Identifier
Values
[1,2] => 0 => 0
[2,1] => 1 => 0
[1,2,3] => 00 => 0
[1,3,2] => 01 => 0
[2,1,3] => 10 => 1
[2,3,1] => 01 => 0
[3,1,2] => 10 => 1
[3,2,1] => 11 => 0
[1,2,3,4] => 000 => 0
[1,2,4,3] => 001 => 0
[1,3,2,4] => 010 => 1
[1,3,4,2] => 001 => 0
[1,4,2,3] => 010 => 1
[1,4,3,2] => 011 => 0
[2,1,3,4] => 100 => 1
[2,1,4,3] => 101 => 1
[2,3,1,4] => 010 => 1
[2,3,4,1] => 001 => 0
[2,4,1,3] => 010 => 1
[2,4,3,1] => 011 => 0
[3,1,2,4] => 100 => 1
[3,1,4,2] => 101 => 1
[3,2,1,4] => 110 => 1
[3,2,4,1] => 101 => 1
[3,4,1,2] => 010 => 1
[3,4,2,1] => 011 => 0
[4,1,2,3] => 100 => 1
[4,1,3,2] => 101 => 1
[4,2,1,3] => 110 => 1
[4,2,3,1] => 101 => 1
[4,3,1,2] => 110 => 1
[4,3,2,1] => 111 => 0
[1,2,3,4,5] => 0000 => 0
[1,2,3,5,4] => 0001 => 0
[1,2,4,3,5] => 0010 => 1
[1,2,4,5,3] => 0001 => 0
[1,2,5,3,4] => 0010 => 1
[1,2,5,4,3] => 0011 => 0
[1,3,2,4,5] => 0100 => 1
[1,3,2,5,4] => 0101 => 1
[1,3,4,2,5] => 0010 => 1
[1,3,4,5,2] => 0001 => 0
[1,3,5,2,4] => 0010 => 1
[1,3,5,4,2] => 0011 => 0
[1,4,2,3,5] => 0100 => 1
[1,4,2,5,3] => 0101 => 1
[1,4,3,2,5] => 0110 => 1
[1,4,3,5,2] => 0101 => 1
[1,4,5,2,3] => 0010 => 1
[1,4,5,3,2] => 0011 => 0
[1,5,2,3,4] => 0100 => 1
[1,5,2,4,3] => 0101 => 1
[1,5,3,2,4] => 0110 => 1
[1,5,3,4,2] => 0101 => 1
[1,5,4,2,3] => 0110 => 1
[1,5,4,3,2] => 0111 => 0
[2,1,3,4,5] => 1000 => 1
[2,1,3,5,4] => 1001 => 1
[2,1,4,3,5] => 1010 => 2
[2,1,4,5,3] => 1001 => 1
[2,1,5,3,4] => 1010 => 2
[2,1,5,4,3] => 1011 => 1
[2,3,1,4,5] => 0100 => 1
[2,3,1,5,4] => 0101 => 1
[2,3,4,1,5] => 0010 => 1
[2,3,4,5,1] => 0001 => 0
[2,3,5,1,4] => 0010 => 1
[2,3,5,4,1] => 0011 => 0
[2,4,1,3,5] => 0100 => 1
[2,4,1,5,3] => 0101 => 1
[2,4,3,1,5] => 0110 => 1
[2,4,3,5,1] => 0101 => 1
[2,4,5,1,3] => 0010 => 1
[2,4,5,3,1] => 0011 => 0
[2,5,1,3,4] => 0100 => 1
[2,5,1,4,3] => 0101 => 1
[2,5,3,1,4] => 0110 => 1
[2,5,3,4,1] => 0101 => 1
[2,5,4,1,3] => 0110 => 1
[2,5,4,3,1] => 0111 => 0
[3,1,2,4,5] => 1000 => 1
[3,1,2,5,4] => 1001 => 1
[3,1,4,2,5] => 1010 => 2
[3,1,4,5,2] => 1001 => 1
[3,1,5,2,4] => 1010 => 2
[3,1,5,4,2] => 1011 => 1
[3,2,1,4,5] => 1100 => 1
[3,2,1,5,4] => 1101 => 1
[3,2,4,1,5] => 1010 => 2
[3,2,4,5,1] => 1001 => 1
[3,2,5,1,4] => 1010 => 2
[3,2,5,4,1] => 1011 => 1
[3,4,1,2,5] => 0100 => 1
[3,4,1,5,2] => 0101 => 1
[3,4,2,1,5] => 0110 => 1
[3,4,2,5,1] => 0101 => 1
[3,4,5,1,2] => 0010 => 1
[3,4,5,2,1] => 0011 => 0
[3,5,1,2,4] => 0100 => 1
[3,5,1,4,2] => 0101 => 1
[3,5,2,1,4] => 0110 => 1
>>> Load all 39870 entries. <<<
[3,5,2,4,1] => 0101 => 1
[3,5,4,1,2] => 0110 => 1
[3,5,4,2,1] => 0111 => 0
[4,1,2,3,5] => 1000 => 1
[4,1,2,5,3] => 1001 => 1
[4,1,3,2,5] => 1010 => 2
[4,1,3,5,2] => 1001 => 1
[4,1,5,2,3] => 1010 => 2
[4,1,5,3,2] => 1011 => 1
[4,2,1,3,5] => 1100 => 1
[4,2,1,5,3] => 1101 => 1
[4,2,3,1,5] => 1010 => 2
[4,2,3,5,1] => 1001 => 1
[4,2,5,1,3] => 1010 => 2
[4,2,5,3,1] => 1011 => 1
[4,3,1,2,5] => 1100 => 1
[4,3,1,5,2] => 1101 => 1
[4,3,2,1,5] => 1110 => 1
[4,3,2,5,1] => 1101 => 1
[4,3,5,1,2] => 1010 => 2
[4,3,5,2,1] => 1011 => 1
[4,5,1,2,3] => 0100 => 1
[4,5,1,3,2] => 0101 => 1
[4,5,2,1,3] => 0110 => 1
[4,5,2,3,1] => 0101 => 1
[4,5,3,1,2] => 0110 => 1
[4,5,3,2,1] => 0111 => 0
[5,1,2,3,4] => 1000 => 1
[5,1,2,4,3] => 1001 => 1
[5,1,3,2,4] => 1010 => 2
[5,1,3,4,2] => 1001 => 1
[5,1,4,2,3] => 1010 => 2
[5,1,4,3,2] => 1011 => 1
[5,2,1,3,4] => 1100 => 1
[5,2,1,4,3] => 1101 => 1
[5,2,3,1,4] => 1010 => 2
[5,2,3,4,1] => 1001 => 1
[5,2,4,1,3] => 1010 => 2
[5,2,4,3,1] => 1011 => 1
[5,3,1,2,4] => 1100 => 1
[5,3,1,4,2] => 1101 => 1
[5,3,2,1,4] => 1110 => 1
[5,3,2,4,1] => 1101 => 1
[5,3,4,1,2] => 1010 => 2
[5,3,4,2,1] => 1011 => 1
[5,4,1,2,3] => 1100 => 1
[5,4,1,3,2] => 1101 => 1
[5,4,2,1,3] => 1110 => 1
[5,4,2,3,1] => 1101 => 1
[5,4,3,1,2] => 1110 => 1
[5,4,3,2,1] => 1111 => 0
[1,2,3,4,5,6] => 00000 => 0
[1,2,3,4,6,5] => 00001 => 0
[1,2,3,5,4,6] => 00010 => 1
[1,2,3,5,6,4] => 00001 => 0
[1,2,3,6,4,5] => 00010 => 1
[1,2,3,6,5,4] => 00011 => 0
[1,2,4,3,5,6] => 00100 => 1
[1,2,4,3,6,5] => 00101 => 1
[1,2,4,5,3,6] => 00010 => 1
[1,2,4,5,6,3] => 00001 => 0
[1,2,4,6,3,5] => 00010 => 1
[1,2,4,6,5,3] => 00011 => 0
[1,2,5,3,4,6] => 00100 => 1
[1,2,5,3,6,4] => 00101 => 1
[1,2,5,4,3,6] => 00110 => 1
[1,2,5,4,6,3] => 00101 => 1
[1,2,5,6,3,4] => 00010 => 1
[1,2,5,6,4,3] => 00011 => 0
[1,2,6,3,4,5] => 00100 => 1
[1,2,6,3,5,4] => 00101 => 1
[1,2,6,4,3,5] => 00110 => 1
[1,2,6,4,5,3] => 00101 => 1
[1,2,6,5,3,4] => 00110 => 1
[1,2,6,5,4,3] => 00111 => 0
[1,3,2,4,5,6] => 01000 => 1
[1,3,2,4,6,5] => 01001 => 1
[1,3,2,5,4,6] => 01010 => 2
[1,3,2,5,6,4] => 01001 => 1
[1,3,2,6,4,5] => 01010 => 2
[1,3,2,6,5,4] => 01011 => 1
[1,3,4,2,5,6] => 00100 => 1
[1,3,4,2,6,5] => 00101 => 1
[1,3,4,5,2,6] => 00010 => 1
[1,3,4,5,6,2] => 00001 => 0
[1,3,4,6,2,5] => 00010 => 1
[1,3,4,6,5,2] => 00011 => 0
[1,3,5,2,4,6] => 00100 => 1
[1,3,5,2,6,4] => 00101 => 1
[1,3,5,4,2,6] => 00110 => 1
[1,3,5,4,6,2] => 00101 => 1
[1,3,5,6,2,4] => 00010 => 1
[1,3,5,6,4,2] => 00011 => 0
[1,3,6,2,4,5] => 00100 => 1
[1,3,6,2,5,4] => 00101 => 1
[1,3,6,4,2,5] => 00110 => 1
[1,3,6,4,5,2] => 00101 => 1
[1,3,6,5,2,4] => 00110 => 1
[1,3,6,5,4,2] => 00111 => 0
[1,4,2,3,5,6] => 01000 => 1
[1,4,2,3,6,5] => 01001 => 1
[1,4,2,5,3,6] => 01010 => 2
[1,4,2,5,6,3] => 01001 => 1
[1,4,2,6,3,5] => 01010 => 2
[1,4,2,6,5,3] => 01011 => 1
[1,4,3,2,5,6] => 01100 => 1
[1,4,3,2,6,5] => 01101 => 1
[1,4,3,5,2,6] => 01010 => 2
[1,4,3,5,6,2] => 01001 => 1
[1,4,3,6,2,5] => 01010 => 2
[1,4,3,6,5,2] => 01011 => 1
[1,4,5,2,3,6] => 00100 => 1
[1,4,5,2,6,3] => 00101 => 1
[1,4,5,3,2,6] => 00110 => 1
[1,4,5,3,6,2] => 00101 => 1
[1,4,5,6,2,3] => 00010 => 1
[1,4,5,6,3,2] => 00011 => 0
[1,4,6,2,3,5] => 00100 => 1
[1,4,6,2,5,3] => 00101 => 1
[1,4,6,3,2,5] => 00110 => 1
[1,4,6,3,5,2] => 00101 => 1
[1,4,6,5,2,3] => 00110 => 1
[1,4,6,5,3,2] => 00111 => 0
[1,5,2,3,4,6] => 01000 => 1
[1,5,2,3,6,4] => 01001 => 1
[1,5,2,4,3,6] => 01010 => 2
[1,5,2,4,6,3] => 01001 => 1
[1,5,2,6,3,4] => 01010 => 2
[1,5,2,6,4,3] => 01011 => 1
[1,5,3,2,4,6] => 01100 => 1
[1,5,3,2,6,4] => 01101 => 1
[1,5,3,4,2,6] => 01010 => 2
[1,5,3,4,6,2] => 01001 => 1
[1,5,3,6,2,4] => 01010 => 2
[1,5,3,6,4,2] => 01011 => 1
[1,5,4,2,3,6] => 01100 => 1
[1,5,4,2,6,3] => 01101 => 1
[1,5,4,3,2,6] => 01110 => 1
[1,5,4,3,6,2] => 01101 => 1
[1,5,4,6,2,3] => 01010 => 2
[1,5,4,6,3,2] => 01011 => 1
[1,5,6,2,3,4] => 00100 => 1
[1,5,6,2,4,3] => 00101 => 1
[1,5,6,3,2,4] => 00110 => 1
[1,5,6,3,4,2] => 00101 => 1
[1,5,6,4,2,3] => 00110 => 1
[1,5,6,4,3,2] => 00111 => 0
[1,6,2,3,4,5] => 01000 => 1
[1,6,2,3,5,4] => 01001 => 1
[1,6,2,4,3,5] => 01010 => 2
[1,6,2,4,5,3] => 01001 => 1
[1,6,2,5,3,4] => 01010 => 2
[1,6,2,5,4,3] => 01011 => 1
[1,6,3,2,4,5] => 01100 => 1
[1,6,3,2,5,4] => 01101 => 1
[1,6,3,4,2,5] => 01010 => 2
[1,6,3,4,5,2] => 01001 => 1
[1,6,3,5,2,4] => 01010 => 2
[1,6,3,5,4,2] => 01011 => 1
[1,6,4,2,3,5] => 01100 => 1
[1,6,4,2,5,3] => 01101 => 1
[1,6,4,3,2,5] => 01110 => 1
[1,6,4,3,5,2] => 01101 => 1
[1,6,4,5,2,3] => 01010 => 2
[1,6,4,5,3,2] => 01011 => 1
[1,6,5,2,3,4] => 01100 => 1
[1,6,5,2,4,3] => 01101 => 1
[1,6,5,3,2,4] => 01110 => 1
[1,6,5,3,4,2] => 01101 => 1
[1,6,5,4,2,3] => 01110 => 1
[1,6,5,4,3,2] => 01111 => 0
[2,1,3,4,5,6] => 10000 => 1
[2,1,3,4,6,5] => 10001 => 1
[2,1,3,5,4,6] => 10010 => 2
[2,1,3,5,6,4] => 10001 => 1
[2,1,3,6,4,5] => 10010 => 2
[2,1,3,6,5,4] => 10011 => 1
[2,1,4,3,5,6] => 10100 => 2
[2,1,4,3,6,5] => 10101 => 2
[2,1,4,5,3,6] => 10010 => 2
[2,1,4,5,6,3] => 10001 => 1
[2,1,4,6,3,5] => 10010 => 2
[2,1,4,6,5,3] => 10011 => 1
[2,1,5,3,4,6] => 10100 => 2
[2,1,5,3,6,4] => 10101 => 2
[2,1,5,4,3,6] => 10110 => 2
[2,1,5,4,6,3] => 10101 => 2
[2,1,5,6,3,4] => 10010 => 2
[2,1,5,6,4,3] => 10011 => 1
[2,1,6,3,4,5] => 10100 => 2
[2,1,6,3,5,4] => 10101 => 2
[2,1,6,4,3,5] => 10110 => 2
[2,1,6,4,5,3] => 10101 => 2
[2,1,6,5,3,4] => 10110 => 2
[2,1,6,5,4,3] => 10111 => 1
[2,3,1,4,5,6] => 01000 => 1
[2,3,1,4,6,5] => 01001 => 1
[2,3,1,5,4,6] => 01010 => 2
[2,3,1,5,6,4] => 01001 => 1
[2,3,1,6,4,5] => 01010 => 2
[2,3,1,6,5,4] => 01011 => 1
[2,3,4,1,5,6] => 00100 => 1
[2,3,4,1,6,5] => 00101 => 1
[2,3,4,5,1,6] => 00010 => 1
[2,3,4,5,6,1] => 00001 => 0
[2,3,4,6,1,5] => 00010 => 1
[2,3,4,6,5,1] => 00011 => 0
[2,3,5,1,4,6] => 00100 => 1
[2,3,5,1,6,4] => 00101 => 1
[2,3,5,4,1,6] => 00110 => 1
[2,3,5,4,6,1] => 00101 => 1
[2,3,5,6,1,4] => 00010 => 1
[2,3,5,6,4,1] => 00011 => 0
[2,3,6,1,4,5] => 00100 => 1
[2,3,6,1,5,4] => 00101 => 1
[2,3,6,4,1,5] => 00110 => 1
[2,3,6,4,5,1] => 00101 => 1
[2,3,6,5,1,4] => 00110 => 1
[2,3,6,5,4,1] => 00111 => 0
[2,4,1,3,5,6] => 01000 => 1
[2,4,1,3,6,5] => 01001 => 1
[2,4,1,5,3,6] => 01010 => 2
[2,4,1,5,6,3] => 01001 => 1
[2,4,1,6,3,5] => 01010 => 2
[2,4,1,6,5,3] => 01011 => 1
[2,4,3,1,5,6] => 01100 => 1
[2,4,3,1,6,5] => 01101 => 1
[2,4,3,5,1,6] => 01010 => 2
[2,4,3,5,6,1] => 01001 => 1
[2,4,3,6,1,5] => 01010 => 2
[2,4,3,6,5,1] => 01011 => 1
[2,4,5,1,3,6] => 00100 => 1
[2,4,5,1,6,3] => 00101 => 1
[2,4,5,3,1,6] => 00110 => 1
[2,4,5,3,6,1] => 00101 => 1
[2,4,5,6,1,3] => 00010 => 1
[2,4,5,6,3,1] => 00011 => 0
[2,4,6,1,3,5] => 00100 => 1
[2,4,6,1,5,3] => 00101 => 1
[2,4,6,3,1,5] => 00110 => 1
[2,4,6,3,5,1] => 00101 => 1
[2,4,6,5,1,3] => 00110 => 1
[2,4,6,5,3,1] => 00111 => 0
[2,5,1,3,4,6] => 01000 => 1
[2,5,1,3,6,4] => 01001 => 1
[2,5,1,4,3,6] => 01010 => 2
[2,5,1,4,6,3] => 01001 => 1
[2,5,1,6,3,4] => 01010 => 2
[2,5,1,6,4,3] => 01011 => 1
[2,5,3,1,4,6] => 01100 => 1
[2,5,3,1,6,4] => 01101 => 1
[2,5,3,4,1,6] => 01010 => 2
[2,5,3,4,6,1] => 01001 => 1
[2,5,3,6,1,4] => 01010 => 2
[2,5,3,6,4,1] => 01011 => 1
[2,5,4,1,3,6] => 01100 => 1
[2,5,4,1,6,3] => 01101 => 1
[2,5,4,3,1,6] => 01110 => 1
[2,5,4,3,6,1] => 01101 => 1
[2,5,4,6,1,3] => 01010 => 2
[2,5,4,6,3,1] => 01011 => 1
[2,5,6,1,3,4] => 00100 => 1
[2,5,6,1,4,3] => 00101 => 1
[2,5,6,3,1,4] => 00110 => 1
[2,5,6,3,4,1] => 00101 => 1
[2,5,6,4,1,3] => 00110 => 1
[2,5,6,4,3,1] => 00111 => 0
[2,6,1,3,4,5] => 01000 => 1
[2,6,1,3,5,4] => 01001 => 1
[2,6,1,4,3,5] => 01010 => 2
[2,6,1,4,5,3] => 01001 => 1
[2,6,1,5,3,4] => 01010 => 2
[2,6,1,5,4,3] => 01011 => 1
[2,6,3,1,4,5] => 01100 => 1
[2,6,3,1,5,4] => 01101 => 1
[2,6,3,4,1,5] => 01010 => 2
[2,6,3,4,5,1] => 01001 => 1
[2,6,3,5,1,4] => 01010 => 2
[2,6,3,5,4,1] => 01011 => 1
[2,6,4,1,3,5] => 01100 => 1
[2,6,4,1,5,3] => 01101 => 1
[2,6,4,3,1,5] => 01110 => 1
[2,6,4,3,5,1] => 01101 => 1
[2,6,4,5,1,3] => 01010 => 2
[2,6,4,5,3,1] => 01011 => 1
[2,6,5,1,3,4] => 01100 => 1
[2,6,5,1,4,3] => 01101 => 1
[2,6,5,3,1,4] => 01110 => 1
[2,6,5,3,4,1] => 01101 => 1
[2,6,5,4,1,3] => 01110 => 1
[2,6,5,4,3,1] => 01111 => 0
[3,1,2,4,5,6] => 10000 => 1
[3,1,2,4,6,5] => 10001 => 1
[3,1,2,5,4,6] => 10010 => 2
[3,1,2,5,6,4] => 10001 => 1
[3,1,2,6,4,5] => 10010 => 2
[3,1,2,6,5,4] => 10011 => 1
[3,1,4,2,5,6] => 10100 => 2
[3,1,4,2,6,5] => 10101 => 2
[3,1,4,5,2,6] => 10010 => 2
[3,1,4,5,6,2] => 10001 => 1
[3,1,4,6,2,5] => 10010 => 2
[3,1,4,6,5,2] => 10011 => 1
[3,1,5,2,4,6] => 10100 => 2
[3,1,5,2,6,4] => 10101 => 2
[3,1,5,4,2,6] => 10110 => 2
[3,1,5,4,6,2] => 10101 => 2
[3,1,5,6,2,4] => 10010 => 2
[3,1,5,6,4,2] => 10011 => 1
[3,1,6,2,4,5] => 10100 => 2
[3,1,6,2,5,4] => 10101 => 2
[3,1,6,4,2,5] => 10110 => 2
[3,1,6,4,5,2] => 10101 => 2
[3,1,6,5,2,4] => 10110 => 2
[3,1,6,5,4,2] => 10111 => 1
[3,2,1,4,5,6] => 11000 => 1
[3,2,1,4,6,5] => 11001 => 1
[3,2,1,5,4,6] => 11010 => 2
[3,2,1,5,6,4] => 11001 => 1
[3,2,1,6,4,5] => 11010 => 2
[3,2,1,6,5,4] => 11011 => 1
[3,2,4,1,5,6] => 10100 => 2
[3,2,4,1,6,5] => 10101 => 2
[3,2,4,5,1,6] => 10010 => 2
[3,2,4,5,6,1] => 10001 => 1
[3,2,4,6,1,5] => 10010 => 2
[3,2,4,6,5,1] => 10011 => 1
[3,2,5,1,4,6] => 10100 => 2
[3,2,5,1,6,4] => 10101 => 2
[3,2,5,4,1,6] => 10110 => 2
[3,2,5,4,6,1] => 10101 => 2
[3,2,5,6,1,4] => 10010 => 2
[3,2,5,6,4,1] => 10011 => 1
[3,2,6,1,4,5] => 10100 => 2
[3,2,6,1,5,4] => 10101 => 2
[3,2,6,4,1,5] => 10110 => 2
[3,2,6,4,5,1] => 10101 => 2
[3,2,6,5,1,4] => 10110 => 2
[3,2,6,5,4,1] => 10111 => 1
[3,4,1,2,5,6] => 01000 => 1
[3,4,1,2,6,5] => 01001 => 1
[3,4,1,5,2,6] => 01010 => 2
[3,4,1,5,6,2] => 01001 => 1
[3,4,1,6,2,5] => 01010 => 2
[3,4,1,6,5,2] => 01011 => 1
[3,4,2,1,5,6] => 01100 => 1
[3,4,2,1,6,5] => 01101 => 1
[3,4,2,5,1,6] => 01010 => 2
[3,4,2,5,6,1] => 01001 => 1
[3,4,2,6,1,5] => 01010 => 2
[3,4,2,6,5,1] => 01011 => 1
[3,4,5,1,2,6] => 00100 => 1
[3,4,5,1,6,2] => 00101 => 1
[3,4,5,2,1,6] => 00110 => 1
[3,4,5,2,6,1] => 00101 => 1
[3,4,5,6,1,2] => 00010 => 1
[3,4,5,6,2,1] => 00011 => 0
[3,4,6,1,2,5] => 00100 => 1
[3,4,6,1,5,2] => 00101 => 1
[3,4,6,2,1,5] => 00110 => 1
[3,4,6,2,5,1] => 00101 => 1
[3,4,6,5,1,2] => 00110 => 1
[3,4,6,5,2,1] => 00111 => 0
[3,5,1,2,4,6] => 01000 => 1
[3,5,1,2,6,4] => 01001 => 1
[3,5,1,4,2,6] => 01010 => 2
[3,5,1,4,6,2] => 01001 => 1
[3,5,1,6,2,4] => 01010 => 2
[3,5,1,6,4,2] => 01011 => 1
[3,5,2,1,4,6] => 01100 => 1
[3,5,2,1,6,4] => 01101 => 1
[3,5,2,4,1,6] => 01010 => 2
[3,5,2,4,6,1] => 01001 => 1
[3,5,2,6,1,4] => 01010 => 2
[3,5,2,6,4,1] => 01011 => 1
[3,5,4,1,2,6] => 01100 => 1
[3,5,4,1,6,2] => 01101 => 1
[3,5,4,2,1,6] => 01110 => 1
[3,5,4,2,6,1] => 01101 => 1
[3,5,4,6,1,2] => 01010 => 2
[3,5,4,6,2,1] => 01011 => 1
[3,5,6,1,2,4] => 00100 => 1
[3,5,6,1,4,2] => 00101 => 1
[3,5,6,2,1,4] => 00110 => 1
[3,5,6,2,4,1] => 00101 => 1
[3,5,6,4,1,2] => 00110 => 1
[3,5,6,4,2,1] => 00111 => 0
[3,6,1,2,4,5] => 01000 => 1
[3,6,1,2,5,4] => 01001 => 1
[3,6,1,4,2,5] => 01010 => 2
[3,6,1,4,5,2] => 01001 => 1
[3,6,1,5,2,4] => 01010 => 2
[3,6,1,5,4,2] => 01011 => 1
[3,6,2,1,4,5] => 01100 => 1
[3,6,2,1,5,4] => 01101 => 1
[3,6,2,4,1,5] => 01010 => 2
[3,6,2,4,5,1] => 01001 => 1
[3,6,2,5,1,4] => 01010 => 2
[3,6,2,5,4,1] => 01011 => 1
[3,6,4,1,2,5] => 01100 => 1
[3,6,4,1,5,2] => 01101 => 1
[3,6,4,2,1,5] => 01110 => 1
[3,6,4,2,5,1] => 01101 => 1
[3,6,4,5,1,2] => 01010 => 2
[3,6,4,5,2,1] => 01011 => 1
[3,6,5,1,2,4] => 01100 => 1
[3,6,5,1,4,2] => 01101 => 1
[3,6,5,2,1,4] => 01110 => 1
[3,6,5,2,4,1] => 01101 => 1
[3,6,5,4,1,2] => 01110 => 1
[3,6,5,4,2,1] => 01111 => 0
[4,1,2,3,5,6] => 10000 => 1
[4,1,2,3,6,5] => 10001 => 1
[4,1,2,5,3,6] => 10010 => 2
[4,1,2,5,6,3] => 10001 => 1
[4,1,2,6,3,5] => 10010 => 2
[4,1,2,6,5,3] => 10011 => 1
[4,1,3,2,5,6] => 10100 => 2
[4,1,3,2,6,5] => 10101 => 2
[4,1,3,5,2,6] => 10010 => 2
[4,1,3,5,6,2] => 10001 => 1
[4,1,3,6,2,5] => 10010 => 2
[4,1,3,6,5,2] => 10011 => 1
[4,1,5,2,3,6] => 10100 => 2
[4,1,5,2,6,3] => 10101 => 2
[4,1,5,3,2,6] => 10110 => 2
[4,1,5,3,6,2] => 10101 => 2
[4,1,5,6,2,3] => 10010 => 2
[4,1,5,6,3,2] => 10011 => 1
[4,1,6,2,3,5] => 10100 => 2
[4,1,6,2,5,3] => 10101 => 2
[4,1,6,3,2,5] => 10110 => 2
[4,1,6,3,5,2] => 10101 => 2
[4,1,6,5,2,3] => 10110 => 2
[4,1,6,5,3,2] => 10111 => 1
[4,2,1,3,5,6] => 11000 => 1
[4,2,1,3,6,5] => 11001 => 1
[4,2,1,5,3,6] => 11010 => 2
[4,2,1,5,6,3] => 11001 => 1
[4,2,1,6,3,5] => 11010 => 2
[4,2,1,6,5,3] => 11011 => 1
[4,2,3,1,5,6] => 10100 => 2
[4,2,3,1,6,5] => 10101 => 2
[4,2,3,5,1,6] => 10010 => 2
[4,2,3,5,6,1] => 10001 => 1
[4,2,3,6,1,5] => 10010 => 2
[4,2,3,6,5,1] => 10011 => 1
[4,2,5,1,3,6] => 10100 => 2
[4,2,5,1,6,3] => 10101 => 2
[4,2,5,3,1,6] => 10110 => 2
[4,2,5,3,6,1] => 10101 => 2
[4,2,5,6,1,3] => 10010 => 2
[4,2,5,6,3,1] => 10011 => 1
[4,2,6,1,3,5] => 10100 => 2
[4,2,6,1,5,3] => 10101 => 2
[4,2,6,3,1,5] => 10110 => 2
[4,2,6,3,5,1] => 10101 => 2
[4,2,6,5,1,3] => 10110 => 2
[4,2,6,5,3,1] => 10111 => 1
[4,3,1,2,5,6] => 11000 => 1
[4,3,1,2,6,5] => 11001 => 1
[4,3,1,5,2,6] => 11010 => 2
[4,3,1,5,6,2] => 11001 => 1
[4,3,1,6,2,5] => 11010 => 2
[4,3,1,6,5,2] => 11011 => 1
[4,3,2,1,5,6] => 11100 => 1
[4,3,2,1,6,5] => 11101 => 1
[4,3,2,5,1,6] => 11010 => 2
[4,3,2,5,6,1] => 11001 => 1
[4,3,2,6,1,5] => 11010 => 2
[4,3,2,6,5,1] => 11011 => 1
[4,3,5,1,2,6] => 10100 => 2
[4,3,5,1,6,2] => 10101 => 2
[4,3,5,2,1,6] => 10110 => 2
[4,3,5,2,6,1] => 10101 => 2
[4,3,5,6,1,2] => 10010 => 2
[4,3,5,6,2,1] => 10011 => 1
[4,3,6,1,2,5] => 10100 => 2
[4,3,6,1,5,2] => 10101 => 2
[4,3,6,2,1,5] => 10110 => 2
[4,3,6,2,5,1] => 10101 => 2
[4,3,6,5,1,2] => 10110 => 2
[4,3,6,5,2,1] => 10111 => 1
[4,5,1,2,3,6] => 01000 => 1
[4,5,1,2,6,3] => 01001 => 1
[4,5,1,3,2,6] => 01010 => 2
[4,5,1,3,6,2] => 01001 => 1
[4,5,1,6,2,3] => 01010 => 2
[4,5,1,6,3,2] => 01011 => 1
[4,5,2,1,3,6] => 01100 => 1
[4,5,2,1,6,3] => 01101 => 1
[4,5,2,3,1,6] => 01010 => 2
[4,5,2,3,6,1] => 01001 => 1
[4,5,2,6,1,3] => 01010 => 2
[4,5,2,6,3,1] => 01011 => 1
[4,5,3,1,2,6] => 01100 => 1
[4,5,3,1,6,2] => 01101 => 1
[4,5,3,2,1,6] => 01110 => 1
[4,5,3,2,6,1] => 01101 => 1
[4,5,3,6,1,2] => 01010 => 2
[4,5,3,6,2,1] => 01011 => 1
[4,5,6,1,2,3] => 00100 => 1
[4,5,6,1,3,2] => 00101 => 1
[4,5,6,2,1,3] => 00110 => 1
[4,5,6,2,3,1] => 00101 => 1
[4,5,6,3,1,2] => 00110 => 1
[4,5,6,3,2,1] => 00111 => 0
[4,6,1,2,3,5] => 01000 => 1
[4,6,1,2,5,3] => 01001 => 1
[4,6,1,3,2,5] => 01010 => 2
[4,6,1,3,5,2] => 01001 => 1
[4,6,1,5,2,3] => 01010 => 2
[4,6,1,5,3,2] => 01011 => 1
[4,6,2,1,3,5] => 01100 => 1
[4,6,2,1,5,3] => 01101 => 1
[4,6,2,3,1,5] => 01010 => 2
[4,6,2,3,5,1] => 01001 => 1
[4,6,2,5,1,3] => 01010 => 2
[4,6,2,5,3,1] => 01011 => 1
[4,6,3,1,2,5] => 01100 => 1
[4,6,3,1,5,2] => 01101 => 1
[4,6,3,2,1,5] => 01110 => 1
[4,6,3,2,5,1] => 01101 => 1
[4,6,3,5,1,2] => 01010 => 2
[4,6,3,5,2,1] => 01011 => 1
[4,6,5,1,2,3] => 01100 => 1
[4,6,5,1,3,2] => 01101 => 1
[4,6,5,2,1,3] => 01110 => 1
[4,6,5,2,3,1] => 01101 => 1
[4,6,5,3,1,2] => 01110 => 1
[4,6,5,3,2,1] => 01111 => 0
[5,1,2,3,4,6] => 10000 => 1
[5,1,2,3,6,4] => 10001 => 1
[5,1,2,4,3,6] => 10010 => 2
[5,1,2,4,6,3] => 10001 => 1
[5,1,2,6,3,4] => 10010 => 2
[5,1,2,6,4,3] => 10011 => 1
[5,1,3,2,4,6] => 10100 => 2
[5,1,3,2,6,4] => 10101 => 2
[5,1,3,4,2,6] => 10010 => 2
[5,1,3,4,6,2] => 10001 => 1
[5,1,3,6,2,4] => 10010 => 2
[5,1,3,6,4,2] => 10011 => 1
[5,1,4,2,3,6] => 10100 => 2
[5,1,4,2,6,3] => 10101 => 2
[5,1,4,3,2,6] => 10110 => 2
[5,1,4,3,6,2] => 10101 => 2
[5,1,4,6,2,3] => 10010 => 2
[5,1,4,6,3,2] => 10011 => 1
[5,1,6,2,3,4] => 10100 => 2
[5,1,6,2,4,3] => 10101 => 2
[5,1,6,3,2,4] => 10110 => 2
[5,1,6,3,4,2] => 10101 => 2
[5,1,6,4,2,3] => 10110 => 2
[5,1,6,4,3,2] => 10111 => 1
[5,2,1,3,4,6] => 11000 => 1
[5,2,1,3,6,4] => 11001 => 1
[5,2,1,4,3,6] => 11010 => 2
[5,2,1,4,6,3] => 11001 => 1
[5,2,1,6,3,4] => 11010 => 2
[5,2,1,6,4,3] => 11011 => 1
[5,2,3,1,4,6] => 10100 => 2
[5,2,3,1,6,4] => 10101 => 2
[5,2,3,4,1,6] => 10010 => 2
[5,2,3,4,6,1] => 10001 => 1
[5,2,3,6,1,4] => 10010 => 2
[5,2,3,6,4,1] => 10011 => 1
[5,2,4,1,3,6] => 10100 => 2
[5,2,4,1,6,3] => 10101 => 2
[5,2,4,3,1,6] => 10110 => 2
[5,2,4,3,6,1] => 10101 => 2
[5,2,4,6,1,3] => 10010 => 2
[5,2,4,6,3,1] => 10011 => 1
[5,2,6,1,3,4] => 10100 => 2
[5,2,6,1,4,3] => 10101 => 2
[5,2,6,3,1,4] => 10110 => 2
[5,2,6,3,4,1] => 10101 => 2
[5,2,6,4,1,3] => 10110 => 2
[5,2,6,4,3,1] => 10111 => 1
[5,3,1,2,4,6] => 11000 => 1
[5,3,1,2,6,4] => 11001 => 1
[5,3,1,4,2,6] => 11010 => 2
[5,3,1,4,6,2] => 11001 => 1
[5,3,1,6,2,4] => 11010 => 2
[5,3,1,6,4,2] => 11011 => 1
[5,3,2,1,4,6] => 11100 => 1
[5,3,2,1,6,4] => 11101 => 1
[5,3,2,4,1,6] => 11010 => 2
[5,3,2,4,6,1] => 11001 => 1
[5,3,2,6,1,4] => 11010 => 2
[5,3,2,6,4,1] => 11011 => 1
[5,3,4,1,2,6] => 10100 => 2
[5,3,4,1,6,2] => 10101 => 2
[5,3,4,2,1,6] => 10110 => 2
[5,3,4,2,6,1] => 10101 => 2
[5,3,4,6,1,2] => 10010 => 2
[5,3,4,6,2,1] => 10011 => 1
[5,3,6,1,2,4] => 10100 => 2
[5,3,6,1,4,2] => 10101 => 2
[5,3,6,2,1,4] => 10110 => 2
[5,3,6,2,4,1] => 10101 => 2
[5,3,6,4,1,2] => 10110 => 2
[5,3,6,4,2,1] => 10111 => 1
[5,4,1,2,3,6] => 11000 => 1
[5,4,1,2,6,3] => 11001 => 1
[5,4,1,3,2,6] => 11010 => 2
[5,4,1,3,6,2] => 11001 => 1
[5,4,1,6,2,3] => 11010 => 2
[5,4,1,6,3,2] => 11011 => 1
[5,4,2,1,3,6] => 11100 => 1
[5,4,2,1,6,3] => 11101 => 1
[5,4,2,3,1,6] => 11010 => 2
[5,4,2,3,6,1] => 11001 => 1
[5,4,2,6,1,3] => 11010 => 2
[5,4,2,6,3,1] => 11011 => 1
[5,4,3,1,2,6] => 11100 => 1
[5,4,3,1,6,2] => 11101 => 1
[5,4,3,2,1,6] => 11110 => 1
[5,4,3,2,6,1] => 11101 => 1
[5,4,3,6,1,2] => 11010 => 2
[5,4,3,6,2,1] => 11011 => 1
[5,4,6,1,2,3] => 10100 => 2
[5,4,6,1,3,2] => 10101 => 2
[5,4,6,2,1,3] => 10110 => 2
[5,4,6,2,3,1] => 10101 => 2
[5,4,6,3,1,2] => 10110 => 2
[5,4,6,3,2,1] => 10111 => 1
[5,6,1,2,3,4] => 01000 => 1
[5,6,1,2,4,3] => 01001 => 1
[5,6,1,3,2,4] => 01010 => 2
[5,6,1,3,4,2] => 01001 => 1
[5,6,1,4,2,3] => 01010 => 2
[5,6,1,4,3,2] => 01011 => 1
[5,6,2,1,3,4] => 01100 => 1
[5,6,2,1,4,3] => 01101 => 1
[5,6,2,3,1,4] => 01010 => 2
[5,6,2,3,4,1] => 01001 => 1
[5,6,2,4,1,3] => 01010 => 2
[5,6,2,4,3,1] => 01011 => 1
[5,6,3,1,2,4] => 01100 => 1
[5,6,3,1,4,2] => 01101 => 1
[5,6,3,2,1,4] => 01110 => 1
[5,6,3,2,4,1] => 01101 => 1
[5,6,3,4,1,2] => 01010 => 2
[5,6,3,4,2,1] => 01011 => 1
[5,6,4,1,2,3] => 01100 => 1
[5,6,4,1,3,2] => 01101 => 1
[5,6,4,2,1,3] => 01110 => 1
[5,6,4,2,3,1] => 01101 => 1
[5,6,4,3,1,2] => 01110 => 1
[5,6,4,3,2,1] => 01111 => 0
[6,1,2,3,4,5] => 10000 => 1
[6,1,2,3,5,4] => 10001 => 1
[6,1,2,4,3,5] => 10010 => 2
[6,1,2,4,5,3] => 10001 => 1
[6,1,2,5,3,4] => 10010 => 2
[6,1,2,5,4,3] => 10011 => 1
[6,1,3,2,4,5] => 10100 => 2
[6,1,3,2,5,4] => 10101 => 2
[6,1,3,4,2,5] => 10010 => 2
[6,1,3,4,5,2] => 10001 => 1
[6,1,3,5,2,4] => 10010 => 2
[6,1,3,5,4,2] => 10011 => 1
[6,1,4,2,3,5] => 10100 => 2
[6,1,4,2,5,3] => 10101 => 2
[6,1,4,3,2,5] => 10110 => 2
[6,1,4,3,5,2] => 10101 => 2
[6,1,4,5,2,3] => 10010 => 2
[6,1,4,5,3,2] => 10011 => 1
[6,1,5,2,3,4] => 10100 => 2
[6,1,5,2,4,3] => 10101 => 2
[6,1,5,3,2,4] => 10110 => 2
[6,1,5,3,4,2] => 10101 => 2
[6,1,5,4,2,3] => 10110 => 2
[6,1,5,4,3,2] => 10111 => 1
[6,2,1,3,4,5] => 11000 => 1
[6,2,1,3,5,4] => 11001 => 1
[6,2,1,4,3,5] => 11010 => 2
[6,2,1,4,5,3] => 11001 => 1
[6,2,1,5,3,4] => 11010 => 2
[6,2,1,5,4,3] => 11011 => 1
[6,2,3,1,4,5] => 10100 => 2
[6,2,3,1,5,4] => 10101 => 2
[6,2,3,4,1,5] => 10010 => 2
[6,2,3,4,5,1] => 10001 => 1
[6,2,3,5,1,4] => 10010 => 2
[6,2,3,5,4,1] => 10011 => 1
[6,2,4,1,3,5] => 10100 => 2
[6,2,4,1,5,3] => 10101 => 2
[6,2,4,3,1,5] => 10110 => 2
[6,2,4,3,5,1] => 10101 => 2
[6,2,4,5,1,3] => 10010 => 2
[6,2,4,5,3,1] => 10011 => 1
[6,2,5,1,3,4] => 10100 => 2
[6,2,5,1,4,3] => 10101 => 2
[6,2,5,3,1,4] => 10110 => 2
[6,2,5,3,4,1] => 10101 => 2
[6,2,5,4,1,3] => 10110 => 2
[6,2,5,4,3,1] => 10111 => 1
[6,3,1,2,4,5] => 11000 => 1
[6,3,1,2,5,4] => 11001 => 1
[6,3,1,4,2,5] => 11010 => 2
[6,3,1,4,5,2] => 11001 => 1
[6,3,1,5,2,4] => 11010 => 2
[6,3,1,5,4,2] => 11011 => 1
[6,3,2,1,4,5] => 11100 => 1
[6,3,2,1,5,4] => 11101 => 1
[6,3,2,4,1,5] => 11010 => 2
[6,3,2,4,5,1] => 11001 => 1
[6,3,2,5,1,4] => 11010 => 2
[6,3,2,5,4,1] => 11011 => 1
[6,3,4,1,2,5] => 10100 => 2
[6,3,4,1,5,2] => 10101 => 2
[6,3,4,2,1,5] => 10110 => 2
[6,3,4,2,5,1] => 10101 => 2
[6,3,4,5,1,2] => 10010 => 2
[6,3,4,5,2,1] => 10011 => 1
[6,3,5,1,2,4] => 10100 => 2
[6,3,5,1,4,2] => 10101 => 2
[6,3,5,2,1,4] => 10110 => 2
[6,3,5,2,4,1] => 10101 => 2
[6,3,5,4,1,2] => 10110 => 2
[6,3,5,4,2,1] => 10111 => 1
[6,4,1,2,3,5] => 11000 => 1
[6,4,1,2,5,3] => 11001 => 1
[6,4,1,3,2,5] => 11010 => 2
[6,4,1,3,5,2] => 11001 => 1
[6,4,1,5,2,3] => 11010 => 2
[6,4,1,5,3,2] => 11011 => 1
[6,4,2,1,3,5] => 11100 => 1
[6,4,2,1,5,3] => 11101 => 1
[6,4,2,3,1,5] => 11010 => 2
[6,4,2,3,5,1] => 11001 => 1
[6,4,2,5,1,3] => 11010 => 2
[6,4,2,5,3,1] => 11011 => 1
[6,4,3,1,2,5] => 11100 => 1
[6,4,3,1,5,2] => 11101 => 1
[6,4,3,2,1,5] => 11110 => 1
[6,4,3,2,5,1] => 11101 => 1
[6,4,3,5,1,2] => 11010 => 2
[6,4,3,5,2,1] => 11011 => 1
[6,4,5,1,2,3] => 10100 => 2
[6,4,5,1,3,2] => 10101 => 2
[6,4,5,2,1,3] => 10110 => 2
[6,4,5,2,3,1] => 10101 => 2
[6,4,5,3,1,2] => 10110 => 2
[6,4,5,3,2,1] => 10111 => 1
[6,5,1,2,3,4] => 11000 => 1
[6,5,1,2,4,3] => 11001 => 1
[6,5,1,3,2,4] => 11010 => 2
[6,5,1,3,4,2] => 11001 => 1
[6,5,1,4,2,3] => 11010 => 2
[6,5,1,4,3,2] => 11011 => 1
[6,5,2,1,3,4] => 11100 => 1
[6,5,2,1,4,3] => 11101 => 1
[6,5,2,3,1,4] => 11010 => 2
[6,5,2,3,4,1] => 11001 => 1
[6,5,2,4,1,3] => 11010 => 2
[6,5,2,4,3,1] => 11011 => 1
[6,5,3,1,2,4] => 11100 => 1
[6,5,3,1,4,2] => 11101 => 1
[6,5,3,2,1,4] => 11110 => 1
[6,5,3,2,4,1] => 11101 => 1
[6,5,3,4,1,2] => 11010 => 2
[6,5,3,4,2,1] => 11011 => 1
[6,5,4,1,2,3] => 11100 => 1
[6,5,4,1,3,2] => 11101 => 1
[6,5,4,2,1,3] => 11110 => 1
[6,5,4,2,3,1] => 11101 => 1
[6,5,4,3,1,2] => 11110 => 1
[6,5,4,3,2,1] => 11111 => 0
[1,2,3,4,5,6,7] => 000000 => 0
[1,2,3,4,5,7,6] => 000001 => 0
[1,2,3,4,6,5,7] => 000010 => 1
[1,2,3,4,6,7,5] => 000001 => 0
[1,2,3,4,7,5,6] => 000010 => 1
[1,2,3,4,7,6,5] => 000011 => 0
[1,2,3,5,4,6,7] => 000100 => 1
[1,2,3,5,4,7,6] => 000101 => 1
[1,2,3,5,6,4,7] => 000010 => 1
[1,2,3,5,6,7,4] => 000001 => 0
[1,2,3,5,7,4,6] => 000010 => 1
[1,2,3,5,7,6,4] => 000011 => 0
[1,2,3,6,4,5,7] => 000100 => 1
[1,2,3,6,4,7,5] => 000101 => 1
[1,2,3,6,5,4,7] => 000110 => 1
[1,2,3,6,5,7,4] => 000101 => 1
[1,2,3,6,7,4,5] => 000010 => 1
[1,2,3,6,7,5,4] => 000011 => 0
[1,2,3,7,4,5,6] => 000100 => 1
[1,2,3,7,4,6,5] => 000101 => 1
[1,2,3,7,5,4,6] => 000110 => 1
[1,2,3,7,5,6,4] => 000101 => 1
[1,2,3,7,6,4,5] => 000110 => 1
[1,2,3,7,6,5,4] => 000111 => 0
[1,2,4,3,5,6,7] => 001000 => 1
[1,2,4,3,5,7,6] => 001001 => 1
[1,2,4,3,6,5,7] => 001010 => 2
[1,2,4,3,6,7,5] => 001001 => 1
[1,2,4,3,7,5,6] => 001010 => 2
[1,2,4,3,7,6,5] => 001011 => 1
[1,2,4,5,3,6,7] => 000100 => 1
[1,2,4,5,3,7,6] => 000101 => 1
[1,2,4,5,6,3,7] => 000010 => 1
[1,2,4,5,6,7,3] => 000001 => 0
[1,2,4,5,7,3,6] => 000010 => 1
[1,2,4,5,7,6,3] => 000011 => 0
[1,2,4,6,3,5,7] => 000100 => 1
[1,2,4,6,3,7,5] => 000101 => 1
[1,2,4,6,5,3,7] => 000110 => 1
[1,2,4,6,5,7,3] => 000101 => 1
[1,2,4,6,7,3,5] => 000010 => 1
[1,2,4,6,7,5,3] => 000011 => 0
[1,2,4,7,3,5,6] => 000100 => 1
[1,2,4,7,3,6,5] => 000101 => 1
[1,2,4,7,5,3,6] => 000110 => 1
[1,2,4,7,5,6,3] => 000101 => 1
[1,2,4,7,6,3,5] => 000110 => 1
[1,2,4,7,6,5,3] => 000111 => 0
[1,2,5,3,4,6,7] => 001000 => 1
[1,2,5,3,4,7,6] => 001001 => 1
[1,2,5,3,6,4,7] => 001010 => 2
[1,2,5,3,6,7,4] => 001001 => 1
[1,2,5,3,7,4,6] => 001010 => 2
[1,2,5,3,7,6,4] => 001011 => 1
[1,2,5,4,3,6,7] => 001100 => 1
[1,2,5,4,3,7,6] => 001101 => 1
[1,2,5,4,6,3,7] => 001010 => 2
[1,2,5,4,6,7,3] => 001001 => 1
[1,2,5,4,7,3,6] => 001010 => 2
[1,2,5,4,7,6,3] => 001011 => 1
[1,2,5,6,3,4,7] => 000100 => 1
[1,2,5,6,3,7,4] => 000101 => 1
[1,2,5,6,4,3,7] => 000110 => 1
[1,2,5,6,4,7,3] => 000101 => 1
[1,2,5,6,7,3,4] => 000010 => 1
[1,2,5,6,7,4,3] => 000011 => 0
[1,2,5,7,3,4,6] => 000100 => 1
[1,2,5,7,3,6,4] => 000101 => 1
[1,2,5,7,4,3,6] => 000110 => 1
[1,2,5,7,4,6,3] => 000101 => 1
[1,2,5,7,6,3,4] => 000110 => 1
[1,2,5,7,6,4,3] => 000111 => 0
[1,2,6,3,4,5,7] => 001000 => 1
[1,2,6,3,4,7,5] => 001001 => 1
[1,2,6,3,5,4,7] => 001010 => 2
[1,2,6,3,5,7,4] => 001001 => 1
[1,2,6,3,7,4,5] => 001010 => 2
[1,2,6,3,7,5,4] => 001011 => 1
[1,2,6,4,3,5,7] => 001100 => 1
[1,2,6,4,3,7,5] => 001101 => 1
[1,2,6,4,5,3,7] => 001010 => 2
[1,2,6,4,5,7,3] => 001001 => 1
[1,2,6,4,7,3,5] => 001010 => 2
[1,2,6,4,7,5,3] => 001011 => 1
[1,2,6,5,3,4,7] => 001100 => 1
[1,2,6,5,3,7,4] => 001101 => 1
[1,2,6,5,4,3,7] => 001110 => 1
[1,2,6,5,4,7,3] => 001101 => 1
[1,2,6,5,7,3,4] => 001010 => 2
[1,2,6,5,7,4,3] => 001011 => 1
[1,2,6,7,3,4,5] => 000100 => 1
[1,2,6,7,3,5,4] => 000101 => 1
[1,2,6,7,4,3,5] => 000110 => 1
[1,2,6,7,4,5,3] => 000101 => 1
[1,2,6,7,5,3,4] => 000110 => 1
[1,2,6,7,5,4,3] => 000111 => 0
[1,2,7,3,4,5,6] => 001000 => 1
[1,2,7,3,4,6,5] => 001001 => 1
[1,2,7,3,5,4,6] => 001010 => 2
[1,2,7,3,5,6,4] => 001001 => 1
[1,2,7,3,6,4,5] => 001010 => 2
[1,2,7,3,6,5,4] => 001011 => 1
[1,2,7,4,3,5,6] => 001100 => 1
[1,2,7,4,3,6,5] => 001101 => 1
[1,2,7,4,5,3,6] => 001010 => 2
[1,2,7,4,5,6,3] => 001001 => 1
[1,2,7,4,6,3,5] => 001010 => 2
[1,2,7,4,6,5,3] => 001011 => 1
[1,2,7,5,3,4,6] => 001100 => 1
[1,2,7,5,3,6,4] => 001101 => 1
[1,2,7,5,4,3,6] => 001110 => 1
[1,2,7,5,4,6,3] => 001101 => 1
[1,2,7,5,6,3,4] => 001010 => 2
[1,2,7,5,6,4,3] => 001011 => 1
[1,2,7,6,3,4,5] => 001100 => 1
[1,2,7,6,3,5,4] => 001101 => 1
[1,2,7,6,4,3,5] => 001110 => 1
[1,2,7,6,4,5,3] => 001101 => 1
[1,2,7,6,5,3,4] => 001110 => 1
[1,2,7,6,5,4,3] => 001111 => 0
[1,3,2,4,5,6,7] => 010000 => 1
[1,3,2,4,5,7,6] => 010001 => 1
[1,3,2,4,6,5,7] => 010010 => 2
[1,3,2,4,6,7,5] => 010001 => 1
[1,3,2,4,7,5,6] => 010010 => 2
[1,3,2,4,7,6,5] => 010011 => 1
[1,3,2,5,4,6,7] => 010100 => 2
[1,3,2,5,4,7,6] => 010101 => 2
[1,3,2,5,6,4,7] => 010010 => 2
[1,3,2,5,6,7,4] => 010001 => 1
[1,3,2,5,7,4,6] => 010010 => 2
[1,3,2,5,7,6,4] => 010011 => 1
[1,3,2,6,4,5,7] => 010100 => 2
[1,3,2,6,4,7,5] => 010101 => 2
[1,3,2,6,5,4,7] => 010110 => 2
[1,3,2,6,5,7,4] => 010101 => 2
[1,3,2,6,7,4,5] => 010010 => 2
[1,3,2,6,7,5,4] => 010011 => 1
[1,3,2,7,4,5,6] => 010100 => 2
[1,3,2,7,4,6,5] => 010101 => 2
[1,3,2,7,5,4,6] => 010110 => 2
[1,3,2,7,5,6,4] => 010101 => 2
[1,3,2,7,6,4,5] => 010110 => 2
[1,3,2,7,6,5,4] => 010111 => 1
[1,3,4,2,5,6,7] => 001000 => 1
[1,3,4,2,5,7,6] => 001001 => 1
[1,3,4,2,6,5,7] => 001010 => 2
[1,3,4,2,6,7,5] => 001001 => 1
[1,3,4,2,7,5,6] => 001010 => 2
[1,3,4,2,7,6,5] => 001011 => 1
[1,3,4,5,2,6,7] => 000100 => 1
[1,3,4,5,2,7,6] => 000101 => 1
[1,3,4,5,6,2,7] => 000010 => 1
[1,3,4,5,6,7,2] => 000001 => 0
[1,3,4,5,7,2,6] => 000010 => 1
[1,3,4,5,7,6,2] => 000011 => 0
[1,3,4,6,2,5,7] => 000100 => 1
[1,3,4,6,2,7,5] => 000101 => 1
[1,3,4,6,5,2,7] => 000110 => 1
[1,3,4,6,5,7,2] => 000101 => 1
[1,3,4,6,7,2,5] => 000010 => 1
[1,3,4,6,7,5,2] => 000011 => 0
[1,3,4,7,2,5,6] => 000100 => 1
[1,3,4,7,2,6,5] => 000101 => 1
[1,3,4,7,5,2,6] => 000110 => 1
[1,3,4,7,5,6,2] => 000101 => 1
[1,3,4,7,6,2,5] => 000110 => 1
[1,3,4,7,6,5,2] => 000111 => 0
[1,3,5,2,4,6,7] => 001000 => 1
[1,3,5,2,4,7,6] => 001001 => 1
[1,3,5,2,6,4,7] => 001010 => 2
[1,3,5,2,6,7,4] => 001001 => 1
[1,3,5,2,7,4,6] => 001010 => 2
[1,3,5,2,7,6,4] => 001011 => 1
[1,3,5,4,2,6,7] => 001100 => 1
[1,3,5,4,2,7,6] => 001101 => 1
[1,3,5,4,6,2,7] => 001010 => 2
[1,3,5,4,6,7,2] => 001001 => 1
[1,3,5,4,7,2,6] => 001010 => 2
[1,3,5,4,7,6,2] => 001011 => 1
[1,3,5,6,2,4,7] => 000100 => 1
[1,3,5,6,2,7,4] => 000101 => 1
[1,3,5,6,4,2,7] => 000110 => 1
[1,3,5,6,4,7,2] => 000101 => 1
[1,3,5,6,7,2,4] => 000010 => 1
[1,3,5,6,7,4,2] => 000011 => 0
[1,3,5,7,2,4,6] => 000100 => 1
[1,3,5,7,2,6,4] => 000101 => 1
[1,3,5,7,4,2,6] => 000110 => 1
[1,3,5,7,4,6,2] => 000101 => 1
[1,3,5,7,6,2,4] => 000110 => 1
[1,3,5,7,6,4,2] => 000111 => 0
[1,3,6,2,4,5,7] => 001000 => 1
[1,3,6,2,4,7,5] => 001001 => 1
[1,3,6,2,5,4,7] => 001010 => 2
[1,3,6,2,5,7,4] => 001001 => 1
[1,3,6,2,7,4,5] => 001010 => 2
[1,3,6,2,7,5,4] => 001011 => 1
[1,3,6,4,2,5,7] => 001100 => 1
[1,3,6,4,2,7,5] => 001101 => 1
[1,3,6,4,5,2,7] => 001010 => 2
[1,3,6,4,5,7,2] => 001001 => 1
[1,3,6,4,7,2,5] => 001010 => 2
[1,3,6,4,7,5,2] => 001011 => 1
[1,3,6,5,2,4,7] => 001100 => 1
[1,3,6,5,2,7,4] => 001101 => 1
[1,3,6,5,4,2,7] => 001110 => 1
[1,3,6,5,4,7,2] => 001101 => 1
[1,3,6,5,7,2,4] => 001010 => 2
[1,3,6,5,7,4,2] => 001011 => 1
[1,3,6,7,2,4,5] => 000100 => 1
[1,3,6,7,2,5,4] => 000101 => 1
[1,3,6,7,4,2,5] => 000110 => 1
[1,3,6,7,4,5,2] => 000101 => 1
[1,3,6,7,5,2,4] => 000110 => 1
[1,3,6,7,5,4,2] => 000111 => 0
[1,3,7,2,4,5,6] => 001000 => 1
[1,3,7,2,4,6,5] => 001001 => 1
[1,3,7,2,5,4,6] => 001010 => 2
[1,3,7,2,5,6,4] => 001001 => 1
[1,3,7,2,6,4,5] => 001010 => 2
[1,3,7,2,6,5,4] => 001011 => 1
[1,3,7,4,2,5,6] => 001100 => 1
[1,3,7,4,2,6,5] => 001101 => 1
[1,3,7,4,5,2,6] => 001010 => 2
[1,3,7,4,5,6,2] => 001001 => 1
[1,3,7,4,6,2,5] => 001010 => 2
[1,3,7,4,6,5,2] => 001011 => 1
[1,3,7,5,2,4,6] => 001100 => 1
[1,3,7,5,2,6,4] => 001101 => 1
[1,3,7,5,4,2,6] => 001110 => 1
[1,3,7,5,4,6,2] => 001101 => 1
[1,3,7,5,6,2,4] => 001010 => 2
[1,3,7,5,6,4,2] => 001011 => 1
[1,3,7,6,2,4,5] => 001100 => 1
[1,3,7,6,2,5,4] => 001101 => 1
[1,3,7,6,4,2,5] => 001110 => 1
[1,3,7,6,4,5,2] => 001101 => 1
[1,3,7,6,5,2,4] => 001110 => 1
[1,3,7,6,5,4,2] => 001111 => 0
[1,4,2,3,5,6,7] => 010000 => 1
[1,4,2,3,5,7,6] => 010001 => 1
[1,4,2,3,6,5,7] => 010010 => 2
[1,4,2,3,6,7,5] => 010001 => 1
[1,4,2,3,7,5,6] => 010010 => 2
[1,4,2,3,7,6,5] => 010011 => 1
[1,4,2,5,3,6,7] => 010100 => 2
[1,4,2,5,3,7,6] => 010101 => 2
[1,4,2,5,6,3,7] => 010010 => 2
[1,4,2,5,6,7,3] => 010001 => 1
[1,4,2,5,7,3,6] => 010010 => 2
[1,4,2,5,7,6,3] => 010011 => 1
[1,4,2,6,3,5,7] => 010100 => 2
[1,4,2,6,3,7,5] => 010101 => 2
[1,4,2,6,5,3,7] => 010110 => 2
[1,4,2,6,5,7,3] => 010101 => 2
[1,4,2,6,7,3,5] => 010010 => 2
[1,4,2,6,7,5,3] => 010011 => 1
[1,4,2,7,3,5,6] => 010100 => 2
[1,4,2,7,3,6,5] => 010101 => 2
[1,4,2,7,5,3,6] => 010110 => 2
[1,4,2,7,5,6,3] => 010101 => 2
[1,4,2,7,6,3,5] => 010110 => 2
[1,4,2,7,6,5,3] => 010111 => 1
[1,4,3,2,5,6,7] => 011000 => 1
[1,4,3,2,5,7,6] => 011001 => 1
[1,4,3,2,6,5,7] => 011010 => 2
[1,4,3,2,6,7,5] => 011001 => 1
[1,4,3,2,7,5,6] => 011010 => 2
[1,4,3,2,7,6,5] => 011011 => 1
[1,4,3,5,2,6,7] => 010100 => 2
[1,4,3,5,2,7,6] => 010101 => 2
[1,4,3,5,6,2,7] => 010010 => 2
[1,4,3,5,6,7,2] => 010001 => 1
[1,4,3,5,7,2,6] => 010010 => 2
[1,4,3,5,7,6,2] => 010011 => 1
[1,4,3,6,2,5,7] => 010100 => 2
[1,4,3,6,2,7,5] => 010101 => 2
[1,4,3,6,5,2,7] => 010110 => 2
[1,4,3,6,5,7,2] => 010101 => 2
[1,4,3,6,7,2,5] => 010010 => 2
[1,4,3,6,7,5,2] => 010011 => 1
[1,4,3,7,2,5,6] => 010100 => 2
[1,4,3,7,2,6,5] => 010101 => 2
[1,4,3,7,5,2,6] => 010110 => 2
[1,4,3,7,5,6,2] => 010101 => 2
[1,4,3,7,6,2,5] => 010110 => 2
[1,4,3,7,6,5,2] => 010111 => 1
[1,4,5,2,3,6,7] => 001000 => 1
[1,4,5,2,3,7,6] => 001001 => 1
[1,4,5,2,6,3,7] => 001010 => 2
[1,4,5,2,6,7,3] => 001001 => 1
[1,4,5,2,7,3,6] => 001010 => 2
[1,4,5,2,7,6,3] => 001011 => 1
[1,4,5,3,2,6,7] => 001100 => 1
[1,4,5,3,2,7,6] => 001101 => 1
[1,4,5,3,6,2,7] => 001010 => 2
[1,4,5,3,6,7,2] => 001001 => 1
[1,4,5,3,7,2,6] => 001010 => 2
[1,4,5,3,7,6,2] => 001011 => 1
[1,4,5,6,2,3,7] => 000100 => 1
[1,4,5,6,2,7,3] => 000101 => 1
[1,4,5,6,3,2,7] => 000110 => 1
[1,4,5,6,3,7,2] => 000101 => 1
[1,4,5,6,7,2,3] => 000010 => 1
[1,4,5,6,7,3,2] => 000011 => 0
[1,4,5,7,2,3,6] => 000100 => 1
[1,4,5,7,2,6,3] => 000101 => 1
[1,4,5,7,3,2,6] => 000110 => 1
[1,4,5,7,3,6,2] => 000101 => 1
[1,4,5,7,6,2,3] => 000110 => 1
[1,4,5,7,6,3,2] => 000111 => 0
[1,4,6,2,3,5,7] => 001000 => 1
[1,4,6,2,3,7,5] => 001001 => 1
[1,4,6,2,5,3,7] => 001010 => 2
[1,4,6,2,5,7,3] => 001001 => 1
[1,4,6,2,7,3,5] => 001010 => 2
[1,4,6,2,7,5,3] => 001011 => 1
[1,4,6,3,2,5,7] => 001100 => 1
[1,4,6,3,2,7,5] => 001101 => 1
[1,4,6,3,5,2,7] => 001010 => 2
[1,4,6,3,5,7,2] => 001001 => 1
[1,4,6,3,7,2,5] => 001010 => 2
[1,4,6,3,7,5,2] => 001011 => 1
[1,4,6,5,2,3,7] => 001100 => 1
[1,4,6,5,2,7,3] => 001101 => 1
[1,4,6,5,3,2,7] => 001110 => 1
[1,4,6,5,3,7,2] => 001101 => 1
[1,4,6,5,7,2,3] => 001010 => 2
[1,4,6,5,7,3,2] => 001011 => 1
[1,4,6,7,2,3,5] => 000100 => 1
[1,4,6,7,2,5,3] => 000101 => 1
[1,4,6,7,3,2,5] => 000110 => 1
[1,4,6,7,3,5,2] => 000101 => 1
[1,4,6,7,5,2,3] => 000110 => 1
[1,4,6,7,5,3,2] => 000111 => 0
[1,4,7,2,3,5,6] => 001000 => 1
[1,4,7,2,3,6,5] => 001001 => 1
[1,4,7,2,5,3,6] => 001010 => 2
[1,4,7,2,5,6,3] => 001001 => 1
[1,4,7,2,6,3,5] => 001010 => 2
[1,4,7,2,6,5,3] => 001011 => 1
[1,4,7,3,2,5,6] => 001100 => 1
[1,4,7,3,2,6,5] => 001101 => 1
[1,4,7,3,5,2,6] => 001010 => 2
[1,4,7,3,5,6,2] => 001001 => 1
[1,4,7,3,6,2,5] => 001010 => 2
[1,4,7,3,6,5,2] => 001011 => 1
[1,4,7,5,2,3,6] => 001100 => 1
[1,4,7,5,2,6,3] => 001101 => 1
[1,4,7,5,3,2,6] => 001110 => 1
[1,4,7,5,3,6,2] => 001101 => 1
[1,4,7,5,6,2,3] => 001010 => 2
[1,4,7,5,6,3,2] => 001011 => 1
[1,4,7,6,2,3,5] => 001100 => 1
[1,4,7,6,2,5,3] => 001101 => 1
[1,4,7,6,3,2,5] => 001110 => 1
[1,4,7,6,3,5,2] => 001101 => 1
[1,4,7,6,5,2,3] => 001110 => 1
[1,4,7,6,5,3,2] => 001111 => 0
[1,5,2,3,4,6,7] => 010000 => 1
[1,5,2,3,4,7,6] => 010001 => 1
[1,5,2,3,6,4,7] => 010010 => 2
[1,5,2,3,6,7,4] => 010001 => 1
[1,5,2,3,7,4,6] => 010010 => 2
[1,5,2,3,7,6,4] => 010011 => 1
[1,5,2,4,3,6,7] => 010100 => 2
[1,5,2,4,3,7,6] => 010101 => 2
[1,5,2,4,6,3,7] => 010010 => 2
[1,5,2,4,6,7,3] => 010001 => 1
[1,5,2,4,7,3,6] => 010010 => 2
[1,5,2,4,7,6,3] => 010011 => 1
[1,5,2,6,3,4,7] => 010100 => 2
[1,5,2,6,3,7,4] => 010101 => 2
[1,5,2,6,4,3,7] => 010110 => 2
[1,5,2,6,4,7,3] => 010101 => 2
[1,5,2,6,7,3,4] => 010010 => 2
[1,5,2,6,7,4,3] => 010011 => 1
[1,5,2,7,3,4,6] => 010100 => 2
[1,5,2,7,3,6,4] => 010101 => 2
[1,5,2,7,4,3,6] => 010110 => 2
[1,5,2,7,4,6,3] => 010101 => 2
[1,5,2,7,6,3,4] => 010110 => 2
[1,5,2,7,6,4,3] => 010111 => 1
[1,5,3,2,4,6,7] => 011000 => 1
[1,5,3,2,4,7,6] => 011001 => 1
[1,5,3,2,6,4,7] => 011010 => 2
[1,5,3,2,6,7,4] => 011001 => 1
[1,5,3,2,7,4,6] => 011010 => 2
[1,5,3,2,7,6,4] => 011011 => 1
[1,5,3,4,2,6,7] => 010100 => 2
[1,5,3,4,2,7,6] => 010101 => 2
[1,5,3,4,6,2,7] => 010010 => 2
[1,5,3,4,6,7,2] => 010001 => 1
[1,5,3,4,7,2,6] => 010010 => 2
[1,5,3,4,7,6,2] => 010011 => 1
[1,5,3,6,2,4,7] => 010100 => 2
[1,5,3,6,2,7,4] => 010101 => 2
[1,5,3,6,4,2,7] => 010110 => 2
[1,5,3,6,4,7,2] => 010101 => 2
[1,5,3,6,7,2,4] => 010010 => 2
[1,5,3,6,7,4,2] => 010011 => 1
[1,5,3,7,2,4,6] => 010100 => 2
[1,5,3,7,2,6,4] => 010101 => 2
[1,5,3,7,4,2,6] => 010110 => 2
[1,5,3,7,4,6,2] => 010101 => 2
[1,5,3,7,6,2,4] => 010110 => 2
[1,5,3,7,6,4,2] => 010111 => 1
[1,5,4,2,3,6,7] => 011000 => 1
[1,5,4,2,3,7,6] => 011001 => 1
[1,5,4,2,6,3,7] => 011010 => 2
[1,5,4,2,6,7,3] => 011001 => 1
[1,5,4,2,7,3,6] => 011010 => 2
[1,5,4,2,7,6,3] => 011011 => 1
[1,5,4,3,2,6,7] => 011100 => 1
[1,5,4,3,2,7,6] => 011101 => 1
[1,5,4,3,6,2,7] => 011010 => 2
[1,5,4,3,6,7,2] => 011001 => 1
[1,5,4,3,7,2,6] => 011010 => 2
[1,5,4,3,7,6,2] => 011011 => 1
[1,5,4,6,2,3,7] => 010100 => 2
[1,5,4,6,2,7,3] => 010101 => 2
[1,5,4,6,3,2,7] => 010110 => 2
[1,5,4,6,3,7,2] => 010101 => 2
[1,5,4,6,7,2,3] => 010010 => 2
[1,5,4,6,7,3,2] => 010011 => 1
[1,5,4,7,2,3,6] => 010100 => 2
[1,5,4,7,2,6,3] => 010101 => 2
[1,5,4,7,3,2,6] => 010110 => 2
[1,5,4,7,3,6,2] => 010101 => 2
[1,5,4,7,6,2,3] => 010110 => 2
[1,5,4,7,6,3,2] => 010111 => 1
[1,5,6,2,3,4,7] => 001000 => 1
[1,5,6,2,3,7,4] => 001001 => 1
[1,5,6,2,4,3,7] => 001010 => 2
[1,5,6,2,4,7,3] => 001001 => 1
[1,5,6,2,7,3,4] => 001010 => 2
[1,5,6,2,7,4,3] => 001011 => 1
[1,5,6,3,2,4,7] => 001100 => 1
[1,5,6,3,2,7,4] => 001101 => 1
[1,5,6,3,4,2,7] => 001010 => 2
[1,5,6,3,4,7,2] => 001001 => 1
[1,5,6,3,7,2,4] => 001010 => 2
[1,5,6,3,7,4,2] => 001011 => 1
[1,5,6,4,2,3,7] => 001100 => 1
[1,5,6,4,2,7,3] => 001101 => 1
[1,5,6,4,3,2,7] => 001110 => 1
[1,5,6,4,3,7,2] => 001101 => 1
[1,5,6,4,7,2,3] => 001010 => 2
[1,5,6,4,7,3,2] => 001011 => 1
[1,5,6,7,2,3,4] => 000100 => 1
[1,5,6,7,2,4,3] => 000101 => 1
[1,5,6,7,3,2,4] => 000110 => 1
[1,5,6,7,3,4,2] => 000101 => 1
[1,5,6,7,4,2,3] => 000110 => 1
[1,5,6,7,4,3,2] => 000111 => 0
[1,5,7,2,3,4,6] => 001000 => 1
[1,5,7,2,3,6,4] => 001001 => 1
[1,5,7,2,4,3,6] => 001010 => 2
[1,5,7,2,4,6,3] => 001001 => 1
[1,5,7,2,6,3,4] => 001010 => 2
[1,5,7,2,6,4,3] => 001011 => 1
[1,5,7,3,2,4,6] => 001100 => 1
[1,5,7,3,2,6,4] => 001101 => 1
[1,5,7,3,4,2,6] => 001010 => 2
[1,5,7,3,4,6,2] => 001001 => 1
[1,5,7,3,6,2,4] => 001010 => 2
[1,5,7,3,6,4,2] => 001011 => 1
[1,5,7,4,2,3,6] => 001100 => 1
[1,5,7,4,2,6,3] => 001101 => 1
[1,5,7,4,3,2,6] => 001110 => 1
[1,5,7,4,3,6,2] => 001101 => 1
[1,5,7,4,6,2,3] => 001010 => 2
[1,5,7,4,6,3,2] => 001011 => 1
[1,5,7,6,2,3,4] => 001100 => 1
[1,5,7,6,2,4,3] => 001101 => 1
[1,5,7,6,3,2,4] => 001110 => 1
[1,5,7,6,3,4,2] => 001101 => 1
[1,5,7,6,4,2,3] => 001110 => 1
[1,5,7,6,4,3,2] => 001111 => 0
[1,6,2,3,4,5,7] => 010000 => 1
[1,6,2,3,4,7,5] => 010001 => 1
[1,6,2,3,5,4,7] => 010010 => 2
[1,6,2,3,5,7,4] => 010001 => 1
[1,6,2,3,7,4,5] => 010010 => 2
[1,6,2,3,7,5,4] => 010011 => 1
[1,6,2,4,3,5,7] => 010100 => 2
[1,6,2,4,3,7,5] => 010101 => 2
[1,6,2,4,5,3,7] => 010010 => 2
[1,6,2,4,5,7,3] => 010001 => 1
[1,6,2,4,7,3,5] => 010010 => 2
[1,6,2,4,7,5,3] => 010011 => 1
[1,6,2,5,3,4,7] => 010100 => 2
[1,6,2,5,3,7,4] => 010101 => 2
[1,6,2,5,4,3,7] => 010110 => 2
[1,6,2,5,4,7,3] => 010101 => 2
[1,6,2,5,7,3,4] => 010010 => 2
[1,6,2,5,7,4,3] => 010011 => 1
[1,6,2,7,3,4,5] => 010100 => 2
[1,6,2,7,3,5,4] => 010101 => 2
[1,6,2,7,4,3,5] => 010110 => 2
[1,6,2,7,4,5,3] => 010101 => 2
[1,6,2,7,5,3,4] => 010110 => 2
[1,6,2,7,5,4,3] => 010111 => 1
[1,6,3,2,4,5,7] => 011000 => 1
[1,6,3,2,4,7,5] => 011001 => 1
[1,6,3,2,5,4,7] => 011010 => 2
[1,6,3,2,5,7,4] => 011001 => 1
[1,6,3,2,7,4,5] => 011010 => 2
[1,6,3,2,7,5,4] => 011011 => 1
[1,6,3,4,2,5,7] => 010100 => 2
[1,6,3,4,2,7,5] => 010101 => 2
[1,6,3,4,5,2,7] => 010010 => 2
[1,6,3,4,5,7,2] => 010001 => 1
[1,6,3,4,7,2,5] => 010010 => 2
[1,6,3,4,7,5,2] => 010011 => 1
[1,6,3,5,2,4,7] => 010100 => 2
[1,6,3,5,2,7,4] => 010101 => 2
[1,6,3,5,4,2,7] => 010110 => 2
[1,6,3,5,4,7,2] => 010101 => 2
[1,6,3,5,7,2,4] => 010010 => 2
[1,6,3,5,7,4,2] => 010011 => 1
[1,6,3,7,2,4,5] => 010100 => 2
[1,6,3,7,2,5,4] => 010101 => 2
[1,6,3,7,4,2,5] => 010110 => 2
[1,6,3,7,4,5,2] => 010101 => 2
[1,6,3,7,5,2,4] => 010110 => 2
[1,6,3,7,5,4,2] => 010111 => 1
[1,6,4,2,3,5,7] => 011000 => 1
[1,6,4,2,3,7,5] => 011001 => 1
[1,6,4,2,5,3,7] => 011010 => 2
[1,6,4,2,5,7,3] => 011001 => 1
[1,6,4,2,7,3,5] => 011010 => 2
[1,6,4,2,7,5,3] => 011011 => 1
[1,6,4,3,2,5,7] => 011100 => 1
[1,6,4,3,2,7,5] => 011101 => 1
[1,6,4,3,5,2,7] => 011010 => 2
[1,6,4,3,5,7,2] => 011001 => 1
[1,6,4,3,7,2,5] => 011010 => 2
[1,6,4,3,7,5,2] => 011011 => 1
[1,6,4,5,2,3,7] => 010100 => 2
[1,6,4,5,2,7,3] => 010101 => 2
[1,6,4,5,3,2,7] => 010110 => 2
[1,6,4,5,3,7,2] => 010101 => 2
[1,6,4,5,7,2,3] => 010010 => 2
[1,6,4,5,7,3,2] => 010011 => 1
[1,6,4,7,2,3,5] => 010100 => 2
[1,6,4,7,2,5,3] => 010101 => 2
[1,6,4,7,3,2,5] => 010110 => 2
[1,6,4,7,3,5,2] => 010101 => 2
[1,6,4,7,5,2,3] => 010110 => 2
[1,6,4,7,5,3,2] => 010111 => 1
[1,6,5,2,3,4,7] => 011000 => 1
[1,6,5,2,3,7,4] => 011001 => 1
[1,6,5,2,4,3,7] => 011010 => 2
[1,6,5,2,4,7,3] => 011001 => 1
[1,6,5,2,7,3,4] => 011010 => 2
[1,6,5,2,7,4,3] => 011011 => 1
[1,6,5,3,2,4,7] => 011100 => 1
[1,6,5,3,2,7,4] => 011101 => 1
[1,6,5,3,4,2,7] => 011010 => 2
[1,6,5,3,4,7,2] => 011001 => 1
[1,6,5,3,7,2,4] => 011010 => 2
[1,6,5,3,7,4,2] => 011011 => 1
[1,6,5,4,2,3,7] => 011100 => 1
[1,6,5,4,2,7,3] => 011101 => 1
[1,6,5,4,3,2,7] => 011110 => 1
[1,6,5,4,3,7,2] => 011101 => 1
[1,6,5,4,7,2,3] => 011010 => 2
[1,6,5,4,7,3,2] => 011011 => 1
[1,6,5,7,2,3,4] => 010100 => 2
[1,6,5,7,2,4,3] => 010101 => 2
[1,6,5,7,3,2,4] => 010110 => 2
[1,6,5,7,3,4,2] => 010101 => 2
[1,6,5,7,4,2,3] => 010110 => 2
[1,6,5,7,4,3,2] => 010111 => 1
[1,6,7,2,3,4,5] => 001000 => 1
[1,6,7,2,3,5,4] => 001001 => 1
[1,6,7,2,4,3,5] => 001010 => 2
[1,6,7,2,4,5,3] => 001001 => 1
[1,6,7,2,5,3,4] => 001010 => 2
[1,6,7,2,5,4,3] => 001011 => 1
[1,6,7,3,2,4,5] => 001100 => 1
[1,6,7,3,2,5,4] => 001101 => 1
[1,6,7,3,4,2,5] => 001010 => 2
[1,6,7,3,4,5,2] => 001001 => 1
[1,6,7,3,5,2,4] => 001010 => 2
[1,6,7,3,5,4,2] => 001011 => 1
[1,6,7,4,2,3,5] => 001100 => 1
[1,6,7,4,2,5,3] => 001101 => 1
[1,6,7,4,3,2,5] => 001110 => 1
[1,6,7,4,3,5,2] => 001101 => 1
[1,6,7,4,5,2,3] => 001010 => 2
[1,6,7,4,5,3,2] => 001011 => 1
[1,6,7,5,2,3,4] => 001100 => 1
[1,6,7,5,2,4,3] => 001101 => 1
[1,6,7,5,3,2,4] => 001110 => 1
[1,6,7,5,3,4,2] => 001101 => 1
[1,6,7,5,4,2,3] => 001110 => 1
[1,6,7,5,4,3,2] => 001111 => 0
[1,7,2,3,4,5,6] => 010000 => 1
[1,7,2,3,4,6,5] => 010001 => 1
[1,7,2,3,5,4,6] => 010010 => 2
[1,7,2,3,5,6,4] => 010001 => 1
[1,7,2,3,6,4,5] => 010010 => 2
[1,7,2,3,6,5,4] => 010011 => 1
[1,7,2,4,3,5,6] => 010100 => 2
[1,7,2,4,3,6,5] => 010101 => 2
[1,7,2,4,5,3,6] => 010010 => 2
[1,7,2,4,5,6,3] => 010001 => 1
[1,7,2,4,6,3,5] => 010010 => 2
[1,7,2,4,6,5,3] => 010011 => 1
[1,7,2,5,3,4,6] => 010100 => 2
[1,7,2,5,3,6,4] => 010101 => 2
[1,7,2,5,4,3,6] => 010110 => 2
[1,7,2,5,4,6,3] => 010101 => 2
[1,7,2,5,6,3,4] => 010010 => 2
[1,7,2,5,6,4,3] => 010011 => 1
[1,7,2,6,3,4,5] => 010100 => 2
[1,7,2,6,3,5,4] => 010101 => 2
[1,7,2,6,4,3,5] => 010110 => 2
[1,7,2,6,4,5,3] => 010101 => 2
[1,7,2,6,5,3,4] => 010110 => 2
[1,7,2,6,5,4,3] => 010111 => 1
[1,7,3,2,4,5,6] => 011000 => 1
[1,7,3,2,4,6,5] => 011001 => 1
[1,7,3,2,5,4,6] => 011010 => 2
[1,7,3,2,5,6,4] => 011001 => 1
[1,7,3,2,6,4,5] => 011010 => 2
[1,7,3,2,6,5,4] => 011011 => 1
[1,7,3,4,2,5,6] => 010100 => 2
[1,7,3,4,2,6,5] => 010101 => 2
[1,7,3,4,5,2,6] => 010010 => 2
[1,7,3,4,5,6,2] => 010001 => 1
[1,7,3,4,6,2,5] => 010010 => 2
[1,7,3,4,6,5,2] => 010011 => 1
[1,7,3,5,2,4,6] => 010100 => 2
[1,7,3,5,2,6,4] => 010101 => 2
[1,7,3,5,4,2,6] => 010110 => 2
[1,7,3,5,4,6,2] => 010101 => 2
[1,7,3,5,6,2,4] => 010010 => 2
[1,7,3,5,6,4,2] => 010011 => 1
[1,7,3,6,2,4,5] => 010100 => 2
[1,7,3,6,2,5,4] => 010101 => 2
[1,7,3,6,4,2,5] => 010110 => 2
[1,7,3,6,4,5,2] => 010101 => 2
[1,7,3,6,5,2,4] => 010110 => 2
[1,7,3,6,5,4,2] => 010111 => 1
[1,7,4,2,3,5,6] => 011000 => 1
[1,7,4,2,3,6,5] => 011001 => 1
[1,7,4,2,5,3,6] => 011010 => 2
[1,7,4,2,5,6,3] => 011001 => 1
[1,7,4,2,6,3,5] => 011010 => 2
[1,7,4,2,6,5,3] => 011011 => 1
[1,7,4,3,2,5,6] => 011100 => 1
[1,7,4,3,2,6,5] => 011101 => 1
[1,7,4,3,5,2,6] => 011010 => 2
[1,7,4,3,5,6,2] => 011001 => 1
[1,7,4,3,6,2,5] => 011010 => 2
[1,7,4,3,6,5,2] => 011011 => 1
[1,7,4,5,2,3,6] => 010100 => 2
[1,7,4,5,2,6,3] => 010101 => 2
[1,7,4,5,3,2,6] => 010110 => 2
[1,7,4,5,3,6,2] => 010101 => 2
[1,7,4,5,6,2,3] => 010010 => 2
[1,7,4,5,6,3,2] => 010011 => 1
[1,7,4,6,2,3,5] => 010100 => 2
[1,7,4,6,2,5,3] => 010101 => 2
[1,7,4,6,3,2,5] => 010110 => 2
[1,7,4,6,3,5,2] => 010101 => 2
[1,7,4,6,5,2,3] => 010110 => 2
[1,7,4,6,5,3,2] => 010111 => 1
[1,7,5,2,3,4,6] => 011000 => 1
[1,7,5,2,3,6,4] => 011001 => 1
[1,7,5,2,4,3,6] => 011010 => 2
[1,7,5,2,4,6,3] => 011001 => 1
[1,7,5,2,6,3,4] => 011010 => 2
[1,7,5,2,6,4,3] => 011011 => 1
[1,7,5,3,2,4,6] => 011100 => 1
[1,7,5,3,2,6,4] => 011101 => 1
[1,7,5,3,4,2,6] => 011010 => 2
[1,7,5,3,4,6,2] => 011001 => 1
[1,7,5,3,6,2,4] => 011010 => 2
[1,7,5,3,6,4,2] => 011011 => 1
[1,7,5,4,2,3,6] => 011100 => 1
[1,7,5,4,2,6,3] => 011101 => 1
[1,7,5,4,3,2,6] => 011110 => 1
[1,7,5,4,3,6,2] => 011101 => 1
[1,7,5,4,6,2,3] => 011010 => 2
[1,7,5,4,6,3,2] => 011011 => 1
[1,7,5,6,2,3,4] => 010100 => 2
[1,7,5,6,2,4,3] => 010101 => 2
[1,7,5,6,3,2,4] => 010110 => 2
[1,7,5,6,3,4,2] => 010101 => 2
[1,7,5,6,4,2,3] => 010110 => 2
[1,7,5,6,4,3,2] => 010111 => 1
[1,7,6,2,3,4,5] => 011000 => 1
[1,7,6,2,3,5,4] => 011001 => 1
[1,7,6,2,4,3,5] => 011010 => 2
[1,7,6,2,4,5,3] => 011001 => 1
[1,7,6,2,5,3,4] => 011010 => 2
[1,7,6,2,5,4,3] => 011011 => 1
[1,7,6,3,2,4,5] => 011100 => 1
[1,7,6,3,2,5,4] => 011101 => 1
[1,7,6,3,4,2,5] => 011010 => 2
[1,7,6,3,4,5,2] => 011001 => 1
[1,7,6,3,5,2,4] => 011010 => 2
[1,7,6,3,5,4,2] => 011011 => 1
[1,7,6,4,2,3,5] => 011100 => 1
[1,7,6,4,2,5,3] => 011101 => 1
[1,7,6,4,3,2,5] => 011110 => 1
[1,7,6,4,3,5,2] => 011101 => 1
[1,7,6,4,5,2,3] => 011010 => 2
[1,7,6,4,5,3,2] => 011011 => 1
[1,7,6,5,2,3,4] => 011100 => 1
[1,7,6,5,2,4,3] => 011101 => 1
[1,7,6,5,3,2,4] => 011110 => 1
[1,7,6,5,3,4,2] => 011101 => 1
[1,7,6,5,4,2,3] => 011110 => 1
[1,7,6,5,4,3,2] => 011111 => 0
[2,1,3,4,5,6,7] => 100000 => 1
[2,1,3,4,5,7,6] => 100001 => 1
[2,1,3,4,6,5,7] => 100010 => 2
[2,1,3,4,6,7,5] => 100001 => 1
[2,1,3,4,7,5,6] => 100010 => 2
[2,1,3,4,7,6,5] => 100011 => 1
[2,1,3,5,4,6,7] => 100100 => 2
[2,1,3,5,4,7,6] => 100101 => 2
[2,1,3,5,6,4,7] => 100010 => 2
[2,1,3,5,6,7,4] => 100001 => 1
[2,1,3,5,7,4,6] => 100010 => 2
[2,1,3,5,7,6,4] => 100011 => 1
[2,1,3,6,4,5,7] => 100100 => 2
[2,1,3,6,4,7,5] => 100101 => 2
[2,1,3,6,5,4,7] => 100110 => 2
[2,1,3,6,5,7,4] => 100101 => 2
[2,1,3,6,7,4,5] => 100010 => 2
[2,1,3,6,7,5,4] => 100011 => 1
[2,1,3,7,4,5,6] => 100100 => 2
[2,1,3,7,4,6,5] => 100101 => 2
[2,1,3,7,5,4,6] => 100110 => 2
[2,1,3,7,5,6,4] => 100101 => 2
[2,1,3,7,6,4,5] => 100110 => 2
[2,1,3,7,6,5,4] => 100111 => 1
[2,1,4,3,5,6,7] => 101000 => 2
[2,1,4,3,5,7,6] => 101001 => 2
[2,1,4,3,6,5,7] => 101010 => 3
[2,1,4,3,6,7,5] => 101001 => 2
[2,1,4,3,7,5,6] => 101010 => 3
[2,1,4,3,7,6,5] => 101011 => 2
[2,1,4,5,3,6,7] => 100100 => 2
[2,1,4,5,3,7,6] => 100101 => 2
[2,1,4,5,6,3,7] => 100010 => 2
[2,1,4,5,6,7,3] => 100001 => 1
[2,1,4,5,7,3,6] => 100010 => 2
[2,1,4,5,7,6,3] => 100011 => 1
[2,1,4,6,3,5,7] => 100100 => 2
[2,1,4,6,3,7,5] => 100101 => 2
[2,1,4,6,5,3,7] => 100110 => 2
[2,1,4,6,5,7,3] => 100101 => 2
[2,1,4,6,7,3,5] => 100010 => 2
[2,1,4,6,7,5,3] => 100011 => 1
[2,1,4,7,3,5,6] => 100100 => 2
[2,1,4,7,3,6,5] => 100101 => 2
[2,1,4,7,5,3,6] => 100110 => 2
[2,1,4,7,5,6,3] => 100101 => 2
[2,1,4,7,6,3,5] => 100110 => 2
[2,1,4,7,6,5,3] => 100111 => 1
[2,1,5,3,4,6,7] => 101000 => 2
[2,1,5,3,4,7,6] => 101001 => 2
[2,1,5,3,6,4,7] => 101010 => 3
[2,1,5,3,6,7,4] => 101001 => 2
[2,1,5,3,7,4,6] => 101010 => 3
[2,1,5,3,7,6,4] => 101011 => 2
[2,1,5,4,3,6,7] => 101100 => 2
[2,1,5,4,3,7,6] => 101101 => 2
[2,1,5,4,6,3,7] => 101010 => 3
[2,1,5,4,6,7,3] => 101001 => 2
[2,1,5,4,7,3,6] => 101010 => 3
[2,1,5,4,7,6,3] => 101011 => 2
[2,1,5,6,3,4,7] => 100100 => 2
[2,1,5,6,3,7,4] => 100101 => 2
[2,1,5,6,4,3,7] => 100110 => 2
[2,1,5,6,4,7,3] => 100101 => 2
[2,1,5,6,7,3,4] => 100010 => 2
[2,1,5,6,7,4,3] => 100011 => 1
[2,1,5,7,3,4,6] => 100100 => 2
[2,1,5,7,3,6,4] => 100101 => 2
[2,1,5,7,4,3,6] => 100110 => 2
[2,1,5,7,4,6,3] => 100101 => 2
[2,1,5,7,6,3,4] => 100110 => 2
[2,1,5,7,6,4,3] => 100111 => 1
[2,1,6,3,4,5,7] => 101000 => 2
[2,1,6,3,4,7,5] => 101001 => 2
[2,1,6,3,5,4,7] => 101010 => 3
[2,1,6,3,5,7,4] => 101001 => 2
[2,1,6,3,7,4,5] => 101010 => 3
[2,1,6,3,7,5,4] => 101011 => 2
[2,1,6,4,3,5,7] => 101100 => 2
[2,1,6,4,3,7,5] => 101101 => 2
[2,1,6,4,5,3,7] => 101010 => 3
[2,1,6,4,5,7,3] => 101001 => 2
[2,1,6,4,7,3,5] => 101010 => 3
[2,1,6,4,7,5,3] => 101011 => 2
[2,1,6,5,3,4,7] => 101100 => 2
[2,1,6,5,3,7,4] => 101101 => 2
[2,1,6,5,4,3,7] => 101110 => 2
[2,1,6,5,4,7,3] => 101101 => 2
[2,1,6,5,7,3,4] => 101010 => 3
[2,1,6,5,7,4,3] => 101011 => 2
[2,1,6,7,3,4,5] => 100100 => 2
[2,1,6,7,3,5,4] => 100101 => 2
[2,1,6,7,4,3,5] => 100110 => 2
[2,1,6,7,4,5,3] => 100101 => 2
[2,1,6,7,5,3,4] => 100110 => 2
[2,1,6,7,5,4,3] => 100111 => 1
[2,1,7,3,4,5,6] => 101000 => 2
[2,1,7,3,4,6,5] => 101001 => 2
[2,1,7,3,5,4,6] => 101010 => 3
[2,1,7,3,5,6,4] => 101001 => 2
[2,1,7,3,6,4,5] => 101010 => 3
[2,1,7,3,6,5,4] => 101011 => 2
[2,1,7,4,3,5,6] => 101100 => 2
[2,1,7,4,3,6,5] => 101101 => 2
[2,1,7,4,5,3,6] => 101010 => 3
[2,1,7,4,5,6,3] => 101001 => 2
[2,1,7,4,6,3,5] => 101010 => 3
[2,1,7,4,6,5,3] => 101011 => 2
[2,1,7,5,3,4,6] => 101100 => 2
[2,1,7,5,3,6,4] => 101101 => 2
[2,1,7,5,4,3,6] => 101110 => 2
[2,1,7,5,4,6,3] => 101101 => 2
[2,1,7,5,6,3,4] => 101010 => 3
[2,1,7,5,6,4,3] => 101011 => 2
[2,1,7,6,3,4,5] => 101100 => 2
[2,1,7,6,3,5,4] => 101101 => 2
[2,1,7,6,4,3,5] => 101110 => 2
[2,1,7,6,4,5,3] => 101101 => 2
[2,1,7,6,5,3,4] => 101110 => 2
[2,1,7,6,5,4,3] => 101111 => 1
[2,3,1,4,5,6,7] => 010000 => 1
[2,3,1,4,5,7,6] => 010001 => 1
[2,3,1,4,6,5,7] => 010010 => 2
[2,3,1,4,6,7,5] => 010001 => 1
[2,3,1,4,7,5,6] => 010010 => 2
[2,3,1,4,7,6,5] => 010011 => 1
[2,3,1,5,4,6,7] => 010100 => 2
[2,3,1,5,4,7,6] => 010101 => 2
[2,3,1,5,6,4,7] => 010010 => 2
[2,3,1,5,6,7,4] => 010001 => 1
[2,3,1,5,7,4,6] => 010010 => 2
[2,3,1,5,7,6,4] => 010011 => 1
[2,3,1,6,4,5,7] => 010100 => 2
[2,3,1,6,4,7,5] => 010101 => 2
[2,3,1,6,5,4,7] => 010110 => 2
[2,3,1,6,5,7,4] => 010101 => 2
[2,3,1,6,7,4,5] => 010010 => 2
[2,3,1,6,7,5,4] => 010011 => 1
[2,3,1,7,4,5,6] => 010100 => 2
[2,3,1,7,4,6,5] => 010101 => 2
[2,3,1,7,5,4,6] => 010110 => 2
[2,3,1,7,5,6,4] => 010101 => 2
[2,3,1,7,6,4,5] => 010110 => 2
[2,3,1,7,6,5,4] => 010111 => 1
[2,3,4,1,5,6,7] => 001000 => 1
[2,3,4,1,5,7,6] => 001001 => 1
[2,3,4,1,6,5,7] => 001010 => 2
[2,3,4,1,6,7,5] => 001001 => 1
[2,3,4,1,7,5,6] => 001010 => 2
[2,3,4,1,7,6,5] => 001011 => 1
[2,3,4,5,1,6,7] => 000100 => 1
[2,3,4,5,1,7,6] => 000101 => 1
[2,3,4,5,6,1,7] => 000010 => 1
[2,3,4,5,6,7,1] => 000001 => 0
[2,3,4,5,7,1,6] => 000010 => 1
[2,3,4,5,7,6,1] => 000011 => 0
[2,3,4,6,1,5,7] => 000100 => 1
[2,3,4,6,1,7,5] => 000101 => 1
[2,3,4,6,5,1,7] => 000110 => 1
[2,3,4,6,5,7,1] => 000101 => 1
[2,3,4,6,7,1,5] => 000010 => 1
[2,3,4,6,7,5,1] => 000011 => 0
[2,3,4,7,1,5,6] => 000100 => 1
[2,3,4,7,1,6,5] => 000101 => 1
[2,3,4,7,5,1,6] => 000110 => 1
[2,3,4,7,5,6,1] => 000101 => 1
[2,3,4,7,6,1,5] => 000110 => 1
[2,3,4,7,6,5,1] => 000111 => 0
[2,3,5,1,4,6,7] => 001000 => 1
[2,3,5,1,4,7,6] => 001001 => 1
[2,3,5,1,6,4,7] => 001010 => 2
[2,3,5,1,6,7,4] => 001001 => 1
[2,3,5,1,7,4,6] => 001010 => 2
[2,3,5,1,7,6,4] => 001011 => 1
[2,3,5,4,1,6,7] => 001100 => 1
[2,3,5,4,1,7,6] => 001101 => 1
[2,3,5,4,6,1,7] => 001010 => 2
[2,3,5,4,6,7,1] => 001001 => 1
[2,3,5,4,7,1,6] => 001010 => 2
[2,3,5,4,7,6,1] => 001011 => 1
[2,3,5,6,1,4,7] => 000100 => 1
[2,3,5,6,1,7,4] => 000101 => 1
[2,3,5,6,4,1,7] => 000110 => 1
[2,3,5,6,4,7,1] => 000101 => 1
[2,3,5,6,7,1,4] => 000010 => 1
[2,3,5,6,7,4,1] => 000011 => 0
[2,3,5,7,1,4,6] => 000100 => 1
[2,3,5,7,1,6,4] => 000101 => 1
[2,3,5,7,4,1,6] => 000110 => 1
[2,3,5,7,4,6,1] => 000101 => 1
[2,3,5,7,6,1,4] => 000110 => 1
[2,3,5,7,6,4,1] => 000111 => 0
[2,3,6,1,4,5,7] => 001000 => 1
[2,3,6,1,4,7,5] => 001001 => 1
[2,3,6,1,5,4,7] => 001010 => 2
[2,3,6,1,5,7,4] => 001001 => 1
[2,3,6,1,7,4,5] => 001010 => 2
[2,3,6,1,7,5,4] => 001011 => 1
[2,3,6,4,1,5,7] => 001100 => 1
[2,3,6,4,1,7,5] => 001101 => 1
[2,3,6,4,5,1,7] => 001010 => 2
[2,3,6,4,5,7,1] => 001001 => 1
[2,3,6,4,7,1,5] => 001010 => 2
[2,3,6,4,7,5,1] => 001011 => 1
[2,3,6,5,1,4,7] => 001100 => 1
[2,3,6,5,1,7,4] => 001101 => 1
[2,3,6,5,4,1,7] => 001110 => 1
[2,3,6,5,4,7,1] => 001101 => 1
[2,3,6,5,7,1,4] => 001010 => 2
[2,3,6,5,7,4,1] => 001011 => 1
[2,3,6,7,1,4,5] => 000100 => 1
[2,3,6,7,1,5,4] => 000101 => 1
[2,3,6,7,4,1,5] => 000110 => 1
[2,3,6,7,4,5,1] => 000101 => 1
[2,3,6,7,5,1,4] => 000110 => 1
[2,3,6,7,5,4,1] => 000111 => 0
[2,3,7,1,4,5,6] => 001000 => 1
[2,3,7,1,4,6,5] => 001001 => 1
[2,3,7,1,5,4,6] => 001010 => 2
[2,3,7,1,5,6,4] => 001001 => 1
[2,3,7,1,6,4,5] => 001010 => 2
[2,3,7,1,6,5,4] => 001011 => 1
[2,3,7,4,1,5,6] => 001100 => 1
[2,3,7,4,1,6,5] => 001101 => 1
[2,3,7,4,5,1,6] => 001010 => 2
[2,3,7,4,5,6,1] => 001001 => 1
[2,3,7,4,6,1,5] => 001010 => 2
[2,3,7,4,6,5,1] => 001011 => 1
[2,3,7,5,1,4,6] => 001100 => 1
[2,3,7,5,1,6,4] => 001101 => 1
[2,3,7,5,4,1,6] => 001110 => 1
[2,3,7,5,4,6,1] => 001101 => 1
[2,3,7,5,6,1,4] => 001010 => 2
[2,3,7,5,6,4,1] => 001011 => 1
[2,3,7,6,1,4,5] => 001100 => 1
[2,3,7,6,1,5,4] => 001101 => 1
[2,3,7,6,4,1,5] => 001110 => 1
[2,3,7,6,4,5,1] => 001101 => 1
[2,3,7,6,5,1,4] => 001110 => 1
[2,3,7,6,5,4,1] => 001111 => 0
[2,4,1,3,5,6,7] => 010000 => 1
[2,4,1,3,5,7,6] => 010001 => 1
[2,4,1,3,6,5,7] => 010010 => 2
[2,4,1,3,6,7,5] => 010001 => 1
[2,4,1,3,7,5,6] => 010010 => 2
[2,4,1,3,7,6,5] => 010011 => 1
[2,4,1,5,3,6,7] => 010100 => 2
[2,4,1,5,3,7,6] => 010101 => 2
[2,4,1,5,6,3,7] => 010010 => 2
[2,4,1,5,6,7,3] => 010001 => 1
[2,4,1,5,7,3,6] => 010010 => 2
[2,4,1,5,7,6,3] => 010011 => 1
[2,4,1,6,3,5,7] => 010100 => 2
[2,4,1,6,3,7,5] => 010101 => 2
[2,4,1,6,5,3,7] => 010110 => 2
[2,4,1,6,5,7,3] => 010101 => 2
[2,4,1,6,7,3,5] => 010010 => 2
[2,4,1,6,7,5,3] => 010011 => 1
[2,4,1,7,3,5,6] => 010100 => 2
[2,4,1,7,3,6,5] => 010101 => 2
[2,4,1,7,5,3,6] => 010110 => 2
[2,4,1,7,5,6,3] => 010101 => 2
[2,4,1,7,6,3,5] => 010110 => 2
[2,4,1,7,6,5,3] => 010111 => 1
[2,4,3,1,5,6,7] => 011000 => 1
[2,4,3,1,5,7,6] => 011001 => 1
[2,4,3,1,6,5,7] => 011010 => 2
[2,4,3,1,6,7,5] => 011001 => 1
[2,4,3,1,7,5,6] => 011010 => 2
[2,4,3,1,7,6,5] => 011011 => 1
[2,4,3,5,1,6,7] => 010100 => 2
[2,4,3,5,1,7,6] => 010101 => 2
[2,4,3,5,6,1,7] => 010010 => 2
[2,4,3,5,6,7,1] => 010001 => 1
[2,4,3,5,7,1,6] => 010010 => 2
[2,4,3,5,7,6,1] => 010011 => 1
[2,4,3,6,1,5,7] => 010100 => 2
[2,4,3,6,1,7,5] => 010101 => 2
[2,4,3,6,5,1,7] => 010110 => 2
[2,4,3,6,5,7,1] => 010101 => 2
[2,4,3,6,7,1,5] => 010010 => 2
[2,4,3,6,7,5,1] => 010011 => 1
[2,4,3,7,1,5,6] => 010100 => 2
[2,4,3,7,1,6,5] => 010101 => 2
[2,4,3,7,5,1,6] => 010110 => 2
[2,4,3,7,5,6,1] => 010101 => 2
[2,4,3,7,6,1,5] => 010110 => 2
[2,4,3,7,6,5,1] => 010111 => 1
[2,4,5,1,3,6,7] => 001000 => 1
[2,4,5,1,3,7,6] => 001001 => 1
[2,4,5,1,6,3,7] => 001010 => 2
[2,4,5,1,6,7,3] => 001001 => 1
[2,4,5,1,7,3,6] => 001010 => 2
[2,4,5,1,7,6,3] => 001011 => 1
[2,4,5,3,1,6,7] => 001100 => 1
[2,4,5,3,1,7,6] => 001101 => 1
[2,4,5,3,6,1,7] => 001010 => 2
[2,4,5,3,6,7,1] => 001001 => 1
[2,4,5,3,7,1,6] => 001010 => 2
[2,4,5,3,7,6,1] => 001011 => 1
[2,4,5,6,1,3,7] => 000100 => 1
[2,4,5,6,1,7,3] => 000101 => 1
[2,4,5,6,3,1,7] => 000110 => 1
[2,4,5,6,3,7,1] => 000101 => 1
[2,4,5,6,7,1,3] => 000010 => 1
[2,4,5,6,7,3,1] => 000011 => 0
[2,4,5,7,1,3,6] => 000100 => 1
[2,4,5,7,1,6,3] => 000101 => 1
[2,4,5,7,3,1,6] => 000110 => 1
[2,4,5,7,3,6,1] => 000101 => 1
[2,4,5,7,6,1,3] => 000110 => 1
[2,4,5,7,6,3,1] => 000111 => 0
[2,4,6,1,3,5,7] => 001000 => 1
[2,4,6,1,3,7,5] => 001001 => 1
[2,4,6,1,5,3,7] => 001010 => 2
[2,4,6,1,5,7,3] => 001001 => 1
[2,4,6,1,7,3,5] => 001010 => 2
[2,4,6,1,7,5,3] => 001011 => 1
[2,4,6,3,1,5,7] => 001100 => 1
[2,4,6,3,1,7,5] => 001101 => 1
[2,4,6,3,5,1,7] => 001010 => 2
[2,4,6,3,5,7,1] => 001001 => 1
[2,4,6,3,7,1,5] => 001010 => 2
[2,4,6,3,7,5,1] => 001011 => 1
[2,4,6,5,1,3,7] => 001100 => 1
[2,4,6,5,1,7,3] => 001101 => 1
[2,4,6,5,3,1,7] => 001110 => 1
[2,4,6,5,3,7,1] => 001101 => 1
[2,4,6,5,7,1,3] => 001010 => 2
[2,4,6,5,7,3,1] => 001011 => 1
[2,4,6,7,1,3,5] => 000100 => 1
[2,4,6,7,1,5,3] => 000101 => 1
[2,4,6,7,3,1,5] => 000110 => 1
[2,4,6,7,3,5,1] => 000101 => 1
[2,4,6,7,5,1,3] => 000110 => 1
[2,4,6,7,5,3,1] => 000111 => 0
[2,4,7,1,3,5,6] => 001000 => 1
[2,4,7,1,3,6,5] => 001001 => 1
[2,4,7,1,5,3,6] => 001010 => 2
[2,4,7,1,5,6,3] => 001001 => 1
[2,4,7,1,6,3,5] => 001010 => 2
[2,4,7,1,6,5,3] => 001011 => 1
[2,4,7,3,1,5,6] => 001100 => 1
[2,4,7,3,1,6,5] => 001101 => 1
[2,4,7,3,5,1,6] => 001010 => 2
[2,4,7,3,5,6,1] => 001001 => 1
[2,4,7,3,6,1,5] => 001010 => 2
[2,4,7,3,6,5,1] => 001011 => 1
[2,4,7,5,1,3,6] => 001100 => 1
[2,4,7,5,1,6,3] => 001101 => 1
[2,4,7,5,3,1,6] => 001110 => 1
[2,4,7,5,3,6,1] => 001101 => 1
[2,4,7,5,6,1,3] => 001010 => 2
[2,4,7,5,6,3,1] => 001011 => 1
[2,4,7,6,1,3,5] => 001100 => 1
[2,4,7,6,1,5,3] => 001101 => 1
[2,4,7,6,3,1,5] => 001110 => 1
[2,4,7,6,3,5,1] => 001101 => 1
[2,4,7,6,5,1,3] => 001110 => 1
[2,4,7,6,5,3,1] => 001111 => 0
[2,5,1,3,4,6,7] => 010000 => 1
[2,5,1,3,4,7,6] => 010001 => 1
[2,5,1,3,6,4,7] => 010010 => 2
[2,5,1,3,6,7,4] => 010001 => 1
[2,5,1,3,7,4,6] => 010010 => 2
[2,5,1,3,7,6,4] => 010011 => 1
[2,5,1,4,3,6,7] => 010100 => 2
[2,5,1,4,3,7,6] => 010101 => 2
[2,5,1,4,6,3,7] => 010010 => 2
[2,5,1,4,6,7,3] => 010001 => 1
[2,5,1,4,7,3,6] => 010010 => 2
[2,5,1,4,7,6,3] => 010011 => 1
[2,5,1,6,3,4,7] => 010100 => 2
[2,5,1,6,3,7,4] => 010101 => 2
[2,5,1,6,4,3,7] => 010110 => 2
[2,5,1,6,4,7,3] => 010101 => 2
[2,5,1,6,7,3,4] => 010010 => 2
[2,5,1,6,7,4,3] => 010011 => 1
[2,5,1,7,3,4,6] => 010100 => 2
[2,5,1,7,3,6,4] => 010101 => 2
[2,5,1,7,4,3,6] => 010110 => 2
[2,5,1,7,4,6,3] => 010101 => 2
[2,5,1,7,6,3,4] => 010110 => 2
[2,5,1,7,6,4,3] => 010111 => 1
[2,5,3,1,4,6,7] => 011000 => 1
[2,5,3,1,4,7,6] => 011001 => 1
[2,5,3,1,6,4,7] => 011010 => 2
[2,5,3,1,6,7,4] => 011001 => 1
[2,5,3,1,7,4,6] => 011010 => 2
[2,5,3,1,7,6,4] => 011011 => 1
[2,5,3,4,1,6,7] => 010100 => 2
[2,5,3,4,1,7,6] => 010101 => 2
[2,5,3,4,6,1,7] => 010010 => 2
[2,5,3,4,6,7,1] => 010001 => 1
[2,5,3,4,7,1,6] => 010010 => 2
[2,5,3,4,7,6,1] => 010011 => 1
[2,5,3,6,1,4,7] => 010100 => 2
[2,5,3,6,1,7,4] => 010101 => 2
[2,5,3,6,4,1,7] => 010110 => 2
[2,5,3,6,4,7,1] => 010101 => 2
[2,5,3,6,7,1,4] => 010010 => 2
[2,5,3,6,7,4,1] => 010011 => 1
[2,5,3,7,1,4,6] => 010100 => 2
[2,5,3,7,1,6,4] => 010101 => 2
[2,5,3,7,4,1,6] => 010110 => 2
[2,5,3,7,4,6,1] => 010101 => 2
[2,5,3,7,6,1,4] => 010110 => 2
[2,5,3,7,6,4,1] => 010111 => 1
[2,5,4,1,3,6,7] => 011000 => 1
[2,5,4,1,3,7,6] => 011001 => 1
[2,5,4,1,6,3,7] => 011010 => 2
[2,5,4,1,6,7,3] => 011001 => 1
[2,5,4,1,7,3,6] => 011010 => 2
[2,5,4,1,7,6,3] => 011011 => 1
[2,5,4,3,1,6,7] => 011100 => 1
[2,5,4,3,1,7,6] => 011101 => 1
[2,5,4,3,6,1,7] => 011010 => 2
[2,5,4,3,6,7,1] => 011001 => 1
[2,5,4,3,7,1,6] => 011010 => 2
[2,5,4,3,7,6,1] => 011011 => 1
[2,5,4,6,1,3,7] => 010100 => 2
[2,5,4,6,1,7,3] => 010101 => 2
[2,5,4,6,3,1,7] => 010110 => 2
[2,5,4,6,3,7,1] => 010101 => 2
[2,5,4,6,7,1,3] => 010010 => 2
[2,5,4,6,7,3,1] => 010011 => 1
[2,5,4,7,1,3,6] => 010100 => 2
[2,5,4,7,1,6,3] => 010101 => 2
[2,5,4,7,3,1,6] => 010110 => 2
[2,5,4,7,3,6,1] => 010101 => 2
[2,5,4,7,6,1,3] => 010110 => 2
[2,5,4,7,6,3,1] => 010111 => 1
[2,5,6,1,3,4,7] => 001000 => 1
[2,5,6,1,3,7,4] => 001001 => 1
[2,5,6,1,4,3,7] => 001010 => 2
[2,5,6,1,4,7,3] => 001001 => 1
[2,5,6,1,7,3,4] => 001010 => 2
[2,5,6,1,7,4,3] => 001011 => 1
[2,5,6,3,1,4,7] => 001100 => 1
[2,5,6,3,1,7,4] => 001101 => 1
[2,5,6,3,4,1,7] => 001010 => 2
[2,5,6,3,4,7,1] => 001001 => 1
[2,5,6,3,7,1,4] => 001010 => 2
[2,5,6,3,7,4,1] => 001011 => 1
[2,5,6,4,1,3,7] => 001100 => 1
[2,5,6,4,1,7,3] => 001101 => 1
[2,5,6,4,3,1,7] => 001110 => 1
[2,5,6,4,3,7,1] => 001101 => 1
[2,5,6,4,7,1,3] => 001010 => 2
[2,5,6,4,7,3,1] => 001011 => 1
[2,5,6,7,1,3,4] => 000100 => 1
[2,5,6,7,1,4,3] => 000101 => 1
[2,5,6,7,3,1,4] => 000110 => 1
[2,5,6,7,3,4,1] => 000101 => 1
[2,5,6,7,4,1,3] => 000110 => 1
[2,5,6,7,4,3,1] => 000111 => 0
[2,5,7,1,3,4,6] => 001000 => 1
[2,5,7,1,3,6,4] => 001001 => 1
[2,5,7,1,4,3,6] => 001010 => 2
[2,5,7,1,4,6,3] => 001001 => 1
[2,5,7,1,6,3,4] => 001010 => 2
[2,5,7,1,6,4,3] => 001011 => 1
[2,5,7,3,1,4,6] => 001100 => 1
[2,5,7,3,1,6,4] => 001101 => 1
[2,5,7,3,4,1,6] => 001010 => 2
[2,5,7,3,4,6,1] => 001001 => 1
[2,5,7,3,6,1,4] => 001010 => 2
[2,5,7,3,6,4,1] => 001011 => 1
[2,5,7,4,1,3,6] => 001100 => 1
[2,5,7,4,1,6,3] => 001101 => 1
[2,5,7,4,3,1,6] => 001110 => 1
[2,5,7,4,3,6,1] => 001101 => 1
[2,5,7,4,6,1,3] => 001010 => 2
[2,5,7,4,6,3,1] => 001011 => 1
[2,5,7,6,1,3,4] => 001100 => 1
[2,5,7,6,1,4,3] => 001101 => 1
[2,5,7,6,3,1,4] => 001110 => 1
[2,5,7,6,3,4,1] => 001101 => 1
[2,5,7,6,4,1,3] => 001110 => 1
[2,5,7,6,4,3,1] => 001111 => 0
[2,6,1,3,4,5,7] => 010000 => 1
[2,6,1,3,4,7,5] => 010001 => 1
[2,6,1,3,5,4,7] => 010010 => 2
[2,6,1,3,5,7,4] => 010001 => 1
[2,6,1,3,7,4,5] => 010010 => 2
[2,6,1,3,7,5,4] => 010011 => 1
[2,6,1,4,3,5,7] => 010100 => 2
[2,6,1,4,3,7,5] => 010101 => 2
[2,6,1,4,5,3,7] => 010010 => 2
[2,6,1,4,5,7,3] => 010001 => 1
[2,6,1,4,7,3,5] => 010010 => 2
[2,6,1,4,7,5,3] => 010011 => 1
[2,6,1,5,3,4,7] => 010100 => 2
[2,6,1,5,3,7,4] => 010101 => 2
[2,6,1,5,4,3,7] => 010110 => 2
[2,6,1,5,4,7,3] => 010101 => 2
[2,6,1,5,7,3,4] => 010010 => 2
[2,6,1,5,7,4,3] => 010011 => 1
[2,6,1,7,3,4,5] => 010100 => 2
[2,6,1,7,3,5,4] => 010101 => 2
[2,6,1,7,4,3,5] => 010110 => 2
[2,6,1,7,4,5,3] => 010101 => 2
[2,6,1,7,5,3,4] => 010110 => 2
[2,6,1,7,5,4,3] => 010111 => 1
[2,6,3,1,4,5,7] => 011000 => 1
[2,6,3,1,4,7,5] => 011001 => 1
[2,6,3,1,5,4,7] => 011010 => 2
[2,6,3,1,5,7,4] => 011001 => 1
[2,6,3,1,7,4,5] => 011010 => 2
[2,6,3,1,7,5,4] => 011011 => 1
[2,6,3,4,1,5,7] => 010100 => 2
[2,6,3,4,1,7,5] => 010101 => 2
[2,6,3,4,5,1,7] => 010010 => 2
[2,6,3,4,5,7,1] => 010001 => 1
[2,6,3,4,7,1,5] => 010010 => 2
[2,6,3,4,7,5,1] => 010011 => 1
[2,6,3,5,1,4,7] => 010100 => 2
[2,6,3,5,1,7,4] => 010101 => 2
[2,6,3,5,4,1,7] => 010110 => 2
[2,6,3,5,4,7,1] => 010101 => 2
[2,6,3,5,7,1,4] => 010010 => 2
[2,6,3,5,7,4,1] => 010011 => 1
[2,6,3,7,1,4,5] => 010100 => 2
[2,6,3,7,1,5,4] => 010101 => 2
[2,6,3,7,4,1,5] => 010110 => 2
[2,6,3,7,4,5,1] => 010101 => 2
[2,6,3,7,5,1,4] => 010110 => 2
[2,6,3,7,5,4,1] => 010111 => 1
[2,6,4,1,3,5,7] => 011000 => 1
[2,6,4,1,3,7,5] => 011001 => 1
[2,6,4,1,5,3,7] => 011010 => 2
[2,6,4,1,5,7,3] => 011001 => 1
[2,6,4,1,7,3,5] => 011010 => 2
[2,6,4,1,7,5,3] => 011011 => 1
[2,6,4,3,1,5,7] => 011100 => 1
[2,6,4,3,1,7,5] => 011101 => 1
[2,6,4,3,5,1,7] => 011010 => 2
[2,6,4,3,5,7,1] => 011001 => 1
[2,6,4,3,7,1,5] => 011010 => 2
[2,6,4,3,7,5,1] => 011011 => 1
[2,6,4,5,1,3,7] => 010100 => 2
[2,6,4,5,1,7,3] => 010101 => 2
[2,6,4,5,3,1,7] => 010110 => 2
[2,6,4,5,3,7,1] => 010101 => 2
[2,6,4,5,7,1,3] => 010010 => 2
[2,6,4,5,7,3,1] => 010011 => 1
[2,6,4,7,1,3,5] => 010100 => 2
[2,6,4,7,1,5,3] => 010101 => 2
[2,6,4,7,3,1,5] => 010110 => 2
[2,6,4,7,3,5,1] => 010101 => 2
[2,6,4,7,5,1,3] => 010110 => 2
[2,6,4,7,5,3,1] => 010111 => 1
[2,6,5,1,3,4,7] => 011000 => 1
[2,6,5,1,3,7,4] => 011001 => 1
[2,6,5,1,4,3,7] => 011010 => 2
[2,6,5,1,4,7,3] => 011001 => 1
[2,6,5,1,7,3,4] => 011010 => 2
[2,6,5,1,7,4,3] => 011011 => 1
[2,6,5,3,1,4,7] => 011100 => 1
[2,6,5,3,1,7,4] => 011101 => 1
[2,6,5,3,4,1,7] => 011010 => 2
[2,6,5,3,4,7,1] => 011001 => 1
[2,6,5,3,7,1,4] => 011010 => 2
[2,6,5,3,7,4,1] => 011011 => 1
[2,6,5,4,1,3,7] => 011100 => 1
[2,6,5,4,1,7,3] => 011101 => 1
[2,6,5,4,3,1,7] => 011110 => 1
[2,6,5,4,3,7,1] => 011101 => 1
[2,6,5,4,7,1,3] => 011010 => 2
[2,6,5,4,7,3,1] => 011011 => 1
[2,6,5,7,1,3,4] => 010100 => 2
[2,6,5,7,1,4,3] => 010101 => 2
[2,6,5,7,3,1,4] => 010110 => 2
[2,6,5,7,3,4,1] => 010101 => 2
[2,6,5,7,4,1,3] => 010110 => 2
[2,6,5,7,4,3,1] => 010111 => 1
[2,6,7,1,3,4,5] => 001000 => 1
[2,6,7,1,3,5,4] => 001001 => 1
[2,6,7,1,4,3,5] => 001010 => 2
[2,6,7,1,4,5,3] => 001001 => 1
[2,6,7,1,5,3,4] => 001010 => 2
[2,6,7,1,5,4,3] => 001011 => 1
[2,6,7,3,1,4,5] => 001100 => 1
[2,6,7,3,1,5,4] => 001101 => 1
[2,6,7,3,4,1,5] => 001010 => 2
[2,6,7,3,4,5,1] => 001001 => 1
[2,6,7,3,5,1,4] => 001010 => 2
[2,6,7,3,5,4,1] => 001011 => 1
[2,6,7,4,1,3,5] => 001100 => 1
[2,6,7,4,1,5,3] => 001101 => 1
[2,6,7,4,3,1,5] => 001110 => 1
[2,6,7,4,3,5,1] => 001101 => 1
[2,6,7,4,5,1,3] => 001010 => 2
[2,6,7,4,5,3,1] => 001011 => 1
[2,6,7,5,1,3,4] => 001100 => 1
[2,6,7,5,1,4,3] => 001101 => 1
[2,6,7,5,3,1,4] => 001110 => 1
[2,6,7,5,3,4,1] => 001101 => 1
[2,6,7,5,4,1,3] => 001110 => 1
[2,6,7,5,4,3,1] => 001111 => 0
[2,7,1,3,4,5,6] => 010000 => 1
[2,7,1,3,4,6,5] => 010001 => 1
[2,7,1,3,5,4,6] => 010010 => 2
[2,7,1,3,5,6,4] => 010001 => 1
[2,7,1,3,6,4,5] => 010010 => 2
[2,7,1,3,6,5,4] => 010011 => 1
[2,7,1,4,3,5,6] => 010100 => 2
[2,7,1,4,3,6,5] => 010101 => 2
[2,7,1,4,5,3,6] => 010010 => 2
[2,7,1,4,5,6,3] => 010001 => 1
[2,7,1,4,6,3,5] => 010010 => 2
[2,7,1,4,6,5,3] => 010011 => 1
[2,7,1,5,3,4,6] => 010100 => 2
[2,7,1,5,3,6,4] => 010101 => 2
[2,7,1,5,4,3,6] => 010110 => 2
[2,7,1,5,4,6,3] => 010101 => 2
[2,7,1,5,6,3,4] => 010010 => 2
[2,7,1,5,6,4,3] => 010011 => 1
[2,7,1,6,3,4,5] => 010100 => 2
[2,7,1,6,3,5,4] => 010101 => 2
[2,7,1,6,4,3,5] => 010110 => 2
[2,7,1,6,4,5,3] => 010101 => 2
[2,7,1,6,5,3,4] => 010110 => 2
[2,7,1,6,5,4,3] => 010111 => 1
[2,7,3,1,4,5,6] => 011000 => 1
[2,7,3,1,4,6,5] => 011001 => 1
[2,7,3,1,5,4,6] => 011010 => 2
[2,7,3,1,5,6,4] => 011001 => 1
[2,7,3,1,6,4,5] => 011010 => 2
[2,7,3,1,6,5,4] => 011011 => 1
[2,7,3,4,1,5,6] => 010100 => 2
[2,7,3,4,1,6,5] => 010101 => 2
[2,7,3,4,5,1,6] => 010010 => 2
[2,7,3,4,5,6,1] => 010001 => 1
[2,7,3,4,6,1,5] => 010010 => 2
[2,7,3,4,6,5,1] => 010011 => 1
[2,7,3,5,1,4,6] => 010100 => 2
[2,7,3,5,1,6,4] => 010101 => 2
[2,7,3,5,4,1,6] => 010110 => 2
[2,7,3,5,4,6,1] => 010101 => 2
[2,7,3,5,6,1,4] => 010010 => 2
[2,7,3,5,6,4,1] => 010011 => 1
[2,7,3,6,1,4,5] => 010100 => 2
[2,7,3,6,1,5,4] => 010101 => 2
[2,7,3,6,4,1,5] => 010110 => 2
[2,7,3,6,4,5,1] => 010101 => 2
[2,7,3,6,5,1,4] => 010110 => 2
[2,7,3,6,5,4,1] => 010111 => 1
[2,7,4,1,3,5,6] => 011000 => 1
[2,7,4,1,3,6,5] => 011001 => 1
[2,7,4,1,5,3,6] => 011010 => 2
[2,7,4,1,5,6,3] => 011001 => 1
[2,7,4,1,6,3,5] => 011010 => 2
[2,7,4,1,6,5,3] => 011011 => 1
[2,7,4,3,1,5,6] => 011100 => 1
[2,7,4,3,1,6,5] => 011101 => 1
[2,7,4,3,5,1,6] => 011010 => 2
[2,7,4,3,5,6,1] => 011001 => 1
[2,7,4,3,6,1,5] => 011010 => 2
[2,7,4,3,6,5,1] => 011011 => 1
[2,7,4,5,1,3,6] => 010100 => 2
[2,7,4,5,1,6,3] => 010101 => 2
[2,7,4,5,3,1,6] => 010110 => 2
[2,7,4,5,3,6,1] => 010101 => 2
[2,7,4,5,6,1,3] => 010010 => 2
[2,7,4,5,6,3,1] => 010011 => 1
[2,7,4,6,1,3,5] => 010100 => 2
[2,7,4,6,1,5,3] => 010101 => 2
[2,7,4,6,3,1,5] => 010110 => 2
[2,7,4,6,3,5,1] => 010101 => 2
[2,7,4,6,5,1,3] => 010110 => 2
[2,7,4,6,5,3,1] => 010111 => 1
[2,7,5,1,3,4,6] => 011000 => 1
[2,7,5,1,3,6,4] => 011001 => 1
[2,7,5,1,4,3,6] => 011010 => 2
[2,7,5,1,4,6,3] => 011001 => 1
[2,7,5,1,6,3,4] => 011010 => 2
[2,7,5,1,6,4,3] => 011011 => 1
[2,7,5,3,1,4,6] => 011100 => 1
[2,7,5,3,1,6,4] => 011101 => 1
[2,7,5,3,4,1,6] => 011010 => 2
[2,7,5,3,4,6,1] => 011001 => 1
[2,7,5,3,6,1,4] => 011010 => 2
[2,7,5,3,6,4,1] => 011011 => 1
[2,7,5,4,1,3,6] => 011100 => 1
[2,7,5,4,1,6,3] => 011101 => 1
[2,7,5,4,3,1,6] => 011110 => 1
[2,7,5,4,3,6,1] => 011101 => 1
[2,7,5,4,6,1,3] => 011010 => 2
[2,7,5,4,6,3,1] => 011011 => 1
[2,7,5,6,1,3,4] => 010100 => 2
[2,7,5,6,1,4,3] => 010101 => 2
[2,7,5,6,3,1,4] => 010110 => 2
[2,7,5,6,3,4,1] => 010101 => 2
[2,7,5,6,4,1,3] => 010110 => 2
[2,7,5,6,4,3,1] => 010111 => 1
[2,7,6,1,3,4,5] => 011000 => 1
[2,7,6,1,3,5,4] => 011001 => 1
[2,7,6,1,4,3,5] => 011010 => 2
[2,7,6,1,4,5,3] => 011001 => 1
[2,7,6,1,5,3,4] => 011010 => 2
[2,7,6,1,5,4,3] => 011011 => 1
[2,7,6,3,1,4,5] => 011100 => 1
[2,7,6,3,1,5,4] => 011101 => 1
[2,7,6,3,4,1,5] => 011010 => 2
[2,7,6,3,4,5,1] => 011001 => 1
[2,7,6,3,5,1,4] => 011010 => 2
[2,7,6,3,5,4,1] => 011011 => 1
[2,7,6,4,1,3,5] => 011100 => 1
[2,7,6,4,1,5,3] => 011101 => 1
[2,7,6,4,3,1,5] => 011110 => 1
[2,7,6,4,3,5,1] => 011101 => 1
[2,7,6,4,5,1,3] => 011010 => 2
[2,7,6,4,5,3,1] => 011011 => 1
[2,7,6,5,1,3,4] => 011100 => 1
[2,7,6,5,1,4,3] => 011101 => 1
[2,7,6,5,3,1,4] => 011110 => 1
[2,7,6,5,3,4,1] => 011101 => 1
[2,7,6,5,4,1,3] => 011110 => 1
[2,7,6,5,4,3,1] => 011111 => 0
[3,1,2,4,5,6,7] => 100000 => 1
[3,1,2,4,5,7,6] => 100001 => 1
[3,1,2,4,6,5,7] => 100010 => 2
[3,1,2,4,6,7,5] => 100001 => 1
[3,1,2,4,7,5,6] => 100010 => 2
[3,1,2,4,7,6,5] => 100011 => 1
[3,1,2,5,4,6,7] => 100100 => 2
[3,1,2,5,4,7,6] => 100101 => 2
[3,1,2,5,6,4,7] => 100010 => 2
[3,1,2,5,6,7,4] => 100001 => 1
[3,1,2,5,7,4,6] => 100010 => 2
[3,1,2,5,7,6,4] => 100011 => 1
[3,1,2,6,4,5,7] => 100100 => 2
[3,1,2,6,4,7,5] => 100101 => 2
[3,1,2,6,5,4,7] => 100110 => 2
[3,1,2,6,5,7,4] => 100101 => 2
[3,1,2,6,7,4,5] => 100010 => 2
[3,1,2,6,7,5,4] => 100011 => 1
[3,1,2,7,4,5,6] => 100100 => 2
[3,1,2,7,4,6,5] => 100101 => 2
[3,1,2,7,5,4,6] => 100110 => 2
[3,1,2,7,5,6,4] => 100101 => 2
[3,1,2,7,6,4,5] => 100110 => 2
[3,1,2,7,6,5,4] => 100111 => 1
[3,1,4,2,5,6,7] => 101000 => 2
[3,1,4,2,5,7,6] => 101001 => 2
[3,1,4,2,6,5,7] => 101010 => 3
[3,1,4,2,6,7,5] => 101001 => 2
[3,1,4,2,7,5,6] => 101010 => 3
[3,1,4,2,7,6,5] => 101011 => 2
[3,1,4,5,2,6,7] => 100100 => 2
[3,1,4,5,2,7,6] => 100101 => 2
[3,1,4,5,6,2,7] => 100010 => 2
[3,1,4,5,6,7,2] => 100001 => 1
[3,1,4,5,7,2,6] => 100010 => 2
[3,1,4,5,7,6,2] => 100011 => 1
[3,1,4,6,2,5,7] => 100100 => 2
[3,1,4,6,2,7,5] => 100101 => 2
[3,1,4,6,5,2,7] => 100110 => 2
[3,1,4,6,5,7,2] => 100101 => 2
[3,1,4,6,7,2,5] => 100010 => 2
[3,1,4,6,7,5,2] => 100011 => 1
[3,1,4,7,2,5,6] => 100100 => 2
[3,1,4,7,2,6,5] => 100101 => 2
[3,1,4,7,5,2,6] => 100110 => 2
[3,1,4,7,5,6,2] => 100101 => 2
[3,1,4,7,6,2,5] => 100110 => 2
[3,1,4,7,6,5,2] => 100111 => 1
[3,1,5,2,4,6,7] => 101000 => 2
[3,1,5,2,4,7,6] => 101001 => 2
[3,1,5,2,6,4,7] => 101010 => 3
[3,1,5,2,6,7,4] => 101001 => 2
[3,1,5,2,7,4,6] => 101010 => 3
[3,1,5,2,7,6,4] => 101011 => 2
[3,1,5,4,2,6,7] => 101100 => 2
[3,1,5,4,2,7,6] => 101101 => 2
[3,1,5,4,6,2,7] => 101010 => 3
[3,1,5,4,6,7,2] => 101001 => 2
[3,1,5,4,7,2,6] => 101010 => 3
[3,1,5,4,7,6,2] => 101011 => 2
[3,1,5,6,2,4,7] => 100100 => 2
[3,1,5,6,2,7,4] => 100101 => 2
[3,1,5,6,4,2,7] => 100110 => 2
[3,1,5,6,4,7,2] => 100101 => 2
[3,1,5,6,7,2,4] => 100010 => 2
[3,1,5,6,7,4,2] => 100011 => 1
[3,1,5,7,2,4,6] => 100100 => 2
[3,1,5,7,2,6,4] => 100101 => 2
[3,1,5,7,4,2,6] => 100110 => 2
[3,1,5,7,4,6,2] => 100101 => 2
[3,1,5,7,6,2,4] => 100110 => 2
[3,1,5,7,6,4,2] => 100111 => 1
[3,1,6,2,4,5,7] => 101000 => 2
[3,1,6,2,4,7,5] => 101001 => 2
[3,1,6,2,5,4,7] => 101010 => 3
[3,1,6,2,5,7,4] => 101001 => 2
[3,1,6,2,7,4,5] => 101010 => 3
[3,1,6,2,7,5,4] => 101011 => 2
[3,1,6,4,2,5,7] => 101100 => 2
[3,1,6,4,2,7,5] => 101101 => 2
[3,1,6,4,5,2,7] => 101010 => 3
[3,1,6,4,5,7,2] => 101001 => 2
[3,1,6,4,7,2,5] => 101010 => 3
[3,1,6,4,7,5,2] => 101011 => 2
[3,1,6,5,2,4,7] => 101100 => 2
[3,1,6,5,2,7,4] => 101101 => 2
[3,1,6,5,4,2,7] => 101110 => 2
[3,1,6,5,4,7,2] => 101101 => 2
[3,1,6,5,7,2,4] => 101010 => 3
[3,1,6,5,7,4,2] => 101011 => 2
[3,1,6,7,2,4,5] => 100100 => 2
[3,1,6,7,2,5,4] => 100101 => 2
[3,1,6,7,4,2,5] => 100110 => 2
[3,1,6,7,4,5,2] => 100101 => 2
[3,1,6,7,5,2,4] => 100110 => 2
[3,1,6,7,5,4,2] => 100111 => 1
[3,1,7,2,4,5,6] => 101000 => 2
[3,1,7,2,4,6,5] => 101001 => 2
[3,1,7,2,5,4,6] => 101010 => 3
[3,1,7,2,5,6,4] => 101001 => 2
[3,1,7,2,6,4,5] => 101010 => 3
[3,1,7,2,6,5,4] => 101011 => 2
[3,1,7,4,2,5,6] => 101100 => 2
[3,1,7,4,2,6,5] => 101101 => 2
[3,1,7,4,5,2,6] => 101010 => 3
[3,1,7,4,5,6,2] => 101001 => 2
[3,1,7,4,6,2,5] => 101010 => 3
[3,1,7,4,6,5,2] => 101011 => 2
[3,1,7,5,2,4,6] => 101100 => 2
[3,1,7,5,2,6,4] => 101101 => 2
[3,1,7,5,4,2,6] => 101110 => 2
[3,1,7,5,4,6,2] => 101101 => 2
[3,1,7,5,6,2,4] => 101010 => 3
[3,1,7,5,6,4,2] => 101011 => 2
[3,1,7,6,2,4,5] => 101100 => 2
[3,1,7,6,2,5,4] => 101101 => 2
[3,1,7,6,4,2,5] => 101110 => 2
[3,1,7,6,4,5,2] => 101101 => 2
[3,1,7,6,5,2,4] => 101110 => 2
[3,1,7,6,5,4,2] => 101111 => 1
[3,2,1,4,5,6,7] => 110000 => 1
[3,2,1,4,5,7,6] => 110001 => 1
[3,2,1,4,6,5,7] => 110010 => 2
[3,2,1,4,6,7,5] => 110001 => 1
[3,2,1,4,7,5,6] => 110010 => 2
[3,2,1,4,7,6,5] => 110011 => 1
[3,2,1,5,4,6,7] => 110100 => 2
[3,2,1,5,4,7,6] => 110101 => 2
[3,2,1,5,6,4,7] => 110010 => 2
[3,2,1,5,6,7,4] => 110001 => 1
[3,2,1,5,7,4,6] => 110010 => 2
[3,2,1,5,7,6,4] => 110011 => 1
[3,2,1,6,4,5,7] => 110100 => 2
[3,2,1,6,4,7,5] => 110101 => 2
[3,2,1,6,5,4,7] => 110110 => 2
[3,2,1,6,5,7,4] => 110101 => 2
[3,2,1,6,7,4,5] => 110010 => 2
[3,2,1,6,7,5,4] => 110011 => 1
[3,2,1,7,4,5,6] => 110100 => 2
[3,2,1,7,4,6,5] => 110101 => 2
[3,2,1,7,5,4,6] => 110110 => 2
[3,2,1,7,5,6,4] => 110101 => 2
[3,2,1,7,6,4,5] => 110110 => 2
[3,2,1,7,6,5,4] => 110111 => 1
[3,2,4,1,5,6,7] => 101000 => 2
[3,2,4,1,5,7,6] => 101001 => 2
[3,2,4,1,6,5,7] => 101010 => 3
[3,2,4,1,6,7,5] => 101001 => 2
[3,2,4,1,7,5,6] => 101010 => 3
[3,2,4,1,7,6,5] => 101011 => 2
[3,2,4,5,1,6,7] => 100100 => 2
[3,2,4,5,1,7,6] => 100101 => 2
[3,2,4,5,6,1,7] => 100010 => 2
[3,2,4,5,6,7,1] => 100001 => 1
[3,2,4,5,7,1,6] => 100010 => 2
[3,2,4,5,7,6,1] => 100011 => 1
[3,2,4,6,1,5,7] => 100100 => 2
[3,2,4,6,1,7,5] => 100101 => 2
[3,2,4,6,5,1,7] => 100110 => 2
[3,2,4,6,5,7,1] => 100101 => 2
[3,2,4,6,7,1,5] => 100010 => 2
[3,2,4,6,7,5,1] => 100011 => 1
[3,2,4,7,1,5,6] => 100100 => 2
[3,2,4,7,1,6,5] => 100101 => 2
[3,2,4,7,5,1,6] => 100110 => 2
[3,2,4,7,5,6,1] => 100101 => 2
[3,2,4,7,6,1,5] => 100110 => 2
[3,2,4,7,6,5,1] => 100111 => 1
[3,2,5,1,4,6,7] => 101000 => 2
[3,2,5,1,4,7,6] => 101001 => 2
[3,2,5,1,6,4,7] => 101010 => 3
[3,2,5,1,6,7,4] => 101001 => 2
[3,2,5,1,7,4,6] => 101010 => 3
[3,2,5,1,7,6,4] => 101011 => 2
[3,2,5,4,1,6,7] => 101100 => 2
[3,2,5,4,1,7,6] => 101101 => 2
[3,2,5,4,6,1,7] => 101010 => 3
[3,2,5,4,6,7,1] => 101001 => 2
[3,2,5,4,7,1,6] => 101010 => 3
[3,2,5,4,7,6,1] => 101011 => 2
[3,2,5,6,1,4,7] => 100100 => 2
[3,2,5,6,1,7,4] => 100101 => 2
[3,2,5,6,4,1,7] => 100110 => 2
[3,2,5,6,4,7,1] => 100101 => 2
[3,2,5,6,7,1,4] => 100010 => 2
[3,2,5,6,7,4,1] => 100011 => 1
[3,2,5,7,1,4,6] => 100100 => 2
[3,2,5,7,1,6,4] => 100101 => 2
[3,2,5,7,4,1,6] => 100110 => 2
[3,2,5,7,4,6,1] => 100101 => 2
[3,2,5,7,6,1,4] => 100110 => 2
[3,2,5,7,6,4,1] => 100111 => 1
[3,2,6,1,4,5,7] => 101000 => 2
[3,2,6,1,4,7,5] => 101001 => 2
[3,2,6,1,5,4,7] => 101010 => 3
[3,2,6,1,5,7,4] => 101001 => 2
[3,2,6,1,7,4,5] => 101010 => 3
[3,2,6,1,7,5,4] => 101011 => 2
[3,2,6,4,1,5,7] => 101100 => 2
[3,2,6,4,1,7,5] => 101101 => 2
[3,2,6,4,5,1,7] => 101010 => 3
[3,2,6,4,5,7,1] => 101001 => 2
[3,2,6,4,7,1,5] => 101010 => 3
[3,2,6,4,7,5,1] => 101011 => 2
[3,2,6,5,1,4,7] => 101100 => 2
[3,2,6,5,1,7,4] => 101101 => 2
[3,2,6,5,4,1,7] => 101110 => 2
[3,2,6,5,4,7,1] => 101101 => 2
[3,2,6,5,7,1,4] => 101010 => 3
[3,2,6,5,7,4,1] => 101011 => 2
[3,2,6,7,1,4,5] => 100100 => 2
[3,2,6,7,1,5,4] => 100101 => 2
[3,2,6,7,4,1,5] => 100110 => 2
[3,2,6,7,4,5,1] => 100101 => 2
[3,2,6,7,5,1,4] => 100110 => 2
[3,2,6,7,5,4,1] => 100111 => 1
[3,2,7,1,4,5,6] => 101000 => 2
[3,2,7,1,4,6,5] => 101001 => 2
[3,2,7,1,5,4,6] => 101010 => 3
[3,2,7,1,5,6,4] => 101001 => 2
[3,2,7,1,6,4,5] => 101010 => 3
[3,2,7,1,6,5,4] => 101011 => 2
[3,2,7,4,1,5,6] => 101100 => 2
[3,2,7,4,1,6,5] => 101101 => 2
[3,2,7,4,5,1,6] => 101010 => 3
[3,2,7,4,5,6,1] => 101001 => 2
[3,2,7,4,6,1,5] => 101010 => 3
[3,2,7,4,6,5,1] => 101011 => 2
[3,2,7,5,1,4,6] => 101100 => 2
[3,2,7,5,1,6,4] => 101101 => 2
[3,2,7,5,4,1,6] => 101110 => 2
[3,2,7,5,4,6,1] => 101101 => 2
[3,2,7,5,6,1,4] => 101010 => 3
[3,2,7,5,6,4,1] => 101011 => 2
[3,2,7,6,1,4,5] => 101100 => 2
[3,2,7,6,1,5,4] => 101101 => 2
[3,2,7,6,4,1,5] => 101110 => 2
[3,2,7,6,4,5,1] => 101101 => 2
[3,2,7,6,5,1,4] => 101110 => 2
[3,2,7,6,5,4,1] => 101111 => 1
[3,4,1,2,5,6,7] => 010000 => 1
[3,4,1,2,5,7,6] => 010001 => 1
[3,4,1,2,6,5,7] => 010010 => 2
[3,4,1,2,6,7,5] => 010001 => 1
[3,4,1,2,7,5,6] => 010010 => 2
[3,4,1,2,7,6,5] => 010011 => 1
[3,4,1,5,2,6,7] => 010100 => 2
[3,4,1,5,2,7,6] => 010101 => 2
[3,4,1,5,6,2,7] => 010010 => 2
[3,4,1,5,6,7,2] => 010001 => 1
[3,4,1,5,7,2,6] => 010010 => 2
[3,4,1,5,7,6,2] => 010011 => 1
[3,4,1,6,2,5,7] => 010100 => 2
[3,4,1,6,2,7,5] => 010101 => 2
[3,4,1,6,5,2,7] => 010110 => 2
[3,4,1,6,5,7,2] => 010101 => 2
[3,4,1,6,7,2,5] => 010010 => 2
[3,4,1,6,7,5,2] => 010011 => 1
[3,4,1,7,2,5,6] => 010100 => 2
[3,4,1,7,2,6,5] => 010101 => 2
[3,4,1,7,5,2,6] => 010110 => 2
[3,4,1,7,5,6,2] => 010101 => 2
[3,4,1,7,6,2,5] => 010110 => 2
[3,4,1,7,6,5,2] => 010111 => 1
[3,4,2,1,5,6,7] => 011000 => 1
[3,4,2,1,5,7,6] => 011001 => 1
[3,4,2,1,6,5,7] => 011010 => 2
[3,4,2,1,6,7,5] => 011001 => 1
[3,4,2,1,7,5,6] => 011010 => 2
[3,4,2,1,7,6,5] => 011011 => 1
[3,4,2,5,1,6,7] => 010100 => 2
[3,4,2,5,1,7,6] => 010101 => 2
[3,4,2,5,6,1,7] => 010010 => 2
[3,4,2,5,6,7,1] => 010001 => 1
[3,4,2,5,7,1,6] => 010010 => 2
[3,4,2,5,7,6,1] => 010011 => 1
[3,4,2,6,1,5,7] => 010100 => 2
[3,4,2,6,1,7,5] => 010101 => 2
[3,4,2,6,5,1,7] => 010110 => 2
[3,4,2,6,5,7,1] => 010101 => 2
[3,4,2,6,7,1,5] => 010010 => 2
[3,4,2,6,7,5,1] => 010011 => 1
[3,4,2,7,1,5,6] => 010100 => 2
[3,4,2,7,1,6,5] => 010101 => 2
[3,4,2,7,5,1,6] => 010110 => 2
[3,4,2,7,5,6,1] => 010101 => 2
[3,4,2,7,6,1,5] => 010110 => 2
[3,4,2,7,6,5,1] => 010111 => 1
[3,4,5,1,2,6,7] => 001000 => 1
[3,4,5,1,2,7,6] => 001001 => 1
[3,4,5,1,6,2,7] => 001010 => 2
[3,4,5,1,6,7,2] => 001001 => 1
[3,4,5,1,7,2,6] => 001010 => 2
[3,4,5,1,7,6,2] => 001011 => 1
[3,4,5,2,1,6,7] => 001100 => 1
[3,4,5,2,1,7,6] => 001101 => 1
[3,4,5,2,6,1,7] => 001010 => 2
[3,4,5,2,6,7,1] => 001001 => 1
[3,4,5,2,7,1,6] => 001010 => 2
[3,4,5,2,7,6,1] => 001011 => 1
[3,4,5,6,1,2,7] => 000100 => 1
[3,4,5,6,1,7,2] => 000101 => 1
[3,4,5,6,2,1,7] => 000110 => 1
[3,4,5,6,2,7,1] => 000101 => 1
[3,4,5,6,7,1,2] => 000010 => 1
[3,4,5,6,7,2,1] => 000011 => 0
[3,4,5,7,1,2,6] => 000100 => 1
[3,4,5,7,1,6,2] => 000101 => 1
[3,4,5,7,2,1,6] => 000110 => 1
[3,4,5,7,2,6,1] => 000101 => 1
[3,4,5,7,6,1,2] => 000110 => 1
[3,4,5,7,6,2,1] => 000111 => 0
[3,4,6,1,2,5,7] => 001000 => 1
[3,4,6,1,2,7,5] => 001001 => 1
[3,4,6,1,5,2,7] => 001010 => 2
[3,4,6,1,5,7,2] => 001001 => 1
[3,4,6,1,7,2,5] => 001010 => 2
[3,4,6,1,7,5,2] => 001011 => 1
[3,4,6,2,1,5,7] => 001100 => 1
[3,4,6,2,1,7,5] => 001101 => 1
[3,4,6,2,5,1,7] => 001010 => 2
[3,4,6,2,5,7,1] => 001001 => 1
[3,4,6,2,7,1,5] => 001010 => 2
[3,4,6,2,7,5,1] => 001011 => 1
[3,4,6,5,1,2,7] => 001100 => 1
[3,4,6,5,1,7,2] => 001101 => 1
[3,4,6,5,2,1,7] => 001110 => 1
[3,4,6,5,2,7,1] => 001101 => 1
[3,4,6,5,7,1,2] => 001010 => 2
[3,4,6,5,7,2,1] => 001011 => 1
[3,4,6,7,1,2,5] => 000100 => 1
[3,4,6,7,1,5,2] => 000101 => 1
[3,4,6,7,2,1,5] => 000110 => 1
[3,4,6,7,2,5,1] => 000101 => 1
[3,4,6,7,5,1,2] => 000110 => 1
[3,4,6,7,5,2,1] => 000111 => 0
[3,4,7,1,2,5,6] => 001000 => 1
[3,4,7,1,2,6,5] => 001001 => 1
[3,4,7,1,5,2,6] => 001010 => 2
[3,4,7,1,5,6,2] => 001001 => 1
[3,4,7,1,6,2,5] => 001010 => 2
[3,4,7,1,6,5,2] => 001011 => 1
[3,4,7,2,1,5,6] => 001100 => 1
[3,4,7,2,1,6,5] => 001101 => 1
[3,4,7,2,5,1,6] => 001010 => 2
