AoC16.cpp

// AoC16.cpp : Defines the entry point for the console application.
//

#include "stdafx.h"
#include "Lib.h"
#include <iostream>
using std::cerr;
using std::cout;
#include <cstdint>

class FormatException{};

enum class moveName{spin, exchange, partner};

string mnToS(moveName a)
{
	if (a == moveName::spin)
	{
		return string("spin");
	}
	if (a == moveName::exchange)
	{
		return string("exchange");
	}
	if (a == moveName::partner)
	{
		return string("partner");
	}
	return string("Unknown");
}

class instruction
{
public:
	moveName mn;
	int no1;
	int no2;
	char cand1;
	char cand2;
};

instruction parseMove(string &a)
{
	instruction nm;
	if (a[0] == 's')
	{
		nm.mn = moveName::spin;
	}
	if (a[0] == 'x')
	{
		nm.mn = moveName::exchange;
	}

	if (a[0] == 'p')
	{
		nm.mn = moveName::partner;
	}

	unsigned int i = 1;

	if (nm.mn == moveName::partner)
	{
		nm.cand1 = a[i];
		i++;
		if (a[i] != '/')
		{
			throw FormatException();
		}
		i++;

		nm.cand2 = a[i];
		return nm;
	}
	else
	{
		unsigned int con = 0;
		int cand = decodeInt(a, i, &con);

		nm.no1 = cand;

		if (nm.mn == moveName::spin)
		{
			return nm;
		}
		else if (nm.mn == moveName::exchange)
		{
			i += con;
			if (a[i] != '/')
			{
				throw FormatException();
			}
			i++;

			con = 0;
			cand = decodeInt(a, i, &con);

			nm.no2 = cand;
			return nm;
		}

	}



}

vector<instruction> parse(string &input)
{
	vector<instruction> out;
	vector<string> sIn = splitComma(input);

	for (auto &s : sIn)
	{
		out.push_back(parseMove(s));
	}
	return out;
}


inline void partner(vector<char> &arr, char i1, char i2)
{
	int ind1 = 0;
	bool ind1found = false;
	int ind2 = 0;
	bool ind2found = false;

	for (int j = 0; j!=arr.size() ; j++)
	{
		if (arr[j] == i1)
		{
			ind1 = j;
			ind1found = true;
		}
	}

	for (int j = 0; j != arr.size(); j++)
	{
		if (arr[j] == i2)
		{
			ind2 = j;
			ind2found = true;
		}
	}

	char temp = arr[ind2];
	arr[ind2] = arr[ind1];
	arr[ind1] = temp;
}

inline void exchange(vector<char> &arr, int no1, int no2)
{
	char temp = arr[no2];
	arr[no2] = arr[no1];
	arr[no1] = temp;
}

inline void spin(vector<char> &arr, int i)
{
	vector<char> out;
	for (int j = arr.size() - i; j != arr.size(); j++)
	{
		out.push_back(arr[j]);
	}
	for (int j = 0; j!=arr.size()-i ; j++)
	{
		out.push_back(arr[j]);
	}
	arr = out;
}

inline void doInsn(vector<char> &arr, instruction &i)
{
	if (i.mn == moveName::spin)
	{
		spin(arr, i.no1);
	}
	if (i.mn == moveName::exchange)
	{
		exchange(arr, i.no1, i.no2);
	}
	if (i.mn == moveName::partner)
	{
		partner(arr, i.cand1, i.cand2);
	}
}

