Processing math: 100%

Identifier
Mp00109: Permutations —descent word⟶ Binary words
Mp00104: Binary words —reverse⟶ Binary words
Mp00105: Binary words —complement⟶ Binary words
Images
[1] => => =>
[1,2] => 0 => 0 => 1
[2,1] => 1 => 1 => 0
[1,2,3] => 00 => 00 => 11
[1,3,2] => 01 => 10 => 01
[2,1,3] => 10 => 01 => 10
[2,3,1] => 01 => 10 => 01
[3,1,2] => 10 => 01 => 10
[3,2,1] => 11 => 11 => 00
[1,2,3,4] => 000 => 000 => 111
[1,2,4,3] => 001 => 100 => 011
[1,3,2,4] => 010 => 010 => 101
[1,3,4,2] => 001 => 100 => 011
[1,4,2,3] => 010 => 010 => 101
[1,4,3,2] => 011 => 110 => 001
[2,1,3,4] => 100 => 001 => 110
[2,1,4,3] => 101 => 101 => 010
[2,3,1,4] => 010 => 010 => 101
[2,3,4,1] => 001 => 100 => 011
[2,4,1,3] => 010 => 010 => 101
[2,4,3,1] => 011 => 110 => 001
[3,1,2,4] => 100 => 001 => 110
[3,1,4,2] => 101 => 101 => 010
[3,2,1,4] => 110 => 011 => 100
[3,2,4,1] => 101 => 101 => 010
[3,4,1,2] => 010 => 010 => 101
[3,4,2,1] => 011 => 110 => 001
[4,1,2,3] => 100 => 001 => 110
[4,1,3,2] => 101 => 101 => 010
[4,2,1,3] => 110 => 011 => 100
[4,2,3,1] => 101 => 101 => 010
[4,3,1,2] => 110 => 011 => 100
[4,3,2,1] => 111 => 111 => 000
[1,2,3,4,5] => 0000 => 0000 => 1111
[1,2,3,5,4] => 0001 => 1000 => 0111
[1,2,4,3,5] => 0010 => 0100 => 1011
[1,2,4,5,3] => 0001 => 1000 => 0111
[1,2,5,3,4] => 0010 => 0100 => 1011
[1,2,5,4,3] => 0011 => 1100 => 0011
[1,3,2,4,5] => 0100 => 0010 => 1101
[1,3,2,5,4] => 0101 => 1010 => 0101
[1,3,4,2,5] => 0010 => 0100 => 1011
[1,3,4,5,2] => 0001 => 1000 => 0111
[1,3,5,2,4] => 0010 => 0100 => 1011
[1,3,5,4,2] => 0011 => 1100 => 0011
[1,4,2,3,5] => 0100 => 0010 => 1101
[1,4,2,5,3] => 0101 => 1010 => 0101
[1,4,3,2,5] => 0110 => 0110 => 1001
[1,4,3,5,2] => 0101 => 1010 => 0101
[1,4,5,2,3] => 0010 => 0100 => 1011
[1,4,5,3,2] => 0011 => 1100 => 0011
[1,5,2,3,4] => 0100 => 0010 => 1101
[1,5,2,4,3] => 0101 => 1010 => 0101
[1,5,3,2,4] => 0110 => 0110 => 1001
[1,5,3,4,2] => 0101 => 1010 => 0101
[1,5,4,2,3] => 0110 => 0110 => 1001
[1,5,4,3,2] => 0111 => 1110 => 0001
[2,1,3,4,5] => 1000 => 0001 => 1110
[2,1,3,5,4] => 1001 => 1001 => 0110
[2,1,4,3,5] => 1010 => 0101 => 1010
[2,1,4,5,3] => 1001 => 1001 => 0110
[2,1,5,3,4] => 1010 => 0101 => 1010
[2,1,5,4,3] => 1011 => 1101 => 0010
[2,3,1,4,5] => 0100 => 0010 => 1101
[2,3,1,5,4] => 0101 => 1010 => 0101
[2,3,4,1,5] => 0010 => 0100 => 1011
[2,3,4,5,1] => 0001 => 1000 => 0111
[2,3,5,1,4] => 0010 => 0100 => 1011
[2,3,5,4,1] => 0011 => 1100 => 0011
[2,4,1,3,5] => 0100 => 0010 => 1101
[2,4,1,5,3] => 0101 => 1010 => 0101
[2,4,3,1,5] => 0110 => 0110 => 1001
[2,4,3,5,1] => 0101 => 1010 => 0101
[2,4,5,1,3] => 0010 => 0100 => 1011
[2,4,5,3,1] => 0011 => 1100 => 0011
[2,5,1,3,4] => 0100 => 0010 => 1101
[2,5,1,4,3] => 0101 => 1010 => 0101
[2,5,3,1,4] => 0110 => 0110 => 1001
[2,5,3,4,1] => 0101 => 1010 => 0101
[2,5,4,1,3] => 0110 => 0110 => 1001
[2,5,4,3,1] => 0111 => 1110 => 0001
[3,1,2,4,5] => 1000 => 0001 => 1110
[3,1,2,5,4] => 1001 => 1001 => 0110
[3,1,4,2,5] => 1010 => 0101 => 1010
[3,1,4,5,2] => 1001 => 1001 => 0110
[3,1,5,2,4] => 1010 => 0101 => 1010
[3,1,5,4,2] => 1011 => 1101 => 0010
[3,2,1,4,5] => 1100 => 0011 => 1100
[3,2,1,5,4] => 1101 => 1011 => 0100
[3,2,4,1,5] => 1010 => 0101 => 1010
[3,2,4,5,1] => 1001 => 1001 => 0110
[3,2,5,1,4] => 1010 => 0101 => 1010
[3,2,5,4,1] => 1011 => 1101 => 0010
[3,4,1,2,5] => 0100 => 0010 => 1101
[3,4,1,5,2] => 0101 => 1010 => 0101
[3,4,2,1,5] => 0110 => 0110 => 1001
[3,4,2,5,1] => 0101 => 1010 => 0101
[3,4,5,1,2] => 0010 => 0100 => 1011
[3,4,5,2,1] => 0011 => 1100 => 0011
[3,5,1,2,4] => 0100 => 0010 => 1101
[3,5,1,4,2] => 0101 => 1010 => 0101
>>> Load all 41193 entries. <<<
[3,5,2,1,4] => 0110 => 0110 => 1001
[3,5,2,4,1] => 0101 => 1010 => 0101
[3,5,4,1,2] => 0110 => 0110 => 1001
[3,5,4,2,1] => 0111 => 1110 => 0001
[4,1,2,3,5] => 1000 => 0001 => 1110
[4,1,2,5,3] => 1001 => 1001 => 0110
[4,1,3,2,5] => 1010 => 0101 => 1010
[4,1,3,5,2] => 1001 => 1001 => 0110
[4,1,5,2,3] => 1010 => 0101 => 1010
[4,1,5,3,2] => 1011 => 1101 => 0010
[4,2,1,3,5] => 1100 => 0011 => 1100
[4,2,1,5,3] => 1101 => 1011 => 0100
[4,2,3,1,5] => 1010 => 0101 => 1010
[4,2,3,5,1] => 1001 => 1001 => 0110
[4,2,5,1,3] => 1010 => 0101 => 1010
[4,2,5,3,1] => 1011 => 1101 => 0010
[4,3,1,2,5] => 1100 => 0011 => 1100
[4,3,1,5,2] => 1101 => 1011 => 0100
[4,3,2,1,5] => 1110 => 0111 => 1000
[4,3,2,5,1] => 1101 => 1011 => 0100
[4,3,5,1,2] => 1010 => 0101 => 1010
[4,3,5,2,1] => 1011 => 1101 => 0010
[4,5,1,2,3] => 0100 => 0010 => 1101
[4,5,1,3,2] => 0101 => 1010 => 0101
[4,5,2,1,3] => 0110 => 0110 => 1001
[4,5,2,3,1] => 0101 => 1010 => 0101
[4,5,3,1,2] => 0110 => 0110 => 1001
[4,5,3,2,1] => 0111 => 1110 => 0001
[5,1,2,3,4] => 1000 => 0001 => 1110
[5,1,2,4,3] => 1001 => 1001 => 0110
[5,1,3,2,4] => 1010 => 0101 => 1010
[5,1,3,4,2] => 1001 => 1001 => 0110
[5,1,4,2,3] => 1010 => 0101 => 1010
[5,1,4,3,2] => 1011 => 1101 => 0010
[5,2,1,3,4] => 1100 => 0011 => 1100
[5,2,1,4,3] => 1101 => 1011 => 0100
[5,2,3,1,4] => 1010 => 0101 => 1010
[5,2,3,4,1] => 1001 => 1001 => 0110
[5,2,4,1,3] => 1010 => 0101 => 1010
[5,2,4,3,1] => 1011 => 1101 => 0010
[5,3,1,2,4] => 1100 => 0011 => 1100
[5,3,1,4,2] => 1101 => 1011 => 0100
[5,3,2,1,4] => 1110 => 0111 => 1000
[5,3,2,4,1] => 1101 => 1011 => 0100
[5,3,4,1,2] => 1010 => 0101 => 1010
[5,3,4,2,1] => 1011 => 1101 => 0010
[5,4,1,2,3] => 1100 => 0011 => 1100
[5,4,1,3,2] => 1101 => 1011 => 0100
[5,4,2,1,3] => 1110 => 0111 => 1000
[5,4,2,3,1] => 1101 => 1011 => 0100
[5,4,3,1,2] => 1110 => 0111 => 1000
[5,4,3,2,1] => 1111 => 1111 => 0000
[1,2,3,4,5,6] => 00000 => 00000 => 11111
[1,2,3,4,6,5] => 00001 => 10000 => 01111
[1,2,3,5,4,6] => 00010 => 01000 => 10111
[1,2,3,5,6,4] => 00001 => 10000 => 01111
[1,2,3,6,4,5] => 00010 => 01000 => 10111
[1,2,3,6,5,4] => 00011 => 11000 => 00111
[1,2,4,3,5,6] => 00100 => 00100 => 11011
[1,2,4,3,6,5] => 00101 => 10100 => 01011
[1,2,4,5,3,6] => 00010 => 01000 => 10111
[1,2,4,5,6,3] => 00001 => 10000 => 01111
[1,2,4,6,3,5] => 00010 => 01000 => 10111
[1,2,4,6,5,3] => 00011 => 11000 => 00111
[1,2,5,3,4,6] => 00100 => 00100 => 11011
[1,2,5,3,6,4] => 00101 => 10100 => 01011
[1,2,5,4,3,6] => 00110 => 01100 => 10011
[1,2,5,4,6,3] => 00101 => 10100 => 01011
[1,2,5,6,3,4] => 00010 => 01000 => 10111
[1,2,5,6,4,3] => 00011 => 11000 => 00111
[1,2,6,3,4,5] => 00100 => 00100 => 11011
[1,2,6,3,5,4] => 00101 => 10100 => 01011
[1,2,6,4,3,5] => 00110 => 01100 => 10011
[1,2,6,4,5,3] => 00101 => 10100 => 01011
[1,2,6,5,3,4] => 00110 => 01100 => 10011
[1,2,6,5,4,3] => 00111 => 11100 => 00011
[1,3,2,4,5,6] => 01000 => 00010 => 11101
[1,3,2,4,6,5] => 01001 => 10010 => 01101
[1,3,2,5,4,6] => 01010 => 01010 => 10101
[1,3,2,5,6,4] => 01001 => 10010 => 01101
[1,3,2,6,4,5] => 01010 => 01010 => 10101
[1,3,2,6,5,4] => 01011 => 11010 => 00101
[1,3,4,2,5,6] => 00100 => 00100 => 11011
[1,3,4,2,6,5] => 00101 => 10100 => 01011
[1,3,4,5,2,6] => 00010 => 01000 => 10111
[1,3,4,5,6,2] => 00001 => 10000 => 01111
[1,3,4,6,2,5] => 00010 => 01000 => 10111
[1,3,4,6,5,2] => 00011 => 11000 => 00111
[1,3,5,2,4,6] => 00100 => 00100 => 11011
[1,3,5,2,6,4] => 00101 => 10100 => 01011
[1,3,5,4,2,6] => 00110 => 01100 => 10011
[1,3,5,4,6,2] => 00101 => 10100 => 01011
[1,3,5,6,2,4] => 00010 => 01000 => 10111
[1,3,5,6,4,2] => 00011 => 11000 => 00111
[1,3,6,2,4,5] => 00100 => 00100 => 11011
[1,3,6,2,5,4] => 00101 => 10100 => 01011
[1,3,6,4,2,5] => 00110 => 01100 => 10011
[1,3,6,4,5,2] => 00101 => 10100 => 01011
[1,3,6,5,2,4] => 00110 => 01100 => 10011
[1,3,6,5,4,2] => 00111 => 11100 => 00011
[1,4,2,3,5,6] => 01000 => 00010 => 11101
[1,4,2,3,6,5] => 01001 => 10010 => 01101
[1,4,2,5,3,6] => 01010 => 01010 => 10101
[1,4,2,5,6,3] => 01001 => 10010 => 01101
[1,4,2,6,3,5] => 01010 => 01010 => 10101
[1,4,2,6,5,3] => 01011 => 11010 => 00101
[1,4,3,2,5,6] => 01100 => 00110 => 11001
[1,4,3,2,6,5] => 01101 => 10110 => 01001
[1,4,3,5,2,6] => 01010 => 01010 => 10101
[1,4,3,5,6,2] => 01001 => 10010 => 01101
[1,4,3,6,2,5] => 01010 => 01010 => 10101
[1,4,3,6,5,2] => 01011 => 11010 => 00101
[1,4,5,2,3,6] => 00100 => 00100 => 11011
[1,4,5,2,6,3] => 00101 => 10100 => 01011
[1,4,5,3,2,6] => 00110 => 01100 => 10011
[1,4,5,3,6,2] => 00101 => 10100 => 01011
[1,4,5,6,2,3] => 00010 => 01000 => 10111
[1,4,5,6,3,2] => 00011 => 11000 => 00111
[1,4,6,2,3,5] => 00100 => 00100 => 11011
[1,4,6,2,5,3] => 00101 => 10100 => 01011
[1,4,6,3,2,5] => 00110 => 01100 => 10011
[1,4,6,3,5,2] => 00101 => 10100 => 01011
[1,4,6,5,2,3] => 00110 => 01100 => 10011
[1,4,6,5,3,2] => 00111 => 11100 => 00011
[1,5,2,3,4,6] => 01000 => 00010 => 11101
[1,5,2,3,6,4] => 01001 => 10010 => 01101
[1,5,2,4,3,6] => 01010 => 01010 => 10101
[1,5,2,4,6,3] => 01001 => 10010 => 01101
[1,5,2,6,3,4] => 01010 => 01010 => 10101
[1,5,2,6,4,3] => 01011 => 11010 => 00101
[1,5,3,2,4,6] => 01100 => 00110 => 11001
[1,5,3,2,6,4] => 01101 => 10110 => 01001
[1,5,3,4,2,6] => 01010 => 01010 => 10101
[1,5,3,4,6,2] => 01001 => 10010 => 01101
[1,5,3,6,2,4] => 01010 => 01010 => 10101
[1,5,3,6,4,2] => 01011 => 11010 => 00101
[1,5,4,2,3,6] => 01100 => 00110 => 11001
[1,5,4,2,6,3] => 01101 => 10110 => 01001
[1,5,4,3,2,6] => 01110 => 01110 => 10001
[1,5,4,3,6,2] => 01101 => 10110 => 01001
[1,5,4,6,2,3] => 01010 => 01010 => 10101
[1,5,4,6,3,2] => 01011 => 11010 => 00101
[1,5,6,2,3,4] => 00100 => 00100 => 11011
[1,5,6,2,4,3] => 00101 => 10100 => 01011
[1,5,6,3,2,4] => 00110 => 01100 => 10011
[1,5,6,3,4,2] => 00101 => 10100 => 01011
[1,5,6,4,2,3] => 00110 => 01100 => 10011
[1,5,6,4,3,2] => 00111 => 11100 => 00011
[1,6,2,3,4,5] => 01000 => 00010 => 11101
[1,6,2,3,5,4] => 01001 => 10010 => 01101
[1,6,2,4,3,5] => 01010 => 01010 => 10101
[1,6,2,4,5,3] => 01001 => 10010 => 01101
[1,6,2,5,3,4] => 01010 => 01010 => 10101
[1,6,2,5,4,3] => 01011 => 11010 => 00101
[1,6,3,2,4,5] => 01100 => 00110 => 11001
[1,6,3,2,5,4] => 01101 => 10110 => 01001
[1,6,3,4,2,5] => 01010 => 01010 => 10101
[1,6,3,4,5,2] => 01001 => 10010 => 01101
[1,6,3,5,2,4] => 01010 => 01010 => 10101
[1,6,3,5,4,2] => 01011 => 11010 => 00101
[1,6,4,2,3,5] => 01100 => 00110 => 11001
[1,6,4,2,5,3] => 01101 => 10110 => 01001
[1,6,4,3,2,5] => 01110 => 01110 => 10001
[1,6,4,3,5,2] => 01101 => 10110 => 01001
[1,6,4,5,2,3] => 01010 => 01010 => 10101
[1,6,4,5,3,2] => 01011 => 11010 => 00101
[1,6,5,2,3,4] => 01100 => 00110 => 11001
[1,6,5,2,4,3] => 01101 => 10110 => 01001
[1,6,5,3,2,4] => 01110 => 01110 => 10001
[1,6,5,3,4,2] => 01101 => 10110 => 01001
[1,6,5,4,2,3] => 01110 => 01110 => 10001
[1,6,5,4,3,2] => 01111 => 11110 => 00001
[2,1,3,4,5,6] => 10000 => 00001 => 11110
[2,1,3,4,6,5] => 10001 => 10001 => 01110
[2,1,3,5,4,6] => 10010 => 01001 => 10110
[2,1,3,5,6,4] => 10001 => 10001 => 01110
[2,1,3,6,4,5] => 10010 => 01001 => 10110
[2,1,3,6,5,4] => 10011 => 11001 => 00110
[2,1,4,3,5,6] => 10100 => 00101 => 11010
[2,1,4,3,6,5] => 10101 => 10101 => 01010
[2,1,4,5,3,6] => 10010 => 01001 => 10110
[2,1,4,5,6,3] => 10001 => 10001 => 01110
[2,1,4,6,3,5] => 10010 => 01001 => 10110
[2,1,4,6,5,3] => 10011 => 11001 => 00110
[2,1,5,3,4,6] => 10100 => 00101 => 11010
[2,1,5,3,6,4] => 10101 => 10101 => 01010
[2,1,5,4,3,6] => 10110 => 01101 => 10010
[2,1,5,4,6,3] => 10101 => 10101 => 01010
[2,1,5,6,3,4] => 10010 => 01001 => 10110
[2,1,5,6,4,3] => 10011 => 11001 => 00110
[2,1,6,3,4,5] => 10100 => 00101 => 11010
[2,1,6,3,5,4] => 10101 => 10101 => 01010
[2,1,6,4,3,5] => 10110 => 01101 => 10010
[2,1,6,4,5,3] => 10101 => 10101 => 01010
[2,1,6,5,3,4] => 10110 => 01101 => 10010
[2,1,6,5,4,3] => 10111 => 11101 => 00010
[2,3,1,4,5,6] => 01000 => 00010 => 11101
[2,3,1,4,6,5] => 01001 => 10010 => 01101
[2,3,1,5,4,6] => 01010 => 01010 => 10101
[2,3,1,5,6,4] => 01001 => 10010 => 01101
[2,3,1,6,4,5] => 01010 => 01010 => 10101
[2,3,1,6,5,4] => 01011 => 11010 => 00101
[2,3,4,1,5,6] => 00100 => 00100 => 11011
[2,3,4,1,6,5] => 00101 => 10100 => 01011
[2,3,4,5,1,6] => 00010 => 01000 => 10111
[2,3,4,5,6,1] => 00001 => 10000 => 01111
[2,3,4,6,1,5] => 00010 => 01000 => 10111
[2,3,4,6,5,1] => 00011 => 11000 => 00111
[2,3,5,1,4,6] => 00100 => 00100 => 11011
[2,3,5,1,6,4] => 00101 => 10100 => 01011
[2,3,5,4,1,6] => 00110 => 01100 => 10011
[2,3,5,4,6,1] => 00101 => 10100 => 01011
[2,3,5,6,1,4] => 00010 => 01000 => 10111
[2,3,5,6,4,1] => 00011 => 11000 => 00111
[2,3,6,1,4,5] => 00100 => 00100 => 11011
[2,3,6,1,5,4] => 00101 => 10100 => 01011
[2,3,6,4,1,5] => 00110 => 01100 => 10011
[2,3,6,4,5,1] => 00101 => 10100 => 01011
[2,3,6,5,1,4] => 00110 => 01100 => 10011
[2,3,6,5,4,1] => 00111 => 11100 => 00011
[2,4,1,3,5,6] => 01000 => 00010 => 11101
[2,4,1,3,6,5] => 01001 => 10010 => 01101
[2,4,1,5,3,6] => 01010 => 01010 => 10101
[2,4,1,5,6,3] => 01001 => 10010 => 01101
[2,4,1,6,3,5] => 01010 => 01010 => 10101
[2,4,1,6,5,3] => 01011 => 11010 => 00101
[2,4,3,1,5,6] => 01100 => 00110 => 11001
[2,4,3,1,6,5] => 01101 => 10110 => 01001
[2,4,3,5,1,6] => 01010 => 01010 => 10101
[2,4,3,5,6,1] => 01001 => 10010 => 01101
[2,4,3,6,1,5] => 01010 => 01010 => 10101
[2,4,3,6,5,1] => 01011 => 11010 => 00101
[2,4,5,1,3,6] => 00100 => 00100 => 11011
[2,4,5,1,6,3] => 00101 => 10100 => 01011
[2,4,5,3,1,6] => 00110 => 01100 => 10011
[2,4,5,3,6,1] => 00101 => 10100 => 01011
[2,4,5,6,1,3] => 00010 => 01000 => 10111
[2,4,5,6,3,1] => 00011 => 11000 => 00111
[2,4,6,1,3,5] => 00100 => 00100 => 11011
[2,4,6,1,5,3] => 00101 => 10100 => 01011
[2,4,6,3,1,5] => 00110 => 01100 => 10011
[2,4,6,3,5,1] => 00101 => 10100 => 01011
[2,4,6,5,1,3] => 00110 => 01100 => 10011
[2,4,6,5,3,1] => 00111 => 11100 => 00011
[2,5,1,3,4,6] => 01000 => 00010 => 11101
[2,5,1,3,6,4] => 01001 => 10010 => 01101
[2,5,1,4,3,6] => 01010 => 01010 => 10101
[2,5,1,4,6,3] => 01001 => 10010 => 01101
[2,5,1,6,3,4] => 01010 => 01010 => 10101
[2,5,1,6,4,3] => 01011 => 11010 => 00101
[2,5,3,1,4,6] => 01100 => 00110 => 11001
[2,5,3,1,6,4] => 01101 => 10110 => 01001
[2,5,3,4,1,6] => 01010 => 01010 => 10101
[2,5,3,4,6,1] => 01001 => 10010 => 01101
[2,5,3,6,1,4] => 01010 => 01010 => 10101
[2,5,3,6,4,1] => 01011 => 11010 => 00101
[2,5,4,1,3,6] => 01100 => 00110 => 11001
[2,5,4,1,6,3] => 01101 => 10110 => 01001
[2,5,4,3,1,6] => 01110 => 01110 => 10001
[2,5,4,3,6,1] => 01101 => 10110 => 01001
[2,5,4,6,1,3] => 01010 => 01010 => 10101
[2,5,4,6,3,1] => 01011 => 11010 => 00101
[2,5,6,1,3,4] => 00100 => 00100 => 11011
[2,5,6,1,4,3] => 00101 => 10100 => 01011
[2,5,6,3,1,4] => 00110 => 01100 => 10011
[2,5,6,3,4,1] => 00101 => 10100 => 01011
[2,5,6,4,1,3] => 00110 => 01100 => 10011
[2,5,6,4,3,1] => 00111 => 11100 => 00011
[2,6,1,3,4,5] => 01000 => 00010 => 11101
[2,6,1,3,5,4] => 01001 => 10010 => 01101
[2,6,1,4,3,5] => 01010 => 01010 => 10101
[2,6,1,4,5,3] => 01001 => 10010 => 01101
[2,6,1,5,3,4] => 01010 => 01010 => 10101
[2,6,1,5,4,3] => 01011 => 11010 => 00101
[2,6,3,1,4,5] => 01100 => 00110 => 11001
[2,6,3,1,5,4] => 01101 => 10110 => 01001
[2,6,3,4,1,5] => 01010 => 01010 => 10101
[2,6,3,4,5,1] => 01001 => 10010 => 01101
[2,6,3,5,1,4] => 01010 => 01010 => 10101
[2,6,3,5,4,1] => 01011 => 11010 => 00101
[2,6,4,1,3,5] => 01100 => 00110 => 11001
[2,6,4,1,5,3] => 01101 => 10110 => 01001
[2,6,4,3,1,5] => 01110 => 01110 => 10001
[2,6,4,3,5,1] => 01101 => 10110 => 01001
[2,6,4,5,1,3] => 01010 => 01010 => 10101
[2,6,4,5,3,1] => 01011 => 11010 => 00101
[2,6,5,1,3,4] => 01100 => 00110 => 11001
[2,6,5,1,4,3] => 01101 => 10110 => 01001
[2,6,5,3,1,4] => 01110 => 01110 => 10001
[2,6,5,3,4,1] => 01101 => 10110 => 01001
[2,6,5,4,1,3] => 01110 => 01110 => 10001
[2,6,5,4,3,1] => 01111 => 11110 => 00001
[3,1,2,4,5,6] => 10000 => 00001 => 11110
[3,1,2,4,6,5] => 10001 => 10001 => 01110
[3,1,2,5,4,6] => 10010 => 01001 => 10110
[3,1,2,5,6,4] => 10001 => 10001 => 01110
[3,1,2,6,4,5] => 10010 => 01001 => 10110
[3,1,2,6,5,4] => 10011 => 11001 => 00110
[3,1,4,2,5,6] => 10100 => 00101 => 11010
[3,1,4,2,6,5] => 10101 => 10101 => 01010
[3,1,4,5,2,6] => 10010 => 01001 => 10110
[3,1,4,5,6,2] => 10001 => 10001 => 01110
[3,1,4,6,2,5] => 10010 => 01001 => 10110
[3,1,4,6,5,2] => 10011 => 11001 => 00110
[3,1,5,2,4,6] => 10100 => 00101 => 11010
[3,1,5,2,6,4] => 10101 => 10101 => 01010
[3,1,5,4,2,6] => 10110 => 01101 => 10010
[3,1,5,4,6,2] => 10101 => 10101 => 01010
[3,1,5,6,2,4] => 10010 => 01001 => 10110
[3,1,5,6,4,2] => 10011 => 11001 => 00110
[3,1,6,2,4,5] => 10100 => 00101 => 11010
[3,1,6,2,5,4] => 10101 => 10101 => 01010
[3,1,6,4,2,5] => 10110 => 01101 => 10010
[3,1,6,4,5,2] => 10101 => 10101 => 01010
[3,1,6,5,2,4] => 10110 => 01101 => 10010
[3,1,6,5,4,2] => 10111 => 11101 => 00010
[3,2,1,4,5,6] => 11000 => 00011 => 11100
[3,2,1,4,6,5] => 11001 => 10011 => 01100
[3,2,1,5,4,6] => 11010 => 01011 => 10100
[3,2,1,5,6,4] => 11001 => 10011 => 01100
[3,2,1,6,4,5] => 11010 => 01011 => 10100
[3,2,1,6,5,4] => 11011 => 11011 => 00100
[3,2,4,1,5,6] => 10100 => 00101 => 11010
[3,2,4,1,6,5] => 10101 => 10101 => 01010
[3,2,4,5,1,6] => 10010 => 01001 => 10110
[3,2,4,5,6,1] => 10001 => 10001 => 01110
[3,2,4,6,1,5] => 10010 => 01001 => 10110
[3,2,4,6,5,1] => 10011 => 11001 => 00110
[3,2,5,1,4,6] => 10100 => 00101 => 11010
[3,2,5,1,6,4] => 10101 => 10101 => 01010
[3,2,5,4,1,6] => 10110 => 01101 => 10010
[3,2,5,4,6,1] => 10101 => 10101 => 01010
[3,2,5,6,1,4] => 10010 => 01001 => 10110
[3,2,5,6,4,1] => 10011 => 11001 => 00110
[3,2,6,1,4,5] => 10100 => 00101 => 11010
[3,2,6,1,5,4] => 10101 => 10101 => 01010
[3,2,6,4,1,5] => 10110 => 01101 => 10010
[3,2,6,4,5,1] => 10101 => 10101 => 01010
[3,2,6,5,1,4] => 10110 => 01101 => 10010
[3,2,6,5,4,1] => 10111 => 11101 => 00010
[3,4,1,2,5,6] => 01000 => 00010 => 11101
[3,4,1,2,6,5] => 01001 => 10010 => 01101
[3,4,1,5,2,6] => 01010 => 01010 => 10101
[3,4,1,5,6,2] => 01001 => 10010 => 01101
[3,4,1,6,2,5] => 01010 => 01010 => 10101
[3,4,1,6,5,2] => 01011 => 11010 => 00101
[3,4,2,1,5,6] => 01100 => 00110 => 11001
[3,4,2,1,6,5] => 01101 => 10110 => 01001
[3,4,2,5,1,6] => 01010 => 01010 => 10101
[3,4,2,5,6,1] => 01001 => 10010 => 01101
[3,4,2,6,1,5] => 01010 => 01010 => 10101
[3,4,2,6,5,1] => 01011 => 11010 => 00101
[3,4,5,1,2,6] => 00100 => 00100 => 11011
[3,4,5,1,6,2] => 00101 => 10100 => 01011
[3,4,5,2,1,6] => 00110 => 01100 => 10011
[3,4,5,2,6,1] => 00101 => 10100 => 01011
[3,4,5,6,1,2] => 00010 => 01000 => 10111
[3,4,5,6,2,1] => 00011 => 11000 => 00111
[3,4,6,1,2,5] => 00100 => 00100 => 11011
[3,4,6,1,5,2] => 00101 => 10100 => 01011
[3,4,6,2,1,5] => 00110 => 01100 => 10011
[3,4,6,2,5,1] => 00101 => 10100 => 01011
[3,4,6,5,1,2] => 00110 => 01100 => 10011
[3,4,6,5,2,1] => 00111 => 11100 => 00011
[3,5,1,2,4,6] => 01000 => 00010 => 11101
[3,5,1,2,6,4] => 01001 => 10010 => 01101
[3,5,1,4,2,6] => 01010 => 01010 => 10101
[3,5,1,4,6,2] => 01001 => 10010 => 01101
[3,5,1,6,2,4] => 01010 => 01010 => 10101
[3,5,1,6,4,2] => 01011 => 11010 => 00101
[3,5,2,1,4,6] => 01100 => 00110 => 11001
[3,5,2,1,6,4] => 01101 => 10110 => 01001
[3,5,2,4,1,6] => 01010 => 01010 => 10101
[3,5,2,4,6,1] => 01001 => 10010 => 01101
[3,5,2,6,1,4] => 01010 => 01010 => 10101
[3,5,2,6,4,1] => 01011 => 11010 => 00101
[3,5,4,1,2,6] => 01100 => 00110 => 11001
[3,5,4,1,6,2] => 01101 => 10110 => 01001
[3,5,4,2,1,6] => 01110 => 01110 => 10001
[3,5,4,2,6,1] => 01101 => 10110 => 01001
[3,5,4,6,1,2] => 01010 => 01010 => 10101
[3,5,4,6,2,1] => 01011 => 11010 => 00101
[3,5,6,1,2,4] => 00100 => 00100 => 11011
[3,5,6,1,4,2] => 00101 => 10100 => 01011
[3,5,6,2,1,4] => 00110 => 01100 => 10011
[3,5,6,2,4,1] => 00101 => 10100 => 01011
[3,5,6,4,1,2] => 00110 => 01100 => 10011
[3,5,6,4,2,1] => 00111 => 11100 => 00011
[3,6,1,2,4,5] => 01000 => 00010 => 11101
[3,6,1,2,5,4] => 01001 => 10010 => 01101
[3,6,1,4,2,5] => 01010 => 01010 => 10101
[3,6,1,4,5,2] => 01001 => 10010 => 01101
[3,6,1,5,2,4] => 01010 => 01010 => 10101
[3,6,1,5,4,2] => 01011 => 11010 => 00101
[3,6,2,1,4,5] => 01100 => 00110 => 11001
[3,6,2,1,5,4] => 01101 => 10110 => 01001
[3,6,2,4,1,5] => 01010 => 01010 => 10101
[3,6,2,4,5,1] => 01001 => 10010 => 01101
[3,6,2,5,1,4] => 01010 => 01010 => 10101
[3,6,2,5,4,1] => 01011 => 11010 => 00101
[3,6,4,1,2,5] => 01100 => 00110 => 11001
[3,6,4,1,5,2] => 01101 => 10110 => 01001
[3,6,4,2,1,5] => 01110 => 01110 => 10001
[3,6,4,2,5,1] => 01101 => 10110 => 01001
[3,6,4,5,1,2] => 01010 => 01010 => 10101
[3,6,4,5,2,1] => 01011 => 11010 => 00101
[3,6,5,1,2,4] => 01100 => 00110 => 11001
[3,6,5,1,4,2] => 01101 => 10110 => 01001
[3,6,5,2,1,4] => 01110 => 01110 => 10001
[3,6,5,2,4,1] => 01101 => 10110 => 01001
[3,6,5,4,1,2] => 01110 => 01110 => 10001
[3,6,5,4,2,1] => 01111 => 11110 => 00001
[4,1,2,3,5,6] => 10000 => 00001 => 11110
[4,1,2,3,6,5] => 10001 => 10001 => 01110
[4,1,2,5,3,6] => 10010 => 01001 => 10110
[4,1,2,5,6,3] => 10001 => 10001 => 01110
[4,1,2,6,3,5] => 10010 => 01001 => 10110
[4,1,2,6,5,3] => 10011 => 11001 => 00110
[4,1,3,2,5,6] => 10100 => 00101 => 11010
[4,1,3,2,6,5] => 10101 => 10101 => 01010
[4,1,3,5,2,6] => 10010 => 01001 => 10110
[4,1,3,5,6,2] => 10001 => 10001 => 01110
[4,1,3,6,2,5] => 10010 => 01001 => 10110
[4,1,3,6,5,2] => 10011 => 11001 => 00110
[4,1,5,2,3,6] => 10100 => 00101 => 11010
[4,1,5,2,6,3] => 10101 => 10101 => 01010
[4,1,5,3,2,6] => 10110 => 01101 => 10010
[4,1,5,3,6,2] => 10101 => 10101 => 01010
[4,1,5,6,2,3] => 10010 => 01001 => 10110
[4,1,5,6,3,2] => 10011 => 11001 => 00110
[4,1,6,2,3,5] => 10100 => 00101 => 11010
[4,1,6,2,5,3] => 10101 => 10101 => 01010
[4,1,6,3,2,5] => 10110 => 01101 => 10010
[4,1,6,3,5,2] => 10101 => 10101 => 01010
[4,1,6,5,2,3] => 10110 => 01101 => 10010
[4,1,6,5,3,2] => 10111 => 11101 => 00010
[4,2,1,3,5,6] => 11000 => 00011 => 11100
[4,2,1,3,6,5] => 11001 => 10011 => 01100
[4,2,1,5,3,6] => 11010 => 01011 => 10100
[4,2,1,5,6,3] => 11001 => 10011 => 01100
[4,2,1,6,3,5] => 11010 => 01011 => 10100
[4,2,1,6,5,3] => 11011 => 11011 => 00100
[4,2,3,1,5,6] => 10100 => 00101 => 11010
[4,2,3,1,6,5] => 10101 => 10101 => 01010
[4,2,3,5,1,6] => 10010 => 01001 => 10110
[4,2,3,5,6,1] => 10001 => 10001 => 01110
[4,2,3,6,1,5] => 10010 => 01001 => 10110
[4,2,3,6,5,1] => 10011 => 11001 => 00110
[4,2,5,1,3,6] => 10100 => 00101 => 11010
[4,2,5,1,6,3] => 10101 => 10101 => 01010
[4,2,5,3,1,6] => 10110 => 01101 => 10010
[4,2,5,3,6,1] => 10101 => 10101 => 01010
[4,2,5,6,1,3] => 10010 => 01001 => 10110
[4,2,5,6,3,1] => 10011 => 11001 => 00110
[4,2,6,1,3,5] => 10100 => 00101 => 11010
[4,2,6,1,5,3] => 10101 => 10101 => 01010
[4,2,6,3,1,5] => 10110 => 01101 => 10010
[4,2,6,3,5,1] => 10101 => 10101 => 01010
[4,2,6,5,1,3] => 10110 => 01101 => 10010
[4,2,6,5,3,1] => 10111 => 11101 => 00010
[4,3,1,2,5,6] => 11000 => 00011 => 11100
[4,3,1,2,6,5] => 11001 => 10011 => 01100
[4,3,1,5,2,6] => 11010 => 01011 => 10100
[4,3,1,5,6,2] => 11001 => 10011 => 01100
[4,3,1,6,2,5] => 11010 => 01011 => 10100
[4,3,1,6,5,2] => 11011 => 11011 => 00100
[4,3,2,1,5,6] => 11100 => 00111 => 11000
[4,3,2,1,6,5] => 11101 => 10111 => 01000
[4,3,2,5,1,6] => 11010 => 01011 => 10100
[4,3,2,5,6,1] => 11001 => 10011 => 01100
[4,3,2,6,1,5] => 11010 => 01011 => 10100
[4,3,2,6,5,1] => 11011 => 11011 => 00100
[4,3,5,1,2,6] => 10100 => 00101 => 11010
[4,3,5,1,6,2] => 10101 => 10101 => 01010
[4,3,5,2,1,6] => 10110 => 01101 => 10010
[4,3,5,2,6,1] => 10101 => 10101 => 01010
[4,3,5,6,1,2] => 10010 => 01001 => 10110
[4,3,5,6,2,1] => 10011 => 11001 => 00110
[4,3,6,1,2,5] => 10100 => 00101 => 11010
[4,3,6,1,5,2] => 10101 => 10101 => 01010
[4,3,6,2,1,5] => 10110 => 01101 => 10010
[4,3,6,2,5,1] => 10101 => 10101 => 01010
[4,3,6,5,1,2] => 10110 => 01101 => 10010
[4,3,6,5,2,1] => 10111 => 11101 => 00010
[4,5,1,2,3,6] => 01000 => 00010 => 11101
[4,5,1,2,6,3] => 01001 => 10010 => 01101
[4,5,1,3,2,6] => 01010 => 01010 => 10101
[4,5,1,3,6,2] => 01001 => 10010 => 01101
[4,5,1,6,2,3] => 01010 => 01010 => 10101
[4,5,1,6,3,2] => 01011 => 11010 => 00101
[4,5,2,1,3,6] => 01100 => 00110 => 11001
[4,5,2,1,6,3] => 01101 => 10110 => 01001
[4,5,2,3,1,6] => 01010 => 01010 => 10101
[4,5,2,3,6,1] => 01001 => 10010 => 01101
[4,5,2,6,1,3] => 01010 => 01010 => 10101
[4,5,2,6,3,1] => 01011 => 11010 => 00101
[4,5,3,1,2,6] => 01100 => 00110 => 11001
[4,5,3,1,6,2] => 01101 => 10110 => 01001
[4,5,3,2,1,6] => 01110 => 01110 => 10001
[4,5,3,2,6,1] => 01101 => 10110 => 01001
[4,5,3,6,1,2] => 01010 => 01010 => 10101
[4,5,3,6,2,1] => 01011 => 11010 => 00101
[4,5,6,1,2,3] => 00100 => 00100 => 11011
[4,5,6,1,3,2] => 00101 => 10100 => 01011
[4,5,6,2,1,3] => 00110 => 01100 => 10011
[4,5,6,2,3,1] => 00101 => 10100 => 01011
[4,5,6,3,1,2] => 00110 => 01100 => 10011
[4,5,6,3,2,1] => 00111 => 11100 => 00011
[4,6,1,2,3,5] => 01000 => 00010 => 11101
[4,6,1,2,5,3] => 01001 => 10010 => 01101
[4,6,1,3,2,5] => 01010 => 01010 => 10101
[4,6,1,3,5,2] => 01001 => 10010 => 01101
[4,6,1,5,2,3] => 01010 => 01010 => 10101
[4,6,1,5,3,2] => 01011 => 11010 => 00101
[4,6,2,1,3,5] => 01100 => 00110 => 11001
[4,6,2,1,5,3] => 01101 => 10110 => 01001
[4,6,2,3,1,5] => 01010 => 01010 => 10101
[4,6,2,3,5,1] => 01001 => 10010 => 01101
[4,6,2,5,1,3] => 01010 => 01010 => 10101
[4,6,2,5,3,1] => 01011 => 11010 => 00101
[4,6,3,1,2,5] => 01100 => 00110 => 11001
[4,6,3,1,5,2] => 01101 => 10110 => 01001
[4,6,3,2,1,5] => 01110 => 01110 => 10001
[4,6,3,2,5,1] => 01101 => 10110 => 01001
[4,6,3,5,1,2] => 01010 => 01010 => 10101
[4,6,3,5,2,1] => 01011 => 11010 => 00101
[4,6,5,1,2,3] => 01100 => 00110 => 11001
[4,6,5,1,3,2] => 01101 => 10110 => 01001
[4,6,5,2,1,3] => 01110 => 01110 => 10001
[4,6,5,2,3,1] => 01101 => 10110 => 01001
[4,6,5,3,1,2] => 01110 => 01110 => 10001
[4,6,5,3,2,1] => 01111 => 11110 => 00001
[5,1,2,3,4,6] => 10000 => 00001 => 11110
[5,1,2,3,6,4] => 10001 => 10001 => 01110
[5,1,2,4,3,6] => 10010 => 01001 => 10110
[5,1,2,4,6,3] => 10001 => 10001 => 01110
[5,1,2,6,3,4] => 10010 => 01001 => 10110
[5,1,2,6,4,3] => 10011 => 11001 => 00110
[5,1,3,2,4,6] => 10100 => 00101 => 11010
[5,1,3,2,6,4] => 10101 => 10101 => 01010
[5,1,3,4,2,6] => 10010 => 01001 => 10110
[5,1,3,4,6,2] => 10001 => 10001 => 01110
[5,1,3,6,2,4] => 10010 => 01001 => 10110
[5,1,3,6,4,2] => 10011 => 11001 => 00110
[5,1,4,2,3,6] => 10100 => 00101 => 11010
[5,1,4,2,6,3] => 10101 => 10101 => 01010
[5,1,4,3,2,6] => 10110 => 01101 => 10010
[5,1,4,3,6,2] => 10101 => 10101 => 01010
[5,1,4,6,2,3] => 10010 => 01001 => 10110
[5,1,4,6,3,2] => 10011 => 11001 => 00110
[5,1,6,2,3,4] => 10100 => 00101 => 11010
[5,1,6,2,4,3] => 10101 => 10101 => 01010
[5,1,6,3,2,4] => 10110 => 01101 => 10010
[5,1,6,3,4,2] => 10101 => 10101 => 01010
[5,1,6,4,2,3] => 10110 => 01101 => 10010
[5,1,6,4,3,2] => 10111 => 11101 => 00010
[5,2,1,3,4,6] => 11000 => 00011 => 11100
[5,2,1,3,6,4] => 11001 => 10011 => 01100
[5,2,1,4,3,6] => 11010 => 01011 => 10100
[5,2,1,4,6,3] => 11001 => 10011 => 01100
[5,2,1,6,3,4] => 11010 => 01011 => 10100
[5,2,1,6,4,3] => 11011 => 11011 => 00100
[5,2,3,1,4,6] => 10100 => 00101 => 11010
[5,2,3,1,6,4] => 10101 => 10101 => 01010
[5,2,3,4,1,6] => 10010 => 01001 => 10110
[5,2,3,4,6,1] => 10001 => 10001 => 01110
[5,2,3,6,1,4] => 10010 => 01001 => 10110
[5,2,3,6,4,1] => 10011 => 11001 => 00110
[5,2,4,1,3,6] => 10100 => 00101 => 11010
[5,2,4,1,6,3] => 10101 => 10101 => 01010
[5,2,4,3,1,6] => 10110 => 01101 => 10010
[5,2,4,3,6,1] => 10101 => 10101 => 01010
[5,2,4,6,1,3] => 10010 => 01001 => 10110
[5,2,4,6,3,1] => 10011 => 11001 => 00110
[5,2,6,1,3,4] => 10100 => 00101 => 11010
[5,2,6,1,4,3] => 10101 => 10101 => 01010
[5,2,6,3,1,4] => 10110 => 01101 => 10010
[5,2,6,3,4,1] => 10101 => 10101 => 01010
[5,2,6,4,1,3] => 10110 => 01101 => 10010
[5,2,6,4,3,1] => 10111 => 11101 => 00010
[5,3,1,2,4,6] => 11000 => 00011 => 11100
[5,3,1,2,6,4] => 11001 => 10011 => 01100
[5,3,1,4,2,6] => 11010 => 01011 => 10100
[5,3,1,4,6,2] => 11001 => 10011 => 01100
[5,3,1,6,2,4] => 11010 => 01011 => 10100
[5,3,1,6,4,2] => 11011 => 11011 => 00100
[5,3,2,1,4,6] => 11100 => 00111 => 11000
[5,3,2,1,6,4] => 11101 => 10111 => 01000
[5,3,2,4,1,6] => 11010 => 01011 => 10100
[5,3,2,4,6,1] => 11001 => 10011 => 01100
[5,3,2,6,1,4] => 11010 => 01011 => 10100
[5,3,2,6,4,1] => 11011 => 11011 => 00100
[5,3,4,1,2,6] => 10100 => 00101 => 11010
[5,3,4,1,6,2] => 10101 => 10101 => 01010
[5,3,4,2,1,6] => 10110 => 01101 => 10010
[5,3,4,2,6,1] => 10101 => 10101 => 01010
[5,3,4,6,1,2] => 10010 => 01001 => 10110
[5,3,4,6,2,1] => 10011 => 11001 => 00110
[5,3,6,1,2,4] => 10100 => 00101 => 11010
[5,3,6,1,4,2] => 10101 => 10101 => 01010
[5,3,6,2,1,4] => 10110 => 01101 => 10010
[5,3,6,2,4,1] => 10101 => 10101 => 01010
[5,3,6,4,1,2] => 10110 => 01101 => 10010
[5,3,6,4,2,1] => 10111 => 11101 => 00010
[5,4,1,2,3,6] => 11000 => 00011 => 11100
[5,4,1,2,6,3] => 11001 => 10011 => 01100
[5,4,1,3,2,6] => 11010 => 01011 => 10100
[5,4,1,3,6,2] => 11001 => 10011 => 01100
[5,4,1,6,2,3] => 11010 => 01011 => 10100
[5,4,1,6,3,2] => 11011 => 11011 => 00100
[5,4,2,1,3,6] => 11100 => 00111 => 11000
[5,4,2,1,6,3] => 11101 => 10111 => 01000
[5,4,2,3,1,6] => 11010 => 01011 => 10100
[5,4,2,3,6,1] => 11001 => 10011 => 01100
[5,4,2,6,1,3] => 11010 => 01011 => 10100
[5,4,2,6,3,1] => 11011 => 11011 => 00100
[5,4,3,1,2,6] => 11100 => 00111 => 11000
[5,4,3,1,6,2] => 11101 => 10111 => 01000
[5,4,3,2,1,6] => 11110 => 01111 => 10000
[5,4,3,2,6,1] => 11101 => 10111 => 01000
[5,4,3,6,1,2] => 11010 => 01011 => 10100
[5,4,3,6,2,1] => 11011 => 11011 => 00100
[5,4,6,1,2,3] => 10100 => 00101 => 11010
[5,4,6,1,3,2] => 10101 => 10101 => 01010
[5,4,6,2,1,3] => 10110 => 01101 => 10010
[5,4,6,2,3,1] => 10101 => 10101 => 01010
[5,4,6,3,1,2] => 10110 => 01101 => 10010
[5,4,6,3,2,1] => 10111 => 11101 => 00010
[5,6,1,2,3,4] => 01000 => 00010 => 11101
[5,6,1,2,4,3] => 01001 => 10010 => 01101
[5,6,1,3,2,4] => 01010 => 01010 => 10101
[5,6,1,3,4,2] => 01001 => 10010 => 01101
[5,6,1,4,2,3] => 01010 => 01010 => 10101
[5,6,1,4,3,2] => 01011 => 11010 => 00101
[5,6,2,1,3,4] => 01100 => 00110 => 11001
[5,6,2,1,4,3] => 01101 => 10110 => 01001
[5,6,2,3,1,4] => 01010 => 01010 => 10101
[5,6,2,3,4,1] => 01001 => 10010 => 01101
[5,6,2,4,1,3] => 01010 => 01010 => 10101
[5,6,2,4,3,1] => 01011 => 11010 => 00101
[5,6,3,1,2,4] => 01100 => 00110 => 11001
[5,6,3,1,4,2] => 01101 => 10110 => 01001
[5,6,3,2,1,4] => 01110 => 01110 => 10001
[5,6,3,2,4,1] => 01101 => 10110 => 01001
[5,6,3,4,1,2] => 01010 => 01010 => 10101
[5,6,3,4,2,1] => 01011 => 11010 => 00101
[5,6,4,1,2,3] => 01100 => 00110 => 11001
[5,6,4,1,3,2] => 01101 => 10110 => 01001
[5,6,4,2,1,3] => 01110 => 01110 => 10001
[5,6,4,2,3,1] => 01101 => 10110 => 01001
[5,6,4,3,1,2] => 01110 => 01110 => 10001
[5,6,4,3,2,1] => 01111 => 11110 => 00001
[6,1,2,3,4,5] => 10000 => 00001 => 11110
[6,1,2,3,5,4] => 10001 => 10001 => 01110
[6,1,2,4,3,5] => 10010 => 01001 => 10110
[6,1,2,4,5,3] => 10001 => 10001 => 01110
[6,1,2,5,3,4] => 10010 => 01001 => 10110
[6,1,2,5,4,3] => 10011 => 11001 => 00110
[6,1,3,2,4,5] => 10100 => 00101 => 11010
[6,1,3,2,5,4] => 10101 => 10101 => 01010
[6,1,3,4,2,5] => 10010 => 01001 => 10110
[6,1,3,4,5,2] => 10001 => 10001 => 01110
[6,1,3,5,2,4] => 10010 => 01001 => 10110
[6,1,3,5,4,2] => 10011 => 11001 => 00110
[6,1,4,2,3,5] => 10100 => 00101 => 11010
[6,1,4,2,5,3] => 10101 => 10101 => 01010
[6,1,4,3,2,5] => 10110 => 01101 => 10010
[6,1,4,3,5,2] => 10101 => 10101 => 01010
[6,1,4,5,2,3] => 10010 => 01001 => 10110
[6,1,4,5,3,2] => 10011 => 11001 => 00110
[6,1,5,2,3,4] => 10100 => 00101 => 11010
[6,1,5,2,4,3] => 10101 => 10101 => 01010
[6,1,5,3,2,4] => 10110 => 01101 => 10010
[6,1,5,3,4,2] => 10101 => 10101 => 01010
[6,1,5,4,2,3] => 10110 => 01101 => 10010
[6,1,5,4,3,2] => 10111 => 11101 => 00010
[6,2,1,3,4,5] => 11000 => 00011 => 11100
[6,2,1,3,5,4] => 11001 => 10011 => 01100
[6,2,1,4,3,5] => 11010 => 01011 => 10100
[6,2,1,4,5,3] => 11001 => 10011 => 01100
[6,2,1,5,3,4] => 11010 => 01011 => 10100
[6,2,1,5,4,3] => 11011 => 11011 => 00100
[6,2,3,1,4,5] => 10100 => 00101 => 11010
[6,2,3,1,5,4] => 10101 => 10101 => 01010
[6,2,3,4,1,5] => 10010 => 01001 => 10110
[6,2,3,4,5,1] => 10001 => 10001 => 01110
[6,2,3,5,1,4] => 10010 => 01001 => 10110
[6,2,3,5,4,1] => 10011 => 11001 => 00110
[6,2,4,1,3,5] => 10100 => 00101 => 11010
[6,2,4,1,5,3] => 10101 => 10101 => 01010
[6,2,4,3,1,5] => 10110 => 01101 => 10010
[6,2,4,3,5,1] => 10101 => 10101 => 01010
[6,2,4,5,1,3] => 10010 => 01001 => 10110
[6,2,4,5,3,1] => 10011 => 11001 => 00110
[6,2,5,1,3,4] => 10100 => 00101 => 11010
[6,2,5,1,4,3] => 10101 => 10101 => 01010
[6,2,5,3,1,4] => 10110 => 01101 => 10010
[6,2,5,3,4,1] => 10101 => 10101 => 01010
[6,2,5,4,1,3] => 10110 => 01101 => 10010
[6,2,5,4,3,1] => 10111 => 11101 => 00010
[6,3,1,2,4,5] => 11000 => 00011 => 11100
[6,3,1,2,5,4] => 11001 => 10011 => 01100
[6,3,1,4,2,5] => 11010 => 01011 => 10100
[6,3,1,4,5,2] => 11001 => 10011 => 01100
[6,3,1,5,2,4] => 11010 => 01011 => 10100
[6,3,1,5,4,2] => 11011 => 11011 => 00100
[6,3,2,1,4,5] => 11100 => 00111 => 11000
[6,3,2,1,5,4] => 11101 => 10111 => 01000
[6,3,2,4,1,5] => 11010 => 01011 => 10100
[6,3,2,4,5,1] => 11001 => 10011 => 01100
[6,3,2,5,1,4] => 11010 => 01011 => 10100
[6,3,2,5,4,1] => 11011 => 11011 => 00100
[6,3,4,1,2,5] => 10100 => 00101 => 11010
[6,3,4,1,5,2] => 10101 => 10101 => 01010
[6,3,4,2,1,5] => 10110 => 01101 => 10010
[6,3,4,2,5,1] => 10101 => 10101 => 01010
[6,3,4,5,1,2] => 10010 => 01001 => 10110
[6,3,4,5,2,1] => 10011 => 11001 => 00110
[6,3,5,1,2,4] => 10100 => 00101 => 11010
[6,3,5,1,4,2] => 10101 => 10101 => 01010
[6,3,5,2,1,4] => 10110 => 01101 => 10010
[6,3,5,2,4,1] => 10101 => 10101 => 01010
[6,3,5,4,1,2] => 10110 => 01101 => 10010
[6,3,5,4,2,1] => 10111 => 11101 => 00010
[6,4,1,2,3,5] => 11000 => 00011 => 11100
[6,4,1,2,5,3] => 11001 => 10011 => 01100
[6,4,1,3,2,5] => 11010 => 01011 => 10100
[6,4,1,3,5,2] => 11001 => 10011 => 01100
[6,4,1,5,2,3] => 11010 => 01011 => 10100
[6,4,1,5,3,2] => 11011 => 11011 => 00100
[6,4,2,1,3,5] => 11100 => 00111 => 11000
[6,4,2,1,5,3] => 11101 => 10111 => 01000
[6,4,2,3,1,5] => 11010 => 01011 => 10100
[6,4,2,3,5,1] => 11001 => 10011 => 01100
[6,4,2,5,1,3] => 11010 => 01011 => 10100
[6,4,2,5,3,1] => 11011 => 11011 => 00100
[6,4,3,1,2,5] => 11100 => 00111 => 11000
[6,4,3,1,5,2] => 11101 => 10111 => 01000
[6,4,3,2,1,5] => 11110 => 01111 => 10000
[6,4,3,2,5,1] => 11101 => 10111 => 01000
[6,4,3,5,1,2] => 11010 => 01011 => 10100
[6,4,3,5,2,1] => 11011 => 11011 => 00100
[6,4,5,1,2,3] => 10100 => 00101 => 11010
[6,4,5,1,3,2] => 10101 => 10101 => 01010
[6,4,5,2,1,3] => 10110 => 01101 => 10010
[6,4,5,2,3,1] => 10101 => 10101 => 01010
[6,4,5,3,1,2] => 10110 => 01101 => 10010
[6,4,5,3,2,1] => 10111 => 11101 => 00010
[6,5,1,2,3,4] => 11000 => 00011 => 11100
[6,5,1,2,4,3] => 11001 => 10011 => 01100
[6,5,1,3,2,4] => 11010 => 01011 => 10100
[6,5,1,3,4,2] => 11001 => 10011 => 01100
[6,5,1,4,2,3] => 11010 => 01011 => 10100
[6,5,1,4,3,2] => 11011 => 11011 => 00100
[6,5,2,1,3,4] => 11100 => 00111 => 11000
[6,5,2,1,4,3] => 11101 => 10111 => 01000
[6,5,2,3,1,4] => 11010 => 01011 => 10100
[6,5,2,3,4,1] => 11001 => 10011 => 01100
[6,5,2,4,1,3] => 11010 => 01011 => 10100
[6,5,2,4,3,1] => 11011 => 11011 => 00100
[6,5,3,1,2,4] => 11100 => 00111 => 11000
[6,5,3,1,4,2] => 11101 => 10111 => 01000
[6,5,3,2,1,4] => 11110 => 01111 => 10000
[6,5,3,2,4,1] => 11101 => 10111 => 01000
[6,5,3,4,1,2] => 11010 => 01011 => 10100
[6,5,3,4,2,1] => 11011 => 11011 => 00100
[6,5,4,1,2,3] => 11100 => 00111 => 11000
[6,5,4,1,3,2] => 11101 => 10111 => 01000
[6,5,4,2,1,3] => 11110 => 01111 => 10000
[6,5,4,2,3,1] => 11101 => 10111 => 01000
[6,5,4,3,1,2] => 11110 => 01111 => 10000
[6,5,4,3,2,1] => 11111 => 11111 => 00000
[1,2,3,4,5,6,7] => 000000 => 000000 => 111111
[1,2,3,4,5,7,6] => 000001 => 100000 => 011111
[1,2,3,4,6,5,7] => 000010 => 010000 => 101111
[1,2,3,4,6,7,5] => 000001 => 100000 => 011111
[1,2,3,4,7,5,6] => 000010 => 010000 => 101111
[1,2,3,4,7,6,5] => 000011 => 110000 => 001111
[1,2,3,5,4,6,7] => 000100 => 001000 => 110111
[1,2,3,5,4,7,6] => 000101 => 101000 => 010111
[1,2,3,5,6,4,7] => 000010 => 010000 => 101111
[1,2,3,5,6,7,4] => 000001 => 100000 => 011111
[1,2,3,5,7,4,6] => 000010 => 010000 => 101111
[1,2,3,5,7,6,4] => 000011 => 110000 => 001111
[1,2,3,6,4,5,7] => 000100 => 001000 => 110111
[1,2,3,6,4,7,5] => 000101 => 101000 => 010111
[1,2,3,6,5,4,7] => 000110 => 011000 => 100111
[1,2,3,6,5,7,4] => 000101 => 101000 => 010111
[1,2,3,6,7,4,5] => 000010 => 010000 => 101111
[1,2,3,6,7,5,4] => 000011 => 110000 => 001111
[1,2,3,7,4,5,6] => 000100 => 001000 => 110111
[1,2,3,7,4,6,5] => 000101 => 101000 => 010111
[1,2,3,7,5,4,6] => 000110 => 011000 => 100111
[1,2,3,7,5,6,4] => 000101 => 101000 => 010111
[1,2,3,7,6,4,5] => 000110 => 011000 => 100111
[1,2,3,7,6,5,4] => 000111 => 111000 => 000111
[1,2,4,3,5,6,7] => 001000 => 000100 => 111011
[1,2,4,3,5,7,6] => 001001 => 100100 => 011011
[1,2,4,3,6,5,7] => 001010 => 010100 => 101011
[1,2,4,3,6,7,5] => 001001 => 100100 => 011011
[1,2,4,3,7,5,6] => 001010 => 010100 => 101011
[1,2,4,3,7,6,5] => 001011 => 110100 => 001011
[1,2,4,5,3,6,7] => 000100 => 001000 => 110111
[1,2,4,5,3,7,6] => 000101 => 101000 => 010111
[1,2,4,5,6,3,7] => 000010 => 010000 => 101111
[1,2,4,5,6,7,3] => 000001 => 100000 => 011111
[1,2,4,5,7,3,6] => 000010 => 010000 => 101111
[1,2,4,5,7,6,3] => 000011 => 110000 => 001111
[1,2,4,6,3,5,7] => 000100 => 001000 => 110111
[1,2,4,6,3,7,5] => 000101 => 101000 => 010111
[1,2,4,6,5,3,7] => 000110 => 011000 => 100111
[1,2,4,6,5,7,3] => 000101 => 101000 => 010111
[1,2,4,6,7,3,5] => 000010 => 010000 => 101111
[1,2,4,6,7,5,3] => 000011 => 110000 => 001111
[1,2,4,7,3,5,6] => 000100 => 001000 => 110111
[1,2,4,7,3,6,5] => 000101 => 101000 => 010111
[1,2,4,7,5,3,6] => 000110 => 011000 => 100111
[1,2,4,7,5,6,3] => 000101 => 101000 => 010111
[1,2,4,7,6,3,5] => 000110 => 011000 => 100111
[1,2,4,7,6,5,3] => 000111 => 111000 => 000111
[1,2,5,3,4,6,7] => 001000 => 000100 => 111011
[1,2,5,3,4,7,6] => 001001 => 100100 => 011011
[1,2,5,3,6,4,7] => 001010 => 010100 => 101011
[1,2,5,3,6,7,4] => 001001 => 100100 => 011011
[1,2,5,3,7,4,6] => 001010 => 010100 => 101011
[1,2,5,3,7,6,4] => 001011 => 110100 => 001011
[1,2,5,4,3,6,7] => 001100 => 001100 => 110011
[1,2,5,4,3,7,6] => 001101 => 101100 => 010011
[1,2,5,4,6,3,7] => 001010 => 010100 => 101011
[1,2,5,4,6,7,3] => 001001 => 100100 => 011011
[1,2,5,4,7,3,6] => 001010 => 010100 => 101011
[1,2,5,4,7,6,3] => 001011 => 110100 => 001011
[1,2,5,6,3,4,7] => 000100 => 001000 => 110111
[1,2,5,6,3,7,4] => 000101 => 101000 => 010111
[1,2,5,6,4,3,7] => 000110 => 011000 => 100111
[1,2,5,6,4,7,3] => 000101 => 101000 => 010111
[1,2,5,6,7,3,4] => 000010 => 010000 => 101111
[1,2,5,6,7,4,3] => 000011 => 110000 => 001111
[1,2,5,7,3,4,6] => 000100 => 001000 => 110111
[1,2,5,7,3,6,4] => 000101 => 101000 => 010111
[1,2,5,7,4,3,6] => 000110 => 011000 => 100111
[1,2,5,7,4,6,3] => 000101 => 101000 => 010111
[1,2,5,7,6,3,4] => 000110 => 011000 => 100111
[1,2,5,7,6,4,3] => 000111 => 111000 => 000111
[1,2,6,3,4,5,7] => 001000 => 000100 => 111011
[1,2,6,3,4,7,5] => 001001 => 100100 => 011011
[1,2,6,3,5,4,7] => 001010 => 010100 => 101011
[1,2,6,3,5,7,4] => 001001 => 100100 => 011011
[1,2,6,3,7,4,5] => 001010 => 010100 => 101011
[1,2,6,3,7,5,4] => 001011 => 110100 => 001011
[1,2,6,4,3,5,7] => 001100 => 001100 => 110011
[1,2,6,4,3,7,5] => 001101 => 101100 => 010011
[1,2,6,4,5,3,7] => 001010 => 010100 => 101011
[1,2,6,4,5,7,3] => 001001 => 100100 => 011011
[1,2,6,4,7,3,5] => 001010 => 010100 => 101011
[1,2,6,4,7,5,3] => 001011 => 110100 => 001011
[1,2,6,5,3,4,7] => 001100 => 001100 => 110011
[1,2,6,5,3,7,4] => 001101 => 101100 => 010011
[1,2,6,5,4,3,7] => 001110 => 011100 => 100011
[1,2,6,5,4,7,3] => 001101 => 101100 => 010011
[1,2,6,5,7,3,4] => 001010 => 010100 => 101011
[1,2,6,5,7,4,3] => 001011 => 110100 => 001011
[1,2,6,7,3,4,5] => 000100 => 001000 => 110111
[1,2,6,7,3,5,4] => 000101 => 101000 => 010111
[1,2,6,7,4,3,5] => 000110 => 011000 => 100111
[1,2,6,7,4,5,3] => 000101 => 101000 => 010111
[1,2,6,7,5,3,4] => 000110 => 011000 => 100111
[1,2,6,7,5,4,3] => 000111 => 111000 => 000111
[1,2,7,3,4,5,6] => 001000 => 000100 => 111011
[1,2,7,3,4,6,5] => 001001 => 100100 => 011011
[1,2,7,3,5,4,6] => 001010 => 010100 => 101011
[1,2,7,3,5,6,4] => 001001 => 100100 => 011011
[1,2,7,3,6,4,5] => 001010 => 010100 => 101011
[1,2,7,3,6,5,4] => 001011 => 110100 => 001011
[1,2,7,4,3,5,6] => 001100 => 001100 => 110011
[1,2,7,4,3,6,5] => 001101 => 101100 => 010011
[1,2,7,4,5,3,6] => 001010 => 010100 => 101011
[1,2,7,4,5,6,3] => 001001 => 100100 => 011011
[1,2,7,4,6,3,5] => 001010 => 010100 => 101011
[1,2,7,4,6,5,3] => 001011 => 110100 => 001011
[1,2,7,5,3,4,6] => 001100 => 001100 => 110011
[1,2,7,5,3,6,4] => 001101 => 101100 => 010011
[1,2,7,5,4,3,6] => 001110 => 011100 => 100011
[1,2,7,5,4,6,3] => 001101 => 101100 => 010011
[1,2,7,5,6,3,4] => 001010 => 010100 => 101011
[1,2,7,5,6,4,3] => 001011 => 110100 => 001011
[1,2,7,6,3,4,5] => 001100 => 001100 => 110011
[1,2,7,6,3,5,4] => 001101 => 101100 => 010011
[1,2,7,6,4,3,5] => 001110 => 011100 => 100011
[1,2,7,6,4,5,3] => 001101 => 101100 => 010011
[1,2,7,6,5,3,4] => 001110 => 011100 => 100011
[1,2,7,6,5,4,3] => 001111 => 111100 => 000011
[1,3,2,4,5,6,7] => 010000 => 000010 => 111101
[1,3,2,4,5,7,6] => 010001 => 100010 => 011101
[1,3,2,4,6,5,7] => 010010 => 010010 => 101101
[1,3,2,4,6,7,5] => 010001 => 100010 => 011101
[1,3,2,4,7,5,6] => 010010 => 010010 => 101101
[1,3,2,4,7,6,5] => 010011 => 110010 => 001101
[1,3,2,5,4,6,7] => 010100 => 001010 => 110101
[1,3,2,5,4,7,6] => 010101 => 101010 => 010101
[1,3,2,5,6,4,7] => 010010 => 010010 => 101101
[1,3,2,5,6,7,4] => 010001 => 100010 => 011101
[1,3,2,5,7,4,6] => 010010 => 010010 => 101101
[1,3,2,5,7,6,4] => 010011 => 110010 => 001101
[1,3,2,6,4,5,7] => 010100 => 001010 => 110101
[1,3,2,6,4,7,5] => 010101 => 101010 => 010101
[1,3,2,6,5,4,7] => 010110 => 011010 => 100101
[1,3,2,6,5,7,4] => 010101 => 101010 => 010101
[1,3,2,6,7,4,5] => 010010 => 010010 => 101101
[1,3,2,6,7,5,4] => 010011 => 110010 => 001101
[1,3,2,7,4,5,6] => 010100 => 001010 => 110101
[1,3,2,7,4,6,5] => 010101 => 101010 => 010101
[1,3,2,7,5,4,6] => 010110 => 011010 => 100101
[1,3,2,7,5,6,4] => 010101 => 101010 => 010101
[1,3,2,7,6,4,5] => 010110 => 011010 => 100101
[1,3,2,7,6,5,4] => 010111 => 111010 => 000101
[1,3,4,2,5,6,7] => 001000 => 000100 => 111011
[1,3,4,2,5,7,6] => 001001 => 100100 => 011011
[1,3,4,2,6,5,7] => 001010 => 010100 => 101011
[1,3,4,2,6,7,5] => 001001 => 100100 => 011011
[1,3,4,2,7,5,6] => 001010 => 010100 => 101011
[1,3,4,2,7,6,5] => 001011 => 110100 => 001011
[1,3,4,5,2,6,7] => 000100 => 001000 => 110111
[1,3,4,5,2,7,6] => 000101 => 101000 => 010111
[1,3,4,5,6,2,7] => 000010 => 010000 => 101111
[1,3,4,5,6,7,2] => 000001 => 100000 => 011111
[1,3,4,5,7,2,6] => 000010 => 010000 => 101111
[1,3,4,5,7,6,2] => 000011 => 110000 => 001111
[1,3,4,6,2,5,7] => 000100 => 001000 => 110111
[1,3,4,6,2,7,5] => 000101 => 101000 => 010111
[1,3,4,6,5,2,7] => 000110 => 011000 => 100111
[1,3,4,6,5,7,2] => 000101 => 101000 => 010111
[1,3,4,6,7,2,5] => 000010 => 010000 => 101111
[1,3,4,6,7,5,2] => 000011 => 110000 => 001111
[1,3,4,7,2,5,6] => 000100 => 001000 => 110111
[1,3,4,7,2,6,5] => 000101 => 101000 => 010111
[1,3,4,7,5,2,6] => 000110 => 011000 => 100111
[1,3,4,7,5,6,2] => 000101 => 101000 => 010111
[1,3,4,7,6,2,5] => 000110 => 011000 => 100111
[1,3,4,7,6,5,2] => 000111 => 111000 => 000111
[1,3,5,2,4,6,7] => 001000 => 000100 => 111011
[1,3,5,2,4,7,6] => 001001 => 100100 => 011011
[1,3,5,2,6,4,7] => 001010 => 010100 => 101011
[1,3,5,2,6,7,4] => 001001 => 100100 => 011011
[1,3,5,2,7,4,6] => 001010 => 010100 => 101011
[1,3,5,2,7,6,4] => 001011 => 110100 => 001011
[1,3,5,4,2,6,7] => 001100 => 001100 => 110011
[1,3,5,4,2,7,6] => 001101 => 101100 => 010011
[1,3,5,4,6,2,7] => 001010 => 010100 => 101011
[1,3,5,4,6,7,2] => 001001 => 100100 => 011011
[1,3,5,4,7,2,6] => 001010 => 010100 => 101011
[1,3,5,4,7,6,2] => 001011 => 110100 => 001011
[1,3,5,6,2,4,7] => 000100 => 001000 => 110111
[1,3,5,6,2,7,4] => 000101 => 101000 => 010111
[1,3,5,6,4,2,7] => 000110 => 011000 => 100111
[1,3,5,6,4,7,2] => 000101 => 101000 => 010111
[1,3,5,6,7,2,4] => 000010 => 010000 => 101111
[1,3,5,6,7,4,2] => 000011 => 110000 => 001111
[1,3,5,7,2,4,6] => 000100 => 001000 => 110111
[1,3,5,7,2,6,4] => 000101 => 101000 => 010111
[1,3,5,7,4,2,6] => 000110 => 011000 => 100111
[1,3,5,7,4,6,2] => 000101 => 101000 => 010111
[1,3,5,7,6,2,4] => 000110 => 011000 => 100111
[1,3,5,7,6,4,2] => 000111 => 111000 => 000111
[1,3,6,2,4,5,7] => 001000 => 000100 => 111011
[1,3,6,2,4,7,5] => 001001 => 100100 => 011011
[1,3,6,2,5,4,7] => 001010 => 010100 => 101011
[1,3,6,2,5,7,4] => 001001 => 100100 => 011011
[1,3,6,2,7,4,5] => 001010 => 010100 => 101011
[1,3,6,2,7,5,4] => 001011 => 110100 => 001011
[1,3,6,4,2,5,7] => 001100 => 001100 => 110011
[1,3,6,4,2,7,5] => 001101 => 101100 => 010011
[1,3,6,4,5,2,7] => 001010 => 010100 => 101011
[1,3,6,4,5,7,2] => 001001 => 100100 => 011011
[1,3,6,4,7,2,5] => 001010 => 010100 => 101011
[1,3,6,4,7,5,2] => 001011 => 110100 => 001011
[1,3,6,5,2,4,7] => 001100 => 001100 => 110011
[1,3,6,5,2,7,4] => 001101 => 101100 => 010011
[1,3,6,5,4,2,7] => 001110 => 011100 => 100011
[1,3,6,5,4,7,2] => 001101 => 101100 => 010011
[1,3,6,5,7,2,4] => 001010 => 010100 => 101011
[1,3,6,5,7,4,2] => 001011 => 110100 => 001011
[1,3,6,7,2,4,5] => 000100 => 001000 => 110111
[1,3,6,7,2,5,4] => 000101 => 101000 => 010111
[1,3,6,7,4,2,5] => 000110 => 011000 => 100111
[1,3,6,7,4,5,2] => 000101 => 101000 => 010111
[1,3,6,7,5,2,4] => 000110 => 011000 => 100111
[1,3,6,7,5,4,2] => 000111 => 111000 => 000111
[1,3,7,2,4,5,6] => 001000 => 000100 => 111011
[1,3,7,2,4,6,5] => 001001 => 100100 => 011011
[1,3,7,2,5,4,6] => 001010 => 010100 => 101011
[1,3,7,2,5,6,4] => 001001 => 100100 => 011011
[1,3,7,2,6,4,5] => 001010 => 010100 => 101011
[1,3,7,2,6,5,4] => 001011 => 110100 => 001011
[1,3,7,4,2,5,6] => 001100 => 001100 => 110011
[1,3,7,4,2,6,5] => 001101 => 101100 => 010011
[1,3,7,4,5,2,6] => 001010 => 010100 => 101011
[1,3,7,4,5,6,2] => 001001 => 100100 => 011011
[1,3,7,4,6,2,5] => 001010 => 010100 => 101011
[1,3,7,4,6,5,2] => 001011 => 110100 => 001011
[1,3,7,5,2,4,6] => 001100 => 001100 => 110011
[1,3,7,5,2,6,4] => 001101 => 101100 => 010011
[1,3,7,5,4,2,6] => 001110 => 011100 => 100011
[1,3,7,5,4,6,2] => 001101 => 101100 => 010011
[1,3,7,5,6,2,4] => 001010 => 010100 => 101011
[1,3,7,5,6,4,2] => 001011 => 110100 => 001011
[1,3,7,6,2,4,5] => 001100 => 001100 => 110011
[1,3,7,6,2,5,4] => 001101 => 101100 => 010011
[1,3,7,6,4,2,5] => 001110 => 011100 => 100011
[1,3,7,6,4,5,2] => 001101 => 101100 => 010011
[1,3,7,6,5,2,4] => 001110 => 011100 => 100011
[1,3,7,6,5,4,2] => 001111 => 111100 => 000011
[1,4,2,3,5,6,7] => 010000 => 000010 => 111101
[1,4,2,3,5,7,6] => 010001 => 100010 => 011101
[1,4,2,3,6,5,7] => 010010 => 010010 => 101101
[1,4,2,3,6,7,5] => 010001 => 100010 => 011101
[1,4,2,3,7,5,6] => 010010 => 010010 => 101101
[1,4,2,3,7,6,5] => 010011 => 110010 => 001101
[1,4,2,5,3,6,7] => 010100 => 001010 => 110101
[1,4,2,5,3,7,6] => 010101 => 101010 => 010101
[1,4,2,5,6,3,7] => 010010 => 010010 => 101101
[1,4,2,5,6,7,3] => 010001 => 100010 => 011101
[1,4,2,5,7,3,6] => 010010 => 010010 => 101101
[1,4,2,5,7,6,3] => 010011 => 110010 => 001101
[1,4,2,6,3,5,7] => 010100 => 001010 => 110101
[1,4,2,6,3,7,5] => 010101 => 101010 => 010101
[1,4,2,6,5,3,7] => 010110 => 011010 => 100101
[1,4,2,6,5,7,3] => 010101 => 101010 => 010101
[1,4,2,6,7,3,5] => 010010 => 010010 => 101101
[1,4,2,6,7,5,3] => 010011 => 110010 => 001101
[1,4,2,7,3,5,6] => 010100 => 001010 => 110101
[1,4,2,7,3,6,5] => 010101 => 101010 => 010101
[1,4,2,7,5,3,6] => 010110 => 011010 => 100101
[1,4,2,7,5,6,3] => 010101 => 101010 => 010101
[1,4,2,7,6,3,5] => 010110 => 011010 => 100101
[1,4,2,7,6,5,3] => 010111 => 111010 => 000101
[1,4,3,2,5,6,7] => 011000 => 000110 => 111001
[1,4,3,2,5,7,6] => 011001 => 100110 => 011001
[1,4,3,2,6,5,7] => 011010 => 010110 => 101001
[1,4,3,2,6,7,5] => 011001 => 100110 => 011001
[1,4,3,2,7,5,6] => 011010 => 010110 => 101001
[1,4,3,2,7,6,5] => 011011 => 110110 => 001001
[1,4,3,5,2,6,7] => 010100 => 001010 => 110101
[1,4,3,5,2,7,6] => 010101 => 101010 => 010101
[1,4,3,5,6,2,7] => 010010 => 010010 => 101101
[1,4,3,5,6,7,2] => 010001 => 100010 => 011101
[1,4,3,5,7,2,6] => 010010 => 010010 => 101101
[1,4,3,5,7,6,2] => 010011 => 110010 => 001101
[1,4,3,6,2,5,7] => 010100 => 001010 => 110101
[1,4,3,6,2,7,5] => 010101 => 101010 => 010101
[1,4,3,6,5,2,7] => 010110 => 011010 => 100101
[1,4,3,6,5,7,2] => 010101 => 101010 => 010101
[1,4,3,6,7,2,5] => 010010 => 010010 => 101101
[1,4,3,6,7,5,2] => 010011 => 110010 => 001101
[1,4,3,7,2,5,6] => 010100 => 001010 => 110101
[1,4,3,7,2,6,5] => 010101 => 101010 => 010101
[1,4,3,7,5,2,6] => 010110 => 011010 => 100101
[1,4,3,7,5,6,2] => 010101 => 101010 => 010101
[1,4,3,7,6,2,5] => 010110 => 011010 => 100101
[1,4,3,7,6,5,2] => 010111 => 111010 => 000101
[1,4,5,2,3,6,7] => 001000 => 000100 => 111011
[1,4,5,2,3,7,6] => 001001 => 100100 => 011011
[1,4,5,2,6,3,7] => 001010 => 010100 => 101011
[1,4,5,2,6,7,3] => 001001 => 100100 => 011011
[1,4,5,2,7,3,6] => 001010 => 010100 => 101011
[1,4,5,2,7,6,3] => 001011 => 110100 => 001011
[1,4,5,3,2,6,7] => 001100 => 001100 => 110011
[1,4,5,3,2,7,6] => 001101 => 101100 => 010011
[1,4,5,3,6,2,7] => 001010 => 010100 => 101011
[1,4,5,3,6,7,2] => 001001 => 100100 => 011011
[1,4,5,3,7,2,6] => 001010 => 010100 => 101011
[1,4,5,3,7,6,2] => 001011 => 110100 => 001011
[1,4,5,6,2,3,7] => 000100 => 001000 => 110111
[1,4,5,6,2,7,3] => 000101 => 101000 => 010111
[1,4,5,6,3,2,7] => 000110 => 011000 => 100111
[1,4,5,6,3,7,2] => 000101 => 101000 => 010111
[1,4,5,6,7,2,3] => 000010 => 010000 => 101111
[1,4,5,6,7,3,2] => 000011 => 110000 => 001111
[1,4,5,7,2,3,6] => 000100 => 001000 => 110111
[1,4,5,7,2,6,3] => 000101 => 101000 => 010111
[1,4,5,7,3,2,6] => 000110 => 011000 => 100111
[1,4,5,7,3,6,2] => 000101 => 101000 => 010111
[1,4,5,7,6,2,3] => 000110 => 011000 => 100111
[1,4,5,7,6,3,2] => 000111 => 111000 => 000111
[1,4,6,2,3,5,7] => 001000 => 000100 => 111011
[1,4,6,2,3,7,5] => 001001 => 100100 => 011011
[1,4,6,2,5,3,7] => 001010 => 010100 => 101011
[1,4,6,2,5,7,3] => 001001 => 100100 => 011011
[1,4,6,2,7,3,5] => 001010 => 010100 => 101011
[1,4,6,2,7,5,3] => 001011 => 110100 => 001011
[1,4,6,3,2,5,7] => 001100 => 001100 => 110011
[1,4,6,3,2,7,5] => 001101 => 101100 => 010011
[1,4,6,3,5,2,7] => 001010 => 010100 => 101011
[1,4,6,3,5,7,2] => 001001 => 100100 => 011011
[1,4,6,3,7,2,5] => 001010 => 010100 => 101011
[1,4,6,3,7,5,2] => 001011 => 110100 => 001011
[1,4,6,5,2,3,7] => 001100 => 001100 => 110011
[1,4,6,5,2,7,3] => 001101 => 101100 => 010011
[1,4,6,5,3,2,7] => 001110 => 011100 => 100011
[1,4,6,5,3,7,2] => 001101 => 101100 => 010011
[1,4,6,5,7,2,3] => 001010 => 010100 => 101011
[1,4,6,5,7,3,2] => 001011 => 110100 => 001011
[1,4,6,7,2,3,5] => 000100 => 001000 => 110111
[1,4,6,7,2,5,3] => 000101 => 101000 => 010111
[1,4,6,7,3,2,5] => 000110 => 011000 => 100111
[1,4,6,7,3,5,2] => 000101 => 101000 => 010111
[1,4,6,7,5,2,3] => 000110 => 011000 => 100111
[1,4,6,7,5,3,2] => 000111 => 111000 => 000111
[1,4,7,2,3,5,6] => 001000 => 000100 => 111011
[1,4,7,2,3,6,5] => 001001 => 100100 => 011011
[1,4,7,2,5,3,6] => 001010 => 010100 => 101011
[1,4,7,2,5,6,3] => 001001 => 100100 => 011011
[1,4,7,2,6,3,5] => 001010 => 010100 => 101011
[1,4,7,2,6,5,3] => 001011 => 110100 => 001011
[1,4,7,3,2,5,6] => 001100 => 001100 => 110011
[1,4,7,3,2,6,5] => 001101 => 101100 => 010011
[1,4,7,3,5,2,6] => 001010 => 010100 => 101011
[1,4,7,3,5,6,2] => 001001 => 100100 => 011011
[1,4,7,3,6,2,5] => 001010 => 010100 => 101011
[1,4,7,3,6,5,2] => 001011 => 110100 => 001011
[1,4,7,5,2,3,6] => 001100 => 001100 => 110011
[1,4,7,5,2,6,3] => 001101 => 101100 => 010011
[1,4,7,5,3,2,6] => 001110 => 011100 => 100011
[1,4,7,5,3,6,2] => 001101 => 101100 => 010011
[1,4,7,5,6,2,3] => 001010 => 010100 => 101011
[1,4,7,5,6,3,2] => 001011 => 110100 => 001011
[1,4,7,6,2,3,5] => 001100 => 001100 => 110011
[1,4,7,6,2,5,3] => 001101 => 101100 => 010011
[1,4,7,6,3,2,5] => 001110 => 011100 => 100011
[1,4,7,6,3,5,2] => 001101 => 101100 => 010011
[1,4,7,6,5,2,3] => 001110 => 011100 => 100011
[1,4,7,6,5,3,2] => 001111 => 111100 => 000011
[1,5,2,3,4,6,7] => 010000 => 000010 => 111101
[1,5,2,3,4,7,6] => 010001 => 100010 => 011101
[1,5,2,3,6,4,7] => 010010 => 010010 => 101101
[1,5,2,3,6,7,4] => 010001 => 100010 => 011101
[1,5,2,3,7,4,6] => 010010 => 010010 => 101101
[1,5,2,3,7,6,4] => 010011 => 110010 => 001101
[1,5,2,4,3,6,7] => 010100 => 001010 => 110101
[1,5,2,4,3,7,6] => 010101 => 101010 => 010101
[1,5,2,4,6,3,7] => 010010 => 010010 => 101101
[1,5,2,4,6,7,3] => 010001 => 100010 => 011101
[1,5,2,4,7,3,6] => 010010 => 010010 => 101101
[1,5,2,4,7,6,3] => 010011 => 110010 => 001101
[1,5,2,6,3,4,7] => 010100 => 001010 => 110101
[1,5,2,6,3,7,4] => 010101 => 101010 => 010101
[1,5,2,6,4,3,7] => 010110 => 011010 => 100101
[1,5,2,6,4,7,3] => 010101 => 101010 => 010101
[1,5,2,6,7,3,4] => 010010 => 010010 => 101101
[1,5,2,6,7,4,3] => 010011 => 110010 => 001101
[1,5,2,7,3,4,6] => 010100 => 001010 => 110101
[1,5,2,7,3,6,4] => 010101 => 101010 => 010101
[1,5,2,7,4,3,6] => 010110 => 011010 => 100101
[1,5,2,7,4,6,3] => 010101 => 101010 => 010101
[1,5,2,7,6,3,4] => 010110 => 011010 => 100101
[1,5,2,7,6,4,3] => 010111 => 111010 => 000101
[1,5,3,2,4,6,7] => 011000 => 000110 => 111001
[1,5,3,2,4,7,6] => 011001 => 100110 => 011001
[1,5,3,2,6,4,7] => 011010 => 010110 => 101001
[1,5,3,2,6,7,4] => 011001 => 100110 => 011001
[1,5,3,2,7,4,6] => 011010 => 010110 => 101001
[1,5,3,2,7,6,4] => 011011 => 110110 => 001001
[1,5,3,4,2,6,7] => 010100 => 001010 => 110101
[1,5,3,4,2,7,6] => 010101 => 101010 => 010101
[1,5,3,4,6,2,7] => 010010 => 010010 => 101101
[1,5,3,4,6,7,2] => 010001 => 100010 => 011101
[1,5,3,4,7,2,6] => 010010 => 010010 => 101101
[1,5,3,4,7,6,2] => 010011 => 110010 => 001101
[1,5,3,6,2,4,7] => 010100 => 001010 => 110101
[1,5,3,6,2,7,4] => 010101 => 101010 => 010101
[1,5,3,6,4,2,7] => 010110 => 011010 => 100101
[1,5,3,6,4,7,2] => 010101 => 101010 => 010101
[1,5,3,6,7,2,4] => 010010 => 010010 => 101101
[1,5,3,6,7,4,2] => 010011 => 110010 => 001101
[1,5,3,7,2,4,6] => 010100 => 001010 => 110101
[1,5,3,7,2,6,4] => 010101 => 101010 => 010101
[1,5,3,7,4,2,6] => 010110 => 011010 => 100101
[1,5,3,7,4,6,2] => 010101 => 101010 => 010101
[1,5,3,7,6,2,4] => 010110 => 011010 => 100101
[1,5,3,7,6,4,2] => 010111 => 111010 => 000101
[1,5,4,2,3,6,7] => 011000 => 000110 => 111001
[1,5,4,2,3,7,6] => 011001 => 100110 => 011001
[1,5,4,2,6,3,7] => 011010 => 010110 => 101001
[1,5,4,2,6,7,3] => 011001 => 100110 => 011001
[1,5,4,2,7,3,6] => 011010 => 010110 => 101001
[1,5,4,2,7,6,3] => 011011 => 110110 => 001001
[1,5,4,3,2,6,7] => 011100 => 001110 => 110001
[1,5,4,3,2,7,6] => 011101 => 101110 => 010001
[1,5,4,3,6,2,7] => 011010 => 010110 => 101001
[1,5,4,3,6,7,2] => 011001 => 100110 => 011001
[1,5,4,3,7,2,6] => 011010 => 010110 => 101001
[1,5,4,3,7,6,2] => 011011 => 110110 => 001001
[1,5,4,6,2,3,7] => 010100 => 001010 => 110101
[1,5,4,6,2,7,3] => 010101 => 101010 => 010101
[1,5,4,6,3,2,7] => 010110 => 011010 => 100101
[1,5,4,6,3,7,2] => 010101 => 101010 => 010101
[1,5,4,6,7,2,3] => 010010 => 010010 => 101101
[1,5,4,6,7,3,2] => 010011 => 110010 => 001101
[1,5,4,7,2,3,6] => 010100 => 001010 => 110101
[1,5,4,7,2,6,3] => 010101 => 101010 => 010101
[1,5,4,7,3,2,6] => 010110 => 011010 => 100101
[1,5,4,7,3,6,2] => 010101 => 101010 => 010101
[1,5,4,7,6,2,3] => 010110 => 011010 => 100101
[1,5,4,7,6,3,2] => 010111 => 111010 => 000101
[1,5,6,2,3,4,7] => 001000 => 000100 => 111011
[1,5,6,2,3,7,4] => 001001 => 100100 => 011011
[1,5,6,2,4,3,7] => 001010 => 010100 => 101011
[1,5,6,2,4,7,3] => 001001 => 100100 => 011011
[1,5,6,2,7,3,4] => 001010 => 010100 => 101011
[1,5,6,2,7,4,3] => 001011 => 110100 => 001011
[1,5,6,3,2,4,7] => 001100 => 001100 => 110011
[1,5,6,3,2,7,4] => 001101 => 101100 => 010011
[1,5,6,3,4,2,7] => 001010 => 010100 => 101011
[1,5,6,3,4,7,2] => 001001 => 100100 => 011011
[1,5,6,3,7,2,4] => 001010 => 010100 => 101011
[1,5,6,3,7,4,2] => 001011 => 110100 => 001011
[1,5,6,4,2,3,7] => 001100 => 001100 => 110011
[1,5,6,4,2,7,3] => 001101 => 101100 => 010011
[1,5,6,4,3,2,7] => 001110 => 011100 => 100011
[1,5,6,4,3,7,2] => 001101 => 101100 => 010011
[1,5,6,4,7,2,3] => 001010 => 010100 => 101011
[1,5,6,4,7,3,2] => 001011 => 110100 => 001011
[1,5,6,7,2,3,4] => 000100 => 001000 => 110111
[1,5,6,7,2,4,3] => 000101 => 101000 => 010111
[1,5,6,7,3,2,4] => 000110 => 011000 => 100111
[1,5,6,7,3,4,2] => 000101 => 101000 => 010111
[1,5,6,7,4,2,3] => 000110 => 011000 => 100111
[1,5,6,7,4,3,2] => 000111 => 111000 => 000111
[1,5,7,2,3,4,6] => 001000 => 000100 => 111011
[1,5,7,2,3,6,4] => 001001 => 100100 => 011011
[1,5,7,2,4,3,6] => 001010 => 010100 => 101011
[1,5,7,2,4,6,3] => 001001 => 100100 => 011011
[1,5,7,2,6,3,4] => 001010 => 010100 => 101011
[1,5,7,2,6,4,3] => 001011 => 110100 => 001011
[1,5,7,3,2,4,6] => 001100 => 001100 => 110011
[1,5,7,3,2,6,4] => 001101 => 101100 => 010011
[1,5,7,3,4,2,6] => 001010 => 010100 => 101011
[1,5,7,3,4,6,2] => 001001 => 100100 => 011011
[1,5,7,3,6,2,4] => 001010 => 010100 => 101011
[1,5,7,3,6,4,2] => 001011 => 110100 => 001011
[1,5,7,4,2,3,6] => 001100 => 001100 => 110011
[1,5,7,4,2,6,3] => 001101 => 101100 => 010011
[1,5,7,4,3,2,6] => 001110 => 011100 => 100011
[1,5,7,4,3,6,2] => 001101 => 101100 => 010011
[1,5,7,4,6,2,3] => 001010 => 010100 => 101011
[1,5,7,4,6,3,2] => 001011 => 110100 => 001011
[1,5,7,6,2,3,4] => 001100 => 001100 => 110011
[1,5,7,6,2,4,3] => 001101 => 101100 => 010011
[1,5,7,6,3,2,4] => 001110 => 011100 => 100011
[1,5,7,6,3,4,2] => 001101 => 101100 => 010011
[1,5,7,6,4,2,3] => 001110 => 011100 => 100011
[1,5,7,6,4,3,2] => 001111 => 111100 => 000011
[1,6,2,3,4,5,7] => 010000 => 000010 => 111101
[1,6,2,3,4,7,5] => 010001 => 100010 => 011101
[1,6,2,3,5,4,7] => 010010 => 010010 => 101101
[1,6,2,3,5,7,4] => 010001 => 100010 => 011101
[1,6,2,3,7,4,5] => 010010 => 010010 => 101101
[1,6,2,3,7,5,4] => 010011 => 110010 => 001101
[1,6,2,4,3,5,7] => 010100 => 001010 => 110101
[1,6,2,4,3,7,5] => 010101 => 101010 => 010101
[1,6,2,4,5,3,7] => 010010 => 010010 => 101101
[1,6,2,4,5,7,3] => 010001 => 100010 => 011101
[1,6,2,4,7,3,5] => 010010 => 010010 => 101101
[1,6,2,4,7,5,3] => 010011 => 110010 => 001101
[1,6,2,5,3,4,7] => 010100 => 001010 => 110101
[1,6,2,5,3,7,4] => 010101 => 101010 => 010101
[1,6,2,5,4,3,7] => 010110 => 011010 => 100101
[1,6,2,5,4,7,3] => 010101 => 101010 => 010101
[1,6,2,5,7,3,4] => 010010 => 010010 => 101101
[1,6,2,5,7,4,3] => 010011 => 110010 => 001101
[1,6,2,7,3,4,5] => 010100 => 001010 => 110101
[1,6,2,7,3,5,4] => 010101 => 101010 => 010101
[1,6,2,7,4,3,5] => 010110 => 011010 => 100101
[1,6,2,7,4,5,3] => 010101 => 101010 => 010101
[1,6,2,7,5,3,4] => 010110 => 011010 => 100101
[1,6,2,7,5,4,3] => 010111 => 111010 => 000101
[1,6,3,2,4,5,7] => 011000 => 000110 => 111001
[1,6,3,2,4,7,5] => 011001 => 100110 => 011001
[1,6,3,2,5,4,7] => 011010 => 010110 => 101001
[1,6,3,2,5,7,4] => 011001 => 100110 => 011001
[1,6,3,2,7,4,5] => 011010 => 010110 => 101001
[1,6,3,2,7,5,4] => 011011 => 110110 => 001001
[1,6,3,4,2,5,7] => 010100 => 001010 => 110101
[1,6,3,4,2,7,5] => 010101 => 101010 => 010101
[1,6,3,4,5,2,7] => 010010 => 010010 => 101101
[1,6,3,4,5,7,2] => 010001 => 100010 => 011101
[1,6,3,4,7,2,5] => 010010 => 010010 => 101101
[1,6,3,4,7,5,2] => 010011 => 110010 => 001101
[1,6,3,5,2,4,7] => 010100 => 001010 => 110101
[1,6,3,5,2,7,4] => 010101 => 101010 => 010101
[1,6,3,5,4,2,7] => 010110 => 011010 => 100101
[1,6,3,5,4,7,2] => 010101 => 101010 => 010101
[1,6,3,5,7,2,4] => 010010 => 010010 => 101101
[1,6,3,5,7,4,2] => 010011 => 110010 => 001101
[1,6,3,7,2,4,5] => 010100 => 001010 => 110101
[1,6,3,7,2,5,4] => 010101 => 101010 => 010101
[1,6,3,7,4,2,5] => 010110 => 011010 => 100101
[1,6,3,7,4,5,2] => 010101 => 101010 => 010101
[1,6,3,7,5,2,4] => 010110 => 011010 => 100101
[1,6,3,7,5,4,2] => 010111 => 111010 => 000101
[1,6,4,2,3,5,7] => 011000 => 000110 => 111001
[1,6,4,2,3,7,5] => 011001 => 100110 => 011001
[1,6,4,2,5,3,7] => 011010 => 010110 => 101001
[1,6,4,2,5,7,3] => 011001 => 100110 => 011001
[1,6,4,2,7,3,5] => 011010 => 010110 => 101001
[1,6,4,2,7,5,3] => 011011 => 110110 => 001001
[1,6,4,3,2,5,7] => 011100 => 001110 => 110001
[1,6,4,3,2,7,5] => 011101 => 101110 => 010001
[1,6,4,3,5,2,7] => 011010 => 010110 => 101001
[1,6,4,3,5,7,2] => 011001 => 100110 => 011001
[1,6,4,3,7,2,5] => 011010 => 010110 => 101001
[1,6,4,3,7,5,2] => 011011 => 110110 => 001001
[1,6,4,5,2,3,7] => 010100 => 001010 => 110101
[1,6,4,5,2,7,3] => 010101 => 101010 => 010101
[1,6,4,5,3,2,7] => 010110 => 011010 => 100101
[1,6,4,5,3,7,2] => 010101 => 101010 => 010101
[1,6,4,5,7,2,3] => 010010 => 010010 => 101101
[1,6,4,5,7,3,2] => 010011 => 110010 => 001101
[1,6,4,7,2,3,5] => 010100 => 001010 => 110101
[1,6,4,7,2,5,3] => 010101 => 101010 => 010101
[1,6,4,7,3,2,5] => 010110 => 011010 => 100101
[1,6,4,7,3,5,2] => 010101 => 101010 => 010101
[1,6,4,7,5,2,3] => 010110 => 011010 => 100101
[1,6,4,7,5,3,2] => 010111 => 111010 => 000101
[1,6,5,2,3,4,7] => 011000 => 000110 => 111001
[1,6,5,2,3,7,4] => 011001 => 100110 => 011001
[1,6,5,2,4,3,7] => 011010 => 010110 => 101001
[1,6,5,2,4,7,3] => 011001 => 100110 => 011001
[1,6,5,2,7,3,4] => 011010 => 010110 => 101001
[1,6,5,2,7,4,3] => 011011 => 110110 => 001001
[1,6,5,3,2,4,7] => 011100 => 001110 => 110001
[1,6,5,3,2,7,4] => 011101 => 101110 => 010001
[1,6,5,3,4,2,7] => 011010 => 010110 => 101001
[1,6,5,3,4,7,2] => 011001 => 100110 => 011001
[1,6,5,3,7,2,4] => 011010 => 010110 => 101001
[1,6,5,3,7,4,2] => 011011 => 110110 => 001001
[1,6,5,4,2,3,7] => 011100 => 001110 => 110001
[1,6,5,4,2,7,3] => 011101 => 101110 => 010001
[1,6,5,4,3,2,7] => 011110 => 011110 => 100001
[1,6,5,4,3,7,2] => 011101 => 101110 => 010001
[1,6,5,4,7,2,3] => 011010 => 010110 => 101001
[1,6,5,4,7,3,2] => 011011 => 110110 => 001001
[1,6,5,7,2,3,4] => 010100 => 001010 => 110101
[1,6,5,7,2,4,3] => 010101 => 101010 => 010101
[1,6,5,7,3,2,4] => 010110 => 011010 => 100101
[1,6,5,7,3,4,2] => 010101 => 101010 => 010101
[1,6,5,7,4,2,3] => 010110 => 011010 => 100101
[1,6,5,7,4,3,2] => 010111 => 111010 => 000101
[1,6,7,2,3,4,5] => 001000 => 000100 => 111011
[1,6,7,2,3,5,4] => 001001 => 100100 => 011011
[1,6,7,2,4,3,5] => 001010 => 010100 => 101011
[1,6,7,2,4,5,3] => 001001 => 100100 => 011011
[1,6,7,2,5,3,4] => 001010 => 010100 => 101011
[1,6,7,2,5,4,3] => 001011 => 110100 => 001011
[1,6,7,3,2,4,5] => 001100 => 001100 => 110011
[1,6,7,3,2,5,4] => 001101 => 101100 => 010011
[1,6,7,3,4,2,5] => 001010 => 010100 => 101011
[1,6,7,3,4,5,2] => 001001 => 100100 => 011011
[1,6,7,3,5,2,4] => 001010 => 010100 => 101011
[1,6,7,3,5,4,2] => 001011 => 110100 => 001011
[1,6,7,4,2,3,5] => 001100 => 001100 => 110011
[1,6,7,4,2,5,3] => 001101 => 101100 => 010011
[1,6,7,4,3,2,5] => 001110 => 011100 => 100011
[1,6,7,4,3,5,2] => 001101 => 101100 => 010011
[1,6,7,4,5,2,3] => 001010 => 010100 => 101011
[1,6,7,4,5,3,2] => 001011 => 110100 => 001011
[1,6,7,5,2,3,4] => 001100 => 001100 => 110011
[1,6,7,5,2,4,3] => 001101 => 101100 => 010011
[1,6,7,5,3,2,4] => 001110 => 011100 => 100011
[1,6,7,5,3,4,2] => 001101 => 101100 => 010011
[1,6,7,5,4,2,3] => 001110 => 011100 => 100011
[1,6,7,5,4,3,2] => 001111 => 111100 => 000011
[1,7,2,3,4,5,6] => 010000 => 000010 => 111101
[1,7,2,3,4,6,5] => 010001 => 100010 => 011101
[1,7,2,3,5,4,6] => 010010 => 010010 => 101101
[1,7,2,3,5,6,4] => 010001 => 100010 => 011101
[1,7,2,3,6,4,5] => 010010 => 010010 => 101101
[1,7,2,3,6,5,4] => 010011 => 110010 => 001101
[1,7,2,4,3,5,6] => 010100 => 001010 => 110101
[1,7,2,4,3,6,5] => 010101 => 101010 => 010101
[1,7,2,4,5,3,6] => 010010 => 010010 => 101101
[1,7,2,4,5,6,3] => 010001 => 100010 => 011101
[1,7,2,4,6,3,5] => 010010 => 010010 => 101101
[1,7,2,4,6,5,3] => 010011 => 110010 => 001101
[1,7,2,5,3,4,6] => 010100 => 001010 => 110101
[1,7,2,5,3,6,4] => 010101 => 101010 => 010101
[1,7,2,5,4,3,6] => 010110 => 011010 => 100101
[1,7,2,5,4,6,3] => 010101 => 101010 => 010101
[1,7,2,5,6,3,4] => 010010 => 010010 => 101101
[1,7,2,5,6,4,3] => 010011 => 110010 => 001101
[1,7,2,6,3,4,5] => 010100 => 001010 => 110101
[1,7,2,6,3,5,4] => 010101 => 101010 => 010101
[1,7,2,6,4,3,5] => 010110 => 011010 => 100101
[1,7,2,6,4,5,3] => 010101 => 101010 => 010101
[1,7,2,6,5,3,4] => 010110 => 011010 => 100101
[1,7,2,6,5,4,3] => 010111 => 111010 => 000101
[1,7,3,2,4,5,6] => 011000 => 000110 => 111001
[1,7,3,2,4,6,5] => 011001 => 100110 => 011001
[1,7,3,2,5,4,6] => 011010 => 010110 => 101001
[1,7,3,2,5,6,4] => 011001 => 100110 => 011001
[1,7,3,2,6,4,5] => 011010 => 010110 => 101001
[1,7,3,2,6,5,4] => 011011 => 110110 => 001001
[1,7,3,4,2,5,6] => 010100 => 001010 => 110101
[1,7,3,4,2,6,5] => 010101 => 101010 => 010101
[1,7,3,4,5,2,6] => 010010 => 010010 => 101101
[1,7,3,4,5,6,2] => 010001 => 100010 => 011101
[1,7,3,4,6,2,5] => 010010 => 010010 => 101101
[1,7,3,4,6,5,2] => 010011 => 110010 => 001101
[1,7,3,5,2,4,6] => 010100 => 001010 => 110101
[1,7,3,5,2,6,4] => 010101 => 101010 => 010101
[1,7,3,5,4,2,6] => 010110 => 011010 => 100101
[1,7,3,5,4,6,2] => 010101 => 101010 => 010101
[1,7,3,5,6,2,4] => 010010 => 010010 => 101101
[1,7,3,5,6,4,2] => 010011 => 110010 => 001101
[1,7,3,6,2,4,5] => 010100 => 001010 => 110101
[1,7,3,6,2,5,4] => 010101 => 101010 => 010101
[1,7,3,6,4,2,5] => 010110 => 011010 => 100101
[1,7,3,6,4,5,2] => 010101 => 101010 => 010101
[1,7,3,6,5,2,4] => 010110 => 011010 => 100101
[1,7,3,6,5,4,2] => 010111 => 111010 => 000101
[1,7,4,2,3,5,6] => 011000 => 000110 => 111001
[1,7,4,2,3,6,5] => 011001 => 100110 => 011001
[1,7,4,2,5,3,6] => 011010 => 010110 => 101001
[1,7,4,2,5,6,3] => 011001 => 100110 => 011001
[1,7,4,2,6,3,5] => 011010 => 010110 => 101001
[1,7,4,2,6,5,3] => 011011 => 110110 => 001001
[1,7,4,3,2,5,6] => 011100 => 001110 => 110001
[1,7,4,3,2,6,5] => 011101 => 101110 => 010001
[1,7,4,3,5,2,6] => 011010 => 010110 => 101001
[1,7,4,3,5,6,2] => 011001 => 100110 => 011001
[1,7,4,3,6,2,5] => 011010 => 010110 => 101001
[1,7,4,3,6,5,2] => 011011 => 110110 => 001001
[1,7,4,5,2,3,6] => 010100 => 001010 => 110101
[1,7,4,5,2,6,3] => 010101 => 101010 => 010101
[1,7,4,5,3,2,6] => 010110 => 011010 => 100101
[1,7,4,5,3,6,2] => 010101 => 101010 => 010101
[1,7,4,5,6,2,3] => 010010 => 010010 => 101101
[1,7,4,5,6,3,2] => 010011 => 110010 => 001101
[1,7,4,6,2,3,5] => 010100 => 001010 => 110101
[1,7,4,6,2,5,3] => 010101 => 101010 => 010101
[1,7,4,6,3,2,5] => 010110 => 011010 => 100101
[1,7,4,6,3,5,2] => 010101 => 101010 => 010101
[1,7,4,6,5,2,3] => 010110 => 011010 => 100101
[1,7,4,6,5,3,2] => 010111 => 111010 => 000101
[1,7,5,2,3,4,6] => 011000 => 000110 => 111001
[1,7,5,2,3,6,4] => 011001 => 100110 => 011001
[1,7,5,2,4,3,6] => 011010 => 010110 => 101001
[1,7,5,2,4,6,3] => 011001 => 100110 => 011001
[1,7,5,2,6,3,4] => 011010 => 010110 => 101001
[1,7,5,2,6,4,3] => 011011 => 110110 => 001001
[1,7,5,3,2,4,6] => 011100 => 001110 => 110001
[1,7,5,3,2,6,4] => 011101 => 101110 => 010001
[1,7,5,3,4,2,6] => 011010 => 010110 => 101001
[1,7,5,3,4,6,2] => 011001 => 100110 => 011001
[1,7,5,3,6,2,4] => 011010 => 010110 => 101001
[1,7,5,3,6,4,2] => 011011 => 110110 => 001001
[1,7,5,4,2,3,6] => 011100 => 001110 => 110001
[1,7,5,4,2,6,3] => 011101 => 101110 => 010001
[1,7,5,4,3,2,6] => 011110 => 011110 => 100001
[1,7,5,4,3,6,2] => 011101 => 101110 => 010001
[1,7,5,4,6,2,3] => 011010 => 010110 => 101001
[1,7,5,4,6,3,2] => 011011 => 110110 => 001001
[1,7,5,6,2,3,4] => 010100 => 001010 => 110101
[1,7,5,6,2,4,3] => 010101 => 101010 => 010101
[1,7,5,6,3,2,4] => 010110 => 011010 => 100101
[1,7,5,6,3,4,2] => 010101 => 101010 => 010101
[1,7,5,6,4,2,3] => 010110 => 011010 => 100101
[1,7,5,6,4,3,2] => 010111 => 111010 => 000101
[1,7,6,2,3,4,5] => 011000 => 000110 => 111001
[1,7,6,2,3,5,4] => 011001 => 100110 => 011001
[1,7,6,2,4,3,5] => 011010 => 010110 => 101001
[1,7,6,2,4,5,3] => 011001 => 100110 => 011001
[1,7,6,2,5,3,4] => 011010 => 010110 => 101001
[1,7,6,2,5,4,3] => 011011 => 110110 => 001001
[1,7,6,3,2,4,5] => 011100 => 001110 => 110001
[1,7,6,3,2,5,4] => 011101 => 101110 => 010001
[1,7,6,3,4,2,5] => 011010 => 010110 => 101001
[1,7,6,3,4,5,2] => 011001 => 100110 => 011001
[1,7,6,3,5,2,4] => 011010 => 010110 => 101001
[1,7,6,3,5,4,2] => 011011 => 110110 => 001001
[1,7,6,4,2,3,5] => 011100 => 001110 => 110001
[1,7,6,4,2,5,3] => 011101 => 101110 => 010001
[1,7,6,4,3,2,5] => 011110 => 011110 => 100001
[1,7,6,4,3,5,2] => 011101 => 101110 => 010001
[1,7,6,4,5,2,3] => 011010 => 010110 => 101001
[1,7,6,4,5,3,2] => 011011 => 110110 => 001001
[1,7,6,5,2,3,4] => 011100 => 001110 => 110001
[1,7,6,5,2,4,3] => 011101 => 101110 => 010001
[1,7,6,5,3,2,4] => 011110 => 011110 => 100001
[1,7,6,5,3,4,2] => 011101 => 101110 => 010001
[1,7,6,5,4,2,3] => 011110 => 011110 => 100001
[1,7,6,5,4,3,2] => 011111 => 111110 => 000001
[2,1,3,4,5,6,7] => 100000 => 000001 => 111110
[2,1,3,4,5,7,6] => 100001 => 100001 => 011110
[2,1,3,4,6,5,7] => 100010 => 010001 => 101110
[2,1,3,4,6,7,5] => 100001 => 100001 => 011110
[2,1,3,4,7,5,6] => 100010 => 010001 => 101110
[2,1,3,4,7,6,5] => 100011 => 110001 => 001110
[2,1,3,5,4,6,7] => 100100 => 001001 => 110110
[2,1,3,5,4,7,6] => 100101 => 101001 => 010110
[2,1,3,5,6,4,7] => 100010 => 010001 => 101110
[2,1,3,5,6,7,4] => 100001 => 100001 => 011110
[2,1,3,5,7,4,6] => 100010 => 010001 => 101110
[2,1,3,5,7,6,4] => 100011 => 110001 => 001110
[2,1,3,6,4,5,7] => 100100 => 001001 => 110110
[2,1,3,6,4,7,5] => 100101 => 101001 => 010110
[2,1,3,6,5,4,7] => 100110 => 011001 => 100110
[2,1,3,6,5,7,4] => 100101 => 101001 => 010110
[2,1,3,6,7,4,5] => 100010 => 010001 => 101110
[2,1,3,6,7,5,4] => 100011 => 110001 => 001110
[2,1,3,7,4,5,6] => 100100 => 001001 => 110110
[2,1,3,7,4,6,5] => 100101 => 101001 => 010110
[2,1,3,7,5,4,6] => 100110 => 011001 => 100110
[2,1,3,7,5,6,4] => 100101 => 101001 => 010110
[2,1,3,7,6,4,5] => 100110 => 011001 => 100110
[2,1,3,7,6,5,4] => 100111 => 111001 => 000110
[2,1,4,3,5,6,7] => 101000 => 000101 => 111010
[2,1,4,3,5,7,6] => 101001 => 100101 => 011010
[2,1,4,3,6,5,7] => 101010 => 010101 => 101010
[2,1,4,3,6,7,5] => 101001 => 100101 => 011010
[2,1,4,3,7,5,6] => 101010 => 010101 => 101010
[2,1,4,3,7,6,5] => 101011 => 110101 => 001010
[2,1,4,5,3,6,7] => 100100 => 001001 => 110110
[2,1,4,5,3,7,6] => 100101 => 101001 => 010110
[2,1,4,5,6,3,7] => 100010 => 010001 => 101110
[2,1,4,5,6,7,3] => 100001 => 100001 => 011110
[2,1,4,5,7,3,6] => 100010 => 010001 => 101110
[2,1,4,5,7,6,3] => 100011 => 110001 => 001110
[2,1,4,6,3,5,7] => 100100 => 001001 => 110110
[2,1,4,6,3,7,5] => 100101 => 101001 => 010110
[2,1,4,6,5,3,7] => 100110 => 011001 => 100110
[2,1,4,6,5,7,3] => 100101 => 101001 => 010110
[2,1,4,6,7,3,5] => 100010 => 010001 => 101110
[2,1,4,6,7,5,3] => 100011 => 110001 => 001110
[2,1,4,7,3,5,6] => 100100 => 001001 => 110110
[2,1,4,7,3,6,5] => 100101 => 101001 => 010110
[2,1,4,7,5,3,6] => 100110 => 011001 => 100110
[2,1,4,7,5,6,3] => 100101 => 101001 => 010110
[2,1,4,7,6,3,5] => 100110 => 011001 => 100110
[2,1,4,7,6,5,3] => 100111 => 111001 => 000110
[2,1,5,3,4,6,7] => 101000 => 000101 => 111010
[2,1,5,3,4,7,6] => 101001 => 100101 => 011010
[2,1,5,3,6,4,7] => 101010 => 010101 => 101010
[2,1,5,3,6,7,4] => 101001 => 100101 => 011010
[2,1,5,3,7,4,6] => 101010 => 010101 => 101010
[2,1,5,3,7,6,4] => 101011 => 110101 => 001010
[2,1,5,4,3,6,7] => 101100 => 001101 => 110010
[2,1,5,4,3,7,6] => 101101 => 101101 => 010010
[2,1,5,4,6,3,7] => 101010 => 010101 => 101010
[2,1,5,4,6,7,3] => 101001 => 100101 => 011010
[2,1,5,4,7,3,6] => 101010 => 010101 => 101010
[2,1,5,4,7,6,3] => 101011 => 110101 => 001010
[2,1,5,6,3,4,7] => 100100 => 001001 => 110110
[2,1,5,6,3,7,4] => 100101 => 101001 => 010110
[2,1,5,6,4,3,7] => 100110 => 011001 => 100110
[2,1,5,6,4,7,3] => 100101 => 101001 => 010110
[2,1,5,6,7,3,4] => 100010 => 010001 => 101110
[2,1,5,6,7,4,3] => 100011 => 110001 => 001110
[2,1,5,7,3,4,6] => 100100 => 001001 => 110110
[2,1,5,7,3,6,4] => 100101 => 101001 => 010110
[2,1,5,7,4,3,6] => 100110 => 011001 => 100110
[2,1,5,7,4,6,3] => 100101 => 101001 => 010110
[2,1,5,7,6,3,4] => 100110 => 011001 => 100110
[2,1,5,7,6,4,3] => 100111 => 111001 => 000110
[2,1,6,3,4,5,7] => 101000 => 000101 => 111010
[2,1,6,3,4,7,5] => 101001 => 100101 => 011010
[2,1,6,3,5,4,7] => 101010 => 010101 => 101010
[2,1,6,3,5,7,4] => 101001 => 100101 => 011010
[2,1,6,3,7,4,5] => 101010 => 010101 => 101010
[2,1,6,3,7,5,4] => 101011 => 110101 => 001010
[2,1,6,4,3,5,7] => 101100 => 001101 => 110010
[2,1,6,4,3,7,5] => 101101 => 101101 => 010010
[2,1,6,4,5,3,7] => 101010 => 010101 => 101010
[2,1,6,4,5,7,3] => 101001 => 100101 => 011010
[2,1,6,4,7,3,5] => 101010 => 010101 => 101010
[2,1,6,4,7,5,3] => 101011 => 110101 => 001010
[2,1,6,5,3,4,7] => 101100 => 001101 => 110010
[2,1,6,5,3,7,4] => 101101 => 101101 => 010010
[2,1,6,5,4,3,7] => 101110 => 011101 => 100010
[2,1,6,5,4,7,3] => 101101 => 101101 => 010010
[2,1,6,5,7,3,4] => 101010 => 010101 => 101010
[2,1,6,5,7,4,3] => 101011 => 110101 => 001010
[2,1,6,7,3,4,5] => 100100 => 001001 => 110110
[2,1,6,7,3,5,4] => 100101 => 101001 => 010110
[2,1,6,7,4,3,5] => 100110 => 011001 => 100110
[2,1,6,7,4,5,3] => 100101 => 101001 => 010110
[2,1,6,7,5,3,4] => 100110 => 011001 => 100110
[2,1,6,7,5,4,3] => 100111 => 111001 => 000110
[2,1,7,3,4,5,6] => 101000 => 000101 => 111010
[2,1,7,3,4,6,5] => 101001 => 100101 => 011010
[2,1,7,3,5,4,6] => 101010 => 010101 => 101010
[2,1,7,3,5,6,4] => 101001 => 100101 => 011010
[2,1,7,3,6,4,5] => 101010 => 010101 => 101010
[2,1,7,3,6,5,4] => 101011 => 110101 => 001010
[2,1,7,4,3,5,6] => 101100 => 001101 => 110010
[2,1,7,4,3,6,5] => 101101 => 101101 => 010010
[2,1,7,4,5,3,6] => 101010 => 010101 => 101010
[2,1,7,4,5,6,3] => 101001 => 100101 => 011010
[2,1,7,4,6,3,5] => 101010 => 010101 => 101010
[2,1,7,4,6,5,3] => 101011 => 110101 => 001010
[2,1,7,5,3,4,6] => 101100 => 001101 => 110010
[2,1,7,5,3,6,4] => 101101 => 101101 => 010010
[2,1,7,5,4,3,6] => 101110 => 011101 => 100010
[2,1,7,5,4,6,3] => 101101 => 101101 => 010010
[2,1,7,5,6,3,4] => 101010 => 010101 => 101010
[2,1,7,5,6,4,3] => 101011 => 110101 => 001010
[2,1,7,6,3,4,5] => 101100 => 001101 => 110010
[2,1,7,6,3,5,4] => 101101 => 101101 => 010010
[2,1,7,6,4,3,5] => 101110 => 011101 => 100010
[2,1,7,6,4,5,3] => 101101 => 101101 => 010010
[2,1,7,6,5,3,4] => 101110 => 011101 => 100010
[2,1,7,6,5,4,3] => 101111 => 111101 => 000010
[2,3,1,4,5,6,7] => 010000 => 000010 => 111101
[2,3,1,4,5,7,6] => 010001 => 100010 => 011101
[2,3,1,4,6,5,7] => 010010 => 010010 => 101101
[2,3,1,4,6,7,5] => 010001 => 100010 => 011101
[2,3,1,4,7,5,6] => 010010 => 010010 => 101101
[2,3,1,4,7,6,5] => 010011 => 110010 => 001101
[2,3,1,5,4,6,7] => 010100 => 001010 => 110101
[2,3,1,5,4,7,6] => 010101 => 101010 => 010101
[2,3,1,5,6,4,7] => 010010 => 010010 => 101101
[2,3,1,5,6,7,4] => 010001 => 100010 => 011101
[2,3,1,5,7,4,6] => 010010 => 010010 => 101101
[2,3,1,5,7,6,4] => 010011 => 110010 => 001101
[2,3,1,6,4,5,7] => 010100 => 001010 => 110101
[2,3,1,6,4,7,5] => 010101 => 101010 => 010101
[2,3,1,6,5,4,7] => 010110 => 011010 => 100101
[2,3,1,6,5,7,4] => 010101 => 101010 => 010101
[2,3,1,6,7,4,5] => 010010 => 010010 => 101101
[2,3,1,6,7,5,4] => 010011 => 110010 => 001101
[2,3,1,7,4,5,6] => 010100 => 001010 => 110101
[2,3,1,7,4,6,5] => 010101 => 101010 => 010101
[2,3,1,7,5,4,6] => 010110 => 011010 => 100101
[2,3,1,7,5,6,4] => 010101 => 101010 => 010101
[2,3,1,7,6,4,5] => 010110 => 011010 => 100101
[2,3,1,7,6,5,4] => 010111 => 111010 => 000101
[2,3,4,1,5,6,7] => 001000 => 000100 => 111011
[2,3,4,1,5,7,6] => 001001 => 100100 => 011011
[2,3,4,1,6,5,7] => 001010 => 010100 => 101011
[2,3,4,1,6,7,5] => 001001 => 100100 => 011011
[2,3,4,1,7,5,6] => 001010 => 010100 => 101011
[2,3,4,1,7,6,5] => 001011 => 110100 => 001011
[2,3,4,5,1,6,7] => 000100 => 001000 => 110111
[2,3,4,5,1,7,6] => 000101 => 101000 => 010111
[2,3,4,5,6,1,7] => 000010 => 010000 => 101111
[2,3,4,5,6,7,1] => 000001 => 100000 => 011111
[2,3,4,5,7,1,6] => 000010 => 010000 => 101111
[2,3,4,5,7,6,1] => 000011 => 110000 => 001111
[2,3,4,6,1,5,7] => 000100 => 001000 => 110111
[2,3,4,6,1,7,5] => 000101 => 101000 => 010111
[2,3,4,6,5,1,7] => 000110 => 011000 => 100111
[2,3,4,6,5,7,1] => 000101 => 101000 => 010111
[2,3,4,6,7,1,5] => 000010 => 010000 => 101111
[2,3,4,6,7,5,1] => 000011 => 110000 => 001111
[2,3,4,7,1,5,6] => 000100 => 001000 => 110111
[2,3,4,7,1,6,5] => 000101 => 101000 => 010111
[2,3,4,7,5,1,6] => 000110 => 011000 => 100111
[2,3,4,7,5,6,1] => 000101 => 101000 => 010111
[2,3,4,7,6,1,5] => 000110 => 011000 => 100111
[2,3,4,7,6,5,1] => 000111 => 111000 => 000111
[2,3,5,1,4,6,7] => 001000 => 000100 => 111011
[2,3,5,1,4,7,6] => 001001 => 100100 => 011011
[2,3,5,1,6,4,7] => 001010 => 010100 => 101011
[2,3,5,1,6,7,4] => 001001 => 100100 => 011011
[2,3,5,1,7,4,6] => 001010 => 010100 => 101011
[2,3,5,1,7,6,4] => 001011 => 110100 => 001011
[2,3,5,4,1,6,7] => 001100 => 001100 => 110011
[2,3,5,4,1,7,6] => 001101 => 101100 => 010011
[2,3,5,4,6,1,7] => 001010 => 010100 => 101011
[2,3,5,4,6,7,1] => 001001 => 100100 => 011011
[2,3,5,4,7,1,6] => 001010 => 010100 => 101011
[2,3,5,4,7,6,1] => 001011 => 110100 => 001011
[2,3,5,6,1,4,7] => 000100 => 001000 => 110111
[2,3,5,6,1,7,4] => 000101 => 101000 => 010111
[2,3,5,6,4,1,7] => 000110 => 011000 => 100111
[2,3,5,6,4,7,1] => 000101 => 101000 => 010111
[2,3,5,6,7,1,4] => 000010 => 010000 => 101111
[2,3,5,6,7,4,1] => 000011 => 110000 => 001111
[2,3,5,7,1,4,6] => 000100 => 001000 => 110111
[2,3,5,7,1,6,4] => 000101 => 101000 => 010111
[2,3,5,7,4,1,6] => 000110 => 011000 => 100111
[2,3,5,7,4,6,1] => 000101 => 101000 => 010111
[2,3,5,7,6,1,4] => 000110 => 011000 => 100111
[2,3,5,7,6,4,1] => 000111 => 111000 => 000111
[2,3,6,1,4,5,7] => 001000 => 000100 => 111011
[2,3,6,1,4,7,5] => 001001 => 100100 => 011011
[2,3,6,1,5,4,7] => 001010 => 010100 => 101011
[2,3,6,1,5,7,4] => 001001 => 100100 => 011011
[2,3,6,1,7,4,5] => 001010 => 010100 => 101011
[2,3,6,1,7,5,4] => 001011 => 110100 => 001011
[2,3,6,4,1,5,7] => 001100 => 001100 => 110011
[2,3,6,4,1,7,5] => 001101 => 101100 => 010011
[2,3,6,4,5,1,7] => 001010 => 010100 => 101011
[2,3,6,4,5,7,1] => 001001 => 100100 => 011011
[2,3,6,4,7,1,5] => 001010 => 010100 => 101011
[2,3,6,4,7,5,1] => 001011 => 110100 => 001011
[2,3,6,5,1,4,7] => 001100 => 001100 => 110011
[2,3,6,5,1,7,4] => 001101 => 101100 => 010011
[2,3,6,5,4,1,7] => 001110 => 011100 => 100011
[2,3,6,5,4,7,1] => 001101 => 101100 => 010011
[2,3,6,5,7,1,4] => 001010 => 010100 => 101011
[2,3,6,5,7,4,1] => 001011 => 110100 => 001011
[2,3,6,7,1,4,5] => 000100 => 001000 => 110111
[2,3,6,7,1,5,4] => 000101 => 101000 => 010111
[2,3,6,7,4,1,5] => 000110 => 011000 => 100111
[2,3,6,7,4,5,1] => 000101 => 101000 => 010111
[2,3,6,7,5,1,4] => 000110 => 011000 => 100111
[2,3,6,7,5,4,1] => 000111 => 111000 => 000111
[2,3,7,1,4,5,6] => 001000 => 000100 => 111011
[2,3,7,1,4,6,5] => 001001 => 100100 => 011011
[2,3,7,1,5,4,6] => 001010 => 010100 => 101011
[2,3,7,1,5,6,4] => 001001 => 100100 => 011011
[2,3,7,1,6,4,5] => 001010 => 010100 => 101011
[2,3,7,1,6,5,4] => 001011 => 110100 => 001011
[2,3,7,4,1,5,6] => 001100 => 001100 => 110011
[2,3,7,4,1,6,5] => 001101 => 101100 => 010011
[2,3,7,4,5,1,6] => 001010 => 010100 => 101011
[2,3,7,4,5,6,1] => 001001 => 100100 => 011011
[2,3,7,4,6,1,5] => 001010 => 010100 => 101011
[2,3,7,4,6,5,1] => 001011 => 110100 => 001011
[2,3,7,5,1,4,6] => 001100 => 001100 => 110011
[2,3,7,5,1,6,4] => 001101 => 101100 => 010011
[2,3,7,5,4,1,6] => 001110 => 011100 => 100011
[2,3,7,5,4,6,1] => 001101 => 101100 => 010011
[2,3,7,5,6,1,4] => 001010 => 010100 => 101011
[2,3,7,5,6,4,1] => 001011 => 110100 => 001011
[2,3,7,6,1,4,5] => 001100 => 001100 => 110011
[2,3,7,6,1,5,4] => 001101 => 101100 => 010011
[2,3,7,6,4,1,5] => 001110 => 011100 => 100011
[2,3,7,6,4,5,1] => 001101 => 101100 => 010011
[2,3,7,6,5,1,4] => 001110 => 011100 => 100011
[2,3,7,6,5,4,1] => 001111 => 111100 => 000011
[2,4,1,3,5,6,7] => 010000 => 000010 => 111101
[2,4,1,3,5,7,6] => 010001 => 100010 => 011101
[2,4,1,3,6,5,7] => 010010 => 010010 => 101101
[2,4,1,3,6,7,5] => 010001 => 100010 => 011101
[2,4,1,3,7,5,6] => 010010 => 010010 => 101101
[2,4,1,3,7,6,5] => 010011 => 110010 => 001101
[2,4,1,5,3,6,7] => 010100 => 001010 => 110101
[2,4,1,5,3,7,6] => 010101 => 101010 => 010101
[2,4,1,5,6,3,7] => 010010 => 010010 => 101101
[2,4,1,5,6,7,3] => 010001 => 100010 => 011101
[2,4,1,5,7,3,6] => 010010 => 010010 => 101101
[2,4,1,5,7,6,3] => 010011 => 110010 => 001101
[2,4,1,6,3,5,7] => 010100 => 001010 => 110101
[2,4,1,6,3,7,5] => 010101 => 101010 => 010101
[2,4,1,6,5,3,7] => 010110 => 011010 => 100101
[2,4,1,6,5,7,3] => 010101 => 101010 => 010101
[2,4,1,6,7,3,5] => 010010 => 010010 => 101101
[2,4,1,6,7,5,3] => 010011 => 110010 => 001101
[2,4,1,7,3,5,6] => 010100 => 001010 => 110101
[2,4,1,7,3,6,5] => 010101 => 101010 => 010101
[2,4,1,7,5,3,6] => 010110 => 011010 => 100101
[2,4,1,7,5,6,3] => 010101 => 101010 => 010101
[2,4,1,7,6,3,5] => 010110 => 011010 => 100101
[2,4,1,7,6,5,3] => 010111 => 111010 => 000101
[2,4,3,1,5,6,7] => 011000 => 000110 => 111001
[2,4,3,1,5,7,6] => 011001 => 100110 => 011001
[2,4,3,1,6,5,7] => 011010 => 010110 => 101001
[2,4,3,1,6,7,5] => 011001 => 100110 => 011001
[2,4,3,1,7,5,6] => 011010 => 010110 => 101001
[2,4,3,1,7,6,5] => 011011 => 110110 => 001001
[2,4,3,5,1,6,7] => 010100 => 001010 => 110101
[2,4,3,5,1,7,6] => 010101 => 101010 => 010101
[2,4,3,5,6,1,7] => 010010 => 010010 => 101101
[2,4,3,5,6,7,1] => 010001 => 100010 => 011101
[2,4,3,5,7,1,6] => 010010 => 010010 => 101101
[2,4,3,5,7,6,1] => 010011 => 110010 => 001101
[2,4,3,6,1,5,7] => 010100 => 001010 => 110101
[2,4,3,6,1,7,5] => 010101 => 101010 => 010101
[2,4,3,6,5,1,7] => 010110 => 011010 => 100101
[2,4,3,6,5,7,1] => 010101 => 101010 => 010101
[2,4,3,6,7,1,5] => 010010 => 010010 => 101101
[2,4,3,6,7,5,1] => 010011 => 110010 => 001101
[2,4,3,7,1,5,6] => 010100 => 001010 => 110101
[2,4,3,7,1,6,5] => 010101 => 101010 => 010101
[2,4,3,7,5,1,6] => 010110 => 011010 => 100101
[2,4,3,7,5,6,1] => 010101 => 101010 => 010101
[2,4,3,7,6,1,5] => 010110 => 011010 => 100101
[2,4,3,7,6,5,1] => 010111 => 111010 => 000101
[2,4,5,1,3,6,7] => 001000 => 000100 => 111011
[2,4,5,1,3,7,6] => 001001 => 100100 => 011011
[2,4,5,1,6,3,7] => 001010 => 010100 => 101011
[2,4,5,1,6,7,3] => 001001 => 100100 => 011011
[2,4,5,1,7,3,6] => 001010 => 010100 => 101011
[2,4,5,1,7,6,3] => 001011 => 110100 => 001011
[2,4,5,3,1,6,7] => 001100 => 001100 => 110011
[2,4,5,3,1,7,6] => 001101 => 101100 => 010011
[2,4,5,3,6,1,7] => 001010 => 010100 => 101011
[2,4,5,3,6,7,1] => 001001 => 100100 => 011011
[2,4,5,3,7,1,6] => 001010 => 010100 => 101011
[2,4,5,3,7,6,1] => 001011 => 110100 => 001011
[2,4,5,6,1,3,7] => 000100 => 001000 => 110111
[2,4,5,6,1,7,3] => 000101 => 101000 => 010111
[2,4,5,6,3,1,7] => 000110 => 011000 => 100111
[2,4,5,6,3,7,1] => 000101 => 101000 => 010111
[2,4,5,6,7,1,3] => 000010 => 010000 => 101111
[2,4,5,6,7,3,1] => 000011 => 110000 => 001111
[2,4,5,7,1,3,6] => 000100 => 001000 => 110111
[2,4,5,7,1,6,3] => 000101 => 101000 => 010111
[2,4,5,7,3,1,6] => 000110 => 011000 => 100111
[2,4,5,7,3,6,1] => 000101 => 101000 => 010111
[2,4,5,7,6,1,3] => 000110 => 011000 => 100111
[2,4,5,7,6,3,1] => 000111 => 111000 => 000111
[2,4,6,1,3,5,7] => 001000 => 000100 => 111011
[2,4,6,1,3,7,5] => 001001 => 100100 => 011011
[2,4,6,1,5,3,7] => 001010 => 010100 => 101011
[2,4,6,1,5,7,3] => 001001 => 100100 => 011011
[2,4,6,1,7,3,5] => 001010 => 010100 => 101011
[2,4,6,1,7,5,3] => 001011 => 110100 => 001011
[2,4,6,3,1,5,7] => 001100 => 001100 => 110011
[2,4,6,3,1,7,5] => 001101 => 101100 => 010011
[2,4,6,3,5,1,7] => 001010 => 010100 => 101011
[2,4,6,3,5,7,1] => 001001 => 100100 => 011011
[2,4,6,3,7,1,5] => 001010 => 010100 => 101011
[2,4,6,3,7,5,1] => 001011 => 110100 => 001011
[2,4,6,5,1,3,7] => 001100 => 001100 => 110011
[2,4,6,5,1,7,3] => 001101 => 101100 => 010011
[2,4,6,5,3,1,7] => 001110 => 011100 => 100011
[2,4,6,5,3,7,1] => 001101 => 101100 => 010011
[2,4,6,5,7,1,3] => 001010 => 010100 => 101011
[2,4,6,5,7,3,1] => 001011 => 110100 => 001011
[2,4,6,7,1,3,5] => 000100 => 001000 => 110111
[2,4,6,7,1,5,3] => 000101 => 101000 => 010111
[2,4,6,7,3,1,5] => 000110 => 011000 => 100111
[2,4,6,7,3,5,1] => 000101 => 101000 => 010111
[2,4,6,7,5,1,3] => 000110 => 011000 => 100111
[2,4,6,7,5,3,1] => 000111 => 111000 => 000111
[2,4,7,1,3,5,6] => 001000 => 000100 => 111011
[2,4,7,1,3,6,5] => 001001 => 100100 => 011011
[2,4,7,1,5,3,6] => 001010 => 010100 => 101011
[2,4,7,1,5,6,3] => 001001 => 100100 => 011011
[2,4,7,1,6,3,5] => 001010 => 010100 => 101011
[2,4,7,1,6,5,3] => 001011 => 110100 => 001011
[2,4,7,3,1,5,6] => 001100 => 001100 => 110011
[2,4,7,3,1,6,5] => 001101 => 101100 => 010011
[2,4,7,3,5,1,6] => 001010 => 010100 => 101011
[2,4,7,3,5,6,1] => 001001 => 100100 => 011011
[2,4,7,3,6,1,5] => 001010 => 010100 => 101011
[2,4,7,3,6,5,1] => 001011 => 110100 => 001011
[2,4,7,5,1,3,6] => 001100 => 001100 => 110011
[2,4,7,5,1,6,3] => 001101 => 101100 => 010011
[2,4,7,5,3,1,6] => 001110 => 011100 => 100011
[2,4,7,5,3,6,1] => 001101 => 101100 => 010011
[2,4,7,5,6,1,3] => 001010 => 010100 => 101011
[2,4,7,5,6,3,1] => 001011 => 110100 => 001011
[2,4,7,6,1,3,5] => 001100 => 001100 => 110011
[2,4,7,6,1,5,3] => 001101 => 101100 => 010011
[2,4,7,6,3,1,5] => 001110 => 011100 => 100011
[2,4,7,6,3,5,1] => 001101 => 101100 => 010011
[2,4,7,6,5,1,3] => 001110 => 011100 => 100011
[2,4,7,6,5,3,1] => 001111 => 111100 => 000011
[2,5,1,3,4,6,7] => 010000 => 000010 => 111101
[2,5,1,3,4,7,6] => 010001 => 100010 => 011101
[2,5,1,3,6,4,7] => 010010 => 010010 => 101101
[2,5,1,3,6,7,4] => 010001 => 100010 => 011101
[2,5,1,3,7,4,6] => 010010 => 010010 => 101101
[2,5,1,3,7,6,4] => 010011 => 110010 => 001101
[2,5,1,4,3,6,7] => 010100 => 001010 => 110101
[2,5,1,4,3,7,6] => 010101 => 101010 => 010101
[2,5,1,4,6,3,7] => 010010 => 010010 => 101101
[2,5,1,4,6,7,3] => 010001 => 100010 => 011101
[2,5,1,4,7,3,6] => 010010 => 010010 => 101101
[2,5,1,4,7,6,3] => 010011 => 110010 => 001101
[2,5,1,6,3,4,7] => 010100 => 001010 => 110101
[2,5,1,6,3,7,4] => 010101 => 101010 => 010101
[2,5,1,6,4,3,7] => 010110 => 011010 => 100101
[2,5,1,6,4,7,3] => 010101 => 101010 => 010101
[2,5,1,6,7,3,4] => 010010 => 010010 => 101101
[2,5,1,6,7,4,3] => 010011 => 110010 => 001101
[2,5,1,7,3,4,6] => 010100 => 001010 => 110101
[2,5,1,7,3,6,4] => 010101 => 101010 => 010101
[2,5,1,7,4,3,6] => 010110 => 011010 => 100101
[2,5,1,7,4,6,3] => 010101 => 101010 => 010101
[2,5,1,7,6,3,4] => 010110 => 011010 => 100101
[2,5,1,7,6,4,3] => 010111 => 111010 => 000101
[2,5,3,1,4,6,7] => 011000 => 000110 => 111001
[2,5,3,1,4,7,6] => 011001 => 100110 => 011001
[2,5,3,1,6,4,7] => 011010 => 010110 => 101001
[2,5,3,1,6,7,4] => 011001 => 100110 => 011001
[2,5,3,1,7,4,6] => 011010 => 010110 => 101001
[2,5,3,1,7,6,4] => 011011 => 110110 => 001001
[2,5,3,4,1,6,7] => 010100 => 001010 => 110101
[2,5,3,4,1,7,6] => 010101 => 101010 => 010101
[2,5,3,4,6,1,7] => 010010 => 010010 => 101101
[2,5,3,4,6,7,1] => 010001 => 100010 => 011101
[2,5,3,4,7,1,6] => 010010 => 010010 => 101101
[2,5,3,4,7,6,1] => 010011 => 110010 => 001101
[2,5,3,6,1,4,7] => 010100 => 001010 => 110101
[2,5,3,6,1,7,4] => 010101 => 101010 => 010101
[2,5,3,6,4,1,7] => 010110 => 011010 => 100101
[2,5,3,6,4,7,1] => 010101 => 101010 => 010101
[2,5,3,6,7,1,4] => 010010 => 010010 => 101101
[2,5,3,6,7,4,1] => 010011 => 110010 => 001101
[2,5,3,7,1,4,6] => 010100 => 001010 => 110101
[2,5,3,7,1,6,4] => 010101 => 101010 => 010101
[2,5,3,7,4,1,6] => 010110 => 011010 => 100101
[2,5,3,7,4,6,1] => 010101 => 101010 => 010101
[2,5,3,7,6,1,4] => 010110 => 011010 => 100101
[2,5,3,7,6,4,1] => 010111 => 111010 => 000101
[2,5,4,1,3,6,7] => 011000 => 000110 => 111001
[2,5,4,1,3,7,6] => 011001 => 100110 => 011001
[2,5,4,1,6,3,7] => 011010 => 010110 => 101001
[2,5,4,1,6,7,3] => 011001 => 100110 => 011001
[2,5,4,1,7,3,6] => 011010 => 010110 => 101001
[2,5,4,1,7,6,3] => 011011 => 110110 => 001001
[2,5,4,3,1,6,7] => 011100 => 001110 => 110001
[2,5,4,3,1,7,6] => 011101 => 101110 => 010001
[2,5,4,3,6,1,7] => 011010 => 010110 => 101001
[2,5,4,3,6,7,1] => 011001 => 100110 => 011001
[2,5,4,3,7,1,6] => 011010 => 010110 => 101001
[2,5,4,3,7,6,1] => 011011 => 110110 => 001001
[2,5,4,6,1,3,7] => 010100 => 001010 => 110101
[2,5,4,6,1,7,3] => 010101 => 101010 => 010101
[2,5,4,6,3,1,7] => 010110 => 011010 => 100101
[2,5,4,6,3,7,1] => 010101 => 101010 => 010101
[2,5,4,6,7,1,3] => 010010 => 010010 => 101101
[2,5,4,6,7,3,1] => 010011 => 110010 => 001101
[2,5,4,7,1,3,6] => 010100 => 001010 => 110101
[2,5,4,7,1,6,3] => 010101 => 101010 => 010101
[2,5,4,7,3,1,6] => 010110 => 011010 => 100101
[2,5,4,7,3,6,1] => 010101 => 101010 => 010101
[2,5,4,7,6,1,3] => 010110 => 011010 => 100101
[2,5,4,7,6,3,1] => 010111 => 111010 => 000101
[2,5,6,1,3,4,7] => 001000 => 000100 => 111011
[2,5,6,1,3,7,4] => 001001 => 100100 => 011011
[2,5,6,1,4,3,7] => 001010 => 010100 => 101011
[2,5,6,1,4,7,3] => 001001 => 100100 => 011011
[2,5,6,1,7,3,4] => 001010 => 010100 => 101011
[2,5,6,1,7,4,3] => 001011 => 110100 => 001011
[2,5,6,3,1,4,7] => 001100 => 001100 => 110011
[2,5,6,3,1,7,4] => 001101 => 101100 => 010011
[2,5,6,3,4,1,7] => 001010 => 010100 => 101011
[2,5,6,3,4,7,1] => 001001 => 100100 => 011011
[2,5,6,3,7,1,4] => 001010 => 010100 => 101011
[2,5,6,3,7,4,1] => 001011 => 110100 => 001011
[2,5,6,4,1,3,7] => 001100 => 001100 => 110011
[2,5,6,4,1,7,3] => 001101 => 101100 => 010011
[2,5,6,4,3,1,7] => 001110 => 011100 => 100011
[2,5,6,4,3,7,1] => 001101 => 101100 => 010011
[2,5,6,4,7,1,3] => 001010 => 010100 => 101011
[2,5,6,4,7,3,1] => 001011 => 110100 => 001011
[2,5,6,7,1,3,4] => 000100 => 001000 => 110111
[2,5,6,7,1,4,3] => 000101 => 101000 => 010111
[2,5,6,7,3,1,4] => 000110 => 011000 => 100111
[2,5,6,7,3,4,1] => 000101 => 101000 => 010111
[2,5,6,7,4,1,3] => 000110 => 011000 => 100111
[2,5,6,7,4,3,1] => 000111 => 111000 => 000111
[2,5,7,1,3,4,6] => 001000 => 000100 => 111011
[2,5,7,1,3,6,4] => 001001 => 100100 => 011011
[2,5,7,1,4,3,6] => 001010 => 010100 => 101011
[2,5,7,1,4,6,3] => 001001 => 100100 => 011011
[2,5,7,1,6,3,4] => 001010 => 010100 => 101011
[2,5,7,1,6,4,3] => 001011 => 110100 => 001011
[2,5,7,3,1,4,6] => 001100 => 001100 => 110011
[2,5,7,3,1,6,4] => 001101 => 101100 => 010011
[2,5,7,3,4,1,6] => 001010 => 010100 => 101011
[2,5,7,3,4,6,1] => 001001 => 100100 => 011011
[2,5,7,3,6,1,4] => 001010 => 010100 => 101011
[2,5,7,3,6,4,1] => 001011 => 110100 => 001011
[2,5,7,4,1,3,6] => 001100 => 001100 => 110011
[2,5,7,4,1,6,3] => 001101 => 101100 => 010011
[2,5,7,4,3,1,6] => 001110 => 011100 => 100011
[2,5,7,4,3,6,1] => 001101 => 101100 => 010011
[2,5,7,4,6,1,3] => 001010 => 010100 => 101011
[2,5,7,4,6,3,1] => 001011 => 110100 => 001011
[2,5,7,6,1,3,4] => 001100 => 001100 => 110011
[2,5,7,6,1,4,3] => 001101 => 101100 => 010011
[2,5,7,6,3,1,4] => 001110 => 011100 => 100011
[2,5,7,6,3,4,1] => 001101 => 101100 => 010011
[2,5,7,6,4,1,3] => 001110 => 011100 => 100011
[2,5,7,6,4,3,1] => 001111 => 111100 => 000011
[2,6,1,3,4,5,7] => 010000 => 000010 => 111101
[2,6,1,3,4,7,5] => 010001 => 100010 => 011101
[2,6,1,3,5,4,7] => 010010 => 010010 => 101101
[2,6,1,3,5,7,4] => 010001 => 100010 => 011101
[2,6,1,3,7,4,5] => 010010 => 010010 => 101101
[2,6,1,3,7,5,4] => 010011 => 110010 => 001101
[2,6,1,4,3,5,7] => 010100 => 001010 => 110101
[2,6,1,4,3,7,5] => 010101 => 101010 => 010101
[2,6,1,4,5,3,7] => 010010 => 010010 => 101101
[2,6,1,4,5,7,3] => 010001 => 100010 => 011101
[2,6,1,4,7,3,5] => 010010 => 010010 => 101101
[2,6,1,4,7,5,3] => 010011 => 110010 => 001101
[2,6,1,5,3,4,7] => 010100 => 001010 => 110101
[2,6,1,5,3,7,4] => 010101 => 101010 => 010101
[2,6,1,5,4,3,7] => 010110 => 011010 => 100101
[2,6,1,5,4,7,3] => 010101 => 101010 => 010101
[2,6,1,5,7,3,4] => 010010 => 010010 => 101101
[2,6,1,5,7,4,3] => 010011 => 110010 => 001101
[2,6,1,7,3,4,5] => 010100 => 001010 => 110101
[2,6,1,7,3,5,4] => 010101 => 101010 => 010101
[2,6,1,7,4,3,5] => 010110 => 011010 => 100101
[2,6,1,7,4,5,3] => 010101 => 101010 => 010101
[2,6,1,7,5,3,4] => 010110 => 011010 => 100101
[2,6,1,7,5,4,3] => 010111 => 111010 => 000101
[2,6,3,1,4,5,7] => 011000 => 000110 => 111001
[2,6,3,1,4,7,5] => 011001 => 100110 => 011001
[2,6,3,1,5,4,7] => 011010 => 010110 => 101001
[2,6,3,1,5,7,4] => 011001 => 100110 => 011001
[2,6,3,1,7,4,5] => 011010 => 010110 => 101001
[2,6,3,1,7,5,4] => 011011 => 110110 => 001001
[2,6,3,4,1,5,7] => 010100 => 001010 => 110101
[2,6,3,4,1,7,5] => 010101 => 101010 => 010101
[2,6,3,4,5,1,7] => 010010 => 010010 => 101101
[2,6,3,4,5,7,1] => 010001 => 100010 => 011101
[2,6,3,4,7,1,5] => 010010 => 010010 => 101101
[2,6,3,4,7,5,1] => 010011 => 110010 => 001101
[2,6,3,5,1,4,7] => 010100 => 001010 => 110101
[2,6,3,5,1,7,4] => 010101 => 101010 => 010101
[2,6,3,5,4,1,7] => 010110 => 011010 => 100101
[2,6,3,5,4,7,1] => 010101 => 101010 => 010101
[2,6,3,5,7,1,4] => 010010 => 010010 => 101101
[2,6,3,5,7,4,1] => 010011 => 110010 => 001101
[2,6,3,7,1,4,5] => 010100 => 001010 => 110101
[2,6,3,7,1,5,4] => 010101 => 101010 => 010101
[2,6,3,7,4,1,5] => 010110 => 011010 => 100101
[2,6,3,7,4,5,1] => 010101 => 101010 => 010101
[2,6,3,7,5,1,4] => 010110 => 011010 => 100101
[2,6,3,7,5,4,1] => 010111 => 111010 => 000101
[2,6,4,1,3,5,7] => 011000 => 000110 => 111001
[2,6,4,1,3,7,5] => 011001 => 100110 => 011001
[2,6,4,1,5,3,7] => 011010 => 010110 => 101001
[2,6,4,1,5,7,3] => 011001 => 100110 => 011001
[2,6,4,1,7,3,5] => 011010 => 010110 => 101001
[2,6,4,1,7,5,3] => 011011 => 110110 => 001001
[2,6,4,3,1,5,7] => 011100 => 001110 => 110001
[2,6,4,3,1,7,5] => 011101 => 101110 => 010001
[2,6,4,3,5,1,7] => 011010 => 010110 => 101001
[2,6,4,3,5,7,1] => 011001 => 100110 => 011001
[2,6,4,3,7,1,5] => 011010 => 010110 => 101001
[2,6,4,3,7,5,1] => 011011 => 110110 => 001001
[2,6,4,5,1,3,7] => 010100 => 001010 => 110101
[2,6,4,5,1,7,3] => 010101 => 101010 => 010101
[2,6,4,5,3,1,7] => 010110 => 011010 => 100101
[2,6,4,5,3,7,1] => 010101 => 101010 => 010101
[2,6,4,5,7,1,3] => 010010 => 010010 => 101101
[2,6,4,5,7,3,1] => 010011 => 110010 => 001101
[2,6,4,7,1,3,5] => 010100 => 001010 => 110101
[2,6,4,7,1,5,3] => 010101 => 101010 => 010101
[2,6,4,7,3,1,5] => 010110 => 011010 => 100101
[2,6,4,7,3,5,1] => 010101 => 101010 => 010101
[2,6,4,7,5,1,3] => 010110 => 011010 => 100101
[2,6,4,7,5,3,1] => 010111 => 111010 => 000101
[2,6,5,1,3,4,7] => 011000 => 000110 => 111001
[2,6,5,1,3,7,4] => 011001 => 100110 => 011001
[2,6,5,1,4,3,7] => 011010 => 010110 => 101001
[2,6,5,1,4,7,3] => 011001 => 100110 => 011001
[2,6,5,1,7,3,4] => 011010 => 010110 => 101001
[2,6,5,1,7,4,3] => 011011 => 110110 => 001001
[2,6,5,3,1,4,7] => 011100 => 001110 => 110001
[2,6,5,3,1,7,4] => 011101 => 101110 => 010001
[2,6,5,3,4,1,7] => 011010 => 010110 => 101001
[2,6,5,3,4,7,1] => 011001 => 100110 => 011001
[2,6,5,3,7,1,4] => 011010 => 010110 => 101001
[2,6,5,3,7,4,1] => 011011 => 110110 => 001001
[2,6,5,4,1,3,7] => 011100 => 001110 => 110001
[2,6,5,4,1,7,3] => 011101 => 101110 => 010001
[2,6,5,4,3,1,7] => 011110 => 011110 => 100001
[2,6,5,4,3,7,1] => 011101 => 101110 => 010001
[2,6,5,4,7,1,3] => 011010 => 010110 => 101001
[2,6,5,4,7,3,1] => 011011 => 110110 => 001001
[2,6,5,7,1,3,4] => 010100 => 001010 => 110101
[2,6,5,7,1,4,3] => 010101 => 101010 => 010101
[2,6,5,7,3,1,4] => 010110 => 011010 => 100101
[2,6,5,7,3,4,1] => 010101 => 101010 => 010101
[2,6,5,7,4,1,3] => 010110 => 011010 => 100101
[2,6,5,7,4,3,1] => 010111 => 111010 => 000101
[2,6,7,1,3,4,5] => 001000 => 000100 => 111011
[2,6,7,1,3,5,4] => 001001 => 100100 => 011011
[2,6,7,1,4,3,5] => 001010 => 010100 => 101011
[2,6,7,1,4,5,3] => 001001 => 100100 => 011011
[2,6,7,1,5,3,4] => 001010 => 010100 => 101011
[2,6,7,1,5,4,3] => 001011 => 110100 => 001011
[2,6,7,3,1,4,5] => 001100 => 001100 => 110011
[2,6,7,3,1,5,4] => 001101 => 101100 => 010011
[2,6,7,3,4,1,5] => 001010 => 010100 => 101011
[2,6,7,3,4,5,1] => 001001 => 100100 => 011011
[2,6,7,3,5,1,4] => 001010 => 010100 => 101011
[2,6,7,3,5,4,1] => 001011 => 110100 => 001011
[2,6,7,4,1,3,5] => 001100 => 001100 => 110011
[2,6,7,4,1,5,3] => 001101 => 101100 => 010011
[2,6,7,4,3,1,5] => 001110 => 011100 => 100011
[2,6,7,4,3,5,1] => 001101 => 101100 => 010011
[2,6,7,4,5,1,3] => 001010 => 010100 => 101011
[2,6,7,4,5,3,1] => 001011 => 110100 => 001011
[2,6,7,5,1,3,4] => 001100 => 001100 => 110011
[2,6,7,5,1,4,3] => 001101 => 101100 => 010011
[2,6,7,5,3,1,4] => 001110 => 011100 => 100011
[2,6,7,5,3,4,1] => 001101 => 101100 => 010011
[2,6,7,5,4,1,3] => 001110 => 011100 => 100011
[2,6,7,5,4,3,1] => 001111 => 111100 => 000011
[2,7,1,3,4,5,6] => 010000 => 000010 => 111101
[2,7,1,3,4,6,5] => 010001 => 100010 => 011101
[2,7,1,3,5,4,6] => 010010 => 010010 => 101101
[2,7,1,3,5,6,4] => 010001 => 100010 => 011101
[2,7,1,3,6,4,5] => 010010 => 010010 => 101101
[2,7,1,3,6,5,4] => 010011 => 110010 => 001101
[2,7,1,4,3,5,6] => 010100 => 001010 => 110101
[2,7,1,4,3,6,5] => 010101 => 101010 => 010101
[2,7,1,4,5,3,6] => 010010 => 010010 => 101101
[2,7,1,4,5,6,3] => 010001 => 100010 => 011101
[2,7,1,4,6,3,5] => 010010 => 010010 => 101101
[2,7,1,4,6,5,3] => 010011 => 110010 => 001101
[2,7,1,5,3,4,6] => 010100 => 001010 => 110101
[2,7,1,5,3,6,4] => 010101 => 101010 => 010101
[2,7,1,5,4,3,6] => 010110 => 011010 => 100101
[2,7,1,5,4,6,3] => 010101 => 101010 => 010101
[2,7,1,5,6,3,4] => 010010 => 010010 => 101101
[2,7,1,5,6,4,3] => 010011 => 110010 => 001101
[2,7,1,6,3,4,5] => 010100 => 001010 => 110101
[2,7,1,6,3,5,4] => 010101 => 101010 => 010101
[2,7,1,6,4,3,5] => 010110 => 011010 => 100101
[2,7,1,6,4,5,3] => 010101 => 101010 => 010101
[2,7,1,6,5,3,4] => 010110 => 011010 => 100101
[2,7,1,6,5,4,3] => 010111 => 111010 => 000101
[2,7,3,1,4,5,6] => 011000 => 000110 => 111001
[2,7,3,1,4,6,5] => 011001 => 100110 => 011001
[2,7,3,1,5,4,6] => 011010 => 010110 => 101001
[2,7,3,1,5,6,4] => 011001 => 100110 => 011001
[2,7,3,1,6,4,5] => 011010 => 010110 => 101001
[2,7,3,1,6,5,4] => 011011 => 110110 => 001001
[2,7,3,4,1,5,6] => 010100 => 001010 => 110101
[2,7,3,4,1,6,5] => 010101 => 101010 => 010101
[2,7,3,4,5,1,6] => 010010 => 010010 => 101101
[2,7,3,4,5,6,1] => 010001 => 100010 => 011101
[2,7,3,4,6,1,5] => 010010 => 010010 => 101101
[2,7,3,4,6,5,1] => 010011 => 110010 => 001101
[2,7,3,5,1,4,6] => 010100 => 001010 => 110101
[2,7,3,5,1,6,4] => 010101 => 101010 => 010101
[2,7,3,5,4,1,6] => 010110 => 011010 => 100101
[2,7,3,5,4,6,1] => 010101 => 101010 => 010101
[2,7,3,5,6,1,4] => 010010 => 010010 => 101101
[2,7,3,5,6,4,1] => 010011 => 110010 => 001101
[2,7,3,6,1,4,5] => 010100 => 001010 => 110101
[2,7,3,6,1,5,4] => 010101 => 101010 => 010101
[2,7,3,6,4,1,5] => 010110 => 011010 => 100101
[2,7,3,6,4,5,1] => 010101 => 101010 => 010101
[2,7,3,6,5,1,4] => 010110 => 011010 => 100101
[2,7,3,6,5,4,1] => 010111 => 111010 => 000101
[2,7,4,1,3,5,6] => 011000 => 000110 => 111001
[2,7,4,1,3,6,5] => 011001 => 100110 => 011001
[2,7,4,1,5,3,6] => 011010 => 010110 => 101001
[2,7,4,1,5,6,3] => 011001 => 100110 => 011001
[2,7,4,1,6,3,5] => 011010 => 010110 => 101001
[2,7,4,1,6,5,3] => 011011 => 110110 => 001001
[2,7,4,3,1,5,6] => 011100 => 001110 => 110001
[2,7,4,3,1,6,5] => 011101 => 101110 => 010001
[2,7,4,3,5,1,6] => 011010 => 010110 => 101001
[2,7,4,3,5,6,1] => 011001 => 100110 => 011001
[2,7,4,3,6,1,5] => 011010 => 010110 => 101001
[2,7,4,3,6,5,1] => 011011 => 110110 => 001001
[2,7,4,5,1,3,6] => 010100 => 001010 => 110101
[2,7,4,5,1,6,3] => 010101 => 101010 => 010101
[2,7,4,5,3,1,6] => 010110 => 011010 => 100101
[2,7,4,5,3,6,1] => 010101 => 101010 => 010101
[2,7,4,5,6,1,3] => 010010 => 010010 => 101101
[2,7,4,5,6,3,1] => 010011 => 110010 => 001101
[2,7,4,6,1,3,5] => 010100 => 001010 => 110101
[2,7,4,6,1,5,3] => 010101 => 101010 => 010101
[2,7,4,6,3,1,5] => 010110 => 011010 => 100101
[2,7,4,6,3,5,1] => 010101 => 101010 => 010101
[2,7,4,6,5,1,3] => 010110 => 011010 => 100101
[2,7,4,6,5,3,1] => 010111 => 111010 => 000101
[2,7,5,1,3,4,6] => 011000 => 000110 => 111001
[2,7,5,1,3,6,4] => 011001 => 100110 => 011001
[2,7,5,1,4,3,6] => 011010 => 010110 => 101001
[2,7,5,1,4,6,3] => 011001 => 100110 => 011001
[2,7,5,1,6,3,4] => 011010 => 010110 => 101001
[2,7,5,1,6,4,3] => 011011 => 110110 => 001001
[2,7,5,3,1,4,6] => 011100 => 001110 => 110001
[2,7,5,3,1,6,4] => 011101 => 101110 => 010001
[2,7,5,3,4,1,6] => 011010 => 010110 => 101001
[2,7,5,3,4,6,1] => 011001 => 100110 => 011001
[2,7,5,3,6,1,4] => 011010 => 010110 => 101001
[2,7,5,3,6,4,1] => 011011 => 110110 => 001001
[2,7,5,4,1,3,6] => 011100 => 001110 => 110001
[2,7,5,4,1,6,3] => 011101 => 101110 => 010001
[2,7,5,4,3,1,6] => 011110 => 011110 => 100001
[2,7,5,4,3,6,1] => 011101 => 101110 => 010001
[2,7,5,4,6,1,3] => 011010 => 010110 => 101001
[2,7,5,4,6,3,1] => 011011 => 110110 => 001001
[2,7,5,6,1,3,4] => 010100 => 001010 => 110101
[2,7,5,6,1,4,3] => 010101 => 101010 => 010101
[2,7,5,6,3,1,4] => 010110 => 011010 => 100101
[2,7,5,6,3,4,1] => 010101 => 101010 => 010101
[2,7,5,6,4,1,3] => 010110 => 011010 => 100101
[2,7,5,6,4,3,1] => 010111 => 111010 => 000101
[2,7,6,1,3,4,5] => 011000 => 000110 => 111001
[2,7,6,1,3,5,4] => 011001 => 100110 => 011001
[2,7,6,1,4,3,5] => 011010 => 010110 => 101001
[2,7,6,1,4,5,3] => 011001 => 100110 => 011001
[2,7,6,1,5,3,4] => 011010 => 010110 => 101001
[2,7,6,1,5,4,3] => 011011 => 110110 => 001001
[2,7,6,3,1,4,5] => 011100 => 001110 => 110001
[2,7,6,3,1,5,4] => 011101 => 101110 => 010001
[2,7,6,3,4,1,5] => 011010 => 010110 => 101001
[2,7,6,3,4,5,1] => 011001 => 100110 => 011001
[2,7,6,3,5,1,4] => 011010 => 010110 => 101001
[2,7,6,3,5,4,1] => 011011 => 110110 => 001001
[2,7,6,4,1,3,5] => 011100 => 001110 => 110001
[2,7,6,4,1,5,3] => 011101 => 101110 => 010001
[2,7,6,4,3,1,5] => 011110 => 011110 => 100001
[2,7,6,4,3,5,1] => 011101 => 101110 => 010001
[2,7,6,4,5,1,3] => 011010 => 010110 => 101001
[2,7,6,4,5,3,1] => 011011 => 110110 => 001001
[2,7,6,5,1,3,4] => 011100 => 001110 => 110001
[2,7,6,5,1,4,3] => 011101 => 101110 => 010001
[2,7,6,5,3,1,4] => 011110 => 011110 => 100001
[2,7,6,5,3,4,1] => 011101 => 101110 => 010001
[2,7,6,5,4,1,3] => 011110 => 011110 => 100001
[2,7,6,5,4,3,1] => 011111 => 111110 => 000001
[3,1,2,4,5,6,7] => 100000 => 000001 => 111110
[3,1,2,4,5,7,6] => 100001 => 100001 => 011110
[3,1,2,4,6,5,7] => 100010 => 010001 => 101110
[3,1,2,4,6,7,5] => 100001 => 100001 => 011110
[3,1,2,4,7,5,6] => 100010 => 010001 => 101110
[3,1,2,4,7,6,5] => 100011 => 110001 => 001110
[3,1,2,5,4,6,7] => 100100 => 001001 => 110110
[3,1,2,5,4,7,6] => 100101 => 101001 => 010110
[3,1,2,5,6,4,7] => 100010 => 010001 => 101110
[3,1,2,5,6,7,4] => 100001 => 100001 => 011110
[3,1,2,5,7,4,6] => 100010 => 010001 => 101110
[3,1,2,5,7,6,4] => 100011 => 110001 => 001110
[3,1,2,6,4,5,7] => 100100 => 001001 => 110110
[3,1,2,6,4,7,5] => 100101 => 101001 => 010110
[3,1,2,6,5,4,7] => 100110 => 011001 => 100110
[3,1,2,6,5,7,4] => 100101 => 101001 => 010110
[3,1,2,6,7,4,5] => 100010 => 010001 => 101110
[3,1,2,6,7,5,4] => 100011 => 110001 => 001110
[3,1,2,7,4,5,6] => 100100 => 001001 => 110110
[3,1,2,7,4,6,5] => 100101 => 101001 => 010110
[3,1,2,7,5,4,6] => 100110 => 011001 => 100110
[3,1,2,7,5,6,4] => 100101 => 101001 => 010110
[3,1,2,7,6,4,5] => 100110 => 011001 => 100110
[3,1,2,7,6,5,4] => 100111 => 111001 => 000110
[3,1,4,2,5,6,7] => 101000 => 000101 => 111010
[3,1,4,2,5,7,6] => 101001 => 100101 => 011010
[3,1,4,2,6,5,7] => 101010 => 010101 => 101010
[3,1,4,2,6,7,5] => 101001 => 100101 => 011010
[3,1,4,2,7,5,6] => 101010 => 010101 => 101010
[3,1,4,2,7,6,5] => 101011 => 110101 => 001010
[3,1,4,5,2,6,7] => 100100 => 001001 => 110110
[3,1,4,5,2,7,6] => 100101 => 101001 => 010110
[3,1,4,5,6,2,7] => 100010 => 010001 => 101110
[3,1,4,5,6,7,2] => 100001 => 100001 => 011110
[3,1,4,5,7,2,6] => 100010 => 010001 => 101110
[3,1,4,5,7,6,2] => 100011 => 110001 => 001110
[3,1,4,6,2,5,7] => 100100 => 001001 => 110110
[3,1,4,6,2,7,5] => 100101 => 101001 => 010110
[3,1,4,6,5,2,7] => 100110 => 011001 => 100110
[3,1,4,6,5,7,2] => 100101 => 101001 => 010110
[3,1,4,6,7,2,5] => 100010 => 010001 => 101110
[3,1,4,6,7,5,2] => 100011 => 110001 => 001110
[3,1,4,7,2,5,6] => 100100 => 001001 => 110110
[3,1,4,7,2,6,5] => 100101 => 101001 => 010110
[3,1,4,7,5,2,6] => 100110 => 011001 => 100110
[3,1,4,7,5,6,2] => 100101 => 101001 => 010110
[3,1,4,7,6,2,5] => 100110 => 011001 => 100110
[3,1,4,7,6,5,2] => 100111 => 111001 => 000110
[3,1,5,2,4,6,7] => 101000 => 000101 => 111010
[3,1,5,2,4,7,6] => 101001 => 100101 => 011010
[3,1,5,2,6,4,7] => 101010 => 010101 => 101010
[3,1,5,2,6,7,4] => 101001 => 100101 => 011010
[3,1,5,2,7,4,6] => 101010 => 010101 => 101010
[3,1,5,2,7,6,4] => 101011 => 110101 => 001010
[3,1,5,4,2,6,7] => 101100 => 001101 => 110010
[3,1,5,4,2,7,6] => 101101 => 101101 => 010010
[3,1,5,4,6,2,7] => 101010 => 010101 => 101010
[3,1,5,4,6,7,2] => 101001 => 100101 => 011010
[3,1,5,4,7,2,6] => 101010 => 010101 => 101010
[3,1,5,4,7,6,2] => 101011 => 110101 => 001010
[3,1,5,6,2,4,7] => 100100 => 001001 => 110110
[3,1,5,6,2,7,4] => 100101 => 101001 => 010110
[3,1,5,6,4,2,7] => 100110 => 011001 => 100110
[3,1,5,6,4,7,2] => 100101 => 101001 => 010110
[3,1,5,6,7,2,4] => 100010 => 010001 => 101110
[3,1,5,6,7,4,2] => 100011 => 110001 => 001110
[3,1,5,7,2,4,6] => 100100 => 001001 => 110110
[3,1,5,7,2,6,4] => 100101 => 101001 => 010110
[3,1,5,7,4,2,6] => 100110 => 011001 => 100110
[3,1,5,7,4,6,2] => 100101 => 101001 => 010110
[3,1,5,7,6,2,4] => 100110 => 011001 => 100110
[3,1,5,7,6,4,2] => 100111 => 111001 => 000110
[3,1,6,2,4,5,7] => 101000 => 000101 => 111010
[3,1,6,2,4,7,5] => 101001 => 100101 => 011010
[3,1,6,2,5,4,7] => 101010 => 010101 => 101010
[3,1,6,2,5,7,4] => 101001 => 100101 => 011010
[3,1,6,2,7,4,5] => 101010 => 010101 => 101010
[3,1,6,2,7,5,4] => 101011 => 110101 => 001010
[3,1,6,4,2,5,7] => 101100 => 001101 => 110010
[3,1,6,4,2,7,5] => 101101 => 101101 => 010010
[3,1,6,4,5,2,7] => 101010 => 010101 => 101010
[3,1,6,4,5,7,2] => 101001 => 100101 => 011010
[3,1,6,4,7,2,5] => 101010 => 010101 => 101010
[3,1,6,4,7,5,2] => 101011 => 110101 => 001010
[3,1,6,5,2,4,7] => 101100 => 001101 => 110010
[3,1,6,5,2,7,4] => 101101 => 101101 => 010010
[3,1,6,5,4,2,7] => 101110 => 011101 => 100010
[3,1,6,5,4,7,2] => 101101 => 101101 => 010010
[3,1,6,5,7,2,4] => 101010 => 010101 => 101010
[3,1,6,5,7,4,2] => 101011 => 110101 => 001010
[3,1,6,7,2,4,5] => 100100 => 001001 => 110110
[3,1,6,7,2,5,4] => 100101 => 101001 => 010110
[3,1,6,7,4,2,5] => 100110 => 011001 => 100110
[3,1,6,7,4,5,2] => 100101 => 101001 => 010110
[3,1,6,7,5,2,4] => 100110 => 011001 => 100110
[3,1,6,7,5,4,2] => 100111 => 111001 => 000110
[3,1,7,2,4,5,6] => 101000 => 000101 => 111010
[3,1,7,2,4,6,5] => 101001 => 100101 => 011010
[3,1,7,2,5,4,6] => 101010 => 010101 => 101010
[3,1,7,2,5,6,4] => 101001 => 100101 => 011010
[3,1,7,2,6,4,5] => 101010 => 010101 => 101010
[3,1,7,2,6,5,4] => 101011 => 110101 => 001010
[3,1,7,4,2,5,6] => 101100 => 001101 => 110010
[3,1,7,4,2,6,5] => 101101 => 101101 => 010010
[3,1,7,4,5,2,6] => 101010 => 010101 => 101010
[3,1,7,4,5,6,2] => 101001 => 100101 => 011010
[3,1,7,4,6,2,5] => 101010 => 010101 => 101010
[3,1,7,4,6,5,2] => 101011 => 110101 => 001010
[3,1,7,5,2,4,6] => 101100 => 001101 => 110010
[3,1,7,5,2,6,4] => 101101 => 101101 => 010010
[3,1,7,5,4,2,6] => 101110 => 011101 => 100010
[3,1,7,5,4,6,2] => 101101 => 101101 => 010010
[3,1,7,5,6,2,4] => 101010 => 010101 => 101010
[3,1,7,5,6,4,2] => 101011 => 110101 => 001010
[3,1,7,6,2,4,5] => 101100 => 001101 => 110010
[3,1,7,6,2,5,4] => 101101 => 101101 => 010010
[3,1,7,6,4,2,5] => 101110 => 011101 => 100010
[3,1,7,6,4,5,2] => 101101 => 101101 => 010010
[3,1,7,6,5,2,4] => 101110 => 011101 => 100010
[3,1,7,6,5,4,2] => 101111 => 111101 => 000010
[3,2,1,4,5,6,7] => 110000 => 000011 => 111100
[3,2,1,4,5,7,6] => 110001 => 100011 => 011100
[3,2,1,4,6,5,7] => 110010 => 010011 => 101100
[3,2,1,4,6,7,5] => 110001 => 100011 => 011100
[3,2,1,4,7,5,6] => 110010 => 010011 => 101100
[3,2,1,4,7,6,5] => 110011 => 110011 => 001100
[3,2,1,5,4,6,7] => 110100 => 001011 => 110100
[3,2,1,5,4,7,6] => 110101 => 101011 => 010100
[3,2,1,5,6,4,7] => 110010 => 010011 => 101100
[3,2,1,5,6,7,4] => 110001 => 100011 => 011100
[3,2,1,5,7,4,6] => 110010 => 010011 => 101100
[3,2,1,5,7,6,4] => 110011 => 110011 => 001100
[3,2,1,6,4,5,7] => 110100 => 001011 => 110100
[3,2,1,6,4,7,5] => 110101 => 101011 => 010100
[3,2,1,6,5,4,7] => 110110 => 011011 => 100100
[3,2,1,6,5,7,4] => 110101 => 101011 => 010100
[3,2,1,6,7,4,5] => 110010 => 010011 => 101100
[3,2,1,6,7,5,4] => 110011 => 110011 => 001100
[3,2,1,7,4,5,6] => 110100 => 001011 => 110100
[3,2,1,7,4,6,5] => 110101 => 101011 => 010100
[3,2,1,7,5,4,6] => 110110 => 011011 => 100100
[3,2,1,7,5,6,4] => 110101 => 101011 => 010100
[3,2,1,7,6,4,5] => 110110 => 011011 => 100100
[3,2,1,7,6,5,4] => 110111 => 111011 => 000100
[3,2,4,1,5,6,7] => 101000 => 000101 => 111010
[3,2,4,1,5,7,6] => 101001 => 100101 => 011010
[3,2,4,1,6,5,7] => 101010 => 010101 => 101010
[3,2,4,1,6,7,5] => 101001 => 100101 => 011010
[3,2,4,1,7,5,6] => 101010 => 010101 => 101010
[3,2,4,1,7,6,5] => 101011 => 110101 => 001010
[3,2,4,5,1,6,7] => 100100 => 001001 => 110110
[3,2,4,5,1,7,6] => 100101 => 101001 => 010110
[3,2,4,5,6,1,7] => 100010 => 010001 => 101110
[3,2,4,5,6,7,1] => 100001 => 100001 => 011110
[3,2,4,5,7,1,6] => 100010 => 010001 => 101110
[3,2,4,5,7,6,1] => 100011 => 110001 => 001110
[3,2,4,6,1,5,7] => 100100 => 001001 => 110110
[3,2,4,6,1,7,5] => 100101 => 101001 => 010110
[3,2,4,6,5,1,7] => 100110 => 011001 => 100110
[3,2,4,6,5,7,1] => 100101 => 101001 => 010110
[3,2,4,6,7,1,5] => 100010 => 010001 => 101110
[3,2,4,6,7,5,1] => 100011 => 110001 => 001110
[3,2,4,7,1,5,6] => 100100 => 001001 => 110110
[3,2,4,7,1,6,5] => 100101 => 101001 => 010110
[3,2,4,7,5,1,6] => 100110 => 011001 => 100110
[3,2,4,7,5,6,1] => 100101 => 101001 => 010110
[3,2,4,7,6,1,5] => 100110 => 011001 => 100110
[3,2,4,7,6,5,1] => 100111 => 111001 => 000110
[3,2,5,1,4,6,7] => 101000 => 000101 => 111010
[3,2,5,1,4,7,6] => 101001 => 100101 => 011010
[3,2,5,1,6,4,7] => 101010 => 010101 => 101010
[3,2,5,1,6,7,4] => 101001 => 100101 => 011010
[3,2,5,1,7,4,6] => 101010 => 010101 => 101010
[3,2,5,1,7,6,4] => 101011 => 110101 => 001010
[3,2,5,4,1,6,7] => 101100 => 001101 => 110010
[3,2,5,4,1,7,6] => 101101 => 101101 => 010010
[3,2,5,4,6,1,7] => 101010 => 010101 => 101010
[3,2,5,4,6,7,1] => 101001 => 100101 => 011010
[3,2,5,4,7,1,6] => 101010 => 010101 => 101010
[3,2,5,4,7,6,1] => 101011 => 110101 => 001010
[3,2,5,6,1,4,7] => 100100 => 001001 => 110110
[3,2,5,6,1,7,4] => 100101 => 101001 => 010110
[3,2,5,6,4,1,7] => 100110 => 011001 => 100110
[3,2,5,6,4,7,1] => 100101 => 101001 => 010110
[3,2,5,6,7,1,4] => 100010 => 010001 => 101110
[3,2,5,6,7,4,1] => 100011 => 110001 => 001110
[3,2,5,7,1,4,6] => 100100 => 001001 => 110110
[3,2,5,7,1,6,4] => 100101 => 101001 => 010110
[3,2,5,7,4,1,6] => 100110 => 011001 => 100110
[3,2,5,7,4,6,1] => 100101 => 101001 => 010110
[3,2,5,7,6,1,4] => 100110 => 011001 => 100110
[3,2,5,7,6,4,1] => 100111 => 111001 => 000110
[3,2,6,1,4,5,7] => 101000 => 000101 => 111010
[3,2,6,1,4,7,5] => 101001 => 100101 => 011010
[3,2,6,1,5,4,7] => 101010 => 010101 => 101010
[3,2,6,1,5,7,4] => 101001 => 100101 => 011010
[3,2,6,1,7,4,5] => 101010 => 010101 => 101010
[3,2,6,1,7,5,4] => 101011 => 110101 => 001010
[3,2,6,4,1,5,7] => 101100 => 001101 => 110010
[3,2,6,4,1,7,5] => 101101 => 101101 => 010010
[3,2,6,4,5,1,7] => 101010 => 010101 => 101010
[3,2,6,4,5,7,1] => 101001 => 100101 => 011010
[3,2,6,4,7,1,5] => 101010 => 010101 => 101010
[3,2,6,4,7,5,1] => 101011 => 110101 => 001010
[3,2,6,5,1,4,7] => 101100 => 001101 => 110010
[3,2,6,5,1,7,4] => 101101 => 101101 => 010010
[3,2,6,5,4,1,7] => 101110 => 011101 => 100010
[3,2,6,5,4,7,1] => 101101 => 101101 => 010010
[3,2,6,5,7,1,4] => 101010 => 010101 => 101010
[3,2,6,5,7,4,1] => 101011 => 110101 => 001010
[3,2,6,7,1,4,5] => 100100 => 001001 => 110110
[3,2,6,7,1,5,4] => 100101 => 101001 => 010110
[3,2,6,7,4,1,5] => 100110 => 011001 => 100110
[3,2,6,7,4,5,1] => 100101 => 101001 => 010110
[3,2,6,7,5,1,4] => 100110 => 011001 => 100110
[3,2,6,7,5,4,1] => 100111 => 111001 => 000110
[3,2,7,1,4,5,6] => 101000 => 000101 => 111010
[3,2,7,1,4,6,5] => 101001 => 100101 => 011010
[3,2,7,1,5,4,6] => 101010 => 010101 => 101010
[3,2,7,1,5,6,4] => 101001 => 100101 => 011010
[3,2,7,1,6,4,5] => 101010 => 010101 => 101010
[3,2,7,1,6,5,4] => 101011 => 110101 => 001010
[3,2,7,4,1,5,6] => 101100 => 001101 => 110010
[3,2,7,4,1,6,5] => 101101 => 101101 => 010010
[3,2,7,4,5,1,6] => 101010 => 010101 => 101010
[3,2,7,4,5,6,1] => 101001 => 100101 => 011010
[3,2,7,4,6,1,5] => 101010 => 010101 => 101010
[3,2,7,4,6,5,1] => 101011 => 110101 => 001010
[3,2,7,5,1,4,6] => 101100 => 001101 => 110010
[3,2,7,5,1,6,4] => 101101 => 101101 => 010010
[3,2,7,5,4,1,6] => 101110 => 011101 => 100010
[3,2,7,5,4,6,1] => 101101 => 101101 => 010010
[3,2,7,5,6,1,4] => 101010 => 010101 => 101010
[3,2,7,5,6,4,1] => 101011 => 110101 => 001010
[3,2,7,6,1,4,5] => 101100 => 001101 => 110010
[3,2,7,6,1,5,4] => 101101 => 101101 => 010010
[3,2,7,6,4,1,5] => 101110 => 011101 => 100010
[3,2,7,6,4,5,1] => 101101 => 101101 => 010010
[3,2,7,6,5,1,4] => 101110 => 011101 => 100010
[3,2,7,6,5,4,1] => 101111 => 111101 => 000010
[3,4,1,2,5,6,7] => 010000 => 000010 => 111101
[3,4,1,2,5,7,6] => 010001 => 100010 => 011101
[3,4,1,2,6,5,7] => 010010 => 010010 => 101101
[3,4,1,2,6,7,5] => 010001 => 100010 => 011101
[3,4,1,2,7,5,6] => 010010 => 010010 => 101101
[3,4,1,2,7,6,5] => 010011 => 110010 => 001101
[3,4,1,5,2,6,7] => 010100 => 001010 => 110101
[3,4,1,5,2,7,6] => 010101 => 101010 => 010101
[3,4,1,5,6,2,7] => 010010 => 010010 => 101101
[3,4,1,5,6,7,2] => 010001 => 100010 => 011101
[3,4,1,5,7,2,6] => 010010 => 010010 => 101101
[3,4,1,5,7,6,2] => 010011 => 110010 => 001101
[3,4,1,6,2,5,7] => 010100 => 001010 => 110101
[3,4,1,6,2,7,5] => 010101 => 101010 => 010101
[3,4,1,6,5,2,7] => 010110 => 011010 => 100101
[3,4,1,6,5,7,2] => 010101 => 101010 => 010101
[3,4,1,6,7,2,5] => 010010 => 010010 => 101101
[3,4,1,6,7,5,2] => 010011 => 110010 => 001101
[3,4,1,7,2,5,6] => 010100 => 001010 => 110101
[3,4,1,7,2,6,5] => 010101 => 101010 => 010101
[3,4,1,7,5,2,6] => 010110 => 011010 => 100101
[3,4,1,7,5,6,2] => 010101 => 101010 => 010101
[3,4,1,7,6,2,5] => 010110 => 011010 => 100101
[3,4,1,7,6,5,2] => 010111 => 111010 => 000101
[3,4,2,1,5,6,7] => 011000 => 000110 => 111001
[3,4,2,1,5,7,6] => 011001 => 100110 => 011001
[3,4,2,1,6,5,7] => 011010 => 010110 => 101001
[3,4,2,1,6,7,5] => 011001 => 100110 => 011001
[3,4,2,1,7,5,6] => 011010 => 010110 => 101001
[3,4,2,1,7,6,5] => 011011 => 110110 => 001001
[3,4,2,5,1,6,7] => 010100 => 001010 => 110101
[3,4,2,5,1,7,6] => 010101 => 101010 => 010101
[3,4,2,5,6,1,7] => 010010 => 010010 => 101101
[3,4,2,5,6,7,1] => 010001 => 100010 => 011101
[3,4,2,5,7,1,6] => 010010 => 010010 => 101101
[3,4,2,5,7,6,1] => 010011 => 110010 => 001101
[3,4,2,6,1,5,7] => 010100 => 001010 => 110101
[3,4,2,6,1,7,5] => 010101 => 101010 => 010101
[3,4,2,6,5,1,7] => 010110 => 011010 => 100101
[3,4,2,6,5,7,1] => 010101 => 101010 => 010101
[3,4,2,6,7,1,5] => 010010 => 010010 => 101101
[3,4,2,6,7,5,1] => 010011 => 110010 => 001101
[3,4,2,7,1,5,6] => 010100 => 001010 => 110101
[3,4,2,7,1,6,5] => 010101 => 101010 => 010101
[3,4,2,7,5,1,6] => 010110 => 011010 => 100101
[3,4,2,7,5,6,1] => 010101 => 101010 => 010101
[3,4,2,7,6,1,5] => 010110 => 011010 => 100101
[3,4,2,7,6,5,1] => 010111 => 111010 => 000101
[3,4,5,1,2,6,7] => 001000 => 000100 => 111011
[3,4,5,1,2,7,6] => 001001 => 100100 => 011011
[3,4,5,1,6,2,7] => 001010 => 010100 => 101011
[3,4,5,1,6,7,2] => 001001 => 100100 => 011011
[3,4,5,1,7,2,6] => 001010 => 010100 => 101011
[3,4,5,1,7,6,2] => 001011 => 110100 => 001011
[3,4,5,2,1,6,7] => 001100 => 001100 => 110011
[3,4,5,2,1,7,6] => 001101 => 101100 => 010011
[3,4,5,2,6,1,7] => 001010 => 010100 => 101011
[3,4,5,2,6,7,1] => 001001 => 100100 => 011011
[3,4,5,2,7,1,6] => 001010 => 010100 => 101011
[3,4,5,2,7,6,1] => 001011 => 110100 => 001011
[3,4,5,6,1,2,7] => 000100 => 001000 => 110111
[3,4,5,6,1,7,2] => 000101 => 101000 => 010111
[3,4,5,6,2,1,7] => 000110 => 011000 => 100111
[3,4,5,6,2,7,1] => 000101 => 101000 => 010111
[3,4,5,6,7,1,2] => 000010 => 010000 => 101111
[3,4,5,6,7,2,1] => 000011 => 110000 => 001111
[3,4,5,7,1,2,6] => 000100 => 001000 => 110111
[3,4,5,7,1,6,2] => 000101 => 101000 => 010111
[3,4,5,7,2,1,6] => 000110 => 011000 => 100111
[3,4,5,7,2,6,1] => 000101 => 101000 => 010111
[3,4,5,7,6,1,2] => 000110 => 011000 => 100111
[3,4,5,7,6,2,1] => 000111 => 111000 => 000111
[3,4,6,1,2,5,7] => 001000 => 000100 => 111011
[3,4,6,1,2,7,5] => 001001 => 100100 => 011011
[3,4,6,1,5,2,7] => 001010 => 010100 => 101011
[3,4,6,1,5,7,2] => 001001 => 100100 => 011011
[3,4,6,1,7,2,5] => 001010 => 010100 => 101011
[3,4,6,1,7,5,2] => 001011 => 110100 => 001011
[3,4,6,2,1,5,7] => 001100 => 001100 => 110011
[3,4,6,2,1,7,5] => 001101 => 101100 => 010011
[3,4,6,2,5,1,7] => 001010 => 010100 => 101011
[3,4,6,2,5,7,1] => 001001 => 100100 => 011011
[3,4,6,2,7,1,5] => 001010 => 010100 => 101011
[3,4,6,2,7,5,1] => 001011 => 110100 => 001011
[3,4,6,5,1,2,7] => 001100 => 001100 => 110011
[3,4,6,5,1,7,2] => 001101 => 101100 => 010011
[3,4,6,5,2,1,7] => 001110 => 011100 => 100011
[3,4,6,5,2,7,1] => 001101 => 101100 => 010011
[3,4,6,5,7,1,2] => 001010 => 010100 => 101011
[3,4,6,5,7,2,1] => 001011 => 110100 => 001011
[3,4,6,7,1,2,5] => 000100 => 001000 => 110111
[3,4,6,7,1,5,2] => 000101 => 101000 => 010111
[3,4,6,7,2,1,5] => 000110 => 011000 => 100111
[3,4,6,7,2,5,1] => 000101 => 101000 => 010111
[3,4,6,7,5,1,2] => 000110 => 011000 => 100111
[3,4,6,7,5,2,1] => 000111 => 111000 => 000111
[3,4,7,1,2,5,6] => 001000 => 000100 => 111011
[3,4,7,1,2,6,5] => 001001 => 100100 => 011011
[3,4,7,1,5,2,6] => 001010 => 010100 => 101011
[3,4,7,1,5,6,2] => 001001 => 100100 => 011011
[3,4,7,1,6,2,5] => 001010 => 010100 => 101011
[3,4,7,1,6,5,2] => 001011 => 110100 => 001011
[3,4,7,2,1,5,6] => 001100 => 001100 => 110011
[3,4,7,2,1,6,5] => 001101 => 101100 => 010011
[3,4,7,2,5,1,6] => 001010 => 010100 => 101011
[3,4,7,2,5,6,1] => 001001 => 100100 => 011011
[3,4,7,2,6,1,5] => 001010 => 010100 => 101011
[3,4,7,2,6,5,1] => 001011 => 110100 => 001011
[3,4,7,5,1,2,6] => 001100 => 001100 => 110011
[3,4,7,5,1,6,2] => 001101 => 101100 => 010011
[3,4,7,5,2,1,6] => 001110 => 011100 => 100011
[3,4,7,5,2,6,1] => 001101 => 101100 => 010011
[3,4,7,5,6,1,2] => 001010 => 010100 => 101011
[3,4,7,5,6,2,1] => 001011 => 110100 => 001011
[3,4,7,6,1,2,5] => 001100 => 001100 => 110011
[3,4,7,6,1,5,2] => 001101 => 101100 => 010011
[3,4,7,6,2,1,5] => 001110 => 011100 => 100011
[3,4,7,6,2,5,1] => 001101 => 101100 => 010011
[3,4,7,6,5,1,2] => 001110 => 011100 => 100011
[3,4,7,6,5,2,1] => 001111 => 111100 => 000011
[3,5,1,2,4,6,7] => 010000 => 000010 => 111101
[3,5,1,2,4,7,6] => 010001 => 100010 => 011101
[3,5,1,2,6,4,7] => 010010 => 010010 => 101101
[3,5,1,2,6,7,4] => 010001 => 100010 => 011101
[3,5,1,2,7,4,6] => 010010 => 010010 => 101101
[3,5,1,2,7,6,4] => 010011 => 110010 => 001101
[3,5,1,4,2,6,7] => 010100 => 001010 => 110101
[3,5,1,4,2,7,6] => 010101 => 101010 => 010101
[3,5,1,4,6,2,7] => 010010 => 010010 => 101101
[3,5,1,4,6,7,2] => 010001 => 100010 => 011101
[3,5,1,4,7,2,6] => 010010 => 010010 => 101101
[3,5,1,4,7,6,2] => 010011 => 110010 => 001101
[3,5,1,6,2,4,7] => 010100 => 001010 => 110101
[3,5,1,6,2,7,4] => 010101 => 101010 => 010101
[3,5,1,6,4,2,7] => 010110 => 011010 => 100101
[3,5,1,6,4,7,2] => 010101 => 101010 => 010101
[3,5,1,6,7,2,4] => 010010 => 010010 => 101101
[3,5,1,6,7,4,2] => 010011 => 110010 => 001101
[3,5,1,7,2,4,6] => 010100 => 001010 => 110101
[3,5,1,7,2,6,4] => 010101 => 101010 => 010101
[3,5,1,7,4,2,6] => 010110 => 011010 => 100101
[3,5,1,7,4,6,2] => 010101 => 101010 => 010101
[3,5,1,7,6,2,4] => 010110 => 011010 => 100101
[3,5,1,7,6,4,2] => 010111 => 111010 => 000101
[3,5,2,1,4,6,7] => 011000 => 000110 => 111001
[3,5,2,1,4,7,6] => 011001 => 100110 => 011001
[3,5,2,1,6,4,7] => 011010 => 010110 => 101001
[3,5,2,1,6,7,4] => 011001 => 100110 => 011001
[3,5,2,1,7,4,6] => 011010 => 010110 => 101001
[3,5,2,1,7,6,4] => 011011 => 110110 => 001001
[3,5,2,4,1,6,7] => 010100 => 001010 => 110101
[3,5,2,4,1,7,6] => 010101 => 101010 => 010101
[3,5,2,4,6,1,7] => 010010 => 010010 => 101101
[3,5,2,4,6,7,1] => 010001 => 100010 => 011101
[3,5,2,4,7,1,6] => 010010 => 010010 => 101101
[3,5,2,4,7,6,1] => 010011 => 110010 => 001101
[3,5,2,6,1,4,7] => 010100 => 001010 => 110101
[3,5,2,6,1,7,4] => 010101 => 101010 => 010101
[3,5,2,6,4,1,7] => 010110 => 011010 => 100101
[3,5,2,6,4,7,1] => 010101 => 101010 => 010101
[3,5,2,6,7,1,4] => 010010 => 010010 => 101101
[3,5,2,6,7,4,1] => 010011 => 110010 => 001101
[3,5,2,7,1,4,6] => 010100 => 001010 => 110101
[3,5,2,7,1,6,4] => 010101 => 101010 => 010101
[3,5,2,7,4,1,6] => 010110 => 011010 => 100101
[3,5,2,7,4,6,1] => 010101 => 101010 => 010101
[3,5,2,7,6,1,4] => 010110 => 011010 => 100101
[3,5,2,7,6,4,1] => 010111 => 111010 => 000101
[3,5,4,1,2,6,7] => 011000 => 000110 => 111001
[3,5,4,1,2,7,6] => 011001 => 100110 => 011001
[3,5,4,1,6,2,7] => 011010 => 010110 => 101001
[3,5,4,1,6,7,2] => 011001 => 100110 => 011001
[3,5,4,1,7,2,6] => 011010 => 010110 => 101001
[3,5,4,1,7,6,2] => 011011 => 110110 => 001001
[3,5,4,2,1,6,7] => 011100 => 001110 => 110001
[3,5,4,2,1,7,6] => 011101 => 101110 => 010001
[3,5,4,2,6,1,7] => 011010 => 010110 => 101001
[3,5,4,2,6,7,1] => 011001 => 100110 => 011001
[3,5,4,2,7,1,6] => 011010 => 010110 => 101001
[3,5,4,2,7,6,1] => 011011 => 110110 => 001001
[3,5,4,6,1,2,7] => 010100 => 001010 => 110101
[3,5,4,6,1,7,2] => 010101 => 101010 => 010101
[3,5,4,6,2,1,7] => 010110 => 011010 => 100101
[3,5,4,6,2,7,1] => 010101 => 101010 => 010101
[3,5,4,6,7,1,2] => 010010 => 010010 => 101101
[3,5,4,6,7,2,1] => 010011 => 110010 => 001101
[3,5,4,7,1,2,6] => 010100 => 001010 => 110101
[3,5,4,7,1,6,2] => 010101 => 101010 => 010101
[3,5,4,7,2,1,6] => 010110 => 011010 => 100101
[3,5,4,7,2,6,1] => 010101 => 101010 => 010101
[3,5,4,7,6,1,2] => 010110 => 011010 => 100101
[3,5,4,7,6,2,1] => 010111 => 111010 => 000101
[3,5,6,1,2,4,7] => 001000 => 000100 => 111011
[3,5,6,1,2,7,4] => 001001 => 100100 => 011011
[3,5,6,1,4,2,7] => 001010 => 010100 => 101011
[3,5,6,1,4,7,2] => 001001 => 100100 => 011011
[3,5,6,1,7,2,4] => 001010 => 010100 => 101011
[3,5,6,1,7,4,2] => 001011 => 110100 => 001011
[3,5,6,2,1,4,7] => 001100 => 001100 => 110011
[3,5,6,2,1,7,4] => 001101 => 101100 => 010011
[3,5,6,2,4,1,7] => 001010 => 010100 => 101011
[3,5,6,2,4,7,1] => 001001 => 100100 => 011011
[3,5,6,2,7,1,4] => 001010 => 010100 => 101011
[3,5,6,2,7,4,1] => 001011 => 110100 => 001011
[3,5,6,4,1,2,7] => 001100 => 001100 => 110011
[3,5,6,4,1,7,2] => 001101 => 101100 => 010011
[3,5,6,4,2,1,7] => 001110 => 011100 => 100011
[3,5,6,4,2,7,1] => 001101 => 101100 => 010011
[3,5,6,4,7,1,2] => 001010 => 010100 => 101011
[3,5,6,4,7,2,1] => 001011 => 110100 => 001011
[3,5,6,7,1,2,4] => 000100 => 001000 => 110111
[3,5,6,7,1,4,2] => 000101 => 101000 => 010111
[3,5,6,7,2,1,4] => 000110 => 011000 => 100111
[3,5,6,7,2,4,1] => 000101 => 101000 => 010111
[3,5,6,7,4,1,2] => 000110 => 011000 => 100111
[3,5,6,7,4,2,1] => 000111 => 111000 => 000111
[3,5,7,1,2,4,6] => 001000 => 000100 => 111011
[3,5,7,1,2,6,4] => 001001 => 100100 => 011011
[3,5,7,1,4,2,6] => 001010 => 010100 => 101011
[3,5,7,1,4,6,2] => 001001 => 100100 => 011011
[3,5,7,1,6,2,4] => 001010 => 010100 => 101011
[3,5,7,1,6,4,2] => 001011 => 110100 => 001011
[3,5,7,2,1,4,6] => 001100 => 001100 => 110011
[3,5,7,2,1,6,4] => 001101 => 101100 => 010011
[3,5,7,2,4,1,6] => 001010 => 010100 => 101011
[3,5,7,2,4,6,1] => 001001 => 100100 => 011011
[3,5,7,2,6,1,4] => 001010 => 010100 => 101011
[3,5,7,2,6,4,1] => 001011 => 110100 => 001011
[3,5,7,4,1,2,6] => 001100 => 001100 => 110011
[3,5,7,4,1,6,2] => 001101 => 101100 => 010011
[3,5,7,4,2,1,6] => 001110 => 011100 => 100011
[3,5,7,4,2,6,1] => 001101 => 101100 => 010011
[3,5,7,4,6,1,2] => 001010 => 010100 => 101011
[3,5,7,4,6,2,1] => 001011 => 110100 => 001011
[3,5,7,6,1,2,4] => 001100 => 001100 => 110011
[3,5,7,6,1,4,2] => 001101 => 101100 => 010011
[3,5,7,6,2,1,4] => 001110 => 011100 => 100011
[3,5,7,6,2,4,1] => 001101 => 101100 => 010011
[3,5,7,6,4,1,2] => 001110 => 011100 => 100011
[3,5,7,6,4,2,1] => 001111 => 111100 => 000011
[3,6,1,2,4,5,7] => 010000 => 000010 => 111101
[3,6,1,2,4,7,5] => 010001 => 100010 => 011101
[3,6,1,2,5,4,7] => 010010 => 010010 => 101101
[3,6,1,2,5,7,4] => 010001 => 100010 => 011101
[3,6,1,2,7,4,5] => 010010 => 010010 => 101101
[3,6,1,2,7,5,4] => 010011 => 110010 => 001101
[3,6,1,4,2,5,7] => 010100 => 001010 => 110101
[3,6,1,4,2,7,5] => 010101 => 101010 => 010101
[3,6,1,4,5,2,7] => 010010 => 010010 => 101101
[3,6,1,4,5,7,2] => 010001 => 100010 => 011101
[3,6,1,4,7,2,5] => 010010 => 010010 => 101101
[3,6,1,4,7,5,2] => 010011 => 110010 => 001101
[3,6,1,5,2,4,7] => 010100 => 001010 => 110101
[3,6,1,5,2,7,4] => 010101 => 101010 => 010101
[3,6,1,5,4,2,7] => 010110 => 011010 => 100101
[3,6,1,5,4,7,2] => 010101 => 101010 => 010101
[3,6,1,5,7,2,4] => 010010 => 010010 => 101101
[3,6,1,5,7,4,2] => 010011 => 110010 => 001101
[3,6,1,7,2,4,5] => 010100 => 001010 => 110101
[3,6,1,7,2,5,4] => 010101 => 101010 => 010101
[3,6,1,7,4,2,5] => 010110 => 011010 => 100101
[3,6,1,7,4,5,2] => 010101 => 101010 => 010101
[3,6,1,7,5,2,4] => 010110 => 011010 => 100101
[3,6,1,7,5,4,2] => 010111 => 111010 => 000101
[3,6,2,1,4,5,7] => 011000 => 000110 => 111001
[3,6,2,1,4,7,5] => 011001 => 100110 => 011001
[3,6,2,1,5,4,7] => 011010 => 010110 => 101001
[3,6,2,1,5,7,4] => 011001 => 100110 => 011001
[3,6,2,1,7,4,5] => 011010 => 010110 => 101001
[3,6,2,1,7,5,4] => 011011 => 110110 => 001001
[3,6,2,4,1,5,7] => 010100 => 001010 => 110101
[3,6,2,4,1,7,5] => 010101 => 101010 => 010101
[3,6,2,4,5,1,7] => 010010 => 010010 => 101101
[3,6,2,4,5,7,1] => 010001 => 100010 => 011101
[3,6,2,4,7,1,5] => 010010 => 010010 => 101101
[3,6,2,4,7,5,1] => 010011 => 110010 => 001101
[3,6,2,5,1,4,7] => 010100 => 001010 => 110101
[3,6,2,5,1,7,4] => 010101 => 101010 => 010101
[3,6,2,5,4,1,7] => 010110 => 011010 => 100101
[3,6,2,5,4,7,1] => 010101 => 101010 => 010101
[3,6,2,5,7,1,4] => 010010 => 010010 => 101101
[3,6,2,5,7,4,1] => 010011 => 110010 => 001101
[3,6,2,7,1,4,5] => 010100 => 001010 => 110101
[3,6,2,7,1,5,4] => 010101 => 101010 => 010101
[3,6,2,7,4,1,5] => 010110 => 011010 => 100101
[3,6,2,7,4,5,1] => 010101 => 101010 => 010101
[3,6,2,7,5,1,4] => 010110 => 011010 => 100101
[3,6,2,7,5,4,1] => 010111 => 111010 => 000101
[3,6,4,1,2,5,7] => 011000 => 000110 => 111001
[3,6,4,1,2,7,5] => 011001 => 100110 => 011001
[3,6,4,1,5,2,7] => 011010 => 010110 => 101001
[3,6,4,1,5,7,2] => 011001 => 100110 => 011001
[3,6,4,1,7,2,5] => 011010 => 010110 => 101001
[3,6,4,1,7,5,2] => 011011 => 110110 => 001001
[3,6,4,2,1,5,7] => 011100 => 001110 => 110001
[3,6,4,2,1,7,5] => 011101 => 101110 => 010001
[3,6,4,2,5,1,7] => 011010 => 010110 => 101001
[3,6,4,2,5,7,1] => 011001 => 100110 => 011001
[3,6,4,2,7,1,5] => 011010 => 010110 => 101001
[3,6,4,2,7,5,1] => 011011 => 110110 => 001001
[3,6,4,5,1,2,7] => 010100 => 001010 => 110101
[3,6,4,5,1,7,2] => 010101 => 101010 => 010101
[3,6,4,5,2,1,7] => 010110 => 011010 => 100101
[3,6,4,5,2,7,1] => 010101 => 101010 => 010101
[3,6,4,5,7,1,2] => 010010 => 010010 => 101101
[3,6,4,5,7,2,1] => 010011 => 110010 => 001101
[3,6,4,7,1,2,5] => 010100 => 001010 => 110101
[3,6,4,7,1,5,2] => 010101 => 101010 => 010101
[3,6,4,7,2,1,5] => 010110 => 011010 => 100101
[3,6,4,7,2,5,1] => 010101 => 101010 => 010101
[3,6,4,7,5,1,2] => 010110 => 011010 => 100101
[3,6,4,7,5,2,1] => 010111 => 111010 => 000101
[3,6,5,1,2,4,7] => 011000 => 000110 => 111001
[3,6,5,1,2,7,4] => 011001 => 100110 => 011001
[3,6,5,1,4,2,7] => 011010 => 010110 => 101001
[3,6,5,1,4,7,2] => 011001 => 100110 => 011001
[3,6,5,1,7,2,4] => 011010 => 010110 => 101001
[3,6,5,1,7,4,2] => 011011 => 110110 => 001001
[3,6,5,2,1,4,7] => 011100 => 001110 => 110001
[3,6,5,2,1,7,4] => 011101 => 101110 => 010001
[3,6,5,2,4,1,7] => 011010 => 010110 => 101001
[3,6,5,2,4,7,1] => 011001 => 100110 => 011001
[3,6,5,2,7,1,4] => 011010 => 010110 => 101001
[3,6,5,2,7,4,1] => 011011 => 110110 => 001001
[3,6,5,4,1,2,7] => 011100 => 001110 => 110001
[3,6,5,4,1,7,2] => 011101 => 101110 => 010001
[3,6,5,4,2,1,7] => 011110 => 011110 => 100001
[3,6,5,4,2,7,1] => 011101 => 101110 => 010001
[3,6,5,4,7,1,2] => 011010 => 010110 => 101001
[3,6,5,4,7,2,1] => 011011 => 110110 => 001001
[3,6,5,7,1,2,4] => 010100 => 001010 => 110101
[3,6,5,7,1,4,2] => 010101 => 101010 => 010101
[3,6,5,7,2,1,4] => 010110 => 011010 => 100101
[3,6,5,7,2,4,1] => 010101 => 101010 => 010101
[3,6,5,7,4,1,2] => 010110 => 011010 => 100101
[3,6,5,7,4,2,1] => 010111 => 111010 => 000101
[3,6,7,1,2,4,5] => 001000 => 000100 => 111011
[3,6,7,1,2,5,4] => 001001 => 100100 => 011011
[3,6,7,1,4,2,5] => 001010 => 010100 => 101011
[3,6,7,1,4,5,2] => 001001 => 100100 => 011011
[3,6,7,1,5,2,4] => 001010 => 010100 => 101011
[3,6,7,1,5,4,2] => 001011 => 110100 => 001011
[3,6,7,2,1,4,5] => 001100 => 001100 => 110011
[3,6,7,2,1,5,4] => 001101 => 101100 => 010011
[3,6,7,2,4,1,5] => 001010 => 010100 => 101011
[3,6,7,2,4,5,1] => 001001 => 100100 => 011011
[3,6,7,2,5,1,4] => 001010 => 010100 => 101011
[3,6,7,2,5,4,1] => 001011 => 110100 => 001011
[3,6,7,4,1,2,5] => 001100 => 001100 => 110011
[3,6,7,4,1,5,2] => 001101 => 101100 => 010011
[3,6,7,4,2,1,5] => 001110 => 011100 => 100011
[3,6,7,4,2,5,1] => 001101 => 101100 => 010011
[3,6,7,4,5,1,2] => 001010 => 010100 => 101011
[3,6,7,4,5,2,1] => 001011 => 110100 => 001011
[3,6,7,5,1,2,4] => 001100 => 001100 => 110011
[3,6,7,5,1,4,2] => 001101 => 101100 => 010011
[3,6,7,5,2,1,4] => 001110 => 011100 => 100011
[3,6,7,5,2,4,1] => 001101 => 101100 => 010011
[3,6,7,5,4,1,2] => 001110 => 011100 => 100011
[3,6,7,5,4,2,1] => 001111 => 111100 => 000011
[3,7,1,2,4,5,6] => 010000 => 000010 => 111101
[3,7,1,2,4,6,5] => 010001 => 100010 => 011101
[3,7,1,2,5,4,6] => 010010 => 010010 => 101101
[3,7,1,2,5,6,4] => 010001 => 100010 => 011101
[3,7,1,2,6,4,5] => 010010 => 010010 => 101101
[3,7,1,2,6,5,4] => 010011 => 110010 => 001101
[3,7,1,4,2,5,6] => 010100 => 001010 => 110101
[3,7,1,4,2,6,5] => 010101 => 101010 => 010101
[3,7,1,4,5,2,6] => 010010 => 010010 => 101101
[3,7,1,4,5,6,2] => 010001 => 100010 => 011101
[3,7,1,4,6,2,5] => 010010 => 010010 => 101101
[3,7,1,4,6,5,2] => 010011 => 110010 => 001101
[3,7,1,5,2,4,6] => 010100 => 001010 => 110101
[3,7,1,5,2,6,4] => 010101 => 101010 => 010101
[3,7,1,5,4,2,6] => 010110 => 011010 => 100101
[3,7,1,5,4,6,2] => 010101 => 101010 => 010101
[3,7,1,5,6,2,4] => 010010 => 010010 => 101101
[3,7,1,5,6,4,2] => 010011 => 110010 => 001101
[3,7,1,6,2,4,5] => 010100 => 001010 => 110101
[3,7,1,6,2,5,4] => 010101 => 101010 => 010101
[3,7,1,6,4,2,5] => 010110 => 011010 => 100101
[3,7,1,6,4,5,2] => 010101 => 101010 => 010101
[3,7,1,6,5,2,4] => 010110 => 011010 => 100101
[3,7,1,6,5,4,2] => 010111 => 111010 => 000101
[3,7,2,1,4,5,6] => 011000 => 000110 => 111001
[3,7,2,1,4,6,5] => 011001 => 100110 => 011001
[3,7,2,1,5,4,6] => 011010 => 010110 => 101001
[3,7,2,1,5,6,4] => 011001 => 100110 => 011001
[3,7,2,1,6,4,5] => 011010 => 010110 => 101001
[3,7,2,1,6,5,4] => 011011 => 110110 => 001001
[3,7,2,4,1,5,6] => 010100 => 001010 => 110101
[3,7,2,4,1,6,5] => 010101 => 101010 => 010101
[3,7,2,4,5,1,6] => 010010 => 010010 => 101101
[3,7,2,4,5,6,1] => 010001 => 100010 => 011101
[3,7,2,4,6,1,5] => 010010 => 010010 => 101101
[3,7,2,4,6,5,1] => 010011 => 110010 => 001101
[3,7,2,5,1,4,6] => 010100 => 001010 => 110101
[3,7,2,5,1,6,4] => 010101 => 101010 => 010101
[3,7,2,5,4,1,6] => 010110 => 011010 => 100101
[3,7,2,5,4,6,1] => 010101 => 101010 => 010101
[3,7,2,5,6,1,4] => 010010 => 010010 => 101101
[3,7,2,5,6,4,1] => 010011 => 110010 => 001101
[3,7,2,6,1,4,5] => 010100 => 001010 => 110101
[3,7,2,6,1,5,4] => 010101 => 101010 => 010101
[3,7,2,6,4,1,5] => 010110 => 011010 => 100101
[3,7,2,6,4,5,1] => 010101 => 101010 => 010101
[3,7,2,6,5,1,4] => 010110 => 011010 => 100101
[3,7,2,6,5,4,1] => 010111 => 111010 => 000101
[3,7,4,1,2,5,6] => 011000 => 000110 => 111001
[3,7,4,1,2,6,5] => 011001 => 100110 => 011001
[3,7,4,1,5,2,6] => 011010 => 010110 => 101001
[3,7,4,1,5,6,2] => 011001 => 100110 => 011001
[3,7,4,1,6,2,5] => 011010 => 010110 => 101001
[3,7,4,1,6,5,2] => 011011 => 110110 => 001001
[3,7,4,2,1,5,6] => 011100 => 001110 => 110001
[3,7,4,2,1,6,5] => 011101 => 101110 => 010001
[3,7,4,2,5,1,6] => 011010 => 010110 => 101001
[3,7,4,2,5,6,1] => 011001 => 100110 => 011001
[3,7,4,2,6,1,5] => 011010 => 010110 => 101001
[3,7,4,2,6,5,1] => 011011 => 110110 => 001001
[3,7,4,5,1,2,6] => 010100 => 001010 => 110101
[3,7,4,5,1,6,2] => 010101 => 101010 => 010101
[3,7,4,5,2,1,6] => 010110 => 011010 => 100101
[3,7,4,5,2,6,1] => 010101 => 101010 => 010101
[3,7,4,5,6,1,2] => 010010 => 010010 => 101101
[3,7,4,5,6,2,1] => 010011 => 110010 => 001101
[3,7,4,6,1,2,5] => 010100 => 001010 => 110101
[3,7,4,6,1,5,2] => 010101 => 101010 => 010101
[3,7,4,6,2,1,5] => 010110 => 011010 => 100101
[3,7,4,6,2,5,1] => 010101 => 101010 => 010101
[3,7,4,6,5,1,2] => 010110 => 011010 => 100101
[3,7,4,6,5,2,1] => 010111 => 111010 => 000101
[3,7,5,1,2,4,6] => 011000 => 000110 => 111001
[3,7,5,1,2,6,4] => 011001 => 100110 => 011001
[3,7,5,1,4,2,6] => 011010 => 010110 => 101001
[3,7,5,1,4,6,2] => 011001 => 100110 => 011001
[3,7,5,1,6,2,4] => 011010 => 010110 => 101001
[3,7,5,1,6,4,2] => 011011 => 110110 => 001001
[3,7,5,2,1,4,6] => 011100 => 001110 => 110001
[3,7,5,2,1,6,4] => 011101 => 101110 => 010001
[3,7,5,2,4,1,6] => 011010 => 010110 => 101001
[3,7,5,2,4,6,1] => 011001 => 100110 => 011001
[3,7,5,2,6,1,4] => 011010 => 010110 => 101001
[3,7,5,2,6,4,1] => 011011 => 110110 => 001001
[3,7,5,4,1,2,6] => 011100 => 001110 => 110001
[3,7,5,4,1,6,2] => 011101 => 101110 => 010001
[3,7,5,4,2,1,6] => 011110 => 011110 => 100001
[3,7,5,4,2,6,1] => 011101 => 101110 => 010001
[3,7,5,4,6,1,2] => 011010 => 010110 => 101001
[3,7,5,4,6,2,1] => 011011 => 110110 => 001001
[3,7,5,6,1,2,4] => 010100 => 001010 => 110101
[3,7,5,6,1,4,2] => 010101 => 101010 => 010101
[3,7,5,6,2,1,4] => 010110 => 011010 => 100101
[3,7,5,6,2,4,1] => 010101 => 101010 => 010101
[3,7,5,6,4,1,2] => 010110 => 011010 => 100101
[3,7,5,6,4,2,1] => 010111 => 111010 => 000101
[3,7,6,1,2,4,5] => 011000 => 000110 => 111001
[3,7,6,1,2,5,4] => 011001 => 100110 => 011001
[3,7,6,1,4,2,5] => 011010 => 010110 => 101001
[3,7,6,1,4,5,2] => 011001 => 100110 => 011001
[3,7,6,1,5,2,4] => 011010 => 010110 => 101001
[3,7,6,1,5,4,2] => 011011 => 110110 => 001001
[3,7,6,2,1,4,5] => 011100 => 001110 => 110001
[3,7,6,2,1,5,4] => 011101 => 101110 => 010001
[3,7,6,2,4,1,5] => 011010 => 010110 => 101001
[3,7,6,2,4,5,1] => 011001 => 100110 => 011001
[3,7,6,2,5,1,4] => 011010 => 010110 => 101001
[3,7,6,2,5,4,1] => 011011 => 110110 => 001001
[3,7,6,4,1,2,5] => 011100 => 001110 => 110001
[3,7,6,4,1,5,2] => 011101 => 101110 => 010001
[3,7,6,4,2,1,5] => 011110 => 011110 => 100001
[3,7,6,4,2,5,1] => 011101 => 101110 => 010001
[3,7,6,4,5,1,2] => 011010 => 010110 => 101001
[3,7,6,4,5,2,1] => 011011 => 110110 => 001001
[3,7,6,5,1,2,4] => 011100 => 001110 => 110001
[3,7,6,5,1,4,2] => 011101 => 101110 => 010001
[3,7,6,5,2,1,4] => 011110 => 011110 => 100001
[3,7,6,5,2,4,1] => 011101 => 101110 => 010001
[3,7,6,5,4,1,2] => 011110 => 011110 => 100001
[3,7,6,5,4,2,1] => 011111 => 111110 => 000001
[4,1,2,3,5,6,7] => 100000 => 000001 => 111110
[4,1,2,3,5,7,6] => 100001 => 100001 => 011110
[4,1,2,3,6,5,7] => 100010 => 010001 => 101110
[4,1,2,3,6,7,5] => 100001 => 100001 => 011110
[4,1,2,3,7,5,6] => 100010 => 010001 => 101110
[4,1,2,3,7,6,5] => 100011 => 110001 => 001110
[4,1,2,5,3,6,7] => 100100 => 001001 => 110110
[4,1,2,5,3,7,6] => 100101 => 101001 => 010110
[4,1,2,5,6,3,7] => 100010 => 010001 => 101110
[4,1,2,5,6,7,3] => 100001 => 100001 => 011110
[4,1,2,5,7,3,6] => 100010 => 010001 => 101110
[4,1,2,5,7,6,3] => 100011 => 110001 => 001110
[4,1,2,6,3,5,7] => 100100 => 001001 => 110110
[4,1,2,6,3,7,5] => 100101 => 101001 => 010110
[4,1,2,6,5,3,7] => 100110 => 011001 => 100110
[4,1,2,6,5,7,3] => 100101 => 101001 => 010110
[4,1,2,6,7,3,5] => 100010 => 010001 => 101110
[4,1,2,6,7,5,3] => 100011 => 110001 => 001110
[4,1,2,7,3,5,6] => 100100 => 001001 => 110110
[4,1,2,7,3,6,5] => 100101 => 101001 => 010110
[4,1,2,7,5,3,6] => 100110 => 011001 => 100110
[4,1,2,7,5,6,3] => 100101 => 101001 => 010110
[4,1,2,7,6,3,5] => 100110 => 011001 => 100110
[4,1,2,7,6,5,3] => 100111 => 111001 => 000110
[4,1,3,2,5,6,7] => 101000 => 000101 => 111010
[4,1,3,2,5,7,6] => 101001 => 100101 => 011010
[4,1,3,2,6,5,7] => 101010 => 010101 => 101010
[4,1,3,2,6,7,5] => 101001 => 100101 => 011010
[4,1,3,2,7,5,6] => 101010 => 010101 => 101010
[4,1,3,2,7,6,5] => 101011 => 110101 => 001010
[4,1,3,5,2,6,7] => 100100 => 001001 => 110110
[4,1,3,5,2,7,6] => 100101 => 101001 => 010110
[4,1,3,5,6,2,7] => 100010 => 010001 => 101110
[4,1,3,5,6,7,2] => 100001 => 100001 => 011110
[4,1,3,5,7,2,6] => 100010 => 010001 => 101110
[4,1,3,5,7,6,2] => 100011 => 110001 => 001110
[4,1,3,6,2,5,7] => 100100 => 001001 => 110110
[4,1,3,6,2,7,5] => 100101 => 101001 => 010110
[4,1,3,6,5,2,7] => 100110 => 011001 => 100110
[4,1,3,6,5,7,2] => 100101 => 101001 => 010110
[4,1,3,6,7,2,5] => 100010 => 010001 => 101110
[4,1,3,6,7,5,2] => 100011 => 110001 => 001110
[4,1,3,7,2,5,6] => 100100 => 001001 => 110110
[4,1,3,7,2,6,5] => 100101 => 101001 => 010110
[4,1,3,7,5,2,6] => 100110 => 011001 => 100110
[4,1,3,7,5,6,2] => 100101 => 101001 => 010110
[4,1,3,7,6,2,5] => 100110 => 011001 => 100110
[4,1,3,7,6,5,2] => 100111 => 111001 => 000110
[4,1,5,2,3,6,7] => 101000 => 000101 => 111010
[4,1,5,2,3,7,6] => 101001 => 100101 => 011010
[4,1,5,2,6,3,7] => 101010 => 010101 => 101010
[4,1,5,2,6,7,3] => 101001 => 100101 => 011010
[4,1,5,2,7,3,6] => 101010 => 010101 => 101010
[4,1,5,2,7,6,3] => 101011 => 110101 => 001010
[4,1,5,3,2,6,7] => 101100 => 001101 => 110010
[4,1,5,3,2,7,6] => 101101 => 101101 => 010010
[4,1,5,3,6,2,7] => 101010 => 010101 => 101010
[4,1,5,3,6,7,2] => 101001 => 100101 => 011010
[4,1,5,3,7,2,6] => 101010 => 010101 => 101010
[4,1,5,3,7,6,2] => 101011 => 110101 => 001010
[4,1,5,6,2,3,7] => 100100 => 001001 => 110110
[4,1,5,6,2,7,3] => 100101 => 101001 => 010110
[4,1,5,6,3,2,7] => 100110 => 011001 => 100110
[4,1,5,6,3,7,2] => 100101 => 101001 => 010110
[4,1,5,6,7,2,3] => 100010 => 010001 => 101110
[4,1,5,6,7,3,2] => 100011 => 110001 => 001110
[4,1,5,7,2,3,6] => 100100 => 001001 => 110110
[4,1,5,7,2,6,3] => 100101 => 101001 => 010110
[4,1,5,7,3,2,6] => 100110 => 011001 => 100110
[4,1,5,7,3,6,2] => 100101 => 101001 => 010110
[4,1,5,7,6,2,3] => 100110 => 011001 => 100110
[4,1,5,7,6,3,2] => 100111 => 111001 => 000110
[4,1,6,2,3,5,7] => 101000 => 000101 => 111010
[4,1,6,2,3,7,5] => 101001 => 100101 => 011010
[4,1,6,2,5,3,7] => 101010 => 010101 => 101010
[4,1,6,2,5,7,3] => 101001 => 100101 => 011010
[4,1,6,2,7,3,5] => 101010 => 010101 => 101010
[4,1,6,2,7,5,3] => 101011 => 110101 => 001010
[4,1,6,3,2,5,7] => 101100 => 001101 => 110010
[4,1,6,3,2,7,5] => 101101 => 101101 => 010010
[4,1,6,3,5,2,7] => 101010 => 010101 => 101010
[4,1,6,3,5,7,2] => 101001 => 100101 => 011010
[4,1,6,3,7,2,5] => 101010 => 010101 => 101010
[4,1,6,3,7,5,2] => 101011 => 110101 => 001010
[4,1,6,5,2,3,7] => 101100 => 001101 => 110010
[4,1,6,5,2,7,3] => 101101 => 101101 => 010010
[4,1,6,5,3,2,7] => 101110 => 011101 => 100010
[4,1,6,5,3,7,2] => 101101 => 101101 => 010010
[4,1,6,5,7,2,3] => 101010 => 010101 => 101010
[4,1,6,5,7,3,2] => 101011 => 110101 => 001010
[4,1,6,7,2,3,5] => 100100 => 001001 => 110110
[4,1,6,7,2,5,3] => 100101 => 101001 => 010110
[4,1,6,7,3,2,5] => 100110 => 011001 => 100110
[4,1,6,7,3,5,2] => 100101 => 101001 => 010110
[4,1,6,7,5,2,3] => 100110 => 011001 => 100110
[4,1,6,7,5,3,2] => 100111 => 111001 => 000110
[4,1,7,2,3,5,6] => 101000 => 000101 => 111010
[4,1,7,2,3,6,5] => 101001 => 100101 => 011010
[4,1,7,2,5,3,6] => 101010 => 010101 => 101010
[4,1,7,2,5,6,3] => 101001 => 100101 => 011010
[4,1,7,2,6,3,5] => 101010 => 010101 => 101010
[4,1,7,2,6,5,3] => 101011 => 110101 => 001010
[4,1,7,3,2,5,6] => 101100 => 001101 => 110010
[4,1,7,3,2,6,5] => 101101 => 101101 => 010010
[4,1,7,3,5,2,6] => 101010 => 010101 => 101010
[4,1,7,3,5,6,2] => 101001 => 100101 => 011010
[4,1,7,3,6,2,5] => 101010 => 010101 => 101010
[4,1,7,3,6,5,2] => 101011 => 110101 => 001010
[4,1,7,5,2,3,6] => 101100 => 001101 => 110010
[4,1,7,5,2,6,3] => 101101 => 101101 => 010010
[4,1,7,5,3,2,6] => 101110 => 011101 => 100010
[4,1,7,5,3,6,2] => 101101 => 101101 => 010010
[4,1,7,5,6,2,3] => 101010 => 010101 => 101010
[4,1,7,5,6,3,2] => 101011 => 110101 => 001010
[4,1,7,6,2,3,5] => 101100 => 001101 => 110010
[4,1,7,6,2,5,3] => 101101 => 101101 => 010010
[4,1,7,6,3,2,5] => 101110 => 011101 => 100010
[4,1,7,6,3,5,2] => 101101 => 101101 => 010010
[4,1,7,6,5,2,3] => 101110 => 011101 => 100010
[4,1,7,6,5,3,2] => 101111 => 111101 => 000010
[4,2,1,3,5,6,7] => 110000 => 000011 => 111100
[4,2,1,3,5,7,6] => 110001 => 100011 => 011100
[4,2,1,3,6,5,7] => 110010 => 010011 => 101100
[4,2,1,3,6,7,5] => 110001 => 100011 => 011100
[4,2,1,3,7,5,6] => 110010 => 010011 => 101100
[4,2,1,3,7,6,5] => 110011 => 110011 => 001100
[4,2,1,5,3,6,7] => 110100 => 001011 => 110100
[4,2,1,5,3,7,6] => 110101 => 101011 => 010100
[4,2,1,5,6,3,7] => 110010 => 010011 => 101100
[4,2,1,5,6,7,3] => 110001 => 100011 => 011100
[4,2,1,5,7,3,6] => 110010 => 010011 => 101100
[4,2,1,5,7,6,3] => 110011 => 110011 => 001100
[4,2,1,6,3,5,7] => 110100 => 001011 => 110100
[4,2,1,6,3,7,5] => 110101 => 101011 => 010100
[4,2,1,6,5,3,7] => 110110 => 011011 => 100100
[4,2,1,6,5,7,3] => 110101 => 101011 => 010100
[4,2,1,6,7,3,5] => 110010 => 010011 => 101100
[4,2,1,6,7,5,3] => 110011 => 110011 => 001100
[4,2,1,7,3,5,6] => 110100 => 001011 => 110100
[4,2,1,7,3,6,5] => 110101 => 101011 => 010100
[4,2,1,7,5,3,6] => 110110 => 011011 => 100100
[4,2,1,7,5,6,3] => 110101 => 101011 => 010100
[4,2,1,7,6,3,5] => 110110 => 011011 => 100100
[4,2,1,7,6,5,3] => 110111 => 111011 => 000100
[4,2,3,1,5,6,7] => 101000 => 000101 => 111010
[4,2,3,1,5,7,6] => 101001 => 100101 => 011010
[4,2,3,1,6,5,7] => 101010 => 010101 => 101010
[4,2,3,1,6,7,5] => 101001 => 100101 => 011010
[4,2,3,1,7,5,6] => 101010 => 010101 => 101010
[4,2,3,1,7,6,5] => 101011 => 110101 => 001010
[4,2,3,5,1,6,7] => 100100 => 001001 => 110110
[4,2,3,5,1,7,6] => 100101 => 101001 => 010110
[4,2,3,5,6,1,7] => 100010 => 010001 => 101110
[4,2,3,5,6,7,1] => 100001 => 100001 => 011110
[4,2,3,5,7,1,6] => 100010 => 010001 => 101110
[4,2,3,5,7,6,1] => 100011 => 110001 => 001110
[4,2,3,6,1,5,7] => 100100 => 001001 => 110110
[4,2,3,6,1,7,5] => 100101 => 101001 => 010110
[4,2,3,6,5,1,7] => 100110 => 011001 => 100110
[4,2,3,6,5,7,1] => 100101 => 101001 => 010110
[4,2,3,6,7,1,5] => 100010 => 010001 => 101110
[4,2,3,6,7,5,1] => 100011 => 110001 => 001110
[4,2,3,7,1,5,6] => 100100 => 001001 => 110110
[4,2,3,7,1,6,5] => 100101 => 101001 => 010110
[4,2,3,7,5,1,6] => 100110 => 011001 => 100110
[4,2,3,7,5,6,1] => 100101 => 101001 => 010110
[4,2,3,7,6,1,5] => 100110 => 011001 => 100110
[4,2,3,7,6,5,1] => 100111 => 111001 => 000110
[4,2,5,1,3,6,7] => 101000 => 000101 => 111010
[4,2,5,1,3,7,6] => 101001 => 100101 => 011010
[4,2,5,1,6,3,7] => 101010 => 010101 => 101010
[4,2,5,1,6,7,3] => 101001 => 100101 => 011010
[4,2,5,1,7,3,6] => 101010 => 010101 => 101010
[4,2,5,1,7,6,3] => 101011 => 110101 => 001010
[4,2,5,3,1,6,7] => 101100 => 001101 => 110010
[4,2,5,3,1,7,6] => 101101 => 101101 => 010010
[4,2,5,3,6,1,7] => 101010 => 010101 => 101010
[4,2,5,3,6,7,1] => 101001 => 100101 => 011010
[4,2,5,3,7,1,6] => 101010 => 010101 => 101010
[4,2,5,3,7,6,1] => 101011 => 110101 => 001010
[4,2,5,6,1,3,7] => 100100 => 001001 => 110110
[4,2,5,6,1,7,3] => 100101 => 101001 => 010110
[4,2,5,6,3,1,7] => 100110 => 011001 => 100110
[4,2,5,6,3,7,1] => 100101 => 101001 => 010110
[4,2,5,6,7,1,3] => 100010 => 010001 => 101110
[4,2,5,6,7,3,1] => 100011 => 110001 => 001110
[4,2,5,7,1,3,6] => 100100 => 001001 => 110110
[4,2,5,7,1,6,3] => 100101 => 101001 => 010110
[4,2,5,7,3,1,6] => 100110 => 011001 => 100110
[4,2,5,7,3,6,1] => 100101 => 101001 => 010110
[4,2,5,7,6,1,3] => 100110 => 011001 => 100110
[4,2,5,7,6,3,1] => 100111 => 111001 => 000110
[4,2,6,1,3,5,7] => 101000 => 000101 => 111010
[4,2,6,1,3,7,5] => 101001 => 100101 => 011010
[4,2,6,1,5,3,7] => 101010 => 010101 => 101010
[4,2,6,1,5,7,3] => 101001 => 100101 => 011010
[4,2,6,1,7,3,5] => 101010 => 010101 => 101010
[4,2,6,1,7,5,3] => 101011 => 110101 => 001010
[4,2,6,3,1,5,7] => 101100 => 001101 => 110010
[4,2,6,3,1,7,5] => 101101 => 101101 => 010010
[4,2,6,3,5,1,7] => 101010 => 010101 => 101010
[4,2,6,3,5,7,1] => 101001 => 100101 => 011010
[4,2,6,3,7,1,5] => 101010 => 010101 => 101010
[4,2,6,3,7,5,1] => 101011 => 110101 => 001010
[4,2,6,5,1,3,7] => 101100 => 001101 => 110010
[4,2,6,5,1,7,3] => 101101 => 101101 => 010010
[4,2,6,5,3,1,7] => 101110 => 011101 => 100010
[4,2,6,5,3,7,1] => 101101 => 101101 => 010010
[4,2,6,5,7,1,3] => 101010 => 010101 => 101010
[4,2,6,5,7,3,1] => 101011 => 110101 => 001010
[4,2,6,7,1,3,5] => 100100 => 001001 => 110110
[4,2,6,7,1,5,3] => 100101 => 101001 => 010110
[4,2,6,7,3,1,5] => 100110 => 011001 => 100110
[4,2,6,7,3,5,1] => 100101 => 101001 => 010110
[4,2,6,7,5,1,3] => 100110 => 011001 => 100110
[4,2,6,7,5,3,1] => 100111 => 111001 => 000110
[4,2,7,1,3,5,6] => 101000 => 000101 => 111010
[4,2,7,1,3,6,5] => 101001 => 100101 => 011010
[4,2,7,1,5,3,6] => 101010 => 010101 => 101010
[4,2,7,1,5,6,3] => 101001 => 100101 => 011010
[4,2,7,1,6,3,5] => 101010 => 010101 => 101010
[4,2,7,1,6,5,3] => 101011 => 110101 => 001010
[4,2,7,3,1,5,6] => 101100 => 001101 => 110010
[4,2,7,3,1,6,5] => 101101 => 101101 => 010010
[4,2,7,3,5,1,6] => 101010 => 010101 => 101010
[4,2,7,3,5,6,1] => 101001 => 100101 => 011010
[4,2,7,3,6,1,5] => 101010 => 010101 => 101010
[4,2,7,3,6,5,1] => 101011 => 110101 => 001010
[4,2,7,5,1,3,6] => 101100 => 001101 => 110010
[4,2,7,5,1,6,3] => 101101 => 101101 => 010010
[4,2,7,5,3,1,6] => 101110 => 011101 => 100010
[4,2,7,5,3,6,1] => 101101 => 101101 => 010010
[4,2,7,5,6,1,3] => 101010 => 010101 => 101010
[4,2,7,5,6,3,1] => 101011 => 110101 => 001010
[4,2,7,6,1,3,5] => 101100 => 001101 => 110010
[4,2,7,6,1,5,3] => 101101 => 101101 => 010010
[4,2,7,6,3,1,5] => 101110 => 011101 => 100010
[4,2,7,6,3,5,1] => 101101 => 101101 => 010010
[4,2,7,6,5,1,3] => 101110 => 011101 => 100010
[4,2,7,6,5,3,1] => 101111 => 111101 => 000010
[4,3,1,2,5,6,7] => 110000 => 000011 => 111100
[4,3,1,2,5,7,6] => 110001 => 100011 => 011100
[4,3,1,2,6,5,7] => 110010 => 010011 => 101100
[4,3,1,2,6,7,5] => 110001 => 100011 => 011100
[4,3,1,2,7,5,6] => 110010 => 010011 => 101100
[4,3,1,2,7,6,5] => 110011 => 110011 => 001100
[4,3,1,5,2,6,7] => 110100 => 001011 => 110100
[4,3,1,5,2,7,6] => 110101 => 101011 => 010100
[4,3,1,5,6,2,7] => 110010 => 010011 => 101100
[4,3,1,5,6,7,2] => 110001 => 100011 => 011100
[4,3,1,5,7,2,6] => 110010 => 010011 => 101100
[4,3,1,5,7,6,2] => 110011 => 110011 => 001100
[4,3,1,6,2,5,7] => 110100 => 001011 => 110100
[4,3,1,6,2,7,5] => 110101 => 101011 => 010100
[4,3,1,6,5,2,7] => 110110 => 011011 => 100100
[4,3,1,6,5,7,2] => 110101 => 101011 => 010100
[4,3,1,6,7,2,5] => 110010 => 010011 => 101100
[4,3,1,6,7,5,2] => 110011 => 110011 => 001100
[4,3,1,7,2,5,6] => 110100 => 001011 => 110100
[4,3,1,7,2,6,5] => 110101 => 101011 => 010100
[4,3,1,7,5,2,6] => 110110 => 011011 => 100100
[4,3,1,7,5,6,2] => 110101 => 101011 => 010100
[4,3,1,7,6,2,5] => 110110 => 011011 => 100100
[4,3,1,7,6,5,2] => 110111 => 111011 => 000100
[4,3,2,1,5,6,7] => 111000 => 000111 => 111000
[4,3,2,1,5,7,6] => 111001 => 100111 => 011000
[4,3,2,1,6,5,7] => 111010 => 010111 => 101000
[4,3,2,1,6,7,5] => 111001 => 100111 => 011000
[4,3,2,1,7,5,6] => 111010 => 010111 => 101000
[4,3,2,1,7,6,5] => 111011 => 110111 => 001000
[4,3,2,5,1,6,7] => 110100 => 001011 => 110100
[4,3,2,5,1,7,6] => 110101 => 101011 => 010100
[4,3,2,5,6,1,7] => 110010 => 010011 => 101100
[4,3,2,5,6,7,1] => 110001 => 100011 => 011100
[4,3,2,5,7,1,6] => 110010 => 010011 => 101100
[4,3,2,5,7,6,1] => 110011 => 110011 => 001100
[4,3,2,6,1,5,7] => 110100 => 001011 => 110100
[4,3,2,6,1,7,5] => 110101 => 101011 => 010100
[4,3,2,6,5,1,7] => 110110 => 011011 => 100100
[4,3,2,6,5,7,1] => 110101 => 101011 => 010100
[4,3,2,6,7,1,5] => 110010 => 010011 => 101100
[4,3,2,6,7,5,1] => 110011 => 110011 => 001100
[4,3,2,7,1,5,6] => 110100 => 001011 => 110100
[4,3,2,7,1,6,5] => 110101 => 101011 => 010100
[4,3,2,7,5,1,6] => 110110 => 011011 => 100100
[4,3,2,7,5,6,1] => 110101 => 101011 => 010100
[4,3,2,7,6,1,5] => 110110 => 011011 => 100100
[4,3,2,7,6,5,1] => 110111 => 111011 => 000100
[4,3,5,1,2,6,7] => 101000 => 000101 => 111010
[4,3,5,1,2,7,6] => 101001 => 100101 => 011010
[4,3,5,1,6,2,7] => 101010 => 010101 => 101010
[4,3,5,1,6,7,2] => 101001 => 100101 => 011010
[4,3,5,1,7,2,6] => 101010 => 010101 => 101010
[4,3,5,1,7,6,2] => 101011 => 110101 => 001010
[4,3,5,2,1,6,7] => 101100 => 001101 => 110010
[4,3,5,2,1,7,6] => 101101 => 101101 => 010010
[4,3,5,2,6,1,7] => 101010 => 010101 => 101010
[4,3,5,2,6,7,1] => 101001 => 100101 => 011010
[4,3,5,2,7,1,6] => 101010 => 010101 => 101010
[4,3,5,2,7,6,1] => 101011 => 110101 => 001010
[4,3,5,6,1,2,7] => 100100 => 001001 => 110110
[4,3,5,6,1,7,2] => 100101 => 101001 => 010110
[4,3,5,6,2,1,7] => 100110 => 011001 => 100110
[4,3,5,6,2,7,1] => 100101 => 101001 => 010110
[4,3,5,6,7,1,2] => 100010 => 010001 => 101110
[4,3,5,6,7,2,1] => 100011 => 110001 => 001110
[4,3,5,7,1,2,6] => 100100 => 001001 => 110110
[4,3,5,7,1,6,2] => 100101 => 101001 => 010110
[4,3,5,7,2,1,6] => 100110 => 011001 => 100110
[4,3,5,7,2,6,1] => 100101 => 101001 => 010110
[4,3,5,7,6,1,2] => 100110 => 011001 => 100110
[4,3,5,7,6,2,1] => 100111 => 111001 => 000110
[4,3,6,1,2,5,7] => 101000 => 000101 => 111010
[4,3,6,1,2,7,5] => 101001 => 100101 => 011010
[4,3,6,1,5,2,7] => 101010 => 010101 => 101010
[4,3,6,1,5,7,2] => 101001 => 100101 => 011010
[4,3,6,1,7,2,5] => 101010 => 010101 => 101010
[4,3,6,1,7,5,2] => 101011 => 110101 => 001010
[4,3,6,2,1,5,7] => 101100 => 001101 => 110010
[4,3,6,2,1,7,5] => 101101 => 101101 => 010010
[4,3,6,2,5,1,7] => 101010 => 010101 => 101010
[4,3,6,2,5,7,1] => 101001 => 100101 => 011010
[4,3,6,2,7,1,5] => 101010 => 010101 => 101010
[4,3,6,2,7,5,1] => 101011 => 110101 => 001010
[4,3,6,5,1,2,7] => 101100 => 001101 => 110010
[4,3,6,5,1,7,2] => 101101 => 101101 => 010010
[4,3,6,5,2,1,7] => 101110 => 011101 => 100010
[4,3,6,5,2,7,1] => 101101 => 101101 => 010010
[4,3,6,5,7,1,2] => 101010 => 010101 => 101010
[4,3,6,5,7,2,1] => 101011 => 110101 => 001010
[4,3,6,7,1,2,5] => 100100 => 001001 => 110110
[4,3,6,7,1,5,2] => 100101 => 101001 => 010110
[4,3,6,7,2,1,5] => 100110 => 011001 => 100110
[4,3,6,7,2,5,1] => 100101 => 101001 => 010110
[4,3,6,7,5,1,2] => 100110 => 011001 => 100110
[4,3,6,7,5,2,1] => 100111 => 111001 => 000110
[4,3,7,1,2,5,6] => 101000 => 000101 => 111010
[4,3,7,1,2,6,5] => 101001 => 100101 => 011010
[4,3,7,1,5,2,6] => 101010 => 010101 => 101010
[4,3,7,1,5,6,2] => 101001 => 100101 => 011010
[4,3,7,1,6,2,5] => 101010 => 010101 => 101010
[4,3,7,1,6,5,2] => 101011 => 110101 => 001010
[4,3,7,2,1,5,6] => 101100 => 001101 => 110010
[4,3,7,2,1,6,5] => 101101 => 101101 => 010010
[4,3,7,2,5,1,6] => 101010 => 010101 => 101010
[4,3,7,2,5,6,1] => 101001 => 100101 => 011010
[4,3,7,2,6,1,5] => 101010 => 010101 => 101010
[4,3,7,2,6,5,1] => 101011 => 110101 => 001010
[4,3,7,5,1,2,6] => 101100 => 001101 => 110010
[4,3,7,5,1,6,2] => 101101 => 101101 => 010010
[4,3,7,5,2,1,6] => 101110 => 011101 => 100010
[4,3,7,5,2,6,1] => 101101 => 101101 => 010010
[4,3,7,5,6,1,2] => 101010 => 010101 => 101010
[4,3,7,5,6,2,1] => 101011 => 110101 => 001010
[4,3,7,6,1,2,5] => 101100 => 001101 => 110010
[4,3,7,6,1,5,2] => 101101 => 101101 => 010010
[4,3,7,6,2,1,5] => 101110 => 011101 => 100010
[4,3,7,6,2,5,1] => 101101 => 101101 => 010010
[4,3,7,6,5,1,2] => 101110 => 011101 => 100010
[4,3,7,6,5,2,1] => 101111 => 111101 => 000010
[4,5,1,2,3,6,7] => 010000 => 000010 => 111101
[4,5,1,2,3,7,6] => 010001 => 100010 => 011101
[4,5,1,2,6,3,7] => 010010 => 010010 => 101101
[4,5,1,2,6,7,3] => 010001 => 100010 => 011101
[4,5,1,2,7,3,6] => 010010 => 010010 => 101101
[4,5,1,2,7,6,3] => 010011 => 110010 => 001101
[4,5,1,3,2,6,7] => 010100 => 001010 => 110101
[4,5,1,3,2,7,6] => 010101 => 101010 => 010101
[4,5,1,3,6,2,7] => 010010 => 010010 => 101101
[4,5,1,3,6,7,2] => 010001 => 100010 => 011101
[4,5,1,3,7,2,6] => 010010 => 010010 => 101101
[4,5,1,3,7,6,2] => 010011 => 110010 => 001101
[4,5,1,6,2,3,7] => 010100 => 001010 => 110101
[4,5,1,6,2,7,3] => 010101 => 101010 => 010101
[4,5,1,6,3,2,7] => 010110 => 011010 => 100101
[4,5,1,6,3,7,2] => 010101 => 101010 => 010101
[4,5,1,6,7,2,3] => 010010 => 010010 => 101101
[4,5,1,6,7,3,2] => 010011 => 110010 => 001101
[4,5,1,7,2,3,6] => 010100 => 001010 => 110101
[4,5,1,7,2,6,3] => 010101 => 101010 => 010101
[4,5,1,7,3,2,6] => 010110 => 011010 => 100101
[4,5,1,7,3,6,2] => 010101 => 101010 => 010101
[4,5,1,7,6,2,3] => 010110 => 011010 => 100101
[4,5,1,7,6,3,2] => 010111 => 111010 => 000101
[4,5,2,1,3,6,7] => 011000 => 000110 => 111001
[4,5,2,1,3,7,6] => 011001 => 100110 => 011001
[4,5,2,1,6,3,7] => 011010 => 010110 => 101001
[4,5,2,1,6,7,3] => 011001 => 100110 => 011001
[4,5,2,1,7,3,6] => 011010 => 010110 => 101001
[4,5,2,1,7,6,3] => 011011 => 110110 => 001001
[4,5,2,3,1,6,7] => 010100 => 001010 => 110101
[4,5,2,3,1,7,6] => 010101 => 101010 => 010101
[4,5,2,3,6,1,7] => 010010 => 010010 => 101101
[4,5,2,3,6,7,1] => 010001 => 100010 => 011101
[4,5,2,3,7,1,6] => 010010 => 010010 => 101101
[4,5,2,3,7,6,1] => 010011 => 110010 => 001101
[4,5,2,6,1,3,7] => 010100 => 001010 => 110101
[4,5,2,6,1,7,3] => 010101 => 101010 => 010101
[4,5,2,6,3,1,7] => 010110 => 011010 => 100101
[4,5,2,6,3,7,1] => 010101 => 101010 => 010101
[4,5,2,6,7,1,3] => 010010 => 010010 => 101101
[4,5,2,6,7,3,1] => 010011 => 110010 => 001101
[4,5,2,7,1,3,6] => 010100 => 001010 => 110101
[4,5,2,7,1,6,3] => 010101 => 101010 => 010101
[4,5,2,7,3,1,6] => 010110 => 011010 => 100101
[4,5,2,7,3,6,1] => 010101 => 101010 => 010101
[4,5,2,7,6,1,3] => 010110 => 011010 => 100101
[4,5,2,7,6,3,1] => 010111 => 111010 => 000101
[4,5,3,1,2,6,7] => 011000 => 000110 => 111001
[4,5,3,1,2,7,6] => 011001 => 100110 => 011001
[4,5,3,1,6,2,7] => 011010 => 010110 => 101001
[4,5,3,1,6,7,2] => 011001 => 100110 => 011001
[4,5,3,1,7,2,6] => 011010 => 010110 => 101001
[4,5,3,1,7,6,2] => 011011 => 110110 => 001001
[4,5,3,2,1,6,7] => 011100 => 001110 => 110001
[4,5,3,2,1,7,6] => 011101 => 101110 => 010001
[4,5,3,2,6,1,7] => 011010 => 010110 => 101001
[4,5,3,2,6,7,1] => 011001 => 100110 => 011001
[4,5,3,2,7,1,6] => 011010 => 010110 => 101001
[4,5,3,2,7,6,1] => 011011 => 110110 => 001001
[4,5,3,6,1,2,7] => 010100 => 001010 => 110101
[4,5,3,6,1,7,2] => 010101 => 101010 => 010101
[4,5,3,6,2,1,7] => 010110 => 011010 => 100101
[4,5,3,6,2,7,1] => 010101 => 101010 => 010101
[4,5,3,6,7,1,2] => 010010 => 010010 => 101101
[4,5,3,6,7,2,1] => 010011 => 110010 => 001101
[4,5,3,7,1,2,6] => 010100 => 001010 => 110101
[4,5,3,7,1,6,2] => 010101 => 101010 => 010101
[4,5,3,7,2,1,6] => 010110 => 011010 => 100101
[4,5,3,7,2,6,1] => 010101 => 101010 => 010101
[4,5,3,7,6,1,2] => 010110 => 011010 => 100101
[4,5,3,7,6,2,1] => 010111 => 111010 => 000101
[4,5,6,1,2,3,7] => 001000 => 000100 => 111011
[4,5,6,1,2,7,3] => 001001 => 100100 => 011011
[4,5,6,1,3,2,7] => 001010 => 010100 => 101011
[4,5,6,1,3,7,2] => 001001 => 100100 => 011011
[4,5,6,1,7,2,3] => 001010 => 010100 => 101011
[4,5,6,1,7,3,2] => 001011 => 110100 => 001011
[4,5,6,2,1,3,7] => 001100 => 001100 => 110011
[4,5,6,2,1,7,3] => 001101 => 101100 => 010011
[4,5,6,2,3,1,7] => 001010 => 010100 => 101011
[4,5,6,2,3,7,1] => 001001 => 100100 => 011011
[4,5,6,2,7,1,3] => 001010 => 010100 => 101011
[4,5,6,2,7,3,1] => 001011 => 110100 => 001011
[4,5,6,3,1,2,7] => 001100 => 001100 => 110011
[4,5,6,3,1,7,2] => 001101 => 101100 => 010011
[4,5,6,3,2,1,7] => 001110 => 011100 => 100011
[4,5,6,3,2,7,1] => 001101 => 101100 => 010011
[4,5,6,3,7,1,2] => 001010 => 010100 => 101011
[4,5,6,3,7,2,1] => 001011 => 110100 => 001011
[4,5,6,7,1,2,3] => 000100 => 001000 => 110111
[4,5,6,7,1,3,2] => 000101 => 101000 => 010111
[4,5,6,7,2,1,3] => 000110 => 011000 => 100111
[4,5,6,7,2,3,1] => 000101 => 101000 => 010111
[4,5,6,7,3,1,2] => 000110 => 011000 => 100111
[4,5,6,7,3,2,1] => 000111 => 111000 => 000111
[4,5,7,1,2,3,6] => 001000 => 000100 => 111011
[4,5,7,1,2,6,3] => 001001 => 100100 => 011011
[4,5,7,1,3,2,6] => 001010 => 010100 => 101011
[4,5,7,1,3,6,2] => 001001 => 100100 => 011011
[4,5,7,1,6,2,3] => 001010 => 010100 => 101011
[4,5,7,1,6,3,2] => 001011 => 110100 => 001011
[4,5,7,2,1,3,6] => 001100 => 001100 => 110011
[4,5,7,2,1,6,3] => 001101 => 101100 => 010011
[4,5,7,2,3,1,6] => 001010 => 010100 => 101011
[4,5,7,2,3,6,1] => 001001 => 100100 => 011011
[4,5,7,2,6,1,3] => 001010 => 010100 => 101011
[4,5,7,2,6,3,1] => 001011 => 110100 => 001011
[4,5,7,3,1,2,6] => 001100 => 001100 => 110011
[4,5,7,3,1,6,2] => 001101 => 101100 => 010011
[4,5,7,3,2,1,6] => 001110 => 011100 => 100011
[4,5,7,3,2,6,1] => 001101 => 101100 => 010011
[4,5,7,3,6,1,2] => 001010 => 010100 => 101011
[4,5,7,3,6,2,1] => 001011 => 110100 => 001011
[4,5,7,6,1,2,3] => 001100 => 001100 => 110011
[4,5,7,6,1,3,2] => 001101 => 101100 => 010011
[4,5,7,6,2,1,3] => 001110 => 011100 => 100011
[4,5,7,6,2,3,1] => 001101 => 101100 => 010011
[4,5,7,6,3,1,2] => 001110 => 011100 => 100011
[4,5,7,6,3,2,1] => 001111 => 111100 => 000011
[4,6,1,2,3,5,7] => 010000 => 000010 => 111101
[4,6,1,2,3,7,5] => 010001 => 100010 => 011101
[4,6,1,2,5,3,7] => 010010 => 010010 => 101101
[4,6,1,2,5,7,3] => 010001 => 100010 => 011101
[4,6,1,2,7,3,5] => 010010 => 010010 => 101101
[4,6,1,2,7,5,3] => 010011 => 110010 => 001101
[4,6,1,3,2,5,7] => 010100 => 001010 => 110101
[4,6,1,3,2,7,5] => 010101 => 101010 => 010101
[4,6,1,3,5,2,7] => 010010 => 010010 => 101101
[4,6,1,3,5,7,2] => 010001 => 100010 => 011101
[4,6,1,3,7,2,5] => 010010 => 010010 => 101101
[4,6,1,3,7,5,2] => 010011 => 110010 => 001101
[4,6,1,5,2,3,7] => 010100 => 001010 => 110101
[4,6,1,5,2,7,3] => 010101 => 101010 => 010101
[4,6,1,5,3,2,7] => 010110 => 011010 => 100101
[4,6,1,5,3,7,2] => 010101 => 101010 => 010101
[4,6,1,5,7,2,3] => 010010 => 010010 => 101101
[4,6,1,5,7,3,2] => 010011 => 110010 => 001101
[4,6,1,7,2,3,5] => 010100 => 001010 => 110101
[4,6,1,7,2,5,3] => 010101 => 101010 => 010101
[4,6,1,7,3,2,5] => 010110 => 011010 => 100101
[4,6,1,7,3,5,2] => 010101 => 101010 => 010101
[4,6,1,7,5,2,3] => 010110 => 011010 => 100101
[4,6,1,7,5,3,2] => 010111 => 111010 => 000101
[4,6,2,1,3,5,7] => 011000 => 000110 => 111001
[4,6,2,1,3,7,5] => 011001 => 100110 => 011001
[4,6,2,1,5,3,7] => 011010 => 010110 => 101001
[4,6,2,1,5,7,3] => 011001 => 100110 => 011001
[4,6,2,1,7,3,5] => 011010 => 010110 => 101001
[4,6,2,1,7,5,3] => 011011 => 110110 => 001001
[4,6,2,3,1,5,7] => 010100 => 001010 => 110101
[4,6,2,3,1,7,5] => 010101 => 101010 => 010101
[4,6,2,3,5,1,7] => 010010 => 010010 => 101101
[4,6,2,3,5,7,1] => 010001 => 100010 => 011101
[4,6,2,3,7,1,5] => 010010 => 010010 => 101101
[4,6,2,3,7,5,1] => 010011 => 110010 => 001101
[4,6,2,5,1,3,7] => 010100 => 001010 => 110101
[4,6,2,5,1,7,3] => 010101 => 101010 => 010101
[4,6,2,5,3,1,7] => 010110 => 011010 => 100101
[4,6,2,5,3,7,1] => 010101 => 101010 => 010101
[4,6,2,5,7,1,3] => 010010 => 010010 => 101101
[4,6,2,5,7,3,1] => 010011 => 110010 => 001101
[4,6,2,7,1,3,5] => 010100 => 001010 => 110101
[4,6,2,7,1,5,3] => 010101 => 101010 => 010101
[4,6,2,7,3,1,5] => 010110 => 011010 => 100101
[4,6,2,7,3,5,1] => 010101 => 101010 => 010101
[4,6,2,7,5,1,3] => 010110 => 011010 => 100101
[4,6,2,7,5,3,1] => 010111 => 111010 => 000101
[4,6,3,1,2,5,7] => 011000 => 000110 => 111001
[4,6,3,1,2,7,5] => 011001 => 100110 => 011001
[4,6,3,1,5,2,7] => 011010 => 010110 => 101001
[4,6,3,1,5,7,2] => 011001 => 100110 => 011001
[4,6,3,1,7,2,5] => 011010 => 010110 => 101001
[4,6,3,1,7,5,2] => 011011 => 110110 => 001001
[4,6,3,2,1,5,7] => 011100 => 001110 => 110001
[4,6,3,2,1,7,5] => 011101 => 101110 => 010001
[4,6,3,2,5,1,7] => 011010 => 010110 => 101001
[4,6,3,2,5,7,1] => 011001 => 100110 => 011001
[4,6,3,2,7,1,5] => 011010 => 010110 => 101001
[4,6,3,2,7,5,1] => 011011 => 110110 => 001001
[4,6,3,5,1,2,7] => 010100 => 001010 => 110101
[4,6,3,5,1,7,2] => 010101 => 101010 => 010101
[4,6,3,5,2,1,7] => 010110 => 011010 => 100101
[4,6,3,5,2,7,1] => 010101 => 101010 => 010101
[4,6,3,5,7,1,2] => 010010 => 010010 => 101101
[4,6,3,5,7,2,1] => 010011 => 110010 => 001101
[4,6,3,7,1,2,5] => 010100 => 001010 => 110101
[4,6,3,7,1,5,2] => 010101 => 101010 => 010101
[4,6,3,7,2,1,5] => 010110 => 011010 => 100101
[4,6,3,7,2,5,1] => 010101 => 101010 => 010101
[4,6,3,7,5,1,2] => 010110 => 011010 => 100101
[4,6,3,7,5,2,1] => 010111 => 111010 => 000101
[4,6,5,1,2,3,7] => 011000 => 000110 => 111001
[4,6,5,1,2,7,3] => 011001 => 100110 => 011001
[4,6,5,1,3,2,7] => 011010 => 010110 => 101001
[4,6,5,1,3,7,2] => 011001 => 100110 => 011001
[4,6,5,1,7,2,3] => 011010 => 010110 => 101001
[4,6,5,1,7,3,2] => 011011 => 110110 => 001001
[4,6,5,2,1,3,7] => 011100 => 001110 => 110001
[4,6,5,2,1,7,3] => 011101 => 101110 => 010001
[4,6,5,2,3,1,7] => 011010 => 010110 => 101001
[4,6,5,2,3,7,1] => 011001 => 100110 => 011001
[4,6,5,2,7,1,3] => 011010 => 010110 => 101001
[4,6,5,2,7,3,1] => 011011 => 110110 => 001001
[4,6,5,3,1,2,7] => 011100 => 001110 => 110001
[4,6,5,3,1,7,2] => 011101 => 101110 => 010001
[4,6,5,3,2,1,7] => 011110 => 011110 => 100001
[4,6,5,3,2,7,1] => 011101 => 101110 => 010001
[4,6,5,3,7,1,2] => 011010 => 010110 => 101001
[4,6,5,3,7,2,1] => 011011 => 110110 => 001001
[4,6,5,7,1,2,3] => 010100 => 001010 => 110101
[4,6,5,7,1,3,2] => 010101 => 101010 => 010101
[4,6,5,7,2,1,3] => 010110 => 011010 => 100101
[4,6,5,7,2,3,1] => 010101 => 101010 => 010101
[4,6,5,7,3,1,2] => 010110 => 011010 => 100101
[4,6,5,7,3,2,1] => 010111 => 111010 => 000101
[4,6,7,1,2,3,5] => 001000 => 000100 => 111011
[4,6,7,1,2,5,3] => 001001 => 100100 => 011011
[4,6,7,1,3,2,5] => 001010 => 010100 => 101011
[4,6,7,1,3,5,2] => 001001 => 100100 => 011011
[4,6,7,1,5,2,3] => 001010 => 010100 => 101011
[4,6,7,1,5,3,2] => 001011 => 110100 => 001011
[4,6,7,2,1,3,5] => 001100 => 001100 => 110011
[4,6,7,2,1,5,3] => 001101 => 101100 => 010011
[4,6,7,2,3,1,5] => 001010 => 010100 => 101011
[4,6,7,2,3,5,1] => 001001 => 100100 => 011011
[4,6,7,2,5,1,3] => 001010 => 010100 => 101011
[4,6,7,2,5,3,1] => 001011 => 110100 => 001011
[4,6,7,3,1,2,5] => 001100 => 001100 => 110011
[4,6,7,3,1,5,2] => 001101 => 101100 => 010011
[4,6,7,3,2,1,5] => 001110 => 011100 => 100011
[4,6,7,3,2,5,1] => 001101 => 101100 => 010011
[4,6,7,3,5,1,2] => 001010 => 010100 => 101011
[4,6,7,3,5,2,1] => 001011 => 110100 => 001011
[4,6,7,5,1,2,3] => 001100 => 001100 => 110011
[4,6,7,5,1,3,2] => 001101 => 101100 => 010011
[4,6,7,5,2,1,3] => 001110 => 011100 => 100011
[4,6,7,5,2,3,1] => 001101 => 101100 => 010011
[4,6,7,5,3,1,2] => 001110 => 011100 => 100011
[4,6,7,5,3,2,1] => 001111 => 111100 => 000011
[4,7,1,2,3,5,6] => 010000 => 000010 => 111101
[4,7,1,2,3,6,5] => 010001 => 100010 => 011101
[4,7,1,2,5,3,6] => 010010 => 010010 => 101101
[4,7,1,2,5,6,3] => 010001 => 100010 => 011101
[4,7,1,2,6,3,5] => 010010 => 010010 => 101101
[4,7,1,2,6,5,3] => 010011 => 110010 => 001101
[4,7,1,3,2,5,6] => 010100 => 001010 => 110101
[4,7,1,3,2,6,5] => 010101 => 101010 => 010101
[4,7,1,3,5,2,6] => 010010 => 010010 => 101101
[4,7,1,3,5,6,2] => 010001 => 100010 => 011101
[4,7,1,3,6,2,5] => 010010 => 010010 => 101101
[4,7,1,3,6,5,2] => 010011 => 110010 => 001101
[4,7,1,5,2,3,6] => 010100 => 001010 => 110101
[4,7,1,5,2,6,3] => 010101 => 101010 => 010101
[4,7,1,5,3,2,6] => 010110 => 011010 => 100101
[4,7,1,5,3,6,2] => 010101 => 101010 => 010101
[4,7,1,5,6,2,3] => 010010 => 010010 => 101101
[4,7,1,5,6,3,2] => 010011 => 110010 => 001101
[4,7,1,6,2,3,5] => 010100 => 001010 => 110101
[4,7,1,6,2,5,3] => 010101 => 101010 => 010101
[4,7,1,6,3,2,5] => 010110 => 011010 => 100101
[4,7,1,6,3,5,2] => 010101 => 101010 => 010101
[4,7,1,6,5,2,3] => 010110 => 011010 => 100101
[4,7,1,6,5,3,2] => 010111 => 111010 => 000101
[4,7,2,1,3,5,6] => 011000 => 000110 => 111001
[4,7,2,1,3,6,5] => 011001 => 100110 => 011001
[4,7,2,1,5,3,6] => 011010 => 010110 => 101001
[4,7,2,1,5,6,3] => 011001 => 100110 => 011001
[4,7,2,1,6,3,5] => 011010 => 010110 => 101001
[4,7,2,1,6,5,3] => 011011 => 110110 => 001001
[4,7,2,3,1,5,6] => 010100 => 001010 => 110101
[4,7,2,3,1,6,5] => 010101 => 101010 => 010101
[4,7,2,3,5,1,6] => 010010 => 010010 => 101101
[4,7,2,3,5,6,1] => 010001 => 100010 => 011101
[4,7,2,3,6,1,5] => 010010 => 010010 => 101101
[4,7,2,3,6,5,1] => 010011 => 110010 => 001101
[4,7,2,5,1,3,6] => 010100 => 001010 => 110101
[4,7,2,5,1,6,3] => 010101 => 101010 => 010101
[4,7,2,5,3,1,6] => 010110 => 011010 => 100101
[4,7,2,5,3,6,1] => 010101 => 101010 => 010101
[4,7,2,5,6,1,3] => 010010 => 010010 => 101101
[4,7,2,5,6,3,1] => 010011 => 110010 => 001101
[4,7,2,6,1,3,5] => 010100 => 001010 => 110101
[4,7,2,6,1,5,3] => 010101 => 101010 => 010101
[4,7,2,6,3,1,5] => 010110 => 011010 => 100101
[4,7,2,6,3,5,1] => 010101 => 101010 => 010101
[4,7,2,6,5,1,3] => 010110 => 011010 => 100101
[4,7,2,6,5,3,1] => 010111 => 111010 => 000101
[4,7,3,1,2,5,6] => 011000 => 000110 => 111001
[4,7,3,1,2,6,5] => 011001 => 100110 => 011001
[4,7,3,1,5,2,6] => 011010 => 010110 => 101001
[4,7,3,1,5,6,2] => 011001 => 100110 => 011001
[4,7,3,1,6,2,5] => 011010 => 010110 => 101001
[4,7,3,1,6,5,2] => 011011 => 110110 => 001001
[4,7,3,2,1,5,6] => 011100 => 001110 => 110001
[4,7,3,2,1,6,5] => 011101 => 101110 => 010001
[4,7,3,2,5,1,6] => 011010 => 010110 => 101001
[4,7,3,2,5,6,1] => 011001 => 100110 => 011001
[4,7,3,2,6,1,5] => 011010 => 010110 => 101001
[4,7,3,2,6,5,1] => 011011 => 110110 => 001001
[4,7,3,5,1,2,6] => 010100 => 001010 => 110101
[4,7,3,5,1,6,2] => 010101 => 101010 => 010101
[4,7,3,5,2,1,6] => 010110 => 011010 => 100101
[4,7,3,5,2,6,1] => 010101 => 101010 => 010101
[4,7,3,5,6,1,2] => 010010 => 010010 => 101101
[4,7,3,5,6,2,1] => 010011 => 110010 => 001101
[4,7,3,6,1,2,5] => 010100 => 001010 => 110101
[4,7,3,6,1,5,2] => 010101 => 101010 => 010101
[4,7,3,6,2,1,5] => 010110 => 011010 => 100101
[4,7,3,6,2,5,1] => 010101 => 101010 => 010101
[4,7,3,6,5,1,2] => 010110 => 011010 => 100101
[4,7,3,6,5,2,1] => 010111 => 111010 => 000101
[4,7,5,1,2,3,6] => 011000 => 000110 => 111001
[4,7,5,1,2,6,3] => 011001 => 100110 => 011001
[4,7,5,1,3,2,6] => 011010 => 010110 => 101001
[4,7,5,1,3,6,2] => 011001 => 100110 => 011001
[4,7,5,1,6,2,3] => 011010 => 010110 => 101001
[4,7,5,1,6,3,2] => 011011 => 110110 => 001001
[4,7,5,2,1,3,6] => 011100 => 001110 => 110001
[4,7,5,2,1,6,3] => 011101 => 101110 => 010001
[4,7,5,2,3,1,6] => 011010 => 010110 => 101001
[4,7,5,2,3,6,1] => 011001 => 100110 => 011001
[4,7,5,2,6,1,3] => 011010 => 010110 => 101001
[4,7,5,2,6,3,1] => 011011 => 110110 => 001001
[4,7,5,3,1,2,6] => 011100 => 001110 => 110001
[4,7,5,3,1,6,2] => 011101 => 101110 => 010001
[4,7,5,3,2,1,6] => 011110 => 011110 => 100001
[4,7,5,3,2,6,1] => 011101 => 101110 => 010001
[4,7,5,3,6,1,2] => 011010 => 010110 => 101001
[4,7,5,3,6,2,1] => 011011 => 110110 => 001001
[4,7,5,6,1,2,3] => 010100 => 001010 => 110101
[4,7,5,6,1,3,2] => 010101 => 101010 => 010101
[4,7,5,6,2,1,3] => 010110 => 011010 => 100101
[4,7,5,6,2,3,1] => 010101 => 101010 => 010101
[4,7,5,6,3,1,2] => 010110 => 011010 => 100101
[4,7,5,6,3,2,1] => 010111 => 111010 => 000101
[4,7,6,1,2,3,5] => 011000 => 000110 => 111001
[4,7,6,1,2,5,3] => 011001 => 100110 => 011001
[4,7,6,1,3,2,5] => 011010 => 010110 => 101001
[4,7,6,1,3,5,2] => 011001 => 100110 => 011001
[4,7,6,1,5,2,3] => 011010 => 010110 => 101001
[4,7,6,1,5,3,2] => 011011 => 110110 => 001001
[4,7,6,2,1,3,5] => 011100 => 001110 => 110001
[4,7,6,2,1,5,3] => 011101 => 101110 => 010001
[4,7,6,2,3,1,5] => 011010 => 010110 => 101001
[4,7,6,2,3,5,1] => 011001 => 100110 => 011001
[4,7,6,2,5,1,3] => 011010 => 010110 => 101001
[4,7,6,2,5,3,1] => 011011 => 110110 => 001001
[4,7,6,3,1,2,5] => 011100 => 001110 => 110001
[4,7,6,3,1,5,2] => 011101 => 101110 => 010001
[4,7,6,3,2,1,5] => 011110 => 011110 => 100001
[4,7,6,3,2,5,1] => 011101 => 101110 => 010001
[4,7,6,3,5,1,2] => 011010 => 010110 => 101001
[4,7,6,3,5,2,1] => 011011 => 110110 => 001001
[4,7,6,5,1,2,3] => 011100 => 001110 => 110001
[4,7,6,5,1,3,2] => 011101 => 101110 => 010001
[4,7,6,5,2,1,3] => 011110 => 011110 => 100001
[4,7,6,5,2,3,1] => 011101 => 101110 => 010001
[4,7,6,5,3,1,2] => 011110 => 011110 => 100001
[4,7,6,5,3,2,1] => 011111 => 111110 => 000001
[5,1,2,3,4,6,7] => 100000 => 000001 => 111110
[5,1,2,3,4,7,6] => 100001 => 100001 => 011110
[5,1,2,3,6,4,7] => 100010 => 010001 => 101110
[5,1,2,3,6,7,4] => 100001 => 100001 => 011110
[5,1,2,3,7,4,6] => 100010 => 010001 => 101110
[5,1,2,3,7,6,4] => 100011 => 110001 => 001110
[5,1,2,4,3,6,7] => 100100 => 001001 => 110110
[5,1,2,4,3,7,6] => 100101 => 101001 => 010110
[5,1,2,4,6,3,7] => 100010 => 010001 => 101110
[5,1,2,4,6,7,3] => 100001 => 100001 => 011110
[5,1,2,4,7,3,6] => 100010 => 010001 => 101110
[5,1,2,4,7,6,3] => 100011 => 110001 => 001110
[5,1,2,6,3,4,7] => 100100 => 001001 => 110110
[5,1,2,6,3,7,4] => 100101 => 101001 => 010110
[5,1,2,6,4,3,7] => 100110 => 011001 => 100110
[5,1,2,6,4,7,3] => 100101 => 101001 => 010110
[5,1,2,6,7,3,4] => 100010 => 010001 => 101110
[5,1,2,6,7,4,3] => 100011 => 110001 => 001110
[5,1,2,7,3,4,6] => 100100 => 001001 => 110110
[5,1,2,7,3,6,4] => 100101 => 101001 => 010110
[5,1,2,7,4,3,6] => 100110 => 011001 => 100110
[5,1,2,7,4,6,3] => 100101 => 101001 => 010110
[5,1,2,7,6,3,4] => 100110 => 011001 => 100110
[5,1,2,7,6,4,3] => 100111 => 111001 => 000110
[5,1,3,2,4,6,7] => 101000 => 000101 => 111010
[5,1,3,2,4,7,6] => 101001 => 100101 => 011010
[5,1,3,2,6,4,7] => 101010 => 010101 => 101010
[5,1,3,2,6,7,4] => 101001 => 100101 => 011010
[5,1,3,2,7,4,6] => 101010 => 010101 => 101010
[5,1,3,2,7,6,4] => 101011 => 110101 => 001010
[5,1,3,4,2,6,7] => 100100 => 001001 => 110110
[5,1,3,4,2,7,6] => 100101 => 101001 => 010110
[5,1,3,4,6,2,7] => 100010 => 010001 => 101110
[5,1,3,4,6,7,2] => 100001 => 100001 => 011110
[5,1,3,4,7,2,6] => 100010 => 010001 => 101110
[5,1,3,4,7,6,2] => 100011 => 110001 => 001110
[5,1,3,6,2,4,7] => 100100 => 001001 => 110110
[5,1,3,6,2,7,4] => 100101 => 101001 => 010110
[5,1,3,6,4,2,7] => 100110 => 011001 => 100110
[5,1,3,6,4,7,2] => 100101 => 101001 => 010110
[5,1,3,6,7,2,4] => 100010 => 010001 => 101110
[5,1,3,6,7,4,2] => 100011 => 110001 => 001110
[5,1,3,7,2,4,6] => 100100 => 001001 => 110110
[5,1,3,7,2,6,4] => 100101 => 101001 => 010110
[5,1,3,7,4,2,6] => 100110 => 011001 => 100110
[5,1,3,7,4,6,2] => 100101 => 101001 => 010110
[5,1,3,7,6,2,4] => 100110 => 011001 => 100110
[5,1,3,7,6,4,2] => 100111 => 111001 => 000110
[5,1,4,2,3,6,7] => 101000 => 000101 => 111010
[5,1,4,2,3,7,6] => 101001 => 100101 => 011010
[5,1,4,2,6,3,7] => 101010 => 010101 => 101010
[5,1,4,2,6,7,3] => 101001 => 100101 => 011010
[5,1,4,2,7,3,6] => 101010 => 010101 => 101010
[5,1,4,2,7,6,3] => 101011 => 110101 => 001010
[5,1,4,3,2,6,7] => 101100 => 001101 => 110010
[5,1,4,3,2,7,6] => 101101 => 101101 => 010010
[5,1,4,3,6,2,7] => 101010 => 010101 => 101010
[5,1,4,3,6,7,2] => 101001 => 100101 => 011010
[5,1,4,3,7,2,6] => 101010 => 010101 => 101010
[5,1,4,3,7,6,2] => 101011 => 110101 => 001010
[5,1,4,6,2,3,7] => 100100 => 001001 => 110110
[5,1,4,6,2,7,3] => 100101 => 101001 => 010110
[5,1,4,6,3,2,7] => 100110 => 011001 => 100110
[5,1,4,6,3,7,2] => 100101 => 101001 => 010110
[5,1,4,6,7,2,3] => 100010 => 010001 => 101110
[5,1,4,6,7,3,2] => 100011 => 110001 => 001110
[5,1,4,7,2,3,6] => 100100 => 001001 => 110110
[5,1,4,7,2,6,3] => 100101 => 101001 => 010110
[5,1,4,7,3,2,6] => 100110 => 011001 => 100110
[5,1,4,7,3,6,2] => 100101 => 101001 => 010110
[5,1,4,7,6,2,3] => 100110 => 011001 => 100110
[5,1,4,7,6,3,2] => 100111 => 111001 => 000110
[5,1,6,2,3,4,7] => 101000 => 000101 => 111010
[5,1,6,2,3,7,4] => 101001 => 100101 => 011010
[5,1,6,2,4,3,7] => 101010 => 010101 => 101010
[5,1,6,2,4,7,3] => 101001 => 100101 => 011010
[5,1,6,2,7,3,4] => 101010 => 010101 => 101010
[5,1,6,2,7,4,3] => 101011 => 110101 => 001010
[5,1,6,3,2,4,7] => 101100 => 001101 => 110010
[5,1,6,3,2,7,4] => 101101 => 101101 => 010010
[5,1,6,3,4,2,7] => 101010 => 010101 => 101010
[5,1,6,3,4,7,2] => 101001 => 100101 => 011010
[5,1,6,3,7,2,4] => 101010 => 010101 => 101010
[5,1,6,3,7,4,2] => 101011 => 110101 => 001010
[5,1,6,4,2,3,7] => 101100 => 001101 => 110010
[5,1,6,4,2,7,3] => 101101 => 101101 => 010010
[5,1,6,4,3,2,7] => 101110 => 011101 => 100010
[5,1,6,4,3,7,2] => 101101 => 101101 => 010010
[5,1,6,4,7,2,3] => 101010 => 010101 => 101010
[5,1,6,4,7,3,2] => 101011 => 110101 => 001010
[5,1,6,7,2,3,4] => 100100 => 001001 => 110110
[5,1,6,7,2,4,3] => 100101 => 101001 => 010110
[5,1,6,7,3,2,4] => 100110 => 011001 => 100110
[5,1,6,7,3,4,2] => 100101 => 101001 => 010110
[5,1,6,7,4,2,3] => 100110 => 011001 => 100110
[5,1,6,7,4,3,2] => 100111 => 111001 => 000110
[5,1,7,2,3,4,6] => 101000 => 000101 => 111010
[5,1,7,2,3,6,4] => 101001 => 100101 => 011010
[5,1,7,2,4,3,6] => 101010 => 010101 => 101010
[5,1,7,2,4,6,3] => 101001 => 100101 => 011010
[5,1,7,2,6,3,4] => 101010 => 010101 => 101010
[5,1,7,2,6,4,3] => 101011 => 110101 => 001010
[5,1,7,3,2,4,6] => 101100 => 001101 => 110010
[5,1,7,3,2,6,4] => 101101 => 101101 => 010010
[5,1,7,3,4,2,6] => 101010 => 010101 => 101010
[5,1,7,3,4,6,2] => 101001 => 100101 => 011010
[5,1,7,3,6,2,4] => 101010 => 010101 => 101010
[5,1,7,3,6,4,2] => 101011 => 110101 => 001010
[5,1,7,4,2,3,6] => 101100 => 001101 => 110010
[5,1,7,4,2,6,3] => 101101 => 101101 => 010010
[5,1,7,4,3,2,6] => 101110 => 011101 => 100010
[5,1,7,4,3,6,2] => 101101 => 101101 => 010010
[5,1,7,4,6,2,3] => 101010 => 010101 => 101010
[5,1,7,4,6,3,2] => 101011 => 110101 => 001010
[5,1,7,6,2,3,4] => 101100 => 001101 => 110010
[5,1,7,6,2,4,3] => 101101 => 101101 => 010010
[5,1,7,6,3,2,4] => 101110 => 011101 => 100010
[5,1,7,6,3,4,2] => 101101 => 101101 => 010010
[5,1,7,6,4,2,3] => 101110 => 011101 => 100010
[5,1,7,6,4,3,2] => 101111 => 111101 => 000010
[5,2,1,3,4,6,7] => 110000 => 000011 => 111100
[5,2,1,3,4,7,6] => 110001 => 100011 => 011100
[5,2,1,3,6,4,7] => 110010 => 010011 => 101100
[5,2,1,3,6,7,4] => 110001 => 100011 => 011100
[5,2,1,3,7,4,6] => 110010 => 010011 => 101100
[5,2,1,3,7,6,4] => 110011 => 110011 => 001100
[5,2,1,4,3,6,7] => 110100 => 001011 => 110100
[5,2,1,4,3,7,6] => 110101 => 101011 => 010100
[5,2,1,4,6,3,7] => 110010 => 010011 => 101100
[5,2,1,4,6,7,3] => 110001 => 100011 => 011100
[5,2,1,4,7,3,6] => 110010 => 010011 => 101100
[5,2,1,4,7,6,3] => 110011 => 110011 => 001100
[5,2,1,6,3,4,7] => 110100 => 001011 => 110100
[5,2,1,6,3,7,4] => 110101 => 101011 => 010100
[5,2,1,6,4,3,7] => 110110 => 011011 => 100100
[5,2,1,6,4,7,3] => 110101 => 101011 => 010100
[5,2,1,6,7,3,4] => 110010 => 010011 => 101100
[5,2,1,6,7,4,3] => 110011 => 110011 => 001100
[5,2,1,7,3,4,6] => 110100 => 001011 => 110100
[5,2,1,7,3,6,4] => 110101 => 101011 => 010100
[5,2,1,7,4,3,6] => 110110 => 011011 => 100100
[5,2,1,7,4,6,3] => 110101 => 101011 => 010100
[5,2,1,7,6,3,4] => 110110 => 011011 => 100100
[5,2,1,7,6,4,3] => 110111 => 111011 => 000100
[5,2,3,1,4,6,7] => 101000 => 000101 => 111010
[5,2,3,1,4,7,6] => 101001 => 100101 => 011010
[5,2,3,1,6,4,7] => 101010 => 010101 => 101010
[5,2,3,1,6,7,4] => 101001 => 100101 => 011010
[5,2,3,1,7,4,6] => 101010 => 010101 => 101010
[5,2,3,1,7,6,4] => 101011 => 110101 => 001010
[5,2,3,4,1,6,7] => 100100 => 001001 => 110110
[5,2,3,4,1,7,6] => 100101 => 101001 => 010110
[5,2,3,4,6,1,7] => 100010 => 010001 => 101110
[5,2,3,4,6,7,1] => 100001 => 100001 => 011110
[5,2,3,4,7,1,6] => 100010 => 010001 => 101110
[5,2,3,4,7,6,1] => 100011 => 110001 => 001110
[5,2,3,6,1,4,7] => 100100 => 001001 => 110110
[5,2,3,6,1,7,4] => 100101 => 101001 => 010110
[5,2,3,6,4,1,7] => 100110 => 011001 => 100110
[5,2,3,6,4,7,1] => 100101 => 101001 => 010110
[5,2,3,6,7,1,4] => 100010 => 010001 => 101110
[5,2,3,6,7,4,1] => 100011 => 110001 => 001110
[5,2,3,7,1,4,6] => 100100 => 001001 => 110110
[5,2,3,7,1,6,4] => 100101 => 101001 => 010110
[5,2,3,7,4,1,6] => 100110 => 011001 => 100110
[5,2,3,7,4,6,1] => 100101 => 101001 => 010110
[5,2,3,7,6,1,4] => 100110 => 011001 => 100110
[5,2,3,7,6,4,1] => 100111 => 111001 => 000110
[5,2,4,1,3,6,7] => 101000 => 000101 => 111010
[5,2,4,1,3,7,6] => 101001 => 100101 => 011010
[5,2,4,1,6,3,7] => 101010 => 010101 => 101010
[5,2,4,1,6,7,3] => 101001 => 100101 => 011010
[5,2,4,1,7,3,6] => 101010 => 010101 => 101010
[5,2,4,1,7,6,3] => 101011 => 110101 => 001010
[5,2,4,3,1,6,7] => 101100 => 001101 => 110010
[5,2,4,3,1,7,6] => 101101 => 101101 => 010010
[5,2,4,3,6,1,7] => 101010 => 010101 => 101010
[5,2,4,3,6,7,1] => 101001 => 100101 => 011010
[5,2,4,3,7,1,6] => 101010 => 010101 => 101010
[5,2,4,3,7,6,1] => 101011 => 110101 => 001010
[5,2,4,6,1,3,7] => 100100 => 001001 => 110110
[5,2,4,6,1,7,3] => 100101 => 101001 => 010110
[5,2,4,6,3,1,7] => 100110 => 011001 => 100110
[5,2,4,6,3,7,1] => 100101 => 101001 => 010110
[5,2,4,6,7,1,3] => 100010 => 010001 => 101110
[5,2,4,6,7,3,1] => 100011 => 110001 => 001110
[5,2,4,7,1,3,6] => 100100 => 001001 => 110110
[5,2,4,7,1,6,3] => 100101 => 101001 => 010110
[5,2,4,7,3,1,6] => 100110 => 011001 => 100110
[5,2,4,7,3,6,1] => 100101 => 101001 => 010110
[5,2,4,7,6,1,3] => 100110 => 011001 => 100110
[5,2,4,7,6,3,1] => 100111 => 111001 => 000110
[5,2,6,1,3,4,7] => 101000 => 000101 => 111010
[5,2,6,1,3,7,4] => 101001 => 100101 => 011010
[5,2,6,1,4,3,7] => 101010 => 010101 => 101010
[5,2,6,1,4,7,3] => 101001 => 100101 => 011010
[5,2,6,1,7,3,4] => 101010 => 010101 => 101010
[5,2,6,1,7,4,3] => 101011 => 110101 => 001010
[5,2,6,3,1,4,7] => 101100 => 001101 => 110010
[5,2,6,3,1,7,4] => 101101 => 101101 => 010010
[5,2,6,3,4,1,7] => 101010 => 010101 => 101010
[5,2,6,3,4,7,1] => 101001 => 100101 => 011010
[5,2,6,3,7,1,4] => 101010 => 010101 => 101010
[5,2,6,3,7,4,1] => 101011 => 110101 => 001010
[5,2,6,4,1,3,7] => 101100 => 001101 => 110010
[5,2,6,4,1,7,3] => 101101 => 101101 => 010010
[5,2,6,4,3,1,7] => 101110 => 011101 => 100010
[5,2,6,4,3,7,1] => 101101 => 101101 => 010010
[5,2,6,4,7,1,3] => 101010 => 010101 => 101010
[5,2,6,4,7,3,1] => 101011 => 110101 => 001010
[5,2,6,7,1,3,4] => 100100 => 001001 => 110110
[5,2,6,7,1,4,3] => 100101 => 101001 => 010110
[5,2,6,7,3,1,4] => 100110 => 011001 => 100110
[5,2,6,7,3,4,1] => 100101 => 101001 => 010110
[5,2,6,7,4,1,3] => 100110 => 011001 => 100110
[5,2,6,7,4,3,1] => 100111 => 111001 => 000110
[5,2,7,1,3,4,6] => 101000 => 000101 => 111010
[5,2,7,1,3,6,4] => 101001 => 100101 => 011010
[5,2,7,1,4,3,6] => 101010 => 010101 => 101010
[5,2,7,1,4,6,3] => 101001 => 100101 => 011010
[5,2,7,1,6,3,4] => 101010 => 010101 => 101010
[5,2,7,1,6,4,3] => 101011 => 110101 => 001010
[5,2,7,3,1,4,6] => 101100 => 001101 => 110010
[5,2,7,3,1,6,4] => 101101 => 101101 => 010010
[5,2,7,3,4,1,6] => 101010 => 010101 => 101010
[5,2,7,3,4,6,1] => 101001 => 100101 => 011010
[5,2,7,3,6,1,4] => 101010 => 010101 => 101010
[5,2,7,3,6,4,1] => 101011 => 110101 => 001010
[5,2,7,4,1,3,6] => 101100 => 001101 => 110010
[5,2,7,4,1,6,3] => 101101 => 101101 => 010010
[5,2,7,4,3,1,6] => 101110 => 011101 => 100010
[5,2,7,4,3,6,1] => 101101 => 101101 => 010010
[5,2,7,4,6,1,3] => 101010 => 010101 => 101010
[5,2,7,4,6,3,1] => 101011 => 110101 => 001010
[5,2,7,6,1,3,4] => 101100 => 001101 => 110010
[5,2,7,6,1,4,3] => 101101 => 101101 => 010010
[5,2,7,6,3,1,4] => 101110 => 011101 => 100010
[5,2,7,6,3,4,1] => 101101 => 101101 => 010010
[5,2,7,6,4,1,3] => 101110 => 011101 => 100010
[5,2,7,6,4,3,1] => 101111 => 111101 => 000010
[5,3,1,2,4,6,7] => 110000 => 000011 => 111100
[5,3,1,2,4,7,6] => 110001 => 100011 => 011100
[5,3,1,2,6,4,7] => 110010 => 010011 => 101100
[5,3,1,2,6,7,4] => 110001 => 100011 => 011100
[5,3,1,2,7,4,6] => 110010 => 010011 => 101100
[5,3,1,2,7,6,4] => 110011 => 110011 => 001100
[5,3,1,4,2,6,7] => 110100 => 001011 => 110100
[5,3,1,4,2,7,6] => 110101 => 101011 => 010100
[5,3,1,4,6,2,7] => 110010 => 010011 => 101100
[5,3,1,4,6,7,2] => 110001 => 100011 => 011100
[5,3,1,4,7,2,6] => 110010 => 010011 => 101100
[5,3,1,4,7,6,2] => 110011 => 110011 => 001100
[5,3,1,6,2,4,7] => 110100 => 001011 => 110100
[5,3,1,6,2,7,4] => 110101 => 101011 => 010100
[5,3,1,6,4,2,7] => 110110 => 011011 => 100100
[5,3,1,6,4,7,2] => 110101 => 101011 => 010100
[5,3,1,6,7,2,4] => 110010 => 010011 => 101100
[5,3,1,6,7,4,2] => 110011 => 110011 => 001100
[5,3,1,7,2,4,6] => 110100 => 001011 => 110100
[5,3,1,7,2,6,4] => 110101 => 101011 => 010100
[5,3,1,7,4,2,6] => 110110 => 011011 => 100100
[5,3,1,7,4,6,2] => 110101 => 101011 => 010100
[5,3,1,7,6,2,4] => 110110 => 011011 => 100100
[5,3,1,7,6,4,2] => 110111 => 111011 => 000100
[5,3,2,1,4,6,7] => 111000 => 000111 => 111000
[5,3,2,1,4,7,6] => 111001 => 100111 => 011000
[5,3,2,1,6,4,7] => 111010 => 010111 => 101000
[5,3,2,1,6,7,4] => 111001 => 100111 => 011000
[5,3,2,1,7,4,6] => 111010 => 010111 => 101000
[5,3,2,1,7,6,4] => 111011 => 110111 => 001000
[5,3,2,4,1,6,7] => 110100 => 001011 => 110100
[5,3,2,4,1,7,6] => 110101 => 101011 => 010100
[5,3,2,4,6,1,7] => 110010 => 010011 => 101100
[5,3,2,4,6,7,1] => 110001 => 100011 => 011100
[5,3,2,4,7,1,6] => 110010 => 010011 => 101100
[5,3,2,4,7,6,1] => 110011 => 110011 => 001100
[5,3,2,6,1,4,7] => 110100 => 001011 => 110100
[5,3,2,6,1,7,4] => 110101 => 101011 => 010100
[5,3,2,6,4,1,7] => 110110 => 011011 => 100100
[5,3,2,6,4,7,1] => 110101 => 101011 => 010100
[5,3,2,6,7,1,4] => 110010 => 010011 => 101100
[5,3,2,6,7,4,1] => 110011 => 110011 => 001100
[5,3,2,7,1,4,6] => 110100 => 001011 => 110100
[5,3,2,7,1,6,4] => 110101 => 101011 => 010100
[5,3,2,7,4,1,6] => 110110 => 011011 => 100100
[5,3,2,7,4,6,1] => 110101 => 101011 => 010100
[5,3,2,7,6,1,4] => 110110 => 011011 => 100100
[5,3,2,7,6,4,1] => 110111 => 111011 => 000100
[5,3,4,1,2,6,7] => 101000 => 000101 => 111010
[5,3,4,1,2,7,6] => 101001 => 100101 => 011010
[5,3,4,1,6,2,7] => 101010 => 010101 => 101010
[5,3,4,1,6,7,2] => 101001 => 100101 => 011010
[5,3,4,1,7,2,6] => 101010 => 010101 => 101010
[5,3,4,1,7,6,2] => 101011 => 110101 => 001010
[5,3,4,2,1,6,7] => 101100 => 001101 => 110010
[5,3,4,2,1,7,6] => 101101 => 101101 => 010010
[5,3,4,2,6,1,7] => 101010 => 010101 => 101010
[5,3,4,2,6,7,1] => 101001 => 100101 => 011010
[5,3,4,2,7,1,6] => 101010 => 010101 => 101010
[5,3,4,2,7,6,1] => 101011 => 110101 => 001010
[5,3,4,6,1,2,7] => 100100 => 001001 => 110110
[5,3,4,6,1,7,2] => 100101 => 101001 => 010110
[5,3,4,6,2,1,7] => 100110 => 011001 => 100110
[5,3,4,6,2,7,1] => 100101 => 101001 => 010110
[5,3,4,6,7,1,2] => 100010 => 010001 => 101110
[5,3,4,6,7,2,1] => 100011 => 110001 => 001110
[5,3,4,7,1,2,6] => 100100 => 001001 => 110110
[5,3,4,7,1,6,2] => 100101 => 101001 => 010110
[5,3,4,7,2,1,6] => 100110 => 011001 => 100110
[5,3,4,7,2,6,1] => 100101 => 101001 => 010110
[5,3,4,7,6,1,2] => 100110 => 011001 => 100110
[5,3,4,7,6,2,1] => 100111 => 111001 => 000110
[5,3,6,1,2,4,7] => 101000 => 000101 => 111010
[5,3,6,1,2,7,4] => 101001 => 100101 => 011010
[5,3,6,1,4,2,7] => 101010 => 010101 => 101010
[5,3,6,1,4,7,2] => 101001 => 100101 => 011010
[5,3,6,1,7,2,4] => 101010 => 010101 => 101010
[5,3,6,1,7,4,2] => 101011 => 110101 => 001010
[5,3,6,2,1,4,7] => 101100 => 001101 => 110010
[5,3,6,2,1,7,4] => 101101 => 101101 => 010010
[5,3,6,2,4,1,7] => 101010 => 010101 => 101010
[5,3,6,2,4,7,1] => 101001 => 100101 => 011010
[5,3,6,2,7,1,4] => 101010 => 010101 => 101010
[5,3,6,2,7,4,1] => 101011 => 110101 => 001010
[5,3,6,4,1,2,7] => 101100 => 001101 => 110010
[5,3,6,4,1,7,2] => 101101 => 101101 => 010010
[5,3,6,4,2,1,7] => 101110 => 011101 => 100010
[5,3,6,4,2,7,1] => 101101 => 101101 => 010010
[5,3,6,4,7,1,2] => 101010 => 010101 => 101010
[5,3,6,4,7,2,1] => 101011 => 110101 => 001010
[5,3,6,7,1,2,4] => 100100 => 001001 => 110110
[5,3,6,7,1,4,2] => 100101 => 101001 => 010110
[5,3,6,7,2,1,4] => 100110 => 011001 => 100110
[5,3,6,7,2,4,1] => 100101 => 101001 => 010110
[5,3,6,7,4,1,2] => 100110 => 011001 => 100110
[5,3,6,7,4,2,1] => 100111 => 111001 => 000110
[5,3,7,1,2,4,6] => 101000 => 000101 => 111010
[5,3,7,1,2,6,4] => 101001 => 100101 => 011010
[5,3,7,1,4,2,6] => 101010 => 010101 => 101010
[5,3,7,1,4,6,2] => 101001 => 100101 => 011010
[5,3,7,1,6,2,4] => 101010 => 010101 => 101010
[5,3,7,1,6,4,2] => 101011 => 110101 => 001010
[5,3,7,2,1,4,6] => 101100 => 001101 => 110010
[5,3,7,2,1,6,4] => 101101 => 101101 => 010010
[5,3,7,2,4,1,6] => 101010 => 010101 => 101010
[5,3,7,2,4,6,1] => 101001 => 100101 => 011010
[5,3,7,2,6,1,4] => 101010 => 010101 => 101010
[5,3,7,2,6,4,1] => 101011 => 110101 => 001010
[5,3,7,4,1,2,6] => 101100 => 001101 => 110010
[5,3,7,4,1,6,2] => 101101 => 101101 => 010010
[5,3,7,4,2,1,6] => 101110 => 011101 => 100010
[5,3,7,4,2,6,1] => 101101 => 101101 => 010010
[5,3,7,4,6,1,2] => 101010 => 010101 => 101010
[5,3,7,4,6,2,1] => 101011 => 110101 => 001010
[5,3,7,6,1,2,4] => 101100 => 001101 => 110010
[5,3,7,6,1,4,2] => 101101 => 101101 => 010010
[5,3,7,6,2,1,4] => 101110 => 011101 => 100010
[5,3,7,6,2,4,1] => 101101 => 101101 => 010010
[5,3,7,6,4,1,2] => 101110 => 011101 => 100010
[5,3,7,6,4,2,1] => 101111 => 111101 => 000010
[5,4,1,2,3,6,7] => 110000 => 000011 => 111100
[5,4,1,2,3,7,6] => 110001 => 100011 => 011100
[5,4,1,2,6,3,7] => 110010 => 010011 => 101100
[5,4,1,2,6,7,3] => 110001 => 100011 => 011100
[5,4,1,2,7,3,6] => 110010 => 010011 => 101100
[5,4,1,2,7,6,3] => 110011 => 110011 => 001100
[5,4,1,3,2,6,7] => 110100 => 001011 => 110100
[5,4,1,3,2,7,6] => 110101 => 101011 => 010100
[5,4,1,3,6,2,7] => 110010 => 010011 => 101100
[5,4,1,3,6,7,2] => 110001 => 100011 => 011100
[5,4,1,3,7,2,6] => 110010 => 010011 => 101100
[5,4,1,3,7,6,2] => 110011 => 110011 => 001100
[5,4,1,6,2,3,7] => 110100 => 001011 => 110100
[5,4,1,6,2,7,3] => 110101 => 101011 => 010100
[5,4,1,6,3,2,7] => 110110 => 011011 => 100100
[5,4,1,6,3,7,2] => 110101 => 101011 => 010100
[5,4,1,6,7,2,3] => 110010 => 010011 => 101100
[5,4,1,6,7,3,2] => 110011 => 110011 => 001100
[5,4,1,7,2,3,6] => 110100 => 001011 => 110100
[5,4,1,7,2,6,3] => 110101 => 101011 => 010100
[5,4,1,7,3,2,6] => 110110 => 011011 => 100100
[5,4,1,7,3,6,2] => 110101 => 101011 => 010100
[5,4,1,7,6,2,3] => 110110 => 011011 => 100100
[5,4,1,7,6,3,2] => 110111 => 111011 => 000100
[5,4,2,1,3,6,7] => 111000 => 000111 => 111000
[5,4,2,1,3,7,6] => 111001 => 100111 => 011000
[5,4,2,1,6,3,7] => 111010 => 010111 => 101000
[5,4,2,1,6,7,3] => 111001 => 100111 => 011000
[5,4,2,1,7,3,6] => 111010 => 010111 => 101000
[5,4,2,1,7,6,3] => 111011 => 110111 => 001000
[5,4,2,3,1,6,7] => 110100 => 001011 => 110100
[5,4,2,3,1,7,6] => 110101 => 101011 => 010100
[5,4,2,3,6,1,7] => 110010 => 010011 => 101100
[5,4,2,3,6,7,1] => 110001 => 100011 => 011100
[5,4,2,3,7,1,6] => 110010 => 010011 => 101100
[5,4,2,3,7,6,1] => 110011 => 110011 => 001100
[5,4,2,6,1,3,7] => 110100 => 001011 => 110100
[5,4,2,6,1,7,3] => 110101 => 101011 => 010100
[5,4,2,6,3,1,7] => 110110 => 011011 => 100100
[5,4,2,6,3,7,1] => 110101 => 101011 => 010100
[5,4,2,6,7,1,3] => 110010 => 010011 => 101100
[5,4,2,6,7,3,1] => 110011 => 110011 => 001100
[5,4,2,7,1,3,6] => 110100 => 001011 => 110100
[5,4,2,7,1,6,3] => 110101 => 101011 => 010100
[5,4,2,7,3,1,6] => 110110 => 011011 => 100100
[5,4,2,7,3,6,1] => 110101 => 101011 => 010100
[5,4,2,7,6,1,3] => 110110 => 011011 => 100100
[5,4,2,7,6,3,1] => 110111 => 111011 => 000100
[5,4,3,1,2,6,7] => 111000 => 000111 => 111000
[5,4,3,1,2,7,6] => 111001 => 100111 => 011000
[5,4,3,1,6,2,7] => 111010 => 010111 => 101000
[5,4,3,1,6,7,2] => 111001 => 100111 => 011000
[5,4,3,1,7,2,6] => 111010 => 010111 => 101000
[5,4,3,1,7,6,2] => 111011 => 110111 => 001000
[5,4,3,2,1,6,7] => 111100 => 001111 => 110000
[5,4,3,2,1,7,6] => 111101 => 101111 => 010000
[5,4,3,2,6,1,7] => 111010 => 010111 => 101000
[5,4,3,2,6,7,1] => 111001 => 100111 => 011000
[5,4,3,2,7,1,6] => 111010 => 010111 => 101000
[5,4,3,2,7,6,1] => 111011 => 110111 => 001000
[5,4,3,6,1,2,7] => 110100 => 001011 => 110100
[5,4,3,6,1,7,2] => 110101 => 101011 => 010100
[5,4,3,6,2,1,7] => 110110 => 011011 => 100100
[5,4,3,6,2,7,1] => 110101 => 101011 => 010100
[5,4,3,6,7,1,2] => 110010 => 010011 => 101100
[5,4,3,6,7,2,1] => 110011 => 110011 => 001100
[5,4,3,7,1,2,6] => 110100 => 001011 => 110100
[5,4,3,7,1,6,2] => 110101 => 101011 => 010100
[5,4,3,7,2,1,6] => 110110 => 011011 => 100100
[5,4,3,7,2,6,1] => 110101 => 101011 => 010100
[5,4,3,7,6,1,2] => 110110 => 011011 => 100100
[5,4,3,7,6,2,1] => 110111 => 111011 => 000100
[5,4,6,1,2,3,7] => 101000 => 000101 => 111010
[5,4,6,1,2,7,3] => 101001 => 100101 => 011010
[5,4,6,1,3,2,7] => 101010 => 010101 => 101010
[5,4,6,1,3,7,2] => 101001 => 100101 => 011010
[5,4,6,1,7,2,3] => 101010 => 010101 => 101010
[5,4,6,1,7,3,2] => 101011 => 110101 => 001010
[5,4,6,2,1,3,7] => 101100 => 001101 => 110010
[5,4,6,2,1,7,3] => 101101 => 101101 => 010010
[5,4,6,2,3,1,7] => 101010 => 010101 => 101010
[5,4,6,2,3,7,1] => 101001 => 100101 => 011010
[5,4,6,2,7,1,3] => 101010 => 010101 => 101010
[5,4,6,2,7,3,1] => 101011 => 110101 => 001010
[5,4,6,3,1,2,7] => 101100 => 001101 => 110010
[5,4,6,3,1,7,2] => 101101 => 101101 => 010010
[5,4,6,3,2,1,7] => 101110 => 011101 => 100010
[5,4,6,3,2,7,1] => 101101 => 101101 => 010010
[5,4,6,3,7,1,2] => 101010 => 010101 => 101010
[5,4,6,3,7,2,1] => 101011 => 110101 => 001010
[5,4,6,7,1,2,3] => 100100 => 001001 => 110110
[5,4,6,7,1,3,2] => 100101 => 101001 => 010110
[5,4,6,7,2,1,3] => 100110 => 011001 => 100110
[5,4,6,7,2,3,1] => 100101 => 101001 => 010110
[5,4,6,7,3,1,2] => 100110 => 011001 => 100110
[5,4,6,7,3,2,1] => 100111 => 111001 => 000110
[5,4,7,1,2,3,6] => 101000 => 000101 => 111010
[5,4,7,1,2,6,3] => 101001 => 100101 => 011010
[5,4,7,1,3,2,6] => 101010 => 010101 => 101010
[5,4,7,1,3,6,2] => 101001 => 100101 => 011010
[5,4,7,1,6,2,3] => 101010 => 010101 => 101010
[5,4,7,1,6,3,2] => 101011 => 110101 => 001010
[5,4,7,2,1,3,6] => 101100 => 001101 => 110010
[5,4,7,2,1,6,3] => 101101 => 101101 => 010010
[5,4,7,2,3,1,6] => 101010 => 010101 => 101010
[5,4,7,2,3,6,1] => 101001 => 100101 => 011010
[5,4,7,2,6,1,3] => 101010 => 010101 => 101010
[5,4,7,2,6,3,1] => 101011 => 110101 => 001010
[5,4,7,3,1,2,6] => 101100 => 001101 => 110010
[5,4,7,3,1,6,2] => 101101 => 101101 => 010010
[5,4,7,3,2,1,6] => 101110 => 011101 => 100010
[5,4,7,3,2,6,1] => 101101 => 101101 => 010010
[5,4,7,3,6,1,2] => 101010 => 010101 => 101010
[5,4,7,3,6,2,1] => 101011 => 110101 => 001010
[5,4,7,6,1,2,3] => 101100 => 001101 => 110010
[5,4,7,6,1,3,2] => 101101 => 101101 => 010010
[5,4,7,6,2,1,3] => 101110 => 011101 => 100010
[5,4,7,6,2,3,1] => 101101 => 101101 => 010010
[5,4,7,6,3,1,2] => 101110 => 011101 => 100010
[5,4,7,6,3,2,1] => 101111 => 111101 => 000010
[5,6,1,2,3,4,7] => 010000 => 000010 => 111101
[5,6,1,2,3,7,4] => 010001 => 100010 => 011101
[5,6,1,2,4,3,7] => 010010 => 010010 => 101101
[5,6,1,2,4,7,3] => 010001 => 100010 => 011101
[5,6,1,2,7,3,4] => 010010 => 010010 => 101101
[5,6,1,2,7,4,3] => 010011 => 110010 => 001101
[5,6,1,3,2,4,7] => 010100 => 001010 => 110101
[5,6,1,3,2,7,4] => 010101 => 101010 => 010101
[5,6,1,3,4,2,7] => 010010 => 010010 => 101101
[5,6,1,3,4,7,2] => 010001 => 100010 => 011101
[5,6,1,3,7,2,4] => 010010 => 010010 => 101101
[5,6,1,3,7,4,2] => 010011 => 110010 => 001101
[5,6,1,4,2,3,7] => 010100 => 001010 => 110101
[5,6,1,4,2,7,3] => 010101 => 101010 => 010101
[5,6,1,4,3,2,7] => 010110 => 011010 => 100101
[5,6,1,4,3,7,2] => 010101 => 101010 => 010101
[5,6,1,4,7,2,3] => 010010 => 010010 => 101101
[5,6,1,4,7,3,2] => 010011 => 110010 => 001101
[5,6,1,7,2,3,4] => 010100 => 001010 => 110101
[5,6,1,7,2,4,3] => 010101 => 101010 => 010101
[5,6,1,7,3,2,4] => 010110 => 011010 => 100101
[5,6,1,7,3,4,2] => 010101 => 101010 => 010101
[5,6,1,7,4,2,3] => 010110 => 011010 => 100101
[5,6,1,7,4,3,2] => 010111 => 111010 => 000101
[5,6,2,1,3,4,7] => 011000 => 000110 => 111001
[5,6,2,1,3,7,4] => 011001 => 100110 => 011001
[5,6,2,1,4,3,7] => 011010 => 010110 => 101001
[5,6,2,1,4,7,3] => 011001 => 100110 => 011001
[5,6,2,1,7,3,4] => 011010 => 010110 => 101001
[5,6,2,1,7,4,3] => 011011 => 110110 => 001001
[5,6,2,3,1,4,7] => 010100 => 001010 => 110101
[5,6,2,3,1,7,4] => 010101 => 101010 => 010101
[5,6,2,3,4,1,7] => 010010 => 010010 => 101101
[5,6,2,3,4,7,1] => 010001 => 100010 => 011101
[5,6,2,3,7,1,4] => 010010 => 010010 => 101101
[5,6,2,3,7,4,1] => 010011 => 110010 => 001101
[5,6,2,4,1,3,7] => 010100 => 001010 => 110101
[5,6,2,4,1,7,3] => 010101 => 101010 => 010101
[5,6,2,4,3,1,7] => 010110 => 011010 => 100101
[5,6,2,4,3,7,1] => 010101 => 101010 => 010101
[5,6,2,4,7,1,3] => 010010 => 010010 => 101101
[5,6,2,4,7,3,1] => 010011 => 110010 => 001101
[5,6,2,7,1,3,4] => 010100 => 001010 => 110101
[5,6,2,7,1,4,3] => 010101 => 101010 => 010101
[5,6,2,7,3,1,4] => 010110 => 011010 => 100101
[5,6,2,7,3,4,1] => 010101 => 101010 => 010101
[5,6,2,7,4,1,3] => 010110 => 011010 => 100101
[5,6,2,7,4,3,1] => 010111 => 111010 => 000101
[5,6,3,1,2,4,7] => 011000 => 000110 => 111001
[5,6,3,1,2,7,4] => 011001 => 100110 => 011001
[5,6,3,1,4,2,7] => 011010 => 010110 => 101001
[5,6,3,1,4,7,2] => 011001 => 100110 => 011001
[5,6,3,1,7,2,4] => 011010 => 010110 => 101001
[5,6,3,1,7,4,2] => 011011 => 110110 => 001001
[5,6,3,2,1,4,7] => 011100 => 001110 => 110001
[5,6,3,2,1,7,4] => 011101 => 101110 => 010001
[5,6,3,2,4,1,7] => 011010 => 010110 => 101001
[5,6,3,2,4,7,1] => 011001 => 100110 => 011001
[5,6,3,2,7,1,4] => 011010 => 010110 => 101001
[5,6,3,2,7,4,1] => 011011 => 110110 => 001001
[5,6,3,4,1,2,7] => 010100 => 001010 => 110101
[5,6,3,4,1,7,2] => 010101 => 101010 => 010101
[5,6,3,4,2,1,7] => 010110 => 011010 => 100101
[5,6,3,4,2,7,1] => 010101 => 101010 => 010101
[5,6,3,4,7,1,2] => 010010 => 010010 => 101101
[5,6,3,4,7,2,1] => 010011 => 110010 => 001101
[5,6,3,7,1,2,4] => 010100 => 001010 => 110101
[5,6,3,7,1,4,2] => 010101 => 101010 => 010101
[5,6,3,7,2,1,4] => 010110 => 011010 => 100101
[5,6,3,7,2,4,1] => 010101 => 101010 => 010101
[5,6,3,7,4,1,2] => 010110 => 011010 => 100101
[5,6,3,7,4,2,1] => 010111 => 111010 => 000101
[5,6,4,1,2,3,7] => 011000 => 000110 => 111001
[5,6,4,1,2,7,3] => 011001 => 100110 => 011001
[5,6,4,1,3,2,7] => 011010 => 010110 => 101001
[5,6,4,1,3,7,2] => 011001 => 100110 => 011001
[5,6,4,1,7,2,3] => 011010 => 010110 => 101001
[5,6,4,1,7,3,2] => 011011 => 110110 => 001001
[5,6,4,2,1,3,7] => 011100 => 001110 => 110001
[5,6,4,2,1,7,3] => 011101 => 101110 => 010001
[5,6,4,2,3,1,7] => 011010 => 010110 => 101001
[5,6,4,2,3,7,1] => 011001 => 100110 => 011001
[5,6,4,2,7,1,3] => 011010 => 010110 => 101001
[5,6,4,2,7,3,1] => 011011 => 110110 => 001001
[5,6,4,3,1,2,7] => 011100 => 001110 => 110001
[5,6,4,3,1,7,2] => 011101 => 101110 => 010001
[5,6,4,3,2,1,7] => 011110 => 011110 => 100001
[5,6,4,3,2,7,1] => 011101 => 101110 => 010001
[5,6,4,3,7,1,2] => 011010 => 010110 => 101001
[5,6,4,3,7,2,1] => 011011 => 110110 => 001001
[5,6,4,7,1,2,3] => 010100 => 001010 => 110101
[5,6,4,7,1,3,2] => 010101 => 101010 => 010101
[5,6,4,7,2,1,3] => 010110 => 011010 => 100101
[5,6,4,7,2,3,1] => 010101 => 101010 => 010101
[5,6,4,7,3,1,2] => 010110 => 011010 => 100101
[5,6,4,7,3,2,1] => 010111 => 111010 => 000101
[5,6,7,1,2,3,4] => 001000 => 000100 => 111011
[5,6,7,1,2,4,3] => 001001 => 100100 => 011011
[5,6,7,1,3,2,4] => 001010 => 010100 => 101011
[5,6,7,1,3,4,2] => 001001 => 100100 => 011011
[5,6,7,1,4,2,3] => 001010 => 010100 => 101011
[5,6,7,1,4,3,2] => 001011 => 110100 => 001011
[5,6,7,2,1,3,4] => 001100 => 001100 => 110011
[5,6,7,2,1,4,3] => 001101 => 101100 => 010011
[5,6,7,2,3,1,4] => 001010 => 010100 => 101011
[5,6,7,2,3,4,1] => 001001 => 100100 => 011011
[5,6,7,2,4,1,3] => 001010 => 010100 => 101011
[5,6,7,2,4,3,1] => 001011 => 110100 => 001011
[5,6,7,3,1,2,4] => 001100 => 001100 => 110011
[5,6,7,3,1,4,2] => 001101 => 101100 => 010011
[5,6,7,3,2,1,4] => 001110 => 011100 => 100011
[5,6,7,3,2,4,1] => 001101 => 101100 => 010011
[5,6,7,3,4,1,2] => 001010 => 010100 => 101011
[5,6,7,3,4,2,1] => 001011 => 110100 => 001011
[5,6,7,4,1,2,3] => 001100 => 001100 => 110011
[5,6,7,4,1,3,2] => 001101 => 101100 => 010011
[5,6,7,4,2,1,3] => 001110 => 011100 => 100011
[5,6,7,4,2,3,1] => 001101 => 101100 => 010011
[5,6,7,4,3,1,2] => 001110 => 011100 => 100011
[5,6,7,4,3,2,1] => 001111 => 111100 => 000011
[5,7,1,2,3,4,6] => 010000 => 000010 => 111101
[5,7,1,2,3,6,4] => 010001 => 100010 => 011101
[5,7,1,2,4,3,6] => 010010 => 010010 => 101101
[5,7,1,2,4,6,3] => 010001 => 100010 => 011101
[5,7,1,2,6,3,4] => 010010 => 010010 => 101101
[5,7,1,2,6,4,3] => 010011 => 110010 => 001101
[5,7,1,3,2,4,6] => 010100 => 001010 => 110101
[5,7,1,3,2,6,4] => 010101 => 101010 => 010101
[5,7,1,3,4,2,6] => 010010 => 010010 => 101101
[5,7,1,3,4,6,2] => 010001 => 100010 => 011101
[5,7,1,3,6,2,4] => 010010 => 010010 => 101101
[5,7,1,3,6,4,2] => 010011 => 110010 => 001101
[5,7,1,4,2,3,6] => 010100 => 001010 => 110101
[5,7,1,4,2,6,3] => 010101 => 101010 => 010101
[5,7,1,4,3,2,6] => 010110 => 011010 => 100101
[5,7,1,4,3,6,2] => 010101 => 101010 => 010101
[5,7,1,4,6,2,3] => 010010 => 010010 => 101101
[5,7,1,4,6,3,2] => 010011 => 110010 => 001101
[5,7,1,6,2,3,4] => 010100 => 001010 => 110101
[5,7,1,6,2,4,3] => 010101 => 101010 => 010101
[5,7,1,6,3,2,4] => 010110 => 011010 => 100101
[5,7,1,6,3,4,2] => 010101 => 101010 => 010101
[5,7,1,6,4,2,3] => 010110 => 011010 => 100101
[5,7,1,6,4,3,2] => 010111 => 111010 => 000101
[5,7,2,1,3,4,6] => 011000 => 000110 => 111001
[5,7,2,1,3,6,4] => 011001 => 100110 => 011001
[5,7,2,1,4,3,6] => 011010 => 010110 => 101001
[5,7,2,1,4,6,3] => 011001 => 100110 => 011001
[5,7,2,1,6,3,4] => 011010 => 010110 => 101001
[5,7,2,1,6,4,3] => 011011 => 110110 => 001001
[5,7,2,3,1,4,6] => 010100 => 001010 => 110101
[5,7,2,3,1,6,4] => 010101 => 101010 => 010101
[5,7,2,3,4,1,6] => 010010 => 010010 => 101101
[5,7,2,3,4,6,1] => 010001 => 100010 => 011101
[5,7,2,3,6,1,4] => 010010 => 010010 => 101101
[5,7,2,3,6,4,1] => 010011 => 110010 => 001101
[5,7,2,4,1,3,6] => 010100 => 001010 => 110101
[5,7,2,4,1,6,3] => 010101 => 101010 => 010101
[5,7,2,4,3,1,6] => 010110 => 011010 => 100101
[5,7,2,4,3,6,1] => 010101 => 101010 => 010101
[5,7,2,4,6,1,3] => 010010 => 010010 => 101101
[5,7,2,4,6,3,1] => 010011 => 110010 => 001101
[5,7,2,6,1,3,4] => 010100 => 001010 => 110101
[5,7,2,6,1,4,3] => 010101 => 101010 => 010101
[5,7,2,6,3,1,4] => 010110 => 011010 => 100101
[5,7,2,6,3,4,1] => 010101 => 101010 => 010101
[5,7,2,6,4,1,3] => 010110 => 011010 => 100101
[5,7,2,6,4,3,1] => 010111 => 111010 => 000101
[5,7,3,1,2,4,6] => 011000 => 000110 => 111001
[5,7,3,1,2,6,4] => 011001 => 100110 => 011001
[5,7,3,1,4,2,6] => 011010 => 010110 => 101001
[5,7,3,1,4,6,2] => 011001 => 100110 => 011001
[5,7,3,1,6,2,4] => 011010 => 010110 => 101001
[5,7,3,1,6,4,2] => 011011 => 110110 => 001001
[5,7,3,2,1,4,6] => 011100 => 001110 => 110001
[5,7,3,2,1,6,4] => 011101 => 101110 => 010001
[5,7,3,2,4,1,6] => 011010 => 010110 => 101001
[5,7,3,2,4,6,1] => 011001 => 100110 => 011001
[5,7,3,2,6,1,4] => 011010 => 010110 => 101001
[5,7,3,2,6,4,1] => 011011 => 110110 => 001001
[5,7,3,4,1,2,6] => 010100 => 001010 => 110101
[5,7,3,4,1,6,2] => 010101 => 101010 => 010101
[5,7,3,4,2,1,6] => 010110 => 011010 => 100101
[5,7,3,4,2,6,1] => 010101 => 101010 => 010101
[5,7,3,4,6,1,2] => 010010 => 010010 => 101101
[5,7,3,4,6,2,1] => 010011 => 110010 => 001101
[5,7,3,6,1,2,4] => 010100 => 001010 => 110101
[5,7,3,6,1,4,2] => 010101 => 101010 => 010101
[5,7,3,6,2,1,4] => 010110 => 011010 => 100101
[5,7,3,6,2,4,1] => 010101 => 101010 => 010101
[5,7,3,6,4,1,2] => 010110 => 011010 => 100101
[5,7,3,6,4,2,1] => 010111 => 111010 => 000101
[5,7,4,1,2,3,6] => 011000 => 000110 => 111001
[5,7,4,1,2,6,3] => 011001 => 100110 => 011001
[5,7,4,1,3,2,6] => 011010 => 010110 => 101001
[5,7,4,1,3,6,2] => 011001 => 100110 => 011001
[5,7,4,1,6,2,3] => 011010 => 010110 => 101001
[5,7,4,1,6,3,2] => 011011 => 110110 => 001001
[5,7,4,2,1,3,6] => 011100 => 001110 => 110001
[5,7,4,2,1,6,3] => 011101 => 101110 => 010001
[5,7,4,2,3,1,6] => 011010 => 010110 => 101001
[5,7,4,2,3,6,1] => 011001 => 100110 => 011001
[5,7,4,2,6,1,3] => 011010 => 010110 => 101001
[5,7,4,2,6,3,1] => 011011 => 110110 => 001001
[5,7,4,3,1,2,6] => 011100 => 001110 => 110001
[5,7,4,3,1,6,2] => 011101 => 101110 => 010001
[5,7,4,3,2,1,6] => 011110 => 011110 => 100001
[5,7,4,3,2,6,1] => 011101 => 101110 => 010001
[5,7,4,3,6,1,2] => 011010 => 010110 => 101001
[5,7,4,3,6,2,1] => 011011 => 110110 => 001001
[5,7,4,6,1,2,3] => 010100 => 001010 => 110101
[5,7,4,6,1,3,2] => 010101 => 101010 => 010101
[5,7,4,6,2,1,3] => 010110 => 011010 => 100101
[5,7,4,6,2,3,1] => 010101 => 101010 => 010101
[5,7,4,6,3,1,2] => 010110 => 011010 => 100101
[5,7,4,6,3,2,1] => 010111 => 111010 => 000101
[5,7,6,1,2,3,4] => 011000 => 000110 => 111001
[5,7,6,1,2,4,3] => 011001 => 100110 => 011001
[5,7,6,1,3,2,4] => 011010 => 010110 => 101001
[5,7,6,1,3,4,2] => 011001 => 100110 => 011001
[5,7,6,1,4,2,3] => 011010 => 010110 => 101001
[5,7,6,1,4,3,2] => 011011 => 110110 => 001001
[5,7,6,2,1,3,4] => 011100 => 001110 => 110001
[5,7,6,2,1,4,3] => 011101 => 101110 => 010001
[5,7,6,2,3,1,4] => 011010 => 010110 => 101001
[5,7,6,2,3,4,1] => 011001 => 100110 => 011001
[5,7,6,2,4,1,3] => 011010 => 010110 => 101001
[5,7,6,2,4,3,1] => 011011 => 110110 => 001001
[5,7,6,3,1,2,4] => 011100 => 001110 => 110001
[5,7,6,3,1,4,2] => 011101 => 101110 => 010001
[5,7,6,3,2,1,4] => 011110 => 011110 => 100001
[5,7,6,3,2,4,1] => 011101 => 101110 => 010001
[5,7,6,3,4,1,2] => 011010 => 010110 => 101001
[5,7,6,3,4,2,1] => 011011 => 110110 => 001001
[5,7,6,4,1,2,3] => 011100 => 001110 => 110001
[5,7,6,4,1,3,2] => 011101 => 101110 => 010001
[5,7,6,4,2,1,3] => 011110 => 011110 => 100001
[5,7,6,4,2,3,1] => 011101 => 101110 => 010001
[5,7,6,4,3,1,2] => 011110 => 011110 => 100001
[5,7,6,4,3,2,1] => 011111 => 111110 => 000001
[6,1,2,3,4,5,7] => 100000 => 000001 => 111110
[6,1,2,3,4,7,5] => 100001 => 100001 => 011110
[6,1,2,3,5,4,7] => 100010 => 010001 => 101110
[6,1,2,3,5,7,4] => 100001 => 100001 => 011110
[6,1,2,3,7,4,5] => 100010 => 010001 => 101110
[6,1,2,3,7,5,4] => 100011 => 110001 => 001110
[6,1,2,4,3,5,7] => 100100 => 001001 => 110110
[6,1,2,4,3,7,5] => 100101 => 101001 => 010110
[6,1,2,4,5,3,7] => 100010 => 010001 => 101110
[6,1,2,4,5,7,3] => 100001 => 100001 => 011110
[6,1,2,4,7,3,5] => 100010 => 010001 => 101110
[6,1,2,4,7,5,3] => 100011 => 110001 => 001110
[6,1,2,5,3,4,7] => 100100 => 001001 => 110110
[6,1,2,5,3,7,4] => 100101 => 101001 => 010110
[6,1,2,5,4,3,7] => 100110 => 011001 => 100110
[6,1,2,5,4,7,3] => 100101 => 101001 => 010110
[6,1,2,5,7,3,4] => 100010 => 010001 => 101110
[6,1,2,5,7,4,3] => 100011 => 110001 => 001110
[6,1,2,7,3,4,5] => 100100 => 001001 => 110110
[6,1,2,7,3,5,4] => 100101 => 101001 => 010110
[6,1,2,7,4,3,5] => 100110 => 011001 => 100110
[6,1,2,7,4,5,3] => 100101 => 101001 => 010110
[6,1,2,7,5,3,4] => 100110 => 011001 => 100110
[6,1,2,7,5,4,3] => 100111 => 111001 => 000110
[6,1,3,2,4,5,7] => 101000 => 000101 => 111010
[6,1,3,2,4,7,5] => 101001 => 100101 => 011010
[6,1,3,2,5,4,7] => 101010 => 010101 => 101010
[6,1,3,2,5,7,4] => 101001 => 100101 => 011010
[6,1,3,2,7,4,5] => 101010 => 010101 => 101010
[6,1,3,2,7,5,4] => 101011 => 110101 => 001010
[6,1,3,4,2,5,7] => 100100 => 001001 => 110110
[6,1,3,4,2,7,5] => 100101 => 101001 => 010110
[6,1,3,4,5,2,7] => 100010 => 010001 => 101110
[6,1,3,4,5,7,2] => 100001 => 100001 => 011110
[6,1,3,4,7,2,5] => 100010 => 010001 => 101110
[6,1,3,4,7,5,2] => 100011 => 110001 => 001110
[6,1,3,5,2,4,7] => 100100 => 001001 => 110110
[6,1,3,5,2,7,4] => 100101 => 101001 => 010110
[6,1,3,5,4,2,7] => 100110 => 011001 => 100110
[6,1,3,5,4,7,2] => 100101 => 101001 => 010110
[6,1,3,5,7,2,4] => 100010 => 010001 => 101110
[6,1,3,5,7,4,2] => 100011 => 110001 => 001110
[6,1,3,7,2,4,5] => 100100 => 001001 => 110110
[6,1,3,7,2,5,4] => 100101 => 101001 => 010110
[6,1,3,7,4,2,5] => 100110 => 011001 => 100110
[6,1,3,7,4,5,2] => 100101 => 101001 => 010110
[6,1,3,7,5,2,4] => 100110 => 011001 => 100110
[6,1,3,7,5,4,2] => 100111 => 111001 => 000110
[6,1,4,2,3,5,7] => 101000 => 000101 => 111010
[6,1,4,2,3,7,5] => 101001 => 100101 => 011010
[6,1,4,2,5,3,7] => 101010 => 010101 => 101010
[6,1,4,2,5,7,3] => 101001 => 100101 => 011010
[6,1,4,2,7,3,5] => 101010 => 010101 => 101010
[6,1,4,2,7,5,3] => 101011 => 110101 => 001010
[6,1,4,3,2,5,7] => 101100 => 001101 => 110010
[6,1,4,3,2,7,5] => 101101 => 101101 => 010010
[6,1,4,3,5,2,7] => 101010 => 010101 => 101010
[6,1,4,3,5,7,2] => 101001 => 100101 => 011010
[6,1,4,3,7,2,5] => 101010 => 010101 => 101010
[6,1,4,3,7,5,2] => 101011 => 110101 => 001010
[6,1,4,5,2,3,7] => 100100 => 001001 => 110110
[6,1,4,5,2,7,3] => 100101 => 101001 => 010110
[6,1,4,5,3,2,7] => 100110 => 011001 => 100110
[6,1,4,5,3,7,2] => 100101 => 101001 => 010110
[6,1,4,5,7,2,3] => 100010 => 010001 => 101110
[6,1,4,5,7,3,2] => 100011 => 110001 => 001110
[6,1,4,7,2,3,5] => 100100 => 001001 => 110110
[6,1,4,7,2,5,3] => 100101 => 101001 => 010110
[6,1,4,7,3,2,5] => 100110 => 011001 => 100110
[6,1,4,7,3,5,2] => 100101 => 101001 => 010110
[6,1,4,7,5,2,3] => 100110 => 011001 => 100110
[6,1,4,7,5,3,2] => 100111 => 111001 => 000110
[6,1,5,2,3,4,7] => 101000 => 000101 => 111010
[6,1,5,2,3,7,4] => 101001 => 100101 => 011010
[6,1,5,2,4,3,7] => 101010 => 010101 => 101010
[6,1,5,2,4,7,3] => 101001 => 100101 => 011010
[6,1,5,2,7,3,4] => 101010 => 010101 => 101010
[6,1,5,2,7,4,3] => 101011 => 110101 => 001010
[6,1,5,3,2,4,7] => 101100 => 001101 => 110010
[6,1,5,3,2,7,4] => 101101 => 101101 => 010010
[6,1,5,3,4,2,7] => 101010 => 010101 => 101010
[6,1,5,3,4,7,2] => 101001 => 100101 => 011010
[6,1,5,3,7,2,4] => 101010 => 010101 => 101010
[6,1,5,3,7,4,2] => 101011 => 110101 => 001010
[6,1,5,4,2,3,7] => 101100 => 001101 => 110010
[6,1,5,4,2,7,3] => 101101 => 101101 => 010010
[6,1,5,4,3,2,7] => 101110 => 011101 => 100010
[6,1,5,4,3,7,2] => 101101 => 101101 => 010010
[6,1,5,4,7,2,3] => 101010 => 010101 => 101010
[6,1,5,4,7,3,2] => 101011 => 110101 => 001010
[6,1,5,7,2,3,4] => 100100 => 001001 => 110110
[6,1,5,7,2,4,3] => 100101 => 101001 => 010110
[6,1,5,7,3,2,4] => 100110 => 011001 => 100110
[6,1,5,7,3,4,2] => 100101 => 101001 => 010110
[6,1,5,7,4,2,3] => 100110 => 011001 => 100110
[6,1,5,7,4,3,2] => 100111 => 111001 => 000110
[6,1,7,2,3,4,5] => 101000 => 000101 => 111010
[6,1,7,2,3,5,4] => 101001 => 100101 => 011010
[6,1,7,2,4,3,5] => 101010 => 010101 => 101010
[6,1,7,2,4,5,3] => 101001 => 100101 => 011010
[6,1,7,2,5,3,4] => 101010 => 010101 => 101010
[6,1,7,2,5,4,3] => 101011 => 110101 => 001010
[6,1,7,3,2,4,5] => 101100 => 001101 => 110010
[6,1,7,3,2,5,4] => 101101 => 101101 => 010010
[6,1,7,3,4,2,5] => 101010 => 010101 => 101010
[6,1,7,3,4,5,2] => 101001 => 100101 => 011010
[6,1,7,3,5,2,4] => 101010 => 010101 => 101010
[6,1,7,3,5,4,2] => 101011 => 110101 => 001010
[6,1,7,4,2,3,5] => 101100 => 001101 => 110010
[6,1,7,4,2,5,3] => 101101 => 101101 => 010010
[6,1,7,4,3,2,5] => 101110 => 011101 => 100010
[6,1,7,4,3,5,2] => 101101 => 101101 => 010010
[6,1,7,4,5,2,3] => 101010 => 010101 => 101010
[6,1,7,4,5,3,2] => 101011 => 110101 => 001010
[6,1,7,5,2,3,4] => 101100 => 001101 => 110010
[6,1,7,5,2,4,3] => 101101 => 101101 => 010010
[6,1,7,5,3,2,4] => 101110 => 011101 => 100010
[6,1,7,5,3,4,2] => 101101 => 101101 => 010010
[6,1,7,5,4,2,3] => 101110 => 011101 => 100010
[6,1,7,5,4,3,2] => 101111 => 111101 => 000010
[6,2,1,3,4,5,7] => 110000 => 000011 => 111100
[6,2,1,3,4,7,5] => 110001 => 100011 => 011100
[6,2,1,3,5,4,7] => 110010 => 010011 => 101100
[6,2,1,3,5,7,4] => 110001 => 100011 => 011100
[6,2,1,3,7,4,5] => 110010 => 010011 => 101100
[6,2,1,3,7,5,4] => 110011 => 110011 => 001100
[6,2,1,4,3,5,7] => 110100 => 001011 => 110100
[6,2,1,4,3,7,5] => 110101 => 101011 => 010100
[6,2,1,4,5,3,7] => 110010 => 010011 => 101100
[6,2,1,4,5,7,3] => 110001 => 100011 => 011100
[6,2,1,4,7,3,5] => 110010 => 010011 => 101100
[6,2,1,4,7,5,3] => 110011 => 110011 => 001100
[6,2,1,5,3,4,7] => 110100 => 001011 => 110100
[6,2,1,5,3,7,4] => 110101 => 101011 => 010100
[6,2,1,5,4,3,7] => 110110 => 011011 => 100100
[6,2,1,5,4,7,3] => 110101 => 101011 => 010100
[6,2,1,5,7,3,4] => 110010 => 010011 => 101100
[6,2,1,5,7,4,3] => 110011 => 110011 => 001100
[6,2,1,7,3,4,5] => 110100 => 001011 => 110100
[6,2,1,7,3,5,4] => 110101 => 101011 => 010100
[6,2,1,7,4,3,5] => 110110 => 011011 => 100100
[6,2,1,7,4,5,3] => 110101 => 101011 => 010100
[6,2,1,7,5,3,4] => 110110 => 011011 => 100100
[6,2,1,7,5,4,3] => 110111 => 111011 => 000100
[6,2,3,1,4,5,7] => 101000 => 000101 => 111010
[6,2,3,1,4,7,5] => 101001 => 100101 => 011010
[6,2,3,1,5,4,7] => 101010 => 010101 => 101010
[6,2,3,1,5,7,4] => 101001 => 100101 => 011010
[6,2,3,1,7,4,5] => 101010 => 010101 => 101010
[6,2,3,1,7,5,4] => 101011 => 110101 => 001010
[6,2,3,4,1,5,7] => 100100 => 001001 => 110110
[6,2,3,4,1,7,5] => 100101 => 101001 => 010110
[6,2,3,4,5,1,7] => 100010 => 010001 => 101110
[6,2,3,4,5,7,1] => 100001 => 100001 => 011110
[6,2,3,4,7,1,5] => 100010 => 010001 => 101110
[6,2,3,4,7,5,1] => 100011 => 110001 => 001110
[6,2,3,5,1,4,7] => 100100 => 001001 => 110110
[6,2,3,5,1,7,4] => 100101 => 101001 => 010110
[6,2,3,5,4,1,7] => 100110 => 011001 => 100110
[6,2,3,5,4,7,1] => 100101 => 101001 => 010110
[6,2,3,5,7,1,4] => 100010 => 010001 => 101110
[6,2,3,5,7,4,1] => 100011 => 110001 => 001110
[6,2,3,7,1,4,5] => 100100 => 001001 => 110110
[6,2,3,7,1,5,4] => 100101 => 101001 => 010110
[6,2,3,7,4,1,5] => 100110 => 011001 => 100110
[6,2,3,7,4,5,1] => 100101 => 101001 => 010110
[6,2,3,7,5,1,4] => 100110 => 011001 => 100110
[6,2,3,7,5,4,1] => 100111 => 111001 => 000110
[6,2,4,1,3,5,7] => 101000 => 000101 => 111010
[6,2,4,1,3,7,5] => 101001 => 100101 => 011010
[6,2,4,1,5,3,7] => 101010 => 010101 => 101010
[6,2,4,1,5,7,3] => 101001 => 100101 => 011010
[6,2,4,1,7,3,5] => 101010 => 010101 => 101010
[6,2,4,1,7,5,3] => 101011 => 110101 => 001010
[6,2,4,3,1,5,7] => 101100 => 001101 => 110010
[6,2,4,3,1,7,5] => 101101 => 101101 => 010010
[6,2,4,3,5,1,7] => 101010 => 010101 => 101010
[6,2,4,3,5,7,1] => 101001 => 100101 => 011010
[6,2,4,3,7,1,5] => 101010 => 010101 => 101010
[6,2,4,3,7,5,1] => 101011 => 110101 => 001010
[6,2,4,5,1,3,7] => 100100 => 001001 => 110110
[6,2,4,5,1,7,3] => 100101 => 101001 => 010110
[6,2,4,5,3,1,7] => 100110 => 011001 => 100110
[6,2,4,5,3,7,1] => 100101 => 101001 => 010110
[6,2,4,5,7,1,3] => 100010 => 010001 => 101110
[6,2,4,5,7,3,1] => 100011 => 110001 => 001110
[6,2,4,7,1,3,5] => 100100 => 001001 => 110110
[6,2,4,7,1,5,3] => 100101 => 101001 => 010110
[6,2,4,7,3,1,5] => 100110 => 011001 => 100110
[6,2,4,7,3,5,1] => 100101 => 101001 => 010110
[6,2,4,7,5,1,3] => 100110 => 011001 => 100110
[6,2,4,7,5,3,1] => 100111 => 111001 => 000110
[6,2,5,1,3,4,7] => 101000 => 000101 => 111010
[6,2,5,1,3,7,4] => 101001 => 100101 => 011010
[6,2,5,1,4,3,7] => 101010 => 010101 => 101010
[6,2,5,1,4,7,3] => 101001 => 100101 => 011010
[6,2,5,1,7,3,4] => 101010 => 010101 => 101010
[6,2,5,1,7,4,3] => 101011 => 110101 => 001010
[6,2,5,3,1,4,7] => 101100 => 001101 => 110010
[6,2,5,3,1,7,4] => 101101 => 101101 => 010010
[6,2,5,3,4,1,7] => 101010 => 010101 => 101010
[6,2,5,3,4,7,1] => 101001 => 100101 => 011010
[6,2,5,3,7,1,4] => 101010 => 010101 => 101010
[6,2,5,3,7,4,1] => 101011 => 110101 => 001010
[6,2,5,4,1,3,7] => 101100 => 001101 => 110010
[6,2,5,4,1,7,3] => 101101 => 101101 => 010010
[6,2,5,4,3,1,7] => 101110 => 011101 => 100010
[6,2,5,4,3,7,1] => 101101 => 101101 => 010010
[6,2,5,4,7,1,3] => 101010 => 010101 => 101010
[6,2,5,4,7,3,1] => 101011 => 110101 => 001010
[6,2,5,7,1,3,4] => 100100 => 001001 => 110110
[6,2,5,7,1,4,3] => 100101 => 101001 => 010110
[6,2,5,7,3,1,4] => 100110 => 011001 => 100110
[6,2,5,7,3,4,1] => 100101 => 101001 => 010110
[6,2,5,7,4,1,3] => 100110 => 011001 => 100110
[6,2,5,7,4,3,1] => 100111 => 111001 => 000110
[6,2,7,1,3,4,5] => 101000 => 000101 => 111010
[6,2,7,1,3,5,4] => 101001 => 100101 => 011010
[6,2,7,1,4,3,5] => 101010 => 010101 => 101010
[6,2,7,1,4,5,3] => 101001 => 100101 => 011010
[6,2,7,1,5,3,4] => 101010 => 010101 => 101010
[6,2,7,1,5,4,3] => 101011 => 110101 => 001010
[6,2,7,3,1,4,5] => 101100 => 001101 => 110010
[6,2,7,3,1,5,4] => 101101 => 101101 => 010010
[6,2,7,3,4,1,5] => 101010 => 010101 => 101010
[6,2,7,3,4,5,1] => 101001 => 100101 => 011010
[6,2,7,3,5,1,4] => 101010 => 010101 => 101010
[6,2,7,3,5,4,1] => 101011 => 110101 => 001010
[6,2,7,4,1,3,5] => 101100 => 001101 => 110010
[6,2,7,4,1,5,3] => 101101 => 101101 => 010010
[6,2,7,4,3,1,5] => 101110 => 011101 => 100010
[6,2,7,4,3,5,1] => 101101 => 101101 => 010010
[6,2,7,4,5,1,3] => 101010 => 010101 => 101010
[6,2,7,4,5,3,1] => 101011 => 110101 => 001010
[6,2,7,5,1,3,4] => 101100 => 001101 => 110010
[6,2,7,5,1,4,3] => 101101 => 101101 => 010010
[6,2,7,5,3,1,4] => 101110 => 011101 => 100010
[6,2,7,5,3,4,1] => 101101 => 101101 => 010010
[6,2,7,5,4,1,3] => 101110 => 011101 => 100010
[6,2,7,5,4,3,1] => 101111 => 111101 => 000010
[6,3,1,2,4,5,7] => 110000 => 000011 => 111100
[6,3,1,2,4,7,5] => 110001 => 100011 => 011100
[6,3,1,2,5,4,7] => 110010 => 010011 => 101100
[6,3,1,2,5,7,4] => 110001 => 100011 => 011100
[6,3,1,2,7,4,5] => 110010 => 010011 => 101100
[6,3,1,2,7,5,4] => 110011 => 110011 => 001100
[6,3,1,4,2,5,7] => 110100 => 001011 => 110100
[6,3,1,4,2,7,5] => 110101 => 101011 => 010100
[6,3,1,4,5,2,7] => 110010 => 010011 => 101100
[6,3,1,4,5,7,2] => 110001 => 100011 => 011100
[6,3,1,4,7,2,5] => 110010 => 010011 => 101100
[6,3,1,4,7,5,2] => 110011 => 110011 => 001100
[6,3,1,5,2,4,7] => 110100 => 001011 => 110100
[6,3,1,5,2,7,4] => 110101 => 101011 => 010100
[6,3,1,5,4,2,7] => 110110 => 011011 => 100100
[6,3,1,5,4,7,2] => 110101 => 101011 => 010100
[6,3,1,5,7,2,4] => 110010 => 010011 => 101100
[6,3,1,5,7,4,2] => 110011 => 110011 => 001100
[6,3,1,7,2,4,5] => 110100 => 001011 => 110100
[6,3,1,7,2,5,4] => 110101 => 101011 => 010100
[6,3,1,7,4,2,5] => 110110 => 011011 => 100100
[6,3,1,7,4,5,2] => 110101 => 101011 => 010100
[6,3,1,7,5,2,4] => 110110 => 011011 => 100100
[6,3,1,7,5,4,2] => 110111 => 111011 => 000100
[6,3,2,1,4,5,7] => 111000 => 000111 => 111000
[6,3,2,1,4,7,5] => 111001 => 100111 => 011000
[6,3,2,1,5,4,7] => 111010 => 010111 => 101000
[6,3,2,1,5,7,4] => 111001 => 100111 => 011000
[6,3,2,1,7,4,5] => 111010 => 010111 => 101000
[6,3,2,1,7,5,4] => 111011 => 110111 => 001000
[6,3,2,4,1,5,7] => 110100 => 001011 => 110100
[6,3,2,4,1,7,5] => 110101 => 101011 => 010100
[6,3,2,4,5,1,7] => 110010 => 010011 => 101100
[6,3,2,4,5,7,1] => 110001 => 100011 => 011100
[6,3,2,4,7,1,5] => 110010 => 010011 => 101100
[6,3,2,4,7,5,1] => 110011 => 110011 => 001100
[6,3,2,5,1,4,7] => 110100 => 001011 => 110100
[6,3,2,5,1,7,4] => 110101 => 101011 => 010100
[6,3,2,5,4,1,7] => 110110 => 011011 => 100100
[6,3,2,5,4,7,1] => 110101 => 101011 => 010100
[6,3,2,5,7,1,4] => 110010 => 010011 => 101100
[6,3,2,5,7,4,1] => 110011 => 110011 => 001100
[6,3,2,7,1,4,5] => 110100 => 001011 => 110100
[6,3,2,7,1,5,4] => 110101 => 101011 => 010100
[6,3,2,7,4,1,5] => 110110 => 011011 => 100100
[6,3,2,7,4,5,1] => 110101 => 101011 => 010100
[6,3,2,7,5,1,4] => 110110 => 011011 => 100100
[6,3,2,7,5,4,1] => 110111 => 111011 => 000100
[6,3,4,1,2,5,7] => 101000 => 000101 => 111010
[6,3,4,1,2,7,5] => 101001 => 100101 => 011010
[6,3,4,1,5,2,7] => 101010 => 010101 => 101010
[6,3,4,1,5,7,2] => 101001 => 100101 => 011010
[6,3,4,1,7,2,5] => 101010 => 010101 => 101010
[6,3,4,1,7,5,2] => 101011 => 110101 => 001010
[6,3,4,2,1,5,7] => 101100 => 001101 => 110010
[6,3,4,2,1,7,5] => 101101 => 101101 => 010010
[6,3,4,2,5,1,7] => 101010 => 010101 => 101010
[6,3,4,2,5,7,1] => 101001 => 100101 => 011010
[6,3,4,2,7,1,5] => 101010 => 010101 => 101010
[6,3,4,2,7,5,1] => 101011 => 110101 => 001010
[6,3,4,5,1,2,7] => 100100 => 001001 => 110110
[6,3,4,5,1,7,2] => 100101 => 101001 => 010110
[6,3,4,5,2,1,7] => 100110 => 011001 => 100110
[6,3,4,5,2,7,1] => 100101 => 101001 => 010110
[6,3,4,5,7,1,2] => 100010 => 010001 => 101110
[6,3,4,5,7,2,1] => 100011 => 110001 => 001110
[6,3,4,7,1,2,5] => 100100 => 001001 => 110110
[6,3,4,7,1,5,2] => 100101 => 101001 => 010110
[6,3,4,7,2,1,5] => 100110 => 011001 => 100110
[6,3,4,7,2,5,1] => 100101 => 101001 => 010110
[6,3,4,7,5,1,2] => 100110 => 011001 => 100110
[6,3,4,7,5,2,1] => 100111 => 111001 => 000110
[6,3,5,1,2,4,7] => 101000 => 000101 => 111010
[6,3,5,1,2,7,4] => 101001 => 100101 => 011010
[6,3,5,1,4,2,7] => 101010 => 010101 => 101010
[6,3,5,1,4,7,2] => 101001 => 100101 => 011010
[6,3,5,1,7,2,4] => 101010 => 010101 => 101010
[6,3,5,1,7,4,2] => 101011 => 110101 => 001010
[6,3,5,2,1,4,7] => 101100 => 001101 => 110010
[6,3,5,2,1,7,4] => 101101 => 101101 => 010010
[6,3,5,2,4,1,7] => 101010 => 010101 => 101010
[6,3,5,2,4,7,1] => 101001 => 100101 => 011010
[6,3,5,2,7,1,4] => 101010 => 010101 => 101010
[6,3,5,2,7,4,1] => 101011 => 110101 => 001010
[6,3,5,4,1,2,7] => 101100 => 001101 => 110010
[6,3,5,4,1,7,2] => 101101 => 101101 => 010010
[6,3,5,4,2,1,7] => 101110 => 011101 => 100010
[6,3,5,4,2,7,1] => 101101 => 101101 => 010010
[6,3,5,4,7,1,2] => 101010 => 010101 => 101010
[6,3,5,4,7,2,1] => 101011 => 110101 => 001010
[6,3,5,7,1,2,4] => 100100 => 001001 => 110110
[6,3,5,7,1,4,2] => 100101 => 101001 => 010110
[6,3,5,7,2,1,4] => 100110 => 011001 => 100110
[6,3,5,7,2,4,1] => 100101 => 101001 => 010110
[6,3,5,7,4,1,2] => 100110 => 011001 => 100110
[6,3,5,7,4,2,1] => 100111 => 111001 => 000110
[6,3,7,1,2,4,5] => 101000 => 000101 => 111010
[6,3,7,1,2,5,4] => 101001 => 100101 => 011010
[6,3,7,1,4,2,5] => 101010 => 010101 => 101010
[6,3,7,1,4,5,2] => 101001 => 100101 => 011010
[6,3,7,1,5,2,4] => 101010 => 010101 => 101010
[6,3,7,1,5,4,2] => 101011 => 110101 => 001010
[6,3,7,2,1,4,5] => 101100 => 001101 => 110010
[6,3,7,2,1,5,4] => 101101 => 101101 => 010010
[6,3,7,2,4,1,5] => 101010 => 010101 => 101010
[6,3,7,2,4,5,1] => 101001 => 100101 => 011010
[6,3,7,2,5,1,4] => 101010 => 010101 => 101010
[6,3,7,2,5,4,1] => 101011 => 110101 => 001010
[6,3,7,4,1,2,5] => 101100 => 001101 => 110010
[6,3,7,4,1,5,2] => 101101 => 101101 => 010010
[6,3,7,4,2,1,5] => 101110 => 011101 => 100010
[6,3,7,4,2,5,1] => 101101 => 101101 => 010010
[6,3,7,4,5,1,2] => 101010 => 010101 => 101010
[6,3,7,4,5,2,1] => 101011 => 110101 => 001010
[6,3,7,5,1,2,4] => 101100 => 001101 => 110010
[6,3,7,5,1,4,2] => 101101 => 101101 => 010010
[6,3,7,5,2,1,4] => 101110 => 011101 => 100010
[6,3,7,5,2,4,1] => 101101 => 101101 => 010010
[6,3,7,5,4,1,2] => 101110 => 011101 => 100010
[6,3,7,5,4,2,1] => 101111 => 111101 => 000010
[6,4,1,2,3,5,7] => 110000 => 000011 => 111100
[6,4,1,2,3,7,5] => 110001 => 100011 => 011100
[6,4,1,2,5,3,7] => 110010 => 010011 => 101100
[6,4,1,2,5,7,3] => 110001 => 100011 => 011100
[6,4,1,2,7,3,5] => 110010 => 010011 => 101100
[6,4,1,2,7,5,3] => 110011 => 110011 => 001100
[6,4,1,3,2,5,7] => 110100 => 001011 => 110100
[6,4,1,3,2,7,5] => 110101 => 101011 => 010100
[6,4,1,3,5,2,7] => 110010 => 010011 => 101100
[6,4,1,3,5,7,2] => 110001 => 100011 => 011100
[6,4,1,3,7,2,5] => 110010 => 010011 => 101100
[6,4,1,3,7,5,2] => 110011 => 110011 => 001100
[6,4,1,5,2,3,7] => 110100 => 001011 => 110100
[6,4,1,5,2,7,3] => 110101 => 101011 => 010100
[6,4,1,5,3,2,7] => 110110 => 011011 => 100100
[6,4,1,5,3,7,2] => 110101 => 101011 => 010100
[6,4,1,5,7,2,3] => 110010 => 010011 => 101100
[6,4,1,5,7,3,2] => 110011 => 110011 => 001100
[6,4,1,7,2,3,5] => 110100 => 001011 => 110100
[6,4,1,7,2,5,3] => 110101 => 101011 => 010100
[6,4,1,7,3,2,5] => 110110 => 011011 => 100100
[6,4,1,7,3,5,2] => 110101 => 101011 => 010100
[6,4,1,7,5,2,3] => 110110 => 011011 => 100100
[6,4,1,7,5,3,2] => 110111 => 111011 => 000100
[6,4,2,1,3,5,7] => 111000 => 000111 => 111000
[6,4,2,1,3,7,5] => 111001 => 100111 => 011000
[6,4,2,1,5,3,7] => 111010 => 010111 => 101000
[6,4,2,1,5,7,3] => 111001 => 100111 => 011000
[6,4,2,1,7,3,5] => 111010 => 010111 => 101000
[6,4,2,1,7,5,3] => 111011 => 110111 => 001000
[6,4,2,3,1,5,7] => 110100 => 001011 => 110100
[6,4,2,3,1,7,5] => 110101 => 101011 => 010100
[6,4,2,3,5,1,7] => 110010 => 010011 => 101100
[6,4,2,3,5,7,1] => 110001 => 100011 => 011100
[6,4,2,3,7,1,5] => 110010 => 010011 => 101100
[6,4,2,3,7,5,1] => 110011 => 110011 => 001100
[6,4,2,5,1,3,7] => 110100 => 001011 => 110100
[6,4,2,5,1,7,3] => 110101 => 101011 => 010100
[6,4,2,5,3,1,7] => 110110 => 011011 => 100100
[6,4,2,5,3,7,1] => 110101 => 101011 => 010100
[6,4,2,5,7,1,3] => 110010 => 010011 => 101100
[6,4,2,5,7,3,1] => 110011 => 110011 => 001100
[6,4,2,7,1,3,5] => 110100 => 001011 => 110100
[6,4,2,7,1,5,3] => 110101 => 101011 => 010100
[6,4,2,7,3,1,5] => 110110 => 011011 => 100100
[6,4,2,7,3,5,1] => 110101 => 101011 => 010100
[6,4,2,7,5,1,3] => 110110 => 011011 => 100100
[6,4,2,7,5,3,1] => 110111 => 111011 => 000100
[6,4,3,1,2,5,7] => 111000 => 000111 => 111000
[6,4,3,1,2,7,5] => 111001 => 100111 => 011000
[6,4,3,1,5,2,7] => 111010 => 010111 => 101000
[6,4,3,1,5,7,2] => 111001 => 100111 => 011000
[6,4,3,1,7,2,5] => 111010 => 010111 => 101000
[6,4,3,1,7,5,2] => 111011 => 110111 => 001000
[6,4,3,2,1,5,7] => 111100 => 001111 => 110000
[6,4,3,2,1,7,5] => 111101 => 101111 => 010000
[6,4,3,2,5,1,7] => 111010 => 010111 => 101000
[6,4,3,2,5,7,1] => 111001 => 100111 => 011000
[6,4,3,2,7,1,5] => 111010 => 010111 => 101000
[6,4,3,2,7,5,1] => 111011 => 110111 => 001000
[6,4,3,5,1,2,7] => 110100 => 001011 => 110100
[6,4,3,5,1,7,2] => 110101 => 101011 => 010100
[6,4,3,5,2,1,7] => 110110 => 011011 => 100100
[6,4,3,5,2,7,1] => 110101 => 101011 => 010100
[6,4,3,5,7,1,2] => 110010 => 010011 => 101100
[6,4,3,5,7,2,1] => 110011 => 110011 => 001100
[6,4,3,7,1,2,5] => 110100 => 001011 => 110100
[6,4,3,7,1,5,2] => 110101 => 101011 => 010100
[6,4,3,7,2,1,5] => 110110 => 011011 => 100100
[6,4,3,7,2,5,1] => 110101 => 101011 => 010100
[6,4,3,7,5,1,2] => 110110 => 011011 => 100100
[6,4,3,7,5,2,1] => 110111 => 111011 => 000100
[6,4,5,1,2,3,7] => 101000 => 000101 => 111010
[6,4,5,1,2,7,3] => 101001 => 100101 => 011010
[6,4,5,1,3,2,7] => 101010 => 010101 => 101010
[6,4,5,1,3,7,2] => 101001 => 100101 => 011010
[6,4,5,1,7,2,3] => 101010 => 010101 => 101010
[6,4,5,1,7,3,2] => 101011 => 110101 => 001010
[6,4,5,2,1,3,7] => 101100 => 001101 => 110010
[6,4,5,2,1,7,3] => 101101 => 101101 => 010010
[6,4,5,2,3,1,7] => 101010 => 010101 => 101010
[6,4,5,2,3,7,1] => 101001 => 100101 => 011010
[6,4,5,2,7,1,3] => 101010 => 010101 => 101010
[6,4,5,2,7,3,1] => 101011 => 110101 => 001010
[6,4,5,3,1,2,7] => 101100 => 001101 => 110010
[6,4,5,3,1,7,2] => 101101 => 101101 => 010010
[6,4,5,3,2,1,7] => 101110 => 011101 => 100010
[6,4,5,3,2,7,1] => 101101 => 101101 => 010010
[6,4,5,3,7,1,2] => 101010 => 010101 => 101010
[6,4,5,3,7,2,1] => 101011 => 110101 => 001010
[6,4,5,7,1,2,3] => 100100 => 001001 => 110110
[6,4,5,7,1,3,2] => 100101 => 101001 => 010110
[6,4,5,7,2,1,3] => 100110 => 011001 => 100110
[6,4,5,7,2,3,1] => 100101 => 101001 => 010110
[6,4,5,7,3,1,2] => 100110 => 011001 => 100110
[6,4,5,7,3,2,1] => 100111 => 111001 => 000110
[6,4,7,1,2,3,5] => 101000 => 000101 => 111010
[6,4,7,1,2,5,3] => 101001 => 100101 => 011010
[6,4,7,1,3,2,5] => 101010 => 010101 => 101010
[6,4,7,1,3,5,2] => 101001 => 100101 => 011010
[6,4,7,1,5,2,3] => 101010 => 010101 => 101010
[6,4,7,1,5,3,2] => 101011 => 110101 => 001010
[6,4,7,2,1,3,5] => 101100 => 001101 => 110010
[6,4,7,2,1,5,3] => 101101 => 101101 => 010010
[6,4,7,2,3,1,5] => 101010 => 010101 => 101010
[6,4,7,2,3,5,1] => 101001 => 100101 => 011010
[6,4,7,2,5,1,3] => 101010 => 010101 => 101010
[6,4,7,2,5,3,1] => 101011 => 110101 => 001010
[6,4,7,3,1,2,5] => 101100 => 001101 => 110010
[6,4,7,3,1,5,2] => 101101 => 101101 => 010010
[6,4,7,3,2,1,5] => 101110 => 011101 => 100010
[6,4,7,3,2,5,1] => 101101 => 101101 => 010010
[6,4,7,3,5,1,2] => 101010 => 010101 => 101010
[6,4,7,3,5,2,1] => 101011 => 110101 => 001010
[6,4,7,5,1,2,3] => 101100 => 001101 => 110010
[6,4,7,5,1,3,2] => 101101 => 101101 => 010010
[6,4,7,5,2,1,3] => 101110 => 011101 => 100010
[6,4,7,5,2,3,1] => 101101 => 101101 => 010010
[6,4,7,5,3,1,2] => 101110 => 011101 => 100010
[6,4,7,5,3,2,1] => 101111 => 111101 => 000010
[6,5,1,2,3,4,7] => 110000 => 000011 => 111100
[6,5,1,2,3,7,4] => 110001 => 100011 => 011100
[6,5,1,2,4,3,7] => 110010 => 010011 => 101100
[6,5,1,2,4,7,3] => 110001 => 100011 => 011100
[6,5,1,2,7,3,4] => 110010 => 010011 => 101100
[6,5,1,2,7,4,3] => 110011 => 110011 => 001100
[6,5,1,3,2,4,7] => 110100 => 001011 => 110100
[6,5,1,3,2,7,4] => 110101 => 101011 => 010100
[6,5,1,3,4,2,7] => 110010 => 010011 => 101100
[6,5,1,3,4,7,2] => 110001 => 100011 => 011100
[6,5,1,3,7,2,4] => 110010 => 010011 => 101100
[6,5,1,3,7,4,2] => 110011 => 110011 => 001100
[6,5,1,4,2,3,7] => 110100 => 001011 => 110100
[6,5,1,4,2,7,3] => 110101 => 101011 => 010100
[6,5,1,4,3,2,7] => 110110 => 011011 => 100100
[6,5,1,4,3,7,2] => 110101 => 101011 => 010100
[6,5,1,4,7,2,3] => 110010 => 010011 => 101100
[6,5,1,4,7,3,2] => 110011 => 110011 => 001100
[6,5,1,7,2,3,4] => 110100 => 001011 => 110100
[6,5,1,7,2,4,3] => 110101 => 101011 => 010100
[6,5,1,7,3,2,4] => 110110 => 011011 => 100100
[6,5,1,7,3,4,2] => 110101 => 101011 => 010100
[6,5,1,7,4,2,3] => 110110 => 011011 => 100100
[6,5,1,7,4,3,2] => 110111 => 111011 => 000100
[6,5,2,1,3,4,7] => 111000 => 000111 => 111000
[6,5,2,1,3,7,4] => 111001 => 100111 => 011000
[6,5,2,1,4,3,7] => 111010 => 010111 => 101000
[6,5,2,1,4,7,3] => 111001 => 100111 => 011000
[6,5,2,1,7,3,4] => 111010 => 010111 => 101000
[6,5,2,1,7,4,3] => 111011 => 110111 => 001000
[6,5,2,3,1,4,7] => 110100 => 001011 => 110100
[6,5,2,3,1,7,4] => 110101 => 101011 => 010100
[6,5,2,3,4,1,7] => 110010 => 010011 => 101100
[6,5,2,3,4,7,1] => 110001 => 100011 => 011100
[6,5,2,3,7,1,4] => 110010 => 010011 => 101100
[6,5,2,3,7,4,1] => 110011 => 110011 => 001100
[6,5,2,4,1,3,7] => 110100 => 001011 => 110100
[6,5,2,4,1,7,3] => 110101 => 101011 => 010100
[6,5,2,4,3,1,7] => 110110 => 011011 => 100100
[6,5,2,4,3,7,1] => 110101 => 101011 => 010100
[6,5,2,4,7,1,3] => 110010 => 010011 => 101100
[6,5,2,4,7,3,1] => 110011 => 110011 => 001100
[6,5,2,7,1,3,4] => 110100 => 001011 => 110100
[6,5,2,7,1,4,3] => 110101 => 101011 => 010100
[6,5,2,7,3,1,4] => 110110 => 011011 => 100100
[6,5,2,7,3,4,1] => 110101 => 101011 => 010100
[6,5,2,7,4,1,3] => 110110 => 011011 => 100100
[6,5,2,7,4,3,1] => 110111 => 111011 => 000100
[6,5,3,1,2,4,7] => 111000 => 000111 => 111000
[6,5,3,1,2,7,4] => 111001 => 100111 => 011000
[6,5,3,1,4,2,7] => 111010 => 010111 => 101000
[6,5,3,1,4,7,2] => 111001 => 100111 => 011000
[6,5,3,1,7,2,4] => 111010 => 010111 => 101000
[6,5,3,1,7,4,2] => 111011 => 110111 => 001000
[6,5,3,2,1,4,7] => 111100 => 001111 => 110000
[6,5,3,2,1,7,4] => 111101 => 101111 => 010000
[6,5,3,2,4,1,7] => 111010 => 010111 => 101000
[6,5,3,2,4,7,1] => 111001 => 100111 => 011000
[6,5,3,2,7,1,4] => 111010 => 010111 => 101000
[6,5,3,2,7,4,1] => 111011 => 110111 => 001000
[6,5,3,4,1,2,7] => 110100 => 001011 => 110100
[6,5,3,4,1,7,2] => 110101 => 101011 => 010100
[6,5,3,4,2,1,7] => 110110 => 011011 => 100100
[6,5,3,4,2,7,1] => 110101 => 101011 => 010100
[6,5,3,4,7,1,2] => 110010 => 010011 => 101100
[6,5,3,4,7,2,1] => 110011 => 110011 => 001100
[6,5,3,7,1,2,4] => 110100 => 001011 => 110100
[6,5,3,7,1,4,2] => 110101 => 101011 => 010100
[6,5,3,7,2,1,4] => 110110 => 011011 => 100100
[6,5,3,7,2,4,1] => 110101 => 101011 => 010100
[6,5,3,7,4,1,2] => 110110 => 011011 => 100100
[6,5,3,7,4,2,1] => 110111 => 111011 => 000100
[6,5,4,1,2,3,7] => 111000 => 000111 => 111000
[6,5,4,1,2,7,3] => 111001 => 100111 => 011000
[6,5,4,1,3,2,7] => 111010 => 010111 => 101000
[6,5,4,1,3,7,2] => 111001 => 100111 => 011000
[6,5,4,1,7,2,3] => 111010 => 010111 => 101000
[6,5,4,1,7,3,2] => 111011 => 110111 => 001000
[6,5,4,2,1,3,7] => 111100 => 001111 => 110000
[6,5,4,2,1,7,3] => 111101 => 101111 => 010000
[6,5,4,2,3,1,7] => 111010 => 010111 => 101000
[6,5,4,2,3,7,1] => 111001 => 100111 => 011000
[6,5,4,2,7,1,3] => 111010 => 010111 => 101000
[6,5,4,2,7,3,1] => 111011 => 110111 => 001000
[6,5,4,3,1,2,7] => 111100 => 001111 => 110000
[6,5,4,3,1,7,2] => 111101 => 101111 => 010000
[6,5,4,3,2,1,7] => 111110 => 011111 => 100000
[6,5,4,3,2,7,1] => 111101 => 101111 => 010000
[6,5,4,3,7,1,2] => 111010 => 010111 => 101000
[6,5,4,3,7,2,1] => 111011 => 110111 => 001000
[6,5,4,7,1,2,3] => 110100 => 001011 => 110100
[6,5,4,7,1,3,2] => 110101 => 101011 => 010100
[6,5,4,7,2,1,3] => 110110 => 011011 => 100100
[6,5,4,7,2,3,1] => 110101 => 101011 => 010100
[6,5,4,7,3,1,2] => 110110 => 011011 => 100100
[6,5,4,7,3,2,1] => 110111 => 111011 => 000100
[6,5,7,1,2,3,4] => 101000 => 000101 => 111010
[6,5,7,1,2,4,3] => 101001 => 100101 => 011010
[6,5,7,1,3,2,4] => 101010 => 010101 => 101010
[6,5,7,1,3,4,2] => 101001 => 100101 => 011010
[6,5,7,1,4,2,3] => 101010 => 010101 => 101010
[6,5,7,1,4,3,2] => 101011 => 110101 => 001010
[6,5,7,2,1,3,4] => 101100 => 001101 => 110010
[6,5,7,2,1,4,3] => 101101 => 101101 => 010010
[6,5,7,2,3,1,4] => 101010 => 010101 => 101010
[6,5,7,2,3,4,1] => 101001 => 100101 => 011010
[6,5,7,2,4,1,3] => 101010 => 010101 => 101010
[6,5,7,2,4,3,1] => 101011 => 110101 => 001010
[6,5,7,3,1,2,4] => 101100 => 001101 => 110010
[6,5,7,3,1,4,2] => 101101 => 101101 => 010010
[6,5,7,3,2,1,4] => 101110 => 011101 => 100010
[6,5,7,3,2,4,1] => 101101 => 101101 => 010010
[6,5,7,3,4,1,2] => 101010 => 010101 => 101010
[6,5,7,3,4,2,1] => 101011 => 110101 => 001010
[6,5,7,4,1,2,3] => 101100 => 001101 => 110010
[6,5,7,4,1,3,2] => 101101 => 101101 => 010010
[6,5,7,4,2,1,3] => 101110 => 011101 => 100010
[6,5,7,4,2,3,1] => 101101 => 101101 => 010010
[6,5,7,4,3,1,2] => 101110 => 011101 => 100010
[6,5,7,4,3,2,1] => 101111 => 111101 => 000010
[6,7,1,2,3,4,5] => 010000 => 000010 => 111101
[6,7,1,2,3,5,4] => 010001 => 100010 => 011101
[6,7,1,2,4,3,5] => 010010 => 010010 => 101101
[6,7,1,2,4,5,3] => 010001 => 100010 => 011101
[6,7,1,2,5,3,4] => 010010 => 010010 => 101101
[6,7,1,2,5,4,3] => 010011 => 110010 => 001101
[6,7,1,3,2,4,5] => 010100 => 001010 => 110101
[6,7,1,3,2,5,4] => 010101 => 101010 => 010101
[6,7,1,3,4,2,5] => 010010 => 010010 => 101101
[6,7,1,3,4,5,2] => 010001 => 100010 => 011101
[6,7,1,3,5,2,4] => 010010 => 010010 => 101101
[6,7,1,3,5,4,2] => 010011 => 110010 => 001101
[6,7,1,4,2,3,5] => 010100 => 001010 => 110101
[6,7,1,4,2,5,3] => 010101 => 101010 => 010101
[6,7,1,4,3,2,5] => 010110 => 011010 => 100101
[6,7,1,4,3,5,2] => 010101 => 101010 => 010101
[6,7,1,4,5,2,3] => 010010 => 010010 => 101101
[6,7,1,4,5,3,2] => 010011 => 110010 => 001101
[6,7,1,5,2,3,4] => 010100 => 001010 => 110101
[6,7,1,5,2,4,3] => 010101 => 101010 => 010101
[6,7,1,5,3,2,4] => 010110 => 011010 => 100101
[6,7,1,5,3,4,2] => 010101 => 101010 => 010101
[6,7,1,5,4,2,3] => 010110 => 011010 => 100101
[6,7,1,5,4,3,2] => 010111 => 111010 => 000101
[6,7,2,1,3,4,5] => 011000 => 000110 => 111001
[6,7,2,1,3,5,4] => 011001 => 100110 => 011001
[6,7,2,1,4,3,5] => 011010 => 010110 => 101001
[6,7,2,1,4,5,3] => 011001 => 100110 => 011001
[6,7,2,1,5,3,4] => 011010 => 010110 => 101001
[6,7,2,1,5,4,3] => 011011 => 110110 => 001001
[6,7,2,3,1,4,5] => 010100 => 001010 => 110101
[6,7,2,3,1,5,4] => 010101 => 101010 => 010101
[6,7,2,3,4,1,5] => 010010 => 010010 => 101101
[6,7,2,3,4,5,1] => 010001 => 100010 => 011101
[6,7,2,3,5,1,4] => 010010 => 010010 => 101101
[6,7,2,3,5,4,1] => 010011 => 110010 => 001101
[6,7,2,4,1,3,5] => 010100 => 001010 => 110101
[6,7,2,4,1,5,3] => 010101 => 101010 => 010101
[6,7,2,4,3,1,5] => 010110 => 011010 => 100101
[6,7,2,4,3,5,1] => 010101 => 101010 => 010101
[6,7,2,4,5,1,3] => 010010 => 010010 => 101101
[6,7,2,4,5,3,1] => 010011 => 110010 => 001101
[6,7,2,5,1,3,4] => 010100 => 001010 => 110101
[6,7,2,5,1,4,3] => 010101 => 101010 => 010101
[6,7,2,5,3,1,4] => 010110 => 011010 => 100101
[6,7,2,5,3,4,1] => 010101 => 101010 => 010101
[6,7,2,5,4,1,3] => 010110 => 011010 => 100101
[6,7,2,5,4,3,1] => 010111 => 111010 => 000101
[6,7,3,1,2,4,5] => 011000 => 000110 => 111001
[6,7,3,1,2,5,4] => 011001 => 100110 => 011001
[6,7,3,1,4,2,5] => 011010 => 010110 => 101001
[6,7,3,1,4,5,2] => 011001 => 100110 => 011001
[6,7,3,1,5,2,4] => 011010 => 010110 => 101001
[6,7,3,1,5,4,2] => 011011 => 110110 => 001001
[6,7,3,2,1,4,5] => 011100 => 001110 => 110001
[6,7,3,2,1,5,4] => 011101 => 101110 => 010001
[6,7,3,2,4,1,5] => 011010 => 010110 => 101001
[6,7,3,2,4,5,1] => 011001 => 100110 => 011001
[6,7,3,2,5,1,4] => 011010 => 010110 => 101001
[6,7,3,2,5,4,1] => 011011 => 110110 => 001001
[6,7,3,4,1,2,5] => 010100 => 001010 => 110101
[6,7,3,4,1,5,2] => 010101 => 101010 => 010101
[6,7,3,4,2,1,5] => 010110 => 011010 => 100101
[6,7,3,4,2,5,1] => 010101 => 101010 => 010101
[6,7,3,4,5,1,2] => 010010 => 010010 => 101101
[6,7,3,4,5,2,1] => 010011 => 110010 => 001101
[6,7,3,5,1,2,4] => 010100 => 001010 => 110101
[6,7,3,5,1,4,2] => 010101 => 101010 => 010101
[6,7,3,5,2,1,4] => 010110 => 011010 => 100101
[6,7,3,5,2,4,1] => 010101 => 101010 => 010101
[6,7,3,5,4,1,2] => 010110 => 011010 => 100101
[6,7,3,5,4,2,1] => 010111 => 111010 => 000101
[6,7,4,1,2,3,5] => 011000 => 000110 => 111001
[6,7,4,1,2,5,3] => 011001 => 100110 => 011001
[6,7,4,1,3,2,5] => 011010 => 010110 => 101001
[6,7,4,1,3,5,2] => 011001 => 100110 => 011001
[6,7,4,1,5,2,3] => 011010 => 010110 => 101001
[6,7,4,1,5,3,2] => 011011 => 110110 => 001001
[6,7,4,2,1,3,5] => 011100 => 001110 => 110001
[6,7,4,2,1,5,3] => 011101 => 101110 => 010001
[6,7,4,2,3,1,5] => 011010 => 010110 => 101001
[6,7,4,2,3,5,1] => 011001 => 100110 => 011001
[6,7,4,2,5,1,3] => 011010 => 010110 => 101001
[6,7,4,2,5,3,1] => 011011 => 110110 => 001001
[6,7,4,3,1,2,5] => 011100 => 001110 => 110001
[6,7,4,3,1,5,2] => 011101 => 101110 => 010001
[6,7,4,3,2,1,5] => 011110 => 011110 => 100001
[6,7,4,3,2,5,1] => 011101 => 101110 => 010001
[6,7,4,3,5,1,2] => 011010 => 010110 => 101001
[6,7,4,3,5,2,1] => 011011 => 110110 => 001001
[6,7,4,5,1,2,3] => 010100 => 001010 => 110101
[6,7,4,5,1,3,2] => 010101 => 101010 => 010101
[6,7,4,5,2,1,3] => 010110 => 011010 => 100101
[6,7,4,5,2,3,1] => 010101 => 101010 => 010101
[6,7,4,5,3,1,2] => 010110 => 011010 => 100101
[6,7,4,5,3,2,1] => 010111 => 111010 => 000101
[6,7,5,1,2,3,4] => 011000 => 000110 => 111001
[6,7,5,1,2,4,3] => 011001 => 100110 => 011001
[6,7,5,1,3,2,4] => 011010 => 010110 => 101001
[6,7,5,1,3,4,2] => 011001 => 100110 => 011001
[6,7,5,1,4,2,3] => 011010 => 010110 => 101001
[6,7,5,1,4,3,2] => 011011 => 110110 => 001001
[6,7,5,2,1,3,4] => 011100 => 001110 => 110001
[6,7,5,2,1,4,3] => 011101 => 101110 => 010001
[6,7,5,2,3,1,4] => 011010 => 010110 => 101001
[6,7,5,2,3,4,1] => 011001 => 100110 => 011001
[6,7,5,2,4,1,3] => 011010 => 010110 => 101001
[6,7,5,2,4,3,1] => 011011 => 110110 => 001001
[6,7,5,3,1,2,4] => 011100 => 001110 => 110001
[6,7,5,3,1,4,2] => 011101 => 101110 => 010001
[6,7,5,3,2,1,4] => 011110 => 011110 => 100001
[6,7,5,3,2,4,1] => 011101 => 101110 => 010001
[6,7,5,3,4,1,2] => 011010 => 010110 => 101001
[6,7,5,3,4,2,1] => 011011 => 110110 => 001001
[6,7,5,4,1,2,3] => 011100 => 001110 => 110001
[6,7,5,4,1,3,2] => 011101 => 101110 => 010001
[6,7,5,4,2,1,3] => 011110 => 011110 => 100001
[6,7,5,4,2,3,1] => 011101 => 101110 => 010001
[6,7,5,4,3,1,2] => 011110 => 011110 => 100001
[6,7,5,4,3,2,1] => 011111 => 111110 => 000001
[7,1,2,3,4,5,6] => 100000 => 000001 => 111110
[7,1,2,3,4,6,5] => 100001 => 100001 => 011110
[7,1,2,3,5,4,6] => 100010 => 010001 => 101110
[7,1,2,3,5,6,4] => 100001 => 100001 => 011110
[7,1,2,3,6,4,5] => 100010 => 010001 => 101110
[7,1,2,3,6,5,4] => 100011 => 110001 => 001110
[7,1,2,4,3,5,6] => 100100 => 001001 => 110110
[7,1,2,4,3,6,5] => 100101 => 101001 => 010110
[7,1,2,4,5,3,6] => 100010 => 010001 => 101110
[7,1,2,4,5,6,3] => 100001 => 100001 => 011110
[7,1,2,4,6,3,5] => 100010 => 010001 => 101110
[7,1,2,4,6,5,3] => 100011 => 110001 => 001110
[7,1,2,5,3,4,6] => 100100 => 001001 => 110110
[7,1,2,5,3,6,4] => 100101 => 101001 => 010110
[7,1,2,5,4,3,6] => 100110 => 011001 => 100110
[7,1,2,5,4,6,3] => 100101 => 101001 => 010110
[7,1,2,5,6,3,4] => 100010 => 010001 => 101110
[7,1,2,5,6,4,3] => 100011 => 110001 => 001110
[7,1,2,6,3,4,5] => 100100 => 001001 => 110110
[7,1,2,6,3,5,4] => 100101 => 101001 => 010110
[7,1,2,6,4,3,5] => 100110 => 011001 => 100110
[7,1,2,6,4,5,3] => 100101 => 101001 => 010110
[7,1,2,6,5,3,4] => 100110 => 011001 => 100110
[7,1,2,6,5,4,3] => 100111 => 111001 => 000110
[7,1,3,2,4,5,6] => 101000 => 000101 => 111010
[7,1,3,2,4,6,5] => 101001 => 100101 => 011010
[7,1,3,2,5,4,6] => 101010 => 010101 => 101010
[7,1,3,2,5,6,4] => 101001 => 100101 => 011010
[7,1,3,2,6,4,5] => 101010 => 010101 => 101010
[7,1,3,2,6,5,4] => 101011 => 110101 => 001010
[7,1,3,4,2,5,6] => 100100 => 001001 => 110110
[7,1,3,4,2,6,5] => 100101 => 101001 => 010110
[7,1,3,4,5,2,6] => 100010 => 010001 => 101110
[7,1,3,4,5,6,2] => 100001 => 100001 => 011110
[7,1,3,4,6,2,5] => 100010 => 010001 => 101110
[7,1,3,4,6,5,2] => 100011 => 110001 => 001110
[7,1,3,5,2,4,6] => 100100 => 001001 => 110110
[7,1,3,5,2,6,4] => 100101 => 101001 => 010110
[7,1,3,5,4,2,6] => 100110 => 011001 => 100110
[7,1,3,5,4,6,2] => 100101 => 101001 => 010110
[7,1,3,5,6,2,4] => 100010 => 010001 => 101110
[7,1,3,5,6,4,2] => 100011 => 110001 => 001110
[7,1,3,6,2,4,5] => 100100 => 001001 => 110110
[7,1,3,6,2,5,4] => 100101 => 101001 => 010110
[7,1,3,6,4,2,5] => 100110 => 011001 => 100110
[7,1,3,6,4,5,2] => 100101 => 101001 => 010110
[7,1,3,6,5,2,4] => 100110 => 011001 => 100110
[7,1,3,6,5,4,2] => 100111 => 111001 => 000110
[7,1,4,2,3,5,6] => 101000 => 000101 => 111010
[7,1,4,2,3,6,5] => 101001 => 100101 => 011010
[7,1,4,2,5,3,6] => 101010 => 010101 => 101010
[7,1,4,2,5,6,3] => 101001 => 100101 => 011010
[7,1,4,2,6,3,5] => 101010 => 010101 => 101010
[7,1,4,2,6,5,3] => 101011 => 110101 => 001010
[7,1,4,3,2,5,6] => 101100 => 001101 => 110010
[7,1,4,3,2,6,5] => 101101 => 101101 => 010010
[7,1,4,3,5,2,6] => 101010 => 010101 => 101010
[7,1,4,3,5,6,2] => 101001 => 100101 => 011010
[7,1,4,3,6,2,5] => 101010 => 010101 => 101010
[7,1,4,3,6,5,2] => 101011 => 110101 => 001010
[7,1,4,5,2,3,6] => 100100 => 001001 => 110110
[7,1,4,5,2,6,3] => 100101 => 101001 => 010110
[7,1,4,5,3,2,6] => 100110 => 011001 => 100110
[7,1,4,5,3,6,2] => 100101 => 101001 => 010110
[7,1,4,5,6,2,3] => 100010 => 010001 => 101110
[7,1,4,5,6,3,2] => 100011 => 110001 => 001110
[7,1,4,6,2,3,5] => 100100 => 001001 => 110110
[7,1,4,6,2,5,3] => 100101 => 101001 => 010110
[7,1,4,6,3,2,5] => 100110 => 011001 => 100110
[7,1,4,6,3,5,2] => 100101 => 101001 => 010110
[7,1,4,6,5,2,3] => 100110 => 011001 => 100110
[7,1,4,6,5,3,2] => 100111 => 111001 => 000110
[7,1,5,2,3,4,6] => 101000 => 000101 => 111010
[7,1,5,2,3,6,4] => 101001 => 100101 => 011010
[7,1,5,2,4,3,6] => 101010 => 010101 => 101010
[7,1,5,2,4,6,3] => 101001 => 100101 => 011010
[7,1,5,2,6,3,4] => 101010 => 010101 => 101010
[7,1,5,2,6,4,3] => 101011 => 110101 => 001010
[7,1,5,3,2,4,6] => 101100 => 001101 => 110010
[7,1,5,3,2,6,4] => 101101 => 101101 => 010010
[7,1,5,3,4,2,6] => 101010 => 010101 => 101010
[7,1,5,3,4,6,2] => 101001 => 100101 => 011010
[7,1,5,3,6,2,4] => 101010 => 010101 => 101010
[7,1,5,3,6,4,2] => 101011 => 110101 => 001010
[7,1,5,4,2,3,6] => 101100 => 001101 => 110010
[7,1,5,4,2,6,3] => 101101 => 101101 => 010010
[7,1,5,4,3,2,6] => 101110 => 011101 => 100010
[7,1,5,4,3,6,2] => 101101 => 101101 => 010010
[7,1,5,4,6,2,3] => 101010 => 010101 => 101010
[7,1,5,4,6,3,2] => 101011 => 110101 => 001010
[7,1,5,6,2,3,4] => 100100 => 001001 => 110110
[7,1,5,6,2,4,3] => 100101 => 101001 => 010110
[7,1,5,6,3,2,4] => 100110 => 011001 => 100110
[7,1,5,6,3,4,2] => 100101 => 101001 => 010110
[7,1,5,6,4,2,3] => 100110 => 011001 => 100110
[7,1,5,6,4,3,2] => 100111 => 111001 => 000110
[7,1,6,2,3,4,5] => 101000 => 000101 => 111010
[7,1,6,2,3,5,4] => 101001 => 100101 => 011010
[7,1,6,2,4,3,5] => 101010 => 010101 => 101010
[7,1,6,2,4,5,3] => 101001 => 100101 => 011010
[7,1,6,2,5,3,4] => 101010 => 010101 => 101010
[7,1,6,2,5,4,3] => 101011 => 110101 => 001010
[7,1,6,3,2,4,5] => 101100 => 001101 => 110010
[7,1,6,3,2,5,4] => 101101 => 101101 => 010010
[7,1,6,3,4,2,5] => 101010 => 010101 => 101010
[7,1,6,3,4,5,2] => 101001 => 100101 => 011010
[7,1,6,3,5,2,4] => 101010 => 010101 => 101010
[7,1,6,3,5,4,2] => 101011 => 110101 => 001010
[7,1,6,4,2,3,5] => 101100 => 001101 => 110010
[7,1,6,4,2,5,3] => 101101 => 101101 => 010010
[7,1,6,4,3,2,5] => 101110 => 011101 => 100010
[7,1,6,4,3,5,2] => 101101 => 101101 => 010010
[7,1,6,4,5,2,3] => 101010 => 010101 => 101010
[7,1,6,4,5,3,2] => 101011 => 110101 => 001010
[7,1,6,5,2,3,4] => 101100 => 001101 => 110010
[7,1,6,5,2,4,3] => 101101 => 101101 => 010010
[7,1,6,5,3,2,4] => 101110 => 011101 => 100010
[7,1,6,5,3,4,2] => 101101 => 101101 => 010010
[7,1,6,5,4,2,3] => 101110 => 011101 => 100010
[7,1,6,5,4,3,2] => 101111 => 111101 => 000010
[7,2,1,3,4,5,6] => 110000 => 000011 => 111100
[7,2,1,3,4,6,5] => 110001 => 100011 => 011100
[7,2,1,3,5,4,6] => 110010 => 010011 => 101100
[7,2,1,3,5,6,4] => 110001 => 100011 => 011100
[7,2,1,3,6,4,5] => 110010 => 010011 => 101100
[7,2,1,3,6,5,4] => 110011 => 110011 => 001100
[7,2,1,4,3,5,6] => 110100 => 001011 => 110100
[7,2,1,4,3,6,5] => 110101 => 101011 => 010100
[7,2,1,4,5,3,6] => 110010 => 010011 => 101100
[7,2,1,4,5,6,3] => 110001 => 100011 => 011100
[7,2,1,4,6,3,5] => 110010 => 010011 => 101100
[7,2,1,4,6,5,3] => 110011 => 110011 => 001100
[7,2,1,5,3,4,6] => 110100 => 001011 => 110100
[7,2,1,5,3,6,4] => 110101 => 101011 => 010100
[7,2,1,5,4,3,6] => 110110 => 011011 => 100100
[7,2,1,5,4,6,3] => 110101 => 101011 => 010100
[7,2,1,5,6,3,4] => 110010 => 010011 => 101100
[7,2,1,5,6,4,3] => 110011 => 110011 => 001100
[7,2,1,6,3,4,5] => 110100 => 001011 => 110100
[7,2,1,6,3,5,4] => 110101 => 101011 => 010100
[7,2,1,6,4,3,5] => 110110 => 011011 => 100100
[7,2,1,6,4,5,3] => 110101 => 101011 => 010100
[7,2,1,6,5,3,4] => 110110 => 011011 => 100100
[7,2,1,6,5,4,3] => 110111 => 111011 => 000100
[7,2,3,1,4,5,6] => 101000 => 000101 => 111010
[7,2,3,1,4,6,5] => 101001 => 100101 => 011010
[7,2,3,1,5,4,6] => 101010 => 010101 => 101010
[7,2,3,1,5,6,4] => 101001 => 100101 => 011010
[7,2,3,1,6,4,5] => 101010 => 010101 => 101010
[7,2,3,1,6,5,4] => 101011 => 110101 => 001010
[7,2,3,4,1,5,6] => 100100 => 001001 => 110110
[7,2,3,4,1,6,5] => 100101 => 101001 => 010110
[7,2,3,4,5,1,6] => 100010 => 010001 => 101110
[7,2,3,4,5,6,1] => 100001 => 100001 => 011110
[7,2,3,4,6,1,5] => 100010 => 010001 => 101110
[7,2,3,4,6,5,1] => 100011 => 110001 => 001110
[7,2,3,5,1,4,6] => 100100 => 001001 => 110110
[7,2,3,5,1,6,4] => 100101 => 101001 => 010110
[7,2,3,5,4,1,6] => 100110 => 011001 => 100110
[7,2,3,5,4,6,1] => 100101 => 101001 => 010110
[7,2,3,5,6,1,4] => 100010 => 010001 => 101110
[7,2,3,5,6,4,1] => 100011 => 110001 => 001110
[7,2,3,6,1,4,5] => 100100 => 001001 => 110110
[7,2,3,6,1,5,4] => 100101 => 101001 => 010110
[7,2,3,6,4,1,5] => 100110 => 011001 => 100110
[7,2,3,6,4,5,1] => 100101 => 101001 => 010110
[7,2,3,6,5,1,4] => 100110 => 011001 => 100110
[7,2,3,6,5,4,1] => 100111 => 111001 => 000110
[7,2,4,1,3,5,6] => 101000 => 000101 => 111010
[7,2,4,1,3,6,5] => 101001 => 100101 => 011010
[7,2,4,1,5,3,6] => 101010 => 010101 => 101010
[7,2,4,1,5,6,3] => 101001 => 100101 => 011010
[7,2,4,1,6,3,5] => 101010 => 010101 => 101010
[7,2,4,1,6,5,3] => 101011 => 110101 => 001010
[7,2,4,3,1,5,6] => 101100 => 001101 => 110010
[7,2,4,3,1,6,5] => 101101 => 101101 => 010010
[7,2,4,3,5,1,6] => 101010 => 010101 => 101010
[7,2,4,3,5,6,1] => 101001 => 100101 => 011010
[7,2,4,3,6,1,5] => 101010 => 010101 => 101010
[7,2,4,3,6,5,1] => 101011 => 110101 => 001010
[7,2,4,5,1,3,6] => 100100 => 001001 => 110110
[7,2,4,5,1,6,3] => 100101 => 101001 => 010110
[7,2,4,5,3,1,6] => 100110 => 011001 => 100110
[7,2,4,5,3,6,1] => 100101 => 101001 => 010110
[7,2,4,5,6,1,3] => 100010 => 010001 => 101110
[7,2,4,5,6,3,1] => 100011 => 110001 => 001110
[7,2,4,6,1,3,5] => 100100 => 001001 => 110110
[7,2,4,6,1,5,3] => 100101 => 101001 => 010110
[7,2,4,6,3,1,5] => 100110 => 011001 => 100110
[7,2,4,6,3,5,1] => 100101 => 101001 => 010110
[7,2,4,6,5,1,3] => 100110 => 011001 => 100110
[7,2,4,6,5,3,1] => 100111 => 111001 => 000110
[7,2,5,1,3,4,6] => 101000 => 000101 => 111010
[7,2,5,1,3,6,4] => 101001 => 100101 => 011010
[7,2,5,1,4,3,6] => 101010 => 010101 => 101010
[7,2,5,1,4,6,3] => 101001 => 100101 => 011010
[7,2,5,1,6,3,4] => 101010 => 010101 => 101010
[7,2,5,1,6,4,3] => 101011 => 110101 => 001010
[7,2,5,3,1,4,6] => 101100 => 001101 => 110010
[7,2,5,3,1,6,4] => 101101 => 101101 => 010010
[7,2,5,3,4,1,6] => 101010 => 010101 => 101010
[7,2,5,3,4,6,1] => 101001 => 100101 => 011010
[7,2,5,3,6,1,4] => 101010 => 010101 => 101010
[7,2,5,3,6,4,1] => 101011 => 110101 => 001010
[7,2,5,4,1,3,6] => 101100 => 001101 => 110010
[7,2,5,4,1,6,3] => 101101 => 101101 => 010010
[7,2,5,4,3,1,6] => 101110 => 011101 => 100010
[7,2,5,4,3,6,1] => 101101 => 101101 => 010010
[7,2,5,4,6,1,3] => 101010 => 010101 => 101010
[7,2,5,4,6,3,1] => 101011 => 110101 => 001010
[7,2,5,6,1,3,4] => 100100 => 001001 => 110110
[7,2,5,6,1,4,3] => 100101 => 101001 => 010110
[7,2,5,6,3,1,4] => 100110 => 011001 => 100110
[7,2,5,6,3,4,1] => 100101 => 101001 => 010110
[7,2,5,6,4,1,3] => 100110 => 011001 => 100110
[7,2,5,6,4,3,1] => 100111 => 111001 => 000110
[7,2,6,1,3,4,5] => 101000 => 000101 => 111010
[7,2,6,1,3,5,4] => 101001 => 100101 => 011010
[7,2,6,1,4,3,5] => 101010 => 010101 => 101010
[7,2,6,1,4,5,3] => 101001 => 100101 => 011010
[7,2,6,1,5,3,4] => 101010 => 010101 => 101010
[7,2,6,1,5,4,3] => 101011 => 110101 => 001010
[7,2,6,3,1,4,5] => 101100 => 001101 => 110010
[7,2,6,3,1,5,4] => 101101 => 101101 => 010010
[7,2,6,3,4,1,5] => 101010 => 010101 => 101010
[7,2,6,3,4,5,1] => 101001 => 100101 => 011010
[7,2,6,3,5,1,4] => 101010 => 010101 => 101010
[7,2,6,3,5,4,1] => 101011 => 110101 => 001010
[7,2,6,4,1,3,5] => 101100 => 001101 => 110010
[7,2,6,4,1,5,3] => 101101 => 101101 => 010010
[7,2,6,4,3,1,5] => 101110 => 011101 => 100010
[7,2,6,4,3,5,1] => 101101 => 101101 => 010010
[7,2,6,4,5,1,3] => 101010 => 010101 => 101010
[7,2,6,4,5,3,1] => 101011 => 110101 => 001010
[7,2,6,5,1,3,4] => 101100 => 001101 => 110010
[7,2,6,5,1,4,3] => 101101 => 101101 => 010010
[7,2,6,5,3,1,4] => 101110 => 011101 => 100010
[7,2,6,5,3,4,1] => 101101 => 101101 => 010010
[7,2,6,5,4,1,3] => 101110 => 011101 => 100010
[7,2,6,5,4,3,1] => 101111 => 111101 => 000010
[7,3,1,2,4,5,6] => 110000 => 000011 => 111100
[7,3,1,2,4,6,5] => 110001 => 100011 => 011100
[7,3,1,2,5,4,6] => 110010 => 010011 => 101100
[7,3,1,2,5,6,4] => 110001 => 100011 => 011100
[7,3,1,2,6,4,5] => 110010 => 010011 => 101100
[7,3,1,2,6,5,4] => 110011 => 110011 => 001100
[7,3,1,4,2,5,6] => 110100 => 001011 => 110100
[7,3,1,4,2,6,5] => 110101 => 101011 => 010100
[7,3,1,4,5,2,6] => 110010 => 010011 => 101100
[7,3,1,4,5,6,2] => 110001 => 100011 => 011100
[7,3,1,4,6,2,5] => 110010 => 010011 => 101100
[7,3,1,4,6,5,2] => 110011 => 110011 => 001100
[7,3,1,5,2,4,6] => 110100 => 001011 => 110100
[7,3,1,5,2,6,4] => 110101 => 101011 => 010100
[7,3,1,5,4,2,6] => 110110 => 011011 => 100100
[7,3,1,5,4,6,2] => 110101 => 101011 => 010100
[7,3,1,5,6,2,4] => 110010 => 010011 => 101100
[7,3,1,5,6,4,2] => 110011 => 110011 => 001100
[7,3,1,6,2,4,5] => 110100 => 001011 => 110100
[7,3,1,6,2,5,4] => 110101 => 101011 => 010100
[7,3,1,6,4,2,5] => 110110 => 011011 => 100100
[7,3,1,6,4,5,2] => 110101 => 101011 => 010100
[7,3,1,6,5,2,4] => 110110 => 011011 => 100100
[7,3,1,6,5,4,2] => 110111 => 111011 => 000100
[7,3,2,1,4,5,6] => 111000 => 000111 => 111000
[7,3,2,1,4,6,5] => 111001 => 100111 => 011000
[7,3,2,1,5,4,6] => 111010 => 010111 => 101000
[7,3,2,1,5,6,4] => 111001 => 100111 => 011000
[7,3,2,1,6,4,5] => 111010 => 010111 => 101000
[7,3,2,1,6,5,4] => 111011 => 110111 => 001000
[7,3,2,4,1,5,6] => 110100 => 001011 => 110100
[7,3,2,4,1,6,5] => 110101 => 101011 => 010100
[7,3,2,4,5,1,6] => 110010 => 010011 => 101100
[7,3,2,4,5,6,1] => 110001 => 100011 => 011100
[7,3,2,4,6,1,5] => 110010 => 010011 => 101100
[7,3,2,4,6,5,1] => 110011 => 110011 => 001100
[7,3,2,5,1,4,6] => 110100 => 001011 => 110100
[7,3,2,5,1,6,4] => 110101 => 101011 => 010100
[7,3,2,5,4,1,6] => 110110 => 011011 => 100100
[7,3,2,5,4,6,1] => 110101 => 101011 => 010100
[7,3,2,5,6,1,4] => 110010 => 010011 => 101100
[7,3,2,5,6,4,1] => 110011 => 110011 => 001100
[7,3,2,6,1,4,5] => 110100 => 001011 => 110100
[7,3,2,6,1,5,4] => 110101 => 101011 => 010100
[7,3,2,6,4,1,5] => 110110 => 011011 => 100100
[7,3,2,6,4,5,1] => 110101 => 101011 => 010100
[7,3,2,6,5,1,4] => 110110 => 011011 => 100100
[7,3,2,6,5,4,1] => 110111 => 111011 => 000100
[7,3,4,1,2,5,6] => 101000 => 000101 => 111010
[7,3,4,1,2,6,5] => 101001 => 100101 => 011010
[7,3,4,1,5,2,6] => 101010 => 010101 => 101010
[7,3,4,1,5,6,2] => 101001 => 100101 => 011010
[7,3,4,1,6,2,5] => 101010 => 010101 => 101010
[7,3,4,1,6,5,2] => 101011 => 110101 => 001010
[7,3,4,2,1,5,6] => 101100 => 001101 => 110010
[7,3,4,2,1,6,5] => 101101 => 101101 => 010010
[7,3,4,2,5,1,6] => 101010 => 010101 => 101010
[7,3,4,2,5,6,1] => 101001 => 100101 => 011010
[7,3,4,2,6,1,5] => 101010 => 010101 => 101010
[7,3,4,2,6,5,1] => 101011 => 110101 => 001010
[7,3,4,5,1,2,6] => 100100 => 001001 => 110110
[7,3,4,5,1,6,2] => 100101 => 101001 => 010110
[7,3,4,5,2,1,6] => 100110 => 011001 => 100110
[7,3,4,5,2,6,1] => 100101 => 101001 => 010110
[7,3,4,5,6,1,2] => 100010 => 010001 => 101110
[7,3,4,5,6,2,1] => 100011 => 110001 => 001110
[7,3,4,6,1,2,5] => 100100 => 001001 => 110110
[7,3,4,6,1,5,2] => 100101 => 101001 => 010110
[7,3,4,6,2,1,5] => 100110 => 011001 => 100110
[7,3,4,6,2,5,1] => 100101 => 101001 => 010110
[7,3,4,6,5,1,2] => 100110 => 011001 => 100110
[7,3,4,6,5,2,1] => 100111 => 111001 => 000110
[7,3,5,1,2,4,6] => 101000 => 000101 => 111010
[7,3,5,1,2,6,4] => 101001 => 100101 => 011010
[7,3,5,1,4,2,6] => 101010 => 010101 => 101010
[7,3,5,1,4,6,2] => 101001 => 100101 => 011010
[7,3,5,1,6,2,4] => 101010 => 010101 => 101010
[7,3,5,1,6,4,2] => 101011 => 110101 => 001010
[7,3,5,2,1,4,6] => 101100 => 001101 => 110010
[7,3,5,2,1,6,4] => 101101 => 101101 => 010010
[7,3,5,2,4,1,6] => 101010 => 010101 => 101010
[7,3,5,2,4,6,1] => 101001 => 100101 => 011010
[7,3,5,2,6,1,4] => 101010 => 010101 => 101010
[7,3,5,2,6,4,1] => 101011 => 110101 => 001010
[7,3,5,4,1,2,6] => 101100 => 001101 => 110010
[7,3,5,4,1,6,2] => 101101 => 101101 => 010010
[7,3,5,4,2,1,6] => 101110 => 011101 => 100010
[7,3,5,4,2,6,1] => 101101 => 101101 => 010010
[7,3,5,4,6,1,2] => 101010 => 010101 => 101010
[7,3,5,4,6,2,1] => 101011 => 110101 => 001010
[7,3,5,6,1,2,4] => 100100 => 001001 => 110110
[7,3,5,6,1,4,2] => 100101 => 101001 => 010110
[7,3,5,6,2,1,4] => 100110 => 011001 => 100110
[7,3,5,6,2,4,1] => 100101 => 101001 => 010110
[7,3,5,6,4,1,2] => 100110 => 011001 => 100110
[7,3,5,6,4,2,1] => 100111 => 111001 => 000110
[7,3,6,1,2,4,5] => 101000 => 000101 => 111010
[7,3,6,1,2,5,4] => 101001 => 100101 => 011010
[7,3,6,1,4,2,5] => 101010 => 010101 => 101010
[7,3,6,1,4,5,2] => 101001 => 100101 => 011010
[7,3,6,1,5,2,4] => 101010 => 010101 => 101010
[7,3,6,1,5,4,2] => 101011 => 110101 => 001010
[7,3,6,2,1,4,5] => 101100 => 001101 => 110010
[7,3,6,2,1,5,4] => 101101 => 101101 => 010010
[7,3,6,2,4,1,5] => 101010 => 010101 => 101010
[7,3,6,2,4,5,1] => 101001 => 100101 => 011010
[7,3,6,2,5,1,4] => 101010 => 010101 => 101010
[7,3,6,2,5,4,1] => 101011 => 110101 => 001010
[7,3,6,4,1,2,5] => 101100 => 001101 => 110010
[7,3,6,4,1,5,2] => 101101 => 101101 => 010010
[7,3,6,4,2,1,5] => 101110 => 011101 => 100010
[7,3,6,4,2,5,1] => 101101 => 101101 => 010010
[7,3,6,4,5,1,2] => 101010 => 010101 => 101010
[7,3,6,4,5,2,1] => 101011 => 110101 => 001010
[7,3,6,5,1,2,4] => 101100 => 001101 => 110010
[7,3,6,5,1,4,2] => 101101 => 101101 => 010010
[7,3,6,5,2,1,4] => 101110 => 011101 => 100010
[7,3,6,5,2,4,1] => 101101 => 101101 => 010010
[7,3,6,5,4,1,2] => 101110 => 011101 => 100010
[7,3,6,5,4,2,1] => 101111 => 111101 => 000010
[7,4,1,2,3,5,6] => 110000 => 000011 => 111100
[7,4,1,2,3,6,5] => 110001 => 100011 => 011100
[7,4,1,2,5,3,6] => 110010 => 010011 => 101100
[7,4,1,2,5,6,3] => 110001 => 100011 => 011100
[7,4,1,2,6,3,5] => 110010 => 010011 => 101100
[7,4,1,2,6,5,3] => 110011 => 110011 => 001100
[7,4,1,3,2,5,6] => 110100 => 001011 => 110100
[7,4,1,3,2,6,5] => 110101 => 101011 => 010100
[7,4,1,3,5,2,6] => 110010 => 010011 => 101100
[7,4,1,3,5,6,2] => 110001 => 100011 => 011100
[7,4,1,3,6,2,5] => 110010 => 010011 => 101100
[7,4,1,3,6,5,2] => 110011 => 110011 => 001100
[7,4,1,5,2,3,6] => 110100 => 001011 => 110100
[7,4,1,5,2,6,3] => 110101 => 101011 => 010100
[7,4,1,5,3,2,6] => 110110 => 011011 => 100100
[7,4,1,5,3,6,2] => 110101 => 101011 => 010100
[7,4,1,5,6,2,3] => 110010 => 010011 => 101100
[7,4,1,5,6,3,2] => 110011 => 110011 => 001100
[7,4,1,6,2,3,5] => 110100 => 001011 => 110100
[7,4,1,6,2,5,3] => 110101 => 101011 => 010100
[7,4,1,6,3,2,5] => 110110 => 011011 => 100100
[7,4,1,6,3,5,2] => 110101 => 101011 => 010100
[7,4,1,6,5,2,3] => 110110 => 011011 => 100100
[7,4,1,6,5,3,2] => 110111 => 111011 => 000100
[7,4,2,1,3,5,6] => 111000 => 000111 => 111000
[7,4,2,1,3,6,5] => 111001 => 100111 => 011000
[7,4,2,1,5,3,6] => 111010 => 010111 => 101000
[7,4,2,1,5,6,3] => 111001 => 100111 => 011000
[7,4,2,1,6,3,5] => 111010 => 010111 => 101000
[7,4,2,1,6,5,3] => 111011 => 110111 => 001000
[7,4,2,3,1,5,6] => 110100 => 001011 => 110100
[7,4,2,3,1,6,5] => 110101 => 101011 => 010100
[7,4,2,3,5,1,6] => 110010 => 010011 => 101100
[7,4,2,3,5,6,1] => 110001 => 100011 => 011100
[7,4,2,3,6,1,5] => 110010 => 010011 => 101100
[7,4,2,3,6,5,1] => 110011 => 110011 => 001100
[7,4,2,5,1,3,6] => 110100 => 001011 => 110100
[7,4,2,5,1,6,3] => 110101 => 101011 => 010100
[7,4,2,5,3,1,6] => 110110 => 011011 => 100100
[7,4,2,5,3,6,1] => 110101 => 101011 => 010100
[7,4,2,5,6,1,3] => 110010 => 010011 => 101100
[7,4,2,5,6,3,1] => 110011 => 110011 => 001100
[7,4,2,6,1,3,5] => 110100 => 001011 => 110100
[7,4,2,6,1,5,3] => 110101 => 101011 => 010100
[7,4,2,6,3,1,5] => 110110 => 011011 => 100100
[7,4,2,6,3,5,1] => 110101 => 101011 => 010100
[7,4,2,6,5,1,3] => 110110 => 011011 => 100100
[7,4,2,6,5,3,1] => 110111 => 111011 => 000100
[7,4,3,1,2,5,6] => 111000 => 000111 => 111000
[7,4,3,1,2,6,5] => 111001 => 100111 => 011000
[7,4,3,1,5,2,6] => 111010 => 010111 => 101000
[7,4,3,1,5,6,2] => 111001 => 100111 => 011000
[7,4,3,1,6,2,5] => 111010 => 010111 => 101000
[7,4,3,1,6,5,2] => 111011 => 110111 => 001000
[7,4,3,2,1,5,6] => 111100 => 001111 => 110000
[7,4,3,2,1,6,5] => 111101 => 101111 => 010000
[7,4,3,2,5,1,6] => 111010 => 010111 => 101000
[7,4,3,2,5,6,1] => 111001 => 100111 => 011000
[7,4,3,2,6,1,5] => 111010 => 010111 => 101000
[7,4,3,2,6,5,1] => 111011 => 110111 => 001000
[7,4,3,5,1,2,6] => 110100 => 001011 => 110100
[7,4,3,5,1,6,2] => 110101 => 101011 => 010100
[7,4,3,5,2,1,6] => 110110 => 011011 => 100100
[7,4,3,5,2,6,1] => 110101 => 101011 => 010100
[7,4,3,5,6,1,2] => 110010 => 010011 => 101100
[7,4,3,5,6,2,1] => 110011 => 110011 => 001100
[7,4,3,6,1,2,5] => 110100 => 001011 => 110100
[7,4,3,6,1,5,2] => 110101 => 101011 => 010100
[7,4,3,6,2,1,5] => 110110 => 011011 => 100100
[7,4,3,6,2,5,1] => 110101 => 101011 => 010100
[7,4,3,6,5,1,2] => 110110 => 011011 => 100100
[7,4,3,6,5,2,1] => 110111 => 111011 => 000100
[7,4,5,1,2,3,6] => 101000 => 000101 => 111010
[7,4,5,1,2,6,3] => 101001 => 100101 => 011010
[7,4,5,1,3,2,6] => 101010 => 010101 => 101010
[7,4,5,1,3,6,2] => 101001 => 100101 => 011010
[7,4,5,1,6,2,3] => 101010 => 010101 => 101010
[7,4,5,1,6,3,2] => 101011 => 110101 => 001010
[7,4,5,2,1,3,6] => 101100 => 001101 => 110010
[7,4,5,2,1,6,3] => 101101 => 101101 => 010010
[7,4,5,2,3,1,6] => 101010 => 010101 => 101010
[7,4,5,2,3,6,1] => 101001 => 100101 => 011010
[7,4,5,2,6,1,3] => 101010 => 010101 => 101010
[7,4,5,2,6,3,1] => 101011 => 110101 => 001010
[7,4,5,3,1,2,6] => 101100 => 001101 => 110010
[7,4,5,3,1,6,2] => 101101 => 101101 => 010010
[7,4,5,3,2,1,6] => 101110 => 011101 => 100010
[7,4,5,3,2,6,1] => 101101 => 101101 => 010010
[7,4,5,3,6,1,2] => 101010 => 010101 => 101010
[7,4,5,3,6,2,1] => 101011 => 110101 => 001010
[7,4,5,6,1,2,3] => 100100 => 001001 => 110110
[7,4,5,6,1,3,2] => 100101 => 101001 => 010110
[7,4,5,6,2,1,3] => 100110 => 011001 => 100110
[7,4,5,6,2,3,1] => 100101 => 101001 => 010110
[7,4,5,6,3,1,2] => 100110 => 011001 => 100110
[7,4,5,6,3,2,1] => 100111 => 111001 => 000110
[7,4,6,1,2,3,5] => 101000 => 000101 => 111010
[7,4,6,1,2,5,3] => 101001 => 100101 => 011010
[7,4,6,1,3,2,5] => 101010 => 010101 => 101010
[7,4,6,1,3,5,2] => 101001 => 100101 => 011010
[7,4,6,1,5,2,3] => 101010 => 010101 => 101010
[7,4,6,1,5,3,2] => 101011 => 110101 => 001010
[7,4,6,2,1,3,5] => 101100 => 001101 => 110010
[7,4,6,2,1,5,3] => 101101 => 101101 => 010010
[7,4,6,2,3,1,5] => 101010 => 010101 => 101010
[7,4,6,2,3,5,1] => 101001 => 100101 => 011010
[7,4,6,2,5,1,3] => 101010 => 010101 => 101010
[7,4,6,2,5,3,1] => 101011 => 110101 => 001010
[7,4,6,3,1,2,5] => 101100 => 001101 => 110010
[7,4,6,3,1,5,2] => 101101 => 101101 => 010010
[7,4,6,3,2,1,5] => 101110 => 011101 => 100010
[7,4,6,3,2,5,1] => 101101 => 101101 => 010010
[7,4,6,3,5,1,2] => 101010 => 010101 => 101010
[7,4,6,3,5,2,1] => 101011 => 110101 => 001010
[7,4,6,5,1,2,3] => 101100 => 001101 => 110010
[7,4,6,5,1,3,2] => 101101 => 101101 => 010010
[7,4,6,5,2,1,3] => 101110 => 011101 => 100010
[7,4,6,5,2,3,1] => 101101 => 101101 => 010010
[7,4,6,5,3,1,2] => 101110 => 011101 => 100010
[7,4,6,5,3,2,1] => 101111 => 111101 => 000010
[7,5,1,2,3,4,6] => 110000 => 000011 => 111100
[7,5,1,2,3,6,4] => 110001 => 100011 => 011100
[7,5,1,2,4,3,6] => 110010 => 010011 => 101100
[7,5,1,2,4,6,3] => 110001 => 100011 => 011100
[7,5,1,2,6,3,4] => 110010 => 010011 => 101100
[7,5,1,2,6,4,3] => 110011 => 110011 => 001100
[7,5,1,3,2,4,6] => 110100 => 001011 => 110100
[7,5,1,3,2,6,4] => 110101 => 101011 => 010100
[7,5,1,3,4,2,6] => 110010 => 010011 => 101100
[7,5,1,3,4,6,2] => 110001 => 100011 => 011100
[7,5,1,3,6,2,4] => 110010 => 010011 => 101100
[7,5,1,3,6,4,2] => 110011 => 110011 => 001100
[7,5,1,4,2,3,6] => 110100 => 001011 => 110100
[7,5,1,4,2,6,3] => 110101 => 101011 => 010100
[7,5,1,4,3,2,6] => 110110 => 011011 => 100100
[7,5,1,4,3,6,2] => 110101 => 101011 => 010100
[7,5,1,4,6,2,3] => 110010 => 010011 => 101100
[7,5,1,4,6,3,2] => 110011 => 110011 => 001100
[7,5,1,6,2,3,4] => 110100 => 001011 => 110100
[7,5,1,6,2,4,3] => 110101 => 101011 => 010100
[7,5,1,6,3,2,4] => 110110 => 011011 => 100100
[7,5,1,6,3,4,2] => 110101 => 101011 => 010100
[7,5,1,6,4,2,3] => 110110 => 011011 => 100100
[7,5,1,6,4,3,2] => 110111 => 111011 => 000100
[7,5,2,1,3,4,6] => 111000 => 000111 => 111000
[7,5,2,1,3,6,4] => 111001 => 100111 => 011000
[7,5,2,1,4,3,6] => 111010 => 010111 => 101000
[7,5,2,1,4,6,3] => 111001 => 100111 => 011000
[7,5,2,1,6,3,4] => 111010 => 010111 => 101000
[7,5,2,1,6,4,3] => 111011 => 110111 => 001000
[7,5,2,3,1,4,6] => 110100 => 001011 => 110100
[7,5,2,3,1,6,4] => 110101 => 101011 => 010100
[7,5,2,3,4,1,6] => 110010 => 010011 => 101100
[7,5,2,3,4,6,1] => 110001 => 100011 => 011100
[7,5,2,3,6,1,4] => 110010 => 010011 => 101100
[7,5,2,3,6,4,1] => 110011 => 110011 => 001100
[7,5,2,4,1,3,6] => 110100 => 001011 => 110100
[7,5,2,4,1,6,3] => 110101 => 101011 => 010100
[7,5,2,4,3,1,6] => 110110 => 011011 => 100100
[7,5,2,4,3,6,1] => 110101 => 101011 => 010100
[7,5,2,4,6,1,3] => 110010 => 010011 => 101100
[7,5,2,4,6,3,1] => 110011 => 110011 => 001100
[7,5,2,6,1,3,4] => 110100 => 001011 => 110100
[7,5,2,6,1,4,3] => 110101 => 101011 => 010100
[7,5,2,6,3,1,4] => 110110 => 011011 => 100100
[7,5,2,6,3,4,1] => 110101 => 101011 => 010100
[7,5,2,6,4,1,3] => 110110 => 011011 => 100100
[7,5,2,6,4,3,1] => 110111 => 111011 => 000100
[7,5,3,1,2,4,6] => 111000 => 000111 => 111000
[7,5,3,1,2,6,4] => 111001 => 100111 => 011000
[7,5,3,1,4,2,6] => 111010 => 010111 => 101000
[7,5,3,1,4,6,2] => 111001 => 100111 => 011000
[7,5,3,1,6,2,4] => 111010 => 010111 => 101000
[7,5,3,1,6,4,2] => 111011 => 110111 => 001000
[7,5,3,2,1,4,6] => 111100 => 001111 => 110000
[7,5,3,2,1,6,4] => 111101 => 101111 => 010000
[7,5,3,2,4,1,6] => 111010 => 010111 => 101000
[7,5,3,2,4,6,1] => 111001 => 100111 => 011000
[7,5,3,2,6,1,4] => 111010 => 010111 => 101000
[7,5,3,2,6,4,1] => 111011 => 110111 => 001000
[7,5,3,4,1,2,6] => 110100 => 001011 => 110100
[7,5,3,4,1,6,2] => 110101 => 101011 => 010100
[7,5,3,4,2,1,6] => 110110 => 011011 => 100100
[7,5,3,4,2,6,1] => 110101 => 101011 => 010100
[7,5,3,4,6,1,2] => 110010 => 010011 => 101100
[7,5,3,4,6,2,1] => 110011 => 110011 => 001100
[7,5,3,6,1,2,4] => 110100 => 001011 => 110100
[7,5,3,6,1,4,2] => 110101 => 101011 => 010100
[7,5,3,6,2,1,4] => 110110 => 011011 => 100100
[7,5,3,6,2,4,1] => 110101 => 101011 => 010100
[7,5,3,6,4,1,2] => 110110 => 011011 => 100100
[7,5,3,6,4,2,1] => 110111 => 111011 => 000100
[7,5,4,1,2,3,6] => 111000 => 000111 => 111000
[7,5,4,1,2,6,3] => 111001 => 100111 => 011000
[7,5,4,1,3,2,6] => 111010 => 010111 => 101000
[7,5,4,1,3,6,2] => 111001 => 100111 => 011000
[7,5,4,1,6,2,3] => 111010 => 010111 => 101000
[7,5,4,1,6,3,2] => 111011 => 110111 => 001000
[7,5,4,2,1,3,6] => 111100 => 001111 => 110000
[7,5,4,2,1,6,3] => 111101 => 101111 => 010000
[7,5,4,2,3,1,6] => 111010 => 010111 => 101000
[7,5,4,2,3,6,1] => 111001 => 100111 => 011000
[7,5,4,2,6,1,3] => 111010 => 010111 => 101000
[7,5,4,2,6,3,1] => 111011 => 110111 => 001000
[7,5,4,3,1,2,6] => 111100 => 001111 => 110000
[7,5,4,3,1,6,2] => 111101 => 101111 => 010000
[7,5,4,3,2,1,6] => 111110 => 011111 => 100000
[7,5,4,3,2,6,1] => 111101 => 101111 => 010000
[7,5,4,3,6,1,2] => 111010 => 010111 => 101000
[7,5,4,3,6,2,1] => 111011 => 110111 => 001000
[7,5,4,6,1,2,3] => 110100 => 001011 => 110100
[7,5,4,6,1,3,2] => 110101 => 101011 => 010100
[7,5,4,6,2,1,3] => 110110 => 011011 => 100100
[7,5,4,6,2,3,1] => 110101 => 101011 => 010100
[7,5,4,6,3,1,2] => 110110 => 011011 => 100100
[7,5,4,6,3,2,1] => 110111 => 111011 => 000100
[7,5,6,1,2,3,4] => 101000 => 000101 => 111010
[7,5,6,1,2,4,3] => 101001 => 100101 => 011010
[7,5,6,1,3,2,4] => 101010 => 010101 => 101010
[7,5,6,1,3,4,2] => 101001 => 100101 => 011010
[7,5,6,1,4,2,3] => 101010 => 010101 => 101010
[7,5,6,1,4,3,2] => 101011 => 110101 => 001010
[7,5,6,2,1,3,4] => 101100 => 001101 => 110010
[7,5,6,2,1,4,3] => 101101 => 101101 => 010010
[7,5,6,2,3,1,4] => 101010 => 010101 => 101010
[7,5,6,2,3,4,1] => 101001 => 100101 => 011010
[7,5,6,2,4,1,3] => 101010 => 010101 => 101010
[7,5,6,2,4,3,1] => 101011 => 110101 => 001010
[7,5,6,3,1,2,4] => 101100 => 001101 => 110010
[7,5,6,3,1,4,2] => 101101 => 101101 => 010010
[7,5,6,3,2,1,4] => 101110 => 011101 => 100010
[7,5,6,3,2,4,1] => 101101 => 101101 => 010010
[7,5,6,3,4,1,2] => 101010 => 010101 => 101010
[7,5,6,3,4,2,1] => 101011 => 110101 => 001010
[7,5,6,4,1,2,3] => 101100 => 001101 => 110010
[7,5,6,4,1,3,2] => 101101 => 101101 => 010010
[7,5,6,4,2,1,3] => 101110 => 011101 => 100010
[7,5,6,4,2,3,1] => 101101 => 101101 => 010010
[7,5,6,4,3,1,2] => 101110 => 011101 => 100010
[7,5,6,4,3,2,1] => 101111 => 111101 => 000010
[7,6,1,2,3,4,5] => 110000 => 000011 => 111100
[7,6,1,2,3,5,4] => 110001 => 100011 => 011100
[7,6,1,2,4,3,5] => 110010 => 010011 => 101100
[7,6,1,2,4,5,3] => 110001 => 100011 => 011100
[7,6,1,2,5,3,4] => 110010 => 010011 => 101100
[7,6,1,2,5,4,3] => 110011 => 110011 => 001100
[7,6,1,3,2,4,5] => 110100 => 001011 => 110100
[7,6,1,3,2,5,4] => 110101 => 101011 => 010100
[7,6,1,3,4,2,5] => 110010 => 010011 => 101100
[7,6,1,3,4,5,2] => 110001 => 100011 => 011100
[7,6,1,3,5,2,4] => 110010 => 010011 => 101100
[7,6,1,3,5,4,2] => 110011 => 110011 => 001100
[7,6,1,4,2,3,5] => 110100 => 001011 => 110100
[7,6,1,4,2,5,3] => 110101 => 101011 => 010100
[7,6,1,4,3,2,5] => 110110 => 011011 => 100100
[7,6,1,4,3,5,2] => 110101 => 101011 => 010100
[7,6,1,4,5,2,3] => 110010 => 010011 => 101100
[7,6,1,4,5,3,2] => 110011 => 110011 => 001100
[7,6,1,5,2,3,4] => 110100 => 001011 => 110100
[7,6,1,5,2,4,3] => 110101 => 101011 => 010100
[7,6,1,5,3,2,4] => 110110 => 011011 => 100100
[7,6,1,5,3,4,2] => 110101 => 101011 => 010100
[7,6,1,5,4,2,3] => 110110 => 011011 => 100100
[7,6,1,5,4,3,2] => 110111 => 111011 => 000100
[7,6,2,1,3,4,5] => 111000 => 000111 => 111000
[7,6,2,1,3,5,4] => 111001 => 100111 => 011000
[7,6,2,1,4,3,5] => 111010 => 010111 => 101000
[7,6,2,1,4,5,3] => 111001 => 100111 => 011000
[7,6,2,1,5,3,4] => 111010 => 010111 => 101000
[7,6,2,1,5,4,3] => 111011 => 110111 => 001000
[7,6,2,3,1,4,5] => 110100 => 001011 => 110100
[7,6,2,3,1,5,4] => 110101 => 101011 => 010100
[7,6,2,3,4,1,5] => 110010 => 010011 => 101100
[7,6,2,3,4,5,1] => 110001 => 100011 => 011100
[7,6,2,3,5,1,4] => 110010 => 010011 => 101100
[7,6,2,3,5,4,1] => 110011 => 110011 => 001100
[7,6,2,4,1,3,5] => 110100 => 001011 => 110100
[7,6,2,4,1,5,3] => 110101 => 101011 => 010100
[7,6,2,4,3,1,5] => 110110 => 011011 => 100100
[7,6,2,4,3,5,1] => 110101 => 101011 => 010100
[7,6,2,4,5,1,3] => 110010 => 010011 => 101100
[7,6,2,4,5,3,1] => 110011 => 110011 => 001100
[7,6,2,5,1,3,4] => 110100 => 001011 => 110100
[7,6,2,5,1,4,3] => 110101 => 101011 => 010100
[7,6,2,5,3,1,4] => 110110 => 011011 => 100100
[7,6,2,5,3,4,1] => 110101 => 101011 => 010100
[7,6,2,5,4,1,3] => 110110 => 011011 => 100100
[7,6,2,5,4,3,1] => 110111 => 111011 => 000100
[7,6,3,1,2,4,5] => 111000 => 000111 => 111000
[7,6,3,1,2,5,4] => 111001 => 100111 => 011000
[7,6,3,1,4,2,5] => 111010 => 010111 => 101000
[7,6,3,1,4,5,2] => 111001 => 100111 => 011000
[7,6,3,1,5,2,4] => 111010 => 010111 => 101000
[7,6,3,1,5,4,2] => 111011 => 110111 => 001000
[7,6,3,2,1,4,5] => 111100 => 001111 => 110000
[7,6,3,2,1,5,4] => 111101 => 101111 => 010000
[7,6,3,2,4,1,5] => 111010 => 010111 => 101000
[7,6,3,2,4,5,1] => 111001 => 100111 => 011000
[7,6,3,2,5,1,4] => 111010 => 010111 => 101000
[7,6,3,2,5,4,1] => 111011 => 110111 => 001000
[7,6,3,4,1,2,5] => 110100 => 001011 => 110100
[7,6,3,4,1,5,2] => 110101 => 101011 => 010100
[7,6,3,4,2,1,5] => 110110 => 011011 => 100100
[7,6,3,4,2,5,1] => 110101 => 101011 => 010100
[7,6,3,4,5,1,2] => 110010 => 010011 => 101100
[7,6,3,4,5,2,1] => 110011 => 110011 => 001100
[7,6,3,5,1,2,4] => 110100 => 001011 => 110100
[7,6,3,5,1,4,2] => 110101 => 101011 => 010100
[7,6,3,5,2,1,4] => 110110 => 011011 => 100100
[7,6,3,5,2,4,1] => 110101 => 101011 => 010100
[7,6,3,5,4,1,2] => 110110 => 011011 => 100100
[7,6,3,5,4,2,1] => 110111 => 111011 => 000100
[7,6,4,1,2,3,5] => 111000 => 000111 => 111000
[7,6,4,1,2,5,3] => 111001 => 100111 => 011000
[7,6,4,1,3,2,5] => 111010 => 010111 => 101000
[7,6,4,1,3,5,2] => 111001 => 100111 => 011000
[7,6,4,1,5,2,3] => 111010 => 010111 => 101000
[7,6,4,1,5,3,2] => 111011 => 110111 => 001000
[7,6,4,2,1,3,5] => 111100 => 001111 => 110000
[7,6,4,2,1,5,3] => 111101 => 101111 => 010000
[7,6,4,2,3,1,5] => 111010 => 010111 => 101000
[7,6,4,2,3,5,1] => 111001 => 100111 => 011000
[7,6,4,2,5,1,3] => 111010 => 010111 => 101000
[7,6,4,2,5,3,1] => 111011 => 110111 => 001000
[7,6,4,3,1,2,5] => 111100 => 001111 => 110000
[7,6,4,3,1,5,2] => 111101 => 101111 => 010000
[7,6,4,3,2,1,5] => 111110 => 011111 => 100000
[7,6,4,3,2,5,1] => 111101 => 101111 => 010000
[7,6,4,3,5,1,2] => 111010 => 010111 => 101000
[7,6,4,3,5,2,1] => 111011 => 110111 => 001000
[7,6,4,5,1,2,3] => 110100 => 001011 => 110100
[7,6,4,5,1,3,2] => 110101 => 101011 => 010100
[7,6,4,5,2,1,3] => 110110 => 011011 => 100100
[7,6,4,5,2,3,1] => 110101 => 101011 => 010100
[7,6,4,5,3,1,2] => 110110 => 011011 => 100100
[7,6,4,5,3,2,1] => 110111 => 111011 => 000100
[7,6,5,1,2,3,4] => 111000 => 000111 => 111000
[7,6,5,1,2,4,3] => 111001 => 100111 => 011000
[7,6,5,1,3,2,4] => 111010 => 010111 => 101000
[7,6,5,1,3,4,2] => 111001 => 100111 => 011000
[7,6,5,1,4,2,3] => 111010 => 010111 => 101000
[7,6,5,1,4,3,2] => 111011 => 110111 => 001000
[7,6,5,2,1,3,4] => 111100 => 001111 => 110000
[7,6,5,2,1,4,3] => 111101 => 101111 => 010000
[7,6,5,2,3,1,4] => 111010 => 010111 => 101000
[7,6,5,2,3,4,1] => 111001 => 100111 => 011000
[7,6,5,2,4,1,3] => 111010 => 010111 => 101000
[7,6,5,2,4,3,1] => 111011 => 110111 => 001000
[7,6,5,3,1,2,4] => 111100 => 001111 => 110000
[7,6,5,3,1,4,2] => 111101 => 101111 => 010000
[7,6,5,3,2,1,4] => 111110 => 011111 => 100000
[7,6,5,3,2,4,1] => 111101 => 101111 => 010000
[7,6,5,3,4,1,2] => 111010 => 010111 => 101000
[7,6,5,3,4,2,1] => 111011 => 110111 => 001000
[7,6,5,4,1,2,3] => 111100 => 001111 => 110000
[7,6,5,4,1,3,2] => 111101 => 101111 => 010000
[7,6,5,4,2,1,3] => 111110 => 011111 => 100000
[7,6,5,4,2,3,1] => 111101 => 101111 => 010000
[7,6,5,4,3,1,2] => 111110 => 011111 => 100000
[7,6,5,4,3,2,1] => 111111 => 111111 => 000000
[8,7,6,5,4,3,2,1] => 1111111 => 1111111 => 0000000
[7,8,6,5,4,3,2,1] => 0111111 => 1111110 => 0000001
[8,6,7,5,4,3,2,1] => 1011111 => 1111101 => 0000010
[7,6,8,5,4,3,2,1] => 1011111 => 1111101 => 0000010
[6,7,8,5,4,3,2,1] => 0011111 => 1111100 => 0000011
[8,7,5,6,4,3,2,1] => 1101111 => 1111011 => 0000100
[7,8,5,6,4,3,2,1] => 0101111 => 1111010 => 0000101
[8,6,5,7,4,3,2,1] => 1101111 => 1111011 => 0000100
[8,5,6,7,4,3,2,1] => 1001111 => 1111001 => 0000110
[7,6,5,8,4,3,2,1] => 1101111 => 1111011 => 0000100
[6,7,5,8,4,3,2,1] => 0101111 => 1111010 => 0000101
[7,5,6,8,4,3,2,1] => 1001111 => 1111001 => 0000110
[6,5,7,8,4,3,2,1] => 1001111 => 1111001 => 0000110
[5,6,7,8,4,3,2,1] => 0001111 => 1111000 => 0000111
[8,7,6,4,5,3,2,1] => 1110111 => 1110111 => 0001000
[7,8,6,4,5,3,2,1] => 0110111 => 1110110 => 0001001
[8,6,7,4,5,3,2,1] => 1010111 => 1110101 => 0001010
[7,6,8,4,5,3,2,1] => 1010111 => 1110101 => 0001010
[8,7,5,4,6,3,2,1] => 1110111 => 1110111 => 0001000
[8,7,4,5,6,3,2,1] => 1100111 => 1110011 => 0001100
[8,6,5,4,7,3,2,1] => 1110111 => 1110111 => 0001000
[8,5,6,4,7,3,2,1] => 1010111 => 1110101 => 0001010
[8,6,4,5,7,3,2,1] => 1100111 => 1110011 => 0001100
[8,5,4,6,7,3,2,1] => 1100111 => 1110011 => 0001100
[8,4,5,6,7,3,2,1] => 1000111 => 1110001 => 0001110
[7,6,5,4,8,3,2,1] => 1110111 => 1110111 => 0001000
[6,7,5,4,8,3,2,1] => 0110111 => 1110110 => 0001001
[7,5,6,4,8,3,2,1] => 1010111 => 1110101 => 0001010
[6,5,7,4,8,3,2,1] => 1010111 => 1110101 => 0001010
[5,6,7,4,8,3,2,1] => 0010111 => 1110100 => 0001011
[7,6,4,5,8,3,2,1] => 1100111 => 1110011 => 0001100
[6,7,4,5,8,3,2,1] => 0100111 => 1110010 => 0001101
[7,5,4,6,8,3,2,1] => 1100111 => 1110011 => 0001100
[7,4,5,6,8,3,2,1] => 1000111 => 1110001 => 0001110
[6,5,4,7,8,3,2,1] => 1100111 => 1110011 => 0001100
[5,6,4,7,8,3,2,1] => 0100111 => 1110010 => 0001101
[6,4,5,7,8,3,2,1] => 1000111 => 1110001 => 0001110
[5,4,6,7,8,3,2,1] => 1000111 => 1110001 => 0001110
[4,5,6,7,8,3,2,1] => 0000111 => 1110000 => 0001111
[8,7,6,5,3,4,2,1] => 1111011 => 1101111 => 0010000
[7,8,6,5,3,4,2,1] => 0111011 => 1101110 => 0010001
[8,6,7,5,3,4,2,1] => 1011011 => 1101101 => 0010010
[7,6,8,5,3,4,2,1] => 1011011 => 1101101 => 0010010
[8,7,5,6,3,4,2,1] => 1101011 => 1101011 => 0010100
[7,8,5,6,3,4,2,1] => 0101011 => 1101010 => 0010101
[8,5,6,7,3,4,2,1] => 1001011 => 1101001 => 0010110
[7,6,5,8,3,4,2,1] => 1101011 => 1101011 => 0010100
[6,7,5,8,3,4,2,1] => 0101011 => 1101010 => 0010101
[6,5,7,8,3,4,2,1] => 1001011 => 1101001 => 0010110
[5,6,7,8,3,4,2,1] => 0001011 => 1101000 => 0010111
[8,7,6,4,3,5,2,1] => 1111011 => 1101111 => 0010000
[7,8,6,4,3,5,2,1] => 0111011 => 1101110 => 0010001
[8,6,7,4,3,5,2,1] => 1011011 => 1101101 => 0010010
[7,6,8,4,3,5,2,1] => 1011011 => 1101101 => 0010010
[6,7,8,4,3,5,2,1] => 0011011 => 1101100 => 0010011
[8,7,6,3,4,5,2,1] => 1110011 => 1100111 => 0011000
[7,8,6,3,4,5,2,1] => 0110011 => 1100110 => 0011001
[8,6,7,3,4,5,2,1] => 1010011 => 1100101 => 0011010
[7,6,8,3,4,5,2,1] => 1010011 => 1100101 => 0011010
[6,7,8,3,4,5,2,1] => 0010011 => 1100100 => 0011011
[8,7,5,4,3,6,2,1] => 1111011 => 1101111 => 0010000
[7,8,5,4,3,6,2,1] => 0111011 => 1101110 => 0010001
[8,7,4,5,3,6,2,1] => 1101011 => 1101011 => 0010100
[8,7,5,3,4,6,2,1] => 1110011 => 1100111 => 0011000
[7,8,5,3,4,6,2,1] => 0110011 => 1100110 => 0011001
[8,7,4,3,5,6,2,1] => 1110011 => 1100111 => 0011000
[8,7,3,4,5,6,2,1] => 1100011 => 1100011 => 0011100
[7,8,3,4,5,6,2,1] => 0100011 => 1100010 => 0011101
[8,6,5,4,3,7,2,1] => 1111011 => 1101111 => 0010000
[8,6,4,5,3,7,2,1] => 1101011 => 1101011 => 0010100
[8,6,4,3,5,7,2,1] => 1110011 => 1100111 => 0011000
[8,5,4,3,6,7,2,1] => 1110011 => 1100111 => 0011000
[8,5,3,4,6,7,2,1] => 1100011 => 1100011 => 0011100
[8,4,3,5,6,7,2,1] => 1100011 => 1100011 => 0011100
[8,3,4,5,6,7,2,1] => 1000011 => 1100001 => 0011110
[7,6,5,4,3,8,2,1] => 1111011 => 1101111 => 0010000
[6,7,5,4,3,8,2,1] => 0111011 => 1101110 => 0010001
[7,5,6,4,3,8,2,1] => 1011011 => 1101101 => 0010010
[6,5,7,4,3,8,2,1] => 1011011 => 1101101 => 0010010
[5,6,7,4,3,8,2,1] => 0011011 => 1101100 => 0010011
[6,7,4,5,3,8,2,1] => 0101011 => 1101010 => 0010101
[7,5,4,6,3,8,2,1] => 1101011 => 1101011 => 0010100
[7,4,5,6,3,8,2,1] => 1001011 => 1101001 => 0010110
[6,5,4,7,3,8,2,1] => 1101011 => 1101011 => 0010100
[6,4,5,7,3,8,2,1] => 1001011 => 1101001 => 0010110
[5,4,6,7,3,8,2,1] => 1001011 => 1101001 => 0010110
[4,5,6,7,3,8,2,1] => 0001011 => 1101000 => 0010111
[7,6,5,3,4,8,2,1] => 1110011 => 1100111 => 0011000
[7,6,4,3,5,8,2,1] => 1110011 => 1100111 => 0011000
[7,6,3,4,5,8,2,1] => 1100011 => 1100011 => 0011100
[7,5,4,3,6,8,2,1] => 1110011 => 1100111 => 0011000
[7,5,3,4,6,8,2,1] => 1100011 => 1100011 => 0011100
[7,3,4,5,6,8,2,1] => 1000011 => 1100001 => 0011110
[6,5,4,3,7,8,2,1] => 1110011 => 1100111 => 0011000
[4,5,6,3,7,8,2,1] => 0010011 => 1100100 => 0011011
[6,5,3,4,7,8,2,1] => 1100011 => 1100011 => 0011100