[3,4,7,2,5,6,1] => 001001 => 1
[3,4,7,2,6,1,5] => 001010 => 2
[3,4,7,2,6,5,1] => 001011 => 1
[3,4,7,5,1,2,6] => 001100 => 1
[3,4,7,5,1,6,2] => 001101 => 1
[3,4,7,5,2,1,6] => 001110 => 1
[3,4,7,5,2,6,1] => 001101 => 1
[3,4,7,5,6,1,2] => 001010 => 2
[3,4,7,5,6,2,1] => 001011 => 1
[3,4,7,6,1,2,5] => 001100 => 1
[3,4,7,6,1,5,2] => 001101 => 1
[3,4,7,6,2,1,5] => 001110 => 1
[3,4,7,6,2,5,1] => 001101 => 1
[3,4,7,6,5,1,2] => 001110 => 1
[3,4,7,6,5,2,1] => 001111 => 0
[3,5,1,2,4,6,7] => 010000 => 1
[3,5,1,2,4,7,6] => 010001 => 1
[3,5,1,2,6,4,7] => 010010 => 2
[3,5,1,2,6,7,4] => 010001 => 1
[3,5,1,2,7,4,6] => 010010 => 2
[3,5,1,2,7,6,4] => 010011 => 1
[3,5,1,4,2,6,7] => 010100 => 2
[3,5,1,4,2,7,6] => 010101 => 2
[3,5,1,4,6,2,7] => 010010 => 2
[3,5,1,4,6,7,2] => 010001 => 1
[3,5,1,4,7,2,6] => 010010 => 2
[3,5,1,4,7,6,2] => 010011 => 1
[3,5,1,6,2,4,7] => 010100 => 2
[3,5,1,6,2,7,4] => 010101 => 2
[3,5,1,6,4,2,7] => 010110 => 2
[3,5,1,6,4,7,2] => 010101 => 2
[3,5,1,6,7,2,4] => 010010 => 2
[3,5,1,6,7,4,2] => 010011 => 1
[3,5,1,7,2,4,6] => 010100 => 2
[3,5,1,7,2,6,4] => 010101 => 2
[3,5,1,7,4,2,6] => 010110 => 2
[3,5,1,7,4,6,2] => 010101 => 2
[3,5,1,7,6,2,4] => 010110 => 2
[3,5,1,7,6,4,2] => 010111 => 1
[3,5,2,1,4,6,7] => 011000 => 1
[3,5,2,1,4,7,6] => 011001 => 1
[3,5,2,1,6,4,7] => 011010 => 2
[3,5,2,1,6,7,4] => 011001 => 1
[3,5,2,1,7,4,6] => 011010 => 2
[3,5,2,1,7,6,4] => 011011 => 1
[3,5,2,4,1,6,7] => 010100 => 2
[3,5,2,4,1,7,6] => 010101 => 2
[3,5,2,4,6,1,7] => 010010 => 2
[3,5,2,4,6,7,1] => 010001 => 1
[3,5,2,4,7,1,6] => 010010 => 2
[3,5,2,4,7,6,1] => 010011 => 1
[3,5,2,6,1,4,7] => 010100 => 2
[3,5,2,6,1,7,4] => 010101 => 2
[3,5,2,6,4,1,7] => 010110 => 2
[3,5,2,6,4,7,1] => 010101 => 2
[3,5,2,6,7,1,4] => 010010 => 2
[3,5,2,6,7,4,1] => 010011 => 1
[3,5,2,7,1,4,6] => 010100 => 2
[3,5,2,7,1,6,4] => 010101 => 2
[3,5,2,7,4,1,6] => 010110 => 2
[3,5,2,7,4,6,1] => 010101 => 2
[3,5,2,7,6,1,4] => 010110 => 2
[3,5,2,7,6,4,1] => 010111 => 1
[3,5,4,1,2,6,7] => 011000 => 1
[3,5,4,1,2,7,6] => 011001 => 1
[3,5,4,1,6,2,7] => 011010 => 2
[3,5,4,1,6,7,2] => 011001 => 1
[3,5,4,1,7,2,6] => 011010 => 2
[3,5,4,1,7,6,2] => 011011 => 1
[3,5,4,2,1,6,7] => 011100 => 1
[3,5,4,2,1,7,6] => 011101 => 1
[3,5,4,2,6,1,7] => 011010 => 2
[3,5,4,2,6,7,1] => 011001 => 1
[3,5,4,2,7,1,6] => 011010 => 2
[3,5,4,2,7,6,1] => 011011 => 1
[3,5,4,6,1,2,7] => 010100 => 2
[3,5,4,6,1,7,2] => 010101 => 2
[3,5,4,6,2,1,7] => 010110 => 2
[3,5,4,6,2,7,1] => 010101 => 2
[3,5,4,6,7,1,2] => 010010 => 2
[3,5,4,6,7,2,1] => 010011 => 1
[3,5,4,7,1,2,6] => 010100 => 2
[3,5,4,7,1,6,2] => 010101 => 2
[3,5,4,7,2,1,6] => 010110 => 2
[3,5,4,7,2,6,1] => 010101 => 2
[3,5,4,7,6,1,2] => 010110 => 2
[3,5,4,7,6,2,1] => 010111 => 1
[3,5,6,1,2,4,7] => 001000 => 1
[3,5,6,1,2,7,4] => 001001 => 1
[3,5,6,1,4,2,7] => 001010 => 2
[3,5,6,1,4,7,2] => 001001 => 1
[3,5,6,1,7,2,4] => 001010 => 2
[3,5,6,1,7,4,2] => 001011 => 1
[3,5,6,2,1,4,7] => 001100 => 1
[3,5,6,2,1,7,4] => 001101 => 1
[3,5,6,2,4,1,7] => 001010 => 2
[3,5,6,2,4,7,1] => 001001 => 1
[3,5,6,2,7,1,4] => 001010 => 2
[3,5,6,2,7,4,1] => 001011 => 1
[3,5,6,4,1,2,7] => 001100 => 1
[3,5,6,4,1,7,2] => 001101 => 1
[3,5,6,4,2,1,7] => 001110 => 1
[3,5,6,4,2,7,1] => 001101 => 1
[3,5,6,4,7,1,2] => 001010 => 2
[3,5,6,4,7,2,1] => 001011 => 1
[3,5,6,7,1,2,4] => 000100 => 1
[3,5,6,7,1,4,2] => 000101 => 1
[3,5,6,7,2,1,4] => 000110 => 1
[3,5,6,7,2,4,1] => 000101 => 1
[3,5,6,7,4,1,2] => 000110 => 1
[3,5,6,7,4,2,1] => 000111 => 0
[3,5,7,1,2,4,6] => 001000 => 1
[3,5,7,1,2,6,4] => 001001 => 1
[3,5,7,1,4,2,6] => 001010 => 2
[3,5,7,1,4,6,2] => 001001 => 1
[3,5,7,1,6,2,4] => 001010 => 2
[3,5,7,1,6,4,2] => 001011 => 1
[3,5,7,2,1,4,6] => 001100 => 1
[3,5,7,2,1,6,4] => 001101 => 1
[3,5,7,2,4,1,6] => 001010 => 2
[3,5,7,2,4,6,1] => 001001 => 1
[3,5,7,2,6,1,4] => 001010 => 2
[3,5,7,2,6,4,1] => 001011 => 1
[3,5,7,4,1,2,6] => 001100 => 1
[3,5,7,4,1,6,2] => 001101 => 1
[3,5,7,4,2,1,6] => 001110 => 1
[3,5,7,4,2,6,1] => 001101 => 1
[3,5,7,4,6,1,2] => 001010 => 2
[3,5,7,4,6,2,1] => 001011 => 1
[3,5,7,6,1,2,4] => 001100 => 1
[3,5,7,6,1,4,2] => 001101 => 1
[3,5,7,6,2,1,4] => 001110 => 1
[3,5,7,6,2,4,1] => 001101 => 1
[3,5,7,6,4,1,2] => 001110 => 1
[3,5,7,6,4,2,1] => 001111 => 0
[3,6,1,2,4,5,7] => 010000 => 1
[3,6,1,2,4,7,5] => 010001 => 1
[3,6,1,2,5,4,7] => 010010 => 2
[3,6,1,2,5,7,4] => 010001 => 1
[3,6,1,2,7,4,5] => 010010 => 2
[3,6,1,2,7,5,4] => 010011 => 1
[3,6,1,4,2,5,7] => 010100 => 2
[3,6,1,4,2,7,5] => 010101 => 2
[3,6,1,4,5,2,7] => 010010 => 2
[3,6,1,4,5,7,2] => 010001 => 1
[3,6,1,4,7,2,5] => 010010 => 2
[3,6,1,4,7,5,2] => 010011 => 1
[3,6,1,5,2,4,7] => 010100 => 2
[3,6,1,5,2,7,4] => 010101 => 2
[3,6,1,5,4,2,7] => 010110 => 2
[3,6,1,5,4,7,2] => 010101 => 2
[3,6,1,5,7,2,4] => 010010 => 2
[3,6,1,5,7,4,2] => 010011 => 1
[3,6,1,7,2,4,5] => 010100 => 2
[3,6,1,7,2,5,4] => 010101 => 2
[3,6,1,7,4,2,5] => 010110 => 2
[3,6,1,7,4,5,2] => 010101 => 2
[3,6,1,7,5,2,4] => 010110 => 2
[3,6,1,7,5,4,2] => 010111 => 1
[3,6,2,1,4,5,7] => 011000 => 1
[3,6,2,1,4,7,5] => 011001 => 1
[3,6,2,1,5,4,7] => 011010 => 2
[3,6,2,1,5,7,4] => 011001 => 1
[3,6,2,1,7,4,5] => 011010 => 2
[3,6,2,1,7,5,4] => 011011 => 1
[3,6,2,4,1,5,7] => 010100 => 2
[3,6,2,4,1,7,5] => 010101 => 2
[3,6,2,4,5,1,7] => 010010 => 2
[3,6,2,4,5,7,1] => 010001 => 1
[3,6,2,4,7,1,5] => 010010 => 2
[3,6,2,4,7,5,1] => 010011 => 1
[3,6,2,5,1,4,7] => 010100 => 2
[3,6,2,5,1,7,4] => 010101 => 2
[3,6,2,5,4,1,7] => 010110 => 2
[3,6,2,5,4,7,1] => 010101 => 2
[3,6,2,5,7,1,4] => 010010 => 2
[3,6,2,5,7,4,1] => 010011 => 1
[3,6,2,7,1,4,5] => 010100 => 2
[3,6,2,7,1,5,4] => 010101 => 2
[3,6,2,7,4,1,5] => 010110 => 2
[3,6,2,7,4,5,1] => 010101 => 2
[3,6,2,7,5,1,4] => 010110 => 2
[3,6,2,7,5,4,1] => 010111 => 1
[3,6,4,1,2,5,7] => 011000 => 1
[3,6,4,1,2,7,5] => 011001 => 1
[3,6,4,1,5,2,7] => 011010 => 2
[3,6,4,1,5,7,2] => 011001 => 1
[3,6,4,1,7,2,5] => 011010 => 2
[3,6,4,1,7,5,2] => 011011 => 1
[3,6,4,2,1,5,7] => 011100 => 1
[3,6,4,2,1,7,5] => 011101 => 1
[3,6,4,2,5,1,7] => 011010 => 2
[3,6,4,2,5,7,1] => 011001 => 1
[3,6,4,2,7,1,5] => 011010 => 2
[3,6,4,2,7,5,1] => 011011 => 1
[3,6,4,5,1,2,7] => 010100 => 2
[3,6,4,5,1,7,2] => 010101 => 2
[3,6,4,5,2,1,7] => 010110 => 2
[3,6,4,5,2,7,1] => 010101 => 2
[3,6,4,5,7,1,2] => 010010 => 2
[3,6,4,5,7,2,1] => 010011 => 1
[3,6,4,7,1,2,5] => 010100 => 2
[3,6,4,7,1,5,2] => 010101 => 2
[3,6,4,7,2,1,5] => 010110 => 2
[3,6,4,7,2,5,1] => 010101 => 2
[3,6,4,7,5,1,2] => 010110 => 2
[3,6,4,7,5,2,1] => 010111 => 1
[3,6,5,1,2,4,7] => 011000 => 1
[3,6,5,1,2,7,4] => 011001 => 1
[3,6,5,1,4,2,7] => 011010 => 2
[3,6,5,1,4,7,2] => 011001 => 1
[3,6,5,1,7,2,4] => 011010 => 2
[3,6,5,1,7,4,2] => 011011 => 1
[3,6,5,2,1,4,7] => 011100 => 1
[3,6,5,2,1,7,4] => 011101 => 1
[3,6,5,2,4,1,7] => 011010 => 2
[3,6,5,2,4,7,1] => 011001 => 1
[3,6,5,2,7,1,4] => 011010 => 2
[3,6,5,2,7,4,1] => 011011 => 1
[3,6,5,4,1,2,7] => 011100 => 1
[3,6,5,4,1,7,2] => 011101 => 1
[3,6,5,4,2,1,7] => 011110 => 1
[3,6,5,4,2,7,1] => 011101 => 1
[3,6,5,4,7,1,2] => 011010 => 2
[3,6,5,4,7,2,1] => 011011 => 1
[3,6,5,7,1,2,4] => 010100 => 2
[3,6,5,7,1,4,2] => 010101 => 2
[3,6,5,7,2,1,4] => 010110 => 2
[3,6,5,7,2,4,1] => 010101 => 2
[3,6,5,7,4,1,2] => 010110 => 2
[3,6,5,7,4,2,1] => 010111 => 1
[3,6,7,1,2,4,5] => 001000 => 1
[3,6,7,1,2,5,4] => 001001 => 1
[3,6,7,1,4,2,5] => 001010 => 2
[3,6,7,1,4,5,2] => 001001 => 1
[3,6,7,1,5,2,4] => 001010 => 2
[3,6,7,1,5,4,2] => 001011 => 1
[3,6,7,2,1,4,5] => 001100 => 1
[3,6,7,2,1,5,4] => 001101 => 1
[3,6,7,2,4,1,5] => 001010 => 2
[3,6,7,2,4,5,1] => 001001 => 1
[3,6,7,2,5,1,4] => 001010 => 2
[3,6,7,2,5,4,1] => 001011 => 1
[3,6,7,4,1,2,5] => 001100 => 1
[3,6,7,4,1,5,2] => 001101 => 1
[3,6,7,4,2,1,5] => 001110 => 1
[3,6,7,4,2,5,1] => 001101 => 1
[3,6,7,4,5,1,2] => 001010 => 2
[3,6,7,4,5,2,1] => 001011 => 1
[3,6,7,5,1,2,4] => 001100 => 1
[3,6,7,5,1,4,2] => 001101 => 1
[3,6,7,5,2,1,4] => 001110 => 1
[3,6,7,5,2,4,1] => 001101 => 1
[3,6,7,5,4,1,2] => 001110 => 1
[3,6,7,5,4,2,1] => 001111 => 0
[3,7,1,2,4,5,6] => 010000 => 1
[3,7,1,2,4,6,5] => 010001 => 1
[3,7,1,2,5,4,6] => 010010 => 2
[3,7,1,2,5,6,4] => 010001 => 1
[3,7,1,2,6,4,5] => 010010 => 2
[3,7,1,2,6,5,4] => 010011 => 1
[3,7,1,4,2,5,6] => 010100 => 2
[3,7,1,4,2,6,5] => 010101 => 2
[3,7,1,4,5,2,6] => 010010 => 2
[3,7,1,4,5,6,2] => 010001 => 1
[3,7,1,4,6,2,5] => 010010 => 2
[3,7,1,4,6,5,2] => 010011 => 1
[3,7,1,5,2,4,6] => 010100 => 2
[3,7,1,5,2,6,4] => 010101 => 2
[3,7,1,5,4,2,6] => 010110 => 2
[3,7,1,5,4,6,2] => 010101 => 2
[3,7,1,5,6,2,4] => 010010 => 2
[3,7,1,5,6,4,2] => 010011 => 1
[3,7,1,6,2,4,5] => 010100 => 2
[3,7,1,6,2,5,4] => 010101 => 2
[3,7,1,6,4,2,5] => 010110 => 2
[3,7,1,6,4,5,2] => 010101 => 2
[3,7,1,6,5,2,4] => 010110 => 2
[3,7,1,6,5,4,2] => 010111 => 1
[3,7,2,1,4,5,6] => 011000 => 1
[3,7,2,1,4,6,5] => 011001 => 1
[3,7,2,1,5,4,6] => 011010 => 2
[3,7,2,1,5,6,4] => 011001 => 1
[3,7,2,1,6,4,5] => 011010 => 2
[3,7,2,1,6,5,4] => 011011 => 1
[3,7,2,4,1,5,6] => 010100 => 2
[3,7,2,4,1,6,5] => 010101 => 2
[3,7,2,4,5,1,6] => 010010 => 2
[3,7,2,4,5,6,1] => 010001 => 1
[3,7,2,4,6,1,5] => 010010 => 2
[3,7,2,4,6,5,1] => 010011 => 1
[3,7,2,5,1,4,6] => 010100 => 2
[3,7,2,5,1,6,4] => 010101 => 2
[3,7,2,5,4,1,6] => 010110 => 2
[3,7,2,5,4,6,1] => 010101 => 2
[3,7,2,5,6,1,4] => 010010 => 2
[3,7,2,5,6,4,1] => 010011 => 1
[3,7,2,6,1,4,5] => 010100 => 2
[3,7,2,6,1,5,4] => 010101 => 2
[3,7,2,6,4,1,5] => 010110 => 2
[3,7,2,6,4,5,1] => 010101 => 2
[3,7,2,6,5,1,4] => 010110 => 2
[3,7,2,6,5,4,1] => 010111 => 1
[3,7,4,1,2,5,6] => 011000 => 1
[3,7,4,1,2,6,5] => 011001 => 1
[3,7,4,1,5,2,6] => 011010 => 2
[3,7,4,1,5,6,2] => 011001 => 1
[3,7,4,1,6,2,5] => 011010 => 2
[3,7,4,1,6,5,2] => 011011 => 1
[3,7,4,2,1,5,6] => 011100 => 1
[3,7,4,2,1,6,5] => 011101 => 1
[3,7,4,2,5,1,6] => 011010 => 2
[3,7,4,2,5,6,1] => 011001 => 1
[3,7,4,2,6,1,5] => 011010 => 2
[3,7,4,2,6,5,1] => 011011 => 1
[3,7,4,5,1,2,6] => 010100 => 2
[3,7,4,5,1,6,2] => 010101 => 2
[3,7,4,5,2,1,6] => 010110 => 2
[3,7,4,5,2,6,1] => 010101 => 2
[3,7,4,5,6,1,2] => 010010 => 2
[3,7,4,5,6,2,1] => 010011 => 1
[3,7,4,6,1,2,5] => 010100 => 2
[3,7,4,6,1,5,2] => 010101 => 2
[3,7,4,6,2,1,5] => 010110 => 2
[3,7,4,6,2,5,1] => 010101 => 2
[3,7,4,6,5,1,2] => 010110 => 2
[3,7,4,6,5,2,1] => 010111 => 1
[3,7,5,1,2,4,6] => 011000 => 1
[3,7,5,1,2,6,4] => 011001 => 1
[3,7,5,1,4,2,6] => 011010 => 2
[3,7,5,1,4,6,2] => 011001 => 1
[3,7,5,1,6,2,4] => 011010 => 2
[3,7,5,1,6,4,2] => 011011 => 1
[3,7,5,2,1,4,6] => 011100 => 1
[3,7,5,2,1,6,4] => 011101 => 1
[3,7,5,2,4,1,6] => 011010 => 2
[3,7,5,2,4,6,1] => 011001 => 1
[3,7,5,2,6,1,4] => 011010 => 2
[3,7,5,2,6,4,1] => 011011 => 1
[3,7,5,4,1,2,6] => 011100 => 1
[3,7,5,4,1,6,2] => 011101 => 1
[3,7,5,4,2,1,6] => 011110 => 1
[3,7,5,4,2,6,1] => 011101 => 1
[3,7,5,4,6,1,2] => 011010 => 2
[3,7,5,4,6,2,1] => 011011 => 1
[3,7,5,6,1,2,4] => 010100 => 2
[3,7,5,6,1,4,2] => 010101 => 2
[3,7,5,6,2,1,4] => 010110 => 2
[3,7,5,6,2,4,1] => 010101 => 2
[3,7,5,6,4,1,2] => 010110 => 2
[3,7,5,6,4,2,1] => 010111 => 1
[3,7,6,1,2,4,5] => 011000 => 1
[3,7,6,1,2,5,4] => 011001 => 1
[3,7,6,1,4,2,5] => 011010 => 2
[3,7,6,1,4,5,2] => 011001 => 1
[3,7,6,1,5,2,4] => 011010 => 2
[3,7,6,1,5,4,2] => 011011 => 1
[3,7,6,2,1,4,5] => 011100 => 1
[3,7,6,2,1,5,4] => 011101 => 1
[3,7,6,2,4,1,5] => 011010 => 2
[3,7,6,2,4,5,1] => 011001 => 1
[3,7,6,2,5,1,4] => 011010 => 2
[3,7,6,2,5,4,1] => 011011 => 1
[3,7,6,4,1,2,5] => 011100 => 1
[3,7,6,4,1,5,2] => 011101 => 1
[3,7,6,4,2,1,5] => 011110 => 1
[3,7,6,4,2,5,1] => 011101 => 1
[3,7,6,4,5,1,2] => 011010 => 2
[3,7,6,4,5,2,1] => 011011 => 1
[3,7,6,5,1,2,4] => 011100 => 1
[3,7,6,5,1,4,2] => 011101 => 1
[3,7,6,5,2,1,4] => 011110 => 1
[3,7,6,5,2,4,1] => 011101 => 1
[3,7,6,5,4,1,2] => 011110 => 1
[3,7,6,5,4,2,1] => 011111 => 0
[4,1,2,3,5,6,7] => 100000 => 1
[4,1,2,3,5,7,6] => 100001 => 1
[4,1,2,3,6,5,7] => 100010 => 2
[4,1,2,3,6,7,5] => 100001 => 1
[4,1,2,3,7,5,6] => 100010 => 2
[4,1,2,3,7,6,5] => 100011 => 1
[4,1,2,5,3,6,7] => 100100 => 2
[4,1,2,5,3,7,6] => 100101 => 2
[4,1,2,5,6,3,7] => 100010 => 2
[4,1,2,5,6,7,3] => 100001 => 1
[4,1,2,5,7,3,6] => 100010 => 2
[4,1,2,5,7,6,3] => 100011 => 1
[4,1,2,6,3,5,7] => 100100 => 2
[4,1,2,6,3,7,5] => 100101 => 2
[4,1,2,6,5,3,7] => 100110 => 2
[4,1,2,6,5,7,3] => 100101 => 2
[4,1,2,6,7,3,5] => 100010 => 2
[4,1,2,6,7,5,3] => 100011 => 1
[4,1,2,7,3,5,6] => 100100 => 2
[4,1,2,7,3,6,5] => 100101 => 2
[4,1,2,7,5,3,6] => 100110 => 2
[4,1,2,7,5,6,3] => 100101 => 2
[4,1,2,7,6,3,5] => 100110 => 2
[4,1,2,7,6,5,3] => 100111 => 1
[4,1,3,2,5,6,7] => 101000 => 2
[4,1,3,2,5,7,6] => 101001 => 2
[4,1,3,2,6,5,7] => 101010 => 3
[4,1,3,2,6,7,5] => 101001 => 2
[4,1,3,2,7,5,6] => 101010 => 3
[4,1,3,2,7,6,5] => 101011 => 2
[4,1,3,5,2,6,7] => 100100 => 2
[4,1,3,5,2,7,6] => 100101 => 2
[4,1,3,5,6,2,7] => 100010 => 2
[4,1,3,5,6,7,2] => 100001 => 1
[4,1,3,5,7,2,6] => 100010 => 2
[4,1,3,5,7,6,2] => 100011 => 1
[4,1,3,6,2,5,7] => 100100 => 2
[4,1,3,6,2,7,5] => 100101 => 2
[4,1,3,6,5,2,7] => 100110 => 2
[4,1,3,6,5,7,2] => 100101 => 2
[4,1,3,6,7,2,5] => 100010 => 2
[4,1,3,6,7,5,2] => 100011 => 1
[4,1,3,7,2,5,6] => 100100 => 2
[4,1,3,7,2,6,5] => 100101 => 2
[4,1,3,7,5,2,6] => 100110 => 2
[4,1,3,7,5,6,2] => 100101 => 2
[4,1,3,7,6,2,5] => 100110 => 2
[4,1,3,7,6,5,2] => 100111 => 1
[4,1,5,2,3,6,7] => 101000 => 2
[4,1,5,2,3,7,6] => 101001 => 2
[4,1,5,2,6,3,7] => 101010 => 3
[4,1,5,2,6,7,3] => 101001 => 2
[4,1,5,2,7,3,6] => 101010 => 3
[4,1,5,2,7,6,3] => 101011 => 2
[4,1,5,3,2,6,7] => 101100 => 2
[4,1,5,3,2,7,6] => 101101 => 2
[4,1,5,3,6,2,7] => 101010 => 3
[4,1,5,3,6,7,2] => 101001 => 2
[4,1,5,3,7,2,6] => 101010 => 3
[4,1,5,3,7,6,2] => 101011 => 2
[4,1,5,6,2,3,7] => 100100 => 2
[4,1,5,6,2,7,3] => 100101 => 2
[4,1,5,6,3,2,7] => 100110 => 2
[4,1,5,6,3,7,2] => 100101 => 2
[4,1,5,6,7,2,3] => 100010 => 2
[4,1,5,6,7,3,2] => 100011 => 1
[4,1,5,7,2,3,6] => 100100 => 2
[4,1,5,7,2,6,3] => 100101 => 2
[4,1,5,7,3,2,6] => 100110 => 2
[4,1,5,7,3,6,2] => 100101 => 2
[4,1,5,7,6,2,3] => 100110 => 2
[4,1,5,7,6,3,2] => 100111 => 1
[4,1,6,2,3,5,7] => 101000 => 2
[4,1,6,2,3,7,5] => 101001 => 2
[4,1,6,2,5,3,7] => 101010 => 3
[4,1,6,2,5,7,3] => 101001 => 2
[4,1,6,2,7,3,5] => 101010 => 3
[4,1,6,2,7,5,3] => 101011 => 2
[4,1,6,3,2,5,7] => 101100 => 2
[4,1,6,3,2,7,5] => 101101 => 2
[4,1,6,3,5,2,7] => 101010 => 3
[4,1,6,3,5,7,2] => 101001 => 2
[4,1,6,3,7,2,5] => 101010 => 3
[4,1,6,3,7,5,2] => 101011 => 2
[4,1,6,5,2,3,7] => 101100 => 2
[4,1,6,5,2,7,3] => 101101 => 2
[4,1,6,5,3,2,7] => 101110 => 2
[4,1,6,5,3,7,2] => 101101 => 2
[4,1,6,5,7,2,3] => 101010 => 3
[4,1,6,5,7,3,2] => 101011 => 2
[4,1,6,7,2,3,5] => 100100 => 2
[4,1,6,7,2,5,3] => 100101 => 2
[4,1,6,7,3,2,5] => 100110 => 2
[4,1,6,7,3,5,2] => 100101 => 2
[4,1,6,7,5,2,3] => 100110 => 2
[4,1,6,7,5,3,2] => 100111 => 1
[4,1,7,2,3,5,6] => 101000 => 2
[4,1,7,2,3,6,5] => 101001 => 2
[4,1,7,2,5,3,6] => 101010 => 3
[4,1,7,2,5,6,3] => 101001 => 2
[4,1,7,2,6,3,5] => 101010 => 3
[4,1,7,2,6,5,3] => 101011 => 2
[4,1,7,3,2,5,6] => 101100 => 2
[4,1,7,3,2,6,5] => 101101 => 2
[4,1,7,3,5,2,6] => 101010 => 3
[4,1,7,3,5,6,2] => 101001 => 2
[4,1,7,3,6,2,5] => 101010 => 3
[4,1,7,3,6,5,2] => 101011 => 2
[4,1,7,5,2,3,6] => 101100 => 2
[4,1,7,5,2,6,3] => 101101 => 2
[4,1,7,5,3,2,6] => 101110 => 2
[4,1,7,5,3,6,2] => 101101 => 2
[4,1,7,5,6,2,3] => 101010 => 3
[4,1,7,5,6,3,2] => 101011 => 2
[4,1,7,6,2,3,5] => 101100 => 2
[4,1,7,6,2,5,3] => 101101 => 2
[4,1,7,6,3,2,5] => 101110 => 2
[4,1,7,6,3,5,2] => 101101 => 2
[4,1,7,6,5,2,3] => 101110 => 2
[4,1,7,6,5,3,2] => 101111 => 1
[4,2,1,3,5,6,7] => 110000 => 1
[4,2,1,3,5,7,6] => 110001 => 1
[4,2,1,3,6,5,7] => 110010 => 2
[4,2,1,3,6,7,5] => 110001 => 1
[4,2,1,3,7,5,6] => 110010 => 2
[4,2,1,3,7,6,5] => 110011 => 1
[4,2,1,5,3,6,7] => 110100 => 2
[4,2,1,5,3,7,6] => 110101 => 2
[4,2,1,5,6,3,7] => 110010 => 2
[4,2,1,5,6,7,3] => 110001 => 1
[4,2,1,5,7,3,6] => 110010 => 2
[4,2,1,5,7,6,3] => 110011 => 1
[4,2,1,6,3,5,7] => 110100 => 2
[4,2,1,6,3,7,5] => 110101 => 2
[4,2,1,6,5,3,7] => 110110 => 2
[4,2,1,6,5,7,3] => 110101 => 2
[4,2,1,6,7,3,5] => 110010 => 2
[4,2,1,6,7,5,3] => 110011 => 1
[4,2,1,7,3,5,6] => 110100 => 2
[4,2,1,7,3,6,5] => 110101 => 2
[4,2,1,7,5,3,6] => 110110 => 2
[4,2,1,7,5,6,3] => 110101 => 2
[4,2,1,7,6,3,5] => 110110 => 2
[4,2,1,7,6,5,3] => 110111 => 1
[4,2,3,1,5,6,7] => 101000 => 2
[4,2,3,1,5,7,6] => 101001 => 2
[4,2,3,1,6,5,7] => 101010 => 3
[4,2,3,1,6,7,5] => 101001 => 2
[4,2,3,1,7,5,6] => 101010 => 3
[4,2,3,1,7,6,5] => 101011 => 2
[4,2,3,5,1,6,7] => 100100 => 2
[4,2,3,5,1,7,6] => 100101 => 2
[4,2,3,5,6,1,7] => 100010 => 2
[4,2,3,5,6,7,1] => 100001 => 1
[4,2,3,5,7,1,6] => 100010 => 2
[4,2,3,5,7,6,1] => 100011 => 1
[4,2,3,6,1,5,7] => 100100 => 2
[4,2,3,6,1,7,5] => 100101 => 2
[4,2,3,6,5,1,7] => 100110 => 2
[4,2,3,6,5,7,1] => 100101 => 2
[4,2,3,6,7,1,5] => 100010 => 2
[4,2,3,6,7,5,1] => 100011 => 1
[4,2,3,7,1,5,6] => 100100 => 2
[4,2,3,7,1,6,5] => 100101 => 2
[4,2,3,7,5,1,6] => 100110 => 2
[4,2,3,7,5,6,1] => 100101 => 2
[4,2,3,7,6,1,5] => 100110 => 2
[4,2,3,7,6,5,1] => 100111 => 1
[4,2,5,1,3,6,7] => 101000 => 2
[4,2,5,1,3,7,6] => 101001 => 2
[4,2,5,1,6,3,7] => 101010 => 3
[4,2,5,1,6,7,3] => 101001 => 2
[4,2,5,1,7,3,6] => 101010 => 3
[4,2,5,1,7,6,3] => 101011 => 2
[4,2,5,3,1,6,7] => 101100 => 2
[4,2,5,3,1,7,6] => 101101 => 2
[4,2,5,3,6,1,7] => 101010 => 3
[4,2,5,3,6,7,1] => 101001 => 2
[4,2,5,3,7,1,6] => 101010 => 3
[4,2,5,3,7,6,1] => 101011 => 2
[4,2,5,6,1,3,7] => 100100 => 2
[4,2,5,6,1,7,3] => 100101 => 2
[4,2,5,6,3,1,7] => 100110 => 2
[4,2,5,6,3,7,1] => 100101 => 2
[4,2,5,6,7,1,3] => 100010 => 2
[4,2,5,6,7,3,1] => 100011 => 1
[4,2,5,7,1,3,6] => 100100 => 2
[4,2,5,7,1,6,3] => 100101 => 2
[4,2,5,7,3,1,6] => 100110 => 2
[4,2,5,7,3,6,1] => 100101 => 2
[4,2,5,7,6,1,3] => 100110 => 2
[4,2,5,7,6,3,1] => 100111 => 1
[4,2,6,1,3,5,7] => 101000 => 2
[4,2,6,1,3,7,5] => 101001 => 2
[4,2,6,1,5,3,7] => 101010 => 3
[4,2,6,1,5,7,3] => 101001 => 2
[4,2,6,1,7,3,5] => 101010 => 3
[4,2,6,1,7,5,3] => 101011 => 2
[4,2,6,3,1,5,7] => 101100 => 2
[4,2,6,3,1,7,5] => 101101 => 2
[4,2,6,3,5,1,7] => 101010 => 3
[4,2,6,3,5,7,1] => 101001 => 2
[4,2,6,3,7,1,5] => 101010 => 3
[4,2,6,3,7,5,1] => 101011 => 2
[4,2,6,5,1,3,7] => 101100 => 2
[4,2,6,5,1,7,3] => 101101 => 2
[4,2,6,5,3,1,7] => 101110 => 2
[4,2,6,5,3,7,1] => 101101 => 2
[4,2,6,5,7,1,3] => 101010 => 3
[4,2,6,5,7,3,1] => 101011 => 2
[4,2,6,7,1,3,5] => 100100 => 2
[4,2,6,7,1,5,3] => 100101 => 2
[4,2,6,7,3,1,5] => 100110 => 2
[4,2,6,7,3,5,1] => 100101 => 2
[4,2,6,7,5,1,3] => 100110 => 2
[4,2,6,7,5,3,1] => 100111 => 1
[4,2,7,1,3,5,6] => 101000 => 2
[4,2,7,1,3,6,5] => 101001 => 2
[4,2,7,1,5,3,6] => 101010 => 3
[4,2,7,1,5,6,3] => 101001 => 2
[4,2,7,1,6,3,5] => 101010 => 3
[4,2,7,1,6,5,3] => 101011 => 2
[4,2,7,3,1,5,6] => 101100 => 2
[4,2,7,3,1,6,5] => 101101 => 2
[4,2,7,3,5,1,6] => 101010 => 3
[4,2,7,3,5,6,1] => 101001 => 2
[4,2,7,3,6,1,5] => 101010 => 3
[4,2,7,3,6,5,1] => 101011 => 2
[4,2,7,5,1,3,6] => 101100 => 2
[4,2,7,5,1,6,3] => 101101 => 2
[4,2,7,5,3,1,6] => 101110 => 2
[4,2,7,5,3,6,1] => 101101 => 2
[4,2,7,5,6,1,3] => 101010 => 3
[4,2,7,5,6,3,1] => 101011 => 2
[4,2,7,6,1,3,5] => 101100 => 2
[4,2,7,6,1,5,3] => 101101 => 2
[4,2,7,6,3,1,5] => 101110 => 2
[4,2,7,6,3,5,1] => 101101 => 2
[4,2,7,6,5,1,3] => 101110 => 2
[4,2,7,6,5,3,1] => 101111 => 1
[4,3,1,2,5,6,7] => 110000 => 1
[4,3,1,2,5,7,6] => 110001 => 1
[4,3,1,2,6,5,7] => 110010 => 2
[4,3,1,2,6,7,5] => 110001 => 1
[4,3,1,2,7,5,6] => 110010 => 2
[4,3,1,2,7,6,5] => 110011 => 1
[4,3,1,5,2,6,7] => 110100 => 2
[4,3,1,5,2,7,6] => 110101 => 2
[4,3,1,5,6,2,7] => 110010 => 2
[4,3,1,5,6,7,2] => 110001 => 1
[4,3,1,5,7,2,6] => 110010 => 2
[4,3,1,5,7,6,2] => 110011 => 1
[4,3,1,6,2,5,7] => 110100 => 2
[4,3,1,6,2,7,5] => 110101 => 2
[4,3,1,6,5,2,7] => 110110 => 2
[4,3,1,6,5,7,2] => 110101 => 2
[4,3,1,6,7,2,5] => 110010 => 2
[4,3,1,6,7,5,2] => 110011 => 1
[4,3,1,7,2,5,6] => 110100 => 2
[4,3,1,7,2,6,5] => 110101 => 2
[4,3,1,7,5,2,6] => 110110 => 2
[4,3,1,7,5,6,2] => 110101 => 2
[4,3,1,7,6,2,5] => 110110 => 2
[4,3,1,7,6,5,2] => 110111 => 1
[4,3,2,1,5,6,7] => 111000 => 1
[4,3,2,1,5,7,6] => 111001 => 1
[4,3,2,1,6,5,7] => 111010 => 2
[4,3,2,1,6,7,5] => 111001 => 1
[4,3,2,1,7,5,6] => 111010 => 2
[4,3,2,1,7,6,5] => 111011 => 1
[4,3,2,5,1,6,7] => 110100 => 2
[4,3,2,5,1,7,6] => 110101 => 2
[4,3,2,5,6,1,7] => 110010 => 2
[4,3,2,5,6,7,1] => 110001 => 1
[4,3,2,5,7,1,6] => 110010 => 2
[4,3,2,5,7,6,1] => 110011 => 1
[4,3,2,6,1,5,7] => 110100 => 2
[4,3,2,6,1,7,5] => 110101 => 2
[4,3,2,6,5,1,7] => 110110 => 2
[4,3,2,6,5,7,1] => 110101 => 2
[4,3,2,6,7,1,5] => 110010 => 2
[4,3,2,6,7,5,1] => 110011 => 1
[4,3,2,7,1,5,6] => 110100 => 2
[4,3,2,7,1,6,5] => 110101 => 2
[4,3,2,7,5,1,6] => 110110 => 2
[4,3,2,7,5,6,1] => 110101 => 2
[4,3,2,7,6,1,5] => 110110 => 2
[4,3,2,7,6,5,1] => 110111 => 1
[4,3,5,1,2,6,7] => 101000 => 2
[4,3,5,1,2,7,6] => 101001 => 2
[4,3,5,1,6,2,7] => 101010 => 3
[4,3,5,1,6,7,2] => 101001 => 2
[4,3,5,1,7,2,6] => 101010 => 3
[4,3,5,1,7,6,2] => 101011 => 2
[4,3,5,2,1,6,7] => 101100 => 2
[4,3,5,2,1,7,6] => 101101 => 2
[4,3,5,2,6,1,7] => 101010 => 3
[4,3,5,2,6,7,1] => 101001 => 2
[4,3,5,2,7,1,6] => 101010 => 3
[4,3,5,2,7,6,1] => 101011 => 2
[4,3,5,6,1,2,7] => 100100 => 2
[4,3,5,6,1,7,2] => 100101 => 2
[4,3,5,6,2,1,7] => 100110 => 2
[4,3,5,6,2,7,1] => 100101 => 2
[4,3,5,6,7,1,2] => 100010 => 2
[4,3,5,6,7,2,1] => 100011 => 1
[4,3,5,7,1,2,6] => 100100 => 2
[4,3,5,7,1,6,2] => 100101 => 2
[4,3,5,7,2,1,6] => 100110 => 2
[4,3,5,7,2,6,1] => 100101 => 2
[4,3,5,7,6,1,2] => 100110 => 2
[4,3,5,7,6,2,1] => 100111 => 1
[4,3,6,1,2,5,7] => 101000 => 2
[4,3,6,1,2,7,5] => 101001 => 2
[4,3,6,1,5,2,7] => 101010 => 3
[4,3,6,1,5,7,2] => 101001 => 2
[4,3,6,1,7,2,5] => 101010 => 3
[4,3,6,1,7,5,2] => 101011 => 2
[4,3,6,2,1,5,7] => 101100 => 2
[4,3,6,2,1,7,5] => 101101 => 2
[4,3,6,2,5,1,7] => 101010 => 3
[4,3,6,2,5,7,1] => 101001 => 2
[4,3,6,2,7,1,5] => 101010 => 3
[4,3,6,2,7,5,1] => 101011 => 2
[4,3,6,5,1,2,7] => 101100 => 2
[4,3,6,5,1,7,2] => 101101 => 2
[4,3,6,5,2,1,7] => 101110 => 2
[4,3,6,5,2,7,1] => 101101 => 2
[4,3,6,5,7,1,2] => 101010 => 3
[4,3,6,5,7,2,1] => 101011 => 2
[4,3,6,7,1,2,5] => 100100 => 2
[4,3,6,7,1,5,2] => 100101 => 2
[4,3,6,7,2,1,5] => 100110 => 2
[4,3,6,7,2,5,1] => 100101 => 2
[4,3,6,7,5,1,2] => 100110 => 2
[4,3,6,7,5,2,1] => 100111 => 1
[4,3,7,1,2,5,6] => 101000 => 2
[4,3,7,1,2,6,5] => 101001 => 2
[4,3,7,1,5,2,6] => 101010 => 3
[4,3,7,1,5,6,2] => 101001 => 2
[4,3,7,1,6,2,5] => 101010 => 3
[4,3,7,1,6,5,2] => 101011 => 2
[4,3,7,2,1,5,6] => 101100 => 2
[4,3,7,2,1,6,5] => 101101 => 2
[4,3,7,2,5,1,6] => 101010 => 3
[4,3,7,2,5,6,1] => 101001 => 2
[4,3,7,2,6,1,5] => 101010 => 3
[4,3,7,2,6,5,1] => 101011 => 2
[4,3,7,5,1,2,6] => 101100 => 2
[4,3,7,5,1,6,2] => 101101 => 2
[4,3,7,5,2,1,6] => 101110 => 2
[4,3,7,5,2,6,1] => 101101 => 2
[4,3,7,5,6,1,2] => 101010 => 3
[4,3,7,5,6,2,1] => 101011 => 2
[4,3,7,6,1,2,5] => 101100 => 2
[4,3,7,6,1,5,2] => 101101 => 2
[4,3,7,6,2,1,5] => 101110 => 2
[4,3,7,6,2,5,1] => 101101 => 2
[4,3,7,6,5,1,2] => 101110 => 2
[4,3,7,6,5,2,1] => 101111 => 1
[4,5,1,2,3,6,7] => 010000 => 1
[4,5,1,2,3,7,6] => 010001 => 1
[4,5,1,2,6,3,7] => 010010 => 2
[4,5,1,2,6,7,3] => 010001 => 1
[4,5,1,2,7,3,6] => 010010 => 2
[4,5,1,2,7,6,3] => 010011 => 1
[4,5,1,3,2,6,7] => 010100 => 2
[4,5,1,3,2,7,6] => 010101 => 2
[4,5,1,3,6,2,7] => 010010 => 2
[4,5,1,3,6,7,2] => 010001 => 1
[4,5,1,3,7,2,6] => 010010 => 2
[4,5,1,3,7,6,2] => 010011 => 1
[4,5,1,6,2,3,7] => 010100 => 2
[4,5,1,6,2,7,3] => 010101 => 2
[4,5,1,6,3,2,7] => 010110 => 2
[4,5,1,6,3,7,2] => 010101 => 2
[4,5,1,6,7,2,3] => 010010 => 2
[4,5,1,6,7,3,2] => 010011 => 1
[4,5,1,7,2,3,6] => 010100 => 2
[4,5,1,7,2,6,3] => 010101 => 2
[4,5,1,7,3,2,6] => 010110 => 2
[4,5,1,7,3,6,2] => 010101 => 2
[4,5,1,7,6,2,3] => 010110 => 2
[4,5,1,7,6,3,2] => 010111 => 1
[4,5,2,1,3,6,7] => 011000 => 1
[4,5,2,1,3,7,6] => 011001 => 1
[4,5,2,1,6,3,7] => 011010 => 2
[4,5,2,1,6,7,3] => 011001 => 1
[4,5,2,1,7,3,6] => 011010 => 2
[4,5,2,1,7,6,3] => 011011 => 1
[4,5,2,3,1,6,7] => 010100 => 2
[4,5,2,3,1,7,6] => 010101 => 2
[4,5,2,3,6,1,7] => 010010 => 2
[4,5,2,3,6,7,1] => 010001 => 1
[4,5,2,3,7,1,6] => 010010 => 2
[4,5,2,3,7,6,1] => 010011 => 1
[4,5,2,6,1,3,7] => 010100 => 2
[4,5,2,6,1,7,3] => 010101 => 2
[4,5,2,6,3,1,7] => 010110 => 2
[4,5,2,6,3,7,1] => 010101 => 2
[4,5,2,6,7,1,3] => 010010 => 2
[4,5,2,6,7,3,1] => 010011 => 1
[4,5,2,7,1,3,6] => 010100 => 2
[4,5,2,7,1,6,3] => 010101 => 2
[4,5,2,7,3,1,6] => 010110 => 2
[4,5,2,7,3,6,1] => 010101 => 2
[4,5,2,7,6,1,3] => 010110 => 2
[4,5,2,7,6,3,1] => 010111 => 1
[4,5,3,1,2,6,7] => 011000 => 1
[4,5,3,1,2,7,6] => 011001 => 1
[4,5,3,1,6,2,7] => 011010 => 2
[4,5,3,1,6,7,2] => 011001 => 1
[4,5,3,1,7,2,6] => 011010 => 2
[4,5,3,1,7,6,2] => 011011 => 1
[4,5,3,2,1,6,7] => 011100 => 1
[4,5,3,2,1,7,6] => 011101 => 1
[4,5,3,2,6,1,7] => 011010 => 2
[4,5,3,2,6,7,1] => 011001 => 1
[4,5,3,2,7,1,6] => 011010 => 2
[4,5,3,2,7,6,1] => 011011 => 1
[4,5,3,6,1,2,7] => 010100 => 2
[4,5,3,6,1,7,2] => 010101 => 2
[4,5,3,6,2,1,7] => 010110 => 2
[4,5,3,6,2,7,1] => 010101 => 2
[4,5,3,6,7,1,2] => 010010 => 2
[4,5,3,6,7,2,1] => 010011 => 1
[4,5,3,7,1,2,6] => 010100 => 2
[4,5,3,7,1,6,2] => 010101 => 2
[4,5,3,7,2,1,6] => 010110 => 2
[4,5,3,7,2,6,1] => 010101 => 2
[4,5,3,7,6,1,2] => 010110 => 2
[4,5,3,7,6,2,1] => 010111 => 1
[4,5,6,1,2,3,7] => 001000 => 1
[4,5,6,1,2,7,3] => 001001 => 1
[4,5,6,1,3,2,7] => 001010 => 2
[4,5,6,1,3,7,2] => 001001 => 1
[4,5,6,1,7,2,3] => 001010 => 2
[4,5,6,1,7,3,2] => 001011 => 1
[4,5,6,2,1,3,7] => 001100 => 1
[4,5,6,2,1,7,3] => 001101 => 1
[4,5,6,2,3,1,7] => 001010 => 2
[4,5,6,2,3,7,1] => 001001 => 1
[4,5,6,2,7,1,3] => 001010 => 2
[4,5,6,2,7,3,1] => 001011 => 1
[4,5,6,3,1,2,7] => 001100 => 1
[4,5,6,3,1,7,2] => 001101 => 1
[4,5,6,3,2,1,7] => 001110 => 1
[4,5,6,3,2,7,1] => 001101 => 1
[4,5,6,3,7,1,2] => 001010 => 2
[4,5,6,3,7,2,1] => 001011 => 1
[4,5,6,7,1,2,3] => 000100 => 1
[4,5,6,7,1,3,2] => 000101 => 1
[4,5,6,7,2,1,3] => 000110 => 1
[4,5,6,7,2,3,1] => 000101 => 1
[4,5,6,7,3,1,2] => 000110 => 1
[4,5,6,7,3,2,1] => 000111 => 0
[4,5,7,1,2,3,6] => 001000 => 1
[4,5,7,1,2,6,3] => 001001 => 1
[4,5,7,1,3,2,6] => 001010 => 2
[4,5,7,1,3,6,2] => 001001 => 1
[4,5,7,1,6,2,3] => 001010 => 2
[4,5,7,1,6,3,2] => 001011 => 1
[4,5,7,2,1,3,6] => 001100 => 1
[4,5,7,2,1,6,3] => 001101 => 1
[4,5,7,2,3,1,6] => 001010 => 2
[4,5,7,2,3,6,1] => 001001 => 1
[4,5,7,2,6,1,3] => 001010 => 2
[4,5,7,2,6,3,1] => 001011 => 1
[4,5,7,3,1,2,6] => 001100 => 1
[4,5,7,3,1,6,2] => 001101 => 1
[4,5,7,3,2,1,6] => 001110 => 1
[4,5,7,3,2,6,1] => 001101 => 1
[4,5,7,3,6,1,2] => 001010 => 2
[4,5,7,3,6,2,1] => 001011 => 1
[4,5,7,6,1,2,3] => 001100 => 1
[4,5,7,6,1,3,2] => 001101 => 1
[4,5,7,6,2,1,3] => 001110 => 1
[4,5,7,6,2,3,1] => 001101 => 1
[4,5,7,6,3,1,2] => 001110 => 1
[4,5,7,6,3,2,1] => 001111 => 0
[4,6,1,2,3,5,7] => 010000 => 1
[4,6,1,2,3,7,5] => 010001 => 1
[4,6,1,2,5,3,7] => 010010 => 2
[4,6,1,2,5,7,3] => 010001 => 1
[4,6,1,2,7,3,5] => 010010 => 2
[4,6,1,2,7,5,3] => 010011 => 1
[4,6,1,3,2,5,7] => 010100 => 2
[4,6,1,3,2,7,5] => 010101 => 2
[4,6,1,3,5,2,7] => 010010 => 2
[4,6,1,3,5,7,2] => 010001 => 1
[4,6,1,3,7,2,5] => 010010 => 2
[4,6,1,3,7,5,2] => 010011 => 1
[4,6,1,5,2,3,7] => 010100 => 2
[4,6,1,5,2,7,3] => 010101 => 2
[4,6,1,5,3,2,7] => 010110 => 2
[4,6,1,5,3,7,2] => 010101 => 2
[4,6,1,5,7,2,3] => 010010 => 2
[4,6,1,5,7,3,2] => 010011 => 1
[4,6,1,7,2,3,5] => 010100 => 2
[4,6,1,7,2,5,3] => 010101 => 2
[4,6,1,7,3,2,5] => 010110 => 2
[4,6,1,7,3,5,2] => 010101 => 2
[4,6,1,7,5,2,3] => 010110 => 2
[4,6,1,7,5,3,2] => 010111 => 1
[4,6,2,1,3,5,7] => 011000 => 1
[4,6,2,1,3,7,5] => 011001 => 1
[4,6,2,1,5,3,7] => 011010 => 2
[4,6,2,1,5,7,3] => 011001 => 1
[4,6,2,1,7,3,5] => 011010 => 2
[4,6,2,1,7,5,3] => 011011 => 1
[4,6,2,3,1,5,7] => 010100 => 2
[4,6,2,3,1,7,5] => 010101 => 2
[4,6,2,3,5,1,7] => 010010 => 2
[4,6,2,3,5,7,1] => 010001 => 1
[4,6,2,3,7,1,5] => 010010 => 2
[4,6,2,3,7,5,1] => 010011 => 1
[4,6,2,5,1,3,7] => 010100 => 2
[4,6,2,5,1,7,3] => 010101 => 2
[4,6,2,5,3,1,7] => 010110 => 2
[4,6,2,5,3,7,1] => 010101 => 2
[4,6,2,5,7,1,3] => 010010 => 2
[4,6,2,5,7,3,1] => 010011 => 1
[4,6,2,7,1,3,5] => 010100 => 2
[4,6,2,7,1,5,3] => 010101 => 2
[4,6,2,7,3,1,5] => 010110 => 2
[4,6,2,7,3,5,1] => 010101 => 2
[4,6,2,7,5,1,3] => 010110 => 2
[4,6,2,7,5,3,1] => 010111 => 1
[4,6,3,1,2,5,7] => 011000 => 1
[4,6,3,1,2,7,5] => 011001 => 1
[4,6,3,1,5,2,7] => 011010 => 2
[4,6,3,1,5,7,2] => 011001 => 1
[4,6,3,1,7,2,5] => 011010 => 2
[4,6,3,1,7,5,2] => 011011 => 1
[4,6,3,2,1,5,7] => 011100 => 1
[4,6,3,2,1,7,5] => 011101 => 1
[4,6,3,2,5,1,7] => 011010 => 2
[4,6,3,2,5,7,1] => 011001 => 1
[4,6,3,2,7,1,5] => 011010 => 2
[4,6,3,2,7,5,1] => 011011 => 1
[4,6,3,5,1,2,7] => 010100 => 2
[4,6,3,5,1,7,2] => 010101 => 2
[4,6,3,5,2,1,7] => 010110 => 2
[4,6,3,5,2,7,1] => 010101 => 2
[4,6,3,5,7,1,2] => 010010 => 2
[4,6,3,5,7,2,1] => 010011 => 1
[4,6,3,7,1,2,5] => 010100 => 2
[4,6,3,7,1,5,2] => 010101 => 2
[4,6,3,7,2,1,5] => 010110 => 2
[4,6,3,7,2,5,1] => 010101 => 2
[4,6,3,7,5,1,2] => 010110 => 2
[4,6,3,7,5,2,1] => 010111 => 1
[4,6,5,1,2,3,7] => 011000 => 1
[4,6,5,1,2,7,3] => 011001 => 1
[4,6,5,1,3,2,7] => 011010 => 2
[4,6,5,1,3,7,2] => 011001 => 1
[4,6,5,1,7,2,3] => 011010 => 2
[4,6,5,1,7,3,2] => 011011 => 1
[4,6,5,2,1,3,7] => 011100 => 1
[4,6,5,2,1,7,3] => 011101 => 1
[4,6,5,2,3,1,7] => 011010 => 2
[4,6,5,2,3,7,1] => 011001 => 1
[4,6,5,2,7,1,3] => 011010 => 2
[4,6,5,2,7,3,1] => 011011 => 1
[4,6,5,3,1,2,7] => 011100 => 1
[4,6,5,3,1,7,2] => 011101 => 1
[4,6,5,3,2,1,7] => 011110 => 1
[4,6,5,3,2,7,1] => 011101 => 1
[4,6,5,3,7,1,2] => 011010 => 2
[4,6,5,3,7,2,1] => 011011 => 1
[4,6,5,7,1,2,3] => 010100 => 2
[4,6,5,7,1,3,2] => 010101 => 2
[4,6,5,7,2,1,3] => 010110 => 2
[4,6,5,7,2,3,1] => 010101 => 2
[4,6,5,7,3,1,2] => 010110 => 2
[4,6,5,7,3,2,1] => 010111 => 1
[4,6,7,1,2,3,5] => 001000 => 1
[4,6,7,1,2,5,3] => 001001 => 1
[4,6,7,1,3,2,5] => 001010 => 2
[4,6,7,1,3,5,2] => 001001 => 1
[4,6,7,1,5,2,3] => 001010 => 2
[4,6,7,1,5,3,2] => 001011 => 1
[4,6,7,2,1,3,5] => 001100 => 1
[4,6,7,2,1,5,3] => 001101 => 1
[4,6,7,2,3,1,5] => 001010 => 2
[4,6,7,2,3,5,1] => 001001 => 1
[4,6,7,2,5,1,3] => 001010 => 2
[4,6,7,2,5,3,1] => 001011 => 1
[4,6,7,3,1,2,5] => 001100 => 1
[4,6,7,3,1,5,2] => 001101 => 1
[4,6,7,3,2,1,5] => 001110 => 1
[4,6,7,3,2,5,1] => 001101 => 1
[4,6,7,3,5,1,2] => 001010 => 2
[4,6,7,3,5,2,1] => 001011 => 1
[4,6,7,5,1,2,3] => 001100 => 1
[4,6,7,5,1,3,2] => 001101 => 1
[4,6,7,5,2,1,3] => 001110 => 1
[4,6,7,5,2,3,1] => 001101 => 1
[4,6,7,5,3,1,2] => 001110 => 1
[4,6,7,5,3,2,1] => 001111 => 0
[4,7,1,2,3,5,6] => 010000 => 1
[4,7,1,2,3,6,5] => 010001 => 1
[4,7,1,2,5,3,6] => 010010 => 2
[4,7,1,2,5,6,3] => 010001 => 1
[4,7,1,2,6,3,5] => 010010 => 2
[4,7,1,2,6,5,3] => 010011 => 1
[4,7,1,3,2,5,6] => 010100 => 2
[4,7,1,3,2,6,5] => 010101 => 2
[4,7,1,3,5,2,6] => 010010 => 2
[4,7,1,3,5,6,2] => 010001 => 1
[4,7,1,3,6,2,5] => 010010 => 2
[4,7,1,3,6,5,2] => 010011 => 1
[4,7,1,5,2,3,6] => 010100 => 2
[4,7,1,5,2,6,3] => 010101 => 2
[4,7,1,5,3,2,6] => 010110 => 2
[4,7,1,5,3,6,2] => 010101 => 2
[4,7,1,5,6,2,3] => 010010 => 2
[4,7,1,5,6,3,2] => 010011 => 1
[4,7,1,6,2,3,5] => 010100 => 2
[4,7,1,6,2,5,3] => 010101 => 2
[4,7,1,6,3,2,5] => 010110 => 2
[4,7,1,6,3,5,2] => 010101 => 2
[4,7,1,6,5,2,3] => 010110 => 2
[4,7,1,6,5,3,2] => 010111 => 1
[4,7,2,1,3,5,6] => 011000 => 1
[4,7,2,1,3,6,5] => 011001 => 1
[4,7,2,1,5,3,6] => 011010 => 2
[4,7,2,1,5,6,3] => 011001 => 1
[4,7,2,1,6,3,5] => 011010 => 2
[4,7,2,1,6,5,3] => 011011 => 1
[4,7,2,3,1,5,6] => 010100 => 2
[4,7,2,3,1,6,5] => 010101 => 2
[4,7,2,3,5,1,6] => 010010 => 2
[4,7,2,3,5,6,1] => 010001 => 1
[4,7,2,3,6,1,5] => 010010 => 2
[4,7,2,3,6,5,1] => 010011 => 1
[4,7,2,5,1,3,6] => 010100 => 2
[4,7,2,5,1,6,3] => 010101 => 2
[4,7,2,5,3,1,6] => 010110 => 2
[4,7,2,5,3,6,1] => 010101 => 2
[4,7,2,5,6,1,3] => 010010 => 2
[4,7,2,5,6,3,1] => 010011 => 1
[4,7,2,6,1,3,5] => 010100 => 2
[4,7,2,6,1,5,3] => 010101 => 2
[4,7,2,6,3,1,5] => 010110 => 2
[4,7,2,6,3,5,1] => 010101 => 2
[4,7,2,6,5,1,3] => 010110 => 2
[4,7,2,6,5,3,1] => 010111 => 1
[4,7,3,1,2,5,6] => 011000 => 1
[4,7,3,1,2,6,5] => 011001 => 1
[4,7,3,1,5,2,6] => 011010 => 2
[4,7,3,1,5,6,2] => 011001 => 1
[4,7,3,1,6,2,5] => 011010 => 2
[4,7,3,1,6,5,2] => 011011 => 1
[4,7,3,2,1,5,6] => 011100 => 1
[4,7,3,2,1,6,5] => 011101 => 1
[4,7,3,2,5,1,6] => 011010 => 2
[4,7,3,2,5,6,1] => 011001 => 1
[4,7,3,2,6,1,5] => 011010 => 2
[4,7,3,2,6,5,1] => 011011 => 1
[4,7,3,5,1,2,6] => 010100 => 2
[4,7,3,5,1,6,2] => 010101 => 2
[4,7,3,5,2,1,6] => 010110 => 2
[4,7,3,5,2,6,1] => 010101 => 2
[4,7,3,5,6,1,2] => 010010 => 2
[4,7,3,5,6,2,1] => 010011 => 1
[4,7,3,6,1,2,5] => 010100 => 2
[4,7,3,6,1,5,2] => 010101 => 2
[4,7,3,6,2,1,5] => 010110 => 2
[4,7,3,6,2,5,1] => 010101 => 2
[4,7,3,6,5,1,2] => 010110 => 2
[4,7,3,6,5,2,1] => 010111 => 1
[4,7,5,1,2,3,6] => 011000 => 1
[4,7,5,1,2,6,3] => 011001 => 1
[4,7,5,1,3,2,6] => 011010 => 2
[4,7,5,1,3,6,2] => 011001 => 1
[4,7,5,1,6,2,3] => 011010 => 2
[4,7,5,1,6,3,2] => 011011 => 1
[4,7,5,2,1,3,6] => 011100 => 1
[4,7,5,2,1,6,3] => 011101 => 1
[4,7,5,2,3,1,6] => 011010 => 2
[4,7,5,2,3,6,1] => 011001 => 1
[4,7,5,2,6,1,3] => 011010 => 2
[4,7,5,2,6,3,1] => 011011 => 1
[4,7,5,3,1,2,6] => 011100 => 1
[4,7,5,3,1,6,2] => 011101 => 1
[4,7,5,3,2,1,6] => 011110 => 1
[4,7,5,3,2,6,1] => 011101 => 1
[4,7,5,3,6,1,2] => 011010 => 2
[4,7,5,3,6,2,1] => 011011 => 1
[4,7,5,6,1,2,3] => 010100 => 2
[4,7,5,6,1,3,2] => 010101 => 2
[4,7,5,6,2,1,3] => 010110 => 2
[4,7,5,6,2,3,1] => 010101 => 2
[4,7,5,6,3,1,2] => 010110 => 2
[4,7,5,6,3,2,1] => 010111 => 1
[4,7,6,1,2,3,5] => 011000 => 1
[4,7,6,1,2,5,3] => 011001 => 1
[4,7,6,1,3,2,5] => 011010 => 2
[4,7,6,1,3,5,2] => 011001 => 1
[4,7,6,1,5,2,3] => 011010 => 2
[4,7,6,1,5,3,2] => 011011 => 1
[4,7,6,2,1,3,5] => 011100 => 1
[4,7,6,2,1,5,3] => 011101 => 1
[4,7,6,2,3,1,5] => 011010 => 2
[4,7,6,2,3,5,1] => 011001 => 1
[4,7,6,2,5,1,3] => 011010 => 2
[4,7,6,2,5,3,1] => 011011 => 1
[4,7,6,3,1,2,5] => 011100 => 1
[4,7,6,3,1,5,2] => 011101 => 1
[4,7,6,3,2,1,5] => 011110 => 1
[4,7,6,3,2,5,1] => 011101 => 1
[4,7,6,3,5,1,2] => 011010 => 2
[4,7,6,3,5,2,1] => 011011 => 1
[4,7,6,5,1,2,3] => 011100 => 1
[4,7,6,5,1,3,2] => 011101 => 1
[4,7,6,5,2,1,3] => 011110 => 1
[4,7,6,5,2,3,1] => 011101 => 1
[4,7,6,5,3,1,2] => 011110 => 1
[4,7,6,5,3,2,1] => 011111 => 0
[5,1,2,3,4,6,7] => 100000 => 1
[5,1,2,3,4,7,6] => 100001 => 1
[5,1,2,3,6,4,7] => 100010 => 2
[5,1,2,3,6,7,4] => 100001 => 1
[5,1,2,3,7,4,6] => 100010 => 2
[5,1,2,3,7,6,4] => 100011 => 1
[5,1,2,4,3,6,7] => 100100 => 2
[5,1,2,4,3,7,6] => 100101 => 2
[5,1,2,4,6,3,7] => 100010 => 2
[5,1,2,4,6,7,3] => 100001 => 1
[5,1,2,4,7,3,6] => 100010 => 2
[5,1,2,4,7,6,3] => 100011 => 1
[5,1,2,6,3,4,7] => 100100 => 2
[5,1,2,6,3,7,4] => 100101 => 2
[5,1,2,6,4,3,7] => 100110 => 2
[5,1,2,6,4,7,3] => 100101 => 2
[5,1,2,6,7,3,4] => 100010 => 2
[5,1,2,6,7,4,3] => 100011 => 1
[5,1,2,7,3,4,6] => 100100 => 2
[5,1,2,7,3,6,4] => 100101 => 2
[5,1,2,7,4,3,6] => 100110 => 2
[5,1,2,7,4,6,3] => 100101 => 2
[5,1,2,7,6,3,4] => 100110 => 2
[5,1,2,7,6,4,3] => 100111 => 1
[5,1,3,2,4,6,7] => 101000 => 2
[5,1,3,2,4,7,6] => 101001 => 2
[5,1,3,2,6,4,7] => 101010 => 3
[5,1,3,2,6,7,4] => 101001 => 2
[5,1,3,2,7,4,6] => 101010 => 3
[5,1,3,2,7,6,4] => 101011 => 2
[5,1,3,4,2,6,7] => 100100 => 2
[5,1,3,4,2,7,6] => 100101 => 2
[5,1,3,4,6,2,7] => 100010 => 2
[5,1,3,4,6,7,2] => 100001 => 1
[5,1,3,4,7,2,6] => 100010 => 2
[5,1,3,4,7,6,2] => 100011 => 1
[5,1,3,6,2,4,7] => 100100 => 2
[5,1,3,6,2,7,4] => 100101 => 2
[5,1,3,6,4,2,7] => 100110 => 2
[5,1,3,6,4,7,2] => 100101 => 2
[5,1,3,6,7,2,4] => 100010 => 2
[5,1,3,6,7,4,2] => 100011 => 1
[5,1,3,7,2,4,6] => 100100 => 2
[5,1,3,7,2,6,4] => 100101 => 2
[5,1,3,7,4,2,6] => 100110 => 2
[5,1,3,7,4,6,2] => 100101 => 2
[5,1,3,7,6,2,4] => 100110 => 2
[5,1,3,7,6,4,2] => 100111 => 1
[5,1,4,2,3,6,7] => 101000 => 2
[5,1,4,2,3,7,6] => 101001 => 2
[5,1,4,2,6,3,7] => 101010 => 3
[5,1,4,2,6,7,3] => 101001 => 2
[5,1,4,2,7,3,6] => 101010 => 3
[5,1,4,2,7,6,3] => 101011 => 2
[5,1,4,3,2,6,7] => 101100 => 2
[5,1,4,3,2,7,6] => 101101 => 2
[5,1,4,3,6,2,7] => 101010 => 3
[5,1,4,3,6,7,2] => 101001 => 2
[5,1,4,3,7,2,6] => 101010 => 3
[5,1,4,3,7,6,2] => 101011 => 2
[5,1,4,6,2,3,7] => 100100 => 2
[5,1,4,6,2,7,3] => 100101 => 2
[5,1,4,6,3,2,7] => 100110 => 2
[5,1,4,6,3,7,2] => 100101 => 2
[5,1,4,6,7,2,3] => 100010 => 2
[5,1,4,6,7,3,2] => 100011 => 1
[5,1,4,7,2,3,6] => 100100 => 2
[5,1,4,7,2,6,3] => 100101 => 2
[5,1,4,7,3,2,6] => 100110 => 2
[5,1,4,7,3,6,2] => 100101 => 2
[5,1,4,7,6,2,3] => 100110 => 2
[5,1,4,7,6,3,2] => 100111 => 1
[5,1,6,2,3,4,7] => 101000 => 2
[5,1,6,2,3,7,4] => 101001 => 2
[5,1,6,2,4,3,7] => 101010 => 3
[5,1,6,2,4,7,3] => 101001 => 2
[5,1,6,2,7,3,4] => 101010 => 3
[5,1,6,2,7,4,3] => 101011 => 2
[5,1,6,3,2,4,7] => 101100 => 2
[5,1,6,3,2,7,4] => 101101 => 2
[5,1,6,3,4,2,7] => 101010 => 3
[5,1,6,3,4,7,2] => 101001 => 2
[5,1,6,3,7,2,4] => 101010 => 3
[5,1,6,3,7,4,2] => 101011 => 2
[5,1,6,4,2,3,7] => 101100 => 2
[5,1,6,4,2,7,3] => 101101 => 2
[5,1,6,4,3,2,7] => 101110 => 2
[5,1,6,4,3,7,2] => 101101 => 2
[5,1,6,4,7,2,3] => 101010 => 3
[5,1,6,4,7,3,2] => 101011 => 2
[5,1,6,7,2,3,4] => 100100 => 2
[5,1,6,7,2,4,3] => 100101 => 2
[5,1,6,7,3,2,4] => 100110 => 2
[5,1,6,7,3,4,2] => 100101 => 2
[5,1,6,7,4,2,3] => 100110 => 2
[5,1,6,7,4,3,2] => 100111 => 1
[5,1,7,2,3,4,6] => 101000 => 2
[5,1,7,2,3,6,4] => 101001 => 2
[5,1,7,2,4,3,6] => 101010 => 3
[5,1,7,2,4,6,3] => 101001 => 2
[5,1,7,2,6,3,4] => 101010 => 3
[5,1,7,2,6,4,3] => 101011 => 2
[5,1,7,3,2,4,6] => 101100 => 2
[5,1,7,3,2,6,4] => 101101 => 2
[5,1,7,3,4,2,6] => 101010 => 3
[5,1,7,3,4,6,2] => 101001 => 2
[5,1,7,3,6,2,4] => 101010 => 3
[5,1,7,3,6,4,2] => 101011 => 2
[5,1,7,4,2,3,6] => 101100 => 2
[5,1,7,4,2,6,3] => 101101 => 2
[5,1,7,4,3,2,6] => 101110 => 2
[5,1,7,4,3,6,2] => 101101 => 2
[5,1,7,4,6,2,3] => 101010 => 3
[5,1,7,4,6,3,2] => 101011 => 2
[5,1,7,6,2,3,4] => 101100 => 2
[5,1,7,6,2,4,3] => 101101 => 2
[5,1,7,6,3,2,4] => 101110 => 2
[5,1,7,6,3,4,2] => 101101 => 2
[5,1,7,6,4,2,3] => 101110 => 2
[5,1,7,6,4,3,2] => 101111 => 1
[5,2,1,3,4,6,7] => 110000 => 1
[5,2,1,3,4,7,6] => 110001 => 1
[5,2,1,3,6,4,7] => 110010 => 2
[5,2,1,3,6,7,4] => 110001 => 1
[5,2,1,3,7,4,6] => 110010 => 2
[5,2,1,3,7,6,4] => 110011 => 1
[5,2,1,4,3,6,7] => 110100 => 2
[5,2,1,4,3,7,6] => 110101 => 2
[5,2,1,4,6,3,7] => 110010 => 2
[5,2,1,4,6,7,3] => 110001 => 1
[5,2,1,4,7,3,6] => 110010 => 2
[5,2,1,4,7,6,3] => 110011 => 1
[5,2,1,6,3,4,7] => 110100 => 2
[5,2,1,6,3,7,4] => 110101 => 2
[5,2,1,6,4,3,7] => 110110 => 2
[5,2,1,6,4,7,3] => 110101 => 2
[5,2,1,6,7,3,4] => 110010 => 2
[5,2,1,6,7,4,3] => 110011 => 1
[5,2,1,7,3,4,6] => 110100 => 2
[5,2,1,7,3,6,4] => 110101 => 2
[5,2,1,7,4,3,6] => 110110 => 2
[5,2,1,7,4,6,3] => 110101 => 2
[5,2,1,7,6,3,4] => 110110 => 2
[5,2,1,7,6,4,3] => 110111 => 1
[5,2,3,1,4,6,7] => 101000 => 2
[5,2,3,1,4,7,6] => 101001 => 2
[5,2,3,1,6,4,7] => 101010 => 3
[5,2,3,1,6,7,4] => 101001 => 2
[5,2,3,1,7,4,6] => 101010 => 3
[5,2,3,1,7,6,4] => 101011 => 2
[5,2,3,4,1,6,7] => 100100 => 2
[5,2,3,4,1,7,6] => 100101 => 2
[5,2,3,4,6,1,7] => 100010 => 2
[5,2,3,4,6,7,1] => 100001 => 1
[5,2,3,4,7,1,6] => 100010 => 2
[5,2,3,4,7,6,1] => 100011 => 1
[5,2,3,6,1,4,7] => 100100 => 2
[5,2,3,6,1,7,4] => 100101 => 2
[5,2,3,6,4,1,7] => 100110 => 2
[5,2,3,6,4,7,1] => 100101 => 2
[5,2,3,6,7,1,4] => 100010 => 2
[5,2,3,6,7,4,1] => 100011 => 1
[5,2,3,7,1,4,6] => 100100 => 2
[5,2,3,7,1,6,4] => 100101 => 2
[5,2,3,7,4,1,6] => 100110 => 2
[5,2,3,7,4,6,1] => 100101 => 2
[5,2,3,7,6,1,4] => 100110 => 2
[5,2,3,7,6,4,1] => 100111 => 1
[5,2,4,1,3,6,7] => 101000 => 2
[5,2,4,1,3,7,6] => 101001 => 2
[5,2,4,1,6,3,7] => 101010 => 3
[5,2,4,1,6,7,3] => 101001 => 2
[5,2,4,1,7,3,6] => 101010 => 3
[5,2,4,1,7,6,3] => 101011 => 2
[5,2,4,3,1,6,7] => 101100 => 2
[5,2,4,3,1,7,6] => 101101 => 2
[5,2,4,3,6,1,7] => 101010 => 3
[5,2,4,3,6,7,1] => 101001 => 2
[5,2,4,3,7,1,6] => 101010 => 3
[5,2,4,3,7,6,1] => 101011 => 2
[5,2,4,6,1,3,7] => 100100 => 2
[5,2,4,6,1,7,3] => 100101 => 2
[5,2,4,6,3,1,7] => 100110 => 2
[5,2,4,6,3,7,1] => 100101 => 2
[5,2,4,6,7,1,3] => 100010 => 2
[5,2,4,6,7,3,1] => 100011 => 1
[5,2,4,7,1,3,6] => 100100 => 2
[5,2,4,7,1,6,3] => 100101 => 2
[5,2,4,7,3,1,6] => 100110 => 2
[5,2,4,7,3,6,1] => 100101 => 2
[5,2,4,7,6,1,3] => 100110 => 2
[5,2,4,7,6,3,1] => 100111 => 1
[5,2,6,1,3,4,7] => 101000 => 2
[5,2,6,1,3,7,4] => 101001 => 2
[5,2,6,1,4,3,7] => 101010 => 3
[5,2,6,1,4,7,3] => 101001 => 2
[5,2,6,1,7,3,4] => 101010 => 3
[5,2,6,1,7,4,3] => 101011 => 2
[5,2,6,3,1,4,7] => 101100 => 2
[5,2,6,3,1,7,4] => 101101 => 2
[5,2,6,3,4,1,7] => 101010 => 3
[5,2,6,3,4,7,1] => 101001 => 2
[5,2,6,3,7,1,4] => 101010 => 3
[5,2,6,3,7,4,1] => 101011 => 2
[5,2,6,4,1,3,7] => 101100 => 2
[5,2,6,4,1,7,3] => 101101 => 2
[5,2,6,4,3,1,7] => 101110 => 2
[5,2,6,4,3,7,1] => 101101 => 2
[5,2,6,4,7,1,3] => 101010 => 3
[5,2,6,4,7,3,1] => 101011 => 2
[5,2,6,7,1,3,4] => 100100 => 2
[5,2,6,7,1,4,3] => 100101 => 2
[5,2,6,7,3,1,4] => 100110 => 2
[5,2,6,7,3,4,1] => 100101 => 2
[5,2,6,7,4,1,3] => 100110 => 2
[5,2,6,7,4,3,1] => 100111 => 1
[5,2,7,1,3,4,6] => 101000 => 2
[5,2,7,1,3,6,4] => 101001 => 2
[5,2,7,1,4,3,6] => 101010 => 3
[5,2,7,1,4,6,3] => 101001 => 2
[5,2,7,1,6,3,4] => 101010 => 3
[5,2,7,1,6,4,3] => 101011 => 2
[5,2,7,3,1,4,6] => 101100 => 2
[5,2,7,3,1,6,4] => 101101 => 2
[5,2,7,3,4,1,6] => 101010 => 3
[5,2,7,3,4,6,1] => 101001 => 2
[5,2,7,3,6,1,4] => 101010 => 3
[5,2,7,3,6,4,1] => 101011 => 2
[5,2,7,4,1,3,6] => 101100 => 2
[5,2,7,4,1,6,3] => 101101 => 2
[5,2,7,4,3,1,6] => 101110 => 2
[5,2,7,4,3,6,1] => 101101 => 2
[5,2,7,4,6,1,3] => 101010 => 3
[5,2,7,4,6,3,1] => 101011 => 2
[5,2,7,6,1,3,4] => 101100 => 2
[5,2,7,6,1,4,3] => 101101 => 2
[5,2,7,6,3,1,4] => 101110 => 2
[5,2,7,6,3,4,1] => 101101 => 2
[5,2,7,6,4,1,3] => 101110 => 2
[5,2,7,6,4,3,1] => 101111 => 1
[5,3,1,2,4,6,7] => 110000 => 1
[5,3,1,2,4,7,6] => 110001 => 1
[5,3,1,2,6,4,7] => 110010 => 2
[5,3,1,2,6,7,4] => 110001 => 1
[5,3,1,2,7,4,6] => 110010 => 2
[5,3,1,2,7,6,4] => 110011 => 1
[5,3,1,4,2,6,7] => 110100 => 2
[5,3,1,4,2,7,6] => 110101 => 2
[5,3,1,4,6,2,7] => 110010 => 2
[5,3,1,4,6,7,2] => 110001 => 1
[5,3,1,4,7,2,6] => 110010 => 2
[5,3,1,4,7,6,2] => 110011 => 1
[5,3,1,6,2,4,7] => 110100 => 2
[5,3,1,6,2,7,4] => 110101 => 2
[5,3,1,6,4,2,7] => 110110 => 2
[5,3,1,6,4,7,2] => 110101 => 2
[5,3,1,6,7,2,4] => 110010 => 2
[5,3,1,6,7,4,2] => 110011 => 1
[5,3,1,7,2,4,6] => 110100 => 2
[5,3,1,7,2,6,4] => 110101 => 2
[5,3,1,7,4,2,6] => 110110 => 2
[5,3,1,7,4,6,2] => 110101 => 2
[5,3,1,7,6,2,4] => 110110 => 2
[5,3,1,7,6,4,2] => 110111 => 1
[5,3,2,1,4,6,7] => 111000 => 1
[5,3,2,1,4,7,6] => 111001 => 1
[5,3,2,1,6,4,7] => 111010 => 2
[5,3,2,1,6,7,4] => 111001 => 1
[5,3,2,1,7,4,6] => 111010 => 2
[5,3,2,1,7,6,4] => 111011 => 1
[5,3,2,4,1,6,7] => 110100 => 2
[5,3,2,4,1,7,6] => 110101 => 2
[5,3,2,4,6,1,7] => 110010 => 2
[5,3,2,4,6,7,1] => 110001 => 1
[5,3,2,4,7,1,6] => 110010 => 2
[5,3,2,4,7,6,1] => 110011 => 1
[5,3,2,6,1,4,7] => 110100 => 2
[5,3,2,6,1,7,4] => 110101 => 2
[5,3,2,6,4,1,7] => 110110 => 2
[5,3,2,6,4,7,1] => 110101 => 2
[5,3,2,6,7,1,4] => 110010 => 2
[5,3,2,6,7,4,1] => 110011 => 1
[5,3,2,7,1,4,6] => 110100 => 2
[5,3,2,7,1,6,4] => 110101 => 2
[5,3,2,7,4,1,6] => 110110 => 2
[5,3,2,7,4,6,1] => 110101 => 2
[5,3,2,7,6,1,4] => 110110 => 2
[5,3,2,7,6,4,1] => 110111 => 1
[5,3,4,1,2,6,7] => 101000 => 2
[5,3,4,1,2,7,6] => 101001 => 2
[5,3,4,1,6,2,7] => 101010 => 3
[5,3,4,1,6,7,2] => 101001 => 2
[5,3,4,1,7,2,6] => 101010 => 3
[5,3,4,1,7,6,2] => 101011 => 2
[5,3,4,2,1,6,7] => 101100 => 2
[5,3,4,2,1,7,6] => 101101 => 2
[5,3,4,2,6,1,7] => 101010 => 3
[5,3,4,2,6,7,1] => 101001 => 2
[5,3,4,2,7,1,6] => 101010 => 3
[5,3,4,2,7,6,1] => 101011 => 2
[5,3,4,6,1,2,7] => 100100 => 2
[5,3,4,6,1,7,2] => 100101 => 2
[5,3,4,6,2,1,7] => 100110 => 2
[5,3,4,6,2,7,1] => 100101 => 2
[5,3,4,6,7,1,2] => 100010 => 2
[5,3,4,6,7,2,1] => 100011 => 1
[5,3,4,7,1,2,6] => 100100 => 2
[5,3,4,7,1,6,2] => 100101 => 2
[5,3,4,7,2,1,6] => 100110 => 2
[5,3,4,7,2,6,1] => 100101 => 2
[5,3,4,7,6,1,2] => 100110 => 2
[5,3,4,7,6,2,1] => 100111 => 1
[5,3,6,1,2,4,7] => 101000 => 2
[5,3,6,1,2,7,4] => 101001 => 2
[5,3,6,1,4,2,7] => 101010 => 3
[5,3,6,1,4,7,2] => 101001 => 2
[5,3,6,1,7,2,4] => 101010 => 3
[5,3,6,1,7,4,2] => 101011 => 2
[5,3,6,2,1,4,7] => 101100 => 2
[5,3,6,2,1,7,4] => 101101 => 2
[5,3,6,2,4,1,7] => 101010 => 3
[5,3,6,2,4,7,1] => 101001 => 2
[5,3,6,2,7,1,4] => 101010 => 3
[5,3,6,2,7,4,1] => 101011 => 2
[5,3,6,4,1,2,7] => 101100 => 2
[5,3,6,4,1,7,2] => 101101 => 2
[5,3,6,4,2,1,7] => 101110 => 2
[5,3,6,4,2,7,1] => 101101 => 2
[5,3,6,4,7,1,2] => 101010 => 3
[5,3,6,4,7,2,1] => 101011 => 2
[5,3,6,7,1,2,4] => 100100 => 2
[5,3,6,7,1,4,2] => 100101 => 2
[5,3,6,7,2,1,4] => 100110 => 2
[5,3,6,7,2,4,1] => 100101 => 2
[5,3,6,7,4,1,2] => 100110 => 2
[5,3,6,7,4,2,1] => 100111 => 1
[5,3,7,1,2,4,6] => 101000 => 2
[5,3,7,1,2,6,4] => 101001 => 2
[5,3,7,1,4,2,6] => 101010 => 3
[5,3,7,1,4,6,2] => 101001 => 2
[5,3,7,1,6,2,4] => 101010 => 3
[5,3,7,1,6,4,2] => 101011 => 2
[5,3,7,2,1,4,6] => 101100 => 2
[5,3,7,2,1,6,4] => 101101 => 2
[5,3,7,2,4,1,6] => 101010 => 3
[5,3,7,2,4,6,1] => 101001 => 2
[5,3,7,2,6,1,4] => 101010 => 3
[5,3,7,2,6,4,1] => 101011 => 2
[5,3,7,4,1,2,6] => 101100 => 2
[5,3,7,4,1,6,2] => 101101 => 2
[5,3,7,4,2,1,6] => 101110 => 2
[5,3,7,4,2,6,1] => 101101 => 2
[5,3,7,4,6,1,2] => 101010 => 3
[5,3,7,4,6,2,1] => 101011 => 2
[5,3,7,6,1,2,4] => 101100 => 2
[5,3,7,6,1,4,2] => 101101 => 2
[5,3,7,6,2,1,4] => 101110 => 2
[5,3,7,6,2,4,1] => 101101 => 2
[5,3,7,6,4,1,2] => 101110 => 2
[5,3,7,6,4,2,1] => 101111 => 1
[5,4,1,2,3,6,7] => 110000 => 1
[5,4,1,2,3,7,6] => 110001 => 1
[5,4,1,2,6,3,7] => 110010 => 2
[5,4,1,2,6,7,3] => 110001 => 1
[5,4,1,2,7,3,6] => 110010 => 2
[5,4,1,2,7,6,3] => 110011 => 1
[5,4,1,3,2,6,7] => 110100 => 2
[5,4,1,3,2,7,6] => 110101 => 2
[5,4,1,3,6,2,7] => 110010 => 2
[5,4,1,3,6,7,2] => 110001 => 1
[5,4,1,3,7,2,6] => 110010 => 2
[5,4,1,3,7,6,2] => 110011 => 1
[5,4,1,6,2,3,7] => 110100 => 2
[5,4,1,6,2,7,3] => 110101 => 2
[5,4,1,6,3,2,7] => 110110 => 2
[5,4,1,6,3,7,2] => 110101 => 2
[5,4,1,6,7,2,3] => 110010 => 2
[5,4,1,6,7,3,2] => 110011 => 1
[5,4,1,7,2,3,6] => 110100 => 2
[5,4,1,7,2,6,3] => 110101 => 2
[5,4,1,7,3,2,6] => 110110 => 2
[5,4,1,7,3,6,2] => 110101 => 2
[5,4,1,7,6,2,3] => 110110 => 2
[5,4,1,7,6,3,2] => 110111 => 1
[5,4,2,1,3,6,7] => 111000 => 1
[5,4,2,1,3,7,6] => 111001 => 1
[5,4,2,1,6,3,7] => 111010 => 2
[5,4,2,1,6,7,3] => 111001 => 1
[5,4,2,1,7,3,6] => 111010 => 2
[5,4,2,1,7,6,3] => 111011 => 1
[5,4,2,3,1,6,7] => 110100 => 2
[5,4,2,3,1,7,6] => 110101 => 2
[5,4,2,3,6,1,7] => 110010 => 2
[5,4,2,3,6,7,1] => 110001 => 1
[5,4,2,3,7,1,6] => 110010 => 2
[5,4,2,3,7,6,1] => 110011 => 1
[5,4,2,6,1,3,7] => 110100 => 2
[5,4,2,6,1,7,3] => 110101 => 2
[5,4,2,6,3,1,7] => 110110 => 2
[5,4,2,6,3,7,1] => 110101 => 2
[5,4,2,6,7,1,3] => 110010 => 2
[5,4,2,6,7,3,1] => 110011 => 1
[5,4,2,7,1,3,6] => 110100 => 2
[5,4,2,7,1,6,3] => 110101 => 2
[5,4,2,7,3,1,6] => 110110 => 2
[5,4,2,7,3,6,1] => 110101 => 2
[5,4,2,7,6,1,3] => 110110 => 2
[5,4,2,7,6,3,1] => 110111 => 1
[5,4,3,1,2,6,7] => 111000 => 1
[5,4,3,1,2,7,6] => 111001 => 1
[5,4,3,1,6,2,7] => 111010 => 2
[5,4,3,1,6,7,2] => 111001 => 1
[5,4,3,1,7,2,6] => 111010 => 2
[5,4,3,1,7,6,2] => 111011 => 1
[5,4,3,2,1,6,7] => 111100 => 1
[5,4,3,2,1,7,6] => 111101 => 1
[5,4,3,2,6,1,7] => 111010 => 2
[5,4,3,2,6,7,1] => 111001 => 1
[5,4,3,2,7,1,6] => 111010 => 2
[5,4,3,2,7,6,1] => 111011 => 1
[5,4,3,6,1,2,7] => 110100 => 2
[5,4,3,6,1,7,2] => 110101 => 2
[5,4,3,6,2,1,7] => 110110 => 2
[5,4,3,6,2,7,1] => 110101 => 2
[5,4,3,6,7,1,2] => 110010 => 2
[5,4,3,6,7,2,1] => 110011 => 1
[5,4,3,7,1,2,6] => 110100 => 2
[5,4,3,7,1,6,2] => 110101 => 2
[5,4,3,7,2,1,6] => 110110 => 2
[5,4,3,7,2,6,1] => 110101 => 2
[5,4,3,7,6,1,2] => 110110 => 2
[5,4,3,7,6,2,1] => 110111 => 1
[5,4,6,1,2,3,7] => 101000 => 2
[5,4,6,1,2,7,3] => 101001 => 2
[5,4,6,1,3,2,7] => 101010 => 3
[5,4,6,1,3,7,2] => 101001 => 2
[5,4,6,1,7,2,3] => 101010 => 3
[5,4,6,1,7,3,2] => 101011 => 2
[5,4,6,2,1,3,7] => 101100 => 2
[5,4,6,2,1,7,3] => 101101 => 2
[5,4,6,2,3,1,7] => 101010 => 3
[5,4,6,2,3,7,1] => 101001 => 2
[5,4,6,2,7,1,3] => 101010 => 3
[5,4,6,2,7,3,1] => 101011 => 2
[5,4,6,3,1,2,7] => 101100 => 2
[5,4,6,3,1,7,2] => 101101 => 2
[5,4,6,3,2,1,7] => 101110 => 2
[5,4,6,3,2,7,1] => 101101 => 2
[5,4,6,3,7,1,2] => 101010 => 3
[5,4,6,3,7,2,1] => 101011 => 2
[5,4,6,7,1,2,3] => 100100 => 2
[5,4,6,7,1,3,2] => 100101 => 2
[5,4,6,7,2,1,3] => 100110 => 2
[5,4,6,7,2,3,1] => 100101 => 2
[5,4,6,7,3,1,2] => 100110 => 2
[5,4,6,7,3,2,1] => 100111 => 1
[5,4,7,1,2,3,6] => 101000 => 2
[5,4,7,1,2,6,3] => 101001 => 2
[5,4,7,1,3,2,6] => 101010 => 3
[5,4,7,1,3,6,2] => 101001 => 2
[5,4,7,1,6,2,3] => 101010 => 3
[5,4,7,1,6,3,2] => 101011 => 2
[5,4,7,2,1,3,6] => 101100 => 2
[5,4,7,2,1,6,3] => 101101 => 2
[5,4,7,2,3,1,6] => 101010 => 3
[5,4,7,2,3,6,1] => 101001 => 2
[5,4,7,2,6,1,3] => 101010 => 3
[5,4,7,2,6,3,1] => 101011 => 2
[5,4,7,3,1,2,6] => 101100 => 2
[5,4,7,3,1,6,2] => 101101 => 2
[5,4,7,3,2,1,6] => 101110 => 2
[5,4,7,3,2,6,1] => 101101 => 2
[5,4,7,3,6,1,2] => 101010 => 3
[5,4,7,3,6,2,1] => 101011 => 2
[5,4,7,6,1,2,3] => 101100 => 2
[5,4,7,6,1,3,2] => 101101 => 2
[5,4,7,6,2,1,3] => 101110 => 2
[5,4,7,6,2,3,1] => 101101 => 2
[5,4,7,6,3,1,2] => 101110 => 2
[5,4,7,6,3,2,1] => 101111 => 1
[5,6,1,2,3,4,7] => 010000 => 1
[5,6,1,2,3,7,4] => 010001 => 1
[5,6,1,2,4,3,7] => 010010 => 2
[5,6,1,2,4,7,3] => 010001 => 1
[5,6,1,2,7,3,4] => 010010 => 2
[5,6,1,2,7,4,3] => 010011 => 1
[5,6,1,3,2,4,7] => 010100 => 2
[5,6,1,3,2,7,4] => 010101 => 2
[5,6,1,3,4,2,7] => 010010 => 2
[5,6,1,3,4,7,2] => 010001 => 1
[5,6,1,3,7,2,4] => 010010 => 2
[5,6,1,3,7,4,2] => 010011 => 1
[5,6,1,4,2,3,7] => 010100 => 2
[5,6,1,4,2,7,3] => 010101 => 2
[5,6,1,4,3,2,7] => 010110 => 2
[5,6,1,4,3,7,2] => 010101 => 2
[5,6,1,4,7,2,3] => 010010 => 2
[5,6,1,4,7,3,2] => 010011 => 1
[5,6,1,7,2,3,4] => 010100 => 2
[5,6,1,7,2,4,3] => 010101 => 2
[5,6,1,7,3,2,4] => 010110 => 2
[5,6,1,7,3,4,2] => 010101 => 2
[5,6,1,7,4,2,3] => 010110 => 2
[5,6,1,7,4,3,2] => 010111 => 1
[5,6,2,1,3,4,7] => 011000 => 1
[5,6,2,1,3,7,4] => 011001 => 1
[5,6,2,1,4,3,7] => 011010 => 2
[5,6,2,1,4,7,3] => 011001 => 1
[5,6,2,1,7,3,4] => 011010 => 2
[5,6,2,1,7,4,3] => 011011 => 1
[5,6,2,3,1,4,7] => 010100 => 2
[5,6,2,3,1,7,4] => 010101 => 2
[5,6,2,3,4,1,7] => 010010 => 2
[5,6,2,3,4,7,1] => 010001 => 1
[5,6,2,3,7,1,4] => 010010 => 2
[5,6,2,3,7,4,1] => 010011 => 1
[5,6,2,4,1,3,7] => 010100 => 2
[5,6,2,4,1,7,3] => 010101 => 2
[5,6,2,4,3,1,7] => 010110 => 2
[5,6,2,4,3,7,1] => 010101 => 2
[5,6,2,4,7,1,3] => 010010 => 2
[5,6,2,4,7,3,1] => 010011 => 1
[5,6,2,7,1,3,4] => 010100 => 2
[5,6,2,7,1,4,3] => 010101 => 2
[5,6,2,7,3,1,4] => 010110 => 2
[5,6,2,7,3,4,1] => 010101 => 2
[5,6,2,7,4,1,3] => 010110 => 2
[5,6,2,7,4,3,1] => 010111 => 1
[5,6,3,1,2,4,7] => 011000 => 1
[5,6,3,1,2,7,4] => 011001 => 1
[5,6,3,1,4,2,7] => 011010 => 2
[5,6,3,1,4,7,2] => 011001 => 1
[5,6,3,1,7,2,4] => 011010 => 2
[5,6,3,1,7,4,2] => 011011 => 1
[5,6,3,2,1,4,7] => 011100 => 1
[5,6,3,2,1,7,4] => 011101 => 1
[5,6,3,2,4,1,7] => 011010 => 2
[5,6,3,2,4,7,1] => 011001 => 1
[5,6,3,2,7,1,4] => 011010 => 2
[5,6,3,2,7,4,1] => 011011 => 1
[5,6,3,4,1,2,7] => 010100 => 2
[5,6,3,4,1,7,2] => 010101 => 2
[5,6,3,4,2,1,7] => 010110 => 2
[5,6,3,4,2,7,1] => 010101 => 2
[5,6,3,4,7,1,2] => 010010 => 2
[5,6,3,4,7,2,1] => 010011 => 1
[5,6,3,7,1,2,4] => 010100 => 2
[5,6,3,7,1,4,2] => 010101 => 2
[5,6,3,7,2,1,4] => 010110 => 2
[5,6,3,7,2,4,1] => 010101 => 2
[5,6,3,7,4,1,2] => 010110 => 2
[5,6,3,7,4,2,1] => 010111 => 1
[5,6,4,1,2,3,7] => 011000 => 1
[5,6,4,1,2,7,3] => 011001 => 1
[5,6,4,1,3,2,7] => 011010 => 2
[5,6,4,1,3,7,2] => 011001 => 1
[5,6,4,1,7,2,3] => 011010 => 2
[5,6,4,1,7,3,2] => 011011 => 1
[5,6,4,2,1,3,7] => 011100 => 1
[5,6,4,2,1,7,3] => 011101 => 1
[5,6,4,2,3,1,7] => 011010 => 2
[5,6,4,2,3,7,1] => 011001 => 1
[5,6,4,2,7,1,3] => 011010 => 2
[5,6,4,2,7,3,1] => 011011 => 1
[5,6,4,3,1,2,7] => 011100 => 1
[5,6,4,3,1,7,2] => 011101 => 1
[5,6,4,3,2,1,7] => 011110 => 1
[5,6,4,3,2,7,1] => 011101 => 1
[5,6,4,3,7,1,2] => 011010 => 2
[5,6,4,3,7,2,1] => 011011 => 1
[5,6,4,7,1,2,3] => 010100 => 2
[5,6,4,7,1,3,2] => 010101 => 2
[5,6,4,7,2,1,3] => 010110 => 2
[5,6,4,7,2,3,1] => 010101 => 2
[5,6,4,7,3,1,2] => 010110 => 2
[5,6,4,7,3,2,1] => 010111 => 1
[5,6,7,1,2,3,4] => 001000 => 1
[5,6,7,1,2,4,3] => 001001 => 1
[5,6,7,1,3,2,4] => 001010 => 2
[5,6,7,1,3,4,2] => 001001 => 1
[5,6,7,1,4,2,3] => 001010 => 2
[5,6,7,1,4,3,2] => 001011 => 1
[5,6,7,2,1,3,4] => 001100 => 1
[5,6,7,2,1,4,3] => 001101 => 1
[5,6,7,2,3,1,4] => 001010 => 2
[5,6,7,2,3,4,1] => 001001 => 1
[5,6,7,2,4,1,3] => 001010 => 2
[5,6,7,2,4,3,1] => 001011 => 1
[5,6,7,3,1,2,4] => 001100 => 1
[5,6,7,3,1,4,2] => 001101 => 1
[5,6,7,3,2,1,4] => 001110 => 1
[5,6,7,3,2,4,1] => 001101 => 1
[5,6,7,3,4,1,2] => 001010 => 2
[5,6,7,3,4,2,1] => 001011 => 1
[5,6,7,4,1,2,3] => 001100 => 1
[5,6,7,4,1,3,2] => 001101 => 1
[5,6,7,4,2,1,3] => 001110 => 1
[5,6,7,4,2,3,1] => 001101 => 1
[5,6,7,4,3,1,2] => 001110 => 1
[5,6,7,4,3,2,1] => 001111 => 0
[5,7,1,2,3,4,6] => 010000 => 1
[5,7,1,2,3,6,4] => 010001 => 1
[5,7,1,2,4,3,6] => 010010 => 2
[5,7,1,2,4,6,3] => 010001 => 1
[5,7,1,2,6,3,4] => 010010 => 2
[5,7,1,2,6,4,3] => 010011 => 1
[5,7,1,3,2,4,6] => 010100 => 2
[5,7,1,3,2,6,4] => 010101 => 2
[5,7,1,3,4,2,6] => 010010 => 2
[5,7,1,3,4,6,2] => 010001 => 1
[5,7,1,3,6,2,4] => 010010 => 2
[5,7,1,3,6,4,2] => 010011 => 1
[5,7,1,4,2,3,6] => 010100 => 2
[5,7,1,4,2,6,3] => 010101 => 2
[5,7,1,4,3,2,6] => 010110 => 2
[5,7,1,4,3,6,2] => 010101 => 2
[5,7,1,4,6,2,3] => 010010 => 2
[5,7,1,4,6,3,2] => 010011 => 1
[5,7,1,6,2,3,4] => 010100 => 2
[5,7,1,6,2,4,3] => 010101 => 2
[5,7,1,6,3,2,4] => 010110 => 2
[5,7,1,6,3,4,2] => 010101 => 2
[5,7,1,6,4,2,3] => 010110 => 2
[5,7,1,6,4,3,2] => 010111 => 1
[5,7,2,1,3,4,6] => 011000 => 1
[5,7,2,1,3,6,4] => 011001 => 1
[5,7,2,1,4,3,6] => 011010 => 2
[5,7,2,1,4,6,3] => 011001 => 1
[5,7,2,1,6,3,4] => 011010 => 2
[5,7,2,1,6,4,3] => 011011 => 1
[5,7,2,3,1,4,6] => 010100 => 2
[5,7,2,3,1,6,4] => 010101 => 2
[5,7,2,3,4,1,6] => 010010 => 2
[5,7,2,3,4,6,1] => 010001 => 1
[5,7,2,3,6,1,4] => 010010 => 2
[5,7,2,3,6,4,1] => 010011 => 1
[5,7,2,4,1,3,6] => 010100 => 2
[5,7,2,4,1,6,3] => 010101 => 2
[5,7,2,4,3,1,6] => 010110 => 2
[5,7,2,4,3,6,1] => 010101 => 2
[5,7,2,4,6,1,3] => 010010 => 2
[5,7,2,4,6,3,1] => 010011 => 1
[5,7,2,6,1,3,4] => 010100 => 2
[5,7,2,6,1,4,3] => 010101 => 2
[5,7,2,6,3,1,4] => 010110 => 2
[5,7,2,6,3,4,1] => 010101 => 2
[5,7,2,6,4,1,3] => 010110 => 2
[5,7,2,6,4,3,1] => 010111 => 1
[5,7,3,1,2,4,6] => 011000 => 1
[5,7,3,1,2,6,4] => 011001 => 1
[5,7,3,1,4,2,6] => 011010 => 2
[5,7,3,1,4,6,2] => 011001 => 1
[5,7,3,1,6,2,4] => 011010 => 2
[5,7,3,1,6,4,2] => 011011 => 1
[5,7,3,2,1,4,6] => 011100 => 1
[5,7,3,2,1,6,4] => 011101 => 1
[5,7,3,2,4,1,6] => 011010 => 2
[5,7,3,2,4,6,1] => 011001 => 1
[5,7,3,2,6,1,4] => 011010 => 2
[5,7,3,2,6,4,1] => 011011 => 1
[5,7,3,4,1,2,6] => 010100 => 2
[5,7,3,4,1,6,2] => 010101 => 2
[5,7,3,4,2,1,6] => 010110 => 2
[5,7,3,4,2,6,1] => 010101 => 2
[5,7,3,4,6,1,2] => 010010 => 2
[5,7,3,4,6,2,1] => 010011 => 1
[5,7,3,6,1,2,4] => 010100 => 2
[5,7,3,6,1,4,2] => 010101 => 2
[5,7,3,6,2,1,4] => 010110 => 2
[5,7,3,6,2,4,1] => 010101 => 2
[5,7,3,6,4,1,2] => 010110 => 2
[5,7,3,6,4,2,1] => 010111 => 1
[5,7,4,1,2,3,6] => 011000 => 1
[5,7,4,1,2,6,3] => 011001 => 1
[5,7,4,1,3,2,6] => 011010 => 2
[5,7,4,1,3,6,2] => 011001 => 1
[5,7,4,1,6,2,3] => 011010 => 2
[5,7,4,1,6,3,2] => 011011 => 1
[5,7,4,2,1,3,6] => 011100 => 1
[5,7,4,2,1,6,3] => 011101 => 1
[5,7,4,2,3,1,6] => 011010 => 2
[5,7,4,2,3,6,1] => 011001 => 1
[5,7,4,2,6,1,3] => 011010 => 2
[5,7,4,2,6,3,1] => 011011 => 1
[5,7,4,3,1,2,6] => 011100 => 1
[5,7,4,3,1,6,2] => 011101 => 1
[5,7,4,3,2,1,6] => 011110 => 1
[5,7,4,3,2,6,1] => 011101 => 1
[5,7,4,3,6,1,2] => 011010 => 2
[5,7,4,3,6,2,1] => 011011 => 1
[5,7,4,6,1,2,3] => 010100 => 2
[5,7,4,6,1,3,2] => 010101 => 2
[5,7,4,6,2,1,3] => 010110 => 2
[5,7,4,6,2,3,1] => 010101 => 2
[5,7,4,6,3,1,2] => 010110 => 2
[5,7,4,6,3,2,1] => 010111 => 1
[5,7,6,1,2,3,4] => 011000 => 1
[5,7,6,1,2,4,3] => 011001 => 1
[5,7,6,1,3,2,4] => 011010 => 2
[5,7,6,1,3,4,2] => 011001 => 1
[5,7,6,1,4,2,3] => 011010 => 2
[5,7,6,1,4,3,2] => 011011 => 1
[5,7,6,2,1,3,4] => 011100 => 1
[5,7,6,2,1,4,3] => 011101 => 1
[5,7,6,2,3,1,4] => 011010 => 2
[5,7,6,2,3,4,1] => 011001 => 1
[5,7,6,2,4,1,3] => 011010 => 2
[5,7,6,2,4,3,1] => 011011 => 1
[5,7,6,3,1,2,4] => 011100 => 1
[5,7,6,3,1,4,2] => 011101 => 1
[5,7,6,3,2,1,4] => 011110 => 1
[5,7,6,3,2,4,1] => 011101 => 1
[5,7,6,3,4,1,2] => 011010 => 2
[5,7,6,3,4,2,1] => 011011 => 1
[5,7,6,4,1,2,3] => 011100 => 1
[5,7,6,4,1,3,2] => 011101 => 1
[5,7,6,4,2,1,3] => 011110 => 1
[5,7,6,4,2,3,1] => 011101 => 1
[5,7,6,4,3,1,2] => 011110 => 1
[5,7,6,4,3,2,1] => 011111 => 0
[6,1,2,3,4,5,7] => 100000 => 1
[6,1,2,3,4,7,5] => 100001 => 1
[6,1,2,3,5,4,7] => 100010 => 2
[6,1,2,3,5,7,4] => 100001 => 1
[6,1,2,3,7,4,5] => 100010 => 2
[6,1,2,3,7,5,4] => 100011 => 1
[6,1,2,4,3,5,7] => 100100 => 2
[6,1,2,4,3,7,5] => 100101 => 2
[6,1,2,4,5,3,7] => 100010 => 2
[6,1,2,4,5,7,3] => 100001 => 1
[6,1,2,4,7,3,5] => 100010 => 2
[6,1,2,4,7,5,3] => 100011 => 1
[6,1,2,5,3,4,7] => 100100 => 2
[6,1,2,5,3,7,4] => 100101 => 2
[6,1,2,5,4,3,7] => 100110 => 2
[6,1,2,5,4,7,3] => 100101 => 2
[6,1,2,5,7,3,4] => 100010 => 2
[6,1,2,5,7,4,3] => 100011 => 1
[6,1,2,7,3,4,5] => 100100 => 2
[6,1,2,7,3,5,4] => 100101 => 2
[6,1,2,7,4,3,5] => 100110 => 2
[6,1,2,7,4,5,3] => 100101 => 2
[6,1,2,7,5,3,4] => 100110 => 2
[6,1,2,7,5,4,3] => 100111 => 1
[6,1,3,2,4,5,7] => 101000 => 2
[6,1,3,2,4,7,5] => 101001 => 2
[6,1,3,2,5,4,7] => 101010 => 3
[6,1,3,2,5,7,4] => 101001 => 2
[6,1,3,2,7,4,5] => 101010 => 3
[6,1,3,2,7,5,4] => 101011 => 2
[6,1,3,4,2,5,7] => 100100 => 2
[6,1,3,4,2,7,5] => 100101 => 2
[6,1,3,4,5,2,7] => 100010 => 2
[6,1,3,4,5,7,2] => 100001 => 1
[6,1,3,4,7,2,5] => 100010 => 2
[6,1,3,4,7,5,2] => 100011 => 1
[6,1,3,5,2,4,7] => 100100 => 2
[6,1,3,5,2,7,4] => 100101 => 2
[6,1,3,5,4,2,7] => 100110 => 2
[6,1,3,5,4,7,2] => 100101 => 2
[6,1,3,5,7,2,4] => 100010 => 2
[6,1,3,5,7,4,2] => 100011 => 1
[6,1,3,7,2,4,5] => 100100 => 2
[6,1,3,7,2,5,4] => 100101 => 2
[6,1,3,7,4,2,5] => 100110 => 2
[6,1,3,7,4,5,2] => 100101 => 2
[6,1,3,7,5,2,4] => 100110 => 2
[6,1,3,7,5,4,2] => 100111 => 1
[6,1,4,2,3,5,7] => 101000 => 2
[6,1,4,2,3,7,5] => 101001 => 2
[6,1,4,2,5,3,7] => 101010 => 3
[6,1,4,2,5,7,3] => 101001 => 2
[6,1,4,2,7,3,5] => 101010 => 3
[6,1,4,2,7,5,3] => 101011 => 2
[6,1,4,3,2,5,7] => 101100 => 2
[6,1,4,3,2,7,5] => 101101 => 2
[6,1,4,3,5,2,7] => 101010 => 3
[6,1,4,3,5,7,2] => 101001 => 2
[6,1,4,3,7,2,5] => 101010 => 3
[6,1,4,3,7,5,2] => 101011 => 2
[6,1,4,5,2,3,7] => 100100 => 2
[6,1,4,5,2,7,3] => 100101 => 2
[6,1,4,5,3,2,7] => 100110 => 2
[6,1,4,5,3,7,2] => 100101 => 2
[6,1,4,5,7,2,3] => 100010 => 2
[6,1,4,5,7,3,2] => 100011 => 1
[6,1,4,7,2,3,5] => 100100 => 2
[6,1,4,7,2,5,3] => 100101 => 2
[6,1,4,7,3,2,5] => 100110 => 2
[6,1,4,7,3,5,2] => 100101 => 2
[6,1,4,7,5,2,3] => 100110 => 2
[6,1,4,7,5,3,2] => 100111 => 1
[6,1,5,2,3,4,7] => 101000 => 2
[6,1,5,2,3,7,4] => 101001 => 2
[6,1,5,2,4,3,7] => 101010 => 3
[6,1,5,2,4,7,3] => 101001 => 2
[6,1,5,2,7,3,4] => 101010 => 3
[6,1,5,2,7,4,3] => 101011 => 2
[6,1,5,3,2,4,7] => 101100 => 2
[6,1,5,3,2,7,4] => 101101 => 2
[6,1,5,3,4,2,7] => 101010 => 3
[6,1,5,3,4,7,2] => 101001 => 2
[6,1,5,3,7,2,4] => 101010 => 3
[6,1,5,3,7,4,2] => 101011 => 2
[6,1,5,4,2,3,7] => 101100 => 2
[6,1,5,4,2,7,3] => 101101 => 2
[6,1,5,4,3,2,7] => 101110 => 2
[6,1,5,4,3,7,2] => 101101 => 2
[6,1,5,4,7,2,3] => 101010 => 3
[6,1,5,4,7,3,2] => 101011 => 2
[6,1,5,7,2,3,4] => 100100 => 2
[6,1,5,7,2,4,3] => 100101 => 2
[6,1,5,7,3,2,4] => 100110 => 2
[6,1,5,7,3,4,2] => 100101 => 2
[6,1,5,7,4,2,3] => 100110 => 2
[6,1,5,7,4,3,2] => 100111 => 1
[6,1,7,2,3,4,5] => 101000 => 2
[6,1,7,2,3,5,4] => 101001 => 2
[6,1,7,2,4,3,5] => 101010 => 3
[6,1,7,2,4,5,3] => 101001 => 2
[6,1,7,2,5,3,4] => 101010 => 3
[6,1,7,2,5,4,3] => 101011 => 2
[6,1,7,3,2,4,5] => 101100 => 2
[6,1,7,3,2,5,4] => 101101 => 2
[6,1,7,3,4,2,5] => 101010 => 3
[6,1,7,3,4,5,2] => 101001 => 2
[6,1,7,3,5,2,4] => 101010 => 3
[6,1,7,3,5,4,2] => 101011 => 2
[6,1,7,4,2,3,5] => 101100 => 2
[6,1,7,4,2,5,3] => 101101 => 2
[6,1,7,4,3,2,5] => 101110 => 2
[6,1,7,4,3,5,2] => 101101 => 2
[6,1,7,4,5,2,3] => 101010 => 3
[6,1,7,4,5,3,2] => 101011 => 2
[6,1,7,5,2,3,4] => 101100 => 2
[6,1,7,5,2,4,3] => 101101 => 2
[6,1,7,5,3,2,4] => 101110 => 2
[6,1,7,5,3,4,2] => 101101 => 2
[6,1,7,5,4,2,3] => 101110 => 2
[6,1,7,5,4,3,2] => 101111 => 1
[6,2,1,3,4,5,7] => 110000 => 1
[6,2,1,3,4,7,5] => 110001 => 1
[6,2,1,3,5,4,7] => 110010 => 2
[6,2,1,3,5,7,4] => 110001 => 1
[6,2,1,3,7,4,5] => 110010 => 2
[6,2,1,3,7,5,4] => 110011 => 1
[6,2,1,4,3,5,7] => 110100 => 2
[6,2,1,4,3,7,5] => 110101 => 2
[6,2,1,4,5,3,7] => 110010 => 2
[6,2,1,4,5,7,3] => 110001 => 1
[6,2,1,4,7,3,5] => 110010 => 2
[6,2,1,4,7,5,3] => 110011 => 1
[6,2,1,5,3,4,7] => 110100 => 2
[6,2,1,5,3,7,4] => 110101 => 2
[6,2,1,5,4,3,7] => 110110 => 2
[6,2,1,5,4,7,3] => 110101 => 2
[6,2,1,5,7,3,4] => 110010 => 2
[6,2,1,5,7,4,3] => 110011 => 1
[6,2,1,7,3,4,5] => 110100 => 2
[6,2,1,7,3,5,4] => 110101 => 2
[6,2,1,7,4,3,5] => 110110 => 2
[6,2,1,7,4,5,3] => 110101 => 2
[6,2,1,7,5,3,4] => 110110 => 2
[6,2,1,7,5,4,3] => 110111 => 1
[6,2,3,1,4,5,7] => 101000 => 2
[6,2,3,1,4,7,5] => 101001 => 2
[6,2,3,1,5,4,7] => 101010 => 3
[6,2,3,1,5,7,4] => 101001 => 2
[6,2,3,1,7,4,5] => 101010 => 3
[6,2,3,1,7,5,4] => 101011 => 2
[6,2,3,4,1,5,7] => 100100 => 2
[6,2,3,4,1,7,5] => 100101 => 2
[6,2,3,4,5,1,7] => 100010 => 2
[6,2,3,4,5,7,1] => 100001 => 1
[6,2,3,4,7,1,5] => 100010 => 2
[6,2,3,4,7,5,1] => 100011 => 1
[6,2,3,5,1,4,7] => 100100 => 2
[6,2,3,5,1,7,4] => 100101 => 2
[6,2,3,5,4,1,7] => 100110 => 2
[6,2,3,5,4,7,1] => 100101 => 2
[6,2,3,5,7,1,4] => 100010 => 2
[6,2,3,5,7,4,1] => 100011 => 1
[6,2,3,7,1,4,5] => 100100 => 2
[6,2,3,7,1,5,4] => 100101 => 2
[6,2,3,7,4,1,5] => 100110 => 2
[6,2,3,7,4,5,1] => 100101 => 2
[6,2,3,7,5,1,4] => 100110 => 2
[6,2,3,7,5,4,1] => 100111 => 1
[6,2,4,1,3,5,7] => 101000 => 2
[6,2,4,1,3,7,5] => 101001 => 2
[6,2,4,1,5,3,7] => 101010 => 3
[6,2,4,1,5,7,3] => 101001 => 2
[6,2,4,1,7,3,5] => 101010 => 3
[6,2,4,1,7,5,3] => 101011 => 2
[6,2,4,3,1,5,7] => 101100 => 2
[6,2,4,3,1,7,5] => 101101 => 2
[6,2,4,3,5,1,7] => 101010 => 3
[6,2,4,3,5,7,1] => 101001 => 2
[6,2,4,3,7,1,5] => 101010 => 3
[6,2,4,3,7,5,1] => 101011 => 2
[6,2,4,5,1,3,7] => 100100 => 2
[6,2,4,5,1,7,3] => 100101 => 2
[6,2,4,5,3,1,7] => 100110 => 2
[6,2,4,5,3,7,1] => 100101 => 2
[6,2,4,5,7,1,3] => 100010 => 2
[6,2,4,5,7,3,1] => 100011 => 1
[6,2,4,7,1,3,5] => 100100 => 2
[6,2,4,7,1,5,3] => 100101 => 2
[6,2,4,7,3,1,5] => 100110 => 2
[6,2,4,7,3,5,1] => 100101 => 2
[6,2,4,7,5,1,3] => 100110 => 2
[6,2,4,7,5,3,1] => 100111 => 1
[6,2,5,1,3,4,7] => 101000 => 2
[6,2,5,1,3,7,4] => 101001 => 2
[6,2,5,1,4,3,7] => 101010 => 3
[6,2,5,1,4,7,3] => 101001 => 2
[6,2,5,1,7,3,4] => 101010 => 3
[6,2,5,1,7,4,3] => 101011 => 2
[6,2,5,3,1,4,7] => 101100 => 2
[6,2,5,3,1,7,4] => 101101 => 2
[6,2,5,3,4,1,7] => 101010 => 3
[6,2,5,3,4,7,1] => 101001 => 2
[6,2,5,3,7,1,4] => 101010 => 3
[6,2,5,3,7,4,1] => 101011 => 2
[6,2,5,4,1,3,7] => 101100 => 2
[6,2,5,4,1,7,3] => 101101 => 2
[6,2,5,4,3,1,7] => 101110 => 2
[6,2,5,4,3,7,1] => 101101 => 2
[6,2,5,4,7,1,3] => 101010 => 3
[6,2,5,4,7,3,1] => 101011 => 2
[6,2,5,7,1,3,4] => 100100 => 2
[6,2,5,7,1,4,3] => 100101 => 2
[6,2,5,7,3,1,4] => 100110 => 2
[6,2,5,7,3,4,1] => 100101 => 2
[6,2,5,7,4,1,3] => 100110 => 2
[6,2,5,7,4,3,1] => 100111 => 1
[6,2,7,1,3,4,5] => 101000 => 2
[6,2,7,1,3,5,4] => 101001 => 2
[6,2,7,1,4,3,5] => 101010 => 3
[6,2,7,1,4,5,3] => 101001 => 2
[6,2,7,1,5,3,4] => 101010 => 3
[6,2,7,1,5,4,3] => 101011 => 2
[6,2,7,3,1,4,5] => 101100 => 2
[6,2,7,3,1,5,4] => 101101 => 2
[6,2,7,3,4,1,5] => 101010 => 3
[6,2,7,3,4,5,1] => 101001 => 2
[6,2,7,3,5,1,4] => 101010 => 3
[6,2,7,3,5,4,1] => 101011 => 2
[6,2,7,4,1,3,5] => 101100 => 2
[6,2,7,4,1,5,3] => 101101 => 2
[6,2,7,4,3,1,5] => 101110 => 2
[6,2,7,4,3,5,1] => 101101 => 2
[6,2,7,4,5,1,3] => 101010 => 3
[6,2,7,4,5,3,1] => 101011 => 2
[6,2,7,5,1,3,4] => 101100 => 2
[6,2,7,5,1,4,3] => 101101 => 2
[6,2,7,5,3,1,4] => 101110 => 2
[6,2,7,5,3,4,1] => 101101 => 2
[6,2,7,5,4,1,3] => 101110 => 2
[6,2,7,5,4,3,1] => 101111 => 1
[6,3,1,2,4,5,7] => 110000 => 1
[6,3,1,2,4,7,5] => 110001 => 1
[6,3,1,2,5,4,7] => 110010 => 2
[6,3,1,2,5,7,4] => 110001 => 1
[6,3,1,2,7,4,5] => 110010 => 2
[6,3,1,2,7,5,4] => 110011 => 1
[6,3,1,4,2,5,7] => 110100 => 2
[6,3,1,4,2,7,5] => 110101 => 2
[6,3,1,4,5,2,7] => 110010 => 2
[6,3,1,4,5,7,2] => 110001 => 1
[6,3,1,4,7,2,5] => 110010 => 2
[6,3,1,4,7,5,2] => 110011 => 1
[6,3,1,5,2,4,7] => 110100 => 2
[6,3,1,5,2,7,4] => 110101 => 2
[6,3,1,5,4,2,7] => 110110 => 2
[6,3,1,5,4,7,2] => 110101 => 2
[6,3,1,5,7,2,4] => 110010 => 2
[6,3,1,5,7,4,2] => 110011 => 1
[6,3,1,7,2,4,5] => 110100 => 2
[6,3,1,7,2,5,4] => 110101 => 2
[6,3,1,7,4,2,5] => 110110 => 2
[6,3,1,7,4,5,2] => 110101 => 2
[6,3,1,7,5,2,4] => 110110 => 2
[6,3,1,7,5,4,2] => 110111 => 1
[6,3,2,1,4,5,7] => 111000 => 1
[6,3,2,1,4,7,5] => 111001 => 1
[6,3,2,1,5,4,7] => 111010 => 2
[6,3,2,1,5,7,4] => 111001 => 1
[6,3,2,1,7,4,5] => 111010 => 2
[6,3,2,1,7,5,4] => 111011 => 1
[6,3,2,4,1,5,7] => 110100 => 2
[6,3,2,4,1,7,5] => 110101 => 2
[6,3,2,4,5,1,7] => 110010 => 2
[6,3,2,4,5,7,1] => 110001 => 1
[6,3,2,4,7,1,5] => 110010 => 2
[6,3,2,4,7,5,1] => 110011 => 1
[6,3,2,5,1,4,7] => 110100 => 2
[6,3,2,5,1,7,4] => 110101 => 2
[6,3,2,5,4,1,7] => 110110 => 2
[6,3,2,5,4,7,1] => 110101 => 2
[6,3,2,5,7,1,4] => 110010 => 2
[6,3,2,5,7,4,1] => 110011 => 1
[6,3,2,7,1,4,5] => 110100 => 2
[6,3,2,7,1,5,4] => 110101 => 2
[6,3,2,7,4,1,5] => 110110 => 2
[6,3,2,7,4,5,1] => 110101 => 2
[6,3,2,7,5,1,4] => 110110 => 2
[6,3,2,7,5,4,1] => 110111 => 1
[6,3,4,1,2,5,7] => 101000 => 2
[6,3,4,1,2,7,5] => 101001 => 2
[6,3,4,1,5,2,7] => 101010 => 3
[6,3,4,1,5,7,2] => 101001 => 2
[6,3,4,1,7,2,5] => 101010 => 3
[6,3,4,1,7,5,2] => 101011 => 2
[6,3,4,2,1,5,7] => 101100 => 2
[6,3,4,2,1,7,5] => 101101 => 2
[6,3,4,2,5,1,7] => 101010 => 3
[6,3,4,2,5,7,1] => 101001 => 2
[6,3,4,2,7,1,5] => 101010 => 3
[6,3,4,2,7,5,1] => 101011 => 2
[6,3,4,5,1,2,7] => 100100 => 2
[6,3,4,5,1,7,2] => 100101 => 2
[6,3,4,5,2,1,7] => 100110 => 2
[6,3,4,5,2,7,1] => 100101 => 2
[6,3,4,5,7,1,2] => 100010 => 2
[6,3,4,5,7,2,1] => 100011 => 1
[6,3,4,7,1,2,5] => 100100 => 2
[6,3,4,7,1,5,2] => 100101 => 2
[6,3,4,7,2,1,5] => 100110 => 2
[6,3,4,7,2,5,1] => 100101 => 2
[6,3,4,7,5,1,2] => 100110 => 2
[6,3,4,7,5,2,1] => 100111 => 1
[6,3,5,1,2,4,7] => 101000 => 2
[6,3,5,1,2,7,4] => 101001 => 2
[6,3,5,1,4,2,7] => 101010 => 3
[6,3,5,1,4,7,2] => 101001 => 2
[6,3,5,1,7,2,4] => 101010 => 3
[6,3,5,1,7,4,2] => 101011 => 2
[6,3,5,2,1,4,7] => 101100 => 2
[6,3,5,2,1,7,4] => 101101 => 2
[6,3,5,2,4,1,7] => 101010 => 3
[6,3,5,2,4,7,1] => 101001 => 2
[6,3,5,2,7,1,4] => 101010 => 3
[6,3,5,2,7,4,1] => 101011 => 2
[6,3,5,4,1,2,7] => 101100 => 2
[6,3,5,4,1,7,2] => 101101 => 2
[6,3,5,4,2,1,7] => 101110 => 2
[6,3,5,4,2,7,1] => 101101 => 2
[6,3,5,4,7,1,2] => 101010 => 3
[6,3,5,4,7,2,1] => 101011 => 2
[6,3,5,7,1,2,4] => 100100 => 2
[6,3,5,7,1,4,2] => 100101 => 2
[6,3,5,7,2,1,4] => 100110 => 2
[6,3,5,7,2,4,1] => 100101 => 2
[6,3,5,7,4,1,2] => 100110 => 2
[6,3,5,7,4,2,1] => 100111 => 1
[6,3,7,1,2,4,5] => 101000 => 2
[6,3,7,1,2,5,4] => 101001 => 2
[6,3,7,1,4,2,5] => 101010 => 3
[6,3,7,1,4,5,2] => 101001 => 2
[6,3,7,1,5,2,4] => 101010 => 3
[6,3,7,1,5,4,2] => 101011 => 2
[6,3,7,2,1,4,5] => 101100 => 2
[6,3,7,2,1,5,4] => 101101 => 2
[6,3,7,2,4,1,5] => 101010 => 3
[6,3,7,2,4,5,1] => 101001 => 2
[6,3,7,2,5,1,4] => 101010 => 3
[6,3,7,2,5,4,1] => 101011 => 2
[6,3,7,4,1,2,5] => 101100 => 2
[6,3,7,4,1,5,2] => 101101 => 2
[6,3,7,4,2,1,5] => 101110 => 2
[6,3,7,4,2,5,1] => 101101 => 2
[6,3,7,4,5,1,2] => 101010 => 3
[6,3,7,4,5,2,1] => 101011 => 2
[6,3,7,5,1,2,4] => 101100 => 2
[6,3,7,5,1,4,2] => 101101 => 2
[6,3,7,5,2,1,4] => 101110 => 2
[6,3,7,5,2,4,1] => 101101 => 2
[6,3,7,5,4,1,2] => 101110 => 2
[6,3,7,5,4,2,1] => 101111 => 1
[6,4,1,2,3,5,7] => 110000 => 1
[6,4,1,2,3,7,5] => 110001 => 1
[6,4,1,2,5,3,7] => 110010 => 2
[6,4,1,2,5,7,3] => 110001 => 1
[6,4,1,2,7,3,5] => 110010 => 2
[6,4,1,2,7,5,3] => 110011 => 1
[6,4,1,3,2,5,7] => 110100 => 2
[6,4,1,3,2,7,5] => 110101 => 2
[6,4,1,3,5,2,7] => 110010 => 2
[6,4,1,3,5,7,2] => 110001 => 1
[6,4,1,3,7,2,5] => 110010 => 2
[6,4,1,3,7,5,2] => 110011 => 1
[6,4,1,5,2,3,7] => 110100 => 2
[6,4,1,5,2,7,3] => 110101 => 2
[6,4,1,5,3,2,7] => 110110 => 2
[6,4,1,5,3,7,2] => 110101 => 2
[6,4,1,5,7,2,3] => 110010 => 2
[6,4,1,5,7,3,2] => 110011 => 1
[6,4,1,7,2,3,5] => 110100 => 2
[6,4,1,7,2,5,3] => 110101 => 2
[6,4,1,7,3,2,5] => 110110 => 2
[6,4,1,7,3,5,2] => 110101 => 2
[6,4,1,7,5,2,3] => 110110 => 2
[6,4,1,7,5,3,2] => 110111 => 1
[6,4,2,1,3,5,7] => 111000 => 1
[6,4,2,1,3,7,5] => 111001 => 1
[6,4,2,1,5,3,7] => 111010 => 2
[6,4,2,1,5,7,3] => 111001 => 1
[6,4,2,1,7,3,5] => 111010 => 2
[6,4,2,1,7,5,3] => 111011 => 1
[6,4,2,3,1,5,7] => 110100 => 2
[6,4,2,3,1,7,5] => 110101 => 2
[6,4,2,3,5,1,7] => 110010 => 2
[6,4,2,3,5,7,1] => 110001 => 1
[6,4,2,3,7,1,5] => 110010 => 2
[6,4,2,3,7,5,1] => 110011 => 1
[6,4,2,5,1,3,7] => 110100 => 2
[6,4,2,5,1,7,3] => 110101 => 2
[6,4,2,5,3,1,7] => 110110 => 2
[6,4,2,5,3,7,1] => 110101 => 2
[6,4,2,5,7,1,3] => 110010 => 2
[6,4,2,5,7,3,1] => 110011 => 1
[6,4,2,7,1,3,5] => 110100 => 2
[6,4,2,7,1,5,3] => 110101 => 2
[6,4,2,7,3,1,5] => 110110 => 2
[6,4,2,7,3,5,1] => 110101 => 2
[6,4,2,7,5,1,3] => 110110 => 2
[6,4,2,7,5,3,1] => 110111 => 1
[6,4,3,1,2,5,7] => 111000 => 1
[6,4,3,1,2,7,5] => 111001 => 1
[6,4,3,1,5,2,7] => 111010 => 2
[6,4,3,1,5,7,2] => 111001 => 1
[6,4,3,1,7,2,5] => 111010 => 2
[6,4,3,1,7,5,2] => 111011 => 1
[6,4,3,2,1,5,7] => 111100 => 1
[6,4,3,2,1,7,5] => 111101 => 1
[6,4,3,2,5,1,7] => 111010 => 2
[6,4,3,2,5,7,1] => 111001 => 1
[6,4,3,2,7,1,5] => 111010 => 2
[6,4,3,2,7,5,1] => 111011 => 1
[6,4,3,5,1,2,7] => 110100 => 2
[6,4,3,5,1,7,2] => 110101 => 2
[6,4,3,5,2,1,7] => 110110 => 2
[6,4,3,5,2,7,1] => 110101 => 2
[6,4,3,5,7,1,2] => 110010 => 2
[6,4,3,5,7,2,1] => 110011 => 1
[6,4,3,7,1,2,5] => 110100 => 2
[6,4,3,7,1,5,2] => 110101 => 2
[6,4,3,7,2,1,5] => 110110 => 2
[6,4,3,7,2,5,1] => 110101 => 2
[6,4,3,7,5,1,2] => 110110 => 2
[6,4,3,7,5,2,1] => 110111 => 1
[6,4,5,1,2,3,7] => 101000 => 2
[6,4,5,1,2,7,3] => 101001 => 2
[6,4,5,1,3,2,7] => 101010 => 3
[6,4,5,1,3,7,2] => 101001 => 2
[6,4,5,1,7,2,3] => 101010 => 3
[6,4,5,1,7,3,2] => 101011 => 2
[6,4,5,2,1,3,7] => 101100 => 2
[6,4,5,2,1,7,3] => 101101 => 2
[6,4,5,2,3,1,7] => 101010 => 3
[6,4,5,2,3,7,1] => 101001 => 2
[6,4,5,2,7,1,3] => 101010 => 3
[6,4,5,2,7,3,1] => 101011 => 2
[6,4,5,3,1,2,7] => 101100 => 2
[6,4,5,3,1,7,2] => 101101 => 2
[6,4,5,3,2,1,7] => 101110 => 2
[6,4,5,3,2,7,1] => 101101 => 2
[6,4,5,3,7,1,2] => 101010 => 3
[6,4,5,3,7,2,1] => 101011 => 2
[6,4,5,7,1,2,3] => 100100 => 2
[6,4,5,7,1,3,2] => 100101 => 2
[6,4,5,7,2,1,3] => 100110 => 2
[6,4,5,7,2,3,1] => 100101 => 2
[6,4,5,7,3,1,2] => 100110 => 2
[6,4,5,7,3,2,1] => 100111 => 1
[6,4,7,1,2,3,5] => 101000 => 2
[6,4,7,1,2,5,3] => 101001 => 2
[6,4,7,1,3,2,5] => 101010 => 3
[6,4,7,1,3,5,2] => 101001 => 2
[6,4,7,1,5,2,3] => 101010 => 3
[6,4,7,1,5,3,2] => 101011 => 2
[6,4,7,2,1,3,5] => 101100 => 2
[6,4,7,2,1,5,3] => 101101 => 2
[6,4,7,2,3,1,5] => 101010 => 3
[6,4,7,2,3,5,1] => 101001 => 2
[6,4,7,2,5,1,3] => 101010 => 3
[6,4,7,2,5,3,1] => 101011 => 2
[6,4,7,3,1,2,5] => 101100 => 2
[6,4,7,3,1,5,2] => 101101 => 2
[6,4,7,3,2,1,5] => 101110 => 2
[6,4,7,3,2,5,1] => 101101 => 2
[6,4,7,3,5,1,2] => 101010 => 3
[6,4,7,3,5,2,1] => 101011 => 2
[6,4,7,5,1,2,3] => 101100 => 2
[6,4,7,5,1,3,2] => 101101 => 2
[6,4,7,5,2,1,3] => 101110 => 2
[6,4,7,5,2,3,1] => 101101 => 2
[6,4,7,5,3,1,2] => 101110 => 2
[6,4,7,5,3,2,1] => 101111 => 1
[6,5,1,2,3,4,7] => 110000 => 1
[6,5,1,2,3,7,4] => 110001 => 1
[6,5,1,2,4,3,7] => 110010 => 2
[6,5,1,2,4,7,3] => 110001 => 1
[6,5,1,2,7,3,4] => 110010 => 2
[6,5,1,2,7,4,3] => 110011 => 1
[6,5,1,3,2,4,7] => 110100 => 2
[6,5,1,3,2,7,4] => 110101 => 2
[6,5,1,3,4,2,7] => 110010 => 2
[6,5,1,3,4,7,2] => 110001 => 1
[6,5,1,3,7,2,4] => 110010 => 2
[6,5,1,3,7,4,2] => 110011 => 1
[6,5,1,4,2,3,7] => 110100 => 2
[6,5,1,4,2,7,3] => 110101 => 2
[6,5,1,4,3,2,7] => 110110 => 2
[6,5,1,4,3,7,2] => 110101 => 2
[6,5,1,4,7,2,3] => 110010 => 2
[6,5,1,4,7,3,2] => 110011 => 1
[6,5,1,7,2,3,4] => 110100 => 2
[6,5,1,7,2,4,3] => 110101 => 2
[6,5,1,7,3,2,4] => 110110 => 2
[6,5,1,7,3,4,2] => 110101 => 2
[6,5,1,7,4,2,3] => 110110 => 2
[6,5,1,7,4,3,2] => 110111 => 1
[6,5,2,1,3,4,7] => 111000 => 1
[6,5,2,1,3,7,4] => 111001 => 1
[6,5,2,1,4,3,7] => 111010 => 2
[6,5,2,1,4,7,3] => 111001 => 1
[6,5,2,1,7,3,4] => 111010 => 2
[6,5,2,1,7,4,3] => 111011 => 1
[6,5,2,3,1,4,7] => 110100 => 2
[6,5,2,3,1,7,4] => 110101 => 2
[6,5,2,3,4,1,7] => 110010 => 2
[6,5,2,3,4,7,1] => 110001 => 1
[6,5,2,3,7,1,4] => 110010 => 2
[6,5,2,3,7,4,1] => 110011 => 1
[6,5,2,4,1,3,7] => 110100 => 2
[6,5,2,4,1,7,3] => 110101 => 2
[6,5,2,4,3,1,7] => 110110 => 2
[6,5,2,4,3,7,1] => 110101 => 2
[6,5,2,4,7,1,3] => 110010 => 2
[6,5,2,4,7,3,1] => 110011 => 1
[6,5,2,7,1,3,4] => 110100 => 2
[6,5,2,7,1,4,3] => 110101 => 2
[6,5,2,7,3,1,4] => 110110 => 2
[6,5,2,7,3,4,1] => 110101 => 2
[6,5,2,7,4,1,3] => 110110 => 2
[6,5,2,7,4,3,1] => 110111 => 1
[6,5,3,1,2,4,7] => 111000 => 1
[6,5,3,1,2,7,4] => 111001 => 1
[6,5,3,1,4,2,7] => 111010 => 2
[6,5,3,1,4,7,2] => 111001 => 1
[6,5,3,1,7,2,4] => 111010 => 2
[6,5,3,1,7,4,2] => 111011 => 1
[6,5,3,2,1,4,7] => 111100 => 1
[6,5,3,2,1,7,4] => 111101 => 1
[6,5,3,2,4,1,7] => 111010 => 2
[6,5,3,2,4,7,1] => 111001 => 1
[6,5,3,2,7,1,4] => 111010 => 2
[6,5,3,2,7,4,1] => 111011 => 1
[6,5,3,4,1,2,7] => 110100 => 2
[6,5,3,4,1,7,2] => 110101 => 2
[6,5,3,4,2,1,7] => 110110 => 2
[6,5,3,4,2,7,1] => 110101 => 2
[6,5,3,4,7,1,2] => 110010 => 2
[6,5,3,4,7,2,1] => 110011 => 1
[6,5,3,7,1,2,4] => 110100 => 2
[6,5,3,7,1,4,2] => 110101 => 2
[6,5,3,7,2,1,4] => 110110 => 2
[6,5,3,7,2,4,1] => 110101 => 2
[6,5,3,7,4,1,2] => 110110 => 2
[6,5,3,7,4,2,1] => 110111 => 1
[6,5,4,1,2,3,7] => 111000 => 1
[6,5,4,1,2,7,3] => 111001 => 1
[6,5,4,1,3,2,7] => 111010 => 2
[6,5,4,1,3,7,2] => 111001 => 1
[6,5,4,1,7,2,3] => 111010 => 2
[6,5,4,1,7,3,2] => 111011 => 1
[6,5,4,2,1,3,7] => 111100 => 1
[6,5,4,2,1,7,3] => 111101 => 1
[6,5,4,2,3,1,7] => 111010 => 2
[6,5,4,2,3,7,1] => 111001 => 1
[6,5,4,2,7,1,3] => 111010 => 2
[6,5,4,2,7,3,1] => 111011 => 1
[6,5,4,3,1,2,7] => 111100 => 1
[6,5,4,3,1,7,2] => 111101 => 1
[6,5,4,3,2,1,7] => 111110 => 1
[6,5,4,3,2,7,1] => 111101 => 1
[6,5,4,3,7,1,2] => 111010 => 2
[6,5,4,3,7,2,1] => 111011 => 1
[6,5,4,7,1,2,3] => 110100 => 2
[6,5,4,7,1,3,2] => 110101 => 2
[6,5,4,7,2,1,3] => 110110 => 2
[6,5,4,7,2,3,1] => 110101 => 2
[6,5,4,7,3,1,2] => 110110 => 2
[6,5,4,7,3,2,1] => 110111 => 1
[6,5,7,1,2,3,4] => 101000 => 2
[6,5,7,1,2,4,3] => 101001 => 2
[6,5,7,1,3,2,4] => 101010 => 3
[6,5,7,1,3,4,2] => 101001 => 2
[6,5,7,1,4,2,3] => 101010 => 3
[6,5,7,1,4,3,2] => 101011 => 2
[6,5,7,2,1,3,4] => 101100 => 2
[6,5,7,2,1,4,3] => 101101 => 2
[6,5,7,2,3,1,4] => 101010 => 3
[6,5,7,2,3,4,1] => 101001 => 2
[6,5,7,2,4,1,3] => 101010 => 3
[6,5,7,2,4,3,1] => 101011 => 2
[6,5,7,3,1,2,4] => 101100 => 2
[6,5,7,3,1,4,2] => 101101 => 2
[6,5,7,3,2,1,4] => 101110 => 2
[6,5,7,3,2,4,1] => 101101 => 2
[6,5,7,3,4,1,2] => 101010 => 3
[6,5,7,3,4,2,1] => 101011 => 2
[6,5,7,4,1,2,3] => 101100 => 2
[6,5,7,4,1,3,2] => 101101 => 2
[6,5,7,4,2,1,3] => 101110 => 2
[6,5,7,4,2,3,1] => 101101 => 2
[6,5,7,4,3,1,2] => 101110 => 2
[6,5,7,4,3,2,1] => 101111 => 1
[6,7,1,2,3,4,5] => 010000 => 1
[6,7,1,2,3,5,4] => 010001 => 1
[6,7,1,2,4,3,5] => 010010 => 2
[6,7,1,2,4,5,3] => 010001 => 1
[6,7,1,2,5,3,4] => 010010 => 2
[6,7,1,2,5,4,3] => 010011 => 1
[6,7,1,3,2,4,5] => 010100 => 2
[6,7,1,3,2,5,4] => 010101 => 2
[6,7,1,3,4,2,5] => 010010 => 2
[6,7,1,3,4,5,2] => 010001 => 1
[6,7,1,3,5,2,4] => 010010 => 2
[6,7,1,3,5,4,2] => 010011 => 1
[6,7,1,4,2,3,5] => 010100 => 2
[6,7,1,4,2,5,3] => 010101 => 2
[6,7,1,4,3,2,5] => 010110 => 2
[6,7,1,4,3,5,2] => 010101 => 2
[6,7,1,4,5,2,3] => 010010 => 2
[6,7,1,4,5,3,2] => 010011 => 1
[6,7,1,5,2,3,4] => 010100 => 2
[6,7,1,5,2,4,3] => 010101 => 2
[6,7,1,5,3,2,4] => 010110 => 2
[6,7,1,5,3,4,2] => 010101 => 2
[6,7,1,5,4,2,3] => 010110 => 2
[6,7,1,5,4,3,2] => 010111 => 1
[6,7,2,1,3,4,5] => 011000 => 1
[6,7,2,1,3,5,4] => 011001 => 1
[6,7,2,1,4,3,5] => 011010 => 2
[6,7,2,1,4,5,3] => 011001 => 1
[6,7,2,1,5,3,4] => 011010 => 2
[6,7,2,1,5,4,3] => 011011 => 1
[6,7,2,3,1,4,5] => 010100 => 2
[6,7,2,3,1,5,4] => 010101 => 2
[6,7,2,3,4,1,5] => 010010 => 2
[6,7,2,3,4,5,1] => 010001 => 1
[6,7,2,3,5,1,4] => 010010 => 2
[6,7,2,3,5,4,1] => 010011 => 1
[6,7,2,4,1,3,5] => 010100 => 2
[6,7,2,4,1,5,3] => 010101 => 2
[6,7,2,4,3,1,5] => 010110 => 2
[6,7,2,4,3,5,1] => 010101 => 2
[6,7,2,4,5,1,3] => 010010 => 2
[6,7,2,4,5,3,1] => 010011 => 1
[6,7,2,5,1,3,4] => 010100 => 2
[6,7,2,5,1,4,3] => 010101 => 2
[6,7,2,5,3,1,4] => 010110 => 2
[6,7,2,5,3,4,1] => 010101 => 2
[6,7,2,5,4,1,3] => 010110 => 2
[6,7,2,5,4,3,1] => 010111 => 1
[6,7,3,1,2,4,5] => 011000 => 1
[6,7,3,1,2,5,4] => 011001 => 1
[6,7,3,1,4,2,5] => 011010 => 2
[6,7,3,1,4,5,2] => 011001 => 1
[6,7,3,1,5,2,4] => 011010 => 2
[6,7,3,1,5,4,2] => 011011 => 1
[6,7,3,2,1,4,5] => 011100 => 1
[6,7,3,2,1,5,4] => 011101 => 1
[6,7,3,2,4,1,5] => 011010 => 2
[6,7,3,2,4,5,1] => 011001 => 1
[6,7,3,2,5,1,4] => 011010 => 2
[6,7,3,2,5,4,1] => 011011 => 1
[6,7,3,4,1,2,5] => 010100 => 2
[6,7,3,4,1,5,2] => 010101 => 2
[6,7,3,4,2,1,5] => 010110 => 2
[6,7,3,4,2,5,1] => 010101 => 2
[6,7,3,4,5,1,2] => 010010 => 2
[6,7,3,4,5,2,1] => 010011 => 1
[6,7,3,5,1,2,4] => 010100 => 2
[6,7,3,5,1,4,2] => 010101 => 2
[6,7,3,5,2,1,4] => 010110 => 2
[6,7,3,5,2,4,1] => 010101 => 2
[6,7,3,5,4,1,2] => 010110 => 2
[6,7,3,5,4,2,1] => 010111 => 1
[6,7,4,1,2,3,5] => 011000 => 1
[6,7,4,1,2,5,3] => 011001 => 1
[6,7,4,1,3,2,5] => 011010 => 2
[6,7,4,1,3,5,2] => 011001 => 1
[6,7,4,1,5,2,3] => 011010 => 2
[6,7,4,1,5,3,2] => 011011 => 1
[6,7,4,2,1,3,5] => 011100 => 1
[6,7,4,2,1,5,3] => 011101 => 1
[6,7,4,2,3,1,5] => 011010 => 2
[6,7,4,2,3,5,1] => 011001 => 1
[6,7,4,2,5,1,3] => 011010 => 2
[6,7,4,2,5,3,1] => 011011 => 1
[6,7,4,3,1,2,5] => 011100 => 1
[6,7,4,3,1,5,2] => 011101 => 1
[6,7,4,3,2,1,5] => 011110 => 1
[6,7,4,3,2,5,1] => 011101 => 1
[6,7,4,3,5,1,2] => 011010 => 2
[6,7,4,3,5,2,1] => 011011 => 1
[6,7,4,5,1,2,3] => 010100 => 2
[6,7,4,5,1,3,2] => 010101 => 2
[6,7,4,5,2,1,3] => 010110 => 2
[6,7,4,5,2,3,1] => 010101 => 2
[6,7,4,5,3,1,2] => 010110 => 2
[6,7,4,5,3,2,1] => 010111 => 1
[6,7,5,1,2,3,4] => 011000 => 1
[6,7,5,1,2,4,3] => 011001 => 1
[6,7,5,1,3,2,4] => 011010 => 2
[6,7,5,1,3,4,2] => 011001 => 1
[6,7,5,1,4,2,3] => 011010 => 2
[6,7,5,1,4,3,2] => 011011 => 1
[6,7,5,2,1,3,4] => 011100 => 1
[6,7,5,2,1,4,3] => 011101 => 1
[6,7,5,2,3,1,4] => 011010 => 2
[6,7,5,2,3,4,1] => 011001 => 1
[6,7,5,2,4,1,3] => 011010 => 2
[6,7,5,2,4,3,1] => 011011 => 1
[6,7,5,3,1,2,4] => 011100 => 1
[6,7,5,3,1,4,2] => 011101 => 1
[6,7,5,3,2,1,4] => 011110 => 1
[6,7,5,3,2,4,1] => 011101 => 1
[6,7,5,3,4,1,2] => 011010 => 2
[6,7,5,3,4,2,1] => 011011 => 1
[6,7,5,4,1,2,3] => 011100 => 1
[6,7,5,4,1,3,2] => 011101 => 1
[6,7,5,4,2,1,3] => 011110 => 1
[6,7,5,4,2,3,1] => 011101 => 1
[6,7,5,4,3,1,2] => 011110 => 1
[6,7,5,4,3,2,1] => 011111 => 0
[7,1,2,3,4,5,6] => 100000 => 1
[7,1,2,3,4,6,5] => 100001 => 1
[7,1,2,3,5,4,6] => 100010 => 2
[7,1,2,3,5,6,4] => 100001 => 1
[7,1,2,3,6,4,5] => 100010 => 2
[7,1,2,3,6,5,4] => 100011 => 1
[7,1,2,4,3,5,6] => 100100 => 2
[7,1,2,4,3,6,5] => 100101 => 2
[7,1,2,4,5,3,6] => 100010 => 2
[7,1,2,4,5,6,3] => 100001 => 1
[7,1,2,4,6,3,5] => 100010 => 2
[7,1,2,4,6,5,3] => 100011 => 1
[7,1,2,5,3,4,6] => 100100 => 2
[7,1,2,5,3,6,4] => 100101 => 2
[7,1,2,5,4,3,6] => 100110 => 2
[7,1,2,5,4,6,3] => 100101 => 2
[7,1,2,5,6,3,4] => 100010 => 2
[7,1,2,5,6,4,3] => 100011 => 1
[7,1,2,6,3,4,5] => 100100 => 2
[7,1,2,6,3,5,4] => 100101 => 2