void pass(vector<char> &arr)
{
	exchange(arr, 0, 5);
	spin(arr, 2);
	exchange(arr, 2, 10);
	spin(arr, 11);
	exchange(arr, 4, 12);
	partner(arr, 'g', 'k');
	exchange(arr, 13, 10);
	spin(arr, 11);
	exchange(arr, 3, 14);
	partner(arr, 'e', 'p');
	spin(arr, 10);
	exchange(arr, 8, 4);
	spin(arr, 1);
	exchange(arr, 6, 15);
	spin(arr, 4);
	exchange(arr, 14, 12);
	partner(arr, 'c', 'l');
	exchange(arr, 5, 0);
	spin(arr, 2);
	exchange(arr, 9, 15);
	spin(arr, 8);
	exchange(arr, 8, 1);
	partner(arr, 'm', 'g');
	exchange(arr, 15, 4);
	spin(arr, 5);
	exchange(arr, 0, 7);
	partner(arr, 'j', 'h');
	exchange(arr, 13, 10);
	spin(arr, 10);
	exchange(arr, 1, 14);
	spin(arr, 1);
	exchange(arr, 0, 2);
	spin(arr, 2);
	exchange(arr, 7, 14);
	spin(arr, 10);
	exchange(arr, 2, 5);
	partner(arr, 'k', 'o');
	exchange(arr, 15, 13);
	spin(arr, 9);
	exchange(arr, 5, 8);
	partner(arr, 'n', 'f');
	exchange(arr, 15, 2);
	spin(arr, 1);
	exchange(arr, 6, 4);
	partner(arr, 'a', 'i');
	exchange(arr, 8, 14);
	partner(arr, 'c', 'o');
	exchange(arr, 5, 7);
	spin(arr, 7);
	exchange(arr, 3, 12);
	spin(arr, 12);
	exchange(arr, 9, 15);
	partner(arr, 'i', 'm');
	exchange(arr, 8, 12);
	spin(arr, 8);
	exchange(arr, 10, 14);
	spin(arr, 10);
	exchange(arr, 5, 2);
	partner(arr, 'g', 'a');
	exchange(arr, 3, 14);
	spin(arr, 9);
	exchange(arr, 7, 8);
	partner(arr, 'f', 'k');
	spin(arr, 5);
	exchange(arr, 6, 10);
	partner(arr, 'm', 'p');
	exchange(arr, 12, 5);
	spin(arr, 14);
	exchange(arr, 6, 9);
	partner(arr, 'e', 'c');
	exchange(arr, 11, 4);
	spin(arr, 6);
	exchange(arr, 13, 12);
	partner(arr, 'b', 'i');
	exchange(arr, 10, 11);
	spin(arr, 8);
	exchange(arr, 6, 5);
	spin(arr, 1);
	exchange(arr, 3, 11);
	spin(arr, 5);
	exchange(arr, 9, 8);
	spin(arr, 1);
	exchange(arr, 4, 7);
	spin(arr, 14);
	exchange(arr, 9, 6);
	partner(arr, 'p', 'k');
	spin(arr, 12);
	exchange(arr, 2, 4);
	spin(arr, 8);
	exchange(arr, 3, 12);
	spin(arr, 8);
	exchange(arr, 11, 1);
	partner(arr, 'c', 'f');
	exchange(arr, 14, 9);
	partner(arr, 'e', 'b');
	exchange(arr, 15, 10);
	spin(arr, 10);
	exchange(arr, 9, 0);
	spin(arr, 10);
	exchange(arr, 6, 14);
	spin(arr, 7);
	exchange(arr, 4, 9);
	spin(arr, 12);
	exchange(arr, 3, 15);
	spin(arr, 4);
	partner(arr, 'c', 'o');
	exchange(arr, 0, 8);
	partner(arr, 'l', 'k');
	exchange(arr, 12, 11);
	spin(arr, 15);
	exchange(arr, 3, 1);
	spin(arr, 3);
	exchange(arr, 2, 13);
	spin(arr, 7);
	exchange(arr, 5, 8);
	spin(arr, 6);
	exchange(arr, 4, 7);
	partner(arr, 'm', 'b');
	exchange(arr, 10, 2);
	spin(arr, 8);
	exchange(arr, 11, 12);
	spin(arr, 8);
	exchange(arr, 10, 14);
	partner(arr, 'e', 'j');
	exchange(arr, 7, 15);
	spin(arr, 6);
	exchange(arr, 4, 12);
	spin(arr, 10);
	exchange(arr, 1, 6);
	partner(arr, 'm', 'g');
	exchange(arr, 15, 11);
	partner(arr, 'k', 'n');
	exchange(arr, 8, 0);
	spin(arr, 5);
	partner(arr, 'i', 'f');
	exchange(arr, 4, 11);
	partner(arr, 'o', 'p');
	spin(arr, 15);
	exchange(arr, 2, 3);
	partner(arr, 'c', 'a');
	exchange(arr, 11, 4);
	partner(arr, 'j', 'm');
	exchange(arr, 7, 8);
	spin(arr, 15);
	exchange(arr, 0, 5);
	spin(arr, 8);
	exchange(arr, 9, 15);
	partner(arr, 'b', 'n');
	exchange(arr, 0, 14);
	spin(arr, 10);
	exchange(arr, 11, 1);
	partner(arr, 'o', 'p');
	exchange(arr, 8, 3);
	partner(arr, 'g', 'k');
	exchange(arr, 6, 15);
	spin(arr, 8);
	exchange(arr, 3, 13);
	spin(arr, 13);
	exchange(arr, 1, 11);
	spin(arr, 11);
	exchange(arr, 0, 3);
	partner(arr, 'i', 'a');
	exchange(arr, 12, 1);
	spin(arr, 2);
	exchange(arr, 10, 0);
	spin(arr, 7);
	partner(arr, 'c', 'h');
	exchange(arr, 12, 9);
	partner(arr, 'i', 'j');
	exchange(arr, 1, 13);
	spin(arr, 4);
	exchange(arr, 0, 7);
	spin(arr, 3);
	exchange(arr, 9, 8);
	spin(arr, 3);
	partner(arr, 'a', 'f');
	exchange(arr, 3, 7);
	partner(arr, 'l', 'j');
	exchange(arr, 0, 8);
	spin(arr, 11);
	exchange(arr, 9, 12);
	spin(arr, 10);
	exchange(arr, 6, 13);
	partner(arr, 'e', 'a');
	spin(arr, 11);
	exchange(arr, 9, 7);
	partner(arr, 'c', 'o');
	exchange(arr, 3, 1);
	partner(arr, 'a', 'n');
	exchange(arr, 2, 7);
	spin(arr, 5);
	exchange(arr, 15, 12);
	partner(arr, 'g', 'm');
	exchange(arr, 10, 3);
	spin(arr, 3);
	exchange(arr, 15, 13);
	spin(arr, 2);
	exchange(arr, 1, 11);
	partner(arr, 'k', 'b');
	exchange(arr, 12, 6);
	spin(arr, 4);
	exchange(arr, 0, 13);
	partner(arr, 'd', 'f');
	spin(arr, 8);
	exchange(arr, 1, 10);
	spin(arr, 13);
	exchange(arr, 0, 3);
	spin(arr, 8);
	exchange(arr, 2, 6);
	spin(arr, 9);
	exchange(arr, 12, 14);
	partner(arr, 'p', 'i');
	exchange(arr, 13, 5);
	partner(arr, 'b', 'f');
	spin(arr, 12);
	exchange(arr, 12, 15);
	partner(arr, 'c', 'k');
	spin(arr, 1);
	exchange(arr, 3, 13);
	partner(arr, 'b', 'l');
	exchange(arr, 11, 0);
	spin(arr, 11);
	exchange(arr, 3, 12);
	spin(arr, 2);
	partner(arr, 'p', 'm');
	exchange(arr, 1, 15);
	partner(arr, 'h', 'n');
	exchange(arr, 0, 12);
	spin(arr, 10);
	exchange(arr, 6, 4);
	spin(arr, 1);
	exchange(arr, 1, 5);
	partner(arr, 'o', 'k');
	spin(arr, 2);
	exchange(arr, 6, 2);
	spin(arr, 12);
	exchange(arr, 8, 12);
	partner(arr, 'm', 'i');
	exchange(arr, 1, 9);
	spin(arr, 12);
	exchange(arr, 3, 10);
	spin(arr, 14);
	exchange(arr, 13, 0);
	spin(arr, 8);
	exchange(arr, 14, 2);
	partner(arr, 'n', 'b');
	exchange(arr, 5, 0);
	spin(arr, 14);
	exchange(arr, 1, 8);
	spin(arr, 8);
	exchange(arr, 15, 11);
	partner(arr, 'l', 'f');
	exchange(arr, 5, 1);
	spin(arr, 2);
	exchange(arr, 3, 13);
	partner(arr, 'd', 'g');
	exchange(arr, 4, 10);
	spin(arr, 3);
	exchange(arr, 15, 7);
	spin(arr, 13);
	exchange(arr, 9, 12);
	partner(arr, 'c', 'n');
	exchange(arr, 2, 13);
	spin(arr, 10);
	exchange(arr, 6, 5);
	partner(arr, 'f', 'b');
	exchange(arr, 12, 1);
	partner(arr, 'c', 'g');
	exchange(arr, 4, 11);
	spin(arr, 7);
	exchange(arr, 8, 0);
	spin(arr, 11);
	exchange(arr, 15, 3);
	partner(arr, 'l', 'o');
	spin(arr, 13);
	exchange(arr, 2, 8);
	spin(arr, 1);
	exchange(arr, 4, 12);
	spin(arr, 3);
	partner(arr, 'j', 'f');
	exchange(arr, 2, 14);
	partner(arr, 'l', 'g');
	exchange(arr, 15, 13);
	partner(arr, 'b', 'd');
	exchange(arr, 10, 14);
	spin(arr, 12);
	exchange(arr, 8, 9);
	spin(arr, 4);
	exchange(arr, 13, 4);
	partner(arr, 'i', 'o');
	spin(arr, 1);
	exchange(arr, 2, 0);
	spin(arr, 14);
	exchange(arr, 1, 10);
	spin(arr, 7);
	exchange(arr, 7, 5);
	partner(arr, 'f', 'n');
	spin(arr, 1);
	exchange(arr, 6, 4);
	partner(arr, 'e', 'd');
	exchange(arr, 15, 10);
	spin(arr, 14);
	partner(arr, 'c', 'l');
	exchange(arr, 5, 1);
	spin(arr, 2);
	exchange(arr, 4, 9);
	spin(arr, 11);
	exchange(arr, 13, 6);
	spin(arr, 5);
	exchange(arr, 8, 12);
	spin(arr, 15);
	exchange(arr, 13, 6);
	partner(arr, 'b', 'g');
	exchange(arr, 7, 15);
	partner(arr, 'j', 'h');
	exchange(arr, 13, 5);
	spin(arr, 11);
	exchange(arr, 3, 1);
	spin(arr, 8);
	exchange(arr, 5, 0);
	partner(arr, 'l', 'i');
	exchange(arr, 10, 11);
	partner(arr, 'd', 'f');
	exchange(arr, 0, 6);
	spin(arr, 3);
	exchange(arr, 8, 7);
	spin(arr, 4);
	partner(arr, 'm', 'i');
	exchange(arr, 1, 0);
	spin(arr, 5);
	exchange(arr, 9, 6);
	spin(arr, 5);
	partner(arr, 'n', 'b');
	exchange(arr, 10, 7);
	partner(arr, 'c', 'h');
	exchange(arr, 1, 9);
	spin(arr, 9);
	exchange(arr, 14, 12);
	partner(arr, 'i', 'm');
	exchange(arr, 5, 7);
	partner(arr, 'o', 'j');
	exchange(arr, 14, 10);
	partner(arr, 'h', 'm');
	exchange(arr, 3, 0);
	spin(arr, 3);
	exchange(arr, 11, 13);
	partner(arr, 'j', 'p');
	exchange(arr, 3, 10);
	spin(arr, 10);
	exchange(arr, 0, 15);
	spin(arr, 7);
	exchange(arr, 12, 10);
	spin(arr, 2);
	exchange(arr, 7, 5);
	partner(arr, 'g', 'd');
	exchange(arr, 1, 2);
	partner(arr, 'h', 'i');
	exchange(arr, 3, 6);
	partner(arr, 'm', 'k');
	exchange(arr, 1, 7);
	spin(arr, 10);
	exchange(arr, 11, 6);
	spin(arr, 13);
	exchange(arr, 7, 13);
	spin(arr, 11);
	exchange(arr, 15, 0);
	spin(arr, 3);
	exchange(arr, 5, 3);
	partner(arr, 'o', 'c');
	spin(arr, 15);
	exchange(arr, 2, 4);
	partner(arr, 'l', 'a');
	exchange(arr, 8, 7);
	spin(arr, 1);
	exchange(arr, 12, 0);
	spin(arr, 8);
	exchange(arr, 1, 9);
	partner(arr, 'j', 'o');
	exchange(arr, 7, 15);
	spin(arr, 5);
	exchange(arr, 2, 10);
	spin(arr, 6);
	partner(arr, 'a', 'f');
	exchange(arr, 15, 9);
	spin(arr, 3);
	partner(arr, 'g', 'l');
	exchange(arr, 13, 12);
	partner(arr, 'd', 'n');
	exchange(arr, 14, 6);
	spin(arr, 13);
	exchange(arr, 7, 13);
	spin(arr, 3);
	exchange(arr, 1, 6);
	partner(arr, 'h', 'c');
	exchange(arr, 3, 12);
	spin(arr, 10);
	exchange(arr, 9, 8);
	spin(arr, 2);
	exchange(arr, 3, 6);
	partner(arr, 'f', 'l');
	exchange(arr, 8, 1);
	partner(arr, 'd', 'a');
	exchange(arr, 4, 11);
	spin(arr, 11);
	exchange(arr, 9, 14);
	partner(arr, 'o', 'i');
	exchange(arr, 2, 1);
	spin(arr, 1);
	partner(arr, 'h', 'e');
	exchange(arr, 11, 9);
	spin(arr, 1);
	exchange(arr, 2, 7);
	spin(arr, 9);
	exchange(arr, 11, 1);
	spin(arr, 13);
	exchange(arr, 0, 8);
	partner(arr, 'a', 'j');
	exchange(arr, 15, 12);
	spin(arr, 3);
	exchange(arr, 6, 14);
	partner(arr, 'c', 'p');
	exchange(arr, 7, 9);
	partner(arr, 'm', 'j');
	exchange(arr, 5, 11);
	spin(arr, 13);
	exchange(arr, 8, 10);
	spin(arr, 8);
	exchange(arr, 6, 4);
	spin(arr, 9);
	exchange(arr, 12, 5);
	partner(arr, 'd', 'i');
	exchange(arr, 11, 1);
	spin(arr, 10);
	exchange(arr, 6, 10);
	spin(arr, 14);
	exchange(arr, 7, 11);
	spin(arr, 12);
	exchange(arr, 12, 2);
	spin(arr, 4);
	exchange(arr, 5, 11);
	partner(arr, 'l', 'g');
	exchange(arr, 13, 15);
	partner(arr, 'h', 'k');
	exchange(arr, 9, 11);
	spin(arr, 8);
	exchange(arr, 7, 2);
	spin(arr, 6);
	exchange(arr, 5, 11);
	partner(arr, 'm', 'g');
	exchange(arr, 14, 15);
	spin(arr, 3);
	exchange(arr, 11, 9);
	partner(arr, 'k', 'h');
	exchange(arr, 12, 15);
	spin(arr, 3);
	exchange(arr, 5, 14);
	partner(arr, 'e', 'a');
	exchange(arr, 2, 12);
	spin(arr, 7);
	exchange(arr, 15, 14);
	spin(arr, 6);
	exchange(arr, 10, 5);
	spin(arr, 2);
	exchange(arr, 1, 0);
	partner(arr, 'b', 'i');
	exchange(arr, 4, 10);
	partner(arr, 'k', 'f');
	exchange(arr, 9, 13);
	partner(arr, 'b', 'o');
	exchange(arr, 2, 0);
	spin(arr, 14);
	exchange(arr, 7, 15);
	spin(arr, 15);
	exchange(arr, 13, 5);
	spin(arr, 6);
	exchange(arr, 9, 14);
	spin(arr, 15);
	exchange(arr, 12, 10);
	spin(arr, 4);
	exchange(arr, 9, 0);
	spin(arr, 1);
	partner(arr, 'g', 'd');
	spin(arr, 13);
	exchange(arr, 12, 7);
	partner(arr, 'p', 'k');
	exchange(arr, 13, 1);
	spin(arr, 1);
	exchange(arr, 12, 6);
	spin(arr, 10);
	exchange(arr, 13, 7);
	partner(arr, 'e', 'n');
	exchange(arr, 1, 4);
	spin(arr, 7);
	exchange(arr, 11, 12);
	spin(arr, 13);
	exchange(arr, 8, 13);
	partner(arr, 'g', 'j');
	exchange(arr, 2, 12);
	spin(arr, 12);
	exchange(arr, 4, 14);
	partner(arr, 'o', 'd');
	exchange(arr, 5, 15);
	spin(arr, 6);
	exchange(arr, 14, 8);
	spin(arr, 15);
	exchange(arr, 11, 2);
	spin(arr, 4);
	exchange(arr, 4, 6);
	spin(arr, 15);
	exchange(arr, 14, 7);
	spin(arr, 11);
	exchange(arr, 15, 4);
	partner(arr, 'f', 'm');
	exchange(arr, 7, 14);
	spin(arr, 13);
	exchange(arr, 10, 12);
	spin(arr, 3);
	exchange(arr, 3, 6);
	spin(arr, 7);
	exchange(arr, 2, 13);
	spin(arr, 8);
	exchange(arr, 0, 6);
	partner(arr, 'j', 'a');
	exchange(arr, 15, 10);
	partner(arr, 'b', 'd');
	spin(arr, 15);
	exchange(arr, 7, 2);
	spin(arr, 8);
	exchange(arr, 5, 11);
	spin(arr, 11);
	exchange(arr, 6, 15);
	spin(arr, 15);
	exchange(arr, 13, 1);
	spin(arr, 3);
	exchange(arr, 14, 5);
	spin(arr, 14);
	exchange(arr, 15, 3);
	partner(arr, 'k', 'n');
	exchange(arr, 14, 8);
	spin(arr, 8);
	exchange(arr, 3, 6);
	spin(arr, 6);
	exchange(arr, 8, 11);
	partner(arr, 'm', 'p');
	exchange(arr, 12, 14);
	partner(arr, 'c', 'o');
	exchange(arr, 13, 3);
	spin(arr, 14);
	exchange(arr, 8, 4);
	partner(arr, 'i', 'm');
	exchange(arr, 7, 14);
	partner(arr, 'd', 'g');
	exchange(arr, 9, 0);
	spin(arr, 13);
	exchange(arr, 15, 4);
	spin(arr, 7);
	exchange(arr, 10, 9);
	spin(arr, 13);
	exchange(arr, 6, 13);
	spin(arr, 11);
	exchange(arr, 5, 1);
	spin(arr, 15);
	exchange(arr, 6, 14);
	spin(arr, 6);
	exchange(arr, 9, 3);
	partner(arr, 'j', 'k');
	exchange(arr, 1, 13);
	spin(arr, 4);
	exchange(arr, 7, 8);
	spin(arr, 6);
	exchange(arr, 10, 2);
	partner(arr, 'b', 'h');
	exchange(arr, 9, 4);
	partner(arr, 'd', 'n');
	exchange(arr, 15, 11);
	spin(arr, 10);
	exchange(arr, 1, 9);
	spin(arr, 10);
	partner(arr, 'p', 'f');
	exchange(arr, 11, 8);
	partner(arr, 'j', 'h');
	exchange(arr, 3, 13);
	spin(arr, 8);
	exchange(arr, 10, 11);
	spin(arr, 8);
	exchange(arr, 3, 8);
	spin(arr, 11);
	exchange(arr, 12, 9);
	partner(arr, 'n', 'p');
	spin(arr, 5);
	exchange(arr, 0, 2);
	spin(arr, 2);
	exchange(arr, 1, 11);
	partner(arr, 'j', 'm');
	exchange(arr, 0, 14);
	spin(arr, 7);
	exchange(arr, 5, 15);
	spin(arr, 14);
	exchange(arr, 11, 2);
	partner(arr, 'g', 'p');
	exchange(arr, 4, 7);
	partner(arr, 'a', 'b');
	exchange(arr, 12, 14);
	spin(arr, 14);
	exchange(arr, 15, 6);
	spin(arr, 2);
	exchange(arr, 14, 9);
	spin(arr, 15);
	exchange(arr, 3, 13);
	spin(arr, 4);
	exchange(arr, 2, 8);
	partner(arr, 'h', 'j');
	exchange(arr, 4, 6);
	spin(arr, 9);
	exchange(arr, 12, 10);
	partner(arr, 'p', 'e');
	exchange(arr, 1, 4);
	partner(arr, 'h', 'f');
	exchange(arr, 12, 11);
	spin(arr, 10);
	exchange(arr, 4, 2);
	spin(arr, 12);
	exchange(arr, 3, 1);
	partner(arr, 'e', 'p');
	exchange(arr, 14, 11);
	spin(arr, 6);
	exchange(arr, 7, 6);
	spin(arr, 6);
	exchange(arr, 1, 5);
	partner(arr, 'c', 'f');
	spin(arr, 11);
	exchange(arr, 6, 3);
	spin(arr, 8);
	partner(arr, 'e', 'i');
	spin(arr, 5);
	exchange(arr, 10, 11);
	spin(arr, 9);
	exchange(arr, 9, 15);
	spin(arr, 15);
	exchange(arr, 3, 7);
	spin(arr, 11);
	exchange(arr, 15, 13);
	spin(arr, 1);
	exchange(arr, 0, 8);
	spin(arr, 12);
	exchange(arr, 4, 15);
	partner(arr, 'k', 'l');
	exchange(arr, 0, 13);
	partner(arr, 'e', 'm');
	exchange(arr, 15, 6);
	spin(arr, 9);
	exchange(arr, 2, 12);
	spin(arr, 3);
	exchange(arr, 11, 1);
	spin(arr, 4);
	exchange(arr, 2, 5);
	spin(arr, 7);
	exchange(arr, 15, 7);
	partner(arr, 'n', 'k');
	exchange(arr, 11, 3);
	spin(arr, 4);
	exchange(arr, 7, 13);
	spin(arr, 3);
	exchange(arr, 4, 5);
	partner(arr, 'f', 'm');
	exchange(arr, 3, 15);
	spin(arr, 10);
	exchange(arr, 12, 10);
	spin(arr, 4);
	exchange(arr, 9, 2);
	spin(arr, 12);
	partner(arr, 'b', 'i');
	exchange(arr, 14, 1);
	spin(arr, 6);
	exchange(arr, 11, 13);
	spin(arr, 10);
	exchange(arr, 3, 7);
	spin(arr, 2);
	exchange(arr, 1, 12);
	spin(arr, 2);
	exchange(arr, 13, 10);
	spin(arr, 14);
	partner(arr, 'f', 'e');
	spin(arr, 6);
	exchange(arr, 2, 12);
	spin(arr, 7);
	exchange(arr, 14, 1);
	partner(arr, 'h', 'j');
	exchange(arr, 12, 8);
	partner(arr, 'e', 'f');
	exchange(arr, 5, 0);
	partner(arr, 'c', 'o');
	exchange(arr, 3, 11);
	spin(arr, 2);
	exchange(arr, 1, 5);
	partner(arr, 'j', 'f');
	exchange(arr, 6, 0);
	spin(arr, 8);
	exchange(arr, 10, 1);
	partner(arr, 'k', 'e');
	exchange(arr, 5, 8);
	partner(arr, 'b', 'j');
	exchange(arr, 7, 10);
	spin(arr, 5);
	exchange(arr, 12, 9);
	partner(arr, 'l', 'p');
	exchange(arr, 0, 1);
	partner(arr, 'g', 'c');
	exchange(arr, 9, 11);
	spin(arr, 3);
	exchange(arr, 12, 1);
	spin(arr, 10);
	exchange(arr, 2, 7);
	spin(arr, 15);
	exchange(arr, 9, 11);
	partner(arr, 'p', 'o');
	exchange(arr, 3, 6);
	spin(arr, 13);
	exchange(arr, 11, 14);
	spin(arr, 9);
	exchange(arr, 10, 7);
	partner(arr, 'c', 'm');
	exchange(arr, 12, 6);
	spin(arr, 10);
	exchange(arr, 5, 9);
	spin(arr, 14);
	exchange(arr, 6, 2);
	partner(arr, 'l', 'd');
	exchange(arr, 12, 15);
	spin(arr, 4);
	exchange(arr, 0, 14);
	partner(arr, 'n', 'o');
	spin(arr, 13);
	exchange(arr, 3, 12);
	partner(arr, 'h', 'c');
	exchange(arr, 7, 5);
	partner(arr, 'o', 'b');
	exchange(arr, 12, 0);
	spin(arr, 7);
	partner(arr, 'p', 'j');
	exchange(arr, 2, 9);
	spin(arr, 2);
	exchange(arr, 0, 5);
	partner(arr, 'b', 'k');
	exchange(arr, 4, 1);
	spin(arr, 2);
	exchange(arr, 7, 5);
	spin(arr, 11);
	exchange(arr, 9, 14);
	spin(arr, 11);
	exchange(arr, 2, 5);
	spin(arr, 13);
	exchange(arr, 6, 10);
	spin(arr, 9);
	exchange(arr, 8, 9);
	partner(arr, 'a', 'g');
	exchange(arr, 1, 15);
	spin(arr, 9);
	exchange(arr, 11, 5);
	spin(arr, 6);
	exchange(arr, 9, 12);
	partner(arr, 'd', 'j');
	exchange(arr, 14, 0);
	partner(arr, 'f', 'k');
	exchange(arr, 6, 12);
	partner(arr, 'l', 'e');
	exchange(arr, 8, 7);
	spin(arr, 8);
	exchange(arr, 11, 10);
	partner(arr, 'j', 'c');
	exchange(arr, 9, 12);
	spin(arr, 2);
	exchange(arr, 13, 11);
	partner(arr, 'o', 'l');
	exchange(arr, 7, 5);
	partner(arr, 'g', 'd');
	exchange(arr, 1, 14);
	spin(arr, 7);
	exchange(arr, 13, 0);
	spin(arr, 12);
	exchange(arr, 6, 15);
	spin(arr, 2);
	exchange(arr, 12, 13);
	spin(arr, 1);
	exchange(arr, 14, 6);
	partner(arr, 'o', 'e');
	exchange(arr, 2, 13);
	spin(arr, 10);
	exchange(arr, 0, 14);
	partner(arr, 'a', 'k');
	spin(arr, 8);
	exchange(arr, 11, 1);
	partner(arr, 'f', 'g');
	exchange(arr, 7, 2);
	spin(arr, 3);
	exchange(arr, 3, 6);
	spin(arr, 5);
	exchange(arr, 1, 4);
	spin(arr, 14);
	exchange(arr, 7, 13);
	spin(arr, 8);
	exchange(arr, 14, 0);
	partner(arr, 'k', 'l');
	exchange(arr, 13, 11);
	spin(arr, 8);
	exchange(arr, 2, 9);
	spin(arr, 3);
	partner(arr, 'o', 'c');
	exchange(arr, 3, 5);
	spin(arr, 14);
	exchange(arr, 14, 2);
	spin(arr, 1);
	exchange(arr, 8, 6);
	spin(arr, 10);
	exchange(arr, 15, 7);
	partner(arr, 'p', 'l');
	exchange(arr, 12, 5);
	partner(arr, 'n', 'h');
	exchange(arr, 9, 14);
	spin(arr, 4);
	exchange(arr, 12, 13);
	partner(arr, 'p', 'm');
	exchange(arr, 7, 15);
	partner(arr, 'f', 'o');
	exchange(arr, 12, 8);
	spin(arr, 13);
	exchange(arr, 4, 11);
	spin(arr, 8);
	exchange(arr, 10, 14);
	partner(arr, 'g', 'd');
	exchange(arr, 3, 5);
	spin(arr, 9);
	exchange(arr, 10, 2);
	partner(arr, 'o', 'k');
	exchange(arr, 1, 0);
	partner(arr, 'c', 'n');
	exchange(arr, 9, 10);
	spin(arr, 3);
	exchange(arr, 1, 5);
	spin(arr, 4);
	exchange(arr, 14, 13);
	spin(arr, 6);
	exchange(arr, 12, 10);
	partner(arr, 'b', 'f');
	exchange(arr, 2, 1);
	spin(arr, 1);
	exchange(arr, 6, 9);
	spin(arr, 3);
	exchange(arr, 2, 10);
	partner(arr, 'j', 'l');
	exchange(arr, 9, 8);
	spin(arr, 10);
	exchange(arr, 3, 13);
	partner(arr, 'o', 'm');
	exchange(arr, 2, 1);
	spin(arr, 6);
	exchange(arr, 15, 3);
	spin(arr, 11);
	exchange(arr, 2, 6);
	spin(arr, 8);
	exchange(arr, 8, 7);
	partner(arr, 'f', 'a');
	exchange(arr, 9, 2);
	spin(arr, 12);
	exchange(arr, 14, 5);
	partner(arr, 'g', 'm');
	spin(arr, 12);
	exchange(arr, 9, 10);
	partner(arr, 'j', 'e');
	exchange(arr, 7, 3);
	spin(arr, 12);
	partner(arr, 'i', 'f');
	exchange(arr, 2, 8);
	partner(arr, 'e', 'k');
	exchange(arr, 3, 7);
	spin(arr, 11);
	exchange(arr, 15, 12);
	partner(arr, 'i', 'a');
	exchange(arr, 10, 4);
	spin(arr, 6);
	exchange(arr, 1, 2);
	spin(arr, 7);
	exchange(arr, 13, 4);
	partner(arr, 'b', 'p');
	spin(arr, 14);
	partner(arr, 'i', 'j');
	exchange(arr, 12, 10);
	spin(arr, 2);
	exchange(arr, 11, 1);
	spin(arr, 2);
	exchange(arr, 8, 14);
	spin(arr, 15);
	exchange(arr, 4, 11);
	spin(arr, 7);
	partner(arr, 'b', 'g');
	spin(arr, 11);
	exchange(arr, 2, 3);
	spin(arr, 5);
	exchange(arr, 15, 8);
	partner(arr, 'p', 'l');
	exchange(arr, 1, 7);
	spin(arr, 14);
	exchange(arr, 15, 12);
	spin(arr, 7);
	exchange(arr, 2, 6);
	partner(arr, 'o', 'k');
	exchange(arr, 13, 4);
	spin(arr, 3);
	exchange(arr, 6, 7);
	spin(arr, 8);
	exchange(arr, 11, 5);
	partner(arr, 'm', 'n');
	exchange(arr, 15, 10);
	spin(arr, 12);
	exchange(arr, 8, 13);
	spin(arr, 10);
	partner(arr, 'o', 'e');
	exchange(arr, 15, 14);
	partner(arr, 'i', 'j');
	exchange(arr, 10, 2);
	spin(arr, 6);
	exchange(arr, 4, 9);
	partner(arr, 'o', 'm');
	exchange(arr, 5, 7);
	spin(arr, 3);
	partner(arr, 'n', 'f');
	exchange(arr, 13, 15);
	spin(arr, 9);
	exchange(arr, 8, 10);
	spin(arr, 7);
	exchange(arr, 4, 13);
	spin(arr, 3);
	exchange(arr, 5, 7);
	spin(arr, 15);
	exchange(arr, 4, 1);
	partner(arr, 'l', 'd');
	spin(arr, 9);
	partner(arr, 'j', 'e');
	exchange(arr, 7, 2);
	partner(arr, 'k', 'a');
	exchange(arr, 14, 11);
	spin(arr, 11);
	exchange(arr, 5, 13);
	spin(arr, 11);
	exchange(arr, 12, 9);
	spin(arr, 11);
	partner(arr, 'd', 'b');
	exchange(arr, 6, 10);
	spin(arr, 8);
	exchange(arr, 4, 2);
	spin(arr, 8);
	exchange(arr, 9, 8);
	partner(arr, 'h', 'g');
	exchange(arr, 1, 4);
	partner(arr, 'l', 'n');
	exchange(arr, 12, 7);
	partner(arr, 'g', 'b');
	spin(arr, 14);
	exchange(arr, 4, 9);
	partner(arr, 'e', 'j');
	exchange(arr, 13, 8);
	spin(arr, 7);
	partner(arr, 'd', 'g');
	exchange(arr, 9, 0);
	spin(arr, 8);
	exchange(arr, 10, 1);
	spin(arr, 1);
	exchange(arr, 8, 0);
	spin(arr, 12);
	exchange(arr, 7, 1);
	spin(arr, 2);
	exchange(arr, 6, 15);
	spin(arr, 9);
	exchange(arr, 5, 2);
	partner(arr, 'l', 'a');
	exchange(arr, 6, 0);
	spin(arr, 11);
	partner(arr, 'h', 'f');
	exchange(arr, 1, 4);
	partner(arr, 'n', 'a');
	exchange(arr, 5, 2);
	spin(arr, 5);
	exchange(arr, 8, 10);
	spin(arr, 2);
	exchange(arr, 6, 2);
	spin(arr, 5);
	partner(arr, 'o', 'l');
	exchange(arr, 0, 12);
	partner(arr, 'e', 'b');
	exchange(arr, 7, 4);
	partner(arr, 'g', 'd');
	exchange(arr, 10, 5);
	partner(arr, 'h', 'i');
	exchange(arr, 1, 8);
	spin(arr, 14);
	partner(arr, 'f', 'c');
	exchange(arr, 4, 13);
	partner(arr, 'n', 'j');
	exchange(arr, 0, 5);
	spin(arr, 3);
	exchange(arr, 15, 14);
	partner(arr, 'd', 'g');
	exchange(arr, 6, 13);
	spin(arr, 5);
	exchange(arr, 10, 12);
	partner(arr, 'p', 'l');
	exchange(arr, 6, 15);
	spin(arr, 7);
	exchange(arr, 12, 13);
	spin(arr, 11);
	exchange(arr, 8, 14);
	partner(arr, 'b', 'g');
	exchange(arr, 6, 10);
	spin(arr, 11);
	exchange(arr, 2, 11);
	partner(arr, 'm', 'e');
	exchange(arr, 5, 6);
	partner(arr, 'a', 'g');
	exchange(arr, 7, 11);
	partner(arr, 'e', 'f');
	exchange(arr, 13, 8);
	spin(arr, 15);
	exchange(arr, 7, 9);
	spin(arr, 9);
	exchange(arr, 5, 15);
	partner(arr, 'k', 'p');
	exchange(arr, 1, 10);
	spin(arr, 14);
	exchange(arr, 15, 8);
	spin(arr, 2);
	exchange(arr, 1, 5);
	spin(arr, 2);
	exchange(arr, 11, 4);
	spin(arr, 2);
	exchange(arr, 0, 2);
	spin(arr, 13);
	exchange(arr, 11, 5);
	spin(arr, 9);
	partner(arr, 'b', 'c');
	exchange(arr, 8, 10);
	spin(arr, 1);
	exchange(arr, 1, 11);
	partner(arr, 'a', 'l');
	exchange(arr, 14, 5);
	spin(arr, 7);
	exchange(arr, 6, 2);
	partner(arr, 'g', 'n');
	exchange(arr, 1, 12);
	spin(arr, 12);
	exchange(arr, 7, 4);
	partner(arr, 'j', 'h');
	exchange(arr, 2, 8);
	partner(arr, 'o', 'd');
	exchange(arr, 3, 6);
	spin(arr, 5);
	exchange(arr, 12, 1);
	partner(arr, 'h', 'a');
	exchange(arr, 13, 9);
	spin(arr, 4);
	exchange(arr, 7, 3);
	spin(arr, 13);
	exchange(arr, 6, 9);
	spin(arr, 7);
	exchange(arr, 13, 7);
	spin(arr, 8);
	exchange(arr, 4, 1);
	partner(arr, 'd', 'g');
	exchange(arr, 7, 9);
	spin(arr, 6);
	exchange(arr, 0, 8);
	partner(arr, 'o', 'p');
	exchange(arr, 1, 2);
	partner(arr, 'i', 'h');
	exchange(arr, 3, 0);
	spin(arr, 2);
	exchange(arr, 2, 15);
	spin(arr, 14);
	exchange(arr, 0, 10);
	spin(arr, 15);
	exchange(arr, 13, 2);
	partner(arr, 'j', 'g');
	exchange(arr, 8, 12);
	partner(arr, 'm', 'k');
	exchange(arr, 7, 11);
	spin(arr, 13);
	exchange(arr, 13, 0);
	partner(arr, 'a', 'n');
	exchange(arr, 11, 8);
	spin(arr, 10);
	exchange(arr, 2, 10);
	spin(arr, 12);
	exchange(arr, 5, 1);
	spin(arr, 12);
	exchange(arr, 0, 9);
	spin(arr, 10);
	exchange(arr, 13, 11);
	partner(arr, 'j', 'l');
	exchange(arr, 10, 15);
	partner(arr, 'e', 'b');
	exchange(arr, 8, 14);
	spin(arr, 13);
	partner(arr, 'h', 'm');
	exchange(arr, 13, 1);
	spin(arr, 3);
	exchange(arr, 6, 11);
	spin(arr, 5);
	exchange(arr, 10, 13);
	spin(arr, 1);
	exchange(arr, 9, 15);
	partner(arr, 'g', 'o');
	exchange(arr, 5, 0);
	spin(arr, 11);
	exchange(arr, 4, 6);
	partner(arr, 'h', 'k');
	exchange(arr, 14, 2);
	partner(arr, 'j', 'n');
	exchange(arr, 3, 11);
	spin(arr, 8);
	exchange(arr, 6, 9);
	spin(arr, 1);
	exchange(arr, 12, 1);
	spin(arr, 8);
	exchange(arr, 2, 4);
	spin(arr, 7);
	exchange(arr, 9, 0);
	partner(arr, 'a', 'e');
	exchange(arr, 8, 7);
	spin(arr, 4);
	exchange(arr, 3, 12);
	partner(arr, 'c', 'i');
	exchange(arr, 8, 1);
	partner(arr, 'n', 'f');
	exchange(arr, 2, 5);
	spin(arr, 13);
	exchange(arr, 9, 12);
	spin(arr, 2);
	exchange(arr, 11, 5);
	spin(arr, 1);
	exchange(arr, 1, 14);
	spin(arr, 10);
	exchange(arr, 2, 7);
	partner(arr, 'm', 'j');
	exchange(arr, 3, 9);
	partner(arr, 'g', 'd');
	spin(arr, 13);
	exchange(arr, 10, 14);
	spin(arr, 4);
	exchange(arr, 11, 13);
	partner(arr, 'i', 'h');
	exchange(arr, 9, 10);
	partner(arr, 'd', 'p');
	exchange(arr, 5, 6);
	spin(arr, 10);
	exchange(arr, 4, 0);
	partner(arr, 'e', 'k');
	exchange(arr, 15, 14);
	partner(arr, 'm', 'd');
	exchange(arr, 13, 7);
	partner(arr, 'c', 'h');
	spin(arr, 1);
	exchange(arr, 6, 2);
	partner(arr, 'b', 'i');
	exchange(arr, 8, 11);
	partner(arr, 'p', 'd');
	spin(arr, 2);
	partner(arr, 'h', 'l');
	exchange(arr, 9, 13);
	partner(arr, 'k', 'd');
	exchange(arr, 14, 2);
	partner(arr, 'l', 'h');
	exchange(arr, 0, 9);
	spin(arr, 8);
	exchange(arr, 2, 10);
	spin(arr, 10);
	exchange(arr, 11, 9);
	partner(arr, 'b', 'n');
	exchange(arr, 15, 10);
	spin(arr, 6);
	exchange(arr, 14, 3);
	spin(arr, 1);
	exchange(arr, 10, 4);
	spin(arr, 3);
	exchange(arr, 7, 11);
	partner(arr, 'm', 'k');
	exchange(arr, 12, 5);
	partner(arr, 'g', 'f');
	spin(arr, 2);
	exchange(arr, 0, 8);
	spin(arr, 1);
	exchange(arr, 14, 3);
	partner(arr, 'b', 'k');
	exchange(arr, 7, 15);
	partner(arr, 'i', 'h');
	exchange(arr, 14, 8);
	partner(arr, 'c', 'm');
	exchange(arr, 1, 3);
	partner(arr, 'h', 'i');
	exchange(arr, 6, 14);
	partner(arr, 'c', 'g');
	exchange(arr, 12, 4);
	spin(arr, 7);
	exchange(arr, 6, 1);
	spin(arr, 3);
	exchange(arr, 15, 13);
	spin(arr, 11);
	exchange(arr, 3, 11);
	spin(arr, 2);
	exchange(arr, 14, 6);
	spin(arr, 13);
	exchange(arr, 4, 12);
	spin(arr, 12);
	exchange(arr, 3, 8);
	spin(arr, 5);
	exchange(arr, 15, 11);
	spin(arr, 2);
	exchange(arr, 14, 4);
	spin(arr, 10);
	exchange(arr, 9, 0);
	spin(arr, 14);
	partner(arr, 'f', 'h');
	exchange(arr, 11, 8);
	spin(arr, 15);
	exchange(arr, 6, 12);
	spin(arr, 14);
	exchange(arr, 4, 9);
	spin(arr, 4);
	exchange(arr, 2, 14);
	partner(arr, 'c', 'a');
	exchange(arr, 9, 5);
	spin(arr, 2);
	partner(arr, 'h', 'g');
	exchange(arr, 14, 3);
	spin(arr, 13);
	exchange(arr, 15, 1);
	partner(arr, 'b', 'j');
	exchange(arr, 14, 3);
	partner(arr, 'e', 'n');
	exchange(arr, 7, 6);
	spin(arr, 6);
	exchange(arr, 13, 2);
	spin(arr, 6);
	exchange(arr, 10, 8);
	spin(arr, 1);
	exchange(arr, 7, 11);
	spin(arr, 10);
	exchange(arr, 3, 2);
	spin(arr, 4);
	exchange(arr, 11, 7);
	partner(arr, 'l', 'g');
	exchange(arr, 0, 12);
	spin(arr, 3);
	exchange(arr, 11, 1);
	spin(arr, 5);
	exchange(arr, 14, 7);
	partner(arr, 'h', 'i');
	exchange(arr, 5, 6);
	partner(arr, 'e', 'm');
	exchange(arr, 2, 8);
	spin(arr, 1);
	exchange(arr, 0, 4);
	spin(arr, 11);
	exchange(arr, 12, 9);
	spin(arr, 13);
	exchange(arr, 8, 3);
	partner(arr, 'g', 'p');
	spin(arr, 3);
	exchange(arr, 4, 6);
	spin(arr, 7);
	exchange(arr, 1, 0);
	spin(arr, 14);
	partner(arr, 'e', 'c');
	exchange(arr, 3, 14);
	partner(arr, 'h', 'p');
	exchange(arr, 0, 13);
	partner(arr, 'n', 'b');
	exchange(arr, 7, 8);
	spin(arr, 3);
	exchange(arr, 15, 12);
	spin(arr, 14);
	exchange(arr, 0, 11);
	partner(arr, 'o', 'f');
	spin(arr, 8);
	exchange(arr, 10, 7);
	spin(arr, 11);
	exchange(arr, 12, 14);
	partner(arr, 'n', 'p');
	exchange(arr, 9, 5);
	partner(arr, 'f', 'i');
	exchange(arr, 10, 11);
	spin(arr, 8);
	exchange(arr, 12, 3);
	partner(arr, 'h', 'p');
	exchange(arr, 14, 4);
	partner(arr, 'k', 'm');
	exchange(arr, 2, 8);
	spin(arr, 2);
	partner(arr, 'o', 'p');
	exchange(arr, 9, 13);
	partner(arr, 'f', 'h');
	exchange(arr, 4, 15);
	spin(arr, 8);
	exchange(arr, 14, 12);
	spin(arr, 8);
	exchange(arr, 11, 7);
	spin(arr, 15);
	partner(arr, 'c', 'b');
	exchange(arr, 14, 3);
	spin(arr, 2);
	exchange(arr, 13, 6);
	spin(arr, 1);
	partner(arr, 'm', 'd');
	exchange(arr, 11, 10);
	spin(arr, 7);
	exchange(arr, 13, 2);
	spin(arr, 9);
	partner(arr, 'i', 'a');
	exchange(arr, 10, 3);
	partner(arr, 'k', 'p');
	exchange(arr, 2, 14);
	partner(arr, 'c', 'o');
	exchange(arr, 13, 3);
	spin(arr, 15);
	exchange(arr, 4, 12);
	spin(arr, 13);
	exchange(arr, 10, 15);
	spin(arr, 3);
	exchange(arr, 6, 13);
	partner(arr, 'k', 'e');
	exchange(arr, 0, 14);
	spin(arr, 10);
	exchange(arr, 7, 10);
	spin(arr, 8);
	exchange(arr, 1, 9);
	spin(arr, 4);
	exchange(arr, 12, 10);
	partner(arr, 'c', 'p');
	exchange(arr, 8, 5);
	partner(arr, 'e', 'h');
	exchange(arr, 6, 14);
	spin(arr, 9);
	exchange(arr, 7, 3);
	spin(arr, 13);
	exchange(arr, 6, 10);
	spin(arr, 5);
	exchange(arr, 9, 4);
	spin(arr, 10);
	exchange(arr, 0, 1);
	spin(arr, 5);
	exchange(arr, 8, 9);
	partner(arr, 'c', 'f');
	exchange(arr, 12, 2);
	spin(arr, 13);
	exchange(arr, 15, 8);
	partner(arr, 'i', 'b');
	spin(arr, 15);
	exchange(arr, 14, 0);
	spin(arr, 8);
	exchange(arr, 2, 5);
	spin(arr, 5);
	exchange(arr, 6, 7);
	partner(arr, 'f', 'a');
	exchange(arr, 1, 4);
	partner(arr, 'c', 'h');
	exchange(arr, 3, 9);
	spin(arr, 15);
	exchange(arr, 11, 12);
	spin(arr, 13);
	exchange(arr, 2, 3);
	spin(arr, 7);
	exchange(arr, 0, 8);
	spin(arr, 6);
	exchange(arr, 13, 3);
	spin(arr, 13);
	exchange(arr, 11, 5);
	partner(arr, 'g', 'k');
	exchange(arr, 0, 15);
	spin(arr, 15);
	exchange(arr, 4, 9);
	partner(arr, 'd', 'l');
	spin(arr, 5);
	exchange(arr, 10, 12);
	spin(arr, 1);
	partner(arr, 'j', 'i');
	exchange(arr, 3, 5);
	partner(arr, 'n', 'e');
	exchange(arr, 2, 0);
	spin(arr, 9);
	exchange(arr, 14, 5);
	spin(arr, 12);
	exchange(arr, 6, 7);
	spin(arr, 7);
	exchange(arr, 12, 15);
	spin(arr, 10);
	exchange(arr, 11, 6);
	spin(arr, 4);
	exchange(arr, 9, 8);
	spin(arr, 6);
	exchange(arr, 1, 5);
	partner(arr, 'p', 'o');
	exchange(arr, 9, 6);
	spin(arr, 5);
	exchange(arr, 8, 12);
	spin(arr, 4);
	exchange(arr, 13, 3);
	partner(arr, 'g', 'm');
	exchange(arr, 15, 12);
	partner(arr, 'l', 'k');
	spin(arr, 8);
	partner(arr, 'a', 'm');
	exchange(arr, 5, 13);
	spin(arr, 4);
	exchange(arr, 6, 8);
	spin(arr, 15);
	exchange(arr, 1, 13);
	spin(arr, 9);
	exchange(arr, 12, 15);
	spin(arr, 15);
	exchange(arr, 8, 11);
	spin(arr, 12);
	exchange(arr, 9, 6);
	partner(arr, 'k', 'h');
	exchange(arr, 0, 10);
	partner(arr, 'f', 'i');
	exchange(arr, 3, 11);
	partner(arr, 'j', 'e');
	spin(arr, 7);
	exchange(arr, 5, 6);
	partner(arr, 'l', 'a');
	exchange(arr, 4, 3);
	partner(arr, 'f', 'o');
	spin(arr, 12);
	exchange(arr, 2, 1);
	spin(arr, 6);
	exchange(arr, 12, 4);
	partner(arr, 'k', 'j');
	exchange(arr, 3, 6);
	spin(arr, 8);
	exchange(arr, 12, 9);