[6,3,4,5,7,8,2,1] => 1000011 => 1100001 => 0011110
[5,4,3,6,7,8,2,1] => 1100011 => 1100011 => 0011100
[5,3,4,6,7,8,2,1] => 1000011 => 1100001 => 0011110
[4,3,5,6,7,8,2,1] => 1000011 => 1100001 => 0011110
[3,4,5,6,7,8,2,1] => 0000011 => 1100000 => 0011111
[8,7,6,5,4,2,3,1] => 1111101 => 1011111 => 0100000
[7,8,6,5,4,2,3,1] => 0111101 => 1011110 => 0100001
[8,6,7,5,4,2,3,1] => 1011101 => 1011101 => 0100010
[7,6,8,5,4,2,3,1] => 1011101 => 1011101 => 0100010
[8,7,5,6,4,2,3,1] => 1101101 => 1011011 => 0100100
[8,6,5,7,4,2,3,1] => 1101101 => 1011011 => 0100100
[8,5,6,7,4,2,3,1] => 1001101 => 1011001 => 0100110
[7,6,5,8,4,2,3,1] => 1101101 => 1011011 => 0100100
[6,7,5,8,4,2,3,1] => 0101101 => 1011010 => 0100101
[7,5,6,8,4,2,3,1] => 1001101 => 1011001 => 0100110
[5,6,7,8,4,2,3,1] => 0001101 => 1011000 => 0100111
[8,7,6,4,5,2,3,1] => 1110101 => 1010111 => 0101000
[8,6,7,4,5,2,3,1] => 1010101 => 1010101 => 0101010
[7,6,8,4,5,2,3,1] => 1010101 => 1010101 => 0101010
[8,7,5,4,6,2,3,1] => 1110101 => 1010111 => 0101000
[8,7,4,5,6,2,3,1] => 1100101 => 1010011 => 0101100
[7,8,4,5,6,2,3,1] => 0100101 => 1010010 => 0101101
[8,6,5,4,7,2,3,1] => 1110101 => 1010111 => 0101000
[8,5,6,4,7,2,3,1] => 1010101 => 1010101 => 0101010
[8,6,4,5,7,2,3,1] => 1100101 => 1010011 => 0101100
[8,4,5,6,7,2,3,1] => 1000101 => 1010001 => 0101110
[7,6,5,4,8,2,3,1] => 1110101 => 1010111 => 0101000
[7,5,6,4,8,2,3,1] => 1010101 => 1010101 => 0101010
[6,5,7,4,8,2,3,1] => 1010101 => 1010101 => 0101010
[6,7,4,5,8,2,3,1] => 0100101 => 1010010 => 0101101
[4,5,6,7,8,2,3,1] => 0000101 => 1010000 => 0101111
[8,7,6,5,3,2,4,1] => 1111101 => 1011111 => 0100000
[7,8,6,5,3,2,4,1] => 0111101 => 1011110 => 0100001
[8,6,7,5,3,2,4,1] => 1011101 => 1011101 => 0100010
[7,6,8,5,3,2,4,1] => 1011101 => 1011101 => 0100010
[6,7,8,5,3,2,4,1] => 0011101 => 1011100 => 0100011
[8,7,5,6,3,2,4,1] => 1101101 => 1011011 => 0100100
[8,6,5,7,3,2,4,1] => 1101101 => 1011011 => 0100100
[8,5,6,7,3,2,4,1] => 1001101 => 1011001 => 0100110
[7,6,5,8,3,2,4,1] => 1101101 => 1011011 => 0100100
[6,7,5,8,3,2,4,1] => 0101101 => 1011010 => 0100101
[5,6,7,8,3,2,4,1] => 0001101 => 1011000 => 0100111
[8,7,6,5,2,3,4,1] => 1111001 => 1001111 => 0110000
[8,6,7,5,2,3,4,1] => 1011001 => 1001101 => 0110010
[7,6,8,5,2,3,4,1] => 1011001 => 1001101 => 0110010
[6,7,8,5,2,3,4,1] => 0011001 => 1001100 => 0110011
[8,7,5,6,2,3,4,1] => 1101001 => 1001011 => 0110100
[7,8,5,6,2,3,4,1] => 0101001 => 1001010 => 0110101
[8,6,5,7,2,3,4,1] => 1101001 => 1001011 => 0110100
[8,5,6,7,2,3,4,1] => 1001001 => 1001001 => 0110110
[7,6,5,8,2,3,4,1] => 1101001 => 1001011 => 0110100
[6,7,5,8,2,3,4,1] => 0101001 => 1001010 => 0110101
[6,5,7,8,2,3,4,1] => 1001001 => 1001001 => 0110110
[5,6,7,8,2,3,4,1] => 0001001 => 1001000 => 0110111
[8,7,6,4,3,2,5,1] => 1111101 => 1011111 => 0100000
[7,8,6,4,3,2,5,1] => 0111101 => 1011110 => 0100001
[8,6,7,4,3,2,5,1] => 1011101 => 1011101 => 0100010
[7,6,8,4,3,2,5,1] => 1011101 => 1011101 => 0100010
[6,7,8,4,3,2,5,1] => 0011101 => 1011100 => 0100011
[8,7,6,3,4,2,5,1] => 1110101 => 1010111 => 0101000
[7,8,6,3,4,2,5,1] => 0110101 => 1010110 => 0101001
[8,6,7,3,4,2,5,1] => 1010101 => 1010101 => 0101010
[7,6,8,3,4,2,5,1] => 1010101 => 1010101 => 0101010
[6,7,8,3,4,2,5,1] => 0010101 => 1010100 => 0101011
[8,7,6,4,2,3,5,1] => 1111001 => 1001111 => 0110000
[8,6,7,4,2,3,5,1] => 1011001 => 1001101 => 0110010
[7,6,8,4,2,3,5,1] => 1011001 => 1001101 => 0110010
[6,7,8,4,2,3,5,1] => 0011001 => 1001100 => 0110011
[8,7,6,3,2,4,5,1] => 1111001 => 1001111 => 0110000
[7,8,6,3,2,4,5,1] => 0111001 => 1001110 => 0110001
[8,6,7,3,2,4,5,1] => 1011001 => 1001101 => 0110010
[6,7,8,3,2,4,5,1] => 0011001 => 1001100 => 0110011
[8,7,6,2,3,4,5,1] => 1110001 => 1000111 => 0111000
[7,8,6,2,3,4,5,1] => 0110001 => 1000110 => 0111001
[8,6,7,2,3,4,5,1] => 1010001 => 1000101 => 0111010
[7,6,8,2,3,4,5,1] => 1010001 => 1000101 => 0111010
[6,7,8,2,3,4,5,1] => 0010001 => 1000100 => 0111011
[8,7,5,4,3,2,6,1] => 1111101 => 1011111 => 0100000
[7,8,5,4,3,2,6,1] => 0111101 => 1011110 => 0100001
[8,7,5,3,4,2,6,1] => 1110101 => 1010111 => 0101000
[7,8,5,3,4,2,6,1] => 0110101 => 1010110 => 0101001
[8,7,4,3,5,2,6,1] => 1110101 => 1010111 => 0101000
[8,7,5,3,2,4,6,1] => 1111001 => 1001111 => 0110000
[8,7,4,3,2,5,6,1] => 1111001 => 1001111 => 0110000
[7,8,4,3,2,5,6,1] => 0111001 => 1001110 => 0110001
[7,8,3,4,2,5,6,1] => 0101001 => 1001010 => 0110101
[7,8,4,2,3,5,6,1] => 0110001 => 1000110 => 0111001
[7,8,3,2,4,5,6,1] => 0110001 => 1000110 => 0111001
[8,7,2,3,4,5,6,1] => 1100001 => 1000011 => 0111100
[7,8,2,3,4,5,6,1] => 0100001 => 1000010 => 0111101
[8,6,5,4,3,2,7,1] => 1111101 => 1011111 => 0100000
[8,5,6,4,3,2,7,1] => 1011101 => 1011101 => 0100010
[8,6,4,5,3,2,7,1] => 1101101 => 1011011 => 0100100
[8,5,4,6,3,2,7,1] => 1101101 => 1011011 => 0100100
[8,6,5,3,4,2,7,1] => 1110101 => 1010111 => 0101000
[8,5,6,3,4,2,7,1] => 1010101 => 1010101 => 0101010
[8,6,4,3,5,2,7,1] => 1110101 => 1010111 => 0101000
[8,6,3,4,5,2,7,1] => 1100101 => 1010011 => 0101100
[8,5,4,3,6,2,7,1] => 1110101 => 1010111 => 0101000
[8,4,5,3,6,2,7,1] => 1010101 => 1010101 => 0101010
[8,4,3,5,6,2,7,1] => 1100101 => 1010011 => 0101100
[8,3,4,5,6,2,7,1] => 1000101 => 1010001 => 0101110
[8,6,5,4,2,3,7,1] => 1111001 => 1001111 => 0110000
[8,5,6,4,2,3,7,1] => 1011001 => 1001101 => 0110010
[8,6,4,5,2,3,7,1] => 1101001 => 1001011 => 0110100
[8,6,5,3,2,4,7,1] => 1111001 => 1001111 => 0110000
[8,6,4,3,2,5,7,1] => 1111001 => 1001111 => 0110000
[8,6,4,2,3,5,7,1] => 1110001 => 1000111 => 0111000
[8,6,2,3,4,5,7,1] => 1100001 => 1000011 => 0111100
[8,5,4,3,2,6,7,1] => 1111001 => 1001111 => 0110000
[8,4,5,3,2,6,7,1] => 1011001 => 1001101 => 0110010
[8,5,3,4,2,6,7,1] => 1101001 => 1001011 => 0110100
[8,3,4,5,2,6,7,1] => 1001001 => 1001001 => 0110110
[8,5,4,2,3,6,7,1] => 1110001 => 1000111 => 0111000
[8,4,5,2,3,6,7,1] => 1010001 => 1000101 => 0111010
[8,5,2,3,4,6,7,1] => 1100001 => 1000011 => 0111100
[8,4,3,2,5,6,7,1] => 1110001 => 1000111 => 0111000
[8,3,4,2,5,6,7,1] => 1010001 => 1000101 => 0111010
[8,4,2,3,5,6,7,1] => 1100001 => 1000011 => 0111100
[8,3,2,4,5,6,7,1] => 1100001 => 1000011 => 0111100
[8,2,3,4,5,6,7,1] => 1000001 => 1000001 => 0111110
[7,6,5,4,3,2,8,1] => 1111101 => 1011111 => 0100000
[6,7,5,4,3,2,8,1] => 0111101 => 1011110 => 0100001
[7,5,6,4,3,2,8,1] => 1011101 => 1011101 => 0100010
[6,5,7,4,3,2,8,1] => 1011101 => 1011101 => 0100010
[5,6,7,4,3,2,8,1] => 0011101 => 1011100 => 0100011
[7,6,4,5,3,2,8,1] => 1101101 => 1011011 => 0100100
[6,7,4,5,3,2,8,1] => 0101101 => 1011010 => 0100101
[7,4,5,6,3,2,8,1] => 1001101 => 1011001 => 0100110
[6,5,4,7,3,2,8,1] => 1101101 => 1011011 => 0100100
[6,4,5,7,3,2,8,1] => 1001101 => 1011001 => 0100110
[4,5,6,7,3,2,8,1] => 0001101 => 1011000 => 0100111
[7,6,5,3,4,2,8,1] => 1110101 => 1010111 => 0101000
[7,5,6,3,4,2,8,1] => 1010101 => 1010101 => 0101010
[6,5,7,3,4,2,8,1] => 1010101 => 1010101 => 0101010
[5,6,7,3,4,2,8,1] => 0010101 => 1010100 => 0101011
[7,6,4,3,5,2,8,1] => 1110101 => 1010111 => 0101000
[7,6,3,4,5,2,8,1] => 1100101 => 1010011 => 0101100
[7,5,4,3,6,2,8,1] => 1110101 => 1010111 => 0101000
[7,4,5,3,6,2,8,1] => 1010101 => 1010101 => 0101010
[7,5,3,4,6,2,8,1] => 1100101 => 1010011 => 0101100
[7,3,4,5,6,2,8,1] => 1000101 => 1010001 => 0101110
[6,5,4,3,7,2,8,1] => 1110101 => 1010111 => 0101000
[6,4,5,3,7,2,8,1] => 1010101 => 1010101 => 0101010
[5,4,6,3,7,2,8,1] => 1010101 => 1010101 => 0101010
[4,5,6,3,7,2,8,1] => 0010101 => 1010100 => 0101011
[6,5,3,4,7,2,8,1] => 1100101 => 1010011 => 0101100
[5,6,3,4,7,2,8,1] => 0100101 => 1010010 => 0101101
[6,4,3,5,7,2,8,1] => 1100101 => 1010011 => 0101100
[6,3,4,5,7,2,8,1] => 1000101 => 1010001 => 0101110
[5,4,3,6,7,2,8,1] => 1100101 => 1010011 => 0101100
[4,5,3,6,7,2,8,1] => 0100101 => 1010010 => 0101101
[4,3,5,6,7,2,8,1] => 1000101 => 1010001 => 0101110
[3,4,5,6,7,2,8,1] => 0000101 => 1010000 => 0101111
[7,6,5,4,2,3,8,1] => 1111001 => 1001111 => 0110000
[6,7,5,4,2,3,8,1] => 0111001 => 1001110 => 0110001
[7,5,6,4,2,3,8,1] => 1011001 => 1001101 => 0110010
[6,5,7,4,2,3,8,1] => 1011001 => 1001101 => 0110010
[5,6,7,4,2,3,8,1] => 0011001 => 1001100 => 0110011
[7,6,4,5,2,3,8,1] => 1101001 => 1001011 => 0110100
[6,7,4,5,2,3,8,1] => 0101001 => 1001010 => 0110101
[7,5,4,6,2,3,8,1] => 1101001 => 1001011 => 0110100
[7,4,5,6,2,3,8,1] => 1001001 => 1001001 => 0110110
[6,5,4,7,2,3,8,1] => 1101001 => 1001011 => 0110100
[5,6,4,7,2,3,8,1] => 0101001 => 1001010 => 0110101
[6,4,5,7,2,3,8,1] => 1001001 => 1001001 => 0110110
[5,4,6,7,2,3,8,1] => 1001001 => 1001001 => 0110110
[4,5,6,7,2,3,8,1] => 0001001 => 1001000 => 0110111
[7,6,5,3,2,4,8,1] => 1111001 => 1001111 => 0110000
[6,7,5,3,2,4,8,1] => 0111001 => 1001110 => 0110001
[6,5,7,3,2,4,8,1] => 1011001 => 1001101 => 0110010
[7,6,5,2,3,4,8,1] => 1110001 => 1000111 => 0111000
[7,5,6,2,3,4,8,1] => 1010001 => 1000101 => 0111010
[5,6,7,2,3,4,8,1] => 0010001 => 1000100 => 0111011
[6,7,4,3,2,5,8,1] => 0111001 => 1001110 => 0110001
[7,6,4,2,3,5,8,1] => 1110001 => 1000111 => 0111000
[7,6,3,2,4,5,8,1] => 1110001 => 1000111 => 0111000
[6,7,3,2,4,5,8,1] => 0110001 => 1000110 => 0111001
[7,6,2,3,4,5,8,1] => 1100001 => 1000011 => 0111100
[6,7,2,3,4,5,8,1] => 0100001 => 1000010 => 0111101
[7,5,4,3,2,6,8,1] => 1111001 => 1001111 => 0110000
[7,4,3,5,2,6,8,1] => 1101001 => 1001011 => 0110100
[7,5,4,2,3,6,8,1] => 1110001 => 1000111 => 0111000
[7,4,5,2,3,6,8,1] => 1010001 => 1000101 => 0111010
[7,5,3,2,4,6,8,1] => 1110001 => 1000111 => 0111000
[7,5,2,3,4,6,8,1] => 1100001 => 1000011 => 0111100
[7,4,3,2,5,6,8,1] => 1110001 => 1000111 => 0111000
[7,4,2,3,5,6,8,1] => 1100001 => 1000011 => 0111100
[7,3,2,4,5,6,8,1] => 1100001 => 1000011 => 0111100
[7,2,3,4,5,6,8,1] => 1000001 => 1000001 => 0111110
[6,5,4,3,2,7,8,1] => 1111001 => 1001111 => 0110000
[5,4,6,3,2,7,8,1] => 1011001 => 1001101 => 0110010
[4,5,6,3,2,7,8,1] => 0011001 => 1001100 => 0110011
[6,5,3,4,2,7,8,1] => 1101001 => 1001011 => 0110100
[6,3,4,5,2,7,8,1] => 1001001 => 1001001 => 0110110
[5,4,3,6,2,7,8,1] => 1101001 => 1001011 => 0110100
[4,3,5,6,2,7,8,1] => 1001001 => 1001001 => 0110110
[3,4,5,6,2,7,8,1] => 0001001 => 1001000 => 0110111
[6,5,4,2,3,7,8,1] => 1110001 => 1000111 => 0111000
[5,6,4,2,3,7,8,1] => 0110001 => 1000110 => 0111001
[6,4,5,2,3,7,8,1] => 1010001 => 1000101 => 0111010
[5,4,6,2,3,7,8,1] => 1010001 => 1000101 => 0111010
[4,5,6,2,3,7,8,1] => 0010001 => 1000100 => 0111011
[6,5,3,2,4,7,8,1] => 1110001 => 1000111 => 0111000
[6,5,2,3,4,7,8,1] => 1100001 => 1000011 => 0111100
[6,2,3,4,5,7,8,1] => 1000001 => 1000001 => 0111110
[5,4,3,2,6,7,8,1] => 1110001 => 1000111 => 0111000
[4,5,3,2,6,7,8,1] => 0110001 => 1000110 => 0111001
[5,3,4,2,6,7,8,1] => 1010001 => 1000101 => 0111010
[4,3,5,2,6,7,8,1] => 1010001 => 1000101 => 0111010
[3,4,5,2,6,7,8,1] => 0010001 => 1000100 => 0111011
[5,4,2,3,6,7,8,1] => 1100001 => 1000011 => 0111100
[4,5,2,3,6,7,8,1] => 0100001 => 1000010 => 0111101
[5,3,2,4,6,7,8,1] => 1100001 => 1000011 => 0111100
[5,2,3,4,6,7,8,1] => 1000001 => 1000001 => 0111110
[4,3,2,5,6,7,8,1] => 1100001 => 1000011 => 0111100
[3,4,2,5,6,7,8,1] => 0100001 => 1000010 => 0111101
[4,2,3,5,6,7,8,1] => 1000001 => 1000001 => 0111110
[3,2,4,5,6,7,8,1] => 1000001 => 1000001 => 0111110
[2,3,4,5,6,7,8,1] => 0000001 => 1000000 => 0111111
[8,7,6,5,4,3,1,2] => 1111110 => 0111111 => 1000000
[7,8,6,5,4,3,1,2] => 0111110 => 0111110 => 1000001
[8,6,7,5,4,3,1,2] => 1011110 => 0111101 => 1000010
[7,6,8,5,4,3,1,2] => 1011110 => 0111101 => 1000010
[6,7,8,5,4,3,1,2] => 0011110 => 0111100 => 1000011
[8,7,5,6,4,3,1,2] => 1101110 => 0111011 => 1000100
[7,8,5,6,4,3,1,2] => 0101110 => 0111010 => 1000101
[8,6,5,7,4,3,1,2] => 1101110 => 0111011 => 1000100
[7,6,5,8,4,3,1,2] => 1101110 => 0111011 => 1000100
[6,7,5,8,4,3,1,2] => 0101110 => 0111010 => 1000101
[7,5,6,8,4,3,1,2] => 1001110 => 0111001 => 1000110
[6,5,7,8,4,3,1,2] => 1001110 => 0111001 => 1000110
[5,6,7,8,4,3,1,2] => 0001110 => 0111000 => 1000111
[8,7,6,4,5,3,1,2] => 1110110 => 0110111 => 1001000
[7,8,6,4,5,3,1,2] => 0110110 => 0110110 => 1001001
[8,6,7,4,5,3,1,2] => 1010110 => 0110101 => 1001010
[6,7,8,4,5,3,1,2] => 0010110 => 0110100 => 1001011
[8,7,5,4,6,3,1,2] => 1110110 => 0110111 => 1001000
[8,5,6,4,7,3,1,2] => 1010110 => 0110101 => 1001010
[8,6,4,5,7,3,1,2] => 1100110 => 0110011 => 1001100
[8,5,4,6,7,3,1,2] => 1100110 => 0110011 => 1001100
[7,6,5,4,8,3,1,2] => 1110110 => 0110111 => 1001000
[7,5,6,4,8,3,1,2] => 1010110 => 0110101 => 1001010
[6,5,7,4,8,3,1,2] => 1010110 => 0110101 => 1001010
[7,6,4,5,8,3,1,2] => 1100110 => 0110011 => 1001100
[6,7,4,5,8,3,1,2] => 0100110 => 0110010 => 1001101
[6,5,4,7,8,3,1,2] => 1100110 => 0110011 => 1001100
[5,6,4,7,8,3,1,2] => 0100110 => 0110010 => 1001101
[5,4,6,7,8,3,1,2] => 1000110 => 0110001 => 1001110
[4,5,6,7,8,3,1,2] => 0000110 => 0110000 => 1001111
[8,7,6,5,3,4,1,2] => 1111010 => 0101111 => 1010000
[7,8,6,5,3,4,1,2] => 0111010 => 0101110 => 1010001
[7,6,8,5,3,4,1,2] => 1011010 => 0101101 => 1010010
[6,7,8,5,3,4,1,2] => 0011010 => 0101100 => 1010011
[8,7,5,6,3,4,1,2] => 1101010 => 0101011 => 1010100
[7,8,5,6,3,4,1,2] => 0101010 => 0101010 => 1010101
[8,6,5,7,3,4,1,2] => 1101010 => 0101011 => 1010100
[8,5,6,7,3,4,1,2] => 1001010 => 0101001 => 1010110
[7,6,5,8,3,4,1,2] => 1101010 => 0101011 => 1010100
[6,7,5,8,3,4,1,2] => 0101010 => 0101010 => 1010101
[7,5,6,8,3,4,1,2] => 1001010 => 0101001 => 1010110
[6,5,7,8,3,4,1,2] => 1001010 => 0101001 => 1010110
[5,6,7,8,3,4,1,2] => 0001010 => 0101000 => 1010111
[6,7,8,4,3,5,1,2] => 0011010 => 0101100 => 1010011
[8,7,6,3,4,5,1,2] => 1110010 => 0100111 => 1011000
[8,6,7,3,4,5,1,2] => 1010010 => 0100101 => 1011010
[7,8,5,4,3,6,1,2] => 0111010 => 0101110 => 1010001
[8,7,4,5,3,6,1,2] => 1101010 => 0101011 => 1010100
[7,8,4,5,3,6,1,2] => 0101010 => 0101010 => 1010101
[7,8,5,3,4,6,1,2] => 0110010 => 0100110 => 1011001
[8,7,4,3,5,6,1,2] => 1110010 => 0100111 => 1011000
[7,8,4,3,5,6,1,2] => 0110010 => 0100110 => 1011001
[8,7,3,4,5,6,1,2] => 1100010 => 0100011 => 1011100
[7,8,3,4,5,6,1,2] => 0100010 => 0100010 => 1011101
[8,6,5,4,3,7,1,2] => 1111010 => 0101111 => 1010000
[8,5,4,3,6,7,1,2] => 1110010 => 0100111 => 1011000
[8,5,3,4,6,7,1,2] => 1100010 => 0100011 => 1011100
[8,4,3,5,6,7,1,2] => 1100010 => 0100011 => 1011100
[8,3,4,5,6,7,1,2] => 1000010 => 0100001 => 1011110
[7,6,5,4,3,8,1,2] => 1111010 => 0101111 => 1010000
[7,5,6,4,3,8,1,2] => 1011010 => 0101101 => 1010010
[6,5,7,4,3,8,1,2] => 1011010 => 0101101 => 1010010
[5,6,7,4,3,8,1,2] => 0011010 => 0101100 => 1010011
[6,7,4,5,3,8,1,2] => 0101010 => 0101010 => 1010101
[5,6,4,7,3,8,1,2] => 0101010 => 0101010 => 1010101
[5,4,6,7,3,8,1,2] => 1001010 => 0101001 => 1010110
[4,5,6,7,3,8,1,2] => 0001010 => 0101000 => 1010111
[7,6,5,3,4,8,1,2] => 1110010 => 0100111 => 1011000
[7,5,6,3,4,8,1,2] => 1010010 => 0100101 => 1011010
[5,6,7,3,4,8,1,2] => 0010010 => 0100100 => 1011011
[7,6,4,3,5,8,1,2] => 1110010 => 0100111 => 1011000
[7,6,3,4,5,8,1,2] => 1100010 => 0100011 => 1011100
[7,5,4,3,6,8,1,2] => 1110010 => 0100111 => 1011000
[7,5,3,4,6,8,1,2] => 1100010 => 0100011 => 1011100
[7,3,4,5,6,8,1,2] => 1000010 => 0100001 => 1011110
[6,5,4,3,7,8,1,2] => 1110010 => 0100111 => 1011000
[5,6,4,3,7,8,1,2] => 0110010 => 0100110 => 1011001
[5,4,6,3,7,8,1,2] => 1010010 => 0100101 => 1011010
[4,5,6,3,7,8,1,2] => 0010010 => 0100100 => 1011011
[6,5,3,4,7,8,1,2] => 1100010 => 0100011 => 1011100
[5,6,3,4,7,8,1,2] => 0100010 => 0100010 => 1011101
[6,4,3,5,7,8,1,2] => 1100010 => 0100011 => 1011100
[6,3,4,5,7,8,1,2] => 1000010 => 0100001 => 1011110
[5,4,3,6,7,8,1,2] => 1100010 => 0100011 => 1011100
[4,5,3,6,7,8,1,2] => 0100010 => 0100010 => 1011101
[5,3,4,6,7,8,1,2] => 1000010 => 0100001 => 1011110
[4,3,5,6,7,8,1,2] => 1000010 => 0100001 => 1011110
[3,4,5,6,7,8,1,2] => 0000010 => 0100000 => 1011111
[8,7,6,5,4,2,1,3] => 1111110 => 0111111 => 1000000
[7,8,6,5,4,2,1,3] => 0111110 => 0111110 => 1000001
[8,6,7,5,4,2,1,3] => 1011110 => 0111101 => 1000010
[7,6,8,5,4,2,1,3] => 1011110 => 0111101 => 1000010
[6,7,8,5,4,2,1,3] => 0011110 => 0111100 => 1000011
[8,7,5,6,4,2,1,3] => 1101110 => 0111011 => 1000100
[7,8,5,6,4,2,1,3] => 0101110 => 0111010 => 1000101
[8,6,5,7,4,2,1,3] => 1101110 => 0111011 => 1000100
[7,6,5,8,4,2,1,3] => 1101110 => 0111011 => 1000100
[6,7,5,8,4,2,1,3] => 0101110 => 0111010 => 1000101
[7,5,6,8,4,2,1,3] => 1001110 => 0111001 => 1000110
[6,5,7,8,4,2,1,3] => 1001110 => 0111001 => 1000110
[5,6,7,8,4,2,1,3] => 0001110 => 0111000 => 1000111
[8,7,6,4,5,2,1,3] => 1110110 => 0110111 => 1001000
[8,6,7,4,5,2,1,3] => 1010110 => 0110101 => 1001010
[7,6,8,4,5,2,1,3] => 1010110 => 0110101 => 1001010
[8,7,4,5,6,2,1,3] => 1100110 => 0110011 => 1001100
[8,6,5,4,7,2,1,3] => 1110110 => 0110111 => 1001000
[8,6,4,5,7,2,1,3] => 1100110 => 0110011 => 1001100
[8,4,5,6,7,2,1,3] => 1000110 => 0110001 => 1001110
[7,6,5,4,8,2,1,3] => 1110110 => 0110111 => 1001000
[6,7,5,4,8,2,1,3] => 0110110 => 0110110 => 1001001
[7,5,6,4,8,2,1,3] => 1010110 => 0110101 => 1001010
[6,5,7,4,8,2,1,3] => 1010110 => 0110101 => 1001010
[5,6,7,4,8,2,1,3] => 0010110 => 0110100 => 1001011
[7,6,4,5,8,2,1,3] => 1100110 => 0110011 => 1001100
[7,4,5,6,8,2,1,3] => 1000110 => 0110001 => 1001110
[5,4,6,7,8,2,1,3] => 1000110 => 0110001 => 1001110
[4,5,6,7,8,2,1,3] => 0000110 => 0110000 => 1001111
[8,7,6,5,4,1,2,3] => 1111100 => 0011111 => 1100000
[7,8,6,5,4,1,2,3] => 0111100 => 0011110 => 1100001
[7,6,8,5,4,1,2,3] => 1011100 => 0011101 => 1100010
[6,7,8,5,4,1,2,3] => 0011100 => 0011100 => 1100011
[7,8,5,6,4,1,2,3] => 0101100 => 0011010 => 1100101
[8,6,5,7,4,1,2,3] => 1101100 => 0011011 => 1100100
[8,5,6,7,4,1,2,3] => 1001100 => 0011001 => 1100110
[7,6,5,8,4,1,2,3] => 1101100 => 0011011 => 1100100
[6,7,5,8,4,1,2,3] => 0101100 => 0011010 => 1100101
[7,5,6,8,4,1,2,3] => 1001100 => 0011001 => 1100110
[6,5,7,8,4,1,2,3] => 1001100 => 0011001 => 1100110
[5,6,7,8,4,1,2,3] => 0001100 => 0011000 => 1100111
[8,7,6,4,5,1,2,3] => 1110100 => 0010111 => 1101000
[8,6,7,4,5,1,2,3] => 1010100 => 0010101 => 1101010
[6,7,8,4,5,1,2,3] => 0010100 => 0010100 => 1101011
[8,7,5,4,6,1,2,3] => 1110100 => 0010111 => 1101000
[7,8,5,4,6,1,2,3] => 0110100 => 0010110 => 1101001
[8,7,4,5,6,1,2,3] => 1100100 => 0010011 => 1101100
[7,8,4,5,6,1,2,3] => 0100100 => 0010010 => 1101101
[8,5,6,4,7,1,2,3] => 1010100 => 0010101 => 1101010
[8,6,4,5,7,1,2,3] => 1100100 => 0010011 => 1101100
[8,5,4,6,7,1,2,3] => 1100100 => 0010011 => 1101100
[8,4,5,6,7,1,2,3] => 1000100 => 0010001 => 1101110
[7,6,5,4,8,1,2,3] => 1110100 => 0010111 => 1101000
[6,7,5,4,8,1,2,3] => 0110100 => 0010110 => 1101001
[7,5,6,4,8,1,2,3] => 1010100 => 0010101 => 1101010
[6,5,7,4,8,1,2,3] => 1010100 => 0010101 => 1101010
[5,6,7,4,8,1,2,3] => 0010100 => 0010100 => 1101011
[7,6,4,5,8,1,2,3] => 1100100 => 0010011 => 1101100
[6,7,4,5,8,1,2,3] => 0100100 => 0010010 => 1101101
[7,5,4,6,8,1,2,3] => 1100100 => 0010011 => 1101100
[7,4,5,6,8,1,2,3] => 1000100 => 0010001 => 1101110
[6,5,4,7,8,1,2,3] => 1100100 => 0010011 => 1101100
[5,6,4,7,8,1,2,3] => 0100100 => 0010010 => 1101101
[6,4,5,7,8,1,2,3] => 1000100 => 0010001 => 1101110
[5,4,6,7,8,1,2,3] => 1000100 => 0010001 => 1101110
[4,5,6,7,8,1,2,3] => 0000100 => 0010000 => 1101111
[8,7,6,5,3,2,1,4] => 1111110 => 0111111 => 1000000
[7,8,6,5,3,2,1,4] => 0111110 => 0111110 => 1000001
[8,6,7,5,3,2,1,4] => 1011110 => 0111101 => 1000010
[7,6,8,5,3,2,1,4] => 1011110 => 0111101 => 1000010
[6,7,8,5,3,2,1,4] => 0011110 => 0111100 => 1000011
[8,7,5,6,3,2,1,4] => 1101110 => 0111011 => 1000100
[7,8,5,6,3,2,1,4] => 0101110 => 0111010 => 1000101
[8,6,5,7,3,2,1,4] => 1101110 => 0111011 => 1000100
[8,5,6,7,3,2,1,4] => 1001110 => 0111001 => 1000110
[7,6,5,8,3,2,1,4] => 1101110 => 0111011 => 1000100
[6,7,5,8,3,2,1,4] => 0101110 => 0111010 => 1000101
[7,5,6,8,3,2,1,4] => 1001110 => 0111001 => 1000110
[6,5,7,8,3,2,1,4] => 1001110 => 0111001 => 1000110
[5,6,7,8,3,2,1,4] => 0001110 => 0111000 => 1000111
[8,7,6,5,2,3,1,4] => 1111010 => 0101111 => 1010000
[7,8,6,5,2,3,1,4] => 0111010 => 0101110 => 1010001
[8,6,7,5,2,3,1,4] => 1011010 => 0101101 => 1010010
[7,6,8,5,2,3,1,4] => 1011010 => 0101101 => 1010010
[6,7,8,5,2,3,1,4] => 0011010 => 0101100 => 1010011
[8,7,5,6,2,3,1,4] => 1101010 => 0101011 => 1010100
[7,8,5,6,2,3,1,4] => 0101010 => 0101010 => 1010101
[8,6,5,7,2,3,1,4] => 1101010 => 0101011 => 1010100
[8,5,6,7,2,3,1,4] => 1001010 => 0101001 => 1010110
[7,6,5,8,2,3,1,4] => 1101010 => 0101011 => 1010100
[6,7,5,8,2,3,1,4] => 0101010 => 0101010 => 1010101
[7,5,6,8,2,3,1,4] => 1001010 => 0101001 => 1010110
[6,5,7,8,2,3,1,4] => 1001010 => 0101001 => 1010110
[5,6,7,8,2,3,1,4] => 0001010 => 0101000 => 1010111
[8,7,6,5,3,1,2,4] => 1111100 => 0011111 => 1100000
[7,8,6,5,3,1,2,4] => 0111100 => 0011110 => 1100001
[8,6,7,5,3,1,2,4] => 1011100 => 0011101 => 1100010
[7,6,8,5,3,1,2,4] => 1011100 => 0011101 => 1100010
[8,7,5,6,3,1,2,4] => 1101100 => 0011011 => 1100100
[7,8,5,6,3,1,2,4] => 0101100 => 0011010 => 1100101
[7,6,5,8,3,1,2,4] => 1101100 => 0011011 => 1100100
[6,7,5,8,3,1,2,4] => 0101100 => 0011010 => 1100101
[7,5,6,8,3,1,2,4] => 1001100 => 0011001 => 1100110
[6,5,7,8,3,1,2,4] => 1001100 => 0011001 => 1100110
[5,6,7,8,3,1,2,4] => 0001100 => 0011000 => 1100111
[8,7,6,5,2,1,3,4] => 1111100 => 0011111 => 1100000
[7,8,6,5,2,1,3,4] => 0111100 => 0011110 => 1100001
[7,6,8,5,2,1,3,4] => 1011100 => 0011101 => 1100010
[6,7,8,5,2,1,3,4] => 0011100 => 0011100 => 1100011
[8,7,5,6,2,1,3,4] => 1101100 => 0011011 => 1100100
[7,8,5,6,2,1,3,4] => 0101100 => 0011010 => 1100101
[8,6,5,7,2,1,3,4] => 1101100 => 0011011 => 1100100
[8,5,6,7,2,1,3,4] => 1001100 => 0011001 => 1100110
[7,6,5,8,2,1,3,4] => 1101100 => 0011011 => 1100100
[6,7,5,8,2,1,3,4] => 0101100 => 0011010 => 1100101
[7,5,6,8,2,1,3,4] => 1001100 => 0011001 => 1100110
[6,5,7,8,2,1,3,4] => 1001100 => 0011001 => 1100110
[5,6,7,8,2,1,3,4] => 0001100 => 0011000 => 1100111
[8,7,6,5,1,2,3,4] => 1111000 => 0001111 => 1110000
[7,8,6,5,1,2,3,4] => 0111000 => 0001110 => 1110001
[8,6,7,5,1,2,3,4] => 1011000 => 0001101 => 1110010
[7,6,8,5,1,2,3,4] => 1011000 => 0001101 => 1110010
[6,7,8,5,1,2,3,4] => 0011000 => 0001100 => 1110011
[8,7,5,6,1,2,3,4] => 1101000 => 0001011 => 1110100
[7,8,5,6,1,2,3,4] => 0101000 => 0001010 => 1110101
[8,6,5,7,1,2,3,4] => 1101000 => 0001011 => 1110100
[8,5,6,7,1,2,3,4] => 1001000 => 0001001 => 1110110
[7,6,5,8,1,2,3,4] => 1101000 => 0001011 => 1110100
[6,7,5,8,1,2,3,4] => 0101000 => 0001010 => 1110101
[7,5,6,8,1,2,3,4] => 1001000 => 0001001 => 1110110
[6,5,7,8,1,2,3,4] => 1001000 => 0001001 => 1110110
[5,6,7,8,1,2,3,4] => 0001000 => 0001000 => 1110111
[8,7,6,4,3,2,1,5] => 1111110 => 0111111 => 1000000
[7,8,6,4,3,2,1,5] => 0111110 => 0111110 => 1000001
[8,6,7,4,3,2,1,5] => 1011110 => 0111101 => 1000010
[7,6,8,4,3,2,1,5] => 1011110 => 0111101 => 1000010
[6,7,8,4,3,2,1,5] => 0011110 => 0111100 => 1000011
[8,7,6,3,4,2,1,5] => 1110110 => 0110111 => 1001000
[7,8,6,3,4,2,1,5] => 0110110 => 0110110 => 1001001
[6,7,8,3,4,2,1,5] => 0010110 => 0110100 => 1001011
[8,7,6,4,2,3,1,5] => 1111010 => 0101111 => 1010000
[8,6,7,4,2,3,1,5] => 1011010 => 0101101 => 1010010
[7,6,8,4,2,3,1,5] => 1011010 => 0101101 => 1010010
[6,7,8,4,2,3,1,5] => 0011010 => 0101100 => 1010011
[8,7,6,3,2,4,1,5] => 1111010 => 0101111 => 1010000
[8,6,7,3,2,4,1,5] => 1011010 => 0101101 => 1010010
[6,7,8,3,2,4,1,5] => 0011010 => 0101100 => 1010011
[8,7,6,2,3,4,1,5] => 1110010 => 0100111 => 1011000
[8,6,7,2,3,4,1,5] => 1010010 => 0100101 => 1011010
[7,6,8,2,3,4,1,5] => 1010010 => 0100101 => 1011010
[6,7,8,2,3,4,1,5] => 0010010 => 0100100 => 1011011
[8,7,6,4,3,1,2,5] => 1111100 => 0011111 => 1100000
[6,7,8,4,3,1,2,5] => 0011100 => 0011100 => 1100011
[8,7,6,3,4,1,2,5] => 1110100 => 0010111 => 1101000
[7,8,6,3,4,1,2,5] => 0110100 => 0010110 => 1101001
[8,6,7,3,4,1,2,5] => 1010100 => 0010101 => 1101010
[6,7,8,3,4,1,2,5] => 0010100 => 0010100 => 1101011
[8,7,6,4,2,1,3,5] => 1111100 => 0011111 => 1100000
[7,8,6,4,2,1,3,5] => 0111100 => 0011110 => 1100001
[8,6,7,4,2,1,3,5] => 1011100 => 0011101 => 1100010
[6,7,8,4,2,1,3,5] => 0011100 => 0011100 => 1100011
[8,7,6,4,1,2,3,5] => 1111000 => 0001111 => 1110000
[7,8,6,4,1,2,3,5] => 0111000 => 0001110 => 1110001
[7,6,8,4,1,2,3,5] => 1011000 => 0001101 => 1110010
[6,7,8,4,1,2,3,5] => 0011000 => 0001100 => 1110011
[8,7,6,3,2,1,4,5] => 1111100 => 0011111 => 1100000
[7,8,6,3,2,1,4,5] => 0111100 => 0011110 => 1100001
[8,6,7,3,2,1,4,5] => 1011100 => 0011101 => 1100010
[7,6,8,3,2,1,4,5] => 1011100 => 0011101 => 1100010
[6,7,8,3,2,1,4,5] => 0011100 => 0011100 => 1100011
[8,7,6,2,3,1,4,5] => 1110100 => 0010111 => 1101000
[7,8,6,2,3,1,4,5] => 0110100 => 0010110 => 1101001
[8,6,7,2,3,1,4,5] => 1010100 => 0010101 => 1101010
[7,6,8,2,3,1,4,5] => 1010100 => 0010101 => 1101010
[6,7,8,2,3,1,4,5] => 0010100 => 0010100 => 1101011
[8,7,6,3,1,2,4,5] => 1111000 => 0001111 => 1110000
[7,8,6,3,1,2,4,5] => 0111000 => 0001110 => 1110001
[8,6,7,3,1,2,4,5] => 1011000 => 0001101 => 1110010
[7,6,8,3,1,2,4,5] => 1011000 => 0001101 => 1110010
[6,7,8,3,1,2,4,5] => 0011000 => 0001100 => 1110011
[8,7,6,2,1,3,4,5] => 1111000 => 0001111 => 1110000
[7,8,6,2,1,3,4,5] => 0111000 => 0001110 => 1110001
[8,6,7,2,1,3,4,5] => 1011000 => 0001101 => 1110010
[6,7,8,2,1,3,4,5] => 0011000 => 0001100 => 1110011
[8,7,6,1,2,3,4,5] => 1110000 => 0000111 => 1111000
[7,8,6,1,2,3,4,5] => 0110000 => 0000110 => 1111001
[8,6,7,1,2,3,4,5] => 1010000 => 0000101 => 1111010
[7,6,8,1,2,3,4,5] => 1010000 => 0000101 => 1111010
[6,7,8,1,2,3,4,5] => 0010000 => 0000100 => 1111011
[8,7,5,4,3,2,1,6] => 1111110 => 0111111 => 1000000
[7,8,5,4,3,2,1,6] => 0111110 => 0111110 => 1000001
[8,7,4,5,3,2,1,6] => 1101110 => 0111011 => 1000100
[7,8,4,5,3,2,1,6] => 0101110 => 0111010 => 1000101
[8,7,5,3,4,2,1,6] => 1110110 => 0110111 => 1001000
[8,7,4,3,5,2,1,6] => 1110110 => 0110111 => 1001000
[8,7,3,4,5,2,1,6] => 1100110 => 0110011 => 1001100
[7,8,3,4,5,2,1,6] => 0100110 => 0110010 => 1001101
[8,7,4,5,2,3,1,6] => 1101010 => 0101011 => 1010100
[7,8,4,5,2,3,1,6] => 0101010 => 0101010 => 1010101
[8,7,5,3,2,4,1,6] => 1111010 => 0101111 => 1010000
[7,8,5,2,3,4,1,6] => 0110010 => 0100110 => 1011001
[8,7,4,3,2,5,1,6] => 1111010 => 0101111 => 1010000
[7,8,4,3,2,5,1,6] => 0111010 => 0101110 => 1010001
[8,7,3,4,2,5,1,6] => 1101010 => 0101011 => 1010100
[7,8,3,4,2,5,1,6] => 0101010 => 0101010 => 1010101
[8,7,2,3,4,5,1,6] => 1100010 => 0100011 => 1011100
[7,8,2,3,4,5,1,6] => 0100010 => 0100010 => 1011101
[8,7,5,4,3,1,2,6] => 1111100 => 0011111 => 1100000
[7,8,5,4,3,1,2,6] => 0111100 => 0011110 => 1100001
[8,7,5,3,4,1,2,6] => 1110100 => 0010111 => 1101000
[7,8,5,3,4,1,2,6] => 0110100 => 0010110 => 1101001
[8,7,3,4,5,1,2,6] => 1100100 => 0010011 => 1101100
[7,8,3,4,5,1,2,6] => 0100100 => 0010010 => 1101101
[7,8,5,4,2,1,3,6] => 0111100 => 0011110 => 1100001
[8,7,5,4,1,2,3,6] => 1111000 => 0001111 => 1110000
[7,8,5,4,1,2,3,6] => 0111000 => 0001110 => 1110001
[8,7,4,5,1,2,3,6] => 1101000 => 0001011 => 1110100
[7,8,4,5,1,2,3,6] => 0101000 => 0001010 => 1110101
[8,7,5,3,2,1,4,6] => 1111100 => 0011111 => 1100000
[7,8,5,3,2,1,4,6] => 0111100 => 0011110 => 1100001
[8,7,5,2,3,1,4,6] => 1110100 => 0010111 => 1101000
[8,7,5,3,1,2,4,6] => 1111000 => 0001111 => 1110000
[7,8,5,3,1,2,4,6] => 0111000 => 0001110 => 1110001
[8,7,5,2,1,3,4,6] => 1111000 => 0001111 => 1110000
[7,8,5,2,1,3,4,6] => 0111000 => 0001110 => 1110001
[8,7,5,1,2,3,4,6] => 1110000 => 0000111 => 1111000
[7,8,5,1,2,3,4,6] => 0110000 => 0000110 => 1111001
[8,7,4,3,2,1,5,6] => 1111100 => 0011111 => 1100000
[7,8,4,3,2,1,5,6] => 0111100 => 0011110 => 1100001
[8,7,3,4,2,1,5,6] => 1101100 => 0011011 => 1100100
[7,8,3,4,2,1,5,6] => 0101100 => 0011010 => 1100101
[7,8,4,2,3,1,5,6] => 0110100 => 0010110 => 1101001
[8,7,3,2,4,1,5,6] => 1110100 => 0010111 => 1101000
[7,8,3,2,4,1,5,6] => 0110100 => 0010110 => 1101001
[8,7,2,3,4,1,5,6] => 1100100 => 0010011 => 1101100
[7,8,2,3,4,1,5,6] => 0100100 => 0010010 => 1101101
[7,8,4,3,1,2,5,6] => 0111000 => 0001110 => 1110001
[8,7,3,4,1,2,5,6] => 1101000 => 0001011 => 1110100
[7,8,3,4,1,2,5,6] => 0101000 => 0001010 => 1110101
[8,7,4,2,1,3,5,6] => 1111000 => 0001111 => 1110000
[7,8,4,2,1,3,5,6] => 0111000 => 0001110 => 1110001
[8,7,4,1,2,3,5,6] => 1110000 => 0000111 => 1111000
[7,8,4,1,2,3,5,6] => 0110000 => 0000110 => 1111001
[8,7,3,2,1,4,5,6] => 1111000 => 0001111 => 1110000
[7,8,3,2,1,4,5,6] => 0111000 => 0001110 => 1110001
[8,7,2,3,1,4,5,6] => 1101000 => 0001011 => 1110100
[7,8,2,3,1,4,5,6] => 0101000 => 0001010 => 1110101
[7,8,3,1,2,4,5,6] => 0110000 => 0000110 => 1111001
[8,7,2,1,3,4,5,6] => 1110000 => 0000111 => 1111000
[7,8,2,1,3,4,5,6] => 0110000 => 0000110 => 1111001
[8,7,1,2,3,4,5,6] => 1100000 => 0000011 => 1111100
[7,8,1,2,3,4,5,6] => 0100000 => 0000010 => 1111101
[8,6,5,4,3,2,1,7] => 1111110 => 0111111 => 1000000
[8,5,6,4,3,2,1,7] => 1011110 => 0111101 => 1000010
[8,6,4,5,3,2,1,7] => 1101110 => 0111011 => 1000100
[8,5,4,6,3,2,1,7] => 1101110 => 0111011 => 1000100
[8,4,5,6,3,2,1,7] => 1001110 => 0111001 => 1000110
[8,6,5,3,4,2,1,7] => 1110110 => 0110111 => 1001000
[8,5,6,3,4,2,1,7] => 1010110 => 0110101 => 1001010
[8,6,4,3,5,2,1,7] => 1110110 => 0110111 => 1001000
[8,4,5,3,6,2,1,7] => 1010110 => 0110101 => 1001010
[8,4,3,5,6,2,1,7] => 1100110 => 0110011 => 1001100
[8,3,4,5,6,2,1,7] => 1000110 => 0110001 => 1001110
[8,6,5,4,2,3,1,7] => 1111010 => 0101111 => 1010000
[8,5,6,4,2,3,1,7] => 1011010 => 0101101 => 1010010
[8,6,4,5,2,3,1,7] => 1101010 => 0101011 => 1010100
[8,4,5,6,2,3,1,7] => 1001010 => 0101001 => 1010110
[8,6,5,3,2,4,1,7] => 1111010 => 0101111 => 1010000
[8,6,5,2,3,4,1,7] => 1110010 => 0100111 => 1011000
[8,5,6,2,3,4,1,7] => 1010010 => 0100101 => 1011010
[8,6,4,3,2,5,1,7] => 1111010 => 0101111 => 1010000
[8,6,4,2,3,5,1,7] => 1110010 => 0100111 => 1011000
[8,6,3,2,4,5,1,7] => 1110010 => 0100111 => 1011000
[8,5,4,3,2,6,1,7] => 1111010 => 0101111 => 1010000
[8,4,3,5,2,6,1,7] => 1101010 => 0101011 => 1010100
[8,5,4,2,3,6,1,7] => 1110010 => 0100111 => 1011000
[8,4,5,2,3,6,1,7] => 1010010 => 0100101 => 1011010
[8,5,3,2,4,6,1,7] => 1110010 => 0100111 => 1011000
[8,5,2,3,4,6,1,7] => 1100010 => 0100011 => 1011100
[8,3,4,2,5,6,1,7] => 1010010 => 0100101 => 1011010
[8,3,2,4,5,6,1,7] => 1100010 => 0100011 => 1011100
[8,2,3,4,5,6,1,7] => 1000010 => 0100001 => 1011110
[8,6,5,4,3,1,2,7] => 1111100 => 0011111 => 1100000
[8,6,4,5,3,1,2,7] => 1101100 => 0011011 => 1100100
[8,6,5,3,4,1,2,7] => 1110100 => 0010111 => 1101000
[8,5,6,3,4,1,2,7] => 1010100 => 0010101 => 1101010
[8,6,3,4,5,1,2,7] => 1100100 => 0010011 => 1101100
[8,5,4,3,6,1,2,7] => 1110100 => 0010111 => 1101000
[8,4,5,3,6,1,2,7] => 1010100 => 0010101 => 1101010
[8,5,3,4,6,1,2,7] => 1100100 => 0010011 => 1101100
[8,4,3,5,6,1,2,7] => 1100100 => 0010011 => 1101100
[8,3,4,5,6,1,2,7] => 1000100 => 0010001 => 1101110
[8,6,5,4,2,1,3,7] => 1111100 => 0011111 => 1100000
[8,5,6,4,2,1,3,7] => 1011100 => 0011101 => 1100010
[8,6,4,5,2,1,3,7] => 1101100 => 0011011 => 1100100
[8,4,5,6,2,1,3,7] => 1001100 => 0011001 => 1100110
[8,6,5,4,1,2,3,7] => 1111000 => 0001111 => 1110000
[8,5,6,4,1,2,3,7] => 1011000 => 0001101 => 1110010
[8,6,4,5,1,2,3,7] => 1101000 => 0001011 => 1110100
[8,4,5,6,1,2,3,7] => 1001000 => 0001001 => 1110110
[8,6,5,3,2,1,4,7] => 1111100 => 0011111 => 1100000
[8,5,6,3,2,1,4,7] => 1011100 => 0011101 => 1100010
[8,6,5,2,3,1,4,7] => 1110100 => 0010111 => 1101000
[8,5,6,2,3,1,4,7] => 1010100 => 0010101 => 1101010
[8,5,6,3,1,2,4,7] => 1011000 => 0001101 => 1110010
[8,6,5,2,1,3,4,7] => 1111000 => 0001111 => 1110000
[8,5,6,2,1,3,4,7] => 1011000 => 0001101 => 1110010
[8,6,5,1,2,3,4,7] => 1110000 => 0000111 => 1111000
[8,5,6,1,2,3,4,7] => 1010000 => 0000101 => 1111010
[8,6,4,3,2,1,5,7] => 1111100 => 0011111 => 1100000
[8,6,3,4,2,1,5,7] => 1101100 => 0011011 => 1100100
[8,6,4,2,3,1,5,7] => 1110100 => 0010111 => 1101000
[8,6,3,2,4,1,5,7] => 1110100 => 0010111 => 1101000
[8,6,2,3,4,1,5,7] => 1100100 => 0010011 => 1101100
[8,6,4,3,1,2,5,7] => 1111000 => 0001111 => 1110000
[8,6,3,4,1,2,5,7] => 1101000 => 0001011 => 1110100
[8,6,4,2,1,3,5,7] => 1111000 => 0001111 => 1110000
[8,6,4,1,2,3,5,7] => 1110000 => 0000111 => 1111000
[8,6,1,2,3,4,5,7] => 1100000 => 0000011 => 1111100
[8,5,4,3,2,1,6,7] => 1111100 => 0011111 => 1100000
[8,4,5,3,2,1,6,7] => 1011100 => 0011101 => 1100010
[8,4,3,5,2,1,6,7] => 1101100 => 0011011 => 1100100
[8,3,4,5,2,1,6,7] => 1001100 => 0011001 => 1100110
[8,4,5,2,3,1,6,7] => 1010100 => 0010101 => 1101010
[8,5,2,3,4,1,6,7] => 1100100 => 0010011 => 1101100
[8,4,2,3,5,1,6,7] => 1100100 => 0010011 => 1101100
[8,2,3,4,5,1,6,7] => 1000100 => 0010001 => 1101110
[8,5,3,4,1,2,6,7] => 1101000 => 0001011 => 1110100
[8,3,4,5,1,2,6,7] => 1001000 => 0001001 => 1110110
[8,5,4,2,1,3,6,7] => 1111000 => 0001111 => 1110000
[8,5,4,1,2,3,6,7] => 1110000 => 0000111 => 1111000
[8,4,5,1,2,3,6,7] => 1010000 => 0000101 => 1111010
[8,5,3,2,1,4,6,7] => 1111000 => 0001111 => 1110000
[8,5,3,1,2,4,6,7] => 1110000 => 0000111 => 1111000
[8,5,2,1,3,4,6,7] => 1110000 => 0000111 => 1111000
[8,5,1,2,3,4,6,7] => 1100000 => 0000011 => 1111100
[8,4,3,2,1,5,6,7] => 1111000 => 0001111 => 1110000
[8,3,4,2,1,5,6,7] => 1011000 => 0001101 => 1110010
[8,4,2,3,1,5,6,7] => 1101000 => 0001011 => 1110100
[8,2,3,4,1,5,6,7] => 1001000 => 0001001 => 1110110
[8,3,4,1,2,5,6,7] => 1010000 => 0000101 => 1111010
[8,4,2,1,3,5,6,7] => 1110000 => 0000111 => 1111000
[8,4,1,2,3,5,6,7] => 1100000 => 0000011 => 1111100
[8,3,2,1,4,5,6,7] => 1110000 => 0000111 => 1111000
[8,2,3,1,4,5,6,7] => 1010000 => 0000101 => 1111010
[8,3,1,2,4,5,6,7] => 1100000 => 0000011 => 1111100
[8,2,1,3,4,5,6,7] => 1100000 => 0000011 => 1111100
[8,1,2,3,4,5,6,7] => 1000000 => 0000001 => 1111110
[7,6,5,4,3,2,1,8] => 1111110 => 0111111 => 1000000
[6,7,5,4,3,2,1,8] => 0111110 => 0111110 => 1000001
[7,5,6,4,3,2,1,8] => 1011110 => 0111101 => 1000010
[6,5,7,4,3,2,1,8] => 1011110 => 0111101 => 1000010
[5,6,7,4,3,2,1,8] => 0011110 => 0111100 => 1000011
[7,6,4,5,3,2,1,8] => 1101110 => 0111011 => 1000100
[6,7,4,5,3,2,1,8] => 0101110 => 0111010 => 1000101
[7,5,4,6,3,2,1,8] => 1101110 => 0111011 => 1000100
[7,4,5,6,3,2,1,8] => 1001110 => 0111001 => 1000110
[6,5,4,7,3,2,1,8] => 1101110 => 0111011 => 1000100
[5,6,4,7,3,2,1,8] => 0101110 => 0111010 => 1000101
[5,4,6,7,3,2,1,8] => 1001110 => 0111001 => 1000110
[4,5,6,7,3,2,1,8] => 0001110 => 0111000 => 1000111
[7,6,5,3,4,2,1,8] => 1110110 => 0110111 => 1001000
[6,7,5,3,4,2,1,8] => 0110110 => 0110110 => 1001001
[7,5,6,3,4,2,1,8] => 1010110 => 0110101 => 1001010
[6,5,7,3,4,2,1,8] => 1010110 => 0110101 => 1001010
[5,6,7,3,4,2,1,8] => 0010110 => 0110100 => 1001011
[7,6,4,3,5,2,1,8] => 1110110 => 0110111 => 1001000
[6,7,4,3,5,2,1,8] => 0110110 => 0110110 => 1001001
[7,6,3,4,5,2,1,8] => 1100110 => 0110011 => 1001100
[7,5,4,3,6,2,1,8] => 1110110 => 0110111 => 1001000
[7,4,5,3,6,2,1,8] => 1010110 => 0110101 => 1001010
[7,3,4,5,6,2,1,8] => 1000110 => 0110001 => 1001110
[6,5,4,3,7,2,1,8] => 1110110 => 0110111 => 1001000
[5,6,4,3,7,2,1,8] => 0110110 => 0110110 => 1001001
[5,4,6,3,7,2,1,8] => 1010110 => 0110101 => 1001010
[5,4,3,6,7,2,1,8] => 1100110 => 0110011 => 1001100
[3,4,5,6,7,2,1,8] => 0000110 => 0110000 => 1001111
[7,6,5,4,2,3,1,8] => 1111010 => 0101111 => 1010000
[6,7,5,4,2,3,1,8] => 0111010 => 0101110 => 1010001
[7,5,6,4,2,3,1,8] => 1011010 => 0101101 => 1010010
[5,6,7,4,2,3,1,8] => 0011010 => 0101100 => 1010011
[7,6,4,5,2,3,1,8] => 1101010 => 0101011 => 1010100
[6,7,4,5,2,3,1,8] => 0101010 => 0101010 => 1010101
[7,5,4,6,2,3,1,8] => 1101010 => 0101011 => 1010100
[7,4,5,6,2,3,1,8] => 1001010 => 0101001 => 1010110
[6,5,4,7,2,3,1,8] => 1101010 => 0101011 => 1010100
[5,6,4,7,2,3,1,8] => 0101010 => 0101010 => 1010101
[5,4,6,7,2,3,1,8] => 1001010 => 0101001 => 1010110
[4,5,6,7,2,3,1,8] => 0001010 => 0101000 => 1010111
[7,6,5,3,2,4,1,8] => 1111010 => 0101111 => 1010000
[6,5,7,3,2,4,1,8] => 1011010 => 0101101 => 1010010
[5,6,7,3,2,4,1,8] => 0011010 => 0101100 => 1010011
[7,6,5,2,3,4,1,8] => 1110010 => 0100111 => 1011000
[6,7,5,2,3,4,1,8] => 0110010 => 0100110 => 1011001
[7,5,6,2,3,4,1,8] => 1010010 => 0100101 => 1011010
[6,5,7,2,3,4,1,8] => 1010010 => 0100101 => 1011010
[5,6,7,2,3,4,1,8] => 0010010 => 0100100 => 1011011
[7,6,4,3,2,5,1,8] => 1111010 => 0101111 => 1010000
[6,7,4,3,2,5,1,8] => 0111010 => 0101110 => 1010001
[6,7,3,4,2,5,1,8] => 0101010 => 0101010 => 1010101
[7,6,4,2,3,5,1,8] => 1110010 => 0100111 => 1011000
[6,7,4,2,3,5,1,8] => 0110010 => 0100110 => 1011001
[7,6,3,2,4,5,1,8] => 1110010 => 0100111 => 1011000
[6,7,3,2,4,5,1,8] => 0110010 => 0100110 => 1011001
[7,6,2,3,4,5,1,8] => 1100010 => 0100011 => 1011100
[6,7,2,3,4,5,1,8] => 0100010 => 0100010 => 1011101
[7,5,4,3,2,6,1,8] => 1111010 => 0101111 => 1010000
[7,4,5,3,2,6,1,8] => 1011010 => 0101101 => 1010010
[7,5,3,4,2,6,1,8] => 1101010 => 0101011 => 1010100
[7,4,3,5,2,6,1,8] => 1101010 => 0101011 => 1010100
[7,5,4,2,3,6,1,8] => 1110010 => 0100111 => 1011000
[7,4,5,2,3,6,1,8] => 1010010 => 0100101 => 1011010
[7,5,3,2,4,6,1,8] => 1110010 => 0100111 => 1011000
[7,4,2,3,5,6,1,8] => 1100010 => 0100011 => 1011100
[7,2,3,4,5,6,1,8] => 1000010 => 0100001 => 1011110
[6,5,4,3,2,7,1,8] => 1111010 => 0101111 => 1010000
[5,6,4,3,2,7,1,8] => 0111010 => 0101110 => 1010001
[5,4,6,3,2,7,1,8] => 1011010 => 0101101 => 1010010
[5,6,3,4,2,7,1,8] => 0101010 => 0101010 => 1010101
[6,3,4,5,2,7,1,8] => 1001010 => 0101001 => 1010110
[5,4,3,6,2,7,1,8] => 1101010 => 0101011 => 1010100
[4,5,3,6,2,7,1,8] => 0101010 => 0101010 => 1010101
[5,3,4,6,2,7,1,8] => 1001010 => 0101001 => 1010110
[4,3,5,6,2,7,1,8] => 1001010 => 0101001 => 1010110
[3,4,5,6,2,7,1,8] => 0001010 => 0101000 => 1010111
[5,4,6,2,3,7,1,8] => 1010010 => 0100101 => 1011010
[6,5,3,2,4,7,1,8] => 1110010 => 0100111 => 1011000
[6,4,2,3,5,7,1,8] => 1100010 => 0100011 => 1011100
[6,3,2,4,5,7,1,8] => 1100010 => 0100011 => 1011100
[6,2,3,4,5,7,1,8] => 1000010 => 0100001 => 1011110
[5,4,3,2,6,7,1,8] => 1110010 => 0100111 => 1011000
[3,4,5,2,6,7,1,8] => 0010010 => 0100100 => 1011011
[5,4,2,3,6,7,1,8] => 1100010 => 0100011 => 1011100
[4,5,2,3,6,7,1,8] => 0100010 => 0100010 => 1011101
[5,2,3,4,6,7,1,8] => 1000010 => 0100001 => 1011110
[4,3,2,5,6,7,1,8] => 1100010 => 0100011 => 1011100
[3,4,2,5,6,7,1,8] => 0100010 => 0100010 => 1011101
[4,2,3,5,6,7,1,8] => 1000010 => 0100001 => 1011110
[3,2,4,5,6,7,1,8] => 1000010 => 0100001 => 1011110
[2,3,4,5,6,7,1,8] => 0000010 => 0100000 => 1011111
[7,6,5,4,3,1,2,8] => 1111100 => 0011111 => 1100000
[6,7,5,4,3,1,2,8] => 0111100 => 0011110 => 1100001
[7,5,6,4,3,1,2,8] => 1011100 => 0011101 => 1100010
[7,6,4,5,3,1,2,8] => 1101100 => 0011011 => 1100100
[7,4,5,6,3,1,2,8] => 1001100 => 0011001 => 1100110
[5,4,6,7,3,1,2,8] => 1001100 => 0011001 => 1100110
[4,5,6,7,3,1,2,8] => 0001100 => 0011000 => 1100111
[7,6,5,3,4,1,2,8] => 1110100 => 0010111 => 1101000
[7,5,6,3,4,1,2,8] => 1010100 => 0010101 => 1101010
[6,7,3,4,5,1,2,8] => 0100100 => 0010010 => 1101101
[7,5,3,4,6,1,2,8] => 1100100 => 0010011 => 1101100
[6,5,4,3,7,1,2,8] => 1110100 => 0010111 => 1101000
[5,6,3,4,7,1,2,8] => 0100100 => 0010010 => 1101101
[6,4,3,5,7,1,2,8] => 1100100 => 0010011 => 1101100
[6,3,4,5,7,1,2,8] => 1000100 => 0010001 => 1101110
[4,3,5,6,7,1,2,8] => 1000100 => 0010001 => 1101110
[3,4,5,6,7,1,2,8] => 0000100 => 0010000 => 1101111
[7,6,5,4,2,1,3,8] => 1111100 => 0011111 => 1100000
[6,5,7,4,2,1,3,8] => 1011100 => 0011101 => 1100010
[7,6,4,5,2,1,3,8] => 1101100 => 0011011 => 1100100
[7,5,4,6,2,1,3,8] => 1101100 => 0011011 => 1100100
[7,4,5,6,2,1,3,8] => 1001100 => 0011001 => 1100110
[5,4,6,7,2,1,3,8] => 1001100 => 0011001 => 1100110
[4,5,6,7,2,1,3,8] => 0001100 => 0011000 => 1100111
[7,6,5,4,1,2,3,8] => 1111000 => 0001111 => 1110000
[7,5,6,4,1,2,3,8] => 1011000 => 0001101 => 1110010
[5,6,7,4,1,2,3,8] => 0011000 => 0001100 => 1110011
[7,6,4,5,1,2,3,8] => 1101000 => 0001011 => 1110100
[7,5,4,6,1,2,3,8] => 1101000 => 0001011 => 1110100
[7,4,5,6,1,2,3,8] => 1001000 => 0001001 => 1110110
[5,4,6,7,1,2,3,8] => 1001000 => 0001001 => 1110110
[4,5,6,7,1,2,3,8] => 0001000 => 0001000 => 1110111
[7,6,5,3,2,1,4,8] => 1111100 => 0011111 => 1100000
[7,6,5,2,3,1,4,8] => 1110100 => 0010111 => 1101000
[6,7,5,2,3,1,4,8] => 0110100 => 0010110 => 1101001
[7,5,6,2,3,1,4,8] => 1010100 => 0010101 => 1101010
[6,5,7,2,3,1,4,8] => 1010100 => 0010101 => 1101010
[5,6,7,2,3,1,4,8] => 0010100 => 0010100 => 1101011
[7,5,6,3,1,2,4,8] => 1011000 => 0001101 => 1110010
[7,6,5,2,1,3,4,8] => 1111000 => 0001111 => 1110000
[6,7,5,2,1,3,4,8] => 0111000 => 0001110 => 1110001
[7,5,6,2,1,3,4,8] => 1011000 => 0001101 => 1110010
[5,6,7,2,1,3,4,8] => 0011000 => 0001100 => 1110011
[7,6,5,1,2,3,4,8] => 1110000 => 0000111 => 1111000
[6,7,5,1,2,3,4,8] => 0110000 => 0000110 => 1111001
[7,5,6,1,2,3,4,8] => 1010000 => 0000101 => 1111010
[6,5,7,1,2,3,4,8] => 1010000 => 0000101 => 1111010
[5,6,7,1,2,3,4,8] => 0010000 => 0000100 => 1111011
[7,6,4,3,2,1,5,8] => 1111100 => 0011111 => 1100000
[6,7,4,3,2,1,5,8] => 0111100 => 0011110 => 1100001
[7,6,3,4,2,1,5,8] => 1101100 => 0011011 => 1100100
[7,6,3,2,4,1,5,8] => 1110100 => 0010111 => 1101000
[6,7,3,2,4,1,5,8] => 0110100 => 0010110 => 1101001
[7,6,2,3,4,1,5,8] => 1100100 => 0010011 => 1101100
[6,7,2,3,4,1,5,8] => 0100100 => 0010010 => 1101101
[7,6,4,3,1,2,5,8] => 1111000 => 0001111 => 1110000
[6,7,3,4,1,2,5,8] => 0101000 => 0001010 => 1110101
[7,6,4,2,1,3,5,8] => 1111000 => 0001111 => 1110000
[7,6,3,2,1,4,5,8] => 1111000 => 0001111 => 1110000
[6,7,3,2,1,4,5,8] => 0111000 => 0001110 => 1110001
[7,6,2,3,1,4,5,8] => 1101000 => 0001011 => 1110100
[6,7,2,3,1,4,5,8] => 0101000 => 0001010 => 1110101
[6,7,3,1,2,4,5,8] => 0110000 => 0000110 => 1111001
[7,6,1,2,3,4,5,8] => 1100000 => 0000011 => 1111100
[6,7,1,2,3,4,5,8] => 0100000 => 0000010 => 1111101
[7,5,4,3,2,1,6,8] => 1111100 => 0011111 => 1100000
[7,4,5,3,2,1,6,8] => 1011100 => 0011101 => 1100010
[7,4,3,5,2,1,6,8] => 1101100 => 0011011 => 1100100
[7,3,4,5,2,1,6,8] => 1001100 => 0011001 => 1100110
[7,5,4,2,3,1,6,8] => 1110100 => 0010111 => 1101000
[7,5,3,2,4,1,6,8] => 1110100 => 0010111 => 1101000
[7,5,2,3,4,1,6,8] => 1100100 => 0010011 => 1101100
[7,4,2,3,5,1,6,8] => 1100100 => 0010011 => 1101100
[7,2,3,4,5,1,6,8] => 1000100 => 0010001 => 1101110
[7,5,4,3,1,2,6,8] => 1111000 => 0001111 => 1110000
[7,5,3,4,1,2,6,8] => 1101000 => 0001011 => 1110100
[7,4,5,2,1,3,6,8] => 1011000 => 0001101 => 1110010
[7,4,5,1,2,3,6,8] => 1010000 => 0000101 => 1111010
[7,5,3,2,1,4,6,8] => 1111000 => 0001111 => 1110000
[7,5,2,3,1,4,6,8] => 1101000 => 0001011 => 1110100
[7,5,3,1,2,4,6,8] => 1110000 => 0000111 => 1111000
[7,5,1,2,3,4,6,8] => 1100000 => 0000011 => 1111100
[7,4,3,2,1,5,6,8] => 1111000 => 0001111 => 1110000
[7,2,3,4,1,5,6,8] => 1001000 => 0001001 => 1110110
[7,4,3,1,2,5,6,8] => 1110000 => 0000111 => 1111000
[7,3,4,1,2,5,6,8] => 1010000 => 0000101 => 1111010
[7,4,1,2,3,5,6,8] => 1100000 => 0000011 => 1111100
[7,3,2,1,4,5,6,8] => 1110000 => 0000111 => 1111000
[7,2,3,1,4,5,6,8] => 1010000 => 0000101 => 1111010
[7,3,1,2,4,5,6,8] => 1100000 => 0000011 => 1111100
[7,2,1,3,4,5,6,8] => 1100000 => 0000011 => 1111100
[7,1,2,3,4,5,6,8] => 1000000 => 0000001 => 1111110
[6,5,4,3,2,1,7,8] => 1111100 => 0011111 => 1100000
[5,6,4,3,2,1,7,8] => 0111100 => 0011110 => 1100001
[5,4,6,3,2,1,7,8] => 1011100 => 0011101 => 1100010
[4,5,6,3,2,1,7,8] => 0011100 => 0011100 => 1100011
[6,5,3,4,2,1,7,8] => 1101100 => 0011011 => 1100100
[5,6,3,4,2,1,7,8] => 0101100 => 0011010 => 1100101
[5,4,3,6,2,1,7,8] => 1101100 => 0011011 => 1100100
[3,4,5,6,2,1,7,8] => 0001100 => 0011000 => 1100111
[5,4,6,2,3,1,7,8] => 1010100 => 0010101 => 1101010
[5,6,3,2,4,1,7,8] => 0110100 => 0010110 => 1101001
[6,5,2,3,4,1,7,8] => 1100100 => 0010011 => 1101100
[5,6,2,3,4,1,7,8] => 0100100 => 0010010 => 1101101
[6,4,3,2,5,1,7,8] => 1110100 => 0010111 => 1101000
[6,2,3,4,5,1,7,8] => 1000100 => 0010001 => 1101110
[5,4,3,2,6,1,7,8] => 1110100 => 0010111 => 1101000
[4,5,3,2,6,1,7,8] => 0110100 => 0010110 => 1101001
[4,3,5,2,6,1,7,8] => 1010100 => 0010101 => 1101010
[3,4,5,2,6,1,7,8] => 0010100 => 0010100 => 1101011
[5,3,2,4,6,1,7,8] => 1100100 => 0010011 => 1101100
[5,2,3,4,6,1,7,8] => 1000100 => 0010001 => 1101110
[4,3,2,5,6,1,7,8] => 1100100 => 0010011 => 1101100
[3,4,2,5,6,1,7,8] => 0100100 => 0010010 => 1101101
[4,2,3,5,6,1,7,8] => 1000100 => 0010001 => 1101110
[3,2,4,5,6,1,7,8] => 1000100 => 0010001 => 1101110
[2,3,4,5,6,1,7,8] => 0000100 => 0010000 => 1101111
[6,5,4,3,1,2,7,8] => 1111000 => 0001111 => 1110000
[6,4,5,3,1,2,7,8] => 1011000 => 0001101 => 1110010
[5,4,6,3,1,2,7,8] => 1011000 => 0001101 => 1110010
[5,6,3,4,1,2,7,8] => 0101000 => 0001010 => 1110101
[5,4,3,6,1,2,7,8] => 1101000 => 0001011 => 1110100
[4,3,5,6,1,2,7,8] => 1001000 => 0001001 => 1110110
[3,4,5,6,1,2,7,8] => 0001000 => 0001000 => 1110111
[6,5,4,2,1,3,7,8] => 1111000 => 0001111 => 1110000
[5,6,4,2,1,3,7,8] => 0111000 => 0001110 => 1110001
[6,4,5,2,1,3,7,8] => 1011000 => 0001101 => 1110010
[4,5,6,2,1,3,7,8] => 0011000 => 0001100 => 1110011
[6,5,4,1,2,3,7,8] => 1110000 => 0000111 => 1111000
[4,5,6,1,2,3,7,8] => 0010000 => 0000100 => 1111011
[6,5,3,2,1,4,7,8] => 1111000 => 0001111 => 1110000
[5,6,3,2,1,4,7,8] => 0111000 => 0001110 => 1110001
[5,6,2,1,3,4,7,8] => 0110000 => 0000110 => 1111001
[6,4,3,2,1,5,7,8] => 1111000 => 0001111 => 1110000
[6,3,4,2,1,5,7,8] => 1011000 => 0001101 => 1110010
[6,4,3,1,2,5,7,8] => 1110000 => 0000111 => 1111000
[6,4,2,1,3,5,7,8] => 1110000 => 0000111 => 1111000
[6,4,1,2,3,5,7,8] => 1100000 => 0000011 => 1111100
[6,3,2,1,4,5,7,8] => 1110000 => 0000111 => 1111000
[6,2,3,1,4,5,7,8] => 1010000 => 0000101 => 1111010
[6,3,1,2,4,5,7,8] => 1100000 => 0000011 => 1111100
[6,2,1,3,4,5,7,8] => 1100000 => 0000011 => 1111100
[6,1,2,3,4,5,7,8] => 1000000 => 0000001 => 1111110
[5,4,3,2,1,6,7,8] => 1111000 => 0001111 => 1110000
[4,5,3,2,1,6,7,8] => 0111000 => 0001110 => 1110001
[5,3,4,2,1,6,7,8] => 1011000 => 0001101 => 1110010
[4,3,5,2,1,6,7,8] => 1011000 => 0001101 => 1110010
[3,4,5,2,1,6,7,8] => 0011000 => 0001100 => 1110011
[5,4,2,3,1,6,7,8] => 1101000 => 0001011 => 1110100
[4,5,2,3,1,6,7,8] => 0101000 => 0001010 => 1110101
[5,3,2,4,1,6,7,8] => 1101000 => 0001011 => 1110100
[5,2,3,4,1,6,7,8] => 1001000 => 0001001 => 1110110
[4,3,2,5,1,6,7,8] => 1101000 => 0001011 => 1110100
[3,4,2,5,1,6,7,8] => 0101000 => 0001010 => 1110101
[4,2,3,5,1,6,7,8] => 1001000 => 0001001 => 1110110
[3,2,4,5,1,6,7,8] => 1001000 => 0001001 => 1110110
[2,3,4,5,1,6,7,8] => 0001000 => 0001000 => 1110111
[5,4,3,1,2,6,7,8] => 1110000 => 0000111 => 1111000
[5,3,4,1,2,6,7,8] => 1010000 => 0000101 => 1111010
[4,3,5,1,2,6,7,8] => 1010000 => 0000101 => 1111010
[3,4,5,1,2,6,7,8] => 0010000 => 0000100 => 1111011
[5,4,2,1,3,6,7,8] => 1110000 => 0000111 => 1111000
[4,5,2,1,3,6,7,8] => 0110000 => 0000110 => 1111001
[5,4,1,2,3,6,7,8] => 1100000 => 0000011 => 1111100
[4,5,1,2,3,6,7,8] => 0100000 => 0000010 => 1111101
[5,3,2,1,4,6,7,8] => 1110000 => 0000111 => 1111000
[5,2,3,1,4,6,7,8] => 1010000 => 0000101 => 1111010
[5,3,1,2,4,6,7,8] => 1100000 => 0000011 => 1111100
[5,2,1,3,4,6,7,8] => 1100000 => 0000011 => 1111100
[5,1,2,3,4,6,7,8] => 1000000 => 0000001 => 1111110
[4,3,2,1,5,6,7,8] => 1110000 => 0000111 => 1111000
[3,4,2,1,5,6,7,8] => 0110000 => 0000110 => 1111001
[4,2,3,1,5,6,7,8] => 1010000 => 0000101 => 1111010
[3,2,4,1,5,6,7,8] => 1010000 => 0000101 => 1111010
[2,3,4,1,5,6,7,8] => 0010000 => 0000100 => 1111011
[4,3,1,2,5,6,7,8] => 1100000 => 0000011 => 1111100
[3,4,1,2,5,6,7,8] => 0100000 => 0000010 => 1111101
[4,2,1,3,5,6,7,8] => 1100000 => 0000011 => 1111100
[4,1,2,3,5,6,7,8] => 1000000 => 0000001 => 1111110
[3,2,1,4,5,6,7,8] => 1100000 => 0000011 => 1111100
[2,3,1,4,5,6,7,8] => 0100000 => 0000010 => 1111101
[3,1,2,4,5,6,7,8] => 1000000 => 0000001 => 1111110
[2,1,3,4,5,6,7,8] => 1000000 => 0000001 => 1111110
[1,2,3,4,5,6,7,8] => 0000000 => 0000000 => 1111111
[6,8,7,5,4,3,2,1] => 0111111 => 1111110 => 0000001
[5,8,7,6,4,3,2,1] => 0111111 => 1111110 => 0000001
[5,7,8,6,4,3,2,1] => 0011111 => 1111100 => 0000011
[6,5,8,7,4,3,2,1] => 1011111 => 1111101 => 0000010
[5,6,8,7,4,3,2,1] => 0011111 => 1111100 => 0000011
[5,7,6,8,4,3,2,1] => 0101111 => 1111010 => 0000101
[4,8,7,6,5,3,2,1] => 0111111 => 1111110 => 0000001
[4,7,8,6,5,3,2,1] => 0011111 => 1111100 => 0000011
[4,6,8,7,5,3,2,1] => 0011111 => 1111100 => 0000011
[4,7,6,8,5,3,2,1] => 0101111 => 1111010 => 0000101
[4,6,7,8,5,3,2,1] => 0001111 => 1111000 => 0000111
[5,4,7,8,6,3,2,1] => 1001111 => 1111001 => 0000110
[4,5,8,7,6,3,2,1] => 0011111 => 1111100 => 0000011
[4,5,7,8,6,3,2,1] => 0001111 => 1111000 => 0000111
[6,5,4,8,7,3,2,1] => 1101111 => 1111011 => 0000100
[5,6,4,8,7,3,2,1] => 0101111 => 1111010 => 0000101
[4,6,5,8,7,3,2,1] => 0101111 => 1111010 => 0000101
[4,5,6,8,7,3,2,1] => 0001111 => 1111000 => 0000111
[5,7,6,4,8,3,2,1] => 0110111 => 1110110 => 0001001
[4,7,6,5,8,3,2,1] => 0110111 => 1110110 => 0001001
[4,6,7,5,8,3,2,1] => 0010111 => 1110100 => 0001011
[5,4,7,6,8,3,2,1] => 1010111 => 1110101 => 0001010
[4,5,7,6,8,3,2,1] => 0010111 => 1110100 => 0001011
[4,6,5,7,8,3,2,1] => 0100111 => 1110010 => 0001101
[3,8,7,6,5,4,2,1] => 0111111 => 1111110 => 0000001
[3,7,8,6,5,4,2,1] => 0011111 => 1111100 => 0000011
[3,6,8,7,5,4,2,1] => 0011111 => 1111100 => 0000011
[3,7,6,8,5,4,2,1] => 0101111 => 1111010 => 0000101
[3,5,8,7,6,4,2,1] => 0011111 => 1111100 => 0000011
[3,5,7,8,6,4,2,1] => 0001111 => 1111000 => 0000111
[3,5,6,8,7,4,2,1] => 0001111 => 1111000 => 0000111
[3,7,6,5,8,4,2,1] => 0110111 => 1110110 => 0001001
[3,6,7,5,8,4,2,1] => 0010111 => 1110100 => 0001011
[3,5,7,6,8,4,2,1] => 0010111 => 1110100 => 0001011
[3,5,6,7,8,4,2,1] => 0000111 => 1110000 => 0001111
[4,3,8,7,6,5,2,1] => 1011111 => 1111101 => 0000010
[4,3,7,8,6,5,2,1] => 1001111 => 1111001 => 0000110
[4,3,6,7,8,5,2,1] => 1000111 => 1110001 => 0001110
[3,4,8,7,6,5,2,1] => 0011111 => 1111100 => 0000011
[3,4,6,7,8,5,2,1] => 0000111 => 1110000 => 0001111
[5,4,3,8,7,6,2,1] => 1101111 => 1111011 => 0000100
[5,4,3,7,8,6,2,1] => 1100111 => 1110011 => 0001100
[3,5,4,7,8,6,2,1] => 0100111 => 1110010 => 0001101
[3,4,5,8,7,6,2,1] => 0001111 => 1111000 => 0000111
[3,4,5,7,8,6,2,1] => 0000111 => 1110000 => 0001111
[6,5,4,3,8,7,2,1] => 1110111 => 1110111 => 0001000
[5,6,4,3,8,7,2,1] => 0110111 => 1110110 => 0001001
[4,5,6,3,8,7,2,1] => 0010111 => 1110100 => 0001011
[4,3,6,5,8,7,2,1] => 1010111 => 1110101 => 0001010
[5,4,3,6,8,7,2,1] => 1100111 => 1110011 => 0001100
[4,5,3,6,8,7,2,1] => 0100111 => 1110010 => 0001101
[3,4,5,6,8,7,2,1] => 0000111 => 1110000 => 0001111
[5,7,6,4,3,8,2,1] => 0111011 => 1101110 => 0010001
[4,7,6,5,3,8,2,1] => 0111011 => 1101110 => 0010001
[5,4,7,6,3,8,2,1] => 1011011 => 1101101 => 0010010
[3,7,6,5,4,8,2,1] => 0111011 => 1101110 => 0010001
[3,5,7,6,4,8,2,1] => 0011011 => 1101100 => 0010011
[3,5,6,7,4,8,2,1] => 0001011 => 1101000 => 0010111
[4,3,7,6,5,8,2,1] => 1011011 => 1101101 => 0010010
[3,4,7,6,5,8,2,1] => 0011011 => 1101100 => 0010011
[3,4,6,7,5,8,2,1] => 0001011 => 1101000 => 0010111
[4,5,3,7,6,8,2,1] => 0101011 => 1101010 => 0010101
[3,5,4,7,6,8,2,1] => 0101011 => 1101010 => 0010101
[4,3,5,7,6,8,2,1] => 1001011 => 1101001 => 0010110
[3,4,5,7,6,8,2,1] => 0001011 => 1101000 => 0010111
[3,6,5,4,7,8,2,1] => 0110011 => 1100110 => 0011001
[3,5,6,4,7,8,2,1] => 0010011 => 1100100 => 0011011
[4,3,6,5,7,8,2,1] => 1010011 => 1100101 => 0011010
[3,4,6,5,7,8,2,1] => 0010011 => 1100100 => 0011011
[3,5,4,6,7,8,2,1] => 0100011 => 1100010 => 0011101
[2,8,7,6,5,4,3,1] => 0111111 => 1111110 => 0000001
[2,7,8,6,5,4,3,1] => 0011111 => 1111100 => 0000011
[2,6,8,7,5,4,3,1] => 0011111 => 1111100 => 0000011
[2,7,6,8,5,4,3,1] => 0101111 => 1111010 => 0000101
[2,6,7,8,5,4,3,1] => 0001111 => 1111000 => 0000111
[2,5,8,7,6,4,3,1] => 0011111 => 1111100 => 0000011
[2,6,7,5,8,4,3,1] => 0010111 => 1110100 => 0001011
[2,6,5,7,8,4,3,1] => 0100111 => 1110010 => 0001101
[2,5,6,7,8,4,3,1] => 0000111 => 1110000 => 0001111
[2,4,8,7,6,5,3,1] => 0011111 => 1111100 => 0000011
[2,4,7,8,6,5,3,1] => 0001111 => 1111000 => 0000111
[2,4,6,8,7,5,3,1] => 0001111 => 1111000 => 0000111
[2,4,6,7,8,5,3,1] => 0000111 => 1110000 => 0001111
[2,5,4,8,7,6,3,1] => 0101111 => 1111010 => 0000101
[2,5,4,7,8,6,3,1] => 0100111 => 1110010 => 0001101
[2,4,5,7,8,6,3,1] => 0000111 => 1110000 => 0001111
[2,6,5,4,8,7,3,1] => 0110111 => 1110110 => 0001001
[2,5,6,4,8,7,3,1] => 0010111 => 1110100 => 0001011
[2,4,6,5,8,7,3,1] => 0010111 => 1110100 => 0001011
[2,4,5,6,8,7,3,1] => 0000111 => 1110000 => 0001111
[2,7,6,5,4,8,3,1] => 0111011 => 1101110 => 0010001
[2,6,7,5,4,8,3,1] => 0011011 => 1101100 => 0010011
[2,5,6,7,4,8,3,1] => 0001011 => 1101000 => 0010111
[2,4,7,6,5,8,3,1] => 0011011 => 1101100 => 0010011
[2,4,6,7,5,8,3,1] => 0001011 => 1101000 => 0010111
[2,5,4,7,6,8,3,1] => 0101011 => 1101010 => 0010101
[2,6,5,4,7,8,3,1] => 0110011 => 1100110 => 0011001
[2,5,6,4,7,8,3,1] => 0010011 => 1100100 => 0011011
[2,4,6,5,7,8,3,1] => 0010011 => 1100100 => 0011011
[2,5,4,6,7,8,3,1] => 0100011 => 1100010 => 0011101
[2,4,5,6,7,8,3,1] => 0000011 => 1100000 => 0011111
[3,2,8,7,6,5,4,1] => 1011111 => 1111101 => 0000010
[3,2,6,8,7,5,4,1] => 1001111 => 1111001 => 0000110
[3,2,5,7,8,6,4,1] => 1000111 => 1110001 => 0001110
[3,2,6,5,8,7,4,1] => 1010111 => 1110101 => 0001010
[3,2,5,7,6,8,4,1] => 1001011 => 1101001 => 0010110
[3,2,5,6,7,8,4,1] => 1000011 => 1100001 => 0011110
[2,3,8,7,6,5,4,1] => 0011111 => 1111100 => 0000011
[2,3,6,7,8,5,4,1] => 0000111 => 1110000 => 0001111
[2,3,5,7,8,6,4,1] => 0000111 => 1110000 => 0001111
[2,3,6,5,8,7,4,1] => 0010111 => 1110100 => 0001011
[2,3,5,6,8,7,4,1] => 0000111 => 1110000 => 0001111
[2,3,7,6,5,8,4,1] => 0011011 => 1101100 => 0010011
[2,3,5,7,6,8,4,1] => 0001011 => 1101000 => 0010111
[2,3,5,6,7,8,4,1] => 0000011 => 1100000 => 0011111
[4,3,2,8,7,6,5,1] => 1101111 => 1111011 => 0000100
[4,3,2,7,8,6,5,1] => 1100111 => 1110011 => 0001100
[3,4,2,8,7,6,5,1] => 0101111 => 1111010 => 0000101
[3,4,2,7,8,6,5,1] => 0100111 => 1110010 => 0001101
[2,4,3,8,7,6,5,1] => 0101111 => 1111010 => 0000101
[2,4,3,6,8,7,5,1] => 0100111 => 1110010 => 0001101
[2,4,3,6,7,8,5,1] => 0100011 => 1100010 => 0011101
[3,2,4,8,7,6,5,1] => 1001111 => 1111001 => 0000110
[3,2,4,7,8,6,5,1] => 1000111 => 1110001 => 0001110
[2,3,4,8,7,6,5,1] => 0001111 => 1111000 => 0000111
[2,3,4,7,8,6,5,1] => 0000111 => 1110000 => 0001111
[2,3,4,6,8,7,5,1] => 0000111 => 1110000 => 0001111
[2,3,4,7,6,8,5,1] => 0001011 => 1101000 => 0010111
[2,3,4,6,7,8,5,1] => 0000011 => 1100000 => 0011111
[5,4,3,2,8,7,6,1] => 1110111 => 1110111 => 0001000
[5,4,3,2,7,8,6,1] => 1110011 => 1100111 => 0011000
[3,5,4,2,7,8,6,1] => 0110011 => 1100110 => 0011001
[3,4,5,2,7,8,6,1] => 0010011 => 1100100 => 0011011
[2,5,4,3,8,7,6,1] => 0110111 => 1110110 => 0001001
[2,5,4,3,7,8,6,1] => 0110011 => 1100110 => 0011001
[2,4,5,3,8,7,6,1] => 0010111 => 1110100 => 0001011
[2,4,5,3,7,8,6,1] => 0010011 => 1100100 => 0011011
[3,2,5,4,7,8,6,1] => 1010011 => 1100101 => 0011010
[2,3,5,4,8,7,6,1] => 0010111 => 1110100 => 0001011
[2,3,5,4,7,8,6,1] => 0010011 => 1100100 => 0011011
[4,3,2,5,8,7,6,1] => 1100111 => 1110011 => 0001100
[4,3,2,5,7,8,6,1] => 1100011 => 1100011 => 0011100
[3,4,2,5,8,7,6,1] => 0100111 => 1110010 => 0001101
[3,4,2,5,7,8,6,1] => 0100011 => 1100010 => 0011101
[2,4,3,5,8,7,6,1] => 0100111 => 1110010 => 0001101
[3,2,4,5,7,8,6,1] => 1000011 => 1100001 => 0011110
[2,3,4,5,8,7,6,1] => 0000111 => 1110000 => 0001111
[2,3,4,5,7,8,6,1] => 0000011 => 1100000 => 0011111
[6,5,4,3,2,8,7,1] => 1111011 => 1101111 => 0010000
[4,6,5,3,2,8,7,1] => 0111011 => 1101110 => 0010001
[5,4,6,3,2,8,7,1] => 1011011 => 1101101 => 0010010
[4,5,6,3,2,8,7,1] => 0011011 => 1101100 => 0010011
[3,6,5,4,2,8,7,1] => 0111011 => 1101110 => 0010001
[3,5,6,4,2,8,7,1] => 0011011 => 1101100 => 0010011
[4,3,6,5,2,8,7,1] => 1011011 => 1101101 => 0010010
[5,4,3,6,2,8,7,1] => 1101011 => 1101011 => 0010100
[4,5,3,6,2,8,7,1] => 0101011 => 1101010 => 0010101
[3,5,4,6,2,8,7,1] => 0101011 => 1101010 => 0010101
[3,4,5,6,2,8,7,1] => 0001011 => 1101000 => 0010111
[2,6,5,4,3,8,7,1] => 0111011 => 1101110 => 0010001
[2,4,6,5,3,8,7,1] => 0011011 => 1101100 => 0010011
[2,4,5,6,3,8,7,1] => 0001011 => 1101000 => 0010111
[3,2,6,5,4,8,7,1] => 1011011 => 1101101 => 0010010
[2,3,5,6,4,8,7,1] => 0001011 => 1101000 => 0010111
[4,3,2,6,5,8,7,1] => 1101011 => 1101011 => 0010100
[2,4,3,6,5,8,7,1] => 0101011 => 1101010 => 0010101
[3,2,4,6,5,8,7,1] => 1001011 => 1101001 => 0010110
[2,3,4,6,5,8,7,1] => 0001011 => 1101000 => 0010111
[5,4,3,2,6,8,7,1] => 1110011 => 1100111 => 0011000
[4,5,3,2,6,8,7,1] => 0110011 => 1100110 => 0011001
[2,5,4,3,6,8,7,1] => 0110011 => 1100110 => 0011001
[2,4,5,3,6,8,7,1] => 0010011 => 1100100 => 0011011
[3,2,5,4,6,8,7,1] => 1010011 => 1100101 => 0011010
[4,3,2,5,6,8,7,1] => 1100011 => 1100011 => 0011100
[3,4,2,5,6,8,7,1] => 0100011 => 1100010 => 0011101
[2,4,3,5,6,8,7,1] => 0100011 => 1100010 => 0011101
[3,2,4,5,6,8,7,1] => 1000011 => 1100001 => 0011110
[2,3,4,5,6,8,7,1] => 0000011 => 1100000 => 0011111
[5,7,6,4,3,2,8,1] => 0111101 => 1011110 => 0100001
[4,7,6,5,3,2,8,1] => 0111101 => 1011110 => 0100001
[4,6,7,5,3,2,8,1] => 0011101 => 1011100 => 0100011
[4,6,5,7,3,2,8,1] => 0101101 => 1011010 => 0100101
[3,5,7,6,4,2,8,1] => 0011101 => 1011100 => 0100011
[3,5,6,7,4,2,8,1] => 0001101 => 1011000 => 0100111
[4,3,7,6,5,2,8,1] => 1011101 => 1011101 => 0100010
[4,3,6,7,5,2,8,1] => 1001101 => 1011001 => 0100110
[3,4,7,6,5,2,8,1] => 0011101 => 1011100 => 0100011
[3,4,6,7,5,2,8,1] => 0001101 => 1011000 => 0100111
[5,4,3,7,6,2,8,1] => 1101101 => 1011011 => 0100100
[4,5,3,7,6,2,8,1] => 0101101 => 1011010 => 0100101
[3,5,4,7,6,2,8,1] => 0101101 => 1011010 => 0100101
[3,4,5,7,6,2,8,1] => 0001101 => 1011000 => 0100111
[4,6,5,3,7,2,8,1] => 0110101 => 1010110 => 0101001
[3,6,5,4,7,2,8,1] => 0110101 => 1010110 => 0101001
[3,5,6,4,7,2,8,1] => 0010101 => 1010100 => 0101011
[4,3,6,5,7,2,8,1] => 1010101 => 1010101 => 0101010
[3,4,6,5,7,2,8,1] => 0010101 => 1010100 => 0101011
[3,5,4,6,7,2,8,1] => 0100101 => 1010010 => 0101101
[2,7,6,5,4,3,8,1] => 0111101 => 1011110 => 0100001
[2,6,5,7,4,3,8,1] => 0101101 => 1011010 => 0100101
[2,5,6,7,4,3,8,1] => 0001101 => 1011000 => 0100111
[2,4,6,7,5,3,8,1] => 0001101 => 1011000 => 0100111
[2,5,4,7,6,3,8,1] => 0101101 => 1011010 => 0100101
[2,4,6,5,7,3,8,1] => 0010101 => 1010100 => 0101011
[2,5,4,6,7,3,8,1] => 0100101 => 1010010 => 0101101
[2,4,5,6,7,3,8,1] => 0000101 => 1010000 => 0101111
[3,2,7,6,5,4,8,1] => 1011101 => 1011101 => 0100010
[3,2,6,7,5,4,8,1] => 1001101 => 1011001 => 0100110
[3,2,5,7,6,4,8,1] => 1001101 => 1011001 => 0100110
[3,2,6,5,7,4,8,1] => 1010101 => 1010101 => 0101010
[3,2,5,6,7,4,8,1] => 1000101 => 1010001 => 0101110
[2,3,7,6,5,4,8,1] => 0011101 => 1011100 => 0100011
[2,3,5,7,6,4,8,1] => 0001101 => 1011000 => 0100111
[2,3,5,6,7,4,8,1] => 0000101 => 1010000 => 0101111
[4,3,2,7,6,5,8,1] => 1101101 => 1011011 => 0100100
[4,3,2,6,7,5,8,1] => 1100101 => 1010011 => 0101100
[3,4,2,7,6,5,8,1] => 0101101 => 1011010 => 0100101
[3,4,2,6,7,5,8,1] => 0100101 => 1010010 => 0101101
[2,4,3,7,6,5,8,1] => 0101101 => 1011010 => 0100101
[2,4,3,6,7,5,8,1] => 0100101 => 1010010 => 0101101
[3,2,4,7,6,5,8,1] => 1001101 => 1011001 => 0100110
[2,3,4,7,6,5,8,1] => 0001101 => 1011000 => 0100111
[2,3,4,6,7,5,8,1] => 0000101 => 1010000 => 0101111
[5,4,3,2,7,6,8,1] => 1110101 => 1010111 => 0101000
[3,5,4,2,7,6,8,1] => 0110101 => 1010110 => 0101001
[4,3,5,2,7,6,8,1] => 1010101 => 1010101 => 0101010
[3,4,5,2,7,6,8,1] => 0010101 => 1010100 => 0101011
[2,5,4,3,7,6,8,1] => 0110101 => 1010110 => 0101001
[3,2,5,4,7,6,8,1] => 1010101 => 1010101 => 0101010
[2,3,5,4,7,6,8,1] => 0010101 => 1010100 => 0101011
[4,3,2,5,7,6,8,1] => 1100101 => 1010011 => 0101100
[3,4,2,5,7,6,8,1] => 0100101 => 1010010 => 0101101
[2,4,3,5,7,6,8,1] => 0100101 => 1010010 => 0101101
[3,2,4,5,7,6,8,1] => 1000101 => 1010001 => 0101110
[2,3,4,5,7,6,8,1] => 0000101 => 1010000 => 0101111
[3,6,5,4,2,7,8,1] => 0111001 => 1001110 => 0110001
[3,5,6,4,2,7,8,1] => 0011001 => 1001100 => 0110011
[3,4,6,5,2,7,8,1] => 0011001 => 1001100 => 0110011
[3,5,4,6,2,7,8,1] => 0101001 => 1001010 => 0110101
[2,6,5,4,3,7,8,1] => 0111001 => 1001110 => 0110001
[2,5,6,4,3,7,8,1] => 0011001 => 1001100 => 0110011
[2,4,6,5,3,7,8,1] => 0011001 => 1001100 => 0110011
[2,5,4,6,3,7,8,1] => 0101001 => 1001010 => 0110101
[2,4,5,6,3,7,8,1] => 0001001 => 1001000 => 0110111
[3,2,5,6,4,7,8,1] => 1001001 => 1001001 => 0110110
[2,3,6,5,4,7,8,1] => 0011001 => 1001100 => 0110011
[2,3,5,6,4,7,8,1] => 0001001 => 1001000 => 0110111
[4,3,2,6,5,7,8,1] => 1101001 => 1001011 => 0110100
[3,4,2,6,5,7,8,1] => 0101001 => 1001010 => 0110101
[2,4,3,6,5,7,8,1] => 0101001 => 1001010 => 0110101
[2,3,4,6,5,7,8,1] => 0001001 => 1001000 => 0110111
[3,5,4,2,6,7,8,1] => 0110001 => 1000110 => 0111001
[2,5,4,3,6,7,8,1] => 0110001 => 1000110 => 0111001
[2,4,5,3,6,7,8,1] => 0010001 => 1000100 => 0111011
[3,2,5,4,6,7,8,1] => 1010001 => 1000101 => 0111010
[2,3,5,4,6,7,8,1] => 0010001 => 1000100 => 0111011
[2,4,3,5,6,7,8,1] => 0100001 => 1000010 => 0111101
[1,8,7,6,5,4,3,2] => 0111111 => 1111110 => 0000001
[1,7,8,6,5,4,3,2] => 0011111 => 1111100 => 0000011
[1,6,8,7,5,4,3,2] => 0011111 => 1111100 => 0000011
[1,7,6,8,5,4,3,2] => 0101111 => 1111010 => 0000101
[1,6,7,8,5,4,3,2] => 0001111 => 1111000 => 0000111
[1,5,8,7,6,4,3,2] => 0011111 => 1111100 => 0000011
[1,6,5,8,7,4,3,2] => 0101111 => 1111010 => 0000101
[1,7,6,5,8,4,3,2] => 0110111 => 1110110 => 0001001
[1,6,7,5,8,4,3,2] => 0010111 => 1110100 => 0001011
[1,5,7,6,8,4,3,2] => 0010111 => 1110100 => 0001011
[1,6,5,7,8,4,3,2] => 0100111 => 1110010 => 0001101
[1,5,6,7,8,4,3,2] => 0000111 => 1110000 => 0001111
[1,4,8,7,6,5,3,2] => 0011111 => 1111100 => 0000011
[1,4,7,8,6,5,3,2] => 0001111 => 1111000 => 0000111
[1,4,6,8,7,5,3,2] => 0001111 => 1111000 => 0000111
[1,4,6,7,8,5,3,2] => 0000111 => 1110000 => 0001111
[1,5,4,7,8,6,3,2] => 0100111 => 1110010 => 0001101
[1,4,5,8,7,6,3,2] => 0001111 => 1111000 => 0000111
[1,4,5,7,8,6,3,2] => 0000111 => 1110000 => 0001111
[1,6,5,4,8,7,3,2] => 0110111 => 1110110 => 0001001
[1,4,6,5,8,7,3,2] => 0010111 => 1110100 => 0001011
[1,7,6,5,4,8,3,2] => 0111011 => 1101110 => 0010001
[1,4,7,6,5,8,3,2] => 0011011 => 1101100 => 0010011
[1,4,6,7,5,8,3,2] => 0001011 => 1101000 => 0010111
[1,6,5,4,7,8,3,2] => 0110011 => 1100110 => 0011001
[1,5,6,4,7,8,3,2] => 0010011 => 1100100 => 0011011
[1,5,4,6,7,8,3,2] => 0100011 => 1100010 => 0011101
[1,4,5,6,7,8,3,2] => 0000011 => 1100000 => 0011111
[1,3,8,7,6,5,4,2] => 0011111 => 1111100 => 0000011
[1,3,7,8,6,5,4,2] => 0001111 => 1111000 => 0000111
[1,3,6,8,7,5,4,2] => 0001111 => 1111000 => 0000111
[1,3,6,7,8,5,4,2] => 0000111 => 1110000 => 0001111
[1,3,5,8,7,6,4,2] => 0001111 => 1111000 => 0000111
[1,3,5,7,8,6,4,2] => 0000111 => 1110000 => 0001111
[1,3,5,6,8,7,4,2] => 0000111 => 1110000 => 0001111
[1,3,6,7,5,8,4,2] => 0001011 => 1101000 => 0010111
[1,3,5,7,6,8,4,2] => 0001011 => 1101000 => 0010111
[1,3,6,5,7,8,4,2] => 0010011 => 1100100 => 0011011
[1,3,5,6,7,8,4,2] => 0000011 => 1100000 => 0011111
[1,4,3,8,7,6,5,2] => 0101111 => 1111010 => 0000101
[1,4,3,7,8,6,5,2] => 0100111 => 1110010 => 0001101
[1,4,3,6,8,7,5,2] => 0100111 => 1110010 => 0001101
[1,4,3,7,6,8,5,2] => 0101011 => 1101010 => 0010101
[1,4,3,6,7,8,5,2] => 0100011 => 1100010 => 0011101
[1,3,4,8,7,6,5,2] => 0001111 => 1111000 => 0000111
[1,3,4,7,6,8,5,2] => 0001011 => 1101000 => 0010111
[1,3,4,6,7,8,5,2] => 0000011 => 1100000 => 0011111
[1,5,4,3,8,7,6,2] => 0110111 => 1110110 => 0001001
[1,4,5,3,8,7,6,2] => 0010111 => 1110100 => 0001011
[1,4,5,3,7,8,6,2] => 0010011 => 1100100 => 0011011
[1,3,5,4,8,7,6,2] => 0010111 => 1110100 => 0001011
[1,3,5,4,7,8,6,2] => 0010011 => 1100100 => 0011011
[1,4,3,5,8,7,6,2] => 0100111 => 1110010 => 0001101
[1,4,3,5,7,8,6,2] => 0100011 => 1100010 => 0011101
[1,3,4,5,8,7,6,2] => 0000111 => 1110000 => 0001111
[1,3,4,5,7,8,6,2] => 0000011 => 1100000 => 0011111
[1,6,5,4,3,8,7,2] => 0111011 => 1101110 => 0010001
[1,5,6,4,3,8,7,2] => 0011011 => 1101100 => 0010011
[1,4,6,5,3,8,7,2] => 0011011 => 1101100 => 0010011
[1,4,5,6,3,8,7,2] => 0001011 => 1101000 => 0010111
[1,3,6,5,4,8,7,2] => 0011011 => 1101100 => 0010011
[1,4,3,6,5,8,7,2] => 0101011 => 1101010 => 0010101
[1,5,4,3,6,8,7,2] => 0110011 => 1100110 => 0011001
[1,4,5,3,6,8,7,2] => 0010011 => 1100100 => 0011011
[1,3,4,5,6,8,7,2] => 0000011 => 1100000 => 0011111
[1,7,6,5,4,3,8,2] => 0111101 => 1011110 => 0100001
[1,6,7,5,4,3,8,2] => 0011101 => 1011100 => 0100011
[1,6,5,7,4,3,8,2] => 0101101 => 1011010 => 0100101
[1,4,6,7,5,3,8,2] => 0001101 => 1011000 => 0100111
[1,5,6,4,7,3,8,2] => 0010101 => 1010100 => 0101011
[1,4,6,5,7,3,8,2] => 0010101 => 1010100 => 0101011
[1,5,4,6,7,3,8,2] => 0100101 => 1010010 => 0101101
[1,4,5,6,7,3,8,2] => 0000101 => 1010000 => 0101111
[1,3,5,7,6,4,8,2] => 0001101 => 1011000 => 0100111
[1,3,6,5,7,4,8,2] => 0010101 => 1010100 => 0101011
[1,3,5,6,7,4,8,2] => 0000101 => 1010000 => 0101111
[1,4,3,6,7,5,8,2] => 0100101 => 1010010 => 0101101
[1,3,4,7,6,5,8,2] => 0001101 => 1011000 => 0100111
[1,3,4,6,7,5,8,2] => 0000101 => 1010000 => 0101111
[1,3,5,4,7,6,8,2] => 0010101 => 1010100 => 0101011
[1,3,4,5,7,6,8,2] => 0000101 => 1010000 => 0101111
[1,6,5,4,3,7,8,2] => 0111001 => 1001110 => 0110001
[1,5,4,6,3,7,8,2] => 0101001 => 1001010 => 0110101
[1,3,5,6,4,7,8,2] => 0001001 => 1001000 => 0110111
[1,4,3,6,5,7,8,2] => 0101001 => 1001010 => 0110101
[1,3,4,6,5,7,8,2] => 0001001 => 1001000 => 0110111
[1,5,4,3,6,7,8,2] => 0110001 => 1000110 => 0111001
[1,4,5,3,6,7,8,2] => 0010001 => 1000100 => 0111011
[1,3,5,4,6,7,8,2] => 0010001 => 1000100 => 0111011
[1,4,3,5,6,7,8,2] => 0100001 => 1000010 => 0111101
[1,3,4,5,6,7,8,2] => 0000001 => 1000000 => 0111111
[2,1,8,7,6,5,4,3] => 1011111 => 1111101 => 0000010
[2,1,7,8,6,5,4,3] => 1001111 => 1111001 => 0000110
[2,1,6,8,7,5,4,3] => 1001111 => 1111001 => 0000110
[2,1,7,6,8,5,4,3] => 1010111 => 1110101 => 0001010
[2,1,6,7,8,5,4,3] => 1000111 => 1110001 => 0001110
[2,1,5,8,7,6,4,3] => 1001111 => 1111001 => 0000110
[2,1,5,7,8,6,4,3] => 1000111 => 1110001 => 0001110
[2,1,6,5,8,7,4,3] => 1010111 => 1110101 => 0001010
[2,1,5,6,8,7,4,3] => 1000111 => 1110001 => 0001110
[2,1,7,6,5,8,4,3] => 1011011 => 1101101 => 0010010
[2,1,6,7,5,8,4,3] => 1001011 => 1101001 => 0010110
[2,1,5,7,6,8,4,3] => 1001011 => 1101001 => 0010110
[2,1,6,5,7,8,4,3] => 1010011 => 1100101 => 0011010
[2,1,5,6,7,8,4,3] => 1000011 => 1100001 => 0011110
[2,1,4,8,7,6,5,3] => 1001111 => 1111001 => 0000110
[2,1,4,7,8,6,5,3] => 1000111 => 1110001 => 0001110
[2,1,4,6,8,7,5,3] => 1000111 => 1110001 => 0001110
[2,1,4,7,6,8,5,3] => 1001011 => 1101001 => 0010110
[2,1,4,6,7,8,5,3] => 1000011 => 1100001 => 0011110
[2,1,5,4,8,7,6,3] => 1010111 => 1110101 => 0001010
[2,1,5,4,7,8,6,3] => 1010011 => 1100101 => 0011010
[2,1,4,5,8,7,6,3] => 1000111 => 1110001 => 0001110
[2,1,4,5,7,8,6,3] => 1000011 => 1100001 => 0011110
[2,1,6,5,4,8,7,3] => 1011011 => 1101101 => 0010010
[2,1,5,6,4,8,7,3] => 1001011 => 1101001 => 0010110
[2,1,4,6,5,8,7,3] => 1001011 => 1101001 => 0010110
[2,1,5,4,6,8,7,3] => 1010011 => 1100101 => 0011010
[2,1,4,5,6,8,7,3] => 1000011 => 1100001 => 0011110
[2,1,7,6,5,4,8,3] => 1011101 => 1011101 => 0100010
[2,1,6,7,5,4,8,3] => 1001101 => 1011001 => 0100110
[2,1,5,7,6,4,8,3] => 1001101 => 1011001 => 0100110
[2,1,6,5,7,4,8,3] => 1010101 => 1010101 => 0101010
[2,1,5,6,7,4,8,3] => 1000101 => 1010001 => 0101110
[2,1,4,7,6,5,8,3] => 1001101 => 1011001 => 0100110
[2,1,4,6,7,5,8,3] => 1000101 => 1010001 => 0101110
[2,1,5,4,7,6,8,3] => 1010101 => 1010101 => 0101010
[2,1,5,6,4,7,8,3] => 1001001 => 1001001 => 0110110
[2,1,5,4,6,7,8,3] => 1010001 => 1000101 => 0111010
[2,1,4,5,6,7,8,3] => 1000001 => 1000001 => 0111110
[1,2,8,7,6,5,4,3] => 0011111 => 1111100 => 0000011
[1,2,7,8,6,5,4,3] => 0001111 => 1111000 => 0000111
[1,2,7,6,8,5,4,3] => 0010111 => 1110100 => 0001011
[1,2,6,7,8,5,4,3] => 0000111 => 1110000 => 0001111
[1,2,5,8,7,6,4,3] => 0001111 => 1111000 => 0000111
[1,2,6,5,8,7,4,3] => 0010111 => 1110100 => 0001011
[1,2,5,6,8,7,4,3] => 0000111 => 1110000 => 0001111
[1,2,7,6,5,8,4,3] => 0011011 => 1101100 => 0010011
[1,2,5,7,6,8,4,3] => 0001011 => 1101000 => 0010111
[1,2,6,5,7,8,4,3] => 0010011 => 1100100 => 0011011
[1,2,5,6,7,8,4,3] => 0000011 => 1100000 => 0011111
[1,2,4,8,7,6,5,3] => 0001111 => 1111000 => 0000111
[1,2,4,7,8,6,5,3] => 0000111 => 1110000 => 0001111
[1,2,4,6,8,7,5,3] => 0000111 => 1110000 => 0001111
[1,2,4,7,6,8,5,3] => 0001011 => 1101000 => 0010111
[1,2,4,6,7,8,5,3] => 0000011 => 1100000 => 0011111
[1,2,5,4,8,7,6,3] => 0010111 => 1110100 => 0001011
[1,2,4,5,8,7,6,3] => 0000111 => 1110000 => 0001111
[1,2,4,5,7,8,6,3] => 0000011 => 1100000 => 0011111
[1,2,6,5,4,8,7,3] => 0011011 => 1101100 => 0010011
[1,2,5,4,6,8,7,3] => 0010011 => 1100100 => 0011011
[1,2,4,5,6,8,7,3] => 0000011 => 1100000 => 0011111
[1,2,7,6,5,4,8,3] => 0011101 => 1011100 => 0100011
[1,2,5,7,6,4,8,3] => 0001101 => 1011000 => 0100111
[1,2,5,6,7,4,8,3] => 0000101 => 1010000 => 0101111
[1,2,4,7,6,5,8,3] => 0001101 => 1011000 => 0100111
[1,2,5,4,7,6,8,3] => 0010101 => 1010100 => 0101011
[1,2,6,5,4,7,8,3] => 0011001 => 1001100 => 0110011
[1,2,5,6,4,7,8,3] => 0001001 => 1001000 => 0110111
[1,2,4,6,5,7,8,3] => 0001001 => 1001000 => 0110111
[1,2,5,4,6,7,8,3] => 0010001 => 1000100 => 0111011
[1,2,4,5,6,7,8,3] => 0000001 => 1000000 => 0111111
[3,2,1,8,7,6,5,4] => 1101111 => 1111011 => 0000100
[3,2,1,7,8,6,5,4] => 1100111 => 1110011 => 0001100
[3,2,1,6,8,7,5,4] => 1100111 => 1110011 => 0001100
[3,2,1,7,6,8,5,4] => 1101011 => 1101011 => 0010100
[3,2,1,6,7,8,5,4] => 1100011 => 1100011 => 0011100
[3,2,1,5,8,7,6,4] => 1100111 => 1110011 => 0001100
[3,2,1,5,7,8,6,4] => 1100011 => 1100011 => 0011100
[3,2,1,6,5,8,7,4] => 1101011 => 1101011 => 0010100
[3,2,1,5,6,8,7,4] => 1100011 => 1100011 => 0011100
[3,2,1,7,6,5,8,4] => 1101101 => 1011011 => 0100100
[3,2,1,6,7,5,8,4] => 1100101 => 1010011 => 0101100
[3,2,1,5,7,6,8,4] => 1100101 => 1010011 => 0101100
[3,2,1,6,5,7,8,4] => 1101001 => 1001011 => 0110100
[3,2,1,5,6,7,8,4] => 1100001 => 1000011 => 0111100
[2,3,1,8,7,6,5,4] => 0101111 => 1111010 => 0000101
[2,3,1,7,8,6,5,4] => 0100111 => 1110010 => 0001101
[2,3,1,6,8,7,5,4] => 0100111 => 1110010 => 0001101
[2,3,1,7,6,8,5,4] => 0101011 => 1101010 => 0010101
[2,3,1,6,7,8,5,4] => 0100011 => 1100010 => 0011101
[2,3,1,5,7,8,6,4] => 0100011 => 1100010 => 0011101
[2,3,1,6,5,8,7,4] => 0101011 => 1101010 => 0010101
[2,3,1,7,6,5,8,4] => 0101101 => 1011010 => 0100101
[2,3,1,6,7,5,8,4] => 0100101 => 1010010 => 0101101
[2,3,1,5,7,6,8,4] => 0100101 => 1010010 => 0101101
[2,3,1,5,6,7,8,4] => 0100001 => 1000010 => 0111101
[1,3,2,8,7,6,5,4] => 0101111 => 1111010 => 0000101
[1,3,2,6,8,7,5,4] => 0100111 => 1110010 => 0001101
[1,3,2,7,6,8,5,4] => 0101011 => 1101010 => 0010101
[1,3,2,6,7,8,5,4] => 0100011 => 1100010 => 0011101
[1,3,2,5,8,7,6,4] => 0100111 => 1110010 => 0001101
[1,3,2,5,7,8,6,4] => 0100011 => 1100010 => 0011101
[1,3,2,6,5,8,7,4] => 0101011 => 1101010 => 0010101
[1,3,2,5,6,8,7,4] => 0100011 => 1100010 => 0011101
[1,3,2,7,6,5,8,4] => 0101101 => 1011010 => 0100101
[1,3,2,6,7,5,8,4] => 0100101 => 1010010 => 0101101
[1,3,2,5,7,6,8,4] => 0100101 => 1010010 => 0101101
[1,3,2,6,5,7,8,4] => 0101001 => 1001010 => 0110101
[1,3,2,5,6,7,8,4] => 0100001 => 1000010 => 0111101
[2,1,3,8,7,6,5,4] => 1001111 => 1111001 => 0000110
[2,1,3,7,8,6,5,4] => 1000111 => 1110001 => 0001110
[2,1,3,6,8,7,5,4] => 1000111 => 1110001 => 0001110
[2,1,3,6,7,8,5,4] => 1000011 => 1100001 => 0011110
[2,1,3,6,5,8,7,4] => 1001011 => 1101001 => 0010110
[2,1,3,5,7,6,8,4] => 1000101 => 1010001 => 0101110
[2,1,3,5,6,7,8,4] => 1000001 => 1000001 => 0111110
[1,2,3,8,7,6,5,4] => 0001111 => 1111000 => 0000111
[1,2,3,7,8,6,5,4] => 0000111 => 1110000 => 0001111
[1,2,3,6,8,7,5,4] => 0000111 => 1110000 => 0001111
[1,2,3,7,6,8,5,4] => 0001011 => 1101000 => 0010111
[1,2,3,6,7,8,5,4] => 0000011 => 1100000 => 0011111
[1,2,3,5,8,7,6,4] => 0000111 => 1110000 => 0001111
[1,2,3,5,7,8,6,4] => 0000011 => 1100000 => 0011111
[1,2,3,6,5,8,7,4] => 0001011 => 1101000 => 0010111
[1,2,3,5,6,8,7,4] => 0000011 => 1100000 => 0011111
[1,2,3,7,6,5,8,4] => 0001101 => 1011000 => 0100111
[1,2,3,6,7,5,8,4] => 0000101 => 1010000 => 0101111
[1,2,3,5,7,6,8,4] => 0000101 => 1010000 => 0101111
[1,2,3,6,5,7,8,4] => 0001001 => 1001000 => 0110111
[1,2,3,5,6,7,8,4] => 0000001 => 1000000 => 0111111
[4,3,2,1,8,7,6,5] => 1110111 => 1110111 => 0001000
[4,3,2,1,7,8,6,5] => 1110011 => 1100111 => 0011000
[4,3,2,1,6,8,7,5] => 1110011 => 1100111 => 0011000
[4,3,2,1,7,6,8,5] => 1110101 => 1010111 => 0101000
[4,3,2,1,6,7,8,5] => 1110001 => 1000111 => 0111000
[3,4,2,1,8,7,6,5] => 0110111 => 1110110 => 0001001
[3,4,2,1,7,8,6,5] => 0110011 => 1100110 => 0011001
[3,4,2,1,6,8,7,5] => 0110011 => 1100110 => 0011001
[3,4,2,1,7,6,8,5] => 0110101 => 1010110 => 0101001
[3,4,2,1,6,7,8,5] => 0110001 => 1000110 => 0111001
[2,4,3,1,8,7,6,5] => 0110111 => 1110110 => 0001001
[2,4,3,1,7,8,6,5] => 0110011 => 1100110 => 0011001
[2,4,3,1,6,8,7,5] => 0110011 => 1100110 => 0011001
[2,4,3,1,7,6,8,5] => 0110101 => 1010110 => 0101001
[2,4,3,1,6,7,8,5] => 0110001 => 1000110 => 0111001
[3,2,4,1,8,7,6,5] => 1010111 => 1110101 => 0001010
[3,2,4,1,7,8,6,5] => 1010011 => 1100101 => 0011010
[3,2,4,1,6,8,7,5] => 1010011 => 1100101 => 0011010
[3,2,4,1,7,6,8,5] => 1010101 => 1010101 => 0101010
[3,2,4,1,6,7,8,5] => 1010001 => 1000101 => 0111010
[2,3,4,1,8,7,6,5] => 0010111 => 1110100 => 0001011
[2,3,4,1,7,8,6,5] => 0010011 => 1100100 => 0011011
[2,3,4,1,6,8,7,5] => 0010011 => 1100100 => 0011011
[2,3,4,1,7,6,8,5] => 0010101 => 1010100 => 0101011
[2,3,4,1,6,7,8,5] => 0010001 => 1000100 => 0111011
[1,4,3,2,8,7,6,5] => 0110111 => 1110110 => 0001001
[1,4,3,2,6,8,7,5] => 0110011 => 1100110 => 0011001
[1,4,3,2,7,6,8,5] => 0110101 => 1010110 => 0101001
[1,4,3,2,6,7,8,5] => 0110001 => 1000110 => 0111001
[1,3,4,2,8,7,6,5] => 0010111 => 1110100 => 0001011
[1,3,4,2,7,8,6,5] => 0010011 => 1100100 => 0011011
[1,3,4,2,6,8,7,5] => 0010011 => 1100100 => 0011011
[1,3,4,2,7,6,8,5] => 0010101 => 1010100 => 0101011
[1,3,4,2,6,7,8,5] => 0010001 => 1000100 => 0111011
[2,1,4,3,8,7,6,5] => 1010111 => 1110101 => 0001010
[2,1,4,3,7,8,6,5] => 1010011 => 1100101 => 0011010
[2,1,4,3,6,8,7,5] => 1010011 => 1100101 => 0011010
[2,1,4,3,7,6,8,5] => 1010101 => 1010101 => 0101010
[2,1,4,3,6,7,8,5] => 1010001 => 1000101 => 0111010
[1,2,4,3,8,7,6,5] => 0010111 => 1110100 => 0001011
[1,2,4,3,7,8,6,5] => 0010011 => 1100100 => 0011011
[1,2,4,3,6,8,7,5] => 0010011 => 1100100 => 0011011
[1,2,4,3,7,6,8,5] => 0010101 => 1010100 => 0101011
[1,2,4,3,6,7,8,5] => 0010001 => 1000100 => 0111011
[3,2,1,4,8,7,6,5] => 1100111 => 1110011 => 0001100
[3,2,1,4,7,8,6,5] => 1100011 => 1100011 => 0011100
[3,2,1,4,6,8,7,5] => 1100011 => 1100011 => 0011100
[3,2,1,4,7,6,8,5] => 1100101 => 1010011 => 0101100
[3,2,1,4,6,7,8,5] => 1100001 => 1000011 => 0111100
[2,3,1,4,8,7,6,5] => 0100111 => 1110010 => 0001101
[2,3,1,4,7,8,6,5] => 0100011 => 1100010 => 0011101
[2,3,1,4,7,6,8,5] => 0100101 => 1010010 => 0101101
[2,3,1,4,6,7,8,5] => 0100001 => 1000010 => 0111101
[1,3,2,4,8,7,6,5] => 0100111 => 1110010 => 0001101
[1,3,2,4,6,8,7,5] => 0100011 => 1100010 => 0011101
[1,3,2,4,7,6,8,5] => 0100101 => 1010010 => 0101101
[1,3,2,4,6,7,8,5] => 0100001 => 1000010 => 0111101
[2,1,3,4,8,7,6,5] => 1000111 => 1110001 => 0001110
[2,1,3,4,7,8,6,5] => 1000011 => 1100001 => 0011110
[2,1,3,4,7,6,8,5] => 1000101 => 1010001 => 0101110
[2,1,3,4,6,7,8,5] => 1000001 => 1000001 => 0111110
[1,2,3,4,8,7,6,5] => 0000111 => 1110000 => 0001111
[1,2,3,4,7,8,6,5] => 0000011 => 1100000 => 0011111
[1,2,3,4,6,8,7,5] => 0000011 => 1100000 => 0011111
[1,2,3,4,7,6,8,5] => 0000101 => 1010000 => 0101111
[1,2,3,4,6,7,8,5] => 0000001 => 1000000 => 0111111
[5,4,3,2,1,8,7,6] => 1111011 => 1101111 => 0010000
[5,4,3,2,1,7,8,6] => 1111001 => 1001111 => 0110000
[4,5,3,2,1,8,7,6] => 0111011 => 1101110 => 0010001
[3,5,4,2,1,8,7,6] => 0111011 => 1101110 => 0010001
[3,5,4,2,1,7,8,6] => 0111001 => 1001110 => 0110001
[4,3,5,2,1,8,7,6] => 1011011 => 1101101 => 0010010
[3,4,5,2,1,8,7,6] => 0011011 => 1101100 => 0010011
[3,4,5,2,1,7,8,6] => 0011001 => 1001100 => 0110011
[2,5,4,3,1,8,7,6] => 0111011 => 1101110 => 0010001
[2,5,4,3,1,7,8,6] => 0111001 => 1001110 => 0110001
[2,4,5,3,1,8,7,6] => 0011011 => 1101100 => 0010011
[2,4,5,3,1,7,8,6] => 0011001 => 1001100 => 0110011
[3,2,5,4,1,8,7,6] => 1011011 => 1101101 => 0010010
[3,2,5,4,1,7,8,6] => 1011001 => 1001101 => 0110010
[2,3,5,4,1,8,7,6] => 0011011 => 1101100 => 0010011
[4,3,2,5,1,8,7,6] => 1101011 => 1101011 => 0010100
[4,3,2,5,1,7,8,6] => 1101001 => 1001011 => 0110100
[3,4,2,5,1,8,7,6] => 0101011 => 1101010 => 0010101
[3,4,2,5,1,7,8,6] => 0101001 => 1001010 => 0110101
[2,4,3,5,1,8,7,6] => 0101011 => 1101010 => 0010101
[2,4,3,5,1,7,8,6] => 0101001 => 1001010 => 0110101
[3,2,4,5,1,8,7,6] => 1001011 => 1101001 => 0010110
[2,3,4,5,1,8,7,6] => 0001011 => 1101000 => 0010111
[2,3,4,5,1,7,8,6] => 0001001 => 1001000 => 0110111
[1,5,4,3,2,8,7,6] => 0111011 => 1101110 => 0010001
[1,5,4,3,2,7,8,6] => 0111001 => 1001110 => 0110001
[1,4,5,3,2,8,7,6] => 0011011 => 1101100 => 0010011
[1,4,5,3,2,7,8,6] => 0011001 => 1001100 => 0110011
[1,3,5,4,2,7,8,6] => 0011001 => 1001100 => 0110011
[1,4,3,5,2,8,7,6] => 0101011 => 1101010 => 0010101
[1,4,3,5,2,7,8,6] => 0101001 => 1001010 => 0110101
[1,3,4,5,2,8,7,6] => 0001011 => 1101000 => 0010111
[1,3,4,5,2,7,8,6] => 0001001 => 1001000 => 0110111
[2,1,5,4,3,8,7,6] => 1011011 => 1101101 => 0010010
[2,1,4,5,3,8,7,6] => 1001011 => 1101001 => 0010110
[1,2,5,4,3,8,7,6] => 0011011 => 1101100 => 0010011
[1,2,5,4,3,7,8,6] => 0011001 => 1001100 => 0110011
[1,2,4,5,3,8,7,6] => 0001011 => 1101000 => 0010111
[1,2,4,5,3,7,8,6] => 0001001 => 1001000 => 0110111
[1,3,2,5,4,8,7,6] => 0101011 => 1101010 => 0010101
[1,3,2,5,4,7,8,6] => 0101001 => 1001010 => 0110101
[2,1,3,5,4,8,7,6] => 1001011 => 1101001 => 0010110
[2,1,3,5,4,7,8,6] => 1001001 => 1001001 => 0110110
[1,2,3,5,4,8,7,6] => 0001011 => 1101000 => 0010111
[1,2,3,5,4,7,8,6] => 0001001 => 1001000 => 0110111
[4,3,2,1,5,8,7,6] => 1110011 => 1100111 => 0011000
[4,3,2,1,5,7,8,6] => 1110001 => 1000111 => 0111000
[2,4,3,1,5,8,7,6] => 0110011 => 1100110 => 0011001
[3,2,4,1,5,8,7,6] => 1010011 => 1100101 => 0011010
[3,2,4,1,5,7,8,6] => 1010001 => 1000101 => 0111010
[2,3,4,1,5,8,7,6] => 0010011 => 1100100 => 0011011
[2,3,4,1,5,7,8,6] => 0010001 => 1000100 => 0111011
[1,4,3,2,5,8,7,6] => 0110011 => 1100110 => 0011001
[1,4,3,2,5,7,8,6] => 0110001 => 1000110 => 0111001
[1,3,4,2,5,8,7,6] => 0010011 => 1100100 => 0011011
[1,3,4,2,5,7,8,6] => 0010001 => 1000100 => 0111011
[2,1,4,3,5,8,7,6] => 1010011 => 1100101 => 0011010
[2,1,4,3,5,7,8,6] => 1010001 => 1000101 => 0111010
[1,2,4,3,5,8,7,6] => 0010011 => 1100100 => 0011011
[1,2,4,3,5,7,8,6] => 0010001 => 1000100 => 0111011
[3,2,1,4,5,8,7,6] => 1100011 => 1100011 => 0011100
[3,2,1,4,5,7,8,6] => 1100001 => 1000011 => 0111100
[2,3,1,4,5,7,8,6] => 0100001 => 1000010 => 0111101
[1,3,2,4,5,8,7,6] => 0100011 => 1100010 => 0011101
[1,3,2,4,5,7,8,6] => 0100001 => 1000010 => 0111101
[2,1,3,4,5,8,7,6] => 1000011 => 1100001 => 0011110
[2,1,3,4,5,7,8,6] => 1000001 => 1000001 => 0111110
[1,2,3,4,5,8,7,6] => 0000011 => 1100000 => 0011111
[1,2,3,4,5,7,8,6] => 0000001 => 1000000 => 0111111
[6,5,4,3,2,1,8,7] => 1111101 => 1011111 => 0100000
[5,6,4,3,2,1,8,7] => 0111101 => 1011110 => 0100001
[4,6,5,3,2,1,8,7] => 0111101 => 1011110 => 0100001
[5,4,6,3,2,1,8,7] => 1011101 => 1011101 => 0100010
[4,5,6,3,2,1,8,7] => 0011101 => 1011100 => 0100011
[3,6,5,4,2,1,8,7] => 0111101 => 1011110 => 0100001
[3,5,6,4,2,1,8,7] => 0011101 => 1011100 => 0100011
[4,3,6,5,2,1,8,7] => 1011101 => 1011101 => 0100010
[3,4,6,5,2,1,8,7] => 0011101 => 1011100 => 0100011
[5,4,3,6,2,1,8,7] => 1101101 => 1011011 => 0100100
[4,5,3,6,2,1,8,7] => 0101101 => 1011010 => 0100101
[4,3,5,6,2,1,8,7] => 1001101 => 1011001 => 0100110
[3,4,5,6,2,1,8,7] => 0001101 => 1011000 => 0100111
[2,6,5,4,3,1,8,7] => 0111101 => 1011110 => 0100001
[2,5,6,4,3,1,8,7] => 0011101 => 1011100 => 0100011
[2,4,6,5,3,1,8,7] => 0011101 => 1011100 => 0100011
[3,2,6,5,4,1,8,7] => 1011101 => 1011101 => 0100010
[3,2,5,6,4,1,8,7] => 1001101 => 1011001 => 0100110
[2,3,6,5,4,1,8,7] => 0011101 => 1011100 => 0100011
[2,3,5,6,4,1,8,7] => 0001101 => 1011000 => 0100111
[4,3,2,6,5,1,8,7] => 1101101 => 1011011 => 0100100
[3,4,2,6,5,1,8,7] => 0101101 => 1011010 => 0100101
[2,4,3,6,5,1,8,7] => 0101101 => 1011010 => 0100101
[5,4,3,2,6,1,8,7] => 1110101 => 1010111 => 0101000
[4,5,3,2,6,1,8,7] => 0110101 => 1010110 => 0101001
[3,5,4,2,6,1,8,7] => 0110101 => 1010110 => 0101001
[4,3,5,2,6,1,8,7] => 1010101 => 1010101 => 0101010
[3,4,5,2,6,1,8,7] => 0010101 => 1010100 => 0101011
[2,5,4,3,6,1,8,7] => 0110101 => 1010110 => 0101001
[2,4,5,3,6,1,8,7] => 0010101 => 1010100 => 0101011
[3,2,5,4,6,1,8,7] => 1010101 => 1010101 => 0101010
[4,3,2,5,6,1,8,7] => 1100101 => 1010011 => 0101100
[3,4,2,5,6,1,8,7] => 0100101 => 1010010 => 0101101
[2,4,3,5,6,1,8,7] => 0100101 => 1010010 => 0101101
[2,3,4,5,6,1,8,7] => 0000101 => 1010000 => 0101111
[1,6,5,4,3,2,8,7] => 0111101 => 1011110 => 0100001
[1,5,6,4,3,2,8,7] => 0011101 => 1011100 => 0100011
[1,5,4,6,3,2,8,7] => 0101101 => 1011010 => 0100101
[1,3,6,5,4,2,8,7] => 0011101 => 1011100 => 0100011
[1,3,4,5,6,2,8,7] => 0000101 => 1010000 => 0101111
[2,1,6,5,4,3,8,7] => 1011101 => 1011101 => 0100010
[2,1,5,6,4,3,8,7] => 1001101 => 1011001 => 0100110
[2,1,4,6,5,3,8,7] => 1001101 => 1011001 => 0100110
[2,1,5,4,6,3,8,7] => 1010101 => 1010101 => 0101010
[2,1,4,5,6,3,8,7] => 1000101 => 1010001 => 0101110
[1,2,4,5,6,3,8,7] => 0000101 => 1010000 => 0101111
[3,2,1,6,5,4,8,7] => 1101101 => 1011011 => 0100100
[2,3,1,6,5,4,8,7] => 0101101 => 1011010 => 0100101
[1,3,2,6,5,4,8,7] => 0101101 => 1011010 => 0100101
[1,3,2,5,6,4,8,7] => 0100101 => 1010010 => 0101101
[2,1,3,5,6,4,8,7] => 1000101 => 1010001 => 0101110
[1,2,3,6,5,4,8,7] => 0001101 => 1011000 => 0100111
[1,2,3,5,6,4,8,7] => 0000101 => 1010000 => 0101111
[4,3,2,1,6,5,8,7] => 1110101 => 1010111 => 0101000
[3,4,2,1,6,5,8,7] => 0110101 => 1010110 => 0101001
[2,4,3,1,6,5,8,7] => 0110101 => 1010110 => 0101001
[3,2,4,1,6,5,8,7] => 1010101 => 1010101 => 0101010
[2,3,4,1,6,5,8,7] => 0010101 => 1010100 => 0101011
[1,3,4,2,6,5,8,7] => 0010101 => 1010100 => 0101011
[2,1,4,3,6,5,8,7] => 1010101 => 1010101 => 0101010
[1,2,4,3,6,5,8,7] => 0010101 => 1010100 => 0101011
[2,3,1,4,6,5,8,7] => 0100101 => 1010010 => 0101101
[1,3,2,4,6,5,8,7] => 0100101 => 1010010 => 0101101
[2,1,3,4,6,5,8,7] => 1000101 => 1010001 => 0101110
[1,2,3,4,6,5,8,7] => 0000101 => 1010000 => 0101111
[5,4,3,2,1,6,8,7] => 1111001 => 1001111 => 0110000
[4,5,3,2,1,6,8,7] => 0111001 => 1001110 => 0110001
[3,5,4,2,1,6,8,7] => 0111001 => 1001110 => 0110001
[4,3,5,2,1,6,8,7] => 1011001 => 1001101 => 0110010
[3,4,5,2,1,6,8,7] => 0011001 => 1001100 => 0110011
[2,5,4,3,1,6,8,7] => 0111001 => 1001110 => 0110001
[2,4,5,3,1,6,8,7] => 0011001 => 1001100 => 0110011
[3,2,5,4,1,6,8,7] => 1011001 => 1001101 => 0110010
[2,3,5,4,1,6,8,7] => 0011001 => 1001100 => 0110011
[2,4,3,5,1,6,8,7] => 0101001 => 1001010 => 0110101
[2,3,4,5,1,6,8,7] => 0001001 => 1001000 => 0110111
[1,4,5,3,2,6,8,7] => 0011001 => 1001100 => 0110011
[1,3,5,4,2,6,8,7] => 0011001 => 1001100 => 0110011
[1,3,4,5,2,6,8,7] => 0001001 => 1001000 => 0110111
[2,1,4,5,3,6,8,7] => 1001001 => 1001001 => 0110110
[1,2,5,4,3,6,8,7] => 0011001 => 1001100 => 0110011
[2,1,3,5,4,6,8,7] => 1001001 => 1001001 => 0110110
[1,2,3,5,4,6,8,7] => 0001001 => 1001000 => 0110111
[4,3,2,1,5,6,8,7] => 1110001 => 1000111 => 0111000
[3,2,4,1,5,6,8,7] => 1010001 => 1000101 => 0111010
[2,3,4,1,5,6,8,7] => 0010001 => 1000100 => 0111011
[1,4,3,2,5,6,8,7] => 0110001 => 1000110 => 0111001
[1,3,4,2,5,6,8,7] => 0010001 => 1000100 => 0111011
[2,1,4,3,5,6,8,7] => 1010001 => 1000101 => 0111010
[1,2,4,3,5,6,8,7] => 0010001 => 1000100 => 0111011
[3,2,1,4,5,6,8,7] => 1100001 => 1000011 => 0111100
[2,3,1,4,5,6,8,7] => 0100001 => 1000010 => 0111101
[1,3,2,4,5,6,8,7] => 0100001 => 1000010 => 0111101
[2,1,3,4,5,6,8,7] => 1000001 => 1000001 => 0111110
[1,2,3,4,5,6,8,7] => 0000001 => 1000000 => 0111111
[5,7,6,4,3,2,1,8] => 0111110 => 0111110 => 1000001
[4,7,6,5,3,2,1,8] => 0111110 => 0111110 => 1000001
[4,6,7,5,3,2,1,8] => 0011110 => 0111100 => 1000011
[5,4,7,6,3,2,1,8] => 1011110 => 0111101 => 1000010
[4,5,7,6,3,2,1,8] => 0011110 => 0111100 => 1000011
[4,6,5,7,3,2,1,8] => 0101110 => 0111010 => 1000101
[3,5,7,6,4,2,1,8] => 0011110 => 0111100 => 1000011
[3,5,6,7,4,2,1,8] => 0001110 => 0111000 => 1000111
[4,3,7,6,5,2,1,8] => 1011110 => 0111101 => 1000010
[3,4,7,6,5,2,1,8] => 0011110 => 0111100 => 1000011
[5,4,3,7,6,2,1,8] => 1101110 => 0111011 => 1000100
[4,5,3,7,6,2,1,8] => 0101110 => 0111010 => 1000101
[3,5,4,7,6,2,1,8] => 0101110 => 0111010 => 1000101
[4,3,5,7,6,2,1,8] => 1001110 => 0111001 => 1000110
[3,6,5,4,7,2,1,8] => 0110110 => 0110110 => 1001001
[3,5,6,4,7,2,1,8] => 0010110 => 0110100 => 1001011
[4,3,6,5,7,2,1,8] => 1010110 => 0110101 => 1001010
[2,7,6,5,4,3,1,8] => 0111110 => 0111110 => 1000001
[2,6,7,5,4,3,1,8] => 0011110 => 0111100 => 1000011
[2,5,7,6,4,3,1,8] => 0011110 => 0111100 => 1000011
[2,5,6,7,4,3,1,8] => 0001110 => 0111000 => 1000111
[2,4,6,7,5,3,1,8] => 0001110 => 0111000 => 1000111
[2,5,4,7,6,3,1,8] => 0101110 => 0111010 => 1000101
[2,5,6,4,7,3,1,8] => 0010110 => 0110100 => 1001011
[2,5,4,6,7,3,1,8] => 0100110 => 0110010 => 1001101
[2,4,5,6,7,3,1,8] => 0000110 => 0110000 => 1001111
[3,2,7,6,5,4,1,8] => 1011110 => 0111101 => 1000010
[3,2,6,7,5,4,1,8] => 1001110 => 0111001 => 1000110
[3,2,5,7,6,4,1,8] => 1001110 => 0111001 => 1000110
[3,2,6,5,7,4,1,8] => 1010110 => 0110101 => 1001010
[3,2,5,6,7,4,1,8] => 1000110 => 0110001 => 1001110
[2,3,7,6,5,4,1,8] => 0011110 => 0111100 => 1000011
[2,3,6,7,5,4,1,8] => 0001110 => 0111000 => 1000111
[2,3,5,7,6,4,1,8] => 0001110 => 0111000 => 1000111
[2,3,6,5,7,4,1,8] => 0010110 => 0110100 => 1001011
[2,3,5,6,7,4,1,8] => 0000110 => 0110000 => 1001111
[4,3,2,6,7,5,1,8] => 1100110 => 0110011 => 1001100
[3,4,2,7,6,5,1,8] => 0101110 => 0111010 => 1000101
[3,4,2,6,7,5,1,8] => 0100110 => 0110010 => 1001101
[3,2,4,6,7,5,1,8] => 1000110 => 0110001 => 1001110
[2,3,4,7,6,5,1,8] => 0001110 => 0111000 => 1000111
[2,3,4,6,7,5,1,8] => 0000110 => 0110000 => 1001111
[5,4,3,2,7,6,1,8] => 1110110 => 0110111 => 1001000
[4,5,3,2,7,6,1,8] => 0110110 => 0110110 => 1001001
[3,5,4,2,7,6,1,8] => 0110110 => 0110110 => 1001001
[4,3,5,2,7,6,1,8] => 1010110 => 0110101 => 1001010
[3,4,5,2,7,6,1,8] => 0010110 => 0110100 => 1001011
[3,2,5,4,7,6,1,8] => 1010110 => 0110101 => 1001010
[4,3,2,5,7,6,1,8] => 1100110 => 0110011 => 1001100
[3,4,2,5,7,6,1,8] => 0100110 => 0110010 => 1001101
[2,3,4,5,7,6,1,8] => 0000110 => 0110000 => 1001111
[3,6,5,4,2,7,1,8] => 0111010 => 0101110 => 1010001
[3,5,6,4,2,7,1,8] => 0011010 => 0101100 => 1010011
[3,4,6,5,2,7,1,8] => 0011010 => 0101100 => 1010011
[3,5,4,6,2,7,1,8] => 0101010 => 0101010 => 1010101
[2,5,4,6,3,7,1,8] => 0101010 => 0101010 => 1010101
[3,2,6,5,4,7,1,8] => 1011010 => 0101101 => 1010010
[2,3,5,6,4,7,1,8] => 0001010 => 0101000 => 1010111
[4,3,2,6,5,7,1,8] => 1101010 => 0101011 => 1010100
[3,4,2,6,5,7,1,8] => 0101010 => 0101010 => 1010101
[2,4,3,6,5,7,1,8] => 0101010 => 0101010 => 1010101
[2,3,4,6,5,7,1,8] => 0001010 => 0101000 => 1010111
[3,5,4,2,6,7,1,8] => 0110010 => 0100110 => 1011001
[2,5,4,3,6,7,1,8] => 0110010 => 0100110 => 1011001
[2,4,5,3,6,7,1,8] => 0010010 => 0100100 => 1011011
[2,3,5,4,6,7,1,8] => 0010010 => 0100100 => 1011011
[1,7,6,5,4,3,2,8] => 0111110 => 0111110 => 1000001
[1,6,7,5,4,3,2,8] => 0011110 => 0111100 => 1000011
[1,6,5,7,4,3,2,8] => 0101110 => 0111010 => 1000101
[1,5,6,7,4,3,2,8] => 0001110 => 0111000 => 1000111
[1,4,7,6,5,3,2,8] => 0011110 => 0111100 => 1000011
[1,4,6,7,5,3,2,8] => 0001110 => 0111000 => 1000111
[1,5,4,7,6,3,2,8] => 0101110 => 0111010 => 1000101
[1,5,6,4,7,3,2,8] => 0010110 => 0110100 => 1001011
[1,4,6,5,7,3,2,8] => 0010110 => 0110100 => 1001011
[1,5,4,6,7,3,2,8] => 0100110 => 0110010 => 1001101
[1,4,5,6,7,3,2,8] => 0000110 => 0110000 => 1001111
[1,3,7,6,5,4,2,8] => 0011110 => 0111100 => 1000011
[1,3,6,7,5,4,2,8] => 0001110 => 0111000 => 1000111
[1,3,5,7,6,4,2,8] => 0001110 => 0111000 => 1000111
[1,3,6,5,7,4,2,8] => 0010110 => 0110100 => 1001011
[1,3,5,6,7,4,2,8] => 0000110 => 0110000 => 1001111
[1,3,4,6,7,5,2,8] => 0000110 => 0110000 => 1001111
[1,3,5,4,7,6,2,8] => 0010110 => 0110100 => 1001011
[1,4,3,5,7,6,2,8] => 0100110 => 0110010 => 1001101
[1,3,4,5,7,6,2,8] => 0000110 => 0110000 => 1001111
[1,5,4,6,3,7,2,8] => 0101010 => 0101010 => 1010101
[1,4,5,6,3,7,2,8] => 0001010 => 0101000 => 1010111
[1,3,6,5,4,7,2,8] => 0011010 => 0101100 => 1010011
[1,3,5,6,4,7,2,8] => 0001010 => 0101000 => 1010111
[1,4,3,6,5,7,2,8] => 0101010 => 0101010 => 1010101
[1,3,4,6,5,7,2,8] => 0001010 => 0101000 => 1010111
[1,5,4,3,6,7,2,8] => 0110010 => 0100110 => 1011001
[1,4,5,3,6,7,2,8] => 0010010 => 0100100 => 1011011
[1,3,5,4,6,7,2,8] => 0010010 => 0100100 => 1011011
[1,3,4,5,6,7,2,8] => 0000010 => 0100000 => 1011111
[2,1,7,6,5,4,3,8] => 1011110 => 0111101 => 1000010
[2,1,6,7,5,4,3,8] => 1001110 => 0111001 => 1000110
[2,1,5,6,7,4,3,8] => 1000110 => 0110001 => 1001110
[2,1,4,6,7,5,3,8] => 1000110 => 0110001 => 1001110
[2,1,4,5,6,7,3,8] => 1000010 => 0100001 => 1011110
[1,2,7,6,5,4,3,8] => 0011110 => 0111100 => 1000011
[1,2,6,7,5,4,3,8] => 0001110 => 0111000 => 1000111
[1,2,5,7,6,4,3,8] => 0001110 => 0111000 => 1000111
[1,2,5,6,7,4,3,8] => 0000110 => 0110000 => 1001111
[1,2,4,6,7,5,3,8] => 0000110 => 0110000 => 1001111
[1,2,5,6,4,7,3,8] => 0001010 => 0101000 => 1010111
[1,2,5,4,6,7,3,8] => 0010010 => 0100100 => 1011011
[1,2,4,5,6,7,3,8] => 0000010 => 0100000 => 1011111
[3,2,1,7,6,5,4,8] => 1101110 => 0111011 => 1000100
[3,2,1,6,7,5,4,8] => 1100110 => 0110011 => 1001100
[3,2,1,5,7,6,4,8] => 1100110 => 0110011 => 1001100
[3,2,1,5,6,7,4,8] => 1100010 => 0100011 => 1011100
[2,3,1,6,7,5,4,8] => 0100110 => 0110010 => 1001101
[2,3,1,6,5,7,4,8] => 0101010 => 0101010 => 1010101
[2,3,1,5,6,7,4,8] => 0100010 => 0100010 => 1011101
[1,3,2,7,6,5,4,8] => 0101110 => 0111010 => 1000101
[1,3,2,6,7,5,4,8] => 0100110 => 0110010 => 1001101
[1,3,2,5,7,6,4,8] => 0100110 => 0110010 => 1001101
[1,3,2,6,5,7,4,8] => 0101010 => 0101010 => 1010101
[1,3,2,5,6,7,4,8] => 0100010 => 0100010 => 1011101
[2,1,3,6,7,5,4,8] => 1000110 => 0110001 => 1001110
[1,2,3,7,6,5,4,8] => 0001110 => 0111000 => 1000111
[1,2,3,6,7,5,4,8] => 0000110 => 0110000 => 1001111
[1,2,3,5,7,6,4,8] => 0000110 => 0110000 => 1001111
[1,2,3,6,5,7,4,8] => 0001010 => 0101000 => 1010111
[1,2,3,5,6,7,4,8] => 0000010 => 0100000 => 1011111
[4,3,2,1,7,6,5,8] => 1110110 => 0110111 => 1001000
[4,3,2,1,6,7,5,8] => 1110010 => 0100111 => 1011000
[3,2,4,1,7,6,5,8] => 1010110 => 0110101 => 1001010
[3,2,4,1,6,7,5,8] => 1010010 => 0100101 => 1011010
[2,3,4,1,7,6,5,8] => 0010110 => 0110100 => 1001011
[2,3,4,1,6,7,5,8] => 0010010 => 0100100 => 1011011
[1,4,3,2,7,6,5,8] => 0110110 => 0110110 => 1001001
[1,4,3,2,6,7,5,8] => 0110010 => 0100110 => 1011001
[1,3,4,2,6,7,5,8] => 0010010 => 0100100 => 1011011
[1,2,4,3,6,7,5,8] => 0010010 => 0100100 => 1011011
[3,2,1,4,7,6,5,8] => 1100110 => 0110011 => 1001100
[2,3,1,4,6,7,5,8] => 0100010 => 0100010 => 1011101
[1,3,2,4,7,6,5,8] => 0100110 => 0110010 => 1001101
[2,1,3,4,6,7,5,8] => 1000010 => 0100001 => 1011110
[1,2,3,4,7,6,5,8] => 0000110 => 0110000 => 1001111
[1,2,3,4,6,7,5,8] => 0000010 => 0100000 => 1011111
[5,4,3,2,1,7,6,8] => 1111010 => 0101111 => 1010000
[4,5,3,2,1,7,6,8] => 0111010 => 0101110 => 1010001
[3,5,4,2,1,7,6,8] => 0111010 => 0101110 => 1010001
[3,4,5,2,1,7,6,8] => 0011010 => 0101100 => 1010011
[2,5,4,3,1,7,6,8] => 0111010 => 0101110 => 1010001
[2,4,5,3,1,7,6,8] => 0011010 => 0101100 => 1010011
[3,2,5,4,1,7,6,8] => 1011010 => 0101101 => 1010010
[2,3,5,4,1,7,6,8] => 0011010 => 0101100 => 1010011
[3,4,2,5,1,7,6,8] => 0101010 => 0101010 => 1010101
[2,4,3,5,1,7,6,8] => 0101010 => 0101010 => 1010101
[2,3,4,5,1,7,6,8] => 0001010 => 0101000 => 1010111
[1,5,4,3,2,7,6,8] => 0111010 => 0101110 => 1010001
[1,4,5,3,2,7,6,8] => 0011010 => 0101100 => 1010011
[1,3,5,4,2,7,6,8] => 0011010 => 0101100 => 1010011
[1,4,3,5,2,7,6,8] => 0101010 => 0101010 => 1010101
[1,3,4,5,2,7,6,8] => 0001010 => 0101000 => 1010111
[2,1,5,4,3,7,6,8] => 1011010 => 0101101 => 1010010
[1,2,4,5,3,7,6,8] => 0001010 => 0101000 => 1010111
[3,2,1,5,4,7,6,8] => 1101010 => 0101011 => 1010100
[2,3,1,5,4,7,6,8] => 0101010 => 0101010 => 1010101
[1,3,2,5,4,7,6,8] => 0101010 => 0101010 => 1010101
[1,2,3,5,4,7,6,8] => 0001010 => 0101000 => 1010111
[4,3,2,1,5,7,6,8] => 1110010 => 0100111 => 1011000
[3,2,4,1,5,7,6,8] => 1010010 => 0100101 => 1011010
[2,3,4,1,5,7,6,8] => 0010010 => 0100100 => 1011011
[1,4,3,2,5,7,6,8] => 0110010 => 0100110 => 1011001
[1,3,4,2,5,7,6,8] => 0010010 => 0100100 => 1011011
[1,2,4,3,5,7,6,8] => 0010010 => 0100100 => 1011011
[2,3,1,4,5,7,6,8] => 0100010 => 0100010 => 1011101
[1,3,2,4,5,7,6,8] => 0100010 => 0100010 => 1011101
[2,1,3,4,5,7,6,8] => 1000010 => 0100001 => 1011110
[1,2,3,4,5,7,6,8] => 0000010 => 0100000 => 1011111
[3,6,5,4,2,1,7,8] => 0111100 => 0011110 => 1100001
[4,3,6,5,2,1,7,8] => 1011100 => 0011101 => 1100010
[2,4,6,5,3,1,7,8] => 0011100 => 0011100 => 1100011
[2,4,5,6,3,1,7,8] => 0001100 => 0011000 => 1100111
[2,3,6,5,4,1,7,8] => 0011100 => 0011100 => 1100011
[2,3,5,6,4,1,7,8] => 0001100 => 0011000 => 1100111
[4,3,2,6,5,1,7,8] => 1101100 => 0011011 => 1100100
[2,4,3,6,5,1,7,8] => 0101100 => 0011010 => 1100101
[2,3,4,6,5,1,7,8] => 0001100 => 0011000 => 1100111
[3,5,4,2,6,1,7,8] => 0110100 => 0010110 => 1101001
[2,3,5,4,6,1,7,8] => 0010100 => 0010100 => 1101011
[1,6,5,4,3,2,7,8] => 0111100 => 0011110 => 1100001
[1,5,6,4,3,2,7,8] => 0011100 => 0011100 => 1100011
[1,4,6,5,3,2,7,8] => 0011100 => 0011100 => 1100011
[1,5,4,6,3,2,7,8] => 0101100 => 0011010 => 1100101
[1,4,5,6,3,2,7,8] => 0001100 => 0011000 => 1100111
[1,3,5,6,4,2,7,8] => 0001100 => 0011000 => 1100111
[1,4,3,6,5,2,7,8] => 0101100 => 0011010 => 1100101
[1,5,4,3,6,2,7,8] => 0110100 => 0010110 => 1101001
[1,4,5,3,6,2,7,8] => 0010100 => 0010100 => 1101011
[1,3,5,4,6,2,7,8] => 0010100 => 0010100 => 1101011
[1,4,3,5,6,2,7,8] => 0100100 => 0010010 => 1101101
[1,3,4,5,6,2,7,8] => 0000100 => 0010000 => 1101111
[2,1,5,6,4,3,7,8] => 1001100 => 0011001 => 1100110
[2,1,4,6,5,3,7,8] => 1001100 => 0011001 => 1100110
[1,2,6,5,4,3,7,8] => 0011100 => 0011100 => 1100011
[1,2,5,6,4,3,7,8] => 0001100 => 0011000 => 1100111
[1,2,4,6,5,3,7,8] => 0001100 => 0011000 => 1100111
[1,2,4,5,6,3,7,8] => 0000100 => 0010000 => 1101111
[3,2,1,6,5,4,7,8] => 1101100 => 0011011 => 1100100
[3,2,1,5,6,4,7,8] => 1100100 => 0010011 => 1101100
[2,3,1,6,5,4,7,8] => 0101100 => 0011010 => 1100101
[2,3,1,5,6,4,7,8] => 0100100 => 0010010 => 1101101
[1,3,2,6,5,4,7,8] => 0101100 => 0011010 => 1100101
[1,3,2,5,6,4,7,8] => 0100100 => 0010010 => 1101101
[1,2,3,6,5,4,7,8] => 0001100 => 0011000 => 1100111
[1,2,3,5,6,4,7,8] => 0000100 => 0010000 => 1101111
[4,3,2,1,6,5,7,8] => 1110100 => 0010111 => 1101000
[2,4,3,1,6,5,7,8] => 0110100 => 0010110 => 1101001
[3,2,4,1,6,5,7,8] => 1010100 => 0010101 => 1101010
[2,3,4,1,6,5,7,8] => 0010100 => 0010100 => 1101011
[2,1,4,3,6,5,7,8] => 1010100 => 0010101 => 1101010
[1,2,4,3,6,5,7,8] => 0010100 => 0010100 => 1101011
[1,3,2,4,6,5,7,8] => 0100100 => 0010010 => 1101101
[2,1,3,4,6,5,7,8] => 1000100 => 0010001 => 1101110
[1,2,3,4,6,5,7,8] => 0000100 => 0010000 => 1101111
[3,5,4,2,1,6,7,8] => 0111000 => 0001110 => 1110001
[2,5,4,3,1,6,7,8] => 0111000 => 0001110 => 1110001
[2,4,5,3,1,6,7,8] => 0011000 => 0001100 => 1110011
[3,2,5,4,1,6,7,8] => 1011000 => 0001101 => 1110010
[2,3,5,4,1,6,7,8] => 0011000 => 0001100 => 1110011
[2,4,3,5,1,6,7,8] => 0101000 => 0001010 => 1110101
[1,5,4,3,2,6,7,8] => 0111000 => 0001110 => 1110001
[1,4,5,3,2,6,7,8] => 0011000 => 0001100 => 1110011
[1,3,5,4,2,6,7,8] => 0011000 => 0001100 => 1110011
[1,3,4,5,2,6,7,8] => 0001000 => 0001000 => 1110111
[2,1,5,4,3,6,7,8] => 1011000 => 0001101 => 1110010
[2,1,4,5,3,6,7,8] => 1001000 => 0001001 => 1110110
[1,2,5,4,3,6,7,8] => 0011000 => 0001100 => 1110011
[3,2,1,5,4,6,7,8] => 1101000 => 0001011 => 1110100
[2,3,1,5,4,6,7,8] => 0101000 => 0001010 => 1110101
[1,3,2,5,4,6,7,8] => 0101000 => 0001010 => 1110101
[1,2,3,5,4,6,7,8] => 0001000 => 0001000 => 1110111
[2,4,3,1,5,6,7,8] => 0110000 => 0000110 => 1111001
[1,4,3,2,5,6,7,8] => 0110000 => 0000110 => 1111001
[1,3,4,2,5,6,7,8] => 0010000 => 0000100 => 1111011
[2,1,4,3,5,6,7,8] => 1010000 => 0000101 => 1111010
[1,2,4,3,5,6,7,8] => 0010000 => 0000100 => 1111011
[1,3,2,4,5,6,7,8] => 0100000 => 0000010 => 1111101
[1,2,3,4,8,6,7,5] => 0000101 => 1010000 => 0101111
[1,2,3,5,8,6,7,4] => 0000101 => 1010000 => 0101111
[1,2,3,7,5,6,4,8] => 0001010 => 0101000 => 1010111
[1,2,3,7,5,6,8,4] => 0001001 => 1001000 => 0110111
[1,2,3,8,5,6,7,4] => 0001001 => 1001000 => 0110111
[1,2,3,8,5,7,6,4] => 0001011 => 1101000 => 0010111
[1,2,3,8,6,5,7,4] => 0001101 => 1011000 => 0100111
[1,2,3,8,6,7,5,4] => 0001011 => 1101000 => 0010111
[1,2,4,5,8,6,7,3] => 0000101 => 1010000 => 0101111
[1,2,4,7,5,6,8,3] => 0001001 => 1001000 => 0110111
[1,2,4,8,5,6,7,3] => 0001001 => 1001000 => 0110111
[1,2,4,8,6,5,7,3] => 0001101 => 1011000 => 0100111
[1,2,5,4,8,6,7,3] => 0010101 => 1010100 => 0101011
[1,2,6,4,5,3,7,8] => 0010100 => 0010100 => 1101011
[1,2,6,4,5,7,8,3] => 0010001 => 1000100 => 0111011
[1,2,6,4,5,8,7,3] => 0010011 => 1100100 => 0011011
[1,2,7,4,5,6,8,3] => 0010001 => 1000100 => 0111011
[1,2,8,4,5,6,7,3] => 0010001 => 1000100 => 0111011
[1,2,8,4,6,7,5,3] => 0010011 => 1100100 => 0011011
[1,2,8,4,7,6,5,3] => 0010111 => 1110100 => 0001011
[1,2,7,5,4,6,3,8] => 0011010 => 0101100 => 1010011
[1,2,7,5,4,6,8,3] => 0011001 => 1001100 => 0110011
[1,2,8,5,4,6,7,3] => 0011001 => 1001100 => 0110011
[1,2,8,5,4,7,6,3] => 0011011 => 1101100 => 0010011
[1,2,8,5,6,4,7,3] => 0010101 => 1010100 => 0101011
[1,2,8,5,6,7,4,3] => 0010011 => 1100100 => 0011011
[1,2,8,6,5,4,7,3] => 0011101 => 1011100 => 0100011
[1,2,8,6,5,7,4,3] => 0011011 => 1101100 => 0010011
[1,2,8,7,5,6,4,3] => 0011011 => 1101100 => 0010011
[1,3,2,4,8,6,7,5] => 0100101 => 1010010 => 0101101
[1,3,2,7,5,6,8,4] => 0101001 => 1001010 => 0110101
[1,3,2,8,5,7,6,4] => 0101011 => 1101010 => 0010101
[1,3,2,8,6,5,7,4] => 0101101 => 1011010 => 0100101
[1,3,2,8,6,7,5,4] => 0101011 => 1101010 => 0010101
[1,3,4,2,8,6,7,5] => 0010101 => 1010100 => 0101011
[1,3,4,5,8,6,7,2] => 0000101 => 1010000 => 0101111
[1,3,4,8,5,6,7,2] => 0001001 => 1001000 => 0110111
[1,3,4,8,6,5,7,2] => 0001101 => 1011000 => 0100111
[1,3,4,8,6,7,5,2] => 0001011 => 1101000 => 0010111
[1,3,6,4,5,2,8,7] => 0010101 => 1010100 => 0101011
[1,3,6,4,5,7,2,8] => 0010010 => 0100100 => 1011011
[1,3,6,4,5,7,8,2] => 0010001 => 1000100 => 0111011
[1,3,6,4,5,8,7,2] => 0010011 => 1100100 => 0011011
[1,3,7,4,5,6,2,8] => 0010010 => 0100100 => 1011011
[1,3,7,4,5,6,8,2] => 0010001 => 1000100 => 0111011
[1,3,8,4,5,6,7,2] => 0010001 => 1000100 => 0111011
[1,3,8,4,6,5,7,2] => 0010101 => 1010100 => 0101011
[1,3,8,5,4,6,7,2] => 0011001 => 1001100 => 0110011
[1,3,8,5,4,7,6,2] => 0011011 => 1101100 => 0010011
[1,3,8,5,6,7,4,2] => 0010011 => 1100100 => 0011011
[1,3,8,5,7,6,4,2] => 0010111 => 1110100 => 0001011
[1,3,8,6,5,7,4,2] => 0011011 => 1101100 => 0010011
[1,3,8,7,5,6,4,2] => 0011011 => 1101100 => 0010011
[1,4,3,5,8,6,7,2] => 0100101 => 1010010 => 0101101
[1,4,3,8,5,6,7,2] => 0101001 => 1001010 => 0110101
[1,4,3,8,5,7,6,2] => 0101011 => 1101010 => 0010101
[1,4,3,8,6,5,7,2] => 0101101 => 1011010 => 0100101
[1,4,3,8,6,7,5,2] => 0101011 => 1101010 => 0010101
[1,5,3,4,2,6,7,8] => 0101000 => 0001010 => 1110101
[1,5,3,4,2,7,8,6] => 0101001 => 1001010 => 0110101
[1,5,3,4,2,8,7,6] => 0101011 => 1101010 => 0010101
[1,5,3,4,6,2,7,8] => 0100100 => 0010010 => 1101101
[1,5,3,4,6,2,8,7] => 0100101 => 1010010 => 0101101
[1,5,3,4,6,7,2,8] => 0100010 => 0100010 => 1011101
[1,5,3,4,6,7,8,2] => 0100001 => 1000010 => 0111101
[1,5,3,4,7,6,2,8] => 0100110 => 0110010 => 1001101
[1,5,3,4,8,6,7,2] => 0100101 => 1010010 => 0101101
[1,6,3,4,5,2,7,8] => 0100100 => 0010010 => 1101101
[1,6,3,4,5,8,7,2] => 0100011 => 1100010 => 0011101
[1,7,3,4,5,6,2,8] => 0100010 => 0100010 => 1011101
[1,7,3,4,5,6,8,2] => 0100001 => 1000010 => 0111101
[1,8,3,4,5,6,7,2] => 0100001 => 1000010 => 0111101
[1,8,3,4,6,7,5,2] => 0100011 => 1100010 => 0011101
[1,6,3,5,4,2,7,8] => 0101100 => 0011010 => 1100101
[1,6,3,5,4,8,7,2] => 0101011 => 1101010 => 0010101
[1,7,3,5,4,6,2,8] => 0101010 => 0101010 => 1010101
[1,8,3,5,4,6,7,2] => 0101001 => 1001010 => 0110101
[1,8,3,5,4,7,6,2] => 0101011 => 1101010 => 0010101
[1,8,3,5,6,4,7,2] => 0100101 => 1010010 => 0101101
[1,8,3,5,6,7,4,2] => 0100011 => 1100010 => 0011101
[1,8,3,5,7,6,4,2] => 0100111 => 1110010 => 0001101
[1,7,3,6,5,4,2,8] => 0101110 => 0111010 => 1000101
[1,7,3,6,5,4,8,2] => 0101101 => 1011010 => 0100101
[1,8,3,6,5,4,7,2] => 0101101 => 1011010 => 0100101
[1,8,3,7,5,6,4,2] => 0101011 => 1101010 => 0010101
[1,8,3,7,6,5,4,2] => 0101111 => 1111010 => 0000101
[1,6,4,3,5,2,7,8] => 0110100 => 0010110 => 1101001
[1,6,4,3,5,8,7,2] => 0110011 => 1100110 => 0011001
[1,8,4,3,5,6,7,2] => 0110001 => 1000110 => 0111001
[1,8,4,3,5,7,6,2] => 0110011 => 1100110 => 0011001
[1,7,4,3,6,5,8,2] => 0110101 => 1010110 => 0101001
[1,8,4,3,6,5,7,2] => 0110101 => 1010110 => 0101001
[1,8,4,3,6,7,5,2] => 0110011 => 1100110 => 0011001
[1,6,4,5,3,2,7,8] => 0101100 => 0011010 => 1100101
[1,6,4,5,3,2,8,7] => 0101101 => 1011010 => 0100101
[1,6,4,5,3,8,7,2] => 0101011 => 1101010 => 0010101
[1,7,4,5,3,6,8,2] => 0101001 => 1001010 => 0110101
[1,8,4,5,3,6,7,2] => 0101001 => 1001010 => 0110101
[1,7,4,5,6,3,2,8] => 0100110 => 0110010 => 1001101
[1,7,4,5,6,3,8,2] => 0100101 => 1010010 => 0101101
[1,8,4,5,6,3,7,2] => 0100101 => 1010010 => 0101101
[1,8,4,5,6,7,3,2] => 0100011 => 1100010 => 0011101
[1,7,4,6,5,3,2,8] => 0101110 => 0111010 => 1000101
[1,8,4,6,5,3,7,2] => 0101101 => 1011010 => 0100101
[1,8,4,6,5,7,3,2] => 0101011 => 1101010 => 0010101
[1,8,4,7,6,5,3,2] => 0101111 => 1111010 => 0000101
[1,7,5,4,3,6,2,8] => 0111010 => 0101110 => 1010001
[1,7,5,4,3,6,8,2] => 0111001 => 1001110 => 0110001
[1,8,5,4,3,6,7,2] => 0111001 => 1001110 => 0110001
[1,8,5,4,3,7,6,2] => 0111011 => 1101110 => 0010001
[1,8,5,4,6,3,7,2] => 0110101 => 1010110 => 0101001
[1,8,5,4,6,7,3,2] => 0110011 => 1100110 => 0011001
[1,8,5,4,7,6,3,2] => 0110111 => 1110110 => 0001001
[1,7,6,4,5,3,2,8] => 0110110 => 0110110 => 1001001
[1,8,6,4,5,3,7,2] => 0110101 => 1010110 => 0101001
[1,8,6,4,5,7,3,2] => 0110011 => 1100110 => 0011001
[1,8,7,4,5,6,3,2] => 0110011 => 1100110 => 0011001
[1,8,7,4,6,5,3,2] => 0110111 => 1110110 => 0001001
[1,8,6,5,4,3,7,2] => 0111101 => 1011110 => 0100001
[1,8,6,5,4,7,3,2] => 0111011 => 1101110 => 0010001
[1,8,7,5,4,6,3,2] => 0111011 => 1101110 => 0010001
[1,8,7,5,6,4,3,2] => 0110111 => 1110110 => 0001001
[2,1,3,4,8,6,7,5] => 1000101 => 1010001 => 0101110
[2,1,3,5,8,6,7,4] => 1000101 => 1010001 => 0101110
[2,1,3,8,5,6,7,4] => 1001001 => 1001001 => 0110110
[2,1,3,8,5,7,6,4] => 1001011 => 1101001 => 0010110
[2,1,3,8,6,5,7,4] => 1001101 => 1011001 => 0100110
[2,1,3,8,6,7,5,4] => 1001011 => 1101001 => 0010110
[2,1,4,3,8,6,7,5] => 1010101 => 1010101 => 0101010
[2,1,4,5,8,6,7,3] => 1000101 => 1010001 => 0101110
[2,1,4,8,5,6,7,3] => 1001001 => 1001001 => 0110110
[2,1,4,8,5,7,6,3] => 1001011 => 1101001 => 0010110
[2,1,4,8,6,5,7,3] => 1001101 => 1011001 => 0100110
[2,1,4,8,6,7,5,3] => 1001011 => 1101001 => 0010110
[2,1,5,4,8,6,7,3] => 1010101 => 1010101 => 0101010
[2,1,6,4,5,3,8,7] => 1010101 => 1010101 => 0101010
[2,1,6,4,5,7,8,3] => 1010001 => 1000101 => 0111010
[2,1,6,4,5,8,7,3] => 1010011 => 1100101 => 0011010
[2,1,8,4,5,6,7,3] => 1010001 => 1000101 => 0111010
[2,1,8,4,5,7,6,3] => 1010011 => 1100101 => 0011010
[2,1,7,4,6,5,8,3] => 1010101 => 1010101 => 0101010
[2,1,8,4,6,5,7,3] => 1010101 => 1010101 => 0101010
[2,1,8,4,6,7,5,3] => 1010011 => 1100101 => 0011010
[2,1,8,4,7,6,5,3] => 1010111 => 1110101 => 0001010
[2,1,7,5,4,6,8,3] => 1011001 => 1001101 => 0110010
[2,1,8,5,4,6,7,3] => 1011001 => 1001101 => 0110010
[2,1,8,5,4,7,6,3] => 1011011 => 1101101 => 0010010
[2,1,7,5,6,4,8,3] => 1010101 => 1010101 => 0101010
[2,1,8,5,6,4,7,3] => 1010101 => 1010101 => 0101010
[2,1,8,5,6,7,4,3] => 1010011 => 1100101 => 0011010
[2,1,8,5,7,6,4,3] => 1010111 => 1110101 => 0001010
[2,1,8,6,5,4,7,3] => 1011101 => 1011101 => 0100010
[2,1,8,6,5,7,4,3] => 1011011 => 1101101 => 0010010
[2,1,8,7,5,6,4,3] => 1011011 => 1101101 => 0010010
[2,3,1,7,5,6,4,8] => 0101010 => 0101010 => 1010101
[2,3,1,8,5,6,7,4] => 0101001 => 1001010 => 0110101
[2,3,1,8,6,7,5,4] => 0101011 => 1101010 => 0010101
[2,3,4,1,8,6,7,5] => 0010101 => 1010100 => 0101011
[2,3,4,5,8,6,7,1] => 0000101 => 1010000 => 0101111
[2,3,4,7,5,6,1,8] => 0001010 => 0101000 => 1010111
[2,3,4,7,5,6,8,1] => 0001001 => 1001000 => 0110111
[2,3,4,8,5,6,7,1] => 0001001 => 1001000 => 0110111
[2,3,4,8,5,7,6,1] => 0001011 => 1101000 => 0010111
[2,3,4,8,6,5,7,1] => 0001101 => 1011000 => 0100111
[2,3,4,8,6,7,5,1] => 0001011 => 1101000 => 0010111
[2,3,5,4,8,6,7,1] => 0010101 => 1010100 => 0101011
[2,3,6,4,5,1,7,8] => 0010100 => 0010100 => 1101011
[2,3,6,4,5,1,8,7] => 0010101 => 1010100 => 0101011
[2,3,6,4,5,7,8,1] => 0010001 => 1000100 => 0111011
[2,3,6,4,5,8,7,1] => 0010011 => 1100100 => 0011011
[2,3,7,4,5,6,8,1] => 0010001 => 1000100 => 0111011
[2,3,8,4,5,6,7,1] => 0010001 => 1000100 => 0111011
[2,3,7,4,6,5,8,1] => 0010101 => 1010100 => 0101011
[2,3,8,4,6,7,5,1] => 0010011 => 1100100 => 0011011
[2,3,7,5,4,6,1,8] => 0011010 => 0101100 => 1010011
[2,3,7,5,4,6,8,1] => 0011001 => 1001100 => 0110011
[2,3,8,5,4,6,7,1] => 0011001 => 1001100 => 0110011
[2,3,7,5,6,4,1,8] => 0010110 => 0110100 => 1001011
[2,3,7,5,6,4,8,1] => 0010101 => 1010100 => 0101011
[2,3,8,5,6,4,7,1] => 0010101 => 1010100 => 0101011
[2,3,8,5,6,7,4,1] => 0010011 => 1100100 => 0011011
[2,3,8,5,7,6,4,1] => 0010111 => 1110100 => 0001011
[2,3,8,6,5,4,7,1] => 0011101 => 1011100 => 0100011
[2,4,3,1,8,6,7,5] => 0110101 => 1010110 => 0101001
[2,4,3,5,8,6,7,1] => 0100101 => 1010010 => 0101101
[2,4,3,7,5,6,8,1] => 0101001 => 1001010 => 0110101
[2,4,3,8,5,6,7,1] => 0101001 => 1001010 => 0110101
[2,4,3,8,5,7,6,1] => 0101011 => 1101010 => 0010101
[2,4,3,8,6,5,7,1] => 0101101 => 1011010 => 0100101
[2,4,3,8,6,7,5,1] => 0101011 => 1101010 => 0010101
[2,5,3,4,1,6,7,8] => 0101000 => 0001010 => 1110101
[2,5,3,4,1,8,7,6] => 0101011 => 1101010 => 0010101
[2,5,3,4,6,7,1,8] => 0100010 => 0100010 => 1011101
[2,5,3,4,6,7,8,1] => 0100001 => 1000010 => 0111101
[2,5,3,4,6,8,7,1] => 0100011 => 1100010 => 0011101
[2,5,3,4,7,6,8,1] => 0100101 => 1010010 => 0101101
[2,5,3,4,8,6,7,1] => 0100101 => 1010010 => 0101101
[2,5,3,4,8,7,6,1] => 0100111 => 1110010 => 0001101
[2,6,3,4,5,1,7,8] => 0100100 => 0010010 => 1101101
[2,6,3,4,5,7,8,1] => 0100001 => 1000010 => 0111101
[2,6,3,4,5,8,7,1] => 0100011 => 1100010 => 0011101
[2,7,3,4,5,6,1,8] => 0100010 => 0100010 => 1011101
[2,8,3,4,5,6,7,1] => 0100001 => 1000010 => 0111101
[2,8,3,4,5,7,6,1] => 0100011 => 1100010 => 0011101
[2,6,3,5,4,1,7,8] => 0101100 => 0011010 => 1100101
[2,6,3,5,4,1,8,7] => 0101101 => 1011010 => 0100101
[2,6,3,5,4,7,8,1] => 0101001 => 1001010 => 0110101
[2,6,3,5,4,8,7,1] => 0101011 => 1101010 => 0010101
[2,7,3,5,4,6,8,1] => 0101001 => 1001010 => 0110101
[2,8,3,5,4,7,6,1] => 0101011 => 1101010 => 0010101
[2,7,3,5,6,4,8,1] => 0100101 => 1010010 => 0101101
[2,8,3,5,6,7,4,1] => 0100011 => 1100010 => 0011101
[2,8,3,5,7,6,4,1] => 0100111 => 1110010 => 0001101
[2,7,3,6,5,4,1,8] => 0101110 => 0111010 => 1000101
[2,8,3,7,5,6,4,1] => 0101011 => 1101010 => 0010101
[2,8,3,7,6,5,4,1] => 0101111 => 1111010 => 0000101
[2,5,4,3,8,6,7,1] => 0110101 => 1010110 => 0101001
[2,6,4,3,5,1,8,7] => 0110101 => 1010110 => 0101001
[2,6,4,3,5,7,8,1] => 0110001 => 1000110 => 0111001
[2,6,4,3,5,8,7,1] => 0110011 => 1100110 => 0011001
[2,7,4,3,5,6,8,1] => 0110001 => 1000110 => 0111001
[2,8,4,3,5,6,7,1] => 0110001 => 1000110 => 0111001
[2,8,4,3,5,7,6,1] => 0110011 => 1100110 => 0011001
[2,7,4,3,6,5,8,1] => 0110101 => 1010110 => 0101001
[2,8,4,3,6,5,7,1] => 0110101 => 1010110 => 0101001
[2,8,4,3,6,7,5,1] => 0110011 => 1100110 => 0011001
[2,8,4,3,7,6,5,1] => 0110111 => 1110110 => 0001001
[2,6,4,5,3,1,7,8] => 0101100 => 0011010 => 1100101
[2,6,4,5,3,1,8,7] => 0101101 => 1011010 => 0100101
[2,6,4,5,3,7,8,1] => 0101001 => 1001010 => 0110101
[2,6,4,5,3,8,7,1] => 0101011 => 1101010 => 0010101
[2,8,4,5,3,6,7,1] => 0101001 => 1001010 => 0110101
[2,7,4,5,6,3,1,8] => 0100110 => 0110010 => 1001101
[2,7,4,5,6,3,8,1] => 0100101 => 1010010 => 0101101
[2,8,4,5,6,3,7,1] => 0100101 => 1010010 => 0101101
[2,8,4,5,6,7,3,1] => 0100011 => 1100010 => 0011101
[2,7,4,6,5,3,1,8] => 0101110 => 0111010 => 1000101
[2,7,4,6,5,3,8,1] => 0101101 => 1011010 => 0100101
[2,8,4,6,5,3,7,1] => 0101101 => 1011010 => 0100101
[2,8,4,7,6,5,3,1] => 0101111 => 1111010 => 0000101
[2,7,5,4,3,6,8,1] => 0111001 => 1001110 => 0110001
[2,8,5,4,3,6,7,1] => 0111001 => 1001110 => 0110001
[2,8,5,4,3,7,6,1] => 0111011 => 1101110 => 0010001
[2,7,5,4,6,3,8,1] => 0110101 => 1010110 => 0101001
[2,8,5,4,6,7,3,1] => 0110011 => 1100110 => 0011001
[2,8,5,4,7,6,3,1] => 0110111 => 1110110 => 0001001
[2,7,6,4,5,3,8,1] => 0110101 => 1010110 => 0101001
[2,8,7,4,5,6,3,1] => 0110011 => 1100110 => 0011001
[2,8,7,4,6,5,3,1] => 0110111 => 1110110 => 0001001
[2,8,7,5,4,6,3,1] => 0111011 => 1101110 => 0010001
[2,8,7,5,6,4,3,1] => 0110111 => 1110110 => 0001001
[3,2,1,4,8,6,7,5] => 1100101 => 1010011 => 0101100
[3,2,1,5,8,6,7,4] => 1100101 => 1010011 => 0101100
[3,2,1,7,5,6,8,4] => 1101001 => 1001011 => 0110100
[3,2,1,8,5,6,7,4] => 1101001 => 1001011 => 0110100
[3,2,1,8,5,7,6,4] => 1101011 => 1101011 => 0010100
[3,2,1,8,6,5,7,4] => 1101101 => 1011011 => 0100100
[3,2,1,8,6,7,5,4] => 1101011 => 1101011 => 0010100
[3,2,4,1,8,6,7,5] => 1010101 => 1010101 => 0101010
[3,2,4,5,8,6,7,1] => 1000101 => 1010001 => 0101110
[3,2,4,7,5,6,8,1] => 1001001 => 1001001 => 0110110
[3,2,4,8,5,6,7,1] => 1001001 => 1001001 => 0110110
[3,2,4,8,6,7,5,1] => 1001011 => 1101001 => 0010110
[3,2,5,4,8,6,7,1] => 1010101 => 1010101 => 0101010
[3,2,6,4,5,1,8,7] => 1010101 => 1010101 => 0101010
[3,2,6,4,5,7,1,8] => 1010010 => 0100101 => 1011010
[3,2,7,4,5,6,1,8] => 1010010 => 0100101 => 1011010
[3,2,8,4,5,6,7,1] => 1010001 => 1000101 => 0111010
[3,2,7,4,6,5,1,8] => 1010110 => 0110101 => 1001010
[3,2,7,4,6,5,8,1] => 1010101 => 1010101 => 0101010
[3,2,8,4,6,5,7,1] => 1010101 => 1010101 => 0101010
[3,2,7,5,4,6,1,8] => 1011010 => 0101101 => 1010010
[3,2,8,5,4,6,7,1] => 1011001 => 1001101 => 0110010
[3,2,8,5,4,7,6,1] => 1011011 => 1101101 => 0010010
[3,2,7,5,6,4,1,8] => 1010110 => 0110101 => 1001010
[3,2,7,5,6,4,8,1] => 1010101 => 1010101 => 0101010
[3,2,8,5,6,4,7,1] => 1010101 => 1010101 => 0101010
[3,2,8,5,7,6,4,1] => 1010111 => 1110101 => 0001010
[3,2,8,6,5,7,4,1] => 1011011 => 1101101 => 0010010
[3,2,8,7,5,6,4,1] => 1011011 => 1101101 => 0010010
[4,2,3,1,5,7,6,8] => 1010010 => 0100101 => 1011010
[4,2,3,1,5,7,8,6] => 1010001 => 1000101 => 0111010
[4,2,3,1,6,5,8,7] => 1010101 => 1010101 => 0101010
[4,2,3,1,6,7,8,5] => 1010001 => 1000101 => 0111010
[4,2,3,1,6,8,7,5] => 1010011 => 1100101 => 0011010
[4,2,3,1,7,6,8,5] => 1010101 => 1010101 => 0101010
[4,2,3,1,8,6,7,5] => 1010101 => 1010101 => 0101010
[4,2,3,1,8,7,6,5] => 1010111 => 1110101 => 0001010
[4,2,3,5,1,6,8,7] => 1001001 => 1001001 => 0110110
[4,2,3,5,1,7,8,6] => 1001001 => 1001001 => 0110110
[4,2,3,5,1,8,7,6] => 1001011 => 1101001 => 0010110
[4,2,3,5,6,1,8,7] => 1000101 => 1010001 => 0101110
[4,2,3,5,6,8,7,1] => 1000011 => 1100001 => 0011110
[4,2,3,5,7,6,1,8] => 1000110 => 0110001 => 1001110
[4,2,3,5,8,7,6,1] => 1000111 => 1110001 => 0001110
[4,2,3,6,5,1,7,8] => 1001100 => 0011001 => 1100110
[4,2,3,6,5,1,8,7] => 1001101 => 1011001 => 0100110
[4,2,3,6,5,8,7,1] => 1001011 => 1101001 => 0010110
[4,2,3,7,5,6,1,8] => 1001010 => 0101001 => 1010110
[4,2,3,7,5,6,8,1] => 1001001 => 1001001 => 0110110
[4,2,3,8,5,6,7,1] => 1001001 => 1001001 => 0110110
[4,2,3,8,5,7,6,1] => 1001011 => 1101001 => 0010110
[4,2,3,7,6,5,8,1] => 1001101 => 1011001 => 0100110
[4,2,3,8,6,7,5,1] => 1001011 => 1101001 => 0010110
[4,2,3,8,7,6,5,1] => 1001111 => 1111001 => 0000110
[5,2,3,4,1,6,8,7] => 1001001 => 1001001 => 0110110
[5,2,3,4,1,7,8,6] => 1001001 => 1001001 => 0110110
[5,2,3,4,1,8,7,6] => 1001011 => 1101001 => 0010110
[5,2,3,4,6,1,8,7] => 1000101 => 1010001 => 0101110
[5,2,3,4,7,6,1,8] => 1000110 => 0110001 => 1001110
[5,2,3,4,8,6,7,1] => 1000101 => 1010001 => 0101110
[5,2,3,4,8,7,6,1] => 1000111 => 1110001 => 0001110
[6,2,3,4,5,1,8,7] => 1000101 => 1010001 => 0101110
[6,2,3,4,5,8,7,1] => 1000011 => 1100001 => 0011110
[8,2,3,4,5,7,6,1] => 1000011 => 1100001 => 0011110
[7,2,3,4,6,5,1,8] => 1000110 => 0110001 => 1001110
[8,2,3,4,7,6,5,1] => 1000111 => 1110001 => 0001110
[6,2,3,5,4,1,7,8] => 1001100 => 0011001 => 1100110
[6,2,3,5,4,1,8,7] => 1001101 => 1011001 => 0100110
[6,2,3,5,4,7,1,8] => 1001010 => 0101001 => 1010110
[6,2,3,5,4,7,8,1] => 1001001 => 1001001 => 0110110
[7,2,3,5,4,6,1,8] => 1001010 => 0101001 => 1010110
[8,2,3,5,4,6,7,1] => 1001001 => 1001001 => 0110110
[8,2,3,5,4,7,6,1] => 1001011 => 1101001 => 0010110
[7,2,3,5,6,4,1,8] => 1000110 => 0110001 => 1001110
[8,2,3,5,6,7,4,1] => 1000011 => 1100001 => 0011110
[8,2,3,5,7,6,4,1] => 1000111 => 1110001 => 0001110
[7,2,3,6,5,4,1,8] => 1001110 => 0111001 => 1000110
[8,2,3,6,5,4,7,1] => 1001101 => 1011001 => 0100110
[8,2,3,7,5,6,4,1] => 1001011 => 1101001 => 0010110
[8,2,3,7,6,5,4,1] => 1001111 => 1111001 => 0000110
[5,2,4,3,1,6,7,8] => 1011000 => 0001101 => 1110010
[5,2,4,3,1,6,8,7] => 1011001 => 1001101 => 0110010
[5,2,4,3,1,7,6,8] => 1011010 => 0101101 => 1010010
[5,2,4,3,1,8,7,6] => 1011011 => 1101101 => 0010010
[5,2,4,3,6,1,7,8] => 1010100 => 0010101 => 1101010
[5,2,4,3,6,1,8,7] => 1010101 => 1010101 => 0101010
[5,2,4,3,6,7,1,8] => 1010010 => 0100101 => 1011010
[5,2,4,3,7,6,1,8] => 1010110 => 0110101 => 1001010
[5,2,4,3,7,6,8,1] => 1010101 => 1010101 => 0101010
[5,2,4,3,8,7,6,1] => 1010111 => 1110101 => 0001010
[6,2,4,3,5,1,8,7] => 1010101 => 1010101 => 0101010
[7,2,4,3,6,5,1,8] => 1010110 => 0110101 => 1001010
[7,2,4,3,6,5,8,1] => 1010101 => 1010101 => 0101010
[8,2,4,3,6,5,7,1] => 1010101 => 1010101 => 0101010
[8,2,4,3,6,7,5,1] => 1010011 => 1100101 => 0011010
[8,2,4,3,7,6,5,1] => 1010111 => 1110101 => 0001010
[6,2,4,5,3,1,7,8] => 1001100 => 0011001 => 1100110
[6,2,4,5,3,1,8,7] => 1001101 => 1011001 => 0100110
[6,2,4,5,3,8,7,1] => 1001011 => 1101001 => 0010110
[7,2,4,5,3,6,1,8] => 1001010 => 0101001 => 1010110
[7,2,4,5,3,6,8,1] => 1001001 => 1001001 => 0110110
[8,2,4,5,3,7,6,1] => 1001011 => 1101001 => 0010110
[8,2,4,5,6,3,7,1] => 1000101 => 1010001 => 0101110
[8,2,4,5,6,7,3,1] => 1000011 => 1100001 => 0011110
[8,2,4,5,7,6,3,1] => 1000111 => 1110001 => 0001110
[7,2,4,6,5,3,1,8] => 1001110 => 0111001 => 1000110
[7,2,4,6,5,3,8,1] => 1001101 => 1011001 => 0100110
[8,2,4,7,5,6,3,1] => 1001011 => 1101001 => 0010110
[8,2,4,7,6,5,3,1] => 1001111 => 1111001 => 0000110
[6,2,5,4,3,1,7,8] => 1011100 => 0011101 => 1100010
[6,2,5,4,3,1,8,7] => 1011101 => 1011101 => 0100010
[6,2,5,4,3,7,1,8] => 1011010 => 0101101 => 1010010
[6,2,5,4,3,7,8,1] => 1011001 => 1001101 => 0110010
[7,2,5,4,3,6,1,8] => 1011010 => 0101101 => 1010010
[8,2,5,4,3,6,7,1] => 1011001 => 1001101 => 0110010
[8,2,5,4,3,7,6,1] => 1011011 => 1101101 => 0010010
[7,2,5,4,6,3,8,1] => 1010101 => 1010101 => 0101010
[8,2,5,4,7,6,3,1] => 1010111 => 1110101 => 0001010
[7,2,6,4,5,3,1,8] => 1010110 => 0110101 => 1001010
[7,2,6,4,5,3,8,1] => 1010101 => 1010101 => 0101010
[8,2,6,4,5,3,7,1] => 1010101 => 1010101 => 0101010
[8,2,6,4,5,7,3,1] => 1010011 => 1100101 => 0011010
[8,2,7,4,5,6,3,1] => 1010011 => 1100101 => 0011010
[8,2,7,4,6,5,3,1] => 1010111 => 1110101 => 0001010
[7,2,6,5,4,3,1,8] => 1011110 => 0111101 => 1000010
[7,2,6,5,4,3,8,1] => 1011101 => 1011101 => 0100010
[8,2,6,5,4,3,7,1] => 1011101 => 1011101 => 0100010
[8,2,6,5,4,7,3,1] => 1011011 => 1101101 => 0010010
[8,2,7,5,4,6,3,1] => 1011011 => 1101101 => 0010010
[8,2,7,5,6,4,3,1] => 1010111 => 1110101 => 0001010
[8,2,7,6,5,4,3,1] => 1011111 => 1111101 => 0000010
[4,3,2,1,8,6,7,5] => 1110101 => 1010111 => 0101000
[4,3,2,7,5,6,8,1] => 1101001 => 1001011 => 0110100
[4,3,2,8,5,6,7,1] => 1101001 => 1001011 => 0110100
[4,3,2,8,5,7,6,1] => 1101011 => 1101011 => 0010100
[4,3,2,8,6,7,5,1] => 1101011 => 1101011 => 0010100
[5,3,2,4,1,6,8,7] => 1101001 => 1001011 => 0110100
[5,3,2,4,1,7,6,8] => 1101010 => 0101011 => 1010100
[5,3,2,4,1,8,7,6] => 1101011 => 1101011 => 0010100
[5,3,2,4,6,1,8,7] => 1100101 => 1010011 => 0101100
[5,3,2,4,7,6,1,8] => 1100110 => 0110011 => 1001100
[8,3,2,4,6,5,7,1] => 1100101 => 1010011 => 0101100
[8,3,2,4,6,7,5,1] => 1100011 => 1100011 => 0011100
[8,3,2,4,7,6,5,1] => 1100111 => 1110011 => 0001100
[6,3,2,5,4,1,7,8] => 1101100 => 0011011 => 1100100
[6,3,2,5,4,1,8,7] => 1101101 => 1011011 => 0100100
[6,3,2,5,4,7,1,8] => 1101010 => 0101011 => 1010100
[6,3,2,5,4,7,8,1] => 1101001 => 1001011 => 0110100
[6,3,2,5,4,8,7,1] => 1101011 => 1101011 => 0010100
[7,3,2,5,4,6,1,8] => 1101010 => 0101011 => 1010100
[8,3,2,5,4,7,6,1] => 1101011 => 1101011 => 0010100
[7,3,2,5,6,4,8,1] => 1100101 => 1010011 => 0101100
[8,3,2,5,6,4,7,1] => 1100101 => 1010011 => 0101100
[8,3,2,5,6,7,4,1] => 1100011 => 1100011 => 0011100
[8,3,2,5,7,6,4,1] => 1100111 => 1110011 => 0001100
[8,3,2,6,5,7,4,1] => 1101011 => 1101011 => 0010100
[8,3,2,7,5,6,4,1] => 1101011 => 1101011 => 0010100
[8,3,2,7,6,5,4,1] => 1101111 => 1111011 => 0000100
[5,3,4,2,1,6,8,7] => 1011001 => 1001101 => 0110010
[5,3,4,2,1,7,8,6] => 1011001 => 1001101 => 0110010
[5,3,4,2,1,8,7,6] => 1011011 => 1101101 => 0010010
[5,3,4,2,6,1,8,7] => 1010101 => 1010101 => 0101010
[5,3,4,2,7,6,1,8] => 1010110 => 0110101 => 1001010
[5,3,4,2,7,6,8,1] => 1010101 => 1010101 => 0101010
[5,3,4,2,8,6,7,1] => 1010101 => 1010101 => 0101010
[6,3,4,2,5,1,8,7] => 1010101 => 1010101 => 0101010
[7,3,4,2,6,5,1,8] => 1010110 => 0110101 => 1001010
[7,3,4,2,6,5,8,1] => 1010101 => 1010101 => 0101010
[8,3,4,2,6,5,7,1] => 1010101 => 1010101 => 0101010
[6,3,4,5,2,1,8,7] => 1001101 => 1011001 => 0100110
[6,3,4,5,2,8,7,1] => 1001011 => 1101001 => 0010110
[8,3,4,5,2,7,6,1] => 1001011 => 1101001 => 0010110
[8,3,4,5,7,6,2,1] => 1000111 => 1110001 => 0001110
[7,3,4,6,5,2,1,8] => 1001110 => 0111001 => 1000110
[8,3,4,7,6,5,2,1] => 1001111 => 1111001 => 0000110
[6,3,5,4,2,1,8,7] => 1011101 => 1011101 => 0100010
[6,3,5,4,2,7,1,8] => 1011010 => 0101101 => 1010010
[6,3,5,4,2,7,8,1] => 1011001 => 1001101 => 0110010
[6,3,5,4,2,8,7,1] => 1011011 => 1101101 => 0010010
[7,3,5,4,2,6,1,8] => 1011010 => 0101101 => 1010010
[8,3,5,4,2,6,7,1] => 1011001 => 1001101 => 0110010
[8,3,5,4,2,7,6,1] => 1011011 => 1101101 => 0010010
[7,3,5,4,6,2,1,8] => 1010110 => 0110101 => 1001010
[7,3,5,4,6,2,8,1] => 1010101 => 1010101 => 0101010
[8,3,5,4,6,7,2,1] => 1010011 => 1100101 => 0011010
[8,3,5,4,7,6,2,1] => 1010111 => 1110101 => 0001010
[7,3,6,4,5,2,1,8] => 1010110 => 0110101 => 1001010
[7,3,6,4,5,2,8,1] => 1010101 => 1010101 => 0101010
[8,3,6,4,5,2,7,1] => 1010101 => 1010101 => 0101010
[8,3,6,4,5,7,2,1] => 1010011 => 1100101 => 0011010
[8,3,7,4,5,6,2,1] => 1010011 => 1100101 => 0011010
[8,3,7,4,6,5,2,1] => 1010111 => 1110101 => 0001010
[7,3,6,5,4,2,1,8] => 1011110 => 0111101 => 1000010
[7,3,6,5,4,2,8,1] => 1011101 => 1011101 => 0100010
[8,3,6,5,4,2,7,1] => 1011101 => 1011101 => 0100010
[8,3,6,5,4,7,2,1] => 1011011 => 1101101 => 0010010
[8,3,7,5,4,6,2,1] => 1011011 => 1101101 => 0010010
[8,3,7,5,6,4,2,1] => 1010111 => 1110101 => 0001010
[8,3,7,6,5,4,2,1] => 1011111 => 1111101 => 0000010
[5,4,3,2,8,6,7,1] => 1110101 => 1010111 => 0101000
[6,4,3,2,5,1,8,7] => 1110101 => 1010111 => 0101000
[6,4,3,2,5,8,7,1] => 1110011 => 1100111 => 0011000
[8,4,3,2,5,7,6,1] => 1110011 => 1100111 => 0011000
[7,4,3,2,6,5,1,8] => 1110110 => 0110111 => 1001000
[7,4,3,2,6,5,8,1] => 1110101 => 1010111 => 0101000
[8,4,3,2,6,5,7,1] => 1110101 => 1010111 => 0101000
[8,4,3,2,6,7,5,1] => 1110011 => 1100111 => 0011000
[8,4,3,2,7,6,5,1] => 1110111 => 1110111 => 0001000
[6,4,3,5,2,1,8,7] => 1101101 => 1011011 => 0100100
[8,4,3,5,2,7,6,1] => 1101011 => 1101011 => 0010100
[8,4,3,5,7,6,2,1] => 1100111 => 1110011 => 0001100
[7,4,3,6,5,2,1,8] => 1101110 => 0111011 => 1000100
[7,4,3,6,5,2,8,1] => 1101101 => 1011011 => 0100100
[8,4,3,7,5,6,2,1] => 1101011 => 1101011 => 0010100
[8,4,3,7,6,5,2,1] => 1101111 => 1111011 => 0000100
[6,5,3,4,2,1,8,7] => 1101101 => 1011011 => 0100100
[8,5,3,4,2,7,6,1] => 1101011 => 1101011 => 0010100
[8,5,3,4,7,6,2,1] => 1100111 => 1110011 => 0001100
[8,7,3,4,6,5,2,1] => 1100111 => 1110011 => 0001100
[7,6,3,5,4,2,1,8] => 1101110 => 0111011 => 1000100
[7,6,3,5,4,2,8,1] => 1101101 => 1011011 => 0100100
[8,6,3,5,4,2,7,1] => 1101101 => 1011011 => 0100100
[8,6,3,5,4,7,2,1] => 1101011 => 1101011 => 0010100
[8,7,3,5,4,6,2,1] => 1101011 => 1101011 => 0010100
[8,7,3,5,6,4,2,1] => 1100111 => 1110011 => 0001100
[8,7,3,6,5,4,2,1] => 1101111 => 1111011 => 0000100
[8,5,4,3,2,7,6,1] => 1111011 => 1101111 => 0010000
[8,5,4,3,7,6,2,1] => 1110111 => 1110111 => 0001000
[8,7,4,3,6,5,2,1] => 1110111 => 1110111 => 0001000
[8,7,4,6,5,3,2,1] => 1101111 => 1111011 => 0000100
[2,4,1,3,6,5,8,7] => 0100101 => 1010010 => 0101101
[2,1,4,6,3,5,8,7] => 1001001 => 1001001 => 0110110
[2,4,1,6,3,5,8,7] => 0101001 => 1001010 => 0110101
[2,4,6,1,3,5,8,7] => 0010001 => 1000100 => 0111011
[2,1,4,3,6,8,5,7] => 1010010 => 0100101 => 1011010
[2,4,1,3,6,8,5,7] => 0100010 => 0100010 => 1011101
[2,1,4,6,3,8,5,7] => 1001010 => 0101001 => 1010110
[2,4,1,6,3,8,5,7] => 0101010 => 0101010 => 1010101
[2,4,6,1,3,8,5,7] => 0010010 => 0100100 => 1011011
[2,1,4,6,8,3,5,7] => 1000100 => 0010001 => 1101110
[2,4,1,6,8,3,5,7] => 0100100 => 0010010 => 1101101
[2,4,6,1,8,3,5,7] => 0010100 => 0010100 => 1101011
[2,4,6,8,1,3,5,7] => 0001000 => 0001000 => 1110111
[2,4,1,3,6,5,7,8] => 0100100 => 0010010 => 1101101
[2,1,4,6,3,5,7,8] => 1001000 => 0001001 => 1110110
[2,4,1,6,3,5,7,8] => 0101000 => 0001010 => 1110101
[2,4,6,1,3,5,7,8] => 0010000 => 0000100 => 1111011
[2,1,4,6,3,7,5,8] => 1001010 => 0101001 => 1010110
[2,4,1,6,3,7,5,8] => 0101010 => 0101010 => 1010101
[2,4,6,1,3,7,5,8] => 0010010 => 0100100 => 1011011
[2,4,6,7,1,3,5,8] => 0001000 => 0001000 => 1110111
[2,4,1,3,6,7,8,5] => 0100001 => 1000010 => 0111101
[2,1,4,6,3,7,8,5] => 1001001 => 1001001 => 0110110
[2,4,1,6,3,7,8,5] => 0101001 => 1001010 => 0110101
[2,4,6,1,3,7,8,5] => 0010001 => 1000100 => 0111011
[2,1,4,6,7,3,8,5] => 1000101 => 1010001 => 0101110
[2,4,1,6,7,3,8,5] => 0100101 => 1010010 => 0101101
[2,4,6,1,7,3,8,5] => 0010101 => 1010100 => 0101011
[2,4,6,7,1,3,8,5] => 0001001 => 1001000 => 0110111
[2,1,4,6,7,8,3,5] => 1000010 => 0100001 => 1011110
[2,4,1,6,7,8,3,5] => 0100010 => 0100010 => 1011101
[2,4,6,1,7,8,3,5] => 0010010 => 0100100 => 1011011
[2,4,6,7,1,8,3,5] => 0001010 => 0101000 => 1010111
[2,4,6,7,8,1,3,5] => 0000100 => 0010000 => 1101111
[2,1,4,3,7,5,8,6] => 1010101 => 1010101 => 0101010
[2,4,1,3,7,5,8,6] => 0100101 => 1010010 => 0101101
[2,1,4,7,3,5,8,6] => 1001001 => 1001001 => 0110110
[2,4,1,7,3,5,8,6] => 0101001 => 1001010 => 0110101
[2,4,7,1,3,5,8,6] => 0010001 => 1000100 => 0111011
[2,1,4,3,7,8,5,6] => 1010010 => 0100101 => 1011010
[2,4,1,3,7,8,5,6] => 0100010 => 0100010 => 1011101
[2,4,1,7,3,8,5,6] => 0101010 => 0101010 => 1010101
[2,1,4,7,8,3,5,6] => 1000100 => 0010001 => 1101110
[2,4,1,7,8,3,5,6] => 0100100 => 0010010 => 1101101
[2,4,7,1,8,3,5,6] => 0010100 => 0010100 => 1101011
[2,4,7,8,1,3,5,6] => 0001000 => 0001000 => 1110111
[2,4,1,5,3,7,6,8] => 0101010 => 0101010 => 1010101
[2,4,5,1,3,7,6,8] => 0010010 => 0100100 => 1011011
[2,4,5,1,7,3,6,8] => 0010100 => 0010100 => 1101011
[2,4,1,3,5,7,8,6] => 0100001 => 1000010 => 0111101
[2,4,1,5,3,7,8,6] => 0101001 => 1001010 => 0110101
[2,4,5,1,3,7,8,6] => 0010001 => 1000100 => 0111011
[2,1,4,5,7,3,8,6] => 1000101 => 1010001 => 0101110
[2,4,1,5,7,3,8,6] => 0100101 => 1010010 => 0101101
[2,4,5,1,7,3,8,6] => 0010101 => 1010100 => 0101011
[2,4,5,7,1,3,8,6] => 0001001 => 1001000 => 0110111
[2,1,4,5,7,8,3,6] => 1000010 => 0100001 => 1011110
[2,4,5,1,7,8,3,6] => 0010010 => 0100100 => 1011011
[2,4,5,7,1,8,3,6] => 0001010 => 0101000 => 1010111
[2,4,5,7,8,1,3,6] => 0000100 => 0010000 => 1101111
[2,1,4,3,8,5,6,7] => 1010100 => 0010101 => 1101010
[2,4,1,3,8,5,6,7] => 0100100 => 0010010 => 1101101
[2,1,4,8,3,5,6,7] => 1001000 => 0001001 => 1110110
[2,4,1,8,3,5,6,7] => 0101000 => 0001010 => 1110101
[2,4,8,1,3,5,6,7] => 0010000 => 0000100 => 1111011
[2,1,4,3,5,8,6,7] => 1010010 => 0100101 => 1011010
[2,4,1,5,3,8,6,7] => 0101010 => 0101010 => 1010101
[2,1,4,5,8,3,6,7] => 1000100 => 0010001 => 1101110
[2,4,1,5,8,3,6,7] => 0100100 => 0010010 => 1101101
[2,4,5,1,8,3,6,7] => 0010100 => 0010100 => 1101011
[2,4,5,8,1,3,6,7] => 0001000 => 0001000 => 1110111
[2,4,1,5,3,6,8,7] => 0101001 => 1001010 => 0110101
[2,4,1,5,6,3,8,7] => 0100101 => 1010010 => 0101101
[2,4,5,1,6,3,8,7] => 0010101 => 1010100 => 0101011
[2,4,5,6,1,3,8,7] => 0001001 => 1001000 => 0110111
[2,1,4,5,6,8,3,7] => 1000010 => 0100001 => 1011110
[2,4,1,5,6,8,3,7] => 0100010 => 0100010 => 1011101
[2,4,5,1,6,8,3,7] => 0010010 => 0100100 => 1011011
[2,4,5,6,1,8,3,7] => 0001010 => 0101000 => 1010111
[2,4,5,6,8,1,3,7] => 0000100 => 0010000 => 1101111
[2,4,1,3,5,6,7,8] => 0100000 => 0000010 => 1111101
[2,4,1,5,3,6,7,8] => 0101000 => 0001010 => 1110101
[2,4,5,1,3,6,7,8] => 0010000 => 0000100 => 1111011
[2,4,1,5,6,3,7,8] => 0100100 => 0010010 => 1101101
[2,4,5,1,6,3,7,8] => 0010100 => 0010100 => 1101011
[2,4,5,6,1,3,7,8] => 0001000 => 0001000 => 1110111
[2,4,1,5,6,7,3,8] => 0100010 => 0100010 => 1011101
[2,4,5,6,1,7,3,8] => 0001010 => 0101000 => 1010111
[2,4,5,6,7,1,3,8] => 0000100 => 0010000 => 1101111
[2,4,1,5,6,7,8,3] => 0100001 => 1000010 => 0111101
[2,4,5,1,6,7,8,3] => 0010001 => 1000100 => 0111011
[2,4,5,6,1,7,8,3] => 0001001 => 1001000 => 0110111
[2,4,5,6,7,1,8,3] => 0000101 => 1010000 => 0101111
[2,4,5,6,7,8,1,3] => 0000010 => 0100000 => 1011111
[2,1,5,3,6,4,8,7] => 1010101 => 1010101 => 0101010
[2,5,1,3,6,4,8,7] => 0100101 => 1010010 => 0101101
[2,1,5,6,3,4,8,7] => 1001001 => 1001001 => 0110110
[2,5,1,6,3,4,8,7] => 0101001 => 1001010 => 0110101
[2,5,6,1,3,4,8,7] => 0010001 => 1000100 => 0111011
[2,1,5,3,6,8,4,7] => 1010010 => 0100101 => 1011010
[2,5,1,3,6,8,4,7] => 0100010 => 0100010 => 1011101
[2,5,1,6,3,8,4,7] => 0101010 => 0101010 => 1010101
[2,5,6,1,3,8,4,7] => 0010010 => 0100100 => 1011011
[2,1,5,6,8,3,4,7] => 1000100 => 0010001 => 1101110
[2,5,1,6,8,3,4,7] => 0100100 => 0010010 => 1101101
[2,5,6,8,1,3,4,7] => 0001000 => 0001000 => 1110111
[2,5,1,3,6,4,7,8] => 0100100 => 0010010 => 1101101
[2,1,5,6,3,4,7,8] => 1001000 => 0001001 => 1110110
[2,5,1,6,3,4,7,8] => 0101000 => 0001010 => 1110101
[2,1,5,3,6,7,4,8] => 1010010 => 0100101 => 1011010
[2,1,5,6,3,7,4,8] => 1001010 => 0101001 => 1010110
[2,5,1,6,3,7,4,8] => 0101010 => 0101010 => 1010101
[2,5,6,1,3,7,4,8] => 0010010 => 0100100 => 1011011
[2,1,5,6,7,3,4,8] => 1000100 => 0010001 => 1101110
[2,5,1,6,7,3,4,8] => 0100100 => 0010010 => 1101101
[2,5,6,1,7,3,4,8] => 0010100 => 0010100 => 1101011
[2,1,5,3,6,7,8,4] => 1010001 => 1000101 => 0111010
[2,5,1,3,6,7,8,4] => 0100001 => 1000010 => 0111101
[2,1,5,6,3,7,8,4] => 1001001 => 1001001 => 0110110
[2,5,1,6,3,7,8,4] => 0101001 => 1001010 => 0110101
[2,5,6,1,3,7,8,4] => 0010001 => 1000100 => 0111011
[2,1,5,6,7,3,8,4] => 1000101 => 1010001 => 0101110
[2,5,1,6,7,3,8,4] => 0100101 => 1010010 => 0101101
[2,5,6,7,1,3,8,4] => 0001001 => 1001000 => 0110111
[2,1,5,6,7,8,3,4] => 1000010 => 0100001 => 1011110
[2,5,1,6,7,8,3,4] => 0100010 => 0100010 => 1011101
[2,5,6,1,7,8,3,4] => 0010010 => 0100100 => 1011011
[2,5,6,7,1,8,3,4] => 0001010 => 0101000 => 1010111
[2,5,6,7,8,1,3,4] => 0000100 => 0010000 => 1101111
[2,1,5,3,7,4,8,6] => 1010101 => 1010101 => 0101010
[2,5,1,3,7,4,8,6] => 0100101 => 1010010 => 0101101
[2,1,5,7,3,4,8,6] => 1001001 => 1001001 => 0110110
[2,5,1,7,3,4,8,6] => 0101001 => 1001010 => 0110101
[2,5,7,1,3,4,8,6] => 0010001 => 1000100 => 0111011
[2,1,5,3,7,8,4,6] => 1010010 => 0100101 => 1011010
[2,5,1,3,7,8,4,6] => 0100010 => 0100010 => 1011101
[2,1,5,7,3,8,4,6] => 1001010 => 0101001 => 1010110
[2,1,5,7,8,3,4,6] => 1000100 => 0010001 => 1101110
[2,5,1,7,8,3,4,6] => 0100100 => 0010010 => 1101101
[2,5,7,1,8,3,4,6] => 0010100 => 0010100 => 1101011
[2,5,7,8,1,3,4,6] => 0001000 => 0001000 => 1110111
[2,5,1,3,7,4,6,8] => 0100100 => 0010010 => 1101101
[2,1,5,7,3,4,6,8] => 1001000 => 0001001 => 1110110
[2,3,5,1,4,7,6,8] => 0010010 => 0100100 => 1011011
[2,3,5,7,1,4,6,8] => 0001000 => 0001000 => 1110111
[2,3,5,1,7,4,8,6] => 0010101 => 1010100 => 0101011
[2,3,5,7,1,4,8,6] => 0001001 => 1001000 => 0110111
[2,3,1,5,7,8,4,6] => 0100010 => 0100010 => 1011101
[2,3,5,7,1,8,4,6] => 0001010 => 0101000 => 1010111
[2,3,5,7,8,1,4,6] => 0000100 => 0010000 => 1101111
[2,1,5,3,8,4,6,7] => 1010100 => 0010101 => 1101010
[2,5,1,3,8,4,6,7] => 0100100 => 0010010 => 1101101
[2,1,5,8,3,4,6,7] => 1001000 => 0001001 => 1110110
[2,5,1,8,3,4,6,7] => 0101000 => 0001010 => 1110101
[2,5,8,1,3,4,6,7] => 0010000 => 0000100 => 1111011
[2,3,5,1,4,8,6,7] => 0010010 => 0100100 => 1011011
[2,1,3,5,8,4,6,7] => 1000100 => 0010001 => 1101110
[2,3,5,1,8,4,6,7] => 0010100 => 0010100 => 1101011
[2,3,5,8,1,4,6,7] => 0001000 => 0001000 => 1110111
[2,1,5,3,4,6,8,7] => 1010001 => 1000101 => 0111010
[2,3,5,1,6,4,8,7] => 0010101 => 1010100 => 0101011
[2,3,5,6,1,4,8,7] => 0001001 => 1001000 => 0110111
[2,3,1,5,6,8,4,7] => 0100010 => 0100010 => 1011101
[2,3,5,1,6,8,4,7] => 0010010 => 0100100 => 1011011
[2,3,5,6,1,8,4,7] => 0001010 => 0101000 => 1010111
[2,3,5,6,8,1,4,7] => 0000100 => 0010000 => 1101111
[2,1,5,3,4,6,7,8] => 1010000 => 0000101 => 1111010
[2,5,1,3,4,6,7,8] => 0100000 => 0000010 => 1111101
[2,3,5,1,4,6,7,8] => 0010000 => 0000100 => 1111011
[2,3,5,1,6,4,7,8] => 0010100 => 0010100 => 1101011
[2,3,5,6,1,4,7,8] => 0001000 => 0001000 => 1110111
[2,3,5,6,1,7,4,8] => 0001010 => 0101000 => 1010111
[2,3,5,6,7,1,4,8] => 0000100 => 0010000 => 1101111
[2,3,5,1,6,7,8,4] => 0010001 => 1000100 => 0111011
[2,3,5,6,1,7,8,4] => 0001001 => 1001000 => 0110111
[2,3,5,6,7,1,8,4] => 0000101 => 1010000 => 0101111
[2,3,5,6,7,8,1,4] => 0000010 => 0100000 => 1011111
[2,1,6,3,7,4,8,5] => 1010101 => 1010101 => 0101010
[2,6,1,3,7,4,8,5] => 0100101 => 1010010 => 0101101
[2,1,6,7,3,4,8,5] => 1001001 => 1001001 => 0110110
[2,6,1,7,3,4,8,5] => 0101001 => 1001010 => 0110101
[2,6,7,1,3,4,8,5] => 0010001 => 1000100 => 0111011
[2,1,6,3,7,8,4,5] => 1010010 => 0100101 => 1011010
[2,6,1,3,7,8,4,5] => 0100010 => 0100010 => 1011101
[2,1,6,7,3,8,4,5] => 1001010 => 0101001 => 1010110
[2,6,1,7,3,8,4,5] => 0101010 => 0101010 => 1010101
[2,1,6,7,8,3,4,5] => 1000100 => 0010001 => 1101110
[2,6,1,7,8,3,4,5] => 0100100 => 0010010 => 1101101
[2,6,7,1,8,3,4,5] => 0010100 => 0010100 => 1101011
[2,6,7,8,1,3,4,5] => 0001000 => 0001000 => 1110111
[2,1,6,3,7,4,5,8] => 1010100 => 0010101 => 1101010
[2,6,1,7,3,4,5,8] => 0101000 => 0001010 => 1110101
[2,6,7,1,3,4,5,8] => 0010000 => 0000100 => 1111011
[2,6,1,3,4,7,5,8] => 0100010 => 0100010 => 1011101
[2,3,1,6,4,7,5,8] => 0101010 => 0101010 => 1010101
[2,3,6,1,4,7,5,8] => 0010010 => 0100100 => 1011011
[2,3,6,7,1,4,5,8] => 0001000 => 0001000 => 1110111
[2,1,6,3,4,7,8,5] => 1010001 => 1000101 => 0111010
[2,6,1,3,4,7,8,5] => 0100001 => 1000010 => 0111101
[2,3,6,1,4,7,8,5] => 0010001 => 1000100 => 0111011
[2,1,3,6,7,4,8,5] => 1000101 => 1010001 => 0101110
[2,3,6,7,1,4,8,5] => 0001001 => 1001000 => 0110111
[2,1,3,6,7,8,4,5] => 1000010 => 0100001 => 1011110
[2,3,1,6,7,8,4,5] => 0100010 => 0100010 => 1011101
[2,3,6,1,7,8,4,5] => 0010010 => 0100100 => 1011011
[2,3,6,7,1,8,4,5] => 0001010 => 0101000 => 1010111
[2,3,6,7,8,1,4,5] => 0000100 => 0010000 => 1101111
[2,1,6,3,8,4,5,7] => 1010100 => 0010101 => 1101010
[2,6,1,3,8,4,5,7] => 0100100 => 0010010 => 1101101
[2,1,6,8,3,4,5,7] => 1001000 => 0001001 => 1110110
[2,6,1,8,3,4,5,7] => 0101000 => 0001010 => 1110101
[2,6,8,1,3,4,5,7] => 0010000 => 0000100 => 1111011
[2,1,6,3,4,8,5,7] => 1010010 => 0100101 => 1011010
[2,6,1,3,4,8,5,7] => 0100010 => 0100010 => 1011101
[2,3,1,6,4,8,5,7] => 0101010 => 0101010 => 1010101
[2,3,6,1,4,8,5,7] => 0010010 => 0100100 => 1011011
[2,3,1,6,8,4,5,7] => 0100100 => 0010010 => 1101101
[2,3,6,1,8,4,5,7] => 0010100 => 0010100 => 1101011
[2,3,6,8,1,4,5,7] => 0001000 => 0001000 => 1110111
[2,1,6,3,4,5,8,7] => 1010001 => 1000101 => 0111010
[2,6,1,3,4,5,8,7] => 0100001 => 1000010 => 0111101
[2,1,3,6,4,5,8,7] => 1001001 => 1001001 => 0110110
[2,3,6,1,4,5,8,7] => 0010001 => 1000100 => 0111011
[2,3,4,1,6,8,5,7] => 0010010 => 0100100 => 1011011
[2,3,4,6,1,8,5,7] => 0001010 => 0101000 => 1010111
[2,3,4,6,8,1,5,7] => 0000100 => 0010000 => 1101111
[2,6,1,3,4,5,7,8] => 0100000 => 0000010 => 1111101
[2,1,3,6,4,5,7,8] => 1001000 => 0001001 => 1110110
[2,3,1,6,4,5,7,8] => 0101000 => 0001010 => 1110101
[2,3,6,1,4,5,7,8] => 0010000 => 0000100 => 1111011
[2,3,4,6,1,5,7,8] => 0001000 => 0001000 => 1110111
[2,3,4,6,1,7,5,8] => 0001010 => 0101000 => 1010111
[2,3,4,6,7,1,5,8] => 0000100 => 0010000 => 1101111
[2,3,4,6,1,7,8,5] => 0001001 => 1001000 => 0110111
[2,3,4,6,7,8,1,5] => 0000010 => 0100000 => 1011111
[2,1,7,3,8,4,5,6] => 1010100 => 0010101 => 1101010
[2,7,1,3,8,4,5,6] => 0100100 => 0010010 => 1101101
[2,1,7,8,3,4,5,6] => 1001000 => 0001001 => 1110110
[2,7,1,8,3,4,5,6] => 0101000 => 0001010 => 1110101
[2,7,8,1,3,4,5,6] => 0010000 => 0000100 => 1111011
[2,1,7,3,4,8,5,6] => 1010010 => 0100101 => 1011010
[2,7,1,3,4,8,5,6] => 0100010 => 0100010 => 1011101
[2,1,3,7,4,8,5,6] => 1001010 => 0101001 => 1010110
[2,3,1,7,4,8,5,6] => 0101010 => 0101010 => 1010101
[2,3,7,1,4,8,5,6] => 0010010 => 0100100 => 1011011
[2,1,3,7,8,4,5,6] => 1000100 => 0010001 => 1101110
[2,3,1,7,8,4,5,6] => 0100100 => 0010010 => 1101101
[2,3,7,8,1,4,5,6] => 0001000 => 0001000 => 1110111
[2,1,7,3,4,5,8,6] => 1010001 => 1000101 => 0111010
[2,7,1,3,4,5,8,6] => 0100001 => 1000010 => 0111101
[2,3,1,7,4,5,8,6] => 0101001 => 1001010 => 0110101
[2,3,7,1,4,5,8,6] => 0010001 => 1000100 => 0111011
[2,1,3,4,7,5,8,6] => 1000101 => 1010001 => 0101110
[2,3,4,1,7,5,8,6] => 0010101 => 1010100 => 0101011
[2,3,4,7,1,5,8,6] => 0001001 => 1001000 => 0110111
[2,1,3,4,7,8,5,6] => 1000010 => 0100001 => 1011110
[2,3,1,4,7,8,5,6] => 0100010 => 0100010 => 1011101
[2,3,4,1,7,8,5,6] => 0010010 => 0100100 => 1011011
[2,3,4,7,1,8,5,6] => 0001010 => 0101000 => 1010111
[2,3,4,7,8,1,5,6] => 0000100 => 0010000 => 1101111
[2,1,7,3,4,5,6,8] => 1010000 => 0000101 => 1111010
[2,7,1,3,4,5,6,8] => 0100000 => 0000010 => 1111101
[2,3,7,1,4,5,6,8] => 0010000 => 0000100 => 1111011
[2,1,3,4,7,5,6,8] => 1000100 => 0010001 => 1101110
[2,3,1,4,7,5,6,8] => 0100100 => 0010010 => 1101101
[2,3,4,1,7,5,6,8] => 0010100 => 0010100 => 1101011
[2,3,4,7,1,5,6,8] => 0001000 => 0001000 => 1110111
[2,3,4,5,7,1,6,8] => 0000100 => 0010000 => 1101111
[2,3,4,5,7,1,8,6] => 0000101 => 1010000 => 0101111
[2,3,4,5,7,8,1,6] => 0000010 => 0100000 => 1011111
[2,1,8,3,4,5,6,7] => 1010000 => 0000101 => 1111010
[2,8,1,3,4,5,6,7] => 0100000 => 0000010 => 1111101
[2,1,3,8,4,5,6,7] => 1001000 => 0001001 => 1110110
[2,3,1,8,4,5,6,7] => 0101000 => 0001010 => 1110101
[2,3,8,1,4,5,6,7] => 0010000 => 0000100 => 1111011
[2,1,3,4,8,5,6,7] => 1000100 => 0010001 => 1101110
[2,3,1,4,8,5,6,7] => 0100100 => 0010010 => 1101101
[2,3,4,1,8,5,6,7] => 0010100 => 0010100 => 1101011
[2,3,4,8,1,5,6,7] => 0001000 => 0001000 => 1110111
[2,1,3,4,5,8,6,7] => 1000010 => 0100001 => 1011110
[2,3,1,4,5,8,6,7] => 0100010 => 0100010 => 1011101
[2,3,4,1,5,8,6,7] => 0010010 => 0100100 => 1011011
[2,3,4,5,1,8,6,7] => 0001010 => 0101000 => 1010111
[2,3,4,5,8,1,6,7] => 0000100 => 0010000 => 1101111
[2,3,4,5,6,8,1,7] => 0000010 => 0100000 => 1011111
[3,1,4,2,6,5,8,7] => 1010101 => 1010101 => 0101010
[3,4,1,2,6,5,8,7] => 0100101 => 1010010 => 0101101
[3,1,4,6,2,5,8,7] => 1001001 => 1001001 => 0110110
[3,4,1,6,2,5,8,7] => 0101001 => 1001010 => 0110101
[3,4,6,1,2,5,8,7] => 0010001 => 1000100 => 0111011
[3,1,4,2,6,8,5,7] => 1010010 => 0100101 => 1011010
[3,4,1,2,6,8,5,7] => 0100010 => 0100010 => 1011101
[3,1,4,6,2,8,5,7] => 1001010 => 0101001 => 1010110
[3,4,1,6,2,8,5,7] => 0101010 => 0101010 => 1010101
[3,1,4,6,8,2,5,7] => 1000100 => 0010001 => 1101110
[3,4,1,6,8,2,5,7] => 0100100 => 0010010 => 1101101
[3,4,6,8,1,2,5,7] => 0001000 => 0001000 => 1110111
[3,1,4,2,6,5,7,8] => 1010100 => 0010101 => 1101010
[3,4,1,2,6,5,7,8] => 0100100 => 0010010 => 1101101
[3,1,4,2,6,7,5,8] => 1010010 => 0100101 => 1011010
[3,4,1,2,6,7,5,8] => 0100010 => 0100010 => 1011101
[3,4,1,6,2,7,5,8] => 0101010 => 0101010 => 1010101
[3,4,6,1,2,7,5,8] => 0010010 => 0100100 => 1011011
[3,4,1,6,7,2,5,8] => 0100100 => 0010010 => 1101101
[3,4,6,7,1,2,5,8] => 0001000 => 0001000 => 1110111
[3,1,4,2,6,7,8,5] => 1010001 => 1000101 => 0111010
[3,4,1,2,6,7,8,5] => 0100001 => 1000010 => 0111101
[3,1,4,6,2,7,8,5] => 1001001 => 1001001 => 0110110
[3,4,1,6,2,7,8,5] => 0101001 => 1001010 => 0110101
[3,4,6,1,2,7,8,5] => 0010001 => 1000100 => 0111011
[3,1,4,6,7,2,8,5] => 1000101 => 1010001 => 0101110
[3,4,1,6,7,2,8,5] => 0100101 => 1010010 => 0101101
[3,4,6,1,7,2,8,5] => 0010101 => 1010100 => 0101011
[3,4,6,7,1,2,8,5] => 0001001 => 1001000 => 0110111
[3,1,4,6,7,8,2,5] => 1000010 => 0100001 => 1011110
[3,4,1,6,7,8,2,5] => 0100010 => 0100010 => 1011101
[3,4,6,1,7,8,2,5] => 0010010 => 0100100 => 1011011
[3,4,6,7,1,8,2,5] => 0001010 => 0101000 => 1010111
[3,4,6,7,8,1,2,5] => 0000100 => 0010000 => 1101111
[3,1,4,2,7,5,8,6] => 1010101 => 1010101 => 0101010
[3,4,1,2,7,5,8,6] => 0100101 => 1010010 => 0101101
[3,1,4,7,2,5,8,6] => 1001001 => 1001001 => 0110110
[3,4,1,7,2,5,8,6] => 0101001 => 1001010 => 0110101
[3,4,7,1,2,5,8,6] => 0010001 => 1000100 => 0111011
[3,1,4,2,7,8,5,6] => 1010010 => 0100101 => 1011010
[3,4,1,2,7,8,5,6] => 0100010 => 0100010 => 1011101
[3,1,4,7,2,8,5,6] => 1001010 => 0101001 => 1010110
[3,4,7,1,8,2,5,6] => 0010100 => 0010100 => 1101011
[3,4,7,8,1,2,5,6] => 0001000 => 0001000 => 1110111
[3,1,4,2,7,5,6,8] => 1010100 => 0010101 => 1101010
[3,4,1,2,7,5,6,8] => 0100100 => 0010010 => 1101101
[3,4,1,2,5,7,6,8] => 0100010 => 0100010 => 1011101
[3,1,4,5,2,7,6,8] => 1001010 => 0101001 => 1010110
[3,4,1,5,2,7,6,8] => 0101010 => 0101010 => 1010101
[3,4,1,5,7,2,6,8] => 0100100 => 0010010 => 1101101
[3,4,5,7,1,2,6,8] => 0001000 => 0001000 => 1110111
[3,1,4,2,5,7,8,6] => 1010001 => 1000101 => 0111010
[3,4,1,2,5,7,8,6] => 0100001 => 1000010 => 0111101
[3,1,4,5,2,7,8,6] => 1001001 => 1001001 => 0110110
[3,4,5,1,2,7,8,6] => 0010001 => 1000100 => 0111011
[3,1,4,5,7,2,8,6] => 1000101 => 1010001 => 0101110
[3,4,1,5,7,2,8,6] => 0100101 => 1010010 => 0101101
[3,4,5,7,1,2,8,6] => 0001001 => 1001000 => 0110111
[3,1,4,5,7,8,2,6] => 1000010 => 0100001 => 1011110
[3,4,1,5,7,8,2,6] => 0100010 => 0100010 => 1011101
[3,4,5,1,7,8,2,6] => 0010010 => 0100100 => 1011011
[3,4,5,7,1,8,2,6] => 0001010 => 0101000 => 1010111
[3,4,5,7,8,1,2,6] => 0000100 => 0010000 => 1101111
[3,1,4,2,8,5,6,7] => 1010100 => 0010101 => 1101010
[3,4,1,2,8,5,6,7] => 0100100 => 0010010 => 1101101
[3,1,4,8,2,5,6,7] => 1001000 => 0001001 => 1110110
[3,4,1,8,2,5,6,7] => 0101000 => 0001010 => 1110101
[3,4,8,1,2,5,6,7] => 0010000 => 0000100 => 1111011
[3,1,4,2,5,8,6,7] => 1010010 => 0100101 => 1011010
[3,4,1,2,5,8,6,7] => 0100010 => 0100010 => 1011101
[3,4,1,5,2,8,6,7] => 0101010 => 0101010 => 1010101
[3,4,5,1,2,8,6,7] => 0010010 => 0100100 => 1011011
[3,1,4,5,8,2,6,7] => 1000100 => 0010001 => 1101110
[3,4,1,5,8,2,6,7] => 0100100 => 0010010 => 1101101
[3,4,5,8,1,2,6,7] => 0001000 => 0001000 => 1110111
[3,4,1,2,5,6,8,7] => 0100001 => 1000010 => 0111101
[3,4,5,1,2,6,8,7] => 0010001 => 1000100 => 0111011
[3,1,4,5,6,2,8,7] => 1000101 => 1010001 => 0101110
[3,4,1,5,6,2,8,7] => 0100101 => 1010010 => 0101101
[3,4,5,1,6,2,8,7] => 0010101 => 1010100 => 0101011
[3,4,5,6,1,2,8,7] => 0001001 => 1001000 => 0110111
[3,1,4,5,6,8,2,7] => 1000010 => 0100001 => 1011110
[3,4,1,5,6,8,2,7] => 0100010 => 0100010 => 1011101
[3,4,5,6,1,8,2,7] => 0001010 => 0101000 => 1010111
[3,4,5,6,8,1,2,7] => 0000100 => 0010000 => 1101111
[3,1,4,2,5,6,7,8] => 1010000 => 0000101 => 1111010
[3,1,4,5,2,6,7,8] => 1001000 => 0001001 => 1110110
[3,4,1,5,2,6,7,8] => 0101000 => 0001010 => 1110101
[3,1,4,5,6,2,7,8] => 1000100 => 0010001 => 1101110
[3,4,1,5,6,2,7,8] => 0100100 => 0010010 => 1101101
[3,4,5,1,6,2,7,8] => 0010100 => 0010100 => 1101011
[3,1,4,5,6,7,2,8] => 1000010 => 0100001 => 1011110
[3,4,1,5,6,7,2,8] => 0100010 => 0100010 => 1011101
[3,4,5,1,6,7,2,8] => 0010010 => 0100100 => 1011011
[3,4,5,6,1,7,2,8] => 0001010 => 0101000 => 1010111
[3,1,4,5,6,7,8,2] => 1000001 => 1000001 => 0111110
[3,4,1,5,6,7,8,2] => 0100001 => 1000010 => 0111101
[3,4,5,1,6,7,8,2] => 0010001 => 1000100 => 0111011
[3,4,5,6,1,7,8,2] => 0001001 => 1001000 => 0110111
[3,4,5,6,7,1,8,2] => 0000101 => 1010000 => 0101111
[3,1,5,2,6,4,8,7] => 1010101 => 1010101 => 0101010
[3,5,1,2,6,4,8,7] => 0100101 => 1010010 => 0101101
[3,1,5,6,2,4,8,7] => 1001001 => 1001001 => 0110110
[3,5,1,6,2,4,8,7] => 0101001 => 1001010 => 0110101
[3,5,6,1,2,4,8,7] => 0010001 => 1000100 => 0111011
[3,1,5,2,6,8,4,7] => 1010010 => 0100101 => 1011010
[3,5,1,2,6,8,4,7] => 0100010 => 0100010 => 1011101
[3,1,5,6,2,8,4,7] => 1001010 => 0101001 => 1010110
[3,5,6,1,2,8,4,7] => 0010010 => 0100100 => 1011011
[3,1,5,6,8,2,4,7] => 1000100 => 0010001 => 1101110
[3,5,1,6,8,2,4,7] => 0100100 => 0010010 => 1101101
[3,5,6,1,8,2,4,7] => 0010100 => 0010100 => 1101011
[3,5,6,8,1,2,4,7] => 0001000 => 0001000 => 1110111
[3,1,5,6,2,4,7,8] => 1001000 => 0001001 => 1110110
[3,5,1,6,2,4,7,8] => 0101000 => 0001010 => 1110101
[3,5,6,1,2,4,7,8] => 0010000 => 0000100 => 1111011
[3,5,1,2,6,7,4,8] => 0100010 => 0100010 => 1011101
[3,5,1,6,2,7,4,8] => 0101010 => 0101010 => 1010101
[3,5,6,1,2,7,4,8] => 0010010 => 0100100 => 1011011
[3,5,1,6,7,2,4,8] => 0100100 => 0010010 => 1101101
[3,5,6,1,7,2,4,8] => 0010100 => 0010100 => 1101011
[3,5,6,7,1,2,4,8] => 0001000 => 0001000 => 1110111
[3,1,5,2,6,7,8,4] => 1010001 => 1000101 => 0111010
[3,5,1,2,6,7,8,4] => 0100001 => 1000010 => 0111101
[3,1,5,6,2,7,8,4] => 1001001 => 1001001 => 0110110
[3,5,1,6,2,7,8,4] => 0101001 => 1001010 => 0110101
[3,5,6,1,2,7,8,4] => 0010001 => 1000100 => 0111011
[3,1,5,6,7,2,8,4] => 1000101 => 1010001 => 0101110
[3,5,1,6,7,2,8,4] => 0100101 => 1010010 => 0101101
[3,5,6,1,7,2,8,4] => 0010101 => 1010100 => 0101011
[3,5,6,7,1,2,8,4] => 0001001 => 1001000 => 0110111
[3,1,5,6,7,8,2,4] => 1000010 => 0100001 => 1011110
[3,5,1,6,7,8,2,4] => 0100010 => 0100010 => 1011101
[3,5,6,1,7,8,2,4] => 0010010 => 0100100 => 1011011
[3,5,6,7,1,8,2,4] => 0001010 => 0101000 => 1010111
[3,5,6,7,8,1,2,4] => 0000100 => 0010000 => 1101111
[3,1,5,2,7,4,8,6] => 1010101 => 1010101 => 0101010
[3,5,1,2,7,4,8,6] => 0100101 => 1010010 => 0101101
[3,1,5,7,2,4,8,6] => 1001001 => 1001001 => 0110110
[3,5,1,7,2,4,8,6] => 0101001 => 1001010 => 0110101
[3,5,7,1,2,4,8,6] => 0010001 => 1000100 => 0111011
[3,1,5,2,7,8,4,6] => 1010010 => 0100101 => 1011010
[3,5,1,2,7,8,4,6] => 0100010 => 0100010 => 1011101
[3,1,5,7,2,8,4,6] => 1001010 => 0101001 => 1010110
[3,5,1,7,2,8,4,6] => 0101010 => 0101010 => 1010101
[3,1,5,7,8,2,4,6] => 1000100 => 0010001 => 1101110
[3,5,1,7,8,2,4,6] => 0100100 => 0010010 => 1101101
[3,5,7,8,1,2,4,6] => 0001000 => 0001000 => 1110111
[3,1,5,2,7,4,6,8] => 1010100 => 0010101 => 1101010
[3,5,1,2,7,4,6,8] => 0100100 => 0010010 => 1101101
[3,1,5,7,2,4,6,8] => 1001000 => 0001001 => 1110110
[3,5,1,7,2,4,6,8] => 0101000 => 0001010 => 1110101
[3,5,7,1,2,4,6,8] => 0010000 => 0000100 => 1111011
[3,1,5,2,4,7,6,8] => 1010010 => 0100101 => 1011010
[3,5,1,2,4,7,6,8] => 0100010 => 0100010 => 1011101
[3,1,2,5,4,7,6,8] => 1001010 => 0101001 => 1010110
[1,3,5,2,4,7,6,8] => 0010010 => 0100100 => 1011011
[3,1,2,5,7,4,6,8] => 1000100 => 0010001 => 1101110
[1,3,2,5,7,4,6,8] => 0100100 => 0010010 => 1101101
[1,3,5,2,7,4,6,8] => 0010100 => 0010100 => 1101011
[1,3,5,7,2,4,6,8] => 0001000 => 0001000 => 1110111
[3,1,5,2,4,7,8,6] => 1010001 => 1000101 => 0111010
[3,5,1,2,4,7,8,6] => 0100001 => 1000010 => 0111101
[1,3,5,2,4,7,8,6] => 0010001 => 1000100 => 0111011
[3,1,2,5,7,4,8,6] => 1000101 => 1010001 => 0101110
[1,3,2,5,7,4,8,6] => 0100101 => 1010010 => 0101101
[1,3,5,2,7,4,8,6] => 0010101 => 1010100 => 0101011
[1,3,5,7,2,4,8,6] => 0001001 => 1001000 => 0110111
[3,1,2,5,7,8,4,6] => 1000010 => 0100001 => 1011110
[1,3,2,5,7,8,4,6] => 0100010 => 0100010 => 1011101
[1,3,5,2,7,8,4,6] => 0010010 => 0100100 => 1011011
[1,3,5,7,2,8,4,6] => 0001010 => 0101000 => 1010111
[1,3,5,7,8,2,4,6] => 0000100 => 0010000 => 1101111
[3,1,5,2,8,4,6,7] => 1010100 => 0010101 => 1101010
[3,5,1,2,8,4,6,7] => 0100100 => 0010010 => 1101101
[3,1,5,8,2,4,6,7] => 1001000 => 0001001 => 1110110
[3,5,1,8,2,4,6,7] => 0101000 => 0001010 => 1110101
[3,1,5,2,4,8,6,7] => 1010010 => 0100101 => 1011010
[3,5,1,2,4,8,6,7] => 0100010 => 0100010 => 1011101
[1,3,2,5,4,8,6,7] => 0101010 => 0101010 => 1010101
[1,3,5,2,4,8,6,7] => 0010010 => 0100100 => 1011011
[3,1,2,5,8,4,6,7] => 1000100 => 0010001 => 1101110
[1,3,2,5,8,4,6,7] => 0100100 => 0010010 => 1101101
[1,3,5,2,8,4,6,7] => 0010100 => 0010100 => 1101011
[1,3,5,8,2,4,6,7] => 0001000 => 0001000 => 1110111
[3,1,5,2,4,6,8,7] => 1010001 => 1000101 => 0111010
[3,5,1,2,4,6,8,7] => 0100001 => 1000010 => 0111101
[3,1,2,5,4,6,8,7] => 1001001 => 1001001 => 0110110
[1,3,5,2,4,6,8,7] => 0010001 => 1000100 => 0111011
[1,3,5,6,2,4,8,7] => 0001001 => 1001000 => 0110111
[3,1,2,5,6,8,4,7] => 1000010 => 0100001 => 1011110
[1,3,5,2,6,8,4,7] => 0010010 => 0100100 => 1011011
[1,3,5,6,2,8,4,7] => 0001010 => 0101000 => 1010111
[1,3,5,6,8,2,4,7] => 0000100 => 0010000 => 1101111
[3,1,5,2,4,6,7,8] => 1010000 => 0000101 => 1111010
[3,5,1,2,4,6,7,8] => 0100000 => 0000010 => 1111101
[1,3,5,2,4,6,7,8] => 0010000 => 0000100 => 1111011
[3,1,2,5,6,4,7,8] => 1000100 => 0010001 => 1101110
[1,3,5,2,6,4,7,8] => 0010100 => 0010100 => 1101011
[1,3,5,6,2,4,7,8] => 0001000 => 0001000 => 1110111
[3,1,2,5,6,7,4,8] => 1000010 => 0100001 => 1011110
[1,3,5,2,6,7,4,8] => 0010010 => 0100100 => 1011011
[1,3,5,6,2,7,4,8] => 0001010 => 0101000 => 1010111
[1,3,5,6,7,2,4,8] => 0000100 => 0010000 => 1101111
[3,1,2,5,6,7,8,4] => 1000001 => 1000001 => 0111110
[1,3,5,2,6,7,8,4] => 0010001 => 1000100 => 0111011
[1,3,5,6,2,7,8,4] => 0001001 => 1001000 => 0110111
[1,3,5,6,7,2,8,4] => 0000101 => 1010000 => 0101111
[1,3,5,6,7,8,2,4] => 0000010 => 0100000 => 1011111
[3,1,6,2,7,4,8,5] => 1010101 => 1010101 => 0101010
[3,6,1,2,7,4,8,5] => 0100101 => 1010010 => 0101101
[3,6,1,7,2,4,8,5] => 0101001 => 1001010 => 0110101
[3,6,7,1,2,4,8,5] => 0010001 => 1000100 => 0111011
[3,6,1,2,7,8,4,5] => 0100010 => 0100010 => 1011101
[3,1,6,7,2,8,4,5] => 1001010 => 0101001 => 1010110
[3,6,1,7,2,8,4,5] => 0101010 => 0101010 => 1010101
[3,6,7,1,2,8,4,5] => 0010010 => 0100100 => 1011011
[3,6,1,7,8,2,4,5] => 0100100 => 0010010 => 1101101
[3,6,7,8,1,2,4,5] => 0001000 => 0001000 => 1110111
[3,1,6,2,7,4,5,8] => 1010100 => 0010101 => 1101010
[3,1,6,7,2,4,5,8] => 1001000 => 0001001 => 1110110
[3,6,7,1,2,4,5,8] => 0010000 => 0000100 => 1111011
[3,1,6,2,4,7,5,8] => 1010010 => 0100101 => 1011010
[3,6,1,2,4,7,5,8] => 0100010 => 0100010 => 1011101
[3,1,2,6,4,7,5,8] => 1001010 => 0101001 => 1010110
[1,3,2,6,4,7,5,8] => 0101010 => 0101010 => 1010101
[1,3,6,2,4,7,5,8] => 0010010 => 0100100 => 1011011
[1,3,2,6,7,4,5,8] => 0100100 => 0010010 => 1101101
[1,3,6,2,7,4,5,8] => 0010100 => 0010100 => 1101011
[3,1,6,2,4,7,8,5] => 1010001 => 1000101 => 0111010
[3,6,1,2,4,7,8,5] => 0100001 => 1000010 => 0111101
[3,1,2,6,4,7,8,5] => 1001001 => 1001001 => 0110110
[1,3,2,6,4,7,8,5] => 0101001 => 1001010 => 0110101
[1,3,6,2,4,7,8,5] => 0010001 => 1000100 => 0111011
[3,1,2,6,7,4,8,5] => 1000101 => 1010001 => 0101110
[1,3,2,6,7,4,8,5] => 0100101 => 1010010 => 0101101
[1,3,6,2,7,4,8,5] => 0010101 => 1010100 => 0101011
[3,1,2,6,7,8,4,5] => 1000010 => 0100001 => 1011110
[1,3,2,6,7,8,4,5] => 0100010 => 0100010 => 1011101
[1,3,6,2,7,8,4,5] => 0010010 => 0100100 => 1011011
[1,3,6,7,8,2,4,5] => 0000100 => 0010000 => 1101111
[3,1,6,2,8,4,5,7] => 1010100 => 0010101 => 1101010
[3,1,6,8,2,4,5,7] => 1001000 => 0001001 => 1110110
[3,6,1,8,2,4,5,7] => 0101000 => 0001010 => 1110101
[3,6,8,1,2,4,5,7] => 0010000 => 0000100 => 1111011
[3,1,6,2,4,8,5,7] => 1010010 => 0100101 => 1011010
[3,6,1,2,4,8,5,7] => 0100010 => 0100010 => 1011101
[1,3,2,6,4,8,5,7] => 0101010 => 0101010 => 1010101
[1,3,6,2,4,8,5,7] => 0010010 => 0100100 => 1011011
[3,1,2,6,8,4,5,7] => 1000100 => 0010001 => 1101110
[1,3,2,6,8,4,5,7] => 0100100 => 0010010 => 1101101
[3,1,6,2,4,5,8,7] => 1010001 => 1000101 => 0111010
[3,6,1,2,4,5,8,7] => 0100001 => 1000010 => 0111101
[3,1,2,6,4,5,8,7] => 1001001 => 1001001 => 0110110
[1,3,6,2,4,5,8,7] => 0010001 => 1000100 => 0111011
[3,1,2,4,6,5,8,7] => 1000101 => 1010001 => 0101110
[1,3,4,6,2,5,8,7] => 0001001 => 1001000 => 0110111
[3,1,2,4,6,8,5,7] => 1000010 => 0100001 => 1011110
[1,3,2,4,6,8,5,7] => 0100010 => 0100010 => 1011101
[1,3,4,6,8,2,5,7] => 0000100 => 0010000 => 1101111
[3,1,6,2,4,5,7,8] => 1010000 => 0000101 => 1111010
[3,6,1,2,4,5,7,8] => 0100000 => 0000010 => 1111101
[1,3,2,6,4,5,7,8] => 0101000 => 0001010 => 1110101
[1,3,6,2,4,5,7,8] => 0010000 => 0000100 => 1111011
[1,3,4,6,2,5,7,8] => 0001000 => 0001000 => 1110111
[3,1,2,4,6,7,5,8] => 1000010 => 0100001 => 1011110
[1,3,4,6,2,7,5,8] => 0001010 => 0101000 => 1010111
[1,3,4,6,7,2,5,8] => 0000100 => 0010000 => 1101111
[3,1,2,4,6,7,8,5] => 1000001 => 1000001 => 0111110
[1,3,4,6,7,2,8,5] => 0000101 => 1010000 => 0101111
[1,3,4,6,7,8,2,5] => 0000010 => 0100000 => 1011111
[3,1,7,2,8,4,5,6] => 1010100 => 0010101 => 1101010
[3,7,1,2,8,4,5,6] => 0100100 => 0010010 => 1101101
[3,1,7,8,2,4,5,6] => 1001000 => 0001001 => 1110110
[3,7,1,8,2,4,5,6] => 0101000 => 0001010 => 1110101
[3,7,8,1,2,4,5,6] => 0010000 => 0000100 => 1111011
[3,7,1,2,4,8,5,6] => 0100010 => 0100010 => 1011101
[3,1,2,7,4,8,5,6] => 1001010 => 0101001 => 1010110
[1,3,2,7,4,8,5,6] => 0101010 => 0101010 => 1010101
[1,3,7,2,4,8,5,6] => 0010010 => 0100100 => 1011011
[3,1,2,7,8,4,5,6] => 1000100 => 0010001 => 1101110
[1,3,7,2,8,4,5,6] => 0010100 => 0010100 => 1101011
[1,3,7,8,2,4,5,6] => 0001000 => 0001000 => 1110111
[3,1,7,2,4,5,8,6] => 1010001 => 1000101 => 0111010
[3,7,1,2,4,5,8,6] => 0100001 => 1000010 => 0111101
[1,3,7,2,4,5,8,6] => 0010001 => 1000100 => 0111011
[3,1,2,4,7,5,8,6] => 1000101 => 1010001 => 0101110
[1,3,2,4,7,5,8,6] => 0100101 => 1010010 => 0101101
[1,3,4,2,7,5,8,6] => 0010101 => 1010100 => 0101011
[3,1,2,4,7,8,5,6] => 1000010 => 0100001 => 1011110
[1,3,2,4,7,8,5,6] => 0100010 => 0100010 => 1011101
[1,3,4,2,7,8,5,6] => 0010010 => 0100100 => 1011011
[1,3,4,7,8,2,5,6] => 0000100 => 0010000 => 1101111
[3,1,7,2,4,5,6,8] => 1010000 => 0000101 => 1111010
[3,7,1,2,4,5,6,8] => 0100000 => 0000010 => 1111101
[1,3,2,7,4,5,6,8] => 0101000 => 0001010 => 1110101
[1,3,7,2,4,5,6,8] => 0010000 => 0000100 => 1111011
[3,1,2,4,7,5,6,8] => 1000100 => 0010001 => 1101110
[1,3,4,7,2,5,6,8] => 0001000 => 0001000 => 1110111
[3,1,2,4,5,7,6,8] => 1000010 => 0100001 => 1011110
[1,3,4,5,7,2,6,8] => 0000100 => 0010000 => 1101111
[3,1,2,4,5,7,8,6] => 1000001 => 1000001 => 0111110
[1,3,4,5,7,2,8,6] => 0000101 => 1010000 => 0101111
[1,3,4,5,7,8,2,6] => 0000010 => 0100000 => 1011111
[3,1,8,2,4,5,6,7] => 1010000 => 0000101 => 1111010
[3,8,1,2,4,5,6,7] => 0100000 => 0000010 => 1111101
[3,1,2,8,4,5,6,7] => 1001000 => 0001001 => 1110110
[1,3,2,8,4,5,6,7] => 0101000 => 0001010 => 1110101
[1,3,8,2,4,5,6,7] => 0010000 => 0000100 => 1111011
[3,1,2,4,8,5,6,7] => 1000100 => 0010001 => 1101110
[1,3,2,4,8,5,6,7] => 0100100 => 0010010 => 1101101
[1,3,4,2,8,5,6,7] => 0010100 => 0010100 => 1101011
[1,3,4,8,2,5,6,7] => 0001000 => 0001000 => 1110111
[3,1,2,4,5,8,6,7] => 1000010 => 0100001 => 1011110
[1,3,2,4,5,8,6,7] => 0100010 => 0100010 => 1011101
[1,3,4,2,5,8,6,7] => 0010010 => 0100100 => 1011011
[1,3,4,5,2,8,6,7] => 0001010 => 0101000 => 1010111
[1,3,4,5,8,2,6,7] => 0000100 => 0010000 => 1101111
[3,1,2,4,5,6,8,7] => 1000001 => 1000001 => 0111110
[1,3,4,5,6,8,2,7] => 0000010 => 0100000 => 1011111
[4,1,5,2,6,3,8,7] => 1010101 => 1010101 => 0101010
[4,5,1,2,6,3,8,7] => 0100101 => 1010010 => 0101101
[4,1,5,6,2,3,8,7] => 1001001 => 1001001 => 0110110
[4,5,1,6,2,3,8,7] => 0101001 => 1001010 => 0110101
[4,5,6,1,2,3,8,7] => 0010001 => 1000100 => 0111011
[4,1,5,2,6,8,3,7] => 1010010 => 0100101 => 1011010
[4,5,1,2,6,8,3,7] => 0100010 => 0100010 => 1011101
[4,1,5,6,2,8,3,7] => 1001010 => 0101001 => 1010110
[4,5,1,6,2,8,3,7] => 0101010 => 0101010 => 1010101
[4,5,6,1,2,8,3,7] => 0010010 => 0100100 => 1011011
[4,1,5,6,8,2,3,7] => 1000100 => 0010001 => 1101110
[4,5,1,6,8,2,3,7] => 0100100 => 0010010 => 1101101
[4,5,6,1,8,2,3,7] => 0010100 => 0010100 => 1101011
[4,5,6,8,1,2,3,7] => 0001000 => 0001000 => 1110111
[4,1,5,2,6,3,7,8] => 1010100 => 0010101 => 1101010
[4,1,5,6,2,3,7,8] => 1001000 => 0001001 => 1110110
[4,5,1,6,2,3,7,8] => 0101000 => 0001010 => 1110101
[4,5,1,2,6,7,3,8] => 0100010 => 0100010 => 1011101
[4,5,1,6,2,7,3,8] => 0101010 => 0101010 => 1010101
[4,5,6,1,2,7,3,8] => 0010010 => 0100100 => 1011011
[4,1,5,6,7,2,3,8] => 1000100 => 0010001 => 1101110
[4,5,1,6,7,2,3,8] => 0100100 => 0010010 => 1101101
[4,5,6,1,7,2,3,8] => 0010100 => 0010100 => 1101011
[4,1,5,2,6,7,8,3] => 1010001 => 1000101 => 0111010
[4,5,1,2,6,7,8,3] => 0100001 => 1000010 => 0111101
[4,5,1,6,2,7,8,3] => 0101001 => 1001010 => 0110101
[4,5,6,1,2,7,8,3] => 0010001 => 1000100 => 0111011
[4,1,5,6,7,2,8,3] => 1000101 => 1010001 => 0101110
[4,5,1,6,7,2,8,3] => 0100101 => 1010010 => 0101101
[4,5,6,1,7,2,8,3] => 0010101 => 1010100 => 0101011
[4,5,6,7,1,2,8,3] => 0001001 => 1001000 => 0110111
[4,1,5,6,7,8,2,3] => 1000010 => 0100001 => 1011110
[4,5,1,6,7,8,2,3] => 0100010 => 0100010 => 1011101
[4,5,6,1,7,8,2,3] => 0010010 => 0100100 => 1011011
[4,5,6,7,1,8,2,3] => 0001010 => 0101000 => 1010111
[4,1,5,2,7,3,8,6] => 1010101 => 1010101 => 0101010
[4,5,1,7,2,3,8,6] => 0101001 => 1001010 => 0110101
[4,5,7,1,2,3,8,6] => 0010001 => 1000100 => 0111011
[4,1,5,2,7,8,3,6] => 1010010 => 0100101 => 1011010
[4,5,1,2,7,8,3,6] => 0100010 => 0100010 => 1011101
[4,1,5,7,2,8,3,6] => 1001010 => 0101001 => 1010110
[4,5,1,7,2,8,3,6] => 0101010 => 0101010 => 1010101
[4,5,7,1,2,8,3,6] => 0010010 => 0100100 => 1011011
[4,5,1,7,8,2,3,6] => 0100100 => 0010010 => 1101101
[4,5,7,8,1,2,3,6] => 0001000 => 0001000 => 1110111
[4,1,5,2,7,3,6,8] => 1010100 => 0010101 => 1101010
[4,5,1,2,7,3,6,8] => 0100100 => 0010010 => 1101101
[4,1,5,7,2,3,6,8] => 1001000 => 0001001 => 1110110
[4,5,1,7,2,3,6,8] => 0101000 => 0001010 => 1110101
[4,1,5,2,3,7,6,8] => 1010010 => 0100101 => 1011010
[4,5,1,2,3,7,6,8] => 0100010 => 0100010 => 1011101
[4,1,2,5,3,7,6,8] => 1001010 => 0101001 => 1010110
[1,4,2,5,3,7,6,8] => 0101010 => 0101010 => 1010101
[1,4,5,2,3,7,6,8] => 0010010 => 0100100 => 1011011
[4,1,2,5,7,3,6,8] => 1000100 => 0010001 => 1101110
[1,4,2,5,7,3,6,8] => 0100100 => 0010010 => 1101101
[1,4,5,2,7,3,6,8] => 0010100 => 0010100 => 1101011
[1,4,5,7,2,3,6,8] => 0001000 => 0001000 => 1110111
[4,1,5,2,3,7,8,6] => 1010001 => 1000101 => 0111010
[4,1,2,5,3,7,8,6] => 1001001 => 1001001 => 0110110
[1,4,2,5,3,7,8,6] => 0101001 => 1001010 => 0110101
[1,4,5,2,3,7,8,6] => 0010001 => 1000100 => 0111011
[4,1,2,5,7,3,8,6] => 1000101 => 1010001 => 0101110
[1,4,2,5,7,3,8,6] => 0100101 => 1010010 => 0101101
[1,4,5,2,7,3,8,6] => 0010101 => 1010100 => 0101011
[1,4,5,7,2,3,8,6] => 0001001 => 1001000 => 0110111
[4,1,2,5,7,8,3,6] => 1000010 => 0100001 => 1011110
[1,4,2,5,7,8,3,6] => 0100010 => 0100010 => 1011101
[1,4,5,2,7,8,3,6] => 0010010 => 0100100 => 1011011
[1,4,5,7,8,2,3,6] => 0000100 => 0010000 => 1101111
[4,1,5,2,8,3,6,7] => 1010100 => 0010101 => 1101010
[4,5,1,2,8,3,6,7] => 0100100 => 0010010 => 1101101
[4,1,5,8,2,3,6,7] => 1001000 => 0001001 => 1110110
[4,5,1,8,2,3,6,7] => 0101000 => 0001010 => 1110101
[4,5,8,1,2,3,6,7] => 0010000 => 0000100 => 1111011
[4,1,5,2,3,8,6,7] => 1010010 => 0100101 => 1011010
[4,5,1,2,3,8,6,7] => 0100010 => 0100010 => 1011101
[4,1,2,5,3,8,6,7] => 1001010 => 0101001 => 1010110
[1,4,2,5,3,8,6,7] => 0101010 => 0101010 => 1010101
[1,4,5,2,3,8,6,7] => 0010010 => 0100100 => 1011011
[4,1,2,5,8,3,6,7] => 1000100 => 0010001 => 1101110
[1,4,2,5,8,3,6,7] => 0100100 => 0010010 => 1101101
[1,4,5,2,8,3,6,7] => 0010100 => 0010100 => 1101011
[1,4,5,8,2,3,6,7] => 0001000 => 0001000 => 1110111
[1,4,2,5,3,6,8,7] => 0101001 => 1001010 => 0110101
[4,1,2,5,6,3,8,7] => 1000101 => 1010001 => 0101110
[1,4,5,2,6,3,8,7] => 0010101 => 1010100 => 0101011
[1,4,5,6,2,3,8,7] => 0001001 => 1001000 => 0110111
[4,1,2,5,6,8,3,7] => 1000010 => 0100001 => 1011110
[1,4,2,5,6,8,3,7] => 0100010 => 0100010 => 1011101
[1,4,5,2,6,8,3,7] => 0010010 => 0100100 => 1011011
[1,4,5,6,2,8,3,7] => 0001010 => 0101000 => 1010111
[1,4,5,6,8,2,3,7] => 0000100 => 0010000 => 1101111
[4,1,5,2,3,6,7,8] => 1010000 => 0000101 => 1111010
[4,1,2,5,3,6,7,8] => 1001000 => 0001001 => 1110110
[1,4,2,5,3,6,7,8] => 0101000 => 0001010 => 1110101
[1,4,5,2,3,6,7,8] => 0010000 => 0000100 => 1111011
[4,1,2,5,6,3,7,8] => 1000100 => 0010001 => 1101110
[1,4,5,2,6,3,7,8] => 0010100 => 0010100 => 1101011
[1,4,5,6,2,3,7,8] => 0001000 => 0001000 => 1110111
[4,1,2,5,6,7,3,8] => 1000010 => 0100001 => 1011110
[1,4,2,5,6,7,3,8] => 0100010 => 0100010 => 1011101
[1,4,5,2,6,7,3,8] => 0010010 => 0100100 => 1011011
[1,4,5,6,2,7,3,8] => 0001010 => 0101000 => 1010111
[1,4,5,6,7,2,3,8] => 0000100 => 0010000 => 1101111
[4,1,2,5,6,7,8,3] => 1000001 => 1000001 => 0111110
[1,4,2,5,6,7,8,3] => 0100001 => 1000010 => 0111101
[1,4,5,2,6,7,8,3] => 0010001 => 1000100 => 0111011
[1,4,5,6,2,7,8,3] => 0001001 => 1001000 => 0110111
[1,4,5,6,7,2,8,3] => 0000101 => 1010000 => 0101111
[1,4,5,6,7,8,2,3] => 0000010 => 0100000 => 1011111
[4,1,6,2,7,3,8,5] => 1010101 => 1010101 => 0101010
[4,1,6,7,2,3,8,5] => 1001001 => 1001001 => 0110110
[4,6,7,1,2,3,8,5] => 0010001 => 1000100 => 0111011
[4,6,1,2,7,8,3,5] => 0100010 => 0100010 => 1011101
[4,6,1,7,2,8,3,5] => 0101010 => 0101010 => 1010101
[4,6,7,1,2,8,3,5] => 0010010 => 0100100 => 1011011
[4,1,6,7,8,2,3,5] => 1000100 => 0010001 => 1101110
[4,6,1,7,8,2,3,5] => 0100100 => 0010010 => 1101101
[4,6,7,1,8,2,3,5] => 0010100 => 0010100 => 1101011
[4,6,7,8,1,2,3,5] => 0001000 => 0001000 => 1110111
[4,1,6,2,7,3,5,8] => 1010100 => 0010101 => 1101010
[4,6,1,2,7,3,5,8] => 0100100 => 0010010 => 1101101
[4,1,6,7,2,3,5,8] => 1001000 => 0001001 => 1110110
[4,6,1,7,2,3,5,8] => 0101000 => 0001010 => 1110101
[4,6,7,1,2,3,5,8] => 0010000 => 0000100 => 1111011
[4,1,6,2,3,7,5,8] => 1010010 => 0100101 => 1011010
[4,6,1,2,3,7,5,8] => 0100010 => 0100010 => 1011101
[4,1,2,6,3,7,5,8] => 1001010 => 0101001 => 1010110
[1,4,2,6,3,7,5,8] => 0101010 => 0101010 => 1010101
[4,1,2,6,7,3,5,8] => 1000100 => 0010001 => 1101110
[1,4,2,6,7,3,5,8] => 0100100 => 0010010 => 1101101
[1,4,6,2,7,3,5,8] => 0010100 => 0010100 => 1101011
[1,4,6,7,2,3,5,8] => 0001000 => 0001000 => 1110111
[4,1,6,2,3,7,8,5] => 1010001 => 1000101 => 0111010
[4,1,2,6,3,7,8,5] => 1001001 => 1001001 => 0110110
[1,4,6,2,3,7,8,5] => 0010001 => 1000100 => 0111011
[4,1,2,6,7,3,8,5] => 1000101 => 1010001 => 0101110
[1,4,6,2,7,3,8,5] => 0010101 => 1010100 => 0101011
[1,4,6,7,2,3,8,5] => 0001001 => 1001000 => 0110111
[1,4,2,6,7,8,3,5] => 0100010 => 0100010 => 1011101
[1,4,6,2,7,8,3,5] => 0010010 => 0100100 => 1011011
[1,4,6,7,2,8,3,5] => 0001010 => 0101000 => 1010111
[1,4,6,7,8,2,3,5] => 0000100 => 0010000 => 1101111
[4,1,6,2,8,3,5,7] => 1010100 => 0010101 => 1101010
[4,6,1,2,8,3,5,7] => 0100100 => 0010010 => 1101101
[4,1,6,8,2,3,5,7] => 1001000 => 0001001 => 1110110
[4,6,1,8,2,3,5,7] => 0101000 => 0001010 => 1110101
[4,6,8,1,2,3,5,7] => 0010000 => 0000100 => 1111011
[4,1,6,2,3,8,5,7] => 1010010 => 0100101 => 1011010
[4,6,1,2,3,8,5,7] => 0100010 => 0100010 => 1011101
[4,1,2,6,3,8,5,7] => 1001010 => 0101001 => 1010110
[1,4,2,6,3,8,5,7] => 0101010 => 0101010 => 1010101
[1,4,6,2,3,8,5,7] => 0010010 => 0100100 => 1011011
[1,4,2,6,8,3,5,7] => 0100100 => 0010010 => 1101101
[1,4,6,2,8,3,5,7] => 0010100 => 0010100 => 1101011
[1,4,6,8,2,3,5,7] => 0001000 => 0001000 => 1110111
[4,1,6,2,3,5,8,7] => 1010001 => 1000101 => 0111010
[4,6,1,2,3,5,8,7] => 0100001 => 1000010 => 0111101
[4,1,2,6,3,5,8,7] => 1001001 => 1001001 => 0110110
[1,4,2,6,3,5,8,7] => 0101001 => 1001010 => 0110101
[1,4,6,2,3,5,8,7] => 0010001 => 1000100 => 0111011
[4,1,2,3,6,5,8,7] => 1000101 => 1010001 => 0101110
[1,4,2,3,6,5,8,7] => 0100101 => 1010010 => 0101101
[1,2,4,6,3,5,8,7] => 0001001 => 1001000 => 0110111
[4,1,2,3,6,8,5,7] => 1000010 => 0100001 => 1011110
[1,2,4,3,6,8,5,7] => 0010010 => 0100100 => 1011011
[1,2,4,6,8,3,5,7] => 0000100 => 0010000 => 1101111
[4,1,6,2,3,5,7,8] => 1010000 => 0000101 => 1111010
[4,6,1,2,3,5,7,8] => 0100000 => 0000010 => 1111101
[1,4,2,6,3,5,7,8] => 0101000 => 0001010 => 1110101
[1,4,6,2,3,5,7,8] => 0010000 => 0000100 => 1111011
[4,1,2,3,6,5,7,8] => 1000100 => 0010001 => 1101110
[1,4,2,3,6,5,7,8] => 0100100 => 0010010 => 1101101
[1,2,4,6,3,5,7,8] => 0001000 => 0001000 => 1110111
[4,1,2,3,6,7,5,8] => 1000010 => 0100001 => 1011110
[1,4,2,3,6,7,5,8] => 0100010 => 0100010 => 1011101
[1,2,4,6,7,3,5,8] => 0000100 => 0010000 => 1101111
[4,1,2,3,6,7,8,5] => 1000001 => 1000001 => 0111110
[1,4,2,3,6,7,8,5] => 0100001 => 1000010 => 0111101
[1,2,4,6,7,3,8,5] => 0000101 => 1010000 => 0101111
[1,2,4,6,7,8,3,5] => 0000010 => 0100000 => 1011111
[4,1,7,2,8,3,5,6] => 1010100 => 0010101 => 1101010
[4,7,1,2,8,3,5,6] => 0100100 => 0010010 => 1101101
[4,1,7,8,2,3,5,6] => 1001000 => 0001001 => 1110110
[4,7,1,8,2,3,5,6] => 0101000 => 0001010 => 1110101
[4,7,8,1,2,3,5,6] => 0010000 => 0000100 => 1111011
[4,7,1,2,3,8,5,6] => 0100010 => 0100010 => 1011101
[1,4,2,7,3,8,5,6] => 0101010 => 0101010 => 1010101
[1,4,7,2,3,8,5,6] => 0010010 => 0100100 => 1011011
[4,1,2,7,8,3,5,6] => 1000100 => 0010001 => 1101110
[1,4,2,7,8,3,5,6] => 0100100 => 0010010 => 1101101
[1,4,7,2,8,3,5,6] => 0010100 => 0010100 => 1101011
[1,4,7,8,2,3,5,6] => 0001000 => 0001000 => 1110111
[4,1,7,2,3,5,8,6] => 1010001 => 1000101 => 0111010
[4,7,1,2,3,5,8,6] => 0100001 => 1000010 => 0111101
[4,1,2,7,3,5,8,6] => 1001001 => 1001001 => 0110110
[1,4,2,7,3,5,8,6] => 0101001 => 1001010 => 0110101
[1,4,7,2,3,5,8,6] => 0010001 => 1000100 => 0111011
[4,1,2,3,7,5,8,6] => 1000101 => 1010001 => 0101110
[1,4,2,3,7,5,8,6] => 0100101 => 1010010 => 0101101
[1,2,4,3,7,5,8,6] => 0010101 => 1010100 => 0101011
[1,2,4,7,3,5,8,6] => 0001001 => 1001000 => 0110111
[4,1,2,3,7,8,5,6] => 1000010 => 0100001 => 1011110
[1,4,2,3,7,8,5,6] => 0100010 => 0100010 => 1011101
[1,2,4,3,7,8,5,6] => 0010010 => 0100100 => 1011011
[1,2,4,7,3,8,5,6] => 0001010 => 0101000 => 1010111
[1,2,4,7,8,3,5,6] => 0000100 => 0010000 => 1101111
[4,1,7,2,3,5,6,8] => 1010000 => 0000101 => 1111010
[4,7,1,2,3,5,6,8] => 0100000 => 0000010 => 1111101
[4,1,2,7,3,5,6,8] => 1001000 => 0001001 => 1110110
[1,4,2,7,3,5,6,8] => 0101000 => 0001010 => 1110101
[1,4,7,2,3,5,6,8] => 0010000 => 0000100 => 1111011
[4,1,2,3,7,5,6,8] => 1000100 => 0010001 => 1101110
[1,4,2,3,7,5,6,8] => 0100100 => 0010010 => 1101101
[1,2,4,3,7,5,6,8] => 0010100 => 0010100 => 1101011
[1,2,4,7,3,5,6,8] => 0001000 => 0001000 => 1110111
[4,1,2,3,5,7,6,8] => 1000010 => 0100001 => 1011110
[1,4,2,3,5,7,6,8] => 0100010 => 0100010 => 1011101
[1,2,4,5,7,3,6,8] => 0000100 => 0010000 => 1101111
[4,1,2,3,5,7,8,6] => 1000001 => 1000001 => 0111110
[1,4,2,3,5,7,8,6] => 0100001 => 1000010 => 0111101
[1,2,4,5,7,3,8,6] => 0000101 => 1010000 => 0101111
[1,2,4,5,7,8,3,6] => 0000010 => 0100000 => 1011111
[4,1,8,2,3,5,6,7] => 1010000 => 0000101 => 1111010
[4,8,1,2,3,5,6,7] => 0100000 => 0000010 => 1111101
[4,1,2,8,3,5,6,7] => 1001000 => 0001001 => 1110110
[1,4,2,8,3,5,6,7] => 0101000 => 0001010 => 1110101
[1,4,8,2,3,5,6,7] => 0010000 => 0000100 => 1111011
[4,1,2,3,8,5,6,7] => 1000100 => 0010001 => 1101110
[1,4,2,3,8,5,6,7] => 0100100 => 0010010 => 1101101
[1,2,4,3,8,5,6,7] => 0010100 => 0010100 => 1101011
[1,2,4,8,3,5,6,7] => 0001000 => 0001000 => 1110111
[4,1,2,3,5,8,6,7] => 1000010 => 0100001 => 1011110
[1,4,2,3,5,8,6,7] => 0100010 => 0100010 => 1011101
[1,2,4,3,5,8,6,7] => 0010010 => 0100100 => 1011011
[1,2,4,5,3,8,6,7] => 0001010 => 0101000 => 1010111
[1,2,4,5,8,3,6,7] => 0000100 => 0010000 => 1101111
[4,1,2,3,5,6,8,7] => 1000001 => 1000001 => 0111110
[1,4,2,3,5,6,8,7] => 0100001 => 1000010 => 0111101
[1,2,4,5,6,8,3,7] => 0000010 => 0100000 => 1011111
[1,4,2,3,5,6,7,8] => 0100000 => 0000010 => 1111101
[5,1,6,2,7,3,8,4] => 1010101 => 1010101 => 0101010
[5,6,1,2,7,3,8,4] => 0100101 => 1010010 => 0101101
[5,1,6,7,2,3,8,4] => 1001001 => 1001001 => 0110110
[5,6,1,7,2,3,8,4] => 0101001 => 1001010 => 0110101
[5,6,7,1,2,3,8,4] => 0010001 => 1000100 => 0111011
[5,6,1,2,7,8,3,4] => 0100010 => 0100010 => 1011101
[5,1,6,7,2,8,3,4] => 1001010 => 0101001 => 1010110
[5,6,7,1,2,8,3,4] => 0010010 => 0100100 => 1011011
[5,1,6,7,8,2,3,4] => 1000100 => 0010001 => 1101110
[5,6,1,7,8,2,3,4] => 0100100 => 0010010 => 1101101
[5,6,7,1,8,2,3,4] => 0010100 => 0010100 => 1101011
[5,1,6,2,7,3,4,8] => 1010100 => 0010101 => 1101010
[5,6,1,2,7,3,4,8] => 0100100 => 0010010 => 1101101
[5,6,1,7,2,3,4,8] => 0101000 => 0001010 => 1110101
[5,1,6,2,3,7,4,8] => 1010010 => 0100101 => 1011010
[5,1,2,6,3,7,4,8] => 1001010 => 0101001 => 1010110
[1,5,2,6,3,7,4,8] => 0101010 => 0101010 => 1010101
[5,1,2,6,7,3,4,8] => 1000100 => 0010001 => 1101110
[1,5,2,6,7,3,4,8] => 0100100 => 0010010 => 1101101
[1,5,6,2,7,3,4,8] => 0010100 => 0010100 => 1101011
[1,5,6,7,2,3,4,8] => 0001000 => 0001000 => 1110111
[5,1,6,2,3,7,8,4] => 1010001 => 1000101 => 0111010
[5,6,1,2,3,7,8,4] => 0100001 => 1000010 => 0111101
[5,1,2,6,3,7,8,4] => 1001001 => 1001001 => 0110110
[1,5,2,6,3,7,8,4] => 0101001 => 1001010 => 0110101
[1,5,6,2,3,7,8,4] => 0010001 => 1000100 => 0111011
[5,1,2,6,7,3,8,4] => 1000101 => 1010001 => 0101110
[1,5,6,7,2,3,8,4] => 0001001 => 1001000 => 0110111
[5,1,2,6,7,8,3,4] => 1000010 => 0100001 => 1011110
[1,5,2,6,7,8,3,4] => 0100010 => 0100010 => 1011101
[1,5,6,2,7,8,3,4] => 0010010 => 0100100 => 1011011
[1,5,6,7,2,8,3,4] => 0001010 => 0101000 => 1010111
[1,5,6,7,8,2,3,4] => 0000100 => 0010000 => 1101111
[5,1,6,2,8,3,4,7] => 1010100 => 0010101 => 1101010
[5,6,1,2,8,3,4,7] => 0100100 => 0010010 => 1101101
[5,6,1,8,2,3,4,7] => 0101000 => 0001010 => 1110101
[5,6,8,1,2,3,4,7] => 0010000 => 0000100 => 1111011
[5,1,6,2,3,8,4,7] => 1010010 => 0100101 => 1011010
[5,6,1,2,3,8,4,7] => 0100010 => 0100010 => 1011101
[5,1,2,6,3,8,4,7] => 1001010 => 0101001 => 1010110
[1,5,2,6,3,8,4,7] => 0101010 => 0101010 => 1010101
[1,5,6,2,3,8,4,7] => 0010010 => 0100100 => 1011011
[5,1,2,6,8,3,4,7] => 1000100 => 0010001 => 1101110
[1,5,2,6,8,3,4,7] => 0100100 => 0010010 => 1101101
[1,5,6,2,8,3,4,7] => 0010100 => 0010100 => 1101011
[1,5,6,8,2,3,4,7] => 0001000 => 0001000 => 1110111
[5,1,6,2,3,4,8,7] => 1010001 => 1000101 => 0111010
[5,6,1,2,3,4,8,7] => 0100001 => 1000010 => 0111101
[5,1,2,6,3,4,8,7] => 1001001 => 1001001 => 0110110
[1,5,2,6,3,4,8,7] => 0101001 => 1001010 => 0110101
[1,5,6,2,3,4,8,7] => 0010001 => 1000100 => 0111011
[1,5,2,3,6,4,8,7] => 0100101 => 1010010 => 0101101
[1,2,5,3,6,4,8,7] => 0010101 => 1010100 => 0101011
[1,2,5,6,3,4,8,7] => 0001001 => 1001000 => 0110111
[5,1,2,3,6,8,4,7] => 1000010 => 0100001 => 1011110
[1,5,2,3,6,8,4,7] => 0100010 => 0100010 => 1011101
[1,2,5,6,3,8,4,7] => 0001010 => 0101000 => 1010111
[5,1,6,2,3,4,7,8] => 1010000 => 0000101 => 1111010
[5,1,2,6,3,4,7,8] => 1001000 => 0001001 => 1110110
[1,5,2,6,3,4,7,8] => 0101000 => 0001010 => 1110101
[1,5,6,2,3,4,7,8] => 0010000 => 0000100 => 1111011
[5,1,2,3,6,4,7,8] => 1000100 => 0010001 => 1101110
[1,5,2,3,6,4,7,8] => 0100100 => 0010010 => 1101101
[1,2,5,3,6,4,7,8] => 0010100 => 0010100 => 1101011
[1,2,5,6,3,4,7,8] => 0001000 => 0001000 => 1110111
[5,1,2,3,6,7,4,8] => 1000010 => 0100001 => 1011110
[1,5,2,3,6,7,4,8] => 0100010 => 0100010 => 1011101
[1,2,5,3,6,7,4,8] => 0010010 => 0100100 => 1011011
[1,2,5,6,3,7,4,8] => 0001010 => 0101000 => 1010111
[5,1,2,3,6,7,8,4] => 1000001 => 1000001 => 0111110
[1,5,2,3,6,7,8,4] => 0100001 => 1000010 => 0111101
[1,2,5,3,6,7,8,4] => 0010001 => 1000100 => 0111011
[1,2,5,6,3,7,8,4] => 0001001 => 1001000 => 0110111
[1,2,5,6,7,3,8,4] => 0000101 => 1010000 => 0101111
[1,2,5,6,7,8,3,4] => 0000010 => 0100000 => 1011111
[5,1,7,2,8,3,4,6] => 1010100 => 0010101 => 1101010
[5,7,1,2,8,3,4,6] => 0100100 => 0010010 => 1101101
[5,1,7,8,2,3,4,6] => 1001000 => 0001001 => 1110110
[5,7,1,8,2,3,4,6] => 0101000 => 0001010 => 1110101
[5,7,8,1,2,3,4,6] => 0010000 => 0000100 => 1111011
[5,1,7,2,3,8,4,6] => 1010010 => 0100101 => 1011010
[5,7,1,2,3,8,4,6] => 0100010 => 0100010 => 1011101
[5,1,2,7,3,8,4,6] => 1001010 => 0101001 => 1010110
[1,5,2,7,3,8,4,6] => 0101010 => 0101010 => 1010101
[1,5,7,2,3,8,4,6] => 0010010 => 0100100 => 1011011
[5,1,2,7,8,3,4,6] => 1000100 => 0010001 => 1101110
[1,5,2,7,8,3,4,6] => 0100100 => 0010010 => 1101101
[1,5,7,2,8,3,4,6] => 0010100 => 0010100 => 1101011
[1,5,7,8,2,3,4,6] => 0001000 => 0001000 => 1110111
[5,1,7,2,3,4,8,6] => 1010001 => 1000101 => 0111010
[5,7,1,2,3,4,8,6] => 0100001 => 1000010 => 0111101
[5,1,2,7,3,4,8,6] => 1001001 => 1001001 => 0110110
[1,5,2,7,3,4,8,6] => 0101001 => 1001010 => 0110101
[1,5,7,2,3,4,8,6] => 0010001 => 1000100 => 0111011
[5,1,2,3,7,4,8,6] => 1000101 => 1010001 => 0101110
[1,5,2,3,7,4,8,6] => 0100101 => 1010010 => 0101101
[1,2,5,3,7,4,8,6] => 0010101 => 1010100 => 0101011
[1,2,5,7,3,4,8,6] => 0001001 => 1001000 => 0110111
[5,1,2,3,7,8,4,6] => 1000010 => 0100001 => 1011110
[1,5,2,3,7,8,4,6] => 0100010 => 0100010 => 1011101
[1,2,5,7,3,8,4,6] => 0001010 => 0101000 => 1010111
[1,2,5,7,8,3,4,6] => 0000100 => 0010000 => 1101111
[5,7,1,2,3,4,6,8] => 0100000 => 0000010 => 1111101
[5,1,2,7,3,4,6,8] => 1001000 => 0001001 => 1110110
[1,5,2,7,3,4,6,8] => 0101000 => 0001010 => 1110101
[1,5,7,2,3,4,6,8] => 0010000 => 0000100 => 1111011
[1,5,2,3,7,4,6,8] => 0100100 => 0010010 => 1101101
[1,2,5,3,7,4,6,8] => 0010100 => 0010100 => 1101011
[1,2,5,7,3,4,6,8] => 0001000 => 0001000 => 1110111
[1,5,2,3,4,7,6,8] => 0100010 => 0100010 => 1011101
[1,2,5,3,4,7,6,8] => 0010010 => 0100100 => 1011011
[1,2,3,5,7,4,6,8] => 0000100 => 0010000 => 1101111
[5,1,2,3,4,7,8,6] => 1000001 => 1000001 => 0111110
[1,5,2,3,4,7,8,6] => 0100001 => 1000010 => 0111101
[1,2,5,3,4,7,8,6] => 0010001 => 1000100 => 0111011
[1,2,3,5,7,4,8,6] => 0000101 => 1010000 => 0101111
[1,2,3,5,7,8,4,6] => 0000010 => 0100000 => 1011111
[5,1,8,2,3,4,6,7] => 1010000 => 0000101 => 1111010
[5,8,1,2,3,4,6,7] => 0100000 => 0000010 => 1111101
[5,1,2,8,3,4,6,7] => 1001000 => 0001001 => 1110110
[1,5,2,8,3,4,6,7] => 0101000 => 0001010 => 1110101
[1,5,8,2,3,4,6,7] => 0010000 => 0000100 => 1111011
[5,1,2,3,8,4,6,7] => 1000100 => 0010001 => 1101110
[1,5,2,3,8,4,6,7] => 0100100 => 0010010 => 1101101
[1,2,5,3,8,4,6,7] => 0010100 => 0010100 => 1101011
[1,2,5,8,3,4,6,7] => 0001000 => 0001000 => 1110111
[5,1,2,3,4,8,6,7] => 1000010 => 0100001 => 1011110
[1,5,2,3,4,8,6,7] => 0100010 => 0100010 => 1011101
[1,2,5,3,4,8,6,7] => 0010010 => 0100100 => 1011011
[1,2,3,5,4,8,6,7] => 0001010 => 0101000 => 1010111
[1,2,3,5,8,4,6,7] => 0000100 => 0010000 => 1101111
[5,1,2,3,4,6,8,7] => 1000001 => 1000001 => 0111110
[1,5,2,3,4,6,8,7] => 0100001 => 1000010 => 0111101
[1,2,5,3,4,6,8,7] => 0010001 => 1000100 => 0111011
[1,2,3,5,6,8,4,7] => 0000010 => 0100000 => 1011111
[1,5,2,3,4,6,7,8] => 0100000 => 0000010 => 1111101
[1,2,5,3,4,6,7,8] => 0010000 => 0000100 => 1111011
[6,1,7,2,8,3,4,5] => 1010100 => 0010101 => 1101010
[6,7,1,2,8,3,4,5] => 0100100 => 0010010 => 1101101
[6,1,7,8,2,3,4,5] => 1001000 => 0001001 => 1110110
[6,7,1,8,2,3,4,5] => 0101000 => 0001010 => 1110101
[6,1,7,2,3,8,4,5] => 1010010 => 0100101 => 1011010
[6,7,1,2,3,8,4,5] => 0100010 => 0100010 => 1011101
[6,1,2,7,3,8,4,5] => 1001010 => 0101001 => 1010110
[1,6,2,7,3,8,4,5] => 0101010 => 0101010 => 1010101
[1,6,7,2,3,8,4,5] => 0010010 => 0100100 => 1011011
[6,1,2,7,8,3,4,5] => 1000100 => 0010001 => 1101110
[1,6,2,7,8,3,4,5] => 0100100 => 0010010 => 1101101
[1,6,7,2,8,3,4,5] => 0010100 => 0010100 => 1101011
[1,6,7,8,2,3,4,5] => 0001000 => 0001000 => 1110111
[6,1,7,2,3,4,8,5] => 1010001 => 1000101 => 0111010
[6,7,1,2,3,4,8,5] => 0100001 => 1000010 => 0111101
[6,1,2,7,3,4,8,5] => 1001001 => 1001001 => 0110110
[1,6,2,7,3,4,8,5] => 0101001 => 1001010 => 0110101
[1,6,7,2,3,4,8,5] => 0010001 => 1000100 => 0111011
[6,1,2,3,7,4,8,5] => 1000101 => 1010001 => 0101110
[1,6,2,3,7,4,8,5] => 0100101 => 1010010 => 0101101
[1,2,6,3,7,4,8,5] => 0010101 => 1010100 => 0101011
[6,1,2,3,7,8,4,5] => 1000010 => 0100001 => 1011110
[1,6,2,3,7,8,4,5] => 0100010 => 0100010 => 1011101
[1,2,6,3,7,8,4,5] => 0010010 => 0100100 => 1011011
[1,2,6,7,3,8,4,5] => 0001010 => 0101000 => 1010111
[1,2,6,7,8,3,4,5] => 0000100 => 0010000 => 1101111
[6,1,7,2,3,4,5,8] => 1010000 => 0000101 => 1111010
[6,1,2,7,3,4,5,8] => 1001000 => 0001001 => 1110110
[1,6,2,7,3,4,5,8] => 0101000 => 0001010 => 1110101
[1,6,7,2,3,4,5,8] => 0010000 => 0000100 => 1111011
[6,1,2,3,7,4,5,8] => 1000100 => 0010001 => 1101110
[1,6,2,3,7,4,5,8] => 0100100 => 0010010 => 1101101
[1,2,6,3,7,4,5,8] => 0010100 => 0010100 => 1101011
[1,2,6,7,3,4,5,8] => 0001000 => 0001000 => 1110111
[6,1,2,3,4,7,5,8] => 1000010 => 0100001 => 1011110
[1,6,2,3,4,7,5,8] => 0100010 => 0100010 => 1011101
[1,2,6,3,4,7,5,8] => 0010010 => 0100100 => 1011011
[1,2,3,6,4,7,5,8] => 0001010 => 0101000 => 1010111
[1,2,3,6,7,4,5,8] => 0000100 => 0010000 => 1101111
[6,1,2,3,4,7,8,5] => 1000001 => 1000001 => 0111110
[1,6,2,3,4,7,8,5] => 0100001 => 1000010 => 0111101
[1,2,6,3,4,7,8,5] => 0010001 => 1000100 => 0111011
[1,2,3,6,4,7,8,5] => 0001001 => 1001000 => 0110111
[1,2,3,6,7,4,8,5] => 0000101 => 1010000 => 0101111
[1,2,3,6,7,8,4,5] => 0000010 => 0100000 => 1011111
[6,1,8,2,3,4,5,7] => 1010000 => 0000101 => 1111010
[6,8,1,2,3,4,5,7] => 0100000 => 0000010 => 1111101
[6,1,2,8,3,4,5,7] => 1001000 => 0001001 => 1110110
[1,6,2,8,3,4,5,7] => 0101000 => 0001010 => 1110101
[1,6,8,2,3,4,5,7] => 0010000 => 0000100 => 1111011
[6,1,2,3,8,4,5,7] => 1000100 => 0010001 => 1101110
[1,6,2,3,8,4,5,7] => 0100100 => 0010010 => 1101101
[1,2,6,3,8,4,5,7] => 0010100 => 0010100 => 1101011
[1,2,6,8,3,4,5,7] => 0001000 => 0001000 => 1110111
[6,1,2,3,4,8,5,7] => 1000010 => 0100001 => 1011110
[1,6,2,3,4,8,5,7] => 0100010 => 0100010 => 1011101
[1,2,6,3,4,8,5,7] => 0010010 => 0100100 => 1011011
[1,2,3,6,4,8,5,7] => 0001010 => 0101000 => 1010111
[1,2,3,6,8,4,5,7] => 0000100 => 0010000 => 1101111
[6,1,2,3,4,5,8,7] => 1000001 => 1000001 => 0111110
[1,6,2,3,4,5,8,7] => 0100001 => 1000010 => 0111101
[1,2,6,3,4,5,8,7] => 0010001 => 1000100 => 0111011
[1,2,3,6,4,5,8,7] => 0001001 => 1001000 => 0110111
[1,2,3,4,6,8,5,7] => 0000010 => 0100000 => 1011111
[1,6,2,3,4,5,7,8] => 0100000 => 0000010 => 1111101
[1,2,6,3,4,5,7,8] => 0010000 => 0000100 => 1111011
[1,2,3,6,4,5,7,8] => 0001000 => 0001000 => 1110111
[7,1,8,2,3,4,5,6] => 1010000 => 0000101 => 1111010
[7,1,2,8,3,4,5,6] => 1001000 => 0001001 => 1110110
[1,7,2,8,3,4,5,6] => 0101000 => 0001010 => 1110101
[1,7,8,2,3,4,5,6] => 0010000 => 0000100 => 1111011
[7,1,2,3,8,4,5,6] => 1000100 => 0010001 => 1101110
[1,7,2,3,8,4,5,6] => 0100100 => 0010010 => 1101101
[1,2,7,3,8,4,5,6] => 0010100 => 0010100 => 1101011
[1,2,7,8,3,4,5,6] => 0001000 => 0001000 => 1110111
[7,1,2,3,4,8,5,6] => 1000010 => 0100001 => 1011110
[1,7,2,3,4,8,5,6] => 0100010 => 0100010 => 1011101
[1,2,7,3,4,8,5,6] => 0010010 => 0100100 => 1011011
[1,2,3,7,4,8,5,6] => 0001010 => 0101000 => 1010111
[1,2,3,7,8,4,5,6] => 0000100 => 0010000 => 1101111
[7,1,2,3,4,5,8,6] => 1000001 => 1000001 => 0111110
[1,7,2,3,4,5,8,6] => 0100001 => 1000010 => 0111101
[1,2,7,3,4,5,8,6] => 0010001 => 1000100 => 0111011
[1,2,3,7,4,5,8,6] => 0001001 => 1001000 => 0110111
[1,2,3,4,7,5,8,6] => 0000101 => 1010000 => 0101111
[1,2,3,4,7,8,5,6] => 0000010 => 0100000 => 1011111
[1,7,2,3,4,5,6,8] => 0100000 => 0000010 => 1111101
[1,2,7,3,4,5,6,8] => 0010000 => 0000100 => 1111011
[1,2,3,7,4,5,6,8] => 0001000 => 0001000 => 1110111
[1,2,3,4,7,5,6,8] => 0000100 => 0010000 => 1101111
[1,8,2,3,4,5,6,7] => 0100000 => 0000010 => 1111101
[1,2,8,3,4,5,6,7] => 0010000 => 0000100 => 1111011
[1,2,3,8,4,5,6,7] => 0001000 => 0001000 => 1110111
[1,2,3,4,8,5,6,7] => 0000100 => 0010000 => 1101111
[1,2,3,4,5,8,6,7] => 0000010 => 0100000 => 1011111
[5,3,2,6,1,4,8,7] => 1101001 => 1001011 => 0110100
[7,3,2,5,4,8,1,6] => 1101010 => 0101011 => 1010100
[8,4,5,2,3,7,6,1] => 1010011 => 1100101 => 0011010
[7,4,5,2,3,8,1,6] => 1010010 => 0100101 => 1011010
[6,4,5,2,3,1,8,7] => 1010101 => 1010101 => 0101010
[5,4,6,2,1,3,8,7] => 1011001 => 1001101 => 0110010
[3,6,1,5,4,2,8,7] => 0101101 => 1011010 => 0100101
[4,6,5,1,3,2,8,7] => 0110101 => 1010110 => 0101001
[5,6,4,3,1,2,8,7] => 0111001 => 1001110 => 0110001
[7,5,4,3,2,8,1,6] => 1111010 => 0101111 => 1010000
[8,6,4,3,7,2,5,1] => 1110101 => 1010111 => 0101000
[7,6,4,3,8,2,1,5] => 1110110 => 0110111 => 1001000
[6,7,4,3,8,1,2,5] => 0110100 => 0010110 => 1101001
[5,7,4,3,1,8,2,6] => 0111010 => 0101110 => 1010001
[4,7,5,1,3,8,2,6] => 0110010 => 0100110 => 1011001
[3,7,1,5,4,8,2,6] => 0101010 => 0101010 => 1010101
[2,1,7,5,4,8,3,6] => 1011010 => 0101101 => 1010010
[3,8,1,5,4,7,6,2] => 0101011 => 1101010 => 0010101
[4,8,5,1,3,7,6,2] => 0110011 => 1100110 => 0011001
[5,8,4,3,1,7,6,2] => 0111011 => 1101110 => 0010001
[6,8,4,3,7,1,5,2] => 0110101 => 1010110 => 0101001
[7,8,4,3,6,5,1,2] => 0110110 => 0110110 => 1001001
[6,8,5,7,3,1,4,2] => 0101101 => 1011010 => 0100101
[5,8,6,7,1,3,4,2] => 0101001 => 1001010 => 0110101
[4,8,6,1,7,3,5,2] => 0110101 => 1010110 => 0101001
[3,8,1,6,7,4,5,2] => 0100101 => 1010010 => 0101101
[2,1,8,6,7,4,5,3] => 1010101 => 1010101 => 0101010
[2,1,7,6,8,4,3,5] => 1010110 => 0110101 => 1001010
[3,7,1,6,8,4,2,5] => 0100110 => 0110010 => 1001101
[4,7,6,1,8,3,2,5] => 0110110 => 0110110 => 1001001
[5,7,6,8,1,3,2,4] => 0101010 => 0101010 => 1010101
[5,4,7,2,1,8,3,6] => 1011010 => 0101101 => 1010010
[6,4,7,2,8,1,3,5] => 1010100 => 0010101 => 1101010
[7,4,6,2,8,3,1,5] => 1010110 => 0110101 => 1001010
[8,4,6,2,7,3,5,1] => 1010101 => 1010101 => 0101010
[8,3,2,6,7,4,5,1] => 1100101 => 1010011 => 0101100
[7,3,2,6,8,4,1,5] => 1100110 => 0110011 => 1001100
[6,3,2,7,8,1,4,5] => 1100100 => 0010011 => 1101100
[5,3,2,7,1,8,4,6] => 1101010 => 0101011 => 1010100
[4,3,2,1,7,8,5,6] => 1110010 => 0100111 => 1011000
[3,4,1,2,8,7,6,5] => 0100111 => 1110010 => 0001101
[5,3,2,8,1,7,6,4] => 1101011 => 1101011 => 0010100
[6,3,2,8,7,1,5,4] => 1101101 => 1011011 => 0100100
[7,3,2,8,6,5,1,4] => 1101110 => 0111011 => 1000100
[8,4,7,2,6,5,3,1] => 1010111 => 1110101 => 0001010
[7,4,8,2,6,5,1,3] => 1010110 => 0110101 => 1001010
[6,4,8,2,7,1,5,3] => 1010101 => 1010101 => 0101010
[5,4,8,2,1,7,6,3] => 1011011 => 1101101 => 0010010
[4,5,8,1,2,7,6,3] => 0010011 => 1100100 => 0011011
[3,5,1,8,2,7,6,4] => 0101011 => 1101010 => 0010101
[2,1,5,8,3,7,6,4] => 1001011 => 1101001 => 0010110
[2,1,6,8,7,3,5,4] => 1001101 => 1011001 => 0100110
[3,6,1,8,7,2,5,4] => 0101101 => 1011010 => 0100101
[4,6,8,1,7,2,5,3] => 0010101 => 1010100 => 0101011
[5,6,8,7,1,2,4,3] => 0011001 => 1001100 => 0110011
[6,5,8,7,2,1,4,3] => 1011101 => 1011101 => 0100010
[7,5,8,6,2,4,1,3] => 1011010 => 0101101 => 1010010
[8,5,7,6,2,4,3,1] => 1011011 => 1101101 => 0010010
[5,7,8,6,1,4,2,3] => 0011010 => 0101100 => 1010011
[4,7,8,1,6,5,2,3] => 0010110 => 0110100 => 1001011
[3,7,1,8,6,5,2,4] => 0101110 => 0111010 => 1000101
[2,1,7,8,6,5,3,4] => 1001110 => 0111001 => 1000110
[3,8,1,7,6,5,4,2] => 0101111 => 1111010 => 0000101
[4,8,7,1,6,5,3,2] => 0110111 => 1110110 => 0001001
[5,8,7,6,1,4,3,2] => 0111011 => 1101110 => 0010001
[6,8,7,5,4,1,3,2] => 0111101 => 1011110 => 0100001
[2,1,4,3,6,5,8,7,10,9] => 101010101 => 101010101 => 010101010
[3,4,1,2,6,5,8,7,10,9] => 010010101 => 101010010 => 010101101
[4,3,2,1,6,5,8,7,10,9] => 111010101 => 101010111 => 010101000
[6,3,2,5,4,1,8,7,10,9] => 110110101 => 101011011 => 010100100
[8,3,2,5,4,7,6,1,10,9] => 110101101 => 101101011 => 010010100
[10,3,2,5,4,7,6,9,8,1] => 110101011 => 110101011 => 001010100
[4,5,6,1,2,3,8,7,10,9] => 001000101 => 101000100 => 010111011
[3,5,1,6,2,4,8,7,10,9] => 010100101 => 101001010 => 010110101
[2,1,5,6,3,4,8,7,10,9] => 100100101 => 101001001 => 010110110
[2,1,6,5,4,3,8,7,10,9] => 101110101 => 101011101 => 010100010
[6,5,4,3,2,1,8,7,10,9] => 111110101 => 101011111 => 010100000
[8,5,4,3,2,7,6,1,10,9] => 111101101 => 101101111 => 010010000
[10,5,4,3,2,7,6,9,8,1] => 111101011 => 110101111 => 001010000
[2,1,8,5,4,7,6,3,10,9] => 101101101 => 101101101 => 010010010
[8,7,4,3,6,5,2,1,10,9] => 111011101 => 101110111 => 010001000
[10,7,4,3,6,5,2,9,8,1] => 111011011 => 110110111 => 001001000
[2,1,10,5,4,7,6,9,8,3] => 101101011 => 110101101 => 001010010
[10,9,4,3,6,5,8,7,2,1] => 111010111 => 111010111 => 000101000
[8,9,5,6,3,4,10,1,2,7] => 010100100 => 001001010 => 110110101
[5,6,7,8,1,2,3,4,10,9] => 000100001 => 100001000 => 011110111
[4,6,7,1,8,2,3,5,10,9] => 001010001 => 100010100 => 011101011
[3,6,1,7,8,2,4,5,10,9] => 010010001 => 100010010 => 011101101
[2,1,6,7,8,3,4,5,10,9] => 100010001 => 100010001 => 011101110
[2,1,5,7,3,8,4,6,10,9] => 100101001 => 100101001 => 011010110
[3,5,1,7,2,8,4,6,10,9] => 010101001 => 100101010 => 011010101
[4,5,7,1,2,8,3,6,10,9] => 001001001 => 100100100 => 011011011
[3,4,1,2,7,8,5,6,10,9] => 010001001 => 100100010 => 011011101
[2,1,4,3,7,8,5,6,10,9] => 101001001 => 100100101 => 011011010
[2,1,4,3,8,7,6,5,10,9] => 101011101 => 101110101 => 010001010
[4,3,2,1,8,7,6,5,10,9] => 111011101 => 101110111 => 010001000
[8,3,2,7,6,5,4,1,10,9] => 110111101 => 101111011 => 010000100
[10,3,2,7,6,5,4,9,8,1] => 110111011 => 110111011 => 001000100
[2,1,8,7,6,5,4,3,10,9] => 101111101 => 101111101 => 010000010
[8,7,6,5,4,3,2,1,10,9] => 111111101 => 101111111 => 010000000
[9,7,6,5,4,3,2,10,1,8] => 111111010 => 010111111 => 101000000
[10,7,6,5,4,3,2,9,8,1] => 111111011 => 110111111 => 001000000
[2,1,10,7,6,5,4,9,8,3] => 101111011 => 110111101 => 001000010
[10,9,6,5,4,3,8,7,2,1] => 111110111 => 111011111 => 000100000
[2,1,4,3,10,7,6,9,8,5] => 101011011 => 110110101 => 001001010
[4,3,2,1,10,7,6,9,8,5] => 111011011 => 110110111 => 001001000
[10,3,2,9,6,5,8,7,4,1] => 110110111 => 111011011 => 000100100
[2,1,10,9,6,5,8,7,4,3] => 101110111 => 111011101 => 000100010
[10,9,8,5,4,7,6,3,2,1] => 111101111 => 111101111 => 000010000
[10,8,9,6,7,4,5,2,3,1] => 101010101 => 101010101 => 010101010
[2,1,7,8,9,10,3,4,5,6] => 100001000 => 000100001 => 111011110
[3,7,1,8,9,10,2,4,5,6] => 010001000 => 000100010 => 111011101
[4,7,8,1,9,10,2,3,5,6] => 001001000 => 000100100 => 111011011
[5,7,8,9,1,10,2,3,4,6] => 000101000 => 000101000 => 111010111
[6,7,8,9,10,1,2,3,4,5] => 000010000 => 000010000 => 111101111
[5,6,8,9,1,2,10,3,4,7] => 000100100 => 001001000 => 110110111
[4,6,8,1,9,2,10,3,5,7] => 001010100 => 001010100 => 110101011
[3,6,1,8,9,2,10,4,5,7] => 010010100 => 001010010 => 110101101
[2,1,6,8,9,3,10,4,5,7] => 100010100 => 001010001 => 110101110
[2,1,5,8,3,9,10,4,6,7] => 100100100 => 001001001 => 110110110
[3,5,1,8,2,9,10,4,6,7] => 010100100 => 001001010 => 110110101
[4,5,8,1,2,9,10,3,6,7] => 001000100 => 001000100 => 110111011
[7,3,2,8,9,10,1,4,5,6] => 110001000 => 000100011 => 111011100
[3,4,1,2,8,9,10,5,6,7] => 010000100 => 001000010 => 110111101
[2,1,4,3,8,9,10,5,6,7] => 101000100 => 001000101 => 110111010
[2,1,4,3,7,9,5,10,6,8] => 101001010 => 010100101 => 101011010
[3,4,1,2,7,9,5,10,6,8] => 010001010 => 010100010 => 101011101
[4,5,7,1,2,9,3,10,6,8] => 001001010 => 010100100 => 101011011
[3,5,1,7,2,9,4,10,6,8] => 010101010 => 010101010 => 101010101
[2,1,5,7,3,9,4,10,6,8] => 100101010 => 010101001 => 101010110
[2,1,6,7,9,3,4,10,5,8] => 100010010 => 010010001 => 101101110
[3,6,1,7,9,2,4,10,5,8] => 010010010 => 010010010 => 101101101
[4,6,7,1,9,2,3,10,5,8] => 001010010 => 010010100 => 101101011
[5,6,7,9,1,2,3,10,4,8] => 000100010 => 010001000 => 101110111
[8,5,4,3,2,9,10,1,6,7] => 111100100 => 001001111 => 110110000
[2,1,5,6,3,4,9,10,7,8] => 100100010 => 010001001 => 101110110
[3,5,1,6,2,4,9,10,7,8] => 010100010 => 010001010 => 101110101
[4,5,6,1,2,3,9,10,7,8] => 001000010 => 010000100 => 101111011
[3,4,1,2,6,5,9,10,7,8] => 010010010 => 010010010 => 101101101
[2,1,4,3,6,5,9,10,7,8] => 101010010 => 010010101 => 101101010
[2,1,4,3,6,5,10,9,8,7] => 101010111 => 111010101 => 000101010
[4,3,2,1,6,5,10,9,8,7] => 111010111 => 111010111 => 000101000
[6,3,2,5,4,1,10,9,8,7] => 110110111 => 111011011 => 000100100
[10,3,2,5,4,9,8,7,6,1] => 110101111 => 111101011 => 000010100
[2,1,6,5,4,3,10,9,8,7] => 101110111 => 111011101 => 000100010
[6,5,4,3,2,1,10,9,8,7] => 111110111 => 111011111 => 000100000
[10,5,4,3,2,9,8,7,6,1] => 111101111 => 111101111 => 000010000
[2,1,10,5,4,9,8,7,6,3] => 101101111 => 111101101 => 000010010
[10,9,4,3,8,7,6,5,2,1] => 111011111 => 111110111 => 000001000
[9,7,5,10,3,8,2,6,1,4] => 110101010 => 010101011 => 101010100
[2,1,4,3,10,9,8,7,6,5] => 101011111 => 111110101 => 000001010
[4,3,2,1,10,9,8,7,6,5] => 111011111 => 111110111 => 000001000
[10,3,2,9,8,7,6,5,4,1] => 110111111 => 111111011 => 000000100
[2,1,10,9,8,7,6,5,4,3] => 101111111 => 111111101 => 000000010
[9,10,8,7,6,5,4,3,1,2] => 011111110 => 011111110 => 100000001
[10,9,8,7,6,5,4,3,2,1] => 111111111 => 111111111 => 000000000
[3,2,5,1,4,6,7,8] => 1010000 => 0000101 => 1111010
[4,2,5,1,3,6,7,8] => 1010000 => 0000101 => 1111010
[5,2,4,1,3,6,7,8] => 1010000 => 0000101 => 1111010
[3,2,6,1,4,5,7,8] => 1010000 => 0000101 => 1111010
[4,2,6,1,3,5,7,8] => 1010000 => 0000101 => 1111010
[5,3,6,1,2,4,7,8] => 1010000 => 0000101 => 1111010
[6,2,4,1,3,5,7,8] => 1010000 => 0000101 => 1111010
[6,3,5,1,2,4,7,8] => 1010000 => 0000101 => 1111010
[5,2,7,1,3,4,6,8] => 1010000 => 0000101 => 1111010
[5,3,7,1,2,4,6,8] => 1010000 => 0000101 => 1111010
[5,4,7,1,2,3,6,8] => 1010000 => 0000101 => 1111010
[6,2,7,1,3,4,5,8] => 1010000 => 0000101 => 1111010
[6,3,7,1,2,4,5,8] => 1010000 => 0000101 => 1111010
[6,4,7,1,2,3,5,8] => 1010000 => 0000101 => 1111010
[7,3,5,1,2,4,6,8] => 1010000 => 0000101 => 1111010
[7,3,6,1,2,4,5,8] => 1010000 => 0000101 => 1111010
[7,4,6,1,2,3,5,8] => 1010000 => 0000101 => 1111010
[3,2,8,1,4,5,6,7] => 1010000 => 0000101 => 1111010
[4,2,8,1,3,5,6,7] => 1010000 => 0000101 => 1111010
[5,2,8,1,3,4,6,7] => 1010000 => 0000101 => 1111010
[5,4,8,1,2,3,6,7] => 1010000 => 0000101 => 1111010
[6,2,8,1,3,4,5,7] => 1010000 => 0000101 => 1111010
[6,3,8,1,2,4,5,7] => 1010000 => 0000101 => 1111010
[6,4,8,1,2,3,5,7] => 1010000 => 0000101 => 1111010
[6,5,8,1,2,3,4,7] => 1010000 => 0000101 => 1111010
[7,2,8,1,3,4,5,6] => 1010000 => 0000101 => 1111010
[7,3,8,1,2,4,5,6] => 1010000 => 0000101 => 1111010
[7,4,8,1,2,3,5,6] => 1010000 => 0000101 => 1111010
[7,5,8,1,2,3,4,6] => 1010000 => 0000101 => 1111010
[8,2,4,1,3,5,6,7] => 1010000 => 0000101 => 1111010
[8,3,5,1,2,4,6,7] => 1010000 => 0000101 => 1111010
[8,3,6,1,2,4,5,7] => 1010000 => 0000101 => 1111010
[8,3,7,1,2,4,5,6] => 1010000 => 0000101 => 1111010
[8,4,7,1,2,3,5,6] => 1010000 => 0000101 => 1111010
[8,5,7,1,2,3,4,6] => 1010000 => 0000101 => 1111010
[3,2,5,7,1,4,6,8] => 1001000 => 0001001 => 1110110
[4,2,5,7,1,3,6,8] => 1001000 => 0001001 => 1110110
[4,3,5,7,1,2,6,8] => 1001000 => 0001001 => 1110110
[5,2,4,7,1,3,6,8] => 1001000 => 0001001 => 1110110
[5,3,4,7,1,2,6,8] => 1001000 => 0001001 => 1110110
[4,2,6,7,1,3,5,8] => 1001000 => 0001001 => 1110110
[5,2,6,7,1,3,4,8] => 1001000 => 0001001 => 1110110
[5,3,6,7,1,2,4,8] => 1001000 => 0001001 => 1110110
[6,2,5,7,1,3,4,8] => 1001000 => 0001001 => 1110110
[6,3,5,7,1,2,4,8] => 1001000 => 0001001 => 1110110
[7,2,4,6,1,3,5,8] => 1001000 => 0001001 => 1110110
[7,3,4,6,1,2,5,8] => 1001000 => 0001001 => 1110110
[7,3,5,6,1,2,4,8] => 1001000 => 0001001 => 1110110
[3,2,5,8,1,4,6,7] => 1001000 => 0001001 => 1110110
[4,2,5,8,1,3,6,7] => 1001000 => 0001001 => 1110110
[4,3,5,8,1,2,6,7] => 1001000 => 0001001 => 1110110
[5,2,4,8,1,3,6,7] => 1001000 => 0001001 => 1110110
[3,2,6,8,1,4,5,7] => 1001000 => 0001001 => 1110110
[4,2,6,8,1,3,5,7] => 1001000 => 0001001 => 1110110
[4,3,6,8,1,2,5,7] => 1001000 => 0001001 => 1110110
[5,2,6,8,1,3,4,7] => 1001000 => 0001001 => 1110110
[6,2,4,8,1,3,5,7] => 1001000 => 0001001 => 1110110
[6,3,4,8,1,2,5,7] => 1001000 => 0001001 => 1110110
[6,2,5,8,1,3,4,7] => 1001000 => 0001001 => 1110110
[6,3,5,8,1,2,4,7] => 1001000 => 0001001 => 1110110
[6,4,5,8,1,2,3,7] => 1001000 => 0001001 => 1110110
[3,2,7,8,1,4,5,6] => 1001000 => 0001001 => 1110110
[4,3,7,8,1,2,5,6] => 1001000 => 0001001 => 1110110
[5,3,7,8,1,2,4,6] => 1001000 => 0001001 => 1110110
[6,2,7,8,1,3,4,5] => 1001000 => 0001001 => 1110110
[6,3,7,8,1,2,4,5] => 1001000 => 0001001 => 1110110
[6,4,7,8,1,2,3,5] => 1001000 => 0001001 => 1110110
[7,2,4,8,1,3,5,6] => 1001000 => 0001001 => 1110110
[7,3,4,8,1,2,5,6] => 1001000 => 0001001 => 1110110
[7,3,5,8,1,2,4,6] => 1001000 => 0001001 => 1110110
[7,4,5,8,1,2,3,6] => 1001000 => 0001001 => 1110110
[7,4,6,8,1,2,3,5] => 1001000 => 0001001 => 1110110
[8,2,4,6,1,3,5,7] => 1001000 => 0001001 => 1110110
[8,3,4,6,1,2,5,7] => 1001000 => 0001001 => 1110110
[8,2,5,6,1,3,4,7] => 1001000 => 0001001 => 1110110
[8,3,5,6,1,2,4,7] => 1001000 => 0001001 => 1110110
[8,2,4,7,1,3,5,6] => 1001000 => 0001001 => 1110110
[8,2,5,7,1,3,4,6] => 1001000 => 0001001 => 1110110
[8,3,5,7,1,2,4,6] => 1001000 => 0001001 => 1110110
[8,2,6,7,1,3,4,5] => 1001000 => 0001001 => 1110110
[8,4,6,7,1,2,3,5] => 1001000 => 0001001 => 1110110
[3,6,2,5,1,4,7,8] => 0101000 => 0001010 => 1110101
[4,6,2,5,1,3,7,8] => 0101000 => 0001010 => 1110101
[4,6,3,5,1,2,7,8] => 0101000 => 0001010 => 1110101
[3,7,2,5,1,4,6,8] => 0101000 => 0001010 => 1110101
[4,7,3,5,1,2,6,8] => 0101000 => 0001010 => 1110101
[5,7,2,4,1,3,6,8] => 0101000 => 0001010 => 1110101
[5,7,3,4,1,2,6,8] => 0101000 => 0001010 => 1110101
[3,7,2,6,1,4,5,8] => 0101000 => 0001010 => 1110101
[4,7,3,6,1,2,5,8] => 0101000 => 0001010 => 1110101
[5,7,2,6,1,3,4,8] => 0101000 => 0001010 => 1110101
[5,7,3,6,1,2,4,8] => 0101000 => 0001010 => 1110101
[6,7,2,5,1,3,4,8] => 0101000 => 0001010 => 1110101
[4,8,2,5,1,3,6,7] => 0101000 => 0001010 => 1110101
[5,8,2,4,1,3,6,7] => 0101000 => 0001010 => 1110101
[5,8,3,4,1,2,6,7] => 0101000 => 0001010 => 1110101
[3,8,2,6,1,4,5,7] => 0101000 => 0001010 => 1110101
[4,8,2,6,1,3,5,7] => 0101000 => 0001010 => 1110101
[5,8,3,6,1,2,4,7] => 0101000 => 0001010 => 1110101
[5,8,4,6,1,2,3,7] => 0101000 => 0001010 => 1110101
[6,8,2,4,1,3,5,7] => 0101000 => 0001010 => 1110101
[6,8,3,4,1,2,5,7] => 0101000 => 0001010 => 1110101
[6,8,3,5,1,2,4,7] => 0101000 => 0001010 => 1110101
[6,8,4,5,1,2,3,7] => 0101000 => 0001010 => 1110101
[3,8,2,7,1,4,5,6] => 0101000 => 0001010 => 1110101
[4,8,2,7,1,3,5,6] => 0101000 => 0001010 => 1110101
[4,8,3,7,1,2,5,6] => 0101000 => 0001010 => 1110101
[5,8,2,7,1,3,4,6] => 0101000 => 0001010 => 1110101
[5,8,3,7,1,2,4,6] => 0101000 => 0001010 => 1110101
[5,8,4,7,1,2,3,6] => 0101000 => 0001010 => 1110101
[6,8,2,7,1,3,4,5] => 0101000 => 0001010 => 1110101
[6,8,3,7,1,2,4,5] => 0101000 => 0001010 => 1110101
[6,8,5,7,1,2,3,4] => 0101000 => 0001010 => 1110101
[7,8,2,4,1,3,5,6] => 0101000 => 0001010 => 1110101
[7,8,2,5,1,3,4,6] => 0101000 => 0001010 => 1110101
[7,8,3,5,1,2,4,6] => 0101000 => 0001010 => 1110101
[7,8,4,6,1,2,3,5] => 0101000 => 0001010 => 1110101
[4,3,2,6,1,5,7,8] => 1101000 => 0001011 => 1110100
[5,3,2,6,1,4,7,8] => 1101000 => 0001011 => 1110100
[6,3,2,5,1,4,7,8] => 1101000 => 0001011 => 1110100
[6,4,2,5,1,3,7,8] => 1101000 => 0001011 => 1110100
[6,5,2,4,1,3,7,8] => 1101000 => 0001011 => 1110100
[4,3,2,7,1,5,6,8] => 1101000 => 0001011 => 1110100
[5,3,2,7,1,4,6,8] => 1101000 => 0001011 => 1110100
[5,4,3,7,1,2,6,8] => 1101000 => 0001011 => 1110100
[6,3,2,7,1,4,5,8] => 1101000 => 0001011 => 1110100
[6,4,2,7,1,3,5,8] => 1101000 => 0001011 => 1110100
[6,4,3,7,1,2,5,8] => 1101000 => 0001011 => 1110100
[6,5,3,7,1,2,4,8] => 1101000 => 0001011 => 1110100
[7,3,2,5,1,4,6,8] => 1101000 => 0001011 => 1110100
[7,4,2,5,1,3,6,8] => 1101000 => 0001011 => 1110100
[7,3,2,6,1,4,5,8] => 1101000 => 0001011 => 1110100
[7,4,2,6,1,3,5,8] => 1101000 => 0001011 => 1110100
[7,4,3,6,1,2,5,8] => 1101000 => 0001011 => 1110100
[7,5,2,6,1,3,4,8] => 1101000 => 0001011 => 1110100
[7,5,3,6,1,2,4,8] => 1101000 => 0001011 => 1110100
[7,6,3,5,1,2,4,8] => 1101000 => 0001011 => 1110100
[4,3,2,8,1,5,6,7] => 1101000 => 0001011 => 1110100
[5,3,2,8,1,4,6,7] => 1101000 => 0001011 => 1110100
[5,4,3,8,1,2,6,7] => 1101000 => 0001011 => 1110100
[6,3,2,8,1,4,5,7] => 1101000 => 0001011 => 1110100
[6,4,2,8,1,3,5,7] => 1101000 => 0001011 => 1110100
[6,4,3,8,1,2,5,7] => 1101000 => 0001011 => 1110100
[6,5,2,8,1,3,4,7] => 1101000 => 0001011 => 1110100
[6,5,3,8,1,2,4,7] => 1101000 => 0001011 => 1110100
[6,5,4,8,1,2,3,7] => 1101000 => 0001011 => 1110100
[7,3,2,8,1,4,5,6] => 1101000 => 0001011 => 1110100
[7,4,2,8,1,3,5,6] => 1101000 => 0001011 => 1110100
[7,4,3,8,1,2,5,6] => 1101000 => 0001011 => 1110100
[7,5,3,8,1,2,4,6] => 1101000 => 0001011 => 1110100
[7,5,4,8,1,2,3,6] => 1101000 => 0001011 => 1110100
[7,6,2,8,1,3,4,5] => 1101000 => 0001011 => 1110100
[8,3,2,5,1,4,6,7] => 1101000 => 0001011 => 1110100
[8,4,2,5,1,3,6,7] => 1101000 => 0001011 => 1110100
[8,3,2,6,1,4,5,7] => 1101000 => 0001011 => 1110100
[8,4,2,6,1,3,5,7] => 1101000 => 0001011 => 1110100
[8,5,3,6,1,2,4,7] => 1101000 => 0001011 => 1110100
[8,6,2,4,1,3,5,7] => 1101000 => 0001011 => 1110100
[8,6,2,5,1,3,4,7] => 1101000 => 0001011 => 1110100
[8,3,2,7,1,4,5,6] => 1101000 => 0001011 => 1110100
[8,4,2,7,1,3,5,6] => 1101000 => 0001011 => 1110100
[8,4,3,7,1,2,5,6] => 1101000 => 0001011 => 1110100
[8,5,2,7,1,3,4,6] => 1101000 => 0001011 => 1110100
[8,5,3,7,1,2,4,6] => 1101000 => 0001011 => 1110100
[8,5,4,7,1,2,3,6] => 1101000 => 0001011 => 1110100
[8,6,3,7,1,2,4,5] => 1101000 => 0001011 => 1110100
[8,7,2,4,1,3,5,6] => 1101000 => 0001011 => 1110100
[8,7,2,5,1,3,4,6] => 1101000 => 0001011 => 1110100
[8,7,3,5,1,2,4,6] => 1101000 => 0001011 => 1110100
[8,7,2,6,1,3,4,5] => 1101000 => 0001011 => 1110100
[8,7,3,6,1,2,4,5] => 1101000 => 0001011 => 1110100
[8,7,4,6,1,2,3,5] => 1101000 => 0001011 => 1110100
[3,6,2,5,8,1,4,7] => 0100100 => 0010010 => 1101101
[4,6,3,5,8,1,2,7] => 0100100 => 0010010 => 1101101
[5,6,2,4,8,1,3,7] => 0100100 => 0010010 => 1101101
[4,7,2,5,8,1,3,6] => 0100100 => 0010010 => 1101101
[4,7,3,5,8,1,2,6] => 0100100 => 0010010 => 1101101
[5,7,2,4,8,1,3,6] => 0100100 => 0010010 => 1101101
[5,7,3,4,8,1,2,6] => 0100100 => 0010010 => 1101101
[3,7,2,6,8,1,4,5] => 0100100 => 0010010 => 1101101
[4,7,3,6,8,1,2,5] => 0100100 => 0010010 => 1101101
[5,7,2,6,8,1,3,4] => 0100100 => 0010010 => 1101101
[5,7,4,6,8,1,2,3] => 0100100 => 0010010 => 1101101
[6,7,3,4,8,1,2,5] => 0100100 => 0010010 => 1101101
[6,7,3,5,8,1,2,4] => 0100100 => 0010010 => 1101101
[3,8,2,5,7,1,4,6] => 0100100 => 0010010 => 1101101
[4,8,2,5,7,1,3,6] => 0100100 => 0010010 => 1101101
[4,8,3,5,7,1,2,6] => 0100100 => 0010010 => 1101101
[5,8,2,4,7,1,3,6] => 0100100 => 0010010 => 1101101
[3,8,2,6,7,1,4,5] => 0100100 => 0010010 => 1101101
[4,8,3,6,7,1,2,5] => 0100100 => 0010010 => 1101101
[5,8,2,6,7,1,3,4] => 0100100 => 0010010 => 1101101
[5,8,3,6,7,1,2,4] => 0100100 => 0010010 => 1101101
[6,8,2,5,7,1,3,4] => 0100100 => 0010010 => 1101101
[6,8,3,5,7,1,2,4] => 0100100 => 0010010 => 1101101
[6,8,4,5,7,1,2,3] => 0100100 => 0010010 => 1101101
[7,8,2,4,6,1,3,5] => 0100100 => 0010010 => 1101101
[7,8,2,5,6,1,3,4] => 0100100 => 0010010 => 1101101
[7,8,3,5,6,1,2,4] => 0100100 => 0010010 => 1101101
[4,3,2,6,8,1,5,7] => 1100100 => 0010011 => 1101100
[5,3,2,6,8,1,4,7] => 1100100 => 0010011 => 1101100
[5,4,2,6,8,1,3,7] => 1100100 => 0010011 => 1101100
[5,4,3,6,8,1,2,7] => 1100100 => 0010011 => 1101100
[6,3,2,5,8,1,4,7] => 1100100 => 0010011 => 1101100
[6,4,3,5,8,1,2,7] => 1100100 => 0010011 => 1101100
[6,5,2,4,8,1,3,7] => 1100100 => 0010011 => 1101100
[4,3,2,7,8,1,5,6] => 1100100 => 0010011 => 1101100
[5,3,2,7,8,1,4,6] => 1100100 => 0010011 => 1101100
[5,4,2,7,8,1,3,6] => 1100100 => 0010011 => 1101100
[5,4,3,7,8,1,2,6] => 1100100 => 0010011 => 1101100
[6,4,2,7,8,1,3,5] => 1100100 => 0010011 => 1101100
[6,4,3,7,8,1,2,5] => 1100100 => 0010011 => 1101100
[6,5,2,7,8,1,3,4] => 1100100 => 0010011 => 1101100
[7,4,2,5,8,1,3,6] => 1100100 => 0010011 => 1101100
[7,4,3,5,8,1,2,6] => 1100100 => 0010011 => 1101100
[7,5,3,4,8,1,2,6] => 1100100 => 0010011 => 1101100
[7,3,2,6,8,1,4,5] => 1100100 => 0010011 => 1101100
[7,5,2,6,8,1,3,4] => 1100100 => 0010011 => 1101100
[7,5,3,6,8,1,2,4] => 1100100 => 0010011 => 1101100
[7,6,2,4,8,1,3,5] => 1100100 => 0010011 => 1101100
[7,6,3,5,8,1,2,4] => 1100100 => 0010011 => 1101100
[8,3,2,5,7,1,4,6] => 1100100 => 0010011 => 1101100
[8,4,2,5,7,1,3,6] => 1100100 => 0010011 => 1101100
[8,5,2,4,7,1,3,6] => 1100100 => 0010011 => 1101100
[8,3,2,6,7,1,4,5] => 1100100 => 0010011 => 1101100
[8,4,2,6,7,1,3,5] => 1100100 => 0010011 => 1101100
[8,5,2,6,7,1,3,4] => 1100100 => 0010011 => 1101100
[8,5,3,6,7,1,2,4] => 1100100 => 0010011 => 1101100
[8,6,2,4,7,1,3,5] => 1100100 => 0010011 => 1101100
[8,6,3,5,7,1,2,4] => 1100100 => 0010011 => 1101100
[8,7,2,4,6,1,3,5] => 1100100 => 0010011 => 1101100
[8,7,3,4,6,1,2,5] => 1100100 => 0010011 => 1101100
[8,7,2,5,6,1,3,4] => 1100100 => 0010011 => 1101100
[8,7,3,5,6,1,2,4] => 1100100 => 0010011 => 1101100
[4,3,7,2,6,1,5,8] => 1010100 => 0010101 => 1101010
[5,3,7,2,6,1,4,8] => 1010100 => 0010101 => 1101010
[5,4,7,2,6,1,3,8] => 1010100 => 0010101 => 1101010
[6,3,7,2,5,1,4,8] => 1010100 => 0010101 => 1101010
[6,4,7,2,5,1,3,8] => 1010100 => 0010101 => 1101010
[6,4,7,3,5,1,2,8] => 1010100 => 0010101 => 1101010
[7,3,6,2,5,1,4,8] => 1010100 => 0010101 => 1101010
[4,3,8,2,6,1,5,7] => 1010100 => 0010101 => 1101010
[5,3,8,2,6,1,4,7] => 1010100 => 0010101 => 1101010
[5,4,8,2,6,1,3,7] => 1010100 => 0010101 => 1101010
[5,4,8,3,6,1,2,7] => 1010100 => 0010101 => 1101010
[6,4,8,2,5,1,3,7] => 1010100 => 0010101 => 1101010
[6,4,8,3,5,1,2,7] => 1010100 => 0010101 => 1101010
[6,5,8,2,4,1,3,7] => 1010100 => 0010101 => 1101010
[6,5,8,3,4,1,2,7] => 1010100 => 0010101 => 1101010
[4,3,8,2,7,1,5,6] => 1010100 => 0010101 => 1101010
[5,3,8,2,7,1,4,6] => 1010100 => 0010101 => 1101010
[5,4,8,2,7,1,3,6] => 1010100 => 0010101 => 1101010
[5,4,8,3,7,1,2,6] => 1010100 => 0010101 => 1101010
[6,3,8,2,7,1,4,5] => 1010100 => 0010101 => 1101010
[6,4,8,2,7,1,3,5] => 1010100 => 0010101 => 1101010
[6,4,8,3,7,1,2,5] => 1010100 => 0010101 => 1101010
[7,3,8,2,5,1,4,6] => 1010100 => 0010101 => 1101010
[7,4,8,3,5,1,2,6] => 1010100 => 0010101 => 1101010
[7,5,8,2,4,1,3,6] => 1010100 => 0010101 => 1101010
[7,5,8,3,4,1,2,6] => 1010100 => 0010101 => 1101010
[7,3,8,2,6,1,4,5] => 1010100 => 0010101 => 1101010
[7,4,8,2,6,1,3,5] => 1010100 => 0010101 => 1101010
[7,5,8,2,6,1,3,4] => 1010100 => 0010101 => 1101010
[7,5,8,3,6,1,2,4] => 1010100 => 0010101 => 1101010
[7,5,8,4,6,1,2,3] => 1010100 => 0010101 => 1101010
[7,6,8,2,5,1,3,4] => 1010100 => 0010101 => 1101010
[7,6,8,3,5,1,2,4] => 1010100 => 0010101 => 1101010
[8,3,6,2,5,1,4,7] => 1010100 => 0010101 => 1101010
[8,5,6,2,4,1,3,7] => 1010100 => 0010101 => 1101010
[8,3,7,2,5,1,4,6] => 1010100 => 0010101 => 1101010
[8,5,7,2,4,1,3,6] => 1010100 => 0010101 => 1101010
[8,3,7,2,6,1,4,5] => 1010100 => 0010101 => 1101010
[8,4,7,2,6,1,3,5] => 1010100 => 0010101 => 1101010
[8,4,7,3,6,1,2,5] => 1010100 => 0010101 => 1101010
[8,5,7,2,6,1,3,4] => 1010100 => 0010101 => 1101010
[8,6,7,2,4,1,3,5] => 1010100 => 0010101 => 1101010
[8,6,7,2,5,1,3,4] => 1010100 => 0010101 => 1101010
[8,6,7,3,5,1,2,4] => 1010100 => 0010101 => 1101010
[5,4,3,2,7,1,6,8] => 1110100 => 0010111 => 1101000
[6,4,3,2,7,1,5,8] => 1110100 => 0010111 => 1101000
[6,5,3,2,7,1,4,8] => 1110100 => 0010111 => 1101000
[6,5,4,2,7,1,3,8] => 1110100 => 0010111 => 1101000
[7,5,3,2,6,1,4,8] => 1110100 => 0010111 => 1101000
[7,5,4,2,6,1,3,8] => 1110100 => 0010111 => 1101000
[7,6,3,2,5,1,4,8] => 1110100 => 0010111 => 1101000
[5,4,3,2,8,1,6,7] => 1110100 => 0010111 => 1101000
[6,5,3,2,8,1,4,7] => 1110100 => 0010111 => 1101000
[6,5,4,2,8,1,3,7] => 1110100 => 0010111 => 1101000
[6,5,4,3,8,1,2,7] => 1110100 => 0010111 => 1101000
[7,5,3,2,8,1,4,6] => 1110100 => 0010111 => 1101000
[7,5,4,2,8,1,3,6] => 1110100 => 0010111 => 1101000
[7,6,3,2,8,1,4,5] => 1110100 => 0010111 => 1101000
[7,6,4,3,8,1,2,5] => 1110100 => 0010111 => 1101000
[7,6,5,2,8,1,3,4] => 1110100 => 0010111 => 1101000
[8,5,3,2,6,1,4,7] => 1110100 => 0010111 => 1101000
[8,5,4,2,6,1,3,7] => 1110100 => 0010111 => 1101000
[8,6,4,2,5,1,3,7] => 1110100 => 0010111 => 1101000
[8,6,5,2,4,1,3,7] => 1110100 => 0010111 => 1101000
[8,5,3,2,7,1,4,6] => 1110100 => 0010111 => 1101000
[8,6,3,2,7,1,4,5] => 1110100 => 0010111 => 1101000
[8,6,4,2,7,1,3,5] => 1110100 => 0010111 => 1101000
[8,6,4,3,7,1,2,5] => 1110100 => 0010111 => 1101000
[8,7,3,2,6,1,4,5] => 1110100 => 0010111 => 1101000
[8,7,4,2,6,1,3,5] => 1110100 => 0010111 => 1101000
[8,7,4,3,6,1,2,5] => 1110100 => 0010111 => 1101000
[8,7,5,2,6,1,3,4] => 1110100 => 0010111 => 1101000
[8,7,6,2,4,1,3,5] => 1110100 => 0010111 => 1101000
[8,7,6,2,5,1,3,4] => 1110100 => 0010111 => 1101000
[8,7,6,3,5,1,2,4] => 1110100 => 0010111 => 1101000
[4,8,3,7,2,6,1,5] => 0101010 => 0101010 => 1010101
[5,8,3,7,2,6,1,4] => 0101010 => 0101010 => 1010101
[5,8,4,7,2,6,1,3] => 0101010 => 0101010 => 1010101
[5,8,4,7,3,6,1,2] => 0101010 => 0101010 => 1010101
[6,8,3,7,2,5,1,4] => 0101010 => 0101010 => 1010101
[6,8,4,7,2,5,1,3] => 0101010 => 0101010 => 1010101
[6,8,4,7,3,5,1,2] => 0101010 => 0101010 => 1010101
[6,8,5,7,2,4,1,3] => 0101010 => 0101010 => 1010101
[6,8,5,7,3,4,1,2] => 0101010 => 0101010 => 1010101
[7,8,3,6,2,5,1,4] => 0101010 => 0101010 => 1010101
[7,8,4,6,2,5,1,3] => 0101010 => 0101010 => 1010101
[7,8,4,6,3,5,1,2] => 0101010 => 0101010 => 1010101
[7,8,5,6,2,4,1,3] => 0101010 => 0101010 => 1010101
[5,4,3,8,2,7,1,6] => 1101010 => 0101011 => 1010100
[6,4,3,8,2,7,1,5] => 1101010 => 0101011 => 1010100
[6,5,3,8,2,7,1,4] => 1101010 => 0101011 => 1010100
[6,5,4,8,2,7,1,3] => 1101010 => 0101011 => 1010100
[6,5,4,8,3,7,1,2] => 1101010 => 0101011 => 1010100
[7,4,3,8,2,6,1,5] => 1101010 => 0101011 => 1010100
[7,5,3,8,2,6,1,4] => 1101010 => 0101011 => 1010100
[7,5,4,8,2,6,1,3] => 1101010 => 0101011 => 1010100
[7,6,3,8,2,5,1,4] => 1101010 => 0101011 => 1010100
[7,6,4,8,2,5,1,3] => 1101010 => 0101011 => 1010100
[7,6,5,8,2,4,1,3] => 1101010 => 0101011 => 1010100
[8,4,3,7,2,6,1,5] => 1101010 => 0101011 => 1010100
[8,5,3,7,2,6,1,4] => 1101010 => 0101011 => 1010100
[8,5,4,7,2,6,1,3] => 1101010 => 0101011 => 1010100
[8,5,4,7,3,6,1,2] => 1101010 => 0101011 => 1010100
[8,6,3,7,2,5,1,4] => 1101010 => 0101011 => 1010100
[8,6,4,7,2,5,1,3] => 1101010 => 0101011 => 1010100
[8,6,5,7,2,4,1,3] => 1101010 => 0101011 => 1010100
[8,7,3,6,2,5,1,4] => 1101010 => 0101011 => 1010100
[8,7,4,6,2,5,1,3] => 1101010 => 0101011 => 1010100
[8,7,4,6,3,5,1,2] => 1101010 => 0101011 => 1010100
[8,7,5,6,2,4,1,3] => 1101010 => 0101011 => 1010100
[6,5,4,3,2,8,1,7] => 1111010 => 0101111 => 1010000
[7,6,4,3,2,8,1,5] => 1111010 => 0101111 => 1010000
[7,6,5,4,2,8,1,3] => 1111010 => 0101111 => 1010000
[8,5,4,3,2,7,1,6] => 1111010 => 0101111 => 1010000
[8,6,4,3,2,7,1,5] => 1111010 => 0101111 => 1010000
[8,6,5,3,2,7,1,4] => 1111010 => 0101111 => 1010000
[8,6,5,4,2,7,1,3] => 1111010 => 0101111 => 1010000
[8,7,4,3,2,6,1,5] => 1111010 => 0101111 => 1010000
[8,7,5,3,2,6,1,4] => 1111010 => 0101111 => 1010000
[8,7,5,4,2,6,1,3] => 1111010 => 0101111 => 1010000
[8,7,6,3,2,5,1,4] => 1111010 => 0101111 => 1010000
[8,7,6,4,2,5,1,3] => 1111010 => 0101111 => 1010000
[8,7,6,5,2,4,1,3] => 1111010 => 0101111 => 1010000
[8,1,2,3,4,7,5,6] => 1000010 => 0100001 => 1011110
[8,1,2,3,6,4,5,7] => 1000100 => 0010001 => 1101110
[8,1,2,3,7,4,5,6] => 1000100 => 0010001 => 1101110
[7,1,2,3,6,4,8,5] => 1000101 => 1010001 => 0101110
[5,1,2,3,8,7,4,6] => 1000110 => 0110001 => 1001110
[8,1,2,3,6,7,4,5] => 1000010 => 0100001 => 1011110
[4,1,2,8,3,7,5,6] => 1001010 => 0101001 => 1010110
[8,1,2,5,3,4,6,7] => 1001000 => 0001001 => 1110110
[7,1,2,5,3,4,8,6] => 1001001 => 1001001 => 0110110
[8,1,2,6,3,4,5,7] => 1001000 => 0001001 => 1110110
[7,1,2,6,3,4,8,5] => 1001001 => 1001001 => 0110110
[6,1,2,5,3,8,4,7] => 1001010 => 0101001 => 1010110
[8,1,2,5,3,7,4,6] => 1001010 => 0101001 => 1010110
[8,1,2,6,3,7,4,5] => 1001010 => 0101001 => 1010110
[6,1,2,5,3,7,8,4] => 1001001 => 1001001 => 0110110
[4,1,2,8,6,3,5,7] => 1001100 => 0011001 => 1100110
[4,1,2,8,7,3,5,6] => 1001100 => 0011001 => 1100110
[4,1,2,7,6,3,8,5] => 1001101 => 1011001 => 0100110
[8,1,2,5,6,3,4,7] => 1000100 => 0010001 => 1101110
[8,1,2,5,7,3,4,6] => 1000100 => 0010001 => 1101110
[8,1,2,7,6,3,4,5] => 1001100 => 0011001 => 1100110
[7,1,2,5,6,3,8,4] => 1000101 => 1010001 => 0101110
[4,1,2,5,8,7,3,6] => 1000110 => 0110001 => 1001110
[4,1,2,8,6,7,3,5] => 1001010 => 0101001 => 1010110
[8,1,2,5,6,7,3,4] => 1000010 => 0100001 => 1011110
[3,1,8,2,4,7,5,6] => 1010010 => 0100101 => 1011010
[3,1,8,2,6,4,5,7] => 1010100 => 0010101 => 1101010
[3,1,8,2,7,4,5,6] => 1010100 => 0010101 => 1101010
[3,1,7,2,6,4,8,5] => 1010101 => 1010101 => 0101010
[3,1,5,2,8,7,4,6] => 1010110 => 0110101 => 1001010
[3,1,8,2,6,7,4,5] => 1010010 => 0100101 => 1011010
[8,1,4,2,3,5,6,7] => 1010000 => 0000101 => 1111010
[7,1,4,2,3,5,8,6] => 1010001 => 1000101 => 0111010
[6,1,4,2,3,8,5,7] => 1010010 => 0100101 => 1011010
[8,1,4,2,3,7,5,6] => 1010010 => 0100101 => 1011010
[6,1,4,2,3,7,8,5] => 1010001 => 1000101 => 0111010
[8,1,5,2,3,4,6,7] => 1010000 => 0000101 => 1111010
[7,1,5,2,3,4,8,6] => 1010001 => 1000101 => 0111010
[8,1,7,2,3,4,5,6] => 1010000 => 0000101 => 1111010
[6,1,5,2,3,8,4,7] => 1010010 => 0100101 => 1011010
[8,1,5,2,3,7,4,6] => 1010010 => 0100101 => 1011010
[6,1,8,2,3,7,4,5] => 1010010 => 0100101 => 1011010
[6,1,5,2,3,7,8,4] => 1010001 => 1000101 => 0111010
[5,1,4,2,8,3,6,7] => 1010100 => 0010101 => 1101010
[5,1,4,2,7,3,8,6] => 1010101 => 1010101 => 0101010
[8,1,4,2,6,3,5,7] => 1010100 => 0010101 => 1101010
[8,1,4,2,7,3,5,6] => 1010100 => 0010101 => 1101010
[7,1,4,2,6,3,8,5] => 1010101 => 1010101 => 0101010
[8,1,5,2,6,3,4,7] => 1010100 => 0010101 => 1101010
[8,1,5,2,7,3,4,6] => 1010100 => 0010101 => 1101010
[7,1,8,2,6,3,4,5] => 1010100 => 0010101 => 1101010
[7,1,5,2,6,3,8,4] => 1010101 => 1010101 => 0101010
[5,1,4,2,6,8,3,7] => 1010010 => 0100101 => 1011010
[5,1,4,2,8,7,3,6] => 1010110 => 0110101 => 1001010
[8,1,4,2,6,7,3,5] => 1010010 => 0100101 => 1011010
[8,1,5,2,6,7,3,4] => 1010010 => 0100101 => 1011010
[5,1,4,2,6,7,8,3] => 1010001 => 1000101 => 0111010
[3,1,4,8,2,7,5,6] => 1001010 => 0101001 => 1010110
[3,1,8,5,2,4,6,7] => 1011000 => 0001101 => 1110010
[3,1,7,5,2,4,8,6] => 1011001 => 1001101 => 0110010
[3,1,8,6,2,4,5,7] => 1011000 => 0001101 => 1110010
[3,1,7,6,2,4,8,5] => 1011001 => 1001101 => 0110010
[3,1,6,5,2,8,4,7] => 1011010 => 0101101 => 1010010
[3,1,8,5,2,7,4,6] => 1011010 => 0101101 => 1010010
[3,1,8,6,2,7,4,5] => 1011010 => 0101101 => 1010010
[3,1,6,5,2,7,8,4] => 1011001 => 1001101 => 0110010
[8,1,4,5,2,3,6,7] => 1001000 => 0001001 => 1110110
[7,1,4,5,2,3,8,6] => 1001001 => 1001001 => 0110110
[8,1,4,6,2,3,5,7] => 1001000 => 0001001 => 1110110
[7,1,4,8,2,3,5,6] => 1001000 => 0001001 => 1110110
[7,1,4,6,2,3,8,5] => 1001001 => 1001001 => 0110110
[8,1,6,5,2,3,4,7] => 1011000 => 0001101 => 1110010
[7,1,8,5,2,3,4,6] => 1011000 => 0001101 => 1110010
[7,1,8,6,2,3,4,5] => 1011000 => 0001101 => 1110010
[7,1,6,5,2,3,8,4] => 1011001 => 1001101 => 0110010
[6,1,4,5,2,8,3,7] => 1001010 => 0101001 => 1010110
[8,1,4,5,2,7,3,6] => 1001010 => 0101001 => 1010110
[8,1,4,6,2,7,3,5] => 1001010 => 0101001 => 1010110
[8,1,6,5,2,7,3,4] => 1011010 => 0101101 => 1010010
[6,1,4,5,2,7,8,3] => 1001001 => 1001001 => 0110110
[3,1,4,8,6,2,5,7] => 1001100 => 0011001 => 1100110
[3,1,4,8,7,2,5,6] => 1001100 => 0011001 => 1100110
[3,1,4,7,6,2,8,5] => 1001101 => 1011001 => 0100110
[3,1,8,5,6,2,4,7] => 1010100 => 0010101 => 1101010
[3,1,8,5,7,2,4,6] => 1010100 => 0010101 => 1101010
[3,1,8,7,6,2,4,5] => 1011100 => 0011101 => 1100010
[3,1,7,5,6,2,8,4] => 1010101 => 1010101 => 0101010
[8,1,4,5,6,2,3,7] => 1000100 => 0010001 => 1101110
[8,1,4,5,7,2,3,6] => 1000100 => 0010001 => 1101110
[8,1,4,7,6,2,3,5] => 1001100 => 0011001 => 1100110
[8,1,7,5,6,2,3,4] => 1010100 => 0010101 => 1101010
[7,1,4,5,6,2,8,3] => 1000101 => 1010001 => 0101110
[3,1,4,5,8,7,2,6] => 1000110 => 0110001 => 1001110
[3,1,4,8,6,7,2,5] => 1001010 => 0101001 => 1010110
[3,1,8,5,6,7,2,4] => 1010010 => 0100101 => 1011010
[8,1,4,5,6,7,2,3] => 1000010 => 0100001 => 1011110
[2,8,1,3,4,7,5,6] => 0100010 => 0100010 => 1011101
[2,8,1,3,6,4,5,7] => 0100100 => 0010010 => 1101101
[2,8,1,3,7,4,5,6] => 0100100 => 0010010 => 1101101
[2,7,1,3,6,4,8,5] => 0100101 => 1010010 => 0101101
[2,5,1,3,8,7,4,6] => 0100110 => 0110010 => 1001101
[2,8,1,3,6,7,4,5] => 0100010 => 0100010 => 1011101
[2,4,1,8,3,7,5,6] => 0101010 => 0101010 => 1010101
[2,8,1,5,3,4,6,7] => 0101000 => 0001010 => 1110101
[2,7,1,5,3,4,8,6] => 0101001 => 1001010 => 0110101
[2,8,1,6,3,4,5,7] => 0101000 => 0001010 => 1110101
[2,7,1,6,3,4,8,5] => 0101001 => 1001010 => 0110101
[2,6,1,5,3,8,4,7] => 0101010 => 0101010 => 1010101
[2,8,1,5,3,7,4,6] => 0101010 => 0101010 => 1010101
[2,6,1,5,3,7,8,4] => 0101001 => 1001010 => 0110101
[2,4,1,8,6,3,5,7] => 0101100 => 0011010 => 1100101
[2,4,1,8,7,3,5,6] => 0101100 => 0011010 => 1100101
[2,4,1,7,6,3,8,5] => 0101101 => 1011010 => 0100101
[2,8,1,5,6,3,4,7] => 0100100 => 0010010 => 1101101
[2,8,1,5,7,3,4,6] => 0100100 => 0010010 => 1101101
[2,8,1,7,6,3,4,5] => 0101100 => 0011010 => 1100101
[2,7,1,5,6,3,8,4] => 0100101 => 1010010 => 0101101
[2,4,1,5,8,7,3,6] => 0100110 => 0110010 => 1001101
[2,4,1,8,6,7,3,5] => 0101010 => 0101010 => 1010101
[2,8,1,5,6,7,3,4] => 0100010 => 0100010 => 1011101
[7,3,1,2,4,5,8,6] => 1100001 => 1000011 => 0111100
[6,3,1,2,4,8,5,7] => 1100010 => 0100011 => 1011100
[8,3,1,2,4,7,5,6] => 1100010 => 0100011 => 1011100
[6,3,1,2,4,7,8,5] => 1100001 => 1000011 => 0111100
[5,3,1,2,8,4,6,7] => 1100100 => 0010011 => 1101100
[5,3,1,2,7,4,8,6] => 1100101 => 1010011 => 0101100
[8,3,1,2,6,4,5,7] => 1100100 => 0010011 => 1101100
[8,3,1,2,7,4,5,6] => 1100100 => 0010011 => 1101100
[7,3,1,2,6,4,8,5] => 1100101 => 1010011 => 0101100
[5,3,1,2,6,8,4,7] => 1100010 => 0100011 => 1011100
[5,3,1,2,8,7,4,6] => 1100110 => 0110011 => 1001100
[8,3,1,2,6,7,4,5] => 1100010 => 0100011 => 1011100
[5,3,1,2,6,7,8,4] => 1100001 => 1000011 => 0111100
[7,4,1,2,3,5,8,6] => 1100001 => 1000011 => 0111100
[6,4,1,2,3,8,5,7] => 1100010 => 0100011 => 1011100
[8,4,1,2,3,7,5,6] => 1100010 => 0100011 => 1011100
[6,4,1,2,3,7,8,5] => 1100001 => 1000011 => 0111100
[7,6,1,2,3,4,8,5] => 1100001 => 1000011 => 0111100
[5,8,1,2,3,7,4,6] => 0100010 => 0100010 => 1011101
[8,6,1,2,3,7,4,5] => 1100010 => 0100011 => 1011100
[5,4,1,2,8,3,6,7] => 1100100 => 0010011 => 1101100
[5,4,1,2,7,3,8,6] => 1100101 => 1010011 => 0101100
[8,4,1,2,6,3,5,7] => 1100100 => 0010011 => 1101100
[8,4,1,2,7,3,5,6] => 1100100 => 0010011 => 1101100
[7,4,1,2,6,3,8,5] => 1100101 => 1010011 => 0101100
[5,8,1,2,6,3,4,7] => 0100100 => 0010010 => 1101101
[5,8,1,2,7,3,4,6] => 0100100 => 0010010 => 1101101
[8,7,1,2,6,3,4,5] => 1100100 => 0010011 => 1101100
[5,7,1,2,6,3,8,4] => 0100101 => 1010010 => 0101101
[5,4,1,2,6,8,3,7] => 1100010 => 0100011 => 1011100
[5,4,1,2,8,7,3,6] => 1100110 => 0110011 => 1001100
[8,4,1,2,6,7,3,5] => 1100010 => 0100011 => 1011100
[5,8,1,2,6,7,3,4] => 0100010 => 0100010 => 1011101
[5,4,1,2,6,7,8,3] => 1100001 => 1000011 => 0111100
[4,3,1,8,2,5,6,7] => 1101000 => 0001011 => 1110100
[4,3,1,7,2,5,8,6] => 1101001 => 1001011 => 0110100
[4,3,1,6,2,8,5,7] => 1101010 => 0101011 => 1010100
[4,3,1,8,2,7,5,6] => 1101010 => 0101011 => 1010100
[4,3,1,6,2,7,8,5] => 1101001 => 1001011 => 0110100
[8,3,1,5,2,4,6,7] => 1101000 => 0001011 => 1110100
[7,3,1,5,2,4,8,6] => 1101001 => 1001011 => 0110100
[8,3,1,6,2,4,5,7] => 1101000 => 0001011 => 1110100
[7,3,1,8,2,4,5,6] => 1101000 => 0001011 => 1110100
[7,3,1,6,2,4,8,5] => 1101001 => 1001011 => 0110100
[6,3,1,5,2,8,4,7] => 1101010 => 0101011 => 1010100
[8,3,1,5,2,7,4,6] => 1101010 => 0101011 => 1010100
[8,3,1,6,2,7,4,5] => 1101010 => 0101011 => 1010100
[6,3,1,5,2,7,8,4] => 1101001 => 1001011 => 0110100
[8,4,1,5,2,3,6,7] => 1101000 => 0001011 => 1110100
[7,4,1,5,2,3,8,6] => 1101001 => 1001011 => 0110100
[8,4,1,6,2,3,5,7] => 1101000 => 0001011 => 1110100
[7,4,1,8,2,3,5,6] => 1101000 => 0001011 => 1110100
[7,4,1,6,2,3,8,5] => 1101001 => 1001011 => 0110100
[6,8,1,5,2,3,4,7] => 0101000 => 0001010 => 1110101
[8,7,1,5,2,3,4,6] => 1101000 => 0001011 => 1110100
[8,7,1,6,2,3,4,5] => 1101000 => 0001011 => 1110100
[6,7,1,5,2,3,8,4] => 0101001 => 1001010 => 0110101
[6,4,1,5,2,8,3,7] => 1101010 => 0101011 => 1010100
[8,4,1,5,2,7,3,6] => 1101010 => 0101011 => 1010100
[8,4,1,6,2,7,3,5] => 1101010 => 0101011 => 1010100
[6,8,1,5,2,7,3,4] => 0101010 => 0101010 => 1010101
[6,4,1,5,2,7,8,3] => 1101001 => 1001011 => 0110100
[4,3,1,5,8,2,6,7] => 1100100 => 0010011 => 1101100
[4,3,1,5,7,2,8,6] => 1100101 => 1010011 => 0101100
[4,3,1,8,6,2,5,7] => 1101100 => 0011011 => 1100100
[4,3,1,8,7,2,5,6] => 1101100 => 0011011 => 1100100
[4,3,1,7,6,2,8,5] => 1101101 => 1011011 => 0100100
[8,3,1,5,6,2,4,7] => 1100100 => 0010011 => 1101100
[8,3,1,5,7,2,4,6] => 1100100 => 0010011 => 1101100
[8,3,1,7,6,2,4,5] => 1101100 => 0011011 => 1100100
[7,3,1,5,6,2,8,4] => 1100101 => 1010011 => 0101100
[8,4,1,5,6,2,3,7] => 1100100 => 0010011 => 1101100
[8,4,1,5,7,2,3,6] => 1100100 => 0010011 => 1101100
[8,4,1,7,6,2,3,5] => 1101100 => 0011011 => 1100100
[7,8,1,5,6,2,3,4] => 0100100 => 0010010 => 1101101
[7,4,1,5,6,2,8,3] => 1100101 => 1010011 => 0101100
[4,3,1,5,6,8,2,7] => 1100010 => 0100011 => 1011100
[4,3,1,5,8,7,2,6] => 1100110 => 0110011 => 1001100
[4,3,1,8,6,7,2,5] => 1101010 => 0101011 => 1010100
[8,3,1,5,6,7,2,4] => 1100010 => 0100011 => 1011100
[8,4,1,5,6,7,2,3] => 1100010 => 0100011 => 1011100
[4,3,1,5,6,7,8,2] => 1100001 => 1000011 => 0111100
[2,3,8,1,4,7,5,6] => 0010010 => 0100100 => 1011011
[2,3,8,1,6,4,5,7] => 0010100 => 0010100 => 1101011
[2,3,8,1,7,4,5,6] => 0010100 => 0010100 => 1101011
[2,3,7,1,6,4,8,5] => 0010101 => 1010100 => 0101011
[2,3,5,1,8,7,4,6] => 0010110 => 0110100 => 1001011
[2,3,8,1,6,7,4,5] => 0010010 => 0100100 => 1011011
[2,8,4,1,3,5,6,7] => 0110000 => 0000110 => 1111001
[2,7,4,1,3,5,8,6] => 0110001 => 1000110 => 0111001
[2,6,4,1,3,8,5,7] => 0110010 => 0100110 => 1011001
[2,8,4,1,3,7,5,6] => 0110010 => 0100110 => 1011001
[2,6,4,1,3,7,8,5] => 0110001 => 1000110 => 0111001
[2,8,5,1,3,4,6,7] => 0110000 => 0000110 => 1111001
[2,7,5,1,3,4,8,6] => 0110001 => 1000110 => 0111001
[2,8,7,1,3,4,5,6] => 0110000 => 0000110 => 1111001
[2,6,5,1,3,8,4,7] => 0110010 => 0100110 => 1011001
[2,8,5,1,3,7,4,6] => 0110010 => 0100110 => 1011001
[2,6,8,1,3,7,4,5] => 0010010 => 0100100 => 1011011
[2,6,5,1,3,7,8,4] => 0110001 => 1000110 => 0111001
[2,5,4,1,8,3,6,7] => 0110100 => 0010110 => 1101001
[2,5,4,1,7,3,8,6] => 0110101 => 1010110 => 0101001
[2,8,4,1,6,3,5,7] => 0110100 => 0010110 => 1101001
[2,8,4,1,7,3,5,6] => 0110100 => 0010110 => 1101001
[2,7,4,1,6,3,8,5] => 0110101 => 1010110 => 0101001
[2,8,5,1,6,3,4,7] => 0110100 => 0010110 => 1101001
[2,8,5,1,7,3,4,6] => 0110100 => 0010110 => 1101001
[2,7,8,1,6,3,4,5] => 0010100 => 0010100 => 1101011
[2,7,5,1,6,3,8,4] => 0110101 => 1010110 => 0101001
[2,5,4,1,6,8,3,7] => 0110010 => 0100110 => 1011001
[2,5,4,1,8,7,3,6] => 0110110 => 0110110 => 1001001
[2,8,4,1,6,7,3,5] => 0110010 => 0100110 => 1011001
[2,8,5,1,6,7,3,4] => 0110010 => 0100110 => 1011001
[2,5,4,1,6,7,8,3] => 0110001 => 1000110 => 0111001
[7,3,4,1,2,5,8,6] => 1010001 => 1000101 => 0111010
[6,3,4,1,2,8,5,7] => 1010010 => 0100101 => 1011010
[8,3,4,1,2,7,5,6] => 1010010 => 0100101 => 1011010
[6,3,4,1,2,7,8,5] => 1010001 => 1000101 => 0111010
[7,3,5,1,2,4,8,6] => 1010001 => 1000101 => 0111010
[6,3,7,1,2,4,8,5] => 1010001 => 1000101 => 0111010
[6,3,5,1,2,8,4,7] => 1010010 => 0100101 => 1011010
[8,3,5,1,2,7,4,6] => 1010010 => 0100101 => 1011010
[6,3,8,1,2,7,4,5] => 1010010 => 0100101 => 1011010
[6,3,5,1,2,7,8,4] => 1010001 => 1000101 => 0111010
[7,5,4,1,2,3,8,6] => 1110001 => 1000111 => 0111000
[6,8,4,1,2,3,5,7] => 0110000 => 0000110 => 1111001
[6,7,4,1,2,3,8,5] => 0110001 => 1000110 => 0111001
[6,8,5,1,2,3,4,7] => 0110000 => 0000110 => 1111001
[6,7,5,1,2,3,8,4] => 0110001 => 1000110 => 0111001
[6,5,4,1,2,8,3,7] => 1110010 => 0100111 => 1011000
[8,5,4,1,2,7,3,6] => 1110010 => 0100111 => 1011000
[6,8,4,1,2,7,3,5] => 0110010 => 0100110 => 1011001
[6,8,5,1,2,7,3,4] => 0110010 => 0100110 => 1011001
[6,5,4,1,2,7,8,3] => 1110001 => 1000111 => 0111000
[5,3,4,1,8,2,6,7] => 1010100 => 0010101 => 1101010
[5,3,4,1,7,2,8,6] => 1010101 => 1010101 => 0101010
[8,3,4,1,6,2,5,7] => 1010100 => 0010101 => 1101010
[8,3,4,1,7,2,5,6] => 1010100 => 0010101 => 1101010
[7,3,4,1,6,2,8,5] => 1010101 => 1010101 => 0101010
[8,3,5,1,6,2,4,7] => 1010100 => 0010101 => 1101010
[8,3,5,1,7,2,4,6] => 1010100 => 0010101 => 1101010
[7,3,8,1,6,2,4,5] => 1010100 => 0010101 => 1101010
[7,3,5,1,6,2,8,4] => 1010101 => 1010101 => 0101010
[8,5,4,1,6,2,3,7] => 1110100 => 0010111 => 1101000
[8,5,4,1,7,2,3,6] => 1110100 => 0010111 => 1101000
[7,8,4,1,6,2,3,5] => 0110100 => 0010110 => 1101001
[7,8,5,1,6,2,3,4] => 0110100 => 0010110 => 1101001
[7,5,4,1,6,2,8,3] => 1110101 => 1010111 => 0101000
[5,3,4,1,6,8,2,7] => 1010010 => 0100101 => 1011010
[5,3,4,1,8,7,2,6] => 1010110 => 0110101 => 1001010
[8,3,4,1,6,7,2,5] => 1010010 => 0100101 => 1011010
[8,3,5,1,6,7,2,4] => 1010010 => 0100101 => 1011010
[8,5,4,1,6,7,2,3] => 1110010 => 0100111 => 1011000
[5,3,4,1,6,7,8,2] => 1010001 => 1000101 => 0111010
[2,3,4,8,1,7,5,6] => 0001010 => 0101000 => 1010111
[2,3,8,5,1,4,6,7] => 0011000 => 0001100 => 1110011
[2,3,7,5,1,4,8,6] => 0011001 => 1001100 => 0110011
[2,3,8,6,1,4,5,7] => 0011000 => 0001100 => 1110011
[2,3,7,6,1,4,8,5] => 0011001 => 1001100 => 0110011
[2,3,6,5,1,8,4,7] => 0011010 => 0101100 => 1010011
[2,3,8,5,1,7,4,6] => 0011010 => 0101100 => 1010011
[2,3,8,6,1,7,4,5] => 0011010 => 0101100 => 1010011
[2,3,6,5,1,7,8,4] => 0011001 => 1001100 => 0110011
[2,8,4,5,1,3,6,7] => 0101000 => 0001010 => 1110101
[2,7,4,5,1,3,8,6] => 0101001 => 1001010 => 0110101
[2,8,4,6,1,3,5,7] => 0101000 => 0001010 => 1110101
[2,7,4,8,1,3,5,6] => 0101000 => 0001010 => 1110101
[2,7,4,6,1,3,8,5] => 0101001 => 1001010 => 0110101
[2,8,6,5,1,3,4,7] => 0111000 => 0001110 => 1110001
[2,7,8,5,1,3,4,6] => 0011000 => 0001100 => 1110011
[2,7,8,6,1,3,4,5] => 0011000 => 0001100 => 1110011
[2,7,6,5,1,3,8,4] => 0111001 => 1001110 => 0110001
[2,6,4,5,1,8,3,7] => 0101010 => 0101010 => 1010101
[2,8,4,5,1,7,3,6] => 0101010 => 0101010 => 1010101
[2,8,4,6,1,7,3,5] => 0101010 => 0101010 => 1010101
[2,8,6,5,1,7,3,4] => 0111010 => 0101110 => 1010001
[2,6,4,5,1,7,8,3] => 0101001 => 1001010 => 0110101
[7,3,4,5,1,2,8,6] => 1001001 => 1001001 => 0110110
[7,3,4,6,1,2,8,5] => 1001001 => 1001001 => 0110110
[8,3,6,5,1,2,4,7] => 1011000 => 0001101 => 1110010
[7,3,8,5,1,2,4,6] => 1011000 => 0001101 => 1110010
[7,3,8,6,1,2,4,5] => 1011000 => 0001101 => 1110010
[7,3,6,5,1,2,8,4] => 1011001 => 1001101 => 0110010
[7,6,4,5,1,2,8,3] => 1101001 => 1001011 => 0110100
[6,3,4,5,1,8,2,7] => 1001010 => 0101001 => 1010110
[8,3,4,5,1,7,2,6] => 1001010 => 0101001 => 1010110
[8,3,4,6,1,7,2,5] => 1001010 => 0101001 => 1010110
[8,3,6,5,1,7,2,4] => 1011010 => 0101101 => 1010010
[8,6,4,5,1,7,2,3] => 1101010 => 0101011 => 1010100
[6,3,4,5,1,7,8,2] => 1001001 => 1001001 => 0110110
[2,3,4,8,6,1,5,7] => 0001100 => 0011000 => 1100111
[2,3,4,8,7,1,5,6] => 0001100 => 0011000 => 1100111
[2,3,4,7,6,1,8,5] => 0001101 => 1011000 => 0100111
[2,3,8,5,6,1,4,7] => 0010100 => 0010100 => 1101011
[2,3,8,5,7,1,4,6] => 0010100 => 0010100 => 1101011
[2,3,8,7,6,1,4,5] => 0011100 => 0011100 => 1100011
[2,3,7,5,6,1,8,4] => 0010101 => 1010100 => 0101011
[2,8,4,5,6,1,3,7] => 0100100 => 0010010 => 1101101
[2,8,4,5,7,1,3,6] => 0100100 => 0010010 => 1101101
[2,8,4,7,6,1,3,5] => 0101100 => 0011010 => 1100101
[2,8,7,5,6,1,3,4] => 0110100 => 0010110 => 1101001
[2,7,4,5,6,1,8,3] => 0100101 => 1010010 => 0101101
[8,3,4,5,7,1,2,6] => 1000100 => 0010001 => 1101110
[8,3,4,7,6,1,2,5] => 1001100 => 0011001 => 1100110
[8,3,7,5,6,1,2,4] => 1010100 => 0010101 => 1101010
[7,3,4,5,6,1,8,2] => 1000101 => 1010001 => 0101110
[2,3,4,5,8,7,1,6] => 0000110 => 0110000 => 1001111
[2,3,4,8,6,7,1,5] => 0001010 => 0101000 => 1010111
[2,3,8,5,6,7,1,4] => 0010010 => 0100100 => 1011011
[2,8,4,5,6,7,1,3] => 0100010 => 0100010 => 1011101
[9,1,2,3,4,5,6,7,8] => 10000000 => 00000001 => 11111110
[8,1,2,3,4,5,6,9,7] => 10000001 => 10000001 => 01111110
[7,1,2,3,4,5,9,6,8] => 10000010 => 01000001 => 10111110
[9,1,2,3,4,5,8,6,7] => 10000010 => 01000001 => 10111110
[7,1,2,3,4,5,8,9,6] => 10000001 => 10000001 => 01111110
[6,1,2,3,4,9,5,7,8] => 10000100 => 00100001 => 11011110
[6,1,2,3,4,8,5,9,7] => 10000101 => 10100001 => 01011110
[9,1,2,3,4,7,5,6,8] => 10000100 => 00100001 => 11011110
[9,1,2,3,4,8,5,6,7] => 10000100 => 00100001 => 11011110
[8,1,2,3,4,7,5,9,6] => 10000101 => 10100001 => 01011110
[6,1,2,3,4,7,9,5,8] => 10000010 => 01000001 => 10111110
[6,1,2,3,4,9,8,5,7] => 10000110 => 01100001 => 10011110
[9,1,2,3,4,7,8,5,6] => 10000010 => 01000001 => 10111110
[6,1,2,3,4,7,8,9,5] => 10000001 => 10000001 => 01111110
[5,1,2,3,8,4,6,9,7] => 10001001 => 10010001 => 01101110
[9,1,2,3,6,4,5,7,8] => 10001000 => 00010001 => 11101110
[8,1,2,3,9,4,5,6,7] => 10001000 => 00010001 => 11101110
[5,1,2,3,9,8,4,6,7] => 10001100 => 00110001 => 11001110
[9,1,2,3,6,8,4,5,7] => 10000100 => 00100001 => 11011110
[5,1,2,3,6,9,8,4,7] => 10000110 => 01100001 => 10011110
[5,1,2,3,6,7,8,9,4] => 10000001 => 10000001 => 01111110
[4,1,2,8,3,5,6,9,7] => 10010001 => 10001001 => 01110110
[4,1,2,9,3,5,8,6,7] => 10010010 => 01001001 => 10110110
[4,1,2,9,3,8,5,6,7] => 10010100 => 00101001 => 11010110
[9,1,2,5,3,4,6,7,8] => 10010000 => 00001001 => 11110110
[9,1,2,8,3,4,5,6,7] => 10010000 => 00001001 => 11110110
[7,1,2,8,3,4,5,9,6] => 10010001 => 10001001 => 01110110
[4,1,2,5,9,3,6,7,8] => 10001000 => 00010001 => 11101110
[4,1,2,8,9,3,5,6,7] => 10001000 => 00010001 => 11101110
[8,1,2,5,9,3,4,6,7] => 10001000 => 00010001 => 11101110
[8,1,2,9,6,3,4,5,7] => 10011000 => 00011001 => 11100110
[4,1,2,5,9,8,3,6,7] => 10001100 => 00110001 => 11001110
[9,1,2,8,6,7,3,4,5] => 10010100 => 00101001 => 11010110
[4,1,2,5,6,7,9,3,8] => 10000010 => 01000001 => 10111110
[4,1,2,9,6,7,8,3,5] => 10010010 => 01001001 => 10110110
[9,1,2,5,6,7,8,3,4] => 10000010 => 01000001 => 10111110
[4,1,2,5,6,7,8,9,3] => 10000001 => 10000001 => 01111110
[3,1,9,2,4,5,6,7,8] => 10100000 => 00000101 => 11111010
[3,1,8,2,4,5,6,9,7] => 10100001 => 10000101 => 01111010
[3,1,9,2,4,5,8,6,7] => 10100010 => 01000101 => 10111010
[3,1,5,2,7,4,9,6,8] => 10101010 => 01010101 => 10101010
[8,1,4,2,3,5,6,9,7] => 10100001 => 10000101 => 01111010
[9,1,4,2,3,5,8,6,7] => 10100010 => 01000101 => 10111010
[6,1,4,2,3,7,8,9,5] => 10100001 => 10000101 => 01111010
[9,1,8,2,3,4,5,6,7] => 10100000 => 00000101 => 11111010
[8,1,7,2,3,4,5,9,6] => 10100001 => 10000101 => 01111010
[3,1,4,9,2,5,6,7,8] => 10010000 => 00001001 => 11110110
[3,1,4,9,2,5,8,6,7] => 10010010 => 01001001 => 10110110
[3,1,9,8,2,4,5,6,7] => 10110000 => 00001101 => 11110010
[9,1,4,5,2,3,6,7,8] => 10010000 => 00001001 => 11110110
[7,1,4,5,2,3,8,9,6] => 10010001 => 10001001 => 01110110
[7,1,4,9,2,3,5,6,8] => 10010000 => 00001001 => 11110110
[9,1,4,8,2,3,5,6,7] => 10010000 => 00001001 => 11110110
[9,1,6,5,2,3,4,7,8] => 10110000 => 00001101 => 11110010
[7,1,9,6,2,3,4,5,8] => 10110000 => 00001101 => 11110010
[9,1,8,6,2,3,4,5,7] => 10110000 => 00001101 => 11110010
[7,1,8,9,2,3,4,5,6] => 10010000 => 00001001 => 11110110
[3,1,4,8,9,2,5,6,7] => 10001000 => 00010001 => 11101110
[3,1,8,9,7,2,4,5,6] => 10011000 => 00011001 => 11100110
[8,1,4,5,6,2,3,9,7] => 10001001 => 10010001 => 01101110
[8,1,4,9,7,2,3,5,6] => 10011000 => 00011001 => 11100110
[8,1,9,5,6,2,3,4,7] => 10101000 => 00010101 => 11101010
[8,1,9,7,6,2,3,4,5] => 10111000 => 00011101 => 11100010
[7,1,4,5,6,2,8,9,3] => 10001001 => 10010001 => 01101110
[3,1,4,5,6,9,2,7,8] => 10000100 => 00100001 => 11011110
[3,1,4,5,6,8,2,9,7] => 10000101 => 10100001 => 01011110
[3,1,4,9,8,7,2,5,6] => 10011100 => 00111001 => 11000110
[3,1,9,8,6,7,2,4,5] => 10110100 => 00101101 => 11010010
[9,1,4,5,6,7,2,3,8] => 10000100 => 00100001 => 11011110
[9,1,4,8,6,7,2,3,5] => 10010100 => 00101001 => 11010110
[9,1,8,5,6,7,2,3,4] => 10100100 => 00100101 => 11011010
[8,1,4,5,6,7,2,9,3] => 10000101 => 10100001 => 01011110
[3,1,4,5,6,7,9,2,8] => 10000010 => 01000001 => 10111110
[3,1,4,9,6,7,8,2,5] => 10010010 => 01001001 => 10110110
[3,1,9,5,6,7,8,2,4] => 10100010 => 01000101 => 10111010
[9,1,4,5,6,7,8,2,3] => 10000010 => 01000001 => 10111110
[3,1,4,5,6,7,8,9,2] => 10000001 => 10000001 => 01111110
[2,9,1,3,4,5,6,7,8] => 01000000 => 00000010 => 11111101
[2,8,1,3,4,5,6,9,7] => 01000001 => 10000010 => 01111101
[2,7,1,3,4,5,9,6,8] => 01000010 => 01000010 => 10111101
[2,9,1,3,4,5,8,6,7] => 01000010 => 01000010 => 10111101
[2,7,1,3,4,5,8,9,6] => 01000001 => 10000010 => 01111101
[2,6,1,3,4,9,5,7,8] => 01000100 => 00100010 => 11011101
[2,9,1,3,4,8,5,6,7] => 01000100 => 00100010 => 11011101
[2,8,1,3,9,4,5,6,7] => 01001000 => 00010010 => 11101101
[2,9,1,3,8,7,4,5,6] => 01001100 => 00110010 => 11001101
[2,9,1,3,6,7,8,4,5] => 01000010 => 01000010 => 10111101
[2,5,1,3,6,7,8,9,4] => 01000001 => 10000010 => 01111101
[2,4,1,6,3,8,5,9,7] => 01010101 => 10101010 => 01010101
[2,9,1,8,3,4,5,6,7] => 01010000 => 00001010 => 11110101
[2,7,1,6,3,4,8,9,5] => 01010001 => 10001010 => 01110101
[2,6,1,5,3,7,8,9,4] => 01010001 => 10001010 => 01110101
[2,4,1,5,9,3,6,7,8] => 01001000 => 00010010 => 11101101
[2,4,1,8,9,3,5,6,7] => 01001000 => 00010010 => 11101101
[2,8,1,9,7,3,4,5,6] => 01011000 => 00011010 => 11100101
[2,9,1,8,6,7,3,4,5] => 01010100 => 00101010 => 11010101
[2,4,1,5,6,7,9,3,8] => 01000010 => 01000010 => 10111101
[2,4,1,5,6,9,8,3,7] => 01000110 => 01100010 => 10011101
[2,9,1,5,6,7,8,3,4] => 01000010 => 01000010 => 10111101
[2,4,1,5,6,7,8,9,3] => 01000001 => 10000010 => 01111101
[9,3,1,2,4,5,6,7,8] => 11000000 => 00000011 => 11111100
[8,3,1,2,4,5,6,9,7] => 11000001 => 10000011 => 01111100
[9,3,1,2,4,5,8,6,7] => 11000010 => 01000011 => 10111100
[6,3,1,2,4,7,8,9,5] => 11000001 => 10000011 => 01111100
[9,3,1,2,6,7,8,4,5] => 11000010 => 01000011 => 10111100
[5,3,1,2,6,7,8,9,4] => 11000001 => 10000011 => 01111100
[9,4,1,2,3,5,6,7,8] => 11000000 => 00000011 => 11111100
[7,4,1,2,3,5,8,9,6] => 11000001 => 10000011 => 01111100
[6,4,1,2,3,7,8,9,5] => 11000001 => 10000011 => 01111100
[5,9,1,2,3,4,6,7,8] => 01000000 => 00000010 => 11111101
[5,8,1,2,3,4,6,9,7] => 01000001 => 10000010 => 01111101
[5,7,1,2,3,4,8,9,6] => 01000001 => 10000010 => 01111101
[9,6,1,2,3,4,5,7,8] => 11000000 => 00000011 => 11111100
[8,6,1,2,3,4,5,9,7] => 11000001 => 10000011 => 01111100
[9,7,1,2,3,4,5,6,8] => 11000000 => 00000011 => 11111100
[8,9,1,2,3,4,5,6,7] => 01000000 => 00000010 => 11111101
[8,7,1,2,3,4,5,9,6] => 11000001 => 10000011 => 01111100
[7,6,1,2,3,4,9,5,8] => 11000010 => 01000011 => 10111100
[9,6,1,2,3,4,8,5,7] => 11000010 => 01000011 => 10111100
[9,7,1,2,3,4,8,5,6] => 11000010 => 01000011 => 10111100
[7,6,1,2,3,4,8,9,5] => 11000001 => 10000011 => 01111100
[5,6,1,2,3,9,4,7,8] => 01000100 => 00100010 => 11011101
[5,9,1,2,3,8,4,6,7] => 01000100 => 00100010 => 11011101
[9,6,1,2,3,7,4,5,8] => 11000100 => 00100011 => 11011100
[9,8,1,2,3,7,4,5,6] => 11000100 => 00100011 => 11011100
[8,6,1,2,3,7,4,9,5] => 11000101 => 10100011 => 01011100
[5,6,1,2,3,7,9,4,8] => 01000010 => 01000010 => 10111101
[9,6,1,2,3,7,8,4,5] => 11000010 => 01000011 => 10111100
[5,6,1,2,3,7,8,9,4] => 01000001 => 10000010 => 01111101
[5,4,1,2,9,3,6,7,8] => 11001000 => 00010011 => 11101100
[8,4,1,2,9,3,5,6,7] => 11001000 => 00010011 => 11101100
[5,9,1,2,6,3,4,7,8] => 01001000 => 00010010 => 11101101
[9,7,1,2,6,3,8,4,5] => 11001010 => 01010011 => 10101100
[5,4,1,2,6,9,3,7,8] => 11000100 => 00100011 => 11011100
[9,8,1,2,6,7,3,4,5] => 11000100 => 00100011 => 11011100
[5,4,1,2,6,7,9,3,8] => 11000010 => 01000011 => 10111100
[5,4,1,2,6,7,8,9,3] => 11000001 => 10000011 => 01111100
[4,3,1,9,2,5,6,7,8] => 11010000 => 00001011 => 11110100
[9,3,1,8,2,4,5,6,7] => 11010000 => 00001011 => 11110100
[9,4,1,5,2,3,6,7,8] => 11010000 => 00001011 => 11110100
[9,4,1,8,2,3,5,6,7] => 11010000 => 00001011 => 11110100
[6,9,1,5,2,3,4,7,8] => 01010000 => 00001010 => 11110101
[9,7,1,6,2,3,4,5,8] => 11010000 => 00001011 => 11110100
[8,7,1,9,2,3,4,5,6] => 11010000 => 00001011 => 11110100
[8,7,1,6,2,3,4,9,5] => 11010001 => 10001011 => 01110100
[9,4,1,6,2,8,3,5,7] => 11010100 => 00101011 => 11010100
[9,8,1,6,2,7,3,4,5] => 11010100 => 00101011 => 11010100
[4,3,1,5,9,2,6,7,8] => 11001000 => 00010011 => 11101100
[9,8,1,7,6,2,3,4,5] => 11011000 => 00011011 => 11100100
[4,3,1,5,6,8,2,9,7] => 11000101 => 10100011 => 01011100
[4,3,1,5,9,8,2,6,7] => 11001100 => 00110011 => 11001100
[4,3,1,5,8,7,2,9,6] => 11001101 => 10110011 => 01001100
[8,9,1,5,6,7,2,3,4] => 01000100 => 00100010 => 11011101
[4,3,1,5,6,7,9,2,8] => 11000010 => 01000011 => 10111100
[4,3,1,5,6,9,8,2,7] => 11000110 => 01100011 => 10011100
[9,3,1,5,6,7,8,2,4] => 11000010 => 01000011 => 10111100
[9,4,1,5,6,7,8,2,3] => 11000010 => 01000011 => 10111100
[4,3,1,5,6,7,8,9,2] => 11000001 => 10000011 => 01111100
[2,3,9,1,4,5,6,7,8] => 00100000 => 00000100 => 11111011
[2,3,8,1,4,5,6,9,7] => 00100001 => 10000100 => 01111011
[2,3,9,1,4,5,8,6,7] => 00100010 => 01000100 => 10111011
[2,3,9,1,4,7,8,5,6] => 00100010 => 01000100 => 10111011
[2,3,9,1,8,7,4,5,6] => 00101100 => 00110100 => 11001011
[2,3,8,1,6,7,4,9,5] => 00100101 => 10100100 => 01011011
[2,3,5,1,6,7,9,4,8] => 00100010 => 01000100 => 10111011
[2,3,9,1,6,7,8,4,5] => 00100010 => 01000100 => 10111011
[2,3,5,1,6,7,8,9,4] => 00100001 => 10000100 => 01111011
[2,9,4,1,3,5,6,7,8] => 01100000 => 00000110 => 11111001
[2,6,4,1,3,7,8,9,5] => 01100001 => 10000110 => 01111001
[2,9,5,1,3,4,6,7,8] => 01100000 => 00000110 => 11111001
[2,6,9,1,3,4,5,7,8] => 00100000 => 00000100 => 11111011
[2,9,7,1,3,4,5,6,8] => 01100000 => 00000110 => 11111001
[2,9,8,1,3,4,5,6,7] => 01100000 => 00000110 => 11111001
[2,6,7,1,3,4,8,9,5] => 00100001 => 10000100 => 01111011
[2,9,4,1,6,3,5,7,8] => 01101000 => 00010110 => 11101001
[2,8,4,1,9,3,5,6,7] => 01101000 => 00010110 => 11101001
[2,9,4,1,6,3,8,5,7] => 01101010 => 01010110 => 10101001
[2,9,8,1,7,3,4,5,6] => 01101000 => 00010110 => 11101001
[2,9,5,1,6,7,8,3,4] => 01100010 => 01000110 => 10111001
[9,3,4,1,2,5,6,7,8] => 10100000 => 00000101 => 11111010
[6,3,4,1,2,7,8,9,5] => 10100001 => 10000101 => 01111010
[9,3,7,1,2,4,5,6,8] => 10100000 => 00000101 => 11111010
[9,3,8,1,2,4,5,6,7] => 10100000 => 00000101 => 11111010
[9,5,4,1,2,3,6,7,8] => 11100000 => 00000111 => 11111000
[8,5,4,1,2,3,6,9,7] => 11100001 => 10000111 => 01111000
[6,9,4,1,2,3,5,7,8] => 01100000 => 00000110 => 11111001
[6,8,4,1,2,3,5,9,7] => 01100001 => 10000110 => 01111001
[9,7,4,1,2,3,5,6,8] => 11100000 => 00000111 => 11111000
[9,8,4,1,2,3,5,6,7] => 11100000 => 00000111 => 11111000
[6,9,5,1,2,3,4,7,8] => 01100000 => 00000110 => 11111001
[6,8,5,1,2,3,4,9,7] => 01100001 => 10000110 => 01111001
[8,7,5,1,2,3,4,9,6] => 11100001 => 10000111 => 01111000
[6,7,9,1,2,3,4,5,8] => 00100000 => 00000100 => 11111011
[6,9,8,1,2,3,4,5,7] => 01100000 => 00000110 => 11111001
[9,7,8,1,2,3,4,5,6] => 10100000 => 00000101 => 11111010
[6,7,8,1,2,3,4,9,5] => 00100001 => 10000100 => 01111011
[6,5,4,1,2,8,3,9,7] => 11100101 => 10100111 => 01011000
[9,8,5,1,7,2,3,4,6] => 11101000 => 00010111 => 11101000
[7,8,9,1,6,2,3,4,5] => 00101000 => 00010100 => 11101011
[7,8,5,1,6,2,3,9,4] => 01101001 => 10010110 => 01101001
[5,3,4,1,6,8,2,9,7] => 10100101 => 10100101 => 01011010
[9,3,4,1,8,7,2,5,6] => 10101100 => 00110101 => 11001010
[8,3,4,1,6,7,2,9,5] => 10100101 => 10100101 => 01011010
[9,5,4,1,8,7,2,3,6] => 11101100 => 00110111 => 11001000
[8,5,4,1,6,7,2,9,3] => 11100101 => 10100111 => 01011000
[5,3,4,1,9,7,8,2,6] => 10101010 => 01010101 => 10101010
[9,3,5,1,6,7,8,2,4] => 10100010 => 01000101 => 10111010
[9,5,4,1,6,7,8,2,3] => 11100010 => 01000111 => 10111000
[5,3,4,1,6,7,8,9,2] => 10100001 => 10000101 => 01111010
[2,3,4,9,1,5,6,7,8] => 00010000 => 00001000 => 11110111
[2,3,4,9,1,5,8,6,7] => 00010010 => 01001000 => 10110111
[2,3,4,9,1,7,8,5,6] => 00010010 => 01001000 => 10110111
[2,3,4,6,1,7,8,9,5] => 00010001 => 10001000 => 01110111
[2,3,9,5,1,4,6,7,8] => 00110000 => 00001100 => 11110011
[2,3,9,6,1,4,5,7,8] => 00110000 => 00001100 => 11110011
[2,3,7,9,1,4,5,6,8] => 00010000 => 00001000 => 11110111
[2,3,9,8,1,4,5,6,7] => 00110000 => 00001100 => 11110011
[2,3,9,5,1,7,4,6,8] => 00110100 => 00101100 => 11010011
[2,3,9,6,1,7,8,4,5] => 00110010 => 01001100 => 10110011
[2,9,4,5,1,3,6,7,8] => 01010000 => 00001010 => 11110101
[2,7,4,5,1,3,8,9,6] => 01010001 => 10001010 => 01110101
[2,9,8,6,1,3,4,5,7] => 01110000 => 00001110 => 11110001
[2,7,8,9,1,3,4,5,6] => 00010000 => 00001000 => 11110111
[2,8,9,6,1,7,3,4,5] => 00110100 => 00101100 => 11010011
[2,9,6,5,1,7,8,3,4] => 01110010 => 01001110 => 10110001
[7,3,4,5,1,2,8,9,6] => 10010001 => 10001001 => 01110110
[9,3,4,8,1,2,5,6,7] => 10010000 => 00001001 => 11110110
[7,3,4,8,1,2,5,9,6] => 10010001 => 10001001 => 01110110
[7,3,8,9,1,2,4,5,6] => 10010000 => 00001001 => 11110110
[9,8,4,5,1,2,3,6,7] => 11010000 => 00001011 => 11110100
[7,8,4,6,1,2,3,9,5] => 01010001 => 10001010 => 01110101
[9,8,6,5,1,2,3,4,7] => 11110000 => 00001111 => 11110000
[7,8,9,6,1,2,3,4,5] => 00110000 => 00001100 => 11110011
[7,8,6,5,1,2,3,9,4] => 01110001 => 10001110 => 01110001
[8,3,9,6,1,7,2,4,5] => 10110100 => 00101101 => 11010010
[8,3,6,5,1,7,2,9,4] => 10110101 => 10101101 => 01010010
[8,6,4,5,1,7,2,9,3] => 11010101 => 10101011 => 01010100
[6,3,4,5,1,7,9,2,8] => 10010010 => 01001001 => 10110110
[6,3,4,5,1,9,8,2,7] => 10010110 => 01101001 => 10010110
[9,3,4,6,1,7,8,2,5] => 10010010 => 01001001 => 10110110
[6,3,4,5,1,7,8,9,2] => 10010001 => 10001001 => 01110110
[2,3,4,5,9,1,6,7,8] => 00001000 => 00010000 => 11101111
[2,3,4,5,8,1,6,9,7] => 00001001 => 10010000 => 01101111
[2,3,4,5,9,1,8,6,7] => 00001010 => 01010000 => 10101111
[2,3,4,5,7,1,8,9,6] => 00001001 => 10010000 => 01101111
[2,3,4,9,6,1,5,7,8] => 00011000 => 00011000 => 11100111
[2,3,4,9,7,1,5,6,8] => 00011000 => 00011000 => 11100111
[2,3,4,9,6,1,8,5,7] => 00011010 => 01011000 => 10100111
[2,3,4,9,7,1,8,5,6] => 00011010 => 01011000 => 10100111
[2,3,9,5,6,1,4,7,8] => 00101000 => 00010100 => 11101011
[2,3,8,5,6,1,4,9,7] => 00101001 => 10010100 => 01101011
[2,3,9,5,6,1,8,4,7] => 00101010 => 01010100 => 10101011
[2,8,4,5,6,1,3,9,7] => 01001001 => 10010010 => 01101101
[2,8,9,5,7,1,3,4,6] => 00101000 => 00010100 => 11101011
[2,8,9,7,6,1,3,4,5] => 00111000 => 00011100 => 11100011
[2,9,7,5,6,1,8,3,4] => 01101010 => 01010110 => 10101001
[8,3,4,5,6,1,2,9,7] => 10001001 => 10010001 => 01101110
[8,3,4,7,6,1,2,9,5] => 10011001 => 10011001 => 01100110
[8,3,9,7,6,1,2,4,5] => 10111000 => 00011101 => 11100010
[8,3,7,5,6,1,2,9,4] => 10101001 => 10010101 => 01101010
[9,7,4,5,6,1,2,3,8] => 11001000 => 00010011 => 11101100
[8,9,4,5,6,1,2,3,7] => 01001000 => 00010010 => 11101101
[8,9,7,5,6,1,2,3,4] => 01101000 => 00010110 => 11101001
[8,7,4,5,6,1,2,9,3] => 11001001 => 10010011 => 01101100
[7,3,4,5,6,1,9,2,8] => 10001010 => 01010001 => 10101110
[9,3,4,5,6,1,8,2,7] => 10001010 => 01010001 => 10101110
[9,3,7,5,6,1,8,2,4] => 10101010 => 01010101 => 10101010
[7,3,4,5,6,1,8,9,2] => 10001001 => 10010001 => 01101110
[2,3,4,5,6,9,1,7,8] => 00000100 => 00100000 => 11011111
[2,3,4,5,6,8,1,9,7] => 00000101 => 10100000 => 01011111
[2,3,4,5,9,7,1,6,8] => 00001100 => 00110000 => 11001111
[2,3,4,5,9,8,1,6,7] => 00001100 => 00110000 => 11001111
[2,3,4,9,6,7,1,5,8] => 00010100 => 00101000 => 11010111
[2,3,9,5,6,7,1,4,8] => 00100100 => 00100100 => 11011011
[2,3,9,5,6,8,1,4,7] => 00100100 => 00100100 => 11011011
[2,9,4,5,6,7,1,3,8] => 01000100 => 00100010 => 11011101
[2,9,4,5,6,8,1,3,7] => 01000100 => 00100010 => 11011101
[2,9,4,5,8,7,1,3,6] => 01001100 => 00110010 => 11001101
[2,9,4,8,6,7,1,3,5] => 01010100 => 00101010 => 11010101
[2,9,8,5,6,7,1,3,4] => 01100100 => 00100110 => 11011001
[2,8,4,5,6,7,1,9,3] => 01000101 => 10100010 => 01011101
[9,3,4,5,6,7,1,2,8] => 10000100 => 00100001 => 11011110
[9,3,4,5,6,8,1,2,7] => 10000100 => 00100001 => 11011110
[9,8,4,5,6,7,1,2,3] => 11000100 => 00100011 => 11011100
[8,3,4,5,6,7,1,9,2] => 10000101 => 10100001 => 01011110
[2,3,4,5,6,7,9,1,8] => 00000010 => 01000000 => 10111111
[2,3,4,5,6,9,8,1,7] => 00000110 => 01100000 => 10011111
[2,3,4,5,9,7,8,1,6] => 00001010 => 01010000 => 10101111
[2,3,4,9,6,7,8,1,5] => 00010010 => 01001000 => 10110111
[2,3,9,5,6,7,8,1,4] => 00100010 => 01000100 => 10111011
[2,9,4,5,6,7,8,1,3] => 01000010 => 01000010 => 10111101
[9,3,4,5,6,7,8,1,2] => 10000010 => 01000001 => 10111110
[2,3,4,5,6,7,8,9,1] => 00000001 => 10000000 => 01111111
[3,5,2,6,1,4,8,7] => 0101001 => 1001010 => 0110101
[3,5,2,6,4,1,8,7] => 0101101 => 1011010 => 0100101
[3,5,2,7,4,8,1,6] => 0101010 => 0101010 => 1010101
[3,5,2,7,4,8,6,1] => 0101011 => 1101010 => 0010101
[4,5,7,2,3,8,6,1] => 0010011 => 1100100 => 0011011
[4,5,7,2,3,8,1,6] => 0010010 => 0100100 => 1011011
[4,5,6,2,3,1,8,7] => 0010101 => 1010100 => 0101011
[4,5,6,2,1,3,8,7] => 0011001 => 1001100 => 0110011
[3,5,1,6,4,2,8,7] => 0101101 => 1011010 => 0100101
[4,5,6,1,3,2,8,7] => 0010101 => 1010100 => 0101011
[4,5,6,3,1,2,8,7] => 0011001 => 1001100 => 0110011
[4,5,7,3,2,8,1,6] => 0011010 => 0101100 => 1010011
[4,5,7,3,2,8,6,1] => 0011011 => 1101100 => 0010011
[4,6,7,3,8,2,5,1] => 0010101 => 1010100 => 0101011
[4,6,7,3,8,2,1,5] => 0010110 => 0110100 => 1001011
[4,6,7,3,8,1,2,5] => 0010100 => 0010100 => 1101011
[4,5,7,3,1,8,2,6] => 0011010 => 0101100 => 1010011
[4,5,7,1,3,8,2,6] => 0010010 => 0100100 => 1011011
[3,5,1,7,4,8,2,6] => 0101010 => 0101010 => 1010101
[2,1,5,7,4,8,3,6] => 1001010 => 0101001 => 1010110
[2,1,5,7,4,8,6,3] => 1001011 => 1101001 => 0010110
[3,5,1,7,4,8,6,2] => 0101011 => 1101010 => 0010101
[4,5,7,1,3,8,6,2] => 0010011 => 1100100 => 0011011
[4,5,7,3,1,8,6,2] => 0011011 => 1101100 => 0010011
[4,6,7,3,8,1,5,2] => 0010101 => 1010100 => 0101011
[4,6,7,3,8,5,1,2] => 0010110 => 0110100 => 1001011
[4,6,7,3,8,5,2,1] => 0010111 => 1110100 => 0001011
[5,6,7,8,3,1,4,2] => 0001101 => 1011000 => 0100111
[5,6,7,8,1,3,4,2] => 0001001 => 1001000 => 0110111
[4,6,7,1,8,3,5,2] => 0010101 => 1010100 => 0101011
[3,6,1,7,8,4,5,2] => 0100101 => 1010010 => 0101101
[2,1,6,7,8,4,5,3] => 1000101 => 1010001 => 0101110
[2,1,6,7,8,4,3,5] => 1000110 => 0110001 => 1001110
[3,6,1,7,8,4,2,5] => 0100110 => 0110010 => 1001101
[4,6,7,1,8,3,2,5] => 0010110 => 0110100 => 1001011
[5,6,7,8,1,3,2,4] => 0001010 => 0101000 => 1010111
[4,5,7,2,1,8,3,6] => 0011010 => 0101100 => 1010011
[4,6,7,2,8,1,3,5] => 0010100 => 0010100 => 1101011
[4,6,7,2,8,3,1,5] => 0010110 => 0110100 => 1001011
[4,6,7,2,8,3,5,1] => 0010101 => 1010100 => 0101011
[3,6,2,7,8,4,5,1] => 0100101 => 1010010 => 0101101
[3,6,2,7,8,4,1,5] => 0100110 => 0110010 => 1001101
[3,6,2,7,8,1,4,5] => 0100100 => 0010010 => 1101101
[3,5,2,7,1,8,4,6] => 0101010 => 0101010 => 1010101
[3,4,2,1,7,8,5,6] => 0110010 => 0100110 => 1011001
[3,4,1,2,7,8,6,5] => 0100011 => 1100010 => 0011101
[3,5,2,7,1,8,6,4] => 0101011 => 1101010 => 0010101
[3,6,2,7,8,1,5,4] => 0100101 => 1010010 => 0101101
[3,6,2,7,8,5,1,4] => 0100110 => 0110010 => 1001101
[3,6,2,7,8,5,4,1] => 0100111 => 1110010 => 0001101
[4,6,7,2,8,5,3,1] => 0010111 => 1110100 => 0001011
[4,6,7,2,8,5,1,3] => 0010110 => 0110100 => 1001011
[4,6,7,2,8,1,5,3] => 0010101 => 1010100 => 0101011
[4,5,7,2,1,8,6,3] => 0011011 => 1101100 => 0010011
[4,5,7,1,2,8,6,3] => 0010011 => 1100100 => 0011011
[3,5,1,7,2,8,6,4] => 0101011 => 1101010 => 0010101
[2,1,5,7,3,8,6,4] => 1001011 => 1101001 => 0010110
[2,1,6,7,8,3,5,4] => 1000101 => 1010001 => 0101110
[3,6,1,7,8,2,5,4] => 0100101 => 1010010 => 0101101
[4,6,7,1,8,2,5,3] => 0010101 => 1010100 => 0101011
[5,6,7,8,1,2,4,3] => 0001001 => 1001000 => 0110111
[5,6,7,8,2,1,4,3] => 0001101 => 1011000 => 0100111
[5,6,7,8,2,4,1,3] => 0001010 => 0101000 => 1010111
[5,6,7,8,2,4,3,1] => 0001011 => 1101000 => 0010111
[5,6,7,8,1,4,2,3] => 0001010 => 0101000 => 1010111
[4,6,7,1,8,5,2,3] => 0010110 => 0110100 => 1001011
[3,6,1,7,8,5,2,4] => 0100110 => 0110010 => 1001101
[2,1,6,7,8,5,3,4] => 1000110 => 0110001 => 1001110
[3,6,1,7,8,5,4,2] => 0100111 => 1110010 => 0001101
[4,6,7,1,8,5,3,2] => 0010111 => 1110100 => 0001011
[5,6,7,8,1,4,3,2] => 0001011 => 1101000 => 0010111
[5,6,7,8,4,1,3,2] => 0001101 => 1011000 => 0100111
[3,4,2,1,6,5,8,7,10,9] => 011010101 => 101010110 => 010101001
[3,5,2,6,4,1,8,7,10,9] => 010110101 => 101011010 => 010100101
[3,5,2,7,4,8,6,1,10,9] => 010101101 => 101101010 => 010010101
[3,5,2,7,4,9,6,10,8,1] => 010101011 => 110101010 => 001010101
[2,1,5,6,4,3,8,7,10,9] => 100110101 => 101011001 => 010100110
[4,5,6,3,2,1,8,7,10,9] => 001110101 => 101011100 => 010100011
[4,5,7,3,2,8,6,1,10,9] => 001101101 => 101101100 => 010010011
[4,5,7,3,2,9,6,10,8,1] => 001101011 => 110101100 => 001010011
[2,1,5,7,4,8,6,3,10,9] => 100101101 => 101101001 => 010010110
[4,6,7,3,8,5,2,1,10,9] => 001011101 => 101110100 => 010001011
[4,6,7,3,9,5,2,10,8,1] => 001011011 => 110110100 => 001001011
[2,1,5,7,4,9,6,10,8,3] => 100101011 => 110101001 => 001010110
[4,6,8,3,9,5,10,7,2,1] => 001010111 => 111010100 => 000101011
[2,1,4,3,7,8,6,5,10,9] => 101001101 => 101100101 => 010011010
[3,4,2,1,7,8,6,5,10,9] => 011001101 => 101100110 => 010011001
[3,6,2,7,8,5,4,1,10,9] => 010011101 => 101110010 => 010001101
[3,6,2,7,9,5,4,10,8,1] => 010011011 => 110110010 => 001001101
[2,1,6,7,8,5,4,3,10,9] => 100011101 => 101110001 => 010001110
[5,6,7,8,4,3,2,1,10,9] => 000111101 => 101111000 => 010000111
[5,6,7,9,4,3,2,10,8,1] => 000111011 => 110111000 => 001000111
[2,1,6,7,9,5,4,10,8,3] => 100011011 => 110110001 => 001001110
[5,6,8,9,4,3,10,7,2,1] => 000110111 => 111011000 => 000100111
[2,1,4,3,7,9,6,10,8,5] => 101001011 => 110100101 => 001011010
[3,4,2,1,7,9,6,10,8,5] => 011001011 => 110100110 => 001011001
[3,6,2,8,9,5,10,7,4,1] => 010010111 => 111010010 => 000101101
[2,1,6,8,9,5,10,7,4,3] => 100010111 => 111010001 => 000101110
[5,7,8,9,4,10,6,3,2,1] => 000101111 => 111101000 => 000010111
[6,7,8,9,10,1,4,5,3,2] => 000010011 => 110010000 => 001101111
[6,7,8,9,10,1,4,5,2,3] => 000010010 => 010010000 => 101101111
[6,7,8,9,10,4,3,2,1,5] => 000011110 => 011110000 => 100001111
[6,7,8,9,10,1,3,4,5,2] => 000010001 => 100010000 => 011101111
[6,7,8,9,10,3,4,1,2,5] => 000010100 => 001010000 => 110101111
[6,7,8,9,10,3,4,2,1,5] => 000010110 => 011010000 => 100101111
[6,7,8,9,10,2,3,4,1,5] => 000010010 => 010010000 => 101101111
[2,1,4,3,6,5,9,10,8,7] => 101010011 => 110010101 => 001101010
[3,4,2,1,6,5,9,10,8,7] => 011010011 => 110010110 => 001101001
[3,5,2,6,4,1,9,10,8,7] => 010110011 => 110011010 => 001100101
[3,5,2,8,4,9,10,7,6,1] => 010100111 => 111001010 => 000110101
[2,1,5,6,4,3,9,10,8,7] => 100110011 => 110011001 => 001100110
[4,5,6,3,2,1,9,10,8,7] => 001110011 => 110011100 => 001100011
[4,5,8,3,2,9,10,7,6,1] => 001100111 => 111001100 => 000110011
[2,1,5,8,4,9,10,7,6,3] => 100100111 => 111001001 => 000110110
[4,7,8,3,9,10,6,5,2,1] => 001001111 => 111100100 => 000011011
[2,1,4,3,8,9,10,7,6,5] => 101000111 => 111000101 => 000111010
[3,4,2,1,8,9,10,7,6,5] => 011000111 => 111000110 => 000111001
[3,7,2,8,9,10,6,5,4,1] => 010001111 => 111100010 => 000011101
[2,1,7,8,9,10,6,5,4,3] => 100001111 => 111100001 => 000011110
[6,7,8,9,10,1,5,4,3,2] => 000010111 => 111010000 => 000101111
[6,7,8,9,10,5,4,3,2,1] => 000011111 => 111110000 => 000001111
[6,5,8,7,3,4,1,2] => 1011010 => 0101101 => 1010010
[3,6,7,4,5,8,1,2] => 0010010 => 0100100 => 1011011
[2,6,7,4,5,1,8,3] => 0010101 => 1010100 => 0101011
[1,6,7,4,5,2,3,8] => 0010100 => 0010100 => 1101011
[1,5,4,7,6,2,3,8] => 0101100 => 0011010 => 1100101
[2,5,4,7,6,1,8,3] => 0101101 => 1011010 => 0100101
[3,5,4,7,6,8,1,2] => 0101010 => 0101010 => 1010101
[4,5,3,7,8,6,1,2] => 0100110 => 0110010 => 1001101
[5,4,3,8,7,6,1,2] => 1101110 => 0111011 => 1000100
[6,4,8,3,7,5,1,2] => 1010110 => 0110101 => 1001010
[6,3,8,4,5,7,1,2] => 1010010 => 0100101 => 1011010
[5,3,4,8,6,7,1,2] => 1001010 => 0101001 => 1010110
[4,3,5,6,8,7,1,2] => 1000110 => 0110001 => 1001110
[3,2,5,6,1,8,7,4] => 1001011 => 1101001 => 0010110
[4,2,5,6,8,1,7,3] => 1000101 => 1010001 => 0101110
[5,2,4,8,6,1,7,3] => 1001101 => 1011001 => 0100110
[6,2,8,4,5,1,7,3] => 1010101 => 1010101 => 0101010
[7,8,2,4,5,1,6,3] => 0100101 => 1010010 => 0101101
[7,8,1,4,5,2,3,6] => 0100100 => 0010010 => 1101101
[6,1,8,4,5,2,3,7] => 1010100 => 0010101 => 1101010
[5,1,4,8,6,2,3,7] => 1001100 => 0011001 => 1100110
[4,1,3,2,8,6,5,7] => 1010110 => 0110101 => 1001010
[5,1,3,8,2,6,4,7] => 1001010 => 0101001 => 1010110
[6,1,8,3,2,5,4,7] => 1011010 => 0101101 => 1010010
[7,8,1,3,2,5,4,6] => 0101010 => 0101010 => 1010101
[7,8,2,3,1,5,6,4] => 0101001 => 1001010 => 0110101
[6,2,8,3,1,5,7,4] => 1011001 => 1001101 => 0110010
[5,2,3,8,1,6,7,4] => 1001001 => 1001001 => 0110110
[6,3,8,2,1,7,5,4] => 1011011 => 1101101 => 0010010
[7,8,3,2,1,6,5,4] => 0111011 => 1101110 => 0010001
[7,8,4,2,6,1,5,3] => 0110101 => 1010110 => 0101001
[5,4,2,8,7,1,6,3] => 1101101 => 1011011 => 0100100
[4,5,2,7,8,1,6,3] => 0100101 => 1010010 => 0101101
[2,5,3,7,1,6,8,4] => 0101001 => 1001010 => 0110101
[1,5,3,7,2,6,4,8] => 0101010 => 0101010 => 1010101
[1,6,7,3,2,5,4,8] => 0011010 => 0101100 => 1010011
[2,6,7,3,1,5,8,4] => 0011001 => 1001100 => 0110011
[3,6,7,2,1,8,5,4] => 0011011 => 1101100 => 0010011
[7,8,5,6,2,1,4,3] => 0101101 => 1011010 => 0100101
[6,5,8,7,1,2,3,4] => 1011000 => 0001101 => 1110010
[5,4,1,8,7,2,3,6] => 1101100 => 0011011 => 1100100
[6,4,8,1,7,2,3,5] => 1010100 => 0010101 => 1101010
[7,8,3,1,2,6,4,5] => 0110010 => 0100110 => 1011001
[5,3,1,8,2,7,4,6] => 1101010 => 0101011 => 1010100
[4,3,1,2,8,7,5,6] => 1100110 => 0110011 => 1001100
[4,2,1,3,8,5,7,6] => 1100101 => 1010011 => 0101100
[5,2,1,8,3,4,7,6] => 1101001 => 1001011 => 0110100
[6,2,8,1,3,4,7,5] => 1010001 => 1000101 => 0111010
[7,8,2,1,3,4,6,5] => 0110001 => 1000110 => 0111001
[4,3,1,2,6,5,8,7] => 1100101 => 1010011 => 0101100
[5,3,1,6,2,4,8,7] => 1101001 => 1001011 => 0110100
[6,3,1,5,2,4,8,7] => 1101001 => 1001011 => 0110100
[7,3,1,5,2,8,4,6] => 1101010 => 0101011 => 1010100
[8,4,5,1,2,7,3,6] => 1010010 => 0100101 => 1011010
[7,4,5,1,2,8,3,6] => 1010010 => 0100101 => 1011010
[6,4,5,1,2,3,8,7] => 1010001 => 1000101 => 0111010
[5,4,6,1,2,3,8,7] => 1010001 => 1000101 => 0111010
[2,1,6,5,3,4,8,7] => 1011001 => 1001101 => 0110010
[3,6,1,5,2,4,8,7] => 0101001 => 1001010 => 0110101
[4,6,5,1,2,3,8,7] => 0110001 => 1000110 => 0111001
[5,6,4,1,2,3,8,7] => 0110001 => 1000110 => 0111001
[6,5,4,1,2,3,8,7] => 1110001 => 1000111 => 0111000
[7,5,4,1,2,8,3,6] => 1110010 => 0100111 => 1011000
[8,6,4,1,7,2,3,5] => 1110100 => 0010111 => 1101000
[7,6,4,1,8,2,3,5] => 1110100 => 0010111 => 1101000
[6,7,4,1,8,2,3,5] => 0110100 => 0010110 => 1101001
[5,7,4,1,2,8,3,6] => 0110010 => 0100110 => 1011001
[4,7,5,1,2,8,3,6] => 0110010 => 0100110 => 1011001
[3,7,1,5,2,8,4,6] => 0101010 => 0101010 => 1010101
[2,1,7,5,3,8,4,6] => 1011010 => 0101101 => 1010010
[2,1,8,5,3,7,4,6] => 1011010 => 0101101 => 1010010
[3,8,1,5,2,7,4,6] => 0101010 => 0101010 => 1010101
[4,8,5,1,2,7,3,6] => 0110010 => 0100110 => 1011001
[5,8,4,1,2,7,3,6] => 0110010 => 0100110 => 1011001
[6,8,4,1,7,2,3,5] => 0110100 => 0010110 => 1101001
[8,7,4,1,6,2,3,5] => 1110100 => 0010111 => 1101000
[5,8,6,7,1,2,3,4] => 0101000 => 0001010 => 1110101
[4,8,6,1,7,2,3,5] => 0110100 => 0010110 => 1101001
[3,8,1,6,7,2,4,5] => 0100100 => 0010010 => 1101101
[2,1,8,6,7,3,4,5] => 1010100 => 0010101 => 1101010
[2,1,7,6,8,3,4,5] => 1010100 => 0010101 => 1101010
[3,7,1,6,8,2,4,5] => 0100100 => 0010010 => 1101101
[4,7,6,1,8,2,3,5] => 0110100 => 0010110 => 1101001
[5,7,6,8,1,2,3,4] => 0101000 => 0001010 => 1110101
[5,4,7,1,2,8,3,6] => 1010010 => 0100101 => 1011010
[6,4,7,1,8,2,3,5] => 1010100 => 0010101 => 1101010
[7,4,6,1,8,2,3,5] => 1010100 => 0010101 => 1101010
[8,4,6,1,7,2,3,5] => 1010100 => 0010101 => 1101010
[8,3,1,6,7,2,4,5] => 1100100 => 0010011 => 1101100
[7,3,1,6,8,2,4,5] => 1100100 => 0010011 => 1101100
[6,3,1,7,8,2,4,5] => 1100100 => 0010011 => 1101100
[5,3,1,7,2,8,4,6] => 1101010 => 0101011 => 1010100
[4,3,1,2,7,8,5,6] => 1100010 => 0100011 => 1011100
[2,1,4,3,8,7,5,6] => 1010110 => 0110101 => 1001010
[3,4,1,2,8,7,5,6] => 0100110 => 0110010 => 1001101
[6,3,1,8,7,2,4,5] => 1101100 => 0011011 => 1100100
[7,3,1,8,6,2,4,5] => 1101100 => 0011011 => 1100100
[8,4,7,1,6,2,3,5] => 1010100 => 0010101 => 1101010
[7,4,8,1,6,2,3,5] => 1010100 => 0010101 => 1101010
[5,4,8,1,2,7,3,6] => 1010010 => 0100101 => 1011010
[4,5,8,1,2,7,3,6] => 0010010 => 0100100 => 1011011
[3,5,1,8,2,7,4,6] => 0101010 => 0101010 => 1010101
[2,1,5,8,3,7,4,6] => 1001010 => 0101001 => 1010110
[2,1,6,8,7,3,4,5] => 1001100 => 0011001 => 1100110
[3,6,1,8,7,2,4,5] => 0101100 => 0011010 => 1100101
[4,6,8,1,7,2,3,5] => 0010100 => 0010100 => 1101011
[5,6,8,7,1,2,3,4] => 0011000 => 0001100 => 1110011
[7,5,8,6,1,2,3,4] => 1011000 => 0001101 => 1110010
[8,5,7,6,1,2,3,4] => 1011000 => 0001101 => 1110010
[5,7,8,6,1,2,3,4] => 0011000 => 0001100 => 1110011
[4,7,8,1,6,2,3,5] => 0010100 => 0010100 => 1101011
[3,7,1,8,6,2,4,5] => 0101100 => 0011010 => 1100101
[2,1,7,8,6,3,4,5] => 1001100 => 0011001 => 1100110
[2,1,8,7,6,3,4,5] => 1011100 => 0011101 => 1100010
[3,8,1,7,6,2,4,5] => 0101100 => 0011010 => 1100101
[4,8,7,1,6,2,3,5] => 0110100 => 0010110 => 1101001
[5,8,7,6,1,2,3,4] => 0111000 => 0001110 => 1110001
[6,8,7,5,1,2,3,4] => 0111000 => 0001110 => 1110001
[6,4,7,3,8,5,1,2] => 1010110 => 0110101 => 1001010
[6,4,7,3,5,8,1,2] => 1010010 => 0100101 => 1011010
[6,4,7,2,5,1,8,3] => 1010101 => 1010101 => 0101010
[5,4,2,7,6,1,3,8] => 1101100 => 0011011 => 1100100
[5,4,2,7,6,1,8,3] => 1101101 => 1011011 => 0100100
[5,4,3,7,6,8,1,2] => 1101010 => 0101011 => 1010100
[5,4,3,7,8,6,1,2] => 1100110 => 0110011 => 1001100
[6,4,8,3,5,7,1,2] => 1010010 => 0100101 => 1011010
[5,4,3,8,6,7,1,2] => 1101010 => 0101011 => 1010100
[5,4,3,6,8,7,1,2] => 1100110 => 0110011 => 1001100
[5,4,2,6,7,1,8,3] => 1100101 => 1010011 => 0101100
[5,4,2,6,7,1,3,8] => 1100100 => 0010011 => 1101100
[5,3,2,6,1,7,4,8] => 1101010 => 0101011 => 1010100
[5,3,2,6,1,7,8,4] => 1101001 => 1001011 => 0110100
[5,3,2,6,1,8,7,4] => 1101011 => 1101011 => 0010100
[5,4,2,6,8,1,7,3] => 1100101 => 1010011 => 0101100
[5,4,2,8,6,1,7,3] => 1101101 => 1011011 => 0100100
[6,4,8,2,5,1,7,3] => 1010101 => 1010101 => 0101010
[7,8,4,2,5,1,6,3] => 0110101 => 1010110 => 0101001
[7,8,4,2,5,1,3,6] => 0110100 => 0010110 => 1101001
[5,4,2,8,6,1,3,7] => 1101100 => 0011011 => 1100100
[5,3,2,6,1,8,4,7] => 1101010 => 0101011 => 1010100
[4,3,2,1,6,8,5,7] => 1110010 => 0100111 => 1011000
[4,3,2,1,8,6,5,7] => 1110110 => 0110111 => 1001000
[5,3,2,8,1,6,4,7] => 1101010 => 0101011 => 1010100
[6,3,8,2,1,5,4,7] => 1011010 => 0101101 => 1010010
[7,8,3,2,1,5,4,6] => 0111010 => 0101110 => 1010001
[7,8,3,2,1,5,6,4] => 0111001 => 1001110 => 0110001
[6,3,8,2,1,5,7,4] => 1011001 => 1001101 => 0110010
[5,3,2,8,1,6,7,4] => 1101001 => 1001011 => 0110100
[5,4,2,7,8,1,6,3] => 1100101 => 1010011 => 0101100
[5,3,2,7,1,8,6,4] => 1101011 => 1101011 => 0010100
[5,3,2,7,1,6,8,4] => 1101001 => 1001011 => 0110100
[5,3,2,7,1,6,4,8] => 1101010 => 0101011 => 1010100
[6,3,7,2,1,5,4,8] => 1011010 => 0101101 => 1010010
[6,3,7,2,1,5,8,4] => 1011001 => 1001101 => 0110010
[6,3,7,2,1,8,5,4] => 1011011 => 1101101 => 0010010
[6,4,7,2,8,1,5,3] => 1010101 => 1010101 => 0101010
[6,5,7,8,2,1,4,3] => 1001101 => 1011001 => 0100110
[6,5,8,7,2,1,3,4] => 1011100 => 0011101 => 1100010
[6,3,7,2,1,8,4,5] => 1011010 => 0101101 => 1010010
[6,3,7,2,1,4,8,5] => 1011001 => 1001101 => 0110010
[6,3,7,2,1,4,5,8] => 1011000 => 0001101 => 1110010
[5,3,2,7,1,4,8,6] => 1101001 => 1001011 => 0110100
[5,4,2,8,7,1,3,6] => 1101100 => 0011011 => 1100100
[7,8,4,2,6,1,3,5] => 0110100 => 0010110 => 1101001
[7,8,3,2,1,6,4,5] => 0111010 => 0101110 => 1010001
[6,3,8,2,1,7,4,5] => 1011010 => 0101101 => 1010010
[5,3,2,8,1,7,4,6] => 1101010 => 0101011 => 1010100
[4,3,2,1,8,7,5,6] => 1110110 => 0110111 => 1001000
[4,3,2,1,7,5,8,6] => 1110101 => 1010111 => 0101000
[4,3,2,1,7,5,6,8] => 1110100 => 0010111 => 1101000
[4,3,2,1,8,5,7,6] => 1110101 => 1010111 => 0101000
[5,3,2,8,1,4,7,6] => 1101001 => 1001011 => 0110100
[6,3,8,2,1,4,7,5] => 1011001 => 1001101 => 0110010
[7,8,3,2,1,4,6,5] => 0111001 => 1001110 => 0110001
[6,3,8,2,1,4,5,7] => 1011000 => 0001101 => 1110010
[4,3,2,1,8,5,6,7] => 1110100 => 0010111 => 1101000
[4,3,2,1,5,8,6,7] => 1110010 => 0100111 => 1011000
[7,8,5,6,1,2,4,3] => 0101001 => 1001010 => 0110101
[7,8,4,1,6,2,5,3] => 0110101 => 1010110 => 0101001
[7,8,1,4,6,2,5,3] => 0100101 => 1010010 => 0101101
[6,1,8,4,7,2,5,3] => 1010101 => 1010101 => 0101010
[1,6,8,4,7,2,5,3] => 0010101 => 1010100 => 0101011
[1,6,8,3,2,7,5,4] => 0011011 => 1101100 => 0010011
[6,1,8,3,2,7,5,4] => 1011011 => 1101101 => 0010010
[7,8,1,3,2,6,5,4] => 0101011 => 1101010 => 0010101
[7,8,3,1,2,6,5,4] => 0110011 => 1100110 => 0011001
[7,8,3,4,6,5,1,2] => 0100110 => 0110010 => 1001101
[7,8,2,4,6,1,5,3] => 0100101 => 1010010 => 0101101
[7,8,2,3,1,6,5,4] => 0101011 => 1101010 => 0010101
[7,8,2,1,3,6,5,4] => 0110011 => 1100110 => 0011001
[7,8,1,2,3,6,5,4] => 0100011 => 1100010 => 0011101
[6,1,8,2,3,7,5,4] => 1010011 => 1100101 => 0011010
[1,6,8,2,3,7,5,4] => 0010011 => 1100100 => 0011011
[1,5,2,8,3,7,6,4] => 0101011 => 1101010 => 0010101
[5,1,2,8,3,7,6,4] => 1001011 => 1101001 => 0010110
[5,2,1,8,3,7,6,4] => 1101011 => 1101011 => 0010100
[6,2,8,1,3,7,5,4] => 1010011 => 1100101 => 0011010
[6,2,8,3,1,7,5,4] => 1011011 => 1101101 => 0010010
[6,2,8,4,7,1,5,3] => 1010101 => 1010101 => 0101010
[6,3,8,4,7,5,1,2] => 1010110 => 0110101 => 1001010
[3,6,8,4,7,5,1,2] => 0010110 => 0110100 => 1001011
[2,6,8,4,7,1,5,3] => 0010101 => 1010100 => 0101011
[2,6,8,3,1,7,5,4] => 0011011 => 1101100 => 0010011
[2,6,8,1,3,7,5,4] => 0010011 => 1100100 => 0011011
[2,5,1,8,3,7,6,4] => 0101011 => 1101010 => 0010101
[1,2,5,8,3,7,6,4] => 0001011 => 1101000 => 0010111
[2,4,1,3,8,7,6,5] => 0100111 => 1110010 => 0001101
[2,5,3,8,1,7,6,4] => 0101011 => 1101010 => 0010101
[2,5,4,8,7,1,6,3] => 0101101 => 1011010 => 0100101
[3,5,4,8,7,6,1,2] => 0101110 => 0111010 => 1000101
[5,3,4,8,7,6,1,2] => 1001110 => 0111001 => 1000110
[5,2,4,8,7,1,6,3] => 1001101 => 1011001 => 0100110
[5,2,3,8,1,7,6,4] => 1001011 => 1101001 => 0010110
[4,2,1,3,8,7,6,5] => 1100111 => 1110011 => 0001100
[4,1,2,3,8,7,6,5] => 1000111 => 1110001 => 0001110
[1,4,2,3,8,7,6,5] => 0100111 => 1110010 => 0001101
[4,1,3,2,8,7,6,5] => 1010111 => 1110101 => 0001010
[4,3,1,2,8,7,6,5] => 1100111 => 1110011 => 0001100
[6,3,8,1,2,7,5,4] => 1010011 => 1100101 => 0011010
[5,3,1,8,2,7,6,4] => 1101011 => 1101011 => 0010100
[5,1,3,8,2,7,6,4] => 1001011 => 1101001 => 0010110
[1,5,3,8,2,7,6,4] => 0101011 => 1101010 => 0010101
[1,5,4,8,7,2,6,3] => 0101101 => 1011010 => 0100101
[5,1,4,8,7,2,6,3] => 1001101 => 1011001 => 0100110
[5,4,1,8,7,2,6,3] => 1101101 => 1011011 => 0100100
[6,4,8,1,7,2,5,3] => 1010101 => 1010101 => 0101010
[6,5,8,7,1,2,4,3] => 1011001 => 1001101 => 0110010
[5,6,8,7,3,4,1,2] => 0011010 => 0101100 => 1010011
[5,6,8,7,2,1,4,3] => 0011101 => 1011100 => 0100011
[4,5,1,8,7,2,6,3] => 0101101 => 1011010 => 0100101
[4,1,5,8,7,2,6,3] => 1001101 => 1011001 => 0100110
[1,4,5,8,7,2,6,3] => 0001101 => 1011000 => 0100111
[1,3,5,8,2,7,6,4] => 0001011 => 1101000 => 0010111
[3,1,5,8,2,7,6,4] => 1001011 => 1101001 => 0010110
[3,6,8,1,2,7,5,4] => 0010011 => 1100100 => 0011011
[3,6,8,2,1,7,5,4] => 0011011 => 1101100 => 0010011
[4,6,8,2,7,1,5,3] => 0010101 => 1010100 => 0101011
[4,6,8,3,7,5,1,2] => 0010110 => 0110100 => 1001011
[4,5,3,8,7,6,1,2] => 0101110 => 0111010 => 1000101
[4,5,2,8,7,1,6,3] => 0101101 => 1011010 => 0100101
[3,5,2,8,1,7,6,4] => 0101011 => 1101010 => 0010101
[3,1,4,2,8,7,6,5] => 1010111 => 1110101 => 0001010
[3,1,2,4,8,7,6,5] => 1000111 => 1110001 => 0001110
[3,2,5,8,1,7,6,4] => 1001011 => 1101001 => 0010110
[4,2,5,8,7,1,6,3] => 1001101 => 1011001 => 0100110
[4,3,5,8,7,6,1,2] => 1001110 => 0111001 => 1000110
[3,4,5,8,7,6,1,2] => 0001110 => 0111000 => 1000111
[2,4,5,8,7,1,6,3] => 0001101 => 1011000 => 0100111
[2,3,5,8,1,7,6,4] => 0001011 => 1101000 => 0010111
[4,1,3,2,6,5,8,7] => 1010101 => 1010101 => 0101010
[5,1,3,2,6,4,8,7] => 1010101 => 1010101 => 0101010
[6,1,3,2,5,4,8,7] => 1010101 => 1010101 => 0101010
[7,1,3,2,5,4,8,6] => 1010101 => 1010101 => 0101010
[8,1,3,2,5,4,7,6] => 1010101 => 1010101 => 0101010
[8,1,4,2,5,3,7,6] => 1010101 => 1010101 => 0101010
[7,1,4,2,5,3,8,6] => 1010101 => 1010101 => 0101010
[6,1,4,2,5,3,8,7] => 1010101 => 1010101 => 0101010
[5,1,4,2,6,3,8,7] => 1010101 => 1010101 => 0101010
[2,1,6,3,5,4,8,7] => 1010101 => 1010101 => 0101010
[3,1,6,2,5,4,8,7] => 1010101 => 1010101 => 0101010
[4,1,6,2,5,3,8,7] => 1010101 => 1010101 => 0101010
[6,2,5,1,4,3,8,7] => 1010101 => 1010101 => 0101010
[5,2,6,1,4,3,8,7] => 1010101 => 1010101 => 0101010
[5,2,7,1,4,3,8,6] => 1010101 => 1010101 => 0101010
[5,2,8,1,4,3,7,6] => 1010101 => 1010101 => 0101010
[6,2,8,1,4,3,7,5] => 1010101 => 1010101 => 0101010
[6,2,7,1,4,3,8,5] => 1010101 => 1010101 => 0101010
[7,2,6,1,4,3,8,5] => 1010101 => 1010101 => 0101010
[7,2,5,1,4,3,8,6] => 1010101 => 1010101 => 0101010
[4,1,7,2,5,3,8,6] => 1010101 => 1010101 => 0101010
[3,1,7,2,5,4,8,6] => 1010101 => 1010101 => 0101010
[2,1,7,3,5,4,8,6] => 1010101 => 1010101 => 0101010
[2,1,8,3,5,4,7,6] => 1010101 => 1010101 => 0101010
[3,1,8,2,5,4,7,6] => 1010101 => 1010101 => 0101010
[4,1,8,2,5,3,7,6] => 1010101 => 1010101 => 0101010
[8,2,5,1,4,3,7,6] => 1010101 => 1010101 => 0101010
[8,2,6,1,4,3,7,5] => 1010101 => 1010101 => 0101010
[7,1,4,3,8,2,6,5] => 1010101 => 1010101 => 0101010
[8,1,4,3,7,2,6,5] => 1010101 => 1010101 => 0101010
[8,1,5,3,7,2,6,4] => 1010101 => 1010101 => 0101010
[7,1,5,3,8,2,6,4] => 1010101 => 1010101 => 0101010
[8,2,6,1,5,3,7,4] => 1010101 => 1010101 => 0101010
[5,1,8,2,6,3,7,4] => 1010101 => 1010101 => 0101010
[4,1,8,2,6,3,7,5] => 1010101 => 1010101 => 0101010
[3,1,8,2,6,4,7,5] => 1010101 => 1010101 => 0101010
[2,1,8,3,6,4,7,5] => 1010101 => 1010101 => 0101010
[2,1,7,3,6,4,8,5] => 1010101 => 1010101 => 0101010
[4,1,7,2,6,3,8,5] => 1010101 => 1010101 => 0101010
[5,1,7,2,6,3,8,4] => 1010101 => 1010101 => 0101010
[7,2,6,1,5,3,8,4] => 1010101 => 1010101 => 0101010
[6,2,7,1,5,3,8,4] => 1010101 => 1010101 => 0101010
[6,2,8,1,5,3,7,4] => 1010101 => 1010101 => 0101010
[8,1,5,2,6,3,7,4] => 1010101 => 1010101 => 0101010
[6,1,5,2,7,3,8,4] => 1010101 => 1010101 => 0101010
[6,1,4,2,7,3,8,5] => 1010101 => 1010101 => 0101010
[8,1,4,2,6,3,7,5] => 1010101 => 1010101 => 0101010
[8,1,3,2,6,4,7,5] => 1010101 => 1010101 => 0101010
[7,1,3,2,6,4,8,5] => 1010101 => 1010101 => 0101010
[6,1,3,2,7,4,8,5] => 1010101 => 1010101 => 0101010
[5,1,3,2,7,4,8,6] => 1010101 => 1010101 => 0101010
[4,1,3,2,7,5,8,6] => 1010101 => 1010101 => 0101010
[2,1,4,3,8,5,7,6] => 1010101 => 1010101 => 0101010
[3,1,4,2,8,5,7,6] => 1010101 => 1010101 => 0101010
[4,1,3,2,8,5,7,6] => 1010101 => 1010101 => 0101010
[5,1,3,2,8,4,7,6] => 1010101 => 1010101 => 0101010
[6,1,3,2,8,4,7,5] => 1010101 => 1010101 => 0101010
[8,4,7,1,3,2,6,5] => 1010101 => 1010101 => 0101010
[7,4,8,1,3,2,6,5] => 1010101 => 1010101 => 0101010
[7,3,8,1,4,2,6,5] => 1010101 => 1010101 => 0101010
[8,3,7,1,4,2,6,5] => 1010101 => 1010101 => 0101010
[6,1,4,2,8,3,7,5] => 1010101 => 1010101 => 0101010
[5,1,4,2,8,3,7,6] => 1010101 => 1010101 => 0101010
[4,1,5,2,8,3,7,6] => 1010101 => 1010101 => 0101010
[3,1,5,2,8,4,7,6] => 1010101 => 1010101 => 0101010
[2,1,5,3,8,4,7,6] => 1010101 => 1010101 => 0101010
[2,1,6,3,8,4,7,5] => 1010101 => 1010101 => 0101010
[3,1,6,2,8,4,7,5] => 1010101 => 1010101 => 0101010
[4,1,6,2,8,3,7,5] => 1010101 => 1010101 => 0101010
[5,1,6,2,8,3,7,4] => 1010101 => 1010101 => 0101010
[6,1,5,2,8,3,7,4] => 1010101 => 1010101 => 0101010
[8,3,7,1,5,2,6,4] => 1010101 => 1010101 => 0101010
[7,3,8,1,5,2,6,4] => 1010101 => 1010101 => 0101010
[6,2,7,3,8,1,5,4] => 1010101 => 1010101 => 0101010
[6,2,8,3,7,1,5,4] => 1010101 => 1010101 => 0101010
[8,3,7,2,6,1,5,4] => 1010101 => 1010101 => 0101010
[5,1,8,3,7,2,6,4] => 1010101 => 1010101 => 0101010
[4,1,8,3,7,2,6,5] => 1010101 => 1010101 => 0101010
[3,1,8,4,7,2,6,5] => 1010101 => 1010101 => 0101010
[2,1,8,4,7,3,6,5] => 1010101 => 1010101 => 0101010
[2,1,7,4,8,3,6,5] => 1010101 => 1010101 => 0101010
[3,1,7,4,8,2,6,5] => 1010101 => 1010101 => 0101010
[4,1,7,3,8,2,6,5] => 1010101 => 1010101 => 0101010
[5,1,7,3,8,2,6,4] => 1010101 => 1010101 => 0101010
[7,3,8,2,6,1,5,4] => 1010101 => 1010101 => 0101010
[8,2,6,3,7,1,5,4] => 1010101 => 1010101 => 0101010
[7,2,6,3,8,1,5,4] => 1010101 => 1010101 => 0101010
[3,4,2,6,8,1,5,7] => 0100100 => 0010010 => 1101101
[5,3,6,2,8,1,4,7] => 1010100 => 0010101 => 1101010
[5,3,6,2,4,8,1,7] => 1010010 => 0100101 => 1011010
[5,7,3,8,2,4,1,6] => 0101010 => 0101010 => 1010101
[5,7,3,8,2,4,6,1] => 0101001 => 1001010 => 0110101
[7,4,2,5,8,3,6,1] => 1100101 => 1010011 => 0101100
[7,4,2,5,8,3,1,6] => 1100110 => 0110011 => 1001100
[4,5,2,6,3,8,1,7] => 0101010 => 0101010 => 1010101
[4,5,2,1,6,8,3,7] => 0110010 => 0100110 => 1011001
[5,3,1,6,8,2,4,7] => 1100100 => 0010011 => 1101100
[5,6,2,8,1,3,4,7] => 0101000 => 0001010 => 1110101
[3,5,6,1,4,8,2,7] => 0010010 => 0100100 => 1011011
[4,1,5,6,3,8,2,7] => 1001010 => 0101001 => 1010110
[4,5,1,6,3,8,2,7] => 0101010 => 0101010 => 1010101
[4,5,6,3,2,8,1,7] => 0011010 => 0101100 => 1010011
[7,4,5,3,8,2,1,6] => 1010110 => 0110101 => 1001010
[7,4,5,3,8,2,6,1] => 1010101 => 1010101 => 0101010
[6,7,4,8,3,2,5,1] => 0101101 => 1011010 => 0100101
[6,7,4,8,3,2,1,5] => 0101110 => 0111010 => 1000101
[6,7,4,1,8,3,2,5] => 0110110 => 0110110 => 1001001
[7,4,5,3,1,8,2,6] => 1011010 => 0101101 => 1010010
[4,7,1,5,8,3,2,6] => 0100110 => 0110010 => 1001101
[5,3,7,8,1,4,2,6] => 1001010 => 0101001 => 1010110
[7,5,8,2,4,6,1,3] => 1010010 => 0100101 => 1011010
[7,3,5,8,1,4,6,2] => 1001001 => 1001001 => 0110110
[4,5,1,7,8,3,6,2] => 0100101 => 1010010 => 0101101
[7,4,1,5,8,3,6,2] => 1100101 => 1010011 => 0101100
[6,7,4,3,8,1,5,2] => 0110101 => 1010110 => 0101001
[6,7,4,8,3,1,5,2] => 0101101 => 1011010 => 0100101
[6,7,4,8,3,5,2,1] => 0101011 => 1101010 => 0010101
[5,6,7,3,8,4,2,1] => 0010111 => 1110100 => 0001011
[5,6,7,3,1,8,4,2] => 0011011 => 1101100 => 0010011
[5,6,1,7,3,8,4,2] => 0101011 => 1101010 => 0010101
[5,1,6,7,3,8,4,2] => 1001011 => 1101001 => 0010110
[6,4,7,1,8,3,5,2] => 1010101 => 1010101 => 0101010
[6,7,8,3,1,4,5,2] => 0011001 => 1001100 => 0110011
[6,7,2,8,4,5,1,3] => 0101010 => 0101010 => 1010101
[6,7,2,8,4,1,3,5] => 0101100 => 0011010 => 1100101
[6,1,7,4,8,3,2,5] => 1010110 => 0110101 => 1001010
[5,1,6,7,3,2,8,4] => 1001101 => 1011001 => 0100110
[5,6,1,7,3,2,8,4] => 0101101 => 1011010 => 0100101
[5,6,7,3,2,1,8,4] => 0011101 => 1011100 => 0100011
[5,6,7,3,2,8,4,1] => 0011011 => 1101100 => 0010011
[5,6,2,7,3,8,4,1] => 0101011 => 1101010 => 0010101
[5,6,2,7,3,1,8,4] => 0101101 => 1011010 => 0100101
[5,6,2,1,7,3,8,4] => 0110101 => 1010110 => 0101001
[6,1,7,4,2,8,3,5] => 1011010 => 0101101 => 1010010
[6,7,2,1,8,3,4,5] => 0110100 => 0010110 => 1101001
[7,5,8,2,1,3,4,6] => 1011000 => 0001101 => 1110010
[5,7,3,1,8,2,4,6] => 0110100 => 0010110 => 1101001
[4,7,1,5,2,8,3,6] => 0101010 => 0101010 => 1010101
[7,4,2,5,1,8,3,6] => 1101010 => 0101011 => 1010100
[6,7,4,2,1,8,3,5] => 0111010 => 0101110 => 1010001
[6,7,4,2,8,3,1,5] => 0110110 => 0110110 => 1001001
[6,7,4,2,8,3,5,1] => 0110101 => 1010110 => 0101001
[3,6,7,2,8,4,5,1] => 0010101 => 1010100 => 0101011
[3,6,7,2,8,4,1,5] => 0010110 => 0110100 => 1001011
[3,6,7,2,1,8,4,5] => 0011010 => 0101100 => 1010011
[5,7,3,8,2,1,4,6] => 0101100 => 0011010 => 1100101
[3,4,7,8,2,1,5,6] => 0001100 => 0011000 => 1100111
[3,7,8,1,4,6,2,5] => 0010010 => 0100100 => 1011011
[3,4,7,8,2,6,1,5] => 0001010 => 0101000 => 1010111
[5,7,3,8,2,6,1,4] => 0101010 => 0101010 => 1010101
[3,6,7,2,8,5,1,4] => 0010110 => 0110100 => 1001011
[3,6,7,8,5,2,1,4] => 0001110 => 0111000 => 1000111
[3,6,7,8,5,2,4,1] => 0001101 => 1011000 => 0100111
[6,4,7,8,2,5,3,1] => 1001011 => 1101001 => 0010110
[6,4,7,8,2,1,5,3] => 1001101 => 1011001 => 0100110
[4,1,5,7,8,2,6,3] => 1000101 => 1010001 => 0101110
[5,3,7,8,1,6,2,4] => 1001010 => 0101001 => 1010110
[6,7,2,8,5,1,3,4] => 0101100 => 0011010 => 1100101
[6,4,1,7,8,2,5,3] => 1100101 => 1010011 => 0101100
[5,1,6,2,7,8,4,3] => 1010011 => 1100101 => 0011010
[5,6,2,1,7,8,4,3] => 0110011 => 1100110 => 0011001
[5,6,2,7,1,8,4,3] => 0101011 => 1101010 => 0010101
[5,6,2,7,8,4,3,1] => 0100111 => 1110010 => 0001101
[5,6,7,2,8,4,3,1] => 0010111 => 1110100 => 0001011
[5,6,7,2,1,8,4,3] => 0011011 => 1101100 => 0010011
[5,6,1,7,2,8,4,3] => 0101011 => 1101010 => 0010101
[5,1,6,7,2,8,4,3] => 1001011 => 1101001 => 0010110
[6,4,7,1,8,2,5,3] => 1010101 => 1010101 => 0101010
[3,6,7,1,8,5,2,4] => 0010110 => 0110100 => 1001011
[6,7,8,5,2,4,1,3] => 0011010 => 0101100 => 1010011
[6,7,8,3,5,1,4,2] => 0010101 => 1010100 => 0101011
[4,6,7,8,1,5,3,2] => 0001011 => 1101000 => 0010111
[5,1,6,7,8,4,3,2] => 1000111 => 1110001 => 0001110
[5,6,1,7,8,4,3,2] => 0100111 => 1110010 => 0001101
[5,6,7,1,8,4,3,2] => 0010111 => 1110100 => 0001011
[8,6,1,3,4,2,5,7] => 1100100 => 0010011 => 1101100
[8,3,2,5,1,6,4,7] => 1101010 => 0101011 => 1010100
[8,5,3,6,2,4,1,7] => 1101010 => 0101011 => 1010100
[5,3,2,7,4,1,8,6] => 1101101 => 1011011 => 0100100
[7,5,3,8,2,4,6,1] => 1101001 => 1001011 => 0110100
[7,2,4,5,8,3,6,1] => 1000101 => 1010001 => 0101110
[2,4,5,3,7,1,8,6] => 0010101 => 1010100 => 0101011
[8,2,4,5,6,3,1,7] => 1000110 => 0110001 => 1001110
[8,2,4,5,6,1,3,7] => 1000100 => 0010001 => 1101110
[8,1,2,4,5,6,3,7] => 1000010 => 0100001 => 1011110
[8,2,5,1,3,6,4,7] => 1010010 => 0100101 => 1011010
[8,5,6,2,1,4,3,7] => 1011010 => 0101101 => 1010010
[8,5,3,6,4,1,2,7] => 1101100 => 0011011 => 1100100
[8,4,1,5,6,3,2,7] => 1100110 => 0110011 => 1001100
[8,1,4,5,6,3,2,7] => 1000110 => 0110001 => 1001110
[4,5,3,7,2,1,8,6] => 0101101 => 1011010 => 0100101
[7,4,5,8,3,2,6,1] => 1001101 => 1011001 => 0100110
[4,3,6,7,2,8,5,1] => 1001011 => 1101001 => 0010110
[4,3,6,7,2,8,1,5] => 1001010 => 0101001 => 1010110
[1,4,3,6,7,2,8,5] => 0100101 => 1010010 => 0101101
[4,5,3,7,1,8,2,6] => 0101010 => 0101010 => 1010101
[4,1,5,3,7,2,8,6] => 1010101 => 1010101 => 0101010
[5,3,4,7,1,2,8,6] => 1001001 => 1001001 => 0110110
[7,5,8,2,1,4,6,3] => 1011001 => 1001101 => 0110010
[7,5,3,8,4,1,6,2] => 1101101 => 1011011 => 0100100
[7,4,5,8,3,6,1,2] => 1001010 => 0101001 => 1010110
[4,3,6,7,8,1,5,2] => 1000101 => 1010001 => 0101110
[1,6,4,7,8,3,5,2] => 0100101 => 1010010 => 0101101
[6,4,7,8,3,5,2,1] => 1001011 => 1101001 => 0010110
[3,5,6,7,8,4,1,2] => 0000110 => 0110000 => 1001111
[3,1,5,6,7,8,4,2] => 1000011 => 1100001 => 0011110
[4,6,1,7,8,3,5,2] => 0100101 => 1010010 => 0101101
[3,6,7,1,4,8,5,2] => 0010011 => 1100100 => 0011011
[6,2,4,1,7,8,5,3] => 1010011 => 1100101 => 0011010
[2,6,7,1,4,8,3,5] => 0010010 => 0100100 => 1011011
[4,3,6,7,8,1,2,5] => 1000100 => 0010001 => 1101110
[1,5,3,6,7,8,2,4] => 0100010 => 0100010 => 1011101
[3,5,6,7,8,2,1,4] => 0000110 => 0110000 => 1001111
[3,5,6,7,8,2,4,1] => 0000101 => 1010000 => 0101111
[5,2,7,1,3,8,4,6] => 1010010 => 0100101 => 1011010
[5,3,1,7,8,2,4,6] => 1100100 => 0010011 => 1101100
[4,5,2,7,8,1,3,6] => 0100100 => 0010010 => 1101101
[4,2,6,7,8,3,1,5] => 1000110 => 0110001 => 1001110
[4,2,6,7,8,3,5,1] => 1000101 => 1010001 => 0101110
[3,6,2,7,4,8,5,1] => 0101011 => 1101010 => 0010101
[3,6,2,7,4,8,1,5] => 0101010 => 0101010 => 1010101
[3,2,1,6,4,7,8,5] => 1101001 => 1001011 => 0110100
[3,7,4,2,1,5,8,6] => 0111001 => 1001110 => 0110001
[1,7,3,4,2,5,8,6] => 0101001 => 1001010 => 0110101
[4,7,2,1,3,5,8,6] => 0110001 => 1000110 => 0111001
[7,8,4,2,1,3,6,5] => 0111001 => 1001110 => 0110001
[7,8,1,3,4,2,6,5] => 0100101 => 1010010 => 0101101
[7,8,3,4,2,1,6,5] => 0101101 => 1011010 => 0100101
[6,3,2,7,1,8,5,4] => 1101011 => 1101011 => 0010100
[3,6,2,7,1,8,5,4] => 0101011 => 1101010 => 0010101
[6,7,3,8,2,5,4,1] => 0101011 => 1101010 => 0010101
[6,4,7,8,5,2,3,1] => 1001101 => 1011001 => 0100110
[2,6,4,7,8,1,5,3] => 0100101 => 1010010 => 0101101
[4,6,2,7,8,1,5,3] => 0100101 => 1010010 => 0101101
[7,4,5,8,6,2,1,3] => 1001110 => 0111001 => 1000110
[7,4,1,5,8,6,2,3] => 1100110 => 0110011 => 1001100
[7,5,3,8,6,1,2,4] => 1101100 => 0011011 => 1100100
[7,5,8,2,1,6,3,4] => 1011010 => 0101101 => 1010010
[6,2,7,1,3,8,5,4] => 1010011 => 1100101 => 0011010
[6,3,1,7,8,2,5,4] => 1100101 => 1010011 => 0101100
[4,6,1,7,8,5,2,3] => 0100110 => 0110010 => 1001101
[5,1,2,6,7,8,4,3] => 1000011 => 1100001 => 0011110
[5,2,6,7,8,4,1,3] => 1000110 => 0110001 => 1001110
[5,2,6,7,8,4,3,1] => 1000111 => 1110001 => 0001110
[2,5,6,7,8,4,1,3] => 0000110 => 0110000 => 1001111
[1,5,2,6,7,8,4,3] => 0100011 => 1100010 => 0011101
[1,6,4,7,8,5,2,3] => 0100110 => 0110010 => 1001101
[2,6,7,1,3,8,5,4] => 0010011 => 1100100 => 0011011
[6,7,8,2,1,5,4,3] => 0011011 => 1101100 => 0010011
[6,7,3,8,5,1,4,2] => 0101101 => 1011010 => 0100101
[6,4,7,8,5,3,1,2] => 1001110 => 0111001 => 1000110
[4,5,2,3,7,6,1,8] => 0100110 => 0110010 => 1001101
[6,4,3,7,2,5,1,8] => 1101010 => 0101011 => 1010100
[8,4,3,6,5,1,2,7] => 1101100 => 0011011 => 1100100
[1,5,6,3,4,8,7,2] => 0010011 => 1100100 => 0011011
[4,6,2,7,3,5,1,8] => 0101010 => 0101010 => 1010101
[3,2,6,7,4,5,1,8] => 1001010 => 0101001 => 1010110
[4,7,2,6,5,3,1,8] => 0101110 => 0111010 => 1000101
[5,7,6,2,4,3,1,8] => 0110110 => 0110110 => 1001001
[1,7,5,4,8,3,6,2] => 0110101 => 1010110 => 0101001
[8,7,5,4,1,3,2,6] => 1111010 => 0101111 => 1010000
[6,8,5,4,2,1,3,7] => 0111100 => 0011110 => 1100001
[5,8,6,2,4,1,3,7] => 0110100 => 0010110 => 1101001
[4,8,2,6,5,1,3,7] => 0101100 => 0011010 => 1100101
[3,2,8,6,5,1,4,7] => 1011100 => 0011101 => 1100010
[4,1,2,6,5,8,7,3] => 1001011 => 1101001 => 0010110
[5,1,6,2,4,8,7,3] => 1010011 => 1100101 => 0011010
[6,1,5,4,2,8,7,3] => 1011011 => 1101101 => 0010010
[7,1,5,4,8,2,6,3] => 1010101 => 1010101 => 0101010
[8,1,5,4,7,6,2,3] => 1010110 => 0110101 => 1001010
[1,8,6,7,4,5,3,2] => 0101011 => 1101010 => 0010101
[8,1,6,7,4,5,2,3] => 1001010 => 0101001 => 1010110
[7,1,6,8,4,2,5,3] => 1001101 => 1011001 => 0100110
[6,1,7,8,2,4,5,3] => 1001001 => 1001001 => 0110110
[5,1,7,2,8,4,6,3] => 1010101 => 1010101 => 0101010
[4,1,2,7,8,5,6,3] => 1000101 => 1010001 => 0101110
[3,2,1,7,8,5,6,4] => 1100101 => 1010011 => 0101100
[3,2,8,7,1,5,4,6] => 1011010 => 0101101 => 1010010
[4,8,2,7,1,5,3,6] => 0101010 => 0101010 => 1010101
[5,8,7,2,1,4,3,6] => 0111010 => 0101110 => 1010001
[6,8,7,1,2,4,3,5] => 0110010 => 0100110 => 1011001
[7,8,6,1,4,2,3,5] => 0110100 => 0010110 => 1101001
[8,7,6,1,4,3,2,5] => 1110110 => 0110111 => 1001000
[1,7,6,8,4,3,5,2] => 0101101 => 1011010 => 0100101
[1,6,7,8,3,4,5,2] => 0001001 => 1001000 => 0110111
[8,6,7,1,3,4,2,5] => 1010010 => 0100101 => 1011010
[7,6,8,1,3,2,4,5] => 1010100 => 0010101 => 1101010
[5,7,8,2,1,3,4,6] => 0011000 => 0001100 => 1110011
[4,7,2,8,1,3,5,6] => 0101000 => 0001010 => 1110101
[3,2,6,8,4,1,5,7] => 1001100 => 0011001 => 1100110
[4,6,2,8,3,1,5,7] => 0101100 => 0011010 => 1100101
[5,6,8,2,3,1,4,7] => 0010100 => 0010100 => 1101011
[6,5,8,3,2,1,4,7] => 1011100 => 0011101 => 1100010
[7,5,8,3,1,2,4,6] => 1011000 => 0001101 => 1110010
[8,5,7,3,1,4,2,6] => 1011010 => 0101101 => 1010010
[1,5,7,3,8,4,6,2] => 0010101 => 1010100 => 0101011
[1,4,3,7,8,5,6,2] => 0100101 => 1010010 => 0101101
[8,4,3,7,1,5,2,6] => 1101010 => 0101011 => 1010100
[6,4,3,8,2,1,5,7] => 1101100 => 0011011 => 1100100
[4,5,2,3,8,1,6,7] => 0100100 => 0010010 => 1101101
[3,2,5,4,8,1,6,7] => 1010100 => 0010101 => 1101010
[4,5,2,3,1,8,7,6] => 0101011 => 1101010 => 0010101
[6,4,3,1,2,8,7,5] => 1110011 => 1100111 => 0011000
[7,4,3,1,8,2,6,5] => 1110101 => 1010111 => 0101000
[8,4,3,1,7,6,2,5] => 1110110 => 0110111 => 1001000
[1,5,8,3,7,6,4,2] => 0010111 => 1110100 => 0001011
[8,5,1,3,7,6,2,4] => 1100110 => 0110011 => 1001100
[7,5,1,3,8,2,6,4] => 1100101 => 1010011 => 0101100
[6,5,1,3,2,8,7,4] => 1101011 => 1101011 => 0010100
[5,6,1,2,3,8,7,4] => 0100011 => 1100010 => 0011101
[4,6,2,1,3,8,7,5] => 0110011 => 1100110 => 0011001
[3,2,6,1,4,8,7,5] => 1010011 => 1100101 => 0011010
[3,2,7,1,8,4,6,5] => 1010101 => 1010101 => 0101010
[4,7,2,1,8,3,6,5] => 0110101 => 1010110 => 0101001
[5,7,1,2,8,3,6,4] => 0100101 => 1010010 => 0101101
[6,7,1,8,2,3,5,4] => 0101001 => 1001010 => 0110101
[7,6,1,8,3,2,5,4] => 1101101 => 1011011 => 0100100
[8,6,1,7,3,5,2,4] => 1101010 => 0101011 => 1010100
[1,6,8,7,3,5,4,2] => 0011011 => 1101100 => 0010011
[1,7,8,6,5,3,4,2] => 0011101 => 1011100 => 0100011
[8,7,1,6,5,3,2,4] => 1101110 => 0111011 => 1000100