[7,1,2,6,4,3,5] => 100110 => 2
[7,1,2,6,4,5,3] => 100101 => 2
[7,1,2,6,5,3,4] => 100110 => 2
[7,1,2,6,5,4,3] => 100111 => 1
[7,1,3,2,4,5,6] => 101000 => 2
[7,1,3,2,4,6,5] => 101001 => 2
[7,1,3,2,5,4,6] => 101010 => 3
[7,1,3,2,5,6,4] => 101001 => 2
[7,1,3,2,6,4,5] => 101010 => 3
[7,1,3,2,6,5,4] => 101011 => 2
[7,1,3,4,2,5,6] => 100100 => 2
[7,1,3,4,2,6,5] => 100101 => 2
[7,1,3,4,5,2,6] => 100010 => 2
[7,1,3,4,5,6,2] => 100001 => 1
[7,1,3,4,6,2,5] => 100010 => 2
[7,1,3,4,6,5,2] => 100011 => 1
[7,1,3,5,2,4,6] => 100100 => 2
[7,1,3,5,2,6,4] => 100101 => 2
[7,1,3,5,4,2,6] => 100110 => 2
[7,1,3,5,4,6,2] => 100101 => 2
[7,1,3,5,6,2,4] => 100010 => 2
[7,1,3,5,6,4,2] => 100011 => 1
[7,1,3,6,2,4,5] => 100100 => 2
[7,1,3,6,2,5,4] => 100101 => 2
[7,1,3,6,4,2,5] => 100110 => 2
[7,1,3,6,4,5,2] => 100101 => 2
[7,1,3,6,5,2,4] => 100110 => 2
[7,1,3,6,5,4,2] => 100111 => 1
[7,1,4,2,3,5,6] => 101000 => 2
[7,1,4,2,3,6,5] => 101001 => 2
[7,1,4,2,5,3,6] => 101010 => 3
[7,1,4,2,5,6,3] => 101001 => 2
[7,1,4,2,6,3,5] => 101010 => 3
[7,1,4,2,6,5,3] => 101011 => 2
[7,1,4,3,2,5,6] => 101100 => 2
[7,1,4,3,2,6,5] => 101101 => 2
[7,1,4,3,5,2,6] => 101010 => 3
[7,1,4,3,5,6,2] => 101001 => 2
[7,1,4,3,6,2,5] => 101010 => 3
[7,1,4,3,6,5,2] => 101011 => 2
[7,1,4,5,2,3,6] => 100100 => 2
[7,1,4,5,2,6,3] => 100101 => 2
[7,1,4,5,3,2,6] => 100110 => 2
[7,1,4,5,3,6,2] => 100101 => 2
[7,1,4,5,6,2,3] => 100010 => 2
[7,1,4,5,6,3,2] => 100011 => 1
[7,1,4,6,2,3,5] => 100100 => 2
[7,1,4,6,2,5,3] => 100101 => 2
[7,1,4,6,3,2,5] => 100110 => 2
[7,1,4,6,3,5,2] => 100101 => 2
[7,1,4,6,5,2,3] => 100110 => 2
[7,1,4,6,5,3,2] => 100111 => 1
[7,1,5,2,3,4,6] => 101000 => 2
[7,1,5,2,3,6,4] => 101001 => 2
[7,1,5,2,4,3,6] => 101010 => 3
[7,1,5,2,4,6,3] => 101001 => 2
[7,1,5,2,6,3,4] => 101010 => 3
[7,1,5,2,6,4,3] => 101011 => 2
[7,1,5,3,2,4,6] => 101100 => 2
[7,1,5,3,2,6,4] => 101101 => 2
[7,1,5,3,4,2,6] => 101010 => 3
[7,1,5,3,4,6,2] => 101001 => 2
[7,1,5,3,6,2,4] => 101010 => 3
[7,1,5,3,6,4,2] => 101011 => 2
[7,1,5,4,2,3,6] => 101100 => 2
[7,1,5,4,2,6,3] => 101101 => 2
[7,1,5,4,3,2,6] => 101110 => 2
[7,1,5,4,3,6,2] => 101101 => 2
[7,1,5,4,6,2,3] => 101010 => 3
[7,1,5,4,6,3,2] => 101011 => 2
[7,1,5,6,2,3,4] => 100100 => 2
[7,1,5,6,2,4,3] => 100101 => 2
[7,1,5,6,3,2,4] => 100110 => 2
[7,1,5,6,3,4,2] => 100101 => 2
[7,1,5,6,4,2,3] => 100110 => 2
[7,1,5,6,4,3,2] => 100111 => 1
[7,1,6,2,3,4,5] => 101000 => 2
[7,1,6,2,3,5,4] => 101001 => 2
[7,1,6,2,4,3,5] => 101010 => 3
[7,1,6,2,4,5,3] => 101001 => 2
[7,1,6,2,5,3,4] => 101010 => 3
[7,1,6,2,5,4,3] => 101011 => 2
[7,1,6,3,2,4,5] => 101100 => 2
[7,1,6,3,2,5,4] => 101101 => 2
[7,1,6,3,4,2,5] => 101010 => 3
[7,1,6,3,4,5,2] => 101001 => 2
[7,1,6,3,5,2,4] => 101010 => 3
[7,1,6,3,5,4,2] => 101011 => 2
[7,1,6,4,2,3,5] => 101100 => 2
[7,1,6,4,2,5,3] => 101101 => 2
[7,1,6,4,3,2,5] => 101110 => 2
[7,1,6,4,3,5,2] => 101101 => 2
[7,1,6,4,5,2,3] => 101010 => 3
[7,1,6,4,5,3,2] => 101011 => 2
[7,1,6,5,2,3,4] => 101100 => 2
[7,1,6,5,2,4,3] => 101101 => 2
[7,1,6,5,3,2,4] => 101110 => 2
[7,1,6,5,3,4,2] => 101101 => 2
[7,1,6,5,4,2,3] => 101110 => 2
[7,1,6,5,4,3,2] => 101111 => 1
[7,2,1,3,4,5,6] => 110000 => 1
[7,2,1,3,4,6,5] => 110001 => 1
[7,2,1,3,5,4,6] => 110010 => 2
[7,2,1,3,5,6,4] => 110001 => 1
[7,2,1,3,6,4,5] => 110010 => 2
[7,2,1,3,6,5,4] => 110011 => 1
[7,2,1,4,3,5,6] => 110100 => 2
[7,2,1,4,3,6,5] => 110101 => 2
[7,2,1,4,5,3,6] => 110010 => 2
[7,2,1,4,5,6,3] => 110001 => 1
[7,2,1,4,6,3,5] => 110010 => 2
[7,2,1,4,6,5,3] => 110011 => 1
[7,2,1,5,3,4,6] => 110100 => 2
[7,2,1,5,3,6,4] => 110101 => 2
[7,2,1,5,4,3,6] => 110110 => 2
[7,2,1,5,4,6,3] => 110101 => 2
[7,2,1,5,6,3,4] => 110010 => 2
[7,2,1,5,6,4,3] => 110011 => 1
[7,2,1,6,3,4,5] => 110100 => 2
[7,2,1,6,3,5,4] => 110101 => 2
[7,2,1,6,4,3,5] => 110110 => 2
[7,2,1,6,4,5,3] => 110101 => 2
[7,2,1,6,5,3,4] => 110110 => 2
[7,2,1,6,5,4,3] => 110111 => 1
[7,2,3,1,4,5,6] => 101000 => 2
[7,2,3,1,4,6,5] => 101001 => 2
[7,2,3,1,5,4,6] => 101010 => 3
[7,2,3,1,5,6,4] => 101001 => 2
[7,2,3,1,6,4,5] => 101010 => 3
[7,2,3,1,6,5,4] => 101011 => 2
[7,2,3,4,1,5,6] => 100100 => 2
[7,2,3,4,1,6,5] => 100101 => 2
[7,2,3,4,5,1,6] => 100010 => 2
[7,2,3,4,5,6,1] => 100001 => 1
[7,2,3,4,6,1,5] => 100010 => 2
[7,2,3,4,6,5,1] => 100011 => 1
[7,2,3,5,1,4,6] => 100100 => 2
[7,2,3,5,1,6,4] => 100101 => 2
[7,2,3,5,4,1,6] => 100110 => 2
[7,2,3,5,4,6,1] => 100101 => 2
[7,2,3,5,6,1,4] => 100010 => 2
[7,2,3,5,6,4,1] => 100011 => 1
[7,2,3,6,1,4,5] => 100100 => 2
[7,2,3,6,1,5,4] => 100101 => 2
[7,2,3,6,4,1,5] => 100110 => 2
[7,2,3,6,4,5,1] => 100101 => 2
[7,2,3,6,5,1,4] => 100110 => 2
[7,2,3,6,5,4,1] => 100111 => 1
[7,2,4,1,3,5,6] => 101000 => 2
[7,2,4,1,3,6,5] => 101001 => 2
[7,2,4,1,5,3,6] => 101010 => 3
[7,2,4,1,5,6,3] => 101001 => 2
[7,2,4,1,6,3,5] => 101010 => 3
[7,2,4,1,6,5,3] => 101011 => 2
[7,2,4,3,1,5,6] => 101100 => 2
[7,2,4,3,1,6,5] => 101101 => 2
[7,2,4,3,5,1,6] => 101010 => 3
[7,2,4,3,5,6,1] => 101001 => 2
[7,2,4,3,6,1,5] => 101010 => 3
[7,2,4,3,6,5,1] => 101011 => 2
[7,2,4,5,1,3,6] => 100100 => 2
[7,2,4,5,1,6,3] => 100101 => 2
[7,2,4,5,3,1,6] => 100110 => 2
[7,2,4,5,3,6,1] => 100101 => 2
[7,2,4,5,6,1,3] => 100010 => 2
[7,2,4,5,6,3,1] => 100011 => 1
[7,2,4,6,1,3,5] => 100100 => 2
[7,2,4,6,1,5,3] => 100101 => 2
[7,2,4,6,3,1,5] => 100110 => 2
[7,2,4,6,3,5,1] => 100101 => 2
[7,2,4,6,5,1,3] => 100110 => 2
[7,2,4,6,5,3,1] => 100111 => 1
[7,2,5,1,3,4,6] => 101000 => 2
[7,2,5,1,3,6,4] => 101001 => 2
[7,2,5,1,4,3,6] => 101010 => 3
[7,2,5,1,4,6,3] => 101001 => 2
[7,2,5,1,6,3,4] => 101010 => 3
[7,2,5,1,6,4,3] => 101011 => 2
[7,2,5,3,1,4,6] => 101100 => 2
[7,2,5,3,1,6,4] => 101101 => 2
[7,2,5,3,4,1,6] => 101010 => 3
[7,2,5,3,4,6,1] => 101001 => 2
[7,2,5,3,6,1,4] => 101010 => 3
[7,2,5,3,6,4,1] => 101011 => 2
[7,2,5,4,1,3,6] => 101100 => 2
[7,2,5,4,1,6,3] => 101101 => 2
[7,2,5,4,3,1,6] => 101110 => 2
[7,2,5,4,3,6,1] => 101101 => 2
[7,2,5,4,6,1,3] => 101010 => 3
[7,2,5,4,6,3,1] => 101011 => 2
[7,2,5,6,1,3,4] => 100100 => 2
[7,2,5,6,1,4,3] => 100101 => 2
[7,2,5,6,3,1,4] => 100110 => 2
[7,2,5,6,3,4,1] => 100101 => 2
[7,2,5,6,4,1,3] => 100110 => 2
[7,2,5,6,4,3,1] => 100111 => 1
[7,2,6,1,3,4,5] => 101000 => 2
[7,2,6,1,3,5,4] => 101001 => 2
[7,2,6,1,4,3,5] => 101010 => 3
[7,2,6,1,4,5,3] => 101001 => 2
[7,2,6,1,5,3,4] => 101010 => 3
[7,2,6,1,5,4,3] => 101011 => 2
[7,2,6,3,1,4,5] => 101100 => 2
[7,2,6,3,1,5,4] => 101101 => 2
[7,2,6,3,4,1,5] => 101010 => 3
[7,2,6,3,4,5,1] => 101001 => 2
[7,2,6,3,5,1,4] => 101010 => 3
[7,2,6,3,5,4,1] => 101011 => 2
[7,2,6,4,1,3,5] => 101100 => 2
[7,2,6,4,1,5,3] => 101101 => 2
[7,2,6,4,3,1,5] => 101110 => 2
[7,2,6,4,3,5,1] => 101101 => 2
[7,2,6,4,5,1,3] => 101010 => 3
[7,2,6,4,5,3,1] => 101011 => 2
[7,2,6,5,1,3,4] => 101100 => 2
[7,2,6,5,1,4,3] => 101101 => 2
[7,2,6,5,3,1,4] => 101110 => 2
[7,2,6,5,3,4,1] => 101101 => 2
[7,2,6,5,4,1,3] => 101110 => 2
[7,2,6,5,4,3,1] => 101111 => 1
[7,3,1,2,4,5,6] => 110000 => 1
[7,3,1,2,4,6,5] => 110001 => 1
[7,3,1,2,5,4,6] => 110010 => 2
[7,3,1,2,5,6,4] => 110001 => 1
[7,3,1,2,6,4,5] => 110010 => 2
[7,3,1,2,6,5,4] => 110011 => 1
[7,3,1,4,2,5,6] => 110100 => 2
[7,3,1,4,2,6,5] => 110101 => 2
[7,3,1,4,5,2,6] => 110010 => 2
[7,3,1,4,5,6,2] => 110001 => 1
[7,3,1,4,6,2,5] => 110010 => 2
[7,3,1,4,6,5,2] => 110011 => 1
[7,3,1,5,2,4,6] => 110100 => 2
[7,3,1,5,2,6,4] => 110101 => 2
[7,3,1,5,4,2,6] => 110110 => 2
[7,3,1,5,4,6,2] => 110101 => 2
[7,3,1,5,6,2,4] => 110010 => 2
[7,3,1,5,6,4,2] => 110011 => 1
[7,3,1,6,2,4,5] => 110100 => 2
[7,3,1,6,2,5,4] => 110101 => 2
[7,3,1,6,4,2,5] => 110110 => 2
[7,3,1,6,4,5,2] => 110101 => 2
[7,3,1,6,5,2,4] => 110110 => 2
[7,3,1,6,5,4,2] => 110111 => 1
[7,3,2,1,4,5,6] => 111000 => 1
[7,3,2,1,4,6,5] => 111001 => 1
[7,3,2,1,5,4,6] => 111010 => 2
[7,3,2,1,5,6,4] => 111001 => 1
[7,3,2,1,6,4,5] => 111010 => 2
[7,3,2,1,6,5,4] => 111011 => 1
[7,3,2,4,1,5,6] => 110100 => 2
[7,3,2,4,1,6,5] => 110101 => 2
[7,3,2,4,5,1,6] => 110010 => 2
[7,3,2,4,5,6,1] => 110001 => 1
[7,3,2,4,6,1,5] => 110010 => 2
[7,3,2,4,6,5,1] => 110011 => 1
[7,3,2,5,1,4,6] => 110100 => 2
[7,3,2,5,1,6,4] => 110101 => 2
[7,3,2,5,4,1,6] => 110110 => 2
[7,3,2,5,4,6,1] => 110101 => 2
[7,3,2,5,6,1,4] => 110010 => 2
[7,3,2,5,6,4,1] => 110011 => 1
[7,3,2,6,1,4,5] => 110100 => 2
[7,3,2,6,1,5,4] => 110101 => 2
[7,3,2,6,4,1,5] => 110110 => 2
[7,3,2,6,4,5,1] => 110101 => 2
[7,3,2,6,5,1,4] => 110110 => 2
[7,3,2,6,5,4,1] => 110111 => 1
[7,3,4,1,2,5,6] => 101000 => 2
[7,3,4,1,2,6,5] => 101001 => 2
[7,3,4,1,5,2,6] => 101010 => 3
[7,3,4,1,5,6,2] => 101001 => 2
[7,3,4,1,6,2,5] => 101010 => 3
[7,3,4,1,6,5,2] => 101011 => 2
[7,3,4,2,1,5,6] => 101100 => 2
[7,3,4,2,1,6,5] => 101101 => 2
[7,3,4,2,5,1,6] => 101010 => 3
[7,3,4,2,5,6,1] => 101001 => 2
[7,3,4,2,6,1,5] => 101010 => 3
[7,3,4,2,6,5,1] => 101011 => 2
[7,3,4,5,1,2,6] => 100100 => 2
[7,3,4,5,1,6,2] => 100101 => 2
[7,3,4,5,2,1,6] => 100110 => 2
[7,3,4,5,2,6,1] => 100101 => 2
[7,3,4,5,6,1,2] => 100010 => 2
[7,3,4,5,6,2,1] => 100011 => 1
[7,3,4,6,1,2,5] => 100100 => 2
[7,3,4,6,1,5,2] => 100101 => 2
[7,3,4,6,2,1,5] => 100110 => 2
[7,3,4,6,2,5,1] => 100101 => 2
[7,3,4,6,5,1,2] => 100110 => 2
[7,3,4,6,5,2,1] => 100111 => 1
[7,3,5,1,2,4,6] => 101000 => 2
[7,3,5,1,2,6,4] => 101001 => 2
[7,3,5,1,4,2,6] => 101010 => 3
[7,3,5,1,4,6,2] => 101001 => 2
[7,3,5,1,6,2,4] => 101010 => 3
[7,3,5,1,6,4,2] => 101011 => 2
[7,3,5,2,1,4,6] => 101100 => 2
[7,3,5,2,1,6,4] => 101101 => 2
[7,3,5,2,4,1,6] => 101010 => 3
[7,3,5,2,4,6,1] => 101001 => 2
[7,3,5,2,6,1,4] => 101010 => 3
[7,3,5,2,6,4,1] => 101011 => 2
[7,3,5,4,1,2,6] => 101100 => 2
[7,3,5,4,1,6,2] => 101101 => 2
[7,3,5,4,2,1,6] => 101110 => 2
[7,3,5,4,2,6,1] => 101101 => 2
[7,3,5,4,6,1,2] => 101010 => 3
[7,3,5,4,6,2,1] => 101011 => 2
[7,3,5,6,1,2,4] => 100100 => 2
[7,3,5,6,1,4,2] => 100101 => 2
[7,3,5,6,2,1,4] => 100110 => 2
[7,3,5,6,2,4,1] => 100101 => 2
[7,3,5,6,4,1,2] => 100110 => 2
[7,3,5,6,4,2,1] => 100111 => 1
[7,3,6,1,2,4,5] => 101000 => 2
[7,3,6,1,2,5,4] => 101001 => 2
[7,3,6,1,4,2,5] => 101010 => 3
[7,3,6,1,4,5,2] => 101001 => 2
[7,3,6,1,5,2,4] => 101010 => 3
[7,3,6,1,5,4,2] => 101011 => 2
[7,3,6,2,1,4,5] => 101100 => 2
[7,3,6,2,1,5,4] => 101101 => 2
[7,3,6,2,4,1,5] => 101010 => 3
[7,3,6,2,4,5,1] => 101001 => 2
[7,3,6,2,5,1,4] => 101010 => 3
[7,3,6,2,5,4,1] => 101011 => 2
[7,3,6,4,1,2,5] => 101100 => 2
[7,3,6,4,1,5,2] => 101101 => 2
[7,3,6,4,2,1,5] => 101110 => 2
[7,3,6,4,2,5,1] => 101101 => 2
[7,3,6,4,5,1,2] => 101010 => 3
[7,3,6,4,5,2,1] => 101011 => 2
[7,3,6,5,1,2,4] => 101100 => 2
[7,3,6,5,1,4,2] => 101101 => 2
[7,3,6,5,2,1,4] => 101110 => 2
[7,3,6,5,2,4,1] => 101101 => 2
[7,3,6,5,4,1,2] => 101110 => 2
[7,3,6,5,4,2,1] => 101111 => 1
[7,4,1,2,3,5,6] => 110000 => 1
[7,4,1,2,3,6,5] => 110001 => 1
[7,4,1,2,5,3,6] => 110010 => 2
[7,4,1,2,5,6,3] => 110001 => 1
[7,4,1,2,6,3,5] => 110010 => 2
[7,4,1,2,6,5,3] => 110011 => 1
[7,4,1,3,2,5,6] => 110100 => 2
[7,4,1,3,2,6,5] => 110101 => 2
[7,4,1,3,5,2,6] => 110010 => 2
[7,4,1,3,5,6,2] => 110001 => 1
[7,4,1,3,6,2,5] => 110010 => 2
[7,4,1,3,6,5,2] => 110011 => 1
[7,4,1,5,2,3,6] => 110100 => 2
[7,4,1,5,2,6,3] => 110101 => 2
[7,4,1,5,3,2,6] => 110110 => 2
[7,4,1,5,3,6,2] => 110101 => 2
[7,4,1,5,6,2,3] => 110010 => 2
[7,4,1,5,6,3,2] => 110011 => 1
[7,4,1,6,2,3,5] => 110100 => 2
[7,4,1,6,2,5,3] => 110101 => 2
[7,4,1,6,3,2,5] => 110110 => 2
[7,4,1,6,3,5,2] => 110101 => 2
[7,4,1,6,5,2,3] => 110110 => 2
[7,4,1,6,5,3,2] => 110111 => 1
[7,4,2,1,3,5,6] => 111000 => 1
[7,4,2,1,3,6,5] => 111001 => 1
[7,4,2,1,5,3,6] => 111010 => 2
[7,4,2,1,5,6,3] => 111001 => 1
[7,4,2,1,6,3,5] => 111010 => 2
[7,4,2,1,6,5,3] => 111011 => 1
[7,4,2,3,1,5,6] => 110100 => 2
[7,4,2,3,1,6,5] => 110101 => 2
[7,4,2,3,5,1,6] => 110010 => 2
[7,4,2,3,5,6,1] => 110001 => 1
[7,4,2,3,6,1,5] => 110010 => 2
[7,4,2,3,6,5,1] => 110011 => 1
[7,4,2,5,1,3,6] => 110100 => 2
[7,4,2,5,1,6,3] => 110101 => 2
[7,4,2,5,3,1,6] => 110110 => 2
[7,4,2,5,3,6,1] => 110101 => 2
[7,4,2,5,6,1,3] => 110010 => 2
[7,4,2,5,6,3,1] => 110011 => 1
[7,4,2,6,1,3,5] => 110100 => 2
[7,4,2,6,1,5,3] => 110101 => 2
[7,4,2,6,3,1,5] => 110110 => 2
[7,4,2,6,3,5,1] => 110101 => 2
[7,4,2,6,5,1,3] => 110110 => 2
[7,4,2,6,5,3,1] => 110111 => 1
[7,4,3,1,2,5,6] => 111000 => 1
[7,4,3,1,2,6,5] => 111001 => 1
[7,4,3,1,5,2,6] => 111010 => 2
[7,4,3,1,5,6,2] => 111001 => 1
[7,4,3,1,6,2,5] => 111010 => 2
[7,4,3,1,6,5,2] => 111011 => 1
[7,4,3,2,1,5,6] => 111100 => 1
[7,4,3,2,1,6,5] => 111101 => 1
[7,4,3,2,5,1,6] => 111010 => 2
[7,4,3,2,5,6,1] => 111001 => 1
[7,4,3,2,6,1,5] => 111010 => 2
[7,4,3,2,6,5,1] => 111011 => 1
[7,4,3,5,1,2,6] => 110100 => 2
[7,4,3,5,1,6,2] => 110101 => 2
[7,4,3,5,2,1,6] => 110110 => 2
[7,4,3,5,2,6,1] => 110101 => 2
[7,4,3,5,6,1,2] => 110010 => 2
[7,4,3,5,6,2,1] => 110011 => 1
[7,4,3,6,1,2,5] => 110100 => 2
[7,4,3,6,1,5,2] => 110101 => 2
[7,4,3,6,2,1,5] => 110110 => 2
[7,4,3,6,2,5,1] => 110101 => 2
[7,4,3,6,5,1,2] => 110110 => 2
[7,4,3,6,5,2,1] => 110111 => 1
[7,4,5,1,2,3,6] => 101000 => 2
[7,4,5,1,2,6,3] => 101001 => 2
[7,4,5,1,3,2,6] => 101010 => 3
[7,4,5,1,3,6,2] => 101001 => 2
[7,4,5,1,6,2,3] => 101010 => 3
[7,4,5,1,6,3,2] => 101011 => 2
[7,4,5,2,1,3,6] => 101100 => 2
[7,4,5,2,1,6,3] => 101101 => 2
[7,4,5,2,3,1,6] => 101010 => 3
[7,4,5,2,3,6,1] => 101001 => 2
[7,4,5,2,6,1,3] => 101010 => 3
[7,4,5,2,6,3,1] => 101011 => 2
[7,4,5,3,1,2,6] => 101100 => 2
[7,4,5,3,1,6,2] => 101101 => 2
[7,4,5,3,2,1,6] => 101110 => 2
[7,4,5,3,2,6,1] => 101101 => 2
[7,4,5,3,6,1,2] => 101010 => 3
[7,4,5,3,6,2,1] => 101011 => 2
[7,4,5,6,1,2,3] => 100100 => 2
[7,4,5,6,1,3,2] => 100101 => 2
[7,4,5,6,2,1,3] => 100110 => 2
[7,4,5,6,2,3,1] => 100101 => 2
[7,4,5,6,3,1,2] => 100110 => 2
[7,4,5,6,3,2,1] => 100111 => 1
[7,4,6,1,2,3,5] => 101000 => 2
[7,4,6,1,2,5,3] => 101001 => 2
[7,4,6,1,3,2,5] => 101010 => 3
[7,4,6,1,3,5,2] => 101001 => 2
[7,4,6,1,5,2,3] => 101010 => 3
[7,4,6,1,5,3,2] => 101011 => 2
[7,4,6,2,1,3,5] => 101100 => 2
[7,4,6,2,1,5,3] => 101101 => 2
[7,4,6,2,3,1,5] => 101010 => 3
[7,4,6,2,3,5,1] => 101001 => 2
[7,4,6,2,5,1,3] => 101010 => 3
[7,4,6,2,5,3,1] => 101011 => 2
[7,4,6,3,1,2,5] => 101100 => 2
[7,4,6,3,1,5,2] => 101101 => 2
[7,4,6,3,2,1,5] => 101110 => 2
[7,4,6,3,2,5,1] => 101101 => 2
[7,4,6,3,5,1,2] => 101010 => 3
[7,4,6,3,5,2,1] => 101011 => 2
[7,4,6,5,1,2,3] => 101100 => 2
[7,4,6,5,1,3,2] => 101101 => 2
[7,4,6,5,2,1,3] => 101110 => 2
[7,4,6,5,2,3,1] => 101101 => 2
[7,4,6,5,3,1,2] => 101110 => 2
[7,4,6,5,3,2,1] => 101111 => 1
[7,5,1,2,3,4,6] => 110000 => 1
[7,5,1,2,3,6,4] => 110001 => 1
[7,5,1,2,4,3,6] => 110010 => 2
[7,5,1,2,4,6,3] => 110001 => 1
[7,5,1,2,6,3,4] => 110010 => 2
[7,5,1,2,6,4,3] => 110011 => 1
[7,5,1,3,2,4,6] => 110100 => 2
[7,5,1,3,2,6,4] => 110101 => 2
[7,5,1,3,4,2,6] => 110010 => 2
[7,5,1,3,4,6,2] => 110001 => 1
[7,5,1,3,6,2,4] => 110010 => 2
[7,5,1,3,6,4,2] => 110011 => 1
[7,5,1,4,2,3,6] => 110100 => 2
[7,5,1,4,2,6,3] => 110101 => 2
[7,5,1,4,3,2,6] => 110110 => 2
[7,5,1,4,3,6,2] => 110101 => 2
[7,5,1,4,6,2,3] => 110010 => 2
[7,5,1,4,6,3,2] => 110011 => 1
[7,5,1,6,2,3,4] => 110100 => 2
[7,5,1,6,2,4,3] => 110101 => 2
[7,5,1,6,3,2,4] => 110110 => 2
[7,5,1,6,3,4,2] => 110101 => 2
[7,5,1,6,4,2,3] => 110110 => 2
[7,5,1,6,4,3,2] => 110111 => 1
[7,5,2,1,3,4,6] => 111000 => 1
[7,5,2,1,3,6,4] => 111001 => 1
[7,5,2,1,4,3,6] => 111010 => 2
[7,5,2,1,4,6,3] => 111001 => 1
[7,5,2,1,6,3,4] => 111010 => 2
[7,5,2,1,6,4,3] => 111011 => 1
[7,5,2,3,1,4,6] => 110100 => 2
[7,5,2,3,1,6,4] => 110101 => 2
[7,5,2,3,4,1,6] => 110010 => 2
[7,5,2,3,4,6,1] => 110001 => 1
[7,5,2,3,6,1,4] => 110010 => 2
[7,5,2,3,6,4,1] => 110011 => 1
[7,5,2,4,1,3,6] => 110100 => 2
[7,5,2,4,1,6,3] => 110101 => 2
[7,5,2,4,3,1,6] => 110110 => 2
[7,5,2,4,3,6,1] => 110101 => 2
[7,5,2,4,6,1,3] => 110010 => 2
[7,5,2,4,6,3,1] => 110011 => 1
[7,5,2,6,1,3,4] => 110100 => 2
[7,5,2,6,1,4,3] => 110101 => 2
[7,5,2,6,3,1,4] => 110110 => 2
[7,5,2,6,3,4,1] => 110101 => 2
[7,5,2,6,4,1,3] => 110110 => 2
[7,5,2,6,4,3,1] => 110111 => 1
[7,5,3,1,2,4,6] => 111000 => 1
[7,5,3,1,2,6,4] => 111001 => 1
[7,5,3,1,4,2,6] => 111010 => 2
[7,5,3,1,4,6,2] => 111001 => 1
[7,5,3,1,6,2,4] => 111010 => 2
[7,5,3,1,6,4,2] => 111011 => 1
[7,5,3,2,1,4,6] => 111100 => 1
[7,5,3,2,1,6,4] => 111101 => 1
[7,5,3,2,4,1,6] => 111010 => 2
[7,5,3,2,4,6,1] => 111001 => 1
[7,5,3,2,6,1,4] => 111010 => 2
[7,5,3,2,6,4,1] => 111011 => 1
[7,5,3,4,1,2,6] => 110100 => 2
[7,5,3,4,1,6,2] => 110101 => 2
[7,5,3,4,2,1,6] => 110110 => 2
[7,5,3,4,2,6,1] => 110101 => 2
[7,5,3,4,6,1,2] => 110010 => 2
[7,5,3,4,6,2,1] => 110011 => 1
[7,5,3,6,1,2,4] => 110100 => 2
[7,5,3,6,1,4,2] => 110101 => 2
[7,5,3,6,2,1,4] => 110110 => 2
[7,5,3,6,2,4,1] => 110101 => 2
[7,5,3,6,4,1,2] => 110110 => 2
[7,5,3,6,4,2,1] => 110111 => 1
[7,5,4,1,2,3,6] => 111000 => 1
[7,5,4,1,2,6,3] => 111001 => 1
[7,5,4,1,3,2,6] => 111010 => 2
[7,5,4,1,3,6,2] => 111001 => 1
[7,5,4,1,6,2,3] => 111010 => 2
[7,5,4,1,6,3,2] => 111011 => 1
[7,5,4,2,1,3,6] => 111100 => 1
[7,5,4,2,1,6,3] => 111101 => 1
[7,5,4,2,3,1,6] => 111010 => 2
[7,5,4,2,3,6,1] => 111001 => 1
[7,5,4,2,6,1,3] => 111010 => 2
[7,5,4,2,6,3,1] => 111011 => 1
[7,5,4,3,1,2,6] => 111100 => 1
[7,5,4,3,1,6,2] => 111101 => 1
[7,5,4,3,2,1,6] => 111110 => 1
[7,5,4,3,2,6,1] => 111101 => 1
[7,5,4,3,6,1,2] => 111010 => 2
[7,5,4,3,6,2,1] => 111011 => 1
[7,5,4,6,1,2,3] => 110100 => 2
[7,5,4,6,1,3,2] => 110101 => 2
[7,5,4,6,2,1,3] => 110110 => 2
[7,5,4,6,2,3,1] => 110101 => 2
[7,5,4,6,3,1,2] => 110110 => 2
[7,5,4,6,3,2,1] => 110111 => 1
[7,5,6,1,2,3,4] => 101000 => 2
[7,5,6,1,2,4,3] => 101001 => 2
[7,5,6,1,3,2,4] => 101010 => 3
[7,5,6,1,3,4,2] => 101001 => 2
[7,5,6,1,4,2,3] => 101010 => 3
[7,5,6,1,4,3,2] => 101011 => 2
[7,5,6,2,1,3,4] => 101100 => 2
[7,5,6,2,1,4,3] => 101101 => 2
[7,5,6,2,3,1,4] => 101010 => 3
[7,5,6,2,3,4,1] => 101001 => 2
[7,5,6,2,4,1,3] => 101010 => 3
[7,5,6,2,4,3,1] => 101011 => 2
[7,5,6,3,1,2,4] => 101100 => 2
[7,5,6,3,1,4,2] => 101101 => 2
[7,5,6,3,2,1,4] => 101110 => 2
[7,5,6,3,2,4,1] => 101101 => 2
[7,5,6,3,4,1,2] => 101010 => 3
[7,5,6,3,4,2,1] => 101011 => 2
[7,5,6,4,1,2,3] => 101100 => 2
[7,5,6,4,1,3,2] => 101101 => 2
[7,5,6,4,2,1,3] => 101110 => 2
[7,5,6,4,2,3,1] => 101101 => 2
[7,5,6,4,3,1,2] => 101110 => 2
[7,5,6,4,3,2,1] => 101111 => 1
[7,6,1,2,3,4,5] => 110000 => 1
[7,6,1,2,3,5,4] => 110001 => 1
[7,6,1,2,4,3,5] => 110010 => 2
[7,6,1,2,4,5,3] => 110001 => 1
[7,6,1,2,5,3,4] => 110010 => 2
[7,6,1,2,5,4,3] => 110011 => 1
[7,6,1,3,2,4,5] => 110100 => 2
[7,6,1,3,2,5,4] => 110101 => 2
[7,6,1,3,4,2,5] => 110010 => 2
[7,6,1,3,4,5,2] => 110001 => 1
[7,6,1,3,5,2,4] => 110010 => 2
[7,6,1,3,5,4,2] => 110011 => 1
[7,6,1,4,2,3,5] => 110100 => 2
[7,6,1,4,2,5,3] => 110101 => 2
[7,6,1,4,3,2,5] => 110110 => 2
[7,6,1,4,3,5,2] => 110101 => 2
[7,6,1,4,5,2,3] => 110010 => 2
[7,6,1,4,5,3,2] => 110011 => 1
[7,6,1,5,2,3,4] => 110100 => 2
[7,6,1,5,2,4,3] => 110101 => 2
[7,6,1,5,3,2,4] => 110110 => 2
[7,6,1,5,3,4,2] => 110101 => 2
[7,6,1,5,4,2,3] => 110110 => 2
[7,6,1,5,4,3,2] => 110111 => 1
[7,6,2,1,3,4,5] => 111000 => 1
[7,6,2,1,3,5,4] => 111001 => 1
[7,6,2,1,4,3,5] => 111010 => 2
[7,6,2,1,4,5,3] => 111001 => 1
[7,6,2,1,5,3,4] => 111010 => 2
[7,6,2,1,5,4,3] => 111011 => 1
[7,6,2,3,1,4,5] => 110100 => 2
[7,6,2,3,1,5,4] => 110101 => 2
[7,6,2,3,4,1,5] => 110010 => 2
[7,6,2,3,4,5,1] => 110001 => 1
[7,6,2,3,5,1,4] => 110010 => 2
[7,6,2,3,5,4,1] => 110011 => 1
[7,6,2,4,1,3,5] => 110100 => 2
[7,6,2,4,1,5,3] => 110101 => 2
[7,6,2,4,3,1,5] => 110110 => 2
[7,6,2,4,3,5,1] => 110101 => 2
[7,6,2,4,5,1,3] => 110010 => 2
[7,6,2,4,5,3,1] => 110011 => 1
[7,6,2,5,1,3,4] => 110100 => 2
[7,6,2,5,1,4,3] => 110101 => 2
[7,6,2,5,3,1,4] => 110110 => 2
[7,6,2,5,3,4,1] => 110101 => 2
[7,6,2,5,4,1,3] => 110110 => 2
[7,6,2,5,4,3,1] => 110111 => 1
[7,6,3,1,2,4,5] => 111000 => 1
[7,6,3,1,2,5,4] => 111001 => 1
[7,6,3,1,4,2,5] => 111010 => 2
[7,6,3,1,4,5,2] => 111001 => 1
[7,6,3,1,5,2,4] => 111010 => 2
[7,6,3,1,5,4,2] => 111011 => 1
[7,6,3,2,1,4,5] => 111100 => 1
[7,6,3,2,1,5,4] => 111101 => 1
[7,6,3,2,4,1,5] => 111010 => 2
[7,6,3,2,4,5,1] => 111001 => 1
[7,6,3,2,5,1,4] => 111010 => 2
[7,6,3,2,5,4,1] => 111011 => 1
[7,6,3,4,1,2,5] => 110100 => 2
[7,6,3,4,1,5,2] => 110101 => 2
[7,6,3,4,2,1,5] => 110110 => 2
[7,6,3,4,2,5,1] => 110101 => 2
[7,6,3,4,5,1,2] => 110010 => 2
[7,6,3,4,5,2,1] => 110011 => 1
[7,6,3,5,1,2,4] => 110100 => 2
[7,6,3,5,1,4,2] => 110101 => 2
[7,6,3,5,2,1,4] => 110110 => 2
[7,6,3,5,2,4,1] => 110101 => 2
[7,6,3,5,4,1,2] => 110110 => 2
[7,6,3,5,4,2,1] => 110111 => 1
[7,6,4,1,2,3,5] => 111000 => 1
[7,6,4,1,2,5,3] => 111001 => 1
[7,6,4,1,3,2,5] => 111010 => 2
[7,6,4,1,3,5,2] => 111001 => 1
[7,6,4,1,5,2,3] => 111010 => 2
[7,6,4,1,5,3,2] => 111011 => 1
[7,6,4,2,1,3,5] => 111100 => 1
[7,6,4,2,1,5,3] => 111101 => 1
[7,6,4,2,3,1,5] => 111010 => 2
[7,6,4,2,3,5,1] => 111001 => 1
[7,6,4,2,5,1,3] => 111010 => 2
[7,6,4,2,5,3,1] => 111011 => 1
[7,6,4,3,1,2,5] => 111100 => 1
[7,6,4,3,1,5,2] => 111101 => 1
[7,6,4,3,2,1,5] => 111110 => 1
[7,6,4,3,2,5,1] => 111101 => 1
[7,6,4,3,5,1,2] => 111010 => 2
[7,6,4,3,5,2,1] => 111011 => 1
[7,6,4,5,1,2,3] => 110100 => 2
[7,6,4,5,1,3,2] => 110101 => 2
[7,6,4,5,2,1,3] => 110110 => 2
[7,6,4,5,2,3,1] => 110101 => 2
[7,6,4,5,3,1,2] => 110110 => 2
[7,6,4,5,3,2,1] => 110111 => 1
[7,6,5,1,2,3,4] => 111000 => 1
[7,6,5,1,2,4,3] => 111001 => 1
[7,6,5,1,3,2,4] => 111010 => 2
[7,6,5,1,3,4,2] => 111001 => 1
[7,6,5,1,4,2,3] => 111010 => 2
[7,6,5,1,4,3,2] => 111011 => 1
[7,6,5,2,1,3,4] => 111100 => 1
[7,6,5,2,1,4,3] => 111101 => 1
[7,6,5,2,3,1,4] => 111010 => 2
[7,6,5,2,3,4,1] => 111001 => 1
[7,6,5,2,4,1,3] => 111010 => 2
[7,6,5,2,4,3,1] => 111011 => 1
[7,6,5,3,1,2,4] => 111100 => 1
[7,6,5,3,1,4,2] => 111101 => 1
[7,6,5,3,2,1,4] => 111110 => 1
[7,6,5,3,2,4,1] => 111101 => 1
[7,6,5,3,4,1,2] => 111010 => 2
[7,6,5,3,4,2,1] => 111011 => 1
[7,6,5,4,1,2,3] => 111100 => 1
[7,6,5,4,1,3,2] => 111101 => 1
[7,6,5,4,2,1,3] => 111110 => 1
[7,6,5,4,2,3,1] => 111101 => 1
[7,6,5,4,3,1,2] => 111110 => 1
[7,6,5,4,3,2,1] => 111111 => 0
[8,7,6,5,4,3,2,1] => 1111111 => 0
[7,8,6,5,4,3,2,1] => 0111111 => 0
[8,6,7,5,4,3,2,1] => 1011111 => 1
[7,6,8,5,4,3,2,1] => 1011111 => 1
[6,7,8,5,4,3,2,1] => 0011111 => 0
[8,7,5,6,4,3,2,1] => 1101111 => 1
[7,8,5,6,4,3,2,1] => 0101111 => 1
[8,6,5,7,4,3,2,1] => 1101111 => 1
[8,5,6,7,4,3,2,1] => 1001111 => 1
[7,6,5,8,4,3,2,1] => 1101111 => 1
[6,7,5,8,4,3,2,1] => 0101111 => 1
[7,5,6,8,4,3,2,1] => 1001111 => 1
[6,5,7,8,4,3,2,1] => 1001111 => 1
[5,6,7,8,4,3,2,1] => 0001111 => 0
[8,7,6,4,5,3,2,1] => 1110111 => 1
[7,8,6,4,5,3,2,1] => 0110111 => 1
[8,6,7,4,5,3,2,1] => 1010111 => 2
[7,6,8,4,5,3,2,1] => 1010111 => 2
[8,7,5,4,6,3,2,1] => 1110111 => 1
[8,7,4,5,6,3,2,1] => 1100111 => 1
[8,6,5,4,7,3,2,1] => 1110111 => 1
[8,5,6,4,7,3,2,1] => 1010111 => 2
[8,6,4,5,7,3,2,1] => 1100111 => 1
[8,5,4,6,7,3,2,1] => 1100111 => 1
[8,4,5,6,7,3,2,1] => 1000111 => 1
[7,6,5,4,8,3,2,1] => 1110111 => 1
[6,7,5,4,8,3,2,1] => 0110111 => 1
[7,5,6,4,8,3,2,1] => 1010111 => 2
[6,5,7,4,8,3,2,1] => 1010111 => 2
[5,6,7,4,8,3,2,1] => 0010111 => 1
[7,6,4,5,8,3,2,1] => 1100111 => 1
[6,7,4,5,8,3,2,1] => 0100111 => 1
[7,5,4,6,8,3,2,1] => 1100111 => 1
[7,4,5,6,8,3,2,1] => 1000111 => 1
[6,5,4,7,8,3,2,1] => 1100111 => 1
[5,6,4,7,8,3,2,1] => 0100111 => 1
[6,4,5,7,8,3,2,1] => 1000111 => 1
[5,4,6,7,8,3,2,1] => 1000111 => 1
[4,5,6,7,8,3,2,1] => 0000111 => 0
[8,7,6,5,3,4,2,1] => 1111011 => 1
[7,8,6,5,3,4,2,1] => 0111011 => 1
[8,6,7,5,3,4,2,1] => 1011011 => 2
[7,6,8,5,3,4,2,1] => 1011011 => 2
[8,7,5,6,3,4,2,1] => 1101011 => 2
[7,8,5,6,3,4,2,1] => 0101011 => 2
[8,5,6,7,3,4,2,1] => 1001011 => 2
[7,6,5,8,3,4,2,1] => 1101011 => 2
[6,7,5,8,3,4,2,1] => 0101011 => 2
[6,5,7,8,3,4,2,1] => 1001011 => 2
[5,6,7,8,3,4,2,1] => 0001011 => 1
[8,7,6,4,3,5,2,1] => 1111011 => 1
[7,8,6,4,3,5,2,1] => 0111011 => 1
[8,6,7,4,3,5,2,1] => 1011011 => 2
[7,6,8,4,3,5,2,1] => 1011011 => 2
[6,7,8,4,3,5,2,1] => 0011011 => 1
[8,7,6,3,4,5,2,1] => 1110011 => 1
[7,8,6,3,4,5,2,1] => 0110011 => 1
[8,6,7,3,4,5,2,1] => 1010011 => 2
[7,6,8,3,4,5,2,1] => 1010011 => 2
[6,7,8,3,4,5,2,1] => 0010011 => 1
[8,7,5,4,3,6,2,1] => 1111011 => 1
[7,8,5,4,3,6,2,1] => 0111011 => 1
[8,7,4,5,3,6,2,1] => 1101011 => 2
[8,7,5,3,4,6,2,1] => 1110011 => 1
[7,8,5,3,4,6,2,1] => 0110011 => 1
[8,7,4,3,5,6,2,1] => 1110011 => 1
[8,7,3,4,5,6,2,1] => 1100011 => 1
[7,8,3,4,5,6,2,1] => 0100011 => 1
[8,6,5,4,3,7,2,1] => 1111011 => 1
[8,6,4,5,3,7,2,1] => 1101011 => 2
[8,6,4,3,5,7,2,1] => 1110011 => 1
[8,5,4,3,6,7,2,1] => 1110011 => 1
[8,5,3,4,6,7,2,1] => 1100011 => 1
[8,4,3,5,6,7,2,1] => 1100011 => 1
[8,3,4,5,6,7,2,1] => 1000011 => 1
[7,6,5,4,3,8,2,1] => 1111011 => 1
[6,7,5,4,3,8,2,1] => 0111011 => 1
[7,5,6,4,3,8,2,1] => 1011011 => 2
[6,5,7,4,3,8,2,1] => 1011011 => 2
[5,6,7,4,3,8,2,1] => 0011011 => 1
[6,7,4,5,3,8,2,1] => 0101011 => 2
[7,5,4,6,3,8,2,1] => 1101011 => 2
[7,4,5,6,3,8,2,1] => 1001011 => 2
[6,5,4,7,3,8,2,1] => 1101011 => 2
[6,4,5,7,3,8,2,1] => 1001011 => 2
[5,4,6,7,3,8,2,1] => 1001011 => 2
[4,5,6,7,3,8,2,1] => 0001011 => 1
[7,6,5,3,4,8,2,1] => 1110011 => 1
[7,6,4,3,5,8,2,1] => 1110011 => 1
[7,6,3,4,5,8,2,1] => 1100011 => 1
[7,5,4,3,6,8,2,1] => 1110011 => 1
[7,5,3,4,6,8,2,1] => 1100011 => 1
[7,3,4,5,6,8,2,1] => 1000011 => 1
[6,5,4,3,7,8,2,1] => 1110011 => 1
[4,5,6,3,7,8,2,1] => 0010011 => 1
[6,5,3,4,7,8,2,1] => 1100011 => 1
[6,3,4,5,7,8,2,1] => 1000011 => 1
[5,4,3,6,7,8,2,1] => 1100011 => 1
[5,3,4,6,7,8,2,1] => 1000011 => 1
[4,3,5,6,7,8,2,1] => 1000011 => 1
[3,4,5,6,7,8,2,1] => 0000011 => 0
[8,7,6,5,4,2,3,1] => 1111101 => 1
[7,8,6,5,4,2,3,1] => 0111101 => 1
[8,6,7,5,4,2,3,1] => 1011101 => 2
[7,6,8,5,4,2,3,1] => 1011101 => 2
[8,7,5,6,4,2,3,1] => 1101101 => 2
[8,6,5,7,4,2,3,1] => 1101101 => 2
[8,5,6,7,4,2,3,1] => 1001101 => 2
[7,6,5,8,4,2,3,1] => 1101101 => 2
[6,7,5,8,4,2,3,1] => 0101101 => 2
[7,5,6,8,4,2,3,1] => 1001101 => 2
[5,6,7,8,4,2,3,1] => 0001101 => 1
[8,7,6,4,5,2,3,1] => 1110101 => 2
[8,6,7,4,5,2,3,1] => 1010101 => 3
[7,6,8,4,5,2,3,1] => 1010101 => 3
[8,7,5,4,6,2,3,1] => 1110101 => 2
[8,7,4,5,6,2,3,1] => 1100101 => 2
[7,8,4,5,6,2,3,1] => 0100101 => 2
[8,6,5,4,7,2,3,1] => 1110101 => 2
[8,5,6,4,7,2,3,1] => 1010101 => 3
[8,6,4,5,7,2,3,1] => 1100101 => 2
[8,4,5,6,7,2,3,1] => 1000101 => 2
[7,6,5,4,8,2,3,1] => 1110101 => 2
[7,5,6,4,8,2,3,1] => 1010101 => 3
[6,5,7,4,8,2,3,1] => 1010101 => 3
[6,7,4,5,8,2,3,1] => 0100101 => 2
[4,5,6,7,8,2,3,1] => 0000101 => 1
[8,7,6,5,3,2,4,1] => 1111101 => 1
[7,8,6,5,3,2,4,1] => 0111101 => 1
[8,6,7,5,3,2,4,1] => 1011101 => 2
[7,6,8,5,3,2,4,1] => 1011101 => 2
[6,7,8,5,3,2,4,1] => 0011101 => 1
[8,7,5,6,3,2,4,1] => 1101101 => 2
[8,6,5,7,3,2,4,1] => 1101101 => 2
[8,5,6,7,3,2,4,1] => 1001101 => 2
[7,6,5,8,3,2,4,1] => 1101101 => 2
[6,7,5,8,3,2,4,1] => 0101101 => 2
[5,6,7,8,3,2,4,1] => 0001101 => 1
[8,7,6,5,2,3,4,1] => 1111001 => 1
[8,6,7,5,2,3,4,1] => 1011001 => 2
[7,6,8,5,2,3,4,1] => 1011001 => 2
[6,7,8,5,2,3,4,1] => 0011001 => 1
[8,7,5,6,2,3,4,1] => 1101001 => 2
[7,8,5,6,2,3,4,1] => 0101001 => 2
[8,6,5,7,2,3,4,1] => 1101001 => 2
[8,5,6,7,2,3,4,1] => 1001001 => 2
[7,6,5,8,2,3,4,1] => 1101001 => 2
[6,7,5,8,2,3,4,1] => 0101001 => 2
[6,5,7,8,2,3,4,1] => 1001001 => 2
[5,6,7,8,2,3,4,1] => 0001001 => 1
[8,7,6,4,3,2,5,1] => 1111101 => 1
[7,8,6,4,3,2,5,1] => 0111101 => 1
[8,6,7,4,3,2,5,1] => 1011101 => 2
[7,6,8,4,3,2,5,1] => 1011101 => 2
[6,7,8,4,3,2,5,1] => 0011101 => 1
[8,7,6,3,4,2,5,1] => 1110101 => 2
[7,8,6,3,4,2,5,1] => 0110101 => 2
[8,6,7,3,4,2,5,1] => 1010101 => 3
[7,6,8,3,4,2,5,1] => 1010101 => 3
[6,7,8,3,4,2,5,1] => 0010101 => 2
[8,7,6,4,2,3,5,1] => 1111001 => 1
[8,6,7,4,2,3,5,1] => 1011001 => 2
[7,6,8,4,2,3,5,1] => 1011001 => 2
[6,7,8,4,2,3,5,1] => 0011001 => 1
[8,7,6,3,2,4,5,1] => 1111001 => 1
[7,8,6,3,2,4,5,1] => 0111001 => 1
[8,6,7,3,2,4,5,1] => 1011001 => 2
[6,7,8,3,2,4,5,1] => 0011001 => 1
[8,7,6,2,3,4,5,1] => 1110001 => 1
[7,8,6,2,3,4,5,1] => 0110001 => 1
[8,6,7,2,3,4,5,1] => 1010001 => 2
[7,6,8,2,3,4,5,1] => 1010001 => 2
[6,7,8,2,3,4,5,1] => 0010001 => 1
[8,7,5,4,3,2,6,1] => 1111101 => 1
[7,8,5,4,3,2,6,1] => 0111101 => 1
[8,7,5,3,4,2,6,1] => 1110101 => 2
[7,8,5,3,4,2,6,1] => 0110101 => 2
[8,7,4,3,5,2,6,1] => 1110101 => 2
[8,7,5,3,2,4,6,1] => 1111001 => 1
[8,7,4,3,2,5,6,1] => 1111001 => 1
[7,8,4,3,2,5,6,1] => 0111001 => 1
[7,8,3,4,2,5,6,1] => 0101001 => 2
[7,8,4,2,3,5,6,1] => 0110001 => 1
[7,8,3,2,4,5,6,1] => 0110001 => 1
[8,7,2,3,4,5,6,1] => 1100001 => 1
[7,8,2,3,4,5,6,1] => 0100001 => 1
[8,6,5,4,3,2,7,1] => 1111101 => 1
[8,5,6,4,3,2,7,1] => 1011101 => 2
[8,6,4,5,3,2,7,1] => 1101101 => 2
[8,5,4,6,3,2,7,1] => 1101101 => 2
[8,6,5,3,4,2,7,1] => 1110101 => 2
[8,5,6,3,4,2,7,1] => 1010101 => 3
[8,6,4,3,5,2,7,1] => 1110101 => 2
[8,6,3,4,5,2,7,1] => 1100101 => 2
[8,5,4,3,6,2,7,1] => 1110101 => 2
[8,4,5,3,6,2,7,1] => 1010101 => 3
[8,4,3,5,6,2,7,1] => 1100101 => 2
[8,3,4,5,6,2,7,1] => 1000101 => 2
[8,6,5,4,2,3,7,1] => 1111001 => 1
[8,5,6,4,2,3,7,1] => 1011001 => 2
[8,6,4,5,2,3,7,1] => 1101001 => 2
[8,6,5,3,2,4,7,1] => 1111001 => 1
[8,6,4,3,2,5,7,1] => 1111001 => 1
[8,6,4,2,3,5,7,1] => 1110001 => 1
[8,6,2,3,4,5,7,1] => 1100001 => 1
[8,5,4,3,2,6,7,1] => 1111001 => 1
[8,4,5,3,2,6,7,1] => 1011001 => 2
[8,5,3,4,2,6,7,1] => 1101001 => 2
[8,3,4,5,2,6,7,1] => 1001001 => 2
[8,5,4,2,3,6,7,1] => 1110001 => 1
[8,4,5,2,3,6,7,1] => 1010001 => 2
[8,5,2,3,4,6,7,1] => 1100001 => 1
[8,4,3,2,5,6,7,1] => 1110001 => 1
[8,3,4,2,5,6,7,1] => 1010001 => 2
[8,4,2,3,5,6,7,1] => 1100001 => 1
[8,3,2,4,5,6,7,1] => 1100001 => 1
[8,2,3,4,5,6,7,1] => 1000001 => 1
[7,6,5,4,3,2,8,1] => 1111101 => 1
[6,7,5,4,3,2,8,1] => 0111101 => 1
[7,5,6,4,3,2,8,1] => 1011101 => 2
[6,5,7,4,3,2,8,1] => 1011101 => 2
[5,6,7,4,3,2,8,1] => 0011101 => 1
[7,6,4,5,3,2,8,1] => 1101101 => 2
[6,7,4,5,3,2,8,1] => 0101101 => 2
[7,4,5,6,3,2,8,1] => 1001101 => 2
[6,5,4,7,3,2,8,1] => 1101101 => 2
[6,4,5,7,3,2,8,1] => 1001101 => 2
[4,5,6,7,3,2,8,1] => 0001101 => 1
[7,6,5,3,4,2,8,1] => 1110101 => 2
[7,5,6,3,4,2,8,1] => 1010101 => 3
[6,5,7,3,4,2,8,1] => 1010101 => 3
[5,6,7,3,4,2,8,1] => 0010101 => 2
[7,6,4,3,5,2,8,1] => 1110101 => 2
[7,6,3,4,5,2,8,1] => 1100101 => 2
[7,5,4,3,6,2,8,1] => 1110101 => 2
[7,4,5,3,6,2,8,1] => 1010101 => 3
[7,5,3,4,6,2,8,1] => 1100101 => 2
[7,3,4,5,6,2,8,1] => 1000101 => 2
[6,5,4,3,7,2,8,1] => 1110101 => 2
[6,4,5,3,7,2,8,1] => 1010101 => 3
[5,4,6,3,7,2,8,1] => 1010101 => 3
[4,5,6,3,7,2,8,1] => 0010101 => 2
[6,5,3,4,7,2,8,1] => 1100101 => 2
[5,6,3,4,7,2,8,1] => 0100101 => 2
[6,4,3,5,7,2,8,1] => 1100101 => 2
[6,3,4,5,7,2,8,1] => 1000101 => 2
[5,4,3,6,7,2,8,1] => 1100101 => 2
[4,5,3,6,7,2,8,1] => 0100101 => 2
[4,3,5,6,7,2,8,1] => 1000101 => 2
[3,4,5,6,7,2,8,1] => 0000101 => 1
[7,6,5,4,2,3,8,1] => 1111001 => 1
[6,7,5,4,2,3,8,1] => 0111001 => 1
[7,5,6,4,2,3,8,1] => 1011001 => 2
[6,5,7,4,2,3,8,1] => 1011001 => 2
[5,6,7,4,2,3,8,1] => 0011001 => 1
[7,6,4,5,2,3,8,1] => 1101001 => 2
[6,7,4,5,2,3,8,1] => 0101001 => 2
[7,5,4,6,2,3,8,1] => 1101001 => 2
[7,4,5,6,2,3,8,1] => 1001001 => 2
[6,5,4,7,2,3,8,1] => 1101001 => 2
[5,6,4,7,2,3,8,1] => 0101001 => 2
[6,4,5,7,2,3,8,1] => 1001001 => 2
[5,4,6,7,2,3,8,1] => 1001001 => 2
[4,5,6,7,2,3,8,1] => 0001001 => 1
[7,6,5,3,2,4,8,1] => 1111001 => 1
[6,7,5,3,2,4,8,1] => 0111001 => 1
[6,5,7,3,2,4,8,1] => 1011001 => 2
[7,6,5,2,3,4,8,1] => 1110001 => 1
[7,5,6,2,3,4,8,1] => 1010001 => 2
[5,6,7,2,3,4,8,1] => 0010001 => 1
[6,7,4,3,2,5,8,1] => 0111001 => 1
[7,6,4,2,3,5,8,1] => 1110001 => 1
[7,6,3,2,4,5,8,1] => 1110001 => 1
[6,7,3,2,4,5,8,1] => 0110001 => 1
[7,6,2,3,4,5,8,1] => 1100001 => 1
[6,7,2,3,4,5,8,1] => 0100001 => 1
[7,5,4,3,2,6,8,1] => 1111001 => 1
[7,4,3,5,2,6,8,1] => 1101001 => 2
[7,5,4,2,3,6,8,1] => 1110001 => 1
[7,4,5,2,3,6,8,1] => 1010001 => 2
[7,5,3,2,4,6,8,1] => 1110001 => 1
[7,5,2,3,4,6,8,1] => 1100001 => 1
[7,4,3,2,5,6,8,1] => 1110001 => 1
[7,4,2,3,5,6,8,1] => 1100001 => 1
[7,3,2,4,5,6,8,1] => 1100001 => 1
[7,2,3,4,5,6,8,1] => 1000001 => 1
[6,5,4,3,2,7,8,1] => 1111001 => 1
[5,4,6,3,2,7,8,1] => 1011001 => 2
[4,5,6,3,2,7,8,1] => 0011001 => 1
[6,5,3,4,2,7,8,1] => 1101001 => 2
[6,3,4,5,2,7,8,1] => 1001001 => 2
[5,4,3,6,2,7,8,1] => 1101001 => 2
[4,3,5,6,2,7,8,1] => 1001001 => 2
[3,4,5,6,2,7,8,1] => 0001001 => 1
[6,5,4,2,3,7,8,1] => 1110001 => 1
[5,6,4,2,3,7,8,1] => 0110001 => 1
[6,4,5,2,3,7,8,1] => 1010001 => 2
[5,4,6,2,3,7,8,1] => 1010001 => 2
[4,5,6,2,3,7,8,1] => 0010001 => 1
[6,5,3,2,4,7,8,1] => 1110001 => 1
[6,5,2,3,4,7,8,1] => 1100001 => 1
[6,2,3,4,5,7,8,1] => 1000001 => 1
[5,4,3,2,6,7,8,1] => 1110001 => 1
[4,5,3,2,6,7,8,1] => 0110001 => 1
[5,3,4,2,6,7,8,1] => 1010001 => 2
[4,3,5,2,6,7,8,1] => 1010001 => 2
[3,4,5,2,6,7,8,1] => 0010001 => 1
[5,4,2,3,6,7,8,1] => 1100001 => 1
[4,5,2,3,6,7,8,1] => 0100001 => 1
[5,3,2,4,6,7,8,1] => 1100001 => 1
[5,2,3,4,6,7,8,1] => 1000001 => 1
[4,3,2,5,6,7,8,1] => 1100001 => 1
[3,4,2,5,6,7,8,1] => 0100001 => 1
[4,2,3,5,6,7,8,1] => 1000001 => 1
[3,2,4,5,6,7,8,1] => 1000001 => 1
[2,3,4,5,6,7,8,1] => 0000001 => 0
[8,7,6,5,4,3,1,2] => 1111110 => 1
[7,8,6,5,4,3,1,2] => 0111110 => 1
[8,6,7,5,4,3,1,2] => 1011110 => 2
[7,6,8,5,4,3,1,2] => 1011110 => 2
[6,7,8,5,4,3,1,2] => 0011110 => 1
[8,7,5,6,4,3,1,2] => 1101110 => 2
[7,8,5,6,4,3,1,2] => 0101110 => 2
[8,6,5,7,4,3,1,2] => 1101110 => 2
[7,6,5,8,4,3,1,2] => 1101110 => 2
[6,7,5,8,4,3,1,2] => 0101110 => 2
[7,5,6,8,4,3,1,2] => 1001110 => 2
[6,5,7,8,4,3,1,2] => 1001110 => 2
[5,6,7,8,4,3,1,2] => 0001110 => 1
[8,7,6,4,5,3,1,2] => 1110110 => 2
[7,8,6,4,5,3,1,2] => 0110110 => 2
[8,6,7,4,5,3,1,2] => 1010110 => 3
[6,7,8,4,5,3,1,2] => 0010110 => 2
[8,7,5,4,6,3,1,2] => 1110110 => 2
[8,5,6,4,7,3,1,2] => 1010110 => 3
[8,6,4,5,7,3,1,2] => 1100110 => 2
[8,5,4,6,7,3,1,2] => 1100110 => 2
[7,6,5,4,8,3,1,2] => 1110110 => 2
[7,5,6,4,8,3,1,2] => 1010110 => 3
[6,5,7,4,8,3,1,2] => 1010110 => 3
[7,6,4,5,8,3,1,2] => 1100110 => 2
[6,7,4,5,8,3,1,2] => 0100110 => 2
[6,5,4,7,8,3,1,2] => 1100110 => 2
[5,6,4,7,8,3,1,2] => 0100110 => 2
[5,4,6,7,8,3,1,2] => 1000110 => 2
[4,5,6,7,8,3,1,2] => 0000110 => 1
[8,7,6,5,3,4,1,2] => 1111010 => 2
[7,8,6,5,3,4,1,2] => 0111010 => 2
[7,6,8,5,3,4,1,2] => 1011010 => 3
[6,7,8,5,3,4,1,2] => 0011010 => 2
[8,7,5,6,3,4,1,2] => 1101010 => 3
[7,8,5,6,3,4,1,2] => 0101010 => 3
[8,6,5,7,3,4,1,2] => 1101010 => 3
[8,5,6,7,3,4,1,2] => 1001010 => 3
[7,6,5,8,3,4,1,2] => 1101010 => 3
[6,7,5,8,3,4,1,2] => 0101010 => 3
[7,5,6,8,3,4,1,2] => 1001010 => 3
[6,5,7,8,3,4,1,2] => 1001010 => 3
[5,6,7,8,3,4,1,2] => 0001010 => 2
[6,7,8,4,3,5,1,2] => 0011010 => 2
[8,7,6,3,4,5,1,2] => 1110010 => 2
[8,6,7,3,4,5,1,2] => 1010010 => 3
[7,8,5,4,3,6,1,2] => 0111010 => 2
[8,7,4,5,3,6,1,2] => 1101010 => 3
[7,8,4,5,3,6,1,2] => 0101010 => 3
[7,8,5,3,4,6,1,2] => 0110010 => 2
[8,7,4,3,5,6,1,2] => 1110010 => 2
[7,8,4,3,5,6,1,2] => 0110010 => 2
[8,7,3,4,5,6,1,2] => 1100010 => 2
[7,8,3,4,5,6,1,2] => 0100010 => 2
[8,6,5,4,3,7,1,2] => 1111010 => 2
[8,5,4,3,6,7,1,2] => 1110010 => 2
[8,5,3,4,6,7,1,2] => 1100010 => 2
[8,4,3,5,6,7,1,2] => 1100010 => 2
[8,3,4,5,6,7,1,2] => 1000010 => 2
[7,6,5,4,3,8,1,2] => 1111010 => 2
[7,5,6,4,3,8,1,2] => 1011010 => 3
[6,5,7,4,3,8,1,2] => 1011010 => 3
[5,6,7,4,3,8,1,2] => 0011010 => 2
[6,7,4,5,3,8,1,2] => 0101010 => 3
[5,6,4,7,3,8,1,2] => 0101010 => 3
[5,4,6,7,3,8,1,2] => 1001010 => 3
[4,5,6,7,3,8,1,2] => 0001010 => 2
[7,6,5,3,4,8,1,2] => 1110010 => 2
[7,5,6,3,4,8,1,2] => 1010010 => 3
[5,6,7,3,4,8,1,2] => 0010010 => 2
[7,6,4,3,5,8,1,2] => 1110010 => 2
[7,6,3,4,5,8,1,2] => 1100010 => 2
[7,5,4,3,6,8,1,2] => 1110010 => 2
[7,5,3,4,6,8,1,2] => 1100010 => 2
[7,3,4,5,6,8,1,2] => 1000010 => 2
[6,5,4,3,7,8,1,2] => 1110010 => 2
[5,6,4,3,7,8,1,2] => 0110010 => 2
[5,4,6,3,7,8,1,2] => 1010010 => 3
[4,5,6,3,7,8,1,2] => 0010010 => 2
[6,5,3,4,7,8,1,2] => 1100010 => 2
[5,6,3,4,7,8,1,2] => 0100010 => 2
[6,4,3,5,7,8,1,2] => 1100010 => 2
[6,3,4,5,7,8,1,2] => 1000010 => 2
[5,4,3,6,7,8,1,2] => 1100010 => 2
[4,5,3,6,7,8,1,2] => 0100010 => 2
[5,3,4,6,7,8,1,2] => 1000010 => 2
[4,3,5,6,7,8,1,2] => 1000010 => 2
[3,4,5,6,7,8,1,2] => 0000010 => 1
[8,7,6,5,4,2,1,3] => 1111110 => 1
[7,8,6,5,4,2,1,3] => 0111110 => 1
[8,6,7,5,4,2,1,3] => 1011110 => 2
[7,6,8,5,4,2,1,3] => 1011110 => 2
[6,7,8,5,4,2,1,3] => 0011110 => 1
[8,7,5,6,4,2,1,3] => 1101110 => 2
[7,8,5,6,4,2,1,3] => 0101110 => 2
[8,6,5,7,4,2,1,3] => 1101110 => 2
[7,6,5,8,4,2,1,3] => 1101110 => 2
[6,7,5,8,4,2,1,3] => 0101110 => 2
[7,5,6,8,4,2,1,3] => 1001110 => 2
[6,5,7,8,4,2,1,3] => 1001110 => 2
[5,6,7,8,4,2,1,3] => 0001110 => 1
[8,7,6,4,5,2,1,3] => 1110110 => 2
[8,6,7,4,5,2,1,3] => 1010110 => 3
[7,6,8,4,5,2,1,3] => 1010110 => 3
[8,7,4,5,6,2,1,3] => 1100110 => 2
[8,6,5,4,7,2,1,3] => 1110110 => 2
[8,6,4,5,7,2,1,3] => 1100110 => 2
[8,4,5,6,7,2,1,3] => 1000110 => 2
[7,6,5,4,8,2,1,3] => 1110110 => 2
[6,7,5,4,8,2,1,3] => 0110110 => 2
[7,5,6,4,8,2,1,3] => 1010110 => 3
[6,5,7,4,8,2,1,3] => 1010110 => 3
[5,6,7,4,8,2,1,3] => 0010110 => 2
[7,6,4,5,8,2,1,3] => 1100110 => 2
[7,4,5,6,8,2,1,3] => 1000110 => 2
[5,4,6,7,8,2,1,3] => 1000110 => 2
[4,5,6,7,8,2,1,3] => 0000110 => 1
[8,7,6,5,4,1,2,3] => 1111100 => 1
[7,8,6,5,4,1,2,3] => 0111100 => 1
[7,6,8,5,4,1,2,3] => 1011100 => 2
[6,7,8,5,4,1,2,3] => 0011100 => 1
[7,8,5,6,4,1,2,3] => 0101100 => 2
[8,6,5,7,4,1,2,3] => 1101100 => 2
[8,5,6,7,4,1,2,3] => 1001100 => 2
[7,6,5,8,4,1,2,3] => 1101100 => 2
[6,7,5,8,4,1,2,3] => 0101100 => 2
[7,5,6,8,4,1,2,3] => 1001100 => 2
[6,5,7,8,4,1,2,3] => 1001100 => 2
[5,6,7,8,4,1,2,3] => 0001100 => 1
[8,7,6,4,5,1,2,3] => 1110100 => 2
[8,6,7,4,5,1,2,3] => 1010100 => 3
[6,7,8,4,5,1,2,3] => 0010100 => 2
[8,7,5,4,6,1,2,3] => 1110100 => 2
[7,8,5,4,6,1,2,3] => 0110100 => 2
[8,7,4,5,6,1,2,3] => 1100100 => 2
[7,8,4,5,6,1,2,3] => 0100100 => 2
[8,5,6,4,7,1,2,3] => 1010100 => 3
[8,6,4,5,7,1,2,3] => 1100100 => 2
[8,5,4,6,7,1,2,3] => 1100100 => 2
[8,4,5,6,7,1,2,3] => 1000100 => 2
[7,6,5,4,8,1,2,3] => 1110100 => 2
[6,7,5,4,8,1,2,3] => 0110100 => 2
[7,5,6,4,8,1,2,3] => 1010100 => 3
[6,5,7,4,8,1,2,3] => 1010100 => 3
[5,6,7,4,8,1,2,3] => 0010100 => 2
[7,6,4,5,8,1,2,3] => 1100100 => 2
[6,7,4,5,8,1,2,3] => 0100100 => 2
[7,5,4,6,8,1,2,3] => 1100100 => 2
[7,4,5,6,8,1,2,3] => 1000100 => 2
[6,5,4,7,8,1,2,3] => 1100100 => 2
[5,6,4,7,8,1,2,3] => 0100100 => 2
[6,4,5,7,8,1,2,3] => 1000100 => 2
[5,4,6,7,8,1,2,3] => 1000100 => 2
[4,5,6,7,8,1,2,3] => 0000100 => 1
[8,7,6,5,3,2,1,4] => 1111110 => 1
[7,8,6,5,3,2,1,4] => 0111110 => 1
[8,6,7,5,3,2,1,4] => 1011110 => 2
[7,6,8,5,3,2,1,4] => 1011110 => 2
[6,7,8,5,3,2,1,4] => 0011110 => 1
[8,7,5,6,3,2,1,4] => 1101110 => 2
[7,8,5,6,3,2,1,4] => 0101110 => 2
[8,6,5,7,3,2,1,4] => 1101110 => 2
[8,5,6,7,3,2,1,4] => 1001110 => 2
[7,6,5,8,3,2,1,4] => 1101110 => 2
[6,7,5,8,3,2,1,4] => 0101110 => 2
[7,5,6,8,3,2,1,4] => 1001110 => 2
[6,5,7,8,3,2,1,4] => 1001110 => 2
[5,6,7,8,3,2,1,4] => 0001110 => 1
[8,7,6,5,2,3,1,4] => 1111010 => 2
[7,8,6,5,2,3,1,4] => 0111010 => 2
[8,6,7,5,2,3,1,4] => 1011010 => 3
[7,6,8,5,2,3,1,4] => 1011010 => 3
[6,7,8,5,2,3,1,4] => 0011010 => 2
[8,7,5,6,2,3,1,4] => 1101010 => 3
[7,8,5,6,2,3,1,4] => 0101010 => 3
[8,6,5,7,2,3,1,4] => 1101010 => 3
[8,5,6,7,2,3,1,4] => 1001010 => 3
[7,6,5,8,2,3,1,4] => 1101010 => 3
[6,7,5,8,2,3,1,4] => 0101010 => 3
[7,5,6,8,2,3,1,4] => 1001010 => 3
[6,5,7,8,2,3,1,4] => 1001010 => 3
[5,6,7,8,2,3,1,4] => 0001010 => 2
[8,7,6,5,3,1,2,4] => 1111100 => 1
[7,8,6,5,3,1,2,4] => 0111100 => 1
[8,6,7,5,3,1,2,4] => 1011100 => 2
[7,6,8,5,3,1,2,4] => 1011100 => 2
[8,7,5,6,3,1,2,4] => 1101100 => 2
[7,8,5,6,3,1,2,4] => 0101100 => 2
[7,6,5,8,3,1,2,4] => 1101100 => 2
[6,7,5,8,3,1,2,4] => 0101100 => 2
[7,5,6,8,3,1,2,4] => 1001100 => 2
[6,5,7,8,3,1,2,4] => 1001100 => 2
[5,6,7,8,3,1,2,4] => 0001100 => 1
[8,7,6,5,2,1,3,4] => 1111100 => 1
[7,8,6,5,2,1,3,4] => 0111100 => 1
[7,6,8,5,2,1,3,4] => 1011100 => 2
[6,7,8,5,2,1,3,4] => 0011100 => 1
[8,7,5,6,2,1,3,4] => 1101100 => 2
[7,8,5,6,2,1,3,4] => 0101100 => 2
[8,6,5,7,2,1,3,4] => 1101100 => 2
[8,5,6,7,2,1,3,4] => 1001100 => 2
[7,6,5,8,2,1,3,4] => 1101100 => 2
[6,7,5,8,2,1,3,4] => 0101100 => 2
[7,5,6,8,2,1,3,4] => 1001100 => 2
[6,5,7,8,2,1,3,4] => 1001100 => 2
[5,6,7,8,2,1,3,4] => 0001100 => 1
[8,7,6,5,1,2,3,4] => 1111000 => 1
[7,8,6,5,1,2,3,4] => 0111000 => 1
[8,6,7,5,1,2,3,4] => 1011000 => 2
[7,6,8,5,1,2,3,4] => 1011000 => 2
[6,7,8,5,1,2,3,4] => 0011000 => 1
[8,7,5,6,1,2,3,4] => 1101000 => 2
[7,8,5,6,1,2,3,4] => 0101000 => 2
[8,6,5,7,1,2,3,4] => 1101000 => 2
[8,5,6,7,1,2,3,4] => 1001000 => 2
[7,6,5,8,1,2,3,4] => 1101000 => 2
[6,7,5,8,1,2,3,4] => 0101000 => 2
[7,5,6,8,1,2,3,4] => 1001000 => 2
[6,5,7,8,1,2,3,4] => 1001000 => 2
[5,6,7,8,1,2,3,4] => 0001000 => 1
[8,7,6,4,3,2,1,5] => 1111110 => 1
[7,8,6,4,3,2,1,5] => 0111110 => 1
[8,6,7,4,3,2,1,5] => 1011110 => 2
[7,6,8,4,3,2,1,5] => 1011110 => 2
[6,7,8,4,3,2,1,5] => 0011110 => 1
[8,7,6,3,4,2,1,5] => 1110110 => 2
[7,8,6,3,4,2,1,5] => 0110110 => 2
[6,7,8,3,4,2,1,5] => 0010110 => 2
[8,7,6,4,2,3,1,5] => 1111010 => 2
[8,6,7,4,2,3,1,5] => 1011010 => 3
[7,6,8,4,2,3,1,5] => 1011010 => 3
[6,7,8,4,2,3,1,5] => 0011010 => 2
[8,7,6,3,2,4,1,5] => 1111010 => 2
[8,6,7,3,2,4,1,5] => 1011010 => 3
[6,7,8,3,2,4,1,5] => 0011010 => 2
[8,7,6,2,3,4,1,5] => 1110010 => 2
[8,6,7,2,3,4,1,5] => 1010010 => 3
[7,6,8,2,3,4,1,5] => 1010010 => 3
[6,7,8,2,3,4,1,5] => 0010010 => 2
[8,7,6,4,3,1,2,5] => 1111100 => 1
[6,7,8,4,3,1,2,5] => 0011100 => 1
[8,7,6,3,4,1,2,5] => 1110100 => 2
[7,8,6,3,4,1,2,5] => 0110100 => 2
[8,6,7,3,4,1,2,5] => 1010100 => 3
[6,7,8,3,4,1,2,5] => 0010100 => 2
[8,7,6,4,2,1,3,5] => 1111100 => 1
[7,8,6,4,2,1,3,5] => 0111100 => 1
[8,6,7,4,2,1,3,5] => 1011100 => 2
[6,7,8,4,2,1,3,5] => 0011100 => 1
[8,7,6,4,1,2,3,5] => 1111000 => 1
[7,8,6,4,1,2,3,5] => 0111000 => 1
[7,6,8,4,1,2,3,5] => 1011000 => 2
[6,7,8,4,1,2,3,5] => 0011000 => 1
[8,7,6,3,2,1,4,5] => 1111100 => 1
[7,8,6,3,2,1,4,5] => 0111100 => 1
[8,6,7,3,2,1,4,5] => 1011100 => 2
[7,6,8,3,2,1,4,5] => 1011100 => 2
[6,7,8,3,2,1,4,5] => 0011100 => 1
[8,7,6,2,3,1,4,5] => 1110100 => 2
[7,8,6,2,3,1,4,5] => 0110100 => 2
[8,6,7,2,3,1,4,5] => 1010100 => 3
[7,6,8,2,3,1,4,5] => 1010100 => 3
[6,7,8,2,3,1,4,5] => 0010100 => 2
[8,7,6,3,1,2,4,5] => 1111000 => 1
[7,8,6,3,1,2,4,5] => 0111000 => 1
[8,6,7,3,1,2,4,5] => 1011000 => 2
[7,6,8,3,1,2,4,5] => 1011000 => 2
[6,7,8,3,1,2,4,5] => 0011000 => 1
[8,7,6,2,1,3,4,5] => 1111000 => 1
[7,8,6,2,1,3,4,5] => 0111000 => 1
[8,6,7,2,1,3,4,5] => 1011000 => 2
[6,7,8,2,1,3,4,5] => 0011000 => 1
[8,7,6,1,2,3,4,5] => 1110000 => 1
[7,8,6,1,2,3,4,5] => 0110000 => 1
[8,6,7,1,2,3,4,5] => 1010000 => 2
[7,6,8,1,2,3,4,5] => 1010000 => 2
[6,7,8,1,2,3,4,5] => 0010000 => 1
[8,7,5,4,3,2,1,6] => 1111110 => 1
[7,8,5,4,3,2,1,6] => 0111110 => 1
[8,7,4,5,3,2,1,6] => 1101110 => 2
[7,8,4,5,3,2,1,6] => 0101110 => 2
[8,7,5,3,4,2,1,6] => 1110110 => 2
[8,7,4,3,5,2,1,6] => 1110110 => 2
[8,7,3,4,5,2,1,6] => 1100110 => 2
[7,8,3,4,5,2,1,6] => 0100110 => 2
[8,7,4,5,2,3,1,6] => 1101010 => 3
[7,8,4,5,2,3,1,6] => 0101010 => 3
[8,7,5,3,2,4,1,6] => 1111010 => 2
[7,8,5,2,3,4,1,6] => 0110010 => 2
[8,7,4,3,2,5,1,6] => 1111010 => 2
[7,8,4,3,2,5,1,6] => 0111010 => 2
[8,7,3,4,2,5,1,6] => 1101010 => 3
[7,8,3,4,2,5,1,6] => 0101010 => 3
[8,7,2,3,4,5,1,6] => 1100010 => 2
[7,8,2,3,4,5,1,6] => 0100010 => 2
[8,7,5,4,3,1,2,6] => 1111100 => 1
[7,8,5,4,3,1,2,6] => 0111100 => 1
[8,7,5,3,4,1,2,6] => 1110100 => 2
[7,8,5,3,4,1,2,6] => 0110100 => 2
[8,7,3,4,5,1,2,6] => 1100100 => 2
[7,8,3,4,5,1,2,6] => 0100100 => 2
[7,8,5,4,2,1,3,6] => 0111100 => 1
[8,7,5,4,1,2,3,6] => 1111000 => 1
[7,8,5,4,1,2,3,6] => 0111000 => 1
[8,7,4,5,1,2,3,6] => 1101000 => 2
[7,8,4,5,1,2,3,6] => 0101000 => 2
[8,7,5,3,2,1,4,6] => 1111100 => 1
[7,8,5,3,2,1,4,6] => 0111100 => 1
[8,7,5,2,3,1,4,6] => 1110100 => 2
[8,7,5,3,1,2,4,6] => 1111000 => 1
[7,8,5,3,1,2,4,6] => 0111000 => 1
[8,7,5,2,1,3,4,6] => 1111000 => 1
[7,8,5,2,1,3,4,6] => 0111000 => 1
[8,7,5,1,2,3,4,6] => 1110000 => 1
[7,8,5,1,2,3,4,6] => 0110000 => 1
[8,7,4,3,2,1,5,6] => 1111100 => 1
[7,8,4,3,2,1,5,6] => 0111100 => 1
[8,7,3,4,2,1,5,6] => 1101100 => 2
[7,8,3,4,2,1,5,6] => 0101100 => 2
[7,8,4,2,3,1,5,6] => 0110100 => 2
[8,7,3,2,4,1,5,6] => 1110100 => 2
[7,8,3,2,4,1,5,6] => 0110100 => 2
[8,7,2,3,4,1,5,6] => 1100100 => 2
[7,8,2,3,4,1,5,6] => 0100100 => 2
[7,8,4,3,1,2,5,6] => 0111000 => 1
[8,7,3,4,1,2,5,6] => 1101000 => 2
[7,8,3,4,1,2,5,6] => 0101000 => 2
[8,7,4,2,1,3,5,6] => 1111000 => 1
[7,8,4,2,1,3,5,6] => 0111000 => 1
[8,7,4,1,2,3,5,6] => 1110000 => 1
[7,8,4,1,2,3,5,6] => 0110000 => 1
[8,7,3,2,1,4,5,6] => 1111000 => 1
[7,8,3,2,1,4,5,6] => 0111000 => 1
[8,7,2,3,1,4,5,6] => 1101000 => 2
[7,8,2,3,1,4,5,6] => 0101000 => 2
[7,8,3,1,2,4,5,6] => 0110000 => 1
[8,7,2,1,3,4,5,6] => 1110000 => 1
[7,8,2,1,3,4,5,6] => 0110000 => 1
[8,7,1,2,3,4,5,6] => 1100000 => 1
[7,8,1,2,3,4,5,6] => 0100000 => 1
[8,6,5,4,3,2,1,7] => 1111110 => 1
[8,5,6,4,3,2,1,7] => 1011110 => 2
[8,6,4,5,3,2,1,7] => 1101110 => 2
[8,5,4,6,3,2,1,7] => 1101110 => 2
[8,4,5,6,3,2,1,7] => 1001110 => 2
[8,6,5,3,4,2,1,7] => 1110110 => 2
[8,5,6,3,4,2,1,7] => 1010110 => 3
[8,6,4,3,5,2,1,7] => 1110110 => 2
[8,4,5,3,6,2,1,7] => 1010110 => 3
[8,4,3,5,6,2,1,7] => 1100110 => 2
[8,3,4,5,6,2,1,7] => 1000110 => 2
[8,6,5,4,2,3,1,7] => 1111010 => 2
[8,5,6,4,2,3,1,7] => 1011010 => 3
[8,6,4,5,2,3,1,7] => 1101010 => 3
[8,4,5,6,2,3,1,7] => 1001010 => 3
[8,6,5,3,2,4,1,7] => 1111010 => 2
[8,6,5,2,3,4,1,7] => 1110010 => 2
[8,5,6,2,3,4,1,7] => 1010010 => 3
[8,6,4,3,2,5,1,7] => 1111010 => 2
[8,6,4,2,3,5,1,7] => 1110010 => 2
[8,6,3,2,4,5,1,7] => 1110010 => 2
[8,5,4,3,2,6,1,7] => 1111010 => 2
[8,4,3,5,2,6,1,7] => 1101010 => 3
[8,5,4,2,3,6,1,7] => 1110010 => 2
[8,4,5,2,3,6,1,7] => 1010010 => 3
[8,5,3,2,4,6,1,7] => 1110010 => 2
[8,5,2,3,4,6,1,7] => 1100010 => 2
[8,3,4,2,5,6,1,7] => 1010010 => 3
[8,3,2,4,5,6,1,7] => 1100010 => 2
[8,2,3,4,5,6,1,7] => 1000010 => 2
[8,6,5,4,3,1,2,7] => 1111100 => 1
[8,6,4,5,3,1,2,7] => 1101100 => 2
[8,6,5,3,4,1,2,7] => 1110100 => 2
[8,5,6,3,4,1,2,7] => 1010100 => 3
[8,6,3,4,5,1,2,7] => 1100100 => 2
[8,5,4,3,6,1,2,7] => 1110100 => 2
[8,4,5,3,6,1,2,7] => 1010100 => 3
[8,5,3,4,6,1,2,7] => 1100100 => 2
[8,4,3,5,6,1,2,7] => 1100100 => 2
[8,3,4,5,6,1,2,7] => 1000100 => 2
[8,6,5,4,2,1,3,7] => 1111100 => 1
[8,5,6,4,2,1,3,7] => 1011100 => 2
[8,6,4,5,2,1,3,7] => 1101100 => 2
[8,4,5,6,2,1,3,7] => 1001100 => 2
[8,6,5,4,1,2,3,7] => 1111000 => 1
[8,5,6,4,1,2,3,7] => 1011000 => 2
[8,6,4,5,1,2,3,7] => 1101000 => 2
[8,4,5,6,1,2,3,7] => 1001000 => 2
[8,6,5,3,2,1,4,7] => 1111100 => 1
[8,5,6,3,2,1,4,7] => 1011100 => 2
[8,6,5,2,3,1,4,7] => 1110100 => 2
[8,5,6,2,3,1,4,7] => 1010100 => 3
[8,5,6,3,1,2,4,7] => 1011000 => 2
[8,6,5,2,1,3,4,7] => 1111000 => 1
[8,5,6,2,1,3,4,7] => 1011000 => 2
[8,6,5,1,2,3,4,7] => 1110000 => 1
[8,5,6,1,2,3,4,7] => 1010000 => 2
[8,6,4,3,2,1,5,7] => 1111100 => 1
[8,6,3,4,2,1,5,7] => 1101100 => 2
[8,6,4,2,3,1,5,7] => 1110100 => 2
[8,6,3,2,4,1,5,7] => 1110100 => 2
[8,6,2,3,4,1,5,7] => 1100100 => 2
[8,6,4,3,1,2,5,7] => 1111000 => 1
[8,6,3,4,1,2,5,7] => 1101000 => 2
[8,6,4,2,1,3,5,7] => 1111000 => 1
[8,6,4,1,2,3,5,7] => 1110000 => 1
[8,6,1,2,3,4,5,7] => 1100000 => 1
[8,5,4,3,2,1,6,7] => 1111100 => 1
[8,4,5,3,2,1,6,7] => 1011100 => 2
[8,4,3,5,2,1,6,7] => 1101100 => 2
[8,3,4,5,2,1,6,7] => 1001100 => 2
[8,4,5,2,3,1,6,7] => 1010100 => 3
[8,5,2,3,4,1,6,7] => 1100100 => 2
[8,4,2,3,5,1,6,7] => 1100100 => 2
[8,2,3,4,5,1,6,7] => 1000100 => 2
[8,5,3,4,1,2,6,7] => 1101000 => 2
[8,3,4,5,1,2,6,7] => 1001000 => 2
[8,5,4,2,1,3,6,7] => 1111000 => 1
[8,5,4,1,2,3,6,7] => 1110000 => 1
[8,4,5,1,2,3,6,7] => 1010000 => 2
[8,5,3,2,1,4,6,7] => 1111000 => 1
[8,5,3,1,2,4,6,7] => 1110000 => 1
[8,5,2,1,3,4,6,7] => 1110000 => 1
[8,5,1,2,3,4,6,7] => 1100000 => 1
[8,4,3,2,1,5,6,7] => 1111000 => 1
[8,3,4,2,1,5,6,7] => 1011000 => 2
[8,4,2,3,1,5,6,7] => 1101000 => 2
[8,2,3,4,1,5,6,7] => 1001000 => 2
[8,3,4,1,2,5,6,7] => 1010000 => 2
[8,4,2,1,3,5,6,7] => 1110000 => 1
[8,4,1,2,3,5,6,7] => 1100000 => 1
[8,3,2,1,4,5,6,7] => 1110000 => 1
[8,2,3,1,4,5,6,7] => 1010000 => 2
[8,3,1,2,4,5,6,7] => 1100000 => 1
[8,2,1,3,4,5,6,7] => 1100000 => 1
[8,1,2,3,4,5,6,7] => 1000000 => 1
[7,6,5,4,3,2,1,8] => 1111110 => 1
[6,7,5,4,3,2,1,8] => 0111110 => 1
[7,5,6,4,3,2,1,8] => 1011110 => 2
[6,5,7,4,3,2,1,8] => 1011110 => 2
[5,6,7,4,3,2,1,8] => 0011110 => 1
[7,6,4,5,3,2,1,8] => 1101110 => 2
[6,7,4,5,3,2,1,8] => 0101110 => 2
[7,5,4,6,3,2,1,8] => 1101110 => 2
[7,4,5,6,3,2,1,8] => 1001110 => 2
[6,5,4,7,3,2,1,8] => 1101110 => 2
[5,6,4,7,3,2,1,8] => 0101110 => 2
[5,4,6,7,3,2,1,8] => 1001110 => 2
[4,5,6,7,3,2,1,8] => 0001110 => 1
[7,6,5,3,4,2,1,8] => 1110110 => 2
[6,7,5,3,4,2,1,8] => 0110110 => 2
[7,5,6,3,4,2,1,8] => 1010110 => 3
[6,5,7,3,4,2,1,8] => 1010110 => 3
[5,6,7,3,4,2,1,8] => 0010110 => 2
[7,6,4,3,5,2,1,8] => 1110110 => 2
[6,7,4,3,5,2,1,8] => 0110110 => 2
[7,6,3,4,5,2,1,8] => 1100110 => 2
[7,5,4,3,6,2,1,8] => 1110110 => 2
[7,4,5,3,6,2,1,8] => 1010110 => 3
[7,3,4,5,6,2,1,8] => 1000110 => 2
[6,5,4,3,7,2,1,8] => 1110110 => 2
[5,6,4,3,7,2,1,8] => 0110110 => 2
[5,4,6,3,7,2,1,8] => 1010110 => 3
[5,4,3,6,7,2,1,8] => 1100110 => 2
[3,4,5,6,7,2,1,8] => 0000110 => 1
[7,6,5,4,2,3,1,8] => 1111010 => 2
[6,7,5,4,2,3,1,8] => 0111010 => 2
[7,5,6,4,2,3,1,8] => 1011010 => 3
[5,6,7,4,2,3,1,8] => 0011010 => 2
[7,6,4,5,2,3,1,8] => 1101010 => 3
[6,7,4,5,2,3,1,8] => 0101010 => 3
[7,5,4,6,2,3,1,8] => 1101010 => 3
[7,4,5,6,2,3,1,8] => 1001010 => 3
[6,5,4,7,2,3,1,8] => 1101010 => 3
[5,6,4,7,2,3,1,8] => 0101010 => 3
[5,4,6,7,2,3,1,8] => 1001010 => 3
[4,5,6,7,2,3,1,8] => 0001010 => 2
[7,6,5,3,2,4,1,8] => 1111010 => 2
[6,5,7,3,2,4,1,8] => 1011010 => 3
[5,6,7,3,2,4,1,8] => 0011010 => 2
[7,6,5,2,3,4,1,8] => 1110010 => 2
[6,7,5,2,3,4,1,8] => 0110010 => 2
[7,5,6,2,3,4,1,8] => 1010010 => 3
[6,5,7,2,3,4,1,8] => 1010010 => 3
[5,6,7,2,3,4,1,8] => 0010010 => 2
[7,6,4,3,2,5,1,8] => 1111010 => 2
[6,7,4,3,2,5,1,8] => 0111010 => 2
[6,7,3,4,2,5,1,8] => 0101010 => 3
[7,6,4,2,3,5,1,8] => 1110010 => 2
[6,7,4,2,3,5,1,8] => 0110010 => 2
[7,6,3,2,4,5,1,8] => 1110010 => 2
[6,7,3,2,4,5,1,8] => 0110010 => 2
[7,6,2,3,4,5,1,8] => 1100010 => 2
[6,7,2,3,4,5,1,8] => 0100010 => 2
[7,5,4,3,2,6,1,8] => 1111010 => 2
[7,4,5,3,2,6,1,8] => 1011010 => 3
[7,5,3,4,2,6,1,8] => 1101010 => 3
[7,4,3,5,2,6,1,8] => 1101010 => 3
[7,5,4,2,3,6,1,8] => 1110010 => 2
[7,4,5,2,3,6,1,8] => 1010010 => 3
[7,5,3,2,4,6,1,8] => 1110010 => 2
[7,4,2,3,5,6,1,8] => 1100010 => 2
[7,2,3,4,5,6,1,8] => 1000010 => 2
[6,5,4,3,2,7,1,8] => 1111010 => 2
[5,6,4,3,2,7,1,8] => 0111010 => 2
[5,4,6,3,2,7,1,8] => 1011010 => 3
[5,6,3,4,2,7,1,8] => 0101010 => 3
[6,3,4,5,2,7,1,8] => 1001010 => 3
[5,4,3,6,2,7,1,8] => 1101010 => 3
[4,5,3,6,2,7,1,8] => 0101010 => 3
[5,3,4,6,2,7,1,8] => 1001010 => 3
[4,3,5,6,2,7,1,8] => 1001010 => 3
[3,4,5,6,2,7,1,8] => 0001010 => 2
[5,4,6,2,3,7,1,8] => 1010010 => 3
[6,5,3,2,4,7,1,8] => 1110010 => 2
[6,4,2,3,5,7,1,8] => 1100010 => 2
[6,3,2,4,5,7,1,8] => 1100010 => 2
[6,2,3,4,5,7,1,8] => 1000010 => 2
[5,4,3,2,6,7,1,8] => 1110010 => 2
[3,4,5,2,6,7,1,8] => 0010010 => 2
[5,4,2,3,6,7,1,8] => 1100010 => 2
[4,5,2,3,6,7,1,8] => 0100010 => 2
[5,2,3,4,6,7,1,8] => 1000010 => 2
[4,3,2,5,6,7,1,8] => 1100010 => 2
[3,4,2,5,6,7,1,8] => 0100010 => 2
[4,2,3,5,6,7,1,8] => 1000010 => 2
[3,2,4,5,6,7,1,8] => 1000010 => 2
[2,3,4,5,6,7,1,8] => 0000010 => 1
[7,6,5,4,3,1,2,8] => 1111100 => 1
[6,7,5,4,3,1,2,8] => 0111100 => 1
[7,5,6,4,3,1,2,8] => 1011100 => 2
[7,6,4,5,3,1,2,8] => 1101100 => 2
[7,4,5,6,3,1,2,8] => 1001100 => 2
[5,4,6,7,3,1,2,8] => 1001100 => 2
[4,5,6,7,3,1,2,8] => 0001100 => 1
[7,6,5,3,4,1,2,8] => 1110100 => 2
[7,5,6,3,4,1,2,8] => 1010100 => 3
[6,7,3,4,5,1,2,8] => 0100100 => 2
[7,5,3,4,6,1,2,8] => 1100100 => 2
[6,5,4,3,7,1,2,8] => 1110100 => 2
[5,6,3,4,7,1,2,8] => 0100100 => 2
[6,4,3,5,7,1,2,8] => 1100100 => 2
[6,3,4,5,7,1,2,8] => 1000100 => 2
[4,3,5,6,7,1,2,8] => 1000100 => 2
[3,4,5,6,7,1,2,8] => 0000100 => 1
[7,6,5,4,2,1,3,8] => 1111100 => 1
[6,5,7,4,2,1,3,8] => 1011100 => 2
[7,6,4,5,2,1,3,8] => 1101100 => 2
[7,5,4,6,2,1,3,8] => 1101100 => 2
[7,4,5,6,2,1,3,8] => 1001100 => 2
[5,4,6,7,2,1,3,8] => 1001100 => 2
[4,5,6,7,2,1,3,8] => 0001100 => 1
[7,6,5,4,1,2,3,8] => 1111000 => 1
[7,5,6,4,1,2,3,8] => 1011000 => 2
[5,6,7,4,1,2,3,8] => 0011000 => 1
[7,6,4,5,1,2,3,8] => 1101000 => 2
[7,5,4,6,1,2,3,8] => 1101000 => 2
[7,4,5,6,1,2,3,8] => 1001000 => 2
[5,4,6,7,1,2,3,8] => 1001000 => 2
[4,5,6,7,1,2,3,8] => 0001000 => 1
[7,6,5,3,2,1,4,8] => 1111100 => 1
[7,6,5,2,3,1,4,8] => 1110100 => 2
[6,7,5,2,3,1,4,8] => 0110100 => 2
[7,5,6,2,3,1,4,8] => 1010100 => 3
[6,5,7,2,3,1,4,8] => 1010100 => 3
[5,6,7,2,3,1,4,8] => 0010100 => 2
[7,5,6,3,1,2,4,8] => 1011000 => 2
[7,6,5,2,1,3,4,8] => 1111000 => 1
[6,7,5,2,1,3,4,8] => 0111000 => 1
[7,5,6,2,1,3,4,8] => 1011000 => 2
[5,6,7,2,1,3,4,8] => 0011000 => 1
[7,6,5,1,2,3,4,8] => 1110000 => 1
[6,7,5,1,2,3,4,8] => 0110000 => 1
[7,5,6,1,2,3,4,8] => 1010000 => 2
[6,5,7,1,2,3,4,8] => 1010000 => 2
[5,6,7,1,2,3,4,8] => 0010000 => 1
[7,6,4,3,2,1,5,8] => 1111100 => 1
[6,7,4,3,2,1,5,8] => 0111100 => 1
[7,6,3,4,2,1,5,8] => 1101100 => 2
[7,6,3,2,4,1,5,8] => 1110100 => 2
[6,7,3,2,4,1,5,8] => 0110100 => 2
[7,6,2,3,4,1,5,8] => 1100100 => 2
[6,7,2,3,4,1,5,8] => 0100100 => 2
[7,6,4,3,1,2,5,8] => 1111000 => 1
[6,7,3,4,1,2,5,8] => 0101000 => 2
[7,6,4,2,1,3,5,8] => 1111000 => 1
[7,6,3,2,1,4,5,8] => 1111000 => 1
[6,7,3,2,1,4,5,8] => 0111000 => 1
[7,6,2,3,1,4,5,8] => 1101000 => 2
[6,7,2,3,1,4,5,8] => 0101000 => 2
[6,7,3,1,2,4,5,8] => 0110000 => 1
[7,6,1,2,3,4,5,8] => 1100000 => 1
[6,7,1,2,3,4,5,8] => 0100000 => 1
[7,5,4,3,2,1,6,8] => 1111100 => 1
[7,4,5,3,2,1,6,8] => 1011100 => 2
[7,4,3,5,2,1,6,8] => 1101100 => 2
[7,3,4,5,2,1,6,8] => 1001100 => 2
[7,5,4,2,3,1,6,8] => 1110100 => 2
[7,5,3,2,4,1,6,8] => 1110100 => 2
[7,5,2,3,4,1,6,8] => 1100100 => 2
[7,4,2,3,5,1,6,8] => 1100100 => 2
[7,2,3,4,5,1,6,8] => 1000100 => 2
[7,5,4,3,1,2,6,8] => 1111000 => 1
[7,5,3,4,1,2,6,8] => 1101000 => 2
[7,4,5,2,1,3,6,8] => 1011000 => 2
[7,4,5,1,2,3,6,8] => 1010000 => 2
[7,5,3,2,1,4,6,8] => 1111000 => 1
[7,5,2,3,1,4,6,8] => 1101000 => 2
[7,5,3,1,2,4,6,8] => 1110000 => 1
[7,5,1,2,3,4,6,8] => 1100000 => 1
[7,4,3,2,1,5,6,8] => 1111000 => 1
[7,2,3,4,1,5,6,8] => 1001000 => 2
[7,4,3,1,2,5,6,8] => 1110000 => 1
[7,3,4,1,2,5,6,8] => 1010000 => 2
[7,4,1,2,3,5,6,8] => 1100000 => 1
[7,3,2,1,4,5,6,8] => 1110000 => 1
[7,2,3,1,4,5,6,8] => 1010000 => 2
[7,3,1,2,4,5,6,8] => 1100000 => 1
[7,2,1,3,4,5,6,8] => 1100000 => 1
[7,1,2,3,4,5,6,8] => 1000000 => 1
[6,5,4,3,2,1,7,8] => 1111100 => 1
[5,6,4,3,2,1,7,8] => 0111100 => 1
[5,4,6,3,2,1,7,8] => 1011100 => 2
[4,5,6,3,2,1,7,8] => 0011100 => 1
[6,5,3,4,2,1,7,8] => 1101100 => 2
[5,6,3,4,2,1,7,8] => 0101100 => 2
[5,4,3,6,2,1,7,8] => 1101100 => 2
[3,4,5,6,2,1,7,8] => 0001100 => 1
[5,4,6,2,3,1,7,8] => 1010100 => 3
[5,6,3,2,4,1,7,8] => 0110100 => 2
[6,5,2,3,4,1,7,8] => 1100100 => 2
[5,6,2,3,4,1,7,8] => 0100100 => 2
[6,4,3,2,5,1,7,8] => 1110100 => 2
[6,2,3,4,5,1,7,8] => 1000100 => 2
[5,4,3,2,6,1,7,8] => 1110100 => 2
[4,5,3,2,6,1,7,8] => 0110100 => 2
[4,3,5,2,6,1,7,8] => 1010100 => 3
[3,4,5,2,6,1,7,8] => 0010100 => 2
[5,3,2,4,6,1,7,8] => 1100100 => 2
[5,2,3,4,6,1,7,8] => 1000100 => 2
[4,3,2,5,6,1,7,8] => 1100100 => 2
[3,4,2,5,6,1,7,8] => 0100100 => 2
[4,2,3,5,6,1,7,8] => 1000100 => 2
[3,2,4,5,6,1,7,8] => 1000100 => 2
[2,3,4,5,6,1,7,8] => 0000100 => 1
[6,5,4,3,1,2,7,8] => 1111000 => 1
[6,4,5,3,1,2,7,8] => 1011000 => 2
[5,4,6,3,1,2,7,8] => 1011000 => 2
[5,6,3,4,1,2,7,8] => 0101000 => 2
[5,4,3,6,1,2,7,8] => 1101000 => 2
[4,3,5,6,1,2,7,8] => 1001000 => 2
[3,4,5,6,1,2,7,8] => 0001000 => 1
[6,5,4,2,1,3,7,8] => 1111000 => 1
[5,6,4,2,1,3,7,8] => 0111000 => 1
[6,4,5,2,1,3,7,8] => 1011000 => 2
[4,5,6,2,1,3,7,8] => 0011000 => 1
[6,5,4,1,2,3,7,8] => 1110000 => 1
[4,5,6,1,2,3,7,8] => 0010000 => 1
[6,5,3,2,1,4,7,8] => 1111000 => 1
[5,6,3,2,1,4,7,8] => 0111000 => 1
[5,6,2,1,3,4,7,8] => 0110000 => 1
[6,4,3,2,1,5,7,8] => 1111000 => 1
[6,3,4,2,1,5,7,8] => 1011000 => 2
[6,4,3,1,2,5,7,8] => 1110000 => 1
[6,4,2,1,3,5,7,8] => 1110000 => 1
[6,4,1,2,3,5,7,8] => 1100000 => 1
[6,3,2,1,4,5,7,8] => 1110000 => 1
[6,2,3,1,4,5,7,8] => 1010000 => 2
[6,3,1,2,4,5,7,8] => 1100000 => 1
[6,2,1,3,4,5,7,8] => 1100000 => 1
[6,1,2,3,4,5,7,8] => 1000000 => 1
[5,4,3,2,1,6,7,8] => 1111000 => 1
[4,5,3,2,1,6,7,8] => 0111000 => 1
[5,3,4,2,1,6,7,8] => 1011000 => 2
[4,3,5,2,1,6,7,8] => 1011000 => 2
[3,4,5,2,1,6,7,8] => 0011000 => 1
[5,4,2,3,1,6,7,8] => 1101000 => 2
[4,5,2,3,1,6,7,8] => 0101000 => 2
[5,3,2,4,1,6,7,8] => 1101000 => 2
[5,2,3,4,1,6,7,8] => 1001000 => 2
[4,3,2,5,1,6,7,8] => 1101000 => 2
[3,4,2,5,1,6,7,8] => 0101000 => 2
[4,2,3,5,1,6,7,8] => 1001000 => 2
[3,2,4,5,1,6,7,8] => 1001000 => 2
[2,3,4,5,1,6,7,8] => 0001000 => 1
[5,4,3,1,2,6,7,8] => 1110000 => 1
[5,3,4,1,2,6,7,8] => 1010000 => 2
[4,3,5,1,2,6,7,8] => 1010000 => 2
[3,4,5,1,2,6,7,8] => 0010000 => 1
[5,4,2,1,3,6,7,8] => 1110000 => 1
[4,5,2,1,3,6,7,8] => 0110000 => 1
[5,4,1,2,3,6,7,8] => 1100000 => 1
[4,5,1,2,3,6,7,8] => 0100000 => 1
[5,3,2,1,4,6,7,8] => 1110000 => 1
[5,2,3,1,4,6,7,8] => 1010000 => 2
[5,3,1,2,4,6,7,8] => 1100000 => 1
[5,2,1,3,4,6,7,8] => 1100000 => 1
[5,1,2,3,4,6,7,8] => 1000000 => 1
[4,3,2,1,5,6,7,8] => 1110000 => 1
[3,4,2,1,5,6,7,8] => 0110000 => 1
[4,2,3,1,5,6,7,8] => 1010000 => 2
[3,2,4,1,5,6,7,8] => 1010000 => 2
[2,3,4,1,5,6,7,8] => 0010000 => 1
[4,3,1,2,5,6,7,8] => 1100000 => 1
[3,4,1,2,5,6,7,8] => 0100000 => 1
[4,2,1,3,5,6,7,8] => 1100000 => 1
[4,1,2,3,5,6,7,8] => 1000000 => 1
[3,2,1,4,5,6,7,8] => 1100000 => 1
[2,3,1,4,5,6,7,8] => 0100000 => 1
[3,1,2,4,5,6,7,8] => 1000000 => 1
[2,1,3,4,5,6,7,8] => 1000000 => 1
[1,2,3,4,5,6,7,8] => 0000000 => 0
[6,8,7,5,4,3,2,1] => 0111111 => 0
[5,8,7,6,4,3,2,1] => 0111111 => 0
[5,7,8,6,4,3,2,1] => 0011111 => 0
[6,5,8,7,4,3,2,1] => 1011111 => 1
[5,6,8,7,4,3,2,1] => 0011111 => 0
[5,7,6,8,4,3,2,1] => 0101111 => 1
[4,8,7,6,5,3,2,1] => 0111111 => 0
[4,7,8,6,5,3,2,1] => 0011111 => 0
[4,6,8,7,5,3,2,1] => 0011111 => 0
[4,7,6,8,5,3,2,1] => 0101111 => 1
[4,6,7,8,5,3,2,1] => 0001111 => 0
[5,4,7,8,6,3,2,1] => 1001111 => 1
[4,5,8,7,6,3,2,1] => 0011111 => 0
[4,5,7,8,6,3,2,1] => 0001111 => 0
[6,5,4,8,7,3,2,1] => 1101111 => 1
[5,6,4,8,7,3,2,1] => 0101111 => 1
[4,6,5,8,7,3,2,1] => 0101111 => 1
[4,5,6,8,7,3,2,1] => 0001111 => 0
[5,7,6,4,8,3,2,1] => 0110111 => 1
[4,7,6,5,8,3,2,1] => 0110111 => 1
[4,6,7,5,8,3,2,1] => 0010111 => 1
[5,4,7,6,8,3,2,1] => 1010111 => 2
[4,5,7,6,8,3,2,1] => 0010111 => 1
[4,6,5,7,8,3,2,1] => 0100111 => 1
[3,8,7,6,5,4,2,1] => 0111111 => 0
[3,7,8,6,5,4,2,1] => 0011111 => 0
[3,6,8,7,5,4,2,1] => 0011111 => 0
[3,7,6,8,5,4,2,1] => 0101111 => 1
[3,5,8,7,6,4,2,1] => 0011111 => 0
[3,5,7,8,6,4,2,1] => 0001111 => 0
[3,5,6,8,7,4,2,1] => 0001111 => 0
[3,7,6,5,8,4,2,1] => 0110111 => 1
[3,6,7,5,8,4,2,1] => 0010111 => 1
[3,5,7,6,8,4,2,1] => 0010111 => 1
[3,5,6,7,8,4,2,1] => 0000111 => 0
[4,3,8,7,6,5,2,1] => 1011111 => 1
[4,3,7,8,6,5,2,1] => 1001111 => 1
[4,3,6,7,8,5,2,1] => 1000111 => 1
[3,4,8,7,6,5,2,1] => 0011111 => 0
[3,4,6,7,8,5,2,1] => 0000111 => 0
[5,4,3,8,7,6,2,1] => 1101111 => 1
[5,4,3,7,8,6,2,1] => 1100111 => 1
[3,5,4,7,8,6,2,1] => 0100111 => 1
[3,4,5,8,7,6,2,1] => 0001111 => 0
[3,4,5,7,8,6,2,1] => 0000111 => 0
[6,5,4,3,8,7,2,1] => 1110111 => 1
[5,6,4,3,8,7,2,1] => 0110111 => 1
[4,5,6,3,8,7,2,1] => 0010111 => 1
[4,3,6,5,8,7,2,1] => 1010111 => 2
[5,4,3,6,8,7,2,1] => 1100111 => 1
[4,5,3,6,8,7,2,1] => 0100111 => 1
[3,4,5,6,8,7,2,1] => 0000111 => 0
[5,7,6,4,3,8,2,1] => 0111011 => 1
[4,7,6,5,3,8,2,1] => 0111011 => 1
[5,4,7,6,3,8,2,1] => 1011011 => 2
[3,7,6,5,4,8,2,1] => 0111011 => 1
[3,5,7,6,4,8,2,1] => 0011011 => 1
[3,5,6,7,4,8,2,1] => 0001011 => 1
[4,3,7,6,5,8,2,1] => 1011011 => 2
[3,4,7,6,5,8,2,1] => 0011011 => 1
[3,4,6,7,5,8,2,1] => 0001011 => 1
[4,5,3,7,6,8,2,1] => 0101011 => 2
[3,5,4,7,6,8,2,1] => 0101011 => 2
[4,3,5,7,6,8,2,1] => 1001011 => 2
[3,4,5,7,6,8,2,1] => 0001011 => 1
[3,6,5,4,7,8,2,1] => 0110011 => 1
[3,5,6,4,7,8,2,1] => 0010011 => 1
[4,3,6,5,7,8,2,1] => 1010011 => 2
[3,4,6,5,7,8,2,1] => 0010011 => 1
[3,5,4,6,7,8,2,1] => 0100011 => 1
[2,8,7,6,5,4,3,1] => 0111111 => 0
[2,7,8,6,5,4,3,1] => 0011111 => 0
[2,6,8,7,5,4,3,1] => 0011111 => 0
[2,7,6,8,5,4,3,1] => 0101111 => 1
[2,6,7,8,5,4,3,1] => 0001111 => 0
[2,5,8,7,6,4,3,1] => 0011111 => 0
[2,6,7,5,8,4,3,1] => 0010111 => 1
[2,6,5,7,8,4,3,1] => 0100111 => 1
[2,5,6,7,8,4,3,1] => 0000111 => 0
[2,4,8,7,6,5,3,1] => 0011111 => 0
[2,4,7,8,6,5,3,1] => 0001111 => 0
[2,4,6,8,7,5,3,1] => 0001111 => 0
[2,4,6,7,8,5,3,1] => 0000111 => 0
[2,5,4,8,7,6,3,1] => 0101111 => 1
[2,5,4,7,8,6,3,1] => 0100111 => 1
[2,4,5,7,8,6,3,1] => 0000111 => 0
[2,6,5,4,8,7,3,1] => 0110111 => 1
[2,5,6,4,8,7,3,1] => 0010111 => 1
[2,4,6,5,8,7,3,1] => 0010111 => 1
[2,4,5,6,8,7,3,1] => 0000111 => 0
[2,7,6,5,4,8,3,1] => 0111011 => 1
[2,6,7,5,4,8,3,1] => 0011011 => 1
[2,5,6,7,4,8,3,1] => 0001011 => 1
[2,4,7,6,5,8,3,1] => 0011011 => 1
[2,4,6,7,5,8,3,1] => 0001011 => 1
[2,5,4,7,6,8,3,1] => 0101011 => 2
[2,6,5,4,7,8,3,1] => 0110011 => 1
[2,5,6,4,7,8,3,1] => 0010011 => 1
[2,4,6,5,7,8,3,1] => 0010011 => 1
[2,5,4,6,7,8,3,1] => 0100011 => 1
[2,4,5,6,7,8,3,1] => 0000011 => 0
[3,2,8,7,6,5,4,1] => 1011111 => 1
[3,2,6,8,7,5,4,1] => 1001111 => 1
[3,2,5,7,8,6,4,1] => 1000111 => 1
[3,2,6,5,8,7,4,1] => 1010111 => 2
[3,2,5,7,6,8,4,1] => 1001011 => 2
[3,2,5,6,7,8,4,1] => 1000011 => 1
[2,3,8,7,6,5,4,1] => 0011111 => 0
[2,3,6,7,8,5,4,1] => 0000111 => 0
[2,3,5,7,8,6,4,1] => 0000111 => 0
[2,3,6,5,8,7,4,1] => 0010111 => 1
[2,3,5,6,8,7,4,1] => 0000111 => 0
[2,3,7,6,5,8,4,1] => 0011011 => 1
[2,3,5,7,6,8,4,1] => 0001011 => 1
[2,3,5,6,7,8,4,1] => 0000011 => 0
[4,3,2,8,7,6,5,1] => 1101111 => 1
[4,3,2,7,8,6,5,1] => 1100111 => 1
[3,4,2,8,7,6,5,1] => 0101111 => 1
[3,4,2,7,8,6,5,1] => 0100111 => 1
[2,4,3,8,7,6,5,1] => 0101111 => 1
[2,4,3,6,8,7,5,1] => 0100111 => 1
[2,4,3,6,7,8,5,1] => 0100011 => 1
[3,2,4,8,7,6,5,1] => 1001111 => 1
[3,2,4,7,8,6,5,1] => 1000111 => 1
[2,3,4,8,7,6,5,1] => 0001111 => 0
[2,3,4,7,8,6,5,1] => 0000111 => 0
[2,3,4,6,8,7,5,1] => 0000111 => 0
[2,3,4,7,6,8,5,1] => 0001011 => 1
[2,3,4,6,7,8,5,1] => 0000011 => 0
[5,4,3,2,8,7,6,1] => 1110111 => 1
[5,4,3,2,7,8,6,1] => 1110011 => 1
[3,5,4,2,7,8,6,1] => 0110011 => 1
[3,4,5,2,7,8,6,1] => 0010011 => 1
[2,5,4,3,8,7,6,1] => 0110111 => 1
[2,5,4,3,7,8,6,1] => 0110011 => 1
[2,4,5,3,8,7,6,1] => 0010111 => 1
[2,4,5,3,7,8,6,1] => 0010011 => 1
[3,2,5,4,7,8,6,1] => 1010011 => 2
[2,3,5,4,8,7,6,1] => 0010111 => 1
[2,3,5,4,7,8,6,1] => 0010011 => 1
[4,3,2,5,8,7,6,1] => 1100111 => 1
[4,3,2,5,7,8,6,1] => 1100011 => 1
[3,4,2,5,8,7,6,1] => 0100111 => 1
[3,4,2,5,7,8,6,1] => 0100011 => 1
[2,4,3,5,8,7,6,1] => 0100111 => 1
[3,2,4,5,7,8,6,1] => 1000011 => 1
[2,3,4,5,8,7,6,1] => 0000111 => 0
[2,3,4,5,7,8,6,1] => 0000011 => 0
[6,5,4,3,2,8,7,1] => 1111011 => 1
[4,6,5,3,2,8,7,1] => 0111011 => 1
[5,4,6,3,2,8,7,1] => 1011011 => 2
[4,5,6,3,2,8,7,1] => 0011011 => 1
[3,6,5,4,2,8,7,1] => 0111011 => 1
[3,5,6,4,2,8,7,1] => 0011011 => 1
[4,3,6,5,2,8,7,1] => 1011011 => 2
[5,4,3,6,2,8,7,1] => 1101011 => 2
[4,5,3,6,2,8,7,1] => 0101011 => 2
[3,5,4,6,2,8,7,1] => 0101011 => 2
[3,4,5,6,2,8,7,1] => 0001011 => 1
[2,6,5,4,3,8,7,1] => 0111011 => 1
[2,4,6,5,3,8,7,1] => 0011011 => 1
[2,4,5,6,3,8,7,1] => 0001011 => 1
[3,2,6,5,4,8,7,1] => 1011011 => 2
[2,3,5,6,4,8,7,1] => 0001011 => 1
[4,3,2,6,5,8,7,1] => 1101011 => 2
[2,4,3,6,5,8,7,1] => 0101011 => 2
[3,2,4,6,5,8,7,1] => 1001011 => 2
[2,3,4,6,5,8,7,1] => 0001011 => 1
[5,4,3,2,6,8,7,1] => 1110011 => 1
[4,5,3,2,6,8,7,1] => 0110011 => 1
[2,5,4,3,6,8,7,1] => 0110011 => 1
[2,4,5,3,6,8,7,1] => 0010011 => 1
[3,2,5,4,6,8,7,1] => 1010011 => 2
[4,3,2,5,6,8,7,1] => 1100011 => 1
[3,4,2,5,6,8,7,1] => 0100011 => 1
[2,4,3,5,6,8,7,1] => 0100011 => 1
[3,2,4,5,6,8,7,1] => 1000011 => 1
[2,3,4,5,6,8,7,1] => 0000011 => 0
[5,7,6,4,3,2,8,1] => 0111101 => 1
[4,7,6,5,3,2,8,1] => 0111101 => 1
[4,6,7,5,3,2,8,1] => 0011101 => 1
[4,6,5,7,3,2,8,1] => 0101101 => 2
[3,5,7,6,4,2,8,1] => 0011101 => 1
[3,5,6,7,4,2,8,1] => 0001101 => 1
[4,3,7,6,5,2,8,1] => 1011101 => 2
[4,3,6,7,5,2,8,1] => 1001101 => 2
[3,4,7,6,5,2,8,1] => 0011101 => 1
[3,4,6,7,5,2,8,1] => 0001101 => 1
[5,4,3,7,6,2,8,1] => 1101101 => 2
[4,5,3,7,6,2,8,1] => 0101101 => 2
[3,5,4,7,6,2,8,1] => 0101101 => 2
[3,4,5,7,6,2,8,1] => 0001101 => 1
[4,6,5,3,7,2,8,1] => 0110101 => 2
[3,6,5,4,7,2,8,1] => 0110101 => 2
[3,5,6,4,7,2,8,1] => 0010101 => 2
[4,3,6,5,7,2,8,1] => 1010101 => 3
[3,4,6,5,7,2,8,1] => 0010101 => 2
[3,5,4,6,7,2,8,1] => 0100101 => 2
[2,7,6,5,4,3,8,1] => 0111101 => 1
[2,6,5,7,4,3,8,1] => 0101101 => 2
[2,5,6,7,4,3,8,1] => 0001101 => 1
[2,4,6,7,5,3,8,1] => 0001101 => 1
[2,5,4,7,6,3,8,1] => 0101101 => 2
[2,4,6,5,7,3,8,1] => 0010101 => 2
[2,5,4,6,7,3,8,1] => 0100101 => 2
[2,4,5,6,7,3,8,1] => 0000101 => 1
[3,2,7,6,5,4,8,1] => 1011101 => 2
[3,2,6,7,5,4,8,1] => 1001101 => 2
[3,2,5,7,6,4,8,1] => 1001101 => 2
[3,2,6,5,7,4,8,1] => 1010101 => 3
[3,2,5,6,7,4,8,1] => 1000101 => 2
[2,3,7,6,5,4,8,1] => 0011101 => 1
[2,3,5,7,6,4,8,1] => 0001101 => 1
[2,3,5,6,7,4,8,1] => 0000101 => 1
[4,3,2,7,6,5,8,1] => 1101101 => 2
[4,3,2,6,7,5,8,1] => 1100101 => 2
[3,4,2,7,6,5,8,1] => 0101101 => 2
[3,4,2,6,7,5,8,1] => 0100101 => 2
[2,4,3,7,6,5,8,1] => 0101101 => 2
[2,4,3,6,7,5,8,1] => 0100101 => 2
[3,2,4,7,6,5,8,1] => 1001101 => 2
[2,3,4,7,6,5,8,1] => 0001101 => 1
[2,3,4,6,7,5,8,1] => 0000101 => 1
[5,4,3,2,7,6,8,1] => 1110101 => 2
[3,5,4,2,7,6,8,1] => 0110101 => 2
[4,3,5,2,7,6,8,1] => 1010101 => 3
[3,4,5,2,7,6,8,1] => 0010101 => 2
[2,5,4,3,7,6,8,1] => 0110101 => 2
[3,2,5,4,7,6,8,1] => 1010101 => 3
[2,3,5,4,7,6,8,1] => 0010101 => 2
[4,3,2,5,7,6,8,1] => 1100101 => 2
[3,4,2,5,7,6,8,1] => 0100101 => 2
[2,4,3,5,7,6,8,1] => 0100101 => 2
[3,2,4,5,7,6,8,1] => 1000101 => 2
[2,3,4,5,7,6,8,1] => 0000101 => 1
[3,6,5,4,2,7,8,1] => 0111001 => 1
[3,5,6,4,2,7,8,1] => 0011001 => 1
[3,4,6,5,2,7,8,1] => 0011001 => 1
[3,5,4,6,2,7,8,1] => 0101001 => 2
[2,6,5,4,3,7,8,1] => 0111001 => 1
[2,5,6,4,3,7,8,1] => 0011001 => 1
[2,4,6,5,3,7,8,1] => 0011001 => 1
[2,5,4,6,3,7,8,1] => 0101001 => 2
[2,4,5,6,3,7,8,1] => 0001001 => 1
[3,2,5,6,4,7,8,1] => 1001001 => 2
[2,3,6,5,4,7,8,1] => 0011001 => 1
[2,3,5,6,4,7,8,1] => 0001001 => 1
[4,3,2,6,5,7,8,1] => 1101001 => 2
[3,4,2,6,5,7,8,1] => 0101001 => 2
[2,4,3,6,5,7,8,1] => 0101001 => 2
[2,3,4,6,5,7,8,1] => 0001001 => 1
[3,5,4,2,6,7,8,1] => 0110001 => 1
[2,5,4,3,6,7,8,1] => 0110001 => 1
[2,4,5,3,6,7,8,1] => 0010001 => 1
[3,2,5,4,6,7,8,1] => 1010001 => 2
[2,3,5,4,6,7,8,1] => 0010001 => 1
[2,4,3,5,6,7,8,1] => 0100001 => 1
[1,8,7,6,5,4,3,2] => 0111111 => 0
[1,7,8,6,5,4,3,2] => 0011111 => 0
[1,6,8,7,5,4,3,2] => 0011111 => 0
[1,7,6,8,5,4,3,2] => 0101111 => 1
[1,6,7,8,5,4,3,2] => 0001111 => 0
[1,5,8,7,6,4,3,2] => 0011111 => 0
[1,6,5,8,7,4,3,2] => 0101111 => 1
[1,7,6,5,8,4,3,2] => 0110111 => 1
[1,6,7,5,8,4,3,2] => 0010111 => 1
[1,5,7,6,8,4,3,2] => 0010111 => 1
[1,6,5,7,8,4,3,2] => 0100111 => 1
[1,5,6,7,8,4,3,2] => 0000111 => 0
[1,4,8,7,6,5,3,2] => 0011111 => 0
[1,4,7,8,6,5,3,2] => 0001111 => 0
[1,4,6,8,7,5,3,2] => 0001111 => 0
[1,4,6,7,8,5,3,2] => 0000111 => 0
[1,5,4,7,8,6,3,2] => 0100111 => 1
[1,4,5,8,7,6,3,2] => 0001111 => 0
[1,4,5,7,8,6,3,2] => 0000111 => 0
[1,6,5,4,8,7,3,2] => 0110111 => 1
[1,4,6,5,8,7,3,2] => 0010111 => 1
[1,7,6,5,4,8,3,2] => 0111011 => 1
[1,4,7,6,5,8,3,2] => 0011011 => 1
[1,4,6,7,5,8,3,2] => 0001011 => 1
[1,6,5,4,7,8,3,2] => 0110011 => 1
[1,5,6,4,7,8,3,2] => 0010011 => 1
[1,5,4,6,7,8,3,2] => 0100011 => 1
[1,4,5,6,7,8,3,2] => 0000011 => 0
[1,3,8,7,6,5,4,2] => 0011111 => 0
[1,3,7,8,6,5,4,2] => 0001111 => 0
[1,3,6,8,7,5,4,2] => 0001111 => 0
[1,3,6,7,8,5,4,2] => 0000111 => 0
[1,3,5,8,7,6,4,2] => 0001111 => 0
[1,3,5,7,8,6,4,2] => 0000111 => 0
[1,3,5,6,8,7,4,2] => 0000111 => 0
[1,3,6,7,5,8,4,2] => 0001011 => 1
[1,3,5,7,6,8,4,2] => 0001011 => 1
[1,3,6,5,7,8,4,2] => 0010011 => 1
[1,3,5,6,7,8,4,2] => 0000011 => 0
[1,4,3,8,7,6,5,2] => 0101111 => 1
[1,4,3,7,8,6,5,2] => 0100111 => 1
[1,4,3,6,8,7,5,2] => 0100111 => 1
[1,4,3,7,6,8,5,2] => 0101011 => 2
[1,4,3,6,7,8,5,2] => 0100011 => 1
[1,3,4,8,7,6,5,2] => 0001111 => 0
[1,3,4,7,6,8,5,2] => 0001011 => 1
[1,3,4,6,7,8,5,2] => 0000011 => 0
[1,5,4,3,8,7,6,2] => 0110111 => 1
[1,4,5,3,8,7,6,2] => 0010111 => 1
[1,4,5,3,7,8,6,2] => 0010011 => 1
[1,3,5,4,8,7,6,2] => 0010111 => 1
[1,3,5,4,7,8,6,2] => 0010011 => 1
[1,4,3,5,8,7,6,2] => 0100111 => 1
[1,4,3,5,7,8,6,2] => 0100011 => 1
[1,3,4,5,8,7,6,2] => 0000111 => 0
[1,3,4,5,7,8,6,2] => 0000011 => 0
[1,6,5,4,3,8,7,2] => 0111011 => 1
[1,5,6,4,3,8,7,2] => 0011011 => 1
[1,4,6,5,3,8,7,2] => 0011011 => 1
[1,4,5,6,3,8,7,2] => 0001011 => 1
[1,3,6,5,4,8,7,2] => 0011011 => 1
[1,4,3,6,5,8,7,2] => 0101011 => 2
[1,5,4,3,6,8,7,2] => 0110011 => 1
[1,4,5,3,6,8,7,2] => 0010011 => 1
[1,3,4,5,6,8,7,2] => 0000011 => 0
[1,7,6,5,4,3,8,2] => 0111101 => 1
[1,6,7,5,4,3,8,2] => 0011101 => 1
[1,6,5,7,4,3,8,2] => 0101101 => 2
[1,4,6,7,5,3,8,2] => 0001101 => 1
[1,5,6,4,7,3,8,2] => 0010101 => 2
[1,4,6,5,7,3,8,2] => 0010101 => 2
[1,5,4,6,7,3,8,2] => 0100101 => 2
[1,4,5,6,7,3,8,2] => 0000101 => 1
[1,3,5,7,6,4,8,2] => 0001101 => 1
[1,3,6,5,7,4,8,2] => 0010101 => 2
[1,3,5,6,7,4,8,2] => 0000101 => 1
[1,4,3,6,7,5,8,2] => 0100101 => 2
[1,3,4,7,6,5,8,2] => 0001101 => 1
[1,3,4,6,7,5,8,2] => 0000101 => 1
[1,3,5,4,7,6,8,2] => 0010101 => 2
[1,3,4,5,7,6,8,2] => 0000101 => 1
[1,6,5,4,3,7,8,2] => 0111001 => 1
[1,5,4,6,3,7,8,2] => 0101001 => 2
[1,3,5,6,4,7,8,2] => 0001001 => 1
[1,4,3,6,5,7,8,2] => 0101001 => 2
[1,3,4,6,5,7,8,2] => 0001001 => 1
[1,5,4,3,6,7,8,2] => 0110001 => 1
[1,4,5,3,6,7,8,2] => 0010001 => 1
[1,3,5,4,6,7,8,2] => 0010001 => 1
[1,4,3,5,6,7,8,2] => 0100001 => 1
[1,3,4,5,6,7,8,2] => 0000001 => 0
[2,1,8,7,6,5,4,3] => 1011111 => 1
[2,1,7,8,6,5,4,3] => 1001111 => 1
[2,1,6,8,7,5,4,3] => 1001111 => 1
[2,1,7,6,8,5,4,3] => 1010111 => 2
[2,1,6,7,8,5,4,3] => 1000111 => 1
[2,1,5,8,7,6,4,3] => 1001111 => 1
[2,1,5,7,8,6,4,3] => 1000111 => 1
[2,1,6,5,8,7,4,3] => 1010111 => 2
[2,1,5,6,8,7,4,3] => 1000111 => 1
[2,1,7,6,5,8,4,3] => 1011011 => 2
[2,1,6,7,5,8,4,3] => 1001011 => 2
[2,1,5,7,6,8,4,3] => 1001011 => 2
[2,1,6,5,7,8,4,3] => 1010011 => 2
[2,1,5,6,7,8,4,3] => 1000011 => 1
[2,1,4,8,7,6,5,3] => 1001111 => 1
[2,1,4,7,8,6,5,3] => 1000111 => 1
[2,1,4,6,8,7,5,3] => 1000111 => 1
[2,1,4,7,6,8,5,3] => 1001011 => 2
[2,1,4,6,7,8,5,3] => 1000011 => 1
[2,1,5,4,8,7,6,3] => 1010111 => 2
[2,1,5,4,7,8,6,3] => 1010011 => 2
[2,1,4,5,8,7,6,3] => 1000111 => 1
[2,1,4,5,7,8,6,3] => 1000011 => 1
[2,1,6,5,4,8,7,3] => 1011011 => 2
[2,1,5,6,4,8,7,3] => 1001011 => 2
[2,1,4,6,5,8,7,3] => 1001011 => 2
[2,1,5,4,6,8,7,3] => 1010011 => 2
[2,1,4,5,6,8,7,3] => 1000011 => 1
[2,1,7,6,5,4,8,3] => 1011101 => 2
[2,1,6,7,5,4,8,3] => 1001101 => 2
[2,1,5,7,6,4,8,3] => 1001101 => 2
[2,1,6,5,7,4,8,3] => 1010101 => 3
[2,1,5,6,7,4,8,3] => 1000101 => 2
[2,1,4,7,6,5,8,3] => 1001101 => 2
[2,1,4,6,7,5,8,3] => 1000101 => 2
[2,1,5,4,7,6,8,3] => 1010101 => 3
[2,1,5,6,4,7,8,3] => 1001001 => 2
[2,1,5,4,6,7,8,3] => 1010001 => 2
[2,1,4,5,6,7,8,3] => 1000001 => 1
[1,2,8,7,6,5,4,3] => 0011111 => 0
[1,2,7,8,6,5,4,3] => 0001111 => 0
[1,2,7,6,8,5,4,3] => 0010111 => 1
[1,2,6,7,8,5,4,3] => 0000111 => 0
[1,2,5,8,7,6,4,3] => 0001111 => 0
[1,2,6,5,8,7,4,3] => 0010111 => 1
[1,2,5,6,8,7,4,3] => 0000111 => 0
[1,2,7,6,5,8,4,3] => 0011011 => 1
[1,2,5,7,6,8,4,3] => 0001011 => 1
[1,2,6,5,7,8,4,3] => 0010011 => 1
[1,2,5,6,7,8,4,3] => 0000011 => 0
[1,2,4,8,7,6,5,3] => 0001111 => 0
[1,2,4,7,8,6,5,3] => 0000111 => 0
[1,2,4,6,8,7,5,3] => 0000111 => 0
[1,2,4,7,6,8,5,3] => 0001011 => 1
[1,2,4,6,7,8,5,3] => 0000011 => 0
[1,2,5,4,8,7,6,3] => 0010111 => 1
[1,2,4,5,8,7,6,3] => 0000111 => 0
[1,2,4,5,7,8,6,3] => 0000011 => 0
[1,2,6,5,4,8,7,3] => 0011011 => 1
[1,2,5,4,6,8,7,3] => 0010011 => 1
[1,2,4,5,6,8,7,3] => 0000011 => 0
[1,2,7,6,5,4,8,3] => 0011101 => 1
[1,2,5,7,6,4,8,3] => 0001101 => 1
[1,2,5,6,7,4,8,3] => 0000101 => 1
[1,2,4,7,6,5,8,3] => 0001101 => 1
[1,2,5,4,7,6,8,3] => 0010101 => 2
[1,2,6,5,4,7,8,3] => 0011001 => 1
[1,2,5,6,4,7,8,3] => 0001001 => 1
[1,2,4,6,5,7,8,3] => 0001001 => 1
[1,2,5,4,6,7,8,3] => 0010001 => 1
[1,2,4,5,6,7,8,3] => 0000001 => 0
[3,2,1,8,7,6,5,4] => 1101111 => 1
[3,2,1,7,8,6,5,4] => 1100111 => 1
[3,2,1,6,8,7,5,4] => 1100111 => 1
[3,2,1,7,6,8,5,4] => 1101011 => 2
[3,2,1,6,7,8,5,4] => 1100011 => 1
[3,2,1,5,8,7,6,4] => 1100111 => 1
[3,2,1,5,7,8,6,4] => 1100011 => 1
[3,2,1,6,5,8,7,4] => 1101011 => 2
[3,2,1,5,6,8,7,4] => 1100011 => 1
[3,2,1,7,6,5,8,4] => 1101101 => 2
[3,2,1,6,7,5,8,4] => 1100101 => 2
[3,2,1,5,7,6,8,4] => 1100101 => 2
[3,2,1,6,5,7,8,4] => 1101001 => 2
[3,2,1,5,6,7,8,4] => 1100001 => 1
[2,3,1,8,7,6,5,4] => 0101111 => 1
[2,3,1,7,8,6,5,4] => 0100111 => 1
[2,3,1,6,8,7,5,4] => 0100111 => 1
[2,3,1,7,6,8,5,4] => 0101011 => 2
[2,3,1,6,7,8,5,4] => 0100011 => 1
[2,3,1,5,7,8,6,4] => 0100011 => 1
[2,3,1,6,5,8,7,4] => 0101011 => 2
[2,3,1,7,6,5,8,4] => 0101101 => 2
[2,3,1,6,7,5,8,4] => 0100101 => 2
[2,3,1,5,7,6,8,4] => 0100101 => 2
[2,3,1,5,6,7,8,4] => 0100001 => 1
[1,3,2,8,7,6,5,4] => 0101111 => 1
[1,3,2,6,8,7,5,4] => 0100111 => 1
[1,3,2,7,6,8,5,4] => 0101011 => 2
[1,3,2,6,7,8,5,4] => 0100011 => 1
[1,3,2,5,8,7,6,4] => 0100111 => 1
[1,3,2,5,7,8,6,4] => 0100011 => 1
[1,3,2,6,5,8,7,4] => 0101011 => 2
[1,3,2,5,6,8,7,4] => 0100011 => 1
[1,3,2,7,6,5,8,4] => 0101101 => 2
[1,3,2,6,7,5,8,4] => 0100101 => 2
[1,3,2,5,7,6,8,4] => 0100101 => 2
[1,3,2,6,5,7,8,4] => 0101001 => 2
[1,3,2,5,6,7,8,4] => 0100001 => 1
[2,1,3,8,7,6,5,4] => 1001111 => 1
[2,1,3,7,8,6,5,4] => 1000111 => 1
[2,1,3,6,8,7,5,4] => 1000111 => 1
[2,1,3,6,7,8,5,4] => 1000011 => 1
[2,1,3,6,5,8,7,4] => 1001011 => 2
[2,1,3,5,7,6,8,4] => 1000101 => 2
[2,1,3,5,6,7,8,4] => 1000001 => 1
[1,2,3,8,7,6,5,4] => 0001111 => 0
[1,2,3,7,8,6,5,4] => 0000111 => 0
[1,2,3,6,8,7,5,4] => 0000111 => 0
[1,2,3,7,6,8,5,4] => 0001011 => 1
[1,2,3,6,7,8,5,4] => 0000011 => 0
[1,2,3,5,8,7,6,4] => 0000111 => 0
[1,2,3,5,7,8,6,4] => 0000011 => 0
[1,2,3,6,5,8,7,4] => 0001011 => 1
[1,2,3,5,6,8,7,4] => 0000011 => 0
[1,2,3,7,6,5,8,4] => 0001101 => 1
[1,2,3,6,7,5,8,4] => 0000101 => 1
[1,2,3,5,7,6,8,4] => 0000101 => 1
[1,2,3,6,5,7,8,4] => 0001001 => 1
[1,2,3,5,6,7,8,4] => 0000001 => 0
[4,3,2,1,8,7,6,5] => 1110111 => 1
[4,3,2,1,7,8,6,5] => 1110011 => 1
[4,3,2,1,6,8,7,5] => 1110011 => 1
[4,3,2,1,7,6,8,5] => 1110101 => 2
[4,3,2,1,6,7,8,5] => 1110001 => 1
[3,4,2,1,8,7,6,5] => 0110111 => 1
[3,4,2,1,7,8,6,5] => 0110011 => 1
[3,4,2,1,6,8,7,5] => 0110011 => 1
[3,4,2,1,7,6,8,5] => 0110101 => 2
[3,4,2,1,6,7,8,5] => 0110001 => 1
[2,4,3,1,8,7,6,5] => 0110111 => 1
[2,4,3,1,7,8,6,5] => 0110011 => 1
[2,4,3,1,6,8,7,5] => 0110011 => 1
[2,4,3,1,7,6,8,5] => 0110101 => 2
[2,4,3,1,6,7,8,5] => 0110001 => 1
[3,2,4,1,8,7,6,5] => 1010111 => 2
[3,2,4,1,7,8,6,5] => 1010011 => 2
[3,2,4,1,6,8,7,5] => 1010011 => 2
[3,2,4,1,7,6,8,5] => 1010101 => 3
[3,2,4,1,6,7,8,5] => 1010001 => 2
[2,3,4,1,8,7,6,5] => 0010111 => 1
[2,3,4,1,7,8,6,5] => 0010011 => 1
[2,3,4,1,6,8,7,5] => 0010011 => 1
[2,3,4,1,7,6,8,5] => 0010101 => 2
[2,3,4,1,6,7,8,5] => 0010001 => 1
[1,4,3,2,8,7,6,5] => 0110111 => 1
[1,4,3,2,6,8,7,5] => 0110011 => 1
[1,4,3,2,7,6,8,5] => 0110101 => 2
[1,4,3,2,6,7,8,5] => 0110001 => 1
[1,3,4,2,8,7,6,5] => 0010111 => 1
[1,3,4,2,7,8,6,5] => 0010011 => 1
[1,3,4,2,6,8,7,5] => 0010011 => 1
[1,3,4,2,7,6,8,5] => 0010101 => 2
[1,3,4,2,6,7,8,5] => 0010001 => 1
[2,1,4,3,8,7,6,5] => 1010111 => 2
[2,1,4,3,7,8,6,5] => 1010011 => 2
[2,1,4,3,6,8,7,5] => 1010011 => 2
[2,1,4,3,7,6,8,5] => 1010101 => 3
[2,1,4,3,6,7,8,5] => 1010001 => 2
[1,2,4,3,8,7,6,5] => 0010111 => 1
[1,2,4,3,7,8,6,5] => 0010011 => 1
[1,2,4,3,6,8,7,5] => 0010011 => 1
[1,2,4,3,7,6,8,5] => 0010101 => 2
[1,2,4,3,6,7,8,5] => 0010001 => 1
[3,2,1,4,8,7,6,5] => 1100111 => 1
[3,2,1,4,7,8,6,5] => 1100011 => 1
[3,2,1,4,6,8,7,5] => 1100011 => 1
[3,2,1,4,7,6,8,5] => 1100101 => 2
[3,2,1,4,6,7,8,5] => 1100001 => 1
[2,3,1,4,8,7,6,5] => 0100111 => 1
[2,3,1,4,7,8,6,5] => 0100011 => 1
[2,3,1,4,7,6,8,5] => 0100101 => 2
[2,3,1,4,6,7,8,5] => 0100001 => 1
[1,3,2,4,8,7,6,5] => 0100111 => 1
[1,3,2,4,6,8,7,5] => 0100011 => 1
[1,3,2,4,7,6,8,5] => 0100101 => 2
[1,3,2,4,6,7,8,5] => 0100001 => 1
[2,1,3,4,8,7,6,5] => 1000111 => 1
[2,1,3,4,7,8,6,5] => 1000011 => 1
[2,1,3,4,7,6,8,5] => 1000101 => 2
[2,1,3,4,6,7,8,5] => 1000001 => 1
[1,2,3,4,8,7,6,5] => 0000111 => 0
[1,2,3,4,7,8,6,5] => 0000011 => 0
[1,2,3,4,6,8,7,5] => 0000011 => 0
[1,2,3,4,7,6,8,5] => 0000101 => 1
[1,2,3,4,6,7,8,5] => 0000001 => 0
[5,4,3,2,1,8,7,6] => 1111011 => 1
[5,4,3,2,1,7,8,6] => 1111001 => 1
[4,5,3,2,1,8,7,6] => 0111011 => 1
[3,5,4,2,1,8,7,6] => 0111011 => 1
[3,5,4,2,1,7,8,6] => 0111001 => 1
[4,3,5,2,1,8,7,6] => 1011011 => 2
[3,4,5,2,1,8,7,6] => 0011011 => 1
[3,4,5,2,1,7,8,6] => 0011001 => 1
[2,5,4,3,1,8,7,6] => 0111011 => 1
[2,5,4,3,1,7,8,6] => 0111001 => 1
[2,4,5,3,1,8,7,6] => 0011011 => 1
[2,4,5,3,1,7,8,6] => 0011001 => 1
[3,2,5,4,1,8,7,6] => 1011011 => 2
[3,2,5,4,1,7,8,6] => 1011001 => 2
[2,3,5,4,1,8,7,6] => 0011011 => 1
[4,3,2,5,1,8,7,6] => 1101011 => 2
[4,3,2,5,1,7,8,6] => 1101001 => 2
[3,4,2,5,1,8,7,6] => 0101011 => 2
[3,4,2,5,1,7,8,6] => 0101001 => 2
[2,4,3,5,1,8,7,6] => 0101011 => 2
[2,4,3,5,1,7,8,6] => 0101001 => 2
[3,2,4,5,1,8,7,6] => 1001011 => 2
[2,3,4,5,1,8,7,6] => 0001011 => 1
[2,3,4,5,1,7,8,6] => 0001001 => 1
[1,5,4,3,2,8,7,6] => 0111011 => 1
[1,5,4,3,2,7,8,6] => 0111001 => 1
[1,4,5,3,2,8,7,6] => 0011011 => 1
[1,4,5,3,2,7,8,6] => 0011001 => 1
[1,3,5,4,2,7,8,6] => 0011001 => 1
[1,4,3,5,2,8,7,6] => 0101011 => 2
[1,4,3,5,2,7,8,6] => 0101001 => 2
[1,3,4,5,2,8,7,6] => 0001011 => 1
[1,3,4,5,2,7,8,6] => 0001001 => 1
[2,1,5,4,3,8,7,6] => 1011011 => 2
[2,1,4,5,3,8,7,6] => 1001011 => 2
[1,2,5,4,3,8,7,6] => 0011011 => 1
[1,2,5,4,3,7,8,6] => 0011001 => 1
[1,2,4,5,3,8,7,6] => 0001011 => 1
[1,2,4,5,3,7,8,6] => 0001001 => 1
[1,3,2,5,4,8,7,6] => 0101011 => 2
[1,3,2,5,4,7,8,6] => 0101001 => 2
[2,1,3,5,4,8,7,6] => 1001011 => 2
[2,1,3,5,4,7,8,6] => 1001001 => 2
[1,2,3,5,4,8,7,6] => 0001011 => 1
[1,2,3,5,4,7,8,6] => 0001001 => 1
[4,3,2,1,5,8,7,6] => 1110011 => 1
[4,3,2,1,5,7,8,6] => 1110001 => 1
[2,4,3,1,5,8,7,6] => 0110011 => 1
[3,2,4,1,5,8,7,6] => 1010011 => 2
[3,2,4,1,5,7,8,6] => 1010001 => 2
[2,3,4,1,5,8,7,6] => 0010011 => 1
[2,3,4,1,5,7,8,6] => 0010001 => 1
[1,4,3,2,5,8,7,6] => 0110011 => 1
[1,4,3,2,5,7,8,6] => 0110001 => 1
[1,3,4,2,5,8,7,6] => 0010011 => 1
[1,3,4,2,5,7,8,6] => 0010001 => 1
[2,1,4,3,5,8,7,6] => 1010011 => 2
[2,1,4,3,5,7,8,6] => 1010001 => 2
[1,2,4,3,5,8,7,6] => 0010011 => 1
[1,2,4,3,5,7,8,6] => 0010001 => 1
[3,2,1,4,5,8,7,6] => 1100011 => 1
[3,2,1,4,5,7,8,6] => 1100001 => 1
[2,3,1,4,5,7,8,6] => 0100001 => 1
[1,3,2,4,5,8,7,6] => 0100011 => 1
[1,3,2,4,5,7,8,6] => 0100001 => 1
[2,1,3,4,5,8,7,6] => 1000011 => 1
[2,1,3,4,5,7,8,6] => 1000001 => 1
[1,2,3,4,5,8,7,6] => 0000011 => 0
[1,2,3,4,5,7,8,6] => 0000001 => 0
[6,5,4,3,2,1,8,7] => 1111101 => 1
[5,6,4,3,2,1,8,7] => 0111101 => 1
[4,6,5,3,2,1,8,7] => 0111101 => 1
[5,4,6,3,2,1,8,7] => 1011101 => 2
[4,5,6,3,2,1,8,7] => 0011101 => 1
[3,6,5,4,2,1,8,7] => 0111101 => 1
[3,5,6,4,2,1,8,7] => 0011101 => 1
[4,3,6,5,2,1,8,7] => 1011101 => 2
[3,4,6,5,2,1,8,7] => 0011101 => 1
[5,4,3,6,2,1,8,7] => 1101101 => 2
[4,5,3,6,2,1,8,7] => 0101101 => 2
[4,3,5,6,2,1,8,7] => 1001101 => 2
[3,4,5,6,2,1,8,7] => 0001101 => 1
[2,6,5,4,3,1,8,7] => 0111101 => 1
[2,5,6,4,3,1,8,7] => 0011101 => 1
[2,4,6,5,3,1,8,7] => 0011101 => 1
[3,2,6,5,4,1,8,7] => 1011101 => 2
[3,2,5,6,4,1,8,7] => 1001101 => 2
[2,3,6,5,4,1,8,7] => 0011101 => 1
[2,3,5,6,4,1,8,7] => 0001101 => 1
[4,3,2,6,5,1,8,7] => 1101101 => 2
[3,4,2,6,5,1,8,7] => 0101101 => 2
[2,4,3,6,5,1,8,7] => 0101101 => 2
[5,4,3,2,6,1,8,7] => 1110101 => 2
[4,5,3,2,6,1,8,7] => 0110101 => 2
[3,5,4,2,6,1,8,7] => 0110101 => 2
[4,3,5,2,6,1,8,7] => 1010101 => 3
[3,4,5,2,6,1,8,7] => 0010101 => 2
[2,5,4,3,6,1,8,7] => 0110101 => 2
[2,4,5,3,6,1,8,7] => 0010101 => 2
[3,2,5,4,6,1,8,7] => 1010101 => 3
[4,3,2,5,6,1,8,7] => 1100101 => 2
[3,4,2,5,6,1,8,7] => 0100101 => 2
[2,4,3,5,6,1,8,7] => 0100101 => 2
[2,3,4,5,6,1,8,7] => 0000101 => 1
[1,6,5,4,3,2,8,7] => 0111101 => 1
[1,5,6,4,3,2,8,7] => 0011101 => 1
[1,5,4,6,3,2,8,7] => 0101101 => 2
[1,3,6,5,4,2,8,7] => 0011101 => 1
[1,3,4,5,6,2,8,7] => 0000101 => 1
[2,1,6,5,4,3,8,7] => 1011101 => 2
[2,1,5,6,4,3,8,7] => 1001101 => 2
[2,1,4,6,5,3,8,7] => 1001101 => 2
[2,1,5,4,6,3,8,7] => 1010101 => 3
[2,1,4,5,6,3,8,7] => 1000101 => 2
[1,2,4,5,6,3,8,7] => 0000101 => 1
[3,2,1,6,5,4,8,7] => 1101101 => 2
[2,3,1,6,5,4,8,7] => 0101101 => 2
[1,3,2,6,5,4,8,7] => 0101101 => 2
[1,3,2,5,6,4,8,7] => 0100101 => 2
[2,1,3,5,6,4,8,7] => 1000101 => 2