	spin(arr, 13);
	exchange(arr, 2, 6);
	partner(arr, 'n', 'b');
	exchange(arr, 3, 12);
	partner(arr, 'h', 'f');
	exchange(arr, 6, 7);
	partner(arr, 'b', 'c');
	spin(arr, 11);
	exchange(arr, 9, 3);
	spin(arr, 14);
	partner(arr, 'l', 'a');
	exchange(arr, 0, 2);
	partner(arr, 'g', 'k');
	exchange(arr, 5, 8);
	spin(arr, 3);
	exchange(arr, 15, 4);
	partner(arr, 'c', 'f');
	exchange(arr, 7, 14);
	spin(arr, 9);
	exchange(arr, 11, 12);
	spin(arr, 6);
	exchange(arr, 6, 15);
	spin(arr, 6);
	exchange(arr, 2, 4);
	partner(arr, 'k', 'm');
	exchange(arr, 13, 7);
	spin(arr, 5);
	exchange(arr, 1, 2);
	spin(arr, 13);
	exchange(arr, 5, 10);
	partner(arr, 'b', 'c');
	exchange(arr, 2, 4);
	spin(arr, 4);
	exchange(arr, 13, 8);
	spin(arr, 11);
	exchange(arr, 1, 11);
	partner(arr, 'p', 'i');
	exchange(arr, 7, 8);
	partner(arr, 'c', 'j');
	exchange(arr, 13, 10);
	spin(arr, 4);
	exchange(arr, 11, 3);
	spin(arr, 7);
	partner(arr, 'h', 'f');
	exchange(arr, 1, 10);
	partner(arr, 'k', 'a');
	exchange(arr, 11, 0);
	spin(arr, 12);
	exchange(arr, 6, 13);
	spin(arr, 15);
	exchange(arr, 10, 15);
	spin(arr, 7);
	exchange(arr, 2, 13);
	spin(arr, 15);
	exchange(arr, 10, 14);
	spin(arr, 6);
	partner(arr, 'o', 'l');
	exchange(arr, 12, 0);
	spin(arr, 14);
	exchange(arr, 13, 6);
	spin(arr, 6);
	exchange(arr, 11, 5);
	spin(arr, 9);
	exchange(arr, 12, 6);
	partner(arr, 'n', 'j');
	exchange(arr, 3, 9);
	spin(arr, 4);
	exchange(arr, 10, 15);
	spin(arr, 3);
	partner(arr, 'd', 'e');
	exchange(arr, 14, 4);
	spin(arr, 1);
	exchange(arr, 6, 13);
	spin(arr, 9);
	exchange(arr, 0, 14);
	partner(arr, 'a', 'j');
	exchange(arr, 10, 11);
	spin(arr, 15);
	exchange(arr, 1, 13);
	partner(arr, 'm', 'e');
	exchange(arr, 0, 5);
	spin(arr, 11);
	exchange(arr, 1, 10);
	partner(arr, 'a', 'i');
	exchange(arr, 5, 8);
	spin(arr, 12);
	partner(arr, 'e', 'k');
	exchange(arr, 15, 4);
	spin(arr, 7);
	exchange(arr, 14, 8);
	spin(arr, 4);
	exchange(arr, 15, 13);
	partner(arr, 'd', 'n');
	spin(arr, 13);
	exchange(arr, 5, 11);
	spin(arr, 3);
	exchange(arr, 10, 13);
	spin(arr, 1);
	exchange(arr, 12, 7);
	spin(arr, 13);
	exchange(arr, 13, 8);
	spin(arr, 3);
	exchange(arr, 11, 7);
	partner(arr, 'b', 'a');
	exchange(arr, 2, 5);
	partner(arr, 'n', 'k');
	exchange(arr, 3, 15);
	spin(arr, 2);
	exchange(arr, 8, 1);
	spin(arr, 15);
	exchange(arr, 15, 5);
	spin(arr, 7);
	exchange(arr, 3, 12);
	spin(arr, 8);
	exchange(arr, 6, 5);
	spin(arr, 14);
	exchange(arr, 7, 12);
	partner(arr, 'l', 'd');
	exchange(arr, 9, 2);
	spin(arr, 1);
	exchange(arr, 7, 10);
	spin(arr, 9);
	exchange(arr, 5, 3);
	partner(arr, 'g', 'n');
	exchange(arr, 4, 2);
	spin(arr, 14);
	exchange(arr, 7, 0);
	partner(arr, 'p', 'd');
	exchange(arr, 2, 13);
	partner(arr, 'n', 'a');
	exchange(arr, 6, 9);
	partner(arr, 'e', 'k');
	exchange(arr, 14, 0);
	partner(arr, 'p', 'i');
	exchange(arr, 1, 13);
	spin(arr, 5);
	exchange(arr, 8, 3);
	spin(arr, 11);
	exchange(arr, 2, 5);
	partner(arr, 'f', 'g');
	spin(arr, 4);
	exchange(arr, 13, 10);
	spin(arr, 9);
	partner(arr, 'm', 'e');
	spin(arr, 4);
	exchange(arr, 14, 4);
	partner(arr, 'b', 'h');
	exchange(arr, 2, 5);
	spin(arr, 7);
	exchange(arr, 0, 13);
	partner(arr, 'g', 'n');
	exchange(arr, 11, 12);
	partner(arr, 'a', 'p');
	exchange(arr, 0, 9);
	spin(arr, 12);
	exchange(arr, 1, 15);
	partner(arr, 'j', 'n');
	exchange(arr, 3, 0);
	spin(arr, 5);
	partner(arr, 'o', 'k');
	exchange(arr, 5, 4);
	spin(arr, 6);
	exchange(arr, 2, 13);
	partner(arr, 'g', 'f');
	exchange(arr, 1, 3);
	partner(arr, 'a', 'd');
	exchange(arr, 12, 9);
	spin(arr, 8);
	exchange(arr, 6, 13);
	partner(arr, 'l', 'm');
	exchange(arr, 5, 15);
	partner(arr, 'h', 'c');
	exchange(arr, 1, 7);
	spin(arr, 11);
	partner(arr, 'f', 'i');
	exchange(arr, 6, 3);
	partner(arr, 'p', 'd');
	exchange(arr, 11, 5);
	partner(arr, 'a', 'h');
	exchange(arr, 3, 8);
	spin(arr, 13);
	exchange(arr, 12, 11);
	spin(arr, 10);
	exchange(arr, 7, 14);
	partner(arr, 'b', 'o');
	exchange(arr, 12, 15);
	partner(arr, 'l', 'p');
	exchange(arr, 7, 13);
	spin(arr, 9);
	exchange(arr, 4, 0);
	partner(arr, 'c', 'i');
	exchange(arr, 10, 15);
	partner(arr, 'm', 'k');
	spin(arr, 4);
	exchange(arr, 2, 14);
	partner(arr, 'g', 'c');
	spin(arr, 4);
	partner(arr, 'o', 'n');
	exchange(arr, 13, 5);
	spin(arr, 8);
	partner(arr, 'm', 'l');
	exchange(arr, 9, 15);
	spin(arr, 4);
	partner(arr, 'j', 'd');
	exchange(arr, 3, 11);
	partner(arr, 'i', 'p');
	exchange(arr, 13, 5);
	partner(arr, 'a', 'b');
	exchange(arr, 0, 4);
	spin(arr, 6);
	partner(arr, 'n', 'c');
	exchange(arr, 1, 8);
	spin(arr, 5);
	exchange(arr, 2, 5);
	spin(arr, 8);
	exchange(arr, 11, 8);
	spin(arr, 2);
	partner(arr, 'b', 'a');
	exchange(arr, 15, 10);
	spin(arr, 1);
	exchange(arr, 8, 13);
	partner(arr, 'h', 'm');
	exchange(arr, 4, 6);
	partner(arr, 'd', 'a');
	spin(arr, 6);
	exchange(arr, 1, 8);
	spin(arr, 7);
	exchange(arr, 14, 10);
	spin(arr, 4);
	exchange(arr, 1, 13);
	spin(arr, 2);
	partner(arr, 'k', 'f');
	exchange(arr, 11, 9);
	partner(arr, 'b', 'l');
	exchange(arr, 15, 5);
	partner(arr, 'g', 'j');
	exchange(arr, 8, 2);
	partner(arr, 'n', 'e');
	exchange(arr, 0, 5);
	spin(arr, 10);
	exchange(arr, 8, 11);
	partner(arr, 'j', 'c');
	exchange(arr, 5, 14);
	partner(arr, 'i', 'h');
	exchange(arr, 8, 11);
	spin(arr, 9);
	exchange(arr, 4, 5);
	spin(arr, 13);
	exchange(arr, 10, 14);
	spin(arr, 15);
	exchange(arr, 7, 0);
	partner(arr, 'c', 'j');
	exchange(arr, 5, 4);
	partner(arr, 'g', 'a');
	spin(arr, 3);
	exchange(arr, 9, 7);
	spin(arr, 7);
	exchange(arr, 12, 8);
	spin(arr, 12);
	exchange(arr, 0, 1);
	spin(arr, 1);
	partner(arr, 'd', 'n');
	spin(arr, 8);
	exchange(arr, 4, 14);
	partner(arr, 'o', 'l');
	exchange(arr, 5, 3);
	partner(arr, 'k', 'n');
	exchange(arr, 8, 2);
	spin(arr, 10);
	exchange(arr, 3, 1);
	partner(arr, 'g', 'd');
	exchange(arr, 0, 14);
	partner(arr, 'o', 'l');
	exchange(arr, 11, 12);
	partner(arr, 'c', 'j');
	exchange(arr, 4, 1);
	spin(arr, 2);
	exchange(arr, 3, 10);
	partner(arr, 'e', 'f');
	spin(arr, 5);
	exchange(arr, 5, 2);
	spin(arr, 13);
	exchange(arr, 4, 8);
	spin(arr, 15);
	exchange(arr, 13, 9);
	spin(arr, 4);
	exchange(arr, 0, 7);
	partner(arr, 'o', 'c');
	spin(arr, 13);
	exchange(arr, 15, 14);
	spin(arr, 3);
	exchange(arr, 9, 12);
	spin(arr, 12);
	exchange(arr, 10, 8);
	spin(arr, 13);
	exchange(arr, 0, 2);
	spin(arr, 8);
	exchange(arr, 9, 6);
	spin(arr, 14);
	exchange(arr, 0, 11);
	partner(arr, 'i', 'l');
	exchange(arr, 10, 12);
	partner(arr, 'b', 'h');
	exchange(arr, 14, 7);
	spin(arr, 15);
	exchange(arr, 9, 5);
	partner(arr, 'f', 'e');
	exchange(arr, 6, 10);
	partner(arr, 'j', 'd');
	exchange(arr, 2, 14);
	spin(arr, 7);
	exchange(arr, 6, 5);
	spin(arr, 13);
	exchange(arr, 0, 15);
	partner(arr, 'h', 'm');
	exchange(arr, 10, 12);
	spin(arr, 8);
	exchange(arr, 8, 4);
	spin(arr, 8);
	exchange(arr, 10, 9);
	spin(arr, 14);
	exchange(arr, 12, 5);
	spin(arr, 5);
	exchange(arr, 1, 11);
	spin(arr, 3);
	exchange(arr, 15, 4);
	spin(arr, 10);
	exchange(arr, 1, 0);
	partner(arr, 'o', 'l');
	exchange(arr, 6, 3);
	spin(arr, 13);
	exchange(arr, 13, 2);
	partner(arr, 'i', 'f');
	exchange(arr, 10, 9);
	spin(arr, 13);
	exchange(arr, 1, 14);
	partner(arr, 'k', 'e');
	exchange(arr, 8, 5);
	spin(arr, 15);
	exchange(arr, 10, 3);
	partner(arr, 'c', 'p');
	exchange(arr, 4, 5);
	spin(arr, 1);
	exchange(arr, 6, 10);
	partner(arr, 'm', 'b');
	exchange(arr, 15, 1);
	spin(arr, 10);
	exchange(arr, 13, 7);
	spin(arr, 15);
	partner(arr, 'p', 'k');
	exchange(arr, 15, 8);
	spin(arr, 4);
	exchange(arr, 14, 11);
	spin(arr, 3);
	exchange(arr, 15, 10);
	spin(arr, 3);
	exchange(arr, 6, 9);
	partner(arr, 'e', 'i');
	exchange(arr, 13, 4);
	spin(arr, 10);
	exchange(arr, 11, 2);
	spin(arr, 10);
	exchange(arr, 9, 3);
	partner(arr, 'n', 'd');
	exchange(arr, 4, 10);
	spin(arr, 6);
	exchange(arr, 6, 12);
	spin(arr, 12);
	exchange(arr, 7, 8);
	partner(arr, 'f', 'a');
	exchange(arr, 13, 10);
	spin(arr, 6);
	exchange(arr, 6, 11);
	spin(arr, 3);
	exchange(arr, 0, 10);
	spin(arr, 15);
	exchange(arr, 11, 5);
	partner(arr, 'i', 'd');
	exchange(arr, 1, 12);
	partner(arr, 'p', 'e');
	exchange(arr, 15, 11);
	partner(arr, 'f', 'h');
	exchange(arr, 6, 14);
	spin(arr, 9);
	exchange(arr, 10, 12);
	spin(arr, 5);
	exchange(arr, 3, 6);
	spin(arr, 11);
	exchange(arr, 0, 2);
	spin(arr, 9);
	exchange(arr, 9, 10);
	spin(arr, 11);
	exchange(arr, 5, 12);
	spin(arr, 8);
	exchange(arr, 8, 6);
	spin(arr, 11);
	exchange(arr, 13, 15);
	partner(arr, 'n', 'm');
	exchange(arr, 12, 10);
	partner(arr, 'e', 'j');
	exchange(arr, 4, 2);
	partner(arr, 'c', 'o');
	exchange(arr, 6, 1);
	partner(arr, 'n', 'h');
	exchange(arr, 15, 7);
	spin(arr, 4);
	partner(arr, 'a', 'e');
	exchange(arr, 2, 12);
	partner(arr, 'j', 'd');
	exchange(arr, 0, 7);
	spin(arr, 10);
	exchange(arr, 6, 12);
	spin(arr, 10);
	exchange(arr, 0, 14);
	spin(arr, 11);
	partner(arr, 'i', 'c');
	exchange(arr, 7, 6);
	partner(arr, 'k', 'h');
	exchange(arr, 0, 14);
	partner(arr, 'p', 'g');
	exchange(arr, 2, 8);
	partner(arr, 'c', 'f');
	exchange(arr, 6, 13);
	spin(arr, 14);
	exchange(arr, 10, 15);
	partner(arr, 'g', 'm');
	exchange(arr, 1, 12);
	spin(arr, 13);
	exchange(arr, 15, 13);
	partner(arr, 'n', 'a');
	exchange(arr, 5, 3);
	spin(arr, 15);
	exchange(arr, 6, 2);
	spin(arr, 3);
	exchange(arr, 4, 8);
	spin(arr, 13);
	partner(arr, 'e', 'j');
	exchange(arr, 11, 13);
	spin(arr, 11);
	exchange(arr, 15, 9);
	spin(arr, 4);
	exchange(arr, 12, 2);
	spin(arr, 4);
	exchange(arr, 4, 14);
	spin(arr, 15);
	exchange(arr, 13, 9);
	spin(arr, 7);
	exchange(arr, 1, 14);
	spin(arr, 1);
	exchange(arr, 5, 3);
	spin(arr, 14);
	exchange(arr, 4, 11);
	partner(arr, 'g', 'f');
	exchange(arr, 0, 3);
	partner(arr, 'o', 'i');
	exchange(arr, 8, 15);
	partner(arr, 'c', 'f');
	exchange(arr, 10, 13);
	partner(arr, 'h', 'd');
	exchange(arr, 7, 6);
	spin(arr, 15);
	exchange(arr, 13, 3);
	spin(arr, 14);
	partner(arr, 'm', 'k');
	exchange(arr, 5, 0);
	partner(arr, 'a', 'n');
	exchange(arr, 4, 1);
	partner(arr, 'p', 'm');
	exchange(arr, 2, 15);
	partner(arr, 'j', 'n');
	exchange(arr, 12, 8);
	partner(arr, 'c', 'g');
	exchange(arr, 0, 10);
	partner(arr, 'l', 'i');
	exchange(arr, 1, 5);
	spin(arr, 8);
	exchange(arr, 6, 11);
	spin(arr, 8);
	exchange(arr, 14, 2);
	partner(arr, 'n', 'f');
	exchange(arr, 12, 0);
	spin(arr, 5);
	exchange(arr, 8, 4);
	spin(arr, 11);
	exchange(arr, 5, 15);
	partner(arr, 'd', 'i');
	spin(arr, 1);
	exchange(arr, 12, 3);
	spin(arr, 8);
	exchange(arr, 8, 10);
	partner(arr, 'g', 'h');
	exchange(arr, 6, 13);
	partner(arr, 'm', 'j');
	exchange(arr, 0, 14);
	partner(arr, 'b', 'e');
	exchange(arr, 4, 3);
	partner(arr, 'm', 'a');
	exchange(arr, 12, 11);
	partner(arr, 'b', 'n');
	exchange(arr, 7, 9);
	spin(arr, 2);
	exchange(arr, 2, 12);
	partner(arr, 'f', 'h');
	spin(arr, 6);
	exchange(arr, 11, 10);
	partner(arr, 'g', 'j');
	exchange(arr, 14, 9);
	spin(arr, 5);
	exchange(arr, 8, 12);
	spin(arr, 5);
	exchange(arr, 6, 11);
	spin(arr, 2);
	exchange(arr, 8, 14);
	spin(arr, 11);
	partner(arr, 'p', 'n');
	exchange(arr, 1, 3);
	spin(arr, 10);
	exchange(arr, 12, 13);
	partner(arr, 'd', 'j');
	spin(arr, 1);
	exchange(arr, 8, 11);
	spin(arr, 10);
	exchange(arr, 6, 4);
	partner(arr, 'o', 'p');
	exchange(arr, 12, 7);
	partner(arr, 'c', 'a');
	exchange(arr, 6, 0);
	spin(arr, 7);
	exchange(arr, 3, 5);
	spin(arr, 1);
	exchange(arr, 13, 4);
	spin(arr, 11);
	exchange(arr, 5, 0);
	spin(arr, 13);
	exchange(arr, 2, 13);
	spin(arr, 2);
	exchange(arr, 14, 3);
	spin(arr, 8);
	exchange(arr, 15, 1);
	spin(arr, 12);
	partner(arr, 'l', 'f');
	exchange(arr, 3, 8);
	partner(arr, 'd', 'h');
	exchange(arr, 9, 7);
	spin(arr, 15);
	partner(arr, 'g', 'k');
	exchange(arr, 14, 0);
	spin(arr, 4);
	exchange(arr, 7, 2);
	partner(arr, 'e', 'h');
	exchange(arr, 10, 8);
	partner(arr, 'd', 'g');
	spin(arr, 2);
	exchange(arr, 6, 7);
	spin(arr, 14);
	exchange(arr, 3, 9);
	spin(arr, 11);
	exchange(arr, 4, 0);
	spin(arr, 7);
	exchange(arr, 7, 6);
	spin(arr, 13);
	exchange(arr, 10, 13);
	partner(arr, 'j', 'a');
	exchange(arr, 14, 12);
	spin(arr, 8);
	exchange(arr, 6, 5);
	partner(arr, 'h', 'd');
	spin(arr, 9);
	exchange(arr, 15, 10);
	partner(arr, 'n', 'g');
	exchange(arr, 6, 1);
	partner(arr, 'o', 'e');
	exchange(arr, 12, 10);
	partner(arr, 'p', 'c');
	exchange(arr, 1, 3);
	spin(arr, 8);
	exchange(arr, 6, 9);
	partner(arr, 'k', 'd');
	exchange(arr, 5, 1);
	partner(arr, 'c', 'g');
	exchange(arr, 10, 3);
	spin(arr, 2);
	partner(arr, 'd', 'm');
	spin(arr, 2);
	exchange(arr, 4, 2);
	spin(arr, 14);
	exchange(arr, 5, 1);
	spin(arr, 12);
	exchange(arr, 7, 4);
	partner(arr, 'k', 'p');
	exchange(arr, 2, 1);
	spin(arr, 2);
	exchange(arr, 12, 0);
	spin(arr, 13);
	partner(arr, 'c', 'd');
	exchange(arr, 11, 14);
	spin(arr, 3);
	exchange(arr, 8, 4);
	partner(arr, 'h', 'f');
	exchange(arr, 7, 12);
	spin(arr, 3);
	exchange(arr, 13, 2);
	partner(arr, 'a', 'e');
	spin(arr, 2);
	exchange(arr, 11, 15);
	spin(arr, 12);
	exchange(arr, 10, 4);
	partner(arr, 'i', 'j');
	exchange(arr, 9, 13);
	spin(arr, 13);
	exchange(arr, 12, 4);
	partner(arr, 'b', 'p');
	exchange(arr, 3, 8);
	spin(arr, 14);
	exchange(arr, 14, 10);
	spin(arr, 14);
	exchange(arr, 6, 4);
	partner(arr, 'j', 'l');
	exchange(arr, 3, 0);
	partner(arr, 'd', 'e');
	exchange(arr, 11, 13);
	spin(arr, 4);
	partner(arr, 'p', 'o');
	spin(arr, 5);
	partner(arr, 'j', 'c');
	exchange(arr, 2, 6);
	partner(arr, 'p', 'n');
	exchange(arr, 9, 5);
	partner(arr, 'i', 'h');
	exchange(arr, 0, 8);
	spin(arr, 1);
	exchange(arr, 6, 10);
	partner(arr, 'm', 'j');
	exchange(arr, 7, 1);
	spin(arr, 5);
	exchange(arr, 2, 12);
	spin(arr, 11);
	exchange(arr, 15, 3);
	spin(arr, 7);
	exchange(arr, 9, 1);
	spin(arr, 13);
	exchange(arr, 10, 4);
	spin(arr, 8);
	exchange(arr, 13, 5);
	partner(arr, 'e', 'g');
	exchange(arr, 15, 10);
	partner(arr, 'k', 'n');
	exchange(arr, 5, 14);
	partner(arr, 'a', 'f');
	exchange(arr, 2, 3);
	spin(arr, 11);
	exchange(arr, 6, 5);
	spin(arr, 11);
	exchange(arr, 11, 9);
	partner(arr, 'e', 'p');
	exchange(arr, 13, 7);
	spin(arr, 6);
	exchange(arr, 3, 4);
	spin(arr, 2);
	exchange(arr, 5, 0);
	spin(arr, 2);
	exchange(arr, 10, 9);
	spin(arr, 14);
	exchange(arr, 14, 0);
	spin(arr, 14);
	exchange(arr, 13, 8);
	partner(arr, 'o', 'i');
	exchange(arr, 10, 7);
	spin(arr, 7);
	exchange(arr, 3, 15);
	spin(arr, 7);
	exchange(arr, 4, 11);
	partner(arr, 'n', 'h');
	exchange(arr, 15, 0);
	spin(arr, 15);
	exchange(arr, 12, 1);
	spin(arr, 8);
	exchange(arr, 8, 9);
	partner(arr, 'g', 'f');
	exchange(arr, 13, 15);
	spin(arr, 10);
	exchange(arr, 7, 6);
	partner(arr, 'c', 'n');
	exchange(arr, 9, 13);
	spin(arr, 11);
	partner(arr, 'o', 'e');
	exchange(arr, 15, 2);
	spin(arr, 14);
	exchange(arr, 9, 13);
	spin(arr, 8);
	exchange(arr, 5, 1);
	partner(arr, 'd', 'b');
	exchange(arr, 9, 0);
	spin(arr, 12);
	exchange(arr, 4, 1);
	spin(arr, 2);
	exchange(arr, 5, 7);
	spin(arr, 6);
	exchange(arr, 2, 14);
	spin(arr, 9);
	exchange(arr, 7, 12);
	partner(arr, 'o', 'c');
	exchange(arr, 5, 4);
	spin(arr, 6);
	exchange(arr, 11, 1);
	partner(arr, 'j', 'd');
	exchange(arr, 10, 12);
	spin(arr, 1);
	exchange(arr, 9, 7);
	spin(arr, 6);
	exchange(arr, 15, 11);
	partner(arr, 'p', 'k');
	exchange(arr, 6, 12);
	spin(arr, 9);
	exchange(arr, 0, 3);
	spin(arr, 9);
	exchange(arr, 9, 7);
	spin(arr, 8);
	exchange(arr, 3, 1);
	partner(arr, 'b', 'g');
	exchange(arr, 9, 11);
	partner(arr, 'e', 'f');
	exchange(arr, 5, 8);
	spin(arr, 5);
	exchange(arr, 9, 12);
	spin(arr, 12);
	exchange(arr, 8, 13);
	spin(arr, 12);
	exchange(arr, 14, 3);
	partner(arr, 'p', 'k');
	exchange(arr, 9, 0);
	spin(arr, 15);
	exchange(arr, 6, 12);
	partner(arr, 'h', 'o');
	exchange(arr, 5, 10);
	spin(arr, 3);
	exchange(arr, 0, 7);
	partner(arr, 'e', 'i');
	exchange(arr, 8, 14);
	spin(arr, 3);
	exchange(arr, 9, 6);
	spin(arr, 9);
	exchange(arr, 4, 13);
	spin(arr, 12);
	partner(arr, 'f', 'b');
	exchange(arr, 2, 3);
	spin(arr, 10);
	exchange(arr, 7, 13);
	spin(arr, 14);
	exchange(arr, 12, 8);
	partner(arr, 'i', 'o');
	exchange(arr, 15, 14);
	spin(arr, 1);
	exchange(arr, 0, 7);
	partner(arr, 'n', 'c');
	exchange(arr, 13, 14);
	spin(arr, 13);
	exchange(arr, 10, 7);
	spin(arr, 5);
	exchange(arr, 3, 8);
	partner(arr, 'o', 'p');
	exchange(arr, 4, 12);
	spin(arr, 5);
	exchange(arr, 8, 6);
	spin(arr, 15);
	exchange(arr, 14, 12);
	spin(arr, 9);
	exchange(arr, 9, 0);
	partner(arr, 'd', 'j');
	exchange(arr, 3, 4);
	partner(arr, 'e', 'n');
	exchange(arr, 13, 15);
	spin(arr, 15);
	partner(arr, 'k', 'd');
	exchange(arr, 11, 1);
	spin(arr, 1);
	exchange(arr, 4, 5);
	spin(arr, 4);
	partner(arr, 'j', 'l');
	spin(arr, 5);
	exchange(arr, 2, 0);
	partner(arr, 'e', 'g');
	exchange(arr, 15, 5);
	partner(arr, 'k', 'b');
	exchange(arr, 9, 11);
	spin(arr, 11);
	exchange(arr, 7, 1);
	spin(arr, 15);
	exchange(arr, 11, 12);
	partner(arr, 'n', 'l');
	exchange(arr, 8, 2);
	spin(arr, 3);
	exchange(arr, 5, 3);
	partner(arr, 'c', 'i');
	spin(arr, 6);
	exchange(arr, 1, 10);
	spin(arr, 8);
	exchange(arr, 11, 5);
	spin(arr, 12);
	exchange(arr, 7, 14);
	partner(arr, 'o', 'f');
	exchange(arr, 10, 8);
	spin(arr, 10);
	exchange(arr, 3, 7);
	spin(arr, 8);
	exchange(arr, 0, 10);
	partner(arr, 'j', 'n');
	spin(arr, 7);
	exchange(arr, 15, 14);
	partner(arr, 'h', 'c');
	exchange(arr, 11, 0);
	spin(arr, 11);
	exchange(arr, 7, 10);
	spin(arr, 2);
	exchange(arr, 15, 5);
	spin(arr, 2);
	exchange(arr, 12, 3);
	partner(arr, 'f', 'm');
	exchange(arr, 5, 13);
	partner(arr, 'b', 'n');
	exchange(arr, 12, 3);
	spin(arr, 11);
	exchange(arr, 0, 15);
	spin(arr, 14);
	exchange(arr, 11, 5);
	spin(arr, 9);
	exchange(arr, 15, 0);
	spin(arr, 4);
	exchange(arr, 4, 7);
	partner(arr, 'a', 'f');
	exchange(arr, 0, 2);
	spin(arr, 15);
	exchange(arr, 11, 15);
	spin(arr, 3);
	exchange(arr, 10, 0);
	spin(arr, 10);
	exchange(arr, 1, 14);
	partner(arr, 'h', 'p');
	exchange(arr, 2, 8);
	spin(arr, 12);
	exchange(arr, 5, 13);
	partner(arr, 'i', 'f');
	exchange(arr, 9, 14);
	partner(arr, 'k', 'd');
	spin(arr, 9);
	exchange(arr, 7, 15);
	spin(arr, 12);
	exchange(arr, 0, 14);
	partner(arr, 'f', 'l');
	exchange(arr, 3, 12);
	partner(arr, 'm', 'k');
	exchange(arr, 11, 4);
	spin(arr, 6);
	exchange(arr, 2, 9);
	partner(arr, 'e', 'p');
	exchange(arr, 7, 0);
	partner(arr, 'o', 'i');
	exchange(arr, 13, 5);
	partner(arr, 'n', 'p');
	exchange(arr, 3, 10);
	partner(arr, 'f', 'h');
	exchange(arr, 7, 5);
	partner(arr, 'c', 'm');
	exchange(arr, 2, 14);
	spin(arr, 4);
	exchange(arr, 13, 11);
	partner(arr, 'g', 'f');
	exchange(arr, 0, 3);
	spin(arr, 7);
	exchange(arr, 10, 5);
	spin(arr, 7);
	exchange(arr, 9, 2);
	spin(arr, 11);
	exchange(arr, 3, 15);
	partner(arr, 'k', 'o');
	exchange(arr, 4, 12);
	spin(arr, 13);
	exchange(arr, 10, 2);
	spin(arr, 8);
	partner(arr, 'p', 'n');
	exchange(arr, 7, 9);
	spin(arr, 3);
	exchange(arr, 3, 5);
	spin(arr, 8);
	exchange(arr, 10, 0);
	spin(arr, 3);
	exchange(arr, 5, 4);
	partner(arr, 'c', 'k');
	exchange(arr, 7, 3);
	spin(arr, 2);
	exchange(arr, 0, 15);
	partner(arr, 'a', 'b');
	spin(arr, 14);
	exchange(arr, 6, 9);
	partner(arr, 'e', 'f');
	exchange(arr, 12, 15);
	spin(arr, 15);
	partner(arr, 'n', 'c');
	exchange(arr, 1, 4);
	spin(arr, 14);
	exchange(arr, 10, 0);
	spin(arr, 1);
	exchange(arr, 15, 3);
	partner(arr, 'd', 'l');
	exchange(arr, 12, 13);
	spin(arr, 3);
	exchange(arr, 15, 8);
	partner(arr, 'h', 'i');
	exchange(arr, 4, 2);
	spin(arr, 10);
	exchange(arr, 10, 12);
	spin(arr, 1);
	exchange(arr, 13, 7);
	partner(arr, 'l', 'b');
	spin(arr, 13);
	exchange(arr, 5, 9);
	spin(arr, 15);
	exchange(arr, 1, 0);
	spin(arr, 6);
	exchange(arr, 12, 10);
	partner(arr, 'n', 'k');
	exchange(arr, 7, 8);
	partner(arr, 'i', 'd');
	spin(arr, 7);
	exchange(arr, 9, 4);
	partner(arr, 'o', 'c');
	exchange(arr, 6, 12);
	spin(arr, 3);
	exchange(arr, 9, 15);
	spin(arr, 10);
	partner(arr, 'b', 'g');
	exchange(arr, 3, 5);
	partner(arr, 'i', 'f');
	exchange(arr, 7, 11);
	partner(arr, 'n', 'd');
	exchange(arr, 4, 12);
	spin(arr, 2);
	exchange(arr, 8, 13);
	spin(arr, 10);
	exchange(arr, 1, 0);
	spin(arr, 3);
	exchange(arr, 12, 4);
	partner(arr, 'l', 'h');
	exchange(arr, 3, 11);
	spin(arr, 10);
	exchange(arr, 9, 2);
	spin(arr, 11);
	partner(arr, 'i', 'e');
	exchange(arr, 11, 1);
	spin(arr, 12);
	exchange(arr, 13, 12);
	spin(arr, 9);
	exchange(arr, 5, 14);
	spin(arr, 3);
	exchange(arr, 6, 8);
	spin(arr, 12);
	exchange(arr, 13, 11);
	spin(arr, 5);
	exchange(arr, 7, 1);
	spin(arr, 8);
	exchange(arr, 10, 6);
	partner(arr, 'o', 'n');
	spin(arr, 13);
	exchange(arr, 14, 4);
	spin(arr, 15);
	exchange(arr, 6, 13);
	spin(arr, 14);
	exchange(arr, 7, 0);
	spin(arr, 2);
	exchange(arr, 12, 11);
	partner(arr, 'b', 'l');
	exchange(arr, 7, 10);
	spin(arr, 15);
	exchange(arr, 3, 9);
	spin(arr, 9);
	exchange(arr, 11, 15);
	spin(arr, 5);
	exchange(arr, 10, 6);
	partner(arr, 'j', 'i');
	exchange(arr, 11, 8);
	spin(arr, 14);
	exchange(arr, 13, 1);
	spin(arr, 11);
	exchange(arr, 0, 14);
	partner(arr, 'k', 'h');
	exchange(arr, 5, 8);
	spin(arr, 8);
	exchange(arr, 10, 0);
	partner(arr, 'm', 'n');
	exchange(arr, 3, 5);
	spin(arr, 7);
	exchange(arr, 0, 8);
	spin(arr, 10);
	exchange(arr, 2, 10);
	spin(arr, 10);
	exchange(arr, 12, 0);
	partner(arr, 'h', 'p');
	exchange(arr, 8, 4);
	spin(arr, 8);
	partner(arr, 'n', 'm');
	exchange(arr, 12, 0);
	partner(arr, 'b', 'k');
	exchange(arr, 14, 7);
	spin(arr, 1);
	exchange(arr, 6, 2);
	spin(arr, 2);
	exchange(arr, 9, 8);
	spin(arr, 14);
	exchange(arr, 1, 3);
	spin(arr, 10);
	exchange(arr, 10, 8);
	spin(arr, 14);
	exchange(arr, 9, 4);
	spin(arr, 7);
	exchange(arr, 3, 1);
	partner(arr, 'o', 'e');
	exchange(arr, 8, 12);
	partner(arr, 'a', 'b');
	exchange(arr, 13, 11);
	spin(arr, 5);
	exchange(arr, 5, 3);
	spin(arr, 14);
	exchange(arr, 9, 4);
	spin(arr, 11);
	partner(arr, 'c', 'g');
	exchange(arr, 13, 0);
	spin(arr, 15);
	exchange(arr, 3, 10);
	spin(arr, 15);
	exchange(arr, 12, 6);
	spin(arr, 12);
	exchange(arr, 15, 9);
	partner(arr, 'a', 'l');
	exchange(arr, 1, 11);
	spin(arr, 13);
	exchange(arr, 13, 14);
	spin(arr, 13);
	exchange(arr, 8, 10);
	partner(arr, 'd', 'n');
	spin(arr, 4);
	exchange(arr, 3, 11);
	partner(arr, 'b', 'p');
	exchange(arr, 1, 4);
	spin(arr, 1);
	exchange(arr, 10, 8);
	spin(arr, 7);
	exchange(arr, 1, 14);
	spin(arr, 4);
	exchange(arr, 11, 13);
	spin(arr, 15);
	exchange(arr, 15, 14);
	spin(arr, 8);
	exchange(arr, 13, 8);
	spin(arr, 4);
	exchange(arr, 5, 15);
	spin(arr, 11);
	exchange(arr, 7, 8);
	spin(arr, 14);
	exchange(arr, 0, 1);
	spin(arr, 2);
	exchange(arr, 8, 14);
	partner(arr, 'l', 'h');
	exchange(arr, 11, 1);
	spin(arr, 6);
	exchange(arr, 2, 14);
	partner(arr, 'j', 'm');
	exchange(arr, 13, 0);
	spin(arr, 14);
	exchange(arr, 15, 14);
	partner(arr, 'f', 'p');
	exchange(arr, 13, 5);
	partner(arr, 'm', 'b');
	exchange(arr, 6, 1);
	partner(arr, 'k', 'j');
	exchange(arr, 5, 15);
	spin(arr, 6);
	exchange(arr, 9, 11);
	spin(arr, 8);
	exchange(arr, 13, 8);
	spin(arr, 2);
	exchange(arr, 15, 1);
	spin(arr, 15);
	exchange(arr, 4, 8);
	spin(arr, 11);
	exchange(arr, 2, 15);
	partner(arr, 'g', 'n');
	exchange(arr, 5, 3);
	partner(arr, 'h', 'f');
	spin(arr, 1);
	exchange(arr, 6, 15);
	spin(arr, 8);
	exchange(arr, 10, 1);
	spin(arr, 9);
	exchange(arr, 8, 6);
	spin(arr, 5);
	exchange(arr, 4, 1);
	spin(arr, 15);
	exchange(arr, 15, 8);
	spin(arr, 8);
	exchange(arr, 10, 3);
	partner(arr, 'o', 'i');
	exchange(arr, 6, 7);
	partner(arr, 'd', 'e');
	spin(arr, 3);
	exchange(arr, 0, 5);
	spin(arr, 4);
	exchange(arr, 13, 2);
	partner(arr, 'b', 'a');
	spin(arr, 5);
	exchange(arr, 15, 1);
	spin(arr, 11);
	exchange(arr, 14, 9);
	partner(arr, 'o', 'm');
	exchange(arr, 4, 3);
	spin(arr, 7);
	exchange(arr, 6, 12);
	spin(arr, 13);
	exchange(arr, 7, 5);
	partner(arr, 'i', 'g');
	exchange(arr, 14, 0);
	spin(arr, 12);
	exchange(arr, 12, 10);
	spin(arr, 1);
	exchange(arr, 13, 1);
	partner(arr, 'k', 'd');
	exchange(arr, 11, 14);
	spin(arr, 12);
	exchange(arr, 0, 3);
	spin(arr, 4);
	exchange(arr, 10, 2);
	spin(arr, 14);
	exchange(arr, 0, 12);
	partner(arr, 'i', 'b');
	spin(arr, 4);
	exchange(arr, 13, 6);
	partner(arr, 'c', 'j');
	exchange(arr, 14, 4);
	spin(arr, 12);
	partner(arr, 'e', 'p');
	exchange(arr, 2, 13);
	partner(arr, 'h', 'l');
	spin(arr, 15);
	exchange(arr, 12, 3);
	partner(arr, 'e', 'n');
	spin(arr, 15);
	exchange(arr, 6, 5);
	partner(arr, 'm', 'j');
	exchange(arr, 4, 13);
	partner(arr, 'h', 'o');
	exchange(arr, 3, 5);
	spin(arr, 12);
	exchange(arr, 10, 1);
	spin(arr, 1);
	exchange(arr, 6, 9);
	spin(arr, 2);
	partner(arr, 'f', 'l');
	spin(arr, 5);
	partner(arr, 'i', 'o');
	exchange(arr, 12, 1);
	spin(arr, 15);
	exchange(arr, 6, 0);
	partner(arr, 'j', 'm');
	exchange(arr, 11, 1);
	partner(arr, 'g', 'p');
	exchange(arr, 12, 9);
	spin(arr, 2);
	exchange(arr, 8, 11);
	spin(arr, 15);
	exchange(arr, 9, 14);
	spin(arr, 7);
	exchange(arr, 13, 2);
	spin(arr, 14);
	exchange(arr, 1, 15);
	spin(arr, 13);
	exchange(arr, 9, 13);
	spin(arr, 13);
	exchange(arr, 5, 2);
	spin(arr, 5);
	exchange(arr, 6, 3);
	spin(arr, 2);
	exchange(arr, 0, 9);
	partner(arr, 'k', 'o');
	exchange(arr, 6, 13);
	spin(arr, 10);
	exchange(arr, 0, 5);
	partner(arr, 'p', 'a');
	spin(arr, 1);
	exchange(arr, 3, 6);
	spin(arr, 11);
	exchange(arr, 15, 13);
	partner(arr, 'm', 'e');
	spin(arr, 2);
	exchange(arr, 3, 14);
	partner(arr, 'g', 'b');
	exchange(arr, 6, 11);
	spin(arr, 1);
	exchange(arr, 4, 2);
	spin(arr, 11);
	exchange(arr, 1, 15);
	partner(arr, 'o', 'd');
	exchange(arr, 5, 10);
	spin(arr, 4);
	exchange(arr, 8, 7);
	partner(arr, 'a', 'b');
	exchange(arr, 11, 15);
	partner(arr, 'j', 'e');
	exchange(arr, 8, 4);
	spin(arr, 6);
	exchange(arr, 2, 3);
	partner(arr, 'c', 'n');
	exchange(arr, 13, 8);
	partner(arr, 'j', 'k');
	exchange(arr, 5, 2);
	spin(arr, 2);
	exchange(arr, 15, 13);
	partner(arr, 'd', 'c');
	exchange(arr, 11, 2);
	partner(arr, 'f', 'p');
	spin(arr, 9);
	exchange(arr, 8, 0);
	partner(arr, 'j', 'a');
	exchange(arr, 9, 3);
	partner(arr, 'p', 'e');
	spin(arr, 14);
	exchange(arr, 4, 10);
	spin(arr, 6);
	exchange(arr, 0, 7);
	partner(arr, 'b', 'g');
	exchange(arr, 10, 11);
	partner(arr, 'l', 'o');
	exchange(arr, 14, 7);
	spin(arr, 10);
	exchange(arr, 0, 11);
	partner(arr, 'a', 'p');
	exchange(arr, 15, 6);
	spin(arr, 4);
	exchange(arr, 5, 10);
	spin(arr, 14);
	exchange(arr, 14, 9);
	partner(arr, 'i', 'f');
	spin(arr, 11);
	partner(arr, 'g', 'l');
	exchange(arr, 4, 6);
	partner(arr, 'i', 'n');
	exchange(arr, 14, 2);
	spin(arr, 8);
	exchange(arr, 8, 0);
	partner(arr, 'm', 'h');
	exchange(arr, 13, 2);
	spin(arr, 4);
	exchange(arr, 9, 3);
	spin(arr, 8);
	exchange(arr, 11, 2);
	spin(arr, 2);
	exchange(arr, 15, 3);
	partner(arr, 'p', 'g');
	exchange(arr, 1, 2);
	spin(arr, 3);
	exchange(arr, 7, 9);
	spin(arr, 5);
	exchange(arr, 10, 14);
	spin(arr, 9);
	partner(arr, 'm', 'n');
	exchange(arr, 8, 2);
	partner(arr, 'j', 'f');
	exchange(arr, 3, 14);
	partner(arr, 'o', 'c');
	spin(arr, 13);
	exchange(arr, 8, 2);
	spin(arr, 1);
	exchange(arr, 5, 13);
	partner(arr, 'f', 'b');
	exchange(arr, 4, 2);
	partner(arr, 'd', 'j');
	exchange(arr, 5, 0);
	spin(arr, 12);
	exchange(arr, 8, 1);
	partner(arr, 'e', 'b');
	exchange(arr, 14, 3);
	partner(arr, 'p', 'h');
	exchange(arr, 4, 11);
	spin(arr, 7);
	exchange(arr, 12, 10);
	partner(arr, 'i', 'k');
	exchange(arr, 5, 13);
	spin(arr, 7);
	exchange(arr, 2, 8);
	spin(arr, 6);
	exchange(arr, 1, 10);
	spin(arr, 3);
	exchange(arr, 2, 0);
	spin(arr, 2);
	exchange(arr, 6, 1);
	spin(arr, 12);
	partner(arr, 'h', 'l');
	exchange(arr, 13, 10);
	spin(arr, 9);
	exchange(arr, 9, 12);
	spin(arr, 5);
	exchange(arr, 3, 2);
	partner(arr, 'o', 'g');
	exchange(arr, 11, 7);
	spin(arr, 5);
	exchange(arr, 5, 12);
	spin(arr, 10);
	exchange(arr, 11, 0);
	spin(arr, 13);
	exchange(arr, 7, 9);
	spin(arr, 4);
	exchange(arr, 13, 8);
	spin(arr, 9);
	partner(arr, 'b', 'k');
	exchange(arr, 6, 1);
	spin(arr, 12);
	exchange(arr, 0, 7);
	spin(arr, 10);
	partner(arr, 'e', 'j');
	exchange(arr, 6, 8);
	spin(arr, 10);
	exchange(arr, 14, 3);
	partner(arr, 'h', 'n');
	exchange(arr, 12, 9);
	spin(arr, 7);
	exchange(arr, 14, 10);
	spin(arr, 11);
	exchange(arr, 2, 5);
	spin(arr, 3);
	exchange(arr, 4, 3);
	spin(arr, 12);
	exchange(arr, 9, 7);
	partner(arr, 'f', 'k');
	exchange(arr, 0, 15);
	spin(arr, 11);
	exchange(arr, 5, 12);
	spin(arr, 6);
	exchange(arr, 15, 10);
	spin(arr, 9);
	exchange(arr, 0, 4);
	partner(arr, 'p', 'b');
	exchange(arr, 8, 2);
	partner(arr, 'd', 'o');
	exchange(arr, 4, 12);
	spin(arr, 13);
	exchange(arr, 10, 5);
	partner(arr, 'e', 'l');
	exchange(arr, 3, 12);
	partner(arr, 'm', 'd');
	exchange(arr, 7, 13);
	spin(arr, 13);
	exchange(arr, 6, 10);
	spin(arr, 11);
	exchange(arr, 3, 8);
	partner(arr, 'f', 'l');
	exchange(arr, 7, 5);
	spin(arr, 7);
	exchange(arr, 2, 0);
	spin(arr, 11);
	exchange(arr, 5, 12);
	spin(arr, 4);
	exchange(arr, 6, 14);
	spin(arr, 1);
	exchange(arr, 8, 7);
	partner(arr, 'm', 'j');
	exchange(arr, 0, 13);
	partner(arr, 'i', 'h');
	exchange(arr, 3, 6);
	partner(arr, 'b', 'o');
	exchange(arr, 0, 8);
	spin(arr, 12);
	exchange(arr, 3, 13);
	partner(arr, 'p', 'g');
	exchange(arr, 4, 10);
	spin(arr, 14);
	partner(arr, 'c', 'f');
	exchange(arr, 9, 15);
	spin(arr, 6);
	exchange(arr, 11, 5);
	partner(arr, 'i', 'm');
	exchange(arr, 14, 4);
	spin(arr, 4);
	exchange(arr, 12, 11);
	partner(arr, 'k', 'l');
	spin(arr, 3);
	exchange(arr, 2, 7);
	spin(arr, 15);
	exchange(arr, 4, 10);
	partner(arr, 'h', 'g');
	spin(arr, 5);
	exchange(arr, 8, 12);
	partner(arr, 'm', 'f');
	exchange(arr, 14, 2);
	spin(arr, 2);
	exchange(arr, 5, 11);
	spin(arr, 1);
	exchange(arr, 8, 3);
	spin(arr, 1);
	exchange(arr, 5, 11);
	partner(arr, 'o', 'a');
	exchange(arr, 14, 9);
	partner(arr, 'p', 'c');
	exchange(arr, 8, 7);
	spin(arr, 3);
	exchange(arr, 13, 4);
	partner(arr, 'k', 'e');
	exchange(arr, 11, 10);
	partner(arr, 'i', 'd');
	exchange(arr, 5, 7);
	spin(arr, 1);
	exchange(arr, 13, 14);
	spin(arr, 7);
	exchange(arr, 9, 4);
	partner(arr, 'b', 'h');
	exchange(arr, 15, 5);
	spin(arr, 12);
	exchange(arr, 6, 9);
	partner(arr, 'o', 'i');
	exchange(arr, 7, 8);
	partner(arr, 'n', 'l');
	spin(arr, 6);
	exchange(arr, 11, 2);
	spin(arr, 8);
	exchange(arr, 10, 8);
	partner(arr, 'k', 'f');
	exchange(arr, 14, 7);
	partner(arr, 'n', 'p');
	exchange(arr, 2, 0);
	partner(arr, 'i', 'h');
	exchange(arr, 10, 9);
	spin(arr, 14);
	exchange(arr, 0, 6);
	partner(arr, 'g', 'j');
	spin(arr, 13);
	partner(arr, 'f', 'n');
	exchange(arr, 2, 5);
	partner(arr, 'h', 'a');