[7,8,1,6,5,2,3,4] => 0101100 => 0011010 => 1100101
[6,8,1,7,2,5,3,4] => 0101010 => 0101010 => 1010101
[5,8,1,2,7,6,3,4] => 0100110 => 0110010 => 1001101
[4,8,2,1,7,6,3,5] => 0110110 => 0110110 => 1001001
[3,2,8,1,7,6,4,5] => 1010110 => 0110101 => 1001010
[4,1,2,8,7,6,5,3] => 1001111 => 1111001 => 0000110
[5,1,8,2,7,6,4,3] => 1010111 => 1110101 => 0001010
[6,1,8,7,2,5,4,3] => 1011011 => 1101101 => 0010010
[7,1,8,6,5,2,4,3] => 1011101 => 1011101 => 0100010
[8,1,7,6,5,4,2,3] => 1011110 => 0111101 => 1000010
[3,1,2,6,5,8,7,4] => 1001011 => 1101001 => 0010110
[3,1,6,2,4,8,7,5] => 1010011 => 1100101 => 0011010
[3,1,5,2,4,8,7,6] => 1010011 => 1100101 => 0011010
[4,5,1,2,3,8,7,6] => 0100011 => 1100010 => 0011101
[4,6,1,2,3,8,7,5] => 0100011 => 1100010 => 0011101
[1,6,5,3,4,8,7,2] => 0110011 => 1100110 => 0011001
[6,1,5,2,4,8,7,3] => 1010011 => 1100101 => 0011010
[6,5,1,2,3,8,7,4] => 1100011 => 1100011 => 0011100
[6,4,1,2,3,8,7,5] => 1100011 => 1100011 => 0011100
[5,4,1,2,3,8,7,6] => 1100011 => 1100011 => 0011100
[5,4,1,2,7,3,6,8] => 1100100 => 0010011 => 1101100
[6,4,1,7,2,3,5,8] => 1101000 => 0001011 => 1110100
[6,4,1,8,2,3,5,7] => 1101000 => 0001011 => 1110100
[7,4,1,2,8,3,6,5] => 1100101 => 1010011 => 0101100
[7,5,1,2,8,3,6,4] => 1100101 => 1010011 => 0101100
[7,1,5,2,8,4,6,3] => 1010101 => 1010101 => 0101010
[1,7,5,3,8,4,6,2] => 0110101 => 1010110 => 0101001
[1,8,5,3,7,4,6,2] => 0110101 => 1010110 => 0101001
[8,1,5,2,7,4,6,3] => 1010101 => 1010101 => 0101010
[8,5,1,2,7,3,6,4] => 1100101 => 1010011 => 0101100
[8,4,1,2,7,3,6,5] => 1100101 => 1010011 => 0101100
[8,4,1,7,2,3,5,6] => 1101000 => 0001011 => 1110100
[7,4,1,6,2,3,5,8] => 1101000 => 0001011 => 1110100
[8,6,1,7,2,3,5,4] => 1101001 => 1001011 => 0110100
[8,1,6,7,2,4,5,3] => 1001001 => 1001001 => 0110110
[1,8,6,7,3,4,5,2] => 0101001 => 1001010 => 0110101
[1,7,6,8,3,4,5,2] => 0101001 => 1001010 => 0110101
[7,1,6,8,2,4,5,3] => 1001001 => 1001001 => 0110110
[7,6,1,8,2,3,5,4] => 1101001 => 1001011 => 0110100
[4,7,1,2,8,3,6,5] => 0100101 => 1010010 => 0101101
[3,1,7,2,8,4,6,5] => 1010101 => 1010101 => 0101010
[3,1,2,7,8,5,6,4] => 1000101 => 1010001 => 0101110
[1,4,3,8,7,5,6,2] => 0101101 => 1011010 => 0100101
[4,1,2,8,7,5,6,3] => 1001101 => 1011001 => 0100110
[3,1,2,8,7,5,6,4] => 1001101 => 1011001 => 0100110
[3,1,8,2,7,4,6,5] => 1010101 => 1010101 => 0101010
[3,1,8,7,2,4,5,6] => 1011000 => 0001101 => 1110010
[3,1,7,6,2,4,5,8] => 1011000 => 0001101 => 1110010
[4,7,1,6,2,3,5,8] => 0101000 => 0001010 => 1110101
[4,8,1,6,2,3,5,7] => 0101000 => 0001010 => 1110101
[4,8,1,7,2,3,5,6] => 0101000 => 0001010 => 1110101
[4,8,1,2,7,3,6,5] => 0100101 => 1010010 => 0101101
[5,8,1,2,7,3,6,4] => 0100101 => 1010010 => 0101101
[5,1,8,2,7,4,6,3] => 1010101 => 1010101 => 0101010
[1,5,8,3,7,4,6,2] => 0010101 => 1010100 => 0101011
[1,6,8,7,3,4,5,2] => 0011001 => 1001100 => 0110011
[6,1,8,7,2,4,5,3] => 1011001 => 1001101 => 0110010
[6,8,1,7,2,3,5,4] => 0101001 => 1001010 => 0110101
[6,8,7,1,2,3,4,5] => 0110000 => 0000110 => 1111001
[5,8,7,1,2,3,4,6] => 0110000 => 0000110 => 1111001
[5,8,6,1,2,3,4,7] => 0110000 => 0000110 => 1111001
[5,7,6,1,2,3,4,8] => 0110000 => 0000110 => 1111001
[7,8,1,6,2,3,5,4] => 0101001 => 1001010 => 0110101
[7,1,8,6,2,4,5,3] => 1011001 => 1001101 => 0110010
[1,7,8,6,3,4,5,2] => 0011001 => 1001100 => 0110011
[1,8,7,6,3,4,5,2] => 0111001 => 1001110 => 0110001
[8,1,7,6,2,4,5,3] => 1011001 => 1001101 => 0110010
[8,7,1,6,2,3,5,4] => 1101001 => 1001011 => 0110100
[3,2,5,1,6,4,8,7] => 1010101 => 1010101 => 0101010
[3,2,5,4,7,1,8,6] => 1010101 => 1010101 => 0101010
[4,2,5,3,7,6,8,1] => 1010101 => 1010101 => 0101010
[4,2,5,3,7,1,8,6] => 1010101 => 1010101 => 0101010
[4,2,5,3,6,1,8,7] => 1010101 => 1010101 => 0101010
[4,2,5,1,6,3,8,7] => 1010101 => 1010101 => 0101010
[3,1,5,4,6,2,8,7] => 1010101 => 1010101 => 0101010
[4,1,5,3,6,2,8,7] => 1010101 => 1010101 => 0101010
[4,3,5,1,6,2,8,7] => 1010101 => 1010101 => 0101010
[4,3,5,2,7,1,8,6] => 1010101 => 1010101 => 0101010
[4,3,6,2,7,5,8,1] => 1010101 => 1010101 => 0101010
[4,3,6,2,7,1,8,5] => 1010101 => 1010101 => 0101010
[4,3,6,1,7,2,8,5] => 1010101 => 1010101 => 0101010
[4,3,5,1,7,2,8,6] => 1010101 => 1010101 => 0101010
[3,1,5,4,7,2,8,6] => 1010101 => 1010101 => 0101010
[2,1,5,4,7,3,8,6] => 1010101 => 1010101 => 0101010
[3,1,5,4,7,6,8,2] => 1010101 => 1010101 => 0101010
[4,1,5,3,7,6,8,2] => 1010101 => 1010101 => 0101010
[4,3,5,1,7,6,8,2] => 1010101 => 1010101 => 0101010
[4,3,6,1,7,5,8,2] => 1010101 => 1010101 => 0101010
[4,3,6,5,7,1,8,2] => 1010101 => 1010101 => 0101010
[5,3,6,4,7,2,8,1] => 1010101 => 1010101 => 0101010
[5,3,6,4,7,1,8,2] => 1010101 => 1010101 => 0101010
[5,3,6,1,7,4,8,2] => 1010101 => 1010101 => 0101010
[5,1,6,3,7,4,8,2] => 1010101 => 1010101 => 0101010
[4,1,6,3,7,5,8,2] => 1010101 => 1010101 => 0101010
[3,1,6,4,7,5,8,2] => 1010101 => 1010101 => 0101010
[2,1,6,4,7,5,8,3] => 1010101 => 1010101 => 0101010
[2,1,6,4,7,3,8,5] => 1010101 => 1010101 => 0101010
[3,1,6,4,7,2,8,5] => 1010101 => 1010101 => 0101010
[4,1,6,3,7,2,8,5] => 1010101 => 1010101 => 0101010
[5,1,6,3,7,2,8,4] => 1010101 => 1010101 => 0101010
[5,3,6,1,7,2,8,4] => 1010101 => 1010101 => 0101010
[5,3,6,2,7,1,8,4] => 1010101 => 1010101 => 0101010
[5,3,6,2,7,4,8,1] => 1010101 => 1010101 => 0101010
[5,2,6,3,7,4,8,1] => 1010101 => 1010101 => 0101010
[5,2,6,3,7,1,8,4] => 1010101 => 1010101 => 0101010
[5,2,6,1,7,3,8,4] => 1010101 => 1010101 => 0101010
[4,2,5,1,7,3,8,6] => 1010101 => 1010101 => 0101010
[4,2,6,1,7,3,8,5] => 1010101 => 1010101 => 0101010
[4,2,6,3,7,1,8,5] => 1010101 => 1010101 => 0101010
[4,2,6,3,7,5,8,1] => 1010101 => 1010101 => 0101010
[3,2,6,4,7,5,8,1] => 1010101 => 1010101 => 0101010
[3,2,6,4,7,1,8,5] => 1010101 => 1010101 => 0101010
[3,2,6,1,7,4,8,5] => 1010101 => 1010101 => 0101010
[3,2,5,1,7,4,8,6] => 1010101 => 1010101 => 0101010
[3,2,4,1,7,5,8,6] => 1010101 => 1010101 => 0101010
[3,1,4,2,7,6,8,5] => 1010101 => 1010101 => 0101010
[3,2,5,1,7,6,8,4] => 1010101 => 1010101 => 0101010
[3,2,6,1,7,5,8,4] => 1010101 => 1010101 => 0101010
[3,2,6,5,7,1,8,4] => 1010101 => 1010101 => 0101010
[4,2,6,5,7,3,8,1] => 1010101 => 1010101 => 0101010
[4,2,6,5,7,1,8,3] => 1010101 => 1010101 => 0101010
[4,2,6,1,7,5,8,3] => 1010101 => 1010101 => 0101010
[4,2,5,1,7,6,8,3] => 1010101 => 1010101 => 0101010
[4,1,5,2,7,6,8,3] => 1010101 => 1010101 => 0101010
[3,1,5,2,7,6,8,4] => 1010101 => 1010101 => 0101010
[2,1,5,3,7,6,8,4] => 1010101 => 1010101 => 0101010
[2,1,6,3,7,5,8,4] => 1010101 => 1010101 => 0101010
[3,1,6,2,7,5,8,4] => 1010101 => 1010101 => 0101010
[4,1,6,2,7,5,8,3] => 1010101 => 1010101 => 0101010
[5,1,6,2,7,4,8,3] => 1010101 => 1010101 => 0101010
[5,2,6,1,7,4,8,3] => 1010101 => 1010101 => 0101010
[5,2,6,4,7,1,8,3] => 1010101 => 1010101 => 0101010
[5,2,6,4,7,3,8,1] => 1010101 => 1010101 => 0101010
[5,4,6,2,7,3,8,1] => 1010101 => 1010101 => 0101010
[5,4,6,2,7,1,8,3] => 1010101 => 1010101 => 0101010
[5,4,6,1,7,2,8,3] => 1010101 => 1010101 => 0101010
[5,1,6,4,7,2,8,3] => 1010101 => 1010101 => 0101010
[4,1,6,5,7,2,8,3] => 1010101 => 1010101 => 0101010
[3,1,6,5,7,2,8,4] => 1010101 => 1010101 => 0101010
[2,1,6,5,7,3,8,4] => 1010101 => 1010101 => 0101010
[3,1,6,5,7,4,8,2] => 1010101 => 1010101 => 0101010
[4,1,6,5,7,3,8,2] => 1010101 => 1010101 => 0101010
[5,1,6,4,7,3,8,2] => 1010101 => 1010101 => 0101010
[5,4,6,1,7,3,8,2] => 1010101 => 1010101 => 0101010
[5,4,6,3,7,1,8,2] => 1010101 => 1010101 => 0101010
[8,3,5,2,1,6,4,7] => 1011010 => 0101101 => 1010010
[8,6,3,5,2,4,1,7] => 1101010 => 0101011 => 1010100
[3,7,5,2,4,1,8,6] => 0110101 => 1010110 => 0101001
[8,3,7,5,2,4,6,1] => 1011001 => 1001101 => 0110010
[8,2,4,5,7,3,6,1] => 1000101 => 1010001 => 0101110
[2,4,5,7,3,1,8,6] => 0001101 => 1011000 => 0100111
[8,2,4,6,5,3,1,7] => 1001110 => 0111001 => 1000110
[8,2,5,4,6,1,3,7] => 1010100 => 0010101 => 1101010
[8,6,3,5,1,4,2,7] => 1101010 => 0101011 => 1010100
[8,6,1,4,5,3,2,7] => 1100110 => 0110011 => 1001100
[8,1,5,6,4,3,2,7] => 1001110 => 0111001 => 1000110
[5,7,4,3,2,1,8,6] => 0111101 => 1011110 => 0100001
[8,5,7,4,3,2,6,1] => 1011101 => 1011101 => 0100010
[4,6,8,3,2,7,5,1] => 0011011 => 1101100 => 0010011
[4,7,6,3,2,8,1,5] => 0111010 => 0101110 => 1010001
[1,4,6,7,3,2,8,5] => 0001101 => 1011000 => 0100111
[5,4,7,3,1,8,2,6] => 1011010 => 0101101 => 1010010
[1,7,4,5,3,2,8,6] => 0101101 => 1011010 => 0100101
[3,7,5,1,4,2,8,6] => 0110101 => 1010110 => 0101001
[5,7,4,2,1,3,8,6] => 0111001 => 1001110 => 0110001
[8,5,7,4,2,1,6,3] => 1011101 => 1011101 => 0100010
[8,3,7,5,1,4,6,2] => 1011001 => 1001101 => 0110010
[8,4,1,7,5,3,6,2] => 1101101 => 1011011 => 0100100
[4,6,3,8,7,1,5,2] => 0101101 => 1011010 => 0100101
[1,7,4,8,6,3,5,2] => 0101101 => 1011010 => 0100101
[8,4,7,6,3,5,2,1] => 1011011 => 1101101 => 0010010
[3,6,5,8,7,4,1,2] => 0101110 => 0111010 => 1000101
[3,1,5,8,6,7,4,2] => 1001011 => 1101001 => 0010110
[4,8,1,6,7,3,5,2] => 0100101 => 1010010 => 0101101
[3,6,4,1,8,7,5,2] => 0110111 => 1110110 => 0001001
[8,2,6,1,4,7,5,3] => 1010011 => 1100101 => 0011010
[2,7,6,8,1,4,3,5] => 0101010 => 0101010 => 1010101
[3,7,1,6,4,8,2,5] => 0101010 => 0101010 => 1010101
[1,7,3,5,6,8,2,4] => 0100010 => 0100010 => 1011101
[1,3,6,7,5,8,2,4] => 0001010 => 0101000 => 1010111
[3,7,6,5,8,2,1,4] => 0110110 => 0110110 => 1001001
[3,6,8,5,7,2,4,1] => 0010101 => 1010100 => 0101011
[2,3,5,7,6,8,1,4] => 0001010 => 0101000 => 1010111
[2,1,6,5,7,8,3,4] => 1010010 => 0100101 => 1011010
[4,2,7,6,8,3,1,5] => 1010110 => 0110101 => 1001010
[4,2,6,8,7,3,5,1] => 1001101 => 1011001 => 0100110
[3,8,2,4,6,7,5,1] => 0100011 => 1100010 => 0011101
[3,7,2,6,4,8,1,5] => 0101010 => 0101010 => 1010101
[3,2,6,1,4,7,8,5] => 1010001 => 1000101 => 0111010
[5,3,7,2,1,8,4,6] => 1011010 => 0101101 => 1010010
[4,7,3,2,1,5,8,6] => 0111001 => 1001110 => 0110001
[8,7,6,1,3,4,2,5] => 1110010 => 0100111 => 1011000
[8,5,7,3,2,1,6,4] => 1011101 => 1011101 => 0100010
[8,3,6,7,2,1,5,4] => 1001101 => 1011001 => 0100110
[3,7,8,6,2,1,5,4] => 0011101 => 1011100 => 0100011
[8,7,6,3,5,2,4,1] => 1110101 => 1010111 => 0101000
[2,7,4,8,1,6,5,3] => 0101011 => 1101010 => 0010101
[4,6,8,2,1,7,5,3] => 0011011 => 1101100 => 0010011
[8,4,1,5,7,2,6,3] => 1100101 => 1010011 => 0101100
[8,5,3,7,1,6,2,4] => 1101010 => 0101011 => 1010100
[8,5,7,2,1,3,6,4] => 1011001 => 1001101 => 0110010
[8,2,6,7,1,3,5,4] => 1001001 => 1001001 => 0110110
[8,3,6,1,7,5,2,4] => 1010110 => 0110101 => 1001010
[4,6,1,8,7,2,5,3] => 0101101 => 1011010 => 0100101
[8,1,2,5,6,7,4,3] => 1000011 => 1100001 => 0011110
[8,2,6,5,7,4,1,3] => 1010110 => 0110101 => 1001010
[2,1,7,8,5,6,4,3] => 1001011 => 1101001 => 0010110
[8,2,5,7,6,4,3,1] => 1001111 => 1111001 => 0000110
[2,7,6,8,5,4,1,3] => 0101110 => 0111010 => 1000101
[1,7,2,5,8,6,4,3] => 0100111 => 1110010 => 0001101
[1,7,4,8,2,6,5,3] => 0101011 => 1101010 => 0010101
[3,7,8,1,6,5,2,4] => 0010110 => 0110100 => 1001011
[2,7,8,6,1,3,5,4] => 0011001 => 1001100 => 0110011
[8,7,6,3,5,1,4,2] => 1110101 => 1010111 => 0101000
[8,4,7,6,5,1,3,2] => 1011101 => 1011101 => 0100010
[8,7,1,5,6,4,3,2] => 1100111 => 1110011 => 0001100
[8,1,6,7,5,4,3,2] => 1001111 => 1111001 => 0000110
[6,5,3,1,2,4,8,7] => 1110001 => 1000111 => 0111000
[4,6,3,5,1,2,8,7] => 0101001 => 1001010 => 0110101
[8,5,3,7,2,1,4,6] => 1101100 => 0011011 => 1100100
[6,8,1,4,5,7,3,2] => 0100011 => 1100010 => 0011101
[8,7,2,4,5,1,3,6] => 1100100 => 0010011 => 1101100
[3,6,2,4,5,1,8,7] => 0100101 => 1010010 => 0101101
[2,6,1,4,5,3,8,7] => 0100101 => 1010010 => 0101101
[6,1,2,4,5,3,8,7] => 1000101 => 1010001 => 0101110
[5,6,3,2,1,4,8,7] => 0111001 => 1001110 => 0110001
[5,4,3,6,1,2,8,7] => 1101001 => 1001011 => 0110100
[6,3,1,4,5,2,8,7] => 1100101 => 1010011 => 0101100
[3,1,6,4,5,2,8,7] => 1010101 => 1010101 => 0101010
[8,3,7,4,5,1,2,6] => 1010100 => 0010101 => 1101010
[5,8,7,4,2,6,3,1] => 0111011 => 1101110 => 0010001
[2,8,7,4,1,6,3,5] => 0111010 => 0101110 => 1010001
[8,1,7,4,2,6,3,5] => 1011010 => 0101101 => 1010010
[3,7,8,4,5,1,2,6] => 0010100 => 0010100 => 1101011
[2,1,8,7,5,3,4,6] => 1011100 => 0011101 => 1100010
[2,1,6,8,5,7,3,4] => 1001010 => 0101001 => 1010110
[5,6,3,8,1,7,2,4] => 0101010 => 0101010 => 1010101
[7,6,1,4,5,8,3,2] => 1100011 => 1100011 => 0011100
[3,7,6,4,5,8,2,1] => 0110011 => 1100110 => 0011001
[8,5,7,4,1,6,3,2] => 1011011 => 1101101 => 0010010
[5,1,8,4,7,6,2,3] => 1010110 => 0110101 => 1001010
[2,5,8,4,7,6,1,3] => 0010110 => 0110100 => 1001011
[2,4,8,3,5,6,7,1] => 0010001 => 1000100 => 0111011
[4,1,8,3,5,6,7,2] => 1010001 => 1000101 => 0111010
[3,8,4,2,5,6,7,1] => 0110001 => 1000110 => 0111001
[8,4,1,3,5,6,7,2] => 1100001 => 1000011 => 0111100
[7,5,8,4,3,6,1,2] => 1011010 => 0101101 => 1010010
[6,5,3,8,4,1,7,2] => 1101101 => 1011011 => 0100100
[2,1,5,8,4,6,7,3] => 1001001 => 1001001 => 0110110
[2,1,4,8,3,6,7,5] => 1001001 => 1001001 => 0110110
[6,4,3,8,2,1,7,5] => 1101101 => 1011011 => 0100100
[7,3,8,4,2,6,1,5] => 1011010 => 0101101 => 1010010
[8,3,1,2,5,6,7,4] => 1100001 => 1000011 => 0111100
[3,1,8,2,5,6,7,4] => 1010001 => 1000101 => 0111010
[2,3,8,1,5,6,7,4] => 0010001 => 1000100 => 0111011
[4,3,8,2,5,6,7,1] => 1010001 => 1000101 => 0111010
[4,8,2,3,5,6,7,1] => 0100001 => 1000010 => 0111101
[3,8,2,1,5,6,7,4] => 0110001 => 1000110 => 0111001
[2,8,1,3,5,6,7,4] => 0100001 => 1000010 => 0111101
[8,1,2,3,5,6,7,4] => 1000001 => 1000001 => 0111110
[7,8,2,4,3,6,1,5] => 0101010 => 0101010 => 1010101
[6,8,3,2,4,1,7,5] => 0110101 => 1010110 => 0101001
[2,1,8,3,4,6,7,5] => 1010001 => 1000101 => 0111010
[2,1,7,8,5,4,3,6] => 1001110 => 0111001 => 1000110
[5,7,3,8,1,4,2,6] => 0101010 => 0101010 => 1010101
[7,1,8,4,5,3,2,6] => 1010110 => 0110101 => 1001010
[2,7,8,4,5,3,1,6] => 0010110 => 0110100 => 1001011
[8,7,1,4,3,6,2,5] => 1101010 => 0101011 => 1010100
[3,8,7,4,2,6,1,5] => 0111010 => 0101110 => 1010001
[5,7,8,4,3,6,2,1] => 0011011 => 1101100 => 0010011
[5,6,3,8,4,2,7,1] => 0101101 => 1011010 => 0100101
[4,8,3,6,2,1,7,5] => 0101101 => 1011010 => 0100101
[8,6,3,1,4,2,7,5] => 1110101 => 1010111 => 0101000
[7,5,3,8,2,4,1,6] => 1101010 => 0101011 => 1010100
[2,4,3,1,8,5,7,6] => 0110101 => 1010110 => 0101001
[4,1,3,2,6,8,7,5] => 1010011 => 1100101 => 0011010
[7,5,3,6,2,8,1,4] => 1101010 => 0101011 => 1010100
[8,6,3,5,1,2,7,4] => 1101001 => 1001011 => 0110100
[5,8,3,2,6,1,7,4] => 0110101 => 1010110 => 0101001
[4,5,3,8,6,2,7,1] => 0101101 => 1011010 => 0100101
[3,5,8,4,7,6,2,1] => 0010111 => 1110100 => 0001011
[5,8,2,4,7,6,1,3] => 0100110 => 0110010 => 1001101
[8,7,5,4,1,6,2,3] => 1111010 => 0101111 => 1010000
[2,7,6,4,5,8,1,3] => 0110010 => 0100110 => 1011001
[7,1,6,4,5,8,2,3] => 1010010 => 0100101 => 1011010
[5,7,3,6,1,8,2,4] => 0101010 => 0101010 => 1010101
[2,1,7,6,5,8,3,4] => 1011010 => 0101101 => 1010010
[2,1,8,5,3,6,7,4] => 1011001 => 1001101 => 0110010
[6,8,3,5,2,1,7,4] => 0101101 => 1011010 => 0100101
[7,8,5,4,2,6,1,3] => 0111010 => 0101110 => 1010001
[8,1,4,2,5,6,7,3] => 1010001 => 1000101 => 0111010
[2,8,4,1,5,6,7,3] => 0110001 => 1000110 => 0111001
[4,8,1,2,5,6,7,3] => 0100001 => 1000010 => 0111101
[3,4,8,1,5,6,7,2] => 0010001 => 1000100 => 0111011
[3,4,2,8,5,6,7,1] => 0101001 => 1001010 => 0110101
[2,4,1,8,5,6,7,3] => 0101001 => 1001010 => 0110101
[4,1,2,8,5,6,7,3] => 1001001 => 1001001 => 0110110
[8,4,2,1,5,6,7,3] => 1110001 => 1000111 => 0111000
[7,5,2,4,8,6,1,3] => 1100110 => 0110011 => 1001100
[6,5,3,2,8,1,7,4] => 1110101 => 1010111 => 0101000
[2,1,5,3,8,6,7,4] => 1010101 => 1010101 => 0101010
[6,4,3,5,8,1,7,2] => 1100101 => 1010011 => 0101100
[7,3,5,4,8,6,1,2] => 1010110 => 0110101 => 1001010
[8,3,4,1,5,6,7,2] => 1010001 => 1000101 => 0111010
[4,3,1,8,5,6,7,2] => 1101001 => 1001011 => 0110100
[3,1,4,8,5,6,7,2] => 1001001 => 1001001 => 0110110
[6,5,3,7,2,8,4,1] => 1101011 => 1101011 => 0010100
[6,3,7,4,5,8,2,1] => 1010011 => 1100101 => 0011010
[6,7,2,4,5,8,3,1] => 0100011 => 1100010 => 0011101
[5,1,7,4,8,6,3,2] => 1010111 => 1110101 => 0001010
[2,5,7,4,8,6,3,1] => 0010111 => 1110100 => 0001011
[5,6,3,7,1,8,4,2] => 0101011 => 1101010 => 0010101
[3,8,7,4,5,2,1,6] => 0110110 => 0110110 => 1001001
[3,7,5,4,8,6,2,1] => 0110111 => 1110110 => 0001001
[5,7,1,4,8,6,2,3] => 0100110 => 0110010 => 1001101
[5,6,3,1,8,2,7,4] => 0110101 => 1010110 => 0101001
[4,6,3,5,8,2,7,1] => 0100101 => 1010010 => 0101101
[4,6,3,8,1,2,7,5] => 0101001 => 1001010 => 0110101
[3,7,8,4,1,6,2,5] => 0011010 => 0101100 => 1010011
[3,2,5,1,6,8,4,7] => 1010010 => 0100101 => 1011010
[3,6,2,5,4,8,1,7] => 0101010 => 0101010 => 1010101
[3,5,2,4,7,1,8,6] => 0100101 => 1010010 => 0101101
[3,5,8,2,4,7,6,1] => 0010011 => 1100100 => 0011011
[4,2,5,8,3,7,6,1] => 1001011 => 1101001 => 0010110
[4,2,6,5,3,8,1,7] => 1011010 => 0101101 => 1010010
[5,4,2,1,6,8,3,7] => 1110010 => 0100111 => 1011000
[6,3,5,1,4,8,2,7] => 1010010 => 0100101 => 1011010
[4,6,1,5,3,8,2,7] => 0101010 => 0101010 => 1010101
[5,1,6,4,3,8,2,7] => 1011010 => 0101101 => 1010010
[5,4,3,2,7,1,8,6] => 1110101 => 1010111 => 0101000
[5,4,3,8,2,7,6,1] => 1101011 => 1101011 => 0010100
[4,3,6,2,8,7,5,1] => 1010111 => 1110101 => 0001010
[4,3,7,6,2,1,8,5] => 1011101 => 1011101 => 0100010
[6,4,3,1,7,2,8,5] => 1110101 => 1010111 => 0101000
[7,5,4,3,1,8,2,6] => 1111010 => 0101111 => 1010000
[1,4,7,5,8,3,2,6] => 0010110 => 0110100 => 1001011
[7,1,3,5,8,4,2,6] => 1000110 => 0110001 => 1001110
[7,2,5,8,4,1,3,6] => 1001100 => 0011001 => 1100110
[2,8,5,7,4,6,1,3] => 0101010 => 0101010 => 1010101
[3,5,8,7,1,4,6,2] => 0011001 => 1001100 => 0110011
[1,4,5,8,7,3,6,2] => 0001101 => 1011000 => 0100111
[1,5,4,8,7,3,6,2] => 0101101 => 1011010 => 0100101
[6,4,3,8,1,7,5,2] => 1101011 => 1101011 => 0010100
[4,3,7,1,8,6,5,2] => 1010111 => 1110101 => 0001010
[4,8,3,7,6,5,2,1] => 0101111 => 1111010 => 0000101
[5,3,8,7,6,4,2,1] => 1011111 => 1111101 => 0000010
[7,5,3,1,8,6,4,2] => 1110111 => 1110111 => 0001000
[1,8,6,5,3,7,4,2] => 0111011 => 1101110 => 0010001
[1,5,8,6,3,7,4,2] => 0011011 => 1101100 => 0010011
[4,6,1,8,7,3,5,2] => 0101101 => 1011010 => 0100101
[6,8,7,3,1,4,5,2] => 0111001 => 1001110 => 0110001
[6,2,8,7,4,5,1,3] => 1011010 => 0101101 => 1010010
[7,6,2,8,4,1,3,5] => 1101100 => 0011011 => 1100100
[7,3,1,6,8,4,2,5] => 1100110 => 0110011 => 1001100
[1,7,6,4,8,3,2,5] => 0110110 => 0110110 => 1001001
[5,7,1,6,3,2,8,4] => 0101101 => 1011010 => 0100101
[6,1,7,5,3,2,8,4] => 1011101 => 1011101 => 0100010
[7,6,5,3,2,1,8,4] => 1111101 => 1011111 => 0100000
[6,5,3,2,8,7,4,1] => 1110111 => 1110111 => 0001000
[5,2,6,3,8,7,4,1] => 1010111 => 1110101 => 0001010
[5,2,7,6,3,1,8,4] => 1011101 => 1011101 => 0100010
[6,5,2,1,7,3,8,4] => 1110101 => 1010111 => 0101000
[5,2,7,4,1,8,3,6] => 1011010 => 0101101 => 1010010
[4,7,2,6,3,1,8,5] => 0101101 => 1011010 => 0100101
[2,4,8,6,3,7,5,1] => 0011011 => 1101100 => 0010011
[3,8,6,2,4,7,5,1] => 0110011 => 1100110 => 0011001
[7,3,6,2,4,1,8,5] => 1010101 => 1010101 => 0101010
[3,6,7,2,1,4,8,5] => 0011001 => 1001100 => 0110011
[4,3,7,8,2,1,5,6] => 1001100 => 0011001 => 1100110
[8,3,7,1,4,6,2,5] => 1010010 => 0100101 => 1011010
[3,8,2,5,7,1,6,4] => 0100101 => 1010010 => 0101101
[8,3,6,2,7,1,5,4] => 1010101 => 1010101 => 0101010
[7,8,3,6,2,1,5,4] => 0101101 => 1011010 => 0100101
[8,7,3,6,2,5,4,1] => 1101011 => 1101011 => 0010100
[4,7,8,2,1,6,5,3] => 0011011 => 1101100 => 0010011
[4,2,6,8,1,7,5,3] => 1001011 => 1101001 => 0010110
[5,4,8,2,7,1,6,3] => 1010101 => 1010101 => 0101010
[4,8,1,5,7,2,6,3] => 0100101 => 1010010 => 0101101
[5,8,3,7,1,6,2,4] => 0101010 => 0101010 => 1010101
[5,8,7,2,6,1,3,4] => 0110100 => 0010110 => 1101001
[8,6,2,7,5,1,3,4] => 1101100 => 0011011 => 1100100
[3,6,8,1,7,5,2,4] => 0010110 => 0110100 => 1001011
[5,1,6,8,2,7,4,3] => 1001011 => 1101001 => 0010110
[6,5,2,8,1,7,4,3] => 1101011 => 1101011 => 0010100
[5,2,7,1,8,6,4,3] => 1010111 => 1110101 => 0001010
[5,8,2,7,6,4,3,1] => 0101111 => 1111010 => 0000101
[6,2,8,7,5,4,3,1] => 1011111 => 1111101 => 0000010
[7,6,2,1,8,5,4,3] => 1110111 => 1110111 => 0001000
[6,1,7,2,8,5,4,3] => 1010111 => 1110101 => 0001010
[7,5,1,8,2,6,4,3] => 1101011 => 1101011 => 0010100
[4,7,1,8,6,2,5,3] => 0101101 => 1011010 => 0100101
[7,8,3,1,6,5,2,4] => 0110110 => 0110110 => 1001001
[8,7,4,6,1,5,3,2] => 1101011 => 1101011 => 0010100
[8,5,7,1,6,4,3,2] => 1010111 => 1110101 => 0001010
[6,8,1,7,5,4,3,2] => 0101111 => 1111010 => 0000101
[7,1,8,6,5,4,3,2] => 1011111 => 1111101 => 0000010
[5,4,2,3,7,6,1,8] => 1100110 => 0110011 => 1001100
[6,4,2,7,3,5,1,8] => 1101010 => 0101011 => 1010100
[7,4,2,6,3,5,1,8] => 1101010 => 0101011 => 1010100
[8,4,2,6,3,1,5,7] => 1101100 => 0011011 => 1100100
[3,2,7,6,4,5,1,8] => 1011010 => 0101101 => 1010010
[4,7,2,6,3,5,1,8] => 0101010 => 0101010 => 1010101
[5,7,6,2,3,4,1,8] => 0110010 => 0100110 => 1011001
[1,6,5,2,3,8,4,7] => 0110010 => 0100110 => 1011001
[1,7,5,2,8,3,4,6] => 0110100 => 0010110 => 1101001
[6,8,5,2,3,1,4,7] => 0110100 => 0010110 => 1101001
[5,8,6,2,3,1,4,7] => 0110100 => 0010110 => 1101001
[4,8,2,6,3,1,5,7] => 0101100 => 0011010 => 1100101
[3,2,8,6,4,1,5,7] => 1011100 => 0011101 => 1100010
[3,2,1,6,4,8,5,7] => 1101010 => 0101011 => 1010100
[7,1,5,2,8,3,4,6] => 1010100 => 0010101 => 1101010
[1,8,5,2,7,3,4,6] => 0110100 => 0010110 => 1101001
[1,8,6,7,2,3,4,5] => 0101000 => 0001010 => 1110101
[8,1,6,7,2,3,4,5] => 1001000 => 0001001 => 1110110
[7,1,6,8,2,3,4,5] => 1001000 => 0001001 => 1110110
[3,2,1,7,8,4,5,6] => 1100100 => 0010011 => 1101100
[3,2,8,7,1,4,5,6] => 1011000 => 0001101 => 1110010
[5,8,7,2,1,3,4,6] => 0111000 => 0001110 => 1110001
[1,7,6,8,2,3,4,5] => 0101000 => 0001010 => 1110101
[6,5,8,2,3,1,4,7] => 1010100 => 0010101 => 1101010
[8,5,7,2,1,3,4,6] => 1011000 => 0001101 => 1110010
[6,4,2,8,3,1,5,7] => 1101100 => 0011011 => 1100100
[5,4,2,3,8,1,6,7] => 1100100 => 0010011 => 1101100
[3,2,5,4,1,8,6,7] => 1011010 => 0101101 => 1010010
[4,5,2,3,1,8,6,7] => 0101010 => 0101010 => 1010101
[5,4,2,3,1,8,6,7] => 1101010 => 0101011 => 1010100
[6,4,2,1,3,8,5,7] => 1110010 => 0100111 => 1011000
[7,4,2,1,8,3,5,6] => 1110100 => 0010111 => 1101000
[8,4,2,1,7,3,5,6] => 1110100 => 0010111 => 1101000
[1,4,2,8,7,3,5,6] => 0101100 => 0011010 => 1100101
[1,5,8,2,7,3,4,6] => 0010100 => 0010100 => 1101011
[8,5,1,2,7,3,4,6] => 1100100 => 0010011 => 1101100
[7,5,1,2,8,3,4,6] => 1100100 => 0010011 => 1101100
[6,5,1,2,3,8,4,7] => 1100010 => 0100011 => 1011100
[4,6,2,1,3,8,5,7] => 0110010 => 0100110 => 1011001
[3,2,6,1,4,8,5,7] => 1010010 => 0100101 => 1011010
[3,2,7,1,8,4,5,6] => 1010100 => 0010101 => 1101010
[4,7,2,1,8,3,5,6] => 0110100 => 0010110 => 1101001
[7,6,1,8,2,3,4,5] => 1101000 => 0001011 => 1110100
[8,6,1,7,2,3,4,5] => 1101000 => 0001011 => 1110100
[1,6,8,7,2,3,4,5] => 0011000 => 0001100 => 1110011
[1,7,8,6,2,3,4,5] => 0011000 => 0001100 => 1110011
[7,8,1,6,2,3,4,5] => 0101000 => 0001010 => 1110101
[6,8,1,7,2,3,4,5] => 0101000 => 0001010 => 1110101
[4,8,2,1,7,3,5,6] => 0110100 => 0010110 => 1101001
[3,2,8,1,7,4,5,6] => 1010100 => 0010101 => 1101010
[3,2,1,8,7,4,5,6] => 1101100 => 0011011 => 1100100
[5,1,8,2,7,3,4,6] => 1010100 => 0010101 => 1101010
[6,1,8,7,2,3,4,5] => 1011000 => 0001101 => 1110010
[8,1,7,6,2,3,4,5] => 1011000 => 0001101 => 1110010
[1,8,7,6,2,3,4,5] => 0111000 => 0001110 => 1110001
[6,3,5,1,2,4,8,7] => 1010001 => 1000101 => 0111010
[4,3,5,6,1,2,8,7] => 1001001 => 1001001 => 0110110
[8,3,7,5,2,1,4,6] => 1011100 => 0011101 => 1100010
[6,3,7,5,1,8,4,2] => 1011011 => 1101101 => 0010010
[6,5,2,7,1,8,3,4] => 1101010 => 0101011 => 1010100
[8,5,2,7,4,1,3,6] => 1101100 => 0011011 => 1100100
[2,6,1,5,4,3,8,7] => 0101101 => 1011010 => 0100101
[6,4,3,5,1,2,8,7] => 1101001 => 1001011 => 0110100
[5,3,1,4,6,2,8,7] => 1100101 => 1010011 => 0101100
[3,1,4,6,5,2,8,7] => 1001101 => 1011001 => 0100110
[5,7,4,6,2,8,3,1] => 0101011 => 1101010 => 0010101
[8,1,4,7,2,6,3,5] => 1001010 => 0101001 => 1010110
[3,4,7,8,5,2,1,6] => 0001110 => 0111000 => 1000111
[2,1,8,5,7,3,4,6] => 1010100 => 0010101 => 1101010
[8,6,3,5,1,7,4,2] => 1101011 => 1101011 => 0010100
[5,8,2,4,6,7,3,1] => 0100011 => 1100010 => 0011101
[3,4,8,6,5,7,1,2] => 0011010 => 0101100 => 1010011
[7,5,4,8,1,6,3,2] => 1101011 => 1101011 => 0010100
[5,1,4,6,8,2,7,3] => 1000101 => 1010001 => 0101110
[2,5,4,6,7,1,8,3] => 0100101 => 1010010 => 0101101
[2,4,6,3,7,5,8,1] => 0010101 => 1010100 => 0101011
[4,1,6,3,8,5,7,2] => 1010101 => 1010101 => 0101010
[3,7,4,2,8,6,5,1] => 0110111 => 1110110 => 0001001
[7,4,1,3,5,8,6,2] => 1100011 => 1100011 => 0011100
[6,5,8,4,1,7,3,2] => 1011011 => 1101101 => 0010010
[8,5,3,7,4,1,6,2] => 1101101 => 1011011 => 0100100
[2,1,4,8,3,7,6,5] => 1001011 => 1101001 => 0010110
[7,4,3,8,2,1,6,5] => 1101101 => 1011011 => 0100100
[6,3,7,4,1,8,2,5] => 1011010 => 0101101 => 1010010
[8,3,1,2,5,7,6,4] => 1100011 => 1100011 => 0011100
[3,1,8,2,7,6,5,4] => 1010111 => 1110101 => 0001010
[2,3,8,1,6,7,5,4] => 0010011 => 1100100 => 0011011
[4,3,7,2,6,8,5,1] => 1010011 => 1100101 => 0011010
[4,7,2,3,8,5,6,1] => 0100101 => 1010010 => 0101101
[3,8,2,1,7,5,6,4] => 0110101 => 1010110 => 0101001
[2,8,1,3,6,5,7,4] => 0100101 => 1010010 => 0101101
[2,7,8,5,4,3,1,6] => 0011110 => 0111100 => 1000011
[8,7,1,6,3,4,2,5] => 1101010 => 0101011 => 1010100
[3,8,6,7,2,4,1,5] => 0101010 => 0101010 => 1010101
[5,3,8,7,4,2,6,1] => 1011101 => 1011101 => 0100010
[4,3,8,7,2,1,6,5] => 1011101 => 1011101 => 0100010
[8,3,6,1,4,2,7,5] => 1010101 => 1010101 => 0101010
[7,3,5,8,2,4,1,6] => 1001010 => 0101001 => 1010110
[2,3,4,1,8,5,7,6] => 0010101 => 1010100 => 0101011
[4,1,3,2,6,7,8,5] => 1010001 => 1000101 => 0111010
[8,3,5,6,2,7,1,4] => 1001010 => 0101001 => 1010110
[5,3,6,1,8,7,2,4] => 1010110 => 0110101 => 1001010
[5,6,2,8,7,4,1,3] => 0101110 => 0111010 => 1000101
[7,8,5,6,1,4,2,3] => 0101010 => 0101010 => 1010101
[2,8,6,5,4,7,1,3] => 0111010 => 0101110 => 1010001
[8,1,6,4,5,7,2,3] => 1010010 => 0100101 => 1011010
[5,8,3,6,1,7,2,4] => 0101010 => 0101010 => 1010101
[2,1,8,6,5,7,3,4] => 1011010 => 0101101 => 1010010
[2,1,7,5,3,6,8,4] => 1011001 => 1001101 => 0110010
[6,7,3,5,2,1,8,4] => 0101101 => 1011010 => 0100101
[7,1,4,2,5,6,8,3] => 1010001 => 1000101 => 0111010
[2,7,4,1,6,5,8,3] => 0110101 => 1010110 => 0101001
[4,6,1,2,8,7,3,5] => 0100110 => 0110010 => 1001101
[2,4,1,5,8,7,6,3] => 0100111 => 1110010 => 0001101
[4,1,2,5,8,6,7,3] => 1000101 => 1010001 => 0101110
[6,4,2,1,5,8,7,3] => 1110011 => 1100111 => 0011000
[8,5,2,4,6,1,7,3] => 1100101 => 1010011 => 0101100
[7,5,3,2,6,8,1,4] => 1110010 => 0100111 => 1011000
[2,1,5,3,6,8,7,4] => 1010011 => 1100101 => 0011010
[7,3,5,4,6,1,8,2] => 1010101 => 1010101 => 0101010
[6,3,4,1,5,7,8,2] => 1010001 => 1000101 => 0111010
[4,3,1,5,7,6,8,2] => 1100101 => 1010011 => 0101100
[3,1,4,5,6,8,7,2] => 1000011 => 1100001 => 0011110
[4,5,2,6,3,1,8,7] => 0101101 => 1011010 => 0100101
[6,5,2,1,4,3,8,7] => 1110101 => 1010111 => 0101000
[6,5,2,7,4,8,3,1] => 1101011 => 1101011 => 0010100
[8,5,2,7,4,1,6,3] => 1101101 => 1011011 => 0100100
[8,3,7,5,2,1,6,4] => 1011101 => 1011101 => 0100010
[6,3,7,5,2,8,4,1] => 1011011 => 1101101 => 0010010
[3,1,6,5,4,2,8,7] => 1011101 => 1011101 => 0100010
[5,6,3,2,4,1,8,7] => 0110101 => 1010110 => 0101001
[3,6,2,4,1,5,8,7] => 0101001 => 1001010 => 0110101
[2,6,1,3,5,4,8,7] => 0100101 => 1010010 => 0101101
[6,7,2,3,4,8,5,1] => 0100011 => 1100010 => 0011101
[8,7,2,3,4,1,6,5] => 1100101 => 1010011 => 0101100
[5,1,7,3,8,4,6,2] => 1010101 => 1010101 => 0101010
[2,5,7,3,8,6,4,1] => 0010111 => 1110100 => 0001011
[7,6,1,3,5,8,4,2] => 1100011 => 1100011 => 0011100
[3,6,7,4,1,8,5,2] => 0011011 => 1101100 => 0010011
[5,6,3,7,4,8,1,2] => 0101010 => 0101010 => 1010101
[2,1,6,7,4,8,5,3] => 1001011 => 1101001 => 0010110
[2,1,8,7,4,3,6,5] => 1011101 => 1011101 => 0100010
[5,8,3,7,4,2,6,1] => 0101101 => 1011010 => 0100101
[3,8,7,4,1,2,6,5] => 0111001 => 1001110 => 0110001
[7,8,1,3,5,2,6,4] => 0100101 => 1010010 => 0101101
[5,8,7,3,2,6,1,4] => 0111010 => 0101110 => 1010001
[2,8,6,3,1,5,7,4] => 0111001 => 1001110 => 0110001
[8,1,6,3,2,5,4,7] => 1011010 => 0101101 => 1010010
[2,8,4,1,6,3,7,5] => 0110101 => 1010110 => 0101001
[4,8,1,2,7,6,3,5] => 0100110 => 0110010 => 1001101
[3,8,4,2,5,7,1,6] => 0110010 => 0100110 => 1011001
[6,8,3,5,2,7,4,1] => 0101011 => 1101010 => 0010101
[2,1,5,3,8,7,6,4] => 1010111 => 1110101 => 0001010
[6,5,3,2,8,7,1,4] => 1110110 => 0110111 => 1001000
[7,5,2,4,8,1,6,3] => 1100101 => 1010011 => 0101100
[3,4,2,8,5,7,6,1] => 0101011 => 1101010 => 0010101
[2,4,1,8,7,6,5,3] => 0101111 => 1111010 => 0000101
[8,4,2,1,7,5,3,6] => 1110110 => 0110111 => 1001000
[4,3,1,8,6,7,5,2] => 1101011 => 1101011 => 0010100
[3,1,4,8,6,5,7,2] => 1001101 => 1011001 => 0100110
[7,1,6,5,4,8,2,3] => 1011010 => 0101101 => 1010010
[3,7,5,6,8,4,2,1] => 0100111 => 1110010 => 0001101
[5,7,1,6,8,2,4,3] => 0100101 => 1010010 => 0101101
[8,6,2,5,1,7,4,3] => 1101011 => 1101011 => 0010100
[5,6,2,1,8,7,3,4] => 0110110 => 0110110 => 1001001
[4,6,2,5,8,3,7,1] => 0100101 => 1010010 => 0101101
[7,5,2,6,3,8,1,4] => 1101010 => 0101011 => 1010100
[4,1,2,3,6,8,7,5] => 1000011 => 1100001 => 0011110
[2,4,3,1,8,5,6,7] => 0110100 => 0010110 => 1101001
[7,5,2,8,3,4,6,1] => 1101001 => 1001011 => 0110100
[5,6,2,8,4,3,1,7] => 0101110 => 0111010 => 1000101
[4,7,2,8,1,5,3,6] => 0101010 => 0101010 => 1010101
[8,7,2,1,4,5,6,3] => 1110001 => 1000111 => 0111000
[3,6,8,7,1,5,4,2] => 0011011 => 1101100 => 0010011
[5,7,8,6,3,4,1,2] => 0011010 => 0101100 => 1010011
[7,1,8,5,4,3,6,2] => 1011101 => 1011101 => 0100010
[2,7,8,4,5,3,6,1] => 0010101 => 1010100 => 0101011
[5,7,3,8,1,4,6,2] => 0101001 => 1001010 => 0110101
[2,1,7,8,5,4,6,3] => 1001101 => 1011001 => 0100110
[2,1,5,8,4,6,3,7] => 1001010 => 0101001 => 1010110
[6,5,3,8,4,1,2,7] => 1101100 => 0011011 => 1100100
[7,5,8,4,3,6,2,1] => 1011011 => 1101101 => 0010010
[2,4,8,3,5,6,1,7] => 0010010 => 0100100 => 1011011
[4,1,8,3,6,5,2,7] => 1010110 => 0110101 => 1001010
[3,4,8,1,7,2,5,6] => 0010100 => 0010100 => 1101011
[8,4,1,3,7,2,6,5] => 1100101 => 1010011 => 0101100
[3,1,8,2,4,7,6,5] => 1010011 => 1100101 => 0011010
[2,3,8,1,4,6,7,5] => 0010001 => 1000100 => 0111011
[4,3,8,2,5,1,7,6] => 1010101 => 1010101 => 0101010
[6,3,8,4,2,5,7,1] => 1011001 => 1001101 => 0110010
[7,4,3,8,2,5,1,6] => 1101010 => 0101011 => 1010100
[2,1,4,8,3,5,7,6] => 1001001 => 1001001 => 0110110
[6,8,2,4,3,5,1,7] => 0101010 => 0101010 => 1010101
[4,8,2,3,5,1,6,7] => 0100100 => 0010010 => 1101101
[3,8,2,1,4,6,5,7] => 0110010 => 0100110 => 1011001
[2,8,1,3,4,5,7,6] => 0100001 => 1000010 => 0111101
[2,8,4,1,6,5,3,7] => 0110110 => 0110110 => 1001001
[2,8,4,1,6,5,7,3] => 0110101 => 1010110 => 0101001
[2,8,7,6,1,4,3,5] => 0111010 => 0101110 => 1010001
[2,8,5,6,7,4,3,1] => 0100111 => 1110010 => 0001101
[7,5,8,6,1,4,2,3] => 1011010 => 0101101 => 1010010
[3,5,7,6,1,4,2,8] => 0011010 => 0101100 => 1010011
[3,5,7,2,4,1,6,8] => 0010100 => 0010100 => 1101011
[7,5,8,2,4,1,6,3] => 1010101 => 1010101 => 0101010
[2,8,5,3,4,7,6,1] => 0110011 => 1100110 => 0011001
[2,8,5,3,4,1,7,6] => 0110101 => 1010110 => 0101001
[2,8,5,3,4,1,6,7] => 0110100 => 0010110 => 1101001
[2,8,7,6,1,4,5,3] => 0111001 => 1001110 => 0110001
[2,8,5,3,6,1,7,4] => 0110101 => 1010110 => 0101001
[2,8,5,6,7,4,1,3] => 0100110 => 0110010 => 1001101
[2,8,5,3,4,7,1,6] => 0110010 => 0100110 => 1011001
[2,8,5,3,4,6,1,7] => 0110010 => 0100110 => 1011001
[2,8,5,3,4,6,7,1] => 0110001 => 1000110 => 0111001
[3,5,7,2,4,6,1,8] => 0010010 => 0100100 => 1011011
[6,5,2,7,3,1,4,8] => 1101100 => 0011011 => 1100100
[6,5,2,8,3,1,7,4] => 1101101 => 1011011 => 0100100
[6,5,2,8,3,1,4,7] => 1101100 => 0011011 => 1100100
[7,5,8,2,4,6,3,1] => 1010011 => 1100101 => 0011010
[7,5,8,6,1,4,3,2] => 1011011 => 1101101 => 0010010
[6,5,8,2,1,3,7,4] => 1011001 => 1001101 => 0110010
[3,5,6,2,1,8,7,4] => 0011011 => 1101100 => 0010011
[3,5,7,6,1,4,8,2] => 0011001 => 1001100 => 0110011
[3,5,7,2,4,1,8,6] => 0010101 => 1010100 => 0101011
[3,5,7,2,4,6,8,1] => 0010001 => 1000100 => 0111011
[6,5,2,7,3,1,8,4] => 1101101 => 1011011 => 0100100
[4,5,2,6,3,1,7,8] => 0101100 => 0011010 => 1100101
[4,1,2,3,7,6,8,5] => 1000101 => 1010001 => 0101110
[6,5,2,7,3,4,8,1] => 1101001 => 1001011 => 0110100
[5,1,6,7,4,3,8,2] => 1001101 => 1011001 => 0100110
[5,1,2,6,4,8,7,3] => 1001011 => 1101001 => 0010110
[5,1,2,8,6,4,7,3] => 1001101 => 1011001 => 0100110
[5,1,6,8,7,3,4,2] => 1001101 => 1011001 => 0100110
[6,5,2,8,3,7,4,1] => 1101011 => 1101011 => 0010100
[4,1,2,3,8,7,5,6] => 1000110 => 0110001 => 1001110
[4,1,2,3,8,6,5,7] => 1000110 => 0110001 => 1001110
[4,1,2,3,8,6,7,5] => 1000101 => 1010001 => 0101110
[4,1,2,3,7,6,5,8] => 1000110 => 0110001 => 1001110
[4,1,2,3,8,5,7,6] => 1000101 => 1010001 => 0101110
[7,1,6,8,4,3,5,2] => 1001101 => 1011001 => 0100110
[6,1,2,8,4,5,7,3] => 1001001 => 1001001 => 0110110
[5,6,8,2,3,1,7,4] => 0010101 => 1010100 => 0101011
[6,5,8,2,4,3,1,7] => 1010110 => 0110101 => 1001010
[6,5,8,2,4,3,7,1] => 1010101 => 1010101 => 0101010
[7,5,2,8,3,4,1,6] => 1101010 => 0101011 => 1010100
[6,5,2,8,3,7,1,4] => 1101010 => 0101011 => 1010100
[6,5,2,7,3,4,1,8] => 1101010 => 0101011 => 1010100
[5,1,6,7,4,3,2,8] => 1001110 => 0111001 => 1000110
[5,1,6,8,7,3,2,4] => 1001110 => 0111001 => 1000110
[7,1,6,8,4,3,2,5] => 1001110 => 0111001 => 1000110
[5,7,8,6,3,4,2,1] => 0011011 => 1101100 => 0010011
[4,1,8,3,6,5,7,2] => 1010101 => 1010101 => 0101010
[4,1,8,3,6,2,7,5] => 1010101 => 1010101 => 0101010
[3,1,4,8,6,2,7,5] => 1001101 => 1011001 => 0100110
[3,1,4,8,6,5,2,7] => 1001110 => 0111001 => 1000110
[7,1,6,5,8,3,2,4] => 1010110 => 0110101 => 1001010
[4,1,6,7,8,3,2,5] => 1000110 => 0110001 => 1001110
[4,1,6,5,7,3,2,8] => 1010110 => 0110101 => 1001010
[4,5,2,6,3,7,1,8] => 0101010 => 0101010 => 1010101
[4,5,2,7,3,8,1,6] => 0101010 => 0101010 => 1010101
[3,5,6,2,4,8,7,1] => 0010011 => 1100100 => 0011011
[3,5,6,2,4,8,1,7] => 0010010 => 0100100 => 1011011
[3,7,5,6,8,4,1,2] => 0100110 => 0110010 => 1001101
[3,6,5,2,8,1,7,4] => 0110101 => 1010110 => 0101001
[6,1,2,5,8,4,7,3] => 1000101 => 1010001 => 0101110
[7,1,6,5,8,3,4,2] => 1010101 => 1010101 => 0101010
[7,5,2,6,3,8,4,1] => 1101011 => 1101011 => 0010100
[4,1,2,3,5,8,7,6] => 1000011 => 1100001 => 0011110
[4,1,2,3,7,8,6,5] => 1000011 => 1100001 => 0011110
[4,5,2,7,3,8,6,1] => 0101011 => 1101010 => 0010101
[4,1,6,7,8,3,5,2] => 1000101 => 1010001 => 0101110
[4,1,2,6,8,5,7,3] => 1000101 => 1010001 => 0101110
[4,1,2,5,6,8,7,3] => 1000011 => 1100001 => 0011110
[4,5,2,6,3,7,8,1] => 0101001 => 1001010 => 0110101
[7,8,5,6,1,4,3,2] => 0101011 => 1101010 => 0010101
[7,8,4,2,1,5,3,6] => 0111010 => 0101110 => 1010001
[7,8,2,1,6,5,3,4] => 0110110 => 0110110 => 1001001
[6,4,1,2,5,7,3,8] => 1100010 => 0100011 => 1011100
[2,4,8,1,5,7,3,6] => 0010010 => 0100100 => 1011011
[4,3,8,1,7,2,5,6] => 1010100 => 0010101 => 1101010
[6,3,1,4,7,2,5,8] => 1100100 => 0010011 => 1101100
[7,8,3,4,5,1,6,2] => 0100101 => 1010010 => 0101101
[7,8,3,5,4,2,1,6] => 0101110 => 0111010 => 1000101
[7,8,4,1,2,3,6,5] => 0110001 => 1000110 => 0111001
[7,8,3,6,5,4,1,2] => 0101110 => 0111010 => 1000101
[7,8,2,1,5,3,4,6] => 0110100 => 0010110 => 1101001
[7,8,2,6,4,1,3,5] => 0101100 => 0011010 => 1100101
[7,8,2,5,6,4,1,3] => 0100110 => 0110010 => 1001101
[7,8,1,6,5,4,3,2] => 0101111 => 1111010 => 0000101
[6,2,1,7,5,4,3,8] => 1101110 => 0111011 => 1000100
[2,1,8,7,5,4,3,6] => 1011110 => 0111101 => 1000010
[1,3,8,2,6,4,7,5] => 0010101 => 1010100 => 0101011
[5,3,7,1,6,4,8,2] => 1010101 => 1010101 => 0101010
[5,3,6,2,7,4,1,8] => 1010110 => 0110101 => 1001010
[6,1,2,5,8,7,4,3] => 1000111 => 1110001 => 0001110
[6,3,1,8,4,2,7,5] => 1101101 => 1011011 => 0100100
[6,4,2,1,5,3,8,7] => 1110101 => 1010111 => 0101000
[6,4,3,7,5,8,1,2] => 1101010 => 0101011 => 1010100
[4,3,8,7,5,6,1,2] => 1011010 => 0101101 => 1010010
[2,4,7,1,5,3,6,8] => 0010100 => 0010100 => 1101011
[1,3,7,6,4,2,8,5] => 0011101 => 1011100 => 0100011
[2,1,7,5,6,8,4,3] => 1010011 => 1100101 => 0011010
[3,7,2,8,6,4,1,5] => 0101110 => 0111010 => 1000101
[3,8,1,7,6,4,5,2] => 0101101 => 1011010 => 0100101
[1,8,5,7,3,6,4,2] => 0101011 => 1101010 => 0010101
[2,7,5,8,3,6,1,4] => 0101010 => 0101010 => 1010101
[1,5,6,8,2,4,7,3] => 0001001 => 1001000 => 0110111
[2,6,8,5,3,1,4,7] => 0011100 => 0011100 => 1100011
[2,6,1,4,7,3,5,8] => 0100100 => 0010010 => 1101101
[5,6,7,3,8,4,1,2] => 0010110 => 0110100 => 1001011
[5,2,8,1,4,7,3,6] => 1010010 => 0100101 => 1011010
[4,6,7,5,2,1,3,8] => 0011100 => 0011100 => 1100011
[4,5,6,7,2,8,1,3] => 0001010 => 0101000 => 1010111
[4,5,7,6,1,8,3,2] => 0011011 => 1101100 => 0010011
[1,5,8,6,2,7,3,4] => 0011010 => 0101100 => 1010011
[1,6,5,8,3,2,7,4] => 0101101 => 1011010 => 0100101
[4,6,5,7,1,2,8,3] => 0101001 => 1001010 => 0110101
[4,7,5,6,3,1,8,2] => 0101101 => 1011010 => 0100101
[5,1,6,3,4,2,8,7] => 1010101 => 1010101 => 0101010
[5,7,1,4,2,3,8,6] => 0101001 => 1001010 => 0110101
[5,7,6,4,3,8,1,2] => 0111010 => 0101110 => 1010001
[6,3,4,5,8,7,1,2] => 1000110 => 0110001 => 1001110
[6,2,4,1,8,3,7,5] => 1010101 => 1010101 => 0101010
[6,2,3,5,4,8,1,7] => 1001010 => 0101001 => 1010110
[6,1,3,4,5,8,7,2] => 1000011 => 1100001 => 0011110
[5,1,4,2,7,6,8,3] => 1010101 => 1010101 => 0101010
[1,6,2,4,7,8,3,5] => 0100010 => 0100010 => 1011101
[5,7,2,4,1,6,3,8] => 0101010 => 0101010 => 1010101
[6,1,4,2,8,5,3,7] => 1010110 => 0110101 => 1001010
[6,7,5,8,1,4,3,2] => 0101011 => 1101010 => 0010101
[5,8,7,6,3,4,1,2] => 0111010 => 0101110 => 1010001
[5,8,7,6,2,3,1,4] => 0111010 => 0101110 => 1010001
[4,1,7,2,6,5,3,8] => 1010110 => 0110101 => 1001010
[4,8,2,1,5,6,3,7] => 0110010 => 0100110 => 1011001
[4,2,7,8,1,6,3,5] => 1001010 => 0101001 => 1010110
[2,1,8,7,6,5,3,4] => 1011110 => 0111101 => 1000010
[3,1,4,7,8,2,6,5] => 1000101 => 1010001 => 0101110
[3,1,7,4,5,6,8,2] => 1010001 => 1000101 => 0111010
[4,2,7,1,6,3,8,5] => 1010101 => 1010101 => 0101010
[4,3,7,5,6,8,1,2] => 1010010 => 0100101 => 1011010
[4,8,6,3,5,7,1,2] => 0110010 => 0100110 => 1011001
[4,8,1,2,5,3,7,6] => 0100101 => 1010010 => 0101101
[3,8,6,5,2,4,1,7] => 0111010 => 0101110 => 1010001
[3,8,5,6,1,4,7,2] => 0101001 => 1001010 => 0110101
[5,3,7,8,2,1,6,4] => 1001101 => 1011001 => 0100110
[5,2,8,7,1,6,4,3] => 1011011 => 1101101 => 0010010
[1,6,8,7,5,2,4,3] => 0011101 => 1011100 => 0100011
[3,6,7,8,5,1,4,2] => 0001101 => 1011000 => 0100111
[3,7,6,8,5,2,1,4] => 0101110 => 0111010 => 1000101
[3,7,8,5,1,2,4,6] => 0011000 => 0001100 => 1110011
[3,7,1,6,4,2,5,8] => 0101100 => 0011010 => 1100101
[4,1,8,6,2,3,5,7] => 1011000 => 0001101 => 1110010
[4,7,8,6,3,5,1,2] => 0011010 => 0101100 => 1010011
[3,8,7,6,5,4,1,2] => 0111110 => 0111110 => 1000001
[2,1,7,6,5,3,4,8] => 1011100 => 0011101 => 1100010
[2,8,1,6,4,5,3,7] => 0101010 => 0101010 => 1010101
[2,8,7,5,1,4,3,6] => 0111010 => 0101110 => 1010001
[2,8,6,7,5,1,3,4] => 0101100 => 0011010 => 1100101
[2,7,8,6,5,4,1,3] => 0011110 => 0111100 => 1000011
[6,4,2,7,1,3,8,5] => 1101001 => 1001011 => 0110100
[7,4,2,5,1,3,8,6] => 1101001 => 1001011 => 0110100
[7,5,3,6,1,8,2,4] => 1101010 => 0101011 => 1010100
[8,5,3,6,1,7,2,4] => 1101010 => 0101011 => 1010100
[7,3,6,2,4,8,1,5] => 1010010 => 0100101 => 1011010
[4,3,7,1,2,5,8,6] => 1010001 => 1000101 => 0111010
[3,6,2,7,1,4,8,5] => 0101001 => 1001010 => 0110101
[5,3,6,7,1,2,8,4] => 1001001 => 1001001 => 0110110
[6,3,7,4,1,2,8,5] => 1011001 => 1001101 => 0110010
[4,7,1,5,2,3,8,6] => 0101001 => 1001010 => 0110101
[3,7,5,1,2,4,8,6] => 0110001 => 1000110 => 0111001
[7,6,4,2,3,8,1,5] => 1110010 => 0100111 => 1011000
[8,6,4,2,3,7,1,5] => 1110010 => 0100111 => 1011000
[4,7,6,3,8,1,2,5] => 0110100 => 0010110 => 1101001
[5,7,4,2,3,8,1,6] => 0110010 => 0100110 => 1011001
[3,7,6,1,4,8,2,5] => 0110010 => 0100110 => 1011001
[6,4,7,5,2,8,1,3] => 1011010 => 0101101 => 1010010
[7,4,8,5,2,6,1,3] => 1011010 => 0101101 => 1010010
[5,8,2,6,3,7,1,4] => 0101010 => 0101010 => 1010101
[3,8,6,2,4,7,1,5] => 0110010 => 0100110 => 1011001
[3,8,5,7,1,2,4,6] => 0101000 => 0001010 => 1110101
[2,8,5,7,1,3,4,6] => 0101000 => 0001010 => 1110101
[4,8,6,2,7,1,3,5] => 0110100 => 0010110 => 1101001
[2,6,5,8,1,3,4,7] => 0101000 => 0001010 => 1110101
[3,6,5,8,1,2,4,7] => 0101000 => 0001010 => 1110101
[2,5,7,4,8,1,3,6] => 0010100 => 0010100 => 1101011
[5,4,6,7,2,8,1,3] => 1001010 => 0101001 => 1010110
[3,5,7,1,4,8,2,6] => 0010010 => 0100100 => 1011011
[5,3,7,2,4,8,1,6] => 1010010 => 0100101 => 1011010
[5,4,7,3,8,1,2,6] => 1010100 => 0010101 => 1101010
[7,4,6,3,8,1,2,5] => 1010100 => 0010101 => 1101010
[8,4,6,3,7,1,2,5] => 1010100 => 0010101 => 1101010
[8,4,1,6,7,2,3,5] => 1100100 => 0010011 => 1101100
[7,4,1,6,8,2,3,5] => 1100100 => 0010011 => 1101100
[6,5,3,7,1,8,2,4] => 1101010 => 0101011 => 1010100
[6,5,1,2,7,8,3,4] => 1100010 => 0100011 => 1011100
[5,3,6,4,7,8,1,2] => 1010010 => 0100101 => 1011010
[6,3,7,4,8,5,1,2] => 1010110 => 0110101 => 1001010
[4,7,1,5,8,6,2,3] => 0100110 => 0110010 => 1001101
[7,5,1,2,8,6,3,4] => 1100110 => 0110011 => 1001100
[7,5,3,8,1,6,2,4] => 1101010 => 0101011 => 1010100
[7,6,1,8,5,2,3,4] => 1101100 => 0011011 => 1100100
[8,6,1,7,5,2,3,4] => 1101100 => 0011011 => 1100100
[5,7,2,8,1,6,3,4] => 0101010 => 0101010 => 1010101
[6,3,7,8,5,1,2,4] => 1001100 => 0011001 => 1100110
[3,6,8,2,7,1,4,5] => 0010100 => 0010100 => 1101011
[2,4,8,7,1,3,5,6] => 0011000 => 0001100 => 1110011
[4,3,8,7,1,2,5,6] => 1011000 => 0001101 => 1110010
[5,3,8,7,1,2,4,6] => 1011000 => 0001101 => 1110010
[8,3,7,6,1,2,4,5] => 1011000 => 0001101 => 1110010
[8,4,7,6,1,2,3,5] => 1011000 => 0001101 => 1110010
[5,4,8,7,1,2,3,6] => 1011000 => 0001101 => 1110010
[3,5,8,7,1,2,4,6] => 0011000 => 0001100 => 1110011
[2,5,8,7,1,3,4,6] => 0011000 => 0001100 => 1110011
[4,6,8,2,7,1,3,5] => 0010100 => 0010100 => 1101011
[6,8,4,7,5,1,2,3] => 0101100 => 0011010 => 1100101
[5,8,7,1,6,2,3,4] => 0110100 => 0010110 => 1101001
[2,8,7,6,1,3,4,5] => 0111000 => 0001110 => 1110001
[3,8,7,6,1,2,4,5] => 0111000 => 0001110 => 1110001
[4,8,7,6,1,2,3,5] => 0111000 => 0001110 => 1110001
[5,6,3,1,4,2,8,7] => 0110101 => 1010110 => 0101001
[7,5,3,8,2,1,6,4] => 1101101 => 1011011 => 0100100
[3,8,7,4,5,1,6,2] => 0110101 => 1010110 => 0101001
[6,7,1,4,5,8,2,3] => 0100010 => 0100010 => 1011101
[2,1,7,8,5,3,6,4] => 1001101 => 1011001 => 0100110
[5,7,3,8,1,2,6,4] => 0101001 => 1001010 => 0110101
[8,7,1,4,5,3,2,6] => 1100110 => 0110011 => 1001100
[2,7,8,4,1,6,5,3] => 0011011 => 1101100 => 0010011
[7,1,8,4,2,6,5,3] => 1011011 => 1101101 => 0010010
[7,5,1,4,8,6,3,2] => 1100111 => 1110011 => 0001100
[6,5,3,1,8,4,7,2] => 1110101 => 1010111 => 0101000
[6,4,3,8,1,5,7,2] => 1101001 => 1001011 => 0110100
[8,6,3,1,2,5,7,4] => 1110001 => 1000111 => 0111000
[8,7,1,4,2,6,5,3] => 1101011 => 1101011 => 0010100
[7,3,8,4,1,6,5,2] => 1011011 => 1101101 => 0010010
[2,3,4,5,6,7,8,1,9] => 00000010 => 01000000 => 10111111
[2,3,4,5,6,8,9,1,7] => 00000010 => 01000000 => 10111111
[2,3,4,5,7,8,9,1,6] => 00000010 => 01000000 => 10111111
[2,3,4,6,7,8,9,1,5] => 00000010 => 01000000 => 10111111
[2,3,5,6,7,8,9,1,4] => 00000010 => 01000000 => 10111111
[2,4,5,6,7,8,9,1,3] => 00000010 => 01000000 => 10111111
[3,4,5,6,7,8,9,1,2] => 00000010 => 01000000 => 10111111
[2,3,4,5,6,7,8,9,10,1] => 000000001 => 100000000 => 011111111
[2,3,4,5,6,7,8,9,1,10] => 000000010 => 010000000 => 101111111
[2,3,4,5,6,7,1,8,9] => 00000100 => 00100000 => 11011111
[2,3,4,5,6,7,8,10,1,9] => 000000010 => 010000000 => 101111111
[2,3,4,5,6,1,9,7,8] => 00001010 => 01010000 => 10101111
[2,3,4,5,6,7,9,10,1,8] => 000000010 => 010000000 => 101111111
[2,3,4,5,1,8,9,6,7] => 00010010 => 01001000 => 10110111
[2,3,4,5,6,8,9,10,1,7] => 000000010 => 010000000 => 101111111
[2,3,4,1,7,8,9,5,6] => 00100010 => 01000100 => 10111011
[2,3,4,5,7,8,9,10,1,6] => 000000010 => 010000000 => 101111111
[2,3,1,6,7,8,9,4,5] => 01000010 => 01000010 => 10111101
[2,3,4,6,7,8,9,10,1,5] => 000000010 => 010000000 => 101111111
[2,1,5,6,7,8,9,3,4] => 10000010 => 01000001 => 10111110
[2,3,5,6,7,8,9,10,1,4] => 000000010 => 010000000 => 101111111
[1,4,5,6,7,8,9,2,3] => 00000010 => 01000000 => 10111111
[2,4,5,6,7,8,9,10,1,3] => 000000010 => 010000000 => 101111111
[3,4,5,6,7,8,9,10,1,2] => 000000010 => 010000000 => 101111111
[3,6,4,5,7,2,8,1] => 0100101 => 1010010 => 0101101
[5,3,2,7,4,6,8,1] => 1101001 => 1001011 => 0110100
[7,5,3,6,2,4,8,1] => 1101001 => 1001011 => 0110100
[6,3,2,5,1,8,4,7] => 1101010 => 0101011 => 1010100
[8,5,3,6,2,7,1,4] => 1101010 => 0101011 => 1010100
[8,2,6,3,4,7,1,5] => 1010010 => 0100101 => 1011010
[7,2,6,3,4,5,8,1] => 1010001 => 1000101 => 0111010
[6,2,7,3,4,5,8,1] => 1010001 => 1000101 => 0111010
[4,2,5,7,3,6,8,1] => 1001001 => 1001001 => 0110110
[5,4,7,6,2,3,8,1] => 1011001 => 1001101 => 0110010
[6,7,3,5,2,4,8,1] => 0101001 => 1001010 => 0110101
[3,7,6,2,4,5,8,1] => 0110001 => 1000110 => 0111001
[2,7,6,3,4,5,8,1] => 0110001 => 1000110 => 0111001
[6,5,3,1,2,8,4,7] => 1110010 => 0100111 => 1011000
[8,6,5,2,3,7,1,4] => 1110010 => 0100111 => 1011000
[8,5,2,1,7,3,4,6] => 1110100 => 0010111 => 1101000
[7,5,2,1,8,3,4,6] => 1110100 => 0010111 => 1101000
[1,6,3,2,8,4,5,7] => 0110100 => 0010110 => 1101001
[5,6,2,3,1,8,4,7] => 0101010 => 0101010 => 1010101
[4,2,6,5,1,8,3,7] => 1011010 => 0101101 => 1010010
[5,4,8,6,2,7,1,3] => 1011010 => 0101101 => 1010010
[6,8,3,5,2,7,1,4] => 0101010 => 0101010 => 1010101
[7,8,5,2,3,6,1,4] => 0110010 => 0100110 => 1011001
[6,8,2,1,7,3,4,5] => 0110100 => 0010110 => 1101001
[1,8,6,3,7,2,4,5] => 0110100 => 0010110 => 1101001
[1,8,2,7,3,4,5,6] => 0101000 => 0001010 => 1110101
[2,8,1,7,3,4,5,6] => 0101000 => 0001010 => 1110101
[3,8,6,1,7,2,4,5] => 0110100 => 0010110 => 1101001
[4,8,1,5,7,2,3,6] => 0100100 => 0010010 => 1101101
[4,2,8,3,7,1,5,6] => 1010100 => 0010101 => 1101010
[8,1,2,7,3,4,5,6] => 1001000 => 0001001 => 1110110
[3,6,2,7,1,8,4,5] => 0101010 => 0101010 => 1010101
[6,3,7,1,2,8,4,5] => 1010010 => 0100101 => 1011010
[7,2,6,1,8,3,4,5] => 1010100 => 0010101 => 1101010
[7,3,1,5,8,2,4,6] => 1100100 => 0010011 => 1101100
[3,2,1,5,8,4,6,7] => 1100100 => 0010011 => 1101100
[5,4,1,3,6,8,2,7] => 1100010 => 0100011 => 1011100
[1,5,3,4,6,8,2,7] => 0100010 => 0100010 => 1011101
[4,3,5,1,6,8,2,7] => 1010010 => 0100101 => 1011010
[5,4,6,3,8,7,1,2] => 1010110 => 0110101 => 1001010
[3,6,4,5,8,7,1,2] => 0100110 => 0110010 => 1001101
[6,5,3,4,8,7,1,2] => 1100110 => 0110011 => 1001100
[5,3,2,8,7,1,4,6] => 1101100 => 0011011 => 1100100
[5,3,1,8,7,2,4,6] => 1101100 => 0011011 => 1100100
[8,5,3,7,6,1,2,4] => 1101100 => 0011011 => 1100100
[6,1,8,3,7,2,4,5] => 1010100 => 0010101 => 1101010
[6,3,8,1,7,2,4,5] => 1010100 => 0010101 => 1101010
[7,6,8,2,3,5,1,4] => 1010010 => 0100101 => 1011010
[3,7,8,2,4,6,1,5] => 0010010 => 0100100 => 1011011
[6,7,3,8,2,5,1,4] => 0101010 => 0101010 => 1010101
[5,4,7,8,2,6,1,3] => 1001010 => 0101001 => 1010110
[4,2,5,8,7,1,3,6] => 1001100 => 0011001 => 1100110
[2,3,8,7,1,4,5,6] => 0011000 => 0001100 => 1110011
[7,2,8,6,1,3,4,5] => 1011000 => 0001101 => 1110010
[2,1,8,7,3,4,5,6] => 1011000 => 0001101 => 1110010
[8,2,7,6,1,3,4,5] => 1011000 => 0001101 => 1110010
[1,2,8,7,3,4,5,6] => 0011000 => 0001100 => 1110011
[1,3,8,7,2,4,5,6] => 0011000 => 0001100 => 1110011
[1,7,8,3,6,2,4,5] => 0010100 => 0010100 => 1101011
[4,1,5,8,7,2,3,6] => 1001100 => 0011001 => 1100110
[5,4,8,7,6,1,2,3] => 1011100 => 0011101 => 1100010
[6,8,3,7,5,1,2,4] => 0101100 => 0011010 => 1100101
[7,8,6,2,5,1,3,4] => 0110100 => 0010110 => 1101001
[8,1,6,7,3,2,5,4] => 1001101 => 1011001 => 0100110
[8,1,6,7,3,2,4,5] => 1001100 => 0011001 => 1100110
[8,1,5,3,7,2,4,6] => 1010100 => 0010101 => 1101010
[8,1,5,3,6,2,4,7] => 1010100 => 0010101 => 1101010
[7,5,1,3,6,2,4,8] => 1100100 => 0010011 => 1101100
[7,5,8,3,6,2,4,1] => 1010101 => 1010101 => 0101010
[7,4,8,3,2,6,5,1] => 1011011 => 1101101 => 0010010
[7,4,1,3,2,6,5,8] => 1101010 => 0101011 => 1010100
[8,1,4,3,2,6,5,7] => 1011010 => 0101101 => 1010010
[8,1,4,3,2,7,5,6] => 1011010 => 0101101 => 1010010
[8,1,4,3,2,7,6,5] => 1011011 => 1101101 => 0010010
[8,1,5,4,6,7,2,3] => 1010010 => 0100101 => 1011010
[8,1,5,3,6,2,7,4] => 1010101 => 1010101 => 0101010
[8,1,4,3,2,6,7,5] => 1011001 => 1001101 => 0110010
[8,1,4,3,2,5,7,6] => 1011001 => 1001101 => 0110010
[8,1,4,3,2,5,6,7] => 1011000 => 0001101 => 1110010
[7,4,1,3,2,5,6,8] => 1101000 => 0001011 => 1110100
[7,4,8,3,2,5,6,1] => 1011001 => 1001101 => 0110010
[6,4,3,8,2,5,7,1] => 1101001 => 1001011 => 0110100
[6,4,3,1,2,5,8,7] => 1110001 => 1000111 => 0111000
[7,4,1,3,2,5,8,6] => 1101001 => 1001011 => 0110100
[7,4,1,3,2,6,8,5] => 1101001 => 1001011 => 0110100
[7,5,1,3,6,2,8,4] => 1100101 => 1010011 => 0101100
[7,5,1,4,6,8,2,3] => 1100010 => 0100011 => 1011100
[7,5,8,3,6,2,1,4] => 1010110 => 0110101 => 1001010
[7,4,8,3,2,6,1,5] => 1011010 => 0101101 => 1010010
[7,4,8,3,2,5,1,6] => 1011010 => 0101101 => 1010010
[6,4,3,8,2,5,1,7] => 1101010 => 0101011 => 1010100
[6,4,3,7,2,5,8,1] => 1101001 => 1001011 => 0110100
[5,4,3,2,8,6,1,7] => 1110110 => 0110111 => 1001000
[5,4,3,2,8,7,1,6] => 1110110 => 0110111 => 1001000
[6,5,3,8,7,2,1,4] => 1101110 => 0111011 => 1000100
[6,5,4,8,7,1,2,3] => 1101100 => 0011011 => 1100100
[6,5,4,1,7,8,2,3] => 1110010 => 0100111 => 1011000
[6,5,3,1,7,2,8,4] => 1110101 => 1010111 => 0101000
[6,4,3,1,2,7,8,5] => 1110001 => 1000111 => 0111000
[5,4,3,2,1,8,6,7] => 1111010 => 0101111 => 1010000
[6,5,3,1,8,2,7,4] => 1110101 => 1010111 => 0101000
[6,5,4,1,8,7,2,3] => 1110110 => 0110111 => 1001000
[7,5,1,4,8,6,2,3] => 1100110 => 0110011 => 1001100
[7,4,1,3,2,8,6,5] => 1101011 => 1101011 => 0010100
[7,4,1,3,2,8,5,6] => 1101010 => 0101011 => 1010100
[6,4,3,1,2,8,5,7] => 1110010 => 0100111 => 1011000
[6,4,3,1,2,7,5,8] => 1110010 => 0100111 => 1011000
[6,4,3,8,2,7,5,1] => 1101011 => 1101011 => 0010100
[6,5,3,8,7,2,4,1] => 1101101 => 1011011 => 0100100
[6,5,3,1,7,2,4,8] => 1110100 => 0010111 => 1101000
[6,5,3,1,8,2,4,7] => 1110100 => 0010111 => 1101000
[7,5,1,3,8,2,4,6] => 1100100 => 0010011 => 1101100
[7,6,1,8,3,2,4,5] => 1101100 => 0011011 => 1100100
[7,6,1,8,4,5,2,3] => 1101010 => 0101011 => 1010100
[7,6,8,1,4,5,2,3] => 1010010 => 0100101 => 1011010
[7,6,8,1,3,2,5,4] => 1010101 => 1010101 => 0101010
[6,5,3,7,8,2,4,1] => 1100101 => 1010011 => 0101100
[6,4,3,7,2,8,5,1] => 1101011 => 1101011 => 0010100
[6,4,3,7,2,1,5,8] => 1101100 => 0011011 => 1100100
[7,4,8,3,2,1,5,6] => 1011100 => 0011101 => 1100010
[7,4,8,3,2,1,6,5] => 1011101 => 1011101 => 0100010
[7,5,8,3,1,2,6,4] => 1011001 => 1001101 => 0110010
[7,5,8,4,1,6,2,3] => 1011010 => 0101101 => 1010010
[6,5,4,8,1,7,2,3] => 1101010 => 0101011 => 1010100
[6,5,3,8,1,2,7,4] => 1101001 => 1001011 => 0110100
[5,4,3,2,8,1,7,6] => 1110101 => 1010111 => 0101000
[6,4,3,7,2,1,8,5] => 1101101 => 1011011 => 0100100
[6,5,3,7,1,2,8,4] => 1101001 => 1001011 => 0110100
[6,5,4,7,1,8,2,3] => 1101010 => 0101011 => 1010100
[6,5,3,7,8,2,1,4] => 1100110 => 0110011 => 1001100
[6,4,3,7,2,8,1,5] => 1101010 => 0101011 => 1010100
[5,4,3,2,7,8,1,6] => 1110010 => 0100111 => 1011000
[5,4,3,2,6,8,1,7] => 1110010 => 0100111 => 1011000
[5,6,2,1,3,4,8,7] => 0110001 => 1000110 => 0111001
[5,8,2,7,4,1,3,6] => 0101100 => 0011010 => 1100101
[5,3,7,8,2,1,4,6] => 1001100 => 0011001 => 1100110
[7,6,1,2,5,8,3,4] => 1100010 => 0100011 => 1011100
[2,1,7,8,4,3,5,6] => 1001100 => 0011001 => 1100110
[8,3,7,4,1,5,6,2] => 1011001 => 1001101 => 0110010
[7,8,1,2,5,4,6,3] => 0100101 => 1010010 => 0101101
[2,6,8,3,1,4,7,5] => 0011001 => 1001100 => 0110011
[6,1,8,3,2,4,5,7] => 1011000 => 0001101 => 1110010
[8,4,1,3,7,6,2,5] => 1100110 => 0110011 => 1001100
[5,8,7,4,2,1,6,3] => 0111101 => 1011110 => 0100001
[7,5,1,6,8,3,4,2] => 1100101 => 1010011 => 0101100
[6,5,2,1,8,7,4,3] => 1110111 => 1110111 => 0001000
[4,7,2,8,1,3,6,5] => 0101001 => 1001010 => 0110101
[7,3,8,6,1,2,5,4] => 1011001 => 1001101 => 0110010
[3,4,7,1,8,2,6,5] => 0010101 => 1010100 => 0101011
[1,8,2,4,3,5,6,7] => 0101000 => 0001010 => 1110101
[1,7,2,4,3,5,6,8] => 0101000 => 0001010 => 1110101
[1,6,2,4,3,5,7,8] => 0101000 => 0001010 => 1110101
[1,5,2,4,3,6,7,8] => 0101000 => 0001010 => 1110101
[1,6,2,5,3,4,7,8] => 0101000 => 0001010 => 1110101
[1,7,2,5,3,4,6,8] => 0101000 => 0001010 => 1110101
[1,8,2,5,3,4,6,7] => 0101000 => 0001010 => 1110101
[1,8,2,6,3,4,5,7] => 0101000 => 0001010 => 1110101
[1,7,2,6,3,4,5,8] => 0101000 => 0001010 => 1110101
[1,8,2,7,3,5,4,6] => 0101010 => 0101010 => 1010101
[1,7,2,8,3,5,4,6] => 0101010 => 0101010 => 1010101
[1,6,2,8,3,5,4,7] => 0101010 => 0101010 => 1010101
[1,5,2,8,3,6,4,7] => 0101010 => 0101010 => 1010101
[1,4,2,8,3,6,5,7] => 0101010 => 0101010 => 1010101
[1,3,2,8,4,6,5,7] => 0101010 => 0101010 => 1010101
[1,2,3,8,4,6,5,7] => 0001010 => 0101000 => 1010111
[1,2,3,7,4,6,5,8] => 0001010 => 0101000 => 1010111
[1,3,2,7,4,6,5,8] => 0101010 => 0101010 => 1010101
[1,4,2,7,3,6,5,8] => 0101010 => 0101010 => 1010101
[1,5,2,7,3,6,4,8] => 0101010 => 0101010 => 1010101
[1,6,2,7,3,5,4,8] => 0101010 => 0101010 => 1010101
[1,7,2,6,3,5,4,8] => 0101010 => 0101010 => 1010101
[1,8,2,6,3,5,4,7] => 0101010 => 0101010 => 1010101
[1,8,2,5,3,6,4,7] => 0101010 => 0101010 => 1010101
[1,7,2,5,3,6,4,8] => 0101010 => 0101010 => 1010101
[1,6,2,5,3,7,4,8] => 0101010 => 0101010 => 1010101
[1,5,2,4,3,7,6,8] => 0101010 => 0101010 => 1010101
[1,6,2,4,3,7,5,8] => 0101010 => 0101010 => 1010101
[1,7,2,4,3,6,5,8] => 0101010 => 0101010 => 1010101
[1,8,2,4,3,6,5,7] => 0101010 => 0101010 => 1010101
[1,8,2,3,4,6,5,7] => 0100010 => 0100010 => 1011101
[1,7,2,3,4,6,5,8] => 0100010 => 0100010 => 1011101
[1,8,2,3,4,7,5,6] => 0100010 => 0100010 => 1011101
[1,8,2,4,3,7,5,6] => 0101010 => 0101010 => 1010101
[1,7,2,4,3,8,5,6] => 0101010 => 0101010 => 1010101
[1,6,2,4,3,8,5,7] => 0101010 => 0101010 => 1010101
[1,5,2,4,3,8,6,7] => 0101010 => 0101010 => 1010101
[1,6,2,5,3,8,4,7] => 0101010 => 0101010 => 1010101
[1,7,2,5,3,8,4,6] => 0101010 => 0101010 => 1010101
[1,8,2,5,3,7,4,6] => 0101010 => 0101010 => 1010101
[1,8,2,6,3,7,4,5] => 0101010 => 0101010 => 1010101
[1,7,2,6,3,8,4,5] => 0101010 => 0101010 => 1010101
[1,2,3,8,4,7,5,6] => 0001010 => 0101000 => 1010111
[1,3,2,8,4,7,5,6] => 0101010 => 0101010 => 1010101
[1,4,2,8,3,7,5,6] => 0101010 => 0101010 => 1010101
[1,5,2,8,3,7,4,6] => 0101010 => 0101010 => 1010101
[1,6,2,8,3,7,4,5] => 0101010 => 0101010 => 1010101
[1,7,2,8,3,6,4,5] => 0101010 => 0101010 => 1010101
[1,8,2,7,3,6,4,5] => 0101010 => 0101010 => 1010101
[4,6,3,7,2,5,1,8] => 0101010 => 0101010 => 1010101
[4,6,3,7,5,2,1,8] => 0101110 => 0111010 => 1000101
[4,6,3,8,5,1,7,2] => 0101101 => 1011010 => 0100101
[4,6,3,8,5,1,2,7] => 0101100 => 0011010 => 1100101
[5,6,8,3,4,1,2,7] => 0010100 => 0010100 => 1101011
[5,6,8,3,4,1,7,2] => 0010101 => 1010100 => 0101011
[4,6,2,7,5,3,1,8] => 0101110 => 0111010 => 1000101
[5,6,7,2,4,3,1,8] => 0010110 => 0110100 => 1001011
[5,6,8,4,3,1,7,2] => 0011101 => 1011100 => 0100011
[5,6,8,4,3,1,2,7] => 0011100 => 0011100 => 1100011
[5,7,8,4,1,6,2,3] => 0011010 => 0101100 => 1010011
[5,7,8,4,1,6,3,2] => 0011011 => 1101100 => 0010011
[5,7,8,4,1,3,6,2] => 0011001 => 1001100 => 0110011
[5,6,8,4,2,1,7,3] => 0011101 => 1011100 => 0100011
[5,6,8,2,4,1,7,3] => 0010101 => 1010100 => 0101011
[4,6,2,8,5,1,7,3] => 0101101 => 1011010 => 0100101
[3,2,6,8,5,1,7,4] => 1001101 => 1011001 => 0100110
[3,2,6,8,5,1,4,7] => 1001100 => 0011001 => 1100110
[4,6,2,8,5,1,3,7] => 0101100 => 0011010 => 1100101
[5,6,8,2,4,1,3,7] => 0010100 => 0010100 => 1101011
[5,6,8,4,2,1,3,7] => 0011100 => 0011100 => 1100011
[5,7,8,4,1,3,2,6] => 0011010 => 0101100 => 1010011
[5,7,8,4,1,2,6,3] => 0011001 => 1001100 => 0110011
[5,7,8,4,1,2,3,6] => 0011000 => 0001100 => 1110011
[6,7,8,1,5,2,3,4] => 0010100 => 0010100 => 1101011
[6,7,8,1,5,2,4,3] => 0010101 => 1010100 => 0101011
[6,7,8,1,5,3,2,4] => 0010110 => 0110100 => 1001011
[6,7,8,1,3,5,2,4] => 0010010 => 0100100 => 1011011
[5,7,8,2,1,6,3,4] => 0011010 => 0101100 => 1010011
[4,7,2,8,1,6,3,5] => 0101010 => 0101010 => 1010101
[3,2,7,8,1,6,4,5] => 1001010 => 0101001 => 1010110
[3,2,7,8,1,6,5,4] => 1001011 => 1101001 => 0010110
[4,7,2,8,1,6,5,3] => 0101011 => 1101010 => 0010101
[5,7,8,2,1,6,4,3] => 0011011 => 1101100 => 0010011
[6,7,8,1,3,5,4,2] => 0010011 => 1100100 => 0011011
[6,7,8,1,5,3,4,2] => 0010101 => 1010100 => 0101011
[6,7,8,1,5,4,3,2] => 0010111 => 1110100 => 0001011
[6,7,8,1,5,4,2,3] => 0010110 => 0110100 => 1001011
[6,7,8,1,4,5,2,3] => 0010010 => 0100100 => 1011011
[6,7,8,1,4,5,3,2] => 0010011 => 1100100 => 0011011
[6,7,8,1,4,3,5,2] => 0010101 => 1010100 => 0101011
[6,7,8,1,3,4,5,2] => 0010001 => 1000100 => 0111011
[5,7,8,2,1,4,6,3] => 0011001 => 1001100 => 0110011
[4,7,2,8,1,5,6,3] => 0101001 => 1001010 => 0110101
[3,2,7,8,1,5,6,4] => 1001001 => 1001001 => 0110110
[3,2,6,8,4,1,7,5] => 1001101 => 1011001 => 0100110
[4,6,2,8,3,1,7,5] => 0101101 => 1011010 => 0100101
[5,6,8,3,2,1,7,4] => 0011101 => 1011100 => 0100011
[5,7,8,3,1,4,6,2] => 0011001 => 1001100 => 0110011
[5,7,8,3,1,6,4,2] => 0011011 => 1101100 => 0010011
[5,7,8,3,1,6,2,4] => 0011010 => 0101100 => 1010011
[4,7,3,8,1,6,2,5] => 0101010 => 0101010 => 1010101
[4,7,3,8,1,6,5,2] => 0101011 => 1101010 => 0010101
[4,7,3,8,1,5,6,2] => 0101001 => 1001010 => 0110101
[4,6,3,8,2,1,7,5] => 0101101 => 1011010 => 0100101
[4,5,3,2,8,1,7,6] => 0110101 => 1010110 => 0101001
[4,5,2,3,8,1,7,6] => 0100101 => 1010010 => 0101101
[3,2,5,4,8,1,7,6] => 1010101 => 1010101 => 0101010
[4,5,3,2,8,1,6,7] => 0110100 => 0010110 => 1101001
[4,6,3,8,2,1,5,7] => 0101100 => 0011010 => 1100101
[4,7,3,8,1,5,2,6] => 0101010 => 0101010 => 1010101
[4,7,3,8,1,2,6,5] => 0101001 => 1001010 => 0110101
[4,7,3,8,1,2,5,6] => 0101000 => 0001010 => 1110101
[5,7,8,3,1,2,4,6] => 0011000 => 0001100 => 1110011
[5,7,8,3,1,2,6,4] => 0011001 => 1001100 => 0110011
[5,7,8,3,1,4,2,6] => 0011010 => 0101100 => 1010011
[5,6,8,3,2,1,4,7] => 0011100 => 0011100 => 1100011
[3,2,7,8,1,5,4,6] => 1001010 => 0101001 => 1010110
[5,7,8,2,1,4,3,6] => 0011010 => 0101100 => 1010011
[6,7,8,1,3,4,2,5] => 0010010 => 0100100 => 1011011
[6,7,8,1,4,3,2,5] => 0010110 => 0110100 => 1001011
[6,7,8,1,4,2,5,3] => 0010101 => 1010100 => 0101011
[6,7,8,1,4,2,3,5] => 0010100 => 0010100 => 1101011
[6,7,8,1,2,5,3,4] => 0010010 => 0100100 => 1011011
[6,7,8,1,2,5,4,3] => 0010011 => 1100100 => 0011011
[6,7,8,1,2,4,5,3] => 0010001 => 1000100 => 0111011
[6,7,8,1,3,2,5,4] => 0010101 => 1010100 => 0101011
[5,7,8,2,1,3,6,4] => 0011001 => 1001100 => 0110011
[3,2,7,8,1,4,6,5] => 1001001 => 1001001 => 0110110
[6,7,8,1,3,2,4,5] => 0010100 => 0010100 => 1101011
[6,7,8,1,2,4,3,5] => 0010010 => 0100100 => 1011011
[6,7,8,1,2,3,5,4] => 0010001 => 1000100 => 0111011
[7,2,8,5,1,6,4,3] => 1011011 => 1101101 => 0010010
[1,3,7,5,2,6,4,8] => 0011010 => 0101100 => 1010011
[1,3,7,5,4,2,6,8] => 0011100 => 0011100 => 1100011
[7,2,8,5,4,1,6,3] => 1011101 => 1011101 => 0100010
[2,8,5,4,3,1,7,6] => 0111101 => 1011110 => 0100001
[2,8,4,5,6,1,7,3] => 0100101 => 1010010 => 0101101
[2,8,6,5,7,3,1,4] => 0110110 => 0110110 => 1001001
[2,8,4,5,3,7,1,6] => 0101010 => 0101010 => 1010101
[2,8,4,3,5,6,1,7] => 0110010 => 0100110 => 1011001
[7,2,8,4,5,6,1,3] => 1010010 => 0100101 => 1011010
[1,6,3,7,5,2,4,8] => 0101100 => 0011010 => 1100101
[6,2,3,8,5,1,7,4] => 1001101 => 1011001 => 0100110
[6,3,2,8,5,1,4,7] => 1101100 => 0011011 => 1100100
[7,4,8,2,5,6,3,1] => 1010011 => 1100101 => 0011010
[7,4,8,5,2,1,3,6] => 1011100 => 0011101 => 1100010
[6,4,8,5,1,3,7,2] => 1011001 => 1001101 => 0110010
[6,3,7,5,2,1,8,4] => 1011101 => 1011101 => 0100010
[4,3,7,5,1,2,8,6] => 1011001 => 1001101 => 0110010
[4,3,7,1,5,6,8,2] => 1010001 => 1000101 => 0111010
[3,6,1,7,5,2,8,4] => 0101101 => 1011010 => 0100101
[3,4,1,2,7,6,8,5] => 0100101 => 1010010 => 0101101
[3,4,2,1,7,5,8,6] => 0110101 => 1010110 => 0101001
[3,6,5,7,1,4,8,2] => 0101001 => 1001010 => 0110101
[6,5,2,7,4,1,8,3] => 1101101 => 1011011 => 0100100
[3,5,2,6,4,8,7,1] => 0101011 => 1101010 => 0010101
[5,3,1,8,6,4,7,2] => 1101101 => 1011011 => 0100100
[5,6,1,8,7,2,4,3] => 0101101 => 1011010 => 0100101
[6,3,5,8,2,7,4,1] => 1001011 => 1101001 => 0010110
[6,5,8,4,2,3,7,1] => 1011001 => 1001101 => 0110010
[6,2,5,8,3,7,1,4] => 1001010 => 0101001 => 1010110
[1,6,5,7,3,4,2,8] => 0101010 => 0101010 => 1010101
[1,5,2,7,4,6,3,8] => 0101010 => 0101010 => 1010101
[5,2,1,8,7,6,3,4] => 1101110 => 0111011 => 1000100
[7,1,3,8,4,6,2,5] => 1001010 => 0101001 => 1010110
[2,3,4,8,6,1,7,5] => 0001101 => 1011000 => 0100111
[2,3,4,8,6,5,1,7] => 0001110 => 0111000 => 1000111
[2,7,3,5,8,6,1,4] => 0100110 => 0110010 => 1001101
[3,2,4,7,8,6,1,5] => 1000110 => 0110001 => 1001110
[1,5,4,6,2,7,3,8] => 0101010 => 0101010 => 1010101
[5,2,4,7,1,8,3,6] => 1001010 => 0101001 => 1010110
[5,3,6,4,1,8,7,2] => 1011011 => 1101101 => 0010010
[5,3,6,1,4,8,2,7] => 1010010 => 0100101 => 1011010
[7,3,5,6,8,4,2,1] => 1000111 => 1110001 => 0001110
[6,3,5,1,8,2,7,4] => 1010101 => 1010101 => 0101010
[2,6,1,5,8,4,7,3] => 0100101 => 1010010 => 0101101
[2,7,6,5,8,3,4,1] => 0110101 => 1010110 => 0101001
[5,7,1,6,3,8,4,2] => 0101011 => 1101010 => 0010101
[3,2,4,1,7,8,5,6] => 1010010 => 0100101 => 1011010
[3,1,4,2,7,8,6,5] => 1010011 => 1100101 => 0011010
[5,1,4,7,2,8,6,3] => 1001011 => 1101001 => 0010110
[3,6,4,7,8,2,5,1] => 0100101 => 1010010 => 0101101
[3,1,4,6,8,5,7,2] => 1000101 => 1010001 => 0101110
[6,3,4,5,7,1,8,2] => 1000101 => 1010001 => 0101110
[2,5,4,6,1,7,8,3] => 0101001 => 1001010 => 0110101
[7,2,1,4,3,6,5,8] => 1101010 => 0101011 => 1010100
[7,3,4,1,2,6,5,8] => 1010010 => 0100101 => 1011010
[7,4,3,2,1,6,5,8] => 1111010 => 0101111 => 1010000
[7,6,3,2,5,4,1,8] => 1110110 => 0110111 => 1001000
[6,7,3,2,5,4,8,1] => 0110101 => 1010110 => 0101001
[1,8,3,2,5,4,7,6] => 0110101 => 1010110 => 0101001
[1,8,4,5,2,3,7,6] => 0101001 => 1001010 => 0110101
[7,3,5,1,6,2,4,8] => 1010100 => 0010101 => 1101010
[7,2,1,5,6,3,4,8] => 1100100 => 0010011 => 1101100
[7,2,1,6,5,4,3,8] => 1101110 => 0111011 => 1000100
[7,3,6,1,5,4,2,8] => 1010110 => 0110101 => 1001010
[7,4,6,5,1,3,2,8] => 1011010 => 0101101 => 1010010
[1,8,5,4,3,2,7,6] => 0111101 => 1011110 => 0100001
[1,8,6,4,3,7,2,5] => 0111010 => 0101110 => 1010001
[6,5,7,4,3,1,8,2] => 1011101 => 1011101 => 0100010
[6,4,7,5,1,3,8,2] => 1011001 => 1001101 => 0110010
[6,3,7,1,5,4,8,2] => 1010101 => 1010101 => 0101010
[6,2,1,7,5,4,8,3] => 1101101 => 1011011 => 0100100
[3,2,1,8,5,4,7,6] => 1101101 => 1011011 => 0100100
[2,3,8,1,5,4,7,6] => 0010101 => 1010100 => 0101011
[2,4,8,5,1,3,7,6] => 0011001 => 1001100 => 0110011
[2,5,8,4,3,1,7,6] => 0011101 => 1011100 => 0100011
[2,6,8,4,3,7,1,5] => 0011010 => 0101100 => 1010011
[2,7,8,4,3,6,5,1] => 0011011 => 1101100 => 0010011
[1,8,7,4,3,6,5,2] => 0111011 => 1101110 => 0010001
[1,8,7,5,6,3,4,2] => 0110101 => 1010110 => 0101001
[2,7,8,5,6,3,4,1] => 0010101 => 1010100 => 0101011
[2,6,8,5,7,3,1,4] => 0010110 => 0110100 => 1001011
[2,5,8,6,7,1,3,4] => 0010100 => 0010100 => 1101011
[2,4,8,6,1,7,3,5] => 0011010 => 0101100 => 1010011
[3,2,1,8,6,7,4,5] => 1101010 => 0101011 => 1010100
[5,2,1,7,6,8,4,3] => 1101011 => 1101011 => 0010100
[5,3,7,1,6,8,4,2] => 1010011 => 1100101 => 0011010
[5,4,7,6,1,8,3,2] => 1011011 => 1101101 => 0010010
[4,5,7,6,8,1,3,2] => 0010101 => 1010100 => 0101011
[4,6,7,5,8,3,1,2] => 0010110 => 0110100 => 1001011
[1,8,6,5,7,3,2,4] => 0110110 => 0110110 => 1001001
[1,8,5,6,7,2,3,4] => 0100100 => 0010010 => 1101101
[4,7,5,6,8,2,3,1] => 0100101 => 1010010 => 0101101
[4,6,5,7,8,2,1,3] => 0100110 => 0110010 => 1001101
[5,4,6,7,1,8,2,3] => 1001010 => 0101001 => 1010110
[5,3,6,1,7,8,2,4] => 1010010 => 0100101 => 1011010
[5,2,1,6,7,8,3,4] => 1100010 => 0100011 => 1011100
[6,2,1,5,7,3,8,4] => 1100101 => 1010011 => 0101100
[6,3,5,1,7,2,8,4] => 1010101 => 1010101 => 0101010
[6,4,5,7,1,2,8,3] => 1001001 => 1001001 => 0110110
[6,5,4,7,2,1,8,3] => 1101101 => 1011011 => 0100100
[5,6,4,7,2,8,1,3] => 0101010 => 0101010 => 1010101
[1,8,4,6,2,7,3,5] => 0101010 => 0101010 => 1010101
[1,8,3,2,6,7,4,5] => 0110010 => 0100110 => 1011001
[5,7,3,2,6,8,4,1] => 0110011 => 1100110 => 0011001
[5,6,3,2,7,8,1,4] => 0110010 => 0100110 => 1011001
[6,5,3,2,7,1,8,4] => 1110101 => 1010111 => 0101000
[6,4,3,2,1,7,8,5] => 1111001 => 1001111 => 0110000
[6,2,1,4,3,7,8,5] => 1101001 => 1001011 => 0110100
[5,2,1,4,3,8,7,6] => 1101011 => 1101011 => 0010100
[5,3,4,1,2,8,7,6] => 1010011 => 1100101 => 0011010
[4,6,3,2,8,7,1,5] => 0110110 => 0110110 => 1001001
[4,7,3,2,8,6,5,1] => 0110111 => 1110110 => 0001001
[1,8,3,2,7,6,5,4] => 0110111 => 1110110 => 0001001
[1,8,4,7,2,6,5,3] => 0101011 => 1101010 => 0010101
[3,7,4,8,2,6,5,1] => 0101011 => 1101010 => 0010101
[3,6,4,8,2,7,1,5] => 0101010 => 0101010 => 1010101
[3,5,4,8,2,1,7,6] => 0101101 => 1011010 => 0100101
[3,4,5,8,1,2,7,6] => 0001001 => 1001000 => 0110111
[4,3,5,1,8,2,7,6] => 1010101 => 1010101 => 0101010
[4,2,1,5,8,3,7,6] => 1100101 => 1010011 => 0101100
[4,2,1,6,8,7,3,5] => 1100110 => 0110011 => 1001100
[4,3,6,1,8,7,2,5] => 1010110 => 0110101 => 1001010
[3,4,6,8,1,7,2,5] => 0001010 => 0101000 => 1010111
[3,5,6,8,7,1,2,4] => 0001100 => 0011000 => 1100111
[3,6,5,8,7,2,1,4] => 0101110 => 0111010 => 1000101
[3,7,5,8,6,2,4,1] => 0101101 => 1011010 => 0100101
[1,8,5,7,6,2,4,3] => 0101101 => 1011010 => 0100101
[1,8,6,7,5,4,2,3] => 0101110 => 0111010 => 1000101
[3,6,7,8,5,4,1,2] => 0001110 => 0111000 => 1000111
[3,5,7,8,6,1,4,2] => 0001101 => 1011000 => 0100111
[3,4,7,8,1,6,5,2] => 0001011 => 1101000 => 0010111
[4,2,1,7,8,6,5,3] => 1100111 => 1110011 => 0001100
[2,3,8,1,7,6,5,4] => 0010111 => 1110100 => 0001011
[2,4,8,7,1,6,5,3] => 0011011 => 1101100 => 0010011
[2,5,8,7,6,1,4,3] => 0011101 => 1011100 => 0100011
[2,6,8,7,5,4,1,3] => 0011110 => 0111100 => 1000011
[2,1,4,3,6,5,8,7,10,9,12,11] => 10101010101 => 10101010101 => 01010101010
[2,1,4,3,6,5,8,7,12,11,10,9] => 10101010111 => 11101010101 => 00010101010
[2,1,4,3,6,5,10,9,8,7,12,11] => 10101011101 => 10111010101 => 01000101010
[2,1,4,3,6,5,12,11,10,9,8,7] => 10101011111 => 11111010101 => 00000101010
[2,1,4,3,8,7,6,5,10,9,12,11] => 10101110101 => 10101110101 => 01010001010
[2,1,4,3,8,7,6,5,12,11,10,9] => 10101110111 => 11101110101 => 00010001010
[2,1,4,3,12,7,6,11,10,9,8,5] => 10101101111 => 11110110101 => 00001001010
[2,1,4,3,10,9,8,7,6,5,12,11] => 10101111101 => 10111110101 => 01000001010
[2,1,4,3,12,11,8,7,10,9,6,5] => 10101110111 => 11101110101 => 00010001010
[2,1,4,3,12,11,10,9,8,7,6,5] => 10101111111 => 11111110101 => 00000001010
[2,1,6,5,4,3,8,7,10,9,12,11] => 10111010101 => 10101011101 => 01010100010
[2,1,6,5,4,3,8,7,12,11,10,9] => 10111010111 => 11101011101 => 00010100010
[2,1,6,5,4,3,10,9,8,7,12,11] => 10111011101 => 10111011101 => 01000100010
[2,1,6,5,4,3,12,9,8,11,10,7] => 10111011011 => 11011011101 => 00100100010
[2,1,6,5,4,3,12,11,10,9,8,7] => 10111011111 => 11111011101 => 00000100010
[2,1,8,5,4,7,6,3,12,11,10,9] => 10110110111 => 11101101101 => 00010010010
[2,1,12,5,4,7,6,11,10,9,8,3] => 10110101111 => 11110101101 => 00001010010
[2,1,12,5,4,9,8,7,6,11,10,3] => 10110111011 => 11011101101 => 00100010010
[2,1,12,5,4,11,8,7,10,9,6,3] => 10110110111 => 11101101101 => 00010010010
[2,1,12,5,4,11,10,9,8,7,6,3] => 10110111111 => 11111101101 => 00000010010
[2,1,8,7,6,5,4,3,10,9,12,11] => 10111110101 => 10101111101 => 01010000010
[2,1,8,7,6,5,4,3,12,11,10,9] => 10111110111 => 11101111101 => 00010000010
[2,1,12,7,6,5,4,11,10,9,8,3] => 10111101111 => 11110111101 => 00001000010
[2,1,10,9,6,5,8,7,4,3,12,11] => 10111011101 => 10111011101 => 01000100010
[2,1,12,9,6,5,8,7,4,11,10,3] => 10111011011 => 11011011101 => 00100100010
[2,1,12,11,6,5,8,7,10,9,4,3] => 10111010111 => 11101011101 => 00010100010
[2,1,12,11,6,5,10,9,8,7,4,3] => 10111011111 => 11111011101 => 00000100010
[2,1,10,9,8,7,6,5,4,3,12,11] => 10111111101 => 10111111101 => 01000000010
[2,1,12,9,8,7,6,5,4,11,10,3] => 10111111011 => 11011111101 => 00100000010
[2,1,12,11,8,7,6,5,10,9,4,3] => 10111110111 => 11101111101 => 00010000010
[2,1,12,11,10,7,6,9,8,5,4,3] => 10111101111 => 11110111101 => 00001000010
[2,1,12,11,10,9,8,7,6,5,4,3] => 10111111111 => 11111111101 => 00000000010
[4,3,2,1,6,5,8,7,10,9,12,11] => 11101010101 => 10101010111 => 01010101000
[4,3,2,1,6,5,8,7,12,11,10,9] => 11101010111 => 11101010111 => 00010101000
[4,3,2,1,6,5,10,9,8,7,12,11] => 11101011101 => 10111010111 => 01000101000
[4,3,2,1,6,5,12,9,8,11,10,7] => 11101011011 => 11011010111 => 00100101000
[4,3,2,1,6,5,12,11,10,9,8,7] => 11101011111 => 11111010111 => 00000101000
[4,3,2,1,8,7,6,5,10,9,12,11] => 11101110101 => 10101110111 => 01010001000
[4,3,2,1,8,7,6,5,12,11,10,9] => 11101110111 => 11101110111 => 00010001000
[4,3,2,1,12,7,6,9,8,11,10,5] => 11101101011 => 11010110111 => 00101001000
[4,3,2,1,12,7,6,11,10,9,8,5] => 11101101111 => 11110110111 => 00001001000
[4,3,2,1,10,9,8,7,6,5,12,11] => 11101111101 => 10111110111 => 01000001000
[4,3,2,1,12,9,8,7,6,11,10,5] => 11101111011 => 11011110111 => 00100001000
[4,3,2,1,12,11,8,7,10,9,6,5] => 11101110111 => 11101110111 => 00010001000
[4,3,2,1,12,11,10,9,8,7,6,5] => 11101111111 => 11111110111 => 00000001000
[6,3,2,5,4,1,8,7,12,11,10,9] => 11011010111 => 11101011011 => 00010100100
[6,3,2,5,4,1,12,9,8,11,10,7] => 11011011011 => 11011011011 => 00100100100
[6,3,2,5,4,1,12,11,10,9,8,7] => 11011011111 => 11111011011 => 00000100100
[8,3,2,5,4,7,6,1,12,11,10,9] => 11010110111 => 11101101011 => 00010010100
[12,3,2,5,4,7,6,11,10,9,8,1] => 11010101111 => 11110101011 => 00001010100
[12,3,2,5,4,9,8,7,6,11,10,1] => 11010111011 => 11011101011 => 00100010100
[12,3,2,5,4,11,8,7,10,9,6,1] => 11010110111 => 11101101011 => 00010010100
[12,3,2,5,4,11,10,9,8,7,6,1] => 11010111111 => 11111101011 => 00000010100
[8,3,2,7,6,5,4,1,12,11,10,9] => 11011110111 => 11101111011 => 00010000100
[12,3,2,7,6,5,4,9,8,11,10,1] => 11011101011 => 11010111011 => 00101000100
[12,3,2,7,6,5,4,11,10,9,8,1] => 11011101111 => 11110111011 => 00001000100
[12,3,2,9,6,5,8,7,4,11,10,1] => 11011011011 => 11011011011 => 00100100100
[12,3,2,11,6,5,8,7,10,9,4,1] => 11011010111 => 11101011011 => 00010100100
[12,3,2,11,6,5,10,9,8,7,4,1] => 11011011111 => 11111011011 => 00000100100
[10,3,2,9,8,7,6,5,4,1,12,11] => 11011111101 => 10111111011 => 01000000100
[12,3,2,11,8,7,6,5,10,9,4,1] => 11011110111 => 11101111011 => 00010000100
[12,3,2,11,10,7,6,9,8,5,4,1] => 11011101111 => 11110111011 => 00001000100
[12,3,2,11,10,9,8,7,6,5,4,1] => 11011111111 => 11111111011 => 00000000100
[6,5,4,3,2,1,8,7,10,9,12,11] => 11111010101 => 10101011111 => 01010100000
[6,5,4,3,2,1,8,7,12,11,10,9] => 11111010111 => 11101011111 => 00010100000
[6,5,4,3,2,1,10,9,8,7,12,11] => 11111011101 => 10111011111 => 01000100000
[6,5,4,3,2,1,12,11,10,9,8,7] => 11111011111 => 11111011111 => 00000100000
[8,5,4,3,2,7,6,1,12,11,10,9] => 11110110111 => 11101101111 => 00010010000
[12,5,4,3,2,7,6,11,10,9,8,1] => 11110101111 => 11110101111 => 00001010000
[10,5,4,3,2,9,8,7,6,1,12,11] => 11110111101 => 10111101111 => 01000010000
[12,5,4,3,2,9,8,7,6,11,10,1] => 11110111011 => 11011101111 => 00100010000
[12,5,4,3,2,11,8,7,10,9,6,1] => 11110110111 => 11101101111 => 00010010000
[12,5,4,3,2,11,10,9,8,7,6,1] => 11110111111 => 11111101111 => 00000010000
[8,7,4,3,6,5,2,1,10,9,12,11] => 11101110101 => 10101110111 => 01010001000
[8,7,4,3,6,5,2,1,12,11,10,9] => 11101110111 => 11101110111 => 00010001000
[12,7,4,3,6,5,2,9,8,11,10,1] => 11101101011 => 11010110111 => 00101001000
[12,7,4,3,6,5,2,11,10,9,8,1] => 11101101111 => 11110110111 => 00001001000
[10,9,4,3,6,5,8,7,2,1,12,11] => 11101011101 => 10111010111 => 01000101000
[12,9,4,3,6,5,8,7,2,11,10,1] => 11101011011 => 11011010111 => 00100101000
[12,11,4,3,6,5,8,7,10,9,2,1] => 11101010111 => 11101010111 => 00010101000
[12,11,4,3,6,5,10,9,8,7,2,1] => 11101011111 => 11111010111 => 00000101000
[10,9,4,3,8,7,6,5,2,1,12,11] => 11101111101 => 10111110111 => 01000001000
[12,9,4,3,8,7,6,5,2,11,10,1] => 11101111011 => 11011110111 => 00100001000
[12,11,4,3,8,7,6,5,10,9,2,1] => 11101110111 => 11101110111 => 00010001000
[12,11,4,3,10,7,6,9,8,5,2,1] => 11101101111 => 11110110111 => 00001001000
[12,11,4,3,10,9,8,7,6,5,2,1] => 11101111111 => 11111110111 => 00000001000
[8,7,6,5,4,3,2,1,10,9,12,11] => 11111110101 => 10101111111 => 01010000000
[8,7,6,5,4,3,2,1,12,11,10,9] => 11111110111 => 11101111111 => 00010000000
[10,7,6,5,4,3,2,9,8,1,12,11] => 11111101101 => 10110111111 => 01001000000
[12,7,6,5,4,3,2,9,8,11,10,1] => 11111101011 => 11010111111 => 00101000000
[12,7,6,5,4,3,2,11,10,9,8,1] => 11111101111 => 11110111111 => 00001000000
[10,9,6,5,4,3,8,7,2,1,12,11] => 11111011101 => 10111011111 => 01000100000
[12,11,6,5,4,3,8,7,10,9,2,1] => 11111010111 => 11101011111 => 00010100000
[12,11,6,5,4,3,10,9,8,7,2,1] => 11111011111 => 11111011111 => 00000100000
[10,9,8,5,4,7,6,3,2,1,12,11] => 11110111101 => 10111101111 => 01000010000
[12,9,8,5,4,7,6,3,2,11,10,1] => 11110111011 => 11011101111 => 00100010000
[12,11,8,5,4,7,6,3,10,9,2,1] => 11110110111 => 11101101111 => 00010010000
[12,11,10,5,4,7,6,9,8,3,2,1] => 11110101111 => 11110101111 => 00001010000
[12,11,10,5,4,9,8,7,6,3,2,1] => 11110111111 => 11111101111 => 00000010000
[10,9,8,7,6,5,4,3,2,1,12,11] => 11111111101 => 10111111111 => 01000000000
[12,9,8,7,6,5,4,3,2,11,10,1] => 11111111011 => 11011111111 => 00100000000
[12,11,8,7,6,5,4,3,10,9,2,1] => 11111110111 => 11101111111 => 00010000000
[12,11,10,7,6,5,4,9,8,3,2,1] => 11111101111 => 11110111111 => 00001000000
[12,11,10,9,6,5,8,7,4,3,2,1] => 11111011111 => 11111011111 => 00000100000
[12,11,10,9,8,7,6,5,4,3,2,1] => 11111111111 => 11111111111 => 00000000000
[7,4,6,1,8,3,5,2] => 1010101 => 1010101 => 0101010
[8,3,5,1,7,4,6,2] => 1010101 => 1010101 => 0101010
[8,3,4,1,7,5,6,2] => 1010101 => 1010101 => 0101010
[4,8,3,1,7,5,6,2] => 0110101 => 1010110 => 0101001
[4,6,2,1,7,5,8,3] => 0110101 => 1010110 => 0101001
[1,4,6,2,7,5,8,3] => 0010101 => 1010100 => 0101011
[1,7,5,2,6,8,4,3] => 0110011 => 1100110 => 0011001
[7,5,2,1,6,8,4,3] => 1110011 => 1100111 => 0011000
[6,8,4,3,1,7,5,2] => 0111011 => 1101110 => 0010001
[3,6,8,4,1,7,5,2] => 0011011 => 1101100 => 0010011
[3,6,7,5,1,8,4,2] => 0011011 => 1101100 => 0010011
[7,5,6,1,8,3,4,2] => 1010101 => 1010101 => 0101010
[3,4,6,5,7,1,8,2] => 0010101 => 1010100 => 0101011
[4,7,5,6,1,8,3,2] => 0101011 => 1101010 => 0010101
[6,7,5,1,8,4,3,2] => 0110111 => 1110110 => 0001001
[6,8,4,1,7,5,3,2] => 0110111 => 1110110 => 0001001
[6,7,5,3,1,8,4,2] => 0111011 => 1101110 => 0010001
[8,4,2,1,6,7,5,3] => 1110011 => 1100111 => 0011000
[1,8,4,2,6,7,5,3] => 0110011 => 1100110 => 0011001
[1,5,3,2,7,6,8,4] => 0110101 => 1010110 => 0101001
[5,3,2,1,7,6,8,4] => 1110101 => 1010111 => 0101000
[2,5,3,1,7,6,8,4] => 0110101 => 1010110 => 0101001
[2,8,4,1,6,7,5,3] => 0110011 => 1100110 => 0011001
[2,7,5,1,6,8,4,3] => 0110011 => 1100110 => 0011001
[2,4,6,1,7,5,8,3] => 0010101 => 1010100 => 0101011
[4,7,1,6,5,8,2,3] => 0101010 => 0101010 => 1010101
[4,8,2,6,5,7,1,3] => 0101010 => 0101010 => 1010101
[4,6,1,2,7,5,8,3] => 0100101 => 1010010 => 0101101
[7,5,1,2,6,8,4,3] => 1100011 => 1100011 => 0011100
[8,4,1,2,6,7,5,3] => 1100011 => 1100011 => 0011100
[5,3,1,2,7,6,8,4] => 1100101 => 1010011 => 0101100
[1,2,5,3,7,6,8,4] => 0010101 => 1010100 => 0101011
[4,3,1,2,7,6,8,5] => 1100101 => 1010011 => 0101100
[3,5,1,2,7,6,8,4] => 0100101 => 1010010 => 0101101
[6,7,1,5,8,2,3,4] => 0100100 => 0010010 => 1101101
[2,7,6,1,5,8,3,4] => 0110010 => 0100110 => 1011001
[2,3,5,1,7,6,8,4] => 0010101 => 1010100 => 0101011
[7,6,1,5,8,3,2,4] => 1100110 => 0110011 => 1001100
[3,6,7,1,5,8,2,4] => 0010010 => 0100100 => 1011011
[7,1,6,5,8,2,4,3] => 1010101 => 1010101 => 0101010
[7,5,1,6,8,4,2,3] => 1100110 => 0110011 => 1001100
[8,4,1,6,7,5,2,3] => 1100110 => 0110011 => 1001100
[5,2,3,1,7,6,8,4] => 1010101 => 1010101 => 0101010
[3,5,2,1,7,6,8,4] => 0110101 => 1010110 => 0101001
[1,3,5,2,7,6,8,4] => 0010101 => 1010100 => 0101011
[1,7,6,2,5,8,3,4] => 0110010 => 0100110 => 1011001
[7,6,2,1,5,8,3,4] => 1110010 => 0100111 => 1011000
[8,3,1,5,7,6,2,4] => 1100110 => 0110011 => 1001100
[6,2,4,1,7,5,8,3] => 1010101 => 1010101 => 0101010
[6,2,5,1,7,4,8,3] => 1010101 => 1010101 => 0101010
[7,1,6,4,8,2,5,3] => 1010101 => 1010101 => 0101010
[8,2,6,4,7,1,5,3] => 1010101 => 1010101 => 0101010
[6,1,5,2,7,4,8,3] => 1010101 => 1010101 => 0101010
[7,6,2,5,8,3,1,4] => 1100110 => 0110011 => 1001100
[8,3,5,7,6,2,1,4] => 1001110 => 0111001 => 1000110
[1,8,3,5,7,6,2,4] => 0100110 => 0110010 => 1001101
[1,5,2,3,7,6,8,4] => 0100101 => 1010010 => 0101101
[5,2,1,3,7,6,8,4] => 1100101 => 1010011 => 0101100
[7,5,2,6,8,4,1,3] => 1100110 => 0110011 => 1001100
[8,4,2,6,7,5,1,3] => 1100110 => 0110011 => 1001100
[6,1,4,2,7,5,8,3] => 1010101 => 1010101 => 0101010
[8,2,6,5,7,1,4,3] => 1010101 => 1010101 => 0101010
[3,6,8,2,5,7,1,4] => 0010010 => 0100100 => 1011011
[8,3,2,5,7,6,1,4] => 1100110 => 0110011 => 1001100
[5,1,3,2,7,6,8,4] => 1010101 => 1010101 => 0101010
[4,1,3,2,7,6,8,5] => 1010101 => 1010101 => 0101010
[4,2,1,3,7,6,8,5] => 1100101 => 1010011 => 0101100
[1,4,2,3,7,6,8,5] => 0100101 => 1010010 => 0101101
[2,4,1,3,7,6,8,5] => 0100101 => 1010010 => 0101101
[2,5,1,3,7,6,8,4] => 0100101 => 1010010 => 0101101
[2,8,3,5,7,6,1,4] => 0100110 => 0110010 => 1001101
[6,8,2,3,5,7,1,4] => 0100010 => 0100010 => 1011101
[6,7,1,3,5,8,2,4] => 0100010 => 0100010 => 1011101
[8,3,5,7,6,1,2,4] => 1001100 => 0011001 => 1100110
[5,1,2,3,7,6,8,4] => 1000101 => 1010001 => 0101110
[3,1,2,4,7,6,8,5] => 1000101 => 1010001 => 0101110
[10,8,9,5,6,7,1,2,3,4] => 101001000 => 000100101 => 111011010
[10,8,9,4,5,6,1,2,3,7] => 101001000 => 000100101 => 111011010
[10,7,8,5,6,9,1,2,3,4] => 101001000 => 000100101 => 111011010
[10,7,8,4,5,9,1,2,3,6] => 101001000 => 000100101 => 111011010
[10,6,7,4,5,8,1,2,3,9] => 101001000 => 000100101 => 111011010
[10,7,8,3,4,9,1,2,5,6] => 101001000 => 000100101 => 111011010
[10,6,7,3,4,8,1,2,5,9] => 101001000 => 000100101 => 111011010
[9,8,10,5,6,7,1,2,3,4] => 101001000 => 000100101 => 111011010
[9,8,10,4,5,6,1,2,3,7] => 101001000 => 000100101 => 111011010
[9,7,10,5,6,8,1,2,3,4] => 101001000 => 000100101 => 111011010
[9,7,10,4,5,8,1,2,3,6] => 101001000 => 000100101 => 111011010
[9,6,10,4,5,7,1,2,3,8] => 101001000 => 000100101 => 111011010
[9,7,10,3,4,8,1,2,5,6] => 101001000 => 000100101 => 111011010
[9,6,10,3,4,7,1,2,5,8] => 101001000 => 000100101 => 111011010
[8,7,9,5,6,10,1,2,3,4] => 101001000 => 000100101 => 111011010
[8,7,9,4,5,10,1,2,3,6] => 101001000 => 000100101 => 111011010
[8,6,9,4,5,10,1,2,3,7] => 101001000 => 000100101 => 111011010
[7,6,8,4,5,9,1,2,3,10] => 101001000 => 000100101 => 111011010
[8,7,9,3,4,10,1,2,5,6] => 101001000 => 000100101 => 111011010
[8,6,9,3,4,10,1,2,5,7] => 101001000 => 000100101 => 111011010
[7,6,8,3,4,9,1,2,5,10] => 101001000 => 000100101 => 111011010
[9,6,10,5,7,8,1,2,3,4] => 101001000 => 000100101 => 111011010
[9,6,10,4,7,8,1,2,3,5] => 101001000 => 000100101 => 111011010
[9,5,10,4,6,7,1,2,3,8] => 101001000 => 000100101 => 111011010
[9,6,10,3,7,8,1,2,4,5] => 101001000 => 000100101 => 111011010
[9,5,10,3,6,7,1,2,4,8] => 101001000 => 000100101 => 111011010
[8,6,9,5,7,10,1,2,3,4] => 101001000 => 000100101 => 111011010
[8,6,9,4,7,10,1,2,3,5] => 101001000 => 000100101 => 111011010
[8,5,9,4,6,10,1,2,3,7] => 101001000 => 000100101 => 111011010
[7,5,8,4,6,9,1,2,3,10] => 101001000 => 000100101 => 111011010
[8,6,9,3,7,10,1,2,4,5] => 101001000 => 000100101 => 111011010
[8,5,9,3,6,10,1,2,4,7] => 101001000 => 000100101 => 111011010
[7,5,8,3,6,9,1,2,4,10] => 101001000 => 000100101 => 111011010
[8,4,9,3,5,10,1,2,6,7] => 101001000 => 000100101 => 111011010
[7,4,8,3,5,9,1,2,6,10] => 101001000 => 000100101 => 111011010
[9,6,10,2,7,8,1,3,4,5] => 101001000 => 000100101 => 111011010
[9,5,10,2,6,7,1,3,4,8] => 101001000 => 000100101 => 111011010
[8,6,9,2,7,10,1,3,4,5] => 101001000 => 000100101 => 111011010
[8,5,9,2,6,10,1,3,4,7] => 101001000 => 000100101 => 111011010
[7,5,8,2,6,9,1,3,4,10] => 101001000 => 000100101 => 111011010
[8,4,9,2,5,10,1,3,6,7] => 101001000 => 000100101 => 111011010
[7,4,8,2,5,9,1,3,6,10] => 101001000 => 000100101 => 111011010
[8,1,2,4,3,6,5,7] => 1001010 => 0101001 => 1010110
[8,1,3,5,6,2,7,4] => 1000101 => 1010001 => 0101110
[8,1,3,4,2,6,7,5] => 1001001 => 1001001 => 0110110
[8,1,3,2,4,5,7,6] => 1010001 => 1000101 => 0111010
[2,7,8,3,4,5,6,1] => 0010001 => 1000100 => 0111011
[2,6,3,8,4,5,7,1] => 0101001 => 1001010 => 0110101
[6,3,2,1,4,5,8,7] => 1110001 => 1000111 => 0111000
[7,3,1,4,2,6,8,5] => 1101001 => 1001011 => 0110100
[7,4,1,5,6,8,2,3] => 1100010 => 0100011 => 1011100
[4,7,8,5,6,1,2,3] => 0010100 => 0010100 => 1101011
[3,7,8,5,6,2,1,4] => 0010110 => 0110100 => 1001011
[3,7,8,4,2,6,1,5] => 0011010 => 0101100 => 1010011
[3,7,8,2,4,5,1,6] => 0010010 => 0100100 => 1011011
[3,6,2,8,4,5,1,7] => 0101010 => 0101010 => 1010101
[2,3,6,7,4,5,8,1] => 0001001 => 1001000 => 0110111
[3,5,2,4,8,6,1,7] => 0100110 => 0110010 => 1001101
[3,5,4,2,8,7,1,6] => 0110110 => 0110110 => 1001001
[4,6,5,8,7,1,2,3] => 0101100 => 0011010 => 1100101
[6,4,5,1,7,8,2,3] => 1010010 => 0100101 => 1011010
[7,4,1,2,3,8,5,6] => 1100010 => 0100011 => 1011100
[6,2,4,1,3,7,5,8] => 1010010 => 0100101 => 1011010
[2,6,4,8,3,7,5,1] => 0101011 => 1101010 => 0010101
[2,6,5,8,7,3,4,1] => 0101101 => 1011010 => 0100101
[6,2,5,1,7,3,4,8] => 1010100 => 0010101 => 1101010
[6,5,2,1,8,3,4,7] => 1110100 => 0010111 => 1101000
[2,5,6,7,8,3,4,1] => 0000101 => 1010000 => 0101111
[2,4,6,7,3,8,5,1] => 0001011 => 1101000 => 0010111
[4,2,6,7,3,1,5,8] => 1001100 => 0011001 => 1100110
[4,7,8,2,3,1,5,6] => 0010100 => 0010100 => 1101011
[4,7,8,3,2,1,6,5] => 0011101 => 1011100 => 0100011
[5,6,4,8,1,7,2,3] => 0101010 => 0101010 => 1010101
[5,6,3,8,1,2,7,4] => 0101001 => 1001010 => 0110101
[4,2,5,3,7,1,6,8] => 1010100 => 0010101 => 1101010
[4,3,6,7,2,1,8,5] => 1001101 => 1011001 => 0100110
[3,4,6,7,2,8,1,5] => 0001010 => 0101000 => 1010111
[3,4,5,2,7,8,1,6] => 0010010 => 0100100 => 1011011
[3,4,2,5,6,8,1,7] => 0100010 => 0100010 => 1011101
[5,2,7,8,6,4,1,3] => 1001110 => 0111001 => 1000110
[5,1,2,7,8,6,4,3] => 1000111 => 1110001 => 0001110
[4,7,1,8,6,5,2,3] => 0101110 => 0111010 => 1000101
[4,7,1,2,8,6,5,3] => 0100111 => 1110010 => 0001101
[4,6,8,1,2,7,5,3] => 0010011 => 1100100 => 0011011
[6,8,7,1,5,3,2,4] => 0110110 => 0110110 => 1001001
[6,8,7,3,5,1,2,4] => 0110100 => 0010110 => 1101001
[7,8,1,6,3,5,2,4] => 0101010 => 0101010 => 1010101
[7,8,1,3,6,5,2,4] => 0100110 => 0110010 => 1001101
[7,8,3,6,5,2,1,4] => 0101110 => 0111010 => 1000101
[4,7,2,8,6,1,5,3] => 0101101 => 1011010 => 0100101
[1,7,3,4,8,6,5,2] => 0100111 => 1110010 => 0001101
[4,2,7,1,8,6,5,3] => 1010111 => 1110101 => 0001010
[7,8,2,3,6,5,1,4] => 0100110 => 0110010 => 1001101
[8,5,7,1,6,2,3,4] => 1010100 => 0010101 => 1101010
[8,5,7,1,2,6,3,4] => 1010010 => 0100101 => 1011010
[6,8,2,7,1,3,5,4] => 0101001 => 1001010 => 0110101
[6,8,7,2,5,3,1,4] => 0110110 => 0110110 => 1001001
[6,2,4,8,7,1,5,3] => 1001101 => 1011001 => 0100110
[1,6,8,3,7,4,5,2] => 0010101 => 1010100 => 0101011
[1,6,8,3,4,7,5,2] => 0010011 => 1100100 => 0011011
[6,2,4,8,1,7,5,3] => 1001011 => 1101001 => 0010110
[6,8,7,2,3,5,1,4] => 0110010 => 0100110 => 1011001
[6,8,2,1,7,3,5,4] => 0110101 => 1010110 => 0101001
[8,5,7,2,1,6,3,4] => 1011010 => 0101101 => 1010010
[8,5,7,1,2,3,6,4] => 1010001 => 1000101 => 0111010
[8,7,6,2,1,4,3,5] => 1111010 => 0101111 => 1010000
[8,5,7,2,3,1,6,4] => 1010101 => 1010101 => 0101010
[5,8,4,2,7,1,6,3] => 0110101 => 1010110 => 0101001
[1,8,7,5,3,4,6,2] => 0111001 => 1001110 => 0110001
[1,8,7,3,5,4,6,2] => 0110101 => 1010110 => 0101001
[8,2,5,4,7,1,6,3] => 1010101 => 1010101 => 0101010
[8,5,2,7,3,1,6,4] => 1101101 => 1011011 => 0100100
[8,7,6,2,4,3,1,5] => 1110110 => 0110111 => 1001000
[8,7,6,1,2,4,3,5] => 1110010 => 0100111 => 1011000
[8,7,6,1,4,2,3,5] => 1110100 => 0010111 => 1101000
[8,7,6,4,1,3,2,5] => 1111010 => 0101111 => 1010000
[5,8,4,7,2,1,6,3] => 0101101 => 1011010 => 0100101
[1,8,7,5,4,3,6,2] => 0111101 => 1011110 => 0100001
[1,6,8,4,3,7,5,2] => 0011011 => 1101100 => 0010011
[6,8,7,3,2,5,1,4] => 0111010 => 0101110 => 1010001
[6,8,1,7,3,2,5,4] => 0101101 => 1011010 => 0100101
[8,5,7,3,1,6,2,4] => 1011010 => 0101101 => 1010010
[8,5,7,1,3,2,6,4] => 1010101 => 1010101 => 0101010
[8,5,7,3,1,2,6,4] => 1011001 => 1001101 => 0110010
[5,8,4,7,1,2,6,3] => 0101001 => 1001010 => 0110101
[5,8,4,1,7,2,6,3] => 0110101 => 1010110 => 0101001
[5,8,4,7,1,6,2,3] => 0101010 => 0101010 => 1010101
[8,1,2,6,5,7,4,3] => 1001011 => 1101001 => 0010110
[8,2,5,6,7,4,1,3] => 1000110 => 0110001 => 1001110
[4,8,5,7,1,6,2,3] => 0101010 => 0101010 => 1010101
[4,8,5,7,1,2,6,3] => 0101001 => 1001010 => 0110101
[4,8,5,1,7,2,6,3] => 0110101 => 1010110 => 0101001
[8,5,3,1,7,2,6,4] => 1110101 => 1010111 => 0101000
[8,5,3,7,1,2,6,4] => 1101001 => 1001011 => 0110100
[6,8,1,3,7,2,5,4] => 0100101 => 1010010 => 0101101
[4,6,2,8,1,7,5,3] => 0101011 => 1101010 => 0010101
[1,6,4,8,3,7,5,2] => 0101011 => 1101010 => 0010101
[1,8,7,4,5,3,6,2] => 0110101 => 1010110 => 0101001
[4,8,5,7,2,1,6,3] => 0101101 => 1011010 => 0100101
[8,5,3,7,2,1,6,4] => 1101101 => 1011011 => 0100100
[8,7,6,3,1,4,2,5] => 1111010 => 0101111 => 1010000
[8,7,6,1,3,2,4,5] => 1110100 => 0010111 => 1101000
[8,5,3,2,7,1,6,4] => 1110101 => 1010111 => 0101000
[4,8,5,2,7,1,6,3] => 0110101 => 1010110 => 0101001
[1,8,7,4,3,5,6,2] => 0111001 => 1001110 => 0110001
[1,8,7,3,4,5,6,2] => 0110001 => 1000110 => 0111001
[8,2,4,5,7,1,6,3] => 1000101 => 1010001 => 0101110
[8,5,2,3,7,1,6,4] => 1100101 => 1010011 => 0101100
[6,3,1,5,4,2,8,7] => 1101101 => 1011011 => 0100100
[8,3,1,5,2,7,6,4] => 1101011 => 1101011 => 0010100
[8,5,4,2,1,7,3,6] => 1111010 => 0101111 => 1010000
[8,5,4,2,1,7,6,3] => 1111011 => 1101111 => 0010000
[6,5,4,2,1,3,8,7] => 1111001 => 1001111 => 0110000
[6,5,4,2,3,1,8,7] => 1110101 => 1010111 => 0101000
[6,3,2,5,1,4,8,7] => 1101001 => 1001011 => 0110100
[6,5,4,3,1,2,8,7] => 1111001 => 1001111 => 0110000
[6,5,4,1,3,2,8,7] => 1110101 => 1010111 => 0101000
[8,5,4,1,2,7,6,3] => 1110011 => 1100111 => 0011000
[8,7,4,1,6,3,2,5] => 1110110 => 0110111 => 1001000
[8,7,4,1,6,3,5,2] => 1110101 => 1010111 => 0101000
[8,7,4,1,6,5,3,2] => 1110111 => 1110111 => 0001000
[8,5,4,1,3,7,6,2] => 1110011 => 1100111 => 0011000
[8,5,4,3,1,7,6,2] => 1111011 => 1101111 => 0010000
[8,3,2,5,1,7,6,4] => 1101011 => 1101011 => 0010100
[2,1,8,5,3,7,6,4] => 1011011 => 1101101 => 0010010
[8,3,2,5,1,7,4,6] => 1101010 => 0101011 => 1010100
[8,5,4,3,1,7,2,6] => 1111010 => 0101111 => 1010000
[8,5,4,1,3,7,2,6] => 1110010 => 0100111 => 1011000
[8,7,4,1,6,5,2,3] => 1110110 => 0110111 => 1001000
[8,7,4,1,6,2,5,3] => 1110101 => 1010111 => 0101000
[8,7,6,5,2,1,4,3] => 1111101 => 1011111 => 0100000
[8,7,4,3,6,2,1,5] => 1110110 => 0110111 => 1001000
[8,3,2,7,6,4,1,5] => 1101110 => 0111011 => 1000100
[2,1,8,7,6,4,3,5] => 1011110 => 0111101 => 1000010
[2,1,8,7,6,4,5,3] => 1011101 => 1011101 => 0100010
[8,3,2,7,6,4,5,1] => 1101101 => 1011011 => 0100100
[8,7,4,3,6,2,5,1] => 1110101 => 1010111 => 0101000
[8,7,6,5,2,4,3,1] => 1111011 => 1101111 => 0010000
[8,5,4,2,3,7,6,1] => 1110011 => 1100111 => 0011000
[8,7,4,2,6,5,3,1] => 1110111 => 1110111 => 0001000
[8,7,4,2,6,3,5,1] => 1110101 => 1010111 => 0101000
[8,7,4,2,6,3,1,5] => 1110110 => 0110111 => 1001000
[8,3,1,7,6,4,2,5] => 1101110 => 0111011 => 1000100
[8,3,1,7,6,4,5,2] => 1101101 => 1011011 => 0100100
[8,3,1,7,6,5,4,2] => 1101111 => 1111011 => 0000100
[8,3,1,5,4,7,6,2] => 1101011 => 1101011 => 0010100
[8,3,1,5,4,7,2,6] => 1101010 => 0101011 => 1010100
[8,3,1,7,6,5,2,4] => 1101110 => 0111011 => 1000100
[8,3,1,7,6,2,5,4] => 1101101 => 1011011 => 0100100
[8,7,4,2,6,1,5,3] => 1110101 => 1010111 => 0101000
[8,7,4,2,6,5,1,3] => 1110110 => 0110111 => 1001000
[8,5,4,2,3,7,1,6] => 1110010 => 0100111 => 1011000
[8,3,2,5,4,7,1,6] => 1101010 => 0101011 => 1010100
[2,1,8,5,4,7,3,6] => 1011010 => 0101101 => 1010010
[8,3,2,7,6,5,1,4] => 1101110 => 0111011 => 1000100
[8,7,4,3,6,5,1,2] => 1110110 => 0110111 => 1001000
[8,7,6,5,3,1,4,2] => 1111101 => 1011111 => 0100000
[8,7,6,5,1,3,2,4] => 1111010 => 0101111 => 1010000
[8,7,6,5,1,3,4,2] => 1111001 => 1001111 => 0110000
[8,7,6,5,1,4,3,2] => 1111011 => 1101111 => 0010000
[8,7,6,5,4,1,3,2] => 1111101 => 1011111 => 0100000
[8,7,4,3,6,1,5,2] => 1110101 => 1010111 => 0101000
[8,3,2,7,6,1,5,4] => 1101101 => 1011011 => 0100100
[2,1,8,7,6,3,5,4] => 1011101 => 1011101 => 0100010
[8,3,2,7,6,1,4,5] => 1101100 => 0011011 => 1100100
[8,7,6,5,1,4,2,3] => 1111010 => 0101111 => 1010000
[8,7,6,5,1,2,4,3] => 1111001 => 1001111 => 0110000
[7,3,5,1,8,4,6,2] => 1010101 => 1010101 => 0101010
[7,3,4,1,8,5,6,2] => 1010101 => 1010101 => 0101010
[4,5,6,2,1,8,7,3] => 0011011 => 1101100 => 0010011
[1,6,5,2,7,4,3,8] => 0110110 => 0110110 => 1001001
[7,4,3,1,8,6,5,2] => 1110111 => 1110111 => 0001000
[7,6,5,1,8,4,3,2] => 1110111 => 1110111 => 0001000
[7,6,4,1,8,5,3,2] => 1110111 => 1110111 => 0001000
[6,4,2,1,8,7,5,3] => 1110111 => 1110111 => 0001000
[1,6,4,2,7,5,3,8] => 0110110 => 0110110 => 1001001
[1,5,3,2,7,6,4,8] => 0110110 => 0110110 => 1001001
[5,3,2,1,8,7,6,4] => 1110111 => 1110111 => 0001000
[2,5,3,1,7,8,6,4] => 0110011 => 1100110 => 0011001
[2,6,4,1,7,8,5,3] => 0110011 => 1100110 => 0011001
[2,6,5,1,7,8,4,3] => 0110011 => 1100110 => 0011001
[4,5,7,1,6,8,2,3] => 0010010 => 0100100 => 1011011
[6,5,1,2,8,4,3,7] => 1100110 => 0110011 => 1001100
[6,4,1,2,8,5,3,7] => 1100110 => 0110011 => 1001100
[5,3,1,2,8,6,4,7] => 1100110 => 0110011 => 1001100
[4,3,1,2,8,6,5,7] => 1100110 => 0110011 => 1001100
[6,1,2,5,8,3,4,7] => 1000100 => 0010001 => 1101110
[7,1,3,4,8,2,5,6] => 1000100 => 0010001 => 1101110
[7,1,5,6,8,2,3,4] => 1000100 => 0010001 => 1101110
[2,6,1,5,7,8,3,4] => 0100010 => 0100010 => 1011101
[7,4,1,6,8,5,2,3] => 1100110 => 0110011 => 1001100
[5,2,3,1,8,6,7,4] => 1010101 => 1010101 => 0101010
[3,5,2,1,6,8,7,4] => 0110011 => 1100110 => 0011001
[1,6,2,5,7,3,4,8] => 0100100 => 0010010 => 1101101
[6,2,1,5,8,7,3,4] => 1100110 => 0110011 => 1001100
[7,3,1,5,8,6,2,4] => 1100110 => 0110011 => 1001100
[6,2,4,1,8,5,7,3] => 1010101 => 1010101 => 0101010
[6,2,5,1,8,4,7,3] => 1010101 => 1010101 => 0101010
[7,3,1,4,8,6,2,5] => 1100110 => 0110011 => 1001100
[6,2,1,4,8,7,3,5] => 1100110 => 0110011 => 1001100
[1,6,2,4,7,3,5,8] => 0100100 => 0010010 => 1101101
[5,2,1,3,8,7,4,6] => 1100110 => 0110011 => 1001100
[7,4,1,3,8,5,2,6] => 1100110 => 0110011 => 1001100
[7,5,1,3,8,4,2,6] => 1100110 => 0110011 => 1001100
[3,6,7,1,4,8,2,5] => 0010010 => 0100100 => 1011011
[7,6,1,4,8,3,2,5] => 1100110 => 0110011 => 1001100
[4,2,1,3,8,7,5,6] => 1100110 => 0110011 => 1001100
[2,6,1,4,7,8,3,5] => 0100010 => 0100010 => 1011101
[7,1,4,6,8,2,3,5] => 1000100 => 0010001 => 1101110
[7,1,3,5,8,2,4,6] => 1000100 => 0010001 => 1101110
[6,1,2,4,8,3,5,7] => 1000100 => 0010001 => 1101110
[5,2,3,1,6,4,8,7] => 1010101 => 1010101 => 0101010
[7,4,5,2,3,1,8,6] => 1010101 => 1010101 => 0101010
[8,6,7,3,5,2,4,1] => 1010101 => 1010101 => 0101010
[7,3,5,2,4,1,8,6] => 1010101 => 1010101 => 0101010
[6,3,5,2,4,1,8,7] => 1010101 => 1010101 => 0101010
[5,2,4,1,6,3,8,7] => 1010101 => 1010101 => 0101010
[4,1,6,3,5,2,8,7] => 1010101 => 1010101 => 0101010
[6,3,4,1,5,2,8,7] => 1010101 => 1010101 => 0101010
[5,2,6,3,4,1,8,7] => 1010101 => 1010101 => 0101010
[5,2,7,3,4,1,8,6] => 1010101 => 1010101 => 0101010
[5,2,8,6,7,3,4,1] => 1010101 => 1010101 => 0101010
[6,2,8,5,7,3,4,1] => 1010101 => 1010101 => 0101010
[6,2,7,3,4,1,8,5] => 1010101 => 1010101 => 0101010
[7,3,4,1,5,2,8,6] => 1010101 => 1010101 => 0101010
[4,1,7,3,5,2,8,6] => 1010101 => 1010101 => 0101010
[3,1,7,4,5,2,8,6] => 1010101 => 1010101 => 0101010
[2,1,7,4,5,3,8,6] => 1010101 => 1010101 => 0101010
[3,1,8,6,7,4,5,2] => 1010101 => 1010101 => 0101010
[4,1,8,6,7,3,5,2] => 1010101 => 1010101 => 0101010
[8,6,7,3,4,1,5,2] => 1010101 => 1010101 => 0101010
[8,5,7,3,4,1,6,2] => 1010101 => 1010101 => 0101010
[8,5,6,2,7,3,4,1] => 1010101 => 1010101 => 0101010
[8,4,7,3,5,1,6,2] => 1010101 => 1010101 => 0101010
[5,1,8,4,7,3,6,2] => 1010101 => 1010101 => 0101010
[4,1,8,5,7,3,6,2] => 1010101 => 1010101 => 0101010
[3,1,8,5,7,4,6,2] => 1010101 => 1010101 => 0101010
[2,1,8,5,7,4,6,3] => 1010101 => 1010101 => 0101010
[2,1,7,4,6,3,8,5] => 1010101 => 1010101 => 0101010
[3,1,7,4,6,2,8,5] => 1010101 => 1010101 => 0101010
[4,1,7,3,6,2,8,5] => 1010101 => 1010101 => 0101010
[5,1,7,3,6,2,8,4] => 1010101 => 1010101 => 0101010
[6,2,7,3,5,1,8,4] => 1010101 => 1010101 => 0101010
[6,2,8,4,7,3,5,1] => 1010101 => 1010101 => 0101010
[8,4,7,3,6,2,5,1] => 1010101 => 1010101 => 0101010
[7,3,6,2,5,1,8,4] => 1010101 => 1010101 => 0101010
[6,2,5,1,7,3,8,4] => 1010101 => 1010101 => 0101010
[5,2,4,1,7,3,8,6] => 1010101 => 1010101 => 0101010
[6,2,4,1,7,3,8,5] => 1010101 => 1010101 => 0101010
[8,5,7,3,6,2,4,1] => 1010101 => 1010101 => 0101010
[8,5,7,4,6,2,3,1] => 1010101 => 1010101 => 0101010
[7,4,6,2,3,1,8,5] => 1010101 => 1010101 => 0101010
[6,2,3,1,7,4,8,5] => 1010101 => 1010101 => 0101010
[5,2,3,1,7,4,8,6] => 1010101 => 1010101 => 0101010
[4,2,3,1,7,5,8,6] => 1010101 => 1010101 => 0101010
[3,1,4,2,8,6,7,5] => 1010101 => 1010101 => 0101010
[6,2,3,1,8,5,7,4] => 1010101 => 1010101 => 0101010
[8,5,6,2,3,1,7,4] => 1010101 => 1010101 => 0101010
[7,4,8,5,6,2,3,1] => 1010101 => 1010101 => 0101010
[7,3,8,5,6,2,4,1] => 1010101 => 1010101 => 0101010
[8,5,6,2,4,1,7,3] => 1010101 => 1010101 => 0101010
[5,2,4,1,8,6,7,3] => 1010101 => 1010101 => 0101010
[4,1,5,2,8,6,7,3] => 1010101 => 1010101 => 0101010
[3,1,5,2,8,6,7,4] => 1010101 => 1010101 => 0101010
[2,1,6,3,8,5,7,4] => 1010101 => 1010101 => 0101010
[3,1,6,2,8,5,7,4] => 1010101 => 1010101 => 0101010
[4,1,6,2,8,5,7,3] => 1010101 => 1010101 => 0101010
[5,1,6,2,8,4,7,3] => 1010101 => 1010101 => 0101010
[8,4,6,2,5,1,7,3] => 1010101 => 1010101 => 0101010
[7,3,8,4,6,2,5,1] => 1010101 => 1010101 => 0101010
[6,2,7,3,8,4,5,1] => 1010101 => 1010101 => 0101010
[8,4,5,1,6,2,7,3] => 1010101 => 1010101 => 0101010
[5,1,8,4,6,2,7,3] => 1010101 => 1010101 => 0101010
[4,1,8,5,6,2,7,3] => 1010101 => 1010101 => 0101010
[3,1,8,5,6,2,7,4] => 1010101 => 1010101 => 0101010
[2,1,8,5,6,3,7,4] => 1010101 => 1010101 => 0101010
[2,1,7,4,8,5,6,3] => 1010101 => 1010101 => 0101010
[3,1,7,4,8,5,6,2] => 1010101 => 1010101 => 0101010
[4,1,7,3,8,5,6,2] => 1010101 => 1010101 => 0101010
[7,3,8,4,5,1,6,2] => 1010101 => 1010101 => 0101010
[8,4,5,1,7,3,6,2] => 1010101 => 1010101 => 0101010
[7,3,6,2,8,4,5,1] => 1010101 => 1010101 => 0101010
[7,8,5,6,1,3,4,2] => 0101001 => 1001010 => 0110101
[7,8,1,3,6,2,5,4] => 0100101 => 1010010 => 0101101
[1,3,8,4,7,2,5,6] => 0010100 => 0010100 => 1101011
[3,6,1,4,7,2,5,8] => 0100100 => 0010010 => 1101101
[4,6,1,2,5,7,3,8] => 0100010 => 0100010 => 1011101
[1,4,8,2,5,7,3,6] => 0010010 => 0100100 => 1011011
[7,8,2,4,5,6,1,3] => 0100010 => 0100010 => 1011101
[7,8,1,5,4,6,3,2] => 0101011 => 1101010 => 0010101
[7,8,2,1,6,3,4,5] => 0110100 => 0010110 => 1101001
[7,8,3,5,6,4,1,2] => 0100110 => 0110010 => 1001101
[7,8,1,4,2,3,6,5] => 0101001 => 1001010 => 0110101
[7,8,5,1,4,2,6,3] => 0110101 => 1010110 => 0101001
[7,8,4,5,3,1,6,2] => 0101101 => 1011010 => 0100101
[1,5,8,4,3,2,7,6] => 0011101 => 1011100 => 0100011
[5,6,1,4,3,2,7,8] => 0101100 => 0011010 => 1100101
[2,6,4,8,3,7,1,5] => 0101010 => 0101010 => 1010101
[1,4,6,8,3,7,5,2] => 0001011 => 1101000 => 0010111
[2,4,8,5,3,1,6,7] => 0011100 => 0011100 => 1100011
[2,5,8,1,4,7,6,3] => 0010011 => 1100100 => 0011011
[3,5,8,4,7,6,1,2] => 0010110 => 0110100 => 1001011
[1,6,2,4,7,3,8,5] => 0100101 => 1010010 => 0101101
[5,6,2,1,4,7,8,3] => 0110001 => 1000110 => 0111001
[4,6,2,5,3,1,8,7] => 0101101 => 1011010 => 0100101
[4,7,5,1,3,6,8,2] => 0110001 => 1000110 => 0111001
[7,5,3,6,2,4,1,8] => 1101010 => 0101011 => 1010100
[5,7,3,6,1,4,8,2] => 0101001 => 1001010 => 0110101
[5,3,6,7,2,1,8,4] => 1001101 => 1011001 => 0100110
[6,1,7,5,2,4,8,3] => 1011001 => 1001101 => 0110010
[6,3,1,2,4,5,8,7] => 1100001 => 1000011 => 0111100
[1,4,7,2,5,3,8,6] => 0010101 => 1010100 => 0101011
[4,6,7,8,3,5,1,2] => 0001010 => 0101000 => 1010111
[3,6,1,8,4,2,5,7] => 0101100 => 0011010 => 1100101
[1,6,7,5,8,2,4,3] => 0010101 => 1010100 => 0101011
[3,5,6,7,8,1,4,2] => 0000101 => 1010000 => 0101111
[3,6,5,7,8,2,1,4] => 0100110 => 0110010 => 1001101
[5,2,7,6,1,4,3,8] => 1011010 => 0101101 => 1010010
[2,5,7,6,8,1,3,4] => 0010100 => 0010100 => 1101011
[2,7,5,6,8,4,1,3] => 0100110 => 0110010 => 1001101
[2,1,6,8,4,5,3,7] => 1001010 => 0101001 => 1010110
[2,7,1,8,5,3,4,6] => 0101100 => 0011010 => 1100101
[3,7,6,8,5,4,1,2] => 0101110 => 0111010 => 1000101
[4,3,8,5,6,7,1,2] => 1010010 => 0100101 => 1011010
[4,2,8,1,6,3,7,5] => 1010101 => 1010101 => 0101010
[3,1,8,5,4,6,7,2] => 1011001 => 1001101 => 0110010
[3,2,8,4,5,6,1,7] => 1010010 => 0100101 => 1011010
[3,4,2,8,6,1,7,5] => 0101101 => 1011010 => 0100101
[3,4,7,1,5,2,6,8] => 0010100 => 0010100 => 1101011
[4,3,7,8,1,2,6,5] => 1001001 => 1001001 => 0110110
[1,7,3,8,5,2,6,4] => 0101101 => 1011010 => 0100101
[4,1,8,3,6,2,5,7] => 1010100 => 0010101 => 1101010
[5,7,8,6,3,2,1,4] => 0011110 => 0111100 => 1000011
[5,7,8,6,1,3,4,2] => 0011001 => 1001100 => 0110011
[7,6,5,8,1,3,4,2] => 1101001 => 1001011 => 0110100
[1,6,4,3,8,2,5,7] => 0110100 => 0010110 => 1101001
[7,1,3,4,8,2,6,5] => 1000101 => 1010001 => 0101110
[3,6,5,4,1,2,7,8] => 0111000 => 0001110 => 1110001
[2,4,5,1,7,8,6,3] => 0010011 => 1100100 => 0011011
[2,6,3,4,5,8,1,7] => 0100010 => 0100010 => 1011101
[2,6,4,1,8,3,7,5] => 0110101 => 1010110 => 0101001
[7,3,6,4,8,5,1,2] => 1010110 => 0110101 => 1001010
[7,2,1,4,8,3,5,6] => 1100100 => 0010011 => 1101100
[7,1,6,5,3,8,4,2] => 1011011 => 1101101 => 0010010
[7,2,5,6,3,8,1,4] => 1001010 => 0101001 => 1010110
[6,5,2,7,1,8,4,3] => 1101011 => 1101011 => 0010100
[5,6,2,7,3,1,4,8] => 0101100 => 0011010 => 1100101
[5,6,7,4,2,8,1,3] => 0011010 => 0101100 => 1010011
[5,7,6,4,1,8,3,2] => 0111011 => 1101110 => 0010001
[6,7,1,5,2,8,3,4] => 0101010 => 0101010 => 1010101
[1,7,5,2,4,8,3,6] => 0110010 => 0100110 => 1011001
[6,1,5,2,8,3,4,7] => 1010100 => 0010101 => 1101010
[6,7,5,3,8,4,1,2] => 0110110 => 0110110 => 1001001
[1,6,5,4,2,3,8,7] => 0111001 => 1001110 => 0110001
[7,1,5,3,4,2,8,6] => 1010101 => 1010101 => 0101010
[7,6,1,5,3,2,8,4] => 1101101 => 1011011 => 0100100
[7,5,6,4,1,2,8,3] => 1011001 => 1001101 => 0110010
[6,7,5,4,3,1,8,2] => 0111101 => 1011110 => 0100001
[7,5,2,4,3,1,6,8] => 1101100 => 0011011 => 1100100
[7,4,6,1,2,5,3,8] => 1010010 => 0100101 => 1011010
[7,1,4,2,5,3,6,8] => 1010100 => 0010101 => 1101010
[6,8,1,4,2,5,7,3] => 0101001 => 1001010 => 0110101
[1,6,4,2,5,7,3,8] => 0110010 => 0100110 => 1011001
[1,6,3,7,5,4,2,8] => 0101110 => 0111010 => 1000101
[6,8,1,3,7,5,4,2] => 0100111 => 1110010 => 0001101
[7,1,3,5,6,4,2,8] => 1000110 => 0110001 => 1001110
[7,3,1,6,4,5,2,8] => 1101010 => 0101011 => 1010100
[7,4,2,6,5,1,3,8] => 1101100 => 0011011 => 1100100
[7,4,6,3,1,5,2,8] => 1011010 => 0101101 => 1010010
[7,2,4,1,5,3,6,8] => 1010100 => 0010101 => 1101010
[7,2,3,5,4,1,6,8] => 1001100 => 0011001 => 1100110
[6,8,1,2,3,4,7,5] => 0100001 => 1000010 => 0111101
[1,5,7,2,3,8,6,4] => 0010011 => 1100100 => 0011011
[5,1,8,2,3,6,7,4] => 1010001 => 1000101 => 0111010
[5,8,2,3,7,6,4,1] => 0100111 => 1110010 => 0001101
[6,2,8,1,3,7,4,5] => 1010010 => 0100101 => 1011010
[6,8,2,3,5,4,7,1] => 0100101 => 1010010 => 0101101
[6,8,2,4,1,5,7,3] => 0101001 => 1001010 => 0110101
[6,8,3,1,2,4,7,5] => 0110001 => 1000110 => 0111001
[2,6,4,1,5,7,3,8] => 0110010 => 0100110 => 1011001
[2,6,3,5,7,1,4,8] => 0100100 => 0010010 => 1101101
[2,5,1,7,8,3,6,4] => 0100101 => 1010010 => 0101101
[2,5,3,6,8,4,7,1] => 0100101 => 1010010 => 0101101
[2,1,4,7,8,5,6,3] => 1000101 => 1010001 => 0101110
[2,4,7,6,8,5,1,3] => 0010110 => 0110100 => 1001011
[2,5,3,7,6,1,8,4] => 0101101 => 1011010 => 0100101
[2,5,7,8,1,4,6,3] => 0001001 => 1001000 => 0110111
[3,5,7,4,1,6,2,8] => 0011010 => 0101100 => 1010011
[5,3,4,1,8,6,7,2] => 1010101 => 1010101 => 0101010
[5,2,8,4,6,1,7,3] => 1010101 => 1010101 => 0101010
[5,2,1,8,6,3,7,4] => 1101101 => 1011011 => 0100100
[4,2,8,6,5,3,7,1] => 1011101 => 1011101 => 0100010
[4,2,8,5,7,6,3,1] => 1010111 => 1110101 => 0001010
[1,4,2,7,5,8,6,3] => 0101011 => 1101010 => 0010101
[4,1,8,6,7,5,3,2] => 1010111 => 1110101 => 0001010
[5,3,8,7,6,2,4,1] => 1011101 => 1011101 => 0100010
[5,8,4,7,6,2,1,3] => 0101110 => 0111010 => 1000101
[5,8,7,4,3,6,1,2] => 0111010 => 0101110 => 1010001
[6,4,8,3,1,7,2,5] => 1011010 => 0101101 => 1010010
[6,4,2,8,7,1,3,5] => 1101100 => 0011011 => 1100100
[6,3,8,7,2,5,1,4] => 1011010 => 0101101 => 1010010
[5,8,3,7,1,6,4,2] => 0101011 => 1101010 => 0010101
[5,1,3,8,6,7,2,4] => 1001010 => 0101001 => 1010110
[1,5,3,7,8,6,2,4] => 0100110 => 0110010 => 1001101
[1,5,7,6,4,2,8,3] => 0011101 => 1011100 => 0100011
[5,8,7,4,1,6,2,3] => 0111010 => 0101110 => 1010001
[6,4,8,1,2,7,3,5] => 1010010 => 0100101 => 1011010
[6,8,5,1,2,3,7,4] => 0110001 => 1000110 => 0111001
[6,8,5,2,4,3,7,1] => 0110101 => 1010110 => 0101001
[6,8,5,3,1,2,7,4] => 0111001 => 1001110 => 0110001
[4,5,1,2,7,6,3,8] => 0100110 => 0110010 => 1001101
[4,5,1,2,6,8,7,3] => 0100011 => 1100010 => 0011101
[3,5,6,1,8,4,7,2] => 0010101 => 1010100 => 0101011
[3,5,7,1,2,8,6,4] => 0010011 => 1100100 => 0011011
[3,6,2,7,5,1,4,8] => 0101100 => 0011010 => 1100101
[4,2,6,1,7,3,5,8] => 1010100 => 0010101 => 1101010
[4,6,3,1,2,7,5,8] => 0110010 => 0100110 => 1011001
[4,5,3,1,7,6,2,8] => 0110110 => 0110110 => 1001001
[4,2,5,7,1,6,3,8] => 1001010 => 0101001 => 1010110
[3,5,2,7,8,1,6,4] => 0100101 => 1010010 => 0101101
[3,1,4,7,5,6,2,8] => 1001010 => 0101001 => 1010110
[3,4,6,5,8,7,1,2] => 0010110 => 0110100 => 1001011
[3,1,4,5,8,6,7,2] => 1000101 => 1010001 => 0101110
[3,4,6,8,5,2,7,1] => 0001101 => 1011000 => 0100111
[3,5,6,2,8,4,7,1] => 0010101 => 1010100 => 0101011
[4,2,5,6,1,8,7,3] => 1001011 => 1101001 => 0010110
[4,5,3,1,6,8,7,2] => 0110011 => 1100110 => 0011001
[2,1,7,5,8,6,4,3] => 1010111 => 1110101 => 0001010
[1,2,7,5,3,8,6,4] => 0011011 => 1101100 => 0010011
[4,1,2,7,3,8,6,5] => 1001011 => 1101001 => 0010110
[6,4,1,7,5,2,3,8] => 1101100 => 0011011 => 1100100
[6,1,3,7,5,2,4,8] => 1001100 => 0011001 => 1100110
[3,1,2,6,8,5,4,7] => 1000110 => 0110001 => 1001110
[3,7,1,2,5,4,8,6] => 0100101 => 1010010 => 0101101
[1,3,7,2,4,8,6,5] => 0010011 => 1100100 => 0011011
[2,4,1,7,8,6,5,3] => 0100111 => 1110010 => 0001101
[3,4,7,5,1,8,6,2] => 0011011 => 1101100 => 0010011
[2,7,4,1,5,8,6,3] => 0110011 => 1100110 => 0011001
[2,3,7,1,5,8,6,4] => 0010011 => 1100100 => 0011011
[5,2,8,1,3,7,4,6] => 1010010 => 0100101 => 1011010
[2,1,6,8,3,4,7,5] => 1001001 => 1001001 => 0110110
[2,6,8,3,1,5,7,4] => 0011001 => 1001100 => 0110011
[2,8,6,4,1,5,7,3] => 0111001 => 1001110 => 0110001
[3,6,4,8,5,1,7,2] => 0101101 => 1011010 => 0100101
[6,3,7,4,5,1,8,2] => 1010101 => 1010101 => 0101010
[2,6,3,7,5,8,1,4] => 0101010 => 0101010 => 1010101
[5,2,1,7,8,3,4,6] => 1100100 => 0010011 => 1101100
[4,7,2,3,6,8,1,5] => 0100010 => 0100010 => 1011101
[5,2,7,3,6,8,1,4] => 1010010 => 0100101 => 1011010
[5,7,4,6,2,8,1,3] => 0101010 => 0101010 => 1010101
[5,7,3,4,6,1,8,2] => 0100101 => 1010010 => 0101101
[5,3,8,4,6,1,7,2] => 1010101 => 1010101 => 0101010
[8,5,2,4,1,6,7,3] => 1101001 => 1001011 => 0110100
[8,2,3,5,1,6,7,4] => 1001001 => 1001001 => 0110110
[4,2,8,3,6,7,1,5] => 1010010 => 0100101 => 1011010
[2,4,8,1,7,3,5,6] => 0010100 => 0010100 => 1101011
[8,4,1,3,6,2,5,7] => 1100100 => 0010011 => 1101100
[4,8,3,1,7,2,5,6] => 0110100 => 0010110 => 1101001
[5,2,8,4,7,1,6,3] => 1010101 => 1010101 => 0101010
[5,8,4,7,3,1,6,2] => 0101101 => 1011010 => 0100101
[4,6,8,3,1,7,5,2] => 0011011 => 1101100 => 0010011
[6,3,8,2,7,1,5,4] => 1010101 => 1010101 => 0101010
[6,3,1,8,2,4,7,5] => 1101001 => 1001011 => 0110100
[5,3,8,1,2,6,4,7] => 1010010 => 0100101 => 1011010
[5,7,4,1,6,2,3,8] => 0110100 => 0010110 => 1101001
[8,5,4,1,2,6,3,7] => 1110010 => 0100111 => 1011000
[5,1,8,4,2,7,3,6] => 1011010 => 0101101 => 1010010
[1,6,2,8,5,3,7,4] => 0101101 => 1011010 => 0100101
[6,8,5,3,1,7,4,2] => 0111011 => 1101110 => 0010001
[8,4,5,1,2,6,3,7] => 1010010 => 0100101 => 1011010
[5,6,3,7,1,2,4,8] => 0101000 => 0001010 => 1110101
[1,6,3,7,2,8,4,5] => 0101010 => 0101010 => 1010101
[6,3,2,7,8,5,1,4] => 1100110 => 0110011 => 1001100
[4,5,7,8,3,1,6,2] => 0001101 => 1011000 => 0100111
[4,7,2,5,8,1,6,3] => 0100101 => 1010010 => 0101101
[8,1,3,4,6,2,5,7] => 1000100 => 0010001 => 1101110
[3,8,2,4,6,7,1,5] => 0100010 => 0100010 => 1011101
[3,5,6,8,2,7,1,4] => 0001010 => 0101000 => 1010111
[2,4,5,6,8,1,7,3] => 0000101 => 1010000 => 0101111
[4,8,3,5,6,1,7,2] => 0100101 => 1010010 => 0101101
[5,6,2,3,7,8,1,4] => 0100010 => 0100010 => 1011101
[5,8,7,3,4,1,2,6] => 0110100 => 0010110 => 1101001
[6,8,7,3,4,1,2,5] => 0110100 => 0010110 => 1101001
[6,8,4,7,1,5,3,2] => 0101011 => 1101010 => 0010101
[6,8,4,7,2,5,3,1] => 0101011 => 1101010 => 0010101
[5,4,8,7,2,6,3,1] => 1011011 => 1101101 => 0010010
[5,4,8,7,1,6,3,2] => 1011011 => 1101101 => 0010010
[5,3,8,7,6,1,2,4] => 1011100 => 0011101 => 1100010
[4,3,8,7,6,1,2,5] => 1011100 => 0011101 => 1100010
[4,8,3,7,5,1,2,6] => 0101100 => 0011010 => 1100101
[8,3,4,6,5,1,2,7] => 1001100 => 0011001 => 1100110
[3,8,4,7,5,1,2,6] => 0101100 => 0011010 => 1100101
[3,4,8,7,6,1,2,5] => 0011100 => 0011100 => 1100011
[3,5,8,7,6,1,2,4] => 0011100 => 0011100 => 1100011
[4,5,8,7,6,1,2,3] => 0011100 => 0011100 => 1100011
[4,5,8,7,1,6,3,2] => 0011011 => 1101100 => 0010011
[4,5,8,7,2,6,3,1] => 0011011 => 1101100 => 0010011
[3,5,8,2,7,6,4,1] => 0010111 => 1110100 => 0001011
[3,5,8,1,7,6,4,2] => 0010111 => 1110100 => 0001011
[2,5,8,1,7,6,4,3] => 0010111 => 1110100 => 0001011
[2,5,8,7,1,6,3,4] => 0011010 => 0101100 => 1010011
[2,4,8,7,1,6,3,5] => 0011010 => 0101100 => 1010011
[2,8,4,7,1,5,3,6] => 0101010 => 0101010 => 1010101
[8,2,4,6,1,5,3,7] => 1001010 => 0101001 => 1010110
[8,1,4,6,2,5,3,7] => 1001010 => 0101001 => 1010110
[1,8,4,7,2,5,3,6] => 0101010 => 0101010 => 1010101
[1,4,8,7,2,6,3,5] => 0011010 => 0101100 => 1010011
[1,5,8,7,2,6,3,4] => 0011010 => 0101100 => 1010011
[1,5,8,2,7,6,4,3] => 0010111 => 1110100 => 0001011
[2,5,8,3,7,6,4,1] => 0010111 => 1110100 => 0001011
[1,4,2,8,7,6,5,3] => 0101111 => 1111010 => 0000101
[1,3,8,2,7,6,4,5] => 0010110 => 0110100 => 1001011
[1,8,3,2,7,5,4,6] => 0110110 => 0110110 => 1001001
[8,1,3,2,6,5,4,7] => 1010110 => 0110101 => 1001010
[8,2,3,1,6,5,4,7] => 1010110 => 0110101 => 1001010
[2,8,3,1,7,5,4,6] => 0110110 => 0110110 => 1001001
[2,3,8,1,7,6,4,5] => 0010110 => 0110100 => 1001011
[3,4,1,8,7,6,5,2] => 0101111 => 1111010 => 0000101
[4,3,1,8,7,6,5,2] => 1101111 => 1111011 => 0000100
[4,2,1,8,7,6,5,3] => 1101111 => 1111011 => 0000100
[3,8,2,1,7,5,4,6] => 0110110 => 0110110 => 1001001
[8,3,2,1,6,5,4,7] => 1110110 => 0110111 => 1001000
[8,4,2,6,1,5,3,7] => 1101010 => 0101011 => 1010100
[4,2,8,7,1,6,3,5] => 1011010 => 0101101 => 1010010
[5,2,8,7,1,6,3,4] => 1011010 => 0101101 => 1010010
[5,2,8,1,7,6,4,3] => 1010111 => 1110101 => 0001010
[5,3,8,1,7,6,4,2] => 1010111 => 1110101 => 0001010
[5,3,8,2,7,6,4,1] => 1010111 => 1110101 => 0001010
[6,8,3,2,7,5,4,1] => 0110111 => 1110110 => 0001001
[6,8,3,1,7,5,4,2] => 0110111 => 1110110 => 0001001
[6,8,2,1,7,5,4,3] => 0110111 => 1110110 => 0001001
[6,8,2,7,1,5,3,4] => 0101010 => 0101010 => 1010101
[6,8,7,2,1,4,3,5] => 0111010 => 0101110 => 1010001
[8,5,6,1,2,4,3,7] => 1010010 => 0100101 => 1011010
[5,8,7,1,2,4,3,6] => 0110010 => 0100110 => 1011001
[6,8,1,2,7,5,4,3] => 0100111 => 1110010 => 0001101
[6,8,2,3,7,5,4,1] => 0100111 => 1110010 => 0001101
[5,2,8,3,7,6,4,1] => 1010111 => 1110101 => 0001010
[5,1,8,3,7,6,4,2] => 1010111 => 1110101 => 0001010
[5,1,8,7,2,6,3,4] => 1011010 => 0101101 => 1010010
[4,1,8,7,2,6,3,5] => 1011010 => 0101101 => 1010010
[4,8,1,7,2,5,3,6] => 0101010 => 0101010 => 1010101
[8,4,1,6,2,5,3,7] => 1101010 => 0101011 => 1010100
[8,3,1,2,6,5,4,7] => 1100110 => 0110011 => 1001100
[3,8,1,2,7,5,4,6] => 0100110 => 0110010 => 1001101
[3,1,8,2,7,6,4,5] => 1010110 => 0110101 => 1001010
[3,1,2,8,7,6,5,4] => 1001111 => 1111001 => 0000110
[4,1,3,8,7,6,5,2] => 1001111 => 1111001 => 0000110
[3,1,4,8,7,6,5,2] => 1001111 => 1111001 => 0000110
[2,1,8,3,7,6,4,5] => 1010110 => 0110101 => 1001010
[2,8,1,3,7,5,4,6] => 0100110 => 0110010 => 1001101
[8,2,1,3,6,5,4,7] => 1100110 => 0110011 => 1001100
[8,1,2,3,6,5,4,7] => 1000110 => 0110001 => 1001110
[1,8,2,3,7,5,4,6] => 0100110 => 0110010 => 1001101
[1,2,8,3,7,6,4,5] => 0010110 => 0110100 => 1001011
[1,4,3,6,8,2,5,7] => 0100100 => 0010010 => 1101101
[3,1,6,2,5,8,4,7] => 1010010 => 0100101 => 1011010
[3,5,1,8,2,4,7,6] => 0101001 => 1001010 => 0110101
[1,4,5,2,8,3,7,6] => 0010101 => 1010100 => 0101011
[1,4,2,6,5,8,3,7] => 0101010 => 0101010 => 1010101
[1,5,4,2,6,8,3,7] => 0110010 => 0100110 => 1011001
[3,1,6,5,8,2,4,7] => 1010100 => 0010101 => 1101010
[1,6,4,2,5,8,3,7] => 0110010 => 0100110 => 1011001
[1,5,2,6,4,8,3,7] => 0101010 => 0101010 => 1010101
[1,2,6,5,4,8,3,7] => 0011010 => 0101100 => 1010011
[1,2,5,4,7,3,8,6] => 0010101 => 1010100 => 0101011
[4,1,2,6,3,8,7,5] => 1001011 => 1101001 => 0010110
[7,1,5,4,2,8,3,6] => 1011010 => 0101101 => 1010010
[1,4,7,5,2,8,3,6] => 0011010 => 0101100 => 1010011
[7,1,3,5,2,8,4,6] => 1001010 => 0101001 => 1010110
[7,2,5,1,8,3,4,6] => 1010100 => 0010101 => 1101010
[1,4,5,2,8,7,3,6] => 0010110 => 0110100 => 1001011
[1,6,4,2,8,3,7,5] => 0110101 => 1010110 => 0101001
[1,4,2,8,3,7,6,5] => 0101011 => 1101010 => 0010101
[1,2,5,3,8,7,6,4] => 0010111 => 1110100 => 0001011
[1,2,8,6,5,3,7,4] => 0011101 => 1011100 => 0100011
[1,5,2,8,6,3,7,4] => 0101101 => 1011010 => 0100101
[1,6,4,2,8,7,3,5] => 0110110 => 0110110 => 1001001
[6,2,1,8,7,3,4,5] => 1101100 => 0011011 => 1100100
[7,6,2,1,8,3,4,5] => 1110100 => 0010111 => 1101000
[7,3,1,6,2,8,4,5] => 1101010 => 0101011 => 1010100
[1,7,6,4,2,8,3,5] => 0111010 => 0101110 => 1010001
[1,7,5,2,6,3,8,4] => 0110101 => 1010110 => 0101001
[1,6,2,7,5,3,8,4] => 0101101 => 1011010 => 0100101
[1,2,7,6,5,3,8,4] => 0011101 => 1011100 => 0100011
[1,2,6,5,3,8,7,4] => 0011011 => 1101100 => 0010011
[1,5,2,6,3,8,7,4] => 0101011 => 1101010 => 0010101
[1,5,2,7,6,3,8,4] => 0101101 => 1011010 => 0100101
[1,6,5,2,7,3,8,4] => 0110101 => 1010110 => 0101001
[1,5,7,4,2,8,3,6] => 0011010 => 0101100 => 1010011
[4,1,2,8,6,3,7,5] => 1001101 => 1011001 => 0100110
[3,1,8,6,2,4,7,5] => 1011001 => 1001101 => 0110010
[4,3,7,1,8,2,5,6] => 1010100 => 0010101 => 1101010
[8,3,1,6,2,4,7,5] => 1101001 => 1001011 => 0110100
[7,1,8,3,2,4,6,5] => 1011001 => 1001101 => 0110010
[1,8,7,3,2,4,6,5] => 0111001 => 1001110 => 0110001
[1,4,2,8,7,3,6,5] => 0101101 => 1011010 => 0100101
[1,7,4,2,8,3,6,5] => 0110101 => 1010110 => 0101001
[8,1,5,4,2,7,3,6] => 1011010 => 0101101 => 1010010
[1,4,8,5,2,7,3,6] => 0011010 => 0101100 => 1010011
[8,5,3,1,7,2,4,6] => 1110100 => 0010111 => 1101000
[8,6,2,1,7,3,4,5] => 1110100 => 0010111 => 1101000
[1,8,6,4,2,7,3,5] => 0111010 => 0101110 => 1010001
[1,8,5,2,6,3,7,4] => 0110101 => 1010110 => 0101001
[1,5,2,7,3,8,6,4] => 0101011 => 1101010 => 0010101
[1,2,8,5,3,7,6,4] => 0011011 => 1101100 => 0010011
[1,2,6,3,8,7,5,4] => 0010111 => 1110100 => 0001011
[1,2,7,6,3,8,5,4] => 0011011 => 1101100 => 0010011
[1,6,2,7,3,8,5,4] => 0101011 => 1101010 => 0010101
[1,7,2,8,5,3,6,4] => 0101101 => 1011010 => 0100101
[1,7,4,2,8,6,3,5] => 0110110 => 0110110 => 1001001
[7,1,8,3,2,6,4,5] => 1011010 => 0101101 => 1010010
[7,2,1,8,6,3,4,5] => 1101100 => 0011011 => 1100100
[1,8,7,3,2,6,4,5] => 0111010 => 0101110 => 1010001
[1,4,2,8,7,6,3,5] => 0101110 => 0111010 => 1000101
[1,2,8,7,5,3,6,4] => 0011101 => 1011100 => 0100011
[1,2,8,6,3,7,5,4] => 0011011 => 1101100 => 0010011
[1,2,7,3,8,6,5,4] => 0010111 => 1110100 => 0001011
[4,1,7,3,6,5,8,2] => 1010101 => 1010101 => 0101010
[5,1,8,7,6,2,4,3] => 1011101 => 1011101 => 0100010
[8,1,7,6,3,4,5,2] => 1011001 => 1001101 => 0110010
[5,7,8,6,2,4,1,3] => 0011010 => 0101100 => 1010011
[5,7,1,6,2,4,3,8] => 0101010 => 0101010 => 1010101
[6,4,1,5,2,7,3,8] => 1101010 => 0101011 => 1010100
[8,1,4,5,3,7,6,2] => 1001011 => 1101001 => 0010110
[6,1,4,5,3,8,7,2] => 1001011 => 1101001 => 0010110
[6,1,4,5,3,7,8,2] => 1001001 => 1001001 => 0110110
[5,1,7,8,6,2,4,3] => 1001101 => 1011001 => 0100110
[6,1,4,8,3,5,7,2] => 1001001 => 1001001 => 0110110
[7,1,8,6,3,4,5,2] => 1011001 => 1001101 => 0110010
[7,1,4,5,3,8,6,2] => 1001011 => 1101001 => 0010110
[7,1,4,5,3,6,8,2] => 1001001 => 1001001 => 0110110
[8,1,4,5,3,6,7,2] => 1001001 => 1001001 => 0110110
[7,4,1,5,2,6,3,8] => 1101010 => 0101011 => 1010100
[6,3,5,7,2,1,4,8] => 1001100 => 0011001 => 1100110
[6,3,5,8,2,1,7,4] => 1001101 => 1011001 => 0100110
[6,3,5,7,2,1,8,4] => 1001101 => 1011001 => 0100110
[8,4,5,7,3,6,1,2] => 1001010 => 0101001 => 1010110
[6,4,5,8,3,7,2,1] => 1001011 => 1101001 => 0010110
[5,8,7,6,2,4,1,3] => 0111010 => 0101110 => 1010001
[5,4,8,6,3,1,7,2] => 1011101 => 1011101 => 0100010
[5,4,1,8,2,3,7,6] => 1101001 => 1001011 => 0110100
[5,8,1,6,2,4,3,7] => 0101010 => 0101010 => 1010101
[8,4,1,5,2,6,3,7] => 1101010 => 0101011 => 1010100
[6,3,5,8,2,1,4,7] => 1001100 => 0011001 => 1100110
[2,3,4,1,8,6,5,7] => 0010110 => 0110100 => 1001011
[8,3,5,6,2,1,4,7] => 1001100 => 0011001 => 1100110
[2,3,8,5,1,4,7,6] => 0011001 => 1001100 => 0110011
[2,3,8,6,1,5,7,4] => 0011001 => 1001100 => 0110011
[2,8,6,7,1,3,5,4] => 0101001 => 1001010 => 0110101
[8,3,5,7,2,1,6,4] => 1001101 => 1011001 => 0100110
[2,3,8,5,6,1,7,4] => 0010101 => 1010100 => 0101011
[7,4,5,6,3,1,8,2] => 1001101 => 1011001 => 0100110
[8,4,5,6,3,1,7,2] => 1001101 => 1011001 => 0100110
[7,3,5,6,2,8,1,4] => 1001010 => 0101001 => 1010110
[7,3,5,8,2,1,6,4] => 1001101 => 1011001 => 0100110
[7,3,5,6,2,1,4,8] => 1001100 => 0011001 => 1100110
[2,7,6,5,1,3,4,8] => 0111000 => 0001110 => 1110001
[2,7,6,8,1,3,5,4] => 0101001 => 1001010 => 0110101
[2,7,6,5,8,3,1,4] => 0110110 => 0110110 => 1001001
[8,7,5,6,1,4,2,3] => 1101010 => 0101011 => 1010100
[2,6,4,1,8,5,7,3] => 0110101 => 1010110 => 0101001
[2,6,1,3,8,5,7,4] => 0100101 => 1010010 => 0101101
[2,7,1,3,6,5,8,4] => 0100101 => 1010010 => 0101101
[2,7,6,8,4,3,1,5] => 0101110 => 0111010 => 1000101
[2,7,6,1,8,3,4,5] => 0110100 => 0010110 => 1101001
[2,7,6,1,4,3,5,8] => 0110100 => 0010110 => 1101001
[7,3,5,1,2,8,4,6] => 1010010 => 0100101 => 1011010
[8,4,1,5,2,3,7,6] => 1101001 => 1001011 => 0110100
[7,8,1,6,3,4,2,5] => 0101010 => 0101010 => 1010101
[6,4,1,8,3,2,7,5] => 1101101 => 1011011 => 0100100
[2,3,8,6,4,1,7,5] => 0011101 => 1011100 => 0100011
[2,8,6,7,4,3,1,5] => 0101110 => 0111010 => 1000101
[8,3,5,7,2,4,1,6] => 1001010 => 0101001 => 1010110
[2,3,4,1,8,7,5,6] => 0010110 => 0110100 => 1001011
[2,8,6,1,7,3,4,5] => 0110100 => 0010110 => 1101001
[2,3,8,1,6,4,7,5] => 0010101 => 1010100 => 0101011
[2,3,8,1,4,5,7,6] => 0010001 => 1000100 => 0111011
[2,8,6,1,4,3,5,7] => 0110100 => 0010110 => 1101001
[1,2,3,4,5,6,7,9,8] => 00000001 => 10000000 => 01111111
[2,1,3,4,5,6,7,8,9] => 10000000 => 00000001 => 11111110
[1,2,3,4,5,6,7,8,10,9] => 000000001 => 100000000 => 011111111
[2,1,3,4,5,6,7,8,9,10] => 100000000 => 000000001 => 111111110
[1,2,3,4,5,6,7,8,9,11,10] => 0000000001 => 1000000000 => 0111111111
[9,1,2,3,4,5,6,7,10,8] => 100000001 => 100000001 => 011111110
[1,8,2,3,4,5,6,9,7] => 01000001 => 10000010 => 01111101
[7,1,2,3,4,5,6,9,8] => 10000001 => 10000001 => 01111110
[2,1,9,3,4,5,6,7,8] => 10100000 => 00000101 => 11111010
[2,8,1,3,4,5,6,7,9] => 01000000 => 00000010 => 11111101
[2,10,1,3,4,5,6,7,8,9] => 010000000 => 000000010 => 111111101
[2,1,3,4,5,6,7,8,9,10,11] => 1000000000 => 0000000001 => 1111111110
[8,4,3,6,5,1,7,2] => 1101101 => 1011011 => 0100100
[8,5,6,3,4,1,7,2] => 1010101 => 1010101 => 0101010
[8,6,5,4,3,1,7,2] => 1111101 => 1011111 => 0100000
[1,7,6,5,4,2,3,8] => 0111100 => 0011110 => 1100001
[1,8,6,5,2,7,3,4] => 0111010 => 0101110 => 1010001
[8,7,5,4,1,6,3,2] => 1111011 => 1101111 => 0010000
[7,8,5,4,1,3,6,2] => 0111001 => 1001110 => 0110001
[6,8,5,4,2,1,7,3] => 0111101 => 1011110 => 0100001
[5,8,6,2,4,1,7,3] => 0110101 => 1010110 => 0101001
[4,8,2,6,5,1,7,3] => 0101101 => 1011010 => 0100101
[3,2,8,6,5,1,7,4] => 1011101 => 1011101 => 0100010
[3,2,1,7,6,4,5,8] => 1101100 => 0011011 => 1100100
[4,1,3,7,6,2,5,8] => 1001100 => 0011001 => 1100110
[5,1,7,3,6,2,4,8] => 1010100 => 0010101 => 1101010
[6,1,7,5,3,2,4,8] => 1011100 => 0011101 => 1100010
[7,1,6,5,2,4,3,8] => 1011010 => 0101101 => 1010010
[8,1,6,5,2,3,7,4] => 1011001 => 1001101 => 0110010
[1,2,7,6,3,4,5,8] => 0011000 => 0001100 => 1110011
[1,2,8,3,7,4,5,6] => 0010100 => 0010100 => 1101011
[8,1,7,2,6,3,5,4] => 1010101 => 1010101 => 0101010
[7,1,8,2,6,4,3,5] => 1010110 => 0110101 => 1001010
[6,1,8,2,4,7,3,5] => 1010010 => 0100101 => 1011010
[5,1,8,3,2,7,4,6] => 1011010 => 0101101 => 1010010
[4,1,3,8,2,7,5,6] => 1001010 => 0101001 => 1010110
[3,2,1,8,4,7,5,6] => 1101010 => 0101011 => 1010100
[3,2,8,7,1,6,5,4] => 1011011 => 1101101 => 0010010
[4,8,2,7,1,6,5,3] => 0101011 => 1101010 => 0010101
[5,8,7,2,1,6,4,3] => 0111011 => 1101110 => 0010001
[6,8,7,1,3,5,4,2] => 0110011 => 1100110 => 0011001
[7,8,6,1,5,3,4,2] => 0110101 => 1010110 => 0101001
[8,7,6,1,5,4,3,2] => 1110111 => 1110111 => 0001000
[1,8,7,2,6,5,3,4] => 0110110 => 0110110 => 1001001
[1,7,8,2,5,6,3,4] => 0010010 => 0100100 => 1011011
[8,6,7,1,4,5,3,2] => 1010011 => 1100101 => 0011010
[7,6,8,1,4,3,5,2] => 1010101 => 1010101 => 0101010
[6,5,8,3,2,1,7,4] => 1011101 => 1011101 => 0100010
[7,5,8,3,1,4,6,2] => 1011001 => 1001101 => 0110010
[8,5,7,3,1,6,4,2] => 1011011 => 1101101 => 0010010
[1,6,8,4,2,7,3,5] => 0011010 => 0101100 => 1010011
[1,5,4,8,2,7,3,6] => 0101010 => 0101010 => 1010101
[8,4,3,7,1,6,5,2] => 1101011 => 1101011 => 0010100
[7,4,3,8,1,5,6,2] => 1101001 => 1001011 => 0110100
[6,4,3,1,5,2,7,8] => 1110100 => 0010111 => 1101000
[7,4,3,1,2,6,5,8] => 1110010 => 0100111 => 1011000
[8,4,3,1,2,5,7,6] => 1110001 => 1000111 => 0111000
[1,5,4,2,3,6,7,8] => 0110000 => 0000110 => 1111001
[8,5,1,4,2,3,7,6] => 1101001 => 1001011 => 0110100
[7,5,1,4,2,6,3,8] => 1101010 => 0101011 => 1010100
[6,5,1,4,3,2,7,8] => 1101100 => 0011011 => 1100100
[5,6,1,3,4,2,7,8] => 0100100 => 0010010 => 1101101
[4,6,2,1,5,3,7,8] => 0110100 => 0010110 => 1101001
[3,2,6,1,5,4,7,8] => 1010100 => 0010101 => 1101010
[3,2,7,1,4,6,5,8] => 1010010 => 0100101 => 1011010
[4,7,2,1,3,6,5,8] => 0110010 => 0100110 => 1011001
[5,7,1,3,2,6,4,8] => 0101010 => 0101010 => 1010101
[6,7,1,2,4,5,3,8] => 0100010 => 0100010 => 1011101
[7,6,1,2,5,4,3,8] => 1100110 => 0110011 => 1001100
[8,6,1,2,5,3,7,4] => 1100101 => 1010011 => 0101100
[1,7,2,3,6,4,5,8] => 0100100 => 0010010 => 1101101
[8,7,1,2,3,6,5,4] => 1100011 => 1100011 => 0011100
[7,8,1,2,3,5,6,4] => 0100001 => 1000010 => 0111101
[6,8,1,2,4,3,7,5] => 0100101 => 1010010 => 0101101
[5,8,1,3,2,4,7,6] => 0101001 => 1001010 => 0110101
[4,8,2,1,3,5,7,6] => 0110001 => 1000110 => 0111001
[3,2,8,1,4,5,7,6] => 1010001 => 1000101 => 0111010
[4,1,3,2,5,6,7,8] => 1010000 => 0000101 => 1111010
[5,1,2,4,3,6,7,8] => 1001000 => 0001001 => 1110110
[6,1,2,3,5,4,7,8] => 1000100 => 0010001 => 1101110
[7,1,2,3,4,6,5,8] => 1000010 => 0100001 => 1011110
[8,1,2,3,4,5,7,6] => 1000001 => 1000001 => 0111110
[6,7,3,8,5,1,2,4] => 0101100 => 0011010 => 1100101
[6,7,4,5,1,8,3,2] => 0101011 => 1101010 => 0010101
[5,4,7,6,8,1,2,3] => 1010100 => 0010101 => 1101010
[5,3,7,8,6,1,2,4] => 1001100 => 0011001 => 1100110
[3,8,4,5,7,1,2,6] => 0100100 => 0010010 => 1101101
[3,4,8,6,7,1,2,5] => 0010100 => 0010100 => 1101011
[4,5,6,7,1,8,3,2] => 0001011 => 1101000 => 0010111
[3,5,6,2,7,4,8,1] => 0010101 => 1010100 => 0101011
[3,5,6,1,7,8,4,2] => 0010011 => 1100100 => 0011011
[2,5,6,1,8,7,4,3] => 0010111 => 1110100 => 0001011
[2,5,6,8,1,7,3,4] => 0001010 => 0101000 => 1010111
[8,2,4,5,1,6,3,7] => 1001010 => 0101001 => 1010110
[1,4,8,6,2,3,7,5] => 0011001 => 1001100 => 0110011
[1,5,6,8,2,3,7,4] => 0001001 => 1001000 => 0110111
[1,5,6,2,8,4,7,3] => 0010101 => 1010100 => 0101011
[2,5,6,3,4,7,8,1] => 0010001 => 1000100 => 0111011
[1,4,2,6,8,5,7,3] => 0100101 => 1010010 => 0101101
[8,1,3,2,5,4,6,7] => 1010100 => 0010101 => 1101010
[8,2,3,1,5,6,4,7] => 1010010 => 0100101 => 1011010
[2,8,3,1,5,7,4,6] => 0110010 => 0100110 => 1011001
[2,4,1,6,8,7,5,3] => 0100111 => 1110010 => 0001101
[3,4,1,6,7,8,5,2] => 0100011 => 1100010 => 0011101
[4,3,1,7,6,8,5,2] => 1101011 => 1101011 => 0010100
[5,2,7,8,1,6,3,4] => 1001010 => 0101001 => 1010110
[5,3,7,2,6,4,8,1] => 1010101 => 1010101 => 0101010
[6,7,3,1,5,8,4,2] => 0110011 => 1100110 => 0011001
[6,7,2,1,8,5,4,3] => 0110111 => 1110110 => 0001001
[6,7,2,8,1,5,3,4] => 0101010 => 0101010 => 1010101
[6,7,8,2,1,4,3,5] => 0011010 => 0101100 => 1010011
[6,7,1,2,8,4,5,3] => 0100101 => 1010010 => 0101101
[6,7,1,3,4,8,5,2] => 0100011 => 1100010 => 0011101
[5,2,7,3,4,6,8,1] => 1010001 => 1000101 => 0111010
[5,1,7,3,4,8,6,2] => 1010011 => 1100101 => 0011010
[5,1,7,8,2,3,6,4] => 1001001 => 1001001 => 0110110
[4,1,8,7,2,3,6,5] => 1011001 => 1001101 => 0110010
[3,8,1,2,7,4,5,6] => 0100100 => 0010010 => 1101101
[4,1,3,7,5,8,6,2] => 1001011 => 1101001 => 0010110
[3,1,4,5,7,8,6,2] => 1000011 => 1100001 => 0011110
[2,1,8,3,4,7,6,5] => 1010011 => 1100101 => 0011010
[8,2,1,3,4,6,5,7] => 1100010 => 0100011 => 1011100
[1,8,2,3,4,5,7,6] => 0100001 => 1000010 => 0111101
[1,2,8,3,4,6,7,5] => 0010001 => 1000100 => 0111011
[4,2,1,6,5,8,7,3] => 1101011 => 1101011 => 0010100
[5,2,6,1,4,8,7,3] => 1010011 => 1100101 => 0011010
[5,2,6,4,1,8,7,3] => 1011011 => 1101101 => 0010010
[5,2,7,4,8,1,6,3] => 1010101 => 1010101 => 0101010
[5,2,7,4,8,6,1,3] => 1010110 => 0110101 => 1001010
[5,7,2,3,8,6,1,4] => 0100110 => 0110010 => 1001101
[5,7,2,3,8,1,6,4] => 0100101 => 1010010 => 0101101
[5,6,2,3,1,8,7,4] => 0101011 => 1101010 => 0010101
[5,6,2,1,3,8,7,4] => 0110011 => 1100110 => 0011001
[5,1,6,4,2,8,7,3] => 1011011 => 1101101 => 0010010
[5,6,1,3,2,8,7,4] => 0101011 => 1101010 => 0010101
[5,6,3,1,2,8,7,4] => 0110011 => 1100110 => 0011001
[5,6,3,2,1,8,7,4] => 0111011 => 1101110 => 0010001
[5,7,3,2,8,1,6,4] => 0110101 => 1010110 => 0101001
[5,7,3,2,8,6,1,4] => 0110110 => 0110110 => 1001001
[6,7,3,8,2,1,5,4] => 0101101 => 1011010 => 0100101
[6,7,3,8,1,2,5,4] => 0101001 => 1001010 => 0110101
[5,7,3,1,8,2,6,4] => 0110101 => 1010110 => 0101001
[5,7,1,3,8,2,6,4] => 0100101 => 1010010 => 0101101
[5,1,7,4,8,2,6,3] => 1010101 => 1010101 => 0101010
[1,5,7,4,8,3,6,2] => 0010101 => 1010100 => 0101011
[1,5,7,4,8,6,3,2] => 0010111 => 1110100 => 0001011
[5,1,7,4,8,6,2,3] => 1010110 => 0110101 => 1001010
[5,7,1,3,8,6,2,4] => 0100110 => 0110010 => 1001101
[5,7,3,1,8,6,2,4] => 0110110 => 0110110 => 1001001
[6,7,3,8,1,5,2,4] => 0101010 => 0101010 => 1010101
[6,7,3,8,5,2,1,4] => 0101110 => 0111010 => 1000101
[6,7,8,3,1,4,2,5] => 0011010 => 0101100 => 1010011
[6,7,1,8,3,5,2,4] => 0101010 => 0101010 => 1010101
[6,1,7,8,4,5,2,3] => 1001010 => 0101001 => 1010110
[1,6,7,8,4,5,3,2] => 0001011 => 1101000 => 0010111
[1,6,7,8,4,3,5,2] => 0001101 => 1011000 => 0100111
[6,1,7,8,4,2,5,3] => 1001101 => 1011001 => 0100110
[6,7,1,8,3,2,5,4] => 0101101 => 1011010 => 0100101
[5,7,2,1,8,3,6,4] => 0110101 => 1010110 => 0101001
[6,7,2,8,1,3,5,4] => 0101001 => 1001010 => 0110101
[6,7,2,8,3,1,5,4] => 0101101 => 1011010 => 0100101
[6,7,2,8,3,5,1,4] => 0101010 => 0101010 => 1010101
[6,2,7,8,4,5,1,3] => 1001010 => 0101001 => 1010110
[6,2,7,8,4,1,5,3] => 1001101 => 1011001 => 0100110
[6,2,7,8,1,4,5,3] => 1001001 => 1001001 => 0110110
[5,2,7,1,8,4,6,3] => 1010101 => 1010101 => 0101010
[4,2,1,7,8,5,6,3] => 1100101 => 1010011 => 0101100
[4,1,2,7,8,6,5,3] => 1000111 => 1110001 => 0001110
[6,2,7,8,1,5,4,3] => 1001011 => 1101001 => 0010110
[6,2,7,8,5,1,4,3] => 1001101 => 1011001 => 0100110
[6,2,7,8,5,4,1,3] => 1001110 => 0111001 => 1000110
[6,7,2,8,5,3,1,4] => 0101110 => 0111010 => 1000101
[5,7,2,1,8,6,3,4] => 0110110 => 0110110 => 1001001
[5,7,1,2,8,6,3,4] => 0100110 => 0110010 => 1001101
[5,1,7,2,8,6,4,3] => 1010111 => 1110101 => 0001010
[1,5,7,3,8,6,4,2] => 0010111 => 1110100 => 0001011
[1,6,7,8,3,5,4,2] => 0001011 => 1101000 => 0010111
[6,1,7,8,2,5,4,3] => 1001011 => 1101001 => 0010110
[6,7,1,8,2,5,3,4] => 0101010 => 0101010 => 1010101
[6,7,8,2,4,1,3,5] => 0010100 => 0010100 => 1101011
[6,7,8,2,4,3,1,5] => 0010110 => 0110100 => 1001011
[6,7,1,8,5,2,3,4] => 0101100 => 0011010 => 1100101
[6,1,7,8,5,2,4,3] => 1001101 => 1011001 => 0100110
[1,6,7,8,5,3,4,2] => 0001101 => 1011000 => 0100111
[6,1,7,8,5,4,2,3] => 1001110 => 0111001 => 1000110
[6,7,1,8,5,3,2,4] => 0101110 => 0111010 => 1000101
[6,7,8,4,1,3,2,5] => 0011010 => 0101100 => 1010011
[6,3,8,5,2,7,4,1] => 1011011 => 1101101 => 0010010
[6,5,2,8,4,7,3,1] => 1101011 => 1101011 => 0010100
[6,3,4,5,8,7,2,1] => 1000111 => 1110001 => 0001110
[3,8,4,7,5,2,1,6] => 0101110 => 0111010 => 1000101
[5,8,1,4,7,2,3,6] => 0100100 => 0010010 => 1101101
[5,6,1,4,8,7,3,2] => 0100111 => 1110010 => 0001101
[3,6,4,8,5,7,1,2] => 0101010 => 0101010 => 1010101
[5,1,4,8,6,3,7,2] => 1001101 => 1011001 => 0100110
[3,4,7,1,8,6,5,2] => 0010111 => 1110100 => 0001011
[6,3,8,4,2,7,1,5] => 1011010 => 0101101 => 1010010
[3,6,8,7,1,4,2,5] => 0011010 => 0101100 => 1010011
[5,3,7,1,6,8,2,4] => 1010010 => 0100101 => 1011010
[4,3,8,5,6,7,2,1] => 1010011 => 1100101 => 0011010
[5,8,1,7,6,2,4,3] => 0101101 => 1011010 => 0100101
[4,6,1,2,7,8,5,3] => 0100011 => 1100010 => 0011101
[3,6,4,2,8,7,5,1] => 0110111 => 1110110 => 0001001
[6,3,7,5,2,8,1,4] => 1011010 => 0101101 => 1010010
[6,5,2,7,4,8,1,3] => 1101010 => 0101011 => 1010100
[5,7,1,4,8,3,2,6] => 0100110 => 0110010 => 1001101
[7,8,3,5,1,4,6,2] => 0101001 => 1001010 => 0110101
[5,8,1,4,6,7,2,3] => 0100010 => 0100010 => 1011101
[6,5,8,4,3,7,2,1] => 1011011 => 1101101 => 0010010
[6,3,7,4,2,8,5,1] => 1011011 => 1101101 => 0010010
[8,7,1,6,2,4,5,3] => 1101001 => 1001011 => 0110100
[3,8,6,7,1,4,5,2] => 0101001 => 1001010 => 0110101
[5,3,8,7,4,1,2,6] => 1011100 => 0011101 => 1100010
[4,3,8,7,1,5,6,2] => 1011001 => 1001101 => 0110010
[8,3,6,1,2,5,7,4] => 1010001 => 1000101 => 0111010
[5,6,1,8,7,3,2,4] => 0101110 => 0111010 => 1000101
[5,4,2,7,3,6,8,1] => 1101001 => 1001011 => 0110100
[7,5,3,6,4,2,8,1] => 1101101 => 1011011 => 0100100
[6,4,1,5,3,8,2,7] => 1101010 => 0101011 => 1010100
[8,2,6,3,4,7,5,1] => 1010011 => 1100101 => 0011010
[7,2,6,3,5,4,8,1] => 1010101 => 1010101 => 0101010
[6,2,7,4,3,5,8,1] => 1011001 => 1001101 => 0110010
[3,7,6,4,5,2,8,1] => 0110101 => 1010110 => 0101001
[2,7,6,5,3,4,8,1] => 0111001 => 1001110 => 0110001
[6,5,4,3,1,8,2,7] => 1111010 => 0101111 => 1010000
[8,6,5,4,2,7,3,1] => 1111011 => 1101111 => 0010000
[8,5,4,1,7,2,6,3] => 1110101 => 1010111 => 0101000
[7,5,4,1,8,3,2,6] => 1110110 => 0110111 => 1001000
[1,6,5,2,8,3,4,7] => 0110100 => 0010110 => 1101001
[1,6,5,3,4,8,2,7] => 0110010 => 0100110 => 1011001
[5,4,6,3,1,8,2,7] => 1011010 => 0101101 => 1010010
[6,5,8,4,2,7,3,1] => 1011011 => 1101101 => 0010010
[5,8,2,6,4,7,3,1] => 0101011 => 1101010 => 0010101
[7,8,5,3,2,6,4,1] => 0111011 => 1101110 => 0010001
[6,8,3,1,7,2,5,4] => 0110101 => 1010110 => 0101001
[1,8,6,3,7,5,2,4] => 0110110 => 0110110 => 1001001
[8,7,5,2,6,4,3,1] => 1110111 => 1110111 => 0001000
[8,7,1,6,2,5,4,3] => 1101011 => 1101011 => 0010100
[2,8,1,7,3,5,6,4] => 0101001 => 1001010 => 0110101
[4,8,1,3,7,2,6,5] => 0100101 => 1010010 => 0101101
[4,2,8,5,7,3,6,1] => 1010101 => 1010101 => 0101010
[5,1,7,6,8,3,2,4] => 1010110 => 0110101 => 1001010
[6,7,3,1,8,4,2,5] => 0110110 => 0110110 => 1001001
[1,7,3,8,4,5,2,6] => 0101010 => 0101010 => 1010101
[1,7,2,8,5,3,4,6] => 0101100 => 0011010 => 1100101
[7,6,1,8,4,3,2,5] => 1101110 => 0111011 => 1000100
[8,6,1,7,4,2,5,3] => 1101101 => 1011011 => 0100100
[8,1,2,7,3,4,6,5] => 1001001 => 1001001 => 0110110
[7,1,2,8,3,5,4,6] => 1001010 => 0101001 => 1010110
[8,2,6,1,7,3,5,4] => 1010101 => 1010101 => 0101010
[8,3,1,4,7,5,6,2] => 1100101 => 1010011 => 0101100
[4,2,1,5,8,3,6,7] => 1100100 => 0010011 => 1101100
[5,4,3,1,6,8,2,7] => 1110010 => 0100111 => 1011000
[4,7,5,6,8,3,2,1] => 0100111 => 1110010 => 0001101
[6,5,4,8,2,7,3,1] => 1101011 => 1101011 => 0010100
[6,5,1,8,7,4,2,3] => 1101110 => 0111011 => 1000100
[8,6,4,7,5,3,2,1] => 1101111 => 1111011 => 0000100
[5,1,8,3,7,6,2,4] => 1010110 => 0110101 => 1001010
[5,4,8,1,7,2,6,3] => 1010101 => 1010101 => 0101010
[3,6,8,2,4,7,5,1] => 0010011 => 1100100 => 0011011
[5,7,3,8,2,6,4,1] => 0101011 => 1101010 => 0010101
[4,7,2,8,6,3,5,1] => 0101101 => 1011010 => 0100101
[2,3,8,7,4,5,6,1] => 0011001 => 1001100 => 0110011
[7,2,8,6,4,3,5,1] => 1011101 => 1011101 => 0100010
[2,1,8,7,5,6,3,4] => 1011010 => 0101101 => 1010010
[8,2,7,6,3,5,4,1] => 1011011 => 1101101 => 0010010
[8,1,7,6,5,2,4,3] => 1011101 => 1011101 => 0100010
[7,1,8,6,5,3,2,4] => 1011110 => 0111101 => 1000010
[1,2,8,7,6,3,4,5] => 0011100 => 0011100 => 1100011
[1,3,8,7,4,6,2,5] => 0011010 => 0101100 => 1010011
[5,1,6,8,7,4,2,3] => 1001110 => 0111001 => 1000110
[6,8,4,7,5,3,2,1] => 0101111 => 1111010 => 0000101
[6,8,7,2,5,4,3,1] => 0110111 => 1110110 => 0001001
[3,8,7,6,4,5,2,1] => 0111011 => 1101110 => 0010001
[2,8,7,6,5,3,4,1] => 0111101 => 1011110 => 0100001
[1,8,7,6,5,4,2,3] => 0111110 => 0111110 => 1000001
[5,8,6,7,3,4,1,2] => 0101010 => 0101010 => 1010101
[4,8,6,7,3,5,1,2] => 0101010 => 0101010 => 1010101
[3,8,6,7,4,5,1,2] => 0101010 => 0101010 => 1010101
[2,8,6,7,4,5,1,3] => 0101010 => 0101010 => 1010101
[1,8,6,7,4,5,2,3] => 0101010 => 0101010 => 1010101
[1,8,5,7,4,6,2,3] => 0101010 => 0101010 => 1010101
[3,8,5,7,4,6,1,2] => 0101010 => 0101010 => 1010101
[4,8,5,7,3,6,1,2] => 0101010 => 0101010 => 1010101
[7,8,3,6,4,5,1,2] => 0101010 => 0101010 => 1010101
[6,8,3,7,4,5,1,2] => 0101010 => 0101010 => 1010101
[5,8,3,7,4,6,1,2] => 0101010 => 0101010 => 1010101
[3,7,4,8,5,6,1,2] => 0101010 => 0101010 => 1010101
[4,7,3,8,5,6,1,2] => 0101010 => 0101010 => 1010101
[4,7,2,8,5,6,1,3] => 0101010 => 0101010 => 1010101
[4,7,1,8,5,6,2,3] => 0101010 => 0101010 => 1010101
[3,7,1,8,5,6,2,4] => 0101010 => 0101010 => 1010101
[3,7,2,8,5,6,1,4] => 0101010 => 0101010 => 1010101
[2,7,3,8,5,6,1,4] => 0101010 => 0101010 => 1010101
[2,7,4,8,5,6,1,3] => 0101010 => 0101010 => 1010101
[5,8,2,7,4,6,1,3] => 0101010 => 0101010 => 1010101
[6,8,2,7,4,5,1,3] => 0101010 => 0101010 => 1010101
[7,8,2,6,4,5,1,3] => 0101010 => 0101010 => 1010101
[7,8,1,6,4,5,2,3] => 0101010 => 0101010 => 1010101
[6,8,1,7,4,5,2,3] => 0101010 => 0101010 => 1010101
[5,8,1,7,4,6,2,3] => 0101010 => 0101010 => 1010101
[1,7,4,8,5,6,2,3] => 0101010 => 0101010 => 1010101
[1,7,3,8,5,6,2,4] => 0101010 => 0101010 => 1010101
[2,8,5,6,1,7,3,4] => 0101010 => 0101010 => 1010101
[1,8,5,6,2,7,3,4] => 0101010 => 0101010 => 1010101
[1,7,3,8,4,6,2,5] => 0101010 => 0101010 => 1010101
[4,8,1,7,3,6,2,5] => 0101010 => 0101010 => 1010101
[5,8,1,7,3,6,2,4] => 0101010 => 0101010 => 1010101
[6,8,1,7,3,5,2,4] => 0101010 => 0101010 => 1010101
[7,8,2,6,3,5,1,4] => 0101010 => 0101010 => 1010101
[6,8,2,7,3,5,1,4] => 0101010 => 0101010 => 1010101
[5,8,2,7,3,6,1,4] => 0101010 => 0101010 => 1010101
[4,8,2,7,3,6,1,5] => 0101010 => 0101010 => 1010101
[2,7,3,8,4,6,1,5] => 0101010 => 0101010 => 1010101
[3,7,2,8,4,6,1,5] => 0101010 => 0101010 => 1010101
[3,7,1,8,4,6,2,5] => 0101010 => 0101010 => 1010101
[1,8,4,7,3,6,2,5] => 0101010 => 0101010 => 1010101
[2,8,4,7,3,6,1,5] => 0101010 => 0101010 => 1010101
[3,8,4,7,2,6,1,5] => 0101010 => 0101010 => 1010101
[4,8,5,7,2,6,1,3] => 0101010 => 0101010 => 1010101
[3,8,5,7,2,6,1,4] => 0101010 => 0101010 => 1010101
[2,8,5,7,3,6,1,4] => 0101010 => 0101010 => 1010101
[1,8,5,7,3,6,2,4] => 0101010 => 0101010 => 1010101
[1,8,6,7,3,5,2,4] => 0101010 => 0101010 => 1010101
[2,8,6,7,3,5,1,4] => 0101010 => 0101010 => 1010101
[3,8,6,7,2,5,1,4] => 0101010 => 0101010 => 1010101
[4,8,6,7,2,5,1,3] => 0101010 => 0101010 => 1010101
[5,8,6,7,2,4,1,3] => 0101010 => 0101010 => 1010101
[6,8,5,7,1,4,2,3] => 0101010 => 0101010 => 1010101
[5,8,6,7,1,4,2,3] => 0101010 => 0101010 => 1010101
[4,8,6,7,1,5,2,3] => 0101010 => 0101010 => 1010101
[3,8,6,7,1,5,2,4] => 0101010 => 0101010 => 1010101
[1,5,2,8,6,7,3,4] => 0101010 => 0101010 => 1010101
[2,5,1,8,6,7,3,4] => 0101010 => 0101010 => 1010101
[2,6,1,8,5,7,3,4] => 0101010 => 0101010 => 1010101
[1,6,2,8,5,7,3,4] => 0101010 => 0101010 => 1010101
[3,8,5,7,1,6,2,4] => 0101010 => 0101010 => 1010101
[6,8,4,7,1,5,2,3] => 0101010 => 0101010 => 1010101
[7,8,4,6,1,5,2,3] => 0101010 => 0101010 => 1010101
[7,8,3,6,1,5,2,4] => 0101010 => 0101010 => 1010101
[6,8,3,7,1,5,2,4] => 0101010 => 0101010 => 1010101
[4,8,3,7,1,6,2,5] => 0101010 => 0101010 => 1010101
[3,8,4,7,1,6,2,5] => 0101010 => 0101010 => 1010101
[1,6,2,8,4,7,3,5] => 0101010 => 0101010 => 1010101
[2,6,1,8,4,7,3,5] => 0101010 => 0101010 => 1010101
[3,7,2,6,1,8,4,5] => 0101010 => 0101010 => 1010101
[3,7,1,6,2,8,4,5] => 0101010 => 0101010 => 1010101
[4,8,1,6,2,7,3,5] => 0101010 => 0101010 => 1010101
[5,8,1,6,2,7,3,4] => 0101010 => 0101010 => 1010101
[7,8,1,5,2,6,3,4] => 0101010 => 0101010 => 1010101
[7,8,2,5,1,6,3,4] => 0101010 => 0101010 => 1010101
[6,8,2,5,1,7,3,4] => 0101010 => 0101010 => 1010101
[5,8,2,6,1,7,3,4] => 0101010 => 0101010 => 1010101
[4,8,2,6,1,7,3,5] => 0101010 => 0101010 => 1010101
[1,7,3,6,2,8,4,5] => 0101010 => 0101010 => 1010101
[2,7,3,6,1,8,4,5] => 0101010 => 0101010 => 1010101
[1,2,3,4,5,6,7,8,9] => 00000000 => 00000000 => 11111111
[1,2,3,4,5,6,8,9,7] => 00000001 => 10000000 => 01111111
[1,2,3,4,5,7,8,9,6] => 00000001 => 10000000 => 01111111
[1,2,3,4,6,7,8,9,5] => 00000001 => 10000000 => 01111111
[1,2,3,5,6,7,8,9,4] => 00000001 => 10000000 => 01111111
[1,2,4,5,6,7,8,9,3] => 00000001 => 10000000 => 01111111
[1,3,4,5,6,7,8,9,2] => 00000001 => 10000000 => 01111111
[1,2,3,4,5,6,7,8,9,10] => 000000000 => 000000000 => 111111111
[1,2,3,4,5,6,9,8,7] => 00000011 => 11000000 => 00111111
[1,2,3,4,5,6,7,9,10,8] => 000000001 => 100000000 => 011111111
[1,2,3,4,5,8,7,9,6] => 00000101 => 10100000 => 01011111
[1,2,3,4,5,6,8,9,10,7] => 000000001 => 100000000 => 011111111
[1,2,3,4,7,6,8,9,5] => 00001001 => 10010000 => 01101111
[1,2,3,4,5,7,8,9,10,6] => 000000001 => 100000000 => 011111111
[1,2,3,6,5,7,8,9,4] => 00010001 => 10001000 => 01110111
[1,2,3,4,6,7,8,9,10,5] => 000000001 => 100000000 => 011111111
[1,2,5,4,6,7,8,9,3] => 00100001 => 10000100 => 01111011
[1,2,3,5,6,7,8,9,10,4] => 000000001 => 100000000 => 011111111
[1,4,3,5,6,7,8,9,2] => 01000001 => 10000010 => 01111101
[1,2,4,5,6,7,8,9,10,3] => 000000001 => 100000000 => 011111111
[3,2,4,5,6,7,8,9,1] => 10000001 => 10000001 => 01111110
[1,3,4,5,6,7,8,9,10,2] => 000000001 => 100000000 => 011111111
[6,7,4,8,3,5,1,2] => 0101010 => 0101010 => 1010101
[6,7,4,5,2,8,1,3] => 0101010 => 0101010 => 1010101
[5,7,4,6,2,3,1,8] => 0101010 => 0101010 => 1010101
[5,7,4,6,3,8,1,2] => 0101010 => 0101010 => 1010101
[5,7,4,8,3,6,1,2] => 0101010 => 0101010 => 1010101
[6,8,4,5,3,7,1,2] => 0101010 => 0101010 => 1010101
[5,8,4,6,3,7,1,2] => 0101010 => 0101010 => 1010101
[5,6,4,8,3,7,1,2] => 0101010 => 0101010 => 1010101
[5,6,3,7,2,4,1,8] => 0101010 => 0101010 => 1010101
[5,6,3,7,2,8,1,4] => 0101010 => 0101010 => 1010101
[5,6,3,8,2,7,1,4] => 0101010 => 0101010 => 1010101
[5,6,4,8,2,7,1,3] => 0101010 => 0101010 => 1010101
[5,8,4,6,2,7,1,3] => 0101010 => 0101010 => 1010101
[6,8,4,5,2,7,1,3] => 0101010 => 0101010 => 1010101
[7,8,4,5,2,6,1,3] => 0101010 => 0101010 => 1010101
[6,8,4,5,2,3,1,7] => 0101010 => 0101010 => 1010101
[5,8,4,6,2,3,1,7] => 0101010 => 0101010 => 1010101
[5,6,4,8,2,3,1,7] => 0101010 => 0101010 => 1010101
[5,6,3,8,2,4,1,7] => 0101010 => 0101010 => 1010101
[5,6,3,4,2,8,1,7] => 0101010 => 0101010 => 1010101
[4,6,3,5,2,7,1,8] => 0101010 => 0101010 => 1010101
[4,6,3,5,2,8,1,7] => 0101010 => 0101010 => 1010101
[4,6,3,8,2,5,1,7] => 0101010 => 0101010 => 1010101
[4,8,3,6,2,5,1,7] => 0101010 => 0101010 => 1010101
[5,8,3,6,2,4,1,7] => 0101010 => 0101010 => 1010101
[6,8,3,5,2,4,1,7] => 0101010 => 0101010 => 1010101
[7,8,3,5,2,4,1,6] => 0101010 => 0101010 => 1010101
[7,8,3,5,2,6,1,4] => 0101010 => 0101010 => 1010101
[5,8,3,6,2,7,1,4] => 0101010 => 0101010 => 1010101
[4,8,3,6,2,7,1,5] => 0101010 => 0101010 => 1010101
[4,6,3,8,2,7,1,5] => 0101010 => 0101010 => 1010101
[4,6,3,7,2,8,1,5] => 0101010 => 0101010 => 1010101
[4,7,3,6,2,5,1,8] => 0101010 => 0101010 => 1010101
[4,7,3,6,2,8,1,5] => 0101010 => 0101010 => 1010101
[4,7,3,8,2,6,1,5] => 0101010 => 0101010 => 1010101
[5,7,4,8,2,6,1,3] => 0101010 => 0101010 => 1010101
[5,7,3,6,2,8,1,4] => 0101010 => 0101010 => 1010101
[5,7,3,6,2,4,1,8] => 0101010 => 0101010 => 1010101
[6,7,3,5,2,4,1,8] => 0101010 => 0101010 => 1010101
[6,7,3,5,2,8,1,4] => 0101010 => 0101010 => 1010101
[6,7,4,8,2,5,1,3] => 0101010 => 0101010 => 1010101
[6,7,5,8,2,4,1,3] => 0101010 => 0101010 => 1010101
[6,8,5,7,2,3,1,4] => 0101010 => 0101010 => 1010101
[6,7,4,8,2,3,1,5] => 0101010 => 0101010 => 1010101
[6,7,3,8,2,4,1,5] => 0101010 => 0101010 => 1010101
[6,7,3,4,2,8,1,5] => 0101010 => 0101010 => 1010101
[5,7,3,4,2,6,1,8] => 0101010 => 0101010 => 1010101
[5,7,3,4,2,8,1,6] => 0101010 => 0101010 => 1010101
[5,7,4,8,2,3,1,6] => 0101010 => 0101010 => 1010101
[5,8,4,7,2,3,1,6] => 0101010 => 0101010 => 1010101
[6,8,4,7,2,3,1,5] => 0101010 => 0101010 => 1010101
[7,8,4,6,2,3,1,5] => 0101010 => 0101010 => 1010101
[7,8,3,6,2,4,1,5] => 0101010 => 0101010 => 1010101
[6,8,3,7,2,4,1,5] => 0101010 => 0101010 => 1010101
[5,8,3,7,2,4,1,6] => 0101010 => 0101010 => 1010101
[4,8,3,7,2,5,1,6] => 0101010 => 0101010 => 1010101
[4,7,3,8,2,5,1,6] => 0101010 => 0101010 => 1010101
[4,7,3,5,2,8,1,6] => 0101010 => 0101010 => 1010101
[4,7,3,5,2,6,1,8] => 0101010 => 0101010 => 1010101
[4,5,3,7,2,6,1,8] => 0101010 => 0101010 => 1010101
[4,5,3,7,2,8,1,6] => 0101010 => 0101010 => 1010101
[4,5,3,8,2,7,1,6] => 0101010 => 0101010 => 1010101
[4,8,3,5,2,7,1,6] => 0101010 => 0101010 => 1010101
[5,8,3,4,2,7,1,6] => 0101010 => 0101010 => 1010101
[6,8,3,4,2,7,1,5] => 0101010 => 0101010 => 1010101
[7,8,3,4,2,6,1,5] => 0101010 => 0101010 => 1010101
[6,8,3,4,2,5,1,7] => 0101010 => 0101010 => 1010101
[5,8,3,4,2,6,1,7] => 0101010 => 0101010 => 1010101
[4,8,3,5,2,6,1,7] => 0101010 => 0101010 => 1010101
[4,5,3,8,2,6,1,7] => 0101010 => 0101010 => 1010101
[4,5,3,6,2,8,1,7] => 0101010 => 0101010 => 1010101
[4,7,5,2,1,8,3,6] => 0111010 => 0101110 => 1010001
[4,8,5,2,1,7,6,3] => 0111011 => 1101110 => 0010001
[4,6,5,2,1,3,8,7] => 0111001 => 1001110 => 0110001
[5,6,4,2,3,1,8,7] => 0110101 => 1010110 => 0101001
[6,4,5,3,1,2,8,7] => 1011001 => 1001101 => 0110010
[5,4,6,1,3,2,8,7] => 1010101 => 1010101 => 0101010
[4,6,8,1,7,3,2,5] => 0010110 => 0110100 => 1001011
[4,7,8,1,6,3,5,2] => 0010101 => 1010100 => 0101011
[7,4,8,1,6,5,3,2] => 1010111 => 1110101 => 0001010
[5,4,8,1,3,7,6,2] => 1010011 => 1100101 => 0011010
[8,4,5,3,1,7,6,2] => 1011011 => 1101101 => 0010010
[5,4,7,1,3,8,2,6] => 1010010 => 0100101 => 1011010
[6,4,8,1,7,5,2,3] => 1010110 => 0110101 => 1001010
[5,6,8,7,2,1,3,4] => 0011100 => 0011100 => 1100011
[8,5,7,6,4,2,1,3] => 1011110 => 0111101 => 1000010
[8,4,6,3,7,2,1,5] => 1010110 => 0110101 => 1001010
[6,3,2,8,7,4,1,5] => 1101110 => 0111011 => 1000100
[2,1,6,8,7,4,3,5] => 1001110 => 0111001 => 1000110
[2,1,7,8,6,4,5,3] => 1001101 => 1011001 => 0100110
[7,3,2,8,6,4,5,1] => 1101101 => 1011011 => 0100100
[7,6,8,5,2,4,3,1] => 1011011 => 1101101 => 0010010
[5,7,8,6,2,3,1,4] => 0011010 => 0101100 => 1010011
[5,8,7,6,3,2,1,4] => 0111110 => 0111110 => 1000001
[6,8,7,5,3,2,4,1] => 0111101 => 1011110 => 0100001
[5,8,4,2,3,7,6,1] => 0110011 => 1100110 => 0011001
[7,8,4,2,6,5,3,1] => 0110111 => 1110110 => 0001001
[4,8,7,2,6,3,5,1] => 0110101 => 1010110 => 0101001
[4,8,6,2,7,3,1,5] => 0110110 => 0110110 => 1001001
[3,6,1,8,7,4,2,5] => 0101110 => 0111010 => 1000101
[3,7,1,8,6,4,5,2] => 0101101 => 1011010 => 0100101
[3,8,1,6,7,5,2,4] => 0100110 => 0110010 => 1001101
[3,7,1,6,8,2,5,4] => 0100101 => 1010010 => 0101101
[4,7,6,2,8,1,3,5] => 0110100 => 0010110 => 1101001
[6,7,4,2,8,1,5,3] => 0110101 => 1010110 => 0101001
[6,8,4,2,7,5,1,3] => 0110110 => 0110110 => 1001001
[2,1,8,6,7,5,3,4] => 1010110 => 0110101 => 1001010
[8,3,2,6,7,5,1,4] => 1100110 => 0110011 => 1001100
[8,6,4,3,7,5,1,2] => 1110110 => 0110111 => 1001000
[5,8,6,7,3,1,2,4] => 0101100 => 0011010 => 1100101
[6,7,5,8,1,3,4,2] => 0101001 => 1001010 => 0110101
[7,6,5,8,1,4,3,2] => 1101011 => 1101011 => 0010100
[8,6,5,7,4,1,3,2] => 1101101 => 1011011 => 0100100
[7,6,4,3,8,1,5,2] => 1110101 => 1010111 => 0101000
[7,3,2,6,8,1,5,4] => 1100101 => 1010011 => 0101100
[2,1,7,6,8,3,5,4] => 1010101 => 1010101 => 0101010
[7,5,6,8,1,4,2,3] => 1001010 => 0101001 => 1010110
[6,5,7,8,1,2,4,3] => 1001001 => 1001001 => 0110110
[8,1,3,7,4,6,5,2] => 1001011 => 1101001 => 0010110
[5,2,8,7,4,6,1,3] => 1011010 => 0101101 => 1010010
[1,6,2,5,4,7,3,8] => 0101010 => 0101010 => 1010101
[6,2,7,5,4,8,3,1] => 1011011 => 1101101 => 0010010
[8,1,3,5,4,7,6,2] => 1001011 => 1101001 => 0010110
[6,1,5,4,3,8,7,2] => 1011011 => 1101101 => 0010010
[6,1,8,3,4,5,7,2] => 1010001 => 1000101 => 0111010
[7,1,5,3,4,8,6,2] => 1010011 => 1100101 => 0011010
[7,1,4,3,5,6,8,2] => 1010001 => 1000101 => 0111010
[8,1,3,4,5,6,7,2] => 1000001 => 1000001 => 0111110
[1,7,2,4,5,6,3,8] => 0100010 => 0100010 => 1011101
[6,3,2,7,5,1,8,4] => 1101101 => 1011011 => 0100100
[8,4,7,2,5,6,1,3] => 1010010 => 0100101 => 1011010
[6,5,8,2,4,7,3,1] => 1010011 => 1100101 => 0011010
[8,5,2,1,4,3,7,6] => 1110101 => 1010111 => 0101000
[6,5,2,8,4,1,3,7] => 1101100 => 0011011 => 1100100
[5,6,2,1,4,8,3,7] => 0110010 => 0100110 => 1011001
[3,6,1,8,5,2,4,7] => 0101100 => 0011010 => 1100101
[1,2,6,3,5,4,7,8] => 0010100 => 0010100 => 1101011
[3,4,1,2,8,6,5,7] => 0100110 => 0110010 => 1001101
[4,3,1,2,6,8,5,7] => 1100010 => 0100011 => 1011100
[5,8,1,6,3,2,4,7] => 0101100 => 0011010 => 1100101
[6,3,8,5,2,1,4,7] => 1011100 => 0011101 => 1100010
[8,3,1,5,2,4,7,6] => 1101001 => 1001011 => 0110100
[3,8,2,6,1,5,7,4] => 0101001 => 1001010 => 0110101
[3,8,6,7,2,1,5,4] => 0101101 => 1011010 => 0100101
[8,5,6,4,2,1,7,3] => 1011101 => 1011101 => 0100010
[7,2,5,8,3,1,6,4] => 1001101 => 1011001 => 0100110
[1,7,5,6,3,2,4,8] => 0101100 => 0011010 => 1100101
[6,1,2,3,8,5,7,4] => 1000101 => 1010001 => 0101110
[7,1,2,3,6,5,8,4] => 1000101 => 1010001 => 0101110
[7,2,1,3,8,6,4,5] => 1100110 => 0110011 => 1001100
[1,5,7,3,2,4,6,8] => 0011000 => 0001100 => 1110011
[5,2,7,3,1,8,4,6] => 1011010 => 0101101 => 1010010
[5,8,2,4,1,3,7,6] => 0101001 => 1001010 => 0110101
[8,7,2,6,3,4,1,5] => 1101010 => 0101011 => 1010100
[4,8,1,6,3,2,7,5] => 0101101 => 1011010 => 0100101
[3,1,8,6,4,2,7,5] => 1011101 => 1011101 => 0100010
[8,1,6,7,4,3,2,5] => 1001110 => 0111001 => 1000110
[3,5,8,7,2,4,1,6] => 0011010 => 0101100 => 1010011
[4,2,1,3,7,8,5,6] => 1100010 => 0100011 => 1011100
[2,4,1,3,8,7,5,6] => 0100110 => 0110010 => 1001101
[2,5,8,3,1,7,4,6] => 0011010 => 0101100 => 1010011
[8,6,1,3,7,2,4,5] => 1100100 => 0010011 => 1101100
[2,8,1,3,6,4,7,5] => 0100101 => 1010010 => 0101101
[6,8,2,3,4,1,5,7] => 0100100 => 0010010 => 1101101
[5,1,8,3,2,4,6,7] => 1011000 => 0001101 => 1110010
[9,8,7,6,5,4,3,2,1] => 11111111 => 11111111 => 00000000
[8,9,7,6,5,4,3,2,1] => 01111111 => 11111110 => 00000001
[8,7,9,6,5,4,3,2,1] => 10111111 => 11111101 => 00000010
[8,7,6,9,5,4,3,2,1] => 11011111 => 11111011 => 00000100
[8,7,6,5,9,4,3,2,1] => 11101111 => 11110111 => 00001000
[8,7,6,5,4,9,3,2,1] => 11110111 => 11101111 => 00010000
[8,7,6,5,4,3,9,2,1] => 11111011 => 11011111 => 00100000
[8,7,6,5,4,3,2,9,1] => 11111101 => 10111111 => 01000000
[8,7,6,5,4,3,2,1,9] => 11111110 => 01111111 => 10000000
[9,10,8,7,6,5,4,3,2,1] => 011111111 => 111111110 => 000000001
[7,8,9,6,5,4,3,2,1] => 00111111 => 11111100 => 00000011
[9,8,10,7,6,5,4,3,2,1] => 101111111 => 111111101 => 000000010
[8,6,7,9,5,4,3,2,1] => 10011111 => 11111001 => 00000110
[9,8,7,10,6,5,4,3,2,1] => 110111111 => 111111011 => 000000100
[8,7,5,6,9,4,3,2,1] => 11001111 => 11110011 => 00001100
[9,8,7,6,10,5,4,3,2,1] => 111011111 => 111110111 => 000001000
[8,7,6,4,5,9,3,2,1] => 11100111 => 11100111 => 00011000
[9,8,7,6,5,10,4,3,2,1] => 111101111 => 111101111 => 000010000
[8,7,6,5,3,4,9,2,1] => 11110011 => 11001111 => 00110000
[9,8,7,6,5,4,10,3,2,1] => 111110111 => 111011111 => 000100000
[8,7,6,5,4,2,3,9,1] => 11111001 => 10011111 => 01100000
[9,8,7,6,5,4,3,10,2,1] => 111111011 => 110111111 => 001000000
[8,7,6,5,4,3,1,2,9] => 11111100 => 00111111 => 11000000
[9,8,7,6,5,4,3,2,10,1] => 111111101 => 101111111 => 010000000
[9,8,7,6,5,4,3,2,1,10] => 111111110 => 011111111 => 100000000
[1,4,2,7,8,6,3,5] => 0100110 => 0110010 => 1001101
[1,6,2,4,8,5,3,7] => 0100110 => 0110010 => 1001101
[1,6,2,4,7,5,3,8] => 0100110 => 0110010 => 1001101
[1,7,3,8,5,2,4,6] => 0101100 => 0011010 => 1100101
[1,7,3,2,8,6,4,5] => 0110110 => 0110110 => 1001001
[4,2,5,7,8,6,1,3] => 1000110 => 0110001 => 1001110
[7,2,3,1,8,5,6,4] => 1010101 => 1010101 => 0101010
[8,2,5,1,7,3,4,6] => 1010100 => 0010101 => 1101010
[6,2,1,8,3,4,7,5] => 1101001 => 1001011 => 0110100
[6,2,8,3,5,1,7,4] => 1010101 => 1010101 => 0101010
[6,2,4,8,5,7,1,3] => 1001010 => 0101001 => 1010110
[1,3,6,4,8,5,7,2] => 0010101 => 1010100 => 0101011
[1,3,6,4,7,5,8,2] => 0010101 => 1010100 => 0101011
[6,2,4,7,5,8,1,3] => 1001010 => 0101001 => 1010110
[6,2,1,3,7,8,4,5] => 1100010 => 0100011 => 1011100
[7,8,2,1,4,3,5,6] => 0110100 => 0010110 => 1101001
[7,6,4,2,3,1,8,5] => 1110101 => 1010111 => 0101000
[5,7,2,3,1,6,8,4] => 0101001 => 1001010 => 0110101
[7,5,4,2,6,8,1,3] => 1110010 => 0100111 => 1011000
[1,7,5,3,4,6,8,2] => 0110001 => 1000110 => 0111001
[8,2,5,4,6,7,1,3] => 1010010 => 0100101 => 1011010
[5,2,6,3,1,8,7,4] => 1011011 => 1101101 => 0010010
[8,2,6,4,3,1,7,5] => 1011101 => 1011101 => 0100010
[8,2,7,4,1,3,5,6] => 1011000 => 0001101 => 1110010
[1,2,8,4,3,5,6,7] => 0011000 => 0001100 => 1110011
[1,7,4,2,3,5,6,8] => 0110000 => 0000110 => 1111001
[6,8,4,1,3,2,5,7] => 0110100 => 0010110 => 1101001
[1,8,7,4,3,2,5,6] => 0111100 => 0011110 => 1100001
[1,6,3,8,2,4,7,5] => 0101001 => 1001010 => 0110101
[5,3,8,1,2,7,4,6] => 1010010 => 0100101 => 1011010
[5,1,8,3,2,6,4,7] => 1011010 => 0101101 => 1010010
[5,7,3,1,2,6,4,8] => 0110010 => 0100110 => 1011001
[1,7,5,4,2,6,3,8] => 0111010 => 0101110 => 1010001
[1,5,8,2,4,6,3,7] => 0010010 => 0100100 => 1011011
[1,5,8,4,2,7,3,6] => 0011010 => 0101100 => 1010011
[1,4,6,2,8,3,7,5] => 0010101 => 1010100 => 0101011
[5,3,1,6,7,2,4,8] => 1100100 => 0010011 => 1101100
[5,3,6,1,2,8,4,7] => 1010010 => 0100101 => 1011010
[1,6,3,2,7,8,4,5] => 0110010 => 0100110 => 1011001
[1,7,4,5,3,8,6,2] => 0101011 => 1101010 => 0010101
[6,3,4,1,2,5,8,7] => 1010001 => 1000101 => 0111010
[6,3,1,4,2,7,5,8] => 1101010 => 0101011 => 1010100
[1,8,3,2,4,5,6,7] => 0110000 => 0000110 => 1111001
[8,6,3,2,4,1,7,5] => 1110101 => 1010111 => 0101000
[8,5,3,2,6,7,1,4] => 1110010 => 0100111 => 1011000
[4,5,2,6,8,1,7,3] => 0100101 => 1010010 => 0101101
[4,2,5,6,7,8,1,3] => 1000010 => 0100001 => 1011110
[5,2,3,6,7,1,8,4] => 1000101 => 1010001 => 0101110
[6,2,3,4,1,7,8,5] => 1001001 => 1001001 => 0110110
[7,2,3,1,4,5,8,6] => 1010001 => 1000101 => 0111010
[8,6,1,4,3,2,5,7] => 1101100 => 0011011 => 1100100
[8,3,1,6,5,2,4,7] => 1101100 => 0011011 => 1100100
[3,7,5,1,8,2,4,6] => 0110100 => 0010110 => 1101001
[4,1,5,2,8,7,3,6] => 1010110 => 0110101 => 1001010
[8,1,2,4,6,5,3,7] => 1000110 => 0110001 => 1001110
[8,1,2,5,4,6,3,7] => 1001010 => 0101001 => 1010110
[8,2,6,5,1,3,4,7] => 1011000 => 0001101 => 1110010
[8,3,1,6,2,5,4,7] => 1101010 => 0101011 => 1010100
[8,1,2,6,4,5,3,7] => 1001010 => 0101001 => 1010110
[8,1,2,5,6,4,3,7] => 1000110 => 0110001 => 1001110
[8,1,2,6,5,4,3,7] => 1001110 => 0111001 => 1000110
[1,7,5,4,2,8,3,6] => 0111010 => 0101110 => 1010001
[5,1,4,8,2,7,3,6] => 1001010 => 0101001 => 1010110
[1,4,6,8,2,7,3,5] => 0001010 => 0101000 => 1010111
[1,4,7,6,2,8,3,5] => 0011010 => 0101100 => 1010011
[5,1,4,7,2,8,3,6] => 1001010 => 0101001 => 1010110
[1,7,4,5,2,8,3,6] => 0101010 => 0101010 => 1010101
[3,7,5,1,2,8,4,6] => 0110010 => 0100110 => 1011001
[5,7,2,8,1,3,4,6] => 0101000 => 0001010 => 1110101
[5,2,8,7,1,3,4,6] => 1011000 => 0001101 => 1110010
[4,1,5,8,2,7,3,6] => 1001010 => 0101001 => 1010110
[1,4,6,2,8,7,3,5] => 0010110 => 0110100 => 1001011
[1,4,2,8,6,7,3,5] => 0101010 => 0101010 => 1010101
[3,1,2,6,4,8,7,5] => 1001011 => 1101001 => 0010110
[2,1,7,6,3,4,8,5] => 1011001 => 1001101 => 0110010
[3,1,2,7,4,6,8,5] => 1001001 => 1001001 => 0110110
[1,4,7,2,6,8,3,5] => 0010010 => 0100100 => 1011011
[1,2,3,6,8,5,7,4] => 0000101 => 1010000 => 0101111
[5,1,4,2,7,8,3,6] => 1010010 => 0100101 => 1011010
[1,4,2,7,6,8,3,5] => 0101010 => 0101010 => 1010101
[1,4,2,6,8,7,3,5] => 0100110 => 0110010 => 1001101
[3,1,2,8,4,6,7,5] => 1001001 => 1001001 => 0110110
[3,1,2,7,6,4,8,5] => 1001101 => 1011001 => 0100110
[5,3,7,1,8,2,4,6] => 1010100 => 0010101 => 1101010
[1,7,4,3,2,5,8,6] => 0111001 => 1001110 => 0110001
[4,8,7,2,1,3,5,6] => 0111000 => 0001110 => 1110001
[1,8,7,3,4,2,5,6] => 0110100 => 0010110 => 1101001
[3,1,7,8,2,6,4,5] => 1001010 => 0101001 => 1010110
[1,4,2,7,8,3,6,5] => 0100101 => 1010010 => 0101101
[5,2,8,1,3,4,7,6] => 1010001 => 1000101 => 0111010
[2,1,8,6,3,4,7,5] => 1011001 => 1001101 => 0110010
[1,4,2,6,8,3,7,5] => 0100101 => 1010010 => 0101101
[1,2,3,7,8,5,6,4] => 0000101 => 1010000 => 0101111
[1,2,3,7,5,8,6,4] => 0001011 => 1101000 => 0010111
[1,4,2,7,3,8,6,5] => 0101011 => 1101010 => 0010101
[3,1,7,2,8,6,4,5] => 1010110 => 0110101 => 1001010
[2,1,7,8,3,4,6,5] => 1001001 => 1001001 => 0110110
[1,2,3,8,7,5,6,4] => 0001101 => 1011000 => 0100111
[10,1,2,3,4,5,6,7,8,9] => 100000000 => 000000001 => 111111110
[10,1,2,3,4,5,6,9,7,8] => 100000010 => 010000001 => 101111110
[10,1,2,3,4,5,9,6,7,8] => 100000100 => 001000001 => 110111110
[9,1,2,3,4,10,5,6,7,8] => 100001000 => 000100001 => 111011110
[10,1,2,3,9,4,5,6,7,8] => 100010000 => 000010001 => 111101110
[10,1,2,9,3,4,5,6,7,8] => 100100000 => 000001001 => 111110110
[9,1,10,2,3,4,5,6,7,8] => 101000000 => 000000101 => 111111010
[10,9,1,2,3,4,5,6,7,8] => 110000000 => 000000011 => 111111100
[11,1,2,3,4,5,6,7,8,9,10] => 1000000000 => 0000000001 => 1111111110
[10,1,2,3,4,5,6,7,8,11,9] => 1000000001 => 1000000001 => 0111111110
[8,1,2,3,4,5,6,9,10,7] => 100000001 => 100000001 => 011111110
[11,1,2,3,4,5,6,7,10,8,9] => 1000000010 => 0100000001 => 1011111110
[7,1,2,3,4,5,10,9,6,8] => 100000110 => 011000001 => 100111110
[11,1,2,3,4,5,6,10,7,8,9] => 1000000100 => 0010000001 => 1101111110
[6,1,2,3,4,10,9,5,7,8] => 100001100 => 001100001 => 110011110
[10,1,2,3,4,5,11,6,7,8,9] => 1000001000 => 0001000001 => 1110111110
[5,1,2,3,9,10,4,6,7,8] => 100001000 => 000100001 => 111011110
[11,1,2,3,4,10,5,6,7,8,9] => 1000010000 => 0000100001 => 1111011110
[4,1,2,10,9,3,5,6,7,8] => 100110000 => 000011001 => 111100110
[11,1,2,3,10,4,5,6,7,8,9] => 1000100000 => 0000010001 => 1111101110
[3,1,10,9,2,4,5,6,7,8] => 101100000 => 000001101 => 111110010
[10,1,2,11,3,4,5,6,7,8,9] => 1001000000 => 0000001001 => 1111110110
[2,9,10,1,3,4,5,6,7,8] => 001000000 => 000000100 => 111111011
[11,1,10,2,3,4,5,6,7,8,9] => 1010000000 => 0000000101 => 1111111010
[11,10,1,2,3,4,5,6,7,8,9] => 1100000000 => 0000000011 => 1111111100
[4,7,8,5,6,2,1,3] => 0010110 => 0110100 => 1001011
[5,7,8,4,2,6,1,3] => 0011010 => 0101100 => 1010011
[6,7,8,4,2,5,1,3] => 0011010 => 0101100 => 1010011
[8,6,3,7,2,1,5,4] => 1101101 => 1011011 => 0100100
[7,6,3,8,2,1,5,4] => 1101101 => 1011011 => 0100100
[6,7,8,3,2,1,5,4] => 0011101 => 1011100 => 0100011
[5,7,8,3,2,1,6,4] => 0011101 => 1011100 => 0100011
[2,7,8,4,3,5,6,1] => 0011001 => 1001100 => 0110011
[3,7,8,4,2,5,1,6] => 0011010 => 0101100 => 1010011
[4,7,8,3,2,1,5,6] => 0011100 => 0011100 => 1100011
[5,7,8,3,2,1,4,6] => 0011100 => 0011100 => 1100011
[7,6,3,8,2,1,4,5] => 1101100 => 0011011 => 1100100
[8,6,3,7,2,1,4,5] => 1101100 => 0011011 => 1100100
[5,6,3,8,2,1,4,7] => 0101100 => 0011010 => 1100101
[3,6,4,8,2,5,1,7] => 0101010 => 0101010 => 1010101
[2,6,4,8,3,5,7,1] => 0101001 => 1001010 => 0110101
[2,6,4,7,3,5,8,1] => 0101001 => 1001010 => 0110101
[3,6,4,7,2,5,1,8] => 0101010 => 0101010 => 1010101
[4,6,3,7,2,1,5,8] => 0101100 => 0011010 => 1100101
[5,6,3,7,2,1,4,8] => 0101100 => 0011010 => 1100101
[8,4,3,2,1,6,5,7] => 1111010 => 0101111 => 1010000
[6,4,3,2,1,7,5,8] => 1111010 => 0101111 => 1010000
[4,5,3,2,7,1,6,8] => 0110100 => 0010110 => 1101001
[3,5,4,2,8,6,1,7] => 0110110 => 0110110 => 1001001
[6,4,3,2,1,8,5,7] => 1111010 => 0101111 => 1010000
[7,4,3,2,1,8,5,6] => 1111010 => 0101111 => 1010000
[8,4,3,2,1,7,5,6] => 1111010 => 0101111 => 1010000
[8,4,3,2,1,7,6,5] => 1111011 => 1101111 => 0010000
[7,4,3,2,1,8,6,5] => 1111011 => 1101111 => 0010000
[6,4,3,2,1,8,7,5] => 1111011 => 1101111 => 0010000
[5,6,3,8,2,1,7,4] => 0101101 => 1011010 => 0100101
[7,5,3,2,8,1,6,4] => 1110101 => 1010111 => 0101000
[8,5,4,2,7,6,1,3] => 1110110 => 0110111 => 1001000
[7,5,4,2,8,6,1,3] => 1110110 => 0110111 => 1001000
[6,5,4,2,8,7,1,3] => 1110110 => 0110111 => 1001000
[4,6,5,8,7,2,1,3] => 0101110 => 0111010 => 1000101
[2,6,5,7,8,3,4,1] => 0100101 => 1010010 => 0101101
[6,5,4,2,7,8,1,3] => 1110010 => 0100111 => 1011000
[8,5,4,2,6,7,1,3] => 1110010 => 0100111 => 1011000
[8,5,3,2,6,1,7,4] => 1110101 => 1010111 => 0101000
[7,5,3,2,6,1,8,4] => 1110101 => 1010111 => 0101000
[5,6,3,7,2,1,8,4] => 0101101 => 1011010 => 0100101
[4,6,3,7,2,1,8,5] => 0101101 => 1011010 => 0100101
[3,6,4,7,2,8,1,5] => 0101010 => 0101010 => 1010101
[2,6,4,7,3,8,5,1] => 0101011 => 1101010 => 0010101
[3,5,4,2,7,8,1,6] => 0110010 => 0100110 => 1011001
[4,5,3,2,7,1,8,6] => 0110101 => 1010110 => 0101001
[7,4,3,2,1,6,8,5] => 1111001 => 1001111 => 0110000
[8,4,3,2,1,6,7,5] => 1111001 => 1001111 => 0110000
[8,4,3,2,1,5,7,6] => 1111001 => 1001111 => 0110000
[7,4,3,2,1,5,8,6] => 1111001 => 1001111 => 0110000
[6,4,3,2,1,5,8,7] => 1111001 => 1001111 => 0110000
[3,5,4,2,6,8,1,7] => 0110010 => 0100110 => 1011001
[5,6,3,4,1,2,8,7] => 0101001 => 1001010 => 0110101
[8,5,3,7,2,6,4,1] => 1101011 => 1101011 => 0010100
[8,5,7,4,2,6,3,1] => 1011011 => 1101101 => 0010010
[7,5,8,4,2,6,1,3] => 1011010 => 0101101 => 1010010
[2,1,7,8,5,6,3,4] => 1001010 => 0101001 => 1010110
[6,8,3,7,5,1,4,2] => 0101101 => 1011010 => 0100101
[5,7,3,8,1,6,2,4] => 0101010 => 0101010 => 1010101
[3,2,6,4,8,5,1,7] => 1010110 => 0110101 => 1001010
[3,5,2,4,1,7,6,8] => 0101010 => 0101010 => 1010101
[4,2,5,8,3,1,6,7] => 1001100 => 0011001 => 1100110
[3,1,5,4,2,8,6,7] => 1011010 => 0101101 => 1010010
[4,1,5,8,3,2,6,7] => 1001100 => 0011001 => 1100110
[4,3,8,5,2,1,6,7] => 1011100 => 0011101 => 1100010
[4,7,3,5,2,1,6,8] => 0101100 => 0011010 => 1100101
[4,3,2,7,5,1,6,8] => 1101100 => 0011011 => 1100100
[4,3,6,2,5,1,7,8] => 1010100 => 0010101 => 1101010
[4,6,3,2,5,1,7,8] => 0110100 => 0010110 => 1101001
[4,5,1,7,3,2,6,8] => 0101100 => 0011010 => 1100101
[5,2,1,4,3,7,8,6] => 1101001 => 1001011 => 0110100
[4,3,1,5,7,2,6,8] => 1100100 => 0010011 => 1101100
[4,3,6,1,5,2,7,8] => 1010100 => 0010101 => 1101010
[4,6,3,1,5,2,7,8] => 0110100 => 0010110 => 1101001
[5,3,6,4,1,2,7,8] => 1011000 => 0001101 => 1110010
[4,3,6,1,7,2,5,8] => 1010100 => 0010101 => 1101010
[6,2,4,1,3,7,8,5] => 1010001 => 1000101 => 0111010
[3,6,4,1,2,7,5,8] => 0110010 => 0100110 => 1011001
[4,6,3,1,7,2,5,8] => 0110100 => 0010110 => 1101001
[5,6,2,7,1,3,4,8] => 0101000 => 0001010 => 1110101
[4,5,2,7,3,1,6,8] => 0101100 => 0011010 => 1100101
[4,6,2,1,7,3,5,8] => 0110100 => 0010110 => 1101001
[3,2,6,1,4,7,5,8] => 1010010 => 0100101 => 1011010
[3,5,2,7,4,6,1,8] => 0101010 => 0101010 => 1010101
[3,7,2,4,8,5,1,6] => 0100110 => 0110010 => 1001101
[7,3,1,4,6,8,2,5] => 1100010 => 0100011 => 1011100
[3,2,6,1,5,7,4,8] => 1010010 => 0100101 => 1011010
[6,3,2,1,5,7,4,8] => 1110010 => 0100111 => 1011000
[6,4,2,1,5,3,7,8] => 1110100 => 0010111 => 1101000
[4,2,6,1,5,3,7,8] => 1010100 => 0010101 => 1101010
[4,2,1,7,5,3,6,8] => 1101100 => 0011011 => 1100100
[7,4,1,5,6,2,3,8] => 1100100 => 0010011 => 1101100
[7,3,1,5,2,6,4,8] => 1101010 => 0101011 => 1010100
[6,3,5,1,2,7,4,8] => 1010010 => 0100101 => 1011010
[5,2,6,4,1,3,7,8] => 1011000 => 0001101 => 1110010
[3,6,5,1,2,7,4,8] => 0110010 => 0100110 => 1011001
[6,5,2,1,4,7,8,3] => 1110001 => 1000111 => 0111000
[6,5,3,1,4,7,2,8] => 1110010 => 0100111 => 1011000
[2,3,1,8,5,4,7,6] => 0101101 => 1011010 => 0100101
[2,4,1,5,8,3,7,6] => 0100101 => 1010010 => 0101101
[2,4,1,5,3,8,7,6] => 0101011 => 1101010 => 0010101
[3,4,5,1,2,8,7,6] => 0010011 => 1100100 => 0011011
[3,4,5,1,8,2,7,6] => 0010101 => 1010100 => 0101011
[1,8,4,5,3,2,7,6] => 0101101 => 1011010 => 0100101
[2,4,8,5,3,1,7,6] => 0011101 => 1011100 => 0100011
[3,4,5,8,2,1,7,6] => 0001101 => 1011000 => 0100111
[3,4,5,2,8,1,7,6] => 0010101 => 1010100 => 0101011
[3,4,6,2,1,7,8,5] => 0011001 => 1001100 => 0110011
[3,4,6,2,1,7,5,8] => 0011010 => 0101100 => 1010011
[3,5,6,2,7,1,4,8] => 0010100 => 0010100 => 1101011
[3,5,6,2,7,1,8,4] => 0010101 => 1010100 => 0101011
[3,5,6,2,7,8,1,4] => 0010010 => 0100100 => 1011011
[3,4,6,2,8,7,1,5] => 0010110 => 0110100 => 1001011
[3,4,6,8,2,7,1,5] => 0001010 => 0101000 => 1010111
[2,4,8,6,3,7,1,5] => 0011010 => 0101100 => 1010011
[1,8,4,6,3,7,2,5] => 0101010 => 0101010 => 1010101
[1,8,4,6,3,7,5,2] => 0101011 => 1101010 => 0010101
[3,4,6,8,2,7,5,1] => 0001011 => 1101000 => 0010111
[3,4,6,2,8,7,5,1] => 0010111 => 1110100 => 0001011
[3,5,6,2,7,8,4,1] => 0010011 => 1100100 => 0011011
[3,5,6,2,7,4,1,8] => 0010110 => 0110100 => 1001011
[4,5,6,7,2,8,3,1] => 0001011 => 1101000 => 0010111
[3,5,6,8,7,2,4,1] => 0001101 => 1011000 => 0100111
[2,5,8,6,7,3,4,1] => 0010101 => 1010100 => 0101011
[1,8,5,6,7,3,4,2] => 0100101 => 1010010 => 0101101
[1,8,5,6,7,3,2,4] => 0100110 => 0110010 => 1001101
[2,5,8,6,7,3,1,4] => 0010110 => 0110100 => 1001011
[3,5,6,8,7,2,1,4] => 0001110 => 0111000 => 1000111
[4,5,6,7,2,1,8,3] => 0001101 => 1011000 => 0100111
[3,4,6,1,8,7,2,5] => 0010110 => 0110100 => 1001011
[2,4,1,6,8,7,3,5] => 0100110 => 0110010 => 1001101
[2,3,1,8,6,7,4,5] => 0101010 => 0101010 => 1010101
[1,8,3,2,6,7,5,4] => 0110011 => 1100110 => 0011001
[2,5,1,6,7,8,4,3] => 0100011 => 1100010 => 0011101
[2,5,1,6,7,4,8,3] => 0100101 => 1010010 => 0101101
[2,5,1,6,7,4,3,8] => 0100110 => 0110010 => 1001101
[3,5,6,1,7,4,2,8] => 0010110 => 0110100 => 1001011
[3,5,6,1,7,4,8,2] => 0010101 => 1010100 => 0101011
[3,4,6,1,8,7,5,2] => 0010111 => 1110100 => 0001011
[3,4,6,8,1,7,5,2] => 0001011 => 1101000 => 0010111
[2,4,8,6,1,7,5,3] => 0011011 => 1101100 => 0010011
[1,8,4,6,2,7,5,3] => 0101011 => 1101010 => 0010101
[1,8,5,6,7,2,4,3] => 0100101 => 1010010 => 0101101
[2,5,8,6,7,1,4,3] => 0010101 => 1010100 => 0101011
[3,5,6,8,7,1,4,2] => 0001101 => 1011000 => 0100111
[4,5,6,7,8,1,3,2] => 0000101 => 1010000 => 0101111
[4,5,6,7,1,3,8,2] => 0001001 => 1001000 => 0110111
[4,5,6,7,1,3,2,8] => 0001010 => 0101000 => 1010111
[4,5,6,7,3,1,8,2] => 0001101 => 1011000 => 0100111
[3,5,6,8,7,4,1,2] => 0001110 => 0111000 => 1000111
[2,5,8,6,7,4,1,3] => 0010110 => 0110100 => 1001011
[1,8,5,6,7,4,2,3] => 0100110 => 0110010 => 1001101
[1,8,5,6,7,4,3,2] => 0100111 => 1110010 => 0001101
[2,5,8,6,7,4,3,1] => 0010111 => 1110100 => 0001011
[8,2,5,3,7,1,6,4] => 1010101 => 1010101 => 0101010
[8,2,4,3,7,1,6,5] => 1010101 => 1010101 => 0101010
[5,8,2,4,3,7,1,6] => 0101010 => 0101010 => 1010101
[4,2,5,6,1,8,3,7] => 1001010 => 0101001 => 1010110
[4,2,5,6,1,7,3,8] => 1001010 => 0101001 => 1010110
[6,1,5,7,3,2,4,8] => 1001100 => 0011001 => 1100110
[6,1,5,8,3,2,4,7] => 1001100 => 0011001 => 1100110
[3,8,2,4,7,1,5,6] => 0100100 => 0010010 => 1101101
[3,6,8,2,4,7,1,5] => 0010010 => 0100100 => 1011011
[4,3,5,6,7,1,8,2] => 1000101 => 1010001 => 0101110
[3,7,1,5,6,8,2,4] => 0100010 => 0100010 => 1011101
[3,7,1,5,8,2,4,6] => 0100100 => 0010010 => 1101101
[8,3,2,4,6,1,5,7] => 1100100 => 0010011 => 1101100
[7,3,2,4,6,1,5,8] => 1100100 => 0010011 => 1101100
[3,2,5,1,7,4,6,8] => 1010100 => 0010101 => 1101010
[3,2,5,1,8,4,6,7] => 1010100 => 0010101 => 1101010
[3,2,5,1,7,8,4,6] => 1010010 => 0100101 => 1011010
[7,8,3,2,4,6,1,5] => 0110010 => 0100110 => 1011001
[6,1,5,7,8,3,2,4] => 1000110 => 0110001 => 1001110
[4,2,5,6,1,7,8,3] => 1001001 => 1001001 => 0110110
[5,7,6,1,8,3,4,2] => 0110101 => 1010110 => 0101001
[5,8,6,1,7,3,4,2] => 0110101 => 1010110 => 0101001
[6,1,5,8,7,3,2,4] => 1001110 => 0111001 => 1000110
[8,7,3,2,4,6,1,5] => 1110010 => 0100111 => 1011000
[3,2,5,1,8,7,4,6] => 1010110 => 0110101 => 1001010
[3,2,5,1,6,4,7,8] => 1010100 => 0010101 => 1101010
[3,2,4,1,8,7,5,6] => 1010110 => 0110101 => 1001010
[3,2,5,1,6,8,7,4] => 1010011 => 1100101 => 0011010
[3,8,6,5,1,7,4,2] => 0111011 => 1101110 => 0010001
[3,7,6,5,1,8,4,2] => 0111011 => 1101110 => 0010001
[6,5,1,7,8,4,2,3] => 1100110 => 0110011 => 1001100
[3,2,5,1,6,7,8,4] => 1010001 => 1000101 => 0111010
[3,2,4,1,8,5,6,7] => 1010100 => 0010101 => 1101010
[3,2,4,1,7,5,6,8] => 1010100 => 0010101 => 1101010
[3,2,4,1,6,8,5,7] => 1010010 => 0100101 => 1011010
[3,2,4,1,8,5,7,6] => 1010101 => 1010101 => 0101010
[8,3,2,4,7,6,1,5] => 1100110 => 0110011 => 1001100
[3,2,5,1,8,4,7,6] => 1010101 => 1010101 => 0101010
[3,2,5,1,6,7,4,8] => 1010010 => 0100101 => 1011010
[6,5,1,7,4,2,3,8] => 1101100 => 0011011 => 1100100
[6,5,1,8,4,2,3,7] => 1101100 => 0011011 => 1100100
[8,4,2,3,7,5,1,6] => 1100110 => 0110011 => 1001100
[4,2,6,1,8,3,7,5] => 1010101 => 1010101 => 0101010
[5,2,6,1,8,3,7,4] => 1010101 => 1010101 => 0101010
[8,4,6,1,7,3,5,2] => 1010101 => 1010101 => 0101010
[5,2,6,1,8,4,7,3] => 1010101 => 1010101 => 0101010
[7,4,2,3,8,5,1,6] => 1100110 => 0110011 => 1001100
[8,5,1,6,4,2,3,7] => 1101100 => 0011011 => 1100100
[7,5,1,6,4,2,3,8] => 1101100 => 0011011 => 1100100
[3,2,5,1,7,6,4,8] => 1010110 => 0110101 => 1001010
[3,2,5,1,8,6,4,7] => 1010110 => 0110101 => 1001010
[7,3,2,4,8,6,1,5] => 1100110 => 0110011 => 1001100
[8,6,1,5,7,3,2,4] => 1100110 => 0110011 => 1001100
[4,2,6,1,8,5,7,3] => 1010101 => 1010101 => 0101010
[8,5,6,1,7,3,4,2] => 1010101 => 1010101 => 0101010
[3,6,8,5,1,7,4,2] => 0011011 => 1101100 => 0010011
[8,5,1,6,7,4,2,3] => 1100110 => 0110011 => 1001100
[3,2,5,1,8,6,7,4] => 1010101 => 1010101 => 0101010
[3,2,4,1,8,6,5,7] => 1010110 => 0110101 => 1001010
[3,2,4,1,5,8,6,7] => 1010010 => 0100101 => 1011010
[3,2,5,1,7,8,6,4] => 1010011 => 1100101 => 0011010
[7,8,5,1,6,4,2,3] => 0110110 => 0110110 => 1001001
[3,8,5,1,7,6,4,2] => 0110111 => 1110110 => 0001001
[3,7,5,1,8,6,4,2] => 0110111 => 1110110 => 0001001
[8,7,5,1,6,4,2,3] => 1110110 => 0110111 => 1001000
[3,2,5,1,8,7,6,4] => 1010111 => 1110101 => 0001010
[6,5,7,3,1,8,4,2] => 1011011 => 1101101 => 0010010
[4,6,3,7,1,8,5,2] => 0101011 => 1101010 => 0010101
[4,6,3,7,5,1,8,2] => 0101101 => 1011010 => 0100101
[4,2,6,1,7,5,3,8] => 1010110 => 0110101 => 1001010
[2,5,7,4,1,6,3,8] => 0011010 => 0101100 => 1010011
[2,5,7,4,1,6,8,3] => 0011001 => 1001100 => 0110011
[5,4,7,3,6,1,8,2] => 1010101 => 1010101 => 0101010
[5,4,7,8,3,1,6,2] => 1001101 => 1011001 => 0100110
[4,3,7,5,1,8,6,2] => 1011011 => 1101101 => 0010010
[6,4,3,8,5,1,7,2] => 1101101 => 1011011 => 0100100
[5,8,4,3,6,1,7,2] => 0110101 => 1010110 => 0101001
[5,4,8,3,6,1,7,2] => 1010101 => 1010101 => 0101010
[5,4,3,6,7,1,8,2] => 1100101 => 1010011 => 0101100
[2,5,4,6,1,7,3,8] => 0101010 => 0101010 => 1010101
[3,2,5,8,1,6,7,4] => 1001001 => 1001001 => 0110110
[2,5,4,6,8,1,7,3] => 0100101 => 1010010 => 0101101
[5,2,8,4,1,6,7,3] => 1011001 => 1001101 => 0110010
[4,6,2,1,8,5,7,3] => 0110101 => 1010110 => 0101001
[2,4,1,7,5,8,6,3] => 0101011 => 1101010 => 0010101
[2,4,1,7,5,3,8,6] => 0101101 => 1011010 => 0100101
[2,6,4,1,8,5,3,7] => 0110110 => 0110110 => 1001001
[5,4,8,2,1,6,3,7] => 1011010 => 0101101 => 1010010
[2,5,8,4,1,6,3,7] => 0011010 => 0101100 => 1010011
[3,2,5,6,1,8,4,7] => 1001010 => 0101001 => 1010110
[4,8,3,2,6,1,5,7] => 0110100 => 0010110 => 1101001
[3,5,2,8,1,6,4,7] => 0101010 => 0101010 => 1010101
[3,2,1,6,8,5,4,7] => 1100110 => 0110011 => 1001100
[3,2,7,1,5,4,8,6] => 1010101 => 1010101 => 0101010
[3,2,7,1,5,8,6,4] => 1010011 => 1100101 => 0011010
[3,8,2,5,1,6,7,4] => 0101001 => 1001010 => 0110101
[4,8,3,2,6,7,1,5] => 0110010 => 0100110 => 1011001
[4,3,8,2,6,7,1,5] => 1010010 => 0100101 => 1011010
[4,3,2,6,7,8,1,5] => 1100010 => 0100011 => 1011100
[4,3,2,6,7,1,5,8] => 1100100 => 0010011 => 1101100
[4,3,7,2,6,8,1,5] => 1010010 => 0100101 => 1011010
[4,3,7,8,2,6,1,5] => 1001010 => 0101001 => 1010110
[2,5,7,4,8,1,6,3] => 0010101 => 1010100 => 0101011
[3,2,5,7,8,1,6,4] => 1000101 => 1010001 => 0101110
[3,2,5,7,1,6,8,4] => 1001001 => 1001001 => 0110110
[3,2,5,7,1,6,4,8] => 1001010 => 0101001 => 1010110
[6,3,2,7,1,5,4,8] => 1101010 => 0101011 => 1010100
[6,3,2,7,1,5,8,4] => 1101001 => 1001011 => 0110100
[6,3,2,7,8,1,5,4] => 1100101 => 1010011 => 0101100
[4,2,6,1,7,8,5,3] => 1010011 => 1100101 => 0011010
[6,5,2,1,7,8,4,3] => 1110011 => 1100111 => 0011000
[2,1,7,5,3,8,6,4] => 1011011 => 1101101 => 0010010
[6,2,1,8,5,3,7,4] => 1101101 => 1011011 => 0100100
[6,3,2,7,1,4,8,5] => 1101001 => 1001011 => 0110100
[6,3,2,1,4,7,8,5] => 1110001 => 1000111 => 0111000
[6,3,2,1,4,7,5,8] => 1110010 => 0100111 => 1011000
[3,5,2,1,7,4,6,8] => 0110100 => 0010110 => 1101001
[3,5,2,1,7,8,4,6] => 0110010 => 0100110 => 1011001
[5,8,4,2,1,7,3,6] => 0111010 => 0101110 => 1010001
[4,6,2,1,8,3,7,5] => 0110101 => 1010110 => 0101001
[2,4,1,7,3,8,6,5] => 0101011 => 1101010 => 0010101
[3,2,7,1,4,8,6,5] => 1010011 => 1100101 => 0011010
[3,5,8,2,1,7,4,6] => 0011010 => 0101100 => 1010011
[4,8,3,7,2,1,5,6] => 0101100 => 0011010 => 1100101
[4,3,7,2,8,1,5,6] => 1010100 => 0010101 => 1101010
[4,3,7,2,1,5,6,8] => 1011000 => 0001101 => 1110010
[4,8,3,2,7,1,5,6] => 0110100 => 0010110 => 1101001
[3,5,2,8,1,7,4,6] => 0101010 => 0101010 => 1010101
[6,3,2,8,1,4,7,5] => 1101001 => 1001011 => 0110100
[3,2,1,4,7,5,8,6] => 1100101 => 1010011 => 0101100
[5,3,2,1,8,4,6,7] => 1110100 => 0010111 => 1101000
[4,8,3,2,1,5,6,7] => 0111000 => 0001110 => 1110001
[4,3,8,2,1,5,6,7] => 1011000 => 0001101 => 1110010
[1,9,8,7,6,5,4,3,2] => 01111111 => 11111110 => 00000001
[8,7,6,4,5,3,2,1,9] => 11101110 => 01110111 => 10001000
[1,9,8,7,5,6,4,3,2] => 01110111 => 11101110 => 00010001
[1,10,9,8,7,6,5,4,3,2] => 011111111 => 111111110 => 000000001
[10,9,8,7,6,5,4,3,2,1,11] => 1111111110 => 0111111111 => 1000000000
[9,8,7,5,6,4,3,2,1,10] => 111011110 => 011110111 => 100001000
[8,7,5,4,6,3,2,1,9] => 11101110 => 01110111 => 10001000
[8,7,4,6,5,3,2,1,9] => 11011110 => 01111011 => 10000100
[1,9,8,6,5,7,4,3,2] => 01110111 => 11101110 => 00010001
[1,9,8,5,7,6,4,3,2] => 01101111 => 11110110 => 00001001
[1,10,9,8,6,7,5,4,3,2] => 011101111 => 111101110 => 000010001
[1,11,10,9,8,7,6,5,4,3,2] => 0111111111 => 1111111110 => 0000000001
[6,2,3,1,5,4,8,7] => 1010101 => 1010101 => 0101010
[8,4,5,2,3,1,7,6] => 1010101 => 1010101 => 0101010
[8,6,7,2,5,3,4,1] => 1010101 => 1010101 => 0101010
[8,2,5,3,4,1,7,6] => 1010101 => 1010101 => 0101010
[6,2,5,3,4,1,8,7] => 1010101 => 1010101 => 0101010
[6,1,5,2,4,3,8,7] => 1010101 => 1010101 => 0101010
[6,4,5,1,3,2,8,7] => 1010101 => 1010101 => 0101010
[6,1,5,3,4,2,8,7] => 1010101 => 1010101 => 0101010
[6,3,5,1,4,2,8,7] => 1010101 => 1010101 => 0101010
[8,3,5,2,4,1,7,6] => 1010101 => 1010101 => 0101010
[8,3,7,5,6,2,4,1] => 1010101 => 1010101 => 0101010
[8,3,7,2,4,1,6,5] => 1010101 => 1010101 => 0101010
[8,3,5,1,4,2,7,6] => 1010101 => 1010101 => 0101010
[8,1,5,3,4,2,7,6] => 1010101 => 1010101 => 0101010
[8,4,5,1,3,2,7,6] => 1010101 => 1010101 => 0101010
[2,1,8,4,5,3,7,6] => 1010101 => 1010101 => 0101010
[8,6,7,4,5,1,3,2] => 1010101 => 1010101 => 0101010
[8,6,7,1,5,3,4,2] => 1010101 => 1010101 => 0101010
[8,6,7,3,5,1,4,2] => 1010101 => 1010101 => 0101010
[8,3,7,5,6,1,4,2] => 1010101 => 1010101 => 0101010
[8,5,7,3,6,1,4,2] => 1010101 => 1010101 => 0101010
[8,3,7,4,6,2,5,1] => 1010101 => 1010101 => 0101010
[8,3,7,4,6,1,5,2] => 1010101 => 1010101 => 0101010
[8,3,7,1,6,4,5,2] => 1010101 => 1010101 => 0101010
[8,1,7,3,6,4,5,2] => 1010101 => 1010101 => 0101010
[8,1,7,5,6,3,4,2] => 1010101 => 1010101 => 0101010
[8,4,7,5,6,1,3,2] => 1010101 => 1010101 => 0101010
[2,1,8,4,7,5,6,3] => 1010101 => 1010101 => 0101010
[8,1,7,3,4,2,6,5] => 1010101 => 1010101 => 0101010
[8,1,7,3,6,2,5,4] => 1010101 => 1010101 => 0101010
[8,3,7,1,6,2,5,4] => 1010101 => 1010101 => 0101010
[8,3,7,2,6,4,5,1] => 1010101 => 1010101 => 0101010
[8,2,7,3,6,4,5,1] => 1010101 => 1010101 => 0101010
[8,2,7,3,6,1,5,4] => 1010101 => 1010101 => 0101010
[8,2,7,1,6,3,5,4] => 1010101 => 1010101 => 0101010
[8,1,7,2,4,3,6,5] => 1010101 => 1010101 => 0101010
[8,1,3,2,7,4,6,5] => 1010101 => 1010101 => 0101010
[2,1,8,3,7,4,6,5] => 1010101 => 1010101 => 0101010
[8,1,5,2,4,3,7,6] => 1010101 => 1010101 => 0101010
[8,2,7,1,4,3,6,5] => 1010101 => 1010101 => 0101010
[8,2,7,3,4,1,6,5] => 1010101 => 1010101 => 0101010
[8,2,7,5,6,3,4,1] => 1010101 => 1010101 => 0101010
[8,4,7,5,6,2,3,1] => 1010101 => 1010101 => 0101010
[8,4,7,2,3,1,6,5] => 1010101 => 1010101 => 0101010
[8,2,3,1,7,4,6,5] => 1010101 => 1010101 => 0101010
[8,2,3,1,5,4,7,6] => 1010101 => 1010101 => 0101010
[4,2,3,1,8,5,7,6] => 1010101 => 1010101 => 0101010
[4,1,3,2,8,6,7,5] => 1010101 => 1010101 => 0101010
[8,6,7,2,3,1,5,4] => 1010101 => 1010101 => 0101010
[8,2,3,1,7,5,6,4] => 1010101 => 1010101 => 0101010
[8,5,7,2,6,3,4,1] => 1010101 => 1010101 => 0101010
[8,5,7,2,6,1,4,3] => 1010101 => 1010101 => 0101010
[8,2,7,5,6,1,4,3] => 1010101 => 1010101 => 0101010
[8,6,7,2,5,1,4,3] => 1010101 => 1010101 => 0101010
[8,6,7,1,5,2,4,3] => 1010101 => 1010101 => 0101010
[8,6,7,1,3,2,5,4] => 1010101 => 1010101 => 0101010
[2,1,8,6,7,3,5,4] => 1010101 => 1010101 => 0101010
[2,1,8,3,7,5,6,4] => 1010101 => 1010101 => 0101010
[8,1,3,2,7,5,6,4] => 1010101 => 1010101 => 0101010
[8,1,7,5,6,2,4,3] => 1010101 => 1010101 => 0101010
[8,1,7,2,6,4,5,3] => 1010101 => 1010101 => 0101010
[8,2,7,1,6,4,5,3] => 1010101 => 1010101 => 0101010
[8,2,7,4,6,1,5,3] => 1010101 => 1010101 => 0101010
[8,2,7,4,6,3,5,1] => 1010101 => 1010101 => 0101010
[8,4,7,2,6,3,5,1] => 1010101 => 1010101 => 0101010
[8,4,7,2,6,1,5,3] => 1010101 => 1010101 => 0101010
[8,4,7,1,6,2,5,3] => 1010101 => 1010101 => 0101010
[8,1,7,4,6,2,5,3] => 1010101 => 1010101 => 0101010
[8,5,7,1,6,2,4,3] => 1010101 => 1010101 => 0101010
[2,1,8,5,7,3,6,4] => 1010101 => 1010101 => 0101010
[8,5,7,4,6,1,3,2] => 1010101 => 1010101 => 0101010
[8,5,7,1,6,3,4,2] => 1010101 => 1010101 => 0101010
[8,1,7,4,6,3,5,2] => 1010101 => 1010101 => 0101010
[8,4,7,1,6,3,5,2] => 1010101 => 1010101 => 0101010
[8,4,7,3,6,1,5,2] => 1010101 => 1010101 => 0101010
[2,4,8,3,6,1,7,5] => 0010101 => 1010100 => 0101011
[6,5,8,1,3,2,7,4] => 1010101 => 1010101 => 0101010
[4,5,8,6,3,2,7,1] => 0011101 => 1011100 => 0100011
[6,5,8,7,3,1,2,4] => 1011100 => 0011101 => 1100010
[1,5,8,7,3,6,2,4] => 0011010 => 0101100 => 1010011
[1,7,2,8,4,6,5,3] => 0101011 => 1101010 => 0010101
[6,7,2,8,4,1,5,3] => 0101101 => 1011010 => 0100101
[3,6,2,8,4,5,7,1] => 0101001 => 1001010 => 0110101
[2,6,1,8,4,5,7,3] => 0101001 => 1001010 => 0110101
[2,8,4,6,1,5,7,3] => 0101001 => 1001010 => 0110101
[6,3,1,8,4,5,7,2] => 1101001 => 1001011 => 0110100
[3,1,6,8,4,5,7,2] => 1001001 => 1001001 => 0110110
[2,3,6,8,4,5,7,1] => 0001001 => 1001000 => 0110111
[6,3,7,8,4,1,5,2] => 1001101 => 1011001 => 0100110
[1,3,7,8,4,6,5,2] => 0001011 => 1101000 => 0010111
[1,5,7,8,2,4,6,3] => 0001001 => 1001000 => 0110111
[5,1,7,8,2,4,6,3] => 1001001 => 1001001 => 0110110
[3,6,7,8,4,2,5,1] => 0001101 => 1011000 => 0100111
[7,6,1,8,4,2,5,3] => 1101101 => 1011011 => 0100100
[5,6,8,7,3,2,1,4] => 0011110 => 0111100 => 1000011
[2,8,3,7,1,6,5,4] => 0101011 => 1101010 => 0010101
[5,2,8,7,3,6,1,4] => 1011010 => 0101101 => 1010010
[7,2,1,8,4,6,5,3] => 1101011 => 1101011 => 0010100
[3,2,7,8,4,6,5,1] => 1001011 => 1101001 => 0010110
[5,2,7,8,1,4,6,3] => 1001001 => 1001001 => 0110110
[1,2,7,8,5,4,6,3] => 0001101 => 1011000 => 0100111
[4,2,1,3,8,5,6,7] => 1100100 => 0010011 => 1101100
[7,2,5,8,3,4,6,1] => 1001001 => 1001001 => 0110110
[6,2,8,5,4,3,1,7] => 1011110 => 0111101 => 1000010
[2,8,3,5,4,1,6,7] => 0101100 => 0011010 => 1100101
[2,8,4,5,3,1,6,7] => 0101100 => 0011010 => 1100101
[6,4,8,5,2,3,1,7] => 1011010 => 0101101 => 1010010
[7,3,5,8,2,4,6,1] => 1001001 => 1001001 => 0110110
[4,3,1,2,8,5,6,7] => 1100100 => 0010011 => 1101100
[3,4,2,1,8,5,6,7] => 0110100 => 0010110 => 1101001
[2,7,6,8,4,3,5,1] => 0101101 => 1011010 => 0100101
[5,7,1,8,3,4,6,2] => 0101001 => 1001010 => 0110101
[3,7,5,8,1,4,6,2] => 0101001 => 1001010 => 0110101
[1,7,5,8,3,4,6,2] => 0101001 => 1001010 => 0110101
[1,6,8,5,4,3,2,7] => 0011110 => 0111100 => 1000011
[4,6,8,5,1,3,2,7] => 0011010 => 0101100 => 1010011
[5,6,8,1,4,3,2,7] => 0010110 => 0110100 => 1001011
[7,5,8,6,3,4,2,1] => 1011011 => 1101101 => 0010010
[2,4,8,3,6,5,1,7] => 0010110 => 0110100 => 1001011
[2,8,4,1,5,6,3,7] => 0110010 => 0100110 => 1011001
[4,1,8,3,5,6,2,7] => 1010010 => 0100101 => 1011010
[5,6,8,4,1,3,2,7] => 0011010 => 0101100 => 1010011
[4,6,8,1,5,3,2,7] => 0010110 => 0110100 => 1001011
[1,6,8,4,5,3,2,7] => 0010110 => 0110100 => 1001011
[1,7,3,8,5,4,6,2] => 0101101 => 1011010 => 0100101
[3,7,1,8,5,4,6,2] => 0101101 => 1011010 => 0100101
[2,7,3,8,4,6,5,1] => 0101011 => 1101010 => 0010101
[7,1,3,8,4,6,5,2] => 1001011 => 1101001 => 0010110
[5,7,8,4,3,6,1,2] => 0011010 => 0101100 => 1010011
[2,8,7,4,1,6,5,3] => 0111011 => 1101110 => 0010001
[2,8,5,4,3,1,6,7] => 0111100 => 0011110 => 1100001
[6,5,8,4,2,3,1,7] => 1011010 => 0101101 => 1010010
[4,1,3,2,8,5,6,7] => 1010100 => 0010101 => 1101010
[1,4,3,2,8,5,6,7] => 0110100 => 0010110 => 1101001
[7,3,2,8,5,4,6,1] => 1101101 => 1011011 => 0100100
[6,4,8,2,5,3,1,7] => 1010110 => 0110101 => 1001010
[2,8,4,3,5,1,6,7] => 0110100 => 0010110 => 1101001
[2,8,3,4,5,1,6,7] => 0100100 => 0010010 => 1101101
[6,2,8,4,5,3,1,7] => 1010110 => 0110101 => 1001010
[7,2,3,8,5,4,6,1] => 1001101 => 1011001 => 0100110
[4,2,3,1,8,5,6,7] => 1010100 => 0010101 => 1101010
[3,2,1,4,8,5,6,7] => 1100100 => 0010011 => 1101100
[5,1,3,2,4,8,6,7] => 1010010 => 0100101 => 1011010
[2,8,1,5,3,4,7,6] => 0101001 => 1001010 => 0110101
[1,2,8,4,5,3,7,6] => 0010101 => 1010100 => 0101011
[1,4,2,8,5,3,6,7] => 0101100 => 0011010 => 1100101
[1,8,4,2,5,3,6,7] => 0110100 => 0010110 => 1101001
[8,1,5,3,2,4,6,7] => 1011000 => 0001101 => 1110010
[3,8,1,5,2,4,6,7] => 0101000 => 0001010 => 1110101
[3,5,1,4,8,2,6,7] => 0100100 => 0010010 => 1101101
[1,5,2,8,4,3,6,7] => 0101100 => 0011010 => 1100101
[1,2,8,5,4,3,6,7] => 0011100 => 0011100 => 1100011
[1,2,5,4,3,8,6,7] => 0011010 => 0101100 => 1010011
[1,2,4,8,5,3,7,6] => 0001101 => 1011000 => 0100111
[1,2,7,4,8,5,3,6] => 0010110 => 0110100 => 1001011
[1,5,2,7,8,4,3,6] => 0100110 => 0110010 => 1001101
[5,1,2,7,4,8,3,6] => 1001010 => 0101001 => 1010110
[8,3,5,1,4,7,2,6] => 1010010 => 0100101 => 1011010
[2,8,1,5,4,7,3,6] => 0101010 => 0101010 => 1010101
[1,2,8,5,7,4,3,6] => 0010110 => 0110100 => 1001011
[1,2,4,8,7,5,3,6] => 0001110 => 0111000 => 1000111
[2,8,1,4,3,7,6,5] => 0101011 => 1101010 => 0010101
[6,1,2,8,7,4,3,5] => 1001110 => 0111001 => 1000110
[6,4,1,2,8,7,3,5] => 1100110 => 0110011 => 1001100
[3,6,4,8,1,7,2,5] => 0101010 => 0101010 => 1010101
[7,6,1,4,2,8,3,5] => 1101010 => 0101011 => 1010100
[7,1,6,2,8,4,3,5] => 1010110 => 0110101 => 1001010
[1,6,7,2,8,4,3,5] => 0010110 => 0110100 => 1001011
[6,7,1,4,2,8,3,5] => 0101010 => 0101010 => 1010101
[6,3,7,1,4,8,2,5] => 1010010 => 0100101 => 1011010
[3,7,8,1,5,2,4,6] => 0010100 => 0010100 => 1101011
[7,1,2,8,5,3,4,6] => 1001100 => 0011001 => 1100110
[1,7,2,8,4,5,3,6] => 0101010 => 0101010 => 1010101
[1,4,2,7,8,5,3,6] => 0100110 => 0110010 => 1001101
[6,1,2,8,4,3,7,5] => 1001101 => 1011001 => 0100110
[6,4,1,2,8,3,7,5] => 1100101 => 1010011 => 0101100
[7,6,1,3,2,4,8,5] => 1101001 => 1001011 => 0110100
[6,7,1,3,2,4,8,5] => 0101001 => 1001010 => 0110101
[1,2,7,3,5,8,4,6] => 0010010 => 0100100 => 1011011
[1,2,7,5,8,3,4,6] => 0010100 => 0010100 => 1101011
[5,8,1,3,7,2,4,6] => 0100100 => 0010010 => 1101101
[1,2,5,8,7,3,4,6] => 0001100 => 0011000 => 1100111
[1,2,5,8,3,7,4,6] => 0001010 => 0101000 => 1010111
[2,8,1,7,3,5,4,6] => 0101010 => 0101010 => 1010101
[8,6,1,3,2,4,7,5] => 1101001 => 1001011 => 0110100
[4,2,8,1,7,3,6,5] => 1010101 => 1010101 => 0101010
[2,8,1,7,4,3,6,5] => 0101101 => 1011010 => 0100101
[7,1,2,8,4,3,6,5] => 1001101 => 1011001 => 0100110
[1,2,8,4,7,5,3,6] => 0010110 => 0110100 => 1001011
[1,2,8,7,4,5,3,6] => 0011010 => 0101100 => 1010011
[2,8,1,7,5,3,4,6] => 0101100 => 0011010 => 1100101
[8,3,7,1,5,2,4,6] => 1010100 => 0010101 => 1101010
[3,8,6,1,4,7,2,5] => 0110010 => 0100110 => 1011001
[8,6,1,4,2,7,3,5] => 1101010 => 0101011 => 1010100
[8,1,6,2,7,4,3,5] => 1010110 => 0110101 => 1001010
[7,1,2,8,6,4,3,5] => 1001110 => 0111001 => 1000110
[7,4,1,2,8,6,3,5] => 1100110 => 0110011 => 1001100
[3,7,4,8,1,6,2,5] => 0101010 => 0101010 => 1010101
[3,4,8,7,1,6,2,5] => 0011010 => 0101100 => 1010011
[4,2,8,1,7,6,3,5] => 1010110 => 0110101 => 1001010
[2,8,1,7,6,4,3,5] => 0101110 => 0111010 => 1000101
[7,8,3,4,1,5,2,6] => 0101010 => 0101010 => 1010101
[7,8,3,4,1,6,2,5] => 0101010 => 0101010 => 1010101
[6,8,3,4,1,7,2,5] => 0101010 => 0101010 => 1010101
[6,7,3,4,1,8,2,5] => 0101010 => 0101010 => 1010101
[5,7,3,4,1,8,2,6] => 0101010 => 0101010 => 1010101
[5,8,3,4,1,7,2,6] => 0101010 => 0101010 => 1010101
[5,8,3,4,1,6,2,7] => 0101010 => 0101010 => 1010101
[6,8,3,4,1,5,2,7] => 0101010 => 0101010 => 1010101
[6,7,3,4,1,5,2,8] => 0101010 => 0101010 => 1010101
[5,7,3,4,1,6,2,8] => 0101010 => 0101010 => 1010101
[5,6,2,8,3,4,1,7] => 0101010 => 0101010 => 1010101
[5,6,2,7,3,4,1,8] => 0101010 => 0101010 => 1010101
[4,6,2,8,3,5,1,7] => 0101010 => 0101010 => 1010101
[4,7,3,5,1,6,2,8] => 0101010 => 0101010 => 1010101
[4,8,3,5,1,6,2,7] => 0101010 => 0101010 => 1010101
[4,8,3,5,1,7,2,6] => 0101010 => 0101010 => 1010101
[4,7,3,5,1,8,2,6] => 0101010 => 0101010 => 1010101
[5,6,2,3,1,7,4,8] => 0101010 => 0101010 => 1010101
[5,6,2,4,1,8,3,7] => 0101010 => 0101010 => 1010101
[5,6,2,4,1,7,3,8] => 0101010 => 0101010 => 1010101
[4,6,2,5,1,7,3,8] => 0101010 => 0101010 => 1010101
[4,6,2,5,1,8,3,7] => 0101010 => 0101010 => 1010101
[4,5,1,8,3,7,2,6] => 0101010 => 0101010 => 1010101
[4,5,1,7,3,8,2,6] => 0101010 => 0101010 => 1010101
[4,6,2,7,3,8,1,5] => 0101010 => 0101010 => 1010101
[5,6,2,7,3,8,1,4] => 0101010 => 0101010 => 1010101
[5,6,2,7,4,8,1,3] => 0101010 => 0101010 => 1010101
[5,6,3,8,4,7,1,2] => 0101010 => 0101010 => 1010101
[5,6,2,8,4,7,1,3] => 0101010 => 0101010 => 1010101
[5,6,2,8,3,7,1,4] => 0101010 => 0101010 => 1010101
[4,6,2,8,3,7,1,5] => 0101010 => 0101010 => 1010101
[4,5,1,7,3,6,2,8] => 0101010 => 0101010 => 1010101
[4,5,1,8,3,6,2,7] => 0101010 => 0101010 => 1010101
[9,2,1,3,4,5,6,7,8] => 11000000 => 00000011 => 11111100
[10,2,1,3,4,5,6,7,8,9] => 110000000 => 000000011 => 111111100
[9,2,3,1,4,5,6,7,8] => 10100000 => 00000101 => 11111010
[4,2,3,5,6,7,8,9,1] => 10000001 => 10000001 => 01111110
[3,4,2,5,6,7,8,9,1] => 01000001 => 10000010 => 01111101
[3,2,4,5,6,7,8,9,10,1] => 100000001 => 100000001 => 011111110
[2,3,4,5,6,7,8,9,10,11,1] => 0000000001 => 1000000000 => 0111111111
[6,5,3,2,1,4,8,7] => 1111001 => 1001111 => 0110000
[4,6,3,5,2,1,8,7] => 0101101 => 1011010 => 0100101
[8,7,3,5,2,4,1,6] => 1101010 => 0101011 => 1010100
[6,8,2,4,5,7,3,1] => 0100011 => 1100010 => 0011101
[8,7,2,4,5,3,1,6] => 1100110 => 0110011 => 1001100
[3,6,1,4,5,2,8,7] => 0100101 => 1010010 => 0101101
[8,3,7,4,5,2,1,6] => 1010110 => 0110101 => 1001010
[6,3,8,4,5,7,2,1] => 1010011 => 1100101 => 0011010
[5,8,7,4,3,6,2,1] => 0111011 => 1101110 => 0010001
[2,8,7,4,3,6,1,5] => 0111010 => 0101110 => 1010001
[8,1,7,4,3,6,2,5] => 1011010 => 0101101 => 1010010
[8,7,3,5,1,4,2,6] => 1101010 => 0101011 => 1010100
[2,1,6,8,5,7,4,3] => 1001011 => 1101001 => 0010110
[6,8,3,5,1,7,4,2] => 0101011 => 1101010 => 0010101
[5,1,8,4,7,6,3,2] => 1010111 => 1110101 => 0001010
[2,5,8,4,7,6,3,1] => 0010111 => 1110100 => 0001011
[4,3,8,1,5,6,7,2] => 1010001 => 1000101 => 0111010
[4,8,1,3,5,6,7,2] => 0100001 => 1000010 => 0111101
[5,8,7,4,1,6,3,2] => 0111011 => 1101110 => 0010001
[5,8,3,6,1,4,7,2] => 0101001 => 1001010 => 0110101
[4,8,3,6,1,2,7,5] => 0101001 => 1001010 => 0110101
[3,8,7,4,1,6,2,5] => 0111010 => 0101110 => 1010001
[3,8,1,2,5,6,7,4] => 0100001 => 1000010 => 0111101
[8,7,1,4,2,6,3,5] => 1101010 => 0101011 => 1010100
[8,6,3,1,2,4,7,5] => 1110001 => 1000111 => 0111000
[8,1,7,4,5,2,3,6] => 1010100 => 0010101 => 1101010
[2,8,7,4,5,1,3,6] => 0110100 => 0010110 => 1101001
[8,7,2,4,1,6,3,5] => 1101010 => 0101011 => 1010100
[5,8,3,6,2,4,7,1] => 0101001 => 1001010 => 0110101
[8,6,3,2,1,4,7,5] => 1111001 => 1001111 => 0110000
[8,7,3,5,2,1,4,6] => 1101100 => 0011011 => 1100100
[5,8,3,6,2,1,7,4] => 0101101 => 1011010 => 0100101
[5,8,7,4,2,6,1,3] => 0111010 => 0101110 => 1010001
[2,6,8,4,5,7,1,3] => 0010010 => 0100100 => 1011011
[6,1,8,4,5,7,2,3] => 1010010 => 0100101 => 1011010
[6,8,3,5,1,7,2,4] => 0101010 => 0101010 => 1010101
[2,1,5,8,3,6,7,4] => 1001001 => 1001001 => 0110110
[5,8,3,6,1,2,7,4] => 0101001 => 1001010 => 0110101
[4,1,8,2,5,6,7,3] => 1010001 => 1000101 => 0111010
[2,4,8,1,5,6,7,3] => 0010001 => 1000100 => 0111011
[4,8,2,1,5,6,7,3] => 0110001 => 1000110 => 0111001
[3,4,8,2,5,6,7,1] => 0010001 => 1000100 => 0111011
[5,8,1,4,7,6,2,3] => 0100110 => 0110010 => 1001101
[5,8,3,1,6,2,7,4] => 0110101 => 1010110 => 0101001
[4,5,3,8,6,1,7,2] => 0101101 => 1011010 => 0100101
[3,4,1,8,5,6,7,2] => 0101001 => 1001010 => 0110101
[2,4,6,8,10,1,3,5,7,9] => 000010000 => 000010000 => 111101111
[2,4,6,9,10,1,3,5,7,8] => 000010000 => 000010000 => 111101111
[2,4,7,8,10,1,3,5,6,9] => 000010000 => 000010000 => 111101111
[2,4,7,9,10,1,3,5,6,8] => 000010000 => 000010000 => 111101111
[2,4,8,9,10,1,3,5,6,7] => 000010000 => 000010000 => 111101111
[2,5,6,8,10,1,3,4,7,9] => 000010000 => 000010000 => 111101111
[2,5,6,9,10,1,3,4,7,8] => 000010000 => 000010000 => 111101111
[2,5,7,8,10,1,3,4,6,9] => 000010000 => 000010000 => 111101111
[2,5,7,9,10,1,3,4,6,8] => 000010000 => 000010000 => 111101111
[2,5,8,9,10,1,3,4,6,7] => 000010000 => 000010000 => 111101111
[2,6,7,8,10,1,3,4,5,9] => 000010000 => 000010000 => 111101111
[2,6,7,9,10,1,3,4,5,8] => 000010000 => 000010000 => 111101111
[2,6,8,9,10,1,3,4,5,7] => 000010000 => 000010000 => 111101111
[2,7,8,9,10,1,3,4,5,6] => 000010000 => 000010000 => 111101111
[3,4,6,8,10,1,2,5,7,9] => 000010000 => 000010000 => 111101111
[3,4,6,9,10,1,2,5,7,8] => 000010000 => 000010000 => 111101111
[3,4,7,8,10,1,2,5,6,9] => 000010000 => 000010000 => 111101111
[3,4,7,9,10,1,2,5,6,8] => 000010000 => 000010000 => 111101111
[3,4,8,9,10,1,2,5,6,7] => 000010000 => 000010000 => 111101111
[3,5,6,8,10,1,2,4,7,9] => 000010000 => 000010000 => 111101111
[3,5,6,9,10,1,2,4,7,8] => 000010000 => 000010000 => 111101111
[3,5,7,8,10,1,2,4,6,9] => 000010000 => 000010000 => 111101111
[3,5,7,9,10,1,2,4,6,8] => 000010000 => 000010000 => 111101111
[3,5,8,9,10,1,2,4,6,7] => 000010000 => 000010000 => 111101111
[3,6,7,8,10,1,2,4,5,9] => 000010000 => 000010000 => 111101111
[3,6,7,9,10,1,2,4,5,8] => 000010000 => 000010000 => 111101111
[3,6,8,9,10,1,2,4,5,7] => 000010000 => 000010000 => 111101111
[3,7,8,9,10,1,2,4,5,6] => 000010000 => 000010000 => 111101111
[4,5,6,8,10,1,2,3,7,9] => 000010000 => 000010000 => 111101111
[4,5,6,9,10,1,2,3,7,8] => 000010000 => 000010000 => 111101111
[4,5,7,8,10,1,2,3,6,9] => 000010000 => 000010000 => 111101111
[4,5,7,9,10,1,2,3,6,8] => 000010000 => 000010000 => 111101111
[4,5,8,9,10,1,2,3,6,7] => 000010000 => 000010000 => 111101111
[4,6,7,8,10,1,2,3,5,9] => 000010000 => 000010000 => 111101111
[4,6,7,9,10,1,2,3,5,8] => 000010000 => 000010000 => 111101111
[4,6,8,9,10,1,2,3,5,7] => 000010000 => 000010000 => 111101111
[4,7,8,9,10,1,2,3,5,6] => 000010000 => 000010000 => 111101111
[5,6,7,8,10,1,2,3,4,9] => 000010000 => 000010000 => 111101111
[5,6,7,9,10,1,2,3,4,8] => 000010000 => 000010000 => 111101111
[5,6,8,9,10,1,2,3,4,7] => 000010000 => 000010000 => 111101111
[5,7,8,9,10,1,2,3,4,6] => 000010000 => 000010000 => 111101111
[2,4,6,8,10,12,1,3,5,7,9,11] => 00000100000 => 00000100000 => 11111011111
[2,4,6,8,11,12,1,3,5,7,9,10] => 00000100000 => 00000100000 => 11111011111
[2,4,6,9,10,12,1,3,5,7,8,11] => 00000100000 => 00000100000 => 11111011111
[2,4,6,9,11,12,1,3,5,7,8,10] => 00000100000 => 00000100000 => 11111011111
[2,4,6,10,11,12,1,3,5,7,8,9] => 00000100000 => 00000100000 => 11111011111
[2,4,7,8,10,12,1,3,5,6,9,11] => 00000100000 => 00000100000 => 11111011111
[2,4,7,8,11,12,1,3,5,6,9,10] => 00000100000 => 00000100000 => 11111011111
[2,4,7,9,10,12,1,3,5,6,8,11] => 00000100000 => 00000100000 => 11111011111
[2,4,7,9,11,12,1,3,5,6,8,10] => 00000100000 => 00000100000 => 11111011111
[2,4,7,10,11,12,1,3,5,6,8,9] => 00000100000 => 00000100000 => 11111011111
[2,4,8,9,10,12,1,3,5,6,7,11] => 00000100000 => 00000100000 => 11111011111
[2,4,8,9,11,12,1,3,5,6,7,10] => 00000100000 => 00000100000 => 11111011111
[2,4,8,10,11,12,1,3,5,6,7,9] => 00000100000 => 00000100000 => 11111011111
[2,4,9,10,11,12,1,3,5,6,7,8] => 00000100000 => 00000100000 => 11111011111
[2,5,6,8,10,12,1,3,4,7,9,11] => 00000100000 => 00000100000 => 11111011111
[2,5,6,8,11,12,1,3,4,7,9,10] => 00000100000 => 00000100000 => 11111011111
[2,5,6,9,10,12,1,3,4,7,8,11] => 00000100000 => 00000100000 => 11111011111
[2,5,6,9,11,12,1,3,4,7,8,10] => 00000100000 => 00000100000 => 11111011111
[2,5,6,10,11,12,1,3,4,7,8,9] => 00000100000 => 00000100000 => 11111011111
[2,5,7,8,10,12,1,3,4,6,9,11] => 00000100000 => 00000100000 => 11111011111
[2,5,7,8,11,12,1,3,4,6,9,10] => 00000100000 => 00000100000 => 11111011111
[2,5,7,9,10,12,1,3,4,6,8,11] => 00000100000 => 00000100000 => 11111011111
[2,5,7,9,11,12,1,3,4,6,8,10] => 00000100000 => 00000100000 => 11111011111
[2,5,7,10,11,12,1,3,4,6,8,9] => 00000100000 => 00000100000 => 11111011111
[2,5,8,9,10,12,1,3,4,6,7,11] => 00000100000 => 00000100000 => 11111011111
[2,5,8,9,11,12,1,3,4,6,7,10] => 00000100000 => 00000100000 => 11111011111
[2,5,8,10,11,12,1,3,4,6,7,9] => 00000100000 => 00000100000 => 11111011111
[2,5,9,10,11,12,1,3,4,6,7,8] => 00000100000 => 00000100000 => 11111011111
[2,6,7,8,10,12,1,3,4,5,9,11] => 00000100000 => 00000100000 => 11111011111
[2,6,7,8,11,12,1,3,4,5,9,10] => 00000100000 => 00000100000 => 11111011111
[2,6,7,9,10,12,1,3,4,5,8,11] => 00000100000 => 00000100000 => 11111011111
[2,6,7,9,11,12,1,3,4,5,8,10] => 00000100000 => 00000100000 => 11111011111
[2,6,7,10,11,12,1,3,4,5,8,9] => 00000100000 => 00000100000 => 11111011111
[2,6,8,9,10,12,1,3,4,5,7,11] => 00000100000 => 00000100000 => 11111011111
[2,6,8,9,11,12,1,3,4,5,7,10] => 00000100000 => 00000100000 => 11111011111
[2,6,8,10,11,12,1,3,4,5,7,9] => 00000100000 => 00000100000 => 11111011111
[2,6,9,10,11,12,1,3,4,5,7,8] => 00000100000 => 00000100000 => 11111011111
[2,7,8,9,10,12,1,3,4,5,6,11] => 00000100000 => 00000100000 => 11111011111
[2,7,8,9,11,12,1,3,4,5,6,10] => 00000100000 => 00000100000 => 11111011111
[2,7,8,10,11,12,1,3,4,5,6,9] => 00000100000 => 00000100000 => 11111011111
[2,7,9,10,11,12,1,3,4,5,6,8] => 00000100000 => 00000100000 => 11111011111
[2,8,9,10,11,12,1,3,4,5,6,7] => 00000100000 => 00000100000 => 11111011111
[3,4,6,8,10,12,1,2,5,7,9,11] => 00000100000 => 00000100000 => 11111011111
[3,4,6,8,11,12,1,2,5,7,9,10] => 00000100000 => 00000100000 => 11111011111
[3,4,6,9,10,12,1,2,5,7,8,11] => 00000100000 => 00000100000 => 11111011111
[3,4,6,9,11,12,1,2,5,7,8,10] => 00000100000 => 00000100000 => 11111011111
[3,4,6,10,11,12,1,2,5,7,8,9] => 00000100000 => 00000100000 => 11111011111
[3,4,7,8,10,12,1,2,5,6,9,11] => 00000100000 => 00000100000 => 11111011111
[3,4,7,8,11,12,1,2,5,6,9,10] => 00000100000 => 00000100000 => 11111011111
[3,4,7,9,10,12,1,2,5,6,8,11] => 00000100000 => 00000100000 => 11111011111
[3,4,7,9,11,12,1,2,5,6,8,10] => 00000100000 => 00000100000 => 11111011111
[3,4,7,10,11,12,1,2,5,6,8,9] => 00000100000 => 00000100000 => 11111011111
[3,4,8,9,10,12,1,2,5,6,7,11] => 00000100000 => 00000100000 => 11111011111
[3,4,8,9,11,12,1,2,5,6,7,10] => 00000100000 => 00000100000 => 11111011111
[3,4,8,10,11,12,1,2,5,6,7,9] => 00000100000 => 00000100000 => 11111011111
[3,4,9,10,11,12,1,2,5,6,7,8] => 00000100000 => 00000100000 => 11111011111
[3,5,6,8,10,12,1,2,4,7,9,11] => 00000100000 => 00000100000 => 11111011111
[3,5,6,8,11,12,1,2,4,7,9,10] => 00000100000 => 00000100000 => 11111011111
[3,5,6,9,10,12,1,2,4,7,8,11] => 00000100000 => 00000100000 => 11111011111
[3,5,6,9,11,12,1,2,4,7,8,10] => 00000100000 => 00000100000 => 11111011111
[3,5,6,10,11,12,1,2,4,7,8,9] => 00000100000 => 00000100000 => 11111011111
[3,5,7,8,10,12,1,2,4,6,9,11] => 00000100000 => 00000100000 => 11111011111
[3,5,7,8,11,12,1,2,4,6,9,10] => 00000100000 => 00000100000 => 11111011111
[3,5,7,9,10,12,1,2,4,6,8,11] => 00000100000 => 00000100000 => 11111011111
[3,5,7,9,11,12,1,2,4,6,8,10] => 00000100000 => 00000100000 => 11111011111
[3,5,7,10,11,12,1,2,4,6,8,9] => 00000100000 => 00000100000 => 11111011111
[3,5,8,9,10,12,1,2,4,6,7,11] => 00000100000 => 00000100000 => 11111011111
[3,5,8,9,11,12,1,2,4,6,7,10] => 00000100000 => 00000100000 => 11111011111
[3,5,8,10,11,12,1,2,4,6,7,9] => 00000100000 => 00000100000 => 11111011111
[3,5,9,10,11,12,1,2,4,6,7,8] => 00000100000 => 00000100000 => 11111011111
[3,6,7,8,10,12,1,2,4,5,9,11] => 00000100000 => 00000100000 => 11111011111
[3,6,7,8,11,12,1,2,4,5,9,10] => 00000100000 => 00000100000 => 11111011111
[3,6,7,9,10,12,1,2,4,5,8,11] => 00000100000 => 00000100000 => 11111011111
[3,6,7,9,11,12,1,2,4,5,8,10] => 00000100000 => 00000100000 => 11111011111
[3,6,7,10,11,12,1,2,4,5,8,9] => 00000100000 => 00000100000 => 11111011111
[3,6,8,9,10,12,1,2,4,5,7,11] => 00000100000 => 00000100000 => 11111011111
[3,6,8,9,11,12,1,2,4,5,7,10] => 00000100000 => 00000100000 => 11111011111
[3,6,8,10,11,12,1,2,4,5,7,9] => 00000100000 => 00000100000 => 11111011111
[3,6,9,10,11,12,1,2,4,5,7,8] => 00000100000 => 00000100000 => 11111011111
[3,7,8,9,10,12,1,2,4,5,6,11] => 00000100000 => 00000100000 => 11111011111
[3,7,8,9,11,12,1,2,4,5,6,10] => 00000100000 => 00000100000 => 11111011111
[3,7,8,10,11,12,1,2,4,5,6,9] => 00000100000 => 00000100000 => 11111011111
[3,7,9,10,11,12,1,2,4,5,6,8] => 00000100000 => 00000100000 => 11111011111
[3,8,9,10,11,12,1,2,4,5,6,7] => 00000100000 => 00000100000 => 11111011111
[4,5,6,8,10,12,1,2,3,7,9,11] => 00000100000 => 00000100000 => 11111011111
[4,5,6,8,11,12,1,2,3,7,9,10] => 00000100000 => 00000100000 => 11111011111
[4,5,6,9,10,12,1,2,3,7,8,11] => 00000100000 => 00000100000 => 11111011111
[4,5,6,9,11,12,1,2,3,7,8,10] => 00000100000 => 00000100000 => 11111011111
[4,5,6,10,11,12,1,2,3,7,8,9] => 00000100000 => 00000100000 => 11111011111
[4,5,7,8,10,12,1,2,3,6,9,11] => 00000100000 => 00000100000 => 11111011111
[4,5,7,8,11,12,1,2,3,6,9,10] => 00000100000 => 00000100000 => 11111011111
[4,5,7,9,10,12,1,2,3,6,8,11] => 00000100000 => 00000100000 => 11111011111
[4,5,7,9,11,12,1,2,3,6,8,10] => 00000100000 => 00000100000 => 11111011111
[4,5,7,10,11,12,1,2,3,6,8,9] => 00000100000 => 00000100000 => 11111011111
[4,5,8,9,10,12,1,2,3,6,7,11] => 00000100000 => 00000100000 => 11111011111
[4,5,8,9,11,12,1,2,3,6,7,10] => 00000100000 => 00000100000 => 11111011111
[4,5,8,10,11,12,1,2,3,6,7,9] => 00000100000 => 00000100000 => 11111011111
[4,5,9,10,11,12,1,2,3,6,7,8] => 00000100000 => 00000100000 => 11111011111
[4,6,7,8,10,12,1,2,3,5,9,11] => 00000100000 => 00000100000 => 11111011111
[4,6,7,8,11,12,1,2,3,5,9,10] => 00000100000 => 00000100000 => 11111011111
[4,6,7,9,10,12,1,2,3,5,8,11] => 00000100000 => 00000100000 => 11111011111
[4,6,7,9,11,12,1,2,3,5,8,10] => 00000100000 => 00000100000 => 11111011111
[4,6,7,10,11,12,1,2,3,5,8,9] => 00000100000 => 00000100000 => 11111011111
[4,6,8,9,10,12,1,2,3,5,7,11] => 00000100000 => 00000100000 => 11111011111
[4,6,8,9,11,12,1,2,3,5,7,10] => 00000100000 => 00000100000 => 11111011111
[4,6,8,10,11,12,1,2,3,5,7,9] => 00000100000 => 00000100000 => 11111011111
[4,6,9,10,11,12,1,2,3,5,7,8] => 00000100000 => 00000100000 => 11111011111
[4,7,8,9,10,12,1,2,3,5,6,11] => 00000100000 => 00000100000 => 11111011111
[4,7,8,9,11,12,1,2,3,5,6,10] => 00000100000 => 00000100000 => 11111011111
[4,7,8,10,11,12,1,2,3,5,6,9] => 00000100000 => 00000100000 => 11111011111
[4,7,9,10,11,12,1,2,3,5,6,8] => 00000100000 => 00000100000 => 11111011111
[4,8,9,10,11,12,1,2,3,5,6,7] => 00000100000 => 00000100000 => 11111011111
[5,6,7,8,10,12,1,2,3,4,9,11] => 00000100000 => 00000100000 => 11111011111
[5,6,7,8,11,12,1,2,3,4,9,10] => 00000100000 => 00000100000 => 11111011111
[5,6,7,9,10,12,1,2,3,4,8,11] => 00000100000 => 00000100000 => 11111011111
[5,6,7,9,11,12,1,2,3,4,8,10] => 00000100000 => 00000100000 => 11111011111
[5,6,7,10,11,12,1,2,3,4,8,9] => 00000100000 => 00000100000 => 11111011111
[5,6,8,9,10,12,1,2,3,4,7,11] => 00000100000 => 00000100000 => 11111011111
[5,6,8,9,11,12,1,2,3,4,7,10] => 00000100000 => 00000100000 => 11111011111
[5,6,8,10,11,12,1,2,3,4,7,9] => 00000100000 => 00000100000 => 11111011111
[5,6,9,10,11,12,1,2,3,4,7,8] => 00000100000 => 00000100000 => 11111011111
[5,7,8,9,10,12,1,2,3,4,6,11] => 00000100000 => 00000100000 => 11111011111
[5,7,8,9,11,12,1,2,3,4,6,10] => 00000100000 => 00000100000 => 11111011111
[5,7,8,10,11,12,1,2,3,4,6,9] => 00000100000 => 00000100000 => 11111011111
[5,7,9,10,11,12,1,2,3,4,6,8] => 00000100000 => 00000100000 => 11111011111
[5,8,9,10,11,12,1,2,3,4,6,7] => 00000100000 => 00000100000 => 11111011111
[6,7,8,9,10,12,1,2,3,4,5,11] => 00000100000 => 00000100000 => 11111011111
[6,7,8,9,11,12,1,2,3,4,5,10] => 00000100000 => 00000100000 => 11111011111
[6,7,8,10,11,12,1,2,3,4,5,9] => 00000100000 => 00000100000 => 11111011111
[6,7,9,10,11,12,1,2,3,4,5,8] => 00000100000 => 00000100000 => 11111011111
[6,8,9,10,11,12,1,2,3,4,5,7] => 00000100000 => 00000100000 => 11111011111
[7,8,9,10,11,12,1,2,3,4,5,6] => 00000100000 => 00000100000 => 11111011111
[4,5,7,6,2,3,8,1] => 0011001 => 1001100 => 0110011
[3,5,7,2,6,4,8,1] => 0010101 => 1010100 => 0101011
[2,5,7,3,6,4,8,1] => 0010101 => 1010100 => 0101011
[1,5,7,3,6,8,4,2] => 0010011 => 1100100 => 0011011
[8,4,3,7,6,1,5,2] => 1101101 => 1011011 => 0100100
[6,7,2,3,5,4,8,1] => 0100101 => 1010010 => 0101101
[5,2,7,3,6,4,8,1] => 1010101 => 1010101 => 0101010
[8,3,4,7,6,1,5,2] => 1001101 => 1011001 => 0100110
[8,2,4,7,1,6,5,3] => 1001011 => 1101001 => 0010110
[3,1,4,7,6,8,5,2] => 1001011 => 1101001 => 0010110
[4,1,3,7,6,8,5,2] => 1001011 => 1101001 => 0010110
[5,1,7,3,6,8,4,2] => 1010011 => 1100101 => 0011010
[6,7,1,3,5,8,4,2] => 0100011 => 1100010 => 0011101
[5,8,7,3,6,1,4,2] => 0110101 => 1010110 => 0101001
[4,8,3,7,6,1,5,2] => 0101101 => 1011010 => 0100101
[3,8,4,7,6,1,5,2] => 0101101 => 1011010 => 0100101
[2,8,4,7,1,6,5,3] => 0101011 => 1101010 => 0010101
[8,1,4,7,2,6,5,3] => 1001011 => 1101001 => 0010110
[8,1,3,2,7,6,5,4] => 1010111 => 1110101 => 0001010
[2,8,3,1,7,6,5,4] => 0110111 => 1110110 => 0001001
[3,8,2,1,7,6,5,4] => 0110111 => 1110110 => 0001001
[6,7,1,2,8,5,4,3] => 0100111 => 1110010 => 0001101
[8,2,3,1,7,6,5,4] => 1010111 => 1110101 => 0001010
[8,3,2,1,7,6,5,4] => 1110111 => 1110111 => 0001000
[3,4,1,7,6,8,5,2] => 0101011 => 1101010 => 0010101
[1,4,2,7,8,6,5,3] => 0100111 => 1110010 => 0001101
[8,4,2,7,1,6,5,3] => 1101011 => 1101011 => 0010100
[8,5,7,2,1,6,4,3] => 1011011 => 1101101 => 0010010
[1,5,7,2,8,6,4,3] => 0010111 => 1110100 => 0001011
[2,5,7,1,8,6,4,3] => 0010111 => 1110100 => 0001011
[3,5,7,1,6,8,4,2] => 0010011 => 1100100 => 0011011
[6,7,4,5,8,1,3,2] => 0100101 => 1010010 => 0101101
[5,4,7,6,8,1,3,2] => 1010101 => 1010101 => 0101010
[2,5,7,8,1,6,4,3] => 0001011 => 1101000 => 0010111
[1,5,7,8,2,6,4,3] => 0001011 => 1101000 => 0010111
[8,5,7,1,2,6,4,3] => 1010011 => 1100101 => 0011010
[8,4,1,7,2,6,5,3] => 1101011 => 1101011 => 0010100
[1,4,8,7,2,6,5,3] => 0011011 => 1101100 => 0010011
[3,4,8,7,6,1,5,2] => 0011101 => 1011100 => 0100011
[4,3,8,7,6,1,5,2] => 1011101 => 1011101 => 0100010
[5,3,7,8,6,1,4,2] => 1001101 => 1011001 => 0100110
[6,7,2,8,1,5,4,3] => 0101011 => 1101010 => 0010101
[5,2,7,8,1,6,4,3] => 1001011 => 1101001 => 0010110
[4,2,8,7,1,6,5,3] => 1011011 => 1101101 => 0010010
[3,2,8,1,7,6,5,4] => 1010111 => 1110101 => 0001010
[1,3,8,2,7,6,5,4] => 0010111 => 1110100 => 0001011
[8,3,1,2,7,6,5,4] => 1100111 => 1110011 => 0001100
[8,2,1,3,7,6,5,4] => 1100111 => 1110011 => 0001100
[1,2,8,3,7,6,5,4] => 0010111 => 1110100 => 0001011
[2,1,8,3,7,6,5,4] => 1010111 => 1110101 => 0001010
[4,1,8,7,2,6,5,3] => 1011011 => 1101101 => 0010010
[5,1,7,8,2,6,4,3] => 1001011 => 1101001 => 0010110
[6,7,1,8,2,5,4,3] => 0101011 => 1101010 => 0010101
[5,8,7,1,2,6,4,3] => 0110011 => 1100110 => 0011001
[4,8,1,7,2,6,5,3] => 0101011 => 1101010 => 0010101
[3,8,1,2,7,6,5,4] => 0100111 => 1110010 => 0001101
[2,8,1,3,7,6,5,4] => 0100111 => 1110010 => 0001101
[1,8,2,3,7,6,5,4] => 0100111 => 1110010 => 0001101
[8,1,2,3,7,6,5,4] => 1000111 => 1110001 => 0001110
[3,1,4,5,6,7,8,9,10,2] => 100000001 => 100000001 => 011111110
[2,3,4,5,6,7,8,9,11,1,10] => 0000000010 => 0100000000 => 1011111111
[10,3,4,5,6,7,8,1,2,9] => 100000100 => 001000001 => 110111110
[10,1,4,5,6,7,8,9,2,3] => 100000010 => 010000001 => 101111110
[3,1,4,5,6,7,8,9,10,11,2] => 1000000001 => 1000000001 => 0111111110
[2,3,4,5,6,7,8,9,10,12,1,11] => 00000000010 => 01000000000 => 10111111111
[11,3,4,5,6,7,8,9,1,2,10] => 1000000100 => 0010000001 => 1101111110
[2,10,4,5,6,7,8,1,3,9] => 010000100 => 001000010 => 110111101
[8,3,4,5,6,7,1,10,2,9] => 100001010 => 010100001 => 101011110
[3,1,10,5,6,7,8,9,2,4] => 101000010 => 010000101 => 101111010
[9,1,4,5,6,7,8,2,10,3] => 100000101 => 101000001 => 010111110
[11,1,4,5,6,7,8,9,10,2,3] => 1000000010 => 0100000001 => 1011111110
[3,1,4,5,6,7,8,9,10,11,12,2] => 10000000001 => 10000000001 => 01111111110
[6,7,1,8,4,5,2,3] => 0101010 => 0101010 => 1010101
[3,7,1,5,8,2,6,4] => 0100101 => 1010010 => 0101101
[2,7,1,5,8,3,6,4] => 0100101 => 1010010 => 0101101
[2,6,5,1,8,3,7,4] => 0110101 => 1010110 => 0101001
[3,6,5,1,8,2,7,4] => 0110101 => 1010110 => 0101001
[4,6,5,1,8,7,2,3] => 0110110 => 0110110 => 1001001
[5,6,4,1,8,7,2,3] => 0110110 => 0110110 => 1001001
[8,1,4,5,7,6,2,3] => 1000110 => 0110001 => 1001110
[6,4,5,1,8,7,2,3] => 1010110 => 0110101 => 1001010
[5,4,6,1,8,7,2,3] => 1010110 => 0110101 => 1001010
[4,5,6,1,8,7,2,3] => 0010110 => 0110100 => 1001011
[3,5,6,1,8,2,7,4] => 0010101 => 1010100 => 0101011
[2,5,6,1,8,3,7,4] => 0010101 => 1010100 => 0101011
[2,4,6,1,3,8,7,5] => 0010011 => 1100100 => 0011011
[3,4,6,1,2,8,7,5] => 0010011 => 1100100 => 0011011
[4,3,6,1,2,8,7,5] => 1010011 => 1100101 => 0011010
[5,3,6,1,8,2,7,4] => 1010101 => 1010101 => 0101010
[7,3,1,5,8,2,6,4] => 1100101 => 1010011 => 0101100
[8,1,3,5,7,2,6,4] => 1000101 => 1010001 => 0101110
[8,1,2,5,7,3,6,4] => 1000101 => 1010001 => 0101110
[7,2,1,5,8,3,6,4] => 1100101 => 1010011 => 0101100
[6,2,5,1,8,3,7,4] => 1010101 => 1010101 => 0101010
[4,2,6,1,3,8,7,5] => 1010011 => 1100101 => 0011010
[2,3,6,1,4,8,7,5] => 0010011 => 1100100 => 0011011
[4,2,5,3,1,8,7,6] => 1011011 => 1101101 => 0010010
[6,2,4,1,3,8,7,5] => 1010011 => 1100101 => 0011010
[7,2,1,4,3,8,6,5] => 1101011 => 1101011 => 0010100
[8,1,2,4,3,7,6,5] => 1001011 => 1101001 => 0010110
[8,1,3,4,2,7,6,5] => 1001011 => 1101001 => 0010110
[7,3,1,4,2,8,6,5] => 1101011 => 1101011 => 0010100
[6,3,4,1,2,8,7,5] => 1010011 => 1100101 => 0011010
[4,6,3,1,2,8,7,5] => 0110011 => 1100110 => 0011001
[3,6,4,1,2,8,7,5] => 0110011 => 1100110 => 0011001
[2,6,4,1,3,8,7,5] => 0110011 => 1100110 => 0011001
[2,7,1,4,3,8,6,5] => 0101011 => 1101010 => 0010101
[3,7,1,4,2,8,6,5] => 0101011 => 1101010 => 0010101
[4,7,1,3,2,8,6,5] => 0101011 => 1101010 => 0010101
[8,1,6,7,2,3,5,4] => 1001001 => 1001001 => 0110110
[4,7,1,2,3,8,6,5] => 0100011 => 1100010 => 0011101
[3,7,1,2,4,8,6,5] => 0100011 => 1100010 => 0011101
[2,7,1,3,4,8,6,5] => 0100011 => 1100010 => 0011101
[2,6,3,1,4,8,7,5] => 0110011 => 1100110 => 0011001
[3,6,2,1,4,8,7,5] => 0110011 => 1100110 => 0011001
[5,6,2,1,8,3,7,4] => 0110101 => 1010110 => 0101001
[6,5,2,1,8,3,7,4] => 1110101 => 1010111 => 0101000
[8,1,5,2,7,3,6,4] => 1010101 => 1010101 => 0101010
[8,1,4,2,3,7,6,5] => 1010011 => 1100101 => 0011010
[7,4,1,2,3,8,6,5] => 1100011 => 1100011 => 0011100
[6,4,2,1,3,8,7,5] => 1110011 => 1100111 => 0011000
[5,4,2,3,1,8,7,6] => 1101011 => 1101011 => 0010100
[3,5,2,4,1,8,7,6] => 0101011 => 1101010 => 0010101
[6,3,2,1,4,8,7,5] => 1110011 => 1100111 => 0011000
[7,3,1,2,4,8,6,5] => 1100011 => 1100011 => 0011100
[8,1,3,2,4,7,6,5] => 1010011 => 1100101 => 0011010
[8,1,2,3,4,7,6,5] => 1000011 => 1100001 => 0011110
[7,2,1,3,4,8,6,5] => 1100011 => 1100011 => 0011100
[6,2,3,1,4,8,7,5] => 1010011 => 1100101 => 0011010
[2,4,3,6,1,5,8,7] => 0101001 => 1001010 => 0110101
[2,4,3,6,5,8,1,7] => 0101010 => 0101010 => 1010101
[2,4,6,3,5,8,7,1] => 0010011 => 1100100 => 0011011
[2,4,6,3,5,8,1,7] => 0010010 => 0100100 => 1011011
[2,4,6,3,5,1,8,7] => 0010101 => 1010100 => 0101011
[2,4,6,3,1,5,8,7] => 0011001 => 1001100 => 0110011
[2,4,1,6,5,3,8,7] => 0101101 => 1011010 => 0100101
[2,4,6,1,5,3,8,7] => 0010101 => 1010100 => 0101011
[4,2,6,5,3,1,8,7] => 1011101 => 1011101 => 0100010
[4,2,6,5,1,3,8,7] => 1011001 => 1001101 => 0110010
[4,2,6,5,1,8,7,3] => 1011011 => 1101101 => 0010010
[4,2,6,5,8,1,7,3] => 1010101 => 1010101 => 0101010
[4,2,6,5,8,1,3,7] => 1010100 => 0010101 => 1101010
[4,2,6,5,8,3,1,7] => 1010110 => 0110101 => 1001010
[2,4,6,1,5,8,3,7] => 0010010 => 0100100 => 1011011
[2,4,1,6,5,8,3,7] => 0101010 => 0101010 => 1010101
[2,1,4,6,5,8,3,7] => 1001010 => 0101001 => 1010110
[2,4,1,6,5,8,7,3] => 0101011 => 1101010 => 0010101
[2,4,6,1,5,8,7,3] => 0010011 => 1100100 => 0011011
[4,2,6,5,3,8,7,1] => 1011011 => 1101101 => 0010010
[4,2,6,5,8,3,7,1] => 1010101 => 1010101 => 0101010
[2,6,4,3,8,7,1,5] => 0110110 => 0110110 => 1001001
[2,6,4,3,8,7,5,1] => 0110111 => 1110110 => 0001001
[4,2,6,8,5,3,7,1] => 1001101 => 1011001 => 0100110
[2,4,6,8,1,5,7,3] => 0001001 => 1001000 => 0110111
[2,4,6,1,8,5,7,3] => 0010101 => 1010100 => 0101011
[2,4,1,6,8,5,7,3] => 0100101 => 1010010 => 0101101
[2,1,4,6,8,5,7,3] => 1000101 => 1010001 => 0101110
[2,1,4,6,8,5,3,7] => 1000110 => 0110001 => 1001110
[2,4,1,6,8,5,3,7] => 0100110 => 0110010 => 1001101
[2,4,6,1,8,5,3,7] => 0010110 => 0110100 => 1001011
[2,4,6,8,1,5,3,7] => 0001010 => 0101000 => 1010111
[4,2,6,8,5,3,1,7] => 1001110 => 0111001 => 1000110
[4,2,6,8,5,1,3,7] => 1001100 => 0011001 => 1100110
[4,2,6,8,5,1,7,3] => 1001101 => 1011001 => 0100110
[2,4,6,8,3,5,7,1] => 0001001 => 1001000 => 0110111
[2,4,6,8,3,5,1,7] => 0001010 => 0101000 => 1010111
[2,4,6,8,3,1,5,7] => 0001100 => 0011000 => 1100111
[2,4,6,3,1,8,5,7] => 0011010 => 0101100 => 1010011
[2,4,6,3,8,1,5,7] => 0010100 => 0010100 => 1101011
[2,4,6,3,8,5,1,7] => 0010110 => 0110100 => 1001011
[2,4,6,3,8,5,7,1] => 0010101 => 1010100 => 0101011
[2,4,3,6,8,5,7,1] => 0100101 => 1010010 => 0101101
[2,4,3,6,8,5,1,7] => 0100110 => 0110010 => 1001101
[2,4,3,6,8,1,5,7] => 0100100 => 0010010 => 1101101
[2,4,3,6,1,8,5,7] => 0101010 => 0101010 => 1010101
[2,4,3,1,6,8,5,7] => 0110010 => 0100110 => 1011001
[2,4,1,3,6,8,7,5] => 0100011 => 1100010 => 0011101
[2,4,3,6,1,8,7,5] => 0101011 => 1101010 => 0010101
[2,4,3,6,8,1,7,5] => 0100101 => 1010010 => 0101101
[4,6,5,2,8,7,3,1] => 0110111 => 1110110 => 0001001
[4,6,5,2,8,7,1,3] => 0110110 => 0110110 => 1001001
[4,6,2,5,8,7,1,3] => 0100110 => 0110010 => 1001101
[4,6,2,5,8,7,3,1] => 0100111 => 1110010 => 0001101
[2,4,6,3,8,1,7,5] => 0010101 => 1010100 => 0101011
[2,4,6,3,1,8,7,5] => 0011011 => 1101100 => 0010011
[2,4,1,6,3,8,7,5] => 0101011 => 1101010 => 0010101
[2,1,4,6,3,8,7,5] => 1001011 => 1101001 => 0010110
[2,1,4,6,8,3,7,5] => 1000101 => 1010001 => 0101110
[2,4,1,6,8,3,7,5] => 0100101 => 1010010 => 0101101
[2,4,6,1,8,3,7,5] => 0010101 => 1010100 => 0101011
[2,4,6,8,1,3,7,5] => 0001001 => 1001000 => 0110111
[2,4,6,8,3,1,7,5] => 0001101 => 1011000 => 0100111
[4,6,2,8,5,7,3,1] => 0101011 => 1101010 => 0010101
[4,6,2,8,5,7,1,3] => 0101010 => 0101010 => 1010101
[6,2,4,8,7,1,3,5] => 1001100 => 0011001 => 1100110
[6,4,2,8,7,5,3,1] => 1101111 => 1111011 => 0000100
[2,6,4,8,1,7,5,3] => 0101011 => 1101010 => 0010101
[2,6,4,1,8,7,5,3] => 0110111 => 1110110 => 0001001
[2,6,1,4,8,7,5,3] => 0100111 => 1110010 => 0001101
[2,1,6,4,8,7,5,3] => 1010111 => 1110101 => 0001010
[2,1,6,4,8,7,3,5] => 1010110 => 0110101 => 1001010
[2,6,1,4,8,7,3,5] => 0100110 => 0110010 => 1001101
[2,6,4,1,8,7,3,5] => 0110110 => 0110110 => 1001001
[2,6,4,8,1,7,3,5] => 0101010 => 0101010 => 1010101
[6,4,2,8,7,5,1,3] => 1101110 => 0111011 => 1000100
[6,2,4,8,7,3,5,1] => 1001101 => 1011001 => 0100110
[6,2,4,8,7,3,1,5] => 1001110 => 0111001 => 1000110
[1,6,4,7,3,8,2,5] => 0101010 => 0101010 => 1010101
[1,3,7,4,5,8,2,6] => 0010010 => 0100100 => 1011011
[5,2,4,7,3,6,8,1] => 1001001 => 1001001 => 0110110
[1,7,6,3,4,8,2,5] => 0110010 => 0100110 => 1011001
[8,1,6,3,7,2,4,5] => 1010100 => 0010101 => 1101010
[7,1,6,3,8,2,4,5] => 1010100 => 0010101 => 1101010
[1,2,7,4,8,3,5,6] => 0010100 => 0010100 => 1101011
[6,1,7,3,4,8,2,5] => 1010010 => 0100101 => 1011010
[2,1,7,4,5,8,3,6] => 1010010 => 0100101 => 1011010
[5,1,4,7,3,8,2,6] => 1001010 => 0101001 => 1010110
[4,3,1,7,5,8,2,6] => 1101010 => 0101011 => 1010100
[2,8,6,3,7,1,4,5] => 0110100 => 0010110 => 1101001
[6,8,1,3,7,2,4,5] => 0100100 => 0010010 => 1101101
[5,8,2,1,7,3,4,6] => 0110100 => 0010110 => 1101001
[5,7,2,1,8,3,4,6] => 0110100 => 0010110 => 1101001
[6,7,1,3,8,2,4,5] => 0100100 => 0010010 => 1101101
[5,1,2,4,8,3,6,7] => 1000100 => 0010001 => 1101110
[4,3,6,1,5,8,2,7] => 1010010 => 0100101 => 1011010
[2,6,1,4,5,8,3,7] => 0100010 => 0100010 => 1011101
[6,5,1,3,4,8,2,7] => 1100010 => 0100011 => 1011100
[1,6,2,4,8,3,5,7] => 0100100 => 0010010 => 1101101
[8,5,1,3,7,2,4,6] => 1100100 => 0010011 => 1101100
[1,5,3,2,8,4,6,7] => 0110100 => 0010110 => 1101001
[6,4,2,1,5,8,3,7] => 1110010 => 0100111 => 1011000
[2,5,3,4,1,8,6,7] => 0101010 => 0101010 => 1010101
[4,3,5,2,1,8,6,7] => 1011010 => 0101101 => 1010010
[2,6,4,8,7,1,3,5] => 0101100 => 0011010 => 1100101
[1,6,4,8,7,2,3,5] => 0101100 => 0011010 => 1100101
[2,7,8,3,6,1,4,5] => 0010100 => 0010100 => 1101011
[4,3,2,8,7,1,5,6] => 1101100 => 0011011 => 1100100
[5,2,4,8,7,1,3,6] => 1001100 => 0011001 => 1100110
[6,2,8,3,7,1,4,5] => 1010100 => 0010101 => 1101010
[5,1,4,8,7,2,3,6] => 1001100 => 0011001 => 1100110
[4,8,2,5,1,3,7,6] => 0101001 => 1001010 => 0110101
[4,7,2,5,1,3,8,6] => 0101001 => 1001010 => 0110101
[3,7,2,1,5,4,8,6] => 0110101 => 1010110 => 0101001
[3,8,2,1,5,4,7,6] => 0110101 => 1010110 => 0101001
[8,3,2,1,5,4,6,7] => 1110100 => 0010111 => 1101000
[8,3,2,1,6,4,5,7] => 1110100 => 0010111 => 1101000
[8,4,2,5,1,6,3,7] => 1101010 => 0101011 => 1010100
[8,3,2,1,5,6,4,7] => 1110010 => 0100111 => 1011000
[8,3,2,1,4,6,5,7] => 1110010 => 0100111 => 1011000
[3,8,2,1,4,5,7,6] => 0110001 => 1000110 => 0111001
[3,7,2,1,4,5,8,6] => 0110001 => 1000110 => 0111001
[3,2,7,1,4,6,8,5] => 1010001 => 1000101 => 0111010
[3,2,8,1,4,6,7,5] => 1010001 => 1000101 => 0111010
[3,2,8,1,4,7,6,5] => 1010011 => 1100101 => 0011010
[3,8,2,1,4,7,5,6] => 0110010 => 0100110 => 1011001
[3,8,2,1,5,7,4,6] => 0110010 => 0100110 => 1011001
[4,8,2,5,1,7,3,6] => 0101010 => 0101010 => 1010101
[4,7,2,5,1,8,3,6] => 0101010 => 0101010 => 1010101
[3,7,2,1,5,8,4,6] => 0110010 => 0100110 => 1011001
[3,7,2,1,4,8,5,6] => 0110010 => 0100110 => 1011001
[3,2,1,7,5,8,6,4] => 1101011 => 1101011 => 0010100
[3,2,7,1,6,8,4,5] => 1010010 => 0100101 => 1011010
[4,2,7,6,1,8,3,5] => 1011010 => 0101101 => 1010010
[4,3,7,6,8,1,2,5] => 1010100 => 0010101 => 1101010
[4,3,8,6,7,1,2,5] => 1010100 => 0010101 => 1101010
[4,2,8,6,1,7,3,5] => 1011010 => 0101101 => 1010010
[3,2,8,1,6,7,4,5] => 1010010 => 0100101 => 1011010
[3,2,1,8,7,5,6,4] => 1101101 => 1011011 => 0100100
[3,8,2,1,7,4,5,6] => 0110100 => 0010110 => 1101001
[3,2,8,1,7,4,6,5] => 1010101 => 1010101 => 0101010
[3,2,8,1,6,4,7,5] => 1010101 => 1010101 => 0101010
[3,2,7,1,6,4,8,5] => 1010101 => 1010101 => 0101010
[4,2,7,6,1,3,8,5] => 1011001 => 1001101 => 0110010
[4,2,8,6,1,3,7,5] => 1011001 => 1001101 => 0110010
[4,2,8,7,1,3,6,5] => 1011001 => 1001101 => 0110010
[5,7,8,3,4,1,2,6] => 0010100 => 0010100 => 1101011
[4,2,7,8,1,3,6,5] => 1001001 => 1001001 => 0110110
[4,2,6,8,1,3,7,5] => 1001001 => 1001001 => 0110110
[4,2,6,7,1,3,8,5] => 1001001 => 1001001 => 0110110
[3,2,6,1,8,4,7,5] => 1010101 => 1010101 => 0101010
[3,7,2,1,8,4,5,6] => 0110100 => 0010110 => 1101001
[3,7,2,1,8,5,4,6] => 0110110 => 0110110 => 1001001
[4,7,3,8,5,1,2,6] => 0101100 => 0011010 => 1100101
[4,3,7,8,6,1,2,5] => 1001100 => 0011001 => 1100110
[3,2,7,1,8,6,4,5] => 1010110 => 0110101 => 1001010
[3,2,1,6,8,5,7,4] => 1100101 => 1010011 => 0101100
[3,2,6,1,8,7,4,5] => 1010110 => 0110101 => 1001010
[4,2,6,8,1,7,3,5] => 1001010 => 0101001 => 1010110
[4,3,6,8,7,1,2,5] => 1001100 => 0011001 => 1100110
[4,2,6,7,1,8,3,5] => 1001010 => 0101001 => 1010110
[3,2,6,1,7,8,4,5] => 1010010 => 0100101 => 1011010
[3,4,6,8,7,5,1,2] => 0001110 => 0111000 => 1000111
[5,3,6,4,8,7,1,2] => 1010110 => 0110101 => 1001010
[1,4,6,2,7,8,5,3] => 0010011 => 1100100 => 0011011
[3,1,8,5,4,2,6,7] => 1011100 => 0011101 => 1100010
[1,2,7,5,4,8,6,3] => 0011011 => 1101100 => 0010011
[6,3,7,5,4,8,1,2] => 1011010 => 0101101 => 1010010
[7,3,8,5,4,6,1,2] => 1011010 => 0101101 => 1010010
[3,8,7,5,4,6,1,2] => 0111010 => 0101110 => 1010001
[4,3,6,7,8,5,1,2] => 1000110 => 0110001 => 1001110
[4,5,6,3,8,7,1,2] => 0010110 => 0110100 => 1001011
[3,6,8,5,4,7,1,2] => 0011010 => 0101100 => 1010011
[6,8,3,5,4,7,1,2] => 0101010 => 0101010 => 1010101
[7,6,3,5,4,8,1,2] => 1101010 => 0101011 => 1010100
[1,6,2,5,4,8,7,3] => 0101011 => 1101010 => 0010101
[7,1,2,5,8,3,6,4] => 1000101 => 1010001 => 0101110
[1,8,2,5,7,3,6,4] => 0100101 => 1010010 => 0101101
[6,2,1,5,4,8,7,3] => 1101011 => 1101011 => 0010100
[4,1,6,2,8,7,5,3] => 1010111 => 1110101 => 0001010
[7,8,1,2,4,6,5,3] => 0100011 => 1100010 => 0011101
[7,8,3,1,4,2,6,5] => 0110101 => 1010110 => 0101001
[4,3,6,1,8,2,7,5] => 1010101 => 1010101 => 0101010
[2,3,8,5,4,1,6,7] => 0011100 => 0011100 => 1100011
[4,8,1,5,2,3,7,6] => 0101001 => 1001010 => 0110101
[7,5,1,6,4,3,2,8] => 1101110 => 0111011 => 1000100
[5,8,1,6,4,3,2,7] => 0101110 => 0111010 => 1000101
[6,1,5,7,4,3,2,8] => 1001110 => 0111001 => 1000110
[1,5,8,6,4,3,2,7] => 0011110 => 0111100 => 1000011
[3,4,6,1,5,8,2,7] => 0010010 => 0100100 => 1011011
[7,8,4,1,5,3,2,6] => 0110110 => 0110110 => 1001001
[7,8,5,1,6,3,2,4] => 0110110 => 0110110 => 1001001
[2,6,1,5,7,3,8,4] => 0100101 => 1010010 => 0101101
[1,6,8,7,4,3,2,5] => 0011110 => 0111100 => 1000011
[6,8,1,7,4,3,2,5] => 0101110 => 0111010 => 1000101
[5,6,1,7,4,3,2,8] => 0101110 => 0111010 => 1000101
[5,1,7,6,4,3,2,8] => 1011110 => 0111101 => 1000010
[6,1,7,8,4,3,2,5] => 1001110 => 0111001 => 1000110
[7,1,8,6,4,3,2,5] => 1011110 => 0111101 => 1000010
[1,8,7,6,4,3,2,5] => 0111110 => 0111110 => 1000001
[2,1,7,5,6,3,8,4] => 1010101 => 1010101 => 0101010
[3,1,6,7,5,8,2,4] => 1001010 => 0101001 => 1010110
[7,8,1,6,5,3,2,4] => 0101110 => 0111010 => 1000101
[7,8,2,1,4,5,6,3] => 0110001 => 1000110 => 0111001
[2,8,1,5,4,6,7,3] => 0101001 => 1001010 => 0110101
[7,2,1,5,4,6,8,3] => 1101001 => 1001011 => 0110100
[1,2,8,5,6,3,7,4] => 0010101 => 1010100 => 0101011
[6,1,2,5,7,3,8,4] => 1000101 => 1010001 => 0101110
[4,2,1,5,6,3,7,8] => 1100100 => 0010011 => 1101100
[4,3,6,1,5,7,2,8] => 1010010 => 0100101 => 1011010
[5,1,6,3,7,8,2,4] => 1010010 => 0100101 => 1011010
[1,3,6,8,5,7,2,4] => 0001010 => 0101000 => 1010111
[2,4,6,3,7,1,8,5] => 0010101 => 1010100 => 0101011
[1,3,6,4,8,7,2,5] => 0010110 => 0110100 => 1001011
[4,1,6,7,3,8,2,5] => 1001010 => 0101001 => 1010110
[5,4,6,1,3,7,2,8] => 1010010 => 0100101 => 1011010
[6,4,1,5,2,3,7,8] => 1101000 => 0001011 => 1110100
[4,1,7,5,2,3,8,6] => 1011001 => 1001101 => 0110010
[1,2,4,5,8,3,7,6] => 0000101 => 1010000 => 0101111
[7,2,3,5,4,1,8,6] => 1001101 => 1011001 => 0100110
[2,8,3,5,4,1,7,6] => 0101101 => 1011010 => 0100101
[4,2,6,3,8,1,7,5] => 1010101 => 1010101 => 0101010
[7,8,2,3,4,1,6,5] => 0100101 => 1010010 => 0101101
[7,8,1,4,6,3,2,5] => 0100110 => 0110010 => 1001101
[3,1,6,4,7,8,2,5] => 1010010 => 0100101 => 1011010
[1,8,5,7,4,3,2,6] => 0101110 => 0111010 => 1000101
[7,1,5,8,4,3,2,6] => 1001110 => 0111001 => 1000110
[5,1,8,7,4,3,2,6] => 1011110 => 0111101 => 1000010
[6,5,1,8,4,3,2,7] => 1101110 => 0111011 => 1000100
[6,5,7,1,4,3,2,8] => 1010110 => 0110101 => 1001010
[7,5,8,1,4,3,2,6] => 1010110 => 0110101 => 1001010
[5,8,7,1,4,3,2,6] => 0110110 => 0110110 => 1001001
[1,5,7,8,4,3,2,6] => 0001110 => 0111000 => 1000111
[2,4,7,5,1,3,8,6] => 0011001 => 1001100 => 0110011
[7,8,4,6,1,3,2,5] => 0101010 => 0101010 => 1010101
[7,8,5,4,1,3,2,6] => 0111010 => 0101110 => 1010001
[3,5,6,4,1,8,2,7] => 0011010 => 0101100 => 1010011
[2,6,4,5,1,3,8,7] => 0101001 => 1001010 => 0110101
[1,6,5,8,4,3,2,7] => 0101110 => 0111010 => 1000101
[6,8,5,1,4,3,2,7] => 0110110 => 0110110 => 1001001
[7,6,5,1,4,3,2,8] => 1110110 => 0110111 => 1001000
[1,2,3,4,5,6,9,7,8] => 00000010 => 01000000 => 10111111
[1,2,3,4,5,8,6,9,7] => 00000101 => 10100000 => 01011111
[1,2,3,4,7,5,8,9,6] => 00001001 => 10010000 => 01101111
[1,2,3,6,4,7,8,9,5] => 00010001 => 10001000 => 01110111
[1,2,5,3,6,7,8,9,4] => 00100001 => 10000100 => 01111011
[1,4,2,5,6,7,8,9,3] => 01000001 => 10000010 => 01111101
[9,8,1,2,3,4,5,6,7] => 11000000 => 00000011 => 11111100
[7,8,9,1,2,3,4,5,6] => 00100000 => 00000100 => 11111011
[9,8,7,1,2,3,4,5,6] => 11100000 => 00000111 => 11111000
[6,7,8,9,1,2,3,4,5] => 00010000 => 00001000 => 11110111
[9,6,7,8,1,2,3,4,5] => 10010000 => 00001001 => 11110110
[8,9,6,7,1,2,3,4,5] => 01010000 => 00001010 => 11110101
[9,8,6,7,1,2,3,4,5] => 11010000 => 00001011 => 11110100
[9,8,7,6,1,2,3,4,5] => 11110000 => 00001111 => 11110000
[9,5,6,7,8,1,2,3,4] => 10001000 => 00010001 => 11101110
[8,9,5,6,7,1,2,3,4] => 01001000 => 00010010 => 11101101
[9,8,5,6,7,1,2,3,4] => 11001000 => 00010011 => 11101100
[9,7,8,5,6,1,2,3,4] => 10101000 => 00010101 => 11101010
[9,8,7,5,6,1,2,3,4] => 11101000 => 00010111 => 11101000
[9,8,7,6,5,1,2,3,4] => 11111000 => 00011111 => 11100000
[7,8,9,4,5,6,1,2,3] => 00100100 => 00100100 => 11011011
[9,7,8,4,5,6,1,2,3] => 10100100 => 00100101 => 11011010
[9,8,7,4,5,6,1,2,3] => 11100100 => 00100111 => 11011000
[8,9,6,7,4,5,1,2,3] => 01010100 => 00101010 => 11010101
[9,8,6,7,4,5,1,2,3] => 11010100 => 00101011 => 11010100
[9,8,7,6,4,5,1,2,3] => 11110100 => 00101111 => 11010000
[9,8,7,6,5,4,1,2,3] => 11111100 => 00111111 => 11000000
[9,7,8,5,6,3,4,1,2] => 10101010 => 01010101 => 10101010
[9,8,7,5,6,3,4,1,2] => 11101010 => 01010111 => 10101000
[9,8,7,6,5,3,4,1,2] => 11111010 => 01011111 => 10100000
[9,8,7,6,5,4,3,1,2] => 11111110 => 01111111 => 10000000
[9,10,1,2,3,4,5,6,7,8] => 010000000 => 000000010 => 111111101
[8,9,10,1,2,3,4,5,6,7] => 001000000 => 000000100 => 111111011
[10,8,9,1,2,3,4,5,6,7] => 101000000 => 000000101 => 111111010
[10,9,8,1,2,3,4,5,6,7] => 111000000 => 000000111 => 111111000
[7,8,9,10,1,2,3,4,5,6] => 000100000 => 000001000 => 111110111
[10,7,8,9,1,2,3,4,5,6] => 100100000 => 000001001 => 111110110
[9,10,7,8,1,2,3,4,5,6] => 010100000 => 000001010 => 111110101
[10,9,7,8,1,2,3,4,5,6] => 110100000 => 000001011 => 111110100
[10,9,8,7,1,2,3,4,5,6] => 111100000 => 000001111 => 111110000
[10,6,7,8,9,1,2,3,4,5] => 100010000 => 000010001 => 111101110
[9,10,6,7,8,1,2,3,4,5] => 010010000 => 000010010 => 111101101
[10,9,6,7,8,1,2,3,4,5] => 110010000 => 000010011 => 111101100
[10,8,9,6,7,1,2,3,4,5] => 101010000 => 000010101 => 111101010
[10,9,8,6,7,1,2,3,4,5] => 111010000 => 000010111 => 111101000
[10,9,8,7,6,1,2,3,4,5] => 111110000 => 000011111 => 111100000
[9,10,5,6,7,8,1,2,3,4] => 010001000 => 000100010 => 111011101
[10,9,5,6,7,8,1,2,3,4] => 110001000 => 000100011 => 111011100
[8,9,10,5,6,7,1,2,3,4] => 001001000 => 000100100 => 111011011
[10,9,8,5,6,7,1,2,3,4] => 111001000 => 000100111 => 111011000
[9,10,7,8,5,6,1,2,3,4] => 010101000 => 000101010 => 111010101
[10,9,7,8,5,6,1,2,3,4] => 110101000 => 000101011 => 111010100
[10,9,8,7,5,6,1,2,3,4] => 111101000 => 000101111 => 111010000
[10,9,8,7,6,5,1,2,3,4] => 111111000 => 000111111 => 111000000
[10,7,8,9,4,5,6,1,2,3] => 100100100 => 001001001 => 110110110
[9,10,7,8,4,5,6,1,2,3] => 010100100 => 001001010 => 110110101
[10,9,7,8,4,5,6,1,2,3] => 110100100 => 001001011 => 110110100
[10,9,8,7,4,5,6,1,2,3] => 111100100 => 001001111 => 110110000
[10,8,9,6,7,4,5,1,2,3] => 101010100 => 001010101 => 110101010
[10,9,8,6,7,4,5,1,2,3] => 111010100 => 001010111 => 110101000
[10,9,8,7,6,4,5,1,2,3] => 111110100 => 001011111 => 110100000
[10,9,8,7,6,5,4,1,2,3] => 111111100 => 001111111 => 110000000
[9,10,7,8,5,6,3,4,1,2] => 010101010 => 010101010 => 101010101
[10,9,7,8,5,6,3,4,1,2] => 110101010 => 010101011 => 101010100
[10,9,8,7,5,6,3,4,1,2] => 111101010 => 010101111 => 101010000
[10,9,8,7,6,5,3,4,1,2] => 111111010 => 010111111 => 101000000
[10,9,8,7,6,5,4,3,1,2] => 111111110 => 011111111 => 100000000
[3,4,6,2,7,1,5,8] => 0010100 => 0010100 => 1101011
[3,6,2,5,4,1,7,8] => 0101100 => 0011010 => 1100101
[3,2,7,5,4,1,6,8] => 1011100 => 0011101 => 1100010
[4,3,6,2,8,1,5,7] => 1010100 => 0010101 => 1101010
[6,1,2,5,4,7,8,3] => 1001001 => 1001001 => 0110110
[6,2,4,5,1,3,7,8] => 1001000 => 0001001 => 1110110
[4,2,8,5,1,3,7,6] => 1011001 => 1001101 => 0110010
[4,3,6,8,1,7,2,5] => 1001010 => 0101001 => 1010110
[5,3,6,4,1,7,2,8] => 1011010 => 0101101 => 1010010
[6,2,1,5,8,3,7,4] => 1100101 => 1010011 => 0101100
[1,6,7,4,8,3,5,2] => 0010101 => 1010100 => 0101011
[1,4,6,3,7,5,8,2] => 0010101 => 1010100 => 0101011
[4,6,7,2,5,8,1,3] => 0010010 => 0100100 => 1011011
[2,4,6,1,7,5,3,8] => 0010110 => 0110100 => 1001011
[2,7,5,4,1,6,3,8] => 0111010 => 0101110 => 1010001
[7,5,4,6,2,8,1,3] => 1101010 => 0101011 => 1010100
[1,7,5,4,3,8,6,2] => 0111011 => 1101110 => 0010001
[1,4,6,3,5,8,7,2] => 0010011 => 1100100 => 0011011
[1,5,8,4,3,6,7,2] => 0011001 => 1001100 => 0110011
[5,4,6,2,7,8,1,3] => 1010010 => 0100101 => 1011010
[2,5,4,1,6,7,3,8] => 0110010 => 0100110 => 1011001
[5,6,3,2,7,1,4,8] => 0110100 => 0010110 => 1101001
[5,6,3,2,7,1,8,4] => 0110101 => 1010110 => 0101001
[8,5,6,3,2,7,1,4] => 1011010 => 0101101 => 1010010
[5,4,6,2,8,1,7,3] => 1010101 => 1010101 => 0101010
[2,4,1,7,8,5,3,6] => 0100110 => 0110010 => 1001101
[2,5,4,1,6,3,8,7] => 0110101 => 1010110 => 0101001
[5,6,3,2,1,8,4,7] => 0111010 => 0101110 => 1010001
[3,5,2,1,6,4,7,8] => 0110100 => 0010110 => 1101001
[6,8,4,3,2,1,5,7] => 0111100 => 0011110 => 1100001
[5,3,8,2,1,6,4,7] => 1011010 => 0101101 => 1010010
[3,7,5,8,2,1,4,6] => 0101100 => 0011010 => 1100101
[7,3,2,8,5,1,6,4] => 1101101 => 1011011 => 0100100
[8,4,6,3,2,1,7,5] => 1011101 => 1011101 => 0100010
[8,6,4,3,2,1,7,5] => 1111101 => 1011111 => 0100000
[7,6,4,3,2,1,8,5] => 1111101 => 1011111 => 0100000
[7,8,4,3,2,1,6,5] => 0111101 => 1011110 => 0100001
[5,4,7,2,1,8,6,3] => 1011011 => 1101101 => 0010010
[7,5,8,3,2,6,1,4] => 1011010 => 0101101 => 1010010
[5,7,3,2,1,6,8,4] => 0111001 => 1001110 => 0110001
[5,7,3,2,1,6,4,8] => 0111010 => 0101110 => 1010001
[6,3,7,2,5,1,8,4] => 1010101 => 1010101 => 0101010
[6,7,8,3,5,2,1,4] => 0010110 => 0110100 => 1001011
[6,2,5,7,8,4,1,3] => 1000110 => 0110001 => 1001110
[2,1,5,7,8,6,3,4] => 1000110 => 0110001 => 1001110
[3,6,7,2,8,1,4,5] => 0010100 => 0010100 => 1101011
[6,3,7,2,8,1,4,5] => 1010100 => 0010101 => 1101010
[3,2,6,1,7,4,5,8] => 1010100 => 0010101 => 1101010
[3,5,2,1,4,7,6,8] => 0110010 => 0100110 => 1011001
[7,3,5,2,1,8,4,6] => 1011010 => 0101101 => 1010010
[2,5,4,1,3,7,8,6] => 0110001 => 1000110 => 0111001
[2,5,8,4,1,3,7,6] => 0011001 => 1001100 => 0110011
[2,4,1,7,8,3,6,5] => 0100101 => 1010010 => 0101101
[3,7,2,8,6,1,4,5] => 0101100 => 0011010 => 1100101
[3,6,8,2,1,7,4,5] => 0011010 => 0101100 => 1010011
[5,3,8,2,1,4,7,6] => 1011001 => 1001101 => 0110010
[4,8,7,3,2,1,5,6] => 0111100 => 0011110 => 1100001
[4,7,3,2,1,5,6,8] => 0111000 => 0001110 => 1110001
[8,4,7,3,2,1,5,6] => 1011100 => 0011101 => 1100010
[8,3,5,2,1,4,7,6] => 1011001 => 1001101 => 0110010
[7,3,2,8,6,1,4,5] => 1101100 => 0011011 => 1100100
[3,5,2,1,4,6,8,7] => 0110001 => 1000110 => 0111001
[7,8,6,5,4,3,2,1,9] => 01111110 => 01111110 => 10000001
[1,8,9,7,6,5,4,3,2] => 00111111 => 11111100 => 00000011
[8,9,7,6,5,4,3,2,1,10] => 011111110 => 011111110 => 100000001
[7,6,8,5,4,3,2,1,9] => 10111110 => 01111101 => 10000010
[6,8,7,5,4,3,2,1,9] => 01111110 => 01111110 => 10000001
[1,8,7,9,6,5,4,3,2] => 01011111 => 11111010 => 00000101
[1,7,9,8,6,5,4,3,2] => 00111111 => 11111100 => 00000011
[1,9,10,8,7,6,5,4,3,2] => 001111111 => 111111100 => 000000011
[7,8,3,5,4,6,1,2] => 0101010 => 0101010 => 1010101
[8,6,3,7,5,2,4,1] => 1101101 => 1011011 => 0100100
[5,4,1,6,3,2,8,7] => 1101101 => 1011011 => 0100100
[5,4,1,6,2,3,8,7] => 1101001 => 1001011 => 0110100
[5,7,1,6,2,8,3,4] => 0101010 => 0101010 => 1010101
[5,7,1,6,2,8,4,3] => 0101011 => 1101010 => 0010101
[2,7,6,5,1,8,3,4] => 0111010 => 0101110 => 1010001
[2,7,6,5,1,8,4,3] => 0111011 => 1101110 => 0010001
[2,3,6,5,1,4,8,7] => 0011001 => 1001100 => 0110011
[2,3,6,4,1,5,8,7] => 0011001 => 1001100 => 0110011
[2,3,6,1,5,4,8,7] => 0010101 => 1010100 => 0101011
[2,7,6,1,4,8,5,3] => 0110011 => 1100110 => 0011001
[2,7,6,1,4,8,3,5] => 0110010 => 0100110 => 1011001
[7,3,5,1,8,4,2,6] => 1010110 => 0110101 => 1001010
[7,3,5,1,8,6,4,2] => 1010111 => 1110101 => 0001010
[2,7,6,1,5,8,4,3] => 0110011 => 1100110 => 0011001
[2,7,6,4,1,8,5,3] => 0111011 => 1101110 => 0010001
[2,1,7,6,3,8,5,4] => 1011011 => 1101101 => 0010010
[2,1,7,6,3,8,4,5] => 1011010 => 0101101 => 1010010
[5,7,3,6,2,8,4,1] => 0101011 => 1101010 => 0010101
[2,7,6,4,1,8,3,5] => 0111010 => 0101110 => 1010001
[7,3,5,1,8,6,2,4] => 1010110 => 0110101 => 1001010
[6,3,5,1,8,2,4,7] => 1010100 => 0010101 => 1101010
[2,3,4,8,7,6,1,5] => 0001110 => 0111000 => 1000111
[2,3,4,8,5,7,1,6] => 0001010 => 0101000 => 1010111
[7,3,5,4,8,1,2,6] => 1010100 => 0010101 => 1101010
[6,4,3,5,8,7,2,1] => 1100111 => 1110011 => 0001100
[2,1,4,5,8,7,3,6] => 1000110 => 0110001 => 1001110
[6,4,3,5,8,7,1,2] => 1100110 => 0110011 => 1001100
[7,3,5,4,8,1,6,2] => 1010101 => 1010101 => 0101010
[2,3,4,8,7,5,6,1] => 0001101 => 1011000 => 0100111
[2,3,4,8,7,5,1,6] => 0001110 => 0111000 => 1000111
[2,7,6,5,4,8,1,3] => 0111010 => 0101110 => 1010001
[7,3,5,6,8,4,1,2] => 1000110 => 0110001 => 1001110
[7,3,5,6,8,1,4,2] => 1000101 => 1010001 => 0101110
[7,3,5,6,8,1,2,4] => 1000100 => 0010001 => 1101110
[6,4,1,5,8,7,2,3] => 1100110 => 0110011 => 1001100
[6,4,1,5,8,7,3,2] => 1100111 => 1110011 => 0001100
[6,4,1,5,8,3,7,2] => 1100101 => 1010011 => 0101100
[5,7,1,6,3,8,2,4] => 0101010 => 0101010 => 1010101
[6,4,1,5,8,3,2,7] => 1100110 => 0110011 => 1001100
[7,4,1,5,8,2,3,6] => 1100100 => 0010011 => 1101100
[7,4,1,5,8,2,6,3] => 1100101 => 1010011 => 0101100
[6,3,5,7,8,2,1,4] => 1000110 => 0110001 => 1001110
[6,3,5,7,8,2,4,1] => 1000101 => 1010001 => 0101110
[2,7,6,4,5,8,3,1] => 0110011 => 1100110 => 0011001
[5,7,3,6,1,8,4,2] => 0101011 => 1101010 => 0010101
[2,1,4,5,8,6,3,7] => 1000110 => 0110001 => 1001110
[7,3,5,4,8,6,2,1] => 1010111 => 1110101 => 0001010
[2,3,4,8,5,6,1,7] => 0001010 => 0101000 => 1010111
[2,3,4,8,7,1,6,5] => 0001101 => 1011000 => 0100111
[2,3,4,8,1,7,6,5] => 0001011 => 1101000 => 0010111
[2,3,4,8,1,6,7,5] => 0001001 => 1001000 => 0110111
[2,3,4,8,5,1,7,6] => 0001101 => 1011000 => 0100111
[6,3,5,4,8,2,7,1] => 1010101 => 1010101 => 0101010
[7,4,3,5,8,2,1,6] => 1100110 => 0110011 => 1001100
[2,1,4,5,8,3,7,6] => 1000101 => 1010001 => 0101110
[7,4,3,5,8,2,6,1] => 1100101 => 1010011 => 0101100
[6,3,5,4,8,2,1,7] => 1010110 => 0110101 => 1001010
[2,3,4,8,5,1,6,7] => 0001100 => 0011000 => 1100111
[2,3,4,8,1,6,5,7] => 0001010 => 0101000 => 1010111
[2,3,4,8,1,5,7,6] => 0001001 => 1001000 => 0110111
[7,8,2,6,1,5,3,4] => 0101010 => 0101010 => 1010101
[7,8,1,6,2,5,3,4] => 0101010 => 0101010 => 1010101
[1,8,6,7,2,5,3,4] => 0101010 => 0101010 => 1010101
[1,8,5,7,2,6,3,4] => 0101010 => 0101010 => 1010101
[5,8,1,7,2,6,3,4] => 0101010 => 0101010 => 1010101
[5,8,2,7,1,6,3,4] => 0101010 => 0101010 => 1010101
[2,8,6,7,1,5,3,4] => 0101010 => 0101010 => 1010101
[2,8,5,7,1,6,3,4] => 0101010 => 0101010 => 1010101
[2,8,1,7,5,6,3,4] => 0101010 => 0101010 => 1010101
[1,8,2,7,5,6,3,4] => 0101010 => 0101010 => 1010101
[1,8,2,7,4,6,3,5] => 0101010 => 0101010 => 1010101
[2,8,1,7,4,6,3,5] => 0101010 => 0101010 => 1010101
[2,8,4,7,1,6,3,5] => 0101010 => 0101010 => 1010101
[4,8,2,7,1,6,3,5] => 0101010 => 0101010 => 1010101
[4,8,1,7,2,6,3,5] => 0101010 => 0101010 => 1010101
[1,8,4,7,2,6,3,5] => 0101010 => 0101010 => 1010101
[4,8,1,7,5,6,2,3] => 0101010 => 0101010 => 1010101
[1,8,4,7,5,6,2,3] => 0101010 => 0101010 => 1010101
[1,8,3,7,5,6,2,4] => 0101010 => 0101010 => 1010101
[3,8,1,7,5,6,2,4] => 0101010 => 0101010 => 1010101
[3,8,1,7,4,6,2,5] => 0101010 => 0101010 => 1010101
[1,8,3,7,4,6,2,5] => 0101010 => 0101010 => 1010101
[1,8,3,7,2,6,4,5] => 0101010 => 0101010 => 1010101
[3,8,1,7,2,6,4,5] => 0101010 => 0101010 => 1010101
[3,8,2,7,1,6,4,5] => 0101010 => 0101010 => 1010101
[3,8,2,7,4,6,1,5] => 0101010 => 0101010 => 1010101
[3,8,2,7,5,6,1,4] => 0101010 => 0101010 => 1010101
[4,8,2,7,5,6,1,3] => 0101010 => 0101010 => 1010101
[4,8,3,7,5,6,1,2] => 0101010 => 0101010 => 1010101
[3,8,4,7,5,6,1,2] => 0101010 => 0101010 => 1010101
[2,8,4,7,5,6,1,3] => 0101010 => 0101010 => 1010101
[2,8,3,7,5,6,1,4] => 0101010 => 0101010 => 1010101
[2,8,3,7,4,6,1,5] => 0101010 => 0101010 => 1010101
[2,8,3,7,1,6,4,5] => 0101010 => 0101010 => 1010101
[2,8,1,7,3,6,4,5] => 0101010 => 0101010 => 1010101
[7,5,2,8,6,4,1,3] => 1101110 => 0111011 => 1000100
[7,5,1,8,6,2,3,4] => 1101100 => 0011011 => 1100100
[7,4,8,6,1,5,2,3] => 1011010 => 0101101 => 1010010
[7,1,8,4,5,2,6,3] => 1010101 => 1010101 => 0101010
[6,8,1,7,4,2,5,3] => 0101101 => 1011010 => 0100101
[1,6,7,4,2,8,5,3] => 0011011 => 1101100 => 0010011
[1,6,7,3,8,5,2,4] => 0010110 => 0110100 => 1001011
[7,1,8,3,5,6,2,4] => 1010010 => 0100101 => 1011010
[7,3,8,6,2,5,1,4] => 1011010 => 0101101 => 1010010
[7,4,2,8,6,1,3,5] => 1101100 => 0011011 => 1100100
[7,3,1,8,4,2,5,6] => 1101100 => 0011011 => 1100100
[7,2,8,4,1,5,3,6] => 1011010 => 0101101 => 1010010
[7,2,8,3,5,1,6,4] => 1010101 => 1010101 => 0101010
[7,2,8,3,4,6,1,5] => 1010010 => 0100101 => 1011010
[1,5,7,8,2,6,3,4] => 0001010 => 0101000 => 1010111
[6,2,3,8,5,7,4,1] => 1001011 => 1101001 => 0010110
[6,2,4,8,5,3,1,7] => 1001110 => 0111001 => 1000110
[6,3,1,4,8,5,2,7] => 1100110 => 0110011 => 1001100
[2,6,3,7,8,5,4,1] => 0100111 => 1110010 => 0001101
[2,6,3,7,8,4,5,1] => 0100101 => 1010010 => 0101101
[2,4,7,3,5,6,8,1] => 0010001 => 1000100 => 0111011
[2,4,7,3,6,8,5,1] => 0010011 => 1100100 => 0011011
[2,5,3,7,8,1,6,4] => 0100101 => 1010010 => 0101101
[3,1,5,4,7,8,2,6] => 1010010 => 0100101 => 1011010
[5,3,1,4,8,2,6,7] => 1100100 => 0010011 => 1101100
[5,2,4,8,6,1,3,7] => 1001100 => 0011001 => 1100110
[5,2,3,8,4,6,7,1] => 1001001 => 1001001 => 0110110
[4,8,2,3,6,1,7,5] => 0100101 => 1010010 => 0101101
[4,8,2,3,5,7,1,6] => 0100010 => 0100010 => 1011101
[1,4,7,8,3,6,2,5] => 0001010 => 0101000 => 1010111
[4,8,1,3,6,7,2,5] => 0100010 => 0100010 => 1011101
[5,3,8,2,4,7,1,6] => 1010010 => 0100101 => 1011010
[5,4,3,8,1,2,7,6] => 1101001 => 1001011 => 0110100
[6,4,2,8,1,3,7,5] => 1101001 => 1001011 => 0110100
[6,3,8,2,5,1,7,4] => 1010101 => 1010101 => 0101010
[6,3,8,1,4,7,2,5] => 1010010 => 0100101 => 1011010
[5,8,1,3,6,2,7,4] => 0100101 => 1010010 => 0101101
[1,5,7,4,2,6,8,3] => 0011001 => 1001100 => 0110011
[5,8,1,4,2,6,3,7] => 0101010 => 0101010 => 1010101
[5,8,4,1,2,7,6,3] => 0110011 => 1100110 => 0011001
[6,5,1,2,8,7,3,4] => 1100110 => 0110011 => 1001100
[6,5,3,1,4,2,8,7] => 1110101 => 1010111 => 0101000
[5,3,1,6,4,2,7,8] => 1101100 => 0011011 => 1100100
[5,2,6,4,1,7,3,8] => 1011010 => 0101101 => 1010010
[4,6,1,7,5,2,8,3] => 0101101 => 1011010 => 0100101
[4,5,1,7,2,6,3,8] => 0101010 => 0101010 => 1010101
[3,5,6,1,2,8,7,4] => 0010011 => 1100100 => 0011011
[3,5,7,1,8,6,2,4] => 0010110 => 0110100 => 1001011
[3,6,2,7,5,1,8,4] => 0101101 => 1011010 => 0100101
[4,2,5,7,1,8,6,3] => 1001011 => 1101001 => 0010110
[3,4,7,2,8,6,1,5] => 0010110 => 0110100 => 1001011
[3,4,5,8,2,7,1,6] => 0001010 => 0101000 => 1010111
[3,4,6,2,8,1,5,7] => 0010100 => 0010100 => 1101011
[3,5,2,6,8,1,7,4] => 0100101 => 1010010 => 0101101
[4,2,5,6,1,3,8,7] => 1001001 => 1001001 => 0110110
[4,3,1,2,5,6,8,7] => 1100001 => 1000011 => 0111100
[5,3,6,8,4,7,2,1] => 1001011 => 1101001 => 0010110
[3,7,2,5,4,8,6,1] => 0101011 => 1101010 => 0010101
[8,4,2,5,7,3,6,1] => 1100101 => 1010011 => 0101100
[3,1,6,5,4,8,2,7] => 1011010 => 0101101 => 1010010
[4,1,6,5,8,3,2,7] => 1010110 => 0110101 => 1001010
[5,1,6,8,4,3,2,7] => 1001110 => 0111001 => 1000110
[8,5,4,7,6,3,2,1] => 1101111 => 1111011 => 0000100
[2,7,1,5,4,3,8,6] => 0101101 => 1011010 => 0100101
[8,2,1,5,4,3,7,6] => 1101101 => 1011011 => 0100100
[8,4,1,5,7,3,2,6] => 1100110 => 0110011 => 1001100
[8,4,6,1,7,3,2,5] => 1010110 => 0110101 => 1001010
[8,3,6,1,4,7,2,5] => 1010010 => 0100101 => 1011010
[2,7,6,1,4,3,8,5] => 0110101 => 1010110 => 0101001
[6,7,8,5,1,3,2,4] => 0011010 => 0101100 => 1010011
[5,7,2,8,4,3,6,1] => 0101101 => 1011010 => 0100101
[6,7,8,2,4,3,5,1] => 0010101 => 1010100 => 0101011
[4,7,6,2,8,3,5,1] => 0110101 => 1010110 => 0101001
[8,3,6,2,4,7,5,1] => 1010011 => 1100101 => 0011010
[3,7,6,2,4,8,5,1] => 0110011 => 1100110 => 0011001
[5,7,3,8,4,6,2,1] => 0101011 => 1101010 => 0010101
[4,7,3,5,8,6,2,1] => 0100111 => 1110010 => 0001101
[8,7,2,1,4,3,6,5] => 1110101 => 1010111 => 0101000
[8,7,3,1,4,6,2,5] => 1110010 => 0100111 => 1011000
[8,7,6,3,2,5,4,1] => 1111011 => 1101111 => 0010000
[8,7,3,5,1,6,2,4] => 1101010 => 0101011 => 1010100
[8,7,2,5,1,3,6,4] => 1101001 => 1001011 => 0110100
[8,4,6,5,7,1,2,3] => 1010100 => 0010101 => 1101010
[4,7,6,5,8,1,2,3] => 0110100 => 0010110 => 1101001
[3,7,6,5,1,8,2,4] => 0111010 => 0101110 => 1010001
[8,1,2,3,4,5,6,7,9] => 10000000 => 00000001 => 11111110
[1,9,2,3,4,5,6,7,8] => 01000000 => 00000010 => 11111101
[9,1,2,3,4,5,6,7,8,10] => 100000000 => 000000001 => 111111110
[7,8,1,2,3,4,5,6,9] => 01000000 => 00000010 => 11111101
[1,8,9,2,3,4,5,6,7] => 00100000 => 00000100 => 11111011
[1,10,2,3,4,5,6,7,8,9] => 010000000 => 000000010 => 111111101
[10,1,2,3,4,5,6,7,8,9,11] => 1000000000 => 0000000001 => 1111111110
[8,9,1,2,3,4,5,6,7,10] => 010000000 => 000000010 => 111111101
[7,1,8,2,3,4,5,6,9] => 10100000 => 00000101 => 11111010
[6,8,1,2,3,4,5,7,9] => 01000000 => 00000010 => 11111101
[1,8,2,9,3,4,5,6,7] => 01010000 => 00001010 => 11110101
[1,7,9,2,3,4,5,6,8] => 00100000 => 00000100 => 11111011
[1,9,10,2,3,4,5,6,7,8] => 001000000 => 000000100 => 111111011
[1,11,2,3,4,5,6,7,8,9,10] => 0100000000 => 0000000010 => 1111111101
[3,6,4,8,7,5,1,2] => 0101110 => 0111010 => 1000101
[5,6,4,3,8,7,1,2] => 0110110 => 0110110 => 1001001
[1,6,2,4,7,8,5,3] => 0100011 => 1100010 => 0011101
[3,6,2,4,8,1,5,7] => 0100100 => 0010010 => 1101101
[3,4,7,2,8,1,6,5] => 0010101 => 1010100 => 0101011
[1,4,7,2,5,8,6,3] => 0010011 => 1100100 => 0011011
[7,3,8,4,5,6,1,2] => 1010010 => 0100101 => 1011010
[3,5,6,4,8,7,1,2] => 0010110 => 0110100 => 1001011
[4,6,8,5,3,7,1,2] => 0011010 => 0101100 => 1010011
[6,8,5,3,4,7,1,2] => 0110010 => 0100110 => 1011001
[1,6,5,4,2,8,7,3] => 0111011 => 1101110 => 0010001
[1,8,5,2,7,3,6,4] => 0110101 => 1010110 => 0101001
[4,2,7,5,1,8,6,3] => 1011011 => 1101101 => 0010010
[7,8,1,4,2,6,5,3] => 0101011 => 1101010 => 0010101
[1,3,6,4,8,2,5,7] => 0010100 => 0010100 => 1101011
[4,1,7,5,3,2,6,8] => 1011100 => 0011101 => 1100010
[6,5,1,3,4,2,8,7] => 1100101 => 1010011 => 0101100
[4,8,5,3,1,7,2,6] => 0111010 => 0101110 => 1010001
[7,4,5,3,2,8,1,6] => 1011010 => 0101101 => 1010010
[5,8,3,6,1,4,2,7] => 0101010 => 0101010 => 1010101
[2,5,8,6,4,1,3,7] => 0011100 => 0011100 => 1100011
[1,4,6,2,5,8,3,7] => 0010010 => 0100100 => 1011011
[3,6,2,5,8,1,7,4] => 0100101 => 1010010 => 0101101
[1,6,8,7,4,2,3,5] => 0011100 => 0011100 => 1100011
[6,1,7,8,2,4,3,5] => 1001010 => 0101001 => 1010110
[7,1,8,6,3,4,2,5] => 1011010 => 0101101 => 1010010
[7,2,1,4,5,6,8,3] => 1100001 => 1000011 => 0111100
[1,2,8,3,6,5,7,4] => 0010101 => 1010100 => 0101011
[6,1,3,2,7,5,8,4] => 1010101 => 1010101 => 0101010
[1,6,3,8,5,7,2,4] => 0101010 => 0101010 => 1010101
[2,6,4,1,7,5,8,3] => 0110101 => 1010110 => 0101001
[7,6,5,8,1,4,2,3] => 1101010 => 0101011 => 1010100
[5,8,6,7,3,2,1,4] => 0101110 => 0111010 => 1000101
[1,6,4,3,7,2,8,5] => 0110101 => 1010110 => 0101001
[2,6,3,4,8,7,1,5] => 0100110 => 0110010 => 1001101
[7,1,3,4,5,2,8,6] => 1000101 => 1010001 => 0101110
[1,8,3,5,4,2,7,6] => 0101101 => 1011010 => 0100101
[4,1,6,3,8,2,7,5] => 1010101 => 1010101 => 0101010
[7,8,2,4,6,3,1,5] => 0100110 => 0110010 => 1001101
[3,2,6,4,7,8,1,5] => 1010010 => 0100101 => 1011010
[2,8,5,7,4,3,1,6] => 0101110 => 0111010 => 1000101
[7,2,5,8,3,4,1,6] => 1001010 => 0101001 => 1010110
[5,3,8,7,1,2,6,4] => 1011001 => 1001101 => 0110010
[6,5,3,8,2,1,7,4] => 1101101 => 1011011 => 0100100
[7,5,8,4,1,2,3,6] => 1011000 => 0001101 => 1110010
[5,8,7,4,1,3,2,6] => 0111010 => 0101110 => 1010001
[3,5,7,8,4,1,2,6] => 0001100 => 0011000 => 1100111
[1,4,7,5,3,8,2,6] => 0011010 => 0101100 => 1010011
[2,4,6,7,3,1,8,5] => 0001101 => 1011000 => 0100111
[7,8,4,6,3,1,2,5] => 0101100 => 0011010 => 1100101
[2,6,4,5,3,8,1,7] => 0101010 => 0101010 => 1010101
[3,6,5,8,4,2,1,7] => 0101110 => 0111010 => 1000101
[5,6,8,4,2,3,1,7] => 0011010 => 0101100 => 1010011
[6,8,5,4,3,1,2,7] => 0111100 => 0011110 => 1100001
[6,1,4,2,8,5,7,3] => 1010101 => 1010101 => 0101010
[4,8,6,5,3,2,7,1] => 0111101 => 1011110 => 0100001
[8,6,5,1,2,4,7,3] => 1110001 => 1000111 => 0111000
[6,7,5,8,2,1,4,3] => 0101101 => 1011010 => 0100101
[1,7,5,8,2,6,4,3] => 0101011 => 1101010 => 0010101
[1,3,8,5,7,6,2,4] => 0010110 => 0110100 => 1001011
[6,3,8,5,7,1,2,4] => 1010100 => 0010101 => 1101010
[8,3,1,5,6,2,7,4] => 1100101 => 1010011 => 0101100
[6,8,5,2,1,4,7,3] => 0111001 => 1001110 => 0110001
[3,8,2,5,6,1,7,4] => 0100101 => 1010010 => 0101101
[2,8,1,5,6,3,7,4] => 0100101 => 1010010 => 0101101
[8,1,2,5,6,3,7,4] => 1000101 => 1010001 => 0101110
[1,8,2,5,7,6,3,4] => 0100110 => 0110010 => 1001101
[5,1,8,6,2,7,3,4] => 1011010 => 0101101 => 1010010
[2,5,8,6,1,7,3,4] => 0011010 => 0101100 => 1010011
[8,6,1,5,7,2,3,4] => 1100100 => 0010011 => 1101100
[3,8,6,5,7,1,2,4] => 0110100 => 0010110 => 1101001
[7,6,5,8,1,2,4,3] => 1101001 => 1001011 => 0110100
[5,1,7,6,8,4,2,3] => 1010110 => 0110101 => 1001010
[5,1,3,7,8,6,2,4] => 1000110 => 0110001 => 1001110
[7,2,5,8,1,6,4,3] => 1001011 => 1101001 => 0010110
[3,2,8,5,7,6,1,4] => 1010110 => 0110101 => 1001010
[8,2,1,5,7,6,3,4] => 1100110 => 0110011 => 1001100
[5,2,8,6,1,7,3,4] => 1011010 => 0101101 => 1010010
[1,2,8,6,5,7,3,4] => 0011010 => 0101100 => 1010011
[4,2,1,3,6,7,8,5] => 1100001 => 1000011 => 0111100
[8,2,5,6,3,7,1,4] => 1001010 => 0101001 => 1010110
[7,2,6,5,4,1,8,3] => 1011101 => 1011101 => 0100010
[6,1,3,5,4,7,8,2] => 1001001 => 1001001 => 0110110
[6,1,5,3,4,7,8,2] => 1010001 => 1000101 => 0111010
[7,5,6,2,4,1,8,3] => 1010101 => 1010101 => 0101010
[8,5,2,6,3,7,1,4] => 1101010 => 0101011 => 1010100
[4,3,1,2,6,7,8,5] => 1100001 => 1000011 => 0111100
[8,1,6,5,7,3,2,4] => 1010110 => 0110101 => 1001010
[3,5,8,6,2,7,1,4] => 0011010 => 0101100 => 1010011
[5,8,1,6,3,7,2,4] => 0101010 => 0101010 => 1010101
[1,8,5,6,3,7,2,4] => 0101010 => 0101010 => 1010101
[1,7,6,5,4,2,8,3] => 0111101 => 1011110 => 0100001
[5,7,6,1,4,2,8,3] => 0110101 => 1010110 => 0101001
[7,1,4,2,6,5,8,3] => 1010101 => 1010101 => 0101010
[4,1,7,3,5,6,8,2] => 1010001 => 1000101 => 0111010
[2,7,4,1,5,6,8,3] => 0110001 => 1000110 => 0111001
[5,7,6,4,1,2,8,3] => 0111001 => 1001110 => 0110001
[4,7,6,1,5,2,8,3] => 0110101 => 1010110 => 0101001
[1,7,6,4,5,2,8,3] => 0110101 => 1010110 => 0101001
[1,8,3,6,5,7,2,4] => 0101010 => 0101010 => 1010101
[3,8,1,6,5,7,2,4] => 0101010 => 0101010 => 1010101
[8,1,3,5,7,6,2,4] => 1000110 => 0110001 => 1001110
[7,8,5,4,1,6,2,3] => 0111010 => 0101110 => 1010001
[6,1,5,4,3,7,8,2] => 1011001 => 1001101 => 0110010
[7,5,6,4,2,1,8,3] => 1011101 => 1011101 => 0100010
[8,3,2,6,5,7,1,4] => 1101010 => 0101011 => 1010100
[7,4,6,2,5,1,8,3] => 1010101 => 1010101 => 0101010
[6,1,4,3,5,7,8,2] => 1010001 => 1000101 => 0111010
[6,1,3,4,5,7,8,2] => 1000001 => 1000001 => 0111110
[7,2,6,4,5,1,8,3] => 1010101 => 1010101 => 0101010
[8,2,3,6,5,7,1,4] => 1001010 => 0101001 => 1010110
[5,4,7,3,6,8,1,2] => 1010010 => 0100101 => 1011010
[3,4,7,8,5,6,1,2] => 0001010 => 0101000 => 1010111
[3,4,7,2,5,1,6,8] => 0010100 => 0010100 => 1101011
[1,4,7,2,5,8,3,6] => 0010010 => 0100100 => 1011011
[3,6,2,4,7,1,5,8] => 0100100 => 0010010 => 1101101
[6,8,3,4,5,7,1,2] => 0100010 => 0100010 => 1011101
[4,3,6,7,5,8,1,2] => 1001010 => 0101001 => 1010110
[6,3,7,5,8,4,1,2] => 1010110 => 0110101 => 1001010
[7,3,8,6,4,5,1,2] => 1011010 => 0101101 => 1010010
[3,2,7,6,5,1,4,8] => 1011100 => 0011101 => 1100010
[1,2,7,6,5,8,3,4] => 0011010 => 0101100 => 1010011
[4,8,2,6,1,5,3,7] => 0101010 => 0101010 => 1010101
[2,3,8,6,4,1,5,7] => 0011100 => 0011100 => 1100011
[4,3,6,2,5,1,8,7] => 1010101 => 1010101 => 0101010
[7,8,3,2,5,1,4,6] => 0110100 => 0010110 => 1101001
[7,8,1,2,5,6,3,4] => 0100010 => 0100010 => 1011101
[4,1,6,2,5,7,3,8] => 1010010 => 0100101 => 1011010
[6,1,2,5,8,7,3,4] => 1000110 => 0110001 => 1001110
[2,1,8,6,4,7,3,5] => 1011010 => 0101101 => 1010010
[7,1,3,6,8,4,2,5] => 1000110 => 0110001 => 1001110
[1,8,3,6,7,4,5,2] => 0100101 => 1010010 => 0101101
[7,1,5,8,3,6,2,4] => 1001010 => 0101001 => 1010110
[5,1,8,7,2,3,6,4] => 1011001 => 1001101 => 0110010
[6,1,5,7,4,2,8,3] => 1001101 => 1011001 => 0100110
[3,1,6,4,7,2,5,8] => 1010100 => 0010101 => 1101010
[2,4,7,5,1,8,3,6] => 0011010 => 0101100 => 1010011
[6,5,7,1,4,2,3,8] => 1010100 => 0010101 => 1101010
[5,6,8,1,3,2,4,7] => 0010100 => 0010100 => 1101011
[6,8,5,1,3,4,2,7] => 0110010 => 0100110 => 1011001
[2,8,3,4,5,1,7,6] => 0100101 => 1010010 => 0101101
[6,2,4,3,1,5,7,8] => 1011000 => 0001101 => 1110010
[4,2,8,3,1,7,5,6] => 1011010 => 0101101 => 1010010
[1,3,7,4,8,2,5,6] => 0010100 => 0010100 => 1101011
[5,3,7,4,1,6,2,8] => 1011010 => 0101101 => 1010010
[2,4,7,3,6,1,8,5] => 0010101 => 1010100 => 0101011
[5,8,7,6,3,1,2,4] => 0111100 => 0011110 => 1100001
[7,5,6,8,1,4,3,2] => 1001011 => 1101001 => 0010110
[2,4,7,1,6,5,3,8] => 0010110 => 0110100 => 1001011
[1,2,7,8,5,4,3,6] => 0001110 => 0111000 => 1000111
[6,3,1,2,8,4,5,7] => 1100100 => 0010011 => 1101100
[4,2,1,3,6,5,8,7] => 1100101 => 1010011 => 0101100
[2,8,1,4,5,6,3,7] => 0100010 => 0100010 => 1011101
[7,2,1,5,4,6,3,8] => 1101010 => 0101011 => 1010100
[4,2,6,1,8,5,3,7] => 1010110 => 0110101 => 1001010
[7,8,2,1,4,5,3,6] => 0110010 => 0100110 => 1011001
[7,8,4,1,5,3,6,2] => 0110101 => 1010110 => 0101001
[3,4,6,1,5,8,7,2] => 0010011 => 1100100 => 0011011
[7,5,1,6,4,3,8,2] => 1101101 => 1011011 => 0100100
[5,8,1,6,3,4,7,2] => 0101001 => 1001010 => 0110101
[6,5,1,8,2,7,4,3] => 1101011 => 1101011 => 0010100
[6,8,1,7,5,2,3,4] => 0101100 => 0011010 => 1100101
[7,6,1,8,5,3,2,4] => 1101110 => 0111011 => 1000100
[5,6,1,7,4,8,2,3] => 0101010 => 0101010 => 1010101
[3,6,1,5,7,4,2,8] => 0100110 => 0110010 => 1001101
[2,5,6,1,7,4,8,3] => 0010101 => 1010100 => 0101011
[3,1,7,5,6,4,8,2] => 1010101 => 1010101 => 0101010
[5,1,7,6,4,8,3,2] => 1011011 => 1101101 => 0010010
[6,1,7,8,5,3,4,2] => 1001101 => 1011001 => 0100110
[7,1,8,6,5,4,2,3] => 1011110 => 0111101 => 1000010
[2,6,5,7,3,4,8,1] => 0101001 => 1001010 => 0110101
[1,6,4,7,5,8,2,3] => 0101010 => 0101010 => 1010101
[8,5,3,6,2,7,4,1] => 1101011 => 1101011 => 0010100
[1,3,7,4,6,8,2,5] => 0010010 => 0100100 => 1011011
[4,7,5,6,3,2,8,1] => 0101101 => 1011010 => 0100101
[1,7,6,5,4,8,2,3] => 0111010 => 0101110 => 1010001
[8,1,6,5,7,2,4,3] => 1010101 => 1010101 => 0101010
[1,2,7,6,8,3,4,5] => 0010100 => 0010100 => 1101011
[6,1,7,5,3,8,2,4] => 1011010 => 0101101 => 1010010
[2,1,7,5,6,8,3,4] => 1010010 => 0100101 => 1011010
[5,4,1,7,6,8,2,3] => 1101010 => 0101011 => 1010100
[4,8,5,6,2,7,3,1] => 0101011 => 1101010 => 0010101
[3,8,6,4,2,7,5,1] => 0111011 => 1101110 => 0010001
[7,8,5,2,4,6,3,1] => 0110011 => 1100110 => 0011001
[2,8,6,3,7,4,5,1] => 0110101 => 1010110 => 0101001
[7,8,1,6,2,4,5,3] => 0101001 => 1001010 => 0110101
[6,8,1,4,7,2,5,3] => 0100101 => 1010010 => 0101101
[3,8,4,1,7,2,6,5] => 0110101 => 1010110 => 0101001
[5,4,7,1,8,3,2,6] => 1010110 => 0110101 => 1001010
[3,7,4,1,8,5,2,6] => 0110110 => 0110110 => 1001001
[6,7,1,4,8,3,2,5] => 0100110 => 0110010 => 1001101
[2,7,1,8,4,5,3,6] => 0101010 => 0101010 => 1010101
[6,1,2,8,4,3,5,7] => 1001100 => 0011001 => 1100110
[6,5,1,4,3,8,2,7] => 1101010 => 0101011 => 1010100
[1,6,2,5,8,3,4,7] => 0100100 => 0010010 => 1101101
[8,5,1,3,7,2,6,4] => 1100101 => 1010011 => 0101100
[8,4,2,1,7,3,6,5] => 1110101 => 1010111 => 0101000
[7,4,2,1,8,5,3,6] => 1110110 => 0110111 => 1001000
[1,5,4,2,8,3,6,7] => 0110100 => 0010110 => 1101001
[6,4,3,1,5,8,2,7] => 1110010 => 0100111 => 1011000
[3,7,6,8,4,5,2,1] => 0101011 => 1101010 => 0010101
[2,7,6,8,5,3,4,1] => 0101101 => 1011010 => 0100101
[1,7,6,8,5,4,2,3] => 0101110 => 0111010 => 1000101
[1,4,8,6,7,5,2,3] => 0010110 => 0110100 => 1001011
[2,4,8,6,7,3,5,1] => 0010101 => 1010100 => 0101011
[7,3,8,5,4,6,2,1] => 1011011 => 1101101 => 0010010
[3,4,8,5,6,7,2,1] => 0010011 => 1100100 => 0011011
[6,3,5,8,4,7,2,1] => 1001011 => 1101001 => 0010110
[5,4,3,8,6,7,2,1] => 1101011 => 1101011 => 0010100
[5,4,2,8,7,3,6,1] => 1101101 => 1011011 => 0100100
[6,2,5,8,7,3,4,1] => 1001101 => 1011001 => 0100110
[3,2,8,5,7,4,6,1] => 1010101 => 1010101 => 0101010
[1,3,8,7,5,6,2,4] => 0011010 => 0101100 => 1010011
[2,1,8,7,4,6,3,5] => 1011010 => 0101101 => 1010010
[3,1,8,5,7,6,2,4] => 1010110 => 0110101 => 1001010
[6,1,5,8,7,4,2,3] => 1001110 => 0111001 => 1000110
[5,4,1,8,7,6,2,3] => 1101110 => 0111011 => 1000100
[5,8,6,7,4,3,2,1] => 0101111 => 1111010 => 0000101
[4,8,7,5,6,3,2,1] => 0110111 => 1110110 => 0001001
[4,2,1,6,3,5,8,7] => 1101001 => 1001011 => 0110100
[6,2,1,4,3,5,8,7] => 1101001 => 1001011 => 0110100
[6,2,1,4,3,8,5,7] => 1101010 => 0101011 => 1010100
[8,2,1,4,3,6,5,7] => 1101010 => 0101011 => 1010100
[8,2,4,1,3,6,5,7] => 1010010 => 0100101 => 1011010
[6,2,4,1,3,8,5,7] => 1010010 => 0100101 => 1011010
[6,2,4,1,3,5,8,7] => 1010001 => 1000101 => 0111010
[4,2,6,1,3,5,8,7] => 1010001 => 1000101 => 0111010
[2,1,6,4,3,5,8,7] => 1011001 => 1001101 => 0110010
[2,6,1,4,3,5,8,7] => 0101001 => 1001010 => 0110101
[2,6,4,1,3,5,8,7] => 0110001 => 1000110 => 0111001
[4,6,2,1,3,5,8,7] => 0110001 => 1000110 => 0111001
[6,4,2,1,3,5,8,7] => 1110001 => 1000111 => 0111000
[8,4,2,1,3,6,5,7] => 1110010 => 0100111 => 1011000
[8,4,2,1,6,3,5,7] => 1110100 => 0010111 => 1101000
[6,4,2,1,8,3,5,7] => 1110100 => 0010111 => 1101000
[4,6,2,1,8,3,5,7] => 0110100 => 0010110 => 1101001
[2,6,1,4,3,8,5,7] => 0101010 => 0101010 => 1010101
[2,1,6,4,3,8,5,7] => 1011010 => 0101101 => 1010010
[2,1,8,4,3,6,5,7] => 1011010 => 0101101 => 1010010
[2,8,1,4,3,6,5,7] => 0101010 => 0101010 => 1010101
[2,8,4,1,3,6,5,7] => 0110010 => 0100110 => 1011001
[4,8,2,1,3,6,5,7] => 0110010 => 0100110 => 1011001
[4,8,2,1,6,3,5,7] => 0110100 => 0010110 => 1101001
[6,8,2,1,4,3,5,7] => 0110100 => 0010110 => 1101001
[8,6,2,1,4,3,5,7] => 1110100 => 0010111 => 1101000
[2,8,1,4,6,3,5,7] => 0100100 => 0010010 => 1101101
[2,1,8,4,6,3,5,7] => 1010100 => 0010101 => 1101010
[2,1,6,4,8,3,5,7] => 1010100 => 0010101 => 1101010
[2,6,1,4,8,3,5,7] => 0100100 => 0010010 => 1101101
[2,6,4,1,8,3,5,7] => 0110100 => 0010110 => 1101001
[2,6,4,8,1,3,5,7] => 0101000 => 0001010 => 1110101
[4,6,2,8,1,3,5,7] => 0101000 => 0001010 => 1110101
[4,2,6,1,3,8,5,7] => 1010010 => 0100101 => 1011010
[4,2,6,1,8,3,5,7] => 1010100 => 0010101 => 1101010
[6,2,4,1,8,3,5,7] => 1010100 => 0010101 => 1101010
[8,2,4,1,6,3,5,7] => 1010100 => 0010101 => 1101010
[8,2,1,4,6,3,5,7] => 1100100 => 0010011 => 1101100
[6,2,1,4,8,3,5,7] => 1100100 => 0010011 => 1101100
[4,2,1,6,8,3,5,7] => 1100100 => 0010011 => 1101100
[4,2,1,6,3,8,5,7] => 1101010 => 0101011 => 1010100
[4,2,1,3,6,8,5,7] => 1100010 => 0100011 => 1011100
[2,1,4,3,8,6,5,7] => 1010110 => 0110101 => 1001010
[2,4,1,3,8,6,5,7] => 0100110 => 0110010 => 1001101
[4,2,1,3,8,6,5,7] => 1100110 => 0110011 => 1001100
[4,2,1,8,3,6,5,7] => 1101010 => 0101011 => 1010100
[4,2,1,8,6,3,5,7] => 1101100 => 0011011 => 1100100
[6,2,1,8,4,3,5,7] => 1101100 => 0011011 => 1100100
[8,2,1,6,4,3,5,7] => 1101100 => 0011011 => 1100100
[8,2,6,1,4,3,5,7] => 1010100 => 0010101 => 1101010
[6,2,8,1,4,3,5,7] => 1010100 => 0010101 => 1101010
[4,2,8,1,6,3,5,7] => 1010100 => 0010101 => 1101010
[4,2,8,1,3,6,5,7] => 1010010 => 0100101 => 1011010
[2,4,8,1,3,6,5,7] => 0010010 => 0100100 => 1011011
[2,4,1,8,3,6,5,7] => 0101010 => 0101010 => 1010101
[2,1,4,8,3,6,5,7] => 1001010 => 0101001 => 1010110
[2,1,4,8,6,3,5,7] => 1001100 => 0011001 => 1100110
[2,4,8,1,6,3,5,7] => 0010100 => 0010100 => 1101011
[2,4,8,6,1,3,5,7] => 0011000 => 0001100 => 1110011
[4,2,8,6,1,3,5,7] => 1011000 => 0001101 => 1110010
[6,2,8,4,1,3,5,7] => 1011000 => 0001101 => 1110010
[8,2,6,4,1,3,5,7] => 1011000 => 0001101 => 1110010
[8,4,6,2,1,3,5,7] => 1011000 => 0001101 => 1110010
[6,4,8,2,1,3,5,7] => 1011000 => 0001101 => 1110010
[4,6,8,2,1,3,5,7] => 0011000 => 0001100 => 1110011
[2,6,8,4,1,3,5,7] => 0011000 => 0001100 => 1110011
[2,6,8,1,4,3,5,7] => 0010100 => 0010100 => 1101011
[2,6,1,8,4,3,5,7] => 0101100 => 0011010 => 1100101
[2,1,6,8,4,3,5,7] => 1001100 => 0011001 => 1100110
[2,1,8,6,4,3,5,7] => 1011100 => 0011101 => 1100010
[2,8,1,6,4,3,5,7] => 0101100 => 0011010 => 1100101
[2,8,6,4,1,3,5,7] => 0111000 => 0001110 => 1110001
[4,8,6,2,1,3,5,7] => 0111000 => 0001110 => 1110001
[6,8,4,2,1,3,5,7] => 0111000 => 0001110 => 1110001
[3,2,6,1,5,4,8,7] => 1010101 => 1010101 => 0101010
[5,2,4,3,8,1,7,6] => 1010101 => 1010101 => 0101010
[6,2,4,1,5,3,8,7] => 1010101 => 1010101 => 0101010
[4,3,6,1,5,2,8,7] => 1010101 => 1010101 => 0101010
[4,3,5,2,8,1,7,6] => 1010101 => 1010101 => 0101010
[4,3,7,2,6,5,8,1] => 1010101 => 1010101 => 0101010
[4,3,8,2,6,1,7,5] => 1010101 => 1010101 => 0101010
[4,3,8,1,7,2,6,5] => 1010101 => 1010101 => 0101010
[4,3,8,1,5,2,7,6] => 1010101 => 1010101 => 0101010
[5,1,8,3,4,2,7,6] => 1010101 => 1010101 => 0101010
[5,4,8,1,3,2,7,6] => 1010101 => 1010101 => 0101010
[2,1,5,4,8,3,7,6] => 1010101 => 1010101 => 0101010
[5,1,7,6,8,3,4,2] => 1010101 => 1010101 => 0101010
[4,3,7,6,8,1,5,2] => 1010101 => 1010101 => 0101010
[4,3,7,1,8,5,6,2] => 1010101 => 1010101 => 0101010
[4,3,6,5,8,1,7,2] => 1010101 => 1010101 => 0101010
[6,3,5,4,7,2,8,1] => 1010101 => 1010101 => 0101010
[6,3,5,4,8,1,7,2] => 1010101 => 1010101 => 0101010
[7,1,6,3,8,4,5,2] => 1010101 => 1010101 => 0101010
[7,4,6,5,8,1,3,2] => 1010101 => 1010101 => 0101010
[2,1,8,4,6,3,7,5] => 1010101 => 1010101 => 0101010
[8,4,6,1,3,2,7,5] => 1010101 => 1010101 => 0101010
[8,1,6,3,4,2,7,5] => 1010101 => 1010101 => 0101010
[8,1,6,3,7,2,5,4] => 1010101 => 1010101 => 0101010
[8,3,5,1,7,2,6,4] => 1010101 => 1010101 => 0101010
[8,3,5,2,6,1,7,4] => 1010101 => 1010101 => 0101010
[7,3,5,2,6,4,8,1] => 1010101 => 1010101 => 0101010
[8,2,6,3,5,1,7,4] => 1010101 => 1010101 => 0101010
[8,2,7,1,5,3,6,4] => 1010101 => 1010101 => 0101010
[8,2,4,1,5,3,7,6] => 1010101 => 1010101 => 0101010
[8,2,4,1,7,3,6,5] => 1010101 => 1010101 => 0101010
[8,2,4,3,6,1,7,5] => 1010101 => 1010101 => 0101010
[3,2,8,4,6,1,7,5] => 1010101 => 1010101 => 0101010
[3,2,8,1,5,4,7,6] => 1010101 => 1010101 => 0101010
[3,2,7,6,8,1,5,4] => 1010101 => 1010101 => 0101010
[3,2,7,1,8,5,6,4] => 1010101 => 1010101 => 0101010
[3,2,6,5,8,1,7,4] => 1010101 => 1010101 => 0101010
[6,5,7,2,4,3,8,1] => 1010101 => 1010101 => 0101010
[6,5,8,2,4,1,7,3] => 1010101 => 1010101 => 0101010
[7,2,4,1,8,5,6,3] => 1010101 => 1010101 => 0101010
[7,6,8,2,4,1,5,3] => 1010101 => 1010101 => 0101010
[7,6,8,1,5,2,4,3] => 1010101 => 1010101 => 0101010
[2,1,7,3,8,5,6,4] => 1010101 => 1010101 => 0101010
[7,1,3,2,8,5,6,4] => 1010101 => 1010101 => 0101010
[7,1,8,5,6,2,4,3] => 1010101 => 1010101 => 0101010
[7,1,8,2,6,4,5,3] => 1010101 => 1010101 => 0101010
[7,2,8,1,5,4,6,3] => 1010101 => 1010101 => 0101010
[6,2,7,4,5,3,8,1] => 1010101 => 1010101 => 0101010
[5,4,7,2,6,3,8,1] => 1010101 => 1010101 => 0101010
[5,4,8,2,6,1,7,3] => 1010101 => 1010101 => 0101010
[6,5,8,1,7,2,4,3] => 1010101 => 1010101 => 0101010
[2,1,6,5,8,3,7,4] => 1010101 => 1010101 => 0101010
[6,5,7,4,8,1,3,2] => 1010101 => 1010101 => 0101010
[6,5,7,1,8,3,4,2] => 1010101 => 1010101 => 0101010
[6,1,7,4,8,3,5,2] => 1010101 => 1010101 => 0101010
[5,4,7,1,8,3,6,2] => 1010101 => 1010101 => 0101010
[5,4,6,3,8,1,7,2] => 1010101 => 1010101 => 0101010
[2,1,4,3,6,5,8,7,11,12,10,9] => 10101010011 => 11001010101 => 00110101010
[2,1,4,3,6,5,9,10,8,7,12,11] => 10101001101 => 10110010101 => 01001101010
[2,1,4,3,6,5,9,11,8,12,10,7] => 10101001011 => 11010010101 => 00101101010
[2,1,4,3,6,5,10,11,12,9,8,7] => 10101000111 => 11100010101 => 00011101010
[2,1,4,3,7,8,6,5,10,9,12,11] => 10100110101 => 10101100101 => 01010011010
[2,1,4,3,7,8,6,5,11,12,10,9] => 10100110011 => 11001100101 => 00110011010
[2,1,4,3,7,9,6,10,8,5,12,11] => 10100101101 => 10110100101 => 01001011010
[2,1,4,3,7,9,6,11,8,12,10,5] => 10100101011 => 11010100101 => 00101011010
[2,1,4,3,7,10,6,11,12,9,8,5] => 10100100111 => 11100100101 => 00011011010
[2,1,4,3,8,9,10,7,6,5,12,11] => 10100011101 => 10111000101 => 01000111010
[2,1,4,3,8,9,11,7,6,12,10,5] => 10100011011 => 11011000101 => 00100111010
[2,1,4,3,8,10,11,7,12,9,6,5] => 10100010111 => 11101000101 => 00010111010
[2,1,4,3,9,10,11,12,8,7,6,5] => 10100001111 => 11110000101 => 00001111010
[2,1,5,6,4,3,8,7,10,9,12,11] => 10011010101 => 10101011001 => 01010100110
[2,1,5,6,4,3,8,7,11,12,10,9] => 10011010011 => 11001011001 => 00110100110
[2,1,5,6,4,3,9,10,8,7,12,11] => 10011001101 => 10110011001 => 01001100110
[2,1,5,6,4,3,9,11,8,12,10,7] => 10011001011 => 11010011001 => 00101100110
[2,1,5,6,4,3,10,11,12,9,8,7] => 10011000111 => 11100011001 => 00011100110
[2,1,5,7,4,8,6,3,10,9,12,11] => 10010110101 => 10101101001 => 01010010110
[2,1,5,7,4,8,6,3,11,12,10,9] => 10010110011 => 11001101001 => 00110010110
[2,1,5,7,4,9,6,10,8,3,12,11] => 10010101101 => 10110101001 => 01001010110
[2,1,5,7,4,9,6,11,8,12,10,3] => 10010101011 => 11010101001 => 00101010110
[2,1,5,7,4,10,6,11,12,9,8,3] => 10010100111 => 11100101001 => 00011010110
[2,1,5,8,4,9,10,7,6,3,12,11] => 10010011101 => 10111001001 => 01000110110
[2,1,5,8,4,9,11,7,6,12,10,3] => 10010011011 => 11011001001 => 00100110110
[2,1,5,8,4,10,11,7,12,9,6,3] => 10010010111 => 11101001001 => 00010110110
[2,1,5,9,4,10,11,12,8,7,6,3] => 10010001111 => 11110001001 => 00001110110
[2,1,6,7,8,5,4,3,10,9,12,11] => 10001110101 => 10101110001 => 01010001110
[2,1,6,7,8,5,4,3,11,12,10,9] => 10001110011 => 11001110001 => 00110001110
[2,1,6,7,9,5,4,10,8,3,12,11] => 10001101101 => 10110110001 => 01001001110
[2,1,6,7,9,5,4,11,8,12,10,3] => 10001101011 => 11010110001 => 00101001110
[2,1,6,7,10,5,4,11,12,9,8,3] => 10001100111 => 11100110001 => 00011001110
[2,1,6,8,9,5,10,7,4,3,12,11] => 10001011101 => 10111010001 => 01000101110
[2,1,6,8,9,5,11,7,4,12,10,3] => 10001011011 => 11011010001 => 00100101110
[2,1,6,8,10,5,11,7,12,9,4,3] => 10001010111 => 11101010001 => 00010101110
[2,1,6,9,10,5,11,12,8,7,4,3] => 10001001111 => 11110010001 => 00001101110
[2,1,7,8,9,10,6,5,4,3,12,11] => 10000111101 => 10111100001 => 01000011110
[2,1,7,8,9,11,6,5,4,12,10,3] => 10000111011 => 11011100001 => 00100011110
[2,1,7,8,10,11,6,5,12,9,4,3] => 10000110111 => 11101100001 => 00010011110
[2,1,7,9,10,11,6,12,8,5,4,3] => 10000101111 => 11110100001 => 00001011110
[2,1,8,9,10,11,12,7,6,5,4,3] => 10000011111 => 11111000001 => 00000111110
[3,4,2,1,6,5,8,7,10,9,12,11] => 01101010101 => 10101010110 => 01010101001
[3,4,2,1,6,5,8,7,11,12,10,9] => 01101010011 => 11001010110 => 00110101001
[3,4,2,1,6,5,9,10,8,7,12,11] => 01101001101 => 10110010110 => 01001101001
[3,4,2,1,6,5,9,11,8,12,10,7] => 01101001011 => 11010010110 => 00101101001
[3,4,2,1,6,5,10,11,12,9,8,7] => 01101000111 => 11100010110 => 00011101001
[3,4,2,1,7,8,6,5,10,9,12,11] => 01100110101 => 10101100110 => 01010011001
[3,4,2,1,7,8,6,5,11,12,10,9] => 01100110011 => 11001100110 => 00110011001
[3,4,2,1,7,9,6,10,8,5,12,11] => 01100101101 => 10110100110 => 01001011001
[3,4,2,1,7,9,6,11,8,12,10,5] => 01100101011 => 11010100110 => 00101011001
[3,4,2,1,7,10,6,11,12,9,8,5] => 01100100111 => 11100100110 => 00011011001
[3,4,2,1,8,9,10,7,6,5,12,11] => 01100011101 => 10111000110 => 01000111001
[3,4,2,1,8,9,11,7,6,12,10,5] => 01100011011 => 11011000110 => 00100111001
[3,4,2,1,8,10,11,7,12,9,6,5] => 01100010111 => 11101000110 => 00010111001
[3,4,2,1,9,10,11,12,8,7,6,5] => 01100001111 => 11110000110 => 00001111001
[3,5,2,6,4,1,8,7,10,9,12,11] => 01011010101 => 10101011010 => 01010100101
[3,5,2,6,4,1,8,7,11,12,10,9] => 01011010011 => 11001011010 => 00110100101
[3,5,2,6,4,1,9,10,8,7,12,11] => 01011001101 => 10110011010 => 01001100101
[3,5,2,6,4,1,9,11,8,12,10,7] => 01011001011 => 11010011010 => 00101100101
[3,5,2,6,4,1,10,11,12,9,8,7] => 01011000111 => 11100011010 => 00011100101
[3,5,2,7,4,8,6,1,10,9,12,11] => 01010110101 => 10101101010 => 01010010101
[3,5,2,7,4,8,6,1,11,12,10,9] => 01010110011 => 11001101010 => 00110010101
[3,5,2,7,4,9,6,10,8,1,12,11] => 01010101101 => 10110101010 => 01001010101
[3,5,2,7,4,9,6,11,8,12,10,1] => 01010101011 => 11010101010 => 00101010101
[3,5,2,7,4,10,6,11,12,9,8,1] => 01010100111 => 11100101010 => 00011010101
[3,5,2,8,4,9,10,7,6,1,12,11] => 01010011101 => 10111001010 => 01000110101
[3,5,2,8,4,9,11,7,6,12,10,1] => 01010011011 => 11011001010 => 00100110101
[3,5,2,8,4,10,11,7,12,9,6,1] => 01010010111 => 11101001010 => 00010110101
[3,5,2,9,4,10,11,12,8,7,6,1] => 01010001111 => 11110001010 => 00001110101
[3,6,2,7,8,5,4,1,10,9,12,11] => 01001110101 => 10101110010 => 01010001101
[3,6,2,7,8,5,4,1,11,12,10,9] => 01001110011 => 11001110010 => 00110001101
[3,6,2,7,9,5,4,10,8,1,12,11] => 01001101101 => 10110110010 => 01001001101
[3,6,2,7,9,5,4,11,8,12,10,1] => 01001101011 => 11010110010 => 00101001101
[3,6,2,7,10,5,4,11,12,9,8,1] => 01001100111 => 11100110010 => 00011001101
[3,6,2,8,9,5,10,7,4,1,12,11] => 01001011101 => 10111010010 => 01000101101
[3,6,2,8,9,5,11,7,4,12,10,1] => 01001011011 => 11011010010 => 00100101101
[3,6,2,8,10,5,11,7,12,9,4,1] => 01001010111 => 11101010010 => 00010101101
[3,6,2,9,10,5,11,12,8,7,4,1] => 01001001111 => 11110010010 => 00001101101
[3,7,2,8,9,10,6,5,4,1,12,11] => 01000111101 => 10111100010 => 01000011101
[3,7,2,8,9,11,6,5,4,12,10,1] => 01000111011 => 11011100010 => 00100011101
[3,7,2,8,10,11,6,5,12,9,4,1] => 01000110111 => 11101100010 => 00010011101
[3,7,2,9,10,11,6,12,8,5,4,1] => 01000101111 => 11110100010 => 00001011101
[3,8,2,9,10,11,12,7,6,5,4,1] => 01000011111 => 11111000010 => 00000111101
[4,5,6,3,2,1,8,7,10,9,12,11] => 00111010101 => 10101011100 => 01010100011
[4,5,6,3,2,1,8,7,11,12,10,9] => 00111010011 => 11001011100 => 00110100011
[4,5,6,3,2,1,9,10,8,7,12,11] => 00111001101 => 10110011100 => 01001100011
[4,5,6,3,2,1,9,11,8,12,10,7] => 00111001011 => 11010011100 => 00101100011
[4,5,6,3,2,1,10,11,12,9,8,7] => 00111000111 => 11100011100 => 00011100011
[4,5,7,3,2,8,6,1,10,9,12,11] => 00110110101 => 10101101100 => 01010010011
[4,5,7,3,2,8,6,1,11,12,10,9] => 00110110011 => 11001101100 => 00110010011
[4,5,7,3,2,9,6,10,8,1,12,11] => 00110101101 => 10110101100 => 01001010011
[4,5,7,3,2,9,6,11,8,12,10,1] => 00110101011 => 11010101100 => 00101010011
[4,5,7,3,2,10,6,11,12,9,8,1] => 00110100111 => 11100101100 => 00011010011
[4,5,8,3,2,9,10,7,6,1,12,11] => 00110011101 => 10111001100 => 01000110011
[4,5,8,3,2,9,11,7,6,12,10,1] => 00110011011 => 11011001100 => 00100110011
[4,5,8,3,2,10,11,7,12,9,6,1] => 00110010111 => 11101001100 => 00010110011
[4,5,9,3,2,10,11,12,8,7,6,1] => 00110001111 => 11110001100 => 00001110011
[4,6,7,3,8,5,2,1,10,9,12,11] => 00101110101 => 10101110100 => 01010001011
[4,6,7,3,8,5,2,1,11,12,10,9] => 00101110011 => 11001110100 => 00110001011
[4,6,7,3,9,5,2,10,8,1,12,11] => 00101101101 => 10110110100 => 01001001011
[4,6,7,3,9,5,2,11,8,12,10,1] => 00101101011 => 11010110100 => 00101001011
[4,6,7,3,10,5,2,11,12,9,8,1] => 00101100111 => 11100110100 => 00011001011
[4,6,8,3,9,5,10,7,2,1,12,11] => 00101011101 => 10111010100 => 01000101011
[4,6,8,3,9,5,11,7,2,12,10,1] => 00101011011 => 11011010100 => 00100101011
[4,6,8,3,10,5,11,7,12,9,2,1] => 00101010111 => 11101010100 => 00010101011
[4,6,9,3,10,5,11,12,8,7,2,1] => 00101001111 => 11110010100 => 00001101011
[4,7,8,3,9,10,6,5,2,1,12,11] => 00100111101 => 10111100100 => 01000011011
[4,7,8,3,9,11,6,5,2,12,10,1] => 00100111011 => 11011100100 => 00100011011
[4,7,8,3,10,11,6,5,12,9,2,1] => 00100110111 => 11101100100 => 00010011011
[4,7,9,3,10,11,6,12,8,5,2,1] => 00100101111 => 11110100100 => 00001011011
[4,8,9,3,10,11,12,7,6,5,2,1] => 00100011111 => 11111000100 => 00000111011
[5,6,7,8,4,3,2,1,10,9,12,11] => 00011110101 => 10101111000 => 01010000111
[5,6,7,8,4,3,2,1,11,12,10,9] => 00011110011 => 11001111000 => 00110000111
[5,6,7,9,4,3,2,10,8,1,12,11] => 00011101101 => 10110111000 => 01001000111
[5,6,7,9,4,3,2,11,8,12,10,1] => 00011101011 => 11010111000 => 00101000111
[5,6,7,10,4,3,2,11,12,9,8,1] => 00011100111 => 11100111000 => 00011000111
[5,6,8,9,4,3,10,7,2,1,12,11] => 00011011101 => 10111011000 => 01000100111
[5,6,8,9,4,3,11,7,2,12,10,1] => 00011011011 => 11011011000 => 00100100111
[5,6,8,10,4,3,11,7,12,9,2,1] => 00011010111 => 11101011000 => 00010100111
[5,6,9,10,4,3,11,12,8,7,2,1] => 00011001111 => 11110011000 => 00001100111
[5,7,8,9,4,10,6,3,2,1,12,11] => 00010111101 => 10111101000 => 01000010111
[5,7,8,9,4,11,6,3,2,12,10,1] => 00010111011 => 11011101000 => 00100010111
[5,7,8,10,4,11,6,3,12,9,2,1] => 00010110111 => 11101101000 => 00010010111
[5,7,9,10,4,11,6,12,8,3,2,1] => 00010101111 => 11110101000 => 00001010111
[5,8,9,10,4,11,12,7,6,3,2,1] => 00010011111 => 11111001000 => 00000110111
[6,7,8,9,10,5,4,3,2,1,12,11] => 00001111101 => 10111110000 => 01000001111
[6,7,8,9,11,5,4,3,2,12,10,1] => 00001111011 => 11011110000 => 00100001111
[6,7,8,10,11,5,4,3,12,9,2,1] => 00001110111 => 11101110000 => 00010001111
[6,7,9,10,11,5,4,12,8,3,2,1] => 00001101111 => 11110110000 => 00001001111
[6,8,9,10,11,5,12,7,4,3,2,1] => 00001011111 => 11111010000 => 00000101111
[7,8,9,10,11,12,6,5,4,3,2,1] => 00000111111 => 11111100000 => 00000011111
[2,8,3,1,5,4,6,7] => 0110100 => 0010110 => 1101001
[2,5,3,4,7,1,8,6] => 0100101 => 1010010 => 0101101
[2,4,8,3,5,7,6,1] => 0010011 => 1100100 => 0011011
[4,2,5,3,1,8,6,7] => 1011010 => 0101101 => 1010010
[4,2,1,8,5,3,6,7] => 1101100 => 0011011 => 1100100
[5,4,1,3,8,2,6,7] => 1100100 => 0010011 => 1101100
[5,1,4,8,3,2,6,7] => 1001100 => 0011001 => 1100110
[1,5,8,4,3,2,6,7] => 0011100 => 0011100 => 1100011
[1,8,5,4,3,2,6,7] => 0111100 => 0011110 => 1100001
[1,7,4,3,8,5,2,6] => 0110110 => 0110110 => 1001001
[1,5,7,3,8,4,2,6] => 0010110 => 0110100 => 1001011
[5,1,4,7,8,3,2,6] => 1000110 => 0110001 => 1001110
[4,8,1,5,7,3,6,2] => 0100101 => 1010010 => 0101101
[8,1,5,3,7,4,6,2] => 1010101 => 1010101 => 0101010
[3,8,4,7,6,5,2,1] => 0101111 => 1111010 => 0000101
[1,6,8,5,3,7,4,2] => 0011011 => 1101100 => 0010011
[6,8,1,7,4,3,5,2] => 0101101 => 1011010 => 0100101
[6,4,8,1,7,3,5,2] => 1010101 => 1010101 => 0101010
[6,4,8,7,1,5,2,3] => 1011010 => 0101101 => 1010010
[7,6,4,1,3,8,2,5] => 1110010 => 0100111 => 1011000
[1,7,5,6,3,2,8,4] => 0101101 => 1011010 => 0100101
[4,2,1,7,8,5,3,6] => 1100110 => 0110011 => 1001100
[2,7,4,6,3,1,8,5] => 0101101 => 1011010 => 0100101
[2,6,8,4,3,7,5,1] => 0011011 => 1101100 => 0010011
[6,2,4,8,3,7,5,1] => 1001011 => 1101001 => 0010110
[7,2,6,3,4,1,8,5] => 1010101 => 1010101 => 0101010
[2,6,7,3,1,4,8,5] => 0011001 => 1001100 => 0110011
[2,7,1,8,3,5,4,6] => 0101010 => 0101010 => 1010101
[2,1,7,3,5,8,4,6] => 1010010 => 0100101 => 1011010
[8,7,1,3,6,2,4,5] => 1100100 => 0010011 => 1101100
[8,2,1,7,3,5,6,4] => 1101001 => 1001011 => 0110100
[7,8,2,6,3,1,5,4] => 0101101 => 1011010 => 0100101
[8,7,2,6,3,5,4,1] => 1101011 => 1101011 => 0010100
[1,2,8,7,4,5,6,3] => 0011001 => 1001100 => 0110011
[8,3,7,1,5,6,2,4] => 1010010 => 0100101 => 1011010
[8,6,1,2,7,5,3,4] => 1100110 => 0110011 => 1001100
[8,1,6,2,7,4,5,3] => 1010101 => 1010101 => 0101010
[1,8,5,2,6,7,4,3] => 0110011 => 1100110 => 0011001
[5,2,1,8,6,7,4,3] => 1101011 => 1101011 => 0010100
[2,8,5,7,6,4,3,1] => 0101111 => 1111010 => 0000101
[1,7,8,5,2,6,4,3] => 0011011 => 1101100 => 0010011
[7,8,1,6,4,2,5,3] => 0101101 => 1011010 => 0100101
[7,8,6,1,5,3,2,4] => 0110110 => 0110110 => 1001001
[7,3,8,6,1,5,2,4] => 1011010 => 0101101 => 1010010
[8,7,6,1,5,3,4,2] => 1110101 => 1010111 => 0101000
[8,7,1,6,4,5,3,2] => 1101011 => 1101011 => 0010100
[8,1,7,5,6,4,3,2] => 1010111 => 1110101 => 0001010
[1,8,6,7,5,4,3,2] => 0101111 => 1111010 => 0000101
[6,3,5,2,1,4,8,7] => 1011001 => 1001101 => 0110010
[6,3,5,7,2,8,4,1] => 1001011 => 1101001 => 0010110
[8,5,2,7,4,3,1,6] => 1101110 => 0111011 => 1000100
[4,5,3,6,1,2,8,7] => 0101001 => 1001010 => 0110101
[3,5,1,4,6,2,8,7] => 0100101 => 1010010 => 0101101
[8,3,4,5,7,2,1,6] => 1000110 => 0110001 => 1001110
[5,7,4,6,3,8,2,1] => 0101011 => 1101010 => 0010101
[2,8,4,6,3,7,1,5] => 0101010 => 0101010 => 1010101
[8,1,4,7,3,6,2,5] => 1001010 => 0101001 => 1010110
[8,3,4,7,5,1,2,6] => 1001100 => 0011001 => 1100110
[8,5,1,4,7,3,2,6] => 1100110 => 0110011 => 1001100
[8,5,3,7,1,4,2,6] => 1101010 => 0101011 => 1010100
[2,1,8,5,7,4,3,6] => 1010110 => 0110101 => 1001010
[6,5,3,7,1,8,4,2] => 1101011 => 1101011 => 0010100
[6,5,1,4,7,8,3,2] => 1100011 => 1100011 => 0011100
[6,3,4,7,5,8,1,2] => 1001010 => 0101001 => 1010110
[5,1,4,6,8,3,7,2] => 1000101 => 1010001 => 0101110
[4,7,1,3,5,8,6,2] => 0100011 => 1100010 => 0011101
[4,8,3,7,1,2,6,5] => 0101001 => 1001010 => 0110101
[3,8,6,4,1,7,2,5] => 0111010 => 0101110 => 1010001
[3,8,1,2,5,7,6,4] => 0100011 => 1100010 => 0011101
[2,8,7,5,4,1,3,6] => 0111100 => 0011110 => 1100001
[8,7,2,6,4,1,3,5] => 1101100 => 0011011 => 1100100
[3,8,6,7,4,2,1,5] => 0101110 => 0111010 => 1000101
[5,7,6,8,4,2,3,1] => 0101101 => 1011010 => 0100101
[5,3,7,8,2,4,6,1] => 1001001 => 1001001 => 0110110
[8,3,6,2,1,4,7,5] => 1011001 => 1001101 => 0110010
[5,3,7,6,2,1,8,4] => 1011101 => 1011101 => 0100010
[5,3,6,2,8,7,1,4] => 1010110 => 0110101 => 1001010
[5,7,8,6,4,2,1,3] => 0011110 => 0111100 => 1000011
[2,6,7,5,4,8,1,3] => 0011010 => 0101100 => 1010011
[6,1,7,4,5,8,2,3] => 1010010 => 0100101 => 1011010
[6,7,3,5,1,8,2,4] => 0101010 => 0101010 => 1010101
[2,1,6,7,5,8,3,4] => 1001010 => 0101001 => 1010110
[2,1,5,7,3,6,8,4] => 1001001 => 1001001 => 0110110
[5,7,3,6,1,2,8,4] => 0101001 => 1001010 => 0110101
[4,1,7,2,5,6,8,3] => 1010001 => 1000101 => 0111010
[2,4,7,1,6,5,8,3] => 0010101 => 1010100 => 0101011
[4,6,2,1,8,7,5,3] => 0110111 => 1110110 => 0001001
[3,4,6,2,7,8,5,1] => 0010011 => 1100100 => 0011011
[4,6,1,2,5,8,7,3] => 0100011 => 1100010 => 0011101
[5,6,1,4,8,2,7,3] => 0100101 => 1010010 => 0101101
[5,6,3,1,8,7,2,4] => 0110110 => 0110110 => 1001001
[3,5,6,4,7,1,8,2] => 0010101 => 1010100 => 0101011
[3,4,6,1,5,7,8,2] => 0010001 => 1000100 => 0111011
[3,4,1,5,7,6,8,2] => 0100101 => 1010010 => 0101101
[3,8,2,7,1,6,5,4] => 0101011 => 1101010 => 0010101
[3,8,2,7,6,1,5,4] => 0101101 => 1011010 => 0100101
[3,8,2,7,6,5,1,4] => 0101110 => 0111010 => 1000101
[3,8,2,7,6,5,4,1] => 0101111 => 1111010 => 0000101
[4,8,7,2,6,5,3,1] => 0110111 => 1110110 => 0001001
[4,8,7,2,6,5,1,3] => 0110110 => 0110110 => 1001001
[4,8,7,2,6,1,5,3] => 0110101 => 1010110 => 0101001
[4,8,7,2,1,6,5,3] => 0111011 => 1101110 => 0010001
[4,8,7,3,1,6,5,2] => 0111011 => 1101110 => 0010001
[4,8,7,3,2,1,6,5] => 0111101 => 1011110 => 0100001
[4,8,7,3,2,6,1,5] => 0111010 => 0101110 => 1010001
[4,8,7,3,2,6,5,1] => 0111011 => 1101110 => 0010001
[4,8,7,3,6,2,5,1] => 0110101 => 1010110 => 0101001
[4,8,7,3,6,2,1,5] => 0110110 => 0110110 => 1001001
[4,8,7,3,6,1,5,2] => 0110101 => 1010110 => 0101001
[4,8,7,3,6,5,1,2] => 0110110 => 0110110 => 1001001
[4,8,7,3,6,5,2,1] => 0110111 => 1110110 => 0001001
[5,8,7,6,3,4,2,1] => 0111011 => 1101110 => 0010001
[5,8,7,6,3,1,4,2] => 0111101 => 1011110 => 0100001
[5,8,7,6,3,2,4,1] => 0111101 => 1011110 => 0100001
[5,8,7,6,2,4,3,1] => 0111011 => 1101110 => 0010001
[5,8,7,6,2,1,4,3] => 0111101 => 1011110 => 0100001
[5,8,7,6,4,2,3,1] => 0111101 => 1011110 => 0100001
[5,8,7,6,4,2,1,3] => 0111110 => 0111110 => 1000001
[5,8,7,6,4,1,3,2] => 0111101 => 1011110 => 0100001
[5,8,7,6,4,3,1,2] => 0111110 => 0111110 => 1000001
[7,3,4,2,1,6,5,8] => 1011010 => 0101101 => 1010010
[7,3,5,2,6,1,4,8] => 1010100 => 0010101 => 1101010
[7,3,5,2,6,4,1,8] => 1010110 => 0110101 => 1001010
[6,3,5,2,7,4,8,1] => 1010101 => 1010101 => 0101010
[7,2,1,5,6,4,3,8] => 1100110 => 0110011 => 1001100
[7,3,5,1,6,4,2,8] => 1010110 => 0110101 => 1001010
[7,4,5,6,1,3,2,8] => 1001010 => 0101001 => 1010110
[1,4,5,7,3,2,8,6] => 0001101 => 1011000 => 0100111
[1,4,6,7,3,8,2,5] => 0001010 => 0101000 => 1010111
[6,4,5,7,3,1,8,2] => 1001101 => 1011001 => 0100110
[6,4,5,7,1,3,8,2] => 1001001 => 1001001 => 0110110
[6,3,5,1,7,4,8,2] => 1010101 => 1010101 => 0101010
[6,2,1,5,7,4,8,3] => 1100101 => 1010011 => 0101100
[3,2,1,5,7,4,8,6] => 1100101 => 1010011 => 0101100
[2,4,6,7,3,8,1,5] => 0001010 => 0101000 => 1010111
[1,4,6,7,3,8,5,2] => 0001011 => 1101000 => 0010111
[1,5,6,7,8,3,4,2] => 0000101 => 1010000 => 0101111
[2,5,6,7,8,3,1,4] => 0000110 => 0110000 => 1001111
[3,2,1,6,7,8,4,5] => 1100010 => 0100011 => 1011100
[5,2,1,6,7,8,4,3] => 1100011 => 1100011 => 0011100
[5,3,6,1,7,8,4,2] => 1010011 => 1100101 => 0011010
[5,4,6,7,1,8,3,2] => 1001011 => 1101001 => 0010110
[1,5,6,7,8,3,2,4] => 0000110 => 0110000 => 1001111
[6,4,5,7,2,1,8,3] => 1001101 => 1011001 => 0100110
[5,4,6,7,2,8,3,1] => 1001011 => 1101001 => 0010110
[5,3,6,2,7,8,4,1] => 1010011 => 1100101 => 0011010
[5,3,6,2,7,8,1,4] => 1010010 => 0100101 => 1011010
[6,3,5,2,7,1,8,4] => 1010101 => 1010101 => 0101010
[6,3,4,2,1,7,8,5] => 1011001 => 1001101 => 0110010
[5,3,4,1,2,7,8,6] => 1010001 => 1000101 => 0111010
[4,3,6,2,7,8,1,5] => 1010010 => 0100101 => 1011010
[4,3,6,2,7,8,5,1] => 1010011 => 1100101 => 0011010
[1,3,6,2,7,8,5,4] => 0010011 => 1100100 => 0011011
[1,4,6,7,2,8,5,3] => 0001011 => 1101000 => 0010111
[3,4,6,7,2,8,5,1] => 0001011 => 1101000 => 0010111
[3,4,5,7,2,1,8,6] => 0001101 => 1011000 => 0100111
[4,2,1,5,7,3,8,6] => 1100101 => 1010011 => 0101100
[4,2,1,6,7,8,3,5] => 1100010 => 0100011 => 1011100
[4,3,6,1,7,8,2,5] => 1010010 => 0100101 => 1011010
[1,5,6,7,8,2,4,3] => 0000101 => 1010000 => 0101111
[1,5,6,7,8,4,2,3] => 0000110 => 0110000 => 1001111
[3,4,6,7,1,8,5,2] => 0001011 => 1101000 => 0010111
[4,3,6,1,7,8,5,2] => 1010011 => 1100101 => 0011010
[4,2,1,6,7,8,5,3] => 1100011 => 1100011 => 0011100
[2,3,6,1,7,8,5,4] => 0010011 => 1100100 => 0011011
[2,4,6,7,1,8,5,3] => 0001011 => 1101000 => 0010111
[2,5,6,7,8,1,4,3] => 0000101 => 1010000 => 0101111
[2,1,4,3,6,5,8,7,9] => 10101010 => 01010101 => 10101010
[2,4,1,3,6,5,8,7,9] => 01001010 => 01010010 => 10101101
[2,4,1,6,3,5,8,7,9] => 01010010 => 01001010 => 10110101
[2,4,1,6,3,8,5,7,9] => 01010100 => 00101010 => 11010101
[2,4,1,6,3,7,5,9,8] => 01010101 => 10101010 => 01010101
[2,4,1,5,3,7,6,9,8] => 01010101 => 10101010 => 01010101
[2,3,1,5,4,7,6,9,8] => 01010101 => 10101010 => 01010101
[1,3,2,5,4,7,6,9,8] => 01010101 => 10101010 => 01010101
[2,4,1,3,6,5,8,7,10,9] => 010010101 => 101010010 => 010101101
[2,4,6,1,3,5,8,7,9] => 00100010 => 01000100 => 10111011
[2,4,1,6,3,5,8,7,10,9] => 010100101 => 101001010 => 010110101
[2,4,1,6,8,3,5,7,9] => 01001000 => 00010010 => 11101101
[2,4,1,6,3,8,5,7,10,9] => 010101001 => 100101010 => 011010101
[2,4,1,6,3,8,9,5,7] => 01010010 => 01001010 => 10110101
[2,4,1,6,3,8,5,10,7,9] => 010101010 => 010101010 => 101010101
[2,4,1,6,3,7,5,8,9] => 01010100 => 00101010 => 11010101
[2,4,1,6,3,8,5,9,7,10] => 010101010 => 010101010 => 101010101
[2,4,1,5,3,8,6,9,7] => 01010101 => 10101010 => 01010101
[2,4,1,6,3,7,5,9,8,10] => 010101010 => 010101010 => 101010101
[2,3,1,6,4,7,5,9,8] => 01010101 => 10101010 => 01010101
[2,4,1,5,3,7,6,9,8,10] => 010101010 => 010101010 => 101010101
[1,4,2,5,3,7,6,9,8] => 01010101 => 10101010 => 01010101
[2,3,1,5,4,7,6,9,8,10] => 010101010 => 010101010 => 101010101
[1,3,2,5,4,7,6,9,8,10] => 010101010 => 010101010 => 101010101
[7,1,2,3,4,5,6,8,9] => 10000000 => 00000001 => 11111110
[1,4,3,6,2,5,7,8] => 0101000 => 0001010 => 1110101
[1,4,3,7,2,5,6,8] => 0101000 => 0001010 => 1110101
[1,4,3,7,6,8,2,5] => 0101010 => 0101010 => 1010101
[1,4,3,7,5,8,2,6] => 0101010 => 0101010 => 1010101
[1,4,3,7,2,6,5,8] => 0101010 => 0101010 => 1010101
[1,5,3,7,4,8,2,6] => 0101010 => 0101010 => 1010101
[1,3,2,6,5,8,4,7] => 0101010 => 0101010 => 1010101
[1,5,4,8,2,6,3,7] => 0101010 => 0101010 => 1010101
[1,5,4,8,3,7,2,6] => 0101010 => 0101010 => 1010101
[1,2,3,6,5,8,4,7] => 0001010 => 0101000 => 1010111
[6,8,2,4,5,7,1,3] => 0100010 => 0100010 => 1011101
[3,7,8,4,5,2,6,1] => 0010101 => 1010100 => 0101011
[7,8,1,4,5,3,6,2] => 0100101 => 1010010 => 0101101
[3,8,7,4,1,6,5,2] => 0111011 => 1101110 => 0010001
[4,8,3,6,1,5,7,2] => 0101001 => 1001010 => 0110101
[5,8,3,1,6,4,7,2] => 0110101 => 1010110 => 0101001
[5,8,1,4,7,6,3,2] => 0100111 => 1110010 => 0001101
[7,5,1,8,6,2,4,3] => 1101101 => 1011011 => 0100100
[7,4,1,8,2,6,3,5] => 1101010 => 0101011 => 1010100
[7,1,8,4,2,6,3,5] => 1011010 => 0101101 => 1010010
[1,6,3,8,5,2,4,7] => 0101100 => 0011010 => 1100101
[6,1,3,8,5,2,4,7] => 1001100 => 0011001 => 1100110
[7,1,8,3,6,2,5,4] => 1010101 => 1010101 => 0101010
[7,3,1,8,4,2,6,5] => 1101101 => 1011011 => 0100100
[7,2,8,4,1,6,5,3] => 1011011 => 1101101 => 0010010
[7,2,8,3,6,5,1,4] => 1010110 => 0110101 => 1001010
[7,2,8,3,6,1,5,4] => 1010101 => 1010101 => 0101010
[7,1,8,2,3,6,5,4] => 1010011 => 1100101 => 0011010
[6,1,2,8,3,5,4,7] => 1001010 => 0101001 => 1010110
[1,5,2,3,8,4,7,6] => 0100101 => 1010010 => 0101101
[5,1,2,3,8,4,7,6] => 1000101 => 1010001 => 0101110
[5,2,3,8,1,4,7,6] => 1001001 => 1001001 => 0110110
[6,2,8,1,3,5,4,7] => 1010010 => 0100101 => 1011010
[6,2,4,1,8,7,3,5] => 1010110 => 0110101 => 1001010
[6,3,1,4,2,8,5,7] => 1101010 => 0101011 => 1010100
[3,1,6,4,2,8,5,7] => 1011010 => 0101101 => 1010010
[2,6,3,8,7,1,5,4] => 0101101 => 1011010 => 0100101
[2,6,3,8,5,1,4,7] => 0101100 => 0011010 => 1100101
[2,5,1,8,3,4,7,6] => 0101001 => 1001010 => 0110101
[2,5,1,3,8,4,7,6] => 0100101 => 1010010 => 0101101
[1,2,5,3,8,4,7,6] => 0010101 => 1010100 => 0101011
[1,2,4,8,3,7,6,5] => 0001011 => 1101000 => 0010111
[2,4,8,1,3,7,6,5] => 0010011 => 1100100 => 0011011
[2,4,8,3,7,1,6,5] => 0010101 => 1010100 => 0101011
[2,4,8,3,7,6,1,5] => 0010110 => 0110100 => 1001011
[2,5,3,8,1,7,4,6] => 0101010 => 0101010 => 1010101
[2,5,4,1,3,8,7,6] => 0110011 => 1100110 => 0011001
[3,1,5,4,8,2,7,6] => 1010101 => 1010101 => 0101010
[5,3,1,4,8,2,7,6] => 1100101 => 1010011 => 0101100
[5,2,3,8,4,7,1,6] => 1001010 => 0101001 => 1010110
[4,8,2,3,7,6,1,5] => 0100110 => 0110010 => 1001101
[4,8,2,3,7,1,6,5] => 0100101 => 1010010 => 0101101
[4,8,1,2,3,7,6,5] => 0100011 => 1100010 => 0011101
[1,4,8,2,3,7,6,5] => 0010011 => 1100100 => 0011011
[1,4,8,3,7,2,6,5] => 0010101 => 1010100 => 0101011
[6,3,8,1,5,2,4,7] => 1010100 => 0010101 => 1101010
[5,3,8,1,2,4,7,6] => 1010001 => 1000101 => 0111010
[5,1,3,8,2,4,7,6] => 1001001 => 1001001 => 0110110
[1,5,3,8,2,4,7,6] => 0101001 => 1001010 => 0110101
[1,5,4,8,2,7,6,3] => 0101011 => 1101010 => 0010101
[5,1,4,8,2,7,6,3] => 1001011 => 1101001 => 0010110
[5,4,8,1,2,7,6,3] => 1010011 => 1100101 => 0011010
[6,5,1,2,8,7,4,3] => 1100111 => 1110011 => 0001100
[5,3,1,6,4,2,8,7] => 1101101 => 1011011 => 0100100
[5,1,6,2,8,7,4,3] => 1010111 => 1110101 => 0001010
[4,1,5,8,2,7,6,3] => 1001011 => 1101001 => 0010110
[4,1,2,5,8,7,6,3] => 1000111 => 1110001 => 0001110
[1,4,2,5,8,7,6,3] => 0100111 => 1110010 => 0001101
[1,3,5,2,8,7,4,6] => 0010110 => 0110100 => 1001011
[3,5,1,2,8,7,4,6] => 0100110 => 0110010 => 1001101
[3,6,2,8,7,5,1,4] => 0101110 => 0111010 => 1000101
[4,2,6,1,8,7,3,5] => 1010110 => 0110101 => 1001010
[4,3,1,5,8,2,7,6] => 1100101 => 1010011 => 0101100
[3,5,2,8,7,1,4,6] => 0101100 => 0011010 => 1100101
[3,4,8,7,2,6,1,5] => 0011010 => 0101100 => 1010011
[3,4,8,7,1,2,6,5] => 0011001 => 1001100 => 0110011
[3,4,8,1,7,2,6,5] => 0010101 => 1010100 => 0101011
[1,3,4,8,7,2,6,5] => 0001101 => 1011000 => 0100111
[1,3,4,8,2,7,6,5] => 0001011 => 1101000 => 0010111
[3,4,8,1,2,7,6,5] => 0010011 => 1100100 => 0011011
[3,4,8,2,7,1,6,5] => 0010101 => 1010100 => 0101011
[3,4,8,2,7,6,1,5] => 0010110 => 0110100 => 1001011
[4,2,5,8,1,7,6,3] => 1001011 => 1101001 => 0010110
[4,3,1,2,5,8,7,6] => 1100011 => 1100011 => 0011100
[3,1,4,2,5,8,7,6] => 1010011 => 1100101 => 0011010
[2,3,5,1,8,7,6,4] => 0010111 => 1110100 => 0001011
[7,8,2,1,5,3,6,4] => 0110101 => 1010110 => 0101001
[6,4,1,2,7,3,5,8] => 1100100 => 0010011 => 1101100
[2,3,7,5,4,1,8,6] => 0011101 => 1011100 => 0100011
[6,3,1,5,4,2,7,8] => 1101100 => 0011011 => 1100100
[7,8,1,5,4,2,6,3] => 0101101 => 1011010 => 0100101
[7,8,3,5,4,1,6,2] => 0101101 => 1011010 => 0100101
[7,8,2,5,4,1,3,6] => 0101100 => 0011010 => 1100101
[7,8,2,5,4,6,1,3] => 0101010 => 0101010 => 1010101
[6,2,1,5,4,7,3,8] => 1101010 => 0101011 => 1010100
[5,3,6,1,4,7,8,2] => 1010001 => 1000101 => 0111010
[5,3,6,2,4,7,1,8] => 1010010 => 0100101 => 1011010
[6,4,2,1,7,3,8,5] => 1110101 => 1010111 => 0101000
[4,3,7,5,8,6,1,2] => 1010110 => 0110101 => 1001010
[4,2,7,1,8,3,6,5] => 1010101 => 1010101 => 0101010
[3,2,6,7,4,8,1,5] => 1001010 => 0101001 => 1010110
[3,1,6,7,4,8,5,2] => 1001011 => 1101001 => 0010110
[1,7,6,5,3,8,4,2] => 0111011 => 1101110 => 0010001
[2,7,6,5,3,8,1,4] => 0111010 => 0101110 => 1010001