[1,2,3,6,5,4,8,7] => 0001101 => 1
[1,2,3,5,6,4,8,7] => 0000101 => 1
[4,3,2,1,6,5,8,7] => 1110101 => 2
[3,4,2,1,6,5,8,7] => 0110101 => 2
[2,4,3,1,6,5,8,7] => 0110101 => 2
[3,2,4,1,6,5,8,7] => 1010101 => 3
[2,3,4,1,6,5,8,7] => 0010101 => 2
[1,3,4,2,6,5,8,7] => 0010101 => 2
[2,1,4,3,6,5,8,7] => 1010101 => 3
[1,2,4,3,6,5,8,7] => 0010101 => 2
[2,3,1,4,6,5,8,7] => 0100101 => 2
[1,3,2,4,6,5,8,7] => 0100101 => 2
[2,1,3,4,6,5,8,7] => 1000101 => 2
[1,2,3,4,6,5,8,7] => 0000101 => 1
[5,4,3,2,1,6,8,7] => 1111001 => 1
[4,5,3,2,1,6,8,7] => 0111001 => 1
[3,5,4,2,1,6,8,7] => 0111001 => 1
[4,3,5,2,1,6,8,7] => 1011001 => 2
[3,4,5,2,1,6,8,7] => 0011001 => 1
[2,5,4,3,1,6,8,7] => 0111001 => 1
[2,4,5,3,1,6,8,7] => 0011001 => 1
[3,2,5,4,1,6,8,7] => 1011001 => 2
[2,3,5,4,1,6,8,7] => 0011001 => 1
[2,4,3,5,1,6,8,7] => 0101001 => 2
[2,3,4,5,1,6,8,7] => 0001001 => 1
[1,4,5,3,2,6,8,7] => 0011001 => 1
[1,3,5,4,2,6,8,7] => 0011001 => 1
[1,3,4,5,2,6,8,7] => 0001001 => 1
[2,1,4,5,3,6,8,7] => 1001001 => 2
[1,2,5,4,3,6,8,7] => 0011001 => 1
[2,1,3,5,4,6,8,7] => 1001001 => 2
[1,2,3,5,4,6,8,7] => 0001001 => 1
[4,3,2,1,5,6,8,7] => 1110001 => 1
[3,2,4,1,5,6,8,7] => 1010001 => 2
[2,3,4,1,5,6,8,7] => 0010001 => 1
[1,4,3,2,5,6,8,7] => 0110001 => 1
[1,3,4,2,5,6,8,7] => 0010001 => 1
[2,1,4,3,5,6,8,7] => 1010001 => 2
[1,2,4,3,5,6,8,7] => 0010001 => 1
[3,2,1,4,5,6,8,7] => 1100001 => 1
[2,3,1,4,5,6,8,7] => 0100001 => 1
[1,3,2,4,5,6,8,7] => 0100001 => 1
[2,1,3,4,5,6,8,7] => 1000001 => 1
[1,2,3,4,5,6,8,7] => 0000001 => 0
[5,7,6,4,3,2,1,8] => 0111110 => 1
[4,7,6,5,3,2,1,8] => 0111110 => 1
[4,6,7,5,3,2,1,8] => 0011110 => 1
[5,4,7,6,3,2,1,8] => 1011110 => 2
[4,5,7,6,3,2,1,8] => 0011110 => 1
[4,6,5,7,3,2,1,8] => 0101110 => 2
[3,5,7,6,4,2,1,8] => 0011110 => 1
[3,5,6,7,4,2,1,8] => 0001110 => 1
[4,3,7,6,5,2,1,8] => 1011110 => 2
[3,4,7,6,5,2,1,8] => 0011110 => 1
[5,4,3,7,6,2,1,8] => 1101110 => 2
[4,5,3,7,6,2,1,8] => 0101110 => 2
[3,5,4,7,6,2,1,8] => 0101110 => 2
[4,3,5,7,6,2,1,8] => 1001110 => 2
[3,6,5,4,7,2,1,8] => 0110110 => 2
[3,5,6,4,7,2,1,8] => 0010110 => 2
[4,3,6,5,7,2,1,8] => 1010110 => 3
[2,7,6,5,4,3,1,8] => 0111110 => 1
[2,6,7,5,4,3,1,8] => 0011110 => 1
[2,5,7,6,4,3,1,8] => 0011110 => 1
[2,5,6,7,4,3,1,8] => 0001110 => 1
[2,4,6,7,5,3,1,8] => 0001110 => 1
[2,5,4,7,6,3,1,8] => 0101110 => 2
[2,5,6,4,7,3,1,8] => 0010110 => 2
[2,5,4,6,7,3,1,8] => 0100110 => 2
[2,4,5,6,7,3,1,8] => 0000110 => 1
[3,2,7,6,5,4,1,8] => 1011110 => 2
[3,2,6,7,5,4,1,8] => 1001110 => 2
[3,2,5,7,6,4,1,8] => 1001110 => 2
[3,2,6,5,7,4,1,8] => 1010110 => 3
[3,2,5,6,7,4,1,8] => 1000110 => 2
[2,3,7,6,5,4,1,8] => 0011110 => 1
[2,3,6,7,5,4,1,8] => 0001110 => 1
[2,3,5,7,6,4,1,8] => 0001110 => 1
[2,3,6,5,7,4,1,8] => 0010110 => 2
[2,3,5,6,7,4,1,8] => 0000110 => 1
[4,3,2,6,7,5,1,8] => 1100110 => 2
[3,4,2,7,6,5,1,8] => 0101110 => 2
[3,4,2,6,7,5,1,8] => 0100110 => 2
[3,2,4,6,7,5,1,8] => 1000110 => 2
[2,3,4,7,6,5,1,8] => 0001110 => 1
[2,3,4,6,7,5,1,8] => 0000110 => 1
[5,4,3,2,7,6,1,8] => 1110110 => 2
[4,5,3,2,7,6,1,8] => 0110110 => 2
[3,5,4,2,7,6,1,8] => 0110110 => 2
[4,3,5,2,7,6,1,8] => 1010110 => 3
[3,4,5,2,7,6,1,8] => 0010110 => 2
[3,2,5,4,7,6,1,8] => 1010110 => 3
[4,3,2,5,7,6,1,8] => 1100110 => 2
[3,4,2,5,7,6,1,8] => 0100110 => 2
[2,3,4,5,7,6,1,8] => 0000110 => 1
[3,6,5,4,2,7,1,8] => 0111010 => 2
[3,5,6,4,2,7,1,8] => 0011010 => 2
[3,4,6,5,2,7,1,8] => 0011010 => 2
[3,5,4,6,2,7,1,8] => 0101010 => 3
[2,5,4,6,3,7,1,8] => 0101010 => 3
[3,2,6,5,4,7,1,8] => 1011010 => 3
[2,3,5,6,4,7,1,8] => 0001010 => 2
[4,3,2,6,5,7,1,8] => 1101010 => 3
[3,4,2,6,5,7,1,8] => 0101010 => 3
[2,4,3,6,5,7,1,8] => 0101010 => 3
[2,3,4,6,5,7,1,8] => 0001010 => 2
[3,5,4,2,6,7,1,8] => 0110010 => 2
[2,5,4,3,6,7,1,8] => 0110010 => 2
[2,4,5,3,6,7,1,8] => 0010010 => 2
[2,3,5,4,6,7,1,8] => 0010010 => 2
[1,7,6,5,4,3,2,8] => 0111110 => 1
[1,6,7,5,4,3,2,8] => 0011110 => 1
[1,6,5,7,4,3,2,8] => 0101110 => 2
[1,5,6,7,4,3,2,8] => 0001110 => 1
[1,4,7,6,5,3,2,8] => 0011110 => 1
[1,4,6,7,5,3,2,8] => 0001110 => 1
[1,5,4,7,6,3,2,8] => 0101110 => 2
[1,5,6,4,7,3,2,8] => 0010110 => 2
[1,4,6,5,7,3,2,8] => 0010110 => 2
[1,5,4,6,7,3,2,8] => 0100110 => 2
[1,4,5,6,7,3,2,8] => 0000110 => 1
[1,3,7,6,5,4,2,8] => 0011110 => 1
[1,3,6,7,5,4,2,8] => 0001110 => 1
[1,3,5,7,6,4,2,8] => 0001110 => 1
[1,3,6,5,7,4,2,8] => 0010110 => 2
[1,3,5,6,7,4,2,8] => 0000110 => 1
[1,3,4,6,7,5,2,8] => 0000110 => 1
[1,3,5,4,7,6,2,8] => 0010110 => 2
[1,4,3,5,7,6,2,8] => 0100110 => 2
[1,3,4,5,7,6,2,8] => 0000110 => 1
[1,5,4,6,3,7,2,8] => 0101010 => 3
[1,4,5,6,3,7,2,8] => 0001010 => 2
[1,3,6,5,4,7,2,8] => 0011010 => 2
[1,3,5,6,4,7,2,8] => 0001010 => 2
[1,4,3,6,5,7,2,8] => 0101010 => 3
[1,3,4,6,5,7,2,8] => 0001010 => 2
[1,5,4,3,6,7,2,8] => 0110010 => 2
[1,4,5,3,6,7,2,8] => 0010010 => 2
[1,3,5,4,6,7,2,8] => 0010010 => 2
[1,3,4,5,6,7,2,8] => 0000010 => 1
[2,1,7,6,5,4,3,8] => 1011110 => 2
[2,1,6,7,5,4,3,8] => 1001110 => 2
[2,1,5,6,7,4,3,8] => 1000110 => 2
[2,1,4,6,7,5,3,8] => 1000110 => 2
[2,1,4,5,6,7,3,8] => 1000010 => 2
[1,2,7,6,5,4,3,8] => 0011110 => 1
[1,2,6,7,5,4,3,8] => 0001110 => 1
[1,2,5,7,6,4,3,8] => 0001110 => 1
[1,2,5,6,7,4,3,8] => 0000110 => 1
[1,2,4,6,7,5,3,8] => 0000110 => 1
[1,2,5,6,4,7,3,8] => 0001010 => 2
[1,2,5,4,6,7,3,8] => 0010010 => 2
[1,2,4,5,6,7,3,8] => 0000010 => 1
[3,2,1,7,6,5,4,8] => 1101110 => 2
[3,2,1,6,7,5,4,8] => 1100110 => 2
[3,2,1,5,7,6,4,8] => 1100110 => 2
[3,2,1,5,6,7,4,8] => 1100010 => 2
[2,3,1,6,7,5,4,8] => 0100110 => 2
[2,3,1,6,5,7,4,8] => 0101010 => 3
[2,3,1,5,6,7,4,8] => 0100010 => 2
[1,3,2,7,6,5,4,8] => 0101110 => 2
[1,3,2,6,7,5,4,8] => 0100110 => 2
[1,3,2,5,7,6,4,8] => 0100110 => 2
[1,3,2,6,5,7,4,8] => 0101010 => 3
[1,3,2,5,6,7,4,8] => 0100010 => 2
[2,1,3,6,7,5,4,8] => 1000110 => 2
[1,2,3,7,6,5,4,8] => 0001110 => 1
[1,2,3,6,7,5,4,8] => 0000110 => 1
[1,2,3,5,7,6,4,8] => 0000110 => 1
[1,2,3,6,5,7,4,8] => 0001010 => 2
[1,2,3,5,6,7,4,8] => 0000010 => 1
[4,3,2,1,7,6,5,8] => 1110110 => 2
[4,3,2,1,6,7,5,8] => 1110010 => 2
[3,2,4,1,7,6,5,8] => 1010110 => 3
[3,2,4,1,6,7,5,8] => 1010010 => 3
[2,3,4,1,7,6,5,8] => 0010110 => 2
[2,3,4,1,6,7,5,8] => 0010010 => 2
[1,4,3,2,7,6,5,8] => 0110110 => 2
[1,4,3,2,6,7,5,8] => 0110010 => 2
[1,3,4,2,6,7,5,8] => 0010010 => 2
[1,2,4,3,6,7,5,8] => 0010010 => 2
[3,2,1,4,7,6,5,8] => 1100110 => 2
[2,3,1,4,6,7,5,8] => 0100010 => 2
[1,3,2,4,7,6,5,8] => 0100110 => 2
[2,1,3,4,6,7,5,8] => 1000010 => 2
[1,2,3,4,7,6,5,8] => 0000110 => 1
[1,2,3,4,6,7,5,8] => 0000010 => 1
[5,4,3,2,1,7,6,8] => 1111010 => 2
[4,5,3,2,1,7,6,8] => 0111010 => 2
[3,5,4,2,1,7,6,8] => 0111010 => 2
[3,4,5,2,1,7,6,8] => 0011010 => 2
[2,5,4,3,1,7,6,8] => 0111010 => 2
[2,4,5,3,1,7,6,8] => 0011010 => 2
[3,2,5,4,1,7,6,8] => 1011010 => 3
[2,3,5,4,1,7,6,8] => 0011010 => 2
[3,4,2,5,1,7,6,8] => 0101010 => 3
[2,4,3,5,1,7,6,8] => 0101010 => 3
[2,3,4,5,1,7,6,8] => 0001010 => 2
[1,5,4,3,2,7,6,8] => 0111010 => 2
[1,4,5,3,2,7,6,8] => 0011010 => 2
[1,3,5,4,2,7,6,8] => 0011010 => 2
[1,4,3,5,2,7,6,8] => 0101010 => 3
[1,3,4,5,2,7,6,8] => 0001010 => 2
[2,1,5,4,3,7,6,8] => 1011010 => 3
[1,2,4,5,3,7,6,8] => 0001010 => 2
[3,2,1,5,4,7,6,8] => 1101010 => 3
[2,3,1,5,4,7,6,8] => 0101010 => 3
[1,3,2,5,4,7,6,8] => 0101010 => 3
[1,2,3,5,4,7,6,8] => 0001010 => 2
[4,3,2,1,5,7,6,8] => 1110010 => 2
[3,2,4,1,5,7,6,8] => 1010010 => 3
[2,3,4,1,5,7,6,8] => 0010010 => 2
[1,4,3,2,5,7,6,8] => 0110010 => 2
[1,3,4,2,5,7,6,8] => 0010010 => 2
[1,2,4,3,5,7,6,8] => 0010010 => 2
[2,3,1,4,5,7,6,8] => 0100010 => 2
[1,3,2,4,5,7,6,8] => 0100010 => 2
[2,1,3,4,5,7,6,8] => 1000010 => 2
[1,2,3,4,5,7,6,8] => 0000010 => 1
[3,6,5,4,2,1,7,8] => 0111100 => 1
[4,3,6,5,2,1,7,8] => 1011100 => 2
[2,4,6,5,3,1,7,8] => 0011100 => 1
[2,4,5,6,3,1,7,8] => 0001100 => 1
[2,3,6,5,4,1,7,8] => 0011100 => 1
[2,3,5,6,4,1,7,8] => 0001100 => 1
[4,3,2,6,5,1,7,8] => 1101100 => 2
[2,4,3,6,5,1,7,8] => 0101100 => 2
[2,3,4,6,5,1,7,8] => 0001100 => 1
[3,5,4,2,6,1,7,8] => 0110100 => 2
[2,3,5,4,6,1,7,8] => 0010100 => 2
[1,6,5,4,3,2,7,8] => 0111100 => 1
[1,5,6,4,3,2,7,8] => 0011100 => 1
[1,4,6,5,3,2,7,8] => 0011100 => 1
[1,5,4,6,3,2,7,8] => 0101100 => 2
[1,4,5,6,3,2,7,8] => 0001100 => 1
[1,3,5,6,4,2,7,8] => 0001100 => 1
[1,4,3,6,5,2,7,8] => 0101100 => 2
[1,5,4,3,6,2,7,8] => 0110100 => 2
[1,4,5,3,6,2,7,8] => 0010100 => 2
[1,3,5,4,6,2,7,8] => 0010100 => 2
[1,4,3,5,6,2,7,8] => 0100100 => 2
[1,3,4,5,6,2,7,8] => 0000100 => 1
[2,1,5,6,4,3,7,8] => 1001100 => 2
[2,1,4,6,5,3,7,8] => 1001100 => 2
[1,2,6,5,4,3,7,8] => 0011100 => 1
[1,2,5,6,4,3,7,8] => 0001100 => 1
[1,2,4,6,5,3,7,8] => 0001100 => 1
[1,2,4,5,6,3,7,8] => 0000100 => 1
[3,2,1,6,5,4,7,8] => 1101100 => 2
[3,2,1,5,6,4,7,8] => 1100100 => 2
[2,3,1,6,5,4,7,8] => 0101100 => 2
[2,3,1,5,6,4,7,8] => 0100100 => 2
[1,3,2,6,5,4,7,8] => 0101100 => 2
[1,3,2,5,6,4,7,8] => 0100100 => 2
[1,2,3,6,5,4,7,8] => 0001100 => 1
[1,2,3,5,6,4,7,8] => 0000100 => 1
[4,3,2,1,6,5,7,8] => 1110100 => 2
[2,4,3,1,6,5,7,8] => 0110100 => 2
[3,2,4,1,6,5,7,8] => 1010100 => 3
[2,3,4,1,6,5,7,8] => 0010100 => 2
[2,1,4,3,6,5,7,8] => 1010100 => 3
[1,2,4,3,6,5,7,8] => 0010100 => 2
[1,3,2,4,6,5,7,8] => 0100100 => 2
[2,1,3,4,6,5,7,8] => 1000100 => 2
[1,2,3,4,6,5,7,8] => 0000100 => 1
[3,5,4,2,1,6,7,8] => 0111000 => 1
[2,5,4,3,1,6,7,8] => 0111000 => 1
[2,4,5,3,1,6,7,8] => 0011000 => 1
[3,2,5,4,1,6,7,8] => 1011000 => 2
[2,3,5,4,1,6,7,8] => 0011000 => 1
[2,4,3,5,1,6,7,8] => 0101000 => 2
[1,5,4,3,2,6,7,8] => 0111000 => 1
[1,4,5,3,2,6,7,8] => 0011000 => 1
[1,3,5,4,2,6,7,8] => 0011000 => 1
[1,3,4,5,2,6,7,8] => 0001000 => 1
[2,1,5,4,3,6,7,8] => 1011000 => 2
[2,1,4,5,3,6,7,8] => 1001000 => 2
[1,2,5,4,3,6,7,8] => 0011000 => 1
[3,2,1,5,4,6,7,8] => 1101000 => 2
[2,3,1,5,4,6,7,8] => 0101000 => 2
[1,3,2,5,4,6,7,8] => 0101000 => 2
[1,2,3,5,4,6,7,8] => 0001000 => 1
[2,4,3,1,5,6,7,8] => 0110000 => 1
[1,4,3,2,5,6,7,8] => 0110000 => 1
[1,3,4,2,5,6,7,8] => 0010000 => 1
[2,1,4,3,5,6,7,8] => 1010000 => 2
[1,2,4,3,5,6,7,8] => 0010000 => 1
[1,3,2,4,5,6,7,8] => 0100000 => 1
[1,2,3,4,8,6,7,5] => 0000101 => 1
[1,2,3,5,8,6,7,4] => 0000101 => 1
[1,2,3,7,5,6,4,8] => 0001010 => 2
[1,2,3,7,5,6,8,4] => 0001001 => 1
[1,2,3,8,5,6,7,4] => 0001001 => 1
[1,2,3,8,5,7,6,4] => 0001011 => 1
[1,2,3,8,6,5,7,4] => 0001101 => 1
[1,2,3,8,6,7,5,4] => 0001011 => 1
[1,2,4,5,8,6,7,3] => 0000101 => 1
[1,2,4,7,5,6,8,3] => 0001001 => 1
[1,2,4,8,5,6,7,3] => 0001001 => 1
[1,2,4,8,6,5,7,3] => 0001101 => 1
[1,2,5,4,8,6,7,3] => 0010101 => 2
[1,2,6,4,5,3,7,8] => 0010100 => 2
[1,2,6,4,5,7,8,3] => 0010001 => 1
[1,2,6,4,5,8,7,3] => 0010011 => 1
[1,2,7,4,5,6,8,3] => 0010001 => 1
[1,2,8,4,5,6,7,3] => 0010001 => 1
[1,2,8,4,6,7,5,3] => 0010011 => 1
[1,2,8,4,7,6,5,3] => 0010111 => 1
[1,2,7,5,4,6,3,8] => 0011010 => 2
[1,2,7,5,4,6,8,3] => 0011001 => 1
[1,2,8,5,4,6,7,3] => 0011001 => 1
[1,2,8,5,4,7,6,3] => 0011011 => 1
[1,2,8,5,6,4,7,3] => 0010101 => 2
[1,2,8,5,6,7,4,3] => 0010011 => 1
[1,2,8,6,5,4,7,3] => 0011101 => 1
[1,2,8,6,5,7,4,3] => 0011011 => 1
[1,2,8,7,5,6,4,3] => 0011011 => 1
[1,3,2,4,8,6,7,5] => 0100101 => 2
[1,3,2,7,5,6,8,4] => 0101001 => 2
[1,3,2,8,5,7,6,4] => 0101011 => 2
[1,3,2,8,6,5,7,4] => 0101101 => 2
[1,3,2,8,6,7,5,4] => 0101011 => 2
[1,3,4,2,8,6,7,5] => 0010101 => 2
[1,3,4,5,8,6,7,2] => 0000101 => 1
[1,3,4,8,5,6,7,2] => 0001001 => 1
[1,3,4,8,6,5,7,2] => 0001101 => 1
[1,3,4,8,6,7,5,2] => 0001011 => 1
[1,3,6,4,5,2,8,7] => 0010101 => 2
[1,3,6,4,5,7,2,8] => 0010010 => 2
[1,3,6,4,5,7,8,2] => 0010001 => 1
[1,3,6,4,5,8,7,2] => 0010011 => 1
[1,3,7,4,5,6,2,8] => 0010010 => 2
[1,3,7,4,5,6,8,2] => 0010001 => 1
[1,3,8,4,5,6,7,2] => 0010001 => 1
[1,3,8,4,6,5,7,2] => 0010101 => 2
[1,3,8,5,4,6,7,2] => 0011001 => 1
[1,3,8,5,4,7,6,2] => 0011011 => 1
[1,3,8,5,6,7,4,2] => 0010011 => 1
[1,3,8,5,7,6,4,2] => 0010111 => 1
[1,3,8,6,5,7,4,2] => 0011011 => 1
[1,3,8,7,5,6,4,2] => 0011011 => 1
[1,4,3,5,8,6,7,2] => 0100101 => 2
[1,4,3,8,5,6,7,2] => 0101001 => 2
[1,4,3,8,5,7,6,2] => 0101011 => 2
[1,4,3,8,6,5,7,2] => 0101101 => 2
[1,4,3,8,6,7,5,2] => 0101011 => 2
[1,5,3,4,2,6,7,8] => 0101000 => 2
[1,5,3,4,2,7,8,6] => 0101001 => 2
[1,5,3,4,2,8,7,6] => 0101011 => 2
[1,5,3,4,6,2,7,8] => 0100100 => 2
[1,5,3,4,6,2,8,7] => 0100101 => 2
[1,5,3,4,6,7,2,8] => 0100010 => 2
[1,5,3,4,6,7,8,2] => 0100001 => 1
[1,5,3,4,7,6,2,8] => 0100110 => 2
[1,5,3,4,8,6,7,2] => 0100101 => 2
[1,6,3,4,5,2,7,8] => 0100100 => 2
[1,6,3,4,5,8,7,2] => 0100011 => 1
[1,7,3,4,5,6,2,8] => 0100010 => 2
[1,7,3,4,5,6,8,2] => 0100001 => 1
[1,8,3,4,5,6,7,2] => 0100001 => 1
[1,8,3,4,6,7,5,2] => 0100011 => 1
[1,6,3,5,4,2,7,8] => 0101100 => 2
[1,6,3,5,4,8,7,2] => 0101011 => 2
[1,7,3,5,4,6,2,8] => 0101010 => 3
[1,8,3,5,4,6,7,2] => 0101001 => 2
[1,8,3,5,4,7,6,2] => 0101011 => 2
[1,8,3,5,6,4,7,2] => 0100101 => 2
[1,8,3,5,6,7,4,2] => 0100011 => 1
[1,8,3,5,7,6,4,2] => 0100111 => 1
[1,7,3,6,5,4,2,8] => 0101110 => 2
[1,7,3,6,5,4,8,2] => 0101101 => 2
[1,8,3,6,5,4,7,2] => 0101101 => 2
[1,8,3,7,5,6,4,2] => 0101011 => 2
[1,8,3,7,6,5,4,2] => 0101111 => 1
[1,6,4,3,5,2,7,8] => 0110100 => 2
[1,6,4,3,5,8,7,2] => 0110011 => 1
[1,8,4,3,5,6,7,2] => 0110001 => 1
[1,8,4,3,5,7,6,2] => 0110011 => 1
[1,7,4,3,6,5,8,2] => 0110101 => 2
[1,8,4,3,6,5,7,2] => 0110101 => 2
[1,8,4,3,6,7,5,2] => 0110011 => 1
[1,6,4,5,3,2,7,8] => 0101100 => 2
[1,6,4,5,3,2,8,7] => 0101101 => 2
[1,6,4,5,3,8,7,2] => 0101011 => 2
[1,7,4,5,3,6,8,2] => 0101001 => 2
[1,8,4,5,3,6,7,2] => 0101001 => 2
[1,7,4,5,6,3,2,8] => 0100110 => 2
[1,7,4,5,6,3,8,2] => 0100101 => 2
[1,8,4,5,6,3,7,2] => 0100101 => 2
[1,8,4,5,6,7,3,2] => 0100011 => 1
[1,7,4,6,5,3,2,8] => 0101110 => 2
[1,8,4,6,5,3,7,2] => 0101101 => 2
[1,8,4,6,5,7,3,2] => 0101011 => 2
[1,8,4,7,6,5,3,2] => 0101111 => 1
[1,7,5,4,3,6,2,8] => 0111010 => 2
[1,7,5,4,3,6,8,2] => 0111001 => 1
[1,8,5,4,3,6,7,2] => 0111001 => 1
[1,8,5,4,3,7,6,2] => 0111011 => 1
[1,8,5,4,6,3,7,2] => 0110101 => 2
[1,8,5,4,6,7,3,2] => 0110011 => 1
[1,8,5,4,7,6,3,2] => 0110111 => 1
[1,7,6,4,5,3,2,8] => 0110110 => 2
[1,8,6,4,5,3,7,2] => 0110101 => 2
[1,8,6,4,5,7,3,2] => 0110011 => 1
[1,8,7,4,5,6,3,2] => 0110011 => 1
[1,8,7,4,6,5,3,2] => 0110111 => 1
[1,8,6,5,4,3,7,2] => 0111101 => 1
[1,8,6,5,4,7,3,2] => 0111011 => 1
[1,8,7,5,4,6,3,2] => 0111011 => 1
[1,8,7,5,6,4,3,2] => 0110111 => 1
[2,1,3,4,8,6,7,5] => 1000101 => 2
[2,1,3,5,8,6,7,4] => 1000101 => 2
[2,1,3,8,5,6,7,4] => 1001001 => 2
[2,1,3,8,5,7,6,4] => 1001011 => 2
[2,1,3,8,6,5,7,4] => 1001101 => 2
[2,1,3,8,6,7,5,4] => 1001011 => 2
[2,1,4,3,8,6,7,5] => 1010101 => 3
[2,1,4,5,8,6,7,3] => 1000101 => 2
[2,1,4,8,5,6,7,3] => 1001001 => 2
[2,1,4,8,5,7,6,3] => 1001011 => 2
[2,1,4,8,6,5,7,3] => 1001101 => 2
[2,1,4,8,6,7,5,3] => 1001011 => 2
[2,1,5,4,8,6,7,3] => 1010101 => 3
[2,1,6,4,5,3,8,7] => 1010101 => 3
[2,1,6,4,5,7,8,3] => 1010001 => 2
[2,1,6,4,5,8,7,3] => 1010011 => 2
[2,1,8,4,5,6,7,3] => 1010001 => 2
[2,1,8,4,5,7,6,3] => 1010011 => 2
[2,1,7,4,6,5,8,3] => 1010101 => 3
[2,1,8,4,6,5,7,3] => 1010101 => 3
[2,1,8,4,6,7,5,3] => 1010011 => 2
[2,1,8,4,7,6,5,3] => 1010111 => 2
[2,1,7,5,4,6,8,3] => 1011001 => 2
[2,1,8,5,4,6,7,3] => 1011001 => 2
[2,1,8,5,4,7,6,3] => 1011011 => 2
[2,1,7,5,6,4,8,3] => 1010101 => 3
[2,1,8,5,6,4,7,3] => 1010101 => 3
[2,1,8,5,6,7,4,3] => 1010011 => 2
[2,1,8,5,7,6,4,3] => 1010111 => 2
[2,1,8,6,5,4,7,3] => 1011101 => 2
[2,1,8,6,5,7,4,3] => 1011011 => 2
[2,1,8,7,5,6,4,3] => 1011011 => 2
[2,3,1,7,5,6,4,8] => 0101010 => 3
[2,3,1,8,5,6,7,4] => 0101001 => 2
[2,3,1,8,6,7,5,4] => 0101011 => 2
[2,3,4,1,8,6,7,5] => 0010101 => 2
[2,3,4,5,8,6,7,1] => 0000101 => 1
[2,3,4,7,5,6,1,8] => 0001010 => 2
[2,3,4,7,5,6,8,1] => 0001001 => 1
[2,3,4,8,5,6,7,1] => 0001001 => 1
[2,3,4,8,5,7,6,1] => 0001011 => 1
[2,3,4,8,6,5,7,1] => 0001101 => 1
[2,3,4,8,6,7,5,1] => 0001011 => 1
[2,3,5,4,8,6,7,1] => 0010101 => 2
[2,3,6,4,5,1,7,8] => 0010100 => 2
[2,3,6,4,5,1,8,7] => 0010101 => 2
[2,3,6,4,5,7,8,1] => 0010001 => 1
[2,3,6,4,5,8,7,1] => 0010011 => 1
[2,3,7,4,5,6,8,1] => 0010001 => 1
[2,3,8,4,5,6,7,1] => 0010001 => 1
[2,3,7,4,6,5,8,1] => 0010101 => 2
[2,3,8,4,6,7,5,1] => 0010011 => 1
[2,3,7,5,4,6,1,8] => 0011010 => 2
[2,3,7,5,4,6,8,1] => 0011001 => 1
[2,3,8,5,4,6,7,1] => 0011001 => 1
[2,3,7,5,6,4,1,8] => 0010110 => 2
[2,3,7,5,6,4,8,1] => 0010101 => 2
[2,3,8,5,6,4,7,1] => 0010101 => 2
[2,3,8,5,6,7,4,1] => 0010011 => 1
[2,3,8,5,7,6,4,1] => 0010111 => 1
[2,3,8,6,5,4,7,1] => 0011101 => 1
[2,4,3,1,8,6,7,5] => 0110101 => 2
[2,4,3,5,8,6,7,1] => 0100101 => 2
[2,4,3,7,5,6,8,1] => 0101001 => 2
[2,4,3,8,5,6,7,1] => 0101001 => 2
[2,4,3,8,5,7,6,1] => 0101011 => 2
[2,4,3,8,6,5,7,1] => 0101101 => 2
[2,4,3,8,6,7,5,1] => 0101011 => 2
[2,5,3,4,1,6,7,8] => 0101000 => 2
[2,5,3,4,1,8,7,6] => 0101011 => 2
[2,5,3,4,6,7,1,8] => 0100010 => 2
[2,5,3,4,6,7,8,1] => 0100001 => 1
[2,5,3,4,6,8,7,1] => 0100011 => 1
[2,5,3,4,7,6,8,1] => 0100101 => 2
[2,5,3,4,8,6,7,1] => 0100101 => 2
[2,5,3,4,8,7,6,1] => 0100111 => 1
[2,6,3,4,5,1,7,8] => 0100100 => 2
[2,6,3,4,5,7,8,1] => 0100001 => 1
[2,6,3,4,5,8,7,1] => 0100011 => 1
[2,7,3,4,5,6,1,8] => 0100010 => 2
[2,8,3,4,5,6,7,1] => 0100001 => 1
[2,8,3,4,5,7,6,1] => 0100011 => 1
[2,6,3,5,4,1,7,8] => 0101100 => 2
[2,6,3,5,4,1,8,7] => 0101101 => 2
[2,6,3,5,4,7,8,1] => 0101001 => 2
[2,6,3,5,4,8,7,1] => 0101011 => 2
[2,7,3,5,4,6,8,1] => 0101001 => 2
[2,8,3,5,4,7,6,1] => 0101011 => 2
[2,7,3,5,6,4,8,1] => 0100101 => 2
[2,8,3,5,6,7,4,1] => 0100011 => 1
[2,8,3,5,7,6,4,1] => 0100111 => 1
[2,7,3,6,5,4,1,8] => 0101110 => 2
[2,8,3,7,5,6,4,1] => 0101011 => 2
[2,8,3,7,6,5,4,1] => 0101111 => 1
[2,5,4,3,8,6,7,1] => 0110101 => 2
[2,6,4,3,5,1,8,7] => 0110101 => 2
[2,6,4,3,5,7,8,1] => 0110001 => 1
[2,6,4,3,5,8,7,1] => 0110011 => 1
[2,7,4,3,5,6,8,1] => 0110001 => 1
[2,8,4,3,5,6,7,1] => 0110001 => 1
[2,8,4,3,5,7,6,1] => 0110011 => 1
[2,7,4,3,6,5,8,1] => 0110101 => 2
[2,8,4,3,6,5,7,1] => 0110101 => 2
[2,8,4,3,6,7,5,1] => 0110011 => 1
[2,8,4,3,7,6,5,1] => 0110111 => 1
[2,6,4,5,3,1,7,8] => 0101100 => 2
[2,6,4,5,3,1,8,7] => 0101101 => 2
[2,6,4,5,3,7,8,1] => 0101001 => 2
[2,6,4,5,3,8,7,1] => 0101011 => 2
[2,8,4,5,3,6,7,1] => 0101001 => 2
[2,7,4,5,6,3,1,8] => 0100110 => 2
[2,7,4,5,6,3,8,1] => 0100101 => 2
[2,8,4,5,6,3,7,1] => 0100101 => 2
[2,8,4,5,6,7,3,1] => 0100011 => 1
[2,7,4,6,5,3,1,8] => 0101110 => 2
[2,7,4,6,5,3,8,1] => 0101101 => 2
[2,8,4,6,5,3,7,1] => 0101101 => 2
[2,8,4,7,6,5,3,1] => 0101111 => 1
[2,7,5,4,3,6,8,1] => 0111001 => 1
[2,8,5,4,3,6,7,1] => 0111001 => 1
[2,8,5,4,3,7,6,1] => 0111011 => 1
[2,7,5,4,6,3,8,1] => 0110101 => 2
[2,8,5,4,6,7,3,1] => 0110011 => 1
[2,8,5,4,7,6,3,1] => 0110111 => 1
[2,7,6,4,5,3,8,1] => 0110101 => 2
[2,8,7,4,5,6,3,1] => 0110011 => 1
[2,8,7,4,6,5,3,1] => 0110111 => 1
[2,8,7,5,4,6,3,1] => 0111011 => 1
[2,8,7,5,6,4,3,1] => 0110111 => 1
[3,2,1,4,8,6,7,5] => 1100101 => 2
[3,2,1,5,8,6,7,4] => 1100101 => 2
[3,2,1,7,5,6,8,4] => 1101001 => 2
[3,2,1,8,5,6,7,4] => 1101001 => 2
[3,2,1,8,5,7,6,4] => 1101011 => 2
[3,2,1,8,6,5,7,4] => 1101101 => 2
[3,2,1,8,6,7,5,4] => 1101011 => 2
[3,2,4,1,8,6,7,5] => 1010101 => 3
[3,2,4,5,8,6,7,1] => 1000101 => 2
[3,2,4,7,5,6,8,1] => 1001001 => 2
[3,2,4,8,5,6,7,1] => 1001001 => 2
[3,2,4,8,6,7,5,1] => 1001011 => 2
[3,2,5,4,8,6,7,1] => 1010101 => 3
[3,2,6,4,5,1,8,7] => 1010101 => 3
[3,2,6,4,5,7,1,8] => 1010010 => 3
[3,2,7,4,5,6,1,8] => 1010010 => 3
[3,2,8,4,5,6,7,1] => 1010001 => 2
[3,2,7,4,6,5,1,8] => 1010110 => 3
[3,2,7,4,6,5,8,1] => 1010101 => 3
[3,2,8,4,6,5,7,1] => 1010101 => 3
[3,2,7,5,4,6,1,8] => 1011010 => 3
[3,2,8,5,4,6,7,1] => 1011001 => 2
[3,2,8,5,4,7,6,1] => 1011011 => 2
[3,2,7,5,6,4,1,8] => 1010110 => 3
[3,2,7,5,6,4,8,1] => 1010101 => 3
[3,2,8,5,6,4,7,1] => 1010101 => 3
[3,2,8,5,7,6,4,1] => 1010111 => 2
[3,2,8,6,5,7,4,1] => 1011011 => 2
[3,2,8,7,5,6,4,1] => 1011011 => 2
[4,2,3,1,5,7,6,8] => 1010010 => 3
[4,2,3,1,5,7,8,6] => 1010001 => 2
[4,2,3,1,6,5,8,7] => 1010101 => 3
[4,2,3,1,6,7,8,5] => 1010001 => 2
[4,2,3,1,6,8,7,5] => 1010011 => 2
[4,2,3,1,7,6,8,5] => 1010101 => 3
[4,2,3,1,8,6,7,5] => 1010101 => 3
[4,2,3,1,8,7,6,5] => 1010111 => 2
[4,2,3,5,1,6,8,7] => 1001001 => 2
[4,2,3,5,1,7,8,6] => 1001001 => 2
[4,2,3,5,1,8,7,6] => 1001011 => 2
[4,2,3,5,6,1,8,7] => 1000101 => 2
[4,2,3,5,6,8,7,1] => 1000011 => 1
[4,2,3,5,7,6,1,8] => 1000110 => 2
[4,2,3,5,8,7,6,1] => 1000111 => 1
[4,2,3,6,5,1,7,8] => 1001100 => 2
[4,2,3,6,5,1,8,7] => 1001101 => 2
[4,2,3,6,5,8,7,1] => 1001011 => 2
[4,2,3,7,5,6,1,8] => 1001010 => 3
[4,2,3,7,5,6,8,1] => 1001001 => 2
[4,2,3,8,5,6,7,1] => 1001001 => 2
[4,2,3,8,5,7,6,1] => 1001011 => 2
[4,2,3,7,6,5,8,1] => 1001101 => 2
[4,2,3,8,6,7,5,1] => 1001011 => 2
[4,2,3,8,7,6,5,1] => 1001111 => 1
[5,2,3,4,1,6,8,7] => 1001001 => 2
[5,2,3,4,1,7,8,6] => 1001001 => 2
[5,2,3,4,1,8,7,6] => 1001011 => 2
[5,2,3,4,6,1,8,7] => 1000101 => 2
[5,2,3,4,7,6,1,8] => 1000110 => 2
[5,2,3,4,8,6,7,1] => 1000101 => 2
[5,2,3,4,8,7,6,1] => 1000111 => 1
[6,2,3,4,5,1,8,7] => 1000101 => 2
[6,2,3,4,5,8,7,1] => 1000011 => 1
[8,2,3,4,5,7,6,1] => 1000011 => 1
[7,2,3,4,6,5,1,8] => 1000110 => 2
[8,2,3,4,7,6,5,1] => 1000111 => 1
[6,2,3,5,4,1,7,8] => 1001100 => 2
[6,2,3,5,4,1,8,7] => 1001101 => 2
[6,2,3,5,4,7,1,8] => 1001010 => 3
[6,2,3,5,4,7,8,1] => 1001001 => 2
[7,2,3,5,4,6,1,8] => 1001010 => 3
[8,2,3,5,4,6,7,1] => 1001001 => 2
[8,2,3,5,4,7,6,1] => 1001011 => 2
[7,2,3,5,6,4,1,8] => 1000110 => 2
[8,2,3,5,6,7,4,1] => 1000011 => 1
[8,2,3,5,7,6,4,1] => 1000111 => 1
[7,2,3,6,5,4,1,8] => 1001110 => 2
[8,2,3,6,5,4,7,1] => 1001101 => 2
[8,2,3,7,5,6,4,1] => 1001011 => 2
[8,2,3,7,6,5,4,1] => 1001111 => 1
[5,2,4,3,1,6,7,8] => 1011000 => 2
[5,2,4,3,1,6,8,7] => 1011001 => 2
[5,2,4,3,1,7,6,8] => 1011010 => 3
[5,2,4,3,1,8,7,6] => 1011011 => 2
[5,2,4,3,6,1,7,8] => 1010100 => 3
[5,2,4,3,6,1,8,7] => 1010101 => 3
[5,2,4,3,6,7,1,8] => 1010010 => 3
[5,2,4,3,7,6,1,8] => 1010110 => 3
[5,2,4,3,7,6,8,1] => 1010101 => 3
[5,2,4,3,8,7,6,1] => 1010111 => 2
[6,2,4,3,5,1,8,7] => 1010101 => 3
[7,2,4,3,6,5,1,8] => 1010110 => 3
[7,2,4,3,6,5,8,1] => 1010101 => 3
[8,2,4,3,6,5,7,1] => 1010101 => 3
[8,2,4,3,6,7,5,1] => 1010011 => 2
[8,2,4,3,7,6,5,1] => 1010111 => 2
[6,2,4,5,3,1,7,8] => 1001100 => 2
[6,2,4,5,3,1,8,7] => 1001101 => 2
[6,2,4,5,3,8,7,1] => 1001011 => 2
[7,2,4,5,3,6,1,8] => 1001010 => 3
[7,2,4,5,3,6,8,1] => 1001001 => 2
[8,2,4,5,3,7,6,1] => 1001011 => 2
[8,2,4,5,6,3,7,1] => 1000101 => 2
[8,2,4,5,6,7,3,1] => 1000011 => 1
[8,2,4,5,7,6,3,1] => 1000111 => 1
[7,2,4,6,5,3,1,8] => 1001110 => 2
[7,2,4,6,5,3,8,1] => 1001101 => 2
[8,2,4,7,5,6,3,1] => 1001011 => 2
[8,2,4,7,6,5,3,1] => 1001111 => 1
[6,2,5,4,3,1,7,8] => 1011100 => 2
[6,2,5,4,3,1,8,7] => 1011101 => 2
[6,2,5,4,3,7,1,8] => 1011010 => 3
[6,2,5,4,3,7,8,1] => 1011001 => 2
[7,2,5,4,3,6,1,8] => 1011010 => 3
[8,2,5,4,3,6,7,1] => 1011001 => 2
[8,2,5,4,3,7,6,1] => 1011011 => 2
[7,2,5,4,6,3,8,1] => 1010101 => 3
[8,2,5,4,7,6,3,1] => 1010111 => 2
[7,2,6,4,5,3,1,8] => 1010110 => 3
[7,2,6,4,5,3,8,1] => 1010101 => 3
[8,2,6,4,5,3,7,1] => 1010101 => 3
[8,2,6,4,5,7,3,1] => 1010011 => 2
[8,2,7,4,5,6,3,1] => 1010011 => 2
[8,2,7,4,6,5,3,1] => 1010111 => 2
[7,2,6,5,4,3,1,8] => 1011110 => 2
[7,2,6,5,4,3,8,1] => 1011101 => 2
[8,2,6,5,4,3,7,1] => 1011101 => 2
[8,2,6,5,4,7,3,1] => 1011011 => 2
[8,2,7,5,4,6,3,1] => 1011011 => 2
[8,2,7,5,6,4,3,1] => 1010111 => 2
[8,2,7,6,5,4,3,1] => 1011111 => 1
[4,3,2,1,8,6,7,5] => 1110101 => 2
[4,3,2,7,5,6,8,1] => 1101001 => 2
[4,3,2,8,5,6,7,1] => 1101001 => 2
[4,3,2,8,5,7,6,1] => 1101011 => 2
[4,3,2,8,6,7,5,1] => 1101011 => 2
[5,3,2,4,1,6,8,7] => 1101001 => 2
[5,3,2,4,1,7,6,8] => 1101010 => 3
[5,3,2,4,1,8,7,6] => 1101011 => 2
[5,3,2,4,6,1,8,7] => 1100101 => 2
[5,3,2,4,7,6,1,8] => 1100110 => 2
[8,3,2,4,6,5,7,1] => 1100101 => 2
[8,3,2,4,6,7,5,1] => 1100011 => 1
[8,3,2,4,7,6,5,1] => 1100111 => 1
[6,3,2,5,4,1,7,8] => 1101100 => 2
[6,3,2,5,4,1,8,7] => 1101101 => 2
[6,3,2,5,4,7,1,8] => 1101010 => 3
[6,3,2,5,4,7,8,1] => 1101001 => 2
[6,3,2,5,4,8,7,1] => 1101011 => 2
[7,3,2,5,4,6,1,8] => 1101010 => 3
[8,3,2,5,4,7,6,1] => 1101011 => 2
[7,3,2,5,6,4,8,1] => 1100101 => 2
[8,3,2,5,6,4,7,1] => 1100101 => 2
[8,3,2,5,6,7,4,1] => 1100011 => 1
[8,3,2,5,7,6,4,1] => 1100111 => 1
[8,3,2,6,5,7,4,1] => 1101011 => 2
[8,3,2,7,5,6,4,1] => 1101011 => 2
[8,3,2,7,6,5,4,1] => 1101111 => 1
[5,3,4,2,1,6,8,7] => 1011001 => 2
[5,3,4,2,1,7,8,6] => 1011001 => 2
[5,3,4,2,1,8,7,6] => 1011011 => 2
[5,3,4,2,6,1,8,7] => 1010101 => 3
[5,3,4,2,7,6,1,8] => 1010110 => 3
[5,3,4,2,7,6,8,1] => 1010101 => 3
[5,3,4,2,8,6,7,1] => 1010101 => 3
[6,3,4,2,5,1,8,7] => 1010101 => 3
[7,3,4,2,6,5,1,8] => 1010110 => 3
[7,3,4,2,6,5,8,1] => 1010101 => 3
[8,3,4,2,6,5,7,1] => 1010101 => 3
[6,3,4,5,2,1,8,7] => 1001101 => 2
[6,3,4,5,2,8,7,1] => 1001011 => 2
[8,3,4,5,2,7,6,1] => 1001011 => 2
[8,3,4,5,7,6,2,1] => 1000111 => 1
[7,3,4,6,5,2,1,8] => 1001110 => 2
[8,3,4,7,6,5,2,1] => 1001111 => 1
[6,3,5,4,2,1,8,7] => 1011101 => 2
[6,3,5,4,2,7,1,8] => 1011010 => 3
[6,3,5,4,2,7,8,1] => 1011001 => 2
[6,3,5,4,2,8,7,1] => 1011011 => 2
[7,3,5,4,2,6,1,8] => 1011010 => 3
[8,3,5,4,2,6,7,1] => 1011001 => 2
[8,3,5,4,2,7,6,1] => 1011011 => 2
[7,3,5,4,6,2,1,8] => 1010110 => 3
[7,3,5,4,6,2,8,1] => 1010101 => 3
[8,3,5,4,6,7,2,1] => 1010011 => 2
[8,3,5,4,7,6,2,1] => 1010111 => 2
[7,3,6,4,5,2,1,8] => 1010110 => 3
[7,3,6,4,5,2,8,1] => 1010101 => 3
[8,3,6,4,5,2,7,1] => 1010101 => 3
[8,3,6,4,5,7,2,1] => 1010011 => 2
[8,3,7,4,5,6,2,1] => 1010011 => 2
[8,3,7,4,6,5,2,1] => 1010111 => 2
[7,3,6,5,4,2,1,8] => 1011110 => 2
[7,3,6,5,4,2,8,1] => 1011101 => 2
[8,3,6,5,4,2,7,1] => 1011101 => 2
[8,3,6,5,4,7,2,1] => 1011011 => 2
[8,3,7,5,4,6,2,1] => 1011011 => 2
[8,3,7,5,6,4,2,1] => 1010111 => 2
[8,3,7,6,5,4,2,1] => 1011111 => 1
[5,4,3,2,8,6,7,1] => 1110101 => 2
[6,4,3,2,5,1,8,7] => 1110101 => 2
[6,4,3,2,5,8,7,1] => 1110011 => 1
[8,4,3,2,5,7,6,1] => 1110011 => 1
[7,4,3,2,6,5,1,8] => 1110110 => 2
[7,4,3,2,6,5,8,1] => 1110101 => 2
[8,4,3,2,6,5,7,1] => 1110101 => 2
[8,4,3,2,6,7,5,1] => 1110011 => 1
[8,4,3,2,7,6,5,1] => 1110111 => 1
[6,4,3,5,2,1,8,7] => 1101101 => 2
[8,4,3,5,2,7,6,1] => 1101011 => 2
[8,4,3,5,7,6,2,1] => 1100111 => 1
[7,4,3,6,5,2,1,8] => 1101110 => 2
[7,4,3,6,5,2,8,1] => 1101101 => 2
[8,4,3,7,5,6,2,1] => 1101011 => 2
[8,4,3,7,6,5,2,1] => 1101111 => 1
[6,5,3,4,2,1,8,7] => 1101101 => 2
[8,5,3,4,2,7,6,1] => 1101011 => 2
[8,5,3,4,7,6,2,1] => 1100111 => 1
[8,7,3,4,6,5,2,1] => 1100111 => 1
[7,6,3,5,4,2,1,8] => 1101110 => 2
[7,6,3,5,4,2,8,1] => 1101101 => 2
[8,6,3,5,4,2,7,1] => 1101101 => 2
[8,6,3,5,4,7,2,1] => 1101011 => 2
[8,7,3,5,4,6,2,1] => 1101011 => 2
[8,7,3,5,6,4,2,1] => 1100111 => 1
[8,7,3,6,5,4,2,1] => 1101111 => 1
[8,5,4,3,2,7,6,1] => 1111011 => 1
[8,5,4,3,7,6,2,1] => 1110111 => 1
[8,7,4,3,6,5,2,1] => 1110111 => 1
[8,7,4,6,5,3,2,1] => 1101111 => 1
[2,4,1,3,6,5,8,7] => 0100101 => 2
[2,1,4,6,3,5,8,7] => 1001001 => 2
[2,4,1,6,3,5,8,7] => 0101001 => 2
[2,4,6,1,3,5,8,7] => 0010001 => 1
[2,1,4,3,6,8,5,7] => 1010010 => 3
[2,4,1,3,6,8,5,7] => 0100010 => 2
[2,1,4,6,3,8,5,7] => 1001010 => 3
[2,4,1,6,3,8,5,7] => 0101010 => 3
[2,4,6,1,3,8,5,7] => 0010010 => 2
[2,1,4,6,8,3,5,7] => 1000100 => 2
[2,4,1,6,8,3,5,7] => 0100100 => 2
[2,4,6,1,8,3,5,7] => 0010100 => 2
[2,4,6,8,1,3,5,7] => 0001000 => 1
[2,4,1,3,6,5,7,8] => 0100100 => 2
[2,1,4,6,3,5,7,8] => 1001000 => 2
[2,4,1,6,3,5,7,8] => 0101000 => 2
[2,4,6,1,3,5,7,8] => 0010000 => 1
[2,1,4,6,3,7,5,8] => 1001010 => 3
[2,4,1,6,3,7,5,8] => 0101010 => 3
[2,4,6,1,3,7,5,8] => 0010010 => 2
[2,4,6,7,1,3,5,8] => 0001000 => 1
[2,4,1,3,6,7,8,5] => 0100001 => 1
[2,1,4,6,3,7,8,5] => 1001001 => 2
[2,4,1,6,3,7,8,5] => 0101001 => 2
[2,4,6,1,3,7,8,5] => 0010001 => 1
[2,1,4,6,7,3,8,5] => 1000101 => 2
[2,4,1,6,7,3,8,5] => 0100101 => 2
[2,4,6,1,7,3,8,5] => 0010101 => 2
[2,4,6,7,1,3,8,5] => 0001001 => 1
[2,1,4,6,7,8,3,5] => 1000010 => 2
[2,4,1,6,7,8,3,5] => 0100010 => 2
[2,4,6,1,7,8,3,5] => 0010010 => 2
[2,4,6,7,1,8,3,5] => 0001010 => 2
[2,4,6,7,8,1,3,5] => 0000100 => 1
[2,1,4,3,7,5,8,6] => 1010101 => 3
[2,4,1,3,7,5,8,6] => 0100101 => 2
[2,1,4,7,3,5,8,6] => 1001001 => 2
[2,4,1,7,3,5,8,6] => 0101001 => 2
[2,4,7,1,3,5,8,6] => 0010001 => 1
[2,1,4,3,7,8,5,6] => 1010010 => 3
[2,4,1,3,7,8,5,6] => 0100010 => 2
[2,4,1,7,3,8,5,6] => 0101010 => 3
[2,1,4,7,8,3,5,6] => 1000100 => 2
[2,4,1,7,8,3,5,6] => 0100100 => 2
[2,4,7,1,8,3,5,6] => 0010100 => 2
[2,4,7,8,1,3,5,6] => 0001000 => 1
[2,4,1,5,3,7,6,8] => 0101010 => 3
[2,4,5,1,3,7,6,8] => 0010010 => 2
[2,4,5,1,7,3,6,8] => 0010100 => 2
[2,4,1,3,5,7,8,6] => 0100001 => 1
[2,4,1,5,3,7,8,6] => 0101001 => 2
[2,4,5,1,3,7,8,6] => 0010001 => 1
[2,1,4,5,7,3,8,6] => 1000101 => 2
[2,4,1,5,7,3,8,6] => 0100101 => 2
[2,4,5,1,7,3,8,6] => 0010101 => 2
[2,4,5,7,1,3,8,6] => 0001001 => 1
[2,1,4,5,7,8,3,6] => 1000010 => 2
[2,4,5,1,7,8,3,6] => 0010010 => 2
[2,4,5,7,1,8,3,6] => 0001010 => 2
[2,4,5,7,8,1,3,6] => 0000100 => 1
[2,1,4,3,8,5,6,7] => 1010100 => 3
[2,4,1,3,8,5,6,7] => 0100100 => 2
[2,1,4,8,3,5,6,7] => 1001000 => 2
[2,4,1,8,3,5,6,7] => 0101000 => 2
[2,4,8,1,3,5,6,7] => 0010000 => 1
[2,1,4,3,5,8,6,7] => 1010010 => 3
[2,4,1,5,3,8,6,7] => 0101010 => 3
[2,1,4,5,8,3,6,7] => 1000100 => 2
[2,4,1,5,8,3,6,7] => 0100100 => 2
[2,4,5,1,8,3,6,7] => 0010100 => 2
[2,4,5,8,1,3,6,7] => 0001000 => 1
[2,4,1,5,3,6,8,7] => 0101001 => 2
[2,4,1,5,6,3,8,7] => 0100101 => 2
[2,4,5,1,6,3,8,7] => 0010101 => 2
[2,4,5,6,1,3,8,7] => 0001001 => 1
[2,1,4,5,6,8,3,7] => 1000010 => 2
[2,4,1,5,6,8,3,7] => 0100010 => 2
[2,4,5,1,6,8,3,7] => 0010010 => 2
[2,4,5,6,1,8,3,7] => 0001010 => 2
[2,4,5,6,8,1,3,7] => 0000100 => 1
[2,4,1,3,5,6,7,8] => 0100000 => 1
[2,4,1,5,3,6,7,8] => 0101000 => 2
[2,4,5,1,3,6,7,8] => 0010000 => 1
[2,4,1,5,6,3,7,8] => 0100100 => 2
[2,4,5,1,6,3,7,8] => 0010100 => 2
[2,4,5,6,1,3,7,8] => 0001000 => 1
[2,4,1,5,6,7,3,8] => 0100010 => 2
[2,4,5,6,1,7,3,8] => 0001010 => 2
[2,4,5,6,7,1,3,8] => 0000100 => 1
[2,4,1,5,6,7,8,3] => 0100001 => 1
[2,4,5,1,6,7,8,3] => 0010001 => 1
[2,4,5,6,1,7,8,3] => 0001001 => 1
[2,4,5,6,7,1,8,3] => 0000101 => 1
[2,4,5,6,7,8,1,3] => 0000010 => 1
[2,1,5,3,6,4,8,7] => 1010101 => 3
[2,5,1,3,6,4,8,7] => 0100101 => 2
[2,1,5,6,3,4,8,7] => 1001001 => 2
[2,5,1,6,3,4,8,7] => 0101001 => 2
[2,5,6,1,3,4,8,7] => 0010001 => 1
[2,1,5,3,6,8,4,7] => 1010010 => 3
[2,5,1,3,6,8,4,7] => 0100010 => 2
[2,5,1,6,3,8,4,7] => 0101010 => 3
[2,5,6,1,3,8,4,7] => 0010010 => 2
[2,1,5,6,8,3,4,7] => 1000100 => 2
[2,5,1,6,8,3,4,7] => 0100100 => 2
[2,5,6,8,1,3,4,7] => 0001000 => 1
[2,5,1,3,6,4,7,8] => 0100100 => 2
[2,1,5,6,3,4,7,8] => 1001000 => 2
[2,5,1,6,3,4,7,8] => 0101000 => 2
[2,1,5,3,6,7,4,8] => 1010010 => 3
[2,1,5,6,3,7,4,8] => 1001010 => 3
[2,5,1,6,3,7,4,8] => 0101010 => 3
[2,5,6,1,3,7,4,8] => 0010010 => 2
[2,1,5,6,7,3,4,8] => 1000100 => 2
[2,5,1,6,7,3,4,8] => 0100100 => 2
[2,5,6,1,7,3,4,8] => 0010100 => 2
[2,1,5,3,6,7,8,4] => 1010001 => 2
[2,5,1,3,6,7,8,4] => 0100001 => 1
[2,1,5,6,3,7,8,4] => 1001001 => 2
[2,5,1,6,3,7,8,4] => 0101001 => 2
[2,5,6,1,3,7,8,4] => 0010001 => 1
[2,1,5,6,7,3,8,4] => 1000101 => 2
[2,5,1,6,7,3,8,4] => 0100101 => 2
[2,5,6,7,1,3,8,4] => 0001001 => 1
[2,1,5,6,7,8,3,4] => 1000010 => 2
[2,5,1,6,7,8,3,4] => 0100010 => 2
[2,5,6,1,7,8,3,4] => 0010010 => 2
[2,5,6,7,1,8,3,4] => 0001010 => 2
[2,5,6,7,8,1,3,4] => 0000100 => 1
[2,1,5,3,7,4,8,6] => 1010101 => 3
[2,5,1,3,7,4,8,6] => 0100101 => 2
[2,1,5,7,3,4,8,6] => 1001001 => 2
[2,5,1,7,3,4,8,6] => 0101001 => 2
[2,5,7,1,3,4,8,6] => 0010001 => 1
[2,1,5,3,7,8,4,6] => 1010010 => 3
[2,5,1,3,7,8,4,6] => 0100010 => 2
[2,1,5,7,3,8,4,6] => 1001010 => 3
[2,1,5,7,8,3,4,6] => 1000100 => 2
[2,5,1,7,8,3,4,6] => 0100100 => 2
[2,5,7,1,8,3,4,6] => 0010100 => 2
[2,5,7,8,1,3,4,6] => 0001000 => 1
[2,5,1,3,7,4,6,8] => 0100100 => 2
[2,1,5,7,3,4,6,8] => 1001000 => 2
[2,3,5,1,4,7,6,8] => 0010010 => 2
[2,3,5,7,1,4,6,8] => 0001000 => 1
[2,3,5,1,7,4,8,6] => 0010101 => 2
[2,3,5,7,1,4,8,6] => 0001001 => 1
[2,3,1,5,7,8,4,6] => 0100010 => 2
[2,3,5,7,1,8,4,6] => 0001010 => 2
[2,3,5,7,8,1,4,6] => 0000100 => 1
[2,1,5,3,8,4,6,7] => 1010100 => 3
[2,5,1,3,8,4,6,7] => 0100100 => 2
[2,1,5,8,3,4,6,7] => 1001000 => 2
[2,5,1,8,3,4,6,7] => 0101000 => 2
[2,5,8,1,3,4,6,7] => 0010000 => 1
[2,3,5,1,4,8,6,7] => 0010010 => 2
[2,1,3,5,8,4,6,7] => 1000100 => 2
[2,3,5,1,8,4,6,7] => 0010100 => 2
[2,3,5,8,1,4,6,7] => 0001000 => 1
[2,1,5,3,4,6,8,7] => 1010001 => 2
[2,3,5,1,6,4,8,7] => 0010101 => 2
[2,3,5,6,1,4,8,7] => 0001001 => 1
[2,3,1,5,6,8,4,7] => 0100010 => 2
[2,3,5,1,6,8,4,7] => 0010010 => 2
[2,3,5,6,1,8,4,7] => 0001010 => 2
[2,3,5,6,8,1,4,7] => 0000100 => 1
[2,1,5,3,4,6,7,8] => 1010000 => 2
[2,5,1,3,4,6,7,8] => 0100000 => 1
[2,3,5,1,4,6,7,8] => 0010000 => 1
[2,3,5,1,6,4,7,8] => 0010100 => 2
[2,3,5,6,1,4,7,8] => 0001000 => 1
[2,3,5,6,1,7,4,8] => 0001010 => 2
[2,3,5,6,7,1,4,8] => 0000100 => 1
[2,3,5,1,6,7,8,4] => 0010001 => 1
[2,3,5,6,1,7,8,4] => 0001001 => 1
[2,3,5,6,7,1,8,4] => 0000101 => 1
[2,3,5,6,7,8,1,4] => 0000010 => 1
[2,1,6,3,7,4,8,5] => 1010101 => 3
[2,6,1,3,7,4,8,5] => 0100101 => 2
[2,1,6,7,3,4,8,5] => 1001001 => 2
[2,6,1,7,3,4,8,5] => 0101001 => 2
[2,6,7,1,3,4,8,5] => 0010001 => 1
[2,1,6,3,7,8,4,5] => 1010010 => 3
[2,6,1,3,7,8,4,5] => 0100010 => 2
[2,1,6,7,3,8,4,5] => 1001010 => 3
[2,6,1,7,3,8,4,5] => 0101010 => 3
[2,1,6,7,8,3,4,5] => 1000100 => 2
[2,6,1,7,8,3,4,5] => 0100100 => 2
[2,6,7,1,8,3,4,5] => 0010100 => 2
[2,6,7,8,1,3,4,5] => 0001000 => 1
[2,1,6,3,7,4,5,8] => 1010100 => 3
[2,6,1,7,3,4,5,8] => 0101000 => 2
[2,6,7,1,3,4,5,8] => 0010000 => 1
[2,6,1,3,4,7,5,8] => 0100010 => 2
[2,3,1,6,4,7,5,8] => 0101010 => 3
[2,3,6,1,4,7,5,8] => 0010010 => 2
[2,3,6,7,1,4,5,8] => 0001000 => 1
[2,1,6,3,4,7,8,5] => 1010001 => 2
[2,6,1,3,4,7,8,5] => 0100001 => 1
[2,3,6,1,4,7,8,5] => 0010001 => 1
[2,1,3,6,7,4,8,5] => 1000101 => 2
[2,3,6,7,1,4,8,5] => 0001001 => 1
[2,1,3,6,7,8,4,5] => 1000010 => 2
[2,3,1,6,7,8,4,5] => 0100010 => 2
[2,3,6,1,7,8,4,5] => 0010010 => 2
[2,3,6,7,1,8,4,5] => 0001010 => 2
[2,3,6,7,8,1,4,5] => 0000100 => 1
[2,1,6,3,8,4,5,7] => 1010100 => 3
[2,6,1,3,8,4,5,7] => 0100100 => 2
[2,1,6,8,3,4,5,7] => 1001000 => 2
[2,6,1,8,3,4,5,7] => 0101000 => 2
[2,6,8,1,3,4,5,7] => 0010000 => 1
[2,1,6,3,4,8,5,7] => 1010010 => 3
[2,6,1,3,4,8,5,7] => 0100010 => 2
[2,3,1,6,4,8,5,7] => 0101010 => 3
[2,3,6,1,4,8,5,7] => 0010010 => 2
[2,3,1,6,8,4,5,7] => 0100100 => 2
[2,3,6,1,8,4,5,7] => 0010100 => 2
[2,3,6,8,1,4,5,7] => 0001000 => 1
[2,1,6,3,4,5,8,7] => 1010001 => 2
[2,6,1,3,4,5,8,7] => 0100001 => 1
[2,1,3,6,4,5,8,7] => 1001001 => 2
[2,3,6,1,4,5,8,7] => 0010001 => 1
[2,3,4,1,6,8,5,7] => 0010010 => 2
[2,3,4,6,1,8,5,7] => 0001010 => 2
[2,3,4,6,8,1,5,7] => 0000100 => 1
[2,6,1,3,4,5,7,8] => 0100000 => 1
[2,1,3,6,4,5,7,8] => 1001000 => 2
[2,3,1,6,4,5,7,8] => 0101000 => 2
[2,3,6,1,4,5,7,8] => 0010000 => 1
[2,3,4,6,1,5,7,8] => 0001000 => 1
[2,3,4,6,1,7,5,8] => 0001010 => 2
[2,3,4,6,7,1,5,8] => 0000100 => 1
[2,3,4,6,1,7,8,5] => 0001001 => 1
[2,3,4,6,7,8,1,5] => 0000010 => 1
[2,1,7,3,8,4,5,6] => 1010100 => 3
[2,7,1,3,8,4,5,6] => 0100100 => 2
[2,1,7,8,3,4,5,6] => 1001000 => 2
[2,7,1,8,3,4,5,6] => 0101000 => 2
[2,7,8,1,3,4,5,6] => 0010000 => 1
[2,1,7,3,4,8,5,6] => 1010010 => 3
[2,7,1,3,4,8,5,6] => 0100010 => 2
[2,1,3,7,4,8,5,6] => 1001010 => 3
[2,3,1,7,4,8,5,6] => 0101010 => 3
[2,3,7,1,4,8,5,6] => 0010010 => 2
[2,1,3,7,8,4,5,6] => 1000100 => 2
[2,3,1,7,8,4,5,6] => 0100100 => 2
[2,3,7,8,1,4,5,6] => 0001000 => 1
[2,1,7,3,4,5,8,6] => 1010001 => 2
[2,7,1,3,4,5,8,6] => 0100001 => 1
[2,3,1,7,4,5,8,6] => 0101001 => 2
[2,3,7,1,4,5,8,6] => 0010001 => 1
[2,1,3,4,7,5,8,6] => 1000101 => 2
[2,3,4,1,7,5,8,6] => 0010101 => 2
[2,3,4,7,1,5,8,6] => 0001001 => 1
[2,1,3,4,7,8,5,6] => 1000010 => 2
[2,3,1,4,7,8,5,6] => 0100010 => 2
[2,3,4,1,7,8,5,6] => 0010010 => 2
[2,3,4,7,1,8,5,6] => 0001010 => 2
[2,3,4,7,8,1,5,6] => 0000100 => 1
[2,1,7,3,4,5,6,8] => 1010000 => 2
[2,7,1,3,4,5,6,8] => 0100000 => 1
[2,3,7,1,4,5,6,8] => 0010000 => 1
[2,1,3,4,7,5,6,8] => 1000100 => 2
[2,3,1,4,7,5,6,8] => 0100100 => 2
[2,3,4,1,7,5,6,8] => 0010100 => 2
[2,3,4,7,1,5,6,8] => 0001000 => 1
[2,3,4,5,7,1,6,8] => 0000100 => 1
[2,3,4,5,7,1,8,6] => 0000101 => 1
[2,3,4,5,7,8,1,6] => 0000010 => 1
[2,1,8,3,4,5,6,7] => 1010000 => 2
[2,8,1,3,4,5,6,7] => 0100000 => 1
[2,1,3,8,4,5,6,7] => 1001000 => 2
[2,3,1,8,4,5,6,7] => 0101000 => 2
[2,3,8,1,4,5,6,7] => 0010000 => 1
[2,1,3,4,8,5,6,7] => 1000100 => 2
[2,3,1,4,8,5,6,7] => 0100100 => 2
[2,3,4,1,8,5,6,7] => 0010100 => 2
[2,3,4,8,1,5,6,7] => 0001000 => 1
[2,1,3,4,5,8,6,7] => 1000010 => 2
[2,3,1,4,5,8,6,7] => 0100010 => 2
[2,3,4,1,5,8,6,7] => 0010010 => 2
[2,3,4,5,1,8,6,7] => 0001010 => 2
[2,3,4,5,8,1,6,7] => 0000100 => 1
[2,3,4,5,6,8,1,7] => 0000010 => 1
[3,1,4,2,6,5,8,7] => 1010101 => 3
[3,4,1,2,6,5,8,7] => 0100101 => 2
[3,1,4,6,2,5,8,7] => 1001001 => 2
[3,4,1,6,2,5,8,7] => 0101001 => 2
[3,4,6,1,2,5,8,7] => 0010001 => 1
[3,1,4,2,6,8,5,7] => 1010010 => 3
[3,4,1,2,6,8,5,7] => 0100010 => 2
[3,1,4,6,2,8,5,7] => 1001010 => 3
[3,4,1,6,2,8,5,7] => 0101010 => 3
[3,1,4,6,8,2,5,7] => 1000100 => 2
[3,4,1,6,8,2,5,7] => 0100100 => 2
[3,4,6,8,1,2,5,7] => 0001000 => 1
[3,1,4,2,6,5,7,8] => 1010100 => 3
[3,4,1,2,6,5,7,8] => 0100100 => 2
[3,1,4,2,6,7,5,8] => 1010010 => 3
[3,4,1,2,6,7,5,8] => 0100010 => 2
[3,4,1,6,2,7,5,8] => 0101010 => 3
[3,4,6,1,2,7,5,8] => 0010010 => 2
[3,4,1,6,7,2,5,8] => 0100100 => 2
[3,4,6,7,1,2,5,8] => 0001000 => 1
[3,1,4,2,6,7,8,5] => 1010001 => 2
[3,4,1,2,6,7,8,5] => 0100001 => 1
[3,1,4,6,2,7,8,5] => 1001001 => 2
[3,4,1,6,2,7,8,5] => 0101001 => 2
[3,4,6,1,2,7,8,5] => 0010001 => 1
[3,1,4,6,7,2,8,5] => 1000101 => 2
[3,4,1,6,7,2,8,5] => 0100101 => 2
[3,4,6,1,7,2,8,5] => 0010101 => 2
[3,4,6,7,1,2,8,5] => 0001001 => 1
[3,1,4,6,7,8,2,5] => 1000010 => 2
[3,4,1,6,7,8,2,5] => 0100010 => 2
[3,4,6,1,7,8,2,5] => 0010010 => 2
[3,4,6,7,1,8,2,5] => 0001010 => 2
[3,4,6,7,8,1,2,5] => 0000100 => 1
[3,1,4,2,7,5,8,6] => 1010101 => 3
[3,4,1,2,7,5,8,6] => 0100101 => 2
[3,1,4,7,2,5,8,6] => 1001001 => 2
[3,4,1,7,2,5,8,6] => 0101001 => 2
[3,4,7,1,2,5,8,6] => 0010001 => 1
[3,1,4,2,7,8,5,6] => 1010010 => 3
[3,4,1,2,7,8,5,6] => 0100010 => 2
[3,1,4,7,2,8,5,6] => 1001010 => 3
[3,4,7,1,8,2,5,6] => 0010100 => 2
[3,4,7,8,1,2,5,6] => 0001000 => 1
[3,1,4,2,7,5,6,8] => 1010100 => 3
[3,4,1,2,7,5,6,8] => 0100100 => 2
[3,4,1,2,5,7,6,8] => 0100010 => 2
[3,1,4,5,2,7,6,8] => 1001010 => 3
[3,4,1,5,2,7,6,8] => 0101010 => 3
[3,4,1,5,7,2,6,8] => 0100100 => 2
[3,4,5,7,1,2,6,8] => 0001000 => 1
[3,1,4,2,5,7,8,6] => 1010001 => 2
[3,4,1,2,5,7,8,6] => 0100001 => 1
[3,1,4,5,2,7,8,6] => 1001001 => 2
[3,4,5,1,2,7,8,6] => 0010001 => 1
[3,1,4,5,7,2,8,6] => 1000101 => 2
[3,4,1,5,7,2,8,6] => 0100101 => 2
[3,4,5,7,1,2,8,6] => 0001001 => 1
[3,1,4,5,7,8,2,6] => 1000010 => 2
[3,4,1,5,7,8,2,6] => 0100010 => 2
[3,4,5,1,7,8,2,6] => 0010010 => 2
[3,4,5,7,1,8,2,6] => 0001010 => 2
[3,4,5,7,8,1,2,6] => 0000100 => 1
[3,1,4,2,8,5,6,7] => 1010100 => 3
[3,4,1,2,8,5,6,7] => 0100100 => 2
[3,1,4,8,2,5,6,7] => 1001000 => 2
[3,4,1,8,2,5,6,7] => 0101000 => 2
[3,4,8,1,2,5,6,7] => 0010000 => 1
[3,1,4,2,5,8,6,7] => 1010010 => 3
[3,4,1,2,5,8,6,7] => 0100010 => 2
[3,4,1,5,2,8,6,7] => 0101010 => 3
[3,4,5,1,2,8,6,7] => 0010010 => 2
[3,1,4,5,8,2,6,7] => 1000100 => 2
[3,4,1,5,8,2,6,7] => 0100100 => 2
[3,4,5,8,1,2,6,7] => 0001000 => 1
[3,4,1,2,5,6,8,7] => 0100001 => 1
[3,4,5,1,2,6,8,7] => 0010001 => 1
[3,1,4,5,6,2,8,7] => 1000101 => 2
[3,4,1,5,6,2,8,7] => 0100101 => 2
[3,4,5,1,6,2,8,7] => 0010101 => 2
[3,4,5,6,1,2,8,7] => 0001001 => 1
[3,1,4,5,6,8,2,7] => 1000010 => 2
[3,4,1,5,6,8,2,7] => 0100010 => 2
[3,4,5,6,1,8,2,7] => 0001010 => 2
[3,4,5,6,8,1,2,7] => 0000100 => 1
[3,1,4,2,5,6,7,8] => 1010000 => 2
[3,1,4,5,2,6,7,8] => 1001000 => 2
[3,4,1,5,2,6,7,8] => 0101000 => 2
[3,1,4,5,6,2,7,8] => 1000100 => 2
[3,4,1,5,6,2,7,8] => 0100100 => 2
[3,4,5,1,6,2,7,8] => 0010100 => 2
[3,1,4,5,6,7,2,8] => 1000010 => 2
[3,4,1,5,6,7,2,8] => 0100010 => 2
[3,4,5,1,6,7,2,8] => 0010010 => 2
[3,4,5,6,1,7,2,8] => 0001010 => 2
[3,1,4,5,6,7,8,2] => 1000001 => 1
[3,4,1,5,6,7,8,2] => 0100001 => 1
[3,4,5,1,6,7,8,2] => 0010001 => 1
[3,4,5,6,1,7,8,2] => 0001001 => 1
[3,4,5,6,7,1,8,2] => 0000101 => 1
[3,1,5,2,6,4,8,7] => 1010101 => 3
[3,5,1,2,6,4,8,7] => 0100101 => 2
[3,1,5,6,2,4,8,7] => 1001001 => 2
[3,5,1,6,2,4,8,7] => 0101001 => 2
[3,5,6,1,2,4,8,7] => 0010001 => 1
[3,1,5,2,6,8,4,7] => 1010010 => 3
[3,5,1,2,6,8,4,7] => 0100010 => 2
[3,1,5,6,2,8,4,7] => 1001010 => 3
[3,5,6,1,2,8,4,7] => 0010010 => 2
[3,1,5,6,8,2,4,7] => 1000100 => 2
[3,5,1,6,8,2,4,7] => 0100100 => 2
[3,5,6,1,8,2,4,7] => 0010100 => 2
[3,5,6,8,1,2,4,7] => 0001000 => 1
[3,1,5,6,2,4,7,8] => 1001000 => 2
[3,5,1,6,2,4,7,8] => 0101000 => 2
[3,5,6,1,2,4,7,8] => 0010000 => 1
[3,5,1,2,6,7,4,8] => 0100010 => 2
[3,5,1,6,2,7,4,8] => 0101010 => 3
[3,5,6,1,2,7,4,8] => 0010010 => 2
[3,5,1,6,7,2,4,8] => 0100100 => 2
[3,5,6,1,7,2,4,8] => 0010100 => 2
[3,5,6,7,1,2,4,8] => 0001000 => 1
[3,1,5,2,6,7,8,4] => 1010001 => 2
[3,5,1,2,6,7,8,4] => 0100001 => 1
[3,1,5,6,2,7,8,4] => 1001001 => 2
[3,5,1,6,2,7,8,4] => 0101001 => 2
[3,5,6,1,2,7,8,4] => 0010001 => 1
[3,1,5,6,7,2,8,4] => 1000101 => 2
[3,5,1,6,7,2,8,4] => 0100101 => 2
[3,5,6,1,7,2,8,4] => 0010101 => 2
[3,5,6,7,1,2,8,4] => 0001001 => 1
[3,1,5,6,7,8,2,4] => 1000010 => 2
[3,5,1,6,7,8,2,4] => 0100010 => 2
[3,5,6,1,7,8,2,4] => 0010010 => 2
[3,5,6,7,1,8,2,4] => 0001010 => 2
[3,5,6,7,8,1,2,4] => 0000100 => 1
[3,1,5,2,7,4,8,6] => 1010101 => 3
[3,5,1,2,7,4,8,6] => 0100101 => 2
[3,1,5,7,2,4,8,6] => 1001001 => 2
[3,5,1,7,2,4,8,6] => 0101001 => 2
[3,5,7,1,2,4,8,6] => 0010001 => 1
[3,1,5,2,7,8,4,6] => 1010010 => 3
[3,5,1,2,7,8,4,6] => 0100010 => 2
[3,1,5,7,2,8,4,6] => 1001010 => 3
[3,5,1,7,2,8,4,6] => 0101010 => 3
[3,1,5,7,8,2,4,6] => 1000100 => 2
[3,5,1,7,8,2,4,6] => 0100100 => 2
[3,5,7,8,1,2,4,6] => 0001000 => 1
[3,1,5,2,7,4,6,8] => 1010100 => 3
[3,5,1,2,7,4,6,8] => 0100100 => 2
[3,1,5,7,2,4,6,8] => 1001000 => 2
[3,5,1,7,2,4,6,8] => 0101000 => 2
[3,5,7,1,2,4,6,8] => 0010000 => 1
[3,1,5,2,4,7,6,8] => 1010010 => 3
[3,5,1,2,4,7,6,8] => 0100010 => 2
[3,1,2,5,4,7,6,8] => 1001010 => 3
[1,3,5,2,4,7,6,8] => 0010010 => 2
[3,1,2,5,7,4,6,8] => 1000100 => 2
[1,3,2,5,7,4,6,8] => 0100100 => 2
[1,3,5,2,7,4,6,8] => 0010100 => 2
[1,3,5,7,2,4,6,8] => 0001000 => 1
[3,1,5,2,4,7,8,6] => 1010001 => 2
[3,5,1,2,4,7,8,6] => 0100001 => 1
[1,3,5,2,4,7,8,6] => 0010001 => 1
[3,1,2,5,7,4,8,6] => 1000101 => 2
[1,3,2,5,7,4,8,6] => 0100101 => 2
[1,3,5,2,7,4,8,6] => 0010101 => 2
[1,3,5,7,2,4,8,6] => 0001001 => 1
[3,1,2,5,7,8,4,6] => 1000010 => 2
[1,3,2,5,7,8,4,6] => 0100010 => 2
[1,3,5,2,7,8,4,6] => 0010010 => 2
[1,3,5,7,2,8,4,6] => 0001010 => 2
[1,3,5,7,8,2,4,6] => 0000100 => 1
[3,1,5,2,8,4,6,7] => 1010100 => 3
[3,5,1,2,8,4,6,7] => 0100100 => 2
[3,1,5,8,2,4,6,7] => 1001000 => 2
[3,5,1,8,2,4,6,7] => 0101000 => 2
[3,1,5,2,4,8,6,7] => 1010010 => 3
[3,5,1,2,4,8,6,7] => 0100010 => 2
[1,3,2,5,4,8,6,7] => 0101010 => 3
[1,3,5,2,4,8,6,7] => 0010010 => 2
[3,1,2,5,8,4,6,7] => 1000100 => 2
[1,3,2,5,8,4,6,7] => 0100100 => 2
[1,3,5,2,8,4,6,7] => 0010100 => 2
[1,3,5,8,2,4,6,7] => 0001000 => 1
[3,1,5,2,4,6,8,7] => 1010001 => 2
[3,5,1,2,4,6,8,7] => 0100001 => 1
[3,1,2,5,4,6,8,7] => 1001001 => 2
[1,3,5,2,4,6,8,7] => 0010001 => 1
[1,3,5,6,2,4,8,7] => 0001001 => 1
[3,1,2,5,6,8,4,7] => 1000010 => 2
[1,3,5,2,6,8,4,7] => 0010010 => 2
[1,3,5,6,2,8,4,7] => 0001010 => 2
[1,3,5,6,8,2,4,7] => 0000100 => 1
[3,1,5,2,4,6,7,8] => 1010000 => 2
[3,5,1,2,4,6,7,8] => 0100000 => 1
[1,3,5,2,4,6,7,8] => 0010000 => 1
[3,1,2,5,6,4,7,8] => 1000100 => 2
[1,3,5,2,6,4,7,8] => 0010100 => 2
[1,3,5,6,2,4,7,8] => 0001000 => 1
[3,1,2,5,6,7,4,8] => 1000010 => 2
[1,3,5,2,6,7,4,8] => 0010010 => 2
[1,3,5,6,2,7,4,8] => 0001010 => 2
[1,3,5,6,7,2,4,8] => 0000100 => 1
[3,1,2,5,6,7,8,4] => 1000001 => 1
[1,3,5,2,6,7,8,4] => 0010001 => 1
[1,3,5,6,2,7,8,4] => 0001001 => 1
[1,3,5,6,7,2,8,4] => 0000101 => 1
[1,3,5,6,7,8,2,4] => 0000010 => 1
[3,1,6,2,7,4,8,5] => 1010101 => 3
[3,6,1,2,7,4,8,5] => 0100101 => 2
[3,6,1,7,2,4,8,5] => 0101001 => 2
[3,6,7,1,2,4,8,5] => 0010001 => 1
[3,6,1,2,7,8,4,5] => 0100010 => 2
[3,1,6,7,2,8,4,5] => 1001010 => 3
[3,6,1,7,2,8,4,5] => 0101010 => 3
[3,6,7,1,2,8,4,5] => 0010010 => 2
[3,6,1,7,8,2,4,5] => 0100100 => 2
[3,6,7,8,1,2,4,5] => 0001000 => 1
[3,1,6,2,7,4,5,8] => 1010100 => 3
[3,1,6,7,2,4,5,8] => 1001000 => 2
[3,6,7,1,2,4,5,8] => 0010000 => 1
[3,1,6,2,4,7,5,8] => 1010010 => 3
[3,6,1,2,4,7,5,8] => 0100010 => 2
[3,1,2,6,4,7,5,8] => 1001010 => 3
[1,3,2,6,4,7,5,8] => 0101010 => 3
[1,3,6,2,4,7,5,8] => 0010010 => 2
[1,3,2,6,7,4,5,8] => 0100100 => 2
[1,3,6,2,7,4,5,8] => 0010100 => 2
[3,1,6,2,4,7,8,5] => 1010001 => 2
[3,6,1,2,4,7,8,5] => 0100001 => 1
[3,1,2,6,4,7,8,5] => 1001001 => 2
[1,3,2,6,4,7,8,5] => 0101001 => 2
[1,3,6,2,4,7,8,5] => 0010001 => 1
[3,1,2,6,7,4,8,5] => 1000101 => 2
[1,3,2,6,7,4,8,5] => 0100101 => 2
[1,3,6,2,7,4,8,5] => 0010101 => 2
[3,1,2,6,7,8,4,5] => 1000010 => 2
[1,3,2,6,7,8,4,5] => 0100010 => 2
[1,3,6,2,7,8,4,5] => 0010010 => 2
[1,3,6,7,8,2,4,5] => 0000100 => 1
[3,1,6,2,8,4,5,7] => 1010100 => 3
[3,1,6,8,2,4,5,7] => 1001000 => 2
[3,6,1,8,2,4,5,7] => 0101000 => 2
[3,6,8,1,2,4,5,7] => 0010000 => 1
[3,1,6,2,4,8,5,7] => 1010010 => 3
[3,6,1,2,4,8,5,7] => 0100010 => 2
[1,3,2,6,4,8,5,7] => 0101010 => 3
[1,3,6,2,4,8,5,7] => 0010010 => 2
[3,1,2,6,8,4,5,7] => 1000100 => 2
[1,3,2,6,8,4,5,7] => 0100100 => 2
[3,1,6,2,4,5,8,7] => 1010001 => 2
[3,6,1,2,4,5,8,7] => 0100001 => 1
[3,1,2,6,4,5,8,7] => 1001001 => 2
[1,3,6,2,4,5,8,7] => 0010001 => 1
[3,1,2,4,6,5,8,7] => 1000101 => 2
[1,3,4,6,2,5,8,7] => 0001001 => 1
[3,1,2,4,6,8,5,7] => 1000010 => 2
[1,3,2,4,6,8,5,7] => 0100010 => 2
[1,3,4,6,8,2,5,7] => 0000100 => 1
[3,1,6,2,4,5,7,8] => 1010000 => 2
[3,6,1,2,4,5,7,8] => 0100000 => 1
[1,3,2,6,4,5,7,8] => 0101000 => 2
[1,3,6,2,4,5,7,8] => 0010000 => 1
[1,3,4,6,2,5,7,8] => 0001000 => 1
[3,1,2,4,6,7,5,8] => 1000010 => 2
[1,3,4,6,2,7,5,8] => 0001010 => 2
[1,3,4,6,7,2,5,8] => 0000100 => 1
[3,1,2,4,6,7,8,5] => 1000001 => 1
[1,3,4,6,7,2,8,5] => 0000101 => 1
[1,3,4,6,7,8,2,5] => 0000010 => 1
[3,1,7,2,8,4,5,6] => 1010100 => 3
[3,7,1,2,8,4,5,6] => 0100100 => 2
[3,1,7,8,2,4,5,6] => 1001000 => 2
[3,7,1,8,2,4,5,6] => 0101000 => 2
[3,7,8,1,2,4,5,6] => 0010000 => 1
[3,7,1,2,4,8,5,6] => 0100010 => 2
[3,1,2,7,4,8,5,6] => 1001010 => 3
[1,3,2,7,4,8,5,6] => 0101010 => 3
[1,3,7,2,4,8,5,6] => 0010010 => 2
[3,1,2,7,8,4,5,6] => 1000100 => 2
[1,3,7,2,8,4,5,6] => 0010100 => 2
[1,3,7,8,2,4,5,6] => 0001000 => 1
[3,1,7,2,4,5,8,6] => 1010001 => 2
[3,7,1,2,4,5,8,6] => 0100001 => 1
[1,3,7,2,4,5,8,6] => 0010001 => 1
[3,1,2,4,7,5,8,6] => 1000101 => 2
[1,3,2,4,7,5,8,6] => 0100101 => 2
[1,3,4,2,7,5,8,6] => 0010101 => 2
[3,1,2,4,7,8,5,6] => 1000010 => 2
[1,3,2,4,7,8,5,6] => 0100010 => 2
[1,3,4,2,7,8,5,6] => 0010010 => 2
[1,3,4,7,8,2,5,6] => 0000100 => 1
[3,1,7,2,4,5,6,8] => 1010000 => 2
[3,7,1,2,4,5,6,8] => 0100000 => 1
[1,3,2,7,4,5,6,8] => 0101000 => 2
[1,3,7,2,4,5,6,8] => 0010000 => 1
[3,1,2,4,7,5,6,8] => 1000100 => 2
[1,3,4,7,2,5,6,8] => 0001000 => 1
[3,1,2,4,5,7,6,8] => 1000010 => 2
[1,3,4,5,7,2,6,8] => 0000100 => 1
[3,1,2,4,5,7,8,6] => 1000001 => 1
[1,3,4,5,7,2,8,6] => 0000101 => 1
[1,3,4,5,7,8,2,6] => 0000010 => 1
[3,1,8,2,4,5,6,7] => 1010000 => 2
[3,8,1,2,4,5,6,7] => 0100000 => 1
[3,1,2,8,4,5,6,7] => 1001000 => 2
[1,3,2,8,4,5,6,7] => 0101000 => 2
[1,3,8,2,4,5,6,7] => 0010000 => 1
[3,1,2,4,8,5,6,7] => 1000100 => 2
[1,3,2,4,8,5,6,7] => 0100100 => 2
[1,3,4,2,8,5,6,7] => 0010100 => 2
[1,3,4,8,2,5,6,7] => 0001000 => 1
[3,1,2,4,5,8,6,7] => 1000010 => 2
[1,3,2,4,5,8,6,7] => 0100010 => 2
[1,3,4,2,5,8,6,7] => 0010010 => 2
[1,3,4,5,2,8,6,7] => 0001010 => 2
[1,3,4,5,8,2,6,7] => 0000100 => 1
[3,1,2,4,5,6,8,7] => 1000001 => 1
[1,3,4,5,6,8,2,7] => 0000010 => 1
[4,1,5,2,6,3,8,7] => 1010101 => 3
[4,5,1,2,6,3,8,7] => 0100101 => 2
[4,1,5,6,2,3,8,7] => 1001001 => 2
[4,5,1,6,2,3,8,7] => 0101001 => 2
[4,5,6,1,2,3,8,7] => 0010001 => 1
[4,1,5,2,6,8,3,7] => 1010010 => 3
[4,5,1,2,6,8,3,7] => 0100010 => 2
[4,1,5,6,2,8,3,7] => 1001010 => 3
[4,5,1,6,2,8,3,7] => 0101010 => 3
[4,5,6,1,2,8,3,7] => 0010010 => 2
[4,1,5,6,8,2,3,7] => 1000100 => 2
[4,5,1,6,8,2,3,7] => 0100100 => 2
[4,5,6,1,8,2,3,7] => 0010100 => 2
[4,5,6,8,1,2,3,7] => 0001000 => 1
[4,1,5,2,6,3,7,8] => 1010100 => 3
[4,1,5,6,2,3,7,8] => 1001000 => 2
[4,5,1,6,2,3,7,8] => 0101000 => 2
[4,5,1,2,6,7,3,8] => 0100010 => 2
[4,5,1,6,2,7,3,8] => 0101010 => 3
[4,5,6,1,2,7,3,8] => 0010010 => 2
[4,1,5,6,7,2,3,8] => 1000100 => 2
[4,5,1,6,7,2,3,8] => 0100100 => 2
[4,5,6,1,7,2,3,8] => 0010100 => 2
[4,1,5,2,6,7,8,3] => 1010001 => 2
[4,5,1,2,6,7,8,3] => 0100001 => 1
[4,5,1,6,2,7,8,3] => 0101001 => 2
[4,5,6,1,2,7,8,3] => 0010001 => 1
[4,1,5,6,7,2,8,3] => 1000101 => 2
[4,5,1,6,7,2,8,3] => 0100101 => 2
[4,5,6,1,7,2,8,3] => 0010101 => 2
[4,5,6,7,1,2,8,3] => 0001001 => 1
[4,1,5,6,7,8,2,3] => 1000010 => 2
[4,5,1,6,7,8,2,3] => 0100010 => 2
[4,5,6,1,7,8,2,3] => 0010010 => 2
[4,5,6,7,1,8,2,3] => 0001010 => 2
[4,1,5,2,7,3,8,6] => 1010101 => 3
[4,5,1,7,2,3,8,6] => 0101001 => 2
[4,5,7,1,2,3,8,6] => 0010001 => 1
[4,1,5,2,7,8,3,6] => 1010010 => 3
[4,5,1,2,7,8,3,6] => 0100010 => 2
[4,1,5,7,2,8,3,6] => 1001010 => 3
[4,5,1,7,2,8,3,6] => 0101010 => 3
[4,5,7,1,2,8,3,6] => 0010010 => 2
[4,5,1,7,8,2,3,6] => 0100100 => 2
[4,5,7,8,1,2,3,6] => 0001000 => 1
[4,1,5,2,7,3,6,8] => 1010100 => 3
[4,5,1,2,7,3,6,8] => 0100100 => 2
[4,1,5,7,2,3,6,8] => 1001000 => 2
[4,5,1,7,2,3,6,8] => 0101000 => 2
[4,1,5,2,3,7,6,8] => 1010010 => 3
[4,5,1,2,3,7,6,8] => 0100010 => 2
[4,1,2,5,3,7,6,8] => 1001010 => 3
[1,4,2,5,3,7,6,8] => 0101010 => 3
[1,4,5,2,3,7,6,8] => 0010010 => 2
[4,1,2,5,7,3,6,8] => 1000100 => 2
[1,4,2,5,7,3,6,8] => 0100100 => 2
[1,4,5,2,7,3,6,8] => 0010100 => 2
[1,4,5,7,2,3,6,8] => 0001000 => 1
[4,1,5,2,3,7,8,6] => 1010001 => 2
[4,1,2,5,3,7,8,6] => 1001001 => 2
[1,4,2,5,3,7,8,6] => 0101001 => 2
[1,4,5,2,3,7,8,6] => 0010001 => 1
[4,1,2,5,7,3,8,6] => 1000101 => 2
[1,4,2,5,7,3,8,6] => 0100101 => 2
[1,4,5,2,7,3,8,6] => 0010101 => 2
[1,4,5,7,2,3,8,6] => 0001001 => 1
[4,1,2,5,7,8,3,6] => 1000010 => 2
[1,4,2,5,7,8,3,6] => 0100010 => 2
[1,4,5,2,7,8,3,6] => 0010010 => 2
[1,4,5,7,8,2,3,6] => 0000100 => 1
[4,1,5,2,8,3,6,7] => 1010100 => 3
[4,5,1,2,8,3,6,7] => 0100100 => 2
[4,1,5,8,2,3,6,7] => 1001000 => 2
[4,5,1,8,2,3,6,7] => 0101000 => 2
[4,5,8,1,2,3,6,7] => 0010000 => 1
[4,1,5,2,3,8,6,7] => 1010010 => 3
[4,5,1,2,3,8,6,7] => 0100010 => 2
[4,1,2,5,3,8,6,7] => 1001010 => 3
[1,4,2,5,3,8,6,7] => 0101010 => 3
[1,4,5,2,3,8,6,7] => 0010010 => 2
[4,1,2,5,8,3,6,7] => 1000100 => 2
[1,4,2,5,8,3,6,7] => 0100100 => 2
[1,4,5,2,8,3,6,7] => 0010100 => 2
[1,4,5,8,2,3,6,7] => 0001000 => 1
[1,4,2,5,3,6,8,7] => 0101001 => 2
[4,1,2,5,6,3,8,7] => 1000101 => 2
[1,4,5,2,6,3,8,7] => 0010101 => 2
[1,4,5,6,2,3,8,7] => 0001001 => 1
[4,1,2,5,6,8,3,7] => 1000010 => 2
[1,4,2,5,6,8,3,7] => 0100010 => 2
[1,4,5,2,6,8,3,7] => 0010010 => 2
[1,4,5,6,2,8,3,7] => 0001010 => 2
[1,4,5,6,8,2,3,7] => 0000100 => 1
[4,1,5,2,3,6,7,8] => 1010000 => 2
[4,1,2,5,3,6,7,8] => 1001000 => 2
[1,4,2,5,3,6,7,8] => 0101000 => 2
[1,4,5,2,3,6,7,8] => 0010000 => 1
[4,1,2,5,6,3,7,8] => 1000100 => 2
[1,4,5,2,6,3,7,8] => 0010100 => 2
[1,4,5,6,2,3,7,8] => 0001000 => 1
[4,1,2,5,6,7,3,8] => 1000010 => 2
[1,4,2,5,6,7,3,8] => 0100010 => 2
[1,4,5,2,6,7,3,8] => 0010010 => 2
[1,4,5,6,2,7,3,8] => 0001010 => 2
[1,4,5,6,7,2,3,8] => 0000100 => 1
[4,1,2,5,6,7,8,3] => 1000001 => 1
[1,4,2,5,6,7,8,3] => 0100001 => 1
[1,4,5,2,6,7,8,3] => 0010001 => 1
[1,4,5,6,2,7,8,3] => 0001001 => 1
[1,4,5,6,7,2,8,3] => 0000101 => 1
[1,4,5,6,7,8,2,3] => 0000010 => 1
[4,1,6,2,7,3,8,5] => 1010101 => 3
[4,1,6,7,2,3,8,5] => 1001001 => 2
[4,6,7,1,2,3,8,5] => 0010001 => 1
[4,6,1,2,7,8,3,5] => 0100010 => 2
[4,6,1,7,2,8,3,5] => 0101010 => 3
[4,6,7,1,2,8,3,5] => 0010010 => 2
[4,1,6,7,8,2,3,5] => 1000100 => 2
[4,6,1,7,8,2,3,5] => 0100100 => 2
[4,6,7,1,8,2,3,5] => 0010100 => 2
[4,6,7,8,1,2,3,5] => 0001000 => 1
[4,1,6,2,7,3,5,8] => 1010100 => 3
[4,6,1,2,7,3,5,8] => 0100100 => 2
[4,1,6,7,2,3,5,8] => 1001000 => 2
[4,6,1,7,2,3,5,8] => 0101000 => 2
[4,6,7,1,2,3,5,8] => 0010000 => 1
[4,1,6,2,3,7,5,8] => 1010010 => 3
[4,6,1,2,3,7,5,8] => 0100010 => 2
[4,1,2,6,3,7,5,8] => 1001010 => 3
[1,4,2,6,3,7,5,8] => 0101010 => 3
[4,1,2,6,7,3,5,8] => 1000100 => 2
[1,4,2,6,7,3,5,8] => 0100100 => 2
[1,4,6,2,7,3,5,8] => 0010100 => 2
[1,4,6,7,2,3,5,8] => 0001000 => 1
[4,1,6,2,3,7,8,5] => 1010001 => 2
[4,1,2,6,3,7,8,5] => 1001001 => 2
[1,4,6,2,3,7,8,5] => 0010001 => 1
[4,1,2,6,7,3,8,5] => 1000101 => 2
[1,4,6,2,7,3,8,5] => 0010101 => 2
[1,4,6,7,2,3,8,5] => 0001001 => 1
[1,4,2,6,7,8,3,5] => 0100010 => 2
[1,4,6,2,7,8,3,5] => 0010010 => 2
[1,4,6,7,2,8,3,5] => 0001010 => 2
[1,4,6,7,8,2,3,5] => 0000100 => 1
[4,1,6,2,8,3,5,7] => 1010100 => 3
[4,6,1,2,8,3,5,7] => 0100100 => 2
[4,1,6,8,2,3,5,7] => 1001000 => 2
[4,6,1,8,2,3,5,7] => 0101000 => 2
[4,6,8,1,2,3,5,7] => 0010000 => 1
[4,1,6,2,3,8,5,7] => 1010010 => 3
[4,6,1,2,3,8,5,7] => 0100010 => 2
[4,1,2,6,3,8,5,7] => 1001010 => 3
[1,4,2,6,3,8,5,7] => 0101010 => 3
[1,4,6,2,3,8,5,7] => 0010010 => 2
[1,4,2,6,8,3,5,7] => 0100100 => 2
[1,4,6,2,8,3,5,7] => 0010100 => 2
[1,4,6,8,2,3,5,7] => 0001000 => 1
[4,1,6,2,3,5,8,7] => 1010001 => 2
[4,6,1,2,3,5,8,7] => 0100001 => 1
[4,1,2,6,3,5,8,7] => 1001001 => 2
[1,4,2,6,3,5,8,7] => 0101001 => 2
[1,4,6,2,3,5,8,7] => 0010001 => 1
[4,1,2,3,6,5,8,7] => 1000101 => 2
[1,4,2,3,6,5,8,7] => 0100101 => 2
[1,2,4,6,3,5,8,7] => 0001001 => 1
[4,1,2,3,6,8,5,7] => 1000010 => 2
[1,2,4,3,6,8,5,7] => 0010010 => 2
[1,2,4,6,8,3,5,7] => 0000100 => 1
[4,1,6,2,3,5,7,8] => 1010000 => 2
[4,6,1,2,3,5,7,8] => 0100000 => 1
[1,4,2,6,3,5,7,8] => 0101000 => 2
[1,4,6,2,3,5,7,8] => 0010000 => 1
[4,1,2,3,6,5,7,8] => 1000100 => 2
[1,4,2,3,6,5,7,8] => 0100100 => 2
[1,2,4,6,3,5,7,8] => 0001000 => 1
[4,1,2,3,6,7,5,8] => 1000010 => 2
[1,4,2,3,6,7,5,8] => 0100010 => 2
[1,2,4,6,7,3,5,8] => 0000100 => 1
[4,1,2,3,6,7,8,5] => 1000001 => 1
[1,4,2,3,6,7,8,5] => 0100001 => 1
[1,2,4,6,7,3,8,5] => 0000101 => 1
[1,2,4,6,7,8,3,5] => 0000010 => 1
[4,1,7,2,8,3,5,6] => 1010100 => 3
[4,7,1,2,8,3,5,6] => 0100100 => 2
[4,1,7,8,2,3,5,6] => 1001000 => 2
[4,7,1,8,2,3,5,6] => 0101000 => 2
[4,7,8,1,2,3,5,6] => 0010000 => 1
[4,7,1,2,3,8,5,6] => 0100010 => 2
[1,4,2,7,3,8,5,6] => 0101010 => 3
[1,4,7,2,3,8,5,6] => 0010010 => 2
[4,1,2,7,8,3,5,6] => 1000100 => 2
[1,4,2,7,8,3,5,6] => 0100100 => 2
[1,4,7,2,8,3,5,6] => 0010100 => 2
[1,4,7,8,2,3,5,6] => 0001000 => 1
[4,1,7,2,3,5,8,6] => 1010001 => 2
[4,7,1,2,3,5,8,6] => 0100001 => 1
[4,1,2,7,3,5,8,6] => 1001001 => 2
[1,4,2,7,3,5,8,6] => 0101001 => 2
[1,4,7,2,3,5,8,6] => 0010001 => 1
[4,1,2,3,7,5,8,6] => 1000101 => 2
[1,4,2,3,7,5,8,6] => 0100101 => 2
[1,2,4,3,7,5,8,6] => 0010101 => 2
[1,2,4,7,3,5,8,6] => 0001001 => 1
[4,1,2,3,7,8,5,6] => 1000010 => 2
[1,4,2,3,7,8,5,6] => 0100010 => 2
[1,2,4,3,7,8,5,6] => 0010010 => 2
[1,2,4,7,3,8,5,6] => 0001010 => 2
[1,2,4,7,8,3,5,6] => 0000100 => 1
[4,1,7,2,3,5,6,8] => 1010000 => 2
[4,7,1,2,3,5,6,8] => 0100000 => 1
[4,1,2,7,3,5,6,8] => 1001000 => 2
[1,4,2,7,3,5,6,8] => 0101000 => 2
[1,4,7,2,3,5,6,8] => 0010000 => 1
[4,1,2,3,7,5,6,8] => 1000100 => 2
[1,4,2,3,7,5,6,8] => 0100100 => 2
[1,2,4,3,7,5,6,8] => 0010100 => 2
[1,2,4,7,3,5,6,8] => 0001000 => 1
[4,1,2,3,5,7,6,8] => 1000010 => 2
[1,4,2,3,5,7,6,8] => 0100010 => 2
[1,2,4,5,7,3,6,8] => 0000100 => 1
[4,1,2,3,5,7,8,6] => 1000001 => 1
[1,4,2,3,5,7,8,6] => 0100001 => 1
[1,2,4,5,7,3,8,6] => 0000101 => 1
[1,2,4,5,7,8,3,6] => 0000010 => 1
[4,1,8,2,3,5,6,7] => 1010000 => 2
[4,8,1,2,3,5,6,7] => 0100000 => 1
[4,1,2,8,3,5,6,7] => 1001000 => 2
[1,4,2,8,3,5,6,7] => 0101000 => 2
[1,4,8,2,3,5,6,7] => 0010000 => 1
[4,1,2,3,8,5,6,7] => 1000100 => 2
[1,4,2,3,8,5,6,7] => 0100100 => 2
[1,2,4,3,8,5,6,7] => 0010100 => 2
[1,2,4,8,3,5,6,7] => 0001000 => 1
[4,1,2,3,5,8,6,7] => 1000010 => 2
[1,4,2,3,5,8,6,7] => 0100010 => 2
[1,2,4,3,5,8,6,7] => 0010010 => 2
[1,2,4,5,3,8,6,7] => 0001010 => 2
[1,2,4,5,8,3,6,7] => 0000100 => 1
[4,1,2,3,5,6,8,7] => 1000001 => 1
[1,4,2,3,5,6,8,7] => 0100001 => 1
[1,2,4,5,6,8,3,7] => 0000010 => 1
[1,4,2,3,5,6,7,8] => 0100000 => 1
[5,1,6,2,7,3,8,4] => 1010101 => 3
[5,6,1,2,7,3,8,4] => 0100101 => 2
[5,1,6,7,2,3,8,4] => 1001001 => 2
[5,6,1,7,2,3,8,4] => 0101001 => 2
[5,6,7,1,2,3,8,4] => 0010001 => 1
[5,6,1,2,7,8,3,4] => 0100010 => 2
[5,1,6,7,2,8,3,4] => 1001010 => 3
[5,6,7,1,2,8,3,4] => 0010010 => 2
[5,1,6,7,8,2,3,4] => 1000100 => 2
[5,6,1,7,8,2,3,4] => 0100100 => 2
[5,6,7,1,8,2,3,4] => 0010100 => 2
[5,1,6,2,7,3,4,8] => 1010100 => 3
[5,6,1,2,7,3,4,8] => 0100100 => 2
[5,6,1,7,2,3,4,8] => 0101000 => 2
[5,1,6,2,3,7,4,8] => 1010010 => 3
[5,1,2,6,3,7,4,8] => 1001010 => 3
[1,5,2,6,3,7,4,8] => 0101010 => 3
[5,1,2,6,7,3,4,8] => 1000100 => 2
[1,5,2,6,7,3,4,8] => 0100100 => 2
[1,5,6,2,7,3,4,8] => 0010100 => 2
[1,5,6,7,2,3,4,8] => 0001000 => 1
[5,1,6,2,3,7,8,4] => 1010001 => 2
[5,6,1,2,3,7,8,4] => 0100001 => 1
[5,1,2,6,3,7,8,4] => 1001001 => 2
[1,5,2,6,3,7,8,4] => 0101001 => 2
[1,5,6,2,3,7,8,4] => 0010001 => 1
[5,1,2,6,7,3,8,4] => 1000101 => 2
[1,5,6,7,2,3,8,4] => 0001001 => 1
[5,1,2,6,7,8,3,4] => 1000010 => 2
[1,5,2,6,7,8,3,4] => 0100010 => 2
[1,5,6,2,7,8,3,4] => 0010010 => 2
[1,5,6,7,2,8,3,4] => 0001010 => 2
[1,5,6,7,8,2,3,4] => 0000100 => 1
[5,1,6,2,8,3,4,7] => 1010100 => 3
[5,6,1,2,8,3,4,7] => 0100100 => 2
[5,6,1,8,2,3,4,7] => 0101000 => 2
[5,6,8,1,2,3,4,7] => 0010000 => 1
[5,1,6,2,3,8,4,7] => 1010010 => 3
[5,6,1,2,3,8,4,7] => 0100010 => 2
[5,1,2,6,3,8,4,7] => 1001010 => 3
[1,5,2,6,3,8,4,7] => 0101010 => 3
[1,5,6,2,3,8,4,7] => 0010010 => 2
[5,1,2,6,8,3,4,7] => 1000100 => 2
[1,5,2,6,8,3,4,7] => 0100100 => 2
[1,5,6,2,8,3,4,7] => 0010100 => 2
[1,5,6,8,2,3,4,7] => 0001000 => 1
[5,1,6,2,3,4,8,7] => 1010001 => 2
[5,6,1,2,3,4,8,7] => 0100001 => 1
[5,1,2,6,3,4,8,7] => 1001001 => 2
[1,5,2,6,3,4,8,7] => 0101001 => 2
[1,5,6,2,3,4,8,7] => 0010001 => 1
[1,5,2,3,6,4,8,7] => 0100101 => 2
[1,2,5,3,6,4,8,7] => 0010101 => 2
[1,2,5,6,3,4,8,7] => 0001001 => 1
[5,1,2,3,6,8,4,7] => 1000010 => 2
[1,5,2,3,6,8,4,7] => 0100010 => 2
[1,2,5,6,3,8,4,7] => 0001010 => 2
[5,1,6,2,3,4,7,8] => 1010000 => 2
[5,1,2,6,3,4,7,8] => 1001000 => 2
[1,5,2,6,3,4,7,8] => 0101000 => 2
[1,5,6,2,3,4,7,8] => 0010000 => 1
[5,1,2,3,6,4,7,8] => 1000100 => 2
[1,5,2,3,6,4,7,8] => 0100100 => 2
[1,2,5,3,6,4,7,8] => 0010100 => 2
[1,2,5,6,3,4,7,8] => 0001000 => 1
[5,1,2,3,6,7,4,8] => 1000010 => 2
[1,5,2,3,6,7,4,8] => 0100010 => 2
[1,2,5,3,6,7,4,8] => 0010010 => 2
[1,2,5,6,3,7,4,8] => 0001010 => 2
[5,1,2,3,6,7,8,4] => 1000001 => 1
[1,5,2,3,6,7,8,4] => 0100001 => 1
[1,2,5,3,6,7,8,4] => 0010001 => 1
[1,2,5,6,3,7,8,4] => 0001001 => 1
[1,2,5,6,7,3,8,4] => 0000101 => 1
[1,2,5,6,7,8,3,4] => 0000010 => 1
[5,1,7,2,8,3,4,6] => 1010100 => 3
[5,7,1,2,8,3,4,6] => 0100100 => 2
[5,1,7,8,2,3,4,6] => 1001000 => 2
[5,7,1,8,2,3,4,6] => 0101000 => 2
[5,7,8,1,2,3,4,6] => 0010000 => 1
[5,1,7,2,3,8,4,6] => 1010010 => 3
[5,7,1,2,3,8,4,6] => 0100010 => 2
[5,1,2,7,3,8,4,6] => 1001010 => 3
[1,5,2,7,3,8,4,6] => 0101010 => 3
[1,5,7,2,3,8,4,6] => 0010010 => 2
[5,1,2,7,8,3,4,6] => 1000100 => 2
[1,5,2,7,8,3,4,6] => 0100100 => 2
[1,5,7,2,8,3,4,6] => 0010100 => 2
[1,5,7,8,2,3,4,6] => 0001000 => 1
[5,1,7,2,3,4,8,6] => 1010001 => 2
[5,7,1,2,3,4,8,6] => 0100001 => 1
[5,1,2,7,3,4,8,6] => 1001001 => 2
[1,5,2,7,3,4,8,6] => 0101001 => 2
[1,5,7,2,3,4,8,6] => 0010001 => 1
[5,1,2,3,7,4,8,6] => 1000101 => 2
[1,5,2,3,7,4,8,6] => 0100101 => 2
[1,2,5,3,7,4,8,6] => 0010101 => 2
[1,2,5,7,3,4,8,6] => 0001001 => 1
[5,1,2,3,7,8,4,6] => 1000010 => 2
[1,5,2,3,7,8,4,6] => 0100010 => 2
[1,2,5,7,3,8,4,6] => 0001010 => 2
[1,2,5,7,8,3,4,6] => 0000100 => 1
[5,7,1,2,3,4,6,8] => 0100000 => 1
[5,1,2,7,3,4,6,8] => 1001000 => 2
[1,5,2,7,3,4,6,8] => 0101000 => 2
[1,5,7,2,3,4,6,8] => 0010000 => 1
[1,5,2,3,7,4,6,8] => 0100100 => 2
[1,2,5,3,7,4,6,8] => 0010100 => 2
[1,2,5,7,3,4,6,8] => 0001000 => 1
[1,5,2,3,4,7,6,8] => 0100010 => 2
[1,2,5,3,4,7,6,8] => 0010010 => 2
[1,2,3,5,7,4,6,8] => 0000100 => 1
[5,1,2,3,4,7,8,6] => 1000001 => 1
[1,5,2,3,4,7,8,6] => 0100001 => 1
[1,2,5,3,4,7,8,6] => 0010001 => 1
[1,2,3,5,7,4,8,6] => 0000101 => 1
[1,2,3,5,7,8,4,6] => 0000010 => 1
[5,1,8,2,3,4,6,7] => 1010000 => 2
[5,8,1,2,3,4,6,7] => 0100000 => 1
[5,1,2,8,3,4,6,7] => 1001000 => 2
[1,5,2,8,3,4,6,7] => 0101000 => 2
[1,5,8,2,3,4,6,7] => 0010000 => 1
[5,1,2,3,8,4,6,7] => 1000100 => 2
[1,5,2,3,8,4,6,7] => 0100100 => 2
[1,2,5,3,8,4,6,7] => 0010100 => 2
[1,2,5,8,3,4,6,7] => 0001000 => 1
[5,1,2,3,4,8,6,7] => 1000010 => 2
[1,5,2,3,4,8,6,7] => 0100010 => 2
[1,2,5,3,4,8,6,7] => 0010010 => 2
[1,2,3,5,4,8,6,7] => 0001010 => 2
[1,2,3,5,8,4,6,7] => 0000100 => 1
[5,1,2,3,4,6,8,7] => 1000001 => 1
[1,5,2,3,4,6,8,7] => 0100001 => 1
[1,2,5,3,4,6,8,7] => 0010001 => 1
[1,2,3,5,6,8,4,7] => 0000010 => 1
[1,5,2,3,4,6,7,8] => 0100000 => 1
[1,2,5,3,4,6,7,8] => 0010000 => 1
[6,1,7,2,8,3,4,5] => 1010100 => 3
[6,7,1,2,8,3,4,5] => 0100100 => 2
[6,1,7,8,2,3,4,5] => 1001000 => 2
[6,7,1,8,2,3,4,5] => 0101000 => 2
[6,1,7,2,3,8,4,5] => 1010010 => 3
[6,7,1,2,3,8,4,5] => 0100010 => 2
[6,1,2,7,3,8,4,5] => 1001010 => 3
[1,6,2,7,3,8,4,5] => 0101010 => 3
[1,6,7,2,3,8,4,5] => 0010010 => 2
[6,1,2,7,8,3,4,5] => 1000100 => 2
[1,6,2,7,8,3,4,5] => 0100100 => 2
[1,6,7,2,8,3,4,5] => 0010100 => 2
[1,6,7,8,2,3,4,5] => 0001000 => 1
[6,1,7,2,3,4,8,5] => 1010001 => 2
[6,7,1,2,3,4,8,5] => 0100001 => 1
[6,1,2,7,3,4,8,5] => 1001001 => 2
[1,6,2,7,3,4,8,5] => 0101001 => 2
[1,6,7,2,3,4,8,5] => 0010001 => 1
[6,1,2,3,7,4,8,5] => 1000101 => 2
[1,6,2,3,7,4,8,5] => 0100101 => 2
[1,2,6,3,7,4,8,5] => 0010101 => 2
[6,1,2,3,7,8,4,5] => 1000010 => 2
[1,6,2,3,7,8,4,5] => 0100010 => 2
[1,2,6,3,7,8,4,5] => 0010010 => 2
[1,2,6,7,3,8,4,5] => 0001010 => 2
[1,2,6,7,8,3,4,5] => 0000100 => 1
[6,1,7,2,3,4,5,8] => 1010000 => 2
[6,1,2,7,3,4,5,8] => 1001000 => 2
[1,6,2,7,3,4,5,8] => 0101000 => 2
[1,6,7,2,3,4,5,8] => 0010000 => 1
[6,1,2,3,7,4,5,8] => 1000100 => 2
[1,6,2,3,7,4,5,8] => 0100100 => 2
[1,2,6,3,7,4,5,8] => 0010100 => 2
[1,2,6,7,3,4,5,8] => 0001000 => 1
[6,1,2,3,4,7,5,8] => 1000010 => 2
[1,6,2,3,4,7,5,8] => 0100010 => 2
[1,2,6,3,4,7,5,8] => 0010010 => 2
[1,2,3,6,4,7,5,8] => 0001010 => 2
[1,2,3,6,7,4,5,8] => 0000100 => 1
[6,1,2,3,4,7,8,5] => 1000001 => 1
[1,6,2,3,4,7,8,5] => 0100001 => 1
[1,2,6,3,4,7,8,5] => 0010001 => 1
[1,2,3,6,4,7,8,5] => 0001001 => 1
[1,2,3,6,7,4,8,5] => 0000101 => 1
[1,2,3,6,7,8,4,5] => 0000010 => 1
[6,1,8,2,3,4,5,7] => 1010000 => 2
[6,8,1,2,3,4,5,7] => 0100000 => 1
[6,1,2,8,3,4,5,7] => 1001000 => 2
[1,6,2,8,3,4,5,7] => 0101000 => 2
[1,6,8,2,3,4,5,7] => 0010000 => 1
[6,1,2,3,8,4,5,7] => 1000100 => 2
[1,6,2,3,8,4,5,7] => 0100100 => 2
[1,2,6,3,8,4,5,7] => 0010100 => 2
[1,2,6,8,3,4,5,7] => 0001000 => 1
[6,1,2,3,4,8,5,7] => 1000010 => 2
[1,6,2,3,4,8,5,7] => 0100010 => 2
[1,2,6,3,4,8,5,7] => 0010010 => 2
[1,2,3,6,4,8,5,7] => 0001010 => 2
[1,2,3,6,8,4,5,7] => 0000100 => 1
[6,1,2,3,4,5,8,7] => 1000001 => 1
[1,6,2,3,4,5,8,7] => 0100001 => 1
[1,2,6,3,4,5,8,7] => 0010001 => 1
[1,2,3,6,4,5,8,7] => 0001001 => 1
[1,2,3,4,6,8,5,7] => 0000010 => 1
[1,6,2,3,4,5,7,8] => 0100000 => 1
[1,2,6,3,4,5,7,8] => 0010000 => 1
[1,2,3,6,4,5,7,8] => 0001000 => 1
[7,1,8,2,3,4,5,6] => 1010000 => 2
[7,1,2,8,3,4,5,6] => 1001000 => 2
[1,7,2,8,3,4,5,6] => 0101000 => 2
[1,7,8,2,3,4,5,6] => 0010000 => 1
[7,1,2,3,8,4,5,6] => 1000100 => 2
[1,7,2,3,8,4,5,6] => 0100100 => 2
[1,2,7,3,8,4,5,6] => 0010100 => 2
[1,2,7,8,3,4,5,6] => 0001000 => 1
[7,1,2,3,4,8,5,6] => 1000010 => 2
[1,7,2,3,4,8,5,6] => 0100010 => 2
[1,2,7,3,4,8,5,6] => 0010010 => 2
[1,2,3,7,4,8,5,6] => 0001010 => 2
[1,2,3,7,8,4,5,6] => 0000100 => 1
[7,1,2,3,4,5,8,6] => 1000001 => 1
[1,7,2,3,4,5,8,6] => 0100001 => 1
[1,2,7,3,4,5,8,6] => 0010001 => 1
[1,2,3,7,4,5,8,6] => 0001001 => 1
[1,2,3,4,7,5,8,6] => 0000101 => 1
[1,2,3,4,7,8,5,6] => 0000010 => 1
[1,7,2,3,4,5,6,8] => 0100000 => 1
[1,2,7,3,4,5,6,8] => 0010000 => 1
[1,2,3,7,4,5,6,8] => 0001000 => 1
[1,2,3,4,7,5,6,8] => 0000100 => 1
[1,8,2,3,4,5,6,7] => 0100000 => 1
[1,2,8,3,4,5,6,7] => 0010000 => 1
[1,2,3,8,4,5,6,7] => 0001000 => 1
[1,2,3,4,8,5,6,7] => 0000100 => 1
[1,2,3,4,5,8,6,7] => 0000010 => 1
[5,3,2,6,1,4,8,7] => 1101001 => 2
[7,3,2,5,4,8,1,6] => 1101010 => 3
[8,4,5,2,3,7,6,1] => 1010011 => 2
[7,4,5,2,3,8,1,6] => 1010010 => 3
[6,4,5,2,3,1,8,7] => 1010101 => 3
[5,4,6,2,1,3,8,7] => 1011001 => 2
[3,6,1,5,4,2,8,7] => 0101101 => 2
[4,6,5,1,3,2,8,7] => 0110101 => 2
[5,6,4,3,1,2,8,7] => 0111001 => 1
[7,5,4,3,2,8,1,6] => 1111010 => 2
[8,6,4,3,7,2,5,1] => 1110101 => 2
[7,6,4,3,8,2,1,5] => 1110110 => 2
[6,7,4,3,8,1,2,5] => 0110100 => 2
[5,7,4,3,1,8,2,6] => 0111010 => 2
[4,7,5,1,3,8,2,6] => 0110010 => 2
[3,7,1,5,4,8,2,6] => 0101010 => 3
[2,1,7,5,4,8,3,6] => 1011010 => 3
[3,8,1,5,4,7,6,2] => 0101011 => 2
[4,8,5,1,3,7,6,2] => 0110011 => 1
[5,8,4,3,1,7,6,2] => 0111011 => 1
[6,8,4,3,7,1,5,2] => 0110101 => 2
[7,8,4,3,6,5,1,2] => 0110110 => 2
[6,8,5,7,3,1,4,2] => 0101101 => 2
[5,8,6,7,1,3,4,2] => 0101001 => 2
[4,8,6,1,7,3,5,2] => 0110101 => 2
[3,8,1,6,7,4,5,2] => 0100101 => 2
[2,1,8,6,7,4,5,3] => 1010101 => 3
[2,1,7,6,8,4,3,5] => 1010110 => 3
[3,7,1,6,8,4,2,5] => 0100110 => 2
[4,7,6,1,8,3,2,5] => 0110110 => 2
[5,7,6,8,1,3,2,4] => 0101010 => 3
[5,4,7,2,1,8,3,6] => 1011010 => 3
[6,4,7,2,8,1,3,5] => 1010100 => 3
[7,4,6,2,8,3,1,5] => 1010110 => 3
[8,4,6,2,7,3,5,1] => 1010101 => 3
[8,3,2,6,7,4,5,1] => 1100101 => 2
[7,3,2,6,8,4,1,5] => 1100110 => 2
[6,3,2,7,8,1,4,5] => 1100100 => 2
[5,3,2,7,1,8,4,6] => 1101010 => 3
[4,3,2,1,7,8,5,6] => 1110010 => 2
[3,4,1,2,8,7,6,5] => 0100111 => 1
[5,3,2,8,1,7,6,4] => 1101011 => 2
[6,3,2,8,7,1,5,4] => 1101101 => 2
[7,3,2,8,6,5,1,4] => 1101110 => 2
[8,4,7,2,6,5,3,1] => 1010111 => 2
[7,4,8,2,6,5,1,3] => 1010110 => 3
[6,4,8,2,7,1,5,3] => 1010101 => 3
[5,4,8,2,1,7,6,3] => 1011011 => 2
[4,5,8,1,2,7,6,3] => 0010011 => 1
[3,5,1,8,2,7,6,4] => 0101011 => 2
[2,1,5,8,3,7,6,4] => 1001011 => 2
[2,1,6,8,7,3,5,4] => 1001101 => 2
[3,6,1,8,7,2,5,4] => 0101101 => 2
[4,6,8,1,7,2,5,3] => 0010101 => 2
[5,6,8,7,1,2,4,3] => 0011001 => 1
[6,5,8,7,2,1,4,3] => 1011101 => 2
[7,5,8,6,2,4,1,3] => 1011010 => 3
[8,5,7,6,2,4,3,1] => 1011011 => 2
[5,7,8,6,1,4,2,3] => 0011010 => 2
[4,7,8,1,6,5,2,3] => 0010110 => 2
[3,7,1,8,6,5,2,4] => 0101110 => 2
[2,1,7,8,6,5,3,4] => 1001110 => 2
[3,8,1,7,6,5,4,2] => 0101111 => 1
[4,8,7,1,6,5,3,2] => 0110111 => 1
[5,8,7,6,1,4,3,2] => 0111011 => 1
[6,8,7,5,4,1,3,2] => 0111101 => 1
[2,1,4,3,6,5,8,7,10,9] => 101010101 => 4
[3,4,1,2,6,5,8,7,10,9] => 010010101 => 3
[4,3,2,1,6,5,8,7,10,9] => 111010101 => 3
[6,3,2,5,4,1,8,7,10,9] => 110110101 => 3
[8,3,2,5,4,7,6,1,10,9] => 110101101 => 3
[10,3,2,5,4,7,6,9,8,1] => 110101011 => 3
[4,5,6,1,2,3,8,7,10,9] => 001000101 => 2
[3,5,1,6,2,4,8,7,10,9] => 010100101 => 3
[2,1,5,6,3,4,8,7,10,9] => 100100101 => 3
[2,1,6,5,4,3,8,7,10,9] => 101110101 => 3
[6,5,4,3,2,1,8,7,10,9] => 111110101 => 2
[8,5,4,3,2,7,6,1,10,9] => 111101101 => 2
[10,5,4,3,2,7,6,9,8,1] => 111101011 => 2
[2,1,8,5,4,7,6,3,10,9] => 101101101 => 3
[8,7,4,3,6,5,2,1,10,9] => 111011101 => 2
[10,7,4,3,6,5,2,9,8,1] => 111011011 => 2
[2,1,10,5,4,7,6,9,8,3] => 101101011 => 3
[10,9,4,3,6,5,8,7,2,1] => 111010111 => 2
[8,9,5,6,3,4,10,1,2,7] => 010100100 => 3
[5,6,7,8,1,2,3,4,10,9] => 000100001 => 1
[4,6,7,1,8,2,3,5,10,9] => 001010001 => 2
[3,6,1,7,8,2,4,5,10,9] => 010010001 => 2
[2,1,6,7,8,3,4,5,10,9] => 100010001 => 2
[2,1,5,7,3,8,4,6,10,9] => 100101001 => 3
[3,5,1,7,2,8,4,6,10,9] => 010101001 => 3
[4,5,7,1,2,8,3,6,10,9] => 001001001 => 2
[3,4,1,2,7,8,5,6,10,9] => 010001001 => 2
[2,1,4,3,7,8,5,6,10,9] => 101001001 => 3
[2,1,4,3,8,7,6,5,10,9] => 101011101 => 3
[4,3,2,1,8,7,6,5,10,9] => 111011101 => 2
[8,3,2,7,6,5,4,1,10,9] => 110111101 => 2
[10,3,2,7,6,5,4,9,8,1] => 110111011 => 2
[2,1,8,7,6,5,4,3,10,9] => 101111101 => 2
[8,7,6,5,4,3,2,1,10,9] => 111111101 => 1
[9,7,6,5,4,3,2,10,1,8] => 111111010 => 2
[10,7,6,5,4,3,2,9,8,1] => 111111011 => 1
[2,1,10,7,6,5,4,9,8,3] => 101111011 => 2
[10,9,6,5,4,3,8,7,2,1] => 111110111 => 1
[2,1,4,3,10,7,6,9,8,5] => 101011011 => 3
[4,3,2,1,10,7,6,9,8,5] => 111011011 => 2
[10,3,2,9,6,5,8,7,4,1] => 110110111 => 2
[2,1,10,9,6,5,8,7,4,3] => 101110111 => 2
[10,9,8,5,4,7,6,3,2,1] => 111101111 => 1
[10,8,9,6,7,4,5,2,3,1] => 101010101 => 4
[2,1,7,8,9,10,3,4,5,6] => 100001000 => 2
[3,7,1,8,9,10,2,4,5,6] => 010001000 => 2
[4,7,8,1,9,10,2,3,5,6] => 001001000 => 2
[5,7,8,9,1,10,2,3,4,6] => 000101000 => 2
[6,7,8,9,10,1,2,3,4,5] => 000010000 => 1
[5,6,8,9,1,2,10,3,4,7] => 000100100 => 2
[4,6,8,1,9,2,10,3,5,7] => 001010100 => 3
[3,6,1,8,9,2,10,4,5,7] => 010010100 => 3
[2,1,6,8,9,3,10,4,5,7] => 100010100 => 3
[2,1,5,8,3,9,10,4,6,7] => 100100100 => 3
[3,5,1,8,2,9,10,4,6,7] => 010100100 => 3
[4,5,8,1,2,9,10,3,6,7] => 001000100 => 2
[7,3,2,8,9,10,1,4,5,6] => 110001000 => 2
[3,4,1,2,8,9,10,5,6,7] => 010000100 => 2
[2,1,4,3,8,9,10,5,6,7] => 101000100 => 3
[2,1,4,3,7,9,5,10,6,8] => 101001010 => 4
[3,4,1,2,7,9,5,10,6,8] => 010001010 => 3
[4,5,7,1,2,9,3,10,6,8] => 001001010 => 3
[3,5,1,7,2,9,4,10,6,8] => 010101010 => 4
[2,1,5,7,3,9,4,10,6,8] => 100101010 => 4
[2,1,6,7,9,3,4,10,5,8] => 100010010 => 3
[3,6,1,7,9,2,4,10,5,8] => 010010010 => 3
[4,6,7,1,9,2,3,10,5,8] => 001010010 => 3
[5,6,7,9,1,2,3,10,4,8] => 000100010 => 2
[8,5,4,3,2,9,10,1,6,7] => 111100100 => 2
[2,1,5,6,3,4,9,10,7,8] => 100100010 => 3
[3,5,1,6,2,4,9,10,7,8] => 010100010 => 3
[4,5,6,1,2,3,9,10,7,8] => 001000010 => 2
[3,4,1,2,6,5,9,10,7,8] => 010010010 => 3
[2,1,4,3,6,5,9,10,7,8] => 101010010 => 4
[2,1,4,3,6,5,10,9,8,7] => 101010111 => 3
[4,3,2,1,6,5,10,9,8,7] => 111010111 => 2
[6,3,2,5,4,1,10,9,8,7] => 110110111 => 2
[10,3,2,5,4,9,8,7,6,1] => 110101111 => 2
[2,1,6,5,4,3,10,9,8,7] => 101110111 => 2
[6,5,4,3,2,1,10,9,8,7] => 111110111 => 1
[10,5,4,3,2,9,8,7,6,1] => 111101111 => 1
[2,1,10,5,4,9,8,7,6,3] => 101101111 => 2
[10,9,4,3,8,7,6,5,2,1] => 111011111 => 1
[9,7,5,10,3,8,2,6,1,4] => 110101010 => 4
[2,1,4,3,10,9,8,7,6,5] => 101011111 => 2
[4,3,2,1,10,9,8,7,6,5] => 111011111 => 1
[10,3,2,9,8,7,6,5,4,1] => 110111111 => 1
[2,1,10,9,8,7,6,5,4,3] => 101111111 => 1
[9,10,8,7,6,5,4,3,1,2] => 011111110 => 1
[10,9,8,7,6,5,4,3,2,1] => 111111111 => 0
[3,2,5,1,4,6,7,8] => 1010000 => 2
[4,2,5,1,3,6,7,8] => 1010000 => 2
[5,2,4,1,3,6,7,8] => 1010000 => 2
[3,2,6,1,4,5,7,8] => 1010000 => 2
[4,2,6,1,3,5,7,8] => 1010000 => 2
[5,3,6,1,2,4,7,8] => 1010000 => 2
[6,2,4,1,3,5,7,8] => 1010000 => 2
[6,3,5,1,2,4,7,8] => 1010000 => 2
[5,2,7,1,3,4,6,8] => 1010000 => 2
[5,3,7,1,2,4,6,8] => 1010000 => 2
[5,4,7,1,2,3,6,8] => 1010000 => 2
[6,2,7,1,3,4,5,8] => 1010000 => 2
[6,3,7,1,2,4,5,8] => 1010000 => 2
[6,4,7,1,2,3,5,8] => 1010000 => 2
[7,3,5,1,2,4,6,8] => 1010000 => 2
[7,3,6,1,2,4,5,8] => 1010000 => 2
[7,4,6,1,2,3,5,8] => 1010000 => 2
[3,2,8,1,4,5,6,7] => 1010000 => 2
[4,2,8,1,3,5,6,7] => 1010000 => 2
[5,2,8,1,3,4,6,7] => 1010000 => 2
[5,4,8,1,2,3,6,7] => 1010000 => 2
[6,2,8,1,3,4,5,7] => 1010000 => 2
[6,3,8,1,2,4,5,7] => 1010000 => 2
[6,4,8,1,2,3,5,7] => 1010000 => 2
[6,5,8,1,2,3,4,7] => 1010000 => 2
[7,2,8,1,3,4,5,6] => 1010000 => 2
[7,3,8,1,2,4,5,6] => 1010000 => 2
[7,4,8,1,2,3,5,6] => 1010000 => 2
[7,5,8,1,2,3,4,6] => 1010000 => 2
[8,2,4,1,3,5,6,7] => 1010000 => 2
[8,3,5,1,2,4,6,7] => 1010000 => 2
[8,3,6,1,2,4,5,7] => 1010000 => 2
[8,3,7,1,2,4,5,6] => 1010000 => 2
[8,4,7,1,2,3,5,6] => 1010000 => 2
[8,5,7,1,2,3,4,6] => 1010000 => 2
[3,2,5,7,1,4,6,8] => 1001000 => 2
[4,2,5,7,1,3,6,8] => 1001000 => 2
[4,3,5,7,1,2,6,8] => 1001000 => 2
[5,2,4,7,1,3,6,8] => 1001000 => 2
[5,3,4,7,1,2,6,8] => 1001000 => 2
[4,2,6,7,1,3,5,8] => 1001000 => 2
[5,2,6,7,1,3,4,8] => 1001000 => 2
[5,3,6,7,1,2,4,8] => 1001000 => 2
[6,2,5,7,1,3,4,8] => 1001000 => 2
[6,3,5,7,1,2,4,8] => 1001000 => 2
[7,2,4,6,1,3,5,8] => 1001000 => 2
[7,3,4,6,1,2,5,8] => 1001000 => 2
[7,3,5,6,1,2,4,8] => 1001000 => 2
[3,2,5,8,1,4,6,7] => 1001000 => 2
[4,2,5,8,1,3,6,7] => 1001000 => 2
[4,3,5,8,1,2,6,7] => 1001000 => 2
[5,2,4,8,1,3,6,7] => 1001000 => 2
[3,2,6,8,1,4,5,7] => 1001000 => 2
[4,2,6,8,1,3,5,7] => 1001000 => 2
[4,3,6,8,1,2,5,7] => 1001000 => 2
[5,2,6,8,1,3,4,7] => 1001000 => 2
[6,2,4,8,1,3,5,7] => 1001000 => 2
[6,3,4,8,1,2,5,7] => 1001000 => 2
[6,2,5,8,1,3,4,7] => 1001000 => 2
[6,3,5,8,1,2,4,7] => 1001000 => 2
[6,4,5,8,1,2,3,7] => 1001000 => 2
[3,2,7,8,1,4,5,6] => 1001000 => 2
[4,3,7,8,1,2,5,6] => 1001000 => 2
[5,3,7,8,1,2,4,6] => 1001000 => 2
[6,2,7,8,1,3,4,5] => 1001000 => 2
[6,3,7,8,1,2,4,5] => 1001000 => 2
[6,4,7,8,1,2,3,5] => 1001000 => 2
[7,2,4,8,1,3,5,6] => 1001000 => 2
[7,3,4,8,1,2,5,6] => 1001000 => 2
[7,3,5,8,1,2,4,6] => 1001000 => 2
[7,4,5,8,1,2,3,6] => 1001000 => 2
[7,4,6,8,1,2,3,5] => 1001000 => 2
[8,2,4,6,1,3,5,7] => 1001000 => 2
[8,3,4,6,1,2,5,7] => 1001000 => 2
[8,2,5,6,1,3,4,7] => 1001000 => 2
[8,3,5,6,1,2,4,7] => 1001000 => 2
[8,2,4,7,1,3,5,6] => 1001000 => 2
[8,2,5,7,1,3,4,6] => 1001000 => 2
[8,3,5,7,1,2,4,6] => 1001000 => 2
[8,2,6,7,1,3,4,5] => 1001000 => 2
[8,4,6,7,1,2,3,5] => 1001000 => 2
[3,6,2,5,1,4,7,8] => 0101000 => 2
[4,6,2,5,1,3,7,8] => 0101000 => 2
[4,6,3,5,1,2,7,8] => 0101000 => 2
[3,7,2,5,1,4,6,8] => 0101000 => 2
[4,7,3,5,1,2,6,8] => 0101000 => 2
[5,7,2,4,1,3,6,8] => 0101000 => 2
[5,7,3,4,1,2,6,8] => 0101000 => 2
[3,7,2,6,1,4,5,8] => 0101000 => 2
[4,7,3,6,1,2,5,8] => 0101000 => 2
[5,7,2,6,1,3,4,8] => 0101000 => 2
[5,7,3,6,1,2,4,8] => 0101000 => 2
[6,7,2,5,1,3,4,8] => 0101000 => 2
[4,8,2,5,1,3,6,7] => 0101000 => 2
[5,8,2,4,1,3,6,7] => 0101000 => 2
[5,8,3,4,1,2,6,7] => 0101000 => 2
[3,8,2,6,1,4,5,7] => 0101000 => 2
[4,8,2,6,1,3,5,7] => 0101000 => 2
[5,8,3,6,1,2,4,7] => 0101000 => 2
[5,8,4,6,1,2,3,7] => 0101000 => 2
[6,8,2,4,1,3,5,7] => 0101000 => 2
[6,8,3,4,1,2,5,7] => 0101000 => 2
[6,8,3,5,1,2,4,7] => 0101000 => 2
[6,8,4,5,1,2,3,7] => 0101000 => 2
[3,8,2,7,1,4,5,6] => 0101000 => 2
[4,8,2,7,1,3,5,6] => 0101000 => 2
[4,8,3,7,1,2,5,6] => 0101000 => 2
[5,8,2,7,1,3,4,6] => 0101000 => 2
[5,8,3,7,1,2,4,6] => 0101000 => 2
[5,8,4,7,1,2,3,6] => 0101000 => 2
[6,8,2,7,1,3,4,5] => 0101000 => 2
[6,8,3,7,1,2,4,5] => 0101000 => 2
[6,8,5,7,1,2,3,4] => 0101000 => 2
[7,8,2,4,1,3,5,6] => 0101000 => 2
[7,8,2,5,1,3,4,6] => 0101000 => 2
[7,8,3,5,1,2,4,6] => 0101000 => 2
[7,8,4,6,1,2,3,5] => 0101000 => 2
[4,3,2,6,1,5,7,8] => 1101000 => 2
[5,3,2,6,1,4,7,8] => 1101000 => 2
[6,3,2,5,1,4,7,8] => 1101000 => 2
[6,4,2,5,1,3,7,8] => 1101000 => 2
[6,5,2,4,1,3,7,8] => 1101000 => 2
[4,3,2,7,1,5,6,8] => 1101000 => 2
[5,3,2,7,1,4,6,8] => 1101000 => 2
[5,4,3,7,1,2,6,8] => 1101000 => 2
[6,3,2,7,1,4,5,8] => 1101000 => 2
[6,4,2,7,1,3,5,8] => 1101000 => 2
[6,4,3,7,1,2,5,8] => 1101000 => 2
[6,5,3,7,1,2,4,8] => 1101000 => 2
[7,3,2,5,1,4,6,8] => 1101000 => 2
[7,4,2,5,1,3,6,8] => 1101000 => 2
[7,3,2,6,1,4,5,8] => 1101000 => 2
[7,4,2,6,1,3,5,8] => 1101000 => 2
[7,4,3,6,1,2,5,8] => 1101000 => 2
[7,5,2,6,1,3,4,8] => 1101000 => 2
[7,5,3,6,1,2,4,8] => 1101000 => 2
[7,6,3,5,1,2,4,8] => 1101000 => 2
[4,3,2,8,1,5,6,7] => 1101000 => 2
[5,3,2,8,1,4,6,7] => 1101000 => 2
[5,4,3,8,1,2,6,7] => 1101000 => 2
[6,3,2,8,1,4,5,7] => 1101000 => 2
[6,4,2,8,1,3,5,7] => 1101000 => 2
[6,4,3,8,1,2,5,7] => 1101000 => 2
[6,5,2,8,1,3,4,7] => 1101000 => 2
[6,5,3,8,1,2,4,7] => 1101000 => 2
[6,5,4,8,1,2,3,7] => 1101000 => 2
[7,3,2,8,1,4,5,6] => 1101000 => 2
[7,4,2,8,1,3,5,6] => 1101000 => 2
[7,4,3,8,1,2,5,6] => 1101000 => 2
[7,5,3,8,1,2,4,6] => 1101000 => 2
[7,5,4,8,1,2,3,6] => 1101000 => 2
[7,6,2,8,1,3,4,5] => 1101000 => 2
[8,3,2,5,1,4,6,7] => 1101000 => 2
[8,4,2,5,1,3,6,7] => 1101000 => 2
[8,3,2,6,1,4,5,7] => 1101000 => 2
[8,4,2,6,1,3,5,7] => 1101000 => 2
[8,5,3,6,1,2,4,7] => 1101000 => 2
[8,6,2,4,1,3,5,7] => 1101000 => 2
[8,6,2,5,1,3,4,7] => 1101000 => 2
[8,3,2,7,1,4,5,6] => 1101000 => 2
[8,4,2,7,1,3,5,6] => 1101000 => 2
[8,4,3,7,1,2,5,6] => 1101000 => 2
[8,5,2,7,1,3,4,6] => 1101000 => 2
[8,5,3,7,1,2,4,6] => 1101000 => 2
[8,5,4,7,1,2,3,6] => 1101000 => 2
[8,6,3,7,1,2,4,5] => 1101000 => 2
[8,7,2,4,1,3,5,6] => 1101000 => 2
[8,7,2,5,1,3,4,6] => 1101000 => 2
[8,7,3,5,1,2,4,6] => 1101000 => 2
[8,7,2,6,1,3,4,5] => 1101000 => 2
[8,7,3,6,1,2,4,5] => 1101000 => 2
[8,7,4,6,1,2,3,5] => 1101000 => 2
[3,6,2,5,8,1,4,7] => 0100100 => 2
[4,6,3,5,8,1,2,7] => 0100100 => 2
[5,6,2,4,8,1,3,7] => 0100100 => 2
[4,7,2,5,8,1,3,6] => 0100100 => 2
[4,7,3,5,8,1,2,6] => 0100100 => 2
[5,7,2,4,8,1,3,6] => 0100100 => 2
[5,7,3,4,8,1,2,6] => 0100100 => 2
[3,7,2,6,8,1,4,5] => 0100100 => 2
[4,7,3,6,8,1,2,5] => 0100100 => 2
[5,7,2,6,8,1,3,4] => 0100100 => 2
[5,7,4,6,8,1,2,3] => 0100100 => 2
[6,7,3,4,8,1,2,5] => 0100100 => 2
[6,7,3,5,8,1,2,4] => 0100100 => 2
[3,8,2,5,7,1,4,6] => 0100100 => 2
[4,8,2,5,7,1,3,6] => 0100100 => 2
[4,8,3,5,7,1,2,6] => 0100100 => 2
[5,8,2,4,7,1,3,6] => 0100100 => 2
[3,8,2,6,7,1,4,5] => 0100100 => 2
[4,8,3,6,7,1,2,5] => 0100100 => 2
[5,8,2,6,7,1,3,4] => 0100100 => 2
[5,8,3,6,7,1,2,4] => 0100100 => 2
[6,8,2,5,7,1,3,4] => 0100100 => 2
[6,8,3,5,7,1,2,4] => 0100100 => 2
[6,8,4,5,7,1,2,3] => 0100100 => 2
[7,8,2,4,6,1,3,5] => 0100100 => 2
[7,8,2,5,6,1,3,4] => 0100100 => 2
[7,8,3,5,6,1,2,4] => 0100100 => 2
[4,3,2,6,8,1,5,7] => 1100100 => 2
[5,3,2,6,8,1,4,7] => 1100100 => 2
[5,4,2,6,8,1,3,7] => 1100100 => 2
[5,4,3,6,8,1,2,7] => 1100100 => 2
[6,3,2,5,8,1,4,7] => 1100100 => 2
[6,4,3,5,8,1,2,7] => 1100100 => 2
[6,5,2,4,8,1,3,7] => 1100100 => 2
[4,3,2,7,8,1,5,6] => 1100100 => 2
[5,3,2,7,8,1,4,6] => 1100100 => 2
[5,4,2,7,8,1,3,6] => 1100100 => 2
[5,4,3,7,8,1,2,6] => 1100100 => 2
[6,4,2,7,8,1,3,5] => 1100100 => 2
[6,4,3,7,8,1,2,5] => 1100100 => 2
[6,5,2,7,8,1,3,4] => 1100100 => 2
[7,4,2,5,8,1,3,6] => 1100100 => 2
[7,4,3,5,8,1,2,6] => 1100100 => 2
[7,5,3,4,8,1,2,6] => 1100100 => 2
[7,3,2,6,8,1,4,5] => 1100100 => 2
[7,5,2,6,8,1,3,4] => 1100100 => 2
[7,5,3,6,8,1,2,4] => 1100100 => 2
[7,6,2,4,8,1,3,5] => 1100100 => 2
[7,6,3,5,8,1,2,4] => 1100100 => 2
[8,3,2,5,7,1,4,6] => 1100100 => 2
[8,4,2,5,7,1,3,6] => 1100100 => 2
[8,5,2,4,7,1,3,6] => 1100100 => 2
[8,3,2,6,7,1,4,5] => 1100100 => 2
[8,4,2,6,7,1,3,5] => 1100100 => 2
[8,5,2,6,7,1,3,4] => 1100100 => 2
[8,5,3,6,7,1,2,4] => 1100100 => 2
[8,6,2,4,7,1,3,5] => 1100100 => 2
[8,6,3,5,7,1,2,4] => 1100100 => 2
[8,7,2,4,6,1,3,5] => 1100100 => 2
[8,7,3,4,6,1,2,5] => 1100100 => 2
[8,7,2,5,6,1,3,4] => 1100100 => 2
[8,7,3,5,6,1,2,4] => 1100100 => 2
[4,3,7,2,6,1,5,8] => 1010100 => 3
[5,3,7,2,6,1,4,8] => 1010100 => 3
[5,4,7,2,6,1,3,8] => 1010100 => 3
[6,3,7,2,5,1,4,8] => 1010100 => 3
[6,4,7,2,5,1,3,8] => 1010100 => 3
[6,4,7,3,5,1,2,8] => 1010100 => 3
[7,3,6,2,5,1,4,8] => 1010100 => 3
[4,3,8,2,6,1,5,7] => 1010100 => 3
[5,3,8,2,6,1,4,7] => 1010100 => 3
[5,4,8,2,6,1,3,7] => 1010100 => 3
[5,4,8,3,6,1,2,7] => 1010100 => 3
[6,4,8,2,5,1,3,7] => 1010100 => 3
[6,4,8,3,5,1,2,7] => 1010100 => 3
[6,5,8,2,4,1,3,7] => 1010100 => 3
[6,5,8,3,4,1,2,7] => 1010100 => 3
[4,3,8,2,7,1,5,6] => 1010100 => 3
[5,3,8,2,7,1,4,6] => 1010100 => 3
[5,4,8,2,7,1,3,6] => 1010100 => 3
[5,4,8,3,7,1,2,6] => 1010100 => 3
[6,3,8,2,7,1,4,5] => 1010100 => 3
[6,4,8,2,7,1,3,5] => 1010100 => 3
[6,4,8,3,7,1,2,5] => 1010100 => 3
[7,3,8,2,5,1,4,6] => 1010100 => 3
[7,4,8,3,5,1,2,6] => 1010100 => 3
[7,5,8,2,4,1,3,6] => 1010100 => 3
[7,5,8,3,4,1,2,6] => 1010100 => 3
[7,3,8,2,6,1,4,5] => 1010100 => 3
[7,4,8,2,6,1,3,5] => 1010100 => 3
[7,5,8,2,6,1,3,4] => 1010100 => 3
[7,5,8,3,6,1,2,4] => 1010100 => 3
[7,5,8,4,6,1,2,3] => 1010100 => 3
[7,6,8,2,5,1,3,4] => 1010100 => 3
[7,6,8,3,5,1,2,4] => 1010100 => 3
[8,3,6,2,5,1,4,7] => 1010100 => 3
[8,5,6,2,4,1,3,7] => 1010100 => 3
[8,3,7,2,5,1,4,6] => 1010100 => 3
[8,5,7,2,4,1,3,6] => 1010100 => 3
[8,3,7,2,6,1,4,5] => 1010100 => 3
[8,4,7,2,6,1,3,5] => 1010100 => 3
[8,4,7,3,6,1,2,5] => 1010100 => 3
[8,5,7,2,6,1,3,4] => 1010100 => 3
[8,6,7,2,4,1,3,5] => 1010100 => 3
[8,6,7,2,5,1,3,4] => 1010100 => 3
[8,6,7,3,5,1,2,4] => 1010100 => 3
[5,4,3,2,7,1,6,8] => 1110100 => 2
[6,4,3,2,7,1,5,8] => 1110100 => 2
[6,5,3,2,7,1,4,8] => 1110100 => 2
[6,5,4,2,7,1,3,8] => 1110100 => 2
[7,5,3,2,6,1,4,8] => 1110100 => 2
[7,5,4,2,6,1,3,8] => 1110100 => 2
[7,6,3,2,5,1,4,8] => 1110100 => 2
[5,4,3,2,8,1,6,7] => 1110100 => 2
[6,5,3,2,8,1,4,7] => 1110100 => 2
[6,5,4,2,8,1,3,7] => 1110100 => 2
[6,5,4,3,8,1,2,7] => 1110100 => 2
[7,5,3,2,8,1,4,6] => 1110100 => 2
[7,5,4,2,8,1,3,6] => 1110100 => 2
[7,6,3,2,8,1,4,5] => 1110100 => 2
[7,6,4,3,8,1,2,5] => 1110100 => 2
[7,6,5,2,8,1,3,4] => 1110100 => 2
[8,5,3,2,6,1,4,7] => 1110100 => 2
[8,5,4,2,6,1,3,7] => 1110100 => 2
[8,6,4,2,5,1,3,7] => 1110100 => 2
[8,6,5,2,4,1,3,7] => 1110100 => 2
[8,5,3,2,7,1,4,6] => 1110100 => 2
[8,6,3,2,7,1,4,5] => 1110100 => 2
[8,6,4,2,7,1,3,5] => 1110100 => 2
[8,6,4,3,7,1,2,5] => 1110100 => 2
[8,7,3,2,6,1,4,5] => 1110100 => 2
[8,7,4,2,6,1,3,5] => 1110100 => 2
[8,7,4,3,6,1,2,5] => 1110100 => 2
[8,7,5,2,6,1,3,4] => 1110100 => 2
[8,7,6,2,4,1,3,5] => 1110100 => 2