	spin(arr, 7);
	exchange(arr, 9, 8);
	spin(arr, 11);
	exchange(arr, 1, 7);
	partner(arr, 'i', 'c');
	exchange(arr, 11, 4);
	spin(arr, 13);
	exchange(arr, 12, 1);
	spin(arr, 13);
	exchange(arr, 11, 5);
	spin(arr, 6);
	exchange(arr, 0, 10);
	partner(arr, 'g', 'n');
	exchange(arr, 12, 14);
	partner(arr, 'l', 'p');
	exchange(arr, 7, 3);
	spin(arr, 15);
	exchange(arr, 13, 0);
	partner(arr, 'o', 'e');
	exchange(arr, 3, 12);
	spin(arr, 3);
	exchange(arr, 14, 0);
	partner(arr, 'f', 'h');
	exchange(arr, 15, 2);
	partner(arr, 'e', 'b');
	exchange(arr, 11, 1);
	spin(arr, 10);
	exchange(arr, 10, 9);
	spin(arr, 14);
	exchange(arr, 2, 7);
	partner(arr, 'c', 'f');
	exchange(arr, 1, 5);
	spin(arr, 4);
	exchange(arr, 2, 13);
	partner(arr, 'l', 'i');
	exchange(arr, 0, 15);
	spin(arr, 12);
	exchange(arr, 8, 6);
	spin(arr, 8);
	exchange(arr, 5, 12);
	spin(arr, 2);
	exchange(arr, 2, 10);
	partner(arr, 'j', 'e');
	exchange(arr, 1, 14);
	spin(arr, 14);
	exchange(arr, 8, 15);
	spin(arr, 7);
	exchange(arr, 2, 7);
	partner(arr, 'k', 'a');
	exchange(arr, 14, 3);
	spin(arr, 5);
	exchange(arr, 1, 11);
	spin(arr, 1);
	exchange(arr, 4, 15);
	partner(arr, 'b', 'j');
	exchange(arr, 2, 11);
	partner(arr, 'd', 'p');
	exchange(arr, 9, 5);
	partner(arr, 'm', 'j');
	exchange(arr, 15, 12);
	partner(arr, 'p', 'e');
	exchange(arr, 14, 11);
	spin(arr, 10);
	exchange(arr, 4, 7);
	partner(arr, 'g', 'k');
	spin(arr, 9);
	exchange(arr, 13, 2);
	spin(arr, 11);
	exchange(arr, 3, 8);
	partner(arr, 'p', 'd');
	exchange(arr, 15, 10);
	spin(arr, 11);
	partner(arr, 'b', 'h');
	spin(arr, 15);
	exchange(arr, 1, 5);
	partner(arr, 'k', 'n');
	exchange(arr, 12, 7);
	spin(arr, 5);
	exchange(arr, 15, 8);
	spin(arr, 3);
	exchange(arr, 10, 7);
	partner(arr, 'd', 'c');
	exchange(arr, 1, 5);
	partner(arr, 'e', 'p');
	spin(arr, 4);
	exchange(arr, 12, 15);
	spin(arr, 12);
	partner(arr, 'o', 'd');
	exchange(arr, 4, 3);
	spin(arr, 11);
	exchange(arr, 12, 1);
	partner(arr, 'e', 'g');
	spin(arr, 5);
	exchange(arr, 3, 0);
	spin(arr, 6);
	exchange(arr, 15, 13);
	spin(arr, 8);
	exchange(arr, 0, 12);
	partner(arr, 'l', 'i');
	exchange(arr, 8, 5);
	spin(arr, 6);
	partner(arr, 'k', 'e');
	exchange(arr, 11, 15);
	spin(arr, 9);
	exchange(arr, 12, 10);
	partner(arr, 'j', 'i');
	exchange(arr, 9, 4);
	partner(arr, 'a', 'c');
	exchange(arr, 8, 7);
	spin(arr, 7);
	partner(arr, 'l', 'g');
	exchange(arr, 1, 14);
	spin(arr, 1);
	exchange(arr, 9, 4);
	spin(arr, 12);
	partner(arr, 'o', 'c');
	exchange(arr, 15, 3);
	partner(arr, 'f', 'b');
	exchange(arr, 11, 6);
	spin(arr, 1);
	partner(arr, 'i', 'e');
	spin(arr, 5);
	exchange(arr, 0, 10);
	partner(arr, 'n', 'c');
	exchange(arr, 5, 13);
	spin(arr, 11);
	exchange(arr, 12, 0);
	partner(arr, 'b', 'k');
	exchange(arr, 1, 2);
	spin(arr, 1);
	exchange(arr, 4, 14);
	spin(arr, 10);
	partner(arr, 'n', 'f');
	exchange(arr, 2, 15);
	spin(arr, 8);
	exchange(arr, 3, 14);
	spin(arr, 11);
	exchange(arr, 12, 5);
	partner(arr, 'g', 'm');
	spin(arr, 2);
	exchange(arr, 4, 10);
	spin(arr, 2);
	exchange(arr, 3, 8);
	partner(arr, 'f', 'k');
	exchange(arr, 11, 10);
	partner(arr, 'e', 'o');
	exchange(arr, 1, 4);
	partner(arr, 'k', 'p');
	exchange(arr, 3, 0);
	spin(arr, 8);
	exchange(arr, 4, 14);
	partner(arr, 'i', 'c');
	exchange(arr, 8, 13);
	spin(arr, 3);
	exchange(arr, 4, 3);
	spin(arr, 13);
	exchange(arr, 10, 13);
	partner(arr, 'o', 'p');
	spin(arr, 6);
	exchange(arr, 5, 15);
	partner(arr, 'c', 'g');
	exchange(arr, 3, 7);
	spin(arr, 12);
	exchange(arr, 15, 13);
	partner(arr, 'b', 'l');
	spin(arr, 10);
	exchange(arr, 0, 2);
	spin(arr, 13);
	partner(arr, 'i', 'd');
	exchange(arr, 7, 10);
	spin(arr, 1);
	exchange(arr, 2, 15);
	spin(arr, 10);
	exchange(arr, 5, 9);
	spin(arr, 3);
	exchange(arr, 0, 1);
	partner(arr, 'f', 'g');
	exchange(arr, 5, 6);
	spin(arr, 8);
	exchange(arr, 9, 0);
	partner(arr, 'i', 'p');
	exchange(arr, 1, 11);
	partner(arr, 'h', 'l');
	exchange(arr, 14, 7);
	spin(arr, 12);
	exchange(arr, 15, 0);
	spin(arr, 9);
	exchange(arr, 7, 12);
	partner(arr, 'k', 'f');
	exchange(arr, 1, 5);
	spin(arr, 5);
	exchange(arr, 3, 9);
	spin(arr, 3);
	exchange(arr, 4, 11);
	partner(arr, 'l', 'h');
	exchange(arr, 14, 5);
	partner(arr, 'g', 'i');
	exchange(arr, 8, 1);
	partner(arr, 'm', 'k');
	exchange(arr, 3, 9);
	spin(arr, 14);
	exchange(arr, 1, 4);
	spin(arr, 15);
	exchange(arr, 12, 11);
	partner(arr, 'b', 'g');
	exchange(arr, 2, 13);
	spin(arr, 11);
	exchange(arr, 9, 10);
	spin(arr, 7);
	partner(arr, 'n', 'p');
	exchange(arr, 3, 5);
	spin(arr, 11);
	exchange(arr, 15, 2);
	partner(arr, 'd', 'g');
	exchange(arr, 9, 8);
	spin(arr, 7);
	exchange(arr, 1, 12);
	spin(arr, 2);
	exchange(arr, 3, 5);
	spin(arr, 1);
	partner(arr, 'c', 'n');
	spin(arr, 1);
	exchange(arr, 14, 10);
	spin(arr, 12);
	exchange(arr, 5, 9);
	spin(arr, 5);
	exchange(arr, 7, 15);
	spin(arr, 8);
	exchange(arr, 9, 10);
	spin(arr, 1);
	exchange(arr, 6, 5);
	partner(arr, 'k', 'a');
	exchange(arr, 8, 14);
	spin(arr, 6);
	exchange(arr, 9, 10);
	spin(arr, 3);
	exchange(arr, 12, 4);
	spin(arr, 6);
	exchange(arr, 14, 8);
	partner(arr, 'i', 'f');
	exchange(arr, 15, 13);
	spin(arr, 8);
	partner(arr, 'p', 'g');
	exchange(arr, 12, 6);
	partner(arr, 'f', 'c');
	exchange(arr, 10, 2);
	spin(arr, 13);
	partner(arr, 'm', 'a');
	exchange(arr, 15, 14);
	spin(arr, 1);
	exchange(arr, 10, 6);
	partner(arr, 'j', 'd');
	exchange(arr, 13, 4);
	spin(arr, 11);
	exchange(arr, 1, 15);
	spin(arr, 1);
	exchange(arr, 10, 6);
	spin(arr, 11);
	exchange(arr, 7, 5);
	spin(arr, 3);
	exchange(arr, 14, 4);
	partner(arr, 'n', 'f');
	exchange(arr, 11, 8);
	spin(arr, 1);
	exchange(arr, 10, 5);
	spin(arr, 4);
	exchange(arr, 9, 15);
	partner(arr, 'b', 'h');
	exchange(arr, 13, 8);
	spin(arr, 10);
	exchange(arr, 0, 14);
	spin(arr, 7);
	exchange(arr, 2, 5);
	spin(arr, 5);
	exchange(arr, 4, 13);
	partner(arr, 'p', 'f');
	exchange(arr, 3, 7);
	spin(arr, 14);
	exchange(arr, 8, 2);
	spin(arr, 2);
	exchange(arr, 0, 15);
	spin(arr, 13);
	exchange(arr, 1, 13);
	spin(arr, 11);
	exchange(arr, 12, 3);
	spin(arr, 14);
	exchange(arr, 7, 6);
	spin(arr, 10);
	exchange(arr, 0, 2);
	spin(arr, 15);
	exchange(arr, 6, 14);
	spin(arr, 7);
	exchange(arr, 9, 12);
	partner(arr, 'g', 'j');
	exchange(arr, 4, 13);
	spin(arr, 3);
	exchange(arr, 5, 1);
	partner(arr, 'd', 'b');
	spin(arr, 3);
	exchange(arr, 2, 12);
	spin(arr, 15);
	exchange(arr, 9, 4);
	partner(arr, 'k', 'j');
	exchange(arr, 15, 11);
	spin(arr, 1);
	exchange(arr, 4, 8);
	partner(arr, 'd', 'i');
	exchange(arr, 2, 14);
	spin(arr, 11);
	exchange(arr, 10, 8);
	partner(arr, 'o', 'a');
	exchange(arr, 6, 5);
	spin(arr, 3);
	exchange(arr, 14, 15);
	spin(arr, 7);
	exchange(arr, 2, 8);
	spin(arr, 3);
	exchange(arr, 7, 12);
	partner(arr, 'k', 'p');
	exchange(arr, 1, 10);
	partner(arr, 'm', 'a');
	exchange(arr, 6, 12);
	spin(arr, 8);
	exchange(arr, 2, 7);
	partner(arr, 'h', 'k');
	exchange(arr, 3, 5);
	spin(arr, 4);
	exchange(arr, 0, 2);
	partner(arr, 'c', 'i');
	exchange(arr, 5, 11);
	spin(arr, 7);
	exchange(arr, 0, 7);
	spin(arr, 9);
	exchange(arr, 14, 2);
	spin(arr, 1);
	exchange(arr, 8, 3);
	spin(arr, 3);
	exchange(arr, 1, 11);
	spin(arr, 9);
	exchange(arr, 4, 2);
	spin(arr, 13);
	exchange(arr, 14, 11);
	spin(arr, 6);
	exchange(arr, 9, 2);
	spin(arr, 10);
	exchange(arr, 8, 3);
	spin(arr, 13);
	exchange(arr, 10, 9);
	spin(arr, 1);
	exchange(arr, 15, 1);
	spin(arr, 13);
	partner(arr, 'a', 'k');
	exchange(arr, 11, 10);
	spin(arr, 3);
	exchange(arr, 15, 8);
	spin(arr, 1);
	exchange(arr, 12, 1);
	partner(arr, 'n', 'c');
	exchange(arr, 4, 0);
	partner(arr, 'l', 'o');
	exchange(arr, 3, 10);
	partner(arr, 'g', 'k');
	exchange(arr, 13, 1);
	spin(arr, 10);
	exchange(arr, 15, 6);
	partner(arr, 'j', 'a');
	exchange(arr, 3, 13);
	spin(arr, 7);
	partner(arr, 'p', 'd');
	exchange(arr, 11, 6);
	spin(arr, 1);
	exchange(arr, 15, 0);
	spin(arr, 14);
	exchange(arr, 7, 11);
	spin(arr, 4);
	exchange(arr, 1, 8);
	partner(arr, 'j', 'e');
	exchange(arr, 11, 14);
	partner(arr, 'o', 'd');
	exchange(arr, 7, 4);
	spin(arr, 12);
	exchange(arr, 2, 8);
	partner(arr, 'a', 'j');
	exchange(arr, 13, 11);
	spin(arr, 13);
	exchange(arr, 10, 0);
	spin(arr, 9);
	exchange(arr, 7, 12);
	spin(arr, 8);
	exchange(arr, 3, 11);
	partner(arr, 'd', 'k');
	exchange(arr, 10, 4);
	spin(arr, 12);
	exchange(arr, 15, 5);
	spin(arr, 14);
	exchange(arr, 7, 11);
	spin(arr, 14);
	exchange(arr, 8, 12);
	partner(arr, 'j', 'l');
	exchange(arr, 10, 2);
	partner(arr, 'a', 'o');
	exchange(arr, 9, 0);
	spin(arr, 13);
	exchange(arr, 4, 11);
	partner(arr, 'j', 'c');
	exchange(arr, 10, 3);
	partner(arr, 'e', 'g');
	exchange(arr, 1, 11);
	spin(arr, 4);
	exchange(arr, 14, 0);
	spin(arr, 8);
	exchange(arr, 13, 12);
	partner(arr, 'd', 'a');
	exchange(arr, 10, 4);
	spin(arr, 11);
	exchange(arr, 12, 8);
	partner(arr, 'e', 'f');
	exchange(arr, 4, 11);
	partner(arr, 'm', 'b');
	exchange(arr, 13, 8);
	partner(arr, 'd', 'j');
	spin(arr, 3);
	exchange(arr, 7, 11);
	spin(arr, 12);
	exchange(arr, 1, 5);
	partner(arr, 'k', 'l');
	exchange(arr, 7, 15);
	spin(arr, 7);
	exchange(arr, 2, 0);
	spin(arr, 8);
	exchange(arr, 10, 14);
	spin(arr, 6);
	exchange(arr, 6, 3);
	partner(arr, 'h', 'i');
	exchange(arr, 11, 5);
	spin(arr, 6);
	exchange(arr, 6, 0);
	spin(arr, 4);
	exchange(arr, 14, 10);
	partner(arr, 'f', 'k');
	spin(arr, 3);
	exchange(arr, 11, 2);
	spin(arr, 9);
	exchange(arr, 12, 15);
	spin(arr, 2);
	exchange(arr, 2, 3);
	spin(arr, 5);
	partner(arr, 'p', 'i');
	exchange(arr, 6, 9);
	partner(arr, 'c', 'd');
	exchange(arr, 13, 4);
	partner(arr, 'i', 'f');
	exchange(arr, 7, 15);
	partner(arr, 'm', 'a');
	exchange(arr, 3, 8);
	partner(arr, 'e', 'c');
	exchange(arr, 11, 5);
	partner(arr, 'k', 'f');
	exchange(arr, 2, 6);
	partner(arr, 'b', 'n');
	exchange(arr, 9, 8);
	spin(arr, 12);
	exchange(arr, 11, 3);
	spin(arr, 1);
	exchange(arr, 6, 2);
	spin(arr, 11);
	exchange(arr, 13, 15);
	spin(arr, 4);
	exchange(arr, 6, 7);
	spin(arr, 4);
	exchange(arr, 8, 3);
	spin(arr, 9);
	exchange(arr, 13, 9);
	partner(arr, 'd', 'g');
	exchange(arr, 1, 10);
	spin(arr, 11);
	exchange(arr, 5, 15);
	partner(arr, 'e', 'j');
	exchange(arr, 14, 10);
	spin(arr, 10);
	exchange(arr, 15, 4);
	spin(arr, 2);
	exchange(arr, 8, 2);
	spin(arr, 11);
	exchange(arr, 9, 15);
	spin(arr, 10);
	partner(arr, 'f', 'd');
	exchange(arr, 4, 2);
	partner(arr, 'h', 'c');
	exchange(arr, 8, 15);
	spin(arr, 1);
	exchange(arr, 7, 12);
	partner(arr, 'g', 'e');
	exchange(arr, 15, 2);
	spin(arr, 14);
	partner(arr, 'p', 'a');
	spin(arr, 7);
	exchange(arr, 12, 1);
	partner(arr, 'j', 'h');
	spin(arr, 10);
	exchange(arr, 6, 10);
	partner(arr, 'c', 'p');
	exchange(arr, 12, 14);
	spin(arr, 3);
	exchange(arr, 8, 10);
	spin(arr, 8);
	exchange(arr, 2, 7);
	spin(arr, 10);
	exchange(arr, 1, 3);
	spin(arr, 13);
	exchange(arr, 15, 11);
	spin(arr, 2);
	exchange(arr, 9, 4);
	partner(arr, 'j', 'b');
	exchange(arr, 11, 13);
	partner(arr, 'a', 'n');
	exchange(arr, 9, 10);
	spin(arr, 1);
	exchange(arr, 5, 13);
	partner(arr, 'm', 'i');
	spin(arr, 14);
	exchange(arr, 12, 7);
	spin(arr, 13);
	exchange(arr, 9, 2);
	spin(arr, 5);
	exchange(arr, 10, 11);
	partner(arr, 'b', 'o');
	exchange(arr, 5, 3);
	spin(arr, 9);
	exchange(arr, 7, 9);
	partner(arr, 'g', 'a');
	spin(arr, 2);
	exchange(arr, 5, 11);
	spin(arr, 11);
	exchange(arr, 2, 1);
	partner(arr, 'j', 'h');
	exchange(arr, 0, 9);
	spin(arr, 10);
	exchange(arr, 1, 12);
	spin(arr, 3);
	exchange(arr, 14, 2);
	spin(arr, 8);
	exchange(arr, 1, 3);
	spin(arr, 6);
	exchange(arr, 14, 10);
	partner(arr, 'b', 'e');
	exchange(arr, 11, 6);
	spin(arr, 10);
	exchange(arr, 2, 13);
	spin(arr, 10);
	exchange(arr, 3, 5);
	spin(arr, 9);
	exchange(arr, 14, 0);
	partner(arr, 'f', 'l');
	exchange(arr, 8, 2);
	partner(arr, 'k', 'i');
	exchange(arr, 7, 11);
	partner(arr, 'h', 'f');
	exchange(arr, 1, 3);
	spin(arr, 5);
	exchange(arr, 0, 6);
	partner(arr, 'i', 'k');
	exchange(arr, 11, 4);
	spin(arr, 15);
	exchange(arr, 10, 0);
	spin(arr, 3);
	exchange(arr, 5, 3);
	spin(arr, 5);
	exchange(arr, 15, 10);
	spin(arr, 11);
	exchange(arr, 13, 1);
	partner(arr, 'm', 'e');
	exchange(arr, 7, 6);
	spin(arr, 6);
	exchange(arr, 0, 3);
	spin(arr, 5);
	exchange(arr, 9, 13);
	spin(arr, 9);
	exchange(arr, 5, 2);
	partner(arr, 'h', 'j');
	spin(arr, 3);
	exchange(arr, 1, 12);
	partner(arr, 'g', 'f');
	exchange(arr, 15, 9);
	partner(arr, 'o', 'a');
	spin(arr, 7);
	exchange(arr, 11, 8);
	partner(arr, 'c', 'e');
	spin(arr, 1);
	exchange(arr, 9, 12);
	spin(arr, 10);
	exchange(arr, 11, 3);
	spin(arr, 14);
	exchange(arr, 14, 2);
	partner(arr, 'l', 'm');
	exchange(arr, 0, 8);
	spin(arr, 15);
	exchange(arr, 14, 1);
	spin(arr, 6);
	exchange(arr, 10, 2);
	partner(arr, 'a', 'g');
	exchange(arr, 1, 11);
	spin(arr, 6);
	exchange(arr, 14, 0);
	spin(arr, 3);
	exchange(arr, 8, 4);
	partner(arr, 'h', 'd');
	exchange(arr, 2, 1);
	partner(arr, 'f', 'c');
	exchange(arr, 4, 14);
	partner(arr, 'p', 'e');
	exchange(arr, 2, 13);
	spin(arr, 3);
	exchange(arr, 7, 15);
	spin(arr, 13);
	exchange(arr, 10, 13);
	spin(arr, 13);
	exchange(arr, 9, 4);
	partner(arr, 'm', 'j');
	exchange(arr, 15, 0);
	partner(arr, 'k', 'a');
	exchange(arr, 13, 3);
	spin(arr, 15);
	exchange(arr, 2, 8);
	partner(arr, 'n', 'i');
	exchange(arr, 6, 10);
	spin(arr, 3);
	exchange(arr, 13, 8);
	partner(arr, 'g', 'o');
	exchange(arr, 15, 1);
	spin(arr, 2);
	exchange(arr, 9, 2);
	partner(arr, 'i', 'k');
	exchange(arr, 14, 15);
	spin(arr, 12);
	exchange(arr, 6, 0);
	spin(arr, 1);
	exchange(arr, 9, 7);
	partner(arr, 'm', 'b');
	spin(arr, 1);
	exchange(arr, 2, 1);
	spin(arr, 15);
	exchange(arr, 12, 14);
	partner(arr, 'i', 'n');
	exchange(arr, 9, 8);
	spin(arr, 13);
	exchange(arr, 10, 13);
	spin(arr, 15);
	exchange(arr, 1, 6);
	spin(arr, 15);
	exchange(arr, 2, 11);
	spin(arr, 6);
	exchange(arr, 7, 8);
	spin(arr, 8);
	exchange(arr, 13, 5);
	partner(arr, 'c', 'h');
	exchange(arr, 8, 0);
	spin(arr, 6);
	exchange(arr, 9, 4);
	partner(arr, 'b', 'o');
	exchange(arr, 13, 14);
	partner(arr, 'h', 'c');
	exchange(arr, 8, 5);
	spin(arr, 11);
	exchange(arr, 3, 15);
	spin(arr, 6);
	exchange(arr, 5, 1);
	spin(arr, 7);
	exchange(arr, 7, 8);
	spin(arr, 12);
	exchange(arr, 13, 1);
	spin(arr, 11);
	exchange(arr, 2, 7);
	spin(arr, 13);
	exchange(arr, 8, 5);
	spin(arr, 5);
	exchange(arr, 2, 1);
	spin(arr, 11);
	exchange(arr, 11, 15);
	partner(arr, 'p', 'a');
	exchange(arr, 12, 5);
	partner(arr, 'o', 'c');
	exchange(arr, 9, 0);
	partner(arr, 'n', 'm');
	exchange(arr, 5, 8);
	partner(arr, 'd', 'f');
	exchange(arr, 11, 13);
	spin(arr, 8);
	exchange(arr, 1, 4);
	spin(arr, 13);
	exchange(arr, 5, 11);
	partner(arr, 'o', 'j');
	exchange(arr, 4, 8);
	spin(arr, 1);
	exchange(arr, 12, 15);
	spin(arr, 7);
	exchange(arr, 14, 2);
	spin(arr, 9);
	exchange(arr, 6, 4);
	partner(arr, 'h', 'e');
	exchange(arr, 5, 12);
	spin(arr, 14);
	exchange(arr, 2, 13);
	partner(arr, 'k', 'f');
	exchange(arr, 9, 3);
	partner(arr, 'm', 'd');
	exchange(arr, 7, 1);
	partner(arr, 'i', 'a');
	exchange(arr, 8, 0);
	partner(arr, 'l', 'k');
	exchange(arr, 4, 1);
	partner(arr, 'j', 'o');
	exchange(arr, 13, 0);
	spin(arr, 6);
	exchange(arr, 15, 2);
	partner(arr, 'b', 'g');
	exchange(arr, 11, 13);
	spin(arr, 15);
	exchange(arr, 12, 8);
	spin(arr, 14);
	exchange(arr, 6, 13);
	partner(arr, 'k', 'e');
	spin(arr, 2);
	exchange(arr, 10, 1);
	spin(arr, 1);
	exchange(arr, 14, 6);
	spin(arr, 2);
	exchange(arr, 9, 15);
	spin(arr, 3);
	exchange(arr, 14, 0);
	spin(arr, 14);
	exchange(arr, 9, 8);
	partner(arr, 'p', 'i');
	exchange(arr, 1, 2);
	spin(arr, 4);
	exchange(arr, 10, 11);
	spin(arr, 13);
	exchange(arr, 7, 2);
	partner(arr, 'g', 'e');
	exchange(arr, 12, 6);
	partner(arr, 'h', 'p');
	exchange(arr, 4, 14);
	spin(arr, 5);
	exchange(arr, 0, 5);
	partner(arr, 'c', 'j');
	spin(arr, 5);
	exchange(arr, 13, 3);
	spin(arr, 7);
	exchange(arr, 4, 14);
	partner(arr, 'm', 'e');
	exchange(arr, 7, 15);
	spin(arr, 15);
	exchange(arr, 14, 13);
	partner(arr, 'i', 'a');
	spin(arr, 9);
	exchange(arr, 7, 0);
	partner(arr, 'e', 'c');
	exchange(arr, 13, 2);
	spin(arr, 12);
	exchange(arr, 4, 0);
	spin(arr, 14);
	exchange(arr, 7, 3);
	partner(arr, 'i', 'm');
	exchange(arr, 12, 6);
	spin(arr, 1);
	partner(arr, 'p', 'n');
	exchange(arr, 8, 14);
	spin(arr, 9);
	exchange(arr, 12, 10);
	partner(arr, 'o', 'f');
	exchange(arr, 6, 2);
	spin(arr, 5);
	exchange(arr, 15, 9);
	partner(arr, 'j', 'n');
	exchange(arr, 4, 6);
	spin(arr, 7);
	exchange(arr, 5, 14);
	spin(arr, 2);
	exchange(arr, 7, 3);
	partner(arr, 'o', 'e');
	exchange(arr, 0, 1);
	spin(arr, 7);
	exchange(arr, 6, 12);
	partner(arr, 'i', 'k');
	exchange(arr, 1, 8);
	partner(arr, 'm', 'h');
	exchange(arr, 0, 6);
	partner(arr, 'i', 'b');
	exchange(arr, 8, 10);
	partner(arr, 'c', 'j');
	exchange(arr, 14, 6);
	spin(arr, 10);
	exchange(arr, 2, 1);
	spin(arr, 11);
	exchange(arr, 14, 13);
	spin(arr, 2);
	exchange(arr, 10, 7);
	partner(arr, 'p', 'l');
	exchange(arr, 3, 1);
	spin(arr, 10);
	exchange(arr, 12, 5);
	spin(arr, 7);
	exchange(arr, 4, 6);
	partner(arr, 'e', 'd');
	exchange(arr, 15, 11);
	spin(arr, 1);
	exchange(arr, 1, 12);
	spin(arr, 8);
	exchange(arr, 8, 10);
	spin(arr, 12);
	exchange(arr, 7, 12);
	partner(arr, 'a', 'c');
	exchange(arr, 2, 8);
	partner(arr, 'b', 'n');
	exchange(arr, 0, 6);
	spin(arr, 3);
	exchange(arr, 8, 13);
	spin(arr, 14);
	exchange(arr, 2, 3);
	spin(arr, 15);
	exchange(arr, 8, 5);
	spin(arr, 15);
	partner(arr, 'e', 'i');
	exchange(arr, 10, 0);
	partner(arr, 'h', 'k');
	exchange(arr, 4, 13);
	partner(arr, 'f', 'o');
	exchange(arr, 2, 11);
	partner(arr, 'g', 'i');
	exchange(arr, 0, 6);
	spin(arr, 3);
	exchange(arr, 5, 7);
	partner(arr, 'a', 'h');
	exchange(arr, 6, 8);
	spin(arr, 8);
	exchange(arr, 5, 11);
	spin(arr, 11);
	exchange(arr, 2, 4);
	partner(arr, 'i', 'l');
	exchange(arr, 0, 3);
	partner(arr, 'e', 'g');
	exchange(arr, 4, 11);
	partner(arr, 'l', 'h');
	exchange(arr, 12, 3);
	spin(arr, 2);
	exchange(arr, 0, 1);
	spin(arr, 14);
	exchange(arr, 11, 12);
	spin(arr, 9);
	exchange(arr, 15, 8);
	spin(arr, 3);
	exchange(arr, 13, 12);
	spin(arr, 7);
	exchange(arr, 5, 2);
	spin(arr, 6);
	exchange(arr, 0, 13);
	partner(arr, 'p', 'e');
	exchange(arr, 3, 2);
	partner(arr, 'f', 'c');
	exchange(arr, 11, 1);
	partner(arr, 'o', 'i');
	exchange(arr, 15, 13);
	partner(arr, 'j', 'n');
	exchange(arr, 6, 9);
	spin(arr, 14);
	partner(arr, 'f', 'c');
	exchange(arr, 2, 10);
	spin(arr, 2);
	exchange(arr, 0, 14);
	spin(arr, 4);
	exchange(arr, 13, 4);
	partner(arr, 'b', 'e');
	exchange(arr, 0, 12);
	partner(arr, 'f', 'n');
	exchange(arr, 10, 11);
	spin(arr, 10);
	partner(arr, 'g', 'a');
	exchange(arr, 8, 1);
	spin(arr, 6);
	exchange(arr, 11, 2);
	partner(arr, 'e', 'j');
	exchange(arr, 14, 5);
	spin(arr, 15);
	exchange(arr, 7, 2);
	spin(arr, 6);
	partner(arr, 'd', 'a');
	exchange(arr, 14, 15);
	partner(arr, 'p', 'f');
	exchange(arr, 10, 3);
	partner(arr, 'c', 'g');
	exchange(arr, 13, 11);
	partner(arr, 'e', 'p');
	exchange(arr, 12, 7);
	spin(arr, 6);
	exchange(arr, 8, 3);
	partner(arr, 'k', 'f');
	exchange(arr, 0, 11);
	partner(arr, 'l', 'm');
	exchange(arr, 15, 9);
	partner(arr, 'k', 'd');
	exchange(arr, 2, 3);
	partner(arr, 'e', 'l');
	exchange(arr, 7, 14);
	spin(arr, 7);
	exchange(arr, 3, 0);
	spin(arr, 4);
	partner(arr, 'm', 'j');
	exchange(arr, 7, 5);
	partner(arr, 'c', 'a');
	exchange(arr, 15, 6);
	partner(arr, 'f', 'j');
	exchange(arr, 9, 5);
	spin(arr, 2);
	exchange(arr, 8, 4);
	partner(arr, 'e', 'm');
	exchange(arr, 15, 6);
	partner(arr, 'f', 'p');
	exchange(arr, 11, 10);
	spin(arr, 4);
	exchange(arr, 8, 4);
	spin(arr, 7);
	exchange(arr, 7, 14);
	spin(arr, 13);
	partner(arr, 'a', 'e');
	exchange(arr, 3, 12);
	spin(arr, 1);
	exchange(arr, 9, 7);
	spin(arr, 14);
	exchange(arr, 10, 15);
	spin(arr, 14);
	exchange(arr, 9, 11);
	spin(arr, 7);
	exchange(arr, 10, 1);
	spin(arr, 10);
	exchange(arr, 8, 3);
	partner(arr, 'g', 'l');
	spin(arr, 11);
	partner(arr, 'b', 'f');
	exchange(arr, 13, 2);
	partner(arr, 'h', 'c');
	spin(arr, 9);
	exchange(arr, 10, 11);
	spin(arr, 10);
	exchange(arr, 15, 0);
	spin(arr, 12);
	exchange(arr, 5, 1);
	partner(arr, 'k', 'g');
	exchange(arr, 8, 2);
	partner(arr, 'p', 'n');
	exchange(arr, 7, 9);
	spin(arr, 12);
	exchange(arr, 0, 5);
	spin(arr, 2);
	exchange(arr, 2, 12);
	partner(arr, 'l', 'i');
	exchange(arr, 14, 11);
	spin(arr, 10);
	exchange(arr, 6, 1);
	partner(arr, 'h', 'a');
	spin(arr, 3);
	partner(arr, 'n', 'f');
	exchange(arr, 3, 7);
	spin(arr, 3);
	exchange(arr, 10, 4);
	spin(arr, 4);
	exchange(arr, 2, 5);
	spin(arr, 1);
	exchange(arr, 12, 0);
	spin(arr, 3);
	exchange(arr, 10, 9);
	spin(arr, 1);
	exchange(arr, 13, 8);
	partner(arr, 'i', 'b');
	exchange(arr, 5, 9);
	spin(arr, 15);
	exchange(arr, 11, 0);
	partner(arr, 'g', 'j');
	exchange(arr, 7, 2);
	spin(arr, 4);
	exchange(arr, 0, 6);
	partner(arr, 'c', 'h');
	exchange(arr, 12, 15);
	spin(arr, 13);
	exchange(arr, 11, 5);
	partner(arr, 'a', 'j');
	exchange(arr, 13, 8);
	spin(arr, 13);
	exchange(arr, 6, 10);
	spin(arr, 3);
	exchange(arr, 3, 9);
	spin(arr, 3);
	exchange(arr, 15, 8);
	partner(arr, 'l', 'h');
	exchange(arr, 0, 14);
	spin(arr, 1);
	exchange(arr, 10, 2);
	spin(arr, 15);
	exchange(arr, 13, 3);
	spin(arr, 11);
	exchange(arr, 11, 0);
	partner(arr, 'c', 'a');
	exchange(arr, 13, 7);
	spin(arr, 13);
	exchange(arr, 8, 2);
	spin(arr, 9);
	exchange(arr, 6, 12);
	partner(arr, 'e', 'b');
	exchange(arr, 10, 7);
	spin(arr, 12);
	exchange(arr, 8, 1);
	partner(arr, 'f', 'c');
	exchange(arr, 13, 15);
	spin(arr, 4);
	exchange(arr, 10, 14);
	spin(arr, 2);
	exchange(arr, 5, 9);
	spin(arr, 3);
	exchange(arr, 10, 13);
	spin(arr, 5);
	exchange(arr, 3, 9);
	partner(arr, 'e', 'i');
	exchange(arr, 10, 2);
	spin(arr, 6);
	exchange(arr, 12, 7);
	partner(arr, 'd', 'g');
	exchange(arr, 10, 4);
	partner(arr, 'i', 'f');
	exchange(arr, 5, 11);
	partner(arr, 'j', 'k');
	spin(arr, 15);
	exchange(arr, 12, 0);
	spin(arr, 4);
	partner(arr, 'd', 'b');
	exchange(arr, 3, 1);
	partner(arr, 'c', 'e');
	exchange(arr, 13, 8);
	spin(arr, 7);
	exchange(arr, 11, 1);
	spin(arr, 10);
	exchange(arr, 14, 0);
	partner(arr, 'h', 'k');
	spin(arr, 6);
	exchange(arr, 5, 11);
	spin(arr, 9);
	exchange(arr, 8, 14);
	spin(arr, 14);
	partner(arr, 'j', 'o');
	exchange(arr, 1, 13);
	partner(arr, 'a', 'k');
	exchange(arr, 6, 2);
	spin(arr, 2);
	exchange(arr, 10, 14);
	partner(arr, 'n', 'l');
	exchange(arr, 1, 6);
	spin(arr, 14);
	exchange(arr, 7, 3);
	spin(arr, 2);
	exchange(arr, 5, 2);
	partner(arr, 'i', 'o');
	exchange(arr, 4, 13);
	spin(arr, 15);
	exchange(arr, 10, 2);
	spin(arr, 13);
	partner(arr, 'c', 'n');
	exchange(arr, 5, 0);
	partner(arr, 'o', 'e');
	exchange(arr, 4, 2);
	partner(arr, 'c', 'd');
	exchange(arr, 14, 11);
	spin(arr, 4);
	exchange(arr, 5, 2);
	partner(arr, 'k', 'e');
	exchange(arr, 4, 13);
	spin(arr, 2);
	exchange(arr, 0, 1);
	partner(arr, 'g', 'd');
	exchange(arr, 12, 3);
	spin(arr, 7);
	exchange(arr, 6, 8);
	partner(arr, 'j', 'l');
	exchange(arr, 2, 10);
	spin(arr, 6);
	exchange(arr, 11, 14);
	partner(arr, 'm', 'p');
	exchange(arr, 5, 7);
	spin(arr, 3);
	exchange(arr, 11, 3);
	partner(arr, 'l', 'b');
	exchange(arr, 10, 7);
	spin(arr, 2);
	exchange(arr, 6, 5);
	partner(arr, 'a', 'p');
	exchange(arr, 15, 13);
	spin(arr, 7);
	exchange(arr, 2, 6);
	partner(arr, 'd', 'f');
	exchange(arr, 13, 9);
	spin(arr, 15);
	exchange(arr, 7, 5);
	partner(arr, 'j', 'i');
	exchange(arr, 13, 0);
	partner(arr, 'm', 'c');
	exchange(arr, 7, 6);
	partner(arr, 'f', 'e');
	exchange(arr, 2, 5);
	partner(arr, 'k', 'j');
	exchange(arr, 8, 11);
	partner(arr, 'b', 'f');
	exchange(arr, 10, 1);
	partner(arr, 'l', 'm');
	exchange(arr, 14, 5);
	partner(arr, 'g', 'c');
	exchange(arr, 0, 1);
	spin(arr, 5);
	exchange(arr, 8, 13);
	partner(arr, 'k', 'f');
	exchange(arr, 0, 7);
	spin(arr, 13);
	exchange(arr, 9, 13);
	spin(arr, 1);
	exchange(arr, 10, 14);
	partner(arr, 'n', 'c');
	exchange(arr, 13, 3);
	partner(arr, 'd', 'b');
	exchange(arr, 10, 8);
	partner(arr, 'p', 'j');
	exchange(arr, 15, 13);
	spin(arr, 7);
	exchange(arr, 5, 6);
	spin(arr, 6);
	exchange(arr, 11, 8);
	spin(arr, 2);
	partner(arr, 'm', 'o');
	spin(arr, 13);
	exchange(arr, 13, 14);
	partner(arr, 'd', 'h');
	exchange(arr, 3, 8);
	partner(arr, 'n', 'b');
	exchange(arr, 0, 12);
	spin(arr, 9);
	exchange(arr, 1, 8);
	spin(arr, 3);
	exchange(arr, 3, 2);
	spin(arr, 8);
	exchange(arr, 13, 1);
	spin(arr, 1);
	exchange(arr, 4, 15);
	partner(arr, 'o', 'a');
	exchange(arr, 6, 13);
	spin(arr, 1);
	exchange(arr, 12, 8);
	partner(arr, 'c', 'k');
	exchange(arr, 10, 0);
	partner(arr, 'a', 'p');
	spin(arr, 1);
	exchange(arr, 2, 6);
	partner(arr, 'c', 'b');
	exchange(arr, 11, 7);
	spin(arr, 10);
	partner(arr, 'l', 'p');
	exchange(arr, 1, 13);
	spin(arr, 9);
	exchange(arr, 15, 10);
	partner(arr, 'j', 'n');
	exchange(arr, 8, 12);
	partner(arr, 'd', 'b');
	exchange(arr, 5, 14);
	partner(arr, 'k', 'e');
	exchange(arr, 12, 2);
	partner(arr, 'p', 'h');
	exchange(arr, 4, 8);
	spin(arr, 10);
	exchange(arr, 0, 9);
	partner(arr, 'l', 'f');
	exchange(arr, 10, 14);
	spin(arr, 6);
	exchange(arr, 8, 6);
	partner(arr, 'k', 'h');
	exchange(arr, 13, 4);
	partner(arr, 'b', 'l');
	exchange(arr, 1, 5);
	spin(arr, 3);
	exchange(arr, 6, 8);
	spin(arr, 11);
	exchange(arr, 9, 7);
	partner(arr, 'k', 'g');
	exchange(arr, 15, 5);
	spin(arr, 2);
	exchange(arr, 11, 10);
	spin(arr, 2);
	exchange(arr, 0, 8);
	partner(arr, 'n', 'p');
	exchange(arr, 10, 11);
	spin(arr, 6);
	exchange(arr, 1, 5);
	spin(arr, 12);
	exchange(arr, 3, 0);
	partner(arr, 'k', 'd');
	exchange(arr, 11, 8);
	spin(arr, 2);
	exchange(arr, 15, 7);
	spin(arr, 15);
	partner(arr, 'f', 'b');
	exchange(arr, 4, 14);
	spin(arr, 5);
	exchange(arr, 10, 0);
	spin(arr, 11);
	exchange(arr, 3, 14);
	spin(arr, 10);
	exchange(arr, 7, 11);
	spin(arr, 4);
	exchange(arr, 15, 5);
	spin(arr, 3);
	exchange(arr, 3, 8);
	partner(arr, 'i', 'g');
	spin(arr, 6);
	exchange(arr, 2, 13);
	spin(arr, 2);
	exchange(arr, 3, 12);
	partner(arr, 'j', 'm');
	exchange(arr, 0, 5);
	spin(arr, 7);
	exchange(arr, 12, 1);
	spin(arr, 8);
	exchange(arr, 0, 2);
	spin(arr, 9);
	exchange(arr, 15, 6);
	partner(arr, 'd', 'h');
	exchange(arr, 9, 8);
	partner(arr, 'f', 'm');
	exchange(arr, 15, 6);
	partner(arr, 'a', 'o');
	exchange(arr, 13, 0);
	spin(arr, 10);
	exchange(arr, 1, 2);
	spin(arr, 10);
	exchange(arr, 7, 0);
	spin(arr, 9);
	partner(arr, 'p', 'e');
	exchange(arr, 13, 10);
	partner(arr, 'c', 'd');
	exchange(arr, 1, 6);
	spin(arr, 5);
	exchange(arr, 13, 3);
	partner(arr, 'e', 'h');
	exchange(arr, 14, 6);
	spin(arr, 14);
	exchange(arr, 0, 13);
	spin(arr, 5);
	exchange(arr, 9, 1);
	spin(arr, 3);
	exchange(arr, 4, 0);
	partner(arr, 'a', 'o');
	exchange(arr, 6, 7);
	spin(arr, 14);
	exchange(arr, 8, 14);
	spin(arr, 14);
	partner(arr, 'm', 'l');
	spin(arr, 5);
	exchange(arr, 15, 10);
	spin(arr, 7);
	exchange(arr, 2, 0);
	spin(arr, 12);
	exchange(arr, 3, 12);
	partner(arr, 'k', 'p');
	spin(arr, 8);
	exchange(arr, 6, 8);
	spin(arr, 14);
	exchange(arr, 1, 10);
	partner(arr, 'f', 'o');
	spin(arr, 11);
	exchange(arr, 0, 7);
	spin(arr, 13);
	exchange(arr, 3, 8);
	spin(arr, 10);
	exchange(arr, 9, 2);
	partner(arr, 'j', 'i');
	exchange(arr, 8, 15);
	spin(arr, 14);
	exchange(arr, 13, 5);
	spin(arr, 3);
	exchange(arr, 14, 11);
	partner(arr, 'p', 'm');
	exchange(arr, 1, 8);
	partner(arr, 'a', 'c');
	spin(arr, 7);
	exchange(arr, 11, 15);
	partner(arr, 'p', 'g');
	exchange(arr, 12, 6);
	partner(arr, 'o', 'k');
	exchange(arr, 7, 5);
	spin(arr, 5);
	partner(arr, 'p', 'f');
	exchange(arr, 15, 1);
	spin(arr, 3);
	exchange(arr, 7, 2);
	partner(arr, 'e', 'g');
	spin(arr, 14);
	exchange(arr, 15, 14);
	partner(arr, 'c', 'f');
	exchange(arr, 13, 11);
	partner(arr, 'k', 'i');
	spin(arr, 8);
	exchange(arr, 9, 0);
	spin(arr, 12);
	exchange(arr, 7, 12);
	partner(arr, 'n', 'l');
	exchange(arr, 5, 15);
	spin(arr, 1);
	exchange(arr, 9, 7);
	spin(arr, 10);
	exchange(arr, 5, 11);
	partner(arr, 'h', 'e');
	exchange(arr, 12, 3);
	spin(arr, 8);
	exchange(arr, 4, 2);
	partner(arr, 'f', 'i');
	spin(arr, 8);
	exchange(arr, 7, 15);
	spin(arr, 11);
	exchange(arr, 5, 0);
	partner(arr, 'p', 'm');
	exchange(arr, 14, 6);
	spin(arr, 3);
	exchange(arr, 15, 10);
	spin(arr, 3);
	exchange(arr, 1, 12);
	partner(arr, 'b', 'k');
	exchange(arr, 15, 11);
	partner(arr, 'i', 'd');
	exchange(arr, 3, 12);
	spin(arr, 10);
	partner(arr, 'j', 'p');
	exchange(arr, 15, 7);
	spin(arr, 3);
	exchange(arr, 5, 3);
	partner(arr, 'm', 'f');
	exchange(arr, 2, 8);
	spin(arr, 11);
	exchange(arr, 12, 1);
	spin(arr, 9);
	exchange(arr, 7, 15);
	partner(arr, 'i', 'd');
	exchange(arr, 1, 2);
	spin(arr, 14);
	exchange(arr, 6, 10);
	partner(arr, 'j', 'c');
	exchange(arr, 7, 11);
	spin(arr, 2);
	exchange(arr, 6, 9);
	partner(arr, 'p', 'm');
	exchange(arr, 8, 11);
	spin(arr, 2);
	exchange(arr, 1, 7);
	spin(arr, 3);
	exchange(arr, 14, 6);
	partner(arr, 'l', 'h');
	exchange(arr, 12, 4);
	partner(arr, 'g', 'f');
	exchange(arr, 0, 3);
	spin(arr, 12);
	exchange(arr, 14, 1);
	partner(arr, 'c', 'i');
	exchange(arr, 9, 4);
	partner(arr, 'b', 'k');
	exchange(arr, 0, 15);
	partner(arr, 'l', 'o');
	exchange(arr, 8, 2);
	spin(arr, 11);
	exchange(arr, 11, 4);
	partner(arr, 'b', 'm');
	spin(arr, 11);
	exchange(arr, 13, 7);
	spin(arr, 10);
	exchange(arr, 5, 10);
	spin(arr, 9);
	exchange(arr, 8, 15);
	partner(arr, 'd', 'j');
	spin(arr, 9);
	exchange(arr, 0, 9);
	partner(arr, 'f', 'l');
	exchange(arr, 4, 13);
	spin(arr, 13);
	exchange(arr, 5, 15);
	partner(arr, 'm', 'd');
	exchange(arr, 10, 13);
	partner(arr, 'b', 'n');
	exchange(arr, 6, 12);
	spin(arr, 15);
	exchange(arr, 4, 2);
	spin(arr, 8);
	exchange(arr, 6, 15);
	spin(arr, 12);
	exchange(arr, 9, 5);
	partner(arr, 'f', 'h');
	exchange(arr, 2, 14);
	spin(arr, 8);
	exchange(arr, 12, 0);
	spin(arr, 10);
	exchange(arr, 15, 6);
	spin(arr, 1);
	exchange(arr, 11, 13);
	partner(arr, 'k', 'n');
	exchange(arr, 9, 6);
	partner(arr, 'c', 'h');
	exchange(arr, 4, 2);
	spin(arr, 5);
	exchange(arr, 10, 14);
	spin(arr, 2);
	exchange(arr, 8, 4);
	partner(arr, 'j', 'm');
	exchange(arr, 11, 5);
	spin(arr, 14);
	exchange(arr, 15, 0);
	spin(arr, 7);
	partner(arr, 'l', 'b');
	exchange(arr, 8, 13);
	partner(arr, 'k', 'p');
	spin(arr, 4);
	exchange(arr, 9, 14);
	partner(arr, 'c', 'g');
	exchange(arr, 10, 6);
	partner(arr, 'm', 'p');
	spin(arr, 15);
	exchange(arr, 2, 0);
	spin(arr, 13);
	exchange(arr, 8, 10);
	partner(arr, 'a', 'g');
	exchange(arr, 0, 5);
	partner(arr, 'd', 'm');