[1,7,6,5,2,4,8,3] => 0111001 => 1001110 => 0110001
[2,7,6,5,3,1,4,8] => 0111100 => 0011110 => 1100001
[2,7,1,4,8,3,5,6] => 0100100 => 0010010 => 1101101
[3,7,6,4,8,5,1,2] => 0110110 => 0110110 => 1001001
[5,7,6,3,8,4,1,2] => 0110110 => 0110110 => 1001001
[5,1,6,2,4,8,3,7] => 1010010 => 0100101 => 1011010
[4,7,6,5,2,1,3,8] => 0111100 => 0011110 => 1100001
[4,7,6,5,2,8,1,3] => 0111010 => 0101110 => 1010001
[4,7,6,5,1,8,3,2] => 0111011 => 1101110 => 0010001
[1,7,6,5,2,8,3,4] => 0111010 => 0101110 => 1010001
[1,7,6,5,3,2,8,4] => 0111101 => 1011110 => 0100001
[4,7,6,5,1,2,8,3] => 0111001 => 1001110 => 0110001
[4,7,6,5,3,1,8,2] => 0111101 => 1011110 => 0100001
[6,1,3,5,4,8,7,2] => 1001011 => 1101001 => 0010110
[5,2,6,3,4,1,7,8] => 1010100 => 0010101 => 1101010
[5,1,6,2,4,7,8,3] => 1010001 => 1000101 => 0111010
[1,2,6,3,4,8,7,5] => 0010011 => 1100100 => 0011011
[1,7,2,4,8,3,6,5] => 0100101 => 1010010 => 0101101
[6,1,4,2,8,3,5,7] => 1010100 => 0010101 => 1101010
[4,1,8,2,6,3,5,7] => 1010100 => 0010101 => 1101010
[4,7,2,1,5,3,6,8] => 0110100 => 0010110 => 1101001
[4,7,1,6,2,3,8,5] => 0101001 => 1001010 => 0110101
[1,7,2,6,8,3,5,4] => 0100101 => 1010010 => 0101101
[1,2,6,7,4,8,5,3] => 0001011 => 1101000 => 0010111
[3,1,6,7,4,2,8,5] => 1001101 => 1011001 => 0100110
[3,2,8,5,4,6,1,7] => 1011010 => 0101101 => 1010010
[4,7,6,3,5,8,1,2] => 0110010 => 0100110 => 1011001
[4,7,1,2,5,3,8,6] => 0100101 => 1010010 => 0101101
[3,7,6,5,2,4,1,8] => 0111010 => 0101110 => 1010001
[3,7,6,5,1,4,8,2] => 0111001 => 1001110 => 0110001
[3,7,6,5,2,1,8,4] => 0111101 => 1011110 => 0100001
[1,7,6,5,8,2,4,3] => 0110101 => 1010110 => 0101001
[3,7,6,5,8,1,4,2] => 0110101 => 1010110 => 0101001
[3,7,6,5,1,2,4,8] => 0111000 => 0001110 => 1110001
[3,1,6,8,4,2,5,7] => 1001100 => 0011001 => 1100110
[4,7,6,8,3,5,1,2] => 0101010 => 0101010 => 1010101
[2,7,6,5,1,4,3,8] => 0111010 => 0101110 => 1010001
[2,7,6,5,8,1,3,4] => 0110100 => 0010110 => 1101001
[2,7,6,5,8,4,1,3] => 0110110 => 0110110 => 1001001
[6,3,2,1,7,4,8,5] => 1110101 => 1010111 => 0101000
[4,2,1,7,3,5,8,6] => 1101001 => 1001011 => 0110100
[7,3,1,5,4,2,8,6] => 1101101 => 1011011 => 0100100
[8,4,1,5,2,7,6,3] => 1101011 => 1101011 => 0010100
[8,2,5,1,3,7,6,4] => 1010011 => 1100101 => 0011010
[4,3,7,2,1,5,8,6] => 1011001 => 1001101 => 0110010
[4,7,2,5,3,1,8,6] => 0101101 => 1011010 => 0100101
[2,7,5,4,1,3,8,6] => 0111001 => 1001110 => 0110001
[7,5,4,3,2,1,8,6] => 1111101 => 1011111 => 0100000
[6,5,2,1,8,4,3,7] => 1110110 => 0110111 => 1001000
[4,6,3,2,8,1,5,7] => 0110100 => 0010110 => 1101001
[5,7,4,3,2,8,1,6] => 0111010 => 0101110 => 1010001
[1,7,6,2,4,8,3,5] => 0110010 => 0100110 => 1011001
[2,7,3,6,4,8,1,5] => 0101010 => 0101010 => 1010101
[6,2,7,5,3,8,1,4] => 1011010 => 0101101 => 1010010
[7,1,8,5,3,6,4,2] => 1011011 => 1101101 => 0010010
[5,8,3,2,7,1,6,4] => 0110101 => 1010110 => 0101001
[8,7,3,1,6,5,4,2] => 1110111 => 1110111 => 0001000
[8,7,2,6,1,5,4,3] => 1101011 => 1101011 => 0010100
[1,8,5,7,4,3,6,2] => 0101101 => 1011010 => 0100101
[1,8,5,7,2,4,6,3] => 0101001 => 1001010 => 0110101
[3,8,6,1,7,2,5,4] => 0110101 => 1010110 => 0101001
[7,2,8,5,6,1,4,3] => 1010101 => 1010101 => 0101010
[6,3,7,5,8,2,1,4] => 1010110 => 0110101 => 1001010
[3,7,2,6,8,4,1,5] => 0100110 => 0110010 => 1001101
[3,6,5,8,1,4,2,7] => 0101010 => 0101010 => 1010101
[2,6,5,8,4,1,3,7] => 0101100 => 0011010 => 1100101
[6,5,4,8,3,2,1,7] => 1101110 => 0111011 => 1000100
[8,4,3,7,2,1,6,5] => 1101101 => 1011011 => 0100100
[8,2,4,7,1,3,6,5] => 1001001 => 1001001 => 0110110
[6,2,5,8,1,4,3,7] => 1001010 => 0101001 => 1010110
[4,3,6,8,2,1,5,7] => 1001100 => 0011001 => 1100110
[6,3,5,1,8,4,2,7] => 1010110 => 0110101 => 1001010
[8,4,1,5,7,3,6,2] => 1100101 => 1010011 => 0101100
[6,4,2,5,8,3,1,7] => 1100110 => 0110011 => 1001100
[5,4,1,6,8,2,3,7] => 1100100 => 0010011 => 1101100
[6,3,7,4,8,5,2,1] => 1010111 => 1110101 => 0001010
[4,7,2,5,8,6,3,1] => 0100111 => 1110010 => 0001101
[6,3,1,8,4,7,5,2] => 1101011 => 1101011 => 0010100
[6,5,3,8,7,4,1,2] => 1101110 => 0111011 => 1000100
[5,4,8,1,7,6,2,3] => 1010110 => 0110101 => 1001010
[5,2,8,1,7,3,6,4] => 1010101 => 1010101 => 0101010
[5,7,3,8,1,6,4,2] => 0101011 => 1101010 => 0010101
[6,4,7,8,1,5,3,2] => 1001011 => 1101001 => 0010110
[2,5,8,7,1,3,6,4] => 0011001 => 1001100 => 0110011
[5,3,8,7,2,1,6,4] => 1011101 => 1011101 => 0100010
[8,3,7,6,1,5,4,2] => 1011011 => 1101101 => 0010010
[8,2,7,6,5,1,4,3] => 1011101 => 1011101 => 0100010
[4,3,8,7,6,2,1,5] => 1011110 => 0111101 => 1000010
[2,4,8,7,6,1,3,5] => 0011100 => 0011100 => 1100011
[3,5,8,7,2,6,1,4] => 0011010 => 0101100 => 1010011
[4,7,3,8,6,5,1,2] => 0101110 => 0111010 => 1000101
[7,5,8,6,4,3,2,1] => 1011111 => 1111101 => 0000010
[5,8,7,3,6,4,2,1] => 0110111 => 1110110 => 0001001
[4,8,7,6,2,5,3,1] => 0111011 => 1101110 => 0010001
[3,8,7,6,5,1,4,2] => 0111101 => 1011110 => 0100001
[2,8,7,6,5,4,1,3] => 0111110 => 0111110 => 1000001
[3,4,1,2,5,6,7,8,9] => 01000000 => 00000010 => 11111101
[3,2,1,4,5,6,7,8,9] => 11000000 => 00000011 => 11111100
[4,5,6,1,2,3,7,8,9] => 00100000 => 00000100 => 11111011
[4,2,5,1,3,6,7,8,9] => 10100000 => 00000101 => 11111010
[4,3,2,1,5,6,7,8,9] => 11100000 => 00000111 => 11111000
[5,6,7,8,1,2,3,4,9] => 00010000 => 00001000 => 11110111
[5,2,6,7,1,3,4,8,9] => 10010000 => 00001001 => 11110110
[5,6,3,4,1,2,7,8,9] => 01010000 => 00001010 => 11110101
[5,3,2,6,1,4,7,8,9] => 11010000 => 00001011 => 11110100
[5,4,3,2,1,6,7,8,9] => 11110000 => 00001111 => 11110000
[6,2,7,8,9,1,3,4,5] => 10001000 => 00010001 => 11101110
[6,7,3,4,8,1,2,5,9] => 01001000 => 00010010 => 11101101
[6,3,2,7,8,1,4,5,9] => 11001000 => 00010011 => 11101100
[6,4,7,2,5,1,3,8,9] => 10101000 => 00010101 => 11101010
[6,4,3,2,7,1,5,8,9] => 11101000 => 00010111 => 11101000
[6,5,4,3,2,1,7,8,9] => 11111000 => 00011111 => 11100000
[7,4,8,2,5,9,1,3,6] => 10100100 => 00100101 => 11011010
[7,4,3,2,8,9,1,5,6] => 11100100 => 00100111 => 11011000
[7,8,5,6,3,4,1,2,9] => 01010100 => 00101010 => 11010101
[7,5,3,8,2,6,1,4,9] => 11010100 => 00101011 => 11010100
[7,5,4,3,2,8,1,6,9] => 11110100 => 00101111 => 11010000
[7,6,5,4,3,2,1,8,9] => 11111100 => 00111111 => 11000000
[8,6,9,4,7,2,5,1,3] => 10101010 => 01010101 => 10101010
[8,6,4,3,9,2,7,1,5] => 11101010 => 01010111 => 10101000
[8,6,5,4,3,2,9,1,7] => 11111010 => 01011111 => 10100000
[3,4,1,2,5,6,7,8,9,10] => 010000000 => 000000010 => 111111101
[3,2,1,4,5,6,7,8,9,10] => 110000000 => 000000011 => 111111100
[4,5,6,1,2,3,7,8,9,10] => 001000000 => 000000100 => 111111011
[4,2,5,1,3,6,7,8,9,10] => 101000000 => 000000101 => 111111010
[4,3,2,1,5,6,7,8,9,10] => 111000000 => 000000111 => 111111000
[5,6,7,8,1,2,3,4,9,10] => 000100000 => 000001000 => 111110111
[5,2,6,7,1,3,4,8,9,10] => 100100000 => 000001001 => 111110110
[5,6,3,4,1,2,7,8,9,10] => 010100000 => 000001010 => 111110101
[5,3,2,6,1,4,7,8,9,10] => 110100000 => 000001011 => 111110100
[5,4,3,2,1,6,7,8,9,10] => 111100000 => 000001111 => 111110000
[6,2,7,8,9,1,3,4,5,10] => 100010000 => 000010001 => 111101110
[6,7,3,4,8,1,2,5,9,10] => 010010000 => 000010010 => 111101101
[6,3,2,7,8,1,4,5,9,10] => 110010000 => 000010011 => 111101100
[6,4,7,2,5,1,3,8,9,10] => 101010000 => 000010101 => 111101010
[6,4,3,2,7,1,5,8,9,10] => 111010000 => 000010111 => 111101000
[6,5,4,3,2,1,7,8,9,10] => 111110000 => 000011111 => 111100000
[7,8,3,4,9,10,1,2,5,6] => 010001000 => 000100010 => 111011101
[7,8,9,4,5,6,1,2,3,10] => 001001000 => 000100100 => 111011011
[7,4,3,2,8,9,1,5,6,10] => 111001000 => 000100111 => 111011000
[7,8,5,6,3,4,1,2,9,10] => 010101000 => 000101010 => 111010101
[7,5,3,8,2,6,1,4,9,10] => 110101000 => 000101011 => 111010100
[7,5,4,3,2,8,1,6,9,10] => 111101000 => 000101111 => 111010000
[7,6,5,4,3,2,1,8,9,10] => 111111000 => 000111111 => 111000000
[8,5,9,10,2,6,7,1,3,4] => 100100100 => 001001001 => 110110110
[8,5,3,9,2,6,10,1,4,7] => 110100100 => 001001011 => 110110100
[8,6,9,4,7,2,5,1,3,10] => 101010100 => 001010101 => 110101010
[8,6,4,3,9,2,7,1,5,10] => 111010100 => 001010111 => 110101000
[8,6,5,4,3,2,9,1,7,10] => 111110100 => 001011111 => 110100000
[8,7,6,5,4,3,2,1,9,10] => 111111100 => 001111111 => 110000000
[9,7,5,4,3,10,2,8,1,6] => 111101010 => 010101111 => 101010000
[3,6,5,1,2,4,8,7] => 0110001 => 1000110 => 0111001
[3,7,5,8,2,4,1,6] => 0101010 => 0101010 => 1010101
[3,8,5,7,2,4,1,6] => 0101010 => 0101010 => 1010101
[5,1,7,8,4,3,2,6] => 1001110 => 0111001 => 1000110
[5,1,2,6,4,3,8,7] => 1001101 => 1011001 => 0100110
[6,1,2,5,4,3,8,7] => 1001101 => 1011001 => 0100110
[5,1,2,4,6,3,8,7] => 1000101 => 1010001 => 0101110
[4,1,2,6,5,3,8,7] => 1001101 => 1011001 => 0100110
[4,1,5,7,8,3,2,6] => 1000110 => 0110001 => 1001110
[4,1,5,8,7,3,2,6] => 1001110 => 0111001 => 1000110
[4,7,1,8,3,6,2,5] => 0101010 => 0101010 => 1010101
[4,1,7,8,5,2,3,6] => 1001100 => 0011001 => 1100110
[5,1,7,4,8,2,3,6] => 1010100 => 0010101 => 1101010
[7,5,3,8,1,4,2,6] => 1101010 => 0101011 => 1010100
[2,1,5,8,7,3,4,6] => 1001100 => 0011001 => 1100110
[5,1,8,4,7,2,3,6] => 1010100 => 0010101 => 1101010
[4,1,8,7,5,2,3,6] => 1011100 => 0011101 => 1100010
[4,7,1,6,3,2,8,5] => 0101101 => 1011010 => 0100101
[6,1,2,3,7,5,8,4] => 1000101 => 1010001 => 0101110
[7,1,2,3,8,6,5,4] => 1000111 => 1110001 => 0001110
[7,1,2,3,5,8,6,4] => 1000011 => 1100001 => 0011110
[6,8,1,4,3,7,2,5] => 0101010 => 0101010 => 1010101
[8,7,3,2,4,1,6,5] => 1110101 => 1010111 => 0101000
[2,1,7,3,4,8,6,5] => 1010011 => 1100101 => 0011010
[7,8,3,2,4,1,6,5] => 0110101 => 1010110 => 0101001
[6,7,1,4,3,8,2,5] => 0101010 => 0101010 => 1010101
[8,1,2,3,5,7,6,4] => 1000011 => 1100001 => 0011110
[8,1,2,3,6,7,5,4] => 1000011 => 1100001 => 0011110
[7,1,2,3,6,8,5,4] => 1000011 => 1100001 => 0011110
[7,1,2,3,8,5,6,4] => 1000101 => 1010001 => 0101110
[8,1,2,3,7,5,6,4] => 1000101 => 1010001 => 0101110
[8,1,2,3,6,5,7,4] => 1000101 => 1010001 => 0101110
[7,1,8,5,4,3,2,6] => 1011110 => 0111101 => 1000010
[7,8,2,6,3,4,1,5] => 0101010 => 0101010 => 1010101
[6,8,2,7,3,4,1,5] => 0101010 => 0101010 => 1010101
[6,7,2,8,3,4,1,5] => 0101010 => 0101010 => 1010101
[3,8,7,1,4,2,6,5] => 0110101 => 1010110 => 0101001
[3,7,8,1,4,2,6,5] => 0010101 => 1010100 => 0101011
[3,6,8,1,4,2,7,5] => 0010101 => 1010100 => 0101011
[3,5,7,8,2,4,1,6] => 0001010 => 0101000 => 1010111
[3,6,7,1,4,2,8,5] => 0010101 => 1010100 => 0101011
[7,6,2,8,3,1,4,5] => 1101100 => 0011011 => 1100100
[8,6,2,7,3,1,4,5] => 1101100 => 0011011 => 1100100
[8,1,7,5,4,3,2,6] => 1011110 => 0111101 => 1000010
[8,1,7,4,5,3,2,6] => 1010110 => 0110101 => 1001010
[5,8,3,7,1,4,2,6] => 0101010 => 0101010 => 1010101
[2,1,7,3,4,6,8,5] => 1010001 => 1000101 => 0111010
[6,7,3,2,4,1,8,5] => 0110101 => 1010110 => 0101001
[8,7,2,4,3,6,1,5] => 1101010 => 0101011 => 1010100
[7,1,2,3,5,6,8,4] => 1000001 => 1000001 => 0111110
[6,1,2,3,8,7,4,5] => 1000110 => 0110001 => 1001110
[5,1,2,3,7,8,6,4] => 1000011 => 1100001 => 0011110
[5,1,2,3,8,7,6,4] => 1000111 => 1110001 => 0001110
[5,1,2,3,8,6,7,4] => 1000101 => 1010001 => 0101110
[6,1,2,3,5,8,7,4] => 1000011 => 1100001 => 0011110
[8,6,2,4,3,1,7,5] => 1101101 => 1011011 => 0100100
[7,6,3,2,4,8,1,5] => 1110010 => 0100111 => 1011000
[2,1,6,3,4,8,7,5] => 1010011 => 1100101 => 0011010
[8,6,3,2,4,7,1,5] => 1110010 => 0100111 => 1011000
[7,6,2,4,3,1,8,5] => 1101101 => 1011011 => 0100100
[6,1,2,3,5,7,8,4] => 1000001 => 1000001 => 0111110
[5,1,2,3,6,8,7,4] => 1000011 => 1100001 => 0011110
[7,8,1,2,6,3,5,4] => 0100101 => 1010010 => 0101101
[1,4,8,2,7,3,5,6] => 0010100 => 0010100 => 1101011
[1,2,8,5,4,7,3,6] => 0011010 => 0101100 => 1010011
[1,3,8,5,4,2,7,6] => 0011101 => 1011100 => 0100011
[2,3,6,8,4,7,1,5] => 0001010 => 0101000 => 1010111
[1,3,6,8,4,7,5,2] => 0001011 => 1101000 => 0010111
[2,4,8,1,7,3,6,5] => 0010101 => 1010100 => 0101011
[3,4,8,5,7,6,1,2] => 0010110 => 0110100 => 1001011
[1,2,6,8,4,5,7,3] => 0001001 => 1001000 => 0110111
[7,5,1,2,4,3,6,8] => 1100100 => 0010011 => 1101100
[7,4,6,1,5,2,3,8] => 1010100 => 0010101 => 1101010
[7,1,4,2,6,3,5,8] => 1010100 => 0010101 => 1101010
[6,8,1,4,7,2,3,5] => 0100100 => 0010010 => 1101101
[1,6,4,2,8,3,5,7] => 0110100 => 0010110 => 1101001
[1,6,3,8,5,4,2,7] => 0101110 => 0111010 => 1000101
[6,8,1,7,3,5,4,2] => 0101011 => 1101010 => 0010101
[7,1,3,6,5,4,2,8] => 1001110 => 0111001 => 1000110
[7,3,1,6,5,4,2,8] => 1101110 => 0111011 => 1000100
[7,2,1,4,6,3,5,8] => 1100100 => 0010011 => 1101100
[7,2,3,6,5,1,4,8] => 1001100 => 0011001 => 1100110
[7,1,2,3,6,5,4,8] => 1000110 => 0110001 => 1001110
[6,8,1,2,7,3,5,4] => 0100101 => 1010010 => 0101101
[1,6,2,3,8,5,4,7] => 0100110 => 0110010 => 1001101
[1,5,8,2,7,6,3,4] => 0010110 => 0110100 => 1001011
[5,1,8,2,7,6,3,4] => 1010110 => 0110101 => 1001010
[5,8,2,7,6,3,4,1] => 0101101 => 1011010 => 0100101
[6,2,8,1,7,3,5,4] => 1010101 => 1010101 => 0101010
[6,8,2,1,7,4,3,5] => 0110110 => 0110110 => 1001001
[3,6,4,1,2,8,5,7] => 0110010 => 0100110 => 1011001
[2,1,6,3,8,5,4,7] => 1010110 => 0110101 => 1001010
[2,5,1,8,7,6,3,4] => 0101110 => 0111010 => 1000101
[2,5,3,8,7,4,6,1] => 0101101 => 1011010 => 0100101
[1,2,5,3,8,7,4,6] => 0010110 => 0110100 => 1001011
[2,4,8,7,6,5,1,3] => 0011110 => 0111100 => 1000011
[2,5,3,8,7,1,6,4] => 0101101 => 1011010 => 0100101
[2,5,8,4,1,7,6,3] => 0011011 => 1101100 => 0010011
[3,5,8,7,1,4,2,6] => 0011010 => 0101100 => 1010011
[5,3,8,4,1,7,6,2] => 1011011 => 1101101 => 0010010
[4,2,8,7,6,3,5,1] => 1011101 => 1011101 => 0100010
[4,2,8,7,6,5,3,1] => 1011111 => 1111101 => 0000010
[4,1,8,7,6,5,3,2] => 1011111 => 1111101 => 0000010
[4,3,8,7,6,5,1,2] => 1011110 => 0111101 => 1000010
[6,3,1,8,7,2,5,4] => 1101101 => 1011011 => 0100100
[5,8,3,7,6,1,4,2] => 0101101 => 1011010 => 0100101
[5,1,3,8,7,6,2,4] => 1001110 => 0111001 => 1000110
[1,5,3,8,7,6,2,4] => 0101110 => 0111010 => 1000101
[1,5,8,4,7,2,6,3] => 0010101 => 1010100 => 0101011
[5,1,8,4,7,2,6,3] => 1010101 => 1010101 => 0101010
[5,8,7,4,6,1,2,3] => 0110100 => 0010110 => 1101001
[6,8,5,1,2,4,7,3] => 0110001 => 1000110 => 0111001
[5,6,3,1,2,4,8,7] => 0110001 => 1000110 => 0111001
[5,6,2,4,3,1,8,7] => 0101101 => 1011010 => 0100101
[5,6,1,2,4,3,8,7] => 0100101 => 1010010 => 0101101
[4,5,8,1,7,2,3,6] => 0010100 => 0010100 => 1101011
[4,5,8,1,7,2,6,3] => 0010101 => 1010100 => 0101011
[1,3,2,5,8,7,4,6] => 0100110 => 0110010 => 1001101
[3,5,1,8,7,4,6,2] => 0101101 => 1011010 => 0100101
[3,5,1,8,7,2,6,4] => 0101101 => 1011010 => 0100101
[4,3,6,1,2,8,5,7] => 1010010 => 0100101 => 1011010
[4,5,8,3,1,7,2,6] => 0011010 => 0101100 => 1010011
[4,5,2,8,7,1,3,6] => 0101100 => 0011010 => 1100101
[3,2,5,8,7,1,6,4] => 1001101 => 1011001 => 0100110
[3,4,8,7,6,2,1,5] => 0011110 => 0111100 => 1000011
[3,1,4,8,7,6,2,5] => 1001110 => 0111001 => 1000110
[3,4,8,7,6,5,1,2] => 0011110 => 0111100 => 1000011
[1,3,4,8,7,6,2,5] => 0001110 => 0111000 => 1000111
[3,4,8,7,6,2,5,1] => 0011101 => 1011100 => 0100011
[3,2,5,8,7,4,6,1] => 1001101 => 1011001 => 0100110
[4,5,8,3,1,7,6,2] => 0011011 => 1101100 => 0010011
[2,1,3,5,8,7,4,6] => 1000110 => 0110001 => 1001110
[1,2,7,5,8,6,4,3] => 0010111 => 1110100 => 0001011
[7,1,4,8,2,6,5,3] => 1001011 => 1101001 => 0010110
[6,8,1,3,7,5,2,4] => 0100110 => 0110010 => 1001101
[3,7,8,1,2,6,5,4] => 0010011 => 1100100 => 0011011
[1,3,7,8,2,6,5,4] => 0001011 => 1101000 => 0010111
[2,3,7,8,1,6,5,4] => 0001011 => 1101000 => 0010111
[2,7,8,1,3,6,5,4] => 0010011 => 1100100 => 0011011
[8,1,2,6,7,3,5,4] => 1000101 => 1010001 => 0101110
[8,1,2,6,7,5,3,4] => 1000110 => 0110001 => 1001110
[8,2,5,7,1,3,6,4] => 1001001 => 1001001 => 0110110
[2,8,1,6,7,3,5,4] => 0100101 => 1010010 => 0101101
[2,6,8,3,7,1,5,4] => 0010101 => 1010100 => 0101011
[2,8,6,4,7,1,5,3] => 0110101 => 1010110 => 0101001
[6,8,3,4,1,7,5,2] => 0101011 => 1101010 => 0010101
[6,8,3,7,4,1,5,2] => 0101101 => 1011010 => 0100101
[2,6,8,3,7,5,1,4] => 0010110 => 0110100 => 1001011
[2,8,1,6,7,5,3,4] => 0100110 => 0110010 => 1001101
[8,2,5,7,1,6,3,4] => 1001010 => 0101001 => 1010110
[8,4,7,2,3,6,1,5] => 1010010 => 0100101 => 1011010
[8,5,7,4,2,6,1,3] => 1011010 => 0101101 => 1010010
[8,3,5,7,4,1,6,2] => 1001101 => 1011001 => 0100110
[8,5,2,4,7,1,6,3] => 1100101 => 1010011 => 0101100
[8,2,3,5,7,1,6,4] => 1000101 => 1010001 => 0101110
[8,2,4,7,3,6,1,5] => 1001010 => 0101001 => 1010110
[8,2,7,1,4,6,3,5] => 1010010 => 0100101 => 1011010
[8,7,1,2,4,6,3,5] => 1100010 => 0100011 => 1011100
[8,7,1,4,6,2,3,5] => 1100100 => 0010011 => 1101100
[8,4,7,1,3,6,2,5] => 1010010 => 0100101 => 1011010
[1,6,8,3,7,2,5,4] => 0010101 => 1010100 => 0101011
[8,3,5,7,1,2,6,4] => 1001001 => 1001001 => 0110110
[5,8,7,1,3,6,2,4] => 0110010 => 0100110 => 1011001
[8,5,4,7,1,6,2,3] => 1101010 => 0101011 => 1010100
[8,5,4,7,1,2,6,3] => 1101001 => 1001011 => 0110100
[8,5,1,4,7,2,6,3] => 1100101 => 1010011 => 0101100
[1,4,6,8,2,7,5,3] => 0001011 => 1101000 => 0010111
[1,6,5,8,2,7,4,3] => 0101011 => 1101010 => 0010101
[8,5,6,3,1,7,4,2] => 1011011 => 1101101 => 0010010
[5,6,2,8,1,7,4,3] => 0101011 => 1101010 => 0010101
[1,8,4,5,7,2,6,3] => 0100101 => 1010010 => 0101101
[5,8,7,3,6,1,2,4] => 0110100 => 0010110 => 1101001
[8,3,5,7,1,6,2,4] => 1001010 => 0101001 => 1010110
[1,6,8,3,7,5,2,4] => 0010110 => 0110100 => 1001011
[6,3,8,2,7,5,1,4] => 1010110 => 0110101 => 1001010
[6,8,4,2,7,1,5,3] => 0110101 => 1010110 => 0101001
[8,6,4,7,3,1,5,2] => 1101101 => 1011011 => 0100100
[8,4,5,7,3,1,6,2] => 1001101 => 1011001 => 0100110
[8,4,2,5,7,1,6,3] => 1100101 => 1010011 => 0101100
[8,3,4,7,2,6,1,5] => 1001010 => 0101001 => 1010110
[8,7,1,3,4,6,2,5] => 1100010 => 0100011 => 1011100
[8,3,7,2,4,6,1,5] => 1010010 => 0100101 => 1011010
[2,8,4,5,7,1,6,3] => 0100101 => 1010010 => 0101101
[8,7,3,4,5,1,6,2] => 1100101 => 1010011 => 0101100
[8,7,4,5,2,6,1,3] => 1101010 => 0101011 => 1010100
[5,8,7,2,3,6,1,4] => 0110010 => 0100110 => 1011001
[8,7,2,3,4,6,1,5] => 1100010 => 0100011 => 1011100
[8,7,2,3,6,1,4,5] => 1100100 => 0010011 => 1101100
[1,3,2,8,5,4,7,6] => 0101101 => 1011010 => 0100101
[4,2,8,5,3,7,1,6] => 1011010 => 0101101 => 1010010
[5,2,1,8,4,3,7,6] => 1101101 => 1011011 => 0100100
[6,2,8,4,3,7,5,1] => 1011011 => 1101101 => 0010010
[7,2,8,4,3,1,6,5] => 1011101 => 1011101 => 0100010
[7,3,4,8,2,1,6,5] => 1001101 => 1011001 => 0100110
[6,3,4,8,2,7,5,1] => 1001011 => 1101001 => 0010110
[5,3,4,1,8,2,7,6] => 1010101 => 1010101 => 0101010
[8,1,4,5,2,3,7,6] => 1001001 => 1001001 => 0110110
[8,1,5,4,3,2,7,6] => 1011101 => 1011101 => 0100010
[3,5,4,2,8,1,7,6] => 0110101 => 1010110 => 0101001
[4,5,3,2,8,7,1,6] => 0110110 => 0110110 => 1001001
[6,4,3,2,8,7,5,1] => 1110111 => 1110111 => 0001000
[6,5,3,2,1,7,8,4] => 1111001 => 1001111 => 0110000
[5,6,3,2,7,8,4,1] => 0110011 => 1100110 => 0011001
[4,1,6,3,2,7,8,5] => 1011001 => 1001101 => 0110010
[3,6,4,2,7,8,1,5] => 0110010 => 0100110 => 1011001
[8,1,6,4,3,7,2,5] => 1011010 => 0101101 => 1010010
[8,1,7,4,3,6,5,2] => 1011011 => 1101101 => 0010010
[2,7,4,1,3,6,5,8] => 0110010 => 0100110 => 1011001
[3,7,4,2,6,1,5,8] => 0110100 => 0010110 => 1101001
[4,1,7,3,2,6,5,8] => 1011010 => 0101101 => 1010010
[5,7,3,2,6,4,8,1] => 0110101 => 1010110 => 0101001
[6,7,3,2,5,4,1,8] => 0110110 => 0110110 => 1001001
[7,6,3,2,1,5,4,8] => 1111010 => 0101111 => 1010000
[4,7,5,6,2,3,8,1] => 0101001 => 1001010 => 0110101
[3,1,7,5,6,2,4,8] => 1010100 => 0010101 => 1101010
[2,7,5,6,1,3,4,8] => 0101000 => 0001010 => 1110101
[2,6,5,7,1,3,8,4] => 0101001 => 1001010 => 0110101
[4,6,5,7,2,8,1,3] => 0101010 => 0101010 => 1010101
[5,6,4,7,2,8,3,1] => 0101011 => 1101010 => 0010101
[6,5,4,1,7,2,8,3] => 1110101 => 1010111 => 0101000
[7,5,4,6,2,1,8,3] => 1101101 => 1011011 => 0100100
[6,4,5,7,1,8,2,3] => 1001010 => 0101001 => 1010110
[5,4,6,1,7,8,2,3] => 1010010 => 0100101 => 1011010
[8,1,5,6,7,2,3,4] => 1000100 => 0010001 => 1101110
[2,1,4,6,8,7,3,5] => 1000110 => 0110001 => 1001110
[3,4,6,8,7,1,2,5] => 0001100 => 0011000 => 1100111
[4,3,1,6,8,7,2,5] => 1100110 => 0110011 => 1001100
[5,3,6,8,7,2,4,1] => 1001101 => 1011001 => 0100110
[6,3,5,1,8,7,2,4] => 1010110 => 0110101 => 1001010
[7,3,5,8,6,2,1,4] => 1001110 => 0111001 => 1000110
[7,2,8,5,6,3,1,4] => 1010110 => 0110101 => 1001010
[6,2,8,5,1,7,3,4] => 1011010 => 0101101 => 1010010
[4,2,1,8,6,7,3,5] => 1101010 => 0101011 => 1010100
[1,3,2,8,6,7,4,5] => 0101010 => 0101010 => 1010101
[2,3,8,6,7,1,4,5] => 0010100 => 0010100 => 1101011
[8,1,3,2,6,7,4,5] => 1010010 => 0100101 => 1011010
[2,3,8,7,1,6,5,4] => 0011011 => 1101100 => 0010011
[4,2,8,7,6,1,5,3] => 1011101 => 1011101 => 0100010
[5,2,8,7,6,4,1,3] => 1011110 => 0111101 => 1000010
[7,2,1,8,6,5,4,3] => 1101111 => 1111011 => 0000100
[7,3,6,1,8,5,4,2] => 1010111 => 1110101 => 0001010
[6,3,7,8,5,4,2,1] => 1001111 => 1111001 => 0000110
[5,3,7,8,6,4,1,2] => 1001110 => 0111001 => 1000110
[4,3,1,7,8,6,5,2] => 1100111 => 1110011 => 0001100
[3,4,7,8,6,1,5,2] => 0001101 => 1011000 => 0100111
[8,1,5,7,6,2,4,3] => 1001101 => 1011001 => 0100110
[3,5,7,6,8,1,4,2] => 0010101 => 1010100 => 0101011
[4,5,7,6,8,3,1,2] => 0010110 => 0110100 => 1001011
[5,4,1,7,6,8,3,2] => 1101011 => 1101011 => 0010100
[6,4,7,5,8,3,2,1] => 1010111 => 1110101 => 0001010
[7,4,6,5,1,8,3,2] => 1011011 => 1101101 => 0010010
[7,5,6,4,3,1,8,2] => 1011101 => 1011101 => 0100010
[6,5,1,7,4,3,8,2] => 1101101 => 1011011 => 0100100
[4,6,7,5,3,8,1,2] => 0011010 => 0101100 => 1010011
[3,6,7,5,1,4,8,2] => 0011001 => 1001100 => 0110011
[8,1,6,7,5,4,2,3] => 1001110 => 0111001 => 1000110
[8,1,7,6,5,4,3,2] => 1011111 => 1111101 => 0000010
[2,7,6,1,5,4,3,8] => 0110110 => 0110110 => 1001001
[3,7,6,5,1,4,2,8] => 0111010 => 0101110 => 1010001
[4,7,6,5,3,1,2,8] => 0111100 => 0011110 => 1100001
[8,6,4,3,1,5,7,2] => 1111001 => 1001111 => 0110000
[8,6,4,1,5,2,7,3] => 1110101 => 1010111 => 0101000
[8,6,5,1,3,2,7,4] => 1110101 => 1010111 => 0101000
[8,6,3,1,7,2,4,5] => 1110100 => 0010111 => 1101000
[8,7,3,1,5,2,4,6] => 1110100 => 0010111 => 1101000
[5,3,1,7,2,4,6,8] => 1101000 => 0001011 => 1110100
[8,7,1,2,4,5,3,6] => 1100010 => 0100011 => 1011100
[8,6,1,2,4,7,3,5] => 1100010 => 0100011 => 1011100
[8,5,1,2,6,7,3,4] => 1100010 => 0100011 => 1011100
[8,5,1,6,4,2,7,3] => 1101101 => 1011011 => 0100100
[8,5,1,3,6,4,7,2] => 1100101 => 1010011 => 0101100
[8,6,1,5,3,4,7,2] => 1101001 => 1001011 => 0110100
[8,6,1,5,2,4,7,3] => 1101001 => 1001011 => 0110100
[8,6,1,2,5,7,3,4] => 1100010 => 0100011 => 1011100
[8,6,1,2,7,4,3,5] => 1100110 => 0110011 => 1001100
[8,7,1,2,5,4,3,6] => 1100110 => 0110011 => 1001100
[5,1,4,2,3,8,6,7] => 1010010 => 0100101 => 1011010
[5,1,4,2,7,3,6,8] => 1010100 => 0010101 => 1101010
[7,1,5,8,2,6,3,4] => 1001010 => 0101001 => 1010110
[5,7,8,1,2,4,6,3] => 0010001 => 1000100 => 0111011
[5,7,8,1,3,4,6,2] => 0010001 => 1000100 => 0111011
[5,8,1,7,3,4,6,2] => 0101001 => 1001010 => 0110101
[8,1,5,7,2,4,6,3] => 1001001 => 1001001 => 0110110
[8,4,1,2,7,6,3,5] => 1100110 => 0110011 => 1001100
[1,4,2,3,8,7,5,6] => 0100110 => 0110010 => 1001101
[1,4,2,7,6,3,5,8] => 0101100 => 0011010 => 1100101
[6,1,2,8,7,5,3,4] => 1001110 => 0111001 => 1000110
[6,1,2,4,8,7,5,3] => 1000111 => 1110001 => 0001110
[3,1,8,4,6,7,5,2] => 1010011 => 1100101 => 0011010
[3,1,7,6,4,8,5,2] => 1011011 => 1101101 => 0010010
[7,1,2,4,6,8,5,3] => 1000011 => 1100001 => 0011110
[7,1,2,6,8,5,3,4] => 1000110 => 0110001 => 1001110
[6,1,2,7,8,5,3,4] => 1000110 => 0110001 => 1001110
[6,1,2,7,4,8,5,3] => 1001011 => 1101001 => 0010110
[3,1,6,4,7,8,5,2] => 1010011 => 1100101 => 0011010
[5,7,1,3,8,4,6,2] => 0100101 => 1010010 => 0101101
[5,7,1,8,4,2,6,3] => 0101101 => 1011010 => 0100101
[7,1,5,3,2,8,6,4] => 1011011 => 1101101 => 0010010
[7,1,4,5,2,8,6,3] => 1001011 => 1101001 => 0010110
[4,7,3,1,5,8,6,2] => 0110011 => 1100110 => 0011001
[4,8,7,3,1,5,6,2] => 0111001 => 1001110 => 0110001
[8,1,7,4,5,2,6,3] => 1010101 => 1010101 => 0101010
[8,1,7,5,3,2,6,4] => 1011101 => 1011101 => 0100010
[8,3,7,1,2,6,4,5] => 1010010 => 0100101 => 1011010
[3,1,2,8,4,7,5,6] => 1001010 => 0101001 => 1010110
[3,1,2,8,6,4,5,7] => 1001100 => 0011001 => 1100110
[3,1,7,2,6,4,5,8] => 1010100 => 0010101 => 1101010
[1,4,2,3,8,6,5,7] => 0100110 => 0110010 => 1001101
[1,4,2,3,8,5,7,6] => 0100101 => 1010010 => 0101101
[5,8,1,7,2,4,6,3] => 0101001 => 1001010 => 0110101
[5,8,1,3,4,7,6,2] => 0100011 => 1100010 => 0011101
[3,1,8,6,4,7,5,2] => 1011011 => 1101101 => 0010010
[8,1,2,6,7,4,5,3] => 1000101 => 1010001 => 0101110
[6,1,2,8,7,3,5,4] => 1001101 => 1011001 => 0100110
[1,2,3,5,8,4,7,6] => 0000101 => 1010000 => 0101111
[1,2,3,5,8,6,4,7] => 0000110 => 0110000 => 1001111
[7,1,2,8,3,6,5,4] => 1001011 => 1101001 => 0010110
[7,1,2,8,6,4,5,3] => 1001101 => 1011001 => 0100110
[3,1,7,8,4,6,5,2] => 1001011 => 1101001 => 0010110
[3,1,8,7,6,4,5,2] => 1011101 => 1011101 => 0100010
[8,1,2,7,4,6,5,3] => 1001011 => 1101001 => 0010110
[8,1,2,7,3,6,5,4] => 1001011 => 1101001 => 0010110
[1,2,3,5,8,7,4,6] => 0000110 => 0110000 => 1001111
[1,2,3,6,8,5,4,7] => 0000110 => 0110000 => 1001111
[7,8,5,6,3,1,4,2] => 0101101 => 1011010 => 0100101
[7,8,5,3,6,1,2,4] => 0110100 => 0010110 => 1101001
[7,5,6,3,1,4,2,8] => 1011010 => 0101101 => 1010010
[7,5,8,3,1,4,2,6] => 1011010 => 0101101 => 1010010
[7,8,5,3,1,4,2,6] => 0111010 => 0101110 => 1010001
[7,8,5,3,1,6,2,4] => 0111010 => 0101110 => 1010001
[7,8,5,3,1,6,4,2] => 0111011 => 1101110 => 0010001
[7,8,5,3,6,1,4,2] => 0110101 => 1010110 => 0101001
[7,8,5,3,6,4,1,2] => 0110110 => 0110110 => 1001001
[7,8,5,3,4,1,6,2] => 0110101 => 1010110 => 0101001
[7,8,5,3,1,4,6,2] => 0111001 => 1001110 => 0110001
[7,8,5,3,1,2,6,4] => 0111001 => 1001110 => 0110001
[7,5,3,8,1,2,6,4] => 1101001 => 1001011 => 0110100
[7,5,8,3,4,1,6,2] => 1010101 => 1010101 => 0101010
[7,5,8,3,4,6,1,2] => 1010010 => 0100101 => 1011010
[7,5,6,3,4,1,8,2] => 1010101 => 1010101 => 0101010
[7,5,6,3,1,4,8,2] => 1011001 => 1001101 => 0110010
[7,5,6,3,1,2,8,4] => 1011001 => 1001101 => 0110010
[7,5,3,6,1,2,8,4] => 1101001 => 1001011 => 0110100
[7,5,3,4,1,2,8,6] => 1101001 => 1001011 => 0110100
[7,5,3,1,4,2,6,8] => 1110100 => 0010111 => 1101000
[7,5,3,1,4,2,8,6] => 1110101 => 1010111 => 0101000
[7,5,3,1,6,2,8,4] => 1110101 => 1010111 => 0101000
[7,5,3,1,6,4,8,2] => 1110101 => 1010111 => 0101000
[7,5,3,6,1,4,8,2] => 1101001 => 1001011 => 0110100
[7,5,3,6,4,1,8,2] => 1101101 => 1011011 => 0100100
[7,5,3,6,4,8,1,2] => 1101010 => 0101011 => 1010100
[7,5,3,8,4,6,1,2] => 1101010 => 0101011 => 1010100
[7,5,3,8,1,4,6,2] => 1101001 => 1001011 => 0110100
[7,5,3,1,8,4,6,2] => 1110101 => 1010111 => 0101000
[7,5,3,1,8,2,6,4] => 1110101 => 1010111 => 0101000
[7,5,3,1,8,2,4,6] => 1110100 => 0010111 => 1101000
[7,5,3,1,6,2,4,8] => 1110100 => 0010111 => 1101000
[7,5,3,1,6,4,2,8] => 1110110 => 0110111 => 1001000
[7,5,3,1,8,4,2,6] => 1110110 => 0110111 => 1001000
[7,5,3,1,8,6,2,4] => 1110110 => 0110111 => 1001000
[7,5,3,8,1,6,4,2] => 1101011 => 1101011 => 0010100
[7,5,3,8,6,1,4,2] => 1101101 => 1011011 => 0100100
[7,5,3,8,6,4,1,2] => 1101110 => 0111011 => 1000100
[7,5,8,3,6,4,1,2] => 1010110 => 0110101 => 1001010
[7,5,8,3,6,1,4,2] => 1010101 => 1010101 => 0101010
[7,5,8,3,1,6,4,2] => 1011011 => 1101101 => 0010010
[7,5,8,3,1,6,2,4] => 1011010 => 0101101 => 1010010
[7,5,3,6,1,4,2,8] => 1101010 => 0101011 => 1010100
[7,5,3,6,4,1,2,8] => 1101100 => 0011011 => 1100100
[7,5,3,8,4,1,2,6] => 1101100 => 0011011 => 1100100
[7,5,8,6,3,1,2,4] => 1011100 => 0011101 => 1100010
[7,5,8,6,3,1,4,2] => 1011101 => 1011101 => 0100010
[7,5,8,6,3,4,1,2] => 1011010 => 0101101 => 1010010
[7,5,6,8,3,1,4,2] => 1001101 => 1011001 => 0100110
[7,5,6,3,8,1,2,4] => 1010100 => 0010101 => 1101010
[7,5,3,4,1,6,2,8] => 1101010 => 0101011 => 1010100
[7,5,3,4,1,8,2,6] => 1101010 => 0101011 => 1010100
[7,5,6,3,1,8,2,4] => 1011010 => 0101101 => 1010010
[7,5,6,3,1,8,4,2] => 1011011 => 1101101 => 0010010
[7,5,6,3,8,1,4,2] => 1010101 => 1010101 => 0101010
[7,5,6,3,8,4,1,2] => 1010110 => 0110101 => 1001010
[7,5,3,6,8,4,1,2] => 1100110 => 0110011 => 1001100
[7,5,3,6,8,1,4,2] => 1100101 => 1010011 => 0101100
[7,5,3,6,1,8,4,2] => 1101011 => 1101011 => 0010100
[7,5,3,1,6,8,4,2] => 1110011 => 1100111 => 0011000
[7,5,3,1,6,8,2,4] => 1110010 => 0100111 => 1011000
[7,5,3,1,4,8,2,6] => 1110010 => 0100111 => 1011000
[7,5,3,1,4,6,2,8] => 1110010 => 0100111 => 1011000
[7,5,3,1,2,6,4,8] => 1110010 => 0100111 => 1011000
[7,5,3,1,2,8,4,6] => 1110010 => 0100111 => 1011000
[7,5,3,1,2,8,6,4] => 1110011 => 1100111 => 0011000
[7,5,3,1,4,8,6,2] => 1110011 => 1100111 => 0011000
[7,5,3,4,1,8,6,2] => 1101011 => 1101011 => 0010100
[7,5,3,4,8,1,6,2] => 1100101 => 1010011 => 0101100
[7,5,3,4,8,6,1,2] => 1100110 => 0110011 => 1001100
[7,5,3,4,6,1,8,2] => 1100101 => 1010011 => 0101100
[7,5,3,4,1,6,8,2] => 1101001 => 1001011 => 0110100
[7,5,3,1,4,6,8,2] => 1110001 => 1000111 => 0111000
[7,5,3,1,2,6,8,4] => 1110001 => 1000111 => 0111000
[7,5,3,1,2,4,8,6] => 1110001 => 1000111 => 0111000
[3,6,2,5,4,1,8,7] => 0101101 => 1011010 => 0100101
[3,5,2,8,4,7,6,1] => 0101011 => 1101010 => 0010101
[5,4,7,3,2,8,6,1] => 1011011 => 1101101 => 0010010
[5,4,8,3,2,7,6,1] => 1011011 => 1101101 => 0010010
[6,4,5,3,2,1,8,7] => 1011101 => 1011101 => 0100010
[5,3,2,6,4,1,8,7] => 1101101 => 1011011 => 0100100
[4,5,8,3,2,7,6,1] => 0011011 => 1101100 => 0010011
[4,7,6,3,8,5,2,1] => 0110111 => 1110110 => 0001001
[4,8,6,3,7,5,2,1] => 0110111 => 1110110 => 0001001
[4,8,5,3,2,7,6,1] => 0111011 => 1101110 => 0010001
[5,8,4,3,2,7,6,1] => 0111011 => 1101110 => 0010001
[5,3,2,8,4,7,6,1] => 1101011 => 1101011 => 0010100
[2,1,5,8,4,7,6,3] => 1001011 => 1101001 => 0010110
[5,3,2,7,4,8,6,1] => 1101011 => 1101011 => 0010100
[5,7,4,3,2,8,6,1] => 0111011 => 1101110 => 0010001
[4,7,5,3,2,8,6,1] => 0111011 => 1101110 => 0010001
[4,7,8,3,6,5,2,1] => 0010111 => 1110100 => 0001011
[4,6,8,3,7,5,2,1] => 0010111 => 1110100 => 0001011
[7,6,4,3,8,5,2,1] => 1110111 => 1110111 => 0001000
[7,3,2,6,8,5,4,1] => 1100111 => 1110011 => 0001100
[2,1,8,6,7,5,4,3] => 1010111 => 1110101 => 0001010
[8,3,2,6,7,5,4,1] => 1100111 => 1110011 => 0001100
[8,6,4,3,7,5,2,1] => 1110111 => 1110111 => 0001000
[8,5,7,6,4,3,2,1] => 1011111 => 1111101 => 0000010
[8,4,5,3,2,7,6,1] => 1011011 => 1101101 => 0010010
[8,4,7,3,6,5,2,1] => 1010111 => 1110101 => 0001010
[8,4,6,3,7,5,2,1] => 1010111 => 1110101 => 0001010
[7,4,6,3,8,5,2,1] => 1010111 => 1110101 => 0001010
[3,7,2,6,8,5,4,1] => 0100111 => 1110010 => 0001101
[3,8,2,6,7,5,4,1] => 0100111 => 1110010 => 0001101
[3,8,2,5,4,7,6,1] => 0101011 => 1101010 => 0010101
[3,7,2,8,6,5,4,1] => 0101111 => 1111010 => 0000101
[3,6,2,8,7,5,4,1] => 0101111 => 1111010 => 0000101
[6,4,7,3,8,5,2,1] => 1010111 => 1110101 => 0001010
[6,4,8,3,7,5,2,1] => 1010111 => 1110101 => 0001010
[7,4,8,3,6,5,2,1] => 1010111 => 1110101 => 0001010
[7,4,5,3,2,8,6,1] => 1011011 => 1101101 => 0010010
[7,5,4,3,2,8,6,1] => 1111011 => 1101111 => 0010000
[7,3,2,5,4,8,6,1] => 1101011 => 1101011 => 0010100
[2,1,7,5,4,8,6,3] => 1011011 => 1101101 => 0010010
[7,3,2,8,6,5,4,1] => 1101111 => 1111011 => 0000100
[7,8,4,3,6,5,2,1] => 0110111 => 1110110 => 0001001
[6,8,5,7,4,3,2,1] => 0101111 => 1111010 => 0000101
[6,8,4,3,7,5,2,1] => 0110111 => 1110110 => 0001001
[6,3,2,8,7,5,4,1] => 1101111 => 1111011 => 0000100
[6,3,2,7,8,5,4,1] => 1100111 => 1110011 => 0001100
[6,7,4,3,8,5,2,1] => 0110111 => 1110110 => 0001001
[2,3,1,4,5,6,7,8,9] => 01000000 => 00000010 => 11111101
[2,3,4,1,5,6,7,8,9] => 00100000 => 00000100 => 11111011
[2,3,4,5,1,6,7,8,9] => 00010000 => 00001000 => 11110111
[2,3,4,5,6,1,7,8,9] => 00001000 => 00010000 => 11101111
[2,3,1,4,5,6,7,8,9,10] => 010000000 => 000000010 => 111111101
[2,4,3,1,5,6,7,8,9] => 01100000 => 00000110 => 11111001
[2,3,4,1,5,6,7,8,9,10] => 001000000 => 000000100 => 111111011
[2,3,5,4,1,6,7,8,9] => 00110000 => 00001100 => 11110011
[2,3,4,5,1,6,7,8,9,10] => 000100000 => 000001000 => 111110111
[2,3,4,6,5,1,7,8,9] => 00011000 => 00011000 => 11100111
[2,3,4,5,6,1,7,8,9,10] => 000010000 => 000010000 => 111101111
[2,3,4,5,7,6,1,8,9] => 00001100 => 00110000 => 11001111
[2,3,4,5,6,7,1,8,9,10] => 000001000 => 000100000 => 111011111
[2,3,4,5,6,8,7,1,9] => 00000110 => 01100000 => 10011111
[2,3,4,5,6,7,8,1,9,10] => 000000100 => 001000000 => 110111111
[2,3,4,5,6,7,9,8,1] => 00000011 => 11000000 => 00111111
[4,6,8,3,5,7,1,2] => 0010010 => 0100100 => 1011011
[6,8,1,2,4,5,7,3] => 0100001 => 1000010 => 0111101
[3,5,8,2,4,7,1,6] => 0010010 => 0100100 => 1011011
[8,3,5,2,4,1,6,7] => 1010100 => 0010101 => 1101010
[4,2,5,7,3,6,1,8] => 1001010 => 0101001 => 1010110
[4,5,2,8,3,1,6,7] => 0101100 => 0011010 => 1100101
[4,2,5,8,3,7,1,6] => 1001010 => 0101001 => 1010110
[2,1,6,8,4,7,3,5] => 1001010 => 0101001 => 1010110
[1,2,5,8,3,6,7,4] => 0001001 => 1001000 => 0110111
[5,3,6,8,4,7,1,2] => 1001010 => 0101001 => 1010110
[1,6,5,8,2,4,7,3] => 0101001 => 1001010 => 0110101
[3,1,2,6,8,5,7,4] => 1000101 => 1010001 => 0101110
[1,4,3,8,2,6,7,5] => 0101001 => 1001010 => 0110101
[5,4,8,3,2,1,6,7] => 1011100 => 0011101 => 1100010
[5,4,3,7,2,6,1,8] => 1101010 => 0101011 => 1010100
[4,3,6,2,7,5,1,8] => 1010110 => 0110101 => 1001010
[4,6,3,2,1,8,5,7] => 0111010 => 0101110 => 1010001
[4,1,7,3,2,5,8,6] => 1011001 => 1001101 => 0110010
[4,3,1,7,8,2,6,5] => 1100101 => 1010011 => 0101100
[3,5,1,2,7,8,6,4] => 0100011 => 1100010 => 0011101
[7,5,1,4,8,2,6,3] => 1100101 => 1010011 => 0101100
[5,4,7,3,8,6,1,2] => 1010110 => 0110101 => 1001010
[5,8,4,7,6,3,1,2] => 0101110 => 0111010 => 1000101
[5,8,7,1,4,2,6,3] => 0110101 => 1010110 => 0101001
[8,3,5,1,2,7,6,4] => 1010011 => 1100101 => 0011010
[4,8,3,1,7,2,6,5] => 0110101 => 1010110 => 0101001
[1,8,4,3,5,2,7,6] => 0110101 => 1010110 => 0101001
[4,6,3,1,5,2,8,7] => 0110101 => 1010110 => 0101001
[4,7,3,6,5,2,1,8] => 0101110 => 0111010 => 1000101
[5,3,7,6,4,2,1,8] => 1011110 => 0111101 => 1000010
[1,6,3,4,2,8,7,5] => 0101011 => 1101010 => 0010101
[1,8,3,6,2,7,5,4] => 0101011 => 1101010 => 0010101
[1,6,8,7,4,2,5,3] => 0011101 => 1011100 => 0100011
[6,4,8,7,5,3,1,2] => 1011110 => 0111101 => 1000010
[7,6,4,3,8,5,1,2] => 1110110 => 0110111 => 1001000
[1,7,6,2,8,4,5,3] => 0110101 => 1010110 => 0101001
[7,1,3,2,6,8,5,4] => 1010011 => 1100101 => 0011010
[1,5,3,2,7,4,8,6] => 0110101 => 1010110 => 0101001
[6,3,2,1,8,5,4,7] => 1110110 => 0110111 => 1001000
[6,5,3,2,7,4,1,8] => 1110110 => 0110111 => 1001000
[5,2,6,3,7,4,1,8] => 1010110 => 0110101 => 1001010
[2,8,5,3,1,6,4,7] => 0111010 => 0101110 => 1010001
[2,1,7,3,8,5,4,6] => 1010110 => 0110101 => 1001010
[1,6,2,3,7,8,5,4] => 0100011 => 1100010 => 0011101
[1,6,7,2,8,4,5,3] => 0010101 => 1010100 => 0101011
[5,7,1,8,2,4,6,3] => 0101001 => 1001010 => 0110101
[5,1,2,7,8,3,6,4] => 1000101 => 1010001 => 0101110
[2,4,1,7,8,6,3,5] => 0100110 => 0110010 => 1001101
[4,2,1,7,3,8,5,6] => 1101010 => 0101011 => 1010100
[6,2,8,4,3,1,5,7] => 1011100 => 0011101 => 1100010
[7,3,2,1,8,4,5,6] => 1110100 => 0010111 => 1101000
[7,8,3,2,5,6,1,4] => 0110010 => 0100110 => 1011001
[7,1,8,2,4,5,6,3] => 1010001 => 1000101 => 0111010
[8,7,6,1,2,4,5,3] => 1110001 => 1000111 => 0111000
[8,3,7,6,2,1,4,5] => 1011100 => 0011101 => 1100010
[3,2,8,7,5,1,4,6] => 1011100 => 0011101 => 1100010
[8,3,6,5,2,1,4,7] => 1011100 => 0011101 => 1100010
[7,6,3,5,2,4,1,8] => 1101010 => 0101011 => 1010100
[7,4,6,2,5,3,1,8] => 1010110 => 0110101 => 1001010
[8,2,4,1,6,5,3,7] => 1010110 => 0110101 => 1001010
[4,2,8,1,7,5,3,6] => 1010110 => 0110101 => 1001010
[8,2,4,1,7,6,3,5] => 1010110 => 0110101 => 1001010
[8,7,1,5,6,2,4,3] => 1100101 => 1010011 => 0101100
[8,5,7,3,6,4,1,2] => 1010110 => 0110101 => 1001010
[6,8,3,7,5,4,1,2] => 0101110 => 0111010 => 1000101
[8,1,6,7,5,2,4,3] => 1001101 => 1011001 => 0100110
[8,1,2,6,4,3,7,5] => 1001101 => 1011001 => 0100110
[2,8,1,7,5,4,3,6] => 0101110 => 0111010 => 1000101
[2,5,1,8,6,4,3,7] => 0101110 => 0111010 => 1000101
[5,7,2,6,4,3,1,8] => 0101110 => 0111010 => 1000101
[6,2,7,5,4,3,1,8] => 1011110 => 0111101 => 1000010
[2,1,8,6,5,4,3,7] => 1011110 => 0111101 => 1000010
[1,2,7,5,4,3,8,6] => 0011101 => 1011100 => 0100011
[1,7,2,4,3,8,6,5] => 0101011 => 1101010 => 0010101
[1,7,2,8,3,6,5,4] => 0101011 => 1101010 => 0010101
[1,7,8,6,5,2,4,3] => 0011101 => 1011100 => 0100011
[7,3,8,6,5,4,1,2] => 1011110 => 0111101 => 1000010
[1,8,7,6,5,2,4,3] => 0111101 => 1011110 => 0100001
[8,1,7,3,2,6,5,4] => 1011011 => 1101101 => 0010010
[5,1,4,3,2,8,7,6] => 1011011 => 1101101 => 0010010
[8,6,5,3,2,1,7,4] => 1111101 => 1011111 => 0100000
[8,6,3,2,1,7,4,5] => 1111010 => 0101111 => 1010000
[8,6,5,4,1,7,2,3] => 1111010 => 0101111 => 1010000
[8,6,5,1,7,3,2,4] => 1110110 => 0110111 => 1001000
[8,6,1,7,4,3,2,5] => 1101110 => 0111011 => 1000100
[4,6,3,2,7,5,1,8] => 0110110 => 0110110 => 1001001
[1,4,3,7,2,5,8,6] => 0101001 => 1001010 => 0110101
[7,4,8,3,1,6,2,5] => 1011010 => 0101101 => 1010010
[7,1,5,8,3,2,6,4] => 1001101 => 1011001 => 0100110
[5,7,4,1,8,2,6,3] => 0110101 => 1010110 => 0101001
[5,7,4,3,1,8,6,2] => 0111011 => 1101110 => 0010001
[1,8,7,2,5,4,6,3] => 0110101 => 1010110 => 0101001
[1,8,5,3,7,2,6,4] => 0110101 => 1010110 => 0101001
[4,3,1,8,7,5,2,6] => 1101110 => 0111011 => 1000100
[1,4,8,6,3,5,2,7] => 0011010 => 0101100 => 1010011
[7,4,6,3,5,2,1,8] => 1010110 => 0110101 => 1001010
[1,3,5,6,8,4,2,7] => 0000110 => 0110000 => 1001111
[3,5,4,8,7,1,2,6] => 0101100 => 0011010 => 1100101
[3,1,4,6,8,7,2,5] => 1000110 => 0110001 => 1001110
[1,6,3,8,7,2,5,4] => 0101101 => 1011010 => 0100101
[1,6,2,4,8,7,5,3] => 0100111 => 1110010 => 0001101
[8,4,1,6,7,5,3,2] => 1100111 => 1110011 => 0001100
[7,1,6,4,8,5,2,3] => 1010110 => 0110101 => 1001010
[7,3,6,8,5,1,2,4] => 1001100 => 0011001 => 1100110
[1,3,7,2,6,8,4,5] => 0010010 => 0100100 => 1011011
[3,6,5,2,8,1,4,7] => 0110100 => 0010110 => 1101001
[3,6,5,7,2,4,1,8] => 0101010 => 0101010 => 1010101
[4,2,6,3,8,1,5,7] => 1010100 => 0010101 => 1101010
[4,2,6,7,3,5,1,8] => 1001010 => 0101001 => 1010110
[3,6,2,4,7,5,1,8] => 0100110 => 0110010 => 1001101
[3,6,2,4,1,8,5,7] => 0101010 => 0101010 => 1010101
[7,3,8,2,1,6,4,5] => 1011010 => 0101101 => 1010010
[7,3,5,2,1,8,6,4] => 1011011 => 1101101 => 0010010
[8,7,6,4,3,1,5,2] => 1111101 => 1011111 => 0100000
[8,7,6,4,1,5,2,3] => 1111010 => 0101111 => 1010000
[3,8,7,2,1,4,6,5] => 0111001 => 1001110 => 0110001
[3,8,2,7,1,5,4,6] => 0101010 => 0101010 => 1010101
[3,6,8,2,1,5,4,7] => 0011010 => 0101100 => 1010011
[2,4,8,1,6,5,3,7] => 0010110 => 0110100 => 1001011
[4,2,8,1,5,7,3,6] => 1010010 => 0100101 => 1011010
[8,5,7,6,1,4,2,3] => 1011010 => 0101101 => 1010010
[8,6,1,7,3,5,4,2] => 1101011 => 1101011 => 0010100
[8,6,1,7,5,4,2,3] => 1101110 => 0111011 => 1000100
[1,6,2,8,7,3,5,4] => 0101101 => 1011010 => 0100101
[1,8,2,4,6,7,3,5] => 0100010 => 0100010 => 1011101
[2,8,5,4,7,1,3,6] => 0110100 => 0010110 => 1101001
[2,1,5,8,6,4,3,7] => 1001110 => 0111001 => 1000110
[7,2,5,6,4,3,1,8] => 1001110 => 0111001 => 1000110
[1,2,5,7,8,4,3,6] => 0000110 => 0110000 => 1001111
[1,2,7,4,8,6,3,5] => 0010110 => 0110100 => 1001011
[1,2,7,8,3,6,5,4] => 0001011 => 1101000 => 0010111
[7,1,8,6,3,5,4,2] => 1011011 => 1101101 => 0010010
[1,8,7,6,3,5,2,4] => 0111010 => 0101110 => 1010001
[1,8,7,4,6,3,2,5] => 0110110 => 0110110 => 1001001
[7,1,5,8,3,4,6,2] => 1001001 => 1001001 => 0110110
[7,1,6,4,2,3,5,8] => 1011000 => 0001101 => 1110010
[8,6,2,4,7,3,5,1] => 1100101 => 1010011 => 0101100
[8,6,2,4,5,7,3,1] => 1100011 => 1100011 => 0011100
[2,7,1,4,5,8,3,6] => 0100010 => 0100010 => 1011101
[7,1,6,4,5,2,3,8] => 1010100 => 0010101 => 1101010
[7,1,4,5,6,8,2,3] => 1000010 => 0100001 => 1011110
[7,1,4,6,5,8,3,2] => 1001011 => 1101001 => 0010110
[7,1,2,3,8,5,4,6] => 1000110 => 0110001 => 1001110
[7,1,5,4,3,8,2,6] => 1011010 => 0101101 => 1010010
[7,1,3,4,2,6,8,5] => 1001001 => 1001001 => 0110110
[7,1,5,4,6,2,8,3] => 1010101 => 1010101 => 0101010
[7,1,5,6,4,3,8,2] => 1001101 => 1011001 => 0100110
[7,1,6,5,4,3,2,8] => 1011110 => 0111101 => 1000010
[8,6,2,5,4,3,7,1] => 1101101 => 1011011 => 0100100
[2,5,1,7,4,3,6,8] => 0101100 => 0011010 => 1100101
[2,5,1,4,7,8,6,3] => 0100011 => 1100010 => 0011101
[3,5,1,4,8,6,2,7] => 0100110 => 0110010 => 1001101
[3,6,2,4,7,8,1,5] => 0100010 => 0100010 => 1011101
[5,6,2,4,8,7,1,3] => 0100110 => 0110010 => 1001101
[6,3,8,2,4,7,1,5] => 1010010 => 0100101 => 1011010
[6,5,8,7,2,3,1,4] => 1011010 => 0101101 => 1010010
[6,5,7,8,2,4,1,3] => 1001010 => 0101001 => 1010110
[6,3,4,2,8,5,1,7] => 1010110 => 0110101 => 1001010
[3,4,7,2,5,8,1,6] => 0010010 => 0100100 => 1011011
[4,6,8,1,3,5,2,7] => 0010010 => 0100100 => 1011011
[4,3,8,1,2,7,5,6] => 1010010 => 0100101 => 1011010
[3,6,4,1,7,2,5,8] => 0110100 => 0010110 => 1101001
[2,8,3,1,5,6,4,7] => 0110010 => 0100110 => 1011001
[3,8,7,1,5,4,2,6] => 0110110 => 0110110 => 1001001
[4,3,1,7,6,8,2,5] => 1101010 => 0101011 => 1010100
[3,4,1,7,5,6,8,2] => 0101001 => 1001010 => 0110101
[3,4,1,5,7,6,2,8] => 0100110 => 0110010 => 1001101
[3,7,4,1,6,2,8,5] => 0110101 => 1010110 => 0101001
[8,4,7,2,5,3,6,1] => 1010101 => 1010101 => 0101010
[4,7,8,1,2,3,6,5] => 0010001 => 1000100 => 0111011
[2,8,6,1,5,3,7,4] => 0110101 => 1010110 => 0101001
[7,6,5,1,3,8,2,4] => 1110010 => 0100111 => 1011000
[7,6,5,1,3,4,8,2] => 1110001 => 1000111 => 0111000
[7,2,6,4,1,3,8,5] => 1011001 => 1001101 => 0110010
[6,7,5,2,1,3,8,4] => 0111001 => 1001110 => 0110001
[8,4,5,3,7,2,6,1] => 1010101 => 1010101 => 0101010
[4,7,5,2,8,1,6,3] => 0110101 => 1010110 => 0101001
[2,6,4,3,1,5,7,8] => 0111000 => 0001110 => 1110001
[7,3,8,4,1,5,2,6] => 1011010 => 0101101 => 1010010
[7,2,3,4,1,6,5,8] => 1001010 => 0101001 => 1010110
[4,2,8,3,6,1,5,7] => 1010100 => 0010101 => 1101010
[6,8,5,7,2,1,3,4] => 0101100 => 0011010 => 1100101
[4,8,5,2,7,1,3,6] => 0110100 => 0010110 => 1101001
[6,3,5,2,1,7,4,8] => 1011010 => 0101101 => 1010010
[6,8,5,3,1,4,2,7] => 0111010 => 0101110 => 1010001
[3,6,5,4,2,8,1,7] => 0111010 => 0101110 => 1010001
[1,6,4,7,2,5,3,8] => 0101010 => 0101010 => 1010101
[1,6,4,8,2,5,3,7] => 0101010 => 0101010 => 1010101
[1,6,5,8,2,4,3,7] => 0101010 => 0101010 => 1010101
[1,6,8,2,4,3,7,5] => 0010101 => 1010100 => 0101011
[1,6,2,4,3,7,8,5] => 0101001 => 1001010 => 0110101
[1,5,6,2,4,7,3,8] => 0010010 => 0100100 => 1011011
[1,5,6,2,4,7,8,3] => 0010001 => 1000100 => 0111011
[1,5,8,2,4,7,3,6] => 0010010 => 0100100 => 1011011
[1,5,7,2,4,8,3,6] => 0010010 => 0100100 => 1011011
[1,6,5,7,2,4,3,8] => 0101010 => 0101010 => 1010101
[1,6,7,2,4,3,8,5] => 0010101 => 1010100 => 0101011
[1,5,6,7,2,4,8,3] => 0001001 => 1001000 => 0110111
[1,5,8,2,4,6,7,3] => 0010001 => 1000100 => 0111011
[1,5,7,2,4,6,8,3] => 0010001 => 1000100 => 0111011
[1,5,7,8,3,2,4,6] => 0001100 => 0011000 => 1100111
[1,5,8,3,2,4,6,7] => 0011000 => 0001100 => 1110011
[1,5,6,2,4,8,3,7] => 0010010 => 0100100 => 1011011
[1,7,6,2,8,3,4,5] => 0110100 => 0010110 => 1101001
[1,7,3,4,2,8,6,5] => 0101011 => 1101010 => 0010101
[1,6,2,4,3,8,7,5] => 0101011 => 1101010 => 0010101
[1,5,6,2,4,8,7,3] => 0010011 => 1100100 => 0011011
[1,5,8,7,3,2,4,6] => 0011100 => 0011100 => 1100011
[1,4,2,3,5,8,7,6] => 0100011 => 1100010 => 0011101
[1,5,2,3,4,8,7,6] => 0100011 => 1100010 => 0011101
[1,6,5,2,3,8,7,4] => 0110011 => 1100110 => 0011001
[1,7,4,2,8,6,5,3] => 0110111 => 1110110 => 0001001
[1,7,6,5,2,8,4,3] => 0111011 => 1101110 => 0010001
[1,6,7,5,2,3,8,4] => 0011001 => 1001100 => 0110011
[1,7,5,2,8,4,3,6] => 0110110 => 0110110 => 1001001
[1,7,5,6,2,8,3,4] => 0101010 => 0101010 => 1010101
[1,5,7,6,2,4,8,3] => 0011001 => 1001100 => 0110011
[1,5,8,3,2,4,7,6] => 0011001 => 1001100 => 0110011
[1,6,5,2,3,7,4,8] => 0110010 => 0100110 => 1011001
[1,6,5,2,3,7,8,4] => 0110001 => 1000110 => 0111001
[1,6,8,4,2,3,7,5] => 0011001 => 1001100 => 0110011
[1,7,4,6,2,8,3,5] => 0101010 => 0101010 => 1010101
[1,7,3,5,2,8,4,6] => 0101010 => 0101010 => 1010101
[1,6,8,5,2,3,7,4] => 0011001 => 1001100 => 0110011
[1,6,4,2,3,7,8,5] => 0110001 => 1000110 => 0111001
[1,6,4,2,3,7,5,8] => 0110010 => 0100110 => 1011001
[1,5,8,6,2,4,7,3] => 0011001 => 1001100 => 0110011
[1,5,7,3,2,4,8,6] => 0011001 => 1001100 => 0110011
[1,7,3,4,2,8,5,6] => 0101010 => 0101010 => 1010101
[1,7,4,2,8,5,3,6] => 0110110 => 0110110 => 1001001
[1,6,7,4,2,3,8,5] => 0011001 => 1001100 => 0110011
[1,6,4,2,3,8,5,7] => 0110010 => 0100110 => 1011001
[1,7,6,4,2,8,5,3] => 0111011 => 1101110 => 0010001
[1,7,5,2,8,6,4,3] => 0110111 => 1110110 => 0001001
[1,6,4,2,3,8,7,5] => 0110011 => 1100110 => 0011001
[7,3,5,6,1,4,8,2] => 1001001 => 1001001 => 0110110
[3,7,5,6,1,4,8,2] => 0101001 => 1001010 => 0110101
[8,2,4,1,6,7,5,3] => 1010011 => 1100101 => 0011010
[8,6,1,4,2,7,5,3] => 1101011 => 1101011 => 0010100
[3,6,1,4,2,8,5,7] => 0101010 => 0101010 => 1010101
[1,6,7,4,3,5,8,2] => 0011001 => 1001100 => 0110011
[6,7,1,4,3,5,8,2] => 0101001 => 1001010 => 0110101
[7,6,1,4,3,5,8,2] => 1101001 => 1001011 => 0110100
[3,5,4,1,6,7,8,2] => 0110001 => 1000110 => 0111001
[4,7,1,6,3,5,8,2] => 0101001 => 1001010 => 0110101
[3,1,4,7,6,5,8,2] => 1001101 => 1011001 => 0100110
[6,1,7,4,3,5,8,2] => 1011001 => 1001101 => 0110010
[7,1,6,4,3,5,8,2] => 1011001 => 1001101 => 0110010
[1,7,6,4,3,5,8,2] => 0111001 => 1001110 => 0110001
[8,1,6,4,2,7,5,3] => 1011011 => 1101101 => 0010010
[8,4,1,3,7,2,5,6] => 1100100 => 0010011 => 1101100
[4,7,1,3,8,2,5,6] => 0100100 => 0010010 => 1101101
[7,4,1,3,8,2,5,6] => 1100100 => 0010011 => 1101100
[1,3,6,4,2,8,5,7] => 0011010 => 0101100 => 1010011
[4,7,3,1,2,8,5,6] => 0110010 => 0100110 => 1011001
[4,7,8,1,2,6,5,3] => 0010011 => 1100100 => 0011011
[6,8,1,4,2,7,5,3] => 0101011 => 1101010 => 0010101
[1,8,6,4,2,7,5,3] => 0111011 => 1101110 => 0010001
[4,8,1,3,7,2,5,6] => 0100100 => 0010010 => 1101101
[8,7,1,3,6,2,5,4] => 1100101 => 1010011 => 0101100
[6,8,5,7,3,2,1,4] => 0101110 => 0111010 => 1000101
[1,8,4,3,7,2,5,6] => 0110100 => 0010110 => 1101001
[2,8,3,4,7,6,1,5] => 0100110 => 0110010 => 1001101
[3,7,8,4,6,2,1,5] => 0010110 => 0110100 => 1001011
[3,7,4,6,8,2,1,5] => 0100110 => 0110010 => 1001101
[2,4,3,7,8,6,1,5] => 0100110 => 0110010 => 1001101
[1,4,7,3,8,2,5,6] => 0010100 => 0010100 => 1101011
[5,7,6,8,3,2,1,4] => 0101110 => 0111010 => 1000101
[2,5,3,4,8,6,1,7] => 0100110 => 0110010 => 1001101
[3,7,5,4,8,2,1,6] => 0110110 => 0110110 => 1001001
[7,1,3,4,2,8,5,6] => 1001010 => 0101001 => 1010110
[6,1,4,3,8,2,5,7] => 1010100 => 0010101 => 1101010
[4,1,7,3,8,2,5,6] => 1010100 => 0010101 => 1101010
[8,1,4,3,7,2,5,6] => 1010100 => 0010101 => 1101010
[8,2,3,4,7,6,1,5] => 1000110 => 0110001 => 1001110
[4,2,3,7,8,6,1,5] => 1000110 => 0110001 => 1001110
[5,2,3,4,8,6,1,7] => 1000110 => 0110001 => 1001110
[2,7,5,6,3,8,1,4] => 0101010 => 0101010 => 1010101
[5,7,2,6,3,8,1,4] => 0101010 => 0101010 => 1010101
[5,7,2,6,8,4,1,3] => 0100110 => 0110010 => 1001101
[7,2,5,6,8,4,1,3] => 1000110 => 0110001 => 1001110
[4,2,3,8,5,6,1,7] => 1001010 => 0101001 => 1010110
[5,2,3,8,7,6,1,4] => 1001110 => 0111001 => 1000110
[8,2,3,7,5,6,1,4] => 1001010 => 0101001 => 1010110
[6,1,8,3,7,2,5,4] => 1010101 => 1010101 => 0101010
[1,7,8,4,2,6,5,3] => 0011011 => 1101100 => 0010011
[4,7,1,8,2,5,6,3] => 0101001 => 1001010 => 0110101
[3,7,4,8,5,2,1,6] => 0101110 => 0111010 => 1000101
[2,4,3,8,5,6,1,7] => 0101010 => 0101010 => 1010101
[1,4,8,3,6,2,5,7] => 0010100 => 0010100 => 1101011
[7,5,8,6,3,2,1,4] => 1011110 => 0111101 => 1000010
[6,5,8,7,3,2,1,4] => 1011110 => 0111101 => 1000010
[8,5,7,6,3,2,1,4] => 1011110 => 0111101 => 1000010
[2,5,3,8,7,6,1,4] => 0101110 => 0111010 => 1000101
[3,7,5,8,6,2,1,4] => 0101110 => 0111010 => 1000101
[3,7,8,6,5,2,1,4] => 0011110 => 0111100 => 1000011
[1,8,7,3,6,2,5,4] => 0110101 => 1010110 => 0101001
[6,8,7,5,3,2,1,4] => 0111110 => 0111110 => 1000001
[5,7,6,8,3,4,1,2] => 0101010 => 0101010 => 1010101
[3,7,6,8,4,5,1,2] => 0101010 => 0101010 => 1010101
[1,5,4,7,6,8,2,3] => 0101010 => 0101010 => 1010101
[1,7,4,6,5,8,2,3] => 0101010 => 0101010 => 1010101
[3,7,4,6,5,8,1,2] => 0101010 => 0101010 => 1010101
[3,5,4,8,6,7,1,2] => 0101010 => 0101010 => 1010101
[3,8,4,6,5,7,1,2] => 0101010 => 0101010 => 1010101
[3,6,4,7,5,8,1,2] => 0101010 => 0101010 => 1010101
[1,6,2,7,5,8,3,4] => 0101010 => 0101010 => 1010101
[1,6,4,8,5,7,2,3] => 0101010 => 0101010 => 1010101
[1,8,4,6,5,7,2,3] => 0101010 => 0101010 => 1010101
[1,5,4,8,6,7,2,3] => 0101010 => 0101010 => 1010101
[7,8,1,5,4,6,2,3] => 0101010 => 0101010 => 1010101
[7,8,1,5,2,4,3,6] => 0101010 => 0101010 => 1010101
[1,8,2,6,5,7,3,4] => 0101010 => 0101010 => 1010101
[1,7,2,8,5,6,3,4] => 0101010 => 0101010 => 1010101
[1,7,2,6,5,8,3,4] => 0101010 => 0101010 => 1010101
[1,5,2,7,6,8,3,4] => 0101010 => 0101010 => 1010101
[1,7,6,8,2,5,3,4] => 0101010 => 0101010 => 1010101
[1,7,6,8,4,5,2,3] => 0101010 => 0101010 => 1010101
[5,7,6,8,1,4,2,3] => 0101010 => 0101010 => 1010101
[7,8,5,6,1,3,2,4] => 0101010 => 0101010 => 1010101
[5,8,6,7,1,3,2,4] => 0101010 => 0101010 => 1010101
[1,3,2,7,6,8,4,5] => 0101010 => 0101010 => 1010101
[1,7,6,8,2,4,3,5] => 0101010 => 0101010 => 1010101
[7,8,1,3,2,6,4,5] => 0101010 => 0101010 => 1010101
[7,8,1,6,2,4,3,5] => 0101010 => 0101010 => 1010101
[1,8,6,7,2,4,3,5] => 0101010 => 0101010 => 1010101
[7,8,1,4,2,6,3,5] => 0101010 => 0101010 => 1010101
[7,8,1,4,2,5,3,6] => 0101010 => 0101010 => 1010101
[7,8,2,1,4,3,6,5] => 0110101 => 1010110 => 0101001
[7,8,1,2,4,3,5,6] => 0100100 => 0010010 => 1101101
[4,3,6,5,8,7,1,2] => 1010110 => 0110101 => 1001010
[3,4,6,5,7,8,1,2] => 0010010 => 0100100 => 1011011
[3,4,1,5,6,7,8,9,2] => 01000001 => 10000010 => 01111101
[3,4,5,1,6,7,8,9,2] => 00100001 => 10000100 => 01111011
[3,4,5,6,1,7,8,9,2] => 00010001 => 10001000 => 01110111
[3,4,5,6,7,1,8,9,2] => 00001001 => 10010000 => 01101111
[3,4,5,6,7,8,1,9,2] => 00000101 => 10100000 => 01011111
[3,1,2,5,6,7,8,9,4] => 10000001 => 10000001 => 01111110
[3,4,1,5,6,7,8,9,10,2] => 010000001 => 100000010 => 011111101
[3,4,1,2,6,7,8,9,5] => 01000001 => 10000010 => 01111101
[3,4,5,1,6,7,8,9,10,2] => 001000001 => 100000100 => 011111011
[3,4,5,1,2,7,8,9,6] => 00100001 => 10000100 => 01111011
[3,4,5,6,1,7,8,9,10,2] => 000100001 => 100001000 => 011110111
[3,4,5,6,1,2,8,9,7] => 00010001 => 10001000 => 01110111
[3,4,5,6,7,1,8,9,10,2] => 000010001 => 100010000 => 011101111
[3,4,5,6,7,1,2,9,8] => 00001001 => 10010000 => 01101111
[3,4,5,6,7,8,1,9,10,2] => 000001001 => 100100000 => 011011111
[3,4,5,6,7,8,1,2,9] => 00000100 => 00100000 => 11011111
[3,4,5,6,7,8,9,1,10,2] => 000000101 => 101000000 => 010111111
[1,6,2,3,8,7,4,5] => 0100110 => 0110010 => 1001101
[1,7,4,3,2,8,6,5] => 0111011 => 1101110 => 0010001
[1,4,7,6,2,5,8,3] => 0011001 => 1001100 => 0110011
[1,2,6,5,3,7,4,8] => 0011010 => 0101100 => 1010011
[1,2,6,5,3,7,8,4] => 0011001 => 1001100 => 0110011
[1,3,7,5,2,6,8,4] => 0011001 => 1001100 => 0110011
[1,3,7,4,2,6,8,5] => 0011001 => 1001100 => 0110011
[1,2,6,4,3,7,8,5] => 0011001 => 1001100 => 0110011
[1,2,6,4,3,7,5,8] => 0011010 => 0101100 => 1010011
[1,4,7,3,2,5,8,6] => 0011001 => 1001100 => 0110011
[1,4,3,2,5,8,6,7] => 0110010 => 0100110 => 1011001
[1,5,3,2,4,8,6,7] => 0110010 => 0100110 => 1011001
[1,7,5,3,2,8,6,4] => 0111011 => 1101110 => 0010001
[1,5,3,2,4,8,7,6] => 0110011 => 1100110 => 0011001
[7,6,5,4,3,1,8,2] => 1111101 => 1011111 => 0100000
[6,8,5,4,3,2,1,7] => 0111110 => 0111110 => 1000001
[8,7,6,5,4,3,1,9,2] => 11111101 => 10111111 => 01000000
[7,9,6,5,4,3,2,1,8] => 01111110 => 01111110 => 10000001
[9,8,7,6,5,4,3,1,10,2] => 111111101 => 101111111 => 010000000
[1,7,6,5,4,3,9,8,2] => 01111011 => 11011110 => 00100001
[7,1,5,4,3,8,6,2] => 1011011 => 1101101 => 0010010
[3,6,5,4,8,1,7,2] => 0110101 => 1010110 => 0101001
[6,8,1,4,3,2,7,5] => 0101101 => 1011010 => 0100101
[2,8,5,4,3,7,1,6] => 0111010 => 0101110 => 1010001
[1,9,6,5,4,3,2,8,7] => 01111101 => 10111110 => 01000001
[8,10,7,6,5,4,3,2,1,9] => 011111110 => 011111110 => 100000001
[10,9,8,7,6,5,4,3,1,11,2] => 1111111101 => 1011111111 => 0100000000
[1,8,7,6,5,4,3,10,9,2] => 011111011 => 110111110 => 001000001
[8,1,6,5,4,3,9,7,2] => 10111011 => 11011101 => 00100010
[3,7,6,5,4,9,1,8,2] => 01110101 => 10101110 => 01010001
[7,6,1,4,3,8,5,2] => 1101011 => 1101011 => 0010100
[4,6,5,8,3,1,7,2] => 0101101 => 1011010 => 0100101
[6,8,5,1,3,2,7,4] => 0110101 => 1010110 => 0101001
[1,8,2,4,3,7,6,5] => 0101011 => 1101010 => 0010101
[7,9,1,5,4,3,2,8,6] => 01011101 => 10111010 => 01000101
[3,8,5,4,7,2,1,6] => 0110110 => 0110110 => 1001001
[2,9,6,5,4,3,8,1,7] => 01111010 => 01011110 => 10100001
[1,10,7,6,5,4,3,2,9,8] => 011111101 => 101111110 => 010000001
[9,11,8,7,6,5,4,3,2,1,10] => 0111111110 => 0111111110 => 1000000001
[11,10,9,8,7,6,5,4,3,1,12,2] => 11111111101 => 10111111111 => 01000000000
[1,9,8,7,6,5,4,3,11,10,2] => 0111111011 => 1101111110 => 0010000001
[9,1,7,6,5,4,3,10,8,2] => 101111011 => 110111101 => 001000010
[3,8,7,6,5,4,10,1,9,2] => 011110101 => 101011110 => 010100001
[8,7,1,5,4,3,9,6,2] => 11011011 => 11011011 => 00100100
[1,3,6,5,4,9,8,7,2] => 00110111 => 11101100 => 00010011
[4,7,6,5,9,3,1,8,2] => 01101101 => 10110110 => 01001001
[7,6,5,1,3,8,4,2] => 1110011 => 1100111 => 0011000
[1,6,3,4,8,7,5,2] => 0100111 => 1110010 => 0001101
[1,4,5,8,3,7,6,2] => 0001011 => 1101000 => 0010111
[6,8,5,4,1,2,7,3] => 0111001 => 1001110 => 0110001
[1,8,5,2,3,7,6,4] => 0110011 => 1100110 => 0011001
[7,9,6,1,4,3,2,8,5] => 01101101 => 10110110 => 01001001
[6,8,2,4,3,7,1,5] => 0101010 => 0101010 => 1010101
[1,8,3,4,7,2,6,5] => 0100101 => 1010010 => 0101101
[1,9,2,5,4,3,8,7,6] => 01011011 => 11011010 => 00100101
[8,10,1,6,5,4,3,2,9,7] => 010111101 => 101111010 => 010000101
[7,5,8,4,3,2,1,6] => 1011110 => 0111101 => 1000010
[4,8,5,7,3,2,1,6] => 0101110 => 0111010 => 1000101
[3,9,6,5,4,8,2,1,7] => 01110110 => 01101110 => 10010001
[2,10,7,6,5,4,3,9,1,8] => 011111010 => 010111110 => 101000001
[1,11,8,7,6,5,4,3,2,10,9] => 0111111101 => 1011111110 => 0100000001
[10,12,9,8,7,6,5,4,3,2,1,11] => 01111111110 => 01111111110 => 10000000001
[5,1,7,6,8,4,3,2] => 1010111 => 1110101 => 0001010
[6,4,8,5,2,7,1,3] => 1011010 => 0101101 => 1010010
[5,1,8,6,7,4,3,2] => 1010111 => 1110101 => 0001010
[8,4,7,5,2,6,1,3] => 1011010 => 0101101 => 1010010
[5,4,6,8,2,1,7,3] => 1001101 => 1011001 => 0100110
[6,4,5,8,1,2,7,3] => 1001001 => 1001001 => 0110110
[7,4,6,5,2,1,8,3] => 1011101 => 1011101 => 0100010
[8,4,6,5,2,1,7,3] => 1011101 => 1011101 => 0100010
[4,8,7,5,6,1,3,2] => 0110101 => 1010110 => 0101001
[2,7,5,1,8,4,3,6] => 0110110 => 0110110 => 1001001
[5,1,8,7,4,2,3,6] => 1011100 => 0011101 => 1100010
[2,8,6,7,4,3,5,1] => 0101101 => 1011010 => 0100101
[3,6,5,2,4,1,8,7] => 0110101 => 1010110 => 0101001
[5,2,3,6,4,1,8,7] => 1001101 => 1011001 => 0100110
[6,1,4,5,3,2,8,7] => 1001101 => 1011001 => 0100110
[3,8,7,1,4,6,5,2] => 0110011 => 1100110 => 0011001
[5,7,1,2,4,3,8,6] => 0100101 => 1010010 => 0101101
[4,3,7,6,8,2,5,1] => 1010101 => 1010101 => 0101010
[5,3,6,8,1,7,2,4] => 1001010 => 0101001 => 1010110
[3,2,6,8,5,7,1,4] => 1001010 => 0101001 => 1010110
[6,3,7,2,4,8,5,1] => 1010011 => 1100101 => 0011010
[7,4,8,6,5,2,1,3] => 1011110 => 0111101 => 1000010
[7,1,8,2,5,4,3,6] => 1010110 => 0110101 => 1001010
[2,5,3,7,4,1,8,6] => 0101101 => 1011010 => 0100101
[3,6,4,7,5,1,8,2] => 0101101 => 1011010 => 0100101
[8,4,7,6,2,3,1,5] => 1011010 => 0101101 => 1010010
[8,4,7,1,2,5,6,3] => 1010001 => 1000101 => 0111010
[4,2,8,7,3,5,6,1] => 1011001 => 1001101 => 0110010
[8,1,7,4,2,5,6,3] => 1011001 => 1001101 => 0110010
[7,4,3,8,2,5,6,1] => 1101001 => 1001011 => 0110100
[6,4,1,5,8,2,7,3] => 1100101 => 1010011 => 0101100
[2,5,8,7,3,6,1,4] => 0011010 => 0101100 => 1010011
[2,1,5,8,7,4,6,3] => 1001101 => 1011001 => 0100110
[8,3,5,6,7,4,1,2] => 1000110 => 0110001 => 1001110
[7,4,3,2,8,5,6,1] => 1110101 => 1010111 => 0101000
[4,2,7,1,8,5,6,3] => 1010101 => 1010101 => 0101010
[4,1,7,2,8,5,6,3] => 1010101 => 1010101 => 0101010
[2,4,8,7,3,5,6,1] => 0011001 => 1001100 => 0110011
[4,7,8,3,1,5,6,2] => 0011001 => 1001100 => 0110011
[3,4,7,2,8,5,6,1] => 0010101 => 1010100 => 0101011
[3,7,1,4,8,5,6,2] => 0100101 => 1010010 => 0101101
[7,2,3,4,8,5,6,1] => 1000101 => 1010001 => 0101110
[6,1,8,5,2,7,4,3] => 1011011 => 1101101 => 0010010
[2,1,7,4,5,8,6,3] => 1010011 => 1100101 => 0011010
[2,1,8,3,6,7,5,4] => 1010011 => 1100101 => 0011010
[8,2,1,6,4,7,5,3] => 1101011 => 1101011 => 0010100
[7,8,2,6,4,1,5,3] => 0101101 => 1011010 => 0100101
[2,6,3,5,8,7,1,4] => 0100110 => 0110010 => 1001101
[7,6,2,1,5,8,4,3] => 1110011 => 1100111 => 0011000
[4,5,2,7,6,1,8,3] => 0101101 => 1011010 => 0100101
[5,1,6,8,4,7,2,3] => 1001010 => 0101001 => 1010110
[3,6,8,7,5,2,1,4] => 0011110 => 0111100 => 1000011
[7,4,8,6,5,2,3,1] => 1011101 => 1011101 => 0100010
[8,1,6,4,7,3,2,5] => 1010110 => 0110101 => 1001010
[7,6,4,1,2,3,8,5] => 1110001 => 1000111 => 0111000
[2,6,4,8,5,3,7,1] => 0101101 => 1011010 => 0100101
[7,3,5,8,4,2,1,6] => 1001110 => 0111001 => 1000110
[3,2,5,8,4,1,7,6] => 1001101 => 1011001 => 0100110
[8,4,7,1,5,2,3,6] => 1010100 => 0010101 => 1101010
[4,8,7,5,6,1,2,3] => 0110100 => 0010110 => 1101001
[6,1,4,8,7,3,5,2] => 1001101 => 1011001 => 0100110
[7,2,8,4,3,5,6,1] => 1011001 => 1001101 => 0110010
[4,7,8,1,3,5,6,2] => 0010001 => 1000100 => 0111011
[8,7,3,4,1,5,6,2] => 1101001 => 1001011 => 0110100
[4,8,2,7,3,5,6,1] => 0101001 => 1001010 => 0110101
[3,1,8,7,2,5,6,4] => 1011001 => 1001101 => 0110010
[3,8,1,7,2,5,6,4] => 0101001 => 1001010 => 0110101
[8,2,3,7,1,5,6,4] => 1001001 => 1001001 => 0110110
[6,4,8,7,1,3,2,5] => 1011010 => 0101101 => 1010010
[2,8,4,6,7,3,1,5] => 0100110 => 0110010 => 1001101
[4,3,8,2,7,6,1,5] => 1010110 => 0110101 => 1001010
[6,8,4,2,1,3,7,5] => 0111001 => 1001110 => 0110001
[7,8,2,4,3,5,6,1] => 0101001 => 1001010 => 0110101
[2,8,3,7,1,5,6,4] => 0101001 => 1001010 => 0110101
[8,1,2,7,3,5,6,4] => 1001001 => 1001001 => 0110110
[6,4,1,3,2,8,5,7] => 1101010 => 0101011 => 1010100
[5,3,8,6,2,1,4,7] => 1011100 => 0011101 => 1100010
[4,6,5,2,8,3,1,7] => 0110110 => 0110110 => 1001001
[4,3,7,5,1,8,2,6] => 1011010 => 0101101 => 1010010
[6,8,5,2,7,4,3,1] => 0110111 => 1110110 => 0001001
[7,2,5,4,3,8,1,6] => 1011010 => 0101101 => 1010010
[3,6,8,1,4,5,2,7] => 0010010 => 0100100 => 1011011
[6,8,1,2,4,5,3,7] => 0100010 => 0100010 => 1011101
[8,1,6,2,4,5,3,7] => 1010010 => 0100101 => 1011010
[3,8,6,1,2,5,4,7] => 0110010 => 0100110 => 1011001
[5,8,1,6,2,3,4,7] => 0101000 => 0001010 => 1110101
[4,1,6,5,8,2,3,7] => 1010100 => 0010101 => 1101010
[4,3,8,6,2,5,1,7] => 1011010 => 0101101 => 1010010
[8,3,6,1,4,5,2,7] => 1010010 => 0100101 => 1011010
[2,3,6,8,4,5,1,7] => 0001010 => 0101000 => 1010111
[2,7,5,4,3,8,1,6] => 0111010 => 0101110 => 1010001
[6,3,8,7,4,2,5,1] => 1011101 => 1011101 => 0100010
[5,8,4,3,7,6,1,2] => 0110110 => 0110110 => 1001001
[8,7,4,3,1,6,2,5] => 1111010 => 0101111 => 1010000
[1,7,4,3,8,6,2,5] => 0110110 => 0110110 => 1001001
[7,1,5,3,4,8,2,6] => 1010010 => 0100101 => 1011010
[2,8,6,1,7,4,5,3] => 0110101 => 1010110 => 0101001
[4,8,6,5,7,2,1,3] => 0110110 => 0110110 => 1001001
[4,7,6,8,2,1,5,3] => 0101101 => 1011010 => 0100101
[6,1,8,7,4,3,5,2] => 1011101 => 1011101 => 0100010
[8,5,4,3,1,6,7,2] => 1111001 => 1001111 => 0110000
[1,5,8,6,3,4,7,2] => 0011001 => 1001100 => 0110011
[2,5,8,6,3,4,7,1] => 0011001 => 1001100 => 0110011
[4,1,3,8,5,6,7,2] => 1001001 => 1001001 => 0110110
[6,5,8,4,3,1,7,2] => 1011101 => 1011101 => 0100010
[4,6,5,2,8,1,7,3] => 0110101 => 1010110 => 0101001
[7,2,8,1,3,6,4,5] => 1010010 => 0100101 => 1011010
[1,8,5,2,3,6,7,4] => 0110001 => 1000110 => 0111001
[1,8,3,2,5,6,7,4] => 0110001 => 1000110 => 0111001
[2,8,3,1,5,6,7,4] => 0110001 => 1000110 => 0111001
[4,8,3,2,5,6,7,1] => 0110001 => 1000110 => 0111001
[8,2,3,1,5,6,7,4] => 1010001 => 1000101 => 0111010
[2,1,8,3,5,6,7,4] => 1010001 => 1000101 => 0111010
[1,4,8,2,3,6,7,5] => 0010001 => 1000100 => 0111011
[3,1,2,7,8,6,4,5] => 1000110 => 0110001 => 1001110
[7,5,1,8,2,4,3,6] => 1101010 => 0101011 => 1010100
[3,5,8,1,2,4,7,6] => 0010001 => 1000100 => 0111011
[4,5,8,1,2,3,7,6] => 0010001 => 1000100 => 0111011
[4,2,7,1,8,6,3,5] => 1010110 => 0110101 => 1001010
[3,8,4,1,2,6,7,5] => 0110001 => 1000110 => 0111001
[5,4,8,2,3,6,7,1] => 1010001 => 1000101 => 0111010
[5,8,3,6,7,4,1,2] => 0100110 => 0110010 => 1001101
[2,3,1,6,8,4,7,5] => 0100101 => 1010010 => 0101101
[2,4,3,7,1,8,5,6] => 0101010 => 0101010 => 1010101
[1,4,7,3,2,8,5,6] => 0011010 => 0101100 => 1010011
[2,7,1,4,3,8,5,6] => 0101010 => 0101010 => 1010101
[2,4,1,8,6,3,7,5] => 0101101 => 1011010 => 0100101
[8,4,1,3,6,2,7,5] => 1100101 => 1010011 => 0101100
[6,8,5,1,7,2,3,4] => 0110100 => 0010110 => 1101001
[7,3,6,5,8,2,1,4] => 1010110 => 0110101 => 1001010
[7,6,3,5,8,2,1,4] => 1100110 => 0110011 => 1001100
[4,5,8,7,3,6,1,2] => 0011010 => 0101100 => 1010011
[3,5,2,8,6,1,7,4] => 0101101 => 1011010 => 0100101
[8,2,5,6,1,4,7,3] => 1001001 => 1001001 => 0110110
[8,6,5,4,1,2,7,3] => 1111001 => 1001111 => 0110000
[2,6,1,8,3,7,5,4] => 0101011 => 1101010 => 0010101
[4,7,1,6,2,8,5,3] => 0101011 => 1101010 => 0010101
[6,1,5,3,8,7,2,4] => 1010110 => 0110101 => 1001010
[2,8,6,3,7,1,5,4] => 0110101 => 1010110 => 0101001
[7,6,1,5,8,2,3,4] => 1100100 => 0010011 => 1101100
[3,6,8,5,1,2,7,4] => 0011001 => 1001100 => 0110011
[6,5,2,4,8,1,7,3] => 1100101 => 1010011 => 0101100
[5,1,4,8,2,6,7,3] => 1001001 => 1001001 => 0110110
[4,8,2,5,1,6,7,3] => 0101001 => 1001010 => 0110101
[3,4,8,5,2,6,7,1] => 0011001 => 1001100 => 0110011
[4,2,1,8,5,6,7,3] => 1101001 => 1001011 => 0110100
[1,5,4,8,2,6,7,3] => 0101001 => 1001010 => 0110101
[7,2,1,5,8,6,3,4] => 1100110 => 0110011 => 1001100
[2,8,4,5,1,6,7,3] => 0101001 => 1001010 => 0110101
[5,4,8,3,7,6,1,2] => 1010110 => 0110101 => 1001010
[3,1,5,8,6,2,7,4] => 1001101 => 1011001 => 0100110
[6,3,4,8,5,1,7,2] => 1001101 => 1011001 => 0100110
[5,3,4,8,1,6,7,2] => 1001001 => 1001001 => 0110110
[7,6,1,2,8,3,5,4] => 1100101 => 1010011 => 0101100
[7,5,8,4,1,2,6,3] => 1011001 => 1001101 => 0110010
[7,5,8,4,6,1,3,2] => 1010101 => 1010101 => 0101010
[6,5,4,8,7,1,3,2] => 1101101 => 1011011 => 0100100
[6,5,4,8,1,2,7,3] => 1101001 => 1001011 => 0110100
[7,5,1,6,2,3,8,4] => 1101001 => 1001011 => 0110100
[7,5,1,6,8,2,4,3] => 1100101 => 1010011 => 0101100
[6,5,4,1,8,2,7,3] => 1110101 => 1010111 => 0101000
[6,5,4,7,1,2,8,3] => 1101001 => 1001011 => 0110100
[6,5,4,7,8,1,3,2] => 1100101 => 1010011 => 0101100
[6,5,3,7,1,4,2,8] => 1101010 => 0101011 => 1010100
[6,5,3,1,8,4,2,7] => 1110110 => 0110111 => 1001000
[7,5,1,4,8,3,2,6] => 1100110 => 0110011 => 1001100
[8,1,6,4,7,3,5,2] => 1010101 => 1010101 => 0101010
[7,5,1,4,8,3,6,2] => 1100101 => 1010011 => 0101100
[6,5,3,7,1,4,8,2] => 1101001 => 1001011 => 0110100
[6,4,3,1,5,8,7,2] => 1110011 => 1100111 => 0011000
[7,4,1,5,3,8,6,2] => 1101011 => 1101011 => 0010100
[8,1,5,4,3,7,6,2] => 1011011 => 1101101 => 0010010
[8,1,5,4,3,7,2,6] => 1011010 => 0101101 => 1010010
[7,4,1,5,3,8,2,6] => 1101010 => 0101011 => 1010100
[7,4,1,5,3,2,6,8] => 1101100 => 0011011 => 1100100
[8,1,5,4,3,2,6,7] => 1011100 => 0011101 => 1100010
[8,1,6,4,2,5,3,7] => 1011010 => 0101101 => 1010010
[6,5,3,1,2,7,4,8] => 1110010 => 0100111 => 1011000
[6,5,3,8,1,4,2,7] => 1101010 => 0101011 => 1010100
[7,6,8,1,4,3,2,5] => 1010110 => 0110101 => 1001010
[8,1,7,2,5,4,3,6] => 1010110 => 0110101 => 1001010
[8,1,7,2,5,4,6,3] => 1010101 => 1010101 => 0101010
[7,6,1,2,5,4,8,3] => 1100101 => 1010011 => 0101100
[6,5,3,8,1,4,7,2] => 1101001 => 1001011 => 0110100
[6,5,3,1,2,7,8,4] => 1110001 => 1000111 => 0111000
[7,5,1,4,2,6,8,3] => 1101001 => 1001011 => 0110100
[8,1,6,4,2,5,7,3] => 1011001 => 1001101 => 0110010
[7,4,1,5,3,2,8,6] => 1101101 => 1011011 => 0100100
[6,4,3,1,5,2,8,7] => 1110101 => 1010111 => 0101000
[6,4,3,1,5,7,2,8] => 1110010 => 0100111 => 1011000
[7,4,1,5,3,6,2,8] => 1101010 => 0101011 => 1010100
[8,1,5,4,3,6,2,7] => 1011010 => 0101101 => 1010010
[8,1,5,4,3,6,7,2] => 1011001 => 1001101 => 0110010
[7,4,1,5,3,6,8,2] => 1101001 => 1001011 => 0110100
[6,4,3,1,5,7,8,2] => 1110001 => 1000111 => 0111000
[6,7,3,8,4,5,1,2] => 0101010 => 0101010 => 1010101
[6,7,4,5,1,8,2,3] => 0101010 => 0101010 => 1010101
[4,7,5,6,2,3,1,8] => 0101010 => 0101010 => 1010101
[4,7,5,6,1,8,2,3] => 0101010 => 0101010 => 1010101
[4,7,5,6,3,8,1,2] => 0101010 => 0101010 => 1010101
[3,7,5,8,4,6,1,2] => 0101010 => 0101010 => 1010101
[4,5,3,8,6,7,1,2] => 0101010 => 0101010 => 1010101
[4,8,3,6,5,7,1,2] => 0101010 => 0101010 => 1010101
[5,6,4,7,1,8,2,3] => 0101010 => 0101010 => 1010101
[5,6,1,7,3,8,2,4] => 0101010 => 0101010 => 1010101
[5,6,1,8,2,7,3,4] => 0101010 => 0101010 => 1010101
[5,6,1,8,4,7,2,3] => 0101010 => 0101010 => 1010101
[4,8,1,6,5,7,2,3] => 0101010 => 0101010 => 1010101
[4,5,1,8,6,7,2,3] => 0101010 => 0101010 => 1010101
[7,8,4,5,1,6,2,3] => 0101010 => 0101010 => 1010101
[4,8,2,3,1,6,5,7] => 0101010 => 0101010 => 1010101
[5,6,2,8,1,4,3,7] => 0101010 => 0101010 => 1010101
[5,6,3,4,1,8,2,7] => 0101010 => 0101010 => 1010101
[3,6,4,5,2,7,1,8] => 0101010 => 0101010 => 1010101
[3,6,4,5,1,8,2,7] => 0101010 => 0101010 => 1010101
[2,6,4,8,1,5,3,7] => 0101010 => 0101010 => 1010101
[2,8,3,6,1,5,4,7] => 0101010 => 0101010 => 1010101
[2,8,3,4,1,6,5,7] => 0101010 => 0101010 => 1010101
[7,8,2,5,3,4,1,6] => 0101010 => 0101010 => 1010101
[7,8,1,5,3,6,2,4] => 0101010 => 0101010 => 1010101
[1,5,3,8,6,7,2,4] => 0101010 => 0101010 => 1010101
[1,8,3,6,2,7,4,5] => 0101010 => 0101010 => 1010101
[1,6,4,8,2,7,3,5] => 0101010 => 0101010 => 1010101
[2,6,4,7,3,5,1,8] => 0101010 => 0101010 => 1010101
[2,7,3,6,4,5,1,8] => 0101010 => 0101010 => 1010101
[1,7,3,6,4,8,2,5] => 0101010 => 0101010 => 1010101
[1,7,2,8,4,6,3,5] => 0101010 => 0101010 => 1010101
[1,7,5,8,4,6,2,3] => 0101010 => 0101010 => 1010101
[1,7,5,8,2,6,3,4] => 0101010 => 0101010 => 1010101
[1,7,5,6,3,8,2,4] => 0101010 => 0101010 => 1010101
[2,7,5,6,3,4,1,8] => 0101010 => 0101010 => 1010101
[6,7,2,5,3,4,1,8] => 0101010 => 0101010 => 1010101
[6,7,1,5,3,8,2,4] => 0101010 => 0101010 => 1010101
[6,7,5,8,1,4,2,3] => 0101010 => 0101010 => 1010101
[5,8,6,7,2,3,1,4] => 0101010 => 0101010 => 1010101
[6,7,2,3,1,8,4,5] => 0101010 => 0101010 => 1010101
[6,7,2,8,1,4,3,5] => 0101010 => 0101010 => 1010101
[3,4,2,7,5,6,1,8] => 0101010 => 0101010 => 1010101
[3,4,1,7,5,8,2,6] => 0101010 => 0101010 => 1010101
[2,7,5,8,1,4,3,6] => 0101010 => 0101010 => 1010101
[2,3,1,7,5,8,4,6] => 0101010 => 0101010 => 1010101
[2,3,1,8,4,7,5,6] => 0101010 => 0101010 => 1010101
[7,8,2,3,1,6,4,5] => 0101010 => 0101010 => 1010101
[7,8,2,6,1,4,3,5] => 0101010 => 0101010 => 1010101
[2,8,6,7,1,4,3,5] => 0101010 => 0101010 => 1010101
[2,8,1,4,3,7,5,6] => 0101010 => 0101010 => 1010101
[3,7,2,5,4,6,1,8] => 0101010 => 0101010 => 1010101
[4,5,2,7,3,6,1,8] => 0101010 => 0101010 => 1010101
[4,5,1,8,2,7,3,6] => 0101010 => 0101010 => 1010101
[3,4,1,8,2,7,5,6] => 0101010 => 0101010 => 1010101
[3,4,1,8,6,7,2,5] => 0101010 => 0101010 => 1010101
[3,4,2,5,1,8,6,7] => 0101010 => 0101010 => 1010101
[3,4,2,8,1,6,5,7] => 0101010 => 0101010 => 1010101
[3,8,2,5,1,6,4,7] => 0101010 => 0101010 => 1010101
[4,5,2,8,1,6,3,7] => 0101010 => 0101010 => 1010101
[4,5,3,6,1,8,2,7] => 0101010 => 0101010 => 1010101
[8,6,7,1,4,2,5,3] => 1010101 => 1010101 => 0101010
[8,6,3,7,5,1,2,4] => 1101100 => 0011011 => 1100100
[7,6,1,8,3,5,2,4] => 1101010 => 0101011 => 1010100
[7,6,2,8,3,5,1,4] => 1101010 => 0101011 => 1010100
[7,6,2,3,8,5,1,4] => 1100110 => 0110011 => 1001100
[8,7,1,5,2,6,3,4] => 1101010 => 0101011 => 1010100
[8,7,1,5,2,3,6,4] => 1101001 => 1001011 => 0110100
[8,5,2,3,1,7,6,4] => 1101011 => 1101011 => 0010100
[8,6,2,3,7,1,5,4] => 1100101 => 1010011 => 0101100
[8,6,2,7,3,1,5,4] => 1101101 => 1011011 => 0100100
[8,7,2,5,1,6,3,4] => 1101010 => 0101011 => 1010100
[8,4,2,1,7,6,3,5] => 1110110 => 0110111 => 1001000
[8,5,7,2,1,4,3,6] => 1011010 => 0101101 => 1010010
[5,8,7,3,1,4,2,6] => 0111010 => 0101110 => 1010001
[5,8,7,3,1,4,6,2] => 0111001 => 1001110 => 0110001
[8,5,7,2,1,4,6,3] => 1011001 => 1001101 => 0110010
[8,4,2,1,3,7,6,5] => 1110011 => 1100111 => 0011000
[8,4,3,1,7,2,6,5] => 1110101 => 1010111 => 0101000
[8,6,1,3,7,2,5,4] => 1100101 => 1010011 => 0101100
[8,5,1,3,2,7,6,4] => 1101011 => 1101011 => 0010100
[6,1,5,8,4,2,7,3] => 1001101 => 1011001 => 0100110
[5,2,8,6,4,1,3,7] => 1011100 => 0011101 => 1100010
[8,4,7,5,1,6,2,3] => 1011010 => 0101101 => 1010010
[8,4,7,5,1,2,3,6] => 1011000 => 0001101 => 1110010
[8,7,3,5,1,2,6,4] => 1101001 => 1001011 => 0110100
[8,3,2,6,5,1,4,7] => 1101100 => 0011011 => 1100100
[4,8,6,3,5,1,2,7] => 0110100 => 0010110 => 1101001
[4,8,7,3,1,5,2,6] => 0111010 => 0101110 => 1010001
[8,4,7,2,1,5,3,6] => 1011010 => 0101101 => 1010010
[8,7,3,1,4,2,6,5] => 1110101 => 1010111 => 0101000
[8,7,3,1,2,6,4,5] => 1110010 => 0100111 => 1011000
[8,7,3,1,2,4,6,5] => 1110001 => 1000111 => 0111000
[8,3,2,1,4,7,6,5] => 1110011 => 1100111 => 0011000
[8,3,2,1,7,4,6,5] => 1110101 => 1010111 => 0101000
[8,3,2,7,1,5,6,4] => 1101001 => 1001011 => 0110100
[8,4,7,2,1,5,6,3] => 1011001 => 1001101 => 0110010
[8,7,2,1,6,3,4,5] => 1110100 => 0010111 => 1101000
[3,6,5,4,1,2,8,7] => 0111001 => 1001110 => 0110001
[3,8,5,6,7,4,1,2] => 0100110 => 0110010 => 1001101
[4,7,5,8,6,2,1,3] => 0101110 => 0111010 => 1000101
[2,5,7,8,6,3,4,1] => 0001101 => 1011000 => 0100111
[4,8,5,7,6,3,1,2] => 0101110 => 0111010 => 1000101
[4,6,3,2,1,5,8,7] => 0111001 => 1001110 => 0110001
[6,2,1,5,3,4,8,7] => 1101001 => 1001011 => 0110100
[5,8,1,3,7,6,4,2] => 0100111 => 1110010 => 0001101
[4,7,2,3,6,1,8,5] => 0100101 => 1010010 => 0101101
[3,7,4,2,8,1,5,6] => 0110100 => 0010110 => 1101001
[4,2,6,8,5,7,3,1] => 1001011 => 1101001 => 0010110
[6,4,2,7,3,8,5,1] => 1101011 => 1101011 => 0010100
[8,1,6,7,5,3,4,2] => 1001101 => 1011001 => 0100110
[2,1,5,8,7,6,3,4] => 1001110 => 0111001 => 1000110
[2,1,4,7,6,3,8,5] => 1001101 => 1011001 => 0100110
[6,4,7,8,5,3,2,1] => 1001111 => 1111001 => 0000110
[4,1,3,7,6,2,8,5] => 1001101 => 1011001 => 0100110
[8,5,1,6,3,2,7,4] => 1101101 => 1011011 => 0100100
[6,3,7,1,5,2,8,4] => 1010101 => 1010101 => 0101010
[3,2,6,8,4,7,5,1] => 1001011 => 1101001 => 0010110
[8,4,6,1,3,2,5,7] => 1010100 => 0010101 => 1101010
[4,2,8,6,7,3,1,5] => 1010110 => 0110101 => 1001010
[7,4,3,8,2,1,5,6] => 1101100 => 0011011 => 1100100
[4,7,5,8,1,6,3,2] => 0101011 => 1101010 => 0010101
[6,4,3,2,7,8,1,5] => 1110010 => 0100111 => 1011000
[4,2,5,1,6,7,8,3] => 1010001 => 1000101 => 0111010
[2,4,8,5,7,1,3,6] => 0010100 => 0010100 => 1101011
[3,7,1,4,6,8,5,2] => 0100011 => 1100010 => 0011101
[7,8,2,5,6,1,4,3] => 0100101 => 1010010 => 0101101
[2,4,3,8,7,5,6,1] => 0101101 => 1011010 => 0100101
[2,6,7,3,5,1,8,4] => 0010101 => 1010100 => 0101011
[7,6,8,4,2,5,3,1] => 1011011 => 1101101 => 0010010
[8,5,7,1,6,3,2,4] => 1010110 => 0110101 => 1001010
[6,5,7,2,8,4,3,1] => 1010111 => 1110101 => 0001010
[3,4,8,6,5,2,1,7] => 0011110 => 0111100 => 1000011
[2,7,6,1,4,5,8,3] => 0110001 => 1000110 => 0111001
[6,5,8,2,1,7,3,4] => 1011010 => 0101101 => 1010010
[7,4,3,5,1,6,8,2] => 1101001 => 1001011 => 0110100
[4,1,6,3,5,8,7,2] => 1010011 => 1100101 => 0011010
[6,2,5,8,4,3,7,1] => 1001101 => 1011001 => 0100110
[8,6,7,1,5,4,3,2] => 1010111 => 1110101 => 0001010
[2,1,6,5,8,4,7,3] => 1010101 => 1010101 => 0101010
[2,1,6,8,5,4,3,7] => 1001110 => 0111001 => 1000110
[4,1,8,5,6,2,3,7] => 1010100 => 0010101 => 1101010
[2,6,4,8,7,3,5,1] => 0101101 => 1011010 => 0100101
[6,2,8,4,3,5,1,7] => 1011010 => 0101101 => 1010010
[4,8,2,7,6,1,3,5] => 0101100 => 0011010 => 1100101
[3,1,8,2,7,5,4,6] => 1010110 => 0110101 => 1001010
[3,8,1,2,6,7,4,5] => 0100010 => 0100010 => 1011101
[5,8,4,3,2,7,1,6] => 0111010 => 0101110 => 1010001
[7,4,8,6,3,2,5,1] => 1011101 => 1011101 => 0100010
[5,8,4,7,2,1,3,6] => 0101100 => 0011010 => 1100101
[2,1,8,4,3,7,5,6] => 1011010 => 0101101 => 1010010
[6,3,8,2,4,5,7,1] => 1010001 => 1000101 => 0111010
[5,8,4,2,3,6,1,7] => 0110010 => 0100110 => 1011001
[5,8,2,4,3,1,6,7] => 0101100 => 0011010 => 1100101
[2,8,3,1,6,4,5,7] => 0110100 => 0010110 => 1101001
[8,2,1,3,4,7,5,6] => 1100010 => 0100011 => 1011100
[1,4,8,2,6,3,5,7] => 0010100 => 0010100 => 1101011
[1,2,7,3,5,4,8,6] => 0010101 => 1010100 => 0101011
[1,2,3,8,4,5,7,6] => 0001001 => 1001000 => 0110111
[1,2,8,3,4,5,7,6] => 0010001 => 1000100 => 0111011
[1,3,8,2,6,4,5,7] => 0010100 => 0010100 => 1101011
[1,5,7,2,3,6,4,8] => 0010010 => 0100100 => 1011011
[1,7,2,3,5,4,8,6] => 0100101 => 1010010 => 0101101
[1,3,8,2,4,5,7,6] => 0010001 => 1000100 => 0111011
[1,2,3,8,4,6,7,5] => 0001001 => 1001000 => 0110111
[1,8,2,3,5,4,6,7] => 0100100 => 0010010 => 1101101
[1,7,8,2,3,6,4,5] => 0010010 => 0100100 => 1011011
[1,6,7,8,2,3,5,4] => 0001001 => 1001000 => 0110111
[1,7,8,2,5,3,6,4] => 0010101 => 1010100 => 0101011
[1,7,8,2,4,5,3,6] => 0010010 => 0100100 => 1011011
[1,2,8,3,6,4,5,7] => 0010100 => 0010100 => 1101011
[1,8,2,3,6,4,5,7] => 0100100 => 0010010 => 1101101
[1,2,8,3,5,4,6,7] => 0010100 => 0010100 => 1101011
[1,2,7,8,3,6,4,5] => 0001010 => 0101000 => 1010111
[1,5,2,7,8,3,6,4] => 0100101 => 1010010 => 0101101
[1,3,2,8,4,6,7,5] => 0101001 => 1001010 => 0110101
[1,8,2,3,4,6,7,5] => 0100001 => 1000010 => 0111101
[1,7,8,2,4,3,6,5] => 0010101 => 1010100 => 0101011
[7,6,3,1,5,2,4,8] => 1110100 => 0010111 => 1101000
[6,7,3,1,5,2,8,4] => 0110101 => 1010110 => 0101001
[6,8,3,1,5,2,7,4] => 0110101 => 1010110 => 0101001
[6,8,4,5,1,2,7,3] => 0101001 => 1001010 => 0110101
[6,7,4,5,1,2,8,3] => 0101001 => 1001010 => 0110101
[7,2,1,6,5,3,4,8] => 1101100 => 0011011 => 1100100
[7,3,6,1,5,2,4,8] => 1010100 => 0010101 => 1101010
[7,4,6,5,1,2,3,8] => 1011000 => 0001101 => 1110010
[6,7,5,4,1,2,8,3] => 0111001 => 1001110 => 0110001
[5,8,6,4,1,7,2,3] => 0111010 => 0101110 => 1010001
[5,7,6,4,1,8,2,3] => 0111010 => 0101110 => 1010001
[5,6,7,4,1,8,2,3] => 0011010 => 0101100 => 1010011
[6,5,7,4,1,2,8,3] => 1011001 => 1001101 => 0110010
[6,4,7,5,1,2,8,3] => 1011001 => 1001101 => 0110010
[6,2,1,7,5,3,8,4] => 1101101 => 1011011 => 0100100
[6,3,8,1,5,2,7,4] => 1010101 => 1010101 => 0101010
[6,4,8,5,1,2,7,3] => 1011001 => 1001101 => 0110010
[6,5,8,4,1,2,7,3] => 1011001 => 1001101 => 0110010
[5,6,8,4,1,7,2,3] => 0011010 => 0101100 => 1010011
[4,6,8,5,7,1,2,3] => 0010100 => 0010100 => 1101011
[4,5,8,6,7,1,2,3] => 0010100 => 0010100 => 1101011
[5,4,8,6,1,7,2,3] => 1011010 => 0101101 => 1010010
[5,3,8,1,6,7,2,4] => 1010010 => 0100101 => 1011010
[5,2,1,8,6,7,3,4] => 1101010 => 0101011 => 1010100
[5,2,1,7,6,8,3,4] => 1101010 => 0101011 => 1010100
[5,4,7,6,1,8,2,3] => 1011010 => 0101101 => 1010010
[4,5,7,6,8,1,2,3] => 0010100 => 0010100 => 1101011
[4,6,7,5,8,1,2,3] => 0010100 => 0010100 => 1101011
[4,8,6,5,7,1,2,3] => 0110100 => 0010110 => 1101001
[4,8,5,6,7,1,2,3] => 0100100 => 0010010 => 1101101
[4,7,5,6,8,1,2,3] => 0100100 => 0010010 => 1101101
[4,6,5,7,8,1,2,3] => 0100100 => 0010010 => 1101101
[5,7,4,6,1,8,2,3] => 0101010 => 0101010 => 1010101
[5,8,4,6,1,7,2,3] => 0101010 => 0101010 => 1010101
[5,8,3,1,6,7,2,4] => 0110010 => 0100110 => 1011001
[5,7,3,1,6,8,2,4] => 0110010 => 0100110 => 1011001
[5,6,3,1,7,8,2,4] => 0110010 => 0100110 => 1011001
[6,2,1,4,3,8,7,5] => 1101011 => 1101011 => 0010100
[5,8,3,1,7,6,2,4] => 0110110 => 0110110 => 1001001
[5,7,4,8,1,6,2,3] => 0101010 => 0101010 => 1010101
[5,2,1,6,8,7,3,4] => 1100110 => 0110011 => 1001100
[5,4,6,8,1,7,2,3] => 1001010 => 0101001 => 1010110
[4,5,6,8,7,1,2,3] => 0001100 => 0011000 => 1100111
[4,7,5,8,6,1,2,3] => 0101100 => 0011010 => 1100101
[4,8,5,7,6,1,2,3] => 0101100 => 0011010 => 1100101
[4,8,6,7,5,1,2,3] => 0101100 => 0011010 => 1100101
[4,7,6,8,5,1,2,3] => 0101100 => 0011010 => 1100101
[4,6,7,8,5,1,2,3] => 0001100 => 0011000 => 1100111
[4,5,7,8,6,1,2,3] => 0001100 => 0011000 => 1100111
[5,4,7,8,1,6,2,3] => 1001010 => 0101001 => 1010110
[5,3,7,1,8,6,2,4] => 1010110 => 0110101 => 1001010
[5,2,1,7,8,6,3,4] => 1100110 => 0110011 => 1001100
[5,3,8,1,7,6,2,4] => 1010110 => 0110101 => 1001010
[5,4,8,7,1,6,2,3] => 1011010 => 0101101 => 1010010
[4,6,8,7,5,1,2,3] => 0011100 => 0011100 => 1100011
[4,7,8,6,5,1,2,3] => 0011100 => 0011100 => 1100011
[4,8,7,6,5,1,2,3] => 0111100 => 0011110 => 1100001
[2,5,4,7,3,6,1,8] => 0101010 => 0101010 => 1010101
[2,4,6,3,7,5,1,8] => 0010110 => 0110100 => 1001011
[4,2,7,3,6,5,1,8] => 1010110 => 0110101 => 1001010
[4,2,6,3,1,5,8,7] => 1011001 => 1001101 => 0110010
[2,5,3,1,6,4,8,7] => 0110101 => 1010110 => 0101001
[2,5,3,7,6,4,1,8] => 0101110 => 0111010 => 1000101
[2,6,5,3,7,4,1,8] => 0110110 => 0110110 => 1001001
[4,2,7,6,3,5,1,8] => 1011010 => 0101101 => 1010010
[2,7,5,3,6,4,1,8] => 0110110 => 0110110 => 1001001
[2,6,3,7,5,4,1,8] => 0101110 => 0111010 => 1000101
[1,7,5,2,3,8,4,6] => 0110010 => 0100110 => 1011001
[2,1,3,7,5,4,8,6] => 1001101 => 1011001 => 0100110
[2,3,1,8,6,5,4,7] => 0101110 => 0111010 => 1000101
[2,5,3,1,8,6,4,7] => 0110110 => 0110110 => 1001001
[4,2,8,3,1,6,5,7] => 1011010 => 0101101 => 1010010
[8,3,2,6,4,1,5,7] => 1101100 => 0011011 => 1100100
[3,6,8,2,1,4,5,7] => 0011000 => 0001100 => 1110011
[1,5,2,8,3,4,7,6] => 0101001 => 1001010 => 0110101
[1,2,6,3,8,7,4,5] => 0010110 => 0110100 => 1001011
[1,2,8,3,6,4,7,5] => 0010101 => 1010100 => 0101011
[1,2,7,6,3,4,8,5] => 0011001 => 1001100 => 0110011
[2,1,3,8,7,5,4,6] => 1001110 => 0111001 => 1000110
[1,2,3,8,6,4,7,5] => 0001101 => 1011000 => 0100111
[1,2,3,7,4,8,6,5] => 0001011 => 1101000 => 0010111
[1,2,7,6,3,8,4,5] => 0011010 => 0101100 => 1010011
[1,2,3,6,4,8,7,5] => 0001011 => 1101000 => 0010111
[1,2,3,7,6,4,8,5] => 0001101 => 1011000 => 0100111
[2,6,3,1,8,5,4,7] => 0110110 => 0110110 => 1001001
[2,1,3,8,5,4,7,6] => 1001101 => 1011001 => 0100110
[7,1,8,4,2,3,5,6] => 1011000 => 0001101 => 1110010
[2,1,8,4,3,5,7,6] => 1011001 => 1001101 => 0110010
[4,2,6,3,1,8,5,7] => 1011010 => 0101101 => 1010010
[5,4,2,8,3,1,6,7] => 1101100 => 0011011 => 1100100
[3,5,8,2,4,1,6,7] => 0010100 => 0010100 => 1101011
[2,5,4,8,3,1,6,7] => 0101100 => 0011010 => 1100101
[4,2,1,8,3,5,7,6] => 1101001 => 1001011 => 0110100
[1,8,7,4,2,3,5,6] => 0111000 => 0001110 => 1110001
[1,5,2,8,7,3,4,6] => 0101100 => 0011010 => 1100101
[1,2,7,3,6,4,8,5] => 0010101 => 1010100 => 0101011
[1,2,8,6,3,7,4,5] => 0011010 => 0101100 => 1010011
[1,2,7,3,8,6,4,5] => 0010110 => 0110100 => 1001011
[1,2,3,8,4,7,6,5] => 0001011 => 1101000 => 0010111
[1,2,7,3,4,8,6,5] => 0010011 => 1100100 => 0011011
[1,2,6,3,8,4,7,5] => 0010101 => 1010100 => 0101011
[1,5,2,3,8,7,4,6] => 0100110 => 0110010 => 1001101
[4,2,1,8,3,7,5,6] => 1101010 => 0101011 => 1010100
[8,3,2,1,7,4,5,6] => 1110100 => 0010111 => 1101000
[1,8,4,2,7,3,5,6] => 0110100 => 0010110 => 1101001
[1,2,8,6,3,4,7,5] => 0011001 => 1001100 => 0110011
[1,2,7,3,8,4,6,5] => 0010101 => 1010100 => 0101011
[1,2,3,8,7,4,6,5] => 0001101 => 1011000 => 0100111
[1,2,3,8,7,6,4,5] => 0001110 => 0111000 => 1000111
[2,5,3,8,1,6,4,7] => 0101010 => 0101010 => 1010101
[2,6,4,7,1,5,3,8] => 0101010 => 0101010 => 1010101
[2,6,5,7,1,4,3,8] => 0101010 => 0101010 => 1010101
[3,8,5,7,1,2,6,4] => 0101001 => 1001010 => 0110101
[3,8,5,7,2,6,4,1] => 0101011 => 1101010 => 0010101
[3,4,8,6,2,5,7,1] => 0011001 => 1001100 => 0110011
[3,4,8,6,1,2,5,7] => 0011000 => 0001100 => 1110011
[2,5,7,1,4,8,6,3] => 0010011 => 1100100 => 0011011
[2,4,8,1,5,7,6,3] => 0010011 => 1100100 => 0011011
[2,4,3,8,1,6,5,7] => 0101010 => 0101010 => 1010101
[2,8,1,7,5,6,4,3] => 0101011 => 1101010 => 0010101
[2,3,8,1,6,5,7,4] => 0010101 => 1010100 => 0101011
[2,4,8,1,3,5,7,6] => 0010001 => 1000100 => 0111011
[3,5,7,6,1,2,4,8] => 0011000 => 0001100 => 1110011
[3,5,7,6,2,4,8,1] => 0011001 => 1001100 => 0110011
[4,8,6,7,2,3,5,1] => 0101001 => 1001010 => 0110101
[4,8,6,7,1,2,3,5] => 0101000 => 0001010 => 1110101
[4,8,6,7,1,3,5,2] => 0101001 => 1001010 => 0110101
[3,4,8,6,1,5,7,2] => 0011001 => 1001100 => 0110011
[3,8,5,7,1,6,4,2] => 0101011 => 1101010 => 0010101
[3,2,8,5,6,1,7,4] => 1010101 => 1010101 => 0101010
[3,8,5,7,2,1,6,4] => 0101101 => 1011010 => 0100101
[3,4,8,6,2,1,5,7] => 0011100 => 0011100 => 1100011
[3,5,7,6,2,1,4,8] => 0011100 => 0011100 => 1100011
[4,8,6,7,2,1,3,5] => 0101100 => 0011010 => 1100101
[4,8,6,7,3,5,2,1] => 0101011 => 1101010 => 0010101
[5,8,6,7,3,4,2,1] => 0101011 => 1101010 => 0010101
[5,8,6,7,2,1,3,4] => 0101100 => 0011010 => 1100101
[5,8,6,7,2,1,4,3] => 0101101 => 1011010 => 0100101
[4,8,6,7,2,1,5,3] => 0101101 => 1011010 => 0100101
[4,3,1,7,5,2,8,6] => 1101101 => 1011011 => 0100100
[4,3,2,8,5,1,7,6] => 1101101 => 1011011 => 0100100
[4,3,8,5,1,6,7,2] => 1011001 => 1001101 => 0110010
[4,8,6,7,1,5,3,2] => 0101011 => 1101010 => 0010101
[5,8,6,7,1,4,3,2] => 0101011 => 1101010 => 0010101
[5,8,6,7,2,3,4,1] => 0101001 => 1001010 => 0110101
[5,8,6,7,2,4,3,1] => 0101011 => 1101010 => 0010101
[5,8,6,7,1,2,4,3] => 0101001 => 1001010 => 0110101
[4,2,3,8,5,1,6,7] => 1001100 => 0011001 => 1100110
[4,2,8,5,1,7,6,3] => 1011011 => 1101101 => 0010010
[3,4,2,8,5,6,1,7] => 0101010 => 0101010 => 1010101
[3,2,4,8,6,1,5,7] => 1001100 => 0011001 => 1100110
[3,2,5,7,6,1,4,8] => 1001100 => 0011001 => 1100110
[4,8,6,7,1,3,2,5] => 0101010 => 0101010 => 1010101
[4,8,6,7,1,2,5,3] => 0101001 => 1001010 => 0110101
[4,8,6,7,2,5,3,1] => 0101011 => 1101010 => 0010101
[4,3,8,5,2,6,7,1] => 1011001 => 1001101 => 0110010
[4,3,8,5,1,2,6,7] => 1011000 => 0001101 => 1110010
[4,2,6,7,5,1,3,8] => 1001100 => 0011001 => 1100110
[3,8,5,7,1,4,2,6] => 0101010 => 0101010 => 1010101
[3,8,4,7,1,5,2,6] => 0101010 => 0101010 => 1010101
[3,5,2,8,4,6,1,7] => 0101010 => 0101010 => 1010101
[3,5,1,7,4,6,2,8] => 0101010 => 0101010 => 1010101
[3,8,4,7,2,5,1,6] => 0101010 => 0101010 => 1010101
[4,1,3,8,5,2,6,7] => 1001100 => 0011001 => 1100110
[4,1,2,6,7,5,3,8] => 1000110 => 0110001 => 1001110
[4,2,6,7,5,3,8,1] => 1001101 => 1011001 => 0100110
[4,8,6,7,3,2,5,1] => 0101101 => 1011010 => 0100101
[4,8,6,7,3,1,2,5] => 0101100 => 0011010 => 1100101
[3,1,5,7,6,2,4,8] => 1001100 => 0011001 => 1100110
[3,4,1,7,5,6,2,8] => 0101010 => 0101010 => 1010101
[4,1,7,5,2,8,6,3] => 1011011 => 1101101 => 0010010
[4,1,6,7,5,2,3,8] => 1001100 => 0011001 => 1100110
[4,8,6,7,2,3,1,5] => 0101010 => 0101010 => 1010101
[5,8,6,7,3,2,4,1] => 0101101 => 1011010 => 0100101
[5,8,6,7,4,2,3,1] => 0101101 => 1011010 => 0100101
[5,8,6,7,4,1,2,3] => 0101100 => 0011010 => 1100101
[5,8,6,7,4,1,3,2] => 0101101 => 1011010 => 0100101
[5,8,6,7,3,1,4,2] => 0101101 => 1011010 => 0100101
[4,8,6,7,3,1,5,2] => 0101101 => 1011010 => 0100101
[4,1,6,7,5,3,8,2] => 1001101 => 1011001 => 0100110
[4,1,7,5,3,2,8,6] => 1011101 => 1011101 => 0100010
[4,2,8,5,3,1,7,6] => 1011101 => 1011101 => 0100010
[4,2,1,6,7,5,3,8] => 1100110 => 0110011 => 1001100
[4,8,6,7,3,2,1,5] => 0101110 => 0111010 => 1000101
[5,8,6,7,4,2,1,3] => 0101110 => 0111010 => 1000101
[5,8,6,7,4,3,1,2] => 0101110 => 0111010 => 1000101
[7,3,5,8,1,4,2,6] => 1001010 => 0101001 => 1010110
[3,8,7,6,1,4,2,5] => 0111010 => 0101110 => 1010001
[5,1,8,3,6,7,2,4] => 1010010 => 0100101 => 1011010
[1,4,7,8,5,6,2,3] => 0001010 => 0101000 => 1010111
[3,4,7,1,5,8,6,2] => 0010011 => 1100100 => 0011011
[3,6,1,4,7,8,5,2] => 0100011 => 1100010 => 0011101
[1,6,8,4,7,5,2,3] => 0010110 => 0110100 => 1001011
[6,8,1,3,5,7,2,4] => 0100010 => 0100010 => 1011101
[7,6,1,4,3,8,2,5] => 1101010 => 0101011 => 1010100
[3,8,1,6,5,4,2,7] => 0101110 => 0111010 => 1000101
[4,1,3,7,5,8,2,6] => 1001010 => 0101001 => 1010110
[6,1,7,3,8,4,2,5] => 1010110 => 0110101 => 1001010
[7,1,8,6,3,5,2,4] => 1011010 => 0101101 => 1010010
[3,1,7,6,5,8,4,2] => 1011011 => 1101101 => 0010010
[8,2,7,6,5,3,4,1] => 1011101 => 1011101 => 0100010
[8,4,2,6,7,5,3,1] => 1100111 => 1110011 => 0001100
[4,8,1,6,7,5,3,2] => 0100111 => 1110010 => 0001101
[7,4,1,6,8,2,5,3] => 1100101 => 1010011 => 0101100
[1,3,8,6,2,7,5,4] => 0011011 => 1101100 => 0010011
[6,1,3,2,7,8,4,5] => 1010010 => 0100101 => 1011010
[1,8,6,2,5,3,4,7] => 0110100 => 0010110 => 1101001
[4,7,2,6,8,1,5,3] => 0100101 => 1010010 => 0101101
[8,7,3,6,4,5,2,1] => 1101011 => 1101011 => 0010100
[5,7,8,6,2,1,4,3] => 0011101 => 1011100 => 0100011
[2,7,4,1,6,8,3,5] => 0110010 => 0100110 => 1011001
[3,7,2,4,5,1,6,8] => 0100100 => 0010010 => 1101101
[1,8,6,4,5,2,3,7] => 0110100 => 0010110 => 1101001
[2,8,4,6,5,1,3,7] => 0101100 => 0011010 => 1100101
[3,4,1,7,5,2,6,8] => 0101100 => 0011010 => 1100101
[7,5,8,6,1,2,4,3] => 1011001 => 1001101 => 0110010
[5,6,8,7,3,1,4,2] => 0011101 => 1011100 => 0100011
[2,5,4,3,6,8,1,7] => 0110010 => 0100110 => 1011001
[3,8,5,4,6,2,1,7] => 0110110 => 0110110 => 1001001
[4,8,2,1,3,7,5,6] => 0110010 => 0100110 => 1011001
[6,4,1,2,7,5,8,3] => 1100101 => 1010011 => 0101100
[4,1,8,3,6,7,5,2] => 1010011 => 1100101 => 0011010
[8,3,7,4,5,2,6,1] => 1010101 => 1010101 => 0101010
[4,3,7,8,5,1,6,2] => 1001101 => 1011001 => 0100110
[5,4,8,2,7,6,1,3] => 1010110 => 0110101 => 1001010
[1,2,7,3,6,5,8,4] => 0010101 => 1010100 => 0101011
[2,8,7,6,3,4,1,5] => 0111010 => 0101110 => 1010001
[5,8,2,6,3,4,1,7] => 0101010 => 0101010 => 1010101
[4,1,7,5,8,6,2,3] => 1010110 => 0110101 => 1001010
[5,1,7,8,4,3,6,2] => 1001101 => 1011001 => 0100110
[8,2,7,5,4,3,6,1] => 1011101 => 1011101 => 0100010
[6,3,8,1,4,7,5,2] => 1010011 => 1100101 => 0011010
[3,8,4,5,6,1,2,7] => 0100100 => 0010010 => 1101101
[1,4,3,5,7,8,2,6] => 0100010 => 0100010 => 1011101
[6,5,8,7,1,3,4,2] => 1011001 => 1001101 => 0110010
[3,6,7,2,4,8,1,5] => 0010010 => 0100100 => 1011011
[1,5,2,7,4,3,8,6] => 0101101 => 1011010 => 0100101
[2,8,5,6,4,3,1,7] => 0101110 => 0111010 => 1000101
[1,8,6,5,4,3,2,7] => 0111110 => 0111110 => 1000001
[6,1,5,2,8,4,7,3] => 1010101 => 1010101 => 0101010
[4,6,1,8,5,7,2,3] => 0101010 => 0101010 => 1010101
[4,7,1,2,8,5,6,3] => 0100101 => 1010010 => 0101101
[1,4,7,2,8,5,6,3] => 0010101 => 1010100 => 0101011
[1,7,3,5,8,6,2,4] => 0100110 => 0110010 => 1001101
[7,3,5,8,6,1,2,4] => 1001100 => 0011001 => 1100110
[3,6,8,1,5,7,2,4] => 0010010 => 0100100 => 1011011
[3,4,6,5,8,1,7,2] => 0010101 => 1010100 => 0101011
[6,8,1,5,7,2,3,4] => 0100100 => 0010010 => 1101101
[7,1,2,5,8,6,3,4] => 1000110 => 0110001 => 1001110
[1,7,2,5,8,6,3,4] => 0100110 => 0110010 => 1001101
[1,7,6,8,2,3,5,4] => 0101001 => 1001010 => 0110101
[7,6,8,1,2,3,5,4] => 1010001 => 1000101 => 0111010
[2,7,1,5,8,6,3,4] => 0100110 => 0110010 => 1001101
[2,4,7,1,8,5,6,3] => 0010101 => 1010100 => 0101011
[4,7,5,8,3,1,6,2] => 0101101 => 1011010 => 0100101
[4,7,2,1,8,5,6,3] => 0110101 => 1010110 => 0101001
[7,6,8,2,1,3,5,4] => 1011001 => 1001101 => 0110010
[1,2,7,6,8,3,5,4] => 0010101 => 1010100 => 0101011
[3,7,6,8,2,1,5,4] => 0101101 => 1011010 => 0100101
[7,4,2,1,6,8,5,3] => 1110011 => 1100111 => 0011000
[6,7,4,1,8,5,3,2] => 0110111 => 1110110 => 0001001
[6,7,4,3,1,8,5,2] => 0111011 => 1101110 => 0010001
[2,7,4,1,6,8,5,3] => 0110011 => 1100110 => 0011001
[2,3,7,6,8,1,5,4] => 0010101 => 1010100 => 0101011
[7,4,2,6,8,5,1,3] => 1100110 => 0110011 => 1001100
[7,3,2,5,8,6,1,4] => 1100110 => 0110011 => 1001100
[3,1,7,6,8,2,5,4] => 1010101 => 1010101 => 0101010
[3,7,6,8,1,2,5,4] => 0101001 => 1001010 => 0110101
[1,3,7,6,8,2,5,4] => 0010101 => 1010100 => 0101011
[1,7,4,2,6,8,5,3] => 0110011 => 1100110 => 0011001
[7,4,1,2,6,8,5,3] => 1100011 => 1100011 => 0011100
[7,1,4,2,8,5,6,3] => 1010101 => 1010101 => 0101010
[7,1,8,2,5,4,6,3] => 1010101 => 1010101 => 0101010
[7,3,8,4,6,1,5,2] => 1010101 => 1010101 => 0101010
[7,2,8,1,6,4,5,3] => 1010101 => 1010101 => 0101010
[7,1,6,8,5,4,2,3] => 1001110 => 0111001 => 1000110
[7,1,2,6,8,5,4,3] => 1000111 => 1110001 => 0001110
[1,7,2,6,8,5,4,3] => 0100111 => 1110010 => 0001101
[1,7,6,8,3,2,5,4] => 0101101 => 1011010 => 0100101
[7,6,8,3,1,2,5,4] => 1011001 => 1001101 => 0110010
[7,1,5,8,6,3,2,4] => 1001110 => 0111001 => 1000110
[7,2,5,8,6,3,1,4] => 1001110 => 0111001 => 1000110
[3,6,7,1,8,5,4,2] => 0010111 => 1110100 => 0001011
[7,2,6,8,5,4,1,3] => 1001110 => 0111001 => 1000110
[7,6,8,2,3,1,5,4] => 1010101 => 1010101 => 0101010
[2,7,6,8,3,1,5,4] => 0101101 => 1011010 => 0100101
[2,7,1,6,8,5,4,3] => 0100111 => 1110010 => 0001101
[6,7,3,1,8,5,4,2] => 0110111 => 1110110 => 0001001
[6,7,1,8,5,4,3,2] => 0101111 => 1111010 => 0000101
[7,2,1,6,8,5,4,3] => 1100111 => 1110011 => 0001100
[7,6,8,3,2,1,5,4] => 1011101 => 1011101 => 0100010
[4,7,8,5,6,1,3,2] => 0010101 => 1010100 => 0101011
[4,6,5,8,7,1,3,2] => 0101101 => 1011010 => 0100101
[5,6,4,8,1,2,7,3] => 0101001 => 1001010 => 0110101
[8,1,5,6,7,2,4,3] => 1000101 => 1010001 => 0101110
[6,4,5,1,8,2,7,3] => 1010101 => 1010101 => 0101010
[5,4,6,7,1,2,8,3] => 1001001 => 1001001 => 0110110
[4,3,6,7,2,1,5,8] => 1001100 => 0011001 => 1100110
[5,3,6,7,1,4,2,8] => 1001010 => 0101001 => 1010110
[8,1,4,6,7,3,2,5] => 1000110 => 0110001 => 1001110
[8,1,3,6,7,4,5,2] => 1000101 => 1010001 => 0101110
[7,2,1,6,8,4,5,3] => 1100101 => 1010011 => 0101100
[5,2,6,7,1,4,8,3] => 1001001 => 1001001 => 0110110
[4,2,6,7,3,1,8,5] => 1001101 => 1011001 => 0100110
[6,2,4,1,5,8,7,3] => 1010011 => 1100101 => 0011010
[7,2,1,5,4,8,6,3] => 1101011 => 1101011 => 0010100
[8,1,4,5,3,7,2,6] => 1001010 => 0101001 => 1010110
[7,3,1,5,4,8,2,6] => 1101010 => 0101011 => 1010100
[6,3,4,1,5,8,2,7] => 1010010 => 0100101 => 1011010
[5,3,4,2,1,8,6,7] => 1011010 => 0101101 => 1010010
[4,3,5,2,7,1,6,8] => 1010100 => 0010101 => 1101010
[5,6,3,8,1,4,2,7] => 0101010 => 0101010 => 1010101
[8,1,7,2,4,5,6,3] => 1010001 => 1000101 => 0111010
[7,6,1,2,4,5,8,3] => 1100001 => 1000011 => 0111100
[4,7,8,2,3,1,6,5] => 0010101 => 1010100 => 0101011
[5,6,2,8,1,4,7,3] => 0101001 => 1001010 => 0110101
[6,5,2,1,3,7,8,4] => 1110001 => 1000111 => 0111000
[7,5,1,3,2,6,8,4] => 1101001 => 1001011 => 0110100
[8,1,6,3,2,5,7,4] => 1011001 => 1001101 => 0110010
[7,4,1,3,5,2,8,6] => 1100101 => 1010011 => 0101100
[5,4,2,3,1,6,8,7] => 1101001 => 1001011 => 0110100
[7,3,1,4,5,6,2,8] => 1100010 => 0100011 => 1011100
[8,1,4,3,5,6,2,7] => 1010010 => 0100101 => 1011010
[6,2,3,1,5,7,8,4] => 1010001 => 1000101 => 0111010
[7,8,4,2,1,6,5,3] => 0111011 => 1101110 => 0010001
[7,8,4,2,1,5,6,3] => 0111001 => 1001110 => 0110001
[6,2,3,4,8,7,1,5] => 1000110 => 0110001 => 1001110
[6,2,3,4,7,8,1,5] => 1000010 => 0100001 => 1011110
[7,8,3,4,6,2,1,5] => 0100110 => 0110010 => 1001101
[7,8,3,6,4,2,1,5] => 0101110 => 0111010 => 1000101
[7,8,3,5,6,2,1,4] => 0100110 => 0110010 => 1001101
[6,2,3,8,7,5,1,4] => 1001110 => 0111001 => 1000110
[6,2,3,7,8,5,1,4] => 1000110 => 0110001 => 1001110
[5,2,6,3,8,1,7,4] => 1010101 => 1010101 => 0101010
[6,3,2,5,8,7,1,4] => 1100110 => 0110011 => 1001100
[6,3,2,8,4,7,1,5] => 1101010 => 0101011 => 1010100
[6,4,3,8,7,5,1,2] => 1101110 => 0111011 => 1000100
[6,4,3,7,8,5,1,2] => 1100110 => 0110011 => 1001100
[6,2,4,1,7,3,5,8] => 1010100 => 0010101 => 1101010
[6,3,2,7,4,8,1,5] => 1101010 => 0101011 => 1010100
[6,3,2,5,7,8,1,4] => 1100010 => 0100011 => 1011100
[5,7,2,3,6,1,8,4] => 0100101 => 1010010 => 0101101
[5,8,2,3,6,1,7,4] => 0100101 => 1010010 => 0101101
[4,7,5,8,3,2,1,6] => 0101110 => 0111010 => 1000101
[4,5,6,8,3,2,1,7] => 0001110 => 0111000 => 1000111
[4,6,8,5,3,2,1,7] => 0011110 => 0111100 => 1000011
[5,6,1,4,2,3,7,8] => 0101000 => 0001010 => 1110101
[5,6,8,4,3,7,1,2] => 0011010 => 0101100 => 1010011
[5,6,1,4,2,3,8,7] => 0101001 => 1001010 => 0110101
[5,2,8,3,4,1,7,6] => 1010101 => 1010101 => 0101010
[4,5,8,6,3,2,1,7] => 0011110 => 0111100 => 1000011
[4,6,5,8,3,2,1,7] => 0101110 => 0111010 => 1000101
[4,7,5,6,3,2,1,8] => 0101110 => 0111010 => 1000101
[6,2,3,4,5,8,1,7] => 1000010 => 0100001 => 1011110
[5,1,4,3,6,2,8,7] => 1010101 => 1010101 => 0101010
[5,1,4,3,7,2,8,6] => 1010101 => 1010101 => 0101010
[5,1,4,3,8,2,7,6] => 1010101 => 1010101 => 0101010
[5,6,2,4,1,7,8,3] => 0101001 => 1001010 => 0110101
[5,6,2,4,1,8,7,3] => 0101011 => 1101010 => 0010101
[5,7,2,4,1,8,6,3] => 0101011 => 1101010 => 0010101
[6,1,4,2,8,7,5,3] => 1010111 => 1110101 => 0001010
[6,1,4,2,7,8,5,3] => 1010011 => 1100101 => 0011010
[5,8,2,4,1,7,6,3] => 0101011 => 1101010 => 0010101
[5,2,7,4,1,6,8,3] => 1011001 => 1001101 => 0110010
[5,4,1,3,7,2,6,8] => 1100100 => 0010011 => 1101100
[5,1,4,3,6,2,7,8] => 1010100 => 0010101 => 1101010
[5,8,6,4,3,7,1,2] => 0111010 => 0101110 => 1010001
[5,8,1,4,2,3,7,6] => 0101001 => 1001010 => 0110101
[5,1,6,3,4,2,7,8] => 1010100 => 0010101 => 1101010
[4,8,6,5,3,2,1,7] => 0111110 => 0111110 => 1000001
[4,8,5,6,3,2,1,7] => 0101110 => 0111010 => 1000101
[5,4,7,8,3,2,1,6] => 1001110 => 0111001 => 1000110
[5,4,8,7,3,2,1,6] => 1011110 => 0111101 => 1000010
[4,6,8,7,3,2,1,5] => 0011110 => 0111100 => 1000011
[4,6,7,8,3,2,1,5] => 0001110 => 0111000 => 1000111
[4,7,6,8,3,2,1,5] => 0101110 => 0111010 => 1000101
[4,7,8,5,3,2,1,6] => 0011110 => 0111100 => 1000011
[5,7,1,3,4,2,6,8] => 0100100 => 0010010 => 1101101
[5,1,8,4,2,3,6,7] => 1011000 => 0001101 => 1110010
[5,1,7,4,2,3,6,8] => 1011000 => 0001101 => 1110010
[5,8,1,3,4,2,6,7] => 0100100 => 0010010 => 1101101
[4,8,7,5,3,2,1,6] => 0111110 => 0111110 => 1000001
[4,7,8,6,3,2,1,5] => 0011110 => 0111100 => 1000011
[4,8,7,6,3,2,1,5] => 0111110 => 0111110 => 1000001
[4,8,2,6,3,7,5,1] => 0101011 => 1101010 => 0010101
[4,8,2,3,6,7,5,1] => 0100011 => 1100010 => 0011101
[4,8,3,1,6,7,5,2] => 0110011 => 1100110 => 0011001
[4,3,8,1,6,2,5,7] => 1010100 => 0010101 => 1101010
[1,4,8,7,3,5,2,6] => 0011010 => 0101100 => 1010011
[4,3,8,7,2,5,1,6] => 1011010 => 0101101 => 1010010
[5,8,4,3,7,1,6,2] => 0110101 => 1010110 => 0101001
[5,8,1,4,7,2,6,3] => 0100101 => 1010010 => 0101101
[5,8,1,7,4,2,3,6] => 0101100 => 0011010 => 1100101
[6,8,1,2,4,3,5,7] => 0100100 => 0010010 => 1101101
[5,8,7,1,3,4,2,6] => 0110010 => 0100110 => 1011001
[4,8,7,6,3,1,2,5] => 0111100 => 0011110 => 1100001
[5,8,4,7,3,1,2,6] => 0101100 => 0011010 => 1100101
[4,3,8,2,7,5,6,1] => 1010101 => 1010101 => 0101010
[1,4,8,3,7,5,6,2] => 0010101 => 1010100 => 0101011
[1,4,3,8,2,6,5,7] => 0101010 => 0101010 => 1010101
[4,3,2,8,1,6,5,7] => 1101010 => 0101011 => 1010100
[4,1,3,8,2,6,5,7] => 1001010 => 0101001 => 1010110
[4,1,8,3,7,5,6,2] => 1010101 => 1010101 => 0101010
[4,1,8,7,3,5,2,6] => 1011010 => 0101101 => 1010010
[3,7,8,1,5,4,2,6] => 0010110 => 0110100 => 1001011
[7,3,8,1,5,4,6,2] => 1010101 => 1010101 => 0101010
[3,4,8,1,6,2,5,7] => 0010100 => 0010100 => 1101011
[3,4,8,7,2,5,1,6] => 0011010 => 0101100 => 1010011
[3,4,8,2,7,5,6,1] => 0010101 => 1010100 => 0101011
[1,2,4,8,3,6,5,7] => 0001010 => 0101000 => 1010111
[1,2,4,3,8,6,5,7] => 0010110 => 0110100 => 1001011
[3,4,2,1,8,6,5,7] => 0110110 => 0110110 => 1001001
[3,4,1,8,2,6,5,7] => 0101010 => 0101010 => 1010101
[3,6,7,8,4,1,2,5] => 0001100 => 0011000 => 1100111
[4,1,7,8,5,3,2,6] => 1001110 => 0111001 => 1000110
[4,1,2,8,3,6,5,7] => 1001010 => 0101001 => 1010110
[1,4,3,2,8,6,5,7] => 0110110 => 0110110 => 1001001
[4,2,3,1,8,6,5,7] => 1010110 => 0110101 => 1001010
[3,7,6,8,4,2,1,5] => 0101110 => 0111010 => 1000101
[4,7,1,8,5,2,3,6] => 0101100 => 0011010 => 1100101
[2,6,8,7,4,3,1,5] => 0011110 => 0111100 => 1000011
[3,7,8,6,2,4,1,5] => 0011010 => 0101100 => 1010011
[3,7,8,2,6,4,5,1] => 0010101 => 1010100 => 0101011
[4,2,3,8,1,6,5,7] => 1001010 => 0101001 => 1010110
[4,3,1,8,2,6,5,7] => 1101010 => 0101011 => 1010100
[1,4,7,8,5,3,2,6] => 0001110 => 0111000 => 1000111
[4,3,7,8,5,2,1,6] => 1001110 => 0111001 => 1000110
[3,7,2,8,4,6,5,1] => 0101011 => 1101010 => 0010101
[4,2,8,6,3,1,5,7] => 1011100 => 0011101 => 1100010
[2,6,8,4,7,3,1,5] => 0010110 => 0110100 => 1001011
[2,4,8,6,3,1,5,7] => 0011100 => 0011100 => 1100011
[7,3,6,8,4,2,1,5] => 1001110 => 0111001 => 1000110
[7,6,2,8,3,5,4,1] => 1101011 => 1101011 => 0010100
[1,7,3,8,4,6,5,2] => 0101011 => 1101010 => 0010101
[1,3,4,8,2,6,5,7] => 0001010 => 0101000 => 1010111
[3,2,4,8,1,6,5,7] => 1001010 => 0101001 => 1010110
[7,3,8,6,2,4,1,5] => 1011010 => 0101101 => 1010010
[7,3,8,2,6,4,5,1] => 1010101 => 1010101 => 0101010
[2,4,8,3,6,1,5,7] => 0010100 => 0010100 => 1101011
[6,2,8,7,4,3,5,1] => 1011101 => 1011101 => 0100010
[7,4,1,8,5,2,6,3] => 1101101 => 1011011 => 0100100
[7,3,2,8,4,6,5,1] => 1101011 => 1101011 => 0010100
[2,4,3,1,8,6,5,7] => 0110110 => 0110110 => 1001001
[1,3,4,2,8,6,5,7] => 0010110 => 0110100 => 1001011
[1,3,2,4,8,6,5,7] => 0100110 => 0110010 => 1001101
[3,2,1,4,8,6,5,7] => 1100110 => 0110011 => 1001100
[3,1,2,4,8,6,5,7] => 1000110 => 0110001 => 1001110
[3,1,4,2,8,6,5,7] => 1010110 => 0110101 => 1001010
[3,1,4,8,2,6,5,7] => 1001010 => 0101001 => 1010110
[7,3,4,8,5,1,6,2] => 1001101 => 1011001 => 0100110
[3,7,4,8,5,1,2,6] => 0101100 => 0011010 => 1100101
[6,7,2,8,3,5,4,1] => 0101011 => 1101010 => 0010101
[2,3,1,4,8,6,5,7] => 0100110 => 0110010 => 1001101
[2,1,3,4,8,6,5,7] => 1000110 => 0110001 => 1001110
[1,2,3,4,8,6,5,7] => 0000110 => 0110000 => 1001111
[4,8,3,6,2,1,5,7] => 0101100 => 0011010 => 1100101
[3,5,8,2,6,1,4,7] => 0010100 => 0010100 => 1101011
[3,6,5,8,2,4,1,7] => 0101010 => 0101010 => 1010101
[5,3,8,7,2,4,6,1] => 1011001 => 1001101 => 0110010
[2,8,4,5,7,3,6,1] => 0100101 => 1010010 => 0101101
[2,4,5,7,3,8,1,6] => 0001010 => 0101000 => 1010111
[6,2,4,5,8,3,1,7] => 1000110 => 0110001 => 1001110
[4,8,1,2,5,6,3,7] => 0100010 => 0100010 => 1011101
[8,1,3,5,2,6,4,7] => 1001010 => 0101001 => 1010110
[5,2,1,6,3,8,4,7] => 1101010 => 0101011 => 1010100
[6,2,5,1,8,4,3,7] => 1010110 => 0110101 => 1001010
[3,6,1,5,8,4,2,7] => 0100110 => 0110010 => 1001101
[6,1,4,5,8,3,2,7] => 1000110 => 0110001 => 1001110
[5,6,4,8,1,3,2,7] => 0101010 => 0101010 => 1010101
[6,5,4,3,8,2,1,7] => 1110110 => 0110111 => 1001000
[5,4,3,7,2,8,1,6] => 1101010 => 0101011 => 1010100
[5,8,4,3,7,2,6,1] => 0110101 => 1010110 => 0101001
[4,6,8,3,7,2,5,1] => 0010101 => 1010100 => 0101011
[7,4,6,3,2,8,1,5] => 1011010 => 0101101 => 1010010
[1,4,3,6,2,7,8,5] => 0101001 => 1001010 => 0110101
[1,5,4,3,7,2,8,6] => 0110101 => 1010110 => 0101001
[4,7,8,5,3,1,2,6] => 0011100 => 0011100 => 1100011
[5,7,3,4,1,2,8,6] => 0101001 => 1001010 => 0110101
[8,5,4,7,6,2,1,3] => 1101110 => 0111011 => 1000100
[8,5,7,4,3,6,1,2] => 1011010 => 0101101 => 1010010
[4,3,8,1,6,7,5,2] => 1010011 => 1100101 => 0011010
[4,7,8,3,6,1,5,2] => 0010101 => 1010100 => 0101011
[5,3,8,6,7,4,1,2] => 1010110 => 0110101 => 1001010
[1,3,8,6,4,7,5,2] => 0011011 => 1101100 => 0010011
[8,6,2,7,4,1,5,3] => 1101101 => 1011011 => 0100100
[7,6,2,1,4,3,8,5] => 1110101 => 1010111 => 0101000
[7,6,1,3,4,2,8,5] => 1100101 => 1010011 => 0101100
[1,5,7,3,2,6,8,4] => 0011001 => 1001100 => 0110011
[1,6,7,3,2,5,8,4] => 0011001 => 1001100 => 0110011
[3,2,6,8,5,7,4,1] => 1001011 => 1101001 => 0010110
[5,8,2,3,6,7,4,1] => 0100011 => 1100010 => 0011101
[7,5,2,3,1,6,8,4] => 1101001 => 1001011 => 0110100
[1,6,4,7,2,3,8,5] => 0101001 => 1001010 => 0110101
[3,1,7,5,2,8,4,6] => 1011010 => 0101101 => 1010010
[2,5,7,4,1,8,3,6] => 0011010 => 0101100 => 1010011
[4,2,6,1,7,8,3,5] => 1010010 => 0100101 => 1011010
[4,2,7,6,3,8,1,5] => 1011010 => 0101101 => 1010010
[6,4,8,7,2,3,5,1] => 1011001 => 1001101 => 0110010
[3,2,6,8,7,4,5,1] => 1001101 => 1011001 => 0100110
[3,2,7,4,1,6,8,5] => 1011001 => 1001101 => 0110010
[6,3,2,1,7,8,4,5] => 1110010 => 0100111 => 1011000
[3,7,1,8,4,2,5,6] => 0101100 => 0011010 => 1100101
[4,2,1,3,7,5,8,6] => 1100101 => 1010011 => 0101100
[8,1,3,7,4,2,6,5] => 1001101 => 1011001 => 0100110
[8,4,3,7,6,2,1,5] => 1101110 => 0111011 => 1000100
[8,3,5,2,7,6,1,4] => 1010110 => 0110101 => 1001010
[3,6,2,8,7,1,5,4] => 0101101 => 1011010 => 0100101
[7,3,2,8,1,6,5,4] => 1101011 => 1101011 => 0010100
[3,8,7,2,6,5,4,1] => 0110111 => 1110110 => 0001001
[4,2,7,8,6,1,5,3] => 1001101 => 1011001 => 0100110
[6,8,2,4,7,1,5,3] => 0100101 => 1010010 => 0101101
[5,2,1,8,7,3,6,4] => 1101101 => 1011011 => 0100100
[8,2,1,6,3,7,5,4] => 1101011 => 1101011 => 0010100
[6,8,3,1,7,5,2,4] => 0110110 => 0110110 => 1001001
[5,8,1,6,7,2,4,3] => 0100101 => 1010010 => 0101101
[6,2,8,1,5,7,4,3] => 1010011 => 1100101 => 0011010
[5,7,8,2,6,1,4,3] => 0010101 => 1010100 => 0101011
[8,7,2,5,6,4,3,1] => 1100111 => 1110011 => 0001100
[8,6,7,5,2,4,3,1] => 1011011 => 1101101 => 0010010
[7,2,6,8,1,5,4,3] => 1001011 => 1101001 => 0010110
[1,2,7,8,5,6,4,3] => 0001011 => 1101000 => 0010111
[7,4,8,1,6,2,5,3] => 1010101 => 1010101 => 0101010
[3,7,1,8,2,6,5,4] => 0101011 => 1101010 => 0010101
[2,1,7,3,8,6,5,4] => 1010111 => 1110101 => 0001010
[8,2,1,7,6,5,4,3] => 1101111 => 1111011 => 0000100
[8,1,4,7,6,5,3,2] => 1001111 => 1111001 => 0000110
[8,6,7,5,1,4,3,2] => 1011011 => 1101101 => 0010010
[7,8,6,5,4,1,3,2] => 0111101 => 1011110 => 0100001
[5,8,4,3,2,1,6,7] => 0111100 => 0011110 => 1100001
[6,4,7,3,2,1,8,5] => 1011101 => 1011101 => 0100010
[5,4,7,3,2,1,6,8] => 1011100 => 0011101 => 1100010
[6,5,3,7,2,1,4,8] => 1101100 => 0011011 => 1100100
[5,8,3,6,2,1,4,7] => 0101100 => 0011010 => 1100101
[6,3,7,8,2,1,4,5] => 1001100 => 0011001 => 1100110
[5,3,7,6,2,1,4,8] => 1011100 => 0011101 => 1100010
[3,8,7,6,2,1,4,5] => 0111100 => 0011110 => 1100001
[5,8,4,2,6,1,3,7] => 0110100 => 0010110 => 1101001
[4,8,7,2,5,1,3,6] => 0110100 => 0010110 => 1101001
[5,8,3,2,6,1,4,7] => 0110100 => 0010110 => 1101001
[4,8,3,2,5,1,7,6] => 0110101 => 1010110 => 0101001
[4,3,7,2,5,1,8,6] => 1010101 => 1010101 => 0101010
[3,8,7,2,5,1,4,6] => 0110100 => 0010110 => 1101001
[6,4,2,7,5,1,3,8] => 1101100 => 0011011 => 1100100
[6,3,2,7,5,1,4,8] => 1101100 => 0011011 => 1100100
[5,3,2,6,7,1,4,8] => 1100100 => 0010011 => 1101100
[3,8,2,6,5,1,4,7] => 0101100 => 0011010 => 1100101
[6,2,7,8,5,1,3,4] => 1001100 => 0011001 => 1100110
[5,2,7,6,8,1,3,4] => 1010100 => 0010101 => 1101010
[4,2,7,6,5,1,3,8] => 1011100 => 0011101 => 1100010
[2,8,7,6,5,1,3,4] => 0111100 => 0011110 => 1100001
[6,5,4,3,1,7,8,2] => 1111001 => 1001111 => 0110000
[6,4,7,3,1,5,8,2] => 1011001 => 1001101 => 0110010
[5,4,7,3,1,8,6,2] => 1011011 => 1101101 => 0010010
[6,4,3,7,1,5,8,2] => 1101001 => 1001011 => 0110100
[5,4,3,6,1,8,7,2] => 1101011 => 1101011 => 0010100
[6,3,7,8,1,4,5,2] => 1001001 => 1001001 => 0110110
[5,3,7,6,1,4,8,2] => 1011001 => 1001101 => 0110010
[4,3,7,6,1,5,8,2] => 1011001 => 1001101 => 0110010
[3,8,7,6,1,4,5,2] => 0111001 => 1001110 => 0110001
[6,5,4,2,1,7,3,8] => 1111010 => 0101111 => 1010000
[6,4,7,2,1,5,3,8] => 1011010 => 0101101 => 1010010
[4,8,7,2,1,5,3,6] => 0111010 => 0101110 => 1010001
[5,8,3,2,1,4,7,6] => 0111001 => 1001110 => 0110001
[4,8,3,2,1,5,7,6] => 0111001 => 1001110 => 0110001
[5,3,7,2,1,4,8,6] => 1011001 => 1001101 => 0110010
[3,8,7,2,1,4,5,6] => 0111000 => 0001110 => 1110001
[6,5,2,7,1,4,3,8] => 1101010 => 0101011 => 1010100
[5,8,2,6,1,4,3,7] => 0101010 => 0101010 => 1010101
[6,4,2,7,1,5,3,8] => 1101010 => 0101011 => 1010100
[5,4,2,6,1,8,3,7] => 1101010 => 0101011 => 1010100
[4,3,2,6,1,5,8,7] => 1101001 => 1001011 => 0110100
[6,2,7,8,1,4,3,5] => 1001010 => 0101001 => 1010110
[4,2,7,6,1,5,3,8] => 1011010 => 0101101 => 1010010
[3,2,7,6,1,4,5,8] => 1011000 => 0001101 => 1110010
[6,5,4,1,8,7,3,2] => 1110111 => 1110111 => 0001000
[5,8,4,1,6,7,3,2] => 0110011 => 1100110 => 0011001
[6,4,7,1,5,8,3,2] => 1010011 => 1100101 => 0011010
[5,4,7,1,6,8,3,2] => 1010011 => 1100101 => 0011010
[4,8,7,1,5,6,3,2] => 0110011 => 1100110 => 0011001
[5,4,3,1,6,8,7,2] => 1110011 => 1100111 => 0011000
[4,8,3,1,5,6,7,2] => 0110001 => 1000110 => 0111001
[3,8,7,1,5,4,6,2] => 0110101 => 1010110 => 0101001
[5,8,2,1,6,4,3,7] => 0110110 => 0110110 => 1001001
[6,3,2,1,5,4,8,7] => 1110101 => 1010111 => 0101000
[5,3,2,1,6,4,8,7] => 1110101 => 1010111 => 0101000
[3,8,2,1,5,4,6,7] => 0110100 => 0010110 => 1101001
[6,2,7,1,5,4,3,8] => 1010110 => 0110101 => 1001010
[5,2,7,1,6,4,3,8] => 1010110 => 0110101 => 1001010
[4,2,7,1,5,6,3,8] => 1010010 => 0100101 => 1011010
[3,2,7,1,5,4,6,8] => 1010100 => 0010101 => 1101010
[2,8,7,1,5,4,3,6] => 0110110 => 0110110 => 1001001
[6,5,1,7,8,4,3,2] => 1100111 => 1110011 => 0001100
[5,8,1,6,7,4,3,2] => 0100111 => 1110010 => 0001101
[6,4,1,7,5,8,3,2] => 1101011 => 1101011 => 0010100
[5,4,1,6,7,8,3,2] => 1100011 => 1100011 => 0011100
[4,8,1,6,5,7,3,2] => 0101011 => 1101010 => 0010101
[6,3,1,7,5,4,8,2] => 1101101 => 1011011 => 0100100
[5,3,1,6,7,4,8,2] => 1100101 => 1010011 => 0101100
[4,3,1,6,5,7,8,2] => 1101001 => 1001011 => 0110100
[3,8,1,6,5,4,7,2] => 0101101 => 1011010 => 0100101
[5,2,1,6,7,4,3,8] => 1100110 => 0110011 => 1001100
[4,2,1,6,5,7,3,8] => 1101010 => 0101011 => 1010100
[2,8,1,6,5,4,3,7] => 0101110 => 0111010 => 1000101
[6,1,7,8,5,4,3,2] => 1001111 => 1111001 => 0000110
[4,1,7,6,5,8,3,2] => 1011011 => 1101101 => 0010010
[3,1,7,6,5,4,8,2] => 1011101 => 1011101 => 0100010
[4,5,8,1,2,6,3,7] => 0010010 => 0100100 => 1011011
[1,4,5,7,2,6,3,8] => 0001010 => 0101000 => 1010111
[1,7,3,5,6,2,4,8] => 0100100 => 0010010 => 1101101
[8,1,3,5,7,2,4,6] => 1000100 => 0010001 => 1101110
[3,6,8,1,7,2,4,5] => 0010100 => 0010100 => 1101011
[3,4,5,6,8,1,7,2] => 0000101 => 1010000 => 0101111
[4,5,8,2,6,7,1,3] => 0010010 => 0100100 => 1011011
[8,2,3,5,6,7,1,4] => 1000010 => 0100001 => 1011110
[1,7,2,3,5,4,6,8] => 0100100 => 0010010 => 1101101
[8,1,2,3,5,4,6,7] => 1000100 => 0010001 => 1101110
[2,7,8,1,3,5,4,6] => 0010010 => 0100100 => 1011011
[2,7,8,3,5,6,1,4] => 0010010 => 0100100 => 1011011
[2,4,5,7,8,1,6,3] => 0000101 => 1010000 => 0101111
[4,5,8,1,7,6,3,2] => 0010111 => 1110100 => 0001011
[4,5,8,7,2,1,6,3] => 0011101 => 1011100 => 0100011
[8,7,3,5,6,2,1,4] => 1100110 => 0110011 => 1001100
[8,7,2,1,3,5,4,6] => 1110010 => 0100111 => 1011000
[3,6,8,7,2,1,5,4] => 0011101 => 1011100 => 0100011
[8,6,4,1,7,5,3,2] => 1110111 => 1110111 => 0001000
[7,6,4,3,1,8,5,2] => 1111011 => 1101111 => 0010000
[2,3,6,7,8,1,5,4] => 0000101 => 1010000 => 0101111
[3,6,8,1,2,5,4,7] => 0010010 => 0100100 => 1011011
[1,3,6,7,2,5,4,8] => 0001010 => 0101000 => 1010111
[7,4,1,8,5,2,3,6] => 1101100 => 0011011 => 1100100
[7,1,4,2,8,3,6,5] => 1010101 => 1010101 => 0101010
[7,1,8,2,5,3,6,4] => 1010101 => 1010101 => 0101010
[8,1,7,5,4,2,3,6] => 1011100 => 0011101 => 1100010
[1,7,2,6,5,4,3,8] => 0101110 => 0111010 => 1000101
[1,7,6,3,2,5,4,8] => 0111010 => 0101110 => 1010001
[8,6,3,1,2,5,4,7] => 1110010 => 0100111 => 1011000
[8,1,7,6,3,2,4,5] => 1011100 => 0011101 => 1100010
[8,2,5,7,6,3,1,4] => 1001110 => 0111001 => 1000110
[3,6,8,1,7,5,4,2] => 0010111 => 1110100 => 0001011
[8,2,6,7,5,4,1,3] => 1001110 => 0111001 => 1000110
[2,7,8,6,3,1,5,4] => 0011101 => 1011100 => 0100011
[2,7,8,1,6,5,4,3] => 0010111 => 1110100 => 0001011
[7,3,1,8,6,5,4,2] => 1101111 => 1111011 => 0000100
[8,7,2,1,6,5,4,3] => 1110111 => 1110111 => 0001000
[8,7,6,3,2,1,5,4] => 1111101 => 1011111 => 0100000
[2,1,8,6,3,7,4,5] => 1011010 => 0101101 => 1010010
[8,6,1,5,2,7,4,3] => 1101011 => 1101011 => 0010100
[8,5,1,7,4,2,6,3] => 1101101 => 1011011 => 0100100
[2,1,7,5,4,3,8,6] => 1011101 => 1011101 => 0100010
[2,1,7,8,3,6,5,4] => 1001011 => 1101001 => 0010110
[2,1,4,8,5,7,3,6] => 1001010 => 0101001 => 1010110
[8,5,3,1,6,2,4,7] => 1110100 => 0010111 => 1101000
[6,4,1,5,2,3,8,7] => 1101001 => 1001011 => 0110100
[8,3,7,5,2,6,1,4] => 1011010 => 0101101 => 1010010
[5,3,7,4,6,8,1,2] => 1010010 => 0100101 => 1011010
[5,8,3,7,6,2,1,4] => 0101110 => 0111010 => 1000101
[4,2,6,3,8,5,1,7] => 1010110 => 0110101 => 1001010
[5,8,2,1,7,6,4,3] => 0110111 => 1110110 => 0001001
[8,3,2,4,1,7,5,6] => 1101010 => 0101011 => 1010100
[7,8,3,1,5,4,6,2] => 0110101 => 1010110 => 0101001
[7,2,8,1,4,6,5,3] => 1010011 => 1100101 => 0011010
[6,2,3,1,4,5,8,7] => 1010001 => 1000101 => 0111010
[6,8,1,4,5,3,2,7] => 0100110 => 0110010 => 1001101
[8,2,6,1,4,7,3,5] => 1010010 => 0100101 => 1011010
[8,3,5,6,1,7,4,2] => 1001011 => 1101001 => 0010110
[6,3,5,4,1,2,8,7] => 1011001 => 1001101 => 0110010
[8,7,3,6,5,1,4,2] => 1101101 => 1011011 => 0100100
[2,7,4,3,6,1,8,5] => 0110101 => 1010110 => 0101001
[3,4,7,2,8,1,5,6] => 0010100 => 0010100 => 1101011
[4,2,3,5,8,1,6,7] => 1000100 => 0010001 => 1101110
[3,8,4,7,1,6,5,2] => 0101011 => 1101010 => 0010101
[3,2,4,6,1,5,8,7] => 1001001 => 1001001 => 0110110
[8,3,4,5,7,6,1,2] => 1000110 => 0110001 => 1001110
[3,2,4,5,6,8,1,7] => 1000010 => 0100001 => 1011110
[5,6,8,1,4,2,7,3] => 0010101 => 1010100 => 0101011
[1,5,7,8,4,6,2,3] => 0001010 => 0101000 => 1010111
[1,3,5,7,8,6,2,4] => 0000110 => 0110000 => 1001111
[3,5,7,8,6,1,2,4] => 0001100 => 0011000 => 1100111
[3,5,1,6,8,2,7,4] => 0100101 => 1010010 => 0101101
[3,1,5,6,8,2,7,4] => 1000101 => 1010001 => 0101110
[2,3,5,6,8,1,7,4] => 0000101 => 1010000 => 0101111
[5,6,4,8,2,1,7,3] => 0101101 => 1011010 => 0100101
[5,1,6,3,8,4,7,2] => 1010101 => 1010101 => 0101010
[2,5,1,6,8,3,7,4] => 0100101 => 1010010 => 0101101
[5,1,2,6,8,3,7,4] => 1000101 => 1010001 => 0101110
[5,7,1,8,6,2,3,4] => 0101100 => 0011010 => 1100101
[1,5,2,7,8,6,3,4] => 0100110 => 0110010 => 1001101
[1,6,7,5,2,8,3,4] => 0011010 => 0101100 => 1010011
[6,1,7,5,2,8,3,4] => 1011010 => 0101101 => 1010010
[2,6,7,5,1,8,3,4] => 0011010 => 0101100 => 1010011
[5,7,2,8,6,1,3,4] => 0101100 => 0011010 => 1100101
[3,5,7,8,6,2,1,4] => 0001110 => 0111000 => 1000111
[5,1,7,8,6,3,4,2] => 1001101 => 1011001 => 0100110
[5,1,3,7,8,6,4,2] => 1000111 => 1110001 => 0001110
[5,2,7,8,4,6,1,3] => 1001010 => 0101001 => 1010110
[3,2,5,7,8,6,1,4] => 1000110 => 0110001 => 1001110
[6,2,7,5,1,8,3,4] => 1011010 => 0101101 => 1010010
[1,2,6,7,5,8,3,4] => 0001010 => 0101000 => 1010111
[6,2,7,5,4,1,8,3] => 1011101 => 1011101 => 0100010
[6,7,5,2,4,1,8,3] => 0110101 => 1010110 => 0101001
[6,7,2,5,3,8,1,4] => 0101010 => 0101010 => 1010101
[6,7,4,5,2,1,8,3] => 0101101 => 1011010 => 0100101
[5,1,7,8,6,4,3,2] => 1001111 => 1111001 => 0000110
[2,5,7,8,6,3,1,4] => 0001110 => 0111000 => 1000111
[5,1,7,8,6,3,2,4] => 1001110 => 0111001 => 1000110
[6,3,7,5,1,8,2,4] => 1011010 => 0101101 => 1010010
[1,6,7,5,3,8,2,4] => 0011010 => 0101100 => 1010011
[1,6,7,5,4,2,8,3] => 0011101 => 1011100 => 0100011
[6,7,5,1,4,2,8,3] => 0110101 => 1010110 => 0101001
[5,7,8,6,4,1,2,3] => 0011100 => 0011100 => 1100011
[4,1,7,2,6,5,8,3] => 1010101 => 1010101 => 0101010
[2,4,7,1,5,6,8,3] => 0010001 => 1000100 => 0111011
[6,7,4,1,5,2,8,3] => 0110101 => 1010110 => 0101001
[1,6,7,4,5,2,8,3] => 0010101 => 1010100 => 0101011
[1,6,3,7,5,8,2,4] => 0101010 => 0101010 => 1010101
[6,3,1,7,5,8,2,4] => 1101010 => 0101011 => 1010100
[2,5,3,7,8,6,1,4] => 0100110 => 0110010 => 1001101
[6,7,5,4,2,1,8,3] => 0111101 => 1011110 => 0100001
[6,3,2,7,5,8,1,4] => 1101010 => 0101011 => 1010100
[6,7,4,2,5,1,8,3] => 0110101 => 1010110 => 0101001
[6,2,7,4,5,1,8,3] => 1010101 => 1010101 => 0101010
[6,2,3,7,5,8,1,4] => 1001010 => 0101001 => 1010110
[4,5,1,6,3,2,8,7] => 0101101 => 1011010 => 0100101
[7,5,1,6,3,8,2,4] => 1101010 => 0101011 => 1010100
[7,5,1,6,3,8,4,2] => 1101011 => 1101011 => 0010100
[2,7,6,1,3,8,4,5] => 0110010 => 0100110 => 1011001
[2,7,6,1,3,8,5,4] => 0110011 => 1100110 => 0011001
[7,3,5,1,8,2,6,4] => 1010101 => 1010101 => 0101010
[7,3,5,1,8,2,4,6] => 1010100 => 0010101 => 1101010
[3,7,5,1,8,6,2,4] => 0110110 => 0110110 => 1001001
[2,6,7,1,5,8,3,4] => 0010010 => 0100100 => 1011011
[2,6,7,4,1,8,3,5] => 0011010 => 0101100 => 1010011
[2,1,6,7,3,8,5,4] => 1001011 => 1101001 => 0010110
[2,6,7,4,1,8,5,3] => 0011011 => 1101100 => 0010011
[2,6,7,1,5,8,4,3] => 0010011 => 1100100 => 0011011
[3,6,5,1,8,4,7,2] => 0110101 => 1010110 => 0101001
[3,6,5,1,8,4,2,7] => 0110110 => 0110110 => 1001001
[3,7,5,4,8,1,6,2] => 0110101 => 1010110 => 0101001
[3,7,5,4,8,1,2,6] => 0110100 => 0010110 => 1101001
[4,6,1,5,8,7,3,2] => 0100111 => 1110010 => 0001101
[4,6,1,5,8,7,2,3] => 0100110 => 0110010 => 1001101
[4,6,1,5,8,2,7,3] => 0100101 => 1010010 => 0101101
[7,5,1,6,2,8,3,4] => 1101010 => 0101011 => 1010100
[7,5,1,6,2,8,4,3] => 1101011 => 1101011 => 0010100
[4,6,1,5,8,2,3,7] => 0100100 => 0010010 => 1101101
[4,7,1,5,8,3,6,2] => 0100101 => 1010010 => 0101101
[2,3,4,7,8,1,6,5] => 0000101 => 1010000 => 0101111
[6,8,5,4,3,2,7,1] => 0111101 => 1011110 => 0100001
[10,11,9,8,7,6,5,4,3,2,1] => 0111111111 => 1111111110 => 0000000001
[7,9,6,5,4,3,2,8,1] => 01111101 => 10111110 => 01000001
[8,9,6,5,4,3,2,1,7] => 01111110 => 01111110 => 10000001
[6,8,5,4,3,7,2,1] => 0111011 => 1101110 => 0010001
[5,8,4,3,2,1,7,6] => 0111101 => 1011110 => 0100001
[6,5,4,3,1,8,7,2] => 1111011 => 1101111 => 0010000
[8,7,6,5,4,3,9,1,2] => 11111010 => 01011111 => 10100000
[8,7,5,4,3,1,6,2] => 1111101 => 1011111 => 0100000
[9,7,6,5,4,3,1,8,2] => 11111101 => 10111111 => 01000000
[11,10,9,8,7,6,5,4,3,1,2] => 1111111110 => 0111111111 => 1000000000
[8,3,4,6,2,1,5,7] => 1001100 => 0011001 => 1100110
[3,5,6,2,1,8,4,7] => 0011010 => 0101100 => 1010011
[3,5,2,6,8,4,1,7] => 0100110 => 0110010 => 1001101
[7,5,3,2,8,4,1,6] => 1110110 => 0110111 => 1001000
[7,5,3,2,8,4,6,1] => 1110101 => 1010111 => 0101000
[2,4,5,7,3,8,6,1] => 0001011 => 1101000 => 0010111
[4,2,5,6,8,3,1,7] => 1000110 => 0110001 => 1001110
[4,2,8,1,5,6,3,7] => 1010010 => 0100101 => 1011010
[2,5,6,1,8,4,3,7] => 0010110 => 0110100 => 1001011
[5,3,6,8,1,4,2,7] => 1001010 => 0101001 => 1010110
[4,5,6,8,1,3,2,7] => 0001010 => 0101000 => 1010111
[1,4,5,6,8,3,2,7] => 0000110 => 0110000 => 1001111
[4,5,6,3,8,2,1,7] => 0010110 => 0110100 => 1001011
[4,5,3,7,2,8,6,1] => 0101011 => 1101010 => 0010101
[6,4,7,3,2,8,5,1] => 1011011 => 1101101 => 0010010
[6,1,4,7,3,2,8,5] => 1001101 => 1011001 => 0100110
[1,7,8,4,5,3,2,6] => 0010110 => 0110100 => 1001011
[5,1,7,3,8,4,2,6] => 1010110 => 0110101 => 1001010
[2,5,1,7,4,3,8,6] => 0101101 => 1011010 => 0100101
[2,5,7,4,1,8,6,3] => 0011011 => 1101100 => 0010011
[5,3,7,1,4,8,6,2] => 1010011 => 1100101 => 0011010
[6,4,3,1,7,8,5,2] => 1110011 => 1100111 => 0011000
[6,4,1,7,3,8,5,2] => 1101011 => 1101011 => 0010100
[5,6,3,7,8,4,2,1] => 0100111 => 1110010 => 0001101
[5,1,6,3,7,8,4,2] => 1010011 => 1100101 => 0011010
[5,6,1,3,7,8,4,2] => 0100011 => 1100010 => 0011101
[5,6,1,7,8,3,4,2] => 0100101 => 1010010 => 0101101
[1,6,3,7,4,8,5,2] => 0101011 => 1101010 => 0010101
[6,7,2,4,1,8,5,3] => 0101011 => 1101010 => 0010101
[6,7,2,1,4,3,8,5] => 0110101 => 1010110 => 0101001
[6,4,7,3,1,2,8,5] => 1011001 => 1001101 => 0110010
[5,6,3,1,2,7,8,4] => 0110001 => 1000110 => 0111001
[5,6,1,3,2,7,8,4] => 0101001 => 1001010 => 0110101
[5,6,3,2,1,7,8,4] => 0111001 => 1001110 => 0110001
[2,5,6,3,7,8,4,1] => 0010011 => 1100100 => 0011011
[2,5,6,3,1,7,8,4] => 0011001 => 1001100 => 0110011
[2,6,4,7,3,1,8,5] => 0101101 => 1011010 => 0100101
[6,3,7,2,8,4,5,1] => 1010101 => 1010101 => 0101010
[6,3,7,2,8,4,1,5] => 1010110 => 0110101 => 1001010
[6,3,2,7,1,8,4,5] => 1101010 => 0101011 => 1010100
[7,5,3,2,1,8,4,6] => 1111010 => 0101111 => 1010000
[7,3,8,4,2,1,5,6] => 1011100 => 0011101 => 1100010
[4,7,2,1,3,8,6,5] => 0110011 => 1100110 => 0011001
[1,3,7,8,6,4,2,5] => 0001110 => 0111000 => 1000111
[7,3,8,4,6,2,1,5] => 1010110 => 0110101 => 1001010
[5,7,3,8,2,1,6,4] => 0101101 => 1011010 => 0100101
[6,3,7,8,5,2,1,4] => 1001110 => 0111001 => 1000110
[4,6,2,7,8,5,3,1] => 0100111 => 1110010 => 0001101
[4,6,2,1,7,8,5,3] => 0110011 => 1100110 => 0011001
[7,4,5,8,1,2,6,3] => 1001001 => 1001001 => 0110110
[2,5,1,7,3,8,6,4] => 0101011 => 1101010 => 0010101
[6,7,2,1,3,8,5,4] => 0110011 => 1100110 => 0011001
[5,1,6,7,8,2,4,3] => 1000101 => 1010001 => 0101110
[6,3,7,1,8,5,2,4] => 1010110 => 0110101 => 1001010
[6,2,1,7,3,8,5,4] => 1101011 => 1101011 => 0010100
[6,2,7,1,8,5,4,3] => 1010111 => 1110101 => 0001010
[6,3,1,7,8,5,4,2] => 1100111 => 1110011 => 0001100
[4,1,3,6,8,2,5,7] => 1000100 => 0010001 => 1101110
[4,2,3,6,8,1,5,7] => 1000100 => 0010001 => 1101110
[5,3,2,1,8,4,7,6] => 1110101 => 1010111 => 0101000
[3,6,5,8,2,1,7,4] => 0101101 => 1011010 => 0100101
[4,5,2,1,3,8,7,6] => 0110011 => 1100110 => 0011001
[3,2,6,4,5,8,1,7] => 1010010 => 0100101 => 1011010
[2,4,6,5,8,1,3,7] => 0010100 => 0010100 => 1101011
[1,6,2,4,5,8,3,7] => 0100010 => 0100010 => 1011101
[5,3,2,1,6,8,4,7] => 1110010 => 0100111 => 1011000
[6,2,4,5,8,1,3,7] => 1000100 => 0010001 => 1101110
[1,3,4,6,5,8,2,7] => 0001010 => 0101000 => 1010111
[1,6,3,4,5,8,2,7] => 0100010 => 0100010 => 1011101
[3,4,1,8,5,2,7,6] => 0101101 => 1011010 => 0100101
[2,8,4,1,7,6,3,5] => 0110110 => 0110110 => 1001001
[8,1,4,2,7,3,6,5] => 1010101 => 1010101 => 0101010
[1,5,3,2,8,7,4,6] => 0110110 => 0110110 => 1001001
[8,2,1,7,5,3,4,6] => 1101100 => 0011011 => 1100100
[1,7,6,4,5,8,3,2] => 0110011 => 1100110 => 0011001
[5,8,7,4,1,2,6,3] => 0111001 => 1001110 => 0110001
[5,8,7,4,6,2,1,3] => 0110110 => 0110110 => 1001001
[3,4,2,5,8,6,7,1] => 0100101 => 1010010 => 0101101
[4,1,3,5,6,8,7,2] => 1000011 => 1100001 => 0011110
[2,4,8,6,7,1,3,5] => 0010100 => 0010100 => 1101011
[4,3,6,2,8,1,7,5] => 1010101 => 1010101 => 0101010
[3,7,4,8,2,1,6,5] => 0101101 => 1011010 => 0100101
[2,3,5,8,6,7,1,4] => 0001010 => 0101000 => 1010111
[3,2,5,6,8,7,1,4] => 1000110 => 0110001 => 1001110
[2,1,8,5,6,7,3,4] => 1010010 => 0100101 => 1011010
[1,2,8,3,5,6,7,4] => 0010001 => 1000100 => 0111011
[4,2,3,7,1,8,6,5] => 1001011 => 1101001 => 0010110
[3,2,6,4,8,1,7,5] => 1010101 => 1010101 => 0101010
[8,2,1,6,7,3,4,5] => 1100100 => 0010011 => 1101100
[2,7,8,5,4,1,3,6] => 0011100 => 0011100 => 1100011
[1,7,5,3,8,4,2,6] => 0110110 => 0110110 => 1001001
[4,7,5,3,1,2,8,6] => 0111001 => 1001110 => 0110001
[7,2,4,8,5,3,1,6] => 1001110 => 0111001 => 1000110
[4,8,3,1,2,7,6,5] => 0110011 => 1100110 => 0011001
[3,5,2,7,4,1,8,6] => 0101101 => 1011010 => 0100101
[8,4,2,3,7,1,5,6] => 1100100 => 0010011 => 1101100
[2,8,4,7,1,3,5,6] => 0101000 => 0001010 => 1110101
[8,2,4,6,7,1,3,5] => 1000100 => 0010001 => 1101110
[4,8,2,3,6,7,1,5] => 0100010 => 0100010 => 1011101
[3,5,2,7,6,1,8,4] => 0101101 => 1011010 => 0100101
[1,6,3,2,5,8,7,4] => 0110011 => 1100110 => 0011001
[5,8,3,2,1,6,7,4] => 0111001 => 1001110 => 0110001
[5,8,7,3,4,6,2,1] => 0110011 => 1100110 => 0011001
[5,8,2,7,4,1,6,3] => 0101101 => 1011010 => 0100101
[5,1,4,2,8,7,6,3] => 1010111 => 1110101 => 0001010
[4,7,6,5,8,2,1,3] => 0110110 => 0110110 => 1001001
[5,3,7,1,6,2,8,4] => 1010101 => 1010101 => 0101010
[5,2,6,8,7,1,3,4] => 1001100 => 0011001 => 1100110
[6,3,2,1,8,5,7,4] => 1110101 => 1010111 => 0101000
[2,7,5,4,1,8,6,3] => 0111011 => 1101110 => 0010001
[4,2,5,6,8,7,1,3] => 1000110 => 0110001 => 1001110
[1,8,4,2,5,6,7,3] => 0110001 => 1000110 => 0111001
[3,8,4,1,5,6,7,2] => 0110001 => 1000110 => 0111001
[4,2,8,5,6,7,1,3] => 1010010 => 0100101 => 1011010
[5,2,4,7,1,8,6,3] => 1001011 => 1101001 => 0010110
[5,3,4,7,1,8,6,2] => 1001011 => 1101001 => 0010110
[8,6,4,1,3,2,5,7] => 1110100 => 0010111 => 1101000
[8,1,3,6,5,2,4,7] => 1001100 => 0011001 => 1100110
[8,1,4,3,6,5,2,7] => 1010110 => 0110101 => 1001010
[3,6,5,2,1,8,7,4] => 0111011 => 1101110 => 0010001
[8,3,2,4,6,5,1,7] => 1100110 => 0110011 => 1001100
[8,4,2,1,6,5,3,7] => 1110110 => 0110111 => 1001000
[8,4,1,2,6,5,3,7] => 1100110 => 0110011 => 1001100
[8,6,4,2,1,5,3,7] => 1111010 => 0101111 => 1010000
[8,3,6,4,1,5,2,7] => 1011010 => 0101101 => 1010010
[8,2,6,3,4,5,1,7] => 1010010 => 0100101 => 1011010
[1,3,4,8,5,7,2,6] => 0001010 => 0101000 => 1010111
[5,8,4,7,6,2,3,1] => 0101101 => 1011010 => 0100101
[1,3,4,7,5,8,2,6] => 0001010 => 0101000 => 1010111
[1,3,5,2,4,8,7,6] => 0010011 => 1100100 => 0011011
[2,6,5,1,3,8,7,4] => 0110011 => 1100110 => 0011001
[4,7,1,6,5,8,3,2] => 0101011 => 1101010 => 0010101
[5,4,8,7,6,3,1,2] => 1011110 => 0111101 => 1000010
[2,8,5,1,4,7,6,3] => 0110011 => 1100110 => 0011001
[4,3,1,5,8,6,7,2] => 1100101 => 1010011 => 0101100
[4,1,3,5,8,6,7,2] => 1000101 => 1010001 => 0101110
[6,5,3,8,4,7,1,2] => 1101010 => 0101011 => 1010100
[5,4,2,1,6,8,7,3] => 1110011 => 1100111 => 0011000
[6,8,4,3,2,7,1,5] => 0111010 => 0101110 => 1010001
[3,4,7,8,2,1,6,5] => 0001101 => 1011000 => 0100111
[5,1,3,2,8,6,7,4] => 1010101 => 1010101 => 0101010
[5,3,1,2,8,6,7,4] => 1100101 => 1010011 => 0101100
[5,2,3,1,6,8,7,4] => 1010011 => 1100101 => 0011010
[5,3,2,1,8,6,7,4] => 1110101 => 1010111 => 0101000
[5,2,1,3,6,8,7,4] => 1100011 => 1100011 => 0011100
[2,4,7,3,8,1,6,5] => 0010101 => 1010100 => 0101011
[6,3,8,2,7,4,1,5] => 1010110 => 0110101 => 1001010
[8,2,1,3,6,4,7,5] => 1100101 => 1010011 => 0101100
[3,5,1,7,8,4,2,6] => 0100110 => 0110010 => 1001101
[2,7,4,5,8,3,1,6] => 0100110 => 0110010 => 1001101
[1,8,4,3,7,2,6,5] => 0110101 => 1010110 => 0101001
[3,4,8,7,2,1,6,5] => 0011101 => 1011100 => 0100011
[5,4,7,8,3,6,2,1] => 1001011 => 1101001 => 0010110
[6,4,3,8,7,2,1,5] => 1101110 => 0111011 => 1000100
[6,3,8,7,4,1,2,5] => 1011100 => 0011101 => 1100010
[3,5,7,2,4,8,1,6] => 0010010 => 0100100 => 1011011
[8,4,7,2,3,1,5,6] => 1010100 => 0010101 => 1101010
[8,4,7,1,3,2,5,6] => 1010100 => 0010101 => 1101010
[8,4,7,2,1,3,5,6] => 1011000 => 0001101 => 1110010
[8,6,4,2,1,3,7,5] => 1111001 => 1001111 => 0110000
[8,6,4,1,3,2,7,5] => 1110101 => 1010111 => 0101000
[8,6,4,2,3,1,7,5] => 1110101 => 1010111 => 0101000
[3,5,7,2,6,1,8,4] => 0010101 => 1010100 => 0101011
[6,1,3,8,5,7,2,4] => 1001010 => 0101001 => 1010110
[5,8,3,2,6,7,1,4] => 0110010 => 0100110 => 1011001
[4,8,5,3,6,2,7,1] => 0110101 => 1010110 => 0101001
[2,8,1,5,4,7,6,3] => 0101011 => 1101010 => 0010101
[1,5,8,7,4,6,2,3] => 0011010 => 0101100 => 1010011
[2,1,7,6,4,5,8,3] => 1011001 => 1001101 => 0110010
[1,7,2,4,6,5,8,3] => 0100101 => 1010010 => 0101101
[3,5,1,7,6,8,2,4] => 0101010 => 0101010 => 1010101
[5,8,2,6,1,3,7,4] => 0101001 => 1001010 => 0110101
[6,3,5,8,7,2,1,4] => 1001110 => 0111001 => 1000110
[2,5,7,8,4,1,6,3] => 0001101 => 1011000 => 0100111
[4,2,8,1,5,6,7,3] => 1010001 => 1000101 => 0111010
[4,1,5,2,6,8,7,3] => 1010011 => 1100101 => 0011010
[3,4,5,1,6,8,7,2] => 0010011 => 1100100 => 0011011
[4,2,8,5,1,6,7,3] => 1011001 => 1001101 => 0110010
[4,1,8,5,2,6,7,3] => 1011001 => 1001101 => 0110010
[2,7,1,8,5,4,6,3] => 0101101 => 1011010 => 0100101
[5,8,6,2,1,3,7,4] => 0111001 => 1001110 => 0110001
[8,2,4,1,5,6,7,3] => 1010001 => 1000101 => 0111010
[4,6,3,5,8,1,7,2] => 0100101 => 1010010 => 0101101
[1,7,8,3,5,4,6,2] => 0010101 => 1010100 => 0101011
[3,4,5,1,8,6,7,2] => 0010101 => 1010100 => 0101011
[3,8,1,4,5,6,7,2] => 0100001 => 1000010 => 0111101
[3,4,5,6,8,2,1,7] => 0000110 => 0110000 => 1001111
[3,4,5,7,1,8,6,2] => 0001011 => 1101000 => 0010111
[3,4,5,7,8,2,6,1] => 0000101 => 1010000 => 0101111
[3,4,6,2,8,5,1,7] => 0010110 => 0110100 => 1001011
[3,4,6,8,1,5,2,7] => 0001010 => 0101000 => 1010111
[3,4,7,2,1,8,6,5] => 0011011 => 1101100 => 0010011
[3,4,7,8,1,5,6,2] => 0001001 => 1001000 => 0110111
[3,4,8,2,1,5,6,7] => 0011000 => 0001100 => 1110011
[3,5,2,6,7,8,1,4] => 0100010 => 0100010 => 1011101
[3,5,2,7,8,4,6,1] => 0100101 => 1010010 => 0101101
[3,5,2,8,4,1,6,7] => 0101100 => 0011010 => 1100101
[3,5,6,2,8,4,1,7] => 0010110 => 0110100 => 1001011
[3,5,6,8,4,1,2,7] => 0001100 => 0011000 => 1100111
[3,5,7,2,4,8,6,1] => 0010011 => 1100100 => 0011011
[3,5,7,2,8,4,6,1] => 0010101 => 1010100 => 0101011
[3,5,7,8,4,1,6,2] => 0001101 => 1011000 => 0100111
[3,6,2,1,7,8,5,4] => 0110011 => 1100110 => 0011001
[3,6,2,1,8,5,4,7] => 0110110 => 0110110 => 1001001
[3,6,7,2,4,8,5,1] => 0010011 => 1100100 => 0011011
[3,6,7,2,8,5,4,1] => 0010111 => 1110100 => 0001011
[3,6,7,8,4,5,1,2] => 0001010 => 0101000 => 1010111
[3,6,8,2,4,5,1,7] => 0010010 => 0100100 => 1011011
[3,7,2,1,4,8,6,5] => 0110011 => 1100110 => 0011001
[3,7,2,1,8,5,6,4] => 0110101 => 1010110 => 0101001
[3,7,2,8,4,5,6,1] => 0101001 => 1001010 => 0110101
[3,7,8,2,4,5,6,1] => 0010001 => 1000100 => 0111011
[3,8,2,1,4,5,6,7] => 0110000 => 0000110 => 1111001
[4,1,5,6,7,8,3,2] => 1000011 => 1100001 => 0011110
[4,1,5,7,3,8,6,2] => 1001011 => 1101001 => 0010110
[4,1,6,3,7,8,5,2] => 1010011 => 1100101 => 0011010
[4,1,6,3,8,5,2,7] => 1010110 => 0110101 => 1001010
[4,1,6,7,3,8,5,2] => 1001011 => 1101001 => 0010110
[4,1,6,7,8,5,2,3] => 1000110 => 0110001 => 1001110
[4,1,6,8,3,5,2,7] => 1001010 => 0101001 => 1010110
[4,1,7,3,2,8,6,5] => 1011011 => 1101101 => 0010010
[4,1,7,8,3,5,6,2] => 1001001 => 1001001 => 0110110
[4,1,8,3,2,5,6,7] => 1011000 => 0001101 => 1110010
[4,5,2,6,7,8,3,1] => 0100011 => 1100010 => 0011101
[4,5,2,6,8,1,3,7] => 0100100 => 0010010 => 1101101
[4,5,6,3,8,1,2,7] => 0010100 => 0010100 => 1101011
[4,5,6,8,3,1,2,7] => 0001100 => 0011000 => 1100111
[4,5,7,3,8,1,6,2] => 0010101 => 1010100 => 0101011
[4,5,8,3,2,1,6,7] => 0011100 => 0011100 => 1100011
[4,6,2,3,7,8,5,1] => 0100011 => 1100010 => 0011101
[4,6,2,3,8,5,1,7] => 0100110 => 0110010 => 1001101
[4,6,2,7,3,8,5,1] => 0101011 => 1101010 => 0010101
[4,6,2,7,8,5,1,3] => 0100110 => 0110010 => 1001101
[4,6,7,3,2,8,5,1] => 0011011 => 1101100 => 0010011
[4,6,8,3,2,5,1,7] => 0011010 => 0101100 => 1010011
[4,7,2,3,1,8,6,5] => 0101011 => 1101010 => 0010101
[4,7,2,8,3,5,6,1] => 0101001 => 1001010 => 0110101
[4,7,8,3,2,5,6,1] => 0011001 => 1001100 => 0110011
[4,8,2,3,1,5,6,7] => 0101000 => 0001010 => 1110101
[5,1,2,6,8,4,3,7] => 1000110 => 0110001 => 1001110
[5,1,2,7,4,8,6,3] => 1001011 => 1101001 => 0010110
[5,1,2,7,8,4,6,3] => 1000101 => 1010001 => 0101110
[5,1,2,8,4,3,6,7] => 1001100 => 0011001 => 1100110
[5,1,6,3,8,4,2,7] => 1010110 => 0110101 => 1001010
[5,1,6,7,4,8,2,3] => 1001010 => 0101001 => 1010110
[5,1,6,7,8,4,2,3] => 1000110 => 0110001 => 1001110
[5,1,8,3,4,2,6,7] => 1010100 => 0010101 => 1101010
[5,6,2,3,8,4,1,7] => 0100110 => 0110010 => 1001101
[5,6,2,7,8,4,1,3] => 0100110 => 0110010 => 1001101
[5,6,8,3,4,2,1,7] => 0010110 => 0110100 => 1001011
[5,7,2,3,4,8,6,1] => 0100011 => 1100010 => 0011101
[5,7,2,3,8,4,6,1] => 0100101 => 1010010 => 0101101
[5,7,8,3,4,2,6,1] => 0010101 => 1010100 => 0101011
[5,8,2,3,4,1,6,7] => 0100100 => 0010010 => 1101101
[6,1,2,3,7,8,5,4] => 1000011 => 1100001 => 0011110
[6,1,2,3,8,5,4,7] => 1000110 => 0110001 => 1001110
[6,1,2,7,8,5,4,3] => 1000111 => 1110001 => 0001110
[6,1,2,8,4,5,3,7] => 1001010 => 0101001 => 1010110
[6,1,7,3,4,8,5,2] => 1010011 => 1100101 => 0011010
[6,1,7,3,8,5,4,2] => 1010111 => 1110101 => 0001010
[6,1,7,8,4,5,3,2] => 1001011 => 1101001 => 0010110
[6,1,8,3,4,5,2,7] => 1010010 => 0100101 => 1011010
[6,7,2,3,8,5,4,1] => 0100111 => 1110010 => 0001101
[6,7,2,8,4,5,3,1] => 0101011 => 1101010 => 0010101
[6,8,2,3,4,5,1,7] => 0100010 => 0100010 => 1011101
[7,1,2,3,4,8,6,5] => 1000011 => 1100001 => 0011110
[7,1,2,8,4,5,6,3] => 1001001 => 1001001 => 0110110
[7,1,8,3,4,5,6,2] => 1010001 => 1000101 => 0111010
[6,4,1,8,2,3,7,5] => 1101001 => 1001011 => 0110100
[5,8,1,2,4,3,7,6] => 0100101 => 1010010 => 0101101
[1,3,5,7,2,6,4,8] => 0001010 => 0101000 => 1010111
[3,5,8,6,1,2,4,7] => 0011000 => 0001100 => 1110011
[3,1,6,8,2,4,7,5] => 1001001 => 1001001 => 0110110
[3,6,2,8,1,5,7,4] => 0101001 => 1001010 => 0110101
[2,6,1,3,8,4,7,5] => 0100101 => 1010010 => 0101101
[1,7,5,2,3,4,6,8] => 0110000 => 0000110 => 1111001
[2,7,5,1,3,8,4,6] => 0110010 => 0100110 => 1011001
[8,2,5,7,4,6,1,3] => 1001010 => 0101001 => 1010110
[8,2,1,3,7,6,4,5] => 1100110 => 0110011 => 1001100
[8,2,5,1,3,7,4,6] => 1010010 => 0100101 => 1011010
[8,2,7,5,3,1,6,4] => 1011101 => 1011101 => 0100010
[8,2,6,5,4,7,1,3] => 1011010 => 0101101 => 1010010
[7,6,5,2,4,8,1,3] => 1110010 => 0100111 => 1011000
[7,8,2,5,3,1,6,4] => 0101101 => 1011010 => 0100101
[7,1,8,6,3,2,4,5] => 1011100 => 0011101 => 1100010
[6,8,1,5,3,2,4,7] => 0101100 => 0011010 => 1100101
[1,6,7,5,3,2,4,8] => 0011100 => 0011100 => 1100011
[6,5,1,2,4,8,3,7] => 1100010 => 0100011 => 1011100
[7,8,1,6,4,2,3,5] => 0101100 => 0011010 => 1100101
[8,4,1,2,5,6,3,7] => 1100010 => 0100011 => 1011100
[1,7,3,6,5,2,4,8] => 0101100 => 0011010 => 1100101
[8,1,3,7,2,6,4,5] => 1001010 => 0101001 => 1010110
[7,3,2,6,5,1,8,4] => 1101101 => 1011011 => 0100100
[7,8,4,2,5,6,1,3] => 0110010 => 0100110 => 1011001
[8,2,7,4,5,6,1,3] => 1010010 => 0100101 => 1011010
[8,2,3,6,5,1,7,4] => 1001101 => 1011001 => 0100110
[7,9,8,6,5,4,3,2,1] => 01111111 => 11111110 => 00000001
[6,9,8,7,5,4,3,2,1] => 01111111 => 11111110 => 00000001
[5,9,8,7,6,4,3,2,1] => 01111111 => 11111110 => 00000001
[4,9,8,7,6,5,3,2,1] => 01111111 => 11111110 => 00000001
[3,9,8,7,6,5,4,2,1] => 01111111 => 11111110 => 00000001
[2,9,8,7,6,5,4,3,1] => 01111111 => 11111110 => 00000001
[8,10,9,7,6,5,4,3,2,1] => 011111111 => 111111110 => 000000001
[6,9,7,8,5,4,3,2,1] => 01011111 => 11111010 => 00000101
[7,10,9,8,6,5,4,3,2,1] => 011111111 => 111111110 => 000000001
[4,8,6,5,7,3,2,1] => 0110111 => 1110110 => 0001001
[5,9,8,6,7,4,3,2,1] => 01101111 => 11110110 => 00001001
[6,10,9,8,7,5,4,3,2,1] => 011111111 => 111111110 => 000000001
[3,8,7,5,4,6,2,1] => 0111011 => 1101110 => 0010001
[4,8,5,6,7,3,2,1] => 0100111 => 1110010 => 0001101
[4,9,8,7,5,6,3,2,1] => 01110111 => 11101110 => 00010001
[5,10,9,8,7,6,4,3,2,1] => 011111111 => 111111110 => 000000001
[2,8,7,6,4,3,5,1] => 0111101 => 1011110 => 0100001
[3,8,7,4,5,6,2,1] => 0110011 => 1100110 => 0011001
[3,9,8,7,6,4,5,2,1] => 01111011 => 11011110 => 00100001
[4,10,9,8,7,6,5,3,2,1] => 011111111 => 111111110 => 000000001
[1,8,7,6,5,3,2,4] => 0111110 => 0111110 => 1000001
[2,8,7,6,3,4,5,1] => 0111001 => 1001110 => 0110001
[2,9,8,7,6,5,3,4,1] => 01111101 => 10111110 => 01000001
[3,10,9,8,7,6,5,4,2,1] => 011111111 => 111111110 => 000000001
[1,8,7,6,5,2,3,4] => 0111100 => 0011110 => 1100001
[1,9,8,7,6,5,4,2,3] => 01111110 => 01111110 => 10000001
[2,10,9,8,7,6,5,4,3,1] => 011111111 => 111111110 => 000000001
[7,2,8,6,5,4,1,3] => 1011110 => 0111101 => 1000010
[7,2,8,5,4,6,1,3] => 1011010 => 0101101 => 1010010
[6,3,2,8,5,1,7,4] => 1101101 => 1011011 => 0100100
[8,4,7,2,5,6,3,1] => 1010011 => 1100101 => 0011010
[6,8,5,4,3,1,7,2] => 0111101 => 1011110 => 0100001
[5,8,6,4,1,3,7,2] => 0111001 => 1001110 => 0110001
[4,8,6,1,5,3,7,2] => 0110101 => 1010110 => 0101001
[3,6,1,8,5,2,7,4] => 0101101 => 1011010 => 0100101
[3,4,1,2,8,6,7,5] => 0100101 => 1010010 => 0101101
[6,8,3,5,4,1,7,2] => 0101101 => 1011010 => 0100101
[7,2,5,8,3,6,1,4] => 1001010 => 0101001 => 1010110
[1,7,5,6,3,4,2,8] => 0101010 => 0101010 => 1010101
[7,2,6,8,5,3,1,4] => 1001110 => 0111001 => 1000110
[7,6,3,8,5,2,1,4] => 1101110 => 0111011 => 1000100
[7,2,6,4,8,3,1,5] => 1010110 => 0110101 => 1001010
[1,5,7,4,2,6,3,8] => 0011010 => 0101100 => 1010011
[4,2,3,1,7,8,5,6] => 1010010 => 0100101 => 1011010
[5,2,8,4,1,7,6,3] => 1011011 => 1101101 => 0010010
[8,6,3,4,7,2,5,1] => 1100101 => 1010011 => 0101100
[6,8,3,4,5,1,7,2] => 0100101 => 1010010 => 0101101
[1,6,3,2,5,8,4,7] => 0110010 => 0100110 => 1011001
[8,3,2,1,5,4,7,6] => 1110101 => 1010111 => 0101000
[6,3,7,1,5,8,4,2] => 1010011 => 1100101 => 0011010
[2,5,1,8,4,3,7,6] => 0101101 => 1011010 => 0100101
[6,2,5,4,8,1,3,7] => 1010100 => 0010101 => 1101010
[4,3,1,6,5,8,2,7] => 1101010 => 0101011 => 1010100
[1,3,5,4,6,8,2,7] => 0010010 => 0100100 => 1011011
[6,1,3,4,5,8,2,7] => 1000010 => 0100001 => 1011110
[8,3,4,1,5,2,7,6] => 1010101 => 1010101 => 0101010
[7,5,4,2,6,8,3,1] => 1110011 => 1100111 => 0011000
[8,2,6,4,1,7,3,5] => 1011010 => 0101101 => 1010010
[7,3,8,4,5,2,1,6] => 1010110 => 0110101 => 1001010
[7,2,5,1,8,4,3,6] => 1010110 => 0110101 => 1001010
[1,7,3,2,5,4,8,6] => 0110101 => 1010110 => 0101001
[8,7,2,1,5,3,4,6] => 1110100 => 0010111 => 1101000
[3,6,1,5,8,7,4,2] => 0100111 => 1110010 => 0001101
[8,3,6,4,5,1,7,2] => 1010101 => 1010101 => 0101010
[5,4,6,8,1,2,7,3] => 1001001 => 1001001 => 0110110
[6,4,7,2,3,5,8,1] => 1010001 => 1000101 => 0111010
[6,8,4,1,3,5,7,2] => 0110001 => 1000110 => 0111001
[3,4,7,8,6,2,5,1] => 0001101 => 1011000 => 0100111
[4,1,3,5,7,8,6,2] => 1000011 => 1100001 => 0011110
[6,5,1,8,4,7,3,2] => 1101011 => 1101011 => 0010100
[5,3,1,8,4,7,6,2] => 1101011 => 1101011 => 0010100
[8,2,7,4,6,1,3,5] => 1010100 => 0010101 => 1101010
[4,7,3,2,8,1,6,5] => 0110101 => 1010110 => 0101001
[6,3,1,4,7,2,8,5] => 1100101 => 1010011 => 0101100
[8,7,3,6,1,5,2,4] => 1101010 => 0101011 => 1010100
[7,4,3,6,8,2,5,1] => 1100101 => 1010011 => 0101100
[2,4,7,3,8,5,6,1] => 0010101 => 1010100 => 0101011
[2,8,6,1,5,7,3,4] => 0110010 => 0100110 => 1011001
[7,8,2,5,4,3,1,6] => 0101110 => 0111010 => 1000101
[1,8,3,4,2,7,6,5] => 0101011 => 1101010 => 0010101
[8,5,3,7,4,2,6,1] => 1101101 => 1011011 => 0100100
[5,7,3,2,4,1,8,6] => 0110101 => 1010110 => 0101001
[2,8,3,4,7,1,5,6] => 0100100 => 0010010 => 1101101
[4,1,3,6,7,8,2,5] => 1000010 => 0100001 => 1011110
[1,7,6,3,2,5,8,4] => 0111001 => 1001110 => 0110001
[3,8,1,5,6,2,7,4] => 0100101 => 1010010 => 0101101
[8,2,5,6,1,7,4,3] => 1001011 => 1101001 => 0010110
[7,1,5,2,8,6,4,3] => 1010111 => 1110101 => 0001010
[6,5,4,8,7,2,1,3] => 1101110 => 0111011 => 1000100
[1,8,6,4,5,2,7,3] => 0110101 => 1010110 => 0101001
[1,8,5,3,6,2,7,4] => 0110101 => 1010110 => 0101001
[3,6,2,1,7,5,8,4] => 0110101 => 1010110 => 0101001
[2,5,4,1,8,7,6,3] => 0110111 => 1110110 => 0001001
[4,7,2,6,5,8,1,3] => 0101010 => 0101010 => 1010101
[6,8,1,4,2,7,3,5] => 0101010 => 0101010 => 1010101
[6,3,4,7,1,8,2,5] => 1001010 => 0101001 => 1010110
[3,4,7,8,2,5,6,1] => 0001001 => 1001000 => 0110111
[1,8,2,4,5,6,7,3] => 0100001 => 1000010 => 0111101
[5,2,4,1,6,8,7,3] => 1010011 => 1100101 => 0011010
[3,2,5,7,6,1,8,4] => 1001101 => 1011001 => 0100110
[4,3,5,6,1,8,7,2] => 1001011 => 1101001 => 0010110
[5,3,4,1,7,6,8,2] => 1010101 => 1010101 => 0101010
[3,1,4,6,5,7,8,2] => 1001001 => 1001001 => 0110110
[1,4,7,3,5,6,8,2] => 0010001 => 1000100 => 0111011
[1,3,2,7,5,8,6,4] => 0101011 => 1101010 => 0010101
[1,4,2,5,8,3,7,6] => 0100101 => 1010010 => 0101101
[4,1,2,6,8,5,3,7] => 1000110 => 0110001 => 1001110
[1,5,2,4,8,7,6,3] => 0100111 => 1110010 => 0001101
[1,2,6,4,8,7,5,3] => 0010111 => 1110100 => 0001011
[1,2,7,4,8,6,5,3] => 0010111 => 1110100 => 0001011
[1,3,2,7,5,8,4,6] => 0101010 => 0101010 => 1010101
[1,3,2,8,5,7,4,6] => 0101010 => 0101010 => 1010101
[1,5,2,4,8,7,3,6] => 0100110 => 0110010 => 1001101
[1,2,6,4,8,7,3,5] => 0010110 => 0110100 => 1001011
[1,2,7,8,5,6,3,4] => 0001010 => 0101000 => 1010111
[1,3,8,2,6,7,4,5] => 0010010 => 0100100 => 1011011
[1,6,7,8,2,5,3,4] => 0001010 => 0101000 => 1010111
[1,5,7,8,2,3,6,4] => 0001001 => 1001000 => 0110111
[1,5,2,7,8,4,6,3] => 0100101 => 1010010 => 0101101
[1,3,6,2,4,8,7,5] => 0010011 => 1100100 => 0011011
[1,6,7,3,4,8,5,2] => 0010011 => 1100100 => 0011011
[1,5,3,7,4,8,6,2] => 0101011 => 1101010 => 0010101
[2,8,4,1,5,3,7,6] => 0110101 => 1010110 => 0101001
[3,8,4,1,5,7,2,6] => 0110010 => 0100110 => 1011001
[1,3,8,4,2,7,6,5] => 0011011 => 1101100 => 0010011
[1,2,8,4,7,3,6,5] => 0010101 => 1010100 => 0101011
[1,2,7,4,8,3,6,5] => 0010101 => 1010100 => 0101011
[1,2,6,4,8,3,7,5] => 0010101 => 1010100 => 0101011
[1,5,2,4,8,3,7,6] => 0100101 => 1010010 => 0101101
[1,8,3,5,2,7,4,6] => 0101010 => 0101010 => 1010101
[1,3,8,6,2,7,4,5] => 0011010 => 0101100 => 1010011
[1,4,8,6,7,2,3,5] => 0010100 => 0010100 => 1101011
[1,2,6,8,5,3,7,4] => 0001101 => 1011000 => 0100111
[1,2,7,8,6,3,5,4] => 0001101 => 1011000 => 0100111
[1,6,7,8,5,2,3,4] => 0001100 => 0011000 => 1100111
[1,5,7,8,6,2,3,4] => 0001100 => 0011000 => 1100111
[1,4,7,6,8,2,3,5] => 0010100 => 0010100 => 1101011
[1,3,7,6,2,8,4,5] => 0011010 => 0101100 => 1010011
[2,3,8,7,4,1,6,5] => 0011101 => 1011100 => 0100011
[1,2,5,8,7,6,3,4] => 0001110 => 0111000 => 1000111
[1,2,6,8,7,5,3,4] => 0001110 => 0111000 => 1000111
[1,2,7,8,6,5,3,4] => 0001110 => 0111000 => 1000111
[5,2,6,7,3,4,8,1] => 1001001 => 1001001 => 0110110
[5,2,4,7,6,3,8,1] => 1001101 => 1011001 => 0100110
[5,6,2,1,7,8,3,4] => 0110010 => 0100110 => 1011001
[5,6,2,1,4,8,7,3] => 0110011 => 1100110 => 0011001
[2,6,1,4,5,8,7,3] => 0100011 => 1100010 => 0011101
[5,4,2,7,6,3,8,1] => 1101101 => 1011011 => 0100100
[2,3,7,6,4,5,8,1] => 0011001 => 1001100 => 0110011
[2,6,1,7,5,8,3,4] => 0101010 => 0101010 => 1010101
[2,6,1,7,4,8,5,3] => 0101011 => 1101010 => 0010101
[5,1,2,7,8,4,3,6] => 1000110 => 0110001 => 1001110
[2,6,1,7,4,8,3,5] => 0101010 => 0101010 => 1010101
[3,6,4,1,7,8,2,5] => 0110010 => 0100110 => 1011001
[5,4,6,1,3,8,7,2] => 1010011 => 1100101 => 0011010
[3,6,4,1,5,8,7,2] => 0110011 => 1100110 => 0011001
[2,6,1,5,4,8,7,3] => 0101011 => 1101010 => 0010101
[2,6,1,4,7,8,5,3] => 0100011 => 1100010 => 0011101
[5,1,2,4,8,6,7,3] => 1000101 => 1010001 => 0101110
[5,1,2,4,8,7,3,6] => 1000110 => 0110001 => 1001110
[5,1,2,4,8,7,6,3] => 1000111 => 1110001 => 0001110
[1,2,3,8,5,4,7,6] => 0001101 => 1011000 => 0100111
[4,3,1,2,8,5,7,6] => 1100101 => 1010011 => 0101100
[2,1,5,3,8,6,4,7] => 1010110 => 0110101 => 1001010
[1,2,3,8,5,6,4,7] => 0001010 => 0101000 => 1010111
[1,2,3,8,6,4,5,7] => 0001100 => 0011000 => 1100111
[1,2,3,8,6,5,4,7] => 0001110 => 0111000 => 1000111
[1,2,3,8,5,4,6,7] => 0001100 => 0011000 => 1100111
[2,6,1,5,4,8,3,7] => 0101010 => 0101010 => 1010101
[5,1,2,4,8,6,3,7] => 1000110 => 0110001 => 1001110
[5,1,2,4,8,3,7,6] => 1000101 => 1010001 => 0101110
[5,6,3,1,4,8,2,7] => 0110010 => 0100110 => 1011001
[2,5,4,3,1,8,6,7] => 0111010 => 0101110 => 1010001
[5,4,6,3,1,8,7,2] => 1011011 => 1101101 => 0010010
[3,6,4,5,1,8,7,2] => 0101011 => 1101010 => 0010101
[3,6,5,4,1,8,7,2] => 0111011 => 1101110 => 0010001
[5,2,6,1,7,8,4,3] => 1010011 => 1100101 => 0011010
[5,1,6,2,8,7,3,4] => 1010110 => 0110101 => 1001010
[2,1,3,7,8,6,4,5] => 1000110 => 0110001 => 1001110
[2,1,3,7,8,5,6,4] => 1000101 => 1010001 => 0101110
[5,2,4,1,7,8,6,3] => 1010011 => 1100101 => 0011010
[4,3,1,2,8,6,7,5] => 1100101 => 1010011 => 0101100
[5,1,4,2,8,6,7,3] => 1010101 => 1010101 => 0101010
[2,1,3,6,8,5,7,4] => 1000101 => 1010001 => 0101110
[1,2,3,8,6,7,4,5] => 0001010 => 0101000 => 1010111
[1,2,3,8,7,5,4,6] => 0001110 => 0111000 => 1000111
[1,2,3,8,7,4,5,6] => 0001100 => 0011000 => 1100111
[1,2,3,8,5,7,4,6] => 0001010 => 0101000 => 1010111
[2,1,3,6,8,7,4,5] => 1000110 => 0110001 => 1001110
[5,4,1,2,8,7,6,3] => 1100111 => 1110011 => 0001100
[3,1,6,2,8,7,5,4] => 1010111 => 1110101 => 0001010
[1,2,3,4,5,9,6,7,8] => 00000100 => 00100000 => 11011111
[1,2,3,4,9,5,6,7,8] => 00001000 => 00010000 => 11101111
[1,2,3,9,4,5,6,7,8] => 00010000 => 00001000 => 11110111
[1,2,9,3,4,5,6,7,8] => 00100000 => 00000100 => 11111011
[1,2,3,4,5,6,7,10,8,9] => 000000010 => 010000000 => 101111111
[1,2,3,4,5,9,7,6,8] => 00000110 => 01100000 => 10011111
[1,2,3,4,5,6,10,7,8,9] => 000000100 => 001000000 => 110111111
[1,2,3,4,9,6,5,7,8] => 00001100 => 00110000 => 11001111
[1,2,3,4,5,10,6,7,8,9] => 000001000 => 000100000 => 111011111
[1,2,8,4,5,3,6,7] => 0010100 => 0010100 => 1101011
[1,2,3,9,5,4,6,7,8] => 00011000 => 00011000 => 11100111
[1,2,3,4,10,5,6,7,8,9] => 000010000 => 000010000 => 111101111
[1,8,3,4,2,5,6,7] => 0101000 => 0001010 => 1110101
[1,2,9,4,3,5,6,7,8] => 00110000 => 00001100 => 11110011
[1,2,3,10,4,5,6,7,8,9] => 000100000 => 000001000 => 111110111
[1,8,4,3,2,5,6,7] => 0111000 => 0001110 => 1110001
[1,9,3,2,4,5,6,7,8] => 01100000 => 00000110 => 11111001
[1,2,10,3,4,5,6,7,8,9] => 001000000 => 000000100 => 111111011
[8,4,7,6,5,3,2,1] => 1011111 => 1111101 => 0000010
[8,4,7,5,6,3,2,1] => 1010111 => 1110101 => 0001010
[8,5,7,4,6,3,2,1] => 1010111 => 1110101 => 0001010
[8,7,6,3,5,4,2,1] => 1110111 => 1110111 => 0001000
[8,6,7,3,5,4,2,1] => 1010111 => 1110101 => 0001010
[8,5,7,3,6,4,2,1] => 1010111 => 1110101 => 0001010
[8,1,7,4,6,5,3,2] => 1010111 => 1110101 => 0001010
[8,1,7,3,6,5,4,2] => 1010111 => 1110101 => 0001010
[8,2,7,3,6,5,4,1] => 1010111 => 1110101 => 0001010
[8,3,7,2,6,5,4,1] => 1010111 => 1110101 => 0001010
[8,5,7,2,6,4,3,1] => 1010111 => 1110101 => 0001010
[8,6,7,2,5,4,3,1] => 1010111 => 1110101 => 0001010
[8,7,6,2,5,4,3,1] => 1110111 => 1110111 => 0001000
[8,4,7,1,6,5,3,2] => 1010111 => 1110101 => 0001010
[8,3,7,1,6,5,4,2] => 1010111 => 1110101 => 0001010
[8,2,7,1,6,5,4,3] => 1010111 => 1110101 => 0001010
[8,1,7,2,6,5,4,3] => 1010111 => 1110101 => 0001010
[8,7,6,2,5,3,4,1] => 1110101 => 1010111 => 0101000
[8,1,7,6,5,3,4,2] => 1011101 => 1011101 => 0100010
[8,3,7,6,5,2,4,1] => 1011101 => 1011101 => 0100010
[8,4,7,6,5,2,3,1] => 1011101 => 1011101 => 0100010
[8,5,7,6,4,2,3,1] => 1011101 => 1011101 => 0100010
[8,6,7,5,4,1,3,2] => 1011101 => 1011101 => 0100010
[8,5,7,6,4,1,3,2] => 1011101 => 1011101 => 0100010
[8,3,7,6,5,1,4,2] => 1011101 => 1011101 => 0100010
[8,7,6,4,5,1,3,2] => 1110101 => 1010111 => 0101000
[8,7,6,2,5,1,4,3] => 1110101 => 1010111 => 0101000
[8,7,6,1,5,2,4,3] => 1110101 => 1010111 => 0101000
[6,8,1,3,2,5,4,7] => 0101010 => 0101010 => 1010101
[6,8,1,4,2,5,3,7] => 0101010 => 0101010 => 1010101
[7,8,3,6,1,4,2,5] => 0101010 => 0101010 => 1010101
[7,8,2,5,3,6,1,4] => 0101010 => 0101010 => 1010101
[7,8,2,5,1,4,3,6] => 0101010 => 0101010 => 1010101
[7,8,1,4,3,6,2,5] => 0101010 => 0101010 => 1010101
[5,8,1,4,3,7,2,6] => 0101010 => 0101010 => 1010101
[6,8,2,5,1,4,3,7] => 0101010 => 0101010 => 1010101
[6,8,2,5,3,7,1,4] => 0101010 => 0101010 => 1010101
[6,8,2,5,4,7,1,3] => 0101010 => 0101010 => 1010101
[2,5,4,7,6,8,1,3] => 0101010 => 0101010 => 1010101
[2,5,3,7,6,8,1,4] => 0101010 => 0101010 => 1010101
[2,5,1,4,3,7,6,8] => 0101010 => 0101010 => 1010101
[2,6,1,4,3,7,5,8] => 0101010 => 0101010 => 1010101
[2,6,5,8,1,4,3,7] => 0101010 => 0101010 => 1010101
[2,6,1,5,3,7,4,8] => 0101010 => 0101010 => 1010101
[2,6,3,7,4,8,1,5] => 0101010 => 0101010 => 1010101
[2,6,4,7,5,8,1,3] => 0101010 => 0101010 => 1010101
[5,8,3,6,4,7,1,2] => 0101010 => 0101010 => 1010101
[5,8,2,6,4,7,1,3] => 0101010 => 0101010 => 1010101
[4,8,2,6,3,7,1,5] => 0101010 => 0101010 => 1010101
[4,8,1,5,3,7,2,6] => 0101010 => 0101010 => 1010101
[4,8,1,5,2,6,3,7] => 0101010 => 0101010 => 1010101
[4,8,3,7,1,5,2,6] => 0101010 => 0101010 => 1010101
[6,8,3,7,1,4,2,5] => 0101010 => 0101010 => 1010101
[5,8,1,3,2,6,4,7] => 0101010 => 0101010 => 1010101
[5,8,4,7,1,3,2,6] => 0101010 => 0101010 => 1010101
[6,8,4,7,1,3,2,5] => 0101010 => 0101010 => 1010101
[6,8,5,7,1,3,2,4] => 0101010 => 0101010 => 1010101
[5,7,6,8,2,4,1,3] => 0101010 => 0101010 => 1010101
[4,7,6,8,1,3,2,5] => 0101010 => 0101010 => 1010101
[4,7,5,8,1,3,2,6] => 0101010 => 0101010 => 1010101
[4,7,1,3,2,6,5,8] => 0101010 => 0101010 => 1010101
[3,7,1,4,2,6,5,8] => 0101010 => 0101010 => 1010101
[3,7,5,8,1,4,2,6] => 0101010 => 0101010 => 1010101
[3,7,6,8,1,4,2,5] => 0101010 => 0101010 => 1010101
[3,7,6,8,2,5,1,4] => 0101010 => 0101010 => 1010101
[4,7,6,8,2,5,1,3] => 0101010 => 0101010 => 1010101
[4,7,5,8,3,6,1,2] => 0101010 => 0101010 => 1010101
[4,7,5,8,2,6,1,3] => 0101010 => 0101010 => 1010101
[3,7,5,8,2,6,1,4] => 0101010 => 0101010 => 1010101
[3,7,4,8,2,6,1,5] => 0101010 => 0101010 => 1010101
[3,7,4,8,1,5,2,6] => 0101010 => 0101010 => 1010101
[3,7,1,5,2,6,4,8] => 0101010 => 0101010 => 1010101
[3,7,2,6,1,5,4,8] => 0101010 => 0101010 => 1010101
[3,7,2,6,5,8,1,4] => 0101010 => 0101010 => 1010101
[4,7,3,6,5,8,1,2] => 0101010 => 0101010 => 1010101
[3,6,5,8,4,7,1,2] => 0101010 => 0101010 => 1010101
[2,6,5,8,4,7,1,3] => 0101010 => 0101010 => 1010101
[2,6,5,8,3,7,1,4] => 0101010 => 0101010 => 1010101
[2,6,3,7,1,5,4,8] => 0101010 => 0101010 => 1010101
[7,6,4,2,8,5,3,1] => 1110111 => 1110111 => 0001000
[7,6,4,3,8,2,5,1] => 1110101 => 1010111 => 0101000
[7,6,4,8,5,2,3,1] => 1101101 => 1011011 => 0100100
[6,8,4,3,7,2,1,5] => 0110110 => 0110110 => 1001001
[6,7,4,3,5,1,8,2] => 0110101 => 1010110 => 0101001
[6,7,3,5,4,8,2,1] => 0101011 => 1101010 => 0010101
[6,8,3,7,5,2,4,1] => 0101101 => 1011010 => 0100101
[7,6,8,3,5,2,4,1] => 1010101 => 1010101 => 0101010
[7,6,3,5,8,2,4,1] => 1100101 => 1010011 => 0101100
[7,6,3,5,2,4,8,1] => 1101001 => 1001011 => 0110100
[7,6,4,2,5,1,8,3] => 1110101 => 1010111 => 0101000
[7,6,2,8,4,1,5,3] => 1101101 => 1011011 => 0100100
[7,6,3,8,2,4,1,5] => 1101010 => 0101011 => 1010100
[7,6,3,4,8,2,5,1] => 1100101 => 1010011 => 0101100
[6,8,3,7,4,5,2,1] => 0101011 => 1101010 => 0010101
[6,7,3,5,8,4,2,1] => 0100111 => 1110010 => 0001101
[5,7,8,3,6,2,1,4] => 0010110 => 0110100 => 1001011
[5,8,3,6,7,2,1,4] => 0100110 => 0110010 => 1001101
[6,3,4,8,7,2,5,1] => 1001101 => 1011001 => 0100110
[6,3,8,4,7,2,1,5] => 1010110 => 0110101 => 1001010
[6,2,8,4,1,7,5,3] => 1011011 => 1101101 => 0010010
[6,2,7,4,1,5,3,8] => 1011010 => 0101101 => 1010010
[6,3,4,7,5,8,2,1] => 1001011 => 1101001 => 0010110
[6,3,5,7,8,4,2,1] => 1000111 => 1110001 => 0001110
[5,7,3,6,8,2,1,4] => 0100110 => 0110010 => 1001101
[5,6,8,3,7,2,1,4] => 0010110 => 0110100 => 1001011
[5,6,7,3,4,1,8,2] => 0010101 => 1010100 => 0101011
[4,6,7,8,3,5,2,1] => 0001011 => 1101000 => 0010111
[4,6,8,3,5,7,2,1] => 0010011 => 1100100 => 0011011
[4,7,3,5,6,8,2,1] => 0100011 => 1100010 => 0011101
[4,7,3,5,8,2,6,1] => 0100101 => 1010010 => 0101101
[5,3,4,7,8,2,1,6] => 1000110 => 0110001 => 1001110
[5,3,8,2,4,1,6,7] => 1010100 => 0010101 => 1101010
[5,3,4,8,2,6,1,7] => 1001010 => 0101001 => 1010110
[4,8,3,6,2,5,7,1] => 0101001 => 1001010 => 0110101
[4,8,3,5,7,2,6,1] => 0100101 => 1010010 => 0101101
[4,8,3,5,6,7,2,1] => 0100011 => 1100010 => 0011101
[4,7,8,3,5,6,2,1] => 0010011 => 1100100 => 0011011
[4,7,8,3,6,2,5,1] => 0010101 => 1010100 => 0101011
[4,8,3,6,7,2,5,1] => 0100101 => 1010010 => 0101101
[4,8,3,7,2,5,6,1] => 0101001 => 1001010 => 0110101
[5,3,4,8,2,7,6,1] => 1001011 => 1101001 => 0010110
[5,3,8,2,4,1,7,6] => 1010101 => 1010101 => 0101010
[5,2,8,4,1,7,3,6] => 1011010 => 0101101 => 1010010
[6,4,2,5,1,8,7,3] => 1101011 => 1101011 => 0010100
[6,4,3,5,8,2,1,7] => 1100110 => 0110011 => 1001100
[6,3,5,8,7,2,4,1] => 1001101 => 1011001 => 0100110
[5,8,3,7,2,6,4,1] => 0101011 => 1101010 => 0010101
[5,7,3,4,8,2,1,6] => 0100110 => 0110010 => 1001101
[5,8,4,2,3,1,6,7] => 0110100 => 0010110 => 1101001
[5,8,4,2,3,1,7,6] => 0110101 => 1010110 => 0101001
[6,4,5,3,8,2,1,7] => 1010110 => 0110101 => 1001010
[6,4,8,5,3,7,2,1] => 1011011 => 1101101 => 0010010
[6,4,3,8,5,7,2,1] => 1101011 => 1101011 => 0010100
[6,4,2,8,5,3,1,7] => 1101110 => 0111011 => 1000100
[6,4,2,7,3,1,8,5] => 1101101 => 1011011 => 0100100
[6,4,3,7,8,5,2,1] => 1100111 => 1110011 => 0001100
[6,4,5,3,7,1,8,2] => 1010101 => 1010101 => 0101010
[5,7,4,2,3,1,6,8] => 0110100 => 0010110 => 1101001
[5,6,3,7,1,8,2,4] => 0101010 => 0101010 => 1010101
[5,6,3,4,7,1,8,2] => 0100101 => 1010010 => 0101101
[5,6,3,4,8,2,1,7] => 0100110 => 0110010 => 1001101
[6,3,5,7,4,8,2,1] => 1001011 => 1101001 => 0010110
[6,3,5,4,7,8,2,1] => 1010011 => 1100101 => 0011010
[6,4,3,5,7,1,8,2] => 1100101 => 1010011 => 0101100
[6,4,2,5,1,7,3,8] => 1101010 => 0101011 => 1010100
[5,3,7,2,4,1,6,8] => 1010100 => 0010101 => 1101010
[5,3,4,7,2,6,1,8] => 1001010 => 0101001 => 1010110
[4,7,3,6,2,5,8,1] => 0101001 => 1001010 => 0110101
[4,7,3,6,8,2,5,1] => 0100101 => 1010010 => 0101101
[4,6,7,3,5,8,2,1] => 0010011 => 1100100 => 0011011
[4,5,7,8,3,6,2,1] => 0001011 => 1101000 => 0010111
[4,5,8,3,6,7,2,1] => 0010011 => 1100100 => 0011011
[4,5,8,3,7,2,6,1] => 0010101 => 1010100 => 0101011
[5,3,4,6,8,2,1,7] => 1000110 => 0110001 => 1001110
[5,3,6,8,2,1,4,7] => 1001100 => 0011001 => 1100110
[5,3,6,7,1,8,2,4] => 1001010 => 0101001 => 1010110
[5,3,4,6,7,1,8,2] => 1000101 => 1010001 => 0101110
[4,6,3,5,7,8,2,1] => 0100011 => 1100010 => 0011101
[4,5,7,3,6,8,2,1] => 0010011 => 1100100 => 0011011
[4,5,6,8,3,7,2,1] => 0001011 => 1101000 => 0010111
[5,7,4,8,6,3,2,1] => 0101111 => 1111010 => 0000101
[3,2,6,5,1,8,7,4] => 1011011 => 1101101 => 0010010
[3,5,6,7,2,8,4,1] => 0001011 => 1101000 => 0010111
[7,6,9,8,5,4,3,2,1] => 10111111 => 11111101 => 00000010
[6,5,4,9,8,7,3,2,1] => 11011111 => 11111011 => 00000100
[6,8,5,9,7,4,3,2,1] => 01011111 => 11111010 => 00000101
[6,7,8,9,5,4,3,2,1] => 00011111 => 11111000 => 00000111
[5,4,3,2,9,8,7,6,1] => 11101111 => 11110111 => 00001000
[5,8,4,3,9,7,6,2,1] => 01101111 => 11110110 => 00001001
[5,4,7,6,9,8,3,2,1] => 10101111 => 11110101 => 00001010
[5,7,8,4,9,6,3,2,1] => 00101111 => 11110100 => 00001011
[5,6,7,8,9,4,3,2,1] => 00001111 => 11110000 => 00001111
[4,8,3,2,1,9,7,6,5] => 01110111 => 11101110 => 00010001
[4,3,7,6,2,9,8,5,1] => 10110111 => 11101101 => 00010010
[4,7,8,3,2,9,6,5,1] => 00110111 => 11101100 => 00010011
[4,6,3,8,5,9,7,2,1] => 01010111 => 11101010 => 00010101
[4,6,7,8,3,9,5,2,1] => 00010111 => 11101000 => 00010111
[4,5,6,7,8,9,3,2,1] => 00000111 => 11100000 => 00011111
[3,2,1,6,5,4,9,8,7] => 11011011 => 11011011 => 00100100
[3,6,2,8,5,1,9,7,4] => 01011011 => 11011010 => 00100101
[3,6,7,8,2,1,9,5,4] => 00011011 => 11011000 => 00100111
[3,2,5,4,7,6,9,8,1] => 10101011 => 11010101 => 00101010
[3,5,7,2,8,4,9,6,1] => 00101011 => 11010100 => 00101011
[3,5,6,7,8,2,9,4,1] => 00001011 => 11010000 => 00101111
[3,4,5,6,7,8,9,2,1] => 00000011 => 11000000 => 00111111
[2,4,6,7,1,8,3,9,5] => 00010101 => 10101000 => 01010111
[2,4,5,6,7,8,1,9,3] => 00000101 => 10100000 => 01011111
[8,7,10,9,6,5,4,3,2,1] => 101111111 => 111111101 => 000000010
[8,9,10,7,6,5,4,3,2,1] => 001111111 => 111111100 => 000000011
[7,6,5,10,9,8,4,3,2,1] => 110111111 => 111111011 => 000000100
[7,9,6,10,8,5,4,3,2,1] => 010111111 => 111111010 => 000000101
[7,8,9,10,6,5,4,3,2,1] => 000111111 => 111111000 => 000000111
[6,5,4,3,10,9,8,7,2,1] => 111011111 => 111110111 => 000001000
[6,9,5,4,10,8,7,3,2,1] => 011011111 => 111110110 => 000001001
[6,5,8,7,10,9,4,3,2,1] => 101011111 => 111110101 => 000001010
[6,8,9,5,10,7,4,3,2,1] => 001011111 => 111110100 => 000001011
[5,4,3,2,1,10,9,8,7,6] => 111101111 => 111101111 => 000010000
[5,9,4,3,2,10,8,7,6,1] => 011101111 => 111101110 => 000010001
[5,4,8,7,3,10,9,6,2,1] => 101101111 => 111101101 => 000010010
[5,8,9,4,3,10,7,6,2,1] => 001101111 => 111101100 => 000010011
[5,7,4,9,6,10,8,3,2,1] => 010101111 => 111101010 => 000010101
[5,6,7,8,9,10,4,3,2,1] => 000001111 => 111100000 => 000011111
[4,3,8,7,2,1,10,9,6,5] => 101110111 => 111011101 => 000100010
[4,8,9,3,2,1,10,7,6,5] => 001110111 => 111011100 => 000100011
[4,3,2,7,6,5,10,9,8,1] => 110110111 => 111011011 => 000100100
[4,7,3,9,6,2,10,8,5,1] => 010110111 => 111011010 => 000100101
[4,7,8,9,3,2,10,6,5,1] => 000110111 => 111011000 => 000100111
[4,3,6,5,8,7,10,9,2,1] => 101010111 => 111010101 => 000101010
[4,6,7,8,9,3,10,5,2,1] => 000010111 => 111010000 => 000101111
[4,5,6,7,8,9,10,3,2,1] => 000000111 => 111000000 => 000111111
[3,6,2,1,9,5,4,10,8,7] => 011011011 => 110110110 => 001001001
[3,2,6,5,8,7,1,10,9,4] => 101011011 => 110110101 => 001001010
[3,6,8,2,9,5,1,10,7,4] => 001011011 => 110110100 => 001001011
[3,6,7,8,9,2,1,10,5,4] => 000011011 => 110110000 => 001001111
[3,5,7,8,2,9,4,10,6,1] => 000101011 => 110101000 => 001010111
[3,5,6,7,8,9,2,10,4,1] => 000001011 => 110100000 => 001011111
[3,4,5,6,7,8,9,10,2,1] => 000000011 => 110000000 => 001111111
[2,4,6,1,8,3,9,5,10,7] => 001010101 => 101010100 => 010101011
[2,4,6,7,8,1,9,3,10,5] => 000010101 => 101010000 => 010101111
[2,4,5,6,7,8,9,1,10,3] => 000000101 => 101000000 => 010111111
[1,6,2,5,3,4,8,7] => 0101001 => 1001010 => 0110101
[1,3,8,2,4,6,5,7] => 0010010 => 0100100 => 1011011
[1,7,2,3,6,4,8,5] => 0100101 => 1010010 => 0101101
[1,6,8,2,5,3,7,4] => 0010101 => 1010100 => 0101011
[1,8,2,5,3,4,7,6] => 0101001 => 1001010 => 0110101
[1,8,2,3,6,4,7,5] => 0100101 => 1010010 => 0101101
[1,3,5,2,8,4,7,6] => 0010101 => 1010100 => 0101011
[1,2,7,3,5,4,6,8] => 0010100 => 0010100 => 1101011
[1,8,2,7,3,4,6,5] => 0101001 => 1001010 => 0110101
[1,5,8,2,3,7,4,6] => 0010010 => 0100100 => 1011011
[1,6,8,2,3,5,4,7] => 0010010 => 0100100 => 1011011
[5,3,6,1,2,4,8,7] => 1010001 => 1000101 => 0111010
[7,1,5,8,4,2,3,6] => 1001100 => 0011001 => 1100110
[8,1,5,7,4,2,3,6] => 1001100 => 0011001 => 1100110
[7,1,4,5,8,2,3,6] => 1000100 => 0010001 => 1101110
[7,4,1,6,2,8,3,5] => 1101010 => 0101011 => 1010100
[8,4,1,7,2,6,3,5] => 1101010 => 0101011 => 1010100
[8,1,4,7,5,2,3,6] => 1001100 => 0011001 => 1100110
[8,1,5,4,7,2,3,6] => 1010100 => 0010101 => 1101010
[2,1,7,5,8,3,4,6] => 1010100 => 0010101 => 1101010
[7,1,5,4,8,2,3,6] => 1010100 => 0010101 => 1101010
[7,1,4,8,5,2,3,6] => 1001100 => 0011001 => 1100110
[6,4,1,7,2,3,8,5] => 1101001 => 1001011 => 0110100
[7,8,3,1,2,4,6,5] => 0110001 => 1000110 => 0111001
[8,7,1,6,4,2,3,5] => 1101100 => 0011011 => 1100100
[8,6,1,7,4,2,3,5] => 1101100 => 0011011 => 1100100
[7,6,1,8,4,2,3,5] => 1101100 => 0011011 => 1100100
[7,3,8,1,2,4,6,5] => 1010001 => 1000101 => 0111010
[8,3,7,1,2,4,6,5] => 1010001 => 1000101 => 0111010
[8,3,6,1,2,4,7,5] => 1010001 => 1000101 => 0111010
[8,3,7,5,1,2,4,6] => 1011000 => 0001101 => 1110010
[7,3,6,1,2,4,8,5] => 1010001 => 1000101 => 0111010
[6,7,1,8,4,2,3,5] => 0101100 => 0011010 => 1100101
[6,8,1,7,4,2,3,5] => 0101100 => 0011010 => 1100101
[7,1,8,5,4,2,3,6] => 1011100 => 0011101 => 1100010
[7,1,8,4,5,2,3,6] => 1010100 => 0010101 => 1101010
[2,1,7,8,5,3,4,6] => 1001100 => 0011001 => 1100110
[7,6,3,1,2,4,8,5] => 1110001 => 1000111 => 0111000
[6,1,2,3,8,7,5,4] => 1000111 => 1110001 => 0001110
[6,8,1,4,2,3,7,5] => 0101001 => 1001010 => 0110101
[6,8,3,1,2,7,4,5] => 0110010 => 0100110 => 1011001
[6,7,3,1,2,8,4,5] => 0110010 => 0100110 => 1011001
[6,7,1,4,2,3,8,5] => 0101001 => 1001010 => 0110101
[4,3,6,8,5,7,1,2] => 1001010 => 0101001 => 1010110
[6,1,2,5,4,8,3,7] => 1001010 => 0101001 => 1010110
[3,2,8,5,4,1,7,6] => 1011101 => 1011101 => 0100010
[7,8,2,1,4,6,3,5] => 0110010 => 0100110 => 1011001
[7,2,1,5,8,3,4,6] => 1100100 => 0010011 => 1101100
[2,4,8,5,1,3,6,7] => 0011000 => 0001100 => 1110011
[3,5,6,1,8,4,2,7] => 0010110 => 0110100 => 1001011
[1,3,6,8,7,4,2,5] => 0001110 => 0111000 => 1000111
[1,2,8,5,7,3,4,6] => 0010100 => 0010100 => 1101011
[2,6,1,5,8,3,4,7] => 0100100 => 0010010 => 1101101
[5,7,1,6,8,4,3,2] => 0100111 => 1110010 => 0001101
[4,8,1,2,5,7,3,6] => 0100010 => 0100010 => 1011101
[8,4,6,2,5,7,3,1] => 1010011 => 1100101 => 0011010
[8,3,6,4,7,2,5,1] => 1010101 => 1010101 => 0101010
[3,8,1,4,7,2,5,6] => 0100100 => 0010010 => 1101101
[1,7,8,4,6,2,5,3] => 0010101 => 1010100 => 0101011
[3,7,4,8,5,1,6,2] => 0101101 => 1011010 => 0100101
[3,7,1,6,5,4,8,2] => 0101101 => 1011010 => 0100101
[2,7,3,1,5,8,4,6] => 0110010 => 0100110 => 1011001
[2,7,4,6,8,1,3,5] => 0100100 => 0010010 => 1101101
[2,7,5,8,6,4,1,3] => 0101110 => 0111010 => 1000101
[8,2,6,7,5,4,3,1] => 1001111 => 1111001 => 0000110
[3,8,7,1,6,4,5,2] => 0110101 => 1010110 => 0101001
[3,6,8,2,7,4,1,5] => 0010110 => 0110100 => 1001011
[1,5,2,8,7,4,6,3] => 0101101 => 1011010 => 0100101
[3,4,2,7,8,1,6,5] => 0100101 => 1010010 => 0101101
[4,1,3,7,5,6,8,2] => 1001001 => 1001001 => 0110110
[6,3,8,1,7,4,2,5] => 1010110 => 0110101 => 1001010
[6,5,8,7,1,4,2,3] => 1011010 => 0101101 => 1010010
[4,1,7,3,8,5,2,6] => 1010110 => 0110101 => 1001010
[3,6,1,4,5,8,2,7] => 0100010 => 0100010 => 1011101
[1,6,7,4,5,3,8,2] => 0010101 => 1010100 => 0101011
[6,1,7,3,5,4,8,2] => 1010101 => 1010101 => 0101010
[6,3,1,2,5,8,4,7] => 1100010 => 0100011 => 1011100
[1,4,7,2,8,5,3,6] => 0010110 => 0110100 => 1001011
[5,6,8,7,2,4,1,3] => 0011010 => 0101100 => 1010011
[6,8,5,7,1,2,4,3] => 0101001 => 1001010 => 0110101
[2,8,4,1,7,5,6,3] => 0110101 => 1010110 => 0101001
[8,2,4,3,7,5,6,1] => 1010101 => 1010101 => 0101010
[6,8,2,1,5,7,3,4] => 0110010 => 0100110 => 1011001
[7,2,8,4,1,6,3,5] => 1011010 => 0101101 => 1010010
[1,2,4,8,6,5,3,7] => 0001110 => 0111000 => 1000111
[7,1,5,6,8,4,3,2] => 1000111 => 1110001 => 0001110
[2,7,8,1,4,6,3,5] => 0010010 => 0100100 => 1011011
[4,8,2,5,7,1,6,3] => 0100101 => 1010010 => 0101101
[4,1,6,8,5,3,7,2] => 1001101 => 1011001 => 0100110
[5,2,6,4,8,3,1,7] => 1010110 => 0110101 => 1001010
[6,7,1,3,4,5,8,2] => 0100001 => 1000010 => 0111101
[1,7,3,2,4,8,5,6] => 0110010 => 0100110 => 1011001
[1,3,6,5,2,8,4,7] => 0011010 => 0101100 => 1010011
[7,1,6,5,3,4,8,2] => 1011001 => 1001101 => 0110010
[6,3,4,2,8,7,5,1] => 1010111 => 1110101 => 0001010
[4,3,8,7,5,2,6,1] => 1011101 => 1011101 => 0100010
[6,8,7,4,2,3,5,1] => 0111001 => 1001110 => 0110001
[3,6,4,5,2,8,7,1] => 0101011 => 1101010 => 0010101
[8,6,1,3,5,4,2,7] => 1100110 => 0110011 => 1001100
[5,3,8,6,1,2,4,7] => 1011000 => 0001101 => 1110010
[2,5,6,3,4,8,7,1] => 0010011 => 1100100 => 0011011
[2,5,3,6,8,7,4,1] => 0100111 => 1110010 => 0001101
[4,8,7,3,5,2,6,1] => 0110101 => 1010110 => 0101001
[3,8,7,2,6,4,5,1] => 0110101 => 1010110 => 0101001
[6,3,5,4,8,7,2,1] => 1010111 => 1110101 => 0001010
[4,3,8,6,1,5,2,7] => 1011010 => 0101101 => 1010010
[4,7,6,2,5,3,8,1] => 0110101 => 1010110 => 0101001
[7,5,2,6,8,1,4,3] => 1100101 => 1010011 => 0101100
[8,5,2,7,1,4,3,6] => 1101010 => 0101011 => 1010100
[1,8,5,3,6,2,4,7] => 0110100 => 0010110 => 1101001
[5,1,7,2,4,3,8,6] => 1010101 => 1010101 => 0101010
[1,5,3,4,8,6,2,7] => 0100110 => 0110010 => 1001101
[5,4,1,3,8,6,2,7] => 1100110 => 0110011 => 1001100
[5,1,8,6,3,4,2,7] => 1011010 => 0101101 => 1010010
[4,5,2,8,3,7,6,1] => 0101011 => 1101010 => 0010101
[8,2,3,7,6,4,5,1] => 1001101 => 1011001 => 0100110
[5,8,2,4,7,6,3,1] => 0100111 => 1110010 => 0001101
[6,8,2,5,3,4,7,1] => 0101001 => 1001010 => 0110101
[7,2,5,6,4,8,1,3] => 1001010 => 0101001 => 1010110
[1,6,7,4,8,2,3,5] => 0010100 => 0010100 => 1101011
[7,1,3,5,8,2,6,4] => 1000101 => 1010001 => 0101110
[8,2,1,3,5,6,7,4] => 1100001 => 1000011 => 0111100
[6,3,1,4,7,5,8,2] => 1100101 => 1010011 => 0101100
[4,1,3,8,2,6,7,5] => 1001001 => 1001001 => 0110110
[2,8,3,6,7,5,4,1] => 0100111 => 1110010 => 0001101
[3,1,7,2,8,5,4,6] => 1010110 => 0110101 => 1001010
[3,6,1,4,7,2,8,5] => 0100101 => 1010010 => 0101101
[1,5,8,4,7,2,3,6] => 0010100 => 0010100 => 1101011
[7,1,3,6,2,8,4,5] => 1001010 => 0101001 => 1010110
[6,2,7,4,5,8,1,3] => 1010010 => 0100101 => 1011010
[2,1,8,4,5,7,3,6] => 1010010 => 0100101 => 1011010
[1,8,5,7,3,2,4,6] => 0101100 => 0011010 => 1100101
[2,1,8,5,4,3,6,7] => 1011100 => 0011101 => 1100010
[2,7,4,1,5,3,8,6] => 0110101 => 1010110 => 0101001
[7,4,8,6,2,3,1,5] => 1011010 => 0101101 => 1010010
[2,7,1,4,6,3,8,5] => 0100101 => 1010010 => 0101101
[4,7,5,6,8,1,3,2] => 0100101 => 1010010 => 0101101
[7,1,3,2,8,5,4,6] => 1010110 => 0110101 => 1001010
[2,8,5,4,1,3,6,7] => 0111000 => 0001110 => 1110001
[5,1,7,4,2,3,8,6] => 1011001 => 1001101 => 0110010
[3,8,6,5,1,4,2,7] => 0111010 => 0101110 => 1010001
[1,3,4,8,6,5,2,7] => 0001110 => 0111000 => 1000111
[4,1,8,6,5,3,2,7] => 1011110 => 0111101 => 1000010
[4,8,5,2,7,3,6,1] => 0110101 => 1010110 => 0101001
[7,2,8,5,3,6,4,1] => 1011011 => 1101101 => 0010010
[5,2,8,4,3,7,6,1] => 1011011 => 1101101 => 0010010
[8,4,7,5,2,3,6,1] => 1011001 => 1001101 => 0110010
[7,5,2,8,4,6,1,3] => 1101010 => 0101011 => 1010100
[5,7,4,3,6,2,8,1] => 0110101 => 1010110 => 0101001
[6,7,5,1,2,8,3,4] => 0110010 => 0100110 => 1011001
[5,2,6,8,3,4,7,1] => 1001001 => 1001001 => 0110110
[7,6,2,4,5,8,3,1] => 1100011 => 1100011 => 0011100
[3,6,8,4,7,2,5,1] => 0010101 => 1010100 => 0101011
[7,6,3,8,4,2,5,1] => 1101101 => 1011011 => 0100100
[2,6,3,8,4,7,5,1] => 0101011 => 1101010 => 0010101
[7,2,3,6,5,8,4,1] => 1001011 => 1101001 => 0010110
[6,2,7,5,8,3,1,4] => 1010110 => 0110101 => 1001010
[2,8,3,6,4,5,7,1] => 0101001 => 1001010 => 0110101
[2,1,5,6,8,3,7,4] => 1000101 => 1010001 => 0101110
[5,8,1,2,6,4,7,3] => 0100101 => 1010010 => 0101101
[1,6,8,3,2,7,4,5] => 0011010 => 0101100 => 1010011
[6,5,7,2,8,4,1,3] => 1010110 => 0110101 => 1001010
[7,5,1,2,8,4,6,3] => 1100101 => 1010011 => 0101100
[5,4,8,3,6,2,7,1] => 1010101 => 1010101 => 0101010
[5,8,2,7,4,3,6,1] => 0101101 => 1011010 => 0100101
[6,4,5,8,2,7,3,1] => 1001011 => 1101001 => 0010110
[5,7,3,6,4,8,2,1] => 0101011 => 1101010 => 0010101
[1,5,6,4,8,2,7,3] => 0010101 => 1010100 => 0101011
[3,1,5,6,4,8,7,2] => 1001011 => 1101001 => 0010110
[1,3,6,2,5,7,8,4] => 0010001 => 1000100 => 0111011
[1,4,6,3,5,7,8,2] => 0010001 => 1000100 => 0111011
[3,5,1,6,4,7,8,2] => 0101001 => 1001010 => 0110101
[3,6,1,4,2,7,8,5] => 0101001 => 1001010 => 0110101
[2,4,6,3,1,7,8,5] => 0011001 => 1001100 => 0110011
[1,3,6,5,2,7,8,4] => 0011001 => 1001100 => 0110011
[1,2,6,4,3,8,5,7] => 0011010 => 0101100 => 1010011
[1,2,6,3,5,8,7,4] => 0010011 => 1100100 => 0011011
[2,3,5,1,8,4,7,6] => 0010101 => 1010100 => 0101011
[2,3,6,1,8,5,4,7] => 0010110 => 0110100 => 1001011
[1,2,7,4,6,8,3,5] => 0010010 => 0100100 => 1011011
[2,3,7,5,1,8,4,6] => 0011010 => 0101100 => 1010011
[4,7,2,5,3,8,6,1] => 0101011 => 1101010 => 0010101
[3,1,7,5,4,8,6,2] => 1011011 => 1101101 => 0010010
[1,2,7,6,4,8,5,3] => 0011011 => 1101100 => 0010011
[1,2,7,3,6,8,5,4] => 0010011 => 1100100 => 0011011
[2,3,6,1,8,5,7,4] => 0010101 => 1010100 => 0101011
[3,1,5,4,8,7,6,2] => 1010111 => 1110101 => 0001010
[1,2,5,8,4,7,3,6] => 0001010 => 0101000 => 1010111
[1,2,6,8,5,4,7,3] => 0001101 => 1011000 => 0100111
[1,3,6,8,5,2,7,4] => 0001101 => 1011000 => 0100111
[3,5,7,4,8,2,1,6] => 0010110 => 0110100 => 1001011
[2,4,7,6,8,3,1,5] => 0010110 => 0110100 => 1001011
[1,4,6,8,3,5,2,7] => 0001010 => 0101000 => 1010111
[1,3,6,8,5,2,4,7] => 0001100 => 0011000 => 1100111
[1,2,6,8,5,4,3,7] => 0001110 => 0111000 => 1000111
[1,2,5,8,4,3,7,6] => 0001101 => 1011000 => 0100111
[1,3,5,8,2,4,7,6] => 0001001 => 1001000 => 0110111
[1,3,6,8,2,5,4,7] => 0001010 => 0101000 => 1010111
[1,4,6,8,3,2,5,7] => 0001100 => 0011000 => 1100111
[3,5,7,4,8,1,2,6] => 0010100 => 0010100 => 1101011
[4,6,1,7,5,8,2,3] => 0101010 => 0101010 => 1010101
[2,3,6,7,5,8,1,4] => 0001010 => 0101000 => 1010111
[1,3,7,5,6,8,2,4] => 0010010 => 0100100 => 1011011
[2,3,6,5,8,1,7,4] => 0010101 => 1010100 => 0101011
[3,4,6,2,8,1,7,5] => 0010101 => 1010100 => 0101011
[3,5,4,6,8,2,1,7] => 0100110 => 0110010 => 1001101
[3,5,4,6,8,1,2,7] => 0100100 => 0010010 => 1101101
[1,2,4,7,5,8,3,6] => 0001010 => 0101000 => 1010111
[1,2,6,7,4,8,3,5] => 0001010 => 0101000 => 1010111
[3,6,4,7,1,8,5,2] => 0101011 => 1101010 => 0010101
[1,2,6,7,3,8,5,4] => 0001011 => 1101000 => 0010111
[1,2,5,7,3,8,6,4] => 0001011 => 1101000 => 0010111
[3,1,5,7,6,8,4,2] => 1001011 => 1101001 => 0010110
[3,5,4,6,8,2,7,1] => 0100101 => 1010010 => 0101101
[4,2,6,1,8,7,5,3] => 1010111 => 1110101 => 0001010
[3,1,6,5,8,7,4,2] => 1010111 => 1110101 => 0001010
[2,3,6,5,8,7,1,4] => 0010110 => 0110100 => 1001011
[1,2,7,4,6,8,5,3] => 0010011 => 1100100 => 0011011
[1,2,7,5,6,8,4,3] => 0010011 => 1100100 => 0011011
[3,1,6,7,5,8,4,2] => 1001011 => 1101001 => 0010110
[4,6,2,7,5,8,3,1] => 0101011 => 1101010 => 0010101
[3,5,7,4,8,2,6,1] => 0010101 => 1010100 => 0101011
[2,4,7,6,8,3,5,1] => 0010101 => 1010100 => 0101011
[1,4,6,8,3,5,7,2] => 0001001 => 1001000 => 0110111
[1,3,6,8,2,5,7,4] => 0001001 => 1001000 => 0110111
[1,3,5,8,2,7,4,6] => 0001010 => 0101000 => 1010111
[1,2,5,8,4,7,6,3] => 0001011 => 1101000 => 0010111
[1,2,4,8,7,3,6,5] => 0001101 => 1011000 => 0100111
[1,2,5,8,7,4,3,6] => 0001110 => 0111000 => 1000111
[1,3,5,8,7,2,4,6] => 0001100 => 0011000 => 1100111
[2,3,7,6,8,5,1,4] => 0010110 => 0110100 => 1001011
[5,7,1,2,8,6,4,3] => 0100111 => 1110010 => 0001101
[3,1,7,6,8,5,4,2] => 1010111 => 1110101 => 0001010
[1,2,6,8,5,7,4,3] => 0001011 => 1101000 => 0010111
[1,2,5,8,7,4,6,3] => 0001101 => 1011000 => 0100111
[1,2,4,8,7,6,3,5] => 0001110 => 0111000 => 1000111
[6,4,5,7,2,8,1,3] => 1001010 => 0101001 => 1010110
[5,3,4,7,2,8,1,6] => 1001010 => 0101001 => 1010110
[3,2,7,4,6,8,1,5] => 1010010 => 0100101 => 1011010
[5,3,6,2,7,1,4,8] => 1010100 => 0010101 => 1101010
[2,6,3,4,7,1,5,8] => 0100100 => 0010010 => 1101101
[2,7,3,4,5,8,1,6] => 0100010 => 0100010 => 1011101
[3,7,4,5,6,8,1,2] => 0100010 => 0100010 => 1011101
[2,5,7,3,6,8,1,4] => 0010010 => 0100100 => 1011011
[4,7,6,2,3,8,1,5] => 0110010 => 0100110 => 1011001
[7,3,5,2,4,8,1,6] => 1010010 => 0100101 => 1011010
[7,6,2,4,5,8,1,3] => 1100010 => 0100011 => 1011100
[6,5,2,3,4,8,1,7] => 1100010 => 0100011 => 1011100
[5,3,1,2,8,4,7,6] => 1100101 => 1010011 => 0101100
[6,5,2,3,7,1,4,8] => 1100100 => 0010011 => 1101100
[5,2,1,7,3,4,6,8] => 1101000 => 0001011 => 1110100
[5,2,1,8,3,4,6,7] => 1101000 => 0001011 => 1110100
[6,3,2,8,4,5,7,1] => 1101001 => 1001011 => 0110100
[7,3,1,2,8,4,6,5] => 1100101 => 1010011 => 0101100
[6,4,1,3,8,5,7,2] => 1100101 => 1010011 => 0101100
[6,2,3,1,8,4,7,5] => 1010101 => 1010101 => 0101010
[8,3,5,2,7,1,4,6] => 1010100 => 0010101 => 1101010
[8,6,2,4,7,1,5,3] => 1100101 => 1010011 => 0101100
[8,5,2,3,6,1,4,7] => 1100100 => 0010011 => 1101100
[8,2,1,7,3,4,5,6] => 1101000 => 0001011 => 1110100
[8,6,3,7,2,4,5,1] => 1101001 => 1001011 => 0110100
[7,1,6,2,3,4,5,8] => 1010000 => 0000101 => 1111010
[8,2,7,3,4,5,6,1] => 1010001 => 1000101 => 0111010
[8,1,6,2,3,4,5,7] => 1010000 => 0000101 => 1111010
[8,1,7,3,4,5,6,2] => 1010001 => 1000101 => 0111010
[8,6,1,7,2,4,5,3] => 1101001 => 1001011 => 0110100
[8,1,5,7,2,3,6,4] => 1001001 => 1001001 => 0110110
[1,7,5,8,2,3,6,4] => 0101001 => 1001010 => 0110101
[7,2,1,8,3,4,5,6] => 1101000 => 0001011 => 1110100
[7,3,8,2,4,5,6,1] => 1010001 => 1000101 => 0111010
[7,2,8,3,4,5,6,1] => 1010001 => 1000101 => 0111010
[1,7,8,3,4,5,6,2] => 0010001 => 1000100 => 0111011
[1,4,5,8,3,6,7,2] => 0001001 => 1001000 => 0110111
[2,5,7,1,8,3,6,4] => 0010101 => 1010100 => 0101011
[6,2,7,1,8,4,5,3] => 1010101 => 1010101 => 0101010
[4,7,1,3,8,5,6,2] => 0100101 => 1010010 => 0101101
[1,6,2,8,4,5,7,3] => 0101001 => 1001010 => 0110101
[4,1,3,6,8,2,7,5] => 1000101 => 1010001 => 0101110
[5,3,4,6,8,2,7,1] => 1000101 => 1010001 => 0101110
[4,6,3,8,7,1,2,5] => 0101100 => 0011010 => 1100101
[6,4,5,8,7,1,2,3] => 1001100 => 0011001 => 1100110
[5,3,4,8,7,1,2,6] => 1001100 => 0011001 => 1100110
[3,2,8,7,1,4,6,5] => 1011001 => 1001101 => 0110010
[3,1,8,7,2,4,6,5] => 1011001 => 1001101 => 0110010
[5,3,7,6,1,2,4,8] => 1011000 => 0001101 => 1110010
[1,8,3,7,2,4,5,6] => 0101000 => 0001010 => 1110101
[3,8,1,7,2,4,5,6] => 0101000 => 0001010 => 1110101
[6,8,2,3,5,1,4,7] => 0100100 => 0010010 => 1101101
[4,7,8,2,6,1,3,5] => 0010100 => 0010100 => 1101011
[6,2,8,7,1,4,5,3] => 1011001 => 1001101 => 0110010
[3,8,7,1,4,5,6,2] => 0110001 => 1000110 => 0111001
[2,8,6,1,3,4,5,7] => 0110000 => 0000110 => 1111001
[2,7,6,1,3,4,5,8] => 0110000 => 0000110 => 1111001
[1,7,6,2,3,4,5,8] => 0110000 => 0000110 => 1111001
[1,8,6,2,3,4,5,7] => 0110000 => 0000110 => 1111001
[2,8,7,3,4,5,6,1] => 0110001 => 1000110 => 0111001
[3,8,7,2,4,5,6,1] => 0110001 => 1000110 => 0111001
[7,8,3,6,2,4,5,1] => 0101001 => 1001010 => 0110101
[1,5,8,7,2,3,6,4] => 0011001 => 1001100 => 0110011
[8,7,6,1,3,4,5,2] => 1110001 => 1000111 => 0111000
[3,6,2,4,7,1,8,5] => 0100101 => 1010010 => 0101101
[3,4,7,2,5,1,8,6] => 0010101 => 1010100 => 0101011
[2,1,6,4,8,5,3,7] => 1010110 => 0110101 => 1001010
[4,1,8,5,3,2,7,6] => 1011101 => 1011101 => 0100010
[3,6,2,5,7,1,4,8] => 0100100 => 0010010 => 1101101
[1,2,8,3,7,5,4,6] => 0010110 => 0110100 => 1001011
[6,1,3,2,8,5,4,7] => 1010110 => 0110101 => 1001010
[5,6,1,2,8,4,3,7] => 0100110 => 0110010 => 1001101
[1,6,3,8,7,4,2,5] => 0101110 => 0111010 => 1000101
[4,3,8,1,2,6,7,5] => 1010001 => 1000101 => 0111010
[7,8,10,9,5,6,3,4,1,2] => 001101010 => 010101100 => 101010011
[9,10,5,6,8,7,3,4,1,2] => 010011010 => 010110010 => 101001101
[5,8,10,6,9,7,3,4,1,2] => 001011010 => 010110100 => 101001011
[5,6,7,10,9,8,3,4,1,2] => 000111010 => 010111000 => 101000111
[9,10,7,8,3,4,6,5,1,2] => 010100110 => 011001010 => 100110101
[7,8,10,9,3,4,6,5,1,2] => 001100110 => 011001100 => 100110011
[9,10,3,6,8,4,7,5,1,2] => 010010110 => 011010010 => 100101101
[3,8,10,6,9,4,7,5,1,2] => 001010110 => 011010100 => 100101011
[3,6,7,10,9,4,8,5,1,2] => 000110110 => 011011000 => 100100111
[9,10,3,4,5,8,7,6,1,2] => 010001110 => 011100010 => 100011101
[3,8,10,4,5,9,7,6,1,2] => 001001110 => 011100100 => 100011011
[3,4,7,10,5,9,8,6,1,2] => 000101110 => 011101000 => 100010111
[3,4,5,6,10,9,8,7,1,2] => 000011110 => 011110000 => 100001111
[9,10,7,8,5,6,1,2,4,3] => 010101001 => 100101010 => 011010101
[7,8,10,9,5,6,1,2,4,3] => 001101001 => 100101100 => 011010011
[9,10,5,6,8,7,1,2,4,3] => 010011001 => 100110010 => 011001101
[5,8,10,6,9,7,1,2,4,3] => 001011001 => 100110100 => 011001011
[5,6,7,10,9,8,1,2,4,3] => 000111001 => 100111000 => 011000111
[9,10,7,8,1,4,6,2,5,3] => 010100101 => 101001010 => 010110101
[7,8,10,9,1,4,6,2,5,3] => 001100101 => 101001100 => 010110011
[9,10,1,6,8,4,7,2,5,3] => 010010101 => 101010010 => 010101101
[1,8,10,6,9,4,7,2,5,3] => 001010101 => 101010100 => 010101011
[1,6,7,10,9,4,8,2,5,3] => 000110101 => 101011000 => 010100111
[9,10,1,4,5,8,7,2,6,3] => 010001101 => 101100010 => 010011101
[1,8,10,4,5,9,7,2,6,3] => 001001101 => 101100100 => 010011011
[1,4,7,10,5,9,8,2,6,3] => 000101101 => 101101000 => 010010111
[1,4,5,6,10,9,8,2,7,3] => 000011101 => 101110000 => 010001111
[9,10,7,8,1,2,3,6,5,4] => 010100011 => 110001010 => 001110101
[7,8,10,9,1,2,3,6,5,4] => 001100011 => 110001100 => 001110011
[9,10,1,6,8,2,3,7,5,4] => 010010011 => 110010010 => 001101101
[1,8,10,6,9,2,3,7,5,4] => 001010011 => 110010100 => 001101011
[1,6,7,10,9,2,3,8,5,4] => 000110011 => 110011000 => 001100111
[9,10,1,2,5,8,3,7,6,4] => 010001011 => 110100010 => 001011101
[1,8,10,2,5,9,3,7,6,4] => 001001011 => 110100100 => 001011011
[1,2,7,10,5,9,3,8,6,4] => 000101011 => 110101000 => 001010111
[1,2,5,6,10,9,3,8,7,4] => 000011011 => 110110000 => 001001111
[9,10,1,2,3,4,8,7,6,5] => 010000111 => 111000010 => 000111101
[1,8,10,2,3,4,9,7,6,5] => 001000111 => 111000100 => 000111011
[1,2,7,10,3,4,9,8,6,5] => 000100111 => 111001000 => 000110111
[1,2,3,6,10,4,9,8,7,5] => 000010111 => 111010000 => 000101111
[1,2,3,4,5,10,9,8,7,6] => 000001111 => 111100000 => 000011111
[11,12,9,10,7,8,5,6,3,4,1,2] => 01010101010 => 01010101010 => 10101010101
[9,10,12,11,7,8,5,6,3,4,1,2] => 00110101010 => 01010101100 => 10101010011
[7,10,12,8,11,9,5,6,3,4,1,2] => 00101101010 => 01010110100 => 10101001011
[11,12,5,8,10,6,9,7,3,4,1,2] => 01001011010 => 01011010010 => 10100101101
[5,10,12,8,11,6,9,7,3,4,1,2] => 00101011010 => 01011010100 => 10100101011
[5,8,9,12,11,6,10,7,3,4,1,2] => 00011011010 => 01011011000 => 10100100111
[5,6,9,12,7,11,10,8,3,4,1,2] => 00010111010 => 01011101000 => 10100010111
[3,10,12,8,11,6,9,4,7,5,1,2] => 00101010110 => 01101010100 => 10010101011
[3,8,9,12,11,6,10,4,7,5,1,2] => 00011010110 => 01101011000 => 10010100111
[3,6,9,12,7,11,10,4,8,5,1,2] => 00010110110 => 01101101000 => 10010010111
[3,4,7,8,12,11,5,10,9,6,1,2] => 00001101110 => 01110110000 => 10001001111
[3,4,5,6,7,12,11,10,9,8,1,2] => 00000111110 => 01111100000 => 10000011111
[5,8,9,12,11,6,10,7,1,2,4,3] => 00011011001 => 10011011000 => 01100100111
[9,10,12,11,1,6,8,4,7,2,5,3] => 00110010101 => 10101001100 => 01010110011
[11,12,1,8,10,6,9,4,7,2,5,3] => 01001010101 => 10101010010 => 01010101101
[1,10,12,8,11,6,9,4,7,2,5,3] => 00101010101 => 10101010100 => 01010101011
[1,8,9,12,11,6,10,4,7,2,5,3] => 00011010101 => 10101011000 => 01010100111
[1,10,12,6,7,11,9,4,8,2,5,3] => 00100110101 => 10101100100 => 01010011011
[1,6,9,12,7,11,10,4,8,2,5,3] => 00010110101 => 10101101000 => 01010010111
[1,6,7,8,12,11,10,4,9,2,5,3] => 00001110101 => 10101110000 => 01010001111
[1,10,12,8,11,4,5,9,7,2,6,3] => 00101001101 => 10110010100 => 01001101011
[1,8,9,12,11,4,5,10,7,2,6,3] => 00011001101 => 10110011000 => 01001100111
[1,10,12,4,7,11,5,9,8,2,6,3] => 00100101101 => 10110100100 => 01001011011
[1,4,9,12,7,11,5,10,8,2,6,3] => 00010101101 => 10110101000 => 01001010111
[1,4,7,8,12,11,5,10,9,2,6,3] => 00001101101 => 10110110000 => 01001001111
[1,10,12,4,5,6,11,9,8,2,7,3] => 00100011101 => 10111000100 => 01000111011
[1,4,9,12,5,6,11,10,8,2,7,3] => 00010011101 => 10111001000 => 01000110111
[1,4,5,8,12,6,11,10,9,2,7,3] => 00001011101 => 10111010000 => 01000101111
[1,4,5,6,7,12,11,10,9,2,8,3] => 00000111101 => 10111100000 => 01000011111
[1,10,12,8,11,6,9,2,3,7,5,4] => 00101010011 => 11001010100 => 00110101011
[1,8,9,12,11,6,10,2,3,7,5,4] => 00011010011 => 11001011000 => 00110100111
[1,10,12,6,7,11,9,2,3,8,5,4] => 00100110011 => 11001100100 => 00110011011
[1,6,9,12,7,11,10,2,3,8,5,4] => 00010110011 => 11001101000 => 00110010111
[1,6,7,8,12,11,10,2,3,9,5,4] => 00001110011 => 11001110000 => 00110001111
[1,10,12,8,11,2,5,9,3,7,6,4] => 00101001011 => 11010010100 => 00101101011
[1,8,9,12,11,2,5,10,3,7,6,4] => 00011001011 => 11010011000 => 00101100111
[1,10,12,2,7,11,5,9,3,8,6,4] => 00100101011 => 11010100100 => 00101011011
[1,2,9,12,7,11,5,10,3,8,6,4] => 00010101011 => 11010101000 => 00101010111
[1,2,7,8,12,11,5,10,3,9,6,4] => 00001101011 => 11010110000 => 00101001111
[1,10,12,2,5,6,11,9,3,8,7,4] => 00100011011 => 11011000100 => 00100111011
[1,2,9,12,5,6,11,10,3,8,7,4] => 00010011011 => 11011001000 => 00100110111
[1,2,5,8,12,6,11,10,3,9,7,4] => 00001011011 => 11011010000 => 00100101111
[1,2,5,6,7,12,11,10,3,9,8,4] => 00000111011 => 11011100000 => 00100011111
[1,10,12,8,11,2,3,4,9,7,6,5] => 00101000111 => 11100010100 => 00011101011
[1,8,9,12,11,2,3,4,10,7,6,5] => 00011000111 => 11100011000 => 00011100111
[1,10,12,2,7,11,3,4,9,8,6,5] => 00100100111 => 11100100100 => 00011011011
[1,2,9,12,7,11,3,4,10,8,6,5] => 00010100111 => 11100101000 => 00011010111
[1,2,7,8,12,11,3,4,10,9,6,5] => 00001100111 => 11100110000 => 00011001111
[1,10,12,2,3,6,11,4,9,8,7,5] => 00100010111 => 11101000100 => 00010111011
[1,2,9,12,3,6,11,4,10,8,7,5] => 00010010111 => 11101001000 => 00010110111
[1,2,3,8,12,6,11,4,10,9,7,5] => 00001010111 => 11101010000 => 00010101111
[1,2,3,6,7,12,11,4,10,9,8,5] => 00000110111 => 11101100000 => 00010011111
[1,10,12,2,3,4,5,11,9,8,7,6] => 00100001111 => 11110000100 => 00001111011
[1,2,9,12,3,4,5,11,10,8,7,6] => 00010001111 => 11110001000 => 00001110111
[1,2,3,8,12,4,5,11,10,9,7,6] => 00001001111 => 11110010000 => 00001101111
[1,2,3,4,7,12,5,11,10,9,8,6] => 00000101111 => 11110100000 => 00001011111
[1,2,3,4,5,6,12,11,10,9,8,7] => 00000011111 => 11111000000 => 00000111111
[3,1,2,4,5,6,7,8,9] => 10000000 => 00000001 => 11111110
[2,4,1,3,5,6,7,8,9] => 01000000 => 00000010 => 11111101
[2,3,5,1,4,6,7,8,9] => 00100000 => 00000100 => 11111011
[2,3,4,6,1,5,7,8,9] => 00010000 => 00001000 => 11110111
[2,3,4,5,7,1,6,8,9] => 00001000 => 00010000 => 11101111
[2,3,4,5,6,8,1,7,9] => 00000100 => 00100000 => 11011111
[3,6,8,7,1,2,5,4] => 0011001 => 1001100 => 0110011
[6,2,8,5,4,7,1,3] => 1011010 => 0101101 => 1010010
[6,5,7,2,4,8,1,3] => 1010010 => 0100101 => 1011010
[3,4,1,6,5,8,7,2] => 0101011 => 1101010 => 0010101
[3,5,1,2,4,8,7,6] => 0100011 => 1100010 => 0011101
[3,7,5,2,1,4,6,8] => 0111000 => 0001110 => 1110001
[3,8,5,2,7,4,1,6] => 0110110 => 0110110 => 1001001
[5,2,8,4,7,3,1,6] => 1010110 => 0110101 => 1001010
[5,2,7,4,1,3,6,8] => 1011000 => 0001101 => 1110010
[4,3,5,1,2,8,7,6] => 1010011 => 1100101 => 0011010
[3,1,4,6,2,8,7,5] => 1001011 => 1101001 => 0010110
[1,4,6,5,2,8,7,3] => 0011011 => 1101100 => 0010011
[3,4,5,6,1,8,7,2] => 0001011 => 1101000 => 0010111
[3,4,5,8,7,2,1,6] => 0001110 => 0111000 => 1000111
[1,4,7,2,6,3,5,8] => 0010100 => 0010100 => 1101011
[8,4,7,5,2,1,6,3] => 1011101 => 1011101 => 0100010
[8,1,4,7,2,3,6,5] => 1001001 => 1001001 => 0110110
[1,8,5,7,3,4,6,2] => 0101001 => 1001010 => 0110101
[6,3,5,1,7,4,2,8] => 1010110 => 0110101 => 1001010
[6,1,4,8,7,3,2,5] => 1001110 => 0111001 => 1000110
[6,4,8,5,7,1,2,3] => 1010100 => 0010101 => 1101010
[5,4,8,1,6,3,2,7] => 1010110 => 0110101 => 1001010
[1,4,8,6,3,7,2,5] => 0011010 => 0101100 => 1010011
[5,4,7,6,3,8,1,2] => 1011010 => 0101101 => 1010010
[4,6,3,7,5,8,1,2] => 0101010 => 0101010 => 1010101
[4,1,3,5,8,6,2,7] => 1000110 => 0110001 => 1001110
[5,7,4,3,8,1,2,6] => 0110100 => 0010110 => 1101001
[1,4,8,3,7,6,5,2] => 0010111 => 1110100 => 0001011
[4,3,8,2,1,6,5,7] => 1011010 => 0101101 => 1010010
[3,8,4,2,7,1,5,6] => 0110100 => 0010110 => 1101001
[3,1,2,5,7,6,4,8] => 1000110 => 0110001 => 1001110
[1,8,2,7,6,5,4,3] => 0101111 => 1111010 => 0000101
[3,8,1,6,7,5,4,2] => 0100111 => 1110010 => 0001101
[3,7,2,6,8,5,1,4] => 0100110 => 0110010 => 1001101
[7,2,3,8,5,6,1,4] => 1001010 => 0101001 => 1010110
[8,2,1,7,5,6,4,3] => 1101011 => 1101011 => 0010100
[8,1,3,6,5,7,4,2] => 1001011 => 1101001 => 0010110
[8,2,4,3,6,1,5,7] => 1010100 => 0010101 => 1101010
[1,7,8,5,4,3,6,2] => 0011101 => 1011100 => 0100011
[1,8,4,5,3,2,6,7] => 0101100 => 0011010 => 1100101
[7,8,5,4,3,1,6,2] => 0111101 => 1011110 => 0100001
[7,1,6,3,4,2,5,8] => 1010100 => 0010101 => 1101010
[6,8,7,1,4,2,5,3] => 0110101 => 1010110 => 0101001
[3,6,1,4,2,7,5,8] => 0101010 => 0101010 => 1010101
[3,4,1,8,5,7,6,2] => 0101011 => 1101010 => 0010101
[3,6,5,1,2,8,4,7] => 0110010 => 0100110 => 1011001
[3,8,5,6,7,2,1,4] => 0100110 => 0110010 => 1001101
[8,1,7,6,2,4,3,5] => 1011010 => 0101101 => 1010010
[8,5,6,1,4,2,3,7] => 1010100 => 0010101 => 1101010
[8,6,5,4,7,1,3,2] => 1110101 => 1010111 => 0101000
[1,6,4,5,7,2,3,8] => 0100100 => 0010010 => 1101101
[8,3,6,1,7,2,4,5] => 1010100 => 0010101 => 1101010
[1,8,6,5,7,3,4,2] => 0110101 => 1010110 => 0101001
[1,7,5,3,6,8,4,2] => 0110011 => 1100110 => 0011001
[7,4,1,6,5,8,3,2] => 1101011 => 1101011 => 0010100
[4,1,5,8,7,6,3,2] => 1001111 => 1111001 => 0000110
[1,2,5,8,6,7,3,4] => 0001010 => 0101000 => 1010111
[4,2,1,5,8,7,3,6] => 1100110 => 0110011 => 1001100
[5,2,4,6,1,7,3,8] => 1001010 => 0101001 => 1010110
[1,5,3,6,8,7,4,2] => 0100111 => 1110010 => 0001101
[3,5,4,6,1,8,2,7] => 0101010 => 0101010 => 1010101
[3,1,5,7,6,8,2,4] => 1001010 => 0101001 => 1010110
[1,4,5,6,8,7,2,3] => 0000110 => 0110000 => 1001111
[1,4,6,3,7,2,8,5] => 0010101 => 1010100 => 0101011
[1,7,3,6,5,2,8,4] => 0101101 => 1011010 => 0100101
[8,6,2,5,4,1,7,3] => 1101101 => 1011011 => 0100100
[3,7,2,6,5,4,1,8] => 0101110 => 0111010 => 1000101
[7,6,2,5,4,3,1,8] => 1101110 => 0111011 => 1000100
[4,7,5,2,6,3,1,8] => 0110110 => 0110110 => 1001001
[3,2,6,4,7,5,1,8] => 1010110 => 0110101 => 1001010
[6,2,3,7,5,4,1,8] => 1001110 => 0111001 => 1000110
[1,3,4,7,6,2,8,5] => 0001101 => 1011000 => 0100111
[2,8,3,6,1,7,5,4] => 0101011 => 1101010 => 0010101
[8,7,2,5,1,6,4,3] => 1101011 => 1101011 => 0010100
[3,8,2,6,5,1,7,4] => 0101101 => 1011010 => 0100101
[7,8,2,5,4,1,6,3] => 0101101 => 1011010 => 0100101
[4,8,5,2,6,1,7,3] => 0110101 => 1010110 => 0101001
[4,5,1,3,7,2,8,6] => 0100101 => 1010010 => 0101101
[6,1,3,7,5,2,8,4] => 1001101 => 1011001 => 0100110
[7,1,3,6,2,8,5,4] => 1001011 => 1101001 => 0010110
[8,1,3,6,2,7,5,4] => 1001011 => 1101001 => 0010110
[1,2,4,7,3,8,6,5] => 0001011 => 1101000 => 0010111
[7,1,8,2,6,5,4,3] => 1010111 => 1110101 => 0001010
[3,1,8,6,2,7,5,4] => 1011011 => 1101101 => 0010010
[4,1,7,8,2,6,5,3] => 1001011 => 1101001 => 0010110
[5,6,1,8,2,7,4,3] => 0101011 => 1101010 => 0010101
[4,2,7,8,1,6,5,3] => 1001011 => 1101001 => 0010110
[3,2,8,6,1,7,5,4] => 1011011 => 1101101 => 0010010
[7,2,8,1,6,5,4,3] => 1010111 => 1110101 => 0001010
[1,8,7,2,6,5,4,3] => 0110111 => 1110110 => 0001001
[2,8,7,1,6,5,4,3] => 0110111 => 1110110 => 0001001
[3,8,7,1,6,5,4,2] => 0110111 => 1110110 => 0001001
[4,8,7,5,1,6,3,2] => 0111011 => 1101110 => 0010001
[6,7,8,5,1,4,3,2] => 0011011 => 1101100 => 0010011
[5,6,3,8,4,1,7,2] => 0101101 => 1011010 => 0100101
[7,3,8,5,4,1,6,2] => 1011101 => 1011101 => 0100010
[3,4,8,6,5,1,7,2] => 0011101 => 1011100 => 0100011
[8,3,7,5,1,6,4,2] => 1011011 => 1101101 => 0010010
[1,4,8,6,2,7,5,3] => 0011011 => 1101100 => 0010011
[8,4,6,7,1,5,3,2] => 1001011 => 1101001 => 0010110
[5,6,4,7,8,1,3,2] => 0100101 => 1010010 => 0101101
[3,4,6,5,1,2,8,7] => 0011001 => 1001100 => 0110011
[7,3,5,1,2,8,6,4] => 1010011 => 1100101 => 0011010
[1,4,6,2,3,8,7,5] => 0010011 => 1100100 => 0011011
[1,3,2,7,4,8,6,5] => 0101011 => 1101010 => 0010101
[7,2,1,6,3,8,5,4] => 1101011 => 1101011 => 0010100
[2,3,1,7,6,4,8,5] => 0101101 => 1011010 => 0100101
[4,5,2,1,7,3,8,6] => 0110101 => 1010110 => 0101001
[5,6,7,1,2,8,4,3] => 0010011 => 1100100 => 0011011
[4,7,5,1,2,8,6,3] => 0110011 => 1100110 => 0011001
[3,7,1,6,2,8,5,4] => 0101011 => 1101010 => 0010101
[7,6,1,2,8,5,4,3] => 1100111 => 1110011 => 0001100
[2,7,1,3,8,6,5,4] => 0100111 => 1110010 => 0001101
[8,6,1,2,7,5,4,3] => 1100111 => 1110011 => 0001100
[1,7,2,3,8,6,5,4] => 0100111 => 1110010 => 0001101
[8,7,1,2,6,5,4,3] => 1100111 => 1110011 => 0001100
[7,8,1,2,6,5,4,3] => 0100111 => 1110010 => 0001101
[3,8,1,6,2,7,5,4] => 0101011 => 1101010 => 0010101
[4,8,5,1,2,7,6,3] => 0110011 => 1100110 => 0011001
[5,6,8,1,2,7,4,3] => 0010011 => 1100100 => 0011011
[2,1,3,7,4,8,6,5] => 1001011 => 1101001 => 0010110
[4,2,7,3,6,8,1,5] => 1010010 => 0100101 => 1011010
[5,3,6,4,2,8,1,7] => 1011010 => 0101101 => 1010010
[4,1,5,3,8,2,7,6] => 1010101 => 1010101 => 0101010
[5,2,6,4,7,3,1,8] => 1010110 => 0110101 => 1001010
[2,6,3,4,7,5,1,8] => 0100110 => 0110010 => 1001101
[2,6,3,5,4,8,1,7] => 0101010 => 0101010 => 1010101
[2,7,4,3,5,8,1,6] => 0110010 => 0100110 => 1011001
[7,3,6,4,2,8,1,5] => 1011010 => 0101101 => 1010010
[7,6,4,5,2,8,1,3] => 1101010 => 0101011 => 1010100
[5,4,3,1,8,2,7,6] => 1110101 => 1010111 => 0101000
[6,5,4,2,7,3,1,8] => 1110110 => 0110111 => 1001000
[5,4,1,7,2,6,3,8] => 1101010 => 0101011 => 1010100
[5,4,1,8,3,2,6,7] => 1101100 => 0011011 => 1100100
[6,5,2,8,3,4,7,1] => 1101001 => 1001011 => 0110100
[7,4,2,1,8,3,6,5] => 1110101 => 1010111 => 0101000
[6,5,3,4,8,2,7,1] => 1100101 => 1010011 => 0101100
[6,1,5,3,8,2,7,4] => 1010101 => 1010101 => 0101010
[4,6,3,1,8,2,7,5] => 0110101 => 1010110 => 0101001
[5,8,4,2,7,3,1,6] => 0110110 => 0110110 => 1001001
[8,2,6,4,7,3,1,5] => 1010110 => 0110101 => 1001010
[8,6,2,5,7,4,1,3] => 1100110 => 0110011 => 1001100
[8,5,3,2,6,4,1,7] => 1110110 => 0110111 => 1001000
[8,3,1,7,2,5,4,6] => 1101010 => 0101011 => 1010100
[7,5,2,6,4,3,1,8] => 1101110 => 0111011 => 1000100
[7,1,6,2,5,4,3,8] => 1010110 => 0110101 => 1001010
[8,1,7,3,5,6,4,2] => 1010011 => 1100101 => 0011010
[8,6,1,7,4,5,2,3] => 1101010 => 0101011 => 1010100
[8,1,3,7,2,6,5,4] => 1001011 => 1101001 => 0010110
[1,7,6,8,3,2,4,5] => 0101100 => 0011010 => 1100101
[7,1,5,8,4,2,6,3] => 1001101 => 1011001 => 0100110
[7,3,8,4,5,2,6,1] => 1010101 => 1010101 => 0101010
[7,2,8,5,3,4,6,1] => 1011001 => 1001101 => 0110010
[6,1,8,4,3,2,5,7] => 1011100 => 0011101 => 1100010
[6,1,7,4,2,5,3,8] => 1011010 => 0101101 => 1010010
[1,2,7,3,4,6,5,8] => 0010010 => 0100100 => 1011011
[1,7,8,4,3,5,6,2] => 0011001 => 1001100 => 0110011
[1,6,2,8,3,5,7,4] => 0101001 => 1001010 => 0110101
[2,6,1,7,3,5,4,8] => 0101010 => 0101010 => 1010101
[3,1,5,8,4,2,6,7] => 1001100 => 0011001 => 1100110
[4,3,1,6,8,2,7,5] => 1100101 => 1010011 => 0101100
[5,7,4,8,3,2,1,6] => 0101110 => 0111010 => 1000101
[5,4,8,2,7,3,1,6] => 1010110 => 0110101 => 1001010
[5,2,8,7,3,4,1,6] => 1011010 => 0101101 => 1010010
[6,4,7,5,3,2,1,8] => 1011110 => 0111101 => 1000010
[1,8,3,7,6,2,4,5] => 0101100 => 0011010 => 1100101
[5,8,3,2,6,4,1,7] => 0110110 => 0110110 => 1001001
[6,8,2,4,7,5,1,3] => 0100110 => 0110010 => 1001101
[7,3,8,2,6,4,1,5] => 1010110 => 0110101 => 1001010
[4,6,8,2,7,3,1,5] => 0010110 => 0110100 => 1001011
[2,6,8,7,3,4,1,5] => 0011010 => 0101100 => 1010011
[7,2,8,6,3,5,1,4] => 1011010 => 0101101 => 1010010
[6,8,1,7,2,5,4,3] => 0101011 => 1101010 => 0010101
[3,8,7,4,5,6,1,2] => 0110010 => 0100110 => 1011001
[2,8,6,4,3,5,1,7] => 0111010 => 0101110 => 1010001
[2,7,6,3,5,4,1,8] => 0110110 => 0110110 => 1001001
[1,7,6,5,2,4,3,8] => 0111010 => 0101110 => 1010001
[1,8,6,5,3,2,4,7] => 0111100 => 0011110 => 1100001
[3,8,7,4,6,2,5,1] => 0110101 => 1010110 => 0101001
[5,8,3,7,6,2,4,1] => 0101101 => 1011010 => 0100101
[7,1,8,6,5,2,3,4] => 1011100 => 0011101 => 1100010
[8,4,7,5,3,2,1,6] => 1011110 => 0111101 => 1000010
[8,7,2,5,4,3,1,6] => 1101110 => 0111011 => 1000100
[6,8,3,2,5,4,7,1] => 0110101 => 1010110 => 0101001
[6,8,4,5,2,3,7,1] => 0101001 => 1001010 => 0110101
[1,5,7,8,4,3,6,2] => 0001101 => 1011000 => 0100111
[6,3,8,1,5,4,7,2] => 1010101 => 1010101 => 0101010
[6,2,1,8,5,4,7,3] => 1101101 => 1011011 => 0100100
[2,6,3,1,7,5,4,8] => 0110110 => 0110110 => 1001001
[2,6,5,7,4,1,3,8] => 0101100 => 0011010 => 1100101
[2,5,6,8,4,3,7,1] => 0001101 => 1011000 => 0100111
[2,4,7,5,8,1,6,3] => 0010101 => 1010100 => 0101011
[2,5,4,7,1,8,6,3] => 0101011 => 1101010 => 0010101
[5,2,1,8,7,6,4,3] => 1101111 => 1111011 => 0000100
[4,8,5,7,6,1,3,2] => 0101101 => 1011010 => 0100101
[4,8,6,7,5,3,1,2] => 0101110 => 0111010 => 1000101
[4,8,7,5,6,2,3,1] => 0110101 => 1010110 => 0101001
[6,5,4,8,2,1,7,3] => 1101101 => 1011011 => 0100100
[5,8,4,7,2,6,3,1] => 0101011 => 1101010 => 0010101
[1,5,7,4,8,2,6,3] => 0010101 => 1010100 => 0101011
[1,5,7,3,2,8,6,4] => 0011011 => 1101100 => 0010011
[5,8,3,2,7,6,4,1] => 0110111 => 1110110 => 0001001
[5,2,1,4,3,6,7,8] => 1101000 => 0001011 => 1110100
[3,5,7,4,2,6,1,8] => 0011010 => 0101100 => 1010011
[3,6,4,5,1,2,7,8] => 0101000 => 0001010 => 1110101
[4,2,1,6,5,3,7,8] => 1101100 => 0011011 => 1100100
[4,2,1,5,7,6,3,8] => 1100110 => 0110011 => 1001100
[4,3,5,1,7,6,2,8] => 1010110 => 0110101 => 1001010
[3,5,4,7,1,6,2,8] => 0101010 => 0101010 => 1010101
[3,4,7,5,6,1,2,8] => 0010100 => 0010100 => 1101011
[3,4,5,8,6,7,1,2] => 0001010 => 0101000 => 1010111
[3,5,4,6,1,8,7,2] => 0101011 => 1101010 => 0010101
[4,3,5,1,6,8,7,2] => 1010011 => 1100101 => 0011010
[4,2,1,5,6,8,7,3] => 1100011 => 1100011 => 0011100
[4,3,2,1,7,6,5,9,8,10] => 111011010 => 010110111 => 101001000
[7,3,2,1,6,5,4,9,8,10] => 111011010 => 010110111 => 101001000
[4,3,2,1,9,6,5,8,7,10] => 111011010 => 010110111 => 101001000
[6,3,2,1,9,5,4,8,7,10] => 111011010 => 010110111 => 101001000
[9,3,2,1,8,5,4,7,6,10] => 111011010 => 010110111 => 101001000
[6,5,2,1,9,4,3,8,7,10] => 111011010 => 010110111 => 101001000
[9,5,2,1,8,4,3,7,6,10] => 111011010 => 010110111 => 101001000
[4,3,2,1,7,6,5,10,8,9] => 111011010 => 010110111 => 101001000
[7,3,2,1,6,5,4,10,8,9] => 111011010 => 010110111 => 101001000
[4,3,2,1,8,6,5,10,7,9] => 111011010 => 010110111 => 101001000
[6,3,2,1,8,5,4,10,7,9] => 111011010 => 010110111 => 101001000
[8,3,2,1,7,5,4,10,6,9] => 111011010 => 010110111 => 101001000
[6,5,2,1,8,4,3,10,7,9] => 111011010 => 010110111 => 101001000
[8,5,2,1,7,4,3,10,6,9] => 111011010 => 010110111 => 101001000
[4,3,2,1,10,6,5,9,7,8] => 111011010 => 010110111 => 101001000
[6,3,2,1,10,5,4,9,7,8] => 111011010 => 010110111 => 101001000
[7,3,2,1,10,5,4,9,6,8] => 111011010 => 010110111 => 101001000
[10,3,2,1,9,5,4,8,6,7] => 111011010 => 010110111 => 101001000
[6,5,2,1,10,4,3,9,7,8] => 111011010 => 010110111 => 101001000
[7,5,2,1,10,4,3,9,6,8] => 111011010 => 010110111 => 101001000
[10,5,2,1,9,4,3,8,6,7] => 111011010 => 010110111 => 101001000
[4,3,2,1,8,7,5,10,6,9] => 111011010 => 010110111 => 101001000
[5,3,2,1,8,7,4,10,6,9] => 111011010 => 010110111 => 101001000
[8,3,2,1,7,6,4,10,5,9] => 111011010 => 010110111 => 101001000
[5,4,2,1,8,7,3,10,6,9] => 111011010 => 010110111 => 101001000
[8,4,2,1,7,6,3,10,5,9] => 111011010 => 010110111 => 101001000
[4,3,2,1,10,7,5,9,6,8] => 111011010 => 010110111 => 101001000
[5,3,2,1,10,7,4,9,6,8] => 111011010 => 010110111 => 101001000
[7,3,2,1,10,6,4,9,5,8] => 111011010 => 010110111 => 101001000
[10,3,2,1,9,6,4,8,5,7] => 111011010 => 010110111 => 101001000
[5,4,2,1,10,7,3,9,6,8] => 111011010 => 010110111 => 101001000
[7,4,2,1,10,6,3,9,5,8] => 111011010 => 010110111 => 101001000
[10,4,2,1,9,6,3,8,5,7] => 111011010 => 010110111 => 101001000
[7,6,2,1,10,5,3,9,4,8] => 111011010 => 010110111 => 101001000
[10,6,2,1,9,5,3,8,4,7] => 111011010 => 010110111 => 101001000
[5,4,3,1,8,7,2,10,6,9] => 111011010 => 010110111 => 101001000
[8,4,3,1,7,6,2,10,5,9] => 111011010 => 010110111 => 101001000
[5,4,3,1,10,7,2,9,6,8] => 111011010 => 010110111 => 101001000
[7,4,3,1,10,6,2,9,5,8] => 111011010 => 010110111 => 101001000
[10,4,3,1,9,6,2,8,5,7] => 111011010 => 010110111 => 101001000
[7,6,3,1,10,5,2,9,4,8] => 111011010 => 010110111 => 101001000
[10,6,3,1,9,5,2,8,4,7] => 111011010 => 010110111 => 101001000
[2,1,4,3,6,5,10,9,7,8] => 101010110 => 011010101 => 100101010
[2,1,4,3,8,7,5,6,10,9] => 101011001 => 100110101 => 011001010
[2,1,4,3,10,7,5,9,6,8] => 101011010 => 010110101 => 101001010
[2,1,4,3,10,9,8,5,6,7] => 101011100 => 001110101 => 110001010
[2,1,6,5,3,4,8,7,10,9] => 101100101 => 101001101 => 010110010
[2,1,6,5,3,4,10,9,7,8] => 101100110 => 011001101 => 100110010
[2,1,8,5,3,7,4,6,10,9] => 101101001 => 100101101 => 011010010
[2,1,10,5,3,7,4,9,6,8] => 101101010 => 010101101 => 101010010
[2,1,10,5,3,9,8,4,6,7] => 101101100 => 001101101 => 110010010
[2,1,8,7,6,3,4,5,10,9] => 101110001 => 100011101 => 011100010
[2,1,10,7,6,3,4,9,5,8] => 101110010 => 010011101 => 101100010
[2,1,10,9,6,3,8,4,5,7] => 101110100 => 001011101 => 110100010
[2,1,10,9,8,7,3,4,5,6] => 101111000 => 000111101 => 111000010
[4,3,1,2,6,5,8,7,10,9] => 110010101 => 101010011 => 010101100
[4,3,1,2,6,5,10,9,7,8] => 110010110 => 011010011 => 100101100
[4,3,1,2,8,7,5,6,10,9] => 110011001 => 100110011 => 011001100
[4,3,1,2,10,7,5,9,6,8] => 110011010 => 010110011 => 101001100
[4,3,1,2,10,9,8,5,6,7] => 110011100 => 001110011 => 110001100
[6,3,1,5,2,4,8,7,10,9] => 110100101 => 101001011 => 010110100
[6,3,1,5,2,4,10,9,7,8] => 110100110 => 011001011 => 100110100
[8,3,1,5,2,7,4,6,10,9] => 110101001 => 100101011 => 011010100
[10,3,1,5,2,7,4,9,6,8] => 110101010 => 010101011 => 101010100
[10,3,1,5,2,9,8,4,6,7] => 110101100 => 001101011 => 110010100
[8,3,1,7,6,2,4,5,10,9] => 110110001 => 100011011 => 011100100
[10,3,1,7,6,2,4,9,5,8] => 110110010 => 010011011 => 101100100
[10,3,1,9,6,2,8,4,5,7] => 110110100 => 001011011 => 110100100
[10,3,1,9,8,7,2,4,5,6] => 110111000 => 000111011 => 111000100
[6,5,4,1,2,3,8,7,10,9] => 111000101 => 101000111 => 010111000
[6,5,4,1,2,3,10,9,7,8] => 111000110 => 011000111 => 100111000
[8,5,4,1,2,7,3,6,10,9] => 111001001 => 100100111 => 011011000
[10,5,4,1,2,7,3,9,6,8] => 111001010 => 010100111 => 101011000
[10,5,4,1,2,9,8,3,6,7] => 111001100 => 001100111 => 110011000
[8,7,4,1,6,2,3,5,10,9] => 111010001 => 100010111 => 011101000
[10,7,4,1,6,2,3,9,5,8] => 111010010 => 010010111 => 101101000
[10,9,4,1,6,2,8,3,5,7] => 111010100 => 001010111 => 110101000
[10,9,4,1,8,7,2,3,5,6] => 111011000 => 000110111 => 111001000
[8,7,6,5,1,2,3,4,10,9] => 111100001 => 100001111 => 011110000
[10,7,6,5,1,2,3,9,4,8] => 111100010 => 010001111 => 101110000
[10,9,6,5,1,2,8,3,4,7] => 111100100 => 001001111 => 110110000
[10,9,8,5,1,7,2,3,4,6] => 111101000 => 000101111 => 111010000
[2,1,4,3,6,5,8,7,12,11,9,10] => 10101010110 => 01101010101 => 10010101010
[2,1,4,3,6,5,10,9,7,8,12,11] => 10101011001 => 10011010101 => 01100101010
[2,1,4,3,6,5,12,11,10,7,8,9] => 10101011100 => 00111010101 => 11000101010
[2,1,4,3,8,7,5,6,10,9,12,11] => 10101100101 => 10100110101 => 01011001010
[2,1,4,3,10,7,5,9,6,8,12,11] => 10101101001 => 10010110101 => 01101001010
[2,1,4,3,10,9,8,5,6,7,12,11] => 10101110001 => 10001110101 => 01110001010
[2,1,4,3,12,9,8,5,6,11,7,10] => 10101110010 => 01001110101 => 10110001010
[2,1,4,3,12,11,8,5,10,6,7,9] => 10101110100 => 00101110101 => 11010001010
[2,1,4,3,12,11,10,9,5,6,7,8] => 10101111000 => 00011110101 => 11100001010
[2,1,6,5,3,4,8,7,10,9,12,11] => 10110010101 => 10101001101 => 01010110010
[2,1,6,5,3,4,10,9,7,8,12,11] => 10110011001 => 10011001101 => 01100110010
[2,1,8,5,3,7,4,6,10,9,12,11] => 10110100101 => 10100101101 => 01011010010
[2,1,10,5,3,7,4,9,6,8,12,11] => 10110101001 => 10010101101 => 01101010010
[2,1,10,5,3,9,8,4,6,7,12,11] => 10110110001 => 10001101101 => 01110010010
[2,1,12,5,3,11,8,4,10,6,7,9] => 10110110100 => 00101101101 => 11010010010
[2,1,8,7,6,3,4,5,10,9,12,11] => 10111000101 => 10100011101 => 01011100010
[2,1,8,7,6,3,4,5,12,11,9,10] => 10111000110 => 01100011101 => 10011100010
[2,1,10,7,6,3,4,9,5,8,12,11] => 10111001001 => 10010011101 => 01101100010
[2,1,10,9,6,3,8,4,5,7,12,11] => 10111010001 => 10001011101 => 01110100010
[2,1,12,11,6,3,10,9,4,5,7,8] => 10111011000 => 00011011101 => 11100100010
[2,1,10,9,8,7,3,4,5,6,12,11] => 10111100001 => 10000111101 => 01111000010
[2,1,12,9,8,7,3,4,5,11,6,10] => 10111100010 => 01000111101 => 10111000010
[2,1,12,11,10,7,3,9,4,5,6,8] => 10111101000 => 00010111101 => 11101000010
[2,1,12,11,10,9,8,3,4,5,6,7] => 10111110000 => 00001111101 => 11110000010
[4,3,1,2,6,5,8,7,10,9,12,11] => 11001010101 => 10101010011 => 01010101100
[4,3,1,2,6,5,10,9,7,8,12,11] => 11001011001 => 10011010011 => 01100101100
[4,3,1,2,8,7,5,6,10,9,12,11] => 11001100101 => 10100110011 => 01011001100
[4,3,1,2,8,7,5,6,12,11,9,10] => 11001100110 => 01100110011 => 10011001100
[4,3,1,2,10,7,5,9,6,8,12,11] => 11001101001 => 10010110011 => 01101001100
[4,3,1,2,12,7,5,11,10,6,8,9] => 11001101100 => 00110110011 => 11001001100
[4,3,1,2,10,9,8,5,6,7,12,11] => 11001110001 => 10001110011 => 01110001100
[4,3,1,2,12,9,8,5,6,11,7,10] => 11001110010 => 01001110011 => 10110001100
[6,3,1,5,2,4,8,7,10,9,12,11] => 11010010101 => 10101001011 => 01010110100
[6,3,1,5,2,4,10,9,7,8,12,11] => 11010011001 => 10011001011 => 01100110100
[8,3,1,5,2,7,4,6,10,9,12,11] => 11010100101 => 10100101011 => 01011010100
[10,3,1,5,2,7,4,9,6,8,12,11] => 11010101001 => 10010101011 => 01101010100
[12,3,1,5,2,7,4,9,6,11,8,10] => 11010101010 => 01010101011 => 10101010100
[12,3,1,5,2,7,4,11,10,6,8,9] => 11010101100 => 00110101011 => 11001010100
[10,3,1,5,2,9,8,4,6,7,12,11] => 11010110001 => 10001101011 => 01110010100
[12,3,1,5,2,9,8,4,6,11,7,10] => 11010110010 => 01001101011 => 10110010100
[12,3,1,5,2,11,8,4,10,6,7,9] => 11010110100 => 00101101011 => 11010010100
[12,3,1,5,2,11,10,9,4,6,7,8] => 11010111000 => 00011101011 => 11100010100
[8,3,1,7,6,2,4,5,10,9,12,11] => 11011000101 => 10100011011 => 01011100100
[10,3,1,7,6,2,4,9,5,8,12,11] => 11011001001 => 10010011011 => 01101100100
[12,3,1,7,6,2,4,9,5,11,8,10] => 11011001010 => 01010011011 => 10101100100
[12,3,1,7,6,2,4,11,10,5,8,9] => 11011001100 => 00110011011 => 11001100100
[10,3,1,9,6,2,8,4,5,7,12,11] => 11011010001 => 10001011011 => 01110100100
[12,3,1,9,6,2,8,4,5,11,7,10] => 11011010010 => 01001011011 => 10110100100
[12,3,1,11,6,2,8,4,10,5,7,9] => 11011010100 => 00101011011 => 11010100100
[12,3,1,11,6,2,10,9,4,5,7,8] => 11011011000 => 00011011011 => 11100100100
[10,3,1,9,8,7,2,4,5,6,12,11] => 11011100001 => 10000111011 => 01111000100
[12,3,1,9,8,7,2,4,5,11,6,10] => 11011100010 => 01000111011 => 10111000100
[12,3,1,11,8,7,2,4,10,5,6,9] => 11011100100 => 00100111011 => 11011000100
[12,3,1,11,10,7,2,9,4,5,6,8] => 11011101000 => 00010111011 => 11101000100
[12,3,1,11,10,9,8,2,4,5,6,7] => 11011110000 => 00001111011 => 11110000100
[6,5,4,1,2,3,8,7,10,9,12,11] => 11100010101 => 10101000111 => 01010111000
[6,5,4,1,2,3,10,9,7,8,12,11] => 11100011001 => 10011000111 => 01100111000
[6,5,4,1,2,3,12,11,10,7,8,9] => 11100011100 => 00111000111 => 11000111000
[8,5,4,1,2,7,3,6,10,9,12,11] => 11100100101 => 10100100111 => 01011011000
[10,5,4,1,2,7,3,9,6,8,12,11] => 11100101001 => 10010100111 => 01101011000
[12,5,4,1,2,7,3,9,6,11,8,10] => 11100101010 => 01010100111 => 10101011000
[12,5,4,1,2,7,3,11,10,6,8,9] => 11100101100 => 00110100111 => 11001011000
[10,5,4,1,2,9,8,3,6,7,12,11] => 11100110001 => 10001100111 => 01110011000
[12,5,4,1,2,9,8,3,6,11,7,10] => 11100110010 => 01001100111 => 10110011000
[12,5,4,1,2,11,8,3,10,6,7,9] => 11100110100 => 00101100111 => 11010011000
[12,5,4,1,2,11,10,9,3,6,7,8] => 11100111000 => 00011100111 => 11100011000
[8,7,4,1,6,2,3,5,10,9,12,11] => 11101000101 => 10100010111 => 01011101000
[10,7,4,1,6,2,3,9,5,8,12,11] => 11101001001 => 10010010111 => 01101101000
[12,7,4,1,6,2,3,9,5,11,8,10] => 11101001010 => 01010010111 => 10101101000
[12,7,4,1,6,2,3,11,10,5,8,9] => 11101001100 => 00110010111 => 11001101000
[10,9,4,1,6,2,8,3,5,7,12,11] => 11101010001 => 10001010111 => 01110101000
[12,9,4,1,6,2,8,3,5,11,7,10] => 11101010010 => 01001010111 => 10110101000
[12,11,4,1,6,2,8,3,10,5,7,9] => 11101010100 => 00101010111 => 11010101000
[12,11,4,1,6,2,10,9,3,5,7,8] => 11101011000 => 00011010111 => 11100101000
[10,9,4,1,8,7,2,3,5,6,12,11] => 11101100001 => 10000110111 => 01111001000
[12,9,4,1,8,7,2,3,5,11,6,10] => 11101100010 => 01000110111 => 10111001000
[12,11,4,1,8,7,2,3,10,5,6,9] => 11101100100 => 00100110111 => 11011001000
[12,11,4,1,10,7,2,9,3,5,6,8] => 11101101000 => 00010110111 => 11101001000
[12,11,4,1,10,9,8,2,3,5,6,7] => 11101110000 => 00001110111 => 11110001000
[8,7,6,5,1,2,3,4,10,9,12,11] => 11110000101 => 10100001111 => 01011110000
[8,7,6,5,1,2,3,4,12,11,9,10] => 11110000110 => 01100001111 => 10011110000
[10,7,6,5,1,2,3,9,4,8,12,11] => 11110001001 => 10010001111 => 01101110000
[12,7,6,5,1,2,3,9,4,11,8,10] => 11110001010 => 01010001111 => 10101110000
[12,7,6,5,1,2,3,11,10,4,8,9] => 11110001100 => 00110001111 => 11001110000
[10,9,6,5,1,2,8,3,4,7,12,11] => 11110010001 => 10001001111 => 01110110000
[12,9,6,5,1,2,8,3,4,11,7,10] => 11110010010 => 01001001111 => 10110110000
[12,11,6,5,1,2,8,3,10,4,7,9] => 11110010100 => 00101001111 => 11010110000
[12,11,6,5,1,2,10,9,3,4,7,8] => 11110011000 => 00011001111 => 11100110000
[10,9,8,5,1,7,2,3,4,6,12,11] => 11110100001 => 10000101111 => 01111010000
[12,9,8,5,1,7,2,3,4,11,6,10] => 11110100010 => 01000101111 => 10111010000
[12,11,8,5,1,7,2,3,10,4,6,9] => 11110100100 => 00100101111 => 11011010000
[12,11,10,5,1,7,2,9,3,4,6,8] => 11110101000 => 00010101111 => 11101010000
[12,11,10,5,1,9,8,2,3,4,6,7] => 11110110000 => 00001101111 => 11110010000
[10,9,8,7,6,1,2,3,4,5,12,11] => 11111000001 => 10000011111 => 01111100000
[12,9,8,7,6,1,2,3,4,11,5,10] => 11111000010 => 01000011111 => 10111100000
[12,11,8,7,6,1,2,3,10,4,5,9] => 11111000100 => 00100011111 => 11011100000
[12,11,10,7,6,1,2,9,3,4,5,8] => 11111001000 => 00010011111 => 11101100000
[12,11,10,9,6,1,8,2,3,4,5,7] => 11111010000 => 00001011111 => 11110100000
[12,11,10,9,8,7,1,2,3,4,5,6] => 11111100000 => 00000111111 => 11111000000
[7,6,5,4,3,2,9,1,8] => 11111010 => 01011111 => 10100000
[6,5,4,3,9,2,8,1,7] => 11101010 => 01010111 => 10101000
[6,5,4,3,2,8,1,7,9] => 11110100 => 00101111 => 11010000
[5,4,9,3,8,2,7,1,6] => 10101010 => 01010101 => 10101010
[5,4,3,8,2,7,1,6,9] => 11010100 => 00101011 => 11010100
[5,4,3,2,7,9,1,6,8] => 11100100 => 00100111 => 11011000
[5,4,3,2,7,1,6,8,9] => 11101000 => 00010111 => 11101000
[4,8,3,7,2,6,1,5,9] => 01010100 => 00101010 => 11010101
[4,3,7,2,6,9,1,5,8] => 10100100 => 00100101 => 11011010
[4,3,7,2,6,1,5,8,9] => 10101000 => 00010101 => 11101010
[4,3,2,6,8,1,5,7,9] => 11001000 => 00010011 => 11101100
[4,3,2,6,1,5,7,8,9] => 11010000 => 00001011 => 11110100
[3,6,9,2,5,8,1,4,7] => 00100100 => 00100100 => 11011011
[3,6,2,5,8,1,4,7,9] => 01001000 => 00010010 => 11101101
[3,6,2,5,1,4,7,8,9] => 01010000 => 00001010 => 11110101
[3,2,5,7,9,1,4,6,8] => 10001000 => 00010001 => 11101110
[3,2,5,7,1,4,6,8,9] => 10010000 => 00001001 => 11110110
[3,2,5,1,4,6,7,8,9] => 10100000 => 00000101 => 11111010
[2,4,6,8,1,3,5,7,9] => 00010000 => 00001000 => 11110111
[2,4,6,1,3,5,7,8,9] => 00100000 => 00000100 => 11111011
[8,7,6,5,4,3,2,10,1,9] => 111111010 => 010111111 => 101000000
[7,6,5,4,3,10,2,9,1,8] => 111101010 => 010101111 => 101010000
[7,6,5,4,3,2,9,1,8,10] => 111110100 => 001011111 => 110100000
[6,5,4,10,3,9,2,8,1,7] => 110101010 => 010101011 => 101010100
[6,5,4,3,9,2,8,1,7,10] => 111010100 => 001010111 => 110101000
[6,5,4,3,2,8,10,1,7,9] => 111100100 => 001001111 => 110110000
[6,5,4,3,2,8,1,7,9,10] => 111101000 => 000101111 => 111010000
[5,10,4,9,3,8,2,7,1,6] => 010101010 => 010101010 => 101010101
[5,4,9,3,8,2,7,1,6,10] => 101010100 => 001010101 => 110101010
[5,4,3,8,2,7,10,1,6,9] => 110100100 => 001001011 => 110110100
[5,4,3,8,2,7,1,6,9,10] => 110101000 => 000101011 => 111010100
[5,4,3,2,7,9,1,6,8,10] => 111001000 => 000100111 => 111011000
[5,4,3,2,7,1,6,8,9,10] => 111010000 => 000010111 => 111101000
[4,8,3,7,2,6,10,1,5,9] => 010100100 => 001001010 => 110110101
[4,8,3,7,2,6,1,5,9,10] => 010101000 => 000101010 => 111010101
[4,3,7,10,2,6,9,1,5,8] => 100100100 => 001001001 => 110110110
[4,3,7,2,6,9,1,5,8,10] => 101001000 => 000100101 => 111011010
[4,3,7,2,6,1,5,8,9,10] => 101010000 => 000010101 => 111101010
[4,3,2,6,8,10,1,5,7,9] => 110001000 => 000100011 => 111011100
[4,3,2,6,8,1,5,7,9,10] => 110010000 => 000010011 => 111101100
[4,3,2,6,1,5,7,8,9,10] => 110100000 => 000001011 => 111110100
[3,6,9,2,5,8,1,4,7,10] => 001001000 => 000100100 => 111011011
[3,6,2,5,8,10,1,4,7,9] => 010001000 => 000100010 => 111011101
[3,6,2,5,8,1,4,7,9,10] => 010010000 => 000010010 => 111101101
[3,6,2,5,1,4,7,8,9,10] => 010100000 => 000001010 => 111110101
[3,2,5,7,9,1,4,6,8,10] => 100010000 => 000010001 => 111101110
[3,2,5,7,1,4,6,8,9,10] => 100100000 => 000001001 => 111110110
[3,2,5,1,4,6,7,8,9,10] => 101000000 => 000000101 => 111111010
[2,4,6,8,1,3,5,7,9,10] => 000100000 => 000001000 => 111110111
[2,4,6,1,3,5,7,8,9,10] => 001000000 => 000000100 => 111111011
[2,4,1,3,5,6,7,8,9,10] => 010000000 => 000000010 => 111111101
[2,1,7,3,8,4,6,5] => 1010101 => 1010101 => 0101010
[4,1,8,2,7,3,6,5] => 1010101 => 1010101 => 0101010
[4,1,7,2,8,3,6,5] => 1010101 => 1010101 => 0101010
[7,1,3,2,8,4,6,5] => 1010101 => 1010101 => 0101010
[7,1,8,2,4,3,6,5] => 1010101 => 1010101 => 0101010
[8,1,7,2,5,3,6,4] => 1010101 => 1010101 => 0101010
[7,1,5,2,8,3,6,4] => 1010101 => 1010101 => 0101010
[5,1,7,2,8,3,6,4] => 1010101 => 1010101 => 0101010
[5,1,8,2,7,3,6,4] => 1010101 => 1010101 => 0101010
[5,1,8,2,4,3,7,6] => 1010101 => 1010101 => 0101010
[8,1,6,2,4,3,7,5] => 1010101 => 1010101 => 0101010
[6,1,8,2,4,3,7,5] => 1010101 => 1010101 => 0101010
[6,1,8,2,5,3,7,4] => 1010101 => 1010101 => 0101010
[8,1,6,2,5,3,7,4] => 1010101 => 1010101 => 0101010
[8,1,6,2,7,3,5,4] => 1010101 => 1010101 => 0101010
[6,1,8,2,7,3,5,4] => 1010101 => 1010101 => 0101010
[6,1,7,2,8,3,5,4] => 1010101 => 1010101 => 0101010
[6,1,7,2,5,3,8,4] => 1010101 => 1010101 => 0101010
[6,1,7,2,4,3,8,5] => 1010101 => 1010101 => 0101010
[5,1,6,2,4,3,8,7] => 1010101 => 1010101 => 0101010
[7,1,5,2,4,3,8,6] => 1010101 => 1010101 => 0101010
[7,1,6,2,4,3,8,5] => 1010101 => 1010101 => 0101010
[7,1,6,2,5,3,8,4] => 1010101 => 1010101 => 0101010
[7,1,6,2,8,3,5,4] => 1010101 => 1010101 => 0101010
[7,1,8,2,6,3,5,4] => 1010101 => 1010101 => 0101010
[1,8,2,7,5,4,6,3] => 0101101 => 1011010 => 0100101
[1,8,2,7,4,3,5,6] => 0101100 => 0011010 => 1100101
[1,8,6,4,7,2,3,5] => 0110100 => 0010110 => 1101001
[1,8,4,2,6,3,5,7] => 0110100 => 0010110 => 1101001
[7,4,8,1,5,2,3,6] => 1010100 => 0010101 => 1101010
[4,1,7,2,6,3,5,8] => 1010100 => 0010101 => 1101010
[5,1,7,4,3,6,2,8] => 1011010 => 0101101 => 1010010
[7,5,8,3,2,4,1,6] => 1011010 => 0101101 => 1010010
[1,8,5,4,3,6,2,7] => 0111010 => 0101110 => 1010001
[1,8,5,4,3,7,2,6] => 0111010 => 0101110 => 1010001
[1,8,5,4,7,2,6,3] => 0110101 => 1010110 => 0101001
[1,8,4,2,5,3,7,6] => 0110101 => 1010110 => 0101001
[1,8,5,4,2,6,7,3] => 0111001 => 1001110 => 0110001
[7,4,8,2,1,3,5,6] => 1011000 => 0001101 => 1110010
[4,1,7,3,2,5,6,8] => 1011000 => 0001101 => 1110010
[7,5,4,8,2,3,6,1] => 1101001 => 1001011 => 0110100
[7,3,8,1,5,6,2,4] => 1010010 => 0100101 => 1011010
[3,1,7,2,6,8,4,5] => 1010010 => 0100101 => 1011010
[5,1,7,4,2,6,8,3] => 1011001 => 1001101 => 0110010
[4,1,6,3,2,5,8,7] => 1011001 => 1001101 => 0110010
[4,3,1,6,2,5,7,8] => 1101000 => 0001011 => 1110100
[6,5,4,3,7,1,8,2] => 1110101 => 1010111 => 0101000
[6,3,2,8,5,7,1,4] => 1101010 => 0101011 => 1010100
[6,5,4,3,8,2,7,1] => 1110101 => 1010111 => 0101000
[6,5,4,3,8,7,1,2] => 1110110 => 0110111 => 1001000
[7,6,3,8,5,4,1,2] => 1101110 => 0111011 => 1000100
[5,4,8,2,1,7,3,6] => 1011010 => 0101101 => 1010010
[6,4,2,8,5,1,3,7] => 1101100 => 0011011 => 1100100
[7,6,4,8,5,1,2,3] => 1101100 => 0011011 => 1100100
[7,2,8,6,3,1,4,5] => 1011100 => 0011101 => 1100010
[7,2,8,6,1,5,3,4] => 1011010 => 0101101 => 1010010
[2,1,7,8,3,6,4,5] => 1001010 => 0101001 => 1010110
[6,4,1,7,8,2,3,5] => 1100100 => 0010011 => 1101100
[4,2,1,6,7,3,5,8] => 1100100 => 0010011 => 1101100
[4,3,1,5,2,7,6,8] => 1101010 => 0101011 => 1010100
[5,4,2,7,3,8,1,6] => 1101010 => 0101011 => 1010100
[4,1,5,3,2,8,6,7] => 1011010 => 0101101 => 1010010
[3,1,6,2,8,7,4,5] => 1010110 => 0110101 => 1001010
[6,3,1,7,8,5,2,4] => 1100110 => 0110011 => 1001100
[6,5,4,1,7,8,3,2] => 1110011 => 1100111 => 0011000
[5,4,3,1,6,7,2,8] => 1110010 => 0100111 => 1011000
[6,5,4,2,7,8,3,1] => 1110011 => 1100111 => 0011000
[5,4,2,6,3,8,7,1] => 1101011 => 1101011 => 0010100
[4,3,1,5,2,6,8,7] => 1101001 => 1001011 => 0110100
[5,4,2,1,6,7,8,3] => 1110001 => 1000111 => 0111000
[5,4,3,1,6,7,8,2] => 1110001 => 1000111 => 0111000
[6,3,8,1,2,5,7,4] => 1010001 => 1000101 => 0111010
[3,6,7,1,2,5,8,4] => 0010001 => 1000100 => 0111011
[7,8,3,1,2,5,6,4] => 0110001 => 1000110 => 0111001
[7,8,1,3,2,4,6,5] => 0101001 => 1001010 => 0110101
[7,8,2,1,3,5,4,6] => 0110010 => 0100110 => 1011001
[5,2,3,7,1,8,6,4] => 1001011 => 1101001 => 0010110
[2,5,3,6,1,8,7,4] => 0101011 => 1101010 => 0010101
[2,6,7,3,1,8,4,5] => 0011010 => 0101100 => 1010011
[2,6,7,1,3,5,4,8] => 0010010 => 0100100 => 1011011
[6,2,8,3,1,7,4,5] => 1011010 => 0101101 => 1010010
[3,2,5,7,1,8,4,6] => 1001010 => 0101001 => 1010110
[4,3,1,2,7,8,6,5] => 1100011 => 1100011 => 0011100
[5,1,2,7,3,6,4,8] => 1001010 => 0101001 => 1010110
[5,1,4,7,8,2,3,6] => 1000100 => 0010001 => 1101110
[5,3,4,7,8,6,1,2] => 1000110 => 0110001 => 1001110
[3,5,4,6,8,7,1,2] => 0100110 => 0110010 => 1001101
[1,5,4,6,8,2,3,7] => 0100100 => 0010010 => 1101101
[1,6,7,3,2,4,8,5] => 0011001 => 1001100 => 0110011
[1,5,3,6,2,7,8,4] => 0101001 => 1001010 => 0110101
[5,1,3,7,2,6,8,4] => 1001001 => 1001001 => 0110110
[5,2,4,7,8,1,6,3] => 1000101 => 1010001 => 0101110
[4,2,5,7,6,1,8,3] => 1001101 => 1011001 => 0100110
[4,5,2,8,6,1,7,3] => 0101101 => 1011010 => 0100101
[5,3,1,8,2,6,7,4] => 1101001 => 1001011 => 0110100
[6,1,8,3,2,4,7,5] => 1011001 => 1001101 => 0110010
[4,3,5,7,6,8,1,2] => 1001010 => 0101001 => 1010110
[4,1,5,7,6,2,3,8] => 1001100 => 0011001 => 1100110
[4,5,1,8,6,2,3,7] => 0101100 => 0011010 => 1100101
[5,2,1,8,3,6,4,7] => 1101010 => 0101011 => 1010100
[3,4,2,1,8,7,5,6] => 0110110 => 0110110 => 1001001
[7,6,5,4,2,1,8,3] => 1111101 => 1011111 => 0100000
[7,6,5,4,8,1,3,2] => 1110101 => 1010111 => 0101000
[8,7,6,5,4,2,1,9,3] => 11111101 => 10111111 => 01000000
[7,6,5,8,2,1,4,3] => 1101101 => 1011011 => 0100100
[8,7,6,5,3,2,1,9,4] => 11111101 => 10111111 => 01000000
[8,7,6,4,3,2,1,9,5] => 11111101 => 10111111 => 01000000
[8,7,5,4,3,2,1,9,6] => 11111101 => 10111111 => 01000000
[8,5,4,3,2,1,7,6] => 1111101 => 1011111 => 0100000
[8,6,5,4,3,2,1,9,7] => 11111101 => 10111111 => 01000000
[7,6,5,4,3,2,1,9,8] => 11111101 => 10111111 => 01000000
[7,6,5,4,1,8,3,2] => 1111011 => 1101111 => 0010000
[8,7,6,5,4,9,1,3,2] => 11110101 => 10101111 => 01010000
[9,8,7,6,5,4,2,1,10,3] => 111111101 => 101111111 => 010000000
[7,6,5,2,8,1,4,3] => 1110101 => 1010111 => 0101000
[8,7,6,5,9,2,1,4,3] => 11101101 => 10110111 => 01001000
[9,8,7,6,5,3,2,1,10,4] => 111111101 => 101111111 => 010000000
[7,6,5,8,4,1,3,2] => 1101101 => 1011011 => 0100100
[8,7,6,9,3,2,1,5,4] => 11011101 => 10111011 => 01000100
[9,8,7,6,4,3,2,1,10,5] => 111111101 => 101111111 => 010000000
[7,6,8,5,2,1,4,3] => 1011101 => 1011101 => 0100010
[8,7,9,4,3,2,1,6,5] => 10111101 => 10111101 => 01000010
[9,8,7,5,4,3,2,1,10,6] => 111111101 => 101111111 => 010000000
[7,8,6,3,2,1,5,4] => 0111101 => 1011110 => 0100001
[8,9,5,4,3,2,1,7,6] => 01111101 => 10111110 => 01000001
[9,8,6,5,4,3,2,1,10,7] => 111111101 => 101111111 => 010000000
[8,7,4,3,2,1,6,5] => 1111101 => 1011111 => 0100000
[9,6,5,4,3,2,1,8,7] => 11111101 => 10111111 => 01000000
[9,7,6,5,4,3,2,1,10,8] => 111111101 => 101111111 => 010000000
[7,8,9,10,4,5,6,2,3,1] => 000100101 => 101001000 => 010110111
[7,8,9,4,5,6,10,2,3,1] => 001000101 => 101000100 => 010111011
[7,8,9,10,4,5,2,3,6,1] => 000101001 => 100101000 => 011010111
[7,8,9,4,5,10,2,3,6,1] => 001001001 => 100100100 => 011011011
[7,8,9,4,5,2,3,6,10,1] => 001010001 => 100010100 => 011101011
[7,8,4,5,9,10,2,3,6,1] => 010001001 => 100100010 => 011011101
[7,8,4,5,9,2,3,6,10,1] => 010010001 => 100010010 => 011101101
[7,8,9,10,4,5,6,2,1,3] => 000100110 => 011001000 => 100110111
[7,8,9,4,5,6,10,2,1,3] => 001000110 => 011000100 => 100111011
[7,8,9,10,4,5,2,6,1,3] => 000101010 => 010101000 => 101010111
[7,8,9,4,5,10,2,6,1,3] => 001001010 => 010100100 => 101011011
[7,8,9,4,5,2,6,10,1,3] => 001010010 => 010010100 => 101101011
[7,8,4,5,9,10,2,6,1,3] => 010001010 => 010100010 => 101011101
[7,8,4,5,9,2,6,10,1,3] => 010010010 => 010010010 => 101101101
[7,8,9,10,4,5,2,1,3,6] => 000101100 => 001101000 => 110010111
[7,8,9,4,5,10,2,1,3,6] => 001001100 => 001100100 => 110011011
[7,8,9,4,5,2,10,1,3,6] => 001010100 => 001010100 => 110101011
[7,8,9,4,5,2,1,3,6,10] => 001011000 => 000110100 => 111001011
[7,8,4,5,9,10,2,1,3,6] => 010001100 => 001100010 => 110011101
[7,8,4,5,9,2,10,1,3,6] => 010010100 => 001010010 => 110101101
[7,8,4,5,9,2,1,3,6,10] => 010011000 => 000110010 => 111001101
[7,8,9,10,4,2,5,6,1,3] => 000110010 => 010011000 => 101100111
[7,8,9,4,10,2,5,6,1,3] => 001010010 => 010010100 => 101101011
[7,8,9,4,2,5,6,10,1,3] => 001100010 => 010001100 => 101110011
[7,8,4,9,10,2,5,6,1,3] => 010010010 => 010010010 => 101101101
[7,8,4,9,2,5,6,10,1,3] => 010100010 => 010001010 => 101110101
[7,8,9,10,4,2,5,1,3,6] => 000110100 => 001011000 => 110100111
[7,8,9,4,10,2,5,1,3,6] => 001010100 => 001010100 => 110101011
[7,8,9,4,2,5,10,1,3,6] => 001100100 => 001001100 => 110110011
[7,8,9,4,2,5,1,3,6,10] => 001101000 => 000101100 => 111010011
[7,8,4,9,10,2,5,1,3,6] => 010010100 => 001010010 => 110101101
[7,8,4,9,2,5,10,1,3,6] => 010100100 => 001001010 => 110110101
[7,8,4,9,2,5,1,3,6,10] => 010101000 => 000101010 => 111010101
[7,8,4,2,5,9,10,1,3,6] => 011000100 => 001000110 => 110111001
[7,8,4,2,5,9,1,3,6,10] => 011001000 => 000100110 => 111011001
[7,4,8,9,10,2,5,6,1,3] => 100010010 => 010010001 => 101101110
[7,4,8,9,2,5,6,10,1,3] => 100100010 => 010001001 => 101110110
[7,4,8,9,10,2,5,1,3,6] => 100010100 => 001010001 => 110101110
[7,4,8,9,2,5,10,1,3,6] => 100100100 => 001001001 => 110110110
[7,4,8,9,2,5,1,3,6,10] => 100101000 => 000101001 => 111010110
[7,4,8,2,5,9,10,1,3,6] => 101000100 => 001000101 => 110111010
[7,8,2,4,5,1,3,6] => 0100100 => 0010010 => 1101101
[4,6,7,2,5,1,3,8] => 0010100 => 0010100 => 1101011
[7,8,1,3,2,4,5,6] => 0101000 => 0001010 => 1110101
[7,8,4,1,5,2,3,6] => 0110100 => 0010110 => 1101001
[3,6,7,2,1,4,5,8] => 0011000 => 0001100 => 1110011
[5,2,3,6,1,4,7,8] => 1001000 => 0001001 => 1110110
[2,5,3,6,1,4,7,8] => 0101000 => 0001010 => 1110101
[2,6,7,3,1,4,5,8] => 0011000 => 0001100 => 1110011
[4,6,7,1,5,2,3,8] => 0010100 => 0010100 => 1101011
[4,6,7,3,5,8,1,2] => 0010010 => 0100100 => 1011011
[6,4,7,1,5,2,3,8] => 1010100 => 0010101 => 1101010
[6,2,7,3,1,4,5,8] => 1011000 => 0001101 => 1110010
[3,2,5,6,1,4,7,8] => 1001000 => 0001001 => 1110110
[3,5,2,6,1,4,7,8] => 0101000 => 0001010 => 1110101
[5,1,4,6,7,2,3,8] => 1000100 => 0010001 => 1101110
[3,5,4,6,7,8,1,2] => 0100010 => 0100010 => 1011101
[1,5,4,6,7,2,3,8] => 0100100 => 0010010 => 1101101
[1,6,7,3,2,4,5,8] => 0011000 => 0001100 => 1110011
[1,5,3,6,2,4,7,8] => 0101000 => 0001010 => 1110101
[5,1,3,6,2,4,7,8] => 1001000 => 0001001 => 1110110
[5,2,4,6,7,1,3,8] => 1000100 => 0010001 => 1101110
[2,5,4,6,7,1,3,8] => 0100100 => 0010010 => 1101101
[2,6,7,4,5,1,3,8] => 0010100 => 0010100 => 1101011
[6,2,7,4,5,1,3,8] => 1010100 => 0010101 => 1101010
[4,2,5,6,7,1,3,8] => 1000100 => 0010001 => 1101110
[4,5,2,6,7,1,3,8] => 0100100 => 0010010 => 1101101
[5,3,1,6,2,4,7,8] => 1101000 => 0001011 => 1110100
[6,1,7,3,2,4,5,8] => 1011000 => 0001101 => 1110010
[6,1,7,4,5,2,3,8] => 1010100 => 0010101 => 1101010
[6,3,7,4,5,8,1,2] => 1010010 => 0100101 => 1011010
[5,4,1,6,7,2,3,8] => 1100100 => 0010011 => 1101100
[5,2,1,6,3,4,7,8] => 1101000 => 0001011 => 1110100
[7,3,2,5,4,1,6,8] => 1101100 => 0011011 => 1100100
[7,3,5,4,2,1,6,8] => 1011100 => 0011101 => 1100010
[7,3,5,2,4,1,6,8] => 1010100 => 0010101 => 1101010
[7,6,5,2,1,4,3,8] => 1111010 => 0101111 => 1010000
[1,3,6,7,5,2,8,4] => 0001101 => 1011000 => 0100111
[7,3,4,1,6,2,5,8] => 1010100 => 0010101 => 1101010
[7,3,4,1,6,5,2,8] => 1010110 => 0110101 => 1001010
[7,3,4,1,5,6,2,8] => 1010010 => 0100101 => 1011010
[7,3,2,5,1,6,4,8] => 1101010 => 0101011 => 1010100
[7,6,5,4,1,3,2,8] => 1111010 => 0101111 => 1010000
[7,3,4,1,5,2,6,8] => 1010100 => 0010101 => 1101010
[1,3,6,7,2,5,8,4] => 0001001 => 1001000 => 0110111
[1,7,4,6,2,8,5,3] => 0101011 => 1101010 => 0010101
[4,3,1,7,2,6,8,5] => 1101001 => 1001011 => 0110100
[5,6,1,4,7,3,8,2] => 0100101 => 1010010 => 0101101
[5,3,2,1,7,4,8,6] => 1110101 => 1010111 => 0101000
[1,3,4,5,8,7,2,6] => 0000110 => 0110000 => 1001111
[6,3,4,5,8,1,7,2] => 1000101 => 1010001 => 0101110
[2,4,5,1,6,8,7,3] => 0010011 => 1100100 => 0011011
[3,1,2,5,6,8,7,4] => 1000011 => 1100001 => 0011110
[4,3,2,5,6,8,1,7] => 1100010 => 0100011 => 1011100
[3,7,5,4,6,8,1,2] => 0110010 => 0100110 => 1011001
[3,1,4,6,5,8,2,7] => 1001010 => 0101001 => 1010110
[2,3,4,5,8,6,1,7] => 0000110 => 0110000 => 1001111
[2,3,4,5,8,1,7,6] => 0000101 => 1010000 => 0101111
[3,1,4,6,5,8,7,2] => 1001011 => 1101001 => 0010110
[3,7,5,4,6,8,2,1] => 0110011 => 1100110 => 0011001
[5,6,1,4,7,2,8,3] => 0100101 => 1010010 => 0101101
[4,3,1,7,5,6,8,2] => 1101001 => 1001011 => 0110100
[4,3,1,7,6,5,8,2] => 1101101 => 1011011 => 0100100
[3,1,4,6,7,8,5,2] => 1000011 => 1100001 => 0011110
[1,4,5,2,6,8,7,3] => 0010011 => 1100100 => 0011011
[3,7,5,2,6,8,1,4] => 0110010 => 0100110 => 1011001
[3,7,5,2,6,8,4,1] => 0110011 => 1100110 => 0011001
[5,6,1,2,7,4,8,3] => 0100101 => 1010010 => 0101101
[6,3,5,2,4,7,8,1] => 1010001 => 1000101 => 0111010
[5,3,2,1,4,7,8,6] => 1110001 => 1000111 => 0111000
[5,3,1,4,2,7,8,6] => 1101001 => 1001011 => 0110100
[5,3,1,2,4,7,8,6] => 1100001 => 1000011 => 0111100
[7,1,5,2,6,8,4,3] => 1010011 => 1100101 => 0011010
[7,1,5,2,6,8,3,4] => 1010010 => 0100101 => 1011010
[1,7,4,6,5,8,3,2] => 0101011 => 1101010 => 0010101
[2,7,4,6,1,8,3,5] => 0101010 => 0101010 => 1010101
[2,7,4,6,1,8,5,3] => 0101011 => 1101010 => 0010101
[2,3,6,7,1,5,8,4] => 0001001 => 1001000 => 0110111
[2,3,6,7,5,1,8,4] => 0001101 => 1011000 => 0100111
[4,3,2,6,7,1,8,5] => 1100101 => 1010011 => 0101100
[7,3,2,5,6,8,1,4] => 1100010 => 0100011 => 1011100
[7,1,5,4,6,8,2,3] => 1010010 => 0100101 => 1011010
[2,7,4,6,5,8,1,3] => 0101010 => 0101010 => 1010101
[7,3,4,5,8,6,1,2] => 1000110 => 0110001 => 1001110
[7,3,4,5,8,1,6,2] => 1000101 => 1010001 => 0101110
[7,3,4,5,8,1,2,6] => 1000100 => 0010001 => 1101110
[1,3,4,5,8,6,2,7] => 0000110 => 0110000 => 1001111
[1,3,4,5,8,2,7,6] => 0000101 => 1010000 => 0101111
[6,3,4,5,8,2,1,7] => 1000110 => 0110001 => 1001110
[6,3,4,5,8,2,7,1] => 1000101 => 1010001 => 0101110
[7,3,4,5,8,6,2,1] => 1000111 => 1110001 => 0001110
[2,7,4,6,5,8,3,1] => 0101011 => 1101010 => 0010101
[7,1,5,4,6,8,3,2] => 1010011 => 1100101 => 0011010
[7,3,2,5,6,8,4,1] => 1100011 => 1100011 => 0011100
[5,7,4,6,1,8,3,2] => 0101011 => 1101010 => 0010101
[6,3,4,5,8,1,2,7] => 1000100 => 0010001 => 1101110
[7,3,4,5,8,2,1,6] => 1000110 => 0110001 => 1001110
[7,3,4,5,8,2,6,1] => 1000101 => 1010001 => 0101110
[4,7,6,1,8,2,5,3] => 0110101 => 1010110 => 0101001
[4,8,6,1,7,5,2,3] => 0110110 => 0110110 => 1001001
[4,7,8,2,6,1,5,3] => 0010101 => 1010100 => 0101011
[7,6,4,2,8,3,5,1] => 1110101 => 1010111 => 0101000
[8,6,4,2,7,5,3,1] => 1110111 => 1110111 => 0001000
[8,4,7,3,6,5,1,2] => 1010110 => 0110101 => 1001010
[8,4,6,1,7,5,3,2] => 1010111 => 1110101 => 0001010
[6,4,7,1,8,3,2,5] => 1010110 => 0110101 => 1001010
[7,4,8,3,6,1,5,2] => 1010101 => 1010101 => 0101010
[7,8,4,3,6,2,5,1] => 0110101 => 1010110 => 0101001
[8,10,7,9,5,6,3,4,1,2] => 010101010 => 010101010 => 101010101
[9,10,6,8,5,7,3,4,1,2] => 010101010 => 010101010 => 101010101
[8,10,6,9,5,7,3,4,1,2] => 010101010 => 010101010 => 101010101
[7,10,6,9,5,8,3,4,1,2] => 010101010 => 010101010 => 101010101
[9,10,7,8,4,6,3,5,1,2] => 010101010 => 010101010 => 101010101
[8,10,7,9,4,6,3,5,1,2] => 010101010 => 010101010 => 101010101
[9,10,6,8,4,7,3,5,1,2] => 010101010 => 010101010 => 101010101
[8,10,6,9,4,7,3,5,1,2] => 010101010 => 010101010 => 101010101
[7,10,6,9,4,8,3,5,1,2] => 010101010 => 010101010 => 101010101
[9,10,5,8,4,7,3,6,1,2] => 010101010 => 010101010 => 101010101
[8,10,5,9,4,7,3,6,1,2] => 010101010 => 010101010 => 101010101
[7,10,5,9,4,8,3,6,1,2] => 010101010 => 010101010 => 101010101
[6,10,5,9,4,8,3,7,1,2] => 010101010 => 010101010 => 101010101
[9,10,7,8,5,6,2,4,1,3] => 010101010 => 010101010 => 101010101
[8,10,7,9,5,6,2,4,1,3] => 010101010 => 010101010 => 101010101
[9,10,6,8,5,7,2,4,1,3] => 010101010 => 010101010 => 101010101
[8,10,6,9,5,7,2,4,1,3] => 010101010 => 010101010 => 101010101
[7,10,6,9,5,8,2,4,1,3] => 010101010 => 010101010 => 101010101
[9,10,7,8,4,6,2,5,1,3] => 010101010 => 010101010 => 101010101
[8,10,7,9,4,6,2,5,1,3] => 010101010 => 010101010 => 101010101
[9,10,6,8,4,7,2,5,1,3] => 010101010 => 010101010 => 101010101
[8,10,6,9,4,7,2,5,1,3] => 010101010 => 010101010 => 101010101
[7,10,6,9,4,8,2,5,1,3] => 010101010 => 010101010 => 101010101
[9,10,5,8,4,7,2,6,1,3] => 010101010 => 010101010 => 101010101
[8,10,5,9,4,7,2,6,1,3] => 010101010 => 010101010 => 101010101
[7,10,5,9,4,8,2,6,1,3] => 010101010 => 010101010 => 101010101
[6,10,5,9,4,8,2,7,1,3] => 010101010 => 010101010 => 101010101
[9,10,7,8,3,6,2,5,1,4] => 010101010 => 010101010 => 101010101
[8,10,7,9,3,6,2,5,1,4] => 010101010 => 010101010 => 101010101
[9,10,6,8,3,7,2,5,1,4] => 010101010 => 010101010 => 101010101
[8,10,6,9,3,7,2,5,1,4] => 010101010 => 010101010 => 101010101
[7,10,6,9,3,8,2,5,1,4] => 010101010 => 010101010 => 101010101
[9,10,5,8,3,7,2,6,1,4] => 010101010 => 010101010 => 101010101
[8,10,5,9,3,7,2,6,1,4] => 010101010 => 010101010 => 101010101
[7,10,5,9,3,8,2,6,1,4] => 010101010 => 010101010 => 101010101
[6,10,5,9,3,8,2,7,1,4] => 010101010 => 010101010 => 101010101
[9,10,4,8,3,7,2,6,1,5] => 010101010 => 010101010 => 101010101
[8,10,4,9,3,7,2,6,1,5] => 010101010 => 010101010 => 101010101
[7,10,4,9,3,8,2,6,1,5] => 010101010 => 010101010 => 101010101
[6,10,4,9,3,8,2,7,1,5] => 010101010 => 010101010 => 101010101
[10,12,9,11,7,8,5,6,3,4,1,2] => 01010101010 => 01010101010 => 10101010101
[11,12,8,10,7,9,5,6,3,4,1,2] => 01010101010 => 01010101010 => 10101010101
[10,12,8,11,7,9,5,6,3,4,1,2] => 01010101010 => 01010101010 => 10101010101
[9,12,8,11,7,10,5,6,3,4,1,2] => 01010101010 => 01010101010 => 10101010101
[11,12,9,10,6,8,5,7,3,4,1,2] => 01010101010 => 01010101010 => 10101010101
[10,12,9,11,6,8,5,7,3,4,1,2] => 01010101010 => 01010101010 => 10101010101
[11,12,8,10,6,9,5,7,3,4,1,2] => 01010101010 => 01010101010 => 10101010101
[10,12,8,11,6,9,5,7,3,4,1,2] => 01010101010 => 01010101010 => 10101010101
[9,12,8,11,6,10,5,7,3,4,1,2] => 01010101010 => 01010101010 => 10101010101
[11,12,7,10,6,9,5,8,3,4,1,2] => 01010101010 => 01010101010 => 10101010101
[10,12,7,11,6,9,5,8,3,4,1,2] => 01010101010 => 01010101010 => 10101010101
[9,12,7,11,6,10,5,8,3,4,1,2] => 01010101010 => 01010101010 => 10101010101
[8,12,7,11,6,10,5,9,3,4,1,2] => 01010101010 => 01010101010 => 10101010101
[11,12,9,10,7,8,4,6,3,5,1,2] => 01010101010 => 01010101010 => 10101010101
[10,12,9,11,7,8,4,6,3,5,1,2] => 01010101010 => 01010101010 => 10101010101
[11,12,8,10,7,9,4,6,3,5,1,2] => 01010101010 => 01010101010 => 10101010101
[10,12,8,11,7,9,4,6,3,5,1,2] => 01010101010 => 01010101010 => 10101010101
[9,12,8,11,7,10,4,6,3,5,1,2] => 01010101010 => 01010101010 => 10101010101
[11,12,9,10,6,8,4,7,3,5,1,2] => 01010101010 => 01010101010 => 10101010101
[10,12,9,11,6,8,4,7,3,5,1,2] => 01010101010 => 01010101010 => 10101010101
[11,12,8,10,6,9,4,7,3,5,1,2] => 01010101010 => 01010101010 => 10101010101
[10,12,8,11,6,9,4,7,3,5,1,2] => 01010101010 => 01010101010 => 10101010101
[9,12,8,11,6,10,4,7,3,5,1,2] => 01010101010 => 01010101010 => 10101010101
[11,12,7,10,6,9,4,8,3,5,1,2] => 01010101010 => 01010101010 => 10101010101
[10,12,7,11,6,9,4,8,3,5,1,2] => 01010101010 => 01010101010 => 10101010101
[9,12,7,11,6,10,4,8,3,5,1,2] => 01010101010 => 01010101010 => 10101010101
[8,12,7,11,6,10,4,9,3,5,1,2] => 01010101010 => 01010101010 => 10101010101
[11,12,9,10,5,8,4,7,3,6,1,2] => 01010101010 => 01010101010 => 10101010101
[10,12,9,11,5,8,4,7,3,6,1,2] => 01010101010 => 01010101010 => 10101010101
[11,12,8,10,5,9,4,7,3,6,1,2] => 01010101010 => 01010101010 => 10101010101
[10,12,8,11,5,9,4,7,3,6,1,2] => 01010101010 => 01010101010 => 10101010101
[9,12,8,11,5,10,4,7,3,6,1,2] => 01010101010 => 01010101010 => 10101010101
[11,12,7,10,5,9,4,8,3,6,1,2] => 01010101010 => 01010101010 => 10101010101
[10,12,7,11,5,9,4,8,3,6,1,2] => 01010101010 => 01010101010 => 10101010101
[9,12,7,11,5,10,4,8,3,6,1,2] => 01010101010 => 01010101010 => 10101010101
[8,12,7,11,5,10,4,9,3,6,1,2] => 01010101010 => 01010101010 => 10101010101
[11,12,6,10,5,9,4,8,3,7,1,2] => 01010101010 => 01010101010 => 10101010101
[10,12,6,11,5,9,4,8,3,7,1,2] => 01010101010 => 01010101010 => 10101010101
[9,12,6,11,5,10,4,8,3,7,1,2] => 01010101010 => 01010101010 => 10101010101
[8,12,6,11,5,10,4,9,3,7,1,2] => 01010101010 => 01010101010 => 10101010101
[7,12,6,11,5,10,4,9,3,8,1,2] => 01010101010 => 01010101010 => 10101010101
[11,12,9,10,7,8,5,6,2,4,1,3] => 01010101010 => 01010101010 => 10101010101
[10,12,9,11,7,8,5,6,2,4,1,3] => 01010101010 => 01010101010 => 10101010101
[11,12,8,10,7,9,5,6,2,4,1,3] => 01010101010 => 01010101010 => 10101010101
[10,12,8,11,7,9,5,6,2,4,1,3] => 01010101010 => 01010101010 => 10101010101
[9,12,8,11,7,10,5,6,2,4,1,3] => 01010101010 => 01010101010 => 10101010101
[11,12,9,10,6,8,5,7,2,4,1,3] => 01010101010 => 01010101010 => 10101010101
[10,12,9,11,6,8,5,7,2,4,1,3] => 01010101010 => 01010101010 => 10101010101
[11,12,8,10,6,9,5,7,2,4,1,3] => 01010101010 => 01010101010 => 10101010101
[10,12,8,11,6,9,5,7,2,4,1,3] => 01010101010 => 01010101010 => 10101010101
[9,12,8,11,6,10,5,7,2,4,1,3] => 01010101010 => 01010101010 => 10101010101
[11,12,7,10,6,9,5,8,2,4,1,3] => 01010101010 => 01010101010 => 10101010101
[10,12,7,11,6,9,5,8,2,4,1,3] => 01010101010 => 01010101010 => 10101010101
[9,12,7,11,6,10,5,8,2,4,1,3] => 01010101010 => 01010101010 => 10101010101
[8,12,7,11,6,10,5,9,2,4,1,3] => 01010101010 => 01010101010 => 10101010101
[11,12,9,10,7,8,4,6,2,5,1,3] => 01010101010 => 01010101010 => 10101010101
[10,12,9,11,7,8,4,6,2,5,1,3] => 01010101010 => 01010101010 => 10101010101
[11,12,8,10,7,9,4,6,2,5,1,3] => 01010101010 => 01010101010 => 10101010101
[10,12,8,11,7,9,4,6,2,5,1,3] => 01010101010 => 01010101010 => 10101010101
[9,12,8,11,7,10,4,6,2,5,1,3] => 01010101010 => 01010101010 => 10101010101
[11,12,9,10,6,8,4,7,2,5,1,3] => 01010101010 => 01010101010 => 10101010101
[10,12,9,11,6,8,4,7,2,5,1,3] => 01010101010 => 01010101010 => 10101010101
[11,12,8,10,6,9,4,7,2,5,1,3] => 01010101010 => 01010101010 => 10101010101
[10,12,8,11,6,9,4,7,2,5,1,3] => 01010101010 => 01010101010 => 10101010101
[9,12,8,11,6,10,4,7,2,5,1,3] => 01010101010 => 01010101010 => 10101010101
[11,12,7,10,6,9,4,8,2,5,1,3] => 01010101010 => 01010101010 => 10101010101
[10,12,7,11,6,9,4,8,2,5,1,3] => 01010101010 => 01010101010 => 10101010101
[9,12,7,11,6,10,4,8,2,5,1,3] => 01010101010 => 01010101010 => 10101010101
[8,12,7,11,6,10,4,9,2,5,1,3] => 01010101010 => 01010101010 => 10101010101
[11,12,9,10,5,8,4,7,2,6,1,3] => 01010101010 => 01010101010 => 10101010101
[10,12,9,11,5,8,4,7,2,6,1,3] => 01010101010 => 01010101010 => 10101010101
[11,12,8,10,5,9,4,7,2,6,1,3] => 01010101010 => 01010101010 => 10101010101
[10,12,8,11,5,9,4,7,2,6,1,3] => 01010101010 => 01010101010 => 10101010101
[9,12,8,11,5,10,4,7,2,6,1,3] => 01010101010 => 01010101010 => 10101010101
[11,12,7,10,5,9,4,8,2,6,1,3] => 01010101010 => 01010101010 => 10101010101
[10,12,7,11,5,9,4,8,2,6,1,3] => 01010101010 => 01010101010 => 10101010101
[9,12,7,11,5,10,4,8,2,6,1,3] => 01010101010 => 01010101010 => 10101010101
[8,12,7,11,5,10,4,9,2,6,1,3] => 01010101010 => 01010101010 => 10101010101
[11,12,6,10,5,9,4,8,2,7,1,3] => 01010101010 => 01010101010 => 10101010101
[10,12,6,11,5,9,4,8,2,7,1,3] => 01010101010 => 01010101010 => 10101010101
[9,12,6,11,5,10,4,8,2,7,1,3] => 01010101010 => 01010101010 => 10101010101
[8,12,6,11,5,10,4,9,2,7,1,3] => 01010101010 => 01010101010 => 10101010101
[7,12,6,11,5,10,4,9,2,8,1,3] => 01010101010 => 01010101010 => 10101010101
[11,12,9,10,7,8,3,6,2,5,1,4] => 01010101010 => 01010101010 => 10101010101
[10,12,9,11,7,8,3,6,2,5,1,4] => 01010101010 => 01010101010 => 10101010101
[11,12,8,10,7,9,3,6,2,5,1,4] => 01010101010 => 01010101010 => 10101010101
[10,12,8,11,7,9,3,6,2,5,1,4] => 01010101010 => 01010101010 => 10101010101
[9,12,8,11,7,10,3,6,2,5,1,4] => 01010101010 => 01010101010 => 10101010101
[11,12,9,10,6,8,3,7,2,5,1,4] => 01010101010 => 01010101010 => 10101010101
[10,12,9,11,6,8,3,7,2,5,1,4] => 01010101010 => 01010101010 => 10101010101
[11,12,8,10,6,9,3,7,2,5,1,4] => 01010101010 => 01010101010 => 10101010101
[10,12,8,11,6,9,3,7,2,5,1,4] => 01010101010 => 01010101010 => 10101010101
[9,12,8,11,6,10,3,7,2,5,1,4] => 01010101010 => 01010101010 => 10101010101
[11,12,7,10,6,9,3,8,2,5,1,4] => 01010101010 => 01010101010 => 10101010101
[10,12,7,11,6,9,3,8,2,5,1,4] => 01010101010 => 01010101010 => 10101010101
[9,12,7,11,6,10,3,8,2,5,1,4] => 01010101010 => 01010101010 => 10101010101
[8,12,7,11,6,10,3,9,2,5,1,4] => 01010101010 => 01010101010 => 10101010101
[11,12,9,10,5,8,3,7,2,6,1,4] => 01010101010 => 01010101010 => 10101010101
[10,12,9,11,5,8,3,7,2,6,1,4] => 01010101010 => 01010101010 => 10101010101
[11,12,8,10,5,9,3,7,2,6,1,4] => 01010101010 => 01010101010 => 10101010101
[10,12,8,11,5,9,3,7,2,6,1,4] => 01010101010 => 01010101010 => 10101010101
[9,12,8,11,5,10,3,7,2,6,1,4] => 01010101010 => 01010101010 => 10101010101
[11,12,7,10,5,9,3,8,2,6,1,4] => 01010101010 => 01010101010 => 10101010101
[10,12,7,11,5,9,3,8,2,6,1,4] => 01010101010 => 01010101010 => 10101010101
[9,12,7,11,5,10,3,8,2,6,1,4] => 01010101010 => 01010101010 => 10101010101
[8,12,7,11,5,10,3,9,2,6,1,4] => 01010101010 => 01010101010 => 10101010101
[11,12,6,10,5,9,3,8,2,7,1,4] => 01010101010 => 01010101010 => 10101010101
[10,12,6,11,5,9,3,8,2,7,1,4] => 01010101010 => 01010101010 => 10101010101
[9,12,6,11,5,10,3,8,2,7,1,4] => 01010101010 => 01010101010 => 10101010101
[8,12,6,11,5,10,3,9,2,7,1,4] => 01010101010 => 01010101010 => 10101010101
[7,12,6,11,5,10,3,9,2,8,1,4] => 01010101010 => 01010101010 => 10101010101
[11,12,9,10,4,8,3,7,2,6,1,5] => 01010101010 => 01010101010 => 10101010101
[10,12,9,11,4,8,3,7,2,6,1,5] => 01010101010 => 01010101010 => 10101010101
[11,12,8,10,4,9,3,7,2,6,1,5] => 01010101010 => 01010101010 => 10101010101
[10,12,8,11,4,9,3,7,2,6,1,5] => 01010101010 => 01010101010 => 10101010101
[9,12,8,11,4,10,3,7,2,6,1,5] => 01010101010 => 01010101010 => 10101010101
[11,12,7,10,4,9,3,8,2,6,1,5] => 01010101010 => 01010101010 => 10101010101
[10,12,7,11,4,9,3,8,2,6,1,5] => 01010101010 => 01010101010 => 10101010101
[9,12,7,11,4,10,3,8,2,6,1,5] => 01010101010 => 01010101010 => 10101010101
[8,12,7,11,4,10,3,9,2,6,1,5] => 01010101010 => 01010101010 => 10101010101
[11,12,6,10,4,9,3,8,2,7,1,5] => 01010101010 => 01010101010 => 10101010101
[10,12,6,11,4,9,3,8,2,7,1,5] => 01010101010 => 01010101010 => 10101010101
[9,12,6,11,4,10,3,8,2,7,1,5] => 01010101010 => 01010101010 => 10101010101
[8,12,6,11,4,10,3,9,2,7,1,5] => 01010101010 => 01010101010 => 10101010101
[7,12,6,11,4,10,3,9,2,8,1,5] => 01010101010 => 01010101010 => 10101010101
[11,12,5,10,4,9,3,8,2,7,1,6] => 01010101010 => 01010101010 => 10101010101
[10,12,5,11,4,9,3,8,2,7,1,6] => 01010101010 => 01010101010 => 10101010101
[9,12,5,11,4,10,3,8,2,7,1,6] => 01010101010 => 01010101010 => 10101010101
[8,12,5,11,4,10,3,9,2,7,1,6] => 01010101010 => 01010101010 => 10101010101
[7,12,5,11,4,10,3,9,2,8,1,6] => 01010101010 => 01010101010 => 10101010101
[6,12,5,11,4,10,3,9,2,8,1,7] => 01010101010 => 01010101010 => 10101010101
[2,1,7,3,5,8,6,4] => 1010011 => 1100101 => 0011010
[4,2,1,8,3,6,7,5] => 1101001 => 1001011 => 0110100
[2,1,8,6,3,5,7,4] => 1011001 => 1001101 => 0110010
[6,2,1,7,3,5,8,4] => 1101001 => 1001011 => 0110100
[2,7,3,1,4,8,5,6] => 0110010 => 0100110 => 1011001
[3,2,1,5,7,8,4,6] => 1100010 => 0100011 => 1011100
[2,1,7,3,6,8,4,5] => 1010010 => 0100101 => 1011010
[2,7,3,1,5,6,8,4] => 0110001 => 1000110 => 0111001
[4,3,7,5,6,1,8,2] => 1010101 => 1010101 => 0101010
[4,3,6,8,5,1,7,2] => 1001101 => 1011001 => 0100110
[2,6,1,8,3,5,7,4] => 0101001 => 1001010 => 0110101
[2,1,6,8,3,7,4,5] => 1001010 => 0101001 => 1010110
[2,1,8,3,5,7,4,6] => 1010010 => 0100101 => 1011010
[3,2,1,5,6,8,4,7] => 1100010 => 0100011 => 1011100
[3,2,1,5,7,4,6,8] => 1100100 => 0010011 => 1101100
[8,2,4,1,7,5,6,3] => 1010101 => 1010101 => 0101010
[3,8,4,7,5,1,6,2] => 0101101 => 1011010 => 0100101
[8,4,3,6,1,7,5,2] => 1101011 => 1101011 => 0010100
[8,2,1,7,3,5,4,6] => 1101010 => 0101011 => 1010100
[5,8,6,3,1,7,4,2] => 0111011 => 1101110 => 0010001
[2,4,7,1,8,5,3,6] => 0010110 => 0110100 => 1001011
[2,4,8,5,1,6,3,7] => 0011010 => 0101100 => 1010011
[6,2,1,7,3,4,8,5] => 1101001 => 1001011 => 0110100
[6,2,1,7,8,3,5,4] => 1100101 => 1010011 => 0101100
[2,1,8,3,6,4,5,7] => 1010100 => 0010101 => 1101010
[3,2,1,6,7,4,5,8] => 1100100 => 0010011 => 1101100
[3,2,1,6,8,4,5,7] => 1100100 => 0010011 => 1101100
[2,1,8,3,7,4,5,6] => 1010100 => 0010101 => 1101010
[2,1,8,3,6,7,4,5] => 1010010 => 0100101 => 1011010
[2,4,8,5,1,6,7,3] => 0011001 => 1001100 => 0110011
[3,2,1,8,4,5,6,7] => 1101000 => 0001011 => 1110100
[1,6,8,3,7,2,4,5] => 0010100 => 0010100 => 1101011
[3,8,1,5,7,2,4,6] => 0100100 => 0010010 => 1101101
[1,2,6,8,4,7,3,5] => 0001010 => 0101000 => 1010111
[6,1,5,8,2,4,7,3] => 1001001 => 1001001 => 0110110
[1,2,4,8,3,6,7,5] => 0001001 => 1001000 => 0110111
[4,1,2,7,8,3,6,5] => 1000101 => 1010001 => 0101110
[3,5,7,4,8,6,1,2] => 0010110 => 0110100 => 1001011
[5,3,8,4,7,6,1,2] => 1010110 => 0110101 => 1001010
[8,7,1,2,5,4,6,3] => 1100101 => 1010011 => 0101100
[5,8,1,2,3,7,6,4] => 0100011 => 1100010 => 0011101
[1,2,8,4,3,5,7,6] => 0011001 => 1001100 => 0110011
[1,2,5,3,7,6,4,8] => 0010110 => 0110100 => 1001011
[6,1,2,8,7,4,5,3] => 1001101 => 1011001 => 0100110
[7,1,6,2,8,4,5,3] => 1010101 => 1010101 => 0101010
[1,2,6,3,8,5,4,7] => 0010110 => 0110100 => 1001011
[1,2,8,5,3,6,4,7] => 0011010 => 0101100 => 1010011
[1,2,7,3,8,5,4,6] => 0010110 => 0110100 => 1001011
[4,1,2,7,8,6,3,5] => 1000110 => 0110001 => 1001110
[1,6,2,8,4,3,5,7] => 0101100 => 0011010 => 1100101
[1,6,4,2,7,3,5,8] => 0110100 => 0010110 => 1101001
[1,8,6,3,2,4,5,7] => 0111000 => 0001110 => 1110001
[1,7,3,2,8,4,5,6] => 0110100 => 0010110 => 1101001
[3,1,7,8,6,2,4,5] => 1001100 => 0011001 => 1100110
[1,8,7,2,4,5,6,3] => 0110001 => 1000110 => 0111001
[1,8,7,3,5,6,2,4] => 0110010 => 0100110 => 1011001
[1,3,2,8,7,4,5,6] => 0101100 => 0011010 => 1100101
[1,8,3,2,6,4,5,7] => 0110100 => 0010110 => 1101001
[1,7,6,3,2,4,5,8] => 0111000 => 0001110 => 1110001
[1,2,8,4,3,7,5,6] => 0011010 => 0101100 => 1010011
[8,5,1,7,2,4,6,3] => 1101001 => 1001011 => 0110100
[5,3,8,7,4,6,1,2] => 1011010 => 0101101 => 1010010
[3,8,6,4,7,5,1,2] => 0110110 => 0110110 => 1001001
[6,1,8,2,7,4,5,3] => 1010101 => 1010101 => 0101010
[1,2,5,3,8,6,4,7] => 0010110 => 0110100 => 1001011
[1,2,7,5,3,6,4,8] => 0011010 => 0101100 => 1010011
[1,2,6,3,7,5,4,8] => 0010110 => 0110100 => 1001011
[1,2,3,7,5,4,8,6] => 0001101 => 1011000 => 0100111
[3,7,4,8,6,5,1,2] => 0101110 => 0111010 => 1000101
[1,8,2,7,6,4,5,3] => 0101101 => 1011010 => 0100101
[2,9,8,7,6,5,4,1,3] => 01111110 => 01111110 => 10000001
[2,8,7,6,5,1,4,3] => 0111101 => 1011110 => 0100001
[7,1,6,3,2,5,4,8] => 1011010 => 0101101 => 1010010
[2,7,6,3,1,5,8,4] => 0111001 => 1001110 => 0110001
[1,8,4,3,6,5,2,7] => 0110110 => 0110110 => 1001001
[1,8,4,6,5,3,2,7] => 0101110 => 0111010 => 1000101
[7,4,2,1,6,5,3,8] => 1110110 => 0110111 => 1001000
[7,6,1,4,3,5,2,8] => 1101010 => 0101011 => 1010100
[7,4,1,3,5,2,6,8] => 1100100 => 0010011 => 1101100
[7,3,1,2,4,6,5,8] => 1100010 => 0100011 => 1011100
[1,8,6,3,4,5,2,7] => 0110010 => 0100110 => 1011001
[1,8,6,7,4,2,5,3] => 0101101 => 1011010 => 0100101
[3,6,2,1,4,8,5,7] => 0110010 => 0100110 => 1011001
[3,1,7,2,4,6,8,5] => 1010001 => 1000101 => 0111010
[3,4,7,1,5,2,8,6] => 0010101 => 1010100 => 0101011
[3,6,7,4,1,5,8,2] => 0011001 => 1001100 => 0110011
[4,3,2,7,1,5,8,6] => 1101001 => 1001011 => 0110100
[3,1,2,8,6,5,4,7] => 1001110 => 0111001 => 1000110
[5,4,8,6,1,2,3,7] => 1011000 => 0001101 => 1110010
[5,6,8,7,4,3,1,2] => 0011110 => 0111100 => 1000011
[1,8,2,7,4,3,6,5] => 0101101 => 1011010 => 0100101
[6,5,8,2,3,7,1,4] => 1010010 => 0100101 => 1011010
[6,4,8,5,3,1,7,2] => 1011101 => 1011101 => 0100010
[5,7,8,6,1,3,2,4] => 0011010 => 0101100 => 1010011
[2,4,8,1,6,3,7,5] => 0010101 => 1010100 => 0101011
[3,1,2,8,6,4,7,5] => 1001101 => 1011001 => 0100110
[5,3,2,6,4,8,1,7] => 1101010 => 0101011 => 1010100
[4,1,6,3,5,8,2,7] => 1010010 => 0100101 => 1011010
[2,4,5,3,8,6,1,7] => 0010110 => 0110100 => 1001011
[1,8,5,3,2,7,6,4] => 0111011 => 1101110 => 0010001
[1,8,4,5,2,6,7,3] => 0101001 => 1001010 => 0110101
[4,1,2,7,6,5,8,3] => 1001101 => 1011001 => 0100110
[2,4,1,6,7,8,5,3] => 0100011 => 1100010 => 0011101
[1,8,4,3,6,2,7,5] => 0110101 => 1010110 => 0101001
[5,6,7,3,2,8,1,4] => 0011010 => 0101100 => 1010011
[2,5,7,3,6,8,4,1] => 0010011 => 1100100 => 0011011
[5,3,2,1,4,8,6,7] => 1110010 => 0100111 => 1011000
[5,3,1,4,2,8,6,7] => 1101010 => 0101011 => 1010100
[7,6,1,3,8,5,4,2] => 1100111 => 1110011 => 0001100
[3,4,7,8,1,2,6,5] => 0001001 => 1001000 => 0110111
[3,6,7,8,1,4,5,2] => 0001001 => 1001000 => 0110111
[3,6,2,8,1,5,4,7] => 0101010 => 0101010 => 1010101
[2,3,6,8,5,1,4,7] => 0001100 => 0011000 => 1100111
[3,1,6,4,8,2,5,7] => 1010100 => 0010101 => 1101010
[7,3,2,6,8,5,1,4] => 1100110 => 0110011 => 1001100
[7,3,5,8,4,6,1,2] => 1001010 => 0101001 => 1010110
[7,5,2,8,4,1,6,3] => 1101101 => 1011011 => 0100100
[7,4,5,8,2,1,3,6] => 1001100 => 0011001 => 1100110
[1,8,5,2,4,6,3,7] => 0110010 => 0100110 => 1011001
[1,8,4,2,3,5,7,6] => 0110001 => 1000110 => 0111001
[6,4,2,8,3,5,1,7] => 1101010 => 0101011 => 1010100
[6,3,4,8,2,5,7,1] => 1001001 => 1001001 => 0110110
[7,5,4,8,3,6,2,1] => 1101011 => 1101011 => 0010100
[2,7,4,8,5,3,6,1] => 0101101 => 1011010 => 0100101
[7,1,5,4,8,3,6,2] => 1010101 => 1010101 => 0101010
[7,3,2,5,8,4,6,1] => 1100101 => 1010011 => 0101100
[8,4,6,3,7,2,5,1] => 1010101 => 1010101 => 0101010
[7,4,6,3,8,5,1,2] => 1010110 => 0110101 => 1001010
[2,5,6,8,3,4,1,7] => 0001010 => 0101000 => 1010111
[8,4,6,2,7,5,3,1] => 1010111 => 1110101 => 0001010
[8,5,6,7,2,4,3,1] => 1001011 => 1101001 => 0010110
[2,5,6,8,4,3,1,7] => 0001110 => 0111000 => 1000111
[2,5,7,8,4,1,3,6] => 0001100 => 0011000 => 1100111
[6,5,7,8,4,1,3,2] => 1001101 => 1011001 => 0100110
[7,5,6,8,2,4,1,3] => 1001010 => 0101001 => 1010110
[7,4,6,2,8,5,1,3] => 1010110 => 0110101 => 1001010
[4,3,2,6,8,5,1,7] => 1100110 => 0110011 => 1001100
[3,5,6,8,2,4,1,7] => 0001010 => 0101000 => 1010111
[3,5,6,8,4,2,1,7] => 0001110 => 0111000 => 1000111
[2,6,7,8,1,4,5,3] => 0001001 => 1001000 => 0110111
[3,6,7,8,1,4,2,5] => 0001010 => 0101000 => 1010111
[3,5,7,8,2,1,4,6] => 0001100 => 0011000 => 1100111
[2,6,7,8,1,4,3,5] => 0001010 => 0101000 => 1010111
[6,5,7,8,3,1,4,2] => 1001101 => 1011001 => 0100110
[2,5,7,8,3,1,4,6] => 0001100 => 0011000 => 1100111
[2,4,7,3,8,1,5,6] => 0010100 => 0010100 => 1101011
[6,4,7,3,8,1,5,2] => 1010101 => 1010101 => 0101010
[6,4,7,3,8,1,2,5] => 1010100 => 0010101 => 1101010
[7,4,6,3,8,2,1,5] => 1010110 => 0110101 => 1001010
[6,3,2,5,4,8,1,7] => 1101010 => 0101011 => 1010100
[6,4,5,2,3,8,1,7] => 1010010 => 0100101 => 1011010
[6,4,5,3,2,8,1,7] => 1011010 => 0101101 => 1010010
[5,4,6,3,8,2,1,7] => 1010110 => 0110101 => 1001010
[5,4,7,3,8,1,6,2] => 1010101 => 1010101 => 0101010
[2,5,7,8,3,1,6,4] => 0001101 => 1011000 => 0100111
[4,5,7,8,3,1,2,6] => 0001100 => 0011000 => 1100111
[4,5,6,8,2,3,1,7] => 0001010 => 0101000 => 1010111
[5,4,6,2,8,3,1,7] => 1010110 => 0110101 => 1001010
[5,3,2,6,8,4,1,7] => 1100110 => 0110011 => 1001100
[5,4,7,2,8,1,3,6] => 1010100 => 0010101 => 1101010
[4,5,7,8,2,1,3,6] => 0001100 => 0011000 => 1100111
[4,6,7,8,1,3,2,5] => 0001010 => 0101000 => 1010111
[4,6,7,8,1,3,5,2] => 0001001 => 1001000 => 0110111
[2,6,7,8,1,3,5,4] => 0001001 => 1001000 => 0110111
[2,6,7,8,1,5,3,4] => 0001010 => 0101000 => 1010111
[4,6,7,8,1,5,2,3] => 0001010 => 0101000 => 1010111
[4,6,7,8,1,2,5,3] => 0001001 => 1001000 => 0110111
[4,5,7,8,2,1,6,3] => 0001101 => 1011000 => 0100111
[5,4,7,2,8,1,6,3] => 1010101 => 1010101 => 0101010
[5,3,2,7,8,1,6,4] => 1100101 => 1010011 => 0101100
[4,3,2,7,8,1,6,5] => 1100101 => 1010011 => 0101100
[3,5,7,8,2,1,6,4] => 0001101 => 1011000 => 0100111
[3,6,7,8,1,2,5,4] => 0001001 => 1001000 => 0110111
[3,6,7,8,1,5,2,4] => 0001010 => 0101000 => 1010111
[3,6,7,8,1,5,4,2] => 0001011 => 1101000 => 0010111
[2,6,7,8,1,5,4,3] => 0001011 => 1101000 => 0010111
[2,3,4,5,6,7,8,9,10,1,11] => 0000000010 => 0100000000 => 1011111111
[3,4,5,6,7,8,9,1,2,10] => 000000100 => 001000000 => 110111111
[2,4,5,6,7,8,1,3,9] => 00000100 => 00100000 => 11011111
[3,4,5,6,7,1,8,2,9] => 00001010 => 01010000 => 10101111
[1,3,5,6,7,8,9,2,4] => 00000010 => 01000000 => 10111111
[1,4,5,6,7,8,2,9,3] => 00000101 => 10100000 => 01011111
[1,4,5,6,7,8,9,10,2,3] => 000000010 => 010000000 => 101111111
[1,3,4,5,6,7,8,9,10,11,2] => 0000000001 => 1000000000 => 0111111111
[4,2,7,1,5,3,8,6] => 1010101 => 1010101 => 0101010
[4,2,8,6,1,5,3,7] => 1011010 => 0101101 => 1010010
[3,2,6,7,5,1,4,8] => 1001100 => 0011001 => 1100110
[2,7,1,3,5,4,8,6] => 0100101 => 1010010 => 0101101
[4,7,2,1,5,8,6,3] => 0110011 => 1100110 => 0011001
[7,2,1,3,5,8,6,4] => 1100011 => 1100011 => 0011100
[2,3,6,4,7,1,5,8] => 0010100 => 0010100 => 1101011
[1,3,4,8,2,7,5,6] => 0001010 => 0101000 => 1010111
[3,1,4,8,2,6,7,5] => 1001001 => 1001001 => 0110110
[8,3,1,6,2,5,7,4] => 1101001 => 1001011 => 0110100
[4,8,6,2,1,5,7,3] => 0111001 => 1001110 => 0110001
[4,8,3,6,5,1,7,2] => 0101101 => 1011010 => 0100101
[6,4,7,3,5,1,8,2] => 1010101 => 1010101 => 0101010
[6,4,7,5,1,8,2,3] => 1011010 => 0101101 => 1010010
[3,6,1,7,5,8,2,4] => 0101010 => 0101010 => 1010101
[7,3,5,1,6,8,2,4] => 1010010 => 0100101 => 1011010
[4,7,3,5,6,1,8,2] => 0100101 => 1010010 => 0101101
[3,4,6,8,5,1,7,2] => 0001101 => 1011000 => 0100111
[4,6,8,2,1,5,7,3] => 0011001 => 1001100 => 0110011
[6,8,2,1,3,5,7,4] => 0110001 => 1000110 => 0111001
[1,8,2,3,5,7,4,6] => 0100010 => 0100010 => 1011101
[2,7,3,6,1,4,5,8] => 0101000 => 0001010 => 1110101
[2,6,1,3,5,8,4,7] => 0100010 => 0100010 => 1011101
[7,3,2,5,6,1,4,8] => 1100100 => 0010011 => 1101100
[4,7,5,2,6,1,3,8] => 0110100 => 0010110 => 1101001
[4,6,2,8,1,5,3,7] => 0101010 => 0101010 => 1010101
[8,4,1,2,7,5,3,6] => 1100110 => 0110011 => 1001100
[4,5,6,2,7,1,3,8] => 0010100 => 0010100 => 1101011
[8,5,1,2,6,3,4,7] => 1100100 => 0010011 => 1101100
[1,6,2,7,4,8,3,5] => 0101010 => 0101010 => 1010101
[6,2,1,7,8,5,3,4] => 1100110 => 0110011 => 1001100
[6,7,3,8,4,1,5,2] => 0101101 => 1011010 => 0100101
[2,7,8,4,1,5,6,3] => 0011001 => 1001100 => 0110011
[2,7,1,8,5,6,3,4] => 0101010 => 0101010 => 1010101
[8,2,5,1,6,7,3,4] => 1010010 => 0100101 => 1011010
[8,2,4,5,1,6,7,3] => 1001001 => 1001001 => 0110110
[3,8,4,5,6,1,7,2] => 0100101 => 1010010 => 0101101
[4,5,8,3,6,7,1,2] => 0010010 => 0100100 => 1011011
[4,5,8,3,7,6,1,2] => 0010110 => 0110100 => 1001011
[4,2,8,3,7,1,6,5] => 1010101 => 1010101 => 0101010
[7,2,3,4,8,1,6,5] => 1000101 => 1010001 => 0101110
[7,2,3,4,8,1,5,6] => 1000100 => 0010001 => 1101110
[7,6,3,4,8,5,1,2] => 1100110 => 0110011 => 1001100
[7,6,3,5,8,4,1,2] => 1100110 => 0110011 => 1001100
[7,6,3,8,4,5,1,2] => 1101010 => 0101011 => 1010100
[7,2,3,8,5,1,4,6] => 1001100 => 0011001 => 1100110
[7,2,3,8,5,1,6,4] => 1001101 => 1011001 => 0100110
[2,6,4,8,1,5,7,3] => 0101001 => 1001010 => 0110101
[7,2,3,8,4,1,5,6] => 1001100 => 0011001 => 1100110
[7,2,3,5,8,1,4,6] => 1000100 => 0010001 => 1101110
[7,8,2,3,6,1,4,5] => 0100100 => 0010010 => 1101101
[7,8,2,3,6,1,5,4] => 0100101 => 1010010 => 0101101
[4,2,6,3,7,1,5,8] => 1010100 => 0010101 => 1101010
[7,2,3,5,8,1,6,4] => 1000101 => 1010001 => 0101110
[7,2,3,8,4,1,6,5] => 1001101 => 1011001 => 0100110
[2,6,4,8,1,3,7,5] => 0101001 => 1001010 => 0110101
[3,6,4,8,1,7,5,2] => 0101011 => 1101010 => 0010101
[7,6,5,1,2,3,8,4] => 1110001 => 1000111 => 0111000
[7,6,5,1,4,2,8,3] => 1110101 => 1010111 => 0101000
[2,6,4,5,1,8,7,3] => 0101011 => 1101010 => 0010101
[3,5,6,4,1,2,7,8] => 0011000 => 0001100 => 1110011
[7,8,5,4,1,2,6,3] => 0111001 => 1001110 => 0110001
[3,5,6,4,1,2,8,7] => 0011001 => 1001100 => 0110011
[7,6,5,1,4,2,3,8] => 1110100 => 0010111 => 1101000
[7,6,5,1,2,4,3,8] => 1110010 => 0100111 => 1011000
[7,6,5,1,2,4,8,3] => 1110001 => 1000111 => 0111000
[7,6,5,1,3,2,8,4] => 1110101 => 1010111 => 0101000
[7,6,5,1,3,2,4,8] => 1110100 => 0010111 => 1101000
[7,6,5,1,3,4,2,8] => 1110010 => 0100111 => 1011000
[7,2,3,4,5,1,8,6] => 1000101 => 1010001 => 0101110
[2,6,4,3,1,5,8,7] => 0111001 => 1001110 => 0110001
[2,6,4,3,1,8,5,7] => 0111010 => 0101110 => 1010001
[2,6,4,3,1,8,7,5] => 0111011 => 1101110 => 0010001
[3,5,8,4,1,2,7,6] => 0011001 => 1001100 => 0110011
[3,5,8,4,1,2,6,7] => 0011000 => 0001100 => 1110011
[3,5,8,4,1,6,2,7] => 0011010 => 0101100 => 1010011
[4,2,8,3,6,1,7,5] => 1010101 => 1010101 => 0101010
[3,5,8,4,1,6,7,2] => 0011001 => 1001100 => 0110011
[2,5,8,4,1,7,3,6] => 0011010 => 0101100 => 1010011
[3,6,4,2,1,7,8,5] => 0111001 => 1001110 => 0110001
[3,6,4,2,1,7,5,8] => 0111010 => 0101110 => 1010001
[3,5,6,4,1,8,7,2] => 0011011 => 1101100 => 0010011
[2,6,4,5,1,3,7,8] => 0101000 => 0001010 => 1110101
[7,6,5,1,4,3,8,2] => 1110101 => 1010111 => 0101000
[7,6,5,1,2,8,4,3] => 1110011 => 1100111 => 0011000
[7,6,5,1,2,8,3,4] => 1110010 => 0100111 => 1011000
[7,6,5,1,8,2,4,3] => 1110101 => 1010111 => 0101000
[7,6,5,1,8,2,3,4] => 1110100 => 0010111 => 1101000
[7,6,5,1,8,3,2,4] => 1110110 => 0110111 => 1001000
[7,6,5,1,4,8,2,3] => 1110010 => 0100111 => 1011000
[3,6,4,5,1,7,2,8] => 0101010 => 0101010 => 1010101
[2,5,6,4,1,7,8,3] => 0011001 => 1001100 => 0110011
[7,8,5,4,1,6,3,2] => 0111011 => 1101110 => 0010001
[2,5,6,4,1,7,3,8] => 0011010 => 0101100 => 1010011
[3,6,4,5,1,7,8,2] => 0101001 => 1001010 => 0110101
[7,6,5,1,4,8,3,2] => 1110011 => 1100111 => 0011000
[7,6,5,1,8,3,4,2] => 1110101 => 1010111 => 0101000
[7,6,5,1,8,4,2,3] => 1110110 => 0110111 => 1001000
[4,1,7,6,2,8,5,3] => 1011011 => 1101101 => 0010010
[7,8,6,2,1,3,5,4] => 0111001 => 1001110 => 0110001
[3,7,6,1,2,8,4,5] => 0110010 => 0100110 => 1011001
[2,6,5,3,1,4,8,7] => 0111001 => 1001110 => 0110001
[4,6,1,5,3,2,8,7] => 0101101 => 1011010 => 0100101
[3,6,1,4,2,5,8,7] => 0101001 => 1001010 => 0110101
[2,6,4,5,7,8,1,3] => 0100010 => 0100010 => 1011101
[8,7,1,6,5,2,4,3] => 1101101 => 1011011 => 0100100
[7,2,5,6,8,1,3,4] => 1000100 => 0010001 => 1101110
[6,1,3,4,2,8,7,5] => 1001011 => 1101001 => 0010110
[2,4,5,6,1,8,7,3] => 0001011 => 1101000 => 0010111
[8,4,1,6,5,7,3,2] => 1101011 => 1101011 => 0010100
[2,8,3,4,7,5,1,6] => 0100110 => 0110010 => 1001101
[6,8,2,7,4,3,5,1] => 0101101 => 1011010 => 0100101
[4,7,8,5,1,6,3,2] => 0011011 => 1101100 => 0010011
[8,2,6,4,7,3,5,1] => 1010101 => 1010101 => 0101010
[4,8,6,1,7,3,2,5] => 0110110 => 0110110 => 1001001
[8,7,3,2,1,5,4,6] => 1111010 => 0101111 => 1010000
[3,8,5,1,7,2,4,6] => 0110100 => 0010110 => 1101001
[6,8,7,1,3,2,4,5] => 0110100 => 0010110 => 1101001
[2,5,1,8,7,4,6,3] => 0101101 => 1011010 => 0100101
[3,7,1,8,4,5,6,2] => 0101001 => 1001010 => 0110101
[6,2,3,8,4,7,5,1] => 1001011 => 1101001 => 0010110
[8,6,4,3,1,7,2,5] => 1111010 => 0101111 => 1010000
[8,3,7,4,6,1,2,5] => 1010100 => 0010101 => 1101010
[7,1,3,8,6,4,5,2] => 1001101 => 1011001 => 0100110
[2,3,5,8,6,7,4,1] => 0001011 => 1101000 => 0010111
[7,4,2,1,8,6,5,3] => 1110111 => 1110111 => 0001000
[4,6,7,2,5,8,3,1] => 0010011 => 1100100 => 0011011
[7,6,2,5,3,8,1,4] => 1101010 => 0101011 => 1010100
[6,2,1,3,4,8,7,5] => 1100011 => 1100011 => 0011100
[6,5,4,2,8,3,1,7] => 1110110 => 0110111 => 1001000
[5,4,3,1,8,7,2,6] => 1110110 => 0110111 => 1001000
[6,1,4,3,8,5,2,7] => 1010110 => 0110101 => 1001010
[4,7,6,2,8,1,5,3] => 0110101 => 1010110 => 0101001
[6,4,5,1,7,8,3,2] => 1010011 => 1100101 => 0011010
[4,2,3,1,7,8,6,5] => 1010011 => 1100101 => 0011010
[3,4,2,1,8,6,7,5] => 0110101 => 1010110 => 0101001
[2,7,6,8,1,5,3,4] => 0101010 => 0101010 => 1010101
[6,4,5,8,3,1,2,7] => 1001100 => 0011001 => 1100110
[8,1,3,2,5,6,7,4] => 1010001 => 1000101 => 0111010
[3,6,8,1,5,2,4,7] => 0010100 => 0010100 => 1101011
[3,2,8,7,4,5,1,6] => 1011010 => 0101101 => 1010010
[6,3,8,5,7,4,2,1] => 1010111 => 1110101 => 0001010
[7,4,6,8,5,1,2,3] => 1001100 => 0011001 => 1100110
[2,1,4,8,7,5,3,6] => 1001110 => 0111001 => 1000110
[2,1,6,8,3,7,5,4] => 1001011 => 1101001 => 0010110
[3,6,8,2,4,1,5,7] => 0010100 => 0010100 => 1101011
[6,2,8,1,7,5,4,3] => 1010111 => 1110101 => 0001010
[2,6,5,4,8,1,3,7] => 0110100 => 0010110 => 1101001
[6,5,3,4,8,1,7,2] => 1100101 => 1010011 => 0101100
[8,4,3,2,5,1,7,6] => 1110101 => 1010111 => 0101000
[4,2,8,1,5,3,6,7] => 1010100 => 0010101 => 1101010
[5,1,8,2,6,4,3,7] => 1010110 => 0110101 => 1001010
[7,4,8,6,2,1,3,5] => 1011100 => 0011101 => 1100010
[4,6,2,8,3,7,5,1] => 0101011 => 1101010 => 0010101
[2,1,5,8,3,6,4,7] => 1001010 => 0101001 => 1010110
[2,8,5,3,6,7,1,4] => 0110010 => 0100110 => 1011001
[7,8,5,6,4,1,3,2] => 0101101 => 1011010 => 0100101
[5,8,4,1,6,3,7,2] => 0110101 => 1010110 => 0101001
[4,8,1,3,5,7,6,2] => 0100011 => 1100010 => 0011101
[3,8,1,4,5,6,2,7] => 0100010 => 0100010 => 1011101
[9,7,8,5,6,3,1,4,2] => 10101101 => 10110101 => 01001010
[9,7,8,5,3,6,1,4,2] => 10110101 => 10101101 => 01010010
[9,7,5,8,3,6,1,4,2] => 11010101 => 10101011 => 01010100
[7,9,5,8,3,6,1,4,2] => 01010101 => 10101010 => 01010101
[7,6,8,3,5,1,4,2] => 1010101 => 1010101 => 0101010
[8,9,5,7,3,6,1,4,2] => 01010101 => 10101010 => 01010101
[8,9,6,7,3,5,1,4,2] => 01010101 => 10101010 => 01010101
[8,9,6,7,4,5,1,3,2] => 01010101 => 10101010 => 01010101
[8,9,6,7,4,5,2,3,1] => 01010101 => 10101010 => 01010101
[9,10,7,8,5,6,3,1,4,2] => 010101101 => 101101010 => 010010101
[9,7,8,5,3,1,6,4,2] => 10111011 => 11011101 => 00100010
[9,10,7,8,5,3,6,1,4,2] => 010110101 => 101011010 => 010100101
[9,7,5,3,8,6,1,4,2] => 11101101 => 10110111 => 01001000
[9,10,7,5,8,3,6,1,4,2] => 011010101 => 101010110 => 010101001
[7,5,9,8,3,6,1,4,2] => 10110101 => 10101101 => 01010010
[9,7,10,5,8,3,6,1,4,2] => 101010101 => 101010101 => 010101010
[7,8,6,3,5,1,4,2] => 0110101 => 1010110 => 0101001
[5,3,8,7,6,1,4,2] => 1011101 => 1011101 => 0100010
[9,8,5,7,3,6,1,4,2] => 11010101 => 10101011 => 01010100
[10,7,9,5,8,3,6,1,4,2] => 101010101 => 101010101 => 010101010
[7,9,6,8,3,5,1,4,2] => 01010101 => 10101010 => 01010101
[10,8,9,5,7,3,6,1,4,2] => 101010101 => 101010101 => 010101010
[6,5,8,4,7,1,3,2] => 1010101 => 1010101 => 0101010
[8,9,5,7,4,6,1,3,2] => 01010101 => 10101010 => 01010101
[10,8,9,6,7,3,5,1,4,2] => 101010101 => 101010101 => 010101010
[8,9,6,7,3,5,2,4,1] => 01010101 => 10101010 => 01010101
[10,8,9,6,7,4,5,1,3,2] => 101010101 => 101010101 => 010101010
[6,7,4,2,5,3,1,8] => 0110110 => 0110110 => 1001001
[7,6,4,8,3,1,5,2] => 1101101 => 1011011 => 0100100
[7,4,8,5,6,1,3,2] => 1010101 => 1010101 => 0101010
[7,4,2,5,6,3,1,8] => 1100110 => 0110011 => 1001100
[4,2,7,5,6,3,1,8] => 1010110 => 0110101 => 1001010
[3,4,7,5,6,2,1,8] => 0010110 => 0110100 => 1001011
[4,7,3,5,6,2,1,8] => 0100110 => 0110010 => 1001101
[3,7,2,5,6,4,1,8] => 0100110 => 0110010 => 1001101
[7,8,3,5,6,1,4,2] => 0100101 => 1010010 => 0101101
[1,6,8,5,2,7,4,3] => 0011011 => 1101100 => 0010011
[6,2,8,5,1,7,4,3] => 1011011 => 1101101 => 0010010
[6,7,4,8,2,1,5,3] => 0101101 => 1011010 => 0100101
[3,2,7,8,6,1,5,4] => 1001101 => 1011001 => 0100110
[6,8,4,1,2,3,7,5] => 0110001 => 1000110 => 0111001
[4,1,8,5,6,3,2,7] => 1010110 => 0110101 => 1001010
[1,8,2,5,6,4,3,7] => 0100110 => 0110010 => 1001101
[6,1,8,5,3,7,4,2] => 1011011 => 1101101 => 0010010
[3,8,1,5,2,7,6,4] => 0101011 => 1101010 => 0010101
[8,2,1,5,3,7,6,4] => 1101011 => 1101011 => 0010100
[1,5,2,4,6,7,8,3] => 0100001 => 1000010 => 0111101
[4,1,5,3,6,7,8,2] => 1010001 => 1000101 => 0111010
[8,1,6,5,3,7,2,4] => 1011010 => 0101101 => 1010010
[7,1,4,6,3,2,8,5] => 1001101 => 1011001 => 0100110
[3,2,6,4,1,7,8,5] => 1011001 => 1001101 => 0110010
[7,6,4,3,1,2,8,5] => 1111001 => 1001111 => 0110000
[8,6,3,5,1,7,2,4] => 1101010 => 0101011 => 1010100
[4,5,3,1,6,7,8,2] => 0110001 => 1000110 => 0111001
[3,5,2,1,6,7,8,4] => 0110001 => 1000110 => 0111001
[5,2,3,1,6,7,8,4] => 1010001 => 1000101 => 0111010
[1,5,3,2,6,7,8,4] => 0110001 => 1000110 => 0111001
[8,4,6,5,1,7,2,3] => 1011010 => 0101101 => 1010010
[7,5,4,6,1,2,8,3] => 1101001 => 1001011 => 0110100
[3,2,5,6,1,7,8,4] => 1001001 => 1001001 => 0110110
[3,2,8,7,6,1,4,5] => 1011100 => 0011101 => 1100010
[6,8,4,7,2,1,3,5] => 0101100 => 0011010 => 1100101
[3,8,7,5,6,1,2,4] => 0110100 => 0010110 => 1101001
[8,2,7,5,6,1,3,4] => 1010100 => 0010101 => 1101010
[4,8,6,5,1,7,3,2] => 0111011 => 1101110 => 0010001
[1,7,4,6,2,3,8,5] => 0101001 => 1001010 => 0110101
[7,6,4,2,1,5,8,3] => 1111001 => 1001111 => 0110000
[5,7,4,6,1,3,8,2] => 0101001 => 1001010 => 0110101
[8,6,4,7,3,1,2,5] => 1101100 => 0011011 => 1100100
[5,2,4,3,7,1,8,6] => 1010101 => 1010101 => 0101010
[3,5,4,2,7,1,8,6] => 0110101 => 1010110 => 0101001
[8,6,4,1,3,5,2,7] => 1110010 => 0100111 => 1011000
[6,7,4,1,5,3,8,2] => 0110101 => 1010110 => 0101001
[7,5,4,1,2,6,8,3] => 1110001 => 1000111 => 0111000
[1,7,4,2,3,6,8,5] => 0110001 => 1000110 => 0111001
[1,8,2,5,3,7,6,4] => 0101011 => 1101010 => 0010101
[6,8,1,5,4,7,3,2] => 0101011 => 1101010 => 0010101
[8,2,1,5,6,4,3,7] => 1100110 => 0110011 => 1001100
[3,8,1,5,6,4,2,7] => 0100110 => 0110010 => 1001101
[6,8,4,1,2,5,3,7] => 0110010 => 0100110 => 1011001
[3,2,8,1,6,5,4,7] => 1010110 => 0110101 => 1001010
[3,2,6,1,5,7,8,4] => 1010001 => 1000101 => 0111010
[7,6,4,1,5,2,8,3] => 1110101 => 1010111 => 0101000
[8,6,1,5,4,7,2,3] => 1101010 => 0101011 => 1010100
[3,5,1,4,6,7,8,2] => 0100001 => 1000010 => 0111101
[5,2,1,4,6,7,8,3] => 1100001 => 1000011 => 0111100
[5,4,1,3,6,7,8,2] => 1100001 => 1000011 => 0111100
[8,4,1,5,3,7,2,6] => 1101010 => 0101011 => 1010100
[7,5,4,1,3,2,8,6] => 1110101 => 1010111 => 0101000
[3,2,5,1,4,7,8,6] => 1010001 => 1000101 => 0111010
[7,1,4,3,5,2,8,6] => 1010101 => 1010101 => 0101010
[8,1,3,5,4,7,2,6] => 1001010 => 0101001 => 1010110
[5,1,3,4,6,7,8,2] => 1000001 => 1000001 => 0111110
[3,1,8,2,5,7,4,6] => 1010010 => 0100101 => 1011010
[8,3,2,6,1,4,7,5] => 1101001 => 1001011 => 0110100
[2,8,1,6,4,3,7,5] => 0101101 => 1011010 => 0100101
[2,6,1,3,8,7,5,4] => 0100111 => 1110010 => 0001101
[2,5,7,1,3,8,6,4] => 0010011 => 1100100 => 0011011
[2,6,8,1,5,7,4,3] => 0010011 => 1100100 => 0011011
[2,7,1,5,8,4,6,3] => 0100101 => 1010010 => 0101101
[2,7,1,6,4,8,3,5] => 0101010 => 0101010 => 1010101
[2,7,1,6,5,3,8,4] => 0101101 => 1011010 => 0100101
[2,8,1,7,6,5,4,3] => 0101111 => 1111010 => 0000101
[8,3,2,7,1,6,5,4] => 1101011 => 1101011 => 0010100
[4,1,8,7,3,2,6,5] => 1011101 => 1011101 => 0100010
[4,1,7,2,8,6,5,3] => 1010111 => 1110101 => 0001010
[3,7,1,8,6,5,4,2] => 0101111 => 1111010 => 0000101
[3,7,6,1,4,2,5,8] => 0110100 => 0010110 => 1101001
[3,7,5,1,4,6,8,2] => 0110001 => 1000110 => 0111001
[3,6,8,5,1,4,7,2] => 0011001 => 1001100 => 0110011
[7,3,5,8,2,1,4,6] => 1001100 => 0011001 => 1100110
[7,3,6,2,1,4,5,8] => 1011000 => 0001101 => 1110010
[7,3,6,2,1,5,4,8] => 1011010 => 0101101 => 1010010
[7,4,2,8,1,6,5,3] => 1101011 => 1101011 => 0010100
[8,7,5,3,2,1,6,4] => 1111101 => 1011111 => 0100000
[7,5,2,6,3,1,4,8] => 1101100 => 0011011 => 1100100
[7,4,6,2,1,8,3,5] => 1011010 => 0101101 => 1010010
[6,8,4,5,2,1,7,3] => 0101101 => 1011010 => 0100101
[4,6,8,5,1,7,3,2] => 0011011 => 1101100 => 0010011
[4,7,5,1,3,8,6,2] => 0110011 => 1100110 => 0011001
[4,7,6,1,5,3,2,8] => 0110110 => 0110110 => 1001001
[5,1,7,6,3,8,2,4] => 1011010 => 0101101 => 1010010
[5,1,7,6,4,2,8,3] => 1011101 => 1011101 => 0100010
[5,1,8,7,6,4,3,2] => 1011111 => 1111101 => 0000010
[8,5,2,1,7,6,4,3] => 1110111 => 1110111 => 0001000
[8,5,2,1,6,3,7,4] => 1110101 => 1010111 => 0101000
[5,1,8,6,3,2,7,4] => 1011101 => 1011101 => 0100010
[3,6,1,7,4,8,2,5] => 0101010 => 0101010 => 1010101
[4,1,8,6,3,7,2,5] => 1011010 => 0101101 => 1010010
[8,4,2,5,7,3,1,6] => 1100110 => 0110011 => 1001100
[3,4,6,8,5,7,1,2] => 0001010 => 0101000 => 1010111
[5,4,8,2,7,3,6,1] => 1010101 => 1010101 => 0101010
[5,4,8,7,3,6,1,2] => 1011010 => 0101101 => 1010010
[8,5,4,7,3,6,2,1] => 1101011 => 1101011 => 0010100
[6,4,3,8,7,1,2,5] => 1101100 => 0011011 => 1100100
[6,3,7,2,4,8,1,5] => 1010010 => 0100101 => 1011010
[5,6,8,4,2,7,3,1] => 0011011 => 1101100 => 0010011
[5,7,4,2,8,1,3,6] => 0110100 => 0010110 => 1101001
[6,5,2,7,1,3,8,4] => 1101001 => 1001011 => 0110100
[8,6,5,4,2,1,7,3] => 1111101 => 1011111 => 0100000
[6,4,7,3,1,8,2,5] => 1011010 => 0101101 => 1010010
[5,7,4,3,8,6,1,2] => 0110110 => 0110110 => 1001001
[7,5,8,4,6,3,2,1] => 1010111 => 1110101 => 0001010
[7,6,4,8,3,5,2,1] => 1101011 => 1101011 => 0010100
[7,6,5,3,8,2,4,1] => 1110101 => 1010111 => 0101000
[6,5,4,3,2,1,9,8,7] => 11111011 => 11011111 => 00100000
[6,5,4,3,2,1,8,7,9] => 11111010 => 01011111 => 10100000
[5,4,3,2,1,9,8,7,6] => 11110111 => 11101111 => 00010000
[5,4,3,2,1,8,7,6,9] => 11110110 => 01101111 => 10010000
[5,4,3,2,1,7,6,9,8] => 11110101 => 10101111 => 01010000
[5,4,3,2,1,7,6,8,9] => 11110100 => 00101111 => 11010000
[4,3,2,1,8,7,6,5,9] => 11101110 => 01110111 => 10001000
[4,3,2,1,7,6,5,9,8] => 11101101 => 10110111 => 01001000
[4,3,2,1,7,6,5,8,9] => 11101100 => 00110111 => 11001000
[4,3,2,1,6,5,8,7,9] => 11101010 => 01010111 => 10101000
[4,3,2,1,6,5,7,8,9] => 11101000 => 00010111 => 11101000
[3,2,1,6,5,4,8,7,9] => 11011010 => 01011011 => 10100100
[3,2,1,6,5,4,7,8,9] => 11011000 => 00011011 => 11100100
[3,2,1,5,4,7,6,9,8] => 11010101 => 10101011 => 01010100
[3,2,1,5,4,7,6,8,9] => 11010100 => 00101011 => 11010100
[3,2,1,5,4,6,7,8,9] => 11010000 => 00001011 => 11110100
[2,1,4,3,6,5,7,8,9] => 10101000 => 00010101 => 11101010
[2,1,4,3,5,6,7,8,9] => 10100000 => 00000101 => 11111010
[7,6,5,4,3,2,1,10,9,8] => 111111011 => 110111111 => 001000000
[7,6,5,4,3,2,1,9,8,10] => 111111010 => 010111111 => 101000000
[6,5,4,3,2,1,9,8,7,10] => 111110110 => 011011111 => 100100000
[6,5,4,3,2,1,8,7,9,10] => 111110100 => 001011111 => 110100000
[5,4,3,2,1,9,8,7,6,10] => 111101110 => 011101111 => 100010000
[5,4,3,2,1,8,7,6,10,9] => 111101101 => 101101111 => 010010000
[5,4,3,2,1,8,7,6,9,10] => 111101100 => 001101111 => 110010000
[5,4,3,2,1,7,6,9,8,10] => 111101010 => 010101111 => 101010000
[5,4,3,2,1,7,6,8,9,10] => 111101000 => 000101111 => 111010000
[4,3,2,1,8,7,6,5,9,10] => 111011100 => 001110111 => 110001000
[4,3,2,1,7,6,5,10,9,8] => 111011011 => 110110111 => 001001000
[4,3,2,1,7,6,5,8,9,10] => 111011000 => 000110111 => 111001000
[4,3,2,1,6,5,8,7,9,10] => 111010100 => 001010111 => 110101000
[4,3,2,1,6,5,7,8,9,10] => 111010000 => 000010111 => 111101000
[3,2,1,6,5,4,9,8,7,10] => 110110110 => 011011011 => 100100100
[3,2,1,6,5,4,8,7,10,9] => 110110101 => 101011011 => 010100100
[3,2,1,6,5,4,8,7,9,10] => 110110100 => 001011011 => 110100100
[3,2,1,6,5,4,7,8,9,10] => 110110000 => 000011011 => 111100100
[3,2,1,5,4,7,6,9,8,10] => 110101010 => 010101011 => 101010100
[3,2,1,5,4,7,6,8,9,10] => 110101000 => 000101011 => 111010100
[3,2,1,5,4,6,7,8,9,10] => 110100000 => 000001011 => 111110100
[2,1,4,3,6,5,8,7,9,10] => 101010100 => 001010101 => 110101010
[2,1,4,3,6,5,7,8,9,10] => 101010000 => 000010101 => 111101010
[2,1,4,3,5,6,7,8,9,10] => 101000000 => 000000101 => 111111010
[5,6,3,7,4,2,1,8] => 0101110 => 0111010 => 1000101
[7,6,3,8,5,1,4,2] => 1101101 => 1011011 => 0100100
[6,4,8,1,3,2,5,7] => 1010100 => 0010101 => 1101010
[7,4,8,6,3,1,5,2] => 1011101 => 1011101 => 0100010
[4,2,7,6,5,3,1,8] => 1011110 => 0111101 => 1000010
[3,7,2,4,6,5,1,8] => 0100110 => 0110010 => 1001101
[8,1,3,4,5,2,6,7] => 1000100 => 0010001 => 1101110
[1,6,8,4,2,5,3,7] => 0011010 => 0101100 => 1010011
[6,2,8,4,1,5,7,3] => 1011001 => 1001101 => 0110010
[6,7,4,8,5,1,2,3] => 0101100 => 0011010 => 1100101
[3,2,7,8,5,1,6,4] => 1001101 => 1011001 => 0100110
[3,2,8,1,5,4,6,7] => 1010100 => 0010101 => 1101010
[6,1,4,8,5,3,7,2] => 1001101 => 1011001 => 0100110
[1,4,8,5,2,6,7,3] => 0011001 => 1001100 => 0110011
[6,1,8,4,3,7,2,5] => 1011010 => 0101101 => 1010010
[3,7,1,4,2,5,8,6] => 0101001 => 1001010 => 0110101
[7,2,1,4,3,5,6,8] => 1101000 => 0001011 => 1110100
[4,1,5,3,6,8,2,7] => 1010010 => 0100101 => 1011010
[6,1,8,5,3,2,7,4] => 1011101 => 1011101 => 0100010
[7,1,4,6,3,8,5,2] => 1001011 => 1101001 => 0010110
[3,2,6,4,1,8,7,5] => 1011011 => 1101101 => 0010010
[7,6,4,3,1,8,2,5] => 1111010 => 0101111 => 1010000
[3,5,2,1,8,7,6,4] => 0110111 => 1110110 => 0001001
[1,5,3,2,8,6,4,7] => 0110110 => 0110110 => 1001001
[5,4,2,1,7,8,6,3] => 1110011 => 1100111 => 0011000
[8,2,7,6,5,1,3,4] => 1011100 => 0011101 => 1100010
[8,6,2,7,1,4,5,3] => 1101001 => 1001011 => 0110100
[1,7,3,6,2,8,5,4] => 0101011 => 1101010 => 0010101
[7,6,3,2,1,8,5,4] => 1111011 => 1101111 => 0010000
[8,6,3,7,4,1,2,5] => 1101100 => 0011011 => 1100100
[5,2,3,4,7,1,8,6] => 1000101 => 1010001 => 0101110
[8,6,3,1,4,5,7,2] => 1110001 => 1000111 => 0111000
[6,7,3,1,5,4,2,8] => 0110110 => 0110110 => 1001001
[5,8,3,1,2,4,7,6] => 0110001 => 1000110 => 0111001
[8,1,3,2,4,5,6,7] => 1010000 => 0000101 => 1111010
[8,4,1,7,2,3,6,5] => 1101001 => 1001011 => 0110100
[8,2,1,6,5,4,7,3] => 1101101 => 1011011 => 0100100
[3,8,1,5,6,4,7,2] => 0100101 => 1010010 => 0101101
[6,8,4,1,2,5,7,3] => 0110001 => 1000110 => 0111001
[3,2,8,1,6,5,7,4] => 1010101 => 1010101 => 0101010
[7,6,4,1,5,2,3,8] => 1110100 => 0010111 => 1101000
[8,6,1,5,4,7,3,2] => 1101011 => 1101011 => 0010100
[3,5,1,4,6,7,2,8] => 0100010 => 0100010 => 1011101
[5,2,1,4,7,6,3,8] => 1100110 => 0110011 => 1001100
[4,5,8,2,1,3,7,6] => 0011001 => 1001100 => 0110011
[5,8,2,3,1,4,6,7] => 0101000 => 0001010 => 1110101
[4,2,1,3,5,8,7,6] => 1100011 => 1100011 => 0011100
[5,4,1,3,6,2,8,7] => 1100101 => 1010011 => 0101100
[8,5,4,1,3,6,2,7] => 1110010 => 0100111 => 1011000
[3,2,5,1,4,6,8,7] => 1010001 => 1000101 => 0111010
[8,1,4,3,5,6,7,2] => 1010001 => 1000101 => 0111010
[7,1,3,5,4,6,2,8] => 1001010 => 0101001 => 1010110
[5,1,3,4,6,2,7,8] => 1000100 => 0010001 => 1101110
[4,1,3,2,5,7,6,8] => 1010010 => 0100101 => 1011010
[3,1,4,2,6,5,8,7,9] => 10101010 => 01010101 => 10101010
[3,1,5,2,6,4,8,7,9] => 10101010 => 01010101 => 10101010
[3,1,5,2,7,4,8,6,9] => 10101010 => 01010101 => 10101010
[3,1,5,2,7,4,6,9,8] => 10101001 => 10010101 => 01101010
[3,1,5,2,4,7,6,9,8] => 10100101 => 10100101 => 01011010
[3,1,2,5,4,7,6,9,8] => 10010101 => 10101001 => 01010110
[3,1,4,2,6,5,8,7,10,9] => 101010101 => 101010101 => 010101010
[4,1,5,2,6,3,8,7,9] => 10101010 => 01010101 => 10101010
[3,1,5,2,6,4,8,7,10,9] => 101010101 => 101010101 => 010101010
[3,1,6,2,7,4,8,5,9] => 10101010 => 01010101 => 10101010
[3,1,5,2,7,4,8,6,10,9] => 101010101 => 101010101 => 010101010
[3,1,5,2,8,4,9,6,7] => 10101010 => 01010101 => 10101010
[3,1,5,2,7,4,9,6,10,8] => 101010101 => 101010101 => 010101010
[3,1,5,2,7,4,6,8,9] => 10101000 => 00010101 => 11101010
[3,1,5,2,7,4,9,6,8,10] => 101010100 => 001010101 => 110101010
[3,1,5,2,4,7,9,6,8] => 10100010 => 01000101 => 10111010
[3,1,5,2,7,4,6,9,8,10] => 101010010 => 010010101 => 101101010
[3,1,2,5,7,4,6,9,8] => 10001001 => 10010001 => 01101110
[3,1,5,2,4,7,6,9,8,10] => 101001010 => 010100101 => 101011010
[1,3,5,2,4,7,6,9,8] => 00100101 => 10100100 => 01011011
[3,1,2,5,4,7,6,9,8,10] => 100101010 => 010101001 => 101010110
[6,8,2,4,5,1,3,7] => 0100100 => 0010010 => 1101101
[4,6,7,3,1,5,2,8] => 0011010 => 0101100 => 1010011
[5,8,1,2,4,7,3,6] => 0100010 => 0100010 => 1011101
[6,8,1,3,5,2,7,4] => 0100101 => 1010010 => 0101101
[6,8,3,1,4,5,7,2] => 0110001 => 1000110 => 0111001
[7,5,1,8,2,3,6,4] => 1101001 => 1001011 => 0110100
[5,3,8,4,2,6,7,1] => 1011001 => 1001101 => 0110010
[4,1,8,3,5,7,2,6] => 1010010 => 0100101 => 1011010
[3,4,7,2,6,1,8,5] => 0010101 => 1010100 => 0101011
[4,5,7,2,3,6,8,1] => 0010001 => 1000100 => 0111011
[2,6,3,4,7,5,8,1] => 0100101 => 1010010 => 0101101
[4,5,2,7,1,6,8,3] => 0101001 => 1001010 => 0110101
[3,4,1,6,5,8,2,7] => 0101010 => 0101010 => 1010101
[7,3,1,4,8,5,6,2] => 1100101 => 1010011 => 0101100
[5,6,3,1,7,4,2,8] => 0110110 => 0110110 => 1001001
[7,3,4,1,8,5,2,6] => 1010110 => 0110101 => 1001010
[6,4,2,8,7,1,5,3] => 1101101 => 1011011 => 0100100
[7,2,4,8,1,5,3,6] => 1001010 => 0101001 => 1010110
[4,6,3,1,7,8,5,2] => 0110011 => 1100110 => 0011001
[5,3,1,6,7,8,4,2] => 1100011 => 1100011 => 0011100
[4,1,6,2,7,8,5,3] => 1010011 => 1100101 => 0011010
[2,1,3,4,8,7,5,6] => 1000110 => 0110001 => 1001110
[4,5,6,7,8,9,1,2,3] => 00000100 => 00100000 => 11011111
[4,5,6,7,8,9,2,3,1] => 00000101 => 10100000 => 01011111
[5,6,7,8,9,1,2,3,4] => 00001000 => 00010000 => 11101111
[6,7,8,9,2,3,4,5,1] => 00010001 => 10001000 => 01110111
[8,9,6,7,5,4,3,2,1] => 01011111 => 11111010 => 00000101
[4,5,6,7,8,9,10,1,2,3] => 000000100 => 001000000 => 110111111
[4,5,6,7,8,9,10,2,3,1] => 000000101 => 101000000 => 010111111
[5,6,7,8,9,10,1,2,3,4] => 000001000 => 000100000 => 111011111
[5,6,7,8,9,10,3,4,1,2] => 000001010 => 010100000 => 101011111
[7,8,9,10,3,4,5,6,1,2] => 000100010 => 010001000 => 101110111
[7,8,9,10,5,6,3,4,1,2] => 000101010 => 010101000 => 101010111
[8,9,10,5,6,7,2,3,4,1] => 001001001 => 100100100 => 011011011
[4,8,3,7,6,5,1,2] => 0101110 => 0111010 => 1000101
[6,3,8,7,5,4,1,2] => 1011110 => 0111101 => 1000010
[5,3,8,7,6,4,1,2] => 1011110 => 0111101 => 1000010
[2,8,7,6,1,5,4,3] => 0111011 => 1101110 => 0010001
[5,2,8,7,6,1,4,3] => 1011101 => 1011101 => 0100010
[6,2,8,7,5,1,4,3] => 1011101 => 1011101 => 0100010
[7,8,2,6,5,1,4,3] => 0101101 => 1011010 => 0100101
[6,1,8,7,5,4,3,2] => 1011111 => 1111101 => 0000010
[3,1,8,7,6,5,4,2] => 1011111 => 1111101 => 0000010
[7,8,2,6,1,5,4,3] => 0101011 => 1101010 => 0010101
[6,2,8,7,1,5,4,3] => 1011011 => 1101101 => 0010010
[4,2,8,1,7,6,5,3] => 1010111 => 1110101 => 0001010
[4,8,2,7,6,1,5,3] => 0101101 => 1011010 => 0100101
[3,8,7,2,1,6,5,4] => 0111011 => 1101110 => 0010001
[6,5,8,7,1,4,3,2] => 1011011 => 1101101 => 0010010
[4,8,1,7,6,5,3,2] => 0101111 => 1111010 => 0000101
[5,4,1,8,7,6,3,2] => 1101111 => 1111011 => 0000100
[6,4,8,1,7,5,3,2] => 1010111 => 1110101 => 0001010
[7,8,4,1,6,5,3,2] => 0110111 => 1110110 => 0001001
[7,8,3,1,6,5,4,2] => 0110111 => 1110110 => 0001001
[6,3,8,1,7,5,4,2] => 1010111 => 1110101 => 0001010
[5,3,1,8,7,6,4,2] => 1101111 => 1111011 => 0000100
[7,8,2,1,6,5,4,3] => 0110111 => 1110110 => 0001001
[6,5,3,1,8,7,4,2] => 1110111 => 1110111 => 0001000
[6,4,3,1,8,7,5,2] => 1110111 => 1110111 => 0001000
[5,4,3,1,8,7,6,2] => 1110111 => 1110111 => 0001000
[7,5,2,1,8,6,4,3] => 1110111 => 1110111 => 0001000
[5,4,2,1,8,7,6,3] => 1110111 => 1110111 => 0001000
[7,3,2,1,8,6,5,4] => 1110111 => 1110111 => 0001000
[6,3,2,1,8,7,5,4] => 1110111 => 1110111 => 0001000
[9,7,5,3,1,10,8,6,4,2] => 111101111 => 111101111 => 000010000
[8,7,5,3,1,10,9,6,4,2] => 111101111 => 111101111 => 000010000
[9,6,5,3,1,10,8,7,4,2] => 111101111 => 111101111 => 000010000
[8,6,5,3,1,10,9,7,4,2] => 111101111 => 111101111 => 000010000
[7,6,5,3,1,10,9,8,4,2] => 111101111 => 111101111 => 000010000
[9,7,4,3,1,10,8,6,5,2] => 111101111 => 111101111 => 000010000
[8,7,4,3,1,10,9,6,5,2] => 111101111 => 111101111 => 000010000
[9,6,4,3,1,10,8,7,5,2] => 111101111 => 111101111 => 000010000
[8,6,4,3,1,10,9,7,5,2] => 111101111 => 111101111 => 000010000
[7,6,4,3,1,10,9,8,5,2] => 111101111 => 111101111 => 000010000
[9,5,4,3,1,10,8,7,6,2] => 111101111 => 111101111 => 000010000
[8,5,4,3,1,10,9,7,6,2] => 111101111 => 111101111 => 000010000
[7,5,4,3,1,10,9,8,6,2] => 111101111 => 111101111 => 000010000
[6,5,4,3,1,10,9,8,7,2] => 111101111 => 111101111 => 000010000
[9,7,5,2,1,10,8,6,4,3] => 111101111 => 111101111 => 000010000
[8,7,5,2,1,10,9,6,4,3] => 111101111 => 111101111 => 000010000
[9,6,5,2,1,10,8,7,4,3] => 111101111 => 111101111 => 000010000
[8,6,5,2,1,10,9,7,4,3] => 111101111 => 111101111 => 000010000
[7,6,5,2,1,10,9,8,4,3] => 111101111 => 111101111 => 000010000
[9,7,4,2,1,10,8,6,5,3] => 111101111 => 111101111 => 000010000
[8,7,4,2,1,10,9,6,5,3] => 111101111 => 111101111 => 000010000
[9,6,4,2,1,10,8,7,5,3] => 111101111 => 111101111 => 000010000
[8,6,4,2,1,10,9,7,5,3] => 111101111 => 111101111 => 000010000
[7,6,4,2,1,10,9,8,5,3] => 111101111 => 111101111 => 000010000
[9,5,4,2,1,10,8,7,6,3] => 111101111 => 111101111 => 000010000
[8,5,4,2,1,10,9,7,6,3] => 111101111 => 111101111 => 000010000
[7,5,4,2,1,10,9,8,6,3] => 111101111 => 111101111 => 000010000
[6,5,4,2,1,10,9,8,7,3] => 111101111 => 111101111 => 000010000
[9,7,3,2,1,10,8,6,5,4] => 111101111 => 111101111 => 000010000
[8,7,3,2,1,10,9,6,5,4] => 111101111 => 111101111 => 000010000
[9,6,3,2,1,10,8,7,5,4] => 111101111 => 111101111 => 000010000
[8,6,3,2,1,10,9,7,5,4] => 111101111 => 111101111 => 000010000
[7,6,3,2,1,10,9,8,5,4] => 111101111 => 111101111 => 000010000
[9,5,3,2,1,10,8,7,6,4] => 111101111 => 111101111 => 000010000
[8,5,3,2,1,10,9,7,6,4] => 111101111 => 111101111 => 000010000
[7,5,3,2,1,10,9,8,6,4] => 111101111 => 111101111 => 000010000
[6,5,3,2,1,10,9,8,7,4] => 111101111 => 111101111 => 000010000
[9,4,3,2,1,10,8,7,6,5] => 111101111 => 111101111 => 000010000
[8,4,3,2,1,10,9,7,6,5] => 111101111 => 111101111 => 000010000
[7,4,3,2,1,10,9,8,6,5] => 111101111 => 111101111 => 000010000
[6,4,3,2,1,10,9,8,7,5] => 111101111 => 111101111 => 000010000
[11,9,7,5,3,1,12,10,8,6,4,2] => 11111011111 => 11111011111 => 00000100000
[10,9,7,5,3,1,12,11,8,6,4,2] => 11111011111 => 11111011111 => 00000100000
[11,8,7,5,3,1,12,10,9,6,4,2] => 11111011111 => 11111011111 => 00000100000
[10,8,7,5,3,1,12,11,9,6,4,2] => 11111011111 => 11111011111 => 00000100000
[9,8,7,5,3,1,12,11,10,6,4,2] => 11111011111 => 11111011111 => 00000100000
[11,9,6,5,3,1,12,10,8,7,4,2] => 11111011111 => 11111011111 => 00000100000
[10,9,6,5,3,1,12,11,8,7,4,2] => 11111011111 => 11111011111 => 00000100000
[11,8,6,5,3,1,12,10,9,7,4,2] => 11111011111 => 11111011111 => 00000100000
[10,8,6,5,3,1,12,11,9,7,4,2] => 11111011111 => 11111011111 => 00000100000
[9,8,6,5,3,1,12,11,10,7,4,2] => 11111011111 => 11111011111 => 00000100000
[11,7,6,5,3,1,12,10,9,8,4,2] => 11111011111 => 11111011111 => 00000100000
[10,7,6,5,3,1,12,11,9,8,4,2] => 11111011111 => 11111011111 => 00000100000
[9,7,6,5,3,1,12,11,10,8,4,2] => 11111011111 => 11111011111 => 00000100000
[8,7,6,5,3,1,12,11,10,9,4,2] => 11111011111 => 11111011111 => 00000100000
[11,9,7,4,3,1,12,10,8,6,5,2] => 11111011111 => 11111011111 => 00000100000
[10,9,7,4,3,1,12,11,8,6,5,2] => 11111011111 => 11111011111 => 00000100000
[11,8,7,4,3,1,12,10,9,6,5,2] => 11111011111 => 11111011111 => 00000100000
[10,8,7,4,3,1,12,11,9,6,5,2] => 11111011111 => 11111011111 => 00000100000
[9,8,7,4,3,1,12,11,10,6,5,2] => 11111011111 => 11111011111 => 00000100000
[11,9,6,4,3,1,12,10,8,7,5,2] => 11111011111 => 11111011111 => 00000100000
[10,9,6,4,3,1,12,11,8,7,5,2] => 11111011111 => 11111011111 => 00000100000
[11,8,6,4,3,1,12,10,9,7,5,2] => 11111011111 => 11111011111 => 00000100000
[10,8,6,4,3,1,12,11,9,7,5,2] => 11111011111 => 11111011111 => 00000100000
[9,8,6,4,3,1,12,11,10,7,5,2] => 11111011111 => 11111011111 => 00000100000
[11,7,6,4,3,1,12,10,9,8,5,2] => 11111011111 => 11111011111 => 00000100000
[10,7,6,4,3,1,12,11,9,8,5,2] => 11111011111 => 11111011111 => 00000100000
[9,7,6,4,3,1,12,11,10,8,5,2] => 11111011111 => 11111011111 => 00000100000
[8,7,6,4,3,1,12,11,10,9,5,2] => 11111011111 => 11111011111 => 00000100000
[11,9,5,4,3,1,12,10,8,7,6,2] => 11111011111 => 11111011111 => 00000100000
[10,9,5,4,3,1,12,11,8,7,6,2] => 11111011111 => 11111011111 => 00000100000
[11,8,5,4,3,1,12,10,9,7,6,2] => 11111011111 => 11111011111 => 00000100000
[10,8,5,4,3,1,12,11,9,7,6,2] => 11111011111 => 11111011111 => 00000100000
[9,8,5,4,3,1,12,11,10,7,6,2] => 11111011111 => 11111011111 => 00000100000
[11,7,5,4,3,1,12,10,9,8,6,2] => 11111011111 => 11111011111 => 00000100000
[10,7,5,4,3,1,12,11,9,8,6,2] => 11111011111 => 11111011111 => 00000100000
[9,7,5,4,3,1,12,11,10,8,6,2] => 11111011111 => 11111011111 => 00000100000
[8,7,5,4,3,1,12,11,10,9,6,2] => 11111011111 => 11111011111 => 00000100000
[11,6,5,4,3,1,12,10,9,8,7,2] => 11111011111 => 11111011111 => 00000100000
[10,6,5,4,3,1,12,11,9,8,7,2] => 11111011111 => 11111011111 => 00000100000
[9,6,5,4,3,1,12,11,10,8,7,2] => 11111011111 => 11111011111 => 00000100000
[8,6,5,4,3,1,12,11,10,9,7,2] => 11111011111 => 11111011111 => 00000100000
[7,6,5,4,3,1,12,11,10,9,8,2] => 11111011111 => 11111011111 => 00000100000
[11,9,7,5,2,1,12,10,8,6,4,3] => 11111011111 => 11111011111 => 00000100000
[10,9,7,5,2,1,12,11,8,6,4,3] => 11111011111 => 11111011111 => 00000100000
[11,8,7,5,2,1,12,10,9,6,4,3] => 11111011111 => 11111011111 => 00000100000
[10,8,7,5,2,1,12,11,9,6,4,3] => 11111011111 => 11111011111 => 00000100000
[9,8,7,5,2,1,12,11,10,6,4,3] => 11111011111 => 11111011111 => 00000100000
[11,9,6,5,2,1,12,10,8,7,4,3] => 11111011111 => 11111011111 => 00000100000
[10,9,6,5,2,1,12,11,8,7,4,3] => 11111011111 => 11111011111 => 00000100000
[11,8,6,5,2,1,12,10,9,7,4,3] => 11111011111 => 11111011111 => 00000100000
[10,8,6,5,2,1,12,11,9,7,4,3] => 11111011111 => 11111011111 => 00000100000
[9,8,6,5,2,1,12,11,10,7,4,3] => 11111011111 => 11111011111 => 00000100000
[11,7,6,5,2,1,12,10,9,8,4,3] => 11111011111 => 11111011111 => 00000100000
[10,7,6,5,2,1,12,11,9,8,4,3] => 11111011111 => 11111011111 => 00000100000
[9,7,6,5,2,1,12,11,10,8,4,3] => 11111011111 => 11111011111 => 00000100000
[8,7,6,5,2,1,12,11,10,9,4,3] => 11111011111 => 11111011111 => 00000100000
[11,9,7,4,2,1,12,10,8,6,5,3] => 11111011111 => 11111011111 => 00000100000
[10,9,7,4,2,1,12,11,8,6,5,3] => 11111011111 => 11111011111 => 00000100000
[11,8,7,4,2,1,12,10,9,6,5,3] => 11111011111 => 11111011111 => 00000100000
[10,8,7,4,2,1,12,11,9,6,5,3] => 11111011111 => 11111011111 => 00000100000
[9,8,7,4,2,1,12,11,10,6,5,3] => 11111011111 => 11111011111 => 00000100000
[11,9,6,4,2,1,12,10,8,7,5,3] => 11111011111 => 11111011111 => 00000100000
[10,9,6,4,2,1,12,11,8,7,5,3] => 11111011111 => 11111011111 => 00000100000
[11,8,6,4,2,1,12,10,9,7,5,3] => 11111011111 => 11111011111 => 00000100000
[10,8,6,4,2,1,12,11,9,7,5,3] => 11111011111 => 11111011111 => 00000100000
[9,8,6,4,2,1,12,11,10,7,5,3] => 11111011111 => 11111011111 => 00000100000
[11,7,6,4,2,1,12,10,9,8,5,3] => 11111011111 => 11111011111 => 00000100000
[10,7,6,4,2,1,12,11,9,8,5,3] => 11111011111 => 11111011111 => 00000100000
[9,7,6,4,2,1,12,11,10,8,5,3] => 11111011111 => 11111011111 => 00000100000
[8,7,6,4,2,1,12,11,10,9,5,3] => 11111011111 => 11111011111 => 00000100000
[11,9,5,4,2,1,12,10,8,7,6,3] => 11111011111 => 11111011111 => 00000100000
[10,9,5,4,2,1,12,11,8,7,6,3] => 11111011111 => 11111011111 => 00000100000
[11,8,5,4,2,1,12,10,9,7,6,3] => 11111011111 => 11111011111 => 00000100000
[10,8,5,4,2,1,12,11,9,7,6,3] => 11111011111 => 11111011111 => 00000100000
[9,8,5,4,2,1,12,11,10,7,6,3] => 11111011111 => 11111011111 => 00000100000
[11,7,5,4,2,1,12,10,9,8,6,3] => 11111011111 => 11111011111 => 00000100000
[10,7,5,4,2,1,12,11,9,8,6,3] => 11111011111 => 11111011111 => 00000100000
[9,7,5,4,2,1,12,11,10,8,6,3] => 11111011111 => 11111011111 => 00000100000
[8,7,5,4,2,1,12,11,10,9,6,3] => 11111011111 => 11111011111 => 00000100000
[11,6,5,4,2,1,12,10,9,8,7,3] => 11111011111 => 11111011111 => 00000100000
[10,6,5,4,2,1,12,11,9,8,7,3] => 11111011111 => 11111011111 => 00000100000
[9,6,5,4,2,1,12,11,10,8,7,3] => 11111011111 => 11111011111 => 00000100000
[8,6,5,4,2,1,12,11,10,9,7,3] => 11111011111 => 11111011111 => 00000100000
[7,6,5,4,2,1,12,11,10,9,8,3] => 11111011111 => 11111011111 => 00000100000
[11,9,7,3,2,1,12,10,8,6,5,4] => 11111011111 => 11111011111 => 00000100000
[10,9,7,3,2,1,12,11,8,6,5,4] => 11111011111 => 11111011111 => 00000100000
[11,8,7,3,2,1,12,10,9,6,5,4] => 11111011111 => 11111011111 => 00000100000
[10,8,7,3,2,1,12,11,9,6,5,4] => 11111011111 => 11111011111 => 00000100000
[9,8,7,3,2,1,12,11,10,6,5,4] => 11111011111 => 11111011111 => 00000100000
[11,9,6,3,2,1,12,10,8,7,5,4] => 11111011111 => 11111011111 => 00000100000
[10,9,6,3,2,1,12,11,8,7,5,4] => 11111011111 => 11111011111 => 00000100000
[11,8,6,3,2,1,12,10,9,7,5,4] => 11111011111 => 11111011111 => 00000100000
[10,8,6,3,2,1,12,11,9,7,5,4] => 11111011111 => 11111011111 => 00000100000
[9,8,6,3,2,1,12,11,10,7,5,4] => 11111011111 => 11111011111 => 00000100000
[11,7,6,3,2,1,12,10,9,8,5,4] => 11111011111 => 11111011111 => 00000100000
[10,7,6,3,2,1,12,11,9,8,5,4] => 11111011111 => 11111011111 => 00000100000
[9,7,6,3,2,1,12,11,10,8,5,4] => 11111011111 => 11111011111 => 00000100000
[8,7,6,3,2,1,12,11,10,9,5,4] => 11111011111 => 11111011111 => 00000100000
[11,9,5,3,2,1,12,10,8,7,6,4] => 11111011111 => 11111011111 => 00000100000
[10,9,5,3,2,1,12,11,8,7,6,4] => 11111011111 => 11111011111 => 00000100000
[11,8,5,3,2,1,12,10,9,7,6,4] => 11111011111 => 11111011111 => 00000100000
[10,8,5,3,2,1,12,11,9,7,6,4] => 11111011111 => 11111011111 => 00000100000
[9,8,5,3,2,1,12,11,10,7,6,4] => 11111011111 => 11111011111 => 00000100000
[11,7,5,3,2,1,12,10,9,8,6,4] => 11111011111 => 11111011111 => 00000100000
[10,7,5,3,2,1,12,11,9,8,6,4] => 11111011111 => 11111011111 => 00000100000
[9,7,5,3,2,1,12,11,10,8,6,4] => 11111011111 => 11111011111 => 00000100000
[8,7,5,3,2,1,12,11,10,9,6,4] => 11111011111 => 11111011111 => 00000100000
[11,6,5,3,2,1,12,10,9,8,7,4] => 11111011111 => 11111011111 => 00000100000
[10,6,5,3,2,1,12,11,9,8,7,4] => 11111011111 => 11111011111 => 00000100000
[9,6,5,3,2,1,12,11,10,8,7,4] => 11111011111 => 11111011111 => 00000100000
[8,6,5,3,2,1,12,11,10,9,7,4] => 11111011111 => 11111011111 => 00000100000
[7,6,5,3,2,1,12,11,10,9,8,4] => 11111011111 => 11111011111 => 00000100000
[11,9,4,3,2,1,12,10,8,7,6,5] => 11111011111 => 11111011111 => 00000100000
[10,9,4,3,2,1,12,11,8,7,6,5] => 11111011111 => 11111011111 => 00000100000
[11,8,4,3,2,1,12,10,9,7,6,5] => 11111011111 => 11111011111 => 00000100000
[10,8,4,3,2,1,12,11,9,7,6,5] => 11111011111 => 11111011111 => 00000100000
[9,8,4,3,2,1,12,11,10,7,6,5] => 11111011111 => 11111011111 => 00000100000
[11,7,4,3,2,1,12,10,9,8,6,5] => 11111011111 => 11111011111 => 00000100000
[10,7,4,3,2,1,12,11,9,8,6,5] => 11111011111 => 11111011111 => 00000100000
[9,7,4,3,2,1,12,11,10,8,6,5] => 11111011111 => 11111011111 => 00000100000
[8,7,4,3,2,1,12,11,10,9,6,5] => 11111011111 => 11111011111 => 00000100000
[11,6,4,3,2,1,12,10,9,8,7,5] => 11111011111 => 11111011111 => 00000100000
[10,6,4,3,2,1,12,11,9,8,7,5] => 11111011111 => 11111011111 => 00000100000
[9,6,4,3,2,1,12,11,10,8,7,5] => 11111011111 => 11111011111 => 00000100000
[8,6,4,3,2,1,12,11,10,9,7,5] => 11111011111 => 11111011111 => 00000100000
[7,6,4,3,2,1,12,11,10,9,8,5] => 11111011111 => 11111011111 => 00000100000
[11,5,4,3,2,1,12,10,9,8,7,6] => 11111011111 => 11111011111 => 00000100000