[8,7,6,2,5,1,3,4] => 1110100 => 2
[8,7,6,3,5,1,2,4] => 1110100 => 2
[4,8,3,7,2,6,1,5] => 0101010 => 3
[5,8,3,7,2,6,1,4] => 0101010 => 3
[5,8,4,7,2,6,1,3] => 0101010 => 3
[5,8,4,7,3,6,1,2] => 0101010 => 3
[6,8,3,7,2,5,1,4] => 0101010 => 3
[6,8,4,7,2,5,1,3] => 0101010 => 3
[6,8,4,7,3,5,1,2] => 0101010 => 3
[6,8,5,7,2,4,1,3] => 0101010 => 3
[6,8,5,7,3,4,1,2] => 0101010 => 3
[7,8,3,6,2,5,1,4] => 0101010 => 3
[7,8,4,6,2,5,1,3] => 0101010 => 3
[7,8,4,6,3,5,1,2] => 0101010 => 3
[7,8,5,6,2,4,1,3] => 0101010 => 3
[5,4,3,8,2,7,1,6] => 1101010 => 3
[6,4,3,8,2,7,1,5] => 1101010 => 3
[6,5,3,8,2,7,1,4] => 1101010 => 3
[6,5,4,8,2,7,1,3] => 1101010 => 3
[6,5,4,8,3,7,1,2] => 1101010 => 3
[7,4,3,8,2,6,1,5] => 1101010 => 3
[7,5,3,8,2,6,1,4] => 1101010 => 3
[7,5,4,8,2,6,1,3] => 1101010 => 3
[7,6,3,8,2,5,1,4] => 1101010 => 3
[7,6,4,8,2,5,1,3] => 1101010 => 3
[7,6,5,8,2,4,1,3] => 1101010 => 3
[8,4,3,7,2,6,1,5] => 1101010 => 3
[8,5,3,7,2,6,1,4] => 1101010 => 3
[8,5,4,7,2,6,1,3] => 1101010 => 3
[8,5,4,7,3,6,1,2] => 1101010 => 3
[8,6,3,7,2,5,1,4] => 1101010 => 3
[8,6,4,7,2,5,1,3] => 1101010 => 3
[8,6,5,7,2,4,1,3] => 1101010 => 3
[8,7,3,6,2,5,1,4] => 1101010 => 3
[8,7,4,6,2,5,1,3] => 1101010 => 3
[8,7,4,6,3,5,1,2] => 1101010 => 3
[8,7,5,6,2,4,1,3] => 1101010 => 3
[6,5,4,3,2,8,1,7] => 1111010 => 2
[7,6,4,3,2,8,1,5] => 1111010 => 2
[7,6,5,4,2,8,1,3] => 1111010 => 2
[8,5,4,3,2,7,1,6] => 1111010 => 2
[8,6,4,3,2,7,1,5] => 1111010 => 2
[8,6,5,3,2,7,1,4] => 1111010 => 2
[8,6,5,4,2,7,1,3] => 1111010 => 2
[8,7,4,3,2,6,1,5] => 1111010 => 2
[8,7,5,3,2,6,1,4] => 1111010 => 2
[8,7,5,4,2,6,1,3] => 1111010 => 2
[8,7,6,3,2,5,1,4] => 1111010 => 2
[8,7,6,4,2,5,1,3] => 1111010 => 2
[8,7,6,5,2,4,1,3] => 1111010 => 2
[8,1,2,3,4,7,5,6] => 1000010 => 2
[8,1,2,3,6,4,5,7] => 1000100 => 2
[8,1,2,3,7,4,5,6] => 1000100 => 2
[7,1,2,3,6,4,8,5] => 1000101 => 2
[5,1,2,3,8,7,4,6] => 1000110 => 2
[8,1,2,3,6,7,4,5] => 1000010 => 2
[4,1,2,8,3,7,5,6] => 1001010 => 3
[8,1,2,5,3,4,6,7] => 1001000 => 2
[7,1,2,5,3,4,8,6] => 1001001 => 2
[8,1,2,6,3,4,5,7] => 1001000 => 2
[7,1,2,6,3,4,8,5] => 1001001 => 2
[6,1,2,5,3,8,4,7] => 1001010 => 3
[8,1,2,5,3,7,4,6] => 1001010 => 3
[8,1,2,6,3,7,4,5] => 1001010 => 3
[6,1,2,5,3,7,8,4] => 1001001 => 2
[4,1,2,8,6,3,5,7] => 1001100 => 2
[4,1,2,8,7,3,5,6] => 1001100 => 2
[4,1,2,7,6,3,8,5] => 1001101 => 2
[8,1,2,5,6,3,4,7] => 1000100 => 2
[8,1,2,5,7,3,4,6] => 1000100 => 2
[8,1,2,7,6,3,4,5] => 1001100 => 2
[7,1,2,5,6,3,8,4] => 1000101 => 2
[4,1,2,5,8,7,3,6] => 1000110 => 2
[4,1,2,8,6,7,3,5] => 1001010 => 3
[8,1,2,5,6,7,3,4] => 1000010 => 2
[3,1,8,2,4,7,5,6] => 1010010 => 3
[3,1,8,2,6,4,5,7] => 1010100 => 3
[3,1,8,2,7,4,5,6] => 1010100 => 3
[3,1,7,2,6,4,8,5] => 1010101 => 3
[3,1,5,2,8,7,4,6] => 1010110 => 3
[3,1,8,2,6,7,4,5] => 1010010 => 3
[8,1,4,2,3,5,6,7] => 1010000 => 2
[7,1,4,2,3,5,8,6] => 1010001 => 2
[6,1,4,2,3,8,5,7] => 1010010 => 3
[8,1,4,2,3,7,5,6] => 1010010 => 3
[6,1,4,2,3,7,8,5] => 1010001 => 2
[8,1,5,2,3,4,6,7] => 1010000 => 2
[7,1,5,2,3,4,8,6] => 1010001 => 2
[8,1,7,2,3,4,5,6] => 1010000 => 2
[6,1,5,2,3,8,4,7] => 1010010 => 3
[8,1,5,2,3,7,4,6] => 1010010 => 3
[6,1,8,2,3,7,4,5] => 1010010 => 3
[6,1,5,2,3,7,8,4] => 1010001 => 2
[5,1,4,2,8,3,6,7] => 1010100 => 3
[5,1,4,2,7,3,8,6] => 1010101 => 3
[8,1,4,2,6,3,5,7] => 1010100 => 3
[8,1,4,2,7,3,5,6] => 1010100 => 3
[7,1,4,2,6,3,8,5] => 1010101 => 3
[8,1,5,2,6,3,4,7] => 1010100 => 3
[8,1,5,2,7,3,4,6] => 1010100 => 3
[7,1,8,2,6,3,4,5] => 1010100 => 3
[7,1,5,2,6,3,8,4] => 1010101 => 3
[5,1,4,2,6,8,3,7] => 1010010 => 3
[5,1,4,2,8,7,3,6] => 1010110 => 3
[8,1,4,2,6,7,3,5] => 1010010 => 3
[8,1,5,2,6,7,3,4] => 1010010 => 3
[5,1,4,2,6,7,8,3] => 1010001 => 2
[3,1,4,8,2,7,5,6] => 1001010 => 3
[3,1,8,5,2,4,6,7] => 1011000 => 2
[3,1,7,5,2,4,8,6] => 1011001 => 2
[3,1,8,6,2,4,5,7] => 1011000 => 2
[3,1,7,6,2,4,8,5] => 1011001 => 2
[3,1,6,5,2,8,4,7] => 1011010 => 3
[3,1,8,5,2,7,4,6] => 1011010 => 3
[3,1,8,6,2,7,4,5] => 1011010 => 3
[3,1,6,5,2,7,8,4] => 1011001 => 2
[8,1,4,5,2,3,6,7] => 1001000 => 2
[7,1,4,5,2,3,8,6] => 1001001 => 2
[8,1,4,6,2,3,5,7] => 1001000 => 2
[7,1,4,8,2,3,5,6] => 1001000 => 2
[7,1,4,6,2,3,8,5] => 1001001 => 2
[8,1,6,5,2,3,4,7] => 1011000 => 2
[7,1,8,5,2,3,4,6] => 1011000 => 2
[7,1,8,6,2,3,4,5] => 1011000 => 2
[7,1,6,5,2,3,8,4] => 1011001 => 2
[6,1,4,5,2,8,3,7] => 1001010 => 3
[8,1,4,5,2,7,3,6] => 1001010 => 3
[8,1,4,6,2,7,3,5] => 1001010 => 3
[8,1,6,5,2,7,3,4] => 1011010 => 3
[6,1,4,5,2,7,8,3] => 1001001 => 2
[3,1,4,8,6,2,5,7] => 1001100 => 2
[3,1,4,8,7,2,5,6] => 1001100 => 2
[3,1,4,7,6,2,8,5] => 1001101 => 2
[3,1,8,5,6,2,4,7] => 1010100 => 3
[3,1,8,5,7,2,4,6] => 1010100 => 3
[3,1,8,7,6,2,4,5] => 1011100 => 2
[3,1,7,5,6,2,8,4] => 1010101 => 3
[8,1,4,5,6,2,3,7] => 1000100 => 2
[8,1,4,5,7,2,3,6] => 1000100 => 2
[8,1,4,7,6,2,3,5] => 1001100 => 2
[8,1,7,5,6,2,3,4] => 1010100 => 3
[7,1,4,5,6,2,8,3] => 1000101 => 2
[3,1,4,5,8,7,2,6] => 1000110 => 2
[3,1,4,8,6,7,2,5] => 1001010 => 3
[3,1,8,5,6,7,2,4] => 1010010 => 3
[8,1,4,5,6,7,2,3] => 1000010 => 2
[2,8,1,3,4,7,5,6] => 0100010 => 2
[2,8,1,3,6,4,5,7] => 0100100 => 2
[2,8,1,3,7,4,5,6] => 0100100 => 2
[2,7,1,3,6,4,8,5] => 0100101 => 2
[2,5,1,3,8,7,4,6] => 0100110 => 2
[2,8,1,3,6,7,4,5] => 0100010 => 2
[2,4,1,8,3,7,5,6] => 0101010 => 3
[2,8,1,5,3,4,6,7] => 0101000 => 2
[2,7,1,5,3,4,8,6] => 0101001 => 2
[2,8,1,6,3,4,5,7] => 0101000 => 2
[2,7,1,6,3,4,8,5] => 0101001 => 2
[2,6,1,5,3,8,4,7] => 0101010 => 3
[2,8,1,5,3,7,4,6] => 0101010 => 3
[2,6,1,5,3,7,8,4] => 0101001 => 2
[2,4,1,8,6,3,5,7] => 0101100 => 2
[2,4,1,8,7,3,5,6] => 0101100 => 2
[2,4,1,7,6,3,8,5] => 0101101 => 2
[2,8,1,5,6,3,4,7] => 0100100 => 2
[2,8,1,5,7,3,4,6] => 0100100 => 2
[2,8,1,7,6,3,4,5] => 0101100 => 2
[2,7,1,5,6,3,8,4] => 0100101 => 2
[2,4,1,5,8,7,3,6] => 0100110 => 2
[2,4,1,8,6,7,3,5] => 0101010 => 3
[2,8,1,5,6,7,3,4] => 0100010 => 2
[7,3,1,2,4,5,8,6] => 1100001 => 1
[6,3,1,2,4,8,5,7] => 1100010 => 2
[8,3,1,2,4,7,5,6] => 1100010 => 2
[6,3,1,2,4,7,8,5] => 1100001 => 1
[5,3,1,2,8,4,6,7] => 1100100 => 2
[5,3,1,2,7,4,8,6] => 1100101 => 2
[8,3,1,2,6,4,5,7] => 1100100 => 2
[8,3,1,2,7,4,5,6] => 1100100 => 2
[7,3,1,2,6,4,8,5] => 1100101 => 2
[5,3,1,2,6,8,4,7] => 1100010 => 2
[5,3,1,2,8,7,4,6] => 1100110 => 2
[8,3,1,2,6,7,4,5] => 1100010 => 2
[5,3,1,2,6,7,8,4] => 1100001 => 1
[7,4,1,2,3,5,8,6] => 1100001 => 1
[6,4,1,2,3,8,5,7] => 1100010 => 2
[8,4,1,2,3,7,5,6] => 1100010 => 2
[6,4,1,2,3,7,8,5] => 1100001 => 1
[7,6,1,2,3,4,8,5] => 1100001 => 1
[5,8,1,2,3,7,4,6] => 0100010 => 2
[8,6,1,2,3,7,4,5] => 1100010 => 2
[5,4,1,2,8,3,6,7] => 1100100 => 2
[5,4,1,2,7,3,8,6] => 1100101 => 2
[8,4,1,2,6,3,5,7] => 1100100 => 2
[8,4,1,2,7,3,5,6] => 1100100 => 2
[7,4,1,2,6,3,8,5] => 1100101 => 2
[5,8,1,2,6,3,4,7] => 0100100 => 2
[5,8,1,2,7,3,4,6] => 0100100 => 2
[8,7,1,2,6,3,4,5] => 1100100 => 2
[5,7,1,2,6,3,8,4] => 0100101 => 2
[5,4,1,2,6,8,3,7] => 1100010 => 2
[5,4,1,2,8,7,3,6] => 1100110 => 2
[8,4,1,2,6,7,3,5] => 1100010 => 2
[5,8,1,2,6,7,3,4] => 0100010 => 2
[5,4,1,2,6,7,8,3] => 1100001 => 1
[4,3,1,8,2,5,6,7] => 1101000 => 2
[4,3,1,7,2,5,8,6] => 1101001 => 2
[4,3,1,6,2,8,5,7] => 1101010 => 3
[4,3,1,8,2,7,5,6] => 1101010 => 3
[4,3,1,6,2,7,8,5] => 1101001 => 2
[8,3,1,5,2,4,6,7] => 1101000 => 2
[7,3,1,5,2,4,8,6] => 1101001 => 2
[8,3,1,6,2,4,5,7] => 1101000 => 2
[7,3,1,8,2,4,5,6] => 1101000 => 2
[7,3,1,6,2,4,8,5] => 1101001 => 2
[6,3,1,5,2,8,4,7] => 1101010 => 3
[8,3,1,5,2,7,4,6] => 1101010 => 3
[8,3,1,6,2,7,4,5] => 1101010 => 3
[6,3,1,5,2,7,8,4] => 1101001 => 2
[8,4,1,5,2,3,6,7] => 1101000 => 2
[7,4,1,5,2,3,8,6] => 1101001 => 2
[8,4,1,6,2,3,5,7] => 1101000 => 2
[7,4,1,8,2,3,5,6] => 1101000 => 2
[7,4,1,6,2,3,8,5] => 1101001 => 2
[6,8,1,5,2,3,4,7] => 0101000 => 2
[8,7,1,5,2,3,4,6] => 1101000 => 2
[8,7,1,6,2,3,4,5] => 1101000 => 2
[6,7,1,5,2,3,8,4] => 0101001 => 2
[6,4,1,5,2,8,3,7] => 1101010 => 3
[8,4,1,5,2,7,3,6] => 1101010 => 3
[8,4,1,6,2,7,3,5] => 1101010 => 3
[6,8,1,5,2,7,3,4] => 0101010 => 3
[6,4,1,5,2,7,8,3] => 1101001 => 2
[4,3,1,5,8,2,6,7] => 1100100 => 2
[4,3,1,5,7,2,8,6] => 1100101 => 2
[4,3,1,8,6,2,5,7] => 1101100 => 2
[4,3,1,8,7,2,5,6] => 1101100 => 2
[4,3,1,7,6,2,8,5] => 1101101 => 2
[8,3,1,5,6,2,4,7] => 1100100 => 2
[8,3,1,5,7,2,4,6] => 1100100 => 2
[8,3,1,7,6,2,4,5] => 1101100 => 2
[7,3,1,5,6,2,8,4] => 1100101 => 2
[8,4,1,5,6,2,3,7] => 1100100 => 2
[8,4,1,5,7,2,3,6] => 1100100 => 2
[8,4,1,7,6,2,3,5] => 1101100 => 2
[7,8,1,5,6,2,3,4] => 0100100 => 2
[7,4,1,5,6,2,8,3] => 1100101 => 2
[4,3,1,5,6,8,2,7] => 1100010 => 2
[4,3,1,5,8,7,2,6] => 1100110 => 2
[4,3,1,8,6,7,2,5] => 1101010 => 3
[8,3,1,5,6,7,2,4] => 1100010 => 2
[8,4,1,5,6,7,2,3] => 1100010 => 2
[4,3,1,5,6,7,8,2] => 1100001 => 1
[2,3,8,1,4,7,5,6] => 0010010 => 2
[2,3,8,1,6,4,5,7] => 0010100 => 2
[2,3,8,1,7,4,5,6] => 0010100 => 2
[2,3,7,1,6,4,8,5] => 0010101 => 2
[2,3,5,1,8,7,4,6] => 0010110 => 2
[2,3,8,1,6,7,4,5] => 0010010 => 2
[2,8,4,1,3,5,6,7] => 0110000 => 1
[2,7,4,1,3,5,8,6] => 0110001 => 1
[2,6,4,1,3,8,5,7] => 0110010 => 2
[2,8,4,1,3,7,5,6] => 0110010 => 2
[2,6,4,1,3,7,8,5] => 0110001 => 1
[2,8,5,1,3,4,6,7] => 0110000 => 1
[2,7,5,1,3,4,8,6] => 0110001 => 1
[2,8,7,1,3,4,5,6] => 0110000 => 1
[2,6,5,1,3,8,4,7] => 0110010 => 2
[2,8,5,1,3,7,4,6] => 0110010 => 2
[2,6,8,1,3,7,4,5] => 0010010 => 2
[2,6,5,1,3,7,8,4] => 0110001 => 1
[2,5,4,1,8,3,6,7] => 0110100 => 2
[2,5,4,1,7,3,8,6] => 0110101 => 2
[2,8,4,1,6,3,5,7] => 0110100 => 2
[2,8,4,1,7,3,5,6] => 0110100 => 2
[2,7,4,1,6,3,8,5] => 0110101 => 2
[2,8,5,1,6,3,4,7] => 0110100 => 2
[2,8,5,1,7,3,4,6] => 0110100 => 2
[2,7,8,1,6,3,4,5] => 0010100 => 2
[2,7,5,1,6,3,8,4] => 0110101 => 2
[2,5,4,1,6,8,3,7] => 0110010 => 2
[2,5,4,1,8,7,3,6] => 0110110 => 2
[2,8,4,1,6,7,3,5] => 0110010 => 2
[2,8,5,1,6,7,3,4] => 0110010 => 2
[2,5,4,1,6,7,8,3] => 0110001 => 1
[7,3,4,1,2,5,8,6] => 1010001 => 2
[6,3,4,1,2,8,5,7] => 1010010 => 3
[8,3,4,1,2,7,5,6] => 1010010 => 3
[6,3,4,1,2,7,8,5] => 1010001 => 2
[7,3,5,1,2,4,8,6] => 1010001 => 2
[6,3,7,1,2,4,8,5] => 1010001 => 2
[6,3,5,1,2,8,4,7] => 1010010 => 3
[8,3,5,1,2,7,4,6] => 1010010 => 3
[6,3,8,1,2,7,4,5] => 1010010 => 3
[6,3,5,1,2,7,8,4] => 1010001 => 2
[7,5,4,1,2,3,8,6] => 1110001 => 1
[6,8,4,1,2,3,5,7] => 0110000 => 1
[6,7,4,1,2,3,8,5] => 0110001 => 1
[6,8,5,1,2,3,4,7] => 0110000 => 1
[6,7,5,1,2,3,8,4] => 0110001 => 1
[6,5,4,1,2,8,3,7] => 1110010 => 2
[8,5,4,1,2,7,3,6] => 1110010 => 2
[6,8,4,1,2,7,3,5] => 0110010 => 2
[6,8,5,1,2,7,3,4] => 0110010 => 2
[6,5,4,1,2,7,8,3] => 1110001 => 1
[5,3,4,1,8,2,6,7] => 1010100 => 3
[5,3,4,1,7,2,8,6] => 1010101 => 3
[8,3,4,1,6,2,5,7] => 1010100 => 3
[8,3,4,1,7,2,5,6] => 1010100 => 3
[7,3,4,1,6,2,8,5] => 1010101 => 3
[8,3,5,1,6,2,4,7] => 1010100 => 3
[8,3,5,1,7,2,4,6] => 1010100 => 3
[7,3,8,1,6,2,4,5] => 1010100 => 3
[7,3,5,1,6,2,8,4] => 1010101 => 3
[8,5,4,1,6,2,3,7] => 1110100 => 2
[8,5,4,1,7,2,3,6] => 1110100 => 2
[7,8,4,1,6,2,3,5] => 0110100 => 2
[7,8,5,1,6,2,3,4] => 0110100 => 2
[7,5,4,1,6,2,8,3] => 1110101 => 2
[5,3,4,1,6,8,2,7] => 1010010 => 3
[5,3,4,1,8,7,2,6] => 1010110 => 3
[8,3,4,1,6,7,2,5] => 1010010 => 3
[8,3,5,1,6,7,2,4] => 1010010 => 3
[8,5,4,1,6,7,2,3] => 1110010 => 2
[5,3,4,1,6,7,8,2] => 1010001 => 2
[2,3,4,8,1,7,5,6] => 0001010 => 2
[2,3,8,5,1,4,6,7] => 0011000 => 1
[2,3,7,5,1,4,8,6] => 0011001 => 1
[2,3,8,6,1,4,5,7] => 0011000 => 1
[2,3,7,6,1,4,8,5] => 0011001 => 1
[2,3,6,5,1,8,4,7] => 0011010 => 2
[2,3,8,5,1,7,4,6] => 0011010 => 2
[2,3,8,6,1,7,4,5] => 0011010 => 2
[2,3,6,5,1,7,8,4] => 0011001 => 1
[2,8,4,5,1,3,6,7] => 0101000 => 2
[2,7,4,5,1,3,8,6] => 0101001 => 2
[2,8,4,6,1,3,5,7] => 0101000 => 2
[2,7,4,8,1,3,5,6] => 0101000 => 2
[2,7,4,6,1,3,8,5] => 0101001 => 2
[2,8,6,5,1,3,4,7] => 0111000 => 1
[2,7,8,5,1,3,4,6] => 0011000 => 1
[2,7,8,6,1,3,4,5] => 0011000 => 1
[2,7,6,5,1,3,8,4] => 0111001 => 1
[2,6,4,5,1,8,3,7] => 0101010 => 3
[2,8,4,5,1,7,3,6] => 0101010 => 3
[2,8,4,6,1,7,3,5] => 0101010 => 3
[2,8,6,5,1,7,3,4] => 0111010 => 2
[2,6,4,5,1,7,8,3] => 0101001 => 2
[7,3,4,5,1,2,8,6] => 1001001 => 2
[7,3,4,6,1,2,8,5] => 1001001 => 2
[8,3,6,5,1,2,4,7] => 1011000 => 2
[7,3,8,5,1,2,4,6] => 1011000 => 2
[7,3,8,6,1,2,4,5] => 1011000 => 2
[7,3,6,5,1,2,8,4] => 1011001 => 2
[7,6,4,5,1,2,8,3] => 1101001 => 2
[6,3,4,5,1,8,2,7] => 1001010 => 3
[8,3,4,5,1,7,2,6] => 1001010 => 3
[8,3,4,6,1,7,2,5] => 1001010 => 3
[8,3,6,5,1,7,2,4] => 1011010 => 3
[8,6,4,5,1,7,2,3] => 1101010 => 3
[6,3,4,5,1,7,8,2] => 1001001 => 2
[2,3,4,8,6,1,5,7] => 0001100 => 1
[2,3,4,8,7,1,5,6] => 0001100 => 1
[2,3,4,7,6,1,8,5] => 0001101 => 1
[2,3,8,5,6,1,4,7] => 0010100 => 2
[2,3,8,5,7,1,4,6] => 0010100 => 2
[2,3,8,7,6,1,4,5] => 0011100 => 1
[2,3,7,5,6,1,8,4] => 0010101 => 2
[2,8,4,5,6,1,3,7] => 0100100 => 2
[2,8,4,5,7,1,3,6] => 0100100 => 2
[2,8,4,7,6,1,3,5] => 0101100 => 2
[2,8,7,5,6,1,3,4] => 0110100 => 2
[2,7,4,5,6,1,8,3] => 0100101 => 2
[8,3,4,5,7,1,2,6] => 1000100 => 2
[8,3,4,7,6,1,2,5] => 1001100 => 2
[8,3,7,5,6,1,2,4] => 1010100 => 3
[7,3,4,5,6,1,8,2] => 1000101 => 2
[2,3,4,5,8,7,1,6] => 0000110 => 1
[2,3,4,8,6,7,1,5] => 0001010 => 2
[2,3,8,5,6,7,1,4] => 0010010 => 2
[2,8,4,5,6,7,1,3] => 0100010 => 2
[9,1,2,3,4,5,6,7,8] => 10000000 => 1
[8,1,2,3,4,5,6,9,7] => 10000001 => 1
[7,1,2,3,4,5,9,6,8] => 10000010 => 2
[9,1,2,3,4,5,8,6,7] => 10000010 => 2
[7,1,2,3,4,5,8,9,6] => 10000001 => 1
[6,1,2,3,4,9,5,7,8] => 10000100 => 2
[6,1,2,3,4,8,5,9,7] => 10000101 => 2
[9,1,2,3,4,7,5,6,8] => 10000100 => 2
[9,1,2,3,4,8,5,6,7] => 10000100 => 2
[8,1,2,3,4,7,5,9,6] => 10000101 => 2
[6,1,2,3,4,7,9,5,8] => 10000010 => 2
[6,1,2,3,4,9,8,5,7] => 10000110 => 2
[9,1,2,3,4,7,8,5,6] => 10000010 => 2
[6,1,2,3,4,7,8,9,5] => 10000001 => 1
[5,1,2,3,8,4,6,9,7] => 10001001 => 2
[9,1,2,3,6,4,5,7,8] => 10001000 => 2
[8,1,2,3,9,4,5,6,7] => 10001000 => 2
[5,1,2,3,9,8,4,6,7] => 10001100 => 2
[9,1,2,3,6,8,4,5,7] => 10000100 => 2
[5,1,2,3,6,9,8,4,7] => 10000110 => 2
[5,1,2,3,6,7,8,9,4] => 10000001 => 1
[4,1,2,8,3,5,6,9,7] => 10010001 => 2
[4,1,2,9,3,5,8,6,7] => 10010010 => 3
[4,1,2,9,3,8,5,6,7] => 10010100 => 3
[9,1,2,5,3,4,6,7,8] => 10010000 => 2
[9,1,2,8,3,4,5,6,7] => 10010000 => 2
[7,1,2,8,3,4,5,9,6] => 10010001 => 2
[4,1,2,5,9,3,6,7,8] => 10001000 => 2
[4,1,2,8,9,3,5,6,7] => 10001000 => 2
[8,1,2,5,9,3,4,6,7] => 10001000 => 2
[8,1,2,9,6,3,4,5,7] => 10011000 => 2
[4,1,2,5,9,8,3,6,7] => 10001100 => 2
[9,1,2,8,6,7,3,4,5] => 10010100 => 3
[4,1,2,5,6,7,9,3,8] => 10000010 => 2
[4,1,2,9,6,7,8,3,5] => 10010010 => 3
[9,1,2,5,6,7,8,3,4] => 10000010 => 2
[4,1,2,5,6,7,8,9,3] => 10000001 => 1
[3,1,9,2,4,5,6,7,8] => 10100000 => 2
[3,1,8,2,4,5,6,9,7] => 10100001 => 2
[3,1,9,2,4,5,8,6,7] => 10100010 => 3
[3,1,5,2,7,4,9,6,8] => 10101010 => 4
[8,1,4,2,3,5,6,9,7] => 10100001 => 2
[9,1,4,2,3,5,8,6,7] => 10100010 => 3
[6,1,4,2,3,7,8,9,5] => 10100001 => 2
[9,1,8,2,3,4,5,6,7] => 10100000 => 2
[8,1,7,2,3,4,5,9,6] => 10100001 => 2
[3,1,4,9,2,5,6,7,8] => 10010000 => 2
[3,1,4,9,2,5,8,6,7] => 10010010 => 3
[3,1,9,8,2,4,5,6,7] => 10110000 => 2
[9,1,4,5,2,3,6,7,8] => 10010000 => 2
[7,1,4,5,2,3,8,9,6] => 10010001 => 2
[7,1,4,9,2,3,5,6,8] => 10010000 => 2
[9,1,4,8,2,3,5,6,7] => 10010000 => 2
[9,1,6,5,2,3,4,7,8] => 10110000 => 2
[7,1,9,6,2,3,4,5,8] => 10110000 => 2
[9,1,8,6,2,3,4,5,7] => 10110000 => 2
[7,1,8,9,2,3,4,5,6] => 10010000 => 2
[3,1,4,8,9,2,5,6,7] => 10001000 => 2
[3,1,8,9,7,2,4,5,6] => 10011000 => 2
[8,1,4,5,6,2,3,9,7] => 10001001 => 2
[8,1,4,9,7,2,3,5,6] => 10011000 => 2
[8,1,9,5,6,2,3,4,7] => 10101000 => 3
[8,1,9,7,6,2,3,4,5] => 10111000 => 2
[7,1,4,5,6,2,8,9,3] => 10001001 => 2
[3,1,4,5,6,9,2,7,8] => 10000100 => 2
[3,1,4,5,6,8,2,9,7] => 10000101 => 2
[3,1,4,9,8,7,2,5,6] => 10011100 => 2
[3,1,9,8,6,7,2,4,5] => 10110100 => 3
[9,1,4,5,6,7,2,3,8] => 10000100 => 2
[9,1,4,8,6,7,2,3,5] => 10010100 => 3
[9,1,8,5,6,7,2,3,4] => 10100100 => 3
[8,1,4,5,6,7,2,9,3] => 10000101 => 2
[3,1,4,5,6,7,9,2,8] => 10000010 => 2
[3,1,4,9,6,7,8,2,5] => 10010010 => 3
[3,1,9,5,6,7,8,2,4] => 10100010 => 3
[9,1,4,5,6,7,8,2,3] => 10000010 => 2
[3,1,4,5,6,7,8,9,2] => 10000001 => 1
[2,9,1,3,4,5,6,7,8] => 01000000 => 1
[2,8,1,3,4,5,6,9,7] => 01000001 => 1
[2,7,1,3,4,5,9,6,8] => 01000010 => 2
[2,9,1,3,4,5,8,6,7] => 01000010 => 2
[2,7,1,3,4,5,8,9,6] => 01000001 => 1
[2,6,1,3,4,9,5,7,8] => 01000100 => 2
[2,9,1,3,4,8,5,6,7] => 01000100 => 2
[2,8,1,3,9,4,5,6,7] => 01001000 => 2
[2,9,1,3,8,7,4,5,6] => 01001100 => 2
[2,9,1,3,6,7,8,4,5] => 01000010 => 2
[2,5,1,3,6,7,8,9,4] => 01000001 => 1
[2,4,1,6,3,8,5,9,7] => 01010101 => 3
[2,9,1,8,3,4,5,6,7] => 01010000 => 2
[2,7,1,6,3,4,8,9,5] => 01010001 => 2
[2,6,1,5,3,7,8,9,4] => 01010001 => 2
[2,4,1,5,9,3,6,7,8] => 01001000 => 2
[2,4,1,8,9,3,5,6,7] => 01001000 => 2
[2,8,1,9,7,3,4,5,6] => 01011000 => 2
[2,9,1,8,6,7,3,4,5] => 01010100 => 3
[2,4,1,5,6,7,9,3,8] => 01000010 => 2
[2,4,1,5,6,9,8,3,7] => 01000110 => 2
[2,9,1,5,6,7,8,3,4] => 01000010 => 2
[2,4,1,5,6,7,8,9,3] => 01000001 => 1
[9,3,1,2,4,5,6,7,8] => 11000000 => 1
[8,3,1,2,4,5,6,9,7] => 11000001 => 1
[9,3,1,2,4,5,8,6,7] => 11000010 => 2
[6,3,1,2,4,7,8,9,5] => 11000001 => 1
[9,3,1,2,6,7,8,4,5] => 11000010 => 2
[5,3,1,2,6,7,8,9,4] => 11000001 => 1
[9,4,1,2,3,5,6,7,8] => 11000000 => 1
[7,4,1,2,3,5,8,9,6] => 11000001 => 1
[6,4,1,2,3,7,8,9,5] => 11000001 => 1
[5,9,1,2,3,4,6,7,8] => 01000000 => 1
[5,8,1,2,3,4,6,9,7] => 01000001 => 1
[5,7,1,2,3,4,8,9,6] => 01000001 => 1
[9,6,1,2,3,4,5,7,8] => 11000000 => 1
[8,6,1,2,3,4,5,9,7] => 11000001 => 1
[9,7,1,2,3,4,5,6,8] => 11000000 => 1
[8,9,1,2,3,4,5,6,7] => 01000000 => 1
[8,7,1,2,3,4,5,9,6] => 11000001 => 1
[7,6,1,2,3,4,9,5,8] => 11000010 => 2
[9,6,1,2,3,4,8,5,7] => 11000010 => 2
[9,7,1,2,3,4,8,5,6] => 11000010 => 2
[7,6,1,2,3,4,8,9,5] => 11000001 => 1
[5,6,1,2,3,9,4,7,8] => 01000100 => 2
[5,9,1,2,3,8,4,6,7] => 01000100 => 2
[9,6,1,2,3,7,4,5,8] => 11000100 => 2
[9,8,1,2,3,7,4,5,6] => 11000100 => 2
[8,6,1,2,3,7,4,9,5] => 11000101 => 2
[5,6,1,2,3,7,9,4,8] => 01000010 => 2
[9,6,1,2,3,7,8,4,5] => 11000010 => 2
[5,6,1,2,3,7,8,9,4] => 01000001 => 1
[5,4,1,2,9,3,6,7,8] => 11001000 => 2
[8,4,1,2,9,3,5,6,7] => 11001000 => 2
[5,9,1,2,6,3,4,7,8] => 01001000 => 2
[9,7,1,2,6,3,8,4,5] => 11001010 => 3
[5,4,1,2,6,9,3,7,8] => 11000100 => 2
[9,8,1,2,6,7,3,4,5] => 11000100 => 2
[5,4,1,2,6,7,9,3,8] => 11000010 => 2
[5,4,1,2,6,7,8,9,3] => 11000001 => 1
[4,3,1,9,2,5,6,7,8] => 11010000 => 2
[9,3,1,8,2,4,5,6,7] => 11010000 => 2
[9,4,1,5,2,3,6,7,8] => 11010000 => 2
[9,4,1,8,2,3,5,6,7] => 11010000 => 2
[6,9,1,5,2,3,4,7,8] => 01010000 => 2
[9,7,1,6,2,3,4,5,8] => 11010000 => 2
[8,7,1,9,2,3,4,5,6] => 11010000 => 2
[8,7,1,6,2,3,4,9,5] => 11010001 => 2
[9,4,1,6,2,8,3,5,7] => 11010100 => 3
[9,8,1,6,2,7,3,4,5] => 11010100 => 3
[4,3,1,5,9,2,6,7,8] => 11001000 => 2
[9,8,1,7,6,2,3,4,5] => 11011000 => 2
[4,3,1,5,6,8,2,9,7] => 11000101 => 2
[4,3,1,5,9,8,2,6,7] => 11001100 => 2
[4,3,1,5,8,7,2,9,6] => 11001101 => 2
[8,9,1,5,6,7,2,3,4] => 01000100 => 2
[4,3,1,5,6,7,9,2,8] => 11000010 => 2
[4,3,1,5,6,9,8,2,7] => 11000110 => 2
[9,3,1,5,6,7,8,2,4] => 11000010 => 2
[9,4,1,5,6,7,8,2,3] => 11000010 => 2
[4,3,1,5,6,7,8,9,2] => 11000001 => 1
[2,3,9,1,4,5,6,7,8] => 00100000 => 1
[2,3,8,1,4,5,6,9,7] => 00100001 => 1
[2,3,9,1,4,5,8,6,7] => 00100010 => 2
[2,3,9,1,4,7,8,5,6] => 00100010 => 2
[2,3,9,1,8,7,4,5,6] => 00101100 => 2
[2,3,8,1,6,7,4,9,5] => 00100101 => 2
[2,3,5,1,6,7,9,4,8] => 00100010 => 2
[2,3,9,1,6,7,8,4,5] => 00100010 => 2
[2,3,5,1,6,7,8,9,4] => 00100001 => 1
[2,9,4,1,3,5,6,7,8] => 01100000 => 1
[2,6,4,1,3,7,8,9,5] => 01100001 => 1
[2,9,5,1,3,4,6,7,8] => 01100000 => 1
[2,6,9,1,3,4,5,7,8] => 00100000 => 1
[2,9,7,1,3,4,5,6,8] => 01100000 => 1
[2,9,8,1,3,4,5,6,7] => 01100000 => 1
[2,6,7,1,3,4,8,9,5] => 00100001 => 1
[2,9,4,1,6,3,5,7,8] => 01101000 => 2
[2,8,4,1,9,3,5,6,7] => 01101000 => 2
[2,9,4,1,6,3,8,5,7] => 01101010 => 3
[2,9,8,1,7,3,4,5,6] => 01101000 => 2
[2,9,5,1,6,7,8,3,4] => 01100010 => 2
[9,3,4,1,2,5,6,7,8] => 10100000 => 2
[6,3,4,1,2,7,8,9,5] => 10100001 => 2
[9,3,7,1,2,4,5,6,8] => 10100000 => 2
[9,3,8,1,2,4,5,6,7] => 10100000 => 2
[9,5,4,1,2,3,6,7,8] => 11100000 => 1
[8,5,4,1,2,3,6,9,7] => 11100001 => 1
[6,9,4,1,2,3,5,7,8] => 01100000 => 1
[6,8,4,1,2,3,5,9,7] => 01100001 => 1
[9,7,4,1,2,3,5,6,8] => 11100000 => 1
[9,8,4,1,2,3,5,6,7] => 11100000 => 1
[6,9,5,1,2,3,4,7,8] => 01100000 => 1
[6,8,5,1,2,3,4,9,7] => 01100001 => 1
[8,7,5,1,2,3,4,9,6] => 11100001 => 1
[6,7,9,1,2,3,4,5,8] => 00100000 => 1
[6,9,8,1,2,3,4,5,7] => 01100000 => 1
[9,7,8,1,2,3,4,5,6] => 10100000 => 2
[6,7,8,1,2,3,4,9,5] => 00100001 => 1
[6,5,4,1,2,8,3,9,7] => 11100101 => 2
[9,8,5,1,7,2,3,4,6] => 11101000 => 2
[7,8,9,1,6,2,3,4,5] => 00101000 => 2
[7,8,5,1,6,2,3,9,4] => 01101001 => 2
[5,3,4,1,6,8,2,9,7] => 10100101 => 3
[9,3,4,1,8,7,2,5,6] => 10101100 => 3
[8,3,4,1,6,7,2,9,5] => 10100101 => 3
[9,5,4,1,8,7,2,3,6] => 11101100 => 2
[8,5,4,1,6,7,2,9,3] => 11100101 => 2
[5,3,4,1,9,7,8,2,6] => 10101010 => 4
[9,3,5,1,6,7,8,2,4] => 10100010 => 3
[9,5,4,1,6,7,8,2,3] => 11100010 => 2
[5,3,4,1,6,7,8,9,2] => 10100001 => 2
[2,3,4,9,1,5,6,7,8] => 00010000 => 1
[2,3,4,9,1,5,8,6,7] => 00010010 => 2
[2,3,4,9,1,7,8,5,6] => 00010010 => 2
[2,3,4,6,1,7,8,9,5] => 00010001 => 1
[2,3,9,5,1,4,6,7,8] => 00110000 => 1
[2,3,9,6,1,4,5,7,8] => 00110000 => 1
[2,3,7,9,1,4,5,6,8] => 00010000 => 1
[2,3,9,8,1,4,5,6,7] => 00110000 => 1
[2,3,9,5,1,7,4,6,8] => 00110100 => 2
[2,3,9,6,1,7,8,4,5] => 00110010 => 2
[2,9,4,5,1,3,6,7,8] => 01010000 => 2
[2,7,4,5,1,3,8,9,6] => 01010001 => 2
[2,9,8,6,1,3,4,5,7] => 01110000 => 1
[2,7,8,9,1,3,4,5,6] => 00010000 => 1
[2,8,9,6,1,7,3,4,5] => 00110100 => 2
[2,9,6,5,1,7,8,3,4] => 01110010 => 2
[7,3,4,5,1,2,8,9,6] => 10010001 => 2
[9,3,4,8,1,2,5,6,7] => 10010000 => 2
[7,3,4,8,1,2,5,9,6] => 10010001 => 2
[7,3,8,9,1,2,4,5,6] => 10010000 => 2
[9,8,4,5,1,2,3,6,7] => 11010000 => 2
[7,8,4,6,1,2,3,9,5] => 01010001 => 2
[9,8,6,5,1,2,3,4,7] => 11110000 => 1
[7,8,9,6,1,2,3,4,5] => 00110000 => 1
[7,8,6,5,1,2,3,9,4] => 01110001 => 1
[8,3,9,6,1,7,2,4,5] => 10110100 => 3
[8,3,6,5,1,7,2,9,4] => 10110101 => 3
[8,6,4,5,1,7,2,9,3] => 11010101 => 3
[6,3,4,5,1,7,9,2,8] => 10010010 => 3
[6,3,4,5,1,9,8,2,7] => 10010110 => 3
[9,3,4,6,1,7,8,2,5] => 10010010 => 3
[6,3,4,5,1,7,8,9,2] => 10010001 => 2
[2,3,4,5,9,1,6,7,8] => 00001000 => 1
[2,3,4,5,8,1,6,9,7] => 00001001 => 1
[2,3,4,5,9,1,8,6,7] => 00001010 => 2
[2,3,4,5,7,1,8,9,6] => 00001001 => 1
[2,3,4,9,6,1,5,7,8] => 00011000 => 1
[2,3,4,9,7,1,5,6,8] => 00011000 => 1
[2,3,4,9,6,1,8,5,7] => 00011010 => 2
[2,3,4,9,7,1,8,5,6] => 00011010 => 2
[2,3,9,5,6,1,4,7,8] => 00101000 => 2
[2,3,8,5,6,1,4,9,7] => 00101001 => 2
[2,3,9,5,6,1,8,4,7] => 00101010 => 3
[2,8,4,5,6,1,3,9,7] => 01001001 => 2
[2,8,9,5,7,1,3,4,6] => 00101000 => 2
[2,8,9,7,6,1,3,4,5] => 00111000 => 1
[2,9,7,5,6,1,8,3,4] => 01101010 => 3
[8,3,4,5,6,1,2,9,7] => 10001001 => 2
[8,3,4,7,6,1,2,9,5] => 10011001 => 2
[8,3,9,7,6,1,2,4,5] => 10111000 => 2
[8,3,7,5,6,1,2,9,4] => 10101001 => 3
[9,7,4,5,6,1,2,3,8] => 11001000 => 2
[8,9,4,5,6,1,2,3,7] => 01001000 => 2
[8,9,7,5,6,1,2,3,4] => 01101000 => 2
[8,7,4,5,6,1,2,9,3] => 11001001 => 2
[7,3,4,5,6,1,9,2,8] => 10001010 => 3
[9,3,4,5,6,1,8,2,7] => 10001010 => 3
[9,3,7,5,6,1,8,2,4] => 10101010 => 4
[7,3,4,5,6,1,8,9,2] => 10001001 => 2
[2,3,4,5,6,9,1,7,8] => 00000100 => 1
[2,3,4,5,6,8,1,9,7] => 00000101 => 1
[2,3,4,5,9,7,1,6,8] => 00001100 => 1
[2,3,4,5,9,8,1,6,7] => 00001100 => 1
[2,3,4,9,6,7,1,5,8] => 00010100 => 2
[2,3,9,5,6,7,1,4,8] => 00100100 => 2
[2,3,9,5,6,8,1,4,7] => 00100100 => 2
[2,9,4,5,6,7,1,3,8] => 01000100 => 2
[2,9,4,5,6,8,1,3,7] => 01000100 => 2
[2,9,4,5,8,7,1,3,6] => 01001100 => 2
[2,9,4,8,6,7,1,3,5] => 01010100 => 3
[2,9,8,5,6,7,1,3,4] => 01100100 => 2
[2,8,4,5,6,7,1,9,3] => 01000101 => 2
[9,3,4,5,6,7,1,2,8] => 10000100 => 2
[9,3,4,5,6,8,1,2,7] => 10000100 => 2
[9,8,4,5,6,7,1,2,3] => 11000100 => 2
[8,3,4,5,6,7,1,9,2] => 10000101 => 2
[2,3,4,5,6,7,9,1,8] => 00000010 => 1
[2,3,4,5,6,9,8,1,7] => 00000110 => 1
[2,3,4,5,9,7,8,1,6] => 00001010 => 2
[2,3,4,9,6,7,8,1,5] => 00010010 => 2
[2,3,9,5,6,7,8,1,4] => 00100010 => 2
[2,9,4,5,6,7,8,1,3] => 01000010 => 2
[9,3,4,5,6,7,8,1,2] => 10000010 => 2
[2,3,4,5,6,7,8,9,1] => 00000001 => 0
[3,5,2,6,1,4,8,7] => 0101001 => 2
[3,5,2,6,4,1,8,7] => 0101101 => 2
[3,5,2,7,4,8,1,6] => 0101010 => 3
[3,5,2,7,4,8,6,1] => 0101011 => 2
[4,5,7,2,3,8,6,1] => 0010011 => 1
[4,5,7,2,3,8,1,6] => 0010010 => 2
[4,5,6,2,3,1,8,7] => 0010101 => 2
[4,5,6,2,1,3,8,7] => 0011001 => 1
[3,5,1,6,4,2,8,7] => 0101101 => 2
[4,5,6,1,3,2,8,7] => 0010101 => 2
[4,5,6,3,1,2,8,7] => 0011001 => 1
[4,5,7,3,2,8,1,6] => 0011010 => 2
[4,5,7,3,2,8,6,1] => 0011011 => 1
[4,6,7,3,8,2,5,1] => 0010101 => 2
[4,6,7,3,8,2,1,5] => 0010110 => 2
[4,6,7,3,8,1,2,5] => 0010100 => 2
[4,5,7,3,1,8,2,6] => 0011010 => 2
[4,5,7,1,3,8,2,6] => 0010010 => 2
[3,5,1,7,4,8,2,6] => 0101010 => 3
[2,1,5,7,4,8,3,6] => 1001010 => 3
[2,1,5,7,4,8,6,3] => 1001011 => 2
[3,5,1,7,4,8,6,2] => 0101011 => 2
[4,5,7,1,3,8,6,2] => 0010011 => 1
[4,5,7,3,1,8,6,2] => 0011011 => 1
[4,6,7,3,8,1,5,2] => 0010101 => 2
[4,6,7,3,8,5,1,2] => 0010110 => 2
[4,6,7,3,8,5,2,1] => 0010111 => 1
[5,6,7,8,3,1,4,2] => 0001101 => 1
[5,6,7,8,1,3,4,2] => 0001001 => 1
[4,6,7,1,8,3,5,2] => 0010101 => 2
[3,6,1,7,8,4,5,2] => 0100101 => 2
[2,1,6,7,8,4,5,3] => 1000101 => 2
[2,1,6,7,8,4,3,5] => 1000110 => 2
[3,6,1,7,8,4,2,5] => 0100110 => 2
[4,6,7,1,8,3,2,5] => 0010110 => 2
[5,6,7,8,1,3,2,4] => 0001010 => 2
[4,5,7,2,1,8,3,6] => 0011010 => 2
[4,6,7,2,8,1,3,5] => 0010100 => 2
[4,6,7,2,8,3,1,5] => 0010110 => 2
[4,6,7,2,8,3,5,1] => 0010101 => 2
[3,6,2,7,8,4,5,1] => 0100101 => 2
[3,6,2,7,8,4,1,5] => 0100110 => 2
[3,6,2,7,8,1,4,5] => 0100100 => 2
[3,5,2,7,1,8,4,6] => 0101010 => 3
[3,4,2,1,7,8,5,6] => 0110010 => 2
[3,4,1,2,7,8,6,5] => 0100011 => 1
[3,5,2,7,1,8,6,4] => 0101011 => 2
[3,6,2,7,8,1,5,4] => 0100101 => 2
[3,6,2,7,8,5,1,4] => 0100110 => 2
[3,6,2,7,8,5,4,1] => 0100111 => 1
[4,6,7,2,8,5,3,1] => 0010111 => 1
[4,6,7,2,8,5,1,3] => 0010110 => 2
[4,6,7,2,8,1,5,3] => 0010101 => 2
[4,5,7,2,1,8,6,3] => 0011011 => 1
[4,5,7,1,2,8,6,3] => 0010011 => 1
[3,5,1,7,2,8,6,4] => 0101011 => 2
[2,1,5,7,3,8,6,4] => 1001011 => 2
[2,1,6,7,8,3,5,4] => 1000101 => 2
[3,6,1,7,8,2,5,4] => 0100101 => 2
[4,6,7,1,8,2,5,3] => 0010101 => 2
[5,6,7,8,1,2,4,3] => 0001001 => 1
[5,6,7,8,2,1,4,3] => 0001101 => 1
[5,6,7,8,2,4,1,3] => 0001010 => 2
[5,6,7,8,2,4,3,1] => 0001011 => 1
[5,6,7,8,1,4,2,3] => 0001010 => 2
[4,6,7,1,8,5,2,3] => 0010110 => 2
[3,6,1,7,8,5,2,4] => 0100110 => 2
[2,1,6,7,8,5,3,4] => 1000110 => 2
[3,6,1,7,8,5,4,2] => 0100111 => 1
[4,6,7,1,8,5,3,2] => 0010111 => 1
[5,6,7,8,1,4,3,2] => 0001011 => 1
[5,6,7,8,4,1,3,2] => 0001101 => 1
[3,4,2,1,6,5,8,7,10,9] => 011010101 => 3
[3,5,2,6,4,1,8,7,10,9] => 010110101 => 3
[3,5,2,7,4,8,6,1,10,9] => 010101101 => 3
[3,5,2,7,4,9,6,10,8,1] => 010101011 => 3
[2,1,5,6,4,3,8,7,10,9] => 100110101 => 3
[4,5,6,3,2,1,8,7,10,9] => 001110101 => 2
[4,5,7,3,2,8,6,1,10,9] => 001101101 => 2
[4,5,7,3,2,9,6,10,8,1] => 001101011 => 2
[2,1,5,7,4,8,6,3,10,9] => 100101101 => 3
[4,6,7,3,8,5,2,1,10,9] => 001011101 => 2
[4,6,7,3,9,5,2,10,8,1] => 001011011 => 2
[2,1,5,7,4,9,6,10,8,3] => 100101011 => 3
[4,6,8,3,9,5,10,7,2,1] => 001010111 => 2
[2,1,4,3,7,8,6,5,10,9] => 101001101 => 3
[3,4,2,1,7,8,6,5,10,9] => 011001101 => 2
[3,6,2,7,8,5,4,1,10,9] => 010011101 => 2
[3,6,2,7,9,5,4,10,8,1] => 010011011 => 2
[2,1,6,7,8,5,4,3,10,9] => 100011101 => 2
[5,6,7,8,4,3,2,1,10,9] => 000111101 => 1
[5,6,7,9,4,3,2,10,8,1] => 000111011 => 1
[2,1,6,7,9,5,4,10,8,3] => 100011011 => 2
[5,6,8,9,4,3,10,7,2,1] => 000110111 => 1
[2,1,4,3,7,9,6,10,8,5] => 101001011 => 3
[3,4,2,1,7,9,6,10,8,5] => 011001011 => 2
[3,6,2,8,9,5,10,7,4,1] => 010010111 => 2
[2,1,6,8,9,5,10,7,4,3] => 100010111 => 2
[5,7,8,9,4,10,6,3,2,1] => 000101111 => 1
[6,7,8,9,10,1,4,5,3,2] => 000010011 => 1
[6,7,8,9,10,1,4,5,2,3] => 000010010 => 2
[6,7,8,9,10,4,3,2,1,5] => 000011110 => 1
[6,7,8,9,10,1,3,4,5,2] => 000010001 => 1
[6,7,8,9,10,3,4,1,2,5] => 000010100 => 2
[6,7,8,9,10,3,4,2,1,5] => 000010110 => 2
[6,7,8,9,10,2,3,4,1,5] => 000010010 => 2
[2,1,4,3,6,5,9,10,8,7] => 101010011 => 3
[3,4,2,1,6,5,9,10,8,7] => 011010011 => 2
[3,5,2,6,4,1,9,10,8,7] => 010110011 => 2
[3,5,2,8,4,9,10,7,6,1] => 010100111 => 2
[2,1,5,6,4,3,9,10,8,7] => 100110011 => 2
[4,5,6,3,2,1,9,10,8,7] => 001110011 => 1
[4,5,8,3,2,9,10,7,6,1] => 001100111 => 1
[2,1,5,8,4,9,10,7,6,3] => 100100111 => 2
[4,7,8,3,9,10,6,5,2,1] => 001001111 => 1
[2,1,4,3,8,9,10,7,6,5] => 101000111 => 2
[3,4,2,1,8,9,10,7,6,5] => 011000111 => 1
[3,7,2,8,9,10,6,5,4,1] => 010001111 => 1
[2,1,7,8,9,10,6,5,4,3] => 100001111 => 1
[6,7,8,9,10,1,5,4,3,2] => 000010111 => 1
[6,7,8,9,10,5,4,3,2,1] => 000011111 => 0
[6,5,8,7,3,4,1,2] => 1011010 => 3
[3,6,7,4,5,8,1,2] => 0010010 => 2
[2,6,7,4,5,1,8,3] => 0010101 => 2
[1,6,7,4,5,2,3,8] => 0010100 => 2
[1,5,4,7,6,2,3,8] => 0101100 => 2
[2,5,4,7,6,1,8,3] => 0101101 => 2
[3,5,4,7,6,8,1,2] => 0101010 => 3
[4,5,3,7,8,6,1,2] => 0100110 => 2
[5,4,3,8,7,6,1,2] => 1101110 => 2
[6,4,8,3,7,5,1,2] => 1010110 => 3
[6,3,8,4,5,7,1,2] => 1010010 => 3
[5,3,4,8,6,7,1,2] => 1001010 => 3
[4,3,5,6,8,7,1,2] => 1000110 => 2
[3,2,5,6,1,8,7,4] => 1001011 => 2
[4,2,5,6,8,1,7,3] => 1000101 => 2
[5,2,4,8,6,1,7,3] => 1001101 => 2
[6,2,8,4,5,1,7,3] => 1010101 => 3
[7,8,2,4,5,1,6,3] => 0100101 => 2
[7,8,1,4,5,2,3,6] => 0100100 => 2
[6,1,8,4,5,2,3,7] => 1010100 => 3
[5,1,4,8,6,2,3,7] => 1001100 => 2
[4,1,3,2,8,6,5,7] => 1010110 => 3
[5,1,3,8,2,6,4,7] => 1001010 => 3
[6,1,8,3,2,5,4,7] => 1011010 => 3
[7,8,1,3,2,5,4,6] => 0101010 => 3
[7,8,2,3,1,5,6,4] => 0101001 => 2
[6,2,8,3,1,5,7,4] => 1011001 => 2
[5,2,3,8,1,6,7,4] => 1001001 => 2
[6,3,8,2,1,7,5,4] => 1011011 => 2
[7,8,3,2,1,6,5,4] => 0111011 => 1
[7,8,4,2,6,1,5,3] => 0110101 => 2
[5,4,2,8,7,1,6,3] => 1101101 => 2
[4,5,2,7,8,1,6,3] => 0100101 => 2
[2,5,3,7,1,6,8,4] => 0101001 => 2
[1,5,3,7,2,6,4,8] => 0101010 => 3
[1,6,7,3,2,5,4,8] => 0011010 => 2
[2,6,7,3,1,5,8,4] => 0011001 => 1
[3,6,7,2,1,8,5,4] => 0011011 => 1
[7,8,5,6,2,1,4,3] => 0101101 => 2
[6,5,8,7,1,2,3,4] => 1011000 => 2
[5,4,1,8,7,2,3,6] => 1101100 => 2
[6,4,8,1,7,2,3,5] => 1010100 => 3
[7,8,3,1,2,6,4,5] => 0110010 => 2
[5,3,1,8,2,7,4,6] => 1101010 => 3
[4,3,1,2,8,7,5,6] => 1100110 => 2
[4,2,1,3,8,5,7,6] => 1100101 => 2
[5,2,1,8,3,4,7,6] => 1101001 => 2
[6,2,8,1,3,4,7,5] => 1010001 => 2
[7,8,2,1,3,4,6,5] => 0110001 => 1
[4,3,1,2,6,5,8,7] => 1100101 => 2
[5,3,1,6,2,4,8,7] => 1101001 => 2
[6,3,1,5,2,4,8,7] => 1101001 => 2
[7,3,1,5,2,8,4,6] => 1101010 => 3
[8,4,5,1,2,7,3,6] => 1010010 => 3
[7,4,5,1,2,8,3,6] => 1010010 => 3
[6,4,5,1,2,3,8,7] => 1010001 => 2
[5,4,6,1,2,3,8,7] => 1010001 => 2
[2,1,6,5,3,4,8,7] => 1011001 => 2
[3,6,1,5,2,4,8,7] => 0101001 => 2
[4,6,5,1,2,3,8,7] => 0110001 => 1
[5,6,4,1,2,3,8,7] => 0110001 => 1
[6,5,4,1,2,3,8,7] => 1110001 => 1
[7,5,4,1,2,8,3,6] => 1110010 => 2
[8,6,4,1,7,2,3,5] => 1110100 => 2
[7,6,4,1,8,2,3,5] => 1110100 => 2
[6,7,4,1,8,2,3,5] => 0110100 => 2
[5,7,4,1,2,8,3,6] => 0110010 => 2
[4,7,5,1,2,8,3,6] => 0110010 => 2
[3,7,1,5,2,8,4,6] => 0101010 => 3
[2,1,7,5,3,8,4,6] => 1011010 => 3
[2,1,8,5,3,7,4,6] => 1011010 => 3
[3,8,1,5,2,7,4,6] => 0101010 => 3
[4,8,5,1,2,7,3,6] => 0110010 => 2
[5,8,4,1,2,7,3,6] => 0110010 => 2
[6,8,4,1,7,2,3,5] => 0110100 => 2
[8,7,4,1,6,2,3,5] => 1110100 => 2
[5,8,6,7,1,2,3,4] => 0101000 => 2
[4,8,6,1,7,2,3,5] => 0110100 => 2
[3,8,1,6,7,2,4,5] => 0100100 => 2
[2,1,8,6,7,3,4,5] => 1010100 => 3
[2,1,7,6,8,3,4,5] => 1010100 => 3
[3,7,1,6,8,2,4,5] => 0100100 => 2
[4,7,6,1,8,2,3,5] => 0110100 => 2
[5,7,6,8,1,2,3,4] => 0101000 => 2
[5,4,7,1,2,8,3,6] => 1010010 => 3
[6,4,7,1,8,2,3,5] => 1010100 => 3
[7,4,6,1,8,2,3,5] => 1010100 => 3
[8,4,6,1,7,2,3,5] => 1010100 => 3
[8,3,1,6,7,2,4,5] => 1100100 => 2
[7,3,1,6,8,2,4,5] => 1100100 => 2
[6,3,1,7,8,2,4,5] => 1100100 => 2
[5,3,1,7,2,8,4,6] => 1101010 => 3
[4,3,1,2,7,8,5,6] => 1100010 => 2
[2,1,4,3,8,7,5,6] => 1010110 => 3
[3,4,1,2,8,7,5,6] => 0100110 => 2
[6,3,1,8,7,2,4,5] => 1101100 => 2
[7,3,1,8,6,2,4,5] => 1101100 => 2
[8,4,7,1,6,2,3,5] => 1010100 => 3
[7,4,8,1,6,2,3,5] => 1010100 => 3
[5,4,8,1,2,7,3,6] => 1010010 => 3
[4,5,8,1,2,7,3,6] => 0010010 => 2
[3,5,1,8,2,7,4,6] => 0101010 => 3
[2,1,5,8,3,7,4,6] => 1001010 => 3
[2,1,6,8,7,3,4,5] => 1001100 => 2
[3,6,1,8,7,2,4,5] => 0101100 => 2
[4,6,8,1,7,2,3,5] => 0010100 => 2
[5,6,8,7,1,2,3,4] => 0011000 => 1
[7,5,8,6,1,2,3,4] => 1011000 => 2
[8,5,7,6,1,2,3,4] => 1011000 => 2
[5,7,8,6,1,2,3,4] => 0011000 => 1
[4,7,8,1,6,2,3,5] => 0010100 => 2
[3,7,1,8,6,2,4,5] => 0101100 => 2
[2,1,7,8,6,3,4,5] => 1001100 => 2
[2,1,8,7,6,3,4,5] => 1011100 => 2
[3,8,1,7,6,2,4,5] => 0101100 => 2
[4,8,7,1,6,2,3,5] => 0110100 => 2
[5,8,7,6,1,2,3,4] => 0111000 => 1
[6,8,7,5,1,2,3,4] => 0111000 => 1
[6,4,7,3,8,5,1,2] => 1010110 => 3
[6,4,7,3,5,8,1,2] => 1010010 => 3
[6,4,7,2,5,1,8,3] => 1010101 => 3
[5,4,2,7,6,1,3,8] => 1101100 => 2
[5,4,2,7,6,1,8,3] => 1101101 => 2
[5,4,3,7,6,8,1,2] => 1101010 => 3
[5,4,3,7,8,6,1,2] => 1100110 => 2
[6,4,8,3,5,7,1,2] => 1010010 => 3
[5,4,3,8,6,7,1,2] => 1101010 => 3
[5,4,3,6,8,7,1,2] => 1100110 => 2
[5,4,2,6,7,1,8,3] => 1100101 => 2
[5,4,2,6,7,1,3,8] => 1100100 => 2
[5,3,2,6,1,7,4,8] => 1101010 => 3
[5,3,2,6,1,7,8,4] => 1101001 => 2
[5,3,2,6,1,8,7,4] => 1101011 => 2
[5,4,2,6,8,1,7,3] => 1100101 => 2
[5,4,2,8,6,1,7,3] => 1101101 => 2
[6,4,8,2,5,1,7,3] => 1010101 => 3
[7,8,4,2,5,1,6,3] => 0110101 => 2
[7,8,4,2,5,1,3,6] => 0110100 => 2
[5,4,2,8,6,1,3,7] => 1101100 => 2
[5,3,2,6,1,8,4,7] => 1101010 => 3
[4,3,2,1,6,8,5,7] => 1110010 => 2
[4,3,2,1,8,6,5,7] => 1110110 => 2
[5,3,2,8,1,6,4,7] => 1101010 => 3
[6,3,8,2,1,5,4,7] => 1011010 => 3
[7,8,3,2,1,5,4,6] => 0111010 => 2
[7,8,3,2,1,5,6,4] => 0111001 => 1
[6,3,8,2,1,5,7,4] => 1011001 => 2
[5,3,2,8,1,6,7,4] => 1101001 => 2
[5,4,2,7,8,1,6,3] => 1100101 => 2
[5,3,2,7,1,8,6,4] => 1101011 => 2
[5,3,2,7,1,6,8,4] => 1101001 => 2
[5,3,2,7,1,6,4,8] => 1101010 => 3
[6,3,7,2,1,5,4,8] => 1011010 => 3
[6,3,7,2,1,5,8,4] => 1011001 => 2
[6,3,7,2,1,8,5,4] => 1011011 => 2
[6,4,7,2,8,1,5,3] => 1010101 => 3
[6,5,7,8,2,1,4,3] => 1001101 => 2
[6,5,8,7,2,1,3,4] => 1011100 => 2
[6,3,7,2,1,8,4,5] => 1011010 => 3
[6,3,7,2,1,4,8,5] => 1011001 => 2
[6,3,7,2,1,4,5,8] => 1011000 => 2
[5,3,2,7,1,4,8,6] => 1101001 => 2
[5,4,2,8,7,1,3,6] => 1101100 => 2
[7,8,4,2,6,1,3,5] => 0110100 => 2
[7,8,3,2,1,6,4,5] => 0111010 => 2
[6,3,8,2,1,7,4,5] => 1011010 => 3
[5,3,2,8,1,7,4,6] => 1101010 => 3
[4,3,2,1,8,7,5,6] => 1110110 => 2
[4,3,2,1,7,5,8,6] => 1110101 => 2
[4,3,2,1,7,5,6,8] => 1110100 => 2
[4,3,2,1,8,5,7,6] => 1110101 => 2
[5,3,2,8,1,4,7,6] => 1101001 => 2
[6,3,8,2,1,4,7,5] => 1011001 => 2
[7,8,3,2,1,4,6,5] => 0111001 => 1
[6,3,8,2,1,4,5,7] => 1011000 => 2
[4,3,2,1,8,5,6,7] => 1110100 => 2
[4,3,2,1,5,8,6,7] => 1110010 => 2
[7,8,5,6,1,2,4,3] => 0101001 => 2
[7,8,4,1,6,2,5,3] => 0110101 => 2
[7,8,1,4,6,2,5,3] => 0100101 => 2
[6,1,8,4,7,2,5,3] => 1010101 => 3
[1,6,8,4,7,2,5,3] => 0010101 => 2
[1,6,8,3,2,7,5,4] => 0011011 => 1
[6,1,8,3,2,7,5,4] => 1011011 => 2
[7,8,1,3,2,6,5,4] => 0101011 => 2
[7,8,3,1,2,6,5,4] => 0110011 => 1
[7,8,3,4,6,5,1,2] => 0100110 => 2
[7,8,2,4,6,1,5,3] => 0100101 => 2
[7,8,2,3,1,6,5,4] => 0101011 => 2
[7,8,2,1,3,6,5,4] => 0110011 => 1
[7,8,1,2,3,6,5,4] => 0100011 => 1
[6,1,8,2,3,7,5,4] => 1010011 => 2
[1,6,8,2,3,7,5,4] => 0010011 => 1
[1,5,2,8,3,7,6,4] => 0101011 => 2
[5,1,2,8,3,7,6,4] => 1001011 => 2
[5,2,1,8,3,7,6,4] => 1101011 => 2
[6,2,8,1,3,7,5,4] => 1010011 => 2
[6,2,8,3,1,7,5,4] => 1011011 => 2
[6,2,8,4,7,1,5,3] => 1010101 => 3
[6,3,8,4,7,5,1,2] => 1010110 => 3
[3,6,8,4,7,5,1,2] => 0010110 => 2
[2,6,8,4,7,1,5,3] => 0010101 => 2
[2,6,8,3,1,7,5,4] => 0011011 => 1
[2,6,8,1,3,7,5,4] => 0010011 => 1
[2,5,1,8,3,7,6,4] => 0101011 => 2
[1,2,5,8,3,7,6,4] => 0001011 => 1
[2,4,1,3,8,7,6,5] => 0100111 => 1
[2,5,3,8,1,7,6,4] => 0101011 => 2
[2,5,4,8,7,1,6,3] => 0101101 => 2
[3,5,4,8,7,6,1,2] => 0101110 => 2
[5,3,4,8,7,6,1,2] => 1001110 => 2
[5,2,4,8,7,1,6,3] => 1001101 => 2
[5,2,3,8,1,7,6,4] => 1001011 => 2
[4,2,1,3,8,7,6,5] => 1100111 => 1
[4,1,2,3,8,7,6,5] => 1000111 => 1
[1,4,2,3,8,7,6,5] => 0100111 => 1
[4,1,3,2,8,7,6,5] => 1010111 => 2
[4,3,1,2,8,7,6,5] => 1100111 => 1
[6,3,8,1,2,7,5,4] => 1010011 => 2
[5,3,1,8,2,7,6,4] => 1101011 => 2
[5,1,3,8,2,7,6,4] => 1001011 => 2
[1,5,3,8,2,7,6,4] => 0101011 => 2
[1,5,4,8,7,2,6,3] => 0101101 => 2
[5,1,4,8,7,2,6,3] => 1001101 => 2
[5,4,1,8,7,2,6,3] => 1101101 => 2
[6,4,8,1,7,2,5,3] => 1010101 => 3
[6,5,8,7,1,2,4,3] => 1011001 => 2
[5,6,8,7,3,4,1,2] => 0011010 => 2
[5,6,8,7,2,1,4,3] => 0011101 => 1
[4,5,1,8,7,2,6,3] => 0101101 => 2
[4,1,5,8,7,2,6,3] => 1001101 => 2
[1,4,5,8,7,2,6,3] => 0001101 => 1
[1,3,5,8,2,7,6,4] => 0001011 => 1
[3,1,5,8,2,7,6,4] => 1001011 => 2
[3,6,8,1,2,7,5,4] => 0010011 => 1
[3,6,8,2,1,7,5,4] => 0011011 => 1
[4,6,8,2,7,1,5,3] => 0010101 => 2
[4,6,8,3,7,5,1,2] => 0010110 => 2
[4,5,3,8,7,6,1,2] => 0101110 => 2
[4,5,2,8,7,1,6,3] => 0101101 => 2
[3,5,2,8,1,7,6,4] => 0101011 => 2
[3,1,4,2,8,7,6,5] => 1010111 => 2
[3,1,2,4,8,7,6,5] => 1000111 => 1
[3,2,5,8,1,7,6,4] => 1001011 => 2
[4,2,5,8,7,1,6,3] => 1001101 => 2
[4,3,5,8,7,6,1,2] => 1001110 => 2
[3,4,5,8,7,6,1,2] => 0001110 => 1
[2,4,5,8,7,1,6,3] => 0001101 => 1
[2,3,5,8,1,7,6,4] => 0001011 => 1
[4,1,3,2,6,5,8,7] => 1010101 => 3
[5,1,3,2,6,4,8,7] => 1010101 => 3
[6,1,3,2,5,4,8,7] => 1010101 => 3
[7,1,3,2,5,4,8,6] => 1010101 => 3
[8,1,3,2,5,4,7,6] => 1010101 => 3
[8,1,4,2,5,3,7,6] => 1010101 => 3
[7,1,4,2,5,3,8,6] => 1010101 => 3
[6,1,4,2,5,3,8,7] => 1010101 => 3
[5,1,4,2,6,3,8,7] => 1010101 => 3
[2,1,6,3,5,4,8,7] => 1010101 => 3
[3,1,6,2,5,4,8,7] => 1010101 => 3
[4,1,6,2,5,3,8,7] => 1010101 => 3
[6,2,5,1,4,3,8,7] => 1010101 => 3
[5,2,6,1,4,3,8,7] => 1010101 => 3
[5,2,7,1,4,3,8,6] => 1010101 => 3
[5,2,8,1,4,3,7,6] => 1010101 => 3
[6,2,8,1,4,3,7,5] => 1010101 => 3
[6,2,7,1,4,3,8,5] => 1010101 => 3
[7,2,6,1,4,3,8,5] => 1010101 => 3
[7,2,5,1,4,3,8,6] => 1010101 => 3
[4,1,7,2,5,3,8,6] => 1010101 => 3
[3,1,7,2,5,4,8,6] => 1010101 => 3
[2,1,7,3,5,4,8,6] => 1010101 => 3
[2,1,8,3,5,4,7,6] => 1010101 => 3
[3,1,8,2,5,4,7,6] => 1010101 => 3
[4,1,8,2,5,3,7,6] => 1010101 => 3
[8,2,5,1,4,3,7,6] => 1010101 => 3
[8,2,6,1,4,3,7,5] => 1010101 => 3
[7,1,4,3,8,2,6,5] => 1010101 => 3
[8,1,4,3,7,2,6,5] => 1010101 => 3
[8,1,5,3,7,2,6,4] => 1010101 => 3
[7,1,5,3,8,2,6,4] => 1010101 => 3
[8,2,6,1,5,3,7,4] => 1010101 => 3
[5,1,8,2,6,3,7,4] => 1010101 => 3
[4,1,8,2,6,3,7,5] => 1010101 => 3
[3,1,8,2,6,4,7,5] => 1010101 => 3
[2,1,8,3,6,4,7,5] => 1010101 => 3
[2,1,7,3,6,4,8,5] => 1010101 => 3
[4,1,7,2,6,3,8,5] => 1010101 => 3
[5,1,7,2,6,3,8,4] => 1010101 => 3
[7,2,6,1,5,3,8,4] => 1010101 => 3
[6,2,7,1,5,3,8,4] => 1010101 => 3
[6,2,8,1,5,3,7,4] => 1010101 => 3
[8,1,5,2,6,3,7,4] => 1010101 => 3
[6,1,5,2,7,3,8,4] => 1010101 => 3
[6,1,4,2,7,3,8,5] => 1010101 => 3
[8,1,4,2,6,3,7,5] => 1010101 => 3
[8,1,3,2,6,4,7,5] => 1010101 => 3
[7,1,3,2,6,4,8,5] => 1010101 => 3
[6,1,3,2,7,4,8,5] => 1010101 => 3
[5,1,3,2,7,4,8,6] => 1010101 => 3
[4,1,3,2,7,5,8,6] => 1010101 => 3
[2,1,4,3,8,5,7,6] => 1010101 => 3
[3,1,4,2,8,5,7,6] => 1010101 => 3
[4,1,3,2,8,5,7,6] => 1010101 => 3
[5,1,3,2,8,4,7,6] => 1010101 => 3
[6,1,3,2,8,4,7,5] => 1010101 => 3
[8,4,7,1,3,2,6,5] => 1010101 => 3
[7,4,8,1,3,2,6,5] => 1010101 => 3
[7,3,8,1,4,2,6,5] => 1010101 => 3
[8,3,7,1,4,2,6,5] => 1010101 => 3
[6,1,4,2,8,3,7,5] => 1010101 => 3
[5,1,4,2,8,3,7,6] => 1010101 => 3
[4,1,5,2,8,3,7,6] => 1010101 => 3
[3,1,5,2,8,4,7,6] => 1010101 => 3
[2,1,5,3,8,4,7,6] => 1010101 => 3
[2,1,6,3,8,4,7,5] => 1010101 => 3
[3,1,6,2,8,4,7,5] => 1010101 => 3
[4,1,6,2,8,3,7,5] => 1010101 => 3
[5,1,6,2,8,3,7,4] => 1010101 => 3
[6,1,5,2,8,3,7,4] => 1010101 => 3
[8,3,7,1,5,2,6,4] => 1010101 => 3
[7,3,8,1,5,2,6,4] => 1010101 => 3
[6,2,7,3,8,1,5,4] => 1010101 => 3
[6,2,8,3,7,1,5,4] => 1010101 => 3
[8,3,7,2,6,1,5,4] => 1010101 => 3
[5,1,8,3,7,2,6,4] => 1010101 => 3
[4,1,8,3,7,2,6,5] => 1010101 => 3
[3,1,8,4,7,2,6,5] => 1010101 => 3
[2,1,8,4,7,3,6,5] => 1010101 => 3
[2,1,7,4,8,3,6,5] => 1010101 => 3
[3,1,7,4,8,2,6,5] => 1010101 => 3
[4,1,7,3,8,2,6,5] => 1010101 => 3
[5,1,7,3,8,2,6,4] => 1010101 => 3
[7,3,8,2,6,1,5,4] => 1010101 => 3
[8,2,6,3,7,1,5,4] => 1010101 => 3
[7,2,6,3,8,1,5,4] => 1010101 => 3
[3,4,2,6,8,1,5,7] => 0100100 => 2
[5,3,6,2,8,1,4,7] => 1010100 => 3
[5,3,6,2,4,8,1,7] => 1010010 => 3
[5,7,3,8,2,4,1,6] => 0101010 => 3
[5,7,3,8,2,4,6,1] => 0101001 => 2
[7,4,2,5,8,3,6,1] => 1100101 => 2
[7,4,2,5,8,3,1,6] => 1100110 => 2
[4,5,2,6,3,8,1,7] => 0101010 => 3
[4,5,2,1,6,8,3,7] => 0110010 => 2
[5,3,1,6,8,2,4,7] => 1100100 => 2
[5,6,2,8,1,3,4,7] => 0101000 => 2
[3,5,6,1,4,8,2,7] => 0010010 => 2
[4,1,5,6,3,8,2,7] => 1001010 => 3
[4,5,1,6,3,8,2,7] => 0101010 => 3
[4,5,6,3,2,8,1,7] => 0011010 => 2
[7,4,5,3,8,2,1,6] => 1010110 => 3
[7,4,5,3,8,2,6,1] => 1010101 => 3
[6,7,4,8,3,2,5,1] => 0101101 => 2
[6,7,4,8,3,2,1,5] => 0101110 => 2
[6,7,4,1,8,3,2,5] => 0110110 => 2
[7,4,5,3,1,8,2,6] => 1011010 => 3
[4,7,1,5,8,3,2,6] => 0100110 => 2
[5,3,7,8,1,4,2,6] => 1001010 => 3
[7,5,8,2,4,6,1,3] => 1010010 => 3
[7,3,5,8,1,4,6,2] => 1001001 => 2
[4,5,1,7,8,3,6,2] => 0100101 => 2
[7,4,1,5,8,3,6,2] => 1100101 => 2
[6,7,4,3,8,1,5,2] => 0110101 => 2
[6,7,4,8,3,1,5,2] => 0101101 => 2
[6,7,4,8,3,5,2,1] => 0101011 => 2
[5,6,7,3,8,4,2,1] => 0010111 => 1
[5,6,7,3,1,8,4,2] => 0011011 => 1
[5,6,1,7,3,8,4,2] => 0101011 => 2
[5,1,6,7,3,8,4,2] => 1001011 => 2
[6,4,7,1,8,3,5,2] => 1010101 => 3
[6,7,8,3,1,4,5,2] => 0011001 => 1
[6,7,2,8,4,5,1,3] => 0101010 => 3
[6,7,2,8,4,1,3,5] => 0101100 => 2
[6,1,7,4,8,3,2,5] => 1010110 => 3
[5,1,6,7,3,2,8,4] => 1001101 => 2
[5,6,1,7,3,2,8,4] => 0101101 => 2
[5,6,7,3,2,1,8,4] => 0011101 => 1
[5,6,7,3,2,8,4,1] => 0011011 => 1
[5,6,2,7,3,8,4,1] => 0101011 => 2
[5,6,2,7,3,1,8,4] => 0101101 => 2
[5,6,2,1,7,3,8,4] => 0110101 => 2
[6,1,7,4,2,8,3,5] => 1011010 => 3
[6,7,2,1,8,3,4,5] => 0110100 => 2
[7,5,8,2,1,3,4,6] => 1011000 => 2
[5,7,3,1,8,2,4,6] => 0110100 => 2
[4,7,1,5,2,8,3,6] => 0101010 => 3
[7,4,2,5,1,8,3,6] => 1101010 => 3
[6,7,4,2,1,8,3,5] => 0111010 => 2
[6,7,4,2,8,3,1,5] => 0110110 => 2
[6,7,4,2,8,3,5,1] => 0110101 => 2
[3,6,7,2,8,4,5,1] => 0010101 => 2
[3,6,7,2,8,4,1,5] => 0010110 => 2
[3,6,7,2,1,8,4,5] => 0011010 => 2
[5,7,3,8,2,1,4,6] => 0101100 => 2
[3,4,7,8,2,1,5,6] => 0001100 => 1
[3,7,8,1,4,6,2,5] => 0010010 => 2
[3,4,7,8,2,6,1,5] => 0001010 => 2
[5,7,3,8,2,6,1,4] => 0101010 => 3
[3,6,7,2,8,5,1,4] => 0010110 => 2
[3,6,7,8,5,2,1,4] => 0001110 => 1
[3,6,7,8,5,2,4,1] => 0001101 => 1
[6,4,7,8,2,5,3,1] => 1001011 => 2
[6,4,7,8,2,1,5,3] => 1001101 => 2
[4,1,5,7,8,2,6,3] => 1000101 => 2
[5,3,7,8,1,6,2,4] => 1001010 => 3
[6,7,2,8,5,1,3,4] => 0101100 => 2
[6,4,1,7,8,2,5,3] => 1100101 => 2
[5,1,6,2,7,8,4,3] => 1010011 => 2
[5,6,2,1,7,8,4,3] => 0110011 => 1
[5,6,2,7,1,8,4,3] => 0101011 => 2
[5,6,2,7,8,4,3,1] => 0100111 => 1
[5,6,7,2,8,4,3,1] => 0010111 => 1
[5,6,7,2,1,8,4,3] => 0011011 => 1
[5,6,1,7,2,8,4,3] => 0101011 => 2
[5,1,6,7,2,8,4,3] => 1001011 => 2
[6,4,7,1,8,2,5,3] => 1010101 => 3
[3,6,7,1,8,5,2,4] => 0010110 => 2
[6,7,8,5,2,4,1,3] => 0011010 => 2
[6,7,8,3,5,1,4,2] => 0010101 => 2
[4,6,7,8,1,5,3,2] => 0001011 => 1
[5,1,6,7,8,4,3,2] => 1000111 => 1
[5,6,1,7,8,4,3,2] => 0100111 => 1
[5,6,7,1,8,4,3,2] => 0010111 => 1
[8,6,1,3,4,2,5,7] => 1100100 => 2
[8,3,2,5,1,6,4,7] => 1101010 => 3
[8,5,3,6,2,4,1,7] => 1101010 => 3
[5,3,2,7,4,1,8,6] => 1101101 => 2
[7,5,3,8,2,4,6,1] => 1101001 => 2
[7,2,4,5,8,3,6,1] => 1000101 => 2
[2,4,5,3,7,1,8,6] => 0010101 => 2
[8,2,4,5,6,3,1,7] => 1000110 => 2
[8,2,4,5,6,1,3,7] => 1000100 => 2
[8,1,2,4,5,6,3,7] => 1000010 => 2
[8,2,5,1,3,6,4,7] => 1010010 => 3
[8,5,6,2,1,4,3,7] => 1011010 => 3
[8,5,3,6,4,1,2,7] => 1101100 => 2
[8,4,1,5,6,3,2,7] => 1100110 => 2
[8,1,4,5,6,3,2,7] => 1000110 => 2
[4,5,3,7,2,1,8,6] => 0101101 => 2
[7,4,5,8,3,2,6,1] => 1001101 => 2
[4,3,6,7,2,8,5,1] => 1001011 => 2
[4,3,6,7,2,8,1,5] => 1001010 => 3
[1,4,3,6,7,2,8,5] => 0100101 => 2
[4,5,3,7,1,8,2,6] => 0101010 => 3
[4,1,5,3,7,2,8,6] => 1010101 => 3
[5,3,4,7,1,2,8,6] => 1001001 => 2
[7,5,8,2,1,4,6,3] => 1011001 => 2
[7,5,3,8,4,1,6,2] => 1101101 => 2
[7,4,5,8,3,6,1,2] => 1001010 => 3
[4,3,6,7,8,1,5,2] => 1000101 => 2
[1,6,4,7,8,3,5,2] => 0100101 => 2
[6,4,7,8,3,5,2,1] => 1001011 => 2
[3,5,6,7,8,4,1,2] => 0000110 => 1
[3,1,5,6,7,8,4,2] => 1000011 => 1
[4,6,1,7,8,3,5,2] => 0100101 => 2
[3,6,7,1,4,8,5,2] => 0010011 => 1
[6,2,4,1,7,8,5,3] => 1010011 => 2
[2,6,7,1,4,8,3,5] => 0010010 => 2
[4,3,6,7,8,1,2,5] => 1000100 => 2
[1,5,3,6,7,8,2,4] => 0100010 => 2
[3,5,6,7,8,2,1,4] => 0000110 => 1
[3,5,6,7,8,2,4,1] => 0000101 => 1
[5,2,7,1,3,8,4,6] => 1010010 => 3
[5,3,1,7,8,2,4,6] => 1100100 => 2
[4,5,2,7,8,1,3,6] => 0100100 => 2
[4,2,6,7,8,3,1,5] => 1000110 => 2
[4,2,6,7,8,3,5,1] => 1000101 => 2
[3,6,2,7,4,8,5,1] => 0101011 => 2
[3,6,2,7,4,8,1,5] => 0101010 => 3
[3,2,1,6,4,7,8,5] => 1101001 => 2
[3,7,4,2,1,5,8,6] => 0111001 => 1
[1,7,3,4,2,5,8,6] => 0101001 => 2
[4,7,2,1,3,5,8,6] => 0110001 => 1
[7,8,4,2,1,3,6,5] => 0111001 => 1
[7,8,1,3,4,2,6,5] => 0100101 => 2
[7,8,3,4,2,1,6,5] => 0101101 => 2
[6,3,2,7,1,8,5,4] => 1101011 => 2
[3,6,2,7,1,8,5,4] => 0101011 => 2
[6,7,3,8,2,5,4,1] => 0101011 => 2
[6,4,7,8,5,2,3,1] => 1001101 => 2
[2,6,4,7,8,1,5,3] => 0100101 => 2
[4,6,2,7,8,1,5,3] => 0100101 => 2
[7,4,5,8,6,2,1,3] => 1001110 => 2
[7,4,1,5,8,6,2,3] => 1100110 => 2
[7,5,3,8,6,1,2,4] => 1101100 => 2
[7,5,8,2,1,6,3,4] => 1011010 => 3
[6,2,7,1,3,8,5,4] => 1010011 => 2
[6,3,1,7,8,2,5,4] => 1100101 => 2
[4,6,1,7,8,5,2,3] => 0100110 => 2
[5,1,2,6,7,8,4,3] => 1000011 => 1
[5,2,6,7,8,4,1,3] => 1000110 => 2
[5,2,6,7,8,4,3,1] => 1000111 => 1
[2,5,6,7,8,4,1,3] => 0000110 => 1
[1,5,2,6,7,8,4,3] => 0100011 => 1
[1,6,4,7,8,5,2,3] => 0100110 => 2
[2,6,7,1,3,8,5,4] => 0010011 => 1
[6,7,8,2,1,5,4,3] => 0011011 => 1
[6,7,3,8,5,1,4,2] => 0101101 => 2
[6,4,7,8,5,3,1,2] => 1001110 => 2
[4,5,2,3,7,6,1,8] => 0100110 => 2
[6,4,3,7,2,5,1,8] => 1101010 => 3
[8,4,3,6,5,1,2,7] => 1101100 => 2
[1,5,6,3,4,8,7,2] => 0010011 => 1
[4,6,2,7,3,5,1,8] => 0101010 => 3
[3,2,6,7,4,5,1,8] => 1001010 => 3
[4,7,2,6,5,3,1,8] => 0101110 => 2
[5,7,6,2,4,3,1,8] => 0110110 => 2
[1,7,5,4,8,3,6,2] => 0110101 => 2
[8,7,5,4,1,3,2,6] => 1111010 => 2
[6,8,5,4,2,1,3,7] => 0111100 => 1
[5,8,6,2,4,1,3,7] => 0110100 => 2
[4,8,2,6,5,1,3,7] => 0101100 => 2
[3,2,8,6,5,1,4,7] => 1011100 => 2
[4,1,2,6,5,8,7,3] => 1001011 => 2
[5,1,6,2,4,8,7,3] => 1010011 => 2
[6,1,5,4,2,8,7,3] => 1011011 => 2
[7,1,5,4,8,2,6,3] => 1010101 => 3
[8,1,5,4,7,6,2,3] => 1010110 => 3
[1,8,6,7,4,5,3,2] => 0101011 => 2
[8,1,6,7,4,5,2,3] => 1001010 => 3
[7,1,6,8,4,2,5,3] => 1001101 => 2
[6,1,7,8,2,4,5,3] => 1001001 => 2
[5,1,7,2,8,4,6,3] => 1010101 => 3
[4,1,2,7,8,5,6,3] => 1000101 => 2
[3,2,1,7,8,5,6,4] => 1100101 => 2
[3,2,8,7,1,5,4,6] => 1011010 => 3
[4,8,2,7,1,5,3,6] => 0101010 => 3
[5,8,7,2,1,4,3,6] => 0111010 => 2
[6,8,7,1,2,4,3,5] => 0110010 => 2
[7,8,6,1,4,2,3,5] => 0110100 => 2
[8,7,6,1,4,3,2,5] => 1110110 => 2
[1,7,6,8,4,3,5,2] => 0101101 => 2
[1,6,7,8,3,4,5,2] => 0001001 => 1
[8,6,7,1,3,4,2,5] => 1010010 => 3
[7,6,8,1,3,2,4,5] => 1010100 => 3
[5,7,8,2,1,3,4,6] => 0011000 => 1
[4,7,2,8,1,3,5,6] => 0101000 => 2
[3,2,6,8,4,1,5,7] => 1001100 => 2
[4,6,2,8,3,1,5,7] => 0101100 => 2
[5,6,8,2,3,1,4,7] => 0010100 => 2
[6,5,8,3,2,1,4,7] => 1011100 => 2
[7,5,8,3,1,2,4,6] => 1011000 => 2
[8,5,7,3,1,4,2,6] => 1011010 => 3
[1,5,7,3,8,4,6,2] => 0010101 => 2
[1,4,3,7,8,5,6,2] => 0100101 => 2
[8,4,3,7,1,5,2,6] => 1101010 => 3
[6,4,3,8,2,1,5,7] => 1101100 => 2
[4,5,2,3,8,1,6,7] => 0100100 => 2
[3,2,5,4,8,1,6,7] => 1010100 => 3
[4,5,2,3,1,8,7,6] => 0101011 => 2
[6,4,3,1,2,8,7,5] => 1110011 => 1
[7,4,3,1,8,2,6,5] => 1110101 => 2
[8,4,3,1,7,6,2,5] => 1110110 => 2
[1,5,8,3,7,6,4,2] => 0010111 => 1
[8,5,1,3,7,6,2,4] => 1100110 => 2
[7,5,1,3,8,2,6,4] => 1100101 => 2
[6,5,1,3,2,8,7,4] => 1101011 => 2
[5,6,1,2,3,8,7,4] => 0100011 => 1
[4,6,2,1,3,8,7,5] => 0110011 => 1
[3,2,6,1,4,8,7,5] => 1010011 => 2
[3,2,7,1,8,4,6,5] => 1010101 => 3
[4,7,2,1,8,3,6,5] => 0110101 => 2
[5,7,1,2,8,3,6,4] => 0100101 => 2
[6,7,1,8,2,3,5,4] => 0101001 => 2
[7,6,1,8,3,2,5,4] => 1101101 => 2
[8,6,1,7,3,5,2,4] => 1101010 => 3
[1,6,8,7,3,5,4,2] => 0011011 => 1
[1,7,8,6,5,3,4,2] => 0011101 => 1
[8,7,1,6,5,3,2,4] => 1101110 => 2
[7,8,1,6,5,2,3,4] => 0101100 => 2
[6,8,1,7,2,5,3,4] => 0101010 => 3
[5,8,1,2,7,6,3,4] => 0100110 => 2
[4,8,2,1,7,6,3,5] => 0110110 => 2
[3,2,8,1,7,6,4,5] => 1010110 => 3
[4,1,2,8,7,6,5,3] => 1001111 => 1
[5,1,8,2,7,6,4,3] => 1010111 => 2
[6,1,8,7,2,5,4,3] => 1011011 => 2
[7,1,8,6,5,2,4,3] => 1011101 => 2
[8,1,7,6,5,4,2,3] => 1011110 => 2
[3,1,2,6,5,8,7,4] => 1001011 => 2
[3,1,6,2,4,8,7,5] => 1010011 => 2
[3,1,5,2,4,8,7,6] => 1010011 => 2
[4,5,1,2,3,8,7,6] => 0100011 => 1
[4,6,1,2,3,8,7,5] => 0100011 => 1
[1,6,5,3,4,8,7,2] => 0110011 => 1
[6,1,5,2,4,8,7,3] => 1010011 => 2
[6,5,1,2,3,8,7,4] => 1100011 => 1
[6,4,1,2,3,8,7,5] => 1100011 => 1
[5,4,1,2,3,8,7,6] => 1100011 => 1
[5,4,1,2,7,3,6,8] => 1100100 => 2
[6,4,1,7,2,3,5,8] => 1101000 => 2
[6,4,1,8,2,3,5,7] => 1101000 => 2
[7,4,1,2,8,3,6,5] => 1100101 => 2
[7,5,1,2,8,3,6,4] => 1100101 => 2
[7,1,5,2,8,4,6,3] => 1010101 => 3
[1,7,5,3,8,4,6,2] => 0110101 => 2
[1,8,5,3,7,4,6,2] => 0110101 => 2
[8,1,5,2,7,4,6,3] => 1010101 => 3
[8,5,1,2,7,3,6,4] => 1100101 => 2
[8,4,1,2,7,3,6,5] => 1100101 => 2
[8,4,1,7,2,3,5,6] => 1101000 => 2
[7,4,1,6,2,3,5,8] => 1101000 => 2
[8,6,1,7,2,3,5,4] => 1101001 => 2
[8,1,6,7,2,4,5,3] => 1001001 => 2
[1,8,6,7,3,4,5,2] => 0101001 => 2
[1,7,6,8,3,4,5,2] => 0101001 => 2
[7,1,6,8,2,4,5,3] => 1001001 => 2
[7,6,1,8,2,3,5,4] => 1101001 => 2
[4,7,1,2,8,3,6,5] => 0100101 => 2
[3,1,7,2,8,4,6,5] => 1010101 => 3
[3,1,2,7,8,5,6,4] => 1000101 => 2
[1,4,3,8,7,5,6,2] => 0101101 => 2
[4,1,2,8,7,5,6,3] => 1001101 => 2
[3,1,2,8,7,5,6,4] => 1001101 => 2
[3,1,8,2,7,4,6,5] => 1010101 => 3
[3,1,8,7,2,4,5,6] => 1011000 => 2
[3,1,7,6,2,4,5,8] => 1011000 => 2
[4,7,1,6,2,3,5,8] => 0101000 => 2
[4,8,1,6,2,3,5,7] => 0101000 => 2
[4,8,1,7,2,3,5,6] => 0101000 => 2
[4,8,1,2,7,3,6,5] => 0100101 => 2
[5,8,1,2,7,3,6,4] => 0100101 => 2
[5,1,8,2,7,4,6,3] => 1010101 => 3
[1,5,8,3,7,4,6,2] => 0010101 => 2
[1,6,8,7,3,4,5,2] => 0011001 => 1
[6,1,8,7,2,4,5,3] => 1011001 => 2
[6,8,1,7,2,3,5,4] => 0101001 => 2
[6,8,7,1,2,3,4,5] => 0110000 => 1
[5,8,7,1,2,3,4,6] => 0110000 => 1
[5,8,6,1,2,3,4,7] => 0110000 => 1
[5,7,6,1,2,3,4,8] => 0110000 => 1
[7,8,1,6,2,3,5,4] => 0101001 => 2
[7,1,8,6,2,4,5,3] => 1011001 => 2
[1,7,8,6,3,4,5,2] => 0011001 => 1
[1,8,7,6,3,4,5,2] => 0111001 => 1
[8,1,7,6,2,4,5,3] => 1011001 => 2
[8,7,1,6,2,3,5,4] => 1101001 => 2
[3,2,5,1,6,4,8,7] => 1010101 => 3
[3,2,5,4,7,1,8,6] => 1010101 => 3
[4,2,5,3,7,6,8,1] => 1010101 => 3
[4,2,5,3,7,1,8,6] => 1010101 => 3
[4,2,5,3,6,1,8,7] => 1010101 => 3
[4,2,5,1,6,3,8,7] => 1010101 => 3
[3,1,5,4,6,2,8,7] => 1010101 => 3
[4,1,5,3,6,2,8,7] => 1010101 => 3
[4,3,5,1,6,2,8,7] => 1010101 => 3
[4,3,5,2,7,1,8,6] => 1010101 => 3
[4,3,6,2,7,5,8,1] => 1010101 => 3
[4,3,6,2,7,1,8,5] => 1010101 => 3
[4,3,6,1,7,2,8,5] => 1010101 => 3
[4,3,5,1,7,2,8,6] => 1010101 => 3
[3,1,5,4,7,2,8,6] => 1010101 => 3
[2,1,5,4,7,3,8,6] => 1010101 => 3
[3,1,5,4,7,6,8,2] => 1010101 => 3
[4,1,5,3,7,6,8,2] => 1010101 => 3
[4,3,5,1,7,6,8,2] => 1010101 => 3
[4,3,6,1,7,5,8,2] => 1010101 => 3
[4,3,6,5,7,1,8,2] => 1010101 => 3
[5,3,6,4,7,2,8,1] => 1010101 => 3
[5,3,6,4,7,1,8,2] => 1010101 => 3
[5,3,6,1,7,4,8,2] => 1010101 => 3
[5,1,6,3,7,4,8,2] => 1010101 => 3
[4,1,6,3,7,5,8,2] => 1010101 => 3
[3,1,6,4,7,5,8,2] => 1010101 => 3
[2,1,6,4,7,5,8,3] => 1010101 => 3
[2,1,6,4,7,3,8,5] => 1010101 => 3
[3,1,6,4,7,2,8,5] => 1010101 => 3
[4,1,6,3,7,2,8,5] => 1010101 => 3
[5,1,6,3,7,2,8,4] => 1010101 => 3
[5,3,6,1,7,2,8,4] => 1010101 => 3
[5,3,6,2,7,1,8,4] => 1010101 => 3
[5,3,6,2,7,4,8,1] => 1010101 => 3
[5,2,6,3,7,4,8,1] => 1010101 => 3
[5,2,6,3,7,1,8,4] => 1010101 => 3
[5,2,6,1,7,3,8,4] => 1010101 => 3
[4,2,5,1,7,3,8,6] => 1010101 => 3
[4,2,6,1,7,3,8,5] => 1010101 => 3
[4,2,6,3,7,1,8,5] => 1010101 => 3
[4,2,6,3,7,5,8,1] => 1010101 => 3
[3,2,6,4,7,5,8,1] => 1010101 => 3
[3,2,6,4,7,1,8,5] => 1010101 => 3
[3,2,6,1,7,4,8,5] => 1010101 => 3
[3,2,5,1,7,4,8,6] => 1010101 => 3
[3,2,4,1,7,5,8,6] => 1010101 => 3
[3,1,4,2,7,6,8,5] => 1010101 => 3
[3,2,5,1,7,6,8,4] => 1010101 => 3
[3,2,6,1,7,5,8,4] => 1010101 => 3
[3,2,6,5,7,1,8,4] => 1010101 => 3
[4,2,6,5,7,3,8,1] => 1010101 => 3
[4,2,6,5,7,1,8,3] => 1010101 => 3
[4,2,6,1,7,5,8,3] => 1010101 => 3
[4,2,5,1,7,6,8,3] => 1010101 => 3
[4,1,5,2,7,6,8,3] => 1010101 => 3
[3,1,5,2,7,6,8,4] => 1010101 => 3
[2,1,5,3,7,6,8,4] => 1010101 => 3
[2,1,6,3,7,5,8,4] => 1010101 => 3
[3,1,6,2,7,5,8,4] => 1010101 => 3
[4,1,6,2,7,5,8,3] => 1010101 => 3
[5,1,6,2,7,4,8,3] => 1010101 => 3
[5,2,6,1,7,4,8,3] => 1010101 => 3
[5,2,6,4,7,1,8,3] => 1010101 => 3
[5,2,6,4,7,3,8,1] => 1010101 => 3
[5,4,6,2,7,3,8,1] => 1010101 => 3
[5,4,6,2,7,1,8,3] => 1010101 => 3
[5,4,6,1,7,2,8,3] => 1010101 => 3
[5,1,6,4,7,2,8,3] => 1010101 => 3
[4,1,6,5,7,2,8,3] => 1010101 => 3
[3,1,6,5,7,2,8,4] => 1010101 => 3
[2,1,6,5,7,3,8,4] => 1010101 => 3
[3,1,6,5,7,4,8,2] => 1010101 => 3
[4,1,6,5,7,3,8,2] => 1010101 => 3
[5,1,6,4,7,3,8,2] => 1010101 => 3
[5,4,6,1,7,3,8,2] => 1010101 => 3
[5,4,6,3,7,1,8,2] => 1010101 => 3
[8,3,5,2,1,6,4,7] => 1011010 => 3
[8,6,3,5,2,4,1,7] => 1101010 => 3
[3,7,5,2,4,1,8,6] => 0110101 => 2
[8,3,7,5,2,4,6,1] => 1011001 => 2
[8,2,4,5,7,3,6,1] => 1000101 => 2
[2,4,5,7,3,1,8,6] => 0001101 => 1
[8,2,4,6,5,3,1,7] => 1001110 => 2
[8,2,5,4,6,1,3,7] => 1010100 => 3
[8,6,3,5,1,4,2,7] => 1101010 => 3
[8,6,1,4,5,3,2,7] => 1100110 => 2
[8,1,5,6,4,3,2,7] => 1001110 => 2
[5,7,4,3,2,1,8,6] => 0111101 => 1
[8,5,7,4,3,2,6,1] => 1011101 => 2
[4,6,8,3,2,7,5,1] => 0011011 => 1
[4,7,6,3,2,8,1,5] => 0111010 => 2
[1,4,6,7,3,2,8,5] => 0001101 => 1
[5,4,7,3,1,8,2,6] => 1011010 => 3
[1,7,4,5,3,2,8,6] => 0101101 => 2
[3,7,5,1,4,2,8,6] => 0110101 => 2
[5,7,4,2,1,3,8,6] => 0111001 => 1
[8,5,7,4,2,1,6,3] => 1011101 => 2
[8,3,7,5,1,4,6,2] => 1011001 => 2
[8,4,1,7,5,3,6,2] => 1101101 => 2
[4,6,3,8,7,1,5,2] => 0101101 => 2
[1,7,4,8,6,3,5,2] => 0101101 => 2
[8,4,7,6,3,5,2,1] => 1011011 => 2
[3,6,5,8,7,4,1,2] => 0101110 => 2
[3,1,5,8,6,7,4,2] => 1001011 => 2
[4,8,1,6,7,3,5,2] => 0100101 => 2
[3,6,4,1,8,7,5,2] => 0110111 => 1
[8,2,6,1,4,7,5,3] => 1010011 => 2
[2,7,6,8,1,4,3,5] => 0101010 => 3
[3,7,1,6,4,8,2,5] => 0101010 => 3
[1,7,3,5,6,8,2,4] => 0100010 => 2
[1,3,6,7,5,8,2,4] => 0001010 => 2
[3,7,6,5,8,2,1,4] => 0110110 => 2
[3,6,8,5,7,2,4,1] => 0010101 => 2
[2,3,5,7,6,8,1,4] => 0001010 => 2
[2,1,6,5,7,8,3,4] => 1010010 => 3
[4,2,7,6,8,3,1,5] => 1010110 => 3
[4,2,6,8,7,3,5,1] => 1001101 => 2
[3,8,2,4,6,7,5,1] => 0100011 => 1
[3,7,2,6,4,8,1,5] => 0101010 => 3
[3,2,6,1,4,7,8,5] => 1010001 => 2
[5,3,7,2,1,8,4,6] => 1011010 => 3
[4,7,3,2,1,5,8,6] => 0111001 => 1
[8,7,6,1,3,4,2,5] => 1110010 => 2
[8,5,7,3,2,1,6,4] => 1011101 => 2
[8,3,6,7,2,1,5,4] => 1001101 => 2
[3,7,8,6,2,1,5,4] => 0011101 => 1
[8,7,6,3,5,2,4,1] => 1110101 => 2
[2,7,4,8,1,6,5,3] => 0101011 => 2
[4,6,8,2,1,7,5,3] => 0011011 => 1
[8,4,1,5,7,2,6,3] => 1100101 => 2
[8,5,3,7,1,6,2,4] => 1101010 => 3
[8,5,7,2,1,3,6,4] => 1011001 => 2
[8,2,6,7,1,3,5,4] => 1001001 => 2
[8,3,6,1,7,5,2,4] => 1010110 => 3
[4,6,1,8,7,2,5,3] => 0101101 => 2
[8,1,2,5,6,7,4,3] => 1000011 => 1
[8,2,6,5,7,4,1,3] => 1010110 => 3
[2,1,7,8,5,6,4,3] => 1001011 => 2
[8,2,5,7,6,4,3,1] => 1001111 => 1
[2,7,6,8,5,4,1,3] => 0101110 => 2
[1,7,2,5,8,6,4,3] => 0100111 => 1
[1,7,4,8,2,6,5,3] => 0101011 => 2
[3,7,8,1,6,5,2,4] => 0010110 => 2
[2,7,8,6,1,3,5,4] => 0011001 => 1
[8,7,6,3,5,1,4,2] => 1110101 => 2
[8,4,7,6,5,1,3,2] => 1011101 => 2
[8,7,1,5,6,4,3,2] => 1100111 => 1
[8,1,6,7,5,4,3,2] => 1001111 => 1
[6,5,3,1,2,4,8,7] => 1110001 => 1
[4,6,3,5,1,2,8,7] => 0101001 => 2
[8,5,3,7,2,1,4,6] => 1101100 => 2
[6,8,1,4,5,7,3,2] => 0100011 => 1
[8,7,2,4,5,1,3,6] => 1100100 => 2
[3,6,2,4,5,1,8,7] => 0100101 => 2
[2,6,1,4,5,3,8,7] => 0100101 => 2
[6,1,2,4,5,3,8,7] => 1000101 => 2
[5,6,3,2,1,4,8,7] => 0111001 => 1
[5,4,3,6,1,2,8,7] => 1101001 => 2
[6,3,1,4,5,2,8,7] => 1100101 => 2
[3,1,6,4,5,2,8,7] => 1010101 => 3
[8,3,7,4,5,1,2,6] => 1010100 => 3
[5,8,7,4,2,6,3,1] => 0111011 => 1
[2,8,7,4,1,6,3,5] => 0111010 => 2
[8,1,7,4,2,6,3,5] => 1011010 => 3
[3,7,8,4,5,1,2,6] => 0010100 => 2
[2,1,8,7,5,3,4,6] => 1011100 => 2
[2,1,6,8,5,7,3,4] => 1001010 => 3
[5,6,3,8,1,7,2,4] => 0101010 => 3
[7,6,1,4,5,8,3,2] => 1100011 => 1
[3,7,6,4,5,8,2,1] => 0110011 => 1
[8,5,7,4,1,6,3,2] => 1011011 => 2
[5,1,8,4,7,6,2,3] => 1010110 => 3
[2,5,8,4,7,6,1,3] => 0010110 => 2
[2,4,8,3,5,6,7,1] => 0010001 => 1
[4,1,8,3,5,6,7,2] => 1010001 => 2
[3,8,4,2,5,6,7,1] => 0110001 => 1
[8,4,1,3,5,6,7,2] => 1100001 => 1
[7,5,8,4,3,6,1,2] => 1011010 => 3
[6,5,3,8,4,1,7,2] => 1101101 => 2
[2,1,5,8,4,6,7,3] => 1001001 => 2
[2,1,4,8,3,6,7,5] => 1001001 => 2
[6,4,3,8,2,1,7,5] => 1101101 => 2
[7,3,8,4,2,6,1,5] => 1011010 => 3
[8,3,1,2,5,6,7,4] => 1100001 => 1
[3,1,8,2,5,6,7,4] => 1010001 => 2
[2,3,8,1,5,6,7,4] => 0010001 => 1
[4,3,8,2,5,6,7,1] => 1010001 => 2
[4,8,2,3,5,6,7,1] => 0100001 => 1
[3,8,2,1,5,6,7,4] => 0110001 => 1
[2,8,1,3,5,6,7,4] => 0100001 => 1
[8,1,2,3,5,6,7,4] => 1000001 => 1
[7,8,2,4,3,6,1,5] => 0101010 => 3
[6,8,3,2,4,1,7,5] => 0110101 => 2
[2,1,8,3,4,6,7,5] => 1010001 => 2
[2,1,7,8,5,4,3,6] => 1001110 => 2
[5,7,3,8,1,4,2,6] => 0101010 => 3
[7,1,8,4,5,3,2,6] => 1010110 => 3
[2,7,8,4,5,3,1,6] => 0010110 => 2
[8,7,1,4,3,6,2,5] => 1101010 => 3
[3,8,7,4,2,6,1,5] => 0111010 => 2
[5,7,8,4,3,6,2,1] => 0011011 => 1
[5,6,3,8,4,2,7,1] => 0101101 => 2
[4,8,3,6,2,1,7,5] => 0101101 => 2
[8,6,3,1,4,2,7,5] => 1110101 => 2
[7,5,3,8,2,4,1,6] => 1101010 => 3
[2,4,3,1,8,5,7,6] => 0110101 => 2
[4,1,3,2,6,8,7,5] => 1010011 => 2
[7,5,3,6,2,8,1,4] => 1101010 => 3
[8,6,3,5,1,2,7,4] => 1101001 => 2
[5,8,3,2,6,1,7,4] => 0110101 => 2
[4,5,3,8,6,2,7,1] => 0101101 => 2
[3,5,8,4,7,6,2,1] => 0010111 => 1
[5,8,2,4,7,6,1,3] => 0100110 => 2
[8,7,5,4,1,6,2,3] => 1111010 => 2
[2,7,6,4,5,8,1,3] => 0110010 => 2
[7,1,6,4,5,8,2,3] => 1010010 => 3
[5,7,3,6,1,8,2,4] => 0101010 => 3
[2,1,7,6,5,8,3,4] => 1011010 => 3
[2,1,8,5,3,6,7,4] => 1011001 => 2
[6,8,3,5,2,1,7,4] => 0101101 => 2
[7,8,5,4,2,6,1,3] => 0111010 => 2
[8,1,4,2,5,6,7,3] => 1010001 => 2
[2,8,4,1,5,6,7,3] => 0110001 => 1
[4,8,1,2,5,6,7,3] => 0100001 => 1
[3,4,8,1,5,6,7,2] => 0010001 => 1
[3,4,2,8,5,6,7,1] => 0101001 => 2
[2,4,1,8,5,6,7,3] => 0101001 => 2
[4,1,2,8,5,6,7,3] => 1001001 => 2
[8,4,2,1,5,6,7,3] => 1110001 => 1
[7,5,2,4,8,6,1,3] => 1100110 => 2
[6,5,3,2,8,1,7,4] => 1110101 => 2
[2,1,5,3,8,6,7,4] => 1010101 => 3
[6,4,3,5,8,1,7,2] => 1100101 => 2
[7,3,5,4,8,6,1,2] => 1010110 => 3
[8,3,4,1,5,6,7,2] => 1010001 => 2
[4,3,1,8,5,6,7,2] => 1101001 => 2
[3,1,4,8,5,6,7,2] => 1001001 => 2
[6,5,3,7,2,8,4,1] => 1101011 => 2
[6,3,7,4,5,8,2,1] => 1010011 => 2
[6,7,2,4,5,8,3,1] => 0100011 => 1
[5,1,7,4,8,6,3,2] => 1010111 => 2
[2,5,7,4,8,6,3,1] => 0010111 => 1
[5,6,3,7,1,8,4,2] => 0101011 => 2
[3,8,7,4,5,2,1,6] => 0110110 => 2
[3,7,5,4,8,6,2,1] => 0110111 => 1
[5,7,1,4,8,6,2,3] => 0100110 => 2
[5,6,3,1,8,2,7,4] => 0110101 => 2
[4,6,3,5,8,2,7,1] => 0100101 => 2
[4,6,3,8,1,2,7,5] => 0101001 => 2
[3,7,8,4,1,6,2,5] => 0011010 => 2
[3,2,5,1,6,8,4,7] => 1010010 => 3
[3,6,2,5,4,8,1,7] => 0101010 => 3
[3,5,2,4,7,1,8,6] => 0100101 => 2
[3,5,8,2,4,7,6,1] => 0010011 => 1
[4,2,5,8,3,7,6,1] => 1001011 => 2
[4,2,6,5,3,8,1,7] => 1011010 => 3
[5,4,2,1,6,8,3,7] => 1110010 => 2
[6,3,5,1,4,8,2,7] => 1010010 => 3
[4,6,1,5,3,8,2,7] => 0101010 => 3
[5,1,6,4,3,8,2,7] => 1011010 => 3
[5,4,3,2,7,1,8,6] => 1110101 => 2
[5,4,3,8,2,7,6,1] => 1101011 => 2
[4,3,6,2,8,7,5,1] => 1010111 => 2
[4,3,7,6,2,1,8,5] => 1011101 => 2
[6,4,3,1,7,2,8,5] => 1110101 => 2
[7,5,4,3,1,8,2,6] => 1111010 => 2
[1,4,7,5,8,3,2,6] => 0010110 => 2
[7,1,3,5,8,4,2,6] => 1000110 => 2
[7,2,5,8,4,1,3,6] => 1001100 => 2
[2,8,5,7,4,6,1,3] => 0101010 => 3
[3,5,8,7,1,4,6,2] => 0011001 => 1
[1,4,5,8,7,3,6,2] => 0001101 => 1
[1,5,4,8,7,3,6,2] => 0101101 => 2
[6,4,3,8,1,7,5,2] => 1101011 => 2
[4,3,7,1,8,6,5,2] => 1010111 => 2
[4,8,3,7,6,5,2,1] => 0101111 => 1
[5,3,8,7,6,4,2,1] => 1011111 => 1
[7,5,3,1,8,6,4,2] => 1110111 => 1
[1,8,6,5,3,7,4,2] => 0111011 => 1
[1,5,8,6,3,7,4,2] => 0011011 => 1
[4,6,1,8,7,3,5,2] => 0101101 => 2
[6,8,7,3,1,4,5,2] => 0111001 => 1
[6,2,8,7,4,5,1,3] => 1011010 => 3
[7,6,2,8,4,1,3,5] => 1101100 => 2
[7,3,1,6,8,4,2,5] => 1100110 => 2
[1,7,6,4,8,3,2,5] => 0110110 => 2
[5,7,1,6,3,2,8,4] => 0101101 => 2
[6,1,7,5,3,2,8,4] => 1011101 => 2
[7,6,5,3,2,1,8,4] => 1111101 => 1
[6,5,3,2,8,7,4,1] => 1110111 => 1
[5,2,6,3,8,7,4,1] => 1010111 => 2
[5,2,7,6,3,1,8,4] => 1011101 => 2
[6,5,2,1,7,3,8,4] => 1110101 => 2
[5,2,7,4,1,8,3,6] => 1011010 => 3
[4,7,2,6,3,1,8,5] => 0101101 => 2
[2,4,8,6,3,7,5,1] => 0011011 => 1
[3,8,6,2,4,7,5,1] => 0110011 => 1
[7,3,6,2,4,1,8,5] => 1010101 => 3
[3,6,7,2,1,4,8,5] => 0011001 => 1
[4,3,7,8,2,1,5,6] => 1001100 => 2
[8,3,7,1,4,6,2,5] => 1010010 => 3
[3,8,2,5,7,1,6,4] => 0100101 => 2
[8,3,6,2,7,1,5,4] => 1010101 => 3
[7,8,3,6,2,1,5,4] => 0101101 => 2
[8,7,3,6,2,5,4,1] => 1101011 => 2
[4,7,8,2,1,6,5,3] => 0011011 => 1
[4,2,6,8,1,7,5,3] => 1001011 => 2
[5,4,8,2,7,1,6,3] => 1010101 => 3
[4,8,1,5,7,2,6,3] => 0100101 => 2
[5,8,3,7,1,6,2,4] => 0101010 => 3
[5,8,7,2,6,1,3,4] => 0110100 => 2
[8,6,2,7,5,1,3,4] => 1101100 => 2
[3,6,8,1,7,5,2,4] => 0010110 => 2
[5,1,6,8,2,7,4,3] => 1001011 => 2
[6,5,2,8,1,7,4,3] => 1101011 => 2
[5,2,7,1,8,6,4,3] => 1010111 => 2
[5,8,2,7,6,4,3,1] => 0101111 => 1
[6,2,8,7,5,4,3,1] => 1011111 => 1
[7,6,2,1,8,5,4,3] => 1110111 => 1
[6,1,7,2,8,5,4,3] => 1010111 => 2
[7,5,1,8,2,6,4,3] => 1101011 => 2
[4,7,1,8,6,2,5,3] => 0101101 => 2
[7,8,3,1,6,5,2,4] => 0110110 => 2
[8,7,4,6,1,5,3,2] => 1101011 => 2
[8,5,7,1,6,4,3,2] => 1010111 => 2
[6,8,1,7,5,4,3,2] => 0101111 => 1
[7,1,8,6,5,4,3,2] => 1011111 => 1
[5,4,2,3,7,6,1,8] => 1100110 => 2
[6,4,2,7,3,5,1,8] => 1101010 => 3
[7,4,2,6,3,5,1,8] => 1101010 => 3
[8,4,2,6,3,1,5,7] => 1101100 => 2
[3,2,7,6,4,5,1,8] => 1011010 => 3
[4,7,2,6,3,5,1,8] => 0101010 => 3
[5,7,6,2,3,4,1,8] => 0110010 => 2
[1,6,5,2,3,8,4,7] => 0110010 => 2
[1,7,5,2,8,3,4,6] => 0110100 => 2
[6,8,5,2,3,1,4,7] => 0110100 => 2
[5,8,6,2,3,1,4,7] => 0110100 => 2
[4,8,2,6,3,1,5,7] => 0101100 => 2
[3,2,8,6,4,1,5,7] => 1011100 => 2
[3,2,1,6,4,8,5,7] => 1101010 => 3
[7,1,5,2,8,3,4,6] => 1010100 => 3
[1,8,5,2,7,3,4,6] => 0110100 => 2
[1,8,6,7,2,3,4,5] => 0101000 => 2
[8,1,6,7,2,3,4,5] => 1001000 => 2
[7,1,6,8,2,3,4,5] => 1001000 => 2
[3,2,1,7,8,4,5,6] => 1100100 => 2
[3,2,8,7,1,4,5,6] => 1011000 => 2
[5,8,7,2,1,3,4,6] => 0111000 => 1
[1,7,6,8,2,3,4,5] => 0101000 => 2
[6,5,8,2,3,1,4,7] => 1010100 => 3
[8,5,7,2,1,3,4,6] => 1011000 => 2
[6,4,2,8,3,1,5,7] => 1101100 => 2
[5,4,2,3,8,1,6,7] => 1100100 => 2
[3,2,5,4,1,8,6,7] => 1011010 => 3
[4,5,2,3,1,8,6,7] => 0101010 => 3
[5,4,2,3,1,8,6,7] => 1101010 => 3
[6,4,2,1,3,8,5,7] => 1110010 => 2
[7,4,2,1,8,3,5,6] => 1110100 => 2
[8,4,2,1,7,3,5,6] => 1110100 => 2
[1,4,2,8,7,3,5,6] => 0101100 => 2
[1,5,8,2,7,3,4,6] => 0010100 => 2
[8,5,1,2,7,3,4,6] => 1100100 => 2
[7,5,1,2,8,3,4,6] => 1100100 => 2
[6,5,1,2,3,8,4,7] => 1100010 => 2
[4,6,2,1,3,8,5,7] => 0110010 => 2
[3,2,6,1,4,8,5,7] => 1010010 => 3
[3,2,7,1,8,4,5,6] => 1010100 => 3
[4,7,2,1,8,3,5,6] => 0110100 => 2
[7,6,1,8,2,3,4,5] => 1101000 => 2
[8,6,1,7,2,3,4,5] => 1101000 => 2
[1,6,8,7,2,3,4,5] => 0011000 => 1
[1,7,8,6,2,3,4,5] => 0011000 => 1
[7,8,1,6,2,3,4,5] => 0101000 => 2
[6,8,1,7,2,3,4,5] => 0101000 => 2
[4,8,2,1,7,3,5,6] => 0110100 => 2
[3,2,8,1,7,4,5,6] => 1010100 => 3
[3,2,1,8,7,4,5,6] => 1101100 => 2
[5,1,8,2,7,3,4,6] => 1010100 => 3
[6,1,8,7,2,3,4,5] => 1011000 => 2
[8,1,7,6,2,3,4,5] => 1011000 => 2
[1,8,7,6,2,3,4,5] => 0111000 => 1
[6,3,5,1,2,4,8,7] => 1010001 => 2
[4,3,5,6,1,2,8,7] => 1001001 => 2
[8,3,7,5,2,1,4,6] => 1011100 => 2
[6,3,7,5,1,8,4,2] => 1011011 => 2
[6,5,2,7,1,8,3,4] => 1101010 => 3
[8,5,2,7,4,1,3,6] => 1101100 => 2
[2,6,1,5,4,3,8,7] => 0101101 => 2
[6,4,3,5,1,2,8,7] => 1101001 => 2
[5,3,1,4,6,2,8,7] => 1100101 => 2
[3,1,4,6,5,2,8,7] => 1001101 => 2
[5,7,4,6,2,8,3,1] => 0101011 => 2
[8,1,4,7,2,6,3,5] => 1001010 => 3
[3,4,7,8,5,2,1,6] => 0001110 => 1
[2,1,8,5,7,3,4,6] => 1010100 => 3
[8,6,3,5,1,7,4,2] => 1101011 => 2
[5,8,2,4,6,7,3,1] => 0100011 => 1
[3,4,8,6,5,7,1,2] => 0011010 => 2
[7,5,4,8,1,6,3,2] => 1101011 => 2
[5,1,4,6,8,2,7,3] => 1000101 => 2
[2,5,4,6,7,1,8,3] => 0100101 => 2
[2,4,6,3,7,5,8,1] => 0010101 => 2
[4,1,6,3,8,5,7,2] => 1010101 => 3
[3,7,4,2,8,6,5,1] => 0110111 => 1
[7,4,1,3,5,8,6,2] => 1100011 => 1
[6,5,8,4,1,7,3,2] => 1011011 => 2
[8,5,3,7,4,1,6,2] => 1101101 => 2
[2,1,4,8,3,7,6,5] => 1001011 => 2
[7,4,3,8,2,1,6,5] => 1101101 => 2
[6,3,7,4,1,8,2,5] => 1011010 => 3
[8,3,1,2,5,7,6,4] => 1100011 => 1
[3,1,8,2,7,6,5,4] => 1010111 => 2
[2,3,8,1,6,7,5,4] => 0010011 => 1
[4,3,7,2,6,8,5,1] => 1010011 => 2
[4,7,2,3,8,5,6,1] => 0100101 => 2
[3,8,2,1,7,5,6,4] => 0110101 => 2
[2,8,1,3,6,5,7,4] => 0100101 => 2
[2,7,8,5,4,3,1,6] => 0011110 => 1
[8,7,1,6,3,4,2,5] => 1101010 => 3
[3,8,6,7,2,4,1,5] => 0101010 => 3
[5,3,8,7,4,2,6,1] => 1011101 => 2
[4,3,8,7,2,1,6,5] => 1011101 => 2
[8,3,6,1,4,2,7,5] => 1010101 => 3
[7,3,5,8,2,4,1,6] => 1001010 => 3
[2,3,4,1,8,5,7,6] => 0010101 => 2
[4,1,3,2,6,7,8,5] => 1010001 => 2
[8,3,5,6,2,7,1,4] => 1001010 => 3
[5,3,6,1,8,7,2,4] => 1010110 => 3
[5,6,2,8,7,4,1,3] => 0101110 => 2
[7,8,5,6,1,4,2,3] => 0101010 => 3
[2,8,6,5,4,7,1,3] => 0111010 => 2
[8,1,6,4,5,7,2,3] => 1010010 => 3
[5,8,3,6,1,7,2,4] => 0101010 => 3
[2,1,8,6,5,7,3,4] => 1011010 => 3
[2,1,7,5,3,6,8,4] => 1011001 => 2
[6,7,3,5,2,1,8,4] => 0101101 => 2
[7,1,4,2,5,6,8,3] => 1010001 => 2
[2,7,4,1,6,5,8,3] => 0110101 => 2
[4,6,1,2,8,7,3,5] => 0100110 => 2
[2,4,1,5,8,7,6,3] => 0100111 => 1
[4,1,2,5,8,6,7,3] => 1000101 => 2
[6,4,2,1,5,8,7,3] => 1110011 => 1
[8,5,2,4,6,1,7,3] => 1100101 => 2
[7,5,3,2,6,8,1,4] => 1110010 => 2
[2,1,5,3,6,8,7,4] => 1010011 => 2
[7,3,5,4,6,1,8,2] => 1010101 => 3
[6,3,4,1,5,7,8,2] => 1010001 => 2
[4,3,1,5,7,6,8,2] => 1100101 => 2
[3,1,4,5,6,8,7,2] => 1000011 => 1
[4,5,2,6,3,1,8,7] => 0101101 => 2
[6,5,2,1,4,3,8,7] => 1110101 => 2
[6,5,2,7,4,8,3,1] => 1101011 => 2
[8,5,2,7,4,1,6,3] => 1101101 => 2
[8,3,7,5,2,1,6,4] => 1011101 => 2
[6,3,7,5,2,8,4,1] => 1011011 => 2
[3,1,6,5,4,2,8,7] => 1011101 => 2
[5,6,3,2,4,1,8,7] => 0110101 => 2
[3,6,2,4,1,5,8,7] => 0101001 => 2
[2,6,1,3,5,4,8,7] => 0100101 => 2
[6,7,2,3,4,8,5,1] => 0100011 => 1
[8,7,2,3,4,1,6,5] => 1100101 => 2
[5,1,7,3,8,4,6,2] => 1010101 => 3
[2,5,7,3,8,6,4,1] => 0010111 => 1
[7,6,1,3,5,8,4,2] => 1100011 => 1
[3,6,7,4,1,8,5,2] => 0011011 => 1
[5,6,3,7,4,8,1,2] => 0101010 => 3
[2,1,6,7,4,8,5,3] => 1001011 => 2
[2,1,8,7,4,3,6,5] => 1011101 => 2
[5,8,3,7,4,2,6,1] => 0101101 => 2
[3,8,7,4,1,2,6,5] => 0111001 => 1
[7,8,1,3,5,2,6,4] => 0100101 => 2
[5,8,7,3,2,6,1,4] => 0111010 => 2
[2,8,6,3,1,5,7,4] => 0111001 => 1
[8,1,6,3,2,5,4,7] => 1011010 => 3
[2,8,4,1,6,3,7,5] => 0110101 => 2
[4,8,1,2,7,6,3,5] => 0100110 => 2
[3,8,4,2,5,7,1,6] => 0110010 => 2
[6,8,3,5,2,7,4,1] => 0101011 => 2
[2,1,5,3,8,7,6,4] => 1010111 => 2
[6,5,3,2,8,7,1,4] => 1110110 => 2
[7,5,2,4,8,1,6,3] => 1100101 => 2
[3,4,2,8,5,7,6,1] => 0101011 => 2
[2,4,1,8,7,6,5,3] => 0101111 => 1
[8,4,2,1,7,5,3,6] => 1110110 => 2
[4,3,1,8,6,7,5,2] => 1101011 => 2
[3,1,4,8,6,5,7,2] => 1001101 => 2
[7,1,6,5,4,8,2,3] => 1011010 => 3
[3,7,5,6,8,4,2,1] => 0100111 => 1
[5,7,1,6,8,2,4,3] => 0100101 => 2
[8,6,2,5,1,7,4,3] => 1101011 => 2
[5,6,2,1,8,7,3,4] => 0110110 => 2
[4,6,2,5,8,3,7,1] => 0100101 => 2
[7,5,2,6,3,8,1,4] => 1101010 => 3
[4,1,2,3,6,8,7,5] => 1000011 => 1
[2,4,3,1,8,5,6,7] => 0110100 => 2
[7,5,2,8,3,4,6,1] => 1101001 => 2
[5,6,2,8,4,3,1,7] => 0101110 => 2
[4,7,2,8,1,5,3,6] => 0101010 => 3
[8,7,2,1,4,5,6,3] => 1110001 => 1
[3,6,8,7,1,5,4,2] => 0011011 => 1
[5,7,8,6,3,4,1,2] => 0011010 => 2
[7,1,8,5,4,3,6,2] => 1011101 => 2
[2,7,8,4,5,3,6,1] => 0010101 => 2
[5,7,3,8,1,4,6,2] => 0101001 => 2
[2,1,7,8,5,4,6,3] => 1001101 => 2
[2,1,5,8,4,6,3,7] => 1001010 => 3
[6,5,3,8,4,1,2,7] => 1101100 => 2
[7,5,8,4,3,6,2,1] => 1011011 => 2
[2,4,8,3,5,6,1,7] => 0010010 => 2
[4,1,8,3,6,5,2,7] => 1010110 => 3
[3,4,8,1,7,2,5,6] => 0010100 => 2
[8,4,1,3,7,2,6,5] => 1100101 => 2
[3,1,8,2,4,7,6,5] => 1010011 => 2
[2,3,8,1,4,6,7,5] => 0010001 => 1
[4,3,8,2,5,1,7,6] => 1010101 => 3
[6,3,8,4,2,5,7,1] => 1011001 => 2
[7,4,3,8,2,5,1,6] => 1101010 => 3
[2,1,4,8,3,5,7,6] => 1001001 => 2
[6,8,2,4,3,5,1,7] => 0101010 => 3
[4,8,2,3,5,1,6,7] => 0100100 => 2
[3,8,2,1,4,6,5,7] => 0110010 => 2
[2,8,1,3,4,5,7,6] => 0100001 => 1
[2,8,4,1,6,5,3,7] => 0110110 => 2
[2,8,4,1,6,5,7,3] => 0110101 => 2
[2,8,7,6,1,4,3,5] => 0111010 => 2
[2,8,5,6,7,4,3,1] => 0100111 => 1
[7,5,8,6,1,4,2,3] => 1011010 => 3
[3,5,7,6,1,4,2,8] => 0011010 => 2
[3,5,7,2,4,1,6,8] => 0010100 => 2
[7,5,8,2,4,1,6,3] => 1010101 => 3
[2,8,5,3,4,7,6,1] => 0110011 => 1
[2,8,5,3,4,1,7,6] => 0110101 => 2
[2,8,5,3,4,1,6,7] => 0110100 => 2
[2,8,7,6,1,4,5,3] => 0111001 => 1
[2,8,5,3,6,1,7,4] => 0110101 => 2
[2,8,5,6,7,4,1,3] => 0100110 => 2
[2,8,5,3,4,7,1,6] => 0110010 => 2
[2,8,5,3,4,6,1,7] => 0110010 => 2
[2,8,5,3,4,6,7,1] => 0110001 => 1
[3,5,7,2,4,6,1,8] => 0010010 => 2
[6,5,2,7,3,1,4,8] => 1101100 => 2
[6,5,2,8,3,1,7,4] => 1101101 => 2
[6,5,2,8,3,1,4,7] => 1101100 => 2
[7,5,8,2,4,6,3,1] => 1010011 => 2
[7,5,8,6,1,4,3,2] => 1011011 => 2
[6,5,8,2,1,3,7,4] => 1011001 => 2
[3,5,6,2,1,8,7,4] => 0011011 => 1
[3,5,7,6,1,4,8,2] => 0011001 => 1
[3,5,7,2,4,1,8,6] => 0010101 => 2
[3,5,7,2,4,6,8,1] => 0010001 => 1
[6,5,2,7,3,1,8,4] => 1101101 => 2
[4,5,2,6,3,1,7,8] => 0101100 => 2
[4,1,2,3,7,6,8,5] => 1000101 => 2
[6,5,2,7,3,4,8,1] => 1101001 => 2
[5,1,6,7,4,3,8,2] => 1001101 => 2
[5,1,2,6,4,8,7,3] => 1001011 => 2
[5,1,2,8,6,4,7,3] => 1001101 => 2
[5,1,6,8,7,3,4,2] => 1001101 => 2
[6,5,2,8,3,7,4,1] => 1101011 => 2
[4,1,2,3,8,7,5,6] => 1000110 => 2
[4,1,2,3,8,6,5,7] => 1000110 => 2
[4,1,2,3,8,6,7,5] => 1000101 => 2
[4,1,2,3,7,6,5,8] => 1000110 => 2
[4,1,2,3,8,5,7,6] => 1000101 => 2
[7,1,6,8,4,3,5,2] => 1001101 => 2
[6,1,2,8,4,5,7,3] => 1001001 => 2
[5,6,8,2,3,1,7,4] => 0010101 => 2
[6,5,8,2,4,3,1,7] => 1010110 => 3
[6,5,8,2,4,3,7,1] => 1010101 => 3
[7,5,2,8,3,4,1,6] => 1101010 => 3
[6,5,2,8,3,7,1,4] => 1101010 => 3
[6,5,2,7,3,4,1,8] => 1101010 => 3
[5,1,6,7,4,3,2,8] => 1001110 => 2
[5,1,6,8,7,3,2,4] => 1001110 => 2
[7,1,6,8,4,3,2,5] => 1001110 => 2
[5,7,8,6,3,4,2,1] => 0011011 => 1
[4,1,8,3,6,5,7,2] => 1010101 => 3
[4,1,8,3,6,2,7,5] => 1010101 => 3
[3,1,4,8,6,2,7,5] => 1001101 => 2
[3,1,4,8,6,5,2,7] => 1001110 => 2
[7,1,6,5,8,3,2,4] => 1010110 => 3
[4,1,6,7,8,3,2,5] => 1000110 => 2
[4,1,6,5,7,3,2,8] => 1010110 => 3
[4,5,2,6,3,7,1,8] => 0101010 => 3
[4,5,2,7,3,8,1,6] => 0101010 => 3
[3,5,6,2,4,8,7,1] => 0010011 => 1
[3,5,6,2,4,8,1,7] => 0010010 => 2
[3,7,5,6,8,4,1,2] => 0100110 => 2
[3,6,5,2,8,1,7,4] => 0110101 => 2
[6,1,2,5,8,4,7,3] => 1000101 => 2
[7,1,6,5,8,3,4,2] => 1010101 => 3
[7,5,2,6,3,8,4,1] => 1101011 => 2
[4,1,2,3,5,8,7,6] => 1000011 => 1
[4,1,2,3,7,8,6,5] => 1000011 => 1
[4,5,2,7,3,8,6,1] => 0101011 => 2
[4,1,6,7,8,3,5,2] => 1000101 => 2
[4,1,2,6,8,5,7,3] => 1000101 => 2
[4,1,2,5,6,8,7,3] => 1000011 => 1
[4,5,2,6,3,7,8,1] => 0101001 => 2
[7,8,5,6,1,4,3,2] => 0101011 => 2
[7,8,4,2,1,5,3,6] => 0111010 => 2
[7,8,2,1,6,5,3,4] => 0110110 => 2
[6,4,1,2,5,7,3,8] => 1100010 => 2
[2,4,8,1,5,7,3,6] => 0010010 => 2
[4,3,8,1,7,2,5,6] => 1010100 => 3
[6,3,1,4,7,2,5,8] => 1100100 => 2
[7,8,3,4,5,1,6,2] => 0100101 => 2
[7,8,3,5,4,2,1,6] => 0101110 => 2
[7,8,4,1,2,3,6,5] => 0110001 => 1
[7,8,3,6,5,4,1,2] => 0101110 => 2
[7,8,2,1,5,3,4,6] => 0110100 => 2
[7,8,2,6,4,1,3,5] => 0101100 => 2
[7,8,2,5,6,4,1,3] => 0100110 => 2
[7,8,1,6,5,4,3,2] => 0101111 => 1
[6,2,1,7,5,4,3,8] => 1101110 => 2
[2,1,8,7,5,4,3,6] => 1011110 => 2
[1,3,8,2,6,4,7,5] => 0010101 => 2
[5,3,7,1,6,4,8,2] => 1010101 => 3
[5,3,6,2,7,4,1,8] => 1010110 => 3
[6,1,2,5,8,7,4,3] => 1000111 => 1
[6,3,1,8,4,2,7,5] => 1101101 => 2
[6,4,2,1,5,3,8,7] => 1110101 => 2
[6,4,3,7,5,8,1,2] => 1101010 => 3
[4,3,8,7,5,6,1,2] => 1011010 => 3
[2,4,7,1,5,3,6,8] => 0010100 => 2
[1,3,7,6,4,2,8,5] => 0011101 => 1
[2,1,7,5,6,8,4,3] => 1010011 => 2
[3,7,2,8,6,4,1,5] => 0101110 => 2
[3,8,1,7,6,4,5,2] => 0101101 => 2
[1,8,5,7,3,6,4,2] => 0101011 => 2
[2,7,5,8,3,6,1,4] => 0101010 => 3
[1,5,6,8,2,4,7,3] => 0001001 => 1
[2,6,8,5,3,1,4,7] => 0011100 => 1
[2,6,1,4,7,3,5,8] => 0100100 => 2
[5,6,7,3,8,4,1,2] => 0010110 => 2
[5,2,8,1,4,7,3,6] => 1010010 => 3
[4,6,7,5,2,1,3,8] => 0011100 => 1
[4,5,6,7,2,8,1,3] => 0001010 => 2
[4,5,7,6,1,8,3,2] => 0011011 => 1
[1,5,8,6,2,7,3,4] => 0011010 => 2
[1,6,5,8,3,2,7,4] => 0101101 => 2
[4,6,5,7,1,2,8,3] => 0101001 => 2
[4,7,5,6,3,1,8,2] => 0101101 => 2
[5,1,6,3,4,2,8,7] => 1010101 => 3
[5,7,1,4,2,3,8,6] => 0101001 => 2
[5,7,6,4,3,8,1,2] => 0111010 => 2
[6,3,4,5,8,7,1,2] => 1000110 => 2
[6,2,4,1,8,3,7,5] => 1010101 => 3
[6,2,3,5,4,8,1,7] => 1001010 => 3
[6,1,3,4,5,8,7,2] => 1000011 => 1
[5,1,4,2,7,6,8,3] => 1010101 => 3
[1,6,2,4,7,8,3,5] => 0100010 => 2
[5,7,2,4,1,6,3,8] => 0101010 => 3
[6,1,4,2,8,5,3,7] => 1010110 => 3
[6,7,5,8,1,4,3,2] => 0101011 => 2
[5,8,7,6,3,4,1,2] => 0111010 => 2
[5,8,7,6,2,3,1,4] => 0111010 => 2
[4,1,7,2,6,5,3,8] => 1010110 => 3
[4,8,2,1,5,6,3,7] => 0110010 => 2
[4,2,7,8,1,6,3,5] => 1001010 => 3
[2,1,8,7,6,5,3,4] => 1011110 => 2
[3,1,4,7,8,2,6,5] => 1000101 => 2
[3,1,7,4,5,6,8,2] => 1010001 => 2
[4,2,7,1,6,3,8,5] => 1010101 => 3
[4,3,7,5,6,8,1,2] => 1010010 => 3
[4,8,6,3,5,7,1,2] => 0110010 => 2
[4,8,1,2,5,3,7,6] => 0100101 => 2
[3,8,6,5,2,4,1,7] => 0111010 => 2
[3,8,5,6,1,4,7,2] => 0101001 => 2
[5,3,7,8,2,1,6,4] => 1001101 => 2
[5,2,8,7,1,6,4,3] => 1011011 => 2
[1,6,8,7,5,2,4,3] => 0011101 => 1
[3,6,7,8,5,1,4,2] => 0001101 => 1
[3,7,6,8,5,2,1,4] => 0101110 => 2
[3,7,8,5,1,2,4,6] => 0011000 => 1
[3,7,1,6,4,2,5,8] => 0101100 => 2
[4,1,8,6,2,3,5,7] => 1011000 => 2
[4,7,8,6,3,5,1,2] => 0011010 => 2
[3,8,7,6,5,4,1,2] => 0111110 => 1
[2,1,7,6,5,3,4,8] => 1011100 => 2
[2,8,1,6,4,5,3,7] => 0101010 => 3
[2,8,7,5,1,4,3,6] => 0111010 => 2
[2,8,6,7,5,1,3,4] => 0101100 => 2
[2,7,8,6,5,4,1,3] => 0011110 => 1
[6,4,2,7,1,3,8,5] => 1101001 => 2
[7,4,2,5,1,3,8,6] => 1101001 => 2
[7,5,3,6,1,8,2,4] => 1101010 => 3
[8,5,3,6,1,7,2,4] => 1101010 => 3
[7,3,6,2,4,8,1,5] => 1010010 => 3
[4,3,7,1,2,5,8,6] => 1010001 => 2
[3,6,2,7,1,4,8,5] => 0101001 => 2
[5,3,6,7,1,2,8,4] => 1001001 => 2
[6,3,7,4,1,2,8,5] => 1011001 => 2
[4,7,1,5,2,3,8,6] => 0101001 => 2
[3,7,5,1,2,4,8,6] => 0110001 => 1
[7,6,4,2,3,8,1,5] => 1110010 => 2
[8,6,4,2,3,7,1,5] => 1110010 => 2
[4,7,6,3,8,1,2,5] => 0110100 => 2
[5,7,4,2,3,8,1,6] => 0110010 => 2
[3,7,6,1,4,8,2,5] => 0110010 => 2
[6,4,7,5,2,8,1,3] => 1011010 => 3
[7,4,8,5,2,6,1,3] => 1011010 => 3
[5,8,2,6,3,7,1,4] => 0101010 => 3
[3,8,6,2,4,7,1,5] => 0110010 => 2
[3,8,5,7,1,2,4,6] => 0101000 => 2
[2,8,5,7,1,3,4,6] => 0101000 => 2
[4,8,6,2,7,1,3,5] => 0110100 => 2
[2,6,5,8,1,3,4,7] => 0101000 => 2
[3,6,5,8,1,2,4,7] => 0101000 => 2
[2,5,7,4,8,1,3,6] => 0010100 => 2
[5,4,6,7,2,8,1,3] => 1001010 => 3
[3,5,7,1,4,8,2,6] => 0010010 => 2
[5,3,7,2,4,8,1,6] => 1010010 => 3
[5,4,7,3,8,1,2,6] => 1010100 => 3
[7,4,6,3,8,1,2,5] => 1010100 => 3
[8,4,6,3,7,1,2,5] => 1010100 => 3
[8,4,1,6,7,2,3,5] => 1100100 => 2
[7,4,1,6,8,2,3,5] => 1100100 => 2
[6,5,3,7,1,8,2,4] => 1101010 => 3
[6,5,1,2,7,8,3,4] => 1100010 => 2
[5,3,6,4,7,8,1,2] => 1010010 => 3
[6,3,7,4,8,5,1,2] => 1010110 => 3
[4,7,1,5,8,6,2,3] => 0100110 => 2
[7,5,1,2,8,6,3,4] => 1100110 => 2
[7,5,3,8,1,6,2,4] => 1101010 => 3
[7,6,1,8,5,2,3,4] => 1101100 => 2
[8,6,1,7,5,2,3,4] => 1101100 => 2
[5,7,2,8,1,6,3,4] => 0101010 => 3
[6,3,7,8,5,1,2,4] => 1001100 => 2
[3,6,8,2,7,1,4,5] => 0010100 => 2
[2,4,8,7,1,3,5,6] => 0011000 => 1
[4,3,8,7,1,2,5,6] => 1011000 => 2
[5,3,8,7,1,2,4,6] => 1011000 => 2
[8,3,7,6,1,2,4,5] => 1011000 => 2
[8,4,7,6,1,2,3,5] => 1011000 => 2
[5,4,8,7,1,2,3,6] => 1011000 => 2
[3,5,8,7,1,2,4,6] => 0011000 => 1
[2,5,8,7,1,3,4,6] => 0011000 => 1
[4,6,8,2,7,1,3,5] => 0010100 => 2
[6,8,4,7,5,1,2,3] => 0101100 => 2
[5,8,7,1,6,2,3,4] => 0110100 => 2
[2,8,7,6,1,3,4,5] => 0111000 => 1
[3,8,7,6,1,2,4,5] => 0111000 => 1
[4,8,7,6,1,2,3,5] => 0111000 => 1
[5,6,3,1,4,2,8,7] => 0110101 => 2
[7,5,3,8,2,1,6,4] => 1101101 => 2
[3,8,7,4,5,1,6,2] => 0110101 => 2
[6,7,1,4,5,8,2,3] => 0100010 => 2
[2,1,7,8,5,3,6,4] => 1001101 => 2
[5,7,3,8,1,2,6,4] => 0101001 => 2
[8,7,1,4,5,3,2,6] => 1100110 => 2
[2,7,8,4,1,6,5,3] => 0011011 => 1
[7,1,8,4,2,6,5,3] => 1011011 => 2
[7,5,1,4,8,6,3,2] => 1100111 => 1
[6,5,3,1,8,4,7,2] => 1110101 => 2
[6,4,3,8,1,5,7,2] => 1101001 => 2
[8,6,3,1,2,5,7,4] => 1110001 => 1
[8,7,1,4,2,6,5,3] => 1101011 => 2
[7,3,8,4,1,6,5,2] => 1011011 => 2
[2,3,4,5,6,7,8,1,9] => 00000010 => 1
[2,3,4,5,6,8,9,1,7] => 00000010 => 1
[2,3,4,5,7,8,9,1,6] => 00000010 => 1
[2,3,4,6,7,8,9,1,5] => 00000010 => 1
[2,3,5,6,7,8,9,1,4] => 00000010 => 1
[2,4,5,6,7,8,9,1,3] => 00000010 => 1
[3,4,5,6,7,8,9,1,2] => 00000010 => 1
[2,3,4,5,6,7,8,9,10,1] => 000000001 => 0
[2,3,4,5,6,7,8,9,1,10] => 000000010 => 1
[2,3,4,5,6,7,1,8,9] => 00000100 => 1
[2,3,4,5,6,7,8,10,1,9] => 000000010 => 1
[2,3,4,5,6,1,9,7,8] => 00001010 => 2
[2,3,4,5,6,7,9,10,1,8] => 000000010 => 1
[2,3,4,5,1,8,9,6,7] => 00010010 => 2
[2,3,4,5,6,8,9,10,1,7] => 000000010 => 1
[2,3,4,1,7,8,9,5,6] => 00100010 => 2
[2,3,4,5,7,8,9,10,1,6] => 000000010 => 1
[2,3,1,6,7,8,9,4,5] => 01000010 => 2
[2,3,4,6,7,8,9,10,1,5] => 000000010 => 1
[2,1,5,6,7,8,9,3,4] => 10000010 => 2
[2,3,5,6,7,8,9,10,1,4] => 000000010 => 1
[1,4,5,6,7,8,9,2,3] => 00000010 => 1
[2,4,5,6,7,8,9,10,1,3] => 000000010 => 1
[3,4,5,6,7,8,9,10,1,2] => 000000010 => 1
[3,6,4,5,7,2,8,1] => 0100101 => 2
[5,3,2,7,4,6,8,1] => 1101001 => 2
[7,5,3,6,2,4,8,1] => 1101001 => 2
[6,3,2,5,1,8,4,7] => 1101010 => 3
[8,5,3,6,2,7,1,4] => 1101010 => 3
[8,2,6,3,4,7,1,5] => 1010010 => 3
[7,2,6,3,4,5,8,1] => 1010001 => 2
[6,2,7,3,4,5,8,1] => 1010001 => 2
[4,2,5,7,3,6,8,1] => 1001001 => 2
[5,4,7,6,2,3,8,1] => 1011001 => 2
[6,7,3,5,2,4,8,1] => 0101001 => 2
[3,7,6,2,4,5,8,1] => 0110001 => 1
[2,7,6,3,4,5,8,1] => 0110001 => 1
[6,5,3,1,2,8,4,7] => 1110010 => 2
[8,6,5,2,3,7,1,4] => 1110010 => 2
[8,5,2,1,7,3,4,6] => 1110100 => 2
[7,5,2,1,8,3,4,6] => 1110100 => 2
[1,6,3,2,8,4,5,7] => 0110100 => 2
[5,6,2,3,1,8,4,7] => 0101010 => 3
[4,2,6,5,1,8,3,7] => 1011010 => 3
[5,4,8,6,2,7,1,3] => 1011010 => 3
[6,8,3,5,2,7,1,4] => 0101010 => 3
[7,8,5,2,3,6,1,4] => 0110010 => 2
[6,8,2,1,7,3,4,5] => 0110100 => 2
[1,8,6,3,7,2,4,5] => 0110100 => 2
[1,8,2,7,3,4,5,6] => 0101000 => 2
[2,8,1,7,3,4,5,6] => 0101000 => 2
[3,8,6,1,7,2,4,5] => 0110100 => 2
[4,8,1,5,7,2,3,6] => 0100100 => 2
[4,2,8,3,7,1,5,6] => 1010100 => 3
[8,1,2,7,3,4,5,6] => 1001000 => 2
[3,6,2,7,1,8,4,5] => 0101010 => 3
[6,3,7,1,2,8,4,5] => 1010010 => 3
[7,2,6,1,8,3,4,5] => 1010100 => 3
[7,3,1,5,8,2,4,6] => 1100100 => 2
[3,2,1,5,8,4,6,7] => 1100100 => 2
[5,4,1,3,6,8,2,7] => 1100010 => 2
[1,5,3,4,6,8,2,7] => 0100010 => 2
[4,3,5,1,6,8,2,7] => 1010010 => 3
[5,4,6,3,8,7,1,2] => 1010110 => 3
[3,6,4,5,8,7,1,2] => 0100110 => 2
[6,5,3,4,8,7,1,2] => 1100110 => 2
[5,3,2,8,7,1,4,6] => 1101100 => 2
[5,3,1,8,7,2,4,6] => 1101100 => 2
[8,5,3,7,6,1,2,4] => 1101100 => 2
[6,1,8,3,7,2,4,5] => 1010100 => 3
[6,3,8,1,7,2,4,5] => 1010100 => 3
[7,6,8,2,3,5,1,4] => 1010010 => 3
[3,7,8,2,4,6,1,5] => 0010010 => 2
[6,7,3,8,2,5,1,4] => 0101010 => 3
[5,4,7,8,2,6,1,3] => 1001010 => 3
[4,2,5,8,7,1,3,6] => 1001100 => 2
[2,3,8,7,1,4,5,6] => 0011000 => 1
[7,2,8,6,1,3,4,5] => 1011000 => 2
[2,1,8,7,3,4,5,6] => 1011000 => 2
[8,2,7,6,1,3,4,5] => 1011000 => 2
[1,2,8,7,3,4,5,6] => 0011000 => 1
[1,3,8,7,2,4,5,6] => 0011000 => 1
[1,7,8,3,6,2,4,5] => 0010100 => 2
[4,1,5,8,7,2,3,6] => 1001100 => 2
[5,4,8,7,6,1,2,3] => 1011100 => 2
[6,8,3,7,5,1,2,4] => 0101100 => 2
[7,8,6,2,5,1,3,4] => 0110100 => 2
[8,1,6,7,3,2,5,4] => 1001101 => 2
[8,1,6,7,3,2,4,5] => 1001100 => 2
[8,1,5,3,7,2,4,6] => 1010100 => 3
[8,1,5,3,6,2,4,7] => 1010100 => 3
[7,5,1,3,6,2,4,8] => 1100100 => 2
[7,5,8,3,6,2,4,1] => 1010101 => 3
[7,4,8,3,2,6,5,1] => 1011011 => 2
[7,4,1,3,2,6,5,8] => 1101010 => 3
[8,1,4,3,2,6,5,7] => 1011010 => 3
[8,1,4,3,2,7,5,6] => 1011010 => 3
[8,1,4,3,2,7,6,5] => 1011011 => 2