	exchange(arr, 10, 6);
	spin(arr, 9);
	exchange(arr, 3, 12);
	spin(arr, 8);
	exchange(arr, 13, 4);
	partner(arr, 'c', 'a');
	exchange(arr, 10, 14);
	spin(arr, 11);
	partner(arr, 'b', 'h');
	exchange(arr, 1, 12);
	partner(arr, 'e', 'k');
	exchange(arr, 11, 10);
	spin(arr, 7);
	exchange(arr, 6, 0);
	partner(arr, 'd', 'b');
	exchange(arr, 5, 9);
	partner(arr, 'm', 'n');
	exchange(arr, 2, 7);
	spin(arr, 15);
	exchange(arr, 10, 0);
	spin(arr, 5);
	exchange(arr, 13, 2);
	partner(arr, 'o', 'i');
	exchange(arr, 4, 1);
	partner(arr, 'n', 'h');
	exchange(arr, 6, 14);
	spin(arr, 3);
	exchange(arr, 7, 4);
	spin(arr, 9);
	exchange(arr, 10, 13);
	spin(arr, 2);
	exchange(arr, 5, 7);
	spin(arr, 14);
	exchange(arr, 8, 12);
	partner(arr, 'i', 'g');
	exchange(arr, 6, 0);
	spin(arr, 15);
	exchange(arr, 11, 15);
	partner(arr, 'o', 'n');
	exchange(arr, 8, 4);
	partner(arr, 'a', 'p');
	exchange(arr, 12, 15);
	spin(arr, 10);
	exchange(arr, 13, 0);
	spin(arr, 9);
	exchange(arr, 11, 5);
	partner(arr, 'j', 'k');
	exchange(arr, 12, 3);
	partner(arr, 'c', 'f');
	exchange(arr, 9, 13);
	spin(arr, 15);
	exchange(arr, 1, 11);
	spin(arr, 1);
	exchange(arr, 15, 9);
	spin(arr, 15);
	exchange(arr, 14, 4);
	spin(arr, 12);
	exchange(arr, 12, 8);
	spin(arr, 7);
	exchange(arr, 14, 9);
	spin(arr, 1);
	exchange(arr, 8, 15);
	spin(arr, 14);
	exchange(arr, 11, 4);
	spin(arr, 10);
	exchange(arr, 8, 5);
	partner(arr, 'g', 'e');
	spin(arr, 9);
	exchange(arr, 4, 0);
	spin(arr, 1);
	exchange(arr, 5, 15);
	spin(arr, 6);
	exchange(arr, 12, 4);
	spin(arr, 4);
	exchange(arr, 0, 15);
	partner(arr, 'd', 'h');
	exchange(arr, 10, 7);
	spin(arr, 13);
	exchange(arr, 13, 5);
	partner(arr, 'p', 'n');
	exchange(arr, 8, 15);
	spin(arr, 15);
	exchange(arr, 4, 3);
	partner(arr, 'k', 'b');
	spin(arr, 9);
	exchange(arr, 11, 5);
	spin(arr, 10);
	exchange(arr, 6, 8);
	partner(arr, 'p', 'o');
	exchange(arr, 0, 2);
	partner(arr, 'n', 'j');
	exchange(arr, 11, 15);
	partner(arr, 'a', 'f');
	exchange(arr, 10, 14);
	spin(arr, 8);
	exchange(arr, 9, 12);
	partner(arr, 'h', 'l');
	exchange(arr, 0, 5);
	spin(arr, 6);
	exchange(arr, 14, 10);
	spin(arr, 6);
	exchange(arr, 7, 4);
	spin(arr, 9);
	exchange(arr, 15, 3);
	partner(arr, 'g', 'b');
	exchange(arr, 7, 6);
	spin(arr, 2);
	partner(arr, 'f', 'o');
	spin(arr, 4);
	exchange(arr, 1, 8);
	partner(arr, 'p', 'm');
	spin(arr, 5);
	exchange(arr, 0, 3);
	spin(arr, 9);
	exchange(arr, 9, 11);
	spin(arr, 3);
	partner(arr, 'i', 'l');
	spin(arr, 15);
	exchange(arr, 10, 13);
	spin(arr, 10);
	exchange(arr, 7, 2);
	partner(arr, 'm', 'd');
	exchange(arr, 10, 11);
	partner(arr, 'a', 'j');
	exchange(arr, 14, 7);
	spin(arr, 13);
	exchange(arr, 11, 4);
	partner(arr, 'p', 'f');
	exchange(arr, 10, 3);
	partner(arr, 'e', 'j');
	exchange(arr, 12, 1);
	partner(arr, 'h', 'c');
	exchange(arr, 14, 0);
	partner(arr, 'i', 'a');
	exchange(arr, 12, 8);
	partner(arr, 'f', 'm');
	exchange(arr, 9, 6);
	spin(arr, 1);
	exchange(arr, 8, 4);
	spin(arr, 11);
	exchange(arr, 10, 7);
	partner(arr, 'e', 'p');
	spin(arr, 5);
	partner(arr, 'l', 'h');
	exchange(arr, 8, 15);
	spin(arr, 11);
	exchange(arr, 14, 7);
	partner(arr, 'n', 'c');
	spin(arr, 12);
	exchange(arr, 12, 8);
	partner(arr, 'e', 'p');
	exchange(arr, 2, 4);
	spin(arr, 8);
	exchange(arr, 6, 8);
	partner(arr, 'j', 'g');
	exchange(arr, 4, 10);
	spin(arr, 1);
	exchange(arr, 9, 0);
	spin(arr, 5);
	exchange(arr, 10, 14);
	spin(arr, 14);
	exchange(arr, 9, 2);
	spin(arr, 2);
	exchange(arr, 6, 13);
	spin(arr, 2);
	exchange(arr, 12, 14);
	spin(arr, 4);
	partner(arr, 'c', 'p');
	spin(arr, 3);
	exchange(arr, 15, 5);
	spin(arr, 9);
	exchange(arr, 12, 3);
	spin(arr, 4);
	exchange(arr, 0, 5);
	partner(arr, 'l', 'n');
	exchange(arr, 4, 2);
	spin(arr, 2);
	exchange(arr, 14, 3);
	spin(arr, 3);
	exchange(arr, 11, 13);
	spin(arr, 15);
	exchange(arr, 7, 4);
	partner(arr, 'k', 'f');
	exchange(arr, 11, 1);
	spin(arr, 9);
	exchange(arr, 4, 3);
	spin(arr, 13);
	exchange(arr, 7, 9);
	partner(arr, 'g', 'h');
	exchange(arr, 8, 3);
	spin(arr, 14);
	exchange(arr, 10, 15);
	partner(arr, 'd', 'n');
	exchange(arr, 1, 11);
	partner(arr, 'b', 'o');
	exchange(arr, 10, 7);
	spin(arr, 14);
	exchange(arr, 8, 6);
	partner(arr, 'f', 'i');
	exchange(arr, 13, 4);
	spin(arr, 7);
	partner(arr, 'n', 'k');
	exchange(arr, 14, 3);
	spin(arr, 2);
	partner(arr, 'o', 'a');
	exchange(arr, 11, 7);
	spin(arr, 5);
	exchange(arr, 6, 13);
	partner(arr, 'g', 'f');
	exchange(arr, 4, 5);
	spin(arr, 12);
	exchange(arr, 11, 8);
	spin(arr, 12);
	exchange(arr, 6, 0);
	partner(arr, 'm', 'n');
	exchange(arr, 8, 10);
	partner(arr, 'h', 'i');
	exchange(arr, 15, 13);
	partner(arr, 'j', 'm');
	exchange(arr, 14, 2);
	partner(arr, 'a', 'h');
	exchange(arr, 9, 15);
	spin(arr, 6);
	exchange(arr, 2, 6);
	partner(arr, 'e', 'i');
	exchange(arr, 3, 7);
	partner(arr, 'h', 'p');
	exchange(arr, 13, 4);
	spin(arr, 9);
	exchange(arr, 5, 7);
	partner(arr, 'a', 'b');
	exchange(arr, 15, 13);
	spin(arr, 4);
	exchange(arr, 0, 12);
	spin(arr, 12);
	exchange(arr, 5, 4);
	partner(arr, 'f', 'e');
	exchange(arr, 8, 2);
	spin(arr, 3);
	exchange(arr, 4, 10);
	spin(arr, 7);
	exchange(arr, 11, 1);
	partner(arr, 'i', 'o');
	exchange(arr, 6, 3);
	spin(arr, 1);
	exchange(arr, 4, 9);
	spin(arr, 10);
	exchange(arr, 14, 8);
	spin(arr, 14);
	exchange(arr, 2, 5);
	spin(arr, 8);
	exchange(arr, 1, 12);
	partner(arr, 'd', 'a');
	exchange(arr, 13, 0);
	spin(arr, 3);
	exchange(arr, 3, 5);
	partner(arr, 'f', 'g');
	exchange(arr, 2, 1);
	spin(arr, 2);
	exchange(arr, 0, 4);
	partner(arr, 'o', 'e');
	exchange(arr, 3, 12);
	spin(arr, 14);
	exchange(arr, 5, 8);
	partner(arr, 'g', 'f');
	exchange(arr, 3, 15);
	spin(arr, 4);
	exchange(arr, 13, 1);
	partner(arr, 'l', 'd');
	spin(arr, 6);
	exchange(arr, 14, 11);
	spin(arr, 5);
	exchange(arr, 0, 10);
	partner(arr, 'h', 'b');
	exchange(arr, 8, 13);
	spin(arr, 7);
	partner(arr, 'l', 'm');
	exchange(arr, 5, 7);
	spin(arr, 14);
	exchange(arr, 11, 15);
	partner(arr, 'f', 'j');
	exchange(arr, 0, 5);
	spin(arr, 1);
	exchange(arr, 6, 1);
	spin(arr, 4);
	exchange(arr, 9, 8);
	partner(arr, 'g', 'l');
	exchange(arr, 7, 1);
	spin(arr, 3);
	exchange(arr, 4, 5);
	spin(arr, 12);
	exchange(arr, 12, 15);
	partner(arr, 'n', 'p');
	exchange(arr, 3, 2);
	partner(arr, 'j', 'd');
	exchange(arr, 9, 10);
	spin(arr, 10);
	exchange(arr, 5, 2);
	spin(arr, 12);
	exchange(arr, 3, 7);
	spin(arr, 4);
	exchange(arr, 8, 15);
	spin(arr, 9);
	partner(arr, 'k', 'h');
	exchange(arr, 1, 14);
	spin(arr, 3);
	exchange(arr, 8, 0);
	spin(arr, 9);
	exchange(arr, 3, 13);
	spin(arr, 14);
	exchange(arr, 2, 1);
	spin(arr, 4);
	exchange(arr, 7, 6);
	spin(arr, 4);
	exchange(arr, 12, 5);
	partner(arr, 'i', 'm');
	exchange(arr, 6, 13);
	partner(arr, 'h', 'n');
	exchange(arr, 9, 12);
	spin(arr, 15);
	exchange(arr, 3, 14);
	spin(arr, 11);
	exchange(arr, 0, 2);
	spin(arr, 8);
	exchange(arr, 5, 3);
	partner(arr, 'i', 'l');
	exchange(arr, 2, 8);
	partner(arr, 'e', 'p');
	exchange(arr, 5, 7);
	partner(arr, 'l', 'n');
	exchange(arr, 1, 11);
	partner(arr, 'm', 'k');
	exchange(arr, 15, 14);
	partner(arr, 'g', 'd');
	exchange(arr, 7, 4);
	spin(arr, 2);
	exchange(arr, 15, 8);
	partner(arr, 'o', 'p');
	exchange(arr, 6, 10);
	spin(arr, 9);
	exchange(arr, 8, 15);
	spin(arr, 4);
	exchange(arr, 1, 3);
	partner(arr, 'l', 'j');
	exchange(arr, 4, 0);
	spin(arr, 15);
	exchange(arr, 1, 3);
	partner(arr, 'e', 'n');
	exchange(arr, 4, 7);
	spin(arr, 7);
	exchange(arr, 11, 12);
	spin(arr, 9);
	exchange(arr, 13, 6);
	partner(arr, 'k', 'o');
	exchange(arr, 0, 11);
	spin(arr, 15);
	exchange(arr, 8, 15);
	spin(arr, 6);
	exchange(arr, 3, 4);
	spin(arr, 3);
	exchange(arr, 14, 1);
	spin(arr, 11);
	exchange(arr, 4, 11);
	spin(arr, 5);
	exchange(arr, 12, 14);
	spin(arr, 7);
	exchange(arr, 9, 5);
	spin(arr, 15);
	exchange(arr, 1, 6);
	spin(arr, 4);
	exchange(arr, 14, 3);
	spin(arr, 14);
	partner(arr, 'd', 'p');
	exchange(arr, 15, 9);
	partner(arr, 'o', 'm');
	exchange(arr, 7, 10);
	spin(arr, 3);
	exchange(arr, 4, 6);
	spin(arr, 11);
	exchange(arr, 7, 5);
	spin(arr, 10);
	exchange(arr, 2, 1);
	spin(arr, 6);
	exchange(arr, 6, 12);
	spin(arr, 11);
	exchange(arr, 5, 1);
	partner(arr, 'p', 'i');
	exchange(arr, 3, 9);
	spin(arr, 10);
	exchange(arr, 15, 1);
	spin(arr, 15);
	partner(arr, 'f', 'b');
	exchange(arr, 7, 11);
	partner(arr, 'i', 'p');
	exchange(arr, 10, 0);
	spin(arr, 8);
	exchange(arr, 4, 2);
	partner(arr, 'g', 'n');
	exchange(arr, 14, 15);
	partner(arr, 'a', 'j');
	exchange(arr, 8, 0);
	spin(arr, 7);
	partner(arr, 'b', 'g');
	exchange(arr, 11, 2);
	spin(arr, 9);
	exchange(arr, 4, 1);
	partner(arr, 'c', 'p');
	exchange(arr, 13, 14);
	spin(arr, 13);
	exchange(arr, 6, 1);
	spin(arr, 2);
	exchange(arr, 5, 12);
	spin(arr, 13);
	exchange(arr, 7, 9);
	spin(arr, 14);
	exchange(arr, 11, 1);
	spin(arr, 6);
	exchange(arr, 15, 4);
	spin(arr, 1);
	exchange(arr, 0, 8);
	spin(arr, 11);
	exchange(arr, 12, 9);
	spin(arr, 7);
	exchange(arr, 3, 0);
	spin(arr, 4);
	exchange(arr, 2, 9);
	spin(arr, 6);
	exchange(arr, 12, 8);
	spin(arr, 12);
	exchange(arr, 4, 13);
	spin(arr, 11);
	exchange(arr, 7, 15);
	partner(arr, 'n', 'b');
	exchange(arr, 8, 14);
	partner(arr, 'c', 'j');
	exchange(arr, 10, 2);
	spin(arr, 3);
	exchange(arr, 6, 13);
	spin(arr, 9);
	exchange(arr, 14, 5);
	spin(arr, 10);
	exchange(arr, 10, 2);
	spin(arr, 10);
	exchange(arr, 3, 15);
	spin(arr, 12);
	exchange(arr, 6, 5);
	spin(arr, 15);
	exchange(arr, 0, 7);
	spin(arr, 11);
	exchange(arr, 5, 15);
	spin(arr, 3);
	exchange(arr, 14, 9);
	spin(arr, 15);
	exchange(arr, 5, 2);
	spin(arr, 12);
	exchange(arr, 11, 10);
	spin(arr, 2);
	partner(arr, 'n', 'k');
	spin(arr, 12);
	exchange(arr, 9, 8);
	partner(arr, 'c', 'g');
	exchange(arr, 5, 15);
	spin(arr, 6);
	exchange(arr, 4, 7);
	spin(arr, 1);
	exchange(arr, 9, 10);
	spin(arr, 9);
	exchange(arr, 12, 0);
	spin(arr, 14);
	partner(arr, 'n', 'h');
	exchange(arr, 6, 1);
	partner(arr, 'b', 'm');
	exchange(arr, 3, 8);
	spin(arr, 11);
	exchange(arr, 0, 6);
	partner(arr, 'i', 'f');
	exchange(arr, 5, 2);
	partner(arr, 'd', 'h');
	exchange(arr, 0, 9);
	partner(arr, 'k', 'n');
	exchange(arr, 2, 12);
	spin(arr, 14);
	exchange(arr, 5, 10);
	partner(arr, 'd', 'a');
	exchange(arr, 4, 2);
	spin(arr, 5);
	exchange(arr, 6, 1);
	partner(arr, 'o', 'k');
	exchange(arr, 15, 7);
	partner(arr, 'a', 'h');
	exchange(arr, 8, 13);
	spin(arr, 15);
	exchange(arr, 12, 5);
	partner(arr, 'j', 'm');
	exchange(arr, 11, 1);
	partner(arr, 'n', 'i');
	exchange(arr, 14, 12);
	spin(arr, 1);
	exchange(arr, 3, 4);
	spin(arr, 10);
	partner(arr, 'd', 'c');
	exchange(arr, 8, 9);
	partner(arr, 'j', 'a');
	spin(arr, 15);
	exchange(arr, 4, 3);
	spin(arr, 11);
	exchange(arr, 7, 10);
	partner(arr, 'n', 'i');
	exchange(arr, 4, 12);
	spin(arr, 15);
	partner(arr, 'p', 'b');
	exchange(arr, 14, 0);
	spin(arr, 1);
	exchange(arr, 1, 4);
	spin(arr, 1);
	exchange(arr, 7, 2);
	partner(arr, 'f', 'l');
	spin(arr, 7);
	exchange(arr, 10, 14);
	spin(arr, 2);
	exchange(arr, 9, 6);
	partner(arr, 'j', 'c');
	exchange(arr, 0, 11);
	spin(arr, 12);
	exchange(arr, 7, 10);
	partner(arr, 'f', 'i');
	exchange(arr, 9, 12);
	spin(arr, 3);
	exchange(arr, 3, 2);
	spin(arr, 6);
	exchange(arr, 7, 11);
	spin(arr, 5);
	exchange(arr, 10, 13);
	spin(arr, 11);
	exchange(arr, 8, 12);
	partner(arr, 'c', 'd');
	exchange(arr, 5, 13);
	spin(arr, 4);
	exchange(arr, 11, 14);
	partner(arr, 'n', 'f');
	exchange(arr, 12, 3);
	spin(arr, 9);
	exchange(arr, 11, 9);
	spin(arr, 14);
	exchange(arr, 14, 3);
	partner(arr, 'a', 'c');
	exchange(arr, 4, 0);
	spin(arr, 1);
	exchange(arr, 12, 6);
	partner(arr, 'i', 'f');
	exchange(arr, 8, 9);
	spin(arr, 8);
	exchange(arr, 4, 6);
	partner(arr, 'm', 'p');
	exchange(arr, 1, 14);
	spin(arr, 13);
	exchange(arr, 4, 5);
	partner(arr, 'c', 'k');
	spin(arr, 12);
	exchange(arr, 13, 11);
	partner(arr, 'p', 'b');
	exchange(arr, 1, 4);
	spin(arr, 15);
	exchange(arr, 13, 0);
	spin(arr, 10);
	partner(arr, 'e', 'k');
	exchange(arr, 4, 9);
	spin(arr, 6);
	partner(arr, 'h', 'i');
	spin(arr, 8);
	exchange(arr, 7, 5);
	spin(arr, 15);
	exchange(arr, 4, 15);
	partner(arr, 'm', 'e');
	exchange(arr, 3, 7);
	spin(arr, 14);
	partner(arr, 'l', 'c');
	exchange(arr, 5, 6);
	spin(arr, 1);
	exchange(arr, 4, 3);
	partner(arr, 'i', 'b');
	spin(arr, 2);
	exchange(arr, 9, 5);
	spin(arr, 12);
	exchange(arr, 0, 10);
	partner(arr, 'l', 'h');
	exchange(arr, 12, 13);
	partner(arr, 'j', 'i');
	exchange(arr, 0, 15);
	spin(arr, 3);
	exchange(arr, 5, 13);
	spin(arr, 2);
	exchange(arr, 6, 12);
	partner(arr, 'f', 'h');
	exchange(arr, 7, 15);
	spin(arr, 3);
	exchange(arr, 10, 3);
	partner(arr, 'j', 'e');
	exchange(arr, 4, 1);
	spin(arr, 8);
	exchange(arr, 5, 13);
	partner(arr, 'k', 'm');
	exchange(arr, 10, 1);
	partner(arr, 'c', 'g');
	exchange(arr, 15, 12);
	spin(arr, 3);
	exchange(arr, 3, 7);
	partner(arr, 'b', 'd');
	exchange(arr, 6, 1);
	partner(arr, 'a', 'm');
	exchange(arr, 10, 0);
	partner(arr, 'g', 'f');
	exchange(arr, 14, 8);
	spin(arr, 11);
	exchange(arr, 3, 2);
	partner(arr, 'n', 'o');
	spin(arr, 9);
	exchange(arr, 7, 4);
	spin(arr, 9);
	exchange(arr, 15, 14);
	spin(arr, 3);
	exchange(arr, 3, 11);
	partner(arr, 'a', 'c');
	exchange(arr, 12, 0);
	spin(arr, 6);
	exchange(arr, 15, 13);
	spin(arr, 10);
	exchange(arr, 8, 7);
	partner(arr, 'g', 'e');
	exchange(arr, 0, 9);
	spin(arr, 10);
	exchange(arr, 14, 2);
	spin(arr, 6);
	exchange(arr, 6, 0);
	spin(arr, 3);
	exchange(arr, 1, 5);
	spin(arr, 12);
	exchange(arr, 8, 9);
	spin(arr, 7);
	exchange(arr, 3, 4);
	spin(arr, 1);
	exchange(arr, 13, 11);
	spin(arr, 10);
	exchange(arr, 8, 10);
	spin(arr, 15);
	exchange(arr, 4, 5);
	partner(arr, 'c', 'n');
	exchange(arr, 11, 10);
	spin(arr, 14);
	exchange(arr, 4, 2);
	partner(arr, 'h', 'b');
	exchange(arr, 0, 15);
	partner(arr, 'k', 'i');
	exchange(arr, 4, 1);
	spin(arr, 3);
	exchange(arr, 14, 2);
	spin(arr, 8);
	exchange(arr, 1, 8);
	partner(arr, 'o', 'b');
	exchange(arr, 15, 10);
	partner(arr, 'n', 'h');
	exchange(arr, 12, 4);
	partner(arr, 'k', 'g');
	exchange(arr, 1, 15);
	spin(arr, 12);
	exchange(arr, 11, 9);
	spin(arr, 10);
	exchange(arr, 1, 4);
	partner(arr, 'b', 'a');
	exchange(arr, 15, 3);
	spin(arr, 8);
	exchange(arr, 10, 11);
	partner(arr, 'n', 'i');
	exchange(arr, 1, 7);
	spin(arr, 2);
	exchange(arr, 2, 14);
	spin(arr, 14);
	exchange(arr, 7, 3);
	partner(arr, 'k', 'a');
	exchange(arr, 11, 12);
	spin(arr, 13);
	exchange(arr, 10, 1);
	partner(arr, 'c', 'l');
	exchange(arr, 14, 9);
	spin(arr, 5);
	exchange(arr, 15, 3);
	partner(arr, 'm', 'g');
	exchange(arr, 8, 2);
	spin(arr, 11);
	exchange(arr, 15, 3);
	spin(arr, 7);
	exchange(arr, 13, 10);
	partner(arr, 'f', 'o');
	exchange(arr, 8, 14);
	partner(arr, 'i', 'n');
	exchange(arr, 15, 12);
	spin(arr, 9);
	exchange(arr, 8, 10);
	spin(arr, 2);
	exchange(arr, 13, 3);
	spin(arr, 6);
	exchange(arr, 14, 4);
	spin(arr, 8);
	exchange(arr, 12, 13);
	partner(arr, 'd', 'l');
	exchange(arr, 11, 10);
	spin(arr, 8);
	exchange(arr, 8, 1);
	spin(arr, 4);
	exchange(arr, 13, 2);
	partner(arr, 'j', 'g');
	exchange(arr, 4, 11);
	spin(arr, 7);
	partner(arr, 'f', 'e');
	exchange(arr, 8, 9);
	spin(arr, 3);
	exchange(arr, 1, 14);
	spin(arr, 12);
	partner(arr, 'n', 'd');
	exchange(arr, 15, 6);
	spin(arr, 10);
	exchange(arr, 5, 13);
	spin(arr, 7);
	exchange(arr, 11, 7);
	spin(arr, 13);
	exchange(arr, 10, 5);
	spin(arr, 4);
	exchange(arr, 9, 4);
	partner(arr, 'b', 'p');
	exchange(arr, 14, 0);
	partner(arr, 'h', 'f');
	exchange(arr, 11, 6);
	spin(arr, 1);
	exchange(arr, 0, 15);
	spin(arr, 9);
	exchange(arr, 11, 9);
	spin(arr, 9);
	exchange(arr, 3, 1);
	spin(arr, 9);
	exchange(arr, 11, 9);
	partner(arr, 'l', 'j');
	exchange(arr, 5, 14);
	partner(arr, 'c', 'm');
	exchange(arr, 10, 9);
	partner(arr, 'i', 'h');
	exchange(arr, 13, 3);
	spin(arr, 7);
	partner(arr, 'f', 'p');
	exchange(arr, 15, 0);
	partner(arr, 'a', 'i');
	spin(arr, 1);
	exchange(arr, 11, 4);
	partner(arr, 'h', 'f');
	exchange(arr, 0, 1);
	spin(arr, 14);
	partner(arr, 'l', 'j');
	exchange(arr, 4, 10);
	spin(arr, 1);
	exchange(arr, 6, 15);
	spin(arr, 4);
	exchange(arr, 4, 11);
	spin(arr, 2);
	exchange(arr, 5, 1);
	spin(arr, 14);
	exchange(arr, 14, 2);
	spin(arr, 9);
	exchange(arr, 4, 9);
	partner(arr, 'k', 'g');
	exchange(arr, 15, 0);
	partner(arr, 'c', 'o');
	exchange(arr, 1, 5);
	spin(arr, 12);
	partner(arr, 'a', 'g');
	exchange(arr, 12, 4);
	partner(arr, 'k', 'j');
	exchange(arr, 6, 3);
	partner(arr, 'o', 'b');
	exchange(arr, 2, 5);
	spin(arr, 13);
	exchange(arr, 6, 8);
	spin(arr, 6);
	exchange(arr, 13, 5);
	partner(arr, 'e', 'j');
	exchange(arr, 11, 7);
	spin(arr, 12);
	exchange(arr, 1, 8);
	partner(arr, 'b', 'k');
	exchange(arr, 5, 12);
	spin(arr, 1);
	exchange(arr, 14, 1);
	partner(arr, 'n', 'p');
	exchange(arr, 13, 10);
	spin(arr, 13);
	exchange(arr, 11, 5);
	spin(arr, 5);
	partner(arr, 'b', 'i');
	spin(arr, 13);
	exchange(arr, 2, 0);
	partner(arr, 'j', 'k');
	exchange(arr, 15, 4);
	spin(arr, 9);
	exchange(arr, 7, 2);
	partner(arr, 'd', 'p');
	exchange(arr, 4, 3);
	partner(arr, 'n', 'h');
	exchange(arr, 9, 13);
	partner(arr, 'e', 'i');
	exchange(arr, 10, 2);
	partner(arr, 'o', 'b');
	spin(arr, 10);
	exchange(arr, 9, 12);
	partner(arr, 'f', 'e');
	exchange(arr, 11, 10);
	partner(arr, 'l', 'c');
	exchange(arr, 3, 4);
	spin(arr, 11);
	exchange(arr, 9, 14);
	spin(arr, 10);
	exchange(arr, 1, 2);
	spin(arr, 3);
	exchange(arr, 13, 14);
	partner(arr, 'i', 'p');
	exchange(arr, 3, 0);
	spin(arr, 1);
	exchange(arr, 11, 2);
	spin(arr, 7);
	exchange(arr, 12, 8);
	spin(arr, 8);
	exchange(arr, 5, 9);
	partner(arr, 'g', 'c');
	exchange(arr, 14, 15);
	spin(arr, 3);
	partner(arr, 'j', 'n');
	spin(arr, 2);
	exchange(arr, 6, 1);
	partner(arr, 'a', 'f');
	exchange(arr, 2, 0);
	spin(arr, 8);
	exchange(arr, 14, 4);
	partner(arr, 'k', 'j');
	exchange(arr, 12, 13);
	partner(arr, 'p', 'a');
	spin(arr, 7);
	exchange(arr, 1, 7);
	partner(arr, 'f', 'n');
	exchange(arr, 5, 3);
	spin(arr, 1);
	partner(arr, 'k', 'h');
	exchange(arr, 15, 9);
	partner(arr, 'e', 'n');
	exchange(arr, 3, 4);
	spin(arr, 11);
	exchange(arr, 13, 8);
	partner(arr, 'i', 'k');
	exchange(arr, 0, 15);
	partner(arr, 'h', 'a');
	exchange(arr, 5, 13);
	spin(arr, 9);
	exchange(arr, 14, 3);
	spin(arr, 5);
	exchange(arr, 15, 2);
	partner(arr, 'c', 'g');
	spin(arr, 15);
	exchange(arr, 4, 10);
	spin(arr, 9);
	exchange(arr, 8, 13);
	spin(arr, 7);
	exchange(arr, 2, 15);
	spin(arr, 14);
	exchange(arr, 10, 4);
	partner(arr, 'd', 'i');
	spin(arr, 4);
	exchange(arr, 9, 3);
	partner(arr, 'l', 'b');
	exchange(arr, 13, 10);
	partner(arr, 'c', 'a');
	exchange(arr, 14, 3);
	spin(arr, 8);
	exchange(arr, 8, 5);
	partner(arr, 'o', 'k');
	exchange(arr, 3, 15);
	partner(arr, 'l', 'c');
	spin(arr, 15);
	exchange(arr, 13, 14);
	partner(arr, 'a', 'b');
	exchange(arr, 10, 3);
	spin(arr, 12);
	exchange(arr, 13, 12);
	partner(arr, 'p', 'l');
	exchange(arr, 2, 14);
	spin(arr, 7);
	exchange(arr, 6, 5);
	spin(arr, 6);
	exchange(arr, 4, 15);
	spin(arr, 9);
	exchange(arr, 13, 7);
	spin(arr, 13);
	exchange(arr, 0, 5);
	spin(arr, 13);
	exchange(arr, 11, 10);
	spin(arr, 2);
	exchange(arr, 15, 8);
	spin(arr, 8);
	exchange(arr, 11, 14);
	spin(arr, 6);
	partner(arr, 'k', 'h');
	exchange(arr, 10, 12);
	spin(arr, 4);
	exchange(arr, 2, 4);
	spin(arr, 10);
	exchange(arr, 10, 8);
	partner(arr, 'p', 'o');
	exchange(arr, 15, 12);
	spin(arr, 7);
	exchange(arr, 2, 7);
	spin(arr, 12);
	exchange(arr, 11, 12);
	spin(arr, 9);
	partner(arr, 'l', 'j');
	spin(arr, 13);
	exchange(arr, 15, 0);
	spin(arr, 12);
	exchange(arr, 7, 9);
	spin(arr, 10);
	exchange(arr, 10, 8);
	spin(arr, 7);
	exchange(arr, 3, 15);
	partner(arr, 'o', 'p');
	exchange(arr, 0, 4);
	spin(arr, 3);
	exchange(arr, 5, 3);
	partner(arr, 'i', 'm');
	spin(arr, 13);
	exchange(arr, 14, 15);
	spin(arr, 14);
	exchange(arr, 1, 11);
	spin(arr, 15);
	exchange(arr, 5, 10);
	spin(arr, 14);
	exchange(arr, 6, 12);
	spin(arr, 6);
	exchange(arr, 10, 13);
	spin(arr, 2);
	partner(arr, 'p', 'b');
	exchange(arr, 14, 7);
	partner(arr, 'f', 'm');
	exchange(arr, 13, 6);
	spin(arr, 14);
	exchange(arr, 14, 15);
	spin(arr, 10);
	exchange(arr, 4, 2);
	spin(arr, 2);
	exchange(arr, 15, 12);
	spin(arr, 9);
	exchange(arr, 4, 11);
	partner(arr, 'j', 'b');
	exchange(arr, 13, 2);
	partner(arr, 'm', 'n');
	exchange(arr, 1, 4);
	spin(arr, 6);
	exchange(arr, 9, 0);
	spin(arr, 3);
	exchange(arr, 10, 7);
	spin(arr, 14);
	exchange(arr, 1, 3);
	spin(arr, 6);
	exchange(arr, 4, 12);
	spin(arr, 13);
	exchange(arr, 13, 9);
	partner(arr, 'e', 'h');
	exchange(arr, 6, 2);
	spin(arr, 14);
	partner(arr, 'a', 'b');
	exchange(arr, 13, 11);
	partner(arr, 'p', 'm');
	exchange(arr, 2, 15);
	spin(arr, 11);
	partner(arr, 'b', 'j');
	exchange(arr, 8, 3);
	spin(arr, 9);
	exchange(arr, 0, 1);
	partner(arr, 'm', 'l');
	spin(arr, 9);
	exchange(arr, 2, 6);
	spin(arr, 5);
	exchange(arr, 0, 7);
	spin(arr, 3);
	exchange(arr, 5, 1);
	spin(arr, 12);
	exchange(arr, 8, 10);
	spin(arr, 13);
	partner(arr, 'o', 'n');
	exchange(arr, 2, 5);
	partner(arr, 'b', 'f');
	exchange(arr, 8, 6);
	partner(arr, 'm', 'h');
	exchange(arr, 12, 3);
	partner(arr, 'l', 'k');
	exchange(arr, 10, 0);
	partner(arr, 'j', 'n');
	exchange(arr, 5, 12);
	spin(arr, 10);
	exchange(arr, 2, 9);
	partner(arr, 'c', 'a');
	exchange(arr, 12, 1);
	partner(arr, 'b', 'i');
	exchange(arr, 7, 5);
	partner(arr, 'c', 'a');
	exchange(arr, 4, 11);
	partner(arr, 'f', 'e');
	exchange(arr, 12, 9);
	partner(arr, 'b', 'd');
	exchange(arr, 2, 3);
	partner(arr, 'p', 'o');
	exchange(arr, 1, 15);
	spin(arr, 4);
	exchange(arr, 13, 9);
	spin(arr, 5);
	exchange(arr, 5, 12);
	partner(arr, 'g', 'd');
	exchange(arr, 15, 4);
	spin(arr, 15);
	exchange(arr, 5, 9);
	partner(arr, 'k', 'c');
	exchange(arr, 12, 1);
	partner(arr, 'm', 'l');
	exchange(arr, 8, 10);
	spin(arr, 12);
	partner(arr, 'j', 'e');
	spin(arr, 13);
	exchange(arr, 13, 12);
	spin(arr, 14);
	exchange(arr, 5, 8);
	spin(arr, 2);
	exchange(arr, 2, 6);
	spin(arr, 6);
	partner(arr, 'd', 'i');
	exchange(arr, 9, 8);
	spin(arr, 2);
	exchange(arr, 11, 10);
	spin(arr, 4);
	exchange(arr, 13, 15);
	partner(arr, 'm', 'j');
	spin(arr, 10);
	exchange(arr, 7, 6);
	spin(arr, 10);
	exchange(arr, 4, 9);
	spin(arr, 2);
	partner(arr, 'a', 'l');
	exchange(arr, 13, 6);
	spin(arr, 11);
	exchange(arr, 4, 15);
	spin(arr, 7);
	exchange(arr, 6, 12);
	spin(arr, 3);
	exchange(arr, 0, 5);
	spin(arr, 12);
	exchange(arr, 9, 12);
	partner(arr, 'n', 'c');
	spin(arr, 12);
	partner(arr, 'k', 'h');
	exchange(arr, 13, 15);
	spin(arr, 2);
	exchange(arr, 11, 3);
	partner(arr, 'l', 'e');
	exchange(arr, 0, 7);
	partner(arr, 'i', 'm');
	exchange(arr, 11, 2);
	spin(arr, 7);
	exchange(arr, 3, 1);
	spin(arr, 5);
	exchange(arr, 15, 4);
	spin(arr, 13);
	exchange(arr, 0, 10);
	spin(arr, 8);
	exchange(arr, 12, 3);
	spin(arr, 2);
	exchange(arr, 5, 4);
	spin(arr, 15);
	exchange(arr, 9, 1);
	partner(arr, 'n', 'd');
	exchange(arr, 2, 14);
	spin(arr, 14);
	exchange(arr, 13, 12);
	spin(arr, 14);
	exchange(arr, 5, 4);
	partner(arr, 'p', 'j');
	spin(arr, 9);
	exchange(arr, 10, 7);
	spin(arr, 14);
	exchange(arr, 4, 3);
	spin(arr, 4);
	exchange(arr, 11, 5);
	spin(arr, 6);
	exchange(arr, 14, 3);
	spin(arr, 11);
	exchange(arr, 15, 11);
	partner(arr, 'd', 'i');
	spin(arr, 1);
	exchange(arr, 4, 6);
	spin(arr, 6);
	exchange(arr, 11, 0);
	partner(arr, 'p', 'm');
	exchange(arr, 8, 12);
	spin(arr, 2);
	exchange(arr, 6, 9);
	spin(arr, 7);
	exchange(arr, 12, 1);
	spin(arr, 1);
	exchange(arr, 0, 6);
	partner(arr, 'c', 'f');
	exchange(arr, 14, 8);
	spin(arr, 9);
	exchange(arr, 9, 2);
	partner(arr, 'm', 'i');
	spin(arr, 15);
	exchange(arr, 10, 15);
	spin(arr, 12);
	exchange(arr, 1, 8);
	partner(arr, 'n', 'o');
	exchange(arr, 9, 14);
	spin(arr, 13);
	exchange(arr, 10, 12);
	spin(arr, 5);
	exchange(arr, 7, 3);
	partner(arr, 'i', 'd');
	spin(arr, 4);
	exchange(arr, 1, 8);
	partner(arr, 'n', 'f');
	exchange(arr, 10, 4);
	partner(arr, 'p', 'e');
	exchange(arr, 2, 14);
	spin(arr, 11);
	exchange(arr, 5, 15);
	partner(arr, 'h', 'j');
	exchange(arr, 9, 4);
	spin(arr, 15);
	exchange(arr, 5, 10);
	spin(arr, 7);
	exchange(arr, 4, 6);
	spin(arr, 7);
	exchange(arr, 7, 1);
	partner(arr, 'k', 'm');
	exchange(arr, 3, 5);
	partner(arr, 'g', 'i');
	exchange(arr, 8, 13);
	spin(arr, 9);
	exchange(arr, 1, 14);
	spin(arr, 14);
	exchange(arr, 7, 13);
	spin(arr, 9);
	exchange(arr, 11, 3);
	spin(arr, 2);
	exchange(arr, 7, 10);
	spin(arr, 12);
	exchange(arr, 5, 0);
	partner(arr, 'm', 'o');
	exchange(arr, 11, 6);
	spin(arr, 3);
	exchange(arr, 3, 7);
	spin(arr, 9);
	exchange(arr, 15, 4);
	spin(arr, 12);
	exchange(arr, 9, 1);
	partner(arr, 'i', 'l');
	exchange(arr, 3, 13);
	spin(arr, 7);
	exchange(arr, 7, 5);
	spin(arr, 10);
	exchange(arr, 3, 1);
	spin(arr, 9);
	exchange(arr, 4, 10);
	spin(arr, 8);
	exchange(arr, 11, 2);
	partner(arr, 'g', 'd');
	exchange(arr, 14, 13);
	spin(arr, 10);
	exchange(arr, 0, 12);
	spin(arr, 6);
	exchange(arr, 11, 13);
	spin(arr, 9);
	exchange(arr, 4, 15);
	spin(arr, 2);
	exchange(arr, 8, 11);
	spin(arr, 12);
	exchange(arr, 10, 4);
	spin(arr, 14);
	exchange(arr, 3, 5);
	partner(arr, 'i', 'j');
	exchange(arr, 0, 11);
	spin(arr, 14);
	exchange(arr, 7, 10);
	partner(arr, 'f', 'n');
	exchange(arr, 15, 12);
	partner(arr, 'e', 'j');
	exchange(arr, 4, 13);
	partner(arr, 'l', 'a');
	exchange(arr, 5, 3);
	partner(arr, 'd', 'f');
	exchange(arr, 1, 9);
	spin(arr, 1);
	exchange(arr, 7, 2);
	spin(arr, 14);
	exchange(arr, 10, 3);
	partner(arr, 'o', 'a');
	exchange(arr, 14, 15);
	partner(arr, 'm', 'e');
	exchange(arr, 1, 9);
	spin(arr, 10);
	exchange(arr, 10, 12);
	partner(arr, 'i', 'p');
	spin(arr, 7);
	exchange(arr, 8, 0);
	spin(arr, 7);
	exchange(arr, 5, 12);
	partner(arr, 'a', 'k');
	spin(arr, 5);
	exchange(arr, 9, 6);
	spin(arr, 7);
	exchange(arr, 15, 3);
	partner(arr, 'h', 'd');
	exchange(arr, 9, 12);
	partner(arr, 'i', 'l');
	exchange(arr, 10, 15);
	spin(arr, 10);
	exchange(arr, 8, 7);
	partner(arr, 'c', 'b');
	exchange(arr, 1, 9);
	spin(arr, 4);
	exchange(arr, 13, 15);
	spin(arr, 11);
	exchange(arr, 3, 2);
	partner(arr, 'k', 'l');
	exchange(arr, 7, 15);
	spin(arr, 11);
	exchange(arr, 6, 10);
	spin(arr, 13);
	exchange(arr, 5, 7);
	spin(arr, 3);
	partner(arr, 'd', 'i');
	exchange(arr, 3, 2);
	partner(arr, 'm', 'e');
	exchange(arr, 7, 1);
	partner(arr, 'g', 'k');
	exchange(arr, 6, 0);
	spin(arr, 12);
	exchange(arr, 14, 10);
	spin(arr, 2);
	exchange(arr, 6, 11);
	spin(arr, 2);
	partner(arr, 'p', 'l');
	exchange(arr, 13, 0);
	spin(arr, 13);
	exchange(arr, 8, 11);
	spin(arr, 7);
	exchange(arr, 1, 15);
	partner(arr, 'g', 'i');
	exchange(arr, 3, 6);
	spin(arr, 11);
	exchange(arr, 4, 8);
	partner(arr, 'b', 'a');
	exchange(arr, 10, 7);
	partner(arr, 'g', 'n');
	exchange(arr, 12, 1);
	spin(arr, 1);
	exchange(arr, 15, 11);
	partner(arr, 'i', 'l');
	exchange(arr, 9, 6);
	partner(arr, 'f', 'o');
	exchange(arr, 3, 1);
	spin(arr, 15);
	exchange(arr, 13, 8);
	spin(arr, 5);
	exchange(arr, 3, 15);
	spin(arr, 10);
	exchange(arr, 4, 13);
	spin(arr, 3);
	exchange(arr, 1, 8);
	partner(arr, 'k', 'd');
	exchange(arr, 6, 13);
	partner(arr, 'g', 'j');
	exchange(arr, 15, 8);
	spin(arr, 14);
	exchange(arr, 7, 14);
	spin(arr, 11);
	exchange(arr, 15, 13);
	partner(arr, 'h', 'f');
	exchange(arr, 11, 4);
	spin(arr, 8);
	exchange(arr, 8, 6);
	spin(arr, 6);
	exchange(arr, 13, 3);
	partner(arr, 'm', 'i');
	exchange(arr, 6, 14);
	spin(arr, 7);
	exchange(arr, 10, 4);
	spin(arr, 7);
	exchange(arr, 7, 12);
	partner(arr, 'l', 'b');
	exchange(arr, 4, 13);
	spin(arr, 12);
	exchange(arr, 5, 1);
	spin(arr, 9);
	exchange(arr, 14, 11);
	spin(arr, 5);
	partner(arr, 'a', 'e');
	exchange(arr, 13, 12);
	spin(arr, 13);
	exchange(arr, 2, 8);
	partner(arr, 'g', 'i');
	exchange(arr, 15, 14);
	partner(arr, 'm', 'j');
	exchange(arr, 12, 7);
	spin(arr, 9);
	exchange(arr, 1, 6);
	spin(arr, 8);
	exchange(arr, 10, 7);
	spin(arr, 11);
	exchange(arr, 0, 3);
	partner(arr, 'p', 'a');
	exchange(arr, 8, 12);
	spin(arr, 14);
	exchange(arr, 6, 10);
	spin(arr, 14);
	partner(arr, 'k', 'g');
	spin(arr, 9);
	exchange(arr, 13, 1);
	spin(arr, 1);
	exchange(arr, 6, 0);
	spin(arr, 6);
	exchange(arr, 3, 12);
	partner(arr, 'c', 'j');
	exchange(arr, 9, 7);
	spin(arr, 13);
	partner(arr, 'g', 'e');
	exchange(arr, 15, 3);
	spin(arr, 3);
	exchange(arr, 8, 11);
	partner(arr, 'c', 'i');
	exchange(arr, 0, 2);
	partner(arr, 'n', 'k');
	exchange(arr, 5, 7);
	partner(arr, 'i', 'd');
	exchange(arr, 15, 8);
	spin(arr, 1);
	exchange(arr, 10, 6);
	partner(arr, 'n', 'o');
	exchange(arr, 1, 3);
	spin(arr, 6);
	exchange(arr, 7, 10);
	partner(arr, 'i', 'a');
	exchange(arr, 3, 9);
	spin(arr, 9);
	exchange(arr, 14, 5);
	spin(arr, 10);
	partner(arr, 'o', 'j');
	exchange(arr, 9, 15);
	spin(arr, 7);
	exchange(arr, 3, 11);
	partner(arr, 'a', 'g');
	exchange(arr, 8, 2);
	spin(arr, 7);
	exchange(arr, 11, 7);
	partner(arr, 'c', 'f');
	exchange(arr, 13, 8);
	spin(arr, 6);
	exchange(arr, 5, 11);
	partner(arr, 'p', 'h');
	exchange(arr, 14, 7);
	spin(arr, 12);
	exchange(arr, 1, 11);
	partner(arr, 'a', 'c');
	exchange(arr, 15, 10);
	spin(arr, 5);
	exchange(arr, 14, 7);
	spin(arr, 14);
	exchange(arr, 5, 6);
	partner(arr, 'p', 'k');
	exchange(arr, 0, 1);
	spin(arr, 7);
	exchange(arr, 12, 6);
	spin(arr, 13);
	exchange(arr, 10, 2);
	partner(arr, 'a', 'm');
	exchange(arr, 12, 0);
	partner(arr, 'd', 'h');
	exchange(arr, 1, 2);
	partner(arr, 'n', 'e');
	exchange(arr, 9, 10);
	partner(arr, 'f', 'l');
	spin(arr, 1);
	exchange(arr, 12, 1);
	partner(arr, 'k', 'h');
	spin(arr, 5);
	exchange(arr, 9, 14);
	spin(arr, 14);
	exchange(arr, 6, 12);
	partner(arr, 'o', 'e');
	exchange(arr, 3, 5);
	spin(arr, 15);
	exchange(arr, 15, 12);
	spin(arr, 12);
	exchange(arr, 2, 10);
	partner(arr, 'l', 'j');
	exchange(arr, 11, 5);
	spin(arr, 9);
	exchange(arr, 12, 14);
	partner(arr, 'c', 'i');
	exchange(arr, 6, 9);
	partner(arr, 'm', 'l');
	exchange(arr, 12, 2);
	partner(arr, 'b', 'g');
	exchange(arr, 3, 8);
	partner(arr, 'e', 'm');
	spin(arr, 2);
	exchange(arr, 9, 12);
	partner(arr, 'j', 'n');
	exchange(arr, 7, 14);
	spin(arr, 6);
	exchange(arr, 0, 13);
	spin(arr, 13);
	exchange(arr, 5, 11);
	spin(arr, 9);
	exchange(arr, 2, 1);
	spin(arr, 5);
	exchange(arr, 7, 13);
	spin(arr, 8);
	exchange(arr, 12, 5);
	partner(arr, 'd', 'b');
	exchange(arr, 6, 0);
	spin(arr, 13);
	exchange(arr, 9, 12);
	spin(arr, 15);
	exchange(arr, 15, 3);
	spin(arr, 7);
	exchange(arr, 2, 1);
	partner(arr, 'c', 'm');
	exchange(arr, 11, 4);