[10,5,4,3,2,1,12,11,9,8,7,6] => 11111011111 => 11111011111 => 00000100000
[9,5,4,3,2,1,12,11,10,8,7,6] => 11111011111 => 11111011111 => 00000100000
[8,5,4,3,2,1,12,11,10,9,7,6] => 11111011111 => 11111011111 => 00000100000
[7,5,4,3,2,1,12,11,10,9,8,6] => 11111011111 => 11111011111 => 00000100000
[6,1,4,2,3,5,8,7] => 1010001 => 1000101 => 0111010
[8,6,1,4,2,3,5,7] => 1101000 => 0001011 => 1110100
[6,8,1,4,2,3,5,7] => 0101000 => 0001010 => 1110101
[8,1,4,2,3,6,5,7] => 1010010 => 0100101 => 1011010
[4,1,8,2,3,6,5,7] => 1010010 => 0100101 => 1011010
[8,2,3,6,1,4,5,7] => 1001000 => 0001001 => 1110110
[6,2,3,8,1,4,5,7] => 1001000 => 0001001 => 1110110
[4,6,2,3,8,1,5,7] => 0100100 => 0010010 => 1101101
[4,8,2,3,6,1,5,7] => 0100100 => 0010010 => 1101101
[8,2,3,6,4,1,5,7] => 1001100 => 0011001 => 1100110
[8,4,3,6,2,1,5,7] => 1101100 => 0011011 => 1100100
[6,2,3,8,4,1,5,7] => 1001100 => 0011001 => 1100110
[8,4,2,3,6,1,5,7] => 1100100 => 0010011 => 1101100
[6,4,2,3,8,1,5,7] => 1100100 => 0010011 => 1101100
[2,6,4,3,8,1,5,7] => 0110100 => 0010110 => 1101001
[2,8,4,3,6,1,5,7] => 0110100 => 0010110 => 1101001
[2,6,3,8,4,1,5,7] => 0101100 => 0011010 => 1100101
[6,3,8,4,2,1,5,7] => 1011100 => 0011101 => 1100010
[2,6,3,8,1,4,5,7] => 0101000 => 0001010 => 1110101
[2,8,3,6,1,4,5,7] => 0101000 => 0001010 => 1110101
[8,3,6,4,2,1,5,7] => 1011100 => 0011101 => 1100010
[2,8,3,6,4,1,5,7] => 0101100 => 0011010 => 1100101
[8,3,6,2,4,1,5,7] => 1010100 => 0010101 => 1101010
[8,3,6,2,1,4,5,7] => 1011000 => 0001101 => 1110010
[6,2,1,3,8,4,5,7] => 1100100 => 0010011 => 1101100
[8,2,1,3,6,4,5,7] => 1100100 => 0010011 => 1101100
[6,3,8,2,4,1,5,7] => 1010100 => 0010101 => 1101010
[6,2,4,3,8,1,5,7] => 1010100 => 0010101 => 1101010
[3,6,4,7,8,5,1,2] => 0100110 => 0110010 => 1001101
[1,6,4,2,7,5,8,3] => 0110101 => 1010110 => 0101001
[3,6,4,2,7,1,5,8] => 0110100 => 0010110 => 1101001
[1,4,7,2,5,6,8,3] => 0010001 => 1000100 => 0111011
[6,4,8,5,3,7,1,2] => 1011010 => 0101101 => 1010010
[1,6,5,4,2,7,8,3] => 0111001 => 1001110 => 0110001
[4,2,5,3,6,1,7,8] => 1010100 => 0010101 => 1101010
[7,1,5,3,6,2,8,4] => 1010101 => 1010101 => 0101010
[1,6,5,2,4,8,7,3] => 0110011 => 1100110 => 0011001
[1,4,6,2,8,5,7,3] => 0010101 => 1010100 => 0101011
[7,8,1,4,2,5,6,3] => 0101001 => 1001010 => 0110101
[3,4,8,5,2,1,6,7] => 0011100 => 0011100 => 1100011
[4,8,5,3,1,6,2,7] => 0111010 => 0101110 => 1010001
[6,1,3,5,8,2,7,4] => 1000101 => 1010001 => 0101110
[6,1,8,7,4,2,3,5] => 1011100 => 0011101 => 1100010
[1,2,8,5,7,3,6,4] => 0010101 => 1010100 => 0101011
[1,3,6,8,7,5,2,4] => 0001110 => 0111000 => 1000111
[1,8,2,5,4,7,6,3] => 0101011 => 1101010 => 0010101
[7,1,2,4,5,8,6,3] => 1000011 => 1100001 => 0011110
[1,2,7,3,5,8,6,4] => 0010011 => 1100100 => 0011011
[6,1,3,2,5,7,8,4] => 1010001 => 1000101 => 0111010
[4,6,2,1,7,5,3,8] => 0110110 => 0110110 => 1001001
[1,6,3,7,8,5,2,4] => 0100110 => 0110010 => 1001101
[4,6,2,3,7,8,1,5] => 0100010 => 0100010 => 1011101
[4,6,3,7,1,2,8,5] => 0101001 => 1001010 => 0110101
[4,2,1,3,5,7,8,6] => 1100001 => 1000011 => 0111100
[7,3,2,4,5,1,8,6] => 1100101 => 1010011 => 0101100
[3,8,2,5,4,1,7,6] => 0101101 => 1011010 => 0100101
[7,8,4,2,6,3,1,5] => 0110110 => 0110110 => 1001001
[4,2,6,3,8,7,1,5] => 1010110 => 0110101 => 1001010
[5,8,2,7,4,3,1,6] => 0101110 => 0111010 => 1000101
[4,3,8,5,1,7,2,6] => 1011010 => 0101101 => 1010010
[4,3,6,8,1,2,7,5] => 1001001 => 1001001 => 0110110
[6,4,3,5,2,8,1,7] => 1101010 => 0101011 => 1010100
[6,5,3,8,4,2,1,7] => 1101110 => 0111011 => 1000100
[6,1,7,2,8,3,9,4,10,5] => 101010101 => 101010101 => 010101010
[6,1,7,8,9,10,2,3,4,5] => 100001000 => 000100001 => 111011110
[7,1,8,2,9,3,10,4,11,5,12,6] => 10101010101 => 10101010101 => 01010101010
[3,8,1,7,5,6,4,2] => 0101011 => 1101010 => 0010101
[8,2,5,7,3,6,4,1] => 1001011 => 1101001 => 0010110
[1,8,6,7,5,3,4,2] => 0101101 => 1011010 => 0100101
[8,2,6,7,5,3,4,1] => 1001101 => 1011001 => 0100110
[1,5,8,7,2,6,4,3] => 0011011 => 1101100 => 0010011
[5,4,8,6,2,3,7,1] => 1011001 => 1001101 => 0110010
[2,7,6,1,3,5,4,8] => 0110010 => 0100110 => 1011001
[6,4,1,8,2,5,7,3] => 1101001 => 1001011 => 0110100
[2,8,6,1,3,5,4,7] => 0110010 => 0100110 => 1011001
[4,1,3,6,5,8,7,2] => 1001011 => 1101001 => 0010110
[2,1,6,3,5,8,7,4] => 1010011 => 1100101 => 0011010
[2,4,1,3,8,5,7,6] => 0100101 => 1010010 => 0101101
[2,4,1,3,5,8,7,6] => 0100011 => 1100010 => 0011101
[2,6,1,3,5,8,7,4] => 0100011 => 1100010 => 0011101
[4,6,1,3,5,8,7,2] => 0100011 => 1100010 => 0011101
[6,1,4,3,5,8,7,2] => 1010011 => 1100101 => 0011010
[6,4,1,3,5,8,7,2] => 1100011 => 1100011 => 0011100
[6,2,1,3,5,8,7,4] => 1100011 => 1100011 => 0011100
[4,2,1,3,6,5,7,8] => 1100100 => 0010011 => 1101100
[4,2,1,6,3,5,7,8] => 1101000 => 0001011 => 1110100
[6,2,1,8,3,5,7,4] => 1101001 => 1001011 => 0110100
[6,2,1,3,8,5,7,4] => 1100101 => 1010011 => 0101100
[6,1,4,3,8,5,7,2] => 1010101 => 1010101 => 0101010
[1,6,4,3,8,5,7,2] => 0110101 => 1010110 => 0101001
[8,1,4,3,6,5,7,2] => 1010101 => 1010101 => 0101010
[8,4,1,3,6,5,7,2] => 1100101 => 1010011 => 0101100
[8,2,1,3,6,5,7,4] => 1100101 => 1010011 => 0101100
[8,2,1,6,3,5,7,4] => 1101001 => 1001011 => 0110100
[8,2,1,4,3,5,7,6] => 1101001 => 1001011 => 0110100
[6,2,1,4,3,5,7,8] => 1101000 => 0001011 => 1110100
[8,2,4,1,3,5,7,6] => 1010001 => 1000101 => 0111010
[8,2,6,1,3,5,7,4] => 1010001 => 1000101 => 0111010
[8,4,6,1,3,5,7,2] => 1010001 => 1000101 => 0111010
[8,4,1,6,3,5,7,2] => 1101001 => 1001011 => 0110100
[8,1,4,6,3,5,7,2] => 1001001 => 1001001 => 0110110
[1,8,4,6,3,5,7,2] => 0101001 => 1001010 => 0110101
[1,6,4,8,3,5,7,2] => 0101001 => 1001010 => 0110101
[6,4,1,8,3,5,7,2] => 1101001 => 1001011 => 0110100
[6,4,8,1,3,5,7,2] => 1010001 => 1000101 => 0111010
[6,2,8,1,3,5,7,4] => 1010001 => 1000101 => 0111010
[4,2,8,1,3,5,7,6] => 1010001 => 1000101 => 0111010
[2,6,8,1,3,5,7,4] => 0010001 => 1000100 => 0111011
[4,6,8,1,3,5,7,2] => 0010001 => 1000100 => 0111011
[4,6,1,8,3,5,7,2] => 0101001 => 1001010 => 0110101
[4,1,6,8,3,5,7,2] => 1001001 => 1001001 => 0110110
[1,4,6,3,8,5,7,2] => 0010101 => 1010100 => 0101011
[4,6,1,3,8,5,7,2] => 0100101 => 1010010 => 0101101
[2,4,1,8,3,5,7,6] => 0101001 => 1001010 => 0110101
[2,1,6,8,3,5,7,4] => 1001001 => 1001001 => 0110110
[4,1,3,6,8,5,7,2] => 1000101 => 1010001 => 0101110
[1,4,3,6,8,5,7,2] => 0100101 => 1010010 => 0101101
[4,1,3,8,6,5,7,2] => 1001101 => 1011001 => 0100110
[2,1,8,3,6,5,7,4] => 1010101 => 1010101 => 0101010
[2,1,6,4,3,5,7,8] => 1011000 => 0001101 => 1110010
[2,6,1,4,3,5,7,8] => 0101000 => 0001010 => 1110101
[2,8,1,4,3,5,7,6] => 0101001 => 1001010 => 0110101
[2,8,1,6,3,5,7,4] => 0101001 => 1001010 => 0110101
[4,8,1,3,6,5,7,2] => 0100101 => 1010010 => 0101101
[1,4,8,3,6,5,7,2] => 0010101 => 1010100 => 0101011
[1,4,8,6,3,5,7,2] => 0011001 => 1001100 => 0110011
[4,1,8,6,3,5,7,2] => 1011001 => 1001101 => 0110010
[4,8,1,6,3,5,7,2] => 0101001 => 1001010 => 0110101
[4,8,6,1,3,5,7,2] => 0110001 => 1000110 => 0111001
[2,8,6,1,3,5,7,4] => 0110001 => 1000110 => 0111001
[2,8,4,1,3,5,7,6] => 0110001 => 1000110 => 0111001
[2,6,4,1,3,5,7,8] => 0110000 => 0000110 => 1111001
[4,6,2,1,3,5,7,8] => 0110000 => 0000110 => 1111001
[6,8,1,4,3,5,7,2] => 0101001 => 1001010 => 0110101
[6,1,8,4,3,5,7,2] => 1011001 => 1001101 => 0110010
[1,6,8,4,3,5,7,2] => 0011001 => 1001100 => 0110011
[1,8,6,4,3,5,7,2] => 0111001 => 1001110 => 0110001
[8,1,6,4,3,5,7,2] => 1011001 => 1001101 => 0110010
[8,6,1,4,3,5,7,2] => 1101001 => 1001011 => 0110100
[8,6,4,1,3,5,7,2] => 1110001 => 1000111 => 0111000
[8,6,2,1,3,5,7,4] => 1110001 => 1000111 => 0111000
[8,4,2,1,3,5,7,6] => 1110001 => 1000111 => 0111000
[7,8,6,5,2,1,4,3] => 0111101 => 1011110 => 0100001
[5,7,4,1,8,6,3,2] => 0110111 => 1110110 => 0001001
[5,6,4,2,8,3,7,1] => 0110101 => 1010110 => 0101001
[5,6,4,2,7,3,1,8] => 0110110 => 0110110 => 1001001
[5,7,1,4,6,3,2,8] => 0100110 => 0110010 => 1001101
[5,8,1,4,6,3,7,2] => 0100101 => 1010010 => 0101101
[3,6,7,4,5,8,2,1] => 0010011 => 1100100 => 0011011
[3,5,7,4,6,8,2,1] => 0010011 => 1100100 => 0011011
[6,8,4,1,7,2,5,3] => 0110101 => 1010110 => 0101001
[5,4,6,1,7,8,3,2] => 1010011 => 1100101 => 0011010
[5,6,4,1,8,7,3,2] => 0110111 => 1110110 => 0001001
[3,5,8,4,6,7,2,1] => 0010011 => 1100100 => 0011011
[3,6,8,4,5,7,2,1] => 0010011 => 1100100 => 0011011
[3,7,8,4,5,6,2,1] => 0010011 => 1100100 => 0011011
[6,8,1,4,5,3,7,2] => 0100101 => 1010010 => 0101101
[6,7,1,4,5,3,2,8] => 0100110 => 0110010 => 1001101
[3,7,1,5,4,6,2,8] => 0101010 => 0101010 => 1010101
[3,8,1,5,4,6,7,2] => 0101001 => 1001010 => 0110101
[3,7,1,5,4,6,8,2] => 0101001 => 1001010 => 0110101
[6,7,1,4,5,3,8,2] => 0100101 => 1010010 => 0101101
[5,7,1,4,6,3,8,2] => 0100101 => 1010010 => 0101101
[5,6,4,2,7,3,8,1] => 0110101 => 1010110 => 0101001
[5,4,7,2,8,3,1,6] => 1010110 => 0110101 => 1001010
[5,4,7,2,8,3,6,1] => 1010101 => 1010101 => 0101010
[5,6,4,2,8,3,1,7] => 0110110 => 0110110 => 1001001
[5,8,1,4,6,3,2,7] => 0100110 => 0110010 => 1001101
[3,8,1,5,4,6,2,7] => 0101010 => 0101010 => 1010101
[3,6,1,5,4,2,7,8] => 0101100 => 0011010 => 1100101
[3,6,1,5,4,8,2,7] => 0101010 => 0101010 => 1010101
[6,8,3,1,4,2,5,7] => 0110100 => 0010110 => 1101001
[7,3,8,1,4,2,5,6] => 1010100 => 0010101 => 1101010
[6,7,3,1,4,2,8,5] => 0110101 => 1010110 => 0101001
[3,6,1,5,4,7,8,2] => 0101001 => 1001010 => 0110101
[3,4,1,2,7,6,5,8] => 0100110 => 0110010 => 1001101
[3,4,1,2,6,8,7,5] => 0100011 => 1100010 => 0011101
[6,8,3,1,4,7,2,5] => 0110010 => 0100110 => 1011001
[6,4,7,2,8,5,1,3] => 1010110 => 0110101 => 1001010
[5,8,1,4,7,3,2,6] => 0100110 => 0110010 => 1001101
[7,8,1,4,5,3,2,6] => 0100110 => 0110010 => 1001101
[3,8,1,5,4,7,2,6] => 0101010 => 0101010 => 1010101
[3,6,1,5,4,8,7,2] => 0101011 => 1101010 => 0010101
[3,6,1,5,4,7,2,8] => 0101010 => 0101010 => 1010101
[6,7,3,1,4,2,5,8] => 0110100 => 0010110 => 1101001
[6,8,3,1,4,2,7,5] => 0110101 => 1010110 => 0101001
[7,8,3,1,4,6,2,5] => 0110010 => 0100110 => 1011001
[7,8,4,2,6,5,1,3] => 0110110 => 0110110 => 1001001
[6,5,8,7,3,4,2,1] => 1011011 => 1101101 => 0010010
[7,8,3,1,4,6,5,2] => 0110011 => 1100110 => 0011001
[6,7,3,1,4,5,2,8] => 0110010 => 0100110 => 1011001
[3,7,1,5,4,2,6,8] => 0101100 => 0011010 => 1100101
[3,8,1,5,4,2,7,6] => 0101101 => 1011010 => 0100101
[5,8,1,4,7,3,6,2] => 0100101 => 1010010 => 0101101
[6,8,4,2,7,5,3,1] => 0110111 => 1110110 => 0001001
[6,4,7,2,8,5,3,1] => 1010111 => 1110101 => 0001010
[6,3,7,1,4,8,5,2] => 1010011 => 1100101 => 0011010
[6,8,3,1,4,7,5,2] => 0110011 => 1100110 => 0011001
[3,7,1,5,4,8,6,2] => 0101011 => 1101010 => 0010101
[3,4,1,2,8,5,7,6] => 0100101 => 1010010 => 0101101
[3,4,1,2,5,8,7,6] => 0100011 => 1100010 => 0011101
[3,7,1,5,4,2,8,6] => 0101101 => 1011010 => 0100101
[6,7,3,1,4,5,8,2] => 0110001 => 1000110 => 0111001
[7,3,8,1,4,5,2,6] => 1010010 => 0100101 => 1011010
[7,3,8,1,4,5,6,2] => 1010001 => 1000101 => 0111010
[6,8,3,1,4,5,2,7] => 0110010 => 0100110 => 1011001
[3,8,1,5,4,2,6,7] => 0101100 => 0011010 => 1100101
[9,8,7,6,5,4,2,1,3] => 11111110 => 01111111 => 10000000
[9,8,7,6,5,3,2,1,4] => 11111110 => 01111111 => 10000000
[8,7,6,3,5,2,1,4] => 1110110 => 0110111 => 1001000
[9,8,7,6,4,3,2,1,5] => 11111110 => 01111111 => 10000000
[8,7,4,6,3,2,1,5] => 1101110 => 0111011 => 1000100
[9,8,7,5,4,3,2,1,6] => 11111110 => 01111111 => 10000000
[8,5,7,4,3,2,1,6] => 1011110 => 0111101 => 1000010
[9,8,6,5,4,3,2,1,7] => 11111110 => 01111111 => 10000000
[9,7,6,5,4,3,2,1,8] => 11111110 => 01111111 => 10000000
[9,8,7,6,5,4,1,3,2] => 11111101 => 10111111 => 01000000
[10,9,8,7,6,5,4,2,1,3] => 111111110 => 011111111 => 100000000
[9,8,7,6,5,2,4,1,3] => 11111010 => 01011111 => 10100000
[10,9,8,7,6,5,3,2,1,4] => 111111110 => 011111111 => 100000000
[9,8,7,6,3,5,2,1,4] => 11110110 => 01101111 => 10010000
[10,9,8,7,6,4,3,2,1,5] => 111111110 => 011111111 => 100000000
[8,7,6,2,5,4,1,3] => 1110110 => 0110111 => 1001000
[9,8,7,4,6,3,2,1,5] => 11101110 => 01110111 => 10001000
[10,9,8,7,5,4,3,2,1,6] => 111111110 => 011111111 => 100000000
[8,5,4,7,3,2,1,6] => 1101110 => 0111011 => 1000100
[8,7,3,6,5,2,1,4] => 1101110 => 0111011 => 1000100
[9,8,5,7,4,3,2,1,6] => 11011110 => 01111011 => 10000100
[10,9,8,6,5,4,3,2,1,7] => 111111110 => 011111111 => 100000000
[6,5,8,4,3,2,1,7] => 1011110 => 0111101 => 1000010
[8,4,7,6,3,2,1,5] => 1011110 => 0111101 => 1000010
[9,6,8,5,4,3,2,1,7] => 10111110 => 01111101 => 10000010
[10,9,7,6,5,4,3,2,1,8] => 111111110 => 011111111 => 100000000
[5,8,7,4,3,2,1,6] => 0111110 => 0111110 => 1000001
[10,8,7,6,5,4,3,2,1,9] => 111111110 => 011111111 => 100000000
[5,8,6,2,3,4,7,1] => 0110001 => 1000110 => 0111001
[4,5,2,7,3,1,8,6] => 0101101 => 1011010 => 0100101
[4,8,2,6,3,5,7,1] => 0101001 => 1001010 => 0110101
[4,3,7,8,6,5,1,2] => 1001110 => 0111001 => 1000110
[4,1,7,2,5,8,6,3] => 1010011 => 1100101 => 0011010
[7,8,2,1,5,6,4,3] => 0110011 => 1100110 => 0011001
[1,6,2,5,8,4,3,7] => 0100110 => 0110010 => 1001101
[2,1,8,7,4,5,3,6] => 1011010 => 0101101 => 1010010
[7,3,1,6,8,5,2,4] => 1100110 => 0110011 => 1001100
[1,5,8,6,2,3,7,4] => 0011001 => 1001100 => 0110011
[2,4,8,3,1,6,5,7] => 0011010 => 0101100 => 1010011
[5,2,7,1,8,6,3,4] => 1010110 => 0110101 => 1001010
[2,6,1,3,8,7,4,5] => 0100110 => 0110010 => 1001101
[6,5,2,8,1,7,3,4] => 1101010 => 0101011 => 1010100
[2,8,3,5,1,7,4,6] => 0101010 => 0101010 => 1010101
[5,4,3,8,7,1,6,2] => 1101101 => 1011011 => 0100100
[8,5,4,3,7,2,6,1] => 1110101 => 1010111 => 0101000
[8,3,7,4,2,6,5,1] => 1011011 => 1101101 => 0010010
[2,8,6,5,1,7,4,3] => 0111011 => 1101110 => 0010001
[6,3,2,8,4,1,7,5] => 1101101 => 1011011 => 0100100
[2,8,3,4,1,7,5,6] => 0101010 => 0101010 => 1010101
[5,4,2,8,3,1,7,6] => 1101101 => 1011011 => 0100100
[2,8,4,3,1,7,6,5] => 0111011 => 1101110 => 0010001
[2,8,5,3,1,7,6,4] => 0111011 => 1101110 => 0010001
[2,8,6,4,1,7,5,3] => 0111011 => 1101110 => 0010001
[3,8,7,5,1,6,4,2] => 0111011 => 1101110 => 0010001
[8,3,7,5,2,6,4,1] => 1011011 => 1101101 => 0010010
[8,4,7,6,2,5,3,1] => 1011011 => 1101101 => 0010010
[4,8,7,6,1,5,3,2] => 0111011 => 1101110 => 0010001
[7,4,8,6,2,1,5,3] => 1011101 => 1011101 => 0100010
[7,3,8,5,2,1,6,4] => 1011101 => 1011101 => 0100010
[7,3,8,4,2,1,6,5] => 1011101 => 1011101 => 0100010
[7,5,4,3,8,2,1,6] => 1110110 => 0110111 => 1001000
[3,7,8,4,1,2,6,5] => 0011001 => 1001100 => 0110011
[3,7,8,5,1,2,6,4] => 0011001 => 1001100 => 0110011
[4,7,8,6,1,2,5,3] => 0011001 => 1001100 => 0110011
[8,7,4,6,3,5,2,1] => 1101011 => 1101011 => 0010100
[5,7,8,6,1,2,4,3] => 0011001 => 1001100 => 0110011
[6,4,7,8,3,1,2,5] => 1001100 => 0011001 => 1100110
[7,3,4,8,2,1,5,6] => 1001100 => 0011001 => 1100110
[7,6,4,8,3,2,1,5] => 1101110 => 0111011 => 1000100
[7,5,8,6,2,1,4,3] => 1011101 => 1011101 => 0100010
[6,5,8,7,3,1,4,2] => 1011101 => 1011101 => 0100010
[2,4,8,3,1,5,7,6] => 0011001 => 1001100 => 0110011
[6,3,2,4,8,1,5,7] => 1100100 => 0010011 => 1101100
[2,3,8,4,1,6,7,5] => 0011001 => 1001100 => 0110011
[2,3,8,5,1,6,7,4] => 0011001 => 1001100 => 0110011
[6,4,8,7,3,1,5,2] => 1011101 => 1011101 => 0100010
[8,6,4,7,3,2,5,1] => 1101101 => 1011011 => 0100100
[8,3,4,7,2,5,6,1] => 1001001 => 1001001 => 0110110
[3,4,8,7,1,5,6,2] => 0011001 => 1001100 => 0110011
[2,4,8,6,1,5,7,3] => 0011001 => 1001100 => 0110011
[2,5,8,6,1,4,7,3] => 0011001 => 1001100 => 0110011
[8,3,5,7,2,4,6,1] => 1001001 => 1001001 => 0110110
[8,4,6,7,2,3,5,1] => 1001001 => 1001001 => 0110110
[4,6,8,7,1,3,5,2] => 0011001 => 1001100 => 0110011
[2,6,8,5,1,3,7,4] => 0011001 => 1001100 => 0110011
[2,6,8,4,1,3,7,5] => 0011001 => 1001100 => 0110011
[2,5,8,3,1,4,7,6] => 0011001 => 1001100 => 0110011
[5,6,8,7,1,3,4,2] => 0011001 => 1001100 => 0110011
[7,4,6,8,2,1,3,5] => 1001100 => 0011001 => 1100110
[2,3,5,4,1,8,6,7] => 0011010 => 0101100 => 1010011
[2,3,6,4,8,1,5,7] => 0010100 => 0010100 => 1101011
[1,8,4,6,3,5,2,7] => 0101010 => 0101010 => 1010101
[5,4,8,6,2,1,3,7] => 1011100 => 0011101 => 1100010
[2,3,6,8,1,5,4,7] => 0001010 => 0101000 => 1010111
[2,5,6,1,4,7,8,3] => 0010001 => 1000100 => 0111011
[2,5,6,1,4,7,3,8] => 0010010 => 0100100 => 1011011
[7,3,5,1,6,8,4,2] => 1010011 => 1100101 => 0011010
[2,7,6,1,8,5,4,3] => 0110111 => 1110110 => 0001001
[2,7,6,8,1,4,5,3] => 0101001 => 1001010 => 0110101
[1,8,7,6,3,2,5,4] => 0111101 => 1011110 => 0100001
[1,8,7,6,3,2,4,5] => 0111100 => 0011110 => 1100001
[5,7,8,6,2,3,4,1] => 0011001 => 1001100 => 0110011
[2,7,6,1,8,5,3,4] => 0110110 => 0110110 => 1001001
[6,3,5,1,7,2,4,8] => 1010100 => 0010101 => 1101010
[2,3,4,7,6,1,5,8] => 0001100 => 0011000 => 1100111
[7,3,5,8,4,1,2,6] => 1001100 => 0011001 => 1100110
[1,8,4,5,2,7,3,6] => 0101010 => 0101010 => 1010101
[1,8,4,5,2,7,6,3] => 0101011 => 1101010 => 0010101
[7,3,5,8,4,1,6,2] => 1001101 => 1011001 => 0100110
[2,7,6,4,8,5,1,3] => 0110110 => 0110110 => 1001001
[7,3,5,4,6,8,1,2] => 1010010 => 0100101 => 1011010
[6,3,5,4,7,1,8,2] => 1010101 => 1010101 => 0101010
[6,3,5,4,7,1,2,8] => 1010100 => 0010101 => 1101010
[3,4,1,5,6,8,7,2] => 0100011 => 1100010 => 0011101
[3,7,1,6,8,5,2,4] => 0100110 => 0110010 => 1001101
[2,3,1,8,6,4,7,5] => 0101101 => 1011010 => 0100101
[1,8,4,3,6,2,5,7] => 0110100 => 0010110 => 1101001
[2,3,1,8,6,4,5,7] => 0101100 => 0011010 => 1100101
[3,7,1,6,8,5,4,2] => 0100111 => 1110010 => 0001101
[6,3,5,4,7,2,1,8] => 1010110 => 0110101 => 1001010
[7,3,5,4,6,8,2,1] => 1010011 => 1100101 => 0011010
[2,7,6,4,8,5,3,1] => 0110111 => 1110110 => 0001001
[1,8,4,5,2,6,3,7] => 0101010 => 0101010 => 1010101
[6,4,8,5,3,1,2,7] => 1011100 => 0011101 => 1100010
[7,3,5,8,4,6,2,1] => 1001011 => 1101001 => 0010110
[2,3,4,6,5,8,1,7] => 0001010 => 0101000 => 1010111
[2,3,4,7,5,1,8,6] => 0001101 => 1011000 => 0100111
[2,3,4,7,5,1,6,8] => 0001100 => 0011000 => 1100111
[2,3,4,7,1,6,5,8] => 0001010 => 0101000 => 1010111
[2,3,4,7,1,6,8,5] => 0001001 => 1001000 => 0110111
[2,3,4,6,1,8,7,5] => 0001011 => 1101000 => 0010111
[6,3,5,8,4,2,7,1] => 1001101 => 1011001 => 0100110
[7,4,8,5,3,2,1,6] => 1011110 => 0111101 => 1000010
[1,8,4,5,2,3,6,7] => 0101000 => 0001010 => 1110101
[7,4,8,5,3,2,6,1] => 1011101 => 1011101 => 0100010
[6,3,5,8,4,2,1,7] => 1001110 => 0111001 => 1000110
[5,2,4,6,8,3,7,1] => 1000101 => 1010001 => 0101110
[1,5,7,4,6,3,2,8] => 0010110 => 0110100 => 1001011
[5,2,8,4,6,3,7,1] => 1010101 => 1010101 => 0101010
[3,8,5,4,6,7,2,1] => 0110011 => 1100110 => 0011001
[6,8,3,4,5,7,2,1] => 0100011 => 1100010 => 0011101
[2,5,7,4,6,3,8,1] => 0010101 => 1010100 => 0101011
[5,4,1,7,8,3,2,6] => 1100110 => 0110011 => 1001100
[5,4,2,7,8,3,6,1] => 1100101 => 1010011 => 0101100
[5,1,4,6,8,3,2,7] => 1000110 => 0110001 => 1001110
[5,1,8,4,6,3,2,7] => 1010110 => 0110101 => 1001010
[8,1,6,4,5,3,2,7] => 1010110 => 0110101 => 1001010
[8,1,3,5,4,6,2,7] => 1001010 => 0101001 => 1010110
[8,1,6,2,4,3,5,7] => 1010100 => 0010101 => 1101010
[8,7,1,2,4,3,5,6] => 1100100 => 0010011 => 1101100
[1,7,6,2,4,3,5,8] => 0110100 => 0010110 => 1101001
[8,7,3,2,4,6,5,1] => 1110011 => 1100111 => 0011000
[8,2,6,3,4,5,7,1] => 1010001 => 1000101 => 0111010
[1,7,6,3,4,5,2,8] => 0110010 => 0100110 => 1011001
[1,7,2,5,4,3,6,8] => 0101100 => 0011010 => 1100101
[8,7,2,4,5,3,6,1] => 1100101 => 1010011 => 0101100
[5,8,2,4,7,3,6,1] => 0100101 => 1010010 => 0101101
[6,8,3,2,4,7,5,1] => 0110011 => 1100110 => 0011001
[8,7,1,3,4,5,2,6] => 1100010 => 0100011 => 1011100
[8,1,6,3,4,5,2,7] => 1010010 => 0100101 => 1011010
[8,1,2,5,4,3,6,7] => 1001100 => 0011001 => 1100110
[3,4,8,7,5,2,6,1] => 0011101 => 1011100 => 0100011
[3,2,8,6,1,5,4,7] => 1011010 => 0101101 => 1010010
[8,6,1,2,4,3,5,7] => 1100100 => 0010011 => 1101100
[8,7,3,6,4,2,5,1] => 1101101 => 1011011 => 0100100
[3,8,7,2,5,4,6,1] => 0110101 => 1010110 => 0101001
[8,7,2,4,5,6,3,1] => 1100011 => 1100011 => 0011100
[5,3,6,2,4,8,7,1] => 1010011 => 1100101 => 0011010
[3,5,2,8,6,1,4,7] => 0101100 => 0011010 => 1100101
[3,7,2,5,1,4,8,6] => 0101001 => 1001010 => 0110101
[5,1,8,6,2,3,4,7] => 1011000 => 0001101 => 1110010
[2,5,4,1,8,6,3,7] => 0110110 => 0110110 => 1001001
[3,7,6,1,8,2,5,4] => 0110101 => 1010110 => 0101001
[7,6,3,1,8,2,4,5] => 1110100 => 0010111 => 1101000
[8,2,3,6,1,4,7,5] => 1001001 => 1001001 => 0110110
[1,8,2,6,3,4,7,5] => 0101001 => 1001010 => 0110101
[8,1,3,6,4,7,2,5] => 1001010 => 0101001 => 1010110
[7,1,3,6,4,8,2,5] => 1001010 => 0101001 => 1010110
[8,2,1,3,5,7,4,6] => 1100010 => 0100011 => 1011100
[8,2,6,3,1,4,7,5] => 1011001 => 1001101 => 0110010
[7,5,4,1,3,8,2,6] => 1110010 => 0100111 => 1011000
[2,7,5,8,3,4,1,6] => 0101010 => 0101010 => 1010101
[7,3,8,5,4,1,2,6] => 1011100 => 0011101 => 1100010
[7,2,3,6,1,4,8,5] => 1001001 => 1001001 => 0110110
[1,3,7,2,5,8,4,6] => 0010010 => 0100100 => 1011011
[1,7,2,3,5,8,4,6] => 0100010 => 0100010 => 1011101
[7,4,8,1,3,6,2,5] => 1010010 => 0100101 => 1011010
[8,1,2,3,5,7,4,6] => 1000010 => 0100001 => 1011110
[7,1,2,3,5,8,4,6] => 1000010 => 0100001 => 1011110
[8,6,1,4,7,3,2,5] => 1100110 => 0110011 => 1001100
[2,6,3,7,1,4,8,5] => 0101001 => 1001010 => 0110101
[2,6,3,8,1,4,7,5] => 0101001 => 1001010 => 0110101
[7,5,4,8,1,3,2,6] => 1101010 => 0101011 => 1010100
[8,5,4,7,1,3,2,6] => 1101010 => 0101011 => 1010100
[2,3,1,8,5,4,6,7] => 0101100 => 0011010 => 1100101
[8,6,5,1,3,4,2,7] => 1110010 => 0100111 => 1011000
[8,5,1,7,6,3,4,2] => 1101101 => 1011011 => 0100100
[3,4,7,6,1,8,5,2] => 0011011 => 1101100 => 0010011
[3,5,2,6,7,1,8,4] => 0100101 => 1010010 => 0101101
[3,2,8,4,7,5,1,6] => 1010110 => 0110101 => 1001010
[8,4,7,5,1,3,2,6] => 1011010 => 0101101 => 1010010
[3,8,1,6,5,2,7,4] => 0101101 => 1011010 => 0100101
[6,1,2,8,3,4,7,5] => 1001001 => 1001001 => 0110110
[6,8,3,1,7,2,4,5] => 0110100 => 0010110 => 1101001
[3,7,2,5,6,1,8,4] => 0100101 => 1010010 => 0101101
[6,8,4,2,5,1,7,3] => 0110101 => 1010110 => 0101001
[2,7,5,3,8,4,1,6] => 0110110 => 0110110 => 1001001
[8,3,1,4,7,2,6,5] => 1100101 => 1010011 => 0101100
[8,3,2,1,5,7,4,6] => 1110010 => 0100111 => 1011000
[2,8,3,6,4,7,1,5] => 0101010 => 0101010 => 1010101
[7,3,6,4,8,1,2,5] => 1010100 => 0010101 => 1101010
[8,3,6,4,7,1,2,5] => 1010100 => 0010101 => 1101010
[1,2,8,3,5,7,4,6] => 0010010 => 0100100 => 1011011
[1,8,3,2,5,7,4,6] => 0110010 => 0100110 => 1011001
[6,5,1,7,4,2,8,3] => 1101101 => 1011011 => 0100100
[7,3,6,4,8,2,1,5] => 1010110 => 0110101 => 1001010
[4,6,1,7,3,5,2,8] => 0101010 => 0101010 => 1010101
[5,6,1,7,3,4,2,8] => 0101010 => 0101010 => 1010101
[6,1,7,3,4,2,8,5] => 1010101 => 1010101 => 0101010
[7,3,8,1,6,5,2,4] => 1010110 => 0110101 => 1001010
[8,3,7,1,6,5,2,4] => 1010110 => 0110101 => 1001010
[5,1,7,4,2,8,6,3] => 1011011 => 1101101 => 0010010
[2,8,1,7,6,5,3,4] => 0101110 => 0111010 => 1000101
[4,2,8,6,5,1,7,3] => 1011101 => 1011101 => 0100010
[6,4,2,8,5,1,7,3] => 1101101 => 1011011 => 0100100
[8,6,4,7,1,5,2,3] => 1101010 => 0101011 => 1010100
[7,6,4,8,1,5,2,3] => 1101010 => 0101011 => 1010100
[5,1,6,4,2,3,8,7] => 1011001 => 1001101 => 0110010
[4,2,3,8,7,5,1,6] => 1001110 => 0111001 => 1000110
[3,8,7,1,6,5,2,4] => 0110110 => 0110110 => 1001001
[2,4,3,8,1,6,7,5] => 0101001 => 1001010 => 0110101
[2,4,3,7,1,6,8,5] => 0101001 => 1001010 => 0110101
[4,2,3,7,8,5,1,6] => 1000110 => 0110001 => 1001110
[5,1,6,4,2,3,7,8] => 1011000 => 0001101 => 1110010
[6,4,7,8,1,5,2,3] => 1001010 => 0101001 => 1010110
[8,7,4,6,1,5,2,3] => 1101010 => 0101011 => 1010100
[6,5,7,8,1,4,2,3] => 1001010 => 0101001 => 1010110
[4,7,8,6,1,5,2,3] => 0011010 => 0101100 => 1010011
[3,2,4,7,8,1,5,6] => 1000100 => 0010001 => 1101110
[3,2,4,8,7,1,5,6] => 1001100 => 0011001 => 1100110
[4,8,7,6,1,5,2,3] => 0111010 => 0101110 => 1010001
[5,8,7,6,1,4,2,3] => 0111010 => 0101110 => 1010001
[8,6,5,7,1,4,2,3] => 1101010 => 0101011 => 1010100
[5,1,6,7,4,2,3,8] => 1001100 => 0011001 => 1100110
[6,7,4,8,1,5,2,3] => 0101010 => 0101010 => 1010101
[8,4,7,6,1,5,2,3] => 1011010 => 0101101 => 1010010
[8,3,2,4,7,1,5,6] => 1100100 => 0010011 => 1101100
[7,3,2,4,8,1,5,6] => 1100100 => 0010011 => 1101100
[2,5,3,7,1,6,4,8] => 0101010 => 0101010 => 1010101
[8,4,6,7,1,5,2,3] => 1001010 => 0101001 => 1010110
[7,4,6,8,1,5,2,3] => 1001010 => 0101001 => 1010110
[5,1,6,8,4,2,3,7] => 1001100 => 0011001 => 1100110
[4,2,3,7,5,1,6,8] => 1001100 => 0011001 => 1100110
[3,7,5,8,1,6,2,4] => 0101010 => 0101010 => 1010101
[2,4,3,7,1,6,5,8] => 0101010 => 0101010 => 1010101
[2,4,7,1,5,8,6,3] => 0010011 => 1100100 => 0011011
[3,2,4,7,6,1,5,8] => 1001100 => 0011001 => 1100110
[4,7,6,8,1,5,2,3] => 0101010 => 0101010 => 1010101
[8,5,6,7,1,4,2,3] => 1001010 => 0101001 => 1010110
[8,6,7,5,1,4,2,3] => 1011010 => 0101101 => 1010010
[7,6,8,5,1,4,2,3] => 1011010 => 0101101 => 1010010
[6,8,7,5,1,4,2,3] => 0111010 => 0101110 => 1010001
[5,6,8,7,1,4,2,3] => 0011010 => 0101100 => 1010011
[4,6,8,7,1,5,2,3] => 0011010 => 0101100 => 1010011
[2,4,6,7,1,5,8,3] => 0001001 => 1001000 => 0110111
[3,2,4,6,1,5,7,8] => 1001000 => 0001001 => 1110110
[6,7,8,5,1,4,2,3] => 0011010 => 0101100 => 1010011
[7,8,6,5,1,4,2,3] => 0111010 => 0101110 => 1010001
[3,1,7,5,4,2,8,6] => 1011101 => 1011101 => 0100010
[2,1,8,5,4,6,3,7] => 1011010 => 0101101 => 1010010
[4,1,8,5,2,3,6,7] => 1011000 => 0001101 => 1110010
[5,4,1,3,6,7,2,8] => 1100010 => 0100011 => 1011100
[8,4,1,2,6,3,7,5] => 1100101 => 1010011 => 0101100
[8,2,7,1,5,3,4,6] => 1010100 => 0010101 => 1101010
[3,2,7,1,5,8,4,6] => 1010010 => 0100101 => 1011010
[6,3,7,1,5,4,2,8] => 1010110 => 0110101 => 1001010
[7,3,8,1,5,4,2,6] => 1010110 => 0110101 => 1001010
[7,1,5,3,8,4,2,6] => 1010110 => 0110101 => 1001010
[4,5,1,3,6,8,2,7] => 0100010 => 0100010 => 1011101
[3,6,8,1,5,4,2,7] => 0010110 => 0110100 => 1001011
[6,8,3,1,5,4,2,7] => 0110110 => 0110110 => 1001001
[7,6,3,1,5,4,2,8] => 1110110 => 0110111 => 1001000
[3,6,2,1,5,8,4,7] => 0110010 => 0100110 => 1011001
[8,6,2,1,5,3,4,7] => 1110100 => 0010111 => 1101000
[4,8,2,1,7,5,3,6] => 0110110 => 0110110 => 1001001
[2,3,8,1,5,7,4,6] => 0010010 => 0100100 => 1011011
[7,1,3,2,8,6,4,5] => 1010110 => 0110101 => 1001010
[7,1,6,2,8,3,4,5] => 1010100 => 0010101 => 1101010
[4,7,1,2,6,3,8,5] => 0100101 => 1010010 => 0101101
[2,7,8,1,5,3,4,6] => 0010100 => 0010100 => 1101011
[6,7,2,1,5,3,4,8] => 0110100 => 0010110 => 1101001
[4,7,2,1,8,5,3,6] => 0110110 => 0110110 => 1001001
[8,7,2,1,4,5,3,6] => 1110010 => 0100111 => 1011000
[8,7,5,6,1,4,3,2] => 1101011 => 1101011 => 0010100
[5,7,8,6,1,4,3,2] => 0011011 => 1101100 => 0010011
[2,7,4,1,6,5,3,8] => 0110110 => 0110110 => 1001001
[3,7,1,4,5,6,8,2] => 0100001 => 1000010 => 0111101
[7,1,6,4,5,8,3,2] => 1010011 => 1100101 => 0011010
[3,5,1,4,7,6,8,2] => 0100101 => 1010010 => 0101101
[2,6,4,1,7,5,3,8] => 0110110 => 0110110 => 1001001
[5,6,8,7,1,4,3,2] => 0011011 => 1101100 => 0010011
[6,8,5,7,1,4,3,2] => 0101011 => 1101010 => 0010101
[8,6,5,7,1,4,3,2] => 1101011 => 1101011 => 0010100
[8,5,7,6,1,4,3,2] => 1011011 => 1101101 => 0010010
[6,5,7,8,1,4,3,2] => 1001011 => 1101001 => 0010110
[7,2,3,1,5,6,4,8] => 1010010 => 0100101 => 1011010
[4,2,8,1,6,5,3,7] => 1010110 => 0110101 => 1001010
[6,2,4,1,8,5,3,7] => 1010110 => 0110101 => 1001010
[8,3,1,4,5,6,7,2] => 1100001 => 1000011 => 0111100
[5,3,1,4,8,6,7,2] => 1100101 => 1010011 => 0101100
[7,5,1,6,3,4,8,2] => 1101001 => 1001011 => 0110100
[7,1,5,8,4,3,6,2] => 1001101 => 1011001 => 0100110
[5,8,1,6,4,3,7,2] => 0101101 => 1011010 => 0100101
[5,3,1,8,4,6,7,2] => 1101001 => 1001011 => 0110100
[8,3,1,5,4,6,7,2] => 1101001 => 1001011 => 0110100
[8,2,6,1,4,5,3,7] => 1010010 => 0100101 => 1011010
[6,2,8,1,4,5,3,7] => 1010010 => 0100101 => 1011010
[7,2,6,1,5,3,4,8] => 1010100 => 0010101 => 1101010
[2,8,6,1,5,3,4,7] => 0110100 => 0010110 => 1101001
[4,2,1,5,6,3,8,7] => 1100101 => 1010011 => 0101100
[7,1,2,5,8,3,4,6] => 1000100 => 0010001 => 1101110
[7,1,4,5,6,8,3,2] => 1000011 => 1100001 => 0011110
[8,5,6,7,1,4,3,2] => 1001011 => 1101001 => 0010110
[7,6,8,5,1,4,3,2] => 1011011 => 1101101 => 0010010
[6,8,7,5,1,4,3,2] => 0111011 => 1101110 => 0010001
[2,6,7,1,4,5,3,8] => 0010010 => 0100100 => 1011011
[3,5,1,7,4,6,8,2] => 0101001 => 1001010 => 0110101
[7,1,5,6,4,8,3,2] => 1001011 => 1101001 => 0010110
[7,1,6,5,4,8,3,2] => 1011011 => 1101101 => 0010010
[2,7,6,1,4,5,3,8] => 0110010 => 0100110 => 1011001
[5,7,6,8,1,4,3,2] => 0101011 => 1101010 => 0010101
[7,8,6,5,1,4,3,2] => 0111011 => 1101110 => 0010001
[4,3,1,6,5,8,7,2] => 1101011 => 1101011 => 0010100
[5,3,1,2,4,8,7,6] => 1100011 => 1100011 => 0011100
[5,3,6,2,1,8,7,4] => 1011011 => 1101101 => 0010010
[5,3,7,2,1,4,6,8] => 1011000 => 0001101 => 1110010
[5,3,7,2,8,4,1,6] => 1010110 => 0110101 => 1001010
[7,2,4,5,8,3,1,6] => 1000110 => 0110001 => 1001110
[7,2,4,5,1,3,6,8] => 1001000 => 0001001 => 1110110
[6,2,4,5,1,8,7,3] => 1001011 => 1101001 => 0010110
[3,1,4,5,2,8,7,6] => 1001011 => 1101001 => 0010110
[1,6,4,5,2,8,7,3] => 0101011 => 1101010 => 0010101
[3,7,4,5,1,2,6,8] => 0101000 => 0001010 => 1110101
[3,7,4,5,8,2,1,6] => 0100110 => 0110010 => 1001101
[1,7,4,2,6,3,5,8] => 0110100 => 0010110 => 1101001
[8,7,4,5,2,1,6,3] => 1101101 => 1011011 => 0100100
[6,3,7,1,8,4,2,5] => 1010110 => 0110101 => 1001010
[5,7,4,1,6,3,2,8] => 0110110 => 0110110 => 1001001
[1,7,4,8,6,3,2,5] => 0101110 => 0111010 => 1000101
[5,7,4,8,6,3,1,2] => 0101110 => 0111010 => 1000101
[4,8,3,5,6,7,1,2] => 0100010 => 0100010 => 1011101
[1,8,3,5,6,7,2,4] => 0100010 => 0100010 => 1011101
[4,8,1,5,6,7,2,3] => 0100010 => 0100010 => 1011101
[4,1,3,5,6,7,2,8] => 1000010 => 0100001 => 1011110
[5,8,4,3,6,1,2,7] => 0110100 => 0010110 => 1101001
[5,3,8,4,1,7,2,6] => 1011010 => 0101101 => 1010010
[1,5,8,4,6,7,3,2] => 0010011 => 1100100 => 0011011
[1,4,8,3,6,7,5,2] => 0010011 => 1100100 => 0011011
[4,3,8,2,1,7,5,6] => 1011010 => 0101101 => 1010010
[3,8,4,2,6,1,5,7] => 0110100 => 0010110 => 1101001
[1,8,2,5,6,7,4,3] => 0100011 => 1100010 => 0011101
[3,8,1,5,6,7,4,2] => 0100011 => 1100010 => 0011101
[3,8,2,5,6,7,1,4] => 0100010 => 0100010 => 1011101
[8,2,1,5,6,7,4,3] => 1100011 => 1100011 => 0011100
[8,1,3,5,6,7,4,2] => 1000011 => 1100001 => 0011110
[7,1,4,3,6,2,5,8] => 1010100 => 0010101 => 1101010
[7,8,4,3,6,2,1,5] => 0110110 => 0110110 => 1001001
[4,3,1,8,5,7,6,2] => 1101011 => 1101011 => 0010100
[4,3,1,6,8,7,5,2] => 1100111 => 1110011 => 0001100
[6,3,1,8,2,7,4,5] => 1101010 => 0101011 => 1010100
[6,3,5,8,2,7,1,4] => 1001010 => 0101001 => 1010110
[7,5,4,8,6,2,1,3] => 1101110 => 0111011 => 1000100
[7,1,4,8,6,2,3,5] => 1001100 => 0011001 => 1100110
[7,5,4,1,6,2,3,8] => 1110100 => 0010111 => 1101000
[7,6,4,5,8,1,3,2] => 1100101 => 1010011 => 0101100
[1,6,4,5,8,2,3,7] => 0100100 => 0010010 => 1101101
[7,3,6,1,8,2,4,5] => 1010100 => 0010101 => 1101010
[1,7,6,5,8,3,4,2] => 0110101 => 1010110 => 0101001
[1,8,5,3,6,7,4,2] => 0110011 => 1100110 => 0011001
[8,3,5,2,1,7,4,6] => 1011010 => 0101101 => 1010010
[8,4,1,5,6,7,3,2] => 1100011 => 1100011 => 0011100
[8,4,2,5,6,7,1,3] => 1100010 => 0100011 => 1011100
[4,1,8,5,6,7,3,2] => 1010011 => 1100101 => 0011010
[1,2,8,5,6,7,3,4] => 0010010 => 0100100 => 1011011
[4,2,1,5,6,7,3,8] => 1100010 => 0100011 => 1011100
[1,5,3,8,6,7,4,2] => 0101011 => 1101010 => 0010101
[1,4,5,8,6,7,3,2] => 0001011 => 1101000 => 0010111
[4,3,5,8,1,7,2,6] => 1001010 => 0101001 => 1010110
[3,5,4,8,6,1,2,7] => 0101100 => 0011010 => 1100101
[1,4,8,5,6,7,2,3] => 0010010 => 0100100 => 1011011
[3,4,8,5,6,7,1,2] => 0010010 => 0100100 => 1011011
[2,7,1,5,6,3,4,8] => 0100100 => 0010010 => 1101101
[2,7,1,4,3,6,5,8] => 0101010 => 0101010 => 1010101
[4,3,7,2,5,6,8,1] => 1010001 => 1000101 => 0111010
[2,6,3,1,4,5,8,7] => 0110001 => 1000110 => 0111001
[3,7,1,4,2,6,8,5] => 0101001 => 1001010 => 0110101
[3,7,1,5,6,2,8,4] => 0100101 => 1010010 => 0101101
[4,7,1,5,6,8,2,3] => 0100010 => 0100010 => 1011101
[8,5,2,6,7,3,1,4] => 1100110 => 0110011 => 1001100
[8,4,2,6,3,7,1,5] => 1101010 => 0101011 => 1010100
[8,4,2,3,5,7,1,6] => 1100010 => 0100011 => 1011100
[4,7,3,2,5,6,1,8] => 0110010 => 0100110 => 1011001
[5,3,4,6,2,8,1,7] => 1001010 => 0101001 => 1010110
[5,3,7,4,2,8,1,6] => 1011010 => 0101101 => 1010010
[6,4,7,2,3,8,1,5] => 1010010 => 0100101 => 1011010
[6,5,7,2,8,3,1,4] => 1010110 => 0110101 => 1001010
[5,3,7,2,4,8,6,1] => 1010011 => 1100101 => 0011010
[2,6,5,1,8,3,4,7] => 0110100 => 0010110 => 1101001
[8,7,6,1,4,5,2,3] => 1110010 => 0100111 => 1011000
[8,7,6,1,3,2,5,4] => 1110101 => 1010111 => 0101000
[8,7,2,4,3,1,6,5] => 1101101 => 1011011 => 0100100
[8,7,4,5,1,6,2,3] => 1101010 => 0101011 => 1010100
[8,5,6,4,1,7,2,3] => 1011010 => 0101101 => 1010010
[8,5,6,3,1,2,7,4] => 1011001 => 1001101 => 0110010
[8,4,6,2,3,1,7,5] => 1010101 => 1010101 => 0101010
[8,3,5,4,2,1,7,6] => 1011101 => 1011101 => 0100010
[5,7,3,4,2,1,8,6] => 0101101 => 1011010 => 0100101
[6,7,4,2,3,1,8,5] => 0110101 => 1010110 => 0101001
[6,7,5,3,1,2,8,4] => 0111001 => 1001110 => 0110001
[6,7,5,4,1,8,2,3] => 0111010 => 0101110 => 1010001
[10,3,1,2,4,5,6,7,8,9] => 110000000 => 000000011 => 111111100
[10,4,1,2,3,5,6,7,8,9] => 110000000 => 000000011 => 111111100
[5,10,1,2,3,4,6,7,8,9] => 010000000 => 000000010 => 111111101
[10,6,1,2,3,4,5,7,8,9] => 110000000 => 000000011 => 111111100
[10,7,1,2,3,4,5,6,8,9] => 110000000 => 000000011 => 111111100
[8,10,1,2,3,4,5,6,7,9] => 010000000 => 000000010 => 111111101
[2,11,1,3,4,5,6,7,8,9,10] => 0100000000 => 0000000010 => 1111111101
[2,3,10,1,4,5,6,7,8,9] => 001000000 => 000000100 => 111111011
[11,3,1,2,4,5,6,7,8,9,10] => 1100000000 => 0000000011 => 1111111100
[4,3,1,10,2,5,6,7,8,9] => 110100000 => 000001011 => 111110100
[11,4,1,2,3,5,6,7,8,9,10] => 1100000000 => 0000000011 => 1111111100
[5,4,1,2,10,3,6,7,8,9] => 110010000 => 000010011 => 111101100
[5,11,1,2,3,4,6,7,8,9,10] => 0100000000 => 0000000010 => 1111111101
[5,6,1,2,3,10,4,7,8,9] => 010001000 => 000100010 => 111011101
[11,6,1,2,3,4,5,7,8,9,10] => 1100000000 => 0000000011 => 1111111100
[7,6,1,2,3,4,10,5,8,9] => 110000100 => 001000011 => 110111100
[11,7,1,2,3,4,5,6,8,9,10] => 1100000000 => 0000000011 => 1111111100
[8,7,1,2,3,4,5,10,6,9] => 110000010 => 010000011 => 101111100
[8,11,1,2,3,4,5,6,7,9,10] => 0100000000 => 0000000010 => 1111111101
[8,9,1,2,3,4,5,6,10,7] => 010000001 => 100000010 => 011111101
[11,9,1,2,3,4,5,6,7,8,10] => 1100000000 => 0000000011 => 1111111100
[6,2,4,3,8,7,5,1] => 1010111 => 1110101 => 0001010
[7,3,5,4,1,8,6,2] => 1011011 => 1101101 => 0010010
[5,2,7,1,3,4,8,6] => 1010001 => 1000101 => 0111010
[2,6,5,7,3,1,4,8] => 0101100 => 0011010 => 1100101
[2,6,5,7,3,1,8,4] => 0101101 => 1011010 => 0100101
[6,3,1,4,7,8,5,2] => 1100011 => 1100011 => 0011100
[6,8,2,1,3,4,5,7] => 0110000 => 0000110 => 1111001
[3,7,1,8,4,5,2,6] => 0101010 => 0101010 => 1010101
[6,3,2,4,7,5,8,1] => 1100101 => 1010011 => 0101100
[6,3,2,4,7,5,1,8] => 1100110 => 0110011 => 1001100
[4,2,1,6,3,7,5,8] => 1101010 => 0101011 => 1010100
[4,2,1,6,3,7,8,5] => 1101001 => 1001011 => 0110100
[7,4,3,5,8,6,1,2] => 1100110 => 0110011 => 1001100
[2,7,6,8,3,1,4,5] => 0101100 => 0011010 => 1100101
[7,4,3,5,8,6,2,1] => 1100111 => 1110011 => 0001100
[4,2,1,7,3,8,6,5] => 1101011 => 1101011 => 0010100
[4,2,1,3,7,8,6,5] => 1100011 => 1100011 => 0011100
[5,8,1,7,4,3,6,2] => 0101101 => 1011010 => 0100101
[5,8,1,7,4,3,2,6] => 0101110 => 0111010 => 1000101
[3,7,8,6,2,1,4,5] => 0011100 => 0011100 => 1100011
[4,2,1,8,3,5,6,7] => 1101000 => 0001011 => 1110100
[4,2,1,3,6,7,5,8] => 1100010 => 0100011 => 1011100
[4,2,1,3,7,5,6,8] => 1100100 => 0010011 => 1101100
[4,2,1,3,6,8,7,5] => 1100011 => 1100011 => 0011100
[7,3,2,4,8,6,5,1] => 1100111 => 1110011 => 0001100
[4,2,1,6,3,8,7,5] => 1101011 => 1101011 => 0010100
[4,2,1,7,3,5,6,8] => 1101000 => 0001011 => 1110100
[3,6,7,5,2,1,4,8] => 0011100 => 0011100 => 1100011
[3,6,7,5,2,1,8,4] => 0011101 => 1011100 => 0100011
[7,3,4,2,6,8,5,1] => 1010011 => 1100101 => 0011010
[4,8,6,2,7,3,5,1] => 0110101 => 1010110 => 0101001
[7,3,4,2,6,8,1,5] => 1010010 => 0100101 => 1011010
[3,6,7,5,2,4,8,1] => 0011001 => 1001100 => 0110011
[3,6,7,5,2,4,1,8] => 0011010 => 0101100 => 1010011
[4,2,1,7,3,6,5,8] => 1101010 => 0101011 => 1010100
[4,2,1,7,3,6,8,5] => 1101001 => 1001011 => 0110100
[3,7,6,8,4,2,5,1] => 0101101 => 1011010 => 0100101
[5,8,1,7,4,2,6,3] => 0101101 => 1011010 => 0100101
[3,7,8,6,2,4,5,1] => 0011001 => 1001100 => 0110011
[4,2,1,3,8,6,7,5] => 1100101 => 1010011 => 0101100
[4,2,1,3,7,6,5,8] => 1100110 => 0110011 => 1001100
[4,2,1,3,5,7,6,8] => 1100010 => 0100011 => 1011100
[4,2,1,3,5,8,6,7] => 1100010 => 0100011 => 1011100
[4,8,1,7,3,6,5,2] => 0101011 => 1101010 => 0010101
[4,7,8,6,3,5,2,1] => 0011011 => 1101100 => 0010011
[4,2,1,8,3,7,6,5] => 1101011 => 1101011 => 0010100
[4,2,1,3,5,6,8,7] => 1100001 => 1000011 => 0111100
[7,8,2,4,1,3,6,5] => 0101001 => 1001010 => 0110101
[2,6,1,5,4,7,8,3] => 0101001 => 1001010 => 0110101
[4,6,3,5,8,7,1,2] => 0100110 => 0110010 => 1001101
[3,5,6,1,4,8,7,2] => 0010011 => 1100100 => 0011011
[2,3,6,8,4,1,5,7] => 0001100 => 0011000 => 1100111
[2,7,5,1,8,3,4,6] => 0110100 => 0010110 => 1101001
[4,7,5,2,1,3,6,8] => 0111000 => 0001110 => 1110001
[3,5,6,2,4,1,7,8] => 0010100 => 0010100 => 1101011
[2,5,6,1,4,8,3,7] => 0010010 => 0100100 => 1011011
[6,7,8,4,1,5,3,2] => 0011011 => 1101100 => 0010011
[7,1,6,8,4,5,3,2] => 1001011 => 1101001 => 0010110
[7,4,6,5,2,8,1,3] => 1011010 => 0101101 => 1010010
[7,1,5,6,4,2,3,8] => 1001100 => 0011001 => 1100110
[5,7,4,6,8,1,3,2] => 0100101 => 1010010 => 0101101
[5,7,8,1,4,6,3,2] => 0010011 => 1100100 => 0011011
[8,1,5,7,4,6,3,2] => 1001011 => 1101001 => 0010110
[1,8,4,6,7,5,3,2] => 0100111 => 1110010 => 0001101
[6,1,8,4,7,5,3,2] => 1010111 => 1110101 => 0001010
[4,5,8,6,1,7,3,2] => 0011011 => 1101100 => 0010011
[4,8,5,1,6,7,3,2] => 0110011 => 1100110 => 0011001
[8,1,4,5,6,7,3,2] => 1000011 => 1100001 => 0011110
[5,6,7,1,4,2,3,8] => 0010100 => 0010100 => 1101011
[8,4,2,6,1,5,7,3] => 1101001 => 1001011 => 0110100
[4,8,5,2,1,6,7,3] => 0111001 => 1001110 => 0110001
[5,1,8,4,2,6,3,7] => 1011010 => 0101101 => 1010010
[1,8,4,6,2,5,3,7] => 0101010 => 0101010 => 1010101
[6,1,5,2,3,4,7,8] => 1010000 => 0000101 => 1111010
[8,3,1,4,6,2,5,7] => 1100100 => 0010011 => 1101100
[3,1,8,2,5,6,4,7] => 1010010 => 0100101 => 1011010
[3,5,1,8,2,6,4,7] => 0101010 => 0101010 => 1010101
[3,5,1,2,8,4,7,6] => 0100101 => 1010010 => 0101101
[2,3,5,8,6,1,7,4] => 0001101 => 1011000 => 0100111
[8,2,4,3,6,7,1,5] => 1010010 => 0100101 => 1011010
[3,2,8,5,7,1,6,4] => 1010101 => 1010101 => 0101010
[3,6,2,8,5,1,7,4] => 0101101 => 1011010 => 0100101
[6,2,1,8,4,7,5,3] => 1101011 => 1101011 => 0010100
[2,8,7,1,4,6,5,3] => 0110011 => 1100110 => 0011001
[8,2,7,1,5,4,6,3] => 1010101 => 1010101 => 0101010
[7,2,5,3,6,8,1,4] => 1010010 => 0100101 => 1011010
[7,3,1,5,6,2,4,8] => 1100100 => 0010011 => 1101100
[3,7,5,1,6,2,4,8] => 0110100 => 0010110 => 1101001
[2,7,3,6,5,8,1,4] => 0101010 => 0101010 => 1010101
[8,7,2,4,1,6,5,3] => 1101011 => 1101011 => 0010100
[1,8,7,2,3,6,5,4] => 0110011 => 1100110 => 0011001
[1,7,8,2,6,4,3,5] => 0010110 => 0110100 => 1001011
[1,7,3,8,2,6,4,5] => 0101010 => 0101010 => 1010101
[1,2,7,3,6,4,5,8] => 0010100 => 0010100 => 1101011
[7,1,5,8,3,2,4,6] => 1001100 => 0011001 => 1100110
[1,6,2,8,4,3,7,5] => 0101101 => 1011010 => 0100101
[1,3,8,7,2,4,6,5] => 0011001 => 1001100 => 0110011
[1,8,3,7,2,5,4,6] => 0101010 => 0101010 => 1010101
[8,1,4,7,3,2,5,6] => 1001100 => 0011001 => 1100110
[4,7,8,1,3,2,5,6] => 0010100 => 0010100 => 1101011
[7,1,4,2,3,5,6,8] => 1010000 => 0000101 => 1111010
[8,2,1,4,7,3,5,6] => 1100100 => 0010011 => 1101100
[2,1,3,8,4,6,7,5] => 1001001 => 1001001 => 0110110
[1,2,3,4,8,5,7,6] => 0000101 => 1010000 => 0101111
[2,4,7,5,6,8,3,1] => 0010011 => 1100100 => 0011011
[2,4,8,7,5,6,3,1] => 0011011 => 1101100 => 0010011
[2,5,3,8,4,7,6,1] => 0101011 => 1101010 => 0010101
[2,8,5,7,3,6,4,1] => 0101011 => 1101010 => 0010101
[3,1,8,5,2,7,6,4] => 1011011 => 1101101 => 0010010
[2,8,6,3,4,5,7,1] => 0110001 => 1000110 => 0111001
[2,5,7,3,4,8,6,1] => 0010011 => 1100100 => 0011011
[8,3,7,6,1,4,5,2] => 1011001 => 1001101 => 0110010
[3,1,7,8,2,5,6,4] => 1001001 => 1001001 => 0110110
[7,3,8,5,1,6,4,2] => 1011011 => 1101101 => 0010010
[7,5,1,2,3,4,8,6] => 1100001 => 1000011 => 0111100
[4,8,1,5,2,7,3,6] => 0101010 => 0101010 => 1010101
[4,1,2,5,3,8,7,6] => 1001011 => 1101001 => 0010110
[4,3,6,8,7,5,1,2] => 1001110 => 0111001 => 1000110
[5,4,1,8,2,7,6,3] => 1101011 => 1101011 => 0010100
[6,4,8,1,2,5,3,7] => 1010010 => 0100101 => 1011010
[6,7,3,1,4,8,5,2] => 0110011 => 1100110 => 0011001
[5,4,1,6,8,2,7,3] => 1100101 => 1010011 => 0101100
[5,4,7,1,2,8,6,3] => 1010011 => 1100101 => 0011010
[6,7,4,1,2,8,3,5] => 0110010 => 0100110 => 1011001
[6,5,1,2,3,7,8,4] => 1100001 => 1000011 => 0111100
[6,5,1,2,3,4,8,7] => 1100001 => 1000011 => 0111100
[6,7,4,1,2,5,3,8] => 0110010 => 0100110 => 1011001
[2,4,6,3,5,7,1,8] => 0010010 => 0100100 => 1011011
[1,4,6,3,7,2,5,8] => 0010100 => 0010100 => 1101011
[8,6,2,5,3,1,7,4] => 1101101 => 1011011 => 0100100
[8,2,3,4,5,1,7,6] => 1000101 => 1010001 => 0101110
[1,8,3,4,2,7,5,6] => 0101010 => 0101010 => 1010101
[2,8,3,4,1,6,7,5] => 0101001 => 1001010 => 0110101
[8,7,2,3,1,6,5,4] => 1101011 => 1101011 => 0010100
[3,8,2,4,6,1,7,5] => 0100101 => 1010010 => 0101101
[7,8,2,4,3,1,6,5] => 0101101 => 1011010 => 0100101
[4,5,8,2,3,1,7,6] => 0010101 => 1010100 => 0101011
[5,1,4,3,7,2,6,8] => 1010100 => 0010101 => 1101010
[6,1,3,5,7,2,4,8] => 1000100 => 0010001 => 1101110
[2,1,4,7,5,3,6,8] => 1001100 => 0011001 => 1100110
[7,1,3,6,2,5,4,8] => 1001010 => 0101001 => 1010110
[8,1,3,6,2,4,7,5] => 1001001 => 1001001 => 0110110
[2,1,8,3,7,5,4,6] => 1010110 => 0110101 => 1001010
[7,1,8,2,5,6,3,4] => 1010010 => 0100101 => 1011010
[6,1,5,8,2,7,3,4] => 1001010 => 0101001 => 1010110
[4,5,2,8,1,6,7,3] => 0101001 => 1001010 => 0110101
[6,2,5,8,1,4,7,3] => 1001001 => 1001001 => 0110110
[3,2,8,5,1,6,7,4] => 1011001 => 1001101 => 0110010
[8,2,7,1,4,6,5,3] => 1010011 => 1100101 => 0011010
[1,3,8,2,5,7,4,6] => 0010010 => 0100100 => 1011011
[2,8,7,1,6,4,5,3] => 0110101 => 1010110 => 0101001
[3,8,7,1,5,6,4,2] => 0110011 => 1100110 => 0011001
[3,4,8,5,6,1,7,2] => 0010101 => 1010100 => 0101011
[8,3,7,4,1,6,5,2] => 1011011 => 1101101 => 0010010
[1,4,8,6,2,7,3,5] => 0011010 => 0101100 => 1010011
[8,4,5,7,1,6,3,2] => 1001011 => 1101001 => 0010110
[3,5,6,8,4,1,7,2] => 0001101 => 1011000 => 0100111
[6,2,3,1,5,4,7,8] => 1010100 => 0010101 => 1101010
[7,2,3,1,4,6,5,8] => 1010010 => 0100101 => 1011010
[8,2,3,1,4,5,7,6] => 1010001 => 1000101 => 0111010
[8,5,1,3,2,4,7,6] => 1101001 => 1001011 => 0110100
[7,5,1,3,2,6,4,8] => 1101010 => 0101011 => 1010100
[2,6,1,4,5,3,7,8] => 0100100 => 0010010 => 1101101
[3,6,4,1,5,2,7,8] => 0110100 => 0010110 => 1101001
[4,5,6,1,3,2,7,8] => 0010100 => 0010100 => 1101011
[4,5,7,1,2,6,3,8] => 0010010 => 0100100 => 1011011
[3,7,4,1,2,6,5,8] => 0110010 => 0100110 => 1011001
[6,7,1,4,2,5,3,8] => 0101010 => 0101010 => 1010101
[2,7,1,3,5,6,4,8] => 0100010 => 0100010 => 1011101
[8,6,1,2,4,3,7,5] => 1100101 => 1010011 => 0101100
[2,8,1,3,4,6,7,5] => 0100001 => 1000010 => 0111101
[7,8,1,2,5,3,6,4] => 0100101 => 1010010 => 0101101
[3,8,4,1,2,5,7,6] => 0110001 => 1000110 => 0111001
[1,2,6,7,5,3,8,4] => 0001101 => 1011000 => 0100111
[1,7,5,3,2,8,4,6] => 0111010 => 0101110 => 1010001
[1,6,7,5,3,8,4,2] => 0011011 => 1101100 => 0010011
[1,6,5,7,2,3,8,4] => 0101001 => 1001010 => 0110101
[1,3,8,2,6,5,7,4] => 0010101 => 1010100 => 0101011
[1,2,5,7,6,3,4,8] => 0001100 => 0011000 => 1100111
[1,3,4,8,2,5,7,6] => 0001001 => 1001000 => 0110111
[1,5,7,6,2,3,4,8] => 0011000 => 0001100 => 1110011
[1,5,3,8,2,6,4,7] => 0101010 => 0101010 => 1010101
[1,4,8,3,2,5,7,6] => 0011001 => 1001100 => 0110011
[1,4,8,3,5,7,6,2] => 0010011 => 1100100 => 0011011
[1,2,4,8,3,5,7,6] => 0001001 => 1001000 => 0110111
[1,3,8,4,2,6,7,5] => 0011001 => 1001100 => 0110011
[1,4,8,2,3,5,7,6] => 0010001 => 1000100 => 0111011
[6,5,7,3,8,2,4,1] => 1010101 => 1010101 => 0101010
[4,2,6,7,5,8,3,1] => 1001011 => 1101001 => 0010110
[6,7,5,2,1,8,4,3] => 0111011 => 1101110 => 0010001
[3,4,8,7,5,2,1,6] => 0011110 => 0111100 => 1000011
[1,7,5,2,8,4,6,3] => 0110101 => 1010110 => 0101001
[5,6,8,3,1,7,2,4] => 0011010 => 0101100 => 1010011
[6,1,4,8,3,2,7,5] => 1001101 => 1011001 => 0100110
[3,4,7,1,8,6,2,5] => 0010110 => 0110100 => 1001011
[3,4,6,8,2,1,5,7] => 0001100 => 0011000 => 1100111
[3,8,2,5,6,1,4,7] => 0100100 => 0010010 => 1101101
[3,5,2,8,6,4,1,7] => 0101110 => 0111010 => 1000101
[4,2,5,7,3,8,6,1] => 1001011 => 1101001 => 0010110
[7,4,2,5,3,8,1,6] => 1101010 => 0101011 => 1010100
[3,1,2,8,5,6,4,7] => 1001010 => 0101001 => 1010110
[5,2,1,6,8,3,4,7] => 1100100 => 0010011 => 1101100
[5,2,6,8,4,1,3,7] => 1001100 => 0011001 => 1100110
[1,5,6,8,3,4,2,7] => 0001010 => 0101000 => 1010111
[4,5,8,1,6,3,2,7] => 0010110 => 0110100 => 1001011
[4,5,1,6,8,3,2,7] => 0100110 => 0110010 => 1001101
[4,5,7,3,8,2,6,1] => 0010101 => 1010100 => 0101011
[6,4,3,7,8,2,5,1] => 1100101 => 1010011 => 0101100
[6,4,3,1,7,8,2,5] => 1110010 => 0100111 => 1011000
[4,5,3,1,7,8,2,6] => 0110010 => 0100110 => 1011001
[7,1,3,5,4,8,2,6] => 1001010 => 0101001 => 1010110
[7,5,2,8,1,4,3,6] => 1101010 => 0101011 => 1010100
[5,7,3,8,4,6,1,2] => 0101010 => 0101010 => 1010101
[1,4,5,7,3,8,6,2] => 0001011 => 1101000 => 0010111
[4,6,3,7,8,5,2,1] => 0100111 => 1110010 => 0001101
[5,3,6,7,8,4,2,1] => 1000111 => 1110001 => 0001110
[1,5,3,6,7,8,4,2] => 0100011 => 1100010 => 0011101
[4,6,1,7,3,8,5,2] => 0101011 => 1101010 => 0010101
[6,3,7,1,8,4,5,2] => 1010101 => 1010101 => 0101010
[6,7,2,4,8,1,5,3] => 0100101 => 1010010 => 0101101
[2,6,1,4,7,3,8,5] => 0100101 => 1010010 => 0101101
[3,2,5,6,7,8,1,4] => 1000010 => 0100001 => 1011110
[5,2,3,6,7,8,4,1] => 1000011 => 1100001 => 0011110
[6,7,1,3,2,8,4,5] => 0101010 => 0101010 => 1010101
[6,2,7,1,3,4,8,5] => 1010001 => 1000101 => 0111010
[5,2,1,7,3,8,4,6] => 1101010 => 0101011 => 1010100
[6,4,2,7,1,8,3,5] => 1101010 => 0101011 => 1010100
[4,2,6,3,7,8,1,5] => 1010010 => 0100101 => 1011010
[4,2,6,3,7,8,5,1] => 1010011 => 1100101 => 0011010
[6,7,3,8,2,4,5,1] => 0101001 => 1001010 => 0110101
[3,6,2,7,4,1,8,5] => 0101101 => 1011010 => 0100101
[6,7,3,2,1,4,8,5] => 0111001 => 1001110 => 0110001
[7,1,8,3,4,2,5,6] => 1010100 => 0010101 => 1101010
[7,2,4,1,8,3,5,6] => 1010100 => 0010101 => 1101010
[7,2,4,8,6,1,3,5] => 1001100 => 0011001 => 1100110
[7,3,4,8,6,2,1,5] => 1001110 => 0111001 => 1000110
[3,5,7,2,1,8,6,4] => 0011011 => 1101100 => 0010011
[6,7,8,3,2,5,1,4] => 0011010 => 0101100 => 1010011
[6,3,7,8,2,5,4,1] => 1001011 => 1101001 => 0010110
[2,6,7,4,8,5,3,1] => 0010111 => 1110100 => 0001011
[6,2,4,7,1,8,5,3] => 1001011 => 1101001 => 0010110
[4,6,2,7,1,8,5,3] => 0101011 => 1101010 => 0010101
[1,7,4,8,5,2,6,3] => 0101101 => 1011010 => 0100101
[1,3,7,8,5,2,6,4] => 0001101 => 1011000 => 0100111
[2,5,7,8,1,6,3,4] => 0001010 => 0101000 => 1010111
[6,3,7,1,8,2,5,4] => 1010101 => 1010101 => 0101010
[1,6,4,7,8,2,5,3] => 0100101 => 1010010 => 0101101
[2,5,6,1,7,8,4,3] => 0010011 => 1100100 => 0011011
[5,6,1,2,7,8,4,3] => 0100011 => 1100010 => 0011101
[6,7,2,1,8,5,3,4] => 0110110 => 0110110 => 1001001
[6,7,2,8,5,4,1,3] => 0101110 => 0111010 => 1000101
[1,6,7,4,8,5,3,2] => 0010111 => 1110100 => 0001011
[1,8,2,4,6,3,5,7] => 0100100 => 0010010 => 1101101
[1,5,7,4,3,6,2,8] => 0011010 => 0101100 => 1010011
[1,8,4,5,3,6,2,7] => 0101010 => 0101010 => 1010101
[1,8,5,3,4,7,2,6] => 0110010 => 0100110 => 1011001
[1,8,2,4,6,3,7,5] => 0100101 => 1010010 => 0101101
[1,8,2,5,4,6,7,3] => 0101001 => 1001010 => 0110101
[3,6,2,7,1,4,5,8] => 0101000 => 0001010 => 1110101
[1,4,7,5,2,6,8,3] => 0011001 => 1001100 => 0110011
[4,6,5,3,7,1,8,2] => 0110101 => 1010110 => 0101001
[4,2,3,8,6,7,1,5] => 1001010 => 0101001 => 1010110
[5,2,4,8,1,3,7,6] => 1001001 => 1001001 => 0110110
[6,2,5,4,8,3,7,1] => 1010101 => 1010101 => 0101010
[6,4,3,5,8,2,7,1] => 1100101 => 1010011 => 0101100
[5,2,3,4,8,1,6,7] => 1000100 => 0010001 => 1101110
[3,5,2,4,7,1,6,8] => 0100100 => 0010010 => 1101101
[5,3,4,8,1,6,2,7] => 1001010 => 0101001 => 1010110
[4,5,3,7,1,6,2,8] => 0101010 => 0101010 => 1010101
[6,2,4,8,5,1,3,7] => 1001100 => 0011001 => 1100110
[7,6,3,8,5,1,2,4] => 1101100 => 0011011 => 1100100
[4,2,6,7,3,8,1,5] => 1001010 => 0101001 => 1010110
[1,5,7,4,2,8,6,3] => 0011011 => 1101100 => 0010011
[1,3,7,2,8,6,4,5] => 0010110 => 0110100 => 1001011
[1,4,3,7,8,6,2,5] => 0100110 => 0110010 => 1001101
[1,5,3,6,8,2,7,4] => 0100101 => 1010010 => 0101101
[4,3,6,5,7,8,1,2] => 1010010 => 0100101 => 1011010
[4,2,3,5,6,8,1,7] => 1000010 => 0100001 => 1011110
[4,2,6,7,3,8,5,1] => 1001011 => 1101001 => 0010110
[3,2,5,6,8,1,7,4] => 1000101 => 1010001 => 0101110
[6,4,5,2,3,8,7,1] => 1010011 => 1100101 => 0011010
[8,4,6,7,5,2,3,1] => 1001101 => 1011001 => 0100110
[4,6,5,2,3,1,8,7] => 0110101 => 1010110 => 0101001
[6,4,2,5,3,1,8,7] => 1101101 => 1011011 => 0100100
[6,4,2,5,3,8,7,1] => 1101011 => 1101011 => 0010100
[8,6,4,7,5,2,3,1] => 1101101 => 1011011 => 0100100
[8,6,2,7,4,5,3,1] => 1101011 => 1101011 => 0010100
[6,4,2,5,8,7,3,1] => 1100111 => 1110011 => 0001100
[4,6,2,5,3,8,7,1] => 0101011 => 1101010 => 0010101
[4,6,5,2,3,8,7,1] => 0110011 => 1100110 => 0011001
[6,8,7,4,5,2,3,1] => 0110101 => 1010110 => 0101001
[4,8,6,7,5,2,3,1] => 0101101 => 1011010 => 0100101
[6,8,4,7,5,2,3,1] => 0101101 => 1011010 => 0100101
[6,8,2,7,4,5,3,1] => 0101011 => 1101010 => 0010101
[8,6,4,7,2,5,3,1] => 1101011 => 1101011 => 0010100
[8,6,2,4,7,5,3,1] => 1100111 => 1110011 => 0001100
[6,8,2,4,7,5,3,1] => 0100111 => 1110010 => 0001101
[4,8,2,6,7,5,3,1] => 0100111 => 1110010 => 0001101
[2,8,4,6,7,5,3,1] => 0100111 => 1110010 => 0001101
[2,8,6,7,4,5,3,1] => 0101011 => 1101010 => 0010101
[6,8,7,2,4,5,3,1] => 0110011 => 1100110 => 0011001
[2,6,4,5,8,7,3,1] => 0100111 => 1110010 => 0001101
[2,6,4,8,7,5,3,1] => 0101111 => 1111010 => 0000101
[4,6,2,8,7,5,3,1] => 0101111 => 1111010 => 0000101
[8,2,4,6,7,5,3,1] => 1000111 => 1110001 => 0001110
[6,2,4,8,7,5,3,1] => 1001111 => 1111001 => 0000110
[4,2,6,8,7,5,3,1] => 1001111 => 1111001 => 0000110
[4,2,6,5,8,7,3,1] => 1010111 => 1110101 => 0001010
[6,2,4,5,8,7,3,1] => 1000111 => 1110001 => 0001110
[8,2,6,7,4,5,3,1] => 1001011 => 1101001 => 0010110
[8,6,7,2,4,5,3,1] => 1010011 => 1100101 => 0011010
[6,4,5,2,8,7,3,1] => 1010111 => 1110101 => 0001010
[4,2,3,6,8,7,5,1] => 1000111 => 1110001 => 0001110
[6,4,5,8,7,2,3,1] => 1001101 => 1011001 => 0100110
[8,6,7,4,2,5,3,1] => 1011011 => 1101101 => 0010010
[8,4,6,7,2,5,3,1] => 1001011 => 1101001 => 0010110
[6,4,8,7,2,5,3,1] => 1011011 => 1101101 => 0010010
[6,2,8,7,4,5,3,1] => 1011011 => 1101101 => 0010010
[6,4,8,7,5,2,3,1] => 1011101 => 1011101 => 0100010
[4,6,8,7,5,2,3,1] => 0011101 => 1011100 => 0100011
[4,6,5,8,7,2,3,1] => 0101101 => 1011010 => 0100101
[2,1,6,8,7,4,5,3] => 1001101 => 1011001 => 0100110
[2,6,8,7,4,5,3,1] => 0011011 => 1101100 => 0010011
[2,4,8,6,7,5,3,1] => 0010111 => 1110100 => 0001011
[4,2,8,6,7,5,3,1] => 1010111 => 1110101 => 0001010
[6,2,8,4,7,5,3,1] => 1010111 => 1110101 => 0001010
[8,2,6,4,7,5,3,1] => 1010111 => 1110101 => 0001010
[6,4,8,2,7,5,3,1] => 1010111 => 1110101 => 0001010
[4,6,8,2,7,5,3,1] => 0010111 => 1110100 => 0001011
[2,6,8,4,7,5,3,1] => 0010111 => 1110100 => 0001011
[4,6,8,7,2,5,3,1] => 0011011 => 1101100 => 0010011
[4,6,5,8,2,7,3,1] => 0101011 => 1101010 => 0010101
[2,1,6,8,4,7,5,3] => 1001011 => 1101001 => 0010110
[2,1,8,6,4,7,5,3] => 1011011 => 1101101 => 0010010
[6,8,7,4,2,5,3,1] => 0111011 => 1101110 => 0010001
[2,8,6,4,7,5,3,1] => 0110111 => 1110110 => 0001001
[4,8,6,2,7,5,3,1] => 0110111 => 1110110 => 0001001
[9,8,7,3,6,2,5,1,4] => 11101010 => 01010111 => 10101000
[9,8,7,6,3,5,1,2,4] => 11110100 => 00101111 => 11010000
[9,4,8,3,7,2,6,1,5] => 10101010 => 01010101 => 10101010
[9,8,4,7,3,6,1,2,5] => 11010100 => 00101011 => 11010100
[9,8,7,2,4,6,1,3,5] => 11100100 => 00100111 => 11011000
[9,8,7,4,6,1,2,3,5] => 11101000 => 00010111 => 11101000
[5,9,4,8,3,7,1,2,6] => 01010100 => 00101010 => 11010101
[9,5,8,2,4,7,1,3,6] => 10100100 => 00100101 => 11011010
[9,5,8,4,7,1,2,3,6] => 10101000 => 00010101 => 11101010
[9,8,3,5,7,1,2,4,6] => 11001000 => 00010011 => 11101100
[9,8,5,7,1,2,3,4,6] => 11010000 => 00001011 => 11110100
[6,9,3,5,8,1,2,4,7] => 01001000 => 00010010 => 11101101
[6,9,5,8,1,2,3,4,7] => 01010000 => 00001010 => 11110101
[9,2,4,6,8,1,3,5,7] => 10001000 => 00010001 => 11101110
[9,4,6,8,1,2,3,5,7] => 10010000 => 00001001 => 11110110
[9,6,8,1,2,3,4,5,7] => 10100000 => 00000101 => 11111010
[3,5,7,9,1,2,4,6,8] => 00010000 => 00001000 => 11110111
[5,7,9,1,2,3,4,6,8] => 00100000 => 00000100 => 11111011
[7,9,1,2,3,4,5,6,8] => 01000000 => 00000010 => 11111101
[10,9,8,7,6,5,2,4,1,3] => 111111010 => 010111111 => 101000000
[10,9,8,7,3,6,2,5,1,4] => 111101010 => 010101111 => 101010000
[10,9,8,7,6,3,5,1,2,4] => 111110100 => 001011111 => 110100000
[10,9,4,8,3,7,2,6,1,5] => 110101010 => 010101011 => 101010100
[10,9,8,4,7,3,6,1,2,5] => 111010100 => 001010111 => 110101000
[10,9,8,7,2,4,6,1,3,5] => 111100100 => 001001111 => 110110000
[10,9,8,7,4,6,1,2,3,5] => 111101000 => 000101111 => 111010000
[10,5,9,4,8,3,7,1,2,6] => 101010100 => 001010101 => 110101010
[10,9,5,8,2,4,7,1,3,6] => 110100100 => 001001011 => 110110100
[10,9,5,8,4,7,1,2,3,6] => 110101000 => 000101011 => 111010100
[10,9,8,3,5,7,1,2,4,6] => 111001000 => 000100111 => 111011000
[10,9,8,5,7,1,2,3,4,6] => 111010000 => 000010111 => 111101000
[6,10,5,9,2,4,8,1,3,7] => 010100100 => 001001010 => 110110101
[6,10,5,9,4,8,1,2,3,7] => 010101000 => 000101010 => 111010101
[10,3,6,9,2,5,8,1,4,7] => 100100100 => 001001001 => 110110110
[10,6,9,3,5,8,1,2,4,7] => 101001000 => 000100101 => 111011010
[10,6,9,5,8,1,2,3,4,7] => 101010000 => 000010101 => 111101010
[10,9,2,4,6,8,1,3,5,7] => 110001000 => 000100011 => 111011100
[10,9,4,6,8,1,2,3,5,7] => 110010000 => 000010011 => 111101100
[10,9,6,8,1,2,3,4,5,7] => 110100000 => 000001011 => 111110100
[4,7,10,3,6,9,1,2,5,8] => 001001000 => 000100100 => 111011011
[7,10,2,4,6,9,1,3,5,8] => 010001000 => 000100010 => 111011101
[7,10,4,6,9,1,2,3,5,8] => 010010000 => 000010010 => 111101101
[7,10,6,9,1,2,3,4,5,8] => 010100000 => 000001010 => 111110101
[10,3,5,7,9,1,2,4,6,8] => 100010000 => 000010001 => 111101110
[10,5,7,9,1,2,3,4,6,8] => 100100000 => 000001001 => 111110110
[10,7,9,1,2,3,4,5,6,8] => 101000000 => 000000101 => 111111010
[4,6,8,10,1,2,3,5,7,9] => 000100000 => 000001000 => 111110111
[6,8,10,1,2,3,4,5,7,9] => 001000000 => 000000100 => 111111011
[4,2,5,6,3,8,1,7] => 1001010 => 0101001 => 1010110
[6,2,5,7,4,8,3,1] => 1001011 => 1101001 => 0010110
[8,5,2,1,4,7,6,3] => 1110011 => 1100111 => 0011000
[6,7,3,2,5,8,4,1] => 0110011 => 1100110 => 0011001
[3,2,6,4,8,1,5,7] => 1010100 => 0010101 => 1101010
[2,3,6,4,7,8,5,1] => 0010011 => 1100100 => 0011011
[7,5,1,8,3,4,6,2] => 1101001 => 1001011 => 0110100
[5,7,8,2,6,3,4,1] => 0010101 => 1010100 => 0101011
[7,1,6,3,5,8,4,2] => 1010011 => 1100101 => 0011010
[6,3,1,7,8,4,5,2] => 1100101 => 1010011 => 0101100
[5,3,6,7,4,1,8,2] => 1001101 => 1011001 => 0100110
[7,3,1,2,5,8,6,4] => 1100011 => 1100011 => 0011100
[1,6,3,5,2,4,8,7] => 0101001 => 1001010 => 0110101
[3,4,8,2,7,5,1,6] => 0010110 => 0110100 => 1001011
[6,3,2,8,5,7,4,1] => 1101011 => 1101011 => 0010100
[3,8,4,7,2,5,6,1] => 0101001 => 1001010 => 0110101
[2,4,8,1,5,3,7,6] => 0010101 => 1010100 => 0101011
[3,4,8,1,6,2,7,5] => 0010101 => 1010100 => 0101011
[1,8,4,6,7,3,5,2] => 0100101 => 1010010 => 0101101
[8,1,6,3,4,5,7,2] => 1010001 => 1000101 => 0111010
[7,6,5,4,1,2,8,3] => 1111001 => 1001111 => 0110000
[5,7,6,8,3,4,2,1] => 0101011 => 1101010 => 0010101
[2,8,1,6,5,7,4,3] => 0101011 => 1101010 => 0010101
[4,6,8,2,5,3,7,1] => 0010101 => 1010100 => 0101011
[5,2,3,7,6,1,8,4] => 1001101 => 1011001 => 0100110
[8,1,2,4,6,7,3,5] => 1000010 => 0100001 => 1011110
[5,2,3,7,4,8,6,1] => 1001011 => 1101001 => 0010110
[5,2,6,8,4,3,1,7] => 1001110 => 0111001 => 1000110
[7,8,1,5,4,3,6,2] => 0101101 => 1011010 => 0100101
[7,2,4,8,5,3,6,1] => 1001101 => 1011001 => 0100110
[3,7,5,1,8,4,6,2] => 0110101 => 1010110 => 0101001
[2,7,8,5,4,6,1,3] => 0011010 => 0101100 => 1010011
[5,7,4,3,8,6,2,1] => 0110111 => 1110110 => 0001001
[4,8,1,6,3,5,2,7] => 0101010 => 0101010 => 1010101
[8,3,1,7,4,2,5,6] => 1101100 => 0011011 => 1100100
[3,1,8,2,4,5,7,6] => 1010001 => 1000101 => 0111010
[8,1,3,7,6,2,4,5] => 1001100 => 0011001 => 1100110
[2,3,6,8,7,1,4,5] => 0001100 => 0011000 => 1100111
[4,3,2,8,5,7,1,6] => 1101010 => 0101011 => 1010100
[3,6,4,2,8,5,7,1] => 0110101 => 1010110 => 0101001
[4,7,3,2,5,1,8,6] => 0110101 => 1010110 => 0101001
[3,2,4,7,5,8,6,1] => 1001011 => 1101001 => 0010110
[4,2,3,8,6,5,1,7] => 1001110 => 0111001 => 1000110
[2,4,3,5,1,8,6,7] => 0101010 => 0101010 => 1010101
[3,2,8,1,4,6,5,7] => 1010010 => 0100101 => 1011010
[3,7,8,5,6,1,2,4] => 0010100 => 0010100 => 1101011
[3,6,1,8,4,7,2,5] => 0101010 => 0101010 => 1010101
[3,1,6,8,4,7,2,5] => 1001010 => 0101001 => 1010110
[4,1,6,8,3,2,7,5] => 1001101 => 1011001 => 0100110
[4,6,1,8,3,2,7,5] => 0101101 => 1011010 => 0100101
[4,7,8,1,3,2,6,5] => 0010101 => 1010100 => 0101011
[4,7,8,3,1,2,6,5] => 0011001 => 1001100 => 0110011
[2,7,8,3,4,6,5,1] => 0010011 => 1100100 => 0011011
[4,7,8,2,1,3,6,5] => 0011001 => 1001100 => 0110011
[4,6,1,8,2,3,7,5] => 0101001 => 1001010 => 0110101
[4,1,6,8,2,3,7,5] => 1001001 => 1001001 => 0110110
[4,5,1,2,8,3,7,6] => 0100101 => 1010010 => 0101101
[4,5,2,1,8,3,7,6] => 0110101 => 1010110 => 0101001
[4,6,2,8,1,3,7,5] => 0101001 => 1001010 => 0110101
[3,6,2,8,4,7,1,5] => 0101010 => 0101010 => 1010101
[2,3,6,8,4,7,5,1] => 0001011 => 1101000 => 0010111
[3,2,6,8,4,7,1,5] => 1001010 => 0101001 => 1010110
[4,2,6,8,3,1,7,5] => 1001101 => 1011001 => 0100110
[4,2,5,1,8,3,7,6] => 1010101 => 1010101 => 0101010
[4,1,2,5,8,3,7,6] => 1000101 => 1010001 => 0101110
[5,1,2,4,3,8,7,6] => 1001011 => 1101001 => 0010110
[5,2,4,1,3,8,7,6] => 1010011 => 1100101 => 0011010
[4,2,5,3,8,1,7,6] => 1010101 => 1010101 => 0101010
[3,2,5,4,8,7,1,6] => 1010110 => 0110101 => 1001010
[3,5,2,4,8,7,1,6] => 0100110 => 0110010 => 1001101
[5,4,2,1,3,8,7,6] => 1110011 => 1100111 => 0011000
[5,1,4,2,3,8,7,6] => 1010011 => 1100101 => 0011010
[5,4,1,3,2,8,7,6] => 1101011 => 1101011 => 0010100
[5,4,3,1,2,8,7,6] => 1110011 => 1100111 => 0011000
[4,5,3,1,8,2,7,6] => 0110101 => 1010110 => 0101001
[4,5,1,3,8,2,7,6] => 0100101 => 1010010 => 0101101
[3,1,5,4,8,7,2,6] => 1010110 => 0110101 => 1001010
[3,5,1,4,8,7,2,6] => 0100110 => 0110010 => 1001101
[3,5,4,1,8,7,2,6] => 0110110 => 0110110 => 1001001
[3,6,5,8,7,1,2,4] => 0101100 => 0011010 => 1100101
[2,5,6,8,7,3,4,1] => 0001101 => 1011000 => 0100111
[3,4,5,1,8,7,2,6] => 0010110 => 0110100 => 1001011
[3,4,1,5,8,7,2,6] => 0100110 => 0110010 => 1001101
[4,1,3,5,8,2,7,6] => 1000101 => 1010001 => 0101110
[4,3,6,8,2,1,7,5] => 1001101 => 1011001 => 0100110
[2,4,6,8,3,7,5,1] => 0001011 => 1101000 => 0010111
[3,4,5,2,8,7,1,6] => 0010110 => 0110100 => 1001011
[5,3,1,4,2,8,7,6] => 1101011 => 1101011 => 0010100
[5,1,3,4,2,8,7,6] => 1001011 => 1101001 => 0010110
[5,1,3,2,4,8,7,6] => 1010011 => 1100101 => 0011010
[5,3,2,1,4,8,7,6] => 1110011 => 1100111 => 0011000
[4,3,2,5,8,1,7,6] => 1100101 => 1010011 => 0101100
[3,4,2,5,8,7,1,6] => 0100110 => 0110010 => 1001101
[3,2,4,5,8,7,1,6] => 1000110 => 0110001 => 1001110
[4,2,3,5,8,1,7,6] => 1000101 => 1010001 => 0101110
[5,2,3,1,4,8,7,6] => 1010011 => 1100101 => 0011010
[5,2,1,3,4,8,7,6] => 1100011 => 1100011 => 0011100
[5,1,2,3,4,8,7,6] => 1000011 => 1100001 => 0011110
[8,6,2,5,4,1,3,7] => 1101100 => 0011011 => 1100100
[6,5,7,4,2,8,3,1] => 1011011 => 1101101 => 0010010
[6,7,5,3,8,2,4,1] => 0110101 => 1010110 => 0101001
[8,2,1,6,3,4,5,7] => 1101000 => 0001011 => 1110100
[8,3,5,6,2,4,1,7] => 1001010 => 0101001 => 1010110
[8,6,2,1,3,5,4,7] => 1110010 => 0100111 => 1011000
[8,1,2,3,4,6,5,7] => 1000010 => 0100001 => 1011110
[6,2,3,7,8,4,5,1] => 1000101 => 1010001 => 0101110
[7,5,8,2,6,3,4,1] => 1010101 => 1010101 => 0101010
[7,3,1,6,5,8,4,2] => 1101011 => 1101011 => 0010100
[1,5,6,7,3,4,8,2] => 0001001 => 1001000 => 0110111
[6,7,8,2,1,4,5,3] => 0011001 => 1001100 => 0110011
[8,4,7,6,2,1,3,5] => 1011100 => 0011101 => 1100010
[5,3,8,4,7,2,6,1] => 1010101 => 1010101 => 0101010
[8,1,3,7,6,4,2,5] => 1001110 => 0111001 => 1000110
[5,3,1,7,8,6,2,4] => 1100110 => 0110011 => 1001100
[3,5,8,2,7,1,6,4] => 0010101 => 1010100 => 0101011
[6,2,8,5,3,1,7,4] => 1011101 => 1011101 => 0100010
[8,2,6,4,7,1,3,5] => 1010100 => 0010101 => 1101010
[3,4,2,8,5,1,7,6] => 0101101 => 1011010 => 0100101
[3,8,6,5,2,1,7,4] => 0111101 => 1011110 => 0100001
[8,3,7,4,2,5,6,1] => 1011001 => 1001101 => 0110010
[4,8,5,7,2,1,3,6] => 0101100 => 0011010 => 1100101
[3,4,1,8,2,6,7,5] => 0101001 => 1001010 => 0110101
[8,4,6,3,7,1,5,2] => 1010101 => 1010101 => 0101010
[6,8,3,4,1,5,7,2] => 0101001 => 1001010 => 0110101
[5,1,7,6,2,8,4,3] => 1011011 => 1101101 => 0010010
[6,8,2,5,7,4,1,3] => 0100110 => 0110010 => 1001101
[2,8,5,6,7,1,3,4] => 0100100 => 0010010 => 1101101
[2,5,7,6,3,1,8,4] => 0011101 => 1011100 => 0100011
[4,2,8,3,1,5,6,7] => 1011000 => 0001101 => 1110010
[2,5,7,3,8,4,6,1] => 0010101 => 1010100 => 0101011
[4,2,7,1,8,5,3,6] => 1010110 => 0110101 => 1001010
[4,2,1,8,7,5,6,3] => 1101101 => 1011011 => 0100100
[8,3,6,7,1,5,4,2] => 1001011 => 1101001 => 0010110
[1,3,7,5,8,6,4,2] => 0010111 => 1110100 => 0001011
[5,7,8,4,3,1,6,2] => 0011101 => 1011100 => 0100011
[2,7,4,5,8,3,6,1] => 0100101 => 1010010 => 0101101
[3,5,7,1,4,8,6,2] => 0010011 => 1100100 => 0011011
[7,2,8,5,1,4,6,3] => 1011001 => 1001101 => 0110010
[1,6,5,3,8,4,2,7] => 0110110 => 0110110 => 1001001
[5,7,4,8,3,6,2,1] => 0101011 => 1101010 => 0010101
[4,8,6,1,3,5,2,7] => 0110010 => 0100110 => 1011001
[1,8,3,2,4,7,5,6] => 0110010 => 0100110 => 1011001
[8,4,3,2,5,7,1,6] => 1110010 => 0100111 => 1011000
[3,6,4,8,2,5,7,1] => 0101001 => 1001010 => 0110101
[4,3,7,2,5,8,1,6] => 1010010 => 0100101 => 1011010
[3,2,4,7,8,5,6,1] => 1000101 => 1010001 => 0101110
[2,6,4,3,8,5,1,7] => 0110110 => 0110110 => 1001001
[3,8,2,1,6,4,5,7] => 0110100 => 0010110 => 1101001
[8,2,1,3,4,5,7,6] => 1100001 => 1000011 => 0111100
[4,6,8,3,2,1,5,7] => 0011100 => 0011100 => 1100011
[3,2,6,8,5,4,1,7] => 1001110 => 0111001 => 1000110
[7,3,8,2,5,4,1,6] => 1010110 => 0110101 => 1001010
[4,2,5,3,8,7,6,1] => 1010111 => 1110101 => 0001010
[4,8,2,6,5,3,1,7] => 0101110 => 0111010 => 1000101
[2,6,8,5,4,1,3,7] => 0011100 => 0011100 => 1100011
[3,1,8,6,5,4,2,7] => 1011110 => 0111101 => 1000010
[5,4,8,7,3,2,6,1] => 1011101 => 1011101 => 0100010
[6,4,8,3,7,2,5,1] => 1010101 => 1010101 => 0101010
[4,7,3,6,2,1,8,5] => 0101101 => 1011010 => 0100101
[5,4,3,7,1,8,2,6] => 1101010 => 0101011 => 1010100
[7,3,8,5,1,4,2,6] => 1011010 => 0101101 => 1010010
[5,4,8,7,6,2,1,3] => 1011110 => 0111101 => 1000010
[3,8,1,5,7,4,6,2] => 0100101 => 1010010 => 0101101
[4,8,5,7,3,1,6,2] => 0101101 => 1011010 => 0100101
[1,5,4,8,3,7,6,2] => 0101011 => 1101010 => 0010101
[4,8,3,6,7,1,5,2] => 0100101 => 1010010 => 0101101
[4,7,8,3,1,6,5,2] => 0011011 => 1101100 => 0010011
[8,7,5,3,6,4,2,1] => 1110111 => 1110111 => 0001000
[4,6,1,3,8,7,5,2] => 0100111 => 1110010 => 0001101
[6,8,2,1,7,4,5,3] => 0110101 => 1010110 => 0101001
[3,7,1,6,4,2,8,5] => 0101101 => 1011010 => 0100101
[3,1,2,7,5,6,8,4] => 1001001 => 1001001 => 0110110
[3,6,1,2,7,5,8,4] => 0100101 => 1010010 => 0101101
[3,7,6,2,5,8,1,4] => 0110010 => 0100110 => 1011001
[3,6,2,5,8,7,4,1] => 0100111 => 1110010 => 0001101
[8,5,2,3,6,7,4,1] => 1100011 => 1100011 => 0011100
[4,7,2,6,3,8,1,5] => 0101010 => 0101010 => 1010101
[6,3,2,4,8,7,5,1] => 1100111 => 1110011 => 0001100
[3,7,2,4,6,1,8,5] => 0100101 => 1010010 => 0101101
[5,3,7,2,8,1,4,6] => 1010100 => 0010101 => 1101010
[6,3,2,8,7,5,1,4] => 1101110 => 0111011 => 1000100
[7,3,8,2,6,5,1,4] => 1010110 => 0110101 => 1001010
[6,4,8,7,2,5,1,3] => 1011010 => 0101101 => 1010010
[2,5,4,8,1,7,6,3] => 0101011 => 1101010 => 0010101
[5,2,8,1,7,6,3,4] => 1010110 => 0110101 => 1001010
[6,2,1,3,8,7,5,4] => 1100111 => 1110011 => 0001100
[3,6,1,8,7,5,2,4] => 0101110 => 0111010 => 1000101
[5,6,1,2,8,7,4,3] => 0100111 => 1110010 => 0001101
[7,5,2,8,1,6,4,3] => 1101011 => 1101011 => 0010100
[2,7,6,8,1,5,4,3] => 0101011 => 1101010 => 0010101
[7,8,5,1,6,2,4,3] => 0110101 => 1010110 => 0101001
[7,4,8,6,1,2,5,3] => 1011001 => 1001101 => 0110010
[7,2,1,8,3,6,5,4] => 1101011 => 1101011 => 0010100
[5,8,7,1,6,4,3,2] => 0110111 => 1110110 => 0001001
[7,6,5,4,3,2,9,8,1] => 11111011 => 11011111 => 00100000
[11,9,8,7,6,5,4,3,2,1,10] => 1111111110 => 0111111111 => 1000000000
[10,7,6,5,4,3,2,1,9,8] => 111111101 => 101111111 => 010000000
[9,6,5,4,3,2,8,1,7] => 11111010 => 01011111 => 10100000
[9,7,5,4,3,2,1,8,6] => 11111101 => 10111111 => 01000000
[8,5,4,3,7,2,1,6] => 1110110 => 0110111 => 1001000
[6,5,4,8,3,2,7,1] => 1101101 => 1011011 => 0100100
[7,6,5,4,3,9,2,8,1] => 11110101 => 10101111 => 01010000
[7,6,4,3,2,8,5,1] => 1111011 => 1101111 => 0010000
[8,6,5,4,3,2,9,7,1] => 11111011 => 11011111 => 00100000
[8,7,6,5,4,3,2,10,9,1] => 111111011 => 110111111 => 001000000
[10,9,8,7,6,5,4,3,2,11,1] => 1111111101 => 1011111111 => 0100000000
[7,3,1,4,8,2,5,6] => 1100100 => 0010011 => 1101100
[7,4,1,2,5,8,3,6] => 1100010 => 0100011 => 1011100
[6,7,4,2,5,1,3,8] => 0110100 => 0010110 => 1101001
[5,7,2,4,6,8,1,3] => 0100010 => 0100010 => 1011101
[4,7,5,1,6,2,8,3] => 0110101 => 1010110 => 0101001
[5,7,4,6,3,1,8,2] => 0101101 => 1011010 => 0100101
[7,5,1,4,3,2,8,6] => 1101101 => 1011011 => 0100100
[8,6,4,2,3,7,5,1] => 1110011 => 1100111 => 0011000
[6,4,7,1,3,8,5,2] => 1010011 => 1100101 => 0011010
[5,4,2,7,3,1,6,8] => 1101100 => 0011011 => 1100100
[4,5,1,2,7,6,8,3] => 0100101 => 1010010 => 0101101
[5,4,6,8,3,1,2,7] => 1001100 => 0011001 => 1100110
[6,4,8,1,3,7,2,5] => 1010010 => 0100101 => 1011010
[4,6,1,3,8,5,2,7] => 0100110 => 0110010 => 1001101
[1,3,8,4,5,7,2,6] => 0010010 => 0100100 => 1011011
[2,6,7,4,5,3,1,8] => 0010110 => 0110100 => 1001011
[2,6,8,4,3,5,1,7] => 0011010 => 0101100 => 1010011
[1,3,7,4,2,8,5,6] => 0011010 => 0101100 => 1010011
[4,6,1,3,7,2,5,8] => 0100100 => 0010010 => 1101101
[7,5,8,6,2,1,3,4] => 1011100 => 0011101 => 1100010
[2,8,1,3,6,5,4,7] => 0100110 => 0110010 => 1001101
[2,8,7,3,5,4,1,6] => 0110110 => 0110110 => 1001001
[3,4,2,6,8,7,1,5] => 0100110 => 0110010 => 1001101
[7,4,2,3,6,1,8,5] => 1100101 => 1010011 => 0101100
[8,4,2,3,6,5,7,1] => 1100101 => 1010011 => 0101100
[7,3,8,4,1,2,6,5] => 1011001 => 1001101 => 0110010
[6,8,3,2,7,1,5,4] => 0110101 => 1010110 => 0101001
[2,8,5,6,3,7,1,4] => 0101010 => 0101010 => 1010101
[7,4,2,5,8,1,6,3] => 1100101 => 1010011 => 0101100
[2,7,8,3,4,5,1,6] => 0010010 => 0100100 => 1011011
[3,7,1,2,4,6,5,8] => 0100010 => 0100010 => 1011101
[7,5,6,8,2,1,4,3] => 1001101 => 1011001 => 0100110
[3,1,6,5,2,7,4,8] => 1011010 => 0101101 => 1010010
[2,8,6,5,3,4,1,7] => 0111010 => 0101110 => 1010001
[1,7,2,3,5,6,8,4] => 0100001 => 1000010 => 0111101
[3,7,4,2,1,5,6,8] => 0111000 => 0001110 => 1110001
[3,4,6,2,8,5,7,1] => 0010101 => 1010100 => 0101011
[4,2,1,7,5,8,3,6] => 1101010 => 0101011 => 1010100
[4,7,2,6,5,1,3,8] => 0101100 => 0011010 => 1100101
[3,7,4,1,2,5,8,6] => 0110001 => 1000110 => 0111001
[4,7,1,6,5,2,8,3] => 0101101 => 1011010 => 0100101
[4,7,3,6,5,1,8,2] => 0101101 => 1011010 => 0100101
[4,3,7,1,6,8,5,2] => 1010011 => 1100101 => 0011010
[4,2,1,7,5,6,8,3] => 1101001 => 1001011 => 0110100
[3,2,4,8,6,7,1,5] => 1001010 => 0101001 => 1010110
[4,2,6,8,7,3,1,5] => 1001110 => 0111001 => 1000110
[3,4,6,1,8,5,2,7] => 0010110 => 0110100 => 1001011
[4,1,6,7,5,8,2,3] => 1001010 => 0101001 => 1010110
[4,3,6,7,5,1,2,8] => 1001100 => 0011001 => 1100110
[4,3,7,1,6,8,2,5] => 1010010 => 0100101 => 1011010
[4,3,7,5,6,8,2,1] => 1010011 => 1100101 => 0011010
[4,1,7,3,6,5,2,8] => 1010110 => 0110101 => 1001010
[2,8,7,4,5,3,1,6] => 0110110 => 0110110 => 1001001
[2,8,7,4,3,5,1,6] => 0111010 => 0101110 => 1010001
[3,8,1,4,2,6,5,7] => 0101010 => 0101010 => 1010101
[4,1,7,3,6,2,5,8] => 1010100 => 0010101 => 1101010
[5,8,7,6,1,2,4,3] => 0111001 => 1001110 => 0110001
[5,8,7,6,2,1,3,4] => 0111100 => 0011110 => 1100001
[4,1,7,2,6,8,5,3] => 1010011 => 1100101 => 0011010
[4,2,7,3,6,1,8,5] => 1010101 => 1010101 => 0101010
[4,2,7,3,6,5,8,1] => 1010101 => 1010101 => 0101010
[3,8,2,4,5,6,7,1] => 0100001 => 1000010 => 0111101
[3,8,2,4,1,6,7,5] => 0101001 => 1001010 => 0110101
[3,8,5,6,2,4,1,7] => 0101010 => 0101010 => 1010101
[2,8,6,5,3,7,1,4] => 0111010 => 0101110 => 1010001
[3,8,6,5,1,4,7,2] => 0111001 => 1001110 => 0110001
[3,8,2,1,4,6,7,5] => 0110001 => 1000110 => 0111001
[3,8,2,5,4,6,7,1] => 0101001 => 1001010 => 0110101
[4,2,7,5,6,3,8,1] => 1010101 => 1010101 => 0101010
[4,2,7,5,6,1,8,3] => 1010101 => 1010101 => 0101010
[4,2,6,7,5,3,1,8] => 1001110 => 0111001 => 1000110
[3,2,6,1,4,5,8,7] => 1010001 => 1000101 => 0111010
[2,8,7,3,4,5,1,6] => 0110010 => 0100110 => 1011001
[3,8,1,2,4,6,5,7] => 0100010 => 0100010 => 1011101
[5,8,7,6,1,3,4,2] => 0111001 => 1001110 => 0110001
[5,8,7,6,2,3,4,1] => 0111001 => 1001110 => 0110001
[4,1,7,5,6,2,3,8] => 1010100 => 0010101 => 1101010
[3,8,1,5,2,6,4,7] => 0101010 => 0101010 => 1010101
[2,8,7,5,3,4,1,6] => 0111010 => 0101110 => 1010001
[2,8,7,5,4,3,1,6] => 0111110 => 0111110 => 1000001
[4,1,7,5,6,3,2,8] => 1010110 => 0110101 => 1001010
[5,8,7,6,1,3,2,4] => 0111010 => 0101110 => 1010001
[5,8,7,6,4,1,2,3] => 0111100 => 0011110 => 1100001
[5,4,2,3,7,6,8,1] => 1100101 => 1010011 => 0101100
[7,4,3,5,2,8,1,6] => 1101010 => 0101011 => 1010100
[8,4,3,7,5,1,6,2] => 1101101 => 1011011 => 0100100
[8,4,7,2,5,1,6,3] => 1010101 => 1010101 => 0101010
[7,4,6,2,3,5,8,1] => 1010001 => 1000101 => 0111010
[5,1,7,2,4,6,8,3] => 1010001 => 1000101 => 0111010
[4,5,7,1,2,6,8,3] => 0010001 => 1000100 => 0111011
[5,4,1,7,3,6,8,2] => 1101001 => 1001011 => 0110100
[3,6,4,7,5,2,8,1] => 0101101 => 1011010 => 0100101
[3,4,7,6,2,5,8,1] => 0011001 => 1001100 => 0110011
[4,7,5,6,1,3,8,2] => 0101001 => 1001010 => 0110101
[5,7,6,4,3,1,8,2] => 0111101 => 1011110 => 0100001
[5,7,6,3,1,4,8,2] => 0111001 => 1001110 => 0110001
[7,5,2,3,4,8,1,6] => 1100010 => 0100011 => 1011100
[8,7,5,3,4,1,6,2] => 1110101 => 1010111 => 0101000
[6,7,1,3,8,4,2,5] => 0100110 => 0110010 => 1001101
[7,6,1,3,4,8,5,2] => 1100011 => 1100011 => 0011100
[3,6,5,2,7,8,1,4] => 0110010 => 0100110 => 1011001
[3,2,8,6,7,1,4,5] => 1010100 => 0010101 => 1101010
[4,8,3,6,5,2,1,7] => 0101110 => 0111010 => 1000101
[1,8,6,5,4,2,3,7] => 0111100 => 0011110 => 1100001
[1,8,7,2,3,5,4,6] => 0110010 => 0100110 => 1011001
[1,8,7,2,5,3,4,6] => 0110100 => 0010110 => 1101001
[3,6,8,5,1,2,4,7] => 0011000 => 0001100 => 1110011
[3,7,5,1,8,2,6,4] => 0110101 => 1010110 => 0101001
[7,1,2,8,3,5,6,4] => 1001001 => 1001001 => 0110110
[6,1,7,8,2,5,3,4] => 1001010 => 0101001 => 1010110
[6,7,5,2,8,1,4,3] => 0110101 => 1010110 => 0101001
[7,1,4,5,8,6,2,3] => 1000110 => 0110001 => 1001110
[5,7,6,4,2,8,1,3] => 0111010 => 0101110 => 1010001
[7,5,6,1,2,8,4,3] => 1010011 => 1100101 => 0011010
[4,1,3,7,8,6,2,5] => 1000110 => 0110001 => 1001110
[5,1,4,3,6,8,7,2] => 1010011 => 1100101 => 0011010
[4,5,7,6,8,2,1,3] => 0010110 => 0110100 => 1001011
[5,7,6,8,4,2,1,3] => 0101110 => 0111010 => 1000101
[5,1,6,8,4,2,7,3] => 1001101 => 1011001 => 0100110
[7,4,8,2,3,6,5,1] => 1010011 => 1100101 => 0011010
[5,6,8,4,7,3,2,1] => 0010111 => 1110100 => 0001011
[6,4,7,8,5,2,1,3] => 1001110 => 0111001 => 1000110
[3,6,4,8,5,1,2,7] => 0101100 => 0011010 => 1100101
[3,7,4,8,1,2,5,6] => 0101000 => 0001010 => 1110101
[7,4,3,8,2,6,5,1] => 1101011 => 1101011 => 0010100
[7,6,8,3,2,5,4,1] => 1011011 => 1101101 => 0010010
[8,7,1,3,5,4,6,2] => 1100101 => 1010011 => 0101100
[7,1,8,3,4,2,6,5] => 1010101 => 1010101 => 0101010
[7,6,8,3,1,4,5,2] => 1011001 => 1001101 => 0110010
[3,1,4,8,2,5,7,6] => 1001001 => 1001001 => 0110110
[4,8,5,2,1,3,6,7] => 0111000 => 0001110 => 1110001
[5,8,2,6,3,1,4,7] => 0101100 => 0011010 => 1100101
[6,8,2,3,7,4,1,5] => 0100110 => 0110010 => 1001101
[7,8,2,3,4,6,5,1] => 0100011 => 1100010 => 0011101
[8,1,7,2,4,5,3,6] => 1010010 => 0100101 => 1011010
[8,1,3,6,2,5,4,7] => 1001010 => 0101001 => 1010110
[7,2,1,6,3,5,4,8] => 1101010 => 0101011 => 1010100
[2,7,1,6,3,5,4,8] => 0101010 => 0101010 => 1010101
[2,7,1,5,4,3,6,8] => 0101100 => 0011010 => 1100101
[7,2,1,5,4,3,6,8] => 1101100 => 0011011 => 1100100
[8,1,3,5,4,2,6,7] => 1001100 => 0011001 => 1100110
[8,1,5,3,4,2,6,7] => 1010100 => 0010101 => 1101010
[8,1,5,6,2,3,7,4] => 1001001 => 1001001 => 0110110
[8,1,4,5,3,2,6,7] => 1001100 => 0011001 => 1100110
[8,1,4,3,5,2,6,7] => 1010100 => 0010101 => 1101010
[7,2,1,4,5,3,6,8] => 1100100 => 0010011 => 1101100
[2,7,1,4,5,3,6,8] => 0100100 => 0010010 => 1101101
[2,6,3,1,5,4,7,8] => 0110100 => 0010110 => 1101001
[6,3,2,1,5,4,7,8] => 1110100 => 0010111 => 1101000
[7,3,1,4,5,2,6,8] => 1100100 => 0010011 => 1101100
[7,3,1,5,4,2,6,8] => 1101100 => 0011011 => 1100100
[7,3,1,6,2,5,4,8] => 1101010 => 0101011 => 1010100
[3,7,1,6,2,5,4,8] => 0101010 => 0101010 => 1010101
[3,7,1,4,5,2,6,8] => 0100100 => 0010010 => 1101101
[3,6,2,1,5,4,7,8] => 0110100 => 0010110 => 1101001
[2,3,6,1,5,4,7,8] => 0010100 => 0010100 => 1101011
[3,5,2,4,1,6,7,8] => 0101000 => 0001010 => 1110101
[6,3,4,1,5,2,7,8] => 1010100 => 0010101 => 1101010
[6,2,4,1,5,3,7,8] => 1010100 => 0010101 => 1101010
[2,6,4,1,5,3,7,8] => 0110100 => 0010110 => 1101001
[2,6,5,1,3,7,4,8] => 0110010 => 0100110 => 1011001
[6,2,5,1,3,7,4,8] => 1010010 => 0100101 => 1011010
[6,5,2,1,3,7,4,8] => 1110010 => 0100111 => 1011000
[7,6,1,2,4,5,3,8] => 1100010 => 0100011 => 1011100
[6,7,1,2,8,3,5,4] => 0100101 => 1010010 => 0101101
[6,7,1,2,5,4,3,8] => 0100110 => 0110010 => 1001101
[5,6,2,1,3,7,4,8] => 0110010 => 0100110 => 1011001
[5,2,6,1,3,7,4,8] => 1010010 => 0100101 => 1011010
[2,4,6,1,5,3,7,8] => 0010100 => 0010100 => 1101011
[4,7,1,3,5,2,6,8] => 0100100 => 0010010 => 1101101
[4,7,1,5,3,2,6,8] => 0101100 => 0011010 => 1100101
[5,7,1,4,2,6,3,8] => 0101010 => 0101010 => 1010101
[5,7,1,6,2,3,8,4] => 0101001 => 1001010 => 0110101
[5,6,3,1,2,7,4,8] => 0110010 => 0100110 => 1011001
[4,2,5,3,1,6,7,8] => 1011000 => 0001101 => 1110010
[5,3,6,1,2,7,4,8] => 1010010 => 0100101 => 1011010
[3,4,6,1,5,2,7,8] => 0010100 => 0010100 => 1101011
[6,5,1,8,7,3,4,2] => 1101101 => 1011011 => 0100100
[8,2,7,5,4,1,3,6] => 1011100 => 0011101 => 1100010
[6,8,5,2,3,4,1,7] => 0110010 => 0100110 => 1011001
[2,6,8,7,1,5,3,4] => 0011010 => 0101100 => 1010011
[8,5,6,2,7,1,4,3] => 1010101 => 1010101 => 0101010
[6,5,1,2,7,8,4,3] => 1100011 => 1100011 => 0011100
[4,7,6,1,5,3,8,2] => 0110101 => 1010110 => 0101001
[5,7,6,4,1,3,8,2] => 0111001 => 1001110 => 0110001
[7,6,2,4,5,3,8,1] => 1100101 => 1010011 => 0101100
[6,1,7,5,3,8,4,2] => 1011011 => 1101101 => 0010010
[8,6,7,5,3,1,4,2] => 1011101 => 1011101 => 0100010
[8,5,2,7,1,6,4,3] => 1101011 => 1101011 => 0010100
[7,6,1,5,3,8,4,2] => 1101011 => 1101011 => 0010100
[5,6,2,4,7,8,1,3] => 0100010 => 0100010 => 1011101
[3,4,6,1,7,8,5,2] => 0010011 => 1100100 => 0011011
[3,4,8,6,7,1,5,2] => 0010101 => 1010100 => 0101011
[4,8,5,6,7,2,3,1] => 0100101 => 1010010 => 0101101
[5,8,6,4,1,2,7,3] => 0111001 => 1001110 => 0110001
[5,8,6,1,7,2,4,3] => 0110101 => 1010110 => 0101001
[5,8,7,3,2,6,4,1] => 0111011 => 1101110 => 0010001
[5,8,1,7,2,6,4,3] => 0101011 => 1101010 => 0010101
[8,1,5,7,2,6,4,3] => 1001011 => 1101001 => 0010110
[8,1,7,2,5,6,3,4] => 1010010 => 0100101 => 1011010
[6,8,7,2,5,1,3,4] => 0110100 => 0010110 => 1101001
[5,8,7,2,1,6,3,4] => 0111010 => 0101110 => 1010001
[4,8,1,5,2,6,7,3] => 0101001 => 1001010 => 0110101
[3,7,8,5,1,6,2,4] => 0011010 => 0101100 => 1010011
[6,5,2,7,8,1,4,3] => 1100101 => 1010011 => 0101100
[7,1,2,8,5,6,3,4] => 1001010 => 0101001 => 1010110
[8,7,2,1,5,6,3,4] => 1110010 => 0100111 => 1011000
[8,6,7,1,5,2,3,4] => 1010100 => 0010101 => 1101010
[6,1,7,8,5,2,3,4] => 1001100 => 0011001 => 1100110
[7,5,6,2,1,8,4,3] => 1011011 => 1101101 => 0010010
[8,7,5,2,1,6,4,3] => 1111011 => 1101111 => 0010000
[7,1,3,5,8,6,2,4] => 1000110 => 0110001 => 1001110
[5,1,3,4,6,8,7,2] => 1000011 => 1100001 => 0011110
[4,5,3,6,8,2,7,1] => 0100101 => 1010010 => 0101101
[5,6,3,4,8,1,7,2] => 0100101 => 1010010 => 0101101
[4,6,7,8,5,1,3,2] => 0001101 => 1011000 => 0100111
[8,4,3,1,2,6,7,5] => 1110001 => 1000111 => 0111000
[8,5,1,6,3,4,7,2] => 1101001 => 1001011 => 0110100
[5,1,8,6,3,4,7,2] => 1011001 => 1001101 => 0110010
[4,6,8,1,5,3,7,2] => 0010101 => 1010100 => 0101011
[6,4,5,8,3,2,7,1] => 1001101 => 1011001 => 0100110
[3,6,4,8,7,1,5,2] => 0101101 => 1011010 => 0100101
[6,5,8,1,3,4,7,2] => 1010001 => 1000101 => 0111010
[5,6,8,3,1,2,7,4] => 0011001 => 1001100 => 0110011
[6,1,8,3,5,2,7,4] => 1010101 => 1010101 => 0101010
[7,6,8,3,5,2,1,4] => 1010110 => 0110101 => 1001010
[8,6,1,3,5,2,7,4] => 1100101 => 1010011 => 0101100
[8,7,1,3,5,6,2,4] => 1100010 => 0100011 => 1011100
[6,7,8,3,5,1,2,4] => 0010100 => 0010100 => 1101011
[3,4,8,1,2,6,7,5] => 0010001 => 1000100 => 0111011
[5,8,2,4,3,6,7,1] => 0101001 => 1001010 => 0110101
[5,8,2,3,1,6,7,4] => 0101001 => 1001010 => 0110101
[6,8,2,3,5,1,7,4] => 0100101 => 1010010 => 0101101
[7,8,2,3,5,6,1,4] => 0100010 => 0100010 => 1011101
[8,6,5,1,4,3,7,2] => 1110101 => 1010111 => 0101000
[2,4,8,6,1,3,7,5] => 0011001 => 1001100 => 0110011
[6,7,1,8,4,3,5,2] => 0101101 => 1011010 => 0100101
[2,7,8,6,1,4,3,5] => 0011010 => 0101100 => 1010011
[2,7,3,8,1,6,4,5] => 0101010 => 0101010 => 1010101
[7,5,1,8,2,4,6,3] => 1101001 => 1001011 => 0110100
[2,7,8,4,1,6,3,5] => 0011010 => 0101100 => 1010011
[2,6,5,4,1,3,8,7] => 0111001 => 1001110 => 0110001
[4,1,7,6,3,8,2,5] => 1011010 => 0101101 => 1010010
[4,8,2,5,7,6,3,1] => 0100111 => 1110010 => 0001101
[3,4,6,5,1,8,2,7] => 0011010 => 0101100 => 1010011
[2,6,5,3,4,1,8,7] => 0110101 => 1010110 => 0101001
[4,6,1,5,2,3,8,7] => 0101001 => 1001010 => 0110101
[6,2,3,5,1,4,8,7] => 1001001 => 1001001 => 0110110
[2,6,7,5,1,8,4,3] => 0011011 => 1101100 => 0010011
[8,6,1,2,5,3,4,7] => 1100100 => 0010011 => 1101100
[6,2,5,1,8,3,4,7] => 1010100 => 0010101 => 1101010
[7,6,5,2,8,3,4,1] => 1110101 => 1010111 => 0101000
[2,6,3,5,1,8,7,4] => 0101011 => 1101010 => 0010101
[2,4,7,6,5,8,1,3] => 0011010 => 0101100 => 1010011
[2,1,4,8,7,6,3,5] => 1001110 => 0111001 => 1000110
[7,4,6,8,5,3,2,1] => 1001111 => 1111001 => 0000110
[8,1,3,5,7,4,6,2] => 1000101 => 1010001 => 0101110
[3,2,8,7,5,1,6,4] => 1011101 => 1011101 => 0100010
[4,8,5,1,6,7,2,3] => 0110010 => 0100110 => 1011001
[3,8,5,1,6,7,2,4] => 0110010 => 0100110 => 1011001
[7,8,6,1,3,5,2,4] => 0110010 => 0100110 => 1011001
[5,6,7,2,8,1,3,4] => 0010100 => 0010100 => 1101011
[2,5,1,8,6,7,4,3] => 0101011 => 1101010 => 0010101
[3,5,1,8,6,7,4,2] => 0101011 => 1101010 => 0010101
[5,2,3,8,6,7,4,1] => 1001011 => 1101001 => 0010110
[8,3,5,4,6,7,1,2] => 1010010 => 0100101 => 1011010
[5,1,3,8,6,7,4,2] => 1001011 => 1101001 => 0010110
[3,2,5,8,6,7,4,1] => 1001011 => 1101001 => 0010110
[6,2,1,5,3,8,7,4] => 1101011 => 1101011 => 0010100
[5,6,3,2,8,1,4,7] => 0110100 => 0010110 => 1101001
[8,1,6,3,5,2,7,4] => 1010101 => 1010101 => 0101010
[8,7,6,2,5,3,1,4] => 1110110 => 0110111 => 1001000
[4,7,6,8,3,2,5,1] => 0101101 => 1011010 => 0100101
[2,7,5,8,1,3,4,6] => 0101000 => 0001010 => 1110101
[7,6,2,8,5,1,4,3] => 1101101 => 1011011 => 0100100
[8,1,3,7,5,2,6,4] => 1001101 => 1011001 => 0100110
[3,4,8,7,5,1,6,2] => 0011101 => 1011100 => 0100011
[6,3,8,1,4,2,5,7] => 1010100 => 0010101 => 1101010
[6,3,8,5,7,4,1,2] => 1010110 => 0110101 => 1001010
[7,4,6,8,5,1,3,2] => 1001101 => 1011001 => 0100110
[2,1,4,8,7,5,6,3] => 1001101 => 1011001 => 0100110
[7,1,5,8,2,6,4,3] => 1001011 => 1101001 => 0010110
[3,6,8,2,4,1,7,5] => 0010101 => 1010100 => 0101011
[4,5,8,2,6,7,3,1] => 0010011 => 1100100 => 0011011
[5,2,8,1,6,7,3,4] => 1010010 => 0100101 => 1011010
[2,5,8,4,6,7,3,1] => 0010011 => 1100100 => 0011011
[5,8,3,4,6,7,2,1] => 0100011 => 1100010 => 0011101
[8,4,3,2,6,7,1,5] => 1110010 => 0100111 => 1011000
[4,2,8,1,6,7,3,5] => 1010010 => 0100101 => 1011010
[2,4,8,1,6,7,3,5] => 0010010 => 0100100 => 1011011
[5,1,8,2,6,7,3,4] => 1010010 => 0100101 => 1011010
[3,4,8,7,2,1,5,6] => 0011100 => 0011100 => 1100011
[7,8,5,3,6,4,2,1] => 0110111 => 1110110 => 0001001
[2,8,5,7,4,1,3,6] => 0101100 => 0011010 => 1100101
[5,8,4,1,6,7,2,3] => 0110010 => 0100110 => 1011001
[3,8,1,4,6,7,2,5] => 0100010 => 0100010 => 1011101
[8,2,3,4,6,7,1,5] => 1000010 => 0100001 => 1011110
[6,2,7,3,8,4,1,5] => 1010110 => 0110101 => 1001010
[7,4,3,2,8,5,1,6] => 1110110 => 0110111 => 1001000
[8,3,6,2,5,4,1,7] => 1010110 => 0110101 => 1001010
[5,4,8,3,2,6,1,7] => 1011010 => 0101101 => 1010010
[3,5,8,2,4,6,1,7] => 0010010 => 0100100 => 1011011
[6,4,7,8,2,3,1,5] => 1001010 => 0101001 => 1010110
[4,8,6,2,5,3,1,7] => 0110110 => 0110110 => 1001001
[1,6,4,3,2,8,7,5] => 0111011 => 1101110 => 0010001
[1,5,3,2,8,4,7,6] => 0110101 => 1010110 => 0101001
[5,7,4,3,1,2,6,8] => 0111000 => 0001110 => 1110001
[2,8,7,3,5,1,4,6] => 0110100 => 0010110 => 1101001
[6,1,2,7,3,8,5,4] => 1001011 => 1101001 => 0010110
[5,1,3,2,8,7,4,6] => 1010110 => 0110101 => 1001010
[1,8,3,7,2,6,5,4] => 0101011 => 1101010 => 0010101
[5,1,4,8,3,7,2,6] => 1001010 => 0101001 => 1010110
[2,1,6,8,5,4,7,3] => 1001101 => 1011001 => 0100110
[8,3,1,6,7,2,5,4] => 1100101 => 1010011 => 0101100
[3,7,6,1,5,2,4,8] => 0110100 => 0010110 => 1101001
[1,5,4,8,3,2,7,6] => 0101101 => 1011010 => 0100101
[7,3,6,1,2,5,4,8] => 1010010 => 0100101 => 1011010
[5,4,7,1,3,2,6,8] => 1010100 => 0010101 => 1101010
[5,7,2,3,8,1,4,6] => 0100100 => 0010010 => 1101101
[6,4,7,5,8,1,2,3] => 1010100 => 0010101 => 1101010
[7,4,8,5,1,6,3,2] => 1011011 => 1101101 => 0010010
[8,6,4,2,1,7,5,3] => 1111011 => 1101111 => 0010000
[7,4,2,1,5,8,6,3] => 1110011 => 1100111 => 0011000
[7,6,4,1,8,5,2,3] => 1110110 => 0110111 => 1001000
[1,6,4,8,7,5,3,2] => 0101111 => 1111010 => 0000101
[6,3,1,2,8,4,7,5] => 1100101 => 1010011 => 0101100
[6,8,4,1,2,7,5,3] => 0110011 => 1100110 => 0011001
[3,6,1,8,2,4,7,5] => 0101001 => 1001010 => 0110101
[1,3,8,7,6,2,5,4] => 0011101 => 1011100 => 0100011
[5,4,1,8,7,3,2,6] => 1101110 => 0111011 => 1000100
[3,5,1,8,7,2,4,6] => 0101100 => 0011010 => 1100101
[5,8,4,1,7,6,2,3] => 0110110 => 0110110 => 1001001
[8,6,1,7,5,4,3,2] => 1101111 => 1111011 => 0000100
[7,1,5,8,6,4,3,2] => 1001111 => 1111001 => 0000110
[4,1,8,7,6,2,5,3] => 1011101 => 1011101 => 0100010
[3,1,8,7,6,5,2,4] => 1011110 => 0111101 => 1000010
[1,6,4,5,2,3,7,8] => 0101000 => 0001010 => 1110101
[1,7,4,5,2,3,6,8] => 0101000 => 0001010 => 1110101
[1,7,3,5,2,4,6,8] => 0101000 => 0001010 => 1110101
[1,6,3,5,2,4,7,8] => 0101000 => 0001010 => 1110101
[1,6,3,4,2,5,7,8] => 0101000 => 0001010 => 1110101
[1,7,3,4,2,5,6,8] => 0101000 => 0001010 => 1110101
[1,8,6,7,3,4,2,5] => 0101010 => 0101010 => 1010101
[1,8,5,7,3,4,2,6] => 0101010 => 0101010 => 1010101
[1,7,3,4,2,6,5,8] => 0101010 => 0101010 => 1010101
[1,5,2,8,4,7,3,6] => 0101010 => 0101010 => 1010101
[1,4,2,8,5,7,3,6] => 0101010 => 0101010 => 1010101
[1,7,3,5,2,6,4,8] => 0101010 => 0101010 => 1010101
[1,8,4,7,3,5,2,6] => 0101010 => 0101010 => 1010101
[1,7,3,6,2,5,4,8] => 0101010 => 0101010 => 1010101
[1,7,3,6,2,4,5,8] => 0101000 => 0001010 => 1110101
[1,7,4,6,2,3,5,8] => 0101000 => 0001010 => 1110101
[1,8,5,6,2,3,4,7] => 0101000 => 0001010 => 1110101
[1,8,5,6,2,4,3,7] => 0101010 => 0101010 => 1010101
[1,3,2,8,5,6,4,7] => 0101010 => 0101010 => 1010101
[1,4,2,8,5,6,3,7] => 0101010 => 0101010 => 1010101
[1,5,2,8,4,6,3,7] => 0101010 => 0101010 => 1010101
[1,6,2,8,4,5,3,7] => 0101010 => 0101010 => 1010101
[9,1,2,3,5,4,6,7,8] => 10001000 => 00010001 => 11101110
[8,1,2,4,5,3,6,7] => 1000100 => 0010001 => 1101110
[2,3,4,6,5,7,8,9,1] => 00010001 => 10001000 => 01110111
[10,1,2,3,4,6,5,7,8,9] => 100001000 => 000100001 => 111011110
[9,1,2,3,5,6,4,7,8] => 10000100 => 00100001 => 11011110
[2,3,4,7,5,6,8,9,1] => 00010001 => 10001000 => 01110111
[2,3,4,6,7,5,8,9,1] => 00001001 => 10010000 => 01101111
[2,3,4,5,7,6,8,9,10,1] => 000010001 => 100010000 => 011101111
[9,10,5,6,7,8,3,4,1,2] => 010001010 => 010100010 => 101011101
[5,8,9,6,7,10,3,4,1,2] => 001001010 => 010100100 => 101011011
[9,10,7,8,3,4,5,6,1,2] => 010100010 => 010001010 => 101110101
[9,10,3,6,7,4,5,8,1,2] => 010010010 => 010010010 => 101101101
[3,8,9,6,7,4,5,10,1,2] => 001010010 => 010010100 => 101101011
[3,6,7,8,9,4,5,10,1,2] => 000010010 => 010010000 => 101101111
[9,10,3,4,5,6,7,8,1,2] => 010000010 => 010000010 => 101111101
[3,8,9,4,5,6,7,10,1,2] => 001000010 => 010000100 => 101111011
[3,4,7,8,5,6,9,10,1,2] => 000100010 => 010001000 => 101110111
[7,8,9,10,5,6,1,2,3,4] => 000101000 => 000101000 => 111010111
[5,8,9,6,7,10,1,2,3,4] => 001001000 => 000100100 => 111011011
[9,10,7,8,1,4,5,2,3,6] => 010100100 => 001001010 => 110110101
[7,8,9,10,1,4,5,2,3,6] => 000100100 => 001001000 => 110110111
[9,10,1,6,7,4,5,2,3,8] => 010010100 => 001010010 => 110101101
[1,8,9,6,7,4,5,2,3,10] => 001010100 => 001010100 => 110101011
[1,6,7,8,9,4,5,2,3,10] => 000010100 => 001010000 => 110101111
[9,10,1,4,5,6,7,2,3,8] => 010000100 => 001000010 => 110111101
[1,8,9,4,5,6,7,2,3,10] => 001000100 => 001000100 => 110111011
[1,4,7,8,5,6,9,2,3,10] => 000100100 => 001001000 => 110110111
[1,4,5,6,7,8,9,2,3,10] => 000000100 => 001000000 => 110111111
[9,10,1,6,7,2,3,4,5,8] => 010010000 => 000010010 => 111101101
[1,8,9,6,7,2,3,4,5,10] => 001010000 => 000010100 => 111101011
[1,6,7,8,9,2,3,4,5,10] => 000010000 => 000010000 => 111101111
[9,10,1,2,5,6,3,4,7,8] => 010001000 => 000100010 => 111011101
[1,8,9,2,5,6,3,4,7,10] => 001001000 => 000100100 => 111011011
[1,2,7,8,5,6,3,4,9,10] => 000101000 => 000101000 => 111010111
[1,2,5,6,7,8,3,4,9,10] => 000001000 => 000100000 => 111011111
[1,8,9,2,3,4,5,6,7,10] => 001000000 => 000000100 => 111111011
[1,2,7,8,3,4,5,6,9,10] => 000100000 => 000001000 => 111110111
[1,2,3,6,7,4,5,8,9,10] => 000010000 => 000010000 => 111101111
[9,10,11,12,7,8,5,6,3,4,1,2] => 00010101010 => 01010101000 => 10101010111
[11,12,7,8,9,10,5,6,3,4,1,2] => 01000101010 => 01010100010 => 10101011101
[7,8,9,10,11,12,5,6,3,4,1,2] => 00000101010 => 01010100000 => 10101011111
[11,12,9,10,5,6,7,8,3,4,1,2] => 01010001010 => 01010001010 => 10101110101
[9,10,11,12,5,6,7,8,3,4,1,2] => 00010001010 => 01010001000 => 10101110111
[5,8,9,10,11,6,7,12,3,4,1,2] => 00001001010 => 01010010000 => 10101101111
[11,12,5,6,7,8,9,10,3,4,1,2] => 01000001010 => 01010000010 => 10101111101
[5,6,9,10,7,8,11,12,3,4,1,2] => 00010001010 => 01010001000 => 10101110111
[5,6,7,8,9,10,11,12,3,4,1,2] => 00000001010 => 01010000000 => 10101111111
[11,12,9,10,7,8,3,4,5,6,1,2] => 01010100010 => 01000101010 => 10111010101
[9,10,11,12,7,8,3,4,5,6,1,2] => 00010100010 => 01000101000 => 10111010111
[11,12,7,8,9,10,3,4,5,6,1,2] => 01000100010 => 01000100010 => 10111011101
[7,8,9,10,11,12,3,4,5,6,1,2] => 00000100010 => 01000100000 => 10111011111
[9,10,11,12,3,6,7,4,5,8,1,2] => 00010010010 => 01001001000 => 10110110111
[3,8,9,10,11,6,7,4,5,12,1,2] => 00001010010 => 01001010000 => 10110101111
[3,6,9,10,7,8,11,4,5,12,1,2] => 00010010010 => 01001001000 => 10110110111
[3,6,7,8,9,10,11,4,5,12,1,2] => 00000010010 => 01001000000 => 10110111111
[11,12,9,10,3,4,5,6,7,8,1,2] => 01010000010 => 01000001010 => 10111110101
[9,10,11,12,3,4,5,6,7,8,1,2] => 00010000010 => 01000001000 => 10111110111
[3,8,9,10,11,4,5,6,7,12,1,2] => 00001000010 => 01000010000 => 10111101111
[11,12,3,4,7,8,5,6,9,10,1,2] => 01000100010 => 01000100010 => 10111011101
[3,4,9,10,7,8,5,6,11,12,1,2] => 00010100010 => 01000101000 => 10111010111
[3,4,7,8,9,10,5,6,11,12,1,2] => 00000100010 => 01000100000 => 10111011111
[11,12,3,4,5,6,7,8,9,10,1,2] => 01000000010 => 01000000010 => 10111111101
[3,10,11,4,5,6,7,8,9,12,1,2] => 00100000010 => 01000000100 => 10111111011
[3,4,9,10,5,6,7,8,11,12,1,2] => 00010000010 => 01000001000 => 10111110111
[3,4,5,8,9,6,7,10,11,12,1,2] => 00001000010 => 01000010000 => 10111101111
[3,4,5,6,7,8,9,10,11,12,1,2] => 00000000010 => 01000000000 => 10111111111
[11,12,9,10,7,8,5,6,1,2,3,4] => 01010101000 => 00010101010 => 11101010101
[9,10,11,12,7,8,5,6,1,2,3,4] => 00010101000 => 00010101000 => 11101010111
[11,12,7,8,9,10,5,6,1,2,3,4] => 01000101000 => 00010100010 => 11101011101
[7,10,11,8,9,12,5,6,1,2,3,4] => 00100101000 => 00010100100 => 11101011011
[7,8,9,10,11,12,5,6,1,2,3,4] => 00000101000 => 00010100000 => 11101011111
[11,12,9,10,5,6,7,8,1,2,3,4] => 01010001000 => 00010001010 => 11101110101
[9,10,11,12,5,6,7,8,1,2,3,4] => 00010001000 => 00010001000 => 11101110111
[11,12,5,8,9,6,7,10,1,2,3,4] => 01001001000 => 00010010010 => 11101101101
[5,10,11,8,9,6,7,12,1,2,3,4] => 00101001000 => 00010010100 => 11101101011
[5,8,9,10,11,6,7,12,1,2,3,4] => 00001001000 => 00010010000 => 11101101111
[11,12,5,6,7,8,9,10,1,2,3,4] => 01000001000 => 00010000010 => 11101111101
[5,10,11,6,7,8,9,12,1,2,3,4] => 00100001000 => 00010000100 => 11101111011
[5,6,9,10,7,8,11,12,1,2,3,4] => 00010001000 => 00010001000 => 11101110111
[5,6,7,8,9,10,11,12,1,2,3,4] => 00000001000 => 00010000000 => 11101111111
[9,10,11,12,7,8,1,4,5,2,3,6] => 00010100100 => 00100101000 => 11011010111
[7,8,9,10,11,12,1,4,5,2,3,6] => 00000100100 => 00100100000 => 11011011111
[9,10,11,12,1,6,7,4,5,2,3,8] => 00010010100 => 00101001000 => 11010110111
[1,10,11,8,9,6,7,4,5,2,3,12] => 00101010100 => 00101010100 => 11010101011
[1,8,9,10,11,6,7,4,5,2,3,12] => 00001010100 => 00101010000 => 11010101111
[1,6,9,10,7,8,11,4,5,2,3,12] => 00010010100 => 00101001000 => 11010110111
[1,6,7,8,9,10,11,4,5,2,3,12] => 00000010100 => 00101000000 => 11010111111
[9,10,11,12,1,4,5,6,7,2,3,8] => 00010000100 => 00100001000 => 11011110111
[1,8,9,10,11,4,5,6,7,2,3,12] => 00001000100 => 00100010000 => 11011101111
[1,4,9,10,7,8,5,6,11,2,3,12] => 00010100100 => 00100101000 => 11011010111
[1,4,7,8,9,10,5,6,11,2,3,12] => 00000100100 => 00100100000 => 11011011111
[11,12,1,4,5,6,7,8,9,2,3,10] => 01000000100 => 00100000010 => 11011111101
[1,4,9,10,5,6,7,8,11,2,3,12] => 00010000100 => 00100001000 => 11011110111
[1,4,5,8,9,6,7,10,11,2,3,12] => 00001000100 => 00100010000 => 11011101111
[1,4,5,6,7,8,9,10,11,2,3,12] => 00000000100 => 00100000000 => 11011111111
[11,12,9,10,7,8,1,2,3,4,5,6] => 01010100000 => 00000101010 => 11111010101
[9,10,11,12,7,8,1,2,3,4,5,6] => 00010100000 => 00000101000 => 11111010111
[11,12,7,8,9,10,1,2,3,4,5,6] => 01000100000 => 00000100010 => 11111011101
[7,10,11,8,9,12,1,2,3,4,5,6] => 00100100000 => 00000100100 => 11111011011
[11,12,9,10,1,6,7,2,3,4,5,8] => 01010010000 => 00001001010 => 11110110101
[9,10,11,12,1,6,7,2,3,4,5,8] => 00010010000 => 00001001000 => 11110110111
[11,12,1,8,9,6,7,2,3,4,5,10] => 01001010000 => 00001010010 => 11110101101
[1,10,11,8,9,6,7,2,3,4,5,12] => 00101010000 => 00001010100 => 11110101011
[11,12,1,6,7,8,9,2,3,4,5,10] => 01000010000 => 00001000010 => 11110111101
[1,10,11,6,7,8,9,2,3,4,5,12] => 00100010000 => 00001000100 => 11110111011
[1,6,9,10,7,8,11,2,3,4,5,12] => 00010010000 => 00001001000 => 11110110111
[1,6,7,8,9,10,11,2,3,4,5,12] => 00000010000 => 00001000000 => 11110111111
[11,12,9,10,1,2,5,6,3,4,7,8] => 01010001000 => 00010001010 => 11101110101
[9,10,11,12,1,2,5,6,3,4,7,8] => 00010001000 => 00010001000 => 11101110111
[11,12,1,8,9,2,5,6,3,4,7,10] => 01001001000 => 00010010010 => 11101101101
[1,10,11,8,9,2,5,6,3,4,7,12] => 00101001000 => 00010010100 => 11101101011
[1,8,9,10,11,2,5,6,3,4,7,12] => 00001001000 => 00010010000 => 11101101111
[11,12,1,2,7,8,5,6,3,4,9,10] => 01000101000 => 00010100010 => 11101011101
[1,10,11,2,7,8,5,6,3,4,9,12] => 00100101000 => 00010100100 => 11101011011
[1,2,9,10,7,8,5,6,3,4,11,12] => 00010101000 => 00010101000 => 11101010111
[1,2,7,8,9,10,5,6,3,4,11,12] => 00000101000 => 00010100000 => 11101011111
[11,12,1,2,5,6,7,8,3,4,9,10] => 01000001000 => 00010000010 => 11101111101
[1,10,11,2,5,6,7,8,3,4,9,12] => 00100001000 => 00010000100 => 11101111011
[1,2,9,10,5,6,7,8,3,4,11,12] => 00010001000 => 00010001000 => 11101110111
[1,2,5,8,9,6,7,10,3,4,11,12] => 00001001000 => 00010010000 => 11101101111
[1,2,5,6,7,8,9,10,3,4,11,12] => 00000001000 => 00010000000 => 11101111111
[11,12,9,10,1,2,3,4,5,6,7,8] => 01010000000 => 00000001010 => 11111110101
[9,10,11,12,1,2,3,4,5,6,7,8] => 00010000000 => 00000001000 => 11111110111
[11,12,1,8,9,2,3,4,5,6,7,10] => 01001000000 => 00000010010 => 11111101101
[1,10,11,8,9,2,3,4,5,6,7,12] => 00101000000 => 00000010100 => 11111101011
[1,8,9,10,11,2,3,4,5,6,7,12] => 00001000000 => 00000010000 => 11111101111
[11,12,1,2,7,8,3,4,5,6,9,10] => 01000100000 => 00000100010 => 11111011101
[1,10,11,2,7,8,3,4,5,6,9,12] => 00100100000 => 00000100100 => 11111011011
[1,2,9,10,7,8,3,4,5,6,11,12] => 00010100000 => 00000101000 => 11111010111
[1,2,7,8,9,10,3,4,5,6,11,12] => 00000100000 => 00000100000 => 11111011111
[11,12,1,2,3,6,7,4,5,8,9,10] => 01000010000 => 00001000010 => 11110111101
[1,10,11,2,3,6,7,4,5,8,9,12] => 00100010000 => 00001000100 => 11110111011
[1,2,9,10,3,6,7,4,5,8,11,12] => 00010010000 => 00001001000 => 11110110111
[1,2,3,6,7,8,9,4,5,10,11,12] => 00000010000 => 00001000000 => 11110111111
[11,12,1,2,3,4,5,6,7,8,9,10] => 01000000000 => 00000000010 => 11111111101
[1,10,11,2,3,4,5,6,7,8,9,12] => 00100000000 => 00000000100 => 11111111011
[1,2,9,10,3,4,5,6,7,8,11,12] => 00010000000 => 00000001000 => 11111110111
[1,2,3,8,9,4,5,6,7,10,11,12] => 00001000000 => 00000010000 => 11111101111
[1,2,3,4,7,8,5,6,9,10,11,12] => 00000100000 => 00000100000 => 11111011111
[1,2,3,4,5,6,7,8,9,10,11,12] => 00000000000 => 00000000000 => 11111111111
[8,6,4,7,2,1,3,5] => 1101100 => 0011011 => 1100100
[8,4,6,2,3,5,1,7] => 1010010 => 0100101 => 1011010
[5,4,8,2,3,6,1,7] => 1010010 => 0100101 => 1011010
[3,8,6,2,4,5,1,7] => 0110010 => 0100110 => 1011001
[1,7,6,4,8,2,3,5] => 0110100 => 0010110 => 1101001
[5,8,7,4,1,2,3,6] => 0111000 => 0001110 => 1110001
[6,8,5,3,4,1,2,7] => 0110100 => 0010110 => 1101001
[6,8,3,7,2,1,4,5] => 0101100 => 0011010 => 1100101
[6,1,3,7,4,8,2,5] => 1001010 => 0101001 => 1010110
[7,1,6,4,8,2,3,5] => 1010100 => 0010101 => 1101010
[1,8,5,7,2,3,4,6] => 0101000 => 0001010 => 1110101
[6,1,5,8,2,3,4,7] => 1001000 => 0001001 => 1110110
[6,1,5,7,8,2,3,4] => 1000100 => 0010001 => 1101110
[3,8,7,5,1,2,4,6] => 0111000 => 0001110 => 1110001
[3,7,6,1,2,4,5,8] => 0110000 => 0000110 => 1111001
[4,7,6,1,2,3,5,8] => 0110000 => 0000110 => 1111001
[1,6,5,8,2,3,4,7] => 0101000 => 0001010 => 1110101
[8,5,7,4,1,2,3,6] => 1011000 => 0001101 => 1110010
[8,6,2,3,1,7,4,5] => 1101010 => 0101011 => 1010100
[8,6,4,1,2,7,3,5] => 1110010 => 0100111 => 1011000
[1,7,2,8,6,3,4,5] => 0101100 => 0011010 => 1100101
[7,5,8,1,3,6,2,4] => 1010010 => 0100101 => 1011010
[5,4,1,8,2,3,6,7] => 1101000 => 0001011 => 1110100
[1,4,8,7,2,3,5,6] => 0011000 => 0001100 => 1110011
[1,5,8,7,2,3,4,6] => 0011000 => 0001100 => 1110011
[5,7,1,3,8,2,4,6] => 0100100 => 0010010 => 1101101
[7,1,5,8,6,2,3,4] => 1001100 => 0011001 => 1100110
[6,1,8,2,7,3,4,5] => 1010100 => 0010101 => 1101010
[4,1,8,7,2,3,5,6] => 1011000 => 0001101 => 1110010
[5,1,8,7,2,3,4,6] => 1011000 => 0001101 => 1110010
[1,8,7,6,4,5,3,2] => 0111011 => 1101110 => 0010001
[9,8,7,6,4,5,3,2,1,10] => 111101110 => 011101111 => 100010000
[8,7,6,4,3,5,2,1,9] => 11110110 => 01101111 => 10010000
[8,7,6,3,5,4,2,1,9] => 11101110 => 01110111 => 10001000
[1,9,8,7,5,4,6,3,2] => 01111011 => 11011110 => 00100001
[1,8,7,3,6,5,4,2] => 0110111 => 1110110 => 0001001
[1,9,8,7,4,6,5,3,2] => 01110111 => 11101110 => 00010001
[1,10,9,8,7,5,6,4,3,2] => 011110111 => 111011110 => 000100001
[7,1,5,8,3,4,2,6] => 1001010 => 0101001 => 1010110
[7,1,4,3,2,5,6,8] => 1011000 => 0001101 => 1110010
[6,4,2,3,8,5,7,1] => 1100101 => 1010011 => 0101100
[6,4,2,7,5,8,3,1] => 1101011 => 1101011 => 0010100
[2,4,1,7,5,8,3,6] => 0101010 => 0101010 => 1010101
[7,1,4,6,5,2,3,8] => 1001100 => 0011001 => 1100110
[7,1,4,6,5,8,2,3] => 1001010 => 0101001 => 1010110
[7,1,4,6,3,8,2,5] => 1001010 => 0101001 => 1010110
[7,1,4,3,2,5,8,6] => 1011001 => 1001101 => 0110010
[7,1,4,6,5,2,8,3] => 1001101 => 1011001 => 0100110
[7,1,4,6,5,3,8,2] => 1001101 => 1011001 => 0100110
[7,1,4,6,5,3,2,8] => 1001110 => 0111001 => 1000110
[6,4,2,7,5,3,8,1] => 1101101 => 1011011 => 0100100
[3,4,7,2,6,8,5,1] => 0010011 => 1100100 => 0011011
[3,4,7,1,6,8,2,5] => 0010010 => 0100100 => 1011011
[3,4,7,1,6,8,5,2] => 0010011 => 1100100 => 0011011
[2,4,1,7,5,3,6,8] => 0101100 => 0011010 => 1100101
[3,4,1,7,8,6,2,5] => 0100110 => 0110010 => 1001101
[6,4,2,3,8,5,1,7] => 1100110 => 0110011 => 1001100
[6,4,2,7,5,8,1,3] => 1101010 => 0101011 => 1010100
[6,4,2,7,5,3,1,8] => 1101110 => 0111011 => 1000100
[3,4,7,2,6,8,1,5] => 0010010 => 0100100 => 1011011
[5,4,7,3,6,8,2,1] => 1010011 => 1100101 => 0011010
[3,4,7,2,6,5,1,8] => 0010110 => 0110100 => 1001011
[4,8,3,2,5,6,1,7] => 0110010 => 0100110 => 1011001
[4,8,7,3,5,1,2,6] => 0110100 => 0010110 => 1101001
[4,8,7,1,3,5,2,6] => 0110010 => 0100110 => 1011001
[4,8,3,1,2,6,5,7] => 0110010 => 0100110 => 1011001
[3,4,7,1,6,2,5,8] => 0010100 => 0010100 => 1101011
[3,4,7,1,6,2,8,5] => 0010101 => 1010100 => 0101011
[3,4,7,2,6,5,8,1] => 0010101 => 1010100 => 0101011
[4,8,3,1,2,6,7,5] => 0110001 => 1000110 => 0111001
[5,8,1,6,3,4,2,7] => 0101010 => 0101010 => 1010101
[6,8,5,1,3,7,2,4] => 0110010 => 0100110 => 1011001
[6,8,5,1,3,4,7,2] => 0110001 => 1000110 => 0111001
[5,8,3,4,2,6,7,1] => 0101001 => 1001010 => 0110101
[5,4,7,3,6,2,8,1] => 1010101 => 1010101 => 0101010
[5,4,7,2,6,1,8,3] => 1010101 => 1010101 => 0101010
[6,4,3,7,5,1,2,8] => 1101100 => 0011011 => 1100100
[6,4,3,7,5,1,8,2] => 1101101 => 1011011 => 0100100
[6,2,4,3,1,5,8,7] => 1011001 => 1001101 => 0110010
[3,8,7,4,1,5,2,6] => 0111010 => 0101110 => 1010001
[2,4,7,3,6,1,5,8] => 0010100 => 0010100 => 1101011
[5,8,3,2,1,6,4,7] => 0111010 => 0101110 => 1010001
[5,8,7,4,3,1,2,6] => 0111100 => 0011110 => 1100001
[5,4,7,3,6,2,1,8] => 1010110 => 0110101 => 1001010
[7,3,8,2,1,6,5,4] => 1011011 => 1101101 => 0010010
[7,4,3,8,5,2,1,6] => 1101110 => 0111011 => 1000100
[6,5,2,8,4,3,1,7] => 1101110 => 0111011 => 1000100
[4,3,2,8,6,5,1,7] => 1101110 => 0111011 => 1000100
[4,3,8,7,5,1,6,2] => 1011101 => 1011101 => 0100010
[3,2,5,8,6,1,4,7] => 1001100 => 0011001 => 1100110
[8,4,3,7,5,2,6,1] => 1101101 => 1011011 => 0100100
[4,3,7,8,5,1,2,6] => 1001100 => 0011001 => 1100110
[5,3,7,8,4,1,2,6] => 1001100 => 0011001 => 1100110
[6,2,5,8,3,1,4,7] => 1001100 => 0011001 => 1100110
[6,2,4,8,3,1,5,7] => 1001100 => 0011001 => 1100110
[5,2,3,8,4,1,6,7] => 1001100 => 0011001 => 1100110
[5,3,8,7,4,1,6,2] => 1011101 => 1011101 => 0100010
[5,3,2,8,6,4,1,7] => 1101110 => 0111011 => 1000100
[7,5,3,8,4,2,1,6] => 1101110 => 0111011 => 1000100
[8,7,5,3,6,2,4,1] => 1110101 => 1010111 => 0101000
[8,6,5,3,7,2,4,1] => 1110101 => 1010111 => 0101000
[7,5,4,3,8,2,6,1] => 1110101 => 1010111 => 0101000
[6,4,5,3,8,2,7,1] => 1010101 => 1010101 => 0101010
[7,4,6,3,8,2,5,1] => 1010101 => 1010101 => 0101010
[7,5,6,3,8,2,4,1] => 1010101 => 1010101 => 0101010
[8,5,6,3,7,2,4,1] => 1010101 => 1010101 => 0101010
[7,4,6,3,5,2,8,1] => 1010101 => 1010101 => 0101010
[8,4,6,3,5,2,7,1] => 1010101 => 1010101 => 0101010
[8,4,7,3,5,2,6,1] => 1010101 => 1010101 => 0101010
[8,5,7,3,4,2,6,1] => 1010101 => 1010101 => 0101010
[7,5,8,4,3,2,6,1] => 1011101 => 1011101 => 0100010
[6,5,8,4,3,2,7,1] => 1011101 => 1011101 => 0100010
[6,5,8,3,4,2,7,1] => 1010101 => 1010101 => 0101010
[7,5,8,3,4,2,6,1] => 1010101 => 1010101 => 0101010
[7,5,8,4,6,2,3,1] => 1010101 => 1010101 => 0101010
[7,4,8,3,6,2,5,1] => 1010101 => 1010101 => 0101010
[7,4,8,3,5,2,6,1] => 1010101 => 1010101 => 0101010
[6,4,8,3,5,2,7,1] => 1010101 => 1010101 => 0101010
[6,4,7,3,5,2,8,1] => 1010101 => 1010101 => 0101010
[5,4,8,3,7,2,6,1] => 1010101 => 1010101 => 0101010
[6,5,8,3,7,2,4,1] => 1010101 => 1010101 => 0101010
[6,5,8,4,7,2,3,1] => 1010101 => 1010101 => 0101010
[6,5,8,4,7,3,2,1] => 1010111 => 1110101 => 0001010
[6,4,7,3,8,2,5,1] => 1010101 => 1010101 => 0101010
[5,4,7,3,8,2,6,1] => 1010101 => 1010101 => 0101010
[5,4,6,3,8,2,7,1] => 1010101 => 1010101 => 0101010
[5,3,6,2,4,7,8,1] => 1010001 => 1000101 => 0111010
[5,3,6,1,4,8,7,2] => 1010011 => 1100101 => 0011010
[5,3,7,2,4,6,8,1] => 1010001 => 1000101 => 0111010
[4,3,1,5,6,8,7,2] => 1100011 => 1100011 => 0011100
[4,2,1,5,8,6,3,7] => 1100110 => 0110011 => 1001100
[4,2,1,5,8,6,7,3] => 1100101 => 1010011 => 0101100
[4,2,1,5,8,7,6,3] => 1100111 => 1110011 => 0001100
[4,3,1,5,7,8,6,2] => 1100011 => 1100011 => 0011100
[4,3,1,7,5,8,6,2] => 1101011 => 1101011 => 0010100
[6,7,3,1,4,8,2,5] => 0110010 => 0100110 => 1011001
[5,3,7,1,4,8,2,6] => 1010010 => 0100101 => 1011010
[4,3,1,5,7,8,2,6] => 1100010 => 0100011 => 1011100
[3,2,1,8,5,4,6,7] => 1101100 => 0011011 => 1100100
[3,2,1,8,5,7,4,6] => 1101010 => 0101011 => 1010100
[3,2,1,8,7,5,4,6] => 1101110 => 0111011 => 1000100
[5,2,7,1,8,4,3,6] => 1010110 => 0110101 => 1001010
[6,7,2,1,8,4,3,5] => 0110110 => 0110110 => 1001001
[6,7,2,1,8,4,5,3] => 0110101 => 1010110 => 0101001
[3,2,1,8,5,6,4,7] => 1101010 => 0101011 => 1010100
[3,2,1,8,6,5,4,7] => 1101110 => 0111011 => 1000100
[4,3,1,6,7,8,5,2] => 1100011 => 1100011 => 0011100
[4,2,1,6,8,7,5,3] => 1100111 => 1110011 => 0001100
[4,2,1,6,8,5,7,3] => 1100101 => 1010011 => 0101100
[4,2,1,6,8,5,3,7] => 1100110 => 0110011 => 1001100
[5,2,6,1,8,4,3,7] => 1010110 => 0110101 => 1001010
[5,2,6,1,8,7,4,3] => 1010111 => 1110101 => 0001010
[5,2,6,1,8,7,3,4] => 1010110 => 0110101 => 1001010
[5,2,6,1,8,3,4,7] => 1010100 => 0010101 => 1101010
[4,2,1,6,8,3,7,5] => 1100101 => 1010011 => 0101100
[4,3,1,6,7,8,2,5] => 1100010 => 0100011 => 1011100
[6,7,3,1,5,8,2,4] => 0110010 => 0100110 => 1011001
[4,2,1,7,8,6,3,5] => 1100110 => 0110011 => 1001100
[3,2,1,8,7,6,4,5] => 1101110 => 0111011 => 1000100
[3,2,1,8,6,4,7,5] => 1101101 => 1011011 => 0100100
[3,2,1,8,6,4,5,7] => 1101100 => 0011011 => 1100100
[3,2,1,8,4,6,5,7] => 1101010 => 0101011 => 1010100
[3,2,1,8,4,6,7,5] => 1101001 => 1001011 => 0110100
[3,2,1,8,4,7,6,5] => 1101011 => 1101011 => 0010100
[3,2,1,8,7,4,6,5] => 1101101 => 1011011 => 0100100
[4,2,1,7,8,3,6,5] => 1100101 => 1010011 => 0101100
[5,2,7,1,8,3,6,4] => 1010101 => 1010101 => 0101010
[6,7,2,1,8,3,5,4] => 0110101 => 1010110 => 0101001
[5,2,7,1,8,3,4,6] => 1010100 => 0010101 => 1101010
[4,2,1,7,8,3,5,6] => 1100100 => 0010011 => 1101100
[3,2,1,8,4,5,7,6] => 1101001 => 1001011 => 0110100
[7,5,2,8,6,3,4,1] => 1101101 => 1011011 => 0100100
[7,4,8,6,2,5,3,1] => 1011011 => 1101101 => 0010010
[7,3,8,6,2,4,5,1] => 1011001 => 1001101 => 0110010
[7,4,3,1,8,2,5,6] => 1110100 => 0010111 => 1101000
[7,4,2,8,5,6,1,3] => 1101010 => 0101011 => 1010100
[7,3,8,5,2,4,6,1] => 1011001 => 1001101 => 0110010
[7,3,8,4,5,6,2,1] => 1010011 => 1100101 => 0011010
[6,3,8,2,4,5,1,7] => 1010010 => 0100101 => 1011010
[6,3,8,2,5,7,4,1] => 1010011 => 1100101 => 0011010
[6,4,3,8,1,5,2,7] => 1101010 => 0101011 => 1010100
[6,3,7,8,2,4,1,5] => 1001010 => 0101001 => 1010110
[5,6,7,3,8,2,4,1] => 0010101 => 1010100 => 0101011
[5,4,7,2,6,8,1,3] => 1010010 => 0100101 => 1011010
[5,3,8,2,4,6,7,1] => 1010001 => 1000101 => 0111010
[6,3,8,2,4,7,5,1] => 1010011 => 1100101 => 0011010
[5,7,4,2,6,8,1,3] => 0110010 => 0100110 => 1011001
[6,4,8,2,7,5,1,3] => 1010110 => 0110101 => 1001010
[6,5,3,1,4,2,7,8] => 1110100 => 0010111 => 1101000
[5,7,4,2,6,1,3,8] => 0110100 => 0010110 => 1101001
[5,6,4,2,3,8,1,7] => 0110010 => 0100110 => 1011001
[5,6,3,7,8,2,4,1] => 0100101 => 1010010 => 0101101
[5,6,3,8,2,4,7,1] => 0101001 => 1001010 => 0110101
[6,3,7,2,4,5,1,8] => 1010010 => 0100101 => 1011010
[6,3,7,2,5,8,4,1] => 1010011 => 1100101 => 0011010
[5,3,6,8,2,4,7,1] => 1001001 => 1001001 => 0110110
[5,4,6,2,3,8,1,7] => 1010010 => 0100101 => 1011010
[5,3,6,7,8,2,4,1] => 1000101 => 1010001 => 0101110
[3,6,4,2,1,5,8,7] => 0111001 => 1001110 => 0110001
[3,5,8,6,4,2,1,7] => 0011110 => 0111100 => 1000011
[5,8,6,3,4,2,1,7] => 0110110 => 0110110 => 1001001
[5,6,3,4,2,1,8,7] => 0101101 => 1011010 => 0100101
[6,3,4,2,1,5,8,7] => 1011001 => 1001101 => 0110010
[5,6,4,2,1,3,8,7] => 0111001 => 1001110 => 0110001
[2,5,4,1,7,8,6,3] => 0110011 => 1100110 => 0011001
[2,7,8,5,4,1,6,3] => 0011101 => 1011100 => 0100011
[2,8,5,4,1,6,3,7] => 0111010 => 0101110 => 1010001
[2,6,3,8,5,4,1,7] => 0101110 => 0111010 => 1000101
[2,8,6,3,5,4,1,7] => 0110110 => 0110110 => 1001001
[5,8,6,4,2,1,3,7] => 0111100 => 0011110 => 1100001
[4,2,1,5,7,8,6,3] => 1100011 => 1100011 => 0011100
[2,7,8,6,3,5,4,1] => 0011011 => 1101100 => 0010011
[4,3,8,5,7,6,2,1] => 1010111 => 1110101 => 0001010
[7,6,2,1,8,4,3,5] => 1110110 => 0110111 => 1001000
[2,1,8,5,6,4,3,7] => 1010110 => 0110101 => 1001010
[4,2,1,8,5,6,3,7] => 1101010 => 0101011 => 1010100
[8,4,2,1,5,6,3,7] => 1110010 => 0100111 => 1011000
[2,5,6,3,8,4,1,7] => 0010110 => 0110100 => 1001011
[6,3,4,2,1,8,5,7] => 1011010 => 0101101 => 1010010
[3,7,8,5,6,4,2,1] => 0010111 => 1110100 => 0001011
[3,8,5,6,4,2,1,7] => 0101110 => 0111010 => 1000101
[3,6,4,2,1,8,5,7] => 0111010 => 0101110 => 1010001
[3,8,6,4,2,1,5,7] => 0111100 => 0011110 => 1100001
[3,7,8,6,4,2,1,5] => 0011110 => 0111100 => 1000011
[8,5,3,7,6,2,4,1] => 1101101 => 1011011 => 0100100
[7,6,2,4,1,8,5,3] => 1101011 => 1101011 => 0010100
[8,5,4,1,7,6,2,3] => 1110110 => 0110111 => 1001000
[7,6,2,3,8,5,4,1] => 1100111 => 1110011 => 0001100
[2,1,7,8,6,4,3,5] => 1001110 => 0111001 => 1000110
[2,1,6,4,3,7,8,5] => 1011001 => 1001101 => 0110010
[6,4,2,1,3,7,8,5] => 1110001 => 1000111 => 0111000
[6,3,7,8,4,2,1,5] => 1001110 => 0111001 => 1000110
[7,8,4,2,1,6,3,5] => 0111010 => 0101110 => 1010001
[5,7,6,2,3,8,4,1] => 0110011 => 1100110 => 0011001
[2,6,1,8,4,3,7,5] => 0101101 => 1011010 => 0100101
[2,6,1,7,5,8,4,3] => 0101011 => 1101010 => 0010101
[8,4,2,3,7,5,6,1] => 1100101 => 1010011 => 0101100
[8,5,7,6,2,1,4,3] => 1011101 => 1011101 => 0100010
[4,8,5,7,6,2,1,3] => 0101110 => 0111010 => 1000101
[4,7,6,2,1,3,8,5] => 0111001 => 1001110 => 0110001
[7,5,6,1,8,4,2,3] => 1010110 => 0110101 => 1001010
[2,7,5,8,4,3,6,1] => 0101101 => 1011010 => 0100101
[2,8,4,3,6,1,7,5] => 0110101 => 1010110 => 0101001
[6,4,7,8,3,2,1,5] => 1001110 => 0111001 => 1000110
[7,6,5,8,4,3,2,1,9] => 11011110 => 01111011 => 10000100
[7,6,5,4,9,3,2,1,8] => 11101110 => 01110111 => 10001000
[7,6,5,4,3,8,2,1,9] => 11110110 => 01101111 => 10010000
[7,6,5,4,3,2,8,1,9] => 11111010 => 01011111 => 10100000
[6,9,8,5,4,3,2,1,7] => 01111110 => 01111110 => 10000001
[8,7,9,6,5,4,3,2,1,10] => 101111110 => 011111101 => 100000010
[7,5,8,9,4,3,2,1,6] => 10011110 => 01111001 => 10000110
[8,7,6,9,5,4,3,2,1,10] => 110111110 => 011111011 => 100000100
[6,4,3,7,5,2,1,8] => 1101110 => 0111011 => 1000100
[7,6,4,8,9,3,2,1,5] => 11001110 => 01110011 => 10001100
[8,7,6,5,10,4,3,2,1,9] => 111011110 => 011110111 => 100001000
[6,5,3,2,8,4,1,7] => 1110110 => 0110111 => 1001000
[7,6,5,3,9,8,2,1,4] => 11101110 => 01110111 => 10001000
[8,7,6,5,4,9,3,2,1,10] => 111101110 => 011101111 => 100010000
[6,5,2,7,8,4,1,3] => 1100110 => 0110011 => 1001100
[7,6,5,4,2,8,9,1,3] => 11110010 => 01001111 => 10110000
[8,7,6,5,4,3,9,2,1,10] => 111110110 => 011011111 => 100100000
[7,6,5,4,3,1,8,9,2] => 11111001 => 10011111 => 01100000
[7,10,9,6,5,4,3,2,1,8] => 011111110 => 011111110 => 100000001
[9,8,10,7,6,5,4,3,2,1,11] => 1011111110 => 0111111101 => 1000000010
[6,5,8,7,4,3,2,1,9] => 10111110 => 01111101 => 10000010
[8,6,9,10,5,4,3,2,1,7] => 100111110 => 011111001 => 100000110
[9,8,7,10,6,5,4,3,2,1,11] => 1101111110 => 0111111011 => 1000000100
[7,5,4,8,6,3,2,1,9] => 11011110 => 01111011 => 10000100
[5,9,8,7,4,3,2,1,6] => 01111110 => 01111110 => 10000001
[8,7,5,9,10,4,3,2,1,6] => 110011110 => 011110011 => 100001100
[9,8,7,6,11,5,4,3,2,1,10] => 1110111110 => 0111110111 => 1000001000
[6,4,3,2,5,8,1,7] => 1110010 => 0100111 => 1011000
[7,6,4,3,9,5,2,1,8] => 11101110 => 01110111 => 10001000
[7,4,8,9,6,3,2,1,5] => 10011110 => 01111001 => 10000110
[8,7,6,4,10,9,3,2,1,5] => 111011110 => 011110111 => 100001000
[9,8,7,6,5,10,4,3,2,1,11] => 1111011110 => 0111101111 => 1000010000
[6,3,7,2,5,4,1,8] => 1010110 => 0110101 => 1001010
[7,6,5,3,2,8,4,1,9] => 11110110 => 01101111 => 10010000
[7,6,3,8,9,5,2,1,4] => 11001110 => 01110011 => 10001100
[8,7,6,5,3,9,10,2,1,4] => 111100110 => 011001111 => 100110000
[9,8,7,6,5,4,10,3,2,1,11] => 1111101110 => 0111011111 => 1000100000
[7,6,5,4,2,1,8,3,9] => 11111010 => 01011111 => 10100000
[6,3,2,7,5,4,1,8] => 1101110 => 0111011 => 1000100
[7,6,5,2,9,8,4,1,3] => 11101110 => 01110111 => 10001000
[8,7,6,5,4,2,9,10,1,3] => 111110010 => 010011111 => 101100000
[9,8,7,6,5,4,3,11,2,1,10] => 1111110110 => 0110111111 => 1001000000
[7,6,5,4,1,8,9,3,2] => 11110011 => 11001111 => 00110000
[8,7,6,5,4,3,1,10,9,2] => 111111011 => 110111111 => 001000000
[9,8,7,6,5,4,3,2,10,1,11] => 1111111010 => 0101111111 => 1010000000
[9,8,7,6,5,4,3,2,1,10,11] => 1111111100 => 0011111111 => 1100000000
[8,4,2,6,3,1,7,5] => 1101101 => 1011011 => 0100100
[1,5,3,7,4,2,8,6] => 0101101 => 1011010 => 0100101
[1,6,7,3,4,2,8,5] => 0010101 => 1010100 => 0101011
[8,6,5,2,3,1,7,4] => 1110101 => 1010111 => 0101000
[1,7,6,3,4,2,8,5] => 0110101 => 1010110 => 0101001
[1,8,6,3,2,5,7,4] => 0111001 => 1001110 => 0110001
[8,7,5,2,1,4,6,3] => 1111001 => 1001111 => 0110000
[7,8,5,2,1,4,6,3] => 0111001 => 1001110 => 0110001
[6,8,5,2,3,1,7,4] => 0110101 => 1010110 => 0101001
[5,8,6,2,3,1,7,4] => 0110101 => 1010110 => 0101001
[4,8,2,6,3,1,7,5] => 0101101 => 1011010 => 0100101
[3,2,8,6,4,1,7,5] => 1011101 => 1011101 => 0100010
[3,2,1,7,5,4,8,6] => 1101101 => 1011011 => 0100100
[4,1,3,7,5,2,8,6] => 1001101 => 1011001 => 0100110
[5,1,7,3,4,2,8,6] => 1010101 => 1010101 => 0101010
[7,1,6,3,2,5,8,4] => 1011001 => 1001101 => 0110010
[1,2,7,4,3,6,8,5] => 0011001 => 1001100 => 0110011
[6,1,8,2,4,5,7,3] => 1010001 => 1000101 => 0111010
[5,1,8,3,2,6,7,4] => 1011001 => 1001101 => 0110010
[3,2,8,7,1,5,6,4] => 1011001 => 1001101 => 0110010
[4,8,2,7,1,5,6,3] => 0101001 => 1001010 => 0110101
[5,8,7,2,1,4,6,3] => 0111001 => 1001110 => 0110001
[6,8,7,1,3,4,5,2] => 0110001 => 1000110 => 0111001
[7,8,6,1,3,4,5,2] => 0110001 => 1000110 => 0111001
[1,7,8,2,4,5,6,3] => 0010001 => 1000100 => 0111011
[8,6,7,1,3,4,5,2] => 1010001 => 1000101 => 0111010
[7,6,8,1,3,4,5,2] => 1010001 => 1000101 => 0111010
[6,5,8,2,3,1,7,4] => 1010101 => 1010101 => 0101010
[1,6,8,3,2,5,7,4] => 0011001 => 1001100 => 0110011
[1,5,3,8,2,6,7,4] => 0101001 => 1001010 => 0110101
[8,4,2,7,1,5,6,3] => 1101001 => 1001011 => 0110100
[7,4,2,8,1,5,6,3] => 1101001 => 1001011 => 0110100
[6,4,2,8,3,1,7,5] => 1101101 => 1011011 => 0100100
[5,4,2,3,8,1,7,6] => 1100101 => 1010011 => 0101100
[4,5,2,3,1,6,8,7] => 0101001 => 1001010 => 0110101
[7,4,2,1,3,6,8,5] => 1110001 => 1000111 => 0111000
[8,4,2,1,3,6,7,5] => 1110001 => 1000111 => 0111000
[1,5,3,2,4,7,8,6] => 0110001 => 1000110 => 0111001
[8,5,1,3,2,6,7,4] => 1101001 => 1001011 => 0110100
[5,6,1,3,4,2,8,7] => 0100101 => 1010010 => 0101101
[4,6,2,1,5,3,8,7] => 0110101 => 1010110 => 0101001
[4,7,2,1,3,6,8,5] => 0110001 => 1000110 => 0111001
[5,7,1,3,2,6,8,4] => 0101001 => 1001010 => 0110101
[6,7,1,2,4,5,8,3] => 0100001 => 1000010 => 0111101
[8,6,1,2,4,5,7,3] => 1100001 => 1000011 => 0111100
[1,8,2,3,5,6,7,4] => 0100001 => 1000010 => 0111101
[8,7,1,2,4,5,6,3] => 1100001 => 1000011 => 0111100
[7,8,1,2,4,5,6,3] => 0100001 => 1000010 => 0111101
[5,8,1,3,2,6,7,4] => 0101001 => 1001010 => 0110101
[4,8,2,1,3,6,7,5] => 0110001 => 1000110 => 0111001
[4,1,3,2,5,7,8,6] => 1010001 => 1000101 => 0111010
[5,1,2,4,3,7,8,6] => 1001001 => 1001001 => 0110110
[5,4,8,1,2,3,7,6] => 1010001 => 1000101 => 0111010
[1,4,7,6,3,2,5,8] => 0011100 => 0011100 => 1100011
[4,8,3,2,7,6,1,5] => 0110110 => 0110110 => 1001001
[4,3,8,2,7,1,6,5] => 1010101 => 1010101 => 0101010
[1,4,7,3,6,2,5,8] => 0010100 => 0010100 => 1101011
[4,3,2,8,1,7,6,5] => 1101011 => 1101011 => 0010100
[4,1,8,3,7,2,5,6] => 1010100 => 0010101 => 1101010
[4,1,8,7,3,2,5,6] => 1011100 => 0011101 => 1100010
[4,7,8,1,2,5,3,6] => 0010010 => 0100100 => 1011011
[3,4,7,6,2,1,8,5] => 0011101 => 1011100 => 0100011
[3,4,2,7,1,6,8,5] => 0101001 => 1001010 => 0110101
[2,3,6,7,4,1,8,5] => 0001101 => 1011000 => 0100111
[2,6,3,4,7,8,1,5] => 0100010 => 0100010 => 1011101
[2,6,7,8,3,4,1,5] => 0001010 => 0101000 => 1010111
[3,1,7,8,4,2,5,6] => 1001100 => 0011001 => 1100110
[4,1,3,2,8,7,5,6] => 1010110 => 0110101 => 1001010
[3,7,8,2,6,4,1,5] => 0010110 => 0110100 => 1001011
[4,2,3,8,1,6,7,5] => 1001001 => 1001001 => 0110110
[4,3,1,8,2,5,7,6] => 1101001 => 1001011 => 0110100
[1,3,6,7,4,2,5,8] => 0001100 => 0011000 => 1100111
[3,2,7,8,4,1,6,5] => 1001101 => 1011001 => 0100110
[4,2,8,6,3,1,7,5] => 1011101 => 1011101 => 0100010
[3,7,2,4,8,6,1,5] => 0100110 => 0110010 => 1001101
[3,2,7,4,8,1,6,5] => 1010101 => 1010101 => 0101010
[1,3,6,4,7,2,5,8] => 0010100 => 0010100 => 1101011
[3,2,4,7,1,8,6,5] => 1001011 => 1101001 => 0010110
[3,7,4,2,6,8,1,5] => 0110010 => 0100110 => 1011001
[3,7,4,6,2,8,1,5] => 0101010 => 0101010 => 1010101
[4,7,1,5,8,2,3,6] => 0100100 => 0010010 => 1101101
[3,7,6,4,8,2,1,5] => 0110110 => 0110110 => 1001001
[3,1,7,4,8,2,5,6] => 1010100 => 0010101 => 1101010
[2,6,7,3,8,4,1,5] => 0010110 => 0110100 => 1001011
[2,3,6,4,7,1,8,5] => 0010101 => 1010100 => 0101011
[8,7,5,2,6,3,4,1] => 1110101 => 1010111 => 0101000
[8,6,5,2,7,3,4,1] => 1110101 => 1010111 => 0101000
[7,4,8,5,6,3,2,1] => 1010111 => 1110101 => 0001010
[3,4,6,7,8,5,1,2] => 0000110 => 0110000 => 1001111
[1,2,6,4,7,5,8,3] => 0010101 => 1010100 => 0101011
[3,1,7,5,4,2,6,8] => 1011100 => 0011101 => 1100010
[6,3,8,5,4,7,1,2] => 1011010 => 0101101 => 1010010
[1,6,2,5,4,7,8,3] => 0101001 => 1001010 => 0110101
[1,8,2,5,6,3,7,4] => 0100101 => 1010010 => 0101101
[1,2,6,4,8,5,7,3] => 0010101 => 1010100 => 0101011
[7,8,3,1,4,2,5,6] => 0110100 => 0010110 => 1101001
[4,8,1,5,2,3,6,7] => 0101000 => 0001010 => 1110101
[7,4,1,5,2,3,6,8] => 1101000 => 0001011 => 1110100
[5,6,1,8,4,3,2,7] => 0101110 => 0111010 => 1000101
[5,1,8,6,4,3,2,7] => 1011110 => 0111101 => 1000010
[5,1,6,3,8,7,2,4] => 1010110 => 0110101 => 1001010
[6,1,2,5,8,3,7,4] => 1000101 => 1010001 => 0101110
[6,1,8,7,4,3,2,5] => 1011110 => 0111101 => 1000010
[7,1,2,5,4,8,6,3] => 1001011 => 1101001 => 0010110
[1,2,7,5,8,3,6,4] => 0010101 => 1010100 => 0101011
[4,1,6,3,7,5,2,8] => 1010110 => 0110101 => 1001010
[1,3,6,7,8,5,2,4] => 0000110 => 0110000 => 1001111
[1,2,6,4,7,8,5,3] => 0010011 => 1100100 => 0011011
[4,1,6,3,7,8,2,5] => 1010010 => 0100101 => 1011010
[3,1,6,4,8,2,7,5] => 1010101 => 1010101 => 0101010
[7,8,4,1,6,3,2,5] => 0110110 => 0110110 => 1001001
[4,1,6,3,8,7,2,5] => 1010110 => 0110101 => 1001010
[7,5,1,8,4,3,2,6] => 1101110 => 0111011 => 1000100
[6,5,1,7,4,3,2,8] => 1101110 => 0111011 => 1000100
[4,1,8,5,2,3,7,6] => 1011001 => 1001101 => 0110010
[4,1,6,8,3,7,2,5] => 1001010 => 0101001 => 1010110
[5,4,6,1,3,8,2,7] => 1010010 => 0100101 => 1011010
[6,5,8,1,4,3,2,7] => 1010110 => 0110101 => 1001010
[1,3,5,7,6,8,2,4] => 0001010 => 0101000 => 1010111
[1,3,5,7,6,2,8,4] => 0001101 => 1011000 => 0100111
[1,3,5,7,2,6,8,4] => 0001001 => 1001000 => 0110111
[1,3,5,2,7,6,4,8] => 0010110 => 0110100 => 1001011
[1,3,5,7,6,2,4,8] => 0001100 => 0011000 => 1100111
[1,3,5,7,4,6,8,2] => 0001001 => 1001000 => 0110111
[1,3,5,7,4,6,2,8] => 0001010 => 0101000 => 1010111
[1,3,5,7,4,2,6,8] => 0001100 => 0011000 => 1100111
[1,3,5,4,7,2,6,8] => 0010100 => 0010100 => 1101011
[1,3,5,4,7,8,2,6] => 0010010 => 0100100 => 1011011
[1,3,5,4,7,2,8,6] => 0010101 => 1010100 => 0101011
[1,3,5,7,4,2,8,6] => 0001101 => 1011000 => 0100111
[1,3,5,7,4,8,2,6] => 0001010 => 0101000 => 1010111
[1,3,5,7,4,8,6,2] => 0001011 => 1101000 => 0010111
[1,3,5,7,8,4,6,2] => 0000101 => 1010000 => 0101111
[1,3,5,7,8,4,2,6] => 0000110 => 0110000 => 1001111
[1,3,5,2,7,8,6,4] => 0010011 => 1100100 => 0011011
[1,3,5,7,2,8,6,4] => 0001011 => 1101000 => 0010111
[1,3,5,7,8,2,6,4] => 0000101 => 1010000 => 0101111
[1,6,3,2,7,4,8,5] => 0110101 => 1010110 => 0101001
[3,5,1,6,2,8,7,4] => 0101011 => 1101010 => 0010101
[1,3,7,2,5,4,8,6] => 0010101 => 1010100 => 0101011
[1,3,7,5,2,4,8,6] => 0011001 => 1001100 => 0110011
[2,5,7,4,3,8,1,6] => 0011010 => 0101100 => 1010011
[2,5,3,7,4,8,1,6] => 0101010 => 0101010 => 1010101
[2,4,7,3,1,8,6,5] => 0011011 => 1101100 => 0010011
[1,4,7,3,8,2,6,5] => 0010101 => 1010100 => 0101011
[3,2,6,7,8,1,5,4] => 1000101 => 1010001 => 0101110
[3,5,2,7,8,4,1,6] => 0100110 => 0110010 => 1001101
[1,5,7,4,8,3,2,6] => 0010110 => 0110100 => 1001011
[4,6,2,1,7,8,3,5] => 0110010 => 0100110 => 1011001
[3,5,2,6,8,4,7,1] => 0100101 => 1010010 => 0101101
[2,5,7,4,3,8,6,1] => 0011011 => 1101100 => 0010011
[1,5,7,2,4,8,6,3] => 0010011 => 1100100 => 0011011
[4,6,3,7,2,8,5,1] => 0101011 => 1101010 => 0010101
[1,4,7,3,8,6,2,5] => 0010110 => 0110100 => 1001011
[5,1,6,8,2,4,3,7] => 1001010 => 0101001 => 1010110
[5,3,7,8,2,4,1,6] => 1001010 => 0101001 => 1010110
[8,5,3,7,2,4,1,6] => 1101010 => 0101011 => 1010100
[8,2,4,7,3,1,5,6] => 1001100 => 0011001 => 1100110
[2,4,7,8,3,1,5,6] => 0001100 => 0011000 => 1100111
[6,3,1,5,8,2,4,7] => 1100100 => 0010011 => 1101100
[6,5,3,4,2,8,1,7] => 1101010 => 0101011 => 1010100
[5,2,4,3,8,1,6,7] => 1010100 => 0010101 => 1101010
[3,2,4,8,1,5,6,7] => 1001000 => 0001001 => 1110110
[3,2,4,6,8,1,5,7] => 1000100 => 0010001 => 1101110
[8,1,5,7,3,2,4,6] => 1001100 => 0011001 => 1100110
[8,4,6,7,2,3,1,5] => 1001010 => 0101001 => 1010110
[4,6,7,8,2,3,1,5] => 0001010 => 0101000 => 1010111
[7,4,6,8,2,3,1,5] => 1001010 => 0101001 => 1010110
[7,2,4,8,3,1,5,6] => 1001100 => 0011001 => 1100110
[5,3,8,7,2,4,1,6] => 1011010 => 0101101 => 1010010
[2,4,8,7,3,1,5,6] => 0011100 => 0011100 => 1100011
[4,6,8,7,2,3,1,5] => 0011010 => 0101100 => 1010011
[8,7,4,6,2,3,1,5] => 1101010 => 0101011 => 1010100
[5,6,8,7,2,3,1,4] => 0011010 => 0101100 => 1010011
[6,4,8,7,2,3,1,5] => 1011010 => 0101101 => 1010010
[3,1,7,4,2,8,6,5] => 1011011 => 1101101 => 0010010
[3,2,8,4,1,7,6,5] => 1011011 => 1101101 => 0010010
[7,6,4,8,2,3,1,5] => 1101010 => 0101011 => 1010100
[5,7,6,8,2,3,1,4] => 0101010 => 0101010 => 1010101
[4,7,6,8,2,3,1,5] => 0101010 => 0101010 => 1010101
[8,6,4,7,2,3,1,5] => 1101010 => 0101011 => 1010100
[8,2,3,7,4,1,6,5] => 1001101 => 1011001 => 0100110
[2,3,7,8,4,1,6,5] => 0001101 => 1011000 => 0100111
[3,7,4,8,2,5,1,6] => 0101010 => 0101010 => 1010101
[2,3,7,4,1,6,8,5] => 0011001 => 1001100 => 0110011
[8,1,6,4,2,3,7,5] => 1011001 => 1001101 => 0110010
[4,7,8,6,2,3,1,5] => 0011010 => 0101100 => 1010011
[2,4,7,3,1,5,8,6] => 0011001 => 1001100 => 0110011
[6,3,1,7,4,2,8,5] => 1101101 => 1011011 => 0100100
[8,5,7,6,2,3,1,4] => 1011010 => 0101101 => 1010010
[7,5,8,6,2,3,1,4] => 1011010 => 0101101 => 1010010
[7,1,6,4,2,3,8,5] => 1011001 => 1001101 => 0110010
[3,1,7,6,4,2,8,5] => 1011101 => 1011101 => 0100010
[4,8,7,6,2,3,1,5] => 0111010 => 0101110 => 1010001
[6,8,7,5,2,3,1,4] => 0111010 => 0101110 => 1010001
[4,3,6,1,5,8,7,2] => 1010011 => 1100101 => 0011010
[4,3,6,5,1,8,7,2] => 1011011 => 1101101 => 0010010
[4,6,3,5,1,8,7,2] => 0101011 => 1101010 => 0010101
[4,6,3,1,5,8,7,2] => 0110011 => 1100110 => 0011001
[4,1,6,5,3,8,7,2] => 1011011 => 1101101 => 0010010
[4,6,1,5,3,8,7,2] => 0101011 => 1101010 => 0010101
[2,6,5,3,1,8,7,4] => 0111011 => 1101110 => 0010001
[2,6,5,1,8,7,3,4] => 0110110 => 0110110 => 1001001
[2,6,5,8,1,7,3,4] => 0101010 => 0101010 => 1010101
[2,6,5,8,1,3,7,4] => 0101001 => 1001010 => 0110101
[2,6,5,8,3,1,7,4] => 0101101 => 1011010 => 0100101
[2,6,5,3,8,1,7,4] => 0110101 => 1010110 => 0101001
[4,6,1,5,8,3,7,2] => 0100101 => 1010010 => 0101101
[4,1,6,5,8,3,7,2] => 1010101 => 1010101 => 0101010
[1,4,6,5,8,3,7,2] => 0010101 => 1010100 => 0101011
[4,1,6,5,8,7,3,2] => 1010111 => 1110101 => 0001010
[2,6,5,3,8,7,1,4] => 0110110 => 0110110 => 1001001
[6,4,3,8,7,1,5,2] => 1101101 => 1011011 => 0100100
[6,4,8,3,7,1,5,2] => 1010101 => 1010101 => 0101010
[2,6,8,5,3,7,1,4] => 0011010 => 0101100 => 1010011
[4,6,8,1,5,7,3,2] => 0010011 => 1100100 => 0011011
[4,6,1,8,5,7,3,2] => 0101011 => 1101010 => 0010101
[4,1,6,8,5,7,3,2] => 1001011 => 1101001 => 0010110
[1,4,6,8,5,7,3,2] => 0001011 => 1101000 => 0010111
[1,4,6,8,5,3,7,2] => 0001101 => 1011000 => 0100111
[4,6,1,8,5,3,7,2] => 0101101 => 1011010 => 0100101
[2,6,8,5,3,1,7,4] => 0011101 => 1011100 => 0100011
[2,6,8,5,1,7,3,4] => 0011010 => 0101100 => 1010011
[4,6,8,3,5,1,7,2] => 0010101 => 1010100 => 0101011
[4,6,8,3,1,5,7,2] => 0011001 => 1001100 => 0110011
[4,6,3,1,8,5,7,2] => 0110101 => 1010110 => 0101001
[4,6,3,8,1,5,7,2] => 0101001 => 1001010 => 0110101
[4,6,3,8,5,7,1,2] => 0101010 => 0101010 => 1010101
[4,3,6,8,1,5,7,2] => 1001001 => 1001001 => 0110110
[4,3,6,1,8,5,7,2] => 1010101 => 1010101 => 0101010
[4,3,1,6,8,5,7,2] => 1100101 => 1010011 => 0101100
[4,1,3,6,8,7,5,2] => 1000111 => 1110001 => 0001110
[4,3,6,1,8,7,5,2] => 1010111 => 1110101 => 0001010
[4,3,6,8,1,7,5,2] => 1001011 => 1101001 => 0010110
[6,5,2,8,7,3,1,4] => 1101110 => 0111011 => 1000100
[6,5,2,8,7,1,3,4] => 1101100 => 0011011 => 1100100
[6,2,5,8,7,1,3,4] => 1001100 => 0011001 => 1100110
[6,2,5,8,7,3,1,4] => 1001110 => 0111001 => 1000110
[4,6,3,8,1,7,5,2] => 0101011 => 1101010 => 0010101
[4,6,3,1,8,7,5,2] => 0110111 => 1110110 => 0001001
[4,1,6,3,8,7,5,2] => 1010111 => 1110101 => 0001010
[1,4,6,3,8,7,5,2] => 0010111 => 1110100 => 0001011
[4,1,6,8,3,7,5,2] => 1001011 => 1101001 => 0010110
[4,6,1,8,3,7,5,2] => 0101011 => 1101010 => 0010101
[4,6,8,1,3,7,5,2] => 0010011 => 1100100 => 0011011
[6,2,8,5,7,3,1,4] => 1010110 => 0110101 => 1001010
[6,2,8,5,7,1,3,4] => 1010100 => 0010101 => 1101010
[2,4,8,7,1,5,3,6] => 0011010 => 0101100 => 1010011
[4,2,8,7,5,3,1,6] => 1011110 => 0111101 => 1000010
[6,4,1,8,7,5,3,2] => 1101111 => 1111011 => 0000100
[6,1,4,8,7,5,3,2] => 1001111 => 1111001 => 0000110
[1,6,4,8,7,3,5,2] => 0101101 => 1011010 => 0100101
[6,4,1,8,7,3,5,2] => 1101101 => 1011011 => 0100100
[4,2,8,7,5,1,3,6] => 1011100 => 0011101 => 1100010
[2,4,8,7,3,5,1,6] => 0011010 => 0101100 => 1010011
[2,3,4,5,6,8,9,7,1] => 00000011 => 11000000 => 00111111
[2,3,4,7,1,8,6,5] => 0001011 => 1101000 => 0010111
[2,3,4,5,7,8,9,6,1] => 00000011 => 11000000 => 00111111
[2,3,5,6,7,8,9,4,1] => 00000011 => 11000000 => 00111111
[2,4,5,6,7,8,9,3,1] => 00000011 => 11000000 => 00111111
[2,3,4,5,6,7,9,10,8,1] => 000000011 => 110000000 => 001111111
[2,3,4,7,8,5,6,1] => 0000101 => 1010000 => 0101111
[2,3,4,5,8,1,9,7,6] => 00001011 => 11010000 => 00101111
[2,3,4,5,6,8,9,10,7,1] => 000000011 => 110000000 => 001111111
[2,3,6,7,4,8,5,1] => 0001011 => 1101000 => 0010111
[2,3,4,7,1,8,9,6,5] => 00010011 => 11001000 => 00110111
[2,5,6,3,7,8,1,4] => 0010010 => 0100100 => 1011011
[2,3,7,1,4,8,6,5] => 0010011 => 1100100 => 0011011
[2,3,6,1,7,8,9,4,5] => 00100010 => 01000100 => 10111011
[2,3,4,6,7,8,9,10,5,1] => 000000011 => 110000000 => 001111111
[2,6,1,3,7,8,5,4] => 0100011 => 1100010 => 0011101
[2,5,1,6,7,8,9,4,3] => 01000011 => 11000010 => 00111101
[2,3,5,6,7,8,9,10,4,1] => 000000011 => 110000000 => 001111111
[4,1,5,6,7,8,9,3,2] => 10000011 => 11000001 => 00111110
[2,3,4,5,6,7,10,1,8,9] => 000000100 => 001000000 => 110111111
[2,3,4,5,6,7,8,10,11,9,1] => 0000000011 => 1100000000 => 0011111111
[2,3,4,5,8,9,6,7,1] => 00000101 => 10100000 => 01011111
[2,3,4,5,6,9,1,10,8,7] => 000001011 => 110100000 => 001011111
[2,3,4,5,6,7,9,10,11,8,1] => 0000000011 => 1100000000 => 0011111111
[2,3,4,7,8,5,9,6,1] => 00001011 => 11010000 => 00101111
[2,3,4,5,8,1,9,10,7,6] => 000010011 => 110010000 => 001101111
[2,3,4,5,6,8,9,10,11,1,7] => 0000000010 => 0100000000 => 1011111111
[2,5,6,7,4,8,1,3] => 0001010 => 0101000 => 1010111
[2,3,6,7,4,8,9,1,5] => 00010010 => 01001000 => 10110111
[2,3,4,8,1,5,9,7,6] => 00010011 => 11001000 => 00110111
[2,3,4,7,1,8,9,10,5,6] => 000100010 => 010001000 => 101110111
[2,3,4,5,7,8,9,10,11,6,1] => 0000000011 => 1100000000 => 0011111111
[2,5,6,3,7,8,9,4,1] => 00100011 => 11000100 => 00111011
[2,3,7,8,4,5,6,1] => 0001001 => 1001000 => 0110111
[2,3,7,1,4,8,9,6,5] => 00100011 => 11000100 => 00111011
[2,3,6,1,7,8,9,10,5,4] => 001000011 => 110000100 => 001111011
[2,3,4,6,7,8,9,10,11,5,1] => 0000000011 => 1100000000 => 0011111111
[4,5,2,6,7,8,9,3,1] => 01000011 => 11000010 => 00111101
[2,6,7,3,4,8,5,1] => 0010011 => 1100100 => 0011011
[2,6,1,3,7,8,9,4,5] => 01000010 => 01000010 => 10111101
[2,5,1,6,7,8,9,10,4,3] => 010000011 => 110000010 => 001111101
[2,3,5,6,7,8,9,10,11,1,4] => 0000000010 => 0100000000 => 1011111111
[5,1,2,6,7,8,9,4,3] => 10000011 => 11000001 => 00111110
[4,1,5,6,7,8,9,10,2,3] => 100000010 => 010000001 => 101111110
[2,4,5,6,7,8,9,10,11,3,1] => 0000000011 => 1100000000 => 0011111111
[3,4,5,6,7,8,9,10,11,2,1] => 0000000011 => 1100000000 => 0011111111
[1,5,3,2,6,4,7,8] => 0110100 => 0010110 => 1101001
[1,5,3,2,6,7,4,8] => 0110010 => 0100110 => 1011001
[1,7,3,2,8,5,4,6] => 0110110 => 0110110 => 1001001
[1,7,3,2,5,8,4,6] => 0110010 => 0100110 => 1011001
[1,3,2,7,5,4,8,6] => 0101101 => 1011010 => 0100101
[6,5,2,4,3,7,1,8] => 1101010 => 0101011 => 1010100
[6,4,2,5,3,7,1,8] => 1101010 => 0101011 => 1010100
[5,4,7,6,2,3,1,8] => 1011010 => 0101101 => 1010010
[3,6,4,8,2,1,5,7] => 0101100 => 0011010 => 1100101
[1,6,2,8,5,3,4,7] => 0101100 => 0011010 => 1100101
[4,6,2,3,7,5,1,8] => 0100110 => 0110010 => 1001101
[4,7,2,3,6,5,1,8] => 0100110 => 0110010 => 1001101
[4,7,2,3,5,6,1,8] => 0100010 => 0100010 => 1011101
[5,3,2,7,4,6,1,8] => 1101010 => 0101011 => 1010100
[5,3,2,6,4,7,1,8] => 1101010 => 0101011 => 1010100
[4,6,2,3,5,7,1,8] => 0100010 => 0100010 => 1011101
[3,5,2,1,6,8,4,7] => 0110010 => 0100110 => 1011001
[1,5,2,6,8,4,3,7] => 0100110 => 0110010 => 1001101
[1,5,7,2,8,4,3,6] => 0010110 => 0110100 => 1001011
[3,5,2,1,8,6,4,7] => 0110110 => 0110110 => 1001001
[3,6,8,4,2,1,5,7] => 0011100 => 0011100 => 1100011
[4,3,2,6,1,8,5,7] => 1101010 => 0101011 => 1010100
[1,5,8,2,7,4,3,6] => 0010110 => 0110100 => 1001011
[1,7,2,3,4,8,6,5] => 0100011 => 1100010 => 0011101
[6,8,2,3,4,1,7,5] => 0100101 => 1010010 => 0101101
[4,1,8,2,3,5,7,6] => 1010001 => 1000101 => 0111010
[2,3,1,8,4,5,7,6] => 0101001 => 1001010 => 0110101
[7,3,2,1,4,5,8,6] => 1110001 => 1000111 => 0111000
[7,8,1,4,3,5,2,6] => 0101010 => 0101010 => 1010101
[7,1,2,3,4,6,8,5] => 1000001 => 1000001 => 0111110
[6,1,2,3,4,8,7,5] => 1000011 => 1100001 => 0011110
[1,8,2,3,4,7,6,5] => 0100011 => 1100010 => 0011101
[8,1,2,3,4,6,7,5] => 1000001 => 1000001 => 0111110
[2,8,1,3,5,4,7,6] => 0100101 => 1010010 => 0101101
[8,7,1,4,3,5,2,6] => 1101010 => 0101011 => 1010100
[8,3,2,1,4,5,7,6] => 1110001 => 1000111 => 0111000
[3,8,2,1,5,6,4,7] => 0110010 => 0100110 => 1011001
[3,8,2,1,6,5,4,7] => 0110110 => 0110110 => 1001001
[1,7,8,3,5,4,2,6] => 0010110 => 0110100 => 1001011
[7,4,1,8,3,5,2,6] => 1101010 => 0101011 => 1010100
[8,4,1,7,3,5,2,6] => 1101010 => 0101011 => 1010100
[3,8,4,6,2,1,5,7] => 0101100 => 0011010 => 1100101
[8,4,2,5,3,1,6,7] => 1101100 => 0011011 => 1100100
[8,5,2,4,3,1,6,7] => 1101100 => 0011011 => 1100100
[8,3,2,5,4,1,6,7] => 1101100 => 0011011 => 1100100
[4,3,2,5,1,8,6,7] => 1101010 => 0101011 => 1010100
[3,5,2,4,1,8,6,7] => 0101010 => 0101010 => 1010101
[2,4,7,8,1,5,3,6] => 0001010 => 0101000 => 1010111
[1,8,7,3,5,4,2,6] => 0110110 => 0110110 => 1001001
[5,1,8,2,7,4,3,6] => 1010110 => 0110101 => 1001010
[5,1,7,2,8,4,3,6] => 1010110 => 0110101 => 1001010
[6,1,2,8,5,3,4,7] => 1001100 => 0011001 => 1100110
[6,3,2,1,8,4,5,7] => 1110100 => 0010111 => 1101000
[7,3,2,8,4,5,1,6] => 1101010 => 0101011 => 1010100
[2,7,8,4,3,5,1,6] => 0011010 => 0101100 => 1010011
[7,1,8,3,5,4,2,6] => 1010110 => 0110101 => 1001010
[7,8,2,3,4,6,1,5] => 0100010 => 0100010 => 1011101
[6,7,1,3,4,8,2,5] => 0100010 => 0100010 => 1011101
[6,8,1,3,4,7,2,5] => 0100010 => 0100010 => 1011101
[1,7,2,3,4,6,8,5] => 0100001 => 1000010 => 0111101
[1,6,2,3,4,8,7,5] => 0100011 => 1100010 => 0011101
[7,6,2,3,4,1,8,5] => 1100101 => 1010011 => 0101100
[8,6,2,3,4,1,7,5] => 1100101 => 1010011 => 0101100
[8,1,7,3,5,4,2,6] => 1010110 => 0110101 => 1001010
[8,3,2,7,4,5,1,6] => 1101010 => 0101011 => 1010100
[6,7,2,3,4,1,8,5] => 0100101 => 1010010 => 0101101
[7,6,2,3,4,8,1,5] => 1100010 => 0100011 => 1011100
[8,6,2,3,4,7,1,5] => 1100010 => 0100011 => 1011100
[6,3,4,8,7,5,1,2] => 1001110 => 0111001 => 1000110
[4,8,7,3,5,6,1,2] => 0110010 => 0100110 => 1011001
[4,8,7,5,3,6,1,2] => 0111010 => 0101110 => 1010001
[5,8,7,3,4,6,1,2] => 0110010 => 0100110 => 1011001
[5,8,4,2,1,6,7,3] => 0111001 => 1001110 => 0110001
[5,8,4,1,2,6,7,3] => 0110001 => 1000110 => 0111001
[5,3,7,2,6,1,8,4] => 1010101 => 1010101 => 0101010
[5,2,8,1,6,3,7,4] => 1010101 => 1010101 => 0101010
[5,8,2,1,4,7,6,3] => 0110011 => 1100110 => 0011001
[4,8,2,5,1,7,6,3] => 0101011 => 1101010 => 0010101
[7,8,4,1,2,6,5,3] => 0110011 => 1100110 => 0011001
[4,8,1,5,2,7,6,3] => 0101011 => 1101010 => 0010101
[5,8,1,2,4,7,6,3] => 0100011 => 1100010 => 0011101
[5,2,8,3,6,7,1,4] => 1010010 => 0100101 => 1011010
[3,8,7,6,2,4,1,5] => 0111010 => 0101110 => 1010001
[2,8,7,6,4,1,3,5] => 0111100 => 0011110 => 1100001
[7,8,2,6,5,1,3,4] => 0101100 => 0011010 => 1100101
[1,8,7,6,4,2,3,5] => 0111100 => 0011110 => 1100001
[2,8,7,6,3,1,4,5] => 0111100 => 0011110 => 1100001
[1,8,7,6,2,4,3,5] => 0111010 => 0101110 => 1010001
[1,8,7,6,3,4,2,5] => 0111010 => 0101110 => 1010001
[2,8,1,4,5,6,7,3] => 0100001 => 1000010 => 0111101
[2,1,7,3,6,5,8,4] => 1010101 => 1010101 => 0101010
[3,1,7,2,6,5,8,4] => 1010101 => 1010101 => 0101010
[3,2,7,1,6,5,8,4] => 1010101 => 1010101 => 0101010
[6,1,2,8,5,7,3,4] => 1001010 => 0101001 => 1010110
[6,2,1,8,5,7,3,4] => 1101010 => 0101011 => 1010100
[6,3,1,8,5,7,2,4] => 1101010 => 0101011 => 1010100
[6,4,2,1,7,5,8,3] => 1110101 => 1010111 => 0101000
[6,1,3,8,5,2,7,4] => 1001101 => 1011001 => 0100110
[2,3,7,1,6,8,5,4] => 0010011 => 1100100 => 0011011
[1,3,7,2,6,8,5,4] => 0010011 => 1100100 => 0011011
[7,8,2,6,5,3,1,4] => 0101110 => 0111010 => 1000101
[3,2,6,7,5,8,1,4] => 1001010 => 0101001 => 1010110
[1,2,7,5,6,3,8,4] => 0010101 => 1010100 => 0101011
[2,8,7,6,4,3,1,5] => 0111110 => 0111110 => 1000001
[3,8,7,6,1,2,5,4] => 0111001 => 1001110 => 0110001
[3,8,7,6,2,1,5,4] => 0111101 => 1011110 => 0100001
[4,8,7,6,2,1,3,5] => 0111100 => 0011110 => 1100001
[4,8,7,6,1,3,2,5] => 0111010 => 0101110 => 1010001
[3,8,7,6,4,1,2,5] => 0111100 => 0011110 => 1100001
[7,8,3,6,5,1,2,4] => 0101100 => 0011010 => 1100101
[2,3,7,5,6,8,1,4] => 0010010 => 0100100 => 1011011
[3,8,7,6,4,2,1,5] => 0111110 => 0111110 => 1000001
[5,1,4,6,8,2,3,7] => 1000100 => 0010001 => 1101110
[1,7,6,3,5,4,8,2] => 0110101 => 1010110 => 0101001
[4,3,7,2,6,5,1,8] => 1010110 => 0110101 => 1001010
[3,4,6,1,5,7,2,8] => 0010010 => 0100100 => 1011011
[1,6,8,5,7,3,4,2] => 0010101 => 1010100 => 0101011
[2,4,1,5,8,6,3,7] => 0100110 => 0110010 => 1001101
[4,6,1,2,5,8,3,7] => 0100010 => 0100010 => 1011101
[5,6,7,2,1,4,8,3] => 0011001 => 1001100 => 0110011
[7,8,6,5,1,2,4,3] => 0111001 => 1001110 => 0110001
[1,3,6,5,7,8,2,4] => 0010010 => 0100100 => 1011011
[7,4,8,5,3,1,6,2] => 1011101 => 1011101 => 0100010
[6,8,5,2,4,1,7,3] => 0110101 => 1010110 => 0101001
[2,3,1,6,8,5,7,4] => 0100101 => 1010010 => 0101101
[7,3,2,5,1,4,8,6] => 1101001 => 1001011 => 0110100
[7,1,4,2,3,6,8,5] => 1010001 => 1000101 => 0111010
[1,5,8,3,4,6,7,2] => 0010001 => 1000100 => 0111011
[8,3,1,2,4,7,6,5] => 1100011 => 1100011 => 0011100
[2,3,8,1,6,5,4,7] => 0010110 => 0110100 => 1001011
[8,1,4,7,2,5,3,6] => 1001010 => 0101001 => 1010110
[3,5,2,4,1,7,8,6] => 0101001 => 1001010 => 0110101
[3,4,7,8,6,2,1,5] => 0001110 => 0111000 => 1000111
[3,4,8,6,2,7,1,5] => 0011010 => 0101100 => 1010011
[5,8,2,1,6,7,3,4] => 0110010 => 0100110 => 1011001
[5,7,2,8,6,4,3,1] => 0101111 => 1111010 => 0000101
[6,1,2,7,5,3,8,4] => 1001101 => 1011001 => 0100110
[7,3,2,8,6,4,1,5] => 1101110 => 0111011 => 1000100
[2,7,8,4,6,3,1,5] => 0010110 => 0110100 => 1001011
[1,4,5,7,2,6,8,3] => 0001001 => 1001000 => 0110111
[7,3,5,2,6,1,8,4] => 1010101 => 1010101 => 0101010
[8,5,2,3,6,1,7,4] => 1100101 => 1010011 => 0101100
[8,1,6,3,5,7,2,4] => 1010010 => 0100101 => 1011010
[2,8,6,4,3,7,1,5] => 0111010 => 0101110 => 1010001
[8,3,2,6,4,7,1,5] => 1101010 => 0101011 => 1010100
[2,3,8,7,6,5,1,4] => 0011110 => 0111100 => 1000011
[1,2,8,7,3,6,5,4] => 0011011 => 1101100 => 0010011
[4,2,8,7,3,6,1,5] => 1011010 => 0101101 => 1010010
[4,5,8,7,1,2,6,3] => 0011001 => 1001100 => 0110011
[1,5,8,7,3,2,6,4] => 0011101 => 1011100 => 0100011
[4,5,8,7,3,2,1,6] => 0011110 => 0111100 => 1000011
[2,6,8,1,7,5,4,3] => 0010111 => 1110100 => 0001011
[3,6,8,4,7,2,1,5] => 0010110 => 0110100 => 1001011
[2,5,8,3,7,6,1,4] => 0010110 => 0110100 => 1001011
[3,2,8,4,7,6,1,5] => 1010110 => 0110101 => 1001010
[1,5,8,3,7,2,6,4] => 0010101 => 1010100 => 0101011
[3,5,8,4,7,2,1,6] => 0010110 => 0110100 => 1001011
[5,6,8,2,3,7,1,4] => 0010010 => 0100100 => 1011011
[1,6,8,4,2,7,5,3] => 0011011 => 1101100 => 0010011
[1,5,8,4,2,7,6,3] => 0011011 => 1101100 => 0010011
[1,5,8,2,3,7,6,4] => 0010011 => 1100100 => 0011011
[2,1,8,4,3,7,6,5] => 1011011 => 1101101 => 0010010
[2,5,8,4,3,7,1,6] => 0011010 => 0101100 => 1010011
[5,6,8,4,1,2,7,3] => 0011001 => 1001100 => 0110011
[5,6,8,1,3,2,7,4] => 0010101 => 1010100 => 0101011
[1,6,8,4,3,2,7,5] => 0011101 => 1011100 => 0100011
[5,6,8,4,3,2,1,7] => 0011110 => 0111100 => 1000011
[7,1,2,8,6,5,4,3] => 1001111 => 1111001 => 0000110
[7,1,4,8,6,2,5,3] => 1001101 => 1011001 => 0100110
[7,3,1,8,6,2,5,4] => 1101101 => 1011011 => 0100100
[7,2,4,8,3,6,1,5] => 1001010 => 0101001 => 1010110
[7,1,4,8,3,2,6,5] => 1001101 => 1011001 => 0100110
[7,4,5,8,3,2,1,6] => 1001110 => 0111001 => 1000110
[1,6,2,8,7,5,4,3] => 0101111 => 1111010 => 0000101
[1,6,4,8,7,2,5,3] => 0101101 => 1011010 => 0100101
[3,6,4,8,7,2,1,5] => 0101110 => 0111010 => 1000101
[3,2,5,8,7,6,1,4] => 1001110 => 0111001 => 1000110
[3,2,4,8,7,6,1,5] => 1001110 => 0111001 => 1000110
[3,1,5,8,7,2,6,4] => 1001101 => 1011001 => 0100110
[3,1,4,8,7,2,6,5] => 1001101 => 1011001 => 0100110
[1,6,4,8,2,7,5,3] => 0101011 => 1101010 => 0010101
[1,4,5,8,2,7,6,3] => 0001011 => 1101000 => 0010111
[2,4,5,8,3,7,1,6] => 0001010 => 0101000 => 1010111
[4,6,5,8,1,2,7,3] => 0101001 => 1001010 => 0110101
[1,6,4,8,3,2,7,5] => 0101101 => 1011010 => 0100101
[1,4,5,8,3,2,7,6] => 0001101 => 1011000 => 0100111
[7,6,1,4,8,2,5,3] => 1100101 => 1010011 => 0101100
[7,6,1,3,8,2,5,4] => 1100101 => 1010011 => 0101100
[7,6,3,4,8,2,1,5] => 1100110 => 0110011 => 1001100
[7,2,5,1,8,6,4,3] => 1010111 => 1110101 => 0001010
[7,2,5,3,8,6,1,4] => 1010110 => 0110101 => 1001010
[7,2,1,4,8,6,5,3] => 1100111 => 1110011 => 0001100
[7,2,1,3,8,6,5,4] => 1100111 => 1110011 => 0001100
[7,2,3,4,8,6,1,5] => 1000110 => 0110001 => 1001110
[7,3,5,4,8,2,1,6] => 1010110 => 0110101 => 1001010
[2,6,5,1,8,7,4,3] => 0110111 => 1110110 => 0001001
[2,3,5,4,8,7,1,6] => 0010110 => 0110100 => 1001011
[1,6,5,4,8,2,7,3] => 0110101 => 1010110 => 0101001
[1,6,5,3,8,2,7,4] => 0110101 => 1010110 => 0101001
[1,6,3,4,8,2,7,5] => 0100101 => 1010010 => 0101101
[1,3,5,4,8,2,7,6] => 0010101 => 1010100 => 0101011
[3,6,5,4,8,2,1,7] => 0110110 => 0110110 => 1001001
[7,6,5,2,3,8,1,4] => 1110010 => 0100111 => 1011000
[7,6,1,4,2,8,5,3] => 1101011 => 1101011 => 0010100
[7,6,1,2,3,8,5,4] => 1100011 => 1100011 => 0011100
[7,6,2,4,3,8,1,5] => 1101010 => 0101011 => 1010100
[7,1,5,4,2,8,6,3] => 1011011 => 1101101 => 0010010
[7,1,5,2,3,8,6,4] => 1010011 => 1100101 => 0011010
[7,1,2,4,3,8,6,5] => 1001011 => 1101001 => 0010110
[2,6,5,4,3,8,1,7] => 0111010 => 0101110 => 1010001
[7,6,1,4,3,2,8,5] => 1101101 => 1011011 => 0100100
[7,1,5,4,3,2,8,6] => 1011101 => 1011101 => 0100010
[3,4,2,6,7,8,1,5] => 0100010 => 0100010 => 1011101
[3,1,4,2,6,8,7,5] => 1010011 => 1100101 => 0011010
[8,3,4,2,6,1,7,5] => 1010101 => 1010101 => 0101010
[2,6,7,3,5,4,1,8] => 0010110 => 0110100 => 1001011
[2,7,8,3,5,4,1,6] => 0010110 => 0110100 => 1001011
[2,6,8,3,5,4,1,7] => 0010110 => 0110100 => 1001011
[4,7,1,2,8,5,3,6] => 0100110 => 0110010 => 1001101
[4,8,1,2,7,5,3,6] => 0100110 => 0110010 => 1001101
[2,1,6,3,7,5,4,8] => 1010110 => 0110101 => 1001010
[2,7,1,3,6,8,4,5] => 0100010 => 0100010 => 1011101
[6,7,3,2,8,1,4,5] => 0110100 => 0010110 => 1101001
[7,3,4,2,6,1,8,5] => 1010101 => 1010101 => 0101010
[7,4,1,2,8,5,3,6] => 1100110 => 0110011 => 1001100
[8,7,4,2,1,5,3,6] => 1111010 => 0101111 => 1010000
[7,4,1,2,6,5,3,8] => 1100110 => 0110011 => 1001100
[7,4,3,1,5,6,8,2] => 1110001 => 1000111 => 0111000
[6,7,4,1,5,8,3,2] => 0110011 => 1100110 => 0011001
[4,7,5,1,6,8,3,2] => 0110011 => 1100110 => 0011001
[4,5,3,1,7,6,8,2] => 0110101 => 1010110 => 0101001
[4,6,1,2,7,5,3,8] => 0100110 => 0110010 => 1001101
[2,7,1,3,6,5,4,8] => 0100110 => 0110010 => 1001101
[4,1,8,2,6,5,3,7] => 1010110 => 0110101 => 1001010
[4,6,1,2,8,5,3,7] => 0100110 => 0110010 => 1001101
[8,4,3,1,5,6,7,2] => 1110001 => 1000111 => 0111000
[4,5,3,1,8,6,7,2] => 0110101 => 1010110 => 0101001
[4,8,5,6,3,1,7,2] => 0101101 => 1011010 => 0100101
[5,1,3,4,8,6,7,2] => 1000101 => 1010001 => 0101110
[5,4,3,8,1,6,7,2] => 1101001 => 1001011 => 0110100
[8,5,3,4,1,6,7,2] => 1101001 => 1001011 => 0110100
[6,4,8,2,1,5,3,7] => 1011010 => 0101101 => 1010010
[6,7,3,2,5,1,4,8] => 0110100 => 0010110 => 1101001
[6,8,3,2,5,1,4,7] => 0110100 => 0010110 => 1101001
[5,7,1,4,6,8,3,2] => 0100011 => 1100010 => 0011101
[5,1,3,4,7,6,8,2] => 1000101 => 1010001 => 0101110
[6,1,4,2,7,5,3,8] => 1010110 => 0110101 => 1001010
[5,4,3,7,1,6,8,2] => 1101001 => 1001011 => 0110100
[6,7,5,4,1,8,3,2] => 0111011 => 1101110 => 0010001
[7,6,4,2,1,5,3,8] => 1111010 => 0101111 => 1010000
[8,2,7,6,5,4,1,3] => 1011110 => 0111101 => 1000010
[7,2,8,6,5,4,3,1] => 1011111 => 1111101 => 0000010
[8,1,9,7,6,5,4,3,2] => 10111111 => 11111101 => 00000010
[2,10,9,8,7,6,5,4,1,3] => 011111110 => 011111110 => 100000001
[9,2,8,7,6,5,4,1,3] => 10111110 => 01111101 => 10000010
[3,9,8,7,6,5,4,1,2] => 01111110 => 01111110 => 10000001
[8,7,2,6,5,4,1,3] => 1101110 => 0111011 => 1000100
[3,2,8,7,6,5,1,4] => 1011110 => 0111101 => 1000010
[4,8,7,6,5,3,1,2] => 0111110 => 0111110 => 1000001
[7,8,6,1,5,4,3,2] => 0110111 => 1110110 => 0001001
[8,9,1,7,6,5,4,3,2] => 01011111 => 11111010 => 00000101
[7,3,8,6,5,4,2,1] => 1011111 => 1111101 => 0000010
[8,2,9,7,6,5,4,3,1] => 10111111 => 11111101 => 00000010
[9,1,10,8,7,6,5,4,3,2] => 101111111 => 111111101 => 000000010
[4,8,5,7,6,3,2,1] => 0101111 => 1111010 => 0000101
[3,8,7,4,6,5,2,1] => 0110111 => 1110110 => 0001001
[2,8,7,6,3,5,4,1] => 0111011 => 1101110 => 0010001
[8,5,6,1,3,2,4,7] => 1010100 => 0010101 => 1101010
[8,6,1,5,3,2,4,7] => 1101100 => 0011011 => 1100100
[7,8,1,5,3,2,4,6] => 0101100 => 0011010 => 1100101
[8,1,7,5,3,2,4,6] => 1011100 => 0011101 => 1100010
[8,6,1,4,5,2,3,7] => 1100100 => 0010011 => 1101100
[8,6,3,1,5,2,4,7] => 1110100 => 0010111 => 1101000
[8,4,6,1,5,2,3,7] => 1010100 => 0010101 => 1101010
[8,6,2,1,5,4,3,7] => 1110110 => 0110111 => 1001000
[8,5,2,6,1,4,3,7] => 1101010 => 0101011 => 1010100
[8,5,2,1,7,4,3,6] => 1110110 => 0110111 => 1001000
[7,8,2,1,5,4,3,6] => 0110110 => 0110110 => 1001001
[7,8,3,1,5,2,4,6] => 0110100 => 0010110 => 1101001
[8,2,7,5,1,3,4,6] => 1011000 => 0001101 => 1110010
[8,4,1,7,5,2,3,6] => 1101100 => 0011011 => 1100100
[8,2,7,1,5,4,3,6] => 1010110 => 0110101 => 1001010
[8,2,6,1,7,4,3,5] => 1010110 => 0110101 => 1001010
[8,1,7,4,3,2,6,5] => 1011101 => 1011101 => 0100010
[8,1,5,7,3,2,6,4] => 1001101 => 1011001 => 0100110
[5,7,8,1,3,2,6,4] => 0010101 => 1010100 => 0101011
[8,2,6,1,5,7,3,4] => 1010010 => 0100101 => 1011010
[5,8,1,6,7,2,3,4] => 0100100 => 0010010 => 1101101
[5,7,6,1,8,2,3,4] => 0110100 => 0010110 => 1101001
[6,7,2,5,1,8,3,4] => 0101010 => 0101010 => 1010101
[7,5,1,6,8,2,3,4] => 1100100 => 0010011 => 1101100
[6,5,7,1,8,2,3,4] => 1010100 => 0010101 => 1101010
[6,7,3,8,1,2,4,5] => 0101000 => 0001010 => 1110101
[7,5,4,1,8,2,3,6] => 1110100 => 0010111 => 1101000
[7,6,1,4,8,2,3,5] => 1100100 => 0010011 => 1101100
[8,1,6,4,7,2,3,5] => 1010100 => 0010101 => 1101010
[7,5,8,1,3,2,4,6] => 1010100 => 0010101 => 1101010
[7,8,4,1,3,2,5,6] => 0110100 => 0010110 => 1101001
[8,3,7,4,1,2,5,6] => 1011000 => 0001101 => 1110010
[8,5,1,7,3,2,4,6] => 1101100 => 0011011 => 1100100
[6,8,1,7,3,2,4,5] => 0101100 => 0011010 => 1100101
[7,1,8,4,3,6,2,5] => 1011010 => 0101101 => 1010010
[7,3,1,8,6,4,2,5] => 1101110 => 0111011 => 1000100
[8,3,1,7,4,6,2,5] => 1101010 => 0101011 => 1010100
[8,4,5,1,7,2,3,6] => 1010100 => 0010101 => 1101010
[5,6,8,1,7,2,3,4] => 0010100 => 0010100 => 1101011
[6,5,8,1,2,7,3,4] => 1010010 => 0100101 => 1011010
[7,3,1,8,5,6,2,4] => 1101010 => 0101011 => 1010100
[6,2,7,8,3,1,5,4] => 1001101 => 1011001 => 0100110
[5,8,1,7,3,2,6,4] => 0101101 => 1011010 => 0100101
[8,4,1,7,3,2,6,5] => 1101101 => 1011011 => 0100100
[8,3,4,7,1,2,6,5] => 1001001 => 1001001 => 0110110
[8,2,7,4,1,3,6,5] => 1011001 => 1001101 => 0110010
[7,4,8,2,1,3,6,5] => 1011001 => 1001101 => 0110010
[7,4,3,8,1,2,6,5] => 1101001 => 1001011 => 0110100
[8,2,3,6,7,1,5,4] => 1000101 => 1010001 => 0101110
[2,6,8,7,1,5,4,3] => 0011011 => 1101100 => 0010011
[7,8,5,2,3,6,4,1] => 0110011 => 1100110 => 0011001
[8,7,5,2,3,1,6,4] => 1110101 => 1010111 => 0101000
[6,8,5,2,3,4,7,1] => 0110001 => 1000110 => 0111001
[3,5,2,6,8,1,4,7] => 0100100 => 0010010 => 1101101
[3,5,2,4,6,8,1,7] => 0100010 => 0100010 => 1011101
[2,4,5,7,3,6,8,1] => 0001001 => 1001000 => 0110111
[2,4,5,3,6,8,1,7] => 0010010 => 0100100 => 1011011
[5,2,4,6,8,1,3,7] => 1000100 => 0010001 => 1101110
[5,1,3,4,6,8,2,7] => 1000010 => 0100001 => 1011110
[4,3,5,2,6,8,1,7] => 1010010 => 0100101 => 1011010
[4,3,5,7,2,8,1,6] => 1001010 => 0101001 => 1010110
[4,3,5,7,2,6,8,1] => 1001001 => 1001001 => 0110110
[4,6,3,7,2,5,8,1] => 0101001 => 1001010 => 0110101
[4,6,3,1,7,8,2,5] => 0110010 => 0100110 => 1011001
[4,3,5,1,7,8,2,6] => 1010010 => 0100101 => 1011010
[5,7,1,3,4,8,2,6] => 0100010 => 0100010 => 1011101
[5,7,1,3,4,6,8,2] => 0100001 => 1000010 => 0111101
[4,5,7,1,3,6,8,2] => 0010001 => 1000100 => 0111011
[4,3,6,7,1,5,8,2] => 1001001 => 1001001 => 0110110
[4,6,3,5,1,7,8,2] => 0101001 => 1001010 => 0110101
[4,6,3,5,7,2,8,1] => 0100101 => 1010010 => 0101101
[3,5,6,4,1,7,8,2] => 0011001 => 1001100 => 0110011
[3,1,5,6,7,4,8,2] => 1000101 => 1010001 => 0101110
[5,1,6,7,3,4,8,2] => 1001001 => 1001001 => 0110110
[6,4,7,1,3,5,8,2] => 1010001 => 1000101 => 0111010
[1,6,7,3,4,5,8,2] => 0010001 => 1000100 => 0111011
[2,6,7,4,5,8,1,3] => 0010010 => 0100100 => 1011011
[2,6,7,4,8,1,3,5] => 0010100 => 0010100 => 1101011
[5,3,6,1,2,7,8,4] => 1010001 => 1000101 => 0111010
[3,5,2,6,1,7,8,4] => 0101001 => 1001010 => 0110101
[3,5,2,6,7,4,8,1] => 0100101 => 1010010 => 0101101
[5,2,3,6,7,4,8,1] => 1000101 => 1010001 => 0101110
[5,2,3,6,1,7,8,4] => 1001001 => 1001001 => 0110110
[5,2,6,1,3,7,8,4] => 1010001 => 1000101 => 0111010
[4,2,6,7,3,5,8,1] => 1001001 => 1001001 => 0110110
[6,3,7,2,4,5,8,1] => 1010001 => 1000101 => 0111010
[3,5,7,2,8,1,4,6] => 0010100 => 0010100 => 1101011
[3,7,2,4,8,1,5,6] => 0100100 => 0010010 => 1101101
[7,2,4,6,8,1,3,5] => 1000100 => 0010001 => 1101110
[7,1,3,4,6,8,2,5] => 1000010 => 0100001 => 1011110
[3,7,2,4,6,8,1,5] => 0100010 => 0100010 => 1011101
[3,5,7,2,6,8,1,4] => 0010010 => 0100100 => 1011011
[6,3,7,2,5,8,1,4] => 1010010 => 0100101 => 1011010
[6,3,5,7,2,8,1,4] => 1001010 => 0101001 => 1010110
[6,3,5,7,2,4,8,1] => 1001001 => 1001001 => 0110110
[6,2,4,5,7,3,8,1] => 1000101 => 1010001 => 0101110
[6,2,4,5,1,7,8,3] => 1001001 => 1001001 => 0110110
[4,7,1,2,5,6,8,3] => 0100001 => 1000010 => 0111101
[2,6,7,5,8,1,3,4] => 0010100 => 0010100 => 1101011
[4,6,7,1,2,5,8,3] => 0010001 => 1000100 => 0111011
[5,6,2,4,7,3,8,1] => 0100101 => 1010010 => 0101101
[5,4,2,6,7,3,8,1] => 1100101 => 1010011 => 0101100
[5,4,2,6,1,7,8,3] => 1101001 => 1001011 => 0110100
[1,5,4,6,2,7,8,3] => 0101001 => 1001010 => 0110101
[5,6,4,1,2,7,8,3] => 0110001 => 1000110 => 0111001
[6,4,5,1,2,7,8,3] => 1010001 => 1000101 => 0111010
[6,3,5,1,7,8,2,4] => 1010010 => 0100101 => 1011010
[6,5,7,2,8,1,3,4] => 1010100 => 0010101 => 1101010
[6,5,7,1,3,4,8,2] => 1010001 => 1000101 => 0111010
[5,6,4,7,1,3,8,2] => 0101001 => 1001010 => 0110101
[5,4,6,3,1,7,8,2] => 1011001 => 1001101 => 0110010
[7,5,3,2,4,8,1,6] => 1110010 => 0100111 => 1011000
[8,4,5,2,6,1,3,7] => 1010100 => 0010101 => 1101010
[8,5,4,2,1,6,3,7] => 1111010 => 0101111 => 1010000
[8,5,3,4,1,6,2,7] => 1101010 => 0101011 => 1010100
[8,4,5,3,1,6,2,7] => 1011010 => 0101101 => 1010010
[7,5,4,2,1,8,3,6] => 1111010 => 0101111 => 1010000
[7,5,4,2,1,6,8,3] => 1111001 => 1001111 => 0110000
[7,4,5,3,1,6,8,2] => 1011001 => 1001101 => 0110010
[7,4,3,5,6,1,8,2] => 1100101 => 1010011 => 0101100
[5,6,3,7,4,1,8,2] => 0101101 => 1011010 => 0100101
[5,6,7,3,1,4,8,2] => 0011001 => 1001100 => 0110011
[6,7,3,4,1,5,8,2] => 0101001 => 1001010 => 0110101
[6,7,4,2,1,5,8,3] => 0111001 => 1001110 => 0110001
[5,6,7,3,1,8,2,4] => 0011010 => 0101100 => 1010011
[5,6,3,7,8,1,2,4] => 0100100 => 0010010 => 1101101
[5,6,3,7,2,4,8,1] => 0101001 => 1001010 => 0110101
[5,6,7,2,3,8,1,4] => 0010010 => 0100100 => 1011011
[7,4,5,2,8,1,3,6] => 1010100 => 0010101 => 1101010
[6,7,3,2,4,8,1,5] => 0110010 => 0100110 => 1011001
[7,6,4,2,1,3,8,5] => 1111001 => 1001111 => 0110000
[7,6,3,4,1,2,8,5] => 1101001 => 1001011 => 0110100
[7,6,3,2,4,1,8,5] => 1110101 => 1010111 => 0101000
[6,7,3,2,5,1,8,4] => 0110101 => 1010110 => 0101001
[6,5,3,2,7,8,1,4] => 1110010 => 0100111 => 1011000
[6,5,3,2,7,4,8,1] => 1110101 => 1010111 => 0101000
[6,4,5,2,7,3,8,1] => 1010101 => 1010101 => 0101010
[6,4,5,2,7,8,1,3] => 1010010 => 0100101 => 1011010
[7,4,5,2,6,1,8,3] => 1010101 => 1010101 => 0101010
[7,4,5,6,1,2,8,3] => 1001001 => 1001001 => 0110110
[7,5,6,2,1,3,8,4] => 1011001 => 1001101 => 0110010
[6,7,3,5,1,2,8,4] => 0101001 => 1001010 => 0110101
[5,6,7,4,1,2,8,3] => 0011001 => 1001100 => 0110011
[5,6,7,2,4,1,8,3] => 0010101 => 1010100 => 0101011
[5,6,4,2,7,8,1,3] => 0110010 => 0100110 => 1011001
[6,5,7,2,1,8,3,4] => 1011010 => 0101101 => 1010010
[6,5,7,2,1,4,8,3] => 1011001 => 1001101 => 0110010
[5,4,6,7,3,1,8,2] => 1001101 => 1011001 => 0100110
[5,7,8,3,6,4,1,2] => 0010110 => 0110100 => 1001011
[3,7,8,5,6,4,1,2] => 0010110 => 0110100 => 1001011
[3,7,8,5,6,1,4,2] => 0010101 => 1010100 => 0101011
[1,7,8,5,6,3,4,2] => 0010101 => 1010100 => 0101011
[1,7,5,8,6,3,4,2] => 0101101 => 1011010 => 0100101
[3,7,5,8,6,1,4,2] => 0101101 => 1011010 => 0100101
[3,7,5,8,6,4,1,2] => 0101110 => 0111010 => 1000101
[5,7,3,8,6,4,1,2] => 0101110 => 0111010 => 1000101
[7,3,8,5,6,4,1,2] => 1010110 => 0110101 => 1001010
[7,3,5,8,6,4,1,2] => 1001110 => 0111001 => 1000110
[3,5,7,8,6,4,1,2] => 0001110 => 0111000 => 1000111
[1,5,7,8,6,3,4,2] => 0001101 => 1011000 => 0100111
[1,5,7,8,3,6,4,2] => 0001011 => 1101000 => 0010111
[3,5,7,8,1,6,4,2] => 0001011 => 1101000 => 0010111
[5,3,7,8,1,6,4,2] => 1001011 => 1101001 => 0010110
[7,3,5,8,6,1,4,2] => 1001101 => 1011001 => 0100110
[7,3,8,5,6,1,4,2] => 1010101 => 1010101 => 0101010
[7,8,1,5,6,3,4,2] => 0100101 => 1010010 => 0101101
[7,1,8,5,6,3,4,2] => 1010101 => 1010101 => 0101010
[7,1,5,8,6,3,4,2] => 1001101 => 1011001 => 0100110
[5,1,7,8,3,6,4,2] => 1001011 => 1101001 => 0010110
[3,1,7,8,5,6,4,2] => 1001011 => 1101001 => 0010110
[1,3,7,8,5,6,4,2] => 0001011 => 1101000 => 0010111
[3,1,7,5,8,6,4,2] => 1010111 => 1110101 => 0001010
[5,1,7,3,8,6,4,2] => 1010111 => 1110101 => 0001010
[7,1,5,3,8,6,4,2] => 1010111 => 1110101 => 0001010
[7,1,5,8,3,6,4,2] => 1001011 => 1101001 => 0010110
[7,8,1,5,3,6,4,2] => 0101011 => 1101010 => 0010101
[7,8,3,5,1,6,4,2] => 0101011 => 1101010 => 0010101
[7,3,5,8,1,6,4,2] => 1001011 => 1101001 => 0010110
[5,3,7,1,8,6,4,2] => 1010111 => 1110101 => 0001010
[3,5,7,1,8,6,4,2] => 0010111 => 1110100 => 0001011
[1,7,5,3,8,6,4,2] => 0110111 => 1110110 => 0001001
[5,7,3,1,8,6,4,2] => 0110111 => 1110110 => 0001001
[5,7,3,8,6,1,4,2] => 0101101 => 1011010 => 0100101
[3,7,5,8,1,6,4,2] => 0101011 => 1101010 => 0010101
[1,7,5,8,3,6,4,2] => 0101011 => 1101010 => 0010101
[1,7,8,5,3,6,4,2] => 0011011 => 1101100 => 0010011
[3,7,8,5,1,6,4,2] => 0011011 => 1101100 => 0010011
[5,7,8,3,6,1,4,2] => 0010101 => 1010100 => 0101011
[5,7,8,6,3,1,4,2] => 0011101 => 1011100 => 0100011
[7,5,8,6,1,3,4,2] => 1011001 => 1001101 => 0110010
[5,7,8,1,6,3,4,2] => 0010101 => 1010100 => 0101011
[5,7,8,1,3,6,4,2] => 0010011 => 1100100 => 0011011
[3,7,8,1,5,6,4,2] => 0010011 => 1100100 => 0011011
[1,7,8,3,5,6,4,2] => 0010011 => 1100100 => 0011011
[1,7,3,8,5,6,4,2] => 0101011 => 1101010 => 0010101
[3,7,1,8,5,6,4,2] => 0101011 => 1101010 => 0010101
[5,7,1,8,3,6,4,2] => 0101011 => 1101010 => 0010101
[5,7,1,8,6,3,4,2] => 0101101 => 1011010 => 0100101
[7,5,1,8,6,3,4,2] => 1101101 => 1011011 => 0100100
[7,5,8,1,6,3,4,2] => 1010101 => 1010101 => 0101010
[7,8,5,1,6,3,4,2] => 0110101 => 1010110 => 0101001
[7,8,5,1,3,6,4,2] => 0110011 => 1100110 => 0011001
[7,5,8,1,3,6,4,2] => 1010011 => 1100101 => 0011010
[7,5,1,8,3,6,4,2] => 1101011 => 1101011 => 0010100
[7,5,1,3,8,6,4,2] => 1100111 => 1110011 => 0001100
[5,7,1,3,8,6,4,2] => 0100111 => 1110010 => 0001101
[3,7,1,5,8,6,4,2] => 0100111 => 1110010 => 0001101
[1,7,3,5,8,6,4,2] => 0100111 => 1110010 => 0001101
[1,5,3,7,8,6,4,2] => 0100111 => 1110010 => 0001101
[3,5,1,7,8,6,4,2] => 0100111 => 1110010 => 0001101
[5,3,1,7,8,6,4,2] => 1100111 => 1110011 => 0001100
[7,3,1,5,8,6,4,2] => 1100111 => 1110011 => 0001100
[7,3,1,8,5,6,4,2] => 1101011 => 1101011 => 0010100
[7,3,8,1,5,6,4,2] => 1010011 => 1100101 => 0011010
[7,8,3,1,5,6,4,2] => 0110011 => 1100110 => 0011001
[7,8,1,3,5,6,4,2] => 0100011 => 1100010 => 0011101
[7,1,8,3,5,6,4,2] => 1010011 => 1100101 => 0011010
[7,1,3,8,5,6,4,2] => 1001011 => 1101001 => 0010110
[7,1,3,5,8,6,4,2] => 1000111 => 1110001 => 0001110
[3,1,5,7,8,6,4,2] => 1000111 => 1110001 => 0001110
[5,7,3,4,6,8,1,2] => 0100010 => 0100010 => 1011101
[5,7,3,4,8,6,1,2] => 0100110 => 0110010 => 1001101
[5,7,3,4,8,1,6,2] => 0100101 => 1010010 => 0101101
[5,7,3,4,1,8,6,2] => 0101011 => 1101010 => 0010101
[5,7,3,4,1,6,8,2] => 0101001 => 1001010 => 0110101
[5,7,3,4,6,1,2,8] => 0100100 => 0010010 => 1101101
[7,3,5,6,1,2,8,4] => 1001001 => 1001001 => 0110110
[5,7,3,1,4,6,2,8] => 0110010 => 0100110 => 1011001
[5,7,3,1,4,6,8,2] => 0110001 => 1000110 => 0111001
[5,7,3,1,4,8,6,2] => 0110011 => 1100110 => 0011001
[5,7,3,1,4,8,2,6] => 0110010 => 0100110 => 1011001
[5,3,7,4,1,2,8,6] => 1011001 => 1001101 => 0110010
[5,3,7,4,1,2,6,8] => 1011000 => 0001101 => 1110010
[5,3,7,1,4,2,6,8] => 1010100 => 0010101 => 1101010
[5,3,7,1,4,2,8,6] => 1010101 => 1010101 => 0101010
[3,7,5,1,2,8,6,4] => 0110011 => 1100110 => 0011001
[7,8,3,5,1,2,6,4] => 0101001 => 1001010 => 0110101
[7,3,8,5,1,2,6,4] => 1011001 => 1001101 => 0110010
[7,3,5,8,1,2,6,4] => 1001001 => 1001001 => 0110110
[3,7,5,1,2,6,4,8] => 0110010 => 0100110 => 1011001
[3,7,5,1,2,6,8,4] => 0110001 => 1000110 => 0111001
[6,1,4,3,5,2,8,7] => 1010101 => 1010101 => 0101010
[2,5,7,3,8,4,1,6] => 0010110 => 0110100 => 1001011
[5,4,7,8,6,1,3,2] => 1001101 => 1011001 => 0100110
[7,5,6,2,8,3,1,4] => 1010110 => 0110101 => 1001010
[4,7,2,5,8,3,1,6] => 0100110 => 0110010 => 1001101
[6,2,4,5,1,3,8,7] => 1001001 => 1001001 => 0110110
[5,1,4,6,3,2,8,7] => 1001101 => 1011001 => 0100110
[3,5,6,2,4,1,8,7] => 0010101 => 1010100 => 0101011
[3,8,6,7,5,4,1,2] => 0101110 => 0111010 => 1000101
[6,2,7,8,3,4,1,5] => 1001010 => 0101001 => 1010110
[2,5,3,4,8,1,7,6] => 0100101 => 1010010 => 0101101
[8,7,1,2,5,3,4,6] => 1100100 => 0010011 => 1101100
[5,1,8,2,3,4,7,6] => 1010001 => 1000101 => 0111010
[5,4,7,6,2,8,1,3] => 1011010 => 0101101 => 1010010
[3,7,8,1,5,4,6,2] => 0010101 => 1010100 => 0101011
[7,1,3,4,6,8,5,2] => 1000011 => 1100001 => 0011110
[8,3,6,5,7,1,4,2] => 1010101 => 1010101 => 0101010
[5,8,7,1,4,6,2,3] => 0110010 => 0100110 => 1011001
[4,7,6,1,8,3,5,2] => 0110101 => 1010110 => 0101001
[4,7,2,6,3,8,5,1] => 0101011 => 1101010 => 0010101
[2,1,8,4,6,7,3,5] => 1010010 => 0100101 => 1011010
[4,7,8,6,3,1,2,5] => 0011100 => 0011100 => 1100011
[3,8,1,5,6,7,2,4] => 0100010 => 0100010 => 1011101
[6,7,2,4,8,5,3,1] => 0100111 => 1110010 => 0001101
[2,8,3,6,7,5,1,4] => 0100110 => 0110010 => 1001101
[8,2,1,7,6,3,5,4] => 1101101 => 1011011 => 0100100
[3,2,4,5,8,1,7,6] => 1000101 => 1010001 => 0101110
[7,4,6,3,2,1,8,5] => 1011101 => 1011101 => 0100010
[4,7,3,2,1,8,6,5] => 0111011 => 1101110 => 0010001
[6,4,7,5,2,3,8,1] => 1011001 => 1001101 => 0110010
[6,4,8,1,7,3,2,5] => 1010110 => 0110101 => 1001010
[4,8,7,2,3,1,5,6] => 0110100 => 0010110 => 1101001
[4,2,3,1,8,7,5,6] => 1010110 => 0110101 => 1001010
[7,6,8,1,3,5,2,4] => 1010010 => 0100101 => 1011010
[6,7,5,2,3,1,8,4] => 0110101 => 1010110 => 0101001
[4,7,2,6,5,1,8,3] => 0101101 => 1011010 => 0100101
[6,4,2,1,8,5,7,3] => 1110101 => 1010111 => 0101000
[7,2,1,5,6,8,4,3] => 1100011 => 1100011 => 0011100
[8,7,2,6,4,1,5,3] => 1101101 => 1011011 => 0100100
[6,7,8,2,5,3,1,4] => 0010110 => 0110100 => 1001011
[2,1,7,3,6,8,5,4] => 1010011 => 1100101 => 0011010
[2,1,5,7,8,4,6,3] => 1000101 => 1010001 => 0101110
[2,5,7,8,3,6,1,4] => 0001010 => 0101000 => 1010111
[6,4,1,5,7,2,8,3] => 1100101 => 1010011 => 0101100
[7,4,8,1,2,5,6,3] => 1010001 => 1000101 => 0111010
[4,2,7,8,6,3,5,1] => 1001101 => 1011001 => 0100110
[6,1,7,4,3,2,8,5] => 1011101 => 1011101 => 0100010
[6,8,3,4,2,1,7,5] => 0101101 => 1011010 => 0100101
[4,2,6,1,5,7,8,3] => 1010001 => 1000101 => 0111010
[2,4,6,7,3,5,8,1] => 0001001 => 1001000 => 0110111
[6,5,8,3,7,4,1,2] => 1010110 => 0110101 => 1001010
[7,1,4,8,3,5,6,2] => 1001001 => 1001001 => 0110110
[6,8,7,5,3,4,1,2] => 0111010 => 0101110 => 1010001
[4,8,6,3,1,5,7,2] => 0111001 => 1001110 => 0110001
[3,4,8,2,5,7,6,1] => 0010011 => 1100100 => 0011011
[3,5,7,2,8,6,1,4] => 0010110 => 0110100 => 1001011
[2,5,7,4,8,6,1,3] => 0010110 => 0110100 => 1001011
[2,6,3,7,5,1,8,4] => 0101101 => 1011010 => 0100101
[2,6,4,8,7,5,1,3] => 0101110 => 0111010 => 1000101
[6,3,7,2,8,5,1,4] => 1010110 => 0110101 => 1001010
[3,6,2,5,8,7,1,4] => 0100110 => 0110010 => 1001101
[5,2,8,4,7,6,1,3] => 1010110 => 0110101 => 1001010
[7,2,4,8,6,5,1,3] => 1001110 => 0111001 => 1000110
[6,2,4,8,7,5,1,3] => 1001110 => 0111001 => 1000110
[2,4,5,8,7,6,1,3] => 0001110 => 0111000 => 1000111
[4,2,7,3,8,1,6,5] => 1010101 => 1010101 => 0101010
[2,5,1,4,7,3,8,6] => 0100101 => 1010010 => 0101101
[6,1,3,8,7,2,5,4] => 1001101 => 1011001 => 0100110
[3,1,5,6,2,8,7,4] => 1001011 => 1101001 => 0010110
[4,1,5,2,8,7,6,3] => 1010111 => 1110101 => 0001010
[7,1,4,2,8,6,5,3] => 1010111 => 1110101 => 0001010
[4,1,5,3,2,8,7,6] => 1011011 => 1101101 => 0010010
[7,2,3,5,1,8,6,4] => 1001011 => 1101001 => 0010110
[3,4,5,1,8,7,6,2] => 0010111 => 1110100 => 0001011
[1,4,5,2,8,7,6,3] => 0010111 => 1110100 => 0001011
[1,6,4,2,8,7,5,3] => 0110111 => 1110110 => 0001001
[5,6,3,1,8,7,4,2] => 0110111 => 1110110 => 0001001
[7,4,2,5,1,8,6,3] => 1101011 => 1101011 => 0010100
[5,3,6,2,8,1,7,4] => 1010101 => 1010101 => 0101010
[4,6,2,7,5,1,8,3] => 0101101 => 1011010 => 0100101
[1,5,3,6,2,8,7,4] => 0101011 => 1101010 => 0010101
[1,5,8,3,2,7,6,4] => 0011011 => 1101100 => 0010011
[4,5,8,2,1,7,6,3] => 0011011 => 1101100 => 0010011
[3,6,2,5,1,4,8,7] => 0101001 => 1001010 => 0110101
[5,2,8,4,1,3,7,6] => 1011001 => 1001101 => 0110010
[2,4,8,7,1,3,6,5] => 0011001 => 1001100 => 0110011
[1,3,8,2,4,7,6,5] => 0010011 => 1100100 => 0011011
[6,3,1,7,2,8,5,4] => 1101011 => 1101011 => 0010100
[7,5,1,2,8,6,4,3] => 1100111 => 1110011 => 0001100
[1,5,2,3,8,7,6,4] => 0100111 => 1110010 => 0001101
[4,5,1,2,8,7,6,3] => 0100111 => 1110010 => 0001101
[6,4,1,2,8,7,5,3] => 1100111 => 1110011 => 0001100
[5,3,1,7,2,8,6,4] => 1101011 => 1101011 => 0010100
[5,2,8,1,3,7,6,4] => 1010011 => 1100101 => 0011010
[4,7,5,6,8,3,1,2] => 0100110 => 0110010 => 1001101
[8,6,4,7,5,3,1,2] => 1101110 => 0111011 => 1000100
[1,6,3,7,5,8,4,2] => 0101011 => 1101010 => 0010101
[1,3,7,4,5,8,6,2] => 0010011 => 1100100 => 0011011
[6,8,4,7,5,3,1,2] => 0101110 => 0111010 => 1000101
[4,8,7,5,6,3,1,2] => 0110110 => 0110110 => 1001001
[8,6,5,2,1,4,3,7] => 1111010 => 0101111 => 1010000
[2,7,6,3,1,4,5,8] => 0111000 => 0001110 => 1110001
[2,7,6,4,5,1,3,8] => 0110100 => 0010110 => 1101001
[5,7,2,6,4,1,3,8] => 0101100 => 0011010 => 1100101
[1,8,2,7,3,6,5,4] => 0101011 => 1101010 => 0010101
[2,1,3,8,4,7,5,6] => 1001010 => 0101001 => 1010110
[8,1,2,7,4,3,6,5] => 1001101 => 1011001 => 0100110
[8,7,2,1,5,4,3,6] => 1110110 => 0110111 => 1001000
[2,4,8,3,1,5,6,7] => 0011000 => 0001100 => 1110011
[4,7,3,8,2,1,5,6] => 0101100 => 0011010 => 1100101
[5,2,7,3,1,4,6,8] => 1011000 => 0001101 => 1110010
[8,3,7,2,1,5,4,6] => 1011010 => 0101101 => 1010010
[2,6,4,5,7,1,3,8] => 0100100 => 0010010 => 1101101
[7,6,3,1,8,4,5,2] => 1110101 => 1010111 => 0101000
[1,7,5,8,6,4,3,2] => 0101111 => 1111010 => 0000101
[6,5,1,2,8,3,7,4] => 1100101 => 1010011 => 0101100
[6,8,4,1,3,7,5,2] => 0110011 => 1100110 => 0011001
[5,8,3,1,7,4,6,2] => 0110101 => 1010110 => 0101001
[8,3,1,7,5,4,6,2] => 1101101 => 1011011 => 0100100
[1,2,8,7,6,3,5,4] => 0011101 => 1011100 => 0100011
[2,3,1,8,7,4,5,6] => 0101100 => 0011010 => 1100101
[2,4,1,8,5,7,3,6] => 0101010 => 0101010 => 1010101
[5,8,2,1,7,6,3,4] => 0110110 => 0110110 => 1001001
[6,2,7,1,8,5,3,4] => 1010110 => 0110101 => 1001010
[8,7,1,6,5,4,3,2] => 1101111 => 1111011 => 0000100
[7,1,8,3,6,5,4,2] => 1010111 => 1110101 => 0001010
[8,1,2,3,4,5,9,6,7] => 10000010 => 01000001 => 10111110
[8,1,2,3,4,9,5,6,7] => 10000100 => 00100001 => 11011110
[8,1,2,9,3,4,5,6,7] => 10010000 => 00001001 => 11110110
[8,1,9,2,3,4,5,6,7] => 10100000 => 00000101 => 11111010
[6,1,2,3,4,5,8,9,7] => 10000001 => 10000001 => 01111110
[9,1,2,3,4,5,6,10,7,8] => 100000010 => 010000001 => 101111110
[5,1,2,3,4,8,9,6,7] => 10000010 => 01000001 => 10111110
[9,1,2,3,4,5,10,6,7,8] => 100000100 => 001000001 => 110111110
[4,1,2,3,8,9,5,6,7] => 10000100 => 00100001 => 11011110
[3,1,2,8,9,4,5,6,7] => 10001000 => 00010001 => 11101110
[9,1,2,3,10,4,5,6,7,8] => 100010000 => 000010001 => 111101110
[2,1,8,9,3,4,5,6,7] => 10010000 => 00001001 => 11110110
[9,1,2,10,3,4,5,6,7,8] => 100100000 => 000001001 => 111110110
[3,5,8,7,2,6,4,1] => 0011011 => 1101100 => 0010011
[5,8,2,7,1,6,4,3] => 0101011 => 1101010 => 0010101
[2,1,6,4,5,8,3,7] => 1010010 => 0100101 => 1011010
[8,6,3,7,5,2,1,4] => 1101110 => 0111011 => 1000100
[4,6,3,8,5,2,1,7] => 0101110 => 0111010 => 1000101
[4,6,3,7,5,2,8,1] => 0101101 => 1011010 => 0100101
[3,5,7,8,2,6,1,4] => 0001010 => 0101000 => 1010111
[7,2,3,4,6,8,5,1] => 1000011 => 1100001 => 0011110
[4,2,3,6,1,5,8,7] => 1001001 => 1001001 => 0110110
[4,8,3,7,5,1,6,2] => 0101101 => 1011010 => 0100101
[5,2,3,4,8,7,1,6] => 1000110 => 0110001 => 1001110
[5,2,3,4,6,8,1,7] => 1000010 => 0100001 => 1011110
[4,2,8,5,7,6,1,3] => 1010110 => 0110101 => 1001010
[3,7,6,4,5,1,8,2] => 0110101 => 1010110 => 0101001
[3,8,6,4,5,1,2,7] => 0110100 => 0010110 => 1101001
[4,8,3,7,5,2,1,6] => 0101110 => 0111010 => 1000101
[8,7,3,6,5,1,2,4] => 1101100 => 0011011 => 1100100
[4,2,7,5,8,6,3,1] => 1010111 => 1110101 => 0001010
[5,8,1,7,3,6,4,2] => 0101011 => 1101010 => 0010101
[5,2,7,8,4,6,3,1] => 1001011 => 1101001 => 0010110
[5,2,8,3,7,6,1,4] => 1010110 => 0110101 => 1001010
[8,2,7,3,1,6,4,5] => 1011010 => 0101101 => 1010010
[6,2,3,4,8,5,1,7] => 1000110 => 0110001 => 1001110
[6,2,3,4,1,8,5,7] => 1001010 => 0101001 => 1010110
[7,2,3,4,1,8,6,5] => 1001011 => 1101001 => 0010110
[7,2,3,4,1,5,8,6] => 1001001 => 1001001 => 0110110
[1,2,3,4,8,7,5,6] => 0000110 => 0110000 => 1001111
[1,2,8,5,3,4,6,7] => 0011000 => 0001100 => 1110011
[1,8,4,2,3,5,6,7] => 0110000 => 0000110 => 1111001
[8,6,7,4,1,5,3,2] => 1011011 => 1101101 => 0010010
[4,8,6,7,5,1,3,2] => 0101101 => 1011010 => 0100101
[7,1,8,4,6,5,2,3] => 1010110 => 0110101 => 1001010
[8,7,1,5,4,6,2,3] => 1101010 => 0101011 => 1010100
[8,5,7,1,4,6,3,2] => 1010011 => 1100101 => 0011010
[6,4,8,5,1,7,3,2] => 1011011 => 1101101 => 0010010
[4,8,5,7,1,6,3,2] => 0101011 => 1101010 => 0010101
[8,4,7,1,5,6,3,2] => 1010011 => 1100101 => 0011010
[8,7,1,4,5,6,3,2] => 1100011 => 1100011 => 0011100
[8,7,4,5,6,1,3,2] => 1100101 => 1010011 => 0101100
[8,7,5,1,4,6,2,3] => 1110010 => 0100111 => 1011000
[8,7,2,5,1,4,6,3] => 1101001 => 1001011 => 0110100
[4,8,7,2,5,1,6,3] => 0110101 => 1010110 => 0101001
[1,6,4,8,5,2,7,3] => 0101101 => 1011010 => 0100101
[8,7,1,4,2,5,6,3] => 1101001 => 1001011 => 0110100
[8,7,5,1,2,4,6,3] => 1110001 => 1000111 => 0111000
[7,1,8,5,6,2,3,4] => 1010100 => 0010101 => 1101010
[3,8,7,1,2,5,6,4] => 0110001 => 1000110 => 0111001
[3,5,8,7,1,2,6,4] => 0011001 => 1001100 => 0110011
[2,3,8,5,7,1,6,4] => 0010101 => 1010100 => 0101011
[3,8,7,1,5,6,2,4] => 0110010 => 0100110 => 1011001
[3,5,8,7,1,6,2,4] => 0011010 => 0101100 => 1010011
[2,3,8,6,7,5,1,4] => 0010110 => 0110100 => 1001011
[3,2,8,6,7,5,1,4] => 1010110 => 0110101 => 1001010
[4,1,8,6,2,7,5,3] => 1011011 => 1101101 => 0010010
[8,7,4,1,2,6,5,3] => 1110011 => 1100111 => 0011000
[1,3,8,6,7,5,2,4] => 0010110 => 0110100 => 1001011
[5,7,1,8,2,6,3,4] => 0101010 => 0101010 => 1010101
[2,8,7,1,5,6,3,4] => 0110010 => 0100110 => 1011001
[8,7,1,5,2,4,6,3] => 1101001 => 1001011 => 0110100
[7,1,8,2,4,6,5,3] => 1010011 => 1100101 => 0011010
[1,6,2,8,4,7,5,3] => 0101011 => 1101010 => 0010101
[1,3,8,5,7,2,6,4] => 0010101 => 1010100 => 0101011
[1,8,3,7,2,5,6,4] => 0101001 => 1001010 => 0110101
[2,8,7,1,3,5,6,4] => 0110001 => 1000110 => 0111001
[5,7,1,8,2,3,6,4] => 0101001 => 1001010 => 0110101
[7,1,8,2,3,5,6,4] => 1010001 => 1000101 => 0111010
[8,6,3,7,4,1,5,2] => 1101101 => 1011011 => 0100100
[4,2,8,6,7,5,1,3] => 1010110 => 0110101 => 1001010
[8,4,2,7,5,6,1,3] => 1101010 => 0101011 => 1010100
[4,8,3,6,1,7,5,2] => 0101011 => 1101010 => 0010101
[8,3,4,7,5,1,6,2] => 1001101 => 1011001 => 0100110
[8,3,7,4,5,1,6,2] => 1010101 => 1010101 => 0101010
[8,7,4,2,5,6,1,3] => 1110010 => 0100111 => 1011000
[8,7,5,1,6,2,3,4] => 1110100 => 0010111 => 1101000
[8,7,2,4,1,5,6,3] => 1101001 => 1001011 => 0110100
[4,8,6,1,7,2,5,3] => 0110101 => 1010110 => 0101001
[4,7,1,8,2,6,5,3] => 0101011 => 1101010 => 0010101
[4,2,8,6,7,1,5,3] => 1010101 => 1010101 => 0101010
[8,7,4,1,2,5,6,3] => 1110001 => 1000111 => 0111000
[8,2,7,1,6,3,4,5] => 1010100 => 0010101 => 1101010
[8,2,7,1,3,6,4,5] => 1010010 => 0100101 => 1011010
[2,8,3,6,7,1,5,4] => 0100101 => 1010010 => 0101101
[8,7,2,1,3,5,6,4] => 1110001 => 1000111 => 0111000
[1,8,7,2,3,6,4,5] => 0110010 => 0100110 => 1011001
[1,8,7,2,6,3,4,5] => 0110100 => 0010110 => 1101001
[8,2,7,3,6,1,4,5] => 1010100 => 0010101 => 1101010
[1,8,7,3,6,2,4,5] => 0110100 => 0010110 => 1101001
[1,8,2,7,6,3,4,5] => 0101100 => 0011010 => 1100101
[8,2,7,4,1,5,6,3] => 1011001 => 1001101 => 0110010
[8,2,1,7,5,6,3,4] => 1101010 => 0101011 => 1010100
[8,7,3,1,5,6,2,4] => 1110010 => 0100111 => 1011000
[2,8,7,3,5,6,1,4] => 0110010 => 0100110 => 1011001
[8,3,1,6,7,5,2,4] => 1100110 => 0110011 => 1001100
[8,5,2,1,6,7,4,3] => 1110011 => 1100111 => 0011000
[1,5,2,8,6,7,4,3] => 0101011 => 1101010 => 0010101
[1,2,8,6,7,5,3,4] => 0010110 => 0110100 => 1001011
[1,8,3,6,7,5,2,4] => 0100110 => 0110010 => 1001101
[8,2,3,6,7,5,1,4] => 1000110 => 0110001 => 1001110
[8,3,7,2,5,6,1,4] => 1010010 => 0100101 => 1011010
[8,1,3,7,5,6,2,4] => 1001010 => 0101001 => 1010110
[8,4,1,2,7,5,6,3] => 1100101 => 1010011 => 0101100
[8,1,4,2,6,7,5,3] => 1010011 => 1100101 => 0011010
[1,2,8,6,7,3,5,4] => 0010101 => 1010100 => 0101011
[8,1,2,7,3,6,4,5] => 1001010 => 0101001 => 1010110
[8,1,7,3,6,2,4,5] => 1010100 => 0010101 => 1101010
[8,1,7,2,6,3,4,5] => 1010100 => 0010101 => 1101010
[8,1,7,2,3,6,4,5] => 1010010 => 0100101 => 1011010
[8,1,3,7,2,5,6,4] => 1001001 => 1001001 => 0110110
[1,8,3,6,7,2,5,4] => 0100101 => 1010010 => 0101101
[1,7,8,2,3,6,5,4] => 0010011 => 1100100 => 0011011
[8,3,7,1,2,5,6,4] => 1010001 => 1000101 => 0111010
[8,7,1,2,3,6,4,5] => 1100010 => 0100011 => 1011100
[2,8,5,7,4,6,3,1] => 0101011 => 1101010 => 0010101
[3,1,8,5,7,4,2,6] => 1010110 => 0110101 => 1001010
[8,3,5,7,4,2,6,1] => 1001101 => 1011001 => 0100110
[8,3,6,2,4,5,7,1] => 1010001 => 1000101 => 0111010
[2,8,6,4,3,5,7,1] => 0111001 => 1001110 => 0110001
[2,6,8,3,5,4,7,1] => 0010101 => 1010100 => 0101011
[2,7,5,8,4,6,3,1] => 0101011 => 1101010 => 0010101
[8,4,2,7,6,1,3,5] => 1101100 => 0011011 => 1100100
[4,8,1,7,6,3,2,5] => 0101110 => 0111010 => 1000101
[4,1,7,6,2,3,5,8] => 1011000 => 0001101 => 1110010
[3,7,1,8,6,2,5,4] => 0101101 => 1011010 => 0100101
[3,1,7,6,4,5,2,8] => 1011010 => 0101101 => 1010010
[3,1,7,5,8,4,2,6] => 1010110 => 0110101 => 1001010
[3,1,6,8,7,5,2,4] => 1001110 => 0111001 => 1000110
[6,3,8,7,5,2,4,1] => 1011101 => 1011101 => 0100010
[7,3,5,8,4,2,6,1] => 1001101 => 1011001 => 0100110
[7,3,6,4,2,8,5,1] => 1011011 => 1101101 => 0010010
[7,8,3,6,2,5,4,1] => 0101011 => 1101010 => 0010101
[7,4,8,2,1,6,3,5] => 1011010 => 0101101 => 1010010
[8,7,4,6,3,2,5,1] => 1101101 => 1011011 => 0100100
[7,8,5,2,1,4,3,6] => 0111010 => 0101110 => 1010001
[7,5,2,3,1,4,8,6] => 1101001 => 1001011 => 0110100
[7,4,6,2,3,8,1,5] => 1010010 => 0100101 => 1011010
[6,4,2,5,8,3,7,1] => 1100101 => 1010011 => 0101100
[4,6,5,8,1,3,2,7] => 0101010 => 0101010 => 1010101
[4,7,1,5,3,8,2,6] => 0101010 => 0101010 => 1010101
[4,7,8,1,3,6,2,5] => 0010010 => 0100100 => 1011011
[5,7,1,3,4,6,2,8] => 0100010 => 0100010 => 1011101
[5,7,1,4,2,3,6,8] => 0101000 => 0001010 => 1110101
[5,8,1,3,2,4,6,7] => 0101000 => 0001010 => 1110101
[4,8,6,1,3,2,7,5] => 0110101 => 1010110 => 0101001
[8,4,6,2,1,3,7,5] => 1011001 => 1001101 => 0110010
[5,4,8,7,2,3,6,1] => 1011001 => 1001101 => 0110010
[5,4,8,7,3,1,2,6] => 1011100 => 0011101 => 1100010
[6,8,3,7,2,5,4,1] => 0101011 => 1101010 => 0010101
[5,4,6,8,2,3,7,1] => 1001001 => 1001001 => 0110110
[5,7,4,2,8,3,6,1] => 0110101 => 1010110 => 0101001
[6,4,7,2,1,8,3,5] => 1011010 => 0101101 => 1010010
[6,5,3,4,1,2,8,7] => 1101001 => 1001011 => 0110100
[6,8,5,4,1,3,2,7] => 0111010 => 0101110 => 1010001
[6,4,3,7,1,5,2,8] => 1101010 => 0101011 => 1010100
[9,8,7,6,5,2,3,1,4] => 11111010 => 01011111 => 10100000
[9,8,7,6,3,4,2,1,5] => 11110110 => 01101111 => 10010000
[9,8,7,4,5,3,2,1,6] => 11101110 => 01110111 => 10001000
[9,8,5,6,4,3,2,1,7] => 11011110 => 01111011 => 10000100
[9,6,7,5,4,3,2,1,8] => 10111110 => 01111101 => 10000010
[7,4,2,6,1,5,3,8] => 1101010 => 0101011 => 1010100
[7,4,2,5,6,1,3,8] => 1100100 => 0010011 => 1101100
[6,4,2,8,1,5,7,3] => 1101001 => 1001011 => 0110100
[6,3,7,8,2,5,1,4] => 1001010 => 0101001 => 1010110
[7,3,5,6,4,2,1,8] => 1001110 => 0111001 => 1000110
[7,4,3,1,5,6,2,8] => 1110010 => 0100111 => 1011000
[7,4,5,2,6,1,3,8] => 1010100 => 0010101 => 1101010
[5,3,7,2,8,6,4,1] => 1010111 => 1110101 => 0001010
[5,3,8,2,6,7,4,1] => 1010011 => 1100101 => 0011010
[6,3,8,2,5,4,7,1] => 1010101 => 1010101 => 0101010
[6,4,8,2,1,5,7,3] => 1011001 => 1001101 => 0110010
[6,4,3,1,8,2,7,5] => 1110101 => 1010111 => 0101000
[5,3,7,8,2,6,4,1] => 1001011 => 1101001 => 0010110
[4,7,8,5,6,3,2,1] => 0010111 => 1110100 => 0001011
[5,3,7,6,8,2,4,1] => 1010101 => 1010101 => 0101010
[5,7,8,4,6,2,1,3] => 0010110 => 0110100 => 1001011
[5,8,4,3,6,7,1,2] => 0110010 => 0100110 => 1011001
[5,8,6,4,7,2,1,3] => 0110110 => 0110110 => 1001001
[5,3,8,6,2,7,4,1] => 1011011 => 1101101 => 0010010
[4,7,5,8,6,3,2,1] => 0101111 => 1111010 => 0000101
[4,8,6,7,5,3,2,1] => 0101111 => 1111010 => 0000101
[6,3,8,7,2,4,1,5] => 1011010 => 0101101 => 1010010
[5,3,8,7,2,6,4,1] => 1011011 => 1101101 => 0010010
[5,3,8,6,7,2,4,1] => 1010101 => 1010101 => 0101010
[5,3,7,8,6,2,4,1] => 1001101 => 1011001 => 0100110
[5,7,6,4,8,2,1,3] => 0110110 => 0110110 => 1001001
[5,8,4,6,7,2,1,3] => 0100110 => 0110010 => 1001101
[6,4,2,8,1,7,3,5] => 1101010 => 0101011 => 1010100
[6,5,2,4,3,7,8,1] => 1101001 => 1001011 => 0110100
[5,4,6,2,8,7,1,3] => 1010110 => 0110101 => 1001010
[5,6,3,8,7,2,4,1] => 0101101 => 1011010 => 0100101
[6,7,4,3,1,8,2,5] => 0111010 => 0101110 => 1010001
[5,7,4,3,6,8,1,2] => 0110010 => 0100110 => 1011001
[5,7,3,8,6,2,4,1] => 0101101 => 1011010 => 0100101
[4,5,8,6,7,3,2,1] => 0010111 => 1110100 => 0001011
[4,6,8,5,7,3,2,1] => 0010111 => 1110100 => 0001011
[5,6,8,3,7,2,4,1] => 0010101 => 1010100 => 0101011
[5,4,6,8,2,7,1,3] => 1001010 => 0101001 => 1010110
[5,7,8,2,6,4,1,3] => 0010110 => 0110100 => 1001011
[1,7,4,8,6,2,3,5] => 0101100 => 0011010 => 1100101
[3,6,2,5,7,8,1,4] => 0100010 => 0100010 => 1011101
[5,2,7,4,6,8,1,3] => 1010010 => 0100101 => 1011010
[5,3,6,7,1,8,4,2] => 1001011 => 1101001 => 0010110
[4,2,5,6,7,1,8,3] => 1000101 => 1010001 => 0101110
[8,1,3,6,7,2,4,5] => 1000100 => 0010001 => 1101110
[8,1,4,2,5,6,3,7] => 1010010 => 0100101 => 1011010
[8,1,4,2,7,5,3,6] => 1010110 => 0110101 => 1001010
[6,1,3,8,2,7,4,5] => 1001010 => 0101001 => 1010110
[7,3,4,1,5,8,6,2] => 1010011 => 1100101 => 0011010
[1,7,5,2,8,6,3,4] => 0110110 => 0110110 => 1001001
[3,7,4,1,8,5,6,2] => 0110101 => 1010110 => 0101001
[5,6,3,1,7,8,4,2] => 0110011 => 1100110 => 0011001
[3,6,4,8,1,5,7,2] => 0101001 => 1001010 => 0110101
[1,5,8,4,2,6,3,7] => 0011010 => 0101100 => 1010011
[3,5,7,4,1,6,8,2] => 0011001 => 1001100 => 0110011
[3,5,7,1,2,6,4,8] => 0010010 => 0100100 => 1011011
[4,5,1,8,2,3,7,6] => 0101001 => 1001010 => 0110101
[4,7,1,8,2,6,3,5] => 0101010 => 0101010 => 1010101
[7,5,1,2,3,8,6,4] => 1100011 => 1100011 => 0011100
[6,4,1,2,7,3,8,5] => 1100101 => 1010011 => 0101100
[5,2,6,1,3,4,8,7] => 1010001 => 1000101 => 0111010
[7,8,4,5,1,3,2,6] => 0101010 => 0101010 => 1010101
[6,7,1,3,2,5,4,8] => 0101010 => 0101010 => 1010101
[6,7,1,4,3,5,2,8] => 0101010 => 0101010 => 1010101
[7,8,2,3,1,5,4,6] => 0101010 => 0101010 => 1010101
[7,8,2,4,3,5,1,6] => 0101010 => 0101010 => 1010101
[7,8,2,4,1,5,3,6] => 0101010 => 0101010 => 1010101
[1,4,2,6,5,7,3,8] => 0101010 => 0101010 => 1010101
[5,6,1,4,2,7,3,8] => 0101010 => 0101010 => 1010101
[6,7,2,4,1,5,3,8] => 0101010 => 0101010 => 1010101
[6,7,2,4,3,5,1,8] => 0101010 => 0101010 => 1010101
[6,7,2,3,1,5,4,8] => 0101010 => 0101010 => 1010101
[6,7,3,5,4,8,1,2] => 0101010 => 0101010 => 1010101
[2,4,1,6,5,7,3,8] => 0101010 => 0101010 => 1010101
[1,5,2,6,4,7,3,8] => 0101010 => 0101010 => 1010101
[2,5,1,6,4,7,3,8] => 0101010 => 0101010 => 1010101
[3,6,5,7,4,8,1,2] => 0101010 => 0101010 => 1010101
[5,6,2,4,3,7,1,8] => 0101010 => 0101010 => 1010101
[4,5,2,6,1,7,3,8] => 0101010 => 0101010 => 1010101
[4,5,1,6,3,7,2,8] => 0101010 => 0101010 => 1010101
[4,5,3,6,1,7,2,8] => 0101010 => 0101010 => 1010101
[5,6,3,4,1,7,2,8] => 0101010 => 0101010 => 1010101
[5,6,1,4,3,7,2,8] => 0101010 => 0101010 => 1010101
[5,6,1,3,2,7,4,8] => 0101010 => 0101010 => 1010101
[5,6,4,7,1,3,2,8] => 0101010 => 0101010 => 1010101
[6,7,4,5,1,3,2,8] => 0101010 => 0101010 => 1010101
[6,7,5,8,1,3,2,4] => 0101010 => 0101010 => 1010101
[4,5,1,3,2,7,6,8] => 0101010 => 0101010 => 1010101
[4,6,5,7,1,3,2,8] => 0101010 => 0101010 => 1010101
[4,6,1,3,2,7,5,8] => 0101010 => 0101010 => 1010101
[1,4,3,6,2,7,5,8] => 0101010 => 0101010 => 1010101
[3,4,1,6,5,7,2,8] => 0101010 => 0101010 => 1010101
[4,5,2,3,1,7,6,8] => 0101010 => 0101010 => 1010101
[4,5,3,7,6,8,1,2] => 0101010 => 0101010 => 1010101
[4,6,5,7,3,8,1,2] => 0101010 => 0101010 => 1010101
[4,6,5,7,2,3,1,8] => 0101010 => 0101010 => 1010101
[3,5,4,6,1,7,2,8] => 0101010 => 0101010 => 1010101
[3,5,1,6,4,7,2,8] => 0101010 => 0101010 => 1010101
[1,5,3,6,4,7,2,8] => 0101010 => 0101010 => 1010101
[1,5,3,6,2,7,4,8] => 0101010 => 0101010 => 1010101
[3,5,2,6,1,7,4,8] => 0101010 => 0101010 => 1010101
[3,5,2,6,4,7,1,8] => 0101010 => 0101010 => 1010101
[3,4,2,6,1,7,5,8] => 0101010 => 0101010 => 1010101
[4,6,2,3,1,7,5,8] => 0101010 => 0101010 => 1010101
[2,4,3,6,1,7,5,8] => 0101010 => 0101010 => 1010101
[2,5,3,6,4,7,1,8] => 0101010 => 0101010 => 1010101
[2,5,3,6,1,7,4,8] => 0101010 => 0101010 => 1010101
[3,6,2,7,5,4,8,1] => 0101101 => 1011010 => 0100101
[4,6,1,7,3,8,2,5] => 0101010 => 0101010 => 1010101
[5,2,6,7,4,3,8,1] => 1001101 => 1011001 => 0100110
[3,5,2,7,6,4,8,1] => 0101101 => 1011010 => 0100101
[1,5,7,2,8,3,6,4] => 0010101 => 1010100 => 0101011
[2,5,7,3,1,8,4,6] => 0011010 => 0101100 => 1010011
[1,3,7,2,8,5,6,4] => 0010101 => 1010100 => 0101011
[2,1,5,6,8,4,3,7] => 1000110 => 0110001 => 1001110
[1,3,7,2,8,5,4,6] => 0010110 => 0110100 => 1001011
[4,6,2,7,1,8,3,5] => 0101010 => 0101010 => 1010101
[1,5,4,3,6,8,2,7] => 0110010 => 0100110 => 1011001
[1,6,4,5,7,8,3,2] => 0100011 => 1100010 => 0011101
[2,1,5,6,8,4,7,3] => 1000101 => 1010001 => 0101110
[2,1,5,6,8,7,3,4] => 1000110 => 0110001 => 1001110
[3,6,5,2,7,8,4,1] => 0110011 => 1100110 => 0011001
[6,2,4,7,5,8,3,1] => 1001011 => 1101001 => 0010110
[1,5,7,8,4,2,6,3] => 0001101 => 1011000 => 0100111
[3,7,4,1,8,6,2,5] => 0110110 => 0110110 => 1001001
[3,4,6,8,5,7,2,1] => 0001011 => 1101000 => 0010111
[4,2,5,7,3,1,8,6] => 1001101 => 1011001 => 0100110
[4,5,6,2,8,7,3,1] => 0010111 => 1110100 => 0001011
[2,5,6,8,1,7,4,3] => 0001011 => 1101000 => 0010111
[4,5,6,1,8,7,3,2] => 0010111 => 1110100 => 0001011
[4,5,6,3,1,8,7,2] => 0011011 => 1101100 => 0010011
[4,3,6,2,1,7,5,8] => 1011010 => 0101101 => 1010010
[4,6,3,2,1,7,5,8] => 0111010 => 0101110 => 1010001
[4,6,3,1,7,5,2,8] => 0110110 => 0110110 => 1001001
[4,5,3,7,6,1,8,2] => 0101101 => 1011010 => 0100101
[4,5,1,7,3,8,6,2] => 0101011 => 1101010 => 0010101
[2,5,7,1,4,3,8,6] => 0010101 => 1010100 => 0101011
[4,3,5,7,6,1,8,2] => 1001101 => 1011001 => 0100110
[4,3,6,1,7,5,2,8] => 1010110 => 0110101 => 1001010
[4,3,2,6,1,7,5,8] => 1101010 => 0101011 => 1010100
[5,3,2,1,6,4,7,8] => 1110100 => 0010111 => 1101000
[5,3,1,6,2,7,4,8] => 1101010 => 0101011 => 1010100
[5,1,6,3,2,7,4,8] => 1011010 => 0101101 => 1010010
[2,6,1,4,7,5,3,8] => 0100110 => 0110010 => 1001101
[3,6,1,7,4,2,5,8] => 0101100 => 0011010 => 1100101
[4,6,1,7,5,3,2,8] => 0101110 => 0111010 => 1000101
[5,1,6,3,7,4,2,8] => 1010110 => 0110101 => 1001010
[5,3,6,4,2,1,7,8] => 1011100 => 0011101 => 1100010
[5,3,2,6,4,1,7,8] => 1101100 => 0011011 => 1100100
[5,2,1,6,3,7,4,8] => 1101010 => 0101011 => 1010100
[5,2,6,3,1,7,4,8] => 1011010 => 0101101 => 1010010
[4,2,6,3,1,7,8,5] => 1011001 => 1001101 => 0110010
[3,6,2,1,7,4,5,8] => 0110100 => 0010110 => 1101001
[3,6,2,7,4,1,5,8] => 0101100 => 0011010 => 1100101
[3,5,7,2,8,6,4,1] => 0010111 => 1110100 => 0001011
[2,4,7,1,3,6,5,8] => 0010010 => 0100100 => 1011011
[2,6,1,3,7,5,4,8] => 0100110 => 0110010 => 1001101
[3,6,1,7,5,2,4,8] => 0101100 => 0011010 => 1100101
[5,1,6,2,7,4,3,8] => 1010110 => 0110101 => 1001010
[5,2,6,4,3,1,7,8] => 1011100 => 0011101 => 1100010
[5,2,1,6,4,3,7,8] => 1101100 => 0011011 => 1100100
[5,4,2,1,6,3,7,8] => 1110100 => 0010111 => 1101000
[5,4,2,6,3,1,7,8] => 1101100 => 0011011 => 1100100
[5,4,1,6,2,7,3,8] => 1101010 => 0101011 => 1010100
[5,1,6,4,2,7,3,8] => 1011010 => 0101101 => 1010010
[3,6,1,7,5,4,8,2] => 0101101 => 1011010 => 0100101
[2,6,1,5,4,3,7,8] => 0101100 => 0011010 => 1100101
[3,1,6,2,5,4,7,8] => 1010100 => 0010101 => 1101010
[5,1,6,4,3,2,7,8] => 1011100 => 0011101 => 1100010
[5,4,1,6,3,2,7,8] => 1101100 => 0011011 => 1100100
[5,4,3,1,6,2,7,8] => 1110100 => 0010111 => 1101000
[8,2,1,7,6,5,4,3,9] => 11011110 => 01111011 => 10000100
[7,3,1,6,5,4,8,2] => 1101101 => 1011011 => 0100100
[7,2,8,1,5,4,3,6] => 1010110 => 0110101 => 1001010
[4,2,7,6,5,8,1,3] => 1011010 => 0101101 => 1010010
[3,8,2,6,5,4,1,7] => 0101110 => 0111010 => 1000101
[3,2,8,7,6,5,4,1,9] => 10111110 => 01111101 => 10000010
[10,1,11,9,8,7,6,5,4,3,2] => 1011111111 => 1111111101 => 0000000010
[9,2,1,8,7,6,5,4,3,10] => 110111110 => 011111011 => 100000100
[8,3,1,7,6,5,4,9,2] => 11011101 => 10111011 => 01000100
[8,2,9,1,6,5,4,3,7] => 10101110 => 01110101 => 10001010
[7,3,2,1,5,4,6,8] => 1110100 => 0010111 => 1101000
[7,2,8,6,1,4,3,5] => 1011010 => 0101101 => 1010010
[5,2,7,6,8,4,1,3] => 1010110 => 0110101 => 1001010
[4,2,8,7,6,5,9,1,3] => 10111010 => 01011101 => 10100010
[3,8,7,2,5,4,1,6] => 0110110 => 0110110 => 1001001
[3,9,2,7,6,5,4,1,8] => 01011110 => 01111010 => 10000101
[3,2,9,8,7,6,5,4,1,10] => 101111110 => 011111101 => 100000010
[2,11,10,9,8,7,6,5,4,1,3] => 0111111110 => 0111111110 => 1000000001
[11,1,12,10,9,8,7,6,5,4,3,2] => 10111111111 => 11111111101 => 00000000010
[10,2,1,9,8,7,6,5,4,3,11] => 1101111110 => 0111111011 => 1000000100
[9,3,1,8,7,6,5,4,10,2] => 110111101 => 101111011 => 010000100
[9,2,10,1,7,6,5,4,3,8] => 101011110 => 011110101 => 100001010
[8,4,1,7,6,5,9,3,2] => 11011011 => 11011011 => 00100100
[8,3,2,1,6,5,4,7,9] => 11101100 => 00110111 => 11001000
[8,2,9,7,1,5,4,3,6] => 10110110 => 01101101 => 10010010
[7,5,1,6,8,4,3,2] => 1100111 => 1110011 => 0001100
[7,4,2,1,5,6,3,8] => 1110010 => 0100111 => 1011000
[7,2,8,6,5,1,3,4] => 1011100 => 0011101 => 1100010
[5,3,2,6,7,4,1,8] => 1100110 => 0110011 => 1001100
[5,2,8,7,6,9,4,1,3] => 10110110 => 01101101 => 10010010
[4,3,7,2,5,6,1,8] => 1010010 => 0100101 => 1011010
[4,3,2,7,6,5,8,1,9] => 11011010 => 01011011 => 10100100
[4,2,9,8,7,6,5,10,1,3] => 101111010 => 010111101 => 101000010
[3,9,8,2,6,5,4,1,7] => 01101110 => 01110110 => 10001001
[3,10,2,8,7,6,5,4,1,9] => 010111110 => 011111010 => 100000101
[3,2,10,9,8,7,6,5,4,1,11] => 1011111110 => 0111111101 => 1000000010
[2,12,11,10,9,8,7,6,5,4,1,3] => 01111111110 => 01111111110 => 10000000001
[6,7,1,4,3,2,5,8] => 0101100 => 0011010 => 1100101
[3,4,2,6,7,1,5,8] => 0100100 => 0010010 => 1101101
[3,7,1,6,5,2,4,8] => 0101100 => 0011010 => 1100101
[3,5,6,2,4,7,1,8] => 0010010 => 0100100 => 1011011
[3,5,8,7,2,4,6,1] => 0011001 => 1001100 => 0110011
[1,7,8,2,5,4,3,6] => 0010110 => 0110100 => 1001011
[8,7,2,5,4,3,6,1] => 1101101 => 1011011 => 0100100
[2,5,6,4,7,1,3,8] => 0010100 => 0010100 => 1101011
[4,7,1,6,3,5,2,8] => 0101010 => 0101010 => 1010101
[4,5,3,8,7,2,6,1] => 0101101 => 1011010 => 0100101
[1,4,5,3,7,8,2,6] => 0010010 => 0100100 => 1011011
[1,4,8,2,7,6,3,5] => 0010110 => 0110100 => 1001011
[4,7,3,5,1,8,6,2] => 0101011 => 1101010 => 0010101
[8,7,3,6,1,5,4,2] => 1101011 => 1101011 => 0010100
[2,5,8,7,4,6,1,3] => 0011010 => 0101100 => 1010011
[5,4,2,1,7,8,3,6] => 1110010 => 0100111 => 1011000
[4,7,8,3,5,2,1,6] => 0010110 => 0110100 => 1001011
[4,7,6,2,1,8,3,5] => 0111010 => 0101110 => 1010001
[1,4,6,7,3,5,8,2] => 0001001 => 1001000 => 0110111
[8,3,6,2,1,7,5,4] => 1011011 => 1101101 => 0010010
[8,3,7,6,4,2,1,5] => 1011110 => 0111101 => 1000010
[2,3,1,8,4,7,6,5] => 0101011 => 1101010 => 0010101
[2,7,4,8,6,5,1,3] => 0101110 => 0111010 => 1000101
[8,6,5,1,4,7,3,2] => 1110011 => 1100111 => 0011000
[8,5,4,1,7,3,6,2] => 1110101 => 1010111 => 0101000
[6,3,7,2,8,5,4,1] => 1010111 => 1110101 => 0001010
[1,6,3,8,2,7,5,4] => 0101011 => 1101010 => 0010101
[1,7,5,3,8,2,6,4] => 0110101 => 1010110 => 0101001
[6,2,7,4,1,8,5,3] => 1011011 => 1101101 => 0010010
[8,6,3,2,7,5,1,4] => 1110110 => 0110111 => 1001000
[2,7,5,1,3,8,6,4] => 0110011 => 1100110 => 0011001
[1,7,6,4,3,8,2,5] => 0111010 => 0101110 => 1010001
[3,7,2,4,8,6,5,1] => 0100111 => 1110010 => 0001101
[3,4,2,8,7,6,1,5] => 0101110 => 0111010 => 1000101
[5,1,4,3,2,7,8,6] => 1011001 => 1001101 => 0110010
[3,7,8,5,2,4,1,6] => 0011010 => 0101100 => 1010011
[3,7,6,2,4,1,8,5] => 0110101 => 1010110 => 0101001
[1,6,8,2,5,7,4,3] => 0010011 => 1100100 => 0011011
[6,7,2,5,8,4,3,1] => 0100111 => 1110010 => 0001101
[5,2,7,8,4,3,1,6] => 1001110 => 0111001 => 1000110
[5,3,1,7,8,4,2,6] => 1100110 => 0110011 => 1001100
[2,7,6,4,1,3,8,5] => 0111001 => 1001110 => 0110001
[4,1,7,6,3,2,8,5] => 1011101 => 1011101 => 0100010
[8,4,2,7,6,3,1,5] => 1101110 => 0111011 => 1000100
[6,3,1,7,5,2,8,4] => 1101101 => 1011011 => 0100100
[6,2,7,5,3,1,8,4] => 1011101 => 1011101 => 0100010
[1,5,8,2,7,4,6,3] => 0010101 => 1010100 => 0101011
[5,7,2,8,4,6,3,1] => 0101011 => 1101010 => 0010101
[5,7,3,1,8,4,6,2] => 0110101 => 1010110 => 0101001
[8,4,7,3,1,6,5,2] => 1011011 => 1101101 => 0010010
[2,6,8,5,7,4,1,3] => 0010110 => 0110100 => 1001011
[6,5,2,1,7,4,8,3] => 1110101 => 1010111 => 0101000
[5,7,4,6,2,1,8,3] => 0101101 => 1011010 => 0100101
[5,6,4,8,3,7,2,1] => 0101011 => 1101010 => 0010101
[6,7,1,8,3,4,2,5] => 0101010 => 0101010 => 1010101
[7,8,3,5,1,4,2,6] => 0101010 => 0101010 => 1010101
[5,6,2,7,1,8,3,4] => 0101010 => 0101010 => 1010101
[6,7,2,4,3,8,1,5] => 0101010 => 0101010 => 1010101
[2,4,3,8,6,7,1,5] => 0101010 => 0101010 => 1010101
[1,8,2,7,4,5,3,6] => 0101010 => 0101010 => 1010101
[2,5,4,8,3,6,1,7] => 0101010 => 0101010 => 1010101
[2,3,1,8,5,6,4,7] => 0101010 => 0101010 => 1010101
[3,8,5,6,4,7,1,2] => 0101010 => 0101010 => 1010101
[5,7,3,6,4,8,1,2] => 0101010 => 0101010 => 1010101
[5,7,2,3,1,6,4,8] => 0101010 => 0101010 => 1010101
[5,7,2,4,3,6,1,8] => 0101010 => 0101010 => 1010101
[4,6,2,7,1,5,3,8] => 0101010 => 0101010 => 1010101
[4,7,1,6,2,5,3,8] => 0101010 => 0101010 => 1010101
[4,7,1,5,3,6,2,8] => 0101010 => 0101010 => 1010101
[4,6,3,5,1,7,2,8] => 0101010 => 0101010 => 1010101
[6,7,3,5,1,4,2,8] => 0101010 => 0101010 => 1010101
[5,6,3,7,1,4,2,8] => 0101010 => 0101010 => 1010101
[5,7,1,6,3,4,2,8] => 0101010 => 0101010 => 1010101
[1,8,5,6,3,4,2,7] => 0101010 => 0101010 => 1010101
[1,8,5,6,4,7,2,3] => 0101010 => 0101010 => 1010101
[5,7,1,6,4,8,2,3] => 0101010 => 0101010 => 1010101
[4,6,5,8,1,7,2,3] => 0101010 => 0101010 => 1010101
[3,7,1,4,2,8,5,6] => 0101010 => 0101010 => 1010101
[3,5,1,4,2,8,6,7] => 0101010 => 0101010 => 1010101
[4,6,5,8,3,7,1,2] => 0101010 => 0101010 => 1010101
[4,6,5,8,2,3,1,7] => 0101010 => 0101010 => 1010101
[3,4,2,6,5,8,1,7] => 0101010 => 0101010 => 1010101
[3,5,4,6,2,8,1,7] => 0101010 => 0101010 => 1010101
[1,8,3,5,4,7,2,6] => 0101010 => 0101010 => 1010101
[3,4,2,7,1,8,5,6] => 0101010 => 0101010 => 1010101
[4,7,2,3,1,8,5,6] => 0101010 => 0101010 => 1010101
[2,4,3,8,1,7,5,6] => 0101010 => 0101010 => 1010101
[2,5,3,8,4,7,1,6] => 0101010 => 0101010 => 1010101
[2,6,3,8,1,7,4,5] => 0101010 => 0101010 => 1010101
[2,7,1,8,3,6,4,5] => 0101010 => 0101010 => 1010101
[1,2,8,7,4,6,3,5] => 0011010 => 0101100 => 1010011
[4,5,1,8,7,6,2,3] => 0101110 => 0111010 => 1000101
[4,1,5,8,7,6,2,3] => 1001110 => 0111001 => 1000110
[4,5,7,8,2,6,3,1] => 0001011 => 1101000 => 0010111
[5,2,6,8,3,7,4,1] => 1001011 => 1101001 => 0010110
[3,1,6,8,7,4,5,2] => 1001101 => 1011001 => 0100110
[6,1,4,8,7,2,5,3] => 1001101 => 1011001 => 0100110
[6,1,8,4,7,3,5,2] => 1010101 => 1010101 => 0101010
[4,6,7,8,2,5,3,1] => 0001011 => 1101000 => 0010111
[7,4,5,2,8,6,3,1] => 1010111 => 1110101 => 0001010
[7,5,8,4,2,6,3,1] => 1011011 => 1101101 => 0010010
[6,8,4,5,2,7,3,1] => 0101011 => 1101010 => 0010101
[6,8,2,5,3,7,4,1] => 0101011 => 1101010 => 0010101
[6,3,8,4,2,7,5,1] => 1011011 => 1101101 => 0010010
[7,2,5,3,8,6,4,1] => 1010111 => 1110101 => 0001010
[3,4,7,5,8,6,2,1] => 0010111 => 1110100 => 0001011
[3,6,7,4,8,5,2,1] => 0010111 => 1110100 => 0001011
[6,7,4,2,8,5,3,1] => 0110111 => 1110110 => 0001001
[4,7,5,2,8,6,3,1] => 0110111 => 1110110 => 0001001
[2,7,5,3,8,6,4,1] => 0110111 => 1110110 => 0001001
[5,6,2,8,3,7,4,1] => 0101011 => 1101010 => 0010101
[1,5,8,2,7,3,6,4] => 0010101 => 1010100 => 0101011
[5,8,4,7,2,3,6,1] => 0101001 => 1001010 => 0110101
[6,7,4,8,1,5,3,2] => 0101011 => 1101010 => 0010101
[1,7,4,8,6,2,5,3] => 0101101 => 1011010 => 0100101
[6,8,5,3,7,2,4,1] => 0110101 => 1010110 => 0101001
[6,8,5,2,3,7,4,1] => 0110011 => 1100110 => 0011001
[7,5,3,8,2,6,4,1] => 1101011 => 1101011 => 0010100
[7,5,2,3,8,6,4,1] => 1100111 => 1110011 => 0001100
[3,7,4,5,8,6,2,1] => 0100111 => 1110010 => 0001101
[6,7,3,4,8,5,2,1] => 0100111 => 1110010 => 0001101
[3,6,4,7,8,5,2,1] => 0100111 => 1110010 => 0001101
[6,4,2,7,8,5,3,1] => 1100111 => 1110011 => 0001100
[7,4,2,5,8,6,3,1] => 1100111 => 1110011 => 0001100
[6,8,4,2,5,7,3,1] => 0110011 => 1100110 => 0011001
[7,5,8,3,4,6,2,1] => 1010011 => 1100101 => 0011010
[7,4,5,8,1,6,3,2] => 1001011 => 1101001 => 0010110
[6,3,4,7,8,5,2,1] => 1000111 => 1110001 => 0001110
[7,8,2,3,4,5,6,9,1] => 01000001 => 10000010 => 01111101
[6,1,7,3,4,5,8,2] => 1010001 => 1000101 => 0111010
[5,7,2,3,4,1,8,6] => 0100101 => 1010010 => 0101101
[2,7,1,8,4,5,6,3] => 0101001 => 1001010 => 0110101
[2,6,8,3,4,5,1,7] => 0010010 => 0100100 => 1011011
[2,8,9,3,4,5,6,7,1] => 00100001 => 10000100 => 01111011
[8,9,2,3,4,5,6,7,10,1] => 010000001 => 100000010 => 011111101
[7,1,8,3,4,5,6,9,2] => 10100001 => 10000101 => 01111010
[6,8,2,3,4,5,1,9,7] => 01000101 => 10100010 => 01011101
[6,1,2,7,4,5,8,3] => 1001001 => 1001001 => 0110110
[4,7,2,3,1,5,8,6] => 0101001 => 1001010 => 0110101
[2,7,1,3,8,5,6,4] => 0100101 => 1010010 => 0101101
[2,6,7,8,4,5,3,1] => 0001011 => 1101000 => 0010111
[2,8,1,9,4,5,6,7,3] => 01010001 => 10001010 => 01110101
[2,5,8,3,4,1,6,7] => 0010100 => 0010100 => 1101011
[2,7,9,3,4,5,6,1,8] => 00100010 => 01000100 => 10111011
[2,9,10,3,4,5,6,7,8,1] => 001000001 => 100000100 => 011111011
[11,1,2,3,4,5,6,7,8,9,12,10] => 10000000001 => 10000000001 => 01111111110
[9,10,2,3,4,5,6,7,8,11,1] => 0100000001 => 1000000010 => 0111111101
[8,1,9,3,4,5,6,7,10,2] => 101000001 => 100000101 => 011111010
[7,9,2,3,4,5,6,1,10,8] => 010000101 => 101000010 => 010111101
[7,1,2,8,4,5,6,9,3] => 10010001 => 10001001 => 01110110
[6,7,8,3,4,5,2,9,1] => 00100101 => 10100100 => 01011011
[5,8,2,3,4,1,6,9,7] => 01001001 => 10010010 => 01101101
[5,6,2,7,4,3,8,1] => 0101101 => 1011010 => 0100101
[4,6,7,3,2,5,8,1] => 0011001 => 1001100 => 0110011
[2,6,7,3,8,5,4,1] => 0010111 => 1110100 => 0001011
[2,8,1,3,9,5,6,7,4] => 01001001 => 10010010 => 01101101
[2,6,1,8,4,5,3,7] => 0101010 => 0101010 => 1010101
[2,5,7,8,4,3,6,1] => 0001101 => 1011000 => 0100111
[2,7,8,9,4,5,6,3,1] => 00010011 => 11001000 => 00110111
[2,9,1,10,4,5,6,7,8,3] => 010100001 => 100001010 => 011110101
[2,6,9,3,4,5,1,7,8] => 00100100 => 00100100 => 11011011
[2,8,10,3,4,5,6,7,1,9] => 001000010 => 010000100 => 101111011
[2,10,11,3,4,5,6,7,8,9,1] => 0010000001 => 1000000100 => 0111111011
[2,12,1,3,4,5,6,7,8,9,10,11] => 01000000000 => 00000000010 => 11111111101
[3,6,8,4,5,7,1,2] => 0010010 => 0100100 => 1011011
[1,6,8,4,7,2,3,5] => 0010100 => 0010100 => 1101011
[1,4,5,7,8,2,6,3] => 0000101 => 1010000 => 0101111
[3,4,5,7,8,6,1,2] => 0000110 => 0110000 => 1001111
[3,4,5,7,6,8,1,2] => 0001010 => 0101000 => 1010111
[3,6,7,4,8,5,1,2] => 0010110 => 0110100 => 1001011
[3,4,5,6,8,7,1,2] => 0000110 => 0110000 => 1001111
[1,4,5,8,7,2,3,6] => 0001100 => 0011000 => 1100111
[1,2,5,8,3,6,4,7] => 0001010 => 0101000 => 1010111
[1,4,5,8,6,2,3,7] => 0001100 => 0011000 => 1100111
[7,8,1,4,6,2,3,5] => 0100100 => 0010010 => 1101101
[1,6,7,4,8,2,5,3] => 0010101 => 1010100 => 0101011
[1,4,5,6,8,2,7,3] => 0000101 => 1010000 => 0101111
[1,4,5,8,6,2,7,3] => 0001101 => 1011000 => 0100111
[1,2,5,8,3,4,7,6] => 0001001 => 1001000 => 0110111
[1,6,7,2,3,5,8,4] => 0010001 => 1000100 => 0111011
[7,8,1,2,3,5,4,6] => 0100010 => 0100010 => 1011101
[1,6,7,2,3,5,4,8] => 0010010 => 0100100 => 1011011
[1,4,5,7,6,2,3,8] => 0001100 => 0011000 => 1100111
[1,2,5,7,3,6,4,8] => 0001010 => 0101000 => 1010111
[1,2,5,7,3,6,8,4] => 0001001 => 1001000 => 0110111
[1,6,8,2,3,5,7,4] => 0010001 => 1000100 => 0111011
[1,6,8,4,5,2,3,7] => 0010100 => 0010100 => 1101011
[1,6,8,4,5,2,7,3] => 0010101 => 1010100 => 0101011
[1,6,8,2,3,4,7,5] => 0010001 => 1000100 => 0111011
[1,6,8,2,3,7,4,5] => 0010010 => 0100100 => 1011011
[1,4,5,7,6,2,8,3] => 0001101 => 1011000 => 0100111
[7,8,1,4,5,2,6,3] => 0100101 => 1010010 => 0101101
[7,8,1,2,3,4,6,5] => 0100001 => 1000010 => 0111101
[7,8,1,2,3,6,4,5] => 0100010 => 0100010 => 1011101
[1,6,7,2,3,8,5,4] => 0010011 => 1100100 => 0011011
[1,2,5,6,3,8,7,4] => 0001011 => 1101000 => 0010111
[4,2,1,6,5,3,8,7] => 1101101 => 1011011 => 0100100
[8,2,4,3,1,6,5,7] => 1011010 => 0101101 => 1010010
[6,2,4,3,1,8,7,5] => 1011011 => 1101101 => 0010010
[4,2,6,3,5,1,8,7] => 1010101 => 1010101 => 0101010
[4,6,2,1,5,8,7,3] => 0110011 => 1100110 => 0011001
[4,6,5,2,1,8,7,3] => 0111011 => 1101110 => 0010001
[2,1,6,4,3,8,7,5] => 1011011 => 1101101 => 0010010
[4,8,2,1,6,7,3,5] => 0110010 => 0100110 => 1011001
[6,8,2,1,4,3,7,5] => 0110101 => 1010110 => 0101001
[8,6,2,4,3,1,5,7] => 1101100 => 0011011 => 1100100
[6,8,2,4,3,1,7,5] => 0101101 => 1011010 => 0100101
[6,8,7,2,4,3,1,5] => 0110110 => 0110110 => 1001001
[2,1,8,4,6,5,3,7] => 1010110 => 0110101 => 1001010
[2,1,6,4,8,5,7,3] => 1010101 => 1010101 => 0101010
[4,6,5,2,8,3,7,1] => 0110101 => 1010110 => 0101001
[2,6,4,5,8,3,7,1] => 0100101 => 1010010 => 0101101
[6,4,2,8,3,5,7,1] => 1101001 => 1001011 => 0110100
[8,4,2,6,3,5,1,7] => 1101010 => 0101011 => 1010100
[6,2,4,8,5,3,7,1] => 1001101 => 1011001 => 0100110
[4,2,6,3,5,8,7,1] => 1010011 => 1100101 => 0011010
[4,2,6,3,8,7,5,1] => 1010111 => 1110101 => 0001010
[6,2,4,3,8,5,7,1] => 1010101 => 1010101 => 0101010
[8,2,4,3,6,5,1,7] => 1010110 => 0110101 => 1001010
[8,2,1,4,6,5,3,7] => 1100110 => 0110011 => 1001100
[6,2,1,4,8,5,7,3] => 1100101 => 1010011 => 0101100
[6,2,1,8,7,4,3,5] => 1101110 => 0111011 => 1000100
[6,2,1,8,4,3,7,5] => 1101101 => 1011011 => 0100100
[8,4,6,5,2,1,3,7] => 1011100 => 0011101 => 1100010
[6,4,8,5,2,1,7,3] => 1011101 => 1011101 => 0100010
[6,4,8,5,7,2,1,3] => 1010110 => 0110101 => 1001010
[4,6,8,7,5,2,1,3] => 0011110 => 0111100 => 1000011
[2,1,4,8,6,7,3,5] => 1001010 => 0101001 => 1010110
[2,6,8,7,4,5,1,3] => 0011010 => 0101100 => 1010011
[2,4,8,6,7,5,1,3] => 0010110 => 0110100 => 1001011
[4,2,8,6,5,7,1,3] => 1011010 => 0101101 => 1010010
[8,2,6,4,5,1,3,7] => 1010100 => 0010101 => 1101010
[8,4,6,2,1,5,3,7] => 1011010 => 0101101 => 1010010
[4,6,8,7,2,1,5,3] => 0011101 => 1011100 => 0100011
[4,6,5,8,2,1,7,3] => 0101101 => 1011010 => 0100101
[2,1,6,8,4,3,7,5] => 1001101 => 1011001 => 0100110
[6,8,7,4,2,1,3,5] => 0111100 => 0011110 => 1100001
[2,8,6,4,7,1,3,5] => 0110100 => 0010110 => 1101001
[4,8,6,2,1,7,3,5] => 0111010 => 0101110 => 1010001
[2,8,5,3,1,4,6,7] => 0111000 => 0001110 => 1110001
[2,7,4,8,3,5,1,6] => 0101010 => 0101010 => 1010101
[2,7,4,8,3,5,6,1] => 0101001 => 1001010 => 0110101
[7,2,8,4,3,5,1,6] => 1011010 => 0101101 => 1010010
[8,4,2,1,5,3,6,7] => 1110100 => 0010111 => 1101000
[8,5,1,4,2,3,6,7] => 1101000 => 0001011 => 1110100
[8,4,1,5,3,2,6,7] => 1101100 => 0011011 => 1100100
[6,7,3,8,4,2,5,1] => 0101101 => 1011010 => 0100101
[6,7,3,8,4,2,1,5] => 0101110 => 0111010 => 1000101
[7,1,8,4,3,5,2,6] => 1011010 => 0101101 => 1010010
[1,7,8,4,3,5,2,6] => 0011010 => 0101100 => 1010011
[7,1,4,8,3,5,2,6] => 1001010 => 0101001 => 1010110
[7,4,8,1,5,6,2,3] => 1010010 => 0100101 => 1011010
[7,1,8,4,3,5,6,2] => 1011001 => 1001101 => 0110010
[6,7,3,1,8,4,5,2] => 0110101 => 1010110 => 0101001
[6,7,3,8,4,5,2,1] => 0101011 => 1101010 => 0010101
[6,7,1,4,8,3,5,2] => 0100101 => 1010010 => 0101101
[6,7,4,1,3,8,2,5] => 0110010 => 0100110 => 1011001
[1,6,7,8,4,3,2,5] => 0001110 => 0111000 => 1000111
[7,2,1,8,4,5,3,6] => 1101010 => 0101011 => 1010100
[6,2,7,1,8,4,3,5] => 1010110 => 0110101 => 1001010
[6,2,7,8,4,3,1,5] => 1001110 => 0111001 => 1000110
[6,2,7,8,4,3,5,1] => 1001101 => 1011001 => 0100110
[2,6,7,4,8,3,5,1] => 0010101 => 1010100 => 0101011
[2,6,7,4,8,3,1,5] => 0010110 => 0110100 => 1001011
[7,8,1,3,6,2,4,5] => 0100100 => 0010010 => 1101101
[1,2,7,8,6,3,4,5] => 0001100 => 0011000 => 1100111
[2,6,7,1,8,5,3,4] => 0010110 => 0110100 => 1001011
[2,6,7,8,5,3,1,4] => 0001110 => 0111000 => 1000111
[2,6,7,8,5,3,4,1] => 0001101 => 1011000 => 0100111
[6,2,7,8,4,5,3,1] => 1001011 => 1101001 => 0010110
[7,2,1,8,4,5,6,3] => 1101001 => 1001011 => 0110100
[1,7,2,8,4,5,6,3] => 0101001 => 1001010 => 0110101
[3,7,8,1,5,6,2,4] => 0010010 => 0100100 => 1011011
[6,3,7,8,1,5,2,4] => 1001010 => 0101001 => 1010110
[6,7,1,2,8,5,3,4] => 0100110 => 0110010 => 1001101
[1,6,7,8,4,2,5,3] => 0001101 => 1011000 => 0100111
[3,1,2,7,6,5,8,4] => 1001101 => 1011001 => 0100110
[6,1,2,4,7,3,8,5] => 1000101 => 1010001 => 0101110
[1,7,5,3,6,4,8,2] => 0110101 => 1010110 => 0101001
[5,1,2,6,7,4,8,3] => 1000101 => 1010001 => 0101110
[4,1,5,7,3,2,6,8] => 1001100 => 0011001 => 1100110
[4,6,1,7,3,2,5,8] => 0101100 => 0011010 => 1100101
[4,6,1,8,3,2,5,7] => 0101100 => 0011010 => 1100101
[4,7,1,8,3,5,2,6] => 0101010 => 0101010 => 1010101
[4,1,7,8,6,2,3,5] => 1001100 => 0011001 => 1100110
[1,6,5,7,8,3,4,2] => 0100101 => 1010010 => 0101101
[1,6,5,8,7,3,4,2] => 0101101 => 1011010 => 0100101
[4,1,8,7,6,2,3,5] => 1011100 => 0011101 => 1100010
[4,8,1,7,3,5,2,6] => 0101010 => 0101010 => 1010101
[4,8,1,6,3,2,5,7] => 0101100 => 0011010 => 1100101
[4,7,1,6,3,2,5,8] => 0101100 => 0011010 => 1100101
[6,1,2,3,7,5,4,8] => 1000110 => 0110001 => 1001110
[6,8,1,5,3,7,2,4] => 0101010 => 0101010 => 1010101
[8,7,5,2,4,1,6,3] => 1110101 => 1010111 => 0101000
[1,5,7,3,4,8,6,2] => 0010011 => 1100100 => 0011011
[1,5,8,3,4,7,6,2] => 0010011 => 1100100 => 0011011
[7,8,5,2,4,1,6,3] => 0110101 => 1010110 => 0101001
[7,1,2,3,5,6,4,8] => 1000010 => 0100001 => 1011110
[8,1,2,3,5,6,4,7] => 1000010 => 0100001 => 1011110
[8,1,2,3,5,4,7,6] => 1000101 => 1010001 => 0101110
[7,1,8,4,6,3,2,5] => 1010110 => 0110101 => 1001010
[6,8,2,4,3,1,5,7] => 0101100 => 0011010 => 1100101
[6,7,2,4,3,1,5,8] => 0101100 => 0011010 => 1100101
[3,8,1,2,4,5,7,6] => 0100001 => 1000010 => 0111101
[3,7,1,8,6,4,2,5] => 0101110 => 0111010 => 1000101
[1,6,4,3,7,5,8,2] => 0110101 => 1010110 => 0101001
[3,1,2,6,7,5,8,4] => 1000101 => 1010001 => 0101110
[3,8,1,7,6,4,2,5] => 0101110 => 0111010 => 1000101
[7,6,2,4,3,1,5,8] => 1101100 => 0011011 => 1100100
[8,7,2,4,3,5,1,6] => 1101010 => 0101011 => 1010100
[8,1,7,4,6,3,2,5] => 1010110 => 0110101 => 1001010
[8,1,7,6,5,3,2,4] => 1011110 => 0111101 => 1000010
[1,5,7,3,4,6,8,2] => 0010001 => 1000100 => 0111011
[8,7,2,5,3,6,1,4] => 1101010 => 0101011 => 1010100
[7,1,2,3,5,4,8,6] => 1000101 => 1010001 => 0101110
[6,1,2,3,5,8,4,7] => 1000010 => 0100001 => 1011110
[6,1,2,3,5,7,4,8] => 1000010 => 0100001 => 1011110
[5,1,2,3,7,6,4,8] => 1000110 => 0110001 => 1001110
[5,1,2,3,8,6,4,7] => 1000110 => 0110001 => 1001110
[1,5,6,3,4,7,8,2] => 0010001 => 1000100 => 0111011
[8,6,5,2,4,7,1,3] => 1110010 => 0100111 => 1011000
[7,6,2,5,3,1,8,4] => 1101101 => 1011011 => 0100100
[7,4,5,2,3,8,6,1] => 1010011 => 1100101 => 0011010
[8,2,3,7,4,5,1,6] => 1001010 => 0101001 => 1010110
[8,4,7,3,2,5,1,6] => 1011010 => 0101101 => 1010010
[5,4,6,3,1,2,8,7] => 1011001 => 1001101 => 0110010
[4,6,2,3,1,5,8,7] => 0101001 => 1001010 => 0110101
[7,2,3,4,5,8,6,1] => 1000011 => 1100001 => 0011110
[8,2,3,4,5,7,1,6] => 1000010 => 0100001 => 1011110
[7,3,4,6,8,5,1,2] => 1000110 => 0110001 => 1001110
[4,7,3,2,8,6,1,5] => 0110110 => 0110110 => 1001001
[3,7,4,5,1,8,6,2] => 0101011 => 1101010 => 0010101
[3,8,2,6,7,4,5,1] => 0100101 => 1010010 => 0101101
[4,8,1,5,6,7,3,2] => 0100011 => 1100010 => 0011101
[5,8,2,4,6,7,1,3] => 0100010 => 0100010 => 1011101
[6,8,1,3,4,2,7,5] => 0100101 => 1010010 => 0101101
[5,8,2,4,3,1,7,6] => 0101101 => 1011010 => 0100101
[2,1,7,6,8,5,3,4] => 1010110 => 0110101 => 1001010
[3,7,6,1,8,5,2,4] => 0110110 => 0110110 => 1001001
[4,7,2,3,8,5,1,6] => 0100110 => 0110010 => 1001101
[7,1,3,6,4,8,5,2] => 1001011 => 1101001 => 0010110
[7,6,1,4,8,5,2,3] => 1100110 => 0110011 => 1001100
[6,2,3,7,8,5,4,1] => 1000111 => 1110001 => 0001110
[6,2,3,8,4,5,1,7] => 1001010 => 0101001 => 1010110
[7,2,3,6,8,4,1,5] => 1000110 => 0110001 => 1001110
[8,2,3,5,7,1,4,6] => 1000100 => 0010001 => 1101110
[6,4,8,3,5,1,7,2] => 1010101 => 1010101 => 0101010
[5,4,8,3,6,7,1,2] => 1010010 => 0100101 => 1011010
[3,5,1,8,4,6,7,2] => 0101001 => 1001010 => 0110101
[3,6,1,8,4,5,2,7] => 0101010 => 0101010 => 1010101
[4,6,8,3,5,2,7,1] => 0010101 => 1010100 => 0101011
[5,7,8,3,2,4,1,6] => 0011010 => 0101100 => 1010011
[4,8,2,3,5,6,1,7] => 0100010 => 0100010 => 1011101
[6,8,2,3,1,4,5,7] => 0101000 => 0001010 => 1110101
[5,2,7,4,8,3,1,6] => 1010110 => 0110101 => 1001010
[3,7,8,2,1,4,6,5] => 0011001 => 1001100 => 0110011
[3,7,5,2,8,4,1,6] => 0110110 => 0110110 => 1001001
[6,3,2,4,1,8,7,5] => 1101011 => 1101011 => 0010100
[7,2,3,4,8,5,1,6] => 1000110 => 0110001 => 1001110
[5,7,3,1,4,2,6,8] => 0110100 => 0010110 => 1101001
[3,7,4,1,8,2,5,6] => 0110100 => 0010110 => 1101001
[6,3,7,4,8,1,2,5] => 1010100 => 0010101 => 1101010
[8,3,7,4,2,6,1,5] => 1011010 => 0101101 => 1010010
[3,7,4,1,5,6,2,8] => 0110010 => 0100110 => 1011001
[1,8,3,2,4,5,7,6] => 0110001 => 1000110 => 0111001
[8,4,1,6,3,7,5,2] => 1101011 => 1101011 => 0010100
[8,7,4,2,1,6,3,5] => 1111010 => 0101111 => 1010000
[8,3,5,2,7,4,1,6] => 1010110 => 0110101 => 1001010
[1,5,3,8,7,6,4,2] => 0101111 => 1111010 => 0000101
[7,2,4,8,1,3,6,5] => 1001001 => 1001001 => 0110110
[1,2,8,7,5,6,3,4] => 0011010 => 0101100 => 1010011
[3,1,8,6,7,5,2,4] => 1010110 => 0110101 => 1001010
[1,4,8,6,5,7,2,3] => 0011010 => 0101100 => 1010011
[1,6,5,4,8,2,3,7] => 0110100 => 0010110 => 1101001
[5,1,6,8,3,4,2,7] => 1001010 => 0101001 => 1010110
[6,2,5,1,7,4,3,8] => 1010110 => 0110101 => 1001010
[5,2,1,8,7,4,3,6] => 1101110 => 0111011 => 1000100
[5,2,6,3,8,1,4,7] => 1010100 => 0010101 => 1101010
[5,2,8,3,4,6,1,7] => 1010010 => 0100101 => 1011010
[6,2,8,4,3,1,7,5] => 1011101 => 1011101 => 0100010
[7,2,8,1,3,6,5,4] => 1010011 => 1100101 => 0011010
[7,3,8,1,4,6,2,5] => 1010010 => 0100101 => 1011010
[1,7,8,5,4,6,3,2] => 0011011 => 1101100 => 0010011
[1,5,8,4,6,3,7,2] => 0010101 => 1010100 => 0101011
[5,3,8,4,1,2,7,6] => 1011001 => 1001101 => 0110010
[5,8,4,3,6,2,1,7] => 0110110 => 0110110 => 1001001
[1,8,3,6,5,2,7,4] => 0101101 => 1011010 => 0100101
[1,8,2,4,7,6,5,3] => 0100111 => 1110010 => 0001101
[3,8,1,4,6,7,5,2] => 0100011 => 1100010 => 0011101
[3,8,2,5,1,7,6,4] => 0101011 => 1101010 => 0010101
[4,3,8,2,5,1,6,7] => 1010100 => 0010101 => 1101010
[8,2,4,3,5,1,7,6] => 1010101 => 1010101 => 0101010
[8,2,1,4,6,5,7,3] => 1100101 => 1010011 => 0101100
[8,1,3,4,5,7,6,2] => 1000011 => 1100001 => 0011110
[6,1,5,2,4,7,8,3] => 1010001 => 1000101 => 0111010
[4,1,8,5,2,7,6,3] => 1011011 => 1101101 => 0010010
[4,8,5,1,3,6,2,7] => 0110010 => 0100110 => 1011001
[3,6,1,5,7,2,8,4] => 0100101 => 1010010 => 0101101
[6,3,1,2,8,5,7,4] => 1100101 => 1010011 => 0101100
[4,1,8,2,3,7,5,6] => 1010010 => 0100101 => 1011010
[5,3,8,7,2,1,4,6] => 1011100 => 0011101 => 1100010
[6,7,3,5,1,4,8,2] => 0101001 => 1001010 => 0110101
[6,4,7,5,8,2,3,1] => 1010101 => 1010101 => 0101010
[5,7,8,4,2,6,3,1] => 0011011 => 1101100 => 0010011
[5,7,4,1,6,8,3,2] => 0110011 => 1100110 => 0011001
[5,8,4,6,1,7,3,2] => 0101011 => 1101010 => 0010101
[5,6,1,4,7,8,3,2] => 0100011 => 1100010 => 0011101
[5,6,3,7,4,8,2,1] => 0101011 => 1101010 => 0010101
[5,3,6,7,4,8,2,1] => 1001011 => 1101001 => 0010110
[5,3,2,8,6,7,4,1] => 1101011 => 1101011 => 0010100
[5,4,8,2,6,7,3,1] => 1010011 => 1100101 => 0011010
[5,4,8,6,2,7,3,1] => 1011011 => 1101101 => 0010010
[7,4,8,5,6,2,1,3] => 1010110 => 0110101 => 1001010
[5,6,3,8,4,7,2,1] => 0101011 => 1101010 => 0010101
[5,6,3,8,2,7,4,1] => 0101011 => 1101010 => 0010101
[4,3,7,2,8,6,5,1] => 1010111 => 1110101 => 0001010
[6,7,3,8,5,2,4,1] => 0101101 => 1011010 => 0100101
[6,2,7,5,1,4,8,3] => 1011001 => 1001101 => 0110010
[3,5,7,8,4,6,2,1] => 0001011 => 1101000 => 0010111
[5,3,7,8,4,6,2,1] => 1001011 => 1101001 => 0010110
[5,7,8,2,4,6,3,1] => 0010011 => 1100100 => 0011011
[2,5,8,4,3,7,6,1] => 0011011 => 1101100 => 0010011
[3,7,4,8,6,2,1,5] => 0101110 => 0111010 => 1000101
[3,6,4,8,7,2,5,1] => 0101101 => 1011010 => 0100101
[3,5,4,8,2,7,6,1] => 0101011 => 1101010 => 0010101
[4,5,7,3,8,6,2,1] => 0010111 => 1110100 => 0001011
[3,5,6,8,4,7,2,1] => 0001011 => 1101000 => 0010111
[6,3,1,8,7,5,4,2] => 1101111 => 1111011 => 0000100
[5,4,8,1,7,6,3,2] => 1010111 => 1110101 => 0001010
[5,8,4,1,7,6,3,2] => 0110111 => 1110110 => 0001001
[7,5,4,1,8,6,3,2] => 1110111 => 1110111 => 0001000
[8,5,4,1,7,6,3,2] => 1110111 => 1110111 => 0001000
[1,8,2,5,6,3,4,7] => 0100100 => 0010010 => 1101101
[7,2,8,4,5,1,3,6] => 1010100 => 0010101 => 1101010
[1,3,7,5,6,2,4,8] => 0010100 => 0010100 => 1101011
[1,6,7,4,3,5,2,8] => 0011010 => 0101100 => 1010011
[1,8,5,2,3,7,4,6] => 0110010 => 0100110 => 1011001
[1,8,2,5,3,6,7,4] => 0101001 => 1001010 => 0110101
[2,6,8,4,3,5,7,1] => 0011001 => 1001100 => 0110011
[7,5,8,3,2,1,6,4] => 1011101 => 1011101 => 0100010
[7,2,8,4,1,5,6,3] => 1011001 => 1001101 => 0110010
[7,5,8,1,2,6,3,4] => 1010010 => 0100101 => 1011010
[1,6,7,4,3,2,8,5] => 0011101 => 1011100 => 0100011
[1,5,2,6,4,7,8,3] => 0101001 => 1001010 => 0110101
[1,5,4,6,2,3,7,8] => 0101000 => 0001010 => 1110101
[6,2,5,7,1,4,8,3] => 1001001 => 1001001 => 0110110
[6,5,4,3,8,1,7,2] => 1110101 => 1010111 => 0101000
[7,3,6,8,5,2,4,1] => 1001101 => 1011001 => 0100110
[2,7,8,3,6,5,1,4] => 0010110 => 0110100 => 1001011
[2,7,8,5,4,6,3,1] => 0011011 => 1101100 => 0010011
[2,6,5,8,3,4,1,7] => 0101010 => 0101010 => 1010101
[2,6,5,7,3,4,1,8] => 0101010 => 0101010 => 1010101
[6,2,5,7,4,1,3,8] => 1001100 => 0011001 => 1100110
[6,2,5,8,4,1,3,7] => 1001100 => 0011001 => 1100110
[2,7,8,4,6,1,3,5] => 0010100 => 0010100 => 1101011
[6,1,2,8,3,7,4,5] => 1001010 => 0101001 => 1010110
[6,1,2,8,5,4,7,3] => 1001101 => 1011001 => 0100110
[6,2,5,7,8,1,3,4] => 1000100 => 0010001 => 1101110
[1,5,4,2,6,7,3,8] => 0110010 => 0100110 => 1011001
[2,6,5,7,3,8,1,4] => 0101010 => 0101010 => 1010101
[1,6,2,7,5,8,4,3] => 0101011 => 1101010 => 0010101
[1,3,2,7,8,5,6,4] => 0100101 => 1010010 => 0101101
[1,6,2,4,8,7,3,5] => 0100110 => 0110010 => 1001101
[6,5,2,1,8,7,3,4] => 1110110 => 0110111 => 1001000
[2,6,5,3,7,8,4,1] => 0110011 => 1100110 => 0011001
[6,2,5,3,8,4,7,1] => 1010101 => 1010101 => 0101010
[6,5,2,3,8,7,1,4] => 1100110 => 0110011 => 1001100
[5,4,1,2,3,8,6,7] => 1100010 => 0100011 => 1011100
[5,1,4,2,3,7,8,6] => 1010001 => 1000101 => 0111010
[1,5,4,2,6,3,8,7] => 0110101 => 1010110 => 0101001
[5,1,6,3,8,2,7,4] => 1010101 => 1010101 => 0101010
[9,8,7,6,5,4,3,1,2,10] => 111111100 => 001111111 => 110000000
[8,7,6,5,4,2,1,3,9] => 11111100 => 00111111 => 11000000
[1,9,8,7,6,5,3,2,4] => 01111110 => 01111110 => 10000001
[1,8,7,6,2,5,4,3] => 0111011 => 1101110 => 0010001
[1,9,8,7,6,5,2,4,3] => 01111101 => 10111110 => 01000001
[1,10,9,8,7,6,5,4,2,3] => 011111110 => 011111110 => 100000001
[2,1,9,8,7,6,5,4,3] => 10111111 => 11111101 => 00000010
[1,2,9,8,7,6,5,4,3] => 00111111 => 11111100 => 00000011
[3,2,1,9,8,7,6,5,4] => 11011111 => 11111011 => 00000100
[1,3,2,9,8,7,6,5,4] => 01011111 => 11111010 => 00000101
[1,2,3,9,8,7,6,5,4] => 00011111 => 11111000 => 00000111
[4,3,2,1,9,8,7,6,5] => 11101111 => 11110111 => 00001000
[1,4,3,2,9,8,7,6,5] => 01101111 => 11110110 => 00001001
[2,1,4,3,9,8,7,6,5] => 10101111 => 11110101 => 00001010
[1,2,4,3,9,8,7,6,5] => 00101111 => 11110100 => 00001011
[1,2,3,4,9,8,7,6,5] => 00001111 => 11110000 => 00001111
[1,5,4,3,2,9,8,7,6] => 01110111 => 11101110 => 00010001
[2,1,5,4,3,9,8,7,6] => 10110111 => 11101101 => 00010010
[1,2,5,4,3,9,8,7,6] => 00110111 => 11101100 => 00010011
[1,3,2,5,4,9,8,7,6] => 01010111 => 11101010 => 00010101
[1,2,3,5,4,9,8,7,6] => 00010111 => 11101000 => 00010111
[1,2,3,4,5,9,8,7,6] => 00000111 => 11100000 => 00011111
[1,3,2,6,5,4,9,8,7] => 01011011 => 11011010 => 00100101
[1,2,3,6,5,4,9,8,7] => 00011011 => 11011000 => 00100111
[2,1,4,3,6,5,9,8,7] => 10101011 => 11010101 => 00101010
[1,2,4,3,6,5,9,8,7] => 00101011 => 11010100 => 00101011
[1,2,3,4,6,5,9,8,7] => 00001011 => 11010000 => 00101111
[1,2,3,5,4,7,6,9,8] => 00010101 => 10101000 => 01010111
[1,2,3,4,5,7,6,9,8] => 00000101 => 10100000 => 01011111
[1,2,10,9,8,7,6,5,4,3] => 001111111 => 111111100 => 000000011
[3,2,1,10,9,8,7,6,5,4] => 110111111 => 111111011 => 000000100
[1,3,2,10,9,8,7,6,5,4] => 010111111 => 111111010 => 000000101
[1,2,3,10,9,8,7,6,5,4] => 000111111 => 111111000 => 000000111
[1,4,3,2,10,9,8,7,6,5] => 011011111 => 111110110 => 000001001
[1,2,4,3,10,9,8,7,6,5] => 001011111 => 111110100 => 000001011
[1,2,3,4,10,9,8,7,6,5] => 000011111 => 111110000 => 000001111
[1,5,4,3,2,10,9,8,7,6] => 011101111 => 111101110 => 000010001
[2,1,5,4,3,10,9,8,7,6] => 101101111 => 111101101 => 000010010
[1,2,5,4,3,10,9,8,7,6] => 001101111 => 111101100 => 000010011
[1,3,2,5,4,10,9,8,7,6] => 010101111 => 111101010 => 000010101
[1,2,3,5,4,10,9,8,7,6] => 000101111 => 111101000 => 000010111
[1,2,6,5,4,3,10,9,8,7] => 001110111 => 111011100 => 000100011
[3,2,1,6,5,4,10,9,8,7] => 110110111 => 111011011 => 000100100
[1,3,2,6,5,4,10,9,8,7] => 010110111 => 111011010 => 000100101
[1,2,3,6,5,4,10,9,8,7] => 000110111 => 111011000 => 000100111
[1,2,4,3,6,5,10,9,8,7] => 001010111 => 111010100 => 000101011
[1,2,3,4,6,5,10,9,8,7] => 000010111 => 111010000 => 000101111
[1,2,3,4,5,6,10,9,8,7] => 000000111 => 111000000 => 000111111
[1,4,3,2,7,6,5,10,9,8] => 011011011 => 110110110 => 001001001
[2,1,4,3,7,6,5,10,9,8] => 101011011 => 110110101 => 001001010
[1,2,4,3,7,6,5,10,9,8] => 001011011 => 110110100 => 001001011
[1,2,3,4,7,6,5,10,9,8] => 000011011 => 110110000 => 001001111
[1,3,2,5,4,7,6,10,9,8] => 010101011 => 110101010 => 001010101
[1,2,3,5,4,7,6,10,9,8] => 000101011 => 110101000 => 001010111
[1,2,3,4,5,7,6,10,9,8] => 000001011 => 110100000 => 001011111
[1,2,3,4,5,6,7,10,9,8] => 000000011 => 110000000 => 001111111
[1,2,4,3,6,5,8,7,10,9] => 001010101 => 101010100 => 010101011
[1,2,3,4,6,5,8,7,10,9] => 000010101 => 101010000 => 010101111
[1,2,3,4,5,6,8,7,10,9] => 000000101 => 101000000 => 010111111
[5,2,7,4,1,6,3,8] => 1011010 => 0101101 => 1010010
[4,7,3,1,5,6,2,8] => 0110010 => 0100110 => 1011001
[5,8,3,4,1,6,7,2] => 0101001 => 1001010 => 0110101
[1,7,8,4,5,6,2,3] => 0010010 => 0100100 => 1011011
[1,5,8,4,2,6,7,3] => 0011001 => 1001100 => 0110011
[1,6,3,8,5,2,7,4] => 0101101 => 1011010 => 0100101
[6,2,3,7,5,1,4,8] => 1001100 => 0011001 => 1100110
[1,7,3,4,8,6,2,5] => 0100110 => 0110010 => 1001101
[8,7,3,2,1,6,5,4] => 1111011 => 1101111 => 0010000
[8,7,6,3,1,5,2,4] => 1111010 => 0101111 => 1010000
[8,5,1,7,2,3,4,6] => 1101000 => 0001011 => 1110100
[9,8,7,6,5,2,1,4,3] => 11111101 => 10111111 => 01000000
[9,8,7,3,2,1,6,5,4] => 11111011 => 11011111 => 00100000
[9,8,7,6,3,1,5,2,4] => 11111010 => 01011111 => 10100000
[9,4,3,2,1,8,7,6,5] => 11110111 => 11101111 => 00010000
[9,8,4,3,1,7,6,2,5] => 11110110 => 01101111 => 10010000
[9,8,7,2,1,4,3,6,5] => 11110101 => 10101111 => 01010000
[9,8,7,4,1,6,2,3,5] => 11110100 => 00101111 => 11010000
[5,4,3,1,9,8,7,2,6] => 11101110 => 01110111 => 10001000
[9,5,2,1,8,4,3,7,6] => 11101101 => 10110111 => 01001000
[9,8,3,1,5,2,7,4,6] => 11101010 => 01010111 => 10101000
[6,3,1,9,5,2,8,4,7] => 11011010 => 01011011 => 10100100
[6,5,1,9,8,2,3,4,7] => 11011000 => 00011011 => 11100100
[9,2,1,4,3,6,5,8,7] => 11010101 => 10101011 => 01010100
[9,6,1,8,2,3,4,5,7] => 11010000 => 00001011 => 11110100
[5,1,7,2,9,3,4,6,8] => 10101000 => 00010101 => 11101010
[7,1,9,2,3,4,5,6,8] => 10100000 => 00000101 => 11111010
[10,9,8,7,6,5,2,1,4,3] => 111111101 => 101111111 => 010000000
[10,9,8,7,3,2,1,6,5,4] => 111111011 => 110111111 => 001000000
[10,9,8,7,6,3,1,5,2,4] => 111111010 => 010111111 => 101000000
[10,9,4,3,2,1,8,7,6,5] => 111110111 => 111011111 => 000100000
[10,9,8,4,3,1,7,6,2,5] => 111110110 => 011011111 => 100100000
[10,9,8,7,2,1,4,3,6,5] => 111110101 => 101011111 => 010100000
[10,9,8,7,4,1,6,2,3,5] => 111110100 => 001011111 => 110100000
[10,5,4,3,1,9,8,7,2,6] => 111101110 => 011101111 => 100010000
[10,9,5,2,1,8,4,3,7,6] => 111101101 => 101101111 => 010010000
[10,9,5,4,1,8,7,2,3,6] => 111101100 => 001101111 => 110010000
[10,9,8,3,1,5,2,7,4,6] => 111101010 => 010101111 => 101010000
[6,5,2,1,10,9,4,3,8,7] => 111011101 => 101110111 => 010001000
[6,5,4,1,10,9,8,2,3,7] => 111011100 => 001110111 => 110001000
[10,3,2,1,6,5,4,9,8,7] => 111011011 => 110110111 => 001001000
[10,6,5,1,9,8,2,3,4,7] => 111011000 => 000110111 => 111001000
[10,9,2,1,4,3,6,5,8,7] => 111010101 => 101010111 => 010101000
[10,9,6,1,8,2,3,4,5,7] => 111010000 => 000010111 => 111101000
[4,3,1,7,6,2,10,9,5,8] => 110110110 => 011011011 => 100100100
[7,2,1,10,4,3,6,5,9,8] => 110110101 => 101011011 => 010100100
[7,4,1,10,6,2,9,3,5,8] => 110110100 => 001011011 => 110100100
[7,6,1,10,9,2,3,4,5,8] => 110110000 => 000011011 => 111100100
[10,5,1,7,2,9,3,4,6,8] => 110101000 => 000101011 => 111010100
[10,7,1,9,2,3,4,5,6,8] => 110100000 => 000001011 => 111110100
[4,1,6,2,8,3,10,5,7,9] => 101010100 => 001010101 => 110101010
[6,1,8,2,10,3,4,5,7,9] => 101010000 => 000010101 => 111101010
[8,1,10,2,3,4,5,6,7,9] => 101000000 => 000000101 => 111111010
[2,4,8,5,3,7,1,6] => 0011010 => 0101100 => 1010011
[2,4,1,8,5,3,7,6] => 0101101 => 1011010 => 0100101
[2,4,8,6,3,1,7,5] => 0011101 => 1011100 => 0100011
[3,4,6,8,2,1,7,5] => 0001101 => 1011000 => 0100111
[3,4,1,5,8,2,7,6] => 0100101 => 1010010 => 0101101
[8,1,4,5,3,2,7,6] => 1001101 => 1011001 => 0100110
[3,4,1,5,2,8,7,6] => 0101011 => 1101010 => 0010101
[3,4,6,2,1,8,7,5] => 0011011 => 1101100 => 0010011
[3,5,6,2,1,7,8,4] => 0011001 => 1001100 => 0110011
[3,4,6,2,7,8,1,5] => 0010010 => 0100100 => 1011011
[8,1,4,6,3,7,2,5] => 1001010 => 0101001 => 1010110
[8,1,4,6,3,7,5,2] => 1001011 => 1101001 => 0010110
[3,5,6,2,1,7,4,8] => 0011010 => 0101100 => 1010011
[8,1,5,6,7,3,4,2] => 1000101 => 1010001 => 0101110
[8,1,5,6,7,3,2,4] => 1000110 => 0110001 => 1001110
[3,4,1,6,8,7,2,5] => 0100110 => 0110010 => 1001101
[3,5,6,1,8,7,2,4] => 0010110 => 0110100 => 1001011
[2,1,3,8,6,7,4,5] => 1001010 => 0101001 => 1010110
[8,1,3,2,6,7,5,4] => 1010011 => 1100101 => 0011010
[2,3,8,6,7,1,5,4] => 0010101 => 1010100 => 0101011
[2,4,1,8,6,7,5,3] => 0101011 => 1101010 => 0010101
[2,5,8,6,1,7,4,3] => 0011011 => 1101100 => 0010011
[3,5,6,1,8,7,4,2] => 0010111 => 1110100 => 0001011
[3,4,1,6,8,7,5,2] => 0100111 => 1110010 => 0001101
[3,4,6,8,7,1,5,2] => 0001101 => 1011000 => 0100111
[8,1,4,6,2,7,5,3] => 1001011 => 1101001 => 0010110
[3,5,1,6,7,8,4,2] => 0100011 => 1100010 => 0011101
[4,5,6,1,7,8,3,2] => 0010011 => 1100100 => 0011011
[4,5,6,1,7,3,8,2] => 0010101 => 1010100 => 0101011
[3,5,1,6,7,4,8,2] => 0100101 => 1010010 => 0101101
[8,1,5,6,7,4,2,3] => 1000110 => 0110001 => 1001110
[8,1,5,6,7,4,3,2] => 1000111 => 1110001 => 0001110
[3,5,1,6,7,4,2,8] => 0100110 => 0110010 => 1001101
[4,5,6,1,7,3,2,8] => 0010110 => 0110100 => 1001011
[6,5,8,7,4,3,1,2] => 1011110 => 0111101 => 1000010
[6,4,2,7,8,5,1,3] => 1100110 => 0110011 => 1001100
[6,1,4,8,7,5,2,3] => 1001110 => 0111001 => 1000110
[1,6,4,8,7,5,2,3] => 0101110 => 0111010 => 1000101
[1,8,6,2,4,7,3,5] => 0110010 => 0100110 => 1011001
[8,1,6,2,4,7,3,5] => 1010010 => 0100101 => 1011010
[7,6,2,1,4,8,3,5] => 1110010 => 0100111 => 1011000
[6,4,1,7,8,5,2,3] => 1100110 => 0110011 => 1001100
[7,6,1,2,4,8,3,5] => 1100010 => 0100011 => 1011100
[7,6,1,3,4,8,2,5] => 1100010 => 0100011 => 1011100
[8,1,6,3,4,7,2,5] => 1010010 => 0100101 => 1011010
[1,8,6,3,4,7,2,5] => 0110010 => 0100110 => 1011001
[1,7,2,5,4,8,3,6] => 0101010 => 0101010 => 1010101
[7,1,2,5,4,8,3,6] => 1001010 => 0101001 => 1010110
[2,7,1,5,4,8,3,6] => 0101010 => 0101010 => 1010101
[2,8,6,3,4,7,1,5] => 0110010 => 0100110 => 1011001
[2,8,6,1,4,7,3,5] => 0110010 => 0100110 => 1011001
[7,2,1,5,4,8,3,6] => 1101010 => 0101011 => 1010100
[1,2,7,5,4,8,3,6] => 0011010 => 0101100 => 1010011
[3,2,7,5,4,8,1,6] => 1011010 => 0101101 => 1010010
[2,5,8,4,7,3,1,6] => 0010110 => 0110100 => 1001011
[2,3,7,5,4,8,1,6] => 0011010 => 0101100 => 1010011
[6,8,3,2,4,7,1,5] => 0110010 => 0100110 => 1011001
[3,7,2,5,4,8,1,6] => 0101010 => 0101010 => 1010101
[3,1,7,5,4,8,2,6] => 1011010 => 0101101 => 1010010
[1,3,7,5,4,8,2,6] => 0011010 => 0101100 => 1010011
[1,5,8,4,7,3,2,6] => 0010110 => 0110100 => 1001011
[5,1,8,4,7,3,2,6] => 1010110 => 0110101 => 1001010
[5,8,2,4,7,3,1,6] => 0100110 => 0110010 => 1001101
[6,8,4,3,7,5,1,2] => 0110110 => 0110110 => 1001001
[8,7,5,6,2,1,4,3] => 1101101 => 1011011 => 0100100
[8,5,2,4,7,3,1,6] => 1100110 => 0110011 => 1001100
[8,1,5,4,7,3,2,6] => 1010110 => 0110101 => 1001010
[1,8,5,4,7,3,2,6] => 0110110 => 0110110 => 1001001
[1,7,3,5,4,8,2,6] => 0101010 => 0101010 => 1010101
[8,6,3,1,4,7,2,5] => 1110010 => 0100111 => 1011000
[8,6,4,2,7,5,1,3] => 1110110 => 0110111 => 1001000
[8,6,4,1,7,2,5,3] => 1110101 => 1010111 => 0101000
[5,3,7,4,6,8,2,1] => 1010011 => 1100101 => 0011010
[4,1,3,2,7,8,5,6] => 1010010 => 0100101 => 1011010
[1,4,3,2,7,8,5,6] => 0110010 => 0100110 => 1011001
[2,4,3,1,7,8,5,6] => 0110010 => 0100110 => 1011001
[2,7,3,5,4,8,1,6] => 0101010 => 0101010 => 1010101
[2,8,5,4,7,3,1,6] => 0110110 => 0110110 => 1001001
[5,7,3,4,6,8,2,1] => 0100011 => 1100010 => 0011101
[8,2,5,4,7,3,1,6] => 1010110 => 0110101 => 1001010
[7,2,3,5,4,8,1,6] => 1001010 => 0101001 => 1010110
[3,2,1,4,7,8,5,6] => 1100010 => 0100011 => 1011100
[8,1,7,6,4,3,5,2] => 1011101 => 1011101 => 0100010
[8,6,4,5,2,7,1,3] => 1101010 => 0101011 => 1010100
[7,1,8,6,4,3,5,2] => 1011101 => 1011101 => 0100010
[7,4,2,5,1,6,3,8] => 1101010 => 0101011 => 1010100
[7,3,6,5,2,1,4,8] => 1011100 => 0011101 => 1100010
[8,3,6,5,2,1,7,4] => 1011101 => 1011101 => 0100010
[7,3,6,5,2,1,8,4] => 1011101 => 1011101 => 0100010
[7,5,8,6,4,2,1,3] => 1011110 => 0111101 => 1000010
[5,4,2,8,1,3,7,6] => 1101001 => 1001011 => 0110100
[5,8,2,6,4,1,3,7] => 0101100 => 0011010 => 1100101
[6,4,2,5,1,8,3,7] => 1101010 => 0101011 => 1010100
[6,3,5,2,1,4,7,8] => 1011000 => 0001101 => 1110010
[2,5,8,6,3,1,4,7] => 0011100 => 0011100 => 1100011
[2,3,5,8,1,4,7,6] => 0001001 => 1001000 => 0110111
[2,3,6,8,1,5,7,4] => 0001001 => 1001000 => 0110111
[6,3,8,5,2,7,1,4] => 1011010 => 0101101 => 1010010
[6,3,7,5,2,1,4,8] => 1011100 => 0011101 => 1100010
[2,5,7,6,3,1,4,8] => 0011100 => 0011100 => 1100011
[2,8,7,6,3,1,5,4] => 0111101 => 1011110 => 0100001
[2,5,8,7,6,3,1,4] => 0011110 => 0111100 => 1000011
[2,4,8,1,6,5,7,3] => 0010101 => 1010100 => 0101011
[2,8,7,3,6,1,4,5] => 0110100 => 0010110 => 1101001
[7,3,5,2,1,4,6,8] => 1011000 => 0001101 => 1110010
[8,4,2,5,1,3,7,6] => 1101001 => 1001011 => 0110100
[2,3,6,8,1,4,7,5] => 0001001 => 1001000 => 0110111
[2,7,8,6,3,1,4,5] => 0011100 => 0011100 => 1100011
[7,3,8,5,2,1,4,6] => 1011100 => 0011101 => 1100010
[2,3,6,1,8,4,7,5] => 0010101 => 1010100 => 0101011
[2,8,6,3,1,4,5,7] => 0111000 => 0001110 => 1110001
[8,3,5,2,1,4,6,7] => 1011000 => 0001101 => 1110010
[2,4,8,1,3,7,5,6] => 0010010 => 0100100 => 1011011
[2,5,8,1,7,3,6,4] => 0010101 => 1010100 => 0101011
[3,8,6,1,4,7,5,2] => 0110011 => 1100110 => 0011001
[2,7,1,5,8,3,4,6] => 0100100 => 0010010 => 1101101
[3,7,5,8,1,2,6,4] => 0101001 => 1001010 => 0110101
[7,3,6,1,2,8,4,5] => 1010010 => 0100101 => 1011010
[7,4,8,1,6,5,2,3] => 1010110 => 0110101 => 1001010
[7,4,5,8,6,1,2,3] => 1001100 => 0011001 => 1100110
[6,8,4,5,1,7,2,3] => 0101010 => 0101010 => 1010101
[5,1,8,7,6,2,3,4] => 1011100 => 0011101 => 1100010
[8,5,1,6,2,7,3,4] => 1101010 => 0101011 => 1010100
[4,6,1,8,7,5,2,3] => 0101110 => 0111010 => 1000101
[4,5,1,8,7,2,3,6] => 0101100 => 0011010 => 1100101
[3,4,8,7,1,2,5,6] => 0011000 => 0001100 => 1110011
[6,4,8,7,1,2,5,3] => 1011001 => 1001101 => 0110010
[6,5,1,2,7,3,8,4] => 1100101 => 1010011 => 0101100
[6,5,1,8,2,7,3,4] => 1101010 => 0101011 => 1010100
[6,5,1,7,2,8,3,4] => 1101010 => 0101011 => 1010100
[6,5,1,7,2,3,8,4] => 1101001 => 1001011 => 0110100
[5,6,8,7,4,1,2,3] => 0011100 => 0011100 => 1100011
[6,8,5,7,4,1,2,3] => 0101100 => 0011010 => 1100101
[7,3,8,1,5,2,4,6] => 1010100 => 0010101 => 1101010
[4,1,7,5,3,6,2,8] => 1011010 => 0101101 => 1010010
[1,8,4,2,3,6,7,5] => 0110001 => 1000110 => 0111001
[2,5,8,3,4,6,7,1] => 0010001 => 1000100 => 0111011
[4,1,7,2,3,6,8,5] => 1010001 => 1000101 => 0111010
[4,6,2,1,5,7,8,3] => 0110001 => 1000110 => 0111001
[4,5,2,3,1,7,8,6] => 0101001 => 1001010 => 0110101
[3,2,6,7,4,1,8,5] => 1001101 => 1011001 => 0100110
[5,6,2,7,1,4,8,3] => 0101001 => 1001010 => 0110101
[6,2,3,8,1,7,4,5] => 1001010 => 0101001 => 1010110
[2,6,8,3,4,7,1,5] => 0010010 => 0100100 => 1011011
[4,6,2,7,5,1,3,8] => 0101100 => 0011010 => 1100101
[2,6,3,1,8,4,5,7] => 0110100 => 0010110 => 1101001
[2,4,3,7,8,1,5,6] => 0100100 => 0010010 => 1101101
[5,3,2,7,4,8,1,6] => 1101010 => 0101011 => 1010100
[5,1,2,7,6,8,4,3] => 1001011 => 1101001 => 0010110
[2,6,3,1,8,7,4,5] => 0110110 => 0110110 => 1001001
[3,5,6,4,7,8,1,2] => 0010010 => 0100100 => 1011011
[5,3,6,4,2,8,7,1] => 1011011 => 1101101 => 0010010
[5,4,2,3,7,8,6,1] => 1100011 => 1100011 => 0011100
[4,1,8,2,5,7,3,6] => 1010010 => 0100101 => 1011010
[3,1,8,4,7,2,5,6] => 1010100 => 0010101 => 1101010
[6,2,3,8,4,1,7,5] => 1001101 => 1011001 => 0100110
[2,6,4,1,5,3,8,7] => 0110101 => 1010110 => 0101001
[3,2,7,6,4,1,8,5] => 1011101 => 1011101 => 0100010
[2,5,4,1,7,6,8,3] => 0110101 => 1010110 => 0101001
[6,2,1,4,7,8,3,5] => 1100010 => 0100011 => 1011100
[2,6,5,1,7,8,3,4] => 0110010 => 0100110 => 1011001
[4,7,5,2,1,6,3,8] => 0111010 => 0101110 => 1010001
[4,2,3,7,8,1,6,5] => 1000101 => 1010001 => 0101110
[5,8,3,1,7,2,4,6] => 0110100 => 0010110 => 1101001
[6,8,3,1,5,2,4,7] => 0110100 => 0010110 => 1101001
[4,2,7,1,6,3,5,8] => 1010100 => 0010101 => 1101010
[5,1,7,4,2,6,3,8] => 1011010 => 0101101 => 1010010
[5,8,2,1,4,7,3,6] => 0110010 => 0100110 => 1011001
[6,8,3,2,5,1,7,4] => 0110101 => 1010110 => 0101001
[6,8,4,3,1,5,7,2] => 0111001 => 1001110 => 0110001
[6,8,4,2,1,5,7,3] => 0111001 => 1001110 => 0110001
[6,8,3,2,1,4,5,7] => 0111000 => 0001110 => 1110001
[5,1,7,3,2,4,6,8] => 1011000 => 0001101 => 1110010
[5,2,1,8,3,6,7,4] => 1101001 => 1001011 => 0110100
[4,3,8,1,6,2,7,5] => 1010101 => 1010101 => 0101010
[4,2,1,6,5,8,3,7] => 1101010 => 0101011 => 1010100
[4,2,1,8,5,7,3,6] => 1101010 => 0101011 => 1010100
[6,3,2,1,7,4,5,8] => 1110100 => 0010111 => 1101000
[6,4,2,1,7,5,3,8] => 1110110 => 0110111 => 1001000
[7,5,2,1,8,6,3,4] => 1110110 => 0110111 => 1001000
[5,3,2,7,6,1,4,8] => 1101100 => 0011011 => 1100100
[5,3,2,8,6,1,4,7] => 1101100 => 0011011 => 1100100
[6,3,2,8,7,1,4,5] => 1101100 => 0011011 => 1100100
[4,2,8,1,7,3,5,6] => 1010100 => 0010101 => 1101010
[4,3,8,7,2,1,5,6] => 1011100 => 0011101 => 1100010
[2,1,5,8,4,7,3,6] => 1001010 => 0101001 => 1010110
[4,3,2,5,8,1,6,7] => 1100100 => 0010011 => 1101100
[4,3,2,5,7,1,6,8] => 1100100 => 0010011 => 1101100
[4,3,1,6,2,7,5,8] => 1101010 => 0101011 => 1010100
[5,4,1,7,2,8,6,3] => 1101011 => 1101011 => 0010100
[6,5,3,1,7,8,4,2] => 1110011 => 1100111 => 0011000
[6,4,2,1,7,8,5,3] => 1110011 => 1100111 => 0011000
[3,2,1,4,8,7,5,6] => 1100110 => 0110011 => 1001100
[3,2,1,4,6,8,5,7] => 1100010 => 0100011 => 1011100
[5,3,2,1,6,7,8,4] => 1110001 => 1000111 => 0111000
[8,6,1,4,5,7,2,3] => 1100010 => 0100011 => 1011100
[3,8,6,4,5,7,1,2] => 0110010 => 0100110 => 1011001
[5,2,8,3,7,4,6,1] => 1010101 => 1010101 => 0101010
[6,2,8,5,4,7,3,1] => 1011011 => 1101101 => 0010010
[1,8,6,3,7,4,2,5] => 0110110 => 0110110 => 1001001
[1,8,6,5,7,2,3,4] => 0110100 => 0010110 => 1101001
[5,2,8,4,3,6,7,1] => 1011001 => 1001101 => 0110010
[5,4,2,7,3,6,1,8] => 1101010 => 0101011 => 1010100
[5,4,2,8,3,6,1,7] => 1101010 => 0101011 => 1010100
[6,5,3,8,4,7,2,1] => 1101011 => 1101011 => 0010100
[5,2,8,4,3,7,1,6] => 1011010 => 0101101 => 1010010
[6,2,8,3,7,4,1,5] => 1010110 => 0110101 => 1001010
[5,4,2,7,3,1,8,6] => 1101101 => 1011011 => 0100100
[6,4,3,7,1,2,8,5] => 1101001 => 1001011 => 0110100
[6,4,3,8,1,2,7,5] => 1101001 => 1001011 => 0110100
[7,6,3,8,4,2,1,5] => 1101110 => 0111011 => 1000100
[7,2,8,5,1,6,3,4] => 1011010 => 0101101 => 1010010
[7,2,8,4,3,1,5,6] => 1011100 => 0011101 => 1100010
[7,5,3,8,4,2,6,1] => 1101101 => 1011011 => 0100100
[6,4,2,7,3,1,5,8] => 1101100 => 0011011 => 1100100
[7,6,4,8,2,3,5,1] => 1101001 => 1001011 => 0110100
[7,6,8,1,2,5,3,4] => 1010010 => 0100101 => 1011010
[5,3,1,7,8,4,6,2] => 1100101 => 1010011 => 0101100
[5,3,2,7,8,4,6,1] => 1100101 => 1010011 => 0101100
[5,4,1,6,3,8,7,2] => 1101011 => 1101011 => 0010100
[6,5,1,7,8,2,3,4] => 1100100 => 0010011 => 1101100
[6,3,1,7,8,4,2,5] => 1100110 => 0110011 => 1001100
[5,4,1,7,3,8,2,6] => 1101010 => 0101011 => 1010100
[6,3,2,7,8,4,1,5] => 1100110 => 0110011 => 1001100
[6,1,5,4,3,2,8,7] => 1011101 => 1011101 => 0100010
[8,7,6,1,3,5,2,4] => 1110010 => 0100111 => 1011000
[8,1,6,5,7,3,4,2] => 1010101 => 1010101 => 0101010
[8,4,1,5,7,6,2,3] => 1100110 => 0110011 => 1001100
[7,8,6,2,5,3,1,4] => 0110110 => 0110110 => 1001001
[6,1,3,5,2,8,4,7] => 1001010 => 0101001 => 1010110
[8,1,3,7,4,2,5,6] => 1001100 => 0011001 => 1100110
[4,3,8,7,5,2,1,6] => 1011110 => 0111101 => 1000010
[6,7,1,8,5,3,4,2] => 0101101 => 1011010 => 0100101
[2,7,6,4,8,3,5,1] => 0110101 => 1010110 => 0101001
[6,5,2,7,1,4,8,3] => 1101001 => 1001011 => 0110100
[7,4,6,1,3,2,8,5] => 1010101 => 1010101 => 0101010
[7,5,2,1,3,8,4,6] => 1110010 => 0100111 => 1011000
[8,4,7,6,3,1,5,2] => 1011101 => 1011101 => 0100010
[7,4,1,5,6,3,8,2] => 1100101 => 1010011 => 0101100
[3,4,7,5,6,1,8,2] => 0010101 => 1010100 => 0101011
[2,4,7,5,6,3,8,1] => 0010101 => 1010100 => 0101011
[5,4,1,7,6,2,8,3] => 1101101 => 1011011 => 0100100
[3,5,6,7,1,4,8,2] => 0001001 => 1001000 => 0110111
[2,7,6,1,3,4,8,5] => 0110001 => 1000110 => 0111001
[5,7,2,1,6,3,8,4] => 0110101 => 1010110 => 0101001
[4,7,2,5,6,3,8,1] => 0100101 => 1010010 => 0101101
[8,6,2,5,7,1,4,3] => 1100101 => 1010011 => 0101100
[2,7,4,5,3,8,1,6] => 0101010 => 0101010 => 1010101
[6,8,7,1,3,2,5,4] => 0110101 => 1010110 => 0101001
[2,8,6,5,7,1,4,3] => 0110101 => 1010110 => 0101001
[5,8,4,3,2,6,7,1] => 0111001 => 1001110 => 0110001
[1,8,5,6,2,4,7,3] => 0101001 => 1001010 => 0110101
[8,1,5,6,2,4,7,3] => 1001001 => 1001001 => 0110110
[6,4,8,1,3,2,7,5] => 1010101 => 1010101 => 0101010
[1,4,5,2,8,6,7,3] => 0010101 => 1010100 => 0101011
[2,3,1,7,8,6,4,5] => 0100110 => 0110010 => 1001101
[3,5,7,6,2,8,1,4] => 0011010 => 0101100 => 1010011
[4,5,6,1,2,8,7,3] => 0010011 => 1100100 => 0011011
[5,4,1,2,8,6,7,3] => 1100101 => 1010011 => 0101100
[8,4,5,2,1,6,7,3] => 1011001 => 1001101 => 0110010
[3,1,2,6,8,4,7,5] => 1000101 => 1010001 => 0101110
[5,1,3,2,7,8,4,6] => 1010010 => 0100101 => 1011010
[1,5,4,2,7,8,3,6] => 0110010 => 0100110 => 1011001
[4,6,7,8,3,1,5,2] => 0001101 => 1011000 => 0100111
[7,6,2,8,4,3,1,5] => 1101110 => 0111011 => 1000100
[5,2,8,6,3,4,7,1] => 1011001 => 1001101 => 0110010
[5,6,8,4,3,2,7,1] => 0011101 => 1011100 => 0100011
[5,3,8,1,7,2,4,6] => 1010100 => 0010101 => 1101010
[3,6,7,8,4,2,1,5] => 0001110 => 0111000 => 1000111
[6,5,1,8,4,3,7,2] => 1101101 => 1011011 => 0100100
[6,3,8,4,2,1,7,5] => 1011101 => 1011101 => 0100010
[2,5,8,3,1,6,7,4] => 0011001 => 1001100 => 0110011
[3,5,8,1,2,6,7,4] => 0010001 => 1000100 => 0111011
[3,2,8,1,5,6,7,4] => 1010001 => 1000101 => 0111010
[1,5,8,3,2,6,7,4] => 0011001 => 1001100 => 0110011
[1,3,8,6,2,4,7,5] => 0011001 => 1001100 => 0110011
[3,2,7,8,4,6,1,5] => 1001010 => 0101001 => 1010110
[5,1,8,3,4,6,7,2] => 1010001 => 1000101 => 0111010
[4,8,7,2,1,6,3,5] => 0111010 => 0101110 => 1010001
[2,8,1,6,3,4,7,5] => 0101001 => 1001010 => 0110101
[8,3,4,2,1,6,5,7] => 1011010 => 0101101 => 1010010
[6,4,7,2,5,8,1,3] => 1010010 => 0100101 => 1011010
[8,4,5,2,6,3,1,7] => 1010110 => 0110101 => 1001010
[2,4,5,8,3,6,1,7] => 0001010 => 0101000 => 1010111
[3,5,8,1,2,6,4,7] => 0010010 => 0100100 => 1011011
[8,6,1,3,5,2,4,7] => 1100100 => 0010011 => 1101100
[8,5,1,2,6,4,3,7] => 1100110 => 0110011 => 1001100
[5,8,6,1,3,4,2,7] => 0110010 => 0100110 => 1011001
[5,8,4,6,1,3,2,7] => 0101010 => 0101010 => 1010101
[7,3,4,5,2,8,1,6] => 1001010 => 0101001 => 1010110
[5,7,4,3,6,1,8,2] => 0110101 => 1010110 => 0101001
[2,6,4,3,7,8,5,1] => 0110011 => 1100110 => 0011001
[7,4,1,8,3,2,5,6] => 1101100 => 0011011 => 1100100
[6,2,1,7,8,4,5,3] => 1100101 => 1010011 => 0101100
[7,6,3,1,5,4,8,2] => 1110101 => 1010111 => 0101000
[2,4,6,5,1,7,8,3] => 0011001 => 1001100 => 0110011
[1,4,7,5,6,8,2,3] => 0010010 => 0100100 => 1011011
[1,4,7,6,5,8,2,3] => 0011010 => 0101100 => 1010011
[3,7,5,2,4,6,8,1] => 0110001 => 1000110 => 0111001
[5,6,1,7,4,2,8,3] => 0101101 => 1011010 => 0100101
[3,7,4,8,1,2,6,5] => 0101001 => 1001010 => 0110101
[6,3,5,7,8,1,4,2] => 1000101 => 1010001 => 0101110
[3,6,5,7,1,8,4,2] => 0101011 => 1101010 => 0010101
[6,4,7,8,2,1,3,5] => 1001100 => 0011001 => 1100110
[6,7,3,8,4,1,2,5] => 0101100 => 0011010 => 1100101
[2,7,8,3,4,6,1,5] => 0010010 => 0100100 => 1011011
[7,5,8,4,1,3,2,6] => 1011010 => 0101101 => 1010010
[4,7,5,8,3,1,2,6] => 0101100 => 0011010 => 1100101
[3,6,7,4,8,1,2,5] => 0010100 => 0010100 => 1101011
[5,7,3,1,6,8,4,2] => 0110011 => 1100110 => 0011001
[2,7,3,1,8,6,4,5] => 0110110 => 0110110 => 1001001
[2,8,4,3,1,5,7,6] => 0111001 => 1001110 => 0110001
[4,8,1,2,3,5,7,6] => 0100001 => 1000010 => 0111101
[7,6,8,1,2,4,3,5] => 1010010 => 0100101 => 1011010
[7,6,8,5,1,3,2,4] => 1011010 => 0101101 => 1010010
[2,8,5,4,6,1,7,3] => 0110101 => 1010110 => 0101001
[8,4,5,2,7,6,1,3] => 1010110 => 0110101 => 1001010
[8,7,6,4,1,2,5,3] => 1111001 => 1001111 => 0110000
[6,7,1,3,5,2,8,4] => 0100101 => 1010010 => 0101101
[5,7,2,3,6,8,1,4] => 0100010 => 0100010 => 1011101
[8,5,3,2,7,6,1,4] => 1110110 => 0110111 => 1001000
[3,4,6,7,5,8,1,2] => 0001010 => 0101000 => 1010111
[3,4,5,7,6,1,8,2] => 0001101 => 1011000 => 0100111
[2,6,4,5,7,8,3,1] => 0100011 => 1100010 => 0011101
[3,8,5,1,6,2,7,4] => 0110101 => 1010110 => 0101001
[2,5,1,3,6,8,7,4] => 0100011 => 1100010 => 0011101
[5,4,6,1,3,7,8,2] => 1010001 => 1000101 => 0111010
[6,3,5,7,1,4,8,2] => 1001001 => 1001001 => 0110110
[7,3,4,6,8,1,5,2] => 1000101 => 1010001 => 0101110
[7,5,2,8,4,1,3,6] => 1101100 => 0011011 => 1100100
[3,7,6,4,1,8,2,5] => 0111010 => 0101110 => 1010001
[3,7,8,4,1,5,6,2] => 0011001 => 1001100 => 0110011
[8,7,5,4,2,1,6,3] => 1111101 => 1011111 => 0100000
[3,5,8,6,7,4,2,1] => 0010111 => 1110100 => 0001011
[5,8,1,6,7,3,4,2] => 0100101 => 1010010 => 0101101
[6,7,2,5,1,8,4,3] => 0101011 => 1101010 => 0010101
[5,8,2,1,6,7,4,3] => 0110011 => 1100110 => 0011001
[4,5,2,8,6,3,7,1] => 0101101 => 1011010 => 0100101
[3,6,1,2,5,8,4,7] => 0100010 => 0100010 => 1011101
[1,4,5,8,2,3,7,6] => 0001001 => 1001000 => 0110111
[1,2,6,4,5,8,3,7] => 0010010 => 0100100 => 1011011
[1,5,2,4,6,8,3,7] => 0100010 => 0100010 => 1011101
[3,6,1,5,8,2,4,7] => 0100100 => 0010010 => 1101101
[2,6,5,1,4,8,3,7] => 0110010 => 0100110 => 1011001
[5,2,6,1,4,8,3,7] => 1010010 => 0100101 => 1011010
[2,5,1,8,4,7,3,6] => 0101010 => 0101010 => 1010101
[2,7,1,4,3,6,8,5] => 0101001 => 1001010 => 0110101
[1,3,7,5,8,2,4,6] => 0010100 => 0010100 => 1101011
[8,2,1,5,7,3,4,6] => 1100100 => 0010011 => 1101100
[2,5,4,8,1,3,7,6] => 0101001 => 1001010 => 0110101
[2,4,1,3,8,6,7,5] => 0100101 => 1010010 => 0101101
[8,4,3,7,1,2,6,5] => 1101001 => 1001011 => 0110100
[1,7,3,5,8,2,6,4] => 0100101 => 1010010 => 0101101
[1,8,4,2,6,7,3,5] => 0110010 => 0100110 => 1011001
[3,1,6,8,7,2,4,5] => 1001100 => 0011001 => 1100110
[7,2,1,6,8,3,4,5] => 1100100 => 0010011 => 1101100
[3,1,7,6,8,2,4,5] => 1010100 => 0010101 => 1101010
[4,1,7,2,6,8,3,5] => 1010010 => 0100101 => 1011010
[5,1,7,2,3,6,8,4] => 1010001 => 1000101 => 0111010
[7,2,1,6,3,5,8,4] => 1101001 => 1001011 => 0110100
[2,6,1,7,3,5,8,4] => 0101001 => 1001010 => 0110101
[7,1,2,5,3,6,8,4] => 1001001 => 1001001 => 0110110
[5,4,1,2,7,8,3,6] => 1100010 => 0100011 => 1011100
[8,1,3,2,4,6,7,5] => 1010001 => 1000101 => 0111010
[7,3,1,2,4,6,8,5] => 1100001 => 1000011 => 0111100
[1,8,3,4,7,2,5,6] => 0100100 => 0010010 => 1101101
[3,5,8,1,2,7,4,6] => 0010010 => 0100100 => 1011011
[3,6,8,1,2,4,7,5] => 0010001 => 1000100 => 0111011
[4,1,3,8,7,2,6,5] => 1001101 => 1011001 => 0100110
[1,3,7,4,8,2,6,5] => 0010101 => 1010100 => 0101011
[1,4,6,8,2,3,7,5] => 0001001 => 1001000 => 0110111
[3,5,8,1,7,2,4,6] => 0010100 => 0010100 => 1101011
[2,6,8,1,7,3,4,5] => 0010100 => 0010100 => 1101011
[6,1,5,8,2,3,7,4] => 1001001 => 1001001 => 0110110
[1,8,3,2,7,5,6,4] => 0110101 => 1010110 => 0101001
[3,1,7,2,8,5,6,4] => 1010101 => 1010101 => 0101010
[2,6,7,3,8,1,5,4] => 0010101 => 1010100 => 0101011
[8,4,1,7,3,6,2,5] => 1101010 => 0101011 => 1010100
[3,7,2,8,6,1,5,4] => 0101101 => 1011010 => 0100101
[6,2,3,8,7,1,5,4] => 1001101 => 1011001 => 0100110
[5,1,7,8,4,2,6,3] => 1001101 => 1011001 => 0100110
[5,1,8,7,4,2,6,3] => 1011101 => 1011101 => 0100010
[4,7,2,8,3,6,5,1] => 0101011 => 1101010 => 0010101
[4,1,7,8,5,3,6,2] => 1001101 => 1011001 => 0100110
[5,1,7,4,8,3,6,2] => 1010101 => 1010101 => 0101010
[4,1,8,7,5,3,6,2] => 1011101 => 1011101 => 0100010
[4,8,2,7,3,6,5,1] => 0101011 => 1101010 => 0010101
[4,7,2,6,3,5,8,1] => 0101001 => 1001010 => 0110101
[6,8,2,4,3,7,5,1] => 0101011 => 1101010 => 0010101
[6,7,2,4,3,8,5,1] => 0101011 => 1101010 => 0010101
[6,8,2,7,3,5,4,1] => 0101011 => 1101010 => 0010101
[3,8,7,2,4,1,5,6] => 0110100 => 0010110 => 1101001
[3,7,8,2,4,1,5,6] => 0010100 => 0010100 => 1101011
[3,6,8,2,4,5,7,1] => 0010001 => 1000100 => 0111011
[3,6,7,2,4,5,8,1] => 0010001 => 1000100 => 0111011
[6,5,1,4,2,3,8,7] => 1101001 => 1001011 => 0110100
[8,6,1,7,2,5,4,3] => 1101011 => 1101011 => 0010100
[8,7,6,1,2,3,5,4] => 1110001 => 1000111 => 0111000
[5,4,3,1,6,2,8,7] => 1110101 => 1010111 => 0101000
[8,3,4,7,1,6,2,5] => 1001010 => 0101001 => 1010110
[6,3,4,1,8,5,2,7] => 1010110 => 0110101 => 1001010
[3,8,5,2,7,1,6,4] => 0110101 => 1010110 => 0101001
[2,8,6,7,5,3,4,1] => 0101101 => 1011010 => 0100101
[2,1,8,7,3,6,4,5] => 1011010 => 0101101 => 1010010
[3,6,5,8,2,4,7,1] => 0101001 => 1001010 => 0110101
[5,2,1,8,7,3,4,6] => 1101100 => 0011011 => 1100100
[6,5,2,7,4,3,8,1] => 1101101 => 1011011 => 0100100
[4,6,5,2,7,3,8,1] => 0110101 => 1010110 => 0101001
[6,2,7,1,8,3,5,4] => 1010101 => 1010101 => 0101010
[2,7,5,4,8,3,6,1] => 0110101 => 1010110 => 0101001
[8,7,5,1,2,6,4,3] => 1110011 => 1100111 => 0011000
[8,4,3,2,7,1,6,5] => 1110101 => 1010111 => 0101000
[7,1,6,2,3,8,5,4] => 1010011 => 1100101 => 0011010
[4,8,1,3,2,7,5,6] => 0101010 => 0101010 => 1010101
[3,8,1,4,7,5,2,6] => 0100110 => 0110010 => 1001101
[6,3,8,7,4,5,1,2] => 1011010 => 0101101 => 1010010
[6,1,4,8,5,2,3,7] => 1001100 => 0011001 => 1100110
[8,5,7,4,6,2,1,3] => 1010110 => 0110101 => 1001010
[4,6,7,8,2,3,5,1] => 0001001 => 1001000 => 0110111
[8,7,4,6,2,1,5,3] => 1101101 => 1011011 => 0100100
[7,6,1,3,5,2,8,4] => 1100101 => 1010011 => 0101100
[5,8,3,2,4,6,1,7] => 0110010 => 0100110 => 1011001
[8,2,6,5,3,1,7,4] => 1011101 => 1011101 => 0100010
[4,8,7,6,5,2,3,1] => 0111101 => 1011110 => 0100001
[2,1,8,6,4,3,7,5] => 1011101 => 1011101 => 0100010
[2,1,7,6,5,3,8,4] => 1011101 => 1011101 => 0100010
[2,7,6,1,3,5,8,4] => 0110001 => 1000110 => 0111001
[7,2,5,4,6,1,8,3] => 1010101 => 1010101 => 0101010
[4,7,6,1,2,5,8,3] => 0110001 => 1000110 => 0111001
[2,4,1,7,6,8,5,3] => 0101011 => 1101010 => 0010101
[3,4,1,7,8,5,6,2] => 0100101 => 1010010 => 0101101
[7,5,4,3,1,8,6,2] => 1111011 => 1101111 => 0010000
[8,5,6,2,7,3,1,4] => 1010110 => 0110101 => 1001010
[8,4,2,5,6,1,7,3] => 1100101 => 1010011 => 0101100
[6,3,5,4,1,7,8,2] => 1011001 => 1001101 => 0110010
[4,1,3,6,7,5,8,2] => 1000101 => 1010001 => 0101110
[1,7,5,3,8,2,4,6] => 0110100 => 0010110 => 1101001
[1,7,2,4,5,8,3,6] => 0100010 => 0100010 => 1011101
[8,2,5,3,1,6,4,7] => 1011010 => 0101101 => 1010010
[1,7,4,5,8,3,2,6] => 0100110 => 0110010 => 1001101
[2,6,4,7,8,3,5,1] => 0100101 => 1010010 => 0101101
[2,6,4,7,8,3,1,5] => 0100110 => 0110010 => 1001101
[1,2,6,4,7,8,3,5] => 0010010 => 0100100 => 1011011
[2,7,4,5,8,1,3,6] => 0100100 => 0010010 => 1101101
[2,7,5,3,1,8,4,6] => 0111010 => 0101110 => 1010001
[6,1,4,7,8,3,5,2] => 1000101 => 1010001 => 0101110
[3,6,4,7,8,1,5,2] => 0100101 => 1010010 => 0101101
[4,3,6,7,1,8,5,2] => 1001011 => 1101001 => 0010110
[4,3,6,7,1,8,2,5] => 1001010 => 0101001 => 1010110
[3,6,4,7,8,1,2,5] => 0100100 => 0010010 => 1101101
[2,3,6,4,1,7,8,5] => 0011001 => 1001100 => 0110011
[4,7,2,1,5,3,8,6] => 0110101 => 1010110 => 0101001
[3,7,4,5,2,1,8,6] => 0101101 => 1011010 => 0100101
[1,3,6,4,7,2,8,5] => 0010101 => 1010100 => 0101011
[3,6,4,7,2,8,5,1] => 0101011 => 1101010 => 0010101
[5,1,3,4,2,7,8,6] => 1001001 => 1001001 => 0110110
[5,4,2,1,3,7,8,6] => 1110001 => 1000111 => 0111000
[6,1,7,3,8,2,5,4] => 1010101 => 1010101 => 0101010
[1,6,7,3,8,2,5,4] => 0010101 => 1010100 => 0101011
[6,1,4,7,8,5,2,3] => 1000110 => 0110001 => 1001110
[6,3,2,1,7,8,5,4] => 1110011 => 1100111 => 0011000
[6,2,7,3,1,8,5,4] => 1011011 => 1101101 => 0010010
[6,2,4,7,8,1,5,3] => 1000101 => 1010001 => 0101110
[2,6,7,3,1,8,5,4] => 0011011 => 1101100 => 0010011
[8,6,5,1,3,2,4,7] => 1110100 => 0010111 => 1101000
[6,4,7,8,3,2,5,1] => 1001101 => 1011001 => 0100110
[3,8,4,7,1,2,5,6] => 0101000 => 0001010 => 1110101
[8,6,1,2,5,4,3,7] => 1100110 => 0110011 => 1001100
[4,8,6,1,5,3,2,7] => 0110110 => 0110110 => 1001001
[5,8,6,4,1,3,2,7] => 0111010 => 0101110 => 1010001
[8,3,6,4,5,2,1,7] => 1010110 => 0110101 => 1001010
[6,8,5,7,4,2,3,1] => 0101101 => 1011010 => 0100101
[2,3,8,7,1,6,4,5] => 0011010 => 0101100 => 1010011
[4,3,7,8,1,6,2,5] => 1001010 => 0101001 => 1010110
[3,5,8,7,4,1,2,6] => 0011100 => 0011100 => 1100011
[7,3,8,4,1,2,5,6] => 1011000 => 0001101 => 1110010
[4,8,1,2,7,3,5,6] => 0100100 => 0010010 => 1101101
[6,8,1,2,7,4,5,3] => 0100101 => 1010010 => 0101101
[5,6,8,4,1,3,7,2] => 0011001 => 1001100 => 0110011
[8,5,4,7,1,6,3,2] => 1101011 => 1101011 => 0010100
[2,5,8,7,3,6,4,1] => 0011011 => 1101100 => 0010011
[2,4,8,7,5,6,1,3] => 0011010 => 0101100 => 1010011
[3,7,4,8,5,6,2,1] => 0101011 => 1101010 => 0010101
[6,4,8,7,5,1,2,3] => 1011100 => 0011101 => 1100010
[3,8,5,2,4,6,7,1] => 0110001 => 1000110 => 0111001
[5,7,1,8,4,6,2,3] => 0101010 => 0101010 => 1010101
[6,3,8,7,2,1,4,5] => 1011100 => 0011101 => 1100010
[2,3,7,8,5,6,1,4] => 0001010 => 0101000 => 1010111
[3,7,6,8,5,1,2,4] => 0101100 => 0011010 => 1100101
[2,6,7,8,5,1,3,4] => 0001100 => 0011000 => 1100111
[2,4,7,8,1,6,3,5] => 0001010 => 0101000 => 1010111
[5,4,7,8,2,6,3,1] => 1001011 => 1101001 => 0010110
[2,8,3,4,1,5,7,6] => 0101001 => 1001010 => 0110101
[6,8,3,4,1,2,7,5] => 0101001 => 1001010 => 0110101
[6,8,7,1,5,2,3,4] => 0110100 => 0010110 => 1101001
[5,8,3,2,7,6,1,4] => 0110110 => 0110110 => 1001001
[2,5,3,1,8,6,7,4] => 0110101 => 1010110 => 0101001
[4,5,3,2,8,6,7,1] => 0110101 => 1010110 => 0101001
[3,5,8,6,1,4,7,2] => 0011001 => 1001100 => 0110011
[2,8,5,6,1,4,7,3] => 0101001 => 1001010 => 0110101
[4,8,6,1,5,2,7,3] => 0110101 => 1010110 => 0101001
[5,8,2,3,7,6,1,4] => 0100110 => 0110010 => 1001101
[4,6,8,5,3,2,7,1] => 0011101 => 1011100 => 0100011
[2,6,4,8,5,1,7,3] => 0101101 => 1011010 => 0100101
[7,6,4,8,5,2,1,3] => 1101110 => 0111011 => 1000100
[3,4,8,6,5,2,7,1] => 0011101 => 1011100 => 0100011
[3,4,8,7,5,6,2,1] => 0011011 => 1101100 => 0010011
[7,5,3,2,8,6,1,4] => 1110110 => 0110111 => 1001000
[2,5,1,3,8,6,7,4] => 0100101 => 1010010 => 0101101
[4,5,1,2,8,6,7,3] => 0100101 => 1010010 => 0101101
[5,4,8,1,3,6,7,2] => 1010001 => 1000101 => 0111010
[8,3,5,4,1,6,7,2] => 1011001 => 1001101 => 0110010
[7,3,4,8,5,6,1,2] => 1001010 => 0101001 => 1010110
[6,1,5,7,2,4,8,3] => 1001001 => 1001001 => 0110110
[7,4,5,1,2,3,8,6] => 1010001 => 1000101 => 0111010
[7,4,3,1,2,8,5,6] => 1110010 => 0100111 => 1011000
[8,4,7,6,2,1,5,3] => 1011101 => 1011101 => 0100010
[8,4,6,5,7,1,3,2] => 1010101 => 1010101 => 0101010
[7,2,1,4,5,8,3,6] => 1100010 => 0100011 => 1011100
[7,4,1,6,3,5,8,2] => 1101001 => 1001011 => 0110100
[3,5,7,6,4,1,8,2] => 0011101 => 1011100 => 0100011
[4,7,5,2,1,3,8,6] => 0111001 => 1001110 => 0110001
[5,7,2,3,6,4,8,1] => 0100101 => 1010010 => 0101101
[8,6,2,3,7,1,4,5] => 1100100 => 0010011 => 1101100
[5,7,2,4,8,3,6,1] => 0100101 => 1010010 => 0101101
[1,7,2,4,8,6,3,5] => 0100110 => 0110010 => 1001101
[7,6,1,5,4,8,3,2] => 1101011 => 1101011 => 0010100
[4,7,3,2,1,8,5,6] => 0111010 => 0101110 => 1010001
[3,1,7,2,5,8,4,6] => 1010010 => 0100101 => 1011010
[4,8,7,6,1,2,5,3] => 0111001 => 1001110 => 0110001
[7,8,6,1,3,2,5,4] => 0110101 => 1010110 => 0101001
[2,8,6,7,4,1,3,5] => 0101100 => 0011010 => 1100101
[5,8,6,4,2,3,1,7] => 0111010 => 0101110 => 1010001
[2,8,3,1,6,5,4,7] => 0110110 => 0110110 => 1001001
[3,8,1,2,5,7,4,6] => 0100010 => 0100010 => 1011101
[6,8,5,4,2,7,3,1] => 0111011 => 1101110 => 0010001
[6,8,3,1,2,4,5,7] => 0110000 => 0000110 => 1111001
[4,6,8,7,3,1,5,2] => 0011101 => 1011100 => 0100011
[6,5,3,7,8,4,1,2] => 1100110 => 0110011 => 1001100
[4,1,3,8,7,5,6,2] => 1001101 => 1011001 => 0100110
[6,2,7,4,8,1,3,5] => 1010100 => 0010101 => 1101010
[8,4,5,2,1,6,3,7] => 1011010 => 0101101 => 1010010
[4,3,2,6,8,1,7,5] => 1100101 => 1010011 => 0101100
[7,1,5,6,3,8,2,4] => 1001010 => 0101001 => 1010110
[5,1,2,4,7,8,3,6] => 1000010 => 0100001 => 1011110
[3,5,4,2,8,1,6,7] => 0110100 => 0010110 => 1101001
[5,1,3,8,4,2,7,6] => 1001101 => 1011001 => 0100110
[6,2,8,7,3,5,4,1] => 1011011 => 1101101 => 0010010
[7,1,8,4,3,6,5,2] => 1011011 => 1101101 => 0010010
[3,6,8,7,4,1,2,5] => 0011100 => 0011100 => 1100011
[5,6,8,1,7,3,2,4] => 0010110 => 0110100 => 1001011
[3,1,6,8,7,4,2,5] => 1001110 => 0111001 => 1000110
[7,4,6,8,2,1,5,3] => 1001101 => 1011001 => 0100110
[6,5,8,4,3,1,2,7] => 1011100 => 0011101 => 1100010
[2,5,8,3,6,7,4,1] => 0010011 => 1100100 => 0011011
[8,5,1,3,7,4,6,2] => 1100101 => 1010011 => 0101100
[1,5,8,3,7,4,2,6] => 0010110 => 0110100 => 1001011
[3,8,2,7,1,5,6,4] => 0101001 => 1001010 => 0110101
[5,8,2,3,6,4,1,7] => 0100110 => 0110010 => 1001101
[6,8,2,3,4,7,5,1] => 0100011 => 1100010 => 0011101
[7,5,1,8,4,2,6,3] => 1101101 => 1011011 => 0100100
[3,6,8,5,2,7,4,1] => 0011011 => 1101100 => 0010011
[2,1,6,5,4,8,3,7] => 1011010 => 0101101 => 1010010
[2,1,7,8,4,6,5,3] => 1001011 => 1101001 => 0010110
[2,1,7,4,3,5,8,6] => 1011001 => 1001101 => 0110010
[3,5,7,8,4,6,1,2] => 0001010 => 0101000 => 1010111
[7,5,2,8,4,6,3,1] => 1101011 => 1101011 => 0010100
[7,8,2,4,3,1,5,6] => 0101100 => 0011010 => 1100101
[7,6,3,8,1,5,4,2] => 1101011 => 1101011 => 0010100
[8,4,3,1,7,5,2,6] => 1110110 => 0110111 => 1001000
[7,3,1,4,6,8,5,2] => 1100011 => 1100011 => 0011100
[4,3,8,7,1,6,5,2] => 1011011 => 1101101 => 0010010
[4,7,1,8,5,2,6,3] => 0101101 => 1011010 => 0100101
[5,2,4,3,6,8,1,7] => 1010010 => 0100101 => 1011010
[3,8,6,5,4,1,2,7] => 0111100 => 0011110 => 1100001
[4,7,5,6,3,8,2,1] => 0101011 => 1101010 => 0010101
[4,2,7,5,8,3,6,1] => 1010101 => 1010101 => 0101010
[5,8,2,7,3,4,6,1] => 0101001 => 1001010 => 0110101
[6,7,2,4,5,3,8,1] => 0100101 => 1010010 => 0101101
[6,3,2,1,4,8,5,7] => 1110010 => 0100111 => 1011000
[6,2,3,1,4,7,8,5] => 1010001 => 1000101 => 0111010
[5,2,1,3,6,4,8,7] => 1100101 => 1010011 => 0101100
[7,1,8,3,5,4,6,2] => 1010101 => 1010101 => 0101010
[7,1,2,4,8,5,6,3] => 1000101 => 1010001 => 0101110
[7,2,1,3,4,5,8,6] => 1100001 => 1000011 => 0111100
[8,7,3,5,4,2,1,6] => 1101110 => 0111011 => 1000100
[8,4,6,5,3,2,1,7] => 1011110 => 0111101 => 1000010
[5,1,6,4,3,2,8,7] => 1011101 => 1011101 => 0100010
[8,3,7,1,4,6,5,2] => 1010011 => 1100101 => 0011010
[2,8,3,6,4,7,5,1] => 0101011 => 1101010 => 0010101
[6,2,1,7,5,8,3,4] => 1101010 => 0101011 => 1010100
[6,3,8,7,5,2,1,4] => 1011110 => 0111101 => 1000010
[6,7,2,1,5,8,4,3] => 0110011 => 1100110 => 0011001
[9,1,8,7,6,5,4,3,2] => 10111111 => 11111101 => 00000010
[7,6,8,1,5,4,3,2] => 1010111 => 1110101 => 0001010
[7,1,9,8,6,5,4,3,2] => 10111111 => 11111101 => 00000010
[6,1,9,8,7,5,4,3,2] => 10111111 => 11111101 => 00000010
[5,4,8,7,6,1,3,2] => 1011101 => 1011101 => 0100010
[5,1,9,8,7,6,4,3,2] => 10111111 => 11111101 => 00000010
[4,1,9,8,7,6,5,3,2] => 10111111 => 11111101 => 00000010
[3,1,9,8,7,6,5,4,2] => 10111111 => 11111101 => 00000010
[10,1,9,8,7,6,5,4,3,2] => 101111111 => 111111101 => 000000010
[9,8,1,7,6,5,4,3,2] => 11011111 => 11111011 => 00000100
[7,6,1,8,5,4,3,2] => 1101111 => 1111011 => 0000100
[8,7,9,1,6,5,4,3,2] => 10101111 => 11110101 => 00001010
[8,1,10,9,7,6,5,4,3,2] => 101111111 => 111111101 => 000000010
[6,5,8,1,7,4,3,2] => 1010111 => 1110101 => 0001010
[7,6,9,8,1,5,4,3,2] => 10110111 => 11101101 => 00010010
[7,1,10,9,8,6,5,4,3,2] => 101111111 => 111111101 => 000000010
[6,5,9,8,7,1,4,3,2] => 10111011 => 11011101 => 00100010
[6,1,10,9,8,7,5,4,3,2] => 101111111 => 111111101 => 000000010
[6,5,8,7,4,1,3,2] => 1011101 => 1011101 => 0100010
[5,4,9,8,7,6,1,3,2] => 10111101 => 10111101 => 01000010
[5,1,10,9,8,7,6,4,3,2] => 101111111 => 111111101 => 000000010
[4,3,9,8,7,6,5,1,2] => 10111110 => 01111101 => 10000010
[4,1,10,9,8,7,6,5,3,2] => 101111111 => 111111101 => 000000010
[3,2,9,8,7,6,5,4,1] => 10111111 => 11111101 => 00000010
[3,1,10,9,8,7,6,5,4,2] => 101111111 => 111111101 => 000000010
[1,6,4,8,3,2,5,7] => 0101100 => 0011010 => 1100101
[1,8,3,5,6,2,4,7] => 0100100 => 0010010 => 1101101
[1,4,8,5,6,2,3,7] => 0010100 => 0010100 => 1101011
[1,2,8,5,3,7,4,6] => 0011010 => 0101100 => 1010011
[6,1,4,8,2,3,5,7] => 1001000 => 0001001 => 1110110
[8,7,2,5,6,1,4,3] => 1100101 => 1010011 => 0101100
[1,8,2,5,4,7,3,6] => 0101010 => 0101010 => 1010101
[5,7,4,1,2,3,8,6] => 0110001 => 1000110 => 0111001
[1,7,4,2,5,3,8,6] => 0110101 => 1010110 => 0101001
[6,7,4,2,1,3,8,5] => 0111001 => 1001110 => 0110001
[6,4,3,8,5,7,1,2] => 1101010 => 0101011 => 1010100
[7,4,3,6,2,1,5,8] => 1101100 => 0011011 => 1100100
[6,8,4,2,3,1,5,7] => 0110100 => 0010110 => 1101001
[3,7,5,2,4,1,6,8] => 0110100 => 0010110 => 1101001
[5,2,8,6,1,3,4,7] => 1011000 => 0001101 => 1110010
[7,4,8,2,3,1,5,6] => 1010100 => 0010101 => 1101010
[4,2,7,3,1,5,6,8] => 1011000 => 0001101 => 1110010
[7,6,4,5,1,8,2,3] => 1101010 => 0101011 => 1010100
[8,6,4,1,3,7,2,5] => 1110010 => 0100111 => 1011000
[5,3,6,1,8,2,4,7] => 1010100 => 0010101 => 1101010
[3,1,8,5,4,7,6,2] => 1011011 => 1101101 => 0010010
[4,1,5,8,3,7,6,2] => 1001011 => 1101001 => 0010110
[4,1,5,3,8,7,6,2] => 1010111 => 1110101 => 0001010
[4,5,1,8,2,7,6,3] => 0101011 => 1101010 => 0010101
[4,8,5,3,1,7,6,2] => 0111011 => 1101110 => 0010001
[4,5,2,8,1,7,6,3] => 0101011 => 1101010 => 0010101
[4,5,2,1,8,7,6,3] => 0110111 => 1110110 => 0001001
[5,6,2,7,8,1,4,3] => 0100101 => 1010010 => 0101101
[4,6,2,8,7,1,5,3] => 0101101 => 1011010 => 0100101
[4,8,6,3,7,1,5,2] => 0110101 => 1010110 => 0101001
[4,8,6,3,7,5,1,2] => 0110110 => 0110110 => 1001001
[4,6,8,2,7,5,1,3] => 0010110 => 0110100 => 1001011
[4,6,2,8,7,5,1,3] => 0101110 => 0111010 => 1000101
[5,6,2,7,4,1,8,3] => 0101101 => 1011010 => 0100101
[5,6,7,2,3,1,8,4] => 0010101 => 1010100 => 0101011
[5,6,7,2,8,3,1,4] => 0010110 => 0110100 => 1001011
[5,6,7,2,1,8,3,4] => 0011010 => 0101100 => 1010011
[5,6,7,2,1,3,8,4] => 0011001 => 1001100 => 0110011
[5,6,1,7,8,2,4,3] => 0100101 => 1010010 => 0101101
[5,6,1,7,2,4,8,3] => 0101001 => 1001010 => 0110101
[5,1,6,7,8,3,4,2] => 1000101 => 1010001 => 0101110
[4,1,6,8,7,3,5,2] => 1001101 => 1011001 => 0100110
[3,1,8,6,7,5,4,2] => 1010111 => 1110101 => 0001010
[4,1,6,8,7,5,3,2] => 1001111 => 1111001 => 0000110
[5,1,6,7,4,8,3,2] => 1001011 => 1101001 => 0010110
[5,6,1,7,8,4,2,3] => 0100110 => 0110010 => 1001101
[4,6,8,1,7,5,2,3] => 0010110 => 0110100 => 1001011
[4,8,6,1,7,5,3,2] => 0110111 => 1110110 => 0001001
[5,6,7,1,8,3,2,4] => 0010110 => 0110100 => 1001011
[5,6,7,1,3,8,2,4] => 0010010 => 0100100 => 1011011
[5,6,7,1,3,2,8,4] => 0010101 => 1010100 => 0101011
[5,6,7,3,1,2,8,4] => 0011001 => 1001100 => 0110011
[5,6,7,3,8,1,2,4] => 0010100 => 0010100 => 1101011
[5,6,8,7,4,2,1,3] => 0011110 => 0111100 => 1000011
[5,6,7,3,8,2,1,4] => 0010110 => 0110100 => 1001011
[7,4,6,2,3,5,1,8] => 1010010 => 0100101 => 1011010
[1,4,8,6,3,2,5,7] => 0011100 => 0011100 => 1100011
[7,4,1,6,3,8,5,2] => 1101011 => 1101011 => 0010100
[7,6,3,1,5,8,4,2] => 1110011 => 1100111 => 0011000
[6,4,2,5,7,3,1,8] => 1100110 => 0110011 => 1001100
[4,2,5,7,6,3,1,8] => 1001110 => 0111001 => 1000110
[7,4,5,6,1,8,3,2] => 1001011 => 1101001 => 0010110
[4,1,5,8,6,3,2,7] => 1001110 => 0111001 => 1000110
[3,2,7,6,1,8,5,4] => 1011011 => 1101101 => 0010010
[4,7,5,1,6,8,2,3] => 0110010 => 0100110 => 1011001
[8,6,5,1,2,7,4,3] => 1110011 => 1100111 => 0011000
[3,2,5,1,4,8,7,6] => 1010011 => 1100101 => 0011010
[8,5,4,1,3,2,7,6] => 1110101 => 1010111 => 0101000
[1,4,2,3,6,8,7,5] => 0100011 => 1100010 => 0011101
[5,4,8,3,7,1,6,2] => 1010101 => 1010101 => 0101010
[4,7,1,8,2,5,3,6] => 0101010 => 0101010 => 1010101
[6,4,1,8,5,3,7,2] => 1101101 => 1011011 => 0100100
[8,4,6,1,3,5,2,7] => 1010010 => 0100101 => 1011010
[3,2,5,4,7,8,1,6] => 1010010 => 0100101 => 1011010
[5,2,4,3,7,8,1,6] => 1010010 => 0100101 => 1011010
[8,1,6,7,2,5,3,4] => 1001010 => 0101001 => 1010110
[3,1,7,6,5,8,2,4] => 1011010 => 0101101 => 1010010
[1,2,7,5,6,8,3,4] => 0010010 => 0100100 => 1011011
[6,1,4,7,2,8,3,5] => 1001010 => 0101001 => 1010110
[3,2,1,7,6,8,4,5] => 1101010 => 0101011 => 1010100
[3,2,8,6,4,7,1,5] => 1011010 => 0101101 => 1010010
[7,8,4,6,3,2,1,5] => 0101110 => 0111010 => 1000101
[1,8,6,5,3,7,2,4] => 0111010 => 0101110 => 1010001
[8,2,5,3,6,7,1,4] => 1010010 => 0100101 => 1011010
[3,8,5,2,7,6,1,4] => 0110110 => 0110110 => 1001001
[4,7,5,3,1,8,6,2] => 0111011 => 1101110 => 0010001
[4,5,3,6,8,1,7,2] => 0100101 => 1010010 => 0101101
[3,5,2,6,1,8,7,4] => 0101011 => 1101010 => 0010101
[1,6,3,5,7,2,8,4] => 0100101 => 1010010 => 0101101
[1,5,4,6,7,8,2,3] => 0100010 => 0100010 => 1011101
[8,4,6,5,7,2,1,3] => 1010110 => 0110101 => 1001010
[7,4,5,2,6,8,1,3] => 1010010 => 0100101 => 1011010
[5,4,2,6,8,7,1,3] => 1100110 => 0110011 => 1001100
[7,8,4,3,1,2,6,5] => 0111001 => 1001110 => 0110001
[6,5,1,4,3,2,8,7] => 1101101 => 1011011 => 0100100
[2,6,5,1,4,7,3,8] => 0110010 => 0100110 => 1011001
[3,6,4,5,2,1,8,7] => 0101101 => 1011010 => 0100101
[5,7,4,1,3,8,6,2] => 0110011 => 1100110 => 0011001
[7,5,4,2,3,8,1,6] => 1110010 => 0100111 => 1011000
[5,2,6,7,3,1,4,8] => 1001100 => 0011001 => 1100110
[2,4,3,8,6,1,5,7] => 0101100 => 0011010 => 1100101
[7,8,1,3,5,6,2,4] => 0100010 => 0100010 => 1011101
[7,8,3,1,5,6,2,4] => 0110010 => 0100110 => 1011001
[7,1,3,8,5,6,2,4] => 1001010 => 0101001 => 1010110
[1,7,8,3,5,6,2,4] => 0010010 => 0100100 => 1011011
[5,1,7,8,3,4,6,2] => 1001001 => 1001001 => 0110110
[1,5,7,8,3,4,6,2] => 0001001 => 1001000 => 0110111
[3,7,1,5,8,6,2,4] => 0100110 => 0110010 => 1001101
[1,3,7,8,2,5,6,4] => 0001001 => 1001000 => 0110111
[3,1,7,8,5,2,6,4] => 1001101 => 1011001 => 0100110
[1,3,7,5,8,2,6,4] => 0010101 => 1010100 => 0101011
[3,1,7,5,8,2,6,4] => 1010101 => 1010101 => 0101010
[3,5,7,1,8,4,6,2] => 0010101 => 1010100 => 0101011
[3,5,7,8,1,4,6,2] => 0001001 => 1001000 => 0110111
[5,3,7,8,4,6,1,2] => 1001010 => 0101001 => 1010110
[5,3,7,8,4,1,6,2] => 1001101 => 1011001 => 0100110
[5,3,7,8,1,4,6,2] => 1001001 => 1001001 => 0110110
[5,3,7,1,8,4,6,2] => 1010101 => 1010101 => 0101010
[1,5,3,7,8,4,2,6] => 0100110 => 0110010 => 1001101
[5,1,3,7,8,4,2,6] => 1000110 => 0110001 => 1001110
[3,6,2,1,4,5,8,7] => 0110001 => 1000110 => 0111001
[4,6,2,5,1,3,8,7] => 0101001 => 1001010 => 0110101
[6,4,2,5,1,3,8,7] => 1101001 => 1001011 => 0110100
[8,6,1,7,3,2,4,5] => 1101100 => 0011011 => 1100100
[2,5,8,1,7,3,4,6] => 0010100 => 0010100 => 1101011
[6,8,2,7,3,1,4,5] => 0101100 => 0011010 => 1100101
[6,8,2,3,7,1,4,5] => 0100100 => 0010010 => 1101101
[8,6,2,7,4,5,1,3] => 1101010 => 0101011 => 1010100
[5,2,8,1,7,3,4,6] => 1010100 => 0010101 => 1101010
[4,2,3,8,1,5,6,7] => 1001000 => 0001001 => 1110110
[5,2,8,3,7,1,4,6] => 1010100 => 0010101 => 1101010
[5,2,8,4,6,1,3,7] => 1010100 => 0010101 => 1101010
[2,1,5,8,4,3,6,7] => 1001100 => 0011001 => 1100110
[5,8,3,2,7,1,4,6] => 0110100 => 0010110 => 1101001
[4,1,3,8,2,5,6,7] => 1001000 => 0001001 => 1110110
[3,5,8,2,7,1,4,6] => 0010100 => 0010100 => 1101011
[4,5,8,2,6,1,3,7] => 0010100 => 0010100 => 1101011
[2,6,8,3,7,1,4,5] => 0010100 => 0010100 => 1101011
[5,1,8,3,7,2,4,6] => 1010100 => 0010101 => 1101010
[5,1,8,4,6,2,3,7] => 1010100 => 0010101 => 1101010
[5,8,4,1,6,2,3,7] => 0110100 => 0010110 => 1101001
[4,5,8,1,6,2,3,7] => 0010100 => 0010100 => 1101011
[5,4,8,1,6,2,3,7] => 1010100 => 0010101 => 1101010
[4,8,5,1,6,2,3,7] => 0110100 => 0010110 => 1101001
[2,1,5,4,8,3,6,7] => 1010100 => 0010101 => 1101010
[2,4,3,8,1,5,6,7] => 0101000 => 0001010 => 1110101
[3,1,8,4,2,5,6,7] => 1011000 => 0001101 => 1110010
[3,8,4,2,1,5,6,7] => 0111000 => 0001110 => 1110001
[2,3,8,4,1,5,6,7] => 0011000 => 0001100 => 1110011
[3,4,2,8,1,5,6,7] => 0101000 => 0001010 => 1110101
[3,8,5,2,7,1,4,6] => 0110100 => 0010110 => 1101001
[4,8,5,2,6,1,3,7] => 0110100 => 0010110 => 1101001
[2,1,4,8,5,3,6,7] => 1001100 => 0011001 => 1100110
[3,2,8,4,1,5,6,7] => 1011000 => 0001101 => 1110010
[2,8,4,3,1,5,6,7] => 0111000 => 0001110 => 1110001
[4,1,7,5,6,2,8,3] => 1010101 => 1010101 => 0101010
[5,7,4,3,8,1,6,2] => 0110101 => 1010110 => 0101001
[5,7,4,3,8,2,6,1] => 0110101 => 1010110 => 0101001
[3,8,4,2,6,7,5,1] => 0110011 => 1100110 => 0011001
[3,8,4,1,6,7,5,2] => 0110011 => 1100110 => 0011001
[6,1,7,5,2,8,4,3] => 1011011 => 1101101 => 0010010
[5,6,4,3,2,8,1,7] => 0111010 => 0101110 => 1010001
[2,6,7,5,3,8,4,1] => 0011011 => 1101100 => 0010011
[6,7,4,8,2,5,3,1] => 0101011 => 1101010 => 0010101
[2,1,6,7,5,3,8,4] => 1001101 => 1011001 => 0100110
[3,8,4,2,1,6,7,5] => 0111001 => 1001110 => 0110001
[5,7,4,3,8,2,1,6] => 0110110 => 0110110 => 1001001
[6,7,4,8,1,2,5,3] => 0101001 => 1001010 => 0110101
[6,7,5,8,1,2,4,3] => 0101001 => 1001010 => 0110101
[6,7,4,8,3,1,2,5] => 0101100 => 0011010 => 1100101
[3,4,8,1,2,5,7,6] => 0010001 => 1000100 => 0111011
[6,1,3,4,8,2,5,7] => 1000100 => 0010001 => 1101110
[6,2,3,4,8,1,5,7] => 1000100 => 0010001 => 1101110
[3,4,8,2,1,5,7,6] => 0011001 => 1001100 => 0110011
[6,7,5,8,2,4,3,1] => 0101011 => 1101010 => 0010101
[6,7,5,8,3,1,4,2] => 0101101 => 1011010 => 0100101
[3,4,8,1,5,7,6,2] => 0010011 => 1100100 => 0011011
[2,5,7,6,1,4,8,3] => 0011001 => 1001100 => 0110011
[6,7,4,8,2,3,5,1] => 0101001 => 1001010 => 0110101
[6,7,4,8,1,3,5,2] => 0101001 => 1001010 => 0110101
[2,6,7,5,1,3,8,4] => 0011001 => 1001100 => 0110011
[6,3,1,4,8,2,5,7] => 1100100 => 0010011 => 1101100
[6,7,4,8,1,3,2,5] => 0101010 => 0101010 => 1010101
[6,7,5,8,4,1,3,2] => 0101101 => 1011010 => 0100101
[6,7,4,8,2,1,3,5] => 0101100 => 0011010 => 1100101
[6,7,4,8,1,2,3,5] => 0101000 => 0001010 => 1110101
[1,5,6,3,4,8,2,7] => 0010010 => 0100100 => 1011011
[1,4,3,6,5,8,2,7] => 0101010 => 0101010 => 1010101
[8,1,3,4,7,2,6,5] => 1000101 => 1010001 => 0101110
[5,1,7,3,4,8,2,6] => 1010010 => 0100101 => 1011010
[6,7,8,2,3,5,4,1] => 0010011 => 1100100 => 0011011
[5,8,6,2,3,7,4,1] => 0110011 => 1100110 => 0011001
[2,8,3,4,7,5,6,1] => 0100101 => 1010010 => 0101101
[1,8,3,4,7,6,2,5] => 0100110 => 0110010 => 1001101
[8,7,2,3,6,5,4,1] => 1100111 => 1110011 => 0001100
[3,8,1,7,5,2,6,4] => 0101101 => 1011010 => 0100101
[4,8,1,6,7,2,5,3] => 0100101 => 1010010 => 0101101
[2,1,3,8,4,6,5,7] => 1001010 => 0101001 => 1010110
[8,2,1,7,4,3,6,5] => 1101101 => 1011011 => 0100100
[1,3,2,8,5,4,6,7] => 0101100 => 0011010 => 1100101
[8,3,1,5,7,2,6,4] => 1100101 => 1010011 => 0101100
[8,4,5,1,7,2,6,3] => 1010101 => 1010101 => 0101010
[1,5,6,8,7,4,2,3] => 0001110 => 0111000 => 1000111
[8,4,5,7,6,3,2,1] => 1001111 => 1111001 => 0000110
[1,4,8,5,7,6,2,3] => 0010110 => 0110100 => 1001011
[2,4,8,5,7,3,6,1] => 0010101 => 1010100 => 0101011
[4,3,8,6,5,7,2,1] => 1011011 => 1101101 => 0010010
[6,7,2,8,5,3,4,1] => 0101101 => 1011010 => 0100101
[5,2,7,8,6,3,4,1] => 1001101 => 1011001 => 0100110
[4,2,8,6,7,3,5,1] => 1010101 => 1010101 => 0101010
[3,2,8,7,5,4,6,1] => 1011101 => 1011101 => 0100010
[3,1,8,7,5,6,2,4] => 1011010 => 0101101 => 1010010
[4,1,8,6,7,5,2,3] => 1010110 => 0110101 => 1001010
[5,1,7,8,6,4,2,3] => 1001110 => 0111001 => 1000110
[6,7,1,8,5,4,2,3] => 0101110 => 0111010 => 1000101
[7,8,3,2,6,1,4,5] => 0110100 => 0010110 => 1101001
[3,4,8,2,6,1,7,5] => 0010101 => 1010100 => 0101011
[7,8,4,1,5,6,3,2] => 0110011 => 1100110 => 0011001
[7,8,1,4,5,6,3,2] => 0100011 => 1100010 => 0011101
[7,8,1,2,6,3,4,5] => 0100100 => 0010010 => 1101101
[7,8,5,1,4,6,3,2] => 0110011 => 1100110 => 0011001
[7,8,4,5,1,6,3,2] => 0101011 => 1101010 => 0010101
[5,3,8,4,1,6,7,2] => 1011001 => 1001101 => 0110010
[6,2,4,8,1,5,3,7] => 1001010 => 0101001 => 1010110
[3,4,8,5,1,6,7,2] => 0011001 => 1001100 => 0110011
[3,5,8,1,4,6,7,2] => 0010001 => 1000100 => 0111011
[1,4,8,2,6,3,7,5] => 0010101 => 1010100 => 0101011
[5,3,8,1,4,6,7,2] => 1010001 => 1000101 => 0111010
[4,2,6,8,1,5,3,7] => 1001010 => 0101001 => 1010110
[7,4,2,8,1,5,3,6] => 1101010 => 0101011 => 1010100
[6,1,7,5,8,4,3,2] => 1010111 => 1110101 => 0001010
[6,2,1,8,4,5,3,7] => 1101010 => 0101011 => 1010100
[1,2,7,8,5,3,4,6] => 0001100 => 0011000 => 1100111
[6,3,7,8,5,4,1,2] => 1001110 => 0111001 => 1000110
[6,1,5,7,8,4,3,2] => 1000111 => 1110001 => 0001110
[1,7,5,6,8,4,3,2] => 0100111 => 1110010 => 0001101
[3,1,8,4,5,6,7,2] => 1010001 => 1000101 => 0111010
[2,1,4,8,6,5,3,7] => 1001110 => 0111001 => 1000110
[2,4,1,8,6,5,3,7] => 0101110 => 0111010 => 1000101
[4,2,1,8,6,5,3,7] => 1101110 => 0111011 => 1000100
[3,2,7,8,5,1,4,6] => 1001100 => 0011001 => 1100110
[2,3,7,8,5,1,4,6] => 0001100 => 0011000 => 1100111
[2,7,3,8,5,1,4,6] => 0101100 => 0011010 => 1100101
[3,6,2,8,5,1,4,7] => 0101100 => 0011010 => 1100101
[4,1,2,8,7,5,3,6] => 1001110 => 0111001 => 1000110
[1,4,2,8,7,5,3,6] => 0101110 => 0111010 => 1000101
[7,3,6,8,5,4,1,2] => 1001110 => 0111001 => 1000110
[7,2,1,8,5,3,4,6] => 1101100 => 0011011 => 1100100
[1,2,6,8,4,5,3,7] => 0001010 => 0101000 => 1010111
[7,1,6,5,8,4,3,2] => 1010111 => 1110101 => 0001010
[6,5,7,1,8,4,3,2] => 1010111 => 1110101 => 0001010
[5,7,6,1,8,4,3,2] => 0110111 => 1110110 => 0001001
[6,7,1,5,8,4,3,2] => 0100111 => 1110010 => 0001101
[6,7,3,8,5,4,1,2] => 0101110 => 0111010 => 1000101
[7,1,2,8,4,5,3,6] => 1001010 => 0101001 => 1010110
[7,6,1,5,8,4,3,2] => 1100111 => 1110011 => 0001100
[7,5,6,1,8,4,3,2] => 1010111 => 1110101 => 0001010
[9,10,7,8,5,6,2,1,3,4] => 010101100 => 001101010 => 110010101
[9,10,7,8,4,3,5,6,1,2] => 010110010 => 010011010 => 101100101
[9,10,7,8,4,2,5,1,3,6] => 010110100 => 001011010 => 110100101
[9,10,7,8,3,2,1,4,5,6] => 010111000 => 000111010 => 111000101
[9,10,6,5,7,8,3,4,1,2] => 011001010 => 010100110 => 101011001
[9,10,6,5,7,8,2,1,3,4] => 011001100 => 001100110 => 110011001
[9,10,6,4,7,3,5,8,1,2] => 011010010 => 010010110 => 101101001
[9,10,6,4,7,2,5,1,3,8] => 011010100 => 001010110 => 110101001
[9,10,6,3,7,2,1,4,5,8] => 011011000 => 000110110 => 111001001
[9,10,5,4,3,6,7,8,1,2] => 011100010 => 010001110 => 101110001
[9,10,5,4,2,6,7,1,3,8] => 011100100 => 001001110 => 110110001
[9,10,5,3,2,6,1,4,7,8] => 011101000 => 000101110 => 111010001
[9,10,4,3,2,1,5,6,7,8] => 011110000 => 000011110 => 111100001
[8,7,9,10,5,6,3,4,1,2] => 100101010 => 010101001 => 101010110
[8,7,9,10,5,6,2,1,3,4] => 100101100 => 001101001 => 110010110
[8,7,9,10,4,3,5,6,1,2] => 100110010 => 010011001 => 101100110
[8,7,9,10,4,2,5,1,3,6] => 100110100 => 001011001 => 110100110
[8,7,9,10,3,2,1,4,5,6] => 100111000 => 000111001 => 111000110
[8,6,9,5,7,10,3,4,1,2] => 101001010 => 010100101 => 101011010
[8,6,9,5,7,10,2,1,3,4] => 101001100 => 001100101 => 110011010
[8,6,9,4,7,3,5,10,1,2] => 101010010 => 010010101 => 101101010
[8,6,9,3,7,2,1,4,5,10] => 101011000 => 000110101 => 111001010
[8,5,9,4,3,6,7,10,1,2] => 101100010 => 010001101 => 101110010
[8,5,9,4,2,6,7,1,3,10] => 101100100 => 001001101 => 110110010
[8,5,9,3,2,6,1,4,7,10] => 101101000 => 000101101 => 111010010
[8,4,9,3,2,1,5,6,7,10] => 101110000 => 000011101 => 111100010
[7,6,5,8,9,10,3,4,1,2] => 110001010 => 010100011 => 101011100
[7,6,5,8,9,10,2,1,3,4] => 110001100 => 001100011 => 110011100
[7,6,4,8,9,3,5,10,1,2] => 110010010 => 010010011 => 101101100
[7,6,4,8,9,2,5,1,3,10] => 110010100 => 001010011 => 110101100
[7,6,3,8,9,2,1,4,5,10] => 110011000 => 000110011 => 111001100
[7,5,4,8,3,6,9,10,1,2] => 110100010 => 010001011 => 101110100
[7,5,4,8,2,6,9,1,3,10] => 110100100 => 001001011 => 110110100
[7,4,3,8,2,1,5,6,9,10] => 110110000 => 000011011 => 111100100
[6,5,4,3,7,8,9,10,1,2] => 111000010 => 010000111 => 101111000
[6,5,4,2,7,8,9,1,3,10] => 111000100 => 001000111 => 110111000
[6,5,3,2,7,8,1,4,9,10] => 111001000 => 000100111 => 111011000
[11,12,9,10,5,3,2,6,1,4,7,8] => 01011101000 => 00010111010 => 11101000101
[11,12,9,10,4,3,2,1,5,6,7,8] => 01011110000 => 00001111010 => 11110000101
[11,12,8,4,9,3,2,1,5,6,7,10] => 01101110000 => 00001110110 => 11110001001
[11,12,7,5,3,8,2,6,1,4,9,10] => 01110101000 => 00010101110 => 11101010001
[11,12,7,4,3,8,2,1,5,6,9,10] => 01110110000 => 00001101110 => 11110010001
[11,12,5,4,3,2,1,6,7,8,9,10] => 01111100000 => 00000111110 => 11111000001
[10,9,11,12,6,4,7,2,5,1,3,8] => 10011010100 => 00101011001 => 11010100110
[10,8,11,6,9,4,7,2,5,1,3,12] => 10101010100 => 00101010101 => 11010101010
[10,8,11,6,9,3,7,2,1,4,5,12] => 10101011000 => 00011010101 => 11100101010
[10,8,11,5,9,4,2,6,7,1,3,12] => 10101100100 => 00100110101 => 11011001010
[10,8,11,5,9,3,2,6,1,4,7,12] => 10101101000 => 00010110101 => 11101001010
[10,8,11,4,9,3,2,1,5,6,7,12] => 10101110000 => 00001110101 => 11110001010
[10,7,11,6,4,8,9,2,5,1,3,12] => 10110010100 => 00101001101 => 11010110010
[10,7,11,6,3,8,9,2,1,4,5,12] => 10110011000 => 00011001101 => 11100110010
[10,7,11,5,4,8,2,6,9,1,3,12] => 10110100100 => 00100101101 => 11011010010
[10,7,11,5,3,8,2,6,1,4,9,12] => 10110101000 => 00010101101 => 11101010010
[10,7,11,4,3,8,2,1,5,6,9,12] => 10110110000 => 00001101101 => 11110010010
[10,6,11,5,4,3,7,8,9,12,1,2] => 10111000010 => 01000011101 => 10111100010
[10,6,11,5,4,2,7,8,9,1,3,12] => 10111000100 => 00100011101 => 11011100010
[10,6,11,5,3,2,7,8,1,4,9,12] => 10111001000 => 00010011101 => 11101100010
[10,6,11,4,3,2,7,1,5,8,9,12] => 10111010000 => 00001011101 => 11110100010
[10,5,11,4,3,2,1,6,7,8,9,12] => 10111100000 => 00000111101 => 11111000010
[9,8,6,10,11,4,7,2,5,1,3,12] => 11001010100 => 00101010011 => 11010101100
[9,8,6,10,11,3,7,2,1,4,5,12] => 11001011000 => 00011010011 => 11100101100
[9,8,5,10,11,4,2,6,7,1,3,12] => 11001100100 => 00100110011 => 11011001100
[9,8,5,10,11,3,2,6,1,4,7,12] => 11001101000 => 00010110011 => 11101001100
[9,8,4,10,11,3,2,1,5,6,7,12] => 11001110000 => 00001110011 => 11110001100
[9,7,6,10,4,8,11,2,5,1,3,12] => 11010010100 => 00101001011 => 11010110100
[9,7,6,10,3,8,11,2,1,4,5,12] => 11010011000 => 00011001011 => 11100110100
[9,7,5,10,4,8,2,6,11,1,3,12] => 11010100100 => 00100101011 => 11011010100
[9,7,5,10,3,8,2,6,1,4,11,12] => 11010101000 => 00010101011 => 11101010100
[9,7,4,10,3,8,2,1,5,6,11,12] => 11010110000 => 00001101011 => 11110010100
[9,6,5,10,4,2,7,8,11,1,3,12] => 11011000100 => 00100011011 => 11011100100
[9,6,5,10,3,2,7,8,1,4,11,12] => 11011001000 => 00010011011 => 11101100100
[9,6,4,10,3,2,7,1,5,8,11,12] => 11011010000 => 00001011011 => 11110100100
[9,5,4,10,3,2,1,6,7,8,11,12] => 11011100000 => 00000111011 => 11111000100
[8,7,6,4,9,10,11,2,5,1,3,12] => 11100010100 => 00101000111 => 11010111000
[8,7,6,3,9,10,11,2,1,4,5,12] => 11100011000 => 00011000111 => 11100111000
[8,7,5,4,9,10,2,6,11,1,3,12] => 11100100100 => 00100100111 => 11011011000
[8,7,5,3,9,10,2,6,1,4,11,12] => 11100101000 => 00010100111 => 11101011000
[8,7,4,3,9,10,2,1,5,6,11,12] => 11100110000 => 00001100111 => 11110011000
[8,6,5,4,9,2,7,10,11,1,3,12] => 11101000100 => 00100010111 => 11011101000
[8,6,5,3,9,2,7,10,1,4,11,12] => 11101001000 => 00010010111 => 11101101000
[8,6,4,3,9,2,7,1,5,10,11,12] => 11101010000 => 00001010111 => 11110101000
[8,5,4,3,9,2,1,6,7,10,11,12] => 11101100000 => 00000110111 => 11111001000
[7,6,5,4,2,8,9,10,11,1,3,12] => 11110000100 => 00100001111 => 11011110000
[7,6,5,3,2,8,9,10,1,4,11,12] => 11110001000 => 00010001111 => 11101110000
[7,6,4,3,2,8,9,1,5,10,11,12] => 11110010000 => 00001001111 => 11110110000
[7,5,4,3,2,8,1,6,9,10,11,12] => 11110100000 => 00000101111 => 11111010000
[6,5,4,3,2,1,7,8,9,10,11,12] => 11111000000 => 00000011111 => 11111100000
[7,1,6,5,3,2,4,8] => 1011100 => 0011101 => 1100010
[1,8,7,5,3,2,4,6] => 0111100 => 0011110 => 1100001
[1,8,7,4,2,5,3,6] => 0111010 => 0101110 => 1010001
[8,7,4,2,5,3,6,1] => 1110101 => 1010111 => 0101000
[7,1,6,4,2,5,3,8] => 1011010 => 0101101 => 1010010
[2,6,5,4,7,1,3,8] => 0110100 => 0010110 => 1101001
[7,1,5,3,6,4,2,8] => 1010110 => 0110101 => 1001010
[5,3,7,1,6,4,2,8] => 1010110 => 0110101 => 1001010
[5,3,6,4,2,7,1,8] => 1011010 => 0101101 => 1010010
[1,5,3,8,7,4,2,6] => 0101110 => 0111010 => 1000101
[7,4,2,8,6,3,5,1] => 1101101 => 1011011 => 0100100
[5,3,6,1,8,7,4,2] => 1010111 => 1110101 => 0001010
[6,1,5,3,8,7,4,2] => 1010111 => 1110101 => 0001010
[2,8,7,5,4,6,1,3] => 0111010 => 0101110 => 1010001
[2,3,1,8,7,5,4,6] => 0101110 => 0111010 => 1000101
[5,3,8,7,4,2,1,6] => 1011110 => 0111101 => 1000010
[7,4,2,1,8,6,3,5] => 1110110 => 0110111 => 1001000
[8,6,3,5,7,4,2,1] => 1100111 => 1110011 => 0001100
[1,8,6,3,5,7,4,2] => 0110011 => 1100110 => 0011001
[6,3,8,5,2,1,7,4] => 1011101 => 1011101 => 0100010
[8,6,3,7,4,2,1,5] => 1101110 => 0111011 => 1000100
[2,8,6,4,7,5,1,3] => 0110110 => 0110110 => 1001001
[5,1,8,6,3,7,4,2] => 1011011 => 1101101 => 0010010
[6,3,7,4,1,8,5,2] => 1011011 => 1101101 => 0010010
[8,5,2,6,3,7,4,1] => 1101011 => 1101011 => 0010100
[6,1,8,7,4,2,5,3] => 1011101 => 1011101 => 0100010
[8,6,3,7,4,2,5,1] => 1101101 => 1011011 => 0100100
[1,8,6,3,2,4,7,5] => 0111001 => 1001110 => 0110001
[8,6,3,2,4,7,5,1] => 1110011 => 1100111 => 0011000
[7,5,1,8,6,3,2,4] => 1101110 => 0111011 => 1000100
[6,1,8,7,5,3,2,4] => 1011110 => 0111101 => 1000010
[4,3,2,8,7,6,1,5] => 1101110 => 0111011 => 1000100
[2,4,5,1,3,8,7,6] => 0010011 => 1100100 => 0011011
[7,5,8,6,3,2,4,1] => 1011101 => 1011101 => 0100010
[1,7,5,8,6,3,2,4] => 0101110 => 0111010 => 1000101
[1,7,4,2,5,8,6,3] => 0110011 => 1100110 => 0011001
[8,6,3,1,7,4,2,5] => 1110110 => 0110111 => 1001000
[8,7,4,2,5,3,1,6] => 1110110 => 0110111 => 1001000
[5,3,1,8,7,4,2,6] => 1101110 => 0111011 => 1000100
[4,1,8,7,5,3,2,6] => 1011110 => 0111101 => 1000010
[2,8,6,4,1,3,7,5] => 0111001 => 1001110 => 0110001
[4,1,8,6,3,2,7,5] => 1011101 => 1011101 => 0100010
[7,4,2,8,6,3,1,5] => 1101110 => 0111011 => 1000100
[6,3,1,8,5,2,7,4] => 1101101 => 1011011 => 0100100
[8,5,2,6,3,1,7,4] => 1101101 => 1011011 => 0100100
[7,4,8,5,2,6,3,1] => 1011011 => 1101101 => 0010010
[1,8,5,2,7,4,6,3] => 0110101 => 1010110 => 0101001
[8,5,2,7,4,6,3,1] => 1101011 => 1101011 => 0010100
[7,4,6,3,1,8,5,2] => 1011011 => 1101101 => 0010010
[6,3,1,7,4,8,5,2] => 1101011 => 1101011 => 0010100
[8,6,3,1,5,7,4,2] => 1110011 => 1100111 => 0011000
[4,1,7,5,8,6,3,2] => 1010111 => 1110101 => 0001010
[2,3,1,7,5,8,6,4] => 0101011 => 1101010 => 0010101
[7,4,8,5,2,1,6,3] => 1011101 => 1011101 => 0100010
[8,5,2,1,7,4,6,3] => 1110101 => 1010111 => 0101000
[1,7,4,6,3,8,5,2] => 0101011 => 1101010 => 0010101
[3,6,5,2,1,4,8,7] => 0111001 => 1001110 => 0110001
[3,5,6,2,1,4,8,7] => 0011001 => 1001100 => 0110011
[3,5,7,8,1,4,2,6] => 0001010 => 0101000 => 1010111
[4,1,8,5,7,3,2,6] => 1010110 => 0110101 => 1001010
[4,1,7,5,8,3,2,6] => 1010110 => 0110101 => 1001010
[2,1,5,8,7,4,3,6] => 1001110 => 0111001 => 1000110
[2,1,5,7,8,4,3,6] => 1000110 => 0110001 => 1001110
[5,1,7,4,8,3,2,6] => 1010110 => 0110101 => 1001010
[4,7,2,8,3,6,1,5] => 0101010 => 0101010 => 1010101
[4,6,2,7,3,1,8,5] => 0101101 => 1011010 => 0100101
[3,7,8,2,4,1,6,5] => 0010101 => 1010100 => 0101011
[3,8,7,2,4,1,6,5] => 0110101 => 1010110 => 0101001
[3,8,6,2,4,1,7,5] => 0110101 => 1010110 => 0101001
[1,3,2,7,6,5,10,9,8,4] => 010110111 => 111011010 => 000100101
[1,4,3,6,5,2,10,9,8,7] => 010110111 => 111011010 => 000100101
[1,4,3,7,6,2,10,9,8,5] => 010110111 => 111011010 => 000100101
[1,5,4,7,6,3,10,9,8,2] => 010110111 => 111011010 => 000100101
[1,4,3,8,7,2,10,9,6,5] => 010110111 => 111011010 => 000100101
[1,5,4,8,7,3,10,9,6,2] => 010110111 => 111011010 => 000100101
[2,3,1,6,5,4,10,9,8,7] => 010110111 => 111011010 => 000100101
[2,3,1,7,6,5,10,9,8,4] => 010110111 => 111011010 => 000100101
[2,4,1,6,5,3,10,9,8,7] => 010110111 => 111011010 => 000100101
[2,4,1,7,6,3,10,9,8,5] => 010110111 => 111011010 => 000100101
[2,5,1,7,6,4,10,9,8,3] => 010110111 => 111011010 => 000100101
[2,4,1,8,7,3,10,9,6,5] => 010110111 => 111011010 => 000100101
[2,5,1,8,7,4,10,9,6,3] => 010110111 => 111011010 => 000100101
[3,4,2,6,5,1,10,9,8,7] => 010110111 => 111011010 => 000100101
[3,4,2,7,6,1,10,9,8,5] => 010110111 => 111011010 => 000100101
[3,5,2,7,6,1,10,9,8,4] => 010110111 => 111011010 => 000100101
[4,5,3,7,6,2,10,9,8,1] => 010110111 => 111011010 => 000100101
[3,4,2,8,7,1,10,9,6,5] => 010110111 => 111011010 => 000100101
[3,5,2,8,7,1,10,9,6,4] => 010110111 => 111011010 => 000100101
[4,5,3,8,7,2,10,9,6,1] => 010110111 => 111011010 => 000100101
[2,5,1,6,4,3,10,9,8,7] => 010110111 => 111011010 => 000100101
[2,5,1,7,4,3,10,9,8,6] => 010110111 => 111011010 => 000100101
[2,6,1,7,5,4,10,9,8,3] => 010110111 => 111011010 => 000100101
[2,5,1,8,4,3,10,9,7,6] => 010110111 => 111011010 => 000100101
[2,6,1,8,5,4,10,9,7,3] => 010110111 => 111011010 => 000100101
[3,5,2,6,4,1,10,9,8,7] => 010110111 => 111011010 => 000100101
[3,5,2,7,4,1,10,9,8,6] => 010110111 => 111011010 => 000100101
[3,6,2,7,5,1,10,9,8,4] => 010110111 => 111011010 => 000100101
[4,6,3,7,5,2,10,9,8,1] => 010110111 => 111011010 => 000100101
[3,5,2,8,4,1,10,9,7,6] => 010110111 => 111011010 => 000100101
[3,6,2,8,5,1,10,9,7,4] => 010110111 => 111011010 => 000100101
[4,6,3,8,5,2,10,9,7,1] => 010110111 => 111011010 => 000100101
[3,7,2,8,6,1,10,9,5,4] => 010110111 => 111011010 => 000100101
[4,7,3,8,6,2,10,9,5,1] => 010110111 => 111011010 => 000100101
[2,5,1,9,4,3,10,8,7,6] => 010110111 => 111011010 => 000100101
[2,6,1,9,5,4,10,8,7,3] => 010110111 => 111011010 => 000100101
[3,5,2,9,4,1,10,8,7,6] => 010110111 => 111011010 => 000100101
[3,6,2,9,5,1,10,8,7,4] => 010110111 => 111011010 => 000100101
[4,6,3,9,5,2,10,8,7,1] => 010110111 => 111011010 => 000100101
[3,7,2,9,6,1,10,8,5,4] => 010110111 => 111011010 => 000100101
[6,2,8,4,1,7,3,5] => 1011010 => 0101101 => 1010010
[7,3,4,8,1,6,2,5] => 1001010 => 0101001 => 1010110
[6,3,4,8,1,7,2,5] => 1001010 => 0101001 => 1010110
[5,3,4,8,1,2,7,6] => 1001001 => 1001001 => 0110110
[4,3,5,8,1,2,7,6] => 1001001 => 1001001 => 0110110
[1,8,5,4,2,3,7,6] => 0111001 => 1001110 => 0110001
[3,5,4,8,1,2,7,6] => 0101001 => 1001010 => 0110101
[4,5,3,8,1,2,7,6] => 0101001 => 1001010 => 0110101
[6,4,3,8,1,7,2,5] => 1101010 => 0101011 => 1010100
[7,4,3,8,1,6,2,5] => 1101010 => 0101011 => 1010100
[6,5,3,8,7,1,2,4] => 1101100 => 0011011 => 1100100
[5,6,3,8,7,1,2,4] => 0101100 => 0011010 => 1100101
[4,6,3,8,1,7,2,5] => 0101010 => 0101010 => 1010101
[2,6,8,4,1,7,3,5] => 0011010 => 0101100 => 1010011
[1,8,7,4,2,6,3,5] => 0111010 => 0101110 => 1010001
[5,7,3,8,6,1,2,4] => 0101100 => 0011010 => 1100101
[3,7,5,8,6,1,2,4] => 0101100 => 0011010 => 1100101
[2,7,8,5,6,1,3,4] => 0010100 => 0010100 => 1101011
[1,8,7,5,6,2,3,4] => 0110100 => 0010110 => 1101001
[2,6,8,5,7,1,3,4] => 0010100 => 0010100 => 1101011
[5,3,6,8,7,1,2,4] => 1001100 => 0011001 => 1100110
[6,3,5,8,7,1,2,4] => 1001100 => 0011001 => 1100110
[7,2,8,5,6,1,3,4] => 1010100 => 0010101 => 1101010
[5,2,8,6,7,1,3,4] => 1010100 => 0010101 => 1101010
[1,8,3,2,7,6,4,5] => 0110110 => 0110110 => 1001001
[5,2,8,7,6,1,3,4] => 1011100 => 0011101 => 1100010
[6,2,8,7,5,1,3,4] => 1011100 => 0011101 => 1100010
[3,4,7,8,1,6,2,5] => 0001010 => 0101000 => 1010111
[1,8,5,7,6,2,3,4] => 0101100 => 0011010 => 1100101
[2,5,8,7,6,1,3,4] => 0011100 => 0011100 => 1100011
[7,4,6,5,8,1,2,3] => 1010100 => 0010101 => 1101010
[3,6,7,8,5,1,2,4] => 0001100 => 0011000 => 1100111
[2,6,8,7,5,1,3,4] => 0011100 => 0011100 => 1100011
[1,8,6,7,5,2,3,4] => 0101100 => 0011010 => 1100101
[2,7,8,6,5,1,3,4] => 0011100 => 0011100 => 1100011
[5,7,6,4,8,1,2,3] => 0110100 => 0010110 => 1101001
[6,3,8,7,5,1,2,4] => 1011100 => 0011101 => 1100010
[2,8,7,4,1,3,5,6] => 0111000 => 0001110 => 1110001
[5,4,8,7,1,3,2,6] => 1011010 => 0101101 => 1010010
[4,8,6,1,3,2,5,7] => 0110100 => 0010110 => 1101001
[5,4,2,7,6,8,1,3] => 1101010 => 0101011 => 1010100
[2,8,7,1,4,5,3,6] => 0110010 => 0100110 => 1011001
[4,2,1,8,7,3,5,6] => 1101100 => 0011011 => 1100100
[5,1,6,3,2,8,7,4] => 1011011 => 1101101 => 0010010
[4,6,1,8,7,3,2,5] => 0101110 => 0111010 => 1000101
[8,7,2,3,5,4,1,6] => 1100110 => 0110011 => 1001100
[5,3,1,4,8,7,2,6] => 1100110 => 0110011 => 1001100
[4,3,5,2,8,7,1,6] => 1010110 => 0110101 => 1001010
[3,4,2,8,6,1,5,7] => 0101100 => 0011010 => 1100101
[3,7,6,8,1,5,2,4] => 0101010 => 0101010 => 1010101
[8,1,4,2,3,6,7,5] => 1010001 => 1000101 => 0111010
[3,7,2,1,8,6,4,5] => 0110110 => 0110110 => 1001001
[2,8,6,1,7,3,5,4] => 0110101 => 1010110 => 0101001
[1,7,6,3,5,8,2,4] => 0110010 => 0100110 => 1011001
[3,7,5,1,6,8,2,4] => 0110010 => 0100110 => 1011001
[3,6,5,8,1,4,7,2] => 0101001 => 1001010 => 0110101
[8,1,5,6,4,7,2,3] => 1001010 => 0101001 => 1010110
[3,6,7,4,1,8,2,5] => 0011010 => 0101100 => 1010011
[1,7,4,6,8,2,5,3] => 0100101 => 1010010 => 0101101
[7,5,8,2,6,3,1,4] => 1010110 => 0110101 => 1001010
[2,7,1,6,5,4,8,3] => 0101101 => 1011010 => 0100101
[7,3,2,6,1,8,5,4] => 1101011 => 1101011 => 0010100
[6,4,7,2,3,1,8,5] => 1010101 => 1010101 => 0101010
[5,3,1,8,4,6,2,7] => 1101010 => 0101011 => 1010100
[3,8,1,6,7,4,2,5] => 0100110 => 0110010 => 1001101
[2,7,4,3,6,8,1,5] => 0110010 => 0100110 => 1011001
[2,8,4,6,1,5,3,7] => 0101010 => 0101010 => 1010101
[8,4,1,6,3,2,5,7] => 1101100 => 0011011 => 1100100
[4,7,3,8,5,2,1,6] => 0101110 => 0111010 => 1000101
[3,1,7,4,8,5,2,6] => 1010110 => 0110101 => 1001010
[7,4,1,6,3,2,8,5] => 1101101 => 1011011 => 0100100
[3,8,6,2,7,4,1,5] => 0110110 => 0110110 => 1001001
[7,3,1,4,5,2,8,6] => 1100101 => 1010011 => 0101100
[6,1,4,8,5,3,2,7] => 1001110 => 0111001 => 1000110
[8,1,2,4,6,7,5,3] => 1000011 => 1100001 => 0011110
[8,1,3,6,7,5,4,2] => 1000111 => 1110001 => 0001110
[7,5,2,3,8,6,1,4] => 1100110 => 0110011 => 1001100
[8,6,2,4,1,3,7,5] => 1101001 => 1001011 => 0110100
[4,7,5,1,8,6,3,2] => 0110111 => 1110110 => 0001001
[4,7,3,2,8,5,6,1] => 0110101 => 1010110 => 0101001
[8,4,5,7,6,1,3,2] => 1001101 => 1011001 => 0100110
[7,5,8,4,2,3,6,1] => 1011001 => 1001101 => 0110010
[3,8,4,6,1,7,5,2] => 0101011 => 1101010 => 0010101
[3,7,4,6,5,2,8,1] => 0101101 => 1011010 => 0100101
[4,2,7,6,1,5,8,3] => 1011001 => 1001101 => 0110010
[8,3,1,4,5,7,6,2] => 1100011 => 1100011 => 0011100
[3,5,1,6,8,4,7,2] => 0100101 => 1010010 => 0101101
[6,1,5,7,3,8,4,2] => 1001011 => 1101001 => 0010110
[5,8,4,7,3,2,6,1] => 0101101 => 1011010 => 0100101
[7,2,6,5,8,4,1,3] => 1010110 => 0110101 => 1001010
[8,3,2,5,1,6,7,4] => 1101001 => 1001011 => 0110100
[2,6,8,3,7,4,1,5] => 0010110 => 0110100 => 1001011
[8,1,5,6,4,7,3,2] => 1001011 => 1101001 => 0010110
[2,5,8,1,6,4,7,3] => 0010101 => 1010100 => 0101011
[7,4,1,8,3,2,6,5] => 1101101 => 1011011 => 0100100
[8,3,7,4,2,1,6,5] => 1011101 => 1011101 => 0100010
[5,2,6,8,3,1,7,4] => 1001101 => 1011001 => 0100110
[3,6,5,8,4,1,7,2] => 0101101 => 1011010 => 0100101
[7,3,6,1,8,4,5,2] => 1010101 => 1010101 => 0101010
[8,2,7,3,4,6,5,1] => 1010011 => 1100101 => 0011010
[7,3,8,2,5,6,4,1] => 1010011 => 1100101 => 0011010
[5,7,3,1,6,4,8,2] => 0110101 => 1010110 => 0101001
[6,1,3,2,4,8,7,5] => 1010011 => 1100101 => 0011010
[8,7,4,2,3,6,1,5] => 1110010 => 0100111 => 1011000
[8,7,1,5,4,2,3,6] => 1101100 => 0011011 => 1100100
[3,7,1,5,2,8,6,4] => 0101011 => 1101010 => 0010101
[8,7,2,5,4,1,3,6] => 1101100 => 0011011 => 1100100
[8,7,2,5,3,1,4,6] => 1101100 => 0011011 => 1100100
[5,2,8,7,1,4,3,6] => 1011010 => 0101101 => 1010010
[7,1,8,6,2,4,3,5] => 1011010 => 0101101 => 1010010
[8,1,6,2,7,5,3,4] => 1010110 => 0110101 => 1001010
[7,1,6,2,8,5,3,4] => 1010110 => 0110101 => 1001010
[6,3,4,1,7,2,8,5] => 1010101 => 1010101 => 0101010
[7,2,4,3,5,1,8,6] => 1010101 => 1010101 => 0101010
[5,1,7,2,3,8,6,4] => 1010011 => 1100101 => 0011010
[8,2,3,5,1,7,6,4] => 1001011 => 1101001 => 0010110
[7,6,3,1,4,8,2,5] => 1110010 => 0100111 => 1011000
[6,1,8,2,7,5,3,4] => 1010110 => 0110101 => 1001010
[7,2,8,1,6,5,3,4] => 1010110 => 0110101 => 1001010
[7,2,6,4,3,8,1,5] => 1011010 => 0101101 => 1010010
[5,1,7,4,3,8,2,6] => 1011010 => 0101101 => 1010010
[5,3,1,7,4,8,2,6] => 1101010 => 0101011 => 1010100
[7,4,8,2,1,5,3,6] => 1011010 => 0101101 => 1010010
[8,2,4,1,6,3,7,5] => 1010101 => 1010101 => 0101010
[8,2,7,5,1,6,4,3] => 1011011 => 1101101 => 0010010
[6,1,7,3,2,8,5,4] => 1011011 => 1101101 => 0010010
[4,7,2,1,6,3,8,5] => 0110101 => 1010110 => 0101001
[6,2,1,5,3,8,4,7] => 1101010 => 0101011 => 1010100
[5,3,1,6,2,8,4,7] => 1101010 => 0101011 => 1010100
[6,1,5,2,8,4,3,7] => 1010110 => 0110101 => 1001010
[7,4,3,8,1,5,2,6] => 1101010 => 0101011 => 1010100
[7,4,8,1,5,3,2,6] => 1010110 => 0110101 => 1001010
[6,1,5,3,2,8,4,7] => 1011010 => 0101101 => 1010010
[6,3,2,8,4,1,5,7] => 1101100 => 0011011 => 1100100
[7,3,4,2,8,5,1,6] => 1010110 => 0110101 => 1001010
[7,1,6,3,4,2,8,5] => 1010101 => 1010101 => 0101010
[8,5,1,3,7,4,2,6] => 1100110 => 0110011 => 1001100
[3,8,6,1,5,2,7,4] => 0110101 => 1010110 => 0101001
[8,6,1,3,7,5,2,4] => 1100110 => 0110011 => 1001100
[4,8,5,6,1,7,3,2] => 0101011 => 1101010 => 0010101
[6,7,1,3,8,5,2,4] => 0100110 => 0110010 => 1001101
[3,6,7,1,5,2,8,4] => 0010101 => 1010100 => 0101011
[7,1,3,8,4,2,6,5] => 1001101 => 1011001 => 0100110
[5,6,2,7,1,3,8,4] => 0101001 => 1001010 => 0110101
[5,6,2,8,1,3,7,4] => 0101001 => 1001010 => 0110101
[6,1,8,3,7,5,2,4] => 1010110 => 0110101 => 1001010
[7,4,2,1,5,8,3,6] => 1110010 => 0100111 => 1011000
[7,4,1,5,8,3,2,6] => 1100110 => 0110011 => 1001100
[7,3,2,6,4,8,1,5] => 1101010 => 0101011 => 1010100
[6,4,2,7,3,8,1,5] => 1101010 => 0101011 => 1010100
[5,1,8,3,7,4,2,6] => 1010110 => 0110101 => 1001010
[7,4,8,3,1,5,2,6] => 1011010 => 0101101 => 1010010
[5,2,1,7,4,8,3,6] => 1101010 => 0101011 => 1010100
[6,1,8,4,5,2,7,3] => 1010101 => 1010101 => 0101010
[7,1,6,4,5,2,8,3] => 1010101 => 1010101 => 0101010
[3,5,2,7,1,6,8,4] => 0101001 => 1001010 => 0110101
[4,5,7,3,1,6,8,2] => 0011001 => 1001100 => 0110011
[4,5,7,2,8,6,1,3] => 0010110 => 0110100 => 1001011
[3,5,1,7,2,6,8,4] => 0101001 => 1001010 => 0110101
[4,5,7,2,8,1,3,6] => 0010100 => 0010100 => 1101011
[4,6,7,2,1,5,8,3] => 0011001 => 1001100 => 0110011
[4,6,7,1,3,8,5,2] => 0010011 => 1100100 => 0011011
[3,6,1,5,7,8,4,2] => 0100011 => 1100010 => 0011101
[4,6,7,1,5,8,3,2] => 0010011 => 1100100 => 0011011
[6,1,3,7,4,8,5,2] => 1001011 => 1101001 => 0010110
[3,2,1,7,4,8,5,6] => 1101010 => 0101011 => 1010100
[4,1,5,2,7,6,3,8] => 1010110 => 0110101 => 1001010
[2,5,1,3,7,6,4,8] => 0100110 => 0110010 => 1001101
[2,5,1,4,3,8,6,7] => 0101010 => 0101010 => 1010101
[3,7,2,1,5,8,6,4] => 0110011 => 1100110 => 0011001