[8,1,5,4,6,7,2,3] => 1010010 => 3
[8,1,5,3,6,2,7,4] => 1010101 => 3
[8,1,4,3,2,6,7,5] => 1011001 => 2
[8,1,4,3,2,5,7,6] => 1011001 => 2
[8,1,4,3,2,5,6,7] => 1011000 => 2
[7,4,1,3,2,5,6,8] => 1101000 => 2
[7,4,8,3,2,5,6,1] => 1011001 => 2
[6,4,3,8,2,5,7,1] => 1101001 => 2
[6,4,3,1,2,5,8,7] => 1110001 => 1
[7,4,1,3,2,5,8,6] => 1101001 => 2
[7,4,1,3,2,6,8,5] => 1101001 => 2
[7,5,1,3,6,2,8,4] => 1100101 => 2
[7,5,1,4,6,8,2,3] => 1100010 => 2
[7,5,8,3,6,2,1,4] => 1010110 => 3
[7,4,8,3,2,6,1,5] => 1011010 => 3
[7,4,8,3,2,5,1,6] => 1011010 => 3
[6,4,3,8,2,5,1,7] => 1101010 => 3
[6,4,3,7,2,5,8,1] => 1101001 => 2
[5,4,3,2,8,6,1,7] => 1110110 => 2
[5,4,3,2,8,7,1,6] => 1110110 => 2
[6,5,3,8,7,2,1,4] => 1101110 => 2
[6,5,4,8,7,1,2,3] => 1101100 => 2
[6,5,4,1,7,8,2,3] => 1110010 => 2
[6,5,3,1,7,2,8,4] => 1110101 => 2
[6,4,3,1,2,7,8,5] => 1110001 => 1
[5,4,3,2,1,8,6,7] => 1111010 => 2
[6,5,3,1,8,2,7,4] => 1110101 => 2
[6,5,4,1,8,7,2,3] => 1110110 => 2
[7,5,1,4,8,6,2,3] => 1100110 => 2
[7,4,1,3,2,8,6,5] => 1101011 => 2
[7,4,1,3,2,8,5,6] => 1101010 => 3
[6,4,3,1,2,8,5,7] => 1110010 => 2
[6,4,3,1,2,7,5,8] => 1110010 => 2
[6,4,3,8,2,7,5,1] => 1101011 => 2
[6,5,3,8,7,2,4,1] => 1101101 => 2
[6,5,3,1,7,2,4,8] => 1110100 => 2
[6,5,3,1,8,2,4,7] => 1110100 => 2
[7,5,1,3,8,2,4,6] => 1100100 => 2
[7,6,1,8,3,2,4,5] => 1101100 => 2
[7,6,1,8,4,5,2,3] => 1101010 => 3
[7,6,8,1,4,5,2,3] => 1010010 => 3
[7,6,8,1,3,2,5,4] => 1010101 => 3
[6,5,3,7,8,2,4,1] => 1100101 => 2
[6,4,3,7,2,8,5,1] => 1101011 => 2
[6,4,3,7,2,1,5,8] => 1101100 => 2
[7,4,8,3,2,1,5,6] => 1011100 => 2
[7,4,8,3,2,1,6,5] => 1011101 => 2
[7,5,8,3,1,2,6,4] => 1011001 => 2
[7,5,8,4,1,6,2,3] => 1011010 => 3
[6,5,4,8,1,7,2,3] => 1101010 => 3
[6,5,3,8,1,2,7,4] => 1101001 => 2
[5,4,3,2,8,1,7,6] => 1110101 => 2
[6,4,3,7,2,1,8,5] => 1101101 => 2
[6,5,3,7,1,2,8,4] => 1101001 => 2
[6,5,4,7,1,8,2,3] => 1101010 => 3
[6,5,3,7,8,2,1,4] => 1100110 => 2
[6,4,3,7,2,8,1,5] => 1101010 => 3
[5,4,3,2,7,8,1,6] => 1110010 => 2
[5,4,3,2,6,8,1,7] => 1110010 => 2
[5,6,2,1,3,4,8,7] => 0110001 => 1
[5,8,2,7,4,1,3,6] => 0101100 => 2
[5,3,7,8,2,1,4,6] => 1001100 => 2
[7,6,1,2,5,8,3,4] => 1100010 => 2
[2,1,7,8,4,3,5,6] => 1001100 => 2
[8,3,7,4,1,5,6,2] => 1011001 => 2
[7,8,1,2,5,4,6,3] => 0100101 => 2
[2,6,8,3,1,4,7,5] => 0011001 => 1
[6,1,8,3,2,4,5,7] => 1011000 => 2
[8,4,1,3,7,6,2,5] => 1100110 => 2
[5,8,7,4,2,1,6,3] => 0111101 => 1
[7,5,1,6,8,3,4,2] => 1100101 => 2
[6,5,2,1,8,7,4,3] => 1110111 => 1
[4,7,2,8,1,3,6,5] => 0101001 => 2
[7,3,8,6,1,2,5,4] => 1011001 => 2
[3,4,7,1,8,2,6,5] => 0010101 => 2
[1,8,2,4,3,5,6,7] => 0101000 => 2
[1,7,2,4,3,5,6,8] => 0101000 => 2
[1,6,2,4,3,5,7,8] => 0101000 => 2
[1,5,2,4,3,6,7,8] => 0101000 => 2
[1,6,2,5,3,4,7,8] => 0101000 => 2
[1,7,2,5,3,4,6,8] => 0101000 => 2
[1,8,2,5,3,4,6,7] => 0101000 => 2
[1,8,2,6,3,4,5,7] => 0101000 => 2
[1,7,2,6,3,4,5,8] => 0101000 => 2
[1,8,2,7,3,5,4,6] => 0101010 => 3
[1,7,2,8,3,5,4,6] => 0101010 => 3
[1,6,2,8,3,5,4,7] => 0101010 => 3
[1,5,2,8,3,6,4,7] => 0101010 => 3
[1,4,2,8,3,6,5,7] => 0101010 => 3
[1,3,2,8,4,6,5,7] => 0101010 => 3
[1,2,3,8,4,6,5,7] => 0001010 => 2
[1,2,3,7,4,6,5,8] => 0001010 => 2
[1,3,2,7,4,6,5,8] => 0101010 => 3
[1,4,2,7,3,6,5,8] => 0101010 => 3
[1,5,2,7,3,6,4,8] => 0101010 => 3
[1,6,2,7,3,5,4,8] => 0101010 => 3
[1,7,2,6,3,5,4,8] => 0101010 => 3
[1,8,2,6,3,5,4,7] => 0101010 => 3
[1,8,2,5,3,6,4,7] => 0101010 => 3
[1,7,2,5,3,6,4,8] => 0101010 => 3
[1,6,2,5,3,7,4,8] => 0101010 => 3
[1,5,2,4,3,7,6,8] => 0101010 => 3
[1,6,2,4,3,7,5,8] => 0101010 => 3
[1,7,2,4,3,6,5,8] => 0101010 => 3
[1,8,2,4,3,6,5,7] => 0101010 => 3
[1,8,2,3,4,6,5,7] => 0100010 => 2
[1,7,2,3,4,6,5,8] => 0100010 => 2
[1,8,2,3,4,7,5,6] => 0100010 => 2
[1,8,2,4,3,7,5,6] => 0101010 => 3
[1,7,2,4,3,8,5,6] => 0101010 => 3
[1,6,2,4,3,8,5,7] => 0101010 => 3
[1,5,2,4,3,8,6,7] => 0101010 => 3
[1,6,2,5,3,8,4,7] => 0101010 => 3
[1,7,2,5,3,8,4,6] => 0101010 => 3
[1,8,2,5,3,7,4,6] => 0101010 => 3
[1,8,2,6,3,7,4,5] => 0101010 => 3
[1,7,2,6,3,8,4,5] => 0101010 => 3
[1,2,3,8,4,7,5,6] => 0001010 => 2
[1,3,2,8,4,7,5,6] => 0101010 => 3
[1,4,2,8,3,7,5,6] => 0101010 => 3
[1,5,2,8,3,7,4,6] => 0101010 => 3
[1,6,2,8,3,7,4,5] => 0101010 => 3
[1,7,2,8,3,6,4,5] => 0101010 => 3
[1,8,2,7,3,6,4,5] => 0101010 => 3
[4,6,3,7,2,5,1,8] => 0101010 => 3
[4,6,3,7,5,2,1,8] => 0101110 => 2
[4,6,3,8,5,1,7,2] => 0101101 => 2
[4,6,3,8,5,1,2,7] => 0101100 => 2
[5,6,8,3,4,1,2,7] => 0010100 => 2
[5,6,8,3,4,1,7,2] => 0010101 => 2
[4,6,2,7,5,3,1,8] => 0101110 => 2
[5,6,7,2,4,3,1,8] => 0010110 => 2
[5,6,8,4,3,1,7,2] => 0011101 => 1
[5,6,8,4,3,1,2,7] => 0011100 => 1
[5,7,8,4,1,6,2,3] => 0011010 => 2
[5,7,8,4,1,6,3,2] => 0011011 => 1
[5,7,8,4,1,3,6,2] => 0011001 => 1
[5,6,8,4,2,1,7,3] => 0011101 => 1
[5,6,8,2,4,1,7,3] => 0010101 => 2
[4,6,2,8,5,1,7,3] => 0101101 => 2
[3,2,6,8,5,1,7,4] => 1001101 => 2
[3,2,6,8,5,1,4,7] => 1001100 => 2
[4,6,2,8,5,1,3,7] => 0101100 => 2
[5,6,8,2,4,1,3,7] => 0010100 => 2
[5,6,8,4,2,1,3,7] => 0011100 => 1
[5,7,8,4,1,3,2,6] => 0011010 => 2
[5,7,8,4,1,2,6,3] => 0011001 => 1
[5,7,8,4,1,2,3,6] => 0011000 => 1
[6,7,8,1,5,2,3,4] => 0010100 => 2
[6,7,8,1,5,2,4,3] => 0010101 => 2
[6,7,8,1,5,3,2,4] => 0010110 => 2
[6,7,8,1,3,5,2,4] => 0010010 => 2
[5,7,8,2,1,6,3,4] => 0011010 => 2
[4,7,2,8,1,6,3,5] => 0101010 => 3
[3,2,7,8,1,6,4,5] => 1001010 => 3
[3,2,7,8,1,6,5,4] => 1001011 => 2
[4,7,2,8,1,6,5,3] => 0101011 => 2
[5,7,8,2,1,6,4,3] => 0011011 => 1
[6,7,8,1,3,5,4,2] => 0010011 => 1
[6,7,8,1,5,3,4,2] => 0010101 => 2
[6,7,8,1,5,4,3,2] => 0010111 => 1
[6,7,8,1,5,4,2,3] => 0010110 => 2
[6,7,8,1,4,5,2,3] => 0010010 => 2
[6,7,8,1,4,5,3,2] => 0010011 => 1
[6,7,8,1,4,3,5,2] => 0010101 => 2
[6,7,8,1,3,4,5,2] => 0010001 => 1
[5,7,8,2,1,4,6,3] => 0011001 => 1
[4,7,2,8,1,5,6,3] => 0101001 => 2
[3,2,7,8,1,5,6,4] => 1001001 => 2
[3,2,6,8,4,1,7,5] => 1001101 => 2
[4,6,2,8,3,1,7,5] => 0101101 => 2
[5,6,8,3,2,1,7,4] => 0011101 => 1
[5,7,8,3,1,4,6,2] => 0011001 => 1
[5,7,8,3,1,6,4,2] => 0011011 => 1
[5,7,8,3,1,6,2,4] => 0011010 => 2
[4,7,3,8,1,6,2,5] => 0101010 => 3
[4,7,3,8,1,6,5,2] => 0101011 => 2
[4,7,3,8,1,5,6,2] => 0101001 => 2
[4,6,3,8,2,1,7,5] => 0101101 => 2
[4,5,3,2,8,1,7,6] => 0110101 => 2
[4,5,2,3,8,1,7,6] => 0100101 => 2
[3,2,5,4,8,1,7,6] => 1010101 => 3
[4,5,3,2,8,1,6,7] => 0110100 => 2
[4,6,3,8,2,1,5,7] => 0101100 => 2
[4,7,3,8,1,5,2,6] => 0101010 => 3
[4,7,3,8,1,2,6,5] => 0101001 => 2
[4,7,3,8,1,2,5,6] => 0101000 => 2
[5,7,8,3,1,2,4,6] => 0011000 => 1
[5,7,8,3,1,2,6,4] => 0011001 => 1
[5,7,8,3,1,4,2,6] => 0011010 => 2
[5,6,8,3,2,1,4,7] => 0011100 => 1
[3,2,7,8,1,5,4,6] => 1001010 => 3
[5,7,8,2,1,4,3,6] => 0011010 => 2
[6,7,8,1,3,4,2,5] => 0010010 => 2
[6,7,8,1,4,3,2,5] => 0010110 => 2
[6,7,8,1,4,2,5,3] => 0010101 => 2
[6,7,8,1,4,2,3,5] => 0010100 => 2
[6,7,8,1,2,5,3,4] => 0010010 => 2
[6,7,8,1,2,5,4,3] => 0010011 => 1
[6,7,8,1,2,4,5,3] => 0010001 => 1
[6,7,8,1,3,2,5,4] => 0010101 => 2
[5,7,8,2,1,3,6,4] => 0011001 => 1
[3,2,7,8,1,4,6,5] => 1001001 => 2
[6,7,8,1,3,2,4,5] => 0010100 => 2
[6,7,8,1,2,4,3,5] => 0010010 => 2
[6,7,8,1,2,3,5,4] => 0010001 => 1
[7,2,8,5,1,6,4,3] => 1011011 => 2
[1,3,7,5,2,6,4,8] => 0011010 => 2
[1,3,7,5,4,2,6,8] => 0011100 => 1
[7,2,8,5,4,1,6,3] => 1011101 => 2
[2,8,5,4,3,1,7,6] => 0111101 => 1
[2,8,4,5,6,1,7,3] => 0100101 => 2
[2,8,6,5,7,3,1,4] => 0110110 => 2
[2,8,4,5,3,7,1,6] => 0101010 => 3
[2,8,4,3,5,6,1,7] => 0110010 => 2
[7,2,8,4,5,6,1,3] => 1010010 => 3
[1,6,3,7,5,2,4,8] => 0101100 => 2
[6,2,3,8,5,1,7,4] => 1001101 => 2
[6,3,2,8,5,1,4,7] => 1101100 => 2
[7,4,8,2,5,6,3,1] => 1010011 => 2
[7,4,8,5,2,1,3,6] => 1011100 => 2
[6,4,8,5,1,3,7,2] => 1011001 => 2
[6,3,7,5,2,1,8,4] => 1011101 => 2
[4,3,7,5,1,2,8,6] => 1011001 => 2
[4,3,7,1,5,6,8,2] => 1010001 => 2
[3,6,1,7,5,2,8,4] => 0101101 => 2
[3,4,1,2,7,6,8,5] => 0100101 => 2
[3,4,2,1,7,5,8,6] => 0110101 => 2
[3,6,5,7,1,4,8,2] => 0101001 => 2
[6,5,2,7,4,1,8,3] => 1101101 => 2
[3,5,2,6,4,8,7,1] => 0101011 => 2
[5,3,1,8,6,4,7,2] => 1101101 => 2
[5,6,1,8,7,2,4,3] => 0101101 => 2
[6,3,5,8,2,7,4,1] => 1001011 => 2
[6,5,8,4,2,3,7,1] => 1011001 => 2
[6,2,5,8,3,7,1,4] => 1001010 => 3
[1,6,5,7,3,4,2,8] => 0101010 => 3
[1,5,2,7,4,6,3,8] => 0101010 => 3
[5,2,1,8,7,6,3,4] => 1101110 => 2
[7,1,3,8,4,6,2,5] => 1001010 => 3
[2,3,4,8,6,1,7,5] => 0001101 => 1
[2,3,4,8,6,5,1,7] => 0001110 => 1
[2,7,3,5,8,6,1,4] => 0100110 => 2
[3,2,4,7,8,6,1,5] => 1000110 => 2
[1,5,4,6,2,7,3,8] => 0101010 => 3
[5,2,4,7,1,8,3,6] => 1001010 => 3
[5,3,6,4,1,8,7,2] => 1011011 => 2
[5,3,6,1,4,8,2,7] => 1010010 => 3
[7,3,5,6,8,4,2,1] => 1000111 => 1
[6,3,5,1,8,2,7,4] => 1010101 => 3
[2,6,1,5,8,4,7,3] => 0100101 => 2
[2,7,6,5,8,3,4,1] => 0110101 => 2
[5,7,1,6,3,8,4,2] => 0101011 => 2
[3,2,4,1,7,8,5,6] => 1010010 => 3
[3,1,4,2,7,8,6,5] => 1010011 => 2
[5,1,4,7,2,8,6,3] => 1001011 => 2
[3,6,4,7,8,2,5,1] => 0100101 => 2
[3,1,4,6,8,5,7,2] => 1000101 => 2
[6,3,4,5,7,1,8,2] => 1000101 => 2
[2,5,4,6,1,7,8,3] => 0101001 => 2
[7,2,1,4,3,6,5,8] => 1101010 => 3
[7,3,4,1,2,6,5,8] => 1010010 => 3
[7,4,3,2,1,6,5,8] => 1111010 => 2
[7,6,3,2,5,4,1,8] => 1110110 => 2
[6,7,3,2,5,4,8,1] => 0110101 => 2
[1,8,3,2,5,4,7,6] => 0110101 => 2
[1,8,4,5,2,3,7,6] => 0101001 => 2
[7,3,5,1,6,2,4,8] => 1010100 => 3
[7,2,1,5,6,3,4,8] => 1100100 => 2
[7,2,1,6,5,4,3,8] => 1101110 => 2
[7,3,6,1,5,4,2,8] => 1010110 => 3
[7,4,6,5,1,3,2,8] => 1011010 => 3
[1,8,5,4,3,2,7,6] => 0111101 => 1
[1,8,6,4,3,7,2,5] => 0111010 => 2
[6,5,7,4,3,1,8,2] => 1011101 => 2
[6,4,7,5,1,3,8,2] => 1011001 => 2
[6,3,7,1,5,4,8,2] => 1010101 => 3
[6,2,1,7,5,4,8,3] => 1101101 => 2
[3,2,1,8,5,4,7,6] => 1101101 => 2
[2,3,8,1,5,4,7,6] => 0010101 => 2
[2,4,8,5,1,3,7,6] => 0011001 => 1
[2,5,8,4,3,1,7,6] => 0011101 => 1
[2,6,8,4,3,7,1,5] => 0011010 => 2
[2,7,8,4,3,6,5,1] => 0011011 => 1
[1,8,7,4,3,6,5,2] => 0111011 => 1
[1,8,7,5,6,3,4,2] => 0110101 => 2
[2,7,8,5,6,3,4,1] => 0010101 => 2
[2,6,8,5,7,3,1,4] => 0010110 => 2
[2,5,8,6,7,1,3,4] => 0010100 => 2
[2,4,8,6,1,7,3,5] => 0011010 => 2
[3,2,1,8,6,7,4,5] => 1101010 => 3
[5,2,1,7,6,8,4,3] => 1101011 => 2
[5,3,7,1,6,8,4,2] => 1010011 => 2
[5,4,7,6,1,8,3,2] => 1011011 => 2
[4,5,7,6,8,1,3,2] => 0010101 => 2
[4,6,7,5,8,3,1,2] => 0010110 => 2
[1,8,6,5,7,3,2,4] => 0110110 => 2
[1,8,5,6,7,2,3,4] => 0100100 => 2
[4,7,5,6,8,2,3,1] => 0100101 => 2
[4,6,5,7,8,2,1,3] => 0100110 => 2
[5,4,6,7,1,8,2,3] => 1001010 => 3
[5,3,6,1,7,8,2,4] => 1010010 => 3
[5,2,1,6,7,8,3,4] => 1100010 => 2
[6,2,1,5,7,3,8,4] => 1100101 => 2
[6,3,5,1,7,2,8,4] => 1010101 => 3
[6,4,5,7,1,2,8,3] => 1001001 => 2
[6,5,4,7,2,1,8,3] => 1101101 => 2
[5,6,4,7,2,8,1,3] => 0101010 => 3
[1,8,4,6,2,7,3,5] => 0101010 => 3
[1,8,3,2,6,7,4,5] => 0110010 => 2
[5,7,3,2,6,8,4,1] => 0110011 => 1
[5,6,3,2,7,8,1,4] => 0110010 => 2
[6,5,3,2,7,1,8,4] => 1110101 => 2
[6,4,3,2,1,7,8,5] => 1111001 => 1
[6,2,1,4,3,7,8,5] => 1101001 => 2
[5,2,1,4,3,8,7,6] => 1101011 => 2
[5,3,4,1,2,8,7,6] => 1010011 => 2
[4,6,3,2,8,7,1,5] => 0110110 => 2
[4,7,3,2,8,6,5,1] => 0110111 => 1
[1,8,3,2,7,6,5,4] => 0110111 => 1
[1,8,4,7,2,6,5,3] => 0101011 => 2
[3,7,4,8,2,6,5,1] => 0101011 => 2
[3,6,4,8,2,7,1,5] => 0101010 => 3
[3,5,4,8,2,1,7,6] => 0101101 => 2
[3,4,5,8,1,2,7,6] => 0001001 => 1
[4,3,5,1,8,2,7,6] => 1010101 => 3
[4,2,1,5,8,3,7,6] => 1100101 => 2
[4,2,1,6,8,7,3,5] => 1100110 => 2
[4,3,6,1,8,7,2,5] => 1010110 => 3
[3,4,6,8,1,7,2,5] => 0001010 => 2
[3,5,6,8,7,1,2,4] => 0001100 => 1
[3,6,5,8,7,2,1,4] => 0101110 => 2
[3,7,5,8,6,2,4,1] => 0101101 => 2
[1,8,5,7,6,2,4,3] => 0101101 => 2
[1,8,6,7,5,4,2,3] => 0101110 => 2
[3,6,7,8,5,4,1,2] => 0001110 => 1
[3,5,7,8,6,1,4,2] => 0001101 => 1
[3,4,7,8,1,6,5,2] => 0001011 => 1
[4,2,1,7,8,6,5,3] => 1100111 => 1
[2,3,8,1,7,6,5,4] => 0010111 => 1
[2,4,8,7,1,6,5,3] => 0011011 => 1
[2,5,8,7,6,1,4,3] => 0011101 => 1
[2,6,8,7,5,4,1,3] => 0011110 => 1
[2,1,4,3,6,5,8,7,10,9,12,11] => 10101010101 => 5
[10,9,8,7,6,5,4,3,2,1,12,11] => 11111111101 => 1
[7,4,6,1,8,3,5,2] => 1010101 => 3
[8,3,5,1,7,4,6,2] => 1010101 => 3
[8,3,4,1,7,5,6,2] => 1010101 => 3
[4,8,3,1,7,5,6,2] => 0110101 => 2
[4,6,2,1,7,5,8,3] => 0110101 => 2
[1,4,6,2,7,5,8,3] => 0010101 => 2
[1,7,5,2,6,8,4,3] => 0110011 => 1
[7,5,2,1,6,8,4,3] => 1110011 => 1
[6,8,4,3,1,7,5,2] => 0111011 => 1
[3,6,8,4,1,7,5,2] => 0011011 => 1
[3,6,7,5,1,8,4,2] => 0011011 => 1
[7,5,6,1,8,3,4,2] => 1010101 => 3
[3,4,6,5,7,1,8,2] => 0010101 => 2
[4,7,5,6,1,8,3,2] => 0101011 => 2
[6,7,5,1,8,4,3,2] => 0110111 => 1
[6,8,4,1,7,5,3,2] => 0110111 => 1
[6,7,5,3,1,8,4,2] => 0111011 => 1
[8,4,2,1,6,7,5,3] => 1110011 => 1
[1,8,4,2,6,7,5,3] => 0110011 => 1
[1,5,3,2,7,6,8,4] => 0110101 => 2
[5,3,2,1,7,6,8,4] => 1110101 => 2
[2,5,3,1,7,6,8,4] => 0110101 => 2
[2,8,4,1,6,7,5,3] => 0110011 => 1
[2,7,5,1,6,8,4,3] => 0110011 => 1
[2,4,6,1,7,5,8,3] => 0010101 => 2
[4,7,1,6,5,8,2,3] => 0101010 => 3
[4,8,2,6,5,7,1,3] => 0101010 => 3
[4,6,1,2,7,5,8,3] => 0100101 => 2
[7,5,1,2,6,8,4,3] => 1100011 => 1
[8,4,1,2,6,7,5,3] => 1100011 => 1
[5,3,1,2,7,6,8,4] => 1100101 => 2
[1,2,5,3,7,6,8,4] => 0010101 => 2
[4,3,1,2,7,6,8,5] => 1100101 => 2
[3,5,1,2,7,6,8,4] => 0100101 => 2
[6,7,1,5,8,2,3,4] => 0100100 => 2
[2,7,6,1,5,8,3,4] => 0110010 => 2
[2,3,5,1,7,6,8,4] => 0010101 => 2
[7,6,1,5,8,3,2,4] => 1100110 => 2
[3,6,7,1,5,8,2,4] => 0010010 => 2
[7,1,6,5,8,2,4,3] => 1010101 => 3
[7,5,1,6,8,4,2,3] => 1100110 => 2
[8,4,1,6,7,5,2,3] => 1100110 => 2
[5,2,3,1,7,6,8,4] => 1010101 => 3
[3,5,2,1,7,6,8,4] => 0110101 => 2
[1,3,5,2,7,6,8,4] => 0010101 => 2
[1,7,6,2,5,8,3,4] => 0110010 => 2
[7,6,2,1,5,8,3,4] => 1110010 => 2
[8,3,1,5,7,6,2,4] => 1100110 => 2
[6,2,4,1,7,5,8,3] => 1010101 => 3
[6,2,5,1,7,4,8,3] => 1010101 => 3
[7,1,6,4,8,2,5,3] => 1010101 => 3
[8,2,6,4,7,1,5,3] => 1010101 => 3
[6,1,5,2,7,4,8,3] => 1010101 => 3
[7,6,2,5,8,3,1,4] => 1100110 => 2
[8,3,5,7,6,2,1,4] => 1001110 => 2
[1,8,3,5,7,6,2,4] => 0100110 => 2
[1,5,2,3,7,6,8,4] => 0100101 => 2
[5,2,1,3,7,6,8,4] => 1100101 => 2
[7,5,2,6,8,4,1,3] => 1100110 => 2
[8,4,2,6,7,5,1,3] => 1100110 => 2
[6,1,4,2,7,5,8,3] => 1010101 => 3
[8,2,6,5,7,1,4,3] => 1010101 => 3
[3,6,8,2,5,7,1,4] => 0010010 => 2
[8,3,2,5,7,6,1,4] => 1100110 => 2
[5,1,3,2,7,6,8,4] => 1010101 => 3
[4,1,3,2,7,6,8,5] => 1010101 => 3
[4,2,1,3,7,6,8,5] => 1100101 => 2
[1,4,2,3,7,6,8,5] => 0100101 => 2
[2,4,1,3,7,6,8,5] => 0100101 => 2
[2,5,1,3,7,6,8,4] => 0100101 => 2
[2,8,3,5,7,6,1,4] => 0100110 => 2
[6,8,2,3,5,7,1,4] => 0100010 => 2
[6,7,1,3,5,8,2,4] => 0100010 => 2
[8,3,5,7,6,1,2,4] => 1001100 => 2
[5,1,2,3,7,6,8,4] => 1000101 => 2
[3,1,2,4,7,6,8,5] => 1000101 => 2
[10,8,9,5,6,7,1,2,3,4] => 101001000 => 3
[10,8,9,4,5,6,1,2,3,7] => 101001000 => 3
[10,7,8,5,6,9,1,2,3,4] => 101001000 => 3
[10,7,8,4,5,9,1,2,3,6] => 101001000 => 3
[10,6,7,4,5,8,1,2,3,9] => 101001000 => 3
[10,7,8,3,4,9,1,2,5,6] => 101001000 => 3
[10,6,7,3,4,8,1,2,5,9] => 101001000 => 3
[9,8,10,5,6,7,1,2,3,4] => 101001000 => 3
[9,8,10,4,5,6,1,2,3,7] => 101001000 => 3
[9,7,10,5,6,8,1,2,3,4] => 101001000 => 3
[9,7,10,4,5,8,1,2,3,6] => 101001000 => 3
[9,6,10,4,5,7,1,2,3,8] => 101001000 => 3
[9,7,10,3,4,8,1,2,5,6] => 101001000 => 3
[9,6,10,3,4,7,1,2,5,8] => 101001000 => 3
[8,7,9,5,6,10,1,2,3,4] => 101001000 => 3
[8,7,9,4,5,10,1,2,3,6] => 101001000 => 3
[8,6,9,4,5,10,1,2,3,7] => 101001000 => 3
[7,6,8,4,5,9,1,2,3,10] => 101001000 => 3
[8,7,9,3,4,10,1,2,5,6] => 101001000 => 3
[8,6,9,3,4,10,1,2,5,7] => 101001000 => 3
[7,6,8,3,4,9,1,2,5,10] => 101001000 => 3
[9,6,10,5,7,8,1,2,3,4] => 101001000 => 3
[9,6,10,4,7,8,1,2,3,5] => 101001000 => 3
[9,5,10,4,6,7,1,2,3,8] => 101001000 => 3
[9,6,10,3,7,8,1,2,4,5] => 101001000 => 3
[9,5,10,3,6,7,1,2,4,8] => 101001000 => 3
[8,6,9,5,7,10,1,2,3,4] => 101001000 => 3
[8,6,9,4,7,10,1,2,3,5] => 101001000 => 3
[8,5,9,4,6,10,1,2,3,7] => 101001000 => 3
[7,5,8,4,6,9,1,2,3,10] => 101001000 => 3
[8,6,9,3,7,10,1,2,4,5] => 101001000 => 3
[8,5,9,3,6,10,1,2,4,7] => 101001000 => 3
[7,5,8,3,6,9,1,2,4,10] => 101001000 => 3
[8,4,9,3,5,10,1,2,6,7] => 101001000 => 3
[7,4,8,3,5,9,1,2,6,10] => 101001000 => 3
[9,6,10,2,7,8,1,3,4,5] => 101001000 => 3
[9,5,10,2,6,7,1,3,4,8] => 101001000 => 3
[8,6,9,2,7,10,1,3,4,5] => 101001000 => 3
[8,5,9,2,6,10,1,3,4,7] => 101001000 => 3
[7,5,8,2,6,9,1,3,4,10] => 101001000 => 3
[8,4,9,2,5,10,1,3,6,7] => 101001000 => 3
[7,4,8,2,5,9,1,3,6,10] => 101001000 => 3
[8,1,2,4,3,6,5,7] => 1001010 => 3
[8,1,3,5,6,2,7,4] => 1000101 => 2
[8,1,3,4,2,6,7,5] => 1001001 => 2
[8,1,3,2,4,5,7,6] => 1010001 => 2
[2,7,8,3,4,5,6,1] => 0010001 => 1
[2,6,3,8,4,5,7,1] => 0101001 => 2
[6,3,2,1,4,5,8,7] => 1110001 => 1
[7,3,1,4,2,6,8,5] => 1101001 => 2
[7,4,1,5,6,8,2,3] => 1100010 => 2
[4,7,8,5,6,1,2,3] => 0010100 => 2
[3,7,8,5,6,2,1,4] => 0010110 => 2
[3,7,8,4,2,6,1,5] => 0011010 => 2
[3,7,8,2,4,5,1,6] => 0010010 => 2
[3,6,2,8,4,5,1,7] => 0101010 => 3
[2,3,6,7,4,5,8,1] => 0001001 => 1
[3,5,2,4,8,6,1,7] => 0100110 => 2
[3,5,4,2,8,7,1,6] => 0110110 => 2
[4,6,5,8,7,1,2,3] => 0101100 => 2
[6,4,5,1,7,8,2,3] => 1010010 => 3
[7,4,1,2,3,8,5,6] => 1100010 => 2
[6,2,4,1,3,7,5,8] => 1010010 => 3
[2,6,4,8,3,7,5,1] => 0101011 => 2
[2,6,5,8,7,3,4,1] => 0101101 => 2
[6,2,5,1,7,3,4,8] => 1010100 => 3
[6,5,2,1,8,3,4,7] => 1110100 => 2
[2,5,6,7,8,3,4,1] => 0000101 => 1
[2,4,6,7,3,8,5,1] => 0001011 => 1
[4,2,6,7,3,1,5,8] => 1001100 => 2
[4,7,8,2,3,1,5,6] => 0010100 => 2
[4,7,8,3,2,1,6,5] => 0011101 => 1
[5,6,4,8,1,7,2,3] => 0101010 => 3
[5,6,3,8,1,2,7,4] => 0101001 => 2
[4,2,5,3,7,1,6,8] => 1010100 => 3
[4,3,6,7,2,1,8,5] => 1001101 => 2
[3,4,6,7,2,8,1,5] => 0001010 => 2
[3,4,5,2,7,8,1,6] => 0010010 => 2
[3,4,2,5,6,8,1,7] => 0100010 => 2
[5,2,7,8,6,4,1,3] => 1001110 => 2
[5,1,2,7,8,6,4,3] => 1000111 => 1
[4,7,1,8,6,5,2,3] => 0101110 => 2
[4,7,1,2,8,6,5,3] => 0100111 => 1
[4,6,8,1,2,7,5,3] => 0010011 => 1
[6,8,7,1,5,3,2,4] => 0110110 => 2
[6,8,7,3,5,1,2,4] => 0110100 => 2
[7,8,1,6,3,5,2,4] => 0101010 => 3
[7,8,1,3,6,5,2,4] => 0100110 => 2
[7,8,3,6,5,2,1,4] => 0101110 => 2
[4,7,2,8,6,1,5,3] => 0101101 => 2
[1,7,3,4,8,6,5,2] => 0100111 => 1
[4,2,7,1,8,6,5,3] => 1010111 => 2
[7,8,2,3,6,5,1,4] => 0100110 => 2
[8,5,7,1,6,2,3,4] => 1010100 => 3
[8,5,7,1,2,6,3,4] => 1010010 => 3
[6,8,2,7,1,3,5,4] => 0101001 => 2
[6,8,7,2,5,3,1,4] => 0110110 => 2
[6,2,4,8,7,1,5,3] => 1001101 => 2
[1,6,8,3,7,4,5,2] => 0010101 => 2
[1,6,8,3,4,7,5,2] => 0010011 => 1
[6,2,4,8,1,7,5,3] => 1001011 => 2
[6,8,7,2,3,5,1,4] => 0110010 => 2
[6,8,2,1,7,3,5,4] => 0110101 => 2
[8,5,7,2,1,6,3,4] => 1011010 => 3
[8,5,7,1,2,3,6,4] => 1010001 => 2
[8,7,6,2,1,4,3,5] => 1111010 => 2
[8,5,7,2,3,1,6,4] => 1010101 => 3
[5,8,4,2,7,1,6,3] => 0110101 => 2
[1,8,7,5,3,4,6,2] => 0111001 => 1
[1,8,7,3,5,4,6,2] => 0110101 => 2
[8,2,5,4,7,1,6,3] => 1010101 => 3
[8,5,2,7,3,1,6,4] => 1101101 => 2
[8,7,6,2,4,3,1,5] => 1110110 => 2
[8,7,6,1,2,4,3,5] => 1110010 => 2
[8,7,6,1,4,2,3,5] => 1110100 => 2
[8,7,6,4,1,3,2,5] => 1111010 => 2
[5,8,4,7,2,1,6,3] => 0101101 => 2
[1,8,7,5,4,3,6,2] => 0111101 => 1
[1,6,8,4,3,7,5,2] => 0011011 => 1
[6,8,7,3,2,5,1,4] => 0111010 => 2
[6,8,1,7,3,2,5,4] => 0101101 => 2
[8,5,7,3,1,6,2,4] => 1011010 => 3
[8,5,7,1,3,2,6,4] => 1010101 => 3
[8,5,7,3,1,2,6,4] => 1011001 => 2
[5,8,4,7,1,2,6,3] => 0101001 => 2
[5,8,4,1,7,2,6,3] => 0110101 => 2
[5,8,4,7,1,6,2,3] => 0101010 => 3
[8,1,2,6,5,7,4,3] => 1001011 => 2
[8,2,5,6,7,4,1,3] => 1000110 => 2
[4,8,5,7,1,6,2,3] => 0101010 => 3
[4,8,5,7,1,2,6,3] => 0101001 => 2
[4,8,5,1,7,2,6,3] => 0110101 => 2
[8,5,3,1,7,2,6,4] => 1110101 => 2
[8,5,3,7,1,2,6,4] => 1101001 => 2
[6,8,1,3,7,2,5,4] => 0100101 => 2
[4,6,2,8,1,7,5,3] => 0101011 => 2
[1,6,4,8,3,7,5,2] => 0101011 => 2
[1,8,7,4,5,3,6,2] => 0110101 => 2
[4,8,5,7,2,1,6,3] => 0101101 => 2
[8,5,3,7,2,1,6,4] => 1101101 => 2
[8,7,6,3,1,4,2,5] => 1111010 => 2
[8,7,6,1,3,2,4,5] => 1110100 => 2
[8,5,3,2,7,1,6,4] => 1110101 => 2
[4,8,5,2,7,1,6,3] => 0110101 => 2
[1,8,7,4,3,5,6,2] => 0111001 => 1
[1,8,7,3,4,5,6,2] => 0110001 => 1
[8,2,4,5,7,1,6,3] => 1000101 => 2
[8,5,2,3,7,1,6,4] => 1100101 => 2
[6,3,1,5,4,2,8,7] => 1101101 => 2
[8,3,1,5,2,7,6,4] => 1101011 => 2
[8,5,4,2,1,7,3,6] => 1111010 => 2
[8,5,4,2,1,7,6,3] => 1111011 => 1
[6,5,4,2,1,3,8,7] => 1111001 => 1
[6,5,4,2,3,1,8,7] => 1110101 => 2
[6,3,2,5,1,4,8,7] => 1101001 => 2
[6,5,4,3,1,2,8,7] => 1111001 => 1
[6,5,4,1,3,2,8,7] => 1110101 => 2
[8,5,4,1,2,7,6,3] => 1110011 => 1
[8,7,4,1,6,3,2,5] => 1110110 => 2
[8,7,4,1,6,3,5,2] => 1110101 => 2
[8,7,4,1,6,5,3,2] => 1110111 => 1
[8,5,4,1,3,7,6,2] => 1110011 => 1
[8,5,4,3,1,7,6,2] => 1111011 => 1
[8,3,2,5,1,7,6,4] => 1101011 => 2
[2,1,8,5,3,7,6,4] => 1011011 => 2
[8,3,2,5,1,7,4,6] => 1101010 => 3
[8,5,4,3,1,7,2,6] => 1111010 => 2
[8,5,4,1,3,7,2,6] => 1110010 => 2
[8,7,4,1,6,5,2,3] => 1110110 => 2
[8,7,4,1,6,2,5,3] => 1110101 => 2
[8,7,6,5,2,1,4,3] => 1111101 => 1
[8,7,4,3,6,2,1,5] => 1110110 => 2
[8,3,2,7,6,4,1,5] => 1101110 => 2
[2,1,8,7,6,4,3,5] => 1011110 => 2
[2,1,8,7,6,4,5,3] => 1011101 => 2
[8,3,2,7,6,4,5,1] => 1101101 => 2
[8,7,4,3,6,2,5,1] => 1110101 => 2
[8,7,6,5,2,4,3,1] => 1111011 => 1
[8,5,4,2,3,7,6,1] => 1110011 => 1
[8,7,4,2,6,5,3,1] => 1110111 => 1
[8,7,4,2,6,3,5,1] => 1110101 => 2
[8,7,4,2,6,3,1,5] => 1110110 => 2
[8,3,1,7,6,4,2,5] => 1101110 => 2
[8,3,1,7,6,4,5,2] => 1101101 => 2
[8,3,1,7,6,5,4,2] => 1101111 => 1
[8,3,1,5,4,7,6,2] => 1101011 => 2
[8,3,1,5,4,7,2,6] => 1101010 => 3
[8,3,1,7,6,5,2,4] => 1101110 => 2
[8,3,1,7,6,2,5,4] => 1101101 => 2
[8,7,4,2,6,1,5,3] => 1110101 => 2
[8,7,4,2,6,5,1,3] => 1110110 => 2
[8,5,4,2,3,7,1,6] => 1110010 => 2
[8,3,2,5,4,7,1,6] => 1101010 => 3
[2,1,8,5,4,7,3,6] => 1011010 => 3
[8,3,2,7,6,5,1,4] => 1101110 => 2
[8,7,4,3,6,5,1,2] => 1110110 => 2
[8,7,6,5,3,1,4,2] => 1111101 => 1
[8,7,6,5,1,3,2,4] => 1111010 => 2
[8,7,6,5,1,3,4,2] => 1111001 => 1
[8,7,6,5,1,4,3,2] => 1111011 => 1
[8,7,6,5,4,1,3,2] => 1111101 => 1
[8,7,4,3,6,1,5,2] => 1110101 => 2
[8,3,2,7,6,1,5,4] => 1101101 => 2
[2,1,8,7,6,3,5,4] => 1011101 => 2
[8,3,2,7,6,1,4,5] => 1101100 => 2
[8,7,6,5,1,4,2,3] => 1111010 => 2
[8,7,6,5,1,2,4,3] => 1111001 => 1
[7,3,5,1,8,4,6,2] => 1010101 => 3
[7,3,4,1,8,5,6,2] => 1010101 => 3
[4,5,6,2,1,8,7,3] => 0011011 => 1
[1,6,5,2,7,4,3,8] => 0110110 => 2
[7,4,3,1,8,6,5,2] => 1110111 => 1
[7,6,5,1,8,4,3,2] => 1110111 => 1
[7,6,4,1,8,5,3,2] => 1110111 => 1
[6,4,2,1,8,7,5,3] => 1110111 => 1
[1,6,4,2,7,5,3,8] => 0110110 => 2
[1,5,3,2,7,6,4,8] => 0110110 => 2
[5,3,2,1,8,7,6,4] => 1110111 => 1
[2,5,3,1,7,8,6,4] => 0110011 => 1
[2,6,4,1,7,8,5,3] => 0110011 => 1
[2,6,5,1,7,8,4,3] => 0110011 => 1
[4,5,7,1,6,8,2,3] => 0010010 => 2
[6,5,1,2,8,4,3,7] => 1100110 => 2
[6,4,1,2,8,5,3,7] => 1100110 => 2
[5,3,1,2,8,6,4,7] => 1100110 => 2
[4,3,1,2,8,6,5,7] => 1100110 => 2
[6,1,2,5,8,3,4,7] => 1000100 => 2
[7,1,3,4,8,2,5,6] => 1000100 => 2
[7,1,5,6,8,2,3,4] => 1000100 => 2
[2,6,1,5,7,8,3,4] => 0100010 => 2
[7,4,1,6,8,5,2,3] => 1100110 => 2
[5,2,3,1,8,6,7,4] => 1010101 => 3
[3,5,2,1,6,8,7,4] => 0110011 => 1
[1,6,2,5,7,3,4,8] => 0100100 => 2
[6,2,1,5,8,7,3,4] => 1100110 => 2
[7,3,1,5,8,6,2,4] => 1100110 => 2
[6,2,4,1,8,5,7,3] => 1010101 => 3
[6,2,5,1,8,4,7,3] => 1010101 => 3
[7,3,1,4,8,6,2,5] => 1100110 => 2
[6,2,1,4,8,7,3,5] => 1100110 => 2
[1,6,2,4,7,3,5,8] => 0100100 => 2
[5,2,1,3,8,7,4,6] => 1100110 => 2
[7,4,1,3,8,5,2,6] => 1100110 => 2
[7,5,1,3,8,4,2,6] => 1100110 => 2
[3,6,7,1,4,8,2,5] => 0010010 => 2
[7,6,1,4,8,3,2,5] => 1100110 => 2
[4,2,1,3,8,7,5,6] => 1100110 => 2
[2,6,1,4,7,8,3,5] => 0100010 => 2
[7,1,4,6,8,2,3,5] => 1000100 => 2
[7,1,3,5,8,2,4,6] => 1000100 => 2
[6,1,2,4,8,3,5,7] => 1000100 => 2
[5,2,3,1,6,4,8,7] => 1010101 => 3
[7,4,5,2,3,1,8,6] => 1010101 => 3
[8,6,7,3,5,2,4,1] => 1010101 => 3
[7,3,5,2,4,1,8,6] => 1010101 => 3
[6,3,5,2,4,1,8,7] => 1010101 => 3
[5,2,4,1,6,3,8,7] => 1010101 => 3
[4,1,6,3,5,2,8,7] => 1010101 => 3
[6,3,4,1,5,2,8,7] => 1010101 => 3
[5,2,6,3,4,1,8,7] => 1010101 => 3
[5,2,7,3,4,1,8,6] => 1010101 => 3
[5,2,8,6,7,3,4,1] => 1010101 => 3
[6,2,8,5,7,3,4,1] => 1010101 => 3
[6,2,7,3,4,1,8,5] => 1010101 => 3
[7,3,4,1,5,2,8,6] => 1010101 => 3
[4,1,7,3,5,2,8,6] => 1010101 => 3
[3,1,7,4,5,2,8,6] => 1010101 => 3
[2,1,7,4,5,3,8,6] => 1010101 => 3
[3,1,8,6,7,4,5,2] => 1010101 => 3
[4,1,8,6,7,3,5,2] => 1010101 => 3
[8,6,7,3,4,1,5,2] => 1010101 => 3
[8,5,7,3,4,1,6,2] => 1010101 => 3
[8,5,6,2,7,3,4,1] => 1010101 => 3
[8,4,7,3,5,1,6,2] => 1010101 => 3
[5,1,8,4,7,3,6,2] => 1010101 => 3
[4,1,8,5,7,3,6,2] => 1010101 => 3
[3,1,8,5,7,4,6,2] => 1010101 => 3
[2,1,8,5,7,4,6,3] => 1010101 => 3
[2,1,7,4,6,3,8,5] => 1010101 => 3
[3,1,7,4,6,2,8,5] => 1010101 => 3
[4,1,7,3,6,2,8,5] => 1010101 => 3
[5,1,7,3,6,2,8,4] => 1010101 => 3
[6,2,7,3,5,1,8,4] => 1010101 => 3
[6,2,8,4,7,3,5,1] => 1010101 => 3
[8,4,7,3,6,2,5,1] => 1010101 => 3
[7,3,6,2,5,1,8,4] => 1010101 => 3
[6,2,5,1,7,3,8,4] => 1010101 => 3
[5,2,4,1,7,3,8,6] => 1010101 => 3
[6,2,4,1,7,3,8,5] => 1010101 => 3
[8,5,7,3,6,2,4,1] => 1010101 => 3
[8,5,7,4,6,2,3,1] => 1010101 => 3
[7,4,6,2,3,1,8,5] => 1010101 => 3
[6,2,3,1,7,4,8,5] => 1010101 => 3
[5,2,3,1,7,4,8,6] => 1010101 => 3
[4,2,3,1,7,5,8,6] => 1010101 => 3
[3,1,4,2,8,6,7,5] => 1010101 => 3
[6,2,3,1,8,5,7,4] => 1010101 => 3
[8,5,6,2,3,1,7,4] => 1010101 => 3
[7,4,8,5,6,2,3,1] => 1010101 => 3
[7,3,8,5,6,2,4,1] => 1010101 => 3
[8,5,6,2,4,1,7,3] => 1010101 => 3
[5,2,4,1,8,6,7,3] => 1010101 => 3
[4,1,5,2,8,6,7,3] => 1010101 => 3
[3,1,5,2,8,6,7,4] => 1010101 => 3
[2,1,6,3,8,5,7,4] => 1010101 => 3
[3,1,6,2,8,5,7,4] => 1010101 => 3
[4,1,6,2,8,5,7,3] => 1010101 => 3
[5,1,6,2,8,4,7,3] => 1010101 => 3
[8,4,6,2,5,1,7,3] => 1010101 => 3
[7,3,8,4,6,2,5,1] => 1010101 => 3
[6,2,7,3,8,4,5,1] => 1010101 => 3
[8,4,5,1,6,2,7,3] => 1010101 => 3
[5,1,8,4,6,2,7,3] => 1010101 => 3
[4,1,8,5,6,2,7,3] => 1010101 => 3
[3,1,8,5,6,2,7,4] => 1010101 => 3
[2,1,8,5,6,3,7,4] => 1010101 => 3
[2,1,7,4,8,5,6,3] => 1010101 => 3
[3,1,7,4,8,5,6,2] => 1010101 => 3
[4,1,7,3,8,5,6,2] => 1010101 => 3
[7,3,8,4,5,1,6,2] => 1010101 => 3
[8,4,5,1,7,3,6,2] => 1010101 => 3
[7,3,6,2,8,4,5,1] => 1010101 => 3
[7,8,5,6,1,3,4,2] => 0101001 => 2
[7,8,1,3,6,2,5,4] => 0100101 => 2
[1,3,8,4,7,2,5,6] => 0010100 => 2
[3,6,1,4,7,2,5,8] => 0100100 => 2
[4,6,1,2,5,7,3,8] => 0100010 => 2
[1,4,8,2,5,7,3,6] => 0010010 => 2
[7,8,2,4,5,6,1,3] => 0100010 => 2
[7,8,1,5,4,6,3,2] => 0101011 => 2
[7,8,2,1,6,3,4,5] => 0110100 => 2
[7,8,3,5,6,4,1,2] => 0100110 => 2
[7,8,1,4,2,3,6,5] => 0101001 => 2
[7,8,5,1,4,2,6,3] => 0110101 => 2
[7,8,4,5,3,1,6,2] => 0101101 => 2
[1,5,8,4,3,2,7,6] => 0011101 => 1
[5,6,1,4,3,2,7,8] => 0101100 => 2
[2,6,4,8,3,7,1,5] => 0101010 => 3
[1,4,6,8,3,7,5,2] => 0001011 => 1
[2,4,8,5,3,1,6,7] => 0011100 => 1
[2,5,8,1,4,7,6,3] => 0010011 => 1
[3,5,8,4,7,6,1,2] => 0010110 => 2
[1,6,2,4,7,3,8,5] => 0100101 => 2
[5,6,2,1,4,7,8,3] => 0110001 => 1
[4,6,2,5,3,1,8,7] => 0101101 => 2
[4,7,5,1,3,6,8,2] => 0110001 => 1
[7,5,3,6,2,4,1,8] => 1101010 => 3
[5,7,3,6,1,4,8,2] => 0101001 => 2
[5,3,6,7,2,1,8,4] => 1001101 => 2
[6,1,7,5,2,4,8,3] => 1011001 => 2
[6,3,1,2,4,5,8,7] => 1100001 => 1
[1,4,7,2,5,3,8,6] => 0010101 => 2
[4,6,7,8,3,5,1,2] => 0001010 => 2
[3,6,1,8,4,2,5,7] => 0101100 => 2
[1,6,7,5,8,2,4,3] => 0010101 => 2
[3,5,6,7,8,1,4,2] => 0000101 => 1
[3,6,5,7,8,2,1,4] => 0100110 => 2
[5,2,7,6,1,4,3,8] => 1011010 => 3
[2,5,7,6,8,1,3,4] => 0010100 => 2
[2,7,5,6,8,4,1,3] => 0100110 => 2
[2,1,6,8,4,5,3,7] => 1001010 => 3
[2,7,1,8,5,3,4,6] => 0101100 => 2
[3,7,6,8,5,4,1,2] => 0101110 => 2
[4,3,8,5,6,7,1,2] => 1010010 => 3
[4,2,8,1,6,3,7,5] => 1010101 => 3
[3,1,8,5,4,6,7,2] => 1011001 => 2
[3,2,8,4,5,6,1,7] => 1010010 => 3
[3,4,2,8,6,1,7,5] => 0101101 => 2
[3,4,7,1,5,2,6,8] => 0010100 => 2
[4,3,7,8,1,2,6,5] => 1001001 => 2
[1,7,3,8,5,2,6,4] => 0101101 => 2
[4,1,8,3,6,2,5,7] => 1010100 => 3
[5,7,8,6,3,2,1,4] => 0011110 => 1
[5,7,8,6,1,3,4,2] => 0011001 => 1
[7,6,5,8,1,3,4,2] => 1101001 => 2
[1,6,4,3,8,2,5,7] => 0110100 => 2
[7,1,3,4,8,2,6,5] => 1000101 => 2
[3,6,5,4,1,2,7,8] => 0111000 => 1
[2,4,5,1,7,8,6,3] => 0010011 => 1
[2,6,3,4,5,8,1,7] => 0100010 => 2
[2,6,4,1,8,3,7,5] => 0110101 => 2
[7,3,6,4,8,5,1,2] => 1010110 => 3
[7,2,1,4,8,3,5,6] => 1100100 => 2
[7,1,6,5,3,8,4,2] => 1011011 => 2
[7,2,5,6,3,8,1,4] => 1001010 => 3
[6,5,2,7,1,8,4,3] => 1101011 => 2
[5,6,2,7,3,1,4,8] => 0101100 => 2
[5,6,7,4,2,8,1,3] => 0011010 => 2
[5,7,6,4,1,8,3,2] => 0111011 => 1
[6,7,1,5,2,8,3,4] => 0101010 => 3
[1,7,5,2,4,8,3,6] => 0110010 => 2
[6,1,5,2,8,3,4,7] => 1010100 => 3
[6,7,5,3,8,4,1,2] => 0110110 => 2
[1,6,5,4,2,3,8,7] => 0111001 => 1
[7,1,5,3,4,2,8,6] => 1010101 => 3
[7,6,1,5,3,2,8,4] => 1101101 => 2
[7,5,6,4,1,2,8,3] => 1011001 => 2
[6,7,5,4,3,1,8,2] => 0111101 => 1
[7,5,2,4,3,1,6,8] => 1101100 => 2
[7,4,6,1,2,5,3,8] => 1010010 => 3
[7,1,4,2,5,3,6,8] => 1010100 => 3
[6,8,1,4,2,5,7,3] => 0101001 => 2
[1,6,4,2,5,7,3,8] => 0110010 => 2
[1,6,3,7,5,4,2,8] => 0101110 => 2
[6,8,1,3,7,5,4,2] => 0100111 => 1
[7,1,3,5,6,4,2,8] => 1000110 => 2
[7,3,1,6,4,5,2,8] => 1101010 => 3
[7,4,2,6,5,1,3,8] => 1101100 => 2
[7,4,6,3,1,5,2,8] => 1011010 => 3
[7,2,4,1,5,3,6,8] => 1010100 => 3
[7,2,3,5,4,1,6,8] => 1001100 => 2
[6,8,1,2,3,4,7,5] => 0100001 => 1
[1,5,7,2,3,8,6,4] => 0010011 => 1
[5,1,8,2,3,6,7,4] => 1010001 => 2
[5,8,2,3,7,6,4,1] => 0100111 => 1
[6,2,8,1,3,7,4,5] => 1010010 => 3
[6,8,2,3,5,4,7,1] => 0100101 => 2
[6,8,2,4,1,5,7,3] => 0101001 => 2
[6,8,3,1,2,4,7,5] => 0110001 => 1
[2,6,4,1,5,7,3,8] => 0110010 => 2
[2,6,3,5,7,1,4,8] => 0100100 => 2
[2,5,1,7,8,3,6,4] => 0100101 => 2
[2,5,3,6,8,4,7,1] => 0100101 => 2
[2,1,4,7,8,5,6,3] => 1000101 => 2
[2,4,7,6,8,5,1,3] => 0010110 => 2
[2,5,3,7,6,1,8,4] => 0101101 => 2
[2,5,7,8,1,4,6,3] => 0001001 => 1
[3,5,7,4,1,6,2,8] => 0011010 => 2
[5,3,4,1,8,6,7,2] => 1010101 => 3
[5,2,8,4,6,1,7,3] => 1010101 => 3
[5,2,1,8,6,3,7,4] => 1101101 => 2
[4,2,8,6,5,3,7,1] => 1011101 => 2
[4,2,8,5,7,6,3,1] => 1010111 => 2
[1,4,2,7,5,8,6,3] => 0101011 => 2
[4,1,8,6,7,5,3,2] => 1010111 => 2
[5,3,8,7,6,2,4,1] => 1011101 => 2
[5,8,4,7,6,2,1,3] => 0101110 => 2
[5,8,7,4,3,6,1,2] => 0111010 => 2
[6,4,8,3,1,7,2,5] => 1011010 => 3
[6,4,2,8,7,1,3,5] => 1101100 => 2
[6,3,8,7,2,5,1,4] => 1011010 => 3
[5,8,3,7,1,6,4,2] => 0101011 => 2
[5,1,3,8,6,7,2,4] => 1001010 => 3
[1,5,3,7,8,6,2,4] => 0100110 => 2
[1,5,7,6,4,2,8,3] => 0011101 => 1
[5,8,7,4,1,6,2,3] => 0111010 => 2
[6,4,8,1,2,7,3,5] => 1010010 => 3
[6,8,5,1,2,3,7,4] => 0110001 => 1
[6,8,5,2,4,3,7,1] => 0110101 => 2
[6,8,5,3,1,2,7,4] => 0111001 => 1
[4,5,1,2,7,6,3,8] => 0100110 => 2
[4,5,1,2,6,8,7,3] => 0100011 => 1
[3,5,6,1,8,4,7,2] => 0010101 => 2
[3,5,7,1,2,8,6,4] => 0010011 => 1
[3,6,2,7,5,1,4,8] => 0101100 => 2
[4,2,6,1,7,3,5,8] => 1010100 => 3
[4,6,3,1,2,7,5,8] => 0110010 => 2
[4,5,3,1,7,6,2,8] => 0110110 => 2
[4,2,5,7,1,6,3,8] => 1001010 => 3
[3,5,2,7,8,1,6,4] => 0100101 => 2
[3,1,4,7,5,6,2,8] => 1001010 => 3
[3,4,6,5,8,7,1,2] => 0010110 => 2
[3,1,4,5,8,6,7,2] => 1000101 => 2
[3,4,6,8,5,2,7,1] => 0001101 => 1
[3,5,6,2,8,4,7,1] => 0010101 => 2
[4,2,5,6,1,8,7,3] => 1001011 => 2
[4,5,3,1,6,8,7,2] => 0110011 => 1
[2,1,7,5,8,6,4,3] => 1010111 => 2
[1,2,7,5,3,8,6,4] => 0011011 => 1
[4,1,2,7,3,8,6,5] => 1001011 => 2
[6,4,1,7,5,2,3,8] => 1101100 => 2
[6,1,3,7,5,2,4,8] => 1001100 => 2
[3,1,2,6,8,5,4,7] => 1000110 => 2
[3,7,1,2,5,4,8,6] => 0100101 => 2
[1,3,7,2,4,8,6,5] => 0010011 => 1
[2,4,1,7,8,6,5,3] => 0100111 => 1
[3,4,7,5,1,8,6,2] => 0011011 => 1
[2,7,4,1,5,8,6,3] => 0110011 => 1
[2,3,7,1,5,8,6,4] => 0010011 => 1
[5,2,8,1,3,7,4,6] => 1010010 => 3
[2,1,6,8,3,4,7,5] => 1001001 => 2
[2,6,8,3,1,5,7,4] => 0011001 => 1
[2,8,6,4,1,5,7,3] => 0111001 => 1
[3,6,4,8,5,1,7,2] => 0101101 => 2
[6,3,7,4,5,1,8,2] => 1010101 => 3
[2,6,3,7,5,8,1,4] => 0101010 => 3
[5,2,1,7,8,3,4,6] => 1100100 => 2
[4,7,2,3,6,8,1,5] => 0100010 => 2
[5,2,7,3,6,8,1,4] => 1010010 => 3
[5,7,4,6,2,8,1,3] => 0101010 => 3
[5,7,3,4,6,1,8,2] => 0100101 => 2
[5,3,8,4,6,1,7,2] => 1010101 => 3
[8,5,2,4,1,6,7,3] => 1101001 => 2
[8,2,3,5,1,6,7,4] => 1001001 => 2
[4,2,8,3,6,7,1,5] => 1010010 => 3
[2,4,8,1,7,3,5,6] => 0010100 => 2
[8,4,1,3,6,2,5,7] => 1100100 => 2
[4,8,3,1,7,2,5,6] => 0110100 => 2
[5,2,8,4,7,1,6,3] => 1010101 => 3
[5,8,4,7,3,1,6,2] => 0101101 => 2
[4,6,8,3,1,7,5,2] => 0011011 => 1
[6,3,8,2,7,1,5,4] => 1010101 => 3
[6,3,1,8,2,4,7,5] => 1101001 => 2
[5,3,8,1,2,6,4,7] => 1010010 => 3
[5,7,4,1,6,2,3,8] => 0110100 => 2
[8,5,4,1,2,6,3,7] => 1110010 => 2
[5,1,8,4,2,7,3,6] => 1011010 => 3
[1,6,2,8,5,3,7,4] => 0101101 => 2
[6,8,5,3,1,7,4,2] => 0111011 => 1
[8,4,5,1,2,6,3,7] => 1010010 => 3
[5,6,3,7,1,2,4,8] => 0101000 => 2
[1,6,3,7,2,8,4,5] => 0101010 => 3
[6,3,2,7,8,5,1,4] => 1100110 => 2
[4,5,7,8,3,1,6,2] => 0001101 => 1
[4,7,2,5,8,1,6,3] => 0100101 => 2
[8,1,3,4,6,2,5,7] => 1000100 => 2
[3,8,2,4,6,7,1,5] => 0100010 => 2
[3,5,6,8,2,7,1,4] => 0001010 => 2
[2,4,5,6,8,1,7,3] => 0000101 => 1
[4,8,3,5,6,1,7,2] => 0100101 => 2
[5,6,2,3,7,8,1,4] => 0100010 => 2
[5,8,7,3,4,1,2,6] => 0110100 => 2
[6,8,7,3,4,1,2,5] => 0110100 => 2
[6,8,4,7,1,5,3,2] => 0101011 => 2
[6,8,4,7,2,5,3,1] => 0101011 => 2
[5,4,8,7,2,6,3,1] => 1011011 => 2
[5,4,8,7,1,6,3,2] => 1011011 => 2
[5,3,8,7,6,1,2,4] => 1011100 => 2
[4,3,8,7,6,1,2,5] => 1011100 => 2
[4,8,3,7,5,1,2,6] => 0101100 => 2
[8,3,4,6,5,1,2,7] => 1001100 => 2
[3,8,4,7,5,1,2,6] => 0101100 => 2
[3,4,8,7,6,1,2,5] => 0011100 => 1
[3,5,8,7,6,1,2,4] => 0011100 => 1
[4,5,8,7,6,1,2,3] => 0011100 => 1
[4,5,8,7,1,6,3,2] => 0011011 => 1
[4,5,8,7,2,6,3,1] => 0011011 => 1
[3,5,8,2,7,6,4,1] => 0010111 => 1
[3,5,8,1,7,6,4,2] => 0010111 => 1
[2,5,8,1,7,6,4,3] => 0010111 => 1
[2,5,8,7,1,6,3,4] => 0011010 => 2
[2,4,8,7,1,6,3,5] => 0011010 => 2
[2,8,4,7,1,5,3,6] => 0101010 => 3
[8,2,4,6,1,5,3,7] => 1001010 => 3
[8,1,4,6,2,5,3,7] => 1001010 => 3
[1,8,4,7,2,5,3,6] => 0101010 => 3
[1,4,8,7,2,6,3,5] => 0011010 => 2
[1,5,8,7,2,6,3,4] => 0011010 => 2
[1,5,8,2,7,6,4,3] => 0010111 => 1
[2,5,8,3,7,6,4,1] => 0010111 => 1
[1,4,2,8,7,6,5,3] => 0101111 => 1
[1,3,8,2,7,6,4,5] => 0010110 => 2
[1,8,3,2,7,5,4,6] => 0110110 => 2
[8,1,3,2,6,5,4,7] => 1010110 => 3
[8,2,3,1,6,5,4,7] => 1010110 => 3
[2,8,3,1,7,5,4,6] => 0110110 => 2
[2,3,8,1,7,6,4,5] => 0010110 => 2
[3,4,1,8,7,6,5,2] => 0101111 => 1
[4,3,1,8,7,6,5,2] => 1101111 => 1
[4,2,1,8,7,6,5,3] => 1101111 => 1
[3,8,2,1,7,5,4,6] => 0110110 => 2
[8,3,2,1,6,5,4,7] => 1110110 => 2
[8,4,2,6,1,5,3,7] => 1101010 => 3
[4,2,8,7,1,6,3,5] => 1011010 => 3
[5,2,8,7,1,6,3,4] => 1011010 => 3
[5,2,8,1,7,6,4,3] => 1010111 => 2
[5,3,8,1,7,6,4,2] => 1010111 => 2
[5,3,8,2,7,6,4,1] => 1010111 => 2
[6,8,3,2,7,5,4,1] => 0110111 => 1
[6,8,3,1,7,5,4,2] => 0110111 => 1
[6,8,2,1,7,5,4,3] => 0110111 => 1
[6,8,2,7,1,5,3,4] => 0101010 => 3
[6,8,7,2,1,4,3,5] => 0111010 => 2
[8,5,6,1,2,4,3,7] => 1010010 => 3
[5,8,7,1,2,4,3,6] => 0110010 => 2
[6,8,1,2,7,5,4,3] => 0100111 => 1
[6,8,2,3,7,5,4,1] => 0100111 => 1
[5,2,8,3,7,6,4,1] => 1010111 => 2
[5,1,8,3,7,6,4,2] => 1010111 => 2
[5,1,8,7,2,6,3,4] => 1011010 => 3
[4,1,8,7,2,6,3,5] => 1011010 => 3
[4,8,1,7,2,5,3,6] => 0101010 => 3
[8,4,1,6,2,5,3,7] => 1101010 => 3
[8,3,1,2,6,5,4,7] => 1100110 => 2
[3,8,1,2,7,5,4,6] => 0100110 => 2
[3,1,8,2,7,6,4,5] => 1010110 => 3
[3,1,2,8,7,6,5,4] => 1001111 => 1
[4,1,3,8,7,6,5,2] => 1001111 => 1
[3,1,4,8,7,6,5,2] => 1001111 => 1
[2,1,8,3,7,6,4,5] => 1010110 => 3
[2,8,1,3,7,5,4,6] => 0100110 => 2
[8,2,1,3,6,5,4,7] => 1100110 => 2
[8,1,2,3,6,5,4,7] => 1000110 => 2
[1,8,2,3,7,5,4,6] => 0100110 => 2
[1,2,8,3,7,6,4,5] => 0010110 => 2
[1,4,3,6,8,2,5,7] => 0100100 => 2
[3,1,6,2,5,8,4,7] => 1010010 => 3
[3,5,1,8,2,4,7,6] => 0101001 => 2
[1,4,5,2,8,3,7,6] => 0010101 => 2
[1,4,2,6,5,8,3,7] => 0101010 => 3
[1,5,4,2,6,8,3,7] => 0110010 => 2
[3,1,6,5,8,2,4,7] => 1010100 => 3
[1,6,4,2,5,8,3,7] => 0110010 => 2
[1,5,2,6,4,8,3,7] => 0101010 => 3
[1,2,6,5,4,8,3,7] => 0011010 => 2
[1,2,5,4,7,3,8,6] => 0010101 => 2
[4,1,2,6,3,8,7,5] => 1001011 => 2
[7,1,5,4,2,8,3,6] => 1011010 => 3
[1,4,7,5,2,8,3,6] => 0011010 => 2
[7,1,3,5,2,8,4,6] => 1001010 => 3
[7,2,5,1,8,3,4,6] => 1010100 => 3
[1,4,5,2,8,7,3,6] => 0010110 => 2
[1,6,4,2,8,3,7,5] => 0110101 => 2
[1,4,2,8,3,7,6,5] => 0101011 => 2
[1,2,5,3,8,7,6,4] => 0010111 => 1
[1,2,8,6,5,3,7,4] => 0011101 => 1
[1,5,2,8,6,3,7,4] => 0101101 => 2
[1,6,4,2,8,7,3,5] => 0110110 => 2
[6,2,1,8,7,3,4,5] => 1101100 => 2
[7,6,2,1,8,3,4,5] => 1110100 => 2
[7,3,1,6,2,8,4,5] => 1101010 => 3
[1,7,6,4,2,8,3,5] => 0111010 => 2
[1,7,5,2,6,3,8,4] => 0110101 => 2
[1,6,2,7,5,3,8,4] => 0101101 => 2
[1,2,7,6,5,3,8,4] => 0011101 => 1
[1,2,6,5,3,8,7,4] => 0011011 => 1
[1,5,2,6,3,8,7,4] => 0101011 => 2
[1,5,2,7,6,3,8,4] => 0101101 => 2
[1,6,5,2,7,3,8,4] => 0110101 => 2
[1,5,7,4,2,8,3,6] => 0011010 => 2
[4,1,2,8,6,3,7,5] => 1001101 => 2
[3,1,8,6,2,4,7,5] => 1011001 => 2
[4,3,7,1,8,2,5,6] => 1010100 => 3
[8,3,1,6,2,4,7,5] => 1101001 => 2
[7,1,8,3,2,4,6,5] => 1011001 => 2
[1,8,7,3,2,4,6,5] => 0111001 => 1
[1,4,2,8,7,3,6,5] => 0101101 => 2
[1,7,4,2,8,3,6,5] => 0110101 => 2
[8,1,5,4,2,7,3,6] => 1011010 => 3
[1,4,8,5,2,7,3,6] => 0011010 => 2
[8,5,3,1,7,2,4,6] => 1110100 => 2
[8,6,2,1,7,3,4,5] => 1110100 => 2
[1,8,6,4,2,7,3,5] => 0111010 => 2
[1,8,5,2,6,3,7,4] => 0110101 => 2
[1,5,2,7,3,8,6,4] => 0101011 => 2
[1,2,8,5,3,7,6,4] => 0011011 => 1
[1,2,6,3,8,7,5,4] => 0010111 => 1
[1,2,7,6,3,8,5,4] => 0011011 => 1
[1,6,2,7,3,8,5,4] => 0101011 => 2
[1,7,2,8,5,3,6,4] => 0101101 => 2
[1,7,4,2,8,6,3,5] => 0110110 => 2
[7,1,8,3,2,6,4,5] => 1011010 => 3
[7,2,1,8,6,3,4,5] => 1101100 => 2
[1,8,7,3,2,6,4,5] => 0111010 => 2
[1,4,2,8,7,6,3,5] => 0101110 => 2
[1,2,8,7,5,3,6,4] => 0011101 => 1
[1,2,8,6,3,7,5,4] => 0011011 => 1
[1,2,7,3,8,6,5,4] => 0010111 => 1
[4,1,7,3,6,5,8,2] => 1010101 => 3
[5,1,8,7,6,2,4,3] => 1011101 => 2
[8,1,7,6,3,4,5,2] => 1011001 => 2
[5,7,8,6,2,4,1,3] => 0011010 => 2
[5,7,1,6,2,4,3,8] => 0101010 => 3
[6,4,1,5,2,7,3,8] => 1101010 => 3
[8,1,4,5,3,7,6,2] => 1001011 => 2
[6,1,4,5,3,8,7,2] => 1001011 => 2
[6,1,4,5,3,7,8,2] => 1001001 => 2
[5,1,7,8,6,2,4,3] => 1001101 => 2
[6,1,4,8,3,5,7,2] => 1001001 => 2
[7,1,8,6,3,4,5,2] => 1011001 => 2
[7,1,4,5,3,8,6,2] => 1001011 => 2
[7,1,4,5,3,6,8,2] => 1001001 => 2
[8,1,4,5,3,6,7,2] => 1001001 => 2
[7,4,1,5,2,6,3,8] => 1101010 => 3
[6,3,5,7,2,1,4,8] => 1001100 => 2
[6,3,5,8,2,1,7,4] => 1001101 => 2
[6,3,5,7,2,1,8,4] => 1001101 => 2
[8,4,5,7,3,6,1,2] => 1001010 => 3
[6,4,5,8,3,7,2,1] => 1001011 => 2
[5,8,7,6,2,4,1,3] => 0111010 => 2
[5,4,8,6,3,1,7,2] => 1011101 => 2
[5,4,1,8,2,3,7,6] => 1101001 => 2
[5,8,1,6,2,4,3,7] => 0101010 => 3
[8,4,1,5,2,6,3,7] => 1101010 => 3
[6,3,5,8,2,1,4,7] => 1001100 => 2
[2,3,4,1,8,6,5,7] => 0010110 => 2
[8,3,5,6,2,1,4,7] => 1001100 => 2
[2,3,8,5,1,4,7,6] => 0011001 => 1
[2,3,8,6,1,5,7,4] => 0011001 => 1
[2,8,6,7,1,3,5,4] => 0101001 => 2
[8,3,5,7,2,1,6,4] => 1001101 => 2
[2,3,8,5,6,1,7,4] => 0010101 => 2
[7,4,5,6,3,1,8,2] => 1001101 => 2
[8,4,5,6,3,1,7,2] => 1001101 => 2
[7,3,5,6,2,8,1,4] => 1001010 => 3
[7,3,5,8,2,1,6,4] => 1001101 => 2
[7,3,5,6,2,1,4,8] => 1001100 => 2
[2,7,6,5,1,3,4,8] => 0111000 => 1
[2,7,6,8,1,3,5,4] => 0101001 => 2
[2,7,6,5,8,3,1,4] => 0110110 => 2
[8,7,5,6,1,4,2,3] => 1101010 => 3
[2,6,4,1,8,5,7,3] => 0110101 => 2
[2,6,1,3,8,5,7,4] => 0100101 => 2
[2,7,1,3,6,5,8,4] => 0100101 => 2
[2,7,6,8,4,3,1,5] => 0101110 => 2
[2,7,6,1,8,3,4,5] => 0110100 => 2
[2,7,6,1,4,3,5,8] => 0110100 => 2
[7,3,5,1,2,8,4,6] => 1010010 => 3
[8,4,1,5,2,3,7,6] => 1101001 => 2
[7,8,1,6,3,4,2,5] => 0101010 => 3
[6,4,1,8,3,2,7,5] => 1101101 => 2
[2,3,8,6,4,1,7,5] => 0011101 => 1
[2,8,6,7,4,3,1,5] => 0101110 => 2
[8,3,5,7,2,4,1,6] => 1001010 => 3
[2,3,4,1,8,7,5,6] => 0010110 => 2
[2,8,6,1,7,3,4,5] => 0110100 => 2
[2,3,8,1,6,4,7,5] => 0010101 => 2
[2,3,8,1,4,5,7,6] => 0010001 => 1
[2,8,6,1,4,3,5,7] => 0110100 => 2
[1,2,3,4,5,6,7,9,8] => 00000001 => 0
[2,1,3,4,5,6,7,8,9] => 10000000 => 1
[1,2,3,4,5,6,7,8,10,9] => 000000001 => 0
[2,1,3,4,5,6,7,8,9,10] => 100000000 => 1
[1,2,3,4,5,6,7,8,9,11,10] => 0000000001 => 0
[9,1,2,3,4,5,6,7,10,8] => 100000001 => 1
[1,8,2,3,4,5,6,9,7] => 01000001 => 1
[7,1,2,3,4,5,6,9,8] => 10000001 => 1
[2,1,9,3,4,5,6,7,8] => 10100000 => 2
[2,8,1,3,4,5,6,7,9] => 01000000 => 1
[2,10,1,3,4,5,6,7,8,9] => 010000000 => 1
[2,1,3,4,5,6,7,8,9,10,11] => 1000000000 => 1
[8,4,3,6,5,1,7,2] => 1101101 => 2
[8,5,6,3,4,1,7,2] => 1010101 => 3
[8,6,5,4,3,1,7,2] => 1111101 => 1
[1,7,6,5,4,2,3,8] => 0111100 => 1
[1,8,6,5,2,7,3,4] => 0111010 => 2
[8,7,5,4,1,6,3,2] => 1111011 => 1
[7,8,5,4,1,3,6,2] => 0111001 => 1
[6,8,5,4,2,1,7,3] => 0111101 => 1
[5,8,6,2,4,1,7,3] => 0110101 => 2
[4,8,2,6,5,1,7,3] => 0101101 => 2
[3,2,8,6,5,1,7,4] => 1011101 => 2
[3,2,1,7,6,4,5,8] => 1101100 => 2
[4,1,3,7,6,2,5,8] => 1001100 => 2
[5,1,7,3,6,2,4,8] => 1010100 => 3
[6,1,7,5,3,2,4,8] => 1011100 => 2
[7,1,6,5,2,4,3,8] => 1011010 => 3
[8,1,6,5,2,3,7,4] => 1011001 => 2
[1,2,7,6,3,4,5,8] => 0011000 => 1
[1,2,8,3,7,4,5,6] => 0010100 => 2
[8,1,7,2,6,3,5,4] => 1010101 => 3
[7,1,8,2,6,4,3,5] => 1010110 => 3
[6,1,8,2,4,7,3,5] => 1010010 => 3
[5,1,8,3,2,7,4,6] => 1011010 => 3
[4,1,3,8,2,7,5,6] => 1001010 => 3
[3,2,1,8,4,7,5,6] => 1101010 => 3
[3,2,8,7,1,6,5,4] => 1011011 => 2
[4,8,2,7,1,6,5,3] => 0101011 => 2
[5,8,7,2,1,6,4,3] => 0111011 => 1
[6,8,7,1,3,5,4,2] => 0110011 => 1
[7,8,6,1,5,3,4,2] => 0110101 => 2
[8,7,6,1,5,4,3,2] => 1110111 => 1
[1,8,7,2,6,5,3,4] => 0110110 => 2
[1,7,8,2,5,6,3,4] => 0010010 => 2
[8,6,7,1,4,5,3,2] => 1010011 => 2
[7,6,8,1,4,3,5,2] => 1010101 => 3
[6,5,8,3,2,1,7,4] => 1011101 => 2
[7,5,8,3,1,4,6,2] => 1011001 => 2
[8,5,7,3,1,6,4,2] => 1011011 => 2
[1,6,8,4,2,7,3,5] => 0011010 => 2
[1,5,4,8,2,7,3,6] => 0101010 => 3
[8,4,3,7,1,6,5,2] => 1101011 => 2
[7,4,3,8,1,5,6,2] => 1101001 => 2
[6,4,3,1,5,2,7,8] => 1110100 => 2
[7,4,3,1,2,6,5,8] => 1110010 => 2
[8,4,3,1,2,5,7,6] => 1110001 => 1
[1,5,4,2,3,6,7,8] => 0110000 => 1
[8,5,1,4,2,3,7,6] => 1101001 => 2
[7,5,1,4,2,6,3,8] => 1101010 => 3
[6,5,1,4,3,2,7,8] => 1101100 => 2
[5,6,1,3,4,2,7,8] => 0100100 => 2
[4,6,2,1,5,3,7,8] => 0110100 => 2
[3,2,6,1,5,4,7,8] => 1010100 => 3
[3,2,7,1,4,6,5,8] => 1010010 => 3
[4,7,2,1,3,6,5,8] => 0110010 => 2
[5,7,1,3,2,6,4,8] => 0101010 => 3
[6,7,1,2,4,5,3,8] => 0100010 => 2
[7,6,1,2,5,4,3,8] => 1100110 => 2
[8,6,1,2,5,3,7,4] => 1100101 => 2
[1,7,2,3,6,4,5,8] => 0100100 => 2
[8,7,1,2,3,6,5,4] => 1100011 => 1
[7,8,1,2,3,5,6,4] => 0100001 => 1
[6,8,1,2,4,3,7,5] => 0100101 => 2
[5,8,1,3,2,4,7,6] => 0101001 => 2
[4,8,2,1,3,5,7,6] => 0110001 => 1
[3,2,8,1,4,5,7,6] => 1010001 => 2
[4,1,3,2,5,6,7,8] => 1010000 => 2
[5,1,2,4,3,6,7,8] => 1001000 => 2
[6,1,2,3,5,4,7,8] => 1000100 => 2
[7,1,2,3,4,6,5,8] => 1000010 => 2
[8,1,2,3,4,5,7,6] => 1000001 => 1
[6,7,3,8,5,1,2,4] => 0101100 => 2
[6,7,4,5,1,8,3,2] => 0101011 => 2
[5,4,7,6,8,1,2,3] => 1010100 => 3
[5,3,7,8,6,1,2,4] => 1001100 => 2
[3,8,4,5,7,1,2,6] => 0100100 => 2
[3,4,8,6,7,1,2,5] => 0010100 => 2
[4,5,6,7,1,8,3,2] => 0001011 => 1
[3,5,6,2,7,4,8,1] => 0010101 => 2
[3,5,6,1,7,8,4,2] => 0010011 => 1
[2,5,6,1,8,7,4,3] => 0010111 => 1
[2,5,6,8,1,7,3,4] => 0001010 => 2
[8,2,4,5,1,6,3,7] => 1001010 => 3
[1,4,8,6,2,3,7,5] => 0011001 => 1
[1,5,6,8,2,3,7,4] => 0001001 => 1
[1,5,6,2,8,4,7,3] => 0010101 => 2
[2,5,6,3,4,7,8,1] => 0010001 => 1
[1,4,2,6,8,5,7,3] => 0100101 => 2
[8,1,3,2,5,4,6,7] => 1010100 => 3
[8,2,3,1,5,6,4,7] => 1010010 => 3
[2,8,3,1,5,7,4,6] => 0110010 => 2
[2,4,1,6,8,7,5,3] => 0100111 => 1
[3,4,1,6,7,8,5,2] => 0100011 => 1
[4,3,1,7,6,8,5,2] => 1101011 => 2
[5,2,7,8,1,6,3,4] => 1001010 => 3
[5,3,7,2,6,4,8,1] => 1010101 => 3
[6,7,3,1,5,8,4,2] => 0110011 => 1
[6,7,2,1,8,5,4,3] => 0110111 => 1
[6,7,2,8,1,5,3,4] => 0101010 => 3
[6,7,8,2,1,4,3,5] => 0011010 => 2
[6,7,1,2,8,4,5,3] => 0100101 => 2
[6,7,1,3,4,8,5,2] => 0100011 => 1
[5,2,7,3,4,6,8,1] => 1010001 => 2
[5,1,7,3,4,8,6,2] => 1010011 => 2
[5,1,7,8,2,3,6,4] => 1001001 => 2
[4,1,8,7,2,3,6,5] => 1011001 => 2
[3,8,1,2,7,4,5,6] => 0100100 => 2
[4,1,3,7,5,8,6,2] => 1001011 => 2
[3,1,4,5,7,8,6,2] => 1000011 => 1
[2,1,8,3,4,7,6,5] => 1010011 => 2
[8,2,1,3,4,6,5,7] => 1100010 => 2
[1,8,2,3,4,5,7,6] => 0100001 => 1
[1,2,8,3,4,6,7,5] => 0010001 => 1
[4,2,1,6,5,8,7,3] => 1101011 => 2
[5,2,6,1,4,8,7,3] => 1010011 => 2
[5,2,6,4,1,8,7,3] => 1011011 => 2
[5,2,7,4,8,1,6,3] => 1010101 => 3
[5,2,7,4,8,6,1,3] => 1010110 => 3
[5,7,2,3,8,6,1,4] => 0100110 => 2
[5,7,2,3,8,1,6,4] => 0100101 => 2
[5,6,2,3,1,8,7,4] => 0101011 => 2
[5,6,2,1,3,8,7,4] => 0110011 => 1
[5,1,6,4,2,8,7,3] => 1011011 => 2
[5,6,1,3,2,8,7,4] => 0101011 => 2
[5,6,3,1,2,8,7,4] => 0110011 => 1
[5,6,3,2,1,8,7,4] => 0111011 => 1
[5,7,3,2,8,1,6,4] => 0110101 => 2
[5,7,3,2,8,6,1,4] => 0110110 => 2
[6,7,3,8,2,1,5,4] => 0101101 => 2
[6,7,3,8,1,2,5,4] => 0101001 => 2
[5,7,3,1,8,2,6,4] => 0110101 => 2
[5,7,1,3,8,2,6,4] => 0100101 => 2
[5,1,7,4,8,2,6,3] => 1010101 => 3
[1,5,7,4,8,3,6,2] => 0010101 => 2
[1,5,7,4,8,6,3,2] => 0010111 => 1
[5,1,7,4,8,6,2,3] => 1010110 => 3
[5,7,1,3,8,6,2,4] => 0100110 => 2
[5,7,3,1,8,6,2,4] => 0110110 => 2
[6,7,3,8,1,5,2,4] => 0101010 => 3
[6,7,3,8,5,2,1,4] => 0101110 => 2
[6,7,8,3,1,4,2,5] => 0011010 => 2
[6,7,1,8,3,5,2,4] => 0101010 => 3
[6,1,7,8,4,5,2,3] => 1001010 => 3
[1,6,7,8,4,5,3,2] => 0001011 => 1
[1,6,7,8,4,3,5,2] => 0001101 => 1
[6,1,7,8,4,2,5,3] => 1001101 => 2
[6,7,1,8,3,2,5,4] => 0101101 => 2
[5,7,2,1,8,3,6,4] => 0110101 => 2
[6,7,2,8,1,3,5,4] => 0101001 => 2
[6,7,2,8,3,1,5,4] => 0101101 => 2
[6,7,2,8,3,5,1,4] => 0101010 => 3
[6,2,7,8,4,5,1,3] => 1001010 => 3
[6,2,7,8,4,1,5,3] => 1001101 => 2
[6,2,7,8,1,4,5,3] => 1001001 => 2
[5,2,7,1,8,4,6,3] => 1010101 => 3
[4,2,1,7,8,5,6,3] => 1100101 => 2
[4,1,2,7,8,6,5,3] => 1000111 => 1
[6,2,7,8,1,5,4,3] => 1001011 => 2
[6,2,7,8,5,1,4,3] => 1001101 => 2
[6,2,7,8,5,4,1,3] => 1001110 => 2
[6,7,2,8,5,3,1,4] => 0101110 => 2
[5,7,2,1,8,6,3,4] => 0110110 => 2
[5,7,1,2,8,6,3,4] => 0100110 => 2
[5,1,7,2,8,6,4,3] => 1010111 => 2
[1,5,7,3,8,6,4,2] => 0010111 => 1
[1,6,7,8,3,5,4,2] => 0001011 => 1
[6,1,7,8,2,5,4,3] => 1001011 => 2
[6,7,1,8,2,5,3,4] => 0101010 => 3
[6,7,8,2,4,1,3,5] => 0010100 => 2
[6,7,8,2,4,3,1,5] => 0010110 => 2
[6,7,1,8,5,2,3,4] => 0101100 => 2
[6,1,7,8,5,2,4,3] => 1001101 => 2
[1,6,7,8,5,3,4,2] => 0001101 => 1
[6,1,7,8,5,4,2,3] => 1001110 => 2
[6,7,1,8,5,3,2,4] => 0101110 => 2
[6,7,8,4,1,3,2,5] => 0011010 => 2
[6,3,8,5,2,7,4,1] => 1011011 => 2
[6,5,2,8,4,7,3,1] => 1101011 => 2
[6,3,4,5,8,7,2,1] => 1000111 => 1
[3,8,4,7,5,2,1,6] => 0101110 => 2
[5,8,1,4,7,2,3,6] => 0100100 => 2
[5,6,1,4,8,7,3,2] => 0100111 => 1
[3,6,4,8,5,7,1,2] => 0101010 => 3
[5,1,4,8,6,3,7,2] => 1001101 => 2
[3,4,7,1,8,6,5,2] => 0010111 => 1
[6,3,8,4,2,7,1,5] => 1011010 => 3
[3,6,8,7,1,4,2,5] => 0011010 => 2
[5,3,7,1,6,8,2,4] => 1010010 => 3
[4,3,8,5,6,7,2,1] => 1010011 => 2
[5,8,1,7,6,2,4,3] => 0101101 => 2
[4,6,1,2,7,8,5,3] => 0100011 => 1
[3,6,4,2,8,7,5,1] => 0110111 => 1
[6,3,7,5,2,8,1,4] => 1011010 => 3
[6,5,2,7,4,8,1,3] => 1101010 => 3
[5,7,1,4,8,3,2,6] => 0100110 => 2
[7,8,3,5,1,4,6,2] => 0101001 => 2
[5,8,1,4,6,7,2,3] => 0100010 => 2
[6,5,8,4,3,7,2,1] => 1011011 => 2
[6,3,7,4,2,8,5,1] => 1011011 => 2
[8,7,1,6,2,4,5,3] => 1101001 => 2
[3,8,6,7,1,4,5,2] => 0101001 => 2
[5,3,8,7,4,1,2,6] => 1011100 => 2
[4,3,8,7,1,5,6,2] => 1011001 => 2
[8,3,6,1,2,5,7,4] => 1010001 => 2
[5,6,1,8,7,3,2,4] => 0101110 => 2
[5,4,2,7,3,6,8,1] => 1101001 => 2
[7,5,3,6,4,2,8,1] => 1101101 => 2
[6,4,1,5,3,8,2,7] => 1101010 => 3
[8,2,6,3,4,7,5,1] => 1010011 => 2
[7,2,6,3,5,4,8,1] => 1010101 => 3
[6,2,7,4,3,5,8,1] => 1011001 => 2
[3,7,6,4,5,2,8,1] => 0110101 => 2
[2,7,6,5,3,4,8,1] => 0111001 => 1
[6,5,4,3,1,8,2,7] => 1111010 => 2
[8,6,5,4,2,7,3,1] => 1111011 => 1
[8,5,4,1,7,2,6,3] => 1110101 => 2
[7,5,4,1,8,3,2,6] => 1110110 => 2
[1,6,5,2,8,3,4,7] => 0110100 => 2
[1,6,5,3,4,8,2,7] => 0110010 => 2
[5,4,6,3,1,8,2,7] => 1011010 => 3
[6,5,8,4,2,7,3,1] => 1011011 => 2
[5,8,2,6,4,7,3,1] => 0101011 => 2
[7,8,5,3,2,6,4,1] => 0111011 => 1
[6,8,3,1,7,2,5,4] => 0110101 => 2
[1,8,6,3,7,5,2,4] => 0110110 => 2
[8,7,5,2,6,4,3,1] => 1110111 => 1
[8,7,1,6,2,5,4,3] => 1101011 => 2
[2,8,1,7,3,5,6,4] => 0101001 => 2
[4,8,1,3,7,2,6,5] => 0100101 => 2
[4,2,8,5,7,3,6,1] => 1010101 => 3
[5,1,7,6,8,3,2,4] => 1010110 => 3
[6,7,3,1,8,4,2,5] => 0110110 => 2
[1,7,3,8,4,5,2,6] => 0101010 => 3
[1,7,2,8,5,3,4,6] => 0101100 => 2
[7,6,1,8,4,3,2,5] => 1101110 => 2
[8,6,1,7,4,2,5,3] => 1101101 => 2
[8,1,2,7,3,4,6,5] => 1001001 => 2
[7,1,2,8,3,5,4,6] => 1001010 => 3
[8,2,6,1,7,3,5,4] => 1010101 => 3
[8,3,1,4,7,5,6,2] => 1100101 => 2
[4,2,1,5,8,3,6,7] => 1100100 => 2
[5,4,3,1,6,8,2,7] => 1110010 => 2
[4,7,5,6,8,3,2,1] => 0100111 => 1
[6,5,4,8,2,7,3,1] => 1101011 => 2
[6,5,1,8,7,4,2,3] => 1101110 => 2
[8,6,4,7,5,3,2,1] => 1101111 => 1
[5,1,8,3,7,6,2,4] => 1010110 => 3
[5,4,8,1,7,2,6,3] => 1010101 => 3
[3,6,8,2,4,7,5,1] => 0010011 => 1
[5,7,3,8,2,6,4,1] => 0101011 => 2
[4,7,2,8,6,3,5,1] => 0101101 => 2
[2,3,8,7,4,5,6,1] => 0011001 => 1
[7,2,8,6,4,3,5,1] => 1011101 => 2
[2,1,8,7,5,6,3,4] => 1011010 => 3
[8,2,7,6,3,5,4,1] => 1011011 => 2
[8,1,7,6,5,2,4,3] => 1011101 => 2
[7,1,8,6,5,3,2,4] => 1011110 => 2
[1,2,8,7,6,3,4,5] => 0011100 => 1
[1,3,8,7,4,6,2,5] => 0011010 => 2
[5,1,6,8,7,4,2,3] => 1001110 => 2
[6,8,4,7,5,3,2,1] => 0101111 => 1
[6,8,7,2,5,4,3,1] => 0110111 => 1
[3,8,7,6,4,5,2,1] => 0111011 => 1
[2,8,7,6,5,3,4,1] => 0111101 => 1
[1,8,7,6,5,4,2,3] => 0111110 => 1
[5,8,6,7,3,4,1,2] => 0101010 => 3
[4,8,6,7,3,5,1,2] => 0101010 => 3
[3,8,6,7,4,5,1,2] => 0101010 => 3
[2,8,6,7,4,5,1,3] => 0101010 => 3
[1,8,6,7,4,5,2,3] => 0101010 => 3
[1,8,5,7,4,6,2,3] => 0101010 => 3
[3,8,5,7,4,6,1,2] => 0101010 => 3
[4,8,5,7,3,6,1,2] => 0101010 => 3
[7,8,3,6,4,5,1,2] => 0101010 => 3
[6,8,3,7,4,5,1,2] => 0101010 => 3
[5,8,3,7,4,6,1,2] => 0101010 => 3
[3,7,4,8,5,6,1,2] => 0101010 => 3
[4,7,3,8,5,6,1,2] => 0101010 => 3
[4,7,2,8,5,6,1,3] => 0101010 => 3
[4,7,1,8,5,6,2,3] => 0101010 => 3
[3,7,1,8,5,6,2,4] => 0101010 => 3
[3,7,2,8,5,6,1,4] => 0101010 => 3
[2,7,3,8,5,6,1,4] => 0101010 => 3
[2,7,4,8,5,6,1,3] => 0101010 => 3
[5,8,2,7,4,6,1,3] => 0101010 => 3
[6,8,2,7,4,5,1,3] => 0101010 => 3
[7,8,2,6,4,5,1,3] => 0101010 => 3
[7,8,1,6,4,5,2,3] => 0101010 => 3
[6,8,1,7,4,5,2,3] => 0101010 => 3
[5,8,1,7,4,6,2,3] => 0101010 => 3
[1,7,4,8,5,6,2,3] => 0101010 => 3
[1,7,3,8,5,6,2,4] => 0101010 => 3
[2,8,5,6,1,7,3,4] => 0101010 => 3
[1,8,5,6,2,7,3,4] => 0101010 => 3
[1,7,3,8,4,6,2,5] => 0101010 => 3
[4,8,1,7,3,6,2,5] => 0101010 => 3
[5,8,1,7,3,6,2,4] => 0101010 => 3
[6,8,1,7,3,5,2,4] => 0101010 => 3
[7,8,2,6,3,5,1,4] => 0101010 => 3
[6,8,2,7,3,5,1,4] => 0101010 => 3
[5,8,2,7,3,6,1,4] => 0101010 => 3
[4,8,2,7,3,6,1,5] => 0101010 => 3
[2,7,3,8,4,6,1,5] => 0101010 => 3
[3,7,2,8,4,6,1,5] => 0101010 => 3
[3,7,1,8,4,6,2,5] => 0101010 => 3
[1,8,4,7,3,6,2,5] => 0101010 => 3
[2,8,4,7,3,6,1,5] => 0101010 => 3
[3,8,4,7,2,6,1,5] => 0101010 => 3
[4,8,5,7,2,6,1,3] => 0101010 => 3
[3,8,5,7,2,6,1,4] => 0101010 => 3
[2,8,5,7,3,6,1,4] => 0101010 => 3
[1,8,5,7,3,6,2,4] => 0101010 => 3
[1,8,6,7,3,5,2,4] => 0101010 => 3
[2,8,6,7,3,5,1,4] => 0101010 => 3
[3,8,6,7,2,5,1,4] => 0101010 => 3
[4,8,6,7,2,5,1,3] => 0101010 => 3
[5,8,6,7,2,4,1,3] => 0101010 => 3
[6,8,5,7,1,4,2,3] => 0101010 => 3
[5,8,6,7,1,4,2,3] => 0101010 => 3
[4,8,6,7,1,5,2,3] => 0101010 => 3
[3,8,6,7,1,5,2,4] => 0101010 => 3
[1,5,2,8,6,7,3,4] => 0101010 => 3
[2,5,1,8,6,7,3,4] => 0101010 => 3
[2,6,1,8,5,7,3,4] => 0101010 => 3
[1,6,2,8,5,7,3,4] => 0101010 => 3
[3,8,5,7,1,6,2,4] => 0101010 => 3
[6,8,4,7,1,5,2,3] => 0101010 => 3
[7,8,4,6,1,5,2,3] => 0101010 => 3
[7,8,3,6,1,5,2,4] => 0101010 => 3
[6,8,3,7,1,5,2,4] => 0101010 => 3
[4,8,3,7,1,6,2,5] => 0101010 => 3
[3,8,4,7,1,6,2,5] => 0101010 => 3
[1,6,2,8,4,7,3,5] => 0101010 => 3
[2,6,1,8,4,7,3,5] => 0101010 => 3
[3,7,2,6,1,8,4,5] => 0101010 => 3
[3,7,1,6,2,8,4,5] => 0101010 => 3
[4,8,1,6,2,7,3,5] => 0101010 => 3
[5,8,1,6,2,7,3,4] => 0101010 => 3
[7,8,1,5,2,6,3,4] => 0101010 => 3
[7,8,2,5,1,6,3,4] => 0101010 => 3
[6,8,2,5,1,7,3,4] => 0101010 => 3
[5,8,2,6,1,7,3,4] => 0101010 => 3
[4,8,2,6,1,7,3,5] => 0101010 => 3
[1,7,3,6,2,8,4,5] => 0101010 => 3
[2,7,3,6,1,8,4,5] => 0101010 => 3
[1,2,3,4,5,6,7,8,9] => 00000000 => 0
[1,2,3,4,5,6,8,9,7] => 00000001 => 0
[1,2,3,4,5,7,8,9,6] => 00000001 => 0
[1,2,3,4,6,7,8,9,5] => 00000001 => 0
[1,2,3,5,6,7,8,9,4] => 00000001 => 0
[1,2,4,5,6,7,8,9,3] => 00000001 => 0
[1,3,4,5,6,7,8,9,2] => 00000001 => 0
[1,2,3,4,5,6,7,8,9,10] => 000000000 => 0
[1,2,3,4,5,6,9,8,7] => 00000011 => 0
[1,2,3,4,5,6,7,9,10,8] => 000000001 => 0
[1,2,3,4,5,8,7,9,6] => 00000101 => 1
[1,2,3,4,5,6,8,9,10,7] => 000000001 => 0
[1,2,3,4,7,6,8,9,5] => 00001001 => 1
[1,2,3,4,5,7,8,9,10,6] => 000000001 => 0
[1,2,3,6,5,7,8,9,4] => 00010001 => 1
[1,2,3,4,6,7,8,9,10,5] => 000000001 => 0
[1,2,5,4,6,7,8,9,3] => 00100001 => 1
[1,2,3,5,6,7,8,9,10,4] => 000000001 => 0
[1,4,3,5,6,7,8,9,2] => 01000001 => 1
[1,2,4,5,6,7,8,9,10,3] => 000000001 => 0
[3,2,4,5,6,7,8,9,1] => 10000001 => 1
[1,3,4,5,6,7,8,9,10,2] => 000000001 => 0
[6,7,4,8,3,5,1,2] => 0101010 => 3
[6,7,4,5,2,8,1,3] => 0101010 => 3
[5,7,4,6,2,3,1,8] => 0101010 => 3
[5,7,4,6,3,8,1,2] => 0101010 => 3
[5,7,4,8,3,6,1,2] => 0101010 => 3
[6,8,4,5,3,7,1,2] => 0101010 => 3
[5,8,4,6,3,7,1,2] => 0101010 => 3
[5,6,4,8,3,7,1,2] => 0101010 => 3
[5,6,3,7,2,4,1,8] => 0101010 => 3
[5,6,3,7,2,8,1,4] => 0101010 => 3
[5,6,3,8,2,7,1,4] => 0101010 => 3
[5,6,4,8,2,7,1,3] => 0101010 => 3
[5,8,4,6,2,7,1,3] => 0101010 => 3
[6,8,4,5,2,7,1,3] => 0101010 => 3
[7,8,4,5,2,6,1,3] => 0101010 => 3
[6,8,4,5,2,3,1,7] => 0101010 => 3
[5,8,4,6,2,3,1,7] => 0101010 => 3
[5,6,4,8,2,3,1,7] => 0101010 => 3
[5,6,3,8,2,4,1,7] => 0101010 => 3
[5,6,3,4,2,8,1,7] => 0101010 => 3
[4,6,3,5,2,7,1,8] => 0101010 => 3
[4,6,3,5,2,8,1,7] => 0101010 => 3
[4,6,3,8,2,5,1,7] => 0101010 => 3
[4,8,3,6,2,5,1,7] => 0101010 => 3
[5,8,3,6,2,4,1,7] => 0101010 => 3
[6,8,3,5,2,4,1,7] => 0101010 => 3
[7,8,3,5,2,4,1,6] => 0101010 => 3
[7,8,3,5,2,6,1,4] => 0101010 => 3
[5,8,3,6,2,7,1,4] => 0101010 => 3
[4,8,3,6,2,7,1,5] => 0101010 => 3
[4,6,3,8,2,7,1,5] => 0101010 => 3
[4,6,3,7,2,8,1,5] => 0101010 => 3
[4,7,3,6,2,5,1,8] => 0101010 => 3
[4,7,3,6,2,8,1,5] => 0101010 => 3
[4,7,3,8,2,6,1,5] => 0101010 => 3
[5,7,4,8,2,6,1,3] => 0101010 => 3
[5,7,3,6,2,8,1,4] => 0101010 => 3
[5,7,3,6,2,4,1,8] => 0101010 => 3
[6,7,3,5,2,4,1,8] => 0101010 => 3
[6,7,3,5,2,8,1,4] => 0101010 => 3
[6,7,4,8,2,5,1,3] => 0101010 => 3
[6,7,5,8,2,4,1,3] => 0101010 => 3
[6,8,5,7,2,3,1,4] => 0101010 => 3
[6,7,4,8,2,3,1,5] => 0101010 => 3
[6,7,3,8,2,4,1,5] => 0101010 => 3
[6,7,3,4,2,8,1,5] => 0101010 => 3
[5,7,3,4,2,6,1,8] => 0101010 => 3
[5,7,3,4,2,8,1,6] => 0101010 => 3
[5,7,4,8,2,3,1,6] => 0101010 => 3
[5,8,4,7,2,3,1,6] => 0101010 => 3
[6,8,4,7,2,3,1,5] => 0101010 => 3
[7,8,4,6,2,3,1,5] => 0101010 => 3
[7,8,3,6,2,4,1,5] => 0101010 => 3
[6,8,3,7,2,4,1,5] => 0101010 => 3
[5,8,3,7,2,4,1,6] => 0101010 => 3
[4,8,3,7,2,5,1,6] => 0101010 => 3
[4,7,3,8,2,5,1,6] => 0101010 => 3
[4,7,3,5,2,8,1,6] => 0101010 => 3
[4,7,3,5,2,6,1,8] => 0101010 => 3
[4,5,3,7,2,6,1,8] => 0101010 => 3
[4,5,3,7,2,8,1,6] => 0101010 => 3
[4,5,3,8,2,7,1,6] => 0101010 => 3
[4,8,3,5,2,7,1,6] => 0101010 => 3
[5,8,3,4,2,7,1,6] => 0101010 => 3
[6,8,3,4,2,7,1,5] => 0101010 => 3
[7,8,3,4,2,6,1,5] => 0101010 => 3
[6,8,3,4,2,5,1,7] => 0101010 => 3
[5,8,3,4,2,6,1,7] => 0101010 => 3
[4,8,3,5,2,6,1,7] => 0101010 => 3
[4,5,3,8,2,6,1,7] => 0101010 => 3
[4,5,3,6,2,8,1,7] => 0101010 => 3
[4,7,5,2,1,8,3,6] => 0111010 => 2
[4,8,5,2,1,7,6,3] => 0111011 => 1
[4,6,5,2,1,3,8,7] => 0111001 => 1
[5,6,4,2,3,1,8,7] => 0110101 => 2
[6,4,5,3,1,2,8,7] => 1011001 => 2
[5,4,6,1,3,2,8,7] => 1010101 => 3
[4,6,8,1,7,3,2,5] => 0010110 => 2
[4,7,8,1,6,3,5,2] => 0010101 => 2
[7,4,8,1,6,5,3,2] => 1010111 => 2
[5,4,8,1,3,7,6,2] => 1010011 => 2
[8,4,5,3,1,7,6,2] => 1011011 => 2
[5,4,7,1,3,8,2,6] => 1010010 => 3
[6,4,8,1,7,5,2,3] => 1010110 => 3
[5,6,8,7,2,1,3,4] => 0011100 => 1
[8,5,7,6,4,2,1,3] => 1011110 => 2
[8,4,6,3,7,2,1,5] => 1010110 => 3
[6,3,2,8,7,4,1,5] => 1101110 => 2
[2,1,6,8,7,4,3,5] => 1001110 => 2
[2,1,7,8,6,4,5,3] => 1001101 => 2
[7,3,2,8,6,4,5,1] => 1101101 => 2
[7,6,8,5,2,4,3,1] => 1011011 => 2
[5,7,8,6,2,3,1,4] => 0011010 => 2
[5,8,7,6,3,2,1,4] => 0111110 => 1
[6,8,7,5,3,2,4,1] => 0111101 => 1
[5,8,4,2,3,7,6,1] => 0110011 => 1
[7,8,4,2,6,5,3,1] => 0110111 => 1
[4,8,7,2,6,3,5,1] => 0110101 => 2
[4,8,6,2,7,3,1,5] => 0110110 => 2
[3,6,1,8,7,4,2,5] => 0101110 => 2
[3,7,1,8,6,4,5,2] => 0101101 => 2
[3,8,1,6,7,5,2,4] => 0100110 => 2
[3,7,1,6,8,2,5,4] => 0100101 => 2
[4,7,6,2,8,1,3,5] => 0110100 => 2
[6,7,4,2,8,1,5,3] => 0110101 => 2
[6,8,4,2,7,5,1,3] => 0110110 => 2
[2,1,8,6,7,5,3,4] => 1010110 => 3
[8,3,2,6,7,5,1,4] => 1100110 => 2
[8,6,4,3,7,5,1,2] => 1110110 => 2
[5,8,6,7,3,1,2,4] => 0101100 => 2
[6,7,5,8,1,3,4,2] => 0101001 => 2
[7,6,5,8,1,4,3,2] => 1101011 => 2
[8,6,5,7,4,1,3,2] => 1101101 => 2
[7,6,4,3,8,1,5,2] => 1110101 => 2
[7,3,2,6,8,1,5,4] => 1100101 => 2
[2,1,7,6,8,3,5,4] => 1010101 => 3
[7,5,6,8,1,4,2,3] => 1001010 => 3
[6,5,7,8,1,2,4,3] => 1001001 => 2
[8,1,3,7,4,6,5,2] => 1001011 => 2
[5,2,8,7,4,6,1,3] => 1011010 => 3
[1,6,2,5,4,7,3,8] => 0101010 => 3
[6,2,7,5,4,8,3,1] => 1011011 => 2
[8,1,3,5,4,7,6,2] => 1001011 => 2
[6,1,5,4,3,8,7,2] => 1011011 => 2
[6,1,8,3,4,5,7,2] => 1010001 => 2
[7,1,5,3,4,8,6,2] => 1010011 => 2
[7,1,4,3,5,6,8,2] => 1010001 => 2
[8,1,3,4,5,6,7,2] => 1000001 => 1
[1,7,2,4,5,6,3,8] => 0100010 => 2
[6,3,2,7,5,1,8,4] => 1101101 => 2
[8,4,7,2,5,6,1,3] => 1010010 => 3
[6,5,8,2,4,7,3,1] => 1010011 => 2
[8,5,2,1,4,3,7,6] => 1110101 => 2
[6,5,2,8,4,1,3,7] => 1101100 => 2
[5,6,2,1,4,8,3,7] => 0110010 => 2
[3,6,1,8,5,2,4,7] => 0101100 => 2
[1,2,6,3,5,4,7,8] => 0010100 => 2
[3,4,1,2,8,6,5,7] => 0100110 => 2
[4,3,1,2,6,8,5,7] => 1100010 => 2
[5,8,1,6,3,2,4,7] => 0101100 => 2
[6,3,8,5,2,1,4,7] => 1011100 => 2
[8,3,1,5,2,4,7,6] => 1101001 => 2
[3,8,2,6,1,5,7,4] => 0101001 => 2
[3,8,6,7,2,1,5,4] => 0101101 => 2
[8,5,6,4,2,1,7,3] => 1011101 => 2
[7,2,5,8,3,1,6,4] => 1001101 => 2
[1,7,5,6,3,2,4,8] => 0101100 => 2
[6,1,2,3,8,5,7,4] => 1000101 => 2
[7,1,2,3,6,5,8,4] => 1000101 => 2
[7,2,1,3,8,6,4,5] => 1100110 => 2
[1,5,7,3,2,4,6,8] => 0011000 => 1
[5,2,7,3,1,8,4,6] => 1011010 => 3
[5,8,2,4,1,3,7,6] => 0101001 => 2
[8,7,2,6,3,4,1,5] => 1101010 => 3
[4,8,1,6,3,2,7,5] => 0101101 => 2
[3,1,8,6,4,2,7,5] => 1011101 => 2
[8,1,6,7,4,3,2,5] => 1001110 => 2
[3,5,8,7,2,4,1,6] => 0011010 => 2
[4,2,1,3,7,8,5,6] => 1100010 => 2
[2,4,1,3,8,7,5,6] => 0100110 => 2
[2,5,8,3,1,7,4,6] => 0011010 => 2
[8,6,1,3,7,2,4,5] => 1100100 => 2
[2,8,1,3,6,4,7,5] => 0100101 => 2
[6,8,2,3,4,1,5,7] => 0100100 => 2
[5,1,8,3,2,4,6,7] => 1011000 => 2
[9,8,7,6,5,4,3,2,1] => 11111111 => 0
[8,9,7,6,5,4,3,2,1] => 01111111 => 0
[8,7,9,6,5,4,3,2,1] => 10111111 => 1
[8,7,6,9,5,4,3,2,1] => 11011111 => 1
[8,7,6,5,9,4,3,2,1] => 11101111 => 1
[8,7,6,5,4,9,3,2,1] => 11110111 => 1
[8,7,6,5,4,3,9,2,1] => 11111011 => 1
[8,7,6,5,4,3,2,9,1] => 11111101 => 1
[8,7,6,5,4,3,2,1,9] => 11111110 => 1
[9,10,8,7,6,5,4,3,2,1] => 011111111 => 0
[7,8,9,6,5,4,3,2,1] => 00111111 => 0
[9,8,10,7,6,5,4,3,2,1] => 101111111 => 1
[8,6,7,9,5,4,3,2,1] => 10011111 => 1
[9,8,7,10,6,5,4,3,2,1] => 110111111 => 1
[8,7,5,6,9,4,3,2,1] => 11001111 => 1
[9,8,7,6,10,5,4,3,2,1] => 111011111 => 1
[8,7,6,4,5,9,3,2,1] => 11100111 => 1
[9,8,7,6,5,10,4,3,2,1] => 111101111 => 1
[8,7,6,5,3,4,9,2,1] => 11110011 => 1
[9,8,7,6,5,4,10,3,2,1] => 111110111 => 1
[8,7,6,5,4,2,3,9,1] => 11111001 => 1
[9,8,7,6,5,4,3,10,2,1] => 111111011 => 1
[8,7,6,5,4,3,1,2,9] => 11111100 => 1
[9,8,7,6,5,4,3,2,10,1] => 111111101 => 1
[9,8,7,6,5,4,3,2,1,10] => 111111110 => 1
[1,4,2,7,8,6,3,5] => 0100110 => 2
[1,6,2,4,8,5,3,7] => 0100110 => 2
[1,6,2,4,7,5,3,8] => 0100110 => 2
[1,7,3,8,5,2,4,6] => 0101100 => 2
[1,7,3,2,8,6,4,5] => 0110110 => 2
[4,2,5,7,8,6,1,3] => 1000110 => 2
[7,2,3,1,8,5,6,4] => 1010101 => 3
[8,2,5,1,7,3,4,6] => 1010100 => 3
[6,2,1,8,3,4,7,5] => 1101001 => 2
[6,2,8,3,5,1,7,4] => 1010101 => 3
[6,2,4,8,5,7,1,3] => 1001010 => 3
[1,3,6,4,8,5,7,2] => 0010101 => 2
[1,3,6,4,7,5,8,2] => 0010101 => 2
[6,2,4,7,5,8,1,3] => 1001010 => 3
[6,2,1,3,7,8,4,5] => 1100010 => 2
[7,8,2,1,4,3,5,6] => 0110100 => 2
[7,6,4,2,3,1,8,5] => 1110101 => 2
[5,7,2,3,1,6,8,4] => 0101001 => 2
[7,5,4,2,6,8,1,3] => 1110010 => 2
[1,7,5,3,4,6,8,2] => 0110001 => 1
[8,2,5,4,6,7,1,3] => 1010010 => 3
[5,2,6,3,1,8,7,4] => 1011011 => 2
[8,2,6,4,3,1,7,5] => 1011101 => 2
[8,2,7,4,1,3,5,6] => 1011000 => 2
[1,2,8,4,3,5,6,7] => 0011000 => 1
[1,7,4,2,3,5,6,8] => 0110000 => 1
[6,8,4,1,3,2,5,7] => 0110100 => 2
[1,8,7,4,3,2,5,6] => 0111100 => 1
[1,6,3,8,2,4,7,5] => 0101001 => 2
[5,3,8,1,2,7,4,6] => 1010010 => 3
[5,1,8,3,2,6,4,7] => 1011010 => 3
[5,7,3,1,2,6,4,8] => 0110010 => 2
[1,7,5,4,2,6,3,8] => 0111010 => 2
[1,5,8,2,4,6,3,7] => 0010010 => 2
[1,5,8,4,2,7,3,6] => 0011010 => 2
[1,4,6,2,8,3,7,5] => 0010101 => 2
[5,3,1,6,7,2,4,8] => 1100100 => 2
[5,3,6,1,2,8,4,7] => 1010010 => 3
[1,6,3,2,7,8,4,5] => 0110010 => 2
[1,7,4,5,3,8,6,2] => 0101011 => 2
[6,3,4,1,2,5,8,7] => 1010001 => 2
[6,3,1,4,2,7,5,8] => 1101010 => 3
[1,8,3,2,4,5,6,7] => 0110000 => 1
[8,6,3,2,4,1,7,5] => 1110101 => 2
[8,5,3,2,6,7,1,4] => 1110010 => 2
[4,5,2,6,8,1,7,3] => 0100101 => 2
[4,2,5,6,7,8,1,3] => 1000010 => 2
[5,2,3,6,7,1,8,4] => 1000101 => 2
[6,2,3,4,1,7,8,5] => 1001001 => 2
[7,2,3,1,4,5,8,6] => 1010001 => 2
[8,6,1,4,3,2,5,7] => 1101100 => 2
[8,3,1,6,5,2,4,7] => 1101100 => 2
[3,7,5,1,8,2,4,6] => 0110100 => 2
[4,1,5,2,8,7,3,6] => 1010110 => 3
[8,1,2,4,6,5,3,7] => 1000110 => 2
[8,1,2,5,4,6,3,7] => 1001010 => 3
[8,2,6,5,1,3,4,7] => 1011000 => 2
[8,3,1,6,2,5,4,7] => 1101010 => 3
[8,1,2,6,4,5,3,7] => 1001010 => 3
[8,1,2,5,6,4,3,7] => 1000110 => 2
[8,1,2,6,5,4,3,7] => 1001110 => 2
[1,7,5,4,2,8,3,6] => 0111010 => 2
[5,1,4,8,2,7,3,6] => 1001010 => 3
[1,4,6,8,2,7,3,5] => 0001010 => 2
[1,4,7,6,2,8,3,5] => 0011010 => 2
[5,1,4,7,2,8,3,6] => 1001010 => 3
[1,7,4,5,2,8,3,6] => 0101010 => 3
[3,7,5,1,2,8,4,6] => 0110010 => 2
[5,7,2,8,1,3,4,6] => 0101000 => 2
[5,2,8,7,1,3,4,6] => 1011000 => 2
[4,1,5,8,2,7,3,6] => 1001010 => 3
[1,4,6,2,8,7,3,5] => 0010110 => 2
[1,4,2,8,6,7,3,5] => 0101010 => 3
[3,1,2,6,4,8,7,5] => 1001011 => 2
[2,1,7,6,3,4,8,5] => 1011001 => 2
[3,1,2,7,4,6,8,5] => 1001001 => 2
[1,4,7,2,6,8,3,5] => 0010010 => 2
[1,2,3,6,8,5,7,4] => 0000101 => 1
[5,1,4,2,7,8,3,6] => 1010010 => 3
[1,4,2,7,6,8,3,5] => 0101010 => 3
[1,4,2,6,8,7,3,5] => 0100110 => 2
[3,1,2,8,4,6,7,5] => 1001001 => 2
[3,1,2,7,6,4,8,5] => 1001101 => 2
[5,3,7,1,8,2,4,6] => 1010100 => 3
[1,7,4,3,2,5,8,6] => 0111001 => 1
[4,8,7,2,1,3,5,6] => 0111000 => 1
[1,8,7,3,4,2,5,6] => 0110100 => 2
[3,1,7,8,2,6,4,5] => 1001010 => 3
[1,4,2,7,8,3,6,5] => 0100101 => 2
[5,2,8,1,3,4,7,6] => 1010001 => 2
[2,1,8,6,3,4,7,5] => 1011001 => 2
[1,4,2,6,8,3,7,5] => 0100101 => 2
[1,2,3,7,8,5,6,4] => 0000101 => 1
[1,2,3,7,5,8,6,4] => 0001011 => 1
[1,4,2,7,3,8,6,5] => 0101011 => 2
[3,1,7,2,8,6,4,5] => 1010110 => 3
[2,1,7,8,3,4,6,5] => 1001001 => 2
[1,2,3,8,7,5,6,4] => 0001101 => 1
[10,1,2,3,4,5,6,7,8,9] => 100000000 => 1
[10,1,2,3,4,5,6,9,7,8] => 100000010 => 2
[10,1,2,3,4,5,9,6,7,8] => 100000100 => 2
[9,1,2,3,4,10,5,6,7,8] => 100001000 => 2
[10,1,2,3,9,4,5,6,7,8] => 100010000 => 2
[10,1,2,9,3,4,5,6,7,8] => 100100000 => 2
[9,1,10,2,3,4,5,6,7,8] => 101000000 => 2
[10,9,1,2,3,4,5,6,7,8] => 110000000 => 1
[11,1,2,3,4,5,6,7,8,9,10] => 1000000000 => 1
[8,1,2,3,4,5,6,9,10,7] => 100000001 => 1
[11,1,2,3,4,5,6,7,10,8,9] => 1000000010 => 2
[7,1,2,3,4,5,10,9,6,8] => 100000110 => 2
[11,1,2,3,4,5,6,10,7,8,9] => 1000000100 => 2
[6,1,2,3,4,10,9,5,7,8] => 100001100 => 2
[5,1,2,3,9,10,4,6,7,8] => 100001000 => 2
[4,1,2,10,9,3,5,6,7,8] => 100110000 => 2
[3,1,10,9,2,4,5,6,7,8] => 101100000 => 2
[2,9,10,1,3,4,5,6,7,8] => 001000000 => 1
[4,7,8,5,6,2,1,3] => 0010110 => 2
[5,7,8,4,2,6,1,3] => 0011010 => 2
[6,7,8,4,2,5,1,3] => 0011010 => 2
[8,6,3,7,2,1,5,4] => 1101101 => 2
[7,6,3,8,2,1,5,4] => 1101101 => 2
[6,7,8,3,2,1,5,4] => 0011101 => 1
[5,7,8,3,2,1,6,4] => 0011101 => 1
[2,7,8,4,3,5,6,1] => 0011001 => 1
[3,7,8,4,2,5,1,6] => 0011010 => 2
[4,7,8,3,2,1,5,6] => 0011100 => 1
[5,7,8,3,2,1,4,6] => 0011100 => 1
[7,6,3,8,2,1,4,5] => 1101100 => 2
[8,6,3,7,2,1,4,5] => 1101100 => 2
[5,6,3,8,2,1,4,7] => 0101100 => 2
[3,6,4,8,2,5,1,7] => 0101010 => 3
[2,6,4,8,3,5,7,1] => 0101001 => 2
[2,6,4,7,3,5,8,1] => 0101001 => 2
[3,6,4,7,2,5,1,8] => 0101010 => 3
[4,6,3,7,2,1,5,8] => 0101100 => 2
[5,6,3,7,2,1,4,8] => 0101100 => 2
[8,4,3,2,1,6,5,7] => 1111010 => 2
[6,4,3,2,1,7,5,8] => 1111010 => 2
[4,5,3,2,7,1,6,8] => 0110100 => 2
[3,5,4,2,8,6,1,7] => 0110110 => 2
[6,4,3,2,1,8,5,7] => 1111010 => 2
[7,4,3,2,1,8,5,6] => 1111010 => 2
[8,4,3,2,1,7,5,6] => 1111010 => 2
[8,4,3,2,1,7,6,5] => 1111011 => 1
[7,4,3,2,1,8,6,5] => 1111011 => 1
[6,4,3,2,1,8,7,5] => 1111011 => 1
[5,6,3,8,2,1,7,4] => 0101101 => 2
[7,5,3,2,8,1,6,4] => 1110101 => 2
[8,5,4,2,7,6,1,3] => 1110110 => 2
[7,5,4,2,8,6,1,3] => 1110110 => 2
[6,5,4,2,8,7,1,3] => 1110110 => 2
[4,6,5,8,7,2,1,3] => 0101110 => 2
[2,6,5,7,8,3,4,1] => 0100101 => 2
[6,5,4,2,7,8,1,3] => 1110010 => 2
[8,5,4,2,6,7,1,3] => 1110010 => 2
[8,5,3,2,6,1,7,4] => 1110101 => 2
[7,5,3,2,6,1,8,4] => 1110101 => 2
[5,6,3,7,2,1,8,4] => 0101101 => 2
[4,6,3,7,2,1,8,5] => 0101101 => 2
[3,6,4,7,2,8,1,5] => 0101010 => 3
[2,6,4,7,3,8,5,1] => 0101011 => 2
[3,5,4,2,7,8,1,6] => 0110010 => 2
[4,5,3,2,7,1,8,6] => 0110101 => 2
[7,4,3,2,1,6,8,5] => 1111001 => 1
[8,4,3,2,1,6,7,5] => 1111001 => 1
[8,4,3,2,1,5,7,6] => 1111001 => 1
[7,4,3,2,1,5,8,6] => 1111001 => 1
[6,4,3,2,1,5,8,7] => 1111001 => 1
[3,5,4,2,6,8,1,7] => 0110010 => 2
[5,6,3,4,1,2,8,7] => 0101001 => 2
[8,5,3,7,2,6,4,1] => 1101011 => 2
[8,5,7,4,2,6,3,1] => 1011011 => 2
[7,5,8,4,2,6,1,3] => 1011010 => 3
[2,1,7,8,5,6,3,4] => 1001010 => 3
[6,8,3,7,5,1,4,2] => 0101101 => 2
[5,7,3,8,1,6,2,4] => 0101010 => 3
[3,2,6,4,8,5,1,7] => 1010110 => 3
[3,5,2,4,1,7,6,8] => 0101010 => 3
[4,2,5,8,3,1,6,7] => 1001100 => 2
[3,1,5,4,2,8,6,7] => 1011010 => 3
[4,1,5,8,3,2,6,7] => 1001100 => 2
[4,3,8,5,2,1,6,7] => 1011100 => 2
[4,7,3,5,2,1,6,8] => 0101100 => 2
[4,3,2,7,5,1,6,8] => 1101100 => 2
[4,3,6,2,5,1,7,8] => 1010100 => 3
[4,6,3,2,5,1,7,8] => 0110100 => 2
[4,5,1,7,3,2,6,8] => 0101100 => 2
[5,2,1,4,3,7,8,6] => 1101001 => 2
[4,3,1,5,7,2,6,8] => 1100100 => 2
[4,3,6,1,5,2,7,8] => 1010100 => 3
[4,6,3,1,5,2,7,8] => 0110100 => 2
[5,3,6,4,1,2,7,8] => 1011000 => 2
[4,3,6,1,7,2,5,8] => 1010100 => 3
[6,2,4,1,3,7,8,5] => 1010001 => 2
[3,6,4,1,2,7,5,8] => 0110010 => 2
[4,6,3,1,7,2,5,8] => 0110100 => 2
[5,6,2,7,1,3,4,8] => 0101000 => 2
[4,5,2,7,3,1,6,8] => 0101100 => 2
[4,6,2,1,7,3,5,8] => 0110100 => 2
[3,2,6,1,4,7,5,8] => 1010010 => 3
[3,5,2,7,4,6,1,8] => 0101010 => 3
[3,7,2,4,8,5,1,6] => 0100110 => 2
[7,3,1,4,6,8,2,5] => 1100010 => 2
[3,2,6,1,5,7,4,8] => 1010010 => 3
[6,3,2,1,5,7,4,8] => 1110010 => 2
[6,4,2,1,5,3,7,8] => 1110100 => 2
[4,2,6,1,5,3,7,8] => 1010100 => 3
[4,2,1,7,5,3,6,8] => 1101100 => 2
[7,4,1,5,6,2,3,8] => 1100100 => 2
[7,3,1,5,2,6,4,8] => 1101010 => 3
[6,3,5,1,2,7,4,8] => 1010010 => 3
[5,2,6,4,1,3,7,8] => 1011000 => 2
[3,6,5,1,2,7,4,8] => 0110010 => 2
[6,5,2,1,4,7,8,3] => 1110001 => 1
[6,5,3,1,4,7,2,8] => 1110010 => 2
[2,3,1,8,5,4,7,6] => 0101101 => 2
[2,4,1,5,8,3,7,6] => 0100101 => 2
[2,4,1,5,3,8,7,6] => 0101011 => 2
[3,4,5,1,2,8,7,6] => 0010011 => 1
[3,4,5,1,8,2,7,6] => 0010101 => 2
[1,8,4,5,3,2,7,6] => 0101101 => 2
[2,4,8,5,3,1,7,6] => 0011101 => 1
[3,4,5,8,2,1,7,6] => 0001101 => 1
[3,4,5,2,8,1,7,6] => 0010101 => 2
[3,4,6,2,1,7,8,5] => 0011001 => 1
[3,4,6,2,1,7,5,8] => 0011010 => 2
[3,5,6,2,7,1,4,8] => 0010100 => 2
[3,5,6,2,7,1,8,4] => 0010101 => 2
[3,5,6,2,7,8,1,4] => 0010010 => 2
[3,4,6,2,8,7,1,5] => 0010110 => 2
[3,4,6,8,2,7,1,5] => 0001010 => 2
[2,4,8,6,3,7,1,5] => 0011010 => 2
[1,8,4,6,3,7,2,5] => 0101010 => 3
[1,8,4,6,3,7,5,2] => 0101011 => 2
[3,4,6,8,2,7,5,1] => 0001011 => 1
[3,4,6,2,8,7,5,1] => 0010111 => 1
[3,5,6,2,7,8,4,1] => 0010011 => 1
[3,5,6,2,7,4,1,8] => 0010110 => 2
[4,5,6,7,2,8,3,1] => 0001011 => 1
[3,5,6,8,7,2,4,1] => 0001101 => 1
[2,5,8,6,7,3,4,1] => 0010101 => 2
[1,8,5,6,7,3,4,2] => 0100101 => 2
[1,8,5,6,7,3,2,4] => 0100110 => 2
[2,5,8,6,7,3,1,4] => 0010110 => 2
[3,5,6,8,7,2,1,4] => 0001110 => 1
[4,5,6,7,2,1,8,3] => 0001101 => 1
[3,4,6,1,8,7,2,5] => 0010110 => 2
[2,4,1,6,8,7,3,5] => 0100110 => 2
[2,3,1,8,6,7,4,5] => 0101010 => 3
[1,8,3,2,6,7,5,4] => 0110011 => 1
[2,5,1,6,7,8,4,3] => 0100011 => 1
[2,5,1,6,7,4,8,3] => 0100101 => 2
[2,5,1,6,7,4,3,8] => 0100110 => 2
[3,5,6,1,7,4,2,8] => 0010110 => 2
[3,5,6,1,7,4,8,2] => 0010101 => 2
[3,4,6,1,8,7,5,2] => 0010111 => 1
[3,4,6,8,1,7,5,2] => 0001011 => 1
[2,4,8,6,1,7,5,3] => 0011011 => 1
[1,8,4,6,2,7,5,3] => 0101011 => 2
[1,8,5,6,7,2,4,3] => 0100101 => 2
[2,5,8,6,7,1,4,3] => 0010101 => 2
[3,5,6,8,7,1,4,2] => 0001101 => 1
[4,5,6,7,8,1,3,2] => 0000101 => 1
[4,5,6,7,1,3,8,2] => 0001001 => 1
[4,5,6,7,1,3,2,8] => 0001010 => 2
[4,5,6,7,3,1,8,2] => 0001101 => 1
[3,5,6,8,7,4,1,2] => 0001110 => 1
[2,5,8,6,7,4,1,3] => 0010110 => 2
[1,8,5,6,7,4,2,3] => 0100110 => 2
[1,8,5,6,7,4,3,2] => 0100111 => 1
[2,5,8,6,7,4,3,1] => 0010111 => 1
[8,2,5,3,7,1,6,4] => 1010101 => 3
[8,2,4,3,7,1,6,5] => 1010101 => 3
[5,8,2,4,3,7,1,6] => 0101010 => 3
[4,2,5,6,1,8,3,7] => 1001010 => 3
[4,2,5,6,1,7,3,8] => 1001010 => 3
[6,1,5,7,3,2,4,8] => 1001100 => 2
[6,1,5,8,3,2,4,7] => 1001100 => 2
[3,8,2,4,7,1,5,6] => 0100100 => 2
[3,6,8,2,4,7,1,5] => 0010010 => 2
[4,3,5,6,7,1,8,2] => 1000101 => 2
[3,7,1,5,6,8,2,4] => 0100010 => 2
[3,7,1,5,8,2,4,6] => 0100100 => 2
[8,3,2,4,6,1,5,7] => 1100100 => 2
[7,3,2,4,6,1,5,8] => 1100100 => 2
[3,2,5,1,7,4,6,8] => 1010100 => 3
[3,2,5,1,8,4,6,7] => 1010100 => 3
[3,2,5,1,7,8,4,6] => 1010010 => 3
[7,8,3,2,4,6,1,5] => 0110010 => 2
[6,1,5,7,8,3,2,4] => 1000110 => 2
[4,2,5,6,1,7,8,3] => 1001001 => 2
[5,7,6,1,8,3,4,2] => 0110101 => 2
[5,8,6,1,7,3,4,2] => 0110101 => 2
[6,1,5,8,7,3,2,4] => 1001110 => 2
[8,7,3,2,4,6,1,5] => 1110010 => 2
[3,2,5,1,8,7,4,6] => 1010110 => 3
[3,2,5,1,6,4,7,8] => 1010100 => 3
[3,2,4,1,8,7,5,6] => 1010110 => 3
[3,2,5,1,6,8,7,4] => 1010011 => 2
[3,8,6,5,1,7,4,2] => 0111011 => 1
[3,7,6,5,1,8,4,2] => 0111011 => 1
[6,5,1,7,8,4,2,3] => 1100110 => 2
[3,2,5,1,6,7,8,4] => 1010001 => 2
[3,2,4,1,8,5,6,7] => 1010100 => 3
[3,2,4,1,7,5,6,8] => 1010100 => 3
[3,2,4,1,6,8,5,7] => 1010010 => 3
[3,2,4,1,8,5,7,6] => 1010101 => 3
[8,3,2,4,7,6,1,5] => 1100110 => 2
[3,2,5,1,8,4,7,6] => 1010101 => 3
[3,2,5,1,6,7,4,8] => 1010010 => 3
[6,5,1,7,4,2,3,8] => 1101100 => 2
[6,5,1,8,4,2,3,7] => 1101100 => 2
[8,4,2,3,7,5,1,6] => 1100110 => 2
[4,2,6,1,8,3,7,5] => 1010101 => 3
[5,2,6,1,8,3,7,4] => 1010101 => 3
[8,4,6,1,7,3,5,2] => 1010101 => 3
[5,2,6,1,8,4,7,3] => 1010101 => 3
[7,4,2,3,8,5,1,6] => 1100110 => 2
[8,5,1,6,4,2,3,7] => 1101100 => 2
[7,5,1,6,4,2,3,8] => 1101100 => 2
[3,2,5,1,7,6,4,8] => 1010110 => 3
[3,2,5,1,8,6,4,7] => 1010110 => 3
[7,3,2,4,8,6,1,5] => 1100110 => 2
[8,6,1,5,7,3,2,4] => 1100110 => 2
[4,2,6,1,8,5,7,3] => 1010101 => 3
[8,5,6,1,7,3,4,2] => 1010101 => 3
[3,6,8,5,1,7,4,2] => 0011011 => 1
[8,5,1,6,7,4,2,3] => 1100110 => 2
[3,2,5,1,8,6,7,4] => 1010101 => 3
[3,2,4,1,8,6,5,7] => 1010110 => 3
[3,2,4,1,5,8,6,7] => 1010010 => 3
[3,2,5,1,7,8,6,4] => 1010011 => 2
[7,8,5,1,6,4,2,3] => 0110110 => 2
[3,8,5,1,7,6,4,2] => 0110111 => 1
[3,7,5,1,8,6,4,2] => 0110111 => 1
[8,7,5,1,6,4,2,3] => 1110110 => 2
[3,2,5,1,8,7,6,4] => 1010111 => 2
[6,5,7,3,1,8,4,2] => 1011011 => 2
[4,6,3,7,1,8,5,2] => 0101011 => 2
[4,6,3,7,5,1,8,2] => 0101101 => 2
[4,2,6,1,7,5,3,8] => 1010110 => 3
[2,5,7,4,1,6,3,8] => 0011010 => 2
[2,5,7,4,1,6,8,3] => 0011001 => 1
[5,4,7,3,6,1,8,2] => 1010101 => 3
[5,4,7,8,3,1,6,2] => 1001101 => 2
[4,3,7,5,1,8,6,2] => 1011011 => 2
[6,4,3,8,5,1,7,2] => 1101101 => 2
[5,8,4,3,6,1,7,2] => 0110101 => 2
[5,4,8,3,6,1,7,2] => 1010101 => 3
[5,4,3,6,7,1,8,2] => 1100101 => 2
[2,5,4,6,1,7,3,8] => 0101010 => 3
[3,2,5,8,1,6,7,4] => 1001001 => 2
[2,5,4,6,8,1,7,3] => 0100101 => 2
[5,2,8,4,1,6,7,3] => 1011001 => 2
[4,6,2,1,8,5,7,3] => 0110101 => 2
[2,4,1,7,5,8,6,3] => 0101011 => 2
[2,4,1,7,5,3,8,6] => 0101101 => 2
[2,6,4,1,8,5,3,7] => 0110110 => 2
[5,4,8,2,1,6,3,7] => 1011010 => 3
[2,5,8,4,1,6,3,7] => 0011010 => 2
[3,2,5,6,1,8,4,7] => 1001010 => 3
[4,8,3,2,6,1,5,7] => 0110100 => 2
[3,5,2,8,1,6,4,7] => 0101010 => 3
[3,2,1,6,8,5,4,7] => 1100110 => 2
[3,2,7,1,5,4,8,6] => 1010101 => 3
[3,2,7,1,5,8,6,4] => 1010011 => 2
[3,8,2,5,1,6,7,4] => 0101001 => 2
[4,8,3,2,6,7,1,5] => 0110010 => 2
[4,3,8,2,6,7,1,5] => 1010010 => 3
[4,3,2,6,7,8,1,5] => 1100010 => 2
[4,3,2,6,7,1,5,8] => 1100100 => 2
[4,3,7,2,6,8,1,5] => 1010010 => 3
[4,3,7,8,2,6,1,5] => 1001010 => 3
[2,5,7,4,8,1,6,3] => 0010101 => 2
[3,2,5,7,8,1,6,4] => 1000101 => 2
[3,2,5,7,1,6,8,4] => 1001001 => 2
[3,2,5,7,1,6,4,8] => 1001010 => 3
[6,3,2,7,1,5,4,8] => 1101010 => 3
[6,3,2,7,1,5,8,4] => 1101001 => 2
[6,3,2,7,8,1,5,4] => 1100101 => 2
[4,2,6,1,7,8,5,3] => 1010011 => 2
[6,5,2,1,7,8,4,3] => 1110011 => 1
[2,1,7,5,3,8,6,4] => 1011011 => 2
[6,2,1,8,5,3,7,4] => 1101101 => 2
[6,3,2,7,1,4,8,5] => 1101001 => 2
[6,3,2,1,4,7,8,5] => 1110001 => 1
[6,3,2,1,4,7,5,8] => 1110010 => 2
[3,5,2,1,7,4,6,8] => 0110100 => 2
[3,5,2,1,7,8,4,6] => 0110010 => 2
[5,8,4,2,1,7,3,6] => 0111010 => 2
[4,6,2,1,8,3,7,5] => 0110101 => 2
[2,4,1,7,3,8,6,5] => 0101011 => 2
[3,2,7,1,4,8,6,5] => 1010011 => 2
[3,5,8,2,1,7,4,6] => 0011010 => 2
[4,8,3,7,2,1,5,6] => 0101100 => 2
[4,3,7,2,8,1,5,6] => 1010100 => 3
[4,3,7,2,1,5,6,8] => 1011000 => 2
[4,8,3,2,7,1,5,6] => 0110100 => 2
[3,5,2,8,1,7,4,6] => 0101010 => 3
[6,3,2,8,1,4,7,5] => 1101001 => 2
[3,2,1,4,7,5,8,6] => 1100101 => 2
[5,3,2,1,8,4,6,7] => 1110100 => 2
[4,8,3,2,1,5,6,7] => 0111000 => 1
[4,3,8,2,1,5,6,7] => 1011000 => 2
[1,9,8,7,6,5,4,3,2] => 01111111 => 0
[8,7,6,4,5,3,2,1,9] => 11101110 => 2
[1,9,8,7,5,6,4,3,2] => 01110111 => 1
[1,10,9,8,7,6,5,4,3,2] => 011111111 => 0
[10,9,8,7,6,5,4,3,2,1,11] => 1111111110 => 1
[9,8,7,5,6,4,3,2,1,10] => 111011110 => 2
[8,7,5,4,6,3,2,1,9] => 11101110 => 2
[8,7,4,6,5,3,2,1,9] => 11011110 => 2
[1,9,8,6,5,7,4,3,2] => 01110111 => 1
[1,9,8,5,7,6,4,3,2] => 01101111 => 1
[1,10,9,8,6,7,5,4,3,2] => 011101111 => 1
[1,11,10,9,8,7,6,5,4,3,2] => 0111111111 => 0
[6,2,3,1,5,4,8,7] => 1010101 => 3
[8,4,5,2,3,1,7,6] => 1010101 => 3
[8,6,7,2,5,3,4,1] => 1010101 => 3
[8,2,5,3,4,1,7,6] => 1010101 => 3
[6,2,5,3,4,1,8,7] => 1010101 => 3
[6,1,5,2,4,3,8,7] => 1010101 => 3
[6,4,5,1,3,2,8,7] => 1010101 => 3
[6,1,5,3,4,2,8,7] => 1010101 => 3
[6,3,5,1,4,2,8,7] => 1010101 => 3
[8,3,5,2,4,1,7,6] => 1010101 => 3
[8,3,7,5,6,2,4,1] => 1010101 => 3
[8,3,7,2,4,1,6,5] => 1010101 => 3
[8,3,5,1,4,2,7,6] => 1010101 => 3
[8,1,5,3,4,2,7,6] => 1010101 => 3
[8,4,5,1,3,2,7,6] => 1010101 => 3
[2,1,8,4,5,3,7,6] => 1010101 => 3
[8,6,7,4,5,1,3,2] => 1010101 => 3
[8,6,7,1,5,3,4,2] => 1010101 => 3
[8,6,7,3,5,1,4,2] => 1010101 => 3
[8,3,7,5,6,1,4,2] => 1010101 => 3
[8,5,7,3,6,1,4,2] => 1010101 => 3
[8,3,7,4,6,2,5,1] => 1010101 => 3
[8,3,7,4,6,1,5,2] => 1010101 => 3
[8,3,7,1,6,4,5,2] => 1010101 => 3
[8,1,7,3,6,4,5,2] => 1010101 => 3
[8,1,7,5,6,3,4,2] => 1010101 => 3
[8,4,7,5,6,1,3,2] => 1010101 => 3
[2,1,8,4,7,5,6,3] => 1010101 => 3
[8,1,7,3,4,2,6,5] => 1010101 => 3
[8,1,7,3,6,2,5,4] => 1010101 => 3
[8,3,7,1,6,2,5,4] => 1010101 => 3
[8,3,7,2,6,4,5,1] => 1010101 => 3
[8,2,7,3,6,4,5,1] => 1010101 => 3
[8,2,7,3,6,1,5,4] => 1010101 => 3
[8,2,7,1,6,3,5,4] => 1010101 => 3
[8,1,7,2,4,3,6,5] => 1010101 => 3
[8,1,3,2,7,4,6,5] => 1010101 => 3
[2,1,8,3,7,4,6,5] => 1010101 => 3
[8,1,5,2,4,3,7,6] => 1010101 => 3
[8,2,7,1,4,3,6,5] => 1010101 => 3
[8,2,7,3,4,1,6,5] => 1010101 => 3
[8,2,7,5,6,3,4,1] => 1010101 => 3
[8,4,7,5,6,2,3,1] => 1010101 => 3
[8,4,7,2,3,1,6,5] => 1010101 => 3
[8,2,3,1,7,4,6,5] => 1010101 => 3
[8,2,3,1,5,4,7,6] => 1010101 => 3
[4,2,3,1,8,5,7,6] => 1010101 => 3
[4,1,3,2,8,6,7,5] => 1010101 => 3
[8,6,7,2,3,1,5,4] => 1010101 => 3
[8,2,3,1,7,5,6,4] => 1010101 => 3
[8,5,7,2,6,3,4,1] => 1010101 => 3
[8,5,7,2,6,1,4,3] => 1010101 => 3
[8,2,7,5,6,1,4,3] => 1010101 => 3
[8,6,7,2,5,1,4,3] => 1010101 => 3
[8,6,7,1,5,2,4,3] => 1010101 => 3
[8,6,7,1,3,2,5,4] => 1010101 => 3
[2,1,8,6,7,3,5,4] => 1010101 => 3
[2,1,8,3,7,5,6,4] => 1010101 => 3
[8,1,3,2,7,5,6,4] => 1010101 => 3
[8,1,7,5,6,2,4,3] => 1010101 => 3
[8,1,7,2,6,4,5,3] => 1010101 => 3
[8,2,7,1,6,4,5,3] => 1010101 => 3
[8,2,7,4,6,1,5,3] => 1010101 => 3
[8,2,7,4,6,3,5,1] => 1010101 => 3
[8,4,7,2,6,3,5,1] => 1010101 => 3
[8,4,7,2,6,1,5,3] => 1010101 => 3
[8,4,7,1,6,2,5,3] => 1010101 => 3
[8,1,7,4,6,2,5,3] => 1010101 => 3
[8,5,7,1,6,2,4,3] => 1010101 => 3
[2,1,8,5,7,3,6,4] => 1010101 => 3
[8,5,7,4,6,1,3,2] => 1010101 => 3
[8,5,7,1,6,3,4,2] => 1010101 => 3
[8,1,7,4,6,3,5,2] => 1010101 => 3
[8,4,7,1,6,3,5,2] => 1010101 => 3
[8,4,7,3,6,1,5,2] => 1010101 => 3
[2,4,8,3,6,1,7,5] => 0010101 => 2
[6,5,8,1,3,2,7,4] => 1010101 => 3
[4,5,8,6,3,2,7,1] => 0011101 => 1
[6,5,8,7,3,1,2,4] => 1011100 => 2
[1,5,8,7,3,6,2,4] => 0011010 => 2
[1,7,2,8,4,6,5,3] => 0101011 => 2
[6,7,2,8,4,1,5,3] => 0101101 => 2
[3,6,2,8,4,5,7,1] => 0101001 => 2
[2,6,1,8,4,5,7,3] => 0101001 => 2
[2,8,4,6,1,5,7,3] => 0101001 => 2
[6,3,1,8,4,5,7,2] => 1101001 => 2
[3,1,6,8,4,5,7,2] => 1001001 => 2
[2,3,6,8,4,5,7,1] => 0001001 => 1
[6,3,7,8,4,1,5,2] => 1001101 => 2
[1,3,7,8,4,6,5,2] => 0001011 => 1
[1,5,7,8,2,4,6,3] => 0001001 => 1
[5,1,7,8,2,4,6,3] => 1001001 => 2
[3,6,7,8,4,2,5,1] => 0001101 => 1
[7,6,1,8,4,2,5,3] => 1101101 => 2
[5,6,8,7,3,2,1,4] => 0011110 => 1
[2,8,3,7,1,6,5,4] => 0101011 => 2
[5,2,8,7,3,6,1,4] => 1011010 => 3
[7,2,1,8,4,6,5,3] => 1101011 => 2
[3,2,7,8,4,6,5,1] => 1001011 => 2
[5,2,7,8,1,4,6,3] => 1001001 => 2
[1,2,7,8,5,4,6,3] => 0001101 => 1
[4,2,1,3,8,5,6,7] => 1100100 => 2
[7,2,5,8,3,4,6,1] => 1001001 => 2
[6,2,8,5,4,3,1,7] => 1011110 => 2
[2,8,3,5,4,1,6,7] => 0101100 => 2
[2,8,4,5,3,1,6,7] => 0101100 => 2
[6,4,8,5,2,3,1,7] => 1011010 => 3
[7,3,5,8,2,4,6,1] => 1001001 => 2
[4,3,1,2,8,5,6,7] => 1100100 => 2
[3,4,2,1,8,5,6,7] => 0110100 => 2
[2,7,6,8,4,3,5,1] => 0101101 => 2
[5,7,1,8,3,4,6,2] => 0101001 => 2
[3,7,5,8,1,4,6,2] => 0101001 => 2
[1,7,5,8,3,4,6,2] => 0101001 => 2
[1,6,8,5,4,3,2,7] => 0011110 => 1
[4,6,8,5,1,3,2,7] => 0011010 => 2
[5,6,8,1,4,3,2,7] => 0010110 => 2
[7,5,8,6,3,4,2,1] => 1011011 => 2
[2,4,8,3,6,5,1,7] => 0010110 => 2
[2,8,4,1,5,6,3,7] => 0110010 => 2
[4,1,8,3,5,6,2,7] => 1010010 => 3
[5,6,8,4,1,3,2,7] => 0011010 => 2
[4,6,8,1,5,3,2,7] => 0010110 => 2
[1,6,8,4,5,3,2,7] => 0010110 => 2
[1,7,3,8,5,4,6,2] => 0101101 => 2
[3,7,1,8,5,4,6,2] => 0101101 => 2
[2,7,3,8,4,6,5,1] => 0101011 => 2
[7,1,3,8,4,6,5,2] => 1001011 => 2
[5,7,8,4,3,6,1,2] => 0011010 => 2
[2,8,7,4,1,6,5,3] => 0111011 => 1
[2,8,5,4,3,1,6,7] => 0111100 => 1
[6,5,8,4,2,3,1,7] => 1011010 => 3
[4,1,3,2,8,5,6,7] => 1010100 => 3
[1,4,3,2,8,5,6,7] => 0110100 => 2
[7,3,2,8,5,4,6,1] => 1101101 => 2
[6,4,8,2,5,3,1,7] => 1010110 => 3
[2,8,4,3,5,1,6,7] => 0110100 => 2
[2,8,3,4,5,1,6,7] => 0100100 => 2
[6,2,8,4,5,3,1,7] => 1010110 => 3
[7,2,3,8,5,4,6,1] => 1001101 => 2
[4,2,3,1,8,5,6,7] => 1010100 => 3
[3,2,1,4,8,5,6,7] => 1100100 => 2
[5,1,3,2,4,8,6,7] => 1010010 => 3
[2,8,1,5,3,4,7,6] => 0101001 => 2
[1,2,8,4,5,3,7,6] => 0010101 => 2
[1,4,2,8,5,3,6,7] => 0101100 => 2
[1,8,4,2,5,3,6,7] => 0110100 => 2
[8,1,5,3,2,4,6,7] => 1011000 => 2
[3,8,1,5,2,4,6,7] => 0101000 => 2
[3,5,1,4,8,2,6,7] => 0100100 => 2
[1,5,2,8,4,3,6,7] => 0101100 => 2
[1,2,8,5,4,3,6,7] => 0011100 => 1
[1,2,5,4,3,8,6,7] => 0011010 => 2
[1,2,4,8,5,3,7,6] => 0001101 => 1
[1,2,7,4,8,5,3,6] => 0010110 => 2
[1,5,2,7,8,4,3,6] => 0100110 => 2
[5,1,2,7,4,8,3,6] => 1001010 => 3
[8,3,5,1,4,7,2,6] => 1010010 => 3
[2,8,1,5,4,7,3,6] => 0101010 => 3
[1,2,8,5,7,4,3,6] => 0010110 => 2
[1,2,4,8,7,5,3,6] => 0001110 => 1
[2,8,1,4,3,7,6,5] => 0101011 => 2
[6,1,2,8,7,4,3,5] => 1001110 => 2
[6,4,1,2,8,7,3,5] => 1100110 => 2
[3,6,4,8,1,7,2,5] => 0101010 => 3
[7,6,1,4,2,8,3,5] => 1101010 => 3
[7,1,6,2,8,4,3,5] => 1010110 => 3
[1,6,7,2,8,4,3,5] => 0010110 => 2
[6,7,1,4,2,8,3,5] => 0101010 => 3
[6,3,7,1,4,8,2,5] => 1010010 => 3
[3,7,8,1,5,2,4,6] => 0010100 => 2
[7,1,2,8,5,3,4,6] => 1001100 => 2
[1,7,2,8,4,5,3,6] => 0101010 => 3
[1,4,2,7,8,5,3,6] => 0100110 => 2
[6,1,2,8,4,3,7,5] => 1001101 => 2
[6,4,1,2,8,3,7,5] => 1100101 => 2
[7,6,1,3,2,4,8,5] => 1101001 => 2
[6,7,1,3,2,4,8,5] => 0101001 => 2
[1,2,7,3,5,8,4,6] => 0010010 => 2
[1,2,7,5,8,3,4,6] => 0010100 => 2
[5,8,1,3,7,2,4,6] => 0100100 => 2
[1,2,5,8,7,3,4,6] => 0001100 => 1