	spin(arr, 9);
	exchange(arr, 3, 2);
	spin(arr, 3);
	exchange(arr, 0, 12);
	spin(arr, 3);
	exchange(arr, 5, 10);
	spin(arr, 6);
	exchange(arr, 9, 1);
	partner(arr, 'h', 'n');
	exchange(arr, 3, 8);
	partner(arr, 'c', 'g');
	exchange(arr, 0, 5);
	partner(arr, 'e', 'b');
	exchange(arr, 3, 2);
	spin(arr, 15);
	exchange(arr, 6, 8);
	spin(arr, 14);
	exchange(arr, 0, 11);
	partner(arr, 'm', 'p');
	spin(arr, 13);
	exchange(arr, 9, 10);
	spin(arr, 10);
	exchange(arr, 12, 13);
	spin(arr, 5);
	exchange(arr, 3, 0);
	spin(arr, 1);
	exchange(arr, 1, 9);
	partner(arr, 'g', 'n');
	exchange(arr, 2, 6);
	spin(arr, 6);
	exchange(arr, 7, 0);
	spin(arr, 2);
	exchange(arr, 2, 11);
	spin(arr, 3);
	exchange(arr, 3, 14);
	spin(arr, 14);
	exchange(arr, 12, 2);
	spin(arr, 11);
	exchange(arr, 1, 6);
	partner(arr, 'k', 'h');
	exchange(arr, 11, 14);
	partner(arr, 'g', 'p');
	exchange(arr, 0, 7);
	partner(arr, 'n', 'd');
	exchange(arr, 13, 4);
	spin(arr, 12);
	partner(arr, 'k', 'a');
	exchange(arr, 14, 3);
	spin(arr, 9);
	exchange(arr, 9, 1);
	spin(arr, 2);
	exchange(arr, 4, 0);
	spin(arr, 8);
	exchange(arr, 11, 13);
	partner(arr, 'i', 'n');
	exchange(arr, 12, 3);
	spin(arr, 11);
	exchange(arr, 11, 2);
	partner(arr, 'p', 'f');
	exchange(arr, 13, 10);
	spin(arr, 10);
	exchange(arr, 9, 15);
	partner(arr, 'h', 'g');
	spin(arr, 4);
	exchange(arr, 13, 12);
	partner(arr, 'i', 'd');
	spin(arr, 1);
	exchange(arr, 6, 10);
	spin(arr, 3);
	exchange(arr, 9, 12);
	spin(arr, 3);
	exchange(arr, 14, 2);
	partner(arr, 'l', 'g');
	exchange(arr, 6, 15);
	spin(arr, 7);
	partner(arr, 'i', 'n');
	exchange(arr, 2, 8);
	spin(arr, 4);
	exchange(arr, 3, 0);
	partner(arr, 'j', 'e');
	exchange(arr, 13, 9);
	spin(arr, 1);
	exchange(arr, 14, 0);
	spin(arr, 9);
	exchange(arr, 13, 6);
	spin(arr, 2);
	exchange(arr, 10, 2);
	spin(arr, 15);
	exchange(arr, 14, 5);
	spin(arr, 8);
	exchange(arr, 9, 12);
	spin(arr, 7);
	exchange(arr, 1, 4);
	partner(arr, 'a', 'k');
	exchange(arr, 14, 9);
	partner(arr, 'i', 'd');
	exchange(arr, 11, 4);
	partner(arr, 'o', 'f');
	exchange(arr, 15, 7);
	spin(arr, 9);
	exchange(arr, 5, 6);
	partner(arr, 'd', 'e');
	exchange(arr, 12, 8);
	spin(arr, 8);
	exchange(arr, 0, 5);
	partner(arr, 'f', 'n');
	exchange(arr, 2, 9);
	spin(arr, 12);
	exchange(arr, 5, 0);
	partner(arr, 'e', 'k');
	spin(arr, 15);
	exchange(arr, 14, 2);
	spin(arr, 1);
	exchange(arr, 13, 7);
	spin(arr, 13);
	exchange(arr, 8, 12);
	spin(arr, 4);
	exchange(arr, 9, 7);
	spin(arr, 11);
	exchange(arr, 2, 13);
	spin(arr, 15);
	exchange(arr, 0, 11);
	spin(arr, 7);
	exchange(arr, 7, 4);
	partner(arr, 'j', 'a');
	exchange(arr, 5, 15);
	spin(arr, 13);
	partner(arr, 'o', 'l');
	exchange(arr, 0, 6);
	partner(arr, 'a', 'g');
	exchange(arr, 8, 1);
	spin(arr, 15);
	exchange(arr, 5, 11);
	spin(arr, 10);
	exchange(arr, 0, 1);
	spin(arr, 2);
	exchange(arr, 12, 6);
	partner(arr, 'e', 'f');
	exchange(arr, 0, 5);
	spin(arr, 11);
	exchange(arr, 12, 3);
	spin(arr, 5);
	exchange(arr, 8, 1);
	spin(arr, 10);
	exchange(arr, 12, 14);
	spin(arr, 10);
	exchange(arr, 4, 13);
	partner(arr, 'g', 'a');
	exchange(arr, 14, 3);
	spin(arr, 7);
	exchange(arr, 13, 15);
	spin(arr, 11);
	exchange(arr, 12, 7);
	spin(arr, 3);
	partner(arr, 'o', 'f');
	exchange(arr, 9, 6);
	spin(arr, 8);
	exchange(arr, 7, 1);
	partner(arr, 'n', 'c');
	spin(arr, 7);
	exchange(arr, 11, 4);
	spin(arr, 5);
	exchange(arr, 14, 7);
	spin(arr, 7);
	exchange(arr, 12, 8);
	spin(arr, 11);
	exchange(arr, 11, 10);
	spin(arr, 4);
	exchange(arr, 12, 0);
	spin(arr, 10);
	partner(arr, 'o', 'e');
	spin(arr, 12);
	exchange(arr, 13, 2);
	spin(arr, 15);
	exchange(arr, 5, 4);
	partner(arr, 'j', 'm');
	exchange(arr, 1, 14);
	spin(arr, 15);
	exchange(arr, 0, 10);
	partner(arr, 'i', 'p');
	exchange(arr, 9, 7);
	partner(arr, 'b', 'f');
	exchange(arr, 0, 8);
	spin(arr, 13);
	exchange(arr, 5, 4);
	spin(arr, 8);
	exchange(arr, 13, 9);
	spin(arr, 5);
	exchange(arr, 10, 2);
	spin(arr, 10);
	exchange(arr, 13, 3);
	partner(arr, 'g', 'h');
	exchange(arr, 4, 10);
	partner(arr, 'p', 'e');
	exchange(arr, 13, 14);
	spin(arr, 8);
	partner(arr, 'k', 'l');
	exchange(arr, 6, 4);
	spin(arr, 3);
	exchange(arr, 10, 1);
	partner(arr, 'd', 'p');
	exchange(arr, 11, 5);
	spin(arr, 14);
	exchange(arr, 14, 3);
	spin(arr, 4);
	exchange(arr, 5, 6);
	spin(arr, 3);
	exchange(arr, 8, 0);
	spin(arr, 4);
	exchange(arr, 9, 12);
	spin(arr, 9);
	exchange(arr, 2, 10);
	partner(arr, 'j', 'a');
	spin(arr, 11);
	exchange(arr, 7, 15);
	partner(arr, 'b', 'i');
	exchange(arr, 14, 10);
	spin(arr, 15);
	exchange(arr, 0, 11);
	spin(arr, 1);
	exchange(arr, 2, 10);
	partner(arr, 'm', 'g');
	spin(arr, 12);
	exchange(arr, 9, 13);
	spin(arr, 5);
	exchange(arr, 8, 5);
	spin(arr, 8);
	exchange(arr, 4, 10);
	spin(arr, 9);
	exchange(arr, 7, 0);
	spin(arr, 9);
	exchange(arr, 11, 5);
	spin(arr, 1);
	partner(arr, 'a', 'l');
	exchange(arr, 10, 13);
	partner(arr, 'f', 'm');
	exchange(arr, 8, 14);
	partner(arr, 'k', 'l');
	exchange(arr, 5, 11);
	spin(arr, 7);
	exchange(arr, 13, 10);
	partner(arr, 'n', 'e');
	exchange(arr, 1, 7);
	spin(arr, 8);
	partner(arr, 'k', 'f');
	exchange(arr, 15, 11);
	spin(arr, 4);
	partner(arr, 'j', 'l');
	exchange(arr, 5, 9);
	spin(arr, 7);
	exchange(arr, 13, 6);
	spin(arr, 11);
	partner(arr, 'o', 'e');
	exchange(arr, 2, 15);
	spin(arr, 2);
	exchange(arr, 13, 11);
	partner(arr, 'n', 'p');
	exchange(arr, 6, 8);
	spin(arr, 9);
	exchange(arr, 1, 7);
	partner(arr, 'c', 'f');
	exchange(arr, 0, 13);
	partner(arr, 'j', 'o');
	spin(arr, 5);
	exchange(arr, 11, 2);
	spin(arr, 15);
	exchange(arr, 10, 13);
	spin(arr, 15);
	exchange(arr, 3, 14);
	spin(arr, 9);
	exchange(arr, 12, 9);
	partner(arr, 'n', 'h');
	spin(arr, 9);
	partner(arr, 'g', 'm');
	exchange(arr, 1, 5);
	partner(arr, 'n', 'p');
	exchange(arr, 2, 15);
	spin(arr, 8);
	exchange(arr, 9, 11);
	spin(arr, 3);
	exchange(arr, 6, 3);
	partner(arr, 'o', 'l');
	exchange(arr, 1, 2);
	partner(arr, 'e', 'g');
	exchange(arr, 5, 8);
	partner(arr, 'a', 'n');
	exchange(arr, 3, 7);
	spin(arr, 12);
	partner(arr, 'i', 'h');
	spin(arr, 3);
	exchange(arr, 4, 5);
	spin(arr, 4);
	exchange(arr, 3, 15);
	spin(arr, 11);
	exchange(arr, 13, 12);
	partner(arr, 'o', 'm');
	exchange(arr, 9, 10);
	spin(arr, 5);
	exchange(arr, 13, 1);
	spin(arr, 7);
	exchange(arr, 14, 2);
	spin(arr, 3);
	exchange(arr, 13, 4);
	partner(arr, 'e', 'f');
	exchange(arr, 1, 15);
	spin(arr, 14);
	exchange(arr, 9, 3);
	spin(arr, 9);
	partner(arr, 'p', 'm');
	exchange(arr, 2, 8);
	spin(arr, 8);
	partner(arr, 'h', 'b');
	exchange(arr, 11, 13);
	partner(arr, 'n', 'j');
	exchange(arr, 1, 7);
	spin(arr, 15);
	exchange(arr, 4, 5);
	partner(arr, 'c', 'e');
	exchange(arr, 12, 14);
	partner(arr, 'i', 'j');
	exchange(arr, 5, 13);
	spin(arr, 8);
	exchange(arr, 2, 6);
	spin(arr, 9);
	exchange(arr, 7, 10);
	partner(arr, 'd', 'p');
	exchange(arr, 5, 2);
	spin(arr, 4);
	exchange(arr, 4, 1);
	spin(arr, 10);
	exchange(arr, 14, 10);
	partner(arr, 'b', 'g');
	exchange(arr, 11, 2);
	partner(arr, 'h', 'f');
	exchange(arr, 0, 6);
	partner(arr, 'n', 'g');
	spin(arr, 13);
	exchange(arr, 1, 5);
	spin(arr, 15);
	exchange(arr, 15, 12);
	partner(arr, 'm', 'b');
	exchange(arr, 14, 13);
	partner(arr, 'a', 'o');
	exchange(arr, 6, 0);
	partner(arr, 'n', 'l');
	exchange(arr, 3, 11);
	spin(arr, 10);
	exchange(arr, 8, 0);
	partner(arr, 'o', 'd');
	exchange(arr, 13, 15);
	spin(arr, 11);
	exchange(arr, 0, 9);
	partner(arr, 'e', 'a');
	exchange(arr, 10, 15);
	partner(arr, 'g', 'f');
	exchange(arr, 3, 11);
	partner(arr, 'm', 'j');
	exchange(arr, 0, 5);
	partner(arr, 'd', 'a');
	exchange(arr, 6, 1);
	partner(arr, 'h', 'e');
	exchange(arr, 14, 12);
	spin(arr, 8);
	partner(arr, 'c', 'g');
	exchange(arr, 4, 5);
	spin(arr, 6);
	exchange(arr, 15, 12);
	spin(arr, 4);
	exchange(arr, 8, 4);
	spin(arr, 8);
	exchange(arr, 10, 12);
	partner(arr, 'a', 'o');
	exchange(arr, 9, 5);
	partner(arr, 'b', 'i');
	exchange(arr, 3, 15);
	partner(arr, 'a', 'p');
	exchange(arr, 1, 2);
	partner(arr, 'd', 'l');
	exchange(arr, 9, 3);
	partner(arr, 'b', 'j');
	exchange(arr, 0, 1);
	partner(arr, 'k', 'n');
	spin(arr, 2);
	exchange(arr, 15, 10);
	partner(arr, 'b', 'a');
	exchange(arr, 0, 8);
	partner(arr, 'j', 'p');
	exchange(arr, 3, 15);
	partner(arr, 'n', 'l');
	spin(arr, 4);
	exchange(arr, 4, 13);
	spin(arr, 2);
	exchange(arr, 8, 15);
	partner(arr, 'c', 'p');
	exchange(arr, 5, 12);
	spin(arr, 13);
	exchange(arr, 13, 8);
	partner(arr, 'm', 'o');
	exchange(arr, 15, 2);
	partner(arr, 'i', 'c');
	exchange(arr, 8, 4);
	partner(arr, 'a', 'h');
	exchange(arr, 3, 9);
	spin(arr, 7);
	partner(arr, 'i', 'g');
	spin(arr, 3);
	exchange(arr, 4, 10);
	spin(arr, 9);
	exchange(arr, 11, 7);
	spin(arr, 15);
	exchange(arr, 8, 2);
	spin(arr, 1);
	exchange(arr, 13, 4);
	partner(arr, 'l', 'c');
	exchange(arr, 5, 11);
	spin(arr, 12);
	exchange(arr, 15, 6);
	spin(arr, 7);
	exchange(arr, 10, 8);
	partner(arr, 'b', 'f');
	exchange(arr, 12, 7);
	partner(arr, 'k', 'l');
	exchange(arr, 5, 4);
	spin(arr, 15);
	exchange(arr, 6, 3);
	spin(arr, 2);
	exchange(arr, 1, 4);
	spin(arr, 15);
	exchange(arr, 8, 7);
	spin(arr, 2);
	exchange(arr, 14, 15);
	spin(arr, 14);
	exchange(arr, 2, 13);
	spin(arr, 6);
	exchange(arr, 0, 9);
	spin(arr, 2);
	exchange(arr, 1, 3);
	partner(arr, 'c', 'a');
	exchange(arr, 0, 9);
	spin(arr, 1);
	partner(arr, 'e', 'j');
	exchange(arr, 1, 6);
	spin(arr, 14);
	exchange(arr, 15, 11);
	partner(arr, 'p', 'h');
	exchange(arr, 14, 7);
	partner(arr, 'm', 'g');
	exchange(arr, 15, 13);
	spin(arr, 1);
	exchange(arr, 2, 5);
	spin(arr, 7);
	exchange(arr, 1, 12);
	spin(arr, 9);
	exchange(arr, 8, 9);
	spin(arr, 9);
	exchange(arr, 2, 3);
	spin(arr, 6);
	partner(arr, 'l', 'i');
	exchange(arr, 5, 1);
	partner(arr, 'k', 'b');
	spin(arr, 15);
	exchange(arr, 10, 3);
	partner(arr, 'j', 'n');
	spin(arr, 5);
	exchange(arr, 5, 4);
	partner(arr, 'f', 'c');
	exchange(arr, 1, 6);
	spin(arr, 9);
	exchange(arr, 10, 4);
	partner(arr, 'd', 'n');
	exchange(arr, 5, 15);
	partner(arr, 'c', 'h');
	exchange(arr, 8, 4);
	spin(arr, 15);
	partner(arr, 'o', 'a');
	exchange(arr, 13, 1);
	spin(arr, 13);
	exchange(arr, 6, 10);
	spin(arr, 4);
	exchange(arr, 3, 5);
	partner(arr, 'c', 'i');
	exchange(arr, 4, 9);
	spin(arr, 1);
	exchange(arr, 15, 7);
	partner(arr, 'j', 'g');
	exchange(arr, 14, 12);
	spin(arr, 15);
	exchange(arr, 11, 0);
	spin(arr, 12);
	exchange(arr, 10, 1);
	partner(arr, 'c', 'm');
	exchange(arr, 0, 15);
	partner(arr, 'e', 'p');
	exchange(arr, 5, 7);
	partner(arr, 'g', 'i');
	exchange(arr, 2, 15);
	spin(arr, 6);
	exchange(arr, 6, 13);
	spin(arr, 6);
	exchange(arr, 7, 0);
	spin(arr, 15);
	exchange(arr, 5, 13);
	partner(arr, 'o', 'l');
	spin(arr, 7);
	exchange(arr, 6, 15);
	spin(arr, 8);
	exchange(arr, 3, 8);
	spin(arr, 3);
	exchange(arr, 1, 13);
	spin(arr, 15);
	exchange(arr, 2, 9);
	partner(arr, 'g', 'a');
	exchange(arr, 3, 0);
	partner(arr, 'i', 'c');
	exchange(arr, 2, 11);
	spin(arr, 8);
	exchange(arr, 4, 12);
	partner(arr, 'e', 'k');
	exchange(arr, 5, 8);
	spin(arr, 9);
	exchange(arr, 9, 14);
	partner(arr, 'f', 'j');
	exchange(arr, 11, 1);
	partner(arr, 'b', 'n');
	exchange(arr, 4, 10);
	spin(arr, 11);
	partner(arr, 'd', 'e');
	exchange(arr, 2, 12);
	partner(arr, 'k', 'h');
	exchange(arr, 9, 8);
	spin(arr, 13);
	partner(arr, 'e', 'g');
	spin(arr, 2);
	partner(arr, 'h', 'm');
	exchange(arr, 15, 1);
	spin(arr, 11);
	partner(arr, 'j', 'i');
	spin(arr, 3);
	exchange(arr, 12, 14);
	partner(arr, 'c', 'o');
	exchange(arr, 11, 13);
	partner(arr, 'e', 'k');
	exchange(arr, 14, 15);
	spin(arr, 12);
	exchange(arr, 9, 1);
	spin(arr, 6);
	exchange(arr, 5, 13);
	partner(arr, 'i', 'o');
	exchange(arr, 4, 6);
	spin(arr, 15);
	partner(arr, 'f', 'l');
	exchange(arr, 8, 10);
	spin(arr, 9);
	exchange(arr, 11, 14);
	spin(arr, 14);
	exchange(arr, 10, 9);
	spin(arr, 1);
	exchange(arr, 7, 14);
	partner(arr, 'k', 'h');
	exchange(arr, 0, 8);
	partner(arr, 'i', 'l');
	exchange(arr, 15, 3);
	partner(arr, 'g', 'b');
	exchange(arr, 2, 13);
	spin(arr, 7);
	exchange(arr, 9, 12);
	spin(arr, 14);
	exchange(arr, 10, 3);
	partner(arr, 'd', 'i');
	spin(arr, 12);
	exchange(arr, 1, 7);
	spin(arr, 13);
	exchange(arr, 6, 3);
	spin(arr, 14);
	exchange(arr, 15, 12);
	spin(arr, 15);
	partner(arr, 'n', 'm');
	exchange(arr, 7, 5);
	spin(arr, 15);
	exchange(arr, 14, 1);
	partner(arr, 'e', 'j');
	exchange(arr, 11, 3);
	spin(arr, 1);
	exchange(arr, 9, 10);
	partner(arr, 'n', 'h');
	exchange(arr, 1, 2);
	partner(arr, 'k', 'p');
	exchange(arr, 14, 12);
	partner(arr, 'd', 'i');
	exchange(arr, 1, 4);
	partner(arr, 'j', 'f');
	exchange(arr, 9, 2);
	spin(arr, 2);
	exchange(arr, 1, 14);
	spin(arr, 13);
	exchange(arr, 15, 7);
	partner(arr, 'i', 'b');
	exchange(arr, 1, 14);
	partner(arr, 'a', 'h');
	exchange(arr, 2, 5);
	spin(arr, 3);
	exchange(arr, 8, 10);
	spin(arr, 11);
	exchange(arr, 12, 9);
	partner(arr, 'i', 'c');
	exchange(arr, 14, 0);
	partner(arr, 'n', 'j');
	exchange(arr, 2, 3);
	spin(arr, 8);
	exchange(arr, 15, 6);
	partner(arr, 'l', 'b');
	exchange(arr, 2, 7);
	spin(arr, 5);
	exchange(arr, 8, 14);
	spin(arr, 7);
	exchange(arr, 9, 6);
	partner(arr, 'a', 'e');
	exchange(arr, 10, 5);
	partner(arr, 'd', 'h');
	spin(arr, 7);
	exchange(arr, 2, 9);
	partner(arr, 'b', 'n');
	exchange(arr, 13, 10);
	spin(arr, 1);
	exchange(arr, 4, 5);
	partner(arr, 'h', 'o');
	exchange(arr, 3, 8);
	partner(arr, 'n', 'i');
	spin(arr, 15);
	exchange(arr, 5, 15);
	spin(arr, 6);
	exchange(arr, 14, 13);
	partner(arr, 'g', 'c');
	exchange(arr, 10, 11);
	spin(arr, 15);
	partner(arr, 'a', 'i');
	exchange(arr, 3, 14);
	partner(arr, 'h', 'f');
	spin(arr, 8);
	exchange(arr, 8, 6);
	partner(arr, 'k', 'c');
	exchange(arr, 10, 5);
	spin(arr, 10);
	exchange(arr, 6, 7);
	spin(arr, 12);
	exchange(arr, 15, 11);
	partner(arr, 'd', 'n');
	exchange(arr, 7, 6);
	spin(arr, 5);
	exchange(arr, 13, 4);
	partner(arr, 'f', 'g');
	exchange(arr, 11, 2);
	partner(arr, 'l', 'b');
	exchange(arr, 7, 12);
	spin(arr, 9);
	exchange(arr, 9, 13);
	spin(arr, 4);
	exchange(arr, 14, 5);
	partner(arr, 'n', 'h');
	exchange(arr, 4, 13);
	partner(arr, 'g', 'm');
	spin(arr, 14);
	exchange(arr, 6, 5);
	partner(arr, 'e', 'a');
	exchange(arr, 14, 4);
	partner(arr, 'k', 'n');
	spin(arr, 5);
	partner(arr, 'o', 'm');
	exchange(arr, 6, 7);
	spin(arr, 15);
	exchange(arr, 2, 12);
	partner(arr, 'c', 'b');
	spin(arr, 14);
	exchange(arr, 4, 6);
	spin(arr, 15);
	exchange(arr, 2, 8);
	partner(arr, 'h', 'j');
	exchange(arr, 0, 11);
	partner(arr, 'p', 'i');
	exchange(arr, 5, 14);
	spin(arr, 5);
	exchange(arr, 13, 2);
	spin(arr, 6);
	exchange(arr, 15, 5);
	partner(arr, 'g', 'n');
	exchange(arr, 8, 3);
	spin(arr, 12);
	exchange(arr, 11, 4);
	spin(arr, 9);
	exchange(arr, 1, 14);
	partner(arr, 'b', 'p');
	exchange(arr, 12, 2);
	spin(arr, 6);
	exchange(arr, 14, 9);
	spin(arr, 3);
	exchange(arr, 3, 10);
	partner(arr, 'e', 'm');
	exchange(arr, 13, 7);
	partner(arr, 'h', 'a');
	exchange(arr, 0, 10);
	partner(arr, 'i', 'c');
	exchange(arr, 11, 5);
	spin(arr, 15);
	exchange(arr, 1, 7);
	spin(arr, 9);
	exchange(arr, 6, 9);
	spin(arr, 3);
	exchange(arr, 11, 4);
	spin(arr, 1);
	exchange(arr, 8, 7);
	spin(arr, 15);
	exchange(arr, 0, 12);
	spin(arr, 2);
	exchange(arr, 5, 13);
	spin(arr, 1);
	exchange(arr, 12, 11);
	spin(arr, 10);
	exchange(arr, 3, 5);
	spin(arr, 12);
	exchange(arr, 7, 13);
	partner(arr, 'g', 'e');
	exchange(arr, 1, 12);
	partner(arr, 'c', 'm');
	exchange(arr, 13, 11);
	spin(arr, 4);
	exchange(arr, 15, 4);
	spin(arr, 8);
	exchange(arr, 11, 8);
	spin(arr, 8);
	exchange(arr, 5, 0);
	spin(arr, 14);
	exchange(arr, 9, 1);
	spin(arr, 12);
	exchange(arr, 4, 2);
	partner(arr, 'e', 'j');
	exchange(arr, 6, 14);
	spin(arr, 3);
	exchange(arr, 4, 15);
	spin(arr, 3);
	exchange(arr, 9, 2);
	spin(arr, 10);
	exchange(arr, 10, 14);
	spin(arr, 2);
	exchange(arr, 11, 12);
	partner(arr, 'n', 'a');
	exchange(arr, 13, 14);
	spin(arr, 12);
	partner(arr, 'o', 'i');
	exchange(arr, 5, 6);
	partner(arr, 'g', 'c');
	exchange(arr, 3, 12);
	spin(arr, 13);
	exchange(arr, 0, 14);
	spin(arr, 10);
	exchange(arr, 3, 7);
	spin(arr, 12);
	exchange(arr, 1, 0);
	partner(arr, 'j', 'l');
	exchange(arr, 14, 15);
	spin(arr, 8);
	exchange(arr, 1, 12);
	spin(arr, 8);
	exchange(arr, 10, 15);
	spin(arr, 13);
	exchange(arr, 0, 9);
	spin(arr, 1);
	exchange(arr, 11, 1);
	partner(arr, 'k', 'p');
	exchange(arr, 12, 13);
	spin(arr, 8);
	exchange(arr, 11, 1);
	spin(arr, 9);
	partner(arr, 'n', 'c');
	exchange(arr, 7, 6);
	spin(arr, 12);
	exchange(arr, 8, 1);
	spin(arr, 1);
	partner(arr, 'f', 'h');
	exchange(arr, 10, 0);
	spin(arr, 10);
	exchange(arr, 4, 7);
	partner(arr, 'a', 'n');
	exchange(arr, 11, 15);
	spin(arr, 1);
	exchange(arr, 5, 3);
	partner(arr, 'g', 'i');
	exchange(arr, 4, 14);
	spin(arr, 15);
	exchange(arr, 7, 3);
	partner(arr, 'f', 'm');
	exchange(arr, 11, 10);
	spin(arr, 9);
	exchange(arr, 1, 8);
	spin(arr, 9);
	partner(arr, 'i', 'j');
	exchange(arr, 11, 3);
	spin(arr, 7);
	exchange(arr, 14, 4);
	spin(arr, 5);
	partner(arr, 'm', 'f');
	exchange(arr, 6, 7);
	spin(arr, 13);
	exchange(arr, 5, 10);
	spin(arr, 10);
	exchange(arr, 0, 4);
	spin(arr, 6);
	exchange(arr, 8, 2);
	spin(arr, 13);
	exchange(arr, 9, 4);
	partner(arr, 'o', 'p');
	spin(arr, 8);
	exchange(arr, 11, 3);
	spin(arr, 1);
	exchange(arr, 5, 13);
	partner(arr, 'h', 'i');
	exchange(arr, 8, 2);
	partner(arr, 'j', 'c');
	exchange(arr, 5, 14);
	partner(arr, 'n', 'p');
	exchange(arr, 2, 11);
	spin(arr, 4);
	exchange(arr, 1, 6);
	spin(arr, 4);
	exchange(arr, 12, 10);
	spin(arr, 13);
	exchange(arr, 15, 4);
	spin(arr, 14);
	exchange(arr, 1, 3);
	spin(arr, 10);
	exchange(arr, 5, 9);
	spin(arr, 9);
	exchange(arr, 14, 7);
	partner(arr, 'o', 'k');
	exchange(arr, 10, 4);
	spin(arr, 10);
	exchange(arr, 9, 1);
	partner(arr, 'a', 'h');
	exchange(arr, 5, 10);
	spin(arr, 7);
	exchange(arr, 15, 3);
	spin(arr, 5);
	exchange(arr, 2, 1);
	partner(arr, 'p', 'b');
	exchange(arr, 14, 12);
	spin(arr, 5);
	exchange(arr, 6, 3);
	spin(arr, 12);
	exchange(arr, 11, 0);
	spin(arr, 15);
	exchange(arr, 6, 15);
	partner(arr, 'g', 'h');
	exchange(arr, 1, 0);
	spin(arr, 3);
	exchange(arr, 14, 3);
	spin(arr, 7);
	exchange(arr, 12, 11);
	partner(arr, 'p', 'i');
	exchange(arr, 7, 14);
	partner(arr, 'n', 'b');
	spin(arr, 9);
	exchange(arr, 6, 5);
	partner(arr, 'j', 'c');
	exchange(arr, 8, 10);
	partner(arr, 'h', 'k');
	exchange(arr, 0, 13);
	spin(arr, 9);
	exchange(arr, 15, 2);
	partner(arr, 'n', 'j');
	exchange(arr, 14, 6);
	partner(arr, 'l', 'g');
	exchange(arr, 1, 5);
	partner(arr, 'n', 'c');
	exchange(arr, 3, 12);
	partner(arr, 'f', 'k');
	exchange(arr, 5, 0);
	partner(arr, 'h', 'd');
	exchange(arr, 15, 6);
	partner(arr, 'f', 'b');
	exchange(arr, 7, 10);
	partner(arr, 'm', 'c');
	spin(arr, 1);
	exchange(arr, 0, 3);
	partner(arr, 'n', 'k');
	exchange(arr, 2, 1);
	partner(arr, 'h', 'b');
	exchange(arr, 12, 6);
	spin(arr, 4);
	exchange(arr, 15, 0);
	partner(arr, 'e', 'l');
	exchange(arr, 3, 9);
	spin(arr, 8);
	exchange(arr, 0, 11);
	spin(arr, 12);
	exchange(arr, 13, 10);
	partner(arr, 'd', 'b');
	spin(arr, 7);
	exchange(arr, 15, 8);
	spin(arr, 6);
	exchange(arr, 1, 5);
	spin(arr, 5);
	exchange(arr, 13, 8);
	partner(arr, 'j', 'p');
	spin(arr, 12);
	exchange(arr, 3, 10);
	partner(arr, 'f', 'c');
	exchange(arr, 5, 14);
	spin(arr, 15);
	exchange(arr, 10, 15);
	spin(arr, 7);
	exchange(arr, 6, 5);
	spin(arr, 15);
	exchange(arr, 10, 15);
	spin(arr, 7);
	exchange(arr, 12, 5);
	spin(arr, 5);
	exchange(arr, 13, 8);
	spin(arr, 11);
	exchange(arr, 7, 4);
	spin(arr, 11);
	exchange(arr, 8, 11);
	partner(arr, 'g', 'k');
	exchange(arr, 5, 1);
	partner(arr, 'b', 'i');
	spin(arr, 3);
	exchange(arr, 2, 14);
	partner(arr, 'j', 'c');
	exchange(arr, 15, 4);
	spin(arr, 10);
	exchange(arr, 6, 12);
	partner(arr, 'p', 'l');
	exchange(arr, 13, 7);
	spin(arr, 14);
	exchange(arr, 12, 1);
	spin(arr, 13);
	exchange(arr, 5, 2);
	spin(arr, 7);
	exchange(arr, 4, 1);
	spin(arr, 11);
	exchange(arr, 6, 0);
	spin(arr, 13);
	exchange(arr, 8, 2);
	spin(arr, 15);
	exchange(arr, 12, 15);
	partner(arr, 'm', 'g');
	exchange(arr, 9, 2);
	partner(arr, 'l', 'h');
	exchange(arr, 5, 11);
	spin(arr, 15);
	exchange(arr, 9, 3);
	partner(arr, 'p', 'b');
	exchange(arr, 7, 11);
	spin(arr, 15);
	partner(arr, 'f', 'e');
	spin(arr, 6);
	exchange(arr, 5, 13);
	spin(arr, 2);
	exchange(arr, 2, 6);
	spin(arr, 8);
	exchange(arr, 11, 14);
	spin(arr, 5);
	exchange(arr, 1, 7);
	partner(arr, 'h', 'j');
	exchange(arr, 9, 13);
	spin(arr, 15);
	exchange(arr, 6, 2);
	partner(arr, 'c', 'e');
	exchange(arr, 5, 15);
	spin(arr, 2);
	exchange(arr, 12, 9);
	partner(arr, 'h', 'd');
	exchange(arr, 6, 7);
	partner(arr, 'j', 'b');
	exchange(arr, 8, 2);
	partner(arr, 'o', 'm');
	exchange(arr, 10, 12);
	spin(arr, 5);
	exchange(arr, 7, 15);
	partner(arr, 'n', 'f');
	spin(arr, 11);
	exchange(arr, 8, 13);
	partner(arr, 'e', 'g');
	exchange(arr, 1, 0);
	spin(arr, 15);
	exchange(arr, 8, 10);
	spin(arr, 7);
	exchange(arr, 0, 15);
	partner(arr, 'b', 'o');
	exchange(arr, 1, 2);
	spin(arr, 1);
	exchange(arr, 8, 13);
	spin(arr, 12);
	exchange(arr, 15, 3);
	spin(arr, 1);
	exchange(arr, 6, 0);
	spin(arr, 13);
	exchange(arr, 2, 1);
	partner(arr, 'f', 'l');
	exchange(arr, 8, 9);
	spin(arr, 5);
	exchange(arr, 4, 11);
	partner(arr, 'a', 'p');
	exchange(arr, 1, 10);
	spin(arr, 3);
	exchange(arr, 12, 7);
	partner(arr, 'k', 'g');
	exchange(arr, 0, 4);
	spin(arr, 13);
	exchange(arr, 12, 15);
	partner(arr, 'd', 'i');
	exchange(arr, 5, 9);
	partner(arr, 'b', 'a');
	exchange(arr, 1, 4);
	spin(arr, 13);
	exchange(arr, 3, 11);
	spin(arr, 10);
	exchange(arr, 5, 0);
	partner(arr, 'f', 'i');
	exchange(arr, 14, 6);
	spin(arr, 6);
	exchange(arr, 4, 10);
	spin(arr, 5);
	exchange(arr, 2, 13);
	partner(arr, 'l', 'k');
	exchange(arr, 8, 1);
	partner(arr, 'm', 'i');
	exchange(arr, 14, 3);
	spin(arr, 6);
	exchange(arr, 7, 13);
	spin(arr, 15);
	exchange(arr, 9, 0);
	spin(arr, 4);
	exchange(arr, 3, 11);
	spin(arr, 5);
	exchange(arr, 4, 2);
	partner(arr, 'k', 'a');
	exchange(arr, 3, 13);
	partner(arr, 'b', 'd');
	exchange(arr, 0, 5);
	spin(arr, 7);
	partner(arr, 'k', 'm');
	spin(arr, 2);
	exchange(arr, 6, 10);
	spin(arr, 7);
	exchange(arr, 5, 9);
	partner(arr, 'a', 'b');
	exchange(arr, 8, 13);
	spin(arr, 14);
	exchange(arr, 11, 10);
	partner(arr, 'f', 'l');
	exchange(arr, 0, 13);
	partner(arr, 'm', 'd');
	exchange(arr, 9, 14);
	spin(arr, 5);
	exchange(arr, 10, 11);
	spin(arr, 15);
	exchange(arr, 13, 3);
	spin(arr, 13);
	exchange(arr, 12, 6);
	partner(arr, 'b', 'c');
	exchange(arr, 10, 9);
	spin(arr, 5);
	exchange(arr, 1, 13);
	spin(arr, 1);
	exchange(arr, 10, 8);
	spin(arr, 4);
	exchange(arr, 2, 1);
	spin(arr, 3);
	exchange(arr, 14, 7);
	spin(arr, 3);
	exchange(arr, 8, 13);
	spin(arr, 6);
	exchange(arr, 4, 0);
	spin(arr, 4);
	exchange(arr, 10, 11);
	partner(arr, 'g', 'h');
	exchange(arr, 1, 9);
	spin(arr, 6);
	exchange(arr, 4, 14);
	partner(arr, 'd', 'e');
	exchange(arr, 13, 7);
	spin(arr, 3);
	exchange(arr, 9, 14);
	partner(arr, 'l', 'f');
	exchange(arr, 12, 11);
	partner(arr, 'a', 'm');
	spin(arr, 2);
	exchange(arr, 4, 6);
	spin(arr, 7);
	exchange(arr, 1, 12);
	partner(arr, 'p', 'c');
	exchange(arr, 5, 15);
	partner(arr, 'g', 'h');
	exchange(arr, 10, 14);
	spin(arr, 7);
	partner(arr, 'b', 'n');
	exchange(arr, 13, 0);
	partner(arr, 'j', 'k');
	exchange(arr, 3, 2);
	partner(arr, 'm', 'h');
	exchange(arr, 1, 7);
	spin(arr, 14);
	partner(arr, 'b', 'i');
	spin(arr, 10);
	exchange(arr, 0, 15);
	spin(arr, 2);
	exchange(arr, 13, 2);
	spin(arr, 10);
	exchange(arr, 11, 3);
	partner(arr, 'e', 'p');
	exchange(arr, 0, 4);
	spin(arr, 9);
	exchange(arr, 6, 5);
	partner(arr, 'b', 'd');
	spin(arr, 11);
	exchange(arr, 15, 14);
	spin(arr, 9);
	partner(arr, 'e', 'f');
	exchange(arr, 3, 5);
	partner(arr, 'n', 'b');
	exchange(arr, 12, 11);
	partner(arr, 'c', 'g');
	spin(arr, 8);
	exchange(arr, 13, 15);
	spin(arr, 12);
	exchange(arr, 8, 6);
	partner(arr, 'd', 'm');
	exchange(arr, 5, 15);
	partner(arr, 'k', 'h');
	exchange(arr, 2, 10);
	partner(arr, 'o', 'l');
	exchange(arr, 6, 14);
	spin(arr, 10);
	exchange(arr, 4, 15);
	spin(arr, 8);
	exchange(arr, 14, 13);
	spin(arr, 15);
	exchange(arr, 3, 6);
	spin(arr, 13);
	exchange(arr, 14, 7);
	spin(arr, 8);
	exchange(arr, 10, 13);
	spin(arr, 12);
	exchange(arr, 1, 15);
	spin(arr, 15);
	exchange(arr, 5, 4);
	partner(arr, 'n', 'h');
	exchange(arr, 15, 9);
	spin(arr, 13);
	exchange(arr, 4, 6);
	spin(arr, 14);
	exchange(arr, 3, 1);
	partner(arr, 'p', 'd');
	exchange(arr, 5, 14);
	spin(arr, 13);
	exchange(arr, 2, 3);
	spin(arr, 10);
	exchange(arr, 15, 11);
	spin(arr, 14);
	partner(arr, 'j', 'm');
	exchange(arr, 2, 8);
	spin(arr, 6);
	partner(arr, 'o', 'l');
	exchange(arr, 15, 0);
	partner(arr, 'j', 'b');
	exchange(arr, 9, 6);
	spin(arr, 8);
	exchange(arr, 11, 14);
	partner(arr, 'p', 'h');
	spin(arr, 7);
	exchange(arr, 10, 7);
	spin(arr, 9);
	exchange(arr, 13, 9);
	spin(arr, 14);
	exchange(arr, 3, 8);
	partner(arr, 'f', 'j');
	exchange(arr, 13, 10);
	partner(arr, 'b', 'm');
	exchange(arr, 5, 8);
	spin(arr, 7);
	exchange(arr, 11, 6);
	spin(arr, 6);
	exchange(arr, 14, 10);
	spin(arr, 7);
	exchange(arr, 13, 7);
	partner(arr, 'c', 'o');
	exchange(arr, 15, 0);
	spin(arr, 5);
	exchange(arr, 1, 2);
	spin(arr, 12);
	exchange(arr, 14, 5);
	spin(arr, 1);
	exchange(arr, 7, 4);
	partner(arr, 'a', 'l');
	exchange(arr, 6, 2);
	spin(arr, 9);
	exchange(arr, 9, 14);
	partner(arr, 'e', 'i');
	exchange(arr, 12, 8);
	partner(arr, 'c', 'l');
	exchange(arr, 10, 0);
	partner(arr, 'j', 'k');
	exchange(arr, 9, 4);
	partner(arr, 'c', 'n');
	spin(arr, 9);
	partner(arr, 'k', 'e');
	exchange(arr, 3, 0);
	partner(arr, 'd', 'f');
	exchange(arr, 12, 1);
	spin(arr, 3);
	exchange(arr, 0, 7);
	partner(arr, 'p', 'o');
	exchange(arr, 4, 2);
	spin(arr, 7);
	exchange(arr, 14, 15);
	partner(arr, 'h', 'f');
	exchange(arr, 1, 4);
	spin(arr, 9);
	exchange(arr, 6, 10);
	spin(arr, 8);
	exchange(arr, 4, 15);
	partner(arr, 'b', 'p');
	exchange(arr, 13, 8);
	spin(arr, 9);
	exchange(arr, 5, 4);
	spin(arr, 12);
	exchange(arr, 15, 1);
	partner(arr, 'f', 'd');
	exchange(arr, 6, 14);
	spin(arr, 4);
	exchange(arr, 13, 10);
	partner(arr, 'h', 'i');
	spin(arr, 11);
	exchange(arr, 9, 6);
	partner(arr, 'c', 'e');
	exchange(arr, 3, 8);
	partner(arr, 'i', 'b');
	exchange(arr, 14, 7);
	partner(arr, 'o', 'n');
	exchange(arr, 15, 2);
	partner(arr, 'e', 'p');
	spin(arr, 10);
	exchange(arr, 3, 11);
	spin(arr, 6);
	exchange(arr, 7, 4);
	spin(arr, 9);
	partner(arr, 'b', 'c');
	exchange(arr, 8, 0);
	spin(arr, 1);
	exchange(arr, 10, 5);
	spin(arr, 6);
	exchange(arr, 8, 7);
	spin(arr, 3);
	exchange(arr, 10, 4);
	spin(arr, 15);
	exchange(arr, 8, 9);
	spin(arr, 7);
	exchange(arr, 3, 7);
	spin(arr, 4);
	exchange(arr, 1, 8);
	spin(arr, 8);
	exchange(arr, 0, 6);
	spin(arr, 7);
	exchange(arr, 13, 11);
	partner(arr, 'k', 'm');
	exchange(arr, 1, 2);
	spin(arr, 13);
	partner(arr, 'h', 'f');
	exchange(arr, 5, 0);
	partner(arr, 'c', 'd');
	exchange(arr, 4, 2);
	spin(arr, 2);
	exchange(arr, 9, 14);
	spin(arr, 11);
	exchange(arr, 6, 7);
	spin(arr, 9);
	exchange(arr, 14, 10);
	partner(arr, 'a', 'p');
	exchange(arr, 5, 8);
	partner(arr, 'm', 'e');
	exchange(arr, 1, 10);
	partner(arr, 'h', 'l');
	exchange(arr, 12, 11);
	partner(arr, 'e', 'n');
	exchange(arr, 10, 2);
	partner(arr, 'o', 'h');
	exchange(arr, 13, 3);
	partner(arr, 'e', 'j');
	exchange(arr, 2, 4);
	spin(arr, 2);
	exchange(arr, 9, 12);
	partner(arr, 'f', 'o');
	exchange(arr, 3, 15);
	spin(arr, 15);
	exchange(arr, 7, 9);
	spin(arr, 10);
	exchange(arr, 5, 4);
	partner(arr, 'p', 'h');
	spin(arr, 2);
	exchange(arr, 14, 8);
	partner(arr, 'i', 'a');
	exchange(arr, 7, 9);
	partner(arr, 'p', 'j');
	exchange(arr, 6, 8);
	spin(arr, 4);
	exchange(arr, 15, 2);
	partner(arr, 'k', 'm');
	exchange(arr, 1, 14);
	spin(arr, 1);
	exchange(arr, 2, 15);
	spin(arr, 2);
	exchange(arr, 7, 0);
	partner(arr, 'h', 'l');
	exchange(arr, 11, 12);
	spin(arr, 8);
	exchange(arr, 10, 6);
	partner(arr, 'i', 'c');
	exchange(arr, 8, 14);
	spin(arr, 9);
	exchange(arr, 15, 9);
	spin(arr, 5);
	exchange(arr, 11, 6);
	spin(arr, 12);
	exchange(arr, 5, 9);
	spin(arr, 3);
	exchange(arr, 10, 0);
	spin(arr, 15);
	exchange(arr, 8, 5);
	spin(arr, 9);
	exchange(arr, 10, 4);
	partner(arr, 'm', 'e');
	exchange(arr, 8, 14);
	partner(arr, 'k', 'j');
	exchange(arr, 2, 5);
	spin(arr, 13);
	exchange(arr, 7, 10);
	spin(arr, 2);
	exchange(arr, 4, 15);
	spin(arr, 10);
	exchange(arr, 14, 12);
	spin(arr, 3);
	exchange(arr, 9, 6);
	partner(arr, 'l', 'd');
	exchange(arr, 14, 0);
	partner(arr, 'e', 'p');
	exchange(arr, 5, 12);
	spin(arr, 2);
	exchange(arr, 8, 11);
	partner(arr, 'h', 'l');
	exchange(arr, 6, 15);
	partner(arr, 'g', 'd');
	exchange(arr, 1, 4);
	partner(arr, 'h', 'm');
	exchange(arr, 6, 11);
	spin(arr, 6);
	exchange(arr, 14, 8);
	spin(arr, 7);
	exchange(arr, 15, 5);
	partner(arr, 'k', 'i');
	exchange(arr, 2, 9);
	spin(arr, 14);
	exchange(arr, 11, 12);
	partner(arr, 'm', 'l');
	exchange(arr, 2, 8);
	spin(arr, 15);
	exchange(arr, 10, 9);
	spin(arr, 6);
	exchange(arr, 8, 5);
	spin(arr, 15);
	exchange(arr, 15, 3);
	partner(arr, 'g', 'j');
	exchange(arr, 14, 13);
	spin(arr, 9);
	exchange(arr, 8, 2);
	spin(arr, 4);
	exchange(arr, 1, 15);
	partner(arr, 'a', 'm');
	exchange(arr, 8, 12);
	spin(arr, 5);
	exchange(arr, 14, 2);
	spin(arr, 12);
	partner(arr, 'h', 'c');
	exchange(arr, 9, 5);
	partner(arr, 'o', 'e');
	spin(arr, 4);
	exchange(arr, 1, 4);
	spin(arr, 15);
	exchange(arr, 0, 7);
	partner(arr, 'n', 'b');
	exchange(arr, 14, 5);
	partner(arr, 'l', 'd');
	exchange(arr, 1, 15);
	partner(arr, 'm', 'e');
	exchange(arr, 9, 13);
	partner(arr, 'd', 'h');
	spin(arr, 10);
	exchange(arr, 5, 2);
	partner(arr, 'n', 'f');
	exchange(arr, 14, 3);
	partner(arr, 'e', 'i');
	exchange(arr, 11, 9);
	partner(arr, 'j', 'l');
	exchange(arr, 13, 1);
	partner(arr, 'p', 'd');
	exchange(arr, 0, 14);
	partner(arr, 'k', 'j');
	exchange(arr, 2, 8);
	spin(arr, 2);
	exchange(arr, 12, 14);
	partner(arr, 'e', 'a');
	exchange(arr, 2, 6);
	partner(arr, 'l', 'o');
	spin(arr, 10);
	exchange(arr, 10, 3);
	spin(arr, 8);
	exchange(arr, 5, 11);
	partner(arr, 'm', 'g');
	exchange(arr, 3, 8);
	spin(arr, 11);
	exchange(arr, 15, 9);
	partner(arr, 'k', 'i');
	exchange(arr, 11, 12);
	spin(arr, 11);
	exchange(arr, 10, 1);
	partner(arr, 'j', 'm');
	exchange(arr, 15, 3);
	spin(arr, 3);
	exchange(arr, 12, 4);
	partner(arr, 'f', 'l');
	exchange(arr, 9, 7);
	partner(arr, 'h', 'k');