[6,2,7,1,4,8,5,3] => 1010011 => 1100101 => 0011010
[3,7,4,2,1,8,5,6] => 0111010 => 0101110 => 1010001
[7,2,5,3,1,8,6,4] => 1011011 => 1101101 => 0010010
[7,5,1,4,2,8,6,3] => 1101011 => 1101011 => 0010100
[7,5,4,1,3,8,6,2] => 1110011 => 1100111 => 0011000
[5,3,2,1,7,6,4,8] => 1110110 => 0110111 => 1001000
[6,3,2,8,1,5,7,4] => 1101001 => 1001011 => 0110100
[7,4,3,2,8,1,6,5] => 1110101 => 1010111 => 0101000
[7,6,2,4,8,3,5,1] => 1100101 => 1010011 => 0101100
[7,3,6,4,8,1,5,2] => 1010101 => 1010101 => 0101010
[2,7,5,3,8,1,4,6] => 0110100 => 0010110 => 1101001
[1,8,5,3,6,4,2,7] => 0110110 => 0110110 => 1001001
[8,6,2,3,7,5,4,1] => 1100111 => 1110011 => 0001100
[8,6,3,2,7,5,4,1] => 1110111 => 1110111 => 0001000
[8,3,2,7,1,6,4,5] => 1101010 => 0101011 => 1010100
[7,2,6,1,5,4,3,8] => 1010110 => 0110101 => 1001010
[8,5,7,4,3,6,2,1] => 1011011 => 1101101 => 0010010
[8,5,7,2,4,6,3,1] => 1010011 => 1100101 => 0011010
[8,4,6,7,1,3,2,5] => 1001010 => 0101001 => 1010110
[2,8,5,6,1,4,3,7] => 0101010 => 0101010 => 1010101
[7,2,6,8,4,1,5,3] => 1001101 => 1011001 => 0100110
[7,6,4,8,3,2,5,1] => 1101101 => 1011011 => 0100100
[6,5,8,1,4,2,7,3] => 1010101 => 1010101 => 0101010
[6,5,8,4,1,3,7,2] => 1011001 => 1001101 => 0110010
[5,4,8,3,2,1,7,6] => 1011101 => 1011101 => 0100010
[4,3,7,2,1,6,5,8] => 1011010 => 0101101 => 1010010
[2,5,8,1,4,3,7,6] => 0010101 => 1010100 => 0101011
[3,6,8,2,1,5,7,4] => 0011001 => 1001100 => 0110011
[5,7,4,8,1,3,6,2] => 0101001 => 1001010 => 0110101
[5,7,1,4,8,2,6,3] => 0100101 => 1010010 => 0101101
[2,7,4,1,8,3,6,5] => 0110101 => 1010110 => 0101001
[3,5,1,8,4,2,7,6] => 0101101 => 1011010 => 0100101
[4,1,5,7,3,6,2,8] => 1001010 => 0101001 => 1010110
[4,2,5,8,3,1,7,6] => 1001101 => 1011001 => 0100110
[6,1,2,7,8,3,5,4] => 1000101 => 1010001 => 0101110
[5,3,1,8,6,4,2,7] => 1101110 => 0111011 => 1000100
[3,1,8,4,7,5,2,6] => 1010110 => 0110101 => 1001010
[4,2,8,7,3,5,1,6] => 1011010 => 0101101 => 1010010
[4,8,1,7,6,2,3,5] => 0101100 => 0011010 => 1100101
[6,8,1,4,7,5,2,3] => 0100110 => 0110010 => 1001101
[7,3,8,1,6,4,2,5] => 1010110 => 0110101 => 1001010
[4,7,8,1,5,3,2,6] => 0010110 => 0110100 => 1001011
[7,1,8,6,2,5,3,4] => 1011010 => 0101101 => 1010010
[5,8,7,1,3,6,4,2] => 0110011 => 1100110 => 0011001
[3,8,7,2,1,6,4,5] => 0111010 => 0101110 => 1010001
[2,8,7,1,6,3,5,4] => 0110101 => 1010110 => 0101001
[3,7,6,1,5,4,2,8] => 0110110 => 0110110 => 1001001
[4,8,7,6,1,3,5,2] => 0111001 => 1001110 => 0110001
[5,8,7,2,6,1,4,3] => 0110101 => 1010110 => 0101001
[6,8,1,7,5,2,4,3] => 0101101 => 1011010 => 0100101
[7,3,8,6,5,1,2,4] => 1011100 => 0011101 => 1100010
[5,7,8,4,3,1,2,6] => 0011100 => 0011100 => 1100011
[5,8,6,4,3,2,1,7] => 0111110 => 0111110 => 1000001
[8,7,3,6,4,2,1,5] => 1101110 => 0111011 => 1000100
[6,1,4,2,5,3,7,8] => 1010100 => 0010101 => 1101010
[1,3,7,5,4,2,8,6] => 0011101 => 1011100 => 0100011
[6,1,3,5,4,2,7,8] => 1001100 => 0011001 => 1100110
[6,1,2,5,4,7,3,8] => 1001010 => 0101001 => 1010110
[5,1,6,3,4,7,8,2] => 1010001 => 1000101 => 0111010
[5,2,6,3,4,7,1,8] => 1010010 => 0100101 => 1011010
[3,4,7,5,8,6,1,2] => 0010110 => 0110100 => 1001011
[2,4,7,1,5,3,8,6] => 0010101 => 1010100 => 0101011
[2,3,6,7,4,8,1,5] => 0001010 => 0101000 => 1010111
[1,3,6,7,4,8,5,2] => 0001011 => 1101000 => 0010111
[2,7,6,5,3,1,8,4] => 0111101 => 1011110 => 0100001
[5,2,6,1,4,7,8,3] => 1010001 => 1000101 => 0111010
[4,7,6,5,2,1,8,3] => 0111101 => 1011110 => 0100001
[5,3,6,2,4,1,7,8] => 1010100 => 0010101 => 1101010
[5,7,4,2,1,3,6,8] => 0111000 => 0001110 => 1110001
[6,3,1,5,4,7,8,2] => 1101001 => 1001011 => 0110100
[5,3,6,1,4,2,7,8] => 1010100 => 0010101 => 1101010
[1,7,4,2,6,3,8,5] => 0110101 => 1010110 => 0101001
[5,7,4,1,2,3,6,8] => 0110000 => 0000110 => 1111001
[6,4,1,2,5,3,7,8] => 1100100 => 0010011 => 1101100
[4,7,6,3,8,5,1,2] => 0110110 => 0110110 => 1001001
[3,7,6,5,2,8,1,4] => 0111010 => 0101110 => 1010001
[3,7,6,5,1,2,8,4] => 0111001 => 1001110 => 0110001
[4,7,2,6,1,3,8,5] => 0101001 => 1001010 => 0110101
[2,7,1,6,8,3,5,4] => 0100101 => 1010010 => 0101101
[2,7,6,5,8,1,4,3] => 0110101 => 1010110 => 0101001
[9,1,2,3,4,5,6,8,7] => 10000001 => 10000001 => 01111110
[10,1,2,3,4,5,6,7,9,8] => 100000001 => 100000001 => 011111110
[9,1,2,3,4,5,7,8,6] => 10000001 => 10000001 => 01111110
[2,3,4,5,6,9,7,8,1] => 00000101 => 10100000 => 01011111
[2,3,4,5,6,7,8,10,9,1] => 000000011 => 110000000 => 001111111
[9,2,1,8,7,6,5,4,3] => 11011111 => 11111011 => 00000100
[2,11,10,9,8,7,6,5,4,3,1] => 0111111111 => 1111111110 => 0000000001
[3,2,10,9,8,7,6,5,4,1] => 101111111 => 111111101 => 000000010
[3,9,2,8,7,6,5,4,1] => 01011111 => 11111010 => 00000101
[4,2,9,8,7,6,5,3,1] => 10111111 => 11111101 => 00000010
[5,2,8,7,6,4,3,1] => 1011111 => 1111101 => 0000010
[8,2,7,6,1,5,4,3] => 1011011 => 1101101 => 0010010
[9,2,8,1,7,6,5,4,3] => 10101111 => 11110101 => 00001010
[8,4,1,7,6,5,3,2] => 1101111 => 1111011 => 0000100
[9,3,1,8,7,6,5,4,2] => 11011111 => 11111011 => 00000100
[10,2,1,9,8,7,6,5,4,3] => 110111111 => 111111011 => 000000100
[11,1,10,9,8,7,6,5,4,3,2] => 1011111111 => 1111111101 => 0000000010
[4,5,6,2,3,8,1,7] => 0010010 => 0100100 => 1011011
[4,5,3,2,7,8,1,6] => 0110010 => 0100110 => 1011001
[6,5,7,3,8,4,2,1] => 1010111 => 1110101 => 0001010
[6,8,7,2,4,3,5,1] => 0110101 => 1010110 => 0101001
[3,2,7,4,5,8,1,6] => 1010010 => 0100101 => 1011010
[6,8,1,5,2,4,3,7] => 0101010 => 0101010 => 1010101
[8,3,4,6,1,5,2,7] => 1001010 => 0101001 => 1010110
[2,3,4,7,5,8,1,6] => 0001010 => 0101000 => 1010111
[6,3,4,7,8,2,5,1] => 1000101 => 1010001 => 0101110
[5,3,7,4,8,6,1,2] => 1010110 => 0110101 => 1001010
[8,3,6,4,1,7,2,5] => 1011010 => 0101101 => 1010010
[1,3,7,4,8,6,2,5] => 0010110 => 0110100 => 1001011
[3,7,8,5,4,1,2,6] => 0011100 => 0011100 => 1100011
[5,4,3,1,7,8,2,6] => 1110010 => 0100111 => 1011000
[5,7,6,2,8,4,1,3] => 0110110 => 0110110 => 1001001
[6,1,7,5,8,3,4,2] => 1010101 => 1010101 => 0101010
[7,5,6,4,1,3,8,2] => 1011001 => 1001101 => 0110010
[1,5,6,8,4,7,3,2] => 0001011 => 1101000 => 0010111
[4,1,3,7,6,5,8,2] => 1001101 => 1011001 => 0100110
[3,4,1,7,5,8,6,2] => 0101011 => 1101010 => 0010101
[8,5,7,4,3,1,6,2] => 1011101 => 1011101 => 0100010
[6,8,5,1,7,2,4,3] => 0110101 => 1010110 => 0101001
[8,2,4,1,3,7,6,5] => 1010011 => 1100101 => 0011010
[7,8,3,6,2,1,4,5] => 0101100 => 0011010 => 1100101
[8,1,7,4,2,3,6,5] => 1011001 => 1001101 => 0110010
[1,8,7,2,3,5,6,4] => 0110001 => 1000110 => 0111001
[2,8,3,1,6,7,5,4] => 0110011 => 1100110 => 0011001
[8,2,3,1,5,7,6,4] => 1010011 => 1100101 => 0011010
[3,8,4,1,2,7,6,5] => 0110011 => 1100110 => 0011001
[5,4,7,2,3,6,8,1] => 1010001 => 1000101 => 0111010
[6,3,2,1,8,4,7,5] => 1110101 => 1010111 => 0101000
[2,3,7,4,1,8,5,6] => 0011010 => 0101100 => 1010011
[6,4,1,3,2,7,8,5] => 1101001 => 1001011 => 0110100
[2,7,8,5,1,3,6,4] => 0011001 => 1001100 => 0110011
[8,2,5,6,7,1,3,4] => 1000100 => 0010001 => 1101110
[2,8,5,4,7,6,1,3] => 0110110 => 0110110 => 1001001
[6,7,1,5,8,2,4,3] => 0100101 => 1010010 => 0101101
[4,8,7,6,2,3,5,1] => 0111001 => 1001110 => 0110001
[7,8,1,5,3,2,6,4] => 0101101 => 1011010 => 0100101
[6,5,7,3,8,2,1,4] => 1010110 => 0110101 => 1001010
[8,1,4,7,2,5,6,3] => 1001001 => 1001001 => 0110110
[7,3,4,6,1,5,8,2] => 1001001 => 1001001 => 0110110
[8,3,4,5,7,1,6,2] => 1000101 => 1010001 => 0101110
[4,2,6,8,3,1,5,7] => 1001100 => 0011001 => 1100110
[3,7,6,2,4,5,1,8] => 0110010 => 0100110 => 1011001
[2,3,6,5,8,1,4,7] => 0010100 => 0010100 => 1101011
[2,3,5,8,6,1,4,7] => 0001100 => 0011000 => 1100111
[4,2,3,8,6,1,5,7] => 1001100 => 0011001 => 1100110
[6,4,1,2,8,3,5,7] => 1100100 => 0010011 => 1101100
[1,2,3,7,4,6,8,5] => 0001001 => 1001000 => 0110111
[3,2,7,1,4,5,8,6] => 1010001 => 1000101 => 0111010
[2,1,5,3,8,7,4,6] => 1010110 => 0110101 => 1001010
[5,8,3,2,4,1,6,7] => 0110100 => 0010110 => 1101001
[4,2,7,1,8,3,5,6] => 1010100 => 0010101 => 1101010
[4,1,8,2,7,3,5,6] => 1010100 => 0010101 => 1101010
[1,2,7,5,3,8,4,6] => 0011010 => 0101100 => 1010011
[3,2,7,1,4,8,5,6] => 1010010 => 0100101 => 1011010
[1,2,3,7,6,8,4,5] => 0001010 => 0101000 => 1010111
[1,2,3,6,8,7,4,5] => 0000110 => 0110000 => 1001111
[1,2,3,7,8,4,6,5] => 0000101 => 1010000 => 0101111
[1,2,3,6,8,4,7,5] => 0000101 => 1010000 => 0101111
[1,2,3,7,8,6,4,5] => 0000110 => 0110000 => 1001111
[6,2,8,3,7,5,1,4] => 1010110 => 0110101 => 1001010
[4,2,8,3,7,5,6,1] => 1010101 => 1010101 => 0101010
[7,3,4,8,6,5,1,2] => 1001110 => 0111001 => 1000110
[5,3,4,8,7,2,6,1] => 1001101 => 1011001 => 0100110
[4,3,5,8,7,2,6,1] => 1001101 => 1011001 => 0100110
[4,6,3,8,5,7,2,1] => 0101011 => 1101010 => 0010101
[7,5,3,8,6,2,4,1] => 1101101 => 1011011 => 0100100
[2,6,8,3,7,4,5,1] => 0010101 => 1010100 => 0101011
[1,8,4,3,7,5,6,2] => 0110101 => 1010110 => 0101001
[2,5,8,3,7,4,6,1] => 0010101 => 1010100 => 0101011
[7,4,3,8,6,2,5,1] => 1101101 => 1011011 => 0100100
[3,5,4,8,7,2,6,1] => 0101101 => 1011010 => 0100101
[4,5,3,8,6,7,2,1] => 0101011 => 1101010 => 0010101
[3,6,7,8,4,5,2,1] => 0001011 => 1101000 => 0010111
[2,6,8,5,4,7,3,1] => 0011011 => 1101100 => 0010011
[1,8,5,6,4,7,3,2] => 0101011 => 1101010 => 0010101
[2,5,8,6,4,7,3,1] => 0011011 => 1101100 => 0010011
[7,4,6,5,8,3,2,1] => 1010111 => 1110101 => 0001010
[6,3,7,8,4,5,2,1] => 1001011 => 1101001 => 0010110
[4,3,7,8,5,6,2,1] => 1001011 => 1101001 => 0010110
[5,2,8,6,4,7,3,1] => 1011011 => 1101101 => 0010010
[4,2,8,6,5,7,3,1] => 1011011 => 1101101 => 0010010
[3,2,8,6,7,4,5,1] => 1010101 => 1010101 => 0101010
[2,3,8,7,5,4,6,1] => 0011101 => 1011100 => 0100011
[1,8,2,7,4,5,6,3] => 0101001 => 1001010 => 0110101
[7,2,8,6,3,4,5,1] => 1011001 => 1001101 => 0110010
[6,2,8,4,5,7,3,1] => 1010011 => 1100101 => 0011010
[5,2,8,4,6,7,3,1] => 1010011 => 1100101 => 0011010
[4,2,8,5,6,7,3,1] => 1010011 => 1100101 => 0011010
[4,3,6,8,5,7,2,1] => 1001011 => 1101001 => 0010110
[3,4,6,8,7,2,5,1] => 0001101 => 1011000 => 0100111
[7,3,5,8,6,2,4,1] => 1001101 => 1011001 => 0100110
[1,8,3,5,7,4,6,2] => 0100101 => 1010010 => 0101101
[2,7,8,4,5,6,3,1] => 0010011 => 1100100 => 0011011
[3,7,5,8,4,6,2,1] => 0101011 => 1101010 => 0010101
[5,7,4,6,8,3,2,1] => 0100111 => 1110010 => 0001101
[3,6,5,8,4,7,2,1] => 0101011 => 1101010 => 0010101
[2,6,8,4,5,7,3,1] => 0010011 => 1100100 => 0011011
[4,2,7,1,3,8,5,6] => 1010010 => 0100101 => 1011010
[4,2,5,1,3,8,6,7] => 1010010 => 0100101 => 1011010
[5,3,6,1,7,2,4,8] => 1010100 => 0010101 => 1101010
[3,7,1,2,5,8,6,4] => 0100011 => 1100010 => 0011101
[3,7,4,1,2,8,5,6] => 0110010 => 0100110 => 1011001
[7,5,1,3,4,8,6,2] => 1100011 => 1100011 => 0011100
[7,5,1,2,4,8,6,3] => 1100011 => 1100011 => 0011100
[6,4,2,3,7,1,5,8] => 1100100 => 0010011 => 1101100
[7,6,3,8,1,2,5,4] => 1101001 => 1001011 => 0110100
[7,4,2,3,8,1,6,5] => 1100101 => 1010011 => 0101100
[4,7,5,2,8,1,3,6] => 0110100 => 0010110 => 1101001
[8,2,6,3,7,1,4,5] => 1010100 => 0010101 => 1101010
[8,6,1,2,7,4,5,3] => 1100101 => 1010011 => 0101100
[8,4,7,1,2,3,6,5] => 1010001 => 1000101 => 0111010
[8,5,7,1,2,4,6,3] => 1010001 => 1000101 => 0111010
[8,5,7,1,3,4,6,2] => 1010001 => 1000101 => 0111010
[8,6,2,7,1,3,5,4] => 1101001 => 1001011 => 0110100
[3,8,5,6,1,2,4,7] => 0101000 => 0001010 => 1110101
[3,7,5,8,1,2,4,6] => 0101000 => 0001010 => 1110101
[7,6,4,8,1,3,5,2] => 1101001 => 1001011 => 0110100
[6,5,8,1,2,4,7,3] => 1010001 => 1000101 => 0111010
[3,6,8,1,2,5,7,4] => 0010001 => 1000100 => 0111011
[3,7,2,4,8,1,6,5] => 0100101 => 1010010 => 0101101
[4,6,3,8,1,2,5,7] => 0101000 => 0001010 => 1110101
[4,6,3,7,1,2,5,8] => 0101000 => 0001010 => 1110101
[4,1,7,8,2,3,6,5] => 1001001 => 1001001 => 0110110
[5,1,2,8,6,3,4,7] => 1001100 => 0011001 => 1100110
[5,3,8,1,6,2,4,7] => 1010100 => 0010101 => 1101010
[6,1,8,5,2,3,4,7] => 1011000 => 0001101 => 1110010
[6,1,7,5,2,3,4,8] => 1011000 => 0001101 => 1110010
[6,8,1,3,7,4,5,2] => 0100101 => 1010010 => 0101101
[7,2,8,1,6,3,4,5] => 1010100 => 0010101 => 1101010
[4,7,8,2,5,1,3,6] => 0010100 => 0010100 => 1101011
[6,8,2,7,1,4,5,3] => 0101001 => 1001010 => 0110101
[4,8,7,1,3,5,6,2] => 0110001 => 1000110 => 0111001
[3,8,7,1,2,4,6,5] => 0110001 => 1000110 => 0111001
[4,8,7,1,2,3,6,5] => 0110001 => 1000110 => 0111001
[5,8,7,1,2,4,6,3] => 0110001 => 1000110 => 0111001
[5,8,7,1,3,4,6,2] => 0110001 => 1000110 => 0111001
[7,1,8,6,2,3,5,4] => 1011001 => 1001101 => 0110010
[5,8,6,4,1,2,3,7] => 0111000 => 0001110 => 1110001
[7,8,4,1,2,5,3,6] => 0110010 => 0100110 => 1011001
[7,8,1,2,6,5,3,4] => 0100110 => 0110010 => 1001101
[1,4,8,2,7,5,3,6] => 0010110 => 0110100 => 1001011
[6,1,3,4,7,2,5,8] => 1000100 => 0010001 => 1101110
[7,8,2,1,6,3,5,4] => 0110101 => 1010110 => 0101001
[6,1,2,7,5,4,3,8] => 1001110 => 0111001 => 1000110
[1,2,8,7,5,4,3,6] => 0011110 => 0111100 => 1000011
[5,1,7,3,6,4,8,2] => 1010101 => 1010101 => 0101010
[6,2,1,5,7,4,3,8] => 1100110 => 0110011 => 1001100
[6,2,3,7,4,1,5,8] => 1001100 => 0011001 => 1100110
[3,4,8,7,5,6,1,2] => 0011010 => 0101100 => 1010011
[2,3,8,7,4,1,5,6] => 0011100 => 0011100 => 1100011
[2,7,3,8,6,4,1,5] => 0101110 => 0111010 => 1000101
[1,8,3,7,6,4,5,2] => 0101101 => 1011010 => 0100101
[5,2,7,1,4,6,8,3] => 1010001 => 1000101 => 0111010
[4,6,7,5,2,1,8,3] => 0011101 => 1011100 => 0100011
[6,3,1,4,5,7,8,2] => 1100001 => 1000011 => 0111100
[5,3,1,4,6,2,7,8] => 1100100 => 0010011 => 1101100
[5,1,2,4,7,6,8,3] => 1000101 => 1010001 => 0101110
[5,7,4,1,2,6,3,8] => 0110010 => 0100110 => 1011001
[4,8,1,2,6,7,3,5] => 0100010 => 0100010 => 1011101
[4,1,7,8,2,6,3,5] => 1001010 => 0101001 => 1010110
[1,2,8,7,6,5,3,4] => 0011110 => 0111100 => 1000011
[3,1,2,4,6,8,7,5] => 1000011 => 1100001 => 0011110
[3,1,8,4,5,7,6,2] => 1010011 => 1100101 => 0011010
[3,2,8,5,4,7,1,6] => 1011010 => 0101101 => 1010010
[4,2,8,1,5,3,7,6] => 1010101 => 1010101 => 0101010
[4,3,8,5,7,6,1,2] => 1010110 => 0110101 => 1001010
[4,8,2,1,6,3,7,5] => 0110101 => 1010110 => 0101001
[3,8,6,5,2,7,1,4] => 0111010 => 0101110 => 1010001
[3,8,5,6,1,7,4,2] => 0101011 => 1101010 => 0010101
[3,5,7,8,1,2,6,4] => 0001001 => 1001000 => 0110111
[3,7,8,5,2,1,6,4] => 0011101 => 1011100 => 0100011
[3,7,2,8,4,1,6,5] => 0101101 => 1011010 => 0100101
[2,8,1,7,4,6,5,3] => 0101011 => 1101010 => 0010101
[2,8,7,5,1,6,4,3] => 0111011 => 1101110 => 0010001
[2,8,6,7,5,1,4,3] => 0101101 => 1011010 => 0100101
[5,1,3,4,6,7,2,8] => 1000010 => 0100001 => 1011110
[1,3,4,8,7,5,2,6] => 0001110 => 0111000 => 1000111
[8,2,4,1,7,3,5,6] => 1010100 => 0010101 => 1101010
[8,6,1,4,2,3,7,5] => 1101001 => 1001011 => 0110100
[3,6,1,4,2,8,7,5] => 0101011 => 1101010 => 0010101
[1,6,8,4,3,7,2,5] => 0011010 => 0101100 => 1010011
[3,1,4,7,8,5,2,6] => 1000110 => 0110001 => 1001110
[6,1,7,4,3,8,2,5] => 1011010 => 0101101 => 1010010
[1,8,7,4,3,6,2,5] => 0111010 => 0101110 => 1010001
[7,4,1,3,8,2,6,5] => 1100101 => 1010011 => 0101100
[4,8,2,3,1,5,7,6] => 0101001 => 1001010 => 0110101
[4,8,6,2,1,3,7,5] => 0111001 => 1001110 => 0110001
[2,7,4,1,8,3,5,6] => 0110100 => 0010110 => 1101001
[1,7,8,4,2,3,6,5] => 0011001 => 1001100 => 0110011
[4,7,1,3,8,2,6,5] => 0100101 => 1010010 => 0101101
[8,7,1,3,4,2,6,5] => 1100101 => 1010011 => 0101100
[1,7,4,3,6,2,8,5] => 0110101 => 1010110 => 0101001
[3,8,6,4,5,2,1,7] => 0110110 => 0110110 => 1001001
[3,8,4,6,5,2,1,7] => 0101110 => 0111010 => 1000101
[2,4,3,7,5,8,1,6] => 0101010 => 0101010 => 1010101
[1,4,7,3,6,2,8,5] => 0010101 => 1010100 => 0101011
[1,8,3,4,2,6,7,5] => 0101001 => 1001010 => 0110101
[6,4,1,3,7,2,8,5] => 1100101 => 1010011 => 0101100
[8,1,4,3,6,2,7,5] => 1010101 => 1010101 => 0101010
[4,2,3,8,5,7,1,6] => 1001010 => 0101001 => 1010110
[2,8,5,7,3,4,1,6] => 0101010 => 0101010 => 1010101
[5,8,2,6,4,3,1,7] => 0101110 => 0111010 => 1000101
[7,2,5,8,4,3,1,6] => 1001110 => 0111001 => 1000110
[4,2,3,5,8,7,1,6] => 1000110 => 0110001 => 1001110
[8,2,3,5,4,7,1,6] => 1001010 => 0101001 => 1010110
[6,1,8,3,4,2,7,5] => 1010101 => 1010101 => 0101010
[1,8,6,4,2,3,7,5] => 0111001 => 1001110 => 0110001
[3,8,4,5,6,2,1,7] => 0100110 => 0110010 => 1001101
[2,4,3,5,7,8,1,6] => 0100010 => 0100010 => 1011101
[3,8,6,5,4,2,1,7] => 0111110 => 0111110 => 1000001
[6,3,1,4,2,8,7,5] => 1101011 => 1101011 => 0010100
[7,3,8,1,2,6,4,5] => 1010010 => 0100101 => 1011010
[7,1,4,5,3,2,6,8] => 1001100 => 0011001 => 1100110
[1,8,4,2,6,5,3,7] => 0110110 => 0110110 => 1001001
[5,1,4,8,6,3,2,7] => 1001110 => 0111001 => 1000110
[5,3,1,8,4,7,2,6] => 1101010 => 0101011 => 1010100
[4,3,8,1,5,7,2,6] => 1010010 => 0100101 => 1011010
[6,3,1,2,5,7,4,8] => 1100010 => 0100011 => 1011100
[7,1,4,2,6,5,3,8] => 1010110 => 0110101 => 1001010
[3,8,4,1,6,5,2,7] => 0110110 => 0110110 => 1001001
[7,5,3,6,4,8,2,1] => 1101011 => 1101011 => 0010100
[7,3,6,4,5,8,2,1] => 1010011 => 1100101 => 0011010
[8,7,2,4,5,1,6,3] => 1100101 => 1010011 => 0101100
[7,1,5,4,8,6,3,2] => 1010111 => 1110101 => 0001010
[2,7,5,4,8,6,3,1] => 0110111 => 1110110 => 0001001
[2,1,8,7,5,3,6,4] => 1011101 => 1011101 => 0100010
[5,8,3,7,4,1,6,2] => 0101101 => 1011010 => 0100101
[8,1,7,4,2,6,5,3] => 1011011 => 1101101 => 0010010
[5,6,3,1,8,4,7,2] => 0110101 => 1010110 => 0101001
[5,7,1,4,8,6,3,2] => 0100111 => 1110010 => 0001101
[3,5,7,4,8,6,2,1] => 0010111 => 1110100 => 0001011
[2,6,7,4,5,8,3,1] => 0010011 => 1100100 => 0011011
[6,1,7,4,5,8,3,2] => 1010011 => 1100101 => 0011010
[5,3,7,4,8,6,2,1] => 1010111 => 1110101 => 0001010
[8,5,3,6,1,4,7,2] => 1101001 => 1001011 => 0110100
[5,4,3,6,8,2,7,1] => 1100101 => 1010011 => 0101100
[6,5,3,7,4,8,2,1] => 1101011 => 1101011 => 0010100
[7,5,8,4,1,6,3,2] => 1011011 => 1101101 => 0010010
[2,7,8,4,5,1,6,3] => 0010101 => 1010100 => 0101011
[5,7,3,8,4,1,6,2] => 0101101 => 1011010 => 0100101
[5,6,3,8,1,4,7,2] => 0101001 => 1001010 => 0110101
[8,4,1,2,5,6,7,3] => 1100001 => 1000011 => 0111100
[3,7,8,4,1,6,5,2] => 0011011 => 1101100 => 0010011
[6,8,3,1,2,5,7,4] => 0110001 => 1000110 => 0111001
[8,7,1,4,5,2,6,3] => 1100101 => 1010011 => 0101100
[8,7,3,1,5,4,2,6] => 1110110 => 0110111 => 1001000
[3,6,2,1,5,4,8,7] => 0110101 => 1010110 => 0101001
[5,4,2,6,1,3,8,7] => 1101001 => 1001011 => 0110100
[3,2,6,5,1,4,8,7] => 1011001 => 1001101 => 0110010
[2,5,8,1,7,4,3,6] => 0010110 => 0110100 => 1001011
[6,8,2,7,4,3,1,5] => 0101110 => 0111010 => 1000101
[6,8,2,3,7,5,1,4] => 0100110 => 0110010 => 1001101
[7,6,2,5,4,8,1,3] => 1101010 => 0101011 => 1010100
[2,6,5,1,8,4,3,7] => 0110110 => 0110110 => 1001001
[4,2,7,3,1,8,5,6] => 1011010 => 0101101 => 1010010
[4,2,3,7,1,5,8,6] => 1001001 => 1001001 => 0110110
[5,2,7,3,8,6,1,4] => 1010110 => 0110101 => 1001010
[2,1,5,8,4,3,7,6] => 1001101 => 1011001 => 0100110
[5,8,4,2,6,7,1,3] => 0110010 => 0100110 => 1011001
[3,2,4,8,1,5,7,6] => 1001001 => 1001001 => 0110110
[2,4,8,3,1,7,5,6] => 0011010 => 0101100 => 1010011
[4,8,3,2,1,7,6,5] => 0111011 => 1101110 => 0010001
[4,1,3,7,2,6,8,5] => 1001001 => 1001001 => 0110110
[3,4,8,2,1,6,5,7] => 0011010 => 0101100 => 1010011
[6,8,3,7,2,1,5,4] => 0101101 => 1011010 => 0100101
[3,5,8,1,7,2,6,4] => 0010101 => 1010100 => 0101011
[5,1,7,4,6,8,3,2] => 1010011 => 1100101 => 0011010
[7,6,4,8,1,5,3,2] => 1101011 => 1101011 => 0010100
[5,3,7,1,8,2,6,4] => 1010101 => 1010101 => 0101010
[2,7,6,3,8,1,4,5] => 0110100 => 0010110 => 1101001
[2,1,7,6,4,8,3,5] => 1011010 => 0101101 => 1010010
[2,1,5,4,8,7,3,6] => 1010110 => 0110101 => 1001010
[5,4,8,7,2,6,1,3] => 1011010 => 0101101 => 1010010
[2,4,3,8,7,1,5,6] => 0101100 => 0011010 => 1100101
[3,4,1,8,6,2,7,5] => 0101101 => 1011010 => 0100101
[3,8,5,4,2,1,7,6] => 0111101 => 1011110 => 0100001
[4,8,6,5,2,7,1,3] => 0111010 => 0101110 => 1010001
[3,2,8,7,5,4,1,6] => 1011110 => 0111101 => 1000010
[2,8,6,5,4,3,1,7] => 0111110 => 0111110 => 1000001
[5,4,2,6,3,1,8,7] => 1101101 => 1011011 => 0100100
[6,5,2,1,3,4,8,7] => 1110001 => 1000111 => 0111000
[8,5,2,7,3,1,4,6] => 1101100 => 0011011 => 1100100
[7,3,6,5,2,8,4,1] => 1011011 => 1101101 => 0010010
[7,6,2,3,4,8,5,1] => 1100011 => 1100011 => 0011100
[8,7,5,3,1,4,2,6] => 1111010 => 0101111 => 1010000
[7,1,5,3,8,4,6,2] => 1010101 => 1010101 => 0101010
[6,7,2,3,5,8,4,1] => 0100011 => 1100010 => 0011101
[3,7,6,4,2,8,5,1] => 0111011 => 1101110 => 0010001
[2,1,7,6,4,8,5,3] => 1011011 => 1101101 => 0010010
[2,1,8,7,4,3,5,6] => 1011100 => 0011101 => 1100010
[5,8,3,7,2,1,4,6] => 0101100 => 0011010 => 1100101
[3,8,7,4,2,1,5,6] => 0111100 => 0011110 => 1100001
[7,8,2,3,5,1,4,6] => 0100100 => 0010010 => 1101101
[2,8,6,3,1,4,7,5] => 0111001 => 1001110 => 0110001
[8,1,6,3,2,4,5,7] => 1011000 => 0001101 => 1110010
[5,7,1,4,8,3,6,2] => 0100101 => 1010010 => 0101101
[6,1,7,5,4,8,3,2] => 1011011 => 1101101 => 0010010
[6,3,7,5,8,4,2,1] => 1010111 => 1110101 => 0001010
[7,6,1,5,8,3,4,2] => 1100101 => 1010011 => 0101100
[8,6,7,5,1,3,2,4] => 1011010 => 0101101 => 1010010
[8,5,2,6,1,7,3,4] => 1101010 => 0101011 => 1010100
[5,4,2,6,8,3,7,1] => 1100101 => 1010011 => 0101100
[6,5,2,8,1,4,3,7] => 1101010 => 0101011 => 1010100
[7,4,2,8,1,3,6,5] => 1101001 => 1001011 => 0110100
[2,7,8,4,5,1,3,6] => 0010100 => 0010100 => 1101011
[5,7,3,8,4,1,2,6] => 0101100 => 0011010 => 1100101
[2,4,8,1,5,6,3,7] => 0010010 => 0100100 => 1011011
[3,4,8,1,5,2,7,6] => 0010101 => 1010100 => 0101011
[3,6,8,4,1,2,7,5] => 0011001 => 1001100 => 0110011
[4,8,1,2,5,3,6,7] => 0100100 => 0010010 => 1101101
[8,1,2,4,3,5,6,7] => 1001000 => 0001001 => 1110110
[2,3,4,6,5,7,8,9,10,1] => 000100001 => 100001000 => 011110111
[2,3,5,6,4,7,8,9,1] => 00010001 => 10001000 => 01110111
[2,3,6,4,5,7,8,9,1] => 00100001 => 10000100 => 01111011
[9,1,2,4,5,3,6,7,8] => 10001000 => 00010001 => 11101110
[10,1,2,3,5,4,6,7,8,9] => 100010000 => 000010001 => 111101110
[5,8,7,4,6,3,2,1] => 0110111 => 1110110 => 0001001
[4,8,7,6,3,5,2,1] => 0111011 => 1101110 => 0010001
[3,8,7,6,5,2,4,1] => 0111101 => 1011110 => 0100001
[7,9,6,8,5,4,3,2,1] => 01011111 => 11111010 => 00000101
[5,8,4,7,6,3,2,1] => 0101111 => 1111010 => 0000101
[6,9,8,5,7,4,3,2,1] => 01101111 => 11110110 => 00001001
[6,8,5,4,7,3,2,1] => 0110111 => 1110110 => 0001001
[5,9,8,7,4,6,3,2,1] => 01110111 => 11101110 => 00010001
[3,8,7,6,2,5,4,1] => 0111011 => 1101110 => 0010001
[4,9,8,7,6,3,5,2,1] => 01111011 => 11011110 => 00100001
[4,8,7,6,3,2,5,1] => 0111101 => 1011110 => 0100001
[3,9,8,7,6,5,2,4,1] => 01111101 => 10111110 => 01000001
[3,8,7,6,5,2,1,4] => 0111110 => 0111110 => 1000001
[8,6,9,7,4,5,2,3,1] => 10110101 => 10101101 => 01010010
[8,6,9,4,7,5,2,3,1] => 10101101 => 10110101 => 01001010
[8,6,9,4,7,2,5,3,1] => 10101011 => 11010101 => 00101010
[8,6,9,4,7,3,5,1,2] => 10101010 => 01010101 => 10101010
[8,6,9,5,7,3,4,1,2] => 10101010 => 01010101 => 10101010
[8,7,9,5,6,3,4,1,2] => 10101010 => 01010101 => 10101010
[9,7,10,8,5,6,3,4,1,2] => 101101010 => 010101101 => 101010010
[8,6,4,9,7,5,2,3,1] => 11011101 => 10111011 => 01000100
[9,7,10,5,8,6,3,4,1,2] => 101011010 => 010110101 => 101001010
[8,6,9,4,2,7,5,3,1] => 10110111 => 11101101 => 00010010
[9,7,10,5,8,3,6,4,1,2] => 101010110 => 011010101 => 100101010
[8,6,9,4,7,2,1,5,3] => 10101101 => 10110101 => 01001010
[7,5,8,4,6,3,1,2] => 1010110 => 0110101 => 1001010
[8,6,9,4,7,3,5,2,1] => 10101011 => 11010101 => 00101010
[9,7,10,5,8,3,6,2,4,1] => 101010101 => 101010101 => 010101010
[8,6,9,5,7,2,4,1,3] => 10101010 => 01010101 => 10101010
[9,7,10,5,8,4,6,2,3,1] => 101010101 => 101010101 => 010101010
[7,6,8,2,5,1,4,3] => 1010101 => 1010101 => 0101010
[8,7,9,4,6,3,5,1,2] => 10101010 => 01010101 => 10101010
[9,7,10,6,8,4,5,2,3,1] => 101010101 => 101010101 => 010101010
[9,6,8,5,7,3,4,1,2] => 10101010 => 01010101 => 10101010
[9,8,10,6,7,4,5,2,3,1] => 101010101 => 101010101 => 010101010
[3,5,2,4,7,6,1,8] => 0100110 => 0110010 => 1001101
[3,5,4,7,2,6,1,8] => 0101010 => 0101010 => 1010101
[3,5,4,7,6,1,2,8] => 0101100 => 0011010 => 1100101
[3,5,4,7,6,1,8,2] => 0101101 => 1011010 => 0100101
[3,5,7,4,6,1,8,2] => 0010101 => 1010100 => 0101011
[3,5,7,4,6,1,2,8] => 0010100 => 0010100 => 1101011
[3,5,7,4,6,2,1,8] => 0010110 => 0110100 => 1001011
[3,2,5,7,4,6,1,8] => 1001010 => 0101001 => 1010110
[3,5,2,7,6,4,1,8] => 0101110 => 0111010 => 1000101
[3,5,7,2,6,4,1,8] => 0010110 => 0110100 => 1001011
[5,3,7,6,2,4,1,8] => 1011010 => 0101101 => 1010010
[5,3,7,6,1,2,8,4] => 1011001 => 1001101 => 0110010
[5,3,7,6,1,4,2,8] => 1011010 => 0101101 => 1010010
[5,3,7,6,4,1,2,8] => 1011100 => 0011101 => 1100010
[3,5,7,2,6,1,4,8] => 0010100 => 0010100 => 1101011
[3,5,2,7,6,1,4,8] => 0101100 => 0011010 => 1100101
[5,3,7,6,4,1,8,2] => 1011101 => 1011101 => 0100010
[3,7,5,4,1,8,2,6] => 0111010 => 0101110 => 1010001
[3,7,5,4,1,8,6,2] => 0111011 => 1101110 => 0010001
[3,7,5,1,4,8,6,2] => 0110011 => 1100110 => 0011001
[3,7,5,1,4,8,2,6] => 0110010 => 0100110 => 1011001
[3,5,7,1,2,6,8,4] => 0010001 => 1000100 => 0111011
[3,5,7,2,1,6,8,4] => 0011001 => 1001100 => 0110011
[3,5,2,7,1,6,4,8] => 0101010 => 0101010 => 1010101
[3,5,7,2,1,6,4,8] => 0011010 => 0101100 => 1010011
[5,3,7,1,6,2,4,8] => 1010100 => 0010101 => 1101010
[3,5,7,1,4,6,8,2] => 0010001 => 1000100 => 0111011
[3,5,7,1,4,6,2,8] => 0010010 => 0100100 => 1011011
[3,5,7,1,4,2,6,8] => 0010100 => 0010100 => 1101011
[3,5,7,2,1,4,6,8] => 0011000 => 0001100 => 1110011
[3,5,2,7,1,4,6,8] => 0101000 => 0001010 => 1110101
[3,2,5,7,4,1,6,8] => 1001100 => 0011001 => 1100110
[3,5,2,7,4,1,6,8] => 0101100 => 0011010 => 1100101
[3,5,7,4,2,1,6,8] => 0011100 => 0011100 => 1100011
[3,5,7,4,1,2,6,8] => 0011000 => 0001100 => 1110011
[3,5,4,7,1,6,8,2] => 0101001 => 1001010 => 0110101
[3,5,4,7,1,2,6,8] => 0101000 => 0001010 => 1110101
[3,5,4,7,2,1,6,8] => 0101100 => 0011010 => 1100101
[3,5,4,2,7,1,6,8] => 0110100 => 0010110 => 1101001
[3,2,5,4,7,1,6,8] => 1010100 => 0010101 => 1101010
[3,5,4,7,2,1,8,6] => 0101101 => 1011010 => 0100101
[3,5,4,7,1,2,8,6] => 0101001 => 1001010 => 0110101
[5,7,6,3,1,8,4,2] => 0111011 => 1101110 => 0010001
[5,7,6,3,1,8,2,4] => 0111010 => 0101110 => 1010001
[3,5,7,4,1,2,8,6] => 0011001 => 1001100 => 0110011
[3,5,7,4,2,1,8,6] => 0011101 => 1011100 => 0100011
[3,2,5,7,4,1,8,6] => 1001101 => 1011001 => 0100110
[3,2,5,7,1,4,8,6] => 1001001 => 1001001 => 0110110
[3,5,2,7,1,4,8,6] => 0101001 => 1001010 => 0110101
[3,5,7,2,1,4,8,6] => 0011001 => 1001100 => 0110011
[3,5,7,1,4,2,8,6] => 0010101 => 1010100 => 0101011
[3,7,5,2,1,8,6,4] => 0111011 => 1101110 => 0010001
[3,7,2,5,1,8,6,4] => 0101011 => 1101010 => 0010101
[3,2,7,5,1,8,6,4] => 1011011 => 1101101 => 0010010
[3,2,7,5,1,8,4,6] => 1011010 => 0101101 => 1010010
[3,7,2,5,1,8,4,6] => 0101010 => 0101010 => 1010101
[3,7,5,2,1,8,4,6] => 0111010 => 0101110 => 1010001
[6,1,2,5,7,4,8,3] => 1000101 => 1010001 => 0101110
[6,3,2,7,4,1,8,5] => 1101101 => 1011011 => 0100100
[2,1,7,5,8,4,6,3] => 1010101 => 1010101 => 0101010
[2,7,3,6,8,4,1,5] => 0100110 => 0110010 => 1001101
[2,1,8,3,4,7,5,6] => 1010010 => 0100101 => 1011010
[5,1,7,2,4,8,3,6] => 1010010 => 0100101 => 1011010
[3,4,2,6,7,1,8,5] => 0100101 => 1010010 => 0101101
[3,5,8,7,2,1,6,4] => 0011101 => 1011100 => 0100011
[1,3,4,5,6,7,9,2,8] => 00000010 => 01000000 => 10111111
[2,3,4,5,6,7,1,9,8] => 00000101 => 10100000 => 01011111
[2,1,4,5,6,7,8,9,3] => 10000001 => 10000001 => 01111110
[3,1,4,5,6,7,8,2,9] => 10000010 => 01000001 => 10111110
[5,8,3,4,1,7,6,2] => 0101011 => 1101010 => 0010101
[5,8,7,2,4,1,6,3] => 0110101 => 1010110 => 0101001
[3,8,6,4,1,7,5,2] => 0111011 => 1101110 => 0010001
[4,3,5,6,8,1,7,2] => 1000101 => 1010001 => 0101110
[3,7,6,4,1,8,5,2] => 0111011 => 1101110 => 0010001
[3,7,4,1,8,6,5,2] => 0110111 => 1110110 => 0001001
[3,8,4,1,7,6,5,2] => 0110111 => 1110110 => 0001001
[3,2,7,6,1,5,4,8] => 1011010 => 0101101 => 1010010
[3,2,8,7,6,1,5,4] => 1011101 => 1011101 => 0100010
[5,7,8,2,4,1,6,3] => 0010101 => 1010100 => 0101011
[4,2,5,8,1,6,7,3] => 1001001 => 1001001 => 0110110
[4,2,5,8,1,7,3,6] => 1001010 => 0101001 => 1010110
[5,8,2,4,1,6,3,7] => 0101010 => 0101010 => 1010101
[8,4,2,6,5,1,3,7] => 1101100 => 0011011 => 1100100
[3,2,6,8,1,5,4,7] => 1001010 => 0101001 => 1010110
[8,3,2,5,6,1,4,7] => 1100100 => 0010011 => 1101100
[3,2,8,6,7,1,5,4] => 1010101 => 1010101 => 0101010
[3,2,6,8,7,1,5,4] => 1001101 => 1011001 => 0100110
[3,2,6,7,1,5,4,8] => 1001010 => 0101001 => 1010110
[8,7,3,2,5,6,1,4] => 1110010 => 0100111 => 1011000
[7,2,8,1,5,3,6,4] => 1010101 => 1010101 => 0101010
[8,4,2,7,5,1,3,6] => 1101100 => 0011011 => 1100100
[7,4,2,8,5,1,3,6] => 1101100 => 0011011 => 1100100
[7,2,4,1,8,3,6,5] => 1010101 => 1010101 => 0101010
[3,2,8,5,7,1,4,6] => 1010100 => 0010101 => 1101010
[2,6,5,7,1,8,3,4] => 0101010 => 0101010 => 1010101
[2,5,1,8,7,4,3,6] => 0101110 => 0111010 => 1000101
[8,1,4,6,3,5,2,7] => 1001010 => 0101001 => 1010110
[8,3,5,4,1,6,2,7] => 1011010 => 0101101 => 1010010
[8,6,3,4,1,5,2,7] => 1101010 => 0101011 => 1010100
[5,4,7,6,8,2,3,1] => 1010101 => 1010101 => 0101010
[4,1,8,2,3,7,6,5] => 1010011 => 1100101 => 0011010
[2,1,8,5,3,4,7,6] => 1011001 => 1001101 => 0110010
[5,2,4,6,8,7,3,1] => 1000111 => 1110001 => 0001110
[1,6,8,3,4,5,7,2] => 0010001 => 1000100 => 0111011
[5,7,4,8,6,1,3,2] => 0101101 => 1011010 => 0100101
[5,4,2,6,7,8,1,3] => 1100010 => 0100011 => 1011100
[6,4,2,7,3,5,8,1] => 1101001 => 1001011 => 0110100
[7,4,1,8,3,5,6,2] => 1101001 => 1001011 => 0110100
[6,5,4,8,7,3,1,2] => 1101110 => 0111011 => 1000100
[8,7,4,2,1,3,6,5] => 1111001 => 1001111 => 0110000
[8,7,1,3,2,5,6,4] => 1101001 => 1001011 => 0110100
[6,8,2,3,1,7,5,4] => 0101011 => 1101010 => 0010101
[7,4,3,2,6,8,5,1] => 1110011 => 1100111 => 0011000
[2,7,4,3,8,5,6,1] => 0110101 => 1010110 => 0101001
[8,3,7,2,1,5,6,4] => 1011001 => 1001101 => 0110010
[5,7,8,2,4,3,1,6] => 0010110 => 0110100 => 1001011
[8,4,7,3,2,6,1,5] => 1011010 => 0101101 => 1010010
[8,3,1,6,7,4,2,5] => 1100110 => 0110011 => 1001100
[3,2,5,7,4,8,1,6] => 1001010 => 0101001 => 1010110
[8,2,7,3,4,1,5,6] => 1010100 => 0010101 => 1101010
[7,1,6,3,5,8,2,4] => 1010010 => 0100101 => 1011010
[2,8,5,6,7,1,4,3] => 0100101 => 1010010 => 0101101
[1,5,2,7,8,6,4,3] => 0100111 => 1110010 => 0001101
[2,6,8,5,1,4,7,3] => 0011001 => 1001100 => 0110011
[1,4,2,8,6,5,7,3] => 0101101 => 1011010 => 0100101
[3,5,1,6,8,7,2,4] => 0100110 => 0110010 => 1001101
[5,7,6,2,1,3,8,4] => 0111001 => 1001110 => 0110001
[2,5,8,7,4,1,6,3] => 0011101 => 1011100 => 0100011
[4,1,7,5,2,6,8,3] => 1011001 => 1001101 => 0110010
[7,6,2,4,5,1,8,3] => 1100101 => 1010011 => 0101100
[7,3,4,2,5,8,6,1] => 1010011 => 1100101 => 0011010
[8,7,4,2,5,1,6,3] => 1110101 => 1010111 => 0101000
[8,1,4,5,2,6,7,3] => 1001001 => 1001001 => 0110110
[5,2,4,8,6,7,1,3] => 1001010 => 0101001 => 1010110
[8,5,6,2,1,3,7,4] => 1011001 => 1001101 => 0110010
[4,2,1,5,6,7,8,3] => 1100001 => 1000011 => 0111100
[3,4,6,5,1,7,8,2] => 0011001 => 1001100 => 0110011
[7,3,5,2,4,6,1,8] => 1010010 => 0100101 => 1011010
[5,3,7,2,4,6,1,8] => 1010010 => 0100101 => 1011010
[3,7,5,2,4,6,1,8] => 0110010 => 0100110 => 1011001
[5,7,3,2,4,6,1,8] => 0110010 => 0100110 => 1011001
[1,5,3,2,4,7,6,8] => 0110010 => 0100110 => 1011001
[1,5,3,2,7,4,6,8] => 0110100 => 0010110 => 1101001
[5,7,3,2,1,4,6,8] => 0111000 => 0001110 => 1110001
[5,7,3,2,4,1,6,8] => 0110100 => 0010110 => 1101001
[3,7,2,5,4,1,6,8] => 0101100 => 0011010 => 1100101
[5,1,3,2,4,7,6,8] => 1010010 => 0100101 => 1011010
[5,1,3,2,7,4,6,8] => 1010100 => 0010101 => 1101010
[7,1,3,2,5,4,6,8] => 1010100 => 0010101 => 1101010
[1,7,3,2,5,4,6,8] => 0110100 => 0010110 => 1101001
[7,1,3,5,2,4,6,8] => 1001000 => 0001001 => 1110110
[5,1,3,7,2,4,6,8] => 1001000 => 0001001 => 1110110
[3,2,7,5,1,4,6,8] => 1011000 => 0001101 => 1110010
[3,7,5,1,2,4,6,8] => 0110000 => 0000110 => 1111001
[5,7,3,1,2,4,6,8] => 0110000 => 0000110 => 1111001
[1,5,3,7,2,4,6,8] => 0101000 => 0001010 => 1110101
[5,3,2,7,4,1,6,8] => 1101100 => 0011011 => 1100100
[5,3,2,4,7,1,6,8] => 1100100 => 0010011 => 1101100
[5,3,2,1,4,7,6,8] => 1110010 => 0100111 => 1011000
[5,3,2,1,7,4,6,8] => 1110100 => 0010111 => 1101000
[1,3,2,7,5,4,6,8] => 0101100 => 0011010 => 1100101
[1,3,7,2,5,4,6,8] => 0010100 => 0010100 => 1101011
[7,3,1,2,5,4,6,8] => 1100100 => 0010011 => 1101100
[5,3,1,2,7,4,6,8] => 1100100 => 0010011 => 1101100
[5,3,1,2,4,7,6,8] => 1100010 => 0100011 => 1011100
[3,2,5,1,4,7,6,8] => 1010010 => 0100101 => 1011010
[7,3,1,5,2,4,6,8] => 1101000 => 0001011 => 1110100
[1,3,7,5,2,4,6,8] => 0011000 => 0001100 => 1110011
[7,5,1,3,2,4,6,8] => 1101000 => 0001011 => 1110100
[5,7,1,3,2,4,6,8] => 0101000 => 0001010 => 1110101
[3,7,1,5,2,4,6,8] => 0101000 => 0001010 => 1110101
[3,7,1,2,5,4,6,8] => 0100100 => 0010010 => 1101101
[3,7,2,1,5,4,6,8] => 0110100 => 0010110 => 1101001
[3,2,1,7,5,4,6,8] => 1101100 => 0011011 => 1100100
[3,1,2,7,5,4,6,8] => 1001100 => 0011001 => 1100110
[3,1,7,2,5,4,6,8] => 1010100 => 0010101 => 1101010
[3,1,7,5,2,4,6,8] => 1011000 => 0001101 => 1110010
[7,1,5,3,2,4,6,8] => 1011000 => 0001101 => 1110010
[1,7,5,3,2,4,6,8] => 0111000 => 0001110 => 1110001
[1,2,3,4,5,7,9,6,8] => 00000010 => 01000000 => 10111111
[1,2,3,4,6,9,5,7,8] => 00000100 => 00100000 => 11011111
[1,2,3,5,9,4,6,7,8] => 00001000 => 00010000 => 11101111
[1,2,4,9,3,5,6,7,8] => 00010000 => 00001000 => 11110111
[1,3,9,2,4,5,6,7,8] => 00100000 => 00000100 => 11111011
[1,9,8,7,6,2,5,4,3] => 01111011 => 11011110 => 00100001
[2,9,8,7,1,6,5,4,3] => 01110111 => 11101110 => 00010001
[1,9,8,2,7,6,5,4,3] => 01101111 => 11110110 => 00001001
[1,9,2,8,7,6,5,4,3] => 01011111 => 11111010 => 00000101
[3,9,8,7,6,5,2,1,4] => 01111110 => 01111110 => 10000001
[1,10,9,8,7,6,5,2,4,3] => 011111101 => 101111110 => 010000001
[4,9,8,7,6,1,2,5,3] => 01111001 => 10011110 => 01100001
[1,10,9,8,7,6,2,5,4,3] => 011111011 => 110111110 => 001000001
[1,8,7,4,2,6,5,3] => 0111011 => 1101110 => 0010001
[5,9,8,7,1,2,6,4,3] => 01110011 => 11001110 => 00110001
[2,10,9,8,7,1,6,5,4,3] => 011110111 => 111011110 => 000100001
[2,8,5,1,7,6,4,3] => 0110111 => 1110110 => 0001001
[6,9,8,2,1,7,5,4,3] => 01110111 => 11101110 => 00010001
[1,10,9,8,2,7,6,5,4,3] => 011101111 => 111101110 => 000010001
[6,8,5,1,2,7,4,3] => 0110011 => 1100110 => 0011001
[7,9,1,2,8,6,5,4,3] => 01001111 => 11110010 => 00001101
[1,10,9,2,8,7,6,5,4,3] => 011011111 => 111110110 => 000001001
[8,1,2,9,7,6,5,4,3] => 10011111 => 11111001 => 00000110
[2,10,1,9,8,7,6,5,4,3] => 010111111 => 111111010 => 000000101
[3,10,9,8,7,6,5,2,1,4] => 011111110 => 011111110 => 100000001
[1,11,10,9,8,7,6,5,2,4,3] => 0111111101 => 1011111110 => 0100000001
[1,9,8,7,6,3,2,5,4] => 01111101 => 10111110 => 01000001
[4,10,9,8,7,6,1,2,5,3] => 011111001 => 100111110 => 011000001
[1,11,10,9,8,7,6,2,5,4,3] => 0111111011 => 1101111110 => 0010000001
[1,9,8,7,4,2,6,5,3] => 01111011 => 11011110 => 00100001
[4,9,8,7,6,3,2,1,5] => 01111110 => 01111110 => 10000001
[5,10,9,8,7,1,2,6,4,3] => 011110011 => 110011110 => 001100001
[2,11,10,9,8,7,1,6,5,4,3] => 0111110111 => 1110111110 => 0001000001
[2,8,1,4,7,6,5,3] => 0100111 => 1110010 => 0001101
[2,9,8,5,1,7,6,4,3] => 01110111 => 11101110 => 00010001
[5,9,8,7,4,1,2,6,3] => 01111001 => 10011110 => 01100001
[6,10,9,8,2,1,7,5,4,3] => 011110111 => 111011110 => 000100001
[1,11,10,9,8,2,7,6,5,4,3] => 0111101111 => 1111011110 => 0000100001
[1,9,6,2,8,7,5,4,3] => 01101111 => 11110110 => 00001001
[1,8,7,4,3,2,6,5] => 0111101 => 1011110 => 0100001
[6,9,8,5,1,2,7,4,3] => 01110011 => 11001110 => 00110001
[7,10,9,1,2,8,6,5,4,3] => 011001111 => 111100110 => 000011001
[1,11,10,9,2,8,7,6,5,4,3] => 0111011111 => 1111101110 => 0000010001
[1,7,2,9,8,6,5,4,3] => 01011111 => 11111010 => 00000101
[1,8,5,4,2,7,6,3] => 0111011 => 1101110 => 0010001
[7,9,6,2,1,8,5,4,3] => 01110111 => 11101110 => 00010001
[8,10,1,2,9,7,6,5,4,3] => 010011111 => 111110010 => 000001101
[2,11,10,1,9,8,7,6,5,4,3] => 0110111111 => 1111110110 => 0000001001
[8,7,1,2,9,6,5,4,3] => 11001111 => 11110011 => 00001100
[9,2,1,10,8,7,6,5,4,3] => 110111111 => 111111011 => 000000100
[1,11,2,10,9,8,7,6,5,4,3] => 0101111111 => 1111111010 => 0000000101
[1,2,11,10,9,8,7,6,5,4,3] => 0011111111 => 1111111100 => 0000000011
[7,5,3,4,2,8,1,6] => 1101010 => 0101011 => 1010100
[8,5,3,6,2,4,7,1] => 1101001 => 1001011 => 0110100
[8,5,6,3,7,4,2,1] => 1010111 => 1110101 => 0001010
[8,5,6,2,7,4,3,1] => 1010111 => 1110101 => 0001010
[8,7,6,3,4,1,5,2] => 1110101 => 1010111 => 0101000
[1,7,2,3,6,8,5,4] => 0100011 => 1100010 => 0011101
[3,5,6,4,8,2,7,1] => 0010101 => 1010100 => 0101011
[3,5,1,4,8,2,7,6] => 0100101 => 1010010 => 0101101
[1,7,5,4,8,2,6,3] => 0110101 => 1010110 => 0101001
[3,7,5,1,6,4,8,2] => 0110101 => 1010110 => 0101001
[2,7,5,4,8,1,3,6] => 0110100 => 0010110 => 1101001
[2,7,5,4,8,6,1,3] => 0110110 => 0110110 => 1001001
[1,7,5,4,8,6,3,2] => 0110111 => 1110110 => 0001001
[2,5,1,4,8,7,3,6] => 0100110 => 0110010 => 1001101
[3,6,4,2,8,7,1,5] => 0110110 => 0110110 => 1001001
[3,5,2,4,8,1,6,7] => 0100100 => 0010010 => 1101101
[3,5,6,4,8,1,2,7] => 0010100 => 0010100 => 1101011
[1,5,6,4,8,7,2,3] => 0010110 => 0110100 => 1001011
[3,6,4,1,8,7,2,5] => 0110110 => 0110110 => 1001001
[3,6,4,5,8,7,2,1] => 0100111 => 1110010 => 0001101
[1,6,4,3,8,5,2,7] => 0110110 => 0110110 => 1001001
[7,1,3,4,5,8,2,6] => 1000010 => 0100001 => 1011110
[7,6,1,4,5,3,8,2] => 1100101 => 1010011 => 0101100
[7,6,1,3,5,4,8,2] => 1100101 => 1010011 => 0101100
[7,1,3,2,5,8,4,6] => 1010010 => 0100101 => 1011010
[1,6,4,2,8,5,3,7] => 0110110 => 0110110 => 1001001
[7,6,5,8,2,4,3,1] => 1101011 => 1101011 => 0010100
[7,6,5,8,3,1,4,2] => 1101101 => 1011011 => 0100100
[2,6,4,3,8,1,7,5] => 0110101 => 1010110 => 0101001
[2,6,4,3,8,5,7,1] => 0110101 => 1010110 => 0101001
[7,2,3,1,5,8,6,4] => 1010011 => 1100101 => 0011010
[7,1,5,6,3,8,4,2] => 1001011 => 1101001 => 0010110
[7,3,6,5,1,4,8,2] => 1011001 => 1001101 => 0110010
[7,2,6,5,3,8,1,4] => 1011010 => 0101101 => 1010010
[7,2,3,1,4,8,6,5] => 1010011 => 1100101 => 0011010
[7,2,3,5,4,8,6,1] => 1001011 => 1101001 => 0010110
[2,6,4,5,8,1,7,3] => 0100101 => 1010010 => 0101101
[1,5,6,4,8,3,7,2] => 0010101 => 1010100 => 0101011
[2,5,6,4,8,3,1,7] => 0010110 => 0110100 => 1001011
[3,5,6,1,4,7,8,2] => 0010001 => 1000100 => 0111011
[7,6,1,3,4,5,8,2] => 1100001 => 1000011 => 0111100
[7,1,3,2,4,8,5,6] => 1010010 => 0100101 => 1011010
[7,6,1,5,3,4,8,2] => 1101001 => 1001011 => 0110100
[7,6,1,5,4,3,8,2] => 1101101 => 1011011 => 0100100
[1,6,4,5,8,3,2,7] => 0100110 => 0110010 => 1001101
[7,6,5,8,1,3,2,4] => 1101010 => 0101011 => 1010100
[3,4,6,8,7,2,1,5] => 0001110 => 0111000 => 1000111
[3,5,6,8,2,1,7,4] => 0001101 => 1011000 => 0100111
[4,2,1,5,3,7,8,6] => 1101001 => 1001011 => 0110100
[4,2,5,6,3,1,8,7] => 1001101 => 1011001 => 0100110
[3,5,6,8,1,7,2,4] => 0001010 => 0101000 => 1010111
[4,1,5,6,3,2,8,7] => 1001101 => 1011001 => 0100110
[4,5,3,1,7,2,8,6] => 0110101 => 1010110 => 0101001
[4,1,3,5,2,7,8,6] => 1001001 => 1001001 => 0110110
[2,5,4,7,3,8,6,1] => 0101011 => 1101010 => 0010101
[3,5,7,1,8,4,2,6] => 0010110 => 0110100 => 1001011
[4,1,5,3,2,7,8,6] => 1011001 => 1001101 => 0110010
[4,5,3,7,1,2,8,6] => 0101001 => 1001010 => 0110101
[4,3,6,1,2,7,5,8] => 1010010 => 0100101 => 1011010
[5,1,3,2,4,6,7,8] => 1010000 => 0000101 => 1111010
[3,6,1,7,4,5,2,8] => 0101010 => 0101010 => 1010101
[5,1,3,4,2,6,7,8] => 1001000 => 0001001 => 1110110
[5,3,1,4,2,6,7,8] => 1101000 => 0001011 => 1110100
[4,5,2,3,7,1,8,6] => 0100101 => 1010010 => 0101101
[4,2,6,1,3,7,5,8] => 1010010 => 0100101 => 1011010
[4,6,2,1,3,7,5,8] => 0110010 => 0100110 => 1011001
[3,6,2,1,7,4,8,5] => 0110101 => 1010110 => 0101001
[3,1,4,7,6,5,2,8] => 1001110 => 0111001 => 1000110
[3,6,2,7,1,5,8,4] => 0101001 => 1001010 => 0110101
[4,6,2,7,1,3,5,8] => 0101000 => 0001010 => 1110101
[3,5,7,1,8,2,6,4] => 0010101 => 1010100 => 0101011
[5,1,4,2,3,6,7,8] => 1010000 => 0000101 => 1111010
[3,6,1,7,2,5,8,4] => 0101001 => 1001010 => 0110101
[2,6,5,3,4,7,8,1] => 0110001 => 1000110 => 0111001
[3,6,1,7,5,4,2,8] => 0101110 => 0111010 => 1000101
[5,1,4,3,2,6,7,8] => 1011000 => 0001101 => 1110010
[5,4,1,3,2,6,7,8] => 1101000 => 0001011 => 1110100
[6,4,2,5,3,8,1,7] => 1101010 => 0101011 => 1010100
[4,6,2,3,5,1,8,7] => 0100101 => 1010010 => 0101101
[6,2,4,5,1,8,3,7] => 1001010 => 0101001 => 1010110
[8,2,6,7,1,4,5,3] => 1001001 => 1001001 => 0110110
[8,2,6,7,4,1,5,3] => 1001101 => 1011001 => 0100110
[4,6,2,3,5,8,1,7] => 0100010 => 0100010 => 1011101
[2,6,4,1,5,8,3,7] => 0110010 => 0100110 => 1011001
[2,8,1,6,7,4,5,3] => 0100101 => 1010010 => 0101101
[6,8,4,5,7,2,3,1] => 0100101 => 1010010 => 0101101
[2,8,6,1,4,7,5,3] => 0110011 => 1100110 => 0011001
[2,8,1,6,4,7,5,3] => 0101011 => 1101010 => 0010101
[2,6,1,4,8,5,3,7] => 0100110 => 0110010 => 1001101
[6,4,5,2,8,3,1,7] => 1010110 => 0110101 => 1001010
[4,2,3,6,1,8,5,7] => 1001010 => 0101001 => 1010110
[4,2,3,1,6,8,5,7] => 1010010 => 0100101 => 1011010
[4,2,3,8,6,1,7,5] => 1001101 => 1011001 => 0100110
[6,4,5,8,2,3,7,1] => 1001001 => 1001001 => 0110110
[8,6,7,2,4,5,1,3] => 1010010 => 0100101 => 1011010
[6,4,8,5,2,3,7,1] => 1011001 => 1001101 => 0110010
[4,2,8,3,1,6,7,5] => 1011001 => 1001101 => 0110010
[2,4,8,1,3,6,7,5] => 0010001 => 1000100 => 0111011
[2,4,1,8,3,6,7,5] => 0101001 => 1001010 => 0110101
[2,1,4,8,6,3,7,5] => 1001101 => 1011001 => 0100110
[6,4,8,2,5,3,7,1] => 1010101 => 1010101 => 0101010
[8,6,2,4,7,5,1,3] => 1100110 => 0110011 => 1001100
[4,6,8,2,3,5,7,1] => 0010001 => 1000100 => 0111011
[2,6,8,4,1,5,7,3] => 0011001 => 1001100 => 0110011
[2,6,8,1,4,5,7,3] => 0010001 => 1000100 => 0111011
[2,1,6,8,4,5,7,3] => 1001001 => 1001001 => 0110110
[2,8,1,4,6,7,3,5] => 0100010 => 0100010 => 1011101
[4,8,6,2,3,7,5,1] => 0110011 => 1100110 => 0011001
[8,4,2,6,7,3,1,5] => 1100110 => 0110011 => 1001100
[7,6,4,5,1,3,8,2] => 1101001 => 1001011 => 0110100
[1,6,7,5,3,4,8,2] => 0011001 => 1001100 => 0110011
[7,6,2,3,8,4,1,5] => 1100110 => 0110011 => 1001100
[1,6,7,5,8,2,3,4] => 0010100 => 0010100 => 1101011
[6,2,5,8,3,4,7,1] => 1001001 => 1001001 => 0110110
[6,2,3,8,7,4,1,5] => 1001110 => 0111001 => 1000110
[2,4,7,3,5,8,6,1] => 0010011 => 1100100 => 0011011
[2,5,3,7,1,8,4,6] => 0101010 => 0101010 => 1010101
[5,2,8,3,1,4,6,7] => 1011000 => 0001101 => 1110010
[4,8,2,3,6,5,7,1] => 0100101 => 1010010 => 0101101
[5,8,1,3,6,4,7,2] => 0100101 => 1010010 => 0101101
[5,8,1,4,3,6,2,7] => 0101010 => 0101010 => 1010101
[5,8,4,1,3,7,6,2] => 0110011 => 1100110 => 0011001
[6,4,5,3,8,1,7,2] => 1010101 => 1010101 => 0101010
[4,6,5,3,7,1,2,8] => 0110100 => 0010110 => 1101001
[4,5,1,3,6,2,8,7] => 0100101 => 1010010 => 0101101
[4,2,6,5,1,7,3,8] => 1011010 => 0101101 => 1010010
[4,3,5,7,2,1,6,8] => 1001100 => 0011001 => 1100110
[3,4,7,6,8,1,2,5] => 0010100 => 0010100 => 1101011
[3,4,6,2,5,8,7,1] => 0010011 => 1100100 => 0011011
[3,5,2,4,6,1,8,7] => 0100101 => 1010010 => 0101101
[4,2,5,1,6,8,3,7] => 1010010 => 0100101 => 1011010
[1,8,2,3,6,5,7,4] => 0100101 => 1010010 => 0101101
[4,2,8,3,5,7,1,6] => 1010010 => 0100101 => 1011010
[4,3,8,6,5,7,1,2] => 1011010 => 0101101 => 1010010
[1,3,7,2,6,5,8,4] => 0010101 => 1010100 => 0101011
[1,3,6,4,2,5,8,7] => 0011001 => 1001100 => 0110011
[1,5,4,7,3,6,8,2] => 0101001 => 1001010 => 0110101
[5,2,3,8,4,1,7,6] => 1001101 => 1011001 => 0100110
[7,5,3,4,8,2,1,6] => 1100110 => 0110011 => 1001100
[7,2,8,3,4,1,5,6] => 1010100 => 0010101 => 1101010
[7,4,3,8,5,2,6,1] => 1101101 => 1011011 => 0100100
[4,6,2,7,3,1,5,8] => 0101100 => 0011010 => 1100101
[7,6,3,8,2,4,5,1] => 1101001 => 1001011 => 0110100
[7,2,8,5,1,3,4,6] => 1011000 => 0001101 => 1110010
[1,5,3,7,6,8,4,2] => 0101011 => 1101010 => 0010101
[1,6,3,7,8,2,4,5] => 0100100 => 0010010 => 1101101
[1,4,3,7,8,5,2,6] => 0100110 => 0110010 => 1001101
[4,2,6,5,7,8,3,1] => 1010011 => 1100101 => 0011010
[4,2,6,7,5,8,1,3] => 1001010 => 0101001 => 1010110
[3,2,4,7,8,5,1,6] => 1000110 => 0110001 => 1001110
[3,2,6,7,8,1,4,5] => 1000100 => 0010001 => 1101110
[5,1,8,3,6,4,7,2] => 1010101 => 1010101 => 0101010
[3,6,8,5,7,2,1,4] => 0010110 => 0110100 => 1001011
[5,1,3,8,7,6,4,2] => 1001111 => 1111001 => 0000110
[3,8,5,6,1,7,2,4] => 0101010 => 0101010 => 1010101
[3,4,8,1,7,6,2,5] => 0010110 => 0110100 => 1001011
[4,7,6,8,5,1,3,2] => 0101101 => 1011010 => 0100101
[6,7,4,8,5,1,3,2] => 0101101 => 1011010 => 0100101
[6,4,8,3,1,7,5,2] => 1011011 => 1101101 => 0010010
[3,6,5,8,7,1,4,2] => 0101101 => 1011010 => 0100101
[5,7,4,8,2,6,3,1] => 0101011 => 1101010 => 0010101
[5,6,4,8,2,7,3,1] => 0101011 => 1101010 => 0010101
[6,5,3,8,2,7,4,1] => 1101011 => 1101011 => 0010100
[6,4,8,1,3,7,5,2] => 1010011 => 1100101 => 0011010
[7,6,3,1,4,2,5,8] => 1110100 => 0010111 => 1101000
[1,5,4,3,7,8,2,6] => 0110010 => 0100110 => 1011001
[7,8,4,2,5,3,1,6] => 0110110 => 0110110 => 1001001
[4,2,7,8,5,3,1,6] => 1001110 => 0111001 => 1000110
[4,2,5,3,1,7,8,6] => 1011001 => 1001101 => 0110010
[4,2,8,7,6,3,1,5] => 1011110 => 0111101 => 1000010
[4,2,7,6,3,1,5,8] => 1011100 => 0011101 => 1100010
[6,3,1,7,5,2,4,8] => 1101100 => 0011011 => 1100100
[6,3,1,8,7,5,2,4] => 1101110 => 0111011 => 1000100
[8,6,3,1,7,5,2,4] => 1110110 => 0110111 => 1001000
[4,2,7,6,3,1,8,5] => 1011101 => 1011101 => 0100010
[7,6,3,1,8,4,2,5] => 1110110 => 0110111 => 1001000
[7,6,4,2,1,8,3,5] => 1111010 => 0101111 => 1010000
[1,8,2,7,6,4,3,5] => 0101110 => 0111010 => 1000101
[8,3,5,7,6,4,2,1] => 1001111 => 1111001 => 0000110
[8,4,2,5,7,6,3,1] => 1100111 => 1110011 => 0001100
[7,5,2,4,8,6,3,1] => 1100111 => 1110011 => 0001100
[8,7,5,2,4,6,3,1] => 1110011 => 1100111 => 0011000
[7,5,2,4,6,3,1,8] => 1100110 => 0110011 => 1001100
[5,2,8,6,3,7,4,1] => 1011011 => 1101101 => 0010010
[8,4,7,5,2,6,3,1] => 1011011 => 1101101 => 0010010
[8,3,6,4,7,5,2,1] => 1010111 => 1110101 => 0001010
[1,8,2,7,5,3,6,4] => 0101101 => 1011010 => 0100101
[7,5,2,1,8,3,6,4] => 1110101 => 1010111 => 0101000
[7,5,2,6,3,1,8,4] => 1101101 => 1011011 => 0100100
[5,2,7,4,1,8,6,3] => 1011011 => 1101101 => 0010010
[5,2,8,7,4,1,6,3] => 1011101 => 1011101 => 0100010
[8,7,4,1,5,2,6,3] => 1110101 => 1010111 => 0101000
[7,4,1,5,2,8,6,3] => 1101011 => 1101011 => 0010100
[7,6,3,1,4,2,8,5] => 1110101 => 1010111 => 0101000
[7,5,2,8,6,3,1,4] => 1101110 => 0111011 => 1000100
[8,7,5,2,6,3,1,4] => 1110110 => 0110111 => 1001000
[7,5,2,1,3,6,4,8] => 1110010 => 0100111 => 1011000
[8,7,5,2,1,3,6,4] => 1111001 => 1001111 => 0110000
[7,5,2,1,3,8,6,4] => 1110011 => 1100111 => 0011000
[1,3,7,6,5,8,2,4] => 0011010 => 0101100 => 1010011
[8,6,4,7,5,2,1,3] => 1101110 => 0111011 => 1000100
[6,4,8,7,5,2,1,3] => 1011110 => 0111101 => 1000010
[6,4,7,5,2,1,3,8] => 1011100 => 0011101 => 1100010
[6,3,1,4,7,5,2,8] => 1100110 => 0110011 => 1001100
[6,3,1,4,8,7,5,2] => 1100111 => 1110011 => 0001100
[8,6,3,1,4,7,5,2] => 1110011 => 1100111 => 0011000
[8,5,7,6,3,1,4,2] => 1011101 => 1011101 => 0100010
[1,8,2,5,7,6,4,3] => 0100111 => 1110010 => 0001101
[1,8,2,6,4,7,5,3] => 0101011 => 1101010 => 0010101
[7,5,2,1,6,4,8,3] => 1110101 => 1010111 => 0101000
[6,3,8,7,4,1,5,2] => 1011101 => 1011101 => 0100010
[6,3,7,4,1,5,2,8] => 1011010 => 0101101 => 1010010
[7,4,1,6,3,5,2,8] => 1101010 => 0101011 => 1010100
[7,4,1,8,6,3,5,2] => 1101101 => 1011011 => 0100100
[8,4,6,3,1,7,5,2] => 1011011 => 1101101 => 0010010
[6,4,7,5,2,1,8,3] => 1011101 => 1011101 => 0100010
[1,6,4,7,5,3,8,2] => 0101101 => 1011010 => 0100101
[8,6,3,5,2,7,4,1] => 1101011 => 1101011 => 0010100
[6,3,5,2,8,7,4,1] => 1010111 => 1110101 => 0001010
[6,3,5,2,7,4,1,8] => 1010110 => 0110101 => 1001010
[1,4,7,3,5,2,6,8] => 0010100 => 0010100 => 1101011
[5,7,4,2,6,3,1,8] => 0110110 => 0110110 => 1001001
[4,2,6,3,5,7,1,8] => 1010010 => 0100101 => 1011010
[2,4,5,8,1,6,7,3] => 0001001 => 1001000 => 0110111
[6,1,3,7,4,2,5,8] => 1001100 => 0011001 => 1100110
[3,2,6,8,1,5,7,4] => 1001001 => 1001001 => 0110110
[8,2,6,1,5,4,7,3] => 1010101 => 1010101 => 0101010
[8,6,2,7,1,5,4,3] => 1101011 => 1101011 => 0010100
[7,6,8,3,1,5,4,2] => 1011011 => 1101101 => 0010010
[6,3,7,2,8,1,5,4] => 1010101 => 1010101 => 0101010
[7,5,2,8,6,1,4,3] => 1101101 => 1011011 => 0100100
[2,7,3,8,1,5,6,4] => 0101001 => 1001010 => 0110101
[1,6,8,5,2,4,3,7] => 0011010 => 0101100 => 1010011
[4,5,7,2,8,1,6,3] => 0010101 => 1010100 => 0101011
[8,4,6,5,3,1,7,2] => 1011101 => 1011101 => 0100010
[4,5,3,1,7,2,6,8] => 0110100 => 0010110 => 1101001
[7,8,1,2,4,3,6,5] => 0100101 => 1010010 => 0101101
[8,4,1,6,2,3,7,5] => 1101001 => 1001011 => 0110100
[4,1,3,6,5,7,8,2] => 1001001 => 1001001 => 0110110
[6,1,3,4,2,8,5,7] => 1001010 => 0101001 => 1010110
[8,1,4,2,5,7,6,3] => 1010011 => 1100101 => 0011010
[8,1,4,3,5,7,6,2] => 1010011 => 1100101 => 0011010
[5,2,4,1,3,7,8,6] => 1010001 => 1000101 => 0111010
[2,6,5,3,1,7,8,4] => 0111001 => 1001110 => 0110001
[8,3,2,1,5,7,6,4] => 1110011 => 1100111 => 0011000
[1,7,4,3,6,8,2,5] => 0110010 => 0100110 => 1011001
[2,7,6,3,1,8,4,5] => 0111010 => 0101110 => 1010001
[2,8,4,6,3,7,5,1] => 0101011 => 1101010 => 0010101
[8,7,1,3,6,5,4,2] => 1100111 => 1110011 => 0001100
[1,8,5,7,4,2,6,3] => 0101101 => 1011010 => 0100101
[3,8,6,5,7,1,4,2] => 0110101 => 1010110 => 0101001
[4,8,6,2,7,1,5,3] => 0110101 => 1010110 => 0101001
[4,7,5,3,8,2,1,6] => 0110110 => 0110110 => 1001001
[1,6,5,8,3,4,2,7] => 0101010 => 0101010 => 1010101
[6,1,5,3,8,4,2,7] => 1010110 => 0110101 => 1001010
[8,1,5,4,7,2,6,3] => 1010101 => 1010101 => 0101010
[2,1,4,7,5,8,3,6] => 1001010 => 0101001 => 1010110
[6,3,5,8,7,4,1,2] => 1001110 => 0111001 => 1000110
[4,7,2,8,5,6,3,1] => 0101011 => 1101010 => 0010101
[1,4,8,7,3,5,6,2] => 0011001 => 1001100 => 0110011
[8,1,7,6,3,5,4,2] => 1011011 => 1101101 => 0010010
[3,6,8,5,7,4,1,2] => 0010110 => 0110100 => 1001011
[4,7,6,8,5,3,1,2] => 0101110 => 0111010 => 1000101
[5,7,2,8,6,4,1,3] => 0101110 => 0111010 => 1000101
[3,8,7,5,6,4,2,1] => 0110111 => 1110110 => 0001001
[2,8,7,6,4,5,3,1] => 0111011 => 1101110 => 0010001
[1,8,7,6,5,3,4,2] => 0111101 => 1011110 => 0100001
[4,6,7,2,5,3,1,8] => 0010110 => 0110100 => 1001011
[2,4,7,8,1,6,5,3] => 0001011 => 1101000 => 0010111
[4,2,6,8,7,1,5,3] => 1001101 => 1011001 => 0100110
[5,1,8,4,2,7,6,3] => 1011011 => 1101101 => 0010010
[6,8,3,7,1,5,4,2] => 0101011 => 1101010 => 0010101
[2,7,3,8,1,6,5,4] => 0101011 => 1101010 => 0010101
[2,6,8,4,1,7,5,3] => 0011011 => 1101100 => 0010011
[4,6,7,1,2,8,5,3] => 0010011 => 1100100 => 0011011
[3,6,1,8,2,7,5,4] => 0101011 => 1101010 => 0010101
[5,7,4,1,2,8,6,3] => 0110011 => 1100110 => 0011001
[6,3,7,1,2,8,5,4] => 1010011 => 1100101 => 0011010
[8,1,5,6,3,2,4,7] => 1001100 => 0011001 => 1100110
[1,7,8,3,5,2,4,6] => 0010100 => 0010100 => 1101011
[8,5,3,7,2,4,6,1] => 1101001 => 1001011 => 0110100
[1,7,2,4,8,5,3,6] => 0100110 => 0110010 => 1001101
[1,7,8,5,4,3,2,6] => 0011110 => 0111100 => 1000011
[2,6,8,7,4,3,5,1] => 0011101 => 1011100 => 0100011
[1,2,6,7,8,4,3,5] => 0000110 => 0110000 => 1001111
[2,7,5,8,4,1,3,6] => 0101100 => 0011010 => 1100101
[2,1,7,8,4,5,3,6] => 1001010 => 0101001 => 1010110
[3,7,8,2,1,5,4,6] => 0011010 => 0101100 => 1010011
[8,5,1,4,7,3,6,2] => 1100101 => 1010011 => 0101100
[8,4,7,5,3,6,1,2] => 1011010 => 0101101 => 1010010
[8,1,4,6,7,3,5,2] => 1000101 => 1010001 => 0101110
[3,5,8,6,7,4,1,2] => 0010110 => 0110100 => 1001011
[3,6,8,4,7,1,5,2] => 0010101 => 1010100 => 0101011
[4,7,1,3,6,8,2,5] => 0100010 => 0100010 => 1011101
[3,7,6,4,8,1,2,5] => 0110100 => 0010110 => 1101001
[3,1,7,5,6,8,2,4] => 1010010 => 0100101 => 1011010
[2,3,6,5,7,1,8,4] => 0010101 => 1010100 => 0101011
[3,7,5,4,2,1,8,6] => 0111101 => 1011110 => 0100001
[1,3,6,7,4,2,8,5] => 0001101 => 1011000 => 0100111
[3,6,4,8,2,7,5,1] => 0101011 => 1101010 => 0010101
[1,4,6,3,2,7,8,5] => 0011001 => 1001100 => 0110011
[8,7,1,5,6,3,2,4] => 1100110 => 0110011 => 1001100
[8,1,6,7,5,3,2,4] => 1001110 => 0111001 => 1000110
[1,7,8,6,5,3,2,4] => 0011110 => 0111100 => 1000011
[8,7,2,4,6,5,3,1] => 1100111 => 1110011 => 0001100
[1,7,8,2,6,4,5,3] => 0010101 => 1010100 => 0101011
[8,7,2,5,4,6,1,3] => 1101010 => 0101011 => 1010100
[8,7,2,5,3,1,6,4] => 1101101 => 1011011 => 0100100
[8,7,3,2,1,5,6,4] => 1111001 => 1001111 => 0110000
[8,2,6,7,3,1,5,4] => 1001101 => 1011001 => 0100110
[1,7,2,8,5,6,4,3] => 0101011 => 1101010 => 0010101
[2,7,1,8,4,6,5,3] => 0101011 => 1101010 => 0010101
[3,7,8,2,1,6,5,4] => 0011011 => 1101100 => 0010011
[8,7,6,1,4,5,3,2] => 1110011 => 1100111 => 0011000
[4,8,1,2,3,7,5,6] => 0100010 => 0100010 => 1011101
[1,8,2,3,6,5,4,7] => 0100110 => 0110010 => 1001101
[3,5,8,4,7,2,6,1] => 0010101 => 1010100 => 0101011
[1,8,5,4,6,2,3,7] => 0110100 => 0010110 => 1101001
[3,8,5,4,6,1,2,7] => 0110100 => 0010110 => 1101001
[3,8,5,1,6,4,2,7] => 0110110 => 0110110 => 1001001
[2,8,5,4,6,1,3,7] => 0110100 => 0010110 => 1101001
[2,8,5,4,6,3,1,7] => 0110110 => 0110110 => 1001001
[1,8,5,4,6,3,2,7] => 0110110 => 0110110 => 1001001
[2,5,8,4,7,3,6,1] => 0010101 => 1010100 => 0101011
[3,6,4,2,7,8,5,1] => 0110011 => 1100110 => 0011001
[3,5,4,1,6,2,7,8] => 0110100 => 0010110 => 1101001
[4,5,8,1,7,6,2,3] => 0010110 => 0110100 => 1001011
[3,5,8,4,7,1,6,2] => 0010101 => 1010100 => 0101011
[1,5,8,4,7,3,6,2] => 0010101 => 1010100 => 0101011
[3,6,4,1,7,8,5,2] => 0110011 => 1100110 => 0011001
[3,6,4,8,7,5,2,1] => 0101111 => 1111010 => 0000101
[1,6,4,3,7,8,5,2] => 0110011 => 1100110 => 0011001
[7,1,3,4,8,6,5,2] => 1000111 => 1110001 => 0001110
[7,6,1,3,8,4,2,5] => 1100110 => 0110011 => 1001100
[1,6,4,2,7,8,3,5] => 0110010 => 0100110 => 1011001
[2,6,4,3,7,1,8,5] => 0110101 => 1010110 => 0101001
[2,6,4,1,7,8,3,5] => 0110010 => 0100110 => 1011001
[7,2,3,4,8,6,5,1] => 1000111 => 1110001 => 0001110
[7,2,3,1,8,6,4,5] => 1010110 => 0110101 => 1001010
[7,2,3,4,1,6,8,5] => 1001001 => 1001001 => 0110110
[1,2,4,3,8,5,7,6] => 0010101 => 1010100 => 0101011
[7,3,8,6,1,4,2,5] => 1011010 => 0101101 => 1010010
[7,2,8,6,3,4,1,5] => 1011010 => 0101101 => 1010010
[7,2,3,1,5,6,8,4] => 1010001 => 1000101 => 0111010
[7,2,3,8,1,6,5,4] => 1001011 => 1101001 => 0010110
[7,2,3,8,5,6,4,1] => 1001011 => 1101001 => 0010110
[2,6,4,8,7,1,5,3] => 0101101 => 1011010 => 0100101
[1,5,8,4,7,6,2,3] => 0010110 => 0110100 => 1001011
[3,5,8,1,6,7,2,4] => 0010010 => 0100100 => 1011011
[7,6,1,3,5,8,2,4] => 1100010 => 0100011 => 1011100
[7,1,3,2,5,6,8,4] => 1010001 => 1000101 => 0111010
[7,1,3,8,2,6,5,4] => 1001011 => 1101001 => 0010110
[7,6,1,8,5,4,2,3] => 1101110 => 0111011 => 1000100
[3,2,6,5,8,4,7,1] => 1010101 => 1010101 => 0101010
[4,3,7,1,6,5,8,2] => 1010101 => 1010101 => 0101010
[5,2,6,4,8,3,7,1] => 1010101 => 1010101 => 0101010
[4,3,7,5,8,2,6,1] => 1010101 => 1010101 => 0101010
[5,3,7,4,8,2,6,1] => 1010101 => 1010101 => 0101010
[5,3,7,4,8,1,6,2] => 1010101 => 1010101 => 0101010
[5,4,8,1,6,2,7,3] => 1010101 => 1010101 => 0101010
[4,3,7,1,5,2,8,6] => 1010101 => 1010101 => 0101010
[5,4,8,2,6,3,7,1] => 1010101 => 1010101 => 0101010
[5,4,8,1,6,3,7,2] => 1010101 => 1010101 => 0101010
[4,1,7,5,2,3,6,8] => 1011000 => 0001101 => 1110010
[4,1,7,8,6,3,2,5] => 1001110 => 0111001 => 1000110
[4,7,2,8,3,5,1,6] => 0101010 => 0101010 => 1010101
[6,8,3,2,1,4,7,5] => 0111001 => 1001110 => 0110001
[7,2,4,1,6,5,8,3] => 1010101 => 1010101 => 0101010
[7,5,8,4,3,1,6,2] => 1011101 => 1011101 => 0100010
[6,8,2,4,1,3,7,5] => 0101001 => 1001010 => 0110101
[2,8,4,7,6,3,5,1] => 0101101 => 1011010 => 0100101
[6,1,2,7,5,8,4,3] => 1001011 => 1101001 => 0010110
[4,2,7,3,8,5,6,1] => 1010101 => 1010101 => 0101010
[4,5,2,6,8,3,7,1] => 0100101 => 1010010 => 0101101
[4,8,3,2,5,7,6,1] => 0110011 => 1100110 => 0011001
[7,2,4,3,8,5,6,1] => 1010101 => 1010101 => 0101010
[6,8,5,3,4,7,2,1] => 0110011 => 1100110 => 0011001
[8,4,7,6,2,3,5,1] => 1011001 => 1001101 => 0110010
[6,8,4,1,5,3,7,2] => 0110101 => 1010110 => 0101001
[8,3,4,7,6,2,5,1] => 1001101 => 1011001 => 0100110
[1,8,3,5,2,6,7,4] => 0101001 => 1001010 => 0110101
[6,8,3,5,1,4,7,2] => 0101001 => 1001010 => 0110101
[6,8,5,4,2,3,7,1] => 0111001 => 1001110 => 0110001
[5,8,2,4,3,7,6,1] => 0101011 => 1101010 => 0010101
[8,2,1,3,5,6,4,7] => 1100010 => 0100011 => 1011100
[8,2,1,3,5,4,7,6] => 1100101 => 1010011 => 0101100
[8,2,1,3,4,6,7,5] => 1100001 => 1000011 => 0111100
[8,1,3,4,2,6,5,7] => 1001010 => 0101001 => 1010110
[8,1,3,4,2,5,7,6] => 1001001 => 1001001 => 0110110
[8,1,3,2,5,6,4,7] => 1010010 => 0100101 => 1011010
[8,1,2,4,5,3,7,6] => 1000101 => 1010001 => 0101110
[8,1,2,4,3,6,7,5] => 1001001 => 1001001 => 0110110
[10,2,1,4,3,6,5,8,7,9] => 110101010 => 010101011 => 101010100
[10,2,1,4,3,6,5,7,9,8] => 110101001 => 100101011 => 011010100
[10,2,1,4,3,5,7,8,6,9] => 110100010 => 010001011 => 101110100
[10,2,1,4,3,5,7,6,9,8] => 110100101 => 101001011 => 010110100
[10,2,1,4,3,5,6,8,9,7] => 110100001 => 100001011 => 011110100
[10,2,1,3,5,6,4,8,7,9] => 110001010 => 010100011 => 101011100
[10,2,1,3,5,6,4,7,9,8] => 110001001 => 100100011 => 011011100
[10,2,1,3,5,4,7,8,6,9] => 110010010 => 010010011 => 101101100
[10,2,1,3,5,4,7,6,9,8] => 110010101 => 101010011 => 010101100
[10,2,1,3,5,4,6,8,9,7] => 110010001 => 100010011 => 011101100
[10,2,1,3,4,6,7,8,5,9] => 110000010 => 010000011 => 101111100
[10,2,1,3,4,6,7,5,9,8] => 110000101 => 101000011 => 010111100
[10,2,1,3,4,6,5,8,9,7] => 110001001 => 100100011 => 011011100
[10,2,1,3,4,5,7,8,9,6] => 110000001 => 100000011 => 011111100
[10,1,3,4,2,6,5,8,7,9] => 100101010 => 010101001 => 101010110
[10,1,3,4,2,6,5,7,9,8] => 100101001 => 100101001 => 011010110
[10,1,3,4,2,5,7,8,6,9] => 100100010 => 010001001 => 101110110
[10,1,3,4,2,5,7,6,9,8] => 100100101 => 101001001 => 010110110
[10,1,3,4,2,5,6,8,9,7] => 100100001 => 100001001 => 011110110
[10,1,3,2,5,6,4,8,7,9] => 101001010 => 010100101 => 101011010
[10,1,3,2,5,6,4,7,9,8] => 101001001 => 100100101 => 011011010
[10,1,3,2,5,4,7,8,6,9] => 101010010 => 010010101 => 101101010
[10,1,3,2,5,4,7,6,9,8] => 101010101 => 101010101 => 010101010
[10,1,3,2,5,4,6,8,9,7] => 101010001 => 100010101 => 011101010
[10,1,3,2,4,6,7,8,5,9] => 101000010 => 010000101 => 101111010
[10,1,3,2,4,6,7,5,9,8] => 101000101 => 101000101 => 010111010
[10,1,3,2,4,6,5,8,9,7] => 101001001 => 100100101 => 011011010
[10,1,3,2,4,5,7,8,9,6] => 101000001 => 100000101 => 011111010
[10,1,2,4,5,6,3,8,7,9] => 100001010 => 010100001 => 101011110
[10,1,2,4,5,6,3,7,9,8] => 100001001 => 100100001 => 011011110
[10,1,2,4,5,3,7,8,6,9] => 100010010 => 010010001 => 101101110
[10,1,2,4,5,3,7,6,9,8] => 100010101 => 101010001 => 010101110
[10,1,2,4,5,3,6,8,9,7] => 100010001 => 100010001 => 011101110
[10,1,2,4,3,6,7,8,5,9] => 100100010 => 010001001 => 101110110
[10,1,2,4,3,6,7,5,9,8] => 100100101 => 101001001 => 010110110
[10,1,2,4,3,6,5,8,9,7] => 100101001 => 100101001 => 011010110
[10,1,2,4,3,5,7,8,9,6] => 100100001 => 100001001 => 011110110
[10,1,2,3,5,6,7,8,4,9] => 100000010 => 010000001 => 101111110
[10,1,2,3,5,6,7,4,9,8] => 100000101 => 101000001 => 010111110
[10,1,2,3,5,6,4,8,9,7] => 100001001 => 100100001 => 011011110
[10,1,2,3,5,4,7,8,9,6] => 100010001 => 100010001 => 011101110
[10,1,2,3,4,6,7,8,9,5] => 100000001 => 100000001 => 011111110
[12,2,1,4,3,6,5,8,7,10,9,11] => 11010101010 => 01010101011 => 10101010100
[12,2,1,4,3,6,5,8,7,9,11,10] => 11010101001 => 10010101011 => 01101010100
[12,2,1,4,3,6,5,7,9,8,11,10] => 11010100101 => 10100101011 => 01011010100
[12,2,1,4,3,6,5,7,8,10,11,9] => 11010100001 => 10000101011 => 01111010100
[12,2,1,4,3,5,7,6,9,8,11,10] => 11010010101 => 10101001011 => 01010110100
[12,2,1,4,3,5,6,7,9,10,11,8] => 11010000001 => 10000001011 => 01111110100
[12,2,1,3,5,6,4,7,8,10,11,9] => 11000100001 => 10000100011 => 01111011100
[12,2,1,3,5,4,7,6,9,8,11,10] => 11001010101 => 10101010011 => 01010101100
[12,2,1,3,5,4,6,7,9,10,11,8] => 11001000001 => 10000010011 => 01111101100
[12,2,1,3,4,6,7,8,5,10,9,11] => 11000001010 => 01010000011 => 10101111100
[12,2,1,3,4,6,7,8,5,9,11,10] => 11000001001 => 10010000011 => 01101111100
[12,2,1,3,4,6,7,5,9,10,8,11] => 11000010010 => 01001000011 => 10110111100
[12,2,1,3,4,6,7,5,9,8,11,10] => 11000010101 => 10101000011 => 01010111100
[12,2,1,3,4,6,7,5,8,10,11,9] => 11000010001 => 10001000011 => 01110111100
[12,2,1,3,4,6,5,7,9,10,11,8] => 11000100001 => 10000100011 => 01111011100
[12,2,1,3,4,5,7,8,9,10,6,11] => 11000000010 => 01000000011 => 10111111100
[12,2,1,3,4,5,7,8,9,6,11,10] => 11000000101 => 10100000011 => 01011111100
[12,2,1,3,4,5,7,8,6,10,11,9] => 11000001001 => 10010000011 => 01101111100
[12,2,1,3,4,5,7,6,9,10,11,8] => 11000010001 => 10001000011 => 01110111100
[12,2,1,3,4,5,6,8,9,10,11,7] => 11000000001 => 10000000011 => 01111111100
[12,1,3,4,2,6,5,7,8,10,11,9] => 10010100001 => 10000101001 => 01111010110
[12,1,3,4,2,5,7,6,8,10,11,9] => 10010010001 => 10001001001 => 01110110110
[12,1,3,4,2,5,6,8,9,10,7,11] => 10010000010 => 01000001001 => 10111110110
[12,1,3,2,5,6,4,7,8,10,11,9] => 10100100001 => 10000100101 => 01111011010
[12,1,3,2,5,4,7,6,9,8,11,10] => 10101010101 => 10101010101 => 01010101010
[12,1,3,2,5,4,7,6,8,10,11,9] => 10101010001 => 10001010101 => 01110101010
[12,1,3,2,5,4,6,7,9,10,11,8] => 10101000001 => 10000010101 => 01111101010
[12,1,3,2,4,6,5,7,9,10,11,8] => 10100100001 => 10000100101 => 01111011010
[12,1,3,2,4,5,7,8,9,10,6,11] => 10100000010 => 01000000101 => 10111111010
[12,1,3,2,4,5,6,8,9,10,11,7] => 10100000001 => 10000000101 => 01111111010
[12,1,2,4,5,6,3,7,9,10,8,11] => 10000100010 => 01000100001 => 10111011110
[12,1,2,4,5,3,7,8,6,10,9,11] => 10001001010 => 01010010001 => 10101101110
[12,1,2,4,5,3,7,8,6,9,11,10] => 10001001001 => 10010010001 => 01101101110
[12,1,2,4,5,3,7,6,9,10,8,11] => 10001010010 => 01001010001 => 10110101110
[12,1,2,4,5,3,7,6,9,8,11,10] => 10001010101 => 10101010001 => 01010101110
[12,1,2,4,5,3,6,8,9,10,7,11] => 10001000010 => 01000010001 => 10111101110
[12,1,2,4,5,3,6,8,7,10,11,9] => 10001001001 => 10010010001 => 01101101110
[12,1,2,4,5,3,6,7,9,10,11,8] => 10001000001 => 10000010001 => 01111101110
[12,1,2,4,3,6,7,5,8,10,11,9] => 10010010001 => 10001001001 => 01110110110
[12,1,2,4,3,6,5,7,9,10,11,8] => 10010100001 => 10000101001 => 01111010110
[12,1,2,4,3,5,7,8,9,10,6,11] => 10010000010 => 01000001001 => 10111110110
[12,1,2,4,3,5,7,6,9,10,11,8] => 10010010001 => 10001001001 => 01110110110
[12,1,2,3,5,6,7,8,4,10,9,11] => 10000001010 => 01010000001 => 10101111110
[12,1,2,3,5,6,7,8,4,9,11,10] => 10000001001 => 10010000001 => 01101111110
[12,1,2,3,5,6,7,4,9,10,8,11] => 10000010010 => 01001000001 => 10110111110
[12,1,2,3,5,6,7,4,9,8,11,10] => 10000010101 => 10101000001 => 01010111110
[12,1,2,3,5,6,7,4,8,10,11,9] => 10000010001 => 10001000001 => 01110111110
[12,1,2,3,5,6,4,8,9,10,7,11] => 10000100010 => 01000100001 => 10111011110
[12,1,2,3,5,4,7,8,9,10,6,11] => 10001000010 => 01000010001 => 10111101110
[12,1,2,3,5,4,7,8,6,10,11,9] => 10001001001 => 10010010001 => 01101101110
[12,1,2,3,5,4,6,8,9,10,11,7] => 10001000001 => 10000010001 => 01111101110
[12,1,2,3,4,6,7,8,9,10,5,11] => 10000000010 => 01000000001 => 10111111110
[12,1,2,3,4,6,7,8,9,5,11,10] => 10000000101 => 10100000001 => 01011111110
[12,1,2,3,4,6,7,8,5,10,11,9] => 10000001001 => 10010000001 => 01101111110
[12,1,2,3,4,6,7,5,9,10,11,8] => 10000010001 => 10001000001 => 01110111110
[12,1,2,3,4,5,7,8,9,10,11,6] => 10000000001 => 10000000001 => 01111111110
[6,5,3,8,4,2,7,1] => 1101101 => 1011011 => 0100100
[7,4,5,1,6,2,8,3] => 1010101 => 1010101 => 0101010
[4,7,3,5,6,2,8,1] => 0100101 => 1010010 => 0101101
[6,7,8,4,1,3,5,2] => 0011001 => 1001100 => 0110011
[3,1,6,8,4,7,5,2] => 1001011 => 1101001 => 0010110
[8,3,6,1,5,7,4,2] => 1010011 => 1100101 => 0011010
[3,2,7,5,8,6,1,4] => 1010110 => 0110101 => 1001010
[2,5,4,7,8,1,6,3] => 0100101 => 1010010 => 0101101
[2,4,6,7,8,1,5,3] => 0000101 => 1010000 => 0101111
[2,4,6,8,1,7,5,3] => 0001011 => 1101000 => 0010111
[7,4,3,8,6,2,1,5] => 1101110 => 0111011 => 1000100
[2,4,7,8,3,5,6,1] => 0001001 => 1001000 => 0110111
[3,2,7,6,1,8,4,5] => 1011010 => 0101101 => 1010010
[3,2,6,8,1,7,4,5] => 1001010 => 0101001 => 1010110
[4,3,6,2,1,8,5,7] => 1011010 => 0101101 => 1010010
[3,6,4,2,5,8,1,7] => 0110010 => 0100110 => 1011001
[4,6,2,3,7,5,8,1] => 0100101 => 1010010 => 0101101
[5,8,4,2,3,6,7,1] => 0110001 => 1000110 => 0111001
[8,4,5,3,2,1,7,6] => 1011101 => 1011101 => 0100010
[5,8,3,4,2,1,7,6] => 0101101 => 1011010 => 0100101
[6,8,4,2,3,7,5,1] => 0110011 => 1100110 => 0011001
[6,4,8,3,2,7,1,5] => 1011010 => 0101101 => 1010010
[5,8,3,7,2,1,6,4] => 0101101 => 1011010 => 0100101
[2,5,6,4,7,1,8,3] => 0010101 => 1010100 => 0101011
[2,5,4,8,1,6,7,3] => 0101001 => 1001010 => 0110101
[6,4,7,3,8,2,1,5] => 1010110 => 0110101 => 1001010
[6,7,4,3,2,1,8,5] => 0111101 => 1011110 => 0100001
[8,4,3,7,2,1,5,6] => 1101100 => 0011011 => 1100100
[1,2,6,5,8,7,3,4] => 0010110 => 0110100 => 1001011
[1,5,2,8,4,6,7,3] => 0101001 => 1001010 => 0110101
[1,5,2,7,4,6,8,3] => 0101001 => 1001010 => 0110101
[5,1,2,7,3,6,8,4] => 1001001 => 1001001 => 0110110
[5,1,2,8,3,6,7,4] => 1001001 => 1001001 => 0110110
[5,6,3,4,8,7,2,1] => 0100111 => 1110010 => 0001101
[6,5,3,4,8,7,2,1] => 1100111 => 1110011 => 0001100
[4,1,2,8,3,6,7,5] => 1001001 => 1001001 => 0110110
[4,1,2,7,3,6,8,5] => 1001001 => 1001001 => 0110110
[7,5,3,8,4,6,2,1] => 1101011 => 1101011 => 0010100
[8,5,3,7,4,6,2,1] => 1101011 => 1101011 => 0010100
[5,8,1,2,3,4,7,6] => 0100001 => 1000010 => 0111101
[7,1,2,8,3,6,4,5] => 1001010 => 0101001 => 1010110
[6,1,8,2,3,5,7,4] => 1010001 => 1000101 => 0111010
[6,1,7,2,3,5,8,4] => 1010001 => 1000101 => 0111010
[1,6,8,2,4,5,7,3] => 0010001 => 1000100 => 0111011
[4,3,8,7,5,6,2,1] => 1011011 => 1101101 => 0010010
[1,8,2,7,4,6,5,3] => 0101011 => 1101010 => 0010101
[7,1,6,2,3,5,8,4] => 1010001 => 1000101 => 0111010
[8,1,6,2,3,5,7,4] => 1010001 => 1000101 => 0111010
[8,1,7,2,3,5,6,4] => 1010001 => 1000101 => 0111010
[5,8,3,7,4,6,2,1] => 0101011 => 1101010 => 0010101
[6,8,7,3,4,5,2,1] => 0110011 => 1100110 => 0011001
[1,8,7,2,4,5,3,6] => 0110010 => 0100110 => 1011001
[8,7,1,2,3,4,6,5] => 1100001 => 1000011 => 0111100
[8,6,1,2,3,4,7,5] => 1100001 => 1000011 => 0111100
[8,1,6,2,3,5,4,7] => 1010010 => 0100101 => 1011010
[1,7,6,2,4,5,3,8] => 0110010 => 0100110 => 1011001
[1,8,7,4,6,3,5,2] => 0110101 => 1010110 => 0101001
[6,3,7,5,1,4,8,2] => 1011001 => 1001101 => 0110010
[1,8,3,5,7,2,6,4] => 0100101 => 1010010 => 0101101
[2,3,4,6,8,5,7,1] => 0000101 => 1010000 => 0101111
[2,3,5,7,4,8,6,1] => 0001011 => 1101000 => 0010111
[2,4,6,3,7,8,5,1] => 0010011 => 1100100 => 0011011
[2,5,7,1,8,6,3,4] => 0010110 => 0110100 => 1001011
[1,3,8,5,2,4,6,7] => 0011000 => 0001100 => 1110011
[2,6,7,1,8,4,5,3] => 0010101 => 1010100 => 0101011
[5,8,3,1,4,2,6,7] => 0110100 => 0010110 => 1101001
[3,8,4,2,6,7,1,5] => 0110010 => 0100110 => 1011001
[2,4,1,8,5,6,3,7] => 0101010 => 0101010 => 1010101
[1,6,2,7,8,5,3,4] => 0100110 => 0110010 => 1001101
[3,5,2,6,7,8,4,1] => 0100011 => 1100010 => 0011101
[4,5,1,6,7,3,8,2] => 0100101 => 1010010 => 0101101
[2,8,4,1,7,5,3,6] => 0110110 => 0110110 => 1001001
[8,5,3,1,7,4,2,6] => 1110110 => 0110111 => 1001000
[4,2,8,7,1,5,3,6] => 1011010 => 0101101 => 1010010
[5,2,6,8,1,7,4,3] => 1001011 => 1101001 => 0010110
[5,7,3,2,6,8,1,4] => 0110010 => 0100110 => 1011001
[8,4,7,3,1,6,2,5] => 1011010 => 0101101 => 1010010
[6,7,1,2,3,5,8,4] => 0100001 => 1000010 => 0111101
[3,1,6,7,8,4,2,5] => 1000110 => 0110001 => 1001110
[3,1,4,8,5,6,2,7] => 1001010 => 0101001 => 1010110
[8,3,1,4,5,7,2,6] => 1100010 => 0100011 => 1011100
[1,6,7,8,9,2,3,4,5] => 00001000 => 00010000 => 11101111
[6,7,8,9,1,2,3,4,5,10] => 000100000 => 000001000 => 111110111
[6,7,8,1,2,3,4,5,9] => 00100000 => 00000100 => 11111011
[1,7,8,9,2,3,4,5,6] => 00010000 => 00001000 => 11110111
[1,7,8,9,10,2,3,4,5,6] => 000010000 => 000010000 => 111101111
[6,7,8,9,10,1,2,3,4,5,11] => 0000100000 => 0000010000 => 1111101111
[5,6,7,8,9,1,2,3,4,10] => 000010000 => 000010000 => 111101111
[5,6,7,1,8,2,3,4,9] => 00101000 => 00010100 => 11101011
[4,6,7,8,1,2,3,5,9] => 00010000 => 00001000 => 11110111
[1,6,7,8,2,9,3,4,5] => 00010100 => 00101000 => 11010111
[1,5,7,8,9,2,3,4,6] => 00001000 => 00010000 => 11101111
[1,6,7,8,9,10,2,3,4,5] => 000001000 => 000100000 => 111011111
[1,7,8,9,10,11,2,3,4,5,6] => 0000010000 => 0000100000 => 1111011111
[8,6,2,3,5,1,4,7] => 1100100 => 0010011 => 1101100
[8,2,4,5,7,3,1,6] => 1000110 => 0110001 => 1001110
[2,6,3,8,7,5,4,1] => 0101111 => 1111010 => 0000101
[8,2,3,7,5,4,1,6] => 1001110 => 0111001 => 1000110
[8,2,6,3,5,4,1,7] => 1010110 => 0110101 => 1001010
[8,6,1,5,2,4,3,7] => 1101010 => 0101011 => 1010100
[8,6,2,4,1,5,3,7] => 1101010 => 0101011 => 1010100
[8,4,1,6,5,3,2,7] => 1101110 => 0111011 => 1000100
[8,3,6,1,5,4,2,7] => 1010110 => 0110101 => 1001010
[8,3,2,6,5,4,1,7] => 1101110 => 0111011 => 1000100
[8,3,2,5,7,4,1,6] => 1100110 => 0110011 => 1001100
[8,3,1,7,5,4,2,6] => 1101110 => 0111011 => 1000100
[8,2,7,4,1,5,3,6] => 1011010 => 0101101 => 1010010
[6,1,3,8,7,5,4,2] => 1001111 => 1111001 => 0000110
[3,6,1,8,7,5,4,2] => 0101111 => 1111010 => 0000101
[3,8,1,5,7,6,4,2] => 0100111 => 1110010 => 0001101
[3,5,2,8,7,6,4,1] => 0101111 => 1111010 => 0000101
[3,4,8,2,7,6,5,1] => 0010111 => 1110100 => 0001011
[3,4,8,7,1,6,5,2] => 0011011 => 1101100 => 0010011
[8,1,3,5,7,6,4,2] => 1000111 => 1110001 => 0001110
[4,1,8,5,7,6,3,2] => 1010111 => 1110101 => 0001010
[8,2,7,1,4,5,6,3] => 1010001 => 1000101 => 0111010
[8,1,7,3,4,6,2,5] => 1010010 => 0100101 => 1011010
[8,3,1,7,2,6,5,4] => 1101011 => 1101011 => 0010100
[3,8,2,4,7,6,5,1] => 0100111 => 1110010 => 0001101
[2,8,3,7,4,6,5,1] => 0101011 => 1101010 => 0010101
[8,2,3,7,1,6,5,4] => 1001011 => 1101001 => 0010110
[8,2,7,1,3,6,5,4] => 1010011 => 1100101 => 0011010
[8,1,7,2,6,4,3,5] => 1010110 => 0110101 => 1001010
[8,1,7,5,2,4,3,6] => 1011010 => 0101101 => 1010010
[8,2,3,7,4,6,1,5] => 1001010 => 0101001 => 1010110
[2,4,8,5,7,6,3,1] => 0010111 => 1110100 => 0001011
[8,2,4,3,7,6,1,5] => 1010110 => 0110101 => 1001010
[8,2,7,3,5,1,4,6] => 1010100 => 0010101 => 1101010
[8,2,7,4,3,1,5,6] => 1011100 => 0011101 => 1100010
[8,2,7,3,1,5,6,4] => 1011001 => 1001101 => 0110010
[8,2,1,5,7,6,4,3] => 1100111 => 1110011 => 0001100
[6,2,1,8,7,5,4,3] => 1101111 => 1111011 => 0000100
[6,1,8,2,7,5,4,3] => 1010111 => 1110101 => 0001010
[8,1,7,3,5,2,6,4] => 1010101 => 1010101 => 0101010
[8,1,5,2,7,6,4,3] => 1010111 => 1110101 => 0001010
[8,1,7,2,4,6,5,3] => 1010011 => 1100101 => 0011010
[8,2,4,1,7,6,5,3] => 1010111 => 1110101 => 0001010
[4,2,8,3,7,6,5,1] => 1010111 => 1110101 => 0001010
[4,8,2,1,7,6,5,3] => 0110111 => 1110110 => 0001001
[5,1,8,7,2,6,4,3] => 1011011 => 1101101 => 0010010
[5,8,1,3,7,6,2,4] => 0100110 => 0110010 => 1001101
[8,2,5,4,1,7,6,3] => 1011011 => 1101101 => 0010010
[5,1,4,8,7,6,3,2] => 1001111 => 1111001 => 0000110
[8,1,4,3,7,6,5,2] => 1010111 => 1110101 => 0001010
[4,8,1,3,7,6,5,2] => 0100111 => 1110010 => 0001101
[4,3,8,1,7,6,5,2] => 1010111 => 1110101 => 0001010
[5,8,6,3,2,1,7,4] => 0111101 => 1011110 => 0100001
[5,7,6,3,2,4,1,8] => 0111010 => 0101110 => 1010001
[6,5,7,2,4,3,1,8] => 1010110 => 0110101 => 1001010
[5,7,1,3,2,8,6,4] => 0101011 => 1101010 => 0010101
[5,8,1,3,2,7,4,6] => 0101010 => 0101010 => 1010101
[8,5,1,3,2,4,6,7] => 1101000 => 0001011 => 1110100
[7,5,1,3,2,4,8,6] => 1101001 => 1001011 => 0110100
[7,5,8,2,1,4,3,6] => 1011010 => 0101101 => 1010010
[6,7,1,2,5,4,8,3] => 0100101 => 1010010 => 0101101
[6,8,1,2,5,7,4,3] => 0100011 => 1100010 => 0011101
[7,1,2,3,8,6,4,5] => 1000110 => 0110001 => 1001110
[8,1,6,4,2,3,5,7] => 1011000 => 0001101 => 1110010
[1,5,4,8,2,3,7,6] => 0101001 => 1001010 => 0110101
[1,7,8,2,3,5,6,4] => 0010001 => 1000100 => 0111011
[7,5,8,2,3,1,4,6] => 1010100 => 0010101 => 1101010
[7,4,1,2,6,8,3,5] => 1100010 => 0100011 => 1011100
[6,2,8,1,5,7,3,4] => 1010010 => 0100101 => 1011010
[7,2,5,4,1,8,6,3] => 1011011 => 1101101 => 0010010
[7,3,5,4,2,1,8,6] => 1011101 => 1011101 => 0100010
[7,3,2,8,5,6,1,4] => 1101010 => 0101011 => 1010100
[1,7,4,3,6,8,5,2] => 0110011 => 1100110 => 0011001
[4,7,6,5,2,3,8,1] => 0111001 => 1001110 => 0110001
[5,4,6,8,7,2,1,3] => 1001110 => 0111001 => 1000110
[6,7,4,2,1,8,5,3] => 0111011 => 1101110 => 0010001
[1,7,6,3,2,8,4,5] => 0111010 => 0101110 => 1010001
[6,5,8,1,7,3,4,2] => 1010101 => 1010101 => 0101010
[6,5,8,2,3,7,4,1] => 1010011 => 1100101 => 0011010
[6,5,8,3,4,1,7,2] => 1010101 => 1010101 => 0101010
[4,1,2,8,5,3,6,7] => 1001100 => 0011001 => 1100110
[3,5,8,2,6,1,7,4] => 0010101 => 1010100 => 0101011
[3,7,6,1,5,2,8,4] => 0110101 => 1010110 => 0101001
[1,7,6,2,5,8,4,3] => 0110011 => 1100110 => 0011001
[1,7,6,5,8,4,2,3] => 0110110 => 0110110 => 1001001
[3,7,6,2,8,4,5,1] => 0110101 => 1010110 => 0101001
[4,3,6,8,5,1,2,7] => 1001100 => 0011001 => 1100110
[2,7,1,5,8,4,3,6] => 0100110 => 0110010 => 1001101
[2,7,6,1,8,4,3,5] => 0110110 => 0110110 => 1001001
[7,1,2,6,3,5,4,8] => 1001010 => 0101001 => 1010110
[7,2,6,3,4,5,1,8] => 1010010 => 0100101 => 1011010
[6,1,2,5,7,8,4,3] => 1000011 => 1100001 => 0011110
[4,1,2,7,8,5,3,6] => 1000110 => 0110001 => 1001110
[4,7,3,1,2,6,8,5] => 0110001 => 1000110 => 0111001
[3,7,6,1,5,8,2,4] => 0110010 => 0100110 => 1011001
[3,8,5,6,4,2,7,1] => 0101101 => 1011010 => 0100101
[3,2,6,4,7,8,5,1] => 1010011 => 1100101 => 0011010
[4,2,7,5,8,3,1,6] => 1010110 => 0110101 => 1001010
[4,2,7,1,3,8,6,5] => 1010011 => 1100101 => 0011010
[5,2,1,4,7,8,3,6] => 1100010 => 0100011 => 1011100
[5,6,2,7,3,4,8,1] => 0101001 => 1001010 => 0110101
[6,1,3,8,5,4,7,2] => 1001101 => 1011001 => 0100110
[2,7,6,8,5,1,3,4] => 0101100 => 0011010 => 1100101
[2,7,6,8,5,3,1,4] => 0101110 => 0111010 => 1000101
[1,5,8,6,4,2,3,7] => 0011100 => 0011100 => 1100011
[2,5,8,6,4,1,7,3] => 0011101 => 1011100 => 0100011
[1,6,2,3,5,8,7,4] => 0100011 => 1100010 => 0011101
[4,7,2,3,1,6,8,5] => 0101001 => 1001010 => 0110101
[6,7,3,1,5,4,8,2] => 0110101 => 1010110 => 0101001
[7,4,6,2,8,3,5,1] => 1010101 => 1010101 => 0101010
[7,3,5,1,4,8,2,6] => 1010010 => 0100101 => 1011010
[3,4,6,5,1,2,7,8] => 0011000 => 0001100 => 1110011
[7,5,4,3,8,6,2,1] => 1110111 => 1110111 => 0001000
[4,3,8,2,6,7,5,1] => 1010011 => 1100101 => 0011010
[4,3,8,2,5,7,1,6] => 1010010 => 0100101 => 1011010
[4,1,6,2,5,3,7,8] => 1010100 => 0010101 => 1101010
[5,1,8,6,4,7,2,3] => 1011010 => 0101101 => 1010010
[4,2,6,1,5,3,8,7] => 1010101 => 1010101 => 0101010
[6,7,2,3,1,5,8,4] => 0101001 => 1001010 => 0110101
[7,5,2,3,8,1,6,4] => 1100101 => 1010011 => 0101100
[7,5,2,3,8,4,1,6] => 1100110 => 0110011 => 1001100
[4,5,1,7,6,3,8,2] => 0101101 => 1011010 => 0100101
[8,1,7,5,2,3,4,6] => 1011000 => 0001101 => 1110010
[8,6,3,1,4,2,5,7] => 1110100 => 0010111 => 1101000
[4,5,1,6,2,8,7,3] => 0101011 => 1101010 => 0010101
[4,8,3,6,1,7,2,5] => 0101010 => 0101010 => 1010101
[6,2,7,8,3,4,5,1] => 1001001 => 1001001 => 0110110
[9,2,3,4,5,6,7,8,1] => 10000001 => 10000001 => 01111110
[8,2,3,4,5,6,7,1,9] => 10000010 => 01000001 => 10111110
[7,2,3,4,5,6,1,8,9] => 10000100 => 00100001 => 11011110
[6,2,3,4,5,1,7,8,9] => 10001000 => 00010001 => 11101110
[5,2,3,4,1,6,7,8,9] => 10010000 => 00001001 => 11110110
[4,2,3,1,5,6,7,8,9] => 10100000 => 00000101 => 11111010
[1,2,4,3,5,6,7,8,9] => 00100000 => 00000100 => 11111011
[1,2,4,6,8,9,7,5,3] => 00000111 => 11100000 => 00011111
[1,2,4,5,3,6,7,8,9] => 00010000 => 00001000 => 11110111
[1,2,4,3,5,6,7,8,9,10] => 001000000 => 000000100 => 111111011
[1,2,4,6,8,10,9,7,5,3] => 000001111 => 111100000 => 000011111
[1,2,4,6,8,5,7,3] => 0000101 => 1010000 => 0101111
[2,1,7,5,8,6,3,4] => 1010110 => 0110101 => 1001010
[4,7,3,8,6,5,2,1] => 0101111 => 1111010 => 0000101
[3,8,7,4,6,5,1,2] => 0110110 => 0110110 => 1001001
[7,3,8,4,6,5,1,2] => 1010110 => 0110101 => 1001010
[7,4,3,6,5,8,1,2] => 1101010 => 0101011 => 1010100
[4,5,8,7,2,6,1,3] => 0011010 => 0101100 => 1010011
[3,8,6,7,5,1,4,2] => 0101101 => 1011010 => 0100101
[4,2,7,6,5,8,3,1] => 1011011 => 1101101 => 0010010
[4,6,7,8,5,2,3,1] => 0001101 => 1011000 => 0100111
[4,5,3,8,2,7,6,1] => 0101011 => 1101010 => 0010101
[3,8,5,4,1,7,6,2] => 0111011 => 1101110 => 0010001
[6,4,7,2,5,8,3,1] => 1010011 => 1100101 => 0011010
[6,3,8,7,5,1,4,2] => 1011101 => 1011101 => 0100010
[5,3,6,4,1,2,8,7] => 1011001 => 1001101 => 0110010
[6,8,4,3,5,7,1,2] => 0110010 => 0100110 => 1011001
[5,2,4,8,7,6,1,3] => 1001110 => 0111001 => 1000110
[4,2,5,1,7,8,3,6] => 1010010 => 0100101 => 1011010
[2,5,4,1,3,8,6,7] => 0110010 => 0100110 => 1011001
[1,4,5,3,8,2,6,7] => 0010100 => 0010100 => 1101011
[5,1,8,2,4,3,6,7] => 1010100 => 0010101 => 1101010
[1,5,4,8,2,3,6,7] => 0101000 => 0001010 => 1110101
[3,5,1,4,7,8,2,6] => 0100010 => 0100010 => 1011101
[4,8,3,1,6,7,2,5] => 0110010 => 0100110 => 1011001
[3,4,8,2,6,5,7,1] => 0010101 => 1010100 => 0101011
[3,6,2,4,8,7,1,5] => 0100110 => 0110010 => 1001101
[4,7,3,2,6,8,1,5] => 0110010 => 0100110 => 1011001
[7,3,4,6,8,1,2,5] => 1000100 => 0010001 => 1101110
[3,6,7,2,5,8,1,4] => 0010010 => 0100100 => 1011011
[1,5,6,8,3,7,2,4] => 0001010 => 0101000 => 1010111
[6,1,5,8,3,4,7,2] => 1001001 => 1001001 => 0110110
[5,6,8,1,3,4,7,2] => 0010001 => 1000100 => 0111011
[2,8,5,6,3,4,7,1] => 0101001 => 1001010 => 0110101
[6,8,1,3,5,4,7,2] => 0100101 => 1010010 => 0101101
[8,1,6,3,5,4,7,2] => 1010101 => 1010101 => 0101010
[1,8,7,3,6,4,5,2] => 0110101 => 1010110 => 0101001
[7,1,2,5,8,4,6,3] => 1000101 => 1010001 => 0101110
[6,2,4,8,1,7,3,5] => 1001010 => 0101001 => 1010110
[3,1,7,8,5,4,6,2] => 1001101 => 1011001 => 0100110
[1,6,2,7,4,8,5,3] => 0101011 => 1101010 => 0010101
[2,7,1,8,4,3,5,6] => 0101100 => 0011010 => 1100101
[6,7,1,8,3,2,4,5] => 0101100 => 0011010 => 1100101
[2,7,6,3,5,8,1,4] => 0110010 => 0100110 => 1011001
[2,7,5,6,8,1,3,4] => 0100100 => 0010010 => 1101101
[6,7,2,8,1,3,4,5] => 0101000 => 0001010 => 1110101
[5,1,6,8,7,2,3,4] => 1001100 => 0011001 => 1100110
[1,5,7,6,8,2,3,4] => 0010100 => 0010100 => 1101011
[7,4,6,8,5,3,1,2] => 1001110 => 0111001 => 1000110
[2,1,5,7,8,3,6,4] => 1000101 => 1010001 => 0101110
[3,8,6,7,5,1,2,4] => 0101100 => 0011010 => 1100101
[4,7,5,8,6,3,1,2] => 0101110 => 0111010 => 1000101
[1,6,8,3,2,5,4,7] => 0011010 => 0101100 => 1010011
[7,8,5,1,3,2,6,4] => 0110101 => 1010110 => 0101001
[2,6,8,1,5,4,7,3] => 0010101 => 1010100 => 0101011
[1,5,4,7,6,2,8,3] => 0101101 => 1011010 => 0100101
[2,3,7,6,5,1,8,4] => 0011101 => 1011100 => 0100011
[6,1,5,8,3,2,7,4] => 1001101 => 1011001 => 0100110
[3,1,2,4,8,5,7,6] => 1000101 => 1010001 => 0101110
[2,5,8,4,6,3,1,7] => 0010110 => 0110100 => 1001011
[7,1,5,4,8,3,2,6] => 1010110 => 0110101 => 1001010
[6,4,1,7,5,3,2,8] => 1101110 => 0111011 => 1000100
[2,7,6,4,8,1,5,3] => 0110101 => 1010110 => 0101001
[7,2,5,4,8,1,6,3] => 1010101 => 1010101 => 0101010
[1,7,2,5,3,8,6,4] => 0101011 => 1101010 => 0010101
[2,4,1,3,6,8,5,7,9] => 01000100 => 00100010 => 11011101
[7,2,3,8,6,1,5,4] => 1001101 => 1011001 => 0100110
[5,3,8,4,1,2,6,7] => 1011000 => 0001101 => 1110010
[2,4,8,3,7,1,5,6] => 0010100 => 0010100 => 1101011
[5,2,8,4,1,6,3,7] => 1011010 => 0101101 => 1010010
[7,6,5,2,1,8,4,3] => 1111011 => 1101111 => 0010000
[2,7,5,1,8,3,6,4] => 0110101 => 1010110 => 0101001
[5,1,8,7,4,3,6,2] => 1011101 => 1011101 => 0100010
[3,8,7,2,4,6,1,5] => 0110010 => 0100110 => 1011001
[5,7,1,3,2,4,8,6] => 0101001 => 1001010 => 0110101
[4,2,7,6,3,5,8,1] => 1011001 => 1001101 => 0110010
[8,4,7,6,3,5,1,2] => 1011010 => 0101101 => 1010010
[8,1,7,4,2,3,5,6] => 1011000 => 0001101 => 1110010
[6,5,1,3,8,7,4,2] => 1100111 => 1110011 => 0001100
[4,7,8,3,2,5,1,6] => 0011010 => 0101100 => 1010011
[6,1,8,5,3,7,2,4] => 1011010 => 0101101 => 1010010
[5,1,6,8,3,7,4,2] => 1001011 => 1101001 => 0010110
[8,6,5,1,7,4,3,2] => 1110111 => 1110111 => 0001000
[7,6,4,1,3,5,8,2] => 1110001 => 1000111 => 0111000
[8,2,3,7,1,4,5,6] => 1001000 => 0001001 => 1110110
[2,8,3,7,1,4,5,6] => 0101000 => 0001010 => 1110101
[5,6,2,7,4,3,1,8] => 0101110 => 0111010 => 1000101
[8,6,2,7,4,1,3,5] => 1101100 => 0011011 => 1100100
[3,7,8,2,6,1,4,5] => 0010100 => 0010100 => 1101011
[3,7,8,5,2,1,4,6] => 0011100 => 0011100 => 1100011
[6,8,4,7,3,1,5,2] => 0101101 => 1011010 => 0100101
[4,8,6,5,1,2,7,3] => 0111001 => 1001110 => 0110001
[4,8,6,5,1,2,3,7] => 0111000 => 0001110 => 1110001
[3,4,5,1,7,6,8,2] => 0010101 => 1010100 => 0101011
[3,8,7,6,5,1,2,4] => 0111100 => 0011110 => 1100001
[8,4,6,7,1,2,5,3] => 1001001 => 1001001 => 0110110
[5,7,2,6,1,8,4,3] => 0101011 => 1101010 => 0010101
[5,7,2,6,1,3,8,4] => 0101001 => 1001010 => 0110101
[5,8,2,6,1,4,7,3] => 0101001 => 1001010 => 0110101
[3,8,7,5,6,1,4,2] => 0110101 => 1010110 => 0101001
[6,8,4,7,2,1,5,3] => 0101101 => 1011010 => 0100101
[1,7,3,4,5,2,8,6] => 0100101 => 1010010 => 0101101
[4,8,2,1,3,5,6,7] => 0110000 => 0000110 => 1111001
[1,7,2,5,4,3,8,6] => 0101101 => 1011010 => 0100101
[2,6,7,3,4,8,1,5] => 0010010 => 0100100 => 1011011
[2,1,5,7,4,3,8,6] => 1001101 => 1011001 => 0100110
[4,1,8,7,5,6,2,3] => 1011010 => 0101101 => 1010010
[1,5,8,7,4,3,6,2] => 0011101 => 1011100 => 0100011
[6,4,1,3,8,7,5,2] => 1100111 => 1110011 => 0001100
[2,1,7,4,6,8,3,5] => 1010010 => 0100101 => 1011010
[1,7,2,4,6,8,3,5] => 0100010 => 0100010 => 1011101
[8,6,4,2,7,3,5,1] => 1110101 => 1010111 => 0101000
[7,4,6,1,2,3,8,5] => 1010001 => 1000101 => 0111010
[1,8,6,2,7,3,5,4] => 0110101 => 1010110 => 0101001
[1,7,8,6,2,3,5,4] => 0011001 => 1001100 => 0110011
[2,1,8,3,5,7,6,4] => 1010011 => 1100101 => 0011010
[3,5,8,1,7,6,2,4] => 0010110 => 0110100 => 1001011
[2,8,1,3,6,7,5,4] => 0100011 => 1100010 => 0011101
[7,2,4,8,6,1,5,3] => 1001101 => 1011001 => 0100110
[2,4,1,5,6,7,8,9,10,3] => 010000001 => 100000010 => 011111101
[2,3,4,5,6,7,9,1,10,8] => 000000101 => 101000000 => 010111111
[2,3,5,1,6,7,8,9,10,4] => 001000001 => 100000100 => 011111011
[2,3,4,5,6,8,1,9,10,7] => 000001001 => 100100000 => 011011111
[2,3,4,6,1,7,8,9,10,5] => 000100001 => 100001000 => 011110111
[2,3,4,5,7,1,8,9,10,6] => 000010001 => 100010000 => 011101111
[4,1,2,5,6,7,8,9,10,3] => 100000001 => 100000001 => 011111110
[4,3,1,5,6,7,8,10,2,9] => 110000010 => 010000011 => 101111100
[2,4,1,5,6,7,8,9,10,11,3] => 0100000001 => 1000000010 => 0111111101
[2,6,1,5,3,7,8,9,10,4] => 010100001 => 100001010 => 011110101
[2,3,4,5,6,7,8,10,1,11,9] => 0000000101 => 1010000000 => 0101111111
[5,3,4,1,6,7,9,2,10,8] => 101000101 => 101000101 => 010111010
[2,3,5,1,6,7,8,9,10,11,4] => 0010000001 => 1000000100 => 0111111011
[2,3,8,1,6,7,4,9,10,5] => 001001001 => 100100100 => 011011011
[2,3,4,5,6,7,9,1,10,11,8] => 0000001001 => 1001000000 => 0110111111
[6,3,4,5,1,8,2,9,10,7] => 100101001 => 100101001 => 011010110
[2,3,4,6,1,7,8,9,10,11,5] => 0001000001 => 1000001000 => 0111110111
[2,3,4,10,1,7,8,9,5,6] => 000100010 => 010001000 => 101110111
[2,3,4,5,6,8,1,9,10,11,7] => 0000010001 => 1000100000 => 0111011111
[2,3,4,5,7,1,8,9,10,11,6] => 0000100001 => 1000010000 => 0111101111
[8,2,1,3,4,5,6,7,9] => 11000000 => 00000011 => 11111100
[3,2,4,5,6,7,8,1,9] => 10000010 => 01000001 => 10111110
[9,2,1,3,4,5,6,7,8,10] => 110000000 => 000000011 => 111111100
[8,3,1,2,4,5,6,7,9] => 11000000 => 00000011 => 11111100
[8,2,3,1,4,5,6,7,9] => 10100000 => 00000101 => 11111010
[4,2,3,5,6,7,8,1,9] => 10000010 => 01000001 => 10111110
[6,4,3,2,8,1,7,5] => 1110101 => 1010111 => 0101000
[6,2,4,3,8,1,7,5] => 1010101 => 1010101 => 0101010
[5,8,4,3,1,6,7,2] => 0111001 => 1001110 => 0110001
[8,7,2,4,6,10,1,3,5,9] => 110001000 => 000100011 => 111011100
[2,10,7,9,4,6,8,1,3,5] => 010100100 => 001001010 => 110110101
[6,5,2,4,8,10,1,3,7,9] => 110001000 => 000100011 => 111011100
[2,8,5,7,4,6,10,1,3,9] => 010100100 => 001001010 => 110110101
[10,5,2,4,7,9,6,8,1,3] => 110001010 => 010100011 => 101011100
[10,9,2,8,5,7,4,6,1,3] => 110101010 => 010101011 => 101010100
[8,7,6,5,2,4,10,1,3,9] => 111100100 => 001001111 => 110110000
[10,7,2,6,5,9,4,8,1,3] => 110101010 => 010101011 => 101010100
[6,10,5,9,8,7,2,4,1,3] => 010111010 => 010111010 => 101000101
[4,10,3,9,2,6,8,1,5,7] => 010100100 => 001001010 => 110110101
[4,3,10,7,9,2,6,8,1,5] => 101010010 => 010010101 => 101101010
[3,6,2,5,4,8,10,1,7,9] => 010100100 => 001001010 => 110110101
[3,6,10,2,5,9,4,8,1,7] => 001001010 => 010100100 => 101011011
[3,5,8,2,4,7,6,10,1,9] => 001001010 => 010100100 => 101011011
[3,5,7,10,2,4,6,9,8,1] => 000100011 => 110001000 => 001110111
[10,9,3,5,8,2,4,7,6,1] => 110010011 => 110010011 => 001101100
[8,7,3,6,2,5,4,10,1,9] => 110101010 => 010101011 => 101010100
[7,6,3,5,10,2,4,9,8,1] => 110010011 => 110010011 => 001101100
[3,6,10,9,8,2,5,7,4,1] => 001110011 => 110011100 => 001100011
[10,9,8,7,3,6,2,5,4,1] => 111101011 => 110101111 => 001010000
[5,4,3,8,2,7,6,10,1,9] => 110101010 => 010101011 => 101010100
[5,4,3,7,10,2,6,9,8,1] => 110010011 => 110010011 => 001101100
[5,10,4,9,3,8,2,7,6,1] => 010101011 => 110101010 => 001010101
[4,8,3,7,6,5,2,10,1,9] => 010111010 => 010111010 => 101000101
[4,7,3,6,5,10,2,9,8,1] => 010101011 => 110101010 => 001010101
[4,6,10,3,5,9,8,7,2,1] => 001001111 => 111100100 => 000011011
[10,9,4,8,3,7,6,5,2,1] => 110101111 => 111101011 => 000010100
[7,6,5,4,3,10,2,9,8,1] => 111101011 => 110101111 => 001010000
[6,5,4,10,3,9,8,7,2,1] => 110101111 => 111101011 => 000010100
[5,10,4,9,8,7,6,3,2,1] => 010111111 => 111111010 => 000000101
[12,11,2,4,6,8,10,1,3,5,7,9] => 11000010000 => 00001000011 => 11110111100
[10,9,2,4,6,8,12,1,3,5,7,11] => 11000010000 => 00001000011 => 11110111100
[2,12,9,11,4,6,8,10,1,3,5,7] => 01010001000 => 00010001010 => 11101110101
[12,11,10,9,2,4,6,8,1,3,5,7] => 11110001000 => 00010001111 => 11101110000
[8,7,2,4,6,10,12,1,3,5,9,11] => 11000010000 => 00001000011 => 11110111100
[8,12,7,11,2,4,6,10,1,3,5,9] => 01010001000 => 00010001010 => 11101110101
[2,10,7,9,4,6,8,12,1,3,5,11] => 01010001000 => 00010001010 => 11101110101
[12,11,2,10,7,9,4,6,8,1,3,5] => 11010100100 => 00100101011 => 11011010100
[10,9,8,7,2,4,6,12,1,3,5,11] => 11110001000 => 00010001111 => 11101110000
[12,9,2,8,7,11,4,6,10,1,3,5] => 11010100100 => 00100101011 => 11011010100
[6,5,2,4,8,10,12,1,3,7,9,11] => 11000010000 => 00001000011 => 11110111100
[6,12,5,11,2,4,8,10,1,3,7,9] => 01010001000 => 00010001010 => 11101110101
[6,10,5,9,2,4,8,12,1,3,7,11] => 01010001000 => 00010001010 => 11101110101
[6,5,12,9,11,2,4,8,10,1,3,7] => 10101000100 => 00100010101 => 11011101010
[12,11,6,10,5,9,2,4,8,1,3,7] => 11010100100 => 00100101011 => 11011010100
[2,8,5,7,4,6,10,12,1,3,9,11] => 01010001000 => 00010001010 => 11101110101
[10,9,2,8,5,7,4,6,12,1,3,11] => 11010100100 => 00100101011 => 11011010100
[2,12,5,11,8,10,7,9,4,6,1,3] => 01010101010 => 01010101010 => 10101010101
[12,11,10,9,2,8,5,7,4,6,1,3] => 11110101010 => 01010101111 => 10101010000
[8,7,6,5,2,4,10,12,1,3,9,11] => 11110001000 => 00010001111 => 11101110000
[8,7,6,12,5,11,2,4,10,1,3,9] => 11010100100 => 00100101011 => 11011010100
[10,7,2,6,5,9,4,8,12,1,3,11] => 11010100100 => 00100101011 => 11011010100
[2,12,7,11,6,10,5,9,4,8,1,3] => 01010101010 => 01010101010 => 10101010101
[2,12,6,9,5,8,7,11,4,10,1,3] => 01010101010 => 01010101010 => 10101010101
[12,9,8,7,2,6,5,11,4,10,1,3] => 11110101010 => 01010101111 => 10101010000
[12,11,10,9,8,7,6,5,2,4,1,3] => 11111111010 => 01011111111 => 10100000000
[4,3,2,6,8,10,12,1,5,7,9,11] => 11000010000 => 00001000011 => 11110111100
[4,12,3,11,2,6,8,10,1,5,7,9] => 01010001000 => 00010001010 => 11101110101
[4,10,3,9,2,6,8,12,1,5,7,11] => 01010001000 => 00010001010 => 11101110101
[4,3,12,9,11,2,6,8,10,1,5,7] => 10101000100 => 00100010101 => 11011101010
[12,11,4,10,3,9,2,6,8,1,5,7] => 11010100100 => 00100101011 => 11011010100
[4,8,3,7,2,6,10,12,1,5,9,11] => 01010001000 => 00010001010 => 11101110101
[4,3,10,7,9,2,6,8,12,1,5,11] => 10101000100 => 00100010101 => 11011101010
[10,9,4,8,3,7,2,6,12,1,5,11] => 11010100100 => 00100101011 => 11011010100
[12,11,10,9,4,8,3,7,2,6,1,5] => 11110101010 => 01010101111 => 10101010000
[3,6,2,5,4,8,10,12,1,7,9,11] => 01010001000 => 00010001010 => 11101110101
[3,5,8,12,2,4,7,11,6,10,1,9] => 00010001010 => 01010001000 => 10101110111
[3,5,7,10,2,4,6,9,8,12,1,11] => 00010001010 => 01010001000 => 10101110111
[8,7,3,6,2,5,4,10,12,1,9,11] => 11010100100 => 00100101011 => 11011010100
[3,2,12,6,8,11,10,5,7,9,4,1] => 10100110011 => 11001100101 => 00110011010
[10,9,8,7,3,6,2,5,4,12,1,11] => 11110101010 => 01010101111 => 10101010000
[12,11,10,9,8,7,3,6,2,5,4,1] => 11111101011 => 11010111111 => 00101000000
[6,5,4,3,2,8,10,12,1,7,9,11] => 11110001000 => 00010001111 => 11101110000
[6,5,4,12,3,11,2,8,10,1,7,9] => 11010100100 => 00100101011 => 11011010100
[6,5,4,10,3,9,2,8,12,1,7,11] => 11010100100 => 00100101011 => 11011010100
[5,4,3,8,2,7,6,10,12,1,9,11] => 11010100100 => 00100101011 => 11011010100
[5,10,4,9,3,8,2,7,6,12,1,11] => 01010101010 => 01010101010 => 10101010101
[4,8,3,7,6,12,5,11,2,10,1,9] => 01010101010 => 01010101010 => 10101010101
[4,7,3,6,5,10,2,9,8,12,1,11] => 01010101010 => 01010101010 => 10101010101
[4,7,12,3,6,11,5,10,2,9,8,1] => 00100101011 => 11010100100 => 00101011011
[4,6,9,3,5,8,7,12,2,11,10,1] => 00100101011 => 11010100100 => 00101011011
[4,6,8,12,3,5,7,11,10,9,2,1] => 00010001111 => 11110001000 => 00001110111
[12,11,10,9,4,8,3,7,6,5,2,1] => 11110101111 => 11110101111 => 00001010000
[8,7,6,5,4,12,3,11,2,10,1,9] => 11110101010 => 01010101111 => 10101010000
[7,6,5,4,3,10,2,9,8,12,1,11] => 11110101010 => 01010101111 => 10101010000
[6,12,5,11,4,10,3,9,8,7,2,1] => 01010101111 => 11110101010 => 00001010101
[5,8,4,7,6,12,3,11,10,9,2,1] => 01010101111 => 11110101010 => 00001010101
[5,7,12,4,6,11,10,9,8,3,2,1] => 00100111111 => 11111100100 => 00000011011
[12,11,5,10,4,9,8,7,6,3,2,1] => 11010111111 => 11111101011 => 00000010100
[10,9,8,7,6,5,4,3,2,12,1,11] => 11111111010 => 01011111111 => 10100000000
[9,8,7,6,5,4,3,12,2,11,10,1] => 11111101011 => 11010111111 => 00101000000
[8,7,6,5,4,12,3,11,10,9,2,1] => 11110101111 => 11110101111 => 00001010000
[7,6,5,12,4,11,10,9,8,3,2,1] => 11010111111 => 11111101011 => 00000010100
[6,12,5,11,10,9,8,7,4,3,2,1] => 01011111111 => 11111111010 => 00000000101
[4,2,8,1,5,7,6,3] => 1010011 => 1100101 => 0011010
[6,3,7,2,5,4,8,1] => 1010101 => 1010101 => 0101010
[5,4,7,3,2,6,8,1] => 1011001 => 1001101 => 0110010
[5,7,2,6,3,4,8,1] => 0101001 => 1001010 => 0110101
[3,7,5,4,6,2,8,1] => 0110101 => 1010110 => 0101001
[6,8,3,2,1,7,4,5] => 0111010 => 0101110 => 1010001
[4,8,1,7,5,3,2,6] => 0101110 => 0111010 => 1000101
[5,4,3,7,2,8,6,1] => 1101011 => 1101011 => 0010100
[3,6,5,7,2,8,4,1] => 0101011 => 1101010 => 0010101
[4,6,5,3,8,2,1,7] => 0110110 => 0110110 => 1001001
[2,6,5,8,7,3,1,4] => 0101110 => 0111010 => 1000101
[6,3,8,4,1,7,2,5] => 1011010 => 0101101 => 1010010
[7,2,8,1,6,4,3,5] => 1010110 => 0110101 => 1001010
[3,2,8,7,6,4,1,5] => 1011110 => 0111101 => 1000010
[8,2,6,4,3,5,1,7] => 1011010 => 0101101 => 1010010
[5,4,2,8,6,3,7,1] => 1101101 => 1011011 => 0100100
[2,8,7,5,3,1,4,6] => 0111100 => 0011110 => 1100001
[2,5,6,3,1,4,8,7] => 0011001 => 1001100 => 0110011
[2,4,7,8,5,3,1,6] => 0001110 => 0111000 => 1000111
[6,5,3,2,4,1,8,7] => 1110101 => 1010111 => 0101000
[6,5,8,7,3,2,4,1] => 1011101 => 1011101 => 0100010
[2,1,4,7,8,5,3,6] => 1000110 => 0110001 => 1001110
[8,5,6,7,3,1,4,2] => 1001101 => 1011001 => 0100110
[8,7,5,3,2,6,4,1] => 1111011 => 1101111 => 0010000
[8,5,3,1,4,6,7,2] => 1110001 => 1000111 => 0111000
[8,5,1,6,4,3,7,2] => 1101101 => 1011011 => 0100100
[6,1,4,3,7,8,2,5] => 1010010 => 0100101 => 1011010
[6,1,2,7,5,8,3,4] => 1001010 => 0101001 => 1010110
[2,7,3,1,4,6,8,5] => 0110001 => 1000110 => 0111001
[2,8,3,1,6,5,7,4] => 0110101 => 1010110 => 0101001
[3,8,5,6,7,1,2,4] => 0100100 => 0010010 => 1101101
[2,5,8,1,4,6,7,3] => 0010001 => 1000100 => 0111011
[2,1,8,7,5,4,6,3] => 1011101 => 1011101 => 0100010
[7,8,3,4,1,6,5,2] => 0101011 => 1101010 => 0010101
[8,7,3,4,2,6,5,1] => 1101011 => 1101011 => 0010100
[8,4,5,2,3,7,1,6] => 1010010 => 0100101 => 1011010
[4,7,2,8,6,3,1,5] => 0101110 => 0111010 => 1000101
[4,7,5,2,3,8,1,6] => 0110010 => 0100110 => 1011001
[6,4,7,5,2,8,3,1] => 1011011 => 1101101 => 0010010
[7,5,1,3,6,4,8,2] => 1100101 => 1010011 => 0101100
[6,5,2,3,7,8,4,1] => 1100011 => 1100011 => 0011100
[7,2,6,3,1,5,8,4] => 1011001 => 1001101 => 0110010
[4,6,3,8,7,5,1,2] => 0101110 => 0111010 => 1000101
[2,8,4,1,5,7,6,3] => 0110011 => 1100110 => 0011001
[1,8,4,2,5,7,6,3] => 0110011 => 1100110 => 0011001
[2,8,5,4,1,7,6,3] => 0111011 => 1101110 => 0010001
[2,5,8,3,7,1,6,4] => 0010101 => 1010100 => 0101011
[1,8,5,2,4,7,6,3] => 0110011 => 1100110 => 0011001
[1,4,6,2,8,7,5,3] => 0010111 => 1110100 => 0001011
[7,8,2,4,1,6,5,3] => 0101011 => 1101010 => 0010101
[2,4,6,1,8,7,5,3] => 0010111 => 1110100 => 0001011
[2,8,4,5,1,7,6,3] => 0101011 => 1101010 => 0010101
[3,5,8,2,7,6,1,4] => 0010110 => 0110100 => 1001011
[2,1,6,8,7,5,3,4] => 1001110 => 0111001 => 1000110
[1,8,2,4,5,7,6,3] => 0100011 => 1100010 => 0011101
[1,2,8,3,5,7,6,4] => 0010011 => 1100100 => 0011011
[1,3,8,2,5,7,6,4] => 0010011 => 1100100 => 0011011
[2,3,8,1,5,7,6,4] => 0010011 => 1100100 => 0011011
[2,6,1,8,7,5,3,4] => 0101110 => 0111010 => 1000101
[1,6,2,8,7,5,3,4] => 0101110 => 0111010 => 1000101
[1,6,3,8,7,5,2,4] => 0101110 => 0111010 => 1000101
[2,6,3,8,7,5,1,4] => 0101110 => 0111010 => 1000101
[3,2,8,1,5,7,6,4] => 1010011 => 1100101 => 0011010
[3,1,8,2,5,7,6,4] => 1010011 => 1100101 => 0011010
[2,8,1,4,5,7,6,3] => 0100011 => 1100010 => 0011101
[7,8,2,1,4,6,5,3] => 0110011 => 1100110 => 0011001
[2,3,6,8,7,5,1,4] => 0001110 => 0111000 => 1000111
[3,1,6,8,7,2,5,4] => 1001101 => 1011001 => 0100110
[3,8,4,5,1,6,2,7] => 0101010 => 0101010 => 1010101
[6,1,4,5,7,2,3,8] => 1000100 => 0010001 => 1101110
[8,1,4,7,6,3,2,5] => 1001110 => 0111001 => 1000110
[8,3,1,6,4,7,2,5] => 1101010 => 0101011 => 1010100
[5,3,8,6,2,7,1,4] => 1011010 => 0101101 => 1010010
[8,3,6,1,5,7,2,4] => 1010010 => 0100101 => 1011010
[8,4,6,3,1,2,5,7] => 1011000 => 0001101 => 1110010
[6,8,1,4,5,2,3,7] => 0100100 => 0010010 => 1101101
[1,5,8,4,6,2,3,7] => 0010100 => 0010100 => 1101011
[2,1,6,5,3,8,4,7] => 1011010 => 0101101 => 1010010
[5,6,8,1,4,2,3,7] => 0010100 => 0010100 => 1101011
[5,7,4,8,1,2,3,6] => 0101000 => 0001010 => 1110101
[8,2,1,5,3,7,4,6] => 1101010 => 0101011 => 1010100
[4,7,8,1,2,6,3,5] => 0010010 => 0100100 => 1011011
[8,7,1,5,6,2,3,4] => 1100100 => 0010011 => 1101100
[1,6,5,8,7,2,3,4] => 0101100 => 0011010 => 1100101
[3,7,1,6,2,4,8,5] => 0101001 => 1001010 => 0110101
[5,1,2,7,6,8,3,4] => 1001010 => 0101001 => 1010110
[6,1,7,2,5,8,3,4] => 1010010 => 0100101 => 1011010
[1,7,6,5,8,2,3,4] => 0110100 => 0010110 => 1101001
[1,6,8,5,7,2,3,4] => 0010100 => 0010100 => 1101011
[7,5,1,2,6,8,3,4] => 1100010 => 0100011 => 1011100
[6,1,5,2,7,8,3,4] => 1010010 => 0100101 => 1011010
[1,6,3,8,7,2,4,5] => 0101100 => 0011010 => 1100101
[1,7,3,2,4,6,8,5] => 0110001 => 1000110 => 0111001
[8,3,1,4,2,5,7,6] => 1101001 => 1001011 => 0110100
[3,1,2,7,8,4,6,5] => 1000101 => 1010001 => 0101110
[5,1,2,6,8,7,3,4] => 1000110 => 0110001 => 1001110
[1,8,6,2,5,7,3,4] => 0110010 => 0100110 => 1011001
[5,7,8,1,2,6,3,4] => 0010010 => 0100100 => 1011011
[8,1,5,7,6,2,3,4] => 1001100 => 0011001 => 1100110
[7,1,6,8,5,2,3,4] => 1001100 => 0011001 => 1100110
[3,7,1,2,8,4,6,5] => 0100101 => 1010010 => 0101101
[8,3,1,2,7,6,4,5] => 1100110 => 0110011 => 1001100
[1,5,8,7,6,2,3,4] => 0011100 => 0011100 => 1100011
[7,8,6,1,5,2,3,4] => 0110100 => 0010110 => 1101001
[1,9,3,4,5,6,7,8,2] => 01000001 => 10000010 => 01111101
[9,2,3,4,5,6,7,8,1,10] => 100000010 => 010000001 => 101111110
[1,9,8,4,5,6,7,3,2] => 01100011 => 11000110 => 00111001
[1,10,3,4,5,6,7,8,9,2] => 010000001 => 100000010 => 011111101
[1,10,9,4,5,6,7,8,3,2] => 011000011 => 110000110 => 001111001
[7,8,6,3,1,5,2,4] => 0111010 => 0101110 => 1010001
[7,8,1,3,4,5,2,6] => 0100010 => 0100010 => 1011101
[1,7,4,8,2,5,3,6] => 0101010 => 0101010 => 1010101
[3,8,6,1,4,2,7,5] => 0110101 => 1010110 => 0101001
[7,1,8,2,4,6,3,5] => 1010010 => 0100101 => 1011010
[7,6,8,4,1,5,3,2] => 1011011 => 1101101 => 0010010
[7,3,2,8,1,5,4,6] => 1101010 => 0101011 => 1010100
[3,5,4,1,7,2,6,8] => 0110100 => 0010110 => 1101001
[6,4,7,3,2,5,1,8] => 1011010 => 0101101 => 1010010
[7,6,5,3,8,4,1,2] => 1110110 => 0110111 => 1001000
[6,4,5,7,8,1,3,2] => 1000101 => 1010001 => 0101110
[3,7,4,1,6,8,5,2] => 0110011 => 1100110 => 0011001
[3,1,2,7,6,8,5,4] => 1001011 => 1101001 => 0010110
[6,3,2,8,4,5,1,7] => 1101010 => 0101011 => 1010100
[6,1,8,3,5,4,2,7] => 1010110 => 0110101 => 1001010
[3,8,5,2,4,6,1,7] => 0110010 => 0100110 => 1011001
[1,6,4,8,3,5,2,7] => 0101010 => 0101010 => 1010101
[1,5,4,8,6,3,7,2] => 0101101 => 1011010 => 0100101
[4,8,2,5,3,7,1,6] => 0101010 => 0101010 => 1010101
[3,8,4,5,2,6,7,1] => 0101001 => 1001010 => 0110101
[4,1,8,6,5,3,7,2] => 1011101 => 1011101 => 0100010
[5,7,8,4,6,3,2,1] => 0010111 => 1110100 => 0001011
[5,3,2,8,6,4,7,1] => 1101101 => 1011011 => 0100100
[6,8,1,2,7,4,3,5] => 0100110 => 0110010 => 1001101
[5,8,7,3,6,2,4,1] => 0110101 => 1010110 => 0101001
[7,5,2,3,4,8,6,1] => 1100011 => 1100011 => 0011100
[7,3,5,4,2,8,6,1] => 1011011 => 1101101 => 0010010
[5,6,1,3,2,4,7,8] => 0101000 => 0001010 => 1110101
[2,5,1,3,7,8,6,4] => 0100011 => 1100010 => 0011101
[4,3,7,2,1,8,6,5] => 1011011 => 1101101 => 0010010
[4,6,7,2,1,3,5,8] => 0011000 => 0001100 => 1110011
[4,6,2,3,1,5,7,8] => 0101000 => 0001010 => 1110101
[3,6,4,2,5,1,7,8] => 0110100 => 0010110 => 1101001
[3,1,6,4,7,5,2,8] => 1010110 => 0110101 => 1001010
[3,6,2,7,5,4,1,8] => 0101110 => 0111010 => 1000101
[2,4,7,5,3,6,1,8] => 0011010 => 0101100 => 1010011
[2,5,7,3,4,1,6,8] => 0010100 => 0010100 => 1101011
[2,3,5,8,6,4,7,1] => 0001101 => 1011000 => 0100111
[2,4,7,3,8,6,5,1] => 0010111 => 1110100 => 0001011
[3,4,2,7,5,8,6,1] => 0101011 => 1101010 => 0010101
[3,1,5,4,7,8,6,2] => 1010011 => 1100101 => 0011010
[4,5,7,2,3,1,8,6] => 0010101 => 1010100 => 0101011
[3,7,8,1,4,6,5,2] => 0010011 => 1100100 => 0011011
[2,5,8,7,4,1,3,6] => 0011100 => 0011100 => 1100011
[2,6,4,7,5,3,8,1] => 0101101 => 1011010 => 0100101
[6,2,4,7,1,3,8,5] => 1001001 => 1001001 => 0110110
[7,3,5,1,4,2,8,6] => 1010101 => 1010101 => 0101010
[5,4,7,1,3,2,8,6] => 1010101 => 1010101 => 0101010
[6,1,4,7,5,3,8,2] => 1001101 => 1011001 => 0100110
[8,7,4,3,1,5,6,2] => 1111001 => 1001111 => 0110000
[8,7,1,4,3,5,6,2] => 1101001 => 1001011 => 0110100
[6,1,8,4,7,3,2,5] => 1010110 => 0110101 => 1001010
[4,7,3,6,1,2,8,5] => 0101001 => 1001010 => 0110101
[5,2,1,7,4,3,8,6] => 1101101 => 1011011 => 0100100
[4,7,6,2,3,1,8,5] => 0110101 => 1010110 => 0101001
[7,6,8,2,5,3,4,1] => 1010101 => 1010101 => 0101010
[2,3,6,1,8,7,5,4] => 0010111 => 1110100 => 0001011
[2,6,8,7,5,3,1,4] => 0011110 => 0111100 => 1000011
[6,4,1,7,5,2,8,3] => 1101101 => 1011011 => 0100100
[5,7,8,2,3,6,1,4] => 0010010 => 0100100 => 1011011
[4,8,7,1,2,5,6,3] => 0110001 => 1000110 => 0111001
[2,8,7,4,1,5,6,3] => 0111001 => 1001110 => 0110001
[8,6,2,1,5,7,4,3] => 1110011 => 1100111 => 0011000
[3,8,6,7,5,2,1,4] => 0101110 => 0111010 => 1000101
[6,1,3,7,5,8,2,4] => 1001010 => 0101001 => 1010110
[4,7,3,1,8,5,6,2] => 0110101 => 1010110 => 0101001
[2,6,7,5,3,4,8,1] => 0011001 => 1001100 => 0110011
[2,6,4,5,7,3,8,1] => 0100101 => 1010010 => 0101101
[6,1,4,5,8,3,7,2] => 1000101 => 1010001 => 0101110
[6,1,8,5,3,4,7,2] => 1011001 => 1001101 => 0110010
[4,1,5,6,8,3,7,2] => 1000101 => 1010001 => 0101110
[6,4,1,8,7,2,5,3] => 1101101 => 1011011 => 0100100
[8,1,2,3,4,5,6,7,10,9] => 100000001 => 100000001 => 011111110
[1,7,2,3,4,5,6,9,8] => 01000001 => 10000010 => 01111101
[1,3,8,5,2,7,4,6] => 0011010 => 0101100 => 1010011
[1,3,8,6,7,2,4,5] => 0010100 => 0010100 => 1101011
[2,8,3,7,6,1,4,5] => 0101100 => 0011010 => 1100101
[4,2,7,8,6,1,3,5] => 1001100 => 0011001 => 1100110
[1,3,8,7,6,2,4,5] => 0011100 => 0011100 => 1100011
[7,4,6,8,5,2,3,1] => 1001101 => 1011001 => 0100110
[7,5,3,6,8,2,1,4] => 1100110 => 0110011 => 1001100
[5,2,6,7,8,1,3,4] => 1000100 => 0010001 => 1101110
[4,5,6,8,1,2,7,3] => 0001001 => 1001000 => 0110111
[3,5,8,6,1,2,7,4] => 0011001 => 1001100 => 0110011
[4,2,6,8,7,1,3,5] => 1001100 => 0011001 => 1100110
[1,4,6,8,7,2,3,5] => 0001100 => 0011000 => 1100111
[4,5,3,8,1,7,2,6] => 0101010 => 0101010 => 1010101
[3,5,8,4,1,7,2,6] => 0011010 => 0101100 => 1010011
[1,6,5,7,8,2,3,4] => 0100100 => 0010010 => 1101101
[5,6,4,8,2,3,7,1] => 0101001 => 1001010 => 0110101
[6,5,4,8,1,3,7,2] => 1101001 => 1001011 => 0110100
[7,6,4,8,5,1,3,2] => 1101101 => 1011011 => 0100100
[7,2,6,5,8,1,3,4] => 1010100 => 0010101 => 1101010
[6,3,7,5,2,4,8,1] => 1011001 => 1001101 => 0110010
[8,1,2,7,4,5,3,6] => 1001010 => 0101001 => 1010110
[2,5,7,4,6,1,3,8] => 0010100 => 0010100 => 1101011
[6,1,7,4,5,3,8,2] => 1010101 => 1010101 => 0101010
[8,2,7,3,1,5,4,6] => 1011010 => 0101101 => 1010010
[2,6,4,8,3,1,7,5] => 0101101 => 1011010 => 0100101
[8,1,3,7,5,6,4,2] => 1001011 => 1101001 => 0010110
[1,2,5,3,8,6,7,4] => 0010101 => 1010100 => 0101011
[4,1,6,5,7,8,2,3] => 1010010 => 0100101 => 1011010
[6,1,3,7,4,2,8,5] => 1001101 => 1011001 => 0100110
[6,7,2,4,1,3,8,5] => 0101001 => 1001010 => 0110101
[7,3,8,4,2,6,5,1] => 1011011 => 1101101 => 0010010
[8,5,3,4,2,7,1,6] => 1101010 => 0101011 => 1010100
[1,3,8,2,5,6,7,4] => 0010001 => 1000100 => 0111011
[1,8,6,7,2,5,4,3] => 0101011 => 1101010 => 0010101
[7,6,8,3,5,4,2,1] => 1010111 => 1110101 => 0001010
[1,6,7,3,8,5,4,2] => 0010111 => 1110100 => 0001011
[8,7,2,4,6,1,5,3] => 1100101 => 1010011 => 0101100
[7,8,6,5,2,4,3,1] => 0111011 => 1101110 => 0010001
[3,6,7,5,2,8,4,1] => 0011011 => 1101100 => 0010011
[5,4,6,7,8,1,3,2] => 1000101 => 1010001 => 0101110
[5,3,6,7,8,1,4,2] => 1000101 => 1010001 => 0101110
[5,3,7,6,8,4,1,2] => 1010110 => 0110101 => 1001010
[7,5,3,2,8,6,4,1] => 1110111 => 1110111 => 0001000
[5,4,8,6,7,2,3,1] => 1010101 => 1010101 => 0101010
[5,4,8,6,3,1,2,7] => 1011100 => 0011101 => 1100010
[4,5,7,3,6,2,8,1] => 0010101 => 1010100 => 0101011
[4,5,6,3,8,2,7,1] => 0010101 => 1010100 => 0101011
[5,4,8,7,2,1,3,6] => 1011100 => 0011101 => 1100010
[2,5,4,7,8,1,3,6] => 0100100 => 0010010 => 1101101
[5,3,6,4,8,2,7,1] => 1010101 => 1010101 => 0101010
[5,3,7,4,6,2,8,1] => 1010101 => 1010101 => 0101010
[8,2,6,3,7,4,5,1] => 1010101 => 1010101 => 0101010
[8,2,4,7,3,5,6,1] => 1001001 => 1001001 => 0110110
[8,2,6,5,7,3,4,1] => 1010101 => 1010101 => 0101010
[4,5,6,2,7,3,8,1] => 0010101 => 1010100 => 0101011
[5,4,6,2,8,3,7,1] => 1010101 => 1010101 => 0101010
[8,4,6,1,7,2,5,3] => 1010101 => 1010101 => 0101010
[5,2,1,6,3,8,7,4] => 1101011 => 1101011 => 0010100
[4,5,6,3,7,1,8,2] => 0010101 => 1010100 => 0101011
[6,3,2,8,5,4,1,7] => 1101110 => 0111011 => 1000100
[4,3,1,5,2,8,6,7] => 1101010 => 0101011 => 1010100
[8,5,4,1,3,2,6,7] => 1110100 => 0010111 => 1101000
[3,8,4,1,5,2,6,7] => 0110100 => 0010110 => 1101001
[2,5,4,3,8,1,6,7] => 0110100 => 0010110 => 1101001
[2,5,7,4,3,1,6,8] => 0011100 => 0011100 => 1100011
[5,3,4,2,7,1,6,8] => 1010100 => 0010101 => 1101010
[3,7,5,4,1,2,6,8] => 0111000 => 0001110 => 1110001
[4,2,5,1,3,8,7,6] => 1010011 => 1100101 => 0011010
[4,3,5,1,2,7,6,8] => 1010010 => 0100101 => 1011010
[5,3,4,1,7,2,6,8] => 1010100 => 0010101 => 1101010
[4,1,6,3,5,2,7,8] => 1010100 => 0010101 => 1101010
[4,2,1,8,6,3,7,5] => 1101101 => 1011011 => 0100100
[3,1,7,2,5,6,4,8] => 1010010 => 0100101 => 1011010
[3,7,5,4,2,1,6,8] => 0111100 => 0011110 => 1100001
[3,7,2,4,1,6,5,8] => 0101010 => 0101010 => 1010101
[7,3,2,1,6,4,5,8] => 1110100 => 0010111 => 1101000
[2,8,6,1,7,4,3,5] => 0110110 => 0110110 => 1001001
[2,5,4,6,1,3,7,8] => 0101000 => 0001010 => 1110101
[2,5,6,4,1,3,7,8] => 0011000 => 0001100 => 1110011
[8,5,2,6,1,3,7,4] => 1101001 => 1001011 => 0110100
[7,1,5,6,3,2,4,8] => 1001100 => 0011001 => 1100110
[7,1,2,5,4,6,3,8] => 1001010 => 0101001 => 1010110
[2,4,1,6,5,3,7,8] => 0101100 => 0011010 => 1100101
[4,1,2,7,5,6,3,8] => 1001010 => 0101001 => 1010110
[7,1,2,6,5,4,3,8] => 1001110 => 0111001 => 1000110
[8,2,1,5,6,3,7,4] => 1100101 => 1010011 => 0101100
[6,1,4,5,3,2,7,8] => 1001100 => 0011001 => 1100110
[3,1,6,5,4,2,7,8] => 1011100 => 0011101 => 1100010
[3,1,4,6,5,2,7,8] => 1001100 => 0011001 => 1100110
[6,4,1,5,3,2,8,7] => 1101101 => 1011011 => 0100100
[2,1,8,6,3,7,5,4] => 1011011 => 1101101 => 0010010
[5,8,3,1,7,6,4,2] => 0110111 => 1110110 => 0001001
[7,6,3,2,8,5,1,4] => 1110110 => 0110111 => 1001000
[5,6,3,8,7,4,1,2] => 0101110 => 0111010 => 1000101
[5,2,6,8,7,4,1,3] => 1001110 => 0111001 => 1000110
[6,3,8,5,4,1,2,7] => 1011100 => 0011101 => 1100010
[6,3,8,4,5,1,2,7] => 1010100 => 0010101 => 1101010
[5,2,3,1,4,8,6,7] => 1010010 => 0100101 => 1011010
[5,4,1,3,2,8,6,7] => 1101010 => 0101011 => 1010100
[5,1,3,4,2,8,6,7] => 1001010 => 0101001 => 1010110
[5,2,1,4,3,8,6,7] => 1101010 => 0101011 => 1010100
[4,2,7,3,8,5,1,6] => 1010110 => 0110101 => 1001010
[4,7,3,2,8,5,1,6] => 0110110 => 0110110 => 1001001
[4,3,7,2,8,5,6,1] => 1010101 => 1010101 => 0101010
[5,3,1,2,4,8,6,7] => 1100010 => 0100011 => 1011100
[5,4,3,1,2,8,6,7] => 1110010 => 0100111 => 1011000
[5,3,4,1,2,8,6,7] => 1010010 => 0100101 => 1011010
[5,2,3,4,1,8,6,7] => 1001010 => 0101001 => 1010110
[5,1,7,3,4,6,8,2] => 1010001 => 1000101 => 0111010
[5,8,7,4,3,1,6,2] => 0111101 => 1011110 => 0100001
[6,8,1,3,4,5,7,2] => 0100001 => 1000010 => 0111101
[3,5,2,8,1,6,7,4] => 0101001 => 1001010 => 0110101
[3,1,7,8,2,5,4,6] => 1001010 => 0101001 => 1010110
[6,2,3,7,4,1,8,5] => 1001101 => 1011001 => 0100110
[6,3,7,4,1,2,5,8] => 1011000 => 0001101 => 1110010
[3,7,2,8,6,5,1,4] => 0101110 => 0111010 => 1000101
[3,6,7,5,1,2,4,8] => 0011000 => 0001100 => 1110011
[7,4,5,1,8,2,3,6] => 1010100 => 0010101 => 1101010
[7,2,3,1,8,4,5,6] => 1010100 => 0010101 => 1101010
[2,1,4,8,3,7,5,6] => 1001010 => 0101001 => 1010110
[4,8,1,6,7,3,2,5] => 0100110 => 0110010 => 1001101
[1,2,7,8,4,3,6,5] => 0001101 => 1011000 => 0100111
[5,8,1,4,3,2,7,6] => 0101101 => 1011010 => 0100101
[4,8,1,3,5,6,2,7] => 0100010 => 0100010 => 1011101
[5,3,7,8,4,2,6,1] => 1001101 => 1011001 => 0100110
[6,3,7,8,2,4,5,1] => 1001001 => 1001001 => 0110110
[8,5,2,4,3,1,7,6] => 1101101 => 1011011 => 0100100
[7,5,4,2,3,1,8,6] => 1110101 => 1010111 => 0101000
[3,5,6,4,8,1,7,2] => 0010101 => 1010100 => 0101011
[3,5,4,6,7,1,8,2] => 0100101 => 1010010 => 0101101
[1,4,2,6,5,8,7,3] => 0101011 => 1101010 => 0010101
[1,3,2,6,4,8,7,5] => 0101011 => 1101010 => 0010101
[1,4,2,5,3,8,7,6] => 0101011 => 1101010 => 0010101
[1,5,2,6,4,8,7,3] => 0101011 => 1101010 => 0010101
[1,6,2,5,3,8,7,4] => 0101011 => 1101010 => 0010101
[2,5,1,4,3,8,7,6] => 0101011 => 1101010 => 0010101
[1,7,3,5,4,8,6,2] => 0101011 => 1101010 => 0010101
[1,8,2,6,3,7,5,4] => 0101011 => 1101010 => 0010101
[1,8,3,6,4,7,5,2] => 0101011 => 1101010 => 0010101
[1,7,2,6,4,8,5,3] => 0101011 => 1101010 => 0010101
[1,7,2,6,3,8,5,4] => 0101011 => 1101010 => 0010101
[1,5,2,7,4,8,6,3] => 0101011 => 1101010 => 0010101
[1,4,2,8,5,7,6,3] => 0101011 => 1101010 => 0010101
[4,8,1,3,2,6,5,7] => 0101010 => 0101010 => 1010101
[1,5,3,8,4,7,6,2] => 0101011 => 1101010 => 0010101
[1,8,4,7,3,6,5,2] => 0101011 => 1101010 => 0010101
[2,6,3,8,1,5,4,7] => 0101010 => 0101010 => 1010101
[8,3,1,4,2,6,5,7] => 1101010 => 0101011 => 1010100
[4,8,7,3,5,2,1,6] => 0110110 => 0110110 => 1001001
[6,8,7,3,5,2,4,1] => 0110101 => 1010110 => 0101001
[8,3,5,1,2,6,4,7] => 1010010 => 0100101 => 1011010
[8,6,3,1,5,4,2,7] => 1110110 => 0110111 => 1001000
[8,6,4,1,5,3,2,7] => 1110110 => 0110111 => 1001000
[8,6,5,4,1,3,2,7] => 1111010 => 0101111 => 1010000
[5,3,8,7,4,6,2,1] => 1011011 => 1101101 => 0010010
[2,3,8,7,4,6,1,5] => 0011010 => 0101100 => 1010011
[8,3,5,7,4,1,2,6] => 1001100 => 0011001 => 1100110
[4,8,5,3,1,2,7,6] => 0111001 => 1001110 => 0110001
[6,8,7,3,1,5,4,2] => 0111011 => 1101110 => 0010001
[6,8,5,4,1,3,7,2] => 0111001 => 1001110 => 0110001
[2,5,8,7,4,6,3,1] => 0011011 => 1101100 => 0010011
[4,8,7,6,5,1,3,2] => 0111101 => 1011110 => 0100001
[3,8,7,5,1,6,2,4] => 0111010 => 0101110 => 1010001
[2,3,8,7,5,6,1,4] => 0011010 => 0101100 => 1010011
[2,8,7,1,3,6,4,5] => 0110010 => 0100110 => 1011001
[8,5,4,7,2,1,3,6] => 1101100 => 0011011 => 1100100
[6,8,7,3,5,2,1,4] => 0110110 => 0110110 => 1001001
[3,5,8,6,4,2,7,1] => 0011101 => 1011100 => 0100011
[6,8,4,1,5,2,7,3] => 0110101 => 1010110 => 0101001
[6,8,2,1,7,5,3,4] => 0110110 => 0110110 => 1001001
[5,8,4,6,1,2,7,3] => 0101001 => 1001010 => 0110101
[2,4,8,6,5,1,7,3] => 0011101 => 1011100 => 0100011
[4,8,7,6,5,2,1,3] => 0111110 => 0111110 => 1000001
[4,8,7,5,1,6,2,3] => 0111010 => 0101110 => 1010001
[4,5,2,1,8,6,7,3] => 0110101 => 1010110 => 0101001
[4,5,8,3,1,6,7,2] => 0011001 => 1001100 => 0110011
[5,7,2,8,4,6,1,3] => 0101010 => 0101010 => 1010101
[6,7,3,2,4,8,5,1] => 0110011 => 1100110 => 0011001
[7,2,8,6,4,5,1,3] => 1011010 => 0101101 => 1010010
[8,7,2,6,5,1,3,4] => 1101100 => 0011011 => 1100100
[5,2,7,8,4,1,3,6] => 1001100 => 0011001 => 1100110
[2,7,8,6,4,1,3,5] => 0011100 => 0011100 => 1100011
[7,6,3,5,2,8,4,1] => 1101011 => 1101011 => 0010100
[6,2,7,4,8,5,3,1] => 1010111 => 1110101 => 0001010
[8,6,5,1,7,2,4,3] => 1110101 => 1010111 => 0101000
[6,8,5,1,7,3,2,4] => 0110110 => 0110110 => 1001001
[1,6,8,3,7,4,2,5] => 0010110 => 0110100 => 1001011
[5,1,6,3,4,8,2,7] => 1010010 => 0100101 => 1011010
[3,5,2,6,4,8,1,7] => 0101010 => 0101010 => 1010101
[3,5,2,4,8,1,7,6] => 0100101 => 1010010 => 0101101
[6,3,8,2,4,1,7,5] => 1010101 => 1010101 => 0101010
[4,6,3,8,7,5,2,1] => 0101111 => 1111010 => 0000101
[6,3,8,7,5,4,2,1] => 1011111 => 1111101 => 0000010
[6,8,4,2,1,7,5,3] => 0111011 => 1101110 => 0010001
[5,2,6,4,3,8,1,7] => 1011010 => 0101101 => 1010010
[6,5,3,1,4,8,2,7] => 1110010 => 0100111 => 1011000
[3,1,7,8,6,4,2,5] => 1001110 => 0111001 => 1000110
[3,8,1,7,6,2,5,4] => 0101101 => 1011010 => 0100101
[8,1,7,6,4,2,5,3] => 1011101 => 1011101 => 0100010
[7,2,6,3,8,5,4,1] => 1010111 => 1110101 => 0001010
[7,3,8,6,4,1,5,2] => 1011101 => 1011101 => 0100010
[1,7,5,8,2,4,3,6] => 0101010 => 0101010 => 1010101
[6,1,5,2,4,8,3,7] => 1010010 => 0100101 => 1011010
[1,5,6,3,8,2,4,7] => 0010100 => 0010100 => 1101011
[8,7,1,3,6,5,2,4] => 1100110 => 0110011 => 1001100
[2,6,7,4,3,8,5,1] => 0011011 => 1101100 => 0010011
[5,2,4,7,3,8,6,1] => 1001011 => 1101001 => 0010110
[1,5,8,7,2,4,6,3] => 0011001 => 1001100 => 0110011
[1,4,8,7,3,6,5,2] => 0011011 => 1101100 => 0010011
[8,3,7,2,5,1,6,4] => 1010101 => 1010101 => 0101010
[3,7,2,8,1,5,4,6] => 0101010 => 0101010 => 1010101
[3,2,6,1,5,8,4,7] => 1010010 => 0100101 => 1011010
[7,2,1,5,8,4,3,6] => 1100110 => 0110011 => 1001100
[7,2,8,1,4,3,6,5] => 1010101 => 1010101 => 0101010
[1,7,8,3,2,6,5,4] => 0011011 => 1101100 => 0010011
[1,7,4,8,3,2,6,5] => 0101101 => 1011010 => 0100101
[1,7,5,4,8,3,2,6] => 0110110 => 0110110 => 1001001
[6,1,5,4,3,8,2,7] => 1011010 => 0101101 => 1010010
[1,7,4,5,6,8,2,3] => 0100010 => 0100010 => 1011101
[1,3,4,5,6,7,9,8,2] => 00000011 => 11000000 => 00111111
[2,3,4,5,6,7,9,8,1,10] => 000000110 => 011000000 => 100111111
[7,3,4,5,6,8,1,2,9] => 10000100 => 00100001 => 11011110
[2,3,4,5,7,6,8,1,9] => 00001010 => 01010000 => 10101111
[1,8,4,5,6,7,9,2,3] => 01000010 => 01000010 => 10111101
[1,3,4,5,6,8,7,9,2] => 00000101 => 10100000 => 01011111
[1,3,4,5,6,7,8,10,9,2] => 000000011 => 110000000 => 001111111
[1,6,4,2,3,5,7,8] => 0110000 => 0000110 => 1111001
[1,8,7,2,3,4,5,6] => 0110000 => 0000110 => 1111001
[1,5,8,6,2,3,4,7] => 0011000 => 0001100 => 1110011
[1,6,5,7,2,3,4,8] => 0101000 => 0001010 => 1110101
[1,7,5,6,2,3,4,8] => 0101000 => 0001010 => 1110101
[1,3,2,7,6,4,5,8] => 0101100 => 0011010 => 1100101
[1,2,3,7,6,4,5,8] => 0001100 => 0011000 => 1100111
[1,5,4,2,3,7,6,8] => 0110010 => 0100110 => 1011001
[1,5,4,2,3,8,6,7] => 0110010 => 0100110 => 1011001
[1,3,2,8,6,4,5,7] => 0101100 => 0011010 => 1100101
[1,7,5,8,2,3,4,6] => 0101000 => 0001010 => 1110101
[1,8,7,5,2,3,4,6] => 0111000 => 0001110 => 1110001
[2,1,5,8,6,3,7,4] => 1001101 => 1011001 => 0100110
[2,5,8,4,6,1,7,3] => 0010101 => 1010100 => 0101011
[2,5,3,8,6,1,7,4] => 0101101 => 1011010 => 0100101
[2,6,3,5,8,1,7,4] => 0100101 => 1010010 => 0101101
[6,3,2,5,8,1,7,4] => 1100101 => 1010011 => 0101100
[5,3,2,8,6,1,7,4] => 1101101 => 1011011 => 0100100
[5,8,4,6,1,3,7,2] => 0101001 => 1001010 => 0110101
[5,3,8,6,1,4,7,2] => 1011001 => 1001101 => 0110010
[2,6,5,4,8,1,7,3] => 0110101 => 1010110 => 0101001
[8,3,5,7,2,6,4,1] => 1001011 => 1101001 => 0010110
[2,4,6,8,5,3,7,1] => 0001101 => 1011000 => 0100111
[2,4,8,1,7,6,5,3] => 0010111 => 1110100 => 0001011
[4,3,8,1,5,7,6,2] => 1010011 => 1100101 => 0011010
[3,8,4,1,5,7,6,2] => 0110011 => 1100110 => 0011001
[4,3,6,8,5,2,7,1] => 1001101 => 1011001 => 0100110
[8,5,4,7,2,6,3,1] => 1101011 => 1101011 => 0010100
[3,6,8,5,4,2,7,1] => 0011101 => 1011100 => 0100011
[3,6,4,8,5,2,7,1] => 0101101 => 1011010 => 0100101
[3,6,4,1,8,2,7,5] => 0110101 => 1010110 => 0101001
[3,6,4,1,5,2,8,7] => 0110101 => 1010110 => 0101001
[4,8,6,5,1,3,7,2] => 0111001 => 1001110 => 0110001
[2,8,3,5,6,7,1,4] => 0100010 => 0100010 => 1011101
[5,6,2,4,7,1,8,3] => 0100101 => 1010010 => 0101101
[2,7,5,4,6,1,8,3] => 0110101 => 1010110 => 0101001
[2,3,7,4,6,1,8,5] => 0010101 => 1010100 => 0101011
[2,6,7,4,1,3,8,5] => 0011001 => 1001100 => 0110011
[6,5,7,4,1,3,8,2] => 1011001 => 1001101 => 0110010
[2,4,6,3,5,7,8,1] => 0010001 => 1000100 => 0111011
[4,1,6,3,5,7,8,2] => 1010001 => 1000101 => 0111010
[3,6,4,2,5,7,8,1] => 0110001 => 1000110 => 0111001
[2,3,6,1,5,7,8,4] => 0010001 => 1000100 => 0111011
[4,3,6,2,5,7,8,1] => 1010001 => 1000101 => 0111010
[4,6,1,2,5,7,8,3] => 0100001 => 1000010 => 0111101
[2,6,4,1,5,7,8,3] => 0110001 => 1000110 => 0111001
[2,4,1,6,5,7,8,3] => 0101001 => 1001010 => 0110101
[7,5,4,2,6,1,8,3] => 1110101 => 1010111 => 0101000
[4,7,3,1,8,6,5,2] => 0110111 => 1110110 => 0001001
[5,6,4,2,7,1,8,3] => 0110101 => 1010110 => 0101001
[4,2,7,5,3,1,8,6] => 1011101 => 1011101 => 0100010
[5,3,6,4,8,2,1,7] => 1010110 => 0110101 => 1001010
[7,3,2,5,4,1,8,6] => 1101101 => 1011011 => 0100100
[7,3,2,5,1,8,6,4] => 1101011 => 1101011 => 0010100
[4,6,3,8,7,2,1,5] => 0101110 => 0111010 => 1000101
[4,7,6,3,8,2,1,5] => 0110110 => 0110110 => 1001001
[4,7,3,8,6,2,1,5] => 0101110 => 0111010 => 1000101
[5,7,3,2,6,1,8,4] => 0110101 => 1010110 => 0101001
[5,7,3,2,6,4,1,8] => 0110110 => 0110110 => 1001001
[2,7,5,3,1,8,6,4] => 0111011 => 1101110 => 0010001
[7,5,2,8,4,3,1,6] => 1101110 => 0111011 => 1000100
[7,3,2,4,1,8,6,5] => 1101011 => 1101011 => 0010100
[8,4,3,2,7,5,1,6] => 1110110 => 0110111 => 1001000
[4,3,7,5,8,2,1,6] => 1010110 => 0110101 => 1001010
[8,4,5,3,7,2,1,6] => 1010110 => 0110101 => 1001010
[4,3,5,2,8,6,1,7] => 1010110 => 0110101 => 1001010
[4,5,3,6,8,2,1,7] => 0100110 => 0110010 => 1001101
[1,2,3,4,5,9,7,8,6] => 00000101 => 10100000 => 01011111
[1,2,3,4,9,6,7,8,5] => 00001001 => 10010000 => 01101111
[1,2,3,9,5,6,7,8,4] => 00010001 => 10001000 => 01110111
[1,2,9,4,5,6,7,8,3] => 00100001 => 10000100 => 01111011
[1,2,3,4,5,6,10,8,9,7] => 000000101 => 101000000 => 010111111
[1,2,3,4,9,7,6,8,5] => 00001101 => 10110000 => 01001111
[1,2,3,4,5,10,7,8,9,6] => 000001001 => 100100000 => 011011111
[1,2,8,6,4,5,7,3] => 0011001 => 1001100 => 0110011
[1,2,3,9,6,5,7,8,4] => 00011001 => 10011000 => 01100111
[1,2,3,4,10,6,7,8,9,5] => 000010001 => 100010000 => 011101111
[1,8,5,3,4,6,7,2] => 0110001 => 1000110 => 0111001
[1,2,9,5,4,6,7,8,3] => 00110001 => 10001100 => 01110011
[1,2,3,10,5,6,7,8,9,4] => 000100001 => 100001000 => 011110111
[1,9,4,3,5,6,7,8,2] => 01100001 => 10000110 => 01111001
[1,2,10,4,5,6,7,8,9,3] => 001000001 => 100000100 => 011111011
[9,3,2,4,5,6,7,8,1] => 11000001 => 10000011 => 01111100
[10,2,3,4,5,6,7,8,9,1] => 100000001 => 100000001 => 011111110
[3,5,6,7,8,9,4,2,1] => 00000111 => 11100000 => 00011111
[7,8,4,1,6,3,5,2] => 0110101 => 1010110 => 0101001
[8,7,5,6,1,3,4,2] => 1101001 => 1001011 => 0110100
[1,2,3,5,7,4,6,9,8] => 00001001 => 10010000 => 01101111
[1,2,3,6,4,7,5,9,8] => 00010101 => 10101000 => 01010111
[1,2,3,4,6,8,5,7,10,9] => 000001001 => 100100000 => 011011111
[1,2,3,4,6,8,5,7,9] => 00000100 => 00100000 => 11011111
[1,2,3,4,7,5,8,6,9] => 00001010 => 01010000 => 10101111
[1,2,3,4,7,5,8,6,10,9] => 000010101 => 101010000 => 010101111
[1,2,3,4,6,8,5,7,10,9,11] => 0000010010 => 0100100000 => 1011011111
[1,2,3,5,7,4,6,9,8,10] => 000010010 => 010010000 => 101101111
[1,2,5,7,3,4,6,9,8] => 00010001 => 10001000 => 01110111
[1,2,4,5,7,3,6,9,8] => 00001001 => 10010000 => 01101111
[1,2,6,3,4,7,5,9,8] => 00100101 => 10100100 => 01011011
[1,2,5,6,3,7,4,9,8] => 00010101 => 10101000 => 01010111
[1,2,3,6,4,7,5,9,8,10] => 000101010 => 010101000 => 101010111
[3,2,6,4,1,8,5,7] => 1011010 => 0101101 => 1010010
[2,8,6,5,3,1,4,7] => 0111100 => 0011110 => 1100001
[5,4,8,6,2,3,1,7] => 1011010 => 0101101 => 1010010
[4,8,7,5,2,3,1,6] => 0111010 => 0101110 => 1010001
[5,2,4,7,6,8,3,1] => 1001011 => 1101001 => 0010110
[3,4,2,8,7,5,1,6] => 0101110 => 0111010 => 1000101
[8,5,7,6,3,2,4,1] => 1011101 => 1011101 => 0100010
[6,4,1,8,7,3,2,5] => 1101110 => 0111011 => 1000100
[1,8,5,4,2,7,3,6] => 0111010 => 0101110 => 1010001
[3,6,5,8,2,7,4,1] => 0101011 => 1101010 => 0010101
[8,3,2,7,4,6,5,1] => 1101011 => 1101011 => 0010100
[7,5,8,4,1,3,6,2] => 1011001 => 1001101 => 0110010
[7,1,6,2,3,8,4,5] => 1010010 => 0100101 => 1011010
[6,4,7,1,3,2,8,5] => 1010101 => 1010101 => 0101010
[5,1,3,8,7,2,6,4] => 1001101 => 1011001 => 0100110
[8,7,1,6,2,5,3,4] => 1101010 => 0101011 => 1010100
[3,8,5,2,4,7,6,1] => 0110011 => 1100110 => 0011001
[7,1,5,2,4,8,3,6] => 1010010 => 0100101 => 1011010
[3,8,5,1,4,7,2,6] => 0110010 => 0100110 => 1011001
[7,2,5,4,1,3,8,6] => 1011001 => 1001101 => 0110010
[7,5,8,1,6,3,2,4] => 1010110 => 0110101 => 1001010
[7,1,4,8,5,6,2,3] => 1001010 => 0101001 => 1010110
[2,3,1,9,4,5,6,7,8] => 01010000 => 00001010 => 11110101
[4,9,1,2,3,5,6,7,8] => 01000000 => 00000010 => 11111101
[3,9,1,2,4,5,6,7,8] => 01000000 => 00000010 => 11111101
[1,8,2,3,4,5,6,7,9] => 01000000 => 00000010 => 11111101
[7,4,6,1,3,2,5,8] => 1010100 => 0010101 => 1101010
[1,4,5,8,6,3,2,7] => 0001110 => 0111000 => 1000111
[8,4,5,7,2,6,1,3] => 1001010 => 0101001 => 1010110
[4,5,2,6,7,3,1,8] => 0100110 => 0110010 => 1001101
[8,1,7,5,3,6,2,4] => 1011010 => 0101101 => 1010010
[5,2,8,3,6,1,4,7] => 1010100 => 0010101 => 1101010
[5,2,6,3,1,7,8,4] => 1011001 => 1001101 => 0110010
[4,3,5,1,6,7,8,2] => 1010001 => 1000101 => 0111010
[5,7,6,1,2,3,8,4] => 0110001 => 1000110 => 0111001
[3,6,7,5,1,2,8,4] => 0011001 => 1001100 => 0110011
[1,7,6,8,5,2,4,3] => 0101101 => 1011010 => 0100101
[5,7,6,8,1,2,4,3] => 0101001 => 1001010 => 0110101
[5,6,3,7,1,4,8,2] => 0101001 => 1001010 => 0110101
[5,3,2,1,8,6,4,7] => 1110110 => 0110111 => 1001000
[9,8,7,5,6,4,3,2,1] => 11101111 => 11110111 => 00001000
[2,1,9,8,6,7,5,4,3] => 10110111 => 11101101 => 00010010
[11,10,9,8,7,6,5,4,3,2,1] => 1111111111 => 1111111111 => 0000000000
[10,9,8,7,5,6,4,3,2,1] => 111101111 => 111101111 => 000010000
[9,8,7,5,4,6,3,2,1] => 11110111 => 11101111 => 00010000
[9,8,7,4,6,5,3,2,1] => 11101111 => 11110111 => 00001000
[2,1,9,8,6,5,7,4,3] => 10111011 => 11011101 => 00100010
[2,1,9,8,5,7,6,4,3] => 10110111 => 11101101 => 00010010
[2,1,10,9,8,6,7,5,4,3] => 101110111 => 111011101 => 000100010
[2,1,11,10,9,8,7,6,5,4,3] => 1011111111 => 1111111101 => 0000000010
[1,8,7,6,5,4,3,2,9] => 01111110 => 01111110 => 10000001
[1,9,8,7,6,5,4,3,2,10] => 011111110 => 011111110 => 100000001
[2,1,8,7,6,5,4,3,9] => 10111110 => 01111101 => 10000010
[2,8,9,7,6,5,4,3,1] => 00111111 => 11111100 => 00000011
[7,8,6,1,4,5,2,3] => 0110010 => 0100110 => 1011001
[1,8,5,4,6,7,2,3] => 0110010 => 0100110 => 1011001
[6,5,8,3,7,2,1,4] => 1010110 => 0110101 => 1001010
[7,8,5,3,6,2,1,4] => 0110110 => 0110110 => 1001001
[7,8,5,3,6,2,4,1] => 0110101 => 1010110 => 0101001
[7,8,4,3,2,6,5,1] => 0111011 => 1101110 => 0010001
[1,8,4,3,2,6,7,5] => 0111001 => 1001110 => 0110001
[5,4,3,8,2,1,7,6] => 1101101 => 1011011 => 0100100
[6,4,8,3,2,1,7,5] => 1011101 => 1011101 => 0100010
[1,8,4,3,2,7,6,5] => 0111011 => 1101110 => 0010001
[6,5,8,3,1,2,7,4] => 1011001 => 1001101 => 0110010
[1,8,6,7,3,2,4,5] => 0101100 => 0011010 => 1100101
[7,8,6,1,3,2,4,5] => 0110100 => 0010110 => 1101001
[1,8,4,3,2,7,5,6] => 0111010 => 0101110 => 1010001
[5,4,3,8,2,1,6,7] => 1101100 => 0011011 => 1100100
[1,8,4,3,2,5,7,6] => 0111001 => 1001110 => 0110001
[5,4,3,8,2,6,7,1] => 1101001 => 1001011 => 0110100
[4,5,6,7,8,1,2,9,3] => 00001001 => 10010000 => 01101111
[4,5,6,7,1,2,8,9,3] => 00010001 => 10001000 => 01110111
[4,5,6,1,2,7,8,9,3] => 00100001 => 10000100 => 01111011
[4,5,1,2,6,7,8,9,3] => 01000001 => 10000010 => 01111101
[6,4,2,3,5,1,8,7] => 1100101 => 1010011 => 0101100
[5,2,3,6,1,4,8,7] => 1001001 => 1001001 => 0110110
[5,2,3,8,6,4,7,1] => 1001101 => 1011001 => 0100110
[5,2,3,7,4,8,1,6] => 1001010 => 0101001 => 1010110
[8,6,3,2,5,4,7,1] => 1110101 => 1010111 => 0101000
[7,2,3,4,5,8,1,6] => 1000010 => 0100001 => 1011110
[7,2,8,1,5,3,4,6] => 1010100 => 0010101 => 1101010
[3,8,6,4,7,2,5,1] => 0110101 => 1010110 => 0101001
[2,1,8,6,4,5,7,3] => 1011001 => 1001101 => 0110010
[4,8,2,5,7,3,1,6] => 0100110 => 0110010 => 1001101
[5,8,2,3,4,7,1,6] => 0100010 => 0100010 => 1011101
[6,3,4,7,8,2,1,5] => 1000110 => 0110001 => 1001110
[3,8,5,1,4,7,6,2] => 0110011 => 1100110 => 0011001
[4,8,5,1,3,6,7,2] => 0110001 => 1000110 => 0111001
[4,6,8,5,2,7,3,1] => 0011011 => 1101100 => 0010011
[3,7,8,5,2,6,4,1] => 0011011 => 1101100 => 0010011
[3,8,6,2,7,4,5,1] => 0110101 => 1010110 => 0101001
[8,5,4,7,1,3,6,2] => 1101001 => 1001011 => 0110100
[7,3,6,2,8,1,5,4] => 1010101 => 1010101 => 0101010
[8,1,5,2,3,7,6,4] => 1010011 => 1100101 => 0011010
[6,4,2,3,7,8,5,1] => 1100011 => 1100011 => 0011100
[8,4,2,3,6,7,1,5] => 1100010 => 0100011 => 1011100
[4,5,8,3,7,2,1,6] => 0010110 => 0110100 => 1001011
[3,7,2,8,4,5,1,6] => 0101010 => 0101010 => 1010101
[3,5,1,8,4,6,2,7] => 0101010 => 0101010 => 1010101
[4,2,1,5,6,8,3,7] => 1100010 => 0100011 => 1011100
[4,1,2,6,5,8,3,7] => 1001010 => 0101001 => 1010110
[4,1,8,3,2,6,7,5] => 1011001 => 1001101 => 0110010
[4,2,7,5,8,1,3,6] => 1010100 => 0010101 => 1101010
[4,6,2,7,8,3,1,5] => 0100110 => 0110010 => 1001101
[4,6,1,3,8,2,5,7] => 0100100 => 0010010 => 1101101
[4,3,6,2,1,8,7,5] => 1011011 => 1101101 => 0010010
[3,7,4,5,1,6,2,8] => 0101010 => 0101010 => 1010101
[3,6,4,5,8,2,1,7] => 0100110 => 0110010 => 1001101
[6,1,4,5,2,8,7,3] => 1001011 => 1101001 => 0010110
[7,2,4,5,1,6,3,8] => 1001010 => 0101001 => 1010110
[7,5,4,1,6,3,2,8] => 1110110 => 0110111 => 1001000
[1,5,4,8,6,3,2,7] => 0101110 => 0111010 => 1000101
[7,5,4,8,6,3,1,2] => 1101110 => 0111011 => 1000100
[1,8,7,5,3,6,4,2] => 0111011 => 1101110 => 0010001
[8,3,7,4,1,6,2,5] => 1011010 => 0101101 => 1010010
[8,5,4,1,6,3,2,7] => 1110110 => 0110111 => 1001000
[1,7,4,2,6,5,3,8] => 0110110 => 0110110 => 1001001
[8,2,1,5,6,7,3,4] => 1100010 => 0100011 => 1011100
[6,3,1,8,4,7,2,5] => 1101010 => 0101011 => 1010100
[7,1,4,8,6,3,2,5] => 1001110 => 0111001 => 1000110
[4,1,8,5,6,7,2,3] => 1010010 => 0100101 => 1011010
[5,7,4,8,6,2,1,3] => 0101110 => 0111010 => 1000101
[5,3,6,8,2,7,1,4] => 1001010 => 0101001 => 1010110
[6,3,7,4,8,2,1,5] => 1010110 => 0110101 => 1001010
[5,3,6,1,4,7,2,8] => 1010010 => 0100101 => 1011010
[4,3,6,8,2,7,1,5] => 1001010 => 0101001 => 1010110
[5,3,7,4,8,2,1,6] => 1010110 => 0110101 => 1001010
[5,3,8,4,1,6,2,7] => 1011010 => 0101101 => 1010010
[5,3,8,1,4,7,2,6] => 1010010 => 0100101 => 1011010
[5,8,4,1,6,3,2,7] => 0110110 => 0110110 => 1001001
[7,3,8,4,1,6,2,5] => 1011010 => 0101101 => 1010010
[1,5,8,3,6,7,4,2] => 0010011 => 1100100 => 0011011
[1,8,2,5,6,7,3,4] => 0100010 => 0100010 => 1011101
[7,8,4,1,6,5,2,3] => 0110110 => 0110110 => 1001001
[6,3,8,1,5,7,2,4] => 1010010 => 0100101 => 1011010
[8,3,1,2,5,7,4,6] => 1100010 => 0100011 => 1011100
[8,1,4,2,6,5,3,7] => 1010110 => 0110101 => 1001010
[7,8,1,2,3,4,5,9,6] => 01000001 => 10000010 => 01111101
[2,8,9,1,3,4,5,6,7] => 00100000 => 00000100 => 11111011
[2,8,9,10,1,3,4,5,6,7] => 000100000 => 000001000 => 111110111
[7,1,8,2,9,3,4,5,6] => 10101000 => 00010101 => 11101010
[6,1,7,2,8,3,9,4,5] => 10101010 => 01010101 => 10101010
[5,1,6,2,7,3,8,4,9] => 10101010 => 01010101 => 10101010
[8,1,9,2,10,3,4,5,6,7] => 101010000 => 000010101 => 111101010
[7,1,8,2,3,9,4,5,6] => 10100100 => 00100101 => 11011010
[7,1,8,2,9,3,10,4,5,6] => 101010100 => 001010101 => 110101010
[6,1,7,2,8,3,4,9,5] => 10101001 => 10010101 => 01101010
[5,1,6,2,7,3,9,4,8] => 10101010 => 01010101 => 10101010
[5,1,6,2,7,3,8,4,10,9] => 101010101 => 101010101 => 010101010
[4,1,5,2,7,3,8,6,9] => 10101010 => 01010101 => 10101010
[4,1,5,2,6,3,8,7,10,9] => 101010101 => 101010101 => 010101010
[5,1,3,7,4,8,2,6] => 1001010 => 0101001 => 1010110
[5,1,3,4,7,8,2,6] => 1000010 => 0100001 => 1011110
[2,5,8,7,4,3,6,1] => 0011101 => 1011100 => 0100011
[5,1,7,8,3,4,2,6] => 1001010 => 0101001 => 1010110
[2,5,4,8,3,7,6,1] => 0101011 => 1101010 => 0010101
[5,6,8,2,3,4,1,7] => 0010010 => 0100100 => 1011011
[2,3,5,7,4,6,8,1] => 0001001 => 1001000 => 0110111
[3,7,4,5,8,1,2,6] => 0100100 => 0010010 => 1101101
[3,7,8,1,4,5,2,6] => 0010010 => 0100100 => 1011011
[5,8,2,1,6,3,4,7] => 0110100 => 0010110 => 1101001
[4,8,1,3,7,5,2,6] => 0100110 => 0110010 => 1001101
[2,4,7,8,5,3,6,1] => 0001101 => 1011000 => 0100111
[5,3,1,4,7,2,8,6] => 1100101 => 1010011 => 0101100
[4,3,8,5,1,2,7,6] => 1011001 => 1001101 => 0110010
[2,4,7,5,8,3,6,1] => 0010101 => 1010100 => 0101011
[4,3,5,8,2,1,7,6] => 1001101 => 1011001 => 0100110
[4,8,5,7,3,1,2,6] => 0101100 => 0011010 => 1100101
[4,8,7,5,1,3,2,6] => 0111010 => 0101110 => 1010001
[4,2,8,5,1,3,6,7] => 1011000 => 0001101 => 1110010
[3,7,8,4,1,5,2,6] => 0011010 => 0101100 => 1010011
[3,4,7,5,8,2,1,6] => 0010110 => 0110100 => 1001011
[1,8,5,7,2,4,3,6] => 0101010 => 0101010 => 1010101
[1,8,5,4,2,3,6,7] => 0111000 => 0001110 => 1110001
[1,3,6,8,5,4,2,7] => 0001110 => 0111000 => 1000111
[1,6,3,8,2,7,4,5] => 0101010 => 0101010 => 1010101
[1,8,2,3,6,7,5,4] => 0100011 => 1100010 => 0011101
[1,3,6,8,2,7,5,4] => 0001011 => 1101000 => 0010111
[1,6,5,4,3,8,2,7] => 0111010 => 0101110 => 1010001
[1,8,3,4,5,6,2,7] => 0100010 => 0100010 => 1011101
[1,8,3,6,2,4,5,7] => 0101000 => 0001010 => 1110101
[1,4,5,8,3,6,2,7] => 0001010 => 0101000 => 1010111
[1,2,7,8,4,5,3,6] => 0001010 => 0101000 => 1010111
[7,2,8,5,6,3,4,1] => 1010101 => 1010101 => 0101010
[7,6,3,8,5,4,2,1] => 1101111 => 1111011 => 0000100
[6,2,8,7,5,4,1,3] => 1011110 => 0111101 => 1000010
[6,2,8,4,3,7,1,5] => 1011010 => 0101101 => 1010010
[5,2,8,4,3,1,7,6] => 1011101 => 1011101 => 0100010
[1,5,7,3,6,2,8,4] => 0010101 => 1010100 => 0101011
[1,2,5,4,8,3,7,6] => 0010101 => 1010100 => 0101011
[1,4,3,6,8,7,2,5] => 0100110 => 0110010 => 1001101
[3,2,5,7,6,8,1,4] => 1001010 => 0101001 => 1010110
[5,3,2,6,8,4,7,1] => 1100101 => 1010011 => 0101100
[3,1,8,6,4,7,2,5] => 1011010 => 0101101 => 1010010
[3,1,6,8,5,4,2,7] => 1001110 => 0111001 => 1000110
[5,3,2,8,7,6,4,1] => 1101111 => 1111011 => 0000100
[5,3,8,2,7,6,1,4] => 1010110 => 0110101 => 1001010
[6,5,4,8,3,7,2,1] => 1101011 => 1101011 => 0010100
[4,8,5,1,3,7,2,6] => 0110010 => 0100110 => 1011001
[4,3,8,7,2,6,5,1] => 1011011 => 1101101 => 0010010
[2,7,5,1,8,4,6,3] => 0110101 => 1010110 => 0101001
[7,8,5,2,1,6,4,3] => 0111011 => 1101110 => 0010001
[7,6,4,8,1,2,5,3] => 1101001 => 1001011 => 0110100
[7,5,4,8,3,2,6,1] => 1101101 => 1011011 => 0100100
[8,6,4,7,3,2,1,5] => 1101110 => 0111011 => 1000100
[3,8,5,6,2,7,1,4] => 0101010 => 0101010 => 1010101
[2,4,5,8,7,3,1,6] => 0001110 => 0111000 => 1000111
[2,4,5,8,6,7,1,3] => 0001010 => 0101000 => 1010111
[4,3,1,5,6,2,8,7] => 1100101 => 1010011 => 0101100
[4,1,5,8,6,7,2,3] => 1001010 => 0101001 => 1010110
[4,3,7,6,1,2,8,5] => 1011001 => 1001101 => 0110010
[4,7,5,6,1,2,8,3] => 0101001 => 1001010 => 0110101
[4,3,7,5,6,2,8,1] => 1010101 => 1010101 => 0101010
[4,5,1,8,6,7,3,2] => 0101011 => 1101010 => 0010101
[3,4,5,8,6,7,2,1] => 0001011 => 1101000 => 0010111
[2,1,5,8,6,7,4,3] => 1001011 => 1101001 => 0010110
[3,4,5,8,7,1,2,6] => 0001100 => 0011000 => 1100111
[4,7,1,5,6,2,8,3] => 0100101 => 1010010 => 0101101
[2,6,4,7,1,3,8,5] => 0101001 => 1001010 => 0110101
[5,3,8,6,4,7,2,1] => 1011011 => 1101101 => 0010010
[6,4,1,5,7,8,3,2] => 1100011 => 1100011 => 0011100
[3,6,4,7,2,1,8,5] => 0101101 => 1011010 => 0100101
[3,8,4,6,1,7,2,5] => 0101010 => 0101010 => 1010101
[3,8,5,6,4,7,2,1] => 0101011 => 1101010 => 0010101
[3,8,4,5,6,7,2,1] => 0100011 => 1100010 => 0011101
[3,8,6,5,2,7,4,1] => 0111011 => 1101110 => 0010001
[3,8,7,5,2,1,4,6] => 0111100 => 0011110 => 1100001
[3,8,6,5,1,7,2,4] => 0111010 => 0101110 => 1010001
[6,4,1,7,3,2,8,5] => 1101101 => 1011011 => 0100100
[5,1,4,6,7,2,8,3] => 1000101 => 1010001 => 0101110
[6,5,4,7,1,3,8,2] => 1101001 => 1001011 => 0110100
[2,1,6,5,3,7,8,4] => 1011001 => 1001101 => 0110010
[6,1,4,7,2,3,8,5] => 1001001 => 1001001 => 0110110
[2,1,3,4,5,6,8,9,7] => 10000001 => 10000001 => 01111110
[2,1,3,4,5,6,7,9,8] => 10000001 => 10000001 => 01111110
[1,2,3,4,5,6,7,8,10,11,9] => 0000000001 => 1000000000 => 0111111111
[2,1,3,4,5,6,7,9,10,8] => 100000001 => 100000001 => 011111110
[2,3,1,4,5,6,8,9,7] => 01000001 => 10000010 => 01111101
[1,3,2,4,5,6,8,9,7] => 01000001 => 10000010 => 01111101
[2,3,1,4,5,6,7,9,8] => 01000001 => 10000010 => 01111101
[1,3,2,4,5,6,7,9,8] => 01000001 => 10000010 => 01111101
[2,1,3,4,5,6,7,8,10,9] => 100000001 => 100000001 => 011111110
[1,6,2,5,4,8,3,7] => 0101010 => 0101010 => 1010101
[4,1,2,7,5,8,3,6] => 1001010 => 0101001 => 1010110
[6,1,3,5,8,2,4,7] => 1000100 => 0010001 => 1101110
[5,6,4,3,1,8,2,7] => 0111010 => 0101110 => 1010001
[6,2,3,5,8,1,4,7] => 1000100 => 0010001 => 1101110
[6,7,2,3,8,4,5,1] => 0100101 => 1010010 => 0101101
[6,7,2,1,3,8,4,5] => 0110010 => 0100110 => 1011001
[5,7,4,1,8,3,2,6] => 0110110 => 0110110 => 1001001
[4,1,7,5,8,3,6,2] => 1010101 => 1010101 => 0101010
[6,7,1,3,8,4,5,2] => 0100101 => 1010010 => 0101101
[1,6,7,4,3,8,5,2] => 0011011 => 1101100 => 0010011
[6,1,7,4,2,8,5,3] => 1011011 => 1101101 => 0010010
[2,1,6,7,4,3,8,5] => 1001101 => 1011001 => 0100110
[6,7,3,2,1,8,4,5] => 0111010 => 0101110 => 1010001
[2,5,7,3,1,4,8,6] => 0011001 => 1001100 => 0110011
[6,7,3,2,8,4,5,1] => 0110101 => 1010110 => 0101001
[1,2,6,7,4,3,8,5] => 0001101 => 1011000 => 0100111
[2,7,1,8,4,6,3,5] => 0101010 => 0101010 => 1010101
[2,7,5,8,1,6,3,4] => 0101010 => 0101010 => 1010101
[6,7,1,8,4,5,3,2] => 0101011 => 1101010 => 0010101
[8,3,7,6,1,2,5,4] => 1011001 => 1001101 => 0110010
[8,7,3,4,6,2,5,1] => 1100101 => 1010011 => 0101100
[8,2,5,7,1,4,6,3] => 1001001 => 1001001 => 0110110
[8,2,4,7,1,5,6,3] => 1001001 => 1001001 => 0110110
[8,2,3,4,7,1,5,6] => 1000100 => 0010001 => 1101110
[8,7,3,5,6,2,4,1] => 1100101 => 1010011 => 0101100
[8,7,4,6,5,2,3,1] => 1101101 => 1011011 => 0100100
[8,4,6,7,5,1,2,3] => 1001100 => 0011001 => 1100110
[8,4,6,7,5,1,3,2] => 1001101 => 1011001 => 0100110
[8,3,5,7,6,1,4,2] => 1001101 => 1011001 => 0100110
[8,7,3,6,2,1,5,4] => 1101101 => 1011011 => 0100100
[8,7,3,4,6,2,1,5] => 1100110 => 0110011 => 1001100
[8,7,4,6,5,2,1,3] => 1101110 => 0111011 => 1000100
[8,6,5,2,7,4,3,1] => 1110111 => 1110111 => 0001000
[8,4,3,7,6,5,1,2] => 1101110 => 0111011 => 1000100
[8,5,6,7,4,1,3,2] => 1001101 => 1011001 => 0100110
[8,5,7,6,4,1,2,3] => 1011100 => 0011101 => 1100010
[8,4,2,7,5,1,6,3] => 1101101 => 1011011 => 0100100
[8,3,4,2,7,5,6,1] => 1010101 => 1010101 => 0101010
[8,4,7,6,5,1,2,3] => 1011100 => 0011101 => 1100010
[8,3,5,2,7,4,6,1] => 1010101 => 1010101 => 0101010
[8,5,2,6,7,4,1,3] => 1100110 => 0110011 => 1001100
[8,5,3,7,6,4,1,2] => 1101110 => 0111011 => 1000100
[8,6,2,5,7,3,1,4] => 1100110 => 0110011 => 1001100
[8,6,2,4,7,3,1,5] => 1100110 => 0110011 => 1001100
[8,5,2,3,7,4,1,6] => 1100110 => 0110011 => 1001100
[8,5,3,2,7,6,4,1] => 1110111 => 1110111 => 0001000
[8,6,1,5,4,3,2,7] => 1101110 => 0111011 => 1000100
[2,4,5,8,3,1,6,7] => 0001100 => 0011000 => 1100111
[2,7,4,6,1,5,8,3] => 0101001 => 1001010 => 0110101
[2,4,3,8,5,1,6,7] => 0101100 => 0011010 => 1100101
[7,8,3,2,5,4,6,1] => 0110101 => 1010110 => 0101001
[1,5,6,7,3,8,2,4] => 0001010 => 0101000 => 1010111
[1,6,5,4,8,3,2,7] => 0110110 => 0110110 => 1001001
[1,7,3,5,8,4,6,2] => 0100101 => 1010010 => 0101101
[7,2,1,6,4,8,5,3] => 1101011 => 1101011 => 0010100
[7,5,8,3,2,4,6,1] => 1011001 => 1001101 => 0110010
[3,8,7,2,4,6,5,1] => 0110011 => 1100110 => 0011001
[1,3,7,6,4,8,5,2] => 0011011 => 1101100 => 0010011
[3,1,8,7,6,4,2,5] => 1011110 => 0111101 => 1000010
[3,1,8,7,5,4,2,6] => 1011110 => 0111101 => 1000010
[3,1,7,6,5,4,2,8] => 1011110 => 0111101 => 1000010
[4,7,1,6,5,3,2,8] => 0101110 => 0111010 => 1000101
[4,8,1,6,5,3,2,7] => 0101110 => 0111010 => 1000101
[8,4,1,7,6,3,2,5] => 1101110 => 0111011 => 1000100
[5,4,1,8,6,3,2,7] => 1101110 => 0111011 => 1000100
[5,4,1,7,6,3,2,8] => 1101110 => 0111011 => 1000100
[6,4,1,8,5,3,2,7] => 1101110 => 0111011 => 1000100
[8,4,1,7,5,3,2,6] => 1101110 => 0111011 => 1000100
[7,4,1,6,5,3,2,8] => 1101110 => 0111011 => 1000100
[7,5,6,1,4,3,2,8] => 1010110 => 0110101 => 1001010
[8,5,6,1,4,3,2,7] => 1010110 => 0110101 => 1001010
[8,5,7,1,4,3,2,6] => 1010110 => 0110101 => 1001010
[5,7,6,1,4,3,2,8] => 0110110 => 0110110 => 1001001
[5,8,6,1,4,3,2,7] => 0110110 => 0110110 => 1001001
[6,7,5,1,4,3,2,8] => 0110110 => 0110110 => 1001001
[8,7,5,1,4,3,2,6] => 1110110 => 0110111 => 1001000
[8,6,5,1,4,3,2,7] => 1110110 => 0110111 => 1001000
[8,6,1,7,2,5,3,4] => 1101010 => 0101011 => 1010100
[1,8,6,3,4,2,5,7] => 0110100 => 0010110 => 1101001
[3,1,6,4,5,2,7,8] => 1010100 => 0010101 => 1101010
[3,1,6,4,5,8,2,7] => 1010010 => 0100101 => 1011010
[3,1,6,4,5,7,2,8] => 1010010 => 0100101 => 1011010
[7,6,3,8,4,5,2,1] => 1101011 => 1101011 => 0010100
[8,2,7,6,1,4,3,5] => 1011010 => 0101101 => 1010010
[5,2,7,8,1,4,3,6] => 1001010 => 0101001 => 1010110
[5,6,3,8,4,1,2,7] => 0101100 => 0011010 => 1100101
[8,2,7,6,1,4,5,3] => 1011001 => 1001101 => 0110010
[5,2,3,4,7,1,6,8] => 1000100 => 0010001 => 1101110
[5,2,3,7,1,6,8,4] => 1001001 => 1001001 => 0110110
[8,7,5,3,1,6,4,2] => 1111011 => 1101111 => 0010000
[1,4,7,8,5,2,3,6] => 0001100 => 0011000 => 1100111
[5,8,3,7,6,4,1,2] => 0101110 => 0111010 => 1000101
[6,5,1,7,2,4,8,3] => 1101001 => 1001011 => 0110100
[3,6,7,1,4,2,5,8] => 0010100 => 0010100 => 1101011
[4,7,5,8,2,1,3,6] => 0101100 => 0011010 => 1100101
[8,1,2,7,5,4,3,6] => 1001110 => 0111001 => 1000110
[6,5,1,8,3,7,2,4] => 1101010 => 0101011 => 1010100
[1,8,7,5,3,2,6,4] => 0111101 => 1011110 => 0100001
[7,8,1,5,4,2,3,6] => 0101100 => 0011010 => 1100101
[2,7,5,1,4,6,3,8] => 0110010 => 0100110 => 1011001
[3,4,6,8,1,5,7,2] => 0001001 => 1001000 => 0110111
[6,8,1,7,5,4,2,3] => 0101110 => 0111010 => 1000101
[7,6,3,1,2,8,5,4] => 1110011 => 1100111 => 0011000
[5,2,6,7,4,8,1,3] => 1001010 => 0101001 => 1010110
[1,7,5,2,6,4,8,3] => 0110101 => 1010110 => 0101001
[7,1,3,6,8,2,4,5] => 1000100 => 0010001 => 1101110
[1,2,5,7,8,4,6,3] => 0000101 => 1010000 => 0101111
[3,1,2,7,5,4,8,6] => 1001101 => 1011001 => 0100110
[6,7,4,1,3,2,8,5] => 0110101 => 1010110 => 0101001
[1,7,2,8,4,3,5,6] => 0101100 => 0011010 => 1100101
[1,6,3,5,7,8,2,4] => 0100010 => 0100010 => 1011101
[8,6,1,7,5,2,4,3] => 1101101 => 1011011 => 0100100
[7,6,4,1,8,3,2,5] => 1110110 => 0110111 => 1001000
[8,4,1,6,5,2,7,3] => 1101101 => 1011011 => 0100100
[1,5,3,4,7,8,2,6] => 0100010 => 0100010 => 1011101
[4,2,1,5,7,8,3,6] => 1100010 => 0100011 => 1011100
[5,4,1,6,7,8,2,3] => 1100010 => 0100011 => 1011100
[5,1,4,6,7,8,2,3] => 1000010 => 0100001 => 1011110
[4,1,5,3,7,8,2,6] => 1010010 => 0100101 => 1011010
[8,1,4,6,5,2,7,3] => 1001101 => 1011001 => 0100110
[7,1,5,4,6,3,2,8] => 1010110 => 0110101 => 1001010
[8,2,1,6,7,5,4,3] => 1100111 => 1110011 => 0001100
[1,2,4,7,6,3,8,5] => 0001101 => 1011000 => 0100111
[6,7,4,1,8,5,2,3] => 0110110 => 0110110 => 1001001
[8,6,4,1,5,7,3,2] => 1110011 => 1100111 => 0011000
[5,2,4,3,7,1,6,8] => 1010100 => 0010101 => 1101010
[6,1,5,4,8,3,2,7] => 1010110 => 0110101 => 1001010
[1,2,8,7,4,3,6,5] => 0011101 => 1011100 => 0100011
[3,2,1,7,5,8,4,6] => 1101010 => 0101011 => 1010100
[1,3,6,4,7,8,2,5] => 0010010 => 0100100 => 1011011
[4,5,1,3,7,8,2,6] => 0100010 => 0100010 => 1011101
[5,2,3,1,7,8,4,6] => 1010010 => 0100101 => 1011010
[1,6,4,3,7,8,2,5] => 0110010 => 0100110 => 1011001
[7,6,4,3,1,5,2,8] => 1111010 => 0101111 => 1010000
[7,5,4,6,1,3,2,8] => 1101010 => 0101011 => 1010100
[8,4,6,5,1,2,7,3] => 1011001 => 1001101 => 0110010
[1,5,6,3,7,8,2,4] => 0010010 => 0100100 => 1011011
[7,1,2,3,4,5,8,9,10,6] => 100000001 => 100000001 => 011111110
[6,7,1,2,3,4,8,9,5] => 01000001 => 10000010 => 01111101
[6,1,2,3,4,7,8,9,10,5] => 100000001 => 100000001 => 011111110
[5,1,2,3,6,7,8,9,10,4] => 100000001 => 100000001 => 011111110
[6,8,3,5,7,2,4,1] => 0100101 => 1010010 => 0101101
[1,5,2,4,3,8,7,6] => 0101011 => 1101010 => 0010101
[8,6,5,7,2,1,4,3] => 1101101 => 1011011 => 0100100
[1,6,3,8,4,5,7,2] => 0101001 => 1001010 => 0110101
[7,5,4,2,6,3,8,1] => 1110101 => 1010111 => 0101000
[7,8,6,5,4,3,2,9,1] => 01111101 => 10111110 => 01000001
[9,7,6,5,4,3,1,2,8] => 11111100 => 00111111 => 11000000
[2,4,3,5,6,7,8,9,1] => 01000001 => 10000010 => 01111101
[2,3,8,4,7,5,6,1] => 0010101 => 1010100 => 0101011
[3,7,2,8,6,4,5,1] => 0101101 => 1011010 => 0100101
[6,3,7,5,8,2,4,1] => 1010101 => 1010101 => 0101010
[4,3,7,8,6,2,5,1] => 1001101 => 1011001 => 0100110
[3,8,1,7,5,2,4,6] => 0101100 => 0011010 => 1100101
[2,4,7,8,6,1,5,3] => 0001101 => 1011000 => 0100111
[2,4,8,5,1,7,3,6] => 0011010 => 0101100 => 1010011
[2,8,3,5,1,6,4,7] => 0101010 => 0101010 => 1010101
[8,2,4,6,3,7,5,1] => 1001011 => 1101001 => 0010110
[4,5,3,8,2,1,7,6] => 0101101 => 1011010 => 0100101
[4,8,3,2,5,1,6,7] => 0110100 => 0010110 => 1101001
[5,2,7,1,3,8,6,4] => 1010011 => 1100101 => 0011010
[4,5,6,7,8,9,2,1,3] => 00000110 => 01100000 => 10011111
[5,6,7,8,9,2,1,3,4] => 00001100 => 00110000 => 11001111
[6,7,8,9,2,1,3,4,5] => 00011000 => 00011000 => 11100111
[7,8,9,2,1,3,4,5,6] => 00110000 => 00001100 => 11110011
[8,9,2,1,3,4,5,6,7] => 01100000 => 00000110 => 11111001
[1,4,6,2,7,5,3,8] => 0010110 => 0110100 => 1001011
[8,2,7,5,1,4,6,3] => 1011001 => 1001101 => 0110010
[1,7,4,6,8,3,5,2] => 0100101 => 1010010 => 0101101
[8,2,1,4,5,6,7,3] => 1100001 => 1000011 => 0111100
[7,3,1,2,5,6,4,8] => 1100010 => 0100011 => 1011100
[7,2,4,1,5,8,6,3] => 1010011 => 1100101 => 0011010
[7,8,2,1,5,4,6,3] => 0110101 => 1010110 => 0101001
[1,4,2,8,6,5,3,7] => 0101110 => 0111010 => 1000101
[1,4,8,5,2,6,3,7] => 0011010 => 0101100 => 1010011
[1,5,2,4,6,3,8,7] => 0100101 => 1010010 => 0101101
[1,8,5,3,2,6,4,7] => 0111010 => 0101110 => 1010001
[6,4,1,3,2,5,8,7] => 1101001 => 1001011 => 0110100
[5,2,3,7,8,1,6,4] => 1000101 => 1010001 => 0101110
[5,2,8,6,3,1,7,4] => 1011101 => 1011101 => 0100010
[6,2,3,5,1,8,7,4] => 1001011 => 1101001 => 0010110
[7,6,3,4,2,8,1,5] => 1101010 => 0101011 => 1010100
[6,2,4,5,7,8,1,3] => 1000010 => 0100001 => 1011110
[8,6,3,2,5,7,1,4] => 1110010 => 0100111 => 1011000
[6,2,5,3,7,1,8,4] => 1010101 => 1010101 => 0101010
[8,5,3,6,7,2,1,4] => 1100110 => 0110011 => 1001100
[4,5,7,8,6,2,1,3] => 0001110 => 0111000 => 1000111
[1,2,8,4,3,6,7,5] => 0011001 => 1001100 => 0110011
[1,8,3,2,4,6,7,5] => 0110001 => 1000110 => 0111001
[1,2,7,5,3,4,6,8] => 0011000 => 0001100 => 1110011
[1,2,7,4,5,3,8,6] => 0010101 => 1010100 => 0101011
[1,7,3,2,6,8,4,5] => 0110010 => 0100110 => 1011001
[8,2,7,1,4,3,5,6] => 1010100 => 0010101 => 1101010
[7,2,1,3,6,8,4,5] => 1100010 => 0100011 => 1011100
[6,2,1,7,8,3,4,5] => 1100100 => 0010011 => 1101100
[3,5,8,6,1,4,2,7] => 0011010 => 0101100 => 1010011
[1,8,4,2,7,6,3,5] => 0110110 => 0110110 => 1001001
[8,7,2,6,5,4,3,1] => 1101111 => 1111011 => 0000100
[7,3,8,1,6,5,4,2] => 1010111 => 1110101 => 0001010
[7,3,8,2,6,5,4,1] => 1010111 => 1110101 => 0001010
[7,1,3,8,6,5,4,2] => 1001111 => 1111001 => 0000110
[8,1,3,7,6,5,4,2] => 1001111 => 1111001 => 0000110
[2,4,1,8,7,3,6,5] => 0101101 => 1011010 => 0100101
[7,3,8,6,1,5,4,2] => 1011011 => 1101101 => 0010010
[3,5,1,7,8,2,6,4] => 0100101 => 1010010 => 0101101
[5,4,7,8,2,1,6,3] => 1001101 => 1011001 => 0100110
[5,3,6,1,8,4,2,7] => 1010110 => 0110101 => 1001010
[6,3,8,7,1,5,4,2] => 1011011 => 1101101 => 0010010
[8,6,4,7,1,5,3,2] => 1101011 => 1101011 => 0010100
[3,4,6,2,1,8,5,7] => 0011010 => 0101100 => 1010011
[4,5,7,2,1,6,3,8] => 0011010 => 0101100 => 1010011
[5,6,4,8,3,2,1,7] => 0101110 => 0111010 => 1000101
[5,7,4,8,2,1,6,3] => 0101101 => 1011010 => 0100101
[4,7,5,8,2,1,6,3] => 0101101 => 1011010 => 0100101
[5,7,4,2,6,3,8,1] => 0110101 => 1010110 => 0101001
[5,7,4,1,6,2,8,3] => 0110101 => 1010110 => 0101001
[6,8,7,3,1,4,2,5] => 0111010 => 0101110 => 1010001
[8,5,6,1,7,3,2,4] => 1010110 => 0110101 => 1001010
[4,5,1,6,7,8,3,2] => 0100011 => 1100010 => 0011101
[4,5,2,6,1,3,8,7] => 0101001 => 1001010 => 0110101
[8,4,6,7,2,5,1,3] => 1001010 => 0101001 => 1010110
[3,4,6,7,2,5,8,1] => 0001001 => 1001000 => 0110111
[7,1,4,6,8,3,5,2] => 1000101 => 1010001 => 0101110
[6,7,1,2,4,8,5,3] => 0100011 => 1100010 => 0011101
[1,6,3,4,7,8,5,2] => 0100011 => 1100010 => 0011101
[2,3,6,4,7,5,8,1] => 0010101 => 1010100 => 0101011
[7,8,1,3,4,5,6,2] => 0100001 => 1000010 => 0111101
[1,8,2,6,7,3,4,5] => 0100100 => 0010010 => 1101101
[4,7,3,2,8,1,5,6] => 0110100 => 0010110 => 1101001
[7,1,2,6,3,8,5,4] => 1001011 => 1101001 => 0010110
[8,1,2,6,3,7,5,4] => 1001011 => 1101001 => 0010110
[8,1,2,7,6,3,5,4] => 1001101 => 1011001 => 0100110
[4,8,7,3,1,6,2,5] => 0111010 => 0101110 => 1010001
[4,7,8,3,1,6,2,5] => 0011010 => 0101100 => 1010011
[7,4,3,1,6,2,8,5] => 1110101 => 1010111 => 0101000
[7,4,3,1,8,6,2,5] => 1110110 => 0110111 => 1001000
[3,7,6,2,4,8,1,5] => 0110010 => 0100110 => 1011001
[4,3,7,2,8,6,1,5] => 1010110 => 0110101 => 1001010
[6,1,2,7,4,3,8,5] => 1001101 => 1011001 => 0100110
[5,1,2,6,3,8,7,4] => 1001011 => 1101001 => 0010110
[5,1,2,7,3,8,6,4] => 1001011 => 1101001 => 0010110
[6,1,2,7,3,5,8,4] => 1001001 => 1001001 => 0110110
[8,3,6,2,1,7,4,5] => 1011010 => 0101101 => 1010010
[6,1,2,8,3,5,7,4] => 1001001 => 1001001 => 0110110
[7,5,3,2,1,8,6,4] => 1111011 => 1101111 => 0010000
[4,2,1,5,3,6,7,8] => 1101000 => 0001011 => 1110100
[8,6,4,3,2,1,9,7,5] => 11111011 => 11011111 => 00100000
[7,5,4,3,2,1,8,6,9] => 11111010 => 01011111 => 10100000
[8,6,4,2,1,9,7,5,3] => 11110111 => 11101111 => 00010000
[7,5,3,2,1,8,6,4,9] => 11110110 => 01101111 => 10010000
[7,4,3,2,1,8,5,9,6] => 11110101 => 10101111 => 01010000
[6,4,3,2,1,7,5,8,9] => 11110100 => 00101111 => 11010000
[7,5,3,1,8,6,4,2,9] => 11101110 => 01110111 => 10001000
[7,4,2,1,8,5,3,9,6] => 11101101 => 10110111 => 01001000
[6,4,2,1,7,5,3,8,9] => 11101100 => 00110111 => 11001000
[6,3,2,1,7,4,8,5,9] => 11101010 => 01010111 => 10101000
[5,3,2,1,6,4,7,8,9] => 11101000 => 00010111 => 11101000
[7,4,1,8,5,2,9,6,3] => 11011011 => 11011011 => 00100100
[6,3,1,7,4,2,8,5,9] => 11011010 => 01011011 => 10100100
[5,3,1,6,4,2,7,8,9] => 11011000 => 00011011 => 11100100
[6,2,1,7,3,8,4,9,5] => 11010101 => 10101011 => 01010100
[5,2,1,6,3,7,4,8,9] => 11010100 => 00101011 => 11010100
[4,2,1,5,3,6,7,8,9] => 11010000 => 00001011 => 11110100
[4,1,5,2,6,3,7,8,9] => 10101000 => 00010101 => 11101010
[3,1,4,2,5,6,7,8,9] => 10100000 => 00000101 => 11111010
[9,7,5,4,3,2,1,10,8,6] => 111111011 => 110111111 => 001000000
[8,6,5,4,3,2,1,9,7,10] => 111111010 => 010111111 => 101000000
[9,7,5,3,2,1,10,8,6,4] => 111110111 => 111011111 => 000100000
[8,6,4,3,2,1,9,7,5,10] => 111110110 => 011011111 => 100100000
[8,5,4,3,2,1,9,6,10,7] => 111110101 => 101011111 => 010100000
[7,5,4,3,2,1,8,6,9,10] => 111110100 => 001011111 => 110100000
[8,6,4,2,1,9,7,5,3,10] => 111101110 => 011101111 => 100010000
[8,5,3,2,1,9,6,4,10,7] => 111101101 => 101101111 => 010010000
[7,5,3,2,1,8,6,4,9,10] => 111101100 => 001101111 => 110010000
[7,4,3,2,1,8,5,9,6,10] => 111101010 => 010101111 => 101010000
[6,4,3,2,1,7,5,8,9,10] => 111101000 => 000101111 => 111010000
[8,5,3,1,9,6,4,2,10,7] => 111011101 => 101110111 => 010001000
[7,5,3,1,8,6,4,2,9,10] => 111011100 => 001110111 => 110001000
[8,5,2,1,9,6,3,10,7,4] => 111011011 => 110110111 => 001001000
[7,4,2,1,8,5,3,9,6,10] => 111011010 => 010110111 => 101001000
[6,4,2,1,7,5,3,8,9,10] => 111011000 => 000110111 => 111001000
[7,3,2,1,8,4,9,5,10,6] => 111010101 => 101010111 => 010101000
[6,3,2,1,7,4,8,5,9,10] => 111010100 => 001010111 => 110101000
[5,3,2,1,6,4,7,8,9,10] => 111010000 => 000010111 => 111101000
[7,4,1,8,5,2,9,6,3,10] => 110110110 => 011011011 => 100100100
[7,3,1,8,4,2,9,5,10,6] => 110110101 => 101011011 => 010100100
[6,3,1,7,4,2,8,5,9,10] => 110110100 => 001011011 => 110100100
[5,3,1,6,4,2,7,8,9,10] => 110110000 => 000011011 => 111100100
[6,2,1,7,3,8,4,9,5,10] => 110101010 => 010101011 => 101010100
[5,2,1,6,3,7,4,8,9,10] => 110101000 => 000101011 => 111010100
[4,2,1,5,3,6,7,8,9,10] => 110100000 => 000001011 => 111110100
[5,1,6,2,7,3,8,4,9,10] => 101010100 => 001010101 => 110101010
[4,1,5,2,6,3,7,8,9,10] => 101010000 => 000010101 => 111101010
[3,1,4,2,5,6,7,8,9,10] => 101000000 => 000000101 => 111111010
[6,2,5,4,1,8,7,3] => 1011011 => 1101101 => 0010010
[4,6,3,2,1,8,7,5] => 0111011 => 1101110 => 0010001
[6,5,3,2,1,8,7,4] => 1111011 => 1101111 => 0010000
[8,4,3,2,7,6,1,5] => 1110110 => 0110111 => 1001000
[1,5,8,4,7,6,3,2] => 0010111 => 1110100 => 0001011
[3,2,7,4,8,6,1,5] => 1010110 => 0110101 => 1001010
[7,4,3,2,8,6,1,5] => 1110110 => 0110111 => 1001000
[6,8,3,7,5,2,1,4] => 0101110 => 0111010 => 1000101
[5,7,8,4,3,2,1,6] => 0011110 => 0111100 => 1000011
[6,4,3,8,5,2,1,7] => 1101110 => 0111011 => 1000100
[8,2,5,4,7,6,1,3] => 1010110 => 0110101 => 1001010
[7,2,5,4,8,6,1,3] => 1010110 => 0110101 => 1001010
[4,5,3,2,8,6,1,7] => 0110110 => 0110110 => 1001001
[3,2,5,4,8,6,1,7] => 1010110 => 0110101 => 1001010
[3,2,8,6,5,4,1,7] => 1011110 => 0111101 => 1000010
[8,4,3,6,5,2,1,7] => 1101110 => 0111011 => 1000100
[8,4,3,7,5,2,1,6] => 1101110 => 0111011 => 1000100
[3,2,7,8,5,4,1,6] => 1001110 => 0111001 => 1000110
[6,8,7,4,3,2,1,5] => 0111110 => 0111110 => 1000001
[3,6,1,4,8,7,2,5] => 0100110 => 0110010 => 1001101
[5,8,1,3,7,2,6,4] => 0100101 => 1010010 => 0101101
[4,7,5,1,8,2,6,3] => 0110101 => 1010110 => 0101001
[6,3,2,1,8,7,4,5] => 1110110 => 0110111 => 1001000
[6,2,3,1,8,7,4,5] => 1010110 => 0110101 => 1001010
[3,4,7,1,8,5,6,2] => 0010101 => 1010100 => 0101011
[7,2,5,1,8,3,6,4] => 1010101 => 1010101 => 0101010
[7,2,1,5,8,4,6,3] => 1100101 => 1010011 => 0101100
[4,2,8,1,7,5,6,3] => 1010101 => 1010101 => 0101010
[8,3,6,4,1,7,5,2] => 1011011 => 1101101 => 0010010
[7,3,1,5,2,8,6,4] => 1101011 => 1101011 => 0010100
[7,1,6,4,2,8,5,3] => 1011011 => 1101101 => 0010010
[3,7,4,1,5,8,6,2] => 0110011 => 1100110 => 0011001
[5,8,6,1,2,7,4,3] => 0110011 => 1100110 => 0011001
[6,8,1,4,3,7,5,2] => 0101011 => 1101010 => 0010101
[6,7,1,4,3,8,5,2] => 0101011 => 1101010 => 0010101
[4,7,1,5,3,8,6,2] => 0101011 => 1101010 => 0010101
[6,8,1,2,4,7,5,3] => 0100011 => 1100010 => 0011101
[7,1,6,4,8,3,5,2] => 1010101 => 1010101 => 0101010
[8,6,4,1,3,7,5,2] => 1110011 => 1100111 => 0011000
[8,5,3,6,1,7,4,2] => 1101011 => 1101011 => 0010100
[7,2,1,4,5,8,6,3] => 1100011 => 1100011 => 0011100
[8,5,6,1,2,7,4,3] => 1010011 => 1100101 => 0011010
[8,6,2,5,4,7,3,1] => 1101011 => 1101011 => 0010100
[8,5,7,3,2,4,6,1] => 1011001 => 1001101 => 0110010
[8,5,2,1,4,3,6,7] => 1110100 => 0010111 => 1101000
[2,8,4,1,3,6,7,5] => 0110001 => 1000110 => 0111001
[8,1,2,4,5,6,7,3] => 1000001 => 1000001 => 0111110
[6,1,4,3,2,7,8,5] => 1011001 => 1001101 => 0110010
[1,8,3,6,7,2,4,5] => 0100100 => 0010010 => 1101101
[1,2,8,3,7,4,6,5] => 0010101 => 1010100 => 0101011
[1,9,2,3,4,5,6,7,8,10] => 010000000 => 000000010 => 111111101
[1,7,2,3,4,5,6,8,9] => 01000000 => 00000010 => 11111101
[2,4,1,3,6,5,8,7,10,9,11] => 0100101010 => 0101010010 => 1010101101
[8,2,6,5,4,3,1,7] => 1011110 => 0111101 => 1000010
[8,2,7,6,4,5,3,1] => 1011011 => 1101101 => 0010010
[8,7,3,5,4,2,6,1] => 1101101 => 1011011 => 0100100
[12,10,9,8,7,6,5,4,3,2,1,11] => 11111111110 => 01111111111 => 10000000000
[4,6,7,2,1,8,3,5] => 0011010 => 0101100 => 1010011
[3,7,1,8,2,5,4,6] => 0101010 => 0101010 => 1010101
[4,5,8,6,1,3,7,2] => 0011001 => 1001100 => 0110011
[4,5,8,6,2,7,3,1] => 0011011 => 1101100 => 0010011
[4,6,7,1,5,3,8,2] => 0010101 => 1010100 => 0101011
[4,6,7,2,1,8,5,3] => 0011011 => 1101100 => 0010011
[4,2,5,6,7,8,3,1] => 1000011 => 1100001 => 0011110
[4,1,3,5,6,7,8,2] => 1000001 => 1000001 => 0111110
[3,7,8,4,5,1,6,2] => 0010101 => 1010100 => 0101011
[4,6,8,3,2,7,1,5] => 0011010 => 0101100 => 1010011
[4,6,8,2,3,7,1,5] => 0010010 => 0100100 => 1011011
[3,8,1,7,4,5,2,6] => 0101010 => 0101010 => 1010101
[4,5,8,3,7,1,2,6] => 0010100 => 0010100 => 1101011
[3,7,8,4,6,2,5,1] => 0010101 => 1010100 => 0101011
[3,6,1,5,7,8,2,4] => 0100010 => 0100010 => 1011101
[3,8,2,5,4,7,1,6] => 0101010 => 0101010 => 1010101
[3,8,6,2,5,1,7,4] => 0110101 => 1010110 => 0101001
[4,5,8,6,2,1,7,3] => 0011101 => 1011100 => 0100011
[4,5,8,6,1,2,7,3] => 0011001 => 1001100 => 0110011
[4,6,8,5,2,7,1,3] => 0011010 => 0101100 => 1010011
[3,7,8,5,2,6,1,4] => 0011010 => 0101100 => 1010011
[3,7,8,5,4,1,6,2] => 0011101 => 1011100 => 0100011
[4,6,8,5,3,1,7,2] => 0011101 => 1011100 => 0100011
[7,8,2,3,5,4,1,6] => 0100110 => 0110010 => 1001101
[5,1,3,7,6,4,8,2] => 1001101 => 1011001 => 0100110
[4,6,5,2,7,8,1,3] => 0110010 => 0100110 => 1011001
[1,6,5,2,3,4,8,7] => 0110001 => 1000110 => 0111001
[4,6,5,1,7,3,8,2] => 0110101 => 1010110 => 0101001
[5,7,3,1,2,4,8,6] => 0110001 => 1000110 => 0111001
[6,3,2,5,1,7,4,8] => 1101010 => 0101011 => 1010100
[6,1,2,4,8,5,3,7] => 1000110 => 0110001 => 1001110
[6,3,1,7,2,5,8,4] => 1101001 => 1001011 => 0110100
[3,7,2,8,5,1,4,6] => 0101100 => 0011010 => 1100101
[3,6,5,2,4,7,1,8] => 0110010 => 0100110 => 1011001
[3,6,5,8,1,7,2,4] => 0101010 => 0101010 => 1010101
[1,2,3,4,5,6,8,7,9] => 00000010 => 01000000 => 10111111
[1,2,3,4,5,6,7,9,8,10] => 000000010 => 010000000 => 101111111
[1,2,3,4,5,7,6,8,9] => 00000100 => 00100000 => 11011111
[9,2,3,4,5,6,7,1,8] => 10000010 => 01000001 => 10111110
[5,2,7,3,4,6,1,8] => 1010010 => 0100101 => 1011010
[1,3,5,8,6,4,7,2] => 0001101 => 1011000 => 0100111
[1,3,5,8,6,7,2,4] => 0001010 => 0101000 => 1010111
[6,1,7,4,8,5,3,2] => 1010111 => 1110101 => 0001010
[5,7,4,1,3,6,8,2] => 0110001 => 1000110 => 0111001
[7,4,3,1,6,5,8,2] => 1110101 => 1010111 => 0101000
[7,8,1,4,6,5,3,2] => 0100111 => 1110010 => 0001101
[7,8,6,1,4,5,3,2] => 0110011 => 1100110 => 0011001
[6,2,7,3,8,5,4,1] => 1010111 => 1110101 => 0001010
[1,2,7,5,3,4,8,6] => 0011001 => 1001100 => 0110011
[7,2,8,3,6,4,5,1] => 1010101 => 1010101 => 0101010
[6,2,7,8,3,1,4,5] => 1001100 => 0011001 => 1100110
[1,7,8,2,5,3,4,6] => 0010100 => 0010100 => 1101011
[3,7,8,1,2,5,6,4] => 0010001 => 1000100 => 0111011
[1,2,8,7,3,4,6,5] => 0011001 => 1001100 => 0110011
[8,2,7,4,5,1,6,3] => 1010101 => 1010101 => 0101010
[3,8,1,5,7,2,6,4] => 0100101 => 1010010 => 0101101
[7,5,4,8,6,1,2,3] => 1101100 => 0011011 => 1100100
[7,1,8,6,4,5,2,3] => 1011010 => 0101101 => 1010010
[8,7,5,1,4,3,6,2] => 1110101 => 1010111 => 0101000
[1,5,7,8,3,4,2,6] => 0001010 => 0101000 => 1010111
[6,8,4,3,1,7,2,5] => 0111010 => 0101110 => 1010001
[8,4,1,3,7,5,6,2] => 1100101 => 1010011 => 0101100
[4,8,1,3,7,5,6,2] => 0100101 => 1010010 => 0101101
[1,8,5,7,4,2,3,6] => 0101100 => 0011010 => 1100101
[2,1,6,8,5,3,4,7] => 1001100 => 0011001 => 1100110
[4,5,1,3,8,6,7,2] => 0100101 => 1010010 => 0101101
[1,2,6,8,5,3,4,7] => 0001100 => 0011000 => 1100111
[5,6,8,7,3,1,2,4] => 0011100 => 0011100 => 1100011
[6,7,5,3,8,1,2,4] => 0110100 => 0010110 => 1101001
[6,8,5,7,3,1,2,4] => 0101100 => 0011010 => 1100101
[5,7,8,6,3,1,2,4] => 0011100 => 0011100 => 1100011
[5,1,4,2,6,8,7,3] => 1010011 => 1100101 => 0011010
[6,3,2,4,7,1,8,5] => 1100101 => 1010011 => 0101100
[1,5,6,8,4,2,3,7] => 0001100 => 0011000 => 1100111
[5,7,8,3,6,1,2,4] => 0010100 => 0010100 => 1101011
[1,5,8,6,2,4,3,7] => 0011010 => 0101100 => 1010011
[1,5,3,7,2,6,8,4] => 0101001 => 1001010 => 0110101
[5,1,8,6,2,4,3,7] => 1011010 => 0101101 => 1010010
[5,8,6,3,7,1,2,4] => 0110100 => 0010110 => 1101001
[1,5,2,4,8,6,7,3] => 0100101 => 1010010 => 0101101
[1,5,4,2,6,8,7,3] => 0110011 => 1100110 => 0011001
[5,7,6,3,8,1,2,4] => 0110100 => 0010110 => 1101001
[5,7,6,8,3,1,2,4] => 0101100 => 0011010 => 1100101
[6,8,7,5,3,1,2,4] => 0111100 => 0011110 => 1100001
[1,2,5,3,6,8,7,4] => 0010011 => 1100100 => 0011011
[6,8,7,2,1,5,3,4] => 0111010 => 0101110 => 1010001
[7,3,6,1,4,8,2,5] => 1010010 => 0100101 => 1011010
[7,8,1,6,5,3,4,2] => 0101101 => 1011010 => 0100101
[8,7,3,2,1,4,6,5] => 1111001 => 1001111 => 0110000
[8,3,5,1,7,4,2,6] => 1010110 => 0110101 => 1001010
[3,5,6,8,4,2,7,1] => 0001101 => 1011000 => 0100111
[5,8,2,6,4,3,7,1] => 0101101 => 1011010 => 0100101
[2,8,6,3,4,1,7,5] => 0110101 => 1010110 => 0101001
[1,7,2,3,5,8,6,4] => 0100011 => 1100010 => 0011101
[4,6,2,3,5,1,7,8] => 0100100 => 0010010 => 1101101
[2,8,3,7,5,1,6,4] => 0101101 => 1011010 => 0100101
[6,4,8,7,2,1,5,3] => 1011101 => 1011101 => 0100010
[1,8,2,3,7,5,6,4] => 0100101 => 1010010 => 0101101
[2,8,4,3,6,7,1,5] => 0110010 => 0100110 => 1011001
[7,3,2,5,6,1,8,4] => 1100101 => 1010011 => 0101100
[1,6,7,8,2,4,3,5] => 0001010 => 0101000 => 1010111
[4,1,2,8,5,3,7,6] => 1001101 => 1011001 => 0100110
[3,8,4,2,5,1,7,6] => 0110101 => 1010110 => 0101001
[1,8,5,6,4,3,2,7] => 0101110 => 0111010 => 1000101
[2,8,3,5,6,4,1,7] => 0100110 => 0110010 => 1001101
[4,1,5,7,6,8,2,3] => 1001010 => 0101001 => 1010110
[7,6,8,3,2,5,1,4] => 1011010 => 0101101 => 1010010
[2,7,8,1,6,4,5,3] => 0010101 => 1010100 => 0101011
[2,7,1,4,5,3,8,6] => 0100101 => 1010010 => 0101101
[1,5,2,7,4,3,6,8] => 0101100 => 0011010 => 1100101
[5,1,3,8,4,6,2,7] => 1001010 => 0101001 => 1010110
[6,5,8,7,1,3,2,4] => 1011010 => 0101101 => 1010010
[2,7,3,5,1,6,8,4] => 0101001 => 1001010 => 0110101
[5,7,6,8,2,1,4,3] => 0101101 => 1011010 => 0100101
[1,3,6,5,2,7,4,8] => 0011010 => 0101100 => 1010011
[1,2,6,5,3,4,7,8] => 0011000 => 0001100 => 1110011
[1,7,2,5,6,8,3,4] => 0100010 => 0100010 => 1011101
[1,7,2,4,8,3,5,6] => 0100100 => 0010010 => 1101101
[1,6,2,4,5,3,7,8] => 0100100 => 0010010 => 1101101
[1,3,2,8,4,5,7,6] => 0101001 => 1001010 => 0110101
[1,6,8,2,4,3,5,7] => 0010100 => 0010100 => 1101011
[1,6,7,2,5,3,4,8] => 0010100 => 0010100 => 1101011
[1,2,8,3,6,7,4,5] => 0010010 => 0100100 => 1011011
[1,7,2,5,3,4,8,6] => 0101001 => 1001010 => 0110101
[10,3,4,5,6,7,8,9,1,2] => 100000010 => 010000001 => 101111110
[9,3,4,5,6,7,8,1,10,2] => 100000101 => 101000001 => 010111110
[8,3,4,5,6,7,1,9,10,2] => 100001001 => 100100001 => 011011110
[7,3,4,5,6,1,8,9,10,2] => 100010001 => 100010001 => 011101110
[6,3,4,5,1,7,8,9,10,2] => 100100001 => 100001001 => 011110110
[5,3,4,1,6,7,8,9,10,2] => 101000001 => 100000101 => 011111010
[4,3,1,5,6,7,8,9,10,2] => 110000001 => 100000011 => 011111100
[11,3,4,5,6,7,8,9,10,1,2] => 1000000010 => 0100000001 => 1011111110
[10,9,4,5,6,7,8,1,2,3] => 110000100 => 001000011 => 110111100
[10,3,4,5,6,7,8,9,1,11,2] => 1000000101 => 1010000001 => 0101111110
[10,3,8,5,6,7,1,9,2,4] => 101001010 => 010100101 => 101011010
[9,3,4,5,6,7,8,1,10,11,2] => 1000001001 => 1001000001 => 0110111110
[10,3,4,7,6,1,8,9,2,5] => 100110010 => 010011001 => 101100110
[8,3,4,5,6,7,1,9,10,11,2] => 1000010001 => 1000100001 => 0111011110
[10,3,4,5,1,7,8,9,2,6] => 100100010 => 010001001 => 101110110
[7,3,4,5,6,1,8,9,10,11,2] => 1000100001 => 1000010001 => 0111101110
[5,3,4,1,6,10,8,9,2,7] => 101001010 => 010100101 => 101011010
[6,3,4,5,1,7,8,9,10,11,2] => 1001000001 => 1000001001 => 0111110110
[4,3,1,5,6,7,10,9,2,8] => 110000110 => 011000011 => 100111100
[5,3,4,1,6,7,8,9,10,11,2] => 1010000001 => 1000000101 => 0111111010
[3,1,4,5,6,7,8,10,2,9] => 100000010 => 010000001 => 101111110
[4,3,1,5,6,7,8,9,10,11,2] => 1100000001 => 1000000011 => 0111111100
[7,1,5,6,2,3,8,4] => 1001001 => 1001001 => 0110110
[8,2,1,4,6,7,3,5] => 1100010 => 0100011 => 1011100
[7,2,6,1,3,4,8,5] => 1010001 => 1000101 => 0111010
[4,1,3,7,2,5,8,6] => 1001001 => 1001001 => 0110110
[6,2,7,5,1,3,8,4] => 1011001 => 1001101 => 0110010
[1,7,5,6,2,3,8,4] => 0101001 => 1001010 => 0110101
[3,7,6,1,2,4,8,5] => 0110001 => 1000110 => 0111001
[8,6,1,3,5,7,2,4] => 1100010 => 0100011 => 1011100
[1,7,4,3,8,2,5,6] => 0110100 => 0010110 => 1101001
[6,1,5,3,4,8,2,7] => 1010010 => 0100101 => 1011010
[3,6,7,5,2,8,1,4] => 0011010 => 0101100 => 1010011
[7,8,4,1,5,6,2,3] => 0110010 => 0100110 => 1011001
[5,8,1,3,6,7,2,4] => 0100010 => 0100010 => 1011101
[2,8,4,3,7,1,5,6] => 0110100 => 0010110 => 1101001
[3,8,4,6,7,1,2,5] => 0100100 => 0010010 => 1101101
[6,3,8,4,7,1,2,5] => 1010100 => 0010101 => 1101010
[1,2,5,4,8,3,6,7] => 0010100 => 0010100 => 1101011
[7,1,3,8,2,4,5,6] => 1001000 => 0001001 => 1110110
[8,1,3,7,2,4,5,6] => 1001000 => 0001001 => 1110110
[3,5,4,7,8,1,2,6] => 0100100 => 0010010 => 1101101
[8,3,1,4,7,2,5,6] => 1100100 => 0010011 => 1101100
[1,6,4,7,8,2,3,5] => 0100100 => 0010010 => 1101101
[5,2,3,6,7,8,1,4] => 1000010 => 0100001 => 1011110
[6,2,7,3,8,5,1,4] => 1010110 => 0110101 => 1001010
[1,3,7,8,5,6,2,4] => 0001010 => 0101000 => 1010111
[8,2,6,7,5,1,3,4] => 1001100 => 0011001 => 1100110
[8,1,7,4,6,2,3,5] => 1010100 => 0010101 => 1101010
[2,5,8,4,7,1,3,6] => 0010100 => 0010100 => 1101011
[4,5,8,7,1,2,3,6] => 0011000 => 0001100 => 1110011
[4,1,8,5,7,2,3,6] => 1010100 => 0010101 => 1101010
[1,8,7,4,6,2,3,5] => 0110100 => 0010110 => 1101001
[2,6,5,4,1,8,3,7] => 0111010 => 0101110 => 1010001
[6,2,5,1,4,8,3,7] => 1010010 => 0100101 => 1011010
[6,5,4,1,3,8,2,7] => 1110010 => 0100111 => 1011000
[6,3,5,4,2,8,1,7] => 1011010 => 0101101 => 1010010
[1,3,8,7,4,2,6,5] => 0011101 => 1011100 => 0100011
[8,7,4,3,1,5,2,6] => 1111010 => 0101111 => 1010000
[8,2,5,1,4,6,7,3] => 1010001 => 1000101 => 0111010
[3,8,4,5,1,6,7,2] => 0101001 => 1001010 => 0110101
[8,5,4,1,3,6,7,2] => 1110001 => 1000111 => 0111000
[8,3,1,7,5,6,4,2] => 1101011 => 1101011 => 0010100
[8,4,7,6,5,3,1,2] => 1011110 => 0111101 => 1000010
[8,1,4,5,7,6,3,2] => 1000111 => 1110001 => 0001110
[2,4,1,8,5,7,6,3] => 0101011 => 1101010 => 0010101
[8,2,1,4,7,6,3,5] => 1100110 => 0110011 => 1001100
[8,3,1,7,4,2,6,5] => 1101101 => 1011011 => 0100100
[8,2,7,3,1,6,5,4] => 1011011 => 1101101 => 0010010
[1,8,4,2,3,7,6,5] => 0110011 => 1100110 => 0011001
[3,1,2,8,7,4,6,5] => 1001101 => 1011001 => 0100110
[8,5,1,2,4,3,7,6] => 1100101 => 1010011 => 0101100
[2,8,3,7,4,1,6,5] => 0101101 => 1011010 => 0100101
[8,4,5,7,6,2,3,1] => 1001101 => 1011001 => 0100110
[2,3,1,8,7,6,4,5] => 0101110 => 0111010 => 1000101
[4,2,8,7,3,1,5,6] => 1011100 => 0011101 => 1100010
[1,3,4,8,7,2,5,6] => 0001100 => 0011000 => 1100111
[8,1,3,4,6,7,2,5] => 1000010 => 0100001 => 1011110
[3,4,8,2,6,7,1,5] => 0010010 => 0100100 => 1011011
[3,6,8,2,5,1,7,4] => 0010101 => 1010100 => 0101011
[3,8,2,5,7,4,6,1] => 0100101 => 1010010 => 0101101
[8,4,2,1,7,5,6,3] => 1110101 => 1010111 => 0101000
[8,2,7,5,6,4,1,3] => 1010110 => 0110101 => 1001010
[6,2,8,5,4,1,7,3] => 1011101 => 1011101 => 0100010
[6,8,5,4,1,7,2,3] => 0111010 => 0101110 => 1010001
[2,8,1,5,7,6,3,4] => 0100110 => 0110010 => 1001101
[3,1,8,2,7,5,6,4] => 1010101 => 1010101 => 0101010
[8,5,7,1,6,4,2,3] => 1010110 => 0110101 => 1001010
[2,8,4,7,3,6,5,1] => 0101011 => 1101010 => 0010101
[8,4,7,2,1,6,5,3] => 1011011 => 1101101 => 0010010
[1,8,4,7,6,5,2,3] => 0101110 => 0111010 => 1000101
[3,5,8,1,7,4,6,2] => 0010101 => 1010100 => 0101011
[8,4,7,1,3,6,5,2] => 1010011 => 1100101 => 0011010
[8,2,3,4,5,6,9,1,7] => 10000010 => 01000001 => 10111110
[8,2,3,9,5,6,7,1,4] => 10010010 => 01001001 => 10110110
[8,2,9,4,5,6,7,1,3] => 10100010 => 01000101 => 10111010
[8,9,3,4,5,6,7,1,2] => 01000010 => 01000010 => 10111101
[9,2,3,4,5,6,7,10,1,8] => 100000010 => 010000001 => 101111110
[4,2,3,1,9,8,7,6,5] => 10101111 => 11110101 => 00001010
[3,2,1,9,8,6,7,5,4] => 11011011 => 11011011 => 00100100
[9,2,10,4,5,6,7,8,1,3] => 101000010 => 010000101 => 101111010
[2,3,4,7,6,8,1,5] => 0001010 => 0101000 => 1010111
[3,8,1,2,5,6,4,7] => 0100010 => 0100010 => 1011101
[8,5,2,1,4,6,7,3] => 1110001 => 1000111 => 0111000
[4,8,1,6,5,2,7,3] => 0101101 => 1011010 => 0100101
[4,2,6,3,8,5,7,1] => 1010101 => 1010101 => 0101010
[4,5,2,6,7,1,8,3] => 0100101 => 1010010 => 0101101
[2,7,4,1,6,3,5,8] => 0110100 => 0010110 => 1101001
[8,3,5,4,2,7,1,6] => 1011010 => 0101101 => 1010010
[2,8,6,4,7,3,1,5] => 0110110 => 0110110 => 1001001
[3,1,8,6,5,2,7,4] => 1011101 => 1011101 => 0100010
[8,3,1,5,2,6,7,4] => 1101001 => 1001011 => 0110100
[3,8,2,4,1,5,7,6] => 0101001 => 1001010 => 0110101
[5,8,3,2,4,1,7,6] => 0110101 => 1010110 => 0101001
[6,5,3,2,4,8,1,7] => 1110010 => 0100111 => 1011000
[5,2,4,6,1,3,8,7] => 1001001 => 1001001 => 0110110
[7,2,3,4,6,8,1,5] => 1000010 => 0100001 => 1011110
[8,3,4,6,7,5,1,2] => 1000110 => 0110001 => 1001110
[6,8,3,4,7,5,2,1] => 0100111 => 1110010 => 0001101
[5,8,6,1,3,4,7,2] => 0110001 => 1000110 => 0111001
[4,8,1,5,7,6,3,2] => 0100111 => 1110010 => 0001101
[3,7,4,6,8,2,5,1] => 0100101 => 1010010 => 0101101
[4,7,1,6,8,3,2,5] => 0100110 => 0110010 => 1001101
[4,5,2,8,1,7,3,6] => 0101010 => 0101010 => 1010101
[3,7,5,2,8,6,1,4] => 0110110 => 0110110 => 1001001
[4,8,5,2,6,7,1,3] => 0110010 => 0100110 => 1011001
[5,4,8,6,1,2,7,3] => 1011001 => 1001101 => 0110010
[8,4,6,5,2,7,3,1] => 1011011 => 1101101 => 0010010
[8,1,6,4,7,5,2,3] => 1010110 => 0110101 => 1001010
[5,2,7,6,4,8,1,3] => 1011010 => 0101101 => 1010010
[8,6,2,3,5,1,7,4] => 1100101 => 1010011 => 0101100
[8,2,5,7,4,1,3,6] => 1001100 => 0011001 => 1100110
[7,2,4,5,6,8,1,3] => 1000010 => 0100001 => 1011110
[7,1,3,5,6,2,8,4] => 1000101 => 1010001 => 0101110
[7,1,5,8,4,6,3,2] => 1001011 => 1101001 => 0010110
[6,3,8,4,7,1,5,2] => 1010101 => 1010101 => 0101010
[7,1,4,3,2,8,5,6] => 1011010 => 0101101 => 1010010
[5,3,6,1,4,2,8,7] => 1010101 => 1010101 => 0101010
[5,7,2,1,4,3,8,6] => 0110101 => 1010110 => 0101001
[7,1,8,3,5,2,4,6] => 1010100 => 0010101 => 1101010
[7,2,4,8,1,5,6,3] => 1001001 => 1001001 => 0110110
[7,1,8,4,2,5,6,3] => 1011001 => 1001101 => 0110010
[6,4,2,5,8,1,7,3] => 1100101 => 1010011 => 0101100
[2,1,7,5,8,3,6,4] => 1010101 => 1010101 => 0101010
[7,3,8,5,6,2,1,4] => 1010110 => 0110101 => 1001010
[2,7,4,8,1,5,6,3] => 0101001 => 1001010 => 0110101
[7,4,8,3,1,5,6,2] => 1011001 => 1001101 => 0110010
[6,1,5,8,3,7,4,2] => 1001011 => 1101001 => 0010110
[2,6,3,5,8,7,4,1] => 0100111 => 1110010 => 0001101
[8,6,5,3,7,2,1,4] => 1110110 => 0110111 => 1001000
[4,8,5,3,7,2,1,6] => 0110110 => 0110110 => 1001001
[7,4,8,6,5,3,2,1] => 1011111 => 1111101 => 0000010
[7,4,8,5,6,3,1,2] => 1010110 => 0110101 => 1001010
[7,8,4,1,3,5,6,2] => 0110001 => 1000110 => 0111001
[7,8,3,4,1,5,6,2] => 0101001 => 1001010 => 0110101
[7,3,1,8,2,5,6,4] => 1101001 => 1001011 => 0110100
[7,2,3,8,1,5,6,4] => 1001001 => 1001001 => 0110110
[6,4,8,7,3,2,1,5] => 1011110 => 0111101 => 1000010
[2,7,4,8,6,3,1,5] => 0101110 => 0111010 => 1000101
[6,4,8,2,3,1,7,5] => 1010101 => 1010101 => 0101010
[7,2,1,8,3,5,6,4] => 1101001 => 1001011 => 0110100
[5,1,6,3,8,2,4,7] => 1010100 => 0010101 => 1101010
[3,6,5,1,4,8,7,2] => 0110011 => 1100110 => 0011001
[7,3,6,2,8,4,1,5] => 1010110 => 0110101 => 1001010
[6,5,1,8,4,7,2,3] => 1101010 => 0101011 => 1010100
[7,5,4,8,1,6,2,3] => 1101010 => 0101011 => 1010100
[4,3,5,8,7,1,2,6] => 1001100 => 0011001 => 1100110
[3,5,6,8,1,4,2,7] => 0001010 => 0101000 => 1010111
[4,3,5,8,2,1,6,7] => 1001100 => 0011001 => 1100110
[6,4,7,2,3,1,5,8] => 1010100 => 0010101 => 1101010
[6,8,1,5,4,2,7,3] => 0101101 => 1011010 => 0100101
[7,8,6,3,1,4,2,5] => 0111010 => 0101110 => 1010001
[7,8,6,3,5,1,2,4] => 0110100 => 0010110 => 1101001
[7,2,8,5,4,6,3,1] => 1011011 => 1101101 => 0010010
[6,1,8,4,7,2,3,5] => 1010100 => 0010101 => 1101010
[5,6,4,3,7,1,8,2] => 0110101 => 1010110 => 0101001
[6,5,3,7,2,4,8,1] => 1101001 => 1001011 => 0110100
[5,6,2,8,4,3,7,1] => 0101101 => 1011010 => 0100101
[4,1,2,6,8,3,7,5] => 1000101 => 1010001 => 0101110
[7,1,3,6,5,8,4,2] => 1001011 => 1101001 => 0010110
[5,7,4,3,6,8,2,1] => 0110011 => 1100110 => 0011001
[4,6,2,7,8,3,5,1] => 0100101 => 1010010 => 0101101
[5,1,2,4,6,7,8,3] => 1000001 => 1000001 => 0111110
[4,6,3,5,2,8,7,1] => 0101011 => 1101010 => 0010101
[5,6,3,4,8,2,7,1] => 0100101 => 1010010 => 0101101
[5,2,6,4,1,7,8,3] => 1011001 => 1001101 => 0110010
[5,8,4,6,3,2,7,1] => 0101101 => 1011010 => 0100101
[5,4,3,8,6,2,7,1] => 1101101 => 1011011 => 0100100
[5,7,8,2,4,3,6,1] => 0010101 => 1010100 => 0101011
[5,6,2,4,8,3,7,1] => 0100101 => 1010010 => 0101101
[6,4,7,8,2,3,5,1] => 1001001 => 1001001 => 0110110
[3,7,5,2,4,8,1,6] => 0110010 => 0100110 => 1011001
[4,7,5,2,3,8,6,1] => 0110011 => 1100110 => 0011001
[6,4,7,3,2,5,8,1] => 1011001 => 1001101 => 0110010
[5,7,3,2,8,4,6,1] => 0110101 => 1010110 => 0101001
[5,3,7,2,8,4,6,1] => 1010101 => 1010101 => 0101010
[4,3,7,2,5,8,6,1] => 1010011 => 1100101 => 0011010
[4,7,3,2,5,8,6,1] => 0110011 => 1100110 => 0011001
[4,7,3,2,6,8,5,1] => 0110011 => 1100110 => 0011001
[7,5,3,2,6,4,8,1] => 1110101 => 1010111 => 0101000
[8,5,2,6,7,3,4,1] => 1100101 => 1010011 => 0101100
[8,4,2,6,3,7,5,1] => 1101011 => 1101011 => 0010100
[7,4,6,2,3,8,5,1] => 1010011 => 1100101 => 0011010
[7,5,6,2,8,3,4,1] => 1010101 => 1010101 => 0101010
[5,7,6,2,8,3,4,1] => 0110101 => 1010110 => 0101001
[4,7,6,2,3,8,5,1] => 0110011 => 1100110 => 0011001
[7,6,3,2,5,8,1,4] => 1110010 => 0100111 => 1011000
[7,6,4,2,5,8,3,1] => 1110011 => 1100111 => 0011000
[2,10,4,5,6,7,8,9,1,3] => 010000010 => 010000010 => 101111101
[9,8,4,5,6,7,1,2,10,3] => 110001001 => 100100011 => 011011100
[2,10,9,5,6,7,8,1,3,4] => 011000100 => 001000110 => 110111001
[2,11,4,5,6,7,8,9,10,1,3] => 0100000010 => 0100000010 => 1011111101
[11,3,4,5,6,7,8,9,10,1,12,2] => 10000000101 => 10100000001 => 01011111110
[10,9,4,5,6,7,8,1,2,11,3] => 1100001001 => 1001000011 => 0110111100
[9,3,8,5,6,7,1,2,10,4] => 101001001 => 100100101 => 011011010
[9,7,4,5,6,1,8,2,10,3] => 110010101 => 101010011 => 010101100
[2,10,4,9,6,7,8,1,3,5] => 010100100 => 001001010 => 110110101
[2,10,8,5,6,7,1,9,3,4] => 011001010 => 010100110 => 101011001
[2,12,4,5,6,7,8,9,10,11,1,3] => 01000000010 => 01000000010 => 10111111101
[6,3,8,5,4,7,2,1] => 1011011 => 1101101 => 0010010
[1,3,2,4,5,6,7,8,9] => 01000000 => 00000010 => 11111101
[1,4,2,3,5,6,7,8,9] => 01000000 => 00000010 => 11111101
[1,3,2,4,5,6,7,8,9,10] => 010000000 => 000000010 => 111111101
[2,4,6,3,8,7,5,1] => 0010111 => 1110100 => 0001011
[2,4,6,1,8,7,3,5] => 0010110 => 0110100 => 1001011
[2,4,3,6,8,7,1,5] => 0100110 => 0110010 => 1001101
[2,4,6,3,8,7,1,5] => 0010110 => 0110100 => 1001011
[2,4,6,5,8,7,1,3] => 0010110 => 0110100 => 1001011
[2,4,6,8,5,7,3,1] => 0001011 => 1101000 => 0010111
[2,4,6,8,5,7,1,3] => 0001010 => 0101000 => 1010111
[2,4,6,8,3,7,1,5] => 0001010 => 0101000 => 1010111
[2,4,6,8,1,7,3,5] => 0001010 => 0101000 => 1010111
[2,4,6,5,1,8,7,3] => 0011011 => 1101100 => 0010011
[2,4,6,5,8,3,7,1] => 0010101 => 1010100 => 0101011
[2,4,6,5,8,1,7,3] => 0010101 => 1010100 => 0101011
[2,4,6,8,5,1,7,3] => 0001101 => 1011000 => 0100111
[2,4,6,8,7,3,5,1] => 0001101 => 1011000 => 0100111
[2,4,6,8,7,1,5,3] => 0001101 => 1011000 => 0100111
[2,4,6,8,7,1,3,5] => 0001100 => 0011000 => 1100111
[2,4,6,8,5,1,3,7] => 0001100 => 0011000 => 1100111
[2,4,6,5,1,8,3,7] => 0011010 => 0101100 => 1010011
[2,4,6,5,1,3,8,7] => 0011001 => 1001100 => 0110011
[2,4,6,5,3,8,1,7] => 0011010 => 0101100 => 1010011
[2,4,6,5,8,3,1,7] => 0010110 => 0110100 => 1001011
[2,4,6,8,5,3,1,7] => 0001110 => 0111000 => 1000111
[2,4,6,8,7,3,1,5] => 0001110 => 0111000 => 1000111
[2,4,6,8,7,5,1,3] => 0001110 => 0111000 => 1000111
[4,8,7,5,2,1,3,6] => 0111100 => 0011110 => 1100001
[6,1,4,7,5,8,2,3] => 1001010 => 0101001 => 1010110
[1,8,6,5,3,2,7,4] => 0111101 => 1011110 => 0100001
[1,6,3,5,8,2,4,7] => 0100100 => 0010010 => 1101101
[4,6,1,7,8,5,3,2] => 0100111 => 1110010 => 0001101
[6,1,2,7,8,4,5,3] => 1000101 => 1010001 => 0101110
[6,1,3,2,7,8,5,4] => 1010011 => 1100101 => 0011010
[5,6,3,1,7,4,8,2] => 0110101 => 1010110 => 0101001
[4,8,3,7,1,6,5,2] => 0101011 => 1101010 => 0010101
[8,7,2,6,5,1,4,3] => 1101101 => 1011011 => 0100100
[5,8,3,2,1,7,6,4] => 0111011 => 1101110 => 0010001
[5,4,3,8,1,7,6,2] => 1101011 => 1101011 => 0010100
[6,5,3,8,7,1,4,2] => 1101101 => 1011011 => 0100100
[4,3,8,2,7,6,5,1] => 1010111 => 1110101 => 0001010
[4,8,2,7,6,5,3,1] => 0101111 => 1111010 => 0000101
[7,8,2,6,5,4,1,3] => 0101110 => 0111010 => 1000101
[3,8,7,6,2,5,1,4] => 0111010 => 0101110 => 1010001
[4,8,3,7,2,1,6,5] => 0101101 => 1011010 => 0100101
[8,6,3,1,7,5,4,2] => 1110111 => 1110111 => 0001000
[8,6,3,7,1,5,4,2] => 1101011 => 1101011 => 0010100
[4,8,3,7,6,2,5,1] => 0101101 => 1011010 => 0100101
[5,8,2,7,6,4,1,3] => 0101110 => 0111010 => 1000101
[8,4,2,1,7,6,5,3] => 1110111 => 1110111 => 0001000
[1,6,4,2,5,3,7,8] => 0110100 => 0010110 => 1101001
[1,8,6,2,7,3,4,5] => 0110100 => 0010110 => 1101001
[1,6,3,2,4,5,7,8] => 0110000 => 0000110 => 1111001
[1,5,2,6,4,3,7,8] => 0101100 => 0011010 => 1100101
[1,5,2,4,6,3,7,8] => 0100100 => 0010010 => 1101101
[1,8,6,2,3,7,4,5] => 0110010 => 0100110 => 1011001
[1,5,2,8,6,3,4,7] => 0101100 => 0011010 => 1100101
[1,3,6,8,2,7,4,5] => 0001010 => 0101000 => 1010111
[1,4,3,8,2,5,6,7] => 0101000 => 0001010 => 1110101
[1,7,2,3,8,5,4,6] => 0100110 => 0110010 => 1001101
[1,3,8,4,2,5,6,7] => 0011000 => 0001100 => 1110011
[1,6,2,8,5,4,3,7] => 0101110 => 0111010 => 1000101
[1,7,2,3,8,6,4,5] => 0100110 => 0110010 => 1001101
[1,5,3,8,2,7,4,6] => 0101010 => 0101010 => 1010101
[1,4,8,2,5,6,3,7] => 0010010 => 0100100 => 1011011
[1,5,7,3,2,8,4,6] => 0011010 => 0101100 => 1010011
[1,2,7,3,6,8,4,5] => 0010010 => 0100100 => 1011011
[1,7,2,3,6,8,4,5] => 0100010 => 0100010 => 1011101
[1,4,8,3,2,5,6,7] => 0011000 => 0001100 => 1110011
[1,7,2,5,8,3,4,6] => 0100100 => 0010010 => 1101101
[8,2,3,4,5,6,7,9,1] => 10000001 => 10000001 => 01111110
[7,2,3,4,5,6,9,8,1] => 10000011 => 11000001 => 00111110
[6,2,3,4,5,9,7,8,1] => 10000101 => 10100001 => 01011110
[5,2,3,4,9,6,7,8,1] => 10001001 => 10010001 => 01101110
[4,2,3,9,5,6,7,8,1] => 10010001 => 10001001 => 01110110
[3,2,9,4,5,6,7,8,1] => 10100001 => 10000101 => 01111010
[2,9,3,4,5,6,7,8,1] => 01000001 => 10000010 => 01111101
[9,2,3,4,5,6,7,8,10,1] => 100000001 => 100000001 => 011111110
[6,2,3,4,5,1,8,9,7] => 10001001 => 10010001 => 01101110
[8,2,3,4,5,6,7,10,9,1] => 100000011 => 110000001 => 001111110
[5,2,3,4,1,7,9,8,6] => 10010011 => 11001001 => 00110110
[7,2,3,4,5,6,10,8,9,1] => 100000101 => 101000001 => 010111110
[6,2,3,5,8,1,7,4] => 1000101 => 1010001 => 0101110
[4,2,3,1,6,9,7,8,5] => 10100101 => 10100101 => 01011010
[6,2,3,4,5,10,7,8,9,1] => 100001001 => 100100001 => 011011110
[5,2,4,8,1,6,7,3] => 1001001 => 1001001 => 0110110
[3,2,1,5,9,6,7,8,4] => 11001001 => 10010011 => 01101100
[5,2,3,4,10,6,7,8,9,1] => 100010001 => 100010001 => 011101110
[2,1,4,9,5,6,7,8,3] => 10010001 => 10001001 => 01110110
[4,2,3,10,5,6,7,8,9,1] => 100100001 => 100001001 => 011110110
[1,3,9,4,5,6,7,8,2] => 00100001 => 10000100 => 01111011
[3,2,10,4,5,6,7,8,9,1] => 101000001 => 100000101 => 011111010
[2,10,3,4,5,6,7,8,9,1] => 010000001 => 100000010 => 011111101
[2,3,5,6,4,7,8,1,9] => 00010010 => 01001000 => 10110111
[1,3,4,6,7,5,8,9,2] => 00001001 => 10010000 => 01101111
[2,3,4,6,7,5,8,9,1,10] => 000010010 => 010010000 => 101101111
[2,3,6,5,7,4,8,1,9] => 00101010 => 01010100 => 10101011
[2,3,5,6,7,1,8,4,9] => 00001010 => 01010000 => 10101111
[2,6,4,5,7,3,1,8] => 0100110 => 0110010 => 1001101
[2,5,6,3,4,7,1,8] => 0010010 => 0100100 => 1011011
[1,3,7,5,6,8,4,2] => 0010011 => 1100100 => 0011011
[1,3,6,7,4,5,8,2] => 0001001 => 1001000 => 0110111
[1,3,4,7,6,8,5,9,2] => 00010101 => 10101000 => 01010111
[1,3,4,6,7,8,2,9,5] => 00000101 => 10100000 => 01011111
[1,3,4,5,7,8,6,9,10,2] => 000001001 => 100100000 => 011011111
[1,5,6,3,4,2,7,8] => 0010100 => 0010100 => 1101011
[1,5,6,3,4,7,2,8] => 0010010 => 0100100 => 1011011
[1,5,3,6,4,2,7,8] => 0101100 => 0011010 => 1100101
[1,7,5,6,8,3,4,2] => 0100101 => 1010010 => 0101101
[1,7,5,6,3,8,4,2] => 0101011 => 1101010 => 0010101
[1,3,7,5,2,8,6,4] => 0011011 => 1101100 => 0010011
[1,3,7,2,5,8,6,4] => 0010011 => 1100100 => 0011011
[1,5,3,7,4,6,2,8] => 0101010 => 0101010 => 1010101
[1,5,3,7,6,4,2,8] => 0101110 => 0111010 => 1000101
[1,5,3,6,7,4,2,8] => 0100110 => 0110010 => 1001101
[1,5,6,3,7,4,2,8] => 0010110 => 0110100 => 1001011
[1,5,7,6,3,4,8,2] => 0011001 => 1001100 => 0110011
[1,5,7,3,6,4,8,2] => 0010101 => 1010100 => 0101011
[1,3,7,2,5,6,8,4] => 0010001 => 1000100 => 0111011
[1,3,7,5,6,2,8,4] => 0010101 => 1010100 => 0101011
[2,5,7,4,1,3,8,6] => 0011001 => 1001100 => 0110011
[6,7,3,1,8,5,2,4] => 0110110 => 0110110 => 1001001
[6,3,1,5,8,7,2,4] => 1100110 => 0110011 => 1001100
[8,3,5,1,7,6,2,4] => 1010110 => 0110101 => 1001010
[4,6,3,5,8,2,1,7] => 0100110 => 0110010 => 1001101
[2,3,6,4,1,8,7,5] => 0011011 => 1101100 => 0010011
[7,4,5,2,1,8,6,3] => 1011011 => 1101101 => 0010010
[4,7,5,2,1,8,6,3] => 0111011 => 1101110 => 0010001
[8,5,3,6,2,1,7,4] => 1101101 => 1011011 => 0100100
[4,5,7,3,1,2,8,6] => 0011001 => 1001100 => 0110011
[4,5,1,8,3,2,7,6] => 0101101 => 1011010 => 0100101
[5,7,4,6,3,2,1,8] => 0101110 => 0111010 => 1000101
[3,6,1,2,4,8,7,5] => 0100011 => 1100010 => 0011101
[2,5,3,8,4,1,7,6] => 0101101 => 1011010 => 0100101
[8,6,2,3,1,7,5,4] => 1101011 => 1101011 => 0010100
[7,5,2,3,1,8,6,4] => 1101011 => 1101011 => 0010100
[6,3,1,2,4,8,7,5] => 1100011 => 1100011 => 0011100
[4,7,5,2,3,6,1,8] => 0110010 => 0100110 => 1011001
[3,6,8,4,5,1,2,7] => 0010100 => 0010100 => 1101011
[5,2,3,7,6,4,1,8] => 1001110 => 0111001 => 1000110
[6,2,7,3,5,4,1,8] => 1010110 => 0110101 => 1001010
[7,2,6,5,3,4,1,8] => 1011010 => 0101101 => 1010010
[8,2,6,5,4,1,3,7] => 1011100 => 0011101 => 1100010
[6,2,8,4,5,1,3,7] => 1010100 => 0010101 => 1101010
[2,3,1,7,8,5,6,4] => 0100101 => 1010010 => 0101101
[7,2,8,5,1,4,3,6] => 1011010 => 0101101 => 1010010
[8,6,7,1,4,2,3,5] => 1010100 => 0010101 => 1101010
[6,8,7,1,4,3,2,5] => 0110110 => 0110110 => 1001001
[6,8,2,5,3,1,4,7] => 0101100 => 0011010 => 1100101
[3,7,8,5,1,4,2,6] => 0011010 => 0101100 => 1010011
[4,8,7,3,1,2,5,6] => 0111000 => 0001110 => 1110001
[4,8,6,2,3,1,5,7] => 0110100 => 0010110 => 1101001
[3,8,5,4,2,1,6,7] => 0111100 => 0011110 => 1100001
[4,5,3,8,2,1,6,7] => 0101100 => 0011010 => 1100101
[3,7,4,1,8,2,6,5] => 0110101 => 1010110 => 0101001
[3,8,4,1,7,6,2,5] => 0110110 => 0110110 => 1001001
[3,7,2,1,8,4,6,5] => 0110101 => 1010110 => 0101001
[8,7,1,6,5,2,3,4] => 1101100 => 0011011 => 1100100
[8,5,1,2,7,6,3,4] => 1100110 => 0110011 => 1001100
[3,8,2,1,7,6,4,5] => 0110110 => 0110110 => 1001001
[3,5,7,8,2,4,6,1] => 0001001 => 1001000 => 0110111
[7,8,2,5,4,3,6,1] => 0101101 => 1011010 => 0100101
[4,5,3,7,8,2,6,1] => 0100101 => 1010010 => 0101101
[1,5,4,7,3,6,2,8] => 0101010 => 0101010 => 1010101
[1,7,3,6,8,4,5,2] => 0100101 => 1010010 => 0101101
[4,6,8,2,7,3,5,1] => 0010101 => 1010100 => 0101011
[4,7,6,3,5,1,8,2] => 0110101 => 1010110 => 0101001
[7,8,3,6,1,5,4,2] => 0101011 => 1101010 => 0010101
[2,5,7,8,4,6,1,3] => 0001010 => 0101000 => 1010111
[3,7,5,6,2,1,4,8] => 0101100 => 0011010 => 1100101
[6,2,1,7,4,5,3,8] => 1101010 => 0101011 => 1010100
[1,2,6,4,7,5,3,8] => 0010110 => 0110100 => 1001011
[7,5,6,3,8,4,2,1] => 1010111 => 1110101 => 0001010
[8,5,4,2,1,6,7,3] => 1111001 => 1001111 => 0110000
[2,6,8,4,7,5,1,3] => 0010110 => 0110100 => 1001011
[6,7,5,1,4,8,3,2] => 0110011 => 1100110 => 0011001
[7,4,1,6,5,3,8,2] => 1101101 => 1011011 => 0100100
[5,8,2,7,3,6,4,1] => 0101011 => 1101010 => 0010101
[1,6,5,7,3,8,4,2] => 0101011 => 1101010 => 0010101
[1,5,6,8,4,2,7,3] => 0001101 => 1011000 => 0100111
[7,5,4,1,8,2,6,3] => 1110101 => 1010111 => 0101000
[6,4,1,8,2,7,5,3] => 1101011 => 1101011 => 0010100
[7,8,5,3,2,6,1,4] => 0111010 => 0101110 => 1010001
[8,2,5,1,7,6,4,3] => 1010111 => 1110101 => 0001010
[6,7,4,3,8,2,5,1] => 0110101 => 1010110 => 0101001
[3,4,2,7,8,6,1,5] => 0100110 => 0110010 => 1001101
[7,8,6,1,4,3,2,5] => 0110110 => 0110110 => 1001001
[2,4,7,8,6,1,3,5] => 0001100 => 0011000 => 1100111
[3,7,8,6,5,2,4,1] => 0011101 => 1011100 => 0100011
[4,5,2,7,8,6,3,1] => 0100111 => 1110010 => 0001101
[4,6,2,5,3,1,7,8] => 0101100 => 0011010 => 1100101
[4,1,5,6,3,2,7,8] => 1001100 => 0011001 => 1100110
[2,6,7,5,4,1,3,8] => 0011100 => 0011100 => 1100011
[4,1,6,7,5,3,2,8] => 1001110 => 0111001 => 1000110
[6,7,4,3,1,5,2,8] => 0111010 => 0101110 => 1010001
[1,7,5,6,4,3,2,8] => 0101110 => 0111010 => 1000101
[7,6,5,3,1,8,4,2] => 1111011 => 1101111 => 0010000
[7,8,6,4,3,1,5,2] => 0111101 => 1011110 => 0100001
[4,1,7,8,6,5,3,2] => 1001111 => 1111001 => 0000110
[4,5,7,3,8,6,1,2] => 0010110 => 0110100 => 1001011
[6,8,5,3,7,2,1,4] => 0110110 => 0110110 => 1001001
[4,7,1,5,8,2,6,3] => 0100101 => 1010010 => 0101101
[3,7,6,2,1,8,4,5] => 0111010 => 0101110 => 1010001
[2,7,5,8,3,6,4,1] => 0101011 => 1101010 => 0010101
[7,4,8,2,6,5,3,1] => 1010111 => 1110101 => 0001010
[7,5,4,8,2,6,3,1] => 1101011 => 1101011 => 0010100
[4,3,8,1,6,5,2,7] => 1010110 => 0110101 => 1001010
[2,3,6,5,7,8,1,4] => 0010010 => 0100100 => 1011011
[8,3,4,1,2,6,7,5] => 1010001 => 1000101 => 0111010
[7,3,4,8,5,2,1,6] => 1001110 => 0111001 => 1000110
[7,3,8,4,1,5,6,2] => 1011001 => 1001101 => 0110010
[7,2,4,5,1,8,3,6] => 1001010 => 0101001 => 1010110
[7,3,1,2,8,5,6,4] => 1100101 => 1010011 => 0101100
[4,8,2,3,5,7,6,1] => 0100011 => 1100010 => 0011101
[4,5,2,3,8,6,7,1] => 0100101 => 1010010 => 0101101
[6,7,4,8,5,3,2,1] => 0101111 => 1111010 => 0000101
[4,3,5,6,1,7,8,2] => 1001001 => 1001001 => 0110110
[3,5,2,6,4,7,8,1] => 0101001 => 1001010 => 0110101
[4,1,2,8,5,7,6,3] => 1001011 => 1101001 => 0010110
[3,1,5,6,4,7,8,2] => 1001001 => 1001001 => 0110110
[3,1,4,6,7,5,8,2] => 1000101 => 1010001 => 0101110
[2,6,4,5,8,1,3,7] => 0100100 => 0010010 => 1101101
[6,4,1,3,5,8,2,7] => 1100010 => 0100011 => 1011100
[3,4,1,7,2,6,8,5] => 0101001 => 1001010 => 0110101
[2,4,7,5,8,1,3,6] => 0010100 => 0010100 => 1101011
[3,7,6,2,1,5,8,4] => 0111001 => 1001110 => 0110001
[4,2,6,1,3,7,8,5] => 1010001 => 1000101 => 0111010
[8,5,4,2,7,6,3,1] => 1110111 => 1110111 => 0001000
[2,8,4,6,7,1,3,5] => 0100100 => 0010010 => 1101101
[5,8,2,1,4,6,7,3] => 0110001 => 1000110 => 0111001
[8,4,6,1,2,5,7,3] => 1010001 => 1000101 => 0111010
[3,7,8,4,2,6,5,1] => 0011011 => 1101100 => 0010011
[5,6,2,8,7,1,3,4] => 0101100 => 0011010 => 1100101
[7,1,3,8,4,5,6,2] => 1001001 => 1001001 => 0110110
[7,8,1,4,3,5,6,2] => 0101001 => 1001010 => 0110101
[3,6,7,2,8,1,5,4] => 0010101 => 1010100 => 0101011
[2,6,7,1,3,5,8,4] => 0010001 => 1000100 => 0111011
[3,6,7,1,8,2,5,4] => 0010101 => 1010100 => 0101011
[3,4,1,8,7,2,6,5] => 0101101 => 1011010 => 0100101
[3,1,5,7,2,8,6,4] => 1001011 => 1101001 => 0010110
[4,8,1,3,2,7,6,5] => 0101011 => 1101010 => 0010101
[4,1,8,3,2,7,6,5] => 1011011 => 1101101 => 0010010
[3,8,2,4,7,1,6,5] => 0100101 => 1010010 => 0101101
[3,2,4,8,7,1,6,5] => 1001101 => 1011001 => 0100110
[3,2,5,7,1,8,6,4] => 1001011 => 1101001 => 0010110
[4,2,8,3,1,7,6,5] => 1011011 => 1101101 => 0010010
[4,8,2,1,3,7,6,5] => 0110011 => 1100110 => 0011001
[4,2,8,1,3,7,6,5] => 1010011 => 1100101 => 0011010
[2,3,4,6,8,7,1,5] => 0000110 => 0110000 => 1001111
[5,6,4,7,1,2,8,3] => 0101001 => 1001010 => 0110101
[4,6,7,5,8,2,3,1] => 0010101 => 1010100 => 0101011
[4,5,7,1,6,8,3,2] => 0010011 => 1100100 => 0011011
[3,2,7,6,8,1,4,5] => 1010100 => 0010101 => 1101010
[4,5,1,7,6,8,2,3] => 0101010 => 0101010 => 1010101
[6,7,2,8,3,1,4,5] => 0101100 => 0011010 => 1100101
[7,6,3,1,2,8,4,5] => 1110010 => 0100111 => 1011000
[6,2,7,8,4,1,3,5] => 1001100 => 0011001 => 1100110
[7,8,5,2,4,1,3,6] => 0110100 => 0010110 => 1101001
[7,6,2,3,1,8,4,5] => 1101010 => 0101011 => 1010100
[4,2,5,1,3,7,8,6] => 1010001 => 1000101 => 0111010
[3,5,1,4,2,7,8,6] => 0101001 => 1001010 => 0110101
[3,4,1,7,8,5,2,6] => 0100110 => 0110010 => 1001101
[4,1,3,7,8,5,2,6] => 1000110 => 0110001 => 1001110
[4,3,1,8,5,2,7,6] => 1101101 => 1011011 => 0100100
[3,1,8,5,4,2,7,6] => 1011101 => 1011101 => 0100010
[7,6,3,5,8,4,2,1] => 1100111 => 1110011 => 0001100
[4,5,1,3,2,7,8,6] => 0101001 => 1001010 => 0110101
[5,1,3,2,4,7,8,6] => 1010001 => 1000101 => 0111010
[8,3,5,6,1,7,2,4] => 1001010 => 0101001 => 1010110
[4,5,8,1,2,6,7,3] => 0010001 => 1000100 => 0111011
[5,3,6,7,8,2,1,4] => 1000110 => 0110001 => 1001110
[1,3,4,8,6,2,7,5] => 0001101 => 1011000 => 0100111
[7,2,4,1,3,8,5,6] => 1010010 => 0100101 => 1011010
[3,8,2,5,4,1,6,7] => 0101100 => 0011010 => 1100101
[8,4,5,2,6,1,7,3] => 1010101 => 1010101 => 0101010
[4,6,8,2,3,7,5,1] => 0010011 => 1100100 => 0011011
[4,5,7,2,3,6,1,8] => 0010010 => 0100100 => 1011011
[2,7,3,4,1,5,6,8] => 0101000 => 0001010 => 1110101
[6,7,2,3,4,8,1,5] => 0100010 => 0100010 => 1011101
[3,5,2,4,6,7,8,1] => 0100001 => 1000010 => 0111101
[4,2,6,3,5,7,8,1] => 1010001 => 1000101 => 0111010
[2,3,4,5,6,1,8,7,9] => 00001010 => 01010000 => 10101111
[2,3,4,5,1,7,6,8,9] => 00010100 => 00101000 => 11010111
[2,3,4,1,6,5,7,8,9] => 00101000 => 00010100 => 11101011
[2,3,1,5,4,6,7,8,9] => 01010000 => 00001010 => 11110101
[1,4,8,5,6,2,7,3] => 0010101 => 1010100 => 0101011
[2,4,8,5,6,1,7,3] => 0010101 => 1010100 => 0101011
[6,3,5,8,4,7,1,2] => 1001010 => 0101001 => 1010110
[2,8,7,4,5,1,6,3] => 0110101 => 1010110 => 0101001
[1,3,8,5,2,6,7,4] => 0011001 => 1001100 => 0110011
[7,2,8,4,5,1,6,3] => 1010101 => 1010101 => 0101010
[6,2,3,5,1,7,8,4] => 1001001 => 1001001 => 0110110
[8,6,2,4,1,5,7,3] => 1101001 => 1001011 => 0110100
[1,6,4,3,2,7,8,5] => 0111001 => 1001110 => 0110001
[8,5,3,2,1,6,7,4] => 1111001 => 1001111 => 0110000
[1,7,5,2,3,6,8,4] => 0110001 => 1000110 => 0111001
[7,1,5,2,3,6,8,4] => 1010001 => 1000101 => 0111010
[8,1,2,5,3,6,7,4] => 1001001 => 1001001 => 0110110
[8,4,1,6,3,7,2,5] => 1101010 => 0101011 => 1010100
[6,7,5,3,8,2,1,4] => 0110110 => 0110110 => 1001001
[5,2,6,8,3,7,1,4] => 1001010 => 0101001 => 1010110
[4,2,5,8,6,7,1,3] => 1001010 => 0101001 => 1010110
[5,8,6,3,4,1,7,2] => 0110101 => 1010110 => 0101001
[3,7,2,4,1,8,6,5] => 0101011 => 1101010 => 0010101
[2,4,7,8,5,1,3,6] => 0001100 => 0011000 => 1100111
[2,5,3,8,4,1,6,7] => 0101100 => 0011010 => 1100101
[5,7,6,8,1,3,4,2] => 0101001 => 1001010 => 0110101
[3,1,7,4,5,6,2,8] => 1010010 => 0100101 => 1011010
[2,4,8,3,5,7,1,6] => 0010010 => 0100100 => 1011011
[8,1,7,2,4,3,5,6] => 1010100 => 0010101 => 1101010
[1,3,8,2,4,7,5,6] => 0010010 => 0100100 => 1011011
[1,3,7,2,4,6,5,8] => 0010010 => 0100100 => 1011011
[1,7,3,2,4,6,5,8] => 0110010 => 0100110 => 1011001
[1,8,3,7,4,2,5,6] => 0101100 => 0011010 => 1100101
[8,7,3,1,4,2,5,6] => 1110100 => 0010111 => 1101000
[2,8,4,3,5,7,1,6] => 0110010 => 0100110 => 1011001
[3,2,8,7,4,1,5,6] => 1011100 => 0011101 => 1100010
[3,2,1,7,4,6,5,8] => 1101010 => 0101011 => 1010100
[3,2,6,5,1,7,8,4] => 1011001 => 1001101 => 0110010
[5,3,2,6,7,1,8,4] => 1100101 => 1010011 => 0101100
[3,2,8,6,7,4,1,5] => 1010110 => 0110101 => 1001010
[8,4,6,2,7,3,1,5] => 1010110 => 0110101 => 1001010
[4,3,8,6,7,2,1,5] => 1010110 => 0110101 => 1001010
[4,3,6,2,8,7,1,5] => 1010110 => 0110101 => 1001010
[3,8,4,7,6,5,1,2] => 0101110 => 0111010 => 1000101
[7,8,4,2,6,3,5,1] => 0110101 => 1010110 => 0101001
[3,2,7,8,6,4,5,1] => 1001101 => 1011001 => 0100110
[3,2,7,5,6,8,4,1] => 1010011 => 1100101 => 0011010
[5,7,8,6,3,2,4,1] => 0011101 => 1011100 => 0100011
[6,5,4,2,1,7,8,3] => 1111001 => 1001111 => 0110000
[5,4,2,1,7,6,3,8] => 1110110 => 0110111 => 1001000
[4,1,6,5,2,7,8,3] => 1011001 => 1001101 => 0110010
[5,4,1,6,7,2,8,3] => 1100101 => 1010011 => 0101100
[6,8,5,3,1,7,2,4] => 0111010 => 0101110 => 1010001
[5,2,6,3,8,7,1,4] => 1010110 => 0110101 => 1001010
[8,6,1,7,3,4,2,5] => 1101010 => 0101011 => 1010100
[1,8,3,6,7,4,2,5] => 0100110 => 0110010 => 1001101
[1,6,3,5,2,7,8,4] => 0101001 => 1001010 => 0110101
[1,5,7,3,2,6,4,8] => 0011010 => 0101100 => 1010011
[5,1,3,7,2,6,4,8] => 1001010 => 0101001 => 1010110
[8,1,6,7,2,4,3,5] => 1001010 => 0101001 => 1010110
[6,1,4,8,2,7,3,5] => 1001010 => 0101001 => 1010110
[6,2,4,8,3,7,1,5] => 1001010 => 0101001 => 1010110
[8,7,2,6,3,5,1,4] => 1101010 => 0101011 => 1010100
[8,1,7,6,5,2,3,4] => 1011100 => 0011101 => 1100010
[7,1,5,6,8,2,4,3] => 1000101 => 1010001 => 0101110
[6,7,1,5,2,4,8,3] => 0101001 => 1001010 => 0110101
[7,6,1,5,2,4,3,8] => 1101010 => 0101011 => 1010100
[7,1,6,3,5,4,2,8] => 1010110 => 0110101 => 1001010
[1,6,7,3,5,4,8,2] => 0010101 => 1010100 => 0101011
[1,7,3,5,6,8,4,2] => 0100011 => 1100010 => 0011101
[1,7,8,3,6,4,5,2] => 0010101 => 1010100 => 0101011
[1,8,7,6,4,5,2,3] => 0111010 => 0101110 => 1010001
[8,2,7,4,6,5,1,3] => 1010110 => 0110101 => 1001010
[2,8,5,7,6,4,1,3] => 0101110 => 0111010 => 1000101
[7,4,5,1,6,8,3,2] => 1010011 => 1100101 => 0011010
[4,1,7,5,6,8,3,2] => 1010011 => 1100101 => 0011010
[5,6,7,4,3,1,8,2] => 0011101 => 1011100 => 0100011
[6,7,8,5,3,1,4,2] => 0011101 => 1011100 => 0100011
[1,4,6,2,5,3,7,8] => 0010100 => 0010100 => 1101011
[1,6,3,2,5,4,7,8] => 0110100 => 0010110 => 1101001
[1,6,8,2,5,4,7,3] => 0010101 => 1010100 => 0101011
[1,5,4,2,6,3,7,8] => 0110100 => 0010110 => 1101001
[1,2,6,4,3,5,7,8] => 0011000 => 0001100 => 1110011
[1,6,8,2,7,5,4,3] => 0010111 => 1110100 => 0001011
[1,7,4,3,2,6,8,5] => 0111001 => 1001110 => 0110001
[1,5,4,7,2,6,8,3] => 0101001 => 1001010 => 0110101
[1,3,7,6,2,8,5,4] => 0011011 => 1101100 => 0010011
[1,7,6,2,8,4,3,5] => 0110110 => 0110110 => 1001001
[1,5,2,8,4,3,7,6] => 0101101 => 1011010 => 0100101
[1,2,8,4,3,6,5,7] => 0011010 => 0101100 => 1010011
[1,2,8,5,6,3,4,7] => 0010100 => 0010100 => 1101011
[1,7,3,5,2,8,6,4] => 0101011 => 1101010 => 0010101
[1,6,7,2,5,8,4,3] => 0010011 => 1100100 => 0011011
[1,5,8,3,2,7,4,6] => 0011010 => 0101100 => 1010011
[1,4,5,8,2,6,3,7] => 0001010 => 0101000 => 1010111
[1,7,6,4,8,2,5,3] => 0110101 => 1010110 => 0101001
[1,4,8,6,5,2,7,3] => 0011101 => 1011100 => 0100011
[1,3,8,2,6,5,4,7] => 0010110 => 0110100 => 1001011
[1,7,6,3,8,2,4,5] => 0110100 => 0010110 => 1101001
[1,5,2,7,6,4,8,3] => 0101101 => 1011010 => 0100101
[1,2,4,3,8,7,5,6] => 0010110 => 0110100 => 1001011
[1,4,3,8,7,2,5,6] => 0101100 => 0011010 => 1100101
[1,3,8,6,2,4,5,7] => 0011000 => 0001100 => 1110011
[1,3,8,5,4,2,6,7] => 0011100 => 0011100 => 1100011
[1,7,2,4,8,6,5,3] => 0100111 => 1110010 => 0001101
[1,6,5,3,2,8,7,4] => 0111011 => 1101110 => 0010001
[1,3,2,8,7,5,4,6] => 0101110 => 0111010 => 1000101
[1,2,8,6,5,4,3,7] => 0011110 => 0111100 => 1000011
[8,1,3,4,6,5,2,7] => 1000110 => 0110001 => 1001110
[8,3,1,4,6,5,2,7] => 1100110 => 0110011 => 1001100
[5,8,3,1,2,6,4,7] => 0110010 => 0100110 => 1011001
[4,8,1,7,5,2,3,6] => 0101100 => 0011010 => 1100101
[4,8,1,7,5,2,6,3] => 0101101 => 1011010 => 0100101
[8,5,1,4,2,6,3,7] => 1101010 => 0101011 => 1010100
[8,4,1,3,5,6,2,7] => 1100010 => 0100011 => 1011100
[8,5,3,2,1,6,4,7] => 1111010 => 0101111 => 1010000
[8,1,5,4,2,6,3,7] => 1011010 => 0101101 => 1010010
[8,5,2,4,1,6,3,7] => 1101010 => 0101011 => 1010100
[4,8,7,1,5,2,6,3] => 0110101 => 1010110 => 0101001
[4,8,7,1,5,2,3,6] => 0110100 => 0010110 => 1101001
[7,6,8,4,1,3,2,5] => 1011010 => 0101101 => 1010010
[7,6,8,4,1,3,5,2] => 1011001 => 1001101 => 0110010
[3,8,7,5,4,1,2,6] => 0111100 => 0011110 => 1100001
[4,8,2,7,5,1,3,6] => 0101100 => 0011010 => 1100101
[7,6,8,4,1,5,2,3] => 1011010 => 0101101 => 1010010
[8,7,6,1,5,2,3,4] => 1110100 => 0010111 => 1101000
[7,1,4,8,6,3,5,2] => 1001101 => 1011001 => 0100110
[8,1,6,5,3,4,7,2] => 1011001 => 1001101 => 0110010
[8,6,2,5,3,4,7,1] => 1101001 => 1001011 => 0110100
[8,6,5,1,3,4,7,2] => 1110001 => 1000111 => 0111000
[8,7,5,1,3,6,2,4] => 1110010 => 0100111 => 1011000
[8,7,1,5,3,6,2,4] => 1101010 => 0101011 => 1010100
[8,6,1,3,5,4,7,2] => 1100101 => 1010011 => 0101100
[7,1,4,8,3,6,5,2] => 1001011 => 1101001 => 0010110
[7,8,5,2,4,3,6,1] => 0110101 => 1010110 => 0101001
[7,3,8,2,5,4,6,1] => 1010101 => 1010101 => 0101010
[8,4,2,5,3,7,6,1] => 1101011 => 1101011 => 0010100
[4,8,1,5,3,7,6,2] => 0101011 => 1101010 => 0010101
[7,4,8,2,6,3,5,1] => 1010101 => 1010101 => 0101010
[7,4,8,2,6,3,1,5] => 1010110 => 0110101 => 1001010
[8,7,3,1,6,4,2,5] => 1110110 => 0110111 => 1001000
[8,7,3,1,6,4,5,2] => 1110101 => 1010111 => 0101000
[8,7,3,1,4,6,5,2] => 1110011 => 1100111 => 0011000
[8,4,3,2,7,5,6,1] => 1110101 => 1010111 => 0101000
[6,4,1,7,8,5,3,2] => 1100111 => 1110011 => 0001100
[7,6,3,4,1,8,5,2] => 1101011 => 1101011 => 0010100
[8,7,3,1,6,2,5,4] => 1110101 => 1010111 => 0101000
[7,8,6,4,2,5,1,3] => 0111010 => 0101110 => 1010001
[7,8,2,4,6,5,1,3] => 0100110 => 0110010 => 1001101
[8,1,7,3,5,6,2,4] => 1010010 => 0100101 => 1011010
[8,7,5,2,4,6,1,3] => 1110010 => 0100111 => 1011000
[8,1,7,5,4,6,2,3] => 1011010 => 0101101 => 1010010
[8,7,3,2,6,1,5,4] => 1110101 => 1010111 => 0101000
[5,3,1,7,6,4,2,8] => 1101110 => 0111011 => 1000100
[1,8,6,4,2,9,7,5,3] => 01110111 => 11101110 => 00010001
[9,7,5,3,1,8,6,4,2,10] => 111101110 => 011101111 => 100010000
[8,6,4,2,1,7,5,3,9] => 11110110 => 01101111 => 10010000
[8,7,5,3,1,6,4,2,9] => 11110110 => 01101111 => 10010000
[7,5,3,2,1,6,4,8] => 1111010 => 0101111 => 1010000
[7,6,5,3,1,4,2,8] => 1111010 => 0101111 => 1010000
[1,8,6,4,3,2,7,5] => 0111101 => 1011110 => 0100001
[1,9,7,5,3,2,8,6,4] => 01111011 => 11011110 => 00100001
[1,8,7,6,4,2,5,3] => 0111101 => 1011110 => 0100001
[1,9,8,6,4,2,7,5,3] => 01111011 => 11011110 => 00100001
[1,10,8,6,4,2,9,7,5,3] => 011110111 => 111011110 => 000100001
[8,4,6,7,5,3,2,1] => 1001111 => 1111001 => 0000110
[1,4,8,6,7,5,3,2] => 0010111 => 1110100 => 0001011
[7,6,2,5,8,4,3,1] => 1100111 => 1110011 => 0001100
[1,7,3,6,8,5,4,2] => 0100111 => 1110010 => 0001101
[8,6,2,5,7,4,3,1] => 1100111 => 1110011 => 0001100
[7,1,3,6,8,5,4,2] => 1000111 => 1110001 => 0001110
[1,8,3,6,7,5,4,2] => 0100111 => 1110010 => 0001101
[8,1,7,6,4,5,3,2] => 1011011 => 1101101 => 0010010
[7,1,8,6,4,5,3,2] => 1011011 => 1101101 => 0010010
[1,6,2,7,4,5,3,8] => 0101010 => 0101010 => 1010101
[1,8,2,6,4,3,5,7] => 0101100 => 0011010 => 1100101
[1,7,2,6,4,3,5,8] => 0101100 => 0011010 => 1100101
[1,7,2,5,4,6,3,8] => 0101010 => 0101010 => 1010101
[6,5,7,2,8,3,4,1] => 1010101 => 1010101 => 0101010
[6,2,7,5,8,1,4,3] => 1010101 => 1010101 => 0101010
[6,7,2,5,8,1,4,3] => 0100101 => 1010010 => 0101101
[6,5,7,3,8,1,4,2] => 1010101 => 1010101 => 0101010
[6,3,7,4,8,2,5,1] => 1010101 => 1010101 => 0101010
[6,3,7,4,8,1,5,2] => 1010101 => 1010101 => 0101010
[8,7,6,4,2,5,3,1] => 1111011 => 1101111 => 0010000
[8,7,4,6,2,3,5,1] => 1101001 => 1001011 => 0110100
[6,8,4,5,7,3,2,1] => 0100111 => 1110010 => 0001101
[6,7,5,1,4,3,8,2] => 0110101 => 1010110 => 0101001
[7,8,5,1,4,3,6,2] => 0110101 => 1010110 => 0101001
[2,7,6,8,3,5,1,4] => 0101010 => 0101010 => 1010101
[7,2,1,5,3,8,6,4] => 1101011 => 1101011 => 0010100
[5,8,2,7,6,1,3,4] => 0101100 => 0011010 => 1100101
[5,1,8,7,3,4,2,6] => 1011010 => 0101101 => 1010010
[8,2,3,6,7,1,4,5] => 1000100 => 0010001 => 1101110
[4,2,3,1,5,8,6,7] => 1010010 => 0100101 => 1011010
[6,3,5,1,2,4,7,8,9] => 10100000 => 00000101 => 11111010
[8,6,5,4,3,2,1,7,9] => 11111100 => 00111111 => 11000000
[3,1,2,4,5,6,7,8,9,10] => 100000000 => 000000001 => 111111110
[6,3,5,1,2,4,7,8,9,10] => 101000000 => 000000101 => 111111010
[9,7,6,5,4,3,2,1,8,10] => 111111100 => 001111111 => 110000000
[10,8,6,9,4,7,2,5,1,3] => 110101010 => 010101011 => 101010100
[2,4,8,7,5,3,1,6] => 0011110 => 0111100 => 1000011
[2,6,8,7,5,3,4,1] => 0011101 => 1011100 => 0100011
[2,6,5,1,4,3,8,7] => 0110101 => 1010110 => 0101001
[6,5,1,2,4,3,8,7] => 1100101 => 1010011 => 0101100
[4,6,5,3,1,2,8,7] => 0111001 => 1001110 => 0110001
[4,8,7,5,3,1,2,6] => 0111100 => 0011110 => 1100001
[4,6,8,7,5,3,1,2] => 0011110 => 0111100 => 1000011
[6,8,7,5,3,1,4,2] => 0111101 => 1011110 => 0100001
[8,7,5,6,3,1,4,2] => 1101101 => 1011011 => 0100100
[8,7,3,4,6,5,1,2] => 1100110 => 0110011 => 1001100
[2,1,4,8,7,3,6,5] => 1001101 => 1011001 => 0100110
[4,8,7,3,1,2,6,5] => 0111001 => 1001110 => 0110001
[8,7,3,4,1,2,6,5] => 1101001 => 1001011 => 0110100
[8,7,3,1,6,5,2,4] => 1110110 => 0110111 => 1001000
[8,7,3,2,6,5,1,4] => 1110110 => 0110111 => 1001000
[2,8,7,3,4,6,5,1] => 0110011 => 1100110 => 0011001
[2,8,7,3,6,5,1,4] => 0110110 => 0110110 => 1001001
[2,8,7,1,6,5,3,4] => 0110110 => 0110110 => 1001001
[8,7,1,2,6,5,3,4] => 1100110 => 0110011 => 1001100
[8,7,1,2,4,3,6,5] => 1100101 => 1010011 => 0101100
[2,1,8,7,3,4,6,5] => 1011001 => 1001101 => 0110010
[8,7,5,1,2,4,3,6] => 1110010 => 0100111 => 1011000
[2,8,7,1,4,3,6,5] => 0110101 => 1010110 => 0101001
[2,8,7,3,4,1,6,5] => 0110101 => 1010110 => 0101001
[2,8,7,5,6,3,4,1] => 0110101 => 1010110 => 0101001
[2,4,8,7,3,1,6,5] => 0011101 => 1011100 => 0100011
[2,8,7,3,1,4,6,5] => 0111001 => 1001110 => 0110001
[2,4,3,1,8,7,5,6] => 0110110 => 0110110 => 1001001
[4,3,1,2,6,8,7,5] => 1100011 => 1100011 => 0011100
[2,8,7,5,6,3,1,4] => 0110110 => 0110110 => 1001001
[2,8,7,5,3,1,6,4] => 0111101 => 1011110 => 0100001
[2,8,7,5,3,6,4,1] => 0111011 => 1101110 => 0010001
[2,8,7,5,6,1,4,3] => 0110101 => 1010110 => 0101001
[2,6,8,7,5,1,4,3] => 0011101 => 1011100 => 0100011
[6,8,7,5,1,2,4,3] => 0111001 => 1001110 => 0110001
[8,7,5,6,1,2,4,3] => 1101001 => 1001011 => 0110100
[8,7,1,2,4,6,5,3] => 1100011 => 1100011 => 0011100
[2,4,8,7,3,6,5,1] => 0011011 => 1101100 => 0010011
[8,7,2,4,3,6,5,1] => 1101011 => 1101011 => 0010100
[4,8,7,1,2,6,5,3] => 0110011 => 1100110 => 0011001
[8,7,5,3,1,2,6,4] => 1111001 => 1001111 => 0110000
[8,7,5,3,6,4,1,2] => 1110110 => 0110111 => 1001000
[8,7,1,4,3,6,5,2] => 1101011 => 1101011 => 0010100
[8,7,3,4,1,6,5,2] => 1101011 => 1101011 => 0010100
[11,2,3,4,5,6,7,8,9,10,1] => 1000000001 => 1000000001 => 0111111110
[10,3,2,4,5,6,7,8,9,1] => 110000001 => 100000011 => 011111100
[9,4,3,2,5,6,7,8,1] => 11100001 => 10000111 => 01111000
[8,1,2,3,4,5,7,6,9] => 10000010 => 01000001 => 10111110
[7,1,2,3,5,4,6,8] => 1000100 => 0010001 => 1101110
[1,9,2,3,4,5,6,8,7] => 01000001 => 10000010 => 01111101
[9,1,2,3,4,5,6,8,7,10] => 100000010 => 010000001 => 101111110
[8,1,2,3,4,7,6,5,9] => 10000110 => 01100001 => 10011110
[8,1,2,3,4,6,5,7,9] => 10000100 => 00100001 => 11011110
[7,1,2,6,4,5,3,8] => 1001010 => 0101001 => 1010110
[7,1,2,4,3,5,6,8] => 1001000 => 0001001 => 1110110
[1,9,2,3,4,5,8,7,6] => 01000011 => 11000010 => 00111101
[1,9,2,3,4,5,7,6,8] => 01000010 => 01000010 => 10111101
[1,10,2,3,4,5,6,7,9,8] => 010000001 => 100000010 => 011111101
[4,7,3,6,5,1,2,8] => 0101100 => 0011010 => 1100101
[7,5,4,2,8,3,1,6] => 1110110 => 0110111 => 1001000
[8,3,6,1,5,2,4,7] => 1010100 => 0010101 => 1101010
[3,1,6,8,5,7,2,4] => 1001010 => 0101001 => 1010110
[5,7,2,1,8,4,6,3] => 0110101 => 1010110 => 0101001
[7,2,8,6,4,3,1,5] => 1011110 => 0111101 => 1000010
[6,3,8,7,4,2,1,5] => 1011110 => 0111101 => 1000010
[7,6,3,2,8,4,1,5] => 1110110 => 0110111 => 1001000
[8,6,1,3,2,4,5,7] => 1101000 => 0001011 => 1110100
[5,8,3,7,4,2,1,6] => 0101110 => 0111010 => 1000101
[4,1,7,3,5,8,6,2] => 1010011 => 1100101 => 0011010
[8,4,7,3,5,2,1,6] => 1010110 => 0110101 => 1001010
[5,4,8,1,3,2,6,7] => 1010100 => 0010101 => 1101010
[4,5,8,2,1,3,6,7] => 0011000 => 0001100 => 1110011
[8,1,3,5,2,4,6,7] => 1001000 => 0001001 => 1110110
[1,8,3,5,7,2,4,6] => 0100100 => 0010010 => 1101101
[1,7,3,8,6,2,4,5] => 0101100 => 0011010 => 1100101
[8,6,2,1,3,7,5,4] => 1110011 => 1100111 => 0011000
[8,1,4,2,7,6,3,5] => 1010110 => 0110101 => 1001010
[1,3,4,5,6,7,8,2,9] => 00000010 => 01000000 => 10111111
[1,3,4,5,6,7,8,10,2,9] => 000000010 => 010000000 => 101111111
[2,1,4,5,6,7,9,3,8] => 10000010 => 01000001 => 10111110
[2,1,4,5,6,7,8,3,9] => 10000010 => 01000001 => 10111110
[1,3,4,5,6,7,8,9,2,10] => 000000010 => 010000000 => 101111111
[1,5,7,3,6,8,2,4] => 0010010 => 0100100 => 1011011
[8,4,6,2,5,7,1,3] => 1010010 => 0100101 => 1011010
[1,3,4,7,6,8,2,5] => 0001010 => 0101000 => 1010111
[8,1,3,6,7,4,2,5] => 1000110 => 0110001 => 1001110
[1,2,4,7,8,5,3,6] => 0000110 => 0110000 => 1001111
[3,1,4,7,6,8,2,5] => 1001010 => 0101001 => 1010110
[4,1,3,7,6,8,2,5] => 1001010 => 0101001 => 1010110
[5,1,7,3,6,8,2,4] => 1010010 => 0100101 => 1011010
[6,7,8,2,4,5,1,3] => 0010010 => 0100100 => 1011011
[5,8,6,2,4,7,1,3] => 0110010 => 0100110 => 1011001
[3,8,2,6,5,7,1,4] => 0101010 => 0101010 => 1010101
[2,8,3,6,7,4,1,5] => 0100110 => 0110010 => 1001101
[8,7,2,5,6,3,1,4] => 1100110 => 0110011 => 1001100
[8,7,1,6,4,3,2,5] => 1101110 => 0111011 => 1000100
[1,8,2,7,5,4,3,6] => 0101110 => 0111010 => 1000101
[3,8,1,7,5,4,2,6] => 0101110 => 0111010 => 1000101
[5,8,6,1,7,3,2,4] => 0110110 => 0110110 => 1001001
[6,7,1,2,8,4,3,5] => 0100110 => 0110010 => 1001101
[2,1,3,8,6,5,4,7] => 1001110 => 0111001 => 1000110
[8,2,1,7,5,4,3,6] => 1101110 => 0111011 => 1000100
[1,3,2,8,6,5,4,7] => 0101110 => 0111010 => 1000101
[3,4,1,7,6,8,2,5] => 0101010 => 0101010 => 1010101
[2,5,7,1,8,4,3,6] => 0010110 => 0110100 => 1001011
[3,5,7,1,6,8,2,4] => 0010010 => 0100100 => 1011011
[4,5,7,6,1,8,2,3] => 0011010 => 0101100 => 1010011
[5,4,7,6,8,3,1,2] => 1010110 => 0110101 => 1001010
[1,5,7,8,6,3,2,4] => 0001110 => 0111000 => 1000111
[8,4,6,7,5,2,1,3] => 1001110 => 0111001 => 1000110
[8,3,7,5,6,2,1,4] => 1010110 => 0110101 => 1001010
[1,4,8,6,7,3,2,5] => 0010110 => 0110100 => 1001011
[2,4,8,6,7,3,1,5] => 0010110 => 0110100 => 1001011
[5,2,7,8,6,3,1,4] => 1001110 => 0111001 => 1000110
[2,3,8,7,5,4,1,6] => 0011110 => 0111100 => 1000011
[1,3,8,7,5,4,2,6] => 0011110 => 0111100 => 1000011
[8,2,7,6,4,3,1,5] => 1011110 => 0111101 => 1000010
[8,1,7,6,4,3,2,5] => 1011110 => 0111101 => 1000010
[4,1,8,6,7,3,2,5] => 1010110 => 0110101 => 1001010
[4,8,7,5,6,2,1,3] => 0110110 => 0110110 => 1001001
[5,6,8,1,7,4,3,2] => 0010111 => 1110100 => 0001011
[1,6,9,8,7,5,4,3,2] => 00111111 => 11111100 => 00000011
[1,4,9,8,7,6,5,3,2] => 00111111 => 11111100 => 00000011
[1,3,9,8,7,6,5,4,2] => 00111111 => 11111100 => 00000011
[8,7,1,9,6,5,4,3,2] => 11011111 => 11111011 => 00000100
[1,8,10,9,7,6,5,4,3,2] => 001111111 => 111111100 => 000000011
[6,7,9,1,8,5,4,3,2] => 00101111 => 11110100 => 00001011
[1,7,10,9,8,6,5,4,3,2] => 001111111 => 111111100 => 000000011
[5,6,9,8,1,7,4,3,2] => 00110111 => 11101100 => 00010011
[4,1,8,7,3,6,5,2] => 1011011 => 1101101 => 0010010
[5,6,8,4,1,7,3,2] => 0011011 => 1101100 => 0010011
[5,4,9,8,7,1,6,3,2] => 10111011 => 11011101 => 00100010
[1,5,10,9,8,7,6,4,3,2] => 001111111 => 111111100 => 000000011
[4,5,8,7,3,1,6,2] => 0011101 => 1011100 => 0100011
[3,4,9,8,7,6,1,5,2] => 00111101 => 10111100 => 01000011
[1,4,10,9,8,7,6,5,3,2] => 001111111 => 111111100 => 000000011
[2,3,9,8,7,6,5,1,4] => 00111110 => 01111100 => 10000011
[9,8,1,10,7,6,5,4,3,2] => 110111111 => 111111011 => 000000100
[1,9,11,10,8,7,6,5,4,3,2] => 0011111111 => 1111111100 => 0000000011
[1,7,6,9,8,5,4,3,2] => 01011111 => 11111010 => 00000101
[7,8,10,1,9,6,5,4,3,2] => 001011111 => 111110100 => 000001011
[1,8,11,10,9,7,6,5,4,3,2] => 0011111111 => 1111111100 => 0000000011
[1,6,9,5,8,7,4,3,2] => 00101111 => 11110100 => 00001011
[8,7,6,1,9,5,4,3,2] => 11101111 => 11110111 => 00001000
[6,7,10,9,1,8,5,4,3,2] => 001101111 => 111101100 => 000010011
[7,1,11,10,9,8,6,5,4,3,2] => 1011111111 => 1111111101 => 0000000010
[3,1,8,4,7,6,5,2] => 1010111 => 1110101 => 0001010
[5,1,9,8,4,7,6,3,2] => 10110111 => 11101101 => 00010010
[6,7,9,5,1,8,4,3,2] => 00110111 => 11101100 => 00010011
[6,5,10,9,8,1,7,4,3,2] => 101110111 => 111011101 => 000100010
[1,6,11,10,9,8,7,5,4,3,2] => 0011111111 => 1111111100 => 0000000011
[1,4,9,8,7,3,6,5,2] => 00111011 => 11011100 => 00100011
[5,6,9,8,4,1,7,3,2] => 00111011 => 11011100 => 00100011
[4,5,10,9,8,7,1,6,3,2] => 001111011 => 110111100 => 001000011
[1,5,11,10,9,8,7,6,4,3,2] => 0011111111 => 1111111100 => 0000000011
[1,3,9,8,7,6,2,5,4] => 00111101 => 10111100 => 01000011
[1,5,8,4,3,7,6,2] => 0011011 => 1101100 => 0010011
[5,4,9,8,7,3,1,6,2] => 10111101 => 10111101 => 01000010
[3,4,10,9,8,7,6,1,5,2] => 001111101 => 101111100 => 010000011
[4,1,11,10,9,8,7,6,5,3,2] => 1011111111 => 1111111101 => 0000000010
[3,4,9,8,7,6,2,1,5] => 00111110 => 01111100 => 10000011
[3,2,10,9,8,7,6,5,1,4] => 101111110 => 011111101 => 100000010
[1,3,11,10,9,8,7,6,5,4,2] => 0011111111 => 1111111100 => 0000000011
[8,1,7,2,5,6,4,3] => 1010011 => 1100101 => 0011010
[8,1,3,5,2,7,6,4] => 1001011 => 1101001 => 0010110
[2,7,1,5,4,8,6,3] => 0101011 => 1101010 => 0010101
[8,6,2,4,3,7,5,1] => 1101011 => 1101011 => 0010100
[2,4,1,6,7,5,8,3] => 0100101 => 1010010 => 0101101
[8,1,4,5,6,3,7,2] => 1000101 => 1010001 => 0101110
[8,1,4,5,6,2,7,3] => 1000101 => 1010001 => 0101110
[8,1,4,7,6,2,5,3] => 1001101 => 1011001 => 0100110
[2,5,1,7,8,6,4,3] => 0100111 => 1110010 => 0001101
[3,5,6,2,8,7,4,1] => 0010111 => 1110100 => 0001011
[2,4,5,1,7,6,3,8] => 0010110 => 0110100 => 1001011
[7,3,1,5,6,4,2,8] => 1100110 => 0110011 => 1001100
[8,3,2,5,6,7,1,4] => 1100010 => 0100011 => 1011100
[8,4,5,3,7,6,2,1] => 1010111 => 1110101 => 0001010
[3,4,5,6,2,8,1,7] => 0001010 => 0101000 => 1010111
[3,7,4,2,8,5,1,6] => 0110110 => 0110110 => 1001001
[7,3,4,1,6,8,2,5] => 1010010 => 0100101 => 1011010
[2,6,3,1,4,7,5,8] => 0110010 => 0100110 => 1011001
[7,2,1,6,3,4,8,5] => 1101001 => 1001011 => 0110100
[7,3,4,1,6,5,8,2] => 1010101 => 1010101 => 0101010
[3,7,4,2,5,8,6,1] => 0110011 => 1100110 => 0011001
[2,3,5,1,4,8,7,6] => 0010011 => 1100100 => 0011011
[2,7,1,3,6,8,5,4] => 0100011 => 1100010 => 0011101
[2,7,1,3,8,4,6,5] => 0100101 => 1010010 => 0101101
[3,8,7,1,6,2,5,4] => 0110101 => 1010110 => 0101001
[3,8,7,1,4,5,2,6] => 0110010 => 0100110 => 1011001
[3,7,4,2,1,8,6,5] => 0111011 => 1101110 => 0010001
[4,8,5,7,2,6,3,1] => 0101011 => 1101010 => 0010101
[8,4,5,7,3,2,6,1] => 1001101 => 1011001 => 0100110
[8,3,7,2,4,1,5,6] => 1010100 => 0010101 => 1101010
[8,6,7,2,1,4,3,5] => 1011010 => 0101101 => 1010010
[8,3,7,5,1,2,6,4] => 1011001 => 1001101 => 0110010
[7,3,4,6,2,1,5,8] => 1001100 => 0011001 => 1100110
[3,7,4,6,1,5,2,8] => 0101010 => 0101010 => 1010101
[3,4,7,6,1,2,8,5] => 0011001 => 1001100 => 0110011
[4,5,8,7,6,1,3,2] => 0011101 => 1011100 => 0100011
[8,6,3,7,5,1,4,2] => 1101101 => 1011011 => 0100100
[8,7,3,5,6,1,4,2] => 1100101 => 1010011 => 0101100
[7,6,3,8,1,4,5,2] => 1101001 => 1001011 => 0110100
[8,5,2,7,6,1,3,4] => 1101100 => 0011011 => 1100100
[8,7,3,1,4,5,2,6] => 1110010 => 0100111 => 1011000
[8,4,2,5,1,6,7,3] => 1101001 => 1001011 => 0110100
[8,5,3,1,6,4,7,2] => 1110101 => 1010111 => 0101000
[8,7,3,1,4,5,6,2] => 1110001 => 1000111 => 0111000
[8,7,4,1,5,6,2,3] => 1110010 => 0100111 => 1011000
[8,6,4,1,7,5,2,3] => 1110110 => 0110111 => 1001000
[8,6,3,1,7,4,5,2] => 1110101 => 1010111 => 0101000
[8,5,3,1,6,7,4,2] => 1110011 => 1100111 => 0011000
[8,5,3,7,1,6,4,2] => 1101011 => 1101011 => 0010100
[7,6,3,8,1,4,2,5] => 1101010 => 0101011 => 1010100
[7,4,8,2,6,1,5,3] => 1010101 => 1010101 => 0101010
[6,4,7,3,1,5,2,8] => 1011010 => 0101101 => 1010010
[8,5,3,1,6,4,2,7] => 1110110 => 0110111 => 1001000
[8,7,4,1,5,2,3,6] => 1110100 => 0010111 => 1101000
[8,7,5,1,2,6,3,4] => 1110010 => 0100111 => 1011000
[8,6,4,1,2,7,5,3] => 1110011 => 1100111 => 0011000
[8,7,4,1,2,5,3,6] => 1110010 => 0100111 => 1011000
[8,7,5,1,2,3,6,4] => 1110001 => 1000111 => 0111000
[6,5,3,7,4,2,1,8] => 1101110 => 0111011 => 1000100
[1,6,3,8,4,2,5,7] => 0101100 => 0011010 => 1100101
[4,7,2,5,3,6,1,8] => 0101010 => 0101010 => 1010101
[1,8,3,4,5,2,6,7] => 0100100 => 0010010 => 1101101
[1,8,6,4,2,5,3,7] => 0111010 => 0101110 => 1010001
[8,2,6,4,1,5,7,3] => 1011001 => 1001101 => 0110010
[7,8,3,4,6,1,5,2] => 0100101 => 1010010 => 0101101
[4,8,7,5,3,1,6,2] => 0111101 => 1011110 => 0100001
[6,1,4,8,3,2,5,7] => 1001100 => 0011001 => 1100110
[4,1,8,5,3,2,6,7] => 1011100 => 0011101 => 1100010
[8,1,6,4,2,7,3,5] => 1011010 => 0101101 => 1010010
[3,1,7,4,2,5,8,6] => 1011001 => 1001101 => 0110010
[1,2,7,4,3,5,6,8] => 0011000 => 0001100 => 1110011
[6,1,8,5,2,4,3,7] => 1011010 => 0101101 => 1010010
[6,8,2,5,1,4,7,3] => 0101001 => 1001010 => 0110101
[4,5,2,1,6,8,7,3] => 0110011 => 1100110 => 0011001
[7,2,8,6,5,1,4,3] => 1011101 => 1011101 => 0100010
[7,4,8,6,1,5,3,2] => 1011011 => 1101101 => 0010010
[8,7,2,6,1,4,5,3] => 1101001 => 1001011 => 0110100
[1,7,8,6,2,4,3,5] => 0011010 => 0101100 => 1010011
[7,6,3,1,2,5,4,8] => 1110010 => 0100111 => 1011000
[8,5,3,1,2,4,7,6] => 1110001 => 1000111 => 0111000
[8,2,1,6,5,3,4,7] => 1101100 => 0011011 => 1100100
[3,8,1,5,6,2,4,7] => 0100100 => 0010010 => 1101101
[6,8,4,1,5,2,3,7] => 0110100 => 0010110 => 1101001
[3,2,8,1,6,4,5,7] => 1010100 => 0010101 => 1101010
[5,2,1,3,7,6,4,8] => 1100110 => 0110011 => 1001100
[5,4,1,2,8,3,7,6] => 1100101 => 1010011 => 0101100
[5,8,4,1,2,3,7,6] => 0110001 => 1000110 => 0111001
[7,1,2,5,3,4,6,8] => 1001000 => 0001001 => 1110110
[1,6,7,3,2,8,4,5] => 0011010 => 0101100 => 1010011
[1,8,6,3,2,7,4,5] => 0111010 => 0101110 => 1010001
[1,5,3,7,2,8,4,6] => 0101010 => 0101010 => 1010101
[1,4,6,2,8,5,3,7] => 0010110 => 0110100 => 1001011
[1,5,6,2,8,4,3,7] => 0010110 => 0110100 => 1001011
[2,4,6,3,1,7,5,8] => 0011010 => 0101100 => 1010011
[3,4,8,6,5,7,2,1] => 0011011 => 1101100 => 0010011
[1,2,5,7,4,3,6,8] => 0001100 => 0011000 => 1100111
[1,2,5,7,4,6,8,3] => 0001001 => 1001000 => 0110111
[3,5,8,6,1,7,2,4] => 0011010 => 0101100 => 1010011
[2,3,6,8,1,7,4,5] => 0001010 => 0101000 => 1010111
[2,3,7,1,8,6,4,5] => 0010110 => 0110100 => 1001011
[2,6,1,7,8,5,3,4] => 0100110 => 0110010 => 1001101
[2,4,8,5,6,7,1,3] => 0010010 => 0100100 => 1011011
[1,4,8,5,6,7,3,2] => 0010011 => 1100100 => 0011011
[4,8,3,1,6,5,7,2] => 0110101 => 1010110 => 0101001
[1,6,8,5,4,2,7,3] => 0011101 => 1011100 => 0100011
[6,5,8,4,2,1,7,3] => 1011101 => 1011101 => 0100010
[1,7,8,6,5,4,2,3] => 0011110 => 0111100 => 1000011
[6,8,7,4,5,1,3,2] => 0110101 => 1010110 => 0101001
[6,1,3,5,4,2,8,7] => 1001101 => 1011001 => 0100110
[3,6,4,2,5,1,8,7] => 0110101 => 1010110 => 0101001
[2,1,5,8,6,4,7,3] => 1001101 => 1011001 => 0100110
[4,2,8,5,6,3,7,1] => 1010101 => 1010101 => 0101010
[5,7,2,3,4,6,8,1] => 0100001 => 1000010 => 0111101
[1,8,7,3,2,5,6,4] => 0111001 => 1001110 => 0110001
[5,7,1,2,3,8,6,4] => 0100011 => 1100010 => 0011101
[7,8,6,2,4,1,5,3] => 0110101 => 1010110 => 0101001
[7,2,8,4,6,1,5,3] => 1010101 => 1010101 => 0101010
[7,4,6,2,8,1,5,3] => 1010101 => 1010101 => 0101010
[7,1,5,8,2,3,6,4] => 1001001 => 1001001 => 0110110
[7,6,4,8,2,1,5,3] => 1101101 => 1011011 => 0100100
[6,1,8,4,2,3,5,7] => 1011000 => 0001101 => 1110010
[7,3,6,2,1,8,5,4] => 1011011 => 1101101 => 0010010
[1,8,6,4,2,5,7,3] => 0111001 => 1001110 => 0110001
[5,6,2,1,8,4,7,3] => 0110101 => 1010110 => 0101001
[5,1,6,4,3,8,7,2] => 1011011 => 1101101 => 0010010
[5,4,6,8,1,3,7,2] => 1001001 => 1001001 => 0110110
[3,7,1,6,4,5,8,2] => 0101001 => 1001010 => 0110101
[3,5,2,1,4,6,7,8] => 0110000 => 0000110 => 1111001
[1,3,8,7,5,4,6,2] => 0011101 => 1011100 => 0100011
[9,3,4,2,5,6,7,8,1] => 10100001 => 10000101 => 01111010
[1,2,3,4,5,7,9,8,6] => 00000011 => 11000000 => 00111111
[1,2,3,4,6,7,9,8,5] => 00000011 => 11000000 => 00111111
[1,2,3,4,6,8,9,7,5] => 00000011 => 11000000 => 00111111
[1,2,3,4,6,9,8,7,5] => 00000111 => 11100000 => 00011111
[1,2,3,5,6,7,9,8,4] => 00000011 => 11000000 => 00111111
[1,2,3,5,6,8,9,7,4] => 00000011 => 11000000 => 00111111
[1,2,3,5,6,9,8,7,4] => 00000111 => 11100000 => 00011111
[1,2,3,5,7,9,8,6,4] => 00000111 => 11100000 => 00011111
[1,2,3,5,9,8,7,6,4] => 00001111 => 11110000 => 00001111
[1,2,4,5,7,8,9,6,3] => 00000011 => 11000000 => 00111111
[1,2,4,5,7,9,8,6,3] => 00000111 => 11100000 => 00011111
[1,2,4,5,9,8,7,6,3] => 00001111 => 11110000 => 00001111
[1,2,4,6,9,8,7,5,3] => 00001111 => 11110000 => 00001111
[1,2,4,9,8,7,6,5,3] => 00011111 => 11111000 => 00000111
[1,3,5,7,9,8,6,4,2] => 00001111 => 11110000 => 00001111
[1,3,5,9,8,7,6,4,2] => 00011111 => 11111000 => 00000111
[1,2,3,4,5,6,8,10,9,7] => 000000011 => 110000000 => 001111111
[1,2,3,4,5,7,8,10,9,6] => 000000011 => 110000000 => 001111111
[1,2,3,4,5,7,9,10,8,6] => 000000011 => 110000000 => 001111111
[1,2,3,4,5,7,10,9,8,6] => 000000111 => 111000000 => 000111111
[1,2,3,4,6,7,8,10,9,5] => 000000011 => 110000000 => 001111111
[1,2,3,4,6,7,9,10,8,5] => 000000011 => 110000000 => 001111111
[1,2,3,4,6,7,10,9,8,5] => 000000111 => 111000000 => 000111111
[1,2,3,4,6,8,10,9,7,5] => 000000111 => 111000000 => 000111111
[1,2,3,4,6,10,9,8,7,5] => 000001111 => 111100000 => 000011111
[1,2,3,5,6,7,9,10,8,4] => 000000011 => 110000000 => 001111111
[1,2,3,5,6,7,10,9,8,4] => 000000111 => 111000000 => 000111111
[1,2,3,5,6,8,9,10,7,4] => 000000011 => 110000000 => 001111111
[1,2,3,5,6,8,10,9,7,4] => 000000111 => 111000000 => 000111111
[1,2,3,5,6,10,9,8,7,4] => 000001111 => 111100000 => 000011111
[1,2,3,5,7,9,10,8,6,4] => 000000111 => 111000000 => 000111111
[1,2,3,5,7,10,9,8,6,4] => 000001111 => 111100000 => 000011111
[1,2,3,5,10,9,8,7,6,4] => 000011111 => 111110000 => 000001111
[1,2,4,5,7,8,10,9,6,3] => 000000111 => 111000000 => 000111111
[1,2,4,5,7,9,10,8,6,3] => 000000111 => 111000000 => 000111111
[1,2,4,5,7,10,9,8,6,3] => 000001111 => 111100000 => 000011111
[1,2,4,5,10,9,8,7,6,3] => 000011111 => 111110000 => 000001111
[1,2,4,6,10,9,8,7,5,3] => 000011111 => 111110000 => 000001111
[1,2,4,10,9,8,7,6,5,3] => 000111111 => 111111000 => 000000111
[1,3,5,7,9,10,8,6,4,2] => 000001111 => 111100000 => 000011111
[1,3,5,7,10,9,8,6,4,2] => 000011111 => 111110000 => 000001111
[1,3,5,10,9,8,7,6,4,2] => 000111111 => 111111000 => 000000111
[1,3,10,9,8,7,6,5,4,2] => 001111111 => 111111100 => 000000011
[6,7,3,4,8,5,1,2] => 0100110 => 0110010 => 1001101
[7,4,1,8,2,5,6,3] => 1101001 => 1001011 => 0110100
[3,1,7,2,5,6,8,4] => 1010001 => 1000101 => 0111010
[4,1,5,7,3,2,8,6] => 1001101 => 1011001 => 0100110
[6,4,1,7,2,8,5,3] => 1101011 => 1101011 => 0010100
[7,3,1,6,2,8,5,4] => 1101011 => 1101011 => 0010100
[4,8,2,5,3,1,6,7] => 0101100 => 0011010 => 1100101
[5,1,3,4,8,2,6,7] => 1000100 => 0010001 => 1101110
[6,1,4,5,7,8,2,3] => 1000010 => 0100001 => 1011110
[6,3,4,7,1,8,5,2] => 1001011 => 1101001 => 0010110
[7,1,3,4,5,6,8,2] => 1000001 => 1000001 => 0111110
[8,5,2,7,6,3,1,4] => 1101110 => 0111011 => 1000100
[1,8,3,5,6,2,7,4] => 0100101 => 1010010 => 0101101
[8,3,2,5,6,1,7,4] => 1100101 => 1010011 => 0101100
[4,2,5,1,6,8,7,3] => 1010011 => 1100101 => 0011010
[5,4,2,7,8,6,1,3] => 1100110 => 0110011 => 1001100
[6,8,7,2,1,3,4,5] => 0111000 => 0001110 => 1110001
[3,7,6,8,5,2,4,1] => 0101101 => 1011010 => 0100101
[1,7,8,5,2,6,3,4] => 0011010 => 0101100 => 1010011
[7,6,1,2,5,3,8,4] => 1100101 => 1010011 => 0101100
[5,8,7,2,6,3,4,1] => 0110101 => 1010110 => 0101001
[7,6,2,4,8,1,5,3] => 1100101 => 1010011 => 0101100
[1,5,7,3,8,6,2,4] => 0010110 => 0110100 => 1001011
[6,7,5,1,8,2,3,4] => 0110100 => 0010110 => 1101001
[7,6,1,2,4,3,8,5] => 1100101 => 1010011 => 0101100
[6,7,2,1,5,3,8,4] => 0110101 => 1010110 => 0101001
[4,3,2,8,7,1,6,5] => 1101101 => 1011011 => 0100100
[4,8,3,1,7,6,5,2] => 0110111 => 1110110 => 0001001
[5,3,8,7,1,6,4,2] => 1011011 => 1101101 => 0010010
[5,8,7,3,1,6,4,2] => 0111011 => 1101110 => 0010001
[5,3,8,2,1,7,6,4] => 1011011 => 1101101 => 0010010
[3,8,7,2,6,5,1,4] => 0110110 => 0110110 => 1001001
[7,4,1,8,6,5,3,2] => 1101111 => 1111011 => 0000100
[5,4,2,8,1,7,6,3] => 1101011 => 1101011 => 0010100
[5,8,4,2,1,7,6,3] => 0111011 => 1101110 => 0010001
[5,8,4,7,1,6,3,2] => 0101011 => 1101010 => 0010101
[5,4,8,3,1,7,6,2] => 1011011 => 1101101 => 0010010
[8,5,6,1,4,7,2,3] => 1010010 => 0100101 => 1011010
[6,7,4,1,2,5,8,3] => 0110001 => 1000110 => 0111001
[1,6,7,4,2,5,8,3] => 0011001 => 1001100 => 0110011
[3,6,7,5,8,1,2,4] => 0010100 => 0010100 => 1101011
[1,6,7,5,8,3,2,4] => 0010110 => 0110100 => 1001011
[3,8,6,5,7,4,1,2] => 0110110 => 0110110 => 1001001
[8,1,6,5,7,4,3,2] => 1010111 => 1110101 => 0001010
[5,2,1,6,8,4,7,3] => 1100101 => 1010011 => 0101100
[6,5,8,7,4,2,3,1] => 1011101 => 1011101 => 0100010
[6,8,5,7,4,2,1,3] => 0101110 => 0111010 => 1000101
[3,6,7,5,8,2,1,4] => 0010110 => 0110100 => 1001011
[4,7,5,3,8,1,2,6] => 0110100 => 0010110 => 1101001
[4,7,5,3,6,1,2,8] => 0110100 => 0010110 => 1101001
[4,7,5,3,1,6,2,8] => 0111010 => 0101110 => 1010001
[2,7,5,3,6,4,8,1] => 0110101 => 1010110 => 0101001
[2,7,5,6,3,8,4,1] => 0101011 => 1101010 => 0010101
[2,7,5,3,6,8,1,4] => 0110010 => 0100110 => 1011001
[8,7,5,3,1,4,6,2] => 1111001 => 1001111 => 0110000
[2,7,5,3,1,4,8,6] => 0111001 => 1001110 => 0110001
[2,7,5,3,4,8,6,1] => 0110011 => 1100110 => 0011001
[5,7,6,2,8,3,1,4] => 0110110 => 0110110 => 1001001
[5,1,6,3,2,4,8,7] => 1011001 => 1001101 => 0110010
[5,7,6,1,8,3,2,4] => 0110110 => 0110110 => 1001001
[3,8,7,2,1,5,4,6] => 0111010 => 0101110 => 1010001
[6,1,7,2,8,4,3,5] => 1010110 => 0110101 => 1001010
[4,8,5,6,7,3,1,2] => 0100110 => 0110010 => 1001101
[3,7,6,2,8,5,1,4] => 0110110 => 0110110 => 1001001
[6,1,7,3,8,5,2,4] => 1010110 => 0110101 => 1001010
[7,1,8,3,2,5,4,6] => 1011010 => 0101101 => 1010010
[2,7,8,3,1,5,4,6] => 0011010 => 0101100 => 1010011
[4,8,5,6,7,2,1,3] => 0100110 => 0110010 => 1001101
[5,8,6,2,7,4,1,3] => 0110110 => 0110110 => 1001001
[2,4,6,7,8,5,1,3] => 0000110 => 0110000 => 1001111
[2,4,6,7,8,3,1,5] => 0000110 => 0110000 => 1001111
[4,7,6,2,8,5,1,3] => 0110110 => 0110110 => 1001001
[5,8,7,3,2,4,1,6] => 0111010 => 0101110 => 1010001
[4,6,5,8,7,3,1,2] => 0101110 => 0111010 => 1000101
[8,3,1,7,2,6,4,5] => 1101010 => 0101011 => 1010100
[4,5,1,2,8,7,3,6] => 0100110 => 0110010 => 1001101
[5,6,1,2,8,3,7,4] => 0100101 => 1010010 => 0101101
[5,8,7,1,6,2,4,3] => 0110101 => 1010110 => 0101001
[8,4,5,1,7,6,2,3] => 1010110 => 0110101 => 1001010
[6,3,1,4,8,2,7,5] => 1100101 => 1010011 => 0101100
[8,5,6,1,7,2,4,3] => 1010101 => 1010101 => 0101010
[7,5,6,1,3,8,4,2] => 1010011 => 1100101 => 0011010
[5,7,6,1,3,8,4,2] => 0110011 => 1100110 => 0011001
[6,7,1,4,2,8,5,3] => 0101011 => 1101010 => 0010101
[2,1,6,4,8,3,7,5] => 1010101 => 1010101 => 0101010
[1,5,7,8,4,2,3,6] => 0001100 => 0011000 => 1100111
[1,3,6,4,2,5,7,8] => 0011000 => 0001100 => 1110011
[1,4,5,7,8,3,6,2] => 0000101 => 1010000 => 0101111
[1,5,7,8,3,6,2,4] => 0001010 => 0101000 => 1010111
[1,5,7,8,2,4,3,6] => 0001010 => 0101000 => 1010111
[6,8,4,7,3,2,1,5] => 0101110 => 0111010 => 1000101
[6,8,5,4,2,7,1,3] => 0111010 => 0101110 => 1010001
[1,8,4,6,3,2,7,5] => 0101101 => 1011010 => 0100101
[6,4,8,5,3,2,1,7] => 1011110 => 0111101 => 1000010
[3,5,6,1,4,2,7,8] => 0010100 => 0010100 => 1101011
[1,6,3,8,4,2,7,5] => 0101101 => 1011010 => 0100101
[7,1,3,2,4,6,8,5] => 1010001 => 1000101 => 0111010
[2,6,5,7,8,3,1,4] => 0100110 => 0110010 => 1001101
[4,1,8,2,6,7,5,3] => 1010011 => 1100101 => 0011010
[3,6,7,8,2,1,4,5] => 0001100 => 0011000 => 1100111
[2,5,7,1,6,3,4,8] => 0010100 => 0010100 => 1101011
[4,2,8,3,6,5,1,7] => 1010110 => 0110101 => 1001010
[6,3,8,7,2,4,5,1] => 1011001 => 1001101 => 0110010
[7,6,1,8,2,4,5,3] => 1101001 => 1001011 => 0110100
[2,5,6,3,4,8,1,7] => 0010010 => 0100100 => 1011011
[5,2,4,7,8,6,1,3] => 1000110 => 0110001 => 1001110
[7,2,1,3,4,8,5,6] => 1100010 => 0100011 => 1011100
[2,4,5,7,1,8,6,3] => 0001011 => 1101000 => 0010111
[8,1,6,2,3,4,7,5] => 1010001 => 1000101 => 0111010
[6,1,4,2,5,7,8,3] => 1010001 => 1000101 => 0111010
[6,5,1,2,3,7,8,9,4] => 11000001 => 10000011 => 01111100
[1,6,7,2,4,3,5,8] => 0010100 => 0010100 => 1101011
[1,8,3,4,5,2,7,6] => 0100101 => 1010010 => 0101101
[1,8,3,6,4,7,2,5] => 0101010 => 0101010 => 1010101
[1,4,7,2,5,6,3,8] => 0010010 => 0100100 => 1011011
[7,3,5,8,2,6,1,4] => 1001010 => 0101001 => 1010110
[3,4,8,6,7,2,1,5] => 0010110 => 0110100 => 1001011
[3,4,8,2,5,1,7,6] => 0010101 => 1010100 => 0101011
[1,7,2,5,8,4,3,6] => 0100110 => 0110010 => 1001101
[1,4,6,7,8,3,5,2] => 0000101 => 1010000 => 0101111
[4,1,5,3,6,8,7,2] => 1010011 => 1100101 => 0011010
[5,8,7,4,6,2,3,1] => 0110101 => 1010110 => 0101001
[6,8,7,1,5,3,4,2] => 0110101 => 1010110 => 0101001
[2,7,8,4,6,5,1,3] => 0010110 => 0110100 => 1001011
[3,7,8,5,4,6,2,1] => 0011011 => 1101100 => 0010011
[4,8,7,5,2,6,3,1] => 0111011 => 1101110 => 0010001
[2,8,7,4,6,1,5,3] => 0110101 => 1010110 => 0101001
[4,8,7,2,5,6,3,1] => 0110011 => 1100110 => 0011001
[4,7,8,5,3,6,2,1] => 0011011 => 1101100 => 0010011
[6,4,8,1,5,7,3,2] => 1010011 => 1100101 => 0011010
[1,6,8,3,5,2,7,4] => 0010101 => 1010100 => 0101011
[4,5,8,6,3,7,2,1] => 0011011 => 1101100 => 0010011
[2,6,7,8,4,5,1,3] => 0001010 => 0101000 => 1010111
[6,1,2,8,4,7,5,3] => 1001011 => 1101001 => 0010110
[4,7,1,8,5,6,3,2] => 0101011 => 1101010 => 0010101
[5,7,1,8,2,6,4,3] => 0101011 => 1101010 => 0010101
[7,2,1,8,6,4,5,3] => 1101101 => 1011011 => 0100100
[5,3,8,4,7,6,2,1] => 1010111 => 1110101 => 0001010
[2,5,8,1,7,4,6,3] => 0010101 => 1010100 => 0101011
[4,5,8,3,7,6,2,1] => 0010111 => 1110100 => 0001011
[1,7,2,8,6,4,5,3] => 0101101 => 1011010 => 0100101
[3,5,7,8,1,6,2,4] => 0001010 => 0101000 => 1010111
[2,4,7,8,5,6,1,3] => 0001010 => 0101000 => 1010111
[4,1,7,8,5,6,3,2] => 1001011 => 1101001 => 0010110
[3,5,8,6,4,7,2,1] => 0011011 => 1101100 => 0010011
[2,4,8,5,7,6,1,3] => 0010110 => 0110100 => 1001011
[2,6,3,8,5,1,7,4] => 0101101 => 1011010 => 0100101
[4,1,5,8,6,7,3,2] => 1001011 => 1101001 => 0010110
[5,3,4,7,6,1,2,8] => 1001100 => 0011001 => 1100110
[6,2,1,4,8,3,7,5] => 1100101 => 1010011 => 0101100
[2,8,5,4,1,3,7,6] => 0111001 => 1001110 => 0110001
[4,2,8,7,1,3,5,6] => 1011000 => 0001101 => 1110010
[5,4,6,3,1,7,2,8] => 1011010 => 0101101 => 1010010
[4,3,6,5,1,8,2,7] => 1011010 => 0101101 => 1010010
[1,5,6,8,7,3,2,4] => 0001110 => 0111000 => 1000111
[1,4,8,3,6,5,2,7] => 0010110 => 0110100 => 1001011
[1,3,8,6,4,7,2,5] => 0011010 => 0101100 => 1010011
[1,2,8,6,4,3,7,5] => 0011101 => 1011100 => 0100011
[6,5,1,8,7,3,2,4] => 1101110 => 0111011 => 1000100
[4,1,7,6,8,3,2,5] => 1010110 => 0110101 => 1001010
[1,8,4,7,6,2,3,5] => 0101100 => 0011010 => 1100101
[8,3,2,6,1,7,4,5] => 1101010 => 0101011 => 1010100
[1,6,3,7,4,5,2,8] => 0101010 => 0101010 => 1010101
[2,6,3,7,4,8,5,1] => 0101011 => 1101010 => 0010101
[4,6,1,7,8,2,5,3] => 0100101 => 1010010 => 0101101
[7,2,3,8,4,5,6,1] => 1001001 => 1001001 => 0110110
[5,2,6,7,8,3,4,1] => 1000101 => 1010001 => 0101110
[6,5,8,1,2,7,4,3] => 1010011 => 1100101 => 0011010
[6,5,1,8,7,2,4,3] => 1101101 => 1011011 => 0100100
[5,8,4,3,7,2,1,6] => 0110110 => 0110110 => 1001001
[6,1,2,8,7,3,4,5] => 1001100 => 0011001 => 1100110
[7,3,2,8,4,6,1,5] => 1101010 => 0101011 => 1010100
[4,5,1,7,6,2,8,3] => 0101101 => 1011010 => 0100101
[1,5,2,7,6,3,4,8] => 0101100 => 0011010 => 1100101
[7,2,6,8,3,5,4,1] => 1001011 => 1101001 => 0010110
[4,8,1,7,6,2,5,3] => 0101101 => 1011010 => 0100101
[7,2,8,6,5,3,4,1] => 1011101 => 1011101 => 0100010
[4,1,8,7,6,5,2,3] => 1011110 => 0111101 => 1000010
[7,6,5,2,8,4,3,1] => 1110111 => 1110111 => 0001000
[6,5,1,8,7,4,3,2] => 1101111 => 1111011 => 0000100
[7,5,1,8,6,4,3,2] => 1101111 => 1111011 => 0000100
[8,5,1,7,6,4,3,2] => 1101111 => 1111011 => 0000100
[8,5,3,7,6,1,4,2] => 1101101 => 1011011 => 0100100
[3,8,7,6,1,5,4,2] => 0111011 => 1101110 => 0010001
[10,9,1,2,3,4,5,6,7,11,8] => 1100000001 => 1000000011 => 0111111100
[9,1,8,2,3,4,5,6,10,7] => 101000001 => 100000101 => 011111010
[9,7,1,2,3,4,5,6,10,8] => 110000001 => 100000011 => 011111100
[2,10,1,9,3,4,5,6,7,8] => 010100000 => 000001010 => 111110101
[2,10,8,1,3,4,5,6,7,9] => 011000000 => 000000110 => 111111001
[2,11,10,1,3,4,5,6,7,8,9] => 0110000000 => 0000000110 => 1111111001
[8,3,7,5,4,1,6,2] => 1011101 => 1011101 => 0100010
[4,5,3,1,8,7,2,6] => 0110110 => 0110110 => 1001001
[3,4,8,1,5,2,6,7] => 0010100 => 0010100 => 1101011
[8,6,5,7,1,3,2,4] => 1101010 => 0101011 => 1010100
[1,5,8,6,2,7,4,3] => 0011011 => 1101100 => 0010011
[3,1,8,5,7,2,6,4] => 1010101 => 1010101 => 0101010
[6,8,5,3,4,2,1,7] => 0110110 => 0110110 => 1001001
[8,5,2,6,4,3,1,7] => 1101110 => 0111011 => 1000100
[8,6,4,5,2,1,7,3] => 1101101 => 1011011 => 0100100
[8,5,2,6,1,4,7,3] => 1101001 => 1001011 => 0110100
[2,7,5,8,1,4,6,3] => 0101001 => 1001010 => 0110101
[3,2,6,7,1,8,5,4] => 1001011 => 1101001 => 0010110
[3,4,6,7,8,2,1,5] => 0000110 => 0110000 => 1001111
[3,2,6,7,8,4,1,5] => 1000110 => 0110001 => 1001110
[6,2,7,4,8,5,1,3] => 1010110 => 0110101 => 1001010
[6,7,1,3,8,5,4,2] => 0100111 => 1110010 => 0001101
[6,7,1,8,5,2,4,3] => 0101101 => 1011010 => 0100101
[1,2,6,7,8,5,3,4] => 0000110 => 0110000 => 1001111
[1,6,7,4,8,3,2,5] => 0010110 => 0110100 => 1001011
[1,4,6,7,8,3,2,5] => 0000110 => 0110000 => 1001111
[6,1,2,4,5,3,7,8] => 1000100 => 0010001 => 1101110
[8,1,7,3,2,6,4,5] => 1011010 => 0101101 => 1010010
[4,1,3,2,5,6,7,8,9] => 10100000 => 00000101 => 11111010
[6,1,2,4,5,3,7,8,9] => 10001000 => 00010001 => 11101110
[5,4,1,2,3,6,7,8,9] => 11000000 => 00000011 => 11111100
[8,1,2,3,5,6,7,4,9] => 10000010 => 01000001 => 10111110
[4,1,6,3,5,2,7,8,9] => 10101000 => 00010101 => 11101010
[8,1,7,3,2,6,4,5,9] => 10110100 => 00101101 => 11010010
[5,7,1,6,2,4,3,8,9] => 01010100 => 00101010 => 11010101
[7,3,4,6,1,2,5,8,9] => 10010000 => 00001001 => 11110110
[6,1,2,9,4,5,7,8,3] => 10010001 => 10001001 => 01110110
[4,1,6,3,8,5,7,2,9] => 10101010 => 01010101 => 10101010
[6,8,5,1,7,2,3,4,9] => 01101000 => 00010110 => 11101001
[8,3,4,5,7,1,2,6,9] => 10001000 => 00010001 => 11101110
[5,7,1,9,2,8,4,6,3] => 01010101 => 10101010 => 01010101
[7,9,4,6,1,8,2,3,5] => 01010100 => 00101010 => 11010101
[4,1,3,2,5,6,7,8,9,10] => 101000000 => 000000101 => 111111010
[6,1,2,4,5,3,7,8,9,10] => 100010000 => 000010001 => 111101110
[5,4,1,2,3,6,7,8,9,10] => 110000000 => 000000011 => 111111100
[8,1,2,3,5,6,7,4,9,10] => 100000100 => 001000001 => 110111110
[4,1,6,3,5,2,7,8,9,10] => 101010000 => 000010101 => 111101010
[8,1,7,3,2,6,4,5,9,10] => 101101000 => 000101101 => 111010010
[5,7,1,6,2,4,3,8,9,10] => 010101000 => 000101010 => 111010101
[7,3,4,6,1,2,5,8,9,10] => 100100000 => 000001001 => 111110110
[6,1,2,9,4,5,7,8,3,10] => 100100010 => 010001001 => 101110110
[4,1,6,3,8,5,7,2,9,10] => 101010100 => 001010101 => 110101010
[6,8,5,1,7,2,3,4,9,10] => 011010000 => 000010110 => 111101001
[8,3,4,5,7,1,2,6,9,10] => 100010000 => 000010001 => 111101110
[10,1,6,3,9,5,2,8,4,7] => 101011010 => 010110101 => 101001010
[5,7,1,9,2,8,4,6,3,10] => 010101010 => 010101010 => 101010101
[7,9,4,6,1,8,2,3,5,10] => 010101000 => 000101010 => 111010101
[9,3,4,5,6,8,1,2,7,10] => 100001000 => 000100001 => 111011110
[4,1,6,3,8,5,10,7,9,2] => 101010101 => 101010101 => 010101010
[6,8,10,1,7,2,9,3,5,4] => 001010101 => 101010100 => 010101011
[8,10,4,5,7,1,9,2,3,6] => 010010100 => 001010010 => 110101101
[10,3,4,5,6,7,9,1,2,8] => 100000100 => 001000001 => 110111110
[8,7,2,1,5,4,6,3] => 1110101 => 1010111 => 0101000
[2,7,4,8,6,5,3,1] => 0101111 => 1111010 => 0000101
[7,6,5,2,4,1,8,3] => 1110101 => 1010111 => 0101000
[7,6,4,3,1,5,8,2] => 1111001 => 1001111 => 0110000
[6,1,8,7,2,3,5,4] => 1011001 => 1001101 => 0110010
[8,6,1,2,7,3,4,5] => 1100100 => 0010011 => 1101100
[3,6,8,2,7,1,5,4] => 0010101 => 1010100 => 0101011
[2,8,6,1,4,5,7,3] => 0110001 => 1000110 => 0111001
[6,8,7,2,5,4,1,3] => 0110110 => 0110110 => 1001001
[3,5,7,9,1,2,4,6,8,10] => 000100000 => 000001000 => 111110111
[4,1,2,3,5,6,7,8,9,10] => 100000000 => 000000001 => 111111110
[5,1,2,3,4,6,7,8,9,10] => 100000000 => 000000001 => 111111110
[8,1,2,3,4,5,6,7,9,10] => 100000000 => 000000001 => 111111110
[7,1,2,3,4,5,6,8,9,10] => 100000000 => 000000001 => 111111110
[6,1,2,3,4,5,7,8,9,10] => 100000000 => 000000001 => 111111110
[3,1,2,4,5,6,7,8,9,10,11,12] => 10000000000 => 00000000001 => 11111111110
[3,2,6,4,8,7,5,1] => 1010111 => 1110101 => 0001010
[4,7,2,8,6,5,1,3] => 0101110 => 0111010 => 1000101
[4,7,1,8,6,5,3,2] => 0101111 => 1111010 => 0000101
[2,7,4,8,3,6,1,5] => 0101010 => 0101010 => 1010101
[4,7,3,8,6,1,5,2] => 0101101 => 1011010 => 0100101
[4,3,6,8,7,2,5,1] => 1001101 => 1011001 => 0100110
[4,3,8,2,5,7,6,1] => 1010011 => 1100101 => 0011010
[4,1,2,6,8,7,5,3] => 1000111 => 1110001 => 0001110
[3,1,6,4,8,7,2,5] => 1010110 => 0110101 => 1001010
[4,1,6,8,7,5,2,3] => 1001110 => 0111001 => 1000110
[3,8,1,4,5,7,2,6] => 0100010 => 0100010 => 1011101
[3,8,1,4,2,5,7,6] => 0101001 => 1001010 => 0110101
[4,1,8,3,5,2,7,6] => 1010101 => 1010101 => 0101010
[3,8,1,2,5,4,7,6] => 0100101 => 1010010 => 0101101
[4,2,3,6,8,7,1,5] => 1000110 => 0110001 => 1001110
[4,2,8,3,5,1,7,6] => 1010101 => 1010101 => 0101010
[4,2,8,3,5,7,6,1] => 1010011 => 1100101 => 0011010
[3,8,2,4,5,7,6,1] => 0100011 => 1100010 => 0011101
[3,8,2,5,1,4,7,6] => 0101001 => 1001010 => 0110101
[4,2,8,5,7,1,3,6] => 1010100 => 0010101 => 1101010
[3,8,1,5,2,4,7,6] => 0101001 => 1001010 => 0110101
[7,5,6,4,1,3,2,8] => 1011010 => 0101101 => 1010010
[7,8,6,4,1,3,2,5] => 0111010 => 0101110 => 1010001
[7,1,4,2,5,6,3,8] => 1010010 => 0100101 => 1011010
[7,3,2,1,4,6,5,8] => 1110010 => 0100111 => 1011000
[7,6,1,4,3,2,5,8] => 1101100 => 0011011 => 1100100
[7,4,1,3,5,6,2,8] => 1100010 => 0100011 => 1011100
[2,7,1,3,5,6,8,4] => 0100001 => 1000010 => 0111101
[3,6,2,1,5,8,7,4] => 0110011 => 1100110 => 0011001
[2,3,6,1,5,8,7,4] => 0010011 => 1100100 => 0011011
[3,4,7,1,5,6,8,2] => 0010001 => 1000100 => 0111011
[3,6,7,4,1,2,8,5] => 0011001 => 1001100 => 0110011
[4,3,2,7,1,6,8,5] => 1101001 => 1001011 => 0110100
[7,3,2,8,1,6,4,5] => 1101010 => 0101011 => 1010100
[7,4,8,1,5,6,3,2] => 1010011 => 1100101 => 0011010
[2,6,8,1,5,3,7,4] => 0010101 => 1010100 => 0101011
[6,8,2,1,5,3,7,4] => 0110101 => 1010110 => 0101001
[4,8,2,5,3,6,7,1] => 0101001 => 1001010 => 0110101
[4,5,8,2,3,6,7,1] => 0010001 => 1000100 => 0111011
[2,4,8,5,3,6,7,1] => 0011001 => 1001100 => 0110011
[5,3,2,6,4,8,7,1] => 1101011 => 1101011 => 0010100
[2,4,5,3,8,6,7,1] => 0010101 => 1010100 => 0101011
[4,3,5,2,8,6,7,1] => 1010101 => 1010101 => 0101010
[4,8,5,3,2,6,7,1] => 0111001 => 1001110 => 0110001
[3,5,4,2,8,6,7,1] => 0110101 => 1010110 => 0101001
[4,1,2,7,5,6,8,3] => 1001001 => 1001001 => 0110110
[5,6,7,4,2,8,3,1] => 0011011 => 1101100 => 0010011
[2,5,7,4,6,8,3,1] => 0010011 => 1100100 => 0011011
[7,5,2,4,3,8,6,1] => 1101011 => 1101011 => 0010100
[6,8,1,2,5,4,7,3] => 0100101 => 1010010 => 0101101
[6,4,1,8,5,2,7,3] => 1101101 => 1011011 => 0100100
[2,6,1,8,5,4,7,3] => 0101101 => 1011010 => 0100101
[7,1,2,8,5,6,4,3] => 1001011 => 1101001 => 0010110
[4,3,2,6,8,5,7,1] => 1100101 => 1010011 => 0101100
[3,7,6,4,8,5,2,1] => 0110111 => 1110110 => 0001001
[3,1,6,8,5,4,7,2] => 1001101 => 1011001 => 0100110
[2,3,5,8,4,6,7,1] => 0001001 => 1001000 => 0110111
[3,5,2,8,4,6,7,1] => 0101001 => 1001010 => 0110101
[3,4,5,8,2,6,7,1] => 0001001 => 1001000 => 0110111
[5,4,2,8,3,6,7,1] => 1101001 => 1001011 => 0110100
[5,3,4,8,2,6,7,1] => 1001001 => 1001001 => 0110110
[2,5,4,8,3,6,7,1] => 0101001 => 1001010 => 0110101
[6,3,2,5,8,4,7,1] => 1100101 => 1010011 => 0101100
[6,1,8,3,5,4,7,2] => 1010101 => 1010101 => 0101010
[5,4,8,3,2,6,7,1] => 1011001 => 1001101 => 0110010
[5,8,2,3,4,6,7,1] => 0100001 => 1000010 => 0111101
[6,2,1,7,8,5,4,3] => 1100111 => 1110011 => 0001100
[7,4,6,8,3,2,5,1] => 1001101 => 1011001 => 0100110
[3,4,5,2,7,1,6,8] => 0010100 => 0010100 => 1101011
[7,5,6,1,2,3,8,4] => 1010001 => 1000101 => 0111010
[1,5,7,6,3,2,8,4] => 0011101 => 1011100 => 0100011
[8,4,6,7,3,2,5,1] => 1001101 => 1011001 => 0100110
[8,4,6,2,3,1,5,7] => 1010100 => 0010101 => 1101010
[7,5,2,1,4,3,8,6] => 1110101 => 1010111 => 0101000
[3,1,7,8,5,4,2,6] => 1001110 => 0111001 => 1000110
[3,4,5,2,1,8,6,7] => 0011010 => 0101100 => 1010011
[7,6,4,8,3,1,2,5] => 1101100 => 0011011 => 1100100
[7,4,8,5,6,1,2,3] => 1010100 => 0010101 => 1101010
[6,2,8,5,1,3,4,7] => 1011000 => 0001101 => 1110010
[3,2,7,8,6,1,4,5] => 1001100 => 0011001 => 1100110
[6,8,2,5,1,3,7,4] => 0101001 => 1001010 => 0110101
[6,7,4,2,1,5,3,8] => 0111010 => 0101110 => 1010001
[5,7,4,1,3,6,2,8] => 0110010 => 0100110 => 1011001
[4,2,7,5,1,8,3,6] => 1011010 => 0101101 => 1010010
[4,1,6,5,3,8,2,7] => 1011010 => 0101101 => 1010010
[1,5,4,6,3,8,2,7] => 0101010 => 0101010 => 1010101
[1,8,6,4,7,3,2,5] => 0110110 => 0110110 => 1001001
[4,7,1,8,6,3,5,2] => 0101101 => 1011010 => 0100101
[5,4,8,1,7,3,6,2] => 1010101 => 1010101 => 0101010
[4,3,8,6,2,1,7,5] => 1011101 => 1011101 => 0100010
[8,3,6,2,4,1,7,5] => 1010101 => 1010101 => 0101010
[7,8,3,2,4,6,5,1] => 0110011 => 1100110 => 0011001
[7,2,8,5,3,1,6,4] => 1011101 => 1011101 => 0100010
[2,5,4,8,7,3,6,1] => 0101101 => 1011010 => 0100101
[6,4,2,8,7,3,1,5] => 1101110 => 0111011 => 1000100
[3,6,8,1,7,4,2,5] => 0010110 => 0110100 => 1001011
[7,8,6,3,1,4,5,2] => 0111001 => 1001110 => 0110001
[3,8,6,1,7,5,2,4] => 0110110 => 0110110 => 1001001
[2,7,5,4,8,3,1,6] => 0110110 => 0110110 => 1001001
[6,8,7,5,2,1,3,4] => 0111100 => 0011110 => 1100001
[7,6,2,8,5,1,3,4] => 1101100 => 0011011 => 1100100
[1,5,7,6,2,8,4,3] => 0011011 => 1101100 => 0010011
[1,6,5,2,7,8,4,3] => 0110011 => 1100110 => 0011001
[4,7,8,5,6,2,3,1] => 0010101 => 1010100 => 0101011
[4,7,8,1,2,5,6,3] => 0010001 => 1000100 => 0111011
[8,6,4,1,2,5,7,3] => 1110001 => 1000111 => 0111000
[6,1,4,7,2,5,8,3] => 1001001 => 1001001 => 0110110
[5,6,3,2,7,4,1,8] => 0110110 => 0110110 => 1001001
[2,6,4,3,7,5,8,1] => 0110101 => 1010110 => 0101001
[7,2,3,6,1,8,4,5] => 1001010 => 0101001 => 1010110
[3,4,6,5,7,1,2,8] => 0010100 => 0010100 => 1101011
[7,6,2,3,5,4,8,1] => 1100101 => 1010011 => 0101100
[8,5,2,4,3,6,1,7] => 1101010 => 0101011 => 1010100
[8,5,7,2,4,1,6,3] => 1010101 => 1010101 => 0101010
[2,6,7,5,8,1,4,3] => 0010101 => 1010100 => 0101011
[7,4,8,2,1,5,6,3] => 1011001 => 1001101 => 0110010
[2,3,6,7,8,5,1,4] => 0000110 => 0110000 => 1001111
[8,3,7,1,6,4,2,5] => 1010110 => 0110101 => 1001010
[8,2,1,7,6,5,3,4] => 1101110 => 0111011 => 1000100
[6,5,1,2,8,3,4,7] => 1100100 => 0010011 => 1101100
[5,6,8,1,3,7,2,4] => 0010010 => 0100100 => 1011011
[1,6,8,5,3,2,4,7] => 0011100 => 0011100 => 1100011
[5,8,1,6,7,4,2,3] => 0100110 => 0110010 => 1001101
[7,2,8,4,6,1,3,5] => 1010100 => 0010101 => 1101010
[6,2,7,4,3,8,1,5] => 1011010 => 0101101 => 1010010
[1,7,8,4,6,2,3,5] => 0010100 => 0010100 => 1101011
[7,1,8,4,6,2,3,5] => 1010100 => 0010101 => 1101010
[8,1,6,5,4,7,2,3] => 1011010 => 0101101 => 1010010
[4,1,6,8,7,3,2,5] => 1001110 => 0111001 => 1000110
[5,1,4,6,7,3,8,2] => 1000101 => 1010001 => 0101110
[7,1,3,4,6,2,8,5] => 1000101 => 1010001 => 0101110
[3,4,1,6,2,5,8,7,9] => 01010010 => 01001010 => 10110101
[3,4,1,2,6,5,8,7,9] => 01001010 => 01010010 => 10101101
[2,4,1,6,3,5,8,7,10,9,11] => 0101001010 => 0101001010 => 1010110101
[3,4,1,6,2,5,8,7,10,9] => 010100101 => 101001010 => 010110101
[3,5,1,6,2,4,8,7,9] => 01010010 => 01001010 => 10110101
[2,5,1,6,3,4,8,7,9] => 01010010 => 01001010 => 10110101
[3,5,1,2,6,4,8,7,9] => 01001010 => 01010010 => 10101101
[2,5,1,3,6,4,8,7,9] => 01001010 => 01010010 => 10101101
[8,7,1,4,6,3,2,5] => 1100110 => 0110011 => 1001100
[6,5,2,8,4,7,1,3] => 1101010 => 0101011 => 1010100
[1,4,7,5,8,6,3,2] => 0010111 => 1110100 => 0001011
[6,1,8,3,4,7,2,5] => 1010010 => 0100101 => 1011010
[1,8,6,3,5,2,7,4] => 0110101 => 1010110 => 0101001
[7,8,1,3,5,4,2,6] => 0100110 => 0110010 => 1001101
[4,7,1,6,8,3,5,2] => 0100101 => 1010010 => 0101101
[3,6,5,2,8,4,1,7] => 0110110 => 0110110 => 1001001
[8,2,5,6,3,1,7,4] => 1001101 => 1011001 => 0100110
[7,1,8,4,2,5,3,6] => 1011010 => 0101101 => 1010010
[1,4,8,7,5,2,6,3] => 0011101 => 1011100 => 0100011
[1,5,6,4,2,3,7,8] => 0011000 => 0001100 => 1110011
[5,8,7,4,2,1,3,6] => 0111100 => 0011110 => 1100001
[3,1,5,2,7,8,6,4] => 1010011 => 1100101 => 0011010
[1,8,7,3,2,5,4,6] => 0111010 => 0101110 => 1010001
[1,2,5,4,8,7,3,6] => 0010110 => 0110100 => 1001011
[1,2,4,8,6,3,5,7] => 0001100 => 0011000 => 1100111
[1,5,2,4,7,3,8,6] => 0100101 => 1010010 => 0101101
[8,6,3,5,7,4,1,2] => 1100110 => 0110011 => 1001100
[8,5,3,2,1,4,7,6] => 1111001 => 1001111 => 0110000
[1,2,7,6,8,4,3,5] => 0010110 => 0110100 => 1001011
[1,6,3,2,5,7,8,4] => 0110001 => 1000110 => 0111001
[1,7,3,4,2,6,8,5] => 0101001 => 1001010 => 0110101
[1,6,3,5,8,4,2,7] => 0100110 => 0110010 => 1001101
[1,5,6,3,2,8,4,7] => 0011010 => 0101100 => 1010011
[1,2,5,8,4,6,3,7] => 0001010 => 0101000 => 1010111
[1,5,3,2,7,8,4,6] => 0110010 => 0100110 => 1011001
[4,1,8,6,2,3,7,5] => 1011001 => 1001101 => 0110010
[7,5,8,6,2,3,4,1] => 1011001 => 1001101 => 0110010
[1,7,6,4,3,8,5,2] => 0111011 => 1101110 => 0010001
[1,8,5,7,6,3,2,4] => 0101110 => 0111010 => 1000101
[1,4,7,3,6,8,5,2] => 0010011 => 1100100 => 0011011
[1,6,3,5,7,8,4,2] => 0100011 => 1100010 => 0011101
[1,5,6,3,2,7,8,4] => 0011001 => 1001100 => 0110011
[1,2,7,6,8,4,5,3] => 0010101 => 1010100 => 0101011
[1,8,4,7,5,3,2,6] => 0101110 => 0111010 => 1000101
[6,8,5,2,1,7,4,3] => 0111011 => 1101110 => 0010001
[1,2,6,8,4,3,7,5] => 0001101 => 1011000 => 0100111
[5,3,7,2,6,4,1,8] => 1010110 => 0110101 => 1001010
[5,3,8,2,6,1,7,4] => 1010101 => 1010101 => 0101010
[7,6,2,5,3,4,1,8] => 1101010 => 0101011 => 1010100
[7,6,2,4,5,3,1,8] => 1100110 => 0110011 => 1001100
[7,6,2,4,3,5,1,8] => 1101010 => 0101011 => 1010100
[7,6,2,3,5,4,1,8] => 1100110 => 0110011 => 1001100
[8,4,2,7,1,6,3,5] => 1101010 => 0101011 => 1010100
[8,7,6,1,5,3,2,4] => 1110110 => 0110111 => 1001000
[8,7,6,1,4,3,5,2] => 1110101 => 1010111 => 0101000
[8,7,6,1,3,5,4,2] => 1110011 => 1100111 => 0011000
[8,7,6,1,5,4,2,3] => 1110110 => 0110111 => 1001000
[8,6,2,7,1,5,3,4] => 1101010 => 0101011 => 1010100
[5,3,7,2,8,1,6,4] => 1010101 => 1010101 => 0101010
[8,3,5,4,2,1,6,7] => 1011100 => 0011101 => 1100010
[7,8,4,3,1,5,2,6] => 0111010 => 0101110 => 1010001
[8,6,3,7,1,5,2,4] => 1101010 => 0101011 => 1010100
[8,7,6,1,2,5,3,4] => 1110010 => 0100111 => 1011000
[8,7,6,1,2,5,4,3] => 1110011 => 1100111 => 0011000
[8,7,6,1,4,2,5,3] => 1110101 => 1010111 => 0101000
[4,7,5,8,6,1,3,2] => 0101101 => 1011010 => 0100101
[6,5,7,3,8,4,1,2] => 1010110 => 0110101 => 1001010
[8,7,5,4,1,2,6,3] => 1111001 => 1001111 => 0110000
[8,6,7,1,5,3,2,4] => 1010110 => 0110101 => 1001010
[7,5,6,1,3,4,2,8] => 1010010 => 0100101 => 1011010
[5,7,8,1,3,4,2,6] => 0010010 => 0100100 => 1011011
[7,8,5,1,3,4,2,6] => 0110010 => 0100110 => 1011001
[5,7,8,3,4,6,1,2] => 0010010 => 0100100 => 1011011
[7,5,1,3,4,2,6,8] => 1100100 => 0010011 => 1101100
[5,7,1,3,4,2,8,6] => 0100101 => 1010010 => 0101101
[7,3,5,6,4,8,1,2] => 1001010 => 0101001 => 1010110
[1,7,3,8,2,5,6,4] => 0101001 => 1001010 => 0110101
[1,5,3,7,8,4,6,2] => 0100101 => 1010010 => 0101101
[1,5,7,3,8,2,6,4] => 0010101 => 1010100 => 0101011
[7,1,5,3,6,2,4,8] => 1010100 => 0010101 => 1101010
[1,7,3,5,8,4,2,6] => 0100110 => 0110010 => 1001101
[1,3,7,5,8,6,2,4] => 0010110 => 0110100 => 1001011
[1,7,8,5,3,6,2,4] => 0011010 => 0101100 => 1010011
[1,7,5,8,3,4,2,6] => 0101010 => 0101010 => 1010101
[7,1,5,6,3,4,2,8] => 1001010 => 0101001 => 1010110
[7,3,5,6,4,1,2,8] => 1001100 => 0011001 => 1100110
[3,7,5,8,4,1,2,6] => 0101100 => 0011010 => 1100101
[7,5,6,8,1,3,4,2] => 1001001 => 1001001 => 0110110
[5,3,4,7,8,1,2,6] => 1000100 => 0010001 => 1101110
[5,3,7,6,8,1,2,4] => 1010100 => 0010101 => 1101010
[3,7,1,2,5,8,4,6] => 0100010 => 0100010 => 1011101
[3,1,2,7,5,8,4,6] => 1001010 => 0101001 => 1010110
[3,1,2,5,7,8,6,4] => 1000011 => 1100001 => 0011110
[7,3,1,5,4,6,2,8] => 1101010 => 0101011 => 1010100
[7,3,5,1,2,6,4,8] => 1010010 => 0100101 => 1011010
[3,7,1,2,8,5,6,4] => 0100101 => 1010010 => 0101101
[5,3,1,7,4,6,8,2] => 1101001 => 1001011 => 0110100
[5,3,7,1,2,6,8,4] => 1010001 => 1000101 => 0111010
[7,4,8,3,5,6,1,2] => 1010010 => 0100101 => 1011010
[2,4,7,3,5,6,1,8] => 0010010 => 0100100 => 1011011
[5,7,6,4,2,3,1,8] => 0111010 => 0101110 => 1010001
[7,4,8,2,5,6,1,3] => 1010010 => 0100101 => 1011010
[5,8,2,4,6,1,3,7] => 0100100 => 0010010 => 1101101
[6,1,4,8,5,2,7,3] => 1001101 => 1011001 => 0100110
[3,4,5,8,1,6,7,2] => 0001001 => 1001000 => 0110111
[6,8,7,4,2,1,5,3] => 0111101 => 1011110 => 0100001
[5,6,8,4,7,3,1,2] => 0010110 => 0110100 => 1001011
[3,1,6,8,5,2,7,4] => 1001101 => 1011001 => 0100110
[2,3,8,1,5,6,4,7] => 0010010 => 0100100 => 1011011
[5,4,8,1,2,6,7,3] => 1010001 => 1000101 => 0111010
[5,1,8,2,4,6,7,3] => 1010001 => 1000101 => 0111010
[4,1,8,2,3,6,7,5] => 1010001 => 1000101 => 0111010
[5,2,3,8,1,7,4,6] => 1001010 => 0101001 => 1010110
[2,3,5,7,1,6,4,8] => 0001010 => 0101000 => 1010111
[1,5,3,8,2,4,6,7] => 0101000 => 0001010 => 1110101
[8,6,2,7,5,1,4,3] => 1101101 => 1011011 => 0100100
[2,7,1,8,6,3,5,4] => 0101101 => 1011010 => 0100101
[5,7,6,1,3,2,8,4] => 0110101 => 1010110 => 0101001
[3,5,4,6,1,7,8,2] => 0101001 => 1001010 => 0110101
[8,1,5,4,6,3,7,2] => 1010101 => 1010101 => 0101010
[8,4,2,5,6,3,7,1] => 1100101 => 1010011 => 0101100
[8,6,2,7,5,4,3,1] => 1101111 => 1111011 => 0000100
[5,4,7,2,8,6,1,3] => 1010110 => 0110101 => 1001010
[3,5,6,4,1,7,2,8] => 0011010 => 0101100 => 1010011
[2,5,6,1,7,4,3,8] => 0010110 => 0110100 => 1001011
[2,7,1,8,6,5,4,3] => 0101111 => 1111010 => 0000101
[3,7,6,1,8,5,4,2] => 0110111 => 1110110 => 0001001
[8,6,4,2,1,3,5,7,9] => 11110000 => 00001111 => 11110000
[8,6,2,1,4,3,5,7,9] => 11101000 => 00010111 => 11101000
[8,4,2,1,6,3,5,7,9] => 11101000 => 00010111 => 11101000
[6,4,2,1,8,3,5,7,9] => 11101000 => 00010111 => 11101000
[8,6,4,2,9,1,3,5,7] => 11101000 => 00010111 => 11101000
[9,6,4,2,7,1,3,5,8] => 11101000 => 00010111 => 11101000
[9,7,4,2,5,1,3,6,8] => 11101000 => 00010111 => 11101000
[9,7,5,2,3,1,4,6,8] => 11101000 => 00010111 => 11101000
[9,7,5,3,1,2,4,6,8] => 11110000 => 00001111 => 11110000
[10,8,6,4,2,1,3,5,7,9] => 111110000 => 000011111 => 111100000
[10,8,6,2,1,4,3,5,7,9] => 111101000 => 000101111 => 111010000
[8,2,1,4,3,6,5,7,9] => 11010100 => 00101011 => 11010100
[10,8,4,2,1,6,3,5,7,9] => 111101000 => 000101111 => 111010000
[4,2,1,6,3,5,8,7,9] => 11010010 => 01001011 => 10110100
[10,6,4,2,1,8,3,5,7,9] => 111101000 => 000101111 => 111010000
[6,4,2,1,8,3,5,9,7] => 11101001 => 10010111 => 01101000
[8,6,4,2,1,10,3,5,7,9] => 111101000 => 000101111 => 111010000
[6,4,2,7,1,3,5,8,9] => 11010000 => 00001011 => 11110100
[8,6,4,2,9,1,3,5,7,10] => 111010000 => 000010111 => 111101000
[6,2,8,3,1,4,5,7] => 1011000 => 0001101 => 1110010
[8,9,4,2,5,1,3,6,7] => 01101000 => 00010110 => 11101001
[9,6,4,2,7,1,3,5,8,10] => 111010000 => 000010111 => 111101000
[2,7,8,3,1,4,5,6] => 0011000 => 0001100 => 1110011
[9,6,7,2,3,1,4,5,8] => 10101000 => 00010101 => 11101010
[9,7,4,2,5,1,3,6,8,10] => 111010000 => 000010111 => 111101000
[9,7,4,5,1,2,3,6,8] => 11010000 => 00001011 => 11110100
[9,7,5,2,3,1,4,6,8,10] => 111010000 => 000010111 => 111101000
[9,7,5,3,1,2,4,6,8,10] => 111100000 => 000001111 => 111110000
[1,5,3,2,8,6,7,4] => 0110101 => 1010110 => 0101001
[1,8,5,3,2,6,7,4] => 0111001 => 1001110 => 0110001
[1,7,8,5,6,3,2,4] => 0010110 => 0110100 => 1001011
[1,5,6,7,3,2,8,4] => 0001101 => 1011000 => 0100111
[1,7,5,2,3,4,8,6] => 0110001 => 1000110 => 0111001
[1,7,5,2,4,8,6,3] => 0110011 => 1100110 => 0011001
[1,6,7,8,3,2,4,5] => 0001100 => 0011000 => 1100111
[1,4,8,6,2,3,5,7] => 0011000 => 0001100 => 1110011
[1,8,4,5,6,7,2,3] => 0100010 => 0100010 => 1011101
[1,2,8,6,3,4,5,7] => 0011000 => 0001100 => 1110011
[1,2,8,6,3,5,7,4] => 0011001 => 1001100 => 0110011
[1,2,7,8,4,3,5,6] => 0001100 => 0011000 => 1100111
[1,8,6,7,4,2,3,5] => 0101100 => 0011010 => 1100101
[1,6,7,8,4,2,3,5] => 0001100 => 0011000 => 1100111
[1,6,7,8,3,4,2,5] => 0001010 => 0101000 => 1010111
[1,7,4,2,3,8,5,6] => 0110010 => 0100110 => 1011001
[1,7,8,4,2,3,5,6] => 0011000 => 0001100 => 1110011
[1,7,3,5,6,2,8,4] => 0100101 => 1010010 => 0101101
[1,7,8,3,4,2,5,6] => 0010100 => 0010100 => 1101011
[1,2,3,7,8,5,4,6] => 0000110 => 0110000 => 1001111
[1,2,7,4,6,3,8,5] => 0010101 => 1010100 => 0101011
[1,7,4,5,2,3,8,6] => 0101001 => 1001010 => 0110101
[1,7,8,4,5,2,3,6] => 0010100 => 0010100 => 1101011
[1,7,8,3,4,5,2,6] => 0010010 => 0100100 => 1011011
[1,2,8,4,5,6,3,7] => 0010010 => 0100100 => 1011011
[1,8,4,5,6,2,3,7] => 0100100 => 0010010 => 1101101
[5,8,2,7,3,4,1,6] => 0101010 => 0101010 => 1010101
[6,8,7,2,3,4,1,5] => 0110010 => 0100110 => 1011001
[3,8,7,5,2,6,1,4] => 0111010 => 0101110 => 1010001
[4,8,7,3,2,5,1,6] => 0111010 => 0101110 => 1010001
[5,3,8,1,6,7,4,2] => 1010011 => 1100101 => 0011010
[5,8,2,1,3,7,6,4] => 0110011 => 1100110 => 0011001
[5,1,8,2,6,4,7,3] => 1010101 => 1010101 => 0101010
[5,1,8,3,6,7,4,2] => 1010011 => 1100101 => 0011010
[3,1,8,4,6,2,7,5] => 1010101 => 1010101 => 0101010
[8,4,1,6,5,2,3,7] => 1101100 => 0011011 => 1100100
[1,8,7,6,4,3,5,2] => 0111101 => 1011110 => 0100001
[6,1,8,7,5,3,4,2] => 1011101 => 1011101 => 0100010
[6,8,7,3,2,4,1,5] => 0111010 => 0101110 => 1010001
[2,3,7,5,6,8,4,1] => 0010011 => 1100100 => 0011011
[3,2,4,7,5,8,1,6] => 1001010 => 0101001 => 1010110
[2,8,7,6,4,5,1,3] => 0111010 => 0101110 => 1010001
[4,8,7,6,3,1,5,2] => 0111101 => 1011110 => 0100001
[3,5,2,4,7,6,8,1] => 0100101 => 1010010 => 0101101
[5,3,2,6,4,7,8,1] => 1101001 => 1001011 => 0110100
[5,3,2,6,7,4,8,1] => 1100101 => 1010011 => 0101100
[5,3,2,7,6,4,8,1] => 1101101 => 1011011 => 0100100
[7,3,5,2,8,4,6,1] => 1010101 => 1010101 => 0101010
[3,5,2,7,4,6,8,1] => 0101001 => 1001010 => 0110101
[3,2,5,7,4,6,8,1] => 1001001 => 1001001 => 0110110
[3,2,7,5,4,8,6,1] => 1011011 => 1101101 => 0010010
[3,7,5,2,4,8,6,1] => 0110011 => 1100110 => 0011001
[2,3,7,5,4,8,6,1] => 0011011 => 1101100 => 0010011
[8,3,5,1,6,4,7,2] => 1010101 => 1010101 => 0101010
[8,4,5,6,1,3,7,2] => 1001001 => 1001001 => 0110110
[3,4,7,6,8,2,5,1] => 0010101 => 1010100 => 0101011
[5,2,8,4,1,3,6,7] => 1011000 => 0001101 => 1110010
[3,8,5,2,1,4,6,7] => 0111000 => 0001110 => 1110001
[7,6,4,1,8,2,5,3] => 1110101 => 1010111 => 0101000
[7,5,4,2,1,6,3,8] => 1111010 => 0101111 => 1010000
[8,1,6,7,3,4,2,5] => 1001010 => 0101001 => 1010110
[8,2,1,6,7,4,3,5] => 1100110 => 0110011 => 1001100
[5,2,8,6,3,7,1,4] => 1011010 => 0101101 => 1010010
[7,6,8,1,2,5,4,3] => 1010011 => 1100101 => 0011010
[1,2,9,3,4,5,6,8,7] => 00100001 => 10000100 => 01111011
[1,2,3,8,4,5,9,6,7] => 00010010 => 01001000 => 10110111
[1,2,3,4,9,5,6,8,7] => 00001001 => 10010000 => 01101111
[2,1,3,4,8,5,7,6] => 1000101 => 1010001 => 0101110
[1,2,3,4,5,9,6,8,7] => 00000101 => 10100000 => 01011111
[7,1,2,3,4,8,5,9,6] => 10000101 => 10100001 => 01011110
[6,9,1,2,3,4,8,5,7] => 01000010 => 01000010 => 10111101
[1,2,10,3,4,5,6,7,9,8] => 001000001 => 100000100 => 011111011
[5,1,9,2,3,4,8,6,7] => 10100010 => 01000101 => 10111010
[1,2,3,9,4,5,6,10,7,8] => 000100010 => 010001000 => 101110111
[4,1,2,3,5,8,6,9,7] => 10000101 => 10100001 => 01011110
[1,2,3,4,10,5,6,7,9,8] => 000010001 => 100010000 => 011101111
[3,1,2,4,9,5,8,6,7] => 10001010 => 01010001 => 10101110
[1,2,3,4,5,10,6,7,9,8] => 000001001 => 100100000 => 011011111
[2,1,3,4,5,9,6,8,7] => 10000101 => 10100001 => 01011110
[1,2,3,4,5,6,9,10,7,8] => 000000010 => 010000000 => 101111111
[10,1,2,3,4,5,6,7,11,8,9] => 1000000010 => 0100000001 => 1011111110
[8,1,2,3,4,5,9,6,10,7] => 100000101 => 101000001 => 010111110
[1,11,2,3,4,5,6,7,8,10,9] => 0100000001 => 1000000010 => 0111111101
[1,7,2,3,4,5,9,8,6] => 01000011 => 11000010 => 00111101
[7,10,1,2,3,4,5,9,6,8] => 010000010 => 010000010 => 101111101
[1,2,11,3,4,5,6,7,8,10,9] => 0010000001 => 1000000100 => 0111111011
[1,6,2,3,4,5,9,8,7] => 01000011 => 11000010 => 00111101
[6,1,2,3,7,4,8,9,5] => 10001001 => 10010001 => 01101110
[6,1,10,2,3,4,5,9,7,8] => 101000010 => 010000101 => 101111010
[1,2,3,10,4,5,6,7,11,8,9] => 0001000010 => 0100001000 => 1011110111
[5,7,1,2,6,8,3,4] => 0100010 => 0100010 => 1011101
[1,2,3,8,5,4,6,9,7] => 00011001 => 10011000 => 01100111
[5,9,1,2,6,3,4,8,7] => 01001001 => 10010010 => 01101101
[5,1,2,3,4,6,9,7,10,8] => 100000101 => 101000001 => 010111110
[1,2,3,4,11,5,6,7,8,10,9] => 0000100001 => 1000010000 => 0111101111
[1,4,2,3,5,6,9,8,7] => 01000011 => 11000010 => 00111101
[1,5,2,3,6,8,7,4] => 0100011 => 1100010 => 0011101
[4,1,9,5,2,3,6,8,7] => 10110001 => 10001101 => 01110010
[4,1,2,3,10,5,6,9,7,8] => 100010010 => 010010001 => 101101110
[1,2,3,4,5,11,6,7,8,10,9] => 0000010001 => 1000100000 => 0111011111
[1,3,2,4,5,6,9,8,7] => 01000011 => 11000010 => 00111101
[3,4,1,2,5,6,8,9,7] => 01000001 => 10000010 => 01111101
[3,1,2,4,5,10,6,9,7,8] => 100001010 => 010100001 => 101011110
[1,2,3,4,5,6,10,7,11,8,9] => 0000001010 => 0101000000 => 1010111111
[2,3,1,4,9,5,6,8,7] => 01001001 => 10010010 => 01101101
[1,2,3,4,5,6,7,11,8,10,9] => 0000000101 => 1010000000 => 0101111111
[1,2,3,4,5,6,7,8,11,10,9] => 0000000011 => 1100000000 => 0011111111
[3,5,7,4,1,8,2,6] => 0011010 => 0101100 => 1010011
[8,6,4,7,5,1,2,3] => 1101100 => 0011011 => 1100100
[8,6,4,1,2,5,3,7] => 1110010 => 0100111 => 1011000
[2,8,4,3,1,6,5,7] => 0111010 => 0101110 => 1010001
[3,8,4,6,1,5,2,7] => 0101010 => 0101010 => 1010101
[8,3,5,6,1,4,7,2] => 1001001 => 1001001 => 0110110
[6,8,7,3,5,4,2,1] => 0110111 => 1110110 => 0001001
[3,1,2,8,5,7,4,6] => 1001010 => 0101001 => 1010110
[8,1,2,3,4,6,9,5,7] => 10000010 => 01000001 => 10111110
[8,1,2,4,6,9,3,5,7] => 10000100 => 00100001 => 11011110
[6,1,2,3,4,5,9,8,7] => 10000011 => 11000001 => 00111110
[5,1,2,3,4,8,6,9,7] => 10000101 => 10100001 => 01011110
[4,1,2,3,9,6,8,5,7] => 10001010 => 01010001 => 10101110
[9,1,2,3,4,5,7,10,6,8] => 100000010 => 010000001 => 101111110
[7,3,1,2,5,8,4,6] => 1100010 => 0100011 => 1011100
[3,1,2,8,4,6,9,5,7] => 10010010 => 01001001 => 10110110
[8,3,5,7,2,1,4,6] => 1001100 => 0011001 => 1100110
[2,1,3,8,5,7,4,6] => 1001010 => 0101001 => 1010110
[2,1,9,4,6,8,3,5,7] => 10100100 => 00100101 => 11011010
[9,1,2,3,5,7,10,4,6,8] => 100000100 => 001000001 => 110111110
[1,8,2,4,6,9,3,5,7] => 01000100 => 00100010 => 11011101
[9,1,3,5,7,10,2,4,6,8] => 100001000 => 000100001 => 111011110
[7,3,1,2,8,4,5,6] => 1100100 => 0010011 => 1101100
[2,1,4,7,6,3,5,8] => 1001100 => 0011001 => 1100110
[7,2,4,5,3,8,1,6] => 1001010 => 0101001 => 1010110
[8,4,2,5,6,7,3,1] => 1100011 => 1100011 => 0011100
[5,4,1,6,3,7,8,2] => 1101001 => 1001011 => 0110100
[4,5,1,3,6,7,8,2] => 0100001 => 1000010 => 0111101
[5,1,7,6,3,4,8,2] => 1011001 => 1001101 => 0110010
[6,1,7,5,4,8,2,3] => 1011010 => 0101101 => 1010010
[3,7,2,1,6,8,4,5] => 0110010 => 0100110 => 1011001
[1,5,8,2,4,7,6,3] => 0010011 => 1100100 => 0011011
[5,8,1,6,4,7,3,2] => 0101011 => 1101010 => 0010101
[3,8,6,5,7,2,4,1] => 0110101 => 1010110 => 0101001
[6,8,1,4,7,3,5,2] => 0100101 => 1010010 => 0101101
[1,6,8,2,7,4,5,3] => 0010101 => 1010100 => 0101011
[5,7,2,1,8,4,3,6] => 0110110 => 0110110 => 1001001
[5,7,1,6,8,3,2,4] => 0100110 => 0110010 => 1001101
[5,6,2,1,8,3,4,7] => 0110100 => 0010110 => 1101001
[6,4,1,7,3,8,2,5] => 1101010 => 0101011 => 1010100
[8,2,5,6,7,1,4,3] => 1000101 => 1010001 => 0101110
[7,2,4,6,8,3,1,5] => 1000110 => 0110001 => 1001110
[6,2,4,7,8,1,3,5] => 1000100 => 0010001 => 1101110
[6,1,4,3,2,8,5,7] => 1011010 => 0101101 => 1010010
[2,7,4,8,6,1,5,3] => 0101101 => 1011010 => 0100101
[2,4,8,6,5,7,3,1] => 0011011 => 1101100 => 0010011
[3,7,8,6,4,2,5,1] => 0011101 => 1011100 => 0100011
[6,2,8,4,7,5,1,3] => 1010110 => 0110101 => 1001010
[4,5,7,3,6,8,1,2] => 0010010 => 0100100 => 1011011
[3,4,7,8,6,5,1,2] => 0001110 => 0111000 => 1000111
[1,4,7,2,6,8,5,3] => 0010011 => 1100100 => 0011011
[2,3,7,6,5,1,4,8] => 0011100 => 0011100 => 1100011
[3,2,7,6,4,1,5,8] => 1011100 => 0011101 => 1100010
[6,2,3,5,7,1,4,8] => 1000100 => 0010001 => 1101110
[7,8,1,2,5,6,4,3] => 0100011 => 1100010 => 0011101
[7,1,3,6,8,5,2,4] => 1000110 => 0110001 => 1001110
[4,2,8,5,1,6,3,7] => 1011010 => 0101101 => 1010010
[6,5,8,1,4,2,3,7] => 1010100 => 0010101 => 1101010
[3,8,2,4,5,1,6,7] => 0100100 => 0010010 => 1101101
[3,6,2,4,1,5,7,8] => 0101000 => 0001010 => 1110101
[2,3,8,4,1,6,5,7] => 0011010 => 0101100 => 1010011
[4,5,7,3,1,6,2,8] => 0011010 => 0101100 => 1010011
[2,3,1,4,8,5,7,6] => 0100101 => 1010010 => 0101101
[4,2,6,1,5,8,7,3] => 1010011 => 1100101 => 0011010
[7,5,1,8,4,3,6,2] => 1101101 => 1011011 => 0100100
[3,1,8,5,7,6,4,2] => 1010111 => 1110101 => 0001010
[5,1,8,7,4,6,3,2] => 1011011 => 1101101 => 0010010
[2,4,8,7,5,1,3,6] => 0011100 => 0011100 => 1100011
[3,5,7,6,1,8,4,2] => 0011011 => 1101100 => 0010011
[3,5,7,6,2,8,4,1] => 0011011 => 1101100 => 0010011
[1,5,3,2,8,7,6,4] => 0110111 => 1110110 => 0001001
[6,1,4,3,8,7,5,2] => 1010111 => 1110101 => 0001010
[6,3,1,8,7,4,2,5] => 1101110 => 0111011 => 1000100
[5,3,6,2,8,7,4,1] => 1010111 => 1110101 => 0001010
[6,3,5,2,1,8,7,4] => 1011011 => 1101101 => 0010010
[2,8,4,1,3,7,6,5] => 0110011 => 1100110 => 0011001
[3,8,1,4,7,6,5,2] => 0100111 => 1110010 => 0001101
[6,2,3,8,7,5,4,1] => 1001111 => 1111001 => 0000110
[4,1,3,5,8,7,6,2] => 1000111 => 1110001 => 0001110
[3,4,7,5,8,1,2,6] => 0010100 => 0010100 => 1101011
[2,7,8,3,4,1,5,6] => 0010100 => 0010100 => 1101011
[2,8,6,7,5,4,3,1] => 0101111 => 1111010 => 0000101
[7,2,6,8,1,4,3,5] => 1001010 => 0101001 => 1010110
[5,3,6,2,8,4,7,1] => 1010101 => 1010101 => 0101010
[8,1,6,3,7,4,5,2] => 1010101 => 1010101 => 0101010
[2,4,3,7,1,8,6,5] => 0101011 => 1101010 => 0010101
[2,6,5,7,3,8,4,1] => 0101011 => 1101010 => 0010101
[6,8,2,7,4,1,5,3] => 0101101 => 1011010 => 0100101
[6,1,7,8,5,3,2,4] => 1001110 => 0111001 => 1000110
[2,6,5,4,7,1,8,3] => 0110101 => 1010110 => 0101001
[5,8,3,4,6,1,7,2] => 0100101 => 1010010 => 0101101
[6,1,7,4,2,5,8,3] => 1011001 => 1001101 => 0110010
[6,8,7,1,5,4,2,3] => 0110110 => 0110110 => 1001001
[4,8,3,1,5,7,6,2] => 0110011 => 1100110 => 0011001
[5,3,8,2,7,1,6,4] => 1010101 => 1010101 => 0101010
[8,3,4,5,2,7,1,6] => 1001010 => 0101001 => 1010110
[8,2,6,7,1,5,3,4] => 1001010 => 0101001 => 1010110
[7,1,5,2,6,3,4,8] => 1010100 => 0010101 => 1101010
[3,7,1,5,2,6,8,4] => 0101001 => 1001010 => 0110101
[6,7,1,8,3,4,5,2] => 0101001 => 1001010 => 0110101
[3,7,1,6,8,4,5,2] => 0100101 => 1010010 => 0101101
[3,8,5,2,6,7,1,4] => 0110010 => 0100110 => 1011001
[3,6,5,2,7,1,4,8] => 0110100 => 0010110 => 1101001
[6,8,3,4,7,1,5,2] => 0100101 => 1010010 => 0101101
[3,7,1,6,5,2,8,4] => 0101101 => 1011010 => 0100101
[8,3,5,2,7,1,6,4] => 1010101 => 1010101 => 0101010
[3,8,6,4,7,1,5,2] => 0110101 => 1010110 => 0101001
[3,7,1,4,8,6,5,2] => 0100111 => 1110010 => 0001101
[3,7,1,4,5,2,8,6] => 0100101 => 1010010 => 0101101
[2,3,7,6,5,8,1,4] => 0011010 => 0101100 => 1010011
[4,3,5,6,7,8,9,1,2] => 10000010 => 01000001 => 10111110
[6,7,8,5,4,3,2,1,9] => 00111110 => 01111100 => 10000011
[6,5,7,8,4,3,2,1,9] => 10011110 => 01111001 => 10000110
[6,5,4,7,8,3,2,1,9] => 11001110 => 01110011 => 10001100
[6,5,4,3,7,8,2,1,9] => 11100110 => 01100111 => 10011000
[6,5,4,3,2,7,8,1,9] => 11110010 => 01001111 => 10110000
[7,8,9,5,4,3,2,1,6] => 00111110 => 01111100 => 10000011
[7,8,9,6,5,4,3,2,1,10] => 001111110 => 011111100 => 100000011
[6,7,8,9,4,3,2,1,5] => 00011110 => 01111000 => 10000111
[7,6,8,9,5,4,3,2,1,10] => 100111110 => 011111001 => 100000110
[6,5,7,8,9,3,2,1,4] => 10001110 => 01110001 => 10001110
[7,6,5,8,9,4,3,2,1,10] => 110011110 => 011110011 => 100001100
[6,5,4,7,8,9,2,1,3] => 11000110 => 01100011 => 10011100
[7,6,5,4,8,9,3,2,1,10] => 111001110 => 011100111 => 100011000
[6,5,4,3,7,8,9,1,2] => 11100010 => 01000111 => 10111000
[7,6,5,4,3,8,9,2,1,10] => 111100110 => 011001111 => 100110000
[6,5,4,3,2,7,8,9,1] => 11110001 => 10001111 => 01110000
[7,6,5,4,3,2,8,9,1,10] => 111110010 => 010011111 => 101100000
[2,1,4,3,6,5,10,11,12,7,8,9] => 10101000100 => 00100010101 => 11011101010
[2,1,4,3,8,10,11,5,12,6,7,9] => 10100010100 => 00101000101 => 11010111010
[2,1,4,3,9,10,11,12,5,6,7,8] => 10100001000 => 00010000101 => 11101111010
[2,1,5,8,3,9,10,4,6,7,12,11] => 10010010001 => 10001001001 => 01110110110
[2,1,5,9,3,10,11,12,4,6,7,8] => 10010001000 => 00010001001 => 11101110110
[2,1,6,7,8,3,4,5,11,12,9,10] => 10001000010 => 01000010001 => 10111101110
[2,1,6,7,9,3,4,10,5,8,12,11] => 10001001001 => 10010010001 => 01101101110
[2,1,6,7,9,3,4,11,5,12,8,10] => 10001001010 => 01010010001 => 10101101110
[2,1,6,7,10,3,4,11,12,5,8,9] => 10001000100 => 00100010001 => 11011101110
[2,1,6,8,9,3,11,4,5,12,7,10] => 10001010010 => 01001010001 => 10110101110
[2,1,6,8,10,3,11,4,12,5,7,9] => 10001010100 => 00101010001 => 11010101110
[2,1,6,9,10,3,11,12,4,5,7,8] => 10001001000 => 00010010001 => 11101101110
[2,1,7,8,9,11,3,4,5,12,6,10] => 10000100010 => 01000100001 => 10111011110
[2,1,7,8,10,11,3,4,12,5,6,9] => 10000100100 => 00100100001 => 11011011110
[2,1,7,9,10,11,3,12,4,5,6,8] => 10000101000 => 00010100001 => 11101011110
[2,1,8,9,10,11,12,3,4,5,6,7] => 10000010000 => 00001000001 => 11110111110
[3,4,1,2,6,5,8,7,10,9,12,11] => 01001010101 => 10101010010 => 01010101101
[3,4,1,2,6,5,9,10,7,8,12,11] => 01001001001 => 10010010010 => 01101101101
[3,4,1,2,7,8,5,6,11,12,9,10] => 01000100010 => 01000100010 => 10111011101
[3,4,1,2,7,9,5,11,6,12,8,10] => 01000101010 => 01010100010 => 10101011101
[3,4,1,2,9,10,11,12,5,6,7,8] => 01000001000 => 00010000010 => 11101111101
[3,5,1,6,2,4,9,11,7,12,8,10] => 01010001010 => 01010001010 => 10101110101
[3,5,1,7,2,8,4,6,11,12,9,10] => 01010100010 => 01000101010 => 10111010101
[3,5,1,7,2,9,4,11,6,12,8,10] => 01010101010 => 01010101010 => 10101010101
[3,5,1,8,2,9,10,4,6,7,12,11] => 01010010001 => 10001001010 => 01110110101
[3,5,1,9,2,10,11,12,4,6,7,8] => 01010001000 => 00010001010 => 11101110101
[3,6,1,7,9,2,4,10,5,8,12,11] => 01001001001 => 10010010010 => 01101101101
[3,6,1,8,9,2,10,4,5,7,12,11] => 01001010001 => 10001010010 => 01110101101
[3,6,1,9,10,2,11,12,4,5,7,8] => 01001001000 => 00010010010 => 11101101101
[3,7,1,8,9,10,2,4,5,6,12,11] => 01000100001 => 10000100010 => 01111011101
[3,7,1,8,9,11,2,4,5,12,6,10] => 01000100010 => 01000100010 => 10111011101
[3,7,1,9,10,11,2,12,4,5,6,8] => 01000101000 => 00010100010 => 11101011101
[3,8,1,9,10,11,12,2,4,5,6,7] => 01000010000 => 00001000010 => 11110111101
[4,5,6,1,2,3,8,7,10,9,12,11] => 00100010101 => 10101000100 => 01010111011
[4,5,7,1,2,9,3,10,6,8,12,11] => 00100101001 => 10010100100 => 01101011011
[4,5,8,1,2,9,10,3,6,7,12,11] => 00100010001 => 10001000100 => 01110111011
[4,5,9,1,2,10,11,12,3,6,7,8] => 00100001000 => 00010000100 => 11101111011
[4,6,7,1,8,2,3,5,10,9,12,11] => 00101000101 => 10100010100 => 01011101011
[4,6,7,1,9,2,3,10,5,8,12,11] => 00101001001 => 10010010100 => 01101101011
[4,6,8,1,9,2,10,3,5,7,12,11] => 00101010001 => 10001010100 => 01110101011
[4,6,8,1,10,2,11,3,12,5,7,9] => 00101010100 => 00101010100 => 11010101011
[4,6,9,1,10,2,11,12,3,5,7,8] => 00101001000 => 00010010100 => 11101101011
[4,7,8,1,9,10,2,3,5,6,12,11] => 00100100001 => 10000100100 => 01111011011
[4,7,9,1,10,11,2,12,3,5,6,8] => 00100101000 => 00010100100 => 11101011011
[4,8,9,1,10,11,12,2,3,5,6,7] => 00100010000 => 00001000100 => 11110111011
[5,6,7,8,1,2,3,4,10,9,12,11] => 00010000101 => 10100001000 => 01011110111
[5,6,7,8,1,2,3,4,11,12,9,10] => 00010000010 => 01000001000 => 10111110111
[5,6,7,9,1,2,3,10,4,8,12,11] => 00010001001 => 10010001000 => 01101110111
[5,6,7,9,1,2,3,11,4,12,8,10] => 00010001010 => 01010001000 => 10101110111
[5,6,7,10,1,2,3,11,12,4,8,9] => 00010000100 => 00100001000 => 11011110111
[5,6,8,9,1,2,10,3,4,7,12,11] => 00010010001 => 10001001000 => 01110110111
[5,6,8,9,1,2,11,3,4,12,7,10] => 00010010010 => 01001001000 => 10110110111
[5,6,8,10,1,2,11,3,12,4,7,9] => 00010010100 => 00101001000 => 11010110111
[5,6,9,10,1,2,11,12,3,4,7,8] => 00010001000 => 00010001000 => 11101110111
[5,7,8,9,1,10,2,3,4,6,12,11] => 00010100001 => 10000101000 => 01111010111
[5,7,8,9,1,11,2,3,4,12,6,10] => 00010100010 => 01000101000 => 10111010111
[5,7,8,10,1,11,2,3,12,4,6,9] => 00010100100 => 00100101000 => 11011010111
[5,7,9,10,1,11,2,12,3,4,6,8] => 00010101000 => 00010101000 => 11101010111
[5,8,9,10,1,11,12,2,3,4,6,7] => 00010010000 => 00001001000 => 11110110111
[6,7,8,9,10,1,2,3,4,5,12,11] => 00001000001 => 10000010000 => 01111101111
[6,7,8,9,11,1,2,3,4,12,5,10] => 00001000010 => 01000010000 => 10111101111
[6,7,8,10,11,1,2,3,12,4,5,9] => 00001000100 => 00100010000 => 11011101111
[6,7,9,10,11,1,2,12,3,4,5,8] => 00001001000 => 00010010000 => 11101101111
[3,5,7,6,8,2,1,4] => 0010110 => 0110100 => 1001011
[4,2,5,3,7,6,1,8] => 1010110 => 0110101 => 1001010
[6,2,4,3,7,5,1,8] => 1010110 => 0110101 => 1001010
[1,3,6,4,7,5,2,8] => 0010110 => 0110100 => 1001011
[8,2,5,3,6,4,1,7] => 1010110 => 0110101 => 1001010
[7,2,5,3,6,4,1,8] => 1010110 => 0110101 => 1001010
[6,2,5,3,7,4,1,8] => 1010110 => 0110101 => 1001010
[4,2,6,3,7,5,1,8] => 1010110 => 0110101 => 1001010
[5,2,7,3,6,4,1,8] => 1010110 => 0110101 => 1001010
[7,3,6,2,5,4,1,8] => 1010110 => 0110101 => 1001010
[6,3,8,2,5,4,1,7] => 1010110 => 0110101 => 1001010
[7,3,1,4,6,5,2,8] => 1100110 => 0110011 => 1001100
[8,3,7,2,5,4,1,6] => 1010110 => 0110101 => 1001010
[5,2,8,3,6,4,1,7] => 1010110 => 0110101 => 1001010
[3,2,8,4,6,5,1,7] => 1010110 => 0110101 => 1001010
[1,4,7,3,6,5,2,8] => 0010110 => 0110100 => 1001011
[8,2,5,4,1,6,3,7] => 1011010 => 0101101 => 1010010
[8,2,6,4,1,5,3,7] => 1011010 => 0101101 => 1010010
[1,4,8,3,7,5,2,6] => 0010110 => 0110100 => 1001011
[6,2,1,4,8,5,3,7] => 1100110 => 0110011 => 1001100
[5,2,1,4,8,6,3,7] => 1100110 => 0110011 => 1001100
[3,2,1,5,8,6,4,7] => 1100110 => 0110011 => 1001100
[4,2,8,3,7,5,1,6] => 1010110 => 0110101 => 1001010
[5,2,8,3,7,4,1,6] => 1010110 => 0110101 => 1001010
[8,3,7,2,6,4,1,5] => 1010110 => 0110101 => 1001010
[7,3,1,4,8,5,2,6] => 1100110 => 0110011 => 1001100
[1,3,7,4,8,5,2,6] => 0010110 => 0110100 => 1001011
[8,2,6,3,7,4,1,5] => 1010110 => 0110101 => 1001010
[7,2,6,3,8,4,1,5] => 1010110 => 0110101 => 1001010
[5,2,7,3,8,4,1,6] => 1010110 => 0110101 => 1001010
[3,2,7,4,8,5,1,6] => 1010110 => 0110101 => 1001010
[5,2,6,3,8,4,1,7] => 1010110 => 0110101 => 1001010
[6,2,5,3,8,4,1,7] => 1010110 => 0110101 => 1001010
[7,2,5,3,8,4,1,6] => 1010110 => 0110101 => 1001010
[8,2,5,3,7,4,1,6] => 1010110 => 0110101 => 1001010
[1,3,6,4,8,5,2,7] => 0010110 => 0110100 => 1001011
[1,3,5,4,8,6,2,7] => 0010110 => 0110100 => 1001011
[8,2,4,3,7,5,1,6] => 1010110 => 0110101 => 1001010
[7,2,4,3,8,5,1,6] => 1010110 => 0110101 => 1001010
[6,2,4,3,8,5,1,7] => 1010110 => 0110101 => 1001010
[5,2,4,3,8,6,1,7] => 1010110 => 0110101 => 1001010
[4,2,5,3,8,6,1,7] => 1010110 => 0110101 => 1001010
[4,2,5,3,1,7,6,8] => 1011010 => 0101101 => 1010010
[6,2,4,3,1,7,5,8] => 1011010 => 0101101 => 1010010
[7,2,4,3,1,6,5,8] => 1011010 => 0101101 => 1010010
[8,5,1,3,6,4,2,7] => 1100110 => 0110011 => 1001100
[8,4,1,3,6,5,2,7] => 1100110 => 0110011 => 1001100
[1,5,2,4,7,6,3,8] => 0100110 => 0110010 => 1001101
[7,2,5,3,1,6,4,8] => 1011010 => 0101101 => 1010010
[6,2,5,3,1,7,4,8] => 1011010 => 0101101 => 1010010
[4,2,6,3,1,7,5,8] => 1011010 => 0101101 => 1010010
[3,2,6,4,1,7,5,8] => 1011010 => 0101101 => 1010010
[3,2,7,4,1,6,5,8] => 1011010 => 0101101 => 1010010
[4,2,7,3,1,6,5,8] => 1011010 => 0101101 => 1010010
[5,2,7,3,1,6,4,8] => 1011010 => 0101101 => 1010010
[6,2,7,3,1,5,4,8] => 1011010 => 0101101 => 1010010
[7,2,6,3,1,5,4,8] => 1011010 => 0101101 => 1010010
[1,5,2,4,8,6,3,7] => 0100110 => 0110010 => 1001101
[8,4,1,3,7,5,2,6] => 1100110 => 0110011 => 1001100
[6,2,1,5,3,7,4,8] => 1101010 => 0101011 => 1010100
[3,2,1,6,4,7,5,8] => 1101010 => 0101011 => 1010100
[3,2,8,5,1,6,4,7] => 1011010 => 0101101 => 1010010
[6,2,8,4,1,5,3,7] => 1011010 => 0101101 => 1010010
[8,3,7,4,1,5,2,6] => 1011010 => 0101101 => 1010010
[7,1,3,2,5,6,4,8] => 1010010 => 0100101 => 1011010
[6,3,5,2,4,8,1,7] => 1010010 => 0100101 => 1011010
[1,5,2,8,7,4,3,6] => 0101110 => 0111010 => 1000101
[5,7,2,8,1,4,3,6] => 0101010 => 0101010 => 1010101
[4,8,3,1,5,2,7,6] => 0110101 => 1010110 => 0101001
[7,1,5,3,2,6,8,4] => 1011001 => 1001101 => 0110010
[3,1,5,7,8,6,2,4] => 1000110 => 0110001 => 1001110
[8,7,6,5,3,2,1,4,9] => 11111100 => 00111111 => 11000000
[8,7,6,4,3,2,1,5,9] => 11111100 => 00111111 => 11000000
[8,7,5,4,3,2,1,6,9] => 11111100 => 00111111 => 11000000
[8,7,6,5,4,1,2,3,9] => 11111000 => 00011111 => 11100000
[9,8,7,6,5,4,2,1,3,10] => 111111100 => 001111111 => 110000000
[8,7,6,5,2,3,1,4,9] => 11110100 => 00101111 => 11010000
[9,8,7,6,5,3,2,1,4,10] => 111111100 => 001111111 => 110000000
[8,7,6,3,4,2,1,5,9] => 11101100 => 00110111 => 11001000
[9,8,7,6,4,3,2,1,5,10] => 111111100 => 001111111 => 110000000
[8,7,4,5,3,2,1,6,9] => 11011100 => 00111011 => 11000100
[9,8,7,5,4,3,2,1,6,10] => 111111100 => 001111111 => 110000000
[8,5,6,4,3,2,1,7,9] => 10111100 => 00111101 => 11000010
[9,8,6,5,4,3,2,1,7,10] => 111111100 => 001111111 => 110000000
[6,7,5,4,3,2,1,8,9] => 01111100 => 00111110 => 11000001
[8,6,2,3,1,5,7,4] => 1101001 => 1001011 => 0110100
[2,5,1,7,4,8,6,3] => 0101011 => 1101010 => 0010101
[8,6,7,3,5,2,1,4] => 1010110 => 0110101 => 1001010
[1,4,2,7,3,6,8,5] => 0101001 => 1001010 => 0110101
[3,2,1,7,8,5,4,6] => 1100110 => 0110011 => 1001100
[7,3,4,2,1,5,8,6] => 1011001 => 1001101 => 0110010
[1,7,6,3,2,4,8,5] => 0111001 => 1001110 => 0110001
[2,1,6,4,7,8,5,3] => 1010011 => 1100101 => 0011010
[1,6,3,2,4,7,8,5] => 0110001 => 1000110 => 0111001
[1,2,3,7,5,8,4,6] => 0001010 => 0101000 => 1010111
[1,8,5,3,2,4,7,6] => 0111001 => 1001110 => 0110001
[4,7,8,1,5,6,2,3] => 0010010 => 0100100 => 1011011
[3,6,7,1,8,4,2,5] => 0010110 => 0110100 => 1001011
[1,3,7,6,2,4,5,8] => 0011000 => 0001100 => 1110011
[2,7,3,8,4,5,6,1] => 0101001 => 1001010 => 0110101
[7,1,4,3,8,5,6,2] => 1010101 => 1010101 => 0101010
[5,6,2,7,8,3,4,1] => 0100101 => 1010010 => 0101101
[7,4,1,8,5,6,2,3] => 1101010 => 0101011 => 1010100
[7,2,5,8,1,6,3,4] => 1001010 => 0101001 => 1010110
[6,4,8,1,5,7,2,3] => 1010010 => 0100101 => 1011010
[2,7,4,1,3,6,8,5] => 0110001 => 1000110 => 0111001
[5,2,1,8,4,6,7,3] => 1101001 => 1001011 => 0110100
[6,2,1,4,7,5,8,3] => 1100101 => 1010011 => 0101100
[6,8,7,9,5,4,3,2,1] => 01011111 => 11111010 => 00000101
[5,8,7,6,9,4,3,2,1] => 01101111 => 11110110 => 00001001
[4,8,7,6,5,9,3,2,1] => 01110111 => 11101110 => 00010001
[3,8,7,6,5,4,9,2,1] => 01111011 => 11011110 => 00100001
[2,8,7,6,5,4,3,9,1] => 01111101 => 10111110 => 01000001
[1,2,8,4,6,3,5,7] => 0010100 => 0010100 => 1101011
[2,6,1,5,4,7,3,8] => 0101010 => 0101010 => 1010101
[1,2,8,5,4,6,3,7] => 0011010 => 0101100 => 1010011
[1,3,6,8,4,5,7,2] => 0001001 => 1001000 => 0110111
[1,2,8,4,6,3,7,5] => 0010101 => 1010100 => 0101011
[4,6,3,5,7,8,1,2] => 0100010 => 0100010 => 1011101
[2,7,6,5,1,4,8,3] => 0111001 => 1001110 => 0110001
[2,7,4,8,1,3,6,5] => 0101001 => 1001010 => 0110101
[2,3,6,8,4,1,7,5] => 0001101 => 1011000 => 0100111
[1,2,6,8,4,7,5,3] => 0001011 => 1101000 => 0010111
[1,7,2,8,6,3,5,4] => 0101101 => 1011010 => 0100101
[2,3,8,5,4,7,1,6] => 0011010 => 0101100 => 1010011
[1,2,8,4,7,3,5,6] => 0010100 => 0010100 => 1101011
[2,6,1,4,8,3,7,5] => 0100101 => 1010010 => 0101101
[3,7,6,5,2,1,4,8] => 0111100 => 0011110 => 1100001
[2,5,6,1,4,8,7,3] => 0010011 => 1100100 => 0011011
[8,4,2,3,7,1,6,5] => 1100101 => 1010011 => 0101100
[5,2,4,8,7,3,1,6] => 1001110 => 0111001 => 1000110
[3,2,4,6,7,8,1,5] => 1000010 => 0100001 => 1011110
[5,2,6,8,1,3,7,4] => 1001001 => 1001001 => 0110110
[4,8,1,6,3,7,5,2] => 0101011 => 1101010 => 0010101
[7,1,5,2,6,4,3,8] => 1010110 => 0110101 => 1001010
[8,3,5,2,6,1,4,7] => 1010100 => 0010101 => 1101010
[1,8,5,6,2,7,4,3] => 0101011 => 1101010 => 0010101
[4,2,7,6,1,8,5,3] => 1011011 => 1101101 => 0010010
[7,2,4,8,6,3,5,1] => 1001101 => 1011001 => 0100110
[7,3,2,1,8,5,4,6] => 1110110 => 0110111 => 1001000
[7,3,2,1,6,4,8,5] => 1110101 => 1010111 => 0101000
[3,6,5,2,1,8,4,7] => 0111010 => 0101110 => 1010001
[6,7,2,4,3,5,8,1] => 0101001 => 1001010 => 0110101
[4,5,3,7,2,1,6,8] => 0101100 => 0011010 => 1100101
[4,3,8,2,1,5,7,6] => 1011001 => 1001101 => 0110010
[4,3,2,8,1,6,7,5] => 1101001 => 1001011 => 0110100
[4,5,8,3,2,7,1,6] => 0011010 => 0101100 => 1010011
[6,8,5,2,7,3,4,1] => 0110101 => 1010110 => 0101001
[5,4,7,8,2,3,6,1] => 1001001 => 1001001 => 0110110
[4,3,8,2,1,6,7,5] => 1011001 => 1001101 => 0110010
[1,9,2,4,5,6,7,8,3] => 01000001 => 10000010 => 01111101
[9,1,3,4,5,6,7,8,2] => 10000001 => 10000001 => 01111110
[3,5,7,4,6,2,8,1] => 0010101 => 1010100 => 0101011
[5,3,7,6,2,4,8,1] => 1011001 => 1001101 => 0110010
[4,6,7,2,5,3,8,1] => 0010101 => 1010100 => 0101011
[6,4,7,8,3,1,5,2] => 1001101 => 1011001 => 0100110
[8,4,7,3,1,5,6,2] => 1011001 => 1001101 => 0110010
[5,8,1,7,6,4,2,3] => 0101110 => 0111010 => 1000101
[5,6,7,1,8,3,4,2] => 0010101 => 1010100 => 0101011
[7,1,8,6,2,5,4,3] => 1011011 => 1101101 => 0010010
[8,5,1,7,6,4,2,3] => 1101110 => 0111011 => 1000100
[1,5,8,2,6,4,7,3] => 0010101 => 1010100 => 0101011
[1,5,7,4,6,8,3,2] => 0010011 => 1100100 => 0011011
[1,4,7,5,6,8,3,2] => 0010011 => 1100100 => 0011011
[5,6,7,4,8,1,3,2] => 0010101 => 1010100 => 0101011
[8,1,2,6,4,5,7,3] => 1001001 => 1001001 => 0110110
[4,8,1,7,2,5,6,3] => 0101001 => 1001010 => 0110101
[2,6,7,1,5,4,8,3] => 0010101 => 1010100 => 0101011
[3,2,7,6,5,8,1,4] => 1011010 => 0101101 => 1010010
[1,7,3,4,5,8,2,6] => 0100010 => 0100010 => 1011101
[7,1,8,4,5,6,3,2] => 1010011 => 1100101 => 0011010
[10,1,3,4,5,6,7,8,9,2] => 100000001 => 100000001 => 011111110
[1,2,3,4,5,6,7,8,11,9,10] => 0000000010 => 0100000000 => 1011111111
[1,8,3,4,5,6,9,2,7] => 01000010 => 01000010 => 10111101
[8,2,3,4,5,1,9,7,6] => 10001011 => 11010001 => 00101110
[1,2,7,4,5,8,3,6] => 0010010 => 0100100 => 1011011
[8,1,9,4,5,6,7,3,2] => 10100011 => 11000101 => 00111010
[7,9,3,4,5,6,1,8,2] => 01000101 => 10100010 => 01011101
[11,1,3,4,5,6,7,8,9,10,2] => 1000000001 => 1000000001 => 0111111110
[1,2,3,4,5,6,7,8,9,12,10,11] => 00000000010 => 01000000000 => 10111111111
[10,2,3,4,5,6,7,8,11,1,9] => 1000000010 => 0100000001 => 1011111110
[1,9,3,4,5,6,7,10,2,8] => 010000010 => 010000010 => 101111101
[9,2,3,4,5,6,1,10,8,7] => 100001011 => 110100001 => 001011110
[1,2,8,4,5,6,9,3,7] => 00100010 => 01000100 => 10111011
[7,8,3,4,5,2,9,1,6] => 01001010 => 01010010 => 10101101
[8,2,3,4,1,6,9,7,5] => 10010011 => 11001001 => 00110110
[6,7,3,2,5,8,1,4] => 0110010 => 0100110 => 1011001
[8,1,3,9,5,6,7,4,2] => 10010011 => 11001001 => 00110110
[6,1,8,4,5,3,7,2] => 1010101 => 1010101 => 0101010
[7,8,9,4,5,6,3,1,2] => 00100110 => 01100100 => 10011011
[9,1,10,4,5,6,7,8,3,2] => 101000011 => 110000101 => 001111010
[6,9,3,4,5,1,7,8,2] => 01001001 => 10010010 => 01101101
[8,10,3,4,5,6,7,1,9,2] => 010000101 => 101000010 => 010111101
[10,11,3,4,5,6,7,8,9,1,2] => 0100000010 => 0100000010 => 1011111101
[12,1,3,4,5,6,7,8,9,10,11,2] => 10000000001 => 10000000001 => 01111111110
[4,6,2,5,1,8,7,3] => 0101011 => 1101010 => 0010101
[5,1,4,6,2,8,7,3] => 1001011 => 1101001 => 0010110
[7,3,5,2,1,6,8,4] => 1011001 => 1001101 => 0110010
[8,5,1,2,6,3,7,4] => 1100101 => 1010011 => 0101100
[1,5,8,7,4,6,3,2] => 0011011 => 1101100 => 0010011
[5,7,2,1,3,6,8,4] => 0110001 => 1000110 => 0111001
[3,7,2,6,8,1,5,4] => 0100101 => 1010010 => 0101101
[7,4,8,6,5,1,3,2] => 1011101 => 1011101 => 0100010
[2,7,6,8,5,1,4,3] => 0101101 => 1011010 => 0100101
[1,6,4,5,7,3,8,2] => 0100101 => 1010010 => 0101101
[1,5,4,7,8,6,2,3] => 0100110 => 0110010 => 1001101
[7,3,1,6,8,2,5,4] => 1100101 => 1010011 => 0101100
[7,1,6,8,5,2,4,3] => 1001101 => 1011001 => 0100110
[3,5,8,7,6,4,1,2] => 0011110 => 0111100 => 1000011
[1,5,7,8,6,2,4,3] => 0001101 => 1011000 => 0100111
[3,6,2,1,4,7,8,5] => 0110001 => 1000110 => 0111001
[6,8,2,7,5,4,3,1] => 0101111 => 1111010 => 0000101
[5,8,1,7,6,4,3,2] => 0101111 => 1111010 => 0000101
[10,6,1,2,3,4,9,5,7,8] => 110000100 => 001000011 => 110111100
[10,7,1,2,3,4,9,5,6,8] => 110000100 => 001000011 => 110111100
[9,10,1,2,3,4,8,5,6,7] => 010000100 => 001000010 => 110111101
[10,1,5,2,3,4,6,7,8,9] => 101000000 => 000000101 => 111111010
[10,1,2,5,3,4,6,7,8,9] => 100100000 => 000001001 => 111110110
[5,1,2,3,10,4,6,7,8,9] => 100010000 => 000010001 => 111101110
[7,1,2,3,4,5,11,6,8,9,10] => 1000001000 => 0001000001 => 1110111110
[7,6,1,2,3,4,10,9,5,8] => 110000110 => 011000011 => 100111100
[11,1,2,3,4,5,8,6,7,9,10] => 1000001000 => 0001000001 => 1110111110
[9,7,1,2,3,4,8,5,10,6] => 110000101 => 101000011 => 010111100
[11,1,2,3,4,5,9,6,7,8,10] => 1000001000 => 0001000001 => 1110111110
[5,9,1,2,3,4,6,7,10,8] => 010000001 => 100000010 => 011111101
[10,8,4,9,1,2,3,5,6,7] => 110100000 => 000001011 => 111110100
[11,10,5,1,2,3,4,6,7,8,9] => 1110000000 => 0000000111 => 1111111000
[2,10,1,5,3,4,6,7,8,9] => 010100000 => 000001010 => 111110101
[11,10,1,5,2,3,4,6,7,8,9] => 1101000000 => 0000001011 => 1111110100
[3,1,5,2,10,4,6,7,8,9] => 101010000 => 000010101 => 111101010
[5,11,1,2,10,3,4,6,7,8,9] => 0100100000 => 0000010010 => 1111101101
[4,1,2,10,3,5,6,7,8,9] => 100100000 => 000001001 => 111110110
[5,11,1,2,3,10,4,6,7,8,9] => 0100010000 => 0000100010 => 1111011101
[4,1,5,6,7,8,9,2,3] => 10000010 => 01000001 => 10111110
[2,3,4,5,6,7,8,10,11,1,9] => 0000000010 => 0100000000 => 1011111111
[2,3,4,5,8,9,1,6,7] => 00000100 => 00100000 => 11011111
[2,4,5,6,7,8,9,10,11,1,3] => 0000000010 => 0100000000 => 1011111111
[3,4,5,6,7,8,9,10,11,1,2] => 0000000010 => 0100000000 => 1011111111
[8,6,3,2,1,5,4,7] => 1111010 => 0101111 => 1010000
[8,5,3,2,4,1,7,6] => 1110101 => 1010111 => 0101000
[7,5,2,4,3,6,8,1] => 1101001 => 1001011 => 0110100
[8,5,1,4,6,3,2,7] => 1100110 => 0110011 => 1001100
[8,5,1,6,3,4,2,7] => 1101010 => 0101011 => 1010100
[8,4,3,6,1,5,2,7] => 1101010 => 0101011 => 1010100
[8,4,3,5,2,1,7,6] => 1101101 => 1011011 => 0100100
[6,4,3,2,8,7,1,5] => 1110110 => 0110111 => 1001000
[8,5,1,4,3,7,2,6] => 1101010 => 0101011 => 1010100
[8,5,4,2,1,3,7,6] => 1111001 => 1001111 => 0110000
[4,7,3,6,1,8,5,2] => 0101011 => 1101010 => 0010101
[7,6,2,4,1,5,8,3] => 1101001 => 1001011 => 0110100
[8,1,6,3,7,4,2,5] => 1010110 => 0110101 => 1001010
[5,3,8,2,6,7,1,4] => 1010010 => 0100101 => 1011010
[8,2,5,1,7,6,3,4] => 1010110 => 0110101 => 1001010
[8,2,4,6,3,7,1,5] => 1001010 => 0101001 => 1010110
[7,2,6,4,3,5,8,1] => 1011001 => 1001101 => 0110010
[7,3,6,2,4,5,8,1] => 1010001 => 1000101 => 0111010
[8,3,7,2,1,4,6,5] => 1011001 => 1001101 => 0110010
[7,6,4,1,3,2,8,5] => 1110101 => 1010111 => 0101000
[7,3,8,2,1,5,6,4] => 1011001 => 1001101 => 0110010
[6,2,5,7,4,3,8,1] => 1001101 => 1011001 => 0100110
[6,2,5,4,8,7,1,3] => 1010110 => 0110101 => 1001010
[7,2,4,8,5,1,6,3] => 1001101 => 1011001 => 0100110
[4,2,7,6,8,5,1,3] => 1010110 => 0110101 => 1001010
[7,1,6,2,8,5,4,3] => 1010111 => 1110101 => 0001010
[7,1,6,3,8,5,2,4] => 1010110 => 0110101 => 1001010
[7,2,6,8,1,3,5,4] => 1001001 => 1001001 => 0110110
[7,2,8,5,1,3,6,4] => 1011001 => 1001101 => 0110010
[7,1,8,5,3,2,6,4] => 1011101 => 1011101 => 0100010
[7,1,8,2,5,6,4,3] => 1010011 => 1100101 => 0011010
[6,1,5,8,7,2,4,3] => 1001101 => 1011001 => 0100110
[6,1,5,7,4,8,3,2] => 1001011 => 1101001 => 0010110
[6,1,5,7,8,3,4,2] => 1000101 => 1010001 => 0101110
[4,6,7,3,1,8,5,2] => 0011011 => 1101100 => 0010011
[4,2,6,3,1,8,7,5] => 1011011 => 1101101 => 0010010
[6,1,4,2,5,8,7,3] => 1010011 => 1100101 => 0011010
[1,5,3,8,4,6,2,7] => 0101010 => 0101010 => 1010101
[7,2,3,5,8,4,1,6] => 1000110 => 0110001 => 1001110
[7,6,4,2,8,5,1,3] => 1110110 => 0110111 => 1001000
[1,7,6,4,8,5,3,2] => 0110111 => 1110110 => 0001001
[8,7,4,2,1,5,6,3] => 1111001 => 1001111 => 0110000
[8,2,3,5,1,4,6,7] => 1001000 => 0001001 => 1110110
[8,7,4,1,3,2,6,5] => 1110101 => 1010111 => 0101000
[7,1,4,8,3,6,2,5] => 1001010 => 0101001 => 1010110
[4,1,8,5,7,6,2,3] => 1010110 => 0110101 => 1001010
[3,7,5,8,4,2,1,6] => 0101110 => 0111010 => 1000101
[6,1,5,8,3,4,2,7] => 1001010 => 0101001 => 1010110
[6,7,5,1,3,2,4,8] => 0110100 => 0010110 => 1101001
[5,2,6,1,7,3,4,8] => 1010100 => 0010101 => 1101010
[4,2,6,8,3,7,1,5] => 1001010 => 0101001 => 1010110
[6,8,5,1,4,2,3,7] => 0110100 => 0010110 => 1101001
[7,8,4,5,1,3,6,2] => 0101001 => 1001010 => 0110101
[1,7,8,5,3,4,6,2] => 0011001 => 1001100 => 0110011
[1,5,8,3,6,4,7,2] => 0010101 => 1010100 => 0101011
[6,3,8,1,4,2,7,5] => 1010101 => 1010101 => 0101010
[4,8,1,5,6,3,7,2] => 0100101 => 1010010 => 0101101
[1,8,2,6,5,3,7,4] => 0101101 => 1011010 => 0100101
[3,8,1,7,2,6,5,4] => 0101011 => 1101010 => 0010101
[7,3,8,1,2,6,5,4] => 1010011 => 1100101 => 0011010
[8,1,4,2,3,5,7,6] => 1010001 => 1000101 => 0111010
[8,1,2,4,6,5,7,3] => 1000101 => 1010001 => 0101110
[5,1,8,3,7,4,6,2] => 1010101 => 1010101 => 0101010
[8,3,7,1,5,4,6,2] => 1010101 => 1010101 => 0101010
[8,4,7,1,5,3,6,2] => 1010101 => 1010101 => 0101010
[7,2,5,3,4,6,1,8] => 1010010 => 0100101 => 1011010
[7,6,4,2,5,3,1,8] => 1110110 => 0110111 => 1001000
[5,8,4,3,6,2,7,1] => 0110101 => 1010110 => 0101001
[1,7,2,6,3,4,8,5] => 0101001 => 1001010 => 0110101
[7,5,1,6,3,2,4,8] => 1101100 => 0011011 => 1100100
[7,1,2,6,3,4,5,8] => 1001000 => 0001001 => 1110110
[7,2,5,1,6,3,4,8] => 1010100 => 0010101 => 1101010
[7,3,1,4,6,2,5,8] => 1100100 => 0010011 => 1101100
[7,1,6,5,4,2,3,8] => 1011100 => 0011101 => 1100010
[5,8,4,3,1,7,2,6] => 0111010 => 0101110 => 1010001
[3,6,8,5,2,4,7,1] => 0011001 => 1001100 => 0110011
[5,7,8,4,3,2,6,1] => 0011101 => 1011100 => 0100011
[1,3,8,4,7,2,6,5] => 0010101 => 1010100 => 0101011
[3,2,1,4,5,8,6,7] => 1100010 => 0100011 => 1011100
[6,7,1,3,2,8,5,4] => 0101011 => 1101010 => 0010101
[1,5,3,2,6,8,4,7] => 0110010 => 0100110 => 1011001
[3,7,6,5,8,2,4,1] => 0110101 => 1010110 => 0101001
[5,7,4,2,8,6,1,3] => 0110110 => 0110110 => 1001001
[5,4,3,7,8,2,6,1] => 1100101 => 1010011 => 0101100
[3,8,5,7,6,2,4,1] => 0101101 => 1011010 => 0100101
[1,3,6,8,7,2,5,4] => 0001101 => 1011000 => 0100111
[5,8,7,1,4,2,3,6] => 0110100 => 0010110 => 1101001
[2,6,3,7,1,4,5,8] => 0101000 => 0001010 => 1110101
[6,5,1,2,4,7,8,3] => 1100001 => 1000011 => 0111100
[7,6,8,4,3,1,5,2] => 1011101 => 1011101 => 0100010
[1,7,6,5,3,2,4,8] => 0111100 => 0011110 => 1100001
[2,7,6,5,4,1,3,8] => 0111100 => 0011110 => 1100001
[6,2,3,5,8,4,1,7] => 1000110 => 0110001 => 1001110
[4,7,6,1,5,8,3,2] => 0110011 => 1100110 => 0011001
[9,8,7,6,5,4,2,3,1] => 11111101 => 10111111 => 01000000
[2,3,9,8,7,6,5,4,1] => 00111111 => 11111100 => 00000011
[9,1,3,2,4,5,6,7,8] => 10100000 => 00000101 => 11111010
[6,8,7,1,5,4,3,2] => 0110111 => 1110110 => 0001001
[8,7,4,6,5,1,3,2] => 1101101 => 1011011 => 0100100
[9,8,7,1,6,5,4,3,2] => 11101111 => 11110111 => 00001000
[9,8,7,6,1,5,4,3,2] => 11110111 => 11101111 => 00010000
[9,8,7,6,5,1,4,3,2] => 11111011 => 11011111 => 00100000
[9,10,1,8,7,6,5,4,3,2] => 010111111 => 111111010 => 000000101
[10,9,1,8,7,6,5,4,3,2] => 110111111 => 111111011 => 000000100
[10,9,8,1,7,6,5,4,3,2] => 111011111 => 111110111 => 000001000
[10,9,8,7,1,6,5,4,3,2] => 111101111 => 111101111 => 000010000
[10,9,8,7,6,1,5,4,3,2] => 111110111 => 111011111 => 000100000
[10,9,8,7,6,5,1,4,3,2] => 111111011 => 110111111 => 001000000
[10,9,8,7,6,5,4,1,3,2] => 111111101 => 101111111 => 010000000
[3,5,2,4,7,6,9,8,1] => 01001011 => 11010010 => 00101101
[2,4,3,6,5,8,7,1,9] => 01010110 => 01101010 => 10010101
[3,2,5,4,7,6,9,8,1,10] => 101010110 => 011010101 => 100101010
[2,4,3,6,5,8,7,10,9,1] => 010101011 => 110101010 => 001010101
[7,2,6,1,5,8,3,4] => 1010010 => 0100101 => 1011010