[1,2,5,8,3,7,4,6] => 0001010 => 2
[2,8,1,7,3,5,4,6] => 0101010 => 3
[8,6,1,3,2,4,7,5] => 1101001 => 2
[4,2,8,1,7,3,6,5] => 1010101 => 3
[2,8,1,7,4,3,6,5] => 0101101 => 2
[7,1,2,8,4,3,6,5] => 1001101 => 2
[1,2,8,4,7,5,3,6] => 0010110 => 2
[1,2,8,7,4,5,3,6] => 0011010 => 2
[2,8,1,7,5,3,4,6] => 0101100 => 2
[8,3,7,1,5,2,4,6] => 1010100 => 3
[3,8,6,1,4,7,2,5] => 0110010 => 2
[8,6,1,4,2,7,3,5] => 1101010 => 3
[8,1,6,2,7,4,3,5] => 1010110 => 3
[7,1,2,8,6,4,3,5] => 1001110 => 2
[7,4,1,2,8,6,3,5] => 1100110 => 2
[3,7,4,8,1,6,2,5] => 0101010 => 3
[3,4,8,7,1,6,2,5] => 0011010 => 2
[4,2,8,1,7,6,3,5] => 1010110 => 3
[2,8,1,7,6,4,3,5] => 0101110 => 2
[7,8,3,4,1,5,2,6] => 0101010 => 3
[7,8,3,4,1,6,2,5] => 0101010 => 3
[6,8,3,4,1,7,2,5] => 0101010 => 3
[6,7,3,4,1,8,2,5] => 0101010 => 3
[5,7,3,4,1,8,2,6] => 0101010 => 3
[5,8,3,4,1,7,2,6] => 0101010 => 3
[5,8,3,4,1,6,2,7] => 0101010 => 3
[6,8,3,4,1,5,2,7] => 0101010 => 3
[6,7,3,4,1,5,2,8] => 0101010 => 3
[5,7,3,4,1,6,2,8] => 0101010 => 3
[5,6,2,8,3,4,1,7] => 0101010 => 3
[5,6,2,7,3,4,1,8] => 0101010 => 3
[4,6,2,8,3,5,1,7] => 0101010 => 3
[4,7,3,5,1,6,2,8] => 0101010 => 3
[4,8,3,5,1,6,2,7] => 0101010 => 3
[4,8,3,5,1,7,2,6] => 0101010 => 3
[4,7,3,5,1,8,2,6] => 0101010 => 3
[5,6,2,3,1,7,4,8] => 0101010 => 3
[5,6,2,4,1,8,3,7] => 0101010 => 3
[5,6,2,4,1,7,3,8] => 0101010 => 3
[4,6,2,5,1,7,3,8] => 0101010 => 3
[4,6,2,5,1,8,3,7] => 0101010 => 3
[4,5,1,8,3,7,2,6] => 0101010 => 3
[4,5,1,7,3,8,2,6] => 0101010 => 3
[4,6,2,7,3,8,1,5] => 0101010 => 3
[5,6,2,7,3,8,1,4] => 0101010 => 3
[5,6,2,7,4,8,1,3] => 0101010 => 3
[5,6,3,8,4,7,1,2] => 0101010 => 3
[5,6,2,8,4,7,1,3] => 0101010 => 3
[5,6,2,8,3,7,1,4] => 0101010 => 3
[4,6,2,8,3,7,1,5] => 0101010 => 3
[4,5,1,7,3,6,2,8] => 0101010 => 3
[4,5,1,8,3,6,2,7] => 0101010 => 3
[9,2,1,3,4,5,6,7,8] => 11000000 => 1
[10,2,1,3,4,5,6,7,8,9] => 110000000 => 1
[9,2,3,1,4,5,6,7,8] => 10100000 => 2
[4,2,3,5,6,7,8,9,1] => 10000001 => 1
[3,4,2,5,6,7,8,9,1] => 01000001 => 1
[3,2,4,5,6,7,8,9,10,1] => 100000001 => 1
[2,3,4,5,6,7,8,9,10,11,1] => 0000000001 => 0
[6,5,3,2,1,4,8,7] => 1111001 => 1
[4,6,3,5,2,1,8,7] => 0101101 => 2
[8,7,3,5,2,4,1,6] => 1101010 => 3
[6,8,2,4,5,7,3,1] => 0100011 => 1
[8,7,2,4,5,3,1,6] => 1100110 => 2
[3,6,1,4,5,2,8,7] => 0100101 => 2
[8,3,7,4,5,2,1,6] => 1010110 => 3
[6,3,8,4,5,7,2,1] => 1010011 => 2
[5,8,7,4,3,6,2,1] => 0111011 => 1
[2,8,7,4,3,6,1,5] => 0111010 => 2
[8,1,7,4,3,6,2,5] => 1011010 => 3
[8,7,3,5,1,4,2,6] => 1101010 => 3
[2,1,6,8,5,7,4,3] => 1001011 => 2
[6,8,3,5,1,7,4,2] => 0101011 => 2
[5,1,8,4,7,6,3,2] => 1010111 => 2
[2,5,8,4,7,6,3,1] => 0010111 => 1
[4,3,8,1,5,6,7,2] => 1010001 => 2
[4,8,1,3,5,6,7,2] => 0100001 => 1
[5,8,7,4,1,6,3,2] => 0111011 => 1
[5,8,3,6,1,4,7,2] => 0101001 => 2
[4,8,3,6,1,2,7,5] => 0101001 => 2
[3,8,7,4,1,6,2,5] => 0111010 => 2
[3,8,1,2,5,6,7,4] => 0100001 => 1
[8,7,1,4,2,6,3,5] => 1101010 => 3
[8,6,3,1,2,4,7,5] => 1110001 => 1
[8,1,7,4,5,2,3,6] => 1010100 => 3
[2,8,7,4,5,1,3,6] => 0110100 => 2
[8,7,2,4,1,6,3,5] => 1101010 => 3
[5,8,3,6,2,4,7,1] => 0101001 => 2
[8,6,3,2,1,4,7,5] => 1111001 => 1
[8,7,3,5,2,1,4,6] => 1101100 => 2
[5,8,3,6,2,1,7,4] => 0101101 => 2
[5,8,7,4,2,6,1,3] => 0111010 => 2
[2,6,8,4,5,7,1,3] => 0010010 => 2
[6,1,8,4,5,7,2,3] => 1010010 => 3
[6,8,3,5,1,7,2,4] => 0101010 => 3
[2,1,5,8,3,6,7,4] => 1001001 => 2
[5,8,3,6,1,2,7,4] => 0101001 => 2
[4,1,8,2,5,6,7,3] => 1010001 => 2
[2,4,8,1,5,6,7,3] => 0010001 => 1
[4,8,2,1,5,6,7,3] => 0110001 => 1
[3,4,8,2,5,6,7,1] => 0010001 => 1
[5,8,1,4,7,6,2,3] => 0100110 => 2
[5,8,3,1,6,2,7,4] => 0110101 => 2
[4,5,3,8,6,1,7,2] => 0101101 => 2
[3,4,1,8,5,6,7,2] => 0101001 => 2
[2,4,6,8,10,1,3,5,7,9] => 000010000 => 1
[2,4,6,9,10,1,3,5,7,8] => 000010000 => 1
[2,4,7,8,10,1,3,5,6,9] => 000010000 => 1
[2,4,7,9,10,1,3,5,6,8] => 000010000 => 1
[2,4,8,9,10,1,3,5,6,7] => 000010000 => 1
[2,5,6,8,10,1,3,4,7,9] => 000010000 => 1
[2,5,6,9,10,1,3,4,7,8] => 000010000 => 1
[2,5,7,8,10,1,3,4,6,9] => 000010000 => 1
[2,5,7,9,10,1,3,4,6,8] => 000010000 => 1
[2,5,8,9,10,1,3,4,6,7] => 000010000 => 1
[2,6,7,8,10,1,3,4,5,9] => 000010000 => 1
[2,6,7,9,10,1,3,4,5,8] => 000010000 => 1
[2,6,8,9,10,1,3,4,5,7] => 000010000 => 1
[2,7,8,9,10,1,3,4,5,6] => 000010000 => 1
[3,4,6,8,10,1,2,5,7,9] => 000010000 => 1
[3,4,6,9,10,1,2,5,7,8] => 000010000 => 1
[3,4,7,8,10,1,2,5,6,9] => 000010000 => 1
[3,4,7,9,10,1,2,5,6,8] => 000010000 => 1
[3,4,8,9,10,1,2,5,6,7] => 000010000 => 1
[3,5,6,8,10,1,2,4,7,9] => 000010000 => 1
[3,5,6,9,10,1,2,4,7,8] => 000010000 => 1
[3,5,7,8,10,1,2,4,6,9] => 000010000 => 1
[3,5,7,9,10,1,2,4,6,8] => 000010000 => 1
[3,5,8,9,10,1,2,4,6,7] => 000010000 => 1
[3,6,7,8,10,1,2,4,5,9] => 000010000 => 1
[3,6,7,9,10,1,2,4,5,8] => 000010000 => 1
[3,6,8,9,10,1,2,4,5,7] => 000010000 => 1
[3,7,8,9,10,1,2,4,5,6] => 000010000 => 1
[4,5,6,8,10,1,2,3,7,9] => 000010000 => 1
[4,5,6,9,10,1,2,3,7,8] => 000010000 => 1
[4,5,7,8,10,1,2,3,6,9] => 000010000 => 1
[4,5,7,9,10,1,2,3,6,8] => 000010000 => 1
[4,5,8,9,10,1,2,3,6,7] => 000010000 => 1
[4,6,7,8,10,1,2,3,5,9] => 000010000 => 1
[4,6,7,9,10,1,2,3,5,8] => 000010000 => 1
[4,6,8,9,10,1,2,3,5,7] => 000010000 => 1
[4,7,8,9,10,1,2,3,5,6] => 000010000 => 1
[5,6,7,8,10,1,2,3,4,9] => 000010000 => 1
[5,6,7,9,10,1,2,3,4,8] => 000010000 => 1
[5,6,8,9,10,1,2,3,4,7] => 000010000 => 1
[5,7,8,9,10,1,2,3,4,6] => 000010000 => 1
[2,4,6,8,10,12,1,3,5,7,9,11] => 00000100000 => 1
[2,4,6,8,11,12,1,3,5,7,9,10] => 00000100000 => 1
[2,4,6,9,10,12,1,3,5,7,8,11] => 00000100000 => 1
[2,4,6,9,11,12,1,3,5,7,8,10] => 00000100000 => 1
[2,4,6,10,11,12,1,3,5,7,8,9] => 00000100000 => 1
[2,4,7,8,10,12,1,3,5,6,9,11] => 00000100000 => 1
[2,4,7,8,11,12,1,3,5,6,9,10] => 00000100000 => 1
[2,4,7,9,10,12,1,3,5,6,8,11] => 00000100000 => 1
[2,4,7,9,11,12,1,3,5,6,8,10] => 00000100000 => 1
[2,4,7,10,11,12,1,3,5,6,8,9] => 00000100000 => 1
[2,4,8,9,10,12,1,3,5,6,7,11] => 00000100000 => 1
[2,4,8,9,11,12,1,3,5,6,7,10] => 00000100000 => 1
[2,4,8,10,11,12,1,3,5,6,7,9] => 00000100000 => 1
[2,4,9,10,11,12,1,3,5,6,7,8] => 00000100000 => 1
[2,5,6,8,10,12,1,3,4,7,9,11] => 00000100000 => 1
[2,5,6,8,11,12,1,3,4,7,9,10] => 00000100000 => 1
[2,5,6,9,10,12,1,3,4,7,8,11] => 00000100000 => 1
[2,5,6,9,11,12,1,3,4,7,8,10] => 00000100000 => 1
[2,5,6,10,11,12,1,3,4,7,8,9] => 00000100000 => 1
[2,5,7,8,10,12,1,3,4,6,9,11] => 00000100000 => 1
[2,5,7,8,11,12,1,3,4,6,9,10] => 00000100000 => 1
[2,5,7,9,10,12,1,3,4,6,8,11] => 00000100000 => 1
[2,5,7,9,11,12,1,3,4,6,8,10] => 00000100000 => 1
[2,5,7,10,11,12,1,3,4,6,8,9] => 00000100000 => 1
[2,5,8,9,10,12,1,3,4,6,7,11] => 00000100000 => 1
[2,5,8,9,11,12,1,3,4,6,7,10] => 00000100000 => 1
[2,5,8,10,11,12,1,3,4,6,7,9] => 00000100000 => 1
[2,5,9,10,11,12,1,3,4,6,7,8] => 00000100000 => 1
[2,6,7,8,10,12,1,3,4,5,9,11] => 00000100000 => 1
[2,6,7,8,11,12,1,3,4,5,9,10] => 00000100000 => 1
[2,6,7,9,10,12,1,3,4,5,8,11] => 00000100000 => 1
[2,6,7,9,11,12,1,3,4,5,8,10] => 00000100000 => 1
[2,6,7,10,11,12,1,3,4,5,8,9] => 00000100000 => 1
[2,6,8,9,10,12,1,3,4,5,7,11] => 00000100000 => 1
[2,6,8,9,11,12,1,3,4,5,7,10] => 00000100000 => 1
[2,6,8,10,11,12,1,3,4,5,7,9] => 00000100000 => 1
[2,6,9,10,11,12,1,3,4,5,7,8] => 00000100000 => 1
[2,7,8,9,10,12,1,3,4,5,6,11] => 00000100000 => 1
[2,7,8,9,11,12,1,3,4,5,6,10] => 00000100000 => 1
[2,7,8,10,11,12,1,3,4,5,6,9] => 00000100000 => 1
[2,7,9,10,11,12,1,3,4,5,6,8] => 00000100000 => 1
[2,8,9,10,11,12,1,3,4,5,6,7] => 00000100000 => 1
[3,4,6,8,10,12,1,2,5,7,9,11] => 00000100000 => 1
[3,4,6,8,11,12,1,2,5,7,9,10] => 00000100000 => 1
[3,4,6,9,10,12,1,2,5,7,8,11] => 00000100000 => 1
[3,4,6,9,11,12,1,2,5,7,8,10] => 00000100000 => 1
[3,4,6,10,11,12,1,2,5,7,8,9] => 00000100000 => 1
[3,4,7,8,10,12,1,2,5,6,9,11] => 00000100000 => 1
[3,4,7,8,11,12,1,2,5,6,9,10] => 00000100000 => 1
[3,4,7,9,10,12,1,2,5,6,8,11] => 00000100000 => 1
[3,4,7,9,11,12,1,2,5,6,8,10] => 00000100000 => 1
[3,4,7,10,11,12,1,2,5,6,8,9] => 00000100000 => 1
[3,4,8,9,10,12,1,2,5,6,7,11] => 00000100000 => 1
[3,4,8,9,11,12,1,2,5,6,7,10] => 00000100000 => 1
[3,4,8,10,11,12,1,2,5,6,7,9] => 00000100000 => 1
[3,4,9,10,11,12,1,2,5,6,7,8] => 00000100000 => 1
[3,5,6,8,10,12,1,2,4,7,9,11] => 00000100000 => 1
[3,5,6,8,11,12,1,2,4,7,9,10] => 00000100000 => 1
[3,5,6,9,10,12,1,2,4,7,8,11] => 00000100000 => 1
[3,5,6,9,11,12,1,2,4,7,8,10] => 00000100000 => 1
[3,5,6,10,11,12,1,2,4,7,8,9] => 00000100000 => 1
[3,5,7,8,10,12,1,2,4,6,9,11] => 00000100000 => 1
[3,5,7,8,11,12,1,2,4,6,9,10] => 00000100000 => 1
[3,5,7,9,10,12,1,2,4,6,8,11] => 00000100000 => 1
[3,5,7,9,11,12,1,2,4,6,8,10] => 00000100000 => 1
[3,5,7,10,11,12,1,2,4,6,8,9] => 00000100000 => 1
[3,5,8,9,10,12,1,2,4,6,7,11] => 00000100000 => 1
[3,5,8,9,11,12,1,2,4,6,7,10] => 00000100000 => 1
[3,5,8,10,11,12,1,2,4,6,7,9] => 00000100000 => 1
[3,5,9,10,11,12,1,2,4,6,7,8] => 00000100000 => 1
[3,6,7,8,10,12,1,2,4,5,9,11] => 00000100000 => 1
[3,6,7,8,11,12,1,2,4,5,9,10] => 00000100000 => 1
[3,6,7,9,10,12,1,2,4,5,8,11] => 00000100000 => 1
[3,6,7,9,11,12,1,2,4,5,8,10] => 00000100000 => 1
[3,6,7,10,11,12,1,2,4,5,8,9] => 00000100000 => 1
[3,6,8,9,10,12,1,2,4,5,7,11] => 00000100000 => 1
[3,6,8,9,11,12,1,2,4,5,7,10] => 00000100000 => 1
[3,6,8,10,11,12,1,2,4,5,7,9] => 00000100000 => 1
[3,6,9,10,11,12,1,2,4,5,7,8] => 00000100000 => 1
[3,7,8,9,10,12,1,2,4,5,6,11] => 00000100000 => 1
[3,7,8,9,11,12,1,2,4,5,6,10] => 00000100000 => 1
[3,7,8,10,11,12,1,2,4,5,6,9] => 00000100000 => 1
[3,7,9,10,11,12,1,2,4,5,6,8] => 00000100000 => 1
[3,8,9,10,11,12,1,2,4,5,6,7] => 00000100000 => 1
[4,5,6,8,10,12,1,2,3,7,9,11] => 00000100000 => 1
[4,5,6,8,11,12,1,2,3,7,9,10] => 00000100000 => 1
[4,5,6,9,10,12,1,2,3,7,8,11] => 00000100000 => 1
[4,5,6,9,11,12,1,2,3,7,8,10] => 00000100000 => 1
[4,5,6,10,11,12,1,2,3,7,8,9] => 00000100000 => 1
[4,5,7,8,10,12,1,2,3,6,9,11] => 00000100000 => 1
[4,5,7,8,11,12,1,2,3,6,9,10] => 00000100000 => 1
[4,5,7,9,10,12,1,2,3,6,8,11] => 00000100000 => 1
[4,5,7,9,11,12,1,2,3,6,8,10] => 00000100000 => 1
[4,5,7,10,11,12,1,2,3,6,8,9] => 00000100000 => 1
[4,5,8,9,10,12,1,2,3,6,7,11] => 00000100000 => 1
[4,5,8,9,11,12,1,2,3,6,7,10] => 00000100000 => 1
[4,5,8,10,11,12,1,2,3,6,7,9] => 00000100000 => 1
[4,5,9,10,11,12,1,2,3,6,7,8] => 00000100000 => 1
[4,6,7,8,10,12,1,2,3,5,9,11] => 00000100000 => 1
[4,6,7,8,11,12,1,2,3,5,9,10] => 00000100000 => 1
[4,6,7,9,10,12,1,2,3,5,8,11] => 00000100000 => 1
[4,6,7,9,11,12,1,2,3,5,8,10] => 00000100000 => 1
[4,6,7,10,11,12,1,2,3,5,8,9] => 00000100000 => 1
[4,6,8,9,10,12,1,2,3,5,7,11] => 00000100000 => 1
[4,6,8,9,11,12,1,2,3,5,7,10] => 00000100000 => 1
[4,6,8,10,11,12,1,2,3,5,7,9] => 00000100000 => 1
[4,6,9,10,11,12,1,2,3,5,7,8] => 00000100000 => 1
[4,7,8,9,10,12,1,2,3,5,6,11] => 00000100000 => 1
[4,7,8,9,11,12,1,2,3,5,6,10] => 00000100000 => 1
[4,7,8,10,11,12,1,2,3,5,6,9] => 00000100000 => 1
[4,7,9,10,11,12,1,2,3,5,6,8] => 00000100000 => 1
[4,8,9,10,11,12,1,2,3,5,6,7] => 00000100000 => 1
[5,6,7,8,10,12,1,2,3,4,9,11] => 00000100000 => 1
[5,6,7,8,11,12,1,2,3,4,9,10] => 00000100000 => 1
[5,6,7,9,10,12,1,2,3,4,8,11] => 00000100000 => 1
[5,6,7,9,11,12,1,2,3,4,8,10] => 00000100000 => 1
[5,6,7,10,11,12,1,2,3,4,8,9] => 00000100000 => 1
[5,6,8,9,10,12,1,2,3,4,7,11] => 00000100000 => 1
[5,6,8,9,11,12,1,2,3,4,7,10] => 00000100000 => 1
[5,6,8,10,11,12,1,2,3,4,7,9] => 00000100000 => 1
[5,6,9,10,11,12,1,2,3,4,7,8] => 00000100000 => 1
[5,7,8,9,10,12,1,2,3,4,6,11] => 00000100000 => 1
[5,7,8,9,11,12,1,2,3,4,6,10] => 00000100000 => 1
[5,7,8,10,11,12,1,2,3,4,6,9] => 00000100000 => 1
[5,7,9,10,11,12,1,2,3,4,6,8] => 00000100000 => 1
[5,8,9,10,11,12,1,2,3,4,6,7] => 00000100000 => 1
[6,7,8,9,10,12,1,2,3,4,5,11] => 00000100000 => 1
[6,7,8,9,11,12,1,2,3,4,5,10] => 00000100000 => 1
[6,7,8,10,11,12,1,2,3,4,5,9] => 00000100000 => 1
[6,7,9,10,11,12,1,2,3,4,5,8] => 00000100000 => 1
[6,8,9,10,11,12,1,2,3,4,5,7] => 00000100000 => 1
[7,8,9,10,11,12,1,2,3,4,5,6] => 00000100000 => 1
[4,5,7,6,2,3,8,1] => 0011001 => 1
[3,5,7,2,6,4,8,1] => 0010101 => 2
[2,5,7,3,6,4,8,1] => 0010101 => 2
[1,5,7,3,6,8,4,2] => 0010011 => 1
[8,4,3,7,6,1,5,2] => 1101101 => 2
[6,7,2,3,5,4,8,1] => 0100101 => 2
[5,2,7,3,6,4,8,1] => 1010101 => 3
[8,3,4,7,6,1,5,2] => 1001101 => 2
[8,2,4,7,1,6,5,3] => 1001011 => 2
[3,1,4,7,6,8,5,2] => 1001011 => 2
[4,1,3,7,6,8,5,2] => 1001011 => 2
[5,1,7,3,6,8,4,2] => 1010011 => 2
[6,7,1,3,5,8,4,2] => 0100011 => 1
[5,8,7,3,6,1,4,2] => 0110101 => 2
[4,8,3,7,6,1,5,2] => 0101101 => 2
[3,8,4,7,6,1,5,2] => 0101101 => 2
[2,8,4,7,1,6,5,3] => 0101011 => 2
[8,1,4,7,2,6,5,3] => 1001011 => 2
[8,1,3,2,7,6,5,4] => 1010111 => 2
[2,8,3,1,7,6,5,4] => 0110111 => 1
[3,8,2,1,7,6,5,4] => 0110111 => 1
[6,7,1,2,8,5,4,3] => 0100111 => 1
[8,2,3,1,7,6,5,4] => 1010111 => 2
[8,3,2,1,7,6,5,4] => 1110111 => 1
[3,4,1,7,6,8,5,2] => 0101011 => 2
[1,4,2,7,8,6,5,3] => 0100111 => 1
[8,4,2,7,1,6,5,3] => 1101011 => 2
[8,5,7,2,1,6,4,3] => 1011011 => 2
[1,5,7,2,8,6,4,3] => 0010111 => 1
[2,5,7,1,8,6,4,3] => 0010111 => 1
[3,5,7,1,6,8,4,2] => 0010011 => 1
[6,7,4,5,8,1,3,2] => 0100101 => 2
[5,4,7,6,8,1,3,2] => 1010101 => 3
[2,5,7,8,1,6,4,3] => 0001011 => 1
[1,5,7,8,2,6,4,3] => 0001011 => 1
[8,5,7,1,2,6,4,3] => 1010011 => 2
[8,4,1,7,2,6,5,3] => 1101011 => 2
[1,4,8,7,2,6,5,3] => 0011011 => 1
[3,4,8,7,6,1,5,2] => 0011101 => 1
[4,3,8,7,6,1,5,2] => 1011101 => 2
[5,3,7,8,6,1,4,2] => 1001101 => 2
[6,7,2,8,1,5,4,3] => 0101011 => 2
[5,2,7,8,1,6,4,3] => 1001011 => 2
[4,2,8,7,1,6,5,3] => 1011011 => 2
[3,2,8,1,7,6,5,4] => 1010111 => 2
[1,3,8,2,7,6,5,4] => 0010111 => 1
[8,3,1,2,7,6,5,4] => 1100111 => 1
[8,2,1,3,7,6,5,4] => 1100111 => 1
[1,2,8,3,7,6,5,4] => 0010111 => 1
[2,1,8,3,7,6,5,4] => 1010111 => 2
[4,1,8,7,2,6,5,3] => 1011011 => 2
[5,1,7,8,2,6,4,3] => 1001011 => 2
[6,7,1,8,2,5,4,3] => 0101011 => 2
[5,8,7,1,2,6,4,3] => 0110011 => 1
[4,8,1,7,2,6,5,3] => 0101011 => 2
[3,8,1,2,7,6,5,4] => 0100111 => 1
[2,8,1,3,7,6,5,4] => 0100111 => 1
[1,8,2,3,7,6,5,4] => 0100111 => 1
[8,1,2,3,7,6,5,4] => 1000111 => 1
[3,1,4,5,6,7,8,9,10,2] => 100000001 => 1
[2,3,4,5,6,7,8,9,11,1,10] => 0000000010 => 1
[10,3,4,5,6,7,8,1,2,9] => 100000100 => 2
[10,1,4,5,6,7,8,9,2,3] => 100000010 => 2
[2,3,4,5,6,7,8,9,10,12,1,11] => 00000000010 => 1
[11,3,4,5,6,7,8,9,1,2,10] => 1000000100 => 2
[2,10,4,5,6,7,8,1,3,9] => 010000100 => 2
[8,3,4,5,6,7,1,10,2,9] => 100001010 => 3
[3,1,10,5,6,7,8,9,2,4] => 101000010 => 3
[9,1,4,5,6,7,8,2,10,3] => 100000101 => 2
[11,1,4,5,6,7,8,9,10,2,3] => 1000000010 => 2
[6,7,1,8,4,5,2,3] => 0101010 => 3
[3,7,1,5,8,2,6,4] => 0100101 => 2
[2,7,1,5,8,3,6,4] => 0100101 => 2
[2,6,5,1,8,3,7,4] => 0110101 => 2
[3,6,5,1,8,2,7,4] => 0110101 => 2
[4,6,5,1,8,7,2,3] => 0110110 => 2
[5,6,4,1,8,7,2,3] => 0110110 => 2
[8,1,4,5,7,6,2,3] => 1000110 => 2
[6,4,5,1,8,7,2,3] => 1010110 => 3
[5,4,6,1,8,7,2,3] => 1010110 => 3
[4,5,6,1,8,7,2,3] => 0010110 => 2
[3,5,6,1,8,2,7,4] => 0010101 => 2
[2,5,6,1,8,3,7,4] => 0010101 => 2
[2,4,6,1,3,8,7,5] => 0010011 => 1
[3,4,6,1,2,8,7,5] => 0010011 => 1
[4,3,6,1,2,8,7,5] => 1010011 => 2
[5,3,6,1,8,2,7,4] => 1010101 => 3
[7,3,1,5,8,2,6,4] => 1100101 => 2
[8,1,3,5,7,2,6,4] => 1000101 => 2
[8,1,2,5,7,3,6,4] => 1000101 => 2
[7,2,1,5,8,3,6,4] => 1100101 => 2
[6,2,5,1,8,3,7,4] => 1010101 => 3
[4,2,6,1,3,8,7,5] => 1010011 => 2
[2,3,6,1,4,8,7,5] => 0010011 => 1
[4,2,5,3,1,8,7,6] => 1011011 => 2
[6,2,4,1,3,8,7,5] => 1010011 => 2
[7,2,1,4,3,8,6,5] => 1101011 => 2
[8,1,2,4,3,7,6,5] => 1001011 => 2
[8,1,3,4,2,7,6,5] => 1001011 => 2
[7,3,1,4,2,8,6,5] => 1101011 => 2
[6,3,4,1,2,8,7,5] => 1010011 => 2
[4,6,3,1,2,8,7,5] => 0110011 => 1
[3,6,4,1,2,8,7,5] => 0110011 => 1
[2,6,4,1,3,8,7,5] => 0110011 => 1
[2,7,1,4,3,8,6,5] => 0101011 => 2
[3,7,1,4,2,8,6,5] => 0101011 => 2
[4,7,1,3,2,8,6,5] => 0101011 => 2
[8,1,6,7,2,3,5,4] => 1001001 => 2
[4,7,1,2,3,8,6,5] => 0100011 => 1
[3,7,1,2,4,8,6,5] => 0100011 => 1
[2,7,1,3,4,8,6,5] => 0100011 => 1
[2,6,3,1,4,8,7,5] => 0110011 => 1
[3,6,2,1,4,8,7,5] => 0110011 => 1
[5,6,2,1,8,3,7,4] => 0110101 => 2
[6,5,2,1,8,3,7,4] => 1110101 => 2
[8,1,5,2,7,3,6,4] => 1010101 => 3
[8,1,4,2,3,7,6,5] => 1010011 => 2
[7,4,1,2,3,8,6,5] => 1100011 => 1
[6,4,2,1,3,8,7,5] => 1110011 => 1
[5,4,2,3,1,8,7,6] => 1101011 => 2
[3,5,2,4,1,8,7,6] => 0101011 => 2
[6,3,2,1,4,8,7,5] => 1110011 => 1
[7,3,1,2,4,8,6,5] => 1100011 => 1
[8,1,3,2,4,7,6,5] => 1010011 => 2
[8,1,2,3,4,7,6,5] => 1000011 => 1
[7,2,1,3,4,8,6,5] => 1100011 => 1
[6,2,3,1,4,8,7,5] => 1010011 => 2
[2,4,3,6,1,5,8,7] => 0101001 => 2
[2,4,3,6,5,8,1,7] => 0101010 => 3
[2,4,6,3,5,8,7,1] => 0010011 => 1
[2,4,6,3,5,8,1,7] => 0010010 => 2
[2,4,6,3,5,1,8,7] => 0010101 => 2
[2,4,6,3,1,5,8,7] => 0011001 => 1
[2,4,1,6,5,3,8,7] => 0101101 => 2
[2,4,6,1,5,3,8,7] => 0010101 => 2
[4,2,6,5,3,1,8,7] => 1011101 => 2
[4,2,6,5,1,3,8,7] => 1011001 => 2
[4,2,6,5,1,8,7,3] => 1011011 => 2
[4,2,6,5,8,1,7,3] => 1010101 => 3
[4,2,6,5,8,1,3,7] => 1010100 => 3
[4,2,6,5,8,3,1,7] => 1010110 => 3
[2,4,6,1,5,8,3,7] => 0010010 => 2
[2,4,1,6,5,8,3,7] => 0101010 => 3
[2,1,4,6,5,8,3,7] => 1001010 => 3
[2,4,1,6,5,8,7,3] => 0101011 => 2
[2,4,6,1,5,8,7,3] => 0010011 => 1
[4,2,6,5,3,8,7,1] => 1011011 => 2
[4,2,6,5,8,3,7,1] => 1010101 => 3
[2,6,4,3,8,7,1,5] => 0110110 => 2
[2,6,4,3,8,7,5,1] => 0110111 => 1
[4,2,6,8,5,3,7,1] => 1001101 => 2
[2,4,6,8,1,5,7,3] => 0001001 => 1
[2,4,6,1,8,5,7,3] => 0010101 => 2
[2,4,1,6,8,5,7,3] => 0100101 => 2
[2,1,4,6,8,5,7,3] => 1000101 => 2
[2,1,4,6,8,5,3,7] => 1000110 => 2
[2,4,1,6,8,5,3,7] => 0100110 => 2
[2,4,6,1,8,5,3,7] => 0010110 => 2
[2,4,6,8,1,5,3,7] => 0001010 => 2
[4,2,6,8,5,3,1,7] => 1001110 => 2
[4,2,6,8,5,1,3,7] => 1001100 => 2
[4,2,6,8,5,1,7,3] => 1001101 => 2
[2,4,6,8,3,5,7,1] => 0001001 => 1
[2,4,6,8,3,5,1,7] => 0001010 => 2
[2,4,6,8,3,1,5,7] => 0001100 => 1
[2,4,6,3,1,8,5,7] => 0011010 => 2
[2,4,6,3,8,1,5,7] => 0010100 => 2
[2,4,6,3,8,5,1,7] => 0010110 => 2
[2,4,6,3,8,5,7,1] => 0010101 => 2
[2,4,3,6,8,5,7,1] => 0100101 => 2
[2,4,3,6,8,5,1,7] => 0100110 => 2
[2,4,3,6,8,1,5,7] => 0100100 => 2
[2,4,3,6,1,8,5,7] => 0101010 => 3
[2,4,3,1,6,8,5,7] => 0110010 => 2
[2,4,1,3,6,8,7,5] => 0100011 => 1
[2,4,3,6,1,8,7,5] => 0101011 => 2
[2,4,3,6,8,1,7,5] => 0100101 => 2
[4,6,5,2,8,7,3,1] => 0110111 => 1
[4,6,5,2,8,7,1,3] => 0110110 => 2
[4,6,2,5,8,7,1,3] => 0100110 => 2
[4,6,2,5,8,7,3,1] => 0100111 => 1
[2,4,6,3,8,1,7,5] => 0010101 => 2
[2,4,6,3,1,8,7,5] => 0011011 => 1
[2,4,1,6,3,8,7,5] => 0101011 => 2
[2,1,4,6,3,8,7,5] => 1001011 => 2
[2,1,4,6,8,3,7,5] => 1000101 => 2
[2,4,1,6,8,3,7,5] => 0100101 => 2
[2,4,6,1,8,3,7,5] => 0010101 => 2
[2,4,6,8,1,3,7,5] => 0001001 => 1
[2,4,6,8,3,1,7,5] => 0001101 => 1
[4,6,2,8,5,7,3,1] => 0101011 => 2
[4,6,2,8,5,7,1,3] => 0101010 => 3
[6,2,4,8,7,1,3,5] => 1001100 => 2
[6,4,2,8,7,5,3,1] => 1101111 => 1
[2,6,4,8,1,7,5,3] => 0101011 => 2
[2,6,4,1,8,7,5,3] => 0110111 => 1
[2,6,1,4,8,7,5,3] => 0100111 => 1
[2,1,6,4,8,7,5,3] => 1010111 => 2
[2,1,6,4,8,7,3,5] => 1010110 => 3
[2,6,1,4,8,7,3,5] => 0100110 => 2
[2,6,4,1,8,7,3,5] => 0110110 => 2
[2,6,4,8,1,7,3,5] => 0101010 => 3
[6,4,2,8,7,5,1,3] => 1101110 => 2
[6,2,4,8,7,3,5,1] => 1001101 => 2
[6,2,4,8,7,3,1,5] => 1001110 => 2
[1,6,4,7,3,8,2,5] => 0101010 => 3
[1,3,7,4,5,8,2,6] => 0010010 => 2
[5,2,4,7,3,6,8,1] => 1001001 => 2
[1,7,6,3,4,8,2,5] => 0110010 => 2
[8,1,6,3,7,2,4,5] => 1010100 => 3
[7,1,6,3,8,2,4,5] => 1010100 => 3
[1,2,7,4,8,3,5,6] => 0010100 => 2
[6,1,7,3,4,8,2,5] => 1010010 => 3
[2,1,7,4,5,8,3,6] => 1010010 => 3
[5,1,4,7,3,8,2,6] => 1001010 => 3
[4,3,1,7,5,8,2,6] => 1101010 => 3
[2,8,6,3,7,1,4,5] => 0110100 => 2
[6,8,1,3,7,2,4,5] => 0100100 => 2
[5,8,2,1,7,3,4,6] => 0110100 => 2
[5,7,2,1,8,3,4,6] => 0110100 => 2
[6,7,1,3,8,2,4,5] => 0100100 => 2
[5,1,2,4,8,3,6,7] => 1000100 => 2
[4,3,6,1,5,8,2,7] => 1010010 => 3
[2,6,1,4,5,8,3,7] => 0100010 => 2
[6,5,1,3,4,8,2,7] => 1100010 => 2
[1,6,2,4,8,3,5,7] => 0100100 => 2
[8,5,1,3,7,2,4,6] => 1100100 => 2
[1,5,3,2,8,4,6,7] => 0110100 => 2
[6,4,2,1,5,8,3,7] => 1110010 => 2
[2,5,3,4,1,8,6,7] => 0101010 => 3
[4,3,5,2,1,8,6,7] => 1011010 => 3
[2,6,4,8,7,1,3,5] => 0101100 => 2
[1,6,4,8,7,2,3,5] => 0101100 => 2
[2,7,8,3,6,1,4,5] => 0010100 => 2
[4,3,2,8,7,1,5,6] => 1101100 => 2
[5,2,4,8,7,1,3,6] => 1001100 => 2
[6,2,8,3,7,1,4,5] => 1010100 => 3
[5,1,4,8,7,2,3,6] => 1001100 => 2
[4,8,2,5,1,3,7,6] => 0101001 => 2
[4,7,2,5,1,3,8,6] => 0101001 => 2
[3,7,2,1,5,4,8,6] => 0110101 => 2
[3,8,2,1,5,4,7,6] => 0110101 => 2
[8,3,2,1,5,4,6,7] => 1110100 => 2
[8,3,2,1,6,4,5,7] => 1110100 => 2
[8,4,2,5,1,6,3,7] => 1101010 => 3
[8,3,2,1,5,6,4,7] => 1110010 => 2
[8,3,2,1,4,6,5,7] => 1110010 => 2
[3,8,2,1,4,5,7,6] => 0110001 => 1
[3,7,2,1,4,5,8,6] => 0110001 => 1
[3,2,7,1,4,6,8,5] => 1010001 => 2
[3,2,8,1,4,6,7,5] => 1010001 => 2
[3,2,8,1,4,7,6,5] => 1010011 => 2
[3,8,2,1,4,7,5,6] => 0110010 => 2
[3,8,2,1,5,7,4,6] => 0110010 => 2
[4,8,2,5,1,7,3,6] => 0101010 => 3
[4,7,2,5,1,8,3,6] => 0101010 => 3
[3,7,2,1,5,8,4,6] => 0110010 => 2
[3,7,2,1,4,8,5,6] => 0110010 => 2
[3,2,1,7,5,8,6,4] => 1101011 => 2
[3,2,7,1,6,8,4,5] => 1010010 => 3
[4,2,7,6,1,8,3,5] => 1011010 => 3
[4,3,7,6,8,1,2,5] => 1010100 => 3
[4,3,8,6,7,1,2,5] => 1010100 => 3
[4,2,8,6,1,7,3,5] => 1011010 => 3
[3,2,8,1,6,7,4,5] => 1010010 => 3
[3,2,1,8,7,5,6,4] => 1101101 => 2
[3,8,2,1,7,4,5,6] => 0110100 => 2
[3,2,8,1,7,4,6,5] => 1010101 => 3
[3,2,8,1,6,4,7,5] => 1010101 => 3
[3,2,7,1,6,4,8,5] => 1010101 => 3
[4,2,7,6,1,3,8,5] => 1011001 => 2
[4,2,8,6,1,3,7,5] => 1011001 => 2
[4,2,8,7,1,3,6,5] => 1011001 => 2
[5,7,8,3,4,1,2,6] => 0010100 => 2
[4,2,7,8,1,3,6,5] => 1001001 => 2
[4,2,6,8,1,3,7,5] => 1001001 => 2
[4,2,6,7,1,3,8,5] => 1001001 => 2
[3,2,6,1,8,4,7,5] => 1010101 => 3
[3,7,2,1,8,4,5,6] => 0110100 => 2
[3,7,2,1,8,5,4,6] => 0110110 => 2
[4,7,3,8,5,1,2,6] => 0101100 => 2
[4,3,7,8,6,1,2,5] => 1001100 => 2
[3,2,7,1,8,6,4,5] => 1010110 => 3
[3,2,1,6,8,5,7,4] => 1100101 => 2
[3,2,6,1,8,7,4,5] => 1010110 => 3
[4,2,6,8,1,7,3,5] => 1001010 => 3
[4,3,6,8,7,1,2,5] => 1001100 => 2
[4,2,6,7,1,8,3,5] => 1001010 => 3
[3,2,6,1,7,8,4,5] => 1010010 => 3
[3,4,6,8,7,5,1,2] => 0001110 => 1
[5,3,6,4,8,7,1,2] => 1010110 => 3
[1,4,6,2,7,8,5,3] => 0010011 => 1
[3,1,8,5,4,2,6,7] => 1011100 => 2
[1,2,7,5,4,8,6,3] => 0011011 => 1
[6,3,7,5,4,8,1,2] => 1011010 => 3
[7,3,8,5,4,6,1,2] => 1011010 => 3
[3,8,7,5,4,6,1,2] => 0111010 => 2
[4,3,6,7,8,5,1,2] => 1000110 => 2
[4,5,6,3,8,7,1,2] => 0010110 => 2
[3,6,8,5,4,7,1,2] => 0011010 => 2
[6,8,3,5,4,7,1,2] => 0101010 => 3
[7,6,3,5,4,8,1,2] => 1101010 => 3
[1,6,2,5,4,8,7,3] => 0101011 => 2
[7,1,2,5,8,3,6,4] => 1000101 => 2
[1,8,2,5,7,3,6,4] => 0100101 => 2
[6,2,1,5,4,8,7,3] => 1101011 => 2
[4,1,6,2,8,7,5,3] => 1010111 => 2
[7,8,1,2,4,6,5,3] => 0100011 => 1
[7,8,3,1,4,2,6,5] => 0110101 => 2
[4,3,6,1,8,2,7,5] => 1010101 => 3
[2,3,8,5,4,1,6,7] => 0011100 => 1
[4,8,1,5,2,3,7,6] => 0101001 => 2
[7,5,1,6,4,3,2,8] => 1101110 => 2
[5,8,1,6,4,3,2,7] => 0101110 => 2
[6,1,5,7,4,3,2,8] => 1001110 => 2
[1,5,8,6,4,3,2,7] => 0011110 => 1
[3,4,6,1,5,8,2,7] => 0010010 => 2
[7,8,4,1,5,3,2,6] => 0110110 => 2
[7,8,5,1,6,3,2,4] => 0110110 => 2
[2,6,1,5,7,3,8,4] => 0100101 => 2
[1,6,8,7,4,3,2,5] => 0011110 => 1
[6,8,1,7,4,3,2,5] => 0101110 => 2
[5,6,1,7,4,3,2,8] => 0101110 => 2
[5,1,7,6,4,3,2,8] => 1011110 => 2
[6,1,7,8,4,3,2,5] => 1001110 => 2
[7,1,8,6,4,3,2,5] => 1011110 => 2
[1,8,7,6,4,3,2,5] => 0111110 => 1
[2,1,7,5,6,3,8,4] => 1010101 => 3
[3,1,6,7,5,8,2,4] => 1001010 => 3
[7,8,1,6,5,3,2,4] => 0101110 => 2
[7,8,2,1,4,5,6,3] => 0110001 => 1
[2,8,1,5,4,6,7,3] => 0101001 => 2
[7,2,1,5,4,6,8,3] => 1101001 => 2
[1,2,8,5,6,3,7,4] => 0010101 => 2
[6,1,2,5,7,3,8,4] => 1000101 => 2
[4,2,1,5,6,3,7,8] => 1100100 => 2
[4,3,6,1,5,7,2,8] => 1010010 => 3
[5,1,6,3,7,8,2,4] => 1010010 => 3
[1,3,6,8,5,7,2,4] => 0001010 => 2
[2,4,6,3,7,1,8,5] => 0010101 => 2
[1,3,6,4,8,7,2,5] => 0010110 => 2
[4,1,6,7,3,8,2,5] => 1001010 => 3
[5,4,6,1,3,7,2,8] => 1010010 => 3
[6,4,1,5,2,3,7,8] => 1101000 => 2
[4,1,7,5,2,3,8,6] => 1011001 => 2
[1,2,4,5,8,3,7,6] => 0000101 => 1
[7,2,3,5,4,1,8,6] => 1001101 => 2
[2,8,3,5,4,1,7,6] => 0101101 => 2
[4,2,6,3,8,1,7,5] => 1010101 => 3
[7,8,2,3,4,1,6,5] => 0100101 => 2
[7,8,1,4,6,3,2,5] => 0100110 => 2
[3,1,6,4,7,8,2,5] => 1010010 => 3
[1,8,5,7,4,3,2,6] => 0101110 => 2
[7,1,5,8,4,3,2,6] => 1001110 => 2
[5,1,8,7,4,3,2,6] => 1011110 => 2
[6,5,1,8,4,3,2,7] => 1101110 => 2
[6,5,7,1,4,3,2,8] => 1010110 => 3
[7,5,8,1,4,3,2,6] => 1010110 => 3
[5,8,7,1,4,3,2,6] => 0110110 => 2
[1,5,7,8,4,3,2,6] => 0001110 => 1
[2,4,7,5,1,3,8,6] => 0011001 => 1
[7,8,4,6,1,3,2,5] => 0101010 => 3
[7,8,5,4,1,3,2,6] => 0111010 => 2
[3,5,6,4,1,8,2,7] => 0011010 => 2
[2,6,4,5,1,3,8,7] => 0101001 => 2
[1,6,5,8,4,3,2,7] => 0101110 => 2
[6,8,5,1,4,3,2,7] => 0110110 => 2
[7,6,5,1,4,3,2,8] => 1110110 => 2
[1,2,3,4,5,6,9,7,8] => 00000010 => 1
[1,2,3,4,5,8,6,9,7] => 00000101 => 1
[1,2,3,4,7,5,8,9,6] => 00001001 => 1
[1,2,3,6,4,7,8,9,5] => 00010001 => 1
[1,2,5,3,6,7,8,9,4] => 00100001 => 1
[1,4,2,5,6,7,8,9,3] => 01000001 => 1
[9,8,1,2,3,4,5,6,7] => 11000000 => 1
[7,8,9,1,2,3,4,5,6] => 00100000 => 1
[9,8,7,1,2,3,4,5,6] => 11100000 => 1
[6,7,8,9,1,2,3,4,5] => 00010000 => 1
[9,6,7,8,1,2,3,4,5] => 10010000 => 2
[8,9,6,7,1,2,3,4,5] => 01010000 => 2
[9,8,6,7,1,2,3,4,5] => 11010000 => 2
[9,8,7,6,1,2,3,4,5] => 11110000 => 1
[9,5,6,7,8,1,2,3,4] => 10001000 => 2
[8,9,5,6,7,1,2,3,4] => 01001000 => 2
[9,8,5,6,7,1,2,3,4] => 11001000 => 2
[9,7,8,5,6,1,2,3,4] => 10101000 => 3
[9,8,7,5,6,1,2,3,4] => 11101000 => 2
[9,8,7,6,5,1,2,3,4] => 11111000 => 1
[7,8,9,4,5,6,1,2,3] => 00100100 => 2
[9,7,8,4,5,6,1,2,3] => 10100100 => 3
[9,8,7,4,5,6,1,2,3] => 11100100 => 2
[8,9,6,7,4,5,1,2,3] => 01010100 => 3
[9,8,6,7,4,5,1,2,3] => 11010100 => 3
[9,8,7,6,4,5,1,2,3] => 11110100 => 2
[9,8,7,6,5,4,1,2,3] => 11111100 => 1
[9,7,8,5,6,3,4,1,2] => 10101010 => 4
[9,8,7,5,6,3,4,1,2] => 11101010 => 3
[9,8,7,6,5,3,4,1,2] => 11111010 => 2
[9,8,7,6,5,4,3,1,2] => 11111110 => 1
[9,10,1,2,3,4,5,6,7,8] => 010000000 => 1
[8,9,10,1,2,3,4,5,6,7] => 001000000 => 1
[10,8,9,1,2,3,4,5,6,7] => 101000000 => 2
[10,9,8,1,2,3,4,5,6,7] => 111000000 => 1
[7,8,9,10,1,2,3,4,5,6] => 000100000 => 1
[10,7,8,9,1,2,3,4,5,6] => 100100000 => 2
[9,10,7,8,1,2,3,4,5,6] => 010100000 => 2
[10,9,7,8,1,2,3,4,5,6] => 110100000 => 2
[10,9,8,7,1,2,3,4,5,6] => 111100000 => 1
[10,6,7,8,9,1,2,3,4,5] => 100010000 => 2
[9,10,6,7,8,1,2,3,4,5] => 010010000 => 2
[10,9,6,7,8,1,2,3,4,5] => 110010000 => 2
[10,8,9,6,7,1,2,3,4,5] => 101010000 => 3
[10,9,8,6,7,1,2,3,4,5] => 111010000 => 2
[10,9,8,7,6,1,2,3,4,5] => 111110000 => 1
[9,10,5,6,7,8,1,2,3,4] => 010001000 => 2
[10,9,5,6,7,8,1,2,3,4] => 110001000 => 2
[8,9,10,5,6,7,1,2,3,4] => 001001000 => 2
[10,9,8,5,6,7,1,2,3,4] => 111001000 => 2
[9,10,7,8,5,6,1,2,3,4] => 010101000 => 3
[10,9,7,8,5,6,1,2,3,4] => 110101000 => 3
[10,9,8,7,5,6,1,2,3,4] => 111101000 => 2
[10,9,8,7,6,5,1,2,3,4] => 111111000 => 1
[10,7,8,9,4,5,6,1,2,3] => 100100100 => 3
[9,10,7,8,4,5,6,1,2,3] => 010100100 => 3
[10,9,7,8,4,5,6,1,2,3] => 110100100 => 3
[10,9,8,7,4,5,6,1,2,3] => 111100100 => 2
[10,8,9,6,7,4,5,1,2,3] => 101010100 => 4
[10,9,8,6,7,4,5,1,2,3] => 111010100 => 3
[10,9,8,7,6,4,5,1,2,3] => 111110100 => 2
[10,9,8,7,6,5,4,1,2,3] => 111111100 => 1
[9,10,7,8,5,6,3,4,1,2] => 010101010 => 4
[10,9,7,8,5,6,3,4,1,2] => 110101010 => 4
[10,9,8,7,5,6,3,4,1,2] => 111101010 => 3
[10,9,8,7,6,5,3,4,1,2] => 111111010 => 2
[10,9,8,7,6,5,4,3,1,2] => 111111110 => 1
[3,4,6,2,7,1,5,8] => 0010100 => 2
[3,6,2,5,4,1,7,8] => 0101100 => 2
[3,2,7,5,4,1,6,8] => 1011100 => 2
[4,3,6,2,8,1,5,7] => 1010100 => 3
[6,1,2,5,4,7,8,3] => 1001001 => 2
[6,2,4,5,1,3,7,8] => 1001000 => 2
[4,2,8,5,1,3,7,6] => 1011001 => 2
[4,3,6,8,1,7,2,5] => 1001010 => 3
[5,3,6,4,1,7,2,8] => 1011010 => 3
[6,2,1,5,8,3,7,4] => 1100101 => 2
[1,6,7,4,8,3,5,2] => 0010101 => 2
[1,4,6,3,7,5,8,2] => 0010101 => 2
[4,6,7,2,5,8,1,3] => 0010010 => 2
[2,4,6,1,7,5,3,8] => 0010110 => 2
[2,7,5,4,1,6,3,8] => 0111010 => 2
[7,5,4,6,2,8,1,3] => 1101010 => 3
[1,7,5,4,3,8,6,2] => 0111011 => 1
[1,4,6,3,5,8,7,2] => 0010011 => 1
[1,5,8,4,3,6,7,2] => 0011001 => 1
[5,4,6,2,7,8,1,3] => 1010010 => 3
[2,5,4,1,6,7,3,8] => 0110010 => 2
[5,6,3,2,7,1,4,8] => 0110100 => 2
[5,6,3,2,7,1,8,4] => 0110101 => 2
[8,5,6,3,2,7,1,4] => 1011010 => 3
[5,4,6,2,8,1,7,3] => 1010101 => 3
[2,4,1,7,8,5,3,6] => 0100110 => 2
[2,5,4,1,6,3,8,7] => 0110101 => 2
[5,6,3,2,1,8,4,7] => 0111010 => 2
[3,5,2,1,6,4,7,8] => 0110100 => 2
[6,8,4,3,2,1,5,7] => 0111100 => 1
[5,3,8,2,1,6,4,7] => 1011010 => 3
[3,7,5,8,2,1,4,6] => 0101100 => 2
[7,3,2,8,5,1,6,4] => 1101101 => 2
[8,4,6,3,2,1,7,5] => 1011101 => 2
[8,6,4,3,2,1,7,5] => 1111101 => 1
[7,6,4,3,2,1,8,5] => 1111101 => 1
[7,8,4,3,2,1,6,5] => 0111101 => 1
[5,4,7,2,1,8,6,3] => 1011011 => 2
[7,5,8,3,2,6,1,4] => 1011010 => 3
[5,7,3,2,1,6,8,4] => 0111001 => 1
[5,7,3,2,1,6,4,8] => 0111010 => 2
[6,3,7,2,5,1,8,4] => 1010101 => 3
[6,7,8,3,5,2,1,4] => 0010110 => 2
[6,2,5,7,8,4,1,3] => 1000110 => 2
[2,1,5,7,8,6,3,4] => 1000110 => 2
[3,6,7,2,8,1,4,5] => 0010100 => 2
[6,3,7,2,8,1,4,5] => 1010100 => 3
[3,2,6,1,7,4,5,8] => 1010100 => 3
[3,5,2,1,4,7,6,8] => 0110010 => 2
[7,3,5,2,1,8,4,6] => 1011010 => 3
[2,5,4,1,3,7,8,6] => 0110001 => 1
[2,5,8,4,1,3,7,6] => 0011001 => 1
[2,4,1,7,8,3,6,5] => 0100101 => 2
[3,7,2,8,6,1,4,5] => 0101100 => 2
[3,6,8,2,1,7,4,5] => 0011010 => 2
[5,3,8,2,1,4,7,6] => 1011001 => 2
[4,8,7,3,2,1,5,6] => 0111100 => 1
[4,7,3,2,1,5,6,8] => 0111000 => 1
[8,4,7,3,2,1,5,6] => 1011100 => 2
[8,3,5,2,1,4,7,6] => 1011001 => 2
[7,3,2,8,6,1,4,5] => 1101100 => 2
[3,5,2,1,4,6,8,7] => 0110001 => 1
[7,8,6,5,4,3,2,1,9] => 01111110 => 1
[1,8,9,7,6,5,4,3,2] => 00111111 => 0
[8,9,7,6,5,4,3,2,1,10] => 011111110 => 1
[7,6,8,5,4,3,2,1,9] => 10111110 => 2
[6,8,7,5,4,3,2,1,9] => 01111110 => 1
[1,8,7,9,6,5,4,3,2] => 01011111 => 1
[1,7,9,8,6,5,4,3,2] => 00111111 => 0
[1,9,10,8,7,6,5,4,3,2] => 001111111 => 0
[7,8,3,5,4,6,1,2] => 0101010 => 3
[8,6,3,7,5,2,4,1] => 1101101 => 2
[5,4,1,6,3,2,8,7] => 1101101 => 2
[5,4,1,6,2,3,8,7] => 1101001 => 2
[5,7,1,6,2,8,3,4] => 0101010 => 3
[5,7,1,6,2,8,4,3] => 0101011 => 2
[2,7,6,5,1,8,3,4] => 0111010 => 2
[2,7,6,5,1,8,4,3] => 0111011 => 1
[2,3,6,5,1,4,8,7] => 0011001 => 1
[2,3,6,4,1,5,8,7] => 0011001 => 1
[2,3,6,1,5,4,8,7] => 0010101 => 2
[2,7,6,1,4,8,5,3] => 0110011 => 1
[2,7,6,1,4,8,3,5] => 0110010 => 2
[7,3,5,1,8,4,2,6] => 1010110 => 3
[7,3,5,1,8,6,4,2] => 1010111 => 2
[2,7,6,1,5,8,4,3] => 0110011 => 1
[2,7,6,4,1,8,5,3] => 0111011 => 1
[2,1,7,6,3,8,5,4] => 1011011 => 2
[2,1,7,6,3,8,4,5] => 1011010 => 3
[5,7,3,6,2,8,4,1] => 0101011 => 2
[2,7,6,4,1,8,3,5] => 0111010 => 2
[7,3,5,1,8,6,2,4] => 1010110 => 3
[6,3,5,1,8,2,4,7] => 1010100 => 3
[2,3,4,8,7,6,1,5] => 0001110 => 1
[2,3,4,8,5,7,1,6] => 0001010 => 2
[7,3,5,4,8,1,2,6] => 1010100 => 3
[6,4,3,5,8,7,2,1] => 1100111 => 1
[2,1,4,5,8,7,3,6] => 1000110 => 2
[6,4,3,5,8,7,1,2] => 1100110 => 2
[7,3,5,4,8,1,6,2] => 1010101 => 3
[2,3,4,8,7,5,6,1] => 0001101 => 1
[2,3,4,8,7,5,1,6] => 0001110 => 1
[2,7,6,5,4,8,1,3] => 0111010 => 2
[7,3,5,6,8,4,1,2] => 1000110 => 2
[7,3,5,6,8,1,4,2] => 1000101 => 2
[7,3,5,6,8,1,2,4] => 1000100 => 2
[6,4,1,5,8,7,2,3] => 1100110 => 2
[6,4,1,5,8,7,3,2] => 1100111 => 1
[6,4,1,5,8,3,7,2] => 1100101 => 2
[5,7,1,6,3,8,2,4] => 0101010 => 3
[6,4,1,5,8,3,2,7] => 1100110 => 2
[7,4,1,5,8,2,3,6] => 1100100 => 2
[7,4,1,5,8,2,6,3] => 1100101 => 2
[6,3,5,7,8,2,1,4] => 1000110 => 2
[6,3,5,7,8,2,4,1] => 1000101 => 2
[2,7,6,4,5,8,3,1] => 0110011 => 1
[5,7,3,6,1,8,4,2] => 0101011 => 2
[2,1,4,5,8,6,3,7] => 1000110 => 2
[7,3,5,4,8,6,2,1] => 1010111 => 2
[2,3,4,8,5,6,1,7] => 0001010 => 2
[2,3,4,8,7,1,6,5] => 0001101 => 1
[2,3,4,8,1,7,6,5] => 0001011 => 1
[2,3,4,8,1,6,7,5] => 0001001 => 1
[2,3,4,8,5,1,7,6] => 0001101 => 1
[6,3,5,4,8,2,7,1] => 1010101 => 3
[7,4,3,5,8,2,1,6] => 1100110 => 2
[2,1,4,5,8,3,7,6] => 1000101 => 2
[7,4,3,5,8,2,6,1] => 1100101 => 2
[6,3,5,4,8,2,1,7] => 1010110 => 3
[2,3,4,8,5,1,6,7] => 0001100 => 1
[2,3,4,8,1,6,5,7] => 0001010 => 2
[2,3,4,8,1,5,7,6] => 0001001 => 1
[7,8,2,6,1,5,3,4] => 0101010 => 3
[7,8,1,6,2,5,3,4] => 0101010 => 3
[1,8,6,7,2,5,3,4] => 0101010 => 3
[1,8,5,7,2,6,3,4] => 0101010 => 3
[5,8,1,7,2,6,3,4] => 0101010 => 3
[5,8,2,7,1,6,3,4] => 0101010 => 3
[2,8,6,7,1,5,3,4] => 0101010 => 3
[2,8,5,7,1,6,3,4] => 0101010 => 3
[2,8,1,7,5,6,3,4] => 0101010 => 3
[1,8,2,7,5,6,3,4] => 0101010 => 3
[1,8,2,7,4,6,3,5] => 0101010 => 3
[2,8,1,7,4,6,3,5] => 0101010 => 3
[2,8,4,7,1,6,3,5] => 0101010 => 3
[4,8,2,7,1,6,3,5] => 0101010 => 3
[4,8,1,7,2,6,3,5] => 0101010 => 3
[1,8,4,7,2,6,3,5] => 0101010 => 3
[4,8,1,7,5,6,2,3] => 0101010 => 3
[1,8,4,7,5,6,2,3] => 0101010 => 3
[1,8,3,7,5,6,2,4] => 0101010 => 3
[3,8,1,7,5,6,2,4] => 0101010 => 3
[3,8,1,7,4,6,2,5] => 0101010 => 3
[1,8,3,7,4,6,2,5] => 0101010 => 3
[1,8,3,7,2,6,4,5] => 0101010 => 3
[3,8,1,7,2,6,4,5] => 0101010 => 3
[3,8,2,7,1,6,4,5] => 0101010 => 3
[3,8,2,7,4,6,1,5] => 0101010 => 3
[3,8,2,7,5,6,1,4] => 0101010 => 3
[4,8,2,7,5,6,1,3] => 0101010 => 3
[4,8,3,7,5,6,1,2] => 0101010 => 3
[3,8,4,7,5,6,1,2] => 0101010 => 3
[2,8,4,7,5,6,1,3] => 0101010 => 3
[2,8,3,7,5,6,1,4] => 0101010 => 3
[2,8,3,7,4,6,1,5] => 0101010 => 3
[2,8,3,7,1,6,4,5] => 0101010 => 3
[2,8,1,7,3,6,4,5] => 0101010 => 3
[7,5,2,8,6,4,1,3] => 1101110 => 2
[7,5,1,8,6,2,3,4] => 1101100 => 2
[7,4,8,6,1,5,2,3] => 1011010 => 3
[7,1,8,4,5,2,6,3] => 1010101 => 3
[6,8,1,7,4,2,5,3] => 0101101 => 2
[1,6,7,4,2,8,5,3] => 0011011 => 1
[1,6,7,3,8,5,2,4] => 0010110 => 2
[7,1,8,3,5,6,2,4] => 1010010 => 3
[7,3,8,6,2,5,1,4] => 1011010 => 3
[7,4,2,8,6,1,3,5] => 1101100 => 2
[7,3,1,8,4,2,5,6] => 1101100 => 2
[7,2,8,4,1,5,3,6] => 1011010 => 3
[7,2,8,3,5,1,6,4] => 1010101 => 3
[7,2,8,3,4,6,1,5] => 1010010 => 3
[1,5,7,8,2,6,3,4] => 0001010 => 2
[6,2,3,8,5,7,4,1] => 1001011 => 2
[6,2,4,8,5,3,1,7] => 1001110 => 2
[6,3,1,4,8,5,2,7] => 1100110 => 2
[2,6,3,7,8,5,4,1] => 0100111 => 1
[2,6,3,7,8,4,5,1] => 0100101 => 2
[2,4,7,3,5,6,8,1] => 0010001 => 1
[2,4,7,3,6,8,5,1] => 0010011 => 1
[2,5,3,7,8,1,6,4] => 0100101 => 2
[3,1,5,4,7,8,2,6] => 1010010 => 3
[5,3,1,4,8,2,6,7] => 1100100 => 2
[5,2,4,8,6,1,3,7] => 1001100 => 2
[5,2,3,8,4,6,7,1] => 1001001 => 2
[4,8,2,3,6,1,7,5] => 0100101 => 2
[4,8,2,3,5,7,1,6] => 0100010 => 2
[1,4,7,8,3,6,2,5] => 0001010 => 2
[4,8,1,3,6,7,2,5] => 0100010 => 2
[5,3,8,2,4,7,1,6] => 1010010 => 3
[5,4,3,8,1,2,7,6] => 1101001 => 2
[6,4,2,8,1,3,7,5] => 1101001 => 2
[6,3,8,2,5,1,7,4] => 1010101 => 3
[6,3,8,1,4,7,2,5] => 1010010 => 3
[5,8,1,3,6,2,7,4] => 0100101 => 2
[1,5,7,4,2,6,8,3] => 0011001 => 1
[5,8,1,4,2,6,3,7] => 0101010 => 3
[5,8,4,1,2,7,6,3] => 0110011 => 1
[6,5,1,2,8,7,3,4] => 1100110 => 2
[6,5,3,1,4,2,8,7] => 1110101 => 2
[5,3,1,6,4,2,7,8] => 1101100 => 2
[5,2,6,4,1,7,3,8] => 1011010 => 3
[4,6,1,7,5,2,8,3] => 0101101 => 2
[4,5,1,7,2,6,3,8] => 0101010 => 3
[3,5,6,1,2,8,7,4] => 0010011 => 1
[3,5,7,1,8,6,2,4] => 0010110 => 2
[3,6,2,7,5,1,8,4] => 0101101 => 2
[4,2,5,7,1,8,6,3] => 1001011 => 2
[3,4,7,2,8,6,1,5] => 0010110 => 2
[3,4,5,8,2,7,1,6] => 0001010 => 2
[3,4,6,2,8,1,5,7] => 0010100 => 2
[3,5,2,6,8,1,7,4] => 0100101 => 2
[4,2,5,6,1,3,8,7] => 1001001 => 2
[4,3,1,2,5,6,8,7] => 1100001 => 1
[5,3,6,8,4,7,2,1] => 1001011 => 2
[3,7,2,5,4,8,6,1] => 0101011 => 2
[8,4,2,5,7,3,6,1] => 1100101 => 2
[3,1,6,5,4,8,2,7] => 1011010 => 3
[4,1,6,5,8,3,2,7] => 1010110 => 3
[5,1,6,8,4,3,2,7] => 1001110 => 2
[8,5,4,7,6,3,2,1] => 1101111 => 1
[2,7,1,5,4,3,8,6] => 0101101 => 2
[8,2,1,5,4,3,7,6] => 1101101 => 2
[8,4,1,5,7,3,2,6] => 1100110 => 2
[8,4,6,1,7,3,2,5] => 1010110 => 3
[8,3,6,1,4,7,2,5] => 1010010 => 3
[2,7,6,1,4,3,8,5] => 0110101 => 2
[6,7,8,5,1,3,2,4] => 0011010 => 2
[5,7,2,8,4,3,6,1] => 0101101 => 2
[6,7,8,2,4,3,5,1] => 0010101 => 2
[4,7,6,2,8,3,5,1] => 0110101 => 2
[8,3,6,2,4,7,5,1] => 1010011 => 2
[3,7,6,2,4,8,5,1] => 0110011 => 1
[5,7,3,8,4,6,2,1] => 0101011 => 2
[4,7,3,5,8,6,2,1] => 0100111 => 1
[8,7,2,1,4,3,6,5] => 1110101 => 2
[8,7,3,1,4,6,2,5] => 1110010 => 2
[8,7,6,3,2,5,4,1] => 1111011 => 1
[8,7,3,5,1,6,2,4] => 1101010 => 3
[8,7,2,5,1,3,6,4] => 1101001 => 2
[8,4,6,5,7,1,2,3] => 1010100 => 3
[4,7,6,5,8,1,2,3] => 0110100 => 2
[3,7,6,5,1,8,2,4] => 0111010 => 2
[8,1,2,3,4,5,6,7,9] => 10000000 => 1
[1,9,2,3,4,5,6,7,8] => 01000000 => 1
[9,1,2,3,4,5,6,7,8,10] => 100000000 => 1
[7,8,1,2,3,4,5,6,9] => 01000000 => 1
[1,8,9,2,3,4,5,6,7] => 00100000 => 1
[1,10,2,3,4,5,6,7,8,9] => 010000000 => 1
[10,1,2,3,4,5,6,7,8,9,11] => 1000000000 => 1
[8,9,1,2,3,4,5,6,7,10] => 010000000 => 1
[7,1,8,2,3,4,5,6,9] => 10100000 => 2
[6,8,1,2,3,4,5,7,9] => 01000000 => 1
[1,8,2,9,3,4,5,6,7] => 01010000 => 2
[1,7,9,2,3,4,5,6,8] => 00100000 => 1
[1,9,10,2,3,4,5,6,7,8] => 001000000 => 1
[1,11,2,3,4,5,6,7,8,9,10] => 0100000000 => 1
[3,6,4,8,7,5,1,2] => 0101110 => 2
[5,6,4,3,8,7,1,2] => 0110110 => 2
[1,6,2,4,7,8,5,3] => 0100011 => 1
[3,6,2,4,8,1,5,7] => 0100100 => 2
[3,4,7,2,8,1,6,5] => 0010101 => 2
[1,4,7,2,5,8,6,3] => 0010011 => 1
[7,3,8,4,5,6,1,2] => 1010010 => 3
[3,5,6,4,8,7,1,2] => 0010110 => 2
[4,6,8,5,3,7,1,2] => 0011010 => 2
[6,8,5,3,4,7,1,2] => 0110010 => 2
[1,6,5,4,2,8,7,3] => 0111011 => 1
[1,8,5,2,7,3,6,4] => 0110101 => 2
[4,2,7,5,1,8,6,3] => 1011011 => 2
[7,8,1,4,2,6,5,3] => 0101011 => 2
[1,3,6,4,8,2,5,7] => 0010100 => 2
[4,1,7,5,3,2,6,8] => 1011100 => 2
[6,5,1,3,4,2,8,7] => 1100101 => 2
[4,8,5,3,1,7,2,6] => 0111010 => 2
[7,4,5,3,2,8,1,6] => 1011010 => 3
[5,8,3,6,1,4,2,7] => 0101010 => 3
[2,5,8,6,4,1,3,7] => 0011100 => 1
[1,4,6,2,5,8,3,7] => 0010010 => 2
[3,6,2,5,8,1,7,4] => 0100101 => 2
[1,6,8,7,4,2,3,5] => 0011100 => 1
[6,1,7,8,2,4,3,5] => 1001010 => 3
[7,1,8,6,3,4,2,5] => 1011010 => 3
[7,2,1,4,5,6,8,3] => 1100001 => 1
[1,2,8,3,6,5,7,4] => 0010101 => 2
[6,1,3,2,7,5,8,4] => 1010101 => 3
[1,6,3,8,5,7,2,4] => 0101010 => 3
[2,6,4,1,7,5,8,3] => 0110101 => 2
[7,6,5,8,1,4,2,3] => 1101010 => 3
[5,8,6,7,3,2,1,4] => 0101110 => 2
[1,6,4,3,7,2,8,5] => 0110101 => 2
[2,6,3,4,8,7,1,5] => 0100110 => 2
[7,1,3,4,5,2,8,6] => 1000101 => 2
[1,8,3,5,4,2,7,6] => 0101101 => 2
[4,1,6,3,8,2,7,5] => 1010101 => 3
[7,8,2,4,6,3,1,5] => 0100110 => 2
[3,2,6,4,7,8,1,5] => 1010010 => 3
[2,8,5,7,4,3,1,6] => 0101110 => 2
[7,2,5,8,3,4,1,6] => 1001010 => 3
[5,3,8,7,1,2,6,4] => 1011001 => 2
[6,5,3,8,2,1,7,4] => 1101101 => 2
[7,5,8,4,1,2,3,6] => 1011000 => 2
[5,8,7,4,1,3,2,6] => 0111010 => 2
[3,5,7,8,4,1,2,6] => 0001100 => 1
[1,4,7,5,3,8,2,6] => 0011010 => 2
[2,4,6,7,3,1,8,5] => 0001101 => 1
[7,8,4,6,3,1,2,5] => 0101100 => 2
[2,6,4,5,3,8,1,7] => 0101010 => 3
[3,6,5,8,4,2,1,7] => 0101110 => 2
[5,6,8,4,2,3,1,7] => 0011010 => 2
[6,8,5,4,3,1,2,7] => 0111100 => 1
[6,1,4,2,8,5,7,3] => 1010101 => 3
[4,8,6,5,3,2,7,1] => 0111101 => 1
[8,6,5,1,2,4,7,3] => 1110001 => 1
[6,7,5,8,2,1,4,3] => 0101101 => 2
[1,7,5,8,2,6,4,3] => 0101011 => 2
[1,3,8,5,7,6,2,4] => 0010110 => 2
[6,3,8,5,7,1,2,4] => 1010100 => 3
[8,3,1,5,6,2,7,4] => 1100101 => 2
[6,8,5,2,1,4,7,3] => 0111001 => 1
[3,8,2,5,6,1,7,4] => 0100101 => 2
[2,8,1,5,6,3,7,4] => 0100101 => 2
[8,1,2,5,6,3,7,4] => 1000101 => 2
[1,8,2,5,7,6,3,4] => 0100110 => 2
[5,1,8,6,2,7,3,4] => 1011010 => 3
[2,5,8,6,1,7,3,4] => 0011010 => 2
[8,6,1,5,7,2,3,4] => 1100100 => 2
[3,8,6,5,7,1,2,4] => 0110100 => 2
[7,6,5,8,1,2,4,3] => 1101001 => 2
[5,1,7,6,8,4,2,3] => 1010110 => 3
[5,1,3,7,8,6,2,4] => 1000110 => 2
[7,2,5,8,1,6,4,3] => 1001011 => 2
[3,2,8,5,7,6,1,4] => 1010110 => 3
[8,2,1,5,7,6,3,4] => 1100110 => 2
[5,2,8,6,1,7,3,4] => 1011010 => 3
[1,2,8,6,5,7,3,4] => 0011010 => 2
[4,2,1,3,6,7,8,5] => 1100001 => 1
[8,2,5,6,3,7,1,4] => 1001010 => 3
[7,2,6,5,4,1,8,3] => 1011101 => 2
[6,1,3,5,4,7,8,2] => 1001001 => 2
[6,1,5,3,4,7,8,2] => 1010001 => 2
[7,5,6,2,4,1,8,3] => 1010101 => 3
[8,5,2,6,3,7,1,4] => 1101010 => 3
[4,3,1,2,6,7,8,5] => 1100001 => 1
[8,1,6,5,7,3,2,4] => 1010110 => 3
[3,5,8,6,2,7,1,4] => 0011010 => 2
[5,8,1,6,3,7,2,4] => 0101010 => 3
[1,8,5,6,3,7,2,4] => 0101010 => 3
[1,7,6,5,4,2,8,3] => 0111101 => 1
[5,7,6,1,4,2,8,3] => 0110101 => 2
[7,1,4,2,6,5,8,3] => 1010101 => 3
[4,1,7,3,5,6,8,2] => 1010001 => 2
[2,7,4,1,5,6,8,3] => 0110001 => 1
[5,7,6,4,1,2,8,3] => 0111001 => 1
[4,7,6,1,5,2,8,3] => 0110101 => 2
[1,7,6,4,5,2,8,3] => 0110101 => 2
[1,8,3,6,5,7,2,4] => 0101010 => 3
[3,8,1,6,5,7,2,4] => 0101010 => 3
[8,1,3,5,7,6,2,4] => 1000110 => 2
[7,8,5,4,1,6,2,3] => 0111010 => 2
[6,1,5,4,3,7,8,2] => 1011001 => 2
[7,5,6,4,2,1,8,3] => 1011101 => 2
[8,3,2,6,5,7,1,4] => 1101010 => 3
[7,4,6,2,5,1,8,3] => 1010101 => 3
[6,1,4,3,5,7,8,2] => 1010001 => 2
[6,1,3,4,5,7,8,2] => 1000001 => 1
[7,2,6,4,5,1,8,3] => 1010101 => 3
[8,2,3,6,5,7,1,4] => 1001010 => 3
[5,4,7,3,6,8,1,2] => 1010010 => 3
[3,4,7,8,5,6,1,2] => 0001010 => 2
[3,4,7,2,5,1,6,8] => 0010100 => 2
[1,4,7,2,5,8,3,6] => 0010010 => 2
[3,6,2,4,7,1,5,8] => 0100100 => 2
[6,8,3,4,5,7,1,2] => 0100010 => 2
[4,3,6,7,5,8,1,2] => 1001010 => 3
[6,3,7,5,8,4,1,2] => 1010110 => 3
[7,3,8,6,4,5,1,2] => 1011010 => 3
[3,2,7,6,5,1,4,8] => 1011100 => 2
[1,2,7,6,5,8,3,4] => 0011010 => 2
[4,8,2,6,1,5,3,7] => 0101010 => 3
[2,3,8,6,4,1,5,7] => 0011100 => 1
[4,3,6,2,5,1,8,7] => 1010101 => 3
[7,8,3,2,5,1,4,6] => 0110100 => 2
[7,8,1,2,5,6,3,4] => 0100010 => 2
[4,1,6,2,5,7,3,8] => 1010010 => 3
[6,1,2,5,8,7,3,4] => 1000110 => 2
[2,1,8,6,4,7,3,5] => 1011010 => 3
[7,1,3,6,8,4,2,5] => 1000110 => 2
[1,8,3,6,7,4,5,2] => 0100101 => 2
[7,1,5,8,3,6,2,4] => 1001010 => 3
[5,1,8,7,2,3,6,4] => 1011001 => 2
[6,1,5,7,4,2,8,3] => 1001101 => 2
[3,1,6,4,7,2,5,8] => 1010100 => 3
[2,4,7,5,1,8,3,6] => 0011010 => 2
[6,5,7,1,4,2,3,8] => 1010100 => 3
[5,6,8,1,3,2,4,7] => 0010100 => 2
[6,8,5,1,3,4,2,7] => 0110010 => 2
[2,8,3,4,5,1,7,6] => 0100101 => 2
[6,2,4,3,1,5,7,8] => 1011000 => 2
[4,2,8,3,1,7,5,6] => 1011010 => 3
[1,3,7,4,8,2,5,6] => 0010100 => 2
[5,3,7,4,1,6,2,8] => 1011010 => 3
[2,4,7,3,6,1,8,5] => 0010101 => 2
[5,8,7,6,3,1,2,4] => 0111100 => 1
[7,5,6,8,1,4,3,2] => 1001011 => 2
[2,4,7,1,6,5,3,8] => 0010110 => 2
[1,2,7,8,5,4,3,6] => 0001110 => 1
[6,3,1,2,8,4,5,7] => 1100100 => 2
[4,2,1,3,6,5,8,7] => 1100101 => 2
[2,8,1,4,5,6,3,7] => 0100010 => 2
[7,2,1,5,4,6,3,8] => 1101010 => 3
[4,2,6,1,8,5,3,7] => 1010110 => 3
[7,8,2,1,4,5,3,6] => 0110010 => 2
[7,8,4,1,5,3,6,2] => 0110101 => 2
[3,4,6,1,5,8,7,2] => 0010011 => 1
[7,5,1,6,4,3,8,2] => 1101101 => 2
[5,8,1,6,3,4,7,2] => 0101001 => 2
[6,5,1,8,2,7,4,3] => 1101011 => 2
[6,8,1,7,5,2,3,4] => 0101100 => 2
[7,6,1,8,5,3,2,4] => 1101110 => 2
[5,6,1,7,4,8,2,3] => 0101010 => 3
[3,6,1,5,7,4,2,8] => 0100110 => 2
[2,5,6,1,7,4,8,3] => 0010101 => 2
[3,1,7,5,6,4,8,2] => 1010101 => 3
[5,1,7,6,4,8,3,2] => 1011011 => 2
[6,1,7,8,5,3,4,2] => 1001101 => 2
[7,1,8,6,5,4,2,3] => 1011110 => 2
[2,6,5,7,3,4,8,1] => 0101001 => 2
[1,6,4,7,5,8,2,3] => 0101010 => 3
[8,5,3,6,2,7,4,1] => 1101011 => 2
[1,3,7,4,6,8,2,5] => 0010010 => 2
[4,7,5,6,3,2,8,1] => 0101101 => 2
[1,7,6,5,4,8,2,3] => 0111010 => 2
[8,1,6,5,7,2,4,3] => 1010101 => 3
[1,2,7,6,8,3,4,5] => 0010100 => 2
[6,1,7,5,3,8,2,4] => 1011010 => 3
[2,1,7,5,6,8,3,4] => 1010010 => 3
[5,4,1,7,6,8,2,3] => 1101010 => 3
[4,8,5,6,2,7,3,1] => 0101011 => 2
[3,8,6,4,2,7,5,1] => 0111011 => 1
[7,8,5,2,4,6,3,1] => 0110011 => 1
[2,8,6,3,7,4,5,1] => 0110101 => 2
[7,8,1,6,2,4,5,3] => 0101001 => 2
[6,8,1,4,7,2,5,3] => 0100101 => 2
[3,8,4,1,7,2,6,5] => 0110101 => 2
[5,4,7,1,8,3,2,6] => 1010110 => 3
[3,7,4,1,8,5,2,6] => 0110110 => 2
[6,7,1,4,8,3,2,5] => 0100110 => 2
[2,7,1,8,4,5,3,6] => 0101010 => 3
[6,1,2,8,4,3,5,7] => 1001100 => 2
[6,5,1,4,3,8,2,7] => 1101010 => 3
[1,6,2,5,8,3,4,7] => 0100100 => 2
[8,5,1,3,7,2,6,4] => 1100101 => 2
[8,4,2,1,7,3,6,5] => 1110101 => 2
[7,4,2,1,8,5,3,6] => 1110110 => 2
[1,5,4,2,8,3,6,7] => 0110100 => 2
[6,4,3,1,5,8,2,7] => 1110010 => 2
[3,7,6,8,4,5,2,1] => 0101011 => 2
[2,7,6,8,5,3,4,1] => 0101101 => 2
[1,7,6,8,5,4,2,3] => 0101110 => 2
[1,4,8,6,7,5,2,3] => 0010110 => 2
[2,4,8,6,7,3,5,1] => 0010101 => 2
[7,3,8,5,4,6,2,1] => 1011011 => 2
[3,4,8,5,6,7,2,1] => 0010011 => 1
[6,3,5,8,4,7,2,1] => 1001011 => 2
[5,4,3,8,6,7,2,1] => 1101011 => 2
[5,4,2,8,7,3,6,1] => 1101101 => 2
[6,2,5,8,7,3,4,1] => 1001101 => 2
[3,2,8,5,7,4,6,1] => 1010101 => 3
[1,3,8,7,5,6,2,4] => 0011010 => 2
[2,1,8,7,4,6,3,5] => 1011010 => 3
[3,1,8,5,7,6,2,4] => 1010110 => 3
[6,1,5,8,7,4,2,3] => 1001110 => 2
[5,4,1,8,7,6,2,3] => 1101110 => 2
[5,8,6,7,4,3,2,1] => 0101111 => 1
[4,8,7,5,6,3,2,1] => 0110111 => 1
[4,2,1,6,3,5,8,7] => 1101001 => 2
[6,2,1,4,3,5,8,7] => 1101001 => 2
[6,2,1,4,3,8,5,7] => 1101010 => 3
[8,2,1,4,3,6,5,7] => 1101010 => 3
[8,2,4,1,3,6,5,7] => 1010010 => 3
[6,2,4,1,3,8,5,7] => 1010010 => 3
[6,2,4,1,3,5,8,7] => 1010001 => 2
[4,2,6,1,3,5,8,7] => 1010001 => 2
[2,1,6,4,3,5,8,7] => 1011001 => 2
[2,6,1,4,3,5,8,7] => 0101001 => 2
[2,6,4,1,3,5,8,7] => 0110001 => 1
[4,6,2,1,3,5,8,7] => 0110001 => 1
[6,4,2,1,3,5,8,7] => 1110001 => 1
[8,4,2,1,3,6,5,7] => 1110010 => 2
[8,4,2,1,6,3,5,7] => 1110100 => 2
[6,4,2,1,8,3,5,7] => 1110100 => 2
[4,6,2,1,8,3,5,7] => 0110100 => 2
[2,6,1,4,3,8,5,7] => 0101010 => 3
[2,1,6,4,3,8,5,7] => 1011010 => 3
[2,1,8,4,3,6,5,7] => 1011010 => 3
[2,8,1,4,3,6,5,7] => 0101010 => 3
[2,8,4,1,3,6,5,7] => 0110010 => 2
[4,8,2,1,3,6,5,7] => 0110010 => 2
[4,8,2,1,6,3,5,7] => 0110100 => 2
[6,8,2,1,4,3,5,7] => 0110100 => 2
[8,6,2,1,4,3,5,7] => 1110100 => 2
[2,8,1,4,6,3,5,7] => 0100100 => 2
[2,1,8,4,6,3,5,7] => 1010100 => 3
[2,1,6,4,8,3,5,7] => 1010100 => 3
[2,6,1,4,8,3,5,7] => 0100100 => 2
[2,6,4,1,8,3,5,7] => 0110100 => 2
[2,6,4,8,1,3,5,7] => 0101000 => 2
[4,6,2,8,1,3,5,7] => 0101000 => 2
[4,2,6,1,3,8,5,7] => 1010010 => 3
[4,2,6,1,8,3,5,7] => 1010100 => 3
[6,2,4,1,8,3,5,7] => 1010100 => 3
[8,2,4,1,6,3,5,7] => 1010100 => 3
[8,2,1,4,6,3,5,7] => 1100100 => 2
[6,2,1,4,8,3,5,7] => 1100100 => 2
[4,2,1,6,8,3,5,7] => 1100100 => 2
[4,2,1,6,3,8,5,7] => 1101010 => 3
[4,2,1,3,6,8,5,7] => 1100010 => 2
[2,1,4,3,8,6,5,7] => 1010110 => 3
[2,4,1,3,8,6,5,7] => 0100110 => 2
[4,2,1,3,8,6,5,7] => 1100110 => 2
[4,2,1,8,3,6,5,7] => 1101010 => 3
[4,2,1,8,6,3,5,7] => 1101100 => 2
[6,2,1,8,4,3,5,7] => 1101100 => 2
[8,2,1,6,4,3,5,7] => 1101100 => 2
[8,2,6,1,4,3,5,7] => 1010100 => 3
[6,2,8,1,4,3,5,7] => 1010100 => 3
[4,2,8,1,6,3,5,7] => 1010100 => 3
[4,2,8,1,3,6,5,7] => 1010010 => 3
[2,4,8,1,3,6,5,7] => 0010010 => 2
[2,4,1,8,3,6,5,7] => 0101010 => 3
[2,1,4,8,3,6,5,7] => 1001010 => 3
[2,1,4,8,6,3,5,7] => 1001100 => 2
[2,4,8,1,6,3,5,7] => 0010100 => 2
[2,4,8,6,1,3,5,7] => 0011000 => 1
[4,2,8,6,1,3,5,7] => 1011000 => 2
[6,2,8,4,1,3,5,7] => 1011000 => 2
[8,2,6,4,1,3,5,7] => 1011000 => 2
[8,4,6,2,1,3,5,7] => 1011000 => 2
[6,4,8,2,1,3,5,7] => 1011000 => 2
[4,6,8,2,1,3,5,7] => 0011000 => 1
[2,6,8,4,1,3,5,7] => 0011000 => 1
[2,6,8,1,4,3,5,7] => 0010100 => 2
[2,6,1,8,4,3,5,7] => 0101100 => 2
[2,1,6,8,4,3,5,7] => 1001100 => 2
[2,1,8,6,4,3,5,7] => 1011100 => 2
[2,8,1,6,4,3,5,7] => 0101100 => 2
[2,8,6,4,1,3,5,7] => 0111000 => 1
[4,8,6,2,1,3,5,7] => 0111000 => 1
[6,8,4,2,1,3,5,7] => 0111000 => 1
[3,2,6,1,5,4,8,7] => 1010101 => 3
[5,2,4,3,8,1,7,6] => 1010101 => 3
[6,2,4,1,5,3,8,7] => 1010101 => 3
[4,3,6,1,5,2,8,7] => 1010101 => 3
[4,3,5,2,8,1,7,6] => 1010101 => 3
[4,3,7,2,6,5,8,1] => 1010101 => 3
[4,3,8,2,6,1,7,5] => 1010101 => 3
[4,3,8,1,7,2,6,5] => 1010101 => 3
[4,3,8,1,5,2,7,6] => 1010101 => 3
[5,1,8,3,4,2,7,6] => 1010101 => 3
[5,4,8,1,3,2,7,6] => 1010101 => 3
[2,1,5,4,8,3,7,6] => 1010101 => 3
[5,1,7,6,8,3,4,2] => 1010101 => 3
[4,3,7,6,8,1,5,2] => 1010101 => 3
[4,3,7,1,8,5,6,2] => 1010101 => 3
[4,3,6,5,8,1,7,2] => 1010101 => 3
[6,3,5,4,7,2,8,1] => 1010101 => 3
[6,3,5,4,8,1,7,2] => 1010101 => 3
[7,1,6,3,8,4,5,2] => 1010101 => 3
[7,4,6,5,8,1,3,2] => 1010101 => 3
[2,1,8,4,6,3,7,5] => 1010101 => 3
[8,4,6,1,3,2,7,5] => 1010101 => 3
[8,1,6,3,4,2,7,5] => 1010101 => 3
[8,1,6,3,7,2,5,4] => 1010101 => 3
[8,3,5,1,7,2,6,4] => 1010101 => 3
[8,3,5,2,6,1,7,4] => 1010101 => 3
[7,3,5,2,6,4,8,1] => 1010101 => 3
[8,2,6,3,5,1,7,4] => 1010101 => 3
[8,2,7,1,5,3,6,4] => 1010101 => 3
[8,2,4,1,5,3,7,6] => 1010101 => 3
[8,2,4,1,7,3,6,5] => 1010101 => 3
[8,2,4,3,6,1,7,5] => 1010101 => 3
[3,2,8,4,6,1,7,5] => 1010101 => 3
[3,2,8,1,5,4,7,6] => 1010101 => 3
[3,2,7,6,8,1,5,4] => 1010101 => 3
[3,2,7,1,8,5,6,4] => 1010101 => 3
[3,2,6,5,8,1,7,4] => 1010101 => 3
[6,5,7,2,4,3,8,1] => 1010101 => 3
[6,5,8,2,4,1,7,3] => 1010101 => 3
[7,2,4,1,8,5,6,3] => 1010101 => 3
[7,6,8,2,4,1,5,3] => 1010101 => 3
[7,6,8,1,5,2,4,3] => 1010101 => 3
[2,1,7,3,8,5,6,4] => 1010101 => 3
[7,1,3,2,8,5,6,4] => 1010101 => 3
[7,1,8,5,6,2,4,3] => 1010101 => 3
[7,1,8,2,6,4,5,3] => 1010101 => 3
[7,2,8,1,5,4,6,3] => 1010101 => 3
[6,2,7,4,5,3,8,1] => 1010101 => 3
[5,4,7,2,6,3,8,1] => 1010101 => 3
[5,4,8,2,6,1,7,3] => 1010101 => 3
[6,5,8,1,7,2,4,3] => 1010101 => 3
[2,1,6,5,8,3,7,4] => 1010101 => 3
[6,5,7,4,8,1,3,2] => 1010101 => 3
[6,5,7,1,8,3,4,2] => 1010101 => 3
[6,1,7,4,8,3,5,2] => 1010101 => 3
[5,4,7,1,8,3,6,2] => 1010101 => 3
[5,4,6,3,8,1,7,2] => 1010101 => 3
[3,8,2,9,10,11,12,7,6,5,4,1] => 01000011111 => 1
[6,7,8,9,10,5,4,3,2,1,12,11] => 00001111101 => 1
[2,8,3,1,5,4,6,7] => 0110100 => 2
[2,5,3,4,7,1,8,6] => 0100101 => 2
[2,4,8,3,5,7,6,1] => 0010011 => 1
[4,2,5,3,1,8,6,7] => 1011010 => 3
[4,2,1,8,5,3,6,7] => 1101100 => 2
[5,4,1,3,8,2,6,7] => 1100100 => 2
[5,1,4,8,3,2,6,7] => 1001100 => 2
[1,5,8,4,3,2,6,7] => 0011100 => 1
[1,8,5,4,3,2,6,7] => 0111100 => 1
[1,7,4,3,8,5,2,6] => 0110110 => 2
[1,5,7,3,8,4,2,6] => 0010110 => 2
[5,1,4,7,8,3,2,6] => 1000110 => 2
[4,8,1,5,7,3,6,2] => 0100101 => 2
[8,1,5,3,7,4,6,2] => 1010101 => 3
[3,8,4,7,6,5,2,1] => 0101111 => 1
[1,6,8,5,3,7,4,2] => 0011011 => 1
[6,8,1,7,4,3,5,2] => 0101101 => 2
[6,4,8,1,7,3,5,2] => 1010101 => 3
[6,4,8,7,1,5,2,3] => 1011010 => 3
[7,6,4,1,3,8,2,5] => 1110010 => 2
[1,7,5,6,3,2,8,4] => 0101101 => 2
[4,2,1,7,8,5,3,6] => 1100110 => 2
[2,7,4,6,3,1,8,5] => 0101101 => 2
[2,6,8,4,3,7,5,1] => 0011011 => 1
[6,2,4,8,3,7,5,1] => 1001011 => 2
[7,2,6,3,4,1,8,5] => 1010101 => 3
[2,6,7,3,1,4,8,5] => 0011001 => 1
[2,7,1,8,3,5,4,6] => 0101010 => 3
[2,1,7,3,5,8,4,6] => 1010010 => 3
[8,7,1,3,6,2,4,5] => 1100100 => 2
[8,2,1,7,3,5,6,4] => 1101001 => 2
[7,8,2,6,3,1,5,4] => 0101101 => 2
[8,7,2,6,3,5,4,1] => 1101011 => 2
[1,2,8,7,4,5,6,3] => 0011001 => 1
[8,3,7,1,5,6,2,4] => 1010010 => 3
[8,6,1,2,7,5,3,4] => 1100110 => 2
[8,1,6,2,7,4,5,3] => 1010101 => 3
[1,8,5,2,6,7,4,3] => 0110011 => 1
[5,2,1,8,6,7,4,3] => 1101011 => 2
[2,8,5,7,6,4,3,1] => 0101111 => 1
[1,7,8,5,2,6,4,3] => 0011011 => 1
[7,8,1,6,4,2,5,3] => 0101101 => 2
[7,8,6,1,5,3,2,4] => 0110110 => 2
[7,3,8,6,1,5,2,4] => 1011010 => 3
[8,7,6,1,5,3,4,2] => 1110101 => 2
[8,7,1,6,4,5,3,2] => 1101011 => 2
[8,1,7,5,6,4,3,2] => 1010111 => 2
[1,8,6,7,5,4,3,2] => 0101111 => 1
[6,3,5,2,1,4,8,7] => 1011001 => 2
[6,3,5,7,2,8,4,1] => 1001011 => 2
[8,5,2,7,4,3,1,6] => 1101110 => 2
[4,5,3,6,1,2,8,7] => 0101001 => 2
[3,5,1,4,6,2,8,7] => 0100101 => 2
[8,3,4,5,7,2,1,6] => 1000110 => 2
[5,7,4,6,3,8,2,1] => 0101011 => 2
[2,8,4,6,3,7,1,5] => 0101010 => 3
[8,1,4,7,3,6,2,5] => 1001010 => 3
[8,3,4,7,5,1,2,6] => 1001100 => 2
[8,5,1,4,7,3,2,6] => 1100110 => 2
[8,5,3,7,1,4,2,6] => 1101010 => 3
[2,1,8,5,7,4,3,6] => 1010110 => 3
[6,5,3,7,1,8,4,2] => 1101011 => 2
[6,5,1,4,7,8,3,2] => 1100011 => 1
[6,3,4,7,5,8,1,2] => 1001010 => 3
[5,1,4,6,8,3,7,2] => 1000101 => 2
[4,7,1,3,5,8,6,2] => 0100011 => 1
[4,8,3,7,1,2,6,5] => 0101001 => 2
[3,8,6,4,1,7,2,5] => 0111010 => 2
[3,8,1,2,5,7,6,4] => 0100011 => 1
[2,8,7,5,4,1,3,6] => 0111100 => 1
[8,7,2,6,4,1,3,5] => 1101100 => 2
[3,8,6,7,4,2,1,5] => 0101110 => 2
[5,7,6,8,4,2,3,1] => 0101101 => 2
[5,3,7,8,2,4,6,1] => 1001001 => 2
[8,3,6,2,1,4,7,5] => 1011001 => 2
[5,3,7,6,2,1,8,4] => 1011101 => 2
[5,3,6,2,8,7,1,4] => 1010110 => 3
[5,7,8,6,4,2,1,3] => 0011110 => 1
[2,6,7,5,4,8,1,3] => 0011010 => 2
[6,1,7,4,5,8,2,3] => 1010010 => 3
[6,7,3,5,1,8,2,4] => 0101010 => 3
[2,1,6,7,5,8,3,4] => 1001010 => 3
[2,1,5,7,3,6,8,4] => 1001001 => 2
[5,7,3,6,1,2,8,4] => 0101001 => 2
[4,1,7,2,5,6,8,3] => 1010001 => 2
[2,4,7,1,6,5,8,3] => 0010101 => 2
[4,6,2,1,8,7,5,3] => 0110111 => 1
[3,4,6,2,7,8,5,1] => 0010011 => 1
[4,6,1,2,5,8,7,3] => 0100011 => 1
[5,6,1,4,8,2,7,3] => 0100101 => 2
[5,6,3,1,8,7,2,4] => 0110110 => 2
[3,5,6,4,7,1,8,2] => 0010101 => 2
[3,4,6,1,5,7,8,2] => 0010001 => 1
[3,4,1,5,7,6,8,2] => 0100101 => 2
[3,8,2,7,1,6,5,4] => 0101011 => 2
[3,8,2,7,6,1,5,4] => 0101101 => 2
[3,8,2,7,6,5,1,4] => 0101110 => 2
[3,8,2,7,6,5,4,1] => 0101111 => 1
[4,8,7,2,6,5,3,1] => 0110111 => 1
[4,8,7,2,6,5,1,3] => 0110110 => 2
[4,8,7,2,6,1,5,3] => 0110101 => 2
[4,8,7,2,1,6,5,3] => 0111011 => 1
[4,8,7,3,1,6,5,2] => 0111011 => 1
[4,8,7,3,2,1,6,5] => 0111101 => 1
[4,8,7,3,2,6,1,5] => 0111010 => 2
[4,8,7,3,2,6,5,1] => 0111011 => 1
[4,8,7,3,6,2,5,1] => 0110101 => 2
[4,8,7,3,6,2,1,5] => 0110110 => 2
[4,8,7,3,6,1,5,2] => 0110101 => 2
[4,8,7,3,6,5,1,2] => 0110110 => 2
[4,8,7,3,6,5,2,1] => 0110111 => 1
[5,8,7,6,3,4,2,1] => 0111011 => 1
[5,8,7,6,3,1,4,2] => 0111101 => 1
[5,8,7,6,3,2,4,1] => 0111101 => 1
[5,8,7,6,2,4,3,1] => 0111011 => 1
[5,8,7,6,2,1,4,3] => 0111101 => 1
[5,8,7,6,4,2,3,1] => 0111101 => 1
[5,8,7,6,4,2,1,3] => 0111110 => 1
[5,8,7,6,4,1,3,2] => 0111101 => 1
[5,8,7,6,4,3,1,2] => 0111110 => 1
[7,3,4,2,1,6,5,8] => 1011010 => 3
[7,3,5,2,6,1,4,8] => 1010100 => 3
[7,3,5,2,6,4,1,8] => 1010110 => 3
[6,3,5,2,7,4,8,1] => 1010101 => 3
[7,2,1,5,6,4,3,8] => 1100110 => 2
[7,3,5,1,6,4,2,8] => 1010110 => 3
[7,4,5,6,1,3,2,8] => 1001010 => 3
[1,4,5,7,3,2,8,6] => 0001101 => 1
[1,4,6,7,3,8,2,5] => 0001010 => 2
[6,4,5,7,3,1,8,2] => 1001101 => 2
[6,4,5,7,1,3,8,2] => 1001001 => 2
[6,3,5,1,7,4,8,2] => 1010101 => 3
[6,2,1,5,7,4,8,3] => 1100101 => 2
[3,2,1,5,7,4,8,6] => 1100101 => 2
[2,4,6,7,3,8,1,5] => 0001010 => 2
[1,4,6,7,3,8,5,2] => 0001011 => 1
[1,5,6,7,8,3,4,2] => 0000101 => 1
[2,5,6,7,8,3,1,4] => 0000110 => 1
[3,2,1,6,7,8,4,5] => 1100010 => 2
[5,2,1,6,7,8,4,3] => 1100011 => 1
[5,3,6,1,7,8,4,2] => 1010011 => 2
[5,4,6,7,1,8,3,2] => 1001011 => 2
[1,5,6,7,8,3,2,4] => 0000110 => 1
[6,4,5,7,2,1,8,3] => 1001101 => 2
[5,4,6,7,2,8,3,1] => 1001011 => 2
[5,3,6,2,7,8,4,1] => 1010011 => 2
[5,3,6,2,7,8,1,4] => 1010010 => 3
[6,3,5,2,7,1,8,4] => 1010101 => 3
[6,3,4,2,1,7,8,5] => 1011001 => 2
[5,3,4,1,2,7,8,6] => 1010001 => 2
[4,3,6,2,7,8,1,5] => 1010010 => 3
[4,3,6,2,7,8,5,1] => 1010011 => 2
[1,3,6,2,7,8,5,4] => 0010011 => 1
[1,4,6,7,2,8,5,3] => 0001011 => 1
[3,4,6,7,2,8,5,1] => 0001011 => 1
[3,4,5,7,2,1,8,6] => 0001101 => 1
[4,2,1,5,7,3,8,6] => 1100101 => 2
[4,2,1,6,7,8,3,5] => 1100010 => 2
[4,3,6,1,7,8,2,5] => 1010010 => 3
[1,5,6,7,8,2,4,3] => 0000101 => 1
[1,5,6,7,8,4,2,3] => 0000110 => 1
[3,4,6,7,1,8,5,2] => 0001011 => 1
[4,3,6,1,7,8,5,2] => 1010011 => 2
[4,2,1,6,7,8,5,3] => 1100011 => 1
[2,3,6,1,7,8,5,4] => 0010011 => 1
[2,4,6,7,1,8,5,3] => 0001011 => 1
[2,5,6,7,8,1,4,3] => 0000101 => 1
[2,1,4,3,6,5,8,7,9] => 10101010 => 4
[2,4,1,3,6,5,8,7,9] => 01001010 => 3
[2,4,1,6,3,5,8,7,9] => 01010010 => 3
[2,4,1,6,3,8,5,7,9] => 01010100 => 3
[2,4,1,6,3,7,5,9,8] => 01010101 => 3
[2,4,1,5,3,7,6,9,8] => 01010101 => 3
[2,3,1,5,4,7,6,9,8] => 01010101 => 3
[1,3,2,5,4,7,6,9,8] => 01010101 => 3
[2,4,1,3,6,5,8,7,10,9] => 010010101 => 3
[2,4,6,1,3,5,8,7,9] => 00100010 => 2
[2,4,1,6,3,5,8,7,10,9] => 010100101 => 3
[2,4,1,6,8,3,5,7,9] => 01001000 => 2
[2,4,1,6,3,8,5,7,10,9] => 010101001 => 3
[2,4,1,6,3,8,9,5,7] => 01010010 => 3
[2,4,1,6,3,8,5,10,7,9] => 010101010 => 4
[2,4,1,6,3,7,5,8,9] => 01010100 => 3
[2,4,1,6,3,8,5,9,7,10] => 010101010 => 4
[2,4,1,5,3,8,6,9,7] => 01010101 => 3
[2,4,1,6,3,7,5,9,8,10] => 010101010 => 4
[2,3,1,6,4,7,5,9,8] => 01010101 => 3
[2,4,1,5,3,7,6,9,8,10] => 010101010 => 4
[1,4,2,5,3,7,6,9,8] => 01010101 => 3
[2,3,1,5,4,7,6,9,8,10] => 010101010 => 4
[1,3,2,5,4,7,6,9,8,10] => 010101010 => 4
[7,1,2,3,4,5,6,8,9] => 10000000 => 1
[1,4,3,6,2,5,7,8] => 0101000 => 2
[1,4,3,7,2,5,6,8] => 0101000 => 2
[1,4,3,7,6,8,2,5] => 0101010 => 3
[1,4,3,7,5,8,2,6] => 0101010 => 3
[1,4,3,7,2,6,5,8] => 0101010 => 3
[1,5,3,7,4,8,2,6] => 0101010 => 3
[1,3,2,6,5,8,4,7] => 0101010 => 3
[1,5,4,8,2,6,3,7] => 0101010 => 3
[1,5,4,8,3,7,2,6] => 0101010 => 3
[1,2,3,6,5,8,4,7] => 0001010 => 2
[6,8,2,4,5,7,1,3] => 0100010 => 2
[3,7,8,4,5,2,6,1] => 0010101 => 2
[7,8,1,4,5,3,6,2] => 0100101 => 2
[3,8,7,4,1,6,5,2] => 0111011 => 1
[4,8,3,6,1,5,7,2] => 0101001 => 2
[5,8,3,1,6,4,7,2] => 0110101 => 2
[5,8,1,4,7,6,3,2] => 0100111 => 1
[7,5,1,8,6,2,4,3] => 1101101 => 2
[7,4,1,8,2,6,3,5] => 1101010 => 3
[7,1,8,4,2,6,3,5] => 1011010 => 3
[1,6,3,8,5,2,4,7] => 0101100 => 2
[6,1,3,8,5,2,4,7] => 1001100 => 2
[7,1,8,3,6,2,5,4] => 1010101 => 3
[7,3,1,8,4,2,6,5] => 1101101 => 2
[7,2,8,4,1,6,5,3] => 1011011 => 2
[7,2,8,3,6,5,1,4] => 1010110 => 3
[7,2,8,3,6,1,5,4] => 1010101 => 3
[7,1,8,2,3,6,5,4] => 1010011 => 2
[6,1,2,8,3,5,4,7] => 1001010 => 3
[1,5,2,3,8,4,7,6] => 0100101 => 2
[5,1,2,3,8,4,7,6] => 1000101 => 2
[5,2,3,8,1,4,7,6] => 1001001 => 2
[6,2,8,1,3,5,4,7] => 1010010 => 3
[6,2,4,1,8,7,3,5] => 1010110 => 3
[6,3,1,4,2,8,5,7] => 1101010 => 3
[3,1,6,4,2,8,5,7] => 1011010 => 3
[2,6,3,8,7,1,5,4] => 0101101 => 2
[2,6,3,8,5,1,4,7] => 0101100 => 2
[2,5,1,8,3,4,7,6] => 0101001 => 2
[2,5,1,3,8,4,7,6] => 0100101 => 2
[1,2,5,3,8,4,7,6] => 0010101 => 2
[1,2,4,8,3,7,6,5] => 0001011 => 1
[2,4,8,1,3,7,6,5] => 0010011 => 1
[2,4,8,3,7,1,6,5] => 0010101 => 2
[2,4,8,3,7,6,1,5] => 0010110 => 2
[2,5,3,8,1,7,4,6] => 0101010 => 3
[2,5,4,1,3,8,7,6] => 0110011 => 1
[3,1,5,4,8,2,7,6] => 1010101 => 3
[5,3,1,4,8,2,7,6] => 1100101 => 2
[5,2,3,8,4,7,1,6] => 1001010 => 3
[4,8,2,3,7,6,1,5] => 0100110 => 2
[4,8,2,3,7,1,6,5] => 0100101 => 2
[4,8,1,2,3,7,6,5] => 0100011 => 1
[1,4,8,2,3,7,6,5] => 0010011 => 1
[1,4,8,3,7,2,6,5] => 0010101 => 2
[6,3,8,1,5,2,4,7] => 1010100 => 3
[5,3,8,1,2,4,7,6] => 1010001 => 2
[5,1,3,8,2,4,7,6] => 1001001 => 2
[1,5,3,8,2,4,7,6] => 0101001 => 2
[1,5,4,8,2,7,6,3] => 0101011 => 2
[5,1,4,8,2,7,6,3] => 1001011 => 2
[5,4,8,1,2,7,6,3] => 1010011 => 2
[6,5,1,2,8,7,4,3] => 1100111 => 1
[5,3,1,6,4,2,8,7] => 1101101 => 2
[5,1,6,2,8,7,4,3] => 1010111 => 2
[4,1,5,8,2,7,6,3] => 1001011 => 2
[4,1,2,5,8,7,6,3] => 1000111 => 1
[1,4,2,5,8,7,6,3] => 0100111 => 1
[1,3,5,2,8,7,4,6] => 0010110 => 2
[3,5,1,2,8,7,4,6] => 0100110 => 2
[3,6,2,8,7,5,1,4] => 0101110 => 2
[4,2,6,1,8,7,3,5] => 1010110 => 3
[4,3,1,5,8,2,7,6] => 1100101 => 2
[3,5,2,8,7,1,4,6] => 0101100 => 2
[3,4,8,7,2,6,1,5] => 0011010 => 2
[3,4,8,7,1,2,6,5] => 0011001 => 1
[3,4,8,1,7,2,6,5] => 0010101 => 2
[1,3,4,8,7,2,6,5] => 0001101 => 1
[1,3,4,8,2,7,6,5] => 0001011 => 1
[3,4,8,1,2,7,6,5] => 0010011 => 1
[3,4,8,2,7,1,6,5] => 0010101 => 2
[3,4,8,2,7,6,1,5] => 0010110 => 2
[4,2,5,8,1,7,6,3] => 1001011 => 2
[4,3,1,2,5,8,7,6] => 1100011 => 1
[3,1,4,2,5,8,7,6] => 1010011 => 2
[2,3,5,1,8,7,6,4] => 0010111 => 1
[7,8,2,1,5,3,6,4] => 0110101 => 2
[6,4,1,2,7,3,5,8] => 1100100 => 2
[2,3,7,5,4,1,8,6] => 0011101 => 1
[6,3,1,5,4,2,7,8] => 1101100 => 2
[7,8,1,5,4,2,6,3] => 0101101 => 2
[7,8,3,5,4,1,6,2] => 0101101 => 2
[7,8,2,5,4,1,3,6] => 0101100 => 2
[7,8,2,5,4,6,1,3] => 0101010 => 3
[6,2,1,5,4,7,3,8] => 1101010 => 3
[5,3,6,1,4,7,8,2] => 1010001 => 2
[5,3,6,2,4,7,1,8] => 1010010 => 3
[6,4,2,1,7,3,8,5] => 1110101 => 2
[4,3,7,5,8,6,1,2] => 1010110 => 3
[4,2,7,1,8,3,6,5] => 1010101 => 3
[3,2,6,7,4,8,1,5] => 1001010 => 3
[3,1,6,7,4,8,5,2] => 1001011 => 2
[1,7,6,5,3,8,4,2] => 0111011 => 1
[2,7,6,5,3,8,1,4] => 0111010 => 2
[1,7,6,5,2,4,8,3] => 0111001 => 1
[2,7,6,5,3,1,4,8] => 0111100 => 1
[2,7,1,4,8,3,5,6] => 0100100 => 2
[3,7,6,4,8,5,1,2] => 0110110 => 2
[5,7,6,3,8,4,1,2] => 0110110 => 2
[5,1,6,2,4,8,3,7] => 1010010 => 3
[4,7,6,5,2,1,3,8] => 0111100 => 1
[4,7,6,5,2,8,1,3] => 0111010 => 2
[4,7,6,5,1,8,3,2] => 0111011 => 1
[1,7,6,5,2,8,3,4] => 0111010 => 2
[1,7,6,5,3,2,8,4] => 0111101 => 1
[4,7,6,5,1,2,8,3] => 0111001 => 1
[4,7,6,5,3,1,8,2] => 0111101 => 1
[6,1,3,5,4,8,7,2] => 1001011 => 2
[5,2,6,3,4,1,7,8] => 1010100 => 3
[5,1,6,2,4,7,8,3] => 1010001 => 2
[1,2,6,3,4,8,7,5] => 0010011 => 1
[1,7,2,4,8,3,6,5] => 0100101 => 2
[6,1,4,2,8,3,5,7] => 1010100 => 3
[4,1,8,2,6,3,5,7] => 1010100 => 3
[4,7,2,1,5,3,6,8] => 0110100 => 2
[4,7,1,6,2,3,8,5] => 0101001 => 2
[1,7,2,6,8,3,5,4] => 0100101 => 2
[1,2,6,7,4,8,5,3] => 0001011 => 1
[3,1,6,7,4,2,8,5] => 1001101 => 2
[3,2,8,5,4,6,1,7] => 1011010 => 3
[4,7,6,3,5,8,1,2] => 0110010 => 2
[4,7,1,2,5,3,8,6] => 0100101 => 2
[3,7,6,5,2,4,1,8] => 0111010 => 2
[3,7,6,5,1,4,8,2] => 0111001 => 1
[3,7,6,5,2,1,8,4] => 0111101 => 1
[1,7,6,5,8,2,4,3] => 0110101 => 2
[3,7,6,5,8,1,4,2] => 0110101 => 2
[3,7,6,5,1,2,4,8] => 0111000 => 1
[3,1,6,8,4,2,5,7] => 1001100 => 2
[4,7,6,8,3,5,1,2] => 0101010 => 3
[2,7,6,5,1,4,3,8] => 0111010 => 2
[2,7,6,5,8,1,3,4] => 0110100 => 2
[2,7,6,5,8,4,1,3] => 0110110 => 2
[6,3,2,1,7,4,8,5] => 1110101 => 2
[4,2,1,7,3,5,8,6] => 1101001 => 2
[7,3,1,5,4,2,8,6] => 1101101 => 2
[8,4,1,5,2,7,6,3] => 1101011 => 2
[8,2,5,1,3,7,6,4] => 1010011 => 2
[4,3,7,2,1,5,8,6] => 1011001 => 2
[4,7,2,5,3,1,8,6] => 0101101 => 2
[2,7,5,4,1,3,8,6] => 0111001 => 1
[7,5,4,3,2,1,8,6] => 1111101 => 1
[6,5,2,1,8,4,3,7] => 1110110 => 2
[4,6,3,2,8,1,5,7] => 0110100 => 2
[5,7,4,3,2,8,1,6] => 0111010 => 2
[1,7,6,2,4,8,3,5] => 0110010 => 2
[2,7,3,6,4,8,1,5] => 0101010 => 3
[6,2,7,5,3,8,1,4] => 1011010 => 3
[7,1,8,5,3,6,4,2] => 1011011 => 2
[5,8,3,2,7,1,6,4] => 0110101 => 2
[8,7,3,1,6,5,4,2] => 1110111 => 1
[8,7,2,6,1,5,4,3] => 1101011 => 2
[1,8,5,7,4,3,6,2] => 0101101 => 2
[1,8,5,7,2,4,6,3] => 0101001 => 2
[3,8,6,1,7,2,5,4] => 0110101 => 2
[7,2,8,5,6,1,4,3] => 1010101 => 3
[6,3,7,5,8,2,1,4] => 1010110 => 3
[3,7,2,6,8,4,1,5] => 0100110 => 2
[3,6,5,8,1,4,2,7] => 0101010 => 3
[2,6,5,8,4,1,3,7] => 0101100 => 2
[6,5,4,8,3,2,1,7] => 1101110 => 2
[8,4,3,7,2,1,6,5] => 1101101 => 2
[8,2,4,7,1,3,6,5] => 1001001 => 2
[6,2,5,8,1,4,3,7] => 1001010 => 3
[4,3,6,8,2,1,5,7] => 1001100 => 2
[6,3,5,1,8,4,2,7] => 1010110 => 3
[8,4,1,5,7,3,6,2] => 1100101 => 2
[6,4,2,5,8,3,1,7] => 1100110 => 2
[5,4,1,6,8,2,3,7] => 1100100 => 2
[6,3,7,4,8,5,2,1] => 1010111 => 2
[4,7,2,5,8,6,3,1] => 0100111 => 1
[6,3,1,8,4,7,5,2] => 1101011 => 2
[6,5,3,8,7,4,1,2] => 1101110 => 2
[5,4,8,1,7,6,2,3] => 1010110 => 3
[5,2,8,1,7,3,6,4] => 1010101 => 3
[5,7,3,8,1,6,4,2] => 0101011 => 2
[6,4,7,8,1,5,3,2] => 1001011 => 2
[2,5,8,7,1,3,6,4] => 0011001 => 1
[5,3,8,7,2,1,6,4] => 1011101 => 2
[8,3,7,6,1,5,4,2] => 1011011 => 2
[8,2,7,6,5,1,4,3] => 1011101 => 2
[4,3,8,7,6,2,1,5] => 1011110 => 2
[2,4,8,7,6,1,3,5] => 0011100 => 1
[3,5,8,7,2,6,1,4] => 0011010 => 2
[4,7,3,8,6,5,1,2] => 0101110 => 2
[7,5,8,6,4,3,2,1] => 1011111 => 1
[5,8,7,3,6,4,2,1] => 0110111 => 1
[4,8,7,6,2,5,3,1] => 0111011 => 1
[3,8,7,6,5,1,4,2] => 0111101 => 1
[2,8,7,6,5,4,1,3] => 0111110 => 1
[3,4,1,2,5,6,7,8,9] => 01000000 => 1
[3,2,1,4,5,6,7,8,9] => 11000000 => 1
[4,5,6,1,2,3,7,8,9] => 00100000 => 1
[4,2,5,1,3,6,7,8,9] => 10100000 => 2
[4,3,2,1,5,6,7,8,9] => 11100000 => 1
[5,6,7,8,1,2,3,4,9] => 00010000 => 1
[5,2,6,7,1,3,4,8,9] => 10010000 => 2
[5,6,3,4,1,2,7,8,9] => 01010000 => 2
[5,3,2,6,1,4,7,8,9] => 11010000 => 2
[5,4,3,2,1,6,7,8,9] => 11110000 => 1
[6,2,7,8,9,1,3,4,5] => 10001000 => 2
[6,7,3,4,8,1,2,5,9] => 01001000 => 2
[6,3,2,7,8,1,4,5,9] => 11001000 => 2
[6,4,7,2,5,1,3,8,9] => 10101000 => 3
[6,4,3,2,7,1,5,8,9] => 11101000 => 2
[6,5,4,3,2,1,7,8,9] => 11111000 => 1
[7,4,8,2,5,9,1,3,6] => 10100100 => 3
[7,4,3,2,8,9,1,5,6] => 11100100 => 2
[7,8,5,6,3,4,1,2,9] => 01010100 => 3
[7,5,3,8,2,6,1,4,9] => 11010100 => 3
[7,5,4,3,2,8,1,6,9] => 11110100 => 2
[7,6,5,4,3,2,1,8,9] => 11111100 => 1
[8,6,9,4,7,2,5,1,3] => 10101010 => 4
[8,6,4,3,9,2,7,1,5] => 11101010 => 3
[8,6,5,4,3,2,9,1,7] => 11111010 => 2
[3,4,1,2,5,6,7,8,9,10] => 010000000 => 1
[3,2,1,4,5,6,7,8,9,10] => 110000000 => 1
[4,5,6,1,2,3,7,8,9,10] => 001000000 => 1
[4,2,5,1,3,6,7,8,9,10] => 101000000 => 2
[4,3,2,1,5,6,7,8,9,10] => 111000000 => 1
[5,6,7,8,1,2,3,4,9,10] => 000100000 => 1
[5,2,6,7,1,3,4,8,9,10] => 100100000 => 2
[5,6,3,4,1,2,7,8,9,10] => 010100000 => 2
[5,3,2,6,1,4,7,8,9,10] => 110100000 => 2
[5,4,3,2,1,6,7,8,9,10] => 111100000 => 1
[6,2,7,8,9,1,3,4,5,10] => 100010000 => 2
[6,7,3,4,8,1,2,5,9,10] => 010010000 => 2
[6,3,2,7,8,1,4,5,9,10] => 110010000 => 2
[6,4,7,2,5,1,3,8,9,10] => 101010000 => 3
[6,4,3,2,7,1,5,8,9,10] => 111010000 => 2
[6,5,4,3,2,1,7,8,9,10] => 111110000 => 1
[7,8,3,4,9,10,1,2,5,6] => 010001000 => 2
[7,8,9,4,5,6,1,2,3,10] => 001001000 => 2
[7,4,3,2,8,9,1,5,6,10] => 111001000 => 2
[7,8,5,6,3,4,1,2,9,10] => 010101000 => 3
[7,5,3,8,2,6,1,4,9,10] => 110101000 => 3
[7,5,4,3,2,8,1,6,9,10] => 111101000 => 2
[7,6,5,4,3,2,1,8,9,10] => 111111000 => 1
[8,5,9,10,2,6,7,1,3,4] => 100100100 => 3
[8,5,3,9,2,6,10,1,4,7] => 110100100 => 3
[8,6,9,4,7,2,5,1,3,10] => 101010100 => 4
[8,6,4,3,9,2,7,1,5,10] => 111010100 => 3
[8,6,5,4,3,2,9,1,7,10] => 111110100 => 2
[8,7,6,5,4,3,2,1,9,10] => 111111100 => 1
[9,7,5,4,3,10,2,8,1,6] => 111101010 => 3
[3,6,5,1,2,4,8,7] => 0110001 => 1
[3,7,5,8,2,4,1,6] => 0101010 => 3
[3,8,5,7,2,4,1,6] => 0101010 => 3
[5,1,7,8,4,3,2,6] => 1001110 => 2
[5,1,2,6,4,3,8,7] => 1001101 => 2
[6,1,2,5,4,3,8,7] => 1001101 => 2
[5,1,2,4,6,3,8,7] => 1000101 => 2
[4,1,2,6,5,3,8,7] => 1001101 => 2
[4,1,5,7,8,3,2,6] => 1000110 => 2
[4,1,5,8,7,3,2,6] => 1001110 => 2
[4,7,1,8,3,6,2,5] => 0101010 => 3
[4,1,7,8,5,2,3,6] => 1001100 => 2
[5,1,7,4,8,2,3,6] => 1010100 => 3
[7,5,3,8,1,4,2,6] => 1101010 => 3
[2,1,5,8,7,3,4,6] => 1001100 => 2
[5,1,8,4,7,2,3,6] => 1010100 => 3
[4,1,8,7,5,2,3,6] => 1011100 => 2
[4,7,1,6,3,2,8,5] => 0101101 => 2
[6,1,2,3,7,5,8,4] => 1000101 => 2
[7,1,2,3,8,6,5,4] => 1000111 => 1
[7,1,2,3,5,8,6,4] => 1000011 => 1
[6,8,1,4,3,7,2,5] => 0101010 => 3
[8,7,3,2,4,1,6,5] => 1110101 => 2
[2,1,7,3,4,8,6,5] => 1010011 => 2
[7,8,3,2,4,1,6,5] => 0110101 => 2
[6,7,1,4,3,8,2,5] => 0101010 => 3
[8,1,2,3,5,7,6,4] => 1000011 => 1
[8,1,2,3,6,7,5,4] => 1000011 => 1
[7,1,2,3,6,8,5,4] => 1000011 => 1
[7,1,2,3,8,5,6,4] => 1000101 => 2
[8,1,2,3,7,5,6,4] => 1000101 => 2
[8,1,2,3,6,5,7,4] => 1000101 => 2
[7,1,8,5,4,3,2,6] => 1011110 => 2
[7,8,2,6,3,4,1,5] => 0101010 => 3
[6,8,2,7,3,4,1,5] => 0101010 => 3
[6,7,2,8,3,4,1,5] => 0101010 => 3
[3,8,7,1,4,2,6,5] => 0110101 => 2
[3,7,8,1,4,2,6,5] => 0010101 => 2
[3,6,8,1,4,2,7,5] => 0010101 => 2
[3,5,7,8,2,4,1,6] => 0001010 => 2
[3,6,7,1,4,2,8,5] => 0010101 => 2
[7,6,2,8,3,1,4,5] => 1101100 => 2
[8,6,2,7,3,1,4,5] => 1101100 => 2
[8,1,7,5,4,3,2,6] => 1011110 => 2
[8,1,7,4,5,3,2,6] => 1010110 => 3
[5,8,3,7,1,4,2,6] => 0101010 => 3
[2,1,7,3,4,6,8,5] => 1010001 => 2
[6,7,3,2,4,1,8,5] => 0110101 => 2
[8,7,2,4,3,6,1,5] => 1101010 => 3
[7,1,2,3,5,6,8,4] => 1000001 => 1
[6,1,2,3,8,7,4,5] => 1000110 => 2
[5,1,2,3,7,8,6,4] => 1000011 => 1
[5,1,2,3,8,7,6,4] => 1000111 => 1
[5,1,2,3,8,6,7,4] => 1000101 => 2
[6,1,2,3,5,8,7,4] => 1000011 => 1
[8,6,2,4,3,1,7,5] => 1101101 => 2
[7,6,3,2,4,8,1,5] => 1110010 => 2
[2,1,6,3,4,8,7,5] => 1010011 => 2
[8,6,3,2,4,7,1,5] => 1110010 => 2
[7,6,2,4,3,1,8,5] => 1101101 => 2
[6,1,2,3,5,7,8,4] => 1000001 => 1
[5,1,2,3,6,8,7,4] => 1000011 => 1
[7,8,1,2,6,3,5,4] => 0100101 => 2
[1,4,8,2,7,3,5,6] => 0010100 => 2
[1,2,8,5,4,7,3,6] => 0011010 => 2
[1,3,8,5,4,2,7,6] => 0011101 => 1
[2,3,6,8,4,7,1,5] => 0001010 => 2
[1,3,6,8,4,7,5,2] => 0001011 => 1
[2,4,8,1,7,3,6,5] => 0010101 => 2
[3,4,8,5,7,6,1,2] => 0010110 => 2
[1,2,6,8,4,5,7,3] => 0001001 => 1
[7,5,1,2,4,3,6,8] => 1100100 => 2
[7,4,6,1,5,2,3,8] => 1010100 => 3
[7,1,4,2,6,3,5,8] => 1010100 => 3
[6,8,1,4,7,2,3,5] => 0100100 => 2
[1,6,4,2,8,3,5,7] => 0110100 => 2
[1,6,3,8,5,4,2,7] => 0101110 => 2
[6,8,1,7,3,5,4,2] => 0101011 => 2
[7,1,3,6,5,4,2,8] => 1001110 => 2
[7,3,1,6,5,4,2,8] => 1101110 => 2
[7,2,1,4,6,3,5,8] => 1100100 => 2
[7,2,3,6,5,1,4,8] => 1001100 => 2
[7,1,2,3,6,5,4,8] => 1000110 => 2
[6,8,1,2,7,3,5,4] => 0100101 => 2
[1,6,2,3,8,5,4,7] => 0100110 => 2
[1,5,8,2,7,6,3,4] => 0010110 => 2
[5,1,8,2,7,6,3,4] => 1010110 => 3
[5,8,2,7,6,3,4,1] => 0101101 => 2
[6,2,8,1,7,3,5,4] => 1010101 => 3
[6,8,2,1,7,4,3,5] => 0110110 => 2
[3,6,4,1,2,8,5,7] => 0110010 => 2
[2,1,6,3,8,5,4,7] => 1010110 => 3
[2,5,1,8,7,6,3,4] => 0101110 => 2
[2,5,3,8,7,4,6,1] => 0101101 => 2
[1,2,5,3,8,7,4,6] => 0010110 => 2
[2,4,8,7,6,5,1,3] => 0011110 => 1
[2,5,3,8,7,1,6,4] => 0101101 => 2
[2,5,8,4,1,7,6,3] => 0011011 => 1
[3,5,8,7,1,4,2,6] => 0011010 => 2
[5,3,8,4,1,7,6,2] => 1011011 => 2
[4,2,8,7,6,3,5,1] => 1011101 => 2
[4,2,8,7,6,5,3,1] => 1011111 => 1
[4,1,8,7,6,5,3,2] => 1011111 => 1
[4,3,8,7,6,5,1,2] => 1011110 => 2
[6,3,1,8,7,2,5,4] => 1101101 => 2
[5,8,3,7,6,1,4,2] => 0101101 => 2
[5,1,3,8,7,6,2,4] => 1001110 => 2
[1,5,3,8,7,6,2,4] => 0101110 => 2
[1,5,8,4,7,2,6,3] => 0010101 => 2
[5,1,8,4,7,2,6,3] => 1010101 => 3
[5,8,7,4,6,1,2,3] => 0110100 => 2
[6,8,5,1,2,4,7,3] => 0110001 => 1
[5,6,3,1,2,4,8,7] => 0110001 => 1
[5,6,2,4,3,1,8,7] => 0101101 => 2
[5,6,1,2,4,3,8,7] => 0100101 => 2
[4,5,8,1,7,2,3,6] => 0010100 => 2
[4,5,8,1,7,2,6,3] => 0010101 => 2
[1,3,2,5,8,7,4,6] => 0100110 => 2
[3,5,1,8,7,4,6,2] => 0101101 => 2
[3,5,1,8,7,2,6,4] => 0101101 => 2
[4,3,6,1,2,8,5,7] => 1010010 => 3
[4,5,8,3,1,7,2,6] => 0011010 => 2
[4,5,2,8,7,1,3,6] => 0101100 => 2
[3,2,5,8,7,1,6,4] => 1001101 => 2
[3,4,8,7,6,2,1,5] => 0011110 => 1
[3,1,4,8,7,6,2,5] => 1001110 => 2
[3,4,8,7,6,5,1,2] => 0011110 => 1
[1,3,4,8,7,6,2,5] => 0001110 => 1
[3,4,8,7,6,2,5,1] => 0011101 => 1
[3,2,5,8,7,4,6,1] => 1001101 => 2
[4,5,8,3,1,7,6,2] => 0011011 => 1
[2,1,3,5,8,7,4,6] => 1000110 => 2
[1,2,7,5,8,6,4,3] => 0010111 => 1
[7,1,4,8,2,6,5,3] => 1001011 => 2
[6,8,1,3,7,5,2,4] => 0100110 => 2
[3,7,8,1,2,6,5,4] => 0010011 => 1
[1,3,7,8,2,6,5,4] => 0001011 => 1
[2,3,7,8,1,6,5,4] => 0001011 => 1
[2,7,8,1,3,6,5,4] => 0010011 => 1
[8,1,2,6,7,3,5,4] => 1000101 => 2
[8,1,2,6,7,5,3,4] => 1000110 => 2
[8,2,5,7,1,3,6,4] => 1001001 => 2
[2,8,1,6,7,3,5,4] => 0100101 => 2
[2,6,8,3,7,1,5,4] => 0010101 => 2
[2,8,6,4,7,1,5,3] => 0110101 => 2
[6,8,3,4,1,7,5,2] => 0101011 => 2
[6,8,3,7,4,1,5,2] => 0101101 => 2
[2,6,8,3,7,5,1,4] => 0010110 => 2
[2,8,1,6,7,5,3,4] => 0100110 => 2
[8,2,5,7,1,6,3,4] => 1001010 => 3
[8,4,7,2,3,6,1,5] => 1010010 => 3
[8,5,7,4,2,6,1,3] => 1011010 => 3
[8,3,5,7,4,1,6,2] => 1001101 => 2
[8,5,2,4,7,1,6,3] => 1100101 => 2
[8,2,3,5,7,1,6,4] => 1000101 => 2
[8,2,4,7,3,6,1,5] => 1001010 => 3
[8,2,7,1,4,6,3,5] => 1010010 => 3
[8,7,1,2,4,6,3,5] => 1100010 => 2
[8,7,1,4,6,2,3,5] => 1100100 => 2
[8,4,7,1,3,6,2,5] => 1010010 => 3
[1,6,8,3,7,2,5,4] => 0010101 => 2
[8,3,5,7,1,2,6,4] => 1001001 => 2
[5,8,7,1,3,6,2,4] => 0110010 => 2
[8,5,4,7,1,6,2,3] => 1101010 => 3
[8,5,4,7,1,2,6,3] => 1101001 => 2
[8,5,1,4,7,2,6,3] => 1100101 => 2
[1,4,6,8,2,7,5,3] => 0001011 => 1
[1,6,5,8,2,7,4,3] => 0101011 => 2
[8,5,6,3,1,7,4,2] => 1011011 => 2
[5,6,2,8,1,7,4,3] => 0101011 => 2
[1,8,4,5,7,2,6,3] => 0100101 => 2
[5,8,7,3,6,1,2,4] => 0110100 => 2
[8,3,5,7,1,6,2,4] => 1001010 => 3
[1,6,8,3,7,5,2,4] => 0010110 => 2
[6,3,8,2,7,5,1,4] => 1010110 => 3
[6,8,4,2,7,1,5,3] => 0110101 => 2
[8,6,4,7,3,1,5,2] => 1101101 => 2
[8,4,5,7,3,1,6,2] => 1001101 => 2
[8,4,2,5,7,1,6,3] => 1100101 => 2
[8,3,4,7,2,6,1,5] => 1001010 => 3
[8,7,1,3,4,6,2,5] => 1100010 => 2
[8,3,7,2,4,6,1,5] => 1010010 => 3
[2,8,4,5,7,1,6,3] => 0100101 => 2
[8,7,3,4,5,1,6,2] => 1100101 => 2
[8,7,4,5,2,6,1,3] => 1101010 => 3
[5,8,7,2,3,6,1,4] => 0110010 => 2
[8,7,2,3,4,6,1,5] => 1100010 => 2
[8,7,2,3,6,1,4,5] => 1100100 => 2
[1,3,2,8,5,4,7,6] => 0101101 => 2
[4,2,8,5,3,7,1,6] => 1011010 => 3
[5,2,1,8,4,3,7,6] => 1101101 => 2
[6,2,8,4,3,7,5,1] => 1011011 => 2
[7,2,8,4,3,1,6,5] => 1011101 => 2
[7,3,4,8,2,1,6,5] => 1001101 => 2
[6,3,4,8,2,7,5,1] => 1001011 => 2
[5,3,4,1,8,2,7,6] => 1010101 => 3
[8,1,4,5,2,3,7,6] => 1001001 => 2
[8,1,5,4,3,2,7,6] => 1011101 => 2
[3,5,4,2,8,1,7,6] => 0110101 => 2
[4,5,3,2,8,7,1,6] => 0110110 => 2
[6,4,3,2,8,7,5,1] => 1110111 => 1
[6,5,3,2,1,7,8,4] => 1111001 => 1
[5,6,3,2,7,8,4,1] => 0110011 => 1
[4,1,6,3,2,7,8,5] => 1011001 => 2
[3,6,4,2,7,8,1,5] => 0110010 => 2
[8,1,6,4,3,7,2,5] => 1011010 => 3
[8,1,7,4,3,6,5,2] => 1011011 => 2
[2,7,4,1,3,6,5,8] => 0110010 => 2
[3,7,4,2,6,1,5,8] => 0110100 => 2
[4,1,7,3,2,6,5,8] => 1011010 => 3
[5,7,3,2,6,4,8,1] => 0110101 => 2
[6,7,3,2,5,4,1,8] => 0110110 => 2
[7,6,3,2,1,5,4,8] => 1111010 => 2
[4,7,5,6,2,3,8,1] => 0101001 => 2
[3,1,7,5,6,2,4,8] => 1010100 => 3
[2,7,5,6,1,3,4,8] => 0101000 => 2
[2,6,5,7,1,3,8,4] => 0101001 => 2
[4,6,5,7,2,8,1,3] => 0101010 => 3
[5,6,4,7,2,8,3,1] => 0101011 => 2
[6,5,4,1,7,2,8,3] => 1110101 => 2
[7,5,4,6,2,1,8,3] => 1101101 => 2
[6,4,5,7,1,8,2,3] => 1001010 => 3
[5,4,6,1,7,8,2,3] => 1010010 => 3
[8,1,5,6,7,2,3,4] => 1000100 => 2
[2,1,4,6,8,7,3,5] => 1000110 => 2
[3,4,6,8,7,1,2,5] => 0001100 => 1
[4,3,1,6,8,7,2,5] => 1100110 => 2
[5,3,6,8,7,2,4,1] => 1001101 => 2
[6,3,5,1,8,7,2,4] => 1010110 => 3
[7,3,5,8,6,2,1,4] => 1001110 => 2
[7,2,8,5,6,3,1,4] => 1010110 => 3
[6,2,8,5,1,7,3,4] => 1011010 => 3
[4,2,1,8,6,7,3,5] => 1101010 => 3
[1,3,2,8,6,7,4,5] => 0101010 => 3
[2,3,8,6,7,1,4,5] => 0010100 => 2
[8,1,3,2,6,7,4,5] => 1010010 => 3
[2,3,8,7,1,6,5,4] => 0011011 => 1
[4,2,8,7,6,1,5,3] => 1011101 => 2
[5,2,8,7,6,4,1,3] => 1011110 => 2
[7,2,1,8,6,5,4,3] => 1101111 => 1
[7,3,6,1,8,5,4,2] => 1010111 => 2
[6,3,7,8,5,4,2,1] => 1001111 => 1
[5,3,7,8,6,4,1,2] => 1001110 => 2
[4,3,1,7,8,6,5,2] => 1100111 => 1
[3,4,7,8,6,1,5,2] => 0001101 => 1
[8,1,5,7,6,2,4,3] => 1001101 => 2
[3,5,7,6,8,1,4,2] => 0010101 => 2
[4,5,7,6,8,3,1,2] => 0010110 => 2
[5,4,1,7,6,8,3,2] => 1101011 => 2
[6,4,7,5,8,3,2,1] => 1010111 => 2
[7,4,6,5,1,8,3,2] => 1011011 => 2
[7,5,6,4,3,1,8,2] => 1011101 => 2
[6,5,1,7,4,3,8,2] => 1101101 => 2
[4,6,7,5,3,8,1,2] => 0011010 => 2
[3,6,7,5,1,4,8,2] => 0011001 => 1
[8,1,6,7,5,4,2,3] => 1001110 => 2
[8,1,7,6,5,4,3,2] => 1011111 => 1
[2,7,6,1,5,4,3,8] => 0110110 => 2
[3,7,6,5,1,4,2,8] => 0111010 => 2
[4,7,6,5,3,1,2,8] => 0111100 => 1
[8,6,4,3,1,5,7,2] => 1111001 => 1
[8,6,4,1,5,2,7,3] => 1110101 => 2
[8,6,5,1,3,2,7,4] => 1110101 => 2
[8,6,3,1,7,2,4,5] => 1110100 => 2
[8,7,3,1,5,2,4,6] => 1110100 => 2
[5,3,1,7,2,4,6,8] => 1101000 => 2
[8,7,1,2,4,5,3,6] => 1100010 => 2
[8,6,1,2,4,7,3,5] => 1100010 => 2
[8,5,1,2,6,7,3,4] => 1100010 => 2
[8,5,1,6,4,2,7,3] => 1101101 => 2
[8,5,1,3,6,4,7,2] => 1100101 => 2
[8,6,1,5,3,4,7,2] => 1101001 => 2
[8,6,1,5,2,4,7,3] => 1101001 => 2
[8,6,1,2,5,7,3,4] => 1100010 => 2
[8,6,1,2,7,4,3,5] => 1100110 => 2
[8,7,1,2,5,4,3,6] => 1100110 => 2
[5,1,4,2,3,8,6,7] => 1010010 => 3
[5,1,4,2,7,3,6,8] => 1010100 => 3
[7,1,5,8,2,6,3,4] => 1001010 => 3
[5,7,8,1,2,4,6,3] => 0010001 => 1
[5,7,8,1,3,4,6,2] => 0010001 => 1
[5,8,1,7,3,4,6,2] => 0101001 => 2
[8,1,5,7,2,4,6,3] => 1001001 => 2
[8,4,1,2,7,6,3,5] => 1100110 => 2
[1,4,2,3,8,7,5,6] => 0100110 => 2
[1,4,2,7,6,3,5,8] => 0101100 => 2
[6,1,2,8,7,5,3,4] => 1001110 => 2
[6,1,2,4,8,7,5,3] => 1000111 => 1
[3,1,8,4,6,7,5,2] => 1010011 => 2
[3,1,7,6,4,8,5,2] => 1011011 => 2
[7,1,2,4,6,8,5,3] => 1000011 => 1
[7,1,2,6,8,5,3,4] => 1000110 => 2
[6,1,2,7,8,5,3,4] => 1000110 => 2
[6,1,2,7,4,8,5,3] => 1001011 => 2
[3,1,6,4,7,8,5,2] => 1010011 => 2
[5,7,1,3,8,4,6,2] => 0100101 => 2
[5,7,1,8,4,2,6,3] => 0101101 => 2
[7,1,5,3,2,8,6,4] => 1011011 => 2
[7,1,4,5,2,8,6,3] => 1001011 => 2
[4,7,3,1,5,8,6,2] => 0110011 => 1
[4,8,7,3,1,5,6,2] => 0111001 => 1
[8,1,7,4,5,2,6,3] => 1010101 => 3
[8,1,7,5,3,2,6,4] => 1011101 => 2
[8,3,7,1,2,6,4,5] => 1010010 => 3
[3,1,2,8,4,7,5,6] => 1001010 => 3
[3,1,2,8,6,4,5,7] => 1001100 => 2
[3,1,7,2,6,4,5,8] => 1010100 => 3
[1,4,2,3,8,6,5,7] => 0100110 => 2
[1,4,2,3,8,5,7,6] => 0100101 => 2
[5,8,1,7,2,4,6,3] => 0101001 => 2
[5,8,1,3,4,7,6,2] => 0100011 => 1
[3,1,8,6,4,7,5,2] => 1011011 => 2
[8,1,2,6,7,4,5,3] => 1000101 => 2
[6,1,2,8,7,3,5,4] => 1001101 => 2
[1,2,3,5,8,4,7,6] => 0000101 => 1
[1,2,3,5,8,6,4,7] => 0000110 => 1
[7,1,2,8,3,6,5,4] => 1001011 => 2
[7,1,2,8,6,4,5,3] => 1001101 => 2
[3,1,7,8,4,6,5,2] => 1001011 => 2
[3,1,8,7,6,4,5,2] => 1011101 => 2
[8,1,2,7,4,6,5,3] => 1001011 => 2
[8,1,2,7,3,6,5,4] => 1001011 => 2
[1,2,3,5,8,7,4,6] => 0000110 => 1
[1,2,3,6,8,5,4,7] => 0000110 => 1
[7,8,5,6,3,1,4,2] => 0101101 => 2
[7,8,5,3,6,1,2,4] => 0110100 => 2
[7,5,6,3,1,4,2,8] => 1011010 => 3
[7,5,8,3,1,4,2,6] => 1011010 => 3
[7,8,5,3,1,4,2,6] => 0111010 => 2
[7,8,5,3,1,6,2,4] => 0111010 => 2
[7,8,5,3,1,6,4,2] => 0111011 => 1
[7,8,5,3,6,1,4,2] => 0110101 => 2
[7,8,5,3,6,4,1,2] => 0110110 => 2
[7,8,5,3,4,1,6,2] => 0110101 => 2
[7,8,5,3,1,4,6,2] => 0111001 => 1
[7,8,5,3,1,2,6,4] => 0111001 => 1
[7,5,3,8,1,2,6,4] => 1101001 => 2
[7,5,8,3,4,1,6,2] => 1010101 => 3
[7,5,8,3,4,6,1,2] => 1010010 => 3
[7,5,6,3,4,1,8,2] => 1010101 => 3
[7,5,6,3,1,4,8,2] => 1011001 => 2
[7,5,6,3,1,2,8,4] => 1011001 => 2
[7,5,3,6,1,2,8,4] => 1101001 => 2
[7,5,3,4,1,2,8,6] => 1101001 => 2
[7,5,3,1,4,2,6,8] => 1110100 => 2
[7,5,3,1,4,2,8,6] => 1110101 => 2
[7,5,3,1,6,2,8,4] => 1110101 => 2
[7,5,3,1,6,4,8,2] => 1110101 => 2
[7,5,3,6,1,4,8,2] => 1101001 => 2
[7,5,3,6,4,1,8,2] => 1101101 => 2
[7,5,3,6,4,8,1,2] => 1101010 => 3
[7,5,3,8,4,6,1,2] => 1101010 => 3
[7,5,3,8,1,4,6,2] => 1101001 => 2
[7,5,3,1,8,4,6,2] => 1110101 => 2
[7,5,3,1,8,2,6,4] => 1110101 => 2
[7,5,3,1,8,2,4,6] => 1110100 => 2
[7,5,3,1,6,2,4,8] => 1110100 => 2
[7,5,3,1,6,4,2,8] => 1110110 => 2
[7,5,3,1,8,4,2,6] => 1110110 => 2
[7,5,3,1,8,6,2,4] => 1110110 => 2
[7,5,3,8,1,6,4,2] => 1101011 => 2
[7,5,3,8,6,1,4,2] => 1101101 => 2
[7,5,3,8,6,4,1,2] => 1101110 => 2
[7,5,8,3,6,4,1,2] => 1010110 => 3
[7,5,8,3,6,1,4,2] => 1010101 => 3
[7,5,8,3,1,6,4,2] => 1011011 => 2
[7,5,8,3,1,6,2,4] => 1011010 => 3
[7,5,3,6,1,4,2,8] => 1101010 => 3
[7,5,3,6,4,1,2,8] => 1101100 => 2
[7,5,3,8,4,1,2,6] => 1101100 => 2
[7,5,8,6,3,1,2,4] => 1011100 => 2
[7,5,8,6,3,1,4,2] => 1011101 => 2
[7,5,8,6,3,4,1,2] => 1011010 => 3
[7,5,6,8,3,1,4,2] => 1001101 => 2
[7,5,6,3,8,1,2,4] => 1010100 => 3
[7,5,3,4,1,6,2,8] => 1101010 => 3
[7,5,3,4,1,8,2,6] => 1101010 => 3
[7,5,6,3,1,8,2,4] => 1011010 => 3
[7,5,6,3,1,8,4,2] => 1011011 => 2
[7,5,6,3,8,1,4,2] => 1010101 => 3
[7,5,6,3,8,4,1,2] => 1010110 => 3
[7,5,3,6,8,4,1,2] => 1100110 => 2
[7,5,3,6,8,1,4,2] => 1100101 => 2
[7,5,3,6,1,8,4,2] => 1101011 => 2
[7,5,3,1,6,8,4,2] => 1110011 => 1
[7,5,3,1,6,8,2,4] => 1110010 => 2
[7,5,3,1,4,8,2,6] => 1110010 => 2
[7,5,3,1,4,6,2,8] => 1110010 => 2
[7,5,3,1,2,6,4,8] => 1110010 => 2
[7,5,3,1,2,8,4,6] => 1110010 => 2
[7,5,3,1,2,8,6,4] => 1110011 => 1
[7,5,3,1,4,8,6,2] => 1110011 => 1
[7,5,3,4,1,8,6,2] => 1101011 => 2
[7,5,3,4,8,1,6,2] => 1100101 => 2
[7,5,3,4,8,6,1,2] => 1100110 => 2
[7,5,3,4,6,1,8,2] => 1100101 => 2
[7,5,3,4,1,6,8,2] => 1101001 => 2
[7,5,3,1,4,6,8,2] => 1110001 => 1
[7,5,3,1,2,6,8,4] => 1110001 => 1
[7,5,3,1,2,4,8,6] => 1110001 => 1
[3,6,2,5,4,1,8,7] => 0101101 => 2
[3,5,2,8,4,7,6,1] => 0101011 => 2
[5,4,7,3,2,8,6,1] => 1011011 => 2
[5,4,8,3,2,7,6,1] => 1011011 => 2
[6,4,5,3,2,1,8,7] => 1011101 => 2
[5,3,2,6,4,1,8,7] => 1101101 => 2
[4,5,8,3,2,7,6,1] => 0011011 => 1
[4,7,6,3,8,5,2,1] => 0110111 => 1
[4,8,6,3,7,5,2,1] => 0110111 => 1
[4,8,5,3,2,7,6,1] => 0111011 => 1
[5,8,4,3,2,7,6,1] => 0111011 => 1
[5,3,2,8,4,7,6,1] => 1101011 => 2
[2,1,5,8,4,7,6,3] => 1001011 => 2
[5,3,2,7,4,8,6,1] => 1101011 => 2
[5,7,4,3,2,8,6,1] => 0111011 => 1
[4,7,5,3,2,8,6,1] => 0111011 => 1
[4,7,8,3,6,5,2,1] => 0010111 => 1
[4,6,8,3,7,5,2,1] => 0010111 => 1
[7,6,4,3,8,5,2,1] => 1110111 => 1
[7,3,2,6,8,5,4,1] => 1100111 => 1
[2,1,8,6,7,5,4,3] => 1010111 => 2
[8,3,2,6,7,5,4,1] => 1100111 => 1
[8,6,4,3,7,5,2,1] => 1110111 => 1
[8,5,7,6,4,3,2,1] => 1011111 => 1
[8,4,5,3,2,7,6,1] => 1011011 => 2
[8,4,7,3,6,5,2,1] => 1010111 => 2
[8,4,6,3,7,5,2,1] => 1010111 => 2
[7,4,6,3,8,5,2,1] => 1010111 => 2
[3,7,2,6,8,5,4,1] => 0100111 => 1
[3,8,2,6,7,5,4,1] => 0100111 => 1
[3,8,2,5,4,7,6,1] => 0101011 => 2
[3,7,2,8,6,5,4,1] => 0101111 => 1
[3,6,2,8,7,5,4,1] => 0101111 => 1
[6,4,7,3,8,5,2,1] => 1010111 => 2
[6,4,8,3,7,5,2,1] => 1010111 => 2
[7,4,8,3,6,5,2,1] => 1010111 => 2
[7,4,5,3,2,8,6,1] => 1011011 => 2
[7,5,4,3,2,8,6,1] => 1111011 => 1
[7,3,2,5,4,8,6,1] => 1101011 => 2
[2,1,7,5,4,8,6,3] => 1011011 => 2
[7,3,2,8,6,5,4,1] => 1101111 => 1
[7,8,4,3,6,5,2,1] => 0110111 => 1
[6,8,5,7,4,3,2,1] => 0101111 => 1
[6,8,4,3,7,5,2,1] => 0110111 => 1
[6,3,2,8,7,5,4,1] => 1101111 => 1
[6,3,2,7,8,5,4,1] => 1100111 => 1
[6,7,4,3,8,5,2,1] => 0110111 => 1
[2,3,1,4,5,6,7,8,9] => 01000000 => 1
[2,3,4,1,5,6,7,8,9] => 00100000 => 1
[2,3,4,5,1,6,7,8,9] => 00010000 => 1
[2,3,4,5,6,1,7,8,9] => 00001000 => 1
[2,3,1,4,5,6,7,8,9,10] => 010000000 => 1
[2,4,3,1,5,6,7,8,9] => 01100000 => 1
[2,3,4,1,5,6,7,8,9,10] => 001000000 => 1
[2,3,5,4,1,6,7,8,9] => 00110000 => 1