	exchange(arr, 12, 4);
	spin(arr, 10);
	exchange(arr, 3, 2);
	partner(arr, 'j', 'o');
	spin(arr, 8);
	exchange(arr, 12, 6);
	spin(arr, 6);
	exchange(arr, 11, 13);
	partner(arr, 'b', 'i');
	exchange(arr, 12, 14);
	spin(arr, 14);
	exchange(arr, 4, 13);
	spin(arr, 15);
	exchange(arr, 15, 10);
	spin(arr, 13);
	exchange(arr, 7, 1);
	partner(arr, 'a', 'j');
	exchange(arr, 14, 11);
	spin(arr, 14);
	exchange(arr, 4, 6);
	spin(arr, 6);
	exchange(arr, 14, 1);
	spin(arr, 10);
	exchange(arr, 10, 5);
	spin(arr, 4);
	exchange(arr, 13, 15);
	partner(arr, 'm', 'l');
	exchange(arr, 0, 5);
	partner(arr, 'h', 'o');
	exchange(arr, 12, 2);
	spin(arr, 8);
	exchange(arr, 6, 14);
	partner(arr, 'f', 'k');
	exchange(arr, 13, 8);
	partner(arr, 'o', 'i');
	exchange(arr, 7, 4);
	partner(arr, 'k', 'j');
	exchange(arr, 0, 2);
	spin(arr, 3);
	exchange(arr, 13, 14);
	spin(arr, 9);
	exchange(arr, 0, 10);
	spin(arr, 11);
	exchange(arr, 4, 9);
	partner(arr, 'm', 'l');
	exchange(arr, 14, 1);
	spin(arr, 5);
	partner(arr, 'h', 'e');
	exchange(arr, 8, 3);
	spin(arr, 14);
	partner(arr, 'l', 'n');
	exchange(arr, 12, 11);
	partner(arr, 'k', 'c');
	exchange(arr, 4, 5);
	spin(arr, 2);
	exchange(arr, 7, 8);
	spin(arr, 9);
	exchange(arr, 14, 12);
	partner(arr, 'n', 'j');
	exchange(arr, 15, 10);
	partner(arr, 'i', 'a');
	exchange(arr, 2, 9);
	spin(arr, 8);
	exchange(arr, 3, 1);
	spin(arr, 14);
	exchange(arr, 2, 15);
	spin(arr, 4);
	exchange(arr, 14, 1);
	spin(arr, 7);
	exchange(arr, 10, 0);
	spin(arr, 1);
	exchange(arr, 13, 14);
	partner(arr, 'g', 'l');
	exchange(arr, 10, 15);
	spin(arr, 7);
	partner(arr, 'a', 'c');
	exchange(arr, 4, 8);
	partner(arr, 'd', 'b');
	exchange(arr, 1, 13);
	spin(arr, 6);
	exchange(arr, 14, 12);
	partner(arr, 'j', 'a');
	exchange(arr, 7, 4);
	spin(arr, 1);
	exchange(arr, 14, 12);
	spin(arr, 15);
	partner(arr, 'b', 'e');
	exchange(arr, 7, 13);
	spin(arr, 12);
	exchange(arr, 9, 3);
	spin(arr, 11);
	exchange(arr, 4, 6);
	spin(arr, 15);
	exchange(arr, 8, 11);
	spin(arr, 7);
	exchange(arr, 2, 5);
	spin(arr, 7);
	exchange(arr, 10, 13);
	spin(arr, 15);
	exchange(arr, 0, 15);
	spin(arr, 4);
	exchange(arr, 4, 7);
	spin(arr, 12);
	exchange(arr, 11, 8);
	spin(arr, 11);
	exchange(arr, 1, 13);
	spin(arr, 8);
	exchange(arr, 0, 14);
	partner(arr, 'm', 'a');
	exchange(arr, 6, 9);
	spin(arr, 14);
	exchange(arr, 4, 8);
	spin(arr, 1);
	exchange(arr, 5, 6);
	partner(arr, 'f', 'o');
	exchange(arr, 9, 10);
	partner(arr, 'j', 'l');
	exchange(arr, 14, 11);
	partner(arr, 'o', 'e');
	exchange(arr, 3, 9);
	spin(arr, 15);
	exchange(arr, 5, 14);
	partner(arr, 'p', 'i');
	exchange(arr, 9, 10);
	spin(arr, 8);
	exchange(arr, 4, 13);
	spin(arr, 12);
	exchange(arr, 14, 5);
	spin(arr, 3);
	exchange(arr, 12, 15);
	spin(arr, 11);
	exchange(arr, 7, 8);
	spin(arr, 9);
	exchange(arr, 13, 10);
	spin(arr, 13);
	partner(arr, 'l', 'o');
	exchange(arr, 7, 14);
	partner(arr, 'd', 'i');
	exchange(arr, 12, 6);
	spin(arr, 4);
	exchange(arr, 15, 5);
	spin(arr, 9);
	exchange(arr, 11, 14);
	partner(arr, 'g', 'f');
	exchange(arr, 3, 5);
	partner(arr, 'e', 'o');
	exchange(arr, 6, 4);
	spin(arr, 2);
	exchange(arr, 15, 1);
	partner(arr, 'a', 'j');
	exchange(arr, 4, 14);
	partner(arr, 'k', 'o');
	spin(arr, 4);
	partner(arr, 'h', 'c');
	exchange(arr, 2, 5);
	spin(arr, 9);
	exchange(arr, 11, 6);
	spin(arr, 1);
	exchange(arr, 3, 13);
	spin(arr, 10);
	exchange(arr, 14, 10);
	spin(arr, 11);
	exchange(arr, 1, 0);
	spin(arr, 1);
	exchange(arr, 12, 14);
	spin(arr, 15);
	exchange(arr, 7, 3);
	partner(arr, 'p', 'l');
	spin(arr, 15);
	exchange(arr, 0, 8);
	partner(arr, 'e', 'k');
	exchange(arr, 13, 15);
	partner(arr, 'p', 'j');
	exchange(arr, 0, 4);
	partner(arr, 'd', 'l');
	exchange(arr, 15, 8);
	partner(arr, 'k', 'n');
	exchange(arr, 6, 14);
	partner(arr, 'p', 'm');
	spin(arr, 13);
	exchange(arr, 7, 8);
	spin(arr, 3);
	exchange(arr, 1, 0);
	spin(arr, 12);
	exchange(arr, 7, 5);
	partner(arr, 'n', 'b');
	exchange(arr, 3, 13);
	spin(arr, 4);
	exchange(arr, 0, 15);
	spin(arr, 5);
	exchange(arr, 1, 7);
	partner(arr, 'm', 'c');
	exchange(arr, 13, 3);
	partner(arr, 'n', 'p');
	exchange(arr, 11, 7);
	spin(arr, 8);
	exchange(arr, 3, 0);
	spin(arr, 13);
	exchange(arr, 11, 13);
	spin(arr, 10);
	exchange(arr, 10, 9);
	partner(arr, 'f', 'g');
	exchange(arr, 14, 15);
	spin(arr, 2);
	exchange(arr, 3, 6);
	partner(arr, 'j', 'p');
	exchange(arr, 7, 10);
	spin(arr, 13);
	exchange(arr, 5, 4);
	spin(arr, 11);
	exchange(arr, 7, 12);
	partner(arr, 'g', 'f');
	exchange(arr, 10, 5);
	partner(arr, 'm', 'd');
	exchange(arr, 4, 12);
	spin(arr, 3);
	exchange(arr, 0, 9);
	partner(arr, 'b', 'j');
	exchange(arr, 10, 14);
	partner(arr, 'a', 'i');
	exchange(arr, 7, 0);
	spin(arr, 6);
	exchange(arr, 3, 4);
	spin(arr, 9);
	exchange(arr, 8, 7);
	partner(arr, 'j', 'b');
	exchange(arr, 2, 13);
	spin(arr, 9);
	exchange(arr, 1, 3);
	spin(arr, 6);
	exchange(arr, 8, 15);
	spin(arr, 15);
	exchange(arr, 0, 2);
	spin(arr, 15);
	exchange(arr, 10, 14);
	spin(arr, 12);
	exchange(arr, 7, 1);
	spin(arr, 6);
	exchange(arr, 2, 9);
	partner(arr, 'o', 'p');
	exchange(arr, 12, 7);
	spin(arr, 5);
	exchange(arr, 1, 13);
	spin(arr, 4);
	exchange(arr, 11, 6);
	partner(arr, 'j', 'e');
	exchange(arr, 13, 12);
	spin(arr, 12);
	exchange(arr, 11, 7);
	spin(arr, 10);
	partner(arr, 'g', 'b');
	spin(arr, 12);
	exchange(arr, 6, 4);
	partner(arr, 'f', 'i');
	spin(arr, 9);
	exchange(arr, 0, 12);
	spin(arr, 13);
	exchange(arr, 9, 8);
	spin(arr, 15);
	exchange(arr, 15, 4);
	spin(arr, 11);
	exchange(arr, 11, 10);
	partner(arr, 'e', 'j');
	exchange(arr, 7, 13);
	partner(arr, 'p', 'l');
	exchange(arr, 9, 3);
	partner(arr, 'j', 'o');
	exchange(arr, 7, 5);
	spin(arr, 6);
	exchange(arr, 3, 10);
	spin(arr, 7);
	exchange(arr, 5, 8);
	spin(arr, 4);
	partner(arr, 'a', 'm');
	exchange(arr, 6, 13);
	partner(arr, 'k', 'l');
	exchange(arr, 7, 11);
	spin(arr, 13);
	exchange(arr, 14, 4);
	spin(arr, 12);
	exchange(arr, 3, 15);
	partner(arr, 'o', 'e');
	exchange(arr, 6, 9);
	spin(arr, 3);
	exchange(arr, 11, 8);
	spin(arr, 14);
	exchange(arr, 7, 5);
	spin(arr, 13);
	exchange(arr, 8, 1);
	partner(arr, 'f', 'i');
	exchange(arr, 3, 15);
	spin(arr, 4);
	exchange(arr, 12, 2);
	spin(arr, 10);
	exchange(arr, 7, 0);
	spin(arr, 9);
	exchange(arr, 15, 3);
	spin(arr, 2);
	exchange(arr, 8, 9);
	partner(arr, 'h', 'o');
	exchange(arr, 13, 12);
	partner(arr, 'i', 'l');
	exchange(arr, 11, 14);
	spin(arr, 9);
	exchange(arr, 15, 10);
	spin(arr, 8);
	exchange(arr, 3, 7);
	spin(arr, 7);
	exchange(arr, 13, 9);
	partner(arr, 'k', 'p');
	exchange(arr, 1, 10);
	spin(arr, 1);
	partner(arr, 'f', 'c');
	exchange(arr, 12, 2);
	spin(arr, 2);
	exchange(arr, 9, 11);
	spin(arr, 4);
	exchange(arr, 14, 13);
	partner(arr, 'b', 'h');
	exchange(arr, 9, 1);
	spin(arr, 12);
	exchange(arr, 15, 7);
	spin(arr, 10);
	exchange(arr, 10, 9);
	spin(arr, 4);
	exchange(arr, 4, 12);
	partner(arr, 'k', 'o');
	exchange(arr, 10, 5);
	spin(arr, 3);
	exchange(arr, 4, 8);
	partner(arr, 'h', 'd');
	exchange(arr, 13, 14);
	partner(arr, 'o', 'l');
	exchange(arr, 10, 1);
	spin(arr, 12);
	exchange(arr, 0, 2);
	partner(arr, 'p', 'm');
	spin(arr, 12);
	exchange(arr, 1, 14);
	spin(arr, 13);
	exchange(arr, 7, 6);
	spin(arr, 1);
	exchange(arr, 2, 13);
	spin(arr, 6);
	exchange(arr, 9, 14);
	partner(arr, 'b', 'o');
	exchange(arr, 6, 5);
	partner(arr, 'l', 'j');
	exchange(arr, 11, 10);
	partner(arr, 'p', 'h');
	exchange(arr, 7, 5);
	partner(arr, 'o', 'j');
	exchange(arr, 14, 9);
	partner(arr, 'c', 'b');
	exchange(arr, 13, 10);
	spin(arr, 13);
	exchange(arr, 14, 1);
	spin(arr, 12);
	exchange(arr, 6, 0);
	spin(arr, 11);
	exchange(arr, 5, 1);
	spin(arr, 1);
	exchange(arr, 3, 7);
	spin(arr, 11);
	exchange(arr, 12, 8);
	spin(arr, 10);
	exchange(arr, 15, 1);
	partner(arr, 'o', 'i');
	exchange(arr, 0, 3);
	partner(arr, 'p', 'k');
	exchange(arr, 10, 12);
	partner(arr, 'm', 'h');
	spin(arr, 1);
	exchange(arr, 9, 8);
	spin(arr, 4);
	exchange(arr, 11, 0);
	spin(arr, 6);
	exchange(arr, 14, 2);
	spin(arr, 10);
	partner(arr, 'd', 'l');
	exchange(arr, 9, 10);
	spin(arr, 4);
	exchange(arr, 6, 12);
	spin(arr, 5);
	exchange(arr, 4, 2);
	spin(arr, 12);
	exchange(arr, 9, 0);
	spin(arr, 14);
	exchange(arr, 4, 13);
	partner(arr, 'c', 'b');
	exchange(arr, 10, 2);
	spin(arr, 8);
	exchange(arr, 6, 13);
	spin(arr, 4);
	partner(arr, 'i', 'p');
	exchange(arr, 0, 1);
	spin(arr, 12);
	partner(arr, 'f', 'a');
	exchange(arr, 7, 10);
	partner(arr, 'k', 'l');
	exchange(arr, 2, 9);
	partner(arr, 'n', 'o');
	exchange(arr, 13, 0);
	spin(arr, 8);
	exchange(arr, 14, 15);
	spin(arr, 8);
	exchange(arr, 2, 4);
	spin(arr, 12);
	exchange(arr, 1, 7);
	partner(arr, 'j', 'f');
	exchange(arr, 6, 11);
	partner(arr, 'c', 'o');
	exchange(arr, 1, 13);
	partner(arr, 'm', 'k');
	exchange(arr, 0, 4);
	spin(arr, 7);
	partner(arr, 'd', 'e');
	spin(arr, 5);
	exchange(arr, 9, 5);
	spin(arr, 15);
	exchange(arr, 4, 10);
	spin(arr, 12);
	exchange(arr, 8, 6);
	spin(arr, 6);
	exchange(arr, 1, 3);
	spin(arr, 7);
	partner(arr, 'c', 'i');
	spin(arr, 14);
	exchange(arr, 8, 6);
	spin(arr, 10);
	exchange(arr, 7, 12);
	partner(arr, 'd', 'f');
	exchange(arr, 2, 13);
	partner(arr, 'n', 'm');
	exchange(arr, 8, 7);
	partner(arr, 'o', 'b');
	exchange(arr, 4, 1);
	spin(arr, 11);
	exchange(arr, 13, 12);
	partner(arr, 'm', 'f');
	exchange(arr, 15, 9);
	spin(arr, 4);
	exchange(arr, 12, 10);
	spin(arr, 6);
	exchange(arr, 15, 8);
	spin(arr, 14);
	exchange(arr, 11, 7);
	partner(arr, 'j', 'c');
	exchange(arr, 2, 8);
	spin(arr, 9);
	exchange(arr, 14, 11);
	partner(arr, 'n', 'g');
	spin(arr, 12);
	exchange(arr, 15, 0);
	spin(arr, 1);
	exchange(arr, 2, 5);
	partner(arr, 'h', 'm');
	exchange(arr, 1, 3);
	spin(arr, 10);
	exchange(arr, 10, 7);
	partner(arr, 'd', 'i');
	exchange(arr, 13, 1);
	spin(arr, 15);
	exchange(arr, 12, 5);
	spin(arr, 13);
	exchange(arr, 4, 8);
	spin(arr, 2);
	exchange(arr, 6, 2);
	partner(arr, 'f', 'l');
	exchange(arr, 4, 5);
	spin(arr, 12);
	exchange(arr, 14, 0);
	partner(arr, 'a', 'h');
	exchange(arr, 8, 4);
	spin(arr, 15);
	exchange(arr, 15, 14);
	partner(arr, 'l', 'e');
	exchange(arr, 13, 9);
	spin(arr, 3);
	exchange(arr, 5, 4);
	spin(arr, 2);
	exchange(arr, 11, 0);
	spin(arr, 12);
	exchange(arr, 8, 15);
	partner(arr, 'o', 'n');
	exchange(arr, 5, 11);
	spin(arr, 12);
	exchange(arr, 2, 6);
	spin(arr, 2);
	exchange(arr, 0, 13);
	partner(arr, 'k', 'b');
	spin(arr, 2);
	exchange(arr, 11, 15);
	spin(arr, 15);
	exchange(arr, 9, 7);
	partner(arr, 'e', 'a');
	exchange(arr, 13, 11);
	spin(arr, 9);
	exchange(arr, 5, 1);
	spin(arr, 11);
	exchange(arr, 6, 10);
	partner(arr, 'c', 'm');
	exchange(arr, 7, 13);
	partner(arr, 'h', 'k');
	exchange(arr, 8, 15);
	partner(arr, 'b', 'o');
	exchange(arr, 4, 5);
	spin(arr, 6);
	exchange(arr, 13, 10);
	partner(arr, 'f', 'e');
	exchange(arr, 4, 12);
	spin(arr, 8);
	exchange(arr, 15, 3);
	spin(arr, 15);
	exchange(arr, 10, 11);
	spin(arr, 4);
	exchange(arr, 5, 14);
	spin(arr, 8);
	exchange(arr, 7, 4);
	partner(arr, 'a', 'h');
	exchange(arr, 5, 12);
	spin(arr, 4);
	exchange(arr, 15, 6);
	spin(arr, 14);
	exchange(arr, 0, 10);
	spin(arr, 9);
	exchange(arr, 8, 1);
	spin(arr, 9);
	exchange(arr, 6, 14);
	partner(arr, 'k', 'j');
	spin(arr, 14);
	exchange(arr, 13, 15);
	spin(arr, 3);
	exchange(arr, 9, 0);
	spin(arr, 12);
	partner(arr, 'm', 'c');
	exchange(arr, 14, 13);
	partner(arr, 'p', 'l');
	exchange(arr, 4, 10);
	partner(arr, 'f', 'b');
	spin(arr, 14);
	partner(arr, 'n', 'c');
	spin(arr, 7);
	exchange(arr, 3, 13);
	spin(arr, 6);
	exchange(arr, 2, 14);
	spin(arr, 15);
	exchange(arr, 10, 5);
	spin(arr, 13);
	exchange(arr, 6, 8);
	partner(arr, 'l', 'a');
	exchange(arr, 5, 14);
	spin(arr, 8);
	exchange(arr, 2, 3);
	spin(arr, 2);
	exchange(arr, 8, 12);
	spin(arr, 12);
	exchange(arr, 11, 2);
	partner(arr, 'b', 'n');
	spin(arr, 14);
	exchange(arr, 8, 13);
	spin(arr, 3);
	exchange(arr, 14, 1);
	spin(arr, 6);
	exchange(arr, 7, 15);
	spin(arr, 9);
	exchange(arr, 12, 11);
	spin(arr, 12);
	exchange(arr, 6, 10);
	spin(arr, 3);
	exchange(arr, 15, 4);
	spin(arr, 15);
	exchange(arr, 8, 3);
	spin(arr, 3);
	exchange(arr, 14, 4);
	partner(arr, 'c', 'l');
	exchange(arr, 6, 15);
	partner(arr, 'o', 'e');
	exchange(arr, 7, 2);
	partner(arr, 'j', 'h');
	exchange(arr, 11, 4);
	partner(arr, 'm', 'l');
	exchange(arr, 15, 3);
	partner(arr, 'd', 'b');
	exchange(arr, 10, 9);
	spin(arr, 7);
	exchange(arr, 13, 0);
	spin(arr, 6);
	exchange(arr, 9, 2);
	spin(arr, 2);
	exchange(arr, 4, 14);
	spin(arr, 13);
	exchange(arr, 8, 13);
	spin(arr, 6);
	exchange(arr, 6, 11);
	partner(arr, 'k', 'i');
	exchange(arr, 3, 15);
	spin(arr, 4);
	exchange(arr, 9, 14);
	partner(arr, 'b', 'f');
	exchange(arr, 15, 12);
	partner(arr, 'd', 'a');
	exchange(arr, 10, 3);
	partner(arr, 'f', 'o');
	exchange(arr, 2, 12);
	spin(arr, 3);
	exchange(arr, 9, 14);
	partner(arr, 'a', 'n');
	spin(arr, 2);
	exchange(arr, 0, 2);
	partner(arr, 'b', 'i');
	exchange(arr, 11, 7);
	partner(arr, 'j', 'a');
	exchange(arr, 8, 9);
	spin(arr, 11);
	exchange(arr, 4, 6);
	spin(arr, 5);
	exchange(arr, 15, 3);
	spin(arr, 14);
	partner(arr, 'f', 'e');
	exchange(arr, 10, 8);
	partner(arr, 'k', 'l');
	spin(arr, 13);
	exchange(arr, 6, 5);
	spin(arr, 4);
	exchange(arr, 10, 7);
	spin(arr, 5);
	exchange(arr, 5, 0);
	spin(arr, 9);
	partner(arr, 'b', 'i');
	spin(arr, 13);
	exchange(arr, 7, 15);
	spin(arr, 13);
	exchange(arr, 0, 6);
	spin(arr, 13);
	exchange(arr, 11, 15);
	partner(arr, 'g', 'h');
	exchange(arr, 8, 4);
	spin(arr, 10);
	exchange(arr, 0, 1);
	spin(arr, 8);
	exchange(arr, 12, 7);
	spin(arr, 6);
	exchange(arr, 11, 14);
	partner(arr, 'f', 'i');
	exchange(arr, 13, 5);
	spin(arr, 2);
	exchange(arr, 12, 10);
	spin(arr, 8);
	exchange(arr, 15, 5);
	partner(arr, 'a', 'e');
	spin(arr, 11);
	exchange(arr, 3, 2);
	partner(arr, 'o', 'f');
	exchange(arr, 11, 12);
	spin(arr, 3);
	exchange(arr, 0, 5);
	partner(arr, 'a', 'd');
	exchange(arr, 8, 14);
	spin(arr, 6);
	exchange(arr, 15, 13);
	partner(arr, 'p', 'f');
	exchange(arr, 10, 7);
	partner(arr, 'c', 'm');
	exchange(arr, 14, 6);
	partner(arr, 'o', 'k');
	exchange(arr, 1, 7);
	spin(arr, 8);
	exchange(arr, 5, 3);
	partner(arr, 'g', 'f');
	exchange(arr, 15, 0);
	spin(arr, 2);
	exchange(arr, 2, 8);
	spin(arr, 4);
	partner(arr, 'i', 'p');
	exchange(arr, 7, 10);
	partner(arr, 'd', 'h');
	exchange(arr, 13, 4);
	partner(arr, 'k', 'n');
	exchange(arr, 0, 8);
	partner(arr, 'm', 'e');
	spin(arr, 1);
	exchange(arr, 15, 3);
	spin(arr, 2);
	exchange(arr, 1, 10);
	spin(arr, 8);
	exchange(arr, 4, 5);
	partner(arr, 'f', 'l');
	exchange(arr, 6, 0);
	spin(arr, 14);
	exchange(arr, 8, 11);
	spin(arr, 3);
	partner(arr, 'h', 'b');
	spin(arr, 12);
	exchange(arr, 2, 1);
	spin(arr, 10);
	exchange(arr, 11, 15);
	spin(arr, 5);
	exchange(arr, 8, 6);
	spin(arr, 2);
	exchange(arr, 7, 10);
	partner(arr, 'n', 'i');
	exchange(arr, 0, 5);
	spin(arr, 4);
	exchange(arr, 1, 14);
	partner(arr, 'p', 'o');
	spin(arr, 7);
	exchange(arr, 10, 13);
	spin(arr, 13);
	exchange(arr, 6, 5);
	partner(arr, 'i', 'm');
	exchange(arr, 10, 11);
	partner(arr, 'n', 'j');
	exchange(arr, 9, 12);
	spin(arr, 9);
	exchange(arr, 11, 0);
	partner(arr, 'd', 'e');
	exchange(arr, 7, 2);
	partner(arr, 'm', 'j');
	exchange(arr, 0, 5);
	partner(arr, 'g', 'i');
	exchange(arr, 15, 8);
	partner(arr, 'e', 'a');
	exchange(arr, 11, 9);
	spin(arr, 11);
	exchange(arr, 2, 7);
	spin(arr, 15);
	exchange(arr, 8, 15);
	partner(arr, 'n', 'c');
	exchange(arr, 0, 1);
	partner(arr, 'd', 'o');
	exchange(arr, 14, 8);
	spin(arr, 3);
	exchange(arr, 7, 2);
	partner(arr, 'l', 'n');
	exchange(arr, 4, 3);
	partner(arr, 'a', 'p');
	exchange(arr, 11, 1);
	spin(arr, 4);
	exchange(arr, 10, 9);
	spin(arr, 8);
	exchange(arr, 15, 1);
	partner(arr, 'b', 'o');
	exchange(arr, 12, 9);
	partner(arr, 'i', 'f');
	exchange(arr, 10, 0);
	spin(arr, 5);
	exchange(arr, 8, 1);
	spin(arr, 15);
	exchange(arr, 6, 0);
	partner(arr, 'n', 'j');
	exchange(arr, 8, 12);
	spin(arr, 2);
	exchange(arr, 6, 0);
	partner(arr, 'a', 'b');
	spin(arr, 6);
	exchange(arr, 15, 8);
	spin(arr, 4);
	exchange(arr, 4, 9);
	partner(arr, 'p', 'k');
	exchange(arr, 1, 0);
	spin(arr, 15);
	exchange(arr, 14, 4);
	partner(arr, 'a', 'n');
	exchange(arr, 9, 13);
	partner(arr, 'j', 'e');
	exchange(arr, 12, 5);
	partner(arr, 'k', 'l');
	exchange(arr, 7, 11);
	partner(arr, 'e', 'j');
	exchange(arr, 12, 8);
	spin(arr, 8);
	exchange(arr, 9, 5);
	partner(arr, 'k', 'n');
	exchange(arr, 15, 7);
	partner(arr, 'g', 'd');
	spin(arr, 4);
	exchange(arr, 10, 13);
	partner(arr, 'k', 'o');
	exchange(arr, 0, 5);
	partner(arr, 'e', 'b');
	spin(arr, 3);
	exchange(arr, 2, 10);
	partner(arr, 'a', 'i');
	exchange(arr, 15, 0);
	partner(arr, 'l', 'k');
	exchange(arr, 14, 9);
	partner(arr, 'h', 'a');
	exchange(arr, 6, 12);
	spin(arr, 13);
	partner(arr, 'g', 'l');
	exchange(arr, 11, 14);
	spin(arr, 15);
	exchange(arr, 1, 7);
	spin(arr, 4);
	exchange(arr, 12, 6);
	spin(arr, 5);
	exchange(arr, 0, 11);
	partner(arr, 'b', 'k');
	exchange(arr, 8, 10);
	spin(arr, 1);
	exchange(arr, 11, 6);
	partner(arr, 'l', 'g');
	spin(arr, 4);
	exchange(arr, 13, 9);
	partner(arr, 'p', 'm');
	exchange(arr, 11, 14);
	partner(arr, 'e', 'g');
	exchange(arr, 9, 10);
	partner(arr, 'h', 'a');
	exchange(arr, 4, 1);
	spin(arr, 5);
	exchange(arr, 2, 8);
	spin(arr, 10);
	exchange(arr, 3, 11);
	spin(arr, 15);
	exchange(arr, 9, 10);
	partner(arr, 'k', 'm');
	exchange(arr, 8, 12);
	partner(arr, 'o', 'i');
	exchange(arr, 15, 1);
	partner(arr, 'n', 'm');
	exchange(arr, 7, 10);
	partner(arr, 'j', 'a');
	exchange(arr, 3, 13);
	spin(arr, 9);
	exchange(arr, 1, 12);
	partner(arr, 'c', 'm');
	exchange(arr, 13, 4);
	partner(arr, 'o', 'd');
	exchange(arr, 12, 7);
	spin(arr, 10);
	exchange(arr, 10, 6);
	spin(arr, 1);
	exchange(arr, 14, 8);
	spin(arr, 1);
	exchange(arr, 12, 1);
	spin(arr, 9);
	partner(arr, 'e', 'h');
	exchange(arr, 0, 14);
	spin(arr, 1);
	exchange(arr, 9, 13);
	partner(arr, 'm', 'g');
	exchange(arr, 8, 15);
	partner(arr, 'i', 'j');
	spin(arr, 7);
	exchange(arr, 6, 4);
	spin(arr, 10);
	exchange(arr, 3, 5);
	partner(arr, 'l', 'b');
	exchange(arr, 12, 7);
	partner(arr, 'i', 'c');
	exchange(arr, 13, 11);
	spin(arr, 1);
	exchange(arr, 3, 10);
	partner(arr, 'a', 'b');
	exchange(arr, 6, 8);
	spin(arr, 12);
	exchange(arr, 4, 10);
	partner(arr, 'i', 'j');
	exchange(arr, 3, 11);
	spin(arr, 8);
	exchange(arr, 7, 6);
	partner(arr, 'h', 'g');
	exchange(arr, 9, 2);
	spin(arr, 6);
	exchange(arr, 4, 0);
	spin(arr, 2);
	exchange(arr, 12, 11);
	spin(arr, 12);
	exchange(arr, 8, 1);
	spin(arr, 13);
	exchange(arr, 14, 5);
	spin(arr, 2);
	partner(arr, 'i', 'l');
	exchange(arr, 0, 12);
	partner(arr, 'n', 'g');
	exchange(arr, 1, 11);
	partner(arr, 'b', 'e');
	exchange(arr, 2, 13);
	spin(arr, 11);
	exchange(arr, 7, 0);
	partner(arr, 'p', 'f');
	exchange(arr, 5, 6);
	spin(arr, 6);
	exchange(arr, 7, 9);
	spin(arr, 3);
	exchange(arr, 1, 3);
	spin(arr, 14);
	exchange(arr, 10, 14);
	spin(arr, 5);
	partner(arr, 'i', 'c');
	exchange(arr, 0, 1);
	spin(arr, 5);
	partner(arr, 'k', 'j');
	exchange(arr, 10, 14);
	partner(arr, 'f', 'o');
	exchange(arr, 11, 2);
	partner(arr, 'l', 'j');
	exchange(arr, 13, 5);
	spin(arr, 14);
	exchange(arr, 12, 3);
	spin(arr, 1);
	partner(arr, 'p', 'e');
	exchange(arr, 8, 9);
	spin(arr, 2);
	exchange(arr, 6, 4);
	partner(arr, 'g', 'k');
	exchange(arr, 9, 7);
	spin(arr, 4);
	exchange(arr, 15, 4);
	spin(arr, 14);
	exchange(arr, 7, 3);
	spin(arr, 3);
	exchange(arr, 5, 0);
	spin(arr, 13);
	exchange(arr, 8, 3);
	spin(arr, 4);
	exchange(arr, 5, 10);
	spin(arr, 8);
	exchange(arr, 9, 4);
	spin(arr, 14);
	exchange(arr, 10, 0);
	partner(arr, 'h', 'b');
	exchange(arr, 13, 14);
	partner(arr, 'l', 'c');
	exchange(arr, 8, 0);
	partner(arr, 'j', 'e');
	spin(arr, 15);
	exchange(arr, 7, 13);
	spin(arr, 10);
	exchange(arr, 12, 0);
	spin(arr, 12);
	exchange(arr, 15, 1);
	spin(arr, 2);
	exchange(arr, 4, 13);
	partner(arr, 'd', 'f');
	exchange(arr, 15, 11);
	spin(arr, 9);
	partner(arr, 'i', 'b');
	exchange(arr, 6, 3);
	spin(arr, 12);
	exchange(arr, 7, 12);
	spin(arr, 13);
	exchange(arr, 15, 9);
	spin(arr, 6);
	exchange(arr, 3, 1);
	spin(arr, 6);
	exchange(arr, 4, 13);
	partner(arr, 'a', 'c');
	exchange(arr, 3, 15);
	spin(arr, 4);
	exchange(arr, 4, 0);
	spin(arr, 10);
	exchange(arr, 9, 6);
	partner(arr, 'i', 'p');
	exchange(arr, 7, 0);
	spin(arr, 6);
	exchange(arr, 11, 8);
	spin(arr, 10);
	exchange(arr, 13, 3);
	spin(arr, 3);
	exchange(arr, 0, 6);
	spin(arr, 5);
	partner(arr, 'n', 'e');
	exchange(arr, 11, 12);
	partner(arr, 'm', 'c');
	exchange(arr, 2, 7);
	partner(arr, 'n', 'k');
	spin(arr, 8);
	exchange(arr, 4, 13);
	partner(arr, 'i', 'f');
	exchange(arr, 11, 10);
	spin(arr, 2);
	exchange(arr, 4, 3);
	spin(arr, 12);
	exchange(arr, 13, 5);
	spin(arr, 9);
	exchange(arr, 3, 14);
	spin(arr, 7);
	partner(arr, 'e', 'l');
	exchange(arr, 0, 7);
	spin(arr, 5);
	exchange(arr, 9, 14);
	partner(arr, 'm', 'c');
	exchange(arr, 6, 10);
	spin(arr, 2);
	exchange(arr, 0, 14);
	partner(arr, 'a', 'n');
	exchange(arr, 7, 2);
	partner(arr, 'b', 'h');
	exchange(arr, 12, 6);
	partner(arr, 'c', 'p');
	exchange(arr, 10, 7);
	partner(arr, 'h', 'e');
	exchange(arr, 14, 3);
	spin(arr, 1);
	exchange(arr, 4, 9);
	spin(arr, 11);
	exchange(arr, 15, 7);
	partner(arr, 'f', 'c');
	exchange(arr, 6, 13);
	spin(arr, 3);
	exchange(arr, 12, 3);
	partner(arr, 'k', 'm');
	spin(arr, 7);
	exchange(arr, 4, 6);
	spin(arr, 10);
	exchange(arr, 0, 2);
	spin(arr, 2);
	exchange(arr, 15, 11);
	spin(arr, 14);
	exchange(arr, 3, 6);
	spin(arr, 14);
	exchange(arr, 12, 0);
	spin(arr, 14);
	exchange(arr, 15, 8);
	spin(arr, 2);
	exchange(arr, 10, 7);
	partner(arr, 'o', 'a');
	exchange(arr, 4, 2);
	partner(arr, 'd', 'k');
	exchange(arr, 10, 13);
	spin(arr, 3);
	exchange(arr, 8, 4);
	spin(arr, 7);
	exchange(arr, 7, 1);
	partner(arr, 'c', 'i');
	exchange(arr, 3, 2);
	spin(arr, 2);
	exchange(arr, 14, 15);
	spin(arr, 3);
	exchange(arr, 1, 0);
	spin(arr, 14);
	exchange(arr, 4, 12);
	spin(arr, 2);
	exchange(arr, 3, 6);
	partner(arr, 'o', 'p');
	spin(arr, 11);
	exchange(arr, 14, 2);
	spin(arr, 10);
	exchange(arr, 1, 13);
	partner(arr, 'b', 'i');
	exchange(arr, 15, 3);
	partner(arr, 'o', 'd');
	exchange(arr, 2, 8);
	partner(arr, 'a', 'h');
	exchange(arr, 4, 9);
	spin(arr, 2);
	exchange(arr, 3, 10);
	partner(arr, 'j', 'g');
	exchange(arr, 7, 15);
	partner(arr, 'a', 'o');
	exchange(arr, 11, 0);
	partner(arr, 'd', 'm');
	exchange(arr, 7, 6);
	partner(arr, 'g', 'l');
	exchange(arr, 10, 8);
	partner(arr, 'o', 'c');
	exchange(arr, 15, 5);
	partner(arr, 'g', 'p');
	spin(arr, 11);
	exchange(arr, 12, 0);
	spin(arr, 14);
	exchange(arr, 9, 6);
	spin(arr, 12);
	exchange(arr, 1, 8);
	spin(arr, 6);
	exchange(arr, 5, 6);
	partner(arr, 'k', 'h');
	exchange(arr, 9, 7);
	partner(arr, 'l', 'e');
	exchange(arr, 6, 3);
	spin(arr, 5);
	exchange(arr, 10, 5);
	spin(arr, 11);
	exchange(arr, 14, 13);
	partner(arr, 'j', 'm');
	exchange(arr, 2, 11);
	spin(arr, 14);
	exchange(arr, 5, 14);
	spin(arr, 12);
	exchange(arr, 10, 9);
	partner(arr, 'k', 'g');
	exchange(arr, 13, 12);
	spin(arr, 7);
	exchange(arr, 11, 6);
	spin(arr, 9);
	exchange(arr, 7, 14);
	partner(arr, 'c', 'n');
	spin(arr, 5);
	exchange(arr, 0, 9);
	partner(arr, 'a', 'e');
	spin(arr, 2);
	exchange(arr, 10, 1);
	spin(arr, 12);
	exchange(arr, 2, 5);
	partner(arr, 'o', 'j');
	exchange(arr, 8, 6);
	spin(arr, 4);
	exchange(arr, 11, 1);
	partner(arr, 'a', 'm');
	exchange(arr, 9, 4);
	spin(arr, 14);
	exchange(arr, 14, 1);
	partner(arr, 'h', 'n');
	exchange(arr, 15, 10);
	spin(arr, 2);
	exchange(arr, 1, 8);
	partner(arr, 'd', 'g');
	exchange(arr, 5, 4);
	partner(arr, 'f', 'l');
	exchange(arr, 12, 7);
	spin(arr, 14);
	exchange(arr, 9, 5);
	partner(arr, 'k', 'g');
	spin(arr, 1);
	exchange(arr, 10, 14);
	spin(arr, 8);
	exchange(arr, 4, 13);
	partner(arr, 'a', 'j');
	exchange(arr, 12, 0);
	spin(arr, 10);
	exchange(arr, 8, 3);
	spin(arr, 10);
	exchange(arr, 9, 11);
	spin(arr, 8);
	exchange(arr, 10, 2);
	partner(arr, 'g', 'k');
	spin(arr, 1);
	exchange(arr, 13, 11);
	spin(arr, 1);
	exchange(arr, 5, 7);
	spin(arr, 1);
	exchange(arr, 2, 15);
	partner(arr, 'd', 'n');
	exchange(arr, 13, 3);
	partner(arr, 'b', 'j');
	exchange(arr, 4, 12);
	spin(arr, 10);
	partner(arr, 'f', 'a');
	spin(arr, 6);
	exchange(arr, 5, 15);
	spin(arr, 5);
	partner(arr, 'g', 'p');
	exchange(arr, 10, 14);
	spin(arr, 5);
	exchange(arr, 4, 7);
	partner(arr, 'm', 'l');
	exchange(arr, 14, 0);
	spin(arr, 3);
	exchange(arr, 2, 9);
	partner(arr, 'n', 'd');
	exchange(arr, 7, 0);
	spin(arr, 4);
	exchange(arr, 15, 3);
	spin(arr, 3);
	exchange(arr, 6, 2);
	partner(arr, 'i', 'p');
	spin(arr, 15);
	exchange(arr, 7, 8);
	partner(arr, 'o', 'l');
	exchange(arr, 4, 2);
	spin(arr, 3);
	exchange(arr, 3, 10);
	spin(arr, 12);
	exchange(arr, 1, 9);
	spin(arr, 3);
	exchange(arr, 12, 15);
	partner(arr, 'k', 'h');
	spin(arr, 15);
	exchange(arr, 1, 0);
	spin(arr, 7);
	partner(arr, 'd', 'a');
	spin(arr, 4);
	exchange(arr, 11, 3);
	spin(arr, 11);
	exchange(arr, 8, 2);
	spin(arr, 9);
	exchange(arr, 0, 13);
	partner(arr, 'j', 'f');
	exchange(arr, 2, 14);
	spin(arr, 11);
	exchange(arr, 9, 12);
	spin(arr, 2);
	exchange(arr, 3, 7);
	spin(arr, 3);
	exchange(arr, 14, 1);
	spin(arr, 1);
	exchange(arr, 3, 8);
	partner(arr, 'p', 'm');
	spin(arr, 3);
	exchange(arr, 1, 5);
	partner(arr, 'n', 'e');
	exchange(arr, 0, 6);
	spin(arr, 13);
	exchange(arr, 13, 1);
	partner(arr, 'k', 'j');
	exchange(arr, 14, 12);
	spin(arr, 5);
	partner(arr, 'd', 'e');
	exchange(arr, 1, 9);
	spin(arr, 11);
	exchange(arr, 6, 10);
	spin(arr, 4);
	exchange(arr, 3, 8);
	spin(arr, 8);
	exchange(arr, 7, 0);
	spin(arr, 7);
	exchange(arr, 5, 15);
	spin(arr, 4);
	exchange(arr, 8, 2);
	spin(arr, 6);
	partner(arr, 'p', 'b');
	exchange(arr, 10, 0);
	spin(arr, 4);
	exchange(arr, 4, 12);
	spin(arr, 5);
	exchange(arr, 13, 9);
	spin(arr, 13);
	exchange(arr, 6, 12);
	partner(arr, 'g', 'f');
	exchange(arr, 4, 9);
	partner(arr, 'h', 'k');
	exchange(arr, 1, 12);
	spin(arr, 2);
	partner(arr, 'l', 'm');
	exchange(arr, 7, 5);
	spin(arr, 9);
	exchange(arr, 10, 15);
	partner(arr, 'o', 'c');
	exchange(arr, 9, 14);
	spin(arr, 13);
	exchange(arr, 15, 4);
	spin(arr, 14);
	exchange(arr, 3, 12);
	spin(arr, 10);
	exchange(arr, 10, 8);
	partner(arr, 'k', 'd');
	exchange(arr, 3, 9);
	partner(arr, 'l', 'j');
	exchange(arr, 2, 10);
	spin(arr, 8);
	partner(arr, 'a', 'f');
	exchange(arr, 6, 0);
	spin(arr, 10);
	exchange(arr, 1, 4);
	spin(arr, 13);
	partner(arr, 'b', 'l');
	exchange(arr, 3, 2);
	partner(arr, 'm', 'p');
	exchange(arr, 7, 11);
	spin(arr, 12);
	partner(arr, 'l', 'h');
	exchange(arr, 13, 6);
	spin(arr, 14);
	exchange(arr, 11, 3);
	partner(arr, 'e', 'n');
	exchange(arr, 14, 12);
	spin(arr, 6);
	exchange(arr, 13, 4);
	spin(arr, 3);
	exchange(arr, 12, 7);
	spin(arr, 6);
	exchange(arr, 0, 8);
	spin(arr, 1);
	exchange(arr, 2, 10);
	spin(arr, 3);
	exchange(arr, 7, 9);
	partner(arr, 'f', 'o');
	spin(arr, 6);
	exchange(arr, 4, 15);
	partner(arr, 'i', 'a');
	exchange(arr, 0, 11);
	spin(arr, 3);
	exchange(arr, 7, 14);
	partner(arr, 'h', 'b');
	exchange(arr, 12, 0);
	spin(arr, 12);
	exchange(arr, 15, 6);
	spin(arr, 8);
	partner(arr, 'l', 'o');
	exchange(arr, 2, 13);
	partner(arr, 'j', 'k');
	exchange(arr, 1, 8);
	spin(arr, 10);
	partner(arr, 'a', 'm');
	exchange(arr, 13, 12);
	spin(arr, 2);
	exchange(arr, 5, 9);
	partner(arr, 'd', 'n');
	exchange(arr, 6, 15);
	spin(arr, 8);
	exchange(arr, 13, 8);
	partner(arr, 'e', 'a');
	exchange(arr, 1, 10);
	partner(arr, 'k', 'j');
	exchange(arr, 15, 2);
	spin(arr, 15);
	exchange(arr, 4, 7);
	partner(arr, 'o', 'd');
	exchange(arr, 3, 6);
	spin(arr, 9);
	exchange(arr, 2, 9);
	spin(arr, 5);
	exchange(arr, 4, 1);
	spin(arr, 6);
	exchange(arr, 2, 14);
	spin(arr, 9);
	exchange(arr, 5, 10);
	spin(arr, 6);
	exchange(arr, 13, 7);
	spin(arr, 3);
	exchange(arr, 14, 1);
	partner(arr, 'a', 'i');
	exchange(arr, 11, 0);
	partner(arr, 'b', 'g');
	exchange(arr, 3, 6);
	spin(arr, 3);
	exchange(arr, 8, 4);
	spin(arr, 3);
	exchange(arr, 15, 0);
	partner(arr, 'c', 'o');
	spin(arr, 6);
	exchange(arr, 14, 6);
	spin(arr, 5);
	exchange(arr, 11, 5);
	spin(arr, 12);
	exchange(arr, 4, 13);
	spin(arr, 15);
	exchange(arr, 10, 1);
	spin(arr, 2);
	exchange(arr, 14, 7);
	partner(arr, 'p', 'k');
	exchange(arr, 1, 4);
	partner(arr, 'l', 'f');
	exchange(arr, 5, 13);
	partner(arr, 'b', 'p');
	exchange(arr, 0, 14);
	spin(arr, 8);
	exchange(arr, 15, 5);
	spin(arr, 8);
	exchange(arr, 11, 3);
	spin(arr, 4);
	exchange(arr, 15, 12);
	partner(arr, 'n', 'f');
	exchange(arr, 6, 2);
	partner(arr, 'e', 'p');
	exchange(arr, 7, 1);
	spin(arr, 14);
	partner(arr, 'n', 'a');
	spin(arr, 4);
	exchange(arr, 13, 6);
	partner(arr, 'f', 'd');
	spin(arr, 1);
	exchange(arr, 10, 11);
	spin(arr, 2);
	partner(arr, 'g', 'i');
	exchange(arr, 13, 15);
	spin(arr, 4);
	exchange(arr, 5, 9);
	spin(arr, 4);
	exchange(arr, 3, 7);
	spin(arr, 6);
	exchange(arr, 12, 0);
	spin(arr, 12);
	exchange(arr, 6, 1);
	partner(arr, 'a', 'd');
	exchange(arr, 15, 14);
	partner(arr, 'f', 'n');
	exchange(arr, 2, 6);
	partner(arr, 'j', 'c');
	exchange(arr, 4, 12);
	spin(arr, 5);
	exchange(arr, 8, 5);
	spin(arr, 15);
	exchange(arr, 11, 6);
	spin(arr, 10);
	partner(arr, 'p', 'h');
	exchange(arr, 9, 1);
	partner(arr, 'b', 'n');
	exchange(arr, 14, 13);
	spin(arr, 2);
	exchange(arr, 2, 0);
	spin(arr, 11);
	exchange(arr, 14, 8);
	partner(arr, 'f', 'm');
	exchange(arr, 15, 1);
	partner(arr, 'j', 'n');
	exchange(arr, 2, 14);
	spin(arr, 1);
	exchange(arr, 5, 6);
	partner(arr, 'd', 'b');
	spin(arr, 3);
	exchange(arr, 0, 2);
	partner(arr, 'n', 'o');
	exchange(arr, 1, 8);
	spin(arr, 2);
	exchange(arr, 11, 3);
	spin(arr, 10);
	exchange(arr, 2, 14);
	spin(arr, 12);
	exchange(arr, 8, 4);
	spin(arr, 9);
	exchange(arr, 13, 7);
	spin(arr, 2);
	exchange(arr, 3, 9);
	spin(arr, 2);
	exchange(arr, 4, 8);
	partner(arr, 'k', 'm');
	spin(arr, 15);
	exchange(arr, 6, 1);
	spin(arr, 8);
	exchange(arr, 10, 9);
	spin(arr, 6);
	exchange(arr, 8, 14);
	partner(arr, 'f', 'p');
	exchange(arr, 4, 9);
	spin(arr, 6);
	exchange(arr, 7, 13);
	partner(arr, 'i', 'a');
	exchange(arr, 0, 9);
	spin(arr, 15);
	exchange(arr, 12, 2);
	spin(arr, 4);
	exchange(arr, 4, 7);
	partner(arr, 'j', 'o');
	exchange(arr, 12, 3);
	spin(arr, 10);
	exchange(arr, 2, 5);
	partner(arr, 'a', 'm');
	exchange(arr, 12, 0);
	partner(arr, 'n', 'd');
	exchange(arr, 14, 15);
	partner(arr, 'c', 'o');
	spin(arr, 15);
	exchange(arr, 12, 10);