[4,7,3,8,6,2,5,1] => 0101101 => 1011010 => 0100101
[4,7,3,6,8,2,1,5] => 0100110 => 0110010 => 1001101
[5,4,7,3,8,2,1,6] => 1010110 => 0110101 => 1001010
[8,7,2,4,6,3,5,1] => 1100101 => 1010011 => 0101100
[4,3,5,7,2,6,1,8] => 1001010 => 0101001 => 1010110
[1,7,2,8,5,4,3,6] => 0101110 => 0111010 => 1000101
[5,4,8,3,6,2,1,7] => 1010110 => 0110101 => 1001010
[6,8,2,5,7,1,4,3] => 0100101 => 1010010 => 0101101
[3,8,6,2,7,5,1,4] => 0110110 => 0110110 => 1001001
[5,8,4,2,7,3,6,1] => 0110101 => 1010110 => 0101001
[8,2,7,3,4,5,1,6] => 1010010 => 0100101 => 1011010
[8,1,5,2,4,6,3,7] => 1010010 => 0100101 => 1011010
[8,6,1,3,4,5,7,2] => 1100001 => 1000011 => 0111100
[8,5,1,2,4,6,7,3] => 1100001 => 1000011 => 0111100
[2,6,8,7,3,4,5,1] => 0011001 => 1001100 => 0110011
[1,7,8,5,6,4,2,3] => 0010110 => 0110100 => 1001011
[8,3,1,2,4,6,7,5] => 1100001 => 1000011 => 0111100
[3,1,7,5,8,2,4,6] => 1010100 => 0010101 => 1101010
[8,1,3,2,4,6,5,7] => 1010010 => 0100101 => 1011010
[8,1,5,6,4,2,3,7] => 1001100 => 0011001 => 1100110
[8,1,6,5,4,3,2,7] => 1011110 => 0111101 => 1000010
[2,6,8,1,5,4,3,7] => 0010110 => 0110100 => 1001011
[5,2,1,7,6,3,8,4] => 1101101 => 1011011 => 0100100
[3,5,8,2,1,4,7,6] => 0011001 => 1001100 => 0110011
[4,2,8,5,3,7,6,1] => 1011011 => 1101101 => 0010010
[4,2,7,5,3,8,6,1] => 1011011 => 1101101 => 0010010
[6,4,5,1,8,3,2,7] => 1010110 => 0110101 => 1001010
[5,4,7,8,3,1,2,6] => 1001100 => 0011001 => 1100110
[4,5,8,1,3,7,2,6] => 0010010 => 0100100 => 1011011
[1,5,3,6,8,7,2,4] => 0100110 => 0110010 => 1001101
[7,6,2,8,1,4,3,5] => 1101010 => 0101011 => 1010100
[4,7,2,6,8,3,5,1] => 0100101 => 1010010 => 0101101
[6,3,2,8,7,4,5,1] => 1101101 => 1011011 => 0100100
[7,4,3,8,5,6,2,1] => 1101011 => 1101011 => 0010100
[3,1,5,8,7,6,2,4] => 1001110 => 0111001 => 1000110
[8,2,1,6,5,7,3,4] => 1101010 => 0101011 => 1010100
[3,1,8,6,5,7,2,4] => 1011010 => 0101101 => 1010010
[1,2,7,6,4,5,8,3] => 0011001 => 1001100 => 0110011
[7,2,6,5,1,8,3,4] => 1011010 => 0101101 => 1010010
[4,2,8,5,6,3,1,7] => 1010110 => 0110101 => 1001010
[4,7,3,2,5,1,6,8] => 0110100 => 0010110 => 1101001
[4,2,5,3,8,7,1,6] => 1010110 => 0110101 => 1001010
[7,2,5,3,8,4,6,1] => 1010101 => 1010101 => 0101010
[3,6,8,1,7,4,5,2] => 0010101 => 1010100 => 0101011
[8,7,3,2,5,4,6,1] => 1110101 => 1010111 => 0101000
[7,5,6,1,8,3,2,4] => 1010110 => 0110101 => 1001010
[4,5,6,2,7,3,1,8] => 0010110 => 0110100 => 1001011
[5,3,4,7,1,6,2,8] => 1001010 => 0101001 => 1010110
[3,5,1,4,6,8,2,7] => 0100010 => 0100010 => 1011101
[8,5,7,4,2,1,3,6] => 1011100 => 0011101 => 1100010
[2,3,7,4,1,8,6,5] => 0011011 => 1101100 => 0010011
[2,4,5,1,8,6,3,7] => 0010110 => 0110100 => 1001011
[2,4,1,6,7,5,3,8] => 0100110 => 0110010 => 1001101
[6,3,7,1,5,2,4,8] => 1010100 => 0010101 => 1101010
[4,1,3,7,8,2,6,5] => 1000101 => 1010001 => 0101110
[7,1,4,8,6,5,2,3] => 1001110 => 0111001 => 1000110
[8,3,4,2,1,7,5,6] => 1011010 => 0101101 => 1010010
[1,4,5,3,8,6,7,2] => 0010101 => 1010100 => 0101011
[4,6,2,7,5,8,1,3] => 0101010 => 0101010 => 1010101
[7,3,2,5,1,8,4,6] => 1101010 => 0101011 => 1010100
[7,8,1,4,2,3,5,6] => 0101000 => 0001010 => 1110101
[6,5,2,4,8,7,1,3] => 1100110 => 0110011 => 1001100
[8,5,2,4,1,3,7,6] => 1101001 => 1001011 => 0110100
[5,1,2,4,3,6,8,7] => 1001001 => 1001001 => 0110110
[5,2,1,4,3,7,6,8] => 1101010 => 0101011 => 1010100
[8,6,2,7,5,3,1,4] => 1101110 => 0111011 => 1000100
[6,2,1,5,8,3,4,7] => 1100100 => 0010011 => 1101100
[2,3,8,7,1,5,4,6] => 0011010 => 0101100 => 1010011
[4,3,8,1,5,2,6,7] => 1010100 => 0010101 => 1101010
[4,1,3,6,7,2,8,5] => 1000101 => 1010001 => 0101110
[7,1,4,5,8,2,6,3] => 1000101 => 1010001 => 0101110
[6,1,3,2,4,5,8,7] => 1010001 => 1000101 => 0111010
[3,5,1,2,4,7,6,9,8] => 01000101 => 10100010 => 01011101
[3,7,8,6,5,1,2,4] => 0011100 => 0011100 => 1100011
[8,4,5,7,2,6,3,1] => 1001011 => 1101001 => 0010110
[4,5,8,2,7,3,1,6] => 0010110 => 0110100 => 1001011
[6,5,8,2,7,3,1,4] => 1010110 => 0110101 => 1001010
[6,4,8,2,7,3,1,5] => 1010110 => 0110101 => 1001010
[7,8,1,3,6,4,2,5] => 0100110 => 0110010 => 1001101
[4,3,8,2,7,5,1,6] => 1010110 => 0110101 => 1001010
[4,5,7,8,3,2,1,6] => 0001110 => 0111000 => 1000111
[5,7,3,4,2,6,8,1] => 0101001 => 1001010 => 0110101
[5,7,4,2,3,6,8,1] => 0110001 => 1000110 => 0111001
[5,4,7,3,2,8,1,6] => 1011010 => 0101101 => 1010010
[6,8,3,2,4,5,1,7] => 0110010 => 0100110 => 1011001
[5,8,3,4,6,1,2,7] => 0100100 => 0010010 => 1101101
[6,4,3,8,5,1,2,7] => 1101100 => 0011011 => 1100100
[6,4,8,2,3,5,1,7] => 1010010 => 0100101 => 1011010
[5,4,6,8,2,3,1,7] => 1001010 => 0101001 => 1010110
[5,6,8,4,1,2,3,7] => 0011000 => 0001100 => 1110011
[6,4,8,5,1,2,3,7] => 1011000 => 0001101 => 1110010
[7,4,8,3,1,2,5,6] => 1011000 => 0001101 => 1110010
[5,7,8,2,3,1,4,6] => 0010100 => 0010100 => 1101011
[5,4,7,8,2,1,3,6] => 1001100 => 0011001 => 1100110
[5,8,6,3,1,2,4,7] => 0111000 => 0001110 => 1110001
[6,8,5,2,1,3,4,7] => 0111000 => 0001110 => 1110001
[5,6,1,3,2,4,8,7] => 0101001 => 1001010 => 0110101
[8,1,5,4,6,2,7,3] => 1010101 => 1010101 => 0101010
[4,3,8,1,2,5,7,6] => 1010001 => 1000101 => 0111010
[4,6,3,2,8,5,7,1] => 0110101 => 1010110 => 0101001
[5,3,7,2,1,8,6,4] => 1011011 => 1101101 => 0010010
[7,4,3,2,5,1,8,6] => 1110101 => 1010111 => 0101000
[5,4,8,3,7,2,1,6] => 1010110 => 0110101 => 1001010
[3,6,8,5,2,1,7,4] => 0011101 => 1011100 => 0100011
[6,1,5,4,7,2,8,3] => 1010101 => 1010101 => 0101010
[1,3,6,5,8,2,7,4] => 0010101 => 1010100 => 0101011
[5,4,8,3,2,7,1,6] => 1011010 => 0101101 => 1010010
[5,4,3,7,8,2,1,6] => 1100110 => 0110011 => 1001100
[3,4,5,6,7,8,2,9,1] => 00000101 => 10100000 => 01011111
[3,4,5,6,7,8,9,2,10,1] => 000000101 => 101000000 => 010111111
[1,4,5,6,7,8,3,9,2] => 00000101 => 10100000 => 01011111
[3,4,5,6,7,2,1,9,8] => 00001101 => 10110000 => 01001111
[2,1,5,6,7,8,9,4,3] => 10000011 => 11000001 => 00111110
[2,4,5,6,7,8,3,1,9] => 00000110 => 01100000 => 10011111
[2,4,5,6,7,8,9,10,3,1] => 000000011 => 110000000 => 001111111
[1,4,8,6,3,2,7,5] => 0011101 => 1011100 => 0100011
[4,1,8,6,2,5,7,3] => 1011001 => 1001101 => 0110010
[6,7,2,5,3,8,4,1] => 0101011 => 1101010 => 0010101
[6,3,4,8,1,2,7,5] => 1001001 => 1001001 => 0110110
[6,2,8,1,7,4,5,3] => 1010101 => 1010101 => 0101010
[2,6,3,1,5,8,7,4] => 0110011 => 1100110 => 0011001
[7,1,3,2,6,5,8,4] => 1010101 => 1010101 => 0101010
[8,7,6,4,5,3,2,9,1] => 11101101 => 10110111 => 01001000
[2,9,8,7,5,6,4,3,1] => 01110111 => 11101110 => 00010001
[1,3,5,8,4,7,2,6] => 0001010 => 0101000 => 1010111
[2,3,8,7,5,1,6,4] => 0011101 => 1011100 => 0100011
[4,1,3,5,6,2,8,7] => 1000101 => 1010001 => 0101110
[6,4,8,7,3,5,2,1] => 1011011 => 1101101 => 0010010
[8,2,3,5,6,1,4,7] => 1000100 => 0010001 => 1101110
[3,8,2,7,6,4,1,5] => 0101110 => 0111010 => 1000101
[4,3,8,6,2,7,1,5] => 1011010 => 0101101 => 1010010
[8,3,4,5,1,6,7,2] => 1001001 => 1001001 => 0110110
[7,8,1,5,6,3,2,4] => 0100110 => 0110010 => 1001101
[1,7,8,3,2,5,4,6] => 0011010 => 0101100 => 1010011
[7,8,1,3,2,5,6,4] => 0101001 => 1001010 => 0110101
[7,8,1,3,5,4,6,2] => 0100101 => 1010010 => 0101101
[7,8,1,3,5,2,4,6] => 0100100 => 0010010 => 1101101
[1,3,7,8,5,2,4,6] => 0001100 => 0011000 => 1100111
[1,7,8,3,5,2,6,4] => 0010101 => 1010100 => 0101011
[1,7,8,3,2,5,6,4] => 0011001 => 1001100 => 0110011
[3,7,8,5,4,6,1,2] => 0011010 => 0101100 => 1010011
[3,5,7,6,4,8,1,2] => 0011010 => 0101100 => 1010011
[1,3,7,8,5,4,6,2] => 0001101 => 1011000 => 0100111
[1,3,7,8,5,4,2,6] => 0001110 => 0111000 => 1000111
[1,3,7,8,2,5,4,6] => 0001010 => 0101000 => 1010111
[1,3,2,7,8,5,4,6] => 0100110 => 0110010 => 1001101
[1,5,7,6,8,3,2,4] => 0010110 => 0110100 => 1001011
[3,5,4,7,8,6,1,2] => 0100110 => 0110010 => 1001101
[3,5,7,6,8,4,1,2] => 0010110 => 0110100 => 1001011
[1,5,7,6,8,3,4,2] => 0010101 => 1010100 => 0101011
[3,5,7,4,6,8,1,2] => 0010010 => 0100100 => 1011011
[6,5,8,4,3,7,1,2] => 1011010 => 0101101 => 1010010
[6,7,3,1,5,2,4,8] => 0110100 => 0010110 => 1101001
[5,2,4,1,8,3,6,7] => 1010100 => 0010101 => 1101010
[2,1,7,4,3,8,5,6] => 1011010 => 0101101 => 1010010
[7,2,3,8,5,4,1,6] => 1001110 => 0111001 => 1000110
[4,1,5,7,6,3,8,2] => 1001101 => 1011001 => 0100110
[3,2,5,4,7,6,1,10,8,9] => 101011010 => 010110101 => 101001010
[3,2,5,4,9,8,6,7,1,10] => 101011010 => 010110101 => 101001010
[3,2,5,4,1,8,6,10,7,9] => 101101010 => 010101101 => 101010010
[3,2,5,4,1,10,9,6,7,8] => 101101100 => 001101101 => 110010010
[3,2,7,6,4,5,9,8,1,10] => 101100110 => 011001101 => 100110010
[3,2,7,6,4,5,1,10,8,9] => 101101010 => 010101101 => 101010010
[3,2,9,6,4,8,5,7,1,10] => 101101010 => 010101101 => 101010010
[3,2,1,6,4,8,5,10,7,9] => 110101010 => 010101011 => 101010100
[3,2,1,6,4,10,9,5,7,8] => 110101100 => 001101011 => 110010100
[3,2,9,8,7,4,5,6,1,10] => 101110010 => 010011101 => 101100010
[3,2,1,8,7,4,5,10,6,9] => 110110010 => 010011011 => 101100100
[3,2,1,10,7,4,9,5,6,8] => 110110100 => 001011011 => 110100100
[3,2,1,10,9,8,4,5,6,7] => 110111000 => 000111011 => 111000100
[5,4,2,3,7,6,9,8,1,10] => 110010110 => 011010011 => 100101100
[5,4,2,3,7,6,1,10,8,9] => 110011010 => 010110011 => 101001100
[5,4,2,3,9,8,6,7,1,10] => 110011010 => 010110011 => 101001100
[5,4,2,3,1,8,6,10,7,9] => 110101010 => 010101011 => 101010100
[5,4,2,3,1,10,9,6,7,8] => 110101100 => 001101011 => 110010100
[7,4,2,6,3,5,9,8,1,10] => 110100110 => 011001011 => 100110100
[7,4,2,6,3,5,1,10,8,9] => 110101010 => 010101011 => 101010100
[9,4,2,6,3,8,5,7,1,10] => 110101010 => 010101011 => 101010100
[1,4,2,6,3,8,5,10,7,9] => 010101010 => 010101010 => 101010101
[1,4,2,6,3,10,9,5,7,8] => 010101100 => 001101010 => 110010101
[9,4,2,8,7,3,5,6,1,10] => 110110010 => 010011011 => 101100100
[1,4,2,8,7,3,5,10,6,9] => 010110010 => 010011010 => 101100101
[1,4,2,10,7,3,9,5,6,8] => 010110100 => 001011010 => 110100101
[1,4,2,10,9,8,3,5,6,7] => 010111000 => 000111010 => 111000101
[7,6,5,2,3,4,9,8,1,10] => 111000110 => 011000111 => 100111000
[7,6,5,2,3,4,1,10,8,9] => 111001010 => 010100111 => 101011000
[9,6,5,2,3,8,4,7,1,10] => 111001010 => 010100111 => 101011000
[1,6,5,2,3,8,4,10,7,9] => 011001010 => 010100110 => 101011001
[1,6,5,2,3,10,9,4,7,8] => 011001100 => 001100110 => 110011001
[9,8,5,2,7,3,4,6,1,10] => 111010010 => 010010111 => 101101000
[1,8,5,2,7,3,4,10,6,9] => 011010010 => 010010110 => 101101001
[1,10,5,2,7,3,9,4,6,8] => 011010100 => 001010110 => 110101001
[1,10,5,2,9,8,3,4,6,7] => 011011000 => 000110110 => 111001001
[9,8,7,6,2,3,4,5,1,10] => 111100010 => 010001111 => 101110000
[1,8,7,6,2,3,4,10,5,9] => 011100010 => 010001110 => 101110001
[1,10,7,6,2,3,9,4,5,8] => 011100100 => 001001110 => 110110001
[1,10,9,6,2,8,3,4,5,7] => 011101000 => 000101110 => 111010001
[1,10,9,8,7,2,3,4,5,6] => 011110000 => 000011110 => 111100001
[3,2,5,4,7,6,9,8,11,10,1,12] => 10101010110 => 01101010101 => 10010101010
[3,2,5,4,11,10,9,6,7,8,1,12] => 10101110010 => 01001110101 => 10110001010
[3,2,5,4,1,12,9,6,11,7,8,10] => 10110110100 => 00101101101 => 11010010010
[3,2,1,6,4,8,5,10,7,12,9,11] => 11010101010 => 01010101011 => 10101010100
[3,2,1,6,4,8,5,12,11,7,9,10] => 11010101100 => 00110101011 => 11001010100
[3,2,1,6,4,10,9,5,7,12,8,11] => 11010110010 => 01001101011 => 10110010100
[3,2,1,6,4,12,9,5,11,7,8,10] => 11010110100 => 00101101011 => 11010010100
[3,2,1,6,4,12,11,10,5,7,8,9] => 11010111000 => 00011101011 => 11100010100
[3,2,9,8,7,4,5,6,11,10,1,12] => 10111000110 => 01100011101 => 10011100010
[3,2,1,8,7,4,5,10,6,12,9,11] => 11011001010 => 01010011011 => 10101100100
[3,2,1,8,7,4,5,12,11,6,9,10] => 11011001100 => 00110011011 => 11001100100
[3,2,1,10,7,4,9,5,6,12,8,11] => 11011010010 => 01001011011 => 10110100100
[3,2,1,12,7,4,9,5,11,6,8,10] => 11011010100 => 00101011011 => 11010100100
[3,2,1,12,7,4,11,10,5,6,8,9] => 11011011000 => 00011011011 => 11100100100
[3,2,11,10,9,8,4,5,6,7,1,12] => 10111100010 => 01000111101 => 10111000010
[3,2,1,10,9,8,4,5,6,12,7,11] => 11011100010 => 01000111011 => 10111000100
[3,2,1,12,9,8,4,5,11,6,7,10] => 11011100100 => 00100111011 => 11011000100
[3,2,1,12,11,8,4,10,5,6,7,9] => 11011101000 => 00010111011 => 11101000100
[3,2,1,12,11,10,9,4,5,6,7,8] => 11011110000 => 00001111011 => 11110000100
[5,4,2,3,7,6,1,12,11,8,9,10] => 11001101100 => 00110110011 => 11001001100
[5,4,2,3,9,8,6,7,11,10,1,12] => 11001100110 => 01100110011 => 10011001100
[5,4,2,3,1,8,6,10,7,12,9,11] => 11010101010 => 01010101011 => 10101010100
[5,4,2,3,1,8,6,12,11,7,9,10] => 11010101100 => 00110101011 => 11001010100
[5,4,2,3,11,10,9,6,7,8,1,12] => 11001110010 => 01001110011 => 10110001100
[5,4,2,3,1,10,9,6,7,12,8,11] => 11010110010 => 01001101011 => 10110010100
[5,4,2,3,1,12,9,6,11,7,8,10] => 11010110100 => 00101101011 => 11010010100
[5,4,2,3,1,12,11,10,6,7,8,9] => 11010111000 => 00011101011 => 11100010100
[7,4,2,6,3,5,1,10,8,12,9,11] => 11010101010 => 01010101011 => 10101010100
[7,4,2,6,3,5,1,12,11,8,9,10] => 11010101100 => 00110101011 => 11001010100
[9,4,2,6,3,8,5,7,1,12,10,11] => 11010101010 => 01010101011 => 10101010100
[11,4,2,6,3,8,5,10,7,9,1,12] => 11010101010 => 01010101011 => 10101010100
[1,4,2,6,3,8,5,10,7,12,9,11] => 01010101010 => 01010101010 => 10101010101
[11,4,2,6,3,10,9,5,7,8,1,12] => 11010110010 => 01001101011 => 10110010100
[9,4,2,8,7,3,5,6,1,12,10,11] => 11011001010 => 01010011011 => 10101100100
[11,4,2,8,7,3,5,10,6,9,1,12] => 11011001010 => 01010011011 => 10101100100
[11,4,2,10,7,3,9,5,6,8,1,12] => 11011010010 => 01001011011 => 10110100100
[11,4,2,10,9,8,3,5,6,7,1,12] => 11011100010 => 01000111011 => 10111000100
[1,4,2,12,11,8,3,10,5,6,7,9] => 01011101000 => 00010111010 => 11101000101
[1,4,2,12,11,10,9,3,5,6,7,8] => 01011110000 => 00001111010 => 11110000101
[7,6,5,2,3,4,1,10,8,12,9,11] => 11100101010 => 01010100111 => 10101011000
[7,6,5,2,3,4,1,12,11,8,9,10] => 11100101100 => 00110100111 => 11001011000
[9,6,5,2,3,8,4,7,1,12,10,11] => 11100101010 => 01010100111 => 10101011000
[11,6,5,2,3,8,4,10,7,9,1,12] => 11100101010 => 01010100111 => 10101011000
[11,6,5,2,3,10,9,4,7,8,1,12] => 11100110010 => 01001100111 => 10110011000
[9,8,5,2,7,3,4,6,1,12,10,11] => 11101001010 => 01010010111 => 10101101000
[11,8,5,2,7,3,4,10,6,9,1,12] => 11101001010 => 01010010111 => 10101101000
[11,10,5,2,7,3,9,4,6,8,1,12] => 11101010010 => 01001010111 => 10110101000
[11,10,5,2,9,8,3,4,6,7,1,12] => 11101100010 => 01000110111 => 10111001000
[1,12,5,2,11,10,9,3,4,6,7,8] => 01101110000 => 00001110110 => 11110001001
[9,8,7,6,2,3,4,5,11,10,1,12] => 11110000110 => 01100001111 => 10011110000
[9,8,7,6,2,3,4,5,1,12,10,11] => 11110001010 => 01010001111 => 10101110000
[11,8,7,6,2,3,4,10,5,9,1,12] => 11110001010 => 01010001111 => 10101110000
[11,10,7,6,2,3,9,4,5,8,1,12] => 11110010010 => 01001001111 => 10110110000
[11,10,9,6,2,8,3,4,5,7,1,12] => 11110100010 => 01000101111 => 10111010000
[1,12,11,6,2,8,3,10,4,5,7,9] => 01110101000 => 00010101110 => 11101010001
[1,12,11,6,2,10,9,3,4,5,7,8] => 01110110000 => 00001101110 => 11110010001
[11,10,9,8,7,2,3,4,5,6,1,12] => 11111000010 => 01000011111 => 10111100000
[1,12,11,10,9,8,2,3,4,5,6,7] => 01111100000 => 00000111110 => 11111000001
[1,4,8,2,3,6,5,7] => 0010010 => 0100100 => 1011011
[1,4,6,7,3,5,2,8] => 0001010 => 0101000 => 1010111
[1,4,8,2,6,7,5,3] => 0010011 => 1100100 => 0011011
[1,7,3,2,4,5,6,8] => 0110000 => 0000110 => 1111001
[1,7,3,2,4,5,8,6] => 0110001 => 1000110 => 0111001
[1,6,4,3,2,5,7,8] => 0111000 => 0001110 => 1110001
[4,2,6,5,3,1,7,8] => 1011100 => 0011101 => 1100010
[5,2,1,6,8,7,4,3] => 1100111 => 1110011 => 0001100
[1,3,5,8,6,2,7,4] => 0001101 => 1011000 => 0100111
[2,3,8,4,1,7,6,5] => 0011011 => 1101100 => 0010011
[3,7,8,5,4,2,6,1] => 0011101 => 1011100 => 0100011
[8,3,2,7,5,6,1,4] => 1101010 => 0101011 => 1010100
[1,3,8,5,7,4,2,6] => 0010110 => 0110100 => 1001011
[1,2,3,7,5,4,6,8] => 0001100 => 0011000 => 1100111
[1,4,2,8,6,3,5,7] => 0101100 => 0011010 => 1100101
[2,8,6,3,5,7,4,1] => 0110011 => 1100110 => 0011001
[6,1,8,2,5,3,4,7] => 1010100 => 0010101 => 1101010
[3,8,6,4,2,7,1,5] => 0111010 => 0101110 => 1010001
[1,5,4,2,3,6,8,7] => 0110001 => 1000110 => 0111001
[6,1,5,2,3,4,8,7] => 1010001 => 1000101 => 0111010
[6,5,2,1,7,3,4,8] => 1110100 => 0010111 => 1101000
[3,1,2,4,8,6,7,5] => 1000101 => 1010001 => 0101110
[3,1,2,5,8,7,4,6] => 1000110 => 0110001 => 1001110
[6,5,2,1,8,4,7,3] => 1110101 => 1010111 => 0101000
[3,7,5,2,8,1,4,6] => 0110100 => 0010110 => 1101001
[5,1,4,7,3,2,8,6] => 1001101 => 1011001 => 0100110
[4,1,5,8,6,2,3,7] => 1001100 => 0011001 => 1100110
[5,4,8,6,3,7,1,2] => 1011010 => 0101101 => 1010010
[6,5,2,3,1,8,7,4] => 1101011 => 1101011 => 0010100
[5,7,4,8,3,1,6,2] => 0101101 => 1011010 => 0100101
[3,1,4,7,5,2,8,6] => 1001101 => 1011001 => 0100110
[4,3,5,1,8,7,2,6] => 1010110 => 0110101 => 1001010
[2,5,3,6,1,8,4,7] => 0101010 => 0101010 => 1010101
[2,5,6,8,3,1,7,4] => 0001101 => 1011000 => 0100111
[7,1,4,5,3,6,2,8] => 1001010 => 0101001 => 1010110
[1,7,2,4,5,3,6,8] => 0100100 => 0010010 => 1101101
[1,7,4,5,3,2,6,8] => 0101100 => 0011010 => 1100101
[1,6,4,7,3,5,2,8] => 0101010 => 0101010 => 1010101
[3,5,6,4,8,2,1,7] => 0010110 => 0110100 => 1001011
[1,6,4,7,5,2,3,8] => 0101100 => 0011010 => 1100101
[1,5,2,6,7,4,3,8] => 0100110 => 0110010 => 1001101
[8,5,6,1,4,3,7,2] => 1010101 => 1010101 => 0101010
[2,5,4,7,8,3,1,6] => 0100110 => 0110010 => 1001101
[6,4,5,8,2,3,1,7] => 1001010 => 0101001 => 1010110
[8,6,1,3,2,5,7,4] => 1101001 => 1001011 => 0110100
[7,5,8,1,4,6,3,2] => 1010011 => 1100101 => 0011010
[4,2,6,7,8,1,5,3] => 1000101 => 1010001 => 0101110
[3,4,6,7,8,1,5,2] => 0000101 => 1010000 => 0101111
[4,7,3,8,5,1,6,2] => 0101101 => 1011010 => 0100101
[4,3,2,7,5,8,1,6] => 1101010 => 0101011 => 1010100
[4,8,5,3,2,6,1,7] => 0111010 => 0101110 => 1010001
[2,8,4,5,3,6,1,7] => 0101010 => 0101010 => 1010101
[8,1,5,3,2,4,7,6] => 1011001 => 1001101 => 0110010
[7,8,4,1,3,6,5,2] => 0110011 => 1100110 => 0011001
[8,6,1,3,2,7,4,5] => 1101010 => 0101011 => 1010100
[7,3,8,2,4,1,6,5] => 1010101 => 1010101 => 0101010
[6,2,3,7,8,1,5,4] => 1000101 => 1010001 => 0101110
[6,3,7,8,1,5,4,2] => 1001011 => 1101001 => 0010110
[2,6,3,7,8,1,5,4] => 0100101 => 1010010 => 0101101
[7,5,8,1,6,4,2,3] => 1010110 => 0110101 => 1001010
[8,1,4,3,7,5,6,2] => 1010101 => 1010101 => 0101010
[1,4,8,5,3,2,6,7] => 0011100 => 0011100 => 1100011
[8,2,7,6,4,1,5,3] => 1011101 => 1011101 => 0100010
[2,7,4,3,8,5,1,6] => 0110110 => 0110110 => 1001001
[6,8,2,7,3,1,5,4] => 0101101 => 1011010 => 0100101
[8,2,6,3,4,1,7,5] => 1010101 => 1010101 => 0101010
[6,1,2,8,5,3,7,4] => 1001101 => 1011001 => 0100110
[4,1,5,8,3,6,7,2] => 1001001 => 1001001 => 0110110
[7,5,2,8,1,6,3,4] => 1101010 => 0101011 => 1010100
[4,8,5,7,1,3,2,6] => 0101010 => 0101010 => 1010101
[3,4,7,2,1,5,8,6] => 0011001 => 1001100 => 0110011
[4,8,2,7,1,3,6,5] => 0101001 => 1001010 => 0110101
[5,2,1,8,7,4,6,3] => 1101101 => 1011011 => 0100100
[8,2,1,7,4,6,3,5] => 1101010 => 0101011 => 1010100
[4,2,5,8,3,6,7,1] => 1001001 => 1001001 => 0110110
[5,1,6,8,3,2,7,4] => 1001101 => 1011001 => 0100110
[4,1,5,6,8,2,7,3] => 1000101 => 1010001 => 0101110
[5,7,8,2,4,1,3,6] => 0010100 => 0010100 => 1101011
[4,5,2,8,7,3,1,6] => 0101110 => 0111010 => 1000101
[4,8,5,3,1,6,7,2] => 0111001 => 1001110 => 0110001
[6,2,3,1,7,8,5,4] => 1010011 => 1100101 => 0011010
[5,2,3,6,8,4,7,1] => 1000101 => 1010001 => 0101110
[6,2,1,7,8,4,3,5] => 1100110 => 0110011 => 1001100
[5,2,1,3,8,4,7,6] => 1100101 => 1010011 => 0101100
[5,2,7,8,4,1,6,3] => 1001101 => 1011001 => 0100110
[6,2,7,8,3,5,4,1] => 1001011 => 1101001 => 0010110
[5,2,8,6,4,1,7,3] => 1011101 => 1011101 => 0100010
[5,1,2,8,4,3,7,6] => 1001101 => 1011001 => 0100110
[6,7,8,3,2,5,4,1] => 0011011 => 1101100 => 0010011
[5,7,2,6,4,8,1,3] => 0101010 => 0101010 => 1010101
[6,2,3,4,7,8,5,1] => 1000011 => 1100001 => 0011110
[7,2,1,8,4,3,5,6] => 1101100 => 0011011 => 1100100
[6,2,1,3,7,5,8,4] => 1100101 => 1010011 => 0101100
[6,8,7,3,4,5,1,2] => 0110010 => 0100110 => 1011001
[6,2,3,7,8,1,4,5] => 1000100 => 0010001 => 1101110
[7,4,3,2,5,8,1,6] => 1110010 => 0100111 => 1011000
[7,2,4,3,5,8,1,6] => 1010010 => 0100101 => 1011010
[1,7,6,4,2,3,5,8] => 0111000 => 0001110 => 1110001
[1,3,2,5,8,6,4,7] => 0100110 => 0110010 => 1001101
[6,1,4,7,2,8,5,3] => 1001011 => 1101001 => 0010110
[1,7,5,8,4,2,3,6] => 0101100 => 0011010 => 1100101
[1,6,7,2,4,8,5,3] => 0010011 => 1100100 => 0011011
[5,7,2,4,3,6,8,1] => 0101001 => 1001010 => 0110101
[5,7,3,4,6,2,8,1] => 0100101 => 1010010 => 0101101
[2,8,3,6,1,7,4,5] => 0101010 => 0101010 => 1010101
[4,3,1,8,5,2,6,7] => 1101100 => 0011011 => 1100100
[1,8,4,5,6,2,7,3] => 0100101 => 1010010 => 0101101
[7,3,8,2,1,4,5,6] => 1011000 => 0001101 => 1110010
[8,2,5,3,1,7,4,6] => 1011010 => 0101101 => 1010010
[6,3,5,8,1,7,4,2] => 1001011 => 1101001 => 0010110
[3,5,4,8,6,1,7,2] => 0101101 => 1011010 => 0100101
[7,5,2,3,8,4,6,1] => 1100101 => 1010011 => 0101100
[2,7,5,1,4,8,3,6] => 0110010 => 0100110 => 1011001
[5,7,6,1,2,8,3,4] => 0110010 => 0100110 => 1011001
[7,4,6,5,1,8,2,3] => 1011010 => 0101101 => 1010010
[7,1,3,2,6,8,4,5] => 1010010 => 0100101 => 1011010
[4,3,5,2,8,1,6,7] => 1010100 => 0010101 => 1101010
[1,7,3,8,2,4,6,5] => 0101001 => 1001010 => 0110101
[2,7,4,8,5,3,1,6] => 0101110 => 0111010 => 1000101
[6,1,3,8,4,2,7,5] => 1001101 => 1011001 => 0100110
[5,4,1,8,6,2,7,3] => 1101101 => 1011011 => 0100100
[5,4,6,8,1,3,2,7] => 1001010 => 0101001 => 1010110
[3,6,1,5,8,4,7,2] => 0100101 => 1010010 => 0101101
[6,4,8,3,5,7,2,1] => 1010011 => 1100101 => 0011010
[3,5,8,2,4,1,7,6] => 0010101 => 1010100 => 0101011
[7,2,8,4,1,3,6,5] => 1011001 => 1001101 => 0110010
[5,8,1,2,4,3,6,7] => 0100100 => 0010010 => 1101101
[8,4,3,5,7,2,6,1] => 1100101 => 1010011 => 0101100
[4,1,5,2,3,8,7,6] => 1010011 => 1100101 => 0011010
[6,3,5,8,2,4,7,1] => 1001001 => 1001001 => 0110110
[2,8,7,1,4,6,3,5] => 0110010 => 0100110 => 1011001
[1,8,5,3,7,4,2,6] => 0110110 => 0110110 => 1001001
[7,5,6,2,8,4,3,1] => 1010111 => 1110101 => 0001010
[5,7,6,2,8,1,4,3] => 0110101 => 1010110 => 0101001
[6,3,8,1,2,5,4,7] => 1010010 => 0100101 => 1011010
[7,6,4,8,5,3,2,1] => 1101111 => 1111011 => 0000100
[7,6,5,3,8,4,2,1] => 1110111 => 1110111 => 0001000
[7,6,5,4,2,8,3,1] => 1111011 => 1101111 => 0010000
[8,6,9,7,5,4,3,2,1] => 10111111 => 11111101 => 00000010
[7,5,4,8,6,3,2,1] => 1101111 => 1111011 => 0000100
[8,7,5,9,6,4,3,2,1] => 11011111 => 11111011 => 00000100
[8,7,6,4,9,5,3,2,1] => 11101111 => 11110111 => 00001000
[7,6,5,3,2,8,4,1] => 1111011 => 1101111 => 0010000
[8,7,6,5,3,9,4,2,1] => 11110111 => 11101111 => 00010000
[8,7,6,5,4,2,9,3,1] => 11111011 => 11011111 => 00100000
[3,2,5,4,7,6,1,10,9,8] => 101011011 => 110110101 => 001001010
[3,2,5,4,9,8,7,6,1,10] => 101011110 => 011110101 => 100001010
[3,2,5,4,1,8,7,10,9,6] => 101101011 => 110101101 => 001010010
[3,2,5,4,1,10,9,8,7,6] => 101101111 => 111101101 => 000010010
[3,2,7,6,5,4,9,8,1,10] => 101110110 => 011011101 => 100100010
[3,2,7,6,5,4,1,10,9,8] => 101111011 => 110111101 => 001000010
[3,2,9,6,5,8,7,4,1,10] => 101101110 => 011101101 => 100010010
[3,2,1,6,5,8,7,10,9,4] => 110101011 => 110101011 => 001010100
[3,2,1,6,5,10,9,8,7,4] => 110101111 => 111101011 => 000010100
[3,2,1,8,7,6,5,10,9,4] => 110111011 => 110111011 => 001000100
[3,2,1,10,7,6,9,8,5,4] => 110110111 => 111011011 => 000100100
[5,4,3,2,7,6,9,8,1,10] => 111010110 => 011010111 => 100101000
[5,4,3,2,7,6,1,10,9,8] => 111011011 => 110110111 => 001001000
[5,4,3,2,9,8,7,6,1,10] => 111011110 => 011110111 => 100001000
[5,4,3,2,1,8,7,10,9,6] => 111101011 => 110101111 => 001010000
[7,4,3,6,5,2,9,8,1,10] => 110110110 => 011011011 => 100100100
[7,4,3,6,5,2,1,10,9,8] => 110111011 => 110111011 => 001000100
[9,4,3,6,5,8,7,2,1,10] => 110101110 => 011101011 => 100010100
[1,4,3,6,5,8,7,10,9,2] => 010101011 => 110101010 => 001010101
[1,4,3,6,5,10,9,8,7,2] => 010101111 => 111101010 => 000010101
[9,4,3,8,7,6,5,2,1,10] => 110111110 => 011111011 => 100000100
[1,4,3,8,7,6,5,10,9,2] => 010111011 => 110111010 => 001000101
[1,4,3,10,7,6,9,8,5,2] => 010110111 => 111011010 => 000100101
[1,4,3,10,9,8,7,6,5,2] => 010111111 => 111111010 => 000000101
[7,6,5,4,3,2,9,8,1,10] => 111110110 => 011011111 => 100100000
[9,6,5,4,3,8,7,2,1,10] => 111101110 => 011101111 => 100010000
[1,6,5,4,3,8,7,10,9,2] => 011101011 => 110101110 => 001010001
[1,6,5,4,3,10,9,8,7,2] => 011101111 => 111101110 => 000010001
[9,8,5,4,7,6,3,2,1,10] => 111011110 => 011110111 => 100001000
[1,8,5,4,7,6,3,10,9,2] => 011011011 => 110110110 => 001001001
[1,10,5,4,7,6,9,8,3,2] => 011010111 => 111010110 => 000101001
[1,10,5,4,9,8,7,6,3,2] => 011011111 => 111110110 => 000001001
[1,10,7,6,5,4,9,8,3,2] => 011110111 => 111011110 => 000100001
[1,10,9,6,5,8,7,4,3,2] => 011101111 => 111101110 => 000010001
[3,2,5,4,7,6,11,10,9,8,1,12] => 10101011110 => 01111010101 => 10000101010
[3,2,5,4,7,6,1,12,11,10,9,8] => 10101101111 => 11110110101 => 00001001010
[3,2,5,4,1,8,7,12,11,10,9,6] => 10110101111 => 11110101101 => 00001010010
[3,2,5,4,11,10,9,8,7,6,1,12] => 10101111110 => 01111110101 => 10000001010
[3,2,5,4,1,10,9,8,7,12,11,6] => 10110111011 => 11011101101 => 00100010010
[3,2,5,4,1,12,9,8,11,10,7,6] => 10110110111 => 11101101101 => 00010010010
[3,2,5,4,1,12,11,10,9,8,7,6] => 10110111111 => 11111101101 => 00000010010
[3,2,7,6,5,4,9,8,1,12,11,10] => 10111011011 => 11011011101 => 00100100010
[3,2,7,6,5,4,11,10,9,8,1,12] => 10111011110 => 01111011101 => 10000100010
[3,2,7,6,5,4,1,12,11,10,9,8] => 10111101111 => 11110111101 => 00001000010
[3,2,9,6,5,8,7,4,1,12,11,10] => 10110111011 => 11011101101 => 00100010010
[3,2,1,6,5,8,7,12,11,10,9,4] => 11010101111 => 11110101011 => 00001010100
[3,2,11,6,5,10,9,8,7,4,1,12] => 10110111110 => 01111101101 => 10000010010
[3,2,1,6,5,10,9,8,7,12,11,4] => 11010111011 => 11011101011 => 00100010100
[3,2,1,6,5,12,9,8,11,10,7,4] => 11010110111 => 11101101011 => 00010010100
[3,2,1,6,5,12,11,10,9,8,7,4] => 11010111111 => 11111101011 => 00000010100
[3,2,9,8,7,6,5,4,11,10,1,12] => 10111110110 => 01101111101 => 10010000010
[3,2,9,8,7,6,5,4,1,12,11,10] => 10111111011 => 11011111101 => 00100000010
[3,2,11,8,7,6,5,10,9,4,1,12] => 10111101110 => 01110111101 => 10001000010
[3,2,1,8,7,6,5,10,9,12,11,4] => 11011101011 => 11010111011 => 00101000100
[3,2,1,8,7,6,5,12,11,10,9,4] => 11011101111 => 11110111011 => 00001000100
[3,2,11,10,7,6,9,8,5,4,1,12] => 10111011110 => 01111011101 => 10000100010
[3,2,1,10,7,6,9,8,5,12,11,4] => 11011011011 => 11011011011 => 00100100100
[3,2,1,12,7,6,9,8,11,10,5,4] => 11011010111 => 11101011011 => 00010100100
[3,2,1,12,7,6,11,10,9,8,5,4] => 11011011111 => 11111011011 => 00000100100
[3,2,11,10,9,8,7,6,5,4,1,12] => 10111111110 => 01111111101 => 10000000010
[3,2,1,12,9,8,7,6,11,10,5,4] => 11011110111 => 11101111011 => 00010000100
[3,2,1,12,11,8,7,10,9,6,5,4] => 11011101111 => 11110111011 => 00001000100
[3,2,1,12,11,10,9,8,7,6,5,4] => 11011111111 => 11111111011 => 00000000100
[5,4,3,2,7,6,9,8,1,12,11,10] => 11101011011 => 11011010111 => 00100101000
[5,4,3,2,7,6,11,10,9,8,1,12] => 11101011110 => 01111010111 => 10000101000
[5,4,3,2,7,6,1,10,9,12,11,8] => 11101101011 => 11010110111 => 00101001000
[5,4,3,2,7,6,1,12,11,10,9,8] => 11101101111 => 11110110111 => 00001001000
[5,4,3,2,9,8,7,6,1,12,11,10] => 11101111011 => 11011110111 => 00100001000
[5,4,3,2,1,8,7,12,11,10,9,6] => 11110101111 => 11110101111 => 00001010000
[5,4,3,2,11,10,9,8,7,6,1,12] => 11101111110 => 01111110111 => 10000001000
[5,4,3,2,1,10,9,8,7,12,11,6] => 11110111011 => 11011101111 => 00100010000
[5,4,3,2,1,12,9,8,11,10,7,6] => 11110110111 => 11101101111 => 00010010000
[5,4,3,2,1,12,11,10,9,8,7,6] => 11110111111 => 11111101111 => 00000010000
[7,4,3,6,5,2,9,8,1,12,11,10] => 11011011011 => 11011011011 => 00100100100
[7,4,3,6,5,2,1,10,9,12,11,8] => 11011101011 => 11010111011 => 00101000100
[7,4,3,6,5,2,1,12,11,10,9,8] => 11011101111 => 11110111011 => 00001000100
[9,4,3,6,5,8,7,2,1,12,11,10] => 11010111011 => 11011101011 => 00100010100
[1,4,3,6,5,8,7,10,9,12,11,2] => 01010101011 => 11010101010 => 00101010101
[1,4,3,6,5,8,7,12,11,10,9,2] => 01010101111 => 11110101010 => 00001010101
[11,4,3,6,5,10,9,8,7,2,1,12] => 11010111110 => 01111101011 => 10000010100
[1,4,3,6,5,12,9,8,11,10,7,2] => 01010110111 => 11101101010 => 00010010101
[1,4,3,6,5,12,11,10,9,8,7,2] => 01010111111 => 11111101010 => 00000010101
[1,4,3,8,7,6,5,12,11,10,9,2] => 01011101111 => 11110111010 => 00001000101
[1,4,3,12,7,6,9,8,11,10,5,2] => 01011010111 => 11101011010 => 00010100101
[1,4,3,12,7,6,11,10,9,8,5,2] => 01011011111 => 11111011010 => 00000100101
[11,4,3,10,9,8,7,6,5,2,1,12] => 11011111110 => 01111111011 => 10000000100
[1,4,3,12,9,8,7,6,11,10,5,2] => 01011110111 => 11101111010 => 00010000101
[1,4,3,12,11,8,7,10,9,6,5,2] => 01011101111 => 11110111010 => 00001000101
[1,4,3,12,11,10,9,8,7,6,5,2] => 01011111111 => 11111111010 => 00000000101
[7,6,5,4,3,2,9,8,11,10,1,12] => 11111010110 => 01101011111 => 10010100000
[7,6,5,4,3,2,11,10,9,8,1,12] => 11111011110 => 01111011111 => 10000100000
[7,6,5,4,3,2,1,10,9,12,11,8] => 11111101011 => 11010111111 => 00101000000
[7,6,5,4,3,2,1,12,11,10,9,8] => 11111101111 => 11110111111 => 00001000000
[9,6,5,4,3,8,7,2,1,12,11,10] => 11110111011 => 11011101111 => 00100010000
[11,6,5,4,3,8,7,10,9,2,1,12] => 11110101110 => 01110101111 => 10001010000
[1,6,5,4,3,8,7,12,11,10,9,2] => 01110101111 => 11110101110 => 00001010001
[11,6,5,4,3,10,9,8,7,2,1,12] => 11110111110 => 01111101111 => 10000010000
[1,6,5,4,3,10,9,8,7,12,11,2] => 01110111011 => 11011101110 => 00100010001
[1,6,5,4,3,12,9,8,11,10,7,2] => 01110110111 => 11101101110 => 00010010001
[1,6,5,4,3,12,11,10,9,8,7,2] => 01110111111 => 11111101110 => 00000010001
[9,8,5,4,7,6,3,2,1,12,11,10] => 11101111011 => 11011110111 => 00100001000
[1,8,5,4,7,6,3,12,11,10,9,2] => 01101101111 => 11110110110 => 00001001001
[11,10,5,4,7,6,9,8,3,2,1,12] => 11101011110 => 01111010111 => 10000101000
[1,12,5,4,7,6,9,8,11,10,3,2] => 01101010111 => 11101010110 => 00010101001
[1,12,5,4,7,6,11,10,9,8,3,2] => 01101011111 => 11111010110 => 00000101001
[11,10,5,4,9,8,7,6,3,2,1,12] => 11101111110 => 01111110111 => 10000001000
[1,12,5,4,9,8,7,6,11,10,3,2] => 01101110111 => 11101110110 => 00010001001
[1,12,5,4,11,8,7,10,9,6,3,2] => 01101101111 => 11110110110 => 00001001001
[1,12,5,4,11,10,9,8,7,6,3,2] => 01101111111 => 11111110110 => 00000001001
[9,8,7,6,5,4,3,2,11,10,1,12] => 11111110110 => 01101111111 => 10010000000
[9,8,7,6,5,4,3,2,1,12,11,10] => 11111111011 => 11011111111 => 00100000000
[11,8,7,6,5,4,3,10,9,2,1,12] => 11111101110 => 01110111111 => 10001000000
[1,8,7,6,5,4,3,12,11,10,9,2] => 01111101111 => 11110111110 => 00001000001
[11,10,7,6,5,4,9,8,3,2,1,12] => 11111011110 => 01111011111 => 10000100000
[1,12,7,6,5,4,9,8,11,10,3,2] => 01111010111 => 11101011110 => 00010100001
[1,12,7,6,5,4,11,10,9,8,3,2] => 01111011111 => 11111011110 => 00000100001
[11,10,9,6,5,8,7,4,3,2,1,12] => 11110111110 => 01111101111 => 10000010000
[1,10,9,6,5,8,7,4,3,12,11,2] => 01110111011 => 11011101110 => 00100010001
[1,12,9,6,5,8,7,4,11,10,3,2] => 01110110111 => 11101101110 => 00010010001
[1,12,11,6,5,8,7,10,9,4,3,2] => 01110101111 => 11110101110 => 00001010001
[1,12,11,6,5,10,9,8,7,4,3,2] => 01110111111 => 11111101110 => 00000010001
[11,10,9,8,7,6,5,4,3,2,1,12] => 11111111110 => 01111111111 => 10000000000
[1,10,9,8,7,6,5,4,3,12,11,2] => 01111111011 => 11011111110 => 00100000001
[1,12,9,8,7,6,5,4,11,10,3,2] => 01111110111 => 11101111110 => 00010000001
[1,12,11,8,7,6,5,10,9,4,3,2] => 01111101111 => 11110111110 => 00001000001
[1,12,11,10,7,6,9,8,5,4,3,2] => 01111011111 => 11111011110 => 00000100001
[1,12,11,10,9,8,7,6,5,4,3,2] => 01111111111 => 11111111110 => 00000000001
[1,5,7,2,4,3,6,8] => 0010100 => 0010100 => 1101011
[1,6,5,3,2,4,7,8] => 0111000 => 0001110 => 1110001
[1,7,2,4,6,5,3,8] => 0100110 => 0110010 => 1001101
[1,4,7,2,6,5,3,8] => 0010110 => 0110100 => 1001011
[1,2,6,8,7,4,3,5] => 0001110 => 0111000 => 1000111
[1,2,7,4,3,5,8,6] => 0011001 => 1001100 => 0110011
[1,6,2,8,7,4,3,5] => 0101110 => 0111010 => 1000101
[1,7,4,2,3,5,8,6] => 0110001 => 1000110 => 0111001
[1,8,5,2,3,6,4,7] => 0110010 => 0100110 => 1011001
[1,7,4,8,5,2,3,6] => 0101100 => 0011010 => 1100101
[1,4,7,5,2,8,6,3] => 0011011 => 1101100 => 0010011
[1,6,3,7,4,2,8,5] => 0101101 => 1011010 => 0100101
[1,8,5,2,7,4,3,6] => 0110110 => 0110110 => 1001001
[1,4,8,7,5,3,2,6] => 0011110 => 0111100 => 1000011
[1,2,5,8,6,3,7,4] => 0001101 => 1011000 => 0100111
[1,2,4,7,5,8,6,3] => 0001011 => 1101000 => 0010111
[1,5,8,7,6,2,4,3] => 0011101 => 1011100 => 0100011
[1,3,5,8,7,6,2,4] => 0001110 => 0111000 => 1000111
[1,5,2,4,3,6,8,7] => 0101001 => 1001010 => 0110101
[1,6,8,7,5,3,2,4] => 0011110 => 0111100 => 1000011
[1,2,5,7,4,3,8,6] => 0001101 => 1011000 => 0100111
[1,5,3,2,6,8,7,4] => 0110011 => 1100110 => 0011001
[1,4,2,6,8,7,5,3] => 0100111 => 1110010 => 0001101
[1,5,8,6,3,2,7,4] => 0011101 => 1011100 => 0100011
[1,8,5,2,6,3,4,7] => 0110100 => 0010110 => 1101001
[1,7,4,6,3,2,8,5] => 0101101 => 1011010 => 0100101
[1,6,3,2,8,5,4,7] => 0110110 => 0110110 => 1001001
[1,3,8,6,4,2,5,7] => 0011100 => 0011100 => 1100011
[1,5,7,4,2,3,8,6] => 0011001 => 1001100 => 0110011
[6,3,7,5,4,2,8,1] => 1011101 => 1011101 => 0100010
[7,5,2,6,3,4,8,1] => 1101001 => 1001011 => 0110100
[3,8,2,7,5,4,1,6] => 0101110 => 0111010 => 1000101
[5,4,8,6,7,1,2,3] => 1010100 => 0010101 => 1101010
[2,7,3,6,8,5,4,1] => 0100111 => 1110010 => 0001101
[3,7,2,8,1,6,4,5] => 0101010 => 0101010 => 1010101
[8,5,2,4,6,7,3,1] => 1100011 => 1100011 => 0011100
[2,5,8,7,1,4,3,6] => 0011010 => 0101100 => 1010011
[3,4,6,5,8,2,7,1] => 0010101 => 1010100 => 0101011
[5,2,4,1,6,7,8,3] => 1010001 => 1000101 => 0111010
[4,2,7,1,6,8,3,5] => 1010010 => 0100101 => 1011010
[5,2,8,6,4,7,1,3] => 1011010 => 0101101 => 1010010
[6,1,3,4,7,2,8,5] => 1000101 => 1010001 => 0101110
[8,4,7,2,5,3,1,6] => 1010110 => 0110101 => 1001010
[8,3,4,5,2,1,7,6] => 1001101 => 1011001 => 0100110
[8,6,1,4,7,3,5,2] => 1100101 => 1010011 => 0101100
[5,3,6,7,2,8,4,1] => 1001011 => 1101001 => 0010110
[5,3,6,7,2,4,8,1] => 1001001 => 1001001 => 0110110
[8,6,4,2,7,1,5,3] => 1110101 => 1010111 => 0101000
[8,6,1,4,7,5,2,3] => 1100110 => 0110011 => 1001100
[1,5,8,2,6,7,4,3] => 0010011 => 1100100 => 0011011
[7,1,3,6,5,2,8,4] => 1001101 => 1011001 => 0100110
[8,2,1,4,5,7,6,3] => 1100011 => 1100011 => 0011100
[1,4,7,5,2,3,8,6] => 0011001 => 1001100 => 0110011
[6,1,7,5,4,2,8,3] => 1011101 => 1011101 => 0100010
[2,7,3,6,5,1,8,4] => 0101101 => 1011010 => 0100101
[8,6,5,1,3,7,4,2] => 1110011 => 1100111 => 0011000
[5,7,6,2,4,8,1,3] => 0110010 => 0100110 => 1011001
[3,7,5,6,4,8,1,2] => 0101010 => 0101010 => 1010101
[7,6,8,1,3,5,4,2] => 1010011 => 1100101 => 0011010
[2,8,4,6,1,7,5,3] => 0101011 => 1101010 => 0010101
[2,8,6,4,7,3,5,1] => 0110101 => 1010110 => 0101001
[8,7,1,4,6,5,3,2] => 1100111 => 1110011 => 0001100
[3,5,8,6,7,1,4,2] => 0010101 => 1010100 => 0101011
[1,2,4,6,8,5,3,7] => 0000110 => 0110000 => 1001111
[3,1,5,8,6,2,4,7] => 1001100 => 0011001 => 1100110
[2,5,4,6,8,1,3,7] => 0100100 => 0010010 => 1101101
[6,5,2,4,7,8,1,3] => 1100010 => 0100011 => 1011100
[7,2,5,8,6,4,1,3] => 1001110 => 0111001 => 1000110
[5,2,8,3,4,7,6,1] => 1010011 => 1100101 => 0011010
[2,4,3,8,7,1,6,5] => 0101101 => 1011010 => 0100101
[1,5,8,7,4,2,6,3] => 0011101 => 1011100 => 0100011
[6,8,7,5,4,3,1,2] => 0111110 => 0111110 => 1000001
[5,6,4,7,3,8,2,9,1] => 01010101 => 10101010 => 01010101
[5,6,4,7,3,9,2,8,1] => 01010101 => 10101010 => 01010101
[5,3,4,8,6,2,7,1] => 1001101 => 1011001 => 0100110
[5,4,6,3,7,2,8,1,9] => 10101010 => 01010101 => 10101010
[6,5,7,4,8,3,9,2,10,1] => 101010101 => 101010101 => 010101010
[6,5,7,4,8,3,10,2,9,1] => 101010101 => 101010101 => 010101010
[3,4,5,8,6,2,7,1] => 0001101 => 1011000 => 0100111
[5,6,4,7,3,8,2,9,1,10] => 010101010 => 010101010 => 101010101
[5,4,2,3,6,1,8,7] => 1100101 => 1010011 => 0101100
[5,1,7,4,3,6,8,2] => 1011001 => 1001101 => 0110010
[4,3,7,6,8,2,1,5] => 1010110 => 0110101 => 1001010
[8,1,4,7,2,3,5,6] => 1001000 => 0001001 => 1110110
[6,1,8,5,2,7,3,4] => 1011010 => 0101101 => 1010010
[8,7,2,6,3,1,4,5] => 1101100 => 0011011 => 1100100
[8,7,1,6,4,5,2,3] => 1101010 => 0101011 => 1010100
[5,4,1,3,7,2,8,6] => 1100101 => 1010011 => 0101100
[8,3,4,7,6,2,1,5] => 1001110 => 0111001 => 1000110
[3,1,8,7,5,2,4,6] => 1011100 => 0011101 => 1100010
[6,5,8,7,2,4,3,1] => 1011011 => 1101101 => 0010010
[4,3,6,5,8,2,1,7] => 1010110 => 0110101 => 1001010
[7,6,3,2,8,5,4,1] => 1110111 => 1110111 => 0001000
[3,2,6,8,7,1,4,5] => 1001100 => 0011001 => 1100110
[4,3,7,1,8,5,2,6] => 1010110 => 0110101 => 1001010
[3,2,8,5,6,7,1,4] => 1010010 => 0100101 => 1011010
[8,3,2,1,4,7,5,6] => 1110010 => 0100111 => 1011000
[4,7,3,1,8,5,2,6] => 0110110 => 0110110 => 1001001
[3,7,8,2,5,6,1,4] => 0010010 => 0100100 => 1011011
[7,5,1,4,2,3,6,8] => 1101000 => 0001011 => 1110100
[7,8,6,1,2,4,5,3] => 0110001 => 1000110 => 0111001
[1,5,3,4,7,8,6,2] => 0100011 => 1100010 => 0011101
[5,1,2,4,7,8,6,3] => 1000011 => 1100001 => 0011110
[5,1,7,8,6,2,3,4] => 1001100 => 0011001 => 1100110
[8,5,1,6,7,2,3,4] => 1100100 => 0010011 => 1101100
[7,5,1,2,4,6,8,3] => 1100001 => 1000011 => 0111100
[6,1,5,2,7,3,4,8] => 1010100 => 0010101 => 1101010
[7,1,2,6,4,5,8,3] => 1001001 => 1001001 => 0110110
[1,7,3,6,4,5,8,2] => 0101001 => 1001010 => 0110101
[1,8,3,6,4,5,7,2] => 0101001 => 1001010 => 0110101
[8,1,6,2,7,3,4,5] => 1010100 => 0010101 => 1101010
[7,1,6,2,5,3,4,8] => 1010100 => 0010101 => 1101010
[8,1,6,2,5,3,4,7] => 1010100 => 0010101 => 1101010
[8,1,7,2,5,3,4,6] => 1010100 => 0010101 => 1101010
[8,1,2,7,4,5,6,3] => 1001001 => 1001001 => 0110110
[1,8,3,7,4,5,6,2] => 0101001 => 1001010 => 0110101
[8,1,6,7,5,2,3,4] => 1001100 => 0011001 => 1100110
[7,3,1,2,6,4,5,8] => 1100100 => 0010011 => 1101100
[3,1,2,8,5,6,7,4] => 1001001 => 1001001 => 0110110
[6,3,1,2,7,4,5,8] => 1100100 => 0010011 => 1101100
[6,1,7,4,2,3,5,8] => 1011000 => 0001101 => 1110010
[1,7,3,4,6,8,5,2] => 0100011 => 1100010 => 0011101
[1,7,3,8,4,5,6,2] => 0101001 => 1001010 => 0110101
[7,1,8,2,5,3,4,6] => 1010100 => 0010101 => 1101010
[6,1,7,2,5,3,4,8] => 1010100 => 0010101 => 1101010
[5,1,7,2,6,3,4,8] => 1010100 => 0010101 => 1101010
[5,1,8,2,6,3,4,7] => 1010100 => 0010101 => 1101010
[1,6,3,7,4,5,8,2] => 0101001 => 1001010 => 0110101
[2,4,7,3,5,1,6,8] => 0010100 => 0010100 => 1101011
[2,4,8,6,3,5,1,7] => 0011010 => 0101100 => 1010011
[2,3,7,5,4,1,6,8] => 0011100 => 0011100 => 1100011
[3,4,6,2,1,5,8,7] => 0011001 => 1001100 => 0110011
[3,4,7,2,1,6,5,8] => 0011010 => 0101100 => 1010011
[2,6,8,3,5,1,4,7] => 0010100 => 0010100 => 1101011
[2,3,6,1,5,8,4,7] => 0010010 => 0100100 => 1011011
[2,3,7,1,6,5,8,4] => 0010101 => 1010100 => 0101011
[2,4,7,1,3,6,8,5] => 0010001 => 1000100 => 0111011
[5,4,7,8,1,3,2,6] => 1001010 => 0101001 => 1010110
[2,5,7,1,4,6,3,8] => 0010010 => 0100100 => 1011011
[2,4,7,1,6,3,5,8] => 0010100 => 0010100 => 1101011
[2,3,7,1,6,5,4,8] => 0010110 => 0110100 => 1001011
[2,5,7,1,4,3,6,8] => 0010100 => 0010100 => 1101011
[2,5,7,3,1,4,6,8] => 0011000 => 0001100 => 1110011
[3,4,7,2,1,6,8,5] => 0011001 => 1001100 => 0110011
[4,6,3,7,1,5,2,8] => 0101010 => 0101010 => 1010101
[5,7,3,2,8,1,4,6] => 0110100 => 0010110 => 1101001
[2,6,5,7,1,8,4,3] => 0101011 => 1101010 => 0010101
[3,6,8,5,4,1,7,2] => 0011101 => 1011100 => 0100011
[5,4,7,8,1,3,6,2] => 1001001 => 1001001 => 0110110
[2,5,7,1,4,6,8,3] => 0010001 => 1000100 => 0111011
[2,4,7,1,6,3,8,5] => 0010101 => 1010100 => 0101011
[2,4,7,1,6,8,3,5] => 0010010 => 0100100 => 1011011
[2,4,8,3,1,7,6,5] => 0011011 => 1101100 => 0010011
[1,8,3,4,5,6,7,9,2] => 01000001 => 10000010 => 01111101
[7,2,3,4,5,6,1,9,8] => 10000101 => 10100001 => 01011110
[2,1,9,4,5,6,7,8,3] => 10100001 => 10000101 => 01111010
[2,8,3,4,5,6,7,1,9] => 01000010 => 01000010 => 10111101
[8,6,5,1,2,4,3,7] => 1110010 => 0100111 => 1011000
[7,6,1,4,2,3,5,8] => 1101000 => 0001011 => 1110100
[6,5,1,4,8,3,2,7] => 1100110 => 0110011 => 1001100
[8,7,1,4,3,2,5,6] => 1101100 => 0011011 => 1100100
[8,7,5,1,4,2,3,6] => 1110100 => 0010111 => 1101000
[8,4,1,2,5,3,6,7] => 1100100 => 0010011 => 1101100
[8,6,1,4,2,5,3,7] => 1101010 => 0101011 => 1010100
[8,7,1,4,3,2,6,5] => 1101101 => 1011011 => 0100100
[8,7,6,3,1,5,4,2] => 1111011 => 1101111 => 0010000
[2,8,3,7,4,5,6,1] => 0101001 => 1001010 => 0110101
[8,7,5,2,4,3,6,1] => 1110101 => 1010111 => 0101000
[2,9,1,8,7,6,5,4,3] => 01011111 => 11111010 => 00000101
[2,9,8,1,7,6,5,4,3] => 01101111 => 11110110 => 00001001
[4,2,5,7,3,1,6,8] => 1001100 => 0011001 => 1100110
[8,2,4,5,3,1,6,7] => 1001100 => 0011001 => 1100110
[8,4,5,1,3,2,6,7] => 1010100 => 0010101 => 1101010
[4,3,7,5,2,1,6,8] => 1011100 => 0011101 => 1100010
[1,6,7,4,3,2,5,8] => 0011100 => 0011100 => 1100011
[1,4,5,7,3,2,6,8] => 0001100 => 0011000 => 1100111
[3,5,1,4,7,2,6,8] => 0100100 => 0010010 => 1101101
[2,5,1,4,7,8,3,6] => 0100010 => 0100010 => 1011101
[4,3,7,1,5,2,6,8] => 1010100 => 0010101 => 1101010
[3,5,1,6,4,2,7,8] => 0101100 => 0011010 => 1100101
[6,4,3,1,7,2,5,8] => 1110100 => 0010111 => 1101000
[6,2,7,4,3,1,5,8] => 1011100 => 0011101 => 1100010
[2,6,4,1,7,3,5,8] => 0110100 => 0010110 => 1101001
[6,3,2,7,4,5,1,8] => 1101010 => 0101011 => 1010100
[7,2,4,1,3,6,8,5] => 1010001 => 1000101 => 0111010
[6,3,2,5,7,1,4,8] => 1100100 => 0010011 => 1101100
[3,2,6,5,7,1,4,8] => 1010100 => 0010101 => 1101010
[1,7,3,2,5,6,4,8] => 0110010 => 0100110 => 1011001
[2,1,7,3,5,6,8,4] => 1010001 => 1000101 => 0111010
[2,1,6,3,5,7,8,4] => 1010001 => 1000101 => 0111010
[1,6,3,2,5,7,4,8] => 0110010 => 0100110 => 1011001
[1,4,6,5,2,7,3,8] => 0011010 => 0101100 => 1010011
[5,6,2,1,4,3,7,8] => 0110100 => 0010110 => 1101001
[2,5,1,6,4,3,7,8] => 0101100 => 0011010 => 1100101
[2,5,4,1,6,3,7,8] => 0110100 => 0010110 => 1101001
[4,6,1,5,2,7,3,8] => 0101010 => 0101010 => 1010101
[1,6,5,3,7,2,4,8] => 0110100 => 0010110 => 1101001
[1,2,5,4,7,3,6,8] => 0010100 => 0010100 => 1101011
[1,2,5,3,4,8,7,6] => 0010011 => 1100100 => 0011011
[5,2,7,6,1,8,4,3] => 1011011 => 1101101 => 0010010
[5,8,2,6,1,7,4,3] => 0101011 => 1101010 => 0010101
[1,7,8,2,4,6,5,3] => 0010011 => 1100100 => 0011011
[1,5,8,3,6,2,7,4] => 0010101 => 1010100 => 0101011
[6,8,7,1,4,5,2,3] => 0110010 => 0100110 => 1011001
[1,2,6,4,7,3,8,5] => 0010101 => 1010100 => 0101011
[1,2,7,8,3,5,6,4] => 0001001 => 1001000 => 0110111
[4,8,7,6,2,1,5,3] => 0111101 => 1011110 => 0100001
[2,7,4,5,8,1,6,3] => 0100101 => 1010010 => 0101101
[2,6,1,8,5,4,3,7] => 0101110 => 0111010 => 1000101
[5,8,6,2,3,4,1,7] => 0110010 => 0100110 => 1011001
[4,5,8,6,2,1,3,7] => 0011100 => 0011100 => 1100011
[6,4,7,5,8,2,1,3] => 1010110 => 0110101 => 1001010
[6,3,7,4,2,5,8,1] => 1011001 => 1001101 => 0110010
[6,2,1,5,8,4,3,7] => 1100110 => 0110011 => 1001100
[7,5,6,2,4,3,8,1] => 1010101 => 1010101 => 0101010
[4,6,2,5,7,3,8,1] => 0100101 => 1010010 => 0101101
[4,2,8,5,3,6,1,7] => 1011010 => 0101101 => 1010010
[8,1,7,4,5,6,2,3] => 1010010 => 0100101 => 1011010
[2,1,7,8,4,5,6,3] => 1001001 => 1001001 => 0110110
[8,2,1,4,3,7,6,5] => 1101011 => 1101011 => 0010100
[7,6,5,3,1,2,8,4] => 1111001 => 1001111 => 0110000
[5,4,1,6,2,8,3,7] => 1101010 => 0101011 => 1010100
[6,2,3,1,7,8,4,5] => 1010010 => 0100101 => 1011010
[3,1,8,6,7,2,4,5] => 1010100 => 0010101 => 1101010
[4,2,5,1,8,6,7,3] => 1010101 => 1010101 => 0101010
[4,5,3,7,1,6,8,2] => 0101001 => 1001010 => 0110101
[4,2,8,5,3,6,7,1] => 1011001 => 1001101 => 0110010
[2,8,6,3,5,4,7,1] => 0110101 => 1010110 => 0101001
[3,5,2,8,6,4,7,1] => 0101101 => 1011010 => 0100101
[7,3,5,1,6,4,8,2] => 1010101 => 1010101 => 0101010
[5,1,4,7,2,6,8,3] => 1001001 => 1001001 => 0110110
[1,8,2,5,6,4,7,3] => 0100101 => 1010010 => 0101101
[2,7,1,4,8,5,6,3] => 0100101 => 1010010 => 0101101
[2,8,4,6,1,3,7,5] => 0101001 => 1001010 => 0110101
[8,4,6,2,5,3,7,1] => 1010101 => 1010101 => 0101010
[8,3,7,6,2,1,5,4] => 1011101 => 1011101 => 0100010
[8,5,2,7,6,1,4,3] => 1101101 => 1011011 => 0100100
[5,8,2,7,6,1,4,3] => 0101101 => 1011010 => 0100101
[8,3,7,6,2,5,1,4] => 1011010 => 0101101 => 1010010
[7,3,8,6,5,1,4,2] => 1011101 => 1011101 => 0100010
[9,8,7,6,1,2,3,4,5,10] => 111100000 => 000001111 => 111110000
[2,6,3,7,5,4,8,1] => 0101101 => 1011010 => 0100101
[5,4,7,1,3,8,6,2] => 1010011 => 1100101 => 0011010
[2,8,5,1,4,7,3,6] => 0110010 => 0100110 => 1011001
[8,1,4,2,5,7,3,6] => 1010010 => 0100101 => 1011010
[7,2,6,5,8,4,3,1] => 1010111 => 1110101 => 0001010
[3,4,8,5,6,2,7,1] => 0010101 => 1010100 => 0101011
[5,8,2,3,4,6,1,7] => 0100010 => 0100010 => 1011101
[6,1,3,4,2,5,7,8] => 1001000 => 0001001 => 1110110
[1,5,6,3,2,4,7,8] => 0011000 => 0001100 => 1110011
[6,3,5,2,4,1,7,8] => 1010100 => 0010101 => 1101010
[7,8,3,5,2,4,6,1] => 0101001 => 1001010 => 0110101
[2,4,5,7,3,6,1,8] => 0001010 => 0101000 => 1010111
[2,5,3,1,6,4,7,8] => 0110100 => 0010110 => 1101001
[6,5,1,3,4,2,7,8] => 1100100 => 0010011 => 1101100
[5,7,4,3,2,6,1,8] => 0111010 => 0101110 => 1010001
[6,8,7,4,3,5,1,2] => 0111010 => 0101110 => 1010001
[2,6,7,8,4,3,5,1] => 0001101 => 1011000 => 0100111
[1,7,8,4,5,3,6,2] => 0010101 => 1010100 => 0101011
[7,1,8,5,3,4,6,2] => 1011001 => 1001101 => 0110010
[5,7,4,2,1,6,3,8] => 0111010 => 0101110 => 1010001
[5,1,4,7,3,6,2,8] => 1001010 => 0101001 => 1010110
[7,4,8,6,3,5,2,1] => 1011011 => 1101101 => 0010010
[4,7,6,3,5,2,1,8] => 0110110 => 0110110 => 1001001
[1,6,5,8,7,4,2,3] => 0101110 => 0111010 => 1000101
[6,1,3,8,7,5,2,4] => 1001110 => 0111001 => 1000110
[7,6,2,1,8,3,5,4] => 1110101 => 1010111 => 0101000
[7,1,3,6,8,2,5,4] => 1000101 => 1010001 => 0101110
[1,7,5,6,8,2,4,3] => 0100101 => 1010010 => 0101101
[3,6,7,5,8,2,4,1] => 0010101 => 1010100 => 0101011
[1,7,4,5,2,8,6,3] => 0101011 => 1101010 => 0010101
[7,5,4,2,1,8,6,3] => 1111011 => 1101111 => 0010000
[3,6,7,4,2,8,5,1] => 0011011 => 1101100 => 0010011
[4,6,3,2,7,8,5,1] => 0110011 => 1100110 => 0011001
[7,6,1,3,4,2,5,8] => 1100100 => 0010011 => 1101100
[7,8,2,6,4,5,3,1] => 0101011 => 1101010 => 0010101
[7,2,5,4,6,1,3,8] => 1010100 => 0010101 => 1101010
[7,1,2,4,5,6,3,8] => 1000010 => 0100001 => 1011110
[7,3,2,1,5,6,4,8] => 1110010 => 0100111 => 1011000
[3,6,2,1,7,5,4,8] => 0110110 => 0110110 => 1001001
[2,6,7,3,1,5,4,8] => 0011010 => 0101100 => 1010011
[2,1,6,4,7,5,3,8] => 1010110 => 0110101 => 1001010
[7,2,8,5,6,4,3,1] => 1010111 => 1110101 => 0001010
[7,6,8,5,4,1,3,2] => 1011101 => 1011101 => 0100010
[7,1,8,4,6,5,3,2] => 1010111 => 1110101 => 0001010
[7,8,6,3,1,5,4,2] => 0111011 => 1101110 => 0010001
[7,6,1,4,5,3,2,8] => 1100110 => 0110011 => 1001100
[7,1,5,6,4,3,2,8] => 1001110 => 0111001 => 1000110
[4,1,3,8,6,2,7,5] => 1001101 => 1011001 => 0100110
[5,1,2,8,4,6,7,3] => 1001001 => 1001001 => 0110110
[5,6,3,2,8,1,7,4] => 0110101 => 1010110 => 0101001
[8,2,6,3,1,5,7,4] => 1011001 => 1001101 => 0110010
[8,2,5,6,7,4,3,1] => 1000111 => 1110001 => 0001110
[8,2,5,3,4,7,6,1] => 1010011 => 1100101 => 0011010
[7,5,3,2,4,1,8,6] => 1110101 => 1010111 => 0101000
[7,1,2,3,6,8,4,5] => 1000010 => 0100001 => 1011110
[6,7,2,8,3,4,5,1] => 0101001 => 1001010 => 0110101
[3,1,8,4,6,5,7,2] => 1010101 => 1010101 => 0101010
[6,1,2,3,8,4,7,5] => 1000101 => 1010001 => 0101110
[8,1,6,7,4,2,3,5] => 1001100 => 0011001 => 1100110
[8,1,6,4,5,2,3,7] => 1010100 => 0010101 => 1101010
[8,6,4,7,2,3,5,1] => 1101001 => 1001011 => 0110100
[8,6,4,1,2,3,7,5] => 1110001 => 1000111 => 0111000
[8,6,1,4,2,5,7,3] => 1101001 => 1001011 => 0110100
[8,6,7,4,2,5,1,3] => 1011010 => 0101101 => 1010010
[8,6,4,2,5,3,7,1] => 1110101 => 1010111 => 0101000
[8,6,4,2,5,3,1,7] => 1110110 => 0110111 => 1001000
[8,6,4,2,7,3,1,5] => 1110110 => 0110111 => 1001000
[8,6,4,1,5,7,2,3] => 1110010 => 0100111 => 1011000
[8,6,4,2,1,5,7,3] => 1111001 => 1001111 => 0110000
[8,6,4,2,1,7,3,5] => 1111010 => 0101111 => 1010000
[8,6,1,4,7,2,5,3] => 1100101 => 1010011 => 0101100
[8,6,4,1,5,2,3,7] => 1110100 => 0010111 => 1101000
[8,6,7,1,4,5,2,3] => 1010010 => 0100101 => 1011010
[8,6,4,5,2,7,3,1] => 1101011 => 1101011 => 0010100
[8,6,7,4,2,1,5,3] => 1011101 => 1011101 => 0100010
[8,6,4,7,2,1,5,3] => 1101101 => 1011011 => 0100100
[8,6,4,2,5,7,3,1] => 1110011 => 1100111 => 0011000
[8,6,4,2,5,1,7,3] => 1110101 => 1010111 => 0101000
[8,6,4,2,5,7,1,3] => 1110010 => 0100111 => 1011000
[3,4,7,5,8,2,6,1] => 0010101 => 1010100 => 0101011
[8,7,1,4,6,5,2,3] => 1100110 => 0110011 => 1001100
[8,3,7,6,4,5,1,2] => 1011010 => 0101101 => 1010010
[5,3,8,6,4,1,7,2] => 1011101 => 1011101 => 0100010
[8,10,1,2,3,4,5,9,6,7] => 010000010 => 010000010 => 101111101
[10,8,1,9,2,3,4,5,6,7] => 110100000 => 000001011 => 111110100
[8,7,1,2,3,4,5,9,10,6] => 110000001 => 100000011 => 011111100
[10,11,1,9,2,3,4,5,6,7,8] => 0101000000 => 0000001010 => 1111110101
[6,1,2,3,4,5,7,8,9] => 10000000 => 00000001 => 11111110
[5,1,2,3,4,6,7,8,9] => 10000000 => 00000001 => 11111110
[4,1,2,3,5,6,7,8,9] => 10000000 => 00000001 => 11111110
[2,10,1,5,6,7,8,9,3,4] => 010000010 => 010000010 => 101111101
[2,3,4,5,6,7,8,9,10,11,12,1] => 00000000001 => 10000000000 => 01111111111
[7,4,5,1,2,8,6,3] => 1010011 => 1100101 => 0011010
[6,4,7,1,8,5,2,3] => 1010110 => 0110101 => 1001010
[5,7,4,2,3,8,6,1] => 0110011 => 1100110 => 0011001
[3,8,2,5,1,7,4,6] => 0101010 => 0101010 => 1010101
[5,8,4,2,3,7,1,6] => 0110010 => 0100110 => 1011001
[4,8,5,2,1,7,3,6] => 0111010 => 0101110 => 1010001
[8,5,7,6,1,2,4,3] => 1011001 => 1001101 => 0110010
[6,8,7,5,2,4,1,3] => 0111010 => 0101110 => 1010001
[5,7,6,8,4,1,3,2] => 0101101 => 1011010 => 0100101
[7,3,1,6,8,5,4,2] => 1100111 => 1110011 => 0001100
[5,3,1,7,4,8,6,2] => 1101011 => 1101011 => 0010100
[7,3,1,8,6,4,5,2] => 1101101 => 1011011 => 0100100
[8,6,4,1,7,3,2,5] => 1110110 => 0110111 => 1001000
[4,6,8,3,7,1,2,5] => 0010100 => 0010100 => 1101011
[3,5,2,8,4,7,1,6] => 0101010 => 0101010 => 1010101
[6,4,8,3,7,2,1,5] => 1010110 => 0110101 => 1001010
[3,6,2,8,7,4,1,5] => 0101110 => 0111010 => 1000101
[6,8,4,2,7,3,1,5] => 0110110 => 0110110 => 1001001
[9,8,2,3,4,5,6,7,1] => 11000001 => 10000011 => 01111100
[8,9,2,3,4,5,6,7,1] => 01000001 => 10000010 => 01111101
[9,8,7,6,4,5,3,2,1] => 11110111 => 11101111 => 00010000
[5,6,7,9,8,4,3,2,1] => 00011111 => 11111000 => 00000111
[5,6,7,8,9,1,4,3,2] => 00001011 => 11010000 => 00101111
[10,9,2,3,4,5,6,7,8,1] => 110000001 => 100000011 => 011111100
[3,4,7,8,5,1,2,6] => 0001100 => 0011000 => 1100111
[4,7,3,2,5,6,8,1] => 0110001 => 1000110 => 0111001
[3,2,7,6,4,5,8,1] => 1011001 => 1001101 => 0110010
[1,7,3,6,8,4,2,5] => 0100110 => 0110010 => 1001101
[2,3,6,5,1,8,7,4] => 0011011 => 1101100 => 0010011
[8,3,1,2,6,4,7,5] => 1100101 => 1010011 => 0101100
[1,7,8,2,4,3,5,6] => 0010100 => 0010100 => 1101011
[3,6,4,7,1,2,8,5] => 0101001 => 1001010 => 0110101
[5,7,4,8,1,3,2,6] => 0101010 => 0101010 => 1010101
[4,3,7,8,1,5,2,6] => 1001010 => 0101001 => 1010110
[8,5,4,2,6,1,7,3] => 1110101 => 1010111 => 0101000
[3,2,6,8,7,4,1,5] => 1001110 => 0111001 => 1000110
[2,3,7,5,1,8,6,4] => 0011011 => 1101100 => 0010011
[6,3,1,2,8,7,4,5] => 1100110 => 0110011 => 1001100
[5,2,1,3,8,7,6,4] => 1100111 => 1110011 => 0001100
[7,2,1,5,3,8,4,6] => 1101010 => 0101011 => 1010100
[1,5,8,2,4,3,6,7] => 0010100 => 0010100 => 1101011
[4,3,6,8,1,5,2,7] => 1001010 => 0101001 => 1010110
[5,4,6,8,3,1,7,2] => 1001101 => 1011001 => 0100110
[3,6,8,4,5,1,7,2] => 0010101 => 1010100 => 0101011
[8,6,1,7,2,4,3,5] => 1101010 => 0101011 => 1010100
[7,3,1,2,8,6,4,5] => 1100110 => 0110011 => 1001100
[2,3,7,6,1,8,5,4] => 0011011 => 1101100 => 0010011
[3,2,7,8,6,4,1,5] => 1001110 => 0111001 => 1000110
[6,2,8,3,1,4,7,5] => 1011001 => 1001101 => 0110010
[3,1,2,8,7,4,5,6] => 1001100 => 0011001 => 1100110
[2,1,3,8,7,4,6,5] => 1001101 => 1011001 => 0100110
[2,1,3,8,7,4,5,6] => 1001100 => 0011001 => 1100110
[1,6,8,3,2,4,7,5] => 0011001 => 1001100 => 0110011
[8,5,1,7,2,4,3,6] => 1101010 => 0101011 => 1010100
[8,4,1,7,3,2,5,6] => 1101100 => 0011011 => 1100100
[8,3,1,6,2,7,5,4] => 1101011 => 1101011 => 0010100
[1,3,2,8,7,6,4,5] => 0101110 => 0111010 => 1000101
[2,1,3,8,7,6,4,5] => 1001110 => 0111001 => 1000110
[2,4,3,1,6,5,8,7,10,9] => 011010101 => 101010110 => 010101001
[1,6,3,7,2,5,4,8] => 0101010 => 0101010 => 1010101
[1,7,2,4,6,3,5,8] => 0100100 => 0010010 => 1101101
[5,7,2,8,4,1,3,6] => 0101100 => 0011010 => 1100101
[5,6,2,8,4,1,3,7] => 0101100 => 0011010 => 1100101
[2,4,8,3,1,6,7,5] => 0011001 => 1001100 => 0110011
[3,5,8,4,2,1,6,7] => 0011100 => 0011100 => 1100011
[2,5,8,3,1,4,6,7] => 0011000 => 0001100 => 1110011
[2,8,1,3,5,7,4,6] => 0100010 => 0100010 => 1011101
[5,4,7,8,3,2,6,1] => 1001101 => 1011001 => 0100110
[3,6,8,2,5,1,4,7] => 0010100 => 0010100 => 1101011
[3,6,8,7,2,5,4,1] => 0011011 => 1101100 => 0010011
[3,4,6,5,8,2,1,7] => 0010110 => 0110100 => 1001011
[2,4,6,7,8,3,5,1] => 0000101 => 1010000 => 0101111
[1,4,2,5,7,6,3,8] => 0100110 => 0110010 => 1001101
[1,4,2,6,8,5,3,7] => 0100110 => 0110010 => 1001101
[1,2,6,8,3,5,4,7] => 0001010 => 0101000 => 1010111
[1,6,8,3,5,4,2,7] => 0010110 => 0110100 => 1001011
[1,5,3,2,4,6,8,7] => 0110001 => 1000110 => 0111001
[1,5,8,7,6,3,2,4] => 0011110 => 0111100 => 1000011
[1,5,7,6,3,2,4,8] => 0011100 => 0011100 => 1100011
[1,6,3,2,4,7,5,8] => 0110010 => 0100110 => 1011001
[1,6,3,2,4,8,7,5] => 0110011 => 1100110 => 0011001
[1,2,7,6,4,3,5,8] => 0011100 => 0011100 => 1100011
[1,8,7,5,2,4,6,3] => 0111001 => 1001110 => 0110001
[1,7,5,2,4,6,3,8] => 0110010 => 0100110 => 1011001
[1,7,4,2,5,3,6,8] => 0110100 => 0010110 => 1101001
[1,8,4,7,5,2,6,3] => 0101101 => 1011010 => 0100101
[1,7,5,2,3,6,4,8] => 0110010 => 0100110 => 1011001
[1,7,5,2,6,3,4,8] => 0110100 => 0010110 => 1101001
[1,6,3,7,4,2,5,8] => 0101100 => 0011010 => 1100101
[1,6,3,2,7,5,4,8] => 0110110 => 0110110 => 1001001
[1,4,7,5,2,6,3,8] => 0011010 => 0101100 => 1010011
[1,3,6,4,8,7,5,2] => 0010111 => 1110100 => 0001011
[1,3,7,6,4,2,5,8] => 0011100 => 0011100 => 1100011
[1,3,2,4,8,5,7,6] => 0100101 => 1010010 => 0101101
[1,3,8,7,5,2,4,6] => 0011100 => 0011100 => 1100011
[1,4,6,3,2,7,5,8] => 0011010 => 0101100 => 1010011
[1,4,6,3,2,8,7,5] => 0011011 => 1101100 => 0010011
[1,5,7,6,4,2,3,8] => 0011100 => 0011100 => 1100011
[1,6,3,2,8,4,7,5] => 0110101 => 1010110 => 0101001
[1,6,3,5,2,7,4,8] => 0101010 => 0101010 => 1010101
[1,6,3,5,2,8,7,4] => 0101011 => 1101010 => 0010101
[1,8,3,7,5,2,4,6] => 0101100 => 0011010 => 1100101
[7,8,4,9,5,2,10,6,3,1] => 010110111 => 111011010 => 000100101
[6,4,7,1,5,3,8,2] => 1010101 => 1010101 => 0101010
[5,3,8,2,6,4,7,1] => 1010101 => 1010101 => 0101010
[4,3,8,2,6,5,7,1] => 1010101 => 1010101 => 0101010
[2,6,1,8,3,4,7,5] => 0101001 => 1001010 => 0110101
[5,7,1,4,8,2,3,6] => 0100100 => 0010010 => 1101101
[6,5,7,1,4,3,8,2] => 1010101 => 1010101 => 0101010
[4,8,3,5,7,6,1,2] => 0100110 => 0110010 => 1001101
[5,7,6,1,2,4,8,3] => 0110001 => 1000110 => 0111001
[4,8,3,5,7,6,2,1] => 0100111 => 1110010 => 0001101
[1,3,4,2,8,5,7,6] => 0010101 => 1010100 => 0101011
[5,7,6,2,4,8,3,1] => 0110011 => 1100110 => 0011001
[6,7,5,2,3,8,4,1] => 0110011 => 1100110 => 0011001
[6,7,5,3,8,4,2,1] => 0110111 => 1110110 => 0001001
[3,2,1,4,8,5,7,6] => 1100101 => 1010011 => 0101100
[7,3,1,4,2,6,5,8] => 1101010 => 0101011 => 1010100
[7,4,1,6,2,5,3,8] => 1101010 => 0101011 => 1010100
[5,4,1,8,2,6,3,7] => 1101010 => 0101011 => 1010100
[5,3,1,8,2,6,4,7] => 1101010 => 0101011 => 1010100
[4,7,1,5,2,6,3,8] => 0101010 => 0101010 => 1010101
[6,5,1,4,2,7,3,8] => 1101010 => 0101011 => 1010100
[1,8,7,3,4,5,2,6] => 0110010 => 0100110 => 1011001
[1,8,9,3,4,5,6,7,2] => 00100001 => 10000100 => 01111011
[1,8,7,4,5,2,3,6] => 0110100 => 0010110 => 1101001
[1,2,6,8,7,3,4,5] => 0001100 => 0011000 => 1100111
[1,3,7,8,4,5,6,2] => 0001001 => 1001000 => 0110111
[1,3,4,5,6,7,8,9,10,11,12,2] => 00000000001 => 10000000000 => 01111111111
[8,4,2,3,1,6,5,7] => 1101010 => 0101011 => 1010100
[6,4,5,2,8,1,7,3] => 1010101 => 1010101 => 0101010
[4,8,6,2,3,1,7,5] => 0110101 => 1010110 => 0101001
[6,4,2,1,8,5,3,7] => 1110110 => 0110111 => 1001000
[4,2,6,1,5,8,3,7] => 1010010 => 0100101 => 1011010
[6,4,2,3,5,8,1,7] => 1100010 => 0100011 => 1011100
[2,8,6,4,5,1,7,3] => 0110101 => 1010110 => 0101001
[8,2,4,6,7,1,5,3] => 1000101 => 1010001 => 0101110
[2,6,3,1,7,4,8,5] => 0110101 => 1010110 => 0101001
[6,5,1,8,3,2,7,4] => 1101101 => 1011011 => 0100100
[1,4,3,7,2,8,6,5] => 0101011 => 1101010 => 0010101
[1,8,7,4,5,3,2,6] => 0110110 => 0110110 => 1001001
[2,8,3,1,4,5,7,6] => 0110001 => 1000110 => 0111001
[3,2,6,7,8,4,5,1] => 1000101 => 1010001 => 0101110
[1,7,4,6,3,8,2,5] => 0101010 => 0101010 => 1010101
[5,6,4,1,3,8,2,7] => 0110010 => 0100110 => 1011001
[4,5,3,1,8,7,6,2] => 0110111 => 1110110 => 0001001
[6,3,4,2,7,8,5,1] => 1010011 => 1100101 => 0011010
[8,7,4,5,1,6,3,2] => 1101011 => 1101011 => 0010100
[6,2,7,8,1,3,5,4] => 1001001 => 1001001 => 0110110
[5,1,8,4,3,7,2,6] => 1011010 => 0101101 => 1010010
[7,2,8,1,4,5,6,3] => 1010001 => 1000101 => 0111010
[1,4,8,2,5,6,7,3] => 0010001 => 1000100 => 0111011
[2,1,4,3,6,5,8,10,9,7] => 101010011 => 110010101 => 001101010
[2,1,4,3,6,8,7,5,10,9] => 101001101 => 101100101 => 010011010
[2,1,4,3,8,10,7,9,5,6] => 101001010 => 010100101 => 101011010
[2,1,4,3,6,7,10,8,9,5] => 101000101 => 101000101 => 010111010
[2,1,4,6,5,3,8,7,10,9] => 100110101 => 101011001 => 010100110
[2,1,4,6,5,3,8,10,9,7] => 100110011 => 110011001 => 001100110
[2,1,6,8,5,7,3,4,10,9] => 100101001 => 100101001 => 011010110
[2,1,8,7,5,10,4,9,3,6] => 101101010 => 010101101 => 101010010
[2,1,6,7,5,10,8,4,9,3] => 100101101 => 101101001 => 010010110
[2,1,4,5,8,6,7,3,10,9] => 100010101 => 101010001 => 010101110
[2,1,8,5,10,6,7,9,3,4] => 101010010 => 010010101 => 101101010
[2,1,4,7,10,6,9,8,3,5] => 100010110 => 011010001 => 100101110
[2,1,4,5,6,10,7,8,9,3] => 100001001 => 100100001 => 011011110
[2,4,3,1,6,5,8,10,9,7] => 011010011 => 110010110 => 001101001
[2,4,3,1,6,8,7,5,10,9] => 011001101 => 101100110 => 010011001
[2,4,3,1,8,10,7,9,5,6] => 011001010 => 010100110 => 101011001
[2,4,3,1,6,7,10,8,9,5] => 011000101 => 101000110 => 010111001
[4,6,3,5,1,2,8,7,10,9] => 010100101 => 101001010 => 010110101
[4,6,3,5,1,2,8,10,9,7] => 010100011 => 110001010 => 001110101
[6,5,3,8,2,7,1,4,10,9] => 110101001 => 100101011 => 011010100
[8,5,3,7,2,10,4,9,1,6] => 110101010 => 010101011 => 101010100
[6,5,3,7,2,10,8,4,9,1] => 110101101 => 101101011 => 010010100
[4,5,3,8,6,2,7,1,10,9] => 010110101 => 101011010 => 010100101
[8,6,3,5,10,2,7,9,1,4] => 110010010 => 010010011 => 101101100
[4,7,3,6,10,1,9,8,2,5] => 010010110 => 011010010 => 100101101
[4,5,3,6,10,7,1,8,9,2] => 010011001 => 100110010 => 011001101
[2,3,6,4,5,1,8,7,10,9] => 001010101 => 101010100 => 010101011
[2,3,6,4,5,1,8,10,9,7] => 001010011 => 110010100 => 001101011
[6,3,8,4,5,7,1,2,10,9] => 101001001 => 100100101 => 011011010
[8,3,7,4,5,10,2,9,1,6] => 101001010 => 010100101 => 101011010
[6,3,7,4,5,10,8,2,9,1] => 101001101 => 101100101 => 010011010
[2,5,8,4,7,6,1,3,10,9] => 001011001 => 100110100 => 011001011
[8,5,10,4,7,6,2,9,1,3] => 101011010 => 010110101 => 101001010
[2,7,10,4,8,6,9,5,1,3] => 001010110 => 011010100 => 100101011
[2,5,6,4,10,8,7,3,9,1] => 001011101 => 101110100 => 010001011
[2,3,4,8,5,6,7,1,10,9] => 000100101 => 101001000 => 010110111
[8,3,4,10,5,6,7,9,1,2] => 100100010 => 010001001 => 101110110
[2,7,4,10,5,6,9,8,1,3] => 010100110 => 011001010 => 100110101
[2,3,6,10,5,9,7,8,1,4] => 000101010 => 010101000 => 101010111
[2,3,4,5,10,6,7,8,9,1] => 000010001 => 100010000 => 011101111
[2,1,4,3,6,5,8,7,10,12,11,9] => 10101010011 => 11001010101 => 00110101010
[2,1,4,3,6,5,8,10,9,7,12,11] => 10101001101 => 10110010101 => 01001101010
[2,1,4,3,6,8,7,5,10,9,12,11] => 10100110101 => 10101100101 => 01010011010
[2,1,4,3,6,8,7,5,10,12,11,9] => 10100110011 => 11001100101 => 00110011010
[2,1,4,3,8,9,7,12,10,6,11,5] => 10100101101 => 10110100101 => 01001011010
[2,1,4,6,5,3,8,7,10,9,12,11] => 10011010101 => 10101011001 => 01010100110
[2,1,4,6,5,3,8,7,10,12,11,9] => 10011010011 => 11001011001 => 00110100110
[2,1,4,6,5,3,8,10,9,7,12,11] => 10011001101 => 10110011001 => 01001100110
[2,1,8,7,5,10,4,9,3,6,12,11] => 10110101001 => 10010101101 => 01101010010
[2,1,6,7,5,10,8,4,9,3,12,11] => 10010110101 => 10101101001 => 01010010110
[2,1,4,5,8,6,7,3,10,9,12,11] => 10001010101 => 10101010001 => 01010101110
[2,1,8,5,9,6,7,12,10,4,11,3] => 10101001101 => 10110010101 => 01001101010
[2,1,4,7,8,6,12,10,9,5,11,3] => 10001011101 => 10111010001 => 01000101110
[2,1,4,5,6,7,12,8,9,10,11,3] => 10000010001 => 10001000001 => 01110111110
[2,4,3,1,6,5,8,7,10,9,12,11] => 01101010101 => 10101010110 => 01010101001
[2,4,3,1,6,5,8,7,10,12,11,9] => 01101010011 => 11001010110 => 00110101001
[2,4,3,1,6,5,8,10,9,7,12,11] => 01101001101 => 10110010110 => 01001101001
[2,4,3,1,6,8,7,5,10,9,12,11] => 01100110101 => 10101100110 => 01010011001
[2,4,3,1,6,8,7,5,10,12,11,9] => 01100110011 => 11001100110 => 00110011001
[2,4,3,1,8,9,7,12,10,6,11,5] => 01100101101 => 10110100110 => 01001011001
[4,6,3,5,1,2,10,12,9,11,7,8] => 01010001010 => 01010001010 => 10101110101
[6,5,3,8,2,7,1,4,10,9,12,11] => 11010100101 => 10100101011 => 01011010100
[8,5,3,7,2,10,4,9,1,6,12,11] => 11010101001 => 10010101011 => 01101010100
[10,5,3,7,2,9,4,12,6,11,1,8] => 11010101010 => 01010101011 => 10101010100
[6,5,3,7,2,8,12,9,1,10,11,4] => 11010011001 => 10011001011 => 01100110100
[4,5,3,8,6,2,7,1,10,9,12,11] => 01011010101 => 10101011010 => 01010100101
[4,5,3,8,6,2,7,1,10,12,11,9] => 01011010011 => 11001011010 => 00110100101
[8,6,3,5,9,2,7,12,10,4,11,1] => 11001001101 => 10110010011 => 01001101100
[4,7,3,6,8,1,12,10,9,5,11,2] => 01001011101 => 10111010010 => 01000101101
[4,5,3,8,7,12,2,11,9,10,1,6] => 01010101010 => 01010101010 => 10101010101
[2,3,6,4,5,1,8,7,10,9,12,11] => 00101010101 => 10101010100 => 01010101011
[2,3,6,4,5,1,8,7,10,12,11,9] => 00101010011 => 11001010100 => 00110101011
[2,3,6,4,5,1,8,10,9,7,12,11] => 00101001101 => 10110010100 => 01001101011
[2,3,6,4,5,1,8,9,12,10,11,7] => 00101000101 => 10100010100 => 01011101011
[8,3,7,4,5,9,2,12,10,6,11,1] => 10100101101 => 10110100101 => 01001011010
[6,3,7,4,5,10,8,2,9,1,12,11] => 10100110101 => 10101100101 => 01010011010
[8,5,10,4,7,6,2,9,1,3,12,11] => 10101101001 => 10010110101 => 01101001010
[2,7,8,4,12,6,9,10,1,3,11,5] => 00101001001 => 10010010100 => 01101101011
[2,5,6,4,10,8,7,3,9,1,12,11] => 00101110101 => 10101110100 => 01010001011
[10,5,6,4,12,8,7,3,9,11,1,2] => 10101110010 => 01001110101 => 10110001010
[2,5,8,4,12,9,7,11,6,10,3,1] => 00101101011 => 11010110100 => 00101001011
[2,3,4,8,5,6,7,1,10,9,12,11] => 00010010101 => 10101001000 => 01010110111
[2,7,4,8,5,6,12,10,9,3,11,1] => 01010011101 => 10111001010 => 01000110101
[2,3,6,10,5,9,7,8,1,4,12,11] => 00010101001 => 10010101000 => 01101010111
[2,3,6,7,5,12,10,8,9,4,11,1] => 00010110101 => 10101101000 => 01010010111
[2,3,4,5,10,6,7,8,9,1,12,11] => 00001000101 => 10100010000 => 01011101111
[10,3,4,5,12,6,7,8,9,11,1,2] => 10001000010 => 01000010001 => 10111101110
[2,3,4,7,12,6,11,8,9,10,1,5] => 00001010010 => 01001010000 => 10110101111
[2,3,4,5,6,12,7,8,9,10,11,1] => 00000100001 => 10000100000 => 01111011111
[8,1,6,7,2,5,4,3] => 1001011 => 1101001 => 0010110
[7,5,2,3,6,8,4,1] => 1100011 => 1100011 => 0011100
[8,1,4,6,5,3,2,7] => 1001110 => 0111001 => 1000110
[8,1,4,7,6,5,2,3] => 1001110 => 0111001 => 1000110
[8,1,2,7,6,5,4,3] => 1001111 => 1111001 => 0000110
[4,5,8,1,6,7,2,3] => 0010010 => 0100100 => 1011011
[3,7,2,5,8,4,6,1] => 0100101 => 1010010 => 0101101
[6,7,8,4,1,5,2,3] => 0011010 => 0101100 => 1010011
[6,2,8,3,5,1,4,7] => 1010100 => 0010101 => 1101010
[6,2,7,4,5,3,1,8] => 1010110 => 0110101 => 1001010
[6,8,2,5,3,4,1,7] => 0101010 => 0101010 => 1010101
[6,8,7,5,4,1,2,3] => 0111100 => 0011110 => 1100001
[7,4,5,6,1,8,2,3] => 1001010 => 0101001 => 1010110
[6,3,5,2,8,1,7,4] => 1010101 => 1010101 => 0101010
[6,1,8,7,4,5,2,3] => 1011010 => 0101101 => 1010010
[4,8,7,1,6,3,2,5] => 0110110 => 0110110 => 1001001
[4,8,2,7,5,3,6,1] => 0101101 => 1011010 => 0100101
[1,3,2,6,8,7,4,5] => 0100110 => 0110010 => 1001101
[1,3,8,2,5,4,6,7] => 0010100 => 0010100 => 1101011
[1,6,2,5,8,7,3,4] => 0100110 => 0110010 => 1001101
[1,6,8,7,2,3,5,4] => 0011001 => 1001100 => 0110011
[1,6,8,7,2,5,3,4] => 0011010 => 0101100 => 1010011
[1,5,2,4,8,3,6,7] => 0100100 => 0010010 => 1101101
[1,2,4,5,8,6,3,7] => 0000110 => 0110000 => 1001111
[1,2,8,3,5,4,7,6] => 0010101 => 1010100 => 0101011
[1,3,8,2,5,4,7,6] => 0010101 => 1010100 => 0101011
[1,6,7,5,2,4,8,3] => 0011001 => 1001100 => 0110011
[1,5,6,4,7,2,3,8] => 0010100 => 0010100 => 1101011
[1,7,4,2,5,8,3,6] => 0110010 => 0100110 => 1011001
[1,6,4,3,7,5,2,8] => 0110110 => 0110110 => 1001001
[1,6,5,4,7,2,3,8] => 0110100 => 0010110 => 1101001
[1,7,3,2,6,4,8,5] => 0110101 => 1010110 => 0101001
[1,5,8,2,3,6,7,4] => 0010001 => 1000100 => 0111011
[1,3,2,6,8,5,4,7] => 0100110 => 0110010 => 1001101
[1,6,3,2,7,4,5,8] => 0110100 => 0010110 => 1101001
[1,7,8,5,4,2,3,6] => 0011100 => 0011100 => 1100011
[1,8,4,2,3,6,5,7] => 0110010 => 0100110 => 1011001
[1,4,2,7,5,3,8,6] => 0101101 => 1011010 => 0100101
[1,5,7,6,2,4,3,8] => 0011010 => 0101100 => 1010011
[1,8,4,7,3,2,6,5] => 0101101 => 1011010 => 0100101
[1,3,8,4,2,6,5,7] => 0011010 => 0101100 => 1010011
[1,7,4,2,6,5,8,3] => 0110101 => 1010110 => 0101001
[1,6,5,8,3,7,4,2] => 0101011 => 1101010 => 0010101
[1,7,4,8,3,2,5,6] => 0101100 => 0011010 => 1100101
[1,4,8,3,2,7,5,6] => 0011010 => 0101100 => 1010011
[1,8,3,6,4,5,2,7] => 0101010 => 0101010 => 1010101
[1,6,4,7,3,2,8,5] => 0101101 => 1011010 => 0100101
[8,2,3,7,4,5,6,1] => 1001001 => 1001001 => 0110110
[8,5,7,2,3,6,4,1] => 1010011 => 1100101 => 0011010
[7,5,2,1,6,8,3,4] => 1110010 => 0100111 => 1011000
[7,6,1,5,4,8,2,3] => 1101010 => 0101011 => 1010100
[7,6,3,2,1,8,4,5] => 1111010 => 0101111 => 1010000
[2,8,7,3,4,6,1,5] => 0110010 => 0100110 => 1011001
[6,5,1,3,7,2,8,4] => 1100101 => 1010011 => 0101100
[8,1,7,3,4,5,2,6] => 1010010 => 0100101 => 1011010
[7,1,8,3,4,5,2,6] => 1010010 => 0100101 => 1011010
[6,8,7,3,4,2,1,5] => 0110110 => 0110110 => 1001001
[3,8,7,1,2,4,5,6] => 0110000 => 0000110 => 1111001
[1,8,5,3,4,6,2,7] => 0110010 => 0100110 => 1011001
[7,1,6,5,4,3,8,2] => 1011101 => 1011101 => 0100010
[7,1,3,6,4,5,8,2] => 1001001 => 1001001 => 0110110
[7,1,5,3,6,4,8,2] => 1010101 => 1010101 => 0101010
[6,1,5,3,7,8,2,4] => 1010010 => 0100101 => 1011010
[5,8,7,1,2,6,3,4] => 0110010 => 0100110 => 1011001
[6,8,2,3,4,7,1,5] => 0100010 => 0100010 => 1011101
[5,1,7,3,8,6,2,4] => 1010110 => 0110101 => 1001010
[6,1,3,2,4,7,8,5] => 1010001 => 1000101 => 0111010
[6,2,1,3,4,7,8,5] => 1100001 => 1000011 => 0111100
[3,4,5,6,1,8,9,2,7] => 00010010 => 01001000 => 10110111
[3,4,5,6,8,1,9,2,7] => 00001010 => 01010000 => 10101111
[3,4,5,6,8,9,1,2,7] => 00000100 => 00100000 => 11011111
[2,4,5,1,6,7,8,9,3] => 00100001 => 10000100 => 01111011
[2,3,4,1,6,7,8,9,5] => 00100001 => 10000100 => 01111011
[2,3,4,5,6,1,8,9,10,7] => 000010001 => 100010000 => 011101111
[3,4,5,6,1,2,9,7,8] => 00010010 => 01001000 => 10110111
[3,4,5,6,8,1,2,7,9] => 00001000 => 00010000 => 11101111
[2,3,4,5,6,8,9,1,10,7] => 000000101 => 101000000 => 010111111
[3,4,5,1,6,7,8,2,9] => 00100010 => 01000100 => 10111011
[5,6,1,7,8,9,2,3,4] => 01000100 => 00100010 => 11011101
[4,5,6,1,7,8,9,10,2,3] => 001000010 => 010000100 => 101111011
[1,3,5,2,6,7,8,9,4] => 00100001 => 10000100 => 01111011
[3,5,6,1,7,8,9,10,2,4] => 001000010 => 010000100 => 101111011
[2,1,4,3,6,7,8,9,5] => 10100001 => 10000101 => 01111010
[3,4,6,1,7,8,9,10,2,5] => 001000010 => 010000100 => 101111011
[2,3,1,5,6,7,8,9,4] => 01000001 => 10000010 => 01111101
[3,4,5,1,7,8,9,10,2,6] => 001000010 => 010000100 => 101111011
[3,2,5,8,7,4,1,6] => 1001110 => 0111001 => 1000110
[4,2,5,8,7,3,1,6] => 1001110 => 0111001 => 1000110
[8,3,4,1,6,5,2,7] => 1010110 => 0110101 => 1001010
[3,4,8,5,7,2,1,6] => 0010110 => 0110100 => 1001011
[3,6,4,8,5,7,2,1] => 0101011 => 1101010 => 0010101
[5,8,4,7,3,6,2,1] => 0101011 => 1101010 => 0010101
[4,2,8,7,3,1,6,5] => 1011101 => 1011101 => 0100010
[6,5,8,2,1,7,4,3] => 1011011 => 1101101 => 0010010
[6,1,4,3,8,7,2,5] => 1010110 => 0110101 => 1001010
[5,1,3,2,6,8,7,4] => 1010011 => 1100101 => 0011010
[6,1,3,8,7,2,4,5] => 1001100 => 0011001 => 1100110
[1,2,8,4,5,7,3,6] => 0010010 => 0100100 => 1011011
[4,2,1,8,7,6,3,5] => 1101110 => 0111011 => 1000100
[3,2,5,8,7,1,4,6] => 1001100 => 0011001 => 1100110
[5,6,3,8,7,2,1,4] => 0101110 => 0111010 => 1000101
[2,5,8,4,7,1,6,3] => 0010101 => 1010100 => 0101011
[1,6,2,4,8,5,7,3] => 0100101 => 1010010 => 0101101
[3,1,6,5,8,7,2,4] => 1010110 => 0110101 => 1001010
[4,8,5,3,6,7,1,2] => 0110010 => 0100110 => 1011001
[1,8,5,3,4,7,6,2] => 0110011 => 1100110 => 0011001
[2,7,1,3,6,4,5,8] => 0100100 => 0010010 => 1101101
[8,1,7,3,5,4,6,2] => 1010101 => 1010101 => 0101010
[1,8,6,3,2,5,4,7] => 0111010 => 0101110 => 1010001
[3,2,4,8,5,7,1,6] => 1001010 => 0101001 => 1010110
[8,1,2,4,7,5,6,3] => 1000101 => 1010001 => 0101110
[6,4,5,8,3,1,7,2] => 1001101 => 1011001 => 0100110
[8,6,2,1,5,7,3,4] => 1110010 => 0100111 => 1011000
[4,6,2,8,5,3,7,1] => 0101101 => 1011010 => 0100101
[8,7,2,4,1,5,3,6] => 1101010 => 0101011 => 1010100
[7,5,3,4,8,6,2,1] => 1100111 => 1110011 => 0001100
[2,8,3,1,4,6,7,5] => 0110001 => 1000110 => 0111001
[4,3,6,5,1,2,7,8] => 1011000 => 0001101 => 1110010
[5,8,3,7,6,4,2,1] => 0101111 => 1111010 => 0000101
[1,3,8,7,6,5,2,4] => 0011110 => 0111100 => 1000011
[4,8,7,2,6,3,1,5] => 0110110 => 0110110 => 1001001
[1,8,7,2,6,3,5,4] => 0110101 => 1010110 => 0101001
[8,7,2,1,4,3,5,6] => 1110100 => 0010111 => 1101000
[2,8,7,1,6,3,4,5] => 0110100 => 0010110 => 1101001
[4,2,8,7,6,5,1,3] => 1011110 => 0111101 => 1000010
[8,4,2,7,6,5,3,1] => 1101111 => 1111011 => 0000100
[6,8,7,5,2,4,3,1] => 0111011 => 1101110 => 0010001
[1,2,5,7,4,8,6,3] => 0001011 => 1101000 => 0010111
[6,2,1,8,7,5,3,4] => 1101110 => 0111011 => 1000100
[6,3,8,7,4,5,2,1] => 1011011 => 1101101 => 0010010
[2,8,3,4,1,5,6,7] => 0101000 => 0001010 => 1110101
[1,3,7,5,4,8,6,2] => 0011011 => 1101100 => 0010011
[4,5,6,3,1,8,2,7] => 0011010 => 0101100 => 1010011
[5,2,1,4,3,6,8,7] => 1101001 => 1001011 => 0110100
[1,5,6,3,8,4,2,7] => 0010110 => 0110100 => 1001011
[2,6,5,3,8,4,1,7] => 0110110 => 0110110 => 1001001
[5,7,3,8,4,2,6,1] => 0101101 => 1011010 => 0100101
[5,3,6,2,8,4,1,7] => 1010110 => 0110101 => 1001010
[2,3,6,5,4,8,1,7] => 0011010 => 0101100 => 1010011
[3,7,5,4,8,2,6,1] => 0110101 => 1010110 => 0101001
[5,3,7,1,2,8,4,6] => 1010010 => 0100101 => 1011010
[6,3,8,7,2,5,4,1] => 1011011 => 1101101 => 0010010
[2,8,7,6,1,5,3,4] => 0111010 => 0101110 => 1010001
[9,7,8,5,4,3,2,1,6] => 10111110 => 01111101 => 10000010
[1,2,3,4,6,5,7,8,9] => 00001000 => 00010000 => 11101111
[1,2,3,5,4,6,7,8,9] => 00010000 => 00001000 => 11110111
[6,8,4,1,7,5,2,3] => 0110110 => 0110110 => 1001001
[8,1,4,6,7,5,2,3] => 1000110 => 0110001 => 1001110
[2,6,8,1,4,7,5,3] => 0010011 => 1100100 => 0011011
[6,4,8,1,2,7,5,3] => 1010011 => 1100101 => 0011010
[8,1,4,6,7,2,5,3] => 1000101 => 1010001 => 0101110
[8,2,1,6,7,4,5,3] => 1100101 => 1010011 => 0101100
[8,2,6,1,7,4,5,3] => 1010101 => 1010101 => 0101010
[4,2,8,1,6,7,5,3] => 1010011 => 1100101 => 0011010
[8,1,2,6,4,7,5,3] => 1001011 => 1101001 => 0010110
[8,4,1,6,2,7,5,3] => 1101011 => 1101011 => 0010100
[4,8,1,2,6,7,5,3] => 0100011 => 1100010 => 0011101
[4,8,2,1,6,7,5,3] => 0110011 => 1100110 => 0011001
[8,1,6,2,4,7,5,3] => 1010011 => 1100101 => 0011010
[8,2,4,6,1,7,5,3] => 1001011 => 1101001 => 0010110
[2,1,4,3,6,5,8,9,10,7] => 101010001 => 100010101 => 011101010
[2,1,4,3,6,7,8,5,10,9] => 101000101 => 101000101 => 010111010
[2,1,4,3,8,7,9,10,5,6] => 101010010 => 010010101 => 101101010
[2,1,4,3,6,7,8,9,10,5] => 101000001 => 100000101 => 011111010
[2,1,4,5,6,3,8,7,10,9] => 100010101 => 101010001 => 010101110
[2,1,4,5,6,3,8,9,10,7] => 100010001 => 100010001 => 011101110
[2,1,6,5,7,8,3,4,10,9] => 101001001 => 100100101 => 011011010
[2,1,8,5,9,7,3,10,6,4] => 101011011 => 110110101 => 001001010
[2,1,6,5,7,8,9,10,3,4] => 101000010 => 010000101 => 101111010
[2,1,4,5,6,7,8,3,10,9] => 100000101 => 101000001 => 010111110
[2,1,8,5,6,7,9,10,3,4] => 101000010 => 010000101 => 101111010
[2,1,4,7,6,8,9,3,10,5] => 100100101 => 101001001 => 010110110
[2,1,4,5,6,7,8,9,10,3] => 100000001 => 100000001 => 011111110
[2,3,4,1,6,5,8,7,10,9] => 001010101 => 101010100 => 010101011
[2,3,4,1,6,5,8,9,10,7] => 001010001 => 100010100 => 011101011
[2,3,4,1,6,7,8,5,10,9] => 001000101 => 101000100 => 010111011
[2,3,4,1,8,7,9,10,5,6] => 001010010 => 010010100 => 101101011
[2,3,4,1,6,7,8,9,10,5] => 001000001 => 100000100 => 011111011
[4,3,5,6,1,2,8,7,10,9] => 100100101 => 101001001 => 010110110
[4,3,5,6,1,2,8,9,10,7] => 100100001 => 100001001 => 011110110
[6,3,7,5,1,8,4,2,10,9] => 101101101 => 101101101 => 010010010
[8,3,9,5,1,7,4,10,6,2] => 101101011 => 110101101 => 001010010
[6,3,7,5,1,8,9,10,4,2] => 101100011 => 110001101 => 001110010
[4,3,5,6,7,8,1,2,10,9] => 100001001 => 100100001 => 011011110
[8,3,9,5,6,7,1,10,4,2] => 101001011 => 110100101 => 001011010
[4,3,7,8,6,10,9,2,5,1] => 100101101 => 101101001 => 010010110
[4,3,5,6,7,8,9,10,1,2] => 100000010 => 010000001 => 101111110
[2,3,4,5,6,1,8,7,10,9] => 000010101 => 101010000 => 010101111
[6,3,4,5,7,8,1,2,10,9] => 100001001 => 100100001 => 011011110
[8,3,4,5,9,7,1,10,6,2] => 100011011 => 110110001 => 001001110
[6,3,4,5,7,8,9,10,1,2] => 100000010 => 010000001 => 101111110
[2,5,4,6,7,1,8,3,10,9] => 010010101 => 101010010 => 010101101
[8,5,4,6,7,1,9,10,3,2] => 110010011 => 110010011 => 001101100
[2,7,4,8,6,1,9,5,10,3] => 010110101 => 101011010 => 010100101
[2,5,4,6,7,8,9,1,10,3] => 010000101 => 101000010 => 010111101
[2,3,4,5,6,7,8,1,10,9] => 000000101 => 101000000 => 010111111
[8,3,4,5,6,7,9,10,1,2] => 100000010 => 010000001 => 101111110
[2,7,4,5,6,8,9,1,10,3] => 010000101 => 101000010 => 010111101
[2,3,6,5,7,8,1,9,10,4] => 001001001 => 100100100 => 011011011
[2,1,4,3,6,5,8,7,10,11,12,9] => 10101010001 => 10001010101 => 01110101010
[2,1,4,3,6,5,8,9,10,11,12,7] => 10101000001 => 10000010101 => 01111101010
[2,1,4,3,6,7,8,9,10,11,12,5] => 10100000001 => 10000000101 => 01111111010
[2,1,4,5,6,3,8,7,10,9,12,11] => 10001010101 => 10101010001 => 01010101110
[2,1,4,5,6,3,10,9,11,12,7,8] => 10001010010 => 01001010001 => 10110101110
[2,1,4,5,6,3,8,9,10,11,12,7] => 10001000001 => 10000010001 => 01111101110
[2,1,6,5,7,8,3,4,10,11,12,9] => 10100100001 => 10000100101 => 01111011010
[2,1,10,5,11,7,8,9,3,12,6,4] => 10101001011 => 11010010101 => 00101101010
[2,1,6,5,9,10,8,12,11,4,7,3] => 10100101101 => 10110100101 => 01001011010
[2,1,6,5,7,8,9,10,11,12,3,4] => 10100000010 => 01000000101 => 10111111010
[2,1,4,5,6,7,8,3,10,9,12,11] => 10000010101 => 10101000001 => 01010111110
[2,1,4,5,6,7,8,3,10,11,12,9] => 10000010001 => 10001000001 => 01110111110
[2,1,10,5,6,7,11,9,3,12,8,4] => 10100011011 => 11011000101 => 00100111010
[2,1,8,5,6,7,9,10,11,12,3,4] => 10100000010 => 01000000101 => 10111111010
[2,1,10,7,6,8,9,3,11,12,5,4] => 10110010011 => 11001001101 => 00110110010
[2,1,4,9,6,10,8,3,11,7,12,5] => 10010110101 => 10101101001 => 01010010110
[2,1,4,5,6,7,8,9,10,3,12,11] => 10000000101 => 10100000001 => 01011111110
[2,1,10,5,6,7,8,9,11,12,3,4] => 10100000010 => 01000000101 => 10111111010
[2,1,4,5,8,7,9,10,3,11,12,6] => 10001001001 => 10010010001 => 01101101110
[2,1,4,5,6,7,8,9,10,11,12,3] => 10000000001 => 10000000001 => 01111111110
[2,3,4,1,6,5,8,7,10,9,12,11] => 00101010101 => 10101010100 => 01010101011
[2,3,4,1,6,5,8,7,10,11,12,9] => 00101010001 => 10001010100 => 01110101011
[2,3,4,1,6,5,8,9,10,7,12,11] => 00101000101 => 10100010100 => 01011101011
[2,3,4,1,6,5,8,9,10,11,12,7] => 00101000001 => 10000010100 => 01111101011
[2,3,4,1,6,7,8,5,10,9,12,11] => 00100010101 => 10101000100 => 01010111011
[2,3,4,1,6,7,8,5,10,11,12,9] => 00100010001 => 10001000100 => 01110111011
[2,3,4,1,8,7,9,10,5,6,12,11] => 00101001001 => 10010010100 => 01101101011
[2,3,4,1,10,7,11,9,5,12,8,6] => 00101011011 => 11011010100 => 00100101011
[2,3,4,1,6,7,8,9,10,11,12,5] => 00100000001 => 10000000100 => 01111111011
[4,3,5,6,1,2,8,7,10,11,12,9] => 10010010001 => 10001001001 => 01110110110
[6,3,7,5,1,8,4,2,10,11,12,9] => 10110110001 => 10001101101 => 01110010010
[10,3,11,5,1,7,8,9,4,12,6,2] => 10110001011 => 11010001101 => 00101110010
[6,3,7,5,1,8,9,10,11,12,4,2] => 10110000011 => 11000001101 => 00111110010
[8,3,9,5,6,7,1,10,4,2,12,11] => 10100101101 => 10110100101 => 01001011010
[10,3,11,5,6,7,1,9,4,12,8,2] => 10100101011 => 11010100101 => 00101011010
[4,3,7,8,6,10,9,2,5,1,12,11] => 10010110101 => 10101101001 => 01010010110
[4,3,5,6,7,8,9,10,1,2,12,11] => 10000001001 => 10010000001 => 01101111110
[4,3,5,8,9,7,12,10,1,11,6,2] => 10001011011 => 11011010001 => 00100101110
[4,3,5,6,7,8,9,10,11,12,1,2] => 10000000010 => 01000000001 => 10111111110
[2,3,4,5,6,1,8,7,10,9,12,11] => 00001010101 => 10101010000 => 01010101111
[2,3,4,5,6,1,8,7,10,11,12,9] => 00001010001 => 10001010000 => 01110101111
[2,3,4,5,6,1,8,9,10,7,12,11] => 00001000101 => 10100010000 => 01011101111
[2,3,4,5,6,1,10,9,11,12,7,8] => 00001010010 => 01001010000 => 10110101111
[2,3,4,5,6,1,8,9,10,11,12,7] => 00001000001 => 10000010000 => 01111101111
[8,3,4,5,9,7,1,10,6,2,12,11] => 10001101101 => 10110110001 => 01001001110
[10,3,4,5,11,7,1,9,6,12,8,2] => 10001101011 => 11010110001 => 00101001110
[6,3,4,5,7,8,9,10,1,2,12,11] => 10000001001 => 10010000001 => 01101111110
[6,3,4,5,9,10,8,12,11,2,7,1] => 10000101101 => 10110100001 => 01001011110
[6,3,4,5,7,8,9,10,11,12,1,2] => 10000000010 => 01000000001 => 10111111110
[2,5,4,6,7,1,8,3,10,9,12,11] => 01001010101 => 10101010010 => 01010101101
[2,5,4,6,7,1,8,3,10,11,12,9] => 01001010001 => 10001010010 => 01110101101
[8,5,4,6,7,1,9,10,3,2,12,11] => 11001001101 => 10110010011 => 01001101100
[2,7,4,8,6,1,9,5,10,3,12,11] => 01011010101 => 10101011010 => 01010100101
[2,9,4,10,6,1,8,5,11,7,12,3] => 01011010101 => 10101011010 => 01010100101
[2,7,4,8,6,1,9,10,11,5,12,3] => 01011000101 => 10100011010 => 01011100101
[2,5,4,6,7,8,9,10,11,1,12,3] => 01000000101 => 10100000010 => 01011111101
[2,3,4,5,6,7,8,1,10,9,12,11] => 00000010101 => 10101000000 => 01010111111
[2,3,4,5,6,7,8,1,10,11,12,9] => 00000010001 => 10001000000 => 01110111111
[8,3,4,5,6,7,9,10,1,2,12,11] => 10000001001 => 10010000001 => 01101111110
[8,3,4,5,6,7,9,10,11,12,1,2] => 10000000010 => 01000000001 => 10111111110
[2,7,4,5,6,8,9,10,11,1,12,3] => 01000000101 => 10100000010 => 01011111101
[2,3,4,5,6,7,8,9,10,1,12,11] => 00000000101 => 10100000000 => 01011111111
[10,3,4,5,6,7,8,9,11,12,1,2] => 10000000010 => 01000000001 => 10111111110
[2,9,4,5,6,7,8,10,11,1,12,3] => 01000000101 => 10100000010 => 01011111101
[2,3,4,7,6,8,9,1,10,11,12,5] => 00010010001 => 10001001000 => 01110110111
[5,4,7,6,3,1,2,8] => 1011100 => 0011101 => 1100010
[3,6,4,8,1,5,2,7] => 0101010 => 0101010 => 1010101
[3,6,8,4,1,5,2,7] => 0011010 => 0101100 => 1010011
[8,7,1,4,2,3,5,6] => 1101000 => 0001011 => 1110100
[3,8,6,4,1,5,2,7] => 0111010 => 0101110 => 1010001
[8,2,6,5,7,1,3,4] => 1010100 => 0010101 => 1101010
[4,6,1,3,2,8,7,5] => 0101011 => 1101010 => 0010101
[7,1,4,8,2,3,6,5] => 1001001 => 1001001 => 0110110
[4,5,3,6,7,1,8,2] => 0100101 => 1010010 => 0101101
[1,4,7,8,3,5,2,6] => 0001010 => 0101000 => 1010111
[4,6,1,3,5,2,8,7] => 0100101 => 1010010 => 0101101
[2,5,1,4,8,3,7,6] => 0100101 => 1010010 => 0101101
[6,1,2,5,4,8,7,3] => 1001011 => 1101001 => 0010110
[8,4,1,7,3,5,6,2] => 1101001 => 1001011 => 0110100
[8,4,1,2,5,7,3,6] => 1100010 => 0100011 => 1011100
[2,4,5,6,8,3,1,7] => 0000110 => 0110000 => 1001111
[3,4,5,8,6,2,1,7] => 0001110 => 0111000 => 1000111
[4,5,1,8,6,3,7,2] => 0101101 => 1011010 => 0100101
[1,8,2,3,4,5,9,6,7] => 01000010 => 01000010 => 10111101
[1,3,4,5,6,8,9,2,7] => 00000010 => 01000000 => 10111111
[8,3,7,2,1,6,5,4] => 1011011 => 1101101 => 0010010
[8,4,7,6,2,5,1,3] => 1011010 => 0101101 => 1010010
[8,4,7,3,6,2,1,5] => 1010110 => 0110101 => 1001010
[3,8,7,5,6,4,1,2] => 0110110 => 0110110 => 1001001
[3,8,7,5,6,2,1,4] => 0110110 => 0110110 => 1001001
[3,8,7,5,6,2,4,1] => 0110101 => 1010110 => 0101001
[2,8,7,5,6,4,1,3] => 0110110 => 0110110 => 1001001
[4,5,2,3,6,7,8,9,1] => 01000001 => 10000010 => 01111101
[4,3,2,5,6,7,8,9,1] => 11000001 => 10000011 => 01111100
[5,6,7,2,3,4,8,9,1] => 00100001 => 10000100 => 01111011
[5,3,6,2,4,7,8,9,1] => 10100001 => 10000101 => 01111010
[5,4,3,2,6,7,8,9,1] => 11100001 => 10000111 => 01111000
[6,3,7,8,2,4,5,9,1] => 10010001 => 10001001 => 01110110
[6,7,4,5,2,3,8,9,1] => 01010001 => 10001010 => 01110101
[6,4,3,7,2,5,8,9,1] => 11010001 => 10001011 => 01110100
[7,8,4,5,9,2,3,6,1] => 01001001 => 10010010 => 01101101
[7,4,3,8,9,2,5,6,1] => 11001001 => 10010011 => 01101100
[7,5,8,3,6,2,4,9,1] => 10101001 => 10010101 => 01101010
[7,5,4,3,8,2,6,9,1] => 11101001 => 10010111 => 01101000
[7,6,5,4,3,2,8,9,1] => 11111001 => 10011111 => 01100000
[8,6,4,9,3,7,2,5,1] => 11010101 => 10101011 => 01010100
[8,6,5,4,3,9,2,7,1] => 11110101 => 10101111 => 01010000
[4,5,2,3,6,7,8,9,10,1] => 010000001 => 100000010 => 011111101
[4,3,2,5,6,7,8,9,10,1] => 110000001 => 100000011 => 011111100
[5,6,7,2,3,4,8,9,10,1] => 001000001 => 100000100 => 011111011
[5,3,6,2,4,7,8,9,10,1] => 101000001 => 100000101 => 011111010
[5,4,3,2,6,7,8,9,10,1] => 111000001 => 100000111 => 011111000
[6,7,8,9,2,3,4,5,10,1] => 000100001 => 100001000 => 011110111
[6,3,7,8,2,4,5,9,10,1] => 100100001 => 100001001 => 011110110
[6,7,4,5,2,3,8,9,10,1] => 010100001 => 100001010 => 011110101
[6,4,3,7,2,5,8,9,10,1] => 110100001 => 100001011 => 011110100
[6,5,4,3,2,7,8,9,10,1] => 111100001 => 100001111 => 011110000
[7,8,9,10,1,3,4,5,6,2] => 000100001 => 100001000 => 011110111
[7,3,8,9,10,2,4,5,6,1] => 100010001 => 100010001 => 011101110
[7,4,3,8,9,2,5,6,10,1] => 110010001 => 100010011 => 011101100
[7,5,8,3,6,2,4,9,10,1] => 101010001 => 100010101 => 011101010
[7,5,4,3,8,2,6,9,10,1] => 111010001 => 100010111 => 011101000
[7,6,5,4,3,2,8,9,10,1] => 111110001 => 100011111 => 011100000
[8,5,9,3,6,10,2,4,7,1] => 101001001 => 100100101 => 011011010
[8,5,4,3,9,10,2,6,7,1] => 111001001 => 100100111 => 011011000
[8,9,6,7,4,5,2,3,10,1] => 010101001 => 100101010 => 011010101
[8,6,4,9,3,7,2,5,10,1] => 110101001 => 100101011 => 011010100
[8,6,5,4,3,9,2,7,10,1] => 111101001 => 100101111 => 011010000
[8,7,6,5,4,3,2,9,10,1] => 111111001 => 100111111 => 011000000
[9,7,5,4,10,3,8,2,6,1] => 111010101 => 101010111 => 010101000
[9,7,6,5,4,3,10,2,8,1] => 111110101 => 101011111 => 010100000
[10,1,9,2,8,3,7,4,6,5] => 101010101 => 101010101 => 010101010
[1,5,6,3,8,2,7,4] => 0010101 => 1010100 => 0101011
[2,6,3,8,4,7,1,5] => 0101010 => 0101010 => 1010101
[2,6,3,5,7,8,1,4] => 0100010 => 0100010 => 1011101
[1,5,6,3,7,2,8,4] => 0010101 => 1010100 => 0101011
[1,7,5,3,6,2,8,4] => 0110101 => 1010110 => 0101001
[1,5,7,3,4,2,8,6] => 0010101 => 1010100 => 0101011
[1,5,8,3,4,2,7,6] => 0010101 => 1010100 => 0101011
[1,4,5,3,7,2,8,6] => 0010101 => 1010100 => 0101011
[1,4,5,3,8,2,7,6] => 0010101 => 1010100 => 0101011
[6,5,1,4,2,7,8,3] => 1101001 => 1001011 => 0110100
[6,5,1,4,2,8,7,3] => 1101011 => 1101011 => 0010100
[1,7,5,4,2,8,6,3] => 0111011 => 1101110 => 0010001
[5,1,6,8,3,7,2,4] => 1001010 => 0101001 => 1010110
[1,2,3,4,5,6,7,8,9,10,11] => 0000000000 => 0000000000 => 1111111111
[1,4,3,6,5,10,9,7,8,2] => 010101101 => 101101010 => 010010101
[1,4,3,8,7,5,6,10,9,2] => 010110011 => 110011010 => 001100101
[1,4,3,10,7,5,9,6,8,2] => 010110101 => 101011010 => 010100101
[1,4,3,10,9,8,5,6,7,2] => 010111001 => 100111010 => 011000101
[1,6,5,3,4,8,7,10,9,2] => 011001011 => 110100110 => 001011001
[1,6,5,3,4,10,9,7,8,2] => 011001101 => 101100110 => 010011001
[1,8,5,3,7,4,6,10,9,2] => 011010011 => 110010110 => 001101001
[1,10,5,3,7,4,9,6,8,2] => 011010101 => 101010110 => 010101001
[1,10,5,3,9,8,4,6,7,2] => 011011001 => 100110110 => 011001001
[1,8,7,6,3,4,5,10,9,2] => 011100011 => 110001110 => 001110001
[1,10,7,6,3,4,9,5,8,2] => 011100101 => 101001110 => 010110001
[1,10,9,6,3,8,4,5,7,2] => 011101001 => 100101110 => 011010001
[1,10,9,8,7,3,4,5,6,2] => 011110001 => 100011110 => 011100001
[3,1,2,6,5,8,7,10,9,4] => 100101011 => 110101001 => 001010110
[3,1,2,6,5,10,9,7,8,4] => 100101101 => 101101001 => 010010110
[3,1,2,8,7,5,6,10,9,4] => 100110011 => 110011001 => 001100110
[3,1,2,10,7,5,9,6,8,4] => 100110101 => 101011001 => 010100110
[3,1,2,10,9,8,5,6,7,4] => 100111001 => 100111001 => 011000110
[3,1,5,2,4,8,7,10,9,6] => 101001011 => 110100101 => 001011010
[3,1,5,2,4,10,9,7,8,6] => 101001101 => 101100101 => 010011010
[3,1,5,2,7,4,6,10,9,8] => 101010011 => 110010101 => 001101010
[3,1,5,2,9,8,4,6,7,10] => 101011000 => 000110101 => 111001010
[3,1,7,6,2,4,5,10,9,8] => 101100011 => 110001101 => 001110010
[3,1,7,6,2,4,9,5,8,10] => 101100100 => 001001101 => 110110010
[3,1,9,6,2,8,4,5,7,10] => 101101000 => 000101101 => 111010010
[3,1,9,8,7,2,4,5,6,10] => 101110000 => 000011101 => 111100010
[5,4,1,2,3,8,7,10,9,6] => 110001011 => 110100011 => 001011100
[5,4,1,2,3,10,9,7,8,6] => 110001101 => 101100011 => 010011100
[5,4,1,2,7,3,6,10,9,8] => 110010011 => 110010011 => 001101100
[5,4,1,2,7,3,9,6,8,10] => 110010100 => 001010011 => 110101100
[5,4,1,2,9,8,3,6,7,10] => 110011000 => 000110011 => 111001100
[7,4,1,6,2,3,5,10,9,8] => 110100011 => 110001011 => 001110100
[7,4,1,6,2,3,9,5,8,10] => 110100100 => 001001011 => 110110100
[9,4,1,6,2,8,3,5,7,10] => 110101000 => 000101011 => 111010100
[9,4,1,8,7,2,3,5,6,10] => 110110000 => 000011011 => 111100100
[7,6,5,1,2,3,4,10,9,8] => 111000011 => 110000111 => 001111000
[7,6,5,1,2,3,9,4,8,10] => 111000100 => 001000111 => 110111000
[9,6,5,1,2,8,3,4,7,10] => 111001000 => 000100111 => 111011000
[9,8,5,1,7,2,3,4,6,10] => 111010000 => 000010111 => 111101000
[1,4,3,6,5,8,7,12,11,9,10,2] => 01010101101 => 10110101010 => 01001010101
[1,4,3,6,5,10,9,7,8,12,11,2] => 01010110011 => 11001101010 => 00110010101
[1,4,3,6,5,12,9,7,11,8,10,2] => 01010110101 => 10101101010 => 01010010101
[1,4,3,8,7,5,6,10,9,12,11,2] => 01011001011 => 11010011010 => 00101100101
[1,4,3,8,7,5,6,12,11,9,10,2] => 01011001101 => 10110011010 => 01001100101
[1,4,3,10,7,5,9,6,8,12,11,2] => 01011010011 => 11001011010 => 00110100101
[1,4,3,12,7,5,9,6,11,8,10,2] => 01011010101 => 10101011010 => 01010100101
[1,4,3,12,11,10,9,5,6,7,8,2] => 01011110001 => 10001111010 => 01110000101
[1,6,5,3,4,8,7,10,9,12,11,2] => 01100101011 => 11010100110 => 00101011001
[1,6,5,3,4,8,7,12,11,9,10,2] => 01100101101 => 10110100110 => 01001011001
[1,6,5,3,4,10,9,7,8,12,11,2] => 01100110011 => 11001100110 => 00110011001
[1,6,5,3,4,12,9,7,11,8,10,2] => 01100110101 => 10101100110 => 01010011001
[1,8,5,3,7,4,6,10,9,12,11,2] => 01101001011 => 11010010110 => 00101101001
[1,8,5,3,7,4,6,12,11,9,10,2] => 01101001101 => 10110010110 => 01001101001
[1,10,5,3,7,4,9,6,8,12,11,2] => 01101010011 => 11001010110 => 00110101001
[1,12,5,3,7,4,9,6,11,8,10,2] => 01101010101 => 10101010110 => 01010101001
[1,10,9,6,3,8,4,5,7,12,11,2] => 01110100011 => 11000101110 => 00111010001
[1,12,11,6,3,8,4,10,5,7,9,2] => 01110101001 => 10010101110 => 01101010001
[3,1,2,6,5,8,7,10,9,12,11,4] => 10010101011 => 11010101001 => 00101010110
[3,1,2,6,5,8,7,12,11,9,10,4] => 10010101101 => 10110101001 => 01001010110
[3,1,2,6,5,10,9,7,8,12,11,4] => 10010110011 => 11001101001 => 00110010110
[3,1,2,6,5,12,9,7,11,8,10,4] => 10010110101 => 10101101001 => 01010010110
[3,1,2,8,7,5,6,10,9,12,11,4] => 10011001011 => 11010011001 => 00101100110
[3,1,2,8,7,5,6,12,11,9,10,4] => 10011001101 => 10110011001 => 01001100110
[3,1,2,10,7,5,9,6,8,12,11,4] => 10011010011 => 11001011001 => 00110100110
[3,1,2,12,7,5,9,6,11,8,10,4] => 10011010101 => 10101011001 => 01010100110
[3,1,2,12,11,8,5,10,6,7,9,4] => 10011101001 => 10010111001 => 01101000110
[3,1,5,2,4,8,7,10,9,12,11,6] => 10100101011 => 11010100101 => 00101011010
[3,1,5,2,4,8,7,12,11,9,10,6] => 10100101101 => 10110100101 => 01001011010
[3,1,5,2,4,10,9,7,8,12,11,6] => 10100110011 => 11001100101 => 00110011010
[3,1,5,2,4,12,9,7,11,8,10,6] => 10100110101 => 10101100101 => 01010011010
[3,1,5,2,7,4,6,10,9,12,11,8] => 10101001011 => 11010010101 => 00101101010
[3,1,5,2,7,4,6,12,11,9,10,8] => 10101001101 => 10110010101 => 01001101010
[3,1,5,2,7,4,9,6,8,12,11,10] => 10101010011 => 11001010101 => 00110101010
[3,1,5,2,7,4,9,6,11,8,10,12] => 10101010100 => 00101010101 => 11010101010
[3,1,5,2,7,4,11,10,6,8,9,12] => 10101011000 => 00011010101 => 11100101010
[3,1,5,2,9,8,4,6,11,7,10,12] => 10101100100 => 00100110101 => 11011001010
[3,1,5,2,11,8,4,10,6,7,9,12] => 10101101000 => 00010110101 => 11101001010
[3,1,5,2,11,10,9,4,6,7,8,12] => 10101110000 => 00001110101 => 11110001010
[3,1,7,6,2,4,5,10,9,12,11,8] => 10110001011 => 11010001101 => 00101110010
[3,1,7,6,2,4,9,5,8,12,11,10] => 10110010011 => 11001001101 => 00110110010
[3,1,7,6,2,4,9,5,11,8,10,12] => 10110010100 => 00101001101 => 11010110010
[3,1,7,6,2,4,11,10,5,8,9,12] => 10110011000 => 00011001101 => 11100110010
[3,1,9,6,2,8,4,5,11,7,10,12] => 10110100100 => 00100101101 => 11011010010
[3,1,11,6,2,8,4,10,5,7,9,12] => 10110101000 => 00010101101 => 11101010010
[3,1,11,6,2,10,9,4,5,7,8,12] => 10110110000 => 00001101101 => 11110010010
[3,1,9,8,7,2,4,5,11,6,10,12] => 10111000100 => 00100011101 => 11011100010
[3,1,11,8,7,2,4,10,5,6,9,12] => 10111001000 => 00010011101 => 11101100010
[3,1,11,10,7,2,9,4,5,6,8,12] => 10111010000 => 00001011101 => 11110100010
[3,1,11,10,9,8,2,4,5,6,7,12] => 10111100000 => 00000111101 => 11111000010
[5,4,1,2,7,3,6,12,11,9,10,8] => 11001001101 => 10110010011 => 01001101100
[5,4,1,2,7,3,9,6,11,8,10,12] => 11001010100 => 00101010011 => 11010101100
[5,4,1,2,7,3,11,10,6,8,9,12] => 11001011000 => 00011010011 => 11100101100
[5,4,1,2,9,8,3,6,11,7,10,12] => 11001100100 => 00100110011 => 11011001100
[5,4,1,2,11,8,3,10,6,7,9,12] => 11001101000 => 00010110011 => 11101001100
[5,4,1,2,11,10,9,3,6,7,8,12] => 11001110000 => 00001110011 => 11110001100
[7,4,1,6,2,3,9,5,8,12,11,10] => 11010010011 => 11001001011 => 00110110100
[7,4,1,6,2,3,9,5,11,8,10,12] => 11010010100 => 00101001011 => 11010110100
[7,4,1,6,2,3,11,10,5,8,9,12] => 11010011000 => 00011001011 => 11100110100
[9,4,1,6,2,8,3,5,11,7,10,12] => 11010100100 => 00100101011 => 11011010100
[11,4,1,6,2,8,3,10,5,7,9,12] => 11010101000 => 00010101011 => 11101010100
[11,4,1,6,2,10,9,3,5,7,8,12] => 11010110000 => 00001101011 => 11110010100
[9,4,1,8,7,2,3,5,11,6,10,12] => 11011000100 => 00100011011 => 11011100100
[11,4,1,8,7,2,3,10,5,6,9,12] => 11011001000 => 00010011011 => 11101100100
[11,4,1,10,7,2,9,3,5,6,8,12] => 11011010000 => 00001011011 => 11110100100
[11,4,1,10,9,8,2,3,5,6,7,12] => 11011100000 => 00000111011 => 11111000100
[7,6,5,1,2,3,9,4,8,12,11,10] => 11100010011 => 11001000111 => 00110111000
[7,6,5,1,2,3,9,4,11,8,10,12] => 11100010100 => 00101000111 => 11010111000
[7,6,5,1,2,3,11,10,4,8,9,12] => 11100011000 => 00011000111 => 11100111000
[9,6,5,1,2,8,3,4,7,12,11,10] => 11100100011 => 11000100111 => 00111011000
[9,6,5,1,2,8,3,4,11,7,10,12] => 11100100100 => 00100100111 => 11011011000
[11,6,5,1,2,8,3,10,4,7,9,12] => 11100101000 => 00010100111 => 11101011000
[11,6,5,1,2,10,9,3,4,7,8,12] => 11100110000 => 00001100111 => 11110011000
[9,8,5,1,7,2,3,4,11,6,10,12] => 11101000100 => 00100010111 => 11011101000
[11,8,5,1,7,2,3,10,4,6,9,12] => 11101001000 => 00010010111 => 11101101000
[11,10,5,1,7,2,9,3,4,6,8,12] => 11101010000 => 00001010111 => 11110101000
[11,10,5,1,9,8,2,3,4,6,7,12] => 11101100000 => 00000110111 => 11111001000
[9,8,7,6,1,2,3,4,11,5,10,12] => 11110000100 => 00100001111 => 11011110000
[11,8,7,6,1,2,3,10,4,5,9,12] => 11110001000 => 00010001111 => 11101110000
[11,10,7,6,1,2,9,3,4,5,8,12] => 11110010000 => 00001001111 => 11110110000
[11,10,9,6,1,8,2,3,4,5,7,12] => 11110100000 => 00000101111 => 11111010000
[11,10,9,8,7,1,2,3,4,5,6,12] => 11111000000 => 00000011111 => 11111100000
[3,8,5,2,1,4,7,6] => 0111001 => 1001110 => 0110001
[3,5,4,8,2,6,7,1] => 0101001 => 1001010 => 0110101
[5,4,7,1,8,6,3,2] => 1010111 => 1110101 => 0001010
[2,4,1,5,3,6,7,8,9] => 01010000 => 00001010 => 11110101
[1,4,8,2,6,5,3,7] => 0010110 => 0110100 => 1001011
[8,5,1,3,6,2,4,7] => 1100100 => 0010011 => 1101100
[7,5,1,8,3,4,2,6] => 1101010 => 0101011 => 1010100
[5,2,8,1,7,4,3,6] => 1010110 => 0110101 => 1001010
[1,4,8,2,6,7,3,5] => 0010010 => 0100100 => 1011011
[1,2,5,6,8,7,3,4] => 0000110 => 0110000 => 1001111
[1,5,6,8,2,7,4,3] => 0001011 => 1101000 => 0010111
[2,6,7,3,4,1,8,5] => 0010101 => 1010100 => 0101011
[1,6,5,7,8,2,4,3] => 0100101 => 1010010 => 0101101
[1,5,6,7,2,8,4,3] => 0001011 => 1101000 => 0010111
[3,7,6,1,8,2,4,5] => 0110100 => 0010110 => 1101001
[1,3,7,2,6,4,8,5] => 0010101 => 1010100 => 0101011
[1,5,8,6,7,3,4,2] => 0010101 => 1010100 => 0101011
[1,6,5,8,7,2,4,3] => 0101101 => 1011010 => 0100101
[1,5,7,6,2,8,3,4] => 0011010 => 0101100 => 1010011
[1,2,5,8,6,7,4,3] => 0001011 => 1101000 => 0010111
[1,2,6,5,7,3,8,4] => 0010101 => 1010100 => 0101011
[1,7,5,8,6,4,2,3] => 0101110 => 0111010 => 1000101
[3,6,5,8,1,2,7,4] => 0101001 => 1001010 => 0110101
[5,4,7,8,1,6,3,2] => 1001011 => 1101001 => 0010110
[2,5,6,8,1,3,7,4] => 0001001 => 1001000 => 0110111
[5,3,6,8,1,2,7,4] => 1001001 => 1001001 => 0110110
[4,6,5,8,3,2,7,1] => 0101101 => 1011010 => 0100101
[4,5,6,8,2,3,7,1] => 0001001 => 1001000 => 0110111
[2,5,8,7,1,6,4,3] => 0011011 => 1101100 => 0010011
[4,7,5,8,3,6,2,1] => 0101011 => 1101010 => 0010101
[7,3,6,8,5,2,1,4] => 1001110 => 0111001 => 1000110
[8,3,6,7,5,2,4,1] => 1001101 => 1011001 => 0100110
[8,4,5,7,3,6,2,1] => 1001011 => 1101001 => 0010110
[2,4,7,8,5,6,3,1] => 0001011 => 1101000 => 0010111
[3,6,8,7,5,2,4,1] => 0011101 => 1011100 => 0100011
[6,4,7,8,5,1,3,2] => 1001101 => 1011001 => 0100110
[7,8,4,6,5,3,1,2] => 0101110 => 0111010 => 1000101
[6,8,4,7,5,1,3,2] => 0101101 => 1011010 => 0100101
[4,5,6,7,8,3,9,1,2] => 00001010 => 01010000 => 10101111
[8,9,2,3,4,5,1,6,7] => 01000100 => 00100010 => 11011101
[5,6,7,4,8,9,1,2,3] => 00100100 => 00100100 => 11011011
[7,8,9,2,3,1,4,5,6] => 00101000 => 00010100 => 11101011
[6,5,7,8,9,1,2,3,4] => 10001000 => 00010001 => 11101110
[7,6,1,2,3,5,4,8] => 1100010 => 0100011 => 1011100
[2,8,7,5,1,6,3,4] => 0111010 => 0101110 => 1010001
[8,7,6,4,2,1,5,3] => 1111101 => 1011111 => 0100000
[3,8,7,5,2,6,4,1] => 0111011 => 1101110 => 0010001
[3,8,7,5,1,2,6,4] => 0111001 => 1001110 => 0110001
[5,8,3,7,1,4,6,2] => 0101001 => 1001010 => 0110101
[3,8,7,4,2,6,5,1] => 0111011 => 1101110 => 0010001
[5,8,3,2,4,7,6,1] => 0110011 => 1100110 => 0011001
[5,3,8,2,4,6,1,7] => 1010010 => 0100101 => 1011010
[4,5,8,3,2,6,1,7] => 0011010 => 0101100 => 1010011
[5,8,2,1,4,6,3,7] => 0110010 => 0100110 => 1011001
[4,1,5,8,3,6,2,7] => 1001010 => 0101001 => 1010110
[4,5,8,3,6,1,2,7] => 0010100 => 0010100 => 1101011
[3,2,7,1,8,5,4,6] => 1010110 => 0110101 => 1001010
[4,7,8,5,2,3,1,6] => 0011010 => 0101100 => 1010011
[6,2,7,8,1,5,3,4] => 1001010 => 0101001 => 1010110
[2,7,1,3,8,5,4,6] => 0100110 => 0110010 => 1001101
[2,6,7,8,4,1,3,5] => 0001100 => 0011000 => 1100111
[2,6,7,8,4,3,1,5] => 0001110 => 0111000 => 1000111
[7,1,2,3,4,5,8,6,9] => 10000010 => 01000001 => 10111110
[6,1,2,3,4,7,5,8,9] => 10000100 => 00100001 => 11011110
[5,1,2,3,6,4,7,8,9] => 10001000 => 00010001 => 11101110
[4,1,2,5,3,6,7,8,9] => 10010000 => 00001001 => 11110110
[7,1,2,6,3,8,4,5] => 1001010 => 0101001 => 1010110
[8,1,2,6,5,3,7,4] => 1001101 => 1011001 => 0100110
[7,4,1,8,2,5,3,6] => 1101010 => 0101011 => 1010100
[7,2,1,8,3,6,4,5] => 1101010 => 0101011 => 1010100
[6,8,7,3,1,2,4,5] => 0111000 => 0001110 => 1110001
[7,4,8,3,1,2,6,5] => 1011001 => 1001101 => 0110010
[8,4,5,3,1,6,7,2] => 1011001 => 1001101 => 0110010
[8,2,3,1,6,7,4,5] => 1010010 => 0100101 => 1011010
[8,2,1,7,4,3,5,6] => 1101100 => 0011011 => 1100100
[7,2,6,8,4,1,3,5] => 1001100 => 0011001 => 1100110
[7,2,5,1,6,8,3,4] => 1010010 => 0100101 => 1011010
[6,2,1,7,4,8,3,5] => 1101010 => 0101011 => 1010100
[1,7,4,3,2,5,6,8] => 0111000 => 0001110 => 1110001
[1,7,4,3,6,2,5,8] => 0110100 => 0010110 => 1101001
[3,7,5,8,2,4,6,1] => 0101001 => 1001010 => 0110101
[5,2,1,6,3,4,8,7] => 1101001 => 1001011 => 0110100
[5,1,3,4,6,2,8,7] => 1000101 => 1010001 => 0101110
[3,8,4,5,7,2,6,1] => 0100101 => 1010010 => 0101101
[3,8,4,7,5,6,2,1] => 0101011 => 1101010 => 0010101
[4,2,8,6,3,7,5,1] => 1011011 => 1101101 => 0010010
[4,1,7,6,3,8,5,2] => 1011011 => 1101101 => 0010010
[7,4,1,8,5,3,6,2] => 1101101 => 1011011 => 0100100
[3,5,6,8,4,7,1,2] => 0001010 => 0101000 => 1010111
[5,4,1,8,6,7,2,3] => 1101010 => 0101011 => 1010100
[6,2,8,4,5,3,7,1] => 1010101 => 1010101 => 0101010
[4,5,2,1,8,7,3,6] => 0110110 => 0110110 => 1001001
[4,7,3,8,2,6,5,1] => 0101011 => 1101010 => 0010101
[4,7,3,1,8,6,2,5] => 0110110 => 0110110 => 1001001
[6,2,1,3,7,4,8,5] => 1100101 => 1010011 => 0101100
[6,3,7,1,2,5,8,4] => 1010001 => 1000101 => 0111010
[5,1,4,7,8,2,6,3] => 1000101 => 1010001 => 0101110
[7,2,5,8,1,3,6,4] => 1001001 => 1001001 => 0110110
[8,3,6,7,2,4,5,1] => 1001001 => 1001001 => 0110110
[3,8,7,5,2,1,6,4] => 0111101 => 1011110 => 0100001
[3,8,5,6,2,7,4,1] => 0101011 => 1101010 => 0010101
[3,6,5,8,4,2,7,1] => 0101101 => 1011010 => 0100101
[6,8,3,2,5,7,4,1] => 0110011 => 1100110 => 0011001
[4,1,5,6,8,7,3,2] => 1000111 => 1110001 => 0001110
[8,4,2,3,6,7,5,1] => 1100011 => 1100011 => 0011100
[6,1,2,4,5,7,8,3] => 1000001 => 1000001 => 0111110
[4,5,1,3,7,6,8,2] => 0100101 => 1010010 => 0101101
[3,5,4,8,6,2,7,1] => 0101101 => 1011010 => 0100101
[3,6,2,4,5,8,7,1] => 0100011 => 1100010 => 0011101
[8,1,2,3,4,5,9,7,6] => 10000011 => 11000001 => 00111110
[8,1,2,3,4,9,6,7,5] => 10000101 => 10100001 => 01011110
[9,1,2,3,8,5,6,7,4] => 10001001 => 10010001 => 01101110
[8,1,3,7,4,5,6,2] => 1001001 => 1001001 => 0110110
[9,1,2,3,4,5,6,10,8,7] => 100000011 => 110000001 => 001111110
[9,1,2,3,4,5,10,7,8,6] => 100000101 => 101000001 => 010111110
[10,1,2,3,4,9,6,7,8,5] => 100001001 => 100100001 => 011011110
[10,1,9,3,4,5,6,7,8,2] => 101000001 => 100000101 => 011111010
[10,1,2,3,4,5,6,8,9,7] => 100000001 => 100000001 => 011111110
[9,1,2,3,4,6,7,8,5] => 10000001 => 10000001 => 01111110
[8,1,5,3,6,4,7,2] => 1010101 => 1010101 => 0101010
[2,6,4,8,3,1,5,7] => 0101100 => 0011010 => 1100101
[2,6,4,1,5,8,7,3] => 0110011 => 1100110 => 0011001
[7,6,5,2,4,3,8,1] => 1110101 => 1010111 => 0101000
[3,6,4,5,2,8,1,7] => 0101010 => 0101010 => 1010101
[8,1,5,4,7,3,6,2] => 1010101 => 1010101 => 0101010
[7,6,5,4,1,8,2,3] => 1111010 => 0101111 => 1010000
[3,6,4,1,5,7,2,8] => 0110010 => 0100110 => 1011001
[8,1,5,4,7,6,3,2] => 1010111 => 1110101 => 0001010
[2,5,1,4,6,7,3,8] => 0100010 => 0100010 => 1011101
[3,6,4,1,5,7,8,2] => 0110001 => 1000110 => 0111001
[7,6,5,2,8,4,1,3] => 1110110 => 0110111 => 1001000
[3,1,6,5,2,8,7,4] => 1011011 => 1101101 => 0010010
[1,7,2,4,3,5,8,6] => 0101001 => 1001010 => 0110101
[3,8,1,7,4,2,6,5] => 0101101 => 1011010 => 0100101
[8,1,7,4,3,5,6,2] => 1011001 => 1001101 => 0110010
[6,8,2,4,5,3,7,1] => 0100101 => 1010010 => 0101101
[4,8,5,3,6,1,7,2] => 0110101 => 1010110 => 0101001
[2,8,3,1,4,7,5,6] => 0110010 => 0100110 => 1011001
[8,6,3,2,7,4,1,5] => 1110110 => 0110111 => 1001000
[2,7,3,1,8,4,5,6] => 0110100 => 0010110 => 1101001
[1,2,8,3,5,6,4,7] => 0010010 => 0100100 => 1011011
[3,5,7,4,8,1,6,2] => 0010101 => 1010100 => 0101011
[2,8,1,3,5,4,6,7] => 0100100 => 0010010 => 1101101
[1,3,2,10,6,5,4,9,8,7] => 010111011 => 110111010 => 001000101
[1,6,3,2,5,4,10,9,8,7] => 011010111 => 111010110 => 000101001
[1,6,3,2,10,5,4,9,8,7] => 011011011 => 110110110 => 001001001
[1,10,6,3,2,5,4,9,8,7] => 011101011 => 110101110 => 001010001
[1,6,3,2,10,9,5,4,8,7] => 011011101 => 101110110 => 010001001
[1,10,6,3,2,9,5,4,8,7] => 011101101 => 101101110 => 010010001
[3,1,2,6,5,4,10,9,8,7] => 100110111 => 111011001 => 000100110
[3,1,2,10,6,5,4,9,8,7] => 100111011 => 110111001 => 001000110
[3,1,6,2,5,4,10,9,8,7] => 101010111 => 111010101 => 000101010
[3,1,6,2,10,5,4,9,8,7] => 101011011 => 110110101 => 001001010
[3,1,10,6,2,5,4,9,8,7] => 101101011 => 110101101 => 001010010
[3,1,6,2,10,9,5,4,8,7] => 101011101 => 101110101 => 010001010
[3,1,10,6,2,9,5,4,8,7] => 101101101 => 101101101 => 010010010
[6,3,1,2,5,4,10,9,8,7] => 110010111 => 111010011 => 000101100
[6,3,1,2,10,5,4,9,8,7] => 110011011 => 110110011 => 001001100
[6,3,1,10,2,5,4,9,8,7] => 110101011 => 110101011 => 001010100
[10,6,3,1,2,5,4,9,8,7] => 111001011 => 110100111 => 001011000
[6,3,1,2,10,9,5,4,8,7] => 110011101 => 101110011 => 010001100
[6,3,1,10,2,9,5,4,8,7] => 110101101 => 101101011 => 010010100
[10,6,3,1,2,9,5,4,8,7] => 111001101 => 101100111 => 010011000
[3,1,6,5,2,4,10,9,8,7] => 101100111 => 111001101 => 000110010
[3,1,6,5,2,10,4,9,8,7] => 101101011 => 110101101 => 001010010
[3,1,10,6,5,2,4,9,8,7] => 101110011 => 110011101 => 001100010
[3,1,6,5,2,10,9,4,8,7] => 101101101 => 101101101 => 010010010
[3,1,10,6,5,2,9,4,8,7] => 101110101 => 101011101 => 010100010
[6,3,1,5,2,4,10,9,8,7] => 110100111 => 111001011 => 000110100
[6,3,1,5,2,10,4,9,8,7] => 110101011 => 110101011 => 001010100
[6,3,1,10,5,2,4,9,8,7] => 110110011 => 110011011 => 001100100
[10,6,3,1,5,2,4,9,8,7] => 111010011 => 110010111 => 001101000
[6,3,1,5,2,10,9,4,8,7] => 110101101 => 101101011 => 010010100
[6,3,1,10,5,2,9,4,8,7] => 110110101 => 101011011 => 010100100
[10,6,3,1,5,2,9,4,8,7] => 111010101 => 101010111 => 010101000
[6,3,1,10,9,5,2,4,8,7] => 110111001 => 100111011 => 011000100
[10,6,3,1,9,5,2,4,8,7] => 111011001 => 100110111 => 011001000
[3,1,6,5,2,10,9,8,4,7] => 101101110 => 011101101 => 100010010
[3,1,10,6,5,2,9,8,4,7] => 101110110 => 011011101 => 100100010
[6,3,1,5,2,10,9,8,4,7] => 110101110 => 011101011 => 100010100
[6,3,1,10,5,2,9,8,4,7] => 110110110 => 011011011 => 100100100
[10,6,3,1,5,2,9,8,4,7] => 111010110 => 011010111 => 100101000
[6,3,1,10,9,5,2,8,4,7] => 110111010 => 010111011 => 101000100
[1,5,2,8,6,4,3,7] => 0101110 => 0111010 => 1000101
[7,4,8,6,3,1,2,5] => 1011100 => 0011101 => 1100010
[3,6,8,4,1,2,5,7] => 0011000 => 0001100 => 1110011
[4,7,8,5,2,1,3,6] => 0011100 => 0011100 => 1100011
[6,1,5,2,8,7,3,4] => 1010110 => 0110101 => 1001010
[8,1,3,5,7,4,2,6] => 1000110 => 0110001 => 1001110
[3,1,8,5,4,7,2,6] => 1011010 => 0101101 => 1010010
[3,1,6,4,8,5,2,7] => 1010110 => 0110101 => 1001010
[5,1,3,4,2,6,8,7] => 1001001 => 1001001 => 0110110
[3,2,6,4,1,5,7,8] => 1011000 => 0001101 => 1110010
[5,4,2,1,8,3,6,7] => 1110100 => 0010111 => 1101000
[4,2,5,1,8,7,3,6] => 1010110 => 0110101 => 1001010
[6,8,2,7,1,4,3,5] => 0101010 => 0101010 => 1010101
[1,8,4,7,3,2,5,6] => 0101100 => 0011010 => 1100101
[8,6,3,1,5,7,2,4] => 1110010 => 0100111 => 1011000
[5,8,3,1,4,7,6,2] => 0110011 => 1100110 => 0011001
[1,2,5,4,7,8,3,6] => 0010010 => 0100100 => 1011011
[1,8,3,2,6,4,7,5] => 0110101 => 1010110 => 0101001
[4,7,1,2,5,3,6,8] => 0100100 => 0010010 => 1101101
[6,8,4,1,3,7,2,5] => 0110010 => 0100110 => 1011001
[3,2,6,1,7,8,5,4] => 1010011 => 1100101 => 0011010
[7,6,4,1,8,3,5,2] => 1110101 => 1010111 => 0101000
[5,4,1,6,7,3,2,8] => 1100110 => 0110011 => 1001100
[7,4,1,6,5,8,2,3] => 1101010 => 0101011 => 1010100
[8,5,4,1,6,7,3,2] => 1110011 => 1100111 => 0011000
[5,2,1,6,4,7,8,3] => 1101001 => 1001011 => 0110100
[1,6,2,3,5,7,8,4] => 0100001 => 1000010 => 0111101
[1,3,4,8,5,2,6,7] => 0001100 => 0011000 => 1100111
[8,2,4,6,1,7,3,5] => 1001010 => 0101001 => 1010110
[1,5,7,2,3,6,8,4] => 0010001 => 1000100 => 0111011
[7,3,1,4,2,5,8,6] => 1101001 => 1001011 => 0110100
[3,2,5,7,8,4,1,6] => 1000110 => 0110001 => 1001110
[4,3,5,1,6,2,7,8] => 1010100 => 0010101 => 1101010
[8,6,3,5,4,1,2,7] => 1101100 => 0011011 => 1100100
[8,3,2,6,1,5,4,7] => 1101010 => 0101011 => 1010100
[8,5,1,7,4,6,2,3] => 1101010 => 0101011 => 1010100
[4,8,1,7,6,3,5,2] => 0101101 => 1011010 => 0100101
[8,5,1,7,4,3,6,2] => 1101101 => 1011011 => 0100100
[8,5,7,6,2,1,3,4] => 1011100 => 0011101 => 1100010
[5,4,8,3,1,7,2,6] => 1011010 => 0101101 => 1010010
[5,1,4,8,3,2,7,6] => 1001101 => 1011001 => 0100110
[4,8,1,7,6,5,2,3] => 0101110 => 0111010 => 1000101
[4,3,8,7,2,6,1,5] => 1011010 => 0101101 => 1010010
[3,8,7,2,6,4,1,5] => 0110110 => 0110110 => 1001001
[8,2,5,7,4,3,6,1] => 1001101 => 1011001 => 0100110
[3,8,7,4,6,1,2,5] => 0110100 => 0010110 => 1101001
[8,7,6,3,5,4,1,2] => 1110110 => 0110111 => 1001000
[2,8,4,7,6,1,5,3] => 0101101 => 1011010 => 0100101
[2,5,4,8,3,1,7,6] => 0101101 => 1011010 => 0100101
[5,4,8,2,1,3,7,6] => 1011001 => 1001101 => 0110010
[3,8,7,2,6,1,5,4] => 0110101 => 1010110 => 0101001
[1,8,4,7,6,3,5,2] => 0101101 => 1011010 => 0100101
[1,8,3,7,6,5,2,4] => 0101110 => 0111010 => 1000101
[1,4,3,8,7,2,6,5] => 0101101 => 1011010 => 0100101
[7,1,5,4,6,2,3,8] => 1010100 => 0010101 => 1101010
[7,4,1,3,6,2,5,8] => 1100100 => 0010011 => 1101100
[5,4,3,1,7,6,2,8] => 1110110 => 0110111 => 1001000
[4,1,3,7,5,6,2,8] => 1001010 => 0101001 => 1010110
[2,6,8,3,1,7,4,5] => 0011010 => 0101100 => 1010011
[2,5,4,8,1,7,3,6] => 0101010 => 0101010 => 1010101
[7,2,6,5,8,3,4,1] => 1010101 => 1010101 => 0101010
[5,6,3,1,4,2,7,8] => 0110100 => 0010110 => 1101001
[2,6,5,3,4,8,7,1] => 0110011 => 1100110 => 0011001
[2,6,1,5,3,4,7,8] => 0101000 => 0001010 => 1110101
[3,6,2,7,4,5,1,8] => 0101010 => 0101010 => 1010101
[3,4,7,8,5,1,6,2] => 0001101 => 1011000 => 0100111
[3,6,2,4,7,8,5,1] => 0100011 => 1100010 => 0011101
[5,3,6,4,8,7,2,1] => 1010111 => 1110101 => 0001010
[1,5,4,8,6,2,7,3] => 0101101 => 1011010 => 0100101
[4,5,2,7,6,3,8,1] => 0101101 => 1011010 => 0100101
[7,6,2,5,3,8,4,1] => 1101011 => 1101011 => 0010100
[8,4,6,1,3,7,2,5] => 1010010 => 0100101 => 1011010
[4,8,5,1,2,3,6,7] => 0110000 => 0000110 => 1111001
[8,6,2,4,5,1,3,7] => 1100100 => 0010011 => 1101100
[4,5,1,3,8,6,2,7] => 0100110 => 0110010 => 1001101
[7,4,2,3,6,8,5,1] => 1100011 => 1100011 => 0011100
[2,1,6,7,4,8,3,5] => 1001010 => 0101001 => 1010110
[7,8,3,1,6,2,5,4] => 0110101 => 1010110 => 0101001
[7,5,2,8,1,4,6,3] => 1101001 => 1001011 => 0110100
[6,7,8,2,5,4,3,1] => 0010111 => 1110100 => 0001011
[7,8,1,6,2,5,4,3] => 0101011 => 1101010 => 0010101
[5,1,6,8,3,4,7,2] => 1001001 => 1001001 => 0110110
[7,1,6,8,5,4,3,2] => 1001111 => 1111001 => 0000110
[5,6,8,1,2,3,7,4] => 0010001 => 1000100 => 0111011
[4,8,1,2,7,6,5,3] => 0100111 => 1110010 => 0001101
[4,6,1,2,8,5,7,3] => 0100101 => 1010010 => 0101101
[6,4,7,3,5,2,1,8] => 1010110 => 0110101 => 1001010
[5,7,8,4,2,1,3,6] => 0011100 => 0011100 => 1100011
[6,4,8,3,5,2,1,7] => 1010110 => 0110101 => 1001010
[3,1,6,2,5,7,8,4] => 1010001 => 1000101 => 0111010
[2,1,6,3,5,7,4,8] => 1010010 => 0100101 => 1011010
[1,6,4,5,2,7,3,8] => 0101010 => 0101010 => 1010101
[1,4,7,3,2,5,6,8] => 0011000 => 0001100 => 1110011
[6,2,1,4,5,3,7,8] => 1100100 => 0010011 => 1101100
[1,2,3,4,5,8,9,6,7] => 00000010 => 01000000 => 10111111
[1,2,3,4,7,9,5,8,6] => 00000101 => 10100000 => 01011111
[1,2,3,6,9,4,7,8,5] => 00001001 => 10010000 => 01101111
[1,2,4,6,8,3,7,5] => 0000101 => 1010000 => 0101111
[1,2,5,9,3,6,7,8,4] => 00010001 => 10001000 => 01110111
[1,3,5,8,2,6,7,4] => 0001001 => 1001000 => 0110111
[1,4,9,2,5,6,7,8,3] => 00100001 => 10000100 => 01111011
[3,9,1,4,5,6,7,8,2] => 01000001 => 10000010 => 01111101
[6,1,3,7,2,8,5,4] => 1001011 => 1101001 => 0010110
[6,4,5,8,3,7,1,2] => 1001010 => 0101001 => 1010110
[8,1,4,3,6,7,2,5] => 1010010 => 0100101 => 1011010
[2,6,8,4,3,1,7,5] => 0011101 => 1011100 => 0100011
[8,1,5,2,6,4,3,7] => 1010110 => 0110101 => 1001010
[1,6,7,4,2,8,3,5] => 0011010 => 0101100 => 1010011
[1,7,8,4,3,6,2,5] => 0011010 => 0101100 => 1010011
[1,5,8,7,4,3,2,6] => 0011110 => 0111100 => 1000011
[1,4,7,2,3,6,8,5] => 0010001 => 1000100 => 0111011
[3,1,2,6,7,8,5,4] => 1000011 => 1100001 => 0011110
[3,8,1,6,4,2,7,5] => 0101101 => 1011010 => 0100101
[1,6,3,4,7,8,2,5] => 0100010 => 0100010 => 1011101
[3,1,5,7,6,2,8,4] => 1001101 => 1011001 => 0100110
[6,3,1,4,2,7,8,5] => 1101001 => 1001011 => 0110100
[2,4,3,7,6,1,8,5] => 0101101 => 1011010 => 0100101
[3,1,7,6,5,2,8,4] => 1011101 => 1011101 => 0100010
[1,4,7,6,8,3,2,5] => 0010110 => 0110100 => 1001011
[7,2,1,5,6,3,8,4] => 1100101 => 1010011 => 0101100
[4,3,1,8,6,2,7,5] => 1101101 => 1011011 => 0100100
[3,1,5,2,8,7,6,4] => 1010111 => 1110101 => 0001010
[1,2,8,4,3,7,6,5] => 0011011 => 1101100 => 0010011
[2,6,1,8,7,4,3,5] => 0101110 => 0111010 => 1000101
[7,5,1,8,3,2,6,4] => 1101101 => 1011011 => 0100100
[4,7,6,3,1,8,2,5] => 0111010 => 0101110 => 1010001
[5,3,1,8,6,2,4,7] => 1101100 => 0011011 => 1100100
[5,1,8,6,3,2,4,7] => 1011100 => 0011101 => 1100010
[1,5,4,2,8,6,3,7] => 0110110 => 0110110 => 1001001
[1,4,2,8,5,3,7,6] => 0101101 => 1011010 => 0100101
[8,3,1,6,4,2,5,7] => 1101100 => 0011011 => 1100100
[1,7,4,8,3,5,2,6] => 0101010 => 0101010 => 1010101
[7,3,2,4,8,5,1,6] => 1100110 => 0110011 => 1001100
[5,7,8,1,4,2,6,3] => 0010101 => 1010100 => 0101011
[2,6,3,8,1,7,5,4] => 0101011 => 1101010 => 0010101
[2,5,1,8,6,3,7,4] => 0101101 => 1011010 => 0100101
[2,8,6,4,1,7,3,5] => 0111010 => 0101110 => 1010001
[1,8,4,2,7,5,3,6] => 0110110 => 0110110 => 1001001
[6,5,1,7,2,8,4,3] => 1101011 => 1101011 => 0010100
[2,8,1,7,5,3,6,4] => 0101101 => 1011010 => 0100101
[1,2,8,7,6,4,3,5] => 0011110 => 0111100 => 1000011
[4,1,7,8,6,3,5,2] => 1001101 => 1011001 => 0100110
[1,6,5,7,8,4,2,3] => 0100110 => 0110010 => 1001101
[4,1,8,7,6,3,5,2] => 1011101 => 1011101 => 0100010
[4,8,2,6,3,5,1,7] => 0101010 => 0101010 => 1010101
[4,3,5,7,1,6,2,8] => 1001010 => 0101001 => 1010110
[4,1,8,5,3,6,2,7] => 1011010 => 0101101 => 1010010
[6,4,2,5,3,1,7,8] => 1101100 => 0011011 => 1100100
[3,1,5,8,2,7,4,6] => 1001010 => 0101001 => 1010110
[6,4,1,5,3,2,7,8] => 1101100 => 0011011 => 1100100
[6,2,1,5,4,3,7,8] => 1101100 => 0011011 => 1100100
[3,1,8,5,4,6,2,7] => 1011010 => 0101101 => 1010010
[6,1,8,4,5,3,2,7] => 1010110 => 0110101 => 1001010
[4,5,2,7,1,6,3,8] => 0101010 => 0101010 => 1010101
[4,3,5,7,1,6,8,2] => 1001001 => 1001001 => 0110110
[4,1,8,5,3,6,7,2] => 1011001 => 1001101 => 0110010
[6,3,8,4,5,1,7,2] => 1010101 => 1010101 => 0101010
[3,1,6,8,5,7,4,2] => 1001011 => 1101001 => 0010110
[2,6,1,8,5,7,4,3] => 0101011 => 1101010 => 0010101
[6,3,8,4,5,2,1,7] => 1010110 => 0110101 => 1001010
[6,5,8,7,2,3,4,1] => 1011001 => 1001101 => 0110010
[6,3,8,4,5,2,7,1] => 1010101 => 1010101 => 0101010
[2,1,6,8,5,3,7,4] => 1001101 => 1011001 => 0100110
[3,2,6,8,5,4,7,1] => 1001101 => 1011001 => 0100110
[4,1,8,5,2,6,3,7] => 1011010 => 0101101 => 1010010
[3,1,6,8,5,2,4,7] => 1001100 => 0011001 => 1100110
[6,5,8,7,4,1,2,3] => 1011100 => 0011101 => 1100010
[6,5,8,7,4,2,1,3] => 1011110 => 0111101 => 1000010
[6,5,8,7,2,4,1,3] => 1011010 => 0101101 => 1010010
[6,2,8,4,5,7,1,3] => 1010010 => 0100101 => 1011010
[6,1,8,4,5,7,3,2] => 1010011 => 1100101 => 0011010
[10,1,11,2,3,4,5,6,7,8,9] => 1010000000 => 0000000101 => 1111111010
[1,9,2,10,3,4,5,6,7,8] => 010100000 => 000001010 => 111110101
[2,8,1,9,3,4,5,6,7] => 01010000 => 00001010 => 11110101
[10,11,1,2,3,4,5,6,7,8,9] => 0100000000 => 0000000010 => 1111111101
[4,2,7,3,5,8,6,1] => 1010011 => 1100101 => 0011010
[3,6,2,4,8,5,7,1] => 0100101 => 1010010 => 0101101
[2,7,5,4,3,8,6,1] => 0111011 => 1101110 => 0010001
[3,5,1,8,4,7,6,2] => 0101011 => 1101010 => 0010101
[3,6,1,8,5,4,7,2] => 0101101 => 1011010 => 0100101
[2,4,8,3,7,6,5,1] => 0010111 => 1110100 => 0001011
[3,6,8,2,5,7,4,1] => 0010011 => 1100100 => 0011011
[2,6,8,5,4,3,7,1] => 0011101 => 1011100 => 0100011
[3,6,8,2,5,4,7,1] => 0010101 => 1010100 => 0101011
[4,6,8,3,2,5,7,1] => 0011001 => 1001100 => 0110011
[4,6,2,8,3,5,7,1] => 0101001 => 1001010 => 0110101
[3,6,1,8,5,7,4,2] => 0101011 => 1101010 => 0010101
[5,2,6,8,4,1,7,3] => 1001101 => 1011001 => 0100110
[4,6,3,8,7,2,5,1] => 0101101 => 1011010 => 0100101
[3,5,8,2,7,4,6,1] => 0010101 => 1010100 => 0101011
[2,6,8,5,7,4,3,1] => 0010111 => 1110100 => 0001011
[2,4,8,7,6,3,5,1] => 0011101 => 1011100 => 0100011
[7,5,1,6,3,2,8,4] => 1101101 => 1011011 => 0100100
[2,7,6,3,4,1,8,5] => 0110101 => 1010110 => 0101001
[5,7,6,3,1,2,8,4] => 0111001 => 1001110 => 0110001
[4,8,2,1,7,5,6,3] => 0110101 => 1010110 => 0101001
[6,3,8,5,7,2,4,1] => 1010101 => 1010101 => 0101010
[1,5,4,8,6,2,3,7] => 0101100 => 0011010 => 1100101
[8,2,1,7,5,3,6,4] => 1101101 => 1011011 => 0100100
[8,2,1,6,7,3,5,4] => 1100101 => 1010011 => 0101100
[6,2,8,1,7,5,3,4] => 1010110 => 0110101 => 1001010
[3,5,1,8,7,6,2,4] => 0101110 => 0111010 => 1000101
[1,4,2,3,6,5,8,7,9] => 01001010 => 01010010 => 10101101
[1,3,4,2,6,5,8,7,9] => 00101010 => 01010100 => 10101011
[1,4,2,3,6,5,8,7,10,9] => 010010101 => 101010010 => 010101101
[2,3,1,4,6,5,8,7,9] => 01001010 => 01010010 => 10101101
[4,6,1,2,3,5,8,7,9] => 01000010 => 01000010 => 10111101
[3,4,5,1,6,2,8,7,9] => 00101010 => 01010100 => 10101011
[3,1,2,4,6,5,8,7,9] => 10001010 => 01010001 => 10101110
[1,3,4,2,6,5,8,7,10,9] => 001010101 => 101010100 => 010101011
[3,1,4,2,6,5,8,7,10,9,11] => 1010101010 => 0101010101 => 1010101010
[4,7,3,5,6,1,2,8] => 0100100 => 0010010 => 1101101
[4,7,8,3,5,6,1,2] => 0010010 => 0100100 => 1011011
[2,1,3,4,5,6,9,7,8] => 10000010 => 01000001 => 10111110
[1,2,3,4,5,6,7,8,10,9,11] => 0000000010 => 0100000000 => 1011111111
[1,2,3,4,5,7,8,6,9] => 00000010 => 01000000 => 10111111
[2,1,3,4,5,6,7,10,8,9] => 100000010 => 010000001 => 101111110
[3,2,5,6,8,4,7,1] => 1000101 => 1010001 => 0101110
[8,4,5,2,6,3,7,1] => 1010101 => 1010101 => 0101010
[2,5,6,4,8,3,7,1] => 0010101 => 1010100 => 0101011
[4,2,5,7,3,8,1,6] => 1001010 => 0101001 => 1010110
[4,7,3,1,6,8,2,5] => 0110010 => 0100110 => 1011001
[4,2,7,6,8,1,3,5] => 1010100 => 0010101 => 1101010
[1,7,4,6,8,3,2,5] => 0100110 => 0110010 => 1001101
[2,4,3,6,5,8,7,10,9,12,11,1] => 01010101011 => 11010101010 => 00101010101
[4,7,2,5,6,3,1,8] => 0100110 => 0110010 => 1001101
[5,4,1,3,7,8,2,6] => 1100010 => 0100011 => 1011100
[6,1,5,8,3,7,2,4] => 1001010 => 0101001 => 1010110
[4,1,3,5,7,8,2,6] => 1000010 => 0100001 => 1011110
[6,1,5,8,4,3,2,7] => 1001110 => 0111001 => 1000110
[7,2,1,6,8,3,5,4] => 1100101 => 1010011 => 0101100
[5,6,4,1,8,3,2,7] => 0110110 => 0110110 => 1001001
[2,3,7,8,5,1,6,4] => 0001101 => 1011000 => 0100111
[4,1,7,6,2,3,8,5] => 1011001 => 1001101 => 0110010
[1,2,6,7,4,3,5,8] => 0001100 => 0011000 => 1100111
[10,2,3,4,5,6,7,8,1,9] => 100000010 => 010000001 => 101111110
[7,1,9,3,4,5,6,2,8] => 10100010 => 01000101 => 10111010
[5,8,6,3,4,1,2,7] => 0110100 => 0010110 => 1101001
[3,10,1,4,5,6,7,8,9,2] => 010000001 => 100000010 => 011111101
[11,2,3,4,5,6,7,8,9,1,10] => 1000000010 => 0100000001 => 1011111110
[8,1,10,3,4,5,6,7,2,9] => 101000010 => 010000101 => 101111010
[7,2,1,9,4,5,6,3,8] => 11010010 => 01001011 => 10110100
[6,9,7,3,4,5,1,2,8] => 01100100 => 00100110 => 11011001
[6,2,3,1,8,5,4,7] => 1010110 => 0110101 => 1001010
[5,1,2,6,4,8,3,7] => 1001010 => 0101001 => 1010110
[8,6,2,3,7,5,1,4] => 1100110 => 0110011 => 1001100
[3,8,1,2,9,5,6,7,4] => 01001001 => 10010010 => 01101101
[8,7,9,1,2,3,4,5,6] => 10100000 => 00000101 => 11111010
[3,11,1,4,5,6,7,8,9,10,2] => 0100000001 => 1000000010 => 0111111101
[12,2,3,4,5,6,7,8,9,10,1,11] => 10000000010 => 01000000001 => 10111111110
[9,1,11,3,4,5,6,7,8,2,10] => 1010000010 => 0100000101 => 1011111010
[8,2,1,10,4,5,6,7,3,9] => 110100010 => 010001011 => 101110100
[7,10,8,3,4,5,6,1,2,9] => 011000100 => 001000110 => 110111001
[7,2,3,1,9,5,6,4,8] => 10101010 => 01010101 => 10101010
[6,1,2,7,4,5,9,3,8] => 10010010 => 01001001 => 10110110
[5,9,6,3,4,1,7,2,8] => 01101010 => 01010110 => 10101001
[4,5,2,8,6,1,3,7] => 0101100 => 0011010 => 1100101
[3,4,8,2,5,6,1,7] => 0010010 => 0100100 => 1011011
[3,8,1,4,2,9,6,7,5] => 01010101 => 10101010 => 01010101
[9,7,2,3,8,5,6,1,4] => 11001010 => 01010011 => 10101100
[3,9,1,2,10,5,6,7,8,4] => 010010001 => 100010010 => 011101101
[3,12,1,4,5,6,7,8,9,10,11,2] => 01000000001 => 10000000010 => 01111111101
[2,8,3,6,7,4,5,1] => 0100101 => 1010010 => 0101101
[6,8,2,7,5,3,1,4] => 0101110 => 0111010 => 1000101
[6,3,2,5,8,4,1,7] => 1100110 => 0110011 => 1001100
[5,6,7,2,8,4,1,3] => 0010110 => 0110100 => 1001011
[5,8,3,6,4,1,7,2] => 0101101 => 1011010 => 0100101
[4,3,8,5,2,7,1,6] => 1011010 => 0101101 => 1010010
[2,8,4,5,1,6,3,7] => 0101010 => 0101010 => 1010101
[3,2,5,8,4,7,1,6] => 1001010 => 0101001 => 1010110
[2,5,8,1,3,4,7,6] => 0010001 => 1000100 => 0111011
[3,5,1,8,7,4,2,6] => 0101110 => 0111010 => 1000101
[4,6,1,3,8,2,7,5] => 0100101 => 1010010 => 0101101
[8,6,1,2,3,5,7,4] => 1100001 => 1000011 => 0111100
[5,1,7,8,3,2,4,6] => 1001100 => 0011001 => 1100110
[3,1,7,6,2,8,5,4] => 1011011 => 1101101 => 0010010
[5,3,6,7,4,2,8,1] => 1001101 => 1011001 => 0100110
[5,4,2,8,6,7,3,1] => 1101011 => 1101011 => 0010100
[6,1,4,2,8,7,3,5] => 1010110 => 0110101 => 1001010
[3,7,2,6,8,4,5,1] => 0100101 => 1010010 => 0101101
[4,6,5,2,7,8,3,1] => 0110011 => 1100110 => 0011001
[5,4,6,2,7,8,3,1] => 1010011 => 1100101 => 0011010
[5,1,8,6,4,2,7,3] => 1011101 => 1011101 => 0100010
[6,2,1,8,5,7,4,3] => 1101011 => 1101011 => 0010100
[5,4,6,2,3,1,8,7] => 1010101 => 1010101 => 0101010
[6,5,7,8,1,3,4,2] => 1001001 => 1001001 => 0110110
[2,1,7,6,8,4,5,3] => 1010101 => 1010101 => 0101010
[6,4,7,2,8,3,1,5] => 1010110 => 0110101 => 1001010
[6,3,2,7,8,4,5,1] => 1100101 => 1010011 => 0101100
[4,7,3,1,5,2,8,6] => 0110101 => 1010110 => 0101001
[2,1,4,7,5,3,8,6] => 1001101 => 1011001 => 0100110
[4,7,6,3,1,5,8,2] => 0111001 => 1001110 => 0110001
[2,7,3,1,8,5,4,6] => 0110110 => 0110110 => 1001001
[2,8,3,1,7,4,5,6] => 0110100 => 0010110 => 1101001
[7,6,8,9,1,2,3,4,5] => 10010000 => 00001001 => 11110110
[5,4,6,7,8,9,1,2,3] => 10000100 => 00100001 => 11011110
[1,5,6,8,3,2,4,7] => 0001100 => 0011000 => 1100111
[1,8,2,7,3,5,6,4] => 0101001 => 1001010 => 0110101
[1,7,4,8,6,5,3,2] => 0101111 => 1111010 => 0000101
[1,6,3,5,7,4,8,2] => 0100101 => 1010010 => 0101101
[1,5,4,7,2,8,3,6] => 0101010 => 0101010 => 1010101
[3,8,5,2,6,1,7,4] => 0110101 => 1010110 => 0101001
[3,7,4,8,5,2,6,1] => 0101101 => 1011010 => 0100101
[8,1,2,6,5,3,4,7] => 1001100 => 0011001 => 1100110
[3,7,4,2,5,6,1,8] => 0110010 => 0100110 => 1011001
[6,8,7,1,3,4,2,5] => 0110010 => 0100110 => 1011001
[3,4,2,8,6,7,5,1] => 0101011 => 1101010 => 0010101
[3,7,8,6,1,4,2,5] => 0011010 => 0101100 => 1010011
[3,6,1,5,2,7,8,4] => 0101001 => 1001010 => 0110101
[8,1,2,6,3,5,7,4] => 1001001 => 1001001 => 0110110
[6,2,8,4,7,1,3,5] => 1010100 => 0010101 => 1101010
[3,7,8,4,2,5,6,1] => 0011001 => 1001100 => 0110011
[3,4,2,8,5,1,6,7] => 0101100 => 0011010 => 1100101
[1,4,3,2,5,6,7,8,9] => 01100000 => 00000110 => 11111001
[6,8,2,7,5,4,1,3] => 0101110 => 0111010 => 1000101
[1,8,4,3,7,6,2,5] => 0110110 => 0110110 => 1001001
[4,3,8,7,1,2,6,5] => 1011001 => 1001101 => 0110010
[1,8,4,5,7,6,2,3] => 0100110 => 0110010 => 1001101
[4,3,8,5,7,1,6,2] => 1010101 => 1010101 => 0101010
[6,3,4,8,7,2,1,5] => 1001110 => 0111001 => 1000110
[5,3,8,4,7,1,6,2] => 1010101 => 1010101 => 0101010
[5,2,8,7,1,4,6,3] => 1011001 => 1001101 => 0110010
[3,2,8,7,1,6,4,5] => 1011010 => 0101101 => 1010010
[2,7,8,3,1,6,4,5] => 0011010 => 0101100 => 1010011
[2,7,8,5,1,4,6,3] => 0011001 => 1001100 => 0110011
[3,5,8,7,4,1,6,2] => 0011101 => 1011100 => 0100011
[7,4,6,8,3,5,1,2] => 1001010 => 0101001 => 1010110
[2,7,8,1,3,6,4,5] => 0010010 => 0100100 => 1011011
[2,7,8,1,5,4,6,3] => 0010101 => 1010100 => 0101011
[2,7,8,1,4,5,6,3] => 0010001 => 1000100 => 0111011
[3,6,7,8,2,4,1,5] => 0001010 => 0101000 => 1010111
[4,5,7,8,6,3,1,2] => 0001110 => 0111000 => 1000111
[5,4,6,8,7,3,1,2] => 1001110 => 0111001 => 1000110
[4,5,8,6,7,1,3,2] => 0010101 => 1010100 => 0101011
[5,7,6,8,2,1,3,4] => 0101100 => 0011010 => 1100101
[3,7,6,8,2,4,1,5] => 0101010 => 0101010 => 1010101
[5,4,7,8,6,3,1,2] => 1001110 => 0111001 => 1000110
[4,5,7,8,2,6,1,3] => 0001010 => 0101000 => 1010111
[4,5,6,8,7,3,1,2] => 0001110 => 0111000 => 1000111
[6,1,5,3,8,4,7,2] => 1010101 => 1010101 => 0101010
[1,8,6,2,5,4,7,3] => 0110101 => 1010110 => 0101001
[3,8,4,1,7,5,2,6] => 0110110 => 0110110 => 1001001
[6,2,7,4,8,3,1,5] => 1010110 => 0110101 => 1001010
[2,8,5,1,4,3,7,6] => 0110101 => 1010110 => 0101001
[6,8,2,7,5,1,4,3] => 0101101 => 1011010 => 0100101
[8,3,4,5,6,1,7,2] => 1000101 => 1010001 => 0101110
[5,3,6,4,7,2,1,8] => 1010110 => 0110101 => 1001010
[4,2,6,5,7,3,1,8] => 1010110 => 0110101 => 1001010
[5,4,6,2,7,3,1,8] => 1010110 => 0110101 => 1001010
[3,2,6,5,8,4,1,7] => 1010110 => 0110101 => 1001010
[3,2,6,5,8,7,1,4] => 1010110 => 0110101 => 1001010
[4,2,6,5,8,7,1,3] => 1010110 => 0110101 => 1001010
[5,2,6,4,8,7,1,3] => 1010110 => 0110101 => 1001010
[5,4,7,6,8,2,1,3] => 1010110 => 0110101 => 1001010
[6,4,7,5,8,3,1,2] => 1010110 => 0110101 => 1001010
[4,2,7,5,8,6,1,3] => 1010110 => 0110101 => 1001010
[3,2,7,5,8,4,1,6] => 1010110 => 0110101 => 1001010
[4,3,7,2,8,5,1,6] => 1010110 => 0110101 => 1001010
[4,3,6,2,8,5,1,7] => 1010110 => 0110101 => 1001010
[4,3,7,6,8,5,1,2] => 1010110 => 0110101 => 1001010
[5,3,7,6,8,2,1,4] => 1010110 => 0110101 => 1001010
[5,3,7,2,8,6,1,4] => 1010110 => 0110101 => 1001010
[3,2,6,4,8,7,1,5] => 1010110 => 0110101 => 1001010
[4,2,7,3,8,6,1,5] => 1010110 => 0110101 => 1001010
[5,2,7,6,8,3,1,4] => 1010110 => 0110101 => 1001010
[3,2,7,6,8,4,1,5] => 1010110 => 0110101 => 1001010
[3,2,7,6,8,5,1,4] => 1010110 => 0110101 => 1001010
[6,2,7,5,8,4,1,3] => 1010110 => 0110101 => 1001010
[4,8,1,7,3,2,5,6] => 0101100 => 0011010 => 1100101
[3,7,4,8,2,1,5,6] => 0101100 => 0011010 => 1100101
[3,7,8,2,5,4,6,1] => 0010101 => 1010100 => 0101011
[4,7,5,8,3,2,6,1] => 0101101 => 1011010 => 0100101
[6,7,1,3,2,5,8,4] => 0101001 => 1001010 => 0110101
[8,7,6,4,1,5,3,2] => 1111011 => 1101111 => 0010000
[3,8,5,2,6,4,7,1] => 0110101 => 1010110 => 0101001
[7,2,5,3,4,8,1,6] => 1010010 => 0100101 => 1011010
[4,2,5,3,7,8,6,1] => 1010011 => 1100101 => 0011010
[5,3,6,2,4,1,8,7] => 1010101 => 1010101 => 0101010
[7,8,6,2,3,5,4,1] => 0110011 => 1100110 => 0011001
[5,8,2,6,3,7,4,1] => 0101011 => 1101010 => 0010101
[4,8,2,3,7,5,6,1] => 0100101 => 1010010 => 0101101
[7,5,6,2,3,8,4,1] => 1010011 => 1100101 => 0011010
[2,7,5,6,4,3,8,1] => 0101101 => 1011010 => 0100101
[2,8,4,3,7,5,6,1] => 0110101 => 1010110 => 0101001
[3,8,5,7,6,4,2,1] => 0101111 => 1111010 => 0000101
[7,8,6,3,5,4,2,1] => 0110111 => 1110110 => 0001001
[2,7,6,3,8,5,4,1] => 0110111 => 1110110 => 0001001
[7,4,2,5,6,3,8,1] => 1100101 => 1010011 => 0101100
[6,2,7,5,3,8,4,1] => 1011011 => 1101101 => 0010010
[2,4,8,3,7,5,6,1] => 0010101 => 1010100 => 0101011
[4,8,3,7,5,6,2,1] => 0101011 => 1101010 => 0010101
[6,2,5,8,3,7,4,1] => 1001011 => 1101001 => 0010110
[4,7,3,8,2,5,6,1] => 0101001 => 1001010 => 0110101
[8,2,5,6,3,7,4,1] => 1001011 => 1101001 => 0010110
[4,5,3,7,1,2,6,8] => 0101000 => 0001010 => 1110101
[8,5,6,4,1,3,2,7] => 1011010 => 0101101 => 1010010
[6,7,2,8,4,3,1,5] => 0101110 => 0111010 => 1000101
[6,7,3,2,8,4,1,5] => 0110110 => 0110110 => 1001001
[4,7,8,3,1,5,2,6] => 0011010 => 0101100 => 1010011
[4,5,8,1,3,2,6,7] => 0010100 => 0010100 => 1101011
[4,7,8,1,6,3,2,5] => 0010110 => 0110100 => 1001011
[4,7,1,3,8,6,5,2] => 0100111 => 1110010 => 0001101
[2,6,7,4,3,8,1,5] => 0011010 => 0101100 => 1010011
[3,7,6,4,5,8,1,2] => 0110010 => 0100110 => 1011001
[5,7,2,8,3,4,6,1] => 0101001 => 1001010 => 0110101
[3,7,2,8,5,6,4,1] => 0101011 => 1101010 => 0010101
[3,1,5,8,6,4,7,2] => 1001101 => 1011001 => 0100110
[2,3,8,6,4,5,7,1] => 0011001 => 1001100 => 0110011
[2,3,8,6,4,7,5,1] => 0011011 => 1101100 => 0010011
[3,6,2,8,7,4,5,1] => 0101101 => 1011010 => 0100101
[2,5,6,1,8,7,3,4] => 0010110 => 0110100 => 1001011
[3,6,2,8,4,7,5,1] => 0101011 => 1101010 => 0010101
[2,3,8,5,7,4,6,1] => 0010101 => 1010100 => 0101011
[8,5,6,3,1,4,2,7] => 1011010 => 0101101 => 1010010
[8,3,5,1,6,4,2,7] => 1010110 => 0110101 => 1001010
[5,7,8,3,4,6,2,1] => 0010011 => 1100100 => 0011011
[3,5,1,8,6,4,2,7] => 0101110 => 0111010 => 1000101
[7,5,3,8,6,4,2,1] => 1101111 => 1111011 => 0000100
[5,1,3,8,6,4,2,7] => 1001110 => 0111001 => 1000110
[1,5,8,3,6,4,2,7] => 0010110 => 0110100 => 1001011
[7,5,8,3,6,4,2,1] => 1010111 => 1110101 => 0001010
[1,5,8,6,3,4,2,7] => 0011010 => 0101100 => 1010011
[3,7,5,8,2,6,4,1] => 0101011 => 1101010 => 0010101
[5,7,8,1,4,6,2,3] => 0010010 => 0100100 => 1011011
[1,3,7,8,4,2,6,5] => 0001101 => 1011000 => 0100111
[6,1,2,5,3,4,7,8] => 1001000 => 0001001 => 1110110
[5,1,4,6,7,3,2,8] => 1000110 => 0110001 => 1001110
[1,4,6,5,7,2,3,8] => 0010100 => 0010100 => 1101011
[6,7,3,5,4,1,2,8] => 0101100 => 0011010 => 1100101
[8,1,6,7,3,5,4,2] => 1001011 => 1101001 => 0010110
[4,2,5,1,3,7,6,8] => 1010010 => 0100101 => 1011010
[1,3,2,6,8,4,7,5] => 0100101 => 1010010 => 0101101
[8,2,5,4,1,6,7,3] => 1011001 => 1001101 => 0110010
[8,1,7,5,4,2,6,3] => 1011101 => 1011101 => 0100010
[1,2,6,4,7,3,5,8] => 0010100 => 0010100 => 1101011
[1,6,4,3,7,2,5,8] => 0110100 => 0010110 => 1101001
[5,7,8,3,2,6,1,4] => 0011010 => 0101100 => 1010011
[2,3,4,5,6,9,8,7,1] => 00000111 => 11100000 => 00011111
[2,3,4,5,8,7,9,6,1] => 00001011 => 11010000 => 00101111
[2,3,6,5,7,8,9,4,1] => 00100011 => 11000100 => 00111011
[2,3,4,5,6,7,8,9,11,10,1] => 0000000011 => 1100000000 => 0011111111
[2,3,4,5,6,7,10,9,8,1] => 000000111 => 111000000 => 000111111
[2,3,4,5,8,9,7,6,1] => 00000111 => 11100000 => 00011111
[2,3,4,5,6,9,8,10,7,1] => 000001011 => 110100000 => 001011111
[8,4,5,1,3,7,6,2] => 1010011 => 1100101 => 0011010
[8,6,4,3,7,1,5,2] => 1110101 => 1010111 => 0101000
[7,5,6,8,1,3,2,4] => 1001010 => 0101001 => 1010110
[6,8,7,5,4,2,3,1] => 0111101 => 1011110 => 0100001
[7,3,1,8,6,5,2,4] => 1101110 => 0111011 => 1000100
[3,4,5,6,7,1,2,8,9] => 00001000 => 00010000 => 11101111
[2,7,3,1,4,8,6,5] => 0110011 => 1100110 => 0011001
[3,1,6,5,7,8,4,2] => 1010011 => 1100101 => 0011010
[4,3,1,5,8,7,6,2] => 1100111 => 1110011 => 0001100
[4,7,1,3,2,5,6,8] => 0101000 => 0001010 => 1110101
[4,1,6,7,3,2,8,5] => 1001101 => 1011001 => 0100110
[1,7,2,5,6,8,4,3] => 0100011 => 1100010 => 0011101
[4,7,6,8,3,1,5,2] => 0101101 => 1011010 => 0100101
[5,4,8,6,1,7,3,2] => 1011011 => 1101101 => 0010010
[3,5,4,7,1,8,6,2] => 0101011 => 1101010 => 0010101
[7,1,5,4,2,3,6,8] => 1011000 => 0001101 => 1110010
[7,1,3,6,4,5,2,8] => 1001010 => 0101001 => 1010110
[6,1,3,8,4,5,2,7] => 1001010 => 0101001 => 1010110
[2,1,8,7,3,6,5,4] => 1011011 => 1101101 => 0010010
[5,8,6,3,1,2,7,4] => 0111001 => 1001110 => 0110001
[5,8,2,7,1,3,6,4] => 0101001 => 1001010 => 0110101
[2,6,5,4,1,3,7,8] => 0111000 => 0001110 => 1110001
[4,1,5,7,6,3,2,8] => 1001110 => 0111001 => 1000110
[6,3,4,2,1,8,7,5] => 1011011 => 1101101 => 0010010
[4,5,1,7,6,3,2,8] => 0101110 => 0111010 => 1000101
[5,4,2,1,8,7,3,6] => 1110110 => 0110111 => 1001000
[6,2,1,5,4,3,8,7] => 1101101 => 1011011 => 0100100
[1,4,2,6,7,8,5,3] => 0100011 => 1100010 => 0011101
[1,4,2,5,6,8,7,3] => 0100011 => 1100010 => 0011101
[2,5,3,6,7,8,4,1] => 0100011 => 1100010 => 0011101
[1,8,6,2,4,3,5,7] => 0110100 => 0010110 => 1101001
[3,2,4,5,7,8,1,6] => 1000010 => 0100001 => 1011110
[2,3,4,7,5,8,6,1] => 0001011 => 1101000 => 0010111
[6,5,2,8,7,4,3,1] => 1101111 => 1111011 => 0000100
[7,8,5,4,2,1,6,3] => 0111101 => 1011110 => 0100001
[7,5,2,8,6,4,3,1] => 1101111 => 1111011 => 0000100
[7,8,3,2,6,5,4,1] => 0110111 => 1110110 => 0001001
[8,2,6,3,7,5,1,4] => 1010110 => 0110101 => 1001010
[8,6,7,2,5,3,1,4] => 1010110 => 0110101 => 1001010
[1,6,2,7,8,4,5,3] => 0100101 => 1010010 => 0101101
[8,6,2,7,5,4,1,3] => 1101110 => 0111011 => 1000100
[1,6,8,2,7,5,3,4] => 0010110 => 0110100 => 1001011
[7,6,3,2,8,1,5,4] => 1110101 => 1010111 => 0101000
[5,1,7,4,3,8,6,2] => 1011011 => 1101101 => 0010010
[8,6,3,7,2,4,1,5] => 1101010 => 0101011 => 1010100
[1,7,8,6,4,2,3,5] => 0011100 => 0011100 => 1100011
[7,2,8,6,4,1,3,5] => 1011100 => 0011101 => 1100010
[1,5,3,7,4,2,6,8] => 0101100 => 0011010 => 1100101
[1,7,6,4,3,2,8,5] => 0111101 => 1011110 => 0100001
[1,7,6,3,4,2,5,8] => 0110100 => 0010110 => 1101001
[1,2,7,4,3,8,6,5] => 0011011 => 1101100 => 0010011
[1,5,4,2,3,8,7,6] => 0110011 => 1100110 => 0011001
[1,5,3,2,4,6,7,8] => 0110000 => 0000110 => 1111001
[1,5,4,2,3,7,8,6] => 0110001 => 1000110 => 0111001
[1,2,7,6,3,5,8,4] => 0011001 => 1001100 => 0110011
[8,1,3,2,6,5,7,4] => 1010101 => 1010101 => 0101010
[3,2,7,5,6,1,8,4] => 1010101 => 1010101 => 0101010
[7,5,6,1,3,2,8,4] => 1010101 => 1010101 => 0101010
[7,4,5,1,6,3,8,2] => 1010101 => 1010101 => 0101010
[7,5,6,1,4,3,8,2] => 1010101 => 1010101 => 0101010
[8,1,4,3,5,2,7,6] => 1010101 => 1010101 => 0101010
[10,5,9,4,8,3,7,2,6,1] => 101010101 => 101010101 => 010101010
[1,3,5,2,4,7,6,9,8,10] => 001001010 => 010100100 => 101011011
[2,3,5,1,4,7,6,9,8] => 00100101 => 10100100 => 01011011
[3,4,1,5,2,7,6,9,8] => 01010101 => 10101010 => 01010101
[4,1,2,5,3,7,6,9,8] => 10010101 => 10101001 => 01010110
[1,4,2,5,3,7,6,9,8,10] => 010101010 => 010101010 => 101010101
[8,3,6,5,4,1,2,7] => 1011100 => 0011101 => 1100010
[1,7,5,8,4,6,3,2] => 0101011 => 1101010 => 0010101
[6,5,7,1,2,8,3,4] => 1010010 => 0100101 => 1011010
[7,1,4,2,3,8,6,5] => 1010011 => 1100101 => 0011010
[3,7,5,6,8,1,2,4] => 0100100 => 0010010 => 1101101
[8,1,2,5,3,7,6,4] => 1001011 => 1101001 => 0010110
[8,6,5,2,4,1,7,3] => 1110101 => 1010111 => 0101000
[3,6,5,2,4,1,7,8] => 0110100 => 0010110 => 1101001
[6,8,5,2,4,3,1,7] => 0110110 => 0110110 => 1001001
[3,4,2,8,6,7,1,5] => 0101010 => 0101010 => 1010101
[4,6,7,2,5,1,8,3] => 0010101 => 1010100 => 0101011
[3,6,2,5,1,7,8,4] => 0101001 => 1001010 => 0110101
[3,4,2,7,8,1,5,6] => 0100100 => 0010010 => 1101101
[3,8,5,2,4,7,1,6] => 0110010 => 0100110 => 1011001
[3,1,11,5,6,7,8,9,10,2,4] => 1010000010 => 0100000101 => 1011111010
[10,3,1,5,6,7,8,9,2,4] => 110000010 => 010000011 => 101111100
[10,4,1,5,6,7,8,9,2,3] => 110000010 => 010000011 => 101111100
[12,3,4,5,6,7,8,9,10,11,1,2] => 10000000010 => 01000000001 => 10111111110
[7,1,4,2,5,8,6,3] => 1010011 => 1100101 => 0011010
[7,8,5,1,2,4,3,6] => 0110010 => 0100110 => 1011001
[5,8,1,4,3,6,7,2] => 0101001 => 1001010 => 0110101
[7,2,3,8,6,4,1,5] => 1001110 => 0111001 => 1000110
[5,2,3,8,7,4,1,6] => 1001110 => 0111001 => 1000110
[5,7,6,3,1,2,4,8] => 0111000 => 0001110 => 1110001
[4,2,6,8,1,3,5,7,9] => 10010000 => 00001001 => 11110110
[4,6,2,8,1,3,5,7,9] => 01010000 => 00001010 => 11110101
[4,6,8,2,1,3,5,7,9] => 00110000 => 00001100 => 11110011
[4,6,2,7,8,1,3,5] => 0100100 => 0010010 => 1101101
[4,6,8,2,9,1,3,5,7] => 00101000 => 00010100 => 11101011
[4,6,2,7,9,1,3,5,8] => 01001000 => 00010010 => 11101101
[6,2,3,7,1,4,5,8] => 1001000 => 0001001 => 1110110
[4,2,5,7,9,1,3,6,8] => 10001000 => 00010001 => 11101110
[2,3,5,7,9,1,4,6,8] => 00001000 => 00010000 => 11101111
[4,2,6,8,10,1,3,5,7,9] => 100010000 => 000010001 => 111101110
[6,4,2,8,1,3,5,7,9] => 11010000 => 00001011 => 11110100
[4,6,2,8,10,1,3,5,7,9] => 010010000 => 000010010 => 111101101
[8,4,6,2,1,3,5,7,9] => 10110000 => 00001101 => 11110010
[4,6,8,2,10,1,3,5,7,9] => 001010000 => 000010100 => 111101011
[4,6,8,9,2,1,3,5,7] => 00011000 => 00011000 => 11100111
[4,6,8,10,2,1,3,5,7,9] => 000110000 => 000011000 => 111100111
[4,6,7,8,2,1,3,5] => 0001100 => 0011000 => 1100111
[4,6,2,7,1,3,5,8,9] => 01010000 => 00001010 => 11110101
[4,6,8,2,9,1,3,5,7,10] => 001010000 => 000010100 => 111101011
[4,8,2,5,9,1,3,6,7] => 01001000 => 00010010 => 11101101
[4,6,2,7,9,1,3,5,8,10] => 010010000 => 000010010 => 111101101
[6,2,3,7,9,1,4,5,8] => 10001000 => 00010001 => 11101110
[4,2,5,7,9,1,3,6,8,10] => 100010000 => 000010001 => 111101110
[1,4,5,7,9,2,3,6,8] => 00001000 => 00010000 => 11101111
[2,3,5,7,9,1,4,6,8,10] => 000010000 => 000010000 => 111101111
[8,6,3,2,1,7,5,4] => 1111011 => 1101111 => 0010000
[5,3,4,1,7,8,2,6] => 1010010 => 0100101 => 1011010
[8,6,4,9,7,5,3,2,1] => 11011111 => 11111011 => 00000100
[7,8,5,9,6,4,3,2,1] => 01011111 => 11111010 => 00000101
[8,6,4,2,9,7,5,3,1] => 11101111 => 11110111 => 00001000
[7,8,5,3,9,6,4,2,1] => 01101111 => 11110110 => 00001001
[7,4,8,5,9,6,3,2,1] => 10101111 => 11110101 => 00001010
[6,7,8,4,9,5,3,2,1] => 00101111 => 11110100 => 00001011
[7,8,5,3,1,9,6,4,2] => 01110111 => 11101110 => 00010001
[7,4,8,5,2,9,6,3,1] => 10110111 => 11101101 => 00010010
[6,7,8,4,2,9,5,3,1] => 00110111 => 11101100 => 00010011
[6,7,3,8,4,9,5,2,1] => 01010111 => 11101010 => 00010101
[5,6,7,8,3,9,4,2,1] => 00010111 => 11101000 => 00010111
[6,7,3,8,4,1,9,5,2] => 01011011 => 11011010 => 00100101
[5,6,7,8,3,1,9,4,2] => 00011011 => 11011000 => 00100111
[6,2,7,3,8,4,9,5,1] => 10101011 => 11010101 => 00101010
[5,6,7,2,8,3,9,4,1] => 00101011 => 11010100 => 00101011
[4,5,6,7,8,2,9,3,1] => 00001011 => 11010000 => 00101111
[5,6,1,7,2,8,3,9,4] => 01010101 => 10101010 => 01010101
[4,5,6,7,1,8,2,9,3] => 00010101 => 10101000 => 01010111
[9,7,10,8,6,5,4,3,2,1] => 101111111 => 111111101 => 000000010
[9,7,5,10,8,6,4,3,2,1] => 110111111 => 111111011 => 000000100
[8,9,6,10,7,5,4,3,2,1] => 010111111 => 111111010 => 000000101
[9,7,5,3,10,8,6,4,2,1] => 111011111 => 111110111 => 000001000
[8,9,6,4,10,7,5,3,2,1] => 011011111 => 111110110 => 000001001
[8,5,9,6,10,7,4,3,2,1] => 101011111 => 111110101 => 000001010
[7,8,9,5,10,6,4,3,2,1] => 001011111 => 111110100 => 000001011
[8,9,6,4,2,10,7,5,3,1] => 011101111 => 111101110 => 000010001
[8,5,9,6,3,10,7,4,2,1] => 101101111 => 111101101 => 000010010
[7,8,9,5,3,10,6,4,2,1] => 001101111 => 111101100 => 000010011
[7,8,4,9,5,10,6,3,2,1] => 010101111 => 111101010 => 000010101
[6,7,8,9,4,10,5,3,2,1] => 000101111 => 111101000 => 000010111
[8,5,9,6,3,1,10,7,4,2] => 101110111 => 111011101 => 000100010
[7,8,9,5,3,1,10,6,4,2] => 001110111 => 111011100 => 000100011
[8,5,2,9,6,3,10,7,4,1] => 110110111 => 111011011 => 000100100
[6,7,8,9,4,2,10,5,3,1] => 000110111 => 111011000 => 000100111
[7,3,8,4,9,5,10,6,2,1] => 101010111 => 111010101 => 000101010
[6,7,8,3,9,4,10,5,2,1] => 001010111 => 111010100 => 000101011
[5,6,7,8,9,3,10,4,2,1] => 000010111 => 111010000 => 000101111
[7,8,4,1,9,5,2,10,6,3] => 011011011 => 110110110 => 001001001
[7,3,8,4,9,5,1,10,6,2] => 101011011 => 110110101 => 001001010
[6,7,8,3,9,4,1,10,5,2] => 001011011 => 110110100 => 001001011
[5,6,7,8,9,3,1,10,4,2] => 000011011 => 110110000 => 001001111
[6,7,2,8,3,9,4,10,5,1] => 010101011 => 110101010 => 001010101
[5,6,7,8,2,9,3,10,4,1] => 000101011 => 110101000 => 001010111
[4,5,6,7,8,9,2,10,3,1] => 000001011 => 110100000 => 001011111
[5,6,7,1,8,2,9,3,10,4] => 001010101 => 101010100 => 010101011
[4,5,6,7,8,1,9,2,10,3] => 000010101 => 101010000 => 010101111
[6,1,3,4,2,5,8,7] => 1001001 => 1001001 => 0110110
[5,1,3,6,2,4,8,7] => 1001001 => 1001001 => 0110110
[1,5,7,6,8,2,4,3] => 0010101 => 1010100 => 0101011
[5,7,1,3,8,4,2,6] => 0100110 => 0110010 => 1001101
[2,6,1,4,3,7,8,5] => 0101001 => 1001010 => 0110101
[1,6,2,4,3,5,8,7] => 0101001 => 1001010 => 0110101
[5,3,7,6,1,8,4,2] => 1011011 => 1101101 => 0010010
[1,5,6,3,7,8,4,2] => 0010011 => 1100100 => 0011011
[1,5,7,6,3,8,4,2] => 0011011 => 1101100 => 0010011
[7,3,5,6,1,8,4,2] => 1001011 => 1101001 => 0010110
[1,6,3,7,8,5,4,2] => 0100111 => 1110010 => 0001101
[1,7,8,6,3,5,4,2] => 0011011 => 1101100 => 0010011
[3,7,5,6,1,8,4,2] => 0101011 => 1101010 => 0010101
[5,6,2,8,4,7,3,1] => 0101011 => 1101010 => 0010101
[5,7,6,3,4,8,1,2] => 0110010 => 0100110 => 1011001
[3,7,5,4,6,1,2,8] => 0110100 => 0010110 => 1101001
[5,3,4,7,6,8,1,2] => 1001010 => 0101001 => 1010110
[5,3,7,4,6,1,2,8] => 1010100 => 0010101 => 1101010
[7,3,5,4,6,1,2,8] => 1010100 => 0010101 => 1101010
[7,8,3,5,4,1,2,6] => 0101100 => 0011010 => 1100101
[7,3,5,4,1,2,6,8] => 1011000 => 0001101 => 1110010
[5,7,6,3,4,1,2,8] => 0110100 => 0010110 => 1101001
[3,5,4,1,2,7,6,8] => 0110010 => 0100110 => 1011001
[5,7,6,1,3,2,4,8] => 0110100 => 0010110 => 1101001
[5,3,4,1,2,7,6,8] => 1010010 => 0100101 => 1011010
[7,8,3,1,2,5,4,6] => 0110010 => 0100110 => 1011001
[7,8,5,1,3,2,4,6] => 0110100 => 0010110 => 1101001
[7,5,6,1,3,2,4,8] => 1010100 => 0010101 => 1101010
[7,5,1,3,8,6,2,4] => 1100110 => 0110011 => 1001100
[7,1,3,8,2,5,4,6] => 1001010 => 0101001 => 1010110
[3,1,5,4,7,2,6,8] => 1010100 => 0010101 => 1101010
[5,7,6,1,3,8,2,4] => 0110010 => 0100110 => 1011001
[5,7,6,3,8,1,4,2] => 0110101 => 1010110 => 0101001
[5,1,3,7,6,2,4,8] => 1001100 => 0011001 => 1100110
[1,6,3,7,2,4,5,8] => 0101000 => 0001010 => 1110101
[5,3,2,4,8,1,7,6] => 1100101 => 1010011 => 0101100
[6,8,5,3,2,7,1,4] => 0111010 => 0101110 => 1010001
[8,3,7,2,6,5,1,4] => 1010110 => 0110101 => 1001010
[4,6,2,7,1,3,8,5] => 0101001 => 1001010 => 0110101
[3,4,6,5,1,8,7,2] => 0011011 => 1101100 => 0010011
[8,7,1,5,3,2,6,4] => 1101101 => 1011011 => 0100100
[3,5,1,4,7,2,8,6] => 0100101 => 1010010 => 0101101
[5,1,4,8,7,3,2,6] => 1001110 => 0111001 => 1000110
[6,1,3,4,2,7,8,5] => 1001001 => 1001001 => 0110110
[6,5,2,3,7,8,1,4] => 1100010 => 0100011 => 1011100
[1,5,3,8,4,2,7,6] => 0101101 => 1011010 => 0100101
[5,4,2,1,8,3,7,6] => 1110101 => 1010111 => 0101000
[3,1,7,4,2,6,8,5] => 1011001 => 1001101 => 0110010
[7,4,8,2,3,5,1,6] => 1010010 => 0100101 => 1011010
[8,4,1,3,2,6,7,5] => 1101001 => 1001011 => 0110100
[8,1,7,3,2,5,6,4] => 1011001 => 1001101 => 0110010
[8,6,5,2,7,3,1,4] => 1110110 => 0110111 => 1001000
[3,1,6,8,4,2,7,5] => 1001101 => 1011001 => 0100110
[1,5,2,8,3,6,7,4] => 0101001 => 1001010 => 0110101
[2,3,4,5,9,6,7,8,1] => 00001001 => 10010000 => 01101111
[2,3,4,9,5,6,7,8,1] => 00010001 => 10001000 => 01110111
[2,3,9,4,5,6,7,8,1] => 00100001 => 10000100 => 01111011
[2,3,4,5,6,7,10,8,9,1] => 000000101 => 101000000 => 010111111
[2,3,4,5,9,7,6,8,1] => 00001101 => 10110000 => 01001111
[2,3,4,5,6,10,7,8,9,1] => 000001001 => 100100000 => 011011111
[2,3,4,9,6,5,7,8,1] => 00011001 => 10011000 => 01100111
[2,3,9,5,4,6,7,8,1] => 00110001 => 10001100 => 01110011
[2,3,4,10,5,6,7,8,9,1] => 000100001 => 100001000 => 011110111
[2,9,4,3,5,6,7,8,1] => 01100001 => 10000110 => 01111001
[2,3,10,4,5,6,7,8,9,1] => 001000001 => 100000100 => 011111011
[2,3,4,5,9,7,8,6,1] => 00001011 => 11010000 => 00101111
[5,6,2,3,7,4,1,8] => 0100110 => 0110010 => 1001101
[6,2,4,7,3,5,1,8] => 1001010 => 0101001 => 1010110
[1,4,8,5,3,6,7,2] => 0011001 => 1001100 => 0110011
[2,5,6,3,1,8,4,7] => 0011010 => 0101100 => 1010011
[4,5,1,2,7,8,6,3] => 0100011 => 1100010 => 0011101
[4,8,5,1,2,6,7,3] => 0110001 => 1000110 => 0111001
[4,6,7,5,1,2,8,3] => 0011001 => 1001100 => 0110011
[7,2,8,1,4,5,3,6] => 1010010 => 0100101 => 1011010
[6,1,4,7,3,8,2,5] => 1001010 => 0101001 => 1010110
[7,1,6,3,4,8,2,5] => 1010010 => 0100101 => 1011010
[2,8,4,6,3,1,5,7] => 0101100 => 0011010 => 1100101
[8,2,6,3,5,1,4,7] => 1010100 => 0010101 => 1101010
[3,7,4,1,5,8,2,6] => 0110010 => 0100110 => 1011001
[3,8,4,1,7,2,5,6] => 0110100 => 0010110 => 1101001
[6,7,5,1,3,8,2,4] => 0110010 => 0100110 => 1011001
[8,5,1,3,6,7,2,4] => 1100010 => 0100011 => 1011100
[7,8,6,2,4,1,3,5] => 0110100 => 0010110 => 1101001
[8,2,4,1,3,6,7,5] => 1010001 => 1000101 => 0111010
[8,1,3,6,2,5,7,4] => 1001001 => 1001001 => 0110110
[1,5,6,3,8,4,7,2] => 0010101 => 1010100 => 0101011
[5,6,1,3,7,2,8,4] => 0100101 => 1010010 => 0101101
[5,6,1,8,2,3,7,4] => 0101001 => 1001010 => 0110101
[5,6,1,2,8,4,7,3] => 0100101 => 1010010 => 0101101
[3,7,8,1,6,4,2,5] => 0010110 => 0110100 => 1001011
[1,7,8,6,3,4,2,5] => 0011010 => 0101100 => 1010011
[1,7,3,8,6,4,2,5] => 0101110 => 0111010 => 1000101
[5,7,1,8,6,4,2,3] => 0101110 => 0111010 => 1000101
[7,8,1,5,6,4,2,3] => 0100110 => 0110010 => 1001101
[7,1,8,5,6,4,2,3] => 1010110 => 0110101 => 1001010
[7,1,5,8,6,4,2,3] => 1001110 => 0111001 => 1000110
[8,1,3,5,6,4,2,7] => 1000110 => 0110001 => 1001110
[1,3,8,5,6,4,2,7] => 0010110 => 0110100 => 1001011
[1,3,5,8,6,4,2,7] => 0001110 => 0111000 => 1000111
[1,5,7,8,6,4,2,3] => 0001110 => 0111000 => 1000111
[3,2,4,1,6,5,8,7,10,9] => 101010101 => 101010101 => 010101010
[3,2,5,4,7,6,9,8,10,1] => 101010101 => 101010101 => 010101010
[3,2,5,4,7,6,9,8,11,10,12,1] => 10101010101 => 10101010101 => 01010101010
[1,8,2,6,5,3,4,7] => 0101100 => 0011010 => 1100101
[8,6,1,5,2,3,4,7] => 1101000 => 0001011 => 1110100
[8,5,1,6,2,3,4,7] => 1101000 => 0001011 => 1110100
[7,6,1,2,3,8,4,5] => 1100010 => 0100011 => 1011100
[2,7,8,4,1,3,5,6] => 0011000 => 0001100 => 1110011
[6,8,1,2,3,7,4,5] => 0100010 => 0100010 => 1011101
[8,1,3,5,6,7,2,4] => 1000010 => 0100001 => 1011110
[8,1,2,5,3,4,7,6] => 1001001 => 1001001 => 0110110
[5,2,7,3,4,8,1,6] => 1010010 => 0100101 => 1011010
[8,6,4,7,3,5,2,1] => 1101011 => 1101011 => 0010100
[4,2,1,6,5,7,8,3] => 1101001 => 1001011 => 0110100
[2,7,5,4,1,3,6,8] => 0111000 => 0001110 => 1110001
[2,7,4,6,5,1,8,3] => 0101101 => 1011010 => 0100101
[6,8,7,5,2,1,4,3] => 0111101 => 1011110 => 0100001
[2,8,6,3,5,1,4,7] => 0110100 => 0010110 => 1101001
[1,2,8,6,4,5,3,7] => 0011010 => 0101100 => 1010011
[1,5,8,7,6,3,4,2] => 0011101 => 1011100 => 0100011
[1,6,4,8,5,7,3,2] => 0101011 => 1101010 => 0010101
[1,6,8,5,2,7,3,4] => 0011010 => 0101100 => 1010011
[1,6,8,5,4,2,3,7] => 0011100 => 0011100 => 1100011
[2,1,8,3,4,5,6,7,9] => 10100000 => 00000101 => 11111010
[3,1,6,4,2,5,8,7] => 1011001 => 1001101 => 0110010
[5,4,2,3,6,8,1,7] => 1100010 => 0100011 => 1011100
[8,2,6,3,5,7,1,4] => 1010010 => 0100101 => 1011010
[3,1,7,8,6,2,5,4] => 1001101 => 1011001 => 0100110
[2,8,1,6,5,3,7,4] => 0101101 => 1011010 => 0100101
[2,1,5,7,6,3,8,4] => 1001101 => 1011001 => 0100110
[4,3,5,1,7,8,6,2] => 1010011 => 1100101 => 0011010
[1,8,5,2,3,4,7,6] => 0110001 => 1000110 => 0111001
[1,9,6,2,3,4,5,8,7] => 01100001 => 10000110 => 01111001
[1,5,8,2,3,4,7,6] => 0010001 => 1000100 => 0111011
[1,2,7,8,4,5,6,3] => 0001001 => 1001000 => 0110111
[1,2,3,4,5,6,9,7,10,8] => 000000101 => 101000000 => 010111111
[2,3,4,5,6,9,10,1,7,8] => 000000100 => 001000000 => 110111111
[4,3,8,7,6,2,5,1] => 1011101 => 1011101 => 0100010
[5,4,8,2,7,6,3,1] => 1010111 => 1110101 => 0001010
[2,3,6,1,7,5,8,4] => 0010101 => 1010100 => 0101011
[4,6,5,2,1,7,8,3] => 0111001 => 1001110 => 0110001
[4,6,1,7,5,8,3,2] => 0101011 => 1101010 => 0010101
[4,1,5,7,6,8,3,2] => 1001011 => 1101001 => 0010110
[3,5,6,2,1,4,7,8] => 0011000 => 0001100 => 1110011
[4,3,6,5,1,7,8,2] => 1011001 => 1001101 => 0110010
[4,6,5,3,1,7,8,2] => 0111001 => 1001110 => 0110001
[1,2,3,4,5,7,6,8,9,10] => 000001000 => 000100000 => 111011111
[1,2,3,5,4,6,7,8,9,10] => 000100000 => 000001000 => 111110111
[1,2,3,5,4,7,6,9,8,10] => 000101010 => 010101000 => 101010111
[5,8,1,4,2,3,6,7] => 0101000 => 0001010 => 1110101
[4,5,8,2,3,1,6,7] => 0010100 => 0010100 => 1101011
[3,5,4,8,1,7,2,6] => 0101010 => 0101010 => 1010101
[5,3,6,8,1,4,7,2] => 1001001 => 1001001 => 0110110
[3,5,1,8,6,4,7,2] => 0101101 => 1011010 => 0100101
[4,7,2,8,3,1,6,5] => 0101101 => 1011010 => 0100101
[1,2,5,6,8,3,7,4] => 0000101 => 1010000 => 0101111
[5,3,8,4,6,2,7,1] => 1010101 => 1010101 => 0101010
[7,4,8,1,5,2,6,3] => 1010101 => 1010101 => 0101010
[8,3,2,1,6,5,7,4] => 1110101 => 1010111 => 0101000
[4,1,5,6,8,7,2,3] => 1000110 => 0110001 => 1001110
[1,2,5,6,8,4,7,3] => 0000101 => 1010000 => 0101111
[1,5,6,8,4,7,2,3] => 0001010 => 0101000 => 1010111
[5,6,8,1,2,4,7,3] => 0010001 => 1000100 => 0111011
[6,8,1,4,5,7,2,3] => 0100010 => 0100010 => 1011101
[4,3,5,1,8,6,7,2] => 1010101 => 1010101 => 0101010
[1,3,5,6,8,4,7,2] => 0000101 => 1010000 => 0101111
[5,6,8,2,3,4,7,1] => 0010001 => 1000100 => 0111011
[9,8,7,4,5,6,3,2,1] => 11100111 => 11100111 => 00011000
[6,5,1,2,4,8,7,3] => 1100011 => 1100011 => 0011100
[5,8,7,2,1,3,6,4] => 0111001 => 1001110 => 0110001
[5,1,7,2,8,6,3,4] => 1010110 => 0110101 => 1001010
[6,1,5,3,4,8,7,2] => 1010011 => 1100101 => 0011010
[5,8,6,3,2,1,4,7] => 0111100 => 0011110 => 1100001
[8,7,1,6,3,5,4,2] => 1101011 => 1101011 => 0010100
[3,2,1,7,8,6,4,5] => 1100110 => 0110011 => 1001100
[8,6,7,1,2,5,3,4] => 1010010 => 0100101 => 1011010
[1,5,6,4,2,8,7,3] => 0011011 => 1101100 => 0010011
[7,5,1,4,8,2,3,6] => 1100100 => 0010011 => 1101100
[3,2,8,1,7,5,6,4] => 1010101 => 1010101 => 0101010
[8,4,3,1,7,5,6,2] => 1110101 => 1010111 => 0101000
[6,1,7,8,4,2,3,5] => 1001100 => 0011001 => 1100110
[7,4,3,1,8,5,2,6] => 1110110 => 0110111 => 1001000
[7,8,1,6,3,4,5,2] => 0101001 => 1001010 => 0110101
[6,8,1,7,3,4,2,5] => 0101010 => 0101010 => 1010101
[1,5,6,7,8,9,2,3,4] => 00000100 => 00100000 => 11011111
[1,8,9,10,2,3,4,5,6,7] => 000100000 => 000001000 => 111110111
[1,7,2,8,9,3,4,5,6] => 01001000 => 00010010 => 11101101
[1,6,2,7,8,9,3,4,5] => 01000100 => 00100010 => 11011101
[1,5,2,6,7,8,9,3,4] => 01000010 => 01000010 => 10111101
[1,5,6,7,8,9,10,2,3,4] => 000000100 => 001000000 => 110111111
[3,4,2,1,5,6,7,8,9] => 01100000 => 00000110 => 11111001
[4,3,1,2,5,6,7,8,9] => 11000000 => 00000011 => 11111100
[2,3,1,4,5,6,7,8,9,10,11] => 0100000000 => 0000000010 => 1111111101
[3,4,2,1,5,6,7,8,9,10] => 011000000 => 000000110 => 111111001
[4,5,2,1,3,6,7,8,9] => 01100000 => 00000110 => 11111001
[3,4,2,5,1,6,7,8,9] => 01010000 => 00001010 => 11110101
[5,3,1,2,4,6,7,8,9] => 11000000 => 00000011 => 11111100
[4,3,5,1,2,6,7,8,9] => 10100000 => 00000101 => 11111010
[4,3,1,2,5,6,7,8,9,10] => 110000000 => 000000011 => 111111100
[3,1,2,4,5,6,7,8,9,10,11] => 1000000000 => 0000000001 => 1111111110
[4,6,5,3,8,2,7,1] => 0110101 => 1010110 => 0101001
[4,5,6,3,8,1,7,2] => 0010101 => 1010100 => 0101011
[7,8,3,5,2,1,6,4] => 0101101 => 1011010 => 0100101
[6,3,7,5,2,4,1,8] => 1011010 => 0101101 => 1010010
[6,2,4,5,7,3,1,8] => 1000110 => 0110001 => 1001110
[7,8,1,5,6,4,3,2] => 0100111 => 1110010 => 0001101
[6,3,7,5,1,4,2,8] => 1011010 => 0101101 => 1010010
[1,3,8,2,4,6,7,5] => 0010001 => 1000100 => 0111011
[6,1,7,3,4,2,5,8] => 1010100 => 0010101 => 1101010
[3,1,7,2,5,8,6,4] => 1010011 => 1100101 => 0011010
[2,8,7,6,3,5,1,4] => 0111010 => 0101110 => 1010001
[2,8,7,1,5,6,4,3] => 0110011 => 1100110 => 0011001
[3,5,6,2,8,1,7,4] => 0010101 => 1010100 => 0101011
[5,3,1,8,6,2,7,4] => 1101101 => 1011011 => 0100100
[3,1,4,6,8,2,7,5] => 1000101 => 1010001 => 0101110
[4,1,5,7,3,8,2,6] => 1001010 => 0101001 => 1010110
[6,2,5,8,4,7,3,1] => 1001011 => 1101001 => 0010110
[7,2,8,5,4,3,6,1] => 1011101 => 1011101 => 0100010
[7,1,6,8,2,5,3,4] => 1001010 => 0101001 => 1010110
[2,6,5,7,8,4,1,3] => 0100110 => 0110010 => 1001101
[3,6,5,7,4,1,8,2] => 0101101 => 1011010 => 0100101
[1,6,5,7,4,2,3,8] => 0101100 => 0011010 => 1100101
[3,4,7,5,2,1,8,6] => 0011101 => 1011100 => 0100011
[3,6,7,5,8,4,1,2] => 0010110 => 0110100 => 1001011
[3,4,7,2,5,6,8,1] => 0010001 => 1000100 => 0111011
[2,5,3,7,8,6,4,1] => 0100111 => 1110010 => 0001101
[7,2,8,4,5,6,3,1] => 1010011 => 1100101 => 0011010
[6,2,3,8,5,4,7,1] => 1001101 => 1011001 => 0100110
[5,4,3,1,2,6,7,8,9] => 11100000 => 00000111 => 11111000
[6,5,4,3,1,2,7,8,9] => 11110000 => 00001111 => 11110000
[8,5,4,3,9,1,2,6,7] => 11101000 => 00010111 => 11101000
[6,5,4,3,1,2,7,8,9,10] => 111100000 => 000001111 => 111110000
[7,6,5,4,3,1,2,8,9,10] => 111110000 => 000011111 => 111100000
[9,6,5,4,3,10,1,2,7,8] => 111101000 => 000101111 => 111010000
[6,8,7,3,2,4,5,1] => 0111001 => 1001110 => 0110001
[3,8,6,1,4,5,7,2] => 0110001 => 1000110 => 0111001
[7,5,8,6,4,1,3,2] => 1011101 => 1011101 => 0100010
[2,7,6,3,8,5,1,4] => 0110110 => 0110110 => 1001001
[2,3,1,8,4,6,5,7] => 0101010 => 0101010 => 1010101
[2,3,1,7,6,8,4,5] => 0101010 => 0101010 => 1010101
[2,3,1,8,4,6,7,5] => 0101001 => 1001010 => 0110101
[6,2,3,4,5,1,9,7,8] => 10001010 => 01010001 => 10101110
[4,2,3,5,1,8,6,7] => 1001010 => 0101001 => 1010110
[2,3,4,5,9,7,1,8,6] => 00001101 => 10110000 => 01001111
[2,3,4,9,6,7,1,8,5] => 00010101 => 10101000 => 01010111
[2,3,9,5,6,1,7,8,4] => 00101001 => 10010100 => 01101011
[2,3,9,5,1,7,4,8,6] => 00110101 => 10101100 => 01010011
[2,3,4,5,6,7,10,9,1,8] => 000000110 => 011000000 => 100111111
[2,3,4,5,6,10,8,9,1,7] => 000001010 => 010100000 => 101011111
[2,3,4,5,6,10,8,1,9,7] => 000001101 => 101100000 => 010011111
[2,3,4,5,6,10,8,1,7,9] => 000001100 => 001100000 => 110011111
[2,3,4,5,6,10,1,7,8,9] => 000001000 => 000100000 => 111011111
[2,3,4,5,10,7,8,9,1,6] => 000010010 => 010010000 => 101101111
[2,3,4,5,10,7,8,1,9,6] => 000010101 => 101010000 => 010101111
[2,3,4,5,10,7,8,1,6,9] => 000010100 => 001010000 => 110101111
[2,3,4,5,10,7,1,9,6,8] => 000011010 => 010110000 => 101001111
[2,3,4,5,10,7,1,6,8,9] => 000011000 => 000110000 => 111001111
[2,3,4,5,10,1,6,7,8,9] => 000010000 => 000010000 => 111101111
[2,3,4,10,6,7,8,1,9,5] => 000100101 => 101001000 => 010110111
[2,3,4,10,6,7,8,1,5,9] => 000100100 => 001001000 => 110110111
[2,3,4,10,6,7,1,8,9,5] => 000101001 => 100101000 => 011010111
[2,3,4,10,6,7,1,9,5,8] => 000101010 => 010101000 => 101010111
[2,3,4,10,6,7,1,5,8,9] => 000101000 => 000101000 => 111010111
[2,3,4,10,6,1,8,5,9,7] => 000110101 => 101011000 => 010100111
[2,3,4,10,6,1,8,5,7,9] => 000110100 => 001011000 => 110100111
[2,3,4,10,6,1,5,7,8,9] => 000110000 => 000011000 => 111100111
[2,3,4,10,1,5,6,7,8,9] => 000100000 => 000001000 => 111110111
[2,3,10,5,6,1,8,9,4,7] => 001010010 => 010010100 => 101101011
[2,3,10,5,6,1,8,4,9,7] => 001010101 => 101010100 => 010101011
[2,3,10,5,6,1,8,4,7,9] => 001010100 => 001010100 => 110101011
[2,3,10,5,6,1,4,7,8,9] => 001010000 => 000010100 => 111101011
[2,3,10,5,1,7,4,9,6,8] => 001101010 => 010101100 => 101010011
[2,3,10,5,1,7,4,6,8,9] => 001101000 => 000101100 => 111010011
[2,3,10,5,1,4,6,7,8,9] => 001100000 => 000001100 => 111110011
[2,10,4,1,6,3,8,5,9,7] => 011010101 => 101010110 => 010101001
[2,10,4,1,6,3,8,5,7,9] => 011010100 => 001010110 => 110101001
[2,10,4,1,6,3,5,7,8,9] => 011010000 => 000010110 => 111101001
[2,10,4,1,3,5,6,7,8,9] => 011000000 => 000000110 => 111111001
[5,8,7,2,6,4,1,3] => 0110110 => 0110110 => 1001001
[6,8,5,1,7,4,3,2] => 0110111 => 1110110 => 0001001
[6,8,5,2,7,4,1,3] => 0110110 => 0110110 => 1001001
[7,3,8,6,5,2,1,4] => 1011110 => 0111101 => 1000010
[7,5,8,1,6,4,3,2] => 1010111 => 1110101 => 0001010
[7,5,8,2,6,4,1,3] => 1010110 => 0110101 => 1001010
[6,3,2,8,1,7,5,4] => 1101011 => 1101011 => 0010100
[2,1,3,4,5,6,8,7,9] => 10000010 => 01000001 => 10111110
[2,3,4,5,6,8,7,9,1] => 00000101 => 10100000 => 01011111
[2,6,8,7,1,3,5,4] => 0011001 => 1001100 => 0110011
[5,3,8,7,6,2,1,4] => 1011110 => 0111101 => 1000010
[3,7,6,1,4,5,2,8] => 0110010 => 0100110 => 1011001
[4,1,6,2,7,5,3,8] => 1010110 => 0110101 => 1001010
[7,6,2,5,3,1,4,8] => 1101100 => 0011011 => 1100100
[4,3,1,7,6,2,5,8] => 1101100 => 0011011 => 1100100
[4,5,3,1,2,8,6,7] => 0110010 => 0100110 => 1011001
[2,4,5,3,1,8,6,7] => 0011010 => 0101100 => 1010011
[5,7,6,2,3,1,4,8] => 0110100 => 0010110 => 1101001
[4,1,3,7,5,2,6,8] => 1001100 => 0011001 => 1100110
[4,1,6,3,2,7,5,8] => 1011010 => 0101101 => 1010010
[7,5,4,1,3,2,6,8] => 1110100 => 0010111 => 1101000
[2,4,8,5,6,3,1,7] => 0010110 => 0110100 => 1001011
[2,5,7,4,1,3,6,8] => 0011000 => 0001100 => 1110011
[5,7,4,1,3,2,6,8] => 0110100 => 0010110 => 1101001
[2,6,8,4,5,3,1,7] => 0010110 => 0110100 => 1001011
[5,2,3,7,4,1,6,8] => 1001100 => 0011001 => 1100110
[4,5,1,6,3,2,7,8] => 0101100 => 0011010 => 1100101
[5,1,6,3,2,4,7,8] => 1011000 => 0001101 => 1110010
[4,2,5,1,6,3,7,8] => 1010100 => 0010101 => 1101010
[5,1,6,2,4,3,7,8] => 1010100 => 0010101 => 1101010
[5,3,4,8,7,6,2,1] => 1001111 => 1111001 => 0000110
[8,3,1,6,7,5,4,2] => 1100111 => 1110011 => 0001100
[8,4,6,5,7,2,3,1] => 1010101 => 1010101 => 0101010
[1,8,2,6,7,4,5,3] => 0100101 => 1010010 => 0101101
[8,5,7,2,4,3,6,1] => 1010101 => 1010101 => 0101010
[8,5,3,6,4,7,2,1] => 1101011 => 1101011 => 0010100
[8,2,5,3,6,7,4,1] => 1010011 => 1100101 => 0011010
[1,2,8,3,4,7,6,5] => 0010011 => 1100100 => 0011011
[6,8,5,2,7,1,3,4] => 0110100 => 0010110 => 1101001
[7,6,4,5,2,1,8,3] => 1101101 => 1011011 => 0100100
[8,2,4,7,6,3,1,5] => 1001110 => 0111001 => 1000110
[7,3,8,5,4,2,1,6] => 1011110 => 0111101 => 1000010
[6,3,4,7,2,8,5,1] => 1001011 => 1101001 => 0010110
[8,1,7,3,6,4,2,5] => 1010110 => 0110101 => 1001010
[7,1,8,5,3,4,2,6] => 1011010 => 0101101 => 1010010
[6,8,4,3,1,5,2,7] => 0111010 => 0101110 => 1010001
[1,4,5,8,3,2,6,7] => 0001100 => 0011000 => 1100111
[1,5,2,4,7,8,6,3] => 0100011 => 1100010 => 0011101
[5,2,7,4,3,8,6,1] => 1011011 => 1101101 => 0010010
[2,7,3,4,8,5,6,1] => 0100101 => 1010010 => 0101101
[2,7,6,8,3,5,4,1] => 0101011 => 1101010 => 0010101
[2,7,4,5,3,8,6,1] => 0101011 => 1101010 => 0010101
[6,2,3,7,4,5,8,1] => 1001001 => 1001001 => 0110110
[1,6,3,2,7,5,8,4] => 0110101 => 1010110 => 0101001
[7,3,5,2,6,8,1,4] => 1010010 => 0100101 => 1011010
[6,4,2,7,1,5,8,3] => 1101001 => 1001011 => 0110100
[2,5,3,6,4,7,8,1] => 0101001 => 1001010 => 0110101
[4,2,5,3,6,7,8,1] => 1010001 => 1000101 => 0111010
[1,6,5,2,4,7,3,8] => 0110010 => 0100110 => 1011001
[1,8,7,2,4,6,3,5] => 0110010 => 0100110 => 1011001
[1,8,7,2,5,4,3,6] => 0110110 => 0110110 => 1001001
[1,5,4,2,7,3,6,8] => 0110100 => 0010110 => 1101001
[1,5,4,2,8,7,3,6] => 0110110 => 0110110 => 1001001
[1,6,8,3,5,2,4,7] => 0010100 => 0010100 => 1101011
[1,7,6,2,3,5,8,4] => 0110001 => 1000110 => 0111001
[1,2,8,3,6,5,4,7] => 0010110 => 0110100 => 1001011
[1,3,8,6,5,2,4,7] => 0011100 => 0011100 => 1100011
[1,4,7,3,2,8,6,5] => 0011011 => 1101100 => 0010011
[1,8,6,5,2,4,7,3] => 0111001 => 1001110 => 0110001
[1,6,8,4,3,2,5,7] => 0011100 => 0011100 => 1100011
[1,7,5,3,2,6,4,8] => 0111010 => 0101110 => 1010001
[1,2,6,5,3,8,4,7] => 0011010 => 0101100 => 1010011
[1,7,3,2,8,4,6,5] => 0110101 => 1010110 => 0101001
[1,6,5,2,8,4,7,3] => 0110101 => 1010110 => 0101001
[1,8,3,7,2,4,6,5] => 0101001 => 1001010 => 0110101
[5,4,2,8,7,6,1,3] => 1101110 => 0111011 => 1000100
[8,6,3,2,5,7,4,1] => 1110011 => 1100111 => 0011000
[7,3,2,1,6,5,8,4] => 1110101 => 1010111 => 0101000
[7,3,2,6,1,5,8,4] => 1101001 => 1001011 => 0110100
[6,8,5,2,7,1,4,3] => 0110101 => 1010110 => 0101001
[6,8,2,5,1,7,4,3] => 0101011 => 1101010 => 0010101
[6,8,5,7,2,1,4,3] => 0101101 => 1011010 => 0100101
[6,5,8,2,7,4,1,3] => 1010110 => 0110101 => 1001010
[6,2,1,7,5,8,4,3] => 1101011 => 1101011 => 0010100
[1,6,4,8,5,3,7,2] => 0101101 => 1011010 => 0100101
[1,6,5,3,4,7,8,2] => 0110001 => 1000110 => 0111001
[4,2,6,7,8,1,3,5] => 1000100 => 0010001 => 1101110
[4,6,5,1,3,7,8,2] => 0110001 => 1000110 => 0111001
[5,1,7,2,6,4,8,3] => 1010101 => 1010101 => 0101010
[4,1,7,6,5,8,2,3] => 1011010 => 0101101 => 1010010
[5,2,1,7,6,4,8,3] => 1101101 => 1011011 => 0100100
[4,2,3,6,7,8,1,5] => 1000010 => 0100001 => 1011110
[4,7,2,1,6,5,8,3] => 0110101 => 1010110 => 0101001
[2,7,6,4,1,5,8,3] => 0111001 => 1001110 => 0110001
[2,4,3,6,7,8,1,5] => 0100010 => 0100010 => 1011101
[6,8,5,2,7,3,1,4] => 0110110 => 0110110 => 1001001
[7,5,2,4,1,8,3,6] => 1101010 => 0101011 => 1010100
[6,5,1,3,7,8,2,4] => 1100010 => 0100011 => 1011100
[7,2,1,4,3,5,8,6] => 1101001 => 1001011 => 0110100
[6,1,2,4,3,7,8,5] => 1001001 => 1001001 => 0110110
[8,1,5,4,2,3,6,7] => 1011000 => 0001101 => 1110010
[7,1,2,4,6,3,8,5] => 1000101 => 1010001 => 0101110
[7,1,2,6,5,3,8,4] => 1001101 => 1011001 => 0100110
[7,5,6,1,2,4,8,3] => 1010001 => 1000101 => 0111010
[7,1,4,5,2,3,6,8] => 1001000 => 0001001 => 1110110
[6,1,4,8,7,2,3,5] => 1001100 => 0011001 => 1100110
[6,1,8,5,7,2,3,4] => 1010100 => 0010101 => 1101010
[1,6,7,5,8,3,4,2] => 0010101 => 1010100 => 0101011
[6,1,7,5,8,2,3,4] => 1010100 => 0010101 => 1101010
[6,1,4,7,8,2,3,5] => 1000100 => 0010001 => 1101110
[8,1,2,3,7,5,4,6] => 1000110 => 0110001 => 1001110
[5,8,6,1,2,4,7,3] => 0110001 => 1000110 => 0111001
[1,6,8,7,5,3,4,2] => 0011101 => 1011100 => 0100011
[6,1,8,7,5,2,3,4] => 1011100 => 0011101 => 1100010
[8,3,1,2,4,6,5,7] => 1100010 => 0100011 => 1011100
[8,3,1,2,4,5,7,6] => 1100001 => 1000011 => 0111100
[6,3,1,2,4,7,5,8] => 1100010 => 0100011 => 1011100
[6,7,1,4,2,3,5,8] => 0101000 => 0001010 => 1110101
[6,1,7,4,8,2,3,5] => 1010100 => 0010101 => 1101010
[6,7,8,5,1,2,4,3] => 0011001 => 1001100 => 0110011
[8,6,5,4,3,2,7,9,1] => 11111001 => 10011111 => 01100000
[8,9,5,4,3,2,1,6,7] => 01111100 => 00111110 => 11000001
[7,6,5,4,3,8,9,1,2] => 11110010 => 01001111 => 10110000
[9,6,5,4,3,2,7,1,8] => 11111010 => 01011111 => 10100000
[8,7,6,5,4,3,2,9,1,10] => 111111010 => 010111111 => 101000000
[9,2,3,4,5,6,1,7,8] => 10000100 => 00100001 => 11011110
[3,1,5,6,7,8,9,2,4] => 10000010 => 01000001 => 10111110
[2,1,3,5,6,7,8,9,4] => 10000001 => 10000001 => 01111110
[4,3,8,5,6,2,7,1] => 1010101 => 1010101 => 0101010
[4,3,8,6,7,2,5,1] => 1010101 => 1010101 => 0101010
[7,6,8,1,5,3,4,2] => 1010101 => 1010101 => 0101010
[7,4,6,1,5,3,8,2] => 1010101 => 1010101 => 0101010
[6,3,8,1,7,2,5,4] => 1010101 => 1010101 => 0101010
[6,1,5,4,8,2,7,3] => 1010101 => 1010101 => 0101010
[6,2,5,4,7,1,8,3] => 1010101 => 1010101 => 0101010
[2,6,3,4,8,7,5,1] => 0100111 => 1110010 => 0001101
[2,7,4,5,1,8,3,6] => 0101010 => 0101010 => 1010101
[8,4,5,7,6,1,2,3] => 1001100 => 0011001 => 1100110
[8,4,5,7,1,3,6,2] => 1001001 => 1001001 => 0110110
[8,1,3,4,6,7,5,2] => 1000011 => 1100001 => 0011110
[8,7,6,2,3,5,4,1] => 1110011 => 1100111 => 0011000
[8,3,6,7,5,1,2,4] => 1001100 => 0011001 => 1100110
[8,2,1,6,5,7,4,3] => 1101011 => 1101011 => 0010100
[2,7,1,8,5,6,4,3] => 0101011 => 1101010 => 0010101
[2,7,8,6,1,5,3,4] => 0011010 => 0101100 => 1010011
[4,6,8,2,3,5,1,7] => 0010010 => 0100100 => 1011011
[6,8,2,1,3,5,4,7] => 0110010 => 0100110 => 1011001
[3,5,1,6,4,8,2,7] => 0101010 => 0101010 => 1010101
[3,5,8,6,2,1,4,7] => 0011100 => 0011100 => 1100011
[2,4,8,5,6,1,3,7] => 0010100 => 0010100 => 1101011
[4,8,2,5,6,1,3,7] => 0100100 => 0010010 => 1101101
[5,3,8,4,2,7,6,1] => 1011011 => 1101101 => 0010010
[2,8,5,3,1,4,7,6] => 0111001 => 1001110 => 0110001
[1,7,8,4,6,3,2,5] => 0010110 => 0110100 => 1001011
[8,7,2,4,6,3,1,5] => 1100110 => 0110011 => 1001100
[8,7,3,2,1,6,4,5] => 1111010 => 0101111 => 1010000
[7,8,3,4,6,5,2,1] => 0100111 => 1110010 => 0001101
[8,7,3,6,5,2,4,1] => 1101101 => 1011011 => 0100100
[3,1,2,8,6,5,7,4] => 1001101 => 1011001 => 0100110
[3,8,2,7,5,4,6,1] => 0101101 => 1011010 => 0100101
[8,7,1,4,5,3,6,2] => 1100101 => 1010011 => 0101100
[2,8,7,4,6,3,5,1] => 0110101 => 1010110 => 0101001
[2,8,7,4,6,3,1,5] => 0110110 => 0110110 => 1001001
[8,3,4,1,2,5,7,6] => 1010001 => 1000101 => 0111010
[8,4,1,3,2,5,7,6] => 1101001 => 1001011 => 0110100
[7,3,8,6,2,1,4,5] => 1011100 => 0011101 => 1100010
[7,2,8,4,6,5,1,3] => 1010110 => 0110101 => 1001010
[5,8,6,4,7,2,3,1] => 0110101 => 1010110 => 0101001
[4,7,2,6,5,8,3,1] => 0101011 => 1101010 => 0010101
[3,6,8,5,7,4,2,1] => 0010111 => 1110100 => 0001011
[6,7,5,2,4,8,3,1] => 0110011 => 1100110 => 0011001
[8,1,2,7,5,6,3,4] => 1001010 => 0101001 => 1010110
[8,2,7,3,4,6,1,5] => 1010010 => 0100101 => 1011010
[6,7,5,4,8,1,3,2] => 0110101 => 1010110 => 0101001
[8,3,5,6,4,7,2,1] => 1001011 => 1101001 => 0010110
[8,5,6,2,4,3,7,1] => 1010101 => 1010101 => 0101010
[6,5,8,1,3,4,2,7] => 1010010 => 0100101 => 1011010
[6,8,4,5,1,3,2,7] => 0101010 => 0101010 => 1010101
[6,4,8,7,5,3,2,1] => 1011111 => 1111101 => 0000010
[6,7,1,4,3,2,8,5] => 0101101 => 1011010 => 0100101
[7,2,5,1,4,8,3,6] => 1010010 => 0100101 => 1011010
[5,8,1,3,4,2,7,6] => 0100101 => 1010010 => 0101101
[1,5,6,3,2,8,7,4] => 0011011 => 1101100 => 0010011
[1,3,7,6,8,4,2,5] => 0010110 => 0110100 => 1001011
[1,6,7,3,2,8,5,4] => 0011011 => 1101100 => 0010011
[3,2,7,6,8,4,5,1] => 1010101 => 1010101 => 0101010
[1,3,8,5,2,7,6,4] => 0011011 => 1101100 => 0010011
[6,4,1,5,2,8,7,3] => 1101011 => 1101011 => 0010100
[7,6,5,3,1,8,2,4] => 1111010 => 0101111 => 1010000
[2,5,1,4,7,3,6,8] => 0100100 => 0010010 => 1101101
[3,1,6,5,7,2,4,8] => 1010100 => 0010101 => 1101010
[2,6,1,5,7,4,8,3] => 0100101 => 1010010 => 0101101
[2,5,7,1,6,3,8,4] => 0010101 => 1010100 => 0101011
[2,6,1,5,7,4,3,8] => 0100110 => 0110010 => 1001101
[3,1,6,5,2,4,7,8] => 1011000 => 0001101 => 1110010
[3,6,5,1,4,2,7,8] => 0110100 => 0010110 => 1101001
[3,6,5,1,7,2,4,8] => 0110100 => 0010110 => 1101001
[3,6,5,2,1,4,7,8] => 0111000 => 0001110 => 1110001
[5,4,3,6,1,7,2,8] => 1101010 => 0101011 => 1010100
[4,5,2,7,6,1,3,8] => 0101100 => 0011010 => 1100101
[4,6,5,3,1,2,7,8] => 0111000 => 0001110 => 1110001
[5,4,1,6,3,7,2,8] => 1101010 => 0101011 => 1010100
[5,4,2,6,3,7,8,1] => 1101001 => 1001011 => 0110100
[3,6,5,7,1,4,2,8] => 0101010 => 0101010 => 1010101
[3,6,5,1,4,7,2,8] => 0110010 => 0100110 => 1011001
[4,3,6,5,7,1,2,8] => 1010100 => 0010101 => 1101010
[4,2,6,5,1,3,7,8] => 1011000 => 0001101 => 1110010
[4,1,6,5,3,7,8,2] => 1011001 => 1001101 => 0110010
[4,2,5,7,6,1,3,8] => 1001100 => 0011001 => 1100110
[3,4,7,6,1,2,5,8] => 0011000 => 0001100 => 1110011
[4,2,5,7,6,3,8,1] => 1001101 => 1011001 => 0100110
[4,1,6,5,2,7,3,8] => 1011010 => 0101101 => 1010010
[3,6,5,7,2,1,4,8] => 0101100 => 0011010 => 1100101
[3,5,7,6,2,4,1,8] => 0011010 => 0101100 => 1010011
[5,4,2,6,3,7,1,8] => 1101010 => 0101011 => 1010100
[4,6,5,2,7,3,1,8] => 0110110 => 0110110 => 1001001
[4,6,5,2,1,7,3,8] => 0111010 => 0101110 => 1010001
[3,5,8,2,1,4,6,7] => 0011000 => 0001100 => 1110011
[3,5,8,2,4,6,7,1] => 0010001 => 1000100 => 0111011
[5,3,8,2,1,4,6,7] => 1011000 => 0001101 => 1110010
[5,3,1,8,2,4,6,7] => 1101000 => 0001011 => 1110100
[5,1,3,8,2,4,6,7] => 1001000 => 0001001 => 1110110
[1,5,8,4,2,3,6,7] => 0011000 => 0001100 => 1110011
[5,8,2,1,4,3,6,7] => 0110100 => 0010110 => 1101001
[5,8,2,4,1,6,7,3] => 0101001 => 1001010 => 0110101
[5,8,2,4,6,3,1,7] => 0100110 => 0110010 => 1001101
[5,8,2,4,3,6,1,7] => 0101010 => 0101010 => 1010101
[5,8,1,4,6,2,3,7] => 0100100 => 0010010 => 1101101
[1,5,8,4,6,7,2,3] => 0010010 => 0100100 => 1011011
[5,1,8,4,6,7,2,3] => 1010010 => 0100101 => 1011010
[5,8,2,4,6,3,7,1] => 0100101 => 1010010 => 0101101
[3,8,4,6,7,2,1,5] => 0100110 => 0110010 => 1001101
[3,8,4,6,7,2,5,1] => 0100101 => 1010010 => 0101101
[8,4,3,6,7,2,5,1] => 1100101 => 1010011 => 0101100
[8,4,3,6,7,2,1,5] => 1100110 => 0110011 => 1001100
[8,6,2,4,5,3,7,1] => 1100101 => 1010011 => 0101100
[1,8,6,4,5,7,2,3] => 0110010 => 0100110 => 1011001
[8,6,2,4,5,3,1,7] => 1100110 => 0110011 => 1001100
[1,8,6,4,2,3,5,7] => 0111000 => 0001110 => 1110001
[3,8,1,6,2,4,5,7] => 0101000 => 0001010 => 1110101
[3,8,6,2,1,4,5,7] => 0111000 => 0001110 => 1110001
[3,8,6,2,4,1,5,7] => 0110100 => 0010110 => 1101001
[3,8,6,2,4,5,7,1] => 0110001 => 1000110 => 0111001
[8,3,6,2,4,5,1,7] => 1010010 => 0100101 => 1011010
[8,1,3,6,2,4,5,7] => 1001000 => 0001001 => 1110110
[8,3,6,7,2,1,4,5] => 1001100 => 0011001 => 1100110
[3,8,6,7,2,1,4,5] => 0101100 => 0011010 => 1100101
[8,2,6,4,5,1,7,3] => 1010101 => 1010101 => 0101010
[1,8,4,6,7,5,2,3] => 0100110 => 0110010 => 1001101
[8,4,6,2,3,7,5,1] => 1010011 => 1100101 => 0011010
[8,4,7,2,1,3,6,5] => 1011001 => 1001101 => 0110010
[2,7,1,6,3,5,8,4] => 0101001 => 1001010 => 0110101
[8,4,2,1,5,3,7,6] => 1110101 => 1010111 => 0101000
[8,2,1,4,7,3,6,5] => 1100101 => 1010011 => 0101100
[1,6,2,5,8,4,7,3] => 0100101 => 1010010 => 0101101
[3,2,1,7,4,5,8,6] => 1101001 => 1001011 => 0110100
[2,6,8,5,1,7,4,3] => 0011011 => 1101100 => 0010011
[2,1,5,8,7,3,6,4] => 1001101 => 1011001 => 0100110
[3,2,1,6,7,4,8,5] => 1100101 => 1010011 => 0101100
[4,3,1,7,8,5,2,6] => 1100110 => 0110011 => 1001100
[5,6,8,2,4,3,7,1] => 0010101 => 1010100 => 0101011
[2,8,5,3,6,4,7,1] => 0110101 => 1010110 => 0101001
[1,2,8,6,4,7,3,5] => 0011010 => 0101100 => 1010011
[5,3,2,7,8,6,4,1] => 1100111 => 1110011 => 0001100
[4,2,7,8,3,5,6,1] => 1001001 => 1001001 => 0110110
[2,8,3,7,1,4,6,5] => 0101001 => 1001010 => 0110101
[2,8,7,1,5,3,6,4] => 0110101 => 1010110 => 0101001
[7,3,5,6,4,2,8,1] => 1001101 => 1011001 => 0100110
[3,8,4,2,7,6,5,1] => 0110111 => 1110110 => 0001001
[4,8,3,2,7,5,6,1] => 0110101 => 1010110 => 0101001
[3,2,4,8,7,5,6,1] => 1001101 => 1011001 => 0100110
[2,6,8,1,5,3,4,7] => 0010100 => 0010100 => 1101011
[3,2,5,6,8,1,4,7] => 1000100 => 0010001 => 1101110
[3,8,1,6,4,5,2,7] => 0101010 => 0101010 => 1010101
[8,1,3,6,5,4,2,7] => 1001110 => 0111001 => 1000110
[7,4,3,6,2,1,8,5] => 1101101 => 1011011 => 0100100
[1,2,4,8,6,3,7,5] => 0001101 => 1011000 => 0100111
[7,2,1,5,3,4,8,6] => 1101001 => 1001011 => 0110100
[5,7,2,3,1,4,8,6] => 0101001 => 1001010 => 0110101
[7,1,5,2,4,6,8,3] => 1010001 => 1000101 => 0111010
[8,4,2,7,3,5,6,1] => 1101001 => 1001011 => 0110100
[1,8,6,4,7,5,3,2] => 0110111 => 1110110 => 0001001
[7,4,1,5,8,6,3,2] => 1100111 => 1110011 => 0001100
[4,5,8,7,3,1,2,6] => 0011100 => 0011100 => 1100011
[1,3,8,7,6,4,2,5] => 0011110 => 0111100 => 1000011
[2,8,5,1,7,4,6,3] => 0110101 => 1010110 => 0101001
[1,8,6,4,7,5,2,3] => 0110110 => 0110110 => 1001001
[2,7,4,6,3,8,5,1] => 0101011 => 1101010 => 0010101
[1,2,8,6,4,7,5,3] => 0011011 => 1101100 => 0010011
[3,4,5,7,8,9,1,2,6] => 00000100 => 00100000 => 11011111
[3,5,6,7,8,9,1,2,4] => 00000100 => 00100000 => 11011111
[3,4,5,6,8,9,10,1,2,7] => 000000100 => 001000000 => 110111111
[3,5,6,7,8,9,10,1,2,4] => 000000100 => 001000000 => 110111111
[3,4,5,6,7,8,9,10,1,2,11] => 0000000100 => 0010000000 => 1101111111
[3,4,5,6,7,8,1,2,9,10] => 000001000 => 000100000 => 111011111
[3,4,5,6,9,1,2,7,8] => 00001000 => 00010000 => 11101111
[3,4,5,6,1,2,7,8,9] => 00010000 => 00001000 => 11110111
[3,4,5,6,7,9,10,11,1,2,8] => 0000000100 => 0010000000 => 1101111111
[5,1,6,7,8,9,2,3,4] => 10000100 => 00100001 => 11011110
[3,4,6,7,8,9,10,11,1,2,5] => 0000000100 => 0010000000 => 1101111111
[4,1,8,6,3,7,5,2] => 1011011 => 1101101 => 0010010
[8,4,3,1,6,2,5,7] => 1110100 => 0010111 => 1101000
[7,5,4,3,8,1,6,2] => 1110101 => 1010111 => 0101000
[5,3,1,6,2,8,7,4] => 1101011 => 1101011 => 0010100
[3,5,4,1,7,8,2,6] => 0110010 => 0100110 => 1011001
[6,4,2,1,5,7,3,8] => 1110010 => 0100111 => 1011000
[3,1,5,8,7,2,4,6] => 1001100 => 0011001 => 1100110
[3,2,5,7,8,4,6,1] => 1000101 => 1010001 => 0101110
[5,3,7,4,2,6,8,1] => 1011001 => 1001101 => 0110010
[5,3,7,4,2,6,1,8] => 1011010 => 0101101 => 1010010
[5,3,8,4,2,1,6,7] => 1011100 => 0011101 => 1100010
[5,2,8,4,3,1,6,7] => 1011100 => 0011101 => 1100010
[5,1,8,4,3,2,6,7] => 1011100 => 0011101 => 1100010
[5,2,7,4,3,6,1,8] => 1011010 => 0101101 => 1010010
[5,2,7,4,3,6,8,1] => 1011001 => 1001101 => 0110010
[5,3,7,4,1,6,8,2] => 1011001 => 1001101 => 0110010
[3,1,5,7,8,4,6,2] => 1000101 => 1010001 => 0101110
[3,1,5,7,8,4,2,6] => 1000110 => 0110001 => 1001110
[5,2,7,4,1,3,8,6] => 1011001 => 1001101 => 0110010
[6,2,3,7,4,8,5,1] => 1001011 => 1101001 => 0010110
[6,2,3,7,4,8,1,5] => 1001010 => 0101001 => 1010110
[6,2,3,7,4,5,1,8] => 1001010 => 0101001 => 1010110
[6,1,3,7,4,5,8,2] => 1001001 => 1001001 => 0110110
[1,2,8,6,4,3,5,7] => 0011100 => 0011100 => 1100011
[6,1,3,7,4,5,2,8] => 1001010 => 0101001 => 1010110
[1,8,6,3,5,4,2,7] => 0110110 => 0110110 => 1001001
[2,6,1,8,5,3,4,7] => 0101100 => 0011010 => 1100101
[4,5,7,8,1,6,3,2] => 0001011 => 1101000 => 0010111
[2,5,7,8,4,6,3,1] => 0001011 => 1101000 => 0010111
[1,8,2,7,5,3,4,6] => 0101100 => 0011010 => 1100101
[2,5,4,1,8,6,7,3] => 0110101 => 1010110 => 0101001
[7,3,5,1,4,8,6,2] => 1010011 => 1100101 => 0011010
[7,1,3,2,4,5,6,8] => 1010000 => 0000101 => 1111010
[3,8,7,1,4,2,5,6] => 0110100 => 0010110 => 1101001
[5,1,7,8,2,4,3,6] => 1001010 => 0101001 => 1010110
[8,5,4,6,1,7,3,2] => 1101011 => 1101011 => 0010100
[5,3,2,1,4,6,8,7] => 1110001 => 1000111 => 0111000
[5,3,2,4,8,1,6,7] => 1100100 => 0010011 => 1101100
[5,3,2,4,7,1,8,6] => 1100101 => 1010011 => 0101100
[4,8,1,7,3,5,6,2] => 0101001 => 1001010 => 0110101
[5,3,2,4,6,8,1,7] => 1100010 => 0100011 => 1011100
[1,2,4,3,5,7,8,9,6] => 00100001 => 10000100 => 01111011
[2,7,6,3,1,4,8,5] => 0111001 => 1001110 => 0110001
[3,7,4,5,6,8,2,1] => 0100011 => 1100010 => 0011101
[8,7,1,4,2,5,3,6] => 1101010 => 0101011 => 1010100
[4,6,8,3,7,1,5,2] => 0010101 => 1010100 => 0101011
[4,7,3,5,8,1,6,2] => 0100101 => 1010010 => 0101101
[8,4,3,5,7,1,6,2] => 1100101 => 1010011 => 0101100
[1,7,6,4,2,5,3,8] => 0111010 => 0101110 => 1010001
[7,6,4,2,8,3,1,5] => 1110110 => 0110111 => 1001000
[8,5,2,4,3,7,1,6] => 1101010 => 0101011 => 1010100
[8,5,1,4,3,7,6,2] => 1101011 => 1101011 => 0010100
[7,5,4,1,3,6,8,2] => 1110001 => 1000111 => 0111000
[3,6,7,2,5,1,8,4] => 0010101 => 1010100 => 0101011
[2,6,5,7,1,4,8,3] => 0101001 => 1001010 => 0110101
[3,5,1,7,8,4,6,2] => 0100101 => 1010010 => 0101101
[1,5,2,4,6,8,7,3] => 0100011 => 1100010 => 0011101
[8,1,2,4,7,6,5,3] => 1000111 => 1110001 => 0001110
[3,4,1,8,6,7,5,2] => 0101011 => 1101010 => 0010101
[4,3,8,5,1,7,6,2] => 1011011 => 1101101 => 0010010
[6,1,3,2,8,5,7,4] => 1010101 => 1010101 => 0101010
[3,1,2,4,5,6,7,9,8] => 10000001 => 10000001 => 01111110
[8,5,3,2,4,7,1,6] => 1110010 => 0100111 => 1011000
[6,7,4,2,5,8,3,1] => 0110011 => 1100110 => 0011001
[8,5,4,2,6,3,1,7] => 1110110 => 0110111 => 1001000
[8,5,2,1,6,4,3,7] => 1110110 => 0110111 => 1001000
[8,4,6,5,1,3,2,7] => 1011010 => 0101101 => 1010010
[1,3,8,4,7,5,2,6] => 0010110 => 0110100 => 1001011
[5,3,7,1,4,6,8,2] => 1010001 => 1000101 => 0111010
[5,7,2,6,1,4,8,3] => 0101001 => 1001010 => 0110101
[3,8,5,7,6,1,2,4] => 0101100 => 0011010 => 1100101
[8,4,7,5,2,1,3,6] => 1011100 => 0011101 => 1100010
[3,8,6,4,7,2,1,5] => 0110110 => 0110110 => 1001001
[5,2,7,4,6,8,3,1] => 1010011 => 1100101 => 0011010
[4,8,6,3,7,2,1,5] => 0110110 => 0110110 => 1001001
[2,8,3,1,7,6,4,5] => 0110110 => 0110110 => 1001001
[2,5,6,4,8,1,7,3] => 0010101 => 1010100 => 0101011
[5,7,2,1,6,8,3,4] => 0110010 => 0100110 => 1011001
[4,7,8,5,1,6,2,3] => 0011010 => 0101100 => 1010011
[4,5,2,1,6,7,8,3] => 0110001 => 1000110 => 0111001
[4,5,6,3,1,7,8,2] => 0011001 => 1001100 => 0110011
[3,5,6,7,4,1,8,2] => 0001101 => 1011000 => 0100111
[3,5,1,4,2,8,7,6] => 0101011 => 1101010 => 0010101
[3,5,1,4,2,6,8,7] => 0101001 => 1001010 => 0110101
[3,5,1,4,2,6,7,8] => 0101000 => 0001010 => 1110101
[1,3,8,4,6,2,5,7] => 0010100 => 0010100 => 1101011
[1,8,4,2,3,7,5,6] => 0110010 => 0100110 => 1011001
[1,4,8,3,2,7,6,5] => 0011011 => 1101100 => 0010011
[1,3,7,6,5,2,4,8] => 0011100 => 0011100 => 1100011
[1,2,8,6,7,5,4,3] => 0010111 => 1110100 => 0001011
[1,7,5,4,3,2,6,8] => 0111100 => 0011110 => 1100001
[8,9,10,1,5,6,7,3,4,2] => 001000101 => 101000100 => 010111011
[8,9,10,5,6,7,1,3,4,2] => 001001001 => 100100100 => 011011011
[8,9,10,1,5,6,3,4,7,2] => 001001001 => 100100100 => 011011011
[8,9,10,5,6,1,3,4,7,2] => 001010001 => 100010100 => 011101011
[8,9,10,5,6,3,4,7,1,2] => 001010010 => 010010100 => 101101011
[8,9,5,6,10,1,3,4,7,2] => 010010001 => 100010010 => 011101101
[8,9,5,6,10,3,4,7,1,2] => 010010010 => 010010010 => 101101101
[8,9,10,1,5,6,7,3,2,4] => 001000110 => 011000100 => 100111011
[8,9,10,5,6,7,1,3,2,4] => 001001010 => 010100100 => 101011011
[8,9,10,1,5,6,3,7,2,4] => 001001010 => 010100100 => 101011011
[8,9,10,5,6,1,3,7,2,4] => 001010010 => 010010100 => 101101011
[8,9,10,5,6,3,7,1,2,4] => 001010100 => 001010100 => 110101011
[8,9,5,6,10,1,3,7,2,4] => 010010010 => 010010010 => 101101101
[8,9,5,6,10,3,7,1,2,4] => 010010100 => 001010010 => 110101101
[8,9,10,1,5,6,3,2,4,7] => 001001100 => 001100100 => 110011011
[8,9,10,5,6,1,3,2,4,7] => 001010100 => 001010100 => 110101011
[8,9,10,5,6,3,1,2,4,7] => 001011000 => 000110100 => 111001011
[8,9,10,5,6,3,2,4,7,1] => 001011001 => 100110100 => 011001011
[8,9,5,6,10,1,3,2,4,7] => 010010100 => 001010010 => 110101101
[8,9,5,6,10,3,1,2,4,7] => 010011000 => 000110010 => 111001101
[8,9,5,6,10,3,2,4,7,1] => 010011001 => 100110010 => 011001101
[8,9,10,1,5,3,6,7,2,4] => 001010010 => 010010100 => 101101011
[8,9,10,5,1,3,6,7,2,4] => 001100010 => 010001100 => 101110011
[8,9,10,5,3,6,7,1,2,4] => 001100100 => 001001100 => 110110011
[8,9,5,10,1,3,6,7,2,4] => 010100010 => 010001010 => 101110101
[8,9,5,10,3,6,7,1,2,4] => 010100100 => 001001010 => 110110101
[8,9,10,1,5,3,6,2,4,7] => 001010100 => 001010100 => 110101011
[8,9,10,5,1,3,6,2,4,7] => 001100100 => 001001100 => 110110011
[8,9,10,5,3,6,1,2,4,7] => 001101000 => 000101100 => 111010011
[8,9,10,5,3,6,2,4,7,1] => 001101001 => 100101100 => 011010011
[8,9,5,10,1,3,6,2,4,7] => 010100100 => 001001010 => 110110101
[8,9,5,10,3,6,1,2,4,7] => 010101000 => 000101010 => 111010101
[8,9,5,10,3,6,2,4,7,1] => 010101001 => 100101010 => 011010101
[8,9,5,3,6,10,1,2,4,7] => 011001000 => 000100110 => 111011001
[8,9,5,3,6,10,2,4,7,1] => 011001001 => 100100110 => 011011001
[8,5,9,10,1,3,6,7,2,4] => 100100010 => 010001001 => 101110110
[8,5,9,10,3,6,7,1,2,4] => 100100100 => 001001001 => 110110110
[8,5,9,10,1,3,6,2,4,7] => 100100100 => 001001001 => 110110110
[8,5,9,10,3,6,1,2,4,7] => 100101000 => 000101001 => 111010110
[8,5,9,10,3,6,2,4,7,1] => 100101001 => 100101001 => 011010110
[3,8,5,7,4,6,2,1] => 0101011 => 1101010 => 0010101
[7,6,3,2,5,1,8,4] => 1110101 => 1010111 => 0101000
[4,2,5,7,8,6,3,1] => 1000111 => 1110001 => 0001110
[6,7,2,4,5,1,8,3] => 0100101 => 1010010 => 0101101
[5,2,7,8,3,6,1,4] => 1001010 => 0101001 => 1010110
[2,4,7,8,1,3,6,5] => 0001001 => 1001000 => 0110111
[8,5,1,2,3,7,4,6] => 1100010 => 0100011 => 1011100
[5,2,8,3,1,4,7,6] => 1011001 => 1001101 => 0110010
[8,7,2,5,1,4,3,6] => 1101010 => 0101011 => 1010100
[8,4,1,3,2,7,6,5] => 1101011 => 1101011 => 0010100
[8,3,5,1,2,4,7,6] => 1010001 => 1000101 => 0111010
[8,6,5,1,7,4,2,3] => 1110110 => 0110111 => 1001000
[8,7,4,5,1,2,6,3] => 1101001 => 1001011 => 0110100
[3,8,6,2,7,1,5,4] => 0110101 => 1010110 => 0101001
[3,4,8,2,1,7,6,5] => 0011011 => 1101100 => 0010011
[3,8,4,2,1,7,6,5] => 0111011 => 1101110 => 0010001
[8,3,1,7,5,6,2,4] => 1101010 => 0101011 => 1010100
[8,4,1,7,5,2,6,3] => 1101101 => 1011011 => 0100100
[8,4,2,7,5,3,1,6] => 1101110 => 0111011 => 1000100
[8,4,3,7,5,1,2,6] => 1101100 => 0011011 => 1100100
[8,5,7,6,4,3,1,2] => 1011110 => 0111101 => 1000010
[8,4,7,6,5,2,1,3] => 1011110 => 0111101 => 1000010
[8,3,1,4,7,6,2,5] => 1100110 => 0110011 => 1001100
[8,3,5,7,6,2,4,1] => 1001101 => 1011001 => 0100110
[1,4,6,8,2,5,7,3] => 0001001 => 1001000 => 0110111
[3,6,2,4,8,1,7,5] => 0100101 => 1010010 => 0101101
[7,3,8,2,4,6,1,5] => 1010010 => 0100101 => 1011010
[1,5,2,6,8,3,7,4] => 0100101 => 1010010 => 0101101
[4,5,3,1,8,2,6,7] => 0110100 => 0010110 => 1101001
[7,2,8,4,1,3,5,6] => 1011000 => 0001101 => 1110010
[6,1,7,3,2,8,4,5] => 1011010 => 0101101 => 1010010
[6,2,1,7,3,8,4,5] => 1101010 => 0101011 => 1010100
[5,8,2,1,3,4,6,7] => 0110000 => 0000110 => 1111001
[4,2,5,1,8,3,6,7] => 1010100 => 0010101 => 1101010
[7,4,2,8,3,1,5,6] => 1101100 => 0011011 => 1100100
[7,4,2,8,3,5,1,6] => 1101010 => 0101011 => 1010100
[6,7,8,5,2,1,4,3] => 0011101 => 1011100 => 0100011
[1,6,2,7,8,4,3,5] => 0100110 => 0110010 => 1001101
[10,1,9,5,6,7,8,2,3,4] => 101000100 => 001000101 => 110111010
[9,1,10,8,6,7,2,3,4,5] => 101101000 => 000101101 => 111010010
[8,1,9,10,7,2,3,4,5,6] => 100110000 => 000011001 => 111100110
[10,1,8,9,2,3,4,5,6,7] => 100100000 => 000001001 => 111110110
[11,1,10,5,6,7,8,9,2,3,4] => 1010000100 => 0010000101 => 1101111010
[3,1,10,9,6,7,8,2,4,5] => 101100100 => 001001101 => 110110010
[10,1,11,9,6,7,8,2,3,4,5] => 1011001000 => 0001001101 => 1110110010
[3,1,9,10,8,7,2,4,5,6] => 100111000 => 000111001 => 111000110
[9,1,10,11,8,7,2,3,4,5,6] => 1001110000 => 0000111001 => 1111000110
[3,1,8,9,10,2,4,5,6,7] => 100010000 => 000010001 => 111101110
[8,1,9,10,11,2,3,4,5,6,7] => 1000100000 => 0000010001 => 1111101110
[11,1,10,9,2,3,4,5,6,7,8] => 1011000000 => 0000001101 => 1111110010
[7,3,4,1,8,6,2,5] => 1010110 => 0110101 => 1001010
[4,7,6,3,5,8,2,1] => 0110011 => 1100110 => 0011001
[3,7,6,5,2,4,8,1] => 0111001 => 1001110 => 0110001
[1,4,7,8,6,2,5,3] => 0001101 => 1011000 => 0100111
[1,6,7,8,3,2,5,4] => 0001101 => 1011000 => 0100111
[1,3,2,7,8,4,6,5] => 0100101 => 1010010 => 0101101
[6,8,2,3,5,7,4,1] => 0100011 => 1100010 => 0011101
[5,7,1,4,6,2,8,3] => 0100101 => 1010010 => 0101101
[6,3,1,4,7,8,2,5] => 1100010 => 0100011 => 1011100
[9,8,7,6,5,1,3,4,2] => 11111001 => 10011111 => 01100000
[9,8,7,6,1,4,5,3,2] => 11110011 => 11001111 => 00110000
[8,7,1,5,4,6,3,2] => 1101011 => 1101011 => 0010100
[9,8,7,1,5,6,4,3,2] => 11100111 => 11100111 => 00011000
[9,8,1,6,7,5,4,3,2] => 11001111 => 11110011 => 00001100
[9,1,7,8,6,5,4,3,2] => 10011111 => 11111001 => 00000110
[4,5,7,1,8,6,2,3] => 0010110 => 0110100 => 1001011
[4,3,8,6,5,2,7,1] => 1011101 => 1011101 => 0100010
[2,3,8,6,5,1,7,4] => 0011101 => 1011100 => 0100011
[5,4,7,3,1,2,6,8] => 1011000 => 0001101 => 1110010
[7,6,2,1,5,4,3,8] => 1110110 => 0110111 => 1001000
[3,1,2,6,5,7,8,4] => 1001001 => 1001001 => 0110110
[7,3,2,6,1,4,8,5] => 1101001 => 1001011 => 0110100
[3,2,5,6,8,4,1,7] => 1000110 => 0110001 => 1001110
[7,2,6,8,5,4,3,1] => 1001111 => 1111001 => 0000110
[3,7,5,6,2,4,1,8] => 0101010 => 0101010 => 1010101
[3,2,4,1,6,5,8,7,9] => 10101010 => 01010101 => 10101010
[4,2,5,1,6,3,8,7,9] => 10101010 => 01010101 => 10101010
[4,2,6,1,7,3,8,5,9] => 10101010 => 01010101 => 10101010
[4,2,6,1,8,3,9,5,7] => 10101010 => 01010101 => 10101010
[4,2,6,1,7,3,5,9,8] => 10101001 => 10010101 => 01101010
[4,2,5,1,3,7,6,9,8] => 10100101 => 10100101 => 01011010
[3,2,5,4,6,1,8,7,9] => 10101010 => 01010101 => 10101010
[4,2,5,1,6,3,8,7,10,9] => 101010101 => 101010101 => 010101010
[4,2,5,1,7,6,8,3,9] => 10101010 => 01010101 => 10101010
[4,2,6,1,7,3,8,5,10,9] => 101010101 => 101010101 => 010101010
[4,2,6,1,7,3,9,8,5] => 10101011 => 11010101 => 00101010
[4,2,6,1,8,3,9,5,10,7] => 101010101 => 101010101 => 010101010
[4,2,5,1,3,6,8,7] => 1010001 => 1000101 => 0111010
[4,2,6,1,7,3,5,8,9] => 10101000 => 00010101 => 11101010
[4,2,6,1,8,3,9,5,7,10] => 101010100 => 001010101 => 110101010
[4,2,5,1,3,8,9,6,7] => 10100010 => 01000101 => 10111010
[4,2,6,1,7,3,5,9,8,10] => 101010010 => 010010101 => 101101010
[3,2,1,6,7,4,5,9,8] => 11001001 => 10010011 => 01101100
[4,2,5,1,3,7,6,9,8,10] => 101001010 => 010100101 => 101011010
[1,4,5,2,3,7,6,9,8] => 00100101 => 10100100 => 01011011
[5,3,4,2,7,1,8,6] => 1010101 => 1010101 => 0101010
[5,6,8,2,1,3,4,7] => 0011000 => 0001100 => 1110011
[6,5,2,1,3,8,4,7] => 1110010 => 0100111 => 1011000
[2,4,3,5,6,8,1,7] => 0100010 => 0100010 => 1011101
[6,3,2,4,8,5,1,7] => 1100110 => 0110011 => 1001100
[6,3,1,2,7,8,4,5] => 1100010 => 0100011 => 1011100
[8,4,7,1,2,5,3,6] => 1010010 => 0100101 => 1011010
[7,4,6,1,8,5,2,3] => 1010110 => 0110101 => 1001010
[8,5,6,7,2,1,4,3] => 1001101 => 1011001 => 0100110
[2,5,6,3,8,4,7,1] => 0010101 => 1010100 => 0101011
[6,8,4,2,3,1,7,5] => 0110101 => 1010110 => 0101001
[1,7,6,2,8,3,5,4] => 0110101 => 1010110 => 0101001
[7,1,5,6,3,2,8,4] => 1001101 => 1011001 => 0100110
[4,1,3,8,5,2,7,6] => 1001101 => 1011001 => 0100110
[1,8,5,4,7,2,3,6] => 0110100 => 0010110 => 1101001
[8,2,5,6,4,3,1,7] => 1001110 => 0111001 => 1000110
[2,4,3,8,6,5,1,7] => 0101110 => 0111010 => 1000101
[3,1,4,5,8,6,2,7] => 1000110 => 0110001 => 1001110
[1,8,3,2,5,4,6,7] => 0110100 => 0010110 => 1101001
[5,1,7,3,2,8,4,6] => 1011010 => 0101101 => 1010010
[5,7,8,1,3,2,4,6] => 0010100 => 0010100 => 1101011
[8,2,4,1,6,7,3,5] => 1010010 => 0100101 => 1011010
[8,7,3,6,2,4,1,5] => 1101010 => 0101011 => 1010100
[1,7,4,8,3,6,2,5] => 0101010 => 0101010 => 1010101
[7,8,6,1,3,5,4,2] => 0110011 => 1100110 => 0011001
[1,7,5,8,4,3,2,6] => 0101110 => 0111010 => 1000101
[6,3,1,2,7,8,5,4] => 1100011 => 1100011 => 0011100
[8,2,7,5,3,4,1,6] => 1011010 => 0101101 => 1010010
[6,3,1,2,8,7,5,4] => 1100111 => 1110011 => 0001100
[8,4,7,2,6,3,1,5] => 1010110 => 0110101 => 1001010
[7,6,3,4,2,1,8,5] => 1101101 => 1011011 => 0100100
[8,4,6,2,3,7,1,5] => 1010010 => 0100101 => 1011010
[3,4,5,8,1,7,2,6] => 0001010 => 0101000 => 1010111
[6,3,4,2,7,8,1,5] => 1010010 => 0100101 => 1011010
[5,6,3,7,8,2,1,4] => 0100110 => 0110010 => 1001101
[8,6,3,4,7,2,1,5] => 1100110 => 0110011 => 1001100
[4,3,8,6,7,5,1,2] => 1010110 => 0110101 => 1001010
[4,5,6,2,7,8,3,1] => 0010011 => 1100100 => 0011011
[4,5,6,2,7,1,8,3] => 0010101 => 1010100 => 0101011
[4,5,6,2,1,7,8,3] => 0011001 => 1001100 => 0110011
[4,5,6,2,1,7,3,8] => 0011010 => 0101100 => 1010011
[6,8,7,2,3,1,4,5] => 0110100 => 0010110 => 1101001
[4,5,1,6,7,3,2,8] => 0100110 => 0110010 => 1001101
[2,5,1,8,3,7,4,6] => 0101010 => 0101010 => 1010101
[5,7,2,1,3,8,4,6] => 0110010 => 0100110 => 1011001
[3,7,5,4,1,6,8,2] => 0111001 => 1001110 => 0110001
[7,1,5,4,2,6,3,8] => 1011010 => 0101101 => 1010010
[8,5,6,3,7,2,1,4] => 1010110 => 0110101 => 1001010
[7,6,5,4,3,1,2,9,8] => 11111001 => 10011111 => 01100000
[9,8,7,6,5,4,3,2,1,11,10] => 1111111101 => 1011111111 => 0100000000
[8,7,6,5,4,3,1,2,10,9] => 111111001 => 100111111 => 011000000
[7,6,5,4,2,1,3,9,8] => 11111001 => 10011111 => 01100000
[7,6,5,4,1,3,2,9,8] => 11110101 => 10101111 => 01010000
[9,8,7,6,5,3,2,4,1] => 11111101 => 10111111 => 01000000
[9,8,7,6,5,2,4,3,1] => 11111011 => 11011111 => 00100000
[10,9,8,7,6,5,4,2,3,1] => 111111101 => 101111111 => 010000000
[2,7,4,5,6,8,1,3] => 0100010 => 0100010 => 1011101
[2,3,4,6,8,1,7,5] => 0000101 => 1010000 => 0101111
[2,3,4,8,6,7,9,5,1] => 00010011 => 11001000 => 00110111
[2,3,8,5,6,7,9,1,4] => 00100010 => 01000100 => 10111011
[2,8,4,5,6,7,9,3,1] => 01000011 => 11000010 => 00111101
[8,3,4,5,6,7,9,2,1] => 10000011 => 11000001 => 00111110
[2,3,4,5,7,9,1,8,6] => 00000101 => 10100000 => 01011111
[2,3,4,6,7,1,9,5,8] => 00001010 => 01010000 => 10101111
[2,3,4,5,9,7,8,10,6,1] => 000010011 => 110010000 => 001101111
[2,3,5,8,1,6,7,4] => 0001001 => 1001000 => 0110111
[2,3,5,6,1,7,9,4,8] => 00010010 => 01001000 => 10110111
[2,3,4,9,6,7,8,10,1,5] => 000100010 => 010001000 => 101110111
[2,4,5,1,6,7,9,8,3] => 00100011 => 11000100 => 00111011
[2,3,9,5,6,7,8,10,4,1] => 001000011 => 110000100 => 001111011
[2,4,7,5,6,8,1,3] => 0010010 => 0100100 => 1011011
[3,4,1,5,6,7,9,2,8] => 01000010 => 01000010 => 10111101
[2,9,4,5,6,7,8,10,3,1] => 010000011 => 110000010 => 001111101
[3,2,4,5,6,7,9,1,8] => 10000010 => 01000001 => 10111110
[9,3,4,5,6,7,8,10,1,2] => 100000010 => 010000001 => 101111110
[2,3,4,5,6,8,10,1,9,7] => 000000101 => 101000000 => 010111111
[2,3,4,5,6,7,10,9,11,8,1] => 0000001011 => 1101000000 => 0010111111
[2,3,4,7,6,9,8,5,1] => 00010111 => 11101000 => 00010111
[2,3,4,5,7,8,1,10,6,9] => 000001010 => 010100000 => 101011111
[2,3,4,5,6,10,8,9,11,7,1] => 0000010011 => 1100100000 => 0011011111
[2,3,4,6,9,1,7,8,5] => 00001001 => 10010000 => 01101111
[2,3,4,6,7,1,8,10,5,9] => 000010010 => 010010000 => 101101111
[2,3,4,5,10,7,8,9,11,1,6] => 0000100010 => 0100010000 => 1011101111
[7,3,4,6,2,8,1,5] => 1001010 => 0101001 => 1010110
[2,5,4,6,8,7,9,1,3] => 01001010 => 01010010 => 10101101
[2,3,5,7,1,6,9,4,8] => 00010010 => 01001000 => 10110111
[2,3,5,6,1,7,8,10,9,4] => 000100011 => 110001000 => 001110111
[2,3,4,10,6,7,8,9,11,5,1] => 0001000011 => 1100001000 => 0011110111
[4,7,6,5,2,8,3,1] => 0111011 => 1101110 => 0010001
[4,3,5,8,6,7,9,2,1] => 10010011 => 11001001 => 00110110
[2,5,4,8,6,7,3,1] => 0101011 => 1101010 => 0010101
[2,4,6,1,5,7,9,3,8] => 00100010 => 01000100 => 10111011
[2,4,5,1,6,7,8,10,3,9] => 001000010 => 010000100 => 101111011
[7,5,4,1,6,8,2,3] => 1110010 => 0100111 => 1011000
[2,4,8,5,6,7,9,1,3] => 00100010 => 01000100 => 10111011
[3,5,1,4,6,7,9,8,2] => 01000011 => 11000010 => 00111101
[3,4,1,5,6,7,8,10,2,9] => 010000010 => 010000010 => 101111101
[2,10,4,5,6,7,8,9,11,1,3] => 0100000010 => 0100000010 => 1011111101
[4,2,3,5,6,7,9,1,8] => 10000010 => 01000001 => 10111110
[3,2,4,5,6,7,8,10,9,1] => 100000011 => 110000001 => 001111110
[10,3,4,5,6,7,8,9,11,2,1] => 1000000011 => 1100000001 => 0011111110
[8,5,2,1,7,6,3,4] => 1110110 => 0110111 => 1001000
[2,7,3,6,4,1,8,5] => 0101101 => 1011010 => 0100101
[7,2,1,8,5,6,4,3] => 1101011 => 1101011 => 0010100
[3,6,5,1,4,8,2,7] => 0110010 => 0100110 => 1011001
[6,3,5,4,8,1,2,7] => 1010100 => 0010101 => 1101010
[2,5,1,4,6,3,8,7] => 0100101 => 1010010 => 0101101
[3,1,5,6,4,2,8,7] => 1001101 => 1011001 => 0100110
[8,5,6,4,3,1,7,2] => 1011101 => 1011101 => 0100010
[8,3,5,6,7,1,2,4] => 1000100 => 0010001 => 1101110
[2,1,4,7,3,6,8,5] => 1001001 => 1001001 => 0110110
[5,3,7,6,4,8,2,1] => 1011011 => 1101101 => 0010010
[3,7,6,4,2,8,1,5] => 0111010 => 0101110 => 1010001
[8,6,1,4,3,7,2,5] => 1101010 => 0101011 => 1010100
[8,4,7,5,1,6,3,2] => 1011011 => 1101101 => 0010010
[2,1,5,3,7,8,6,4] => 1010011 => 1100101 => 0011010
[5,1,4,7,6,8,2,3] => 1001010 => 0101001 => 1010110
[8,4,1,3,7,6,5,2] => 1100111 => 1110011 => 0001100
[8,3,4,1,6,7,5,2] => 1010011 => 1100101 => 0011010
[8,1,4,2,6,5,7,3] => 1010101 => 1010101 => 0101010
[8,6,4,3,7,2,1,5] => 1110110 => 0110111 => 1001000
[5,8,1,4,3,2,6,7] => 0101100 => 0011010 => 1100101
[5,6,4,3,8,2,7,1] => 0110101 => 1010110 => 0101001
[1,6,4,3,8,2,7,5] => 0110101 => 1010110 => 0101001
[6,7,4,1,3,2,5,8] => 0110100 => 0010110 => 1101001
[7,8,1,4,3,2,5,6] => 0101100 => 0011010 => 1100101
[7,1,8,4,5,3,6,2] => 1010101 => 1010101 => 0101010
[4,3,1,8,6,5,7,2] => 1101101 => 1011011 => 0100100
[4,3,2,7,5,1,8,6] => 1101101 => 1011011 => 0100100
[5,2,3,7,4,1,8,6] => 1001101 => 1011001 => 0100110
[2,1,7,4,3,6,8,5] => 1011001 => 1001101 => 0110010
[7,1,2,4,5,6,8,3] => 1000001 => 1000001 => 0111110
[2,8,7,1,4,5,6,3] => 0110001 => 1000110 => 0111001
[8,7,1,3,4,5,6,2] => 1100001 => 1000011 => 0111100
[5,8,3,1,4,6,7,2] => 0110001 => 1000110 => 0111001
[1,7,2,5,4,6,8,3] => 0101001 => 1001010 => 0110101
[2,5,3,8,1,6,7,4] => 0101001 => 1001010 => 0110101
[1,6,4,2,5,7,8,3] => 0110001 => 1000110 => 0111001
[6,5,3,4,1,7,8,2] => 1101001 => 1001011 => 0110100
[5,6,3,4,1,7,8,2] => 0101001 => 1001010 => 0110101
[2,5,3,1,4,7,8,6] => 0110001 => 1000110 => 0111001
[6,8,2,3,1,5,7,4] => 0101001 => 1001010 => 0110101
[4,3,1,5,2,7,8,6] => 1101001 => 1001011 => 0110100
[5,2,3,1,4,7,8,6] => 1010001 => 1000101 => 0111010
[7,2,1,3,5,6,8,4] => 1100001 => 1000011 => 0111100
[5,2,4,7,8,6,3,1] => 1000111 => 1110001 => 0001110
[5,4,8,7,2,3,1,6] => 1011010 => 0101101 => 1010010
[8,1,4,5,3,6,2,7] => 1001010 => 0101001 => 1010110
[8,3,5,1,4,6,2,7] => 1010010 => 0100101 => 1011010
[5,8,2,1,7,4,3,6] => 0110110 => 0110110 => 1001001
[6,5,7,2,1,8,4,3] => 1011011 => 1101101 => 0010010
[1,5,4,7,3,8,6,2] => 0101011 => 1101010 => 0010101
[7,4,1,3,8,5,6,2] => 1100101 => 1010011 => 0101100
[3,6,8,4,1,7,2,5] => 0011010 => 0101100 => 1010011
[2,1,8,4,7,6,3,5] => 1010110 => 0110101 => 1001010
[2,7,5,6,8,4,3,1] => 0100111 => 1110010 => 0001101
[3,5,2,4,7,8,6,1] => 0100011 => 1100010 => 0011101
[7,5,6,3,8,2,1,4] => 1010110 => 0110101 => 1001010
[1,6,2,7,4,5,8,3] => 0101001 => 1001010 => 0110101
[7,4,2,6,1,5,8,3] => 1101001 => 1001011 => 0110100
[8,4,1,6,2,5,7,3] => 1101001 => 1001011 => 0110100
[7,3,4,5,1,6,8,2] => 1001001 => 1001001 => 0110110
[1,3,2,5,4,7,6,9,8,11,10] => 0101010101 => 1010101010 => 0101010101
[1,4,2,6,3,7,5,9,8] => 01010101 => 10101010 => 01010101
[1,3,2,6,4,7,5,9,8] => 01010101 => 10101010 => 01010101
[2,1,6,3,7,4,8,5,9] => 10101010 => 01010101 => 10101010
[8,4,2,7,6,1,5,3] => 1101101 => 1011011 => 0100100
[8,4,7,1,2,6,5,3] => 1010011 => 1100101 => 0011010
[8,4,7,6,1,2,5,3] => 1011001 => 1001101 => 0110010
[8,7,6,2,1,5,3,4] => 1111010 => 0101111 => 1010000
[5,7,8,1,6,2,4,3] => 0010101 => 1010100 => 0101011
[7,9,6,8,4,5,2,3,1] => 01010101 => 10101010 => 01010101
[7,9,5,8,4,6,2,3,1] => 01010101 => 10101010 => 01010101
[7,9,5,8,3,6,2,4,1] => 01010101 => 10101010 => 01010101
[6,8,4,7,5,2,1,3] => 0101110 => 0111010 => 1000101
[7,9,5,8,3,6,4,1,2] => 01010110 => 01101010 => 10010101
[7,9,5,8,6,3,4,1,2] => 01011010 => 01011010 => 10100101
[7,9,8,5,6,3,4,1,2] => 01101010 => 01010110 => 10101001
[6,9,5,8,4,7,2,3,1] => 01010101 => 10101010 => 01010101
[7,9,4,8,3,6,2,5,1] => 01010101 => 10101010 => 01010101
[7,9,5,8,2,6,1,4,3] => 01010101 => 10101010 => 01010101
[6,8,2,7,1,5,4,3] => 0101011 => 1101010 => 0010101
[7,9,5,8,3,6,4,2,1] => 01010111 => 11101010 => 00010101
[8,10,6,9,4,7,2,5,3,1] => 010101011 => 110101010 => 001010101
[6,8,7,4,2,5,1,3] => 0111010 => 0101110 => 1010001
[7,9,5,8,6,3,1,4,2] => 01011101 => 10111010 => 01000101
[8,10,6,9,4,7,5,2,3,1] => 010101101 => 101101010 => 010010101
[7,9,8,5,3,6,4,1,2] => 01110110 => 01101110 => 10010001
[8,10,6,9,7,4,5,2,3,1] => 010110101 => 101011010 => 010100101
[9,7,5,8,6,3,4,1,2] => 11011010 => 01011011 => 10100100
[8,10,9,6,7,4,5,2,3,1] => 011010101 => 101010110 => 010101001
[6,8,4,5,7,2,1,3] => 0100110 => 0110010 => 1001101
[6,8,4,2,5,1,3,7] => 0110100 => 0010110 => 1101001
[6,5,4,3,2,7,1,8,9] => 11110100 => 00101111 => 11010000
[5,4,3,2,6,1,7,8,9] => 11101000 => 00010111 => 11101000
[4,3,2,5,1,6,7,8,9] => 11010000 => 00001011 => 11110100
[3,2,4,1,5,6,7,8,9] => 10100000 => 00000101 => 11111010
[2,5,3,7,6,4,8,1] => 0101101 => 1011010 => 0100101
[3,1,5,7,6,4,2,8] => 1001110 => 0111001 => 1000110
[3,1,6,5,4,7,2,8] => 1011010 => 0101101 => 1010010
[2,5,6,8,3,4,7,1] => 0001001 => 1001000 => 0110111
[4,1,3,6,5,2,7,8] => 1001100 => 0011001 => 1100110
[3,6,2,4,5,7,1,8] => 0100010 => 0100010 => 1011101
[3,6,2,5,4,7,1,8] => 0101010 => 0101010 => 1010101
[3,5,1,7,6,4,2,8] => 0101110 => 0111010 => 1000101
[3,6,1,4,5,7,2,8] => 0100010 => 0100010 => 1011101
[4,3,1,6,5,2,7,8] => 1101100 => 0011011 => 1100100
[4,1,2,6,5,3,7,8] => 1001100 => 0011001 => 1100110
[4,6,1,3,5,2,7,8] => 0100100 => 0010010 => 1101101
[3,6,4,2,5,7,1,8] => 0110010 => 0100110 => 1011001
[4,2,6,3,5,1,7,8] => 1010100 => 0010101 => 1101010
[3,4,7,6,5,1,2,8] => 0011100 => 0011100 => 1100011
[4,5,2,7,1,3,6,8] => 0101000 => 0001010 => 1110101
[4,6,1,2,5,3,7,8] => 0100100 => 0010010 => 1101101
[2,6,5,1,4,8,7,3] => 0110011 => 1100110 => 0011001
[5,8,4,7,1,3,6,2] => 0101001 => 1001010 => 0110101
[6,4,7,1,3,5,2,8] => 1010010 => 0100101 => 1011010
[6,8,1,3,5,7,4,2] => 0100011 => 1100010 => 0011101
[5,8,3,2,7,4,6,1] => 0110101 => 1010110 => 0101001
[6,8,3,1,5,4,7,2] => 0110101 => 1010110 => 0101001
[6,8,1,2,5,3,7,4] => 0100101 => 1010010 => 0101101
[5,2,8,3,4,6,7,1] => 1010001 => 1000101 => 0111010
[5,2,7,1,6,4,8,3] => 1010101 => 1010101 => 0101010
[4,5,2,6,1,3,7,8] => 0101000 => 0001010 => 1110101
[4,3,5,8,6,1,7,2] => 1001101 => 1011001 => 0100110
[5,1,3,6,7,4,2,8] => 1000110 => 0110001 => 1001110
[4,2,8,3,6,7,5,1] => 1010011 => 1100101 => 0011010
[3,1,7,8,5,6,2,4] => 1001010 => 0101001 => 1010110
[6,2,1,7,5,3,4,8] => 1101100 => 0011011 => 1100100
[3,7,1,8,5,2,4,6] => 0101100 => 0011010 => 1100101
[4,2,8,6,7,1,3,5] => 1010100 => 0010101 => 1101010
[6,1,2,4,7,3,5,8] => 1000100 => 0010001 => 1101110
[5,3,1,6,4,7,2,8] => 1101010 => 0101011 => 1010100
[1,2,4,5,8,7,3,6] => 0000110 => 0110000 => 1001111
[1,3,4,7,5,8,6,2] => 0001011 => 1101000 => 0010111
[1,5,2,3,7,8,6,4] => 0100011 => 1100010 => 0011101
[4,2,8,1,6,5,7,3] => 1010101 => 1010101 => 0101010
[1,3,5,2,7,4,6,9,8] => 00101001 => 10010100 => 01101011
[1,2,4,3,6,5,8,7,9] => 00101010 => 01010100 => 10101011
[1,3,5,7,2,4,6,9,8] => 00010001 => 10001000 => 01110111
[1,3,5,7,2,4,6,9,8,10] => 000100010 => 010001000 => 101110111
[1,3,5,7,2,9,4,6,8] => 00010100 => 00101000 => 11010111
[5,6,1,4,8,3,2,7] => 0100110 => 0110010 => 1001101
[3,6,4,1,7,2,8,5] => 0110101 => 1010110 => 0101001
[5,6,2,1,3,7,4,8,9] => 01100100 => 00100110 => 11011001
[3,2,5,1,6,4,7,8,9] => 10101000 => 00010101 => 11101010
[6,7,2,1,8,3,4,9,5] => 01101001 => 10010110 => 01101001
[3,6,4,1,7,2,8,5,9] => 01101010 => 01010110 => 10101001
[3,6,7,2,1,4,8,5,9] => 00110010 => 01001100 => 10110011
[4,2,6,1,7,5,3,8,9] => 10101100 => 00110101 => 11001010
[4,3,2,6,1,7,5,8,9] => 11010100 => 00101011 => 11010100
[4,7,2,5,1,8,3,9,6] => 01010101 => 10101010 => 01010101
[4,3,7,8,2,1,5,9,6] => 10011001 => 10011001 => 01100110
[3,5,2,7,1,8,6,4,9] => 01010110 => 01101010 => 10010101
[5,4,3,2,7,1,8,6,9] => 11101010 => 01010111 => 10101000
[6,4,2,8,1,9,7,5,3] => 11010111 => 11101011 => 00010100
[4,3,6,2,8,1,9,7,5] => 10101011 => 11010101 => 00101010
[6,5,4,3,2,8,1,9,7] => 11110101 => 10101111 => 01010000
[2,4,1,5,3,6,7,8,9,10] => 010100000 => 000001010 => 111110101
[5,6,2,1,3,7,4,8,9,10] => 011001000 => 000100110 => 111011001
[3,2,5,1,6,4,7,8,9,10] => 101010000 => 000010101 => 111101010
[6,7,2,1,8,3,4,9,5,10] => 011010010 => 010010110 => 101101001
[3,6,4,1,7,2,8,5,9,10] => 011010100 => 001010110 => 110101001
[3,6,7,2,1,4,8,5,9,10] => 001100100 => 001001100 => 110110011
[4,2,6,1,7,5,3,8,9,10] => 101011000 => 000110101 => 111001010
[4,3,2,6,1,7,5,8,9,10] => 110101000 => 000101011 => 111010100
[3,4,7,1,8,2,9,5,10,6] => 001010101 => 101010100 => 010101011
[7,8,9,3,2,1,4,5,10,6] => 001110001 => 100011100 => 011100011
[4,7,2,5,1,8,3,9,6,10] => 010101010 => 010101010 => 101010101
[4,3,7,8,2,1,5,9,6,10] => 100110010 => 010011001 => 101100110
[3,5,2,7,1,8,6,4,9,10] => 010101100 => 001101010 => 110010101
[5,4,3,2,7,1,8,6,9,10] => 111010100 => 001010111 => 110101000
[5,8,9,2,1,6,3,10,7,4] => 001101011 => 110101100 => 001010011
[5,3,8,6,4,1,9,2,10,7] => 101110101 => 101011101 => 010100010
[3,5,8,2,6,1,9,4,10,7] => 001010101 => 101010100 => 010101011
[5,4,3,8,9,2,1,6,10,7] => 110011001 => 100110011 => 011001100
[6,4,2,8,1,9,7,5,3,10] => 110101110 => 011101011 => 100010100
[4,3,6,2,8,1,9,7,5,10] => 101010110 => 011010101 => 100101010
[6,5,4,3,2,8,1,9,7,10] => 111101010 => 010101111 => 101010000
[5,3,7,2,9,1,10,8,6,4] => 101010111 => 111010101 => 000101010
[5,4,3,7,2,9,1,10,8,6] => 110101011 => 110101011 => 001010100
[7,6,5,4,3,2,9,1,10,8] => 111110101 => 101011111 => 010100000
[5,2,6,3,7,8,4,1] => 1010011 => 1100101 => 0011010
[2,4,1,3,7,8,6,5] => 0100011 => 1100010 => 0011101
[2,6,1,5,7,8,4,3] => 0100011 => 1100010 => 0011101
[5,1,6,4,7,8,2,3] => 1010010 => 0100101 => 1011010
[8,4,6,3,7,5,1,2] => 1010110 => 0110101 => 1001010
[4,7,6,8,2,3,5,1] => 0101001 => 1001010 => 0110101
[5,7,4,8,1,2,6,3] => 0101001 => 1001010 => 0110101
[3,6,7,5,8,1,4,2] => 0010101 => 1010100 => 0101011
[3,7,5,6,8,2,4,1] => 0100101 => 1010010 => 0101101
[2,7,1,6,8,4,5,3] => 0100101 => 1010010 => 0101101
[1,5,4,7,2,6,3,8] => 0101010 => 0101010 => 1010101
[2,4,5,8,3,1,7,6] => 0001101 => 1011000 => 0100111
[1,4,7,5,8,3,6,2] => 0010101 => 1010100 => 0101011
[2,6,8,7,3,5,1,4] => 0011010 => 0101100 => 1010011
[4,7,8,6,2,5,1,3] => 0011010 => 0101100 => 1010011
[4,8,7,3,5,6,2,1] => 0110011 => 1100110 => 0011001
[1,7,6,3,5,4,2,8] => 0110110 => 0110110 => 1001001
[4,3,8,1,6,5,7,2] => 1010101 => 1010101 => 0101010
[1,3,6,2,5,8,7,4] => 0010011 => 1100100 => 0011011
[5,8,7,1,4,6,3,2] => 0110011 => 1100110 => 0011001
[6,2,5,1,3,4,8,7] => 1010001 => 1000101 => 0111010
[2,6,5,1,3,4,8,7] => 0110001 => 1000110 => 0111001
[4,6,5,1,2,7,3,8] => 0110010 => 0100110 => 1011001
[5,6,4,1,2,7,3,8] => 0110010 => 0100110 => 1011001
[8,1,5,6,2,4,3,7] => 1001010 => 0101001 => 1010110
[6,4,5,1,2,7,3,8] => 1010010 => 0100101 => 1011010
[5,4,6,1,3,2,7,8] => 1010100 => 0010101 => 1101010
[5,7,1,4,3,2,6,8] => 0101100 => 0011010 => 1100101
[2,6,4,1,3,7,5,8] => 0110010 => 0100110 => 1011001
[7,8,5,3,2,1,6,4] => 0111101 => 1011110 => 0100001
[1,2,6,7,8,4,5,3] => 0000101 => 1010000 => 0101111
[6,1,4,8,2,7,5,3] => 1001011 => 1101001 => 0010110
[5,2,3,7,1,8,4,6] => 1001010 => 0101001 => 1010110
[7,2,3,1,8,4,6,5] => 1010101 => 1010101 => 0101010
[5,4,1,7,3,2,8,6] => 1101101 => 1011011 => 0100100
[7,3,4,5,1,8,6,2] => 1001011 => 1101001 => 0010110
[1,5,6,7,4,8,2,3] => 0001010 => 0101000 => 1010111
[6,3,2,5,7,4,8,1] => 1100101 => 1010011 => 0101100
[5,7,3,8,1,2,4,6] => 0101000 => 0001010 => 1110101
[4,5,2,7,6,3,1,8] => 0101110 => 0111010 => 1000101
[4,5,2,1,7,6,3,8] => 0110110 => 0110110 => 1001001
[2,6,7,8,3,1,4,5] => 0001100 => 0011000 => 1100111
[6,3,2,5,1,7,8,4] => 1101001 => 1001011 => 0110100
[4,6,3,7,8,2,1,5] => 0100110 => 0110010 => 1001101
[5,6,7,1,8,4,2,3] => 0010110 => 0110100 => 1001011
[1,7,8,4,6,5,2,3] => 0010110 => 0110100 => 1001011
[1,7,3,2,8,6,5,4] => 0110111 => 1110110 => 0001001
[3,7,1,2,8,6,5,4] => 0100111 => 1110010 => 0001101
[2,7,8,1,6,5,3,4] => 0010110 => 0110100 => 1001011
[2,5,8,1,7,6,3,4] => 0010110 => 0110100 => 1001011
[8,1,5,7,3,4,6,2] => 1001001 => 1001001 => 0110110
[5,8,2,7,6,3,1,4] => 0101110 => 0111010 => 1000101
[2,8,4,7,6,3,1,5] => 0101110 => 0111010 => 1000101
[1,8,2,4,7,6,3,5] => 0100110 => 0110010 => 1001101
[4,5,8,7,1,6,2,3] => 0011010 => 0101100 => 1010011
[1,8,2,4,6,7,5,3] => 0100011 => 1100010 => 0011101
[3,4,2,8,1,7,6,5] => 0101011 => 1101010 => 0010101
[2,4,5,8,1,7,6,3] => 0001011 => 1101000 => 0010111
[3,1,8,2,6,7,5,4] => 1010011 => 1100101 => 0011010
[2,6,8,1,4,3,7,5] => 0010101 => 1010100 => 0101011
[4,1,8,2,6,7,3,5] => 1010010 => 0100101 => 1011010
[1,6,5,2,8,7,3,4] => 0110110 => 0110110 => 1001001
[8,1,7,3,5,2,4,6] => 1010100 => 0010101 => 1101010
[8,1,3,2,7,6,4,5] => 1010110 => 0110101 => 1001010
[7,3,4,8,6,2,5,1] => 1001101 => 1011001 => 0100110
[7,5,8,1,6,2,3,4] => 1010100 => 0010101 => 1101010
[6,8,4,5,3,1,7,2] => 0101101 => 1011010 => 0100101
[6,7,5,3,2,8,4,1] => 0111011 => 1101110 => 0010001
[6,2,5,3,8,1,4,7] => 1010100 => 0010101 => 1101010
[7,6,1,3,5,2,4,8] => 1100100 => 0010011 => 1101100
[6,2,4,5,3,8,1,7] => 1001010 => 0101001 => 1010110
[6,1,5,4,7,2,3,8] => 1010100 => 0010101 => 1101010
[6,8,5,4,7,1,3,2] => 0110101 => 1010110 => 0101001
[1,6,8,4,2,5,7,3] => 0011001 => 1001100 => 0110011
[7,5,8,1,3,4,2,6] => 1010010 => 0100101 => 1011010
[1,4,2,8,3,5,7,6] => 0101001 => 1001010 => 0110101
[1,3,5,4,8,7,2,6] => 0010110 => 0110100 => 1001011
[1,6,2,4,8,3,7,5] => 0100101 => 1010010 => 0101101
[1,7,8,5,4,2,6,3] => 0011101 => 1011100 => 0100011
[1,5,2,8,6,4,7,3] => 0101101 => 1011010 => 0100101
[1,6,5,2,7,4,8,3] => 0110101 => 1010110 => 0101001
[5,1,6,7,4,2,8,3] => 1001101 => 1011001 => 0100110
[6,8,1,5,2,3,7,4] => 0101001 => 1001010 => 0110101
[1,5,4,2,8,6,7,3] => 0110101 => 1010110 => 0101001
[1,8,5,4,6,2,7,3] => 0110101 => 1010110 => 0101001
[1,7,5,4,6,2,8,3] => 0110101 => 1010110 => 0101001
[5,8,4,1,6,2,7,3] => 0110101 => 1010110 => 0101001
[4,8,1,3,7,6,2,5] => 0100110 => 0110010 => 1001101
[4,5,3,1,2,8,7,6] => 0110011 => 1100110 => 0011001
[6,4,2,3,1,8,7,5] => 1101011 => 1101011 => 0010100
[6,5,2,1,3,8,7,4] => 1110011 => 1100111 => 0011000
[7,6,1,8,2,5,3,4] => 1101010 => 0101011 => 1010100
[8,4,2,3,7,6,1,5] => 1100110 => 0110011 => 1001100
[5,7,8,1,2,4,3,6] => 0010010 => 0100100 => 1011011
[1,7,6,8,3,5,4,2] => 0101011 => 1101010 => 0010101
[5,7,6,4,2,1,3,8] => 0111100 => 0011110 => 1100001
[6,5,7,4,1,3,2,8] => 1011010 => 0101101 => 1010010
[4,6,1,8,3,5,2,7] => 0101010 => 0101010 => 1010101
[7,1,6,8,2,5,4,3] => 1001011 => 1101001 => 0010110
[4,7,1,8,3,2,5,6] => 0101100 => 0011010 => 1100101
[4,8,3,6,1,5,2,7] => 0101010 => 0101010 => 1010101
[1,7,8,6,4,5,3,2] => 0011011 => 1101100 => 0010011
[3,2,8,6,4,5,1,7] => 1011010 => 0101101 => 1010010
[8,4,3,6,2,5,1,7] => 1101010 => 0101011 => 1010100
[1,6,8,7,4,3,5,2] => 0011101 => 1011100 => 0100011
[3,1,2,6,8,7,5,4] => 1000111 => 1110001 => 0001110
[5,7,4,2,1,8,6,3] => 0111011 => 1101110 => 0010001
[8,6,5,7,2,4,3,1] => 1101011 => 1101011 => 0010100
[7,4,6,1,8,5,3,2] => 1010111 => 1110101 => 0001010
[7,4,6,3,8,1,5,2] => 1010101 => 1010101 => 0101010
[7,4,8,1,6,3,2,5] => 1010110 => 0110101 => 1001010
[7,4,8,3,6,2,1,5] => 1010110 => 0110101 => 1001010
[6,4,8,2,3,5,7,1] => 1010001 => 1000101 => 0111010
[4,6,8,2,5,7,1,3] => 0010010 => 0100100 => 1011011
[6,4,8,2,5,7,1,3] => 1010010 => 0100101 => 1011010
[6,2,4,5,8,3,7,1] => 1000101 => 1010001 => 0101110
[6,8,2,4,7,3,5,1] => 0100101 => 1010010 => 0101101
[8,4,6,2,7,1,3,5] => 1010100 => 0010101 => 1101010
[6,8,4,2,7,1,3,5] => 0110100 => 0010110 => 1101001
[6,8,2,4,1,7,3,5] => 0101010 => 0101010 => 1010101
[7,5,1,6,2,4,8,3] => 1101001 => 1001011 => 0110100
[4,2,5,7,1,6,8,3] => 1001001 => 1001001 => 0110110
[2,4,8,5,6,7,3,1] => 0010011 => 1100100 => 0011011
[4,5,2,3,8,7,1,6] => 0100110 => 0110010 => 1001101
[2,5,4,7,6,1,3,8] => 0101100 => 0011010 => 1100101
[5,2,3,7,6,1,4,8] => 1001100 => 0011001 => 1100110
[4,2,3,7,6,1,5,8] => 1001100 => 0011001 => 1100110
[4,2,7,3,5,1,6,8] => 1010100 => 0010101 => 1101010
[5,6,2,3,8,4,7,1] => 0100101 => 1010010 => 0101101
[5,6,2,3,1,7,8,4] => 0101001 => 1001010 => 0110101
[5,7,2,3,4,1,6,8] => 0100100 => 0010010 => 1101101
[6,2,7,3,5,1,4,8] => 1010100 => 0010101 => 1101010
[7,2,6,3,5,1,4,8] => 1010100 => 0010101 => 1101010
[6,5,2,3,1,7,8,4] => 1101001 => 1001011 => 0110100
[6,5,2,3,8,4,7,1] => 1100101 => 1010011 => 0101100
[7,5,2,1,4,6,8,3] => 1110001 => 1000111 => 0111000
[8,5,2,3,1,6,4,7] => 1101010 => 0101011 => 1010100
[8,6,2,3,1,5,4,7] => 1101010 => 0101011 => 1010100
[8,2,6,3,1,7,4,5] => 1011010 => 0101101 => 1010010
[1,6,3,4,2,7,5,8] => 0101010 => 0101010 => 1010101
[8,5,2,7,3,4,6,1] => 1101001 => 1001011 => 0110100
[1,7,2,4,5,6,8,3] => 0100001 => 1000010 => 0111101
[1,8,3,2,5,6,4,7] => 0110010 => 0100110 => 1011001
[7,2,8,1,4,6,3,5] => 1010010 => 0100101 => 1011010
[2,7,8,1,5,6,3,4] => 0010010 => 0100100 => 1011011
[6,8,2,3,1,5,4,7] => 0101010 => 0101010 => 1010101
[5,8,2,3,1,6,4,7] => 0101010 => 0101010 => 1010101
[5,7,2,1,4,6,8,3] => 0110001 => 1000110 => 0111001
[4,2,7,1,5,6,8,3] => 1010001 => 1000101 => 0111010
[4,2,3,8,1,7,5,6] => 1001010 => 0101001 => 1010110
[4,2,1,5,3,7,6,8] => 1101010 => 0101011 => 1010100
[5,1,3,8,4,6,7,2] => 1001001 => 1001001 => 0110110
[5,1,3,2,6,7,8,4] => 1010001 => 1000101 => 0111010
[5,1,3,4,2,7,6,8] => 1001010 => 0101001 => 1010110
[6,1,3,4,2,7,5,8] => 1001010 => 0101001 => 1010110
[7,2,1,3,5,8,4,6] => 1100010 => 0100011 => 1011100
[6,8,7,2,3,4,5,1] => 0110001 => 1000110 => 0111001
[10,9,11,8,7,6,5,4,3,2,1] => 1011111111 => 1111111101 => 0000000010
[1,9,8,10,7,6,5,4,3,2] => 010111111 => 111111010 => 000000101
[2,8,7,9,6,5,4,3,1] => 01011111 => 11111010 => 00000101
[3,7,2,8,1,4,5,6] => 0101000 => 0001010 => 1110101
[5,2,3,7,4,6,1,8] => 1001010 => 0101001 => 1010110
[2,5,3,7,4,6,1,8] => 0101010 => 0101010 => 1010101
[2,6,7,3,4,5,1,8] => 0010010 => 0100100 => 1011011
[6,2,7,3,4,5,1,8] => 1010010 => 0100101 => 1011010
[3,8,4,5,2,1,6,7] => 0101100 => 0011010 => 1100101
[2,7,6,3,4,5,1,8] => 0110010 => 0100110 => 1011001
[2,8,7,5,1,3,4,6] => 0111000 => 0001110 => 1110001
[3,1,2,9,4,5,6,7,8] => 10010000 => 00001001 => 11110110
[4,1,2,3,9,5,6,7,8] => 10001000 => 00010001 => 11101110
[5,1,2,3,4,9,6,7,8] => 10000100 => 00100001 => 11011110
[6,1,2,3,4,5,9,7,8] => 10000010 => 01000001 => 10111110
[2,1,10,3,4,5,6,7,8,9] => 101000000 => 000000101 => 111111010
[3,1,2,10,4,5,6,7,8,9] => 100100000 => 000001001 => 111110110
[3,4,1,2,9,5,6,7,8] => 01001000 => 00010010 => 11101101
[4,1,2,3,10,5,6,7,8,9] => 100010000 => 000010001 => 111101110
[4,5,1,2,3,9,6,7,8] => 01000100 => 00100010 => 11011101
[5,1,2,3,4,10,6,7,8,9] => 100001000 => 000100001 => 111011110
[5,6,1,2,3,4,9,7,8] => 01000010 => 01000010 => 10111101
[6,1,2,3,4,5,10,7,8,9] => 100000100 => 001000001 => 110111110
[6,7,1,2,3,4,5,9,8] => 01000001 => 10000010 => 01111101
[7,1,2,3,4,5,6,10,8,9] => 100000010 => 010000001 => 101111110
[4,5,7,2,8,3,6,1] => 0010101 => 1010100 => 0101011
[9,7,5,3,1,8,6,4,2] => 11110111 => 11101111 => 00010000
[9,6,3,8,5,2,7,4,1] => 11011011 => 11011011 => 00100100
[8,5,2,9,6,3,7,4,1] => 11011011 => 11011011 => 00100100
[9,5,1,6,2,7,3,8,4] => 11010101 => 10101011 => 01010100
[9,5,1,8,4,7,3,6,2] => 11010101 => 10101011 => 01010100
[8,4,7,3,6,2,9,5,1] => 10101011 => 11010101 => 00101010
[7,3,8,4,6,2,9,5,1] => 10101011 => 11010101 => 00101010
[9,4,7,2,5,8,3,6,1] => 10100101 => 10100101 => 01011010
[9,4,6,1,8,3,5,7,2] => 10101001 => 10010101 => 01101010
[8,3,5,7,2,9,4,6,1] => 10010101 => 10101001 => 01010110
[7,2,8,3,9,4,5,6,1] => 10101001 => 10010101 => 01101010
[8,3,7,2,9,4,5,6,1] => 10101001 => 10010101 => 01101010
[5,8,3,7,2,9,4,6,1] => 01010101 => 10101010 => 01010101
[4,5,6,9,3,8,2,7,1] => 00010101 => 10101000 => 01010111
[4,5,6,8,2,9,3,7,1] => 00010101 => 10101000 => 01010111
[9,3,6,5,4,7,1,8,2] => 10110101 => 10101101 => 01010010
[8,2,9,3,6,5,4,7,1] => 10101101 => 10110101 => 01001010
[6,5,4,8,2,9,3,7,1] => 11010101 => 10101011 => 01010100
[5,6,4,8,2,9,3,7,1] => 01010101 => 10101010 => 01010101
[9,2,7,4,5,6,3,8,1] => 10100101 => 10100101 => 01011010
[7,4,5,6,3,9,2,8,1] => 10010101 => 10101001 => 01010110
[5,7,4,6,3,9,2,8,1] => 01010101 => 10101010 => 01010101
[10,8,6,4,2,9,7,5,3,1] => 111101111 => 111101111 => 000010000
[10,7,4,1,8,5,2,9,6,3] => 111011011 => 110110111 => 001001000
[9,6,3,8,5,2,10,7,4,1] => 110110111 => 111011011 => 000100100
[9,5,1,7,3,10,6,2,8,4] => 110101101 => 101101011 => 010010100
[10,6,2,7,3,8,4,9,5,1] => 110101011 => 110101011 => 001010100
[7,3,8,4,10,6,2,9,5,1] => 101011011 => 110110101 => 001001010
[8,4,7,3,10,6,2,9,5,1] => 101011011 => 110110101 => 001001010
[10,5,8,3,6,1,9,4,7,2] => 101010101 => 101010101 => 010101010
[9,4,7,2,10,5,8,3,6,1] => 101010101 => 101010101 => 010101010
[10,5,7,2,8,3,9,4,6,1] => 101010101 => 101010101 => 010101010
[8,3,10,5,7,2,9,4,6,1] => 101010101 => 101010101 => 010101010
[8,3,9,4,7,2,10,5,6,1] => 101010101 => 101010101 => 010101010
[9,3,5,7,1,10,4,6,8,2] => 100101001 => 100101001 => 011010110
[10,4,6,8,2,9,3,5,7,1] => 100101001 => 100101001 => 011010110
[10,4,5,6,7,1,8,2,9,3] => 100010101 => 101010001 => 010101110
[8,2,9,3,10,4,5,6,7,1] => 101010001 => 100010101 => 011101010
[9,3,8,2,10,4,5,6,7,1] => 101010001 => 100010101 => 011101010
[5,6,9,3,7,1,10,4,8,2] => 001010101 => 101010100 => 010101011
[5,6,10,4,8,2,9,3,7,1] => 001010101 => 101010100 => 010101011
[5,6,9,3,8,2,10,4,7,1] => 001010101 => 101010100 => 010101011
[6,5,9,3,8,2,10,4,7,1] => 101010101 => 101010101 => 010101010
[9,2,7,6,5,4,10,3,8,1] => 101110101 => 101011101 => 010100010
[10,3,7,6,5,4,8,1,9,2] => 101110101 => 101011101 => 010100010
[9,2,10,3,7,6,5,4,8,1] => 101011101 => 101110101 => 010001010
[7,6,5,4,9,2,10,3,8,1] => 111010101 => 101010111 => 010101000
[6,4,7,5,10,3,9,2,8,1] => 101010101 => 101010101 => 010101010
[6,4,7,5,9,2,10,3,8,1] => 101010101 => 101010101 => 010101010
[7,5,6,4,9,2,10,3,8,1] => 101010101 => 101010101 => 010101010
[6,5,7,4,9,2,10,3,8,1] => 101010101 => 101010101 => 010101010
[5,6,7,3,8,4,9,1,10,2] => 001010101 => 101010100 => 010101011
[5,6,7,3,8,4,10,2,9,1] => 001010101 => 101010100 => 010101011
[5,6,8,4,7,3,10,2,9,1] => 001010101 => 101010100 => 010101011
[6,5,8,4,7,3,10,2,9,1] => 101010101 => 101010101 => 010101010
[5,2,1,3,6,7,8,4] => 1100001 => 1000011 => 0111100
[1,6,5,7,2,8,3,4] => 0101010 => 0101010 => 1010101
[7,5,2,6,1,8,4,3] => 1101011 => 1101011 => 0010100
[6,1,5,2,7,8,4,3] => 1010011 => 1100101 => 0011010
[1,6,5,7,2,8,4,3] => 0101011 => 1101010 => 0010101
[1,5,4,6,2,8,7,3] => 0101011 => 1101010 => 0010101
[1,5,4,6,2,8,3,7] => 0101010 => 0101010 => 1010101
[1,5,6,4,8,2,3,7] => 0010100 => 0010100 => 1101011
[6,2,1,5,8,4,7,3] => 1100101 => 1010011 => 0101100
[7,5,6,8,4,1,3,2] => 1001101 => 1011001 => 0100110
[8,3,7,5,1,4,2,6] => 1011010 => 0101101 => 1010010
[8,1,5,7,3,6,2,4] => 1001010 => 0101001 => 1010110
[8,3,2,6,4,5,1,7] => 1101010 => 0101011 => 1010100
[8,5,3,7,4,1,2,6] => 1101100 => 0011011 => 1100100
[8,5,6,2,7,1,3,4] => 1010100 => 0010101 => 1101010
[8,4,7,2,6,5,1,3] => 1010110 => 0110101 => 1001010
[8,5,7,3,2,6,1,4] => 1011010 => 0101101 => 1010010
[8,1,2,3,6,4,7,5] => 1000101 => 1010001 => 0101110
[7,6,2,3,5,8,1,4] => 1100010 => 0100011 => 1011100
[4,5,3,7,8,1,6,2] => 0100101 => 1010010 => 0101101
[3,4,2,8,1,6,7,5] => 0101001 => 1001010 => 0110101
[8,3,4,1,5,7,6,2] => 1010011 => 1100101 => 0011010
[4,3,7,5,1,6,2,8] => 1011010 => 0101101 => 1010010
[5,2,6,1,4,3,7,8] => 1010100 => 0010101 => 1101010
[5,3,7,4,2,8,6,1] => 1011011 => 1101101 => 0010010
[7,2,5,8,6,1,4,3] => 1001101 => 1011001 => 0100110
[5,3,1,4,6,7,8,2] => 1100001 => 1000011 => 0111100
[4,6,2,1,3,7,8,5] => 0110001 => 1000110 => 0111001
[2,5,4,1,3,6,7,8] => 0110000 => 0000110 => 1111001
[6,5,2,7,4,1,3,8] => 1101100 => 0011011 => 1100100
[4,2,5,6,7,8,9,1,3] => 10000010 => 01000001 => 10111110
[3,1,6,7,8,4,5,2] => 1000101 => 1010001 => 0101110
[7,4,5,6,2,1,8,3] => 1001101 => 1011001 => 0100110
[4,2,5,6,7,8,9,10,1,3] => 100000010 => 010000001 => 101111110
[3,4,5,6,7,8,9,10,1,11,2] => 0000000101 => 1010000000 => 0101111111
[3,7,5,6,2,1,8,4] => 0101101 => 1011010 => 0100101
[1,7,6,3,8,4,5,2] => 0110101 => 1010110 => 0101001
[6,4,1,2,7,8,3,5] => 1100010 => 0100011 => 1011100
[6,4,1,3,5,2,7,8] => 1100100 => 0010011 => 1101100
[5,1,8,3,4,6,2,7] => 1010010 => 0100101 => 1011010
[4,5,8,2,3,7,1,6] => 0010010 => 0100100 => 1011011
[7,3,4,8,2,5,1,6] => 1001010 => 0101001 => 1010110
[4,7,2,5,1,6,8,3] => 0101001 => 1001010 => 0110101
[6,3,1,7,4,2,5,8] => 1101100 => 0011011 => 1100100
[8,7,2,1,5,3,6,4] => 1110101 => 1010111 => 0101000
[7,2,8,1,5,6,4,3] => 1010011 => 1100101 => 0011010
[5,6,4,2,1,8,3,7] => 0111010 => 0101110 => 1010001
[5,7,3,6,4,1,2,8] => 0101100 => 0011010 => 1100101
[2,4,3,5,8,1,6,7] => 0100100 => 0010010 => 1101101
[2,6,5,3,8,1,4,7] => 0110100 => 0010110 => 1101001
[6,1,2,4,3,5,7,8] => 1001000 => 0001001 => 1110110
[6,5,8,2,7,3,4,1] => 1010101 => 1010101 => 0101010
[1,7,6,8,4,3,2,5] => 0101110 => 0111010 => 1000101
[1,7,6,5,3,8,2,4] => 0111010 => 0101110 => 1010001
[6,1,2,4,3,5,8,7] => 1001001 => 1001001 => 0110110
[4,6,1,3,7,8,5,2] => 0100011 => 1100010 => 0011101
[8,4,1,5,2,6,7,3] => 1101001 => 1001011 => 0110100
[1,5,6,3,8,7,2,4] => 0010110 => 0110100 => 1001011
[5,3,2,6,8,7,1,4] => 1100110 => 0110011 => 1001100
[6,3,5,2,7,1,4,8] => 1010100 => 0010101 => 1101010
[8,5,2,6,7,1,4,3] => 1100101 => 1010011 => 0101100
[5,3,8,7,1,4,2,6] => 1011010 => 0101101 => 1010010
[6,4,5,3,1,8,7,2] => 1011011 => 1101101 => 0010010
[8,5,1,2,3,6,7,4] => 1100001 => 1000011 => 0111100
[2,8,6,1,5,4,7,3] => 0110101 => 1010110 => 0101001
[8,3,2,6,1,5,7,4] => 1101001 => 1001011 => 0110100
[3,8,6,4,7,1,2,5] => 0110100 => 0010110 => 1101001
[1,8,7,5,4,3,2,6] => 0111110 => 0111110 => 1000001
[8,6,4,7,1,3,2,5] => 1101010 => 0101011 => 1010100
[3,1,4,7,6,2,5,8] => 1001100 => 0011001 => 1100110
[5,3,4,1,6,2,7,8] => 1010100 => 0010101 => 1101010
[2,7,1,4,6,3,5,8] => 0100100 => 0010010 => 1101101
[7,3,1,6,5,2,4,8] => 1101100 => 0011011 => 1100100
[7,1,5,2,4,6,3,8] => 1010010 => 0100101 => 1011010
[6,1,4,5,2,7,3,8] => 1001010 => 0101001 => 1010110
[6,1,5,8,2,7,4,3] => 1001011 => 1101001 => 0010110
[7,1,2,3,6,4,5,8] => 1000100 => 0010001 => 1101110
[7,1,2,3,9,5,6,10,8,4] => 100010011 => 110010001 => 001101110
[6,1,2,9,4,5,3,10,8,7] => 100101011 => 110101001 => 001010110
[9,1,2,3,8,5,10,7,6,4] => 100010111 => 111010001 => 000101110
[9,1,2,8,4,3,10,7,5,6] => 100110110 => 011011001 => 100100110
[8,1,2,7,4,10,6,5,3,9] => 100101110 => 011101001 => 100010110
[9,1,8,3,2,5,10,7,4,6] => 101100110 => 011001101 => 100110010
[8,1,7,3,2,10,6,4,5,9] => 101101100 => 001101101 => 110010010
[7,1,2,3,10,5,6,9,8,4] => 100010011 => 110010001 => 001101110
[6,1,2,10,4,5,3,9,8,7] => 100101011 => 110101001 => 001010110
[8,1,2,3,10,5,9,6,7,4] => 100010101 => 101010001 => 010101110
[8,1,2,10,4,3,9,5,7,6] => 100110101 => 101011001 => 010100110
[7,1,2,10,4,9,5,3,6,8] => 100101100 => 001101001 => 110010110
[8,1,10,3,2,5,9,4,7,6] => 101100101 => 101001101 => 010110010
[7,1,10,3,2,9,4,5,6,8] => 101101000 => 000101101 => 111010010
[10,1,2,3,9,5,8,7,6,4] => 100010111 => 111010001 => 000101110
[10,1,2,9,4,3,8,7,5,6] => 100110110 => 011011001 => 100100110
[10,1,2,9,4,8,3,6,5,7] => 100101010 => 010101001 => 101010110
[9,1,2,8,4,7,6,5,3,10] => 100101110 => 011101001 => 100010110
[10,1,9,3,2,5,8,7,4,6] => 101100110 => 011001101 => 100110010
[10,1,9,3,2,8,5,6,4,7] => 101101010 => 010101101 => 101010010
[9,1,8,3,2,7,6,4,5,10] => 101101100 => 001101101 => 110010010
[8,1,2,3,10,9,5,7,6,4] => 100011011 => 110110001 => 001001110
[8,1,2,10,3,9,4,7,6,5] => 100101011 => 110101001 => 001010110
[7,1,2,10,9,4,6,3,5,8] => 100110100 => 001011001 => 110100110
[8,1,10,2,4,9,3,7,6,5] => 101001011 => 110100101 => 001011010
[7,1,10,2,9,3,6,4,5,8] => 101010100 => 001010101 => 110101010
[10,1,2,3,9,8,5,6,7,4] => 100011001 => 100110001 => 011001110
[10,1,2,9,3,8,4,6,7,5] => 100101001 => 100101001 => 011010110
[10,1,2,9,8,4,3,5,6,7] => 100111000 => 000111001 => 111000110
[9,1,2,8,7,4,5,6,3,10] => 100110010 => 010011001 => 101100110
[10,1,9,2,4,8,3,6,7,5] => 101001001 => 100100101 => 011011010
[10,1,9,2,8,3,4,5,6,7] => 101010000 => 000010101 => 111101010
[9,1,8,2,7,3,5,6,4,10] => 101010010 => 010010101 => 101101010
[10,1,9,8,3,2,6,4,5,7] => 101110100 => 001011101 => 110100010
[9,1,8,7,3,2,4,5,6,10] => 101110000 => 000011101 => 111100010
[8,10,1,3,4,9,2,7,6,5] => 010001011 => 110100010 => 001011101
[7,10,1,3,9,2,6,4,5,8] => 010010100 => 001010010 => 110101101
[10,9,1,3,4,8,2,6,7,5] => 110001001 => 100100011 => 011011100
[10,9,1,3,8,2,4,5,6,7] => 110010000 => 000010011 => 111101100
[9,8,1,3,7,2,5,6,4,10] => 110010010 => 010010011 => 101101100
[10,9,1,8,2,3,6,4,5,7] => 110100100 => 001001011 => 110110100
[9,8,1,7,2,3,4,5,6,10] => 110100000 => 000001011 => 111110100
[6,3,1,8,5,4,7,2] => 1101101 => 1011011 => 0100100
[6,1,3,8,7,4,5,2] => 1001101 => 1011001 => 0100110
[2,8,4,6,5,1,7,3] => 0101101 => 1011010 => 0100101
[7,4,1,3,6,5,2,8] => 1100110 => 0110011 => 1001100
[5,7,2,8,1,3,6,4] => 0101001 => 1001010 => 0110101
[6,5,1,4,7,3,2,8] => 1100110 => 0110011 => 1001100
[2,7,8,4,1,3,6,5] => 0011001 => 1001100 => 0110011
[2,4,6,5,7,8,1,3] => 0010010 => 0100100 => 1011011
[2,4,6,7,5,8,1,3] => 0001010 => 0101000 => 1010111
[2,4,6,3,7,8,1,5] => 0010010 => 0100100 => 1011011
[2,4,5,6,8,7,1,3] => 0000110 => 0110000 => 1001111
[2,4,5,6,8,3,7,1] => 0000101 => 1010000 => 0101111
[2,4,5,6,3,8,1,7] => 0001010 => 0101000 => 1010111
[2,3,4,6,8,5,1,7] => 0000110 => 0110000 => 1001111
[5,2,8,3,4,1,6,7] => 1010100 => 0010101 => 1101010
[3,6,4,1,2,7,8,5] => 0110001 => 1000110 => 0111001
[4,1,7,3,8,6,2,5] => 1010110 => 0110101 => 1001010
[8,4,1,2,5,3,7,6] => 1100101 => 1010011 => 0101100
[1,5,2,7,6,8,4,3] => 0101011 => 1101010 => 0010101
[4,7,6,8,3,1,2,5] => 0101100 => 0011010 => 1100101
[4,8,2,7,6,5,1,3] => 0101110 => 0111010 => 1000101
[7,4,2,8,6,5,1,3] => 1101110 => 0111011 => 1000100
[8,6,5,2,7,1,4,3] => 1110101 => 1010111 => 0101000
[6,5,8,2,7,1,4,3] => 1010101 => 1010101 => 0101010
[7,5,8,2,1,6,4,3] => 1011011 => 1101101 => 0010010
[3,2,1,6,5,8,4,7] => 1101010 => 0101011 => 1010100
[2,6,4,8,5,7,3,1] => 0101011 => 1101010 => 0010101
[6,3,1,4,5,8,2,7] => 1100010 => 0100011 => 1011100
[3,4,8,5,2,1,7,6] => 0011101 => 1011100 => 0100011
[4,8,7,1,3,2,6,5] => 0110101 => 1010110 => 0101001
[5,8,7,4,6,1,3,2] => 0110101 => 1010110 => 0101001
[3,4,1,8,7,6,2,5] => 0101110 => 0111010 => 1000101
[1,3,5,6,8,7,2,4] => 0000110 => 0110000 => 1001111
[2,8,7,5,4,1,6,3] => 0111101 => 1011110 => 0100001
[8,1,5,7,4,2,6,3] => 1001101 => 1011001 => 0100110
[5,8,7,3,4,1,6,2] => 0110101 => 1010110 => 0101001
[4,6,1,3,2,8,5,7] => 0101010 => 0101010 => 1010101
[2,6,5,8,3,1,4,7] => 0101100 => 0011010 => 1100101
[6,7,8,2,4,5,3,1] => 0010011 => 1100100 => 0011011
[3,2,8,4,5,7,1,6] => 1010010 => 0100101 => 1011010
[6,1,8,2,4,5,3,7] => 1010010 => 0100101 => 1011010
[8,3,6,4,2,7,1,5] => 1011010 => 0101101 => 1010010
[1,3,8,4,7,6,2,5] => 0010110 => 0110100 => 1001011
[8,3,7,5,4,1,2,6] => 1011100 => 0011101 => 1100010
[2,6,4,7,8,5,1,3] => 0100110 => 0110010 => 1001101
[5,4,3,7,6,1,8,2] => 1101101 => 1011011 => 0100100
[8,6,3,7,1,4,2,5] => 1101010 => 0101011 => 1010100
[3,1,2,8,7,6,4,5] => 1001110 => 0111001 => 1000110
[8,5,4,1,2,3,7,6] => 1110001 => 1000111 => 0111000
[8,3,2,1,6,4,7,5] => 1110101 => 1010111 => 0101000
[2,3,8,4,1,7,5,6] => 0011010 => 0101100 => 1010011
[4,6,1,3,2,7,8,5] => 0101001 => 1001010 => 0110101
[6,7,2,5,8,4,1,3] => 0100110 => 0110010 => 1001101
[4,1,7,8,2,5,6,3] => 1001001 => 1001001 => 0110110
[3,4,6,7,1,5,8,2] => 0001001 => 1001000 => 0110111
[3,4,5,7,8,1,6,2] => 0000101 => 1010000 => 0101111
[1,8,7,4,3,5,2,6] => 0111010 => 0101110 => 1010001
[2,4,5,8,1,3,7,6] => 0001001 => 1001000 => 0110111
[2,7,8,6,5,3,1,4] => 0011110 => 0111100 => 1000011
[6,3,1,5,8,4,2,7] => 1100110 => 0110011 => 1001100
[2,8,3,5,6,1,4,7] => 0100100 => 0010010 => 1101101
[1,3,6,4,2,7,5,8] => 0011010 => 0101100 => 1010011
[2,3,7,5,8,1,4,6] => 0010100 => 0010100 => 1101011
[3,2,8,5,6,1,4,7] => 1010100 => 0010101 => 1101010
[7,2,5,8,1,4,6,3] => 1001001 => 1001001 => 0110110
[4,7,5,8,1,2,6,3] => 0101001 => 1001010 => 0110101
[4,7,5,8,1,2,3,6] => 0101000 => 0001010 => 1110101
[3,4,7,5,2,8,1,6] => 0011010 => 0101100 => 1010011
[4,3,2,5,7,8,1,6] => 1100010 => 0100011 => 1011100
[2,4,7,5,8,3,1,6] => 0010110 => 0110100 => 1001011
[2,5,4,7,3,8,1,6] => 0101010 => 0101010 => 1010101
[3,7,8,4,2,1,6,5] => 0011101 => 1011100 => 0100011
[5,6,7,9,1,2,3,4,8] => 00010000 => 00001000 => 11110111
[4,5,6,7,9,1,2,3,8] => 00001000 => 00010000 => 11101111
[7,8,10,1,2,3,4,5,6,9] => 001000000 => 000000100 => 111111011
[4,5,6,7,8,10,1,2,3,9] => 000001000 => 000100000 => 111011111
[8,5,4,7,6,3,1,2] => 1101110 => 0111011 => 1000100
[1,5,4,8,7,6,2,3] => 0101110 => 0111010 => 1000101
[3,2,4,5,8,1,6,7] => 1000100 => 0010001 => 1101110
[3,6,8,4,2,7,1,5] => 0011010 => 0101100 => 1010011
[1,4,7,6,3,8,2,5] => 0011010 => 0101100 => 1010011
[3,6,5,1,7,2,8,4] => 0110101 => 1010110 => 0101001
[7,4,1,6,2,8,5,3] => 1101011 => 1101011 => 0010100
[1,3,6,8,2,4,7,5] => 0001001 => 1001000 => 0110111
[1,6,7,4,3,8,2,5] => 0011010 => 0101100 => 1010011
[7,3,1,6,5,2,8,4] => 1101101 => 1011011 => 0100100
[8,5,4,1,6,2,7,3] => 1110101 => 1010111 => 0101000
[4,7,2,8,5,1,6,3] => 0101101 => 1011010 => 0100101
[7,8,6,2,1,5,4,3] => 0111011 => 1101110 => 0010001
[8,6,2,7,3,5,1,4] => 1101010 => 0101011 => 1010100
[2,1,3,8,7,5,6,4] => 1001101 => 1011001 => 0100110
[8,1,7,3,6,5,2,4] => 1010110 => 0110101 => 1001010
[1,6,5,7,4,8,3,9,2] => 01010101 => 10101010 => 01010101
[5,4,6,3,8,2,7,1,9] => 10101010 => 01010101 => 10101010
[1,6,7,5,8,4,9,3,10,2] => 001010101 => 101010100 => 010101011
[6,5,7,4,8,3,9,2,10,1,11] => 1010101010 => 0101010101 => 1010101010
[1,6,4,7,3,8,5,2] => 0101011 => 1101010 => 0010101
[1,7,6,8,5,9,4,10,3,11,2] => 0101010101 => 1010101010 => 0101010101
[1,2,3,4,5,6,8,10,7,9] => 000000010 => 010000000 => 101111111
[3,4,5,6,7,8,2,1,9] => 00000110 => 01100000 => 10011111
[3,4,5,6,7,2,1,8,9] => 00001100 => 00110000 => 11001111
[4,5,6,7,8,1,2,3,9] => 00001000 => 00010000 => 11101111
[4,8,1,6,3,7,2,5] => 0101010 => 0101010 => 1010101
[8,5,4,1,6,3,7,2] => 1110101 => 1010111 => 0101000
[1,7,6,2,4,8,5,3] => 0110011 => 1100110 => 0011001
[5,7,3,2,4,8,6,1] => 0110011 => 1100110 => 0011001
[2,8,4,6,3,5,1,7] => 0101010 => 0101010 => 1010101
[2,7,8,3,6,4,5,1] => 0010101 => 1010100 => 0101011
[3,8,1,4,6,5,2,7] => 0100110 => 0110010 => 1001101
[2,7,5,4,1,8,3,6] => 0111010 => 0101110 => 1010001
[4,6,1,8,5,3,2,7] => 0101110 => 0111010 => 1000101
[3,8,5,2,1,6,4,7] => 0111010 => 0101110 => 1010001
[5,1,4,8,2,6,3,7] => 1001010 => 0101001 => 1010110
[4,5,8,1,3,7,6,2] => 0010011 => 1100100 => 0011011
[8,6,7,1,4,3,2,5] => 1010110 => 0110101 => 1001010
[1,4,7,8,6,3,5,2] => 0001101 => 1011000 => 0100111
[8,5,2,6,3,4,7,1] => 1101001 => 1001011 => 0110100
[8,3,6,1,2,7,4,5] => 1010010 => 0100101 => 1011010
[3,8,6,1,2,5,7,4] => 0110001 => 1000110 => 0111001
[3,7,6,2,1,8,5,4] => 0111011 => 1101110 => 0010001
[4,3,7,6,1,8,5,2] => 1011011 => 1101101 => 0010010
[8,6,3,2,7,1,5,4] => 1110101 => 1010111 => 0101000
[6,8,1,5,4,7,2,3] => 0101010 => 0101010 => 1010101
[6,7,2,5,4,8,1,3] => 0101010 => 0101010 => 1010101
[7,6,2,4,8,5,1,3] => 1100110 => 0110011 => 1001100
[4,6,8,7,3,1,2,5] => 0011100 => 0011100 => 1100011
[4,7,5,2,6,3,8,1] => 0110101 => 1010110 => 0101001
[3,5,6,2,8,1,4,7] => 0010100 => 0010100 => 1101011
[8,9,10,4,5,6,2,3,1,7] => 001001010 => 010100100 => 101011011
[8,9,4,5,6,10,2,3,1,7] => 010001010 => 010100010 => 101011101
[8,9,10,4,5,2,3,6,1,7] => 001010010 => 010010100 => 101101011
[8,9,4,5,10,2,3,6,1,7] => 010010010 => 010010010 => 101101101
[8,9,4,5,2,3,6,10,1,7] => 010100010 => 010001010 => 101110101
[8,4,5,9,10,2,3,6,1,7] => 100010010 => 010010001 => 101101110
[8,4,5,9,2,3,6,10,1,7] => 100100010 => 010001001 => 101110110
[8,9,10,4,5,6,2,1,3,7] => 001001100 => 001100100 => 110011011
[8,9,4,5,6,10,2,1,3,7] => 010001100 => 001100010 => 110011101
[8,9,10,4,5,2,6,1,3,7] => 001010100 => 001010100 => 110101011
[8,9,4,5,10,2,6,1,3,7] => 010010100 => 001010010 => 110101101
[8,9,4,5,2,6,10,1,3,7] => 010100100 => 001001010 => 110110101
[8,4,5,9,10,2,6,1,3,7] => 100010100 => 001010001 => 110101110
[8,4,5,9,2,6,10,1,3,7] => 100100100 => 001001001 => 110110110
[8,9,10,4,5,2,1,3,6,7] => 001011000 => 000110100 => 111001011
[8,9,4,5,10,2,1,3,6,7] => 010011000 => 000110010 => 111001101
[8,9,4,5,2,10,1,3,6,7] => 010101000 => 000101010 => 111010101
[8,9,4,5,2,1,3,6,10,7] => 010110001 => 100011010 => 011100101
[8,4,5,9,10,2,1,3,6,7] => 100011000 => 000110001 => 111001110
[8,4,5,9,2,10,1,3,6,7] => 100101000 => 000101001 => 111010110
[8,4,5,9,2,1,3,6,10,7] => 100110001 => 100011001 => 011100110
[8,9,10,4,2,5,6,1,3,7] => 001100100 => 001001100 => 110110011
[8,9,4,10,2,5,6,1,3,7] => 010100100 => 001001010 => 110110101
[8,9,4,2,5,6,10,1,3,7] => 011000100 => 001000110 => 110111001
[8,4,9,10,2,5,6,1,3,7] => 100100100 => 001001001 => 110110110
[8,4,9,2,5,6,10,1,3,7] => 101000100 => 001000101 => 110111010
[8,9,10,4,2,5,1,3,6,7] => 001101000 => 000101100 => 111010011
[8,9,4,10,2,5,1,3,6,7] => 010101000 => 000101010 => 111010101
[8,9,4,2,5,10,1,3,6,7] => 011001000 => 000100110 => 111011001
[8,9,4,2,5,1,3,6,10,7] => 011010001 => 100010110 => 011101001
[8,4,9,10,2,5,1,3,6,7] => 100101000 => 000101001 => 111010110
[8,4,9,2,5,1,3,6,10,7] => 101010001 => 100010101 => 011101010
[8,4,2,5,9,10,1,3,6,7] => 110001000 => 000100011 => 111011100
[8,4,2,5,9,1,3,6,10,7] => 110010001 => 100010011 => 011101100
[4,8,9,10,2,5,6,1,3,7] => 000100100 => 001001000 => 110110111
[4,8,9,2,5,6,10,1,3,7] => 001000100 => 001000100 => 110111011
[4,8,9,10,2,5,1,3,6,7] => 000101000 => 000101000 => 111010111
[4,8,9,2,5,10,1,3,6,7] => 001001000 => 000100100 => 111011011
[4,8,9,2,5,1,3,6,10,7] => 001010001 => 100010100 => 011101011
[4,8,2,5,9,10,1,3,6,7] => 010001000 => 000100010 => 111011101
[4,8,2,5,9,1,3,6,10,7] => 010010001 => 100010010 => 011101101
[5,1,2,4,3,7,6,8] => 1001010 => 0101001 => 1010110
[6,1,8,2,4,3,5,7] => 1010100 => 0010101 => 1101010
[1,6,8,2,5,3,4,7] => 0010100 => 0010100 => 1101011
[8,7,6,2,4,5,1,3] => 1110010 => 0100111 => 1011000
[8,7,6,2,4,5,3,1] => 1110011 => 1100111 => 0011000
[5,4,8,7,1,2,6,3] => 1011001 => 1001101 => 0110010
[2,5,6,4,3,8,1,7] => 0011010 => 0101100 => 1010011
[8,7,3,5,1,4,6,2] => 1101001 => 1001011 => 0110100
[8,6,3,5,2,1,4,7] => 1101100 => 0011011 => 1100100
[8,7,3,5,2,4,6,1] => 1101001 => 1001011 => 0110100
[8,4,2,7,6,5,1,3] => 1101110 => 0111011 => 1000100
[4,6,3,8,5,2,7,1] => 0101101 => 1011010 => 0100101
[8,7,1,4,5,6,2,3] => 1100010 => 0100011 => 1011100
[4,1,3,8,5,6,2,7] => 1001010 => 0101001 => 1010110
[5,2,8,3,1,6,7,4] => 1011001 => 1001101 => 0110010
[1,7,8,6,3,2,5,4] => 0011101 => 1011100 => 0100011
[3,7,2,4,5,6,1,8] => 0100010 => 0100010 => 1011101
[3,2,8,1,5,7,4,6] => 1010010 => 0100101 => 1011010
[3,4,6,7,2,1,5,8] => 0001100 => 0011000 => 1100111
[2,6,7,1,4,3,8,5] => 0010101 => 1010100 => 0101011
[3,2,7,4,8,5,6,1] => 1010101 => 1010101 => 0101010
[6,3,8,5,4,2,7,1] => 1011101 => 1011101 => 0100010
[7,4,6,1,3,5,2,8] => 1010010 => 0100101 => 1011010
[1,5,3,8,7,4,6,2] => 0101101 => 1011010 => 0100101
[5,1,3,8,7,4,6,2] => 1001101 => 1011001 => 0100110
[2,5,3,8,7,4,1,6] => 0101110 => 0111010 => 1000101
[6,8,3,5,1,2,7,4] => 0101001 => 1001010 => 0110101
[5,8,2,7,4,6,3,1] => 0101011 => 1101010 => 0010101
[4,5,2,8,3,7,1,6] => 0101010 => 0101010 => 1010101
[7,8,5,1,6,4,3,2] => 0110111 => 1110110 => 0001001
[8,7,5,1,6,4,3,2] => 1110111 => 1110111 => 0001000
[4,5,8,3,1,2,7,6] => 0011001 => 1001100 => 0110011
[4,6,8,3,2,1,7,5] => 0011101 => 1011100 => 0100011
[4,6,8,3,5,1,2,7] => 0010100 => 0010100 => 1101011
[1,4,6,3,7,5,2,8] => 0010110 => 0110100 => 1001011
[4,5,2,6,8,7,3,1] => 0100111 => 1110010 => 0001101
[1,3,8,7,4,5,6,2] => 0011001 => 1001100 => 0110011
[7,3,1,8,4,5,6,2] => 1101001 => 1001011 => 0110100
[3,2,8,7,4,5,6,1] => 1011001 => 1001101 => 0110010
[6,2,4,3,7,5,8,1] => 1010101 => 1010101 => 0101010
[6,4,2,5,1,7,8,3] => 1101001 => 1001011 => 0110100
[3,8,2,1,5,7,6,4] => 0110011 => 1100110 => 0011001
[1,3,2,8,7,4,6,5] => 0101101 => 1011010 => 0100101
[7,5,2,8,3,1,6,4] => 1101101 => 1011011 => 0100100
[5,4,2,7,3,8,6,1] => 1101011 => 1101011 => 0010100
[4,6,3,7,8,1,2,5] => 0100100 => 0010010 => 1101101
[8,3,5,4,7,1,2,6] => 1010100 => 0010101 => 1101010
[6,2,5,4,1,7,8,3] => 1011001 => 1001101 => 0110010
[4,1,5,6,3,8,7,2] => 1001011 => 1101001 => 0010110
[8,5,1,6,3,2,4,7] => 1101100 => 0011011 => 1100100
[6,8,7,4,3,2,5,1] => 0111101 => 1011110 => 0100001
[2,8,5,1,3,7,6,4] => 0110011 => 1100110 => 0011001
[5,6,4,1,8,2,7,3] => 0110101 => 1010110 => 0101001
[6,4,5,1,3,8,7,2] => 1010011 => 1100101 => 0011010
[6,1,3,5,4,8,2,7] => 1001010 => 0101001 => 1010110
[1,3,8,7,2,5,6,4] => 0011001 => 1001100 => 0110011
[2,5,4,1,8,3,7,6] => 0110101 => 1010110 => 0101001
[5,1,4,8,3,7,6,2] => 1001011 => 1101001 => 0010110
[8,4,1,2,7,6,5,3] => 1100111 => 1110011 => 0001100
[4,8,3,2,7,6,5,1] => 0110111 => 1110110 => 0001001
[1,8,7,3,4,6,5,2] => 0110011 => 1100110 => 0011001
[4,3,1,2,6,5,8,7,9] => 11001010 => 01010011 => 10101100
[6,5,3,1,2,4,8,7,9] => 11100010 => 01000111 => 10111000
[8,7,5,3,1,2,4,6,9] => 11110000 => 00001111 => 11110000
[7,5,3,1,2,4,6,9,8] => 11100001 => 10000111 => 01111000
[5,3,1,2,4,7,6,9,8] => 11000101 => 10100011 => 01011100
[4,1,2,6,5,3,8,7,9] => 10011010 => 01011001 => 10100110
[6,5,3,1,2,4,8,7,10,9] => 111000101 => 101000111 => 010111000
[6,3,1,2,4,8,7,5,9] => 11000110 => 01100011 => 10011100
[8,7,5,3,1,2,4,6,10,9] => 111100001 => 100001111 => 011110000
[8,5,3,1,2,4,6,9,7] => 11100001 => 10000111 => 01111000
[10,9,7,5,3,1,2,4,6,8] => 111110000 => 000011111 => 111100000
[5,3,1,2,4,6,8,7] => 1100001 => 1000011 => 0111100
[8,5,7,3,1,2,4,6] => 1011000 => 0001101 => 1110010
[7,5,3,1,2,4,6,8,9] => 11100000 => 00000111 => 11111000
[3,1,2,8,7,5,4,6] => 1001110 => 0111001 => 1000110
[5,3,1,2,4,9,7,6,8] => 11000110 => 01100011 => 10011100
[7,5,3,1,2,4,6,9,8,10] => 111000010 => 010000111 => 101111000
[3,1,2,7,5,4,6,9,8] => 10011001 => 10011001 => 01100110
[5,3,1,2,4,7,6,9,8,10] => 110001010 => 010100011 => 101011100
[1,5,3,2,4,7,6,9,8] => 01100101 => 10100110 => 01011001
[1,4,3,8,5,7,2,6] => 0101010 => 0101010 => 1010101
[6,7,1,5,2,8,4,3] => 0101011 => 1101010 => 0010101
[1,5,3,7,6,4,8,2] => 0101101 => 1011010 => 0100101
[4,8,1,3,6,2,7,5] => 0100101 => 1010010 => 0101101
[2,7,3,4,8,6,5,1] => 0100111 => 1110010 => 0001101
[1,8,2,4,7,3,6,5] => 0100101 => 1010010 => 0101101
[6,2,3,8,1,5,7,4] => 1001001 => 1001001 => 0110110
[2,5,7,4,8,3,6,1] => 0010101 => 1010100 => 0101011
[8,5,6,2,4,7,1,3] => 1010010 => 0100101 => 1011010
[4,8,5,6,7,1,3,2] => 0100101 => 1010010 => 0101101
[8,1,5,7,3,6,4,2] => 1001011 => 1101001 => 0010110
[2,7,6,4,3,8,5,1] => 0111011 => 1101110 => 0010001
[3,8,6,2,7,5,4,1] => 0110111 => 1110110 => 0001001
[4,8,1,6,2,5,3,7] => 0101010 => 0101010 => 1010101
[1,8,4,2,5,7,3,6] => 0110010 => 0100110 => 1011001
[5,8,3,1,2,4,6,7] => 0110000 => 0000110 => 1111001
[1,4,8,5,2,3,6,7] => 0011000 => 0001100 => 1110011
[1,4,8,5,2,3,7,6] => 0011001 => 1001100 => 0110011
[1,5,8,7,2,4,3,6] => 0011010 => 0101100 => 1010011
[1,5,4,2,8,3,7,6] => 0110101 => 1010110 => 0101001
[1,2,8,7,3,5,4,6] => 0011010 => 0101100 => 1010011
[8,7,1,3,2,5,4,6] => 1101010 => 0101011 => 1010100
[6,7,4,2,8,1,3,5] => 0110100 => 0010110 => 1101001
[4,1,6,8,7,2,3,5] => 1001100 => 0011001 => 1100110
[4,7,5,6,2,8,3,1] => 0101011 => 1101010 => 0010101
[8,4,3,6,7,5,2,1] => 1100111 => 1110011 => 0001100
[6,7,5,2,8,4,3,1] => 0110111 => 1110110 => 0001001
[6,8,4,3,2,7,5,1] => 0111011 => 1101110 => 0010001
[2,1,4,3,6,5,9,7,10,8] => 101010101 => 101010101 => 010101010
[2,1,4,3,7,5,8,6,10,9] => 101010101 => 101010101 => 010101010
[2,1,4,3,7,5,9,6,10,8] => 101010101 => 101010101 => 010101010
[2,1,4,3,8,5,9,6,10,7] => 101010101 => 101010101 => 010101010
[2,1,5,3,6,4,8,7,10,9] => 101010101 => 101010101 => 010101010
[2,1,5,3,6,4,9,7,10,8] => 101010101 => 101010101 => 010101010
[2,1,5,3,7,4,8,6,10,9] => 101010101 => 101010101 => 010101010
[2,1,5,3,7,4,9,6,10,8] => 101010101 => 101010101 => 010101010
[2,1,5,3,8,4,9,6,10,7] => 101010101 => 101010101 => 010101010
[2,1,6,3,7,4,8,5,10,9] => 101010101 => 101010101 => 010101010
[2,1,6,3,7,4,9,5,10,8] => 101010101 => 101010101 => 010101010
[2,1,6,3,8,4,9,5,10,7] => 101010101 => 101010101 => 010101010
[2,1,7,3,8,4,9,5,10,6] => 101010101 => 101010101 => 010101010
[3,1,4,2,6,5,9,7,10,8] => 101010101 => 101010101 => 010101010
[3,1,4,2,7,5,8,6,10,9] => 101010101 => 101010101 => 010101010
[3,1,4,2,7,5,9,6,10,8] => 101010101 => 101010101 => 010101010
[3,1,4,2,8,5,9,6,10,7] => 101010101 => 101010101 => 010101010
[3,1,5,2,6,4,9,7,10,8] => 101010101 => 101010101 => 010101010
[3,1,5,2,8,4,9,6,10,7] => 101010101 => 101010101 => 010101010
[3,1,6,2,7,4,8,5,10,9] => 101010101 => 101010101 => 010101010
[3,1,6,2,7,4,9,5,10,8] => 101010101 => 101010101 => 010101010
[3,1,6,2,8,4,9,5,10,7] => 101010101 => 101010101 => 010101010
[3,1,7,2,8,4,9,5,10,6] => 101010101 => 101010101 => 010101010
[4,1,5,2,6,3,9,7,10,8] => 101010101 => 101010101 => 010101010
[4,1,5,2,7,3,8,6,10,9] => 101010101 => 101010101 => 010101010
[4,1,5,2,7,3,9,6,10,8] => 101010101 => 101010101 => 010101010
[4,1,5,2,8,3,9,6,10,7] => 101010101 => 101010101 => 010101010
[4,1,6,2,7,3,8,5,10,9] => 101010101 => 101010101 => 010101010
[4,1,6,2,7,3,9,5,10,8] => 101010101 => 101010101 => 010101010
[4,1,6,2,8,3,9,5,10,7] => 101010101 => 101010101 => 010101010
[4,1,7,2,8,3,9,5,10,6] => 101010101 => 101010101 => 010101010
[5,1,6,2,7,3,9,4,10,8] => 101010101 => 101010101 => 010101010
[5,1,6,2,8,3,9,4,10,7] => 101010101 => 101010101 => 010101010
[5,1,7,2,8,3,9,4,10,6] => 101010101 => 101010101 => 010101010
[2,1,4,3,6,5,8,7,11,9,12,10] => 10101010101 => 10101010101 => 01010101010
[2,1,4,3,6,5,9,7,10,8,12,11] => 10101010101 => 10101010101 => 01010101010
[2,1,4,3,6,5,9,7,11,8,12,10] => 10101010101 => 10101010101 => 01010101010
[2,1,4,3,6,5,10,7,11,8,12,9] => 10101010101 => 10101010101 => 01010101010
[2,1,4,3,7,5,8,6,10,9,12,11] => 10101010101 => 10101010101 => 01010101010
[2,1,4,3,7,5,8,6,11,9,12,10] => 10101010101 => 10101010101 => 01010101010
[2,1,4,3,7,5,9,6,10,8,12,11] => 10101010101 => 10101010101 => 01010101010
[2,1,4,3,7,5,9,6,11,8,12,10] => 10101010101 => 10101010101 => 01010101010
[2,1,4,3,7,5,10,6,11,8,12,9] => 10101010101 => 10101010101 => 01010101010
[2,1,4,3,8,5,9,6,10,7,12,11] => 10101010101 => 10101010101 => 01010101010
[2,1,4,3,8,5,9,6,11,7,12,10] => 10101010101 => 10101010101 => 01010101010
[2,1,4,3,8,5,10,6,11,7,12,9] => 10101010101 => 10101010101 => 01010101010
[2,1,4,3,9,5,10,6,11,7,12,8] => 10101010101 => 10101010101 => 01010101010
[2,1,5,3,6,4,8,7,10,9,12,11] => 10101010101 => 10101010101 => 01010101010
[2,1,5,3,6,4,8,7,11,9,12,10] => 10101010101 => 10101010101 => 01010101010
[2,1,5,3,6,4,9,7,10,8,12,11] => 10101010101 => 10101010101 => 01010101010
[2,1,5,3,6,4,9,7,11,8,12,10] => 10101010101 => 10101010101 => 01010101010
[2,1,5,3,6,4,10,7,11,8,12,9] => 10101010101 => 10101010101 => 01010101010
[2,1,5,3,7,4,8,6,10,9,12,11] => 10101010101 => 10101010101 => 01010101010
[2,1,5,3,7,4,8,6,11,9,12,10] => 10101010101 => 10101010101 => 01010101010
[2,1,5,3,7,4,9,6,10,8,12,11] => 10101010101 => 10101010101 => 01010101010
[2,1,5,3,7,4,9,6,11,8,12,10] => 10101010101 => 10101010101 => 01010101010
[2,1,5,3,7,4,10,6,11,8,12,9] => 10101010101 => 10101010101 => 01010101010
[2,1,5,3,8,4,9,6,10,7,12,11] => 10101010101 => 10101010101 => 01010101010
[2,1,5,3,8,4,9,6,11,7,12,10] => 10101010101 => 10101010101 => 01010101010
[2,1,5,3,8,4,10,6,11,7,12,9] => 10101010101 => 10101010101 => 01010101010
[2,1,5,3,9,4,10,6,11,7,12,8] => 10101010101 => 10101010101 => 01010101010
[2,1,6,3,7,4,8,5,10,9,12,11] => 10101010101 => 10101010101 => 01010101010
[2,1,6,3,7,4,8,5,11,9,12,10] => 10101010101 => 10101010101 => 01010101010
[2,1,6,3,7,4,9,5,10,8,12,11] => 10101010101 => 10101010101 => 01010101010
[2,1,6,3,7,4,9,5,11,8,12,10] => 10101010101 => 10101010101 => 01010101010
[2,1,6,3,7,4,10,5,11,8,12,9] => 10101010101 => 10101010101 => 01010101010
[2,1,6,3,8,4,9,5,10,7,12,11] => 10101010101 => 10101010101 => 01010101010
[2,1,6,3,8,4,9,5,11,7,12,10] => 10101010101 => 10101010101 => 01010101010
[2,1,6,3,8,4,10,5,11,7,12,9] => 10101010101 => 10101010101 => 01010101010
[2,1,6,3,9,4,10,5,11,7,12,8] => 10101010101 => 10101010101 => 01010101010
[2,1,7,3,8,4,9,5,10,6,12,11] => 10101010101 => 10101010101 => 01010101010
[2,1,7,3,8,4,9,5,11,6,12,10] => 10101010101 => 10101010101 => 01010101010
[2,1,7,3,8,4,10,5,11,6,12,9] => 10101010101 => 10101010101 => 01010101010
[2,1,7,3,9,4,10,5,11,6,12,8] => 10101010101 => 10101010101 => 01010101010
[2,1,8,3,9,4,10,5,11,6,12,7] => 10101010101 => 10101010101 => 01010101010
[3,1,4,2,6,5,8,7,10,9,12,11] => 10101010101 => 10101010101 => 01010101010
[3,1,4,2,6,5,8,7,11,9,12,10] => 10101010101 => 10101010101 => 01010101010
[3,1,4,2,6,5,9,7,10,8,12,11] => 10101010101 => 10101010101 => 01010101010
[3,1,4,2,6,5,9,7,11,8,12,10] => 10101010101 => 10101010101 => 01010101010
[3,1,4,2,6,5,10,7,11,8,12,9] => 10101010101 => 10101010101 => 01010101010
[3,1,4,2,7,5,8,6,10,9,12,11] => 10101010101 => 10101010101 => 01010101010
[3,1,4,2,7,5,8,6,11,9,12,10] => 10101010101 => 10101010101 => 01010101010
[3,1,4,2,7,5,9,6,10,8,12,11] => 10101010101 => 10101010101 => 01010101010
[3,1,4,2,7,5,9,6,11,8,12,10] => 10101010101 => 10101010101 => 01010101010
[3,1,4,2,7,5,10,6,11,8,12,9] => 10101010101 => 10101010101 => 01010101010
[3,1,4,2,8,5,9,6,10,7,12,11] => 10101010101 => 10101010101 => 01010101010
[3,1,4,2,8,5,9,6,11,7,12,10] => 10101010101 => 10101010101 => 01010101010
[3,1,4,2,8,5,10,6,11,7,12,9] => 10101010101 => 10101010101 => 01010101010
[3,1,4,2,9,5,10,6,11,7,12,8] => 10101010101 => 10101010101 => 01010101010
[3,1,5,2,6,4,8,7,10,9,12,11] => 10101010101 => 10101010101 => 01010101010
[3,1,5,2,6,4,8,7,11,9,12,10] => 10101010101 => 10101010101 => 01010101010
[3,1,5,2,6,4,9,7,10,8,12,11] => 10101010101 => 10101010101 => 01010101010
[3,1,5,2,6,4,9,7,11,8,12,10] => 10101010101 => 10101010101 => 01010101010
[3,1,5,2,6,4,10,7,11,8,12,9] => 10101010101 => 10101010101 => 01010101010
[3,1,5,2,7,4,8,6,10,9,12,11] => 10101010101 => 10101010101 => 01010101010
[3,1,5,2,7,4,8,6,11,9,12,10] => 10101010101 => 10101010101 => 01010101010
[3,1,5,2,7,4,9,6,10,8,12,11] => 10101010101 => 10101010101 => 01010101010
[3,1,5,2,7,4,9,6,11,8,12,10] => 10101010101 => 10101010101 => 01010101010
[3,1,5,2,7,4,10,6,11,8,12,9] => 10101010101 => 10101010101 => 01010101010
[3,1,5,2,8,4,9,6,10,7,12,11] => 10101010101 => 10101010101 => 01010101010
[3,1,5,2,8,4,9,6,11,7,12,10] => 10101010101 => 10101010101 => 01010101010
[3,1,5,2,8,4,10,6,11,7,12,9] => 10101010101 => 10101010101 => 01010101010
[3,1,5,2,9,4,10,6,11,7,12,8] => 10101010101 => 10101010101 => 01010101010
[3,1,6,2,7,4,8,5,10,9,12,11] => 10101010101 => 10101010101 => 01010101010
[3,1,6,2,7,4,8,5,11,9,12,10] => 10101010101 => 10101010101 => 01010101010
[3,1,6,2,7,4,9,5,10,8,12,11] => 10101010101 => 10101010101 => 01010101010
[3,1,6,2,7,4,9,5,11,8,12,10] => 10101010101 => 10101010101 => 01010101010
[3,1,6,2,7,4,10,5,11,8,12,9] => 10101010101 => 10101010101 => 01010101010
[3,1,6,2,8,4,9,5,10,7,12,11] => 10101010101 => 10101010101 => 01010101010
[3,1,6,2,8,4,9,5,11,7,12,10] => 10101010101 => 10101010101 => 01010101010
[3,1,6,2,8,4,10,5,11,7,12,9] => 10101010101 => 10101010101 => 01010101010
[3,1,6,2,9,4,10,5,11,7,12,8] => 10101010101 => 10101010101 => 01010101010
[3,1,7,2,8,4,9,5,10,6,12,11] => 10101010101 => 10101010101 => 01010101010
[3,1,7,2,8,4,9,5,11,6,12,10] => 10101010101 => 10101010101 => 01010101010
[3,1,7,2,8,4,10,5,11,6,12,9] => 10101010101 => 10101010101 => 01010101010
[3,1,7,2,9,4,10,5,11,6,12,8] => 10101010101 => 10101010101 => 01010101010
[3,1,8,2,9,4,10,5,11,6,12,7] => 10101010101 => 10101010101 => 01010101010
[4,1,5,2,6,3,8,7,10,9,12,11] => 10101010101 => 10101010101 => 01010101010
[4,1,5,2,6,3,8,7,11,9,12,10] => 10101010101 => 10101010101 => 01010101010
[4,1,5,2,6,3,9,7,10,8,12,11] => 10101010101 => 10101010101 => 01010101010
[4,1,5,2,6,3,9,7,11,8,12,10] => 10101010101 => 10101010101 => 01010101010
[4,1,5,2,6,3,10,7,11,8,12,9] => 10101010101 => 10101010101 => 01010101010
[4,1,5,2,7,3,8,6,10,9,12,11] => 10101010101 => 10101010101 => 01010101010
[4,1,5,2,7,3,8,6,11,9,12,10] => 10101010101 => 10101010101 => 01010101010
[4,1,5,2,7,3,9,6,10,8,12,11] => 10101010101 => 10101010101 => 01010101010
[4,1,5,2,7,3,9,6,11,8,12,10] => 10101010101 => 10101010101 => 01010101010
[4,1,5,2,7,3,10,6,11,8,12,9] => 10101010101 => 10101010101 => 01010101010
[4,1,5,2,8,3,9,6,10,7,12,11] => 10101010101 => 10101010101 => 01010101010
[4,1,5,2,8,3,9,6,11,7,12,10] => 10101010101 => 10101010101 => 01010101010
[4,1,5,2,8,3,10,6,11,7,12,9] => 10101010101 => 10101010101 => 01010101010
[4,1,5,2,9,3,10,6,11,7,12,8] => 10101010101 => 10101010101 => 01010101010
[4,1,6,2,7,3,8,5,10,9,12,11] => 10101010101 => 10101010101 => 01010101010
[4,1,6,2,7,3,8,5,11,9,12,10] => 10101010101 => 10101010101 => 01010101010
[4,1,6,2,7,3,9,5,10,8,12,11] => 10101010101 => 10101010101 => 01010101010
[4,1,6,2,7,3,9,5,11,8,12,10] => 10101010101 => 10101010101 => 01010101010
[4,1,6,2,7,3,10,5,11,8,12,9] => 10101010101 => 10101010101 => 01010101010
[4,1,6,2,8,3,9,5,10,7,12,11] => 10101010101 => 10101010101 => 01010101010
[4,1,6,2,8,3,9,5,11,7,12,10] => 10101010101 => 10101010101 => 01010101010
[4,1,6,2,8,3,10,5,11,7,12,9] => 10101010101 => 10101010101 => 01010101010
[4,1,6,2,9,3,10,5,11,7,12,8] => 10101010101 => 10101010101 => 01010101010
[4,1,7,2,8,3,9,5,10,6,12,11] => 10101010101 => 10101010101 => 01010101010
[4,1,7,2,8,3,9,5,11,6,12,10] => 10101010101 => 10101010101 => 01010101010
[4,1,7,2,8,3,10,5,11,6,12,9] => 10101010101 => 10101010101 => 01010101010
[4,1,7,2,9,3,10,5,11,6,12,8] => 10101010101 => 10101010101 => 01010101010
[4,1,8,2,9,3,10,5,11,6,12,7] => 10101010101 => 10101010101 => 01010101010
[5,1,6,2,7,3,8,4,10,9,12,11] => 10101010101 => 10101010101 => 01010101010
[5,1,6,2,7,3,8,4,11,9,12,10] => 10101010101 => 10101010101 => 01010101010
[5,1,6,2,7,3,9,4,10,8,12,11] => 10101010101 => 10101010101 => 01010101010
[5,1,6,2,7,3,9,4,11,8,12,10] => 10101010101 => 10101010101 => 01010101010
[5,1,6,2,7,3,10,4,11,8,12,9] => 10101010101 => 10101010101 => 01010101010
[5,1,6,2,8,3,9,4,10,7,12,11] => 10101010101 => 10101010101 => 01010101010
[5,1,6,2,8,3,9,4,11,7,12,10] => 10101010101 => 10101010101 => 01010101010
[5,1,6,2,8,3,10,4,11,7,12,9] => 10101010101 => 10101010101 => 01010101010
[5,1,6,2,9,3,10,4,11,7,12,8] => 10101010101 => 10101010101 => 01010101010
[5,1,7,2,8,3,9,4,10,6,12,11] => 10101010101 => 10101010101 => 01010101010
[5,1,7,2,8,3,9,4,11,6,12,10] => 10101010101 => 10101010101 => 01010101010
[5,1,7,2,8,3,10,4,11,6,12,9] => 10101010101 => 10101010101 => 01010101010
[5,1,7,2,9,3,10,4,11,6,12,8] => 10101010101 => 10101010101 => 01010101010
[5,1,8,2,9,3,10,4,11,6,12,7] => 10101010101 => 10101010101 => 01010101010
[6,1,7,2,8,3,9,4,10,5,12,11] => 10101010101 => 10101010101 => 01010101010
[6,1,7,2,8,3,9,4,11,5,12,10] => 10101010101 => 10101010101 => 01010101010
[6,1,7,2,8,3,10,4,11,5,12,9] => 10101010101 => 10101010101 => 01010101010
[6,1,7,2,9,3,10,4,11,5,12,8] => 10101010101 => 10101010101 => 01010101010
[6,1,8,2,9,3,10,4,11,5,12,7] => 10101010101 => 10101010101 => 01010101010
[2,9,8,7,6,5,1,4,3] => 01111101 => 10111110 => 01000001
[2,10,9,8,7,6,5,1,4,3] => 011111101 => 101111110 => 010000001
[6,1,7,3,5,8,2,4] => 1010010 => 0100101 => 1011010
[1,3,7,6,4,8,2,5] => 0011010 => 0101100 => 1010011
[2,6,4,8,7,3,1,5] => 0101110 => 0111010 => 1000101
[2,1,8,7,3,5,4,6] => 1011010 => 0101101 => 1010010
[6,1,5,8,7,4,3,2] => 1001111 => 1111001 => 0000110
[6,1,8,5,7,4,3,2] => 1010111 => 1110101 => 0001010
[8,5,1,4,7,6,3,2] => 1100111 => 1110011 => 0001100
[8,1,3,7,2,4,6,5] => 1001001 => 1001001 => 0110110
[2,6,7,3,5,8,4,1] => 0010011 => 1100100 => 0011011
[2,6,7,3,5,8,1,4] => 0010010 => 0100100 => 1011011
[5,3,1,6,4,8,2,7] => 1101010 => 0101011 => 1010100
[2,5,6,7,1,4,8,3] => 0001001 => 1001000 => 0110111
[4,7,5,3,2,8,1,6] => 0111010 => 0101110 => 1010001
[4,7,5,2,8,6,1,3] => 0110110 => 0110110 => 1001001
[5,8,1,2,7,4,3,6] => 0100110 => 0110010 => 1001101
[6,3,1,8,2,4,5,7] => 1101000 => 0001011 => 1110100
[4,6,3,7,8,1,5,2] => 0100101 => 1010010 => 0101101
[6,3,1,8,4,5,2,7] => 1101010 => 0101011 => 1010100
[2,1,4,7,5,8,6,3] => 1001011 => 1101001 => 0010110
[7,6,2,4,8,3,1,5] => 1100110 => 0110011 => 1001100
[6,5,8,1,4,3,7,2] => 1010101 => 1010101 => 0101010
[8,1,4,2,7,5,6,3] => 1010101 => 1010101 => 0101010
[9,3,4,5,6,7,1,2,10,8] => 100001001 => 100100001 => 011011110
[1,7,2,8,3,9,4,10,5,6] => 010101010 => 010101010 => 101010101
[1,7,2,8,3,9,10,4,5,6] => 010100100 => 001001010 => 110110101
[1,7,2,8,9,3,4,10,5,6] => 010010010 => 010010010 => 101101101
[1,7,2,8,9,3,10,4,5,6] => 010010100 => 001010010 => 110101101
[1,7,2,8,9,10,3,4,5,6] => 010001000 => 000100010 => 111011101
[1,7,8,2,3,9,4,10,5,6] => 001001010 => 010100100 => 101011011
[1,7,8,2,3,9,10,4,5,6] => 001000100 => 001000100 => 110111011
[1,7,8,2,9,3,4,10,5,6] => 001010010 => 010010100 => 101101011
[1,7,8,2,9,3,10,4,5,6] => 001010100 => 001010100 => 110101011
[1,7,8,2,9,10,3,4,5,6] => 001001000 => 000100100 => 111011011
[1,7,8,9,2,3,4,10,5,6] => 000100010 => 010001000 => 101110111
[1,7,8,9,2,3,10,4,5,6] => 000100100 => 001001000 => 110110111
[1,7,8,9,2,10,3,4,5,6] => 000101000 => 000101000 => 111010111
[7,1,2,8,3,9,4,10,5,6] => 100101010 => 010101001 => 101010110
[7,1,2,8,3,9,10,4,5,6] => 100100100 => 001001001 => 110110110
[7,1,2,8,9,3,4,10,5,6] => 100010010 => 010010001 => 101101110
[7,1,2,8,9,3,10,4,5,6] => 100010100 => 001010001 => 110101110
[7,1,2,8,9,10,3,4,5,6] => 100001000 => 000100001 => 111011110
[7,1,8,2,3,9,4,10,5,6] => 101001010 => 010100101 => 101011010
[7,1,8,2,3,9,10,4,5,6] => 101000100 => 001000101 => 110111010
[7,1,8,2,9,3,4,10,5,6] => 101010010 => 010010101 => 101101010
[7,1,8,2,9,10,3,4,5,6] => 101001000 => 000100101 => 111011010
[7,1,8,9,2,3,4,10,5,6] => 100100010 => 010001001 => 101110110
[7,1,8,9,2,3,10,4,5,6] => 100100100 => 001001001 => 110110110
[7,1,8,9,2,10,3,4,5,6] => 100101000 => 000101001 => 111010110
[7,1,8,9,10,2,3,4,5,6] => 100010000 => 000010001 => 111101110
[7,8,1,2,3,9,4,10,5,6] => 010001010 => 010100010 => 101011101
[7,8,1,2,3,9,10,4,5,6] => 010000100 => 001000010 => 110111101
[7,8,1,2,9,3,4,10,5,6] => 010010010 => 010010010 => 101101101
[7,8,1,2,9,3,10,4,5,6] => 010010100 => 001010010 => 110101101
[7,8,1,2,9,10,3,4,5,6] => 010001000 => 000100010 => 111011101
[7,8,1,9,2,3,4,10,5,6] => 010100010 => 010001010 => 101110101
[7,8,1,9,2,3,10,4,5,6] => 010100100 => 001001010 => 110110101
[7,8,1,9,2,10,3,4,5,6] => 010101000 => 000101010 => 111010101
[7,8,1,9,10,2,3,4,5,6] => 010010000 => 000010010 => 111101101
[7,8,9,1,2,3,4,10,5,6] => 001000010 => 010000100 => 101111011
[7,8,9,1,2,3,10,4,5,6] => 001000100 => 001000100 => 110111011
[7,8,9,1,2,10,3,4,5,6] => 001001000 => 000100100 => 111011011
[7,8,9,1,10,2,3,4,5,6] => 001010000 => 000010100 => 111101011
[1,8,2,9,3,10,4,11,5,12,6,7] => 01010101010 => 01010101010 => 10101010101
[1,8,2,9,3,10,11,12,4,5,6,7] => 01010001000 => 00010001010 => 11101110101
[1,8,2,9,10,3,11,12,4,5,6,7] => 01001001000 => 00010010010 => 11101101101
[1,8,2,9,10,11,3,4,5,12,6,7] => 01000100010 => 01000100010 => 10111011101
[1,8,2,9,10,11,3,12,4,5,6,7] => 01000101000 => 00010100010 => 11101011101
[1,8,2,9,10,11,12,3,4,5,6,7] => 01000010000 => 00001000010 => 11110111101
[1,8,9,2,3,10,11,12,4,5,6,7] => 00100001000 => 00010000100 => 11101111011
[1,8,9,2,10,3,11,4,12,5,6,7] => 00101010100 => 00101010100 => 11010101011
[1,8,9,2,10,3,11,12,4,5,6,7] => 00101001000 => 00010010100 => 11101101011
[1,8,9,2,10,11,3,12,4,5,6,7] => 00100101000 => 00010100100 => 11101011011
[1,8,9,2,10,11,12,3,4,5,6,7] => 00100010000 => 00001000100 => 11110111011
[1,8,9,10,2,3,4,11,5,12,6,7] => 00010001010 => 01010001000 => 10101110111
[1,8,9,10,2,3,4,11,12,5,6,7] => 00010000100 => 00100001000 => 11011110111
[1,8,9,10,2,3,11,4,5,12,6,7] => 00010010010 => 01001001000 => 10110110111
[1,8,9,10,2,3,11,4,12,5,6,7] => 00010010100 => 00101001000 => 11010110111
[1,8,9,10,2,3,11,12,4,5,6,7] => 00010001000 => 00010001000 => 11101110111
[1,8,9,10,2,11,3,4,5,12,6,7] => 00010100010 => 01000101000 => 10111010111
[1,8,9,10,2,11,3,4,12,5,6,7] => 00010100100 => 00100101000 => 11011010111
[1,8,9,10,2,11,3,12,4,5,6,7] => 00010101000 => 00010101000 => 11101010111
[1,8,9,10,2,11,12,3,4,5,6,7] => 00010010000 => 00001001000 => 11110110111
[1,8,9,10,11,2,3,4,5,12,6,7] => 00001000010 => 01000010000 => 10111101111
[1,8,9,10,11,2,3,4,12,5,6,7] => 00001000100 => 00100010000 => 11011101111
[1,8,9,10,11,2,3,12,4,5,6,7] => 00001001000 => 00010010000 => 11101101111
[1,8,9,10,11,12,2,3,4,5,6,7] => 00000100000 => 00000100000 => 11111011111
[8,1,2,9,3,10,11,12,4,5,6,7] => 10010001000 => 00010001001 => 11101110110
[8,1,2,9,10,3,4,11,5,12,6,7] => 10001001010 => 01010010001 => 10101101110
[8,1,2,9,10,3,4,11,12,5,6,7] => 10001000100 => 00100010001 => 11011101110
[8,1,2,9,10,3,11,4,5,12,6,7] => 10001010010 => 01001010001 => 10110101110
[8,1,2,9,10,3,11,4,12,5,6,7] => 10001010100 => 00101010001 => 11010101110
[8,1,2,9,10,3,11,12,4,5,6,7] => 10001001000 => 00010010001 => 11101101110
[8,1,2,9,10,11,3,4,5,12,6,7] => 10000100010 => 01000100001 => 10111011110
[8,1,2,9,10,11,3,4,12,5,6,7] => 10000100100 => 00100100001 => 11011011110
[8,1,2,9,10,11,3,12,4,5,6,7] => 10000101000 => 00010100001 => 11101011110
[8,1,2,9,10,11,12,3,4,5,6,7] => 10000010000 => 00001000001 => 11110111110
[8,1,9,2,3,10,11,4,12,5,6,7] => 10100010100 => 00101000101 => 11010111010
[8,1,9,2,3,10,11,12,4,5,6,7] => 10100001000 => 00010000101 => 11101111010
[8,1,9,2,10,3,4,11,12,5,6,7] => 10101000100 => 00100010101 => 11011101010
[8,1,9,2,10,3,11,4,12,5,6,7] => 10101010100 => 00101010101 => 11010101010
[8,1,9,2,10,3,11,12,4,5,6,7] => 10101001000 => 00010010101 => 11101101010
[8,1,9,2,10,11,3,12,4,5,6,7] => 10100101000 => 00010100101 => 11101011010
[8,1,9,2,10,11,12,3,4,5,6,7] => 10100010000 => 00001000101 => 11110111010
[8,1,9,10,2,3,11,12,4,5,6,7] => 10010001000 => 00010001001 => 11101110110
[8,1,9,10,2,11,3,12,4,5,6,7] => 10010101000 => 00010101001 => 11101010110
[8,1,9,10,2,11,12,3,4,5,6,7] => 10010010000 => 00001001001 => 11110110110
[8,1,9,10,11,2,3,4,5,12,6,7] => 10001000010 => 01000010001 => 10111101110
[8,1,9,10,11,2,3,4,12,5,6,7] => 10001000100 => 00100010001 => 11011101110
[8,1,9,10,11,2,3,12,4,5,6,7] => 10001001000 => 00010010001 => 11101101110
[8,1,9,10,11,2,12,3,4,5,6,7] => 10001010000 => 00001010001 => 11110101110
[8,1,9,10,11,12,2,3,4,5,6,7] => 10000100000 => 00000100001 => 11111011110
[8,9,1,2,3,10,4,11,5,12,6,7] => 01000101010 => 01010100010 => 10101011101
[8,9,1,2,3,10,11,12,4,5,6,7] => 01000001000 => 00010000010 => 11101111101
[8,9,1,2,10,3,11,12,4,5,6,7] => 01001001000 => 00010010010 => 11101101101
[8,9,1,2,10,11,3,4,5,12,6,7] => 01000100010 => 01000100010 => 10111011101
[8,9,1,2,10,11,3,12,4,5,6,7] => 01000101000 => 00010100010 => 11101011101
[8,9,1,2,10,11,12,3,4,5,6,7] => 01000010000 => 00001000010 => 11110111101
[8,9,1,10,2,3,4,11,5,12,6,7] => 01010001010 => 01010001010 => 10101110101
[8,9,1,10,2,3,11,12,4,5,6,7] => 01010001000 => 00010001010 => 11101110101
[8,9,1,10,2,11,3,4,5,12,6,7] => 01010100010 => 01000101010 => 10111010101
[8,9,1,10,2,11,3,12,4,5,6,7] => 01010101000 => 00010101010 => 11101010101
[8,9,1,10,2,11,12,3,4,5,6,7] => 01010010000 => 00001001010 => 11110110101
[8,9,1,10,11,2,3,12,4,5,6,7] => 01001001000 => 00010010010 => 11101101101
[8,9,1,10,11,2,12,3,4,5,6,7] => 01001010000 => 00001010010 => 11110101101
[8,9,1,10,11,12,2,3,4,5,6,7] => 01000100000 => 00000100010 => 11111011101
[8,9,10,1,2,3,11,12,4,5,6,7] => 00100001000 => 00010000100 => 11101111011
[8,9,10,1,2,11,3,12,4,5,6,7] => 00100101000 => 00010100100 => 11101011011
[8,9,10,1,2,11,12,3,4,5,6,7] => 00100010000 => 00001000100 => 11110111011
[8,9,10,1,11,2,3,12,4,5,6,7] => 00101001000 => 00010010100 => 11101101011
[8,9,10,1,11,2,12,3,4,5,6,7] => 00101010000 => 00001010100 => 11110101011
[8,9,10,1,11,12,2,3,4,5,6,7] => 00100100000 => 00000100100 => 11111011011
[8,9,10,11,1,2,3,4,5,12,6,7] => 00010000010 => 01000001000 => 10111110111
[8,9,10,11,1,2,3,4,12,5,6,7] => 00010000100 => 00100001000 => 11011110111
[8,9,10,11,1,2,3,12,4,5,6,7] => 00010001000 => 00010001000 => 11101110111
[8,9,10,11,1,2,12,3,4,5,6,7] => 00010010000 => 00001001000 => 11110110111
[8,9,10,11,1,12,2,3,4,5,6,7] => 00010100000 => 00000101000 => 11111010111
[8,9,10,11,12,1,2,3,4,5,6,7] => 00001000000 => 00000010000 => 11111101111
[8,6,3,5,2,1,7,4] => 1101101 => 1011011 => 0100100
[6,8,3,1,2,5,4,7] => 0110010 => 0100110 => 1011001
[5,8,6,4,7,1,2,3] => 0110100 => 0010110 => 1101001
[2,5,1,8,7,3,4,6] => 0101100 => 0011010 => 1100101
[7,2,4,3,8,6,1,5] => 1010110 => 0110101 => 1001010
[1,7,6,5,4,3,2,9,8] => 01111101 => 10111110 => 01000001
[6,8,4,3,5,1,7,2] => 0110101 => 1010110 => 0101001
[1,4,7,3,6,8,2,5] => 0010010 => 0100100 => 1011011
[3,7,1,4,6,8,2,5] => 0100010 => 0100010 => 1011101
[2,4,7,3,6,8,1,5] => 0010010 => 0100100 => 1011011
[8,5,7,6,1,3,2,4] => 1011010 => 0101101 => 1010010
[2,7,5,6,1,8,4,3] => 0101011 => 1101010 => 0010101
[1,2,6,7,4,5,8,3] => 0001001 => 1001000 => 0110111
[6,5,2,8,7,1,4,3] => 1101101 => 1011011 => 0100100
[7,2,3,6,8,1,4,5] => 1000100 => 0010001 => 1101110
[2,6,1,3,8,5,4,7] => 0100110 => 0110010 => 1001101
[6,4,1,8,3,2,5,7] => 1101100 => 0011011 => 1100100
[5,8,1,4,2,7,3,6] => 0101010 => 0101010 => 1010101
[2,3,1,6,8,7,4,5] => 0100110 => 0110010 => 1001101
[6,4,8,2,1,7,3,5] => 1011010 => 0101101 => 1010010
[2,3,1,8,7,5,6,4] => 0101101 => 1011010 => 0100101
[1,5,6,7,2,4,3,8] => 0001010 => 0101000 => 1010111
[2,8,6,4,1,5,3,7] => 0111010 => 0101110 => 1010001
[1,5,7,3,6,2,4,8] => 0010100 => 0010100 => 1101011
[6,7,4,5,1,3,8,2] => 0101001 => 1001010 => 0110101
[1,6,5,3,8,2,4,7] => 0110100 => 0010110 => 1101001
[5,6,1,2,4,8,3,7] => 0100010 => 0100010 => 1011101
[8,7,4,5,1,3,2,6] => 1101010 => 0101011 => 1010100
[8,5,1,2,7,4,3,6] => 1100110 => 0110011 => 1001100
[4,1,8,7,2,5,3,6] => 1011010 => 0101101 => 1010010
[2,6,3,8,4,1,7,5] => 0101101 => 1011010 => 0100101
[3,2,4,6,1,8,7,5] => 1001011 => 1101001 => 0010110
[3,6,7,4,1,2,5,8] => 0011000 => 0001100 => 1110011
[1,4,7,5,8,2,3,6] => 0010100 => 0010100 => 1101011
[1,6,8,4,7,3,2,5] => 0010110 => 0110100 => 1001011
[3,6,7,5,4,8,1,2] => 0011010 => 0101100 => 1010011
[4,5,7,2,6,3,8,1] => 0010101 => 1010100 => 0101011
[2,1,5,7,4,6,8,3] => 1001001 => 1001001 => 0110110
[2,3,5,7,8,1,6,4] => 0000101 => 1010000 => 0101111
[1,5,7,4,2,3,6,8] => 0011000 => 0001100 => 1110011
[2,4,7,5,3,6,8,1] => 0011001 => 1001100 => 0110011
[8,1,7,2,4,6,3,5] => 1010010 => 0100101 => 1011010
[1,2,4,7,8,6,3,5] => 0000110 => 0110000 => 1001111
[1,3,6,2,5,8,4,7] => 0010010 => 0100100 => 1011011
[1,5,3,6,8,2,4,7] => 0100100 => 0010010 => 1101101
[4,8,1,2,6,3,7,5] => 0100101 => 1010010 => 0101101
[5,8,1,2,6,3,7,4] => 0100101 => 1010010 => 0101101
[1,6,2,3,7,5,8,4] => 0100101 => 1010010 => 0101101
[4,1,2,6,5,7,8,3] => 1001001 => 1001001 => 0110110
[1,8,4,2,7,3,6,5] => 0110101 => 1010110 => 0101001
[1,7,5,2,3,8,6,4] => 0110011 => 1100110 => 0011001
[8,1,4,7,3,5,2,6] => 1001010 => 0101001 => 1010110
[8,4,3,6,1,7,2,5] => 1101010 => 0101011 => 1010100
[2,6,1,8,3,7,4,5] => 0101010 => 0101010 => 1010101
[8,4,2,1,3,7,5,6] => 1110010 => 0100111 => 1011000
[2,5,1,7,6,8,3,4] => 0101010 => 0101010 => 1010101
[5,3,1,8,2,4,7,6] => 1101001 => 1001011 => 0110100
[1,2,6,3,7,5,8,4] => 0010101 => 1010100 => 0101011
[5,1,8,3,2,4,7,6] => 1011001 => 1001101 => 0110010
[3,1,5,4,6,7,8,2] => 1010001 => 1000101 => 0111010
[2,8,5,7,3,1,4,6] => 0101100 => 0011010 => 1100101
[2,6,8,7,3,1,4,5] => 0011100 => 0011100 => 1100011
[7,4,2,1,3,8,5,6] => 1110010 => 0100111 => 1011000
[7,2,1,3,8,5,4,6] => 1100110 => 0110011 => 1001100
[2,1,7,3,8,6,4,5] => 1010110 => 0110101 => 1001010
[1,7,5,3,2,4,8,6] => 0111001 => 1001110 => 0110001
[1,4,2,7,6,5,8,3] => 0101101 => 1011010 => 0100101
[3,4,1,6,5,7,8,2] => 0101001 => 1001010 => 0110101
[2,8,7,3,4,1,5,6] => 0110100 => 0010110 => 1101001
[5,7,6,2,3,8,1,4] => 0110010 => 0100110 => 1011001
[4,5,7,6,2,8,1,3] => 0011010 => 0101100 => 1010011
[3,1,8,7,5,2,6,4] => 1011101 => 1011101 => 0100010
[4,5,6,8,7,2,1,3] => 0001110 => 0111000 => 1000111
[2,8,3,1,5,4,7,6] => 0110101 => 1010110 => 0101001
[3,8,4,1,5,2,7,6] => 0110101 => 1010110 => 0101001
[5,1,7,8,3,2,6,4] => 1001101 => 1011001 => 0100110
[1,8,6,2,4,3,7,5] => 0110101 => 1010110 => 0101001
[4,8,3,1,6,2,7,5] => 0110101 => 1010110 => 0101001
[2,8,3,1,6,4,7,5] => 0110101 => 1010110 => 0101001
[6,2,7,1,5,8,4,3] => 1010011 => 1100101 => 0011010
[1,7,8,9,6,5,4,3,2] => 00011111 => 11111000 => 00000111
[1,6,7,8,9,5,4,3,2] => 00001111 => 11110000 => 00001111
[1,5,6,7,8,9,4,3,2] => 00000111 => 11100000 => 00011111
[1,4,5,6,7,8,9,3,2] => 00000011 => 11000000 => 00111111
[1,8,9,10,7,6,5,4,3,2] => 000111111 => 111111000 => 000000111
[1,7,6,8,9,5,4,3,2] => 01001111 => 11110010 => 00001101
[1,7,8,9,10,6,5,4,3,2] => 000011111 => 111110000 => 000001111
[1,6,5,7,8,9,4,3,2] => 01000111 => 11100010 => 00011101
[1,6,7,8,9,10,5,4,3,2] => 000001111 => 111100000 => 000011111
[1,5,4,6,7,8,9,3,2] => 01000011 => 11000010 => 00111101
[1,5,6,7,8,9,10,4,3,2] => 000000111 => 111000000 => 000111111
[1,4,5,6,7,8,9,10,3,2] => 000000011 => 110000000 => 001111111
[4,8,5,1,3,2,6,7] => 0110100 => 0010110 => 1101001
[5,4,3,1,2,7,6,8] => 1110010 => 0100111 => 1011000
[4,1,6,5,2,3,7,8] => 1011000 => 0001101 => 1110010
[7,1,5,2,3,6,4,8] => 1010010 => 0100101 => 1011010
[4,1,6,3,7,2,5,8] => 1010100 => 0010101 => 1101010
[4,6,1,2,8,3,7,5] => 0100101 => 1010010 => 0101101
[4,1,3,6,7,2,5,8] => 1000100 => 0010001 => 1101110
[2,6,5,1,3,4,7,8] => 0110000 => 0000110 => 1111001
[2,6,7,4,3,1,5,8] => 0011100 => 0011100 => 1100011
[2,6,3,1,7,4,5,8] => 0110100 => 0010110 => 1101001
[6,5,3,7,2,4,1,8] => 1101010 => 0101011 => 1010100
[2,3,6,7,1,5,4,8] => 0001010 => 0101000 => 1010111
[2,7,5,8,1,3,6,4] => 0101001 => 1001010 => 0110101
[5,1,6,7,3,2,4,8] => 1001100 => 0011001 => 1100110
[5,6,1,4,7,2,3,8] => 0100100 => 0010010 => 1101101
[1,2,5,7,8,6,3,4] => 0000110 => 0110000 => 1001111
[1,2,6,7,4,5,3,8] => 0001010 => 0101000 => 1010111
[1,2,7,8,4,6,3,5] => 0001010 => 0101000 => 1010111
[8,6,5,2,1,7,4,3] => 1111011 => 1101111 => 0010000
[4,3,8,6,7,1,5,2] => 1010101 => 1010101 => 0101010
[8,3,2,4,7,1,6,5] => 1100101 => 1010011 => 0101100
[7,3,2,8,6,1,5,4] => 1101101 => 1011011 => 0100100
[7,5,8,2,6,1,4,3] => 1010101 => 1010101 => 0101010
[7,4,1,2,6,5,8,3] => 1100101 => 1010011 => 0101100
[5,2,7,4,6,1,8,3] => 1010101 => 1010101 => 0101010
[7,4,1,2,3,6,8,5] => 1100001 => 1000011 => 0111100
[5,4,8,6,3,2,1,7] => 1011110 => 0111101 => 1000010
[8,4,6,7,3,1,5,2] => 1001101 => 1011001 => 0100110
[4,6,8,5,1,2,7,3] => 0011001 => 1001100 => 0110011
[4,1,3,6,8,5,2,7] => 1000110 => 0110001 => 1001110
[6,3,5,7,1,2,8,4] => 1001001 => 1001001 => 0110110
[1,8,5,3,2,4,6,7] => 0111000 => 0001110 => 1110001
[1,6,7,3,4,2,5,8] => 0010100 => 0010100 => 1101011
[1,6,8,3,4,2,5,7] => 0010100 => 0010100 => 1101011
[1,8,7,5,3,4,2,6] => 0111010 => 0101110 => 1010001
[1,7,8,5,3,4,2,6] => 0011010 => 0101100 => 1010011
[1,7,6,8,4,2,3,5] => 0101100 => 0011010 => 1100101
[1,7,8,6,4,3,2,5] => 0011110 => 0111100 => 1000011
[9,8,7,6,5,2,1,3,4] => 11111100 => 00111111 => 11000000
[9,8,6,4,7,2,5,1,3] => 11101010 => 01010111 => 10101000
[7,2,8,9,10,1,3,4,5,6] => 100010000 => 000010001 => 111101110
[9,7,8,6,5,4,3,2,1] => 10111111 => 11111101 => 00000010
[5,1,7,8,4,2,3,6] => 1001100 => 0011001 => 1100110
[3,8,2,1,6,7,5,4] => 0110011 => 1100110 => 0011001
[2,8,3,1,7,5,6,4] => 0110101 => 1010110 => 0101001
[8,5,6,2,1,4,7,3] => 1011001 => 1001101 => 0110010
[9,10,6,4,2,1,3,5,8,7] => 011110001 => 100011110 => 011100001
[10,7,8,4,2,1,3,6,5,9] => 101110010 => 010011101 => 101100010
[9,7,10,4,2,1,3,6,8,5] => 101110001 => 100011101 => 011100010
[8,9,10,4,2,1,3,7,6,5] => 001110011 => 110011100 => 001100011
[10,8,5,6,2,1,4,3,7,9] => 110110100 => 001011011 => 110100100
[9,10,5,6,2,1,4,3,8,7] => 010110101 => 101011010 => 010100101
[10,7,5,8,2,1,4,6,3,9] => 110110010 => 010011011 => 101100100
[9,7,5,10,2,1,4,6,8,3] => 110110001 => 100011011 => 011100100
[8,9,5,10,2,1,4,7,6,3] => 010110011 => 110011010 => 001100101
[10,6,7,8,2,1,5,4,3,9] => 100110110 => 011011001 => 100100110
[9,6,7,10,2,1,5,4,8,3] => 100110101 => 101011001 => 010100110
[8,6,9,10,2,1,5,7,4,3] => 100110011 => 110011001 => 001100110
[7,8,9,10,2,1,6,5,4,3] => 000110111 => 111011000 => 000100111
[10,8,6,3,4,2,1,5,7,9] => 111011000 => 000110111 => 111001000
[9,10,6,3,4,2,1,5,8,7] => 011011001 => 100110110 => 011001001
[10,7,8,3,4,2,1,6,5,9] => 101011010 => 010110101 => 101001010
[9,7,10,3,4,2,1,6,8,5] => 101011001 => 100110101 => 011001010
[8,9,10,3,4,2,1,7,6,5] => 001011011 => 110110100 => 001001011
[10,8,5,3,6,2,4,1,7,9] => 111010100 => 001010111 => 110101000
[9,10,5,3,6,2,4,1,8,7] => 011010101 => 101010110 => 010101001
[10,7,5,3,8,2,4,6,1,9] => 111010010 => 010010111 => 101101000
[9,7,5,3,10,2,4,6,8,1] => 111010001 => 100010111 => 011101000
[8,9,5,3,10,2,4,7,6,1] => 011010011 => 110010110 => 001101001
[10,6,7,3,8,2,5,4,1,9] => 101010110 => 011010101 => 100101010
[9,6,7,3,10,2,5,4,8,1] => 101010101 => 101010101 => 010101010
[8,6,9,3,10,2,5,7,4,1] => 101010011 => 110010101 => 001101010
[7,8,9,3,10,2,6,5,4,1] => 001010111 => 111010100 => 000101011
[10,8,4,5,6,3,2,1,7,9] => 110011100 => 001110011 => 110001100
[9,10,4,5,6,3,2,1,8,7] => 010011101 => 101110010 => 010001101
[10,7,4,5,8,3,2,6,1,9] => 110011010 => 010110011 => 101001100
[9,7,4,5,10,3,2,6,8,1] => 110011001 => 100110011 => 011001100
[8,9,4,5,10,3,2,7,6,1] => 010011011 => 110110010 => 001001101
[10,6,4,7,8,3,5,2,1,9] => 110010110 => 011010011 => 100101100
[9,6,4,7,10,3,5,2,8,1] => 110010101 => 101010011 => 010101100
[8,6,4,9,10,3,5,7,2,1] => 110010011 => 110010011 => 001101100
[7,8,4,9,10,3,6,5,2,1] => 010010111 => 111010010 => 000101101
[10,5,6,7,8,4,3,2,1,9] => 100011110 => 011110001 => 100001110
[9,5,6,7,10,4,3,2,8,1] => 100011101 => 101110001 => 010001110
[8,5,6,9,10,4,3,7,2,1] => 100011011 => 110110001 => 001001110
[7,5,8,9,10,4,6,3,2,1] => 100010111 => 111010001 => 000101110
[12,10,8,6,4,2,1,3,5,7,9,11] => 11111100000 => 00000111111 => 11111000000
[12,9,10,6,4,2,1,3,5,8,7,11] => 10111100010 => 01000111101 => 10111000010
[11,9,12,6,4,2,1,3,5,8,10,7] => 10111100001 => 10000111101 => 01111000010
[12,10,7,8,4,2,1,3,6,5,9,11] => 11011100100 => 00100111011 => 11011000100
[12,9,7,10,4,2,1,3,6,8,5,11] => 11011100010 => 01000111011 => 10111000100
[11,9,7,12,4,2,1,3,6,8,10,5] => 11011100001 => 10000111011 => 01111000100
[9,10,11,12,4,2,1,3,8,7,6,5] => 00011100111 => 11100111000 => 00011000111
[12,10,8,5,6,2,1,4,3,7,9,11] => 11101101000 => 00010110111 => 11101001000
[11,9,12,5,6,2,1,4,3,8,10,7] => 10101101001 => 10010110101 => 01101001010
[10,11,12,5,6,2,1,4,3,9,8,7] => 00101101011 => 11010110100 => 00101001011
[12,10,7,5,8,2,1,4,6,3,9,11] => 11101100100 => 00100110111 => 11011001000
[12,9,7,5,10,2,1,4,6,8,3,11] => 11101100010 => 01000110111 => 10111001000
[11,9,7,5,12,2,1,4,6,8,10,3] => 11101100001 => 10000110111 => 01111001000
[11,8,9,5,12,2,1,4,7,6,10,3] => 10101100101 => 10100110101 => 01011001010
[9,10,11,5,12,2,1,4,8,7,6,3] => 00101100111 => 11100110100 => 00011001011
[12,10,6,7,8,2,1,5,4,3,9,11] => 11001101100 => 00110110011 => 11001001100
[11,12,6,7,8,2,1,5,4,3,10,9] => 01001101101 => 10110110010 => 01001001101
[11,9,6,7,12,2,1,5,4,8,10,3] => 11001101001 => 10010110011 => 01101001100
[10,11,6,7,12,2,1,5,4,9,8,3] => 01001101011 => 11010110010 => 00101001101
[12,8,6,9,10,2,1,5,7,4,3,11] => 11001100110 => 01100110011 => 10011001100
[11,8,6,9,12,2,1,5,7,4,10,3] => 11001100101 => 10100110011 => 01011001100
[9,10,6,11,12,2,1,5,8,7,4,3] => 01001100111 => 11100110010 => 00011001101
[11,7,8,9,12,2,1,6,5,4,10,3] => 10001101101 => 10110110001 => 01001001110
[10,7,8,11,12,2,1,6,5,9,4,3] => 10001101011 => 11010110001 => 00101001110
[9,7,10,11,12,2,1,6,8,5,4,3] => 10001100111 => 11100110001 => 00011001110
[8,9,10,11,12,2,1,7,6,5,4,3] => 00001101111 => 11110110000 => 00001001111
[12,10,8,6,3,4,2,1,5,7,9,11] => 11110110000 => 00001101111 => 11110010000
[11,9,12,6,3,4,2,1,5,8,10,7] => 10110110001 => 10001101101 => 01110010010
[10,11,12,6,3,4,2,1,5,9,8,7] => 00110110011 => 11001101100 => 00110010011
[12,10,7,8,3,4,2,1,6,5,9,11] => 11010110100 => 00101101011 => 11010010100
[11,12,7,8,3,4,2,1,6,5,10,9] => 01010110101 => 10101101010 => 01010010101
[12,9,7,10,3,4,2,1,6,8,5,11] => 11010110010 => 01001101011 => 10110010100
[11,9,7,12,3,4,2,1,6,8,10,5] => 11010110001 => 10001101011 => 01110010100
[10,11,7,12,3,4,2,1,6,9,8,5] => 01010110011 => 11001101010 => 00110010101
[11,8,9,12,3,4,2,1,7,6,10,5] => 10010110101 => 10101101001 => 01010010110
[10,8,11,12,3,4,2,1,7,9,6,5] => 10010110011 => 11001101001 => 00110010110
[9,10,11,12,3,4,2,1,8,7,6,5] => 00010110111 => 11101101000 => 00010010111
[12,10,8,5,3,6,2,4,1,7,9,11] => 11110101000 => 00010101111 => 11101010000
[11,12,8,5,3,6,2,4,1,7,10,9] => 01110101001 => 10010101110 => 01101010001
[11,9,12,5,3,6,2,4,1,8,10,7] => 10110101001 => 10010101101 => 01101010010
[10,11,12,5,3,6,2,4,1,9,8,7] => 00110101011 => 11010101100 => 00101010011
[12,10,7,5,3,8,2,4,6,1,9,11] => 11110100100 => 00100101111 => 11011010000
[12,9,7,5,3,10,2,4,6,8,1,11] => 11110100010 => 01000101111 => 10111010000
[11,9,7,5,3,12,2,4,6,8,10,1] => 11110100001 => 10000101111 => 01111010000
[10,11,7,5,3,12,2,4,6,9,8,1] => 01110100011 => 11000101110 => 00111010001
[11,8,9,5,3,12,2,4,7,6,10,1] => 10110100101 => 10100101101 => 01011010010
[9,10,11,5,3,12,2,4,8,7,6,1] => 00110100111 => 11100101100 => 00011010011
[12,10,6,7,3,8,2,5,4,1,9,11] => 11010101100 => 00110101011 => 11001010100
[11,12,6,7,3,8,2,5,4,1,10,9] => 01010101101 => 10110101010 => 01001010101
[12,9,6,7,3,10,2,5,4,8,1,11] => 11010101010 => 01010101011 => 10101010100
[11,9,6,7,3,12,2,5,4,8,10,1] => 11010101001 => 10010101011 => 01101010100
[10,11,6,7,3,12,2,5,4,9,8,1] => 01010101011 => 11010101010 => 00101010101
[11,8,6,9,3,12,2,5,7,4,10,1] => 11010100101 => 10100101011 => 01011010100
[9,10,6,11,3,12,2,5,8,7,4,1] => 01010100111 => 11100101010 => 00011010101
[12,7,8,9,3,10,2,6,5,4,1,11] => 10010101110 => 01110101001 => 10001010110
[11,7,8,9,3,12,2,6,5,4,10,1] => 10010101101 => 10110101001 => 01001010110
[10,7,8,11,3,12,2,6,5,9,4,1] => 10010101011 => 11010101001 => 00101010110
[9,7,10,11,3,12,2,6,8,5,4,1] => 10010100111 => 11100101001 => 00011010110
[8,9,10,11,3,12,2,7,6,5,4,1] => 00010101111 => 11110101000 => 00001010111
[12,10,8,4,5,6,3,2,1,7,9,11] => 11100111000 => 00011100111 => 11100011000
[10,11,12,4,5,6,3,2,1,9,8,7] => 00100111011 => 11011100100 => 00100011011
[12,10,7,4,5,8,3,2,6,1,9,11] => 11100110100 => 00101100111 => 11010011000
[11,12,7,4,5,8,3,2,6,1,10,9] => 01100110101 => 10101100110 => 01010011001
[12,9,7,4,5,10,3,2,6,8,1,11] => 11100110010 => 01001100111 => 10110011000
[11,9,7,4,5,12,3,2,6,8,10,1] => 11100110001 => 10001100111 => 01110011000
[10,11,7,4,5,12,3,2,6,9,8,1] => 01100110011 => 11001100110 => 00110011001
[11,8,9,4,5,12,3,2,7,6,10,1] => 10100110101 => 10101100101 => 01010011010
[10,8,11,4,5,12,3,2,7,9,6,1] => 10100110011 => 11001100101 => 00110011010
[9,10,11,4,5,12,3,2,8,7,6,1] => 00100110111 => 11101100100 => 00010011011
[12,10,6,4,7,8,3,5,2,1,9,11] => 11100101100 => 00110100111 => 11001011000
[11,12,6,4,7,8,3,5,2,1,10,9] => 01100101101 => 10110100110 => 01001011001
[12,9,6,4,7,10,3,5,2,8,1,11] => 11100101010 => 01010100111 => 10101011000
[11,9,6,4,7,12,3,5,2,8,10,1] => 11100101001 => 10010100111 => 01101011000
[10,11,6,4,7,12,3,5,2,9,8,1] => 01100101011 => 11010100110 => 00101011001
[11,8,6,4,9,12,3,5,7,2,10,1] => 11100100101 => 10100100111 => 01011011000
[10,8,6,4,11,12,3,5,7,9,2,1] => 11100100011 => 11000100111 => 00111011000
[9,10,6,4,11,12,3,5,8,7,2,1] => 01100100111 => 11100100110 => 00011011001
[11,7,8,4,9,12,3,6,5,2,10,1] => 10100101101 => 10110100101 => 01001011010
[10,7,8,4,11,12,3,6,5,9,2,1] => 10100101011 => 11010100101 => 00101011010
[9,7,10,4,11,12,3,6,8,5,2,1] => 10100100111 => 11100100101 => 00011011010
[8,9,10,4,11,12,3,7,6,5,2,1] => 00100101111 => 11110100100 => 00001011011
[11,12,5,6,7,8,4,3,2,1,10,9] => 01000111101 => 10111100010 => 01000011101
[10,11,5,6,7,12,4,3,2,9,8,1] => 01000111011 => 11011100010 => 00100011101
[9,10,5,6,11,12,4,3,8,7,2,1] => 01000110111 => 11101100010 => 00010011101
[12,7,5,8,9,10,4,6,3,2,1,11] => 11000101110 => 01110100011 => 10001011100
[8,9,5,10,11,12,4,7,6,3,2,1] => 01000101111 => 11110100010 => 00001011101
[12,6,7,8,9,10,5,4,3,2,1,11] => 10000111110 => 01111100001 => 10000011110
[11,6,7,8,9,12,5,4,3,2,10,1] => 10000111101 => 10111100001 => 01000011110
[10,6,7,8,11,12,5,4,3,9,2,1] => 10000111011 => 11011100001 => 00100011110
[9,6,7,10,11,12,5,4,8,3,2,1] => 10000110111 => 11101100001 => 00010011110
[8,6,9,10,11,12,5,7,4,3,2,1] => 10000101111 => 11110100001 => 00001011110
[2,3,4,5,6,7,8,11,10,1,9] => 0000000110 => 0110000000 => 1001111111
[2,3,4,5,6,7,8,9,12,11,1,10] => 00000000110 => 01100000000 => 10011111111
[11,3,4,5,6,7,8,10,1,2,9] => 1000000100 => 0010000001 => 1101111110
[2,10,4,5,6,7,9,1,3,8] => 010000100 => 001000010 => 110111101
[10,3,4,5,6,7,1,9,2,8] => 100001010 => 010100001 => 101011110
[2,7,4,1,5,8,3,6] => 0110010 => 0100110 => 1011001
[2,1,6,4,7,8,3,5] => 1010010 => 0100101 => 1011010
[5,7,8,3,4,2,1,6] => 0010110 => 0110100 => 1001011
[4,7,5,3,8,2,6,1] => 0110101 => 1010110 => 0101001
[2,6,4,7,8,5,3,1] => 0100111 => 1110010 => 0001101
[7,8,4,5,6,1,3,2] => 0100101 => 1010010 => 0101101
[2,5,1,8,4,6,7,3] => 0101001 => 1001010 => 0110101
[5,2,8,4,6,7,1,3] => 1010010 => 0100101 => 1011010
[6,5,8,3,4,2,1,7] => 1010110 => 0110101 => 1001010
[1,3,5,8,4,6,7,2] => 0001001 => 1001000 => 0110111
[8,2,7,6,3,4,5,1] => 1011001 => 1001101 => 0110010
[6,8,7,3,2,1,4,5] => 0111100 => 0011110 => 1100001
[3,4,8,2,7,1,5,6] => 0010100 => 0010100 => 1101011
[7,2,6,1,4,8,3,5] => 1010010 => 0100101 => 1011010
[7,8,1,2,4,6,3,5] => 0100010 => 0100010 => 1011101
[7,2,8,3,4,5,1,6] => 1010010 => 0100101 => 1011010
[6,1,8,3,4,2,5,7] => 1010100 => 0010101 => 1101010
[7,5,1,2,4,3,8,6] => 1100101 => 1010011 => 0101100
[7,6,8,1,4,2,3,5] => 1010100 => 0010101 => 1101010
[2,4,3,7,8,5,6,1] => 0100101 => 1010010 => 0101101
[2,1,7,6,3,4,5,8] => 1011000 => 0001101 => 1110010
[6,3,5,2,1,8,4,7] => 1011010 => 0101101 => 1010010
[6,1,5,3,8,2,4,7] => 1010100 => 0010101 => 1101010
[2,3,6,8,5,1,7,4] => 0001101 => 1011000 => 0100111
[3,2,4,8,6,1,7,5] => 1001101 => 1011001 => 0100110
[2,1,3,8,4,5,7,6] => 1001001 => 1001001 => 0110110
[3,1,2,8,5,4,7,6] => 1001101 => 1011001 => 0100110
[2,1,3,7,8,4,6,5] => 1000101 => 1010001 => 0101110
[2,1,3,8,4,7,6,5] => 1001011 => 1101001 => 0010110
[3,1,2,8,4,5,7,6] => 1001001 => 1001001 => 0110110
[1,2,8,7,5,4,6,3] => 0011101 => 1011100 => 0100011
[4,6,7,2,3,8,1,5] => 0010010 => 0100100 => 1011011
[3,2,6,5,7,8,1,4] => 1010010 => 0100101 => 1011010
[3,2,7,5,6,8,1,4] => 1010010 => 0100101 => 1011010
[2,1,8,7,4,6,5,3] => 1011011 => 1101101 => 0010010
[6,1,5,8,4,7,3,2] => 1001011 => 1101001 => 0010110
[1,4,6,8,5,7,2,3] => 0001010 => 0101000 => 1010111
[2,4,7,1,8,3,6,5] => 0010101 => 1010100 => 0101011
[6,1,5,4,2,3,8,7] => 1011001 => 1001101 => 0110010
[6,4,5,1,2,8,3,7] => 1010010 => 0100101 => 1011010
[8,4,1,5,7,6,3,2] => 1100111 => 1110011 => 0001100
[8,1,6,3,5,2,4,7] => 1010100 => 0010101 => 1101010
[4,6,2,5,3,8,1,7] => 0101010 => 0101010 => 1010101
[4,6,5,2,1,8,3,7] => 0111010 => 0101110 => 1010001
[5,8,4,3,6,7,2,1] => 0110011 => 1100110 => 0011001
[6,8,2,1,5,3,4,7] => 0110100 => 0010110 => 1101001
[2,5,3,8,6,7,4,1] => 0101011 => 1101010 => 0010101
[3,2,6,5,1,8,4,7] => 1011010 => 0101101 => 1010010
[7,4,5,8,1,6,2,3] => 1001010 => 0101001 => 1010110
[4,5,8,1,6,7,3,2] => 0010011 => 1100100 => 0011011
[5,1,8,4,6,7,3,2] => 1010011 => 1100101 => 0011010
[6,5,3,8,1,7,2,4] => 1101010 => 0101011 => 1010100
[8,3,7,1,6,2,4,5] => 1010100 => 0010101 => 1101010
[8,1,4,6,5,7,2,3] => 1001010 => 0101001 => 1010110
[8,1,7,5,6,4,2,3] => 1010110 => 0110101 => 1001010
[8,6,1,5,3,7,2,4] => 1101010 => 0101011 => 1010100
[7,2,3,6,8,1,5,4] => 1000101 => 1010001 => 0101110
[2,6,3,7,8,1,4,5] => 0100100 => 0010010 => 1101101
[6,3,8,7,2,1,5,4] => 1011101 => 1011101 => 0100010
[7,2,5,6,3,4,8,1] => 1001001 => 1001001 => 0110110
[7,2,8,6,3,1,5,4] => 1011101 => 1011101 => 0100010
[7,2,4,5,8,6,3,1] => 1000111 => 1110001 => 0001110
[6,3,8,4,7,2,5,1] => 1010101 => 1010101 => 0101010
[7,2,3,6,8,5,4,1] => 1000111 => 1110001 => 0001110
[7,2,8,5,4,1,3,6] => 1011100 => 0011101 => 1100010
[7,4,5,2,8,1,6,3] => 1010101 => 1010101 => 0101010
[7,5,4,2,8,1,6,3] => 1110101 => 1010111 => 0101000
[7,6,3,2,8,4,5,1] => 1110101 => 1010111 => 0101000
[7,2,3,6,8,4,5,1] => 1000101 => 1010001 => 0101110
[7,2,5,4,8,3,6,1] => 1010101 => 1010101 => 0101010
[7,2,8,3,6,1,4,5] => 1010100 => 0010101 => 1101010
[7,4,5,2,8,3,6,1] => 1010101 => 1010101 => 0101010
[3,1,6,7,4,5,2,8] => 1001010 => 0101001 => 1010110
[3,1,5,4,7,6,2,8] => 1010110 => 0110101 => 1001010
[7,3,6,8,2,4,5,1] => 1001001 => 1001001 => 0110110
[5,1,3,2,4,6,8,7] => 1010001 => 1000101 => 0111010
[8,4,2,5,1,7,3,6] => 1101010 => 0101011 => 1010100
[6,4,2,5,7,3,8,1] => 1100101 => 1010011 => 0101100
[5,7,8,4,2,3,6,1] => 0011001 => 1001100 => 0110011
[6,4,5,2,8,3,7,1] => 1010101 => 1010101 => 0101010
[6,5,2,4,3,8,7,1] => 1101011 => 1101011 => 0010100
[6,5,3,4,1,8,2,7] => 1101010 => 0101011 => 1010100
[6,4,5,3,8,1,2,7] => 1010100 => 0010101 => 1101010
[5,6,4,8,3,1,2,7] => 0101100 => 0011010 => 1100101
[7,2,4,6,3,8,5,1] => 1001011 => 1101001 => 0010110
[2,8,3,7,6,1,5,4] => 0101101 => 1011010 => 0100101
[5,4,2,6,8,7,3,1] => 1100111 => 1110011 => 0001100
[3,7,2,5,8,6,4,1] => 0100111 => 1110010 => 0001101
[2,4,8,7,6,1,5,3] => 0011101 => 1011100 => 0100011
[3,2,8,7,4,6,5,1] => 1011011 => 1101101 => 0010010
[8,2,6,5,1,4,3,7] => 1011010 => 0101101 => 1010010
[4,8,5,2,7,6,3,1] => 0110111 => 1110110 => 0001001
[2,8,6,5,7,1,3,4] => 0110100 => 0010110 => 1101001
[3,8,4,7,2,1,6,5] => 0101101 => 1011010 => 0100101
[4,8,5,1,7,6,3,2] => 0110111 => 1110110 => 0001001
[5,8,1,7,6,2,3,4] => 0101100 => 0011010 => 1100101
[3,4,6,2,5,7,1,8] => 0010010 => 0100100 => 1011011
[1,7,5,2,6,8,3,4] => 0110010 => 0100110 => 1011001
[5,1,7,2,4,6,3,8] => 1010010 => 0100101 => 1011010
[6,8,2,1,3,4,7,5] => 0110001 => 1000110 => 0111001
[5,2,1,7,6,4,3,8] => 1101110 => 0111011 => 1000100
[7,4,8,3,6,5,1,2] => 1010110 => 0110101 => 1001010
[6,4,8,5,1,7,2,3] => 1011010 => 0101101 => 1010010
[5,2,8,1,3,6,7,4] => 1010001 => 1000101 => 0111010
[6,3,2,7,4,5,8,1] => 1101001 => 1001011 => 0110100
[7,4,3,8,5,6,1,2] => 1101010 => 0101011 => 1010100
[6,2,1,8,7,4,5,3] => 1101101 => 1011011 => 0100100
[6,2,1,8,7,3,5,4] => 1101101 => 1011011 => 0100100
[5,2,1,7,6,3,4,8] => 1101100 => 0011011 => 1100100
[4,2,6,8,5,7,1,3] => 1001010 => 0101001 => 1010110
[8,6,4,3,2,7,5,1] => 1111011 => 1101111 => 0010000
[1,3,4,7,8,2,6,5] => 0000101 => 1010000 => 0101111
[1,5,4,3,8,7,2,6] => 0110110 => 0110110 => 1001001
[1,2,5,8,4,3,6,7] => 0001100 => 0011000 => 1100111
[1,5,8,2,6,4,3,7] => 0010110 => 0110100 => 1001011
[10,9,8,6,4,2,1,3,5,7] => 111111000 => 000111111 => 111000000
[10,8,7,6,4,2,1,3,5,9] => 111111000 => 000111111 => 111000000
[10,7,9,6,4,2,1,3,8,5] => 101111001 => 100111101 => 011000010
[10,9,8,7,6,4,2,1,3,5] => 111111100 => 001111111 => 110000000
[10,8,6,5,4,2,1,3,7,9] => 111111000 => 000111111 => 111000000
[10,9,8,6,5,4,2,1,3,7] => 111111100 => 001111111 => 110000000
[10,8,5,7,4,2,1,6,3,9] => 110111010 => 010111011 => 101000100
[10,5,9,7,4,2,1,6,8,3] => 101111001 => 100111101 => 011000010
[10,9,8,5,7,4,2,1,6,3] => 111011101 => 101110111 => 010001000
[10,8,7,6,5,4,2,1,3,9] => 111111100 => 001111111 => 110000000
[10,7,9,6,5,4,2,1,8,3] => 101111101 => 101111101 => 010000010
[10,6,9,8,5,7,2,1,4,3] => 101101101 => 101101101 => 010010010
[10,8,6,4,3,2,1,5,7,9] => 111111000 => 000111111 => 111000000
[10,9,8,6,4,3,2,1,5,7] => 111111100 => 001111111 => 110000000
[10,8,7,6,4,3,2,1,5,9] => 111111100 => 001111111 => 110000000
[10,7,9,6,4,3,2,1,8,5] => 101111101 => 101111101 => 010000010
[10,8,6,3,5,2,4,1,7,9] => 111010100 => 001010111 => 110101000
[10,9,8,6,3,5,2,4,1,7] => 111101010 => 010101111 => 101010000
[10,8,3,7,5,2,4,6,1,9] => 110110010 => 010011011 => 101100100
[10,3,9,7,5,2,4,6,8,1] => 101110001 => 100011101 => 011100010
[10,9,8,3,7,5,2,4,6,1] => 111011001 => 100110111 => 011001000
[10,8,7,6,3,5,2,4,1,9] => 111101010 => 010101111 => 101010000
[10,7,9,6,3,5,2,4,8,1] => 101101001 => 100101101 => 011010010
[10,9,3,8,6,5,2,7,4,1] => 110111011 => 110111011 => 001000100
[10,9,8,7,6,3,5,2,4,1] => 111110101 => 101011111 => 010100000
[10,8,6,5,4,3,2,1,7,9] => 111111100 => 001111111 => 110000000
[10,8,5,7,4,3,2,6,1,9] => 110111010 => 010111011 => 101000100
[10,5,9,7,4,3,2,6,8,1] => 101111001 => 100111101 => 011000010
[10,9,8,5,7,4,3,2,6,1] => 111011101 => 101110111 => 010001000
[10,8,4,7,6,3,5,2,1,9] => 110110110 => 011011011 => 100100100
[10,4,9,7,6,3,5,2,8,1] => 101110101 => 101011101 => 010100010
[10,4,9,6,8,3,5,7,2,1] => 101010011 => 110010101 => 001101010
[10,9,8,4,7,6,3,5,2,1] => 111011011 => 110110111 => 001001000
[10,7,9,6,5,4,3,2,8,1] => 101111101 => 101111101 => 010000010
[10,6,9,8,5,4,3,7,2,1] => 101111011 => 110111101 => 001000010
[10,5,9,8,7,4,6,3,2,1] => 101110111 => 111011101 => 000100010
[12,11,10,8,6,4,2,1,3,5,7,9] => 11111110000 => 00001111111 => 11110000000
[12,10,9,8,6,4,2,1,3,5,7,11] => 11111110000 => 00001111111 => 11110000000
[12,9,11,8,6,4,2,1,3,5,10,7] => 10111110001 => 10001111101 => 01110000010
[12,11,10,9,8,6,4,2,1,3,5,7] => 11111111000 => 00011111111 => 11100000000
[12,10,8,7,6,4,2,1,3,5,9,11] => 11111110000 => 00001111111 => 11110000000
[12,11,10,8,7,6,4,2,1,3,5,9] => 11111111000 => 00011111111 => 11100000000
[12,7,11,9,6,4,2,1,3,8,10,5] => 10111110001 => 10001111101 => 01110000010
[12,11,10,7,9,6,4,2,1,3,8,5] => 11101111001 => 10011110111 => 01100001000
[12,10,9,8,7,6,4,2,1,3,5,11] => 11111111000 => 00011111111 => 11100000000
[12,9,11,8,7,6,4,2,1,3,10,5] => 10111111001 => 10011111101 => 01100000010
[12,11,10,9,8,7,6,4,2,1,3,5] => 11111111100 => 00111111111 => 11000000000
[12,10,8,6,5,4,2,1,3,7,9,11] => 11111110000 => 00001111111 => 11110000000
[12,11,10,8,6,5,4,2,1,3,7,9] => 11111111000 => 00011111111 => 11100000000
[12,10,9,8,6,5,4,2,1,3,7,11] => 11111111000 => 00011111111 => 11100000000
[12,9,11,8,6,5,4,2,1,3,10,7] => 10111111001 => 10011111101 => 01100000010
[12,11,10,9,8,6,5,4,2,1,3,7] => 11111111100 => 00111111111 => 11000000000
[12,11,10,8,5,7,4,2,1,6,3,9] => 11110111010 => 01011101111 => 10100010000
[12,5,11,9,7,4,2,1,6,8,10,3] => 10111110001 => 10001111101 => 01110000010
[12,11,10,5,9,7,4,2,1,6,8,3] => 11101111001 => 10011110111 => 01100001000
[12,10,9,8,5,7,4,2,1,6,3,11] => 11110111010 => 01011101111 => 10100010000
[12,11,10,9,8,5,7,4,2,1,6,3] => 11111011101 => 10111011111 => 01000100000
[12,10,8,7,6,5,4,2,1,3,9,11] => 11111111000 => 00011111111 => 11100000000
[12,11,10,8,7,6,5,4,2,1,3,9] => 11111111100 => 00111111111 => 11000000000
[12,7,11,9,6,5,4,2,1,8,10,3] => 10111111001 => 10011111101 => 01100000010
[12,11,10,7,9,6,5,4,2,1,8,3] => 11101111101 => 10111110111 => 01000001000
[12,10,9,8,7,6,5,4,2,1,3,11] => 11111111100 => 00111111111 => 11000000000
[12,9,11,8,7,6,5,4,2,1,10,3] => 10111111101 => 10111111101 => 01000000010
[12,7,11,10,9,6,8,5,2,1,4,3] => 10111011101 => 10111011101 => 01000100010
[12,11,10,9,8,7,6,5,4,2,1,3] => 11111111110 => 01111111111 => 10000000000
[12,10,8,6,4,3,2,1,5,7,9,11] => 11111110000 => 00001111111 => 11110000000
[12,11,10,8,6,4,3,2,1,5,7,9] => 11111111000 => 00011111111 => 11100000000
[12,10,9,8,6,4,3,2,1,5,7,11] => 11111111000 => 00011111111 => 11100000000
[12,9,11,8,6,4,3,2,1,5,10,7] => 10111111001 => 10011111101 => 01100000010
[12,11,10,9,8,6,4,3,2,1,5,7] => 11111111100 => 00111111111 => 11000000000
[12,10,8,7,6,4,3,2,1,5,9,11] => 11111111000 => 00011111111 => 11100000000
[12,11,10,8,7,6,4,3,2,1,5,9] => 11111111100 => 00111111111 => 11000000000
[12,7,11,9,6,4,3,2,1,8,10,5] => 10111111001 => 10011111101 => 01100000010
[12,11,10,7,9,6,4,3,2,1,8,5] => 11101111101 => 10111110111 => 01000001000
[12,10,9,8,7,6,4,3,2,1,5,11] => 11111111100 => 00111111111 => 11000000000
[12,9,11,8,7,6,4,3,2,1,10,5] => 10111111101 => 10111111101 => 01000000010
[12,11,10,9,8,7,6,4,3,2,1,5] => 11111111110 => 01111111111 => 10000000000
[12,10,8,6,3,5,2,4,1,7,9,11] => 11110101000 => 00010101111 => 11101010000
[12,9,11,8,6,3,5,2,4,1,10,7] => 10111010101 => 10101011101 => 01010100010
[12,11,10,9,8,6,3,5,2,4,1,7] => 11111101010 => 01010111111 => 10101000000
[12,10,8,3,7,5,2,4,6,1,9,11] => 11101100100 => 00100110111 => 11011001000
[12,10,3,9,7,5,2,4,6,8,1,11] => 11011100010 => 01000111011 => 10111000100
[12,3,11,9,7,5,2,4,6,8,10,1] => 10111100001 => 10000111101 => 01111000010
[12,9,11,8,3,7,5,2,4,6,10,1] => 10110110001 => 10001101101 => 01110010010
[12,11,10,9,8,3,7,5,2,4,6,1] => 11111011001 => 10011011111 => 01100100000
[12,11,10,8,7,6,3,5,2,4,1,9] => 11111101010 => 01010111111 => 10101000000
[12,10,7,9,6,3,5,2,4,8,1,11] => 11011010010 => 01001011011 => 10110100100
[12,7,11,9,6,3,5,2,4,8,10,1] => 10111010001 => 10001011101 => 01110100010
[12,9,11,3,8,6,5,2,7,4,10,1] => 10101110101 => 10101110101 => 01010001010
[12,11,10,9,3,8,6,5,2,7,4,1] => 11110111011 => 11011101111 => 00100010000
[12,10,9,8,7,6,3,5,2,4,1,11] => 11111101010 => 01010111111 => 10101000000
[12,9,11,8,7,6,3,5,2,4,10,1] => 10111101001 => 10010111101 => 01101000010
[12,11,10,3,9,7,6,8,2,5,4,1] => 11101101011 => 11010110111 => 00101001000
[12,11,10,9,8,7,6,3,5,2,4,1] => 11111110101 => 10101111111 => 01010000000
[12,10,8,6,5,4,3,2,1,7,9,11] => 11111111000 => 00011111111 => 11100000000
[12,11,10,8,6,5,4,3,2,1,7,9] => 11111111100 => 00111111111 => 11000000000
[12,10,9,8,6,5,4,3,2,1,7,11] => 11111111100 => 00111111111 => 11000000000
[12,9,11,8,6,5,4,3,2,1,10,7] => 10111111101 => 10111111101 => 01000000010
[12,11,10,9,8,6,5,4,3,2,1,7] => 11111111110 => 01111111111 => 10000000000
[12,11,10,8,5,7,4,3,2,6,1,9] => 11110111010 => 01011101111 => 10100010000
[12,5,11,9,7,4,3,2,6,8,10,1] => 10111110001 => 10001111101 => 01110000010
[12,11,10,5,9,7,4,3,2,6,8,1] => 11101111001 => 10011110111 => 01100001000
[12,10,9,8,5,7,4,3,2,6,1,11] => 11110111010 => 01011101111 => 10100010000
[12,11,10,9,8,5,7,4,3,2,6,1] => 11111011101 => 10111011111 => 01000100000
[12,4,11,9,7,6,3,5,2,8,10,1] => 10111101001 => 10010111101 => 01101000010
[12,11,10,4,9,7,6,3,5,2,8,1] => 11101110101 => 10101110111 => 01010001000
[12,4,11,9,6,8,3,5,7,2,10,1] => 10110100101 => 10100101101 => 01011010010
[12,11,4,10,7,9,6,3,8,5,2,1] => 11010110111 => 11101101011 => 00010010100
[12,10,8,7,6,5,4,3,2,1,9,11] => 11111111100 => 00111111111 => 11000000000
[12,11,10,8,7,6,5,4,3,2,1,9] => 11111111110 => 01111111111 => 10000000000
[12,7,11,9,6,5,4,3,2,8,10,1] => 10111111001 => 10011111101 => 01100000010
[12,11,10,7,9,6,5,4,3,2,8,1] => 11101111101 => 10111110111 => 01000001000
[12,6,11,9,8,5,4,3,7,2,10,1] => 10111110101 => 10101111101 => 01010000010
[12,11,10,6,9,8,5,4,3,7,2,1] => 11101111011 => 11011110111 => 00100001000
[12,11,10,5,9,8,7,4,6,3,2,1] => 11101110111 => 11101110111 => 00010001000
[12,9,11,8,7,6,5,4,3,2,10,1] => 10111111101 => 10111111101 => 01000000010
[12,8,11,10,7,6,5,4,3,9,2,1] => 10111111011 => 11011111101 => 00100000010
[12,7,11,10,9,6,5,4,8,3,2,1] => 10111110111 => 11101111101 => 00010000010
[12,6,11,10,9,8,5,7,4,3,2,1] => 10111101111 => 11110111101 => 00001000010
[3,5,6,2,4,7,8,1] => 0010001 => 1000100 => 0111011
[3,5,6,7,2,4,8,1] => 0001001 => 1001000 => 0110111
[3,5,7,6,8,2,4,1] => 0010101 => 1010100 => 0101011
[3,5,7,2,6,8,4,1] => 0010011 => 1100100 => 0011011
[3,5,2,7,6,8,4,1] => 0101011 => 1101010 => 0010101
[3,5,7,4,2,6,8,1] => 0011001 => 1001100 => 0110011
[3,5,4,7,2,6,8,1] => 0101001 => 1001010 => 0110101
[3,4,5,7,2,6,8,1] => 0001001 => 1001000 => 0110111
[3,4,5,7,2,8,6,1] => 0001011 => 1101000 => 0010111
[3,5,4,7,8,2,6,1] => 0100101 => 1010010 => 0101101
[3,5,4,7,2,8,6,1] => 0101011 => 1101010 => 0010101
[3,2,5,7,4,8,6,1] => 1001011 => 1101001 => 0010110
[3,5,7,4,2,8,6,1] => 0011011 => 1101100 => 0010011
[3,5,7,8,4,2,6,1] => 0001101 => 1011000 => 0100111
[2,3,5,7,8,4,6,1] => 0000101 => 1010000 => 0101111
[3,5,2,7,8,6,4,1] => 0100111 => 1110010 => 0001101
[3,5,7,8,2,6,4,1] => 0001011 => 1101000 => 0010111
[3,5,7,8,6,2,4,1] => 0001101 => 1011000 => 0100111
[3,2,5,6,7,8,9,1,4] => 10000010 => 01000001 => 10111110
[4,2,5,6,7,3,8,1] => 1000101 => 1010001 => 0101110
[4,2,5,6,7,8,9,3,1] => 10000011 => 11000001 => 00111110
[3,2,4,5,6,7,8,9,10,11,1] => 1000000001 => 1000000001 => 0111111110
[8,6,1,4,3,5,2,7] => 1101010 => 0101011 => 1010100
[6,1,8,4,3,5,2,7] => 1011010 => 0101101 => 1010010
[5,1,6,4,8,2,3,7] => 1010100 => 0010101 => 1101010
[8,1,4,2,5,3,6,7] => 1010100 => 0010101 => 1101010
[2,8,4,1,5,3,6,7] => 0110100 => 0010110 => 1101001
[8,4,1,3,5,2,6,7] => 1100100 => 0010011 => 1101100
[4,1,8,3,5,2,6,7] => 1010100 => 0010101 => 1101010
[8,3,1,2,5,4,6,7] => 1100100 => 0010011 => 1101100
[3,1,8,2,5,4,6,7] => 1010100 => 0010101 => 1101010
[4,2,5,1,8,7,6,3] => 1010111 => 1110101 => 0001010
[5,2,4,8,1,7,6,3] => 1001011 => 1101001 => 0010110
[7,3,2,4,6,8,1,5] => 1100010 => 0100011 => 1011100
[1,4,8,6,7,2,5,3] => 0010101 => 1010100 => 0101011
[1,4,5,7,3,8,2,6] => 0001010 => 0101000 => 1010111
[4,6,8,1,2,5,3,7] => 0010010 => 0100100 => 1011011
[3,5,6,8,2,1,4,7] => 0001100 => 0011000 => 1100111
[8,2,5,4,1,3,7,6] => 1011001 => 1001101 => 0110010
[2,4,5,8,6,3,1,7] => 0001110 => 0111000 => 1000111
[5,4,8,2,3,1,7,6] => 1010101 => 1010101 => 0101010
[4,7,5,8,2,3,1,6] => 0101010 => 0101010 => 1010101
[4,6,7,5,1,8,3,2] => 0011011 => 1101100 => 0010011
[1,7,3,6,5,8,2,4] => 0101010 => 0101010 => 1010101
[8,3,4,2,6,7,1,5] => 1010010 => 0100101 => 1011010
[7,5,3,8,6,2,1,4] => 1101110 => 0111011 => 1000100
[7,3,1,8,2,6,5,4] => 1101011 => 1101011 => 0010100
[4,6,7,5,2,8,3,1] => 0011011 => 1101100 => 0010011
[5,8,7,2,4,3,1,6] => 0110110 => 0110110 => 1001001
[5,1,2,8,6,7,3,4] => 1001010 => 0101001 => 1010110
[2,5,7,8,6,1,4,3] => 0001101 => 1011000 => 0100111
[7,2,6,8,4,5,1,3] => 1001010 => 0101001 => 1010110
[5,1,7,6,8,2,3,4] => 1010100 => 0010101 => 1101010
[1,7,6,2,4,3,8,5] => 0110101 => 1010110 => 0101001
[7,1,6,2,4,5,3,8] => 1010010 => 0100101 => 1011010
[5,7,1,6,2,3,4,8] => 0101000 => 0001010 => 1110101
[6,2,5,8,3,4,1,7] => 1001010 => 0101001 => 1010110
[5,6,8,7,1,3,2,4] => 0011010 => 0101100 => 1010011
[1,5,3,4,8,2,6,7] => 0100100 => 0010010 => 1101101
[2,1,3,6,5,8,4,7] => 1001010 => 0101001 => 1010110
[2,8,6,5,7,4,3,1] => 0110111 => 1110110 => 0001001
[2,8,6,5,7,4,1,3] => 0110110 => 0110110 => 1001001
[6,5,2,7,4,3,1,8] => 1101110 => 0111011 => 1000100
[6,5,2,8,4,3,7,1] => 1101101 => 1011011 => 0100100
[7,5,8,3,4,2,1,6] => 1010110 => 0110101 => 1001010
[7,6,8,5,2,4,1,3] => 1011010 => 0101101 => 1010010
[5,3,7,2,4,1,8,6] => 1010101 => 1010101 => 0101010
[5,1,2,8,6,3,7,4] => 1001101 => 1011001 => 0100110
[6,1,5,7,2,4,3,8] => 1001010 => 0101001 => 1010110
[4,1,8,2,6,5,7,3] => 1010101 => 1010101 => 0101010
[6,1,4,7,8,5,3,2] => 1000111 => 1110001 => 0001110
[6,1,5,7,8,4,2,3] => 1000110 => 0110001 => 1001110
[4,6,1,5,7,2,8,3] => 0100101 => 1010010 => 0101101
[2,5,8,4,6,3,7,1] => 0010101 => 1010100 => 0101011
[4,3,7,1,2,6,8,5] => 1010001 => 1000101 => 0111010
[8,1,6,5,2,7,4,3] => 1011011 => 1101101 => 0010010
[6,8,1,5,2,7,4,3] => 0101011 => 1101010 => 0010101
[4,5,8,2,3,7,6,1] => 0010011 => 1100100 => 0011011
[5,6,2,7,4,8,3,1] => 0101011 => 1101010 => 0010101
[1,7,3,2,4,8,6,5] => 0110011 => 1100110 => 0011001
[4,3,1,8,2,6,7,5] => 1101001 => 1001011 => 0110100
[4,8,1,3,2,5,7,6] => 0101001 => 1001010 => 0110101
[1,7,5,3,8,6,2,4] => 0110110 => 0110110 => 1001001
[2,5,3,8,1,4,7,6] => 0101001 => 1001010 => 0110101
[4,2,5,8,1,3,7,6] => 1001001 => 1001001 => 0110110
[8,1,2,4,3,5,7,6] => 1001001 => 1001001 => 0110110
[2,4,3,8,1,5,7,6] => 0101001 => 1001010 => 0110101
[3,1,7,4,8,6,5,2] => 1010111 => 1110101 => 0001010
[6,4,5,3,2,8,7,1] => 1011011 => 1101101 => 0010010
[2,7,3,8,5,1,6,4] => 0101101 => 1011010 => 0100101
[8,7,3,2,5,6,4,1] => 1110011 => 1100111 => 0011000
[3,1,8,2,6,5,4,7] => 1010110 => 0110101 => 1001010
[7,6,2,8,1,4,5,3] => 1101001 => 1001011 => 0110100
[2,3,8,4,1,5,7,6] => 0011001 => 1001100 => 0110011
[8,4,2,3,1,5,7,6] => 1101001 => 1001011 => 0110100
[8,2,3,4,1,5,7,6] => 1001001 => 1001001 => 0110110
[7,1,6,2,4,8,3,5] => 1010010 => 0100101 => 1011010
[2,7,8,1,4,3,6,5] => 0010101 => 1010100 => 0101011
[6,5,8,1,3,2,4,7] => 1010100 => 0010101 => 1101010
[2,1,8,5,3,4,6,7] => 1011000 => 0001101 => 1110010
[8,4,1,3,2,5,6,7] => 1101000 => 0001011 => 1110100
[8,6,1,2,3,5,4,7] => 1100010 => 0100011 => 1011100
[7,8,1,5,2,4,6,3] => 0101001 => 1001010 => 0110101
[2,8,6,3,1,5,4,7] => 0111010 => 0101110 => 1010001
[5,7,2,8,4,1,6,3] => 0101101 => 1011010 => 0100101
[2,5,6,3,8,1,4,7] => 0010100 => 0010100 => 1101011
[1,3,4,5,6,7,2,8,9] => 00000100 => 00100000 => 11011111
[7,4,5,6,8,1,3,2] => 1000101 => 1010001 => 0101110
[7,6,8,1,4,5,3,2] => 1010011 => 1100101 => 0011010
[7,5,1,8,4,6,3,2] => 1101011 => 1101011 => 0010100
[1,7,8,5,6,4,3,2] => 0010111 => 1110100 => 0001011
[2,8,1,7,4,5,3,6] => 0101010 => 0101010 => 1010101
[7,3,6,2,5,4,8,1] => 1010101 => 1010101 => 0101010
[1,6,2,3,5,8,4,7] => 0100010 => 0100010 => 1011101
[1,8,5,6,4,3,7,2] => 0101101 => 1011010 => 0100101
[2,6,8,4,5,1,7,3] => 0010101 => 1010100 => 0101011
[4,6,5,7,8,1,3,2] => 0100101 => 1010010 => 0101101
[2,5,8,6,4,7,1,3] => 0011010 => 0101100 => 1010011
[5,3,2,1,7,8,4,6] => 1110010 => 0100111 => 1011000
[8,4,1,3,6,7,2,5] => 1100010 => 0100011 => 1011100
[1,6,5,3,8,4,7,2] => 0110101 => 1010110 => 0101001
[7,6,2,3,5,1,4,8] => 1100100 => 0010011 => 1101100
[6,2,5,3,4,8,1,7] => 1010010 => 0100101 => 1011010
[6,2,5,3,4,8,7,1] => 1010011 => 1100101 => 0011010
[2,6,5,3,4,8,1,7] => 0110010 => 0100110 => 1011001
[5,3,4,8,1,7,2,6] => 1001010 => 0101001 => 1010110
[5,1,3,4,8,7,2,6] => 1000110 => 0110001 => 1001110
[1,5,3,4,8,7,2,6] => 0100110 => 0110010 => 1001101
[5,1,3,8,4,7,6,2] => 1001011 => 1101001 => 0010110
[5,3,8,1,4,7,6,2] => 1010011 => 1100101 => 0011010
[4,3,5,8,1,7,6,2] => 1001011 => 1101001 => 0010110
[3,6,5,4,8,1,2,7] => 0110100 => 0010110 => 1101001
[3,6,5,4,8,2,7,1] => 0110101 => 1010110 => 0101001
[3,5,2,4,8,7,6,1] => 0100111 => 1110010 => 0001101
[2,5,3,6,8,4,1,7] => 0100110 => 0110010 => 1001101
[4,6,2,5,1,7,8,3] => 0101001 => 1001010 => 0110101
[2,3,1,7,4,8,6,5] => 0101011 => 1101010 => 0010101
[2,3,8,7,6,4,1,5] => 0011110 => 0111100 => 1000011
[2,6,3,7,4,1,5,8] => 0101100 => 0011010 => 1100101
[7,5,2,3,1,6,4,8] => 1101010 => 0101011 => 1010100
[1,8,3,6,4,2,7,5] => 0101101 => 1011010 => 0100101
[2,1,7,4,8,5,3,6] => 1010110 => 0110101 => 1001010
[8,1,7,3,2,5,4,6] => 1011010 => 0101101 => 1010010
[7,8,5,2,6,4,3,1] => 0110111 => 1110110 => 0001001
[4,2,8,1,3,6,7,5] => 1010001 => 1000101 => 0111010
[8,1,2,5,7,4,6,3] => 1000101 => 1010001 => 0101110
[7,4,6,3,1,2,5,8] => 1011000 => 0001101 => 1110010
[6,4,1,3,7,2,5,8] => 1100100 => 0010011 => 1101100
[8,2,5,3,6,1,4,7] => 1010100 => 0010101 => 1101010
[3,7,5,1,4,6,2,8] => 0110010 => 0100110 => 1011001
[6,8,7,4,1,5,2,3] => 0111010 => 0101110 => 1010001
[8,6,4,7,5,1,3,2] => 1101101 => 1011011 => 0100100
[6,1,2,4,7,8,3,5] => 1000010 => 0100001 => 1011110
[2,4,6,5,7,1,8,3] => 0010101 => 1010100 => 0101011
[3,2,8,9,10,1,4,5,6,7] => 100010000 => 000010001 => 111101110
[4,2,6,7,8,5,3,1] => 1000111 => 1110001 => 0001110
[6,2,4,7,8,5,3,1] => 1000111 => 1110001 => 0001110
[3,5,2,1,7,8,6,4] => 0110011 => 1100110 => 0011001
[4,2,7,8,6,5,1,3] => 1001110 => 0111001 => 1000110
[1,2,7,8,6,4,5,3] => 0001101 => 1011000 => 0100111
[4,8,1,2,6,5,3,7] => 0100110 => 0110010 => 1001101
[7,1,6,3,2,4,8,5] => 1011001 => 1001101 => 0110010
[6,4,8,1,2,3,7,5] => 1010001 => 1000101 => 0111010
[7,4,1,3,6,8,5,2] => 1100011 => 1100011 => 0011100
[5,2,7,1,4,6,3,8] => 1010010 => 0100101 => 1011010
[6,3,8,5,7,1,4,2] => 1010101 => 1010101 => 0101010
[2,4,3,8,5,7,1,6] => 0101010 => 0101010 => 1010101
[2,8,3,1,4,6,5,7] => 0110010 => 0100110 => 1011001
[4,5,7,6,1,3,8,2] => 0011001 => 1001100 => 0110011
[3,7,1,6,5,8,2,4] => 0101010 => 0101010 => 1010101
[7,4,3,6,8,2,1,5] => 1100110 => 0110011 => 1001100
[3,8,5,4,7,6,1,2] => 0110110 => 0110110 => 1001001
[1,4,6,8,7,3,5,2] => 0001101 => 1011000 => 0100111
[4,6,5,1,3,8,7,2] => 0110011 => 1100110 => 0011001
[5,4,6,2,1,8,7,3] => 1011011 => 1101101 => 0010010
[3,2,8,5,1,4,6,7] => 1011000 => 0001101 => 1110010
[3,5,4,1,2,8,6,7] => 0110010 => 0100110 => 1011001
[5,3,8,1,4,2,6,7] => 1010100 => 0010101 => 1101010
[5,3,8,1,4,2,7,6] => 1010101 => 1010101 => 0101010
[1,4,7,5,8,6,2,3] => 0010110 => 0110100 => 1001011
[8,5,7,6,3,4,1,2] => 1011010 => 0101101 => 1010010
[7,5,2,6,1,4,8,3] => 1101001 => 1001011 => 0110100
[2,4,5,1,8,3,7,6] => 0010101 => 1010100 => 0101011
[7,2,8,5,3,4,1,6] => 1011010 => 0101101 => 1010010
[6,4,5,3,1,7,8,2] => 1011001 => 1001101 => 0110010
[7,3,5,6,4,1,8,2] => 1001101 => 1011001 => 0100110
[1,4,7,6,8,5,2,3] => 0010110 => 0110100 => 1001011
[2,3,4,7,8,9,1,5,6] => 00000100 => 00100000 => 11011111
[2,3,6,7,8,9,1,4,5] => 00000100 => 00100000 => 11011111
[2,5,6,7,8,9,1,3,4] => 00000100 => 00100000 => 11011111
[2,3,4,5,1,9,6,7,8] => 00010100 => 00101000 => 11010111
[2,3,4,1,8,9,5,6,7] => 00100100 => 00100100 => 11011011
[2,3,4,5,8,9,10,1,6,7] => 000000100 => 001000000 => 110111111
[2,3,1,7,8,9,4,5,6] => 01000100 => 00100010 => 11011101
[2,3,4,7,8,9,10,1,5,6] => 000000100 => 001000000 => 110111111
[2,1,6,7,8,9,3,4,5] => 10000100 => 00100001 => 11011110
[2,3,6,7,8,9,10,1,4,5] => 000000100 => 001000000 => 110111111
[2,5,6,7,8,9,10,1,3,4] => 000000100 => 001000000 => 110111111
[2,5,6,3,4,1,8,7] => 0010101 => 1010100 => 0101011
[4,6,2,1,5,8,3,7] => 0110010 => 0100110 => 1011001
[4,6,7,2,3,8,5,1] => 0010011 => 1100100 => 0011011
[4,5,3,7,8,1,2,6] => 0100100 => 0010010 => 1101101
[2,3,5,8,1,6,4,7] => 0001010 => 0101000 => 1010111
[1,7,4,5,8,3,6,2] => 0100101 => 1010010 => 0101101
[2,8,5,6,3,1,4,7] => 0101100 => 0011010 => 1100101
[4,8,2,6,1,5,7,3] => 0101001 => 1001010 => 0110101
[2,3,7,8,1,5,4,6] => 0001010 => 0101000 => 1010111
[5,2,6,7,8,3,1,4] => 1000110 => 0110001 => 1001110
[5,6,2,7,8,3,1,4] => 0100110 => 0110010 => 1001101
[2,3,7,5,8,4,6,1] => 0010101 => 1010100 => 0101011
[3,7,8,5,1,4,6,2] => 0011001 => 1001100 => 0110011
[2,5,6,7,1,8,4,3] => 0001011 => 1101000 => 0010111
[8,5,3,6,4,2,1,7] => 1101110 => 0111011 => 1000100
[6,4,7,8,1,2,5,3] => 1001001 => 1001001 => 0110110
[7,5,8,1,2,3,6,4] => 1010001 => 1000101 => 0111010
[1,2,8,7,4,6,5,3] => 0011011 => 1101100 => 0010011
[5,1,4,8,7,3,6,2] => 1001101 => 1011001 => 0100110
[4,3,1,8,7,5,6,2] => 1101101 => 1011011 => 0100100
[4,3,2,7,6,1,5,8] => 1101100 => 0011011 => 1100100
[7,2,6,5,3,1,4,8] => 1011100 => 0011101 => 1100010
[1,3,7,6,2,4,8,5] => 0011001 => 1001100 => 0110011
[1,3,8,2,7,4,6,5] => 0010101 => 1010100 => 0101011
[8,2,7,1,6,4,3,5] => 1010110 => 0110101 => 1001010
[4,3,2,8,1,7,5,6] => 1101010 => 0101011 => 1010100
[7,5,4,1,6,3,8,2] => 1110101 => 1010111 => 0101000
[1,6,5,3,2,4,8,7] => 0111001 => 1001110 => 0110001
[1,7,3,5,2,4,8,6] => 0101001 => 1001010 => 0110101
[4,3,7,2,5,1,6,8] => 1010100 => 0010101 => 1101010
[5,1,4,3,2,6,8,7] => 1011001 => 1001101 => 0110010
[7,2,1,3,5,4,6,8] => 1100100 => 0010011 => 1101100
[8,3,7,5,4,2,6,1] => 1011101 => 1011101 => 0100010
[1,6,8,7,5,2,3,4] => 0011100 => 0011100 => 1100011
[4,3,6,1,8,5,2,7] => 1010110 => 0110101 => 1001010
[1,3,6,2,5,4,8,7] => 0010101 => 1010100 => 0101011
[1,4,8,7,3,6,2,5] => 0011010 => 0101100 => 1010011
[1,2,7,3,8,4,9,5,10,6] => 001010101 => 101010100 => 010101011
[4,5,7,6,3,1,8,2] => 0011101 => 1011100 => 0100011
[4,6,7,5,1,3,8,2] => 0011001 => 1001100 => 0110011
[3,6,5,1,4,7,8,2] => 0110001 => 1000110 => 0111001
[4,6,7,3,1,5,8,2] => 0011001 => 1001100 => 0110011
[5,4,1,8,7,3,6,2] => 1101101 => 1011011 => 0100100
[6,2,4,7,5,3,1,8] => 1001110 => 0111001 => 1000110
[6,2,5,1,8,7,3,4] => 1010110 => 0110101 => 1001010
[3,2,6,1,5,8,7,4] => 1010011 => 1100101 => 0011010
[4,2,3,6,7,5,1,8] => 1000110 => 0110001 => 1001110
[6,2,3,5,7,4,1,8] => 1000110 => 0110001 => 1001110
[1,6,3,8,4,7,2,5] => 0101010 => 0101010 => 1010101
[8,1,5,2,4,7,3,6] => 1010010 => 0100101 => 1011010
[7,5,8,1,4,2,3,6] => 1010100 => 0010101 => 1101010
[4,1,2,3,6,5,8,7,9] => 10001010 => 01010001 => 10101110
[4,1,2,3,6,5,8,7,10,9] => 100010101 => 101010001 => 010101110
[4,1,6,2,3,5,8,7,9] => 10100010 => 01000101 => 10111010
[1,3,4,8,5,6,2,7] => 0001010 => 0101000 => 1010111
[3,2,7,1,8,6,5,4] => 1010111 => 1110101 => 0001010
[1,3,8,5,6,7,2,4] => 0010010 => 0100100 => 1011011
[6,2,4,1,5,7,8,3] => 1010001 => 1000101 => 0111010
[5,8,4,1,3,6,7,2] => 0110001 => 1000110 => 0111001
[6,7,2,3,8,1,4,5] => 0100100 => 0010010 => 1101101
[3,2,7,4,8,1,5,6] => 1010100 => 0010101 => 1101010
[5,2,8,1,7,4,6,3] => 1010101 => 1010101 => 0101010
[2,5,4,7,3,1,8,6] => 0101101 => 1011010 => 0100101
[4,6,3,1,2,5,7,8] => 0110000 => 0000110 => 1111001
[7,4,6,8,3,1,2,5] => 1001100 => 0011001 => 1100110
[8,5,4,7,3,1,2,6] => 1101100 => 0011011 => 1100100
[7,3,2,1,5,4,8,6] => 1110101 => 1010111 => 0101000
[2,5,6,4,8,1,3,7] => 0010100 => 0010100 => 1101011
[5,4,1,6,2,3,7,8] => 1101000 => 0001011 => 1110100
[1,3,6,5,2,4,7,8] => 0011000 => 0001100 => 1110011
[6,4,5,1,2,8,7,3] => 1010011 => 1100101 => 0011010
[5,4,1,2,7,6,3,8] => 1100110 => 0110011 => 1001100
[5,8,7,3,1,2,4,6] => 0111000 => 0001110 => 1110001
[2,7,8,1,4,5,3,6] => 0010010 => 0100100 => 1011011
[4,1,2,8,7,3,6,5] => 1001101 => 1011001 => 0100110
[6,1,2,4,3,8,7,5] => 1001011 => 1101001 => 0010110
[3,7,8,1,2,4,6,5] => 0010001 => 1000100 => 0111011
[7,3,4,1,2,6,8,5] => 1010001 => 1000101 => 0111010
[8,4,3,1,2,6,5,7] => 1110010 => 0100111 => 1011000
[3,8,2,7,4,5,1,6] => 0101010 => 0101010 => 1010101
[8,6,2,3,5,4,1,7] => 1100110 => 0110011 => 1001100
[8,2,6,1,3,5,4,7] => 1010010 => 0100101 => 1011010
[8,4,3,7,2,5,6,1] => 1101001 => 1001011 => 0110100
[8,3,1,7,4,5,2,6] => 1101010 => 0101011 => 1010100
[8,2,4,5,1,7,3,6] => 1001010 => 0101001 => 1010110
[6,8,2,4,5,1,7,3] => 0100101 => 1010010 => 0101101
[4,3,8,1,7,5,6,2] => 1010101 => 1010101 => 0101010
[8,4,3,7,1,5,6,2] => 1101001 => 1001011 => 0110100
[8,3,4,7,2,6,5,1] => 1001011 => 1101001 => 0010110
[8,1,3,7,6,4,5,2] => 1001101 => 1011001 => 0100110
[8,3,7,1,4,5,6,2] => 1010001 => 1000101 => 0111010
[8,7,3,6,1,2,5,4] => 1101001 => 1001011 => 0110100
[8,3,7,6,2,4,5,1] => 1011001 => 1001101 => 0110010
[8,7,2,3,6,1,5,4] => 1100101 => 1010011 => 0101100
[8,2,7,1,3,4,6,5] => 1010001 => 1000101 => 0111010
[5,1,8,4,2,3,7,6] => 1011001 => 1001101 => 0110010
[8,2,4,7,3,1,6,5] => 1001101 => 1011001 => 0100110
[8,2,7,6,3,1,4,5] => 1011100 => 0011101 => 1100010
[6,8,1,4,7,3,2,5] => 0100110 => 0110010 => 1001101
[8,5,7,2,6,3,1,4] => 1010110 => 0110101 => 1001010
[5,8,2,7,3,1,6,4] => 0101101 => 1011010 => 0100101
[8,1,2,6,7,5,4,3] => 1000111 => 1110001 => 0001110
[8,4,1,7,5,6,2,3] => 1101010 => 0101011 => 1010100
[8,2,4,7,6,5,1,3] => 1001110 => 0111001 => 1000110
[8,2,7,6,4,5,1,3] => 1011010 => 0101101 => 1010010
[8,4,7,2,3,6,5,1] => 1010011 => 1100101 => 0011010
[8,2,4,7,3,6,5,1] => 1001011 => 1101001 => 0010110
[8,1,7,6,4,5,2,3] => 1011010 => 0101101 => 1010010
[8,1,2,7,6,4,5,3] => 1001101 => 1011001 => 0100110
[8,1,4,7,3,6,5,2] => 1001011 => 1101001 => 0010110
[2,3,1,9,8,7,6,5,4] => 01011111 => 11111010 => 00000101
[3,4,2,1,9,8,7,6,5] => 01101111 => 11110110 => 00001001
[4,5,3,2,1,9,8,7,6] => 01110111 => 11101110 => 00010001
[5,6,4,3,2,1,9,8,7] => 01111011 => 11011110 => 00100001
[6,7,5,4,3,2,1,9,8] => 01111101 => 10111110 => 01000001
[2,8,1,5,3,7,6,4] => 0101011 => 1101010 => 0010101
[1,8,2,4,7,5,6,3] => 0100101 => 1010010 => 0101101
[2,3,8,4,7,1,6,5] => 0010101 => 1010100 => 0101011
[1,8,2,3,5,6,4,7] => 0100010 => 0100010 => 1011101
[1,4,7,6,2,3,5,8] => 0011000 => 0001100 => 1110011
[1,7,6,2,3,8,4,5] => 0110010 => 0100110 => 1011001
[1,8,2,3,7,6,4,5] => 0100110 => 0110010 => 1001101
[1,7,3,8,6,2,5,4] => 0101101 => 1011010 => 0100101
[5,8,2,3,7,4,1,6] => 0100110 => 0110010 => 1001101
[4,2,8,3,7,6,1,5] => 1010110 => 0110101 => 1001010
[1,3,5,6,4,8,2,7] => 0001010 => 0101000 => 1010111
[3,1,7,8,5,2,4,6] => 1001100 => 0011001 => 1100110
[7,1,2,3,4,5,9,6,10,8] => 100000101 => 101000001 => 010111110
[4,6,1,8,2,7,5,3] => 0101011 => 1101010 => 0010101
[6,3,5,2,8,4,7,1] => 1010101 => 1010101 => 0101010
[1,6,3,5,2,8,4,7] => 0101010 => 0101010 => 1010101
[5,4,8,6,3,7,2,1] => 1011011 => 1101101 => 0010010
[6,4,5,8,1,3,7,2] => 1001001 => 1001001 => 0110110
[6,3,5,1,8,4,7,2] => 1010101 => 1010101 => 0101010
[2,6,3,1,5,8,4,7] => 0110010 => 0100110 => 1011001
[2,5,4,8,6,3,1,7] => 0101110 => 0111010 => 1000101
[2,5,4,8,6,3,7,1] => 0101101 => 1011010 => 0100101
[1,2,5,4,8,6,3,7] => 0010110 => 0110100 => 1001011
[6,4,5,8,2,1,7,3] => 1001101 => 1011001 => 0100110
[5,3,4,1,2,6,8,7] => 1010001 => 1000101 => 0111010
[1,4,3,5,2,8,6,7] => 0101010 => 0101010 => 1010101
[1,3,5,4,8,2,6,7] => 0010100 => 0010100 => 1101011
[3,5,4,8,2,6,1,7] => 0101010 => 0101010 => 1010101
[3,6,4,5,1,2,8,7] => 0101001 => 1001010 => 0110101
[4,3,5,1,8,6,2,7] => 1010110 => 0110101 => 1001010
[3,5,4,8,1,6,2,7] => 0101010 => 0101010 => 1010101
[3,4,8,5,6,1,2,7] => 0010100 => 0010100 => 1101011
[3,4,8,5,6,2,1,7] => 0010110 => 0110100 => 1001011
[3,5,4,8,1,6,7,2] => 0101001 => 1001010 => 0110101
[2,4,3,1,5,8,6,7] => 0110010 => 0100110 => 1011001
[1,7,6,2,5,4,8,3] => 0110101 => 1010110 => 0101001
[5,6,1,7,4,3,8,2] => 0101101 => 1011010 => 0100101
[3,1,5,6,4,2,7,8] => 1001100 => 0011001 => 1100110
[8,3,4,1,6,5,7,2] => 1010101 => 1010101 => 0101010
[8,1,6,4,3,5,2,7] => 1011010 => 0101101 => 1010010
[1,3,7,8,2,6,4,5] => 0001010 => 0101000 => 1010111
[2,1,6,5,3,8,7,4] => 1011011 => 1101101 => 0010010
[3,7,5,6,4,2,1,8] => 0101110 => 0111010 => 1000101
[6,1,4,3,7,5,8,2] => 1010101 => 1010101 => 0101010
[3,8,6,4,5,2,7,1] => 0110101 => 1010110 => 0101001
[4,5,8,6,2,3,7,1] => 0011001 => 1001100 => 0110011
[4,6,8,5,3,7,2,1] => 0011011 => 1101100 => 0010011
[4,5,7,2,8,6,3,1] => 0010111 => 1110100 => 0001011
[3,7,4,5,1,6,8,2] => 0101001 => 1001010 => 0110101
[4,6,8,1,2,5,7,3] => 0010001 => 1000100 => 0111011
[4,6,8,5,1,3,7,2] => 0011001 => 1001100 => 0110011
[3,7,4,5,2,8,6,1] => 0101011 => 1101010 => 0010101
[3,7,8,4,6,1,5,2] => 0010101 => 1010100 => 0101011
[4,5,7,2,1,6,8,3] => 0011001 => 1001100 => 0110011
[4,5,1,6,8,3,7,2] => 0100101 => 1010010 => 0101101
[8,3,5,4,6,1,2,7] => 1010100 => 0010101 => 1101010
[3,4,5,6,1,7,2,9,8] => 00010101 => 10101000 => 01010111
[1,7,4,5,2,6,8,3] => 0101001 => 1001010 => 0110101
[1,4,5,9,6,7,2,8,3] => 00010101 => 10101000 => 01010111
[3,4,5,6,7,1,8,2,10,9] => 000010101 => 101010000 => 010101111
[2,4,5,9,6,1,7,3,8] => 00011010 => 01011000 => 10100111
[3,4,5,7,6,1,9,2,8] => 00011010 => 01011000 => 10100111
[1,4,2,6,5,3,8,7] => 0101101 => 1011010 => 0100101
[3,1,5,8,4,6,2,7] => 1001010 => 0101001 => 1010110
[3,5,6,9,7,1,8,2,4] => 00011010 => 01011000 => 10100111
[1,4,8,5,6,2,7,9,3] => 00101001 => 10010100 => 01101011
[1,4,5,6,10,7,8,2,9,3] => 000010101 => 101010000 => 010101111
[3,4,5,6,7,8,1,9,2,11,10] => 0000010101 => 1010100000 => 0101011111
[2,4,5,6,10,7,1,8,3,9] => 000011010 => 010110000 => 101001111
[3,4,5,6,8,7,1,10,2,9] => 000011010 => 010110000 => 101001111
[2,5,9,6,7,3,1,4,8] => 00101100 => 00110100 => 11001011
[4,1,5,2,7,6,3,9,8] => 10101101 => 10110101 => 01001010
[3,4,1,6,9,5,7,2,8] => 01001010 => 01010010 => 10101101
[8,2,6,3,4,1,5,7] => 1010100 => 0010101 => 1101010
[4,6,5,8,2,1,3,7] => 0101100 => 0011010 => 1100101
[1,4,8,3,5,6,2,7] => 0010010 => 0100100 => 1011011
[1,8,7,4,2,3,6,5] => 0111001 => 1001110 => 0110001
[6,7,9,8,1,3,4,2,5] => 00110010 => 01001100 => 10110011
[9,1,5,2,8,6,3,7,4] => 10101101 => 10110101 => 01001010
[3,5,6,7,10,8,1,9,2,4] => 000011010 => 010110000 => 101001111
[1,7,4,5,2,6,8,9,3] => 01010001 => 10001010 => 01110101
[1,4,5,9,6,7,2,8,10,3] => 000101001 => 100101000 => 011010111
[1,4,5,6,7,11,8,9,2,10,3] => 0000010101 => 1010100000 => 0101011111
[4,3,1,8,5,7,2,6] => 1101010 => 0101011 => 1010100
[7,3,2,4,8,1,6,5] => 1100101 => 1010011 => 0101100
[3,7,2,4,5,8,1,6] => 0100010 => 0100010 => 1011101
[3,2,7,4,6,1,8,5] => 1010101 => 1010101 => 0101010
[8,3,2,4,6,1,7,5] => 1100101 => 1010011 => 0101100
[8,3,2,4,5,7,1,6] => 1100010 => 0100011 => 1011100
[7,4,6,2,1,3,8,5] => 1011001 => 1001101 => 0110010
[3,6,7,2,4,1,8,5] => 0010101 => 1010100 => 0101011
[5,4,8,7,6,2,3,1] => 1011101 => 1011101 => 0100010
[5,2,3,8,7,1,6,4] => 1001101 => 1011001 => 0100110
[7,5,2,4,1,3,8,6] => 1101001 => 1001011 => 0110100
[7,2,6,8,5,1,3,4] => 1001100 => 0011001 => 1100110
[8,2,3,4,1,6,7,5] => 1001001 => 1001001 => 0110110
[9,2,3,4,5,6,1,8,7] => 10000101 => 10100001 => 01011110
[9,2,3,4,5,1,7,8,6] => 10001001 => 10010001 => 01101110
[9,2,3,4,1,6,7,8,5] => 10010001 => 10001001 => 01110110
[9,2,3,1,5,6,7,8,4] => 10100001 => 10000101 => 01111010
[9,2,1,4,5,6,7,8,3] => 11000001 => 10000011 => 01111100
[10,2,3,4,5,6,7,1,9,8] => 100000101 => 101000001 => 010111110
[5,2,3,4,1,9,6,8,7] => 10010101 => 10101001 => 01010110
[10,2,3,4,5,6,1,8,9,7] => 100001001 => 100100001 => 011011110
[4,2,3,1,9,5,7,8,6] => 10101001 => 10010101 => 01101010
[10,2,3,4,5,1,7,8,9,6] => 100010001 => 100010001 => 011101110
[3,2,1,9,4,6,7,8,5] => 11010001 => 10001011 => 01110100
[10,2,3,4,1,6,7,8,9,5] => 100100001 => 100001001 => 011110110
[2,1,9,3,5,6,7,8,4] => 10100001 => 10000101 => 01111010
[10,2,3,1,5,6,7,8,9,4] => 101000001 => 100000101 => 011111010
[10,2,1,4,5,6,7,8,9,3] => 110000001 => 100000011 => 011111100
[7,4,3,8,1,6,5,2] => 1101011 => 1101011 => 0010100
[6,5,1,4,3,8,7,2] => 1101011 => 1101011 => 0010100
[4,7,6,2,5,8,1,3] => 0110010 => 0100110 => 1011001
[6,3,2,4,5,8,1,7] => 1100010 => 0100011 => 1011100
[2,6,4,5,8,3,1,7] => 0100110 => 0110010 => 1001101
[3,7,4,8,6,2,5,1] => 0101101 => 1011010 => 0100101
[7,3,5,2,8,1,4,6] => 1010100 => 0010101 => 1101010
[1,5,8,7,4,2,3,6] => 0011100 => 0011100 => 1100011
[1,7,2,4,5,8,6,3] => 0100011 => 1100010 => 0011101
[1,4,6,8,7,2,5,3] => 0001101 => 1011000 => 0100111
[1,6,2,7,5,3,4,8] => 0101100 => 0011010 => 1100101
[1,3,7,2,6,4,5,8] => 0010100 => 0010100 => 1101011
[1,7,3,2,8,5,6,4] => 0110101 => 1010110 => 0101001
[1,6,5,2,4,8,3,7] => 0110010 => 0100110 => 1011001
[1,7,3,8,4,2,5,6] => 0101100 => 0011010 => 1100101
[1,6,2,4,7,5,8,3] => 0100101 => 1010010 => 0101101
[1,6,2,7,4,3,8,5] => 0101101 => 1011010 => 0100101
[1,5,8,2,3,6,4,7] => 0010010 => 0100100 => 1011011
[6,8,9,1,2,3,4,5,7] => 00100000 => 00000100 => 11111011
[5,8,9,1,2,3,4,6,7] => 00100000 => 00000100 => 11111011
[2,5,3,6,7,1,4,8] => 0100100 => 0010010 => 1101101
[6,4,1,5,7,2,3,8] => 1100100 => 0010011 => 1101100
[6,4,1,5,7,3,8,2] => 1100101 => 1010011 => 0101100
[1,2,7,3,8,5,6,4] => 0010101 => 1010100 => 0101011
[7,4,1,6,3,8,2,5] => 1101010 => 0101011 => 1010100
[1,5,7,4,3,8,6,2] => 0011011 => 1101100 => 0010011
[2,7,3,1,4,5,8,6] => 0110001 => 1000110 => 0111001
[2,3,4,5,1,7,6,9,8] => 00010101 => 10101000 => 01010111
[2,3,4,1,6,5,8,7,9] => 00101010 => 01010100 => 10101011
[2,3,4,5,6,7,1,9,8,10] => 000001010 => 010100000 => 101011111
[2,3,4,5,1,8,6,9,7] => 00010101 => 10101000 => 01010111
[2,3,4,1,7,5,8,6,9] => 00101010 => 01010100 => 10101011
[2,3,4,5,1,7,6,9,8,10] => 000101010 => 010101000 => 101010111
[6,5,8,3,2,7,1,4] => 1011010 => 0101101 => 1010010
[8,4,3,1,7,6,5,2] => 1110111 => 1110111 => 0001000
[1,2,6,7,5,3,4,8] => 0001100 => 0011000 => 1100111
[1,2,6,8,7,4,5,3] => 0001101 => 1011000 => 0100111
[3,4,5,6,7,9,1,8,2] => 00000101 => 10100000 => 01011111
[3,4,5,6,8,2,7,1] => 0000101 => 1010000 => 0101111
[3,4,5,6,7,8,10,1,9,2] => 000000101 => 101000000 => 010111111
[3,4,5,6,7,9,2,8,1] => 00000101 => 10100000 => 01011111
[3,4,5,6,7,1,9,8,2] => 00001011 => 11010000 => 00101111
[7,2,1,4,5,6,3,8] => 1100010 => 0100011 => 1011100
[1,5,6,7,3,4,2,8] => 0001010 => 0101000 => 1010111
[4,6,8,5,2,1,7,3] => 0011101 => 1011100 => 0100011
[1,6,7,8,2,4,5,3] => 0001001 => 1001000 => 0110111
[4,7,8,2,1,3,5,6] => 0011000 => 0001100 => 1110011
[5,7,8,3,2,4,6,1] => 0011001 => 1001100 => 0110011
[5,7,8,2,3,1,6,4] => 0010101 => 1010100 => 0101011
[5,3,4,2,1,9,8,7,6] => 10110111 => 11101101 => 00010010
[6,5,3,4,2,1,9,8,7] => 11011011 => 11011011 => 00100100
[7,6,4,5,3,2,1,9,8] => 11011101 => 10111011 => 01000100
[4,5,2,7,8,6,1,3] => 0100110 => 0110010 => 1001101
[1,3,5,8,7,2,6,4] => 0001101 => 1011000 => 0100111
[6,4,1,8,5,7,3,2] => 1101011 => 1101011 => 0010100
[4,1,3,8,7,5,2,6] => 1001110 => 0111001 => 1000110
[8,5,1,6,7,2,4,3] => 1100101 => 1010011 => 0101100
[3,6,7,2,1,5,8,4] => 0011001 => 1001100 => 0110011
[2,5,6,1,3,8,7,4] => 0010011 => 1100100 => 0011011
[7,2,5,6,1,3,8,4] => 1001001 => 1001001 => 0110110
[6,4,1,2,5,8,3,7] => 1100010 => 0100011 => 1011100
[4,6,3,5,7,1,8,2] => 0100101 => 1010010 => 0101101
[4,7,3,5,2,6,8,1] => 0101001 => 1001010 => 0110101
[2,3,5,4,7,1,8,6] => 0010101 => 1010100 => 0101011
[6,8,4,1,5,7,3,2] => 0110011 => 1100110 => 0011001
[8,1,6,2,3,7,5,4] => 1010011 => 1100101 => 0011010
[7,8,9,6,1,2,3,4,10,5] => 001100001 => 100001100 => 011110011
[2,8,9,10,7,1,3,4,5,6] => 000110000 => 000011000 => 111100111
[8,9,10,7,6,1,2,3,4,11,5] => 0011100001 => 1000011100 => 0111100011
[8,9,7,5,6,1,2,3,10,4] => 011010001 => 100010110 => 011101001
[2,9,10,8,6,7,1,3,4,5] => 001101000 => 000101100 => 111010011
[8,9,10,11,7,1,2,3,4,5,12,6] => 00011000001 => 10000011000 => 01111100111
[7,8,9,10,1,2,3,4,5,11,6] => 0001000001 => 1000001000 => 0111110111
[7,8,9,5,1,2,3,4,10,6] => 001100001 => 100001100 => 011110011
[7,8,9,1,6,2,3,4,10,5] => 001010001 => 100010100 => 011101011
[2,8,9,10,6,1,3,4,5,7] => 000110000 => 000011000 => 111100111
[2,8,9,10,1,7,3,4,5,6] => 000101000 => 000101000 => 111010111
[2,8,9,10,11,1,3,4,5,6,7] => 0000100000 => 0000010000 => 1111101111
[2,8,3,6,4,1,7,5] => 0101101 => 1011010 => 0100101
[6,5,3,4,8,2,1,7] => 1100110 => 0110011 => 1001100
[5,4,8,7,3,6,2,1] => 1011011 => 1101101 => 0010010
[3,4,5,1,2,6,7,8,9] => 00100000 => 00000100 => 11111011
[5,2,7,6,8,3,4,1] => 1010101 => 1010101 => 0101010
[8,4,5,2,7,3,6,1] => 1010101 => 1010101 => 0101010
[6,3,7,4,5,2,8,1] => 1010101 => 1010101 => 0101010
[7,3,4,2,8,5,6,1] => 1010101 => 1010101 => 0101010
[4,3,6,5,8,2,7,1] => 1010101 => 1010101 => 0101010
[8,2,7,4,5,3,6,1] => 1010101 => 1010101 => 0101010
[7,2,8,4,5,3,6,1] => 1010101 => 1010101 => 0101010
[6,3,8,2,7,4,5,1] => 1010101 => 1010101 => 0101010
[3,2,8,4,7,5,6,1] => 1010101 => 1010101 => 0101010
[8,3,6,2,7,4,5,1] => 1010101 => 1010101 => 0101010
[4,2,3,5,6,7,8,9,10,1] => 100000001 => 100000001 => 011111110
[2,3,4,5,6,7,8,11,1,9,10] => 0000000100 => 0010000000 => 1101111111
[2,3,4,5,6,11,1,7,8,9,10] => 0000010000 => 0000100000 => 1111011111
[2,3,4,5,11,1,6,7,8,9,10] => 0000100000 => 0000010000 => 1111101111
[2,3,4,11,1,5,6,7,8,9,10] => 0001000000 => 0000001000 => 1111110111
[2,3,11,1,4,5,6,7,8,9,10] => 0010000000 => 0000000100 => 1111111011
[1,7,8,4,3,6,5,2] => 0011011 => 1101100 => 0010011
[1,7,8,3,6,5,4,2] => 0010111 => 1110100 => 0001011
[6,4,5,8,7,2,1,3] => 1001110 => 0111001 => 1000110
[5,8,1,7,2,4,3,6] => 0101010 => 0101010 => 1010101
[2,5,7,3,8,1,4,6] => 0010100 => 0010100 => 1101011
[8,3,5,2,1,6,7,4] => 1011001 => 1001101 => 0110010
[2,6,4,7,1,8,5,3] => 0101011 => 1101010 => 0010101
[1,6,5,7,3,8,2,4] => 0101010 => 0101010 => 1010101
[1,8,5,3,7,6,2,4] => 0110110 => 0110110 => 1001001
[6,4,2,3,8,7,5,1] => 1100111 => 1110011 => 0001100
[6,1,4,2,7,8,3,5] => 1010010 => 0100101 => 1011010
[6,5,1,3,7,8,4,2] => 1100011 => 1100011 => 0011100
[5,1,3,2,7,8,6,4] => 1010011 => 1100101 => 0011010
[6,7,4,2,3,8,5,1] => 0110011 => 1100110 => 0011001
[5,8,7,3,2,4,6,1] => 0111001 => 1001110 => 0110001
[5,1,3,2,6,8,4,7] => 1010010 => 0100101 => 1011010
[5,7,1,4,6,8,2,3] => 0100010 => 0100010 => 1011101
[2,4,1,7,5,6,3,8] => 0101010 => 0101010 => 1010101
[1,4,3,7,6,2,8,5] => 0101101 => 1011010 => 0100101
[1,6,2,5,7,3,8,4] => 0100101 => 1010010 => 0101101
[1,4,3,8,2,5,7,6] => 0101001 => 1001010 => 0110101
[1,5,7,3,6,4,2,8] => 0010110 => 0110100 => 1001011
[1,6,7,2,4,8,3,5] => 0010010 => 0100100 => 1011011
[3,7,2,8,4,1,5,6] => 0101100 => 0011010 => 1100101
[2,4,1,5,3,6,8,7,9] => 01010010 => 01001010 => 10110101
[2,4,1,7,3,8,5,6,9] => 01010100 => 00101010 => 11010101
[5,3,4,1,7,8,6,2] => 1010011 => 1100101 => 0011010
[4,7,6,5,8,2,3,1] => 0110101 => 1010110 => 0101001
[2,3,8,4,5,7,1,6] => 0010010 => 0100100 => 1011011
[4,1,8,3,2,6,5,7] => 1011010 => 0101101 => 1010010
[1,2,6,8,4,3,5,7] => 0001100 => 0011000 => 1100111
[7,2,6,3,1,8,4,5] => 1011010 => 0101101 => 1010010
[5,8,4,1,3,7,2,6] => 0110010 => 0100110 => 1011001
[3,4,2,1,6,8,5,7] => 0110010 => 0100110 => 1011001
[8,1,3,5,6,4,7,2] => 1000101 => 1010001 => 0101110
[3,4,7,1,5,6,2,8] => 0010010 => 0100100 => 1011011
[4,8,2,6,5,3,7,1] => 0101101 => 1011010 => 0100101
[4,8,7,2,5,6,1,3] => 0110010 => 0100110 => 1011001
[5,8,6,4,7,3,2,1] => 0110111 => 1110110 => 0001001
[8,5,2,3,1,6,7,4] => 1101001 => 1001011 => 0110100
[2,8,6,3,5,1,7,4] => 0110101 => 1010110 => 0101001
[8,3,2,6,4,1,7,5] => 1101101 => 1011011 => 0100100
[8,4,1,5,3,6,7,2] => 1101001 => 1001011 => 0110100
[8,3,5,1,4,6,7,2] => 1010001 => 1000101 => 0111010
[8,5,1,3,4,6,7,2] => 1100001 => 1000011 => 0111100
[3,8,6,2,5,4,7,1] => 0110101 => 1010110 => 0101001
[3,8,4,6,5,2,7,1] => 0101101 => 1011010 => 0100101
[8,1,7,4,2,5,3,6] => 1011010 => 0101101 => 1010010
[8,3,2,5,1,4,7,6] => 1101001 => 1001011 => 0110100
[8,4,5,1,2,6,7,3] => 1010001 => 1000101 => 0111010
[8,1,5,3,2,6,7,4] => 1011001 => 1001101 => 0110010
[8,1,5,2,4,6,7,3] => 1010001 => 1000101 => 0111010
[5,2,6,4,1,3,8,7] => 1011001 => 1001101 => 0110010
[7,1,3,5,2,8,6,4] => 1001011 => 1101001 => 0010110
[8,6,4,7,1,3,5,2] => 1101001 => 1001011 => 0110100
[6,8,4,3,2,1,7,5] => 0111101 => 1011110 => 0100001
[2,1,8,5,4,3,7,6] => 1011101 => 1011101 => 0100010
[6,2,8,5,4,1,3,7] => 1011100 => 0011101 => 1100010
[6,4,8,5,3,2,7,1] => 1011101 => 1011101 => 0100010
[9,10,6,7,4,5,2,3,1,8] => 010101010 => 010101010 => 101010101
[8,5,4,6,2,7,1,3] => 1101010 => 0101011 => 1010100
[6,8,5,4,7,2,3,1] => 0110101 => 1010110 => 0101001
[2,5,7,3,4,8,1,6] => 0010010 => 0100100 => 1011011
[5,2,4,7,8,1,3,6] => 1000100 => 0010001 => 1101110
[8,5,9,3,6,1,2,4,7] => 10101000 => 00010101 => 11101010
[9,7,1,5,8,3,6,2,4] => 11001010 => 01010011 => 10101100
[9,7,5,4,1,3,8,2,6] => 11110010 => 01001111 => 10110000
[8,9,4,5,10,1,2,3,6,7] => 010010000 => 000010010 => 111101101
[8,4,3,9,10,1,2,5,6,7] => 110010000 => 000010011 => 111101100
[9,6,10,1,3,7,8,2,4,5] => 101000100 => 001000101 => 110111010
[9,10,6,7,4,5,1,2,3,8] => 010101000 => 000101010 => 111010101
[9,6,4,10,3,7,1,2,5,8] => 110101000 => 000101011 => 111010100
[10,1,8,9,6,7,4,5,2,3] => 100101010 => 010101001 => 101010110
[10,8,6,1,4,9,3,7,2,5] => 111001010 => 010100111 => 101011000
[10,8,6,5,4,1,3,9,2,7] => 111110010 => 010011111 => 101100000
[10,8,7,6,5,4,3,1,2,9] => 111111100 => 001111111 => 110000000
[4,8,5,6,1,2,7,3] => 0101001 => 1001010 => 0110101
[2,5,6,8,7,1,4,3] => 0001101 => 1011000 => 0100111
[1,7,8,5,4,6,2,3] => 0011010 => 0101100 => 1010011
[4,6,8,1,5,2,7,3] => 0010101 => 1010100 => 0101011
[5,3,8,1,2,6,7,4] => 1010001 => 1000101 => 0111010
[8,2,3,6,4,1,7,5] => 1001101 => 1011001 => 0100110
[2,3,7,5,8,6,1,4] => 0010110 => 0110100 => 1001011
[3,8,5,1,2,4,7,6] => 0110001 => 1000110 => 0111001
[1,3,6,4,8,2,7,5] => 0010101 => 1010100 => 0101011
[1,2,3,4,6,5,7,8,9,10] => 000010000 => 000010000 => 111101111
[1,2,3,4,5,6,8,7,9,10] => 000000100 => 001000000 => 110111111
[1,7,6,2,8,5,3,4] => 0110110 => 0110110 => 1001001
[1,5,8,6,4,7,2,3] => 0011010 => 0101100 => 1010011
[5,6,2,8,1,7,3,4] => 0101010 => 0101010 => 1010101
[6,8,4,5,1,3,7,2] => 0101001 => 1001010 => 0110101
[5,2,3,8,1,4,6,7] => 1001000 => 0001001 => 1110110
[1,6,8,3,2,4,5,7] => 0011000 => 0001100 => 1110011
[9,6,5,4,3,2,1,7,8] => 11111100 => 00111111 => 11000000
[10,7,6,5,4,3,2,1,8,9] => 111111100 => 001111111 => 110000000
[9,8,5,4,3,2,1,6,7] => 11111100 => 00111111 => 11000000
[8,6,5,2,4,3,7,1] => 1110101 => 1010111 => 0101000
[6,2,5,3,7,4,8,1] => 1010101 => 1010101 => 0101010
[8,5,4,2,6,3,7,1] => 1110101 => 1010111 => 0101000
[8,5,3,2,6,4,7,1] => 1110101 => 1010111 => 0101000
[7,4,6,5,8,2,3,1] => 1010101 => 1010101 => 0101010
[7,3,6,5,8,2,4,1] => 1010101 => 1010101 => 0101010
[7,3,6,4,8,2,5,1] => 1010101 => 1010101 => 0101010
[7,3,5,4,8,2,6,1] => 1010101 => 1010101 => 0101010
[7,3,6,8,4,5,1,2] => 1001010 => 0101001 => 1010110
[1,6,5,7,4,2,8,3] => 0101101 => 1011010 => 0100101
[1,2,7,4,8,5,6,3] => 0010101 => 1010100 => 0101011
[2,6,7,4,8,5,1,3] => 0010110 => 0110100 => 1001011
[2,5,8,6,4,3,7,1] => 0011101 => 1011100 => 0100011
[6,4,2,5,7,1,8,3] => 1100101 => 1010011 => 0101100
[2,7,5,4,6,8,1,3] => 0110010 => 0100110 => 1011001
[9,1,2,3,4,5,8,7,6] => 10000011 => 11000001 => 00111110
[9,1,2,3,4,8,6,7,5] => 10000101 => 10100001 => 01011110
[8,1,4,7,3,5,6,2] => 1001001 => 1001001 => 0110110
[9,1,2,8,4,5,6,7,3] => 10010001 => 10001001 => 01110110
[8,3,7,2,4,5,6,1] => 1010001 => 1000101 => 0111010
[9,1,8,3,4,5,6,7,2] => 10100001 => 10000101 => 01111010
[10,1,2,3,4,5,6,9,8,7] => 100000011 => 110000001 => 001111110
[9,1,2,3,4,7,8,6,5] => 10000011 => 11000001 => 00111110
[10,1,2,3,4,5,9,7,8,6] => 100000101 => 101000001 => 010111110
[9,1,2,3,6,8,5,7,4] => 10000101 => 10100001 => 01011110
[9,1,2,5,8,4,6,7,3] => 10001001 => 10010001 => 01101110
[10,1,2,3,9,5,6,7,8,4] => 100010001 => 100010001 => 011101110
[8,1,4,5,7,3,6,2] => 1000101 => 1010001 => 0101110
[9,1,4,8,3,5,6,7,2] => 10010001 => 10001001 => 01110110
[10,1,2,9,4,5,6,7,8,3] => 100100001 => 100001001 => 011110110
[9,3,8,2,4,5,6,7,1] => 10100001 => 10000101 => 01111010
[5,6,3,4,2,8,7,1] => 0101011 => 1101010 => 0010101
[2,5,7,4,6,8,1,3] => 0010010 => 0100100 => 1011011
[2,5,6,4,1,3,8,7] => 0011001 => 1001100 => 0110011
[4,6,1,3,5,7,2,8] => 0100010 => 0100010 => 1011101
[3,2,7,5,8,1,6,4] => 1010101 => 1010101 => 0101010
[4,3,6,8,5,2,1,7] => 1001110 => 0111001 => 1000110
[4,5,3,2,1,8,6,7] => 0111010 => 0101110 => 1010001
[3,6,5,8,1,7,4,2] => 0101011 => 1101010 => 0010101
[4,1,6,8,5,2,3,7] => 1001100 => 0011001 => 1100110
[4,5,2,8,6,7,1,3] => 0101010 => 0101010 => 1010101
[4,5,2,8,6,7,3,1] => 0101011 => 1101010 => 0010101
[3,5,8,6,2,4,7,1] => 0011001 => 1001100 => 0110011
[2,5,1,6,4,8,3,7] => 0101010 => 0101010 => 1010101
[3,2,4,5,8,6,1,7] => 1000110 => 0110001 => 1001110
[4,5,2,1,3,8,6,7] => 0110010 => 0100110 => 1011001
[4,2,3,6,8,5,1,7] => 1000110 => 0110001 => 1001110
[4,5,1,3,2,8,6,7] => 0101010 => 0101010 => 1010101
[3,4,5,8,6,1,7,2] => 0001101 => 1011000 => 0100111
[3,4,5,8,6,1,2,7] => 0001100 => 0011000 => 1100111
[6,4,1,3,7,8,2,5] => 1100010 => 0100011 => 1011100
[6,3,1,2,5,4,8,7] => 1100101 => 1010011 => 0101100
[7,3,1,2,5,4,8,6] => 1100101 => 1010011 => 0101100
[8,2,6,4,1,3,7,5] => 1011001 => 1001101 => 0110010
[1,5,8,2,4,3,7,6] => 0010101 => 1010100 => 0101011
[4,3,7,8,2,6,5,1] => 1001011 => 1101001 => 0010110
[3,8,5,1,2,6,7,4] => 0110001 => 1000110 => 0111001
[2,4,7,8,3,6,5,1] => 0001011 => 1101000 => 0010111
[5,4,7,8,3,6,1,2] => 1001010 => 0101001 => 1010110
[6,8,1,3,2,5,7,4] => 0101001 => 1001010 => 0110101
[1,4,8,5,7,2,3,6] => 0010100 => 0010100 => 1101011
[1,8,7,3,2,4,5,6] => 0111000 => 0001110 => 1110001
[8,6,2,7,3,4,1,5] => 1101010 => 0101011 => 1010100
[8,6,2,7,3,4,5,1] => 1101001 => 1001011 => 0110100
[5,6,3,2,8,7,1,4] => 0110110 => 0110110 => 1001001
[5,1,6,7,8,3,2,4] => 1000110 => 0110001 => 1001110
[1,5,6,3,7,2,4,8] => 0010100 => 0010100 => 1101011
[1,5,6,7,4,2,3,8] => 0001100 => 0011000 => 1100111
[5,1,6,7,3,4,2,8] => 1001010 => 0101001 => 1010110
[8,6,1,7,3,4,5,2] => 1101001 => 1001011 => 0110100
[6,8,5,1,7,4,2,3] => 0110110 => 0110110 => 1001001
[8,4,2,3,5,7,6,1] => 1100011 => 1100011 => 0011100
[4,8,5,2,3,1,6,7] => 0110100 => 0010110 => 1101001
[5,4,8,3,1,2,6,7] => 1011000 => 0001101 => 1110010
[8,4,7,3,2,5,6,1] => 1011001 => 1001101 => 0110010
[6,8,5,1,7,3,4,2] => 0110101 => 1010110 => 0101001
[6,2,7,3,8,1,4,5] => 1010100 => 0010101 => 1101010
[8,4,2,6,7,1,5,3] => 1100101 => 1010011 => 0101100
[1,7,8,3,6,5,2,4] => 0010110 => 0110100 => 1001011
[4,6,7,5,1,8,2,3] => 0011010 => 0101100 => 1010011
[3,5,2,6,8,7,4,1] => 0100111 => 1110010 => 0001101
[7,3,6,8,4,1,2,5] => 1001100 => 0011001 => 1100110
[6,4,2,3,7,5,8,1] => 1100101 => 1010011 => 0101100
[6,3,7,5,1,2,8,4] => 1011001 => 1001101 => 0110010
[7,2,5,4,8,6,3,1] => 1010111 => 1110101 => 0001010
[6,2,3,8,7,4,5,1] => 1001101 => 1011001 => 0100110
[7,1,2,8,4,6,5,3] => 1001011 => 1101001 => 0010110
[3,5,8,1,2,7,6,4] => 0010011 => 1100100 => 0011011
[1,4,3,6,8,5,2,7] => 0100110 => 0110010 => 1001101
[7,6,2,8,5,3,4,1] => 1101101 => 1011011 => 0100100
[6,8,3,5,4,7,2,1] => 0101011 => 1101010 => 0010101
[8,2,7,6,4,1,3,5] => 1011100 => 0011101 => 1100010
[8,3,7,5,1,6,2,4] => 1011010 => 0101101 => 1010010
[8,5,7,1,4,2,6,3] => 1010101 => 1010101 => 0101010
[4,7,1,5,6,3,2,8] => 0100110 => 0110010 => 1001101
[4,5,7,1,6,3,8,2] => 0010101 => 1010100 => 0101011
[3,9,2,1,4,5,6,7,8] => 01100000 => 00000110 => 11111001
[4,6,5,7,2,3,8,1] => 0101001 => 1001010 => 0110101
[3,6,7,2,5,8,4,1] => 0010011 => 1100100 => 0011011
[5,3,6,7,4,8,1,2] => 1001010 => 0101001 => 1010110
[4,2,7,8,3,6,5,1] => 1001011 => 1101001 => 0010110
[4,2,7,8,5,6,1,3] => 1001010 => 0101001 => 1010110
[5,4,3,7,8,1,6,2] => 1100101 => 1010011 => 0101100
[3,5,7,8,4,2,1,6] => 0001110 => 0111000 => 1000111
[4,6,7,3,2,8,1,5] => 0011010 => 0101100 => 1010011
[4,6,5,3,7,8,1,2] => 0110010 => 0100110 => 1011001
[5,6,2,4,7,8,3,1] => 0100011 => 1100010 => 0011101
[5,6,3,2,8,4,7,1] => 0110101 => 1010110 => 0101001
[5,6,2,8,3,4,7,1] => 0101001 => 1001010 => 0110101
[3,7,4,8,1,6,5,2] => 0101011 => 1101010 => 0010101
[5,2,4,8,6,7,3,1] => 1001011 => 1101001 => 0010110
[5,2,6,4,8,7,3,1] => 1010111 => 1110101 => 0001010
[2,4,7,8,6,5,1,3] => 0001110 => 0111000 => 1000111
[3,4,5,6,8,9,1,7,2] => 00000101 => 10100000 => 01011111
[3,4,6,7,8,9,1,5,2] => 00000101 => 10100000 => 01011111
[3,5,6,7,8,9,1,4,2] => 00000101 => 10100000 => 01011111
[4,5,6,7,8,9,1,3,2] => 00000101 => 10100000 => 01011111
[3,4,5,6,7,9,10,1,8,2] => 000000101 => 101000000 => 010111111
[3,4,5,7,8,9,10,1,6,2] => 000000101 => 101000000 => 010111111
[5,2,6,7,8,1,4,3] => 1000101 => 1010001 => 0101110
[3,4,6,7,8,9,10,1,5,2] => 000000101 => 101000000 => 010111111
[4,5,6,7,8,9,10,1,3,2] => 000000101 => 101000000 => 010111111
[3,1,4,5,6,7,8,9,11,2,10] => 1000000010 => 0100000001 => 1011111110
[4,8,2,7,5,3,1,6] => 0101110 => 0111010 => 1000101
[1,2,4,6,5,8,3,7] => 0001010 => 0101000 => 1010111
[5,4,2,3,1,7,8,6] => 1101001 => 1001011 => 0110100
[3,5,8,1,7,4,2,6] => 0010110 => 0110100 => 1001011
[5,8,6,1,7,2,3,4] => 0110100 => 0010110 => 1101001
[5,1,4,3,8,2,6,7] => 1010100 => 0010101 => 1101010
[8,4,7,5,6,2,1,3] => 1010110 => 0110101 => 1001010
[3,8,6,7,5,2,4,1] => 0101101 => 1011010 => 0100101
[8,2,5,4,7,3,6,1] => 1010101 => 1010101 => 0101010
[4,2,8,7,3,6,5,1] => 1011011 => 1101101 => 0010010
[3,7,8,6,1,4,5,2] => 0011001 => 1001100 => 0110011
[4,6,7,8,2,1,5,3] => 0001101 => 1011000 => 0100111
[4,7,6,3,8,1,5,2] => 0110101 => 1010110 => 0101001
[3,8,1,4,6,2,5,7] => 0100100 => 0010010 => 1101101
[2,4,5,3,8,7,1,6] => 0010110 => 0110100 => 1001011
[4,7,5,6,2,8,1,3] => 0101010 => 0101010 => 1010101
[8,7,5,1,6,3,2,4] => 1110110 => 0110111 => 1001000
[7,8,6,2,3,5,1,4] => 0110010 => 0100110 => 1011001
[2,8,4,6,7,3,5,1] => 0100101 => 1010010 => 0101101
[4,1,6,7,8,2,5,3] => 1000101 => 1010001 => 0101110
[8,6,3,4,1,2,7,5] => 1101001 => 1001011 => 0110100
[2,5,8,4,6,1,3,7] => 0010100 => 0010100 => 1101011
[4,7,8,6,5,1,3,2] => 0011101 => 1011100 => 0100011
[8,4,6,7,3,5,2,1] => 1001011 => 1101001 => 0010110
[6,8,4,7,3,5,2,1] => 0101011 => 1101010 => 0010101
[7,4,5,8,3,6,2,1] => 1001011 => 1101001 => 0010110
[8,4,7,3,5,6,2,1] => 1010011 => 1100101 => 0011010
[3,6,4,2,8,1,7,5] => 0110101 => 1010110 => 0101001
[8,4,6,2,1,7,3,5] => 1011010 => 0101101 => 1010010
[3,8,6,2,1,7,4,5] => 0111010 => 0101110 => 1010001
[3,1,8,2,4,6,5,7] => 1010010 => 0100101 => 1011010
[8,1,7,6,2,5,4,3] => 1011011 => 1101101 => 0010010
[8,5,4,3,7,6,1,2] => 1110110 => 0110111 => 1001000
[4,8,1,3,6,7,5,2] => 0100011 => 1100010 => 0011101
[3,5,8,6,1,7,4,2] => 0011011 => 1101100 => 0010011
[8,1,4,7,5,2,6,3] => 1001101 => 1011001 => 0100110
[1,4,8,6,7,3,5,2] => 0010101 => 1010100 => 0101011
[4,1,6,7,8,5,3,2] => 1000111 => 1110001 => 0001110
[3,7,8,6,4,1,5,2] => 0011101 => 1011100 => 0100011
[5,4,2,3,6,7,8,9,1] => 11000001 => 10000011 => 01111100
[6,5,4,2,3,7,8,9,1] => 11100001 => 10000111 => 01111000
[7,6,5,4,2,3,8,9,1] => 11110001 => 10001111 => 01110000
[4,6,1,5,7,2,3,8] => 0100100 => 0010010 => 1101101
[4,8,5,3,2,7,1,6] => 0111010 => 0101110 => 1010001
[5,4,8,1,3,7,2,6] => 1010010 => 0100101 => 1011010
[8,4,5,3,1,7,2,6] => 1011010 => 0101101 => 1010010
[7,4,5,3,1,8,6,2] => 1011011 => 1101101 => 0010010
[5,6,8,7,2,4,3,1] => 0011011 => 1101100 => 0010011
[5,7,8,6,4,2,3,1] => 0011101 => 1011100 => 0100011
[6,8,7,5,1,3,2,4] => 0111010 => 0101110 => 1010001
[3,8,2,6,7,5,1,4] => 0100110 => 0110010 => 1001101
[4,7,6,3,8,2,5,1] => 0110101 => 1010110 => 0101001
[6,7,4,1,8,2,5,3] => 0110101 => 1010110 => 0101001
[5,7,6,8,3,2,4,1] => 0101101 => 1011010 => 0100101
[7,6,4,2,8,1,5,3] => 1110101 => 1010111 => 0101000
[6,3,4,8,7,1,2,5] => 1001100 => 0011001 => 1100110
[2,7,4,8,1,6,3,5] => 0101010 => 0101010 => 1010101
[5,3,1,6,7,8,2,4] => 1100010 => 0100011 => 1011100
[3,4,7,8,6,1,2,5] => 0001100 => 0011000 => 1100111
[2,1,4,7,8,6,3,5] => 1000110 => 0110001 => 1001110
[2,4,5,8,1,6,3,7] => 0001010 => 0101000 => 1010111
[3,4,6,8,2,5,7,1] => 0001001 => 1001000 => 0110111
[1,8,5,6,4,2,3,7] => 0101100 => 0011010 => 1100101
[1,8,7,6,2,4,5,3] => 0111001 => 1001110 => 0110001
[6,4,8,5,7,3,1,2] => 1010110 => 0110101 => 1001010
[1,6,4,7,2,5,8,3] => 0101001 => 1001010 => 0110101
[2,7,5,1,8,6,3,4] => 0110110 => 0110110 => 1001001
[4,7,1,6,5,3,8,2] => 0101101 => 1011010 => 0100101
[1,7,5,6,4,8,2,3] => 0101010 => 0101010 => 1010101
[2,4,8,5,7,3,1,6] => 0010110 => 0110100 => 1001011
[8,3,1,4,6,2,7,5] => 1100101 => 1010011 => 0101100
[7,2,6,4,5,8,1,3] => 1010010 => 0100101 => 1011010
[7,2,5,4,6,8,1,3] => 1010010 => 0100101 => 1011010
[4,6,7,8,9,1,2,3,5] => 00001000 => 00010000 => 11101111
[5,7,8,9,1,2,3,4,6] => 00010000 => 00001000 => 11110111
[6,4,5,7,3,8,2,9,1,10] => 100101010 => 010101001 => 101010110
[2,7,1,5,3,8,6,4] => 0101011 => 1101010 => 0010101
[3,5,7,2,8,4,1,6] => 0010110 => 0110100 => 1001011
[2,4,3,8,5,1,7,6] => 0101101 => 1011010 => 0100101
[7,3,2,1,4,8,6,5] => 1110011 => 1100111 => 0011000
[2,8,3,4,1,7,6,5] => 0101011 => 1101010 => 0010101
[4,7,6,8,2,5,3,1] => 0101011 => 1101010 => 0010101
[2,6,7,1,4,5,8,3] => 0010001 => 1000100 => 0111011
[8,7,2,6,1,5,3,4] => 1101010 => 0101011 => 1010100
[7,1,3,8,2,6,4,5] => 1001010 => 0101001 => 1010110
[6,2,5,3,4,7,1,8] => 1010010 => 0100101 => 1011010
[2,7,3,4,1,5,8,6] => 0101001 => 1001010 => 0110101
[2,5,8,1,6,7,3,4] => 0010010 => 0100100 => 1011011
[6,2,8,3,4,5,1,7] => 1010010 => 0100101 => 1011010
[7,3,4,6,8,2,1,5] => 1000110 => 0110001 => 1001110
[5,1,3,7,2,8,4,6] => 1001010 => 0101001 => 1010110
[5,2,4,6,1,7,8,3] => 1001001 => 1001001 => 0110110
[3,8,4,6,1,5,7,2] => 0101001 => 1001010 => 0110101
[8,7,3,2,5,1,6,4] => 1110101 => 1010111 => 0101000
[3,6,4,1,2,5,8,7] => 0110001 => 1000110 => 0111001
[5,2,7,1,4,3,6,8] => 1010100 => 0010101 => 1101010
[6,3,1,4,2,5,8,7] => 1101001 => 1001011 => 0110100
[5,2,3,1,4,6,8,7] => 1010001 => 1000101 => 0111010
[4,2,7,1,3,5,8,6] => 1010001 => 1000101 => 0111010
[3,5,4,1,6,2,8,7] => 0110101 => 1010110 => 0101001
[4,5,7,2,8,3,1,6] => 0010110 => 0110100 => 1001011
[3,5,1,7,6,2,8,4] => 0101101 => 1011010 => 0100101
[8,3,6,2,7,5,4,1] => 1010111 => 1110101 => 0001010
[8,4,2,6,5,3,7,1] => 1101101 => 1011011 => 0100100
[5,4,2,7,1,8,6,3] => 1101011 => 1101011 => 0010100
[4,1,7,6,5,3,2,8] => 1011110 => 0111101 => 1000010
[2,3,6,7,1,8,5,4] => 0001011 => 1101000 => 0010111
[3,6,1,2,7,8,5,4] => 0100011 => 1100010 => 0011101
[4,5,1,8,7,6,3,2] => 0101111 => 1111010 => 0000101
[8,4,5,2,7,6,3,1] => 1010111 => 1110101 => 0001010
[4,1,3,6,7,5,2,8] => 1000110 => 0110001 => 1001110
[3,1,4,5,7,6,2,8] => 1000110 => 0110001 => 1001110
[4,5,1,3,6,8,7,2] => 0100011 => 1100010 => 0011101
[3,8,5,1,2,4,6,7] => 0110000 => 0000110 => 1111001
[8,5,1,2,4,3,6,7] => 1100100 => 0010011 => 1101100
[5,8,4,1,2,3,6,7] => 0110000 => 0000110 => 1111001
[3,5,8,1,4,2,7,6] => 0010101 => 1010100 => 0101011
[2,8,5,7,1,4,3,6] => 0101010 => 0101010 => 1010101
[4,8,7,5,1,2,3,6] => 0111000 => 0001110 => 1110001
[8,1,2,4,6,3,7,5] => 1000101 => 1010001 => 0101110
[7,6,1,4,2,3,8,5] => 1101001 => 1001011 => 0110100
[6,1,2,7,8,4,3,5] => 1000110 => 0110001 => 1001110
[7,8,1,2,5,3,4,6] => 0100100 => 0010010 => 1101101
[1,8,4,7,5,2,3,6] => 0101100 => 0011010 => 1100101
[8,4,7,2,1,6,3,5] => 1011010 => 0101101 => 1010010
[4,5,8,2,1,6,7,3] => 0011001 => 1001100 => 0110011
[7,4,2,5,3,6,1,8] => 1101010 => 0101011 => 1010100
[3,1,6,7,5,2,4,8] => 1001100 => 0011001 => 1100110
[8,4,2,5,3,6,7,1] => 1101001 => 1001011 => 0110100
[4,8,1,5,3,6,7,2] => 0101001 => 1001010 => 0110101
[4,1,7,5,2,6,3,8] => 1011010 => 0101101 => 1010010
[5,1,4,6,3,7,8,2] => 1001001 => 1001001 => 0110110
[7,1,5,3,6,8,2,4] => 1010010 => 0100101 => 1011010
[8,1,5,3,6,7,2,4] => 1010010 => 0100101 => 1011010
[3,6,5,2,4,7,8,1] => 0110001 => 1000110 => 0111001
[1,7,5,4,6,8,2,3] => 0110010 => 0100110 => 1011001
[4,7,8,2,5,6,1,3] => 0010010 => 0100100 => 1011011
[2,8,5,4,6,7,1,3] => 0110010 => 0100110 => 1011001
[7,5,1,3,2,6,4,8,9] => 11010100 => 00101011 => 11010100
[9,6,1,3,4,2,7,8,5] => 11001001 => 10010011 => 01101100
[8,3,6,1,4,2,7,5,9] => 10101010 => 01010101 => 10101010
[9,8,1,7,2,3,4,5,6] => 11010000 => 00001011 => 11110100
[9,3,4,7,1,5,2,8,6] => 10010101 => 10101001 => 01010110
[7,5,1,3,2,6,4,8,9,10] => 110101000 => 000101011 => 111010100
[9,6,1,3,4,2,7,8,5,10] => 110010010 => 010010011 => 101101100
[8,3,6,1,4,2,7,5,9,10] => 101010100 => 001010101 => 110101010
[10,1,8,3,2,5,7,4,9,6] => 101100101 => 101001101 => 010110010
[10,3,7,1,4,5,2,8,9,6] => 101001001 => 100100101 => 011011010
[9,3,4,7,1,5,2,8,6,10] => 100101010 => 010101001 => 101010110
[7,10,1,3,8,2,6,5,9,4] => 010010101 => 101010010 => 010101101
[10,9,5,1,8,2,4,3,6,7] => 111010100 => 001010111 => 110101000
[10,3,4,5,8,1,6,2,9,7] => 100010101 => 101010001 => 010101110
[4,5,2,6,1,8,3,7] => 0101010 => 0101010 => 1010101
[5,1,8,6,7,3,4,2] => 1010101 => 1010101 => 0101010
[6,8,3,2,4,1,5,7] => 0110100 => 0010110 => 1101001
[5,4,8,2,1,3,6,7] => 1011000 => 0001101 => 1110010
[1,4,8,3,2,6,5,7] => 0011010 => 0101100 => 1010011
[1,3,8,4,2,7,5,6] => 0011010 => 0101100 => 1010011
[7,2,8,3,1,4,5,6] => 1011000 => 0001101 => 1110010
[8,1,3,2,7,5,4,6] => 1010110 => 0110101 => 1001010
[9,8,7,5,6,4,3,2,10,1] => 111011101 => 101110111 => 010001000
[8,7,5,4,6,3,2,9,1] => 11101101 => 10110111 => 01001000
[8,7,4,6,5,3,2,9,1] => 11011101 => 10111011 => 01000100
[2,3,4,7,8,9,6,5,1] => 00000111 => 11100000 => 00011111
[2,3,6,7,8,9,5,4,1] => 00000111 => 11100000 => 00011111
[2,5,6,7,8,9,4,3,1] => 00000111 => 11100000 => 00011111
[2,3,4,5,6,1,9,8,7] => 00001011 => 11010000 => 00101111
[2,3,4,5,1,9,8,7,6] => 00010111 => 11101000 => 00010111
[2,3,4,5,6,9,10,8,7,1] => 000000111 => 111000000 => 000111111
[2,3,4,1,8,9,7,6,5] => 00100111 => 11100100 => 00011011
[2,3,4,5,8,9,10,7,6,1] => 000000111 => 111000000 => 000111111
[2,3,1,7,8,9,6,5,4] => 01000111 => 11100010 => 00011101
[2,3,4,7,8,9,10,6,5,1] => 000000111 => 111000000 => 000111111
[2,1,6,7,8,9,5,4,3] => 10000111 => 11100001 => 00011110
[2,3,6,7,8,9,10,5,4,1] => 000000111 => 111000000 => 000111111
[2,5,6,7,8,9,10,4,3,1] => 000000111 => 111000000 => 000111111
[9,10,2,4,6,8,1,3,5,7] => 010001000 => 000100010 => 111011101
[7,8,2,4,6,10,1,3,5,9] => 010001000 => 000100010 => 111011101
[9,7,10,2,4,6,8,1,3,5] => 101000100 => 001000101 => 110111010
[8,9,10,7,2,4,6,1,3,5] => 001100100 => 001001100 => 110110011
[5,6,2,4,8,10,1,3,7,9] => 010001000 => 000100010 => 111011101
[5,6,9,10,2,4,8,1,3,7] => 000100100 => 001001000 => 110110111
[7,5,8,2,4,6,10,1,3,9] => 101000100 => 001000101 => 110111010
[7,9,5,10,2,4,6,8,1,3] => 010100010 => 010001010 => 101110101
[5,8,9,10,7,2,4,6,1,3] => 000110010 => 010011000 => 101100111
[6,7,8,5,2,4,10,1,3,9] => 001100100 => 001001100 => 110110011
[9,6,7,5,10,2,4,8,1,3] => 101010010 => 010010101 => 101101010
[8,9,6,10,5,7,2,4,1,3] => 010101010 => 010101010 => 101010101
[7,8,9,10,6,5,2,4,1,3] => 000111010 => 010111000 => 101000111
[3,4,2,6,8,10,1,5,7,9] => 010001000 => 000100010 => 111011101
[3,4,9,10,2,6,8,1,5,7] => 000100100 => 001001000 => 110110111
[3,4,7,8,2,6,10,1,5,9] => 000100100 => 001001000 => 110110111
[9,3,4,7,10,2,6,8,1,5] => 100010010 => 010010001 => 101101110
[8,9,10,3,4,7,2,6,1,5] => 001001010 => 010100100 => 101011011
[5,3,6,2,4,8,10,1,7,9] => 101000100 => 001000101 => 110111010
[5,3,6,9,10,2,4,8,1,7] => 100010010 => 010010001 => 101101110
[5,7,3,8,2,4,6,10,1,9] => 010100010 => 010001010 => 101110101
[5,7,9,3,10,2,4,6,8,1] => 001010001 => 100010100 => 011101011
[8,5,9,10,3,7,2,4,6,1] => 100101001 => 100101001 => 011010110
[3,6,7,8,5,2,4,10,1,9] => 000110010 => 010011000 => 101100111
[9,3,6,7,5,10,2,4,8,1] => 100101001 => 100101001 => 011010110
[6,8,3,9,10,5,7,2,4,1] => 010010101 => 101010010 => 010101101
[7,8,9,10,3,6,5,2,4,1] => 000101101 => 101101000 => 010010111
[4,5,6,3,2,8,10,1,7,9] => 001100100 => 001001100 => 110110011
[4,5,6,3,9,10,2,8,1,7] => 001001010 => 010100100 => 101011011
[7,4,5,3,8,2,6,10,1,9] => 101010010 => 010010101 => 101101010
[7,4,5,9,3,10,2,6,8,1] => 100101001 => 100101001 => 011010110
[4,8,5,9,10,3,7,2,6,1] => 010010101 => 101010010 => 010101101
[6,7,4,8,3,5,2,10,1,9] => 010101010 => 010101010 => 101010101
[6,7,9,4,3,5,10,2,8,1] => 001100101 => 101001100 => 010110011
[8,6,9,4,10,3,5,7,2,1] => 101010011 => 110010101 => 001101010
[7,4,8,9,10,6,3,5,2,1] => 100011011 => 110110001 => 001001110
[5,6,7,8,4,3,2,10,1,9] => 000111010 => 010111000 => 101000111
[9,5,6,7,4,3,10,2,8,1] => 100110101 => 101011001 => 010100110
[8,9,5,6,4,10,3,7,2,1] => 010101011 => 110101010 => 001010101
[7,8,9,5,10,4,6,3,2,1] => 001010111 => 111010100 => 000101011
[11,12,2,4,6,8,10,1,3,5,7,9] => 01000010000 => 00001000010 => 11110111101
[9,10,2,4,6,8,12,1,3,5,7,11] => 01000010000 => 00001000010 => 11110111101
[11,9,12,2,4,6,8,10,1,3,5,7] => 10100001000 => 00010000101 => 11101111010
[10,11,12,9,2,4,6,8,1,3,5,7] => 00110001000 => 00010001100 => 11101110011
[7,8,2,4,6,10,12,1,3,5,9,11] => 01000010000 => 00001000010 => 11110111101
[7,8,11,12,2,4,6,10,1,3,5,9] => 00010001000 => 00010001000 => 11101110111
[9,7,10,2,4,6,8,12,1,3,5,11] => 10100001000 => 00010000101 => 11101111010
[8,9,10,7,2,4,6,12,1,3,5,11] => 00110001000 => 00010001100 => 11101110011
[11,8,9,7,12,2,4,6,10,1,3,5] => 10101000100 => 00100010101 => 11011101010
[5,6,2,4,8,10,12,1,3,7,9,11] => 01000010000 => 00001000010 => 11110111101
[5,6,11,12,2,4,8,10,1,3,7,9] => 00010001000 => 00010001000 => 11101110111
[5,6,9,10,2,4,8,12,1,3,7,11] => 00010001000 => 00010001000 => 11101110111
[11,5,6,9,12,2,4,8,10,1,3,7] => 10001000100 => 00100010001 => 11011101110
[7,5,8,2,4,6,10,12,1,3,9,11] => 10100001000 => 00010000101 => 11101111010
[7,5,8,11,12,2,4,6,10,1,3,9] => 10001000100 => 00100010001 => 11011101110
[6,7,8,5,2,4,10,12,1,3,9,11] => 00110001000 => 00010001100 => 11101110011
[9,6,7,5,10,2,4,8,12,1,3,11] => 10101000100 => 00100010101 => 11011101010
[10,11,7,8,6,12,5,9,2,4,1,3] => 01010101010 => 01010101010 => 10101010101
[9,10,11,7,12,6,8,5,2,4,1,3] => 00101011010 => 01011010100 => 10100101011
[3,4,2,6,8,10,12,1,5,7,9,11] => 01000010000 => 00001000010 => 11110111101
[3,4,11,12,2,6,8,10,1,5,7,9] => 00010001000 => 00010001000 => 11101110111
[3,4,9,10,2,6,8,12,1,5,7,11] => 00010001000 => 00010001000 => 11101110111
[11,3,4,9,12,2,6,8,10,1,5,7] => 10001000100 => 00100010001 => 11011101110
[3,4,7,8,2,6,10,12,1,5,9,11] => 00010001000 => 00010001000 => 11101110111
[3,4,7,8,11,12,2,6,10,1,5,9] => 00000100100 => 00100100000 => 11011011111
[9,3,4,7,10,2,6,8,12,1,5,11] => 10001000100 => 00100010001 => 11011101110
[9,11,3,4,7,12,2,6,8,10,1,5] => 01000100010 => 01000100010 => 10111011101
[3,10,11,12,4,7,9,2,6,8,1,5] => 00010010010 => 01001001000 => 10110110111
[10,11,8,12,3,4,7,9,2,6,1,5] => 01010001010 => 01010001010 => 10101110101
[5,3,6,2,4,8,10,12,1,7,9,11] => 10100001000 => 00010000101 => 11101111010
[5,3,6,11,12,2,4,8,10,1,7,9] => 10001000100 => 00100010001 => 11011101110
[5,3,6,9,10,2,4,8,12,1,7,11] => 10001000100 => 00100010001 => 11011101110
[5,11,3,6,9,12,2,4,8,10,1,7] => 01000100010 => 01000100010 => 10111011101
[5,10,11,12,3,6,9,2,4,8,1,7] => 00010010010 => 01001001000 => 10110110111
[5,7,3,8,11,12,2,4,6,10,1,9] => 01000100010 => 01000100010 => 10111011101
[5,7,9,11,3,12,2,4,6,8,10,1] => 00010100001 => 10000101000 => 01111010111
[8,11,5,9,3,7,12,2,4,6,10,1] => 01010010001 => 10001001010 => 01110110101
[8,10,11,5,12,3,7,9,2,4,6,1] => 00101001001 => 10010010100 => 01101101011
[5,9,10,11,12,8,3,7,2,4,6,1] => 00001101001 => 10010110000 => 01101001111
[3,6,7,8,5,11,12,2,4,10,1,9] => 00010010010 => 01001001000 => 10110110111
[6,8,9,3,11,5,7,12,2,4,10,1] => 00101001001 => 10010010100 => 01101101011
[9,6,10,11,12,3,8,5,7,2,4,1] => 10001010101 => 10101010001 => 01010101110
[9,10,11,7,12,3,6,8,5,2,4,1] => 00101001101 => 10110010100 => 01001101011
[8,9,10,11,12,7,3,6,5,2,4,1] => 00001101101 => 10110110000 => 01001001111
[4,5,6,3,2,8,10,12,1,7,9,11] => 00110001000 => 00010001100 => 11101110011
[4,5,6,11,3,9,12,2,8,10,1,7] => 00010010010 => 01001001000 => 10110110111
[4,5,6,10,11,12,3,9,2,8,1,7] => 00000101010 => 01010100000 => 10101011111
[7,4,5,3,8,2,6,10,12,1,9,11] => 10101000100 => 00100010101 => 11011101010
[4,8,11,5,9,3,7,12,2,6,10,1] => 00101001001 => 10010010100 => 01101101011
[4,8,10,11,5,12,3,7,9,2,6,1] => 00010100101 => 10100101000 => 01011010111
[4,5,9,10,11,12,8,3,7,2,6,1] => 00000110101 => 10101100000 => 01010011111
[6,7,4,8,3,5,11,12,2,10,1,9] => 01010001010 => 01010001010 => 10101110101
[6,7,9,4,11,3,5,12,2,8,10,1] => 00101001001 => 10010010100 => 01101101011
[7,8,10,4,11,6,12,3,5,9,2,1] => 00101010011 => 11001010100 => 00110101011
[9,7,10,4,11,12,6,8,3,5,2,1] => 10100101011 => 11010100101 => 00101011010
[4,8,9,10,11,12,7,6,3,5,2,1] => 00000111011 => 11011100000 => 00100011111
[8,9,5,6,4,10,3,7,2,12,1,11] => 01010101010 => 01010101010 => 10101010101
[9,5,10,6,11,12,4,8,3,7,2,1] => 10100101011 => 11010100101 => 00101011010
[7,8,9,5,10,4,6,3,2,12,1,11] => 00101011010 => 01011010100 => 10100101011
[7,8,9,11,5,4,6,3,12,2,10,1] => 00011010101 => 10101011000 => 01010100111
[10,7,8,11,5,4,6,12,3,9,2,1] => 10011001011 => 11010011001 => 00101100110
[9,10,7,11,5,12,4,6,8,3,2,1] => 01010100111 => 11100101010 => 00011010101
[8,9,5,10,11,12,7,4,6,3,2,1] => 01000110111 => 11101100010 => 00010011101
[11,6,7,8,9,5,4,3,12,2,10,1] => 10001110101 => 10101110001 => 01010001110
[10,11,6,7,8,5,4,12,3,9,2,1] => 01001101011 => 11010110010 => 00101001101
[9,10,11,6,7,5,12,4,8,3,2,1] => 00101010111 => 11101010100 => 00010101011
[8,9,10,11,6,12,5,7,4,3,2,1] => 00010101111 => 11110101000 => 00001010111
[7,6,1,8,2,5,4,3] => 1101011 => 1101011 => 0010100
[8,4,1,6,7,3,5,2] => 1100101 => 1010011 => 0101100
[5,8,4,2,1,6,3,7] => 0111010 => 0101110 => 1010001
[7,6,4,1,2,5,3,8] => 1110010 => 0100111 => 1011000
[5,4,2,8,1,6,3,7] => 1101010 => 0101011 => 1010100
[8,7,2,6,4,5,3,1] => 1101011 => 1101011 => 0010100
[7,2,8,4,3,6,1,5] => 1011010 => 0101101 => 1010010
[1,7,5,4,8,6,2,3] => 0110110 => 0110110 => 1001001
[4,8,6,3,5,2,1,7] => 0110110 => 0110110 => 1001001
[5,8,6,3,2,7,1,4] => 0111010 => 0101110 => 1010001
[5,7,6,3,2,4,8,1] => 0111001 => 1001110 => 0110001
[5,7,3,2,8,6,4,1] => 0110111 => 1110110 => 0001001
[4,5,1,6,8,2,7,3] => 0100101 => 1010010 => 0101101
[1,2,4,5,6,8,10,9,3,7] => 000000110 => 011000000 => 100111111
[1,2,3,5,7,8,10,6,9,4] => 000000101 => 101000000 => 010111111
[1,2,4,5,7,8,10,3,9,6] => 000000101 => 101000000 => 010111111
[1,2,4,6,7,5,10,8,3,9] => 000010110 => 011010000 => 100101111
[1,3,4,2,7,8,10,5,9,6] => 001000101 => 101000100 => 010111011
[1,3,4,6,7,2,10,8,5,9] => 000010110 => 011010000 => 100101111
[1,2,3,5,6,9,8,10,7,4] => 000001011 => 110100000 => 001011111
[1,2,4,5,6,9,8,10,3,7] => 000001010 => 010100000 => 101011111
[1,2,3,5,7,9,6,10,8,4] => 000001011 => 110100000 => 001011111
[1,2,4,5,7,9,3,10,8,6] => 000001011 => 110100000 => 001011111
[1,2,4,6,5,9,7,10,3,8] => 000101010 => 010101000 => 101010111
[1,3,4,2,7,9,5,10,8,6] => 001001011 => 110100100 => 001011011
[1,3,4,6,2,9,7,10,5,8] => 000101010 => 010101000 => 101010111
[1,2,3,5,8,7,9,6,10,4] => 000010101 => 101010000 => 010101111
[1,2,4,5,8,7,9,3,10,6] => 000010101 => 101010000 => 010101111
[1,2,4,6,8,5,9,3,10,7] => 000010101 => 101010000 => 010101111
[1,2,4,7,6,8,5,9,3,10] => 000101010 => 010101000 => 101010111
[1,3,4,2,8,7,9,5,10,6] => 001010101 => 101010100 => 010101011
[1,3,4,6,8,2,9,5,10,7] => 000010101 => 101010000 => 010101111
[1,3,4,7,6,8,2,9,5,10] => 000101010 => 010101000 => 101010111
[1,2,3,6,5,9,7,10,8,4] => 000101011 => 110101000 => 001010111
[1,2,4,6,3,9,7,10,8,5] => 000101011 => 110101000 => 001010111
[1,2,5,4,6,9,7,10,3,8] => 001001010 => 010100100 => 101011011
[1,3,2,6,4,9,7,10,8,5] => 010101011 => 110101010 => 001010101
[1,3,5,2,6,9,7,10,4,8] => 001001010 => 010100100 => 101011011
[1,2,3,6,8,5,9,7,10,4] => 000010101 => 101010000 => 010101111
[1,2,4,6,8,3,9,7,10,5] => 000010101 => 101010000 => 010101111
[1,2,5,4,8,6,9,3,10,7] => 001010101 => 101010100 => 010101011
[1,2,5,7,4,8,6,9,3,10] => 000101010 => 010101000 => 101010111
[1,3,2,6,8,4,9,7,10,5] => 010010101 => 101010010 => 010101101
[1,3,5,2,8,6,9,4,10,7] => 001010101 => 101010100 => 010101011
[1,3,5,7,2,8,6,9,4,10] => 000101010 => 010101000 => 101010111
[1,4,3,5,8,2,9,6,10,7] => 010010101 => 101010010 => 010101101
[1,4,3,7,5,8,2,9,6,10] => 010101010 => 010101010 => 101010101
[2,1,3,6,4,9,7,10,8,5] => 100101011 => 110101001 => 001010110
[2,1,5,3,6,9,7,10,4,8] => 101001010 => 010100101 => 101011010
[2,1,3,6,8,4,9,7,10,5] => 100010101 => 101010001 => 010101110
[2,1,5,3,8,6,9,4,10,7] => 101010101 => 101010101 => 010101010
[2,1,5,7,3,8,6,9,4,10] => 100101010 => 010101001 => 101010110
[2,4,1,5,8,3,9,6,10,7] => 010010101 => 101010010 => 010101101
[2,4,1,7,5,8,3,9,6,10] => 010101010 => 010101010 => 101010101
[1,6,3,7,2,4,8,5] => 0101001 => 1001010 => 0110101
[8,9,7,6,5,4,3,1,2] => 01111110 => 01111110 => 10000001
[8,6,7,5,4,3,2,1,9] => 10111110 => 01111101 => 10000010
[8,7,9,6,5,4,3,1,2] => 10111110 => 01111101 => 10000010
[9,7,8,6,5,4,3,1,2] => 10111110 => 01111101 => 10000010
[4,3,7,1,6,2,5,8] => 1010100 => 0010101 => 1101010
[4,3,1,6,7,2,5,8] => 1100100 => 0010011 => 1101100
[6,3,1,5,7,2,4,8] => 1100100 => 0010011 => 1101100
[8,7,5,4,3,6,9,2,1] => 11110011 => 11001111 => 00110000
[8,7,6,9,5,3,4,2,1] => 11011011 => 11011011 => 00100100
[8,7,9,6,5,4,2,3,1] => 10111101 => 10111101 => 01000010
[5,2,1,4,8,6,7,3] => 1100101 => 1010011 => 0101100
[4,5,2,1,3,7,6,8] => 0110010 => 0100110 => 1011001
[8,2,7,4,1,6,5,3] => 1011011 => 1101101 => 0010010
[3,2,8,4,1,6,5,7] => 1011010 => 0101101 => 1010010
[3,7,6,4,1,5,8,2] => 0111001 => 1001110 => 0110001
[7,1,8,4,2,3,6,5] => 1011001 => 1001101 => 0110010
[2,7,6,4,5,1,8,3] => 0110101 => 1010110 => 0101001
[4,6,8,1,7,3,5,2] => 0010101 => 1010100 => 0101011
[3,6,8,1,5,7,4,2] => 0010011 => 1100100 => 0011011
[2,8,3,1,6,7,4,5] => 0110010 => 0100110 => 1011001
[4,5,6,8,2,1,7,3] => 0001101 => 1011000 => 0100111
[4,5,6,8,1,3,7,2] => 0001001 => 1001000 => 0110111
[4,5,8,3,2,1,7,6] => 0011101 => 1011100 => 0100011
[4,5,1,3,2,6,7,8] => 0101000 => 0001010 => 1110101
[4,7,3,2,1,6,5,8] => 0111010 => 0101110 => 1010001
[4,7,8,3,5,1,6,2] => 0010101 => 1010100 => 0101011
[4,7,1,3,5,6,2,8] => 0100010 => 0100010 => 1011101
[4,8,3,2,1,6,7,5] => 0111001 => 1001110 => 0110001
[5,2,8,1,4,6,7,3] => 1010001 => 1000101 => 0111010
[5,6,3,7,8,1,4,2] => 0100101 => 1010010 => 0101101
[5,7,1,4,3,6,2,8] => 0101010 => 0101010 => 1010101
[6,2,3,7,1,5,4,8] => 1001010 => 0101001 => 1010110
[6,2,8,1,5,4,7,3] => 1010101 => 1010101 => 0101010
[6,1,3,4,5,2,7,8] => 1000100 => 0010001 => 1101110
[7,1,3,4,5,6,2,8] => 1000010 => 0100001 => 1011110
[7,2,5,1,3,6,4,8] => 1010010 => 0100101 => 1011010
[6,5,2,7,8,4,3,1] => 1100111 => 1110011 => 0001100
[7,5,3,6,4,2,1,8] => 1101110 => 0111011 => 1000100
[1,3,6,7,5,2,4,8] => 0001100 => 0011000 => 1100111
[1,5,2,6,8,7,3,4] => 0100110 => 0110010 => 1001101
[3,2,1,5,6,7,8,9,4] => 11000001 => 10000011 => 01111100
[3,2,6,1,4,7,8,9,5] => 10100001 => 10000101 => 01111010
[4,3,2,1,6,7,8,9,5] => 11100001 => 10000111 => 01111000
[3,2,7,8,1,4,5,9,6] => 10010001 => 10001001 => 01110110
[4,7,2,5,1,3,8,9,6] => 01010001 => 10001010 => 01110101
[4,3,2,7,1,5,8,9,6] => 11010001 => 10001011 => 01110100
[5,4,3,2,1,7,8,9,6] => 11110001 => 10001111 => 01110000
[4,3,2,8,9,1,5,6,7] => 11001000 => 00010011 => 11101100
[8,5,6,3,4,1,2,9,7] => 10101001 => 10010101 => 01101010
[5,3,8,2,6,1,4,9,7] => 10101001 => 10010101 => 01101010
[5,4,3,2,8,1,6,9,7] => 11101001 => 10010111 => 01101000
[6,5,4,3,2,1,8,9,7] => 11111001 => 10011111 => 01100000
[6,9,4,7,2,5,1,3,8] => 01010100 => 00101010 => 11010101
[6,4,3,9,2,7,1,5,8] => 11010100 => 00101011 => 11010100
[6,5,4,3,2,9,1,7,8] => 11110100 => 00101111 => 11010000
[5,6,1,2,3,7,8,9,10,4] => 010000001 => 100000010 => 011111101
[2,5,1,3,6,7,8,9,10,4] => 010000001 => 100000010 => 011111101
[3,2,1,5,6,7,8,9,10,4] => 110000001 => 100000011 => 011111100
[6,7,8,1,2,3,4,9,10,5] => 001000001 => 100000100 => 011111011
[2,6,7,1,3,4,8,9,10,5] => 001000001 => 100000100 => 011111011
[6,3,4,1,2,7,8,9,10,5] => 101000001 => 100000101 => 011111010
[3,2,6,1,4,7,8,9,10,5] => 101000001 => 100000101 => 011111010
[4,3,2,1,6,7,8,9,10,5] => 111000001 => 100000111 => 011111000
[2,7,8,9,1,3,4,5,10,6] => 000100001 => 100001000 => 011110111
[7,3,4,8,1,2,5,9,10,6] => 100100001 => 100001001 => 011110110
[3,2,7,8,1,4,5,9,10,6] => 100100001 => 100001001 => 011110110
[4,7,2,5,1,3,8,9,10,6] => 010100001 => 100001010 => 011110101
[4,3,2,7,1,5,8,9,10,6] => 110100001 => 100001011 => 011110100
[5,4,3,2,1,7,8,9,10,6] => 111100001 => 100001111 => 011110000
[8,3,4,9,10,1,2,5,6,7] => 100010000 => 000010001 => 111101110
[8,9,4,5,6,1,2,3,10,7] => 010010001 => 100010010 => 011101101
[4,3,2,8,9,1,5,6,10,7] => 110010001 => 100010011 => 011101100
[8,5,6,3,4,1,2,9,10,7] => 101010001 => 100010101 => 011101010
[5,3,8,2,6,1,4,9,10,7] => 101010001 => 100010101 => 011101010
[5,4,3,2,8,1,6,9,10,7] => 111010001 => 100010111 => 011101000
[6,5,4,3,2,1,8,9,10,7] => 111110001 => 100011111 => 011100000
[5,9,10,2,6,7,1,3,4,8] => 001001000 => 000100100 => 111011011
[9,5,6,3,4,10,1,2,7,8] => 101001000 => 000100101 => 111011010
[5,3,9,2,6,10,1,4,7,8] => 101001000 => 000100101 => 111011010
[5,4,3,2,9,10,1,6,7,8] => 111001000 => 000100111 => 111011000
[6,9,4,7,2,5,1,3,10,8] => 010101001 => 100101010 => 011010101
[6,4,3,9,2,7,1,5,10,8] => 110101001 => 100101011 => 011010100
[6,5,4,3,2,9,1,7,10,8] => 111101001 => 100101111 => 011010000
[7,6,5,4,3,2,1,9,10,8] => 111111001 => 100111111 => 011000000
[10,7,8,5,6,3,4,1,2,9] => 101010100 => 001010101 => 110101010
[7,5,10,3,8,2,6,1,4,9] => 101010100 => 001010101 => 110101010
[7,5,4,3,10,2,8,1,6,9] => 111010100 => 001010111 => 110101000
[7,6,5,4,3,2,10,1,8,9] => 111110100 => 001011111 => 110100000
[5,3,4,7,2,1,6,8] => 1001100 => 0011001 => 1100110
[7,6,9,5,4,3,2,1,8] => 10111110 => 01111101 => 10000010
[4,8,5,7,1,2,3,6] => 0101000 => 0001010 => 1110101
[4,2,3,7,6,1,8,5] => 1001101 => 1011001 => 0100110
[4,2,6,3,1,5,7,8] => 1011000 => 0001101 => 1110010
[2,1,8,7,4,3,6,5,10,9] => 101110101 => 101011101 => 010100010
[6,5,2,1,4,3,12,11,8,7,10,9] => 11101011101 => 10111010111 => 01000101000
[4,6,3,2,5,8,7,1] => 0110011 => 1100110 => 0011001
[5,8,4,3,2,6,1,7] => 0111010 => 0101110 => 1010001
[1,5,7,4,8,6,2,3] => 0010110 => 0110100 => 1001011
[6,1,5,7,3,8,2,4] => 1001010 => 0101001 => 1010110
[1,2,7,8,6,4,3,5] => 0001110 => 0111000 => 1000111
[3,5,1,7,8,6,2,4] => 0100110 => 0110010 => 1001101
[5,2,4,1,7,6,8,3] => 1010101 => 1010101 => 0101010
[2,1,4,3,6,5,7,9,10,8] => 101010001 => 100010101 => 011101010
[2,1,4,3,5,7,8,6,10,9] => 101000101 => 101000101 => 010111010
[2,1,4,3,5,7,6,9,10,8] => 101001001 => 100100101 => 011011010
[2,1,4,3,5,6,8,9,10,7] => 101000001 => 100000101 => 011111010
[2,1,3,5,6,4,8,7,10,9] => 100010101 => 101010001 => 010101110
[2,1,3,5,6,4,7,9,10,8] => 100010001 => 100010001 => 011101110
[2,1,3,5,4,7,8,6,10,9] => 100100101 => 101001001 => 010110110
[2,1,3,5,4,7,6,9,10,8] => 100101001 => 100101001 => 011010110
[2,1,3,5,4,6,8,9,10,7] => 100100001 => 100001001 => 011110110
[2,1,3,4,6,7,8,5,10,9] => 100000101 => 101000001 => 010111110
[2,1,3,4,6,7,5,9,10,8] => 100001001 => 100100001 => 011011110
[2,1,3,4,6,5,8,9,10,7] => 100010001 => 100010001 => 011101110
[2,1,3,4,5,7,8,9,10,6] => 100000001 => 100000001 => 011111110
[1,3,4,2,6,5,7,9,10,8] => 001010001 => 100010100 => 011101011
[1,3,4,2,5,7,8,6,10,9] => 001000101 => 101000100 => 010111011
[1,3,4,2,5,7,6,9,10,8] => 001001001 => 100100100 => 011011011
[1,3,4,2,5,6,8,9,10,7] => 001000001 => 100000100 => 011111011
[1,3,2,5,6,4,8,7,10,9] => 010010101 => 101010010 => 010101101
[1,3,2,5,6,4,7,9,10,8] => 010010001 => 100010010 => 011101101
[1,3,2,5,4,7,8,6,10,9] => 010100101 => 101001010 => 010110101
[1,3,2,5,4,7,6,9,10,8] => 010101001 => 100101010 => 011010101
[1,3,2,5,4,6,8,9,10,7] => 010100001 => 100001010 => 011110101
[1,3,2,4,6,7,8,5,10,9] => 010000101 => 101000010 => 010111101
[1,3,2,4,6,7,5,9,10,8] => 010001001 => 100100010 => 011011101
[1,3,2,4,6,5,8,9,10,7] => 010010001 => 100010010 => 011101101
[1,3,2,4,5,7,8,9,10,6] => 010000001 => 100000010 => 011111101
[1,2,4,5,6,3,8,7,10,9] => 000010101 => 101010000 => 010101111
[1,2,4,5,6,3,7,9,10,8] => 000010001 => 100010000 => 011101111
[1,2,4,5,3,7,8,6,10,9] => 000100101 => 101001000 => 010110111
[1,2,4,5,3,7,6,9,10,8] => 000101001 => 100101000 => 011010111
[1,2,4,5,3,6,8,9,10,7] => 000100001 => 100001000 => 011110111
[1,2,4,3,6,7,8,5,10,9] => 001000101 => 101000100 => 010111011
[1,2,4,3,6,7,5,9,10,8] => 001001001 => 100100100 => 011011011
[1,2,4,3,6,5,8,9,10,7] => 001010001 => 100010100 => 011101011
[1,2,4,3,5,7,8,9,10,6] => 001000001 => 100000100 => 011111011
[1,2,3,5,6,7,8,4,10,9] => 000000101 => 101000000 => 010111111
[1,2,3,5,6,7,4,9,10,8] => 000001001 => 100100000 => 011011111
[1,2,3,5,6,4,8,9,10,7] => 000010001 => 100010000 => 011101111
[1,2,3,5,4,7,8,9,10,6] => 000100001 => 100001000 => 011110111
[2,1,4,3,6,5,8,7,9,11,12,10] => 10101010001 => 10001010101 => 01110101010
[2,1,4,3,6,5,7,8,10,11,12,9] => 10101000001 => 10000010101 => 01111101010
[2,1,4,3,5,7,6,8,10,11,12,9] => 10100100001 => 10000100101 => 01111011010
[2,1,4,3,5,6,7,9,10,11,12,8] => 10100000001 => 10000000101 => 01111111010
[2,1,3,5,6,4,8,7,10,9,12,11] => 10001010101 => 10101010001 => 01010101110
[2,1,3,5,6,4,7,9,8,11,12,10] => 10001001001 => 10010010001 => 01101101110
[2,1,3,5,6,4,7,8,10,11,12,9] => 10001000001 => 10000010001 => 01111101110
[2,1,3,5,4,7,8,6,9,11,12,10] => 10010010001 => 10001001001 => 01110110110
[2,1,3,5,4,7,6,8,10,11,12,9] => 10010100001 => 10000101001 => 01111010110
[2,1,3,5,4,6,8,7,10,11,12,9] => 10010010001 => 10001001001 => 01110110110
[2,1,3,4,6,7,8,5,10,9,12,11] => 10000010101 => 10101000001 => 01010111110
[2,1,3,4,6,7,8,5,9,11,12,10] => 10000010001 => 10001000001 => 01110111110
[2,1,3,4,6,5,8,9,7,11,12,10] => 10001001001 => 10010010001 => 01101101110
[2,1,3,4,6,5,7,9,10,11,12,8] => 10001000001 => 10000010001 => 01111101110
[2,1,3,4,5,7,8,9,10,6,12,11] => 10000000101 => 10100000001 => 01011111110
[2,1,3,4,5,7,8,9,6,11,12,10] => 10000001001 => 10010000001 => 01101111110
[2,1,3,4,5,7,8,6,10,11,12,9] => 10000010001 => 10001000001 => 01110111110
[2,1,3,4,5,6,8,9,10,11,12,7] => 10000000001 => 10000000001 => 01111111110
[1,3,4,2,6,5,8,7,10,9,12,11] => 00101010101 => 10101010100 => 01010101011
[1,3,4,2,6,5,8,7,9,11,12,10] => 00101010001 => 10001010100 => 01110101011
[1,3,4,2,6,5,7,9,10,8,12,11] => 00101000101 => 10100010100 => 01011101011
[1,3,4,2,6,5,7,9,8,11,12,10] => 00101001001 => 10010010100 => 01101101011
[1,3,4,2,6,5,7,8,10,11,12,9] => 00101000001 => 10000010100 => 01111101011
[1,3,4,2,5,7,8,6,10,9,12,11] => 00100010101 => 10101000100 => 01010111011
[1,3,4,2,5,7,8,6,9,11,12,10] => 00100010001 => 10001000100 => 01110111011
[1,3,4,2,5,7,6,9,8,11,12,10] => 00100101001 => 10010100100 => 01101011011
[1,3,4,2,5,7,6,8,10,11,12,9] => 00100100001 => 10000100100 => 01111011011
[1,3,4,2,5,6,8,7,10,11,12,9] => 00100010001 => 10001000100 => 01110111011
[1,3,4,2,5,6,7,9,10,11,12,8] => 00100000001 => 10000000100 => 01111111011
[1,3,2,5,6,4,8,7,10,9,12,11] => 01001010101 => 10101010010 => 01010101101
[1,3,2,5,6,4,8,7,9,11,12,10] => 01001010001 => 10001010010 => 01110101101
[1,3,2,5,6,4,7,9,8,11,12,10] => 01001001001 => 10010010010 => 01101101101
[1,3,2,5,6,4,7,8,10,11,12,9] => 01001000001 => 10000010010 => 01111101101
[1,3,2,5,4,7,8,6,9,11,12,10] => 01010010001 => 10001001010 => 01110110101
[1,3,2,5,4,7,6,8,10,11,12,9] => 01010100001 => 10000101010 => 01111010101
[1,3,2,5,4,6,8,7,10,11,12,9] => 01010010001 => 10001001010 => 01110110101
[1,3,2,5,4,6,7,9,10,11,12,8] => 01010000001 => 10000001010 => 01111110101
[1,3,2,4,6,7,5,8,10,11,12,9] => 01000100001 => 10000100010 => 01111011101
[1,3,2,4,6,5,8,9,7,11,12,10] => 01001001001 => 10010010010 => 01101101101
[1,3,2,4,6,5,8,7,10,11,12,9] => 01001010001 => 10001010010 => 01110101101
[1,3,2,4,6,5,7,9,10,11,12,8] => 01001000001 => 10000010010 => 01111101101
[1,3,2,4,5,7,8,9,10,6,12,11] => 01000000101 => 10100000010 => 01011111101
[1,3,2,4,5,7,6,9,10,11,12,8] => 01000100001 => 10000100010 => 01111011101
[1,3,2,4,5,6,8,9,10,11,12,7] => 01000000001 => 10000000010 => 01111111101
[1,2,4,5,6,3,8,7,10,9,12,11] => 00001010101 => 10101010000 => 01010101111
[1,2,4,5,6,3,8,7,9,11,12,10] => 00001010001 => 10001010000 => 01110101111
[1,2,4,5,6,3,7,9,10,8,12,11] => 00001000101 => 10100010000 => 01011101111
[1,2,4,5,6,3,7,9,8,11,12,10] => 00001001001 => 10010010000 => 01101101111
[1,2,4,5,6,3,7,8,10,11,12,9] => 00001000001 => 10000010000 => 01111101111
[1,2,4,5,3,7,8,6,10,9,12,11] => 00010010101 => 10101001000 => 01010110111
[1,2,4,5,3,7,8,6,9,11,12,10] => 00010010001 => 10001001000 => 01110110111
[1,2,4,5,3,7,6,9,10,8,12,11] => 00010100101 => 10100101000 => 01011010111
[1,2,4,5,3,7,6,9,8,11,12,10] => 00010101001 => 10010101000 => 01101010111
[1,2,4,5,3,7,6,8,10,11,12,9] => 00010100001 => 10000101000 => 01111010111
[1,2,4,5,3,6,8,9,10,7,12,11] => 00010000101 => 10100001000 => 01011110111
[1,2,4,5,3,6,8,9,7,11,12,10] => 00010001001 => 10010001000 => 01101110111
[1,2,4,5,3,6,8,7,10,11,12,9] => 00010010001 => 10001001000 => 01110110111
[1,2,4,3,6,7,8,5,10,9,12,11] => 00100010101 => 10101000100 => 01010111011
[1,2,4,3,6,7,8,5,9,11,12,10] => 00100010001 => 10001000100 => 01110111011
[1,2,4,3,6,7,5,9,8,11,12,10] => 00100101001 => 10010100100 => 01101011011
[1,2,4,3,6,7,5,8,10,11,12,9] => 00100100001 => 10000100100 => 01111011011
[1,2,4,3,6,5,8,9,10,7,12,11] => 00101000101 => 10100010100 => 01011101011
[1,2,4,3,6,5,8,9,7,11,12,10] => 00101001001 => 10010010100 => 01101101011
[1,2,4,3,6,5,8,7,10,11,12,9] => 00101010001 => 10001010100 => 01110101011
[1,2,4,3,6,5,7,9,10,11,12,8] => 00101000001 => 10000010100 => 01111101011
[1,2,4,3,5,7,8,6,10,11,12,9] => 00100010001 => 10001000100 => 01110111011
[1,2,4,3,5,7,6,9,10,11,12,8] => 00100100001 => 10000100100 => 01111011011
[1,2,4,3,5,6,8,9,10,11,12,7] => 00100000001 => 10000000100 => 01111111011
[1,2,3,5,6,7,8,4,10,9,12,11] => 00000010101 => 10101000000 => 01010111111
[1,2,3,5,6,7,8,4,9,11,12,10] => 00000010001 => 10001000000 => 01110111111
[1,2,3,5,6,7,4,9,10,8,12,11] => 00000100101 => 10100100000 => 01011011111
[1,2,3,5,6,7,4,9,8,11,12,10] => 00000101001 => 10010100000 => 01101011111
[1,2,3,5,6,7,4,8,10,11,12,9] => 00000100001 => 10000100000 => 01111011111
[1,2,3,5,6,4,8,9,10,7,12,11] => 00001000101 => 10100010000 => 01011101111
[1,2,3,5,6,4,8,9,7,11,12,10] => 00001001001 => 10010010000 => 01101101111
[1,2,3,5,6,4,8,7,10,11,12,9] => 00001010001 => 10001010000 => 01110101111
[1,2,3,5,6,4,7,9,10,11,12,8] => 00001000001 => 10000010000 => 01111101111
[1,2,3,5,4,7,8,9,10,6,12,11] => 00010000101 => 10100001000 => 01011110111
[1,2,3,5,4,7,8,9,6,11,12,10] => 00010001001 => 10010001000 => 01101110111
[1,2,3,5,4,7,8,6,10,11,12,9] => 00010010001 => 10001001000 => 01110110111
[1,2,3,5,4,7,6,9,10,11,12,8] => 00010100001 => 10000101000 => 01111010111
[1,2,3,4,6,7,8,9,10,5,12,11] => 00000000101 => 10100000000 => 01011111111
[1,2,3,4,6,7,8,9,5,11,12,10] => 00000001001 => 10010000000 => 01101111111
[1,2,3,4,6,7,8,5,10,11,12,9] => 00000010001 => 10001000000 => 01110111111
[1,2,3,4,6,7,5,9,10,11,12,8] => 00000100001 => 10000100000 => 01111011111
[1,2,3,4,6,5,8,9,10,11,12,7] => 00001000001 => 10000010000 => 01111101111
[1,2,3,4,5,7,8,9,10,11,12,6] => 00000000001 => 10000000000 => 01111111111
[2,3,4,9,6,7,8,5,1] => 00010011 => 11001000 => 00110111
[2,3,9,5,6,7,8,4,1] => 00100011 => 11000100 => 00111011
[2,9,4,5,6,7,8,3,1] => 01000011 => 11000010 => 00111101
[9,3,4,5,6,7,8,2,1] => 10000011 => 11000001 => 00111110
[2,3,4,5,6,10,8,9,7,1] => 000001011 => 110100000 => 001011111
[2,3,4,1,9,7,8,6,5] => 00101011 => 11010100 => 00101011
[2,3,4,5,10,7,8,9,6,1] => 000010011 => 110010000 => 001101111
[2,3,1,9,6,7,8,5,4] => 01010011 => 11001010 => 00110101
[2,3,4,10,6,7,8,9,5,1] => 000100011 => 110001000 => 001110111
[2,1,9,5,6,7,8,4,3] => 10100011 => 11000101 => 00111010
[2,3,10,5,6,7,8,9,4,1] => 001000011 => 110000100 => 001111011
[1,9,4,5,6,7,8,3,2] => 01000011 => 11000010 => 00111101
[2,10,4,5,6,7,8,9,3,1] => 010000011 => 110000010 => 001111101
[10,3,4,5,6,7,8,9,2,1] => 100000011 => 110000001 => 001111110
[5,6,4,7,3,9,1,8,2] => 01010101 => 10101010 => 01010101
[5,6,4,9,1,8,2,7,3] => 01010101 => 10101010 => 01010101
[5,9,1,8,2,7,3,6,4] => 01010101 => 10101010 => 01010101
[9,1,8,2,7,3,6,4,5] => 10101010 => 01010101 => 10101010
[5,4,3,8,1,7,2,6] => 1101010 => 0101011 => 1010100
[5,4,9,1,8,2,7,3,6] => 10101010 => 01010101 => 10101010
[5,4,6,3,9,1,8,2,7] => 10101010 => 01010101 => 10101010
[5,4,6,3,7,2,9,1,8] => 10101010 => 01010101 => 10101010
[6,5,7,4,8,3,10,1,9,2] => 101010101 => 101010101 => 010101010
[5,6,4,8,2,9,1,7,3] => 01010101 => 10101010 => 01010101
[6,5,7,4,10,1,9,2,8,3] => 101010101 => 101010101 => 010101010
[5,7,3,9,1,8,2,6,4] => 01010101 => 10101010 => 01010101
[6,5,10,1,9,2,8,3,7,4] => 101010101 => 101010101 => 010101010
[6,4,9,1,8,2,7,3,5] => 10101010 => 01010101 => 10101010
[4,5,9,1,8,2,7,3,6] => 00101010 => 01010100 => 10101011
[5,10,1,9,2,8,3,7,4,6] => 010101010 => 010101010 => 101010101
[6,4,5,3,9,1,8,2,7] => 10101010 => 01010101 => 10101010
[5,6,4,10,1,9,2,8,3,7] => 010101010 => 010101010 => 101010101
[5,4,7,3,6,2,9,1,8] => 10101010 => 01010101 => 10101010
[5,6,4,7,3,10,1,9,2,8] => 010101010 => 010101010 => 101010101
[5,6,4,7,3,8,2,10,1,9] => 010101010 => 010101010 => 101010101
[7,3,1,5,6,8,4,2] => 1100011 => 1100011 => 0011100
[2,10,1,3,4,5,6,9,7,8] => 010000010 => 010000010 => 101111101
[2,9,1,3,4,5,6,7,10,8] => 010000001 => 100000010 => 011111101
[12,1,2,3,4,5,6,7,8,11,9,10] => 10000000010 => 01000000001 => 10111111110
[2,11,1,3,4,5,6,7,10,8,9] => 0100000010 => 0100000010 => 1011111101
[10,3,1,2,4,5,6,9,7,8] => 110000010 => 010000011 => 101111100
[3,1,10,2,4,5,6,9,7,8] => 101000010 => 010000101 => 101111010
[9,3,1,2,4,5,6,7,10,8] => 110000001 => 100000011 => 011111100
[3,1,9,2,4,5,6,7,10,8] => 101000001 => 100000101 => 011111010
[2,10,1,3,4,5,6,7,8,11,9] => 0100000001 => 1000000010 => 0111111101
[7,2,3,1,6,8,4,5] => 1010010 => 0100101 => 1011010
[4,1,8,2,5,6,3,7] => 1010010 => 0100101 => 1011010
[5,7,8,1,6,2,3,4] => 0010100 => 0010100 => 1101011
[1,6,4,2,7,3,8,5] => 0110101 => 1010110 => 0101001
[1,4,2,5,8,6,3,7] => 0100110 => 0110010 => 1001101
[4,3,2,1,8,9,7,6,5] => 11100111 => 11100111 => 00011000
[4,8,2,1,5,7,3,6] => 0110010 => 0100110 => 1011001
[5,2,7,1,6,3,4,8] => 1010100 => 0010101 => 1101010
[4,8,2,5,1,6,3,7] => 0101010 => 0101010 => 1010101
[5,8,1,2,4,6,3,7] => 0100010 => 0100010 => 1011101
[5,1,7,3,6,4,2,8] => 1010110 => 0110101 => 1001010
[3,2,7,5,6,1,4,8] => 1010100 => 0010101 => 1101010
[3,2,7,1,6,4,5,8] => 1010100 => 0010101 => 1101010
[6,3,1,7,5,4,2,8] => 1101110 => 0111011 => 1000100
[9,8,3,4,5,6,7,1,2] => 11000010 => 01000011 => 10111100
[9,8,2,3,4,5,6,1,7] => 11000010 => 01000011 => 10111100
[6,2,8,7,3,4,5,1] => 1011001 => 1001101 => 0110010
[9,4,5,6,7,8,2,1,3] => 10000110 => 01100001 => 10011110
[9,3,4,5,6,7,2,1,8] => 10000110 => 01100001 => 10011110
[11,2,1,3,4,5,6,7,8,9,10] => 1100000000 => 0000000011 => 1111111100
[12,11,1,2,3,4,5,6,7,8,9,10] => 11000000000 => 00000000011 => 11111111100
[11,10,2,3,4,5,6,7,8,9,1] => 1100000001 => 1000000011 => 0111111100
[10,9,3,4,5,6,7,8,1,2] => 110000010 => 010000011 => 101111100
[10,9,2,3,4,5,6,7,1,8] => 110000010 => 010000011 => 101111100
[7,2,9,8,3,4,5,6,1] => 10110001 => 10001101 => 01110010
[9,8,2,3,4,5,1,6,7] => 11000100 => 00100011 => 11011100
[7,3,4,8,5,6,2,1] => 1001011 => 1101001 => 0010110
[9,5,6,7,8,2,1,3,4] => 10001100 => 00110001 => 11001110
[7,3,6,8,4,5,2,1] => 1001011 => 1101001 => 0010110
[8,3,9,4,5,6,7,2,1] => 10100011 => 11000101 => 00111010
[10,4,5,6,7,8,9,2,1,3] => 100000110 => 011000001 => 100111110
[9,3,4,5,6,2,1,7,8] => 10001100 => 00110001 => 11001110
[10,3,4,5,6,7,8,2,1,9] => 100000110 => 011000001 => 100111110
[11,3,4,5,6,7,8,9,10,2,1] => 1000000011 => 1100000001 => 0011111110
[12,2,1,3,4,5,6,7,8,9,10,11] => 11000000000 => 00000000011 => 11111111100
[5,6,2,8,3,1,7,4] => 0101101 => 1011010 => 0100101
[1,4,7,5,6,2,8,3] => 0010101 => 1010100 => 0101011
[1,7,4,8,3,5,6,2] => 0101001 => 1001010 => 0110101
[5,3,1,4,8,6,2,7] => 1100110 => 0110011 => 1001100
[5,2,4,8,3,1,6,7] => 1001100 => 0011001 => 1100110
[7,4,5,1,8,6,2,3] => 1010110 => 0110101 => 1001010
[8,1,5,7,6,3,2,4] => 1001110 => 0111001 => 1000110
[1,8,6,7,5,3,2,4] => 0101110 => 0111010 => 1000101
[7,4,8,3,1,6,5,2] => 1011011 => 1101101 => 0010010
[8,1,5,3,7,6,2,4] => 1010110 => 0110101 => 1001010
[6,4,8,7,3,5,1,2] => 1011010 => 0101101 => 1010010
[6,1,4,2,3,5,7,8] => 1010000 => 0000101 => 1111010
[7,1,4,3,8,6,5,2] => 1010111 => 1110101 => 0001010
[6,1,5,7,2,8,3,4] => 1001010 => 0101001 => 1010110
[1,8,2,6,7,4,3,5] => 0100110 => 0110010 => 1001101
[1,6,2,7,3,8,4,9,5] => 01010101 => 10101010 => 01010101
[1,8,5,2,9,6,3,10,7,4] => 011011011 => 110110110 => 001001001
[7,2,4,1,8,5,3,6] => 1010110 => 0110101 => 1001010
[4,7,2,6,1,8,3,5] => 0101010 => 0101010 => 1010101
[8,7,3,5,2,1,6,4] => 1101101 => 1011011 => 0100100
[7,5,3,2,1,6,8,4] => 1111001 => 1001111 => 0110000
[6,8,1,3,4,2,5,7] => 0100100 => 0010010 => 1101101
[3,6,1,4,7,8,2,5] => 0100010 => 0100010 => 1011101
[2,5,7,1,3,6,4,8] => 0010010 => 0100100 => 1011011
[1,4,7,2,5,3,6,8] => 0010100 => 0010100 => 1101011
[4,5,3,1,2,6,8,7] => 0110001 => 1000110 => 0111001
[4,5,1,3,8,2,6,7] => 0100100 => 0010010 => 1101101
[4,1,5,3,2,7,6,8] => 1011010 => 0101101 => 1010010
[7,3,5,1,4,2,6,8] => 1010100 => 0010101 => 1101010
[6,2,1,7,4,3,8,5] => 1101101 => 1011011 => 0100100
[2,4,3,6,7,1,5,8] => 0100100 => 0010010 => 1101101
[7,3,5,2,1,6,4,8] => 1011010 => 0101101 => 1010010
[4,6,5,2,1,3,7,8] => 0111000 => 0001110 => 1110001
[2,5,6,1,4,3,7,8] => 0010100 => 0010100 => 1101011
[6,1,5,3,7,2,4,8] => 1010100 => 0010101 => 1101010
[3,6,5,4,1,7,2,8] => 0111010 => 0101110 => 1010001
[10,9,3,8,7,6,5,4,2,1] => 110111111 => 111111011 => 000000100
[8,7,6,4,5,3,2,1,10,9] => 111011101 => 101110111 => 010001000
[10,9,8,6,5,4,7,3,2,1] => 111110111 => 111011111 => 000100000
[9,11,1,2,3,4,5,6,7,8,10] => 0100000000 => 0000000010 => 1111111101
[6,7,1,9,2,3,4,5,8] => 01010000 => 00001010 => 11110101
[6,1,8,9,2,3,4,5,7] => 10010000 => 00001001 => 11110110
[8,1,9,10,2,3,4,5,6,7] => 100100000 => 000001001 => 111110110
[6,8,7,5,4,2,1,3] => 0111110 => 0111110 => 1000001
[1,6,8,7,3,2,4,5] => 0011100 => 0011100 => 1100011
[8,7,5,4,6,1,3,2] => 1110101 => 1010111 => 0101000
[1,7,8,2,4,6,3,5] => 0010010 => 0100100 => 1011011
[7,5,4,8,1,3,6,2] => 1101001 => 1001011 => 0110100
[5,6,1,8,4,3,7,2] => 0101101 => 1011010 => 0100101
[1,8,2,6,7,5,4,3] => 0100111 => 1110010 => 0001101
[2,7,5,1,6,8,3,4] => 0110010 => 0100110 => 1011001
[8,5,4,2,7,3,6,1] => 1110101 => 1010111 => 0101000
[3,8,6,1,2,4,5,7] => 0110000 => 0000110 => 1111001
[1,8,5,3,2,7,4,6] => 0111010 => 0101110 => 1010001
[1,8,4,7,2,3,5,6] => 0101000 => 0001010 => 1110101
[3,2,8,1,7,5,4,6] => 1010110 => 0110101 => 1001010
[3,4,5,6,2,1,7,8,9] => 00011000 => 00011000 => 11100111
[3,4,5,2,1,6,7,8,9] => 00110000 => 00001100 => 11110011
[7,1,5,6,2,3,4,8] => 1001000 => 0001001 => 1110110
[6,5,1,7,2,3,4,8] => 1101000 => 0001011 => 1110100
[1,6,8,2,7,3,4,5] => 0010100 => 0010100 => 1101011
[1,6,8,7,3,4,2,5] => 0011010 => 0101100 => 1010011
[4,1,3,6,7,8,5,2] => 1000011 => 1100001 => 0011110
[7,4,1,5,6,8,3,2] => 1100011 => 1100011 => 0011100
[4,1,2,6,7,8,5,3] => 1000011 => 1100001 => 0011110
[3,4,5,8,9,1,2,6,7] => 00001000 => 00010000 => 11101111
[3,4,7,8,9,1,2,5,6] => 00001000 => 00010000 => 11101111
[3,6,7,8,9,1,2,4,5] => 00001000 => 00010000 => 11101111
[3,4,5,6,1,7,2,8,9] => 00010100 => 00101000 => 11010111
[3,4,5,1,6,2,7,8,9] => 00101000 => 00010100 => 11101011
[3,4,5,6,7,10,1,2,8,9] => 000001000 => 000100000 => 111011111
[3,4,1,5,9,2,6,7,8] => 01001000 => 00010010 => 11101101
[3,4,5,6,9,10,1,2,7,8] => 000001000 => 000100000 => 111011111
[3,4,5,8,9,10,1,2,6,7] => 000001000 => 000100000 => 111011111
[1,3,7,8,9,2,4,5,6] => 00001000 => 00010000 => 11101111
[3,4,7,8,9,10,1,2,5,6] => 000001000 => 000100000 => 111011111
[2,6,7,8,9,1,3,4,5] => 00001000 => 00010000 => 11101111
[3,6,7,8,9,10,1,2,4,5] => 000001000 => 000100000 => 111011111
[6,3,7,1,8,2,4,5] => 1010100 => 0010101 => 1101010
[3,7,8,1,5,2,6,4] => 0010101 => 1010100 => 0101011
[2,1,4,3,6,5,10,7,9,8] => 101010101 => 101010101 => 010101010
[2,1,4,3,8,5,7,6,10,9] => 101010101 => 101010101 => 010101010
[2,1,4,3,10,9,7,5,6,8] => 101011100 => 001110101 => 110001010
[2,1,4,3,10,5,6,8,9,7] => 101010001 => 100010101 => 011101010
[2,1,6,3,5,4,8,7,10,9] => 101010101 => 101010101 => 010101010
[2,1,6,3,5,4,10,7,9,8] => 101010101 => 101010101 => 010101010
[2,1,8,7,5,3,4,6,10,9] => 101110001 => 100011101 => 011100010
[2,1,10,7,5,9,4,3,6,8] => 101101100 => 001101101 => 110010010
[2,1,10,8,5,3,6,4,9,7] => 101110101 => 101011101 => 010100010
[2,1,8,3,4,6,7,5,10,9] => 101000101 => 101000101 => 010111010
[2,1,10,9,4,6,7,3,5,8] => 101100100 => 001001101 => 110110010
[2,1,10,3,9,6,4,8,5,7] => 101011010 => 010110101 => 101001010
[2,1,10,3,4,5,7,8,9,6] => 101000001 => 100000101 => 011111010
[4,1,3,2,6,5,8,7,10,9] => 101010101 => 101010101 => 010101010
[4,1,3,2,6,5,10,7,9,8] => 101010101 => 101010101 => 010101010
[4,1,3,2,8,5,7,6,10,9] => 101010101 => 101010101 => 010101010
[4,1,3,2,10,9,7,5,6,8] => 101011100 => 001110101 => 110001010
[4,1,3,2,10,5,6,8,9,7] => 101010001 => 100010101 => 011101010
[6,5,3,1,2,4,10,7,9,8] => 111000101 => 101000111 => 010111000
[8,5,3,7,2,1,4,6,10,9] => 110110001 => 100011011 => 011100100
[10,5,3,7,2,9,4,1,6,8] => 110101100 => 001101011 => 110010100
[10,5,3,8,2,1,6,4,9,7] => 110110101 => 101011011 => 010100100
[8,6,3,1,4,2,7,5,10,9] => 111010101 => 101010111 => 010101000
[10,6,3,9,4,2,7,1,5,8] => 110110100 => 001011011 => 110100100
[10,6,3,1,9,2,4,8,5,7] => 111010010 => 010010111 => 101101000
[10,7,3,1,4,5,2,8,9,6] => 111001001 => 100100111 => 011011000
[6,1,2,4,5,3,8,7,10,9] => 100010101 => 101010001 => 010101110
[6,1,2,4,5,3,10,7,9,8] => 100010101 => 101010001 => 010101110
[8,7,2,4,5,1,3,6,10,9] => 110010001 => 100010011 => 011101100
[10,7,2,4,5,9,3,1,6,8] => 110001100 => 001100011 => 110011100
[10,8,2,4,5,1,6,3,9,7] => 110010101 => 101010011 => 010101100
[8,1,7,4,2,6,3,5,10,9] => 101101001 => 100101101 => 011010010
[10,9,7,4,2,6,3,1,5,8] => 111101100 => 001101111 => 110010000
[10,1,8,4,9,6,2,3,5,7] => 101011000 => 000110101 => 111001010
[10,1,8,4,2,5,7,3,9,6] => 101100101 => 101001101 => 010110010
[8,1,2,3,5,6,7,4,10,9] => 100000101 => 101000001 => 010111110
[10,9,2,3,5,6,7,1,4,8] => 110000100 => 001000011 => 110111100
[10,1,9,3,5,6,2,8,4,7] => 101001010 => 010100101 => 101011010
[10,1,2,9,5,3,7,8,4,6] => 100110010 => 010011001 => 101100110
[2,1,4,3,6,5,8,7,12,9,11,10] => 10101010101 => 10101010101 => 01010101010
[2,1,4,3,6,5,10,7,9,8,12,11] => 10101010101 => 10101010101 => 01010101010
[2,1,4,3,6,5,12,11,9,7,8,10] => 10101011100 => 00111010101 => 11000101010
[2,1,4,3,6,5,12,7,8,10,11,9] => 10101010001 => 10001010101 => 01110101010
[2,1,4,3,8,5,7,6,10,9,12,11] => 10101010101 => 10101010101 => 01010101010
[2,1,4,3,8,5,7,6,12,9,11,10] => 10101010101 => 10101010101 => 01010101010
[2,1,4,3,10,9,7,5,6,8,12,11] => 10101110001 => 10001110101 => 01110001010
[2,1,4,3,12,10,7,5,8,6,11,9] => 10101110101 => 10101110101 => 01010001010
[2,1,4,3,12,11,6,8,9,5,7,10] => 10101100100 => 00100110101 => 11011001010
[2,1,4,3,12,5,6,7,9,10,11,8] => 10101000001 => 10000010101 => 01111101010
[2,1,6,3,5,4,8,7,10,9,12,11] => 10101010101 => 10101010101 => 01010101010
[2,1,6,3,5,4,8,7,12,9,11,10] => 10101010101 => 10101010101 => 01010101010
[2,1,6,3,5,4,10,7,9,8,12,11] => 10101010101 => 10101010101 => 01010101010
[2,1,6,3,5,4,12,11,9,7,8,10] => 10101011100 => 00111010101 => 11000101010
[2,1,6,3,5,4,12,7,8,10,11,9] => 10101010001 => 10001010101 => 01110101010
[2,1,8,7,5,3,4,6,10,9,12,11] => 10111000101 => 10100011101 => 01011100010
[2,1,8,7,5,3,4,6,12,9,11,10] => 10111000101 => 10100011101 => 01011100010
[2,1,10,7,5,9,4,3,6,8,12,11] => 10110110001 => 10001101101 => 01110010010
[2,1,10,8,5,3,6,4,9,7,12,11] => 10111010101 => 10101011101 => 01010100010
[2,1,12,8,5,11,6,4,9,3,7,10] => 10110110100 => 00101101101 => 11010010010
[2,1,12,9,5,3,6,7,4,10,11,8] => 10111001001 => 10010011101 => 01101100010
[2,1,12,10,4,6,7,3,8,5,11,9] => 10110010101 => 10101001101 => 01010110010
[2,1,10,3,9,6,4,8,5,7,12,11] => 10101101001 => 10010110101 => 01101001010
[2,1,12,3,10,6,11,8,4,5,7,9] => 10101011000 => 00011010101 => 11100101010
[2,1,12,3,10,6,4,7,9,5,11,8] => 10101100101 => 10100110101 => 01011001010
[2,1,12,3,4,5,6,8,9,10,11,7] => 10100000001 => 10000000101 => 01111111010
[4,1,3,2,6,5,8,7,10,9,12,11] => 10101010101 => 10101010101 => 01010101010
[4,1,3,2,6,5,8,7,12,9,11,10] => 10101010101 => 10101010101 => 01010101010
[4,1,3,2,6,5,10,7,9,8,12,11] => 10101010101 => 10101010101 => 01010101010
[4,1,3,2,6,5,12,11,9,7,8,10] => 10101011100 => 00111010101 => 11000101010
[4,1,3,2,6,5,12,7,8,10,11,9] => 10101010001 => 10001010101 => 01110101010
[4,1,3,2,8,5,7,6,10,9,12,11] => 10101010101 => 10101010101 => 01010101010
[4,1,3,2,8,5,7,6,12,9,11,10] => 10101010101 => 10101010101 => 01010101010
[4,1,3,2,10,9,7,5,6,8,12,11] => 10101110001 => 10001110101 => 01110001010
[4,1,3,2,12,10,7,5,8,6,11,9] => 10101110101 => 10101110101 => 01010001010
[4,1,3,2,12,11,6,8,9,5,7,10] => 10101100100 => 00100110101 => 11011001010
[4,1,3,2,12,5,6,7,9,10,11,8] => 10101000001 => 10000010101 => 01111101010
[6,5,3,1,2,4,8,7,10,9,12,11] => 11100010101 => 10101000111 => 01010111000
[6,5,3,1,2,4,8,7,12,9,11,10] => 11100010101 => 10101000111 => 01010111000
[6,5,3,1,2,4,10,7,9,8,12,11] => 11100010101 => 10101000111 => 01010111000
[6,5,3,1,2,4,12,11,9,7,8,10] => 11100011100 => 00111000111 => 11000111000
[6,5,3,1,2,4,12,7,8,10,11,9] => 11100010001 => 10001000111 => 01110111000
[8,5,3,7,2,1,4,6,10,9,12,11] => 11011000101 => 10100011011 => 01011100100
[8,5,3,7,2,1,4,6,12,9,11,10] => 11011000101 => 10100011011 => 01011100100
[10,5,3,7,2,9,4,1,6,8,12,11] => 11010110001 => 10001101011 => 01110010100
[12,5,3,7,2,9,4,11,6,1,8,10] => 11010101100 => 00110101011 => 11001010100
[12,5,3,8,2,11,6,4,9,1,7,10] => 11010110100 => 00101101011 => 11010010100
[12,5,3,8,2,1,11,4,6,10,7,9] => 11011010010 => 01001011011 => 10110100100
[12,5,3,9,2,1,6,7,4,10,11,8] => 11011001001 => 10010011011 => 01101100100
[8,6,3,1,4,2,7,5,10,9,12,11] => 11101010101 => 10101010111 => 01010101000
[8,6,3,1,4,2,7,5,12,9,11,10] => 11101010101 => 10101010111 => 01010101000
[10,6,3,9,4,2,7,1,5,8,12,11] => 11011010001 => 10001011011 => 01110100100
[12,6,3,9,4,2,7,11,5,1,8,10] => 11011001100 => 00110011011 => 11001100100
[10,6,3,1,9,2,4,8,5,7,12,11] => 11101001001 => 10010010111 => 01101101000
[12,6,3,11,9,2,4,8,5,1,7,10] => 11011001100 => 00110011011 => 11001100100
[12,6,3,1,10,2,11,8,4,5,7,9] => 11101011000 => 00011010111 => 11100101000
[12,6,3,1,10,2,4,7,9,5,11,8] => 11101000101 => 10100010111 => 01011101000
[10,7,3,1,4,5,2,8,9,6,12,11] => 11100100101 => 10100100111 => 01011011000
[12,7,3,11,4,5,2,8,9,1,6,10] => 11010100100 => 00100101011 => 11011010100
[12,8,3,1,4,5,6,2,9,10,11,7] => 11100010001 => 10001000111 => 01110111000
[6,1,2,4,5,3,8,7,10,9,12,11] => 10001010101 => 10101010001 => 01010101110
[6,1,2,4,5,3,8,7,12,9,11,10] => 10001010101 => 10101010001 => 01010101110
[6,1,2,4,5,3,10,7,9,8,12,11] => 10001010101 => 10101010001 => 01010101110
[10,8,2,4,5,1,6,3,9,7,12,11] => 11001010101 => 10101010011 => 01010101100
[8,1,7,4,2,6,3,5,10,9,12,11] => 10110100101 => 10100101101 => 01011010010
[8,1,7,4,2,6,3,5,12,9,11,10] => 10110100101 => 10100101101 => 01011010010
[10,1,8,4,9,6,2,3,5,7,12,11] => 10101100001 => 10000110101 => 01111001010
[12,11,8,4,9,6,2,3,5,1,7,10] => 11101100100 => 00100110111 => 11011001000
[12,1,8,4,10,6,11,3,2,5,7,9] => 10101011000 => 00011010101 => 11100101010
[12,1,9,4,10,6,2,7,3,5,11,8] => 10101101001 => 10010110101 => 01101001010
[10,1,8,4,2,5,7,3,9,6,12,11] => 10110010101 => 10101001101 => 01010110010
[12,11,8,4,2,5,7,3,9,1,6,10] => 11110010100 => 00101001111 => 11010110000
[8,1,2,3,5,6,7,4,10,9,12,11] => 10000010101 => 10101000001 => 01010111110
[8,1,2,3,5,6,7,4,12,9,11,10] => 10000010101 => 10101000001 => 01010111110
[10,9,2,3,5,6,7,1,4,8,12,11] => 11000010001 => 10001000011 => 01110111100
[12,10,2,3,5,6,7,1,8,4,11,9] => 11000010101 => 10101000011 => 01010111100
[12,11,9,3,5,6,2,8,4,1,7,10] => 11100101100 => 00110100111 => 11001011000
[12,11,2,9,5,3,7,8,4,1,6,10] => 11011001100 => 00110011011 => 11001100100
[12,1,11,10,5,3,7,8,2,4,6,9] => 10111001000 => 00010011101 => 11101100010
[10,1,2,3,4,6,7,8,9,5,12,11] => 10000000101 => 10100000001 => 01011111110
[12,11,2,3,4,6,7,8,9,1,5,10] => 11000000100 => 00100000011 => 11011111100
[1,5,4,7,8,3,6,2] => 0100101 => 1010010 => 0101101
[5,1,4,7,8,3,6,2] => 1000101 => 1010001 => 0101110
[4,8,1,5,6,2,3,7] => 0100100 => 0010010 => 1101101
[5,6,4,1,7,3,8,2] => 0110101 => 1010110 => 0101001
[4,3,7,8,2,5,1,6] => 1001010 => 0101001 => 1010110
[3,7,8,5,4,2,1,6] => 0011110 => 0111100 => 1000011
[1,7,4,5,6,8,3,2] => 0100011 => 1100010 => 0011101
[7,2,4,5,6,8,3,1] => 1000011 => 1100001 => 0011110
[2,7,4,5,6,8,3,1] => 0100011 => 1100010 => 0011101
[2,4,7,8,3,1,6,5] => 0001101 => 1011000 => 0100111
[5,4,3,6,8,1,7,2] => 1100101 => 1010011 => 0101100
[3,7,4,5,8,1,6,2] => 0100101 => 1010010 => 0101101
[1,4,3,5,6,8,2,7] => 0100010 => 0100010 => 1011101
[1,4,6,5,8,2,7,3] => 0010101 => 1010100 => 0101011
[4,6,1,7,3,2,8,5] => 0101101 => 1011010 => 0100101
[1,7,3,6,4,2,8,5] => 0101101 => 1011010 => 0100101
[4,7,3,5,1,2,8,6] => 0101001 => 1001010 => 0110101
[1,6,4,2,3,5,8,7] => 0110001 => 1000110 => 0111001
[4,8,3,5,2,1,6,7] => 0101100 => 0011010 => 1100101
[10,9,7,6,5,4,3,8,2,1] => 111111011 => 110111111 => 001000000
[1,6,8,4,7,5,3,2] => 0010111 => 1110100 => 0001011
[8,7,3,1,5,2,6,4] => 1110101 => 1010111 => 0101000
[4,7,1,6,8,2,3,5] => 0100100 => 0010010 => 1101101
[4,6,5,8,2,3,7,1] => 0101001 => 1001010 => 0110101
[7,1,8,2,4,5,3,6] => 1010010 => 0100101 => 1011010
[5,7,8,2,3,4,1,6] => 0010010 => 0100100 => 1011011
[5,2,3,8,7,1,4,6] => 1001100 => 0011001 => 1100110
[11,10,9,8,6,7,5,4,3,2,1] => 1111011111 => 1111101111 => 0000010000
[8,7,1,3,2,6,4,5] => 1101010 => 0101011 => 1010100
[2,7,6,4,8,3,1,5] => 0110110 => 0110110 => 1001001
[2,6,3,7,5,8,4,1] => 0101011 => 1101010 => 0010101
[7,5,1,2,3,8,4,6] => 1100010 => 0100011 => 1011100
[4,3,5,2,6,1,7,8,9] => 10101000 => 00010101 => 11101010
[4,5,3,6,2,7,1,8,9] => 01010100 => 00101010 => 11010101
[3,2,4,1,5,6,7,8,9,10] => 101000000 => 000000101 => 111111010
[3,4,2,5,1,6,7,8,9,10] => 010100000 => 000001010 => 111110101
[4,3,5,2,6,1,7,8,9,10] => 101010000 => 000010101 => 111101010
[4,5,3,6,2,7,1,8,9,10] => 010101000 => 000101010 => 111010101
[5,4,6,3,7,2,8,1,9,10] => 101010100 => 001010101 => 110101010
[8,6,2,1,3,7,4,5] => 1110010 => 0100111 => 1011000
[4,2,3,6,8,5,7,1] => 1000101 => 1010001 => 0101110
[4,7,3,2,6,5,1,8] => 0110110 => 0110110 => 1001001
[4,3,7,8,2,1,6,5] => 1001101 => 1011001 => 0100110
[4,8,7,2,1,5,6,3] => 0111001 => 1001110 => 0110001
[7,3,8,2,5,1,6,4] => 1010101 => 1010101 => 0101010
[4,5,3,8,6,1,2,7] => 0101100 => 0011010 => 1100101
[6,3,5,8,4,1,2,7] => 1001100 => 0011001 => 1100110
[7,3,8,4,5,1,2,6] => 1010100 => 0010101 => 1101010
[4,8,7,5,1,2,6,3] => 0111001 => 1001110 => 0110001
[7,8,4,6,1,3,5,2] => 0101001 => 1001010 => 0110101
[4,8,7,5,1,3,6,2] => 0111001 => 1001110 => 0110001
[4,5,3,6,8,1,2,7] => 0100100 => 0010010 => 1101101
[7,8,6,2,1,4,3,5] => 0111010 => 0101110 => 1010001
[7,8,6,3,1,2,5,4] => 0111001 => 1001110 => 0110001
[3,7,6,4,1,5,2,8] => 0111010 => 0101110 => 1010001
[5,2,8,4,7,1,3,6] => 1010100 => 0010101 => 1101010
[7,3,1,2,8,6,5,4] => 1100111 => 1110011 => 0001100
[8,7,1,3,2,4,5,6] => 1101000 => 0001011 => 1110100
[4,1,3,6,5,7,2,8] => 1001010 => 0101001 => 1010110
[4,1,3,5,7,2,8,6] => 1000101 => 1010001 => 0101110
[5,1,8,2,4,6,3,7] => 1010010 => 0100101 => 1011010
[6,8,2,1,4,5,3,7] => 0110010 => 0100110 => 1011001
[4,2,7,3,6,8,5,1] => 1010011 => 1100101 => 0011010
[3,1,5,8,6,7,2,4] => 1001010 => 0101001 => 1010110
[6,8,2,1,4,5,7,3] => 0110001 => 1000110 => 0111001
[2,1,4,3,6,5,10,7,8,9] => 101010100 => 001010101 => 110101010
[2,1,4,3,8,5,6,7,10,9] => 101010001 => 100010101 => 011101010
[2,1,4,3,10,9,6,5,8,7] => 101011101 => 101110101 => 010001010
[2,1,4,3,10,5,6,7,8,9] => 101010000 => 000010101 => 111101010
[2,1,6,3,4,5,8,7,10,9] => 101000101 => 101000101 => 010111010
[2,1,6,3,4,5,10,7,8,9] => 101000100 => 001000101 => 110111010
[2,1,10,7,4,9,6,3,8,5] => 101101101 => 101101101 => 010010010
[2,1,10,9,4,3,6,7,8,5] => 101110001 => 100011101 => 011100010
[2,1,8,3,4,5,6,7,10,9] => 101000001 => 100000101 => 011111010
[2,1,10,9,4,5,6,3,8,7] => 101100101 => 101001101 => 010110010
[2,1,10,3,8,5,4,7,6,9] => 101011010 => 010110101 => 101001010
[4,1,2,3,6,5,10,7,8,9] => 100010100 => 001010001 => 110101110
[4,1,2,3,8,5,6,7,10,9] => 100010001 => 100010001 => 011101110
[4,1,2,3,10,9,6,5,8,7] => 100011101 => 101110001 => 010001110
[6,5,2,1,4,3,8,7,10,9] => 111010101 => 101010111 => 010101000
[6,5,2,1,4,3,10,7,8,9] => 111010100 => 001010111 => 110101000
[8,5,2,7,4,1,6,3,10,9] => 110110101 => 101011011 => 010100100
[10,5,2,7,4,9,6,1,8,3] => 110101101 => 101101011 => 010010100
[10,5,2,9,4,1,6,7,8,3] => 110110001 => 100011011 => 011100100
[8,7,2,1,4,5,6,3,10,9] => 111000101 => 101000111 => 010111000
[10,7,2,9,4,5,6,1,8,3] => 110100101 => 101001011 => 010110100
[10,9,2,1,8,5,4,7,6,3] => 111011011 => 110110111 => 001001000
[10,9,2,1,4,5,6,7,8,3] => 111000001 => 100000111 => 011111000
[6,1,2,3,4,5,8,7,10,9] => 100000101 => 101000001 => 010111110
[8,7,2,3,4,1,6,5,10,9] => 110010101 => 101010011 => 010101100
[10,7,2,3,4,9,6,1,8,5] => 110001101 => 101100011 => 010011100
[10,9,2,3,4,1,6,7,8,5] => 110010001 => 100010011 => 011101100
[8,1,6,3,2,5,4,7,10,9] => 101101001 => 100101101 => 011010010
[10,9,6,3,2,5,4,1,8,7] => 111101101 => 101101111 => 010010000
[10,1,6,3,8,5,2,7,4,9] => 101011010 => 010110101 => 101001010
[10,1,8,3,2,5,6,7,4,9] => 101100010 => 010001101 => 101110010
[10,9,2,3,4,5,6,1,8,7] => 110000101 => 101000011 => 010111100
[10,1,8,3,4,5,2,7,6,9] => 101001010 => 010100101 => 101011010
[10,1,2,7,4,3,6,5,8,9] => 100110100 => 001011001 => 110100110
[2,1,4,3,6,5,8,7,12,9,10,11] => 10101010100 => 00101010101 => 11010101010
[2,1,4,3,6,5,10,7,8,9,12,11] => 10101010001 => 10001010101 => 01110101010
[2,1,4,3,6,5,12,11,8,7,10,9] => 10101011101 => 10111010101 => 01000101010
[2,1,4,3,6,5,12,7,8,9,10,11] => 10101010000 => 00001010101 => 11110101010
[2,1,4,3,8,5,6,7,12,9,10,11] => 10101000100 => 00100010101 => 11011101010
[2,1,4,3,10,9,6,5,8,7,12,11] => 10101110101 => 10101110101 => 01010001010
[2,1,4,3,12,11,6,5,8,9,10,7] => 10101110001 => 10001110101 => 01110001010
[2,1,4,3,10,5,6,7,8,9,12,11] => 10101000001 => 10000010101 => 01111101010
[2,1,4,3,12,11,6,7,8,5,10,9] => 10101100101 => 10100110101 => 01011001010
[2,1,4,3,12,5,6,7,8,9,10,11] => 10101000000 => 00000010101 => 11111101010
[2,1,6,3,4,5,8,7,12,9,10,11] => 10100010100 => 00101000101 => 11010111010
[2,1,6,3,4,5,12,11,8,7,10,9] => 10100011101 => 10111000101 => 01000111010
[2,1,6,3,4,5,12,7,8,9,10,11] => 10100010000 => 00001000101 => 11110111010
[2,1,8,7,4,3,6,5,10,9,12,11] => 10111010101 => 10101011101 => 01010100010
[2,1,12,7,4,11,6,3,8,9,10,5] => 10110110001 => 10001101101 => 01110010010
[2,1,10,9,4,3,6,7,8,5,12,11] => 10111000101 => 10100011101 => 01011100010
[2,1,12,9,4,11,6,7,8,3,10,5] => 10110100101 => 10100101101 => 01011010010
[2,1,12,11,4,3,10,7,6,9,8,5] => 10111011011 => 11011011101 => 00100100010
[2,1,12,11,4,3,6,7,8,9,10,5] => 10111000001 => 10000011101 => 01111100010
[2,1,8,3,4,5,6,7,12,9,10,11] => 10100000100 => 00100000101 => 11011111010
[2,1,10,9,4,5,6,3,8,7,12,11] => 10110010101 => 10101001101 => 01010110010
[2,1,10,3,8,5,4,7,6,9,12,11] => 10101101001 => 10010110101 => 01101001010
[2,1,10,3,4,5,6,7,8,9,12,11] => 10100000001 => 10000000101 => 01111111010
[2,1,12,3,4,5,6,7,8,9,10,11] => 10100000000 => 00000000101 => 11111111010
[4,1,2,3,6,5,8,7,10,9,12,11] => 10001010101 => 10101010001 => 01010101110
[4,1,2,3,6,5,8,7,12,9,10,11] => 10001010100 => 00101010001 => 11010101110
[4,1,2,3,6,5,12,11,8,7,10,9] => 10001011101 => 10111010001 => 01000101110
[4,1,2,3,6,5,12,7,8,9,10,11] => 10001010000 => 00001010001 => 11110101110
[4,1,2,3,8,5,6,7,12,9,10,11] => 10001000100 => 00100010001 => 11011101110
[4,1,2,3,10,9,6,5,8,7,12,11] => 10001110101 => 10101110001 => 01010001110
[4,1,2,3,12,9,6,11,8,5,10,7] => 10001101101 => 10110110001 => 01001001110
[4,1,2,3,12,11,6,5,8,9,10,7] => 10001110001 => 10001110001 => 01110001110
[4,1,2,3,10,5,6,7,8,9,12,11] => 10001000001 => 10000010001 => 01111101110
[4,1,2,3,12,5,6,7,8,9,10,11] => 10001000000 => 00000010001 => 11111101110
[6,5,2,1,4,3,8,7,10,9,12,11] => 11101010101 => 10101010111 => 01010101000
[6,5,2,1,4,3,8,7,12,9,10,11] => 11101010100 => 00101010111 => 11010101000
[6,5,2,1,4,3,10,7,8,9,12,11] => 11101010001 => 10001010111 => 01110101000
[6,5,2,1,4,3,12,7,8,9,10,11] => 11101010000 => 00001010111 => 11110101000
[8,5,2,7,4,1,6,3,12,9,10,11] => 11011010100 => 00101011011 => 11010100100
[12,5,2,7,4,11,6,1,8,9,10,3] => 11010110001 => 10001101011 => 01110010100
[10,5,2,9,4,1,6,7,8,3,12,11] => 11011000101 => 10100011011 => 01011100100
[12,5,2,9,4,11,6,7,8,1,10,3] => 11010100101 => 10100101011 => 01011010100
[12,5,2,11,4,1,10,7,6,9,8,3] => 11011011011 => 11011011011 => 00100100100
[12,5,2,11,4,1,6,7,8,9,10,3] => 11011000001 => 10000011011 => 01111100100
[8,7,2,1,4,5,6,3,10,9,12,11] => 11100010101 => 10101000111 => 01010111000
[8,7,2,1,4,5,6,3,12,9,10,11] => 11100010100 => 00101000111 => 11010111000
[10,7,2,9,4,5,6,1,8,3,12,11] => 11010010101 => 10101001011 => 01010110100
[12,11,2,1,8,5,10,7,4,9,6,3] => 11101011011 => 11011010111 => 00100101000
[12,11,2,1,4,5,6,7,8,9,10,3] => 11100000001 => 10000000111 => 01111111000
[6,1,2,3,4,5,8,7,10,9,12,11] => 10000010101 => 10101000001 => 01010111110
[6,1,2,3,4,5,8,7,12,9,10,11] => 10000010100 => 00101000001 => 11010111110
[6,1,2,3,4,5,10,7,8,9,12,11] => 10000010001 => 10001000001 => 01110111110
[6,1,2,3,4,5,12,11,8,7,10,9] => 10000011101 => 10111000001 => 01000111110
[6,1,2,3,4,5,12,7,8,9,10,11] => 10000010000 => 00001000001 => 11110111110
[8,7,2,3,4,1,6,5,10,9,12,11] => 11001010101 => 10101010011 => 01010101100
[8,7,2,3,4,1,6,5,12,9,10,11] => 11001010100 => 00101010011 => 11010101100
[12,11,2,3,4,1,6,7,8,9,10,5] => 11001000001 => 10000010011 => 01111101100
[8,1,6,3,2,5,4,7,10,9,12,11] => 10110100101 => 10100101101 => 01011010010
[8,1,6,3,2,5,4,7,12,9,10,11] => 10110100100 => 00100101101 => 11011010010
[10,1,6,3,8,5,2,7,4,9,12,11] => 10101101001 => 10010110101 => 01101001010
[12,1,10,3,2,5,6,7,8,9,4,11] => 10110000010 => 01000001101 => 10111110010
[8,1,2,3,4,5,6,7,10,9,12,11] => 10000000101 => 10100000001 => 01011111110
[8,1,2,3,4,5,6,7,12,9,10,11] => 10000000100 => 00100000001 => 11011111110
[10,9,2,3,4,5,6,1,8,7,12,11] => 11000010101 => 10101000011 => 01010111100
[12,9,2,3,4,5,6,11,8,1,10,7] => 11000001101 => 10110000011 => 01001111100
[12,11,2,3,4,5,6,1,8,9,10,7] => 11000010001 => 10001000011 => 01110111100
[10,1,2,3,4,5,6,7,8,9,12,11] => 10000000001 => 10000000001 => 01111111110
[12,11,2,3,4,5,6,7,8,1,10,9] => 11000000101 => 10100000011 => 01011111100
[12,1,2,3,4,5,6,7,8,9,10,11] => 10000000000 => 00000000001 => 11111111110
[1,5,4,8,7,3,2,6] => 0101110 => 0111010 => 1000101
[4,3,1,2,6,5,7,8] => 1100100 => 0010011 => 1101100
[7,1,4,5,8,3,6,2] => 1000101 => 1010001 => 0101110
[7,5,8,1,2,4,6,3] => 1010001 => 1000101 => 0111010
[6,1,5,2,8,7,4,3] => 1010111 => 1110101 => 0001010
[8,4,6,3,1,2,7,5] => 1011001 => 1001101 => 0110010
[3,8,6,4,1,5,7,2] => 0111001 => 1001110 => 0110001
[8,7,1,4,5,2,3,6] => 1100100 => 0010011 => 1101100
[3,8,6,4,5,1,7,2] => 0110101 => 1010110 => 0101001
[3,7,6,4,5,1,2,8] => 0110100 => 0010110 => 1101001
[7,4,6,3,1,2,8,5] => 1011001 => 1001101 => 0110010
[4,6,2,5,7,8,1,3] => 0100010 => 0100010 => 1011101
[4,6,3,5,7,1,2,8] => 0100100 => 0010010 => 1101101
[4,7,3,5,8,6,1,2] => 0100110 => 0110010 => 1001101
[4,8,3,5,7,1,6,2] => 0100101 => 1010010 => 0101101
[4,8,3,5,6,1,2,7] => 0100100 => 0010010 => 1101101
[4,7,2,5,6,8,1,3] => 0100010 => 0100010 => 1011101
[4,8,2,5,6,7,1,3] => 0100010 => 0100010 => 1011101
[1,4,7,2,6,5,8,3] => 0010101 => 1010100 => 0101011
[1,5,7,2,6,4,8,3] => 0010101 => 1010100 => 0101011
[7,2,4,6,1,8,3,5] => 1001010 => 0101001 => 1010110
[1,2,7,8,3,5,4,6] => 0001010 => 0101000 => 1010111
[1,7,6,2,8,5,4,3] => 0110111 => 1110110 => 0001001
[1,2,7,8,3,4,6,5] => 0001001 => 1001000 => 0110111
[1,7,6,8,3,4,2,5] => 0101010 => 0101010 => 1010101
[3,4,1,7,8,6,5,2] => 0100111 => 1110010 => 0001101
[2,4,8,6,5,7,1,3] => 0011010 => 0101100 => 1010011
[5,1,3,4,8,2,7,6] => 1000101 => 1010001 => 0101110
[8,7,3,6,1,4,2,5] => 1101010 => 0101011 => 1010100
[6,5,1,8,3,4,7,2] => 1101001 => 1001011 => 0110100
[8,2,1,5,6,4,7,3] => 1100101 => 1010011 => 0101100
[7,5,6,1,3,4,8,2] => 1010001 => 1000101 => 0111010
[5,7,2,4,6,1,8,3] => 0100101 => 1010010 => 0101101
[2,1,5,6,3,8,7,4] => 1001011 => 1101001 => 0010110
[3,2,7,5,8,6,4,1] => 1010111 => 1110101 => 0001010
[2,4,5,3,8,1,7,6] => 0010101 => 1010100 => 0101011
[7,2,5,4,3,8,6,1] => 1011011 => 1101101 => 0010010
[8,5,3,1,2,6,7,4] => 1110001 => 1000111 => 0111000
[7,2,5,1,3,6,8,4] => 1010001 => 1000101 => 0111010
[8,4,7,3,1,2,6,5] => 1011001 => 1001101 => 0110010
[1,8,7,3,5,2,6,4] => 0110101 => 1010110 => 0101001
[2,4,8,3,6,5,7,1] => 0010101 => 1010100 => 0101011
[3,1,8,2,6,5,7,4] => 1010101 => 1010101 => 0101010
[4,6,7,8,5,2,1,3] => 0001110 => 0111000 => 1000111
[4,7,2,1,8,6,5,3] => 0110111 => 1110110 => 0001001
[5,6,2,8,4,1,7,3] => 0101101 => 1011010 => 0100101
[5,7,2,4,8,6,1,3] => 0100110 => 0110010 => 1001101
[6,7,2,4,8,5,1,3] => 0100110 => 0110010 => 1001101
[6,7,3,2,8,5,1,4] => 0110110 => 0110110 => 1001001
[7,2,3,1,8,6,5,4] => 1010111 => 1110101 => 0001010
[7,2,8,3,5,6,1,4] => 1010010 => 0100101 => 1011010
[7,2,3,8,4,6,1,5] => 1001010 => 0101001 => 1010110
[1,7,3,4,8,5,2,6] => 0100110 => 0110010 => 1001101
[1,7,3,8,5,4,2,6] => 0101110 => 0111010 => 1000101
[7,2,8,4,5,3,1,6] => 1010110 => 0110101 => 1001010
[2,8,6,4,3,1,7,5] => 0111101 => 1011110 => 0100001
[1,7,3,4,8,2,5,6] => 0100100 => 0010010 => 1101101
[1,5,8,3,4,6,2,7] => 0010010 => 0100100 => 1011011
[1,3,8,4,2,5,7,6] => 0011001 => 1001100 => 0110011
[1,4,7,6,2,3,8,5] => 0011001 => 1001100 => 0110011
[1,8,4,6,7,2,3,5] => 0100100 => 0010010 => 1101101
[1,4,2,3,7,8,6,5] => 0100011 => 1100010 => 0011101
[5,7,1,6,4,8,3,2] => 0101011 => 1101010 => 0010101
[1,2,9,7,5,3,10,8,6,4] => 001110111 => 111011100 => 000100011
[7,4,5,8,1,3,6,2] => 1001001 => 1001001 => 0110110
[1,4,3,6,2,5,8,7] => 0101001 => 1001010 => 0110101
[1,4,6,3,2,5,8,7] => 0011001 => 1001100 => 0110011
[1,3,6,5,8,2,4,7] => 0010100 => 0010100 => 1101011
[1,4,6,3,2,8,5,7] => 0011010 => 0101100 => 1010011
[6,8,4,1,5,7,2,3] => 0110010 => 0100110 => 1011001
[5,2,6,7,4,1,8,3] => 1001101 => 1011001 => 0100110
[8,5,6,4,1,7,3,2] => 1011011 => 1101101 => 0010010
[7,8,3,1,6,4,5,2] => 0110101 => 1010110 => 0101001
[5,8,2,6,3,1,7,4] => 0101101 => 1011010 => 0100101
[4,5,8,1,6,3,7,2] => 0010101 => 1010100 => 0101011
[8,1,4,6,2,5,7,3] => 1001001 => 1001001 => 0110110
[4,5,8,1,6,2,7,3] => 0010101 => 1010100 => 0101011
[5,2,6,8,1,4,3,7] => 1001010 => 0101001 => 1010110
[6,7,3,8,2,1,4,5] => 0101100 => 0011010 => 1100101
[2,4,1,5,6,7,8,10,3,9] => 010000010 => 010000010 => 101111101
[2,7,3,5,4,1,8,6] => 0101101 => 1011010 => 0100101
[2,6,3,7,4,1,8,5] => 0101101 => 1011010 => 0100101
[2,1,4,8,5,3,7,6] => 1001101 => 1011001 => 0100110
[2,7,3,8,4,1,6,5] => 0101101 => 1011010 => 0100101
[2,6,3,1,5,4,8,7] => 0110101 => 1010110 => 0101001
[1,5,8,3,4,7,2,6] => 0010010 => 0100100 => 1011011
[5,3,8,1,4,6,2,7] => 1010010 => 0100101 => 1011010
[4,5,8,1,3,6,2,7] => 0010010 => 0100100 => 1011011
[7,4,6,5,2,8,3,1] => 1011011 => 1101101 => 0010010
[4,1,3,8,5,7,6,2] => 1001011 => 1101001 => 0010110
[4,1,3,7,2,8,6,5] => 1001011 => 1101001 => 0010110
[4,6,3,1,7,2,8,5] => 0110101 => 1010110 => 0101001
[7,2,6,3,1,8,5,4] => 1011011 => 1101101 => 0010010
[4,8,7,2,5,3,1,6] => 0110110 => 0110110 => 1001001
[1,6,3,2,8,7,4,5] => 0110110 => 0110110 => 1001001
[2,8,1,7,5,4,6,3] => 0101101 => 1011010 => 0100101
[6,8,3,1,5,7,2,4] => 0110010 => 0100110 => 1011001
[8,7,3,1,2,5,6,4] => 1110001 => 1000111 => 0111000
[1,3,5,7,2,8,4,9,6] => 00010101 => 10101000 => 01010111
[1,3,5,6,2,7,4,9,8] => 00010101 => 10101000 => 01010111
[1,3,4,5,2,7,6,9,8] => 00010101 => 10101000 => 01010111
[3,5,7,1,2,4,6,9,8] => 00100001 => 10000100 => 01111011
[1,3,5,7,2,9,4,6,8,10] => 000101000 => 000101000 => 111010111
[3,5,7,8,1,9,2,4,6] => 00010100 => 00101000 => 11010111
[1,3,5,7,2,9,4,10,6,8] => 000101010 => 010101000 => 101010111
[3,5,6,7,1,8,2,9,4] => 00010101 => 10101000 => 01010111
[1,3,5,7,2,8,4,9,6,10] => 000101010 => 010101000 => 101010111
[1,3,5,6,2,7,4,9,8,10] => 000101010 => 010101000 => 101010111
[1,3,4,5,2,7,6,9,8,10] => 000101010 => 010101000 => 101010111
[5,4,3,6,1,7,8,2] => 1101001 => 1001011 => 0110100
[3,2,7,8,5,6,1,4] => 1001010 => 0101001 => 1010110
[4,8,3,2,1,7,5,6] => 0111010 => 0101110 => 1010001
[5,1,2,6,4,7,8,3] => 1001001 => 1001001 => 0110110
[7,1,2,3,4,9,6,8,5] => 10000101 => 10100001 => 01011110
[7,1,2,3,4,8,6,9,5] => 10000101 => 10100001 => 01011110
[8,1,2,3,9,5,6,7,4] => 10001001 => 10010001 => 01101110
[7,1,2,3,9,5,6,8,4] => 10001001 => 10010001 => 01101110
[7,1,2,3,8,5,6,9,4] => 10001001 => 10010001 => 01101110
[6,1,2,3,8,5,9,7,4] => 10001011 => 11010001 => 00101110
[6,1,2,3,7,5,8,9,4] => 10001001 => 10010001 => 01101110
[6,1,2,8,4,5,9,7,3] => 10010011 => 11001001 => 00110110
[6,1,2,7,4,5,8,9,3] => 10010001 => 10001001 => 01110110
[5,1,2,7,4,9,6,8,3] => 10010101 => 10101001 => 01010110
[5,1,2,7,4,8,6,9,3] => 10010101 => 10101001 => 01010110
[5,1,2,6,4,7,8,9,3] => 10010001 => 10001001 => 01110110
[4,1,6,3,8,5,9,7,2] => 10101011 => 11010101 => 00101010
[4,1,6,3,7,5,8,9,2] => 10101001 => 10010101 => 01101010
[4,1,5,3,6,7,8,9,2] => 10100001 => 10000101 => 01111010
[10,1,2,3,4,5,7,8,9,6] => 100000001 => 100000001 => 011111110
[8,1,2,3,4,5,10,7,9,6] => 100000101 => 101000001 => 010111110
[8,1,2,3,4,5,9,7,10,6] => 100000101 => 101000001 => 010111110
[9,1,2,3,4,10,6,7,8,5] => 100001001 => 100100001 => 011011110
[8,1,2,3,4,10,6,7,9,5] => 100001001 => 100100001 => 011011110
[8,1,2,3,4,9,6,7,10,5] => 100001001 => 100100001 => 011011110
[7,1,2,3,4,9,6,10,8,5] => 100001011 => 110100001 => 001011110
[7,1,2,3,4,8,6,9,10,5] => 100001001 => 100100001 => 011011110
[8,1,2,3,10,5,6,7,9,4] => 100010001 => 100010001 => 011101110
[8,1,2,3,9,5,6,7,10,4] => 100010001 => 100010001 => 011101110
[7,1,2,3,10,5,6,8,9,4] => 100010001 => 100010001 => 011101110
[7,1,2,3,8,5,6,9,10,4] => 100010001 => 100010001 => 011101110
[6,1,2,3,8,5,10,7,9,4] => 100010101 => 101010001 => 010101110
[6,1,2,3,8,5,9,7,10,4] => 100010101 => 101010001 => 010101110
[6,1,2,3,7,5,8,9,10,4] => 100010001 => 100010001 => 011101110
[6,1,2,9,4,5,10,7,8,3] => 100100101 => 101001001 => 010110110
[6,1,2,8,4,5,10,7,9,3] => 100100101 => 101001001 => 010110110
[6,1,2,8,4,5,9,7,10,3] => 100100101 => 101001001 => 010110110
[6,1,2,7,4,5,8,9,10,3] => 100100001 => 100001001 => 011110110
[5,1,2,7,4,9,6,10,8,3] => 100101011 => 110101001 => 001010110
[5,1,2,7,4,8,6,9,10,3] => 100101001 => 100101001 => 011010110
[5,1,2,6,4,7,8,9,10,3] => 100100001 => 100001001 => 011110110
[4,1,6,3,8,5,9,7,10,2] => 101010101 => 101010101 => 010101010
[4,1,6,3,7,5,8,9,10,2] => 101010001 => 100010101 => 011101010
[4,1,5,3,6,7,8,9,10,2] => 101000001 => 100000101 => 011111010
[1,9,8,7,6,4,3,2,5] => 01111110 => 01111110 => 10000001
[1,9,8,7,5,4,3,2,6] => 01111110 => 01111110 => 10000001
[1,9,8,6,5,4,3,2,7] => 01111110 => 01111110 => 10000001
[1,9,7,6,5,4,3,2,8] => 01111110 => 01111110 => 10000001
[1,9,8,7,6,5,2,3,4] => 01111100 => 00111110 => 11000001
[1,10,9,8,7,6,5,3,2,4] => 011111110 => 011111110 => 100000001
[1,9,8,7,6,3,4,2,5] => 01111010 => 01011110 => 10100001
[1,10,9,8,7,6,4,3,2,5] => 011111110 => 011111110 => 100000001
[1,9,8,7,4,5,3,2,6] => 01110110 => 01101110 => 10010001
[1,10,9,8,7,5,4,3,2,6] => 011111110 => 011111110 => 100000001
[1,9,8,5,6,4,3,2,7] => 01101110 => 01110110 => 10001001
[1,10,9,8,6,5,4,3,2,7] => 011111110 => 011111110 => 100000001
[1,8,4,5,6,3,2,7] => 0100110 => 0110010 => 1001101
[1,9,6,7,5,4,3,2,8] => 01011110 => 01111010 => 10000101
[1,10,9,7,6,5,4,3,2,8] => 011111110 => 011111110 => 100000001
[1,7,8,6,5,4,3,2,9] => 00111110 => 01111100 => 10000011
[1,10,8,7,6,5,4,3,2,9] => 011111110 => 011111110 => 100000001
[8,5,1,7,4,6,3,2] => 1101011 => 1101011 => 0010100
[3,4,8,1,6,7,2,5] => 0010010 => 0100100 => 1011011
[3,6,7,8,4,1,5,2] => 0001101 => 1011000 => 0100111
[2,3,7,8,4,6,1,5] => 0001010 => 0101000 => 1010111
[1,3,7,8,4,6,2,5] => 0001010 => 0101000 => 1010111
[3,1,7,8,4,6,2,5] => 1001010 => 0101001 => 1010110
[4,3,8,1,6,7,2,5] => 1010010 => 0100101 => 1011010
[4,8,7,3,6,1,2,5] => 0110100 => 0010110 => 1101001
[5,8,4,3,7,1,2,6] => 0110100 => 0010110 => 1101001
[4,1,8,3,7,5,2,6] => 1010110 => 0110101 => 1001010
[2,4,8,3,6,7,1,5] => 0010010 => 0100100 => 1011011
[1,6,5,8,7,3,2,4] => 0101110 => 0111010 => 1000101
[5,6,4,8,7,2,1,3] => 0101110 => 0111010 => 1000101
[7,2,6,8,3,5,1,4] => 1001010 => 0101001 => 1010110
[7,2,8,6,5,3,1,4] => 1011110 => 0111101 => 1000010
[4,8,3,7,6,1,2,5] => 0101100 => 0011010 => 1100101
[2,8,4,7,1,3,6,5] => 0101001 => 1001010 => 0110101
[8,9,2,3,4,5,6,1,7] => 01000010 => 01000010 => 10111101
[7,8,9,2,3,4,5,1,6] => 00100010 => 01000100 => 10111011
[6,7,8,9,2,3,4,1,5] => 00010010 => 01001000 => 10110111
[5,6,7,8,9,2,3,1,4] => 00001010 => 01010000 => 10101111
[9,10,2,3,4,5,6,7,1,8] => 010000010 => 010000010 => 101111101
[8,9,10,2,3,4,5,6,1,7] => 001000010 => 010000100 => 101111011
[7,8,9,2,3,4,1,5,6] => 00100100 => 00100100 => 11011011
[7,8,9,10,2,3,4,5,1,6] => 000100010 => 010001000 => 101110111
[6,7,8,9,2,3,1,4,5] => 00010100 => 00101000 => 11010111
[5,6,7,8,9,10,2,3,1,4] => 000001010 => 010100000 => 101011111
[4,5,6,7,8,1,9,2,3] => 00001010 => 01010000 => 10101111
[4,5,6,7,8,9,10,2,1,3] => 000000110 => 011000000 => 100111111
[6,8,3,4,5,2,1,7] => 0100110 => 0110010 => 1001101
[3,7,1,4,5,6,2,8] => 0100010 => 0100010 => 1011101
[7,9,3,4,5,6,2,1,8] => 01000110 => 01100010 => 10011101
[3,9,2,1,5,6,7,8,4] => 01100001 => 10000110 => 01111001
[3,6,1,4,5,2,7,8] => 0100100 => 0010010 => 1101101
[3,8,1,4,5,6,7,2,9] => 01000010 => 01000010 => 10111101
[8,10,3,4,5,6,7,2,1,9] => 010000110 => 011000010 => 100111101
[6,9,3,4,5,2,7,1,8] => 01001010 => 01010010 => 10101101
[3,8,2,4,5,1,7,6] => 0100101 => 1010010 => 0101101
[3,9,2,4,1,6,7,8,5] => 01010001 => 10001010 => 01110101
[3,7,2,1,5,6,4,8] => 0110010 => 0100110 => 1011001
[3,6,8,1,5,4,7,2] => 0010101 => 1010100 => 0101011
[3,8,9,1,5,6,7,4,2] => 00100011 => 11000100 => 00111011
[3,10,2,1,5,6,7,8,9,4] => 011000001 => 100000110 => 011111001
[3,7,1,4,5,6,2,8,9] => 01000100 => 00100010 => 11011101
[3,9,1,4,5,6,7,8,2,10] => 010000010 => 010000010 => 101111101
[1,7,4,6,3,5,2,8] => 0101010 => 0101010 => 1010101
[1,3,6,5,7,2,4,8] => 0010100 => 0010100 => 1101011
[1,7,2,5,6,4,3,8] => 0100110 => 0110010 => 1001101
[1,6,8,5,4,3,7,2] => 0011101 => 1011100 => 0100011
[2,5,7,8,4,3,1,6] => 0001110 => 0111000 => 1000111
[6,8,5,3,2,4,1,7] => 0111010 => 0101110 => 1010001
[1,6,8,5,3,2,7,4] => 0011101 => 1011100 => 0100011
[4,6,1,8,7,5,3,2] => 0101111 => 1111010 => 0000101
[1,3,7,6,8,5,2,4] => 0010110 => 0110100 => 1001011
[4,1,7,8,6,5,2,3] => 1001110 => 0111001 => 1000110
[5,4,3,7,6,1,2,8] => 1101100 => 0011011 => 1100100
[4,7,6,1,2,3,8,5] => 0110001 => 1000110 => 0111001
[4,5,2,6,7,8,1,3] => 0100010 => 0100010 => 1011101
[2,8,7,6,5,4,3,1,9] => 01111110 => 01111110 => 10000001
[2,1,4,9,8,7,6,5,3] => 10011111 => 11111001 => 00000110
[3,7,6,5,4,2,1,9,8] => 01111101 => 10111110 => 01000001
[3,2,1,6,9,8,7,5,4] => 11001111 => 11110011 => 00001100
[4,6,5,3,2,1,9,8,7] => 01111011 => 11011110 => 00100001
[1,7,6,2,3,8,5,4] => 0110011 => 1100110 => 0011001
[4,5,1,3,7,6,2,8] => 0100110 => 0110010 => 1001101
[7,2,3,8,6,4,5,1] => 1001101 => 1011001 => 0100110
[1,5,4,3,8,6,2,7] => 0110110 => 0110110 => 1001001
[1,3,7,5,8,4,6,2] => 0010101 => 1010100 => 0101011
[7,8,1,5,3,4,6,2] => 0101001 => 1001010 => 0110101
[7,3,5,4,1,6,2,8] => 1011010 => 0101101 => 1010010
[3,5,7,1,6,4,2,8] => 0010110 => 0110100 => 1001011
[3,7,5,6,1,4,2,8] => 0101010 => 0101010 => 1010101
[1,7,5,6,3,4,8,2] => 0101001 => 1001010 => 0110101
[5,3,1,2,7,8,4,6] => 1100010 => 0100011 => 1011100
[5,1,3,7,8,2,6,4] => 1000101 => 1010001 => 0101110
[5,8,1,2,7,6,4,3] => 0100111 => 1110010 => 0001101
[1,6,7,4,5,3,2,8] => 0010110 => 0110100 => 1001011
[1,4,2,6,7,5,3,8] => 0100110 => 0110010 => 1001101
[1,8,2,4,6,5,3,7] => 0100110 => 0110010 => 1001101
[7,2,1,6,4,3,8,5] => 1101101 => 1011011 => 0100100
[1,4,8,7,2,3,6,5] => 0011001 => 1001100 => 0110011
[4,1,3,6,5,8,2,7] => 1001010 => 0101001 => 1010110
[4,3,7,1,5,8,2,6] => 1010010 => 0100101 => 1011010
[1,8,6,5,2,7,4,3] => 0111011 => 1101110 => 0010001
[1,8,6,2,7,4,3,5] => 0110110 => 0110110 => 1001001
[7,2,6,4,1,8,5,3] => 1011011 => 1101101 => 0010010
[6,4,1,8,3,7,5,2] => 1101011 => 1101011 => 0010100
[4,5,8,7,3,6,2,1] => 0011011 => 1101100 => 0010011
[3,5,4,1,7,8,6,2] => 0110011 => 1100110 => 0011001
[2,9,8,7,6,1,5,4,3] => 01111011 => 11011110 => 00100001
[6,8,7,2,1,5,4,3] => 0111011 => 1101110 => 0010001
[4,9,8,7,6,5,2,1,3] => 01111110 => 01111110 => 10000001
[5,9,8,7,6,2,1,4,3] => 01111101 => 10111110 => 01000001
[2,10,9,8,7,6,1,5,4,3] => 011111011 => 110111110 => 001000001
[6,9,8,7,2,1,5,4,3] => 01111011 => 11011110 => 00100001
[7,9,8,2,1,6,5,4,3] => 01110111 => 11101110 => 00010001
[2,10,9,8,1,7,6,5,4,3] => 011101111 => 111101110 => 000010001
[8,9,2,1,7,6,5,4,3] => 01101111 => 11110110 => 00001001
[2,10,9,1,8,7,6,5,4,3] => 011011111 => 111110110 => 000001001
[8,1,6,3,7,5,4,2] => 1010111 => 1110101 => 0001010
[8,5,1,3,7,6,4,2] => 1100111 => 1110011 => 0001100
[8,3,6,5,4,2,1,7] => 1011110 => 0111101 => 1000010
[6,1,3,5,7,2,8,4] => 1000101 => 1010001 => 0101110
[1,6,7,5,8,4,2,3] => 0010110 => 0110100 => 1001011
[7,4,1,6,5,2,8,3] => 1101101 => 1011011 => 0100100
[7,4,2,8,6,5,3,1] => 1101111 => 1111011 => 0000100
[6,8,4,7,3,2,5,1] => 0101101 => 1011010 => 0100101
[5,8,7,3,2,1,6,4] => 0111101 => 1011110 => 0100001
[5,8,7,2,6,4,3,1] => 0110111 => 1110110 => 0001001
[6,8,7,3,5,1,4,2] => 0110101 => 1010110 => 0101001
[7,2,5,6,8,3,4,1] => 1000101 => 1010001 => 0101110
[1,6,5,7,8,3,2,4] => 0100110 => 0110010 => 1001101
[8,6,7,2,3,5,4,1] => 1010011 => 1100101 => 0011010
[5,4,8,6,7,3,1,2] => 1010110 => 0110101 => 1001010
[4,2,7,3,1,6,8,5] => 1011001 => 1001101 => 0110010
[7,3,6,4,2,1,8,5] => 1011101 => 1011101 => 0100010
[4,8,5,2,7,3,1,6] => 0110110 => 0110110 => 1001001
[6,4,3,1,8,5,2,7] => 1110110 => 0110111 => 1001000
[7,4,3,1,5,8,6,2] => 1110011 => 1100111 => 0011000
[7,4,8,6,5,3,1,2] => 1011110 => 0111101 => 1000010
[4,8,5,2,6,7,3,1] => 0110011 => 1100110 => 0011001
[7,3,2,1,8,5,6,4] => 1110101 => 1010111 => 0101000
[7,8,1,9,2,3,4,5,6] => 01010000 => 00001010 => 11110101
[6,7,8,1,9,2,3,4,5] => 00101000 => 00010100 => 11101011
[5,6,7,8,1,9,2,3,4] => 00010100 => 00101000 => 11010111
[9,1,2,3,4,5,7,6,8] => 10000010 => 01000001 => 10111110
[2,1,3,4,5,9,6,7,8] => 10000100 => 00100001 => 11011110
[1,5,7,2,4,3,8,6] => 0010101 => 1010100 => 0101011
[1,2,7,5,8,4,3,6] => 0010110 => 0110100 => 1001011
[5,1,3,8,2,7,4,6] => 1001010 => 0101001 => 1010110
[5,7,1,3,2,8,4,6] => 0101010 => 0101010 => 1010101
[7,1,6,3,2,8,4,5] => 1011010 => 0101101 => 1010010
[8,1,7,2,3,6,5,4] => 1010011 => 1100101 => 0011010
[7,1,2,6,4,3,8,5] => 1001101 => 1011001 => 0100110
[1,4,7,8,3,2,5,6] => 0001100 => 0011000 => 1100111
[8,7,1,3,2,4,6,5] => 1101001 => 1001011 => 0110100
[8,1,6,3,2,4,7,5] => 1011001 => 1001101 => 0110010
[1,8,2,7,6,3,5,4] => 0101101 => 1011010 => 0100101
[8,1,6,3,2,7,4,5] => 1011010 => 0101101 => 1010010
[8,2,1,7,6,3,4,5] => 1101100 => 0011011 => 1100100
[6,8,4,3,5,1,2,7] => 0110100 => 0010110 => 1101001
[8,7,3,5,4,1,2,6] => 1101100 => 0011011 => 1100100
[6,3,8,5,7,2,1,4] => 1010110 => 0110101 => 1001010
[8,7,3,6,4,1,2,5] => 1101100 => 0011011 => 1100100
[5,2,7,4,6,1,3,8] => 1010100 => 0010101 => 1101010
[8,7,2,3,5,1,4,6] => 1100100 => 0010011 => 1101100
[7,6,3,4,1,8,2,5] => 1101010 => 0101011 => 1010100
[6,3,5,2,8,1,4,7] => 1010100 => 0010101 => 1101010
[6,4,5,3,1,7,2,8] => 1011010 => 0101101 => 1010010
[8,7,2,4,3,1,5,6] => 1101100 => 0011011 => 1100100
[7,6,2,3,1,4,8,5] => 1101001 => 1001011 => 0110100
[4,7,6,2,3,1,5,8] => 0110100 => 0010110 => 1101001
[4,7,6,1,3,2,8,5] => 0110101 => 1010110 => 0101001
[7,2,6,5,4,3,1,9,8] => 10111101 => 10111101 => 01000010
[3,2,1,9,5,8,7,6,4] => 11010111 => 11101011 => 00010100
[6,3,5,4,2,1,9,8,7] => 10111011 => 11011101 => 00100010
[4,3,2,1,9,7,8,6,5] => 11101011 => 11010111 => 00101000
[2,8,1,3,5,6,4,7] => 0100010 => 0100010 => 1011101
[2,6,3,4,7,8,5,1] => 0100011 => 1100010 => 0011101
[7,6,3,1,8,5,2,4] => 1110110 => 0110111 => 1001000
[7,2,1,3,6,8,5,4] => 1100011 => 1100011 => 0011100
[7,6,3,8,1,5,2,4] => 1101010 => 0101011 => 1010100
[1,6,4,7,8,5,3,2] => 0100111 => 1110010 => 0001101
[7,2,5,8,6,1,3,4] => 1001100 => 0011001 => 1100110
[4,1,3,6,2,5,8,7] => 1001001 => 1001001 => 0110110
[7,1,4,6,3,2,5,8] => 1001100 => 0011001 => 1100110
[7,4,5,8,6,2,3,1] => 1001101 => 1011001 => 0100110
[6,7,2,3,8,4,1,5] => 0100110 => 0110010 => 1001101
[1,5,2,6,8,7,4,3] => 0100111 => 1110010 => 0001101
[1,2,3,4,5,6,8,9,7,10] => 000000010 => 010000000 => 101111111
[1,8,3,7,5,2,6,4] => 0101101 => 1011010 => 0100101
[8,1,3,6,5,2,7,4] => 1001101 => 1011001 => 0100110
[7,1,3,8,5,2,6,4] => 1001101 => 1011001 => 0100110
[4,7,1,5,2,6,8,3] => 0101001 => 1001010 => 0110101
[7,4,1,5,2,6,8,3] => 1101001 => 1001011 => 0110100
[3,1,6,7,5,2,8,4] => 1001101 => 1011001 => 0100110
[8,6,2,4,5,1,7,3] => 1100101 => 1010011 => 0101100
[8,6,7,5,2,1,4,3] => 1011101 => 1011101 => 0100010
[7,1,4,5,2,6,8,3] => 1001001 => 1001001 => 0110110
[4,1,6,2,3,8,7,5] => 1010011 => 1100101 => 0011010
[4,1,7,6,5,2,8,3] => 1011101 => 1011101 => 0100010
[8,4,1,5,6,2,7,3] => 1100101 => 1010011 => 0101100
[8,4,5,3,6,1,7,2] => 1010101 => 1010101 => 0101010
[2,8,4,7,3,5,6,1] => 0101001 => 1001010 => 0110101
[1,5,4,8,3,2,6,7] => 0101100 => 0011010 => 1100101
[1,5,7,6,3,8,2,4] => 0011010 => 0101100 => 1010011
[2,6,3,1,7,8,4,5] => 0110010 => 0100110 => 1011001
[2,1,7,8,3,5,4,6] => 1001010 => 0101001 => 1010110
[1,5,8,6,7,4,2,3] => 0010110 => 0110100 => 1001011
[8,7,1,3,5,2,6,4] => 1100101 => 1010011 => 0101100
[3,7,8,2,5,4,1,6] => 0010110 => 0110100 => 1001011
[4,7,6,5,8,1,3,2] => 0110101 => 1010110 => 0101001
[4,7,8,6,2,1,5,3] => 0011101 => 1011100 => 0100011
[4,8,6,3,2,1,7,5] => 0111101 => 1011110 => 0100001
[5,1,4,7,6,8,3,2] => 1001011 => 1101001 => 0010110
[5,6,4,7,1,8,3,2] => 0101011 => 1101010 => 0010101
[5,3,7,4,6,1,8,2] => 1010101 => 1010101 => 0101010
[4,1,5,7,8,6,3,2] => 1000111 => 1110001 => 0001110
[3,6,7,1,5,4,8,2] => 0010101 => 1010100 => 0101011
[3,6,4,7,5,8,2,1] => 0101011 => 1101010 => 0010101
[9,1,2,3,4,8,6,5,7] => 10000110 => 01100001 => 10011110
[9,1,2,3,8,5,6,4,7] => 10001010 => 01010001 => 10101110
[8,1,2,9,4,5,6,3,7] => 10010010 => 01001001 => 10110110
[9,1,8,3,4,5,6,2,7] => 10100010 => 01000101 => 10111010
[7,1,2,3,4,9,5,8,6] => 10000101 => 10100001 => 01011110
[10,1,2,3,4,5,9,7,6,8] => 100000110 => 011000001 => 100111110
[6,1,2,3,8,4,5,9,7] => 10001001 => 10010001 => 01101110
[10,1,2,3,4,9,6,7,5,8] => 100001010 => 010100001 => 101011110
[5,1,2,8,3,4,6,9,7] => 10010001 => 10001001 => 01110110
[9,1,2,3,10,5,6,7,4,8] => 100010010 => 010010001 => 101101110
[4,1,9,2,3,5,6,8,7] => 10100001 => 10000101 => 01111010
[10,1,2,9,4,5,6,7,3,8] => 100100010 => 010001001 => 101110110
[3,8,1,2,4,5,6,9,7] => 01000001 => 10000010 => 01111101
[10,1,9,3,4,5,6,7,2,8] => 101000010 => 010000101 => 101111010
[8,2,1,3,4,5,6,9,7] => 11000001 => 10000011 => 01111100
[8,1,2,3,4,5,10,6,9,7] => 100000101 => 101000001 => 010111110
[11,1,2,3,4,5,6,10,8,7,9] => 1000000110 => 0110000001 => 1001111110
[9,1,2,3,8,5,4,7,6] => 10001101 => 10110001 => 01001110
[7,1,2,3,4,9,5,6,10,8] => 100001001 => 100100001 => 011011110
[11,1,2,3,4,5,10,7,8,6,9] => 1000001010 => 0101000001 => 1010111110
[6,1,2,3,9,4,7,8,5] => 10001001 => 10010001 => 01101110
[6,1,2,3,9,4,5,7,10,8] => 100010001 => 100010001 => 011101110
[10,1,2,3,4,11,6,7,8,5,9] => 1000010010 => 0100100001 => 1011011110
[5,1,2,8,3,6,4,9,7] => 10010101 => 10101001 => 01010110
[5,1,2,10,3,4,6,7,9,8] => 100100001 => 100001001 => 011110110
[11,1,2,3,10,5,6,7,8,4,9] => 1000100010 => 0100010001 => 1011101110
[9,8,2,1,4,5,6,7,3] => 11100001 => 10000111 => 01111000
[8,1,7,3,2,4,5,6] => 1011000 => 0001101 => 1110010
[4,1,8,2,5,3,6,9,7] => 10101001 => 10010101 => 01101010
[4,1,9,2,3,5,6,7,10,8] => 101000001 => 100000101 => 011111010
[11,1,2,10,4,5,6,7,8,3,9] => 1001000010 => 0100001001 => 1011110110
[3,9,1,4,2,5,6,8,7] => 01010001 => 10001010 => 01110101
[3,9,1,2,4,5,6,7,10,8] => 010000001 => 100000010 => 011111101
[10,1,11,3,4,5,6,7,8,2,9] => 1010000010 => 0100000101 => 1011111010
[8,2,3,1,4,5,6,9,7] => 10100001 => 10000101 => 01111010
[10,2,1,3,4,5,6,7,9,8] => 110000001 => 100000011 => 011111100
[11,10,2,3,4,5,6,7,8,1,9] => 1100000010 => 0100000011 => 1011111100
[6,4,7,1,5,2,8,3] => 1010101 => 1010101 => 0101010
[4,8,1,3,5,2,7,6] => 0100101 => 1010010 => 0101101
[1,6,5,2,8,7,4,3] => 0110111 => 1110110 => 0001001
[2,3,4,5,7,8,1,9,6] => 00000101 => 10100000 => 01011111
[1,3,4,5,2,6,7,8,9] => 00010000 => 00001000 => 11110111
[1,2,3,4,5,7,8,6,9,10] => 000000100 => 001000000 => 110111111
[2,3,4,5,7,9,1,6,8] => 00000100 => 00100000 => 11011111
[1,2,3,4,5,7,8,9,6,10] => 000000010 => 010000000 => 101111111
[2,3,4,5,1,6,7,9,8] => 00010001 => 10001000 => 01110111
[4,5,6,1,7,8,9,2,3] => 00100010 => 01000100 => 10111011
[2,1,4,5,3,6,7,8,9] => 10010000 => 00001001 => 11110110
[2,4,5,6,1,7,8,9,10,3] => 000100001 => 100001000 => 011110111
[1,3,2,5,4,6,7,8,9] => 01010000 => 00001010 => 11110101
[2,3,5,6,1,7,8,9,10,4] => 000100001 => 100001000 => 011110111
[4,1,7,2,5,8,3,6] => 1010010 => 0100101 => 1011010
[3,2,5,8,6,1,7,4] => 1001101 => 1011001 => 0100110
[4,5,1,7,2,8,6,3] => 0101011 => 1101010 => 0010101
[2,8,5,3,6,7,4,1] => 0110011 => 1100110 => 0011001
[2,3,4,5,9,8,6,7,1] => 00001101 => 10110000 => 01001111
[2,3,4,9,7,5,8,6,1] => 00011011 => 11011000 => 00100111
[2,3,9,6,4,7,8,5,1] => 00110011 => 11001100 => 00110011
[8,3,5,2,6,7,4,1] => 1010011 => 1100101 => 0011010
[2,8,6,3,4,7,5,1] => 0110011 => 1100110 => 0011001
[2,9,5,3,6,7,8,4,1] => 01100011 => 11000110 => 00111001
[9,4,2,5,6,7,8,3,1] => 11000011 => 11000011 => 00111100
[6,4,7,2,5,3,1,8] => 1010110 => 0110101 => 1001010
[7,1,4,3,6,8,2,5] => 1010010 => 0100101 => 1011010
[6,3,1,5,4,8,7,2] => 1101011 => 1101011 => 0010100
[4,1,6,2,8,3,5,7,9] => 10101000 => 00010101 => 11101010
[4,1,6,2,8,3,9,5,7] => 10101010 => 01010101 => 10101010
[4,1,6,2,7,3,8,5,9] => 10101010 => 01010101 => 10101010
[7,1,3,8,5,4,2,6] => 1001110 => 0111001 => 1000110
[4,8,7,3,5,1,6,2] => 0110101 => 1010110 => 0101001
[5,3,8,7,1,6,2,4] => 1011010 => 0101101 => 1010010
[3,4,1,6,2,8,7,5] => 0101011 => 1101010 => 0010101
[5,2,6,7,4,3,1,8] => 1001110 => 0111001 => 1000110
[8,5,1,6,4,3,2,7] => 1101110 => 0111011 => 1000100
[8,6,3,5,2,7,1,4] => 1101010 => 0101011 => 1010100
[8,4,6,2,1,5,7,3] => 1011001 => 1001101 => 0110010
[8,5,2,1,6,4,7,3] => 1110101 => 1010111 => 0101000
[1,7,2,8,5,4,6,3] => 0101101 => 1011010 => 0100101
[6,7,1,4,8,5,3,2] => 0100111 => 1110010 => 0001101
[7,3,2,8,5,1,4,6] => 1101100 => 0011011 => 1100100
[4,1,7,3,2,8,5,6] => 1011010 => 0101101 => 1010010
[8,3,5,2,4,7,1,6] => 1010010 => 0100101 => 1011010
[4,3,7,8,6,1,5,2] => 1001101 => 1011001 => 0100110
[1,2,6,3,7,8,5,4] => 0010011 => 1100100 => 0011011
[6,1,3,7,8,5,4,2] => 1000111 => 1110001 => 0001110
[8,7,9,1,4,5,6,2,3] => 10100010 => 01000101 => 10111010
[7,6,9,1,4,5,2,8,3] => 10100101 => 10100101 => 01011010
[9,8,10,1,4,5,6,7,2,3] => 101000010 => 010000101 => 101111010
[11,10,2,1,4,5,6,7,8,9,3] => 1110000001 => 1000000111 => 0111111000
[2,6,4,7,5,3,1,8] => 0101110 => 0111010 => 1000101
[5,6,3,7,2,8,4,1] => 0101011 => 1101010 => 0010101
[4,5,1,8,6,2,7,3] => 0101101 => 1011010 => 0100101
[5,6,1,8,7,2,3,4] => 0101100 => 0011010 => 1100101
[4,5,1,6,8,7,3,2] => 0100111 => 1110010 => 0001101
[3,9,2,4,5,6,7,8,1] => 01000001 => 10000010 => 01111101
[3,8,6,1,5,2,4,7] => 0110100 => 0010110 => 1101001
[3,2,8,1,5,6,4,7] => 1010010 => 0100101 => 1011010
[5,8,7,3,2,1,4,6] => 0111100 => 0011110 => 1100001
[3,4,7,6,8,2,1,5] => 0010110 => 0110100 => 1001011
[2,8,1,3,7,5,6,4] => 0100101 => 1010010 => 0101101
[1,8,7,2,5,6,4,3] => 0110011 => 1100110 => 0011001
[3,4,7,1,5,8,2,6] => 0010010 => 0100100 => 1011011
[4,2,7,1,5,8,3,6] => 1010010 => 0100101 => 1011010
[1,3,5,2,4,6,7,8,9] => 00100000 => 00000100 => 11111011
[4,1,2,3,5,6,8,7,9] => 10000010 => 01000001 => 10111110
[1,2,4,7,3,5,6,8,9] => 00010000 => 00001000 => 11110111
[5,1,2,3,4,7,6,8,9] => 10000100 => 00100001 => 11011110
[2,4,6,3,5,1,7,8] => 0010100 => 0010100 => 1101011
[4,1,6,2,5,8,3,7] => 1010010 => 0100101 => 1011010
[1,8,2,5,7,3,4,6] => 0100100 => 0010010 => 1101101
[1,4,6,3,8,5,2,7] => 0010110 => 0110100 => 1001011
[4,5,6,3,1,7,2,8] => 0011010 => 0101100 => 1010011
[3,4,6,2,5,1,7,8] => 0010100 => 0010100 => 1101011
[1,4,7,5,2,3,6,8] => 0011000 => 0001100 => 1110011
[1,4,6,5,8,2,3,7] => 0010100 => 0010100 => 1101011
[1,4,8,3,7,6,2,5] => 0010110 => 0110100 => 1001011
[1,4,5,3,7,2,6,8] => 0010100 => 0010100 => 1101011
[2,5,7,6,8,3,4,1] => 0010101 => 1010100 => 0101011
[3,1,6,7,2,8,5,4] => 1001011 => 1101001 => 0010110
[1,5,3,6,8,4,7,2] => 0100101 => 1010010 => 0101101
[6,5,1,3,8,4,7,2] => 1100101 => 1010011 => 0101100
[1,7,4,8,5,3,2,6] => 0101110 => 0111010 => 1000101
[7,3,1,6,8,4,5,2] => 1100101 => 1010011 => 0101100
[8,5,1,4,6,7,3,2] => 1100011 => 1100011 => 0011100
[3,4,7,5,6,8,2,1] => 0010011 => 1100100 => 0011011
[3,4,7,8,5,2,6,1] => 0001101 => 1011000 => 0100111
[7,4,2,3,6,5,1,8] => 1100110 => 0110011 => 1001100
[7,2,4,3,1,5,6,8] => 1011000 => 0001101 => 1110010
[6,3,1,4,8,5,7,2] => 1100101 => 1010011 => 0101100
[6,3,5,4,8,7,1,2] => 1010110 => 0110101 => 1001010
[2,6,4,3,1,7,5,8] => 0111010 => 0101110 => 1010001
[4,8,1,7,5,6,3,2] => 0101011 => 1101010 => 0010101
[1,5,7,2,8,4,6,3] => 0010101 => 1010100 => 0101011
[5,8,7,2,3,6,4,1] => 0110011 => 1100110 => 0011001
[4,6,5,1,2,3,7,8] => 0110000 => 0000110 => 1111001
[1,8,7,5,2,6,3,4] => 0111010 => 0101110 => 1010001
[1,7,6,3,4,5,8,2] => 0110001 => 1000110 => 0111001
[1,8,7,4,5,6,2,3] => 0110010 => 0100110 => 1011001
[1,8,7,3,6,4,2,5] => 0110110 => 0110110 => 1001001
[1,4,7,5,8,2,6,3] => 0010101 => 1010100 => 0101011
[1,4,7,2,3,6,5,8] => 0010010 => 0100100 => 1011011
[1,7,2,5,6,3,4,8] => 0100100 => 0010010 => 1101101
[1,2,6,5,8,3,4,7] => 0010100 => 0010100 => 1101011
[1,5,8,2,6,3,4,7] => 0010100 => 0010100 => 1101011
[6,8,3,2,7,5,1,4] => 0110110 => 0110110 => 1001001
[7,3,6,8,1,2,5,4] => 1001001 => 1001001 => 0110110
[4,1,5,7,2,6,3,8] => 1001010 => 0101001 => 1010110
[5,7,2,1,3,6,4,8] => 0110010 => 0100110 => 1011001
[10,11,8,1,2,3,4,5,6,7,9] => 0110000000 => 0000000110 => 1111111001
[7,1,10,9,2,3,4,5,6,8] => 101100000 => 000001101 => 111110010
[6,7,9,1,2,3,4,5,10,8] => 001000001 => 100000100 => 011111011
[2,8,1,9,10,3,4,5,6,7] => 010010000 => 000010010 => 111101101
[8,7,1,10,2,3,4,5,6,9] => 110100000 => 000001011 => 111110100
[3,5,6,7,2,4,1,8] => 0001010 => 0101000 => 1010111
[6,4,7,5,2,3,1,8] => 1011010 => 0101101 => 1010010
[1,5,6,4,8,3,2,7] => 0010110 => 0110100 => 1001011
[2,1,5,6,4,8,3,7] => 1001010 => 0101001 => 1010110
[5,1,4,7,8,6,2,3] => 1000110 => 0110001 => 1001110
[1,6,7,2,8,5,4,3] => 0010111 => 1110100 => 0001011
[5,3,2,1,7,8,6,4] => 1110011 => 1100111 => 0011000
[7,4,3,8,6,1,5,2] => 1101101 => 1011011 => 0100100
[4,3,7,1,5,8,6,2] => 1010011 => 1100101 => 0011010
[8,2,4,5,3,1,7,6] => 1001101 => 1011001 => 0100110
[1,4,3,2,7,5,8,6] => 0110101 => 1010110 => 0101001
[1,5,2,8,6,3,10,9,7,4] => 010110111 => 111011010 => 000100101
[4,1,5,2,8,6,3,10,9,7] => 101011011 => 110110101 => 001001010
[1,7,5,2,8,6,3,10,9,4] => 011011011 => 110110110 => 001001001
[4,1,7,5,2,8,3,10,9,6] => 101101011 => 110101101 => 001010010
[6,4,1,7,5,2,8,3,10,9] => 110110101 => 101011011 => 010100100
[3,4,1,7,2,8,5,10,9,6] => 010101011 => 110101010 => 001010101
[3,6,4,1,7,2,8,5,10,9] => 011010101 => 101010110 => 010101001
[1,5,2,9,8,6,3,10,7,4] => 010111011 => 110111010 => 001000101
[4,1,5,2,9,8,6,3,10,7] => 101011101 => 101110101 => 010001010
[1,7,5,2,9,6,3,10,8,4] => 011011011 => 110110110 => 001001001
[4,1,7,5,2,9,3,10,8,6] => 101101011 => 110101101 => 001010010
[4,1,9,6,5,2,7,3,10,8] => 101110101 => 101011101 => 010100010
[3,4,1,7,2,9,5,10,8,6] => 010101011 => 110101010 => 001010101
[3,6,1,9,4,2,7,5,10,8] => 010110101 => 101011010 => 010100101
[1,8,7,5,2,9,6,3,10,4] => 011101101 => 101101110 => 010010001
[4,1,8,7,5,2,9,3,10,6] => 101110101 => 101011101 => 010100010
[6,4,1,8,5,2,9,3,10,7] => 110110101 => 101011011 => 010100100
[7,6,4,1,8,5,2,9,3,10] => 111011010 => 010110111 => 101001000
[3,4,1,8,7,2,9,5,10,6] => 010110101 => 101011010 => 010100101
[3,6,4,1,8,2,9,5,10,7] => 011010101 => 101010110 => 010101001
[3,7,6,4,1,8,2,9,5,10] => 011101010 => 010101110 => 101010001
[1,9,6,5,2,7,3,10,8,4] => 011101011 => 110101110 => 001010001
[6,1,9,4,2,7,3,10,8,5] => 101101011 => 110101101 => 001010010
[5,4,1,9,6,2,7,3,10,8] => 110110101 => 101011011 => 010100100
[9,3,1,6,2,7,4,10,8,5] => 110101011 => 110101011 => 001010100
[9,5,3,1,6,2,7,4,10,8] => 111010101 => 101010111 => 010101000
[6,1,8,5,2,9,7,3,10,4] => 101101101 => 101101101 => 010010010
[6,4,1,8,2,9,7,3,10,5] => 110101101 => 101101011 => 010010100
[8,5,4,1,6,2,9,3,10,7] => 111010101 => 101010111 => 010101000
[5,7,4,1,8,6,2,9,3,10] => 011011010 => 010110110 => 101001001
[3,6,1,8,2,9,7,4,10,5] => 010101101 => 101101010 => 010010101
[5,8,3,1,6,2,9,4,10,7] => 011010101 => 101010110 => 010101001
[5,3,7,1,8,6,2,9,4,10] => 101011010 => 010110101 => 101001010
[4,3,8,1,9,5,2,6,10,7] => 101011001 => 100110101 => 011001010
[7,4,3,5,1,8,2,9,6,10] => 110101010 => 010101011 => 101010100
[9,6,2,1,3,7,4,10,8,5] => 111001011 => 110100111 => 001011000
[5,9,2,1,6,3,7,4,10,8] => 011010101 => 101010110 => 010101001
[6,8,2,1,3,9,7,4,10,5] => 011001101 => 101100110 => 010011001
[8,2,5,1,6,3,9,4,10,7] => 101010101 => 101010101 => 010101010
[2,5,7,1,8,6,3,9,4,10] => 001011010 => 010110100 => 101001011
[2,4,8,1,9,5,3,6,10,7] => 001011001 => 100110100 => 011001011
[4,8,7,2,6,1,3,5] => 0110100 => 0010110 => 1101001
[4,5,8,2,1,7,3,6] => 0011010 => 0101100 => 1010011
[6,8,4,1,7,3,2,5] => 0110110 => 0110110 => 1001001
[5,6,4,3,2,1,7,8,9] => 01111000 => 00011110 => 11100001
[5,6,4,3,2,1,7,8,9,10] => 011110000 => 000011110 => 111100001
[4,5,3,2,1,6,7,8,9] => 01110000 => 00001110 => 11110001
[6,7,5,4,3,2,1,8,9,10,11] => 0111110000 => 0000111110 => 1111000001
[6,7,5,4,3,2,1,8,9,10] => 011111000 => 000111110 => 111000001
[6,7,4,3,2,1,5,8,9] => 01111000 => 00011110 => 11100001
[5,6,4,3,2,7,1,8,9] => 01110100 => 00101110 => 11010001
[7,5,4,3,1,2,6,8,9] => 11110000 => 00001111 => 11110000
[6,5,4,3,7,1,2,8,9] => 11101000 => 00010111 => 11101000
[7,6,5,4,3,1,2,8,9,10,11] => 1111100000 => 0000011111 => 1111100000
[6,7,9,8,5,4,3,2,1] => 00111111 => 11111100 => 00000011
[7,6,8,9,5,4,3,2,1] => 10011111 => 11111001 => 00000110
[9,11,10,8,7,6,5,4,3,2,1] => 0111111111 => 1111111110 => 0000000001
[7,8,10,9,6,5,4,3,2,1] => 001111111 => 111111100 => 000000011
[6,7,5,9,8,4,3,2,1] => 01011111 => 11111010 => 00000101
[5,7,9,8,6,4,3,2,1] => 00111111 => 11111100 => 00000011
[7,6,8,5,9,4,3,2,1] => 10101111 => 11110101 => 00001010
[6,5,8,9,7,4,3,2,1] => 10011111 => 11111001 => 00000110
[8,7,9,10,6,5,4,3,2,1] => 100111111 => 111111001 => 000000110
[6,3,1,8,2,7,5,4] => 1101011 => 1101011 => 0010100
[6,4,1,3,2,5,7,8] => 1101000 => 0001011 => 1110100
[4,1,7,8,3,2,5,6] => 1001100 => 0011001 => 1100110
[5,4,7,1,3,6,2,8] => 1010010 => 0100101 => 1011010
[7,6,2,8,4,5,3,1] => 1101011 => 1101011 => 0010100
[5,8,2,1,3,6,4,7] => 0110010 => 0100110 => 1011001
[7,6,4,3,5,2,1,9,8] => 11101101 => 10110111 => 01001000
[7,6,3,5,4,2,1,9,8] => 11011101 => 10111011 => 01000100
[8,5,1,7,3,4,6,2] => 1101001 => 1001011 => 0110100
[5,7,6,3,4,1,8,2] => 0110101 => 1010110 => 0101001
[7,8,9,10,1,5,6,3,4,2] => 000100101 => 101001000 => 010110111
[1,8,3,5,2,6,4,7] => 0101010 => 0101010 => 1010101
[3,4,6,1,8,5,7,2] => 0010101 => 1010100 => 0101011
[2,3,8,7,4,5,1,6] => 0011010 => 0101100 => 1010011
[1,8,3,5,7,4,2,6] => 0100110 => 0110010 => 1001101
[2,5,8,4,6,7,1,3] => 0010010 => 0100100 => 1011011
[9,8,6,1,2,3,4,5,7] => 11100000 => 00000111 => 11111000
[9,8,7,5,1,2,3,4,6] => 11110000 => 00001111 => 11110000
[9,8,7,6,4,1,2,3,5] => 11111000 => 00011111 => 11100000
[9,8,7,6,5,3,1,2,4] => 11111100 => 00111111 => 11000000
[7,1,2,6,4,3,5,8] => 1001100 => 0011001 => 1100110
[7,1,2,6,5,3,4,8] => 1001100 => 0011001 => 1100110
[4,7,8,6,2,3,5,1] => 0011001 => 1001100 => 0110011
[7,1,2,4,8,6,5,3] => 1000111 => 1110001 => 0001110
[2,7,5,6,4,8,1,3] => 0101010 => 0101010 => 1010101
[2,8,3,6,5,7,1,4] => 0101010 => 0101010 => 1010101
[9,8,4,7,6,5,3,2,1] => 11011111 => 11111011 => 00000100
[9,8,3,7,6,5,4,2,1] => 11011111 => 11111011 => 00000100
[9,3,8,7,6,5,4,2,1] => 10111111 => 11111101 => 00000010
[9,2,8,7,6,5,4,3,1] => 10111111 => 11111101 => 00000010
[10,9,8,5,7,6,4,3,2,1] => 111011111 => 111110111 => 000001000
[9,8,4,6,5,7,3,2,1] => 11010111 => 11101011 => 00010100
[10,9,8,4,7,6,5,3,2,1] => 111011111 => 111110111 => 000001000
[9,8,3,6,5,4,7,2,1] => 11011011 => 11011011 => 00100100
[10,9,4,8,7,6,5,3,2,1] => 110111111 => 111111011 => 000000100
[9,3,7,6,5,4,8,2,1] => 10111011 => 11011101 => 00100010
[9,2,7,6,5,4,3,8,1] => 10111101 => 10111101 => 01000010
[10,3,9,8,7,6,5,4,2,1] => 101111111 => 111111101 => 000000010
[10,2,9,8,7,6,5,4,3,1] => 101111111 => 111111101 => 000000010
[7,4,3,1,6,5,2,8] => 1110110 => 0110111 => 1001000
[3,5,1,2,6,8,7,4] => 0100011 => 1100010 => 0011101
[3,1,2,4,8,7,5,6] => 1000110 => 0110001 => 1001110
[5,4,1,2,3,7,8,6] => 1100001 => 1000011 => 0111100
[1,6,7,2,5,8,3,4] => 0010010 => 0100100 => 1011011
[7,8,5,6,2,4,3,1] => 0101011 => 1101010 => 0010101
[5,3,8,6,2,4,1,7] => 1011010 => 0101101 => 1010010
[2,7,4,6,3,8,1,5] => 0101010 => 0101010 => 1010101
[5,4,7,8,6,2,1,3] => 1001110 => 0111001 => 1000110
[2,7,4,8,3,1,5,6] => 0101100 => 0011010 => 1100101
[8,2,1,3,7,4,6,5] => 1100101 => 1010011 => 0101100
[6,5,8,2,3,4,7,1] => 1010001 => 1000101 => 0111010
[7,8,2,3,6,4,5,1] => 0100101 => 1010010 => 0101101
[8,1,2,7,5,3,4,6] => 1001100 => 0011001 => 1100110
[4,2,8,1,3,7,5,6] => 1010010 => 0100101 => 1011010
[7,5,1,8,2,3,4,6] => 1101000 => 0001011 => 1110100
[8,2,4,1,3,7,5,6] => 1010010 => 0100101 => 1011010
[8,1,6,2,3,7,4,5] => 1010010 => 0100101 => 1011010
[7,1,8,2,3,6,4,5] => 1010010 => 0100101 => 1011010
[4,2,6,7,5,1,8,3] => 1001101 => 1011001 => 0100110
[4,7,2,5,3,8,1,6] => 0101010 => 0101010 => 1010101
[3,5,7,4,2,8,1,6] => 0011010 => 0101100 => 1010011
[2,4,7,6,3,8,1,5] => 0011010 => 0101100 => 1010011
[4,6,8,5,1,2,3,7] => 0011000 => 0001100 => 1110011
[4,6,5,7,1,2,3,8] => 0101000 => 0001010 => 1110101
[4,6,5,7,1,3,8,2] => 0101001 => 1001010 => 0110101
[3,4,7,6,1,8,2,5] => 0011010 => 0101100 => 1010011
[8,5,2,1,6,3,4,7] => 1110100 => 0010111 => 1101000
[7,1,8,5,3,2,4,6] => 1011100 => 0011101 => 1100010
[9,10,2,1,6,4,3,5,7,8] => 011011000 => 000110110 => 111001001
[7,10,2,1,8,4,3,5,6,9] => 011011000 => 000110110 => 111001001
[2,9,1,10,7,4,3,5,6,8] => 010111000 => 000111010 => 111000101
[2,8,1,9,4,3,10,5,6,7] => 010110100 => 001011010 => 110100101
[10,8,5,2,1,6,3,4,7,9] => 111101000 => 000101111 => 111010000
[9,5,2,1,10,6,3,4,7,8] => 111011000 => 000110111 => 111001000
[10,7,2,1,8,5,3,4,6,9] => 111011000 => 000110111 => 111001000
[9,2,1,10,7,5,3,4,6,8] => 110111000 => 000111011 => 111000100
[2,8,1,9,3,10,5,4,6,7] => 010101100 => 001101010 => 110010101
[10,6,2,1,7,3,8,4,5,9] => 111010100 => 001010111 => 110101000
[9,2,1,10,6,3,7,4,5,8] => 110110100 => 001011011 => 110100100
[8,2,1,9,3,10,6,4,5,7] => 110101100 => 001101011 => 110010100
[7,2,1,8,3,9,4,10,5,6] => 110101010 => 010101011 => 101010100
[10,8,6,3,1,4,2,5,7,9] => 111101000 => 000101111 => 111010000
[3,9,1,10,6,4,2,5,7,8] => 010111000 => 000111010 => 111000101
[10,7,3,1,8,4,2,5,6,9] => 111011000 => 000110111 => 111001000
[9,3,1,10,7,4,2,5,6,8] => 110111000 => 000111011 => 111000100
[8,3,1,9,4,2,10,5,6,7] => 110110100 => 001011011 => 110100100
[10,8,5,1,6,3,2,4,7,9] => 111011000 => 000110111 => 111001000
[9,5,1,10,6,3,2,4,7,8] => 110111000 => 000111011 => 111000100
[10,7,1,8,5,3,2,4,6,9] => 110111000 => 000111011 => 111000100
[9,1,10,7,5,3,2,4,6,8] => 101111000 => 000111101 => 111000010
[8,3,1,9,2,10,5,4,6,7] => 110101100 => 001101011 => 110010100
[10,6,1,7,3,2,8,4,5,9] => 110110100 => 001011011 => 110100100
[9,1,10,6,3,2,7,4,5,8] => 101110100 => 001011101 => 110100010
[8,1,9,3,2,10,6,4,5,7] => 101101100 => 001101101 => 110010010
[7,1,8,3,2,9,4,10,5,6] => 101101010 => 010101101 => 101010010
[10,8,4,1,5,2,6,3,7,9] => 111010100 => 001010111 => 110101000
[9,4,1,10,5,2,6,3,7,8] => 110110100 => 001011011 => 110100100
[10,7,1,8,4,2,5,3,6,9] => 110110100 => 001011011 => 110100100
[9,1,10,7,4,2,5,3,6,8] => 101110100 => 001011101 => 110100010
[8,1,9,4,2,10,5,3,6,7] => 101101100 => 001101101 => 110010010
[10,6,1,7,2,8,4,3,5,9] => 110101100 => 001101011 => 110010100
[9,1,10,6,2,7,4,3,5,8] => 101101100 => 001101101 => 110010010
[8,1,9,2,10,6,4,3,5,7] => 101011100 => 001110101 => 110001010
[7,1,8,2,9,4,3,10,5,6] => 101011010 => 010110101 => 101001010
[10,5,1,6,2,7,3,8,4,9] => 110101010 => 010101011 => 101010100
[9,1,10,5,2,6,3,7,4,8] => 101101010 => 010101101 => 101010010
[8,1,9,2,10,5,3,6,4,7] => 101011010 => 010110101 => 101001010
[7,1,8,2,9,3,10,5,4,6] => 101010110 => 011010101 => 100101010
[11,12,8,2,1,6,4,3,5,7,9,10] => 01110110000 => 00001101110 => 11110010001
[12,2,9,1,10,6,4,3,5,7,8,11] => 10101110000 => 00001110101 => 11110001010
[11,12,2,1,9,6,4,3,5,7,8,10] => 01101110000 => 00001110110 => 11110001001
[10,2,4,1,11,3,12,6,5,7,8,9] => 10101011000 => 00011010101 => 11100101010
[7,12,10,2,1,8,4,3,5,6,9,11] => 01110110000 => 00001101110 => 11110010001
[2,11,7,1,12,8,4,3,5,6,9,10] => 01101110000 => 00001110110 => 11110001001
[9,12,2,1,10,7,4,3,5,6,8,11] => 01101110000 => 00001110110 => 11110001001
[2,11,1,12,9,7,4,3,5,6,8,10] => 01011110000 => 00001111010 => 11110000101
[2,11,1,12,8,4,3,9,5,6,7,10] => 01011101000 => 00010111010 => 11101000101
[12,10,8,5,2,1,6,3,4,7,9,11] => 11111010000 => 00001011111 => 11110100000
[5,11,2,1,12,8,6,3,4,7,9,10] => 01101110000 => 00001110110 => 11110001001
[12,9,5,2,1,10,6,3,4,7,8,11] => 11110110000 => 00001101111 => 11110010000
[11,5,2,1,12,9,6,3,4,7,8,10] => 11101110000 => 00001110111 => 11110001000
[12,10,7,2,1,8,5,3,4,6,9,11] => 11110110000 => 00001101111 => 11110010000
[11,7,2,1,12,8,5,3,4,6,9,10] => 11101110000 => 00001110111 => 11110001000
[12,9,2,1,10,7,5,3,4,6,8,11] => 11101110000 => 00001110111 => 11110001000
[11,2,1,12,9,7,5,3,4,6,8,10] => 11011110000 => 00001111011 => 11110000100
[11,8,2,1,12,3,9,5,4,6,7,10] => 11101011000 => 00011010111 => 11100101000
[12,10,6,2,1,7,3,8,4,5,9,11] => 11110101000 => 00010101111 => 11101010000
[11,6,2,1,12,7,3,8,4,5,9,10] => 11101101000 => 00010110111 => 11101001000
[12,9,2,1,10,6,3,7,4,5,8,11] => 11101101000 => 00010110111 => 11101001000
[11,2,1,12,9,6,3,7,4,5,8,10] => 11011101000 => 00010111011 => 11101000100
[10,2,1,11,6,3,12,7,4,5,8,9] => 11011011000 => 00011011011 => 11100100100
[12,8,2,1,9,3,10,6,4,5,7,11] => 11101011000 => 00011010111 => 11100101000
[11,2,1,12,8,3,9,6,4,5,7,10] => 11011011000 => 00011011011 => 11100100100
[10,2,1,11,3,12,8,6,4,5,7,9] => 11010111000 => 00011101011 => 11100010100
[12,7,2,1,8,3,9,4,10,5,6,11] => 11101010100 => 00101010111 => 11010101000
[11,2,1,12,7,3,8,4,9,5,6,10] => 11011010100 => 00101011011 => 11010100100
[10,2,1,11,3,12,7,4,8,5,6,9] => 11010110100 => 00101101011 => 11010010100
[9,2,1,10,3,11,4,12,7,5,6,8] => 11010101100 => 00110101011 => 11001010100
[8,2,1,9,3,10,4,11,5,12,6,7] => 11010101010 => 01010101011 => 10101010100
[12,10,8,6,3,1,4,2,5,7,9,11] => 11111010000 => 00001011111 => 11110100000
[11,12,3,1,8,6,4,2,5,7,9,10] => 01101110000 => 00001110110 => 11110001001
[9,12,3,1,10,6,4,2,5,7,8,11] => 01101110000 => 00001110110 => 11110001001
[3,11,1,12,9,6,4,2,5,7,8,10] => 01011110000 => 00001111010 => 11110000101
[12,10,7,3,1,8,4,2,5,6,9,11] => 11110110000 => 00001101111 => 11110010000
[11,7,3,1,12,8,4,2,5,6,9,10] => 11101110000 => 00001110111 => 11110001000
[12,9,3,1,10,7,4,2,5,6,8,11] => 11101110000 => 00001110111 => 11110001000
[11,3,1,12,9,7,4,2,5,6,8,10] => 11011110000 => 00001111011 => 11110000100
[12,8,3,1,9,4,2,10,5,6,7,11] => 11101101000 => 00010110111 => 11101001000
[11,3,1,12,8,4,2,9,5,6,7,10] => 11011101000 => 00010111011 => 11101000100
[10,3,1,11,4,2,12,8,5,6,7,9] => 11011011000 => 00011011011 => 11100100100
[9,3,1,10,4,2,11,5,12,6,7,8] => 11011010100 => 00101011011 => 11010100100
[12,10,8,5,1,6,3,2,4,7,9,11] => 11110110000 => 00001101111 => 11110010000
[5,11,1,12,8,6,3,2,4,7,9,10] => 01011110000 => 00001111010 => 11110000101
[12,9,5,1,10,6,3,2,4,7,8,11] => 11101110000 => 00001110111 => 11110001000
[11,5,1,12,9,6,3,2,4,7,8,10] => 11011110000 => 00001111011 => 11110000100
[12,10,7,1,8,5,3,2,4,6,9,11] => 11101110000 => 00001110111 => 11110001000
[11,7,1,12,8,5,3,2,4,6,9,10] => 11011110000 => 00001111011 => 11110000100
[12,9,1,10,7,5,3,2,4,6,8,11] => 11011110000 => 00001111011 => 11110000100
[11,1,12,9,7,5,3,2,4,6,8,10] => 10111110000 => 00001111101 => 11110000010
[11,8,1,12,3,2,9,5,4,6,7,10] => 11011011000 => 00011011011 => 11100100100
[10,3,1,11,2,12,8,5,4,6,7,9] => 11010111000 => 00011101011 => 11100010100
[9,3,1,10,2,11,5,4,12,6,7,8] => 11010110100 => 00101101011 => 11010010100
[12,10,6,1,7,3,2,8,4,5,9,11] => 11101101000 => 00010110111 => 11101001000
[11,6,1,12,7,3,2,8,4,5,9,10] => 11011101000 => 00010111011 => 11101000100
[12,9,1,10,6,3,2,7,4,5,8,11] => 11011101000 => 00010111011 => 11101000100
[11,1,12,9,6,3,2,7,4,5,8,10] => 10111101000 => 00010111101 => 11101000010
[10,1,11,6,3,2,12,7,4,5,8,9] => 10111011000 => 00011011101 => 11100100010
[12,8,1,9,3,2,10,6,4,5,7,11] => 11011011000 => 00011011011 => 11100100100
[11,1,12,8,3,2,9,6,4,5,7,10] => 10111011000 => 00011011101 => 11100100010
[9,3,1,10,2,11,4,12,6,5,7,8] => 11010101100 => 00110101011 => 11001010100
[12,7,1,8,3,2,9,4,10,5,6,11] => 11011010100 => 00101011011 => 11010100100
[10,1,11,3,2,12,7,4,8,5,6,9] => 10110110100 => 00101101101 => 11010010010
[12,10,8,4,1,5,2,6,3,7,9,11] => 11110101000 => 00010101111 => 11101010000
[4,11,1,12,8,5,2,6,3,7,9,10] => 01011101000 => 00010111010 => 11101000101
[12,9,4,1,10,5,2,6,3,7,8,11] => 11101101000 => 00010110111 => 11101001000
[11,4,1,12,9,5,2,6,3,7,8,10] => 11011101000 => 00010111011 => 11101000100
[10,4,1,11,5,2,12,6,3,7,8,9] => 11011011000 => 00011011011 => 11100100100
[12,10,7,1,8,4,2,5,3,6,9,11] => 11101101000 => 00010110111 => 11101001000
[11,7,1,12,8,4,2,5,3,6,9,10] => 11011101000 => 00010111011 => 11101000100
[12,9,1,10,7,4,2,5,3,6,8,11] => 11011101000 => 00010111011 => 11101000100
[11,1,12,9,7,4,2,5,3,6,8,10] => 10111101000 => 00010111101 => 11101000010
[10,4,1,11,2,12,7,5,3,6,8,9] => 11010111000 => 00011101011 => 11100010100
[12,8,1,9,4,2,10,5,3,6,7,11] => 11011011000 => 00011011011 => 11100100100
[11,1,12,8,4,2,9,5,3,6,7,10] => 10111011000 => 00011011101 => 11100100010
[9,1,10,4,2,11,5,3,12,6,7,8] => 10110110100 => 00101101101 => 11010010010
[12,10,6,1,7,2,8,4,3,5,9,11] => 11101011000 => 00011010111 => 11100101000
[11,6,1,12,7,2,8,4,3,5,9,10] => 11011011000 => 00011011011 => 11100100100
[12,9,1,10,6,2,7,4,3,5,8,11] => 11011011000 => 00011011011 => 11100100100
[11,1,12,9,6,2,7,4,3,5,8,10] => 10111011000 => 00011011101 => 11100100010
[12,8,1,9,2,10,6,4,3,5,7,11] => 11010111000 => 00011101011 => 11100010100
[10,1,11,2,12,8,6,4,3,5,7,9] => 10101111000 => 00011110101 => 11100001010
[12,7,1,8,2,9,4,3,10,5,6,11] => 11010110100 => 00101101011 => 11010010100
[11,1,12,7,2,8,4,3,9,5,6,10] => 10110110100 => 00101101101 => 11010010010
[10,1,11,2,12,7,4,3,8,5,6,9] => 10101110100 => 00101110101 => 11010001010
[12,10,5,1,6,2,7,3,8,4,9,11] => 11101010100 => 00101010111 => 11010101000
[11,5,1,12,6,2,7,3,8,4,9,10] => 11011010100 => 00101011011 => 11010100100
[12,9,1,10,5,2,6,3,7,4,8,11] => 11011010100 => 00101011011 => 11010100100
[10,1,11,5,2,12,6,3,7,4,8,9] => 10110110100 => 00101101101 => 11010010010
[12,8,1,9,2,10,5,3,6,4,7,11] => 11010110100 => 00101101011 => 11010010100
[11,1,12,8,2,9,5,3,6,4,7,10] => 10110110100 => 00101101101 => 11010010010
[10,1,11,2,12,8,5,3,6,4,7,9] => 10101110100 => 00101110101 => 11010001010
[12,7,1,8,2,9,3,10,5,4,6,11] => 11010101100 => 00110101011 => 11001010100
[9,1,10,2,11,3,12,7,5,4,6,8] => 10101011100 => 00111010101 => 11000101010
[12,6,1,7,2,8,3,9,4,10,5,11] => 11010101010 => 01010101011 => 10101010100
[8,1,9,2,10,3,11,4,12,6,5,7] => 10101010110 => 01101010101 => 10010101010
[8,6,1,3,2,7,5,4] => 1101011 => 1101011 => 0010100
[8,1,7,5,2,4,6,3] => 1011001 => 1001101 => 0110010
[8,2,7,5,4,1,6,3] => 1011101 => 1011101 => 0100010
[8,6,1,2,7,3,5,4] => 1100101 => 1010011 => 0101100
[4,2,8,5,7,1,6,3] => 1010101 => 1010101 => 0101010
[6,8,7,4,5,3,2,1] => 0110111 => 1110110 => 0001001
[5,2,6,7,4,8,3,1] => 1001011 => 1101001 => 0010110
[6,5,8,1,7,3,2,4] => 1010110 => 0110101 => 1001010
[6,4,8,1,5,2,3,7] => 1010100 => 0010101 => 1101010
[7,2,4,1,6,3,5,8] => 1010100 => 0010101 => 1101010
[4,2,1,3,6,5,8,7,9] => 11001010 => 01010011 => 10101100
[4,2,1,3,6,5,8,7,10,9] => 110010101 => 101010011 => 010101100
[6,2,1,4,3,5,8,7,9] => 11010010 => 01001011 => 10110100
[2,6,1,5,3,4,8,7] => 0101001 => 1001010 => 0110101
[3,8,7,5,4,2,6,1] => 0111101 => 1011110 => 0100001
[5,7,8,2,3,6,4,1] => 0010011 => 1100100 => 0011011
[2,8,7,3,1,4,5,6] => 0111000 => 0001110 => 1110001
[5,6,1,2,4,7,8,3] => 0100001 => 1000010 => 0111101
[10,2,3,1,4,5,6,7,8,9] => 101000000 => 000000101 => 111111010
[9,2,3,4,1,5,6,7,8] => 10010000 => 00001001 => 11110110
[9,8,4,5,7,6,3,2,1] => 11001111 => 11110011 => 00001100
[9,8,5,4,6,7,3,2,1] => 11100111 => 11100111 => 00011000
[10,9,8,6,5,7,4,3,2,1] => 111101111 => 111101111 => 000010000
[11,10,9,8,5,7,6,4,3,2,1] => 1111011111 => 1111101111 => 0000010000
[10,9,8,4,5,7,6,3,2,1] => 111001111 => 111100111 => 000011000
[9,8,4,5,3,7,6,2,1] => 11010111 => 11101011 => 00010100
[9,8,3,5,7,6,4,2,1] => 11001111 => 11110011 => 00001100
[9,8,5,4,6,3,7,2,1] => 11101011 => 11010111 => 00101000
[9,8,4,3,6,7,5,2,1] => 11100111 => 11100111 => 00011000
[10,9,8,5,4,6,7,3,2,1] => 111100111 => 111001111 => 000110000
[11,10,9,8,6,5,7,4,3,2,1] => 1111101111 => 1111011111 => 0000100000
[3,8,6,7,5,4,2,1] => 0101111 => 1111010 => 0000101
[7,8,5,1,4,6,2,3] => 0110010 => 0100110 => 1011001
[8,2,7,5,4,6,1,3] => 1011010 => 0101101 => 1010010
[8,4,7,6,3,1,2,5] => 1011100 => 0011101 => 1100010
[4,6,7,1,3,2,8,5] => 0010101 => 1010100 => 0101011
[6,4,7,5,3,2,8,1] => 1011101 => 1011101 => 0100010
[8,4,6,3,1,5,7,2] => 1011001 => 1001101 => 0110010
[7,3,1,4,5,6,8,2] => 1100001 => 1000011 => 0111100
[6,7,3,4,2,1,8,5] => 0101101 => 1011010 => 0100101
[6,4,8,3,1,5,7,2] => 1011001 => 1001101 => 0110010
[7,4,2,3,5,1,8,6] => 1100101 => 1010011 => 0101100
[3,1,6,5,2,4,8,7] => 1011001 => 1001101 => 0110010
[2,5,3,8,6,4,1,7] => 0101110 => 0111010 => 1000101
[5,8,4,1,3,2,7,6] => 0110101 => 1010110 => 0101001
[5,3,4,7,6,1,8,2] => 1001101 => 1011001 => 0100110
[4,5,2,1,6,3,8,7] => 0110101 => 1010110 => 0101001
[4,5,2,1,6,7,3,8] => 0110010 => 0100110 => 1011001
[5,3,8,6,2,4,7,1] => 1011001 => 1001101 => 0110010
[2,5,1,6,4,3,8,7] => 0101101 => 1011010 => 0100101
[3,6,2,8,5,7,1,4] => 0101010 => 0101010 => 1010101
[4,6,8,1,5,7,2,3] => 0010010 => 0100100 => 1011011
[4,1,2,5,7,6,3,8] => 1000110 => 0110001 => 1001110
[4,6,5,8,1,7,3,2] => 0101011 => 1101010 => 0010101
[2,1,3,6,4,8,7,5] => 1001011 => 1101001 => 0010110
[4,8,1,2,7,5,6,3] => 0100101 => 1010010 => 0101101
[1,6,4,3,8,7,5,2] => 0110111 => 1110110 => 0001001
[4,5,1,6,8,7,2,3] => 0100110 => 0110010 => 1001101
[2,5,1,8,6,4,7,3] => 0101101 => 1011010 => 0100101
[2,5,8,7,3,1,4,6] => 0011100 => 0011100 => 1100011
[9,8,7,4,3,2,1,5,6] => 11111100 => 00111111 => 11000000
[9,8,7,6,3,2,1,4,5] => 11111100 => 00111111 => 11000000
[3,8,7,2,6,1,4,5] => 0110100 => 0010110 => 1101001
[8,4,5,1,6,7,2,3] => 1010010 => 0100101 => 1011010
[8,4,7,3,1,5,2,6] => 1011010 => 0101101 => 1010010
[2,5,1,8,3,6,4,7] => 0101010 => 0101010 => 1010101
[5,8,4,7,3,2,1,6] => 0101110 => 0111010 => 1000101
[5,6,8,4,2,7,1,3] => 0011010 => 0101100 => 1010011
[4,3,8,6,1,2,5,7] => 1011000 => 0001101 => 1110010
[4,8,6,5,7,1,3,2] => 0110101 => 1010110 => 0101001
[7,2,3,5,6,8,4,1] => 1000011 => 1100001 => 0011110
[5,8,1,3,4,7,2,6] => 0100010 => 0100010 => 1011101
[8,3,4,2,7,6,1,5] => 1010110 => 0110101 => 1001010
[8,7,5,6,4,1,3,2] => 1101101 => 1011011 => 0100100
[8,7,4,2,3,6,5,1] => 1110011 => 1100111 => 0011000
[8,4,2,3,7,6,5,1] => 1100111 => 1110011 => 0001100
[7,2,4,5,3,1,6,8] => 1001100 => 0011001 => 1100110
[7,6,3,1,4,5,8,2] => 1110001 => 1000111 => 0111000
[5,4,1,7,8,6,2,3] => 1100110 => 0110011 => 1001100
[5,3,4,7,8,1,6,2] => 1000101 => 1010001 => 0101110
[4,3,7,6,5,1,8,2] => 1011101 => 1011101 => 0100010
[5,1,4,8,2,3,7,6] => 1001001 => 1001001 => 0110110
[3,2,8,5,4,1,6,7] => 1011100 => 0011101 => 1100010
[7,8,9,1,3,4,5,6,2] => 00100001 => 10000100 => 01111011
[1,2,8,3,4,6,5,7] => 0010010 => 0100100 => 1011011
[8,1,2,7,3,5,4,6] => 1001010 => 0101001 => 1010110
[5,7,1,2,6,3,4,8] => 0100100 => 0010010 => 1101101
[1,2,7,5,6,3,4,8] => 0010100 => 0010100 => 1101011
[5,1,4,7,2,3,6,8] => 1001000 => 0001001 => 1110110
[4,8,1,2,3,6,5,7] => 0100010 => 0100010 => 1011101
[1,3,4,2,5,6,7,8,9] => 00100000 => 00000100 => 11111011
[1,2,4,5,6,3,7,8,9] => 00001000 => 00010000 => 11101111
[1,2,3,5,6,7,8,4,9] => 00000010 => 01000000 => 10111111
[2,1,5,3,6,7,4,8,9] => 10100100 => 00100101 => 11011010
[1,3,5,6,4,2,7,8,9] => 00011000 => 00011000 => 11100111
[3,5,2,1,6,4,7,8,9] => 01101000 => 00010110 => 11101001
[2,1,3,6,4,7,8,9,5] => 10010001 => 10001001 => 01110110
[1,3,4,6,7,2,8,5,9] => 00001010 => 01010000 => 10101111
[3,2,6,1,4,7,8,5,9] => 10100010 => 01000101 => 10111010
[2,4,6,1,7,5,3,8,9] => 00101100 => 00110100 => 11001011
[4,6,3,2,1,7,5,8,9] => 01110100 => 00101110 => 11010001
[2,4,1,7,5,8,3,9,6] => 01010101 => 10101010 => 01010101
[4,3,7,2,1,5,8,9,6] => 10110001 => 10001101 => 01110010
[1,3,5,7,8,6,4,2,9] => 00001110 => 01110000 => 10001111
[3,5,7,2,1,8,6,4,9] => 00110110 => 01101100 => 10010011
[5,7,4,3,2,1,8,6,9] => 01111010 => 01011110 => 10100001
[2,4,6,8,1,9,7,5,3] => 00010111 => 11101000 => 00010111
[4,6,8,3,2,1,9,7,5] => 00111011 => 11011100 => 00100011
[6,8,5,4,3,2,1,9,7] => 01111101 => 10111110 => 01000001
[1,3,4,2,5,6,7,8,9,10] => 001000000 => 000000100 => 111111011
[1,2,4,5,6,3,7,8,9,10] => 000010000 => 000010000 => 111101111
[1,2,3,5,6,7,8,4,9,10] => 000000100 => 001000000 => 110111111
[2,1,5,3,6,7,4,8,9,10] => 101001000 => 000100101 => 111011010
[1,3,5,6,4,2,7,8,9,10] => 000110000 => 000011000 => 111100111
[3,5,2,1,6,4,7,8,9,10] => 011010000 => 000010110 => 111101001
[2,1,3,6,4,7,8,9,5,10] => 100100010 => 010001001 => 101110110
[1,3,4,6,7,2,8,5,9,10] => 000010100 => 001010000 => 110101111
[3,2,6,1,4,7,8,5,9,10] => 101000100 => 001000101 => 110111010
[2,4,6,1,7,5,3,8,9,10] => 001011000 => 000110100 => 111001011
[4,6,3,2,1,7,5,8,9,10] => 011101000 => 000101110 => 111010001
[1,3,4,2,7,8,5,9,10,6] => 001001001 => 100100100 => 011011011
[3,2,1,7,4,5,8,9,10,6] => 110100001 => 100001011 => 011110100
[1,2,4,5,7,8,9,6,3,10] => 000000110 => 011000000 => 100111111
[4,3,7,2,1,5,8,9,6,10] => 101100010 => 010001101 => 101110010
[1,3,5,7,8,6,4,2,9,10] => 000011100 => 001110000 => 110001111
[3,5,7,2,1,8,6,4,9,10] => 001101100 => 001101100 => 110010011
[5,7,4,3,2,1,8,6,9,10] => 011110100 => 001011110 => 110100001
[2,1,5,3,8,6,9,10,7,4] => 101010011 => 110010101 => 001101010
[1,3,5,6,8,9,4,2,10,7] => 000001101 => 101100000 => 010011111
[3,5,2,8,1,6,9,4,10,7] => 010100101 => 101001010 => 010110101
[5,4,8,3,2,1,6,9,10,7] => 101110001 => 100011101 => 011100010
[2,4,6,8,1,9,7,5,3,10] => 000101110 => 011101000 => 100010111
[4,6,8,3,2,1,9,7,5,10] => 001110110 => 011011100 => 100100011
[6,8,5,4,3,2,1,9,7,10] => 011111010 => 010111110 => 101000001
[3,5,7,9,2,1,10,8,6,4] => 000110111 => 111011000 => 000100111
[5,7,9,4,3,2,1,10,8,6] => 001111011 => 110111100 => 001000011
[7,9,6,5,4,3,2,1,10,8] => 011111101 => 101111110 => 010000001
[6,2,3,8,7,1,4,5] => 1001100 => 0011001 => 1100110
[8,2,3,6,4,7,5,1] => 1001011 => 1101001 => 0010110
[7,2,3,6,4,8,1,5] => 1001010 => 0101001 => 1010110
[4,5,6,3,7,2,8,1,9] => 00101010 => 01010100 => 10101011
[1,5,6,7,4,8,3,9,2] => 00010101 => 10101000 => 01010111
[5,4,1,6,2,7,8,3] => 1101001 => 1001011 => 0110100
[7,1,3,5,4,2,8,6] => 1001101 => 1011001 => 0100110
[7,6,8,2,4,5,3,1] => 1010011 => 1100101 => 0011010
[4,2,8,6,5,1,3,7] => 1011100 => 0011101 => 1100010
[3,8,5,4,7,1,2,6] => 0110100 => 0010110 => 1101001
[1,4,8,3,6,2,7,5] => 0010101 => 1010100 => 0101011
[6,3,2,4,8,7,1,5] => 1100110 => 0110011 => 1001100
[8,3,2,7,4,1,5,6] => 1101100 => 0011011 => 1100100
[7,3,2,6,5,8,1,4] => 1101010 => 0101011 => 1010100
[3,6,2,5,7,4,8,1] => 0100101 => 1010010 => 0101101
[2,7,1,5,8,6,4,3] => 0100111 => 1110010 => 0001101
[7,2,4,1,6,8,5,3] => 1010011 => 1100101 => 0011010
[6,4,7,2,3,8,5,1] => 1010011 => 1100101 => 0011010
[6,1,8,5,7,4,2,3] => 1010110 => 0110101 => 1001010
[7,1,4,3,6,5,8,2] => 1010101 => 1010101 => 0101010
[7,1,5,6,3,4,8,2] => 1001001 => 1001001 => 0110110
[6,1,8,5,4,7,3,2] => 1011011 => 1101101 => 0010010
[7,6,1,5,4,2,8,3] => 1101101 => 1011011 => 0100100
[5,1,6,8,7,2,4,3] => 1001101 => 1011001 => 0100110
[4,6,7,5,3,1,8,2] => 0011101 => 1011100 => 0100011
[5,3,2,6,8,7,4,1] => 1100111 => 1110011 => 0001100
[5,4,6,2,8,7,3,1] => 1010111 => 1110101 => 0001010
[4,5,8,6,7,2,3,1] => 0010101 => 1010100 => 0101011
[4,5,7,6,1,2,8,3] => 0011001 => 1001100 => 0110011
[4,6,5,7,2,1,8,3] => 0101101 => 1011010 => 0100101
[2,3,7,5,6,1,10,9,4,8] => 001010110 => 011010100 => 100101011
[2,3,4,10,6,9,8,5,1,7] => 000101110 => 011101000 => 100010111
[2,3,6,5,9,10,8,4,1,7] => 001001110 => 011100100 => 100011011
[2,3,9,5,8,7,4,1,10,6] => 001011101 => 101110100 => 010001011
[2,5,4,9,6,10,8,3,1,7] => 010101110 => 011101010 => 100010101
[2,5,4,8,9,7,3,1,10,6] => 010011101 => 101110010 => 010001101
[2,3,4,10,6,7,1,9,8,5] => 000101011 => 110101000 => 001010111
[2,3,7,5,6,1,10,9,8,4] => 001010111 => 111010100 => 000101011
[2,3,4,10,6,8,9,1,7,5] => 000100101 => 101001000 => 010110111
[2,3,6,5,8,10,9,1,7,4] => 001001101 => 101100100 => 010011011
[2,3,8,5,7,9,1,10,6,4] => 001001011 => 110100100 => 001011011
[2,5,4,8,6,10,9,1,7,3] => 010101101 => 101101010 => 010010101
[2,5,4,7,8,9,1,10,6,3] => 010001011 => 110100010 => 001011101
[2,3,4,10,6,9,8,7,5,1] => 000101111 => 111101000 => 000010111
[2,3,6,5,9,10,8,7,4,1] => 001001111 => 111100100 => 000011011
[2,3,7,5,9,8,10,6,4,1] => 001010111 => 111010100 => 000101011
[2,3,9,5,8,7,6,4,1,10] => 001011110 => 011110100 => 100001011
[2,5,4,9,6,10,8,7,3,1] => 010101111 => 111101010 => 000010101
[2,5,4,9,7,8,10,6,3,1] => 010100111 => 111001010 => 000110101
[2,5,4,8,9,7,6,3,1,10] => 010011110 => 011110010 => 100001101
[2,3,4,10,7,9,8,1,6,5] => 000101101 => 101101000 => 010010111
[2,3,5,7,10,9,8,1,6,4] => 000011101 => 101110000 => 010001111
[2,3,8,6,9,7,1,10,5,4] => 001011011 => 110110100 => 001001011
[2,4,7,5,10,9,8,1,6,3] => 001011101 => 101110100 => 010001011
[2,4,6,8,9,7,1,10,5,3] => 000011011 => 110110000 => 001001111
[2,3,4,10,7,8,9,6,5,1] => 000100111 => 111001000 => 000110111
[2,3,5,7,10,8,9,6,4,1] => 000010111 => 111010000 => 000101111
[2,3,7,6,8,9,10,5,4,1] => 001000111 => 111000100 => 000111011
[2,3,9,6,7,8,5,4,1,10] => 001001110 => 011100100 => 100011011
[2,4,7,5,10,8,9,6,3,1] => 001010111 => 111010100 => 000101011
[2,4,6,7,8,9,10,5,3,1] => 000000111 => 111000000 => 000111111
[2,4,6,9,7,8,5,3,1,10] => 000101110 => 011101000 => 100010111
[2,6,5,8,9,7,10,4,3,1] => 010010111 => 111010010 => 000101101
[2,6,5,7,8,9,4,3,1,10] => 010001110 => 011100010 => 100011101
[3,7,4,5,10,9,8,1,6,2] => 010011101 => 101110010 => 010001101
[3,6,4,8,9,7,1,10,5,2] => 010011011 => 110110010 => 001001101
[3,7,4,5,10,8,9,6,2,1] => 010010111 => 111010010 => 000101101
[3,6,4,7,8,9,10,5,2,1] => 010000111 => 111000010 => 000111101
[3,6,4,9,7,8,5,2,1,10] => 010101110 => 011101010 => 100010101
[3,5,6,8,9,7,10,4,2,1] => 000010111 => 111010000 => 000101111
[3,5,6,7,8,9,4,2,1,10] => 000001110 => 011100000 => 100011111
[7,4,8,6,3,5,1,2] => 1011010 => 0101101 => 1010010
[7,2,4,3,6,1,8,5] => 1010101 => 1010101 => 0101010
[2,3,4,7,8,6,1,5] => 0000110 => 0110000 => 1001111
[6,3,7,1,4,2,8,5] => 1010101 => 1010101 => 0101010
[4,3,2,7,6,5,1,9,8,10] => 110111010 => 010111011 => 101000100
[4,3,2,1,7,6,9,8,5,10] => 111010110 => 011010111 => 100101000
[4,3,2,7,6,1,9,8,5,10] => 110110110 => 011011011 => 100100100
[4,3,2,7,6,9,8,5,1,10] => 110101110 => 011101011 => 100010100
[4,3,7,6,2,1,9,8,5,10] => 101110110 => 011011101 => 100100010
[4,3,7,6,2,9,8,5,1,10] => 101101110 => 011101101 => 100010010
[4,3,2,1,7,6,5,9,10,8] => 111011001 => 100110111 => 011001000
[4,3,2,7,6,5,1,9,10,8] => 110111001 => 100111011 => 011000100
[4,3,2,1,7,6,9,5,10,8] => 111010101 => 101010111 => 010101000
[4,3,2,7,6,1,9,5,10,8] => 110110101 => 101011011 => 010100100
[4,3,2,7,6,9,5,1,10,8] => 110101101 => 101101011 => 010010100
[4,3,7,6,2,1,9,5,10,8] => 101110101 => 101011101 => 010100010
[4,3,7,6,2,9,5,1,10,8] => 101101101 => 101101101 => 010010010
[4,3,2,1,7,6,9,10,8,5] => 111010011 => 110010111 => 001101000
[4,3,2,7,6,1,9,10,8,5] => 110110011 => 110011011 => 001100100
[4,3,2,7,6,9,1,10,8,5] => 110101011 => 110101011 => 001010100
[4,3,2,7,6,9,10,8,5,1] => 110100111 => 111001011 => 000110100
[4,3,7,6,2,1,9,10,8,5] => 101110011 => 110011101 => 001100010
[4,3,7,6,2,9,1,10,8,5] => 101101011 => 110101101 => 001010010
[4,3,7,6,2,9,10,8,5,1] => 101100111 => 111001101 => 000110010
[4,3,2,1,7,9,6,5,10,8] => 111001101 => 101100111 => 010011000
[4,3,2,7,1,9,6,5,10,8] => 110101101 => 101101011 => 010010100
[4,3,2,7,9,6,5,1,10,8] => 110011101 => 101110011 => 010001100
[4,3,7,2,1,9,6,5,10,8] => 101101101 => 101101101 => 010010010
[4,3,7,2,9,6,5,1,10,8] => 101011101 => 101110101 => 010001010
[4,3,2,1,7,9,6,10,8,5] => 111001011 => 110100111 => 001011000
[4,3,2,7,1,9,6,10,8,5] => 110101011 => 110101011 => 001010100
[4,3,2,7,9,6,1,10,8,5] => 110011011 => 110110011 => 001001100
[4,3,2,7,9,6,10,8,5,1] => 110010111 => 111010011 => 000101100
[4,3,7,2,1,9,6,10,8,5] => 101101011 => 110101101 => 001010010
[4,3,7,2,9,6,1,10,8,5] => 101011011 => 110110101 => 001001010
[4,3,7,2,9,6,10,8,5,1] => 101010111 => 111010101 => 000101010
[4,3,7,9,6,2,1,10,8,5] => 100111011 => 110111001 => 001000110
[4,3,7,9,6,2,10,8,5,1] => 100110111 => 111011001 => 000100110
[4,7,3,2,1,9,6,5,10,8] => 011101101 => 101101110 => 010010001
[4,7,3,2,9,6,5,1,10,8] => 011011101 => 101110110 => 010001001
[4,7,3,2,1,9,6,10,8,5] => 011101011 => 110101110 => 001010001
[4,7,3,2,9,6,1,10,8,5] => 011011011 => 110110110 => 001001001
[4,7,3,2,9,6,10,8,5,1] => 011010111 => 111010110 => 000101001
[4,7,3,9,6,2,1,10,8,5] => 010111011 => 110111010 => 001000101
[4,6,3,5,1,8,2,7] => 0101010 => 0101010 => 1010101
[8,5,7,6,2,3,4,1] => 1011001 => 1001101 => 0110010
[3,5,6,7,8,9,2,4,1] => 00000101 => 10100000 => 01011111
[3,4,6,7,8,2,5,1] => 0000101 => 1010000 => 0101111
[2,4,6,7,8,9,1,3,5] => 00000100 => 00100000 => 11011111
[2,5,6,7,3,8,1,4] => 0001010 => 0101000 => 1010111
[2,5,6,7,8,9,3,1,4] => 00000110 => 01100000 => 10011111
[5,8,4,6,2,1,7,3] => 0101101 => 1011010 => 0100101
[1,6,8,3,4,2,7,5] => 0010101 => 1010100 => 0101011
[4,1,7,6,2,8,3,5] => 1011010 => 0101101 => 1010010
[4,1,8,2,7,5,3,6] => 1010110 => 0110101 => 1001010
[4,1,7,2,8,5,3,6] => 1010110 => 0110101 => 1001010
[2,5,6,3,7,4,8,1] => 0010101 => 1010100 => 0101011
[2,6,5,3,8,4,7,1] => 0110101 => 1010110 => 0101001
[2,6,5,3,7,4,8,1] => 0110101 => 1010110 => 0101001
[7,1,6,3,5,4,8,2] => 1010101 => 1010101 => 0101010
[5,7,3,2,8,4,1,6] => 0110110 => 0110110 => 1001001
[2,8,6,1,7,5,3,4] => 0110110 => 0110110 => 1001001
[8,1,5,2,7,4,3,6] => 1010110 => 0110101 => 1001010
[7,1,4,2,8,5,3,6] => 1010110 => 0110101 => 1001010
[2,6,8,1,7,5,3,4] => 0010110 => 0110100 => 1001011
[1,4,6,5,3,8,2,7] => 0011010 => 0101100 => 1010011
[2,4,5,8,7,1,3,6] => 0001100 => 0011000 => 1100111
[3,1,6,8,7,5,4,2] => 1001111 => 1111001 => 0000110
[3,1,8,7,5,6,4,2] => 1011011 => 1101101 => 0010010
[5,1,8,7,6,3,4,2] => 1011101 => 1011101 => 0100010
[8,2,7,5,3,6,4,1] => 1011011 => 1101101 => 0010010
[8,7,2,3,1,5,6,4] => 1101001 => 1001011 => 0110100
[2,8,5,7,6,1,3,4] => 0101100 => 0011010 => 1100101
[1,8,7,2,6,4,5,3] => 0110101 => 1010110 => 0101001
[8,7,2,1,6,4,5,3] => 1110101 => 1010111 => 0101000
[1,8,4,7,6,2,5,3] => 0101101 => 1011010 => 0100101
[8,7,1,6,4,3,5,2] => 1101101 => 1011011 => 0100100
[8,4,1,7,3,6,5,2] => 1101011 => 1101011 => 0010100
[5,4,6,3,8,1,7,2,9] => 10101010 => 01010101 => 10101010
[1,6,5,7,4,9,2,8,3] => 01010101 => 10101010 => 01010101
[5,6,4,7,3,9,1,8,2,10] => 010101010 => 010101010 => 101010101
[5,4,8,1,7,2,6,3,9] => 10101010 => 01010101 => 10101010
[5,4,8,1,6,3,7,2,9] => 10101010 => 01010101 => 10101010
[1,6,5,9,2,8,3,7,4] => 01010101 => 10101010 => 01010101
[1,6,5,9,2,7,4,8,3] => 01010101 => 10101010 => 01010101
[1,6,7,5,8,4,10,2,9,3] => 001010101 => 101010100 => 010101011
[8,3,6,2,1,5,4,7] => 1011010 => 0101101 => 1010010
[4,5,6,7,8,9,1,10,2,3] => 000001010 => 010100000 => 101011111
[2,5,6,7,8,1,9,3,4] => 00001010 => 01010000 => 10101111
[4,5,6,7,1,2,8,3,9] => 00010010 => 01001000 => 10110111
[1,3,6,7,8,9,2,4,5] => 00000100 => 00100000 => 11011111
[3,5,6,7,8,1,2,9,4] => 00001001 => 10010000 => 01101111
[3,2,5,4,7,6,8,10,9,1] => 101010011 => 110010101 => 001101010
[3,2,5,4,6,9,7,8,10,1] => 101001001 => 100100101 => 011011010
[3,2,5,4,6,8,7,10,9,1] => 101001011 => 110100101 => 001011010
[3,2,5,4,6,7,10,8,9,1] => 101000101 => 101000101 => 010111010
[3,2,4,7,5,6,9,8,10,1] => 100100101 => 101001001 => 010110110
[3,2,4,7,5,6,8,10,9,1] => 100100011 => 110001001 => 001110110
[3,2,4,6,5,9,7,8,10,1] => 100101001 => 100101001 => 011010110
[3,2,4,6,5,8,7,10,9,1] => 100101011 => 110101001 => 001010110
[3,2,4,6,5,7,10,8,9,1] => 100100101 => 101001001 => 010110110
[3,2,4,5,9,6,7,8,10,1] => 100010001 => 100010001 => 011101110
[3,2,4,5,8,6,7,10,9,1] => 100010011 => 110010001 => 001101110
[3,2,4,5,7,6,10,8,9,1] => 100010101 => 101010001 => 010101110
[3,2,4,5,6,10,7,8,9,1] => 100001001 => 100100001 => 011011110
[2,5,3,4,7,6,9,8,10,1] => 010010101 => 101010010 => 010101101
[2,5,3,4,7,6,8,10,9,1] => 010010011 => 110010010 => 001101101
[2,5,3,4,6,9,7,8,10,1] => 010001001 => 100100010 => 011011101
[2,5,3,4,6,8,7,10,9,1] => 010001011 => 110100010 => 001011101
[2,5,3,4,6,7,10,8,9,1] => 010000101 => 101000010 => 010111101
[2,4,3,7,5,6,9,8,10,1] => 010100101 => 101001010 => 010110101
[2,4,3,7,5,6,8,10,9,1] => 010100011 => 110001010 => 001110101
[2,4,3,6,5,9,7,8,10,1] => 010101001 => 100101010 => 011010101
[2,4,3,6,5,7,10,8,9,1] => 010100101 => 101001010 => 010110101
[2,4,3,5,9,6,7,8,10,1] => 010010001 => 100010010 => 011101101
[2,4,3,5,8,6,7,10,9,1] => 010010011 => 110010010 => 001101101
[2,4,3,5,7,6,10,8,9,1] => 010010101 => 101010010 => 010101101
[2,4,3,5,6,10,7,8,9,1] => 010001001 => 100100010 => 011011101
[2,3,7,4,5,6,9,8,10,1] => 001000101 => 101000100 => 010111011
[2,3,7,4,5,6,8,10,9,1] => 001000011 => 110000100 => 001111011
[2,3,6,4,5,9,7,8,10,1] => 001001001 => 100100100 => 011011011
[2,3,6,4,5,8,7,10,9,1] => 001001011 => 110100100 => 001011011
[2,3,6,4,5,7,10,8,9,1] => 001000101 => 101000100 => 010111011
[2,3,5,4,9,6,7,8,10,1] => 001010001 => 100010100 => 011101011
[2,3,5,4,8,6,7,10,9,1] => 001010011 => 110010100 => 001101011
[2,3,5,4,7,6,10,8,9,1] => 001010101 => 101010100 => 010101011
[2,3,5,4,6,10,7,8,9,1] => 001001001 => 100100100 => 011011011
[2,3,4,9,5,6,7,8,10,1] => 000100001 => 100001000 => 011110111
[2,3,4,8,5,6,7,10,9,1] => 000100011 => 110001000 => 001110111
[2,3,4,7,5,6,10,8,9,1] => 000100101 => 101001000 => 010110111
[2,3,4,6,5,10,7,8,9,1] => 000101001 => 100101000 => 011010111
[3,2,5,4,7,6,9,8,10,12,11,1] => 10101010011 => 11001010101 => 00110101010
[3,2,5,4,7,6,8,10,9,12,11,1] => 10101001011 => 11010010101 => 00101101010
[3,2,5,4,6,8,7,10,9,12,11,1] => 10100101011 => 11010100101 => 00101011010
[3,2,4,6,5,8,7,10,9,12,11,1] => 10010101011 => 11010101001 => 00101010110
[3,2,4,6,5,7,11,8,9,10,12,1] => 10010010001 => 10001001001 => 01110110110
[3,2,4,5,8,6,7,11,9,10,12,1] => 10001001001 => 10010010001 => 01101101110
[3,2,4,5,7,6,9,8,12,10,11,1] => 10001010101 => 10101010001 => 01010101110
[3,2,4,5,7,6,8,12,9,10,11,1] => 10001001001 => 10010010001 => 01101101110
[3,2,4,5,6,7,12,8,9,10,11,1] => 10000010001 => 10001000001 => 01110111110
[2,5,3,4,7,6,9,8,11,10,12,1] => 01001010101 => 10101010010 => 01010101101
[2,5,3,4,7,6,8,11,9,10,12,1] => 01001001001 => 10010010010 => 01101101101
[2,4,3,6,5,7,11,8,9,10,12,1] => 01010010001 => 10001001010 => 01110110101
[2,4,3,5,8,6,7,11,9,10,12,1] => 01001001001 => 10010010010 => 01101101101
[2,4,3,5,7,6,11,8,9,10,12,1] => 01001010001 => 10001010010 => 01110101101
[2,4,3,5,7,6,9,8,12,10,11,1] => 01001010101 => 10101010010 => 01010101101
[2,4,3,5,7,6,8,12,9,10,11,1] => 01001001001 => 10010010010 => 01101101101
[2,4,3,5,6,11,7,8,9,10,12,1] => 01000100001 => 10000100010 => 01111011101
[2,3,7,4,5,6,9,8,11,10,12,1] => 00100010101 => 10101000100 => 01010111011
[2,3,7,4,5,6,8,10,9,12,11,1] => 00100001011 => 11010000100 => 00101111011
[2,3,6,4,5,8,7,11,9,10,12,1] => 00100101001 => 10010100100 => 01101011011
[2,3,6,4,5,8,7,10,9,12,11,1] => 00100101011 => 11010100100 => 00101011011
[2,3,6,4,5,7,11,8,9,10,12,1] => 00100010001 => 10001000100 => 01110111011
[2,3,6,4,5,7,9,8,12,10,11,1] => 00100010101 => 10101000100 => 01010111011
[2,3,5,4,9,6,7,8,11,10,12,1] => 00101000101 => 10100010100 => 01011101011
[2,3,5,4,9,6,7,8,10,12,11,1] => 00101000011 => 11000010100 => 00111101011
[2,3,5,4,8,6,7,11,9,10,12,1] => 00101001001 => 10010010100 => 01101101011
[2,3,5,4,8,6,7,10,9,12,11,1] => 00101001011 => 11010010100 => 00101101011
[2,3,5,4,8,6,7,9,12,10,11,1] => 00101000101 => 10100010100 => 01011101011
[2,3,5,4,7,6,11,8,9,10,12,1] => 00101010001 => 10001010100 => 01110101011
[2,3,5,4,7,6,10,8,9,12,11,1] => 00101010011 => 11001010100 => 00110101011
[2,3,5,4,7,6,9,8,12,10,11,1] => 00101010101 => 10101010100 => 01010101011
[2,3,5,4,7,6,8,12,9,10,11,1] => 00101001001 => 10010010100 => 01101101011
[2,3,5,4,6,11,7,8,9,10,12,1] => 00100100001 => 10000100100 => 01111011011
[2,3,5,4,6,8,7,12,9,10,11,1] => 00100101001 => 10010100100 => 01101011011
[2,3,5,4,6,7,12,8,9,10,11,1] => 00100010001 => 10001000100 => 01110111011
[2,3,4,9,5,6,7,8,11,10,12,1] => 00010000101 => 10100001000 => 01011110111
[2,3,4,9,5,6,7,8,10,12,11,1] => 00010000011 => 11000001000 => 00111110111
[2,3,4,8,5,6,7,11,9,10,12,1] => 00010001001 => 10010001000 => 01101110111
[2,3,4,8,5,6,7,9,12,10,11,1] => 00010000101 => 10100001000 => 01011110111
[2,3,4,7,5,6,11,8,9,10,12,1] => 00010010001 => 10001001000 => 01110110111
[2,3,4,7,5,6,9,8,12,10,11,1] => 00010010101 => 10101001000 => 01010110111
[2,3,4,7,5,6,8,12,9,10,11,1] => 00010001001 => 10010001000 => 01101110111
[2,3,4,6,5,11,7,8,9,10,12,1] => 00010100001 => 10000101000 => 01111010111
[2,3,4,6,5,9,7,8,12,10,11,1] => 00010100101 => 10100101000 => 01011010111
[2,3,4,6,5,8,7,12,9,10,11,1] => 00010101001 => 10010101000 => 01101010111
[2,3,4,6,5,7,12,8,9,10,11,1] => 00010010001 => 10001001000 => 01110110111
[2,3,4,5,11,6,7,8,9,10,12,1] => 00001000001 => 10000010000 => 01111101111
[2,3,4,5,9,6,7,8,12,10,11,1] => 00001000101 => 10100010000 => 01011101111
[2,3,4,5,8,6,7,12,9,10,11,1] => 00001001001 => 10010010000 => 01101101111
[2,3,4,5,7,6,12,8,9,10,11,1] => 00001010001 => 10001010000 => 01110101111
[1,7,3,6,8,2,5,4] => 0100101 => 1010010 => 0101101
[4,5,1,8,7,3,6,2] => 0101101 => 1011010 => 0100101
[3,8,5,2,6,7,4,1] => 0110011 => 1100110 => 0011001
[3,6,4,7,5,2,1,8] => 0101110 => 0111010 => 1000101
[5,7,4,1,2,6,8,3] => 0110001 => 1000110 => 0111001
[2,8,6,7,5,3,1,4] => 0101110 => 0111010 => 1000101
[7,4,5,2,6,3,1,8] => 1010110 => 0110101 => 1001010
[8,6,3,4,5,1,7,2] => 1100101 => 1010011 => 0101100
[8,6,3,5,4,1,7,2] => 1101101 => 1011011 => 0100100
[8,7,4,5,1,3,6,2] => 1101001 => 1001011 => 0110100
[8,6,2,5,3,1,4,7] => 1101100 => 0011011 => 1100100
[8,4,7,3,1,2,5,6] => 1011000 => 0001101 => 1110010
[8,7,3,5,1,6,4,2] => 1101011 => 1101011 => 0010100
[4,8,3,2,6,1,7,5] => 0110101 => 1010110 => 0101001
[4,3,7,6,1,5,2,8] => 1011010 => 0101101 => 1010010
[7,5,4,3,6,1,8,2] => 1110101 => 1010111 => 0101000
[4,6,8,5,3,1,2,7] => 0011100 => 0011100 => 1100011
[5,6,8,4,3,7,2,1] => 0011011 => 1101100 => 0010011
[7,5,8,4,2,1,6,3] => 1011101 => 1011101 => 0100010
[1,4,8,7,6,2,5,3] => 0011101 => 1011100 => 0100011
[7,2,4,1,5,3,8,6] => 1010101 => 1010101 => 0101010
[8,5,3,4,1,7,2,6] => 1101010 => 0101011 => 1010100
[2,8,5,4,3,6,1,7] => 0111010 => 0101110 => 1010001
[8,6,5,3,1,2,7,4] => 1111001 => 1001111 => 0110000
[7,4,6,5,3,2,8,1] => 1011101 => 1011101 => 0100010
[5,6,7,2,3,8,4,1] => 0010011 => 1100100 => 0011011
[8,4,2,6,5,7,3,1] => 1101011 => 1101011 => 0010100
[1,7,4,2,8,5,6,3] => 0110101 => 1010110 => 0101001
[3,2,1,7,4,6,8,5] => 1101001 => 1001011 => 0110100
[6,2,5,7,1,4,3,8] => 1001010 => 0101001 => 1010110
[4,8,5,3,1,2,6,7] => 0111000 => 0001110 => 1110001
[8,5,2,4,6,1,3,7] => 1100100 => 0010011 => 1101100
[1,5,3,4,7,2,6,8] => 0100100 => 0010010 => 1101101
[8,4,6,1,5,7,3,2] => 1010011 => 1100101 => 0011010
[6,4,7,2,1,3,8,5] => 1011001 => 1001101 => 0110010
[6,7,3,1,2,4,8,5] => 0110001 => 1000110 => 0111001
[3,1,8,7,6,2,5,4] => 1011101 => 1011101 => 0100010
[1,3,8,6,7,2,5,4] => 0010101 => 1010100 => 0101011
[5,2,3,6,1,8,4,7] => 1001010 => 0101001 => 1010110
[3,2,6,4,7,1,5,8] => 1010100 => 0010101 => 1101010
[3,6,2,5,7,8,4,1] => 0100011 => 1100010 => 0011101
[2,7,4,6,8,3,5,1] => 0100101 => 1010010 => 0101101
[3,7,6,8,1,5,4,2] => 0101011 => 1101010 => 0010101
[1,5,7,6,8,4,2,3] => 0010110 => 0110100 => 1001011
[2,7,4,6,8,5,3,1] => 0100111 => 1110010 => 0001101
[3,7,6,8,5,1,4,2] => 0101101 => 1011010 => 0100101
[7,1,3,8,6,2,4,5] => 1001100 => 0011001 => 1100110
[2,7,1,8,6,5,3,4] => 0101110 => 0111010 => 1000101
[2,3,4,5,7,6,8,9,1] => 00001001 => 10010000 => 01101111
[2,3,4,5,7,8,6,9,1] => 00000101 => 10100000 => 01011111
[2,3,4,5,8,7,6,9,1] => 00001101 => 10110000 => 01001111
[2,3,4,5,7,9,8,6,1] => 00000111 => 11100000 => 00011111
[4,5,6,3,7,8,9,2,1] => 00100011 => 11000100 => 00111011
[3,4,5,6,2,7,8,9,10,1] => 000100001 => 100001000 => 011110111
[2,4,5,6,3,7,8,9,10,1] => 000100001 => 100001000 => 011110111
[2,3,5,6,4,7,8,9,10,1] => 000100001 => 100001000 => 011110111
[8,1,5,2,6,4,7,3] => 1010101 => 1010101 => 0101010
[4,6,7,5,1,2,3,8] => 0011000 => 0001100 => 1110011
[5,3,4,7,6,2,1,8] => 1001110 => 0111001 => 1000110
[4,1,8,5,7,2,6,3] => 1010101 => 1010101 => 0101010
[4,1,8,2,7,5,6,3] => 1010101 => 1010101 => 0101010
[7,6,8,2,4,3,5,1] => 1010101 => 1010101 => 0101010
[7,4,5,3,8,1,6,2] => 1010101 => 1010101 => 0101010
[7,3,6,1,4,2,8,5] => 1010101 => 1010101 => 0101010
[8,7,2,6,4,5,1,3] => 1101010 => 0101011 => 1010100
[1,2,3,4,7,9,5,6,8] => 00000100 => 00100000 => 11011111
[1,2,3,4,6,7,9,5,8] => 00000010 => 01000000 => 10111111
[1,2,3,4,8,5,6,9,7] => 00001001 => 10010000 => 01101111
[1,2,3,4,7,8,5,9,6] => 00000101 => 10100000 => 01011111
[2,6,4,8,3,5,1,7] => 0101010 => 0101010 => 1010101
[1,4,8,5,3,2,7,6] => 0011101 => 1011100 => 0100011
[3,5,8,4,6,7,1,2] => 0010010 => 0100100 => 1011011
[1,2,4,8,5,7,3,6] => 0001010 => 0101000 => 1010111
[7,3,4,1,8,2,5,6] => 1010100 => 0010101 => 1101010
[5,6,3,1,8,2,4,7] => 0110100 => 0010110 => 1101001
[7,3,6,5,1,8,4,2] => 1011011 => 1101101 => 0010010
[5,7,2,1,4,8,6,3] => 0110011 => 1100110 => 0011001
[7,6,3,5,2,1,8,4] => 1101101 => 1011011 => 0100100
[7,3,2,5,1,6,8,4] => 1101001 => 1001011 => 0110100
[3,5,1,7,6,4,8,2] => 0101101 => 1011010 => 0100101
[8,7,4,2,1,6,5,3] => 1111011 => 1101111 => 0010000
[5,4,7,6,2,1,8,3] => 1011101 => 1011101 => 0100010
[3,5,2,8,7,1,6,4] => 0101101 => 1011010 => 0100101
[3,7,6,5,4,1,8,2] => 0111101 => 1011110 => 0100001
[4,6,5,3,1,8,7,2] => 0111011 => 1101110 => 0010001
[4,5,2,6,7,3,8,1] => 0100101 => 1010010 => 0101101
[9,3,10,1,2,4,5,6,7,8] => 101000000 => 000000101 => 111111010
[10,3,1,9,2,4,5,6,7,8] => 110100000 => 000001011 => 111110100
[3,1,4,10,2,5,6,7,8,9] => 100100000 => 000001001 => 111110110
[8,6,7,4,3,1,5,2] => 1011101 => 1011101 => 0100010
[4,7,1,8,5,3,2,6] => 0101110 => 0111010 => 1000101
[8,6,7,1,4,3,5,2] => 1010101 => 1010101 => 0101010
[8,6,7,2,1,3,5,4] => 1011001 => 1001101 => 0110010
[8,5,6,1,7,4,2,3] => 1010110 => 0110101 => 1001010
[6,4,1,2,5,7,8,3] => 1100001 => 1000011 => 0111100
[6,1,5,4,2,7,3,8] => 1011010 => 0101101 => 1010010
[6,4,2,3,1,7,5,8] => 1101010 => 0101011 => 1010100
[3,4,6,1,8,2,7,5] => 0010101 => 1010100 => 0101011
[5,3,1,4,7,6,2,8] => 1100110 => 0110011 => 1001100
[6,4,5,2,7,1,3,8] => 1010100 => 0010101 => 1101010
[7,4,3,5,1,6,2,8] => 1101010 => 0101011 => 1010100
[7,5,3,6,2,1,4,8] => 1101100 => 0011011 => 1100100
[6,4,3,7,1,8,2,5] => 1101010 => 0101011 => 1010100
[3,1,2,7,6,4,5,8] => 1001100 => 0011001 => 1100110
[5,1,2,7,6,3,4,8] => 1001100 => 0011001 => 1100110
[5,6,1,7,2,4,3,8] => 0101010 => 0101010 => 1010101
[3,5,6,8,1,2,7,4] => 0001001 => 1001000 => 0110111
[2,6,5,7,1,3,4,8] => 0101000 => 0001010 => 1110101
[2,3,7,1,5,6,4,8] => 0010010 => 0100100 => 1011011
[2,6,5,3,4,1,7,8] => 0110100 => 0010110 => 1101001
[2,6,1,3,5,4,7,8] => 0100100 => 0010010 => 1101101
[4,6,1,5,2,8,7,3] => 0101011 => 1101010 => 0010101
[6,1,5,4,2,7,8,3] => 1011001 => 1001101 => 0110010
[4,6,1,5,2,7,8,3] => 0101001 => 1001010 => 0110101
[2,8,6,5,1,3,7,4] => 0111001 => 1001110 => 0110001
[5,1,8,6,2,7,4,3] => 1011011 => 1101101 => 0010010
[3,6,8,2,7,5,1,4] => 0010110 => 0110100 => 1001011
[5,6,4,1,7,2,8,3] => 0110101 => 1010110 => 0101001
[8,1,6,3,4,2,5,7] => 1010100 => 0010101 => 1101010
[7,4,2,3,1,6,8,5] => 1101001 => 1001011 => 0110100
[9,8,10,7,6,5,4,3,1,2] => 101111110 => 011111101 => 100000010
[8,7,9,6,5,4,2,1,3] => 10111110 => 01111101 => 10000010
[8,9,7,6,5,4,2,1,3] => 01111110 => 01111110 => 10000001
[8,9,7,6,5,4,2,3,1] => 01111101 => 10111110 => 01000001
[8,9,1,2,3,4,5,6,10,11,7] => 0100000001 => 1000000010 => 0111111101
[10,7,1,2,3,4,8,9,5,6] => 110000010 => 010000011 => 101111100
[1,6,4,5,7,3,2,8] => 0100110 => 0110010 => 1001101
[1,6,4,5,7,2,8,3] => 0100101 => 1010010 => 0101101
[1,7,5,6,4,8,3,2] => 0101011 => 1101010 => 0010101
[1,5,6,7,3,2,4,8] => 0001100 => 0011000 => 1100111
[8,2,4,3,1,7,5,6] => 1011010 => 0101101 => 1010010
[8,2,1,4,3,7,5,6] => 1101010 => 0101011 => 1010100
[7,6,8,2,1,5,3,4] => 1011010 => 0101101 => 1010010
[8,6,2,5,1,3,7,4] => 1101001 => 1001011 => 0110100
[5,7,2,6,4,1,8,3] => 0101101 => 1011010 => 0100101
[4,5,6,1,3,8,2,7] => 0010010 => 0100100 => 1011011
[6,3,5,7,4,2,8,1] => 1001101 => 1011001 => 0100110
[7,6,4,8,5,3,1,2] => 1101110 => 0111011 => 1000100
[8,2,1,6,4,7,3,5] => 1101010 => 0101011 => 1010100
[1,3,8,6,5,2,7,4] => 0011101 => 1011100 => 0100011
[2,7,3,8,5,6,4,1] => 0101011 => 1101010 => 0010101
[1,2,8,5,7,4,6,3] => 0010101 => 1010100 => 0101011
[1,6,8,5,4,7,2,3] => 0011010 => 0101100 => 1010011
[5,7,1,8,3,2,6,4] => 0101101 => 1011010 => 0100101
[2,1,3,8,6,4,7,5] => 1001101 => 1011001 => 0100110
[8,2,5,4,3,7,1,6] => 1011010 => 0101101 => 1010010
[5,8,4,3,7,6,2,1] => 0110111 => 1110110 => 0001001
[8,1,5,3,4,7,2,6] => 1010010 => 0100101 => 1011010
[6,1,8,7,4,5,3,2] => 1011011 => 1101101 => 0010010
[1,5,8,6,4,3,7,2] => 0011101 => 1011100 => 0100011
[5,8,6,4,2,1,7,3] => 0111101 => 1011110 => 0100001
[2,6,1,8,4,7,5,3] => 0101011 => 1101010 => 0010101
[5,3,8,6,1,2,7,4] => 1011001 => 1001101 => 0110010
[5,8,1,4,6,2,7,3] => 0100101 => 1010010 => 0101101
[3,7,6,2,1,4,8,5] => 0111001 => 1001110 => 0110001
[4,6,2,3,7,1,8,5] => 0100101 => 1010010 => 0101101
[6,8,7,5,1,3,4,2] => 0111001 => 1001110 => 0110001
[6,4,3,2,7,8,5,1] => 1110011 => 1100111 => 0011000
[2,7,6,1,5,3,8,4] => 0110101 => 1010110 => 0101001
[7,8,6,4,2,5,3,1] => 0111011 => 1101110 => 0010001
[6,4,5,8,7,1,3,2] => 1001101 => 1011001 => 0100110
[6,4,1,7,8,3,2,5] => 1100110 => 0110011 => 1001100
[2,3,4,5,8,6,7,9,1] => 00001001 => 10010000 => 01101111
[2,3,4,5,9,6,8,7,1] => 00001011 => 11010000 => 00101111
[9,3,4,5,2,6,7,8,1] => 10010001 => 10001001 => 01110110
[6,2,3,4,5,7,8,9,10,1] => 100000001 => 100000001 => 011111110
[2,6,3,4,5,7,8,9,10,1] => 010000001 => 100000010 => 011111101
[2,3,6,4,5,7,8,9,10,1] => 001000001 => 100000100 => 011111011
[6,4,3,8,7,2,5,1] => 1101101 => 1011011 => 0100100
[5,4,7,2,1,3,8,6] => 1011001 => 1001101 => 0110010
[7,8,2,3,4,5,1,6,9] => 01000100 => 00100010 => 11011101
[1,8,9,3,4,5,6,2,7] => 00100010 => 01000100 => 10111011
[2,6,4,5,7,1,8,3] => 0100101 => 1010010 => 0101101
[3,7,4,6,1,5,8,2] => 0101001 => 1001010 => 0110101
[3,4,6,5,2,8,1,7] => 0011010 => 0101100 => 1010011
[4,6,7,5,8,2,1,3] => 0010110 => 0110100 => 1001011
[2,5,7,6,4,1,8,3] => 0011101 => 1011100 => 0100011
[5,1,4,6,2,7,8,3] => 1001001 => 1001001 => 0110110
[1,2,5,3,7,8,6,4] => 0010011 => 1100100 => 0011011
[4,8,3,5,1,2,7,6] => 0101001 => 1001010 => 0110101
[6,1,3,7,2,8,4,5] => 1001010 => 0101001 => 1010110
[3,8,5,4,1,7,2,6] => 0111010 => 0101110 => 1010001
[3,1,5,8,2,6,7,4] => 1001001 => 1001001 => 0110110
[2,8,5,3,1,7,4,6] => 0111010 => 0101110 => 1010001
[6,5,2,3,7,1,8,4] => 1100101 => 1010011 => 0101100
[7,2,1,6,4,8,3,5] => 1101010 => 0101011 => 1010100
[2,1,3,7,5,8,4,6] => 1001010 => 0101001 => 1010110
[6,2,4,5,7,1,8,3] => 1000101 => 1010001 => 0101110
[2,3,8,7,1,4,6,5] => 0011001 => 1001100 => 0110011
[4,2,7,5,6,8,1,3] => 1010010 => 0100101 => 1011010
[2,1,3,4,5,8,6,7,9] => 10000100 => 00100001 => 11011110
[6,8,2,5,4,7,3,1] => 0101011 => 1101010 => 0010101
[9,2,3,4,5,1,6,7,8] => 10001000 => 00010001 => 11101110
[7,2,3,4,5,6,9,1,8] => 10000010 => 01000001 => 10111110
[10,2,3,4,5,6,7,1,8,9] => 100000100 => 001000001 => 110111110
[6,2,3,4,5,9,1,7,8] => 10000100 => 00100001 => 11011110
[10,2,3,4,5,6,1,7,8,9] => 100001000 => 000100001 => 111011110
[5,2,3,4,9,1,6,7,8] => 10001000 => 00010001 => 11101110
[10,2,3,4,5,1,6,7,8,9] => 100010000 => 000010001 => 111101110
[4,2,3,9,1,5,6,7,8] => 10010000 => 00001001 => 11110110
[10,2,3,4,1,5,6,7,8,9] => 100100000 => 000001001 => 111110110
[3,2,9,1,4,5,6,7,8] => 10100000 => 00000101 => 11111010
[2,7,6,3,8,4,5,1] => 0110101 => 1010110 => 0101001
[4,6,8,2,3,1,7,5] => 0010101 => 1010100 => 0101011
[4,7,2,3,5,1,8,6] => 0100101 => 1010010 => 0101101
[6,4,2,1,3,7,5,8] => 1110010 => 0100111 => 1011000
[2,8,1,3,4,5,6,10,7,9] => 010000010 => 010000010 => 101111101
[10,7,1,2,3,4,5,9,6,8] => 110000010 => 010000011 => 101111100
[5,3,2,7,6,1,8,4] => 1101101 => 1011011 => 0100100
[5,6,4,2,8,7,1,3] => 0110110 => 0110110 => 1001001
[5,7,4,2,6,1,8,3] => 0110101 => 1010110 => 0101001
[5,4,7,1,6,2,8,3] => 1010101 => 1010101 => 0101010
[4,5,8,7,6,2,1,3] => 0011110 => 0111100 => 1000011
[6,4,7,1,2,3,8,5] => 1010001 => 1000101 => 0111010
[4,5,6,8,2,9,3,10,7,1] => 000101011 => 110101000 => 001010111
[10,4,5,6,9,3,8,2,7,1] => 100010101 => 101010001 => 010101110
[4,5,10,6,9,3,8,2,7,1] => 001010101 => 101010100 => 010101011
[4,5,8,2,6,10,9,3,7,1] => 001001101 => 101100100 => 010011011
[10,6,9,5,4,3,8,2,7,1] => 101110101 => 101011101 => 010100010
[8,2,6,10,9,5,4,3,7,1] => 100111101 => 101111001 => 010000110
[8,2,10,4,5,6,7,1,9,3] => 101000101 => 101000101 => 010111010
[4,5,6,8,2,10,7,1,9,3] => 000101101 => 101101000 => 010010111
[10,4,5,6,8,2,7,1,9,3] => 100010101 => 101010001 => 010101110
[4,5,10,6,8,2,7,1,9,3] => 001010101 => 101010100 => 010101011
[4,5,10,8,2,6,7,1,9,3] => 001100101 => 101001100 => 010110011
[10,6,8,2,7,1,9,5,4,3] => 101010111 => 111010101 => 000101010
[10,8,2,6,7,1,9,5,4,3] => 110010111 => 111010011 => 000101100
[8,2,7,1,9,3,10,4,5,6] => 101010100 => 001010101 => 110101010
[4,5,8,2,7,1,9,3,10,6] => 001010101 => 101010100 => 010101011
[4,5,9,3,10,7,1,8,2,6] => 001011010 => 010110100 => 101001011
[4,5,7,1,9,3,8,2,6,10] => 001010100 => 001010100 => 110101011
[8,2,7,1,9,5,4,3,10,6] => 101011101 => 101110101 => 010001010
[9,5,4,3,10,7,1,8,2,6] => 111011010 => 010110111 => 101001000
[7,1,9,5,4,3,8,2,6,10] => 101110100 => 001011101 => 110100010
[8,2,6,10,4,5,7,1,9,3] => 100100101 => 101001001 => 010110110
[4,8,2,6,10,5,7,1,9,3] => 010010101 => 101010010 => 010101101
[4,10,8,2,5,6,7,1,9,3] => 011000101 => 101000110 => 010111001
[8,2,6,10,5,7,1,9,4,3] => 100101011 => 110101001 => 001010110
[10,8,2,5,6,7,1,9,4,3] => 110001011 => 110100011 => 001011100
[9,3,10,4,5,7,1,8,2,6] => 101001010 => 010100101 => 101011010
[4,9,3,10,5,7,1,8,2,6] => 010101010 => 010101010 => 101010101
[4,9,3,10,7,1,8,2,5,6] => 010110100 => 001011010 => 110100101
[4,7,1,9,3,8,2,5,6,10] => 010101000 => 000101010 => 111010101
[9,4,3,10,5,7,1,8,2,6] => 110101010 => 010101011 => 101010100
[9,4,3,10,7,1,8,2,5,6] => 110110100 => 001011011 => 110100100
[7,1,9,4,3,8,2,5,6,10] => 101101000 => 000101101 => 111010010
[5,10,7,1,8,2,4,3,9,6] => 011010101 => 101010110 => 010101001
[5,7,1,8,2,4,3,9,6,10] => 010101010 => 010101010 => 101010101
[10,5,7,1,9,4,2,6,8,3] => 101011001 => 100110101 => 011001010
[9,4,2,5,6,7,1,10,8,3] => 110001011 => 110100011 => 001011100
[10,5,7,1,8,3,9,4,2,6] => 101010110 => 011010101 => 100101010
[10,7,1,8,3,9,4,2,5,6] => 110101100 => 001101011 => 110010100
[7,1,8,3,9,4,2,5,6,10] => 101011000 => 000110101 => 111001010
[4,2,5,10,7,1,8,3,9,6] => 100110101 => 101011001 => 010100110
[4,2,5,7,1,8,3,9,6,10] => 100101010 => 010101001 => 101010110
[1,8,7,2,3,4,6,5] => 0110001 => 1000110 => 0111001
[1,8,3,7,6,2,5,4] => 0101101 => 1011010 => 0100101
[1,3,8,2,5,6,4,7] => 0010010 => 0100100 => 1011011
[1,3,2,7,4,6,8,5] => 0101001 => 1001010 => 0110101
[1,3,8,4,6,2,7,5] => 0010101 => 1010100 => 0101011
[8,2,3,6,7,4,5,1] => 1000101 => 1010001 => 0101110
[5,6,4,2,1,7,3,8] => 0111010 => 0101110 => 1010001
[2,5,7,6,3,8,4,1] => 0011011 => 1101100 => 0010011
[6,4,7,1,2,5,3,8] => 1010010 => 0100101 => 1011010
[4,5,6,7,8,9,1,2,10,3] => 000001001 => 100100000 => 011011111
[4,5,6,7,8,1,3,9,2] => 00001001 => 10010000 => 01101111
[1,2,7,5,8,6,3,4] => 0010110 => 0110100 => 1001011
[2,1,9,8,7,6,5,3,4] => 10111110 => 01111101 => 10000010
[2,1,9,8,7,6,4,3,5] => 10111110 => 01111101 => 10000010
[2,1,9,8,7,6,3,5,4] => 10111101 => 10111101 => 01000010
[2,1,10,9,8,7,6,5,3,4] => 101111110 => 011111101 => 100000010
[7,4,5,1,6,8,2,3] => 1010010 => 0100101 => 1011010
[1,7,8,4,2,6,3,5] => 0011010 => 0101100 => 1010011
[6,3,2,5,7,4,1,8] => 1100110 => 0110011 => 1001100
[6,2,1,5,3,7,8,4] => 1101001 => 1001011 => 0110100
[6,2,5,1,3,8,7,4] => 1010011 => 1100101 => 0011010
[6,2,8,5,1,3,7,4] => 1011001 => 1001101 => 0110010
[10,9,7,3,6,1,2,4,8,5] => 111010001 => 100010111 => 011101000
[9,7,3,6,1,2,4,10,8,5] => 110100011 => 110001011 => 001110100
[7,3,10,9,6,1,2,4,8,5] => 101110001 => 100011101 => 011100010
[7,3,9,6,1,2,4,10,8,5] => 101100011 => 110001101 => 001110010
[9,6,1,2,4,10,7,3,8,5] => 110001101 => 101100011 => 010011100
[8,4,10,9,7,3,6,1,2,5] => 101110100 => 001011101 => 110100010
[10,8,4,9,7,3,6,1,2,5] => 110110100 => 001011011 => 110100100
[7,3,8,4,10,9,6,1,2,5] => 101011100 => 001110101 => 110001010
[7,3,10,8,4,9,6,1,2,5] => 101101100 => 001101101 => 110010010
[10,7,3,8,4,9,6,1,2,5] => 110101100 => 001101011 => 110010100
[6,1,2,7,3,8,4,10,9,5] => 100101011 => 110101001 => 001010110
[6,1,2,7,3,10,8,4,9,5] => 100101101 => 101101001 => 010010110
[6,1,2,10,7,3,8,4,9,5] => 100110101 => 101011001 => 010100110
[10,6,1,2,7,3,8,4,9,5] => 110010101 => 101010011 => 010101100
[6,1,3,10,9,7,2,4,8,5] => 100111001 => 100111001 => 011000110
[6,1,3,9,7,2,4,10,8,5] => 100110011 => 110011001 => 001100110
[10,9,6,1,3,7,2,4,8,5] => 111001001 => 100100111 => 011011000
[9,6,1,3,7,2,4,10,8,5] => 110010011 => 110010011 => 001101100
[10,7,2,4,9,6,1,3,8,5] => 110011001 => 100110011 => 011001100
[6,1,3,8,4,10,9,7,2,5] => 100101110 => 011101001 => 100010110
[6,1,3,10,8,4,9,7,2,5] => 100110110 => 011011001 => 100100110
[8,4,10,9,6,1,3,7,2,5] => 101110010 => 010011101 => 101100010
[10,8,4,9,6,1,3,7,2,5] => 110110010 => 010011011 => 101100100
[9,6,1,3,8,4,10,7,2,5] => 110010110 => 011010011 => 100101100
[7,2,6,1,3,8,4,10,9,5] => 101001011 => 110100101 => 001011010
[7,2,6,1,3,10,8,4,9,5] => 101001101 => 101100101 => 010011010
[10,7,2,6,1,3,8,4,9,5] => 110100101 => 101001011 => 010110100
[7,2,10,6,1,3,8,4,9,5] => 101100101 => 101001101 => 010110010
[8,3,6,1,4,10,9,7,2,5] => 101001110 => 011100101 => 100011010
[10,8,3,6,1,4,9,7,2,5] => 110100110 => 011001011 => 100110100
[10,9,6,1,4,8,3,7,2,5] => 111001010 => 010100111 => 101011000
[9,6,1,4,10,8,3,7,2,5] => 110011010 => 010110011 => 101001100
[8,3,9,6,1,4,10,7,2,5] => 101100110 => 011001101 => 100110010
[8,3,7,2,6,1,4,10,9,5] => 101010011 => 110010101 => 001101010
[10,8,3,7,2,6,1,4,9,5] => 110101001 => 100101011 => 011010100
[8,3,10,7,2,6,1,4,9,5] => 101101001 => 100101101 => 011010010
[7,2,8,3,10,6,1,4,9,5] => 101011001 => 100110101 => 011001010
[9,4,10,8,3,7,2,6,1,5] => 101101010 => 010101101 => 101010010
[8,3,9,4,10,7,2,6,1,5] => 101011010 => 010110101 => 101001010
[7,2,8,3,9,4,10,6,1,5] => 101010110 => 011010101 => 100101010
[12,11,9,5,10,7,1,2,4,8,3,6] => 11101100010 => 01000110111 => 10111001000
[11,9,5,12,10,7,1,2,4,8,3,6] => 11011100010 => 01000111011 => 10111000100
[10,7,1,2,4,9,5,12,11,8,3,6] => 11000101110 => 01110100011 => 10001011100
[8,3,7,1,2,4,12,11,9,5,10,6] => 10100011101 => 10111000101 => 01000111010
[8,3,7,1,2,4,11,9,5,12,10,6] => 10100011011 => 11011000101 => 00100111010
[12,11,8,3,7,1,2,4,9,5,10,6] => 11101000101 => 10100010111 => 01011101000
[12,9,5,11,8,3,7,1,2,4,10,6] => 11011010001 => 10001011011 => 01110100100
[8,3,12,11,7,1,2,4,9,5,10,6] => 10111000101 => 10100011101 => 01011100010
[8,3,11,7,1,2,4,9,5,12,10,6] => 10110001011 => 11010001101 => 00101110010
[8,3,12,9,5,11,7,1,2,4,10,6] => 10110110001 => 10001101101 => 01110010010
[12,8,3,9,5,11,7,1,2,4,10,6] => 11010110001 => 10001101011 => 01110010100
[9,4,12,10,7,1,2,5,11,8,3,6] => 10111000110 => 01100011101 => 10011100010
[12,11,9,4,8,3,7,1,2,5,10,6] => 11101010001 => 10001010111 => 01110101000
[9,4,12,11,8,3,7,1,2,5,10,6] => 10111010001 => 10001011101 => 01110100010
[8,3,9,4,12,11,7,1,2,5,10,6] => 10101110001 => 10001110101 => 01110001010
[12,10,5,11,9,4,8,3,7,1,2,6] => 11011010100 => 00101011011 => 11010100100
[9,4,10,5,12,11,8,3,7,1,2,6] => 10101110100 => 00101110101 => 11010001010
[9,4,12,10,5,11,8,3,7,1,2,6] => 10110110100 => 00101101101 => 11010010010
[12,9,4,10,5,11,8,3,7,1,2,6] => 11010110100 => 00101101011 => 11010010100
[8,3,9,4,10,5,12,11,7,1,2,6] => 10101011100 => 00111010101 => 11000101010
[12,8,3,9,4,10,5,11,7,1,2,6] => 11010101100 => 00110101011 => 11001010100
[7,1,2,8,3,9,4,10,5,12,11,6] => 10010101011 => 11010101001 => 00101010110
[7,1,2,8,3,9,4,12,10,5,11,6] => 10010101101 => 10110101001 => 01001010110
[7,1,2,8,3,12,9,4,10,5,11,6] => 10010110101 => 10101101001 => 01010010110
[7,1,2,12,8,3,9,4,10,5,11,6] => 10011010101 => 10101011001 => 01010100110
[12,7,1,2,8,3,9,4,10,5,11,6] => 11001010101 => 10101010011 => 01010101100
[12,11,8,2,4,9,5,10,7,1,3,6] => 11100101100 => 00110100111 => 11001011000
[12,9,5,11,8,2,4,10,7,1,3,6] => 11011001100 => 00110011011 => 11001100100
[7,1,3,8,2,4,12,11,9,5,10,6] => 10010011101 => 10111001001 => 01000110110
[7,1,3,8,2,4,11,9,5,12,10,6] => 10010011011 => 11011001001 => 00100110110
[7,1,3,11,8,2,4,9,5,12,10,6] => 10011001011 => 11010011001 => 00101100110
[12,11,7,1,3,8,2,4,9,5,10,6] => 11100100101 => 10100100111 => 01011011000
[12,9,5,11,7,1,3,8,2,4,10,6] => 11011001001 => 10010011011 => 01101100100
[11,7,1,3,9,5,12,8,2,4,10,6] => 11001011001 => 10011010011 => 01100101100
[12,11,9,4,8,2,5,10,7,1,3,6] => 11101001100 => 00110010111 => 11001101000
[11,8,2,5,12,9,4,10,7,1,3,6] => 11001101100 => 00110110011 => 11001001100
[7,1,3,12,11,9,4,8,2,5,10,6] => 10011101001 => 10010111001 => 01101000110
[7,1,3,11,9,4,8,2,5,12,10,6] => 10011010011 => 11001011001 => 00110100110
[7,1,3,9,4,11,8,2,5,12,10,6] => 10010110011 => 11001101001 => 00110010110
[7,1,3,11,8,2,5,12,9,4,10,6] => 10011001101 => 10110011001 => 01001100110
[9,4,12,11,7,1,3,8,2,5,10,6] => 10111001001 => 10010011101 => 01101100010
[9,4,11,7,1,3,8,2,5,12,10,6] => 10110010011 => 11001001101 => 00110110010
[11,7,1,3,8,2,5,12,9,4,10,6] => 11001001101 => 10110010011 => 01001101100
[12,8,2,5,11,7,1,3,9,4,10,6] => 11001100101 => 10100110011 => 01011001100
[7,1,3,9,4,10,5,12,11,8,2,6] => 10010101110 => 01110101001 => 10001010110
[9,4,10,5,12,11,7,1,3,8,2,6] => 10101110010 => 01001110101 => 10110001010
[12,9,4,10,5,11,7,1,3,8,2,6] => 11010110010 => 01001101011 => 10110010100
[8,2,7,1,3,9,4,10,5,12,11,6] => 10100101011 => 11010100101 => 00101011010
[8,2,7,1,3,9,4,12,10,5,11,6] => 10100101101 => 10110100101 => 01001011010
[8,2,7,1,3,12,9,4,10,5,11,6] => 10100110101 => 10101100101 => 01010011010
[12,8,2,7,1,3,9,4,10,5,11,6] => 11010010101 => 10101001011 => 01010110100
[8,2,12,7,1,3,9,4,10,5,11,6] => 10110010101 => 10101001101 => 01010110010
[10,7,1,4,8,2,5,12,11,9,3,6] => 11001001110 => 01110010011 => 10001101100
[12,11,8,2,5,10,7,1,4,9,3,6] => 11100110010 => 01001100111 => 10110011000
[11,8,2,5,12,10,7,1,4,9,3,6] => 11001110010 => 01001110011 => 10110001100
[10,7,1,4,11,8,2,5,12,9,3,6] => 11001100110 => 01100110011 => 10011001100
[12,11,9,3,7,1,4,8,2,5,10,6] => 11101001001 => 10010010111 => 01101101000
[11,9,3,7,1,4,8,2,5,12,10,6] => 11010010011 => 11001001011 => 00110110100
[9,3,7,1,4,11,8,2,5,12,10,6] => 10100110011 => 11001100101 => 00110011010
[11,8,2,5,12,9,3,7,1,4,10,6] => 11001101001 => 10010110011 => 01101001100
[12,11,7,1,4,9,3,8,2,5,10,6] => 11100101001 => 10010100111 => 01101011000
[12,9,3,8,2,5,11,7,1,4,10,6] => 11010011001 => 10011001011 => 01100110100
[9,3,12,8,2,5,11,7,1,4,10,6] => 10110011001 => 10011001101 => 01100110010
[12,10,5,11,9,3,7,1,4,8,2,6] => 11011010010 => 01001011011 => 10110100100
[12,10,5,11,7,1,4,9,3,8,2,6] => 11011001010 => 01010011011 => 10101100100
[9,3,8,2,7,1,4,10,5,12,11,6] => 10101001011 => 11010010101 => 00101101010
[9,3,8,2,7,1,4,12,10,5,11,6] => 10101001101 => 10110010101 => 01001101010
[12,9,3,8,2,7,1,4,10,5,11,6] => 11010100101 => 10100101011 => 01011010100
[9,3,12,8,2,7,1,4,10,5,11,6] => 10110100101 => 10100101101 => 01011010010
[8,2,9,3,12,7,1,4,10,5,11,6] => 10101100101 => 10100110101 => 01011001010
[12,11,9,3,7,1,5,10,4,8,2,6] => 11101001010 => 01010010111 => 10101101000
[12,11,7,1,5,10,4,9,3,8,2,6] => 11100101010 => 01010100111 => 10101011000
[10,4,9,3,8,2,7,1,5,12,11,6] => 10101010011 => 11001010101 => 00110101010
[12,10,4,9,3,8,2,7,1,5,11,6] => 11010101001 => 10010101011 => 01101010100
[10,4,12,9,3,8,2,7,1,5,11,6] => 10110101001 => 10010101101 => 01101010010
[9,3,10,4,12,8,2,7,1,5,11,6] => 10101101001 => 10010110101 => 01101001010
[8,2,9,3,10,4,12,7,1,5,11,6] => 10101011001 => 10011010101 => 01100101010
[12,11,5,10,4,9,3,8,2,7,1,6] => 11010101010 => 01010101011 => 10101010100
[8,2,9,3,10,4,11,5,12,7,1,6] => 10101010110 => 01101010101 => 10010101010
[4,1,7,8,3,6,5,2] => 1001011 => 1101001 => 0010110
[6,4,2,1,7,3,5,8] => 1110100 => 0010111 => 1101000
[5,8,4,2,1,3,6,7] => 0111000 => 0001110 => 1110001
[4,5,3,6,7,8,9,1,2] => 01000010 => 01000010 => 10111101
[5,3,4,6,7,8,9,1,2] => 10000010 => 01000001 => 10111110
[1,7,5,8,4,3,6,2] => 0101101 => 1011010 => 0100101
[5,8,1,6,4,7,2,3] => 0101010 => 0101010 => 1010101
[2,4,7,5,1,8,6,3] => 0011011 => 1101100 => 0010011
[2,3,7,1,8,5,6,4] => 0010101 => 1010100 => 0101011
[6,5,1,2,7,4,8,3] => 1100101 => 1010011 => 0101100
[3,6,5,7,8,2,4,1] => 0100101 => 1010010 => 0101101
[3,6,5,1,8,7,4,2] => 0110111 => 1110110 => 0001001
[7,8,1,2,5,4,3,6] => 0100110 => 0110010 => 1001101
[2,8,4,3,5,1,7,6] => 0110101 => 1010110 => 0101001
[5,2,4,7,6,8,1,3] => 1001010 => 0101001 => 1010110
[3,1,5,7,4,8,6,2] => 1001011 => 1101001 => 0010110
[4,1,7,6,8,2,5,3] => 1010101 => 1010101 => 0101010
[7,2,6,4,1,5,3,8] => 1011010 => 0101101 => 1010010
[1,2,6,5,8,3,7,4] => 0010101 => 1010100 => 0101011
[7,3,5,6,1,4,2,8] => 1001010 => 0101001 => 1010110
[5,8,3,1,6,7,4,2] => 0110011 => 1100110 => 0011001
[4,5,8,1,7,3,6,2] => 0010101 => 1010100 => 0101011
[4,7,1,6,8,5,2,3] => 0100110 => 0110010 => 1001101
[5,8,7,1,6,4,2,3] => 0110110 => 0110110 => 1001001
[1,7,3,8,2,5,4,6] => 0101010 => 0101010 => 1010101
[8,4,1,3,6,7,5,2] => 1100011 => 1100011 => 0011100
[5,3,1,8,6,7,4,2] => 1101011 => 1101011 => 0010100
[6,2,7,1,4,3,5,8] => 1010100 => 0010101 => 1101010
[9,5,4,3,2,1,6,7,8] => 11111000 => 00011111 => 11100000
[10,3,4,1,2,5,6,7,8,9] => 101000000 => 000000101 => 111111010
[8,3,2,6,5,1,7,4] => 1101101 => 1011011 => 0100100
[7,3,2,6,5,1,4,8] => 1101100 => 0011011 => 1100100
[2,6,8,4,7,1,3,5] => 0010100 => 0010100 => 1101011
[7,8,6,3,2,5,4,1] => 0111011 => 1101110 => 0010001
[5,2,8,6,3,1,4,7] => 1011100 => 0011101 => 1100010
[1,6,4,8,2,3,5,7] => 0101000 => 0001010 => 1110101
[2,8,5,6,4,1,7,3] => 0101101 => 1011010 => 0100101
[1,4,7,3,5,8,6,2] => 0010011 => 1100100 => 0011011
[3,7,8,2,5,1,6,4] => 0010101 => 1010100 => 0101011
[8,6,1,4,3,2,7,5] => 1101101 => 1011011 => 0100100
[7,3,8,2,4,1,5,6] => 1010100 => 0010101 => 1101010
[6,3,7,8,1,2,5,4] => 1001001 => 1001001 => 0110110
[7,6,1,5,2,3,8,4] => 1101001 => 1001011 => 0110100
[5,1,8,6,7,2,3,4] => 1010100 => 0010101 => 1101010
[5,7,1,6,8,2,3,4] => 0100100 => 0010010 => 1101101
[6,8,4,2,1,7,3,5] => 0111010 => 0101110 => 1010001
[6,3,2,8,1,7,4,5] => 1101010 => 0101011 => 1010100
[6,4,1,3,7,8,5,2] => 1100011 => 1100011 => 0011100
[6,8,5,4,3,7,1,2] => 0111010 => 0101110 => 1010001
[5,7,4,8,3,1,2,6] => 0101100 => 0011010 => 1100101
[6,1,2,4,8,3,7,5] => 1000101 => 1010001 => 0101110
[2,5,6,8,1,4,7,3] => 0001001 => 1001000 => 0110111
[7,4,1,6,5,2,3,8] => 1101100 => 0011011 => 1100100
[4,1,6,5,2,3,8,7] => 1011001 => 1001101 => 0110010
[4,5,1,7,8,6,2,3] => 0100110 => 0110010 => 1001101
[8,5,7,3,4,6,2,1] => 1010011 => 1100101 => 0011010
[6,8,7,4,3,5,2,1] => 0111011 => 1101110 => 0010001
[6,8,7,5,3,4,2,1] => 0111011 => 1101110 => 0010001
[5,8,6,2,4,7,3,1] => 0110011 => 1100110 => 0011001
[4,8,6,2,5,7,3,1] => 0110011 => 1100110 => 0011001
[1,6,4,7,5,3,2,8] => 0101110 => 0111010 => 1000101
[1,6,5,3,2,7,4,8] => 0111010 => 0101110 => 1010001
[1,6,8,7,4,5,3,2] => 0011011 => 1101100 => 0010011
[1,4,7,5,3,2,6,8] => 0011100 => 0011100 => 1100011
[1,7,5,4,3,2,8,6] => 0111101 => 1011110 => 0100001
[1,4,7,5,3,2,8,6] => 0011101 => 1011100 => 0100011
[1,7,4,6,8,5,3,2] => 0100111 => 1110010 => 0001101
[6,8,7,2,3,5,4,1] => 0110011 => 1100110 => 0011001
[5,7,6,1,8,2,4,3] => 0110101 => 1010110 => 0101001
[4,8,6,5,7,2,3,1] => 0110101 => 1010110 => 0101001
[2,7,8,5,1,4,3,6] => 0011010 => 0101100 => 1010011
[8,5,6,2,4,7,3,1] => 1010011 => 1100101 => 0011010
[3,5,8,4,2,6,1,7] => 0011010 => 0101100 => 1010011
[8,1,3,6,4,5,2,7] => 1001010 => 0101001 => 1010110
[1,2,3,7,4,8,5,9,6] => 00010101 => 10101000 => 01010111
[1,2,3,4,7,5,9,8,6] => 00001011 => 11010000 => 00101111
[1,2,6,3,7,4,9,8,5] => 00101011 => 11010100 => 00101011
[1,2,3,8,6,4,9,7,5] => 00011011 => 11011000 => 00100111
[1,2,3,6,4,9,8,7,5] => 00010111 => 11101000 => 00010111
[5,1,6,2,7,3,9,8,4] => 10101011 => 11010101 => 00101010
[1,5,2,8,6,3,9,7,4] => 01011011 => 11011010 => 00100101
[1,5,2,6,3,9,8,7,4] => 01010111 => 11101010 => 00010101
[1,2,7,5,3,9,8,6,4] => 00110111 => 11101100 => 00010011
[1,2,5,3,9,8,7,6,4] => 00101111 => 11110100 => 00001011
[4,1,7,5,2,9,8,6,3] => 10110111 => 11101101 => 00010010
[4,1,5,2,9,8,7,6,3] => 10101111 => 11110101 => 00001010
[1,6,4,2,9,8,7,5,3] => 01101111 => 11110110 => 00001001
[1,4,2,9,8,7,6,5,3] => 01011111 => 11111010 => 00000101
[7,5,3,1,9,8,6,4,2] => 11101111 => 11110111 => 00001000
[5,3,1,9,8,7,6,4,2] => 11011111 => 11111011 => 00000100
[1,2,3,4,8,5,9,6,10,7] => 000010101 => 101010000 => 010101111
[1,2,3,4,5,8,6,10,9,7] => 000001011 => 110100000 => 001011111
[1,2,3,7,4,8,5,10,9,6] => 000101011 => 110101000 => 001010111
[1,2,3,4,9,7,5,10,8,6] => 000011011 => 110110000 => 001001111
[1,2,3,4,7,5,10,9,8,6] => 000010111 => 111010000 => 000101111
[1,6,2,7,3,8,4,10,9,5] => 010101011 => 110101010 => 001010101
[1,2,6,3,9,7,4,10,8,5] => 001011011 => 110110100 => 001001011
[1,2,6,3,7,4,10,9,8,5] => 001010111 => 111010100 => 000101011
[1,2,3,8,6,4,10,9,7,5] => 000110111 => 111011000 => 000100111
[1,2,3,6,4,10,9,8,7,5] => 000101111 => 111101000 => 000010111
[5,1,6,2,9,7,3,10,8,4] => 101011011 => 110110101 => 001001010
[5,1,6,2,7,3,10,9,8,4] => 101010111 => 111010101 => 000101010
[1,5,2,6,3,10,9,8,7,4] => 010101111 => 111101010 => 000010101
[1,2,7,5,3,10,9,8,6,4] => 001101111 => 111101100 => 000010011
[1,2,5,3,10,9,8,7,6,4] => 001011111 => 111110100 => 000001011
[7,4,1,8,5,2,10,9,6,3] => 110110111 => 111011011 => 000100100
[4,1,9,7,5,2,10,8,6,3] => 101110111 => 111011101 => 000100010
[4,1,7,5,2,10,9,8,6,3] => 101101111 => 111101101 => 000010010
[4,1,5,2,10,9,8,7,6,3] => 101011111 => 111110101 => 000001010
[1,8,6,4,2,10,9,7,5,3] => 011101111 => 111101110 => 000010001
[1,6,4,2,10,9,8,7,5,3] => 011011111 => 111110110 => 000001001
[1,4,2,10,9,8,7,6,5,3] => 010111111 => 111111010 => 000000101
[7,5,3,1,10,9,8,6,4,2] => 111011111 => 111110111 => 000001000
[5,3,1,10,9,8,7,6,4,2] => 110111111 => 111111011 => 000000100
[4,3,1,6,2,5,8,7] => 1101001 => 1001011 => 0110100
[7,5,2,1,8,4,3,6] => 1110110 => 0110111 => 1001000
[5,3,1,4,7,8,2,6] => 1100010 => 0100011 => 1011100
[7,1,2,4,8,3,5,6] => 1000100 => 0010001 => 1101110
[8,6,1,3,5,7,4,2] => 1100011 => 1100011 => 0011100
[7,1,5,8,2,3,4,6] => 1001000 => 0001001 => 1110110
[3,6,8,5,1,4,2,7] => 0011010 => 0101100 => 1010011
[5,2,4,1,6,8,3,7] => 1010010 => 0100101 => 1011010
[2,5,3,4,6,8,1,7] => 0100010 => 0100010 => 1011101
[4,7,1,2,5,6,3,8] => 0100010 => 0100010 => 1011101
[6,7,3,1,8,2,4,5] => 0110100 => 0010110 => 1101001
[7,3,1,4,6,2,8,5] => 1100101 => 1010011 => 0101100
[7,4,1,2,5,6,3,8] => 1100010 => 0100011 => 1011100
[5,4,1,3,6,8,7,2] => 1100011 => 1100011 => 0011100
[5,7,4,8,1,6,3,2] => 0101011 => 1101010 => 0010101
[4,3,1,2,5,7,6,8] => 1100010 => 0100011 => 1011100
[2,3,4,5,8,7,6,1,9] => 00001110 => 01110000 => 10001111
[1,3,4,5,6,9,8,7,2] => 00000111 => 11100000 => 00011111
[1,2,3,4,5,8,9,7,6] => 00000011 => 11000000 => 00111111
[1,2,3,4,8,9,6,7,5] => 00000101 => 10100000 => 01011111
[1,2,3,8,9,5,6,7,4] => 00001001 => 10010000 => 01101111
[1,2,4,7,8,5,6,3] => 0000101 => 1010000 => 0101111
[1,2,8,9,4,5,6,7,3] => 00010001 => 10001000 => 01110111
[8,3,6,5,7,4,2,1] => 1010111 => 1110101 => 0001010
[8,2,6,5,7,4,3,1] => 1010111 => 1110101 => 0001010
[8,4,7,1,5,2,6,3] => 1010101 => 1010101 => 0101010
[8,2,6,3,7,5,4,1] => 1010111 => 1110101 => 0001010
[8,2,5,3,7,6,4,1] => 1010111 => 1110101 => 0001010
[8,5,7,1,4,3,6,2] => 1010101 => 1010101 => 0101010
[5,3,1,8,4,2,6,7] => 1101100 => 0011011 => 1100100
[4,5,3,6,8,7,1,2] => 0100110 => 0110010 => 1001101
[2,1,6,5,8,7,3,4] => 1010110 => 0110101 => 1001010
[6,1,5,4,7,3,8,2] => 1010101 => 1010101 => 0101010
[9,4,2,3,5,6,7,8,1] => 11000001 => 10000011 => 01111100
[3,1,8,4,2,7,6,5] => 1011011 => 1101101 => 0010010
[2,8,7,4,1,3,6,5] => 0111001 => 1001110 => 0110001
[8,2,3,1,7,6,4,5] => 1010110 => 0110101 => 1001010
[8,7,2,3,1,6,4,5] => 1101010 => 0101011 => 1010100
[7,2,5,8,3,1,4,6] => 1001100 => 0011001 => 1100110
[6,8,2,3,1,7,4,5] => 0101010 => 0101010 => 1010101
[8,2,5,7,3,1,4,6] => 1001100 => 0011001 => 1100110
[8,2,7,3,1,4,5,6] => 1011000 => 0001101 => 1110010
[5,3,2,8,7,1,6,4] => 1101101 => 1011011 => 0100100
[8,6,7,4,1,3,5,2] => 1011001 => 1001101 => 0110010
[4,1,3,6,5,2,8,7] => 1001101 => 1011001 => 0100110
[4,6,3,2,5,1,8,7] => 0110101 => 1010110 => 0101001
[4,8,3,2,6,5,7,1] => 0110101 => 1010110 => 0101001
[4,8,3,6,5,2,7,1] => 0101101 => 1011010 => 0100101
[8,1,6,2,5,4,7,3] => 1010101 => 1010101 => 0101010
[2,4,3,8,6,1,7,5] => 0101101 => 1011010 => 0100101
[2,6,3,8,5,4,7,1] => 0101101 => 1011010 => 0100101
[6,1,3,2,5,8,7,4] => 1010011 => 1100101 => 0011010
[6,8,4,2,5,3,7,1] => 0110101 => 1010110 => 0101001
[6,8,4,3,5,2,7,1] => 0110101 => 1010110 => 0101001
[8,1,4,6,5,3,7,2] => 1001101 => 1011001 => 0100110
[1,4,2,5,6,7,9,8,3] => 01000011 => 11000010 => 00111101
[2,3,4,5,6,7,8,9,1,11,10] => 0000000101 => 1010000000 => 0101111111
[2,1,4,5,6,9,7,3,8] => 10000110 => 01100001 => 10011110
[3,5,4,6,1,2,8,7] => 0101001 => 1001010 => 0110101
[3,1,5,2,9,6,7,8,4] => 10101001 => 10010101 => 01101010
[4,5,1,6,8,7,9,2,3] => 01001010 => 01010010 => 10101101
[1,4,2,5,6,7,8,10,9,3] => 010000011 => 110000010 => 001111101
[3,4,1,5,6,7,8,9,10,11,2] => 0100000001 => 1000000010 => 0111111101
[1,3,4,5,6,7,8,9,11,2,10] => 0000000010 => 0100000000 => 1011111111
[2,1,4,5,6,7,10,8,3,9] => 100000110 => 011000001 => 100111110
[2,3,1,5,9,6,7,4,8] => 01001010 => 01010010 => 10101101
[1,2,4,5,7,9,6,3,8] => 00000110 => 01100000 => 10011111
[3,4,6,5,7,1,2,9,8] => 00101001 => 10010100 => 01101011
[3,1,9,4,2,6,7,8,5] => 10110001 => 10001101 => 01110010
[7,3,5,6,1,8,2,4] => 1001010 => 0101001 => 1010110
[1,2,5,3,9,6,8,7,4] => 00101011 => 11010100 => 00101011
[3,1,5,2,6,10,7,8,9,4] => 101001001 => 100100101 => 011011010
[4,5,1,7,6,8,2,9,3] => 01010101 => 10101010 => 01010101
[4,5,1,6,7,9,8,10,2,3] => 010001010 => 010100010 => 101011101
[3,4,1,5,6,7,8,9,10,11,12,2] => 01000000001 => 10000000010 => 01111111101
[5,7,6,3,4,2,8,1] => 0110101 => 1010110 => 0101001
[4,6,7,2,3,5,8,1] => 0010001 => 1000100 => 0111011
[6,5,4,8,7,2,3,1] => 1101101 => 1011011 => 0100100
[7,2,8,3,9,4,10,5,1,6] => 101010110 => 011010101 => 100101010
[7,2,8,3,9,4,10,1,5,6] => 101010100 => 001010101 => 110101010
[7,2,8,3,9,10,4,5,1,6] => 101001010 => 010100101 => 101011010
[7,2,8,3,9,10,4,1,5,6] => 101001100 => 001100101 => 110011010
[7,2,8,3,9,10,1,4,5,6] => 101001000 => 000100101 => 111011010
[7,2,8,9,3,4,10,5,1,6] => 100100110 => 011001001 => 100110110
[7,2,8,9,3,4,10,1,5,6] => 100100100 => 001001001 => 110110110
[7,2,8,9,3,10,4,5,1,6] => 100101010 => 010101001 => 101010110
[7,2,8,9,3,10,4,1,5,6] => 100101100 => 001101001 => 110010110
[7,2,8,9,3,10,1,4,5,6] => 100101000 => 000101001 => 111010110
[7,2,8,9,10,3,4,5,1,6] => 100010010 => 010010001 => 101101110
[7,2,8,9,10,3,4,1,5,6] => 100010100 => 001010001 => 110101110
[7,2,8,9,10,3,1,4,5,6] => 100011000 => 000110001 => 111001110
[7,8,2,3,9,4,10,5,1,6] => 010010110 => 011010010 => 100101101
[7,8,2,3,9,4,10,1,5,6] => 010010100 => 001010010 => 110101101
[7,8,2,3,9,10,4,5,1,6] => 010001010 => 010100010 => 101011101
[7,8,2,3,9,10,4,1,5,6] => 010001100 => 001100010 => 110011101
[7,8,2,3,9,10,1,4,5,6] => 010001000 => 000100010 => 111011101
[7,8,2,9,3,4,10,5,1,6] => 010100110 => 011001010 => 100110101
[7,8,2,9,3,4,10,1,5,6] => 010100100 => 001001010 => 110110101
[7,8,2,9,3,10,4,5,1,6] => 010101010 => 010101010 => 101010101
[7,8,2,9,3,10,4,1,5,6] => 010101100 => 001101010 => 110010101
[7,8,2,9,3,10,1,4,5,6] => 010101000 => 000101010 => 111010101
[7,8,2,9,10,3,4,5,1,6] => 010010010 => 010010010 => 101101101
[7,8,2,9,10,3,4,1,5,6] => 010010100 => 001010010 => 110101101
[7,8,2,9,10,3,1,4,5,6] => 010011000 => 000110010 => 111001101
[7,8,2,9,10,1,3,4,5,6] => 010010000 => 000010010 => 111101101
[7,8,9,2,3,4,10,5,1,6] => 001000110 => 011000100 => 100111011
[7,8,9,2,3,4,10,1,5,6] => 001000100 => 001000100 => 110111011
[7,8,9,2,3,10,4,5,1,6] => 001001010 => 010100100 => 101011011
[7,8,9,2,3,10,4,1,5,6] => 001001100 => 001100100 => 110011011
[7,8,9,2,3,10,1,4,5,6] => 001001000 => 000100100 => 111011011
[7,8,9,2,10,3,4,5,1,6] => 001010010 => 010010100 => 101101011
[7,8,9,2,10,3,4,1,5,6] => 001010100 => 001010100 => 110101011
[7,8,9,2,10,3,1,4,5,6] => 001011000 => 000110100 => 111001011
[7,8,9,2,10,1,3,4,5,6] => 001010000 => 000010100 => 111101011
[7,8,9,10,2,3,4,1,5,6] => 000100100 => 001001000 => 110110111
[7,8,9,10,2,3,1,4,5,6] => 000101000 => 000101000 => 111010111
[7,8,9,10,2,1,3,4,5,6] => 000110000 => 000011000 => 111100111
[8,2,9,3,10,4,11,5,12,6,1,7] => 10101010110 => 01101010101 => 10010101010
[8,2,9,3,10,4,11,5,12,1,6,7] => 10101010100 => 00101010101 => 11010101010
[8,2,9,3,10,4,11,12,1,5,6,7] => 10101001000 => 00010010101 => 11101101010
[8,2,9,3,10,11,4,12,1,5,6,7] => 10100101000 => 00010100101 => 11101011010
[8,2,9,3,10,11,12,4,5,1,6,7] => 10100010100 => 00101000101 => 11010111010
[8,2,9,3,10,11,12,1,4,5,6,7] => 10100010000 => 00001000101 => 11110111010
[8,2,9,10,3,4,11,12,1,5,6,7] => 10010001000 => 00010001001 => 11101110110
[8,2,9,10,3,11,4,12,1,5,6,7] => 10010101000 => 00010101001 => 11101010110
[8,2,9,10,3,11,12,1,4,5,6,7] => 10010010000 => 00001001001 => 11110110110
[8,2,9,10,11,3,4,5,12,1,6,7] => 10001000100 => 00100010001 => 11011101110
[8,2,9,10,11,3,4,12,5,6,1,7] => 10001001010 => 01010010001 => 10101101110
[8,2,9,10,11,3,4,12,1,5,6,7] => 10001001000 => 00010010001 => 11101101110
[8,2,9,10,11,3,12,4,5,6,1,7] => 10001010010 => 01001010001 => 10110101110
[8,2,9,10,11,3,12,4,5,1,6,7] => 10001010100 => 00101010001 => 11010101110
[8,2,9,10,11,3,12,1,4,5,6,7] => 10001010000 => 00001010001 => 11110101110
[8,2,9,10,11,12,3,4,5,6,1,7] => 10000100010 => 01000100001 => 10111011110
[8,2,9,10,11,12,3,4,5,1,6,7] => 10000100100 => 00100100001 => 11011011110
[8,2,9,10,11,12,3,4,1,5,6,7] => 10000101000 => 00010100001 => 11101011110
[8,2,9,10,11,12,1,3,4,5,6,7] => 10000100000 => 00000100001 => 11111011110
[8,9,2,3,10,4,11,12,1,5,6,7] => 01001001000 => 00010010010 => 11101101101
[8,9,2,3,10,11,4,12,5,6,1,7] => 01000101010 => 01010100010 => 10101011101
[8,9,2,3,10,11,4,12,1,5,6,7] => 01000101000 => 00010100010 => 11101011101
[8,9,2,3,10,11,12,1,4,5,6,7] => 01000010000 => 00001000010 => 11110111101
[8,9,2,10,3,4,11,12,5,6,1,7] => 01010001010 => 01010001010 => 10101110101
[8,9,2,10,3,4,11,12,1,5,6,7] => 01010001000 => 00010001010 => 11101110101
[8,9,2,10,3,11,4,12,5,6,1,7] => 01010101010 => 01010101010 => 10101010101
[8,9,2,10,3,11,4,12,1,5,6,7] => 01010101000 => 00010101010 => 11101010101
[8,9,2,10,3,11,12,1,4,5,6,7] => 01010010000 => 00001001010 => 11110110101
[8,9,2,10,11,3,4,12,1,5,6,7] => 01001001000 => 00010010010 => 11101101101
[8,9,2,10,11,3,12,1,4,5,6,7] => 01001010000 => 00001010010 => 11110101101
[8,9,2,10,11,12,3,4,5,6,1,7] => 01000100010 => 01000100010 => 10111011101
[8,9,2,10,11,12,3,4,1,5,6,7] => 01000101000 => 00010100010 => 11101011101
[8,9,2,10,11,12,3,1,4,5,6,7] => 01000110000 => 00001100010 => 11110011101
[8,9,2,10,11,12,1,3,4,5,6,7] => 01000100000 => 00000100010 => 11111011101
[8,9,10,2,3,4,11,12,1,5,6,7] => 00100001000 => 00010000100 => 11101111011
[8,9,10,2,3,11,4,12,1,5,6,7] => 00100101000 => 00010100100 => 11101011011
[8,9,10,2,3,11,12,4,1,5,6,7] => 00100011000 => 00011000100 => 11100111011
[8,9,10,2,3,11,12,1,4,5,6,7] => 00100010000 => 00001000100 => 11110111011
[8,9,10,2,11,3,4,12,1,5,6,7] => 00101001000 => 00010010100 => 11101101011
[8,9,10,2,11,3,12,4,5,1,6,7] => 00101010100 => 00101010100 => 11010101011
[8,9,10,2,11,3,12,1,4,5,6,7] => 00101010000 => 00001010100 => 11110101011
[8,9,10,2,11,12,3,4,1,5,6,7] => 00100101000 => 00010100100 => 11101011011
[8,9,10,2,11,12,3,1,4,5,6,7] => 00100110000 => 00001100100 => 11110011011
[8,9,10,2,11,12,1,3,4,5,6,7] => 00100100000 => 00000100100 => 11111011011
[8,9,10,11,2,3,4,5,12,1,6,7] => 00010000100 => 00100001000 => 11011110111
[8,9,10,11,2,3,4,12,5,6,1,7] => 00010001010 => 01010001000 => 10101110111
[8,9,10,11,2,3,4,12,1,5,6,7] => 00010001000 => 00010001000 => 11101110111
[8,9,10,11,2,3,12,4,5,6,1,7] => 00010010010 => 01001001000 => 10110110111
[8,9,10,11,2,3,12,4,5,1,6,7] => 00010010100 => 00101001000 => 11010110111
[8,9,10,11,2,3,12,1,4,5,6,7] => 00010010000 => 00001001000 => 11110110111
[8,9,10,11,2,12,3,4,5,6,1,7] => 00010100010 => 01000101000 => 10111010111
[8,9,10,11,2,12,3,4,5,1,6,7] => 00010100100 => 00100101000 => 11011010111
[8,9,10,11,2,12,3,4,1,5,6,7] => 00010101000 => 00010101000 => 11101010111
[8,9,10,11,2,12,1,3,4,5,6,7] => 00010100000 => 00000101000 => 11111010111
[8,9,10,11,12,2,3,4,5,6,1,7] => 00001000010 => 01000010000 => 10111101111
[8,9,10,11,12,2,3,4,5,1,6,7] => 00001000100 => 00100010000 => 11011101111
[8,9,10,11,12,2,3,4,1,5,6,7] => 00001001000 => 00010010000 => 11101101111
[4,8,7,6,5,3,2,1,9] => 01111110 => 01111110 => 10000001
[5,9,8,7,6,4,3,2,1,10] => 011111110 => 011111110 => 100000001
[5,8,7,4,6,3,2,1,9] => 01101110 => 01110110 => 10001001
[8,4,7,6,5,3,2,1,9] => 10111110 => 01111101 => 10000010
[5,7,4,3,6,2,1,8] => 0110110 => 0110110 => 1001001
[6,9,8,5,7,4,1,3,2] => 01101101 => 10110110 => 01001001
[9,8,7,5,1,6,4,3,2] => 11110111 => 11101111 => 00010000
[10,9,8,6,1,7,5,4,3,2] => 111101111 => 111101111 => 000010000
[1,2,8,3,4,5,6,9,7] => 00100001 => 10000100 => 01111011
[1,9,5,2,3,8,4,6,7] => 01100100 => 00100110 => 11011001
[1,2,9,3,4,5,6,7,10,8] => 001000001 => 100000100 => 011111011
[1,8,2,9,4,3,5,6,7] => 01011000 => 00011010 => 11100101
[1,3,2,4,9,8,5,6,7] => 01001100 => 00110010 => 11001101
[2,1,3,4,5,9,8,6,7] => 10000110 => 01100001 => 10011110
[1,2,3,4,5,9,6,7,10,8] => 000001001 => 100100000 => 011011111
[9,1,7,2,3,4,5,8,6] => 10100001 => 10000101 => 01111010
[1,10,6,2,3,4,9,5,7,8] => 011000100 => 001000110 => 110111001
[1,2,10,3,4,5,6,7,8,11,9] => 0010000001 => 1000000100 => 0111111011
[1,8,5,2,3,4,6,9,7] => 01100001 => 10000110 => 01111001
[9,8,1,2,3,5,6,4,7] => 11000010 => 01000011 => 10111100
[1,5,2,9,3,10,4,6,7,8] => 010101000 => 000101010 => 111010101
[1,4,2,3,9,5,6,8,7] => 01001001 => 10010010 => 01101101
[1,8,5,6,2,3,7,4] => 0101001 => 1001010 => 0110101
[4,9,8,1,2,5,3,6,7] => 01100100 => 00100110 => 11011001
[1,2,4,3,10,9,5,6,7,8] => 001011000 => 000110100 => 111001011
[1,3,2,4,5,9,6,8,7] => 01000101 => 10100010 => 01011101
[1,8,3,9,4,2,5,6,7] => 01011000 => 00011010 => 11100101
[1,3,2,4,5,10,9,6,7,8] => 010001100 => 001100010 => 110011101
[1,2,3,4,5,10,6,7,8,11,9] => 0000010001 => 1000100000 => 0111011111
[2,3,1,4,9,8,5,6,7] => 01001100 => 00110010 => 11001101
[2,1,3,4,5,9,6,10,7,8] => 100001010 => 010100001 => 101011110
[7,2,4,6,8,1,5,3] => 1000101 => 1010001 => 0101110
[6,2,5,4,7,8,1,3] => 1010010 => 0100101 => 1011010
[3,8,2,6,1,7,4,5] => 0101010 => 0101010 => 1010101
[8,5,6,1,3,2,7,4] => 1010101 => 1010101 => 0101010
[5,3,7,8,2,6,1,4] => 1001010 => 0101001 => 1010110
[4,5,8,3,6,1,7,2] => 0010101 => 1010100 => 0101011
[4,5,8,7,2,3,1,6] => 0011010 => 0101100 => 1010011
[8,2,6,4,3,7,5,1] => 1011011 => 1101101 => 0010010
[6,3,1,8,7,4,5,2] => 1101101 => 1011011 => 0100100
[8,6,3,2,7,4,5,1] => 1110101 => 1010111 => 0101000
[1,3,6,8,7,4,5,2] => 0001101 => 1011000 => 0100111
[5,7,1,3,6,2,4,8] => 0100100 => 0010010 => 1101101
[4,7,5,2,3,6,8,1] => 0110001 => 1000110 => 0111001
[3,6,4,1,2,5,7,8] => 0110000 => 0000110 => 1111001
[4,7,1,3,2,5,8,6] => 0101001 => 1001010 => 0110101
[4,7,1,3,2,6,8,5] => 0101001 => 1001010 => 0110101
[5,7,1,3,6,2,8,4] => 0100101 => 1010010 => 0101101
[6,8,2,5,7,3,1,4] => 0100110 => 0110010 => 1001101
[4,8,5,2,3,6,1,7] => 0110010 => 0100110 => 1011001
[5,8,6,3,4,7,2,1] => 0110011 => 1100110 => 0011001
[3,7,5,4,2,8,1,6] => 0111010 => 0101110 => 1010001
[4,6,5,1,7,8,2,3] => 0110010 => 0100110 => 1011001
[4,7,1,3,2,8,5,6] => 0101010 => 0101010 => 1010101
[3,6,5,1,8,2,4,7] => 0110100 => 0010110 => 1101001
[5,8,7,3,4,2,6,1] => 0110101 => 1010110 => 0101001
[8,7,6,5,4,1,9,3,2] => 11111011 => 11011111 => 00100000
[8,7,6,5,2,9,1,3,4] => 11110100 => 00101111 => 11010000
[8,7,6,3,9,2,1,4,5] => 11101100 => 00110111 => 11001000
[8,7,4,9,3,2,1,6,5] => 11011101 => 10111011 => 01000100
[8,5,9,4,3,2,1,6,7] => 10111100 => 00111101 => 11000010
[6,9,5,4,3,2,1,7,8] => 01111100 => 00111110 => 11000001
[9,8,7,6,5,4,1,10,3,2] => 111111011 => 110111111 => 001000000
[10,9,8,7,6,5,4,2,1,3,11] => 1111111100 => 0011111111 => 1100000000
[8,7,6,5,2,1,4,3,9] => 11111010 => 01011111 => 10100000
[9,8,7,6,5,2,10,1,3,4] => 111110100 => 001011111 => 110100000
[10,9,8,7,6,5,3,2,1,4,11] => 1111111100 => 0011111111 => 1100000000
[8,7,6,3,2,5,1,4,9] => 11110100 => 00101111 => 11010000
[8,7,6,5,1,9,4,3,2] => 11110111 => 11101111 => 00010000
[9,8,7,6,3,10,2,1,4,5] => 111101100 => 001101111 => 110010000
[10,9,8,7,6,4,3,2,1,11,5] => 1111111101 => 1011111111 => 0100000000
[8,7,4,3,6,2,1,9,5] => 11101101 => 10110111 => 01001000
[8,7,6,2,9,5,1,3,4] => 11101100 => 00110111 => 11001000
[9,8,7,4,10,3,2,1,6,5] => 111011101 => 101110111 => 010001000
[10,9,8,7,5,4,3,2,1,6,11] => 1111111100 => 0011111111 => 1100000000
[8,5,4,7,3,2,1,6,9] => 11011100 => 00111011 => 11000100
[8,7,3,9,6,2,1,4,5] => 11011100 => 00111011 => 11000100
[9,8,5,10,4,3,2,1,6,7] => 110111100 => 001111011 => 110000100
[10,9,8,6,5,4,3,2,1,7,11] => 1111111100 => 0011111111 => 1100000000
[6,5,8,4,3,2,1,7,9] => 10111100 => 00111101 => 11000010
[8,4,9,7,3,2,1,6,5] => 10111101 => 10111101 => 01000010
[9,6,10,5,4,3,2,1,7,8] => 101111100 => 001111101 => 110000010
[10,9,7,6,5,4,3,2,1,11,8] => 1111111101 => 1011111111 => 0100000000
[5,9,8,4,3,2,1,6,7] => 01111100 => 00111110 => 11000001
[7,10,6,5,4,3,2,1,9,8] => 011111101 => 101111110 => 010000001
[10,8,7,6,5,4,3,2,1,9,11] => 1111111100 => 0011111111 => 1100000000
[8,5,2,3,7,4,6,1] => 1100101 => 1010011 => 0101100
[6,3,1,5,4,8,2,7] => 1101010 => 0101011 => 1010100
[4,7,6,3,5,2,8,1] => 0110101 => 1010110 => 0101001
[1,7,5,3,4,8,6,2] => 0110011 => 1100110 => 0011001
[5,8,2,3,4,7,6,1] => 0100011 => 1100010 => 0011101
[8,7,3,2,6,4,5,1] => 1110101 => 1010111 => 0101000
[8,3,1,4,7,5,2,6] => 1100110 => 0110011 => 1001100
[5,3,1,6,4,8,7,2] => 1101011 => 1101011 => 0010100
[3,4,8,5,7,2,6,1] => 0010101 => 1010100 => 0101011
[8,5,1,2,7,6,4,3] => 1100111 => 1110011 => 0001100
[10,7,8,1,2,3,4,5,6,9] => 101000000 => 000000101 => 111111010
[6,7,10,1,2,3,4,5,8,9] => 001000000 => 000000100 => 111111011
[8,2,6,3,1,5,4,7] => 1011010 => 0101101 => 1010010
[3,7,8,5,6,2,4,1] => 0010101 => 1010100 => 0101011
[1,10,2,3,4,7,5,6,8,9] => 010001000 => 000100010 => 111011101
[7,4,3,6,2,5,8,1] => 1101001 => 1001011 => 0110100
[4,3,8,7,1,6,2,5] => 1011010 => 0101101 => 1010010
[1,5,3,8,4,7,2,6] => 0101010 => 0101010 => 1010101
[8,2,3,1,6,5,7,4] => 1010101 => 1010101 => 0101010
[8,4,2,7,1,3,6,5] => 1101001 => 1001011 => 0110100
[8,4,2,3,1,6,7,5] => 1101001 => 1001011 => 0110100
[4,7,2,3,6,5,8,1] => 0100101 => 1010010 => 0101101
[3,8,2,6,4,7,1,5] => 0101010 => 0101010 => 1010101
[1,7,5,8,6,2,4,3] => 0101101 => 1011010 => 0100101
[6,5,1,7,4,8,3,2] => 1101011 => 1101011 => 0010100
[10,9,8,6,7,5,4,3,2,1] => 111011111 => 111110111 => 000001000
[7,6,3,5,1,4,8,2] => 1101001 => 1001011 => 0110100
[6,5,4,1,7,2,3,8] => 1110100 => 0010111 => 1101000
[8,3,6,1,7,4,5,2] => 1010101 => 1010101 => 0101010
[7,1,2,6,4,8,3,5] => 1001010 => 0101001 => 1010110
[3,5,1,8,6,2,4,7] => 0101100 => 0011010 => 1100101
[8,7,5,6,4,3,2,1,9] => 11011110 => 01111011 => 10000100
[8,6,5,7,4,3,2,1,9] => 11011110 => 01111011 => 10000100
[9,8,7,6,4,3,2,5,1] => 11111101 => 10111111 => 01000000
[9,8,7,6,4,3,5,2,1] => 11111011 => 11011111 => 00100000
[8,5,6,7,4,3,2,1,9] => 10011110 => 01111001 => 10000110
[10,9,7,6,8,5,4,3,2,1] => 111011111 => 111110111 => 000001000
[6,7,5,8,4,3,2,1,9] => 01011110 => 01111010 => 10000101
[10,8,7,6,9,5,4,3,2,1] => 111011111 => 111110111 => 000001000
[8,9,7,6,4,3,2,1,5] => 01111110 => 01111110 => 10000001
[7,6,5,3,2,1,4,8,9] => 11111000 => 00011111 => 11100000
[9,8,7,6,4,3,5,1,2] => 11111010 => 01011111 => 10100000
[9,8,7,6,4,3,2,5,1,10] => 111111010 => 010111111 => 101000000
[9,8,7,6,4,5,2,3,1] => 11110101 => 10101111 => 01010000
[9,8,7,6,4,3,5,2,1,10] => 111110110 => 011011111 => 100100000
[9,8,7,6,5,3,4,2,1] => 11111011 => 11011111 => 00100000
[1,8,7,5,4,6,2,3] => 0111010 => 0101110 => 1010001
[8,1,6,7,4,5,3,2] => 1001011 => 1101001 => 0010110
[8,1,6,4,7,5,3,2] => 1010111 => 1110101 => 0001010
[6,4,8,1,5,3,7,2] => 1010101 => 1010101 => 0101010
[1,6,4,3,5,8,2,7] => 0110010 => 0100110 => 1011001
[5,1,4,3,7,8,6,2] => 1010011 => 1100101 => 0011010
[5,7,1,8,6,3,2,4] => 0101110 => 0111010 => 1000101
[5,7,6,3,4,2,1,8] => 0110110 => 0110110 => 1001001
[4,1,3,7,6,5,2,8] => 1001110 => 0111001 => 1000110
[8,7,6,5,4,2,3,1,9] => 11111010 => 01011111 => 10100000
[4,3,6,1,2,7,8,5] => 1010001 => 1000101 => 0111010
[1,10,9,8,6,5,7,4,3,2] => 011110111 => 111011110 => 000100001
[2,9,8,6,5,7,4,3,1] => 01110111 => 11101110 => 00010001
[3,1,4,5,6,7,9,2,10,8] => 100000101 => 101000001 => 010111110
[5,8,3,6,7,2,4,1] => 0100101 => 1010010 => 0101101
[8,1,6,2,5,7,4,3] => 1010011 => 1100101 => 0011010
[2,7,1,5,3,6,8,4] => 0101001 => 1001010 => 0110101
[6,8,7,3,4,2,5,1] => 0110101 => 1010110 => 0101001
[1,8,6,2,4,7,5,3] => 0110011 => 1100110 => 0011001
[5,7,3,6,4,2,1,8] => 0101110 => 0111010 => 1000101
[5,7,3,6,4,1,8,2] => 0101101 => 1011010 => 0100101
[3,7,5,6,4,1,8,2] => 0101101 => 1011010 => 0100101
[7,1,8,2,3,4,5,9,6] => 10100001 => 10000101 => 01111010
[6,8,1,2,3,4,5,9,7] => 01000001 => 10000010 => 01111101
[9,6,7,4,5,2,3,1,8] => 10101010 => 01010101 => 10101010
[8,9,6,7,4,5,2,1,3] => 01010110 => 01101010 => 10010101
[10,8,9,6,7,4,5,2,1,3] => 101010110 => 011010101 => 100101010
[9,8,6,5,4,3,7,2,1] => 11111011 => 11011111 => 00100000
[2,8,5,7,3,4,6,1] => 0101001 => 1001010 => 0110101
[2,3,6,4,5,1,7,8,9] => 00101000 => 00010100 => 11101011
[2,3,4,8,5,6,7,1,9] => 00010010 => 01001000 => 10110111
[3,5,4,7,2,6,1,8,9] => 01010100 => 00101010 => 11010101
[2,6,4,1,5,3,7,8,9] => 01101000 => 00010110 => 11101001
[4,5,2,6,3,1,7,8,9] => 01011000 => 00011010 => 11100101
[3,6,4,5,9,2,7,8,1] => 01001001 => 10010010 => 01101101
[2,5,4,7,8,6,3,1,9] => 01001110 => 01110010 => 10001101
[4,6,2,5,8,3,7,1,9] => 01001010 => 01010010 => 10101101
[3,5,7,6,1,4,2,8,9] => 00110100 => 00101100 => 11010011
[5,6,2,3,7,4,1,8,9] => 01001100 => 00110010 => 11001101
[5,7,2,3,6,9,4,8,1] => 01000101 => 10100010 => 01011101
[2,8,4,1,6,3,7,5,9] => 01101010 => 01010110 => 10101001
[4,6,7,8,3,1,5,2,9] => 00011010 => 01011000 => 10100111
[6,7,2,3,4,8,5,1,9] => 01000110 => 01100010 => 10011101
[3,5,9,7,1,8,2,6,4] => 00110101 => 10101100 => 01010011
[5,7,8,3,9,4,1,6,2] => 00101101 => 10110100 => 01001011
[7,8,2,3,4,5,9,6,1] => 01000011 => 11000010 => 00111101
[2,4,3,1,5,6,7,8,9,10] => 011000000 => 000000110 => 111111001
[2,3,6,4,5,1,7,8,9,10] => 001010000 => 000010100 => 111101011
[3,4,5,2,1,6,7,8,9,10] => 001100000 => 000001100 => 111110011
[2,3,4,8,5,6,7,1,9,10] => 000100100 => 001001000 => 110110111
[3,5,4,7,2,6,1,8,9,10] => 010101000 => 000101010 => 111010101
[2,6,4,1,5,3,7,8,9,10] => 011010000 => 000010110 => 111101001
[4,5,2,6,3,1,7,8,9,10] => 010110000 => 000011010 => 111100101
[3,6,4,5,9,2,7,8,1,10] => 010010010 => 010010010 => 101101101
[2,5,4,7,8,6,3,1,9,10] => 010011100 => 001110010 => 110001101
[4,6,2,5,8,3,7,1,9,10] => 010010100 => 001010010 => 110101101
[3,5,7,6,1,4,2,8,9,10] => 001101000 => 000101100 => 111010011
[5,6,2,3,7,4,1,8,9,10] => 010011000 => 000110010 => 111001101
[2,5,4,8,6,10,7,3,9,1] => 010101101 => 101101010 => 010010101
[4,7,2,5,6,10,3,8,9,1] => 010001001 => 100100010 => 011011101
[2,3,9,5,6,1,7,8,4,10] => 001010010 => 010010100 => 101101011
[5,7,2,3,6,9,4,8,1,10] => 010001010 => 010100010 => 101011101
[2,8,4,1,6,3,7,5,9,10] => 011010100 => 001010110 => 110101001
[4,6,7,8,3,1,5,2,9,10] => 000110100 => 001011000 => 110100111
[6,7,2,3,4,8,5,1,9,10] => 010001100 => 001100010 => 110011101
[3,6,4,10,8,7,1,5,9,2] => 010111001 => 100111010 => 011000101
[2,7,4,9,6,3,10,8,5,1] => 010110111 => 111011010 => 000100101
[4,6,8,7,3,9,10,5,2,1] => 001100111 => 111001100 => 000110011
[6,8,2,3,4,7,10,5,9,1] => 010000101 => 101000010 => 010111101
[3,5,9,7,1,8,2,6,4,10] => 001101010 => 010101100 => 101010011
[5,7,8,3,9,4,1,6,2,10] => 001011010 => 010110100 => 101001011
[7,8,2,3,4,5,9,6,1,10] => 010000110 => 011000010 => 100111101
[4,6,8,10,9,1,5,2,7,3] => 000110101 => 101011000 => 010100111
[6,8,9,3,4,10,5,1,7,2] => 001001101 => 101100100 => 010011011
[8,9,2,3,4,5,6,10,7,1] => 010000011 => 110000010 => 001111101
[2,1,3,8,5,4,6,7] => 1001100 => 0011001 => 1100110
[5,3,6,8,2,4,1,7] => 1001010 => 0101001 => 1010110
[1,7,8,6,3,2,4,5] => 0011100 => 0011100 => 1100011
[7,1,2,5,3,8,4,6] => 1001010 => 0101001 => 1010110
[3,7,4,2,5,1,8,6] => 0110101 => 1010110 => 0101001
[1,8,3,4,5,7,2,6] => 0100010 => 0100010 => 1011101
[2,6,7,5,3,8,1,4] => 0011010 => 0101100 => 1010011
[4,5,2,6,8,7,1,3] => 0100110 => 0110010 => 1001101
[4,5,2,6,8,3,1,7] => 0100110 => 0110010 => 1001101
[4,5,7,6,2,1,3,8] => 0011100 => 0011100 => 1100011
[7,8,2,6,5,4,3,1] => 0101111 => 1111010 => 0000101
[5,3,7,8,4,2,1,6] => 1001110 => 0111001 => 1000110
[7,3,6,8,1,5,4,2] => 1001011 => 1101001 => 0010110
[9,7,8,5,6,2,4,1,3] => 10101010 => 01010101 => 10101010
[9,7,8,4,6,2,5,1,3] => 10101010 => 01010101 => 10101010
[9,6,8,4,7,2,5,1,3] => 10101010 => 01010101 => 10101010
[8,9,6,4,7,2,5,1,3] => 01101010 => 01010110 => 10101001
[8,9,6,7,4,2,5,1,3] => 01011010 => 01011010 => 10100101
[9,7,8,3,6,2,5,1,4] => 10101010 => 01010101 => 10101010
[9,5,8,4,7,2,6,1,3] => 10101010 => 01010101 => 10101010
[7,6,9,4,8,2,5,1,3] => 10101010 => 01010101 => 10101010
[8,6,9,7,4,2,5,1,3] => 10111010 => 01011101 => 10100010
[10,8,9,6,4,7,2,5,1,3] => 101101010 => 010101101 => 101010010
[8,9,6,4,7,5,2,1,3] => 01101110 => 01110110 => 10001001
[10,8,9,6,7,4,2,5,1,3] => 101011010 => 010110101 => 101001010
[8,9,6,7,4,2,5,3,1] => 01011011 => 11011010 => 00100101
[7,5,8,2,4,3,6,1] => 1010101 => 1010101 => 0101010
[6,5,8,2,3,4,1,7] => 1010010 => 0100101 => 1011010
[8,1,5,3,4,6,2,7] => 1010010 => 0100101 => 1011010
[5,8,7,2,4,3,6,1] => 0110101 => 1010110 => 0101001
[1,7,2,4,8,5,6,3] => 0100101 => 1010010 => 0101101
[5,8,2,3,7,4,6,1] => 0100101 => 1010010 => 0101101
[7,8,2,3,5,4,6,1] => 0100101 => 1010010 => 0101101
[8,4,1,3,2,6,5,7] => 1101010 => 0101011 => 1010100
[8,7,2,3,5,4,6,1] => 1100101 => 1010011 => 0101100
[1,7,6,8,4,5,3,2] => 0101011 => 1101010 => 0010101
[2,7,3,1,8,5,6,4] => 0110101 => 1010110 => 0101001
[3,8,5,2,1,6,7,4] => 0111001 => 1001110 => 0110001
[10,1,2,9,6,3,4,5,7,8] => 100110000 => 000011001 => 111100110
[4,1,2,10,3,5,9,6,7,8] => 100100100 => 001001001 => 110110110
[2,8,6,1,5,7,4,3] => 0110011 => 1100110 => 0011001
[8,3,5,1,7,6,4,2] => 1010111 => 1110101 => 0001010
[8,3,5,4,7,1,6,2] => 1010101 => 1010101 => 0101010
[6,4,1,5,7,8,2,3] => 1100010 => 0100011 => 1011100
[4,8,7,1,2,5,3,6] => 0110010 => 0100110 => 1011001
[8,7,2,6,1,4,3,5] => 1101010 => 0101011 => 1010100
[6,1,7,3,8,2,4,5] => 1010100 => 0010101 => 1101010
[7,1,8,6,4,2,3,5] => 1011100 => 0011101 => 1100010
[4,1,3,5,8,2,6,7] => 1000100 => 0010001 => 1101110
[1,8,5,7,4,6,3,2] => 0101011 => 1101010 => 0010101
[1,4,7,6,8,3,5,2] => 0010101 => 1010100 => 0101011
[1,7,2,8,6,5,3,4] => 0101110 => 0111010 => 1000101
[5,7,1,6,4,2,3,8] => 0101100 => 0011010 => 1100101
[4,8,2,7,5,1,6,3] => 0101101 => 1011010 => 0100101
[2,8,4,6,7,1,5,3] => 0100101 => 1010010 => 0101101
[3,8,5,1,4,2,6,7] => 0110100 => 0010110 => 1101001
[1,7,6,2,5,3,8,4] => 0110101 => 1010110 => 0101001
[1,7,5,2,4,3,8,6] => 0110101 => 1010110 => 0101001
[2,8,5,1,4,3,6,7] => 0110100 => 0010110 => 1101001
[9,7,6,5,4,3,2,8,1] => 11111101 => 10111111 => 01000000
[3,1,4,6,2,5,8,7,9] => 10010010 => 01001001 => 10110110
[1,3,2,5,7,4,6,9,8] => 01001001 => 10010010 => 01101101
[7,6,3,5,4,8,2,1] => 1101011 => 1101011 => 0010100
[1,9,8,5,6,7,4,3,2] => 01100111 => 11100110 => 00011001
[1,10,9,8,5,6,7,4,3,2] => 011100111 => 111001110 => 000110001
[1,9,8,5,4,6,7,3,2] => 01110011 => 11001110 => 00110001
[1,10,9,5,6,7,8,4,3,2] => 011000111 => 111000110 => 000111001
[1,9,5,4,6,7,8,3,2] => 01100011 => 11000110 => 00111001
[1,10,4,5,6,7,8,9,3,2] => 010000011 => 110000010 => 001111101
[3,1,2,5,7,6,8,4] => 1000101 => 1010001 => 0101110
[5,1,7,3,2,6,8,4] => 1011001 => 1001101 => 0110010
[4,7,2,3,5,1,6,8] => 0100100 => 0010010 => 1101101
[4,8,2,3,7,5,1,6] => 0100110 => 0110010 => 1001101
[8,7,2,4,3,5,6,1] => 1101001 => 1001011 => 0110100
[8,6,2,4,3,5,1,7] => 1101010 => 0101011 => 1010100
[8,1,2,4,7,3,5,6] => 1000100 => 0010001 => 1101110
[7,6,2,8,4,5,1,3] => 1101010 => 0101011 => 1010100
[6,8,1,5,7,3,2,4] => 0100110 => 0110010 => 1001101
[4,1,7,5,6,8,2,3] => 1010010 => 0100101 => 1011010
[3,7,6,2,1,4,5,8] => 0111000 => 0001110 => 1110001
[1,6,8,7,2,5,4,3] => 0011011 => 1101100 => 0010011
[1,4,8,7,6,3,5,2] => 0011101 => 1011100 => 0100011
[1,2,3,4,7,5,6,9,8] => 00001001 => 10010000 => 01101111
[3,1,8,4,5,2,7,6] => 1010101 => 1010101 => 0101010
[2,3,7,6,1,8,4,5] => 0011010 => 0101100 => 1010011
[4,8,5,2,1,3,7,6] => 0111001 => 1001110 => 0110001
[5,8,4,2,1,3,7,6] => 0111001 => 1001110 => 0110001
[9,8,7,6,5,3,1,4,2] => 11111101 => 10111111 => 01000000
[9,8,7,6,4,1,5,3,2] => 11111011 => 11011111 => 00100000
[9,8,6,1,7,5,4,3,2] => 11101111 => 11110111 => 00001000
[9,7,1,8,6,5,4,3,2] => 11011111 => 11111011 => 00000100
[4,6,7,5,2,3,1,8] => 0011010 => 0101100 => 1010011
[6,2,5,3,1,8,7,4] => 1011011 => 1101101 => 0010010
[6,2,5,3,8,7,1,4] => 1010110 => 0110101 => 1001010
[6,4,5,3,8,7,1,2] => 1010110 => 0110101 => 1001010
[1,6,4,5,8,7,3,2] => 0100111 => 1110010 => 0001101
[8,4,7,5,2,3,1,6] => 1011010 => 0101101 => 1010010
[8,2,7,4,5,3,1,6] => 1010110 => 0110101 => 1001010
[8,2,4,7,5,3,1,6] => 1001110 => 0111001 => 1000110
[8,2,6,7,5,3,1,4] => 1001110 => 0111001 => 1000110
[8,4,6,7,5,3,1,2] => 1001110 => 0111001 => 1000110
[6,4,5,8,7,3,1,2] => 1001110 => 0111001 => 1000110
[6,2,8,7,5,3,1,4] => 1011110 => 0111101 => 1000010
[4,6,5,3,8,7,1,2] => 0110110 => 0110110 => 1001001
[6,7,2,4,5,3,1,8] => 0100110 => 0110010 => 1001101
[6,8,7,4,5,3,1,2] => 0110110 => 0110110 => 1001001
[2,8,4,7,5,3,1,6] => 0101110 => 0111010 => 1000101
[5,8,7,4,6,3,1,2] => 0110110 => 0110110 => 1001001
[6,5,8,4,7,2,1,3] => 1010110 => 0110101 => 1001010
[4,8,6,2,5,7,1,3] => 0110010 => 0100110 => 1011001
[8,1,6,2,5,7,3,4] => 1010010 => 0100101 => 1011010
[6,8,1,2,4,7,3,5] => 0100010 => 0100010 => 1011101
[8,1,5,3,2,7,4,6] => 1011010 => 0101101 => 1010010
[8,3,7,6,2,5,4,1] => 1011011 => 1101101 => 0010010
[1,2,7,4,5,6,8,9,3] => 00100001 => 10000100 => 01111011
[5,3,1,2,6,7,8,9,10,4] => 110000001 => 100000011 => 011111100
[7,3,4,5,1,2,8,9,10,6] => 100100001 => 100001001 => 011110110
[8,3,4,5,6,1,2,9,10,7] => 100010001 => 100010001 => 011101110
[1,2,3,4,7,8,5,6,9] => 00000100 => 00100000 => 11011111
[1,2,3,4,6,5,8,7,9] => 00001010 => 01010000 => 10101111
[1,2,3,4,8,9,5,6,7] => 00000100 => 00100000 => 11011111
[4,6,1,3,5,8,2,7] => 0100010 => 0100010 => 1011101
[4,5,1,3,8,7,2,6] => 0100110 => 0110010 => 1001101
[6,2,7,1,8,3,4,5] => 1010100 => 0010101 => 1101010
[6,4,5,8,1,7,2,3] => 1001010 => 0101001 => 1010110
[6,2,8,5,1,4,7,3] => 1011001 => 1001101 => 0110010
[2,4,7,6,1,8,3,5] => 0011010 => 0101100 => 1010011
[2,1,7,8,9,3,4,5,6] => 10001000 => 00010001 => 11101110
[2,6,7,8,9,10,1,3,4,5] => 000001000 => 000100000 => 111011111
[9,7,5,3,8,6,4,2,1] => 11101111 => 11110111 => 00001000
[10,8,9,7,6,5,4,3,2,1] => 101111111 => 111111101 => 000000010
[7,4,5,8,6,3,2,1] => 1001111 => 1111001 => 0000110
[8,6,9,7,4,3,2,1,5] => 10111110 => 01111101 => 10000010
[8,6,3,2,1,4,9,7,5] => 11110011 => 11001111 => 00110000
[8,6,4,9,7,5,2,1,3] => 11011110 => 01111011 => 10000100
[10,8,6,4,9,7,5,3,2,1] => 111011111 => 111110111 => 000001000
[9,7,5,3,8,6,4,1,2] => 11101110 => 01110111 => 10001000
[10,8,6,4,2,1,9,7,5,3] => 111110111 => 111011111 => 000100000
[11,9,10,8,7,6,5,4,3,2,1] => 1011111111 => 1111111101 => 0000000010
[9,6,7,8,5,4,3,2,1] => 10011111 => 11111001 => 00000110
[10,8,9,6,5,4,3,2,1,7] => 101111110 => 011111101 => 100000010
[10,8,11,9,7,6,5,4,3,2,1] => 1011111111 => 1111111101 => 0000000010
[8,5,6,9,7,4,3,2,1] => 10011111 => 11111001 => 00000110
[9,7,10,8,5,4,3,2,1,6] => 101111110 => 011111101 => 100000010
[10,8,6,5,4,3,2,1,11,9,7] => 1111111011 => 1101111111 => 0010000000
[8,6,3,2,1,9,7,4,5] => 11110110 => 01101111 => 10010000
[9,7,8,4,3,2,1,5,6] => 10111100 => 00111101 => 11000010
[9,7,4,3,2,1,5,10,8,6] => 111110011 => 110011111 => 001100000
[10,8,6,11,9,7,5,4,3,2,1] => 1101111111 => 1111111011 => 0000000100
[8,6,3,4,9,7,5,2,1] => 11001111 => 11110011 => 00001100
[8,6,9,7,3,2,1,4,5] => 10111100 => 00111101 => 11000010
[9,7,5,10,8,6,3,2,1,4] => 110111110 => 011111011 => 100000100
[11,9,7,5,10,8,6,4,3,2,1] => 1110111111 => 1111110111 => 0000001000
[9,7,5,2,3,8,6,4,1] => 11100111 => 11100111 => 00011000
[8,6,2,1,3,4,9,7,5] => 11100011 => 11000111 => 00111000
[10,8,6,4,9,7,5,2,1,3] => 111011110 => 011110111 => 100001000
[11,9,7,5,3,2,1,10,8,6,4] => 1111110111 => 1110111111 => 0001000000
[8,6,4,9,7,5,1,2,3] => 11011100 => 00111011 => 11000100
[10,8,6,4,1,2,9,7,5,3] => 111100111 => 111001111 => 000110000
[11,9,7,5,3,10,8,6,4,2,1] => 1111011111 => 1111101111 => 0000010000
[10,8,6,4,2,11,9,7,5,3,1] => 1111011111 => 1111101111 => 0000010000
[2,5,1,6,3,7,4,8,9] => 01010100 => 00101010 => 11010101
[2,6,1,7,3,8,4,9,5] => 01010101 => 10101010 => 01010101
[3,4,6,1,7,2,8,5,9] => 00101010 => 01010100 => 10101011
[3,2,6,1,7,4,8,5,9] => 10101010 => 01010101 => 10101010
[4,2,5,6,1,7,3,8,9] => 10010100 => 00101001 => 11010110
[3,4,2,6,1,7,5,8,9] => 01010100 => 00101010 => 11010101
[4,2,5,7,1,8,3,9,6] => 10010101 => 10101001 => 01010110
[3,4,2,7,1,8,5,9,6] => 01010101 => 10101010 => 01010101
[5,3,6,4,7,1,8,2,9] => 10101010 => 01010101 => 10101010
[3,5,2,6,7,1,8,4,9] => 01001010 => 01010010 => 10101101
[4,3,5,2,7,1,8,6,9] => 10101010 => 01010101 => 10101010
[4,6,2,7,5,8,1,9,3] => 01010101 => 10101010 => 01010101
[4,3,6,2,7,8,1,9,5] => 10100101 => 10100101 => 01011010
[4,5,3,6,2,8,1,9,7] => 01010101 => 10101010 => 01010101
[2,5,1,6,3,7,4,8,9,10] => 010101000 => 000101010 => 111010101
[3,4,5,1,6,2,7,8,9,10] => 001010000 => 000010100 => 111101011
[2,6,1,7,3,8,4,9,5,10] => 010101010 => 010101010 => 101010101
[3,4,6,1,7,2,8,5,9,10] => 001010100 => 001010100 => 110101011
[3,2,6,1,7,4,8,5,9,10] => 101010100 => 001010101 => 110101010
[4,2,5,6,1,7,3,8,9,10] => 100101000 => 000101001 => 111010110
[3,4,2,6,1,7,5,8,9,10] => 010101000 => 000101010 => 111010101
[3,2,7,1,8,4,9,5,10,6] => 101010101 => 101010101 => 010101010
[4,5,6,7,1,8,2,9,3,10] => 000101010 => 010101000 => 101010111
[3,4,2,7,1,8,5,9,6,10] => 010101010 => 010101010 => 101010101
[5,3,6,4,7,1,8,2,9,10] => 101010100 => 001010101 => 110101010
[3,5,2,6,7,1,8,4,9,10] => 010010100 => 001010010 => 110101101
[4,3,5,2,7,1,8,6,9,10] => 101010100 => 001010101 => 110101010
[5,2,6,7,8,1,9,3,10,4] => 100010101 => 101010001 => 010101110
[5,3,6,4,8,1,9,2,10,7] => 101010101 => 101010101 => 010101010
[3,5,2,6,8,1,9,4,10,7] => 010010101 => 101010010 => 010101101
[4,3,5,2,8,1,9,6,10,7] => 101010101 => 101010101 => 010101010
[4,6,2,7,5,8,1,9,3,10] => 010101010 => 010101010 => 101010101
[4,3,6,2,7,8,1,9,5,10] => 101001010 => 010100101 => 101011010
[4,5,3,6,2,8,1,9,7,10] => 010101010 => 010101010 => 101010101
[5,3,7,2,8,6,9,1,10,4] => 101010101 => 101010101 => 010101010
[4,5,3,7,2,8,9,1,10,6] => 010100101 => 101001010 => 010110101
[5,4,6,3,7,2,9,1,10,8] => 101010101 => 101010101 => 010101010
[7,6,5,9,4,3,2,1,8] => 11011110 => 01111011 => 10000100
[7,6,5,4,3,9,2,1,8] => 11110110 => 01101111 => 10010000
[7,9,8,5,4,3,2,1,6] => 01111110 => 01111110 => 10000001
[8,7,10,6,5,4,3,2,1,9] => 101111110 => 011111101 => 100000010
[7,6,9,8,4,3,2,1,5] => 10111110 => 01111101 => 10000010
[8,7,6,10,5,4,3,2,1,9] => 110111110 => 011111011 => 100000100
[7,6,5,9,8,3,2,1,4] => 11011110 => 01111011 => 10000100
[7,6,5,4,9,8,2,1,3] => 11101110 => 01110111 => 10001000
[8,7,6,5,4,10,3,2,1,9] => 111101110 => 011101111 => 100010000
[7,6,5,4,3,9,8,1,2] => 11110110 => 01101111 => 10010000
[8,7,6,5,4,3,10,2,1,9] => 111110110 => 011011111 => 100100000
[9,8,7,6,5,2,3,4,1] => 11111001 => 10011111 => 01100000
[6,1,7,8,9,2,3,4,5] => 10001000 => 00010001 => 11101110
[5,6,7,8,9,11,1,2,3,4,10] => 0000010000 => 0000100000 => 1111011111
[4,5,6,7,1,9,2,3,8] => 00010100 => 00101000 => 11010111
[3,5,6,7,9,1,2,4,8] => 00001000 => 00010000 => 11101111
[5,1,6,7,8,2,9,3,4] => 10001010 => 01010001 => 10101110
[4,1,6,7,8,9,2,3,5] => 10000100 => 00100001 => 11011110
[5,1,6,7,8,9,10,2,3,4] => 100000100 => 001000001 => 110111110
[6,1,7,8,9,10,11,2,3,4,5] => 1000001000 => 0001000001 => 1110111110
[7,4,1,3,6,8,2,5] => 1100010 => 0100011 => 1011100
[6,8,1,2,7,3,4,5] => 0100100 => 0010010 => 1101101
[1,6,2,8,7,3,4,5] => 0101100 => 0011010 => 1100101
[1,6,8,5,7,4,3,2] => 0010111 => 1110100 => 0001011
[3,8,1,2,4,7,6,5] => 0100011 => 1100010 => 0011101
[1,4,5,7,3,6,8,2] => 0001001 => 1001000 => 0110111
[2,3,8,1,4,6,5,7] => 0010010 => 0100100 => 1011011
[3,6,2,4,7,5,8,1] => 0100101 => 1010010 => 0101101
[3,1,8,4,6,2,5,7] => 1010100 => 0010101 => 1101010
[4,2,7,3,5,8,1,6] => 1010010 => 0100101 => 1011010
[3,1,8,4,5,6,2,7] => 1010010 => 0100101 => 1011010
[4,2,7,8,6,3,1,5] => 1001110 => 0111001 => 1000110
[7,1,4,2,8,6,3,5] => 1010110 => 0110101 => 1001010
[2,3,7,4,8,1,6,5] => 0010101 => 1010100 => 0101011
[1,6,3,5,8,7,4,2] => 0100111 => 1110010 => 0001101
[8,4,6,3,5,1,7,2] => 1010101 => 1010101 => 0101010
[7,3,2,6,8,4,5,1] => 1100101 => 1010011 => 0101100
[2,4,5,7,1,6,8,3] => 0001001 => 1001000 => 0110111
[8,4,2,6,7,3,5,1] => 1100101 => 1010011 => 0101100
[4,1,5,7,8,6,2,3] => 1000110 => 0110001 => 1001110
[6,1,4,8,2,3,7,5] => 1001001 => 1001001 => 0110110
[7,6,2,3,5,8,4,1] => 1100011 => 1100011 => 0011100
[2,8,5,7,6,3,4,1] => 0101101 => 1011010 => 0100101
[2,5,7,8,6,4,1,3] => 0001110 => 0111000 => 1000111
[7,4,1,6,2,5,8,3] => 1101001 => 1001011 => 0110100
[8,7,4,6,2,5,3,1] => 1101011 => 1101011 => 0010100
[1,7,5,4,6,2,3,8] => 0110100 => 0010110 => 1101001
[6,2,7,5,3,1,4,8] => 1011100 => 0011101 => 1100010
[6,1,7,4,8,5,2,3] => 1010110 => 0110101 => 1001010
[8,2,4,6,3,1,7,5] => 1001101 => 1011001 => 0100110
[5,6,2,4,8,7,3,1] => 0100111 => 1110010 => 0001101
[8,5,6,2,3,7,4,1] => 1010011 => 1100101 => 0011010
[7,8,1,4,5,6,2,3] => 0100010 => 0100010 => 1011101
[5,6,7,8,9,1,3,4,2] => 00001001 => 10010000 => 01101111
[6,7,8,9,1,3,4,5,2] => 00010001 => 10001000 => 01110111
[6,7,8,9,1,4,5,2,3] => 00010010 => 01001000 => 10110111
[6,7,8,9,1,4,5,3,2] => 00010011 => 11001000 => 00110111
[6,7,8,9,1,5,4,3,2] => 00010111 => 11101000 => 00010111
[7,8,9,1,4,5,6,2,3] => 00100010 => 01000100 => 10111011
[7,8,9,1,4,5,6,3,2] => 00100011 => 11000100 => 00111011
[7,8,9,1,5,6,3,4,2] => 00100101 => 10100100 => 01011011
[7,8,9,1,5,6,4,3,2] => 00100111 => 11100100 => 00011011
[7,8,9,1,6,5,4,3,2] => 00101111 => 11110100 => 00001011
[8,9,1,5,6,7,3,4,2] => 01000101 => 10100010 => 01011101
[8,9,1,5,6,7,4,3,2] => 01000111 => 11100010 => 00011101
[8,9,1,6,7,4,5,2,3] => 01001010 => 01010010 => 10101101
[8,9,1,6,7,4,5,3,2] => 01001011 => 11010010 => 00101101
[8,9,1,6,7,5,4,3,2] => 01001111 => 11110010 => 00001101
[9,1,7,8,5,6,3,4,2] => 10010101 => 10101001 => 01010110
[9,1,7,8,5,6,4,3,2] => 10010111 => 11101001 => 00010110
[5,6,7,8,9,10,1,3,4,2] => 000001001 => 100100000 => 011011111
[5,6,7,8,9,10,1,4,3,2] => 000001011 => 110100000 => 001011111
[7,8,9,10,1,4,5,6,2,3] => 000100010 => 010001000 => 101110111
[7,8,9,10,1,4,5,6,3,2] => 000100011 => 110001000 => 001110111
[7,8,9,10,1,5,6,4,3,2] => 000100111 => 111001000 => 000110111
[7,8,9,10,1,6,5,4,3,2] => 000101111 => 111101000 => 000010111
[8,9,10,1,4,5,6,7,2,3] => 001000010 => 010000100 => 101111011
[8,9,10,1,4,5,6,7,3,2] => 001000011 => 110000100 => 001111011
[8,9,10,1,5,6,7,2,3,4] => 001000100 => 001000100 => 110111011
[8,9,10,1,5,6,7,4,3,2] => 001000111 => 111000100 => 000111011
[8,9,10,1,6,7,4,5,2,3] => 001001010 => 010100100 => 101011011
[8,9,10,1,6,7,4,5,3,2] => 001001011 => 110100100 => 001011011
[8,9,10,1,6,7,5,4,3,2] => 001001111 => 111100100 => 000011011
[8,9,10,1,7,6,5,4,3,2] => 001011111 => 111110100 => 000001011
[9,10,1,6,7,8,3,4,5,2] => 010001001 => 100100010 => 011011101
[9,10,1,6,7,8,4,5,2,3] => 010001010 => 010100010 => 101011101
[9,10,1,6,7,8,4,5,3,2] => 010001011 => 110100010 => 001011101
[9,10,1,6,7,8,5,4,3,2] => 010001111 => 111100010 => 000011101
[9,10,1,7,8,5,6,3,4,2] => 010010101 => 101010010 => 010101101
[9,10,1,7,8,5,6,4,3,2] => 010010111 => 111010010 => 000101101
[9,10,1,7,8,6,5,4,3,2] => 010011111 => 111110010 => 000001101
[10,1,8,9,6,7,4,5,3,2] => 100101011 => 110101001 => 001010110
[10,1,8,9,6,7,5,4,3,2] => 100101111 => 111101001 => 000010110
[10,1,8,9,7,6,5,4,3,2] => 100111111 => 111111001 => 000000110
[7,4,8,3,5,6,2,1] => 1010011 => 1100101 => 0011010
[2,6,1,4,7,5,8,3] => 0100101 => 1010010 => 0101101
[3,1,5,7,2,6,8,4] => 1001001 => 1001001 => 0110110
[3,1,7,5,2,6,8,4] => 1011001 => 1001101 => 0110010
[3,2,7,5,1,6,8,4] => 1011001 => 1001101 => 0110010
[5,2,7,3,1,6,8,4] => 1011001 => 1001101 => 0110010
[6,7,2,1,3,4,8,5] => 0110001 => 1000110 => 0111001
[4,6,3,1,2,7,8,5] => 0110001 => 1000110 => 0111001
[2,3,4,5,7,9,6,8,1] => 00000101 => 10100000 => 01011111
[2,3,4,6,9,5,7,8,1] => 00001001 => 10010000 => 01101111
[2,3,5,6,8,4,7,1] => 0000101 => 1010000 => 0101111
[2,3,5,9,4,6,7,8,1] => 00010001 => 10001000 => 01110111
[2,4,5,8,3,6,7,1] => 0001001 => 1001000 => 0110111
[2,4,9,3,5,6,7,8,1] => 00100001 => 10000100 => 01111011
[5,9,8,7,6,4,3,1,2] => 01111110 => 01111110 => 10000001
[5,4,8,7,6,3,2,1,9] => 10111110 => 01111101 => 10000010
[4,5,8,7,6,3,1,2] => 0011110 => 0111100 => 1000011
[6,5,9,8,7,4,3,1,2] => 10111110 => 01111101 => 10000010
[8,7,4,6,5,3,1,2] => 1101110 => 0111011 => 1000100
[9,5,8,7,6,4,3,1,2] => 10111110 => 01111101 => 10000010
[6,10,9,8,7,5,4,3,1,2] => 011111110 => 011111110 => 100000001
[8,1,4,3,6,2,5,7] => 1010100 => 0010101 => 1101010
[1,6,3,7,8,4,2,5] => 0100110 => 0110010 => 1001101
[5,3,8,4,6,7,2,1] => 1010011 => 1100101 => 0011010
[4,3,5,8,6,7,2,1] => 1001011 => 1101001 => 0010110
[3,2,7,8,5,6,4,1] => 1001011 => 1101001 => 0010110
[4,7,3,8,5,6,2,1] => 0101011 => 1101010 => 0010101
[7,1,4,8,5,6,3,2] => 1001011 => 1101001 => 0010110
[4,3,8,7,2,5,6,1] => 1011001 => 1001101 => 0110010
[1,7,3,8,6,4,5,2] => 0101101 => 1011010 => 0100101
[7,4,2,8,5,6,3,1] => 1101011 => 1101011 => 0010100
[3,4,8,2,6,7,5,1] => 0010011 => 1100100 => 0011011
[1,6,3,8,7,4,5,2] => 0101101 => 1011010 => 0100101
[1,4,5,8,7,6,2,3] => 0001110 => 0111000 => 1000111
[5,2,1,3,8,4,6,7] => 1100100 => 0010011 => 1101100
[1,4,3,5,8,2,6,7] => 0100100 => 0010010 => 1101101
[2,1,3,8,6,4,5,7] => 1001100 => 0011001 => 1100110
[1,3,6,4,5,8,2,7] => 0010010 => 0100100 => 1011011
[6,1,4,3,5,8,2,7] => 1010010 => 0100101 => 1011010
[6,5,1,3,8,2,4,7] => 1100100 => 0010011 => 1101100
[1,4,3,8,6,2,5,7] => 0101100 => 0011010 => 1100101
[4,1,3,8,6,2,5,7] => 1001100 => 0011001 => 1100110
[7,1,5,4,6,3,8,2] => 1010101 => 1010101 => 0101010
[8,9,7,6,5,4,3,2,10,1] => 011111101 => 101111110 => 010000001
[7,6,8,5,4,3,2,9,1] => 10111101 => 10111101 => 01000010
[6,8,7,5,4,3,2,9,1] => 01111101 => 10111110 => 01000001
[6,4,7,8,3,5,1,2] => 1001010 => 0101001 => 1010110
[3,5,6,7,1,8,4,2] => 0001011 => 1101000 => 0010111
[2,7,8,3,6,1,5,4] => 0010101 => 1010100 => 0101011
[1,7,8,3,6,2,5,4] => 0010101 => 1010100 => 0101011
[7,4,3,5,8,1,6,2] => 1100101 => 1010011 => 0101100
[7,3,6,4,1,8,5,2] => 1011011 => 1101101 => 0010010
[7,8,4,3,6,1,5,2] => 0110101 => 1010110 => 0101001
[7,1,6,4,3,8,5,2] => 1011011 => 1101101 => 0010010
[8,7,3,4,1,5,2,6] => 1101010 => 0101011 => 1010100
[7,2,6,4,3,8,5,1] => 1011011 => 1101101 => 0010010
[1,7,5,4,3,8,2,6] => 0111010 => 0101110 => 1010001
[4,5,8,1,7,3,2,6] => 0010110 => 0110100 => 1001011
[4,6,7,1,3,8,2,5] => 0010010 => 0100100 => 1011011
[2,3,4,5,6,1,8,9,7] => 00001001 => 10010000 => 01101111
[2,3,4,5,1,7,8,9,6] => 00010001 => 10001000 => 01110111
[2,6,3,1,4,7,8,5] => 0110001 => 1000110 => 0111001
[2,9,3,4,5,6,1,7,8] => 01000100 => 00100010 => 11011101
[2,3,4,5,6,7,1,9,10,8] => 000001001 => 100100000 => 011011111
[2,7,3,4,1,8,5,6] => 0101010 => 0101010 => 1010101
[2,8,3,4,5,1,6,9,7] => 01001001 => 10010010 => 01101101
[2,7,3,4,1,5,8,9,6] => 01010001 => 10001010 => 01110101
[2,3,4,5,1,7,8,9,10,6] => 000100001 => 100001000 => 011110111
[2,6,3,1,4,7,8,9,5] => 01100001 => 10000110 => 01111001
[2,3,1,5,6,7,8,9,10,4] => 010000001 => 100000010 => 011111101
[7,5,8,2,4,3,1,6] => 1010110 => 0110101 => 1001010
[2,3,7,8,1,4,6,5] => 0001001 => 1001000 => 0110111
[8,2,3,5,4,1,7,6] => 1001101 => 1011001 => 0100110
[7,1,3,8,2,4,6,5] => 1001001 => 1001001 => 0110110
[7,2,3,6,4,1,8,5] => 1001101 => 1011001 => 0100110
[6,5,2,4,1,8,3,7] => 1101010 => 0101011 => 1010100
[5,7,2,4,1,3,8,6] => 0101001 => 1001010 => 0110101
[6,2,5,4,1,8,3,7] => 1011010 => 0101101 => 1010010
[4,2,5,3,7,6,9,8,1] => 10101011 => 11010101 => 00101010
[4,2,6,3,7,5,9,8,1] => 10101011 => 11010101 => 00101010
[4,2,6,3,8,5,9,7,1] => 10101011 => 11010101 => 00101010
[4,2,6,3,8,5,1,7,9] => 10101100 => 00110101 => 11001010
[4,2,6,3,5,8,1,7] => 1010010 => 0100101 => 1011010
[4,2,6,3,8,5,7,1,9] => 10101010 => 01010101 => 10101010
[4,2,6,3,5,8,7,1,9] => 10100110 => 01100101 => 10011010
[4,2,3,6,5,8,7,1,9] => 10010110 => 01101001 => 10010110
[4,2,5,3,7,6,9,8,1,10] => 101010110 => 011010101 => 100101010
[5,2,6,3,7,4,9,8,1] => 10101011 => 11010101 => 00101010
[4,2,6,3,7,5,9,8,1,10] => 101010110 => 011010101 => 100101010
[4,2,7,3,8,5,9,6,1] => 10101011 => 11010101 => 00101010
[4,2,6,3,8,5,9,7,1,10] => 101010110 => 011010101 => 100101010
[4,2,6,3,9,5,1,7,8] => 10101100 => 00110101 => 11001010
[4,2,6,3,8,5,10,7,1,9] => 101010110 => 011010101 => 100101010
[4,2,6,3,8,5,7,9,1] => 10101001 => 10010101 => 01101010
[4,2,6,3,8,5,10,7,9,1] => 101010101 => 101010101 => 010101010
[4,2,6,3,5,8,1,7,9] => 10100100 => 00100101 => 11011010
[4,2,6,3,8,5,7,10,9,1] => 101010011 => 110010101 => 001101010
[4,2,3,6,8,5,7,1,9] => 10001010 => 01010001 => 10101110
[4,2,6,3,5,8,7,10,9,1] => 101001011 => 110100101 => 001011010
[2,4,6,3,5,8,7,1,9] => 00100110 => 01100100 => 10011011
[4,2,3,6,5,8,7,10,9,1] => 100101011 => 110101001 => 001010110
[7,4,2,6,8,5,3,1] => 1100111 => 1110011 => 0001100
[8,5,2,4,6,3,1,7] => 1100110 => 0110011 => 1001100
[7,4,1,2,8,5,6,3] => 1100101 => 1010011 => 0101100
[6,4,1,8,5,2,3,7] => 1101100 => 0011011 => 1100100
[8,4,1,6,3,5,2,7] => 1101010 => 0101011 => 1010100
[7,3,4,1,6,8,5,2] => 1010011 => 1100101 => 0011010
[8,6,2,3,5,7,4,1] => 1100011 => 1100011 => 0011100
[8,6,2,5,7,3,4,1] => 1100101 => 1010011 => 0101100
[6,3,4,8,5,1,2,7] => 1001100 => 0011001 => 1100110
[8,5,1,2,7,4,6,3] => 1100101 => 1010011 => 0101100
[7,2,6,8,3,4,5,1] => 1001001 => 1001001 => 0110110
[1,6,7,5,4,8,2,3] => 0011010 => 0101100 => 1010011
[1,8,5,4,2,6,3,7] => 0111010 => 0101110 => 1010001
[3,4,5,6,9,2,1,8,7] => 00001101 => 10110000 => 01001111
[3,4,5,8,2,9,1,7,6] => 00010101 => 10101000 => 01010111
[3,4,7,2,8,9,1,5,6] => 00100100 => 00100100 => 11011011
[3,6,2,7,8,9,1,5,4] => 01000101 => 10100010 => 01011101
[5,2,6,7,8,9,1,4,3] => 10000101 => 10100001 => 01011110
[3,4,5,6,7,8,9,11,1,10,2] => 0000000101 => 1010000000 => 0101111111
[3,4,5,6,9,1,7,8,2] => 00001001 => 10010000 => 01101111
[3,4,5,6,7,10,2,1,9,8] => 000001101 => 101100000 => 010011111
[3,4,5,6,7,8,10,11,1,9,2] => 0000000101 => 1010000000 => 0101111111
[3,4,5,8,9,6,1,7,2] => 00001101 => 10110000 => 01001111
[3,4,5,6,9,2,10,1,8,7] => 000010101 => 101010000 => 010101111
[3,4,7,8,5,9,1,2,6] => 00010100 => 00101000 => 11010111
[3,4,5,9,2,6,1,8,7] => 00010101 => 10101000 => 01010111
[3,4,5,8,2,9,10,1,6,7] => 000100100 => 001001000 => 110110111
[3,4,5,6,8,9,10,11,1,7,2] => 0000000101 => 1010000000 => 0101111111
[3,6,7,4,8,9,1,5,2] => 00100101 => 10100100 => 01011011
[3,4,8,2,5,9,1,7,6] => 00100101 => 10100100 => 01011011
[3,4,7,2,8,9,10,1,6,5] => 001000101 => 101000100 => 010111011
[3,4,5,7,8,9,10,11,1,6,2] => 0000000101 => 1010000000 => 0101111111
[5,6,3,7,8,9,1,4,2] => 01000101 => 10100010 => 01011101
[3,7,2,4,8,9,1,5,6] => 01000100 => 00100010 => 11011101
[3,6,2,7,8,9,10,1,5,4] => 010000101 => 101000010 => 010111101
[6,2,3,7,8,9,1,5,4] => 10000101 => 10100001 => 01011110
[5,2,6,7,8,9,10,1,3,4] => 100000100 => 001000001 => 110111110
[3,5,6,7,8,9,10,11,1,4,2] => 0000000101 => 1010000000 => 0101111111
[4,5,6,7,8,9,10,11,1,3,2] => 0000000101 => 1010000000 => 0101111111
[8,9,7,6,5,4,1,3,2] => 01111101 => 10111110 => 01000001
[8,7,9,6,5,4,1,3,2] => 10111101 => 10111101 => 01000010
[9,7,8,6,5,4,1,3,2] => 10111101 => 10111101 => 01000010
[9,10,8,7,6,5,4,1,3,2] => 011111101 => 101111110 => 010000001
[10,8,7,6,5,4,3,2,9,1] => 111111101 => 101111111 => 010000000
[5,7,3,6,2,1,4,8] => 0101100 => 0011010 => 1100101
[1,3,2,4,5,6,9,7,8] => 01000010 => 01000010 => 10111101
[2,3,1,4,5,6,9,7,8] => 01000010 => 01000010 => 10111101
[5,8,6,1,2,4,3,7] => 0110010 => 0100110 => 1011001
[4,1,5,7,3,6,8,2] => 1001001 => 1001001 => 0110110
[1,4,5,7,6,8,2,3] => 0001010 => 0101000 => 1010111
[5,7,2,1,6,8,4,3] => 0110011 => 1100110 => 0011001
[2,6,3,1,7,8,5,4] => 0110011 => 1100110 => 0011001
[6,2,5,7,4,1,8,3] => 1001101 => 1011001 => 0100110
[3,6,1,8,7,4,5,2] => 0101101 => 1011010 => 0100101
[4,3,9,5,6,7,8,2,1] => 10100011 => 11000101 => 00111010
[10,2,3,4,5,6,7,8,9,11,1] => 1000000001 => 1000000001 => 0111111110
[2,9,4,5,6,7,8,1,10,3] => 010000101 => 101000010 => 010111101
[3,2,8,5,6,7,1,9,4] => 10100101 => 10100101 => 01011010
[7,8,4,5,6,1,3,9,2] => 01001001 => 10010010 => 01101101
[3,4,1,9,6,7,8,2,5] => 01010010 => 01001010 => 10110101
[4,8,9,5,6,7,2,1,3] => 00100110 => 01100100 => 10011011
[4,3,10,5,6,7,8,9,2,1] => 101000011 => 110000101 => 001111010
[11,2,3,4,5,6,7,8,9,10,12,1] => 10000000001 => 10000000001 => 01111111110
[2,10,4,5,6,7,8,9,1,11,3] => 0100000101 => 1010000010 => 0101111101
[3,2,9,5,6,7,8,1,10,4] => 101000101 => 101000101 => 010111010
[8,9,4,5,6,7,1,3,10,2] => 010001001 => 100100010 => 011011101
[4,2,3,8,6,7,1,9,5] => 10010101 => 10101001 => 01010110
[6,8,4,5,1,3,7,9,2] => 01010001 => 10001010 => 01110101
[4,7,1,3,5,6,8,2] => 0100001 => 1000010 => 0111101
[4,3,5,7,8,2,6,1] => 1000101 => 1010001 => 0101110
[3,5,1,4,9,7,8,2,6] => 01001010 => 01010010 => 10101101
[8,3,4,9,6,7,2,5,1] => 10010101 => 10101001 => 01010110
[3,4,1,10,6,7,8,9,2,5] => 010100010 => 010001010 => 101110101
[4,7,9,5,6,2,1,8,3] => 00101101 => 10110100 => 01001011
[4,9,10,5,6,7,8,2,1,3] => 001000110 => 011000100 => 100111011
[5,3,2,7,6,4,1,8] => 1101110 => 0111011 => 1000100
[5,3,7,4,6,2,1,8] => 1010110 => 0110101 => 1001010
[5,7,3,2,1,8,6,4] => 0111011 => 1101110 => 0010001
[5,7,6,3,2,1,8,4] => 0111101 => 1011110 => 0100001
[3,2,7,5,4,1,8,6] => 1011101 => 1011101 => 0100010
[1,7,3,5,4,2,6,8] => 0101100 => 0011010 => 1100101
[5,3,7,4,1,8,6,2] => 1011011 => 1101101 => 0010010
[7,3,5,4,1,6,8,2] => 1011001 => 1001101 => 0110010
[7,5,1,6,8,3,2,4] => 1100110 => 0110011 => 1001100
[5,3,1,7,6,8,2,4] => 1101010 => 0101011 => 1010100
[7,1,5,3,2,4,8,6] => 1011001 => 1001101 => 0110010
[8,1,2,5,3,4,6,7,9] => 10010000 => 00001001 => 11110110
[7,1,5,2,4,3,6,8] => 1010100 => 0010101 => 1101010
[1,9,2,3,6,4,5,7,8] => 01001000 => 00010010 => 11101101
[9,1,2,3,6,4,5,7,8,10] => 100010000 => 000010001 => 111101110
[8,1,2,6,4,3,5,7,9] => 10011000 => 00011001 => 11100110
[8,1,2,6,3,5,4,7,9] => 10010100 => 00101001 => 11010110
[1,9,2,3,7,5,4,6,8] => 01001100 => 00110010 => 11001101
[1,9,2,3,7,4,6,5,8] => 01001010 => 01010010 => 10101101
[6,8,7,3,2,1,5,4] => 0111101 => 1011110 => 0100001
[3,6,8,7,2,4,1,5] => 0011010 => 0101100 => 1010011
[5,7,3,6,2,1,8,4] => 0101101 => 1011010 => 0100101
[3,6,5,2,4,8,1,7] => 0110010 => 0100110 => 1011001
[5,6,7,8,9,3,2,1,4] => 00001110 => 01110000 => 10001111
[6,7,8,9,3,4,1,2,5] => 00010100 => 00101000 => 11010111
[6,7,8,9,3,4,2,1,5] => 00010110 => 01101000 => 10010111
[7,8,9,3,4,5,1,2,6] => 00100100 => 00100100 => 11011011
[7,8,9,3,4,5,2,1,6] => 00100110 => 01100100 => 10011011
[7,8,9,4,5,2,3,1,6] => 00101010 => 01010100 => 10101011
[7,8,9,4,5,3,2,1,6] => 00101110 => 01110100 => 10001011
[8,9,4,5,6,2,3,1,7] => 01001010 => 01010010 => 10101101
[8,9,4,5,6,3,2,1,7] => 01001110 => 01110010 => 10001101
[8,9,5,6,3,4,1,2,7] => 01010100 => 00101010 => 11010101
[8,9,5,6,3,4,2,1,7] => 01010110 => 01101010 => 10010101
[8,9,5,6,4,3,2,1,7] => 01011110 => 01111010 => 10000101
[9,6,7,4,5,3,2,1,8] => 10101110 => 01110101 => 10001010
[5,6,7,8,9,10,3,2,1,4] => 000001110 => 011100000 => 100011111
[7,8,9,10,3,4,5,1,2,6] => 000100100 => 001001000 => 110110111
[7,8,9,10,3,4,5,2,1,6] => 000100110 => 011001000 => 100110111
[7,8,9,10,4,5,2,3,1,6] => 000101010 => 010101000 => 101010111
[7,8,9,10,4,5,3,2,1,6] => 000101110 => 011101000 => 100010111
[7,8,9,10,5,4,3,2,1,6] => 000111110 => 011111000 => 100000111
[8,9,10,3,4,5,6,1,2,7] => 001000100 => 001000100 => 110111011
[8,9,10,3,4,5,6,2,1,7] => 001000110 => 011000100 => 100111011
[8,9,10,4,5,6,1,2,3,7] => 001001000 => 000100100 => 111011011
[8,9,10,4,5,6,3,2,1,7] => 001001110 => 011100100 => 100011011
[8,9,10,5,6,3,4,1,2,7] => 001010100 => 001010100 => 110101011
[8,9,10,5,6,3,4,2,1,7] => 001010110 => 011010100 => 100101011
[8,9,10,5,6,4,3,2,1,7] => 001011110 => 011110100 => 100001011
[8,9,10,6,5,4,3,2,1,7] => 001111110 => 011111100 => 100000011
[9,10,5,6,7,2,3,4,1,8] => 010010010 => 010010010 => 101101101
[9,10,5,6,7,3,4,1,2,8] => 010010100 => 001010010 => 110101101
[9,10,5,6,7,3,4,2,1,8] => 010010110 => 011010010 => 100101101
[9,10,5,6,7,4,3,2,1,8] => 010011110 => 011110010 => 100001101
[9,10,6,7,4,5,3,2,1,8] => 010101110 => 011101010 => 100010101
[9,10,6,7,5,4,3,2,1,8] => 010111110 => 011111010 => 100000101
[9,10,7,6,5,4,3,2,1,8] => 011111110 => 011111110 => 100000001
[10,7,8,5,6,3,4,2,1,9] => 101010110 => 011010101 => 100101010
[10,7,8,5,6,4,3,2,1,9] => 101011110 => 011110101 => 100001010
[10,7,8,6,5,4,3,2,1,9] => 101111110 => 011111101 => 100000010
[1,8,3,6,2,4,7,5] => 0101001 => 1001010 => 0110101
[1,8,7,5,6,4,2,3] => 0110110 => 0110110 => 1001001
[6,8,2,1,5,4,3,7] => 0110110 => 0110110 => 1001001
[10,9,1,2,3,7,8,4,5,6] => 110000100 => 001000011 => 110111100
[10,9,1,2,8,7,3,4,5,6] => 110011000 => 000110011 => 111001100
[9,8,1,10,7,2,3,4,5,6] => 110110000 => 000011011 => 111100100
[8,6,1,2,3,4,5,9,10,7] => 110000001 => 100000011 => 011111100
[5,7,1,2,3,4,8,9,10,6] => 010000001 => 100000010 => 011111101
[8,11,1,2,3,4,5,9,10,6,7] => 0100000010 => 0100000010 => 1011111101
[10,4,1,2,3,7,8,9,5,6] => 110000010 => 010000011 => 101111100
[10,11,1,2,3,4,8,9,5,6,7] => 0100000100 => 0010000010 => 1101111101
[10,3,1,2,9,7,8,4,5,6] => 110010100 => 001010011 => 110101100
[10,11,1,2,3,9,8,4,5,6,7] => 0100011000 => 0001100010 => 1110011101
[2,9,1,10,8,7,3,4,5,6] => 010111000 => 000111010 => 111000101
[10,9,1,2,11,8,3,4,5,6,7] => 1100110000 => 0000110011 => 1111001100
[9,8,1,10,11,2,3,4,5,6,7] => 1100100000 => 0000010011 => 1111101100
[11,8,9,10,1,2,3,4,5,6,7] => 1001000000 => 0000001001 => 1111110110
[6,3,2,1,5,8,4,7] => 1110010 => 0100111 => 1011000
[4,3,5,6,2,8,1,7] => 1001010 => 0101001 => 1010110
[6,3,5,2,7,8,4,1] => 1010011 => 1100101 => 0011010
[4,5,3,1,6,8,2,7] => 0110010 => 0100110 => 1011001
[3,4,6,7,5,1,8,2] => 0001101 => 1011000 => 0100111
[7,4,1,2,5,6,8,3] => 1100001 => 1000011 => 0111100
[4,8,2,6,7,1,5,3] => 0100101 => 1010010 => 0101101
[6,5,8,3,7,1,4,2] => 1010101 => 1010101 => 0101010
[4,2,6,1,3,5,8,7,9] => 10100010 => 01000101 => 10111010
[4,2,6,1,8,3,5,7,9] => 10101000 => 00010101 => 11101010
[4,2,6,1,3,5,8,7,10,9] => 101000101 => 101000101 => 010111010
[4,2,8,1,3,6,5,7,9] => 10100100 => 00100101 => 11011010
[4,2,6,1,8,3,5,7,10,9] => 101010001 => 100010101 => 011101010
[4,2,6,1,9,3,5,8,7] => 10101001 => 10010101 => 01101010
[4,2,6,1,8,3,10,5,7,9] => 101010100 => 001010101 => 110101010
[9,7,1,8,2,3,4,5,6] => 11010000 => 00001011 => 11110100
[9,6,1,7,2,8,3,4,5] => 11010100 => 00101011 => 11010100
[8,6,1,9,7,2,3,4,5] => 11011000 => 00011011 => 11100100
[9,8,6,1,7,2,3,4,5] => 11101000 => 00010111 => 11101000
[8,5,1,9,6,2,7,3,4] => 11011010 => 01011011 => 10100100
[9,8,5,1,6,2,7,3,4] => 11101010 => 01010111 => 10101000
[9,7,5,1,8,6,2,3,4] => 11101100 => 00110111 => 11001000
[9,8,7,5,1,6,2,3,4] => 11110100 => 00101111 => 11010000
[9,7,4,1,8,5,2,6,3] => 11101101 => 10110111 => 01001000
[9,8,7,4,1,5,2,6,3] => 11110101 => 10101111 => 01010000
[8,6,4,1,9,7,5,2,3] => 11101110 => 01110111 => 10001000
[9,8,6,4,1,7,5,2,3] => 11110110 => 01101111 => 10010000
[9,8,7,6,4,1,5,2,3] => 11111010 => 01011111 => 10100000
[9,8,7,5,3,1,6,4,2] => 11111011 => 11011111 => 00100000
[10,7,1,8,2,9,3,4,5,6] => 110101000 => 000101011 => 111010100
[9,7,1,10,8,2,3,4,5,6] => 110110000 => 000011011 => 111100100
[10,9,7,1,8,2,3,4,5,6] => 111010000 => 000010111 => 111101000
[10,6,1,7,2,8,3,9,4,5] => 110101010 => 010101011 => 101010100
[9,6,1,10,7,2,8,3,4,5] => 110110100 => 001011011 => 110100100
[10,9,6,1,7,2,8,3,4,5] => 111010100 => 001010111 => 110101000
[10,8,6,1,9,7,2,3,4,5] => 111011000 => 000110111 => 111001000
[10,9,8,6,1,7,2,3,4,5] => 111101000 => 000101111 => 111010000
[9,5,1,10,6,2,7,3,8,4] => 110110101 => 101011011 => 010100100
[10,9,5,1,6,2,7,3,8,4] => 111010101 => 101010111 => 010101000
[8,5,1,9,6,2,10,7,3,4] => 110110110 => 011011011 => 100100100
[10,8,5,1,9,6,2,7,3,4] => 111011010 => 010110111 => 101001000
[10,9,8,5,1,6,2,7,3,4] => 111101010 => 010101111 => 101010000
[9,7,5,1,10,8,6,2,3,4] => 111011100 => 001110111 => 110001000
[10,9,7,5,1,8,6,2,3,4] => 111101100 => 001101111 => 110010000
[10,9,8,7,5,1,6,2,3,4] => 111110100 => 001011111 => 110100000
[9,7,4,1,10,8,5,2,6,3] => 111011101 => 101110111 => 010001000
[10,9,7,4,1,8,5,2,6,3] => 111101101 => 101101111 => 010010000
[10,9,8,7,4,1,5,2,6,3] => 111110101 => 101011111 => 010100000
[10,8,6,4,1,9,7,5,2,3] => 111101110 => 011101111 => 100010000
[10,9,8,6,4,1,7,5,2,3] => 111110110 => 011011111 => 100100000
[10,9,8,7,6,4,1,5,2,3] => 111111010 => 010111111 => 101000000
[10,9,7,5,3,1,8,6,4,2] => 111110111 => 111011111 => 000100000
[10,9,8,7,5,3,1,6,4,2] => 111111011 => 110111111 => 001000000
[10,9,8,7,6,5,3,1,4,2] => 111111101 => 101111111 => 010000000
[9,1,2,8,4,3,5,6,7] => 10011000 => 00011001 => 11100110
[8,1,9,3,2,4,6,5,7] => 10110010 => 01001101 => 10110010
[9,8,2,1,3,5,6,4,7] => 11100010 => 01000111 => 10111000
[8,1,9,2,4,5,6,3,7] => 10100010 => 01000101 => 10111010
[2,3,4,10,6,7,8,9,1,5] => 000100010 => 010001000 => 101110111
[2,3,10,5,6,7,8,9,1,4] => 001000010 => 010000100 => 101111011
[2,3,4,5,6,10,1,9,7,8] => 000001010 => 010100000 => 101011111
[2,3,4,5,6,7,11,9,10,1,8] => 0000001010 => 0101000000 => 1010111111
[2,3,4,5,10,1,8,9,6,7] => 000010010 => 010010000 => 101101111
[2,3,4,5,6,11,8,9,10,1,7] => 0000010010 => 0100100000 => 1011011111
[2,3,4,5,11,7,8,9,10,1,6] => 0000100010 => 0100010000 => 1011101111
[2,3,10,1,6,7,8,9,4,5] => 001000010 => 010000100 => 101111011
[2,3,4,11,6,7,8,9,10,1,5] => 0001000010 => 0100001000 => 1011110111
[2,3,11,5,6,7,8,9,10,1,4] => 0010000010 => 0100000100 => 1011111011
[1,5,2,4,7,6,8,3] => 0100101 => 1010010 => 0101101
[1,4,3,6,5,8,7,9,2] => 01010101 => 10101010 => 01010101
[1,4,2,6,5,8,7,9,3] => 01010101 => 10101010 => 01010101
[1,5,2,6,4,8,7,9,3] => 01010101 => 10101010 => 01010101
[1,5,2,7,4,8,6,9,3] => 01010101 => 10101010 => 01010101
[1,5,2,7,4,9,6,8,3] => 01010101 => 10101010 => 01010101
[1,5,2,7,4,6,9,8,3] => 01010011 => 11001010 => 00110101
[1,5,2,4,7,6,9,8,3] => 01001011 => 11010010 => 00101101
[1,2,5,4,7,6,9,8,3] => 00101011 => 11010100 => 00101011
[1,4,2,6,5,8,7,10,9,3] => 010101011 => 110101010 => 001010101
[1,5,2,6,3,8,7,9,4] => 01010101 => 10101010 => 01010101
[1,5,2,6,4,8,7,10,9,3] => 010101011 => 110101010 => 001010101
[1,6,2,7,4,8,5,9,3] => 01010101 => 10101010 => 01010101
[1,5,2,7,4,8,6,10,9,3] => 010101011 => 110101010 => 001010101
[1,5,2,8,4,9,6,7,3] => 01010101 => 10101010 => 01010101
[1,5,2,7,4,9,6,10,8,3] => 010101011 => 110101010 => 001010101
[1,5,2,7,4,6,8,9,3] => 01010001 => 10001010 => 01110101
[1,5,2,7,4,9,6,8,10,3] => 010101001 => 100101010 => 011010101
[1,5,2,4,7,9,6,8,3] => 01000101 => 10100010 => 01011101
[1,5,2,7,4,6,9,8,10,3] => 010100101 => 101001010 => 010110101
[1,2,5,7,4,6,9,8,3] => 00010011 => 11001000 => 00110111
[1,5,2,4,7,6,9,8,10,3] => 010010101 => 101010010 => 010101101
[1,2,5,4,7,6,9,8,10,3] => 001010101 => 101010100 => 010101011
[2,5,4,7,1,8,3,6] => 0101010 => 0101010 => 1010101
[1,5,4,7,3,8,2,6] => 0101010 => 0101010 => 1010101
[1,2,6,7,3,5,4,8] => 0001010 => 0101000 => 1010111
[8,1,2,4,6,3,5,7] => 1000100 => 0010001 => 1101110
[4,5,6,7,9,8,3,2,1] => 00001111 => 11110000 => 00001111
[5,4,6,7,8,9,3,2,1] => 10000111 => 11100001 => 00011110
[5,6,7,8,10,9,4,3,2,1] => 000011111 => 111110000 => 000001111
[6,5,7,8,9,4,3,2,1] => 10001111 => 11110001 => 00001110
[6,5,7,8,9,10,4,3,2,1] => 100001111 => 111100001 => 000011110
[5,6,7,8,9,11,10,4,3,2,1] => 0000011111 => 1111100000 => 0000011111
[4,5,6,7,8,10,9,3,2,1] => 000001111 => 111100000 => 000011111
[4,5,6,7,3,9,8,2,1] => 00010111 => 11101000 => 00010111
[3,5,6,7,9,8,4,2,1] => 00001111 => 11110000 => 00001111
[5,4,6,7,8,3,9,2,1] => 10001011 => 11010001 => 00101110
[4,3,6,7,8,9,5,2,1] => 10000111 => 11100001 => 00011110
[5,4,6,7,8,9,10,3,2,1] => 100000111 => 111000001 => 000111110
[6,5,7,8,9,10,11,4,3,2,1] => 1000001111 => 1111000001 => 0000111110
[3,4,5,6,8,9,7,1,2] => 00000110 => 01100000 => 10011111
[3,4,5,7,8,9,6,1,2] => 00000110 => 01100000 => 10011111
[3,5,6,7,8,9,4,1,2] => 00000110 => 01100000 => 10011111
[4,5,6,7,8,9,3,1,2] => 00000110 => 01100000 => 10011111
[3,4,5,6,7,9,10,8,1,2] => 000000110 => 011000000 => 100111111
[3,4,5,8,1,9,7,6,2] => 00010111 => 11101000 => 00010111
[3,4,5,6,8,9,10,7,1,2] => 000000110 => 011000000 => 100111111
[3,4,7,1,8,9,6,5,2] => 00100111 => 11100100 => 00011011
[3,6,1,7,8,9,4,5,2] => 01000101 => 10100010 => 01011101
[3,4,6,7,8,9,10,5,1,2] => 000000110 => 011000000 => 100111111
[5,1,6,7,8,9,4,3,2] => 10000111 => 11100001 => 00011110
[3,5,6,7,8,9,10,4,1,2] => 000000110 => 011000000 => 100111111
[1,5,6,7,8,9,3,2,4] => 00000110 => 01100000 => 10011111
[3,4,5,6,7,10,1,8,9,2] => 000001001 => 100100000 => 011011111
[3,4,5,6,7,8,10,11,9,1,2] => 0000000110 => 0110000000 => 1001111111
[3,4,5,8,9,6,7,1,2] => 00001010 => 01010000 => 10101111
[3,4,5,6,9,1,10,8,7,2] => 000010111 => 111010000 => 000101111
[3,4,5,6,7,9,10,11,8,1,2] => 0000000110 => 0110000000 => 1001111111
[3,4,7,8,5,9,6,1,2] => 00010110 => 01101000 => 10010111
[3,4,5,9,1,6,7,8,2] => 00010001 => 10001000 => 01110111
[3,4,5,8,1,9,10,7,6,2] => 000100111 => 111001000 => 000110111
[3,4,8,1,5,9,7,6,2] => 00100111 => 11100100 => 00011011
[3,4,7,1,8,9,10,5,6,2] => 001000101 => 101000100 => 010111011
[3,4,5,7,8,9,10,11,6,1,2] => 0000000110 => 0110000000 => 1001111111
[5,6,3,7,8,9,4,1,2] => 01000110 => 01100010 => 10011101
[3,7,8,4,5,6,1,2] => 0010010 => 0100100 => 1011011
[3,7,1,4,8,9,6,5,2] => 01000111 => 11100010 => 00011101
[3,6,1,7,8,9,10,5,4,2] => 010000111 => 111000010 => 000111101
[3,4,6,7,8,9,10,11,5,1,2] => 0000000110 => 0110000000 => 1001111111
[5,2,6,7,8,9,3,1,4] => 10000110 => 01100001 => 10011110
[6,1,3,7,8,9,4,5,2] => 10000101 => 10100001 => 01011110
[5,1,6,7,8,9,10,4,3,2] => 100000111 => 111000001 => 000111110
[1,2,6,7,8,9,4,3,5] => 00000110 => 01100000 => 10011111
[4,5,6,7,8,9,10,11,3,1,2] => 0000000110 => 0110000000 => 1001111111
[4,5,6,7,8,9,10,11,2,1,3] => 0000000110 => 0110000000 => 1001111111
[1,3,8,6,7,4,5,2] => 0010101 => 1010100 => 0101011
[2,6,5,3,7,1,8,4] => 0110101 => 1010110 => 0101001
[5,7,1,3,6,4,8,2] => 0100101 => 1010010 => 0101101
[8,2,5,4,1,7,3,6] => 1011010 => 0101101 => 1010010
[8,1,7,6,4,2,3,5] => 1011100 => 0011101 => 1100010
[1,8,6,3,7,4,5,2] => 0110101 => 1010110 => 0101001
[5,7,3,4,2,8,6,1] => 0101011 => 1101010 => 0010101
[5,8,3,4,2,7,6,1] => 0101011 => 1101010 => 0010101
[7,6,4,2,3,8,5,1] => 1110011 => 1100111 => 0011000
[3,5,6,8,2,4,7,1] => 0001001 => 1001000 => 0110111
[4,8,7,3,2,5,6,1] => 0111001 => 1001110 => 0110001
[3,7,4,2,6,8,5,1] => 0110011 => 1100110 => 0011001
[6,4,8,7,3,2,5,1] => 1011101 => 1011101 => 0100010
[5,6,2,8,7,4,3,1] => 0101111 => 1111010 => 0000101
[6,2,8,3,7,4,5,1] => 1010101 => 1010101 => 0101010
[3,7,5,6,4,2,8,1] => 0101101 => 1011010 => 0100101
[5,2,3,8,6,1,4,7] => 1001100 => 0011001 => 1100110
[1,4,3,8,5,6,2,7] => 0101010 => 0101010 => 1010101
[7,8,2,6,4,3,5,1] => 0101101 => 1011010 => 0100101
[4,5,8,7,2,3,6,1] => 0011001 => 1001100 => 0110011
[7,8,6,1,4,2,5,3] => 0110101 => 1010110 => 0101001
[6,10,5,1,2,3,4,7,8,9] => 011000000 => 000000110 => 111111001
[10,5,4,1,2,3,6,7,8,9] => 111000000 => 000000111 => 111111000
[8,3,6,5,2,7,1,4] => 1011010 => 0101101 => 1010010
[5,1,3,6,4,2,7,8] => 1001100 => 0011001 => 1100110
[6,1,2,4,7,5,3,8] => 1000110 => 0110001 => 1001110
[8,3,1,4,6,7,2,5] => 1100010 => 0100011 => 1011100
[7,8,5,1,2,6,3,4] => 0110010 => 0100110 => 1011001
[6,4,5,1,8,7,3,2] => 1010111 => 1110101 => 0001010
[8,6,2,1,7,3,5,4] => 1110101 => 1010111 => 0101000
[9,3,4,5,6,8,7,2,1] => 10000111 => 11100001 => 00011110
[9,4,3,5,6,7,8,2,1] => 11000011 => 11000011 => 00111100
[10,9,3,4,5,6,8,7,2,1] => 110000111 => 111000011 => 000111100
[9,8,3,4,5,7,6,2,1] => 11000111 => 11100011 => 00011100
[9,8,4,3,5,6,7,2,1] => 11100011 => 11000111 => 00111000
[10,9,4,3,5,6,7,8,2,1] => 111000011 => 110000111 => 001111000
[11,10,3,4,5,6,7,9,8,2,1] => 1100000111 => 1110000011 => 0001111100
[10,3,4,5,6,7,9,8,2,1] => 100000111 => 111000001 => 000111110
[9,3,4,5,6,2,8,7,1] => 10001011 => 11010001 => 00101110
[9,2,4,5,6,8,7,3,1] => 10000111 => 11100001 => 00011110
[9,4,3,5,6,7,2,8,1] => 11000101 => 10100011 => 01011100
[9,3,2,5,6,7,8,4,1] => 11000011 => 11000011 => 00111100
[10,4,3,5,6,7,8,9,2,1] => 110000011 => 110000011 => 001111100
[11,10,4,3,5,6,7,8,9,2,1] => 1110000011 => 1100000111 => 0011111000
[7,8,6,1,4,3,5,2] => 0110101 => 1010110 => 0101001
[4,6,3,5,7,2,8,1,9] => 01001010 => 01010010 => 10101101
[5,6,3,4,7,2,8,1,9] => 01001010 => 01010010 => 10101101
[4,3,6,2,5,7,1,8] => 1010010 => 0100101 => 1011010
[1,5,7,4,6,8,3,9,2] => 00100101 => 10100100 => 01011011
[1,6,5,7,3,4,8,2] => 0101001 => 1001010 => 0110101
[1,6,7,4,5,8,3,9,2] => 00100101 => 10100100 => 01011011
[1,7,5,6,8,4,9,3,10,2] => 010010101 => 101010010 => 010101101
[1,2,3,4,8,5,9,6,7] => 00001010 => 01010000 => 10101111
[1,2,3,4,5,8,6,9,7,10] => 000001010 => 010100000 => 101011111
[1,2,3,7,4,5,8,6,9] => 00010010 => 01001000 => 10110111
[1,2,3,4,8,6,5,7,9] => 00001100 => 00110000 => 11001111
[1,2,3,4,9,7,5,6,8] => 00001100 => 00110000 => 11001111
[1,2,3,4,5,9,6,10,7,8] => 000001010 => 010100000 => 101011111
[8,2,6,5,1,7,4,3] => 1011011 => 1101101 => 0010010
[7,6,4,1,2,5,8,3] => 1110001 => 1000111 => 0111000
[2,6,5,4,8,7,1,3] => 0110110 => 0110110 => 1001001
[5,6,7,1,3,2,4,8] => 0010100 => 0010100 => 1101011
[7,1,8,4,3,2,6,5] => 1011101 => 1011101 => 0100010
[2,1,4,9,3,5,6,7,8] => 10010000 => 00001001 => 11110110
[3,7,1,2,4,5,6,9,8] => 01000001 => 10000010 => 01111101
[3,1,2,6,9,4,5,7,8] => 10001000 => 00010001 => 11101110
[4,6,1,2,3,5,9,7,8] => 01000010 => 01000010 => 10111101
[1,8,5,2,7,6,4,3] => 0110111 => 1110110 => 0001001
[1,7,6,8,2,5,4,3] => 0101011 => 1101010 => 0010101
[1,7,8,6,2,5,4,3] => 0011011 => 1101100 => 0010011
[4,6,5,7,1,8,2,3] => 0101010 => 0101010 => 1010101
[7,5,3,6,8,4,2,1] => 1100111 => 1110011 => 0001100
[7,2,5,6,4,8,3,1] => 1001011 => 1101001 => 0010110
[7,4,6,2,8,5,3,1] => 1010111 => 1110101 => 0001010
[9,7,6,5,4,3,8,2,1] => 11111011 => 11011111 => 00100000
[9,8,6,5,4,7,3,2,1] => 11110111 => 11101111 => 00010000
[5,4,3,2,1,9,7,8,6] => 11110101 => 10101111 => 01010000
[10,8,7,6,5,4,3,9,2,1] => 111111011 => 110111111 => 001000000
[10,9,7,6,5,4,8,3,2,1] => 111110111 => 111011111 => 000100000
[1,6,3,4,2,5,8,7] => 0101001 => 1001010 => 0110101
[1,5,7,6,2,3,8,4] => 0011001 => 1001100 => 0110011
[1,4,3,7,6,2,5,8] => 0101100 => 0011010 => 1100101
[1,3,7,4,6,8,5,2] => 0010011 => 1100100 => 0011011
[3,7,4,6,8,1,5,2] => 0100101 => 1010010 => 0101101
[4,8,3,1,7,6,2,5] => 0110110 => 0110110 => 1001001
[2,6,7,5,3,4,1,8] => 0011010 => 0101100 => 1010011
[2,4,1,7,5,6,8,3] => 0101001 => 1001010 => 0110101
[7,2,4,8,3,5,1,6] => 1001010 => 0101001 => 1010110
[5,6,1,4,3,8,7,2] => 0101011 => 1101010 => 0010101
[5,8,6,4,3,1,7,2] => 0111101 => 1011110 => 0100001
[4,1,3,7,8,6,5,2] => 1000111 => 1110001 => 0001110
Map
descent word
Description
The descent positions of a permutation as a binary word.
For a permutation π of n letters and each 1≤i≤n−1 such that π(i)>π(i+1) we set wi=1, otherwise wi=0.
Thus, the length of the word is one less the size of the permutation. In particular, the descent word is undefined for the empty permutation.
Map
reverse
Description
Return the reversal of a binary word.
Map
complement
Description
Send a binary word to the word obtained by interchanging the two letters.