[2,3,4,5,1,6,7,8,9,10] => 000100000 => 1
[2,3,4,6,5,1,7,8,9] => 00011000 => 1
[2,3,4,5,6,1,7,8,9,10] => 000010000 => 1
[2,3,4,5,7,6,1,8,9] => 00001100 => 1
[2,3,4,5,6,7,1,8,9,10] => 000001000 => 1
[2,3,4,5,6,8,7,1,9] => 00000110 => 1
[2,3,4,5,6,7,8,1,9,10] => 000000100 => 1
[2,3,4,5,6,7,9,8,1] => 00000011 => 0
[4,6,8,3,5,7,1,2] => 0010010 => 2
[6,8,1,2,4,5,7,3] => 0100001 => 1
[3,5,8,2,4,7,1,6] => 0010010 => 2
[8,3,5,2,4,1,6,7] => 1010100 => 3
[4,2,5,7,3,6,1,8] => 1001010 => 3
[4,5,2,8,3,1,6,7] => 0101100 => 2
[4,2,5,8,3,7,1,6] => 1001010 => 3
[2,1,6,8,4,7,3,5] => 1001010 => 3
[1,2,5,8,3,6,7,4] => 0001001 => 1
[5,3,6,8,4,7,1,2] => 1001010 => 3
[1,6,5,8,2,4,7,3] => 0101001 => 2
[3,1,2,6,8,5,7,4] => 1000101 => 2
[1,4,3,8,2,6,7,5] => 0101001 => 2
[5,4,8,3,2,1,6,7] => 1011100 => 2
[5,4,3,7,2,6,1,8] => 1101010 => 3
[4,3,6,2,7,5,1,8] => 1010110 => 3
[4,6,3,2,1,8,5,7] => 0111010 => 2
[4,1,7,3,2,5,8,6] => 1011001 => 2
[4,3,1,7,8,2,6,5] => 1100101 => 2
[3,5,1,2,7,8,6,4] => 0100011 => 1
[7,5,1,4,8,2,6,3] => 1100101 => 2
[5,4,7,3,8,6,1,2] => 1010110 => 3
[5,8,4,7,6,3,1,2] => 0101110 => 2
[5,8,7,1,4,2,6,3] => 0110101 => 2
[8,3,5,1,2,7,6,4] => 1010011 => 2
[4,8,3,1,7,2,6,5] => 0110101 => 2
[1,8,4,3,5,2,7,6] => 0110101 => 2
[4,6,3,1,5,2,8,7] => 0110101 => 2
[4,7,3,6,5,2,1,8] => 0101110 => 2
[5,3,7,6,4,2,1,8] => 1011110 => 2
[1,6,3,4,2,8,7,5] => 0101011 => 2
[1,8,3,6,2,7,5,4] => 0101011 => 2
[1,6,8,7,4,2,5,3] => 0011101 => 1
[6,4,8,7,5,3,1,2] => 1011110 => 2
[7,6,4,3,8,5,1,2] => 1110110 => 2
[1,7,6,2,8,4,5,3] => 0110101 => 2
[7,1,3,2,6,8,5,4] => 1010011 => 2
[1,5,3,2,7,4,8,6] => 0110101 => 2
[6,3,2,1,8,5,4,7] => 1110110 => 2
[6,5,3,2,7,4,1,8] => 1110110 => 2
[5,2,6,3,7,4,1,8] => 1010110 => 3
[2,8,5,3,1,6,4,7] => 0111010 => 2
[2,1,7,3,8,5,4,6] => 1010110 => 3
[1,6,2,3,7,8,5,4] => 0100011 => 1
[1,6,7,2,8,4,5,3] => 0010101 => 2
[5,7,1,8,2,4,6,3] => 0101001 => 2
[5,1,2,7,8,3,6,4] => 1000101 => 2
[2,4,1,7,8,6,3,5] => 0100110 => 2
[4,2,1,7,3,8,5,6] => 1101010 => 3
[6,2,8,4,3,1,5,7] => 1011100 => 2
[7,3,2,1,8,4,5,6] => 1110100 => 2
[7,8,3,2,5,6,1,4] => 0110010 => 2
[7,1,8,2,4,5,6,3] => 1010001 => 2
[8,7,6,1,2,4,5,3] => 1110001 => 1
[8,3,7,6,2,1,4,5] => 1011100 => 2
[3,2,8,7,5,1,4,6] => 1011100 => 2
[8,3,6,5,2,1,4,7] => 1011100 => 2
[7,6,3,5,2,4,1,8] => 1101010 => 3
[7,4,6,2,5,3,1,8] => 1010110 => 3
[8,2,4,1,6,5,3,7] => 1010110 => 3
[4,2,8,1,7,5,3,6] => 1010110 => 3
[8,2,4,1,7,6,3,5] => 1010110 => 3
[8,7,1,5,6,2,4,3] => 1100101 => 2
[8,5,7,3,6,4,1,2] => 1010110 => 3
[6,8,3,7,5,4,1,2] => 0101110 => 2
[8,1,6,7,5,2,4,3] => 1001101 => 2
[8,1,2,6,4,3,7,5] => 1001101 => 2
[2,8,1,7,5,4,3,6] => 0101110 => 2
[2,5,1,8,6,4,3,7] => 0101110 => 2
[5,7,2,6,4,3,1,8] => 0101110 => 2
[6,2,7,5,4,3,1,8] => 1011110 => 2
[2,1,8,6,5,4,3,7] => 1011110 => 2
[1,2,7,5,4,3,8,6] => 0011101 => 1
[1,7,2,4,3,8,6,5] => 0101011 => 2
[1,7,2,8,3,6,5,4] => 0101011 => 2
[1,7,8,6,5,2,4,3] => 0011101 => 1
[7,3,8,6,5,4,1,2] => 1011110 => 2
[1,8,7,6,5,2,4,3] => 0111101 => 1
[8,1,7,3,2,6,5,4] => 1011011 => 2
[5,1,4,3,2,8,7,6] => 1011011 => 2
[8,6,5,3,2,1,7,4] => 1111101 => 1
[8,6,3,2,1,7,4,5] => 1111010 => 2
[8,6,5,4,1,7,2,3] => 1111010 => 2
[8,6,5,1,7,3,2,4] => 1110110 => 2
[8,6,1,7,4,3,2,5] => 1101110 => 2
[4,6,3,2,7,5,1,8] => 0110110 => 2
[1,4,3,7,2,5,8,6] => 0101001 => 2
[7,4,8,3,1,6,2,5] => 1011010 => 3
[7,1,5,8,3,2,6,4] => 1001101 => 2
[5,7,4,1,8,2,6,3] => 0110101 => 2
[5,7,4,3,1,8,6,2] => 0111011 => 1
[1,8,7,2,5,4,6,3] => 0110101 => 2
[1,8,5,3,7,2,6,4] => 0110101 => 2
[4,3,1,8,7,5,2,6] => 1101110 => 2
[1,4,8,6,3,5,2,7] => 0011010 => 2
[7,4,6,3,5,2,1,8] => 1010110 => 3
[1,3,5,6,8,4,2,7] => 0000110 => 1
[3,5,4,8,7,1,2,6] => 0101100 => 2
[3,1,4,6,8,7,2,5] => 1000110 => 2
[1,6,3,8,7,2,5,4] => 0101101 => 2
[1,6,2,4,8,7,5,3] => 0100111 => 1
[8,4,1,6,7,5,3,2] => 1100111 => 1
[7,1,6,4,8,5,2,3] => 1010110 => 3
[7,3,6,8,5,1,2,4] => 1001100 => 2
[1,3,7,2,6,8,4,5] => 0010010 => 2
[3,6,5,2,8,1,4,7] => 0110100 => 2
[3,6,5,7,2,4,1,8] => 0101010 => 3
[4,2,6,3,8,1,5,7] => 1010100 => 3
[4,2,6,7,3,5,1,8] => 1001010 => 3
[3,6,2,4,7,5,1,8] => 0100110 => 2
[3,6,2,4,1,8,5,7] => 0101010 => 3
[7,3,8,2,1,6,4,5] => 1011010 => 3
[7,3,5,2,1,8,6,4] => 1011011 => 2
[8,7,6,4,3,1,5,2] => 1111101 => 1
[8,7,6,4,1,5,2,3] => 1111010 => 2
[3,8,7,2,1,4,6,5] => 0111001 => 1
[3,8,2,7,1,5,4,6] => 0101010 => 3
[3,6,8,2,1,5,4,7] => 0011010 => 2
[2,4,8,1,6,5,3,7] => 0010110 => 2
[4,2,8,1,5,7,3,6] => 1010010 => 3
[8,5,7,6,1,4,2,3] => 1011010 => 3
[8,6,1,7,3,5,4,2] => 1101011 => 2
[8,6,1,7,5,4,2,3] => 1101110 => 2
[1,6,2,8,7,3,5,4] => 0101101 => 2
[1,8,2,4,6,7,3,5] => 0100010 => 2
[2,8,5,4,7,1,3,6] => 0110100 => 2
[2,1,5,8,6,4,3,7] => 1001110 => 2
[7,2,5,6,4,3,1,8] => 1001110 => 2
[1,2,5,7,8,4,3,6] => 0000110 => 1
[1,2,7,4,8,6,3,5] => 0010110 => 2
[1,2,7,8,3,6,5,4] => 0001011 => 1
[7,1,8,6,3,5,4,2] => 1011011 => 2
[1,8,7,6,3,5,2,4] => 0111010 => 2
[1,8,7,4,6,3,2,5] => 0110110 => 2
[7,1,5,8,3,4,6,2] => 1001001 => 2
[7,1,6,4,2,3,5,8] => 1011000 => 2
[8,6,2,4,7,3,5,1] => 1100101 => 2
[8,6,2,4,5,7,3,1] => 1100011 => 1
[2,7,1,4,5,8,3,6] => 0100010 => 2
[7,1,6,4,5,2,3,8] => 1010100 => 3
[7,1,4,5,6,8,2,3] => 1000010 => 2
[7,1,4,6,5,8,3,2] => 1001011 => 2
[7,1,2,3,8,5,4,6] => 1000110 => 2
[7,1,5,4,3,8,2,6] => 1011010 => 3
[7,1,3,4,2,6,8,5] => 1001001 => 2
[7,1,5,4,6,2,8,3] => 1010101 => 3
[7,1,5,6,4,3,8,2] => 1001101 => 2
[7,1,6,5,4,3,2,8] => 1011110 => 2
[8,6,2,5,4,3,7,1] => 1101101 => 2
[2,5,1,7,4,3,6,8] => 0101100 => 2
[2,5,1,4,7,8,6,3] => 0100011 => 1
[3,5,1,4,8,6,2,7] => 0100110 => 2
[3,6,2,4,7,8,1,5] => 0100010 => 2
[5,6,2,4,8,7,1,3] => 0100110 => 2
[6,3,8,2,4,7,1,5] => 1010010 => 3
[6,5,8,7,2,3,1,4] => 1011010 => 3
[6,5,7,8,2,4,1,3] => 1001010 => 3
[6,3,4,2,8,5,1,7] => 1010110 => 3
[3,4,7,2,5,8,1,6] => 0010010 => 2
[4,6,8,1,3,5,2,7] => 0010010 => 2
[4,3,8,1,2,7,5,6] => 1010010 => 3
[3,6,4,1,7,2,5,8] => 0110100 => 2
[2,8,3,1,5,6,4,7] => 0110010 => 2
[3,8,7,1,5,4,2,6] => 0110110 => 2
[4,3,1,7,6,8,2,5] => 1101010 => 3
[3,4,1,7,5,6,8,2] => 0101001 => 2
[3,4,1,5,7,6,2,8] => 0100110 => 2
[3,7,4,1,6,2,8,5] => 0110101 => 2
[8,4,7,2,5,3,6,1] => 1010101 => 3
[4,7,8,1,2,3,6,5] => 0010001 => 1
[2,8,6,1,5,3,7,4] => 0110101 => 2
[7,6,5,1,3,8,2,4] => 1110010 => 2
[7,6,5,1,3,4,8,2] => 1110001 => 1
[7,2,6,4,1,3,8,5] => 1011001 => 2
[6,7,5,2,1,3,8,4] => 0111001 => 1
[8,4,5,3,7,2,6,1] => 1010101 => 3
[4,7,5,2,8,1,6,3] => 0110101 => 2
[2,6,4,3,1,5,7,8] => 0111000 => 1
[7,3,8,4,1,5,2,6] => 1011010 => 3
[7,2,3,4,1,6,5,8] => 1001010 => 3
[4,2,8,3,6,1,5,7] => 1010100 => 3
[6,8,5,7,2,1,3,4] => 0101100 => 2
[4,8,5,2,7,1,3,6] => 0110100 => 2
[6,3,5,2,1,7,4,8] => 1011010 => 3
[6,8,5,3,1,4,2,7] => 0111010 => 2
[3,6,5,4,2,8,1,7] => 0111010 => 2
[1,6,4,7,2,5,3,8] => 0101010 => 3
[1,6,4,8,2,5,3,7] => 0101010 => 3
[1,6,5,8,2,4,3,7] => 0101010 => 3
[1,6,8,2,4,3,7,5] => 0010101 => 2
[1,6,2,4,3,7,8,5] => 0101001 => 2
[1,5,6,2,4,7,3,8] => 0010010 => 2
[1,5,6,2,4,7,8,3] => 0010001 => 1
[1,5,8,2,4,7,3,6] => 0010010 => 2
[1,5,7,2,4,8,3,6] => 0010010 => 2
[1,6,5,7,2,4,3,8] => 0101010 => 3
[1,6,7,2,4,3,8,5] => 0010101 => 2
[1,5,6,7,2,4,8,3] => 0001001 => 1
[1,5,8,2,4,6,7,3] => 0010001 => 1
[1,5,7,2,4,6,8,3] => 0010001 => 1
[1,5,7,8,3,2,4,6] => 0001100 => 1
[1,5,8,3,2,4,6,7] => 0011000 => 1
[1,5,6,2,4,8,3,7] => 0010010 => 2
[1,7,6,2,8,3,4,5] => 0110100 => 2
[1,7,3,4,2,8,6,5] => 0101011 => 2
[1,6,2,4,3,8,7,5] => 0101011 => 2
[1,5,6,2,4,8,7,3] => 0010011 => 1
[1,5,8,7,3,2,4,6] => 0011100 => 1
[1,4,2,3,5,8,7,6] => 0100011 => 1
[1,5,2,3,4,8,7,6] => 0100011 => 1
[1,6,5,2,3,8,7,4] => 0110011 => 1
[1,7,4,2,8,6,5,3] => 0110111 => 1
[1,7,6,5,2,8,4,3] => 0111011 => 1
[1,6,7,5,2,3,8,4] => 0011001 => 1
[1,7,5,2,8,4,3,6] => 0110110 => 2
[1,7,5,6,2,8,3,4] => 0101010 => 3
[1,5,7,6,2,4,8,3] => 0011001 => 1
[1,5,8,3,2,4,7,6] => 0011001 => 1
[1,6,5,2,3,7,4,8] => 0110010 => 2
[1,6,5,2,3,7,8,4] => 0110001 => 1
[1,6,8,4,2,3,7,5] => 0011001 => 1
[1,7,4,6,2,8,3,5] => 0101010 => 3
[1,7,3,5,2,8,4,6] => 0101010 => 3
[1,6,8,5,2,3,7,4] => 0011001 => 1
[1,6,4,2,3,7,8,5] => 0110001 => 1
[1,6,4,2,3,7,5,8] => 0110010 => 2
[1,5,8,6,2,4,7,3] => 0011001 => 1
[1,5,7,3,2,4,8,6] => 0011001 => 1
[1,7,3,4,2,8,5,6] => 0101010 => 3
[1,7,4,2,8,5,3,6] => 0110110 => 2
[1,6,7,4,2,3,8,5] => 0011001 => 1
[1,6,4,2,3,8,5,7] => 0110010 => 2
[1,7,6,4,2,8,5,3] => 0111011 => 1
[1,7,5,2,8,6,4,3] => 0110111 => 1
[1,6,4,2,3,8,7,5] => 0110011 => 1
[7,3,5,6,1,4,8,2] => 1001001 => 2
[3,7,5,6,1,4,8,2] => 0101001 => 2
[8,2,4,1,6,7,5,3] => 1010011 => 2
[8,6,1,4,2,7,5,3] => 1101011 => 2
[3,6,1,4,2,8,5,7] => 0101010 => 3
[1,6,7,4,3,5,8,2] => 0011001 => 1
[6,7,1,4,3,5,8,2] => 0101001 => 2
[7,6,1,4,3,5,8,2] => 1101001 => 2
[3,5,4,1,6,7,8,2] => 0110001 => 1
[4,7,1,6,3,5,8,2] => 0101001 => 2
[3,1,4,7,6,5,8,2] => 1001101 => 2
[6,1,7,4,3,5,8,2] => 1011001 => 2
[7,1,6,4,3,5,8,2] => 1011001 => 2
[1,7,6,4,3,5,8,2] => 0111001 => 1
[8,1,6,4,2,7,5,3] => 1011011 => 2
[8,4,1,3,7,2,5,6] => 1100100 => 2
[4,7,1,3,8,2,5,6] => 0100100 => 2
[7,4,1,3,8,2,5,6] => 1100100 => 2
[1,3,6,4,2,8,5,7] => 0011010 => 2
[4,7,3,1,2,8,5,6] => 0110010 => 2
[4,7,8,1,2,6,5,3] => 0010011 => 1
[6,8,1,4,2,7,5,3] => 0101011 => 2
[1,8,6,4,2,7,5,3] => 0111011 => 1
[4,8,1,3,7,2,5,6] => 0100100 => 2
[8,7,1,3,6,2,5,4] => 1100101 => 2
[6,8,5,7,3,2,1,4] => 0101110 => 2
[1,8,4,3,7,2,5,6] => 0110100 => 2
[2,8,3,4,7,6,1,5] => 0100110 => 2
[3,7,8,4,6,2,1,5] => 0010110 => 2
[3,7,4,6,8,2,1,5] => 0100110 => 2
[2,4,3,7,8,6,1,5] => 0100110 => 2
[1,4,7,3,8,2,5,6] => 0010100 => 2
[5,7,6,8,3,2,1,4] => 0101110 => 2
[2,5,3,4,8,6,1,7] => 0100110 => 2
[3,7,5,4,8,2,1,6] => 0110110 => 2
[7,1,3,4,2,8,5,6] => 1001010 => 3
[6,1,4,3,8,2,5,7] => 1010100 => 3
[4,1,7,3,8,2,5,6] => 1010100 => 3
[8,1,4,3,7,2,5,6] => 1010100 => 3
[8,2,3,4,7,6,1,5] => 1000110 => 2
[4,2,3,7,8,6,1,5] => 1000110 => 2
[5,2,3,4,8,6,1,7] => 1000110 => 2
[2,7,5,6,3,8,1,4] => 0101010 => 3
[5,7,2,6,3,8,1,4] => 0101010 => 3
[5,7,2,6,8,4,1,3] => 0100110 => 2
[7,2,5,6,8,4,1,3] => 1000110 => 2
[4,2,3,8,5,6,1,7] => 1001010 => 3
[5,2,3,8,7,6,1,4] => 1001110 => 2
[8,2,3,7,5,6,1,4] => 1001010 => 3
[6,1,8,3,7,2,5,4] => 1010101 => 3
[1,7,8,4,2,6,5,3] => 0011011 => 1
[4,7,1,8,2,5,6,3] => 0101001 => 2
[3,7,4,8,5,2,1,6] => 0101110 => 2
[2,4,3,8,5,6,1,7] => 0101010 => 3
[1,4,8,3,6,2,5,7] => 0010100 => 2
[7,5,8,6,3,2,1,4] => 1011110 => 2
[6,5,8,7,3,2,1,4] => 1011110 => 2
[8,5,7,6,3,2,1,4] => 1011110 => 2
[2,5,3,8,7,6,1,4] => 0101110 => 2
[3,7,5,8,6,2,1,4] => 0101110 => 2
[3,7,8,6,5,2,1,4] => 0011110 => 1
[1,8,7,3,6,2,5,4] => 0110101 => 2
[6,8,7,5,3,2,1,4] => 0111110 => 1
[5,7,6,8,3,4,1,2] => 0101010 => 3
[3,7,6,8,4,5,1,2] => 0101010 => 3
[1,5,4,7,6,8,2,3] => 0101010 => 3
[1,7,4,6,5,8,2,3] => 0101010 => 3
[3,7,4,6,5,8,1,2] => 0101010 => 3
[3,5,4,8,6,7,1,2] => 0101010 => 3
[3,8,4,6,5,7,1,2] => 0101010 => 3
[3,6,4,7,5,8,1,2] => 0101010 => 3
[1,6,2,7,5,8,3,4] => 0101010 => 3
[1,6,4,8,5,7,2,3] => 0101010 => 3
[1,8,4,6,5,7,2,3] => 0101010 => 3
[1,5,4,8,6,7,2,3] => 0101010 => 3
[7,8,1,5,4,6,2,3] => 0101010 => 3
[7,8,1,5,2,4,3,6] => 0101010 => 3
[1,8,2,6,5,7,3,4] => 0101010 => 3
[1,7,2,8,5,6,3,4] => 0101010 => 3
[1,7,2,6,5,8,3,4] => 0101010 => 3
[1,5,2,7,6,8,3,4] => 0101010 => 3
[1,7,6,8,2,5,3,4] => 0101010 => 3
[1,7,6,8,4,5,2,3] => 0101010 => 3
[5,7,6,8,1,4,2,3] => 0101010 => 3
[7,8,5,6,1,3,2,4] => 0101010 => 3
[5,8,6,7,1,3,2,4] => 0101010 => 3
[1,3,2,7,6,8,4,5] => 0101010 => 3
[1,7,6,8,2,4,3,5] => 0101010 => 3
[7,8,1,3,2,6,4,5] => 0101010 => 3
[7,8,1,6,2,4,3,5] => 0101010 => 3
[1,8,6,7,2,4,3,5] => 0101010 => 3
[7,8,1,4,2,6,3,5] => 0101010 => 3
[7,8,1,4,2,5,3,6] => 0101010 => 3
[7,8,2,1,4,3,6,5] => 0110101 => 2
[7,8,1,2,4,3,5,6] => 0100100 => 2
[4,3,6,5,8,7,1,2] => 1010110 => 3
[3,4,6,5,7,8,1,2] => 0010010 => 2
[3,4,1,5,6,7,8,9,2] => 01000001 => 1
[3,4,5,1,6,7,8,9,2] => 00100001 => 1
[3,4,5,6,1,7,8,9,2] => 00010001 => 1
[3,4,5,6,7,1,8,9,2] => 00001001 => 1
[3,4,5,6,7,8,1,9,2] => 00000101 => 1
[3,1,2,5,6,7,8,9,4] => 10000001 => 1
[3,4,1,5,6,7,8,9,10,2] => 010000001 => 1
[3,4,1,2,6,7,8,9,5] => 01000001 => 1
[3,4,5,1,6,7,8,9,10,2] => 001000001 => 1
[3,4,5,1,2,7,8,9,6] => 00100001 => 1
[3,4,5,6,1,7,8,9,10,2] => 000100001 => 1
[3,4,5,6,1,2,8,9,7] => 00010001 => 1
[3,4,5,6,7,1,8,9,10,2] => 000010001 => 1
[3,4,5,6,7,1,2,9,8] => 00001001 => 1
[3,4,5,6,7,8,1,9,10,2] => 000001001 => 1
[3,4,5,6,7,8,1,2,9] => 00000100 => 1
[3,4,5,6,7,8,9,1,10,2] => 000000101 => 1
[1,6,2,3,8,7,4,5] => 0100110 => 2
[1,7,4,3,2,8,6,5] => 0111011 => 1
[1,4,7,6,2,5,8,3] => 0011001 => 1
[1,2,6,5,3,7,4,8] => 0011010 => 2
[1,2,6,5,3,7,8,4] => 0011001 => 1
[1,3,7,5,2,6,8,4] => 0011001 => 1
[1,3,7,4,2,6,8,5] => 0011001 => 1
[1,2,6,4,3,7,8,5] => 0011001 => 1
[1,2,6,4,3,7,5,8] => 0011010 => 2
[1,4,7,3,2,5,8,6] => 0011001 => 1
[1,4,3,2,5,8,6,7] => 0110010 => 2
[1,5,3,2,4,8,6,7] => 0110010 => 2
[1,7,5,3,2,8,6,4] => 0111011 => 1
[1,5,3,2,4,8,7,6] => 0110011 => 1
[7,6,5,4,3,1,8,2] => 1111101 => 1
[6,8,5,4,3,2,1,7] => 0111110 => 1
[8,7,6,5,4,3,1,9,2] => 11111101 => 1
[7,9,6,5,4,3,2,1,8] => 01111110 => 1
[9,8,7,6,5,4,3,1,10,2] => 111111101 => 1
[1,7,6,5,4,3,9,8,2] => 01111011 => 1
[7,1,5,4,3,8,6,2] => 1011011 => 2
[3,6,5,4,8,1,7,2] => 0110101 => 2
[6,8,1,4,3,2,7,5] => 0101101 => 2
[2,8,5,4,3,7,1,6] => 0111010 => 2
[1,9,6,5,4,3,2,8,7] => 01111101 => 1
[8,10,7,6,5,4,3,2,1,9] => 011111110 => 1
[10,9,8,7,6,5,4,3,1,11,2] => 1111111101 => 1
[1,8,7,6,5,4,3,10,9,2] => 011111011 => 1
[8,1,6,5,4,3,9,7,2] => 10111011 => 2
[3,7,6,5,4,9,1,8,2] => 01110101 => 2
[7,6,1,4,3,8,5,2] => 1101011 => 2
[4,6,5,8,3,1,7,2] => 0101101 => 2
[6,8,5,1,3,2,7,4] => 0110101 => 2
[1,8,2,4,3,7,6,5] => 0101011 => 2
[7,9,1,5,4,3,2,8,6] => 01011101 => 2
[3,8,5,4,7,2,1,6] => 0110110 => 2
[2,9,6,5,4,3,8,1,7] => 01111010 => 2
[1,10,7,6,5,4,3,2,9,8] => 011111101 => 1
[11,10,9,8,7,6,5,4,3,1,12,2] => 11111111101 => 1
[1,9,8,7,6,5,4,3,11,10,2] => 0111111011 => 1
[9,1,7,6,5,4,3,10,8,2] => 101111011 => 2
[3,8,7,6,5,4,10,1,9,2] => 011110101 => 2
[8,7,1,5,4,3,9,6,2] => 11011011 => 2
[1,3,6,5,4,9,8,7,2] => 00110111 => 1
[4,7,6,5,9,3,1,8,2] => 01101101 => 2
[7,6,5,1,3,8,4,2] => 1110011 => 1
[1,6,3,4,8,7,5,2] => 0100111 => 1
[1,4,5,8,3,7,6,2] => 0001011 => 1
[6,8,5,4,1,2,7,3] => 0111001 => 1
[1,8,5,2,3,7,6,4] => 0110011 => 1
[7,9,6,1,4,3,2,8,5] => 01101101 => 2
[6,8,2,4,3,7,1,5] => 0101010 => 3
[1,8,3,4,7,2,6,5] => 0100101 => 2
[1,9,2,5,4,3,8,7,6] => 01011011 => 2
[8,10,1,6,5,4,3,2,9,7] => 010111101 => 2
[7,5,8,4,3,2,1,6] => 1011110 => 2
[4,8,5,7,3,2,1,6] => 0101110 => 2
[3,9,6,5,4,8,2,1,7] => 01110110 => 2
[2,10,7,6,5,4,3,9,1,8] => 011111010 => 2
[1,11,8,7,6,5,4,3,2,10,9] => 0111111101 => 1
[5,1,7,6,8,4,3,2] => 1010111 => 2
[6,4,8,5,2,7,1,3] => 1011010 => 3
[5,1,8,6,7,4,3,2] => 1010111 => 2
[8,4,7,5,2,6,1,3] => 1011010 => 3
[5,4,6,8,2,1,7,3] => 1001101 => 2
[6,4,5,8,1,2,7,3] => 1001001 => 2
[7,4,6,5,2,1,8,3] => 1011101 => 2
[8,4,6,5,2,1,7,3] => 1011101 => 2
[4,8,7,5,6,1,3,2] => 0110101 => 2
[2,7,5,1,8,4,3,6] => 0110110 => 2
[5,1,8,7,4,2,3,6] => 1011100 => 2
[2,8,6,7,4,3,5,1] => 0101101 => 2
[3,6,5,2,4,1,8,7] => 0110101 => 2
[5,2,3,6,4,1,8,7] => 1001101 => 2
[6,1,4,5,3,2,8,7] => 1001101 => 2
[3,8,7,1,4,6,5,2] => 0110011 => 1
[5,7,1,2,4,3,8,6] => 0100101 => 2
[4,3,7,6,8,2,5,1] => 1010101 => 3
[5,3,6,8,1,7,2,4] => 1001010 => 3
[3,2,6,8,5,7,1,4] => 1001010 => 3
[6,3,7,2,4,8,5,1] => 1010011 => 2
[7,4,8,6,5,2,1,3] => 1011110 => 2
[7,1,8,2,5,4,3,6] => 1010110 => 3
[2,5,3,7,4,1,8,6] => 0101101 => 2
[3,6,4,7,5,1,8,2] => 0101101 => 2
[8,4,7,6,2,3,1,5] => 1011010 => 3
[8,4,7,1,2,5,6,3] => 1010001 => 2
[4,2,8,7,3,5,6,1] => 1011001 => 2
[8,1,7,4,2,5,6,3] => 1011001 => 2
[7,4,3,8,2,5,6,1] => 1101001 => 2
[6,4,1,5,8,2,7,3] => 1100101 => 2
[2,5,8,7,3,6,1,4] => 0011010 => 2
[2,1,5,8,7,4,6,3] => 1001101 => 2
[8,3,5,6,7,4,1,2] => 1000110 => 2
[7,4,3,2,8,5,6,1] => 1110101 => 2
[4,2,7,1,8,5,6,3] => 1010101 => 3
[4,1,7,2,8,5,6,3] => 1010101 => 3
[2,4,8,7,3,5,6,1] => 0011001 => 1
[4,7,8,3,1,5,6,2] => 0011001 => 1
[3,4,7,2,8,5,6,1] => 0010101 => 2
[3,7,1,4,8,5,6,2] => 0100101 => 2
[7,2,3,4,8,5,6,1] => 1000101 => 2
[6,1,8,5,2,7,4,3] => 1011011 => 2
[2,1,7,4,5,8,6,3] => 1010011 => 2
[2,1,8,3,6,7,5,4] => 1010011 => 2
[8,2,1,6,4,7,5,3] => 1101011 => 2
[7,8,2,6,4,1,5,3] => 0101101 => 2
[2,6,3,5,8,7,1,4] => 0100110 => 2
[7,6,2,1,5,8,4,3] => 1110011 => 1
[4,5,2,7,6,1,8,3] => 0101101 => 2
[5,1,6,8,4,7,2,3] => 1001010 => 3
[3,6,8,7,5,2,1,4] => 0011110 => 1
[7,4,8,6,5,2,3,1] => 1011101 => 2
[8,1,6,4,7,3,2,5] => 1010110 => 3
[7,6,4,1,2,3,8,5] => 1110001 => 1
[2,6,4,8,5,3,7,1] => 0101101 => 2
[7,3,5,8,4,2,1,6] => 1001110 => 2
[3,2,5,8,4,1,7,6] => 1001101 => 2
[8,4,7,1,5,2,3,6] => 1010100 => 3
[4,8,7,5,6,1,2,3] => 0110100 => 2
[6,1,4,8,7,3,5,2] => 1001101 => 2
[7,2,8,4,3,5,6,1] => 1011001 => 2
[4,7,8,1,3,5,6,2] => 0010001 => 1
[8,7,3,4,1,5,6,2] => 1101001 => 2
[4,8,2,7,3,5,6,1] => 0101001 => 2
[3,1,8,7,2,5,6,4] => 1011001 => 2
[3,8,1,7,2,5,6,4] => 0101001 => 2
[8,2,3,7,1,5,6,4] => 1001001 => 2
[6,4,8,7,1,3,2,5] => 1011010 => 3
[2,8,4,6,7,3,1,5] => 0100110 => 2
[4,3,8,2,7,6,1,5] => 1010110 => 3
[6,8,4,2,1,3,7,5] => 0111001 => 1
[7,8,2,4,3,5,6,1] => 0101001 => 2
[2,8,3,7,1,5,6,4] => 0101001 => 2
[8,1,2,7,3,5,6,4] => 1001001 => 2
[6,4,1,3,2,8,5,7] => 1101010 => 3
[5,3,8,6,2,1,4,7] => 1011100 => 2
[4,6,5,2,8,3,1,7] => 0110110 => 2
[4,3,7,5,1,8,2,6] => 1011010 => 3
[6,8,5,2,7,4,3,1] => 0110111 => 1
[7,2,5,4,3,8,1,6] => 1011010 => 3
[3,6,8,1,4,5,2,7] => 0010010 => 2
[6,8,1,2,4,5,3,7] => 0100010 => 2
[8,1,6,2,4,5,3,7] => 1010010 => 3
[3,8,6,1,2,5,4,7] => 0110010 => 2
[5,8,1,6,2,3,4,7] => 0101000 => 2
[4,1,6,5,8,2,3,7] => 1010100 => 3
[4,3,8,6,2,5,1,7] => 1011010 => 3
[8,3,6,1,4,5,2,7] => 1010010 => 3
[2,3,6,8,4,5,1,7] => 0001010 => 2
[2,7,5,4,3,8,1,6] => 0111010 => 2
[6,3,8,7,4,2,5,1] => 1011101 => 2
[5,8,4,3,7,6,1,2] => 0110110 => 2
[8,7,4,3,1,6,2,5] => 1111010 => 2
[1,7,4,3,8,6,2,5] => 0110110 => 2
[7,1,5,3,4,8,2,6] => 1010010 => 3
[2,8,6,1,7,4,5,3] => 0110101 => 2
[4,8,6,5,7,2,1,3] => 0110110 => 2
[4,7,6,8,2,1,5,3] => 0101101 => 2
[6,1,8,7,4,3,5,2] => 1011101 => 2
[8,5,4,3,1,6,7,2] => 1111001 => 1
[1,5,8,6,3,4,7,2] => 0011001 => 1
[2,5,8,6,3,4,7,1] => 0011001 => 1
[4,1,3,8,5,6,7,2] => 1001001 => 2
[6,5,8,4,3,1,7,2] => 1011101 => 2
[4,6,5,2,8,1,7,3] => 0110101 => 2
[7,2,8,1,3,6,4,5] => 1010010 => 3
[1,8,5,2,3,6,7,4] => 0110001 => 1
[1,8,3,2,5,6,7,4] => 0110001 => 1
[2,8,3,1,5,6,7,4] => 0110001 => 1
[4,8,3,2,5,6,7,1] => 0110001 => 1
[8,2,3,1,5,6,7,4] => 1010001 => 2
[2,1,8,3,5,6,7,4] => 1010001 => 2
[1,4,8,2,3,6,7,5] => 0010001 => 1
[3,1,2,7,8,6,4,5] => 1000110 => 2
[7,5,1,8,2,4,3,6] => 1101010 => 3
[3,5,8,1,2,4,7,6] => 0010001 => 1
[4,5,8,1,2,3,7,6] => 0010001 => 1
[4,2,7,1,8,6,3,5] => 1010110 => 3
[3,8,4,1,2,6,7,5] => 0110001 => 1
[5,4,8,2,3,6,7,1] => 1010001 => 2
[5,8,3,6,7,4,1,2] => 0100110 => 2
[2,3,1,6,8,4,7,5] => 0100101 => 2
[2,4,3,7,1,8,5,6] => 0101010 => 3
[1,4,7,3,2,8,5,6] => 0011010 => 2
[2,7,1,4,3,8,5,6] => 0101010 => 3
[2,4,1,8,6,3,7,5] => 0101101 => 2
[8,4,1,3,6,2,7,5] => 1100101 => 2
[6,8,5,1,7,2,3,4] => 0110100 => 2
[7,3,6,5,8,2,1,4] => 1010110 => 3
[7,6,3,5,8,2,1,4] => 1100110 => 2
[4,5,8,7,3,6,1,2] => 0011010 => 2
[3,5,2,8,6,1,7,4] => 0101101 => 2
[8,2,5,6,1,4,7,3] => 1001001 => 2
[8,6,5,4,1,2,7,3] => 1111001 => 1
[2,6,1,8,3,7,5,4] => 0101011 => 2
[4,7,1,6,2,8,5,3] => 0101011 => 2
[6,1,5,3,8,7,2,4] => 1010110 => 3
[2,8,6,3,7,1,5,4] => 0110101 => 2
[7,6,1,5,8,2,3,4] => 1100100 => 2
[3,6,8,5,1,2,7,4] => 0011001 => 1
[6,5,2,4,8,1,7,3] => 1100101 => 2
[5,1,4,8,2,6,7,3] => 1001001 => 2
[4,8,2,5,1,6,7,3] => 0101001 => 2
[3,4,8,5,2,6,7,1] => 0011001 => 1
[4,2,1,8,5,6,7,3] => 1101001 => 2
[1,5,4,8,2,6,7,3] => 0101001 => 2
[7,2,1,5,8,6,3,4] => 1100110 => 2
[2,8,4,5,1,6,7,3] => 0101001 => 2
[5,4,8,3,7,6,1,2] => 1010110 => 3
[3,1,5,8,6,2,7,4] => 1001101 => 2
[6,3,4,8,5,1,7,2] => 1001101 => 2
[5,3,4,8,1,6,7,2] => 1001001 => 2
[7,6,1,2,8,3,5,4] => 1100101 => 2
[7,5,8,4,1,2,6,3] => 1011001 => 2
[7,5,8,4,6,1,3,2] => 1010101 => 3
[6,5,4,8,7,1,3,2] => 1101101 => 2
[6,5,4,8,1,2,7,3] => 1101001 => 2
[7,5,1,6,2,3,8,4] => 1101001 => 2
[7,5,1,6,8,2,4,3] => 1100101 => 2
[6,5,4,1,8,2,7,3] => 1110101 => 2
[6,5,4,7,1,2,8,3] => 1101001 => 2
[6,5,4,7,8,1,3,2] => 1100101 => 2
[6,5,3,7,1,4,2,8] => 1101010 => 3
[6,5,3,1,8,4,2,7] => 1110110 => 2
[7,5,1,4,8,3,2,6] => 1100110 => 2
[8,1,6,4,7,3,5,2] => 1010101 => 3
[7,5,1,4,8,3,6,2] => 1100101 => 2
[6,5,3,7,1,4,8,2] => 1101001 => 2
[6,4,3,1,5,8,7,2] => 1110011 => 1
[7,4,1,5,3,8,6,2] => 1101011 => 2
[8,1,5,4,3,7,6,2] => 1011011 => 2
[8,1,5,4,3,7,2,6] => 1011010 => 3
[7,4,1,5,3,8,2,6] => 1101010 => 3
[7,4,1,5,3,2,6,8] => 1101100 => 2
[8,1,5,4,3,2,6,7] => 1011100 => 2
[8,1,6,4,2,5,3,7] => 1011010 => 3
[6,5,3,1,2,7,4,8] => 1110010 => 2
[6,5,3,8,1,4,2,7] => 1101010 => 3
[7,6,8,1,4,3,2,5] => 1010110 => 3
[8,1,7,2,5,4,3,6] => 1010110 => 3
[8,1,7,2,5,4,6,3] => 1010101 => 3
[7,6,1,2,5,4,8,3] => 1100101 => 2
[6,5,3,8,1,4,7,2] => 1101001 => 2
[6,5,3,1,2,7,8,4] => 1110001 => 1
[7,5,1,4,2,6,8,3] => 1101001 => 2
[8,1,6,4,2,5,7,3] => 1011001 => 2
[7,4,1,5,3,2,8,6] => 1101101 => 2
[6,4,3,1,5,2,8,7] => 1110101 => 2
[6,4,3,1,5,7,2,8] => 1110010 => 2
[7,4,1,5,3,6,2,8] => 1101010 => 3
[8,1,5,4,3,6,2,7] => 1011010 => 3
[8,1,5,4,3,6,7,2] => 1011001 => 2
[7,4,1,5,3,6,8,2] => 1101001 => 2
[6,4,3,1,5,7,8,2] => 1110001 => 1
[6,7,3,8,4,5,1,2] => 0101010 => 3
[6,7,4,5,1,8,2,3] => 0101010 => 3
[4,7,5,6,2,3,1,8] => 0101010 => 3
[4,7,5,6,1,8,2,3] => 0101010 => 3
[4,7,5,6,3,8,1,2] => 0101010 => 3
[3,7,5,8,4,6,1,2] => 0101010 => 3
[4,5,3,8,6,7,1,2] => 0101010 => 3
[4,8,3,6,5,7,1,2] => 0101010 => 3
[5,6,4,7,1,8,2,3] => 0101010 => 3
[5,6,1,7,3,8,2,4] => 0101010 => 3
[5,6,1,8,2,7,3,4] => 0101010 => 3
[5,6,1,8,4,7,2,3] => 0101010 => 3
[4,8,1,6,5,7,2,3] => 0101010 => 3
[4,5,1,8,6,7,2,3] => 0101010 => 3
[7,8,4,5,1,6,2,3] => 0101010 => 3
[4,8,2,3,1,6,5,7] => 0101010 => 3
[5,6,2,8,1,4,3,7] => 0101010 => 3
[5,6,3,4,1,8,2,7] => 0101010 => 3
[3,6,4,5,2,7,1,8] => 0101010 => 3
[3,6,4,5,1,8,2,7] => 0101010 => 3
[2,6,4,8,1,5,3,7] => 0101010 => 3
[2,8,3,6,1,5,4,7] => 0101010 => 3
[2,8,3,4,1,6,5,7] => 0101010 => 3
[7,8,2,5,3,4,1,6] => 0101010 => 3
[7,8,1,5,3,6,2,4] => 0101010 => 3
[1,5,3,8,6,7,2,4] => 0101010 => 3
[1,8,3,6,2,7,4,5] => 0101010 => 3
[1,6,4,8,2,7,3,5] => 0101010 => 3
[2,6,4,7,3,5,1,8] => 0101010 => 3
[2,7,3,6,4,5,1,8] => 0101010 => 3
[1,7,3,6,4,8,2,5] => 0101010 => 3
[1,7,2,8,4,6,3,5] => 0101010 => 3
[1,7,5,8,4,6,2,3] => 0101010 => 3
[1,7,5,8,2,6,3,4] => 0101010 => 3
[1,7,5,6,3,8,2,4] => 0101010 => 3
[2,7,5,6,3,4,1,8] => 0101010 => 3
[6,7,2,5,3,4,1,8] => 0101010 => 3
[6,7,1,5,3,8,2,4] => 0101010 => 3
[6,7,5,8,1,4,2,3] => 0101010 => 3
[5,8,6,7,2,3,1,4] => 0101010 => 3
[6,7,2,3,1,8,4,5] => 0101010 => 3
[6,7,2,8,1,4,3,5] => 0101010 => 3
[3,4,2,7,5,6,1,8] => 0101010 => 3
[3,4,1,7,5,8,2,6] => 0101010 => 3
[2,7,5,8,1,4,3,6] => 0101010 => 3
[2,3,1,7,5,8,4,6] => 0101010 => 3
[2,3,1,8,4,7,5,6] => 0101010 => 3
[7,8,2,3,1,6,4,5] => 0101010 => 3
[7,8,2,6,1,4,3,5] => 0101010 => 3
[2,8,6,7,1,4,3,5] => 0101010 => 3
[2,8,1,4,3,7,5,6] => 0101010 => 3
[3,7,2,5,4,6,1,8] => 0101010 => 3
[4,5,2,7,3,6,1,8] => 0101010 => 3
[4,5,1,8,2,7,3,6] => 0101010 => 3
[3,4,1,8,2,7,5,6] => 0101010 => 3
[3,4,1,8,6,7,2,5] => 0101010 => 3
[3,4,2,5,1,8,6,7] => 0101010 => 3
[3,4,2,8,1,6,5,7] => 0101010 => 3
[3,8,2,5,1,6,4,7] => 0101010 => 3
[4,5,2,8,1,6,3,7] => 0101010 => 3
[4,5,3,6,1,8,2,7] => 0101010 => 3
[8,6,7,1,4,2,5,3] => 1010101 => 3
[8,6,3,7,5,1,2,4] => 1101100 => 2
[7,6,1,8,3,5,2,4] => 1101010 => 3
[7,6,2,8,3,5,1,4] => 1101010 => 3
[7,6,2,3,8,5,1,4] => 1100110 => 2
[8,7,1,5,2,6,3,4] => 1101010 => 3
[8,7,1,5,2,3,6,4] => 1101001 => 2
[8,5,2,3,1,7,6,4] => 1101011 => 2
[8,6,2,3,7,1,5,4] => 1100101 => 2
[8,6,2,7,3,1,5,4] => 1101101 => 2
[8,7,2,5,1,6,3,4] => 1101010 => 3
[8,4,2,1,7,6,3,5] => 1110110 => 2
[8,5,7,2,1,4,3,6] => 1011010 => 3
[5,8,7,3,1,4,2,6] => 0111010 => 2
[5,8,7,3,1,4,6,2] => 0111001 => 1
[8,5,7,2,1,4,6,3] => 1011001 => 2
[8,4,2,1,3,7,6,5] => 1110011 => 1
[8,4,3,1,7,2,6,5] => 1110101 => 2
[8,6,1,3,7,2,5,4] => 1100101 => 2
[8,5,1,3,2,7,6,4] => 1101011 => 2
[6,1,5,8,4,2,7,3] => 1001101 => 2
[5,2,8,6,4,1,3,7] => 1011100 => 2
[8,4,7,5,1,6,2,3] => 1011010 => 3
[8,4,7,5,1,2,3,6] => 1011000 => 2
[8,7,3,5,1,2,6,4] => 1101001 => 2
[8,3,2,6,5,1,4,7] => 1101100 => 2
[4,8,6,3,5,1,2,7] => 0110100 => 2
[4,8,7,3,1,5,2,6] => 0111010 => 2
[8,4,7,2,1,5,3,6] => 1011010 => 3
[8,7,3,1,4,2,6,5] => 1110101 => 2
[8,7,3,1,2,6,4,5] => 1110010 => 2
[8,7,3,1,2,4,6,5] => 1110001 => 1
[8,3,2,1,4,7,6,5] => 1110011 => 1
[8,3,2,1,7,4,6,5] => 1110101 => 2
[8,3,2,7,1,5,6,4] => 1101001 => 2
[8,4,7,2,1,5,6,3] => 1011001 => 2
[8,7,2,1,6,3,4,5] => 1110100 => 2
[3,6,5,4,1,2,8,7] => 0111001 => 1
[3,8,5,6,7,4,1,2] => 0100110 => 2
[4,7,5,8,6,2,1,3] => 0101110 => 2
[2,5,7,8,6,3,4,1] => 0001101 => 1
[4,8,5,7,6,3,1,2] => 0101110 => 2
[4,6,3,2,1,5,8,7] => 0111001 => 1
[6,2,1,5,3,4,8,7] => 1101001 => 2
[5,8,1,3,7,6,4,2] => 0100111 => 1
[4,7,2,3,6,1,8,5] => 0100101 => 2
[3,7,4,2,8,1,5,6] => 0110100 => 2
[4,2,6,8,5,7,3,1] => 1001011 => 2
[6,4,2,7,3,8,5,1] => 1101011 => 2
[8,1,6,7,5,3,4,2] => 1001101 => 2
[2,1,5,8,7,6,3,4] => 1001110 => 2
[2,1,4,7,6,3,8,5] => 1001101 => 2
[6,4,7,8,5,3,2,1] => 1001111 => 1
[4,1,3,7,6,2,8,5] => 1001101 => 2
[8,5,1,6,3,2,7,4] => 1101101 => 2
[6,3,7,1,5,2,8,4] => 1010101 => 3
[3,2,6,8,4,7,5,1] => 1001011 => 2
[8,4,6,1,3,2,5,7] => 1010100 => 3
[4,2,8,6,7,3,1,5] => 1010110 => 3
[7,4,3,8,2,1,5,6] => 1101100 => 2
[4,7,5,8,1,6,3,2] => 0101011 => 2
[6,4,3,2,7,8,1,5] => 1110010 => 2
[4,2,5,1,6,7,8,3] => 1010001 => 2
[2,4,8,5,7,1,3,6] => 0010100 => 2
[3,7,1,4,6,8,5,2] => 0100011 => 1
[7,8,2,5,6,1,4,3] => 0100101 => 2
[2,4,3,8,7,5,6,1] => 0101101 => 2
[2,6,7,3,5,1,8,4] => 0010101 => 2
[7,6,8,4,2,5,3,1] => 1011011 => 2
[8,5,7,1,6,3,2,4] => 1010110 => 3
[6,5,7,2,8,4,3,1] => 1010111 => 2
[3,4,8,6,5,2,1,7] => 0011110 => 1
[2,7,6,1,4,5,8,3] => 0110001 => 1
[6,5,8,2,1,7,3,4] => 1011010 => 3
[7,4,3,5,1,6,8,2] => 1101001 => 2
[4,1,6,3,5,8,7,2] => 1010011 => 2
[6,2,5,8,4,3,7,1] => 1001101 => 2
[8,6,7,1,5,4,3,2] => 1010111 => 2
[2,1,6,5,8,4,7,3] => 1010101 => 3
[2,1,6,8,5,4,3,7] => 1001110 => 2
[4,1,8,5,6,2,3,7] => 1010100 => 3
[2,6,4,8,7,3,5,1] => 0101101 => 2
[6,2,8,4,3,5,1,7] => 1011010 => 3
[4,8,2,7,6,1,3,5] => 0101100 => 2
[3,1,8,2,7,5,4,6] => 1010110 => 3
[3,8,1,2,6,7,4,5] => 0100010 => 2
[5,8,4,3,2,7,1,6] => 0111010 => 2
[7,4,8,6,3,2,5,1] => 1011101 => 2
[5,8,4,7,2,1,3,6] => 0101100 => 2
[2,1,8,4,3,7,5,6] => 1011010 => 3
[6,3,8,2,4,5,7,1] => 1010001 => 2
[5,8,4,2,3,6,1,7] => 0110010 => 2
[5,8,2,4,3,1,6,7] => 0101100 => 2
[2,8,3,1,6,4,5,7] => 0110100 => 2
[8,2,1,3,4,7,5,6] => 1100010 => 2
[1,4,8,2,6,3,5,7] => 0010100 => 2
[1,2,7,3,5,4,8,6] => 0010101 => 2
[1,2,3,8,4,5,7,6] => 0001001 => 1
[1,2,8,3,4,5,7,6] => 0010001 => 1
[1,3,8,2,6,4,5,7] => 0010100 => 2
[1,5,7,2,3,6,4,8] => 0010010 => 2
[1,7,2,3,5,4,8,6] => 0100101 => 2
[1,3,8,2,4,5,7,6] => 0010001 => 1
[1,2,3,8,4,6,7,5] => 0001001 => 1
[1,8,2,3,5,4,6,7] => 0100100 => 2
[1,7,8,2,3,6,4,5] => 0010010 => 2
[1,6,7,8,2,3,5,4] => 0001001 => 1
[1,7,8,2,5,3,6,4] => 0010101 => 2
[1,7,8,2,4,5,3,6] => 0010010 => 2
[1,2,8,3,6,4,5,7] => 0010100 => 2
[1,8,2,3,6,4,5,7] => 0100100 => 2
[1,2,8,3,5,4,6,7] => 0010100 => 2
[1,2,7,8,3,6,4,5] => 0001010 => 2
[1,5,2,7,8,3,6,4] => 0100101 => 2
[1,3,2,8,4,6,7,5] => 0101001 => 2
[1,8,2,3,4,6,7,5] => 0100001 => 1
[1,7,8,2,4,3,6,5] => 0010101 => 2
[7,6,3,1,5,2,4,8] => 1110100 => 2
[6,7,3,1,5,2,8,4] => 0110101 => 2
[6,8,3,1,5,2,7,4] => 0110101 => 2
[6,8,4,5,1,2,7,3] => 0101001 => 2
[6,7,4,5,1,2,8,3] => 0101001 => 2
[7,2,1,6,5,3,4,8] => 1101100 => 2
[7,3,6,1,5,2,4,8] => 1010100 => 3
[7,4,6,5,1,2,3,8] => 1011000 => 2
[6,7,5,4,1,2,8,3] => 0111001 => 1
[5,8,6,4,1,7,2,3] => 0111010 => 2
[5,7,6,4,1,8,2,3] => 0111010 => 2
[5,6,7,4,1,8,2,3] => 0011010 => 2
[6,5,7,4,1,2,8,3] => 1011001 => 2
[6,4,7,5,1,2,8,3] => 1011001 => 2
[6,2,1,7,5,3,8,4] => 1101101 => 2
[6,3,8,1,5,2,7,4] => 1010101 => 3
[6,4,8,5,1,2,7,3] => 1011001 => 2
[6,5,8,4,1,2,7,3] => 1011001 => 2
[5,6,8,4,1,7,2,3] => 0011010 => 2
[4,6,8,5,7,1,2,3] => 0010100 => 2
[4,5,8,6,7,1,2,3] => 0010100 => 2
[5,4,8,6,1,7,2,3] => 1011010 => 3
[5,3,8,1,6,7,2,4] => 1010010 => 3
[5,2,1,8,6,7,3,4] => 1101010 => 3
[5,2,1,7,6,8,3,4] => 1101010 => 3
[5,4,7,6,1,8,2,3] => 1011010 => 3
[4,5,7,6,8,1,2,3] => 0010100 => 2
[4,6,7,5,8,1,2,3] => 0010100 => 2
[4,8,6,5,7,1,2,3] => 0110100 => 2
[4,8,5,6,7,1,2,3] => 0100100 => 2
[4,7,5,6,8,1,2,3] => 0100100 => 2
[4,6,5,7,8,1,2,3] => 0100100 => 2
[5,7,4,6,1,8,2,3] => 0101010 => 3
[5,8,4,6,1,7,2,3] => 0101010 => 3
[5,8,3,1,6,7,2,4] => 0110010 => 2
[5,7,3,1,6,8,2,4] => 0110010 => 2
[5,6,3,1,7,8,2,4] => 0110010 => 2
[6,2,1,4,3,8,7,5] => 1101011 => 2
[5,8,3,1,7,6,2,4] => 0110110 => 2
[5,7,4,8,1,6,2,3] => 0101010 => 3
[5,2,1,6,8,7,3,4] => 1100110 => 2
[5,4,6,8,1,7,2,3] => 1001010 => 3
[4,5,6,8,7,1,2,3] => 0001100 => 1
[4,7,5,8,6,1,2,3] => 0101100 => 2
[4,8,5,7,6,1,2,3] => 0101100 => 2
[4,8,6,7,5,1,2,3] => 0101100 => 2
[4,7,6,8,5,1,2,3] => 0101100 => 2
[4,6,7,8,5,1,2,3] => 0001100 => 1
[4,5,7,8,6,1,2,3] => 0001100 => 1
[5,4,7,8,1,6,2,3] => 1001010 => 3
[5,3,7,1,8,6,2,4] => 1010110 => 3
[5,2,1,7,8,6,3,4] => 1100110 => 2
[5,3,8,1,7,6,2,4] => 1010110 => 3
[5,4,8,7,1,6,2,3] => 1011010 => 3
[4,6,8,7,5,1,2,3] => 0011100 => 1
[4,7,8,6,5,1,2,3] => 0011100 => 1
[4,8,7,6,5,1,2,3] => 0111100 => 1
[2,5,4,7,3,6,1,8] => 0101010 => 3
[2,4,6,3,7,5,1,8] => 0010110 => 2
[4,2,7,3,6,5,1,8] => 1010110 => 3
[4,2,6,3,1,5,8,7] => 1011001 => 2
[2,5,3,1,6,4,8,7] => 0110101 => 2
[2,5,3,7,6,4,1,8] => 0101110 => 2
[2,6,5,3,7,4,1,8] => 0110110 => 2
[4,2,7,6,3,5,1,8] => 1011010 => 3
[2,7,5,3,6,4,1,8] => 0110110 => 2
[2,6,3,7,5,4,1,8] => 0101110 => 2
[1,7,5,2,3,8,4,6] => 0110010 => 2
[2,1,3,7,5,4,8,6] => 1001101 => 2
[2,3,1,8,6,5,4,7] => 0101110 => 2
[2,5,3,1,8,6,4,7] => 0110110 => 2
[4,2,8,3,1,6,5,7] => 1011010 => 3
[8,3,2,6,4,1,5,7] => 1101100 => 2
[3,6,8,2,1,4,5,7] => 0011000 => 1
[1,5,2,8,3,4,7,6] => 0101001 => 2
[1,2,6,3,8,7,4,5] => 0010110 => 2
[1,2,8,3,6,4,7,5] => 0010101 => 2
[1,2,7,6,3,4,8,5] => 0011001 => 1
[2,1,3,8,7,5,4,6] => 1001110 => 2
[1,2,3,8,6,4,7,5] => 0001101 => 1
[1,2,3,7,4,8,6,5] => 0001011 => 1
[1,2,7,6,3,8,4,5] => 0011010 => 2
[1,2,3,6,4,8,7,5] => 0001011 => 1
[1,2,3,7,6,4,8,5] => 0001101 => 1
[2,6,3,1,8,5,4,7] => 0110110 => 2
[2,1,3,8,5,4,7,6] => 1001101 => 2
[7,1,8,4,2,3,5,6] => 1011000 => 2
[2,1,8,4,3,5,7,6] => 1011001 => 2
[4,2,6,3,1,8,5,7] => 1011010 => 3
[5,4,2,8,3,1,6,7] => 1101100 => 2
[3,5,8,2,4,1,6,7] => 0010100 => 2
[2,5,4,8,3,1,6,7] => 0101100 => 2
[4,2,1,8,3,5,7,6] => 1101001 => 2
[1,8,7,4,2,3,5,6] => 0111000 => 1
[1,5,2,8,7,3,4,6] => 0101100 => 2
[1,2,7,3,6,4,8,5] => 0010101 => 2
[1,2,8,6,3,7,4,5] => 0011010 => 2
[1,2,7,3,8,6,4,5] => 0010110 => 2
[1,2,3,8,4,7,6,5] => 0001011 => 1
[1,2,7,3,4,8,6,5] => 0010011 => 1
[1,2,6,3,8,4,7,5] => 0010101 => 2
[1,5,2,3,8,7,4,6] => 0100110 => 2
[4,2,1,8,3,7,5,6] => 1101010 => 3
[8,3,2,1,7,4,5,6] => 1110100 => 2
[1,8,4,2,7,3,5,6] => 0110100 => 2
[1,2,8,6,3,4,7,5] => 0011001 => 1
[1,2,7,3,8,4,6,5] => 0010101 => 2
[1,2,3,8,7,4,6,5] => 0001101 => 1
[1,2,3,8,7,6,4,5] => 0001110 => 1
[2,5,3,8,1,6,4,7] => 0101010 => 3
[2,6,4,7,1,5,3,8] => 0101010 => 3
[2,6,5,7,1,4,3,8] => 0101010 => 3
[3,8,5,7,1,2,6,4] => 0101001 => 2
[3,8,5,7,2,6,4,1] => 0101011 => 2
[3,4,8,6,2,5,7,1] => 0011001 => 1
[3,4,8,6,1,2,5,7] => 0011000 => 1
[2,5,7,1,4,8,6,3] => 0010011 => 1
[2,4,8,1,5,7,6,3] => 0010011 => 1
[2,4,3,8,1,6,5,7] => 0101010 => 3
[2,8,1,7,5,6,4,3] => 0101011 => 2
[2,3,8,1,6,5,7,4] => 0010101 => 2
[2,4,8,1,3,5,7,6] => 0010001 => 1
[3,5,7,6,1,2,4,8] => 0011000 => 1
[3,5,7,6,2,4,8,1] => 0011001 => 1
[4,8,6,7,2,3,5,1] => 0101001 => 2
[4,8,6,7,1,2,3,5] => 0101000 => 2
[4,8,6,7,1,3,5,2] => 0101001 => 2
[3,4,8,6,1,5,7,2] => 0011001 => 1
[3,8,5,7,1,6,4,2] => 0101011 => 2
[3,2,8,5,6,1,7,4] => 1010101 => 3
[3,8,5,7,2,1,6,4] => 0101101 => 2
[3,4,8,6,2,1,5,7] => 0011100 => 1
[3,5,7,6,2,1,4,8] => 0011100 => 1
[4,8,6,7,2,1,3,5] => 0101100 => 2
[4,8,6,7,3,5,2,1] => 0101011 => 2
[5,8,6,7,3,4,2,1] => 0101011 => 2
[5,8,6,7,2,1,3,4] => 0101100 => 2
[5,8,6,7,2,1,4,3] => 0101101 => 2
[4,8,6,7,2,1,5,3] => 0101101 => 2
[4,3,1,7,5,2,8,6] => 1101101 => 2
[4,3,2,8,5,1,7,6] => 1101101 => 2
[4,3,8,5,1,6,7,2] => 1011001 => 2
[4,8,6,7,1,5,3,2] => 0101011 => 2
[5,8,6,7,1,4,3,2] => 0101011 => 2
[5,8,6,7,2,3,4,1] => 0101001 => 2
[5,8,6,7,2,4,3,1] => 0101011 => 2
[5,8,6,7,1,2,4,3] => 0101001 => 2
[4,2,3,8,5,1,6,7] => 1001100 => 2
[4,2,8,5,1,7,6,3] => 1011011 => 2
[3,4,2,8,5,6,1,7] => 0101010 => 3
[3,2,4,8,6,1,5,7] => 1001100 => 2
[3,2,5,7,6,1,4,8] => 1001100 => 2
[4,8,6,7,1,3,2,5] => 0101010 => 3
[4,8,6,7,1,2,5,3] => 0101001 => 2
[4,8,6,7,2,5,3,1] => 0101011 => 2
[4,3,8,5,2,6,7,1] => 1011001 => 2
[4,3,8,5,1,2,6,7] => 1011000 => 2
[4,2,6,7,5,1,3,8] => 1001100 => 2
[3,8,5,7,1,4,2,6] => 0101010 => 3
[3,8,4,7,1,5,2,6] => 0101010 => 3
[3,5,2,8,4,6,1,7] => 0101010 => 3
[3,5,1,7,4,6,2,8] => 0101010 => 3
[3,8,4,7,2,5,1,6] => 0101010 => 3
[4,1,3,8,5,2,6,7] => 1001100 => 2
[4,1,2,6,7,5,3,8] => 1000110 => 2
[4,2,6,7,5,3,8,1] => 1001101 => 2
[4,8,6,7,3,2,5,1] => 0101101 => 2
[4,8,6,7,3,1,2,5] => 0101100 => 2
[3,1,5,7,6,2,4,8] => 1001100 => 2
[3,4,1,7,5,6,2,8] => 0101010 => 3
[4,1,7,5,2,8,6,3] => 1011011 => 2
[4,1,6,7,5,2,3,8] => 1001100 => 2
[4,8,6,7,2,3,1,5] => 0101010 => 3
[5,8,6,7,3,2,4,1] => 0101101 => 2
[5,8,6,7,4,2,3,1] => 0101101 => 2
[5,8,6,7,4,1,2,3] => 0101100 => 2
[5,8,6,7,4,1,3,2] => 0101101 => 2
[5,8,6,7,3,1,4,2] => 0101101 => 2
[4,8,6,7,3,1,5,2] => 0101101 => 2
[4,1,6,7,5,3,8,2] => 1001101 => 2
[4,1,7,5,3,2,8,6] => 1011101 => 2
[4,2,8,5,3,1,7,6] => 1011101 => 2
[4,2,1,6,7,5,3,8] => 1100110 => 2
[4,8,6,7,3,2,1,5] => 0101110 => 2
[5,8,6,7,4,2,1,3] => 0101110 => 2
[5,8,6,7,4,3,1,2] => 0101110 => 2
[7,3,5,8,1,4,2,6] => 1001010 => 3
[3,8,7,6,1,4,2,5] => 0111010 => 2
[5,1,8,3,6,7,2,4] => 1010010 => 3
[1,4,7,8,5,6,2,3] => 0001010 => 2
[3,4,7,1,5,8,6,2] => 0010011 => 1
[3,6,1,4,7,8,5,2] => 0100011 => 1
[1,6,8,4,7,5,2,3] => 0010110 => 2
[6,8,1,3,5,7,2,4] => 0100010 => 2
[7,6,1,4,3,8,2,5] => 1101010 => 3
[3,8,1,6,5,4,2,7] => 0101110 => 2
[4,1,3,7,5,8,2,6] => 1001010 => 3
[6,1,7,3,8,4,2,5] => 1010110 => 3
[7,1,8,6,3,5,2,4] => 1011010 => 3
[3,1,7,6,5,8,4,2] => 1011011 => 2
[8,2,7,6,5,3,4,1] => 1011101 => 2
[8,4,2,6,7,5,3,1] => 1100111 => 1
[4,8,1,6,7,5,3,2] => 0100111 => 1
[7,4,1,6,8,2,5,3] => 1100101 => 2
[1,3,8,6,2,7,5,4] => 0011011 => 1
[6,1,3,2,7,8,4,5] => 1010010 => 3
[1,8,6,2,5,3,4,7] => 0110100 => 2
[4,7,2,6,8,1,5,3] => 0100101 => 2
[8,7,3,6,4,5,2,1] => 1101011 => 2
[5,7,8,6,2,1,4,3] => 0011101 => 1
[2,7,4,1,6,8,3,5] => 0110010 => 2
[3,7,2,4,5,1,6,8] => 0100100 => 2
[1,8,6,4,5,2,3,7] => 0110100 => 2
[2,8,4,6,5,1,3,7] => 0101100 => 2
[3,4,1,7,5,2,6,8] => 0101100 => 2
[7,5,8,6,1,2,4,3] => 1011001 => 2
[5,6,8,7,3,1,4,2] => 0011101 => 1
[2,5,4,3,6,8,1,7] => 0110010 => 2
[3,8,5,4,6,2,1,7] => 0110110 => 2
[4,8,2,1,3,7,5,6] => 0110010 => 2
[6,4,1,2,7,5,8,3] => 1100101 => 2
[4,1,8,3,6,7,5,2] => 1010011 => 2
[8,3,7,4,5,2,6,1] => 1010101 => 3
[4,3,7,8,5,1,6,2] => 1001101 => 2
[5,4,8,2,7,6,1,3] => 1010110 => 3
[1,2,7,3,6,5,8,4] => 0010101 => 2
[2,8,7,6,3,4,1,5] => 0111010 => 2
[5,8,2,6,3,4,1,7] => 0101010 => 3
[4,1,7,5,8,6,2,3] => 1010110 => 3
[5,1,7,8,4,3,6,2] => 1001101 => 2
[8,2,7,5,4,3,6,1] => 1011101 => 2
[6,3,8,1,4,7,5,2] => 1010011 => 2
[3,8,4,5,6,1,2,7] => 0100100 => 2
[1,4,3,5,7,8,2,6] => 0100010 => 2
[6,5,8,7,1,3,4,2] => 1011001 => 2
[3,6,7,2,4,8,1,5] => 0010010 => 2
[1,5,2,7,4,3,8,6] => 0101101 => 2
[2,8,5,6,4,3,1,7] => 0101110 => 2
[1,8,6,5,4,3,2,7] => 0111110 => 1
[6,1,5,2,8,4,7,3] => 1010101 => 3
[4,6,1,8,5,7,2,3] => 0101010 => 3
[4,7,1,2,8,5,6,3] => 0100101 => 2
[1,4,7,2,8,5,6,3] => 0010101 => 2
[1,7,3,5,8,6,2,4] => 0100110 => 2
[7,3,5,8,6,1,2,4] => 1001100 => 2
[3,6,8,1,5,7,2,4] => 0010010 => 2
[3,4,6,5,8,1,7,2] => 0010101 => 2
[6,8,1,5,7,2,3,4] => 0100100 => 2
[7,1,2,5,8,6,3,4] => 1000110 => 2
[1,7,2,5,8,6,3,4] => 0100110 => 2
[1,7,6,8,2,3,5,4] => 0101001 => 2
[7,6,8,1,2,3,5,4] => 1010001 => 2
[2,7,1,5,8,6,3,4] => 0100110 => 2
[2,4,7,1,8,5,6,3] => 0010101 => 2
[4,7,5,8,3,1,6,2] => 0101101 => 2
[4,7,2,1,8,5,6,3] => 0110101 => 2
[7,6,8,2,1,3,5,4] => 1011001 => 2
[1,2,7,6,8,3,5,4] => 0010101 => 2
[3,7,6,8,2,1,5,4] => 0101101 => 2
[7,4,2,1,6,8,5,3] => 1110011 => 1
[6,7,4,1,8,5,3,2] => 0110111 => 1
[6,7,4,3,1,8,5,2] => 0111011 => 1
[2,7,4,1,6,8,5,3] => 0110011 => 1
[2,3,7,6,8,1,5,4] => 0010101 => 2
[7,4,2,6,8,5,1,3] => 1100110 => 2
[7,3,2,5,8,6,1,4] => 1100110 => 2
[3,1,7,6,8,2,5,4] => 1010101 => 3
[3,7,6,8,1,2,5,4] => 0101001 => 2
[1,3,7,6,8,2,5,4] => 0010101 => 2
[1,7,4,2,6,8,5,3] => 0110011 => 1
[7,4,1,2,6,8,5,3] => 1100011 => 1
[7,1,4,2,8,5,6,3] => 1010101 => 3
[7,1,8,2,5,4,6,3] => 1010101 => 3
[7,3,8,4,6,1,5,2] => 1010101 => 3
[7,2,8,1,6,4,5,3] => 1010101 => 3
[7,1,6,8,5,4,2,3] => 1001110 => 2
[7,1,2,6,8,5,4,3] => 1000111 => 1
[1,7,2,6,8,5,4,3] => 0100111 => 1
[1,7,6,8,3,2,5,4] => 0101101 => 2
[7,6,8,3,1,2,5,4] => 1011001 => 2
[7,1,5,8,6,3,2,4] => 1001110 => 2
[7,2,5,8,6,3,1,4] => 1001110 => 2
[3,6,7,1,8,5,4,2] => 0010111 => 1
[7,2,6,8,5,4,1,3] => 1001110 => 2
[7,6,8,2,3,1,5,4] => 1010101 => 3
[2,7,6,8,3,1,5,4] => 0101101 => 2
[2,7,1,6,8,5,4,3] => 0100111 => 1
[6,7,3,1,8,5,4,2] => 0110111 => 1
[6,7,1,8,5,4,3,2] => 0101111 => 1
[7,2,1,6,8,5,4,3] => 1100111 => 1
[7,6,8,3,2,1,5,4] => 1011101 => 2
[4,7,8,5,6,1,3,2] => 0010101 => 2
[4,6,5,8,7,1,3,2] => 0101101 => 2
[5,6,4,8,1,2,7,3] => 0101001 => 2
[8,1,5,6,7,2,4,3] => 1000101 => 2
[6,4,5,1,8,2,7,3] => 1010101 => 3
[5,4,6,7,1,2,8,3] => 1001001 => 2
[4,3,6,7,2,1,5,8] => 1001100 => 2
[5,3,6,7,1,4,2,8] => 1001010 => 3
[8,1,4,6,7,3,2,5] => 1000110 => 2
[8,1,3,6,7,4,5,2] => 1000101 => 2
[7,2,1,6,8,4,5,3] => 1100101 => 2
[5,2,6,7,1,4,8,3] => 1001001 => 2
[4,2,6,7,3,1,8,5] => 1001101 => 2
[6,2,4,1,5,8,7,3] => 1010011 => 2
[7,2,1,5,4,8,6,3] => 1101011 => 2
[8,1,4,5,3,7,2,6] => 1001010 => 3
[7,3,1,5,4,8,2,6] => 1101010 => 3
[6,3,4,1,5,8,2,7] => 1010010 => 3
[5,3,4,2,1,8,6,7] => 1011010 => 3
[4,3,5,2,7,1,6,8] => 1010100 => 3
[5,6,3,8,1,4,2,7] => 0101010 => 3
[8,1,7,2,4,5,6,3] => 1010001 => 2
[7,6,1,2,4,5,8,3] => 1100001 => 1
[4,7,8,2,3,1,6,5] => 0010101 => 2
[5,6,2,8,1,4,7,3] => 0101001 => 2
[6,5,2,1,3,7,8,4] => 1110001 => 1
[7,5,1,3,2,6,8,4] => 1101001 => 2
[8,1,6,3,2,5,7,4] => 1011001 => 2
[7,4,1,3,5,2,8,6] => 1100101 => 2
[5,4,2,3,1,6,8,7] => 1101001 => 2
[7,3,1,4,5,6,2,8] => 1100010 => 2
[8,1,4,3,5,6,2,7] => 1010010 => 3
[6,2,3,1,5,7,8,4] => 1010001 => 2
[7,8,4,2,1,6,5,3] => 0111011 => 1
[7,8,4,2,1,5,6,3] => 0111001 => 1
[6,2,3,4,8,7,1,5] => 1000110 => 2
[6,2,3,4,7,8,1,5] => 1000010 => 2
[7,8,3,4,6,2,1,5] => 0100110 => 2
[7,8,3,6,4,2,1,5] => 0101110 => 2
[7,8,3,5,6,2,1,4] => 0100110 => 2
[6,2,3,8,7,5,1,4] => 1001110 => 2
[6,2,3,7,8,5,1,4] => 1000110 => 2
[5,2,6,3,8,1,7,4] => 1010101 => 3
[6,3,2,5,8,7,1,4] => 1100110 => 2
[6,3,2,8,4,7,1,5] => 1101010 => 3
[6,4,3,8,7,5,1,2] => 1101110 => 2
[6,4,3,7,8,5,1,2] => 1100110 => 2
[6,2,4,1,7,3,5,8] => 1010100 => 3
[6,3,2,7,4,8,1,5] => 1101010 => 3
[6,3,2,5,7,8,1,4] => 1100010 => 2
[5,7,2,3,6,1,8,4] => 0100101 => 2
[5,8,2,3,6,1,7,4] => 0100101 => 2
[4,7,5,8,3,2,1,6] => 0101110 => 2
[4,5,6,8,3,2,1,7] => 0001110 => 1
[4,6,8,5,3,2,1,7] => 0011110 => 1
[5,6,1,4,2,3,7,8] => 0101000 => 2
[5,6,8,4,3,7,1,2] => 0011010 => 2
[5,6,1,4,2,3,8,7] => 0101001 => 2
[5,2,8,3,4,1,7,6] => 1010101 => 3
[4,5,8,6,3,2,1,7] => 0011110 => 1
[4,6,5,8,3,2,1,7] => 0101110 => 2
[4,7,5,6,3,2,1,8] => 0101110 => 2
[6,2,3,4,5,8,1,7] => 1000010 => 2
[5,1,4,3,6,2,8,7] => 1010101 => 3
[5,1,4,3,7,2,8,6] => 1010101 => 3
[5,1,4,3,8,2,7,6] => 1010101 => 3
[5,6,2,4,1,7,8,3] => 0101001 => 2
[5,6,2,4,1,8,7,3] => 0101011 => 2
[5,7,2,4,1,8,6,3] => 0101011 => 2
[6,1,4,2,8,7,5,3] => 1010111 => 2
[6,1,4,2,7,8,5,3] => 1010011 => 2
[5,8,2,4,1,7,6,3] => 0101011 => 2
[5,2,7,4,1,6,8,3] => 1011001 => 2
[5,4,1,3,7,2,6,8] => 1100100 => 2
[5,1,4,3,6,2,7,8] => 1010100 => 3
[5,8,6,4,3,7,1,2] => 0111010 => 2
[5,8,1,4,2,3,7,6] => 0101001 => 2
[5,1,6,3,4,2,7,8] => 1010100 => 3
[4,8,6,5,3,2,1,7] => 0111110 => 1
[4,8,5,6,3,2,1,7] => 0101110 => 2
[5,4,7,8,3,2,1,6] => 1001110 => 2
[5,4,8,7,3,2,1,6] => 1011110 => 2
[4,6,8,7,3,2,1,5] => 0011110 => 1
[4,6,7,8,3,2,1,5] => 0001110 => 1
[4,7,6,8,3,2,1,5] => 0101110 => 2
[4,7,8,5,3,2,1,6] => 0011110 => 1
[5,7,1,3,4,2,6,8] => 0100100 => 2
[5,1,8,4,2,3,6,7] => 1011000 => 2
[5,1,7,4,2,3,6,8] => 1011000 => 2
[5,8,1,3,4,2,6,7] => 0100100 => 2
[4,8,7,5,3,2,1,6] => 0111110 => 1
[4,7,8,6,3,2,1,5] => 0011110 => 1
[4,8,7,6,3,2,1,5] => 0111110 => 1
[4,8,2,6,3,7,5,1] => 0101011 => 2
[4,8,2,3,6,7,5,1] => 0100011 => 1
[4,8,3,1,6,7,5,2] => 0110011 => 1
[4,3,8,1,6,2,5,7] => 1010100 => 3
[1,4,8,7,3,5,2,6] => 0011010 => 2
[4,3,8,7,2,5,1,6] => 1011010 => 3
[5,8,4,3,7,1,6,2] => 0110101 => 2
[5,8,1,4,7,2,6,3] => 0100101 => 2
[5,8,1,7,4,2,3,6] => 0101100 => 2
[6,8,1,2,4,3,5,7] => 0100100 => 2
[5,8,7,1,3,4,2,6] => 0110010 => 2
[4,8,7,6,3,1,2,5] => 0111100 => 1
[5,8,4,7,3,1,2,6] => 0101100 => 2
[4,3,8,2,7,5,6,1] => 1010101 => 3
[1,4,8,3,7,5,6,2] => 0010101 => 2
[1,4,3,8,2,6,5,7] => 0101010 => 3
[4,3,2,8,1,6,5,7] => 1101010 => 3
[4,1,3,8,2,6,5,7] => 1001010 => 3
[4,1,8,3,7,5,6,2] => 1010101 => 3
[4,1,8,7,3,5,2,6] => 1011010 => 3
[3,7,8,1,5,4,2,6] => 0010110 => 2
[7,3,8,1,5,4,6,2] => 1010101 => 3
[3,4,8,1,6,2,5,7] => 0010100 => 2
[3,4,8,7,2,5,1,6] => 0011010 => 2
[3,4,8,2,7,5,6,1] => 0010101 => 2
[1,2,4,8,3,6,5,7] => 0001010 => 2
[1,2,4,3,8,6,5,7] => 0010110 => 2
[3,4,2,1,8,6,5,7] => 0110110 => 2
[3,4,1,8,2,6,5,7] => 0101010 => 3
[3,6,7,8,4,1,2,5] => 0001100 => 1
[4,1,7,8,5,3,2,6] => 1001110 => 2
[4,1,2,8,3,6,5,7] => 1001010 => 3
[1,4,3,2,8,6,5,7] => 0110110 => 2
[4,2,3,1,8,6,5,7] => 1010110 => 3
[3,7,6,8,4,2,1,5] => 0101110 => 2
[4,7,1,8,5,2,3,6] => 0101100 => 2
[2,6,8,7,4,3,1,5] => 0011110 => 1
[3,7,8,6,2,4,1,5] => 0011010 => 2
[3,7,8,2,6,4,5,1] => 0010101 => 2
[4,2,3,8,1,6,5,7] => 1001010 => 3
[4,3,1,8,2,6,5,7] => 1101010 => 3
[1,4,7,8,5,3,2,6] => 0001110 => 1
[4,3,7,8,5,2,1,6] => 1001110 => 2
[3,7,2,8,4,6,5,1] => 0101011 => 2
[4,2,8,6,3,1,5,7] => 1011100 => 2
[2,6,8,4,7,3,1,5] => 0010110 => 2
[2,4,8,6,3,1,5,7] => 0011100 => 1
[7,3,6,8,4,2,1,5] => 1001110 => 2
[7,6,2,8,3,5,4,1] => 1101011 => 2
[1,7,3,8,4,6,5,2] => 0101011 => 2
[1,3,4,8,2,6,5,7] => 0001010 => 2
[3,2,4,8,1,6,5,7] => 1001010 => 3
[7,3,8,6,2,4,1,5] => 1011010 => 3
[7,3,8,2,6,4,5,1] => 1010101 => 3
[2,4,8,3,6,1,5,7] => 0010100 => 2
[6,2,8,7,4,3,5,1] => 1011101 => 2
[7,4,1,8,5,2,6,3] => 1101101 => 2
[7,3,2,8,4,6,5,1] => 1101011 => 2
[2,4,3,1,8,6,5,7] => 0110110 => 2
[1,3,4,2,8,6,5,7] => 0010110 => 2
[1,3,2,4,8,6,5,7] => 0100110 => 2
[3,2,1,4,8,6,5,7] => 1100110 => 2
[3,1,2,4,8,6,5,7] => 1000110 => 2
[3,1,4,2,8,6,5,7] => 1010110 => 3
[3,1,4,8,2,6,5,7] => 1001010 => 3
[7,3,4,8,5,1,6,2] => 1001101 => 2
[3,7,4,8,5,1,2,6] => 0101100 => 2
[6,7,2,8,3,5,4,1] => 0101011 => 2
[2,3,1,4,8,6,5,7] => 0100110 => 2
[2,1,3,4,8,6,5,7] => 1000110 => 2
[1,2,3,4,8,6,5,7] => 0000110 => 1
[4,8,3,6,2,1,5,7] => 0101100 => 2
[3,5,8,2,6,1,4,7] => 0010100 => 2
[3,6,5,8,2,4,1,7] => 0101010 => 3
[5,3,8,7,2,4,6,1] => 1011001 => 2
[2,8,4,5,7,3,6,1] => 0100101 => 2
[2,4,5,7,3,8,1,6] => 0001010 => 2
[6,2,4,5,8,3,1,7] => 1000110 => 2
[4,8,1,2,5,6,3,7] => 0100010 => 2
[8,1,3,5,2,6,4,7] => 1001010 => 3
[5,2,1,6,3,8,4,7] => 1101010 => 3
[6,2,5,1,8,4,3,7] => 1010110 => 3
[3,6,1,5,8,4,2,7] => 0100110 => 2
[6,1,4,5,8,3,2,7] => 1000110 => 2
[5,6,4,8,1,3,2,7] => 0101010 => 3
[6,5,4,3,8,2,1,7] => 1110110 => 2
[5,4,3,7,2,8,1,6] => 1101010 => 3
[5,8,4,3,7,2,6,1] => 0110101 => 2
[4,6,8,3,7,2,5,1] => 0010101 => 2
[7,4,6,3,2,8,1,5] => 1011010 => 3
[1,4,3,6,2,7,8,5] => 0101001 => 2
[1,5,4,3,7,2,8,6] => 0110101 => 2
[4,7,8,5,3,1,2,6] => 0011100 => 1
[5,7,3,4,1,2,8,6] => 0101001 => 2
[8,5,4,7,6,2,1,3] => 1101110 => 2
[8,5,7,4,3,6,1,2] => 1011010 => 3
[4,3,8,1,6,7,5,2] => 1010011 => 2
[4,7,8,3,6,1,5,2] => 0010101 => 2
[5,3,8,6,7,4,1,2] => 1010110 => 3
[1,3,8,6,4,7,5,2] => 0011011 => 1
[8,6,2,7,4,1,5,3] => 1101101 => 2
[7,6,2,1,4,3,8,5] => 1110101 => 2
[7,6,1,3,4,2,8,5] => 1100101 => 2
[1,5,7,3,2,6,8,4] => 0011001 => 1
[1,6,7,3,2,5,8,4] => 0011001 => 1
[3,2,6,8,5,7,4,1] => 1001011 => 2
[5,8,2,3,6,7,4,1] => 0100011 => 1
[7,5,2,3,1,6,8,4] => 1101001 => 2
[1,6,4,7,2,3,8,5] => 0101001 => 2
[3,1,7,5,2,8,4,6] => 1011010 => 3
[2,5,7,4,1,8,3,6] => 0011010 => 2
[4,2,6,1,7,8,3,5] => 1010010 => 3
[4,2,7,6,3,8,1,5] => 1011010 => 3
[6,4,8,7,2,3,5,1] => 1011001 => 2
[3,2,6,8,7,4,5,1] => 1001101 => 2
[3,2,7,4,1,6,8,5] => 1011001 => 2
[6,3,2,1,7,8,4,5] => 1110010 => 2
[3,7,1,8,4,2,5,6] => 0101100 => 2
[4,2,1,3,7,5,8,6] => 1100101 => 2
[8,1,3,7,4,2,6,5] => 1001101 => 2
[8,4,3,7,6,2,1,5] => 1101110 => 2
[8,3,5,2,7,6,1,4] => 1010110 => 3
[3,6,2,8,7,1,5,4] => 0101101 => 2
[7,3,2,8,1,6,5,4] => 1101011 => 2
[3,8,7,2,6,5,4,1] => 0110111 => 1
[4,2,7,8,6,1,5,3] => 1001101 => 2
[6,8,2,4,7,1,5,3] => 0100101 => 2
[5,2,1,8,7,3,6,4] => 1101101 => 2
[8,2,1,6,3,7,5,4] => 1101011 => 2
[6,8,3,1,7,5,2,4] => 0110110 => 2
[5,8,1,6,7,2,4,3] => 0100101 => 2
[6,2,8,1,5,7,4,3] => 1010011 => 2
[5,7,8,2,6,1,4,3] => 0010101 => 2
[8,7,2,5,6,4,3,1] => 1100111 => 1
[8,6,7,5,2,4,3,1] => 1011011 => 2
[7,2,6,8,1,5,4,3] => 1001011 => 2
[1,2,7,8,5,6,4,3] => 0001011 => 1
[7,4,8,1,6,2,5,3] => 1010101 => 3
[3,7,1,8,2,6,5,4] => 0101011 => 2
[2,1,7,3,8,6,5,4] => 1010111 => 2
[8,2,1,7,6,5,4,3] => 1101111 => 1
[8,1,4,7,6,5,3,2] => 1001111 => 1
[8,6,7,5,1,4,3,2] => 1011011 => 2
[7,8,6,5,4,1,3,2] => 0111101 => 1
[5,8,4,3,2,1,6,7] => 0111100 => 1
[6,4,7,3,2,1,8,5] => 1011101 => 2
[5,4,7,3,2,1,6,8] => 1011100 => 2
[6,5,3,7,2,1,4,8] => 1101100 => 2
[5,8,3,6,2,1,4,7] => 0101100 => 2
[6,3,7,8,2,1,4,5] => 1001100 => 2
[5,3,7,6,2,1,4,8] => 1011100 => 2
[3,8,7,6,2,1,4,5] => 0111100 => 1
[5,8,4,2,6,1,3,7] => 0110100 => 2
[4,8,7,2,5,1,3,6] => 0110100 => 2
[5,8,3,2,6,1,4,7] => 0110100 => 2
[4,8,3,2,5,1,7,6] => 0110101 => 2
[4,3,7,2,5,1,8,6] => 1010101 => 3
[3,8,7,2,5,1,4,6] => 0110100 => 2
[6,4,2,7,5,1,3,8] => 1101100 => 2
[6,3,2,7,5,1,4,8] => 1101100 => 2
[5,3,2,6,7,1,4,8] => 1100100 => 2
[3,8,2,6,5,1,4,7] => 0101100 => 2
[6,2,7,8,5,1,3,4] => 1001100 => 2
[5,2,7,6,8,1,3,4] => 1010100 => 3
[4,2,7,6,5,1,3,8] => 1011100 => 2
[2,8,7,6,5,1,3,4] => 0111100 => 1
[6,5,4,3,1,7,8,2] => 1111001 => 1
[6,4,7,3,1,5,8,2] => 1011001 => 2
[5,4,7,3,1,8,6,2] => 1011011 => 2
[6,4,3,7,1,5,8,2] => 1101001 => 2
[5,4,3,6,1,8,7,2] => 1101011 => 2
[6,3,7,8,1,4,5,2] => 1001001 => 2
[5,3,7,6,1,4,8,2] => 1011001 => 2
[4,3,7,6,1,5,8,2] => 1011001 => 2
[3,8,7,6,1,4,5,2] => 0111001 => 1
[6,5,4,2,1,7,3,8] => 1111010 => 2
[6,4,7,2,1,5,3,8] => 1011010 => 3
[4,8,7,2,1,5,3,6] => 0111010 => 2
[5,8,3,2,1,4,7,6] => 0111001 => 1
[4,8,3,2,1,5,7,6] => 0111001 => 1
[5,3,7,2,1,4,8,6] => 1011001 => 2
[3,8,7,2,1,4,5,6] => 0111000 => 1
[6,5,2,7,1,4,3,8] => 1101010 => 3
[5,8,2,6,1,4,3,7] => 0101010 => 3
[6,4,2,7,1,5,3,8] => 1101010 => 3
[5,4,2,6,1,8,3,7] => 1101010 => 3
[4,3,2,6,1,5,8,7] => 1101001 => 2
[6,2,7,8,1,4,3,5] => 1001010 => 3
[4,2,7,6,1,5,3,8] => 1011010 => 3
[3,2,7,6,1,4,5,8] => 1011000 => 2
[6,5,4,1,8,7,3,2] => 1110111 => 1
[5,8,4,1,6,7,3,2] => 0110011 => 1
[6,4,7,1,5,8,3,2] => 1010011 => 2
[5,4,7,1,6,8,3,2] => 1010011 => 2
[4,8,7,1,5,6,3,2] => 0110011 => 1
[5,4,3,1,6,8,7,2] => 1110011 => 1
[4,8,3,1,5,6,7,2] => 0110001 => 1
[3,8,7,1,5,4,6,2] => 0110101 => 2
[5,8,2,1,6,4,3,7] => 0110110 => 2
[6,3,2,1,5,4,8,7] => 1110101 => 2
[5,3,2,1,6,4,8,7] => 1110101 => 2
[3,8,2,1,5,4,6,7] => 0110100 => 2
[6,2,7,1,5,4,3,8] => 1010110 => 3
[5,2,7,1,6,4,3,8] => 1010110 => 3
[4,2,7,1,5,6,3,8] => 1010010 => 3
[3,2,7,1,5,4,6,8] => 1010100 => 3
[2,8,7,1,5,4,3,6] => 0110110 => 2
[6,5,1,7,8,4,3,2] => 1100111 => 1
[5,8,1,6,7,4,3,2] => 0100111 => 1
[6,4,1,7,5,8,3,2] => 1101011 => 2
[5,4,1,6,7,8,3,2] => 1100011 => 1
[4,8,1,6,5,7,3,2] => 0101011 => 2
[6,3,1,7,5,4,8,2] => 1101101 => 2
[5,3,1,6,7,4,8,2] => 1100101 => 2
[4,3,1,6,5,7,8,2] => 1101001 => 2
[3,8,1,6,5,4,7,2] => 0101101 => 2
[5,2,1,6,7,4,3,8] => 1100110 => 2
[4,2,1,6,5,7,3,8] => 1101010 => 3
[2,8,1,6,5,4,3,7] => 0101110 => 2
[6,1,7,8,5,4,3,2] => 1001111 => 1
[4,1,7,6,5,8,3,2] => 1011011 => 2
[3,1,7,6,5,4,8,2] => 1011101 => 2
[4,5,8,1,2,6,3,7] => 0010010 => 2
[1,4,5,7,2,6,3,8] => 0001010 => 2
[1,7,3,5,6,2,4,8] => 0100100 => 2
[8,1,3,5,7,2,4,6] => 1000100 => 2
[3,6,8,1,7,2,4,5] => 0010100 => 2
[3,4,5,6,8,1,7,2] => 0000101 => 1
[4,5,8,2,6,7,1,3] => 0010010 => 2
[8,2,3,5,6,7,1,4] => 1000010 => 2
[1,7,2,3,5,4,6,8] => 0100100 => 2
[8,1,2,3,5,4,6,7] => 1000100 => 2
[2,7,8,1,3,5,4,6] => 0010010 => 2
[2,7,8,3,5,6,1,4] => 0010010 => 2
[2,4,5,7,8,1,6,3] => 0000101 => 1
[4,5,8,1,7,6,3,2] => 0010111 => 1
[4,5,8,7,2,1,6,3] => 0011101 => 1
[8,7,3,5,6,2,1,4] => 1100110 => 2
[8,7,2,1,3,5,4,6] => 1110010 => 2
[3,6,8,7,2,1,5,4] => 0011101 => 1
[8,6,4,1,7,5,3,2] => 1110111 => 1
[7,6,4,3,1,8,5,2] => 1111011 => 1
[2,3,6,7,8,1,5,4] => 0000101 => 1
[3,6,8,1,2,5,4,7] => 0010010 => 2
[1,3,6,7,2,5,4,8] => 0001010 => 2
[7,4,1,8,5,2,3,6] => 1101100 => 2
[7,1,4,2,8,3,6,5] => 1010101 => 3
[7,1,8,2,5,3,6,4] => 1010101 => 3
[8,1,7,5,4,2,3,6] => 1011100 => 2
[1,7,2,6,5,4,3,8] => 0101110 => 2
[1,7,6,3,2,5,4,8] => 0111010 => 2
[8,6,3,1,2,5,4,7] => 1110010 => 2
[8,1,7,6,3,2,4,5] => 1011100 => 2
[8,2,5,7,6,3,1,4] => 1001110 => 2
[3,6,8,1,7,5,4,2] => 0010111 => 1
[8,2,6,7,5,4,1,3] => 1001110 => 2
[2,7,8,6,3,1,5,4] => 0011101 => 1
[2,7,8,1,6,5,4,3] => 0010111 => 1
[7,3,1,8,6,5,4,2] => 1101111 => 1
[8,7,2,1,6,5,4,3] => 1110111 => 1
[8,7,6,3,2,1,5,4] => 1111101 => 1
[2,1,8,6,3,7,4,5] => 1011010 => 3
[8,6,1,5,2,7,4,3] => 1101011 => 2
[8,5,1,7,4,2,6,3] => 1101101 => 2
[2,1,7,5,4,3,8,6] => 1011101 => 2
[2,1,7,8,3,6,5,4] => 1001011 => 2
[2,1,4,8,5,7,3,6] => 1001010 => 3
[8,5,3,1,6,2,4,7] => 1110100 => 2
[6,4,1,5,2,3,8,7] => 1101001 => 2
[8,3,7,5,2,6,1,4] => 1011010 => 3
[5,3,7,4,6,8,1,2] => 1010010 => 3
[5,8,3,7,6,2,1,4] => 0101110 => 2
[4,2,6,3,8,5,1,7] => 1010110 => 3
[5,8,2,1,7,6,4,3] => 0110111 => 1
[8,3,2,4,1,7,5,6] => 1101010 => 3
[7,8,3,1,5,4,6,2] => 0110101 => 2
[7,2,8,1,4,6,5,3] => 1010011 => 2
[6,2,3,1,4,5,8,7] => 1010001 => 2
[6,8,1,4,5,3,2,7] => 0100110 => 2
[8,2,6,1,4,7,3,5] => 1010010 => 3
[8,3,5,6,1,7,4,2] => 1001011 => 2
[6,3,5,4,1,2,8,7] => 1011001 => 2
[8,7,3,6,5,1,4,2] => 1101101 => 2
[2,7,4,3,6,1,8,5] => 0110101 => 2
[3,4,7,2,8,1,5,6] => 0010100 => 2
[4,2,3,5,8,1,6,7] => 1000100 => 2
[3,8,4,7,1,6,5,2] => 0101011 => 2
[3,2,4,6,1,5,8,7] => 1001001 => 2
[8,3,4,5,7,6,1,2] => 1000110 => 2
[3,2,4,5,6,8,1,7] => 1000010 => 2
[5,6,8,1,4,2,7,3] => 0010101 => 2
[1,5,7,8,4,6,2,3] => 0001010 => 2
[1,3,5,7,8,6,2,4] => 0000110 => 1
[3,5,7,8,6,1,2,4] => 0001100 => 1
[3,5,1,6,8,2,7,4] => 0100101 => 2
[3,1,5,6,8,2,7,4] => 1000101 => 2
[2,3,5,6,8,1,7,4] => 0000101 => 1
[5,6,4,8,2,1,7,3] => 0101101 => 2
[5,1,6,3,8,4,7,2] => 1010101 => 3
[2,5,1,6,8,3,7,4] => 0100101 => 2
[5,1,2,6,8,3,7,4] => 1000101 => 2
[5,7,1,8,6,2,3,4] => 0101100 => 2
[1,5,2,7,8,6,3,4] => 0100110 => 2
[1,6,7,5,2,8,3,4] => 0011010 => 2
[6,1,7,5,2,8,3,4] => 1011010 => 3
[2,6,7,5,1,8,3,4] => 0011010 => 2
[5,7,2,8,6,1,3,4] => 0101100 => 2
[3,5,7,8,6,2,1,4] => 0001110 => 1
[5,1,7,8,6,3,4,2] => 1001101 => 2
[5,1,3,7,8,6,4,2] => 1000111 => 1
[5,2,7,8,4,6,1,3] => 1001010 => 3
[3,2,5,7,8,6,1,4] => 1000110 => 2
[6,2,7,5,1,8,3,4] => 1011010 => 3
[1,2,6,7,5,8,3,4] => 0001010 => 2
[6,2,7,5,4,1,8,3] => 1011101 => 2
[6,7,5,2,4,1,8,3] => 0110101 => 2
[6,7,2,5,3,8,1,4] => 0101010 => 3
[6,7,4,5,2,1,8,3] => 0101101 => 2
[5,1,7,8,6,4,3,2] => 1001111 => 1
[2,5,7,8,6,3,1,4] => 0001110 => 1
[5,1,7,8,6,3,2,4] => 1001110 => 2
[6,3,7,5,1,8,2,4] => 1011010 => 3
[1,6,7,5,3,8,2,4] => 0011010 => 2
[1,6,7,5,4,2,8,3] => 0011101 => 1
[6,7,5,1,4,2,8,3] => 0110101 => 2
[5,7,8,6,4,1,2,3] => 0011100 => 1
[4,1,7,2,6,5,8,3] => 1010101 => 3
[2,4,7,1,5,6,8,3] => 0010001 => 1
[6,7,4,1,5,2,8,3] => 0110101 => 2
[1,6,7,4,5,2,8,3] => 0010101 => 2
[1,6,3,7,5,8,2,4] => 0101010 => 3
[6,3,1,7,5,8,2,4] => 1101010 => 3
[2,5,3,7,8,6,1,4] => 0100110 => 2
[6,7,5,4,2,1,8,3] => 0111101 => 1
[6,3,2,7,5,8,1,4] => 1101010 => 3
[6,7,4,2,5,1,8,3] => 0110101 => 2
[6,2,7,4,5,1,8,3] => 1010101 => 3
[6,2,3,7,5,8,1,4] => 1001010 => 3
[4,5,1,6,3,2,8,7] => 0101101 => 2
[7,5,1,6,3,8,2,4] => 1101010 => 3
[7,5,1,6,3,8,4,2] => 1101011 => 2
[2,7,6,1,3,8,4,5] => 0110010 => 2
[2,7,6,1,3,8,5,4] => 0110011 => 1
[7,3,5,1,8,2,6,4] => 1010101 => 3
[7,3,5,1,8,2,4,6] => 1010100 => 3
[3,7,5,1,8,6,2,4] => 0110110 => 2
[2,6,7,1,5,8,3,4] => 0010010 => 2
[2,6,7,4,1,8,3,5] => 0011010 => 2
[2,1,6,7,3,8,5,4] => 1001011 => 2
[2,6,7,4,1,8,5,3] => 0011011 => 1
[2,6,7,1,5,8,4,3] => 0010011 => 1
[3,6,5,1,8,4,7,2] => 0110101 => 2
[3,6,5,1,8,4,2,7] => 0110110 => 2
[3,7,5,4,8,1,6,2] => 0110101 => 2
[3,7,5,4,8,1,2,6] => 0110100 => 2
[4,6,1,5,8,7,3,2] => 0100111 => 1
[4,6,1,5,8,7,2,3] => 0100110 => 2
[4,6,1,5,8,2,7,3] => 0100101 => 2
[7,5,1,6,2,8,3,4] => 1101010 => 3
[7,5,1,6,2,8,4,3] => 1101011 => 2
[4,6,1,5,8,2,3,7] => 0100100 => 2
[4,7,1,5,8,3,6,2] => 0100101 => 2
[2,3,4,7,8,1,6,5] => 0000101 => 1
[6,8,5,4,3,2,7,1] => 0111101 => 1
[10,11,9,8,7,6,5,4,3,2,1] => 0111111111 => 0
[7,9,6,5,4,3,2,8,1] => 01111101 => 1
[8,9,6,5,4,3,2,1,7] => 01111110 => 1
[6,8,5,4,3,7,2,1] => 0111011 => 1
[5,8,4,3,2,1,7,6] => 0111101 => 1
[6,5,4,3,1,8,7,2] => 1111011 => 1
[8,7,6,5,4,3,9,1,2] => 11111010 => 2
[8,7,5,4,3,1,6,2] => 1111101 => 1
[9,7,6,5,4,3,1,8,2] => 11111101 => 1
[11,10,9,8,7,6,5,4,3,1,2] => 1111111110 => 1
[8,3,4,6,2,1,5,7] => 1001100 => 2
[3,5,6,2,1,8,4,7] => 0011010 => 2
[3,5,2,6,8,4,1,7] => 0100110 => 2
[7,5,3,2,8,4,1,6] => 1110110 => 2
[7,5,3,2,8,4,6,1] => 1110101 => 2
[2,4,5,7,3,8,6,1] => 0001011 => 1
[4,2,5,6,8,3,1,7] => 1000110 => 2
[4,2,8,1,5,6,3,7] => 1010010 => 3
[2,5,6,1,8,4,3,7] => 0010110 => 2
[5,3,6,8,1,4,2,7] => 1001010 => 3
[4,5,6,8,1,3,2,7] => 0001010 => 2
[1,4,5,6,8,3,2,7] => 0000110 => 1
[4,5,6,3,8,2,1,7] => 0010110 => 2
[4,5,3,7,2,8,6,1] => 0101011 => 2
[6,4,7,3,2,8,5,1] => 1011011 => 2
[6,1,4,7,3,2,8,5] => 1001101 => 2
[1,7,8,4,5,3,2,6] => 0010110 => 2
[5,1,7,3,8,4,2,6] => 1010110 => 3
[2,5,1,7,4,3,8,6] => 0101101 => 2
[2,5,7,4,1,8,6,3] => 0011011 => 1
[5,3,7,1,4,8,6,2] => 1010011 => 2
[6,4,3,1,7,8,5,2] => 1110011 => 1
[6,4,1,7,3,8,5,2] => 1101011 => 2
[5,6,3,7,8,4,2,1] => 0100111 => 1
[5,1,6,3,7,8,4,2] => 1010011 => 2
[5,6,1,3,7,8,4,2] => 0100011 => 1
[5,6,1,7,8,3,4,2] => 0100101 => 2
[1,6,3,7,4,8,5,2] => 0101011 => 2
[6,7,2,4,1,8,5,3] => 0101011 => 2
[6,7,2,1,4,3,8,5] => 0110101 => 2
[6,4,7,3,1,2,8,5] => 1011001 => 2
[5,6,3,1,2,7,8,4] => 0110001 => 1
[5,6,1,3,2,7,8,4] => 0101001 => 2
[5,6,3,2,1,7,8,4] => 0111001 => 1
[2,5,6,3,7,8,4,1] => 0010011 => 1
[2,5,6,3,1,7,8,4] => 0011001 => 1
[2,6,4,7,3,1,8,5] => 0101101 => 2
[6,3,7,2,8,4,5,1] => 1010101 => 3
[6,3,7,2,8,4,1,5] => 1010110 => 3
[6,3,2,7,1,8,4,5] => 1101010 => 3
[7,5,3,2,1,8,4,6] => 1111010 => 2
[7,3,8,4,2,1,5,6] => 1011100 => 2
[4,7,2,1,3,8,6,5] => 0110011 => 1
[1,3,7,8,6,4,2,5] => 0001110 => 1
[7,3,8,4,6,2,1,5] => 1010110 => 3
[5,7,3,8,2,1,6,4] => 0101101 => 2
[6,3,7,8,5,2,1,4] => 1001110 => 2
[4,6,2,7,8,5,3,1] => 0100111 => 1
[4,6,2,1,7,8,5,3] => 0110011 => 1
[7,4,5,8,1,2,6,3] => 1001001 => 2
[2,5,1,7,3,8,6,4] => 0101011 => 2
[6,7,2,1,3,8,5,4] => 0110011 => 1
[5,1,6,7,8,2,4,3] => 1000101 => 2
[6,3,7,1,8,5,2,4] => 1010110 => 3
[6,2,1,7,3,8,5,4] => 1101011 => 2
[6,2,7,1,8,5,4,3] => 1010111 => 2
[6,3,1,7,8,5,4,2] => 1100111 => 1
[4,1,3,6,8,2,5,7] => 1000100 => 2
[4,2,3,6,8,1,5,7] => 1000100 => 2
[5,3,2,1,8,4,7,6] => 1110101 => 2
[3,6,5,8,2,1,7,4] => 0101101 => 2
[4,5,2,1,3,8,7,6] => 0110011 => 1
[3,2,6,4,5,8,1,7] => 1010010 => 3
[2,4,6,5,8,1,3,7] => 0010100 => 2
[1,6,2,4,5,8,3,7] => 0100010 => 2
[5,3,2,1,6,8,4,7] => 1110010 => 2
[6,2,4,5,8,1,3,7] => 1000100 => 2
[1,3,4,6,5,8,2,7] => 0001010 => 2
[1,6,3,4,5,8,2,7] => 0100010 => 2
[3,4,1,8,5,2,7,6] => 0101101 => 2
[2,8,4,1,7,6,3,5] => 0110110 => 2
[8,1,4,2,7,3,6,5] => 1010101 => 3
[1,5,3,2,8,7,4,6] => 0110110 => 2
[8,2,1,7,5,3,4,6] => 1101100 => 2
[1,7,6,4,5,8,3,2] => 0110011 => 1
[5,8,7,4,1,2,6,3] => 0111001 => 1
[5,8,7,4,6,2,1,3] => 0110110 => 2
[3,4,2,5,8,6,7,1] => 0100101 => 2
[4,1,3,5,6,8,7,2] => 1000011 => 1
[2,4,8,6,7,1,3,5] => 0010100 => 2
[4,3,6,2,8,1,7,5] => 1010101 => 3
[3,7,4,8,2,1,6,5] => 0101101 => 2
[2,3,5,8,6,7,1,4] => 0001010 => 2
[3,2,5,6,8,7,1,4] => 1000110 => 2
[2,1,8,5,6,7,3,4] => 1010010 => 3
[1,2,8,3,5,6,7,4] => 0010001 => 1
[4,2,3,7,1,8,6,5] => 1001011 => 2
[3,2,6,4,8,1,7,5] => 1010101 => 3
[8,2,1,6,7,3,4,5] => 1100100 => 2
[2,7,8,5,4,1,3,6] => 0011100 => 1
[1,7,5,3,8,4,2,6] => 0110110 => 2
[4,7,5,3,1,2,8,6] => 0111001 => 1
[7,2,4,8,5,3,1,6] => 1001110 => 2
[4,8,3,1,2,7,6,5] => 0110011 => 1
[3,5,2,7,4,1,8,6] => 0101101 => 2
[8,4,2,3,7,1,5,6] => 1100100 => 2
[2,8,4,7,1,3,5,6] => 0101000 => 2
[8,2,4,6,7,1,3,5] => 1000100 => 2
[4,8,2,3,6,7,1,5] => 0100010 => 2
[3,5,2,7,6,1,8,4] => 0101101 => 2
[1,6,3,2,5,8,7,4] => 0110011 => 1
[5,8,3,2,1,6,7,4] => 0111001 => 1
[5,8,7,3,4,6,2,1] => 0110011 => 1
[5,8,2,7,4,1,6,3] => 0101101 => 2
[5,1,4,2,8,7,6,3] => 1010111 => 2
[4,7,6,5,8,2,1,3] => 0110110 => 2
[5,3,7,1,6,2,8,4] => 1010101 => 3
[5,2,6,8,7,1,3,4] => 1001100 => 2
[6,3,2,1,8,5,7,4] => 1110101 => 2
[2,7,5,4,1,8,6,3] => 0111011 => 1
[4,2,5,6,8,7,1,3] => 1000110 => 2
[1,8,4,2,5,6,7,3] => 0110001 => 1
[3,8,4,1,5,6,7,2] => 0110001 => 1
[4,2,8,5,6,7,1,3] => 1010010 => 3
[5,2,4,7,1,8,6,3] => 1001011 => 2
[5,3,4,7,1,8,6,2] => 1001011 => 2
[8,6,4,1,3,2,5,7] => 1110100 => 2
[8,1,3,6,5,2,4,7] => 1001100 => 2
[8,1,4,3,6,5,2,7] => 1010110 => 3
[3,6,5,2,1,8,7,4] => 0111011 => 1
[8,3,2,4,6,5,1,7] => 1100110 => 2
[8,4,2,1,6,5,3,7] => 1110110 => 2
[8,4,1,2,6,5,3,7] => 1100110 => 2
[8,6,4,2,1,5,3,7] => 1111010 => 2
[8,3,6,4,1,5,2,7] => 1011010 => 3
[8,2,6,3,4,5,1,7] => 1010010 => 3
[1,3,4,8,5,7,2,6] => 0001010 => 2
[5,8,4,7,6,2,3,1] => 0101101 => 2
[1,3,4,7,5,8,2,6] => 0001010 => 2
[1,3,5,2,4,8,7,6] => 0010011 => 1
[2,6,5,1,3,8,7,4] => 0110011 => 1
[4,7,1,6,5,8,3,2] => 0101011 => 2
[5,4,8,7,6,3,1,2] => 1011110 => 2
[2,8,5,1,4,7,6,3] => 0110011 => 1
[4,3,1,5,8,6,7,2] => 1100101 => 2
[4,1,3,5,8,6,7,2] => 1000101 => 2
[6,5,3,8,4,7,1,2] => 1101010 => 3
[5,4,2,1,6,8,7,3] => 1110011 => 1
[6,8,4,3,2,7,1,5] => 0111010 => 2
[3,4,7,8,2,1,6,5] => 0001101 => 1
[5,1,3,2,8,6,7,4] => 1010101 => 3
[5,3,1,2,8,6,7,4] => 1100101 => 2
[5,2,3,1,6,8,7,4] => 1010011 => 2
[5,3,2,1,8,6,7,4] => 1110101 => 2
[5,2,1,3,6,8,7,4] => 1100011 => 1
[2,4,7,3,8,1,6,5] => 0010101 => 2
[6,3,8,2,7,4,1,5] => 1010110 => 3
[8,2,1,3,6,4,7,5] => 1100101 => 2
[3,5,1,7,8,4,2,6] => 0100110 => 2
[2,7,4,5,8,3,1,6] => 0100110 => 2
[1,8,4,3,7,2,6,5] => 0110101 => 2
[3,4,8,7,2,1,6,5] => 0011101 => 1
[5,4,7,8,3,6,2,1] => 1001011 => 2
[6,4,3,8,7,2,1,5] => 1101110 => 2
[6,3,8,7,4,1,2,5] => 1011100 => 2
[3,5,7,2,4,8,1,6] => 0010010 => 2
[8,4,7,2,3,1,5,6] => 1010100 => 3
[8,4,7,1,3,2,5,6] => 1010100 => 3
[8,4,7,2,1,3,5,6] => 1011000 => 2
[8,6,4,2,1,3,7,5] => 1111001 => 1
[8,6,4,1,3,2,7,5] => 1110101 => 2
[8,6,4,2,3,1,7,5] => 1110101 => 2
[3,5,7,2,6,1,8,4] => 0010101 => 2
[6,1,3,8,5,7,2,4] => 1001010 => 3
[5,8,3,2,6,7,1,4] => 0110010 => 2
[4,8,5,3,6,2,7,1] => 0110101 => 2
[2,8,1,5,4,7,6,3] => 0101011 => 2
[1,5,8,7,4,6,2,3] => 0011010 => 2
[2,1,7,6,4,5,8,3] => 1011001 => 2
[1,7,2,4,6,5,8,3] => 0100101 => 2
[3,5,1,7,6,8,2,4] => 0101010 => 3
[5,8,2,6,1,3,7,4] => 0101001 => 2
[6,3,5,8,7,2,1,4] => 1001110 => 2
[2,5,7,8,4,1,6,3] => 0001101 => 1
[4,2,8,1,5,6,7,3] => 1010001 => 2
[4,1,5,2,6,8,7,3] => 1010011 => 2
[3,4,5,1,6,8,7,2] => 0010011 => 1
[4,2,8,5,1,6,7,3] => 1011001 => 2
[4,1,8,5,2,6,7,3] => 1011001 => 2
[2,7,1,8,5,4,6,3] => 0101101 => 2
[5,8,6,2,1,3,7,4] => 0111001 => 1
[8,2,4,1,5,6,7,3] => 1010001 => 2
[4,6,3,5,8,1,7,2] => 0100101 => 2
[1,7,8,3,5,4,6,2] => 0010101 => 2
[3,4,5,1,8,6,7,2] => 0010101 => 2
[3,8,1,4,5,6,7,2] => 0100001 => 1
[3,4,5,6,8,2,1,7] => 0000110 => 1
[3,4,5,7,1,8,6,2] => 0001011 => 1
[3,4,5,7,8,2,6,1] => 0000101 => 1
[3,4,6,2,8,5,1,7] => 0010110 => 2
[3,4,6,8,1,5,2,7] => 0001010 => 2
[3,4,7,2,1,8,6,5] => 0011011 => 1
[3,4,7,8,1,5,6,2] => 0001001 => 1
[3,4,8,2,1,5,6,7] => 0011000 => 1
[3,5,2,6,7,8,1,4] => 0100010 => 2
[3,5,2,7,8,4,6,1] => 0100101 => 2
[3,5,2,8,4,1,6,7] => 0101100 => 2
[3,5,6,2,8,4,1,7] => 0010110 => 2
[3,5,6,8,4,1,2,7] => 0001100 => 1
[3,5,7,2,4,8,6,1] => 0010011 => 1
[3,5,7,2,8,4,6,1] => 0010101 => 2
[3,5,7,8,4,1,6,2] => 0001101 => 1
[3,6,2,1,7,8,5,4] => 0110011 => 1
[3,6,2,1,8,5,4,7] => 0110110 => 2
[3,6,7,2,4,8,5,1] => 0010011 => 1
[3,6,7,2,8,5,4,1] => 0010111 => 1
[3,6,7,8,4,5,1,2] => 0001010 => 2
[3,6,8,2,4,5,1,7] => 0010010 => 2
[3,7,2,1,4,8,6,5] => 0110011 => 1
[3,7,2,1,8,5,6,4] => 0110101 => 2
[3,7,2,8,4,5,6,1] => 0101001 => 2
[3,7,8,2,4,5,6,1] => 0010001 => 1
[3,8,2,1,4,5,6,7] => 0110000 => 1
[4,1,5,6,7,8,3,2] => 1000011 => 1
[4,1,5,7,3,8,6,2] => 1001011 => 2
[4,1,6,3,7,8,5,2] => 1010011 => 2
[4,1,6,3,8,5,2,7] => 1010110 => 3
[4,1,6,7,3,8,5,2] => 1001011 => 2
[4,1,6,7,8,5,2,3] => 1000110 => 2
[4,1,6,8,3,5,2,7] => 1001010 => 3
[4,1,7,3,2,8,6,5] => 1011011 => 2
[4,1,7,8,3,5,6,2] => 1001001 => 2
[4,1,8,3,2,5,6,7] => 1011000 => 2
[4,5,2,6,7,8,3,1] => 0100011 => 1
[4,5,2,6,8,1,3,7] => 0100100 => 2
[4,5,6,3,8,1,2,7] => 0010100 => 2
[4,5,6,8,3,1,2,7] => 0001100 => 1
[4,5,7,3,8,1,6,2] => 0010101 => 2
[4,5,8,3,2,1,6,7] => 0011100 => 1
[4,6,2,3,7,8,5,1] => 0100011 => 1
[4,6,2,3,8,5,1,7] => 0100110 => 2
[4,6,2,7,3,8,5,1] => 0101011 => 2
[4,6,2,7,8,5,1,3] => 0100110 => 2
[4,6,7,3,2,8,5,1] => 0011011 => 1
[4,6,8,3,2,5,1,7] => 0011010 => 2
[4,7,2,3,1,8,6,5] => 0101011 => 2
[4,7,2,8,3,5,6,1] => 0101001 => 2
[4,7,8,3,2,5,6,1] => 0011001 => 1
[4,8,2,3,1,5,6,7] => 0101000 => 2
[5,1,2,6,8,4,3,7] => 1000110 => 2
[5,1,2,7,4,8,6,3] => 1001011 => 2
[5,1,2,7,8,4,6,3] => 1000101 => 2
[5,1,2,8,4,3,6,7] => 1001100 => 2
[5,1,6,3,8,4,2,7] => 1010110 => 3
[5,1,6,7,4,8,2,3] => 1001010 => 3
[5,1,6,7,8,4,2,3] => 1000110 => 2
[5,1,8,3,4,2,6,7] => 1010100 => 3
[5,6,2,3,8,4,1,7] => 0100110 => 2
[5,6,2,7,8,4,1,3] => 0100110 => 2
[5,6,8,3,4,2,1,7] => 0010110 => 2
[5,7,2,3,4,8,6,1] => 0100011 => 1
[5,7,2,3,8,4,6,1] => 0100101 => 2
[5,7,8,3,4,2,6,1] => 0010101 => 2
[5,8,2,3,4,1,6,7] => 0100100 => 2
[6,1,2,3,7,8,5,4] => 1000011 => 1
[6,1,2,3,8,5,4,7] => 1000110 => 2
[6,1,2,7,8,5,4,3] => 1000111 => 1
[6,1,2,8,4,5,3,7] => 1001010 => 3
[6,1,7,3,4,8,5,2] => 1010011 => 2
[6,1,7,3,8,5,4,2] => 1010111 => 2
[6,1,7,8,4,5,3,2] => 1001011 => 2
[6,1,8,3,4,5,2,7] => 1010010 => 3
[6,7,2,3,8,5,4,1] => 0100111 => 1
[6,7,2,8,4,5,3,1] => 0101011 => 2
[6,8,2,3,4,5,1,7] => 0100010 => 2
[7,1,2,3,4,8,6,5] => 1000011 => 1
[7,1,2,8,4,5,6,3] => 1001001 => 2
[7,1,8,3,4,5,6,2] => 1010001 => 2
[6,4,1,8,2,3,7,5] => 1101001 => 2
[5,8,1,2,4,3,7,6] => 0100101 => 2
[1,3,5,7,2,6,4,8] => 0001010 => 2
[3,5,8,6,1,2,4,7] => 0011000 => 1
[3,1,6,8,2,4,7,5] => 1001001 => 2
[3,6,2,8,1,5,7,4] => 0101001 => 2
[2,6,1,3,8,4,7,5] => 0100101 => 2
[1,7,5,2,3,4,6,8] => 0110000 => 1
[2,7,5,1,3,8,4,6] => 0110010 => 2
[8,2,5,7,4,6,1,3] => 1001010 => 3
[8,2,1,3,7,6,4,5] => 1100110 => 2
[8,2,5,1,3,7,4,6] => 1010010 => 3
[8,2,7,5,3,1,6,4] => 1011101 => 2
[8,2,6,5,4,7,1,3] => 1011010 => 3
[7,6,5,2,4,8,1,3] => 1110010 => 2
[7,8,2,5,3,1,6,4] => 0101101 => 2
[7,1,8,6,3,2,4,5] => 1011100 => 2
[6,8,1,5,3,2,4,7] => 0101100 => 2
[1,6,7,5,3,2,4,8] => 0011100 => 1
[6,5,1,2,4,8,3,7] => 1100010 => 2
[7,8,1,6,4,2,3,5] => 0101100 => 2
[8,4,1,2,5,6,3,7] => 1100010 => 2
[1,7,3,6,5,2,4,8] => 0101100 => 2
[8,1,3,7,2,6,4,5] => 1001010 => 3
[7,3,2,6,5,1,8,4] => 1101101 => 2
[7,8,4,2,5,6,1,3] => 0110010 => 2
[8,2,7,4,5,6,1,3] => 1010010 => 3
[8,2,3,6,5,1,7,4] => 1001101 => 2
[7,9,8,6,5,4,3,2,1] => 01111111 => 0
[6,9,8,7,5,4,3,2,1] => 01111111 => 0
[5,9,8,7,6,4,3,2,1] => 01111111 => 0
[4,9,8,7,6,5,3,2,1] => 01111111 => 0
[3,9,8,7,6,5,4,2,1] => 01111111 => 0
[2,9,8,7,6,5,4,3,1] => 01111111 => 0
[8,10,9,7,6,5,4,3,2,1] => 011111111 => 0
[6,9,7,8,5,4,3,2,1] => 01011111 => 1
[7,10,9,8,6,5,4,3,2,1] => 011111111 => 0
[4,8,6,5,7,3,2,1] => 0110111 => 1
[5,9,8,6,7,4,3,2,1] => 01101111 => 1
[6,10,9,8,7,5,4,3,2,1] => 011111111 => 0
[3,8,7,5,4,6,2,1] => 0111011 => 1
[4,8,5,6,7,3,2,1] => 0100111 => 1
[4,9,8,7,5,6,3,2,1] => 01110111 => 1
[5,10,9,8,7,6,4,3,2,1] => 011111111 => 0
[2,8,7,6,4,3,5,1] => 0111101 => 1
[3,8,7,4,5,6,2,1] => 0110011 => 1
[3,9,8,7,6,4,5,2,1] => 01111011 => 1
[4,10,9,8,7,6,5,3,2,1] => 011111111 => 0
[1,8,7,6,5,3,2,4] => 0111110 => 1
[2,8,7,6,3,4,5,1] => 0111001 => 1
[2,9,8,7,6,5,3,4,1] => 01111101 => 1
[3,10,9,8,7,6,5,4,2,1] => 011111111 => 0
[1,8,7,6,5,2,3,4] => 0111100 => 1
[1,9,8,7,6,5,4,2,3] => 01111110 => 1
[2,10,9,8,7,6,5,4,3,1] => 011111111 => 0
[7,2,8,6,5,4,1,3] => 1011110 => 2
[7,2,8,5,4,6,1,3] => 1011010 => 3
[6,3,2,8,5,1,7,4] => 1101101 => 2
[8,4,7,2,5,6,3,1] => 1010011 => 2
[6,8,5,4,3,1,7,2] => 0111101 => 1
[5,8,6,4,1,3,7,2] => 0111001 => 1
[4,8,6,1,5,3,7,2] => 0110101 => 2
[3,6,1,8,5,2,7,4] => 0101101 => 2
[3,4,1,2,8,6,7,5] => 0100101 => 2
[6,8,3,5,4,1,7,2] => 0101101 => 2
[7,2,5,8,3,6,1,4] => 1001010 => 3
[1,7,5,6,3,4,2,8] => 0101010 => 3
[7,2,6,8,5,3,1,4] => 1001110 => 2
[7,6,3,8,5,2,1,4] => 1101110 => 2
[7,2,6,4,8,3,1,5] => 1010110 => 3
[1,5,7,4,2,6,3,8] => 0011010 => 2
[4,2,3,1,7,8,5,6] => 1010010 => 3
[5,2,8,4,1,7,6,3] => 1011011 => 2
[8,6,3,4,7,2,5,1] => 1100101 => 2
[6,8,3,4,5,1,7,2] => 0100101 => 2
[1,6,3,2,5,8,4,7] => 0110010 => 2
[8,3,2,1,5,4,7,6] => 1110101 => 2
[6,3,7,1,5,8,4,2] => 1010011 => 2
[2,5,1,8,4,3,7,6] => 0101101 => 2
[6,2,5,4,8,1,3,7] => 1010100 => 3
[4,3,1,6,5,8,2,7] => 1101010 => 3
[1,3,5,4,6,8,2,7] => 0010010 => 2
[6,1,3,4,5,8,2,7] => 1000010 => 2
[8,3,4,1,5,2,7,6] => 1010101 => 3
[7,5,4,2,6,8,3,1] => 1110011 => 1
[8,2,6,4,1,7,3,5] => 1011010 => 3
[7,3,8,4,5,2,1,6] => 1010110 => 3
[7,2,5,1,8,4,3,6] => 1010110 => 3
[1,7,3,2,5,4,8,6] => 0110101 => 2
[8,7,2,1,5,3,4,6] => 1110100 => 2
[3,6,1,5,8,7,4,2] => 0100111 => 1
[8,3,6,4,5,1,7,2] => 1010101 => 3
[5,4,6,8,1,2,7,3] => 1001001 => 2
[6,4,7,2,3,5,8,1] => 1010001 => 2
[6,8,4,1,3,5,7,2] => 0110001 => 1
[3,4,7,8,6,2,5,1] => 0001101 => 1
[4,1,3,5,7,8,6,2] => 1000011 => 1
[6,5,1,8,4,7,3,2] => 1101011 => 2
[5,3,1,8,4,7,6,2] => 1101011 => 2
[8,2,7,4,6,1,3,5] => 1010100 => 3
[4,7,3,2,8,1,6,5] => 0110101 => 2
[6,3,1,4,7,2,8,5] => 1100101 => 2
[8,7,3,6,1,5,2,4] => 1101010 => 3
[7,4,3,6,8,2,5,1] => 1100101 => 2
[2,4,7,3,8,5,6,1] => 0010101 => 2
[2,8,6,1,5,7,3,4] => 0110010 => 2
[7,8,2,5,4,3,1,6] => 0101110 => 2
[1,8,3,4,2,7,6,5] => 0101011 => 2
[8,5,3,7,4,2,6,1] => 1101101 => 2
[5,7,3,2,4,1,8,6] => 0110101 => 2
[2,8,3,4,7,1,5,6] => 0100100 => 2
[4,1,3,6,7,8,2,5] => 1000010 => 2
[1,7,6,3,2,5,8,4] => 0111001 => 1
[3,8,1,5,6,2,7,4] => 0100101 => 2
[8,2,5,6,1,7,4,3] => 1001011 => 2
[7,1,5,2,8,6,4,3] => 1010111 => 2
[6,5,4,8,7,2,1,3] => 1101110 => 2
[1,8,6,4,5,2,7,3] => 0110101 => 2
[1,8,5,3,6,2,7,4] => 0110101 => 2
[3,6,2,1,7,5,8,4] => 0110101 => 2
[2,5,4,1,8,7,6,3] => 0110111 => 1
[4,7,2,6,5,8,1,3] => 0101010 => 3
[6,8,1,4,2,7,3,5] => 0101010 => 3
[6,3,4,7,1,8,2,5] => 1001010 => 3
[3,4,7,8,2,5,6,1] => 0001001 => 1
[1,8,2,4,5,6,7,3] => 0100001 => 1
[5,2,4,1,6,8,7,3] => 1010011 => 2
[3,2,5,7,6,1,8,4] => 1001101 => 2
[4,3,5,6,1,8,7,2] => 1001011 => 2
[5,3,4,1,7,6,8,2] => 1010101 => 3
[3,1,4,6,5,7,8,2] => 1001001 => 2
[1,4,7,3,5,6,8,2] => 0010001 => 1
[1,3,2,7,5,8,6,4] => 0101011 => 2
[1,4,2,5,8,3,7,6] => 0100101 => 2
[4,1,2,6,8,5,3,7] => 1000110 => 2
[1,5,2,4,8,7,6,3] => 0100111 => 1
[1,2,6,4,8,7,5,3] => 0010111 => 1
[1,2,7,4,8,6,5,3] => 0010111 => 1
[1,3,2,7,5,8,4,6] => 0101010 => 3
[1,3,2,8,5,7,4,6] => 0101010 => 3
[1,5,2,4,8,7,3,6] => 0100110 => 2
[1,2,6,4,8,7,3,5] => 0010110 => 2
[1,2,7,8,5,6,3,4] => 0001010 => 2
[1,3,8,2,6,7,4,5] => 0010010 => 2
[1,6,7,8,2,5,3,4] => 0001010 => 2
[1,5,7,8,2,3,6,4] => 0001001 => 1
[1,5,2,7,8,4,6,3] => 0100101 => 2
[1,3,6,2,4,8,7,5] => 0010011 => 1
[1,6,7,3,4,8,5,2] => 0010011 => 1
[1,5,3,7,4,8,6,2] => 0101011 => 2
[2,8,4,1,5,3,7,6] => 0110101 => 2
[3,8,4,1,5,7,2,6] => 0110010 => 2
[1,3,8,4,2,7,6,5] => 0011011 => 1
[1,2,8,4,7,3,6,5] => 0010101 => 2
[1,2,7,4,8,3,6,5] => 0010101 => 2
[1,2,6,4,8,3,7,5] => 0010101 => 2
[1,5,2,4,8,3,7,6] => 0100101 => 2
[1,8,3,5,2,7,4,6] => 0101010 => 3
[1,3,8,6,2,7,4,5] => 0011010 => 2
[1,4,8,6,7,2,3,5] => 0010100 => 2
[1,2,6,8,5,3,7,4] => 0001101 => 1
[1,2,7,8,6,3,5,4] => 0001101 => 1
[1,6,7,8,5,2,3,4] => 0001100 => 1
[1,5,7,8,6,2,3,4] => 0001100 => 1
[1,4,7,6,8,2,3,5] => 0010100 => 2
[1,3,7,6,2,8,4,5] => 0011010 => 2
[2,3,8,7,4,1,6,5] => 0011101 => 1
[1,2,5,8,7,6,3,4] => 0001110 => 1
[1,2,6,8,7,5,3,4] => 0001110 => 1
[1,2,7,8,6,5,3,4] => 0001110 => 1
[5,2,6,7,3,4,8,1] => 1001001 => 2
[5,2,4,7,6,3,8,1] => 1001101 => 2
[5,6,2,1,7,8,3,4] => 0110010 => 2
[5,6,2,1,4,8,7,3] => 0110011 => 1
[2,6,1,4,5,8,7,3] => 0100011 => 1
[5,4,2,7,6,3,8,1] => 1101101 => 2
[2,3,7,6,4,5,8,1] => 0011001 => 1
[2,6,1,7,5,8,3,4] => 0101010 => 3
[2,6,1,7,4,8,5,3] => 0101011 => 2
[5,1,2,7,8,4,3,6] => 1000110 => 2
[2,6,1,7,4,8,3,5] => 0101010 => 3
[3,6,4,1,7,8,2,5] => 0110010 => 2
[5,4,6,1,3,8,7,2] => 1010011 => 2
[3,6,4,1,5,8,7,2] => 0110011 => 1
[2,6,1,5,4,8,7,3] => 0101011 => 2
[2,6,1,4,7,8,5,3] => 0100011 => 1
[5,1,2,4,8,6,7,3] => 1000101 => 2
[5,1,2,4,8,7,3,6] => 1000110 => 2
[5,1,2,4,8,7,6,3] => 1000111 => 1
[1,2,3,8,5,4,7,6] => 0001101 => 1
[4,3,1,2,8,5,7,6] => 1100101 => 2
[2,1,5,3,8,6,4,7] => 1010110 => 3
[1,2,3,8,5,6,4,7] => 0001010 => 2
[1,2,3,8,6,4,5,7] => 0001100 => 1
[1,2,3,8,6,5,4,7] => 0001110 => 1
[1,2,3,8,5,4,6,7] => 0001100 => 1
[2,6,1,5,4,8,3,7] => 0101010 => 3
[5,1,2,4,8,6,3,7] => 1000110 => 2
[5,1,2,4,8,3,7,6] => 1000101 => 2
[5,6,3,1,4,8,2,7] => 0110010 => 2
[2,5,4,3,1,8,6,7] => 0111010 => 2
[5,4,6,3,1,8,7,2] => 1011011 => 2
[3,6,4,5,1,8,7,2] => 0101011 => 2
[3,6,5,4,1,8,7,2] => 0111011 => 1
[5,2,6,1,7,8,4,3] => 1010011 => 2
[5,1,6,2,8,7,3,4] => 1010110 => 3
[2,1,3,7,8,6,4,5] => 1000110 => 2
[2,1,3,7,8,5,6,4] => 1000101 => 2
[5,2,4,1,7,8,6,3] => 1010011 => 2
[4,3,1,2,8,6,7,5] => 1100101 => 2
[5,1,4,2,8,6,7,3] => 1010101 => 3
[2,1,3,6,8,5,7,4] => 1000101 => 2
[1,2,3,8,6,7,4,5] => 0001010 => 2
[1,2,3,8,7,5,4,6] => 0001110 => 1
[1,2,3,8,7,4,5,6] => 0001100 => 1
[1,2,3,8,5,7,4,6] => 0001010 => 2
[2,1,3,6,8,7,4,5] => 1000110 => 2
[5,4,1,2,8,7,6,3] => 1100111 => 1
[3,1,6,2,8,7,5,4] => 1010111 => 2
[1,2,3,4,5,9,6,7,8] => 00000100 => 1
[1,2,3,4,9,5,6,7,8] => 00001000 => 1
[1,2,3,9,4,5,6,7,8] => 00010000 => 1
[1,2,9,3,4,5,6,7,8] => 00100000 => 1
[1,2,3,4,5,6,7,10,8,9] => 000000010 => 1
[1,2,3,4,5,9,7,6,8] => 00000110 => 1
[1,2,3,4,5,6,10,7,8,9] => 000000100 => 1
[1,2,3,4,9,6,5,7,8] => 00001100 => 1
[1,2,3,4,5,10,6,7,8,9] => 000001000 => 1
[1,2,8,4,5,3,6,7] => 0010100 => 2
[1,2,3,9,5,4,6,7,8] => 00011000 => 1
[1,2,3,4,10,5,6,7,8,9] => 000010000 => 1
[1,8,3,4,2,5,6,7] => 0101000 => 2
[1,2,9,4,3,5,6,7,8] => 00110000 => 1
[1,2,3,10,4,5,6,7,8,9] => 000100000 => 1
[1,8,4,3,2,5,6,7] => 0111000 => 1
[1,9,3,2,4,5,6,7,8] => 01100000 => 1
[1,2,10,3,4,5,6,7,8,9] => 001000000 => 1
[8,4,7,6,5,3,2,1] => 1011111 => 1
[8,4,7,5,6,3,2,1] => 1010111 => 2
[8,5,7,4,6,3,2,1] => 1010111 => 2
[8,7,6,3,5,4,2,1] => 1110111 => 1
[8,6,7,3,5,4,2,1] => 1010111 => 2
[8,5,7,3,6,4,2,1] => 1010111 => 2
[8,1,7,4,6,5,3,2] => 1010111 => 2
[8,1,7,3,6,5,4,2] => 1010111 => 2
[8,2,7,3,6,5,4,1] => 1010111 => 2
[8,3,7,2,6,5,4,1] => 1010111 => 2
[8,5,7,2,6,4,3,1] => 1010111 => 2
[8,6,7,2,5,4,3,1] => 1010111 => 2
[8,7,6,2,5,4,3,1] => 1110111 => 1
[8,4,7,1,6,5,3,2] => 1010111 => 2
[8,3,7,1,6,5,4,2] => 1010111 => 2
[8,2,7,1,6,5,4,3] => 1010111 => 2
[8,1,7,2,6,5,4,3] => 1010111 => 2
[8,7,6,2,5,3,4,1] => 1110101 => 2
[8,1,7,6,5,3,4,2] => 1011101 => 2
[8,3,7,6,5,2,4,1] => 1011101 => 2
[8,4,7,6,5,2,3,1] => 1011101 => 2
[8,5,7,6,4,2,3,1] => 1011101 => 2
[8,6,7,5,4,1,3,2] => 1011101 => 2
[8,5,7,6,4,1,3,2] => 1011101 => 2
[8,3,7,6,5,1,4,2] => 1011101 => 2
[8,7,6,4,5,1,3,2] => 1110101 => 2
[8,7,6,2,5,1,4,3] => 1110101 => 2
[8,7,6,1,5,2,4,3] => 1110101 => 2
[6,8,1,3,2,5,4,7] => 0101010 => 3
[6,8,1,4,2,5,3,7] => 0101010 => 3
[7,8,3,6,1,4,2,5] => 0101010 => 3
[7,8,2,5,3,6,1,4] => 0101010 => 3
[7,8,2,5,1,4,3,6] => 0101010 => 3
[7,8,1,4,3,6,2,5] => 0101010 => 3
[5,8,1,4,3,7,2,6] => 0101010 => 3
[6,8,2,5,1,4,3,7] => 0101010 => 3
[6,8,2,5,3,7,1,4] => 0101010 => 3
[6,8,2,5,4,7,1,3] => 0101010 => 3
[2,5,4,7,6,8,1,3] => 0101010 => 3
[2,5,3,7,6,8,1,4] => 0101010 => 3
[2,5,1,4,3,7,6,8] => 0101010 => 3
[2,6,1,4,3,7,5,8] => 0101010 => 3
[2,6,5,8,1,4,3,7] => 0101010 => 3
[2,6,1,5,3,7,4,8] => 0101010 => 3
[2,6,3,7,4,8,1,5] => 0101010 => 3
[2,6,4,7,5,8,1,3] => 0101010 => 3
[5,8,3,6,4,7,1,2] => 0101010 => 3
[5,8,2,6,4,7,1,3] => 0101010 => 3
[4,8,2,6,3,7,1,5] => 0101010 => 3
[4,8,1,5,3,7,2,6] => 0101010 => 3
[4,8,1,5,2,6,3,7] => 0101010 => 3
[4,8,3,7,1,5,2,6] => 0101010 => 3
[6,8,3,7,1,4,2,5] => 0101010 => 3
[5,8,1,3,2,6,4,7] => 0101010 => 3
[5,8,4,7,1,3,2,6] => 0101010 => 3
[6,8,4,7,1,3,2,5] => 0101010 => 3
[6,8,5,7,1,3,2,4] => 0101010 => 3
[5,7,6,8,2,4,1,3] => 0101010 => 3
[4,7,6,8,1,3,2,5] => 0101010 => 3
[4,7,5,8,1,3,2,6] => 0101010 => 3
[4,7,1,3,2,6,5,8] => 0101010 => 3
[3,7,1,4,2,6,5,8] => 0101010 => 3
[3,7,5,8,1,4,2,6] => 0101010 => 3
[3,7,6,8,1,4,2,5] => 0101010 => 3
[3,7,6,8,2,5,1,4] => 0101010 => 3
[4,7,6,8,2,5,1,3] => 0101010 => 3
[4,7,5,8,3,6,1,2] => 0101010 => 3
[4,7,5,8,2,6,1,3] => 0101010 => 3
[3,7,5,8,2,6,1,4] => 0101010 => 3
[3,7,4,8,2,6,1,5] => 0101010 => 3
[3,7,4,8,1,5,2,6] => 0101010 => 3
[3,7,1,5,2,6,4,8] => 0101010 => 3
[3,7,2,6,1,5,4,8] => 0101010 => 3
[3,7,2,6,5,8,1,4] => 0101010 => 3
[4,7,3,6,5,8,1,2] => 0101010 => 3
[3,6,5,8,4,7,1,2] => 0101010 => 3
[2,6,5,8,4,7,1,3] => 0101010 => 3
[2,6,5,8,3,7,1,4] => 0101010 => 3
[2,6,3,7,1,5,4,8] => 0101010 => 3
[7,6,4,2,8,5,3,1] => 1110111 => 1
[7,6,4,3,8,2,5,1] => 1110101 => 2
[7,6,4,8,5,2,3,1] => 1101101 => 2
[6,8,4,3,7,2,1,5] => 0110110 => 2
[6,7,4,3,5,1,8,2] => 0110101 => 2
[6,7,3,5,4,8,2,1] => 0101011 => 2
[6,8,3,7,5,2,4,1] => 0101101 => 2
[7,6,8,3,5,2,4,1] => 1010101 => 3
[7,6,3,5,8,2,4,1] => 1100101 => 2
[7,6,3,5,2,4,8,1] => 1101001 => 2
[7,6,4,2,5,1,8,3] => 1110101 => 2
[7,6,2,8,4,1,5,3] => 1101101 => 2
[7,6,3,8,2,4,1,5] => 1101010 => 3
[7,6,3,4,8,2,5,1] => 1100101 => 2
[6,8,3,7,4,5,2,1] => 0101011 => 2
[6,7,3,5,8,4,2,1] => 0100111 => 1
[5,7,8,3,6,2,1,4] => 0010110 => 2
[5,8,3,6,7,2,1,4] => 0100110 => 2
[6,3,4,8,7,2,5,1] => 1001101 => 2
[6,3,8,4,7,2,1,5] => 1010110 => 3
[6,2,8,4,1,7,5,3] => 1011011 => 2
[6,2,7,4,1,5,3,8] => 1011010 => 3
[6,3,4,7,5,8,2,1] => 1001011 => 2
[6,3,5,7,8,4,2,1] => 1000111 => 1
[5,7,3,6,8,2,1,4] => 0100110 => 2
[5,6,8,3,7,2,1,4] => 0010110 => 2
[5,6,7,3,4,1,8,2] => 0010101 => 2
[4,6,7,8,3,5,2,1] => 0001011 => 1
[4,6,8,3,5,7,2,1] => 0010011 => 1
[4,7,3,5,6,8,2,1] => 0100011 => 1
[4,7,3,5,8,2,6,1] => 0100101 => 2
[5,3,4,7,8,2,1,6] => 1000110 => 2
[5,3,8,2,4,1,6,7] => 1010100 => 3
[5,3,4,8,2,6,1,7] => 1001010 => 3
[4,8,3,6,2,5,7,1] => 0101001 => 2
[4,8,3,5,7,2,6,1] => 0100101 => 2
[4,8,3,5,6,7,2,1] => 0100011 => 1
[4,7,8,3,5,6,2,1] => 0010011 => 1
[4,7,8,3,6,2,5,1] => 0010101 => 2
[4,8,3,6,7,2,5,1] => 0100101 => 2
[4,8,3,7,2,5,6,1] => 0101001 => 2
[5,3,4,8,2,7,6,1] => 1001011 => 2
[5,3,8,2,4,1,7,6] => 1010101 => 3
[5,2,8,4,1,7,3,6] => 1011010 => 3
[6,4,2,5,1,8,7,3] => 1101011 => 2
[6,4,3,5,8,2,1,7] => 1100110 => 2
[6,3,5,8,7,2,4,1] => 1001101 => 2
[5,8,3,7,2,6,4,1] => 0101011 => 2
[5,7,3,4,8,2,1,6] => 0100110 => 2
[5,8,4,2,3,1,6,7] => 0110100 => 2
[5,8,4,2,3,1,7,6] => 0110101 => 2
[6,4,5,3,8,2,1,7] => 1010110 => 3
[6,4,8,5,3,7,2,1] => 1011011 => 2
[6,4,3,8,5,7,2,1] => 1101011 => 2
[6,4,2,8,5,3,1,7] => 1101110 => 2
[6,4,2,7,3,1,8,5] => 1101101 => 2
[6,4,3,7,8,5,2,1] => 1100111 => 1
[6,4,5,3,7,1,8,2] => 1010101 => 3
[5,7,4,2,3,1,6,8] => 0110100 => 2
[5,6,3,7,1,8,2,4] => 0101010 => 3
[5,6,3,4,7,1,8,2] => 0100101 => 2
[5,6,3,4,8,2,1,7] => 0100110 => 2
[6,3,5,7,4,8,2,1] => 1001011 => 2
[6,3,5,4,7,8,2,1] => 1010011 => 2
[6,4,3,5,7,1,8,2] => 1100101 => 2
[6,4,2,5,1,7,3,8] => 1101010 => 3
[5,3,7,2,4,1,6,8] => 1010100 => 3
[5,3,4,7,2,6,1,8] => 1001010 => 3
[4,7,3,6,2,5,8,1] => 0101001 => 2
[4,7,3,6,8,2,5,1] => 0100101 => 2
[4,6,7,3,5,8,2,1] => 0010011 => 1
[4,5,7,8,3,6,2,1] => 0001011 => 1
[4,5,8,3,6,7,2,1] => 0010011 => 1
[4,5,8,3,7,2,6,1] => 0010101 => 2
[5,3,4,6,8,2,1,7] => 1000110 => 2
[5,3,6,8,2,1,4,7] => 1001100 => 2
[5,3,6,7,1,8,2,4] => 1001010 => 3
[5,3,4,6,7,1,8,2] => 1000101 => 2
[4,6,3,5,7,8,2,1] => 0100011 => 1
[4,5,7,3,6,8,2,1] => 0010011 => 1
[4,5,6,8,3,7,2,1] => 0001011 => 1
[5,7,4,8,6,3,2,1] => 0101111 => 1
[3,2,6,5,1,8,7,4] => 1011011 => 2
[3,5,6,7,2,8,4,1] => 0001011 => 1
[7,6,9,8,5,4,3,2,1] => 10111111 => 1
[6,5,4,9,8,7,3,2,1] => 11011111 => 1
[6,8,5,9,7,4,3,2,1] => 01011111 => 1
[6,7,8,9,5,4,3,2,1] => 00011111 => 0
[5,4,3,2,9,8,7,6,1] => 11101111 => 1
[5,8,4,3,9,7,6,2,1] => 01101111 => 1
[5,4,7,6,9,8,3,2,1] => 10101111 => 2
[5,7,8,4,9,6,3,2,1] => 00101111 => 1
[5,6,7,8,9,4,3,2,1] => 00001111 => 0
[4,8,3,2,1,9,7,6,5] => 01110111 => 1
[4,3,7,6,2,9,8,5,1] => 10110111 => 2
[4,7,8,3,2,9,6,5,1] => 00110111 => 1
[4,6,3,8,5,9,7,2,1] => 01010111 => 2
[4,6,7,8,3,9,5,2,1] => 00010111 => 1
[4,5,6,7,8,9,3,2,1] => 00000111 => 0
[3,2,1,6,5,4,9,8,7] => 11011011 => 2
[3,6,2,8,5,1,9,7,4] => 01011011 => 2
[3,6,7,8,2,1,9,5,4] => 00011011 => 1
[3,2,5,4,7,6,9,8,1] => 10101011 => 3
[3,5,7,2,8,4,9,6,1] => 00101011 => 2
[3,5,6,7,8,2,9,4,1] => 00001011 => 1
[3,4,5,6,7,8,9,2,1] => 00000011 => 0
[2,4,6,7,1,8,3,9,5] => 00010101 => 2
[2,4,5,6,7,8,1,9,3] => 00000101 => 1
[8,7,10,9,6,5,4,3,2,1] => 101111111 => 1
[8,9,10,7,6,5,4,3,2,1] => 001111111 => 0
[7,6,5,10,9,8,4,3,2,1] => 110111111 => 1
[7,9,6,10,8,5,4,3,2,1] => 010111111 => 1
[7,8,9,10,6,5,4,3,2,1] => 000111111 => 0
[6,5,4,3,10,9,8,7,2,1] => 111011111 => 1
[6,9,5,4,10,8,7,3,2,1] => 011011111 => 1
[6,5,8,7,10,9,4,3,2,1] => 101011111 => 2
[6,8,9,5,10,7,4,3,2,1] => 001011111 => 1
[5,4,3,2,1,10,9,8,7,6] => 111101111 => 1
[5,9,4,3,2,10,8,7,6,1] => 011101111 => 1
[5,4,8,7,3,10,9,6,2,1] => 101101111 => 2
[5,8,9,4,3,10,7,6,2,1] => 001101111 => 1
[5,7,4,9,6,10,8,3,2,1] => 010101111 => 2
[5,6,7,8,9,10,4,3,2,1] => 000001111 => 0
[4,3,8,7,2,1,10,9,6,5] => 101110111 => 2
[4,8,9,3,2,1,10,7,6,5] => 001110111 => 1
[4,3,2,7,6,5,10,9,8,1] => 110110111 => 2
[4,7,3,9,6,2,10,8,5,1] => 010110111 => 2
[4,7,8,9,3,2,10,6,5,1] => 000110111 => 1
[4,3,6,5,8,7,10,9,2,1] => 101010111 => 3
[4,6,7,8,9,3,10,5,2,1] => 000010111 => 1
[4,5,6,7,8,9,10,3,2,1] => 000000111 => 0
[3,6,2,1,9,5,4,10,8,7] => 011011011 => 2
[3,2,6,5,8,7,1,10,9,4] => 101011011 => 3
[3,6,8,2,9,5,1,10,7,4] => 001011011 => 2
[3,6,7,8,9,2,1,10,5,4] => 000011011 => 1
[3,5,7,8,2,9,4,10,6,1] => 000101011 => 2
[3,5,6,7,8,9,2,10,4,1] => 000001011 => 1
[3,4,5,6,7,8,9,10,2,1] => 000000011 => 0
[2,4,6,1,8,3,9,5,10,7] => 001010101 => 3
[2,4,6,7,8,1,9,3,10,5] => 000010101 => 2
[2,4,5,6,7,8,9,1,10,3] => 000000101 => 1
[1,6,2,5,3,4,8,7] => 0101001 => 2
[1,3,8,2,4,6,5,7] => 0010010 => 2
[1,7,2,3,6,4,8,5] => 0100101 => 2
[1,6,8,2,5,3,7,4] => 0010101 => 2
[1,8,2,5,3,4,7,6] => 0101001 => 2
[1,8,2,3,6,4,7,5] => 0100101 => 2
[1,3,5,2,8,4,7,6] => 0010101 => 2
[1,2,7,3,5,4,6,8] => 0010100 => 2
[1,8,2,7,3,4,6,5] => 0101001 => 2
[1,5,8,2,3,7,4,6] => 0010010 => 2
[1,6,8,2,3,5,4,7] => 0010010 => 2
[5,3,6,1,2,4,8,7] => 1010001 => 2
[7,1,5,8,4,2,3,6] => 1001100 => 2
[8,1,5,7,4,2,3,6] => 1001100 => 2
[7,1,4,5,8,2,3,6] => 1000100 => 2
[7,4,1,6,2,8,3,5] => 1101010 => 3
[8,4,1,7,2,6,3,5] => 1101010 => 3
[8,1,4,7,5,2,3,6] => 1001100 => 2
[8,1,5,4,7,2,3,6] => 1010100 => 3
[2,1,7,5,8,3,4,6] => 1010100 => 3
[7,1,5,4,8,2,3,6] => 1010100 => 3
[7,1,4,8,5,2,3,6] => 1001100 => 2
[6,4,1,7,2,3,8,5] => 1101001 => 2
[7,8,3,1,2,4,6,5] => 0110001 => 1
[8,7,1,6,4,2,3,5] => 1101100 => 2
[8,6,1,7,4,2,3,5] => 1101100 => 2
[7,6,1,8,4,2,3,5] => 1101100 => 2
[7,3,8,1,2,4,6,5] => 1010001 => 2
[8,3,7,1,2,4,6,5] => 1010001 => 2
[8,3,6,1,2,4,7,5] => 1010001 => 2
[8,3,7,5,1,2,4,6] => 1011000 => 2
[7,3,6,1,2,4,8,5] => 1010001 => 2
[6,7,1,8,4,2,3,5] => 0101100 => 2
[6,8,1,7,4,2,3,5] => 0101100 => 2
[7,1,8,5,4,2,3,6] => 