	partner(arr, 'd', 'j');
	exchange(arr, 2, 9);
	spin(arr, 11);
	exchange(arr, 4, 11);
	spin(arr, 13);
	exchange(arr, 10, 0);
	spin(arr, 13);
	exchange(arr, 13, 7);
	partner(arr, 'e', 'i');
	exchange(arr, 15, 0);
	spin(arr, 5);
	partner(arr, 'l', 'k');
	exchange(arr, 10, 3);
	spin(arr, 2);
	exchange(arr, 7, 1);
	spin(arr, 14);
	exchange(arr, 9, 12);
	partner(arr, 'f', 'a');
	spin(arr, 5);
	exchange(arr, 6, 2);
	spin(arr, 5);
	exchange(arr, 15, 10);
	spin(arr, 10);
	exchange(arr, 4, 3);
	spin(arr, 8);
	exchange(arr, 5, 12);
	partner(arr, 'n', 'd');
	spin(arr, 5);
	exchange(arr, 4, 13);
	spin(arr, 1);
	exchange(arr, 1, 8);
	spin(arr, 11);
	exchange(arr, 4, 5);
	spin(arr, 10);
	exchange(arr, 6, 13);
	partner(arr, 'e', 'g');
	exchange(arr, 10, 9);
	spin(arr, 13);
	exchange(arr, 7, 12);
	partner(arr, 'l', 'o');
	exchange(arr, 0, 4);
	spin(arr, 1);
	exchange(arr, 3, 2);
	spin(arr, 15);
	exchange(arr, 8, 0);
	spin(arr, 15);
	exchange(arr, 13, 11);
	partner(arr, 'j', 'e');
	exchange(arr, 10, 9);
	partner(arr, 'g', 'h');
	exchange(arr, 5, 8);
	partner(arr, 'p', 'f');
	exchange(arr, 10, 12);
	spin(arr, 2);
	exchange(arr, 1, 9);
	partner(arr, 'k', 'j');
	exchange(arr, 8, 2);
	partner(arr, 'f', 'a');
	exchange(arr, 12, 9);
	spin(arr, 10);
	exchange(arr, 6, 3);
	partner(arr, 'd', 'j');
	exchange(arr, 11, 0);
	partner(arr, 'f', 'c');
	exchange(arr, 8, 10);
	spin(arr, 15);
	exchange(arr, 15, 11);
	spin(arr, 7);
	exchange(arr, 1, 8);
	spin(arr, 12);
	exchange(arr, 9, 2);
	partner(arr, 'n', 'o');
	exchange(arr, 10, 11);
	spin(arr, 12);
	partner(arr, 'd', 'h');
	exchange(arr, 13, 6);
	partner(arr, 'j', 'k');
	spin(arr, 6);
	exchange(arr, 15, 3);
	partner(arr, 'h', 'g');
	exchange(arr, 8, 6);
	spin(arr, 15);
	partner(arr, 'e', 'f');
	exchange(arr, 3, 14);
	partner(arr, 'l', 'c');
	exchange(arr, 4, 1);
	partner(arr, 'j', 'h');
	exchange(arr, 0, 13);
	spin(arr, 4);
	exchange(arr, 6, 7);
	partner(arr, 'l', 'b');
	spin(arr, 14);
	exchange(arr, 13, 12);
	spin(arr, 2);
	exchange(arr, 14, 5);
	spin(arr, 12);
	exchange(arr, 0, 3);
	partner(arr, 'g', 'm');
	exchange(arr, 13, 1);
	spin(arr, 7);
	exchange(arr, 0, 15);
	spin(arr, 15);
	exchange(arr, 3, 13);
	spin(arr, 9);
	exchange(arr, 4, 2);
	spin(arr, 6);
	exchange(arr, 6, 12);
	spin(arr, 3);
	exchange(arr, 9, 14);
	spin(arr, 11);
	exchange(arr, 2, 11);
	spin(arr, 1);
	exchange(arr, 7, 12);
	partner(arr, 'c', 'k');
	exchange(arr, 8, 5);
	spin(arr, 11);
	partner(arr, 'm', 'p');
	spin(arr, 12);
	exchange(arr, 1, 0);
	spin(arr, 11);
	exchange(arr, 12, 14);
	spin(arr, 8);
	exchange(arr, 7, 10);
	spin(arr, 6);
	exchange(arr, 4, 0);
	partner(arr, 'j', 'f');
	exchange(arr, 8, 10);
	spin(arr, 6);
	partner(arr, 'k', 'd');
	spin(arr, 4);
	exchange(arr, 7, 4);
	spin(arr, 1);
	exchange(arr, 6, 3);
	spin(arr, 8);
	exchange(arr, 4, 5);
	spin(arr, 9);
	exchange(arr, 13, 1);
	partner(arr, 'i', 'p');
	spin(arr, 15);
	exchange(arr, 2, 8);
	partner(arr, 'o', 'd');
	exchange(arr, 3, 14);
	partner(arr, 'n', 'k');
	exchange(arr, 8, 11);
	spin(arr, 2);
	exchange(arr, 15, 2);
	partner(arr, 'o', 'h');
	exchange(arr, 6, 4);
	spin(arr, 6);
	exchange(arr, 12, 0);
	spin(arr, 14);
	exchange(arr, 2, 7);
	partner(arr, 'c', 'e');
	exchange(arr, 10, 6);
	spin(arr, 3);
	exchange(arr, 14, 11);
	partner(arr, 'm', 'h');
	exchange(arr, 6, 15);
	partner(arr, 'f', 'l');
	spin(arr, 3);
	exchange(arr, 11, 0);
	spin(arr, 12);
	exchange(arr, 3, 1);
	spin(arr, 9);
	exchange(arr, 13, 4);
	spin(arr, 9);
	exchange(arr, 0, 11);
	spin(arr, 9);
	exchange(arr, 9, 8);
	spin(arr, 6);
	partner(arr, 'o', 'i');
	exchange(arr, 13, 14);
	partner(arr, 'a', 'c');
	exchange(arr, 2, 3);
	spin(arr, 7);
	exchange(arr, 15, 8);
	spin(arr, 8);
	exchange(arr, 14, 10);
	spin(arr, 5);
	exchange(arr, 0, 13);
	spin(arr, 11);
	exchange(arr, 11, 8);
	partner(arr, 'b', 'd');
	exchange(arr, 1, 5);
	spin(arr, 6);
	exchange(arr, 2, 8);
	spin(arr, 2);
	exchange(arr, 13, 4);
	partner(arr, 'o', 'f');
	exchange(arr, 7, 10);
	partner(arr, 'k', 'g');
	exchange(arr, 0, 9);
	spin(arr, 5);
	exchange(arr, 8, 2);
	spin(arr, 6);
	exchange(arr, 11, 12);
	spin(arr, 1);
	exchange(arr, 10, 14);
	spin(arr, 4);
	exchange(arr, 11, 3);
	spin(arr, 5);
	exchange(arr, 13, 1);
	spin(arr, 14);
	exchange(arr, 2, 5);
	spin(arr, 15);
	exchange(arr, 1, 15);
	spin(arr, 9);
	exchange(arr, 14, 7);
	spin(arr, 12);
	exchange(arr, 0, 13);
	spin(arr, 3);
	exchange(arr, 6, 10);
	spin(arr, 15);
	exchange(arr, 2, 12);
	partner(arr, 'd', 'e');
	exchange(arr, 15, 10);
	partner(arr, 'j', 'n');
	exchange(arr, 12, 11);
	spin(arr, 9);
	exchange(arr, 10, 5);
	partner(arr, 'b', 'g');
	exchange(arr, 0, 12);
	partner(arr, 'a', 'e');
	spin(arr, 11);
	exchange(arr, 14, 11);
	partner(arr, 'j', 'f');
	spin(arr, 5);
	exchange(arr, 0, 6);
	spin(arr, 13);
	exchange(arr, 4, 13);
	spin(arr, 11);
	exchange(arr, 3, 9);
	partner(arr, 'i', 'e');
	exchange(arr, 2, 11);
	partner(arr, 'g', 'a');
	exchange(arr, 12, 8);
	partner(arr, 'p', 'i');
	exchange(arr, 4, 0);
	partner(arr, 'h', 'f');
	exchange(arr, 7, 11);
	spin(arr, 6);
	exchange(arr, 14, 4);
	spin(arr, 4);
	exchange(arr, 2, 1);
	partner(arr, 'a', 'j');
	exchange(arr, 5, 6);
	spin(arr, 6);
	exchange(arr, 0, 1);
	spin(arr, 6);
	exchange(arr, 2, 5);
	partner(arr, 'p', 'g');
	spin(arr, 10);
	partner(arr, 'n', 'b');
	exchange(arr, 12, 13);
	spin(arr, 9);
	exchange(arr, 11, 15);
	spin(arr, 5);
	exchange(arr, 3, 4);
	spin(arr, 6);
	exchange(arr, 9, 10);
	partner(arr, 'm', 'o');
	exchange(arr, 1, 3);
	spin(arr, 2);
	exchange(arr, 11, 14);
	partner(arr, 'f', 'p');
	exchange(arr, 5, 1);
	partner(arr, 'k', 'o');
	exchange(arr, 7, 11);
	spin(arr, 7);
	exchange(arr, 12, 1);
	partner(arr, 'c', 'l');
	exchange(arr, 6, 4);
	spin(arr, 4);
	partner(arr, 'f', 'e');
	exchange(arr, 9, 2);
	spin(arr, 13);
	exchange(arr, 7, 14);
	spin(arr, 14);
	exchange(arr, 5, 9);
	partner(arr, 'k', 'p');
	exchange(arr, 15, 10);
	partner(arr, 'g', 'j');
	exchange(arr, 11, 3);
	spin(arr, 2);
	partner(arr, 'f', 'o');
	spin(arr, 10);
	exchange(arr, 6, 10);
	spin(arr, 15);
	exchange(arr, 3, 5);
	spin(arr, 11);
	exchange(arr, 1, 0);
	partner(arr, 'l', 'g');
	exchange(arr, 14, 6);
	spin(arr, 13);
	exchange(arr, 0, 8);
	spin(arr, 15);
	exchange(arr, 4, 2);
	partner(arr, 'd', 'm');
	exchange(arr, 0, 8);
	spin(arr, 15);
	exchange(arr, 3, 1);
	spin(arr, 12);
	exchange(arr, 14, 7);
	spin(arr, 7);
	exchange(arr, 12, 2);
	spin(arr, 14);
	exchange(arr, 8, 10);
	spin(arr, 3);
	exchange(arr, 12, 0);
	spin(arr, 12);
	exchange(arr, 10, 3);
	spin(arr, 5);
	exchange(arr, 13, 5);
	spin(arr, 10);
	exchange(arr, 15, 6);
	partner(arr, 'j', 'g');
	exchange(arr, 9, 4);
	spin(arr, 6);
	exchange(arr, 7, 5);
	partner(arr, 'k', 'e');
	exchange(arr, 12, 14);
	spin(arr, 1);
	exchange(arr, 7, 5);
	partner(arr, 'j', 'h');
	exchange(arr, 11, 10);
	partner(arr, 'a', 'm');
	exchange(arr, 3, 7);
	partner(arr, 'i', 'f');
	exchange(arr, 12, 15);
	partner(arr, 'a', 'j');
	exchange(arr, 0, 2);
	spin(arr, 1);
	exchange(arr, 9, 12);
	spin(arr, 4);
	exchange(arr, 13, 1);
	partner(arr, 'i', 'd');
	exchange(arr, 8, 2);
	spin(arr, 1);
	exchange(arr, 13, 12);
	spin(arr, 2);
	exchange(arr, 5, 4);
	spin(arr, 10);
	exchange(arr, 15, 9);
	spin(arr, 8);
	exchange(arr, 5, 1);
	partner(arr, 'n', 'a');
	exchange(arr, 12, 3);
	spin(arr, 10);
	exchange(arr, 6, 9);
	partner(arr, 'g', 'c');
	spin(arr, 6);
	exchange(arr, 12, 15);
	partner(arr, 'n', 'b');
	exchange(arr, 11, 14);
	spin(arr, 10);
	exchange(arr, 15, 4);
	spin(arr, 15);
	partner(arr, 'g', 'm');
	exchange(arr, 0, 14);
	partner(arr, 'p', 'h');
	exchange(arr, 15, 11);
	spin(arr, 9);
	exchange(arr, 14, 1);
	spin(arr, 1);
	exchange(arr, 7, 12);
	partner(arr, 'l', 'i');
	exchange(arr, 11, 6);
	spin(arr, 4);
	exchange(arr, 2, 10);
	spin(arr, 6);
	exchange(arr, 4, 0);
	spin(arr, 14);
	exchange(arr, 14, 10);
	partner(arr, 'b', 'a');
	exchange(arr, 5, 3);
	spin(arr, 4);
	exchange(arr, 0, 9);
	spin(arr, 11);
	exchange(arr, 4, 14);
	spin(arr, 11);
	exchange(arr, 8, 7);
	partner(arr, 'd', 'm');
	exchange(arr, 12, 13);
	spin(arr, 5);
	exchange(arr, 4, 7);
	spin(arr, 5);
	exchange(arr, 11, 10);
	spin(arr, 4);
	exchange(arr, 9, 15);
	spin(arr, 3);
	exchange(arr, 13, 6);
	spin(arr, 9);
	partner(arr, 'i', 'o');
	exchange(arr, 11, 15);
	spin(arr, 8);
	exchange(arr, 7, 12);
	spin(arr, 9);
	exchange(arr, 14, 1);
	spin(arr, 14);
	exchange(arr, 6, 7);
	partner(arr, 'j', 'l');
	exchange(arr, 13, 4);
	partner(arr, 'p', 'a');
	exchange(arr, 11, 0);
	partner(arr, 'c', 'l');
	exchange(arr, 14, 10);
	partner(arr, 'n', 'i');
	exchange(arr, 15, 4);
	spin(arr, 5);
	exchange(arr, 0, 10);
	partner(arr, 'p', 'o');
	exchange(arr, 5, 13);
	spin(arr, 4);
	exchange(arr, 10, 4);
	spin(arr, 10);
	exchange(arr, 5, 6);
	spin(arr, 5);
	exchange(arr, 4, 11);
	partner(arr, 'h', 'c');
	exchange(arr, 2, 1);
	spin(arr, 6);
	exchange(arr, 0, 10);
	spin(arr, 11);
	exchange(arr, 1, 14);
	spin(arr, 5);
	exchange(arr, 3, 2);
	partner(arr, 'j', 'm');
	exchange(arr, 7, 5);
	spin(arr, 6);
	exchange(arr, 15, 12);
	spin(arr, 15);
	exchange(arr, 8, 0);
	partner(arr, 'o', 'c');
	exchange(arr, 10, 15);
	partner(arr, 'm', 'i');
	exchange(arr, 4, 9);
	spin(arr, 12);
	exchange(arr, 8, 0);
	spin(arr, 15);
	partner(arr, 'k', 'f');
	exchange(arr, 14, 7);
	spin(arr, 9);
	partner(arr, 'j', 'l');
	exchange(arr, 10, 4);
	spin(arr, 10);
	exchange(arr, 3, 11);
	spin(arr, 2);
	exchange(arr, 4, 5);
	partner(arr, 'k', 'h');
	exchange(arr, 2, 7);
	spin(arr, 10);
	exchange(arr, 13, 1);
	spin(arr, 11);
	exchange(arr, 11, 6);
	spin(arr, 2);
	exchange(arr, 10, 2);
	partner(arr, 'd', 'c');
	exchange(arr, 3, 4);
	partner(arr, 'g', 'f');
	exchange(arr, 10, 8);
	partner(arr, 'e', 'o');
	exchange(arr, 7, 13);
	spin(arr, 14);
	exchange(arr, 0, 10);
	spin(arr, 10);
	partner(arr, 'm', 'g');
	exchange(arr, 13, 14);
	spin(arr, 4);
	exchange(arr, 5, 4);
	spin(arr, 11);
	exchange(arr, 1, 13);
	spin(arr, 5);
	partner(arr, 'b', 'l');
	exchange(arr, 9, 11);
	spin(arr, 3);
	exchange(arr, 8, 12);
	spin(arr, 7);
	exchange(arr, 1, 10);
	spin(arr, 11);
	exchange(arr, 12, 5);
	spin(arr, 12);
	exchange(arr, 6, 10);
	spin(arr, 11);
	exchange(arr, 12, 2);
	partner(arr, 'e', 'j');
	exchange(arr, 8, 15);
	spin(arr, 6);
	exchange(arr, 6, 0);
	spin(arr, 1);
	exchange(arr, 12, 8);
	partner(arr, 'k', 'g');
	spin(arr, 1);
	exchange(arr, 15, 4);
	partner(arr, 'j', 'o');
	spin(arr, 13);
	exchange(arr, 0, 5);
	spin(arr, 10);
	exchange(arr, 11, 8);
	spin(arr, 6);
	exchange(arr, 12, 6);
	spin(arr, 11);
	exchange(arr, 11, 10);
	spin(arr, 9);
	exchange(arr, 14, 3);
	spin(arr, 14);
	partner(arr, 'b', 'p');
	exchange(arr, 4, 15);
	partner(arr, 'n', 'k');
	exchange(arr, 5, 13);
	spin(arr, 9);
	exchange(arr, 8, 11);
	spin(arr, 15);
	exchange(arr, 2, 3);
	spin(arr, 13);
	exchange(arr, 11, 6);
	partner(arr, 'g', 'i');
	exchange(arr, 5, 8);
	partner(arr, 'f', 'h');
	exchange(arr, 10, 15);
	partner(arr, 'k', 'p');
	exchange(arr, 14, 1);
	partner(arr, 'h', 'm');
	exchange(arr, 0, 7);
	spin(arr, 8);
	exchange(arr, 10, 15);
	partner(arr, 'e', 'i');
	spin(arr, 7);
	exchange(arr, 11, 1);
	spin(arr, 7);
	exchange(arr, 3, 5);
	partner(arr, 'l', 'g');
	exchange(arr, 0, 1);
	spin(arr, 11);
	exchange(arr, 6, 5);
	partner(arr, 'j', 'i');
	exchange(arr, 9, 12);
	partner(arr, 'f', 'd');
	exchange(arr, 8, 14);
	spin(arr, 6);
	exchange(arr, 0, 13);
	partner(arr, 'a', 'g');
	exchange(arr, 5, 2);
	spin(arr, 11);
	exchange(arr, 1, 9);
	spin(arr, 15);
	exchange(arr, 4, 12);
	spin(arr, 13);
	exchange(arr, 6, 14);
	spin(arr, 3);
	partner(arr, 'f', 'c');
	exchange(arr, 13, 1);
	spin(arr, 1);
	partner(arr, 'p', 'm');
	exchange(arr, 3, 8);
	partner(arr, 'f', 'c');
	exchange(arr, 1, 10);
	partner(arr, 'k', 'j');
	spin(arr, 15);
	exchange(arr, 15, 4);
	spin(arr, 13);
	exchange(arr, 3, 12);
	spin(arr, 8);
	exchange(arr, 2, 9);
	partner(arr, 'i', 'l');
	exchange(arr, 7, 1);
	spin(arr, 15);
	exchange(arr, 8, 12);
	spin(arr, 11);
	exchange(arr, 11, 2);
	partner(arr, 'n', 'k');
	exchange(arr, 15, 0);
	spin(arr, 5);
	exchange(arr, 3, 8);
	partner(arr, 'j', 'c');
	exchange(arr, 1, 13);
	spin(arr, 2);
	exchange(arr, 10, 5);
	spin(arr, 13);
	exchange(arr, 6, 11);
	spin(arr, 2);
	exchange(arr, 4, 15);
	partner(arr, 'o', 'h');
	exchange(arr, 6, 14);
	spin(arr, 14);
	exchange(arr, 2, 12);
	spin(arr, 5);
	exchange(arr, 3, 7);
	partner(arr, 'm', 'n');
	exchange(arr, 13, 14);
	partner(arr, 'f', 'c');
	exchange(arr, 11, 1);
	spin(arr, 10);
	exchange(arr, 7, 15);
	spin(arr, 9);
	exchange(arr, 2, 1);
	spin(arr, 8);
	partner(arr, 'o', 'b');
	exchange(arr, 3, 6);
	partner(arr, 'k', 'h');
	exchange(arr, 2, 14);
	partner(arr, 'o', 'l');
	spin(arr, 8);
	exchange(arr, 1, 13);
	spin(arr, 5);
	exchange(arr, 6, 2);
	spin(arr, 1);
	exchange(arr, 11, 7);
	spin(arr, 5);
	partner(arr, 'f', 'c');
	exchange(arr, 1, 13);
	spin(arr, 10);
	exchange(arr, 3, 9);
	spin(arr, 15);
	exchange(arr, 0, 7);
	partner(arr, 'd', 'g');
	exchange(arr, 6, 13);
	partner(arr, 'i', 'm');
	exchange(arr, 15, 5);
	partner(arr, 'n', 'c');
	exchange(arr, 10, 12);
	spin(arr, 4);
	exchange(arr, 11, 0);
	spin(arr, 1);
	exchange(arr, 6, 1);
	spin(arr, 4);
	exchange(arr, 8, 3);
	spin(arr, 1);
	exchange(arr, 15, 4);
	spin(arr, 11);
	exchange(arr, 13, 11);
	partner(arr, 'e', 'd');
	exchange(arr, 3, 15);
	spin(arr, 13);
	exchange(arr, 11, 5);
	partner(arr, 'o', 'n');
	exchange(arr, 0, 4);
	spin(arr, 9);
	exchange(arr, 10, 12);
	partner(arr, 'd', 'p');
	exchange(arr, 13, 8);
	spin(arr, 7);
	exchange(arr, 4, 0);
	partner(arr, 'g', 'l');
	exchange(arr, 6, 10);
	spin(arr, 9);
	partner(arr, 'p', 'o');
	exchange(arr, 9, 13);
	spin(arr, 13);
	partner(arr, 'n', 'c');
	exchange(arr, 14, 4);
	spin(arr, 15);
	exchange(arr, 8, 15);
	partner(arr, 'o', 'm');
	exchange(arr, 14, 5);
	partner(arr, 'l', 'd');
	spin(arr, 11);
	exchange(arr, 4, 7);
	spin(arr, 15);
	exchange(arr, 5, 14);
	spin(arr, 4);
	exchange(arr, 4, 0);
	spin(arr, 3);
	exchange(arr, 2, 5);
	spin(arr, 13);
	exchange(arr, 6, 3);
	spin(arr, 12);
	exchange(arr, 1, 0);
	spin(arr, 5);
	exchange(arr, 4, 8);
	partner(arr, 'j', 'm');
	exchange(arr, 6, 13);
	spin(arr, 7);
	exchange(arr, 5, 1);
	partner(arr, 'g', 'l');
	spin(arr, 5);
	exchange(arr, 14, 9);
	spin(arr, 7);
	exchange(arr, 5, 13);
	partner(arr, 'b', 'm');
	exchange(arr, 0, 7);
	spin(arr, 8);
	exchange(arr, 8, 9);
	partner(arr, 'i', 'k');
	exchange(arr, 13, 7);
	spin(arr, 9);
	exchange(arr, 10, 5);
	partner(arr, 'o', 'c');
	exchange(arr, 11, 14);
	spin(arr, 4);
	exchange(arr, 5, 8);
	partner(arr, 'l', 'b');
	exchange(arr, 15, 9);
	spin(arr, 7);
	exchange(arr, 11, 3);
	spin(arr, 3);
	partner(arr, 'f', 'j');
	exchange(arr, 13, 15);
	spin(arr, 8);
	exchange(arr, 9, 10);
	spin(arr, 5);
	exchange(arr, 2, 6);
	spin(arr, 6);
	exchange(arr, 13, 9);
	partner(arr, 'e', 'n');
	exchange(arr, 15, 10);
	spin(arr, 5);
	exchange(arr, 11, 4);
	partner(arr, 'a', 'm');
	exchange(arr, 3, 8);
	spin(arr, 2);
	partner(arr, 'i', 'f');
	exchange(arr, 7, 4);
	spin(arr, 3);
	exchange(arr, 12, 5);
	partner(arr, 'g', 'p');
	exchange(arr, 4, 1);
	partner(arr, 'k', 'n');
	exchange(arr, 6, 13);
	spin(arr, 14);
	exchange(arr, 1, 7);
	spin(arr, 6);
	exchange(arr, 2, 3);
	spin(arr, 4);
	exchange(arr, 1, 9);
	partner(arr, 'h', 'i');
	exchange(arr, 12, 8);
	spin(arr, 9);
	exchange(arr, 5, 7);
	spin(arr, 14);
	exchange(arr, 2, 1);
	spin(arr, 10);
	exchange(arr, 5, 9);
	partner(arr, 'd', 'o');
	exchange(arr, 7, 8);
	partner(arr, 'j', 'e');
	exchange(arr, 3, 6);
	partner(arr, 'k', 'h');
	exchange(arr, 14, 5);
	partner(arr, 'f', 'd');
	exchange(arr, 9, 10);
	spin(arr, 15);
	exchange(arr, 1, 8);
	spin(arr, 11);
	exchange(arr, 6, 15);
	partner(arr, 'j', 'm');
	exchange(arr, 12, 2);
	partner(arr, 'k', 'h');
	exchange(arr, 7, 10);
	partner(arr, 'j', 'a');
	spin(arr, 4);
	exchange(arr, 8, 2);
	spin(arr, 8);
	exchange(arr, 4, 0);
	spin(arr, 5);
	exchange(arr, 9, 5);
	spin(arr, 9);
	exchange(arr, 8, 4);
	spin(arr, 11);
	exchange(arr, 10, 6);
	spin(arr, 13);
	exchange(arr, 3, 15);
	spin(arr, 13);
	exchange(arr, 2, 0);
	spin(arr, 10);
	exchange(arr, 3, 6);
	spin(arr, 10);
	exchange(arr, 4, 2);
	partner(arr, 'n', 'e');
	exchange(arr, 9, 3);
	spin(arr, 8);
	exchange(arr, 7, 12);
	spin(arr, 13);
	exchange(arr, 9, 6);
	spin(arr, 7);
	exchange(arr, 13, 4);
	partner(arr, 'b', 'k');
	exchange(arr, 11, 14);
	spin(arr, 5);
	exchange(arr, 4, 6);
	partner(arr, 'i', 'e');
	exchange(arr, 1, 0);
	partner(arr, 'a', 'g');
	exchange(arr, 13, 10);
	spin(arr, 10);
	exchange(arr, 5, 11);
	partner(arr, 'l', 'p');
	exchange(arr, 2, 4);
	partner(arr, 'b', 'o');
	exchange(arr, 10, 8);
	spin(arr, 1);
	exchange(arr, 0, 13);
	spin(arr, 10);
	partner(arr, 'l', 'p');
	spin(arr, 6);
	exchange(arr, 4, 10);
	spin(arr, 2);
	exchange(arr, 14, 11);
	partner(arr, 'i', 'm');
	exchange(arr, 8, 12);
	partner(arr, 'a', 'b');
	exchange(arr, 5, 10);
	spin(arr, 8);
	exchange(arr, 3, 8);
	spin(arr, 1);
	exchange(arr, 12, 5);
	partner(arr, 'i', 'd');
	spin(arr, 13);
	exchange(arr, 9, 6);
	spin(arr, 3);
	exchange(arr, 3, 8);
	spin(arr, 2);
	exchange(arr, 15, 11);
	spin(arr, 11);
	partner(arr, 'n', 'b');
	exchange(arr, 10, 8);
	spin(arr, 3);
	exchange(arr, 4, 2);
	spin(arr, 11);
	exchange(arr, 14, 13);
	spin(arr, 6);
	exchange(arr, 4, 12);
	partner(arr, 'c', 'g');
	exchange(arr, 9, 0);
	spin(arr, 8);
	exchange(arr, 2, 5);
	partner(arr, 'l', 'i');
	exchange(arr, 14, 7);
	spin(arr, 6);
	exchange(arr, 4, 6);
	spin(arr, 7);
	partner(arr, 'j', 'e');
	exchange(arr, 7, 0);
	spin(arr, 15);
	exchange(arr, 13, 12);
	spin(arr, 10);
	exchange(arr, 15, 0);
	spin(arr, 11);
	exchange(arr, 12, 5);
	spin(arr, 4);
	exchange(arr, 1, 7);
	partner(arr, 'd', 'i');
	exchange(arr, 9, 14);
	spin(arr, 11);
	partner(arr, 'h', 'c');
	exchange(arr, 4, 0);
	spin(arr, 12);
	exchange(arr, 7, 15);
	spin(arr, 15);
	partner(arr, 'j', 'i');
	exchange(arr, 2, 10);
	spin(arr, 5);
	exchange(arr, 0, 15);
	spin(arr, 14);
	exchange(arr, 7, 14);
	spin(arr, 2);
	exchange(arr, 2, 12);
	spin(arr, 8);
	exchange(arr, 0, 14);
	spin(arr, 4);
	exchange(arr, 9, 1);
	spin(arr, 7);
	exchange(arr, 11, 14);
	partner(arr, 'l', 'm');
	spin(arr, 11);
	exchange(arr, 2, 8);
	spin(arr, 14);
	partner(arr, 'a', 'n');
	exchange(arr, 7, 3);
	spin(arr, 9);
	exchange(arr, 11, 0);
	partner(arr, 'p', 'd');
	exchange(arr, 13, 4);
	spin(arr, 1);
	exchange(arr, 8, 9);
	spin(arr, 2);
	exchange(arr, 7, 1);
	partner(arr, 'c', 'm');
	exchange(arr, 8, 9);
	spin(arr, 8);
	exchange(arr, 4, 3);
	spin(arr, 5);
	exchange(arr, 2, 15);
	partner(arr, 'p', 'a');
	exchange(arr, 0, 14);
	spin(arr, 8);
	exchange(arr, 10, 8);
	spin(arr, 14);
	exchange(arr, 2, 13);
	partner(arr, 'j', 'f');
	exchange(arr, 1, 14);
	spin(arr, 8);
	exchange(arr, 13, 9);
	spin(arr, 9);
	exchange(arr, 8, 11);
	partner(arr, 'l', 'o');
	exchange(arr, 10, 14);
	spin(arr, 14);
	exchange(arr, 0, 11);
	partner(arr, 'p', 'd');
	exchange(arr, 5, 13);
	partner(arr, 'a', 'g');
	exchange(arr, 12, 3);
	spin(arr, 5);
	exchange(arr, 4, 2);
	spin(arr, 9);
	exchange(arr, 9, 15);
	spin(arr, 3);
	exchange(arr, 3, 14);
	partner(arr, 'l', 'e');
	exchange(arr, 2, 15);
	partner(arr, 'j', 'i');
	exchange(arr, 0, 3);
	partner(arr, 'k', 'h');
	exchange(arr, 13, 9);
	spin(arr, 15);
	exchange(arr, 2, 10);
	partner(arr, 'l', 'i');
	exchange(arr, 8, 6);
	spin(arr, 7);
	partner(arr, 'd', 'f');
	exchange(arr, 13, 0);
	partner(arr, 'k', 'l');
	exchange(arr, 1, 4);
	partner(arr, 'o', 'h');
	exchange(arr, 2, 7);
	spin(arr, 2);
	exchange(arr, 13, 4);
	partner(arr, 'd', 'c');
	exchange(arr, 1, 3);
	spin(arr, 15);
	partner(arr, 'e', 'o');
	exchange(arr, 6, 12);
	spin(arr, 7);
	exchange(arr, 9, 2);
	partner(arr, 'd', 'f');
	exchange(arr, 14, 10);
	spin(arr, 5);
	exchange(arr, 2, 6);
	spin(arr, 5);
	exchange(arr, 0, 12);
	spin(arr, 5);
	exchange(arr, 5, 3);
	spin(arr, 15);
	exchange(arr, 13, 15);
	partner(arr, 'l', 'k');
	exchange(arr, 0, 14);
	partner(arr, 'd', 'b');
	spin(arr, 13);
	exchange(arr, 1, 8);
	spin(arr, 4);
	exchange(arr, 4, 6);
	partner(arr, 'e', 'j');
	exchange(arr, 7, 11);
	partner(arr, 'l', 'p');
	exchange(arr, 5, 6);
	spin(arr, 9);
	partner(arr, 'k', 'g');
	exchange(arr, 11, 12);
	partner(arr, 'f', 'p');
	exchange(arr, 10, 7);
	spin(arr, 14);
	exchange(arr, 0, 5);
	partner(arr, 'a', 'b');
	exchange(arr, 2, 14);
	spin(arr, 4);
	exchange(arr, 13, 15);
	partner(arr, 'd', 'c');
	exchange(arr, 7, 0);
	partner(arr, 'j', 'o');
	exchange(arr, 4, 3);
	partner(arr, 'k', 'm');
	exchange(arr, 1, 9);
	spin(arr, 6);
	exchange(arr, 8, 3);
	partner(arr, 'h', 'j');
	spin(arr, 4);
	exchange(arr, 5, 9);
	spin(arr, 5);
	exchange(arr, 4, 7);
	partner(arr, 'e', 'k');
	exchange(arr, 10, 9);
	partner(arr, 'm', 'f');
	exchange(arr, 5, 14);
	spin(arr, 10);
	exchange(arr, 11, 8);
	spin(arr, 3);
	exchange(arr, 12, 1);
	spin(arr, 6);
	exchange(arr, 4, 15);
	spin(arr, 4);
	exchange(arr, 2, 1);
	partner(arr, 'i', 'o');
	exchange(arr, 13, 0);
	spin(arr, 7);
	exchange(arr, 11, 3);
	spin(arr, 7);
	exchange(arr, 13, 14);
	spin(arr, 10);
	exchange(arr, 11, 15);
	partner(arr, 'g', 'k');
	exchange(arr, 7, 1);
	partner(arr, 'f', 'o');
	exchange(arr, 10, 6);
	partner(arr, 'l', 'm');
	exchange(arr, 4, 5);
	spin(arr, 5);
	exchange(arr, 3, 11);
	spin(arr, 7);
	partner(arr, 'i', 'e');
	exchange(arr, 8, 1);
	partner(arr, 'c', 'b');
	exchange(arr, 11, 4);
	partner(arr, 'k', 'i');
	exchange(arr, 10, 1);
	partner(arr, 'p', 'g');
	spin(arr, 5);
	exchange(arr, 14, 13);
	spin(arr, 12);
	exchange(arr, 4, 11);
	spin(arr, 10);
	exchange(arr, 3, 14);
	spin(arr, 1);
	exchange(arr, 10, 6);
	spin(arr, 12);
	exchange(arr, 8, 5);
	partner(arr, 'i', 'd');
	exchange(arr, 3, 10);
	partner(arr, 'k', 'f');
	exchange(arr, 2, 0);
	spin(arr, 13);
	exchange(arr, 10, 12);
	spin(arr, 1);
	exchange(arr, 9, 2);
	spin(arr, 10);
	exchange(arr, 5, 3);
	partner(arr, 'j', 'l');
	exchange(arr, 9, 15);
	spin(arr, 9);
	partner(arr, 'a', 'i');
	exchange(arr, 0, 6);
	spin(arr, 5);
	exchange(arr, 14, 12);
	partner(arr, 'g', 'e');
	exchange(arr, 11, 10);
	spin(arr, 12);
	exchange(arr, 5, 8);
	partner(arr, 'f', 'j');
	exchange(arr, 14, 11);
	partner(arr, 'n', 'p');
	exchange(arr, 5, 9);
	spin(arr, 14);
	exchange(arr, 4, 1);
	partner(arr, 'h', 'o');
	exchange(arr, 13, 2);
	partner(arr, 'n', 'g');
	exchange(arr, 14, 0);
	partner(arr, 'o', 'k');
	spin(arr, 4);
	exchange(arr, 4, 13);
	partner(arr, 'n', 'j');
	exchange(arr, 11, 10);
	spin(arr, 8);
	exchange(arr, 2, 14);
	spin(arr, 14);
	exchange(arr, 7, 15);
	partner(arr, 'c', 'h');
	exchange(arr, 12, 4);
	partner(arr, 'o', 'b');
	exchange(arr, 9, 15);
	spin(arr, 12);
	exchange(arr, 6, 12);
	partner(arr, 'g', 'p');
	exchange(arr, 2, 9);
	spin(arr, 3);
	exchange(arr, 6, 4);
	spin(arr, 12);
	exchange(arr, 1, 0);
	spin(arr, 7);
	exchange(arr, 4, 5);
	spin(arr, 7);
	exchange(arr, 9, 15);
	partner(arr, 'm', 'j');
	exchange(arr, 3, 14);
	spin(arr, 5);
	exchange(arr, 7, 1);
	partner(arr, 'c', 'h');
	exchange(arr, 10, 5);
	partner(arr, 'e', 'g');
	exchange(arr, 14, 11);
	partner(arr, 'k', 'o');
	exchange(arr, 13, 8);
	partner(arr, 'b', 'd');
	exchange(arr, 1, 4);
	spin(arr, 2);
	exchange(arr, 2, 12);
	spin(arr, 6);
	exchange(arr, 7, 11);
	spin(arr, 13);
	exchange(arr, 0, 3);
	spin(arr, 11);
	exchange(arr, 13, 9);
	partner(arr, 'n', 'f');
	spin(arr, 14);
	exchange(arr, 14, 5);
	spin(arr, 1);
	exchange(arr, 7, 1);
	spin(arr, 8);
	exchange(arr, 9, 5);
	spin(arr, 2);
	exchange(arr, 3, 0);
	spin(arr, 9);
	exchange(arr, 13, 10);
	spin(arr, 6);
	exchange(arr, 7, 15);
	spin(arr, 4);
	partner(arr, 'e', 'a');
	exchange(arr, 13, 9);
	partner(arr, 'l', 'h');
	exchange(arr, 14, 8);
	partner(arr, 'i', 'p');
	exchange(arr, 9, 1);
	spin(arr, 6);
	exchange(arr, 13, 12);
	partner(arr, 'd', 'j');
	exchange(arr, 5, 8);
	partner(arr, 'n', 'k');
	exchange(arr, 13, 11);
	spin(arr, 2);
	exchange(arr, 8, 15);
	partner(arr, 'm', 'c');
	exchange(arr, 0, 9);
	partner(arr, 'j', 'a');
	exchange(arr, 7, 8);
	partner(arr, 'k', 'l');
	exchange(arr, 5, 3);
	spin(arr, 5);
	exchange(arr, 14, 7);
	partner(arr, 'n', 'o');
	exchange(arr, 0, 11);
	spin(arr, 1);
	exchange(arr, 7, 12);
	spin(arr, 7);
	exchange(arr, 8, 5);
	partner(arr, 'l', 'k');
	spin(arr, 7);
	exchange(arr, 9, 1);
	spin(arr, 5);
	exchange(arr, 0, 5);
	spin(arr, 15);
	exchange(arr, 15, 11);
	spin(arr, 10);
	exchange(arr, 6, 1);
	spin(arr, 12);
	partner(arr, 'g', 'j');
	exchange(arr, 13, 3);
	partner(arr, 'b', 'i');
	exchange(arr, 5, 15);
	spin(arr, 8);
	exchange(arr, 7, 0);
	spin(arr, 4);
	exchange(arr, 2, 6);
	spin(arr, 9);
	exchange(arr, 4, 1);
	spin(arr, 15);
	exchange(arr, 12, 0);
	spin(arr, 11);
	exchange(arr, 6, 3);
	partner(arr, 'g', 'o');
	exchange(arr, 7, 8);
	partner(arr, 'k', 'd');
	exchange(arr, 14, 1);
	partner(arr, 'o', 'b');
	exchange(arr, 6, 8);
	spin(arr, 11);
	exchange(arr, 7, 4);
	spin(arr, 13);
	partner(arr, 'p', 'a');
	exchange(arr, 0, 9);
	partner(arr, 'e', 'f');
	exchange(arr, 8, 5);
	partner(arr, 'p', 'b');
	exchange(arr, 0, 15);
	spin(arr, 8);
	exchange(arr, 6, 10);
	partner(arr, 'd', 'e');
	spin(arr, 7);
	exchange(arr, 14, 4);
	spin(arr, 9);
	exchange(arr, 3, 10);
	partner(arr, 'p', 'o');
	exchange(arr, 5, 6);
	spin(arr, 13);
	exchange(arr, 1, 4);
	spin(arr, 13);
	exchange(arr, 3, 5);
	partner(arr, 'e', 'f');
	exchange(arr, 11, 0);
	spin(arr, 6);
	exchange(arr, 13, 1);
	spin(arr, 14);
	exchange(arr, 6, 12);
	spin(arr, 15);
	exchange(arr, 7, 2);
	spin(arr, 4);
	exchange(arr, 12, 4);
	partner(arr, 'i', 'd');
	exchange(arr, 1, 3);
	partner(arr, 'e', 'm');
	exchange(arr, 14, 8);
	spin(arr, 14);
	partner(arr, 'j', 'n');
	exchange(arr, 13, 4);
	partner(arr, 'c', 'a');
	exchange(arr, 0, 7);
	spin(arr, 10);
	exchange(arr, 12, 4);
	partner(arr, 'g', 'l');
	spin(arr, 11);
	exchange(arr, 15, 9);
	spin(arr, 12);
	exchange(arr, 14, 8);
	partner(arr, 'n', 'm');
	spin(arr, 6);
	exchange(arr, 0, 7);
	spin(arr, 1);
	exchange(arr, 8, 10);
	partner(arr, 'e', 'g');
	exchange(arr, 11, 12);
	spin(arr, 14);
	exchange(arr, 0, 6);
	partner(arr, 'l', 'c');
	exchange(arr, 3, 11);
	partner(arr, 'n', 'k');
	exchange(arr, 15, 14);
	spin(arr, 15);
	exchange(arr, 10, 6);
	partner(arr, 'm', 'e');
	exchange(arr, 14, 2);
	partner(arr, 'a', 'l');
	exchange(arr, 12, 7);
	partner(arr, 'b', 'd');
	exchange(arr, 2, 6);
	spin(arr, 14);
	exchange(arr, 4, 14);
	partner(arr, 'l', 'c');
	exchange(arr, 0, 10);
	spin(arr, 12);
	exchange(arr, 14, 5);
	spin(arr, 15);
	exchange(arr, 7, 6);
	partner(arr, 'n', 'f');
	exchange(arr, 0, 13);
	spin(arr, 4);
	exchange(arr, 6, 12);
	spin(arr, 12);
	exchange(arr, 2, 15);
	partner(arr, 'c', 'i');
	spin(arr, 8);
	partner(arr, 'b', 'g');
	spin(arr, 6);
	partner(arr, 'f', 'n');
	exchange(arr, 5, 11);
	spin(arr, 1);
	exchange(arr, 13, 14);
	partner(arr, 'j', 'e');
	exchange(arr, 10, 1);
	partner(arr, 'd', 'm');
	exchange(arr, 6, 15);
	partner(arr, 'p', 'j');
	exchange(arr, 7, 1);
	partner(arr, 'd', 'k');
	exchange(arr, 11, 6);
	spin(arr, 1);
	exchange(arr, 7, 1);
	spin(arr, 3);
	exchange(arr, 14, 10);
	spin(arr, 14);
	partner(arr, 'e', 'f');
	spin(arr, 4);
	exchange(arr, 7, 11);
	spin(arr, 4);
	partner(arr, 'k', 'j');
	exchange(arr, 2, 5);
	partner(arr, 'c', 'f');
	exchange(arr, 0, 6);
	partner(arr, 'j', 'k');
	exchange(arr, 15, 8);
	spin(arr, 1);
	exchange(arr, 7, 0);
	spin(arr, 2);
	exchange(arr, 8, 12);
	spin(arr, 4);
	exchange(arr, 14, 11);
	spin(arr, 8);
	exchange(arr, 0, 1);
	partner(arr, 'f', 'c');
	exchange(arr, 6, 14);
	spin(arr, 4);
	exchange(arr, 13, 8);
	spin(arr, 11);
	exchange(arr, 10, 6);
	spin(arr, 13);
	partner(arr, 'm', 'l');
	exchange(arr, 15, 4);
	spin(arr, 12);
	exchange(arr, 5, 6);
	spin(arr, 13);
	exchange(arr, 12, 9);
	partner(arr, 'i', 'k');
	exchange(arr, 7, 13);
	spin(arr, 5);
	exchange(arr, 10, 12);
	spin(arr, 12);
	exchange(arr, 9, 7);
	partner(arr, 'l', 'c');
	exchange(arr, 1, 14);
	partner(arr, 'o', 'i');
	exchange(arr, 7, 10);
	spin(arr, 6);
	exchange(arr, 5, 1);
	spin(arr, 11);
	exchange(arr, 4, 11);
	spin(arr, 13);
	exchange(arr, 13, 7);
	partner(arr, 'd', 'f');
	exchange(arr, 2, 11);
	partner(arr, 'j', 'm');
	exchange(arr, 9, 5);
	partner(arr, 'i', 'g');
	exchange(arr, 3, 0);
	partner(arr, 'o', 'd');
	exchange(arr, 14, 5);
	spin(arr, 5);
	exchange(arr, 3, 8);
	spin(arr, 9);
	exchange(arr, 5, 2);
	partner(arr, 'b', 'i');
	exchange(arr, 14, 7);
	spin(arr, 14);
	exchange(arr, 15, 13);
	spin(arr, 13);
	exchange(arr, 9, 4);
	spin(arr, 13);
	partner(arr, 'm', 'e');
	exchange(arr, 6, 11);
	spin(arr, 5);
	exchange(arr, 3, 7);
	partner(arr, 'n', 'd');
	exchange(arr, 13, 14);
	partner(arr, 'j', 'l');
	exchange(arr, 11, 8);
	spin(arr, 5);
	partner(arr, 'e', 'g');
	exchange(arr, 13, 9);
	spin(arr, 9);
	partner(arr, 'o', 'p');
	exchange(arr, 7, 2);
	partner(arr, 'e', 'k');
	exchange(arr, 3, 6);
	spin(arr, 10);
	exchange(arr, 14, 7);
	spin(arr, 13);
	exchange(arr, 1, 6);
	spin(arr, 14);
	exchange(arr, 3, 2);
	spin(arr, 1);
	exchange(arr, 13, 12);
	partner(arr, 'g', 'j');
	exchange(arr, 11, 5);
	spin(arr, 6);
	exchange(arr, 2, 14);
	spin(arr, 6);
	exchange(arr, 4, 10);
	partner(arr, 'i', 'b');
	exchange(arr, 0, 8);
	spin(arr, 1);
	exchange(arr, 2, 14);
	spin(arr, 12);
	exchange(arr, 13, 5);
	spin(arr, 13);
	exchange(arr, 10, 15);
	spin(arr, 13);
	exchange(arr, 12, 6);
	spin(arr, 12);
	exchange(arr, 0, 11);
	partner(arr, 'f', 'g');
	exchange(arr, 15, 1);
	partner(arr, 'b', 'd');
	exchange(arr, 7, 10);
	spin(arr, 12);
	partner(arr, 'k', 'l');
	exchange(arr, 14, 4);
}

int _tmain(int argc, _TCHAR* argv[])
{
	try
	{
		string input = readWholeFile("in_16.txt");

		vector<instruction> moves = parse(input);

		vector<char> test = { 'a','b','c','d','e','f','g','h','i','j','k','l','m','n','o','p' };

		/*for (auto &i : moves)
		{
			if (i.mn == moveName::spin)
			{
				cout << "spin(arr, " << i.no1 << ");\n";
			}
			if (i.mn == moveName::exchange)
			{
				cout << "exchange(arr, " << i.no1 << ", " << i.no2 << ");\n";
			}
			if (i.mn == moveName::partner)
			{
				cout << "partner(arr, '" << i.cand1 << "', '" << i.cand2 << "');\n";
			}
		}*/


		pass(test);

		cout << "Part 1 ";
		for (auto i : test)
		{
			cout << i;
		}
		cout << "\n";

		for (uint64_t j = 1; j!=(1000000000 % 60) ; j++)
		{
			pass(test);

			if (j % 1000 ==0)
			{
				cout << j << " ";
				for (auto k : test)
				{
					cout << k;
				}
				cout << "\n";
			}

		}
	}
	catch (FileReadException &e)
	{
		cerr << "Cannot read file\n";
	}
	return 0;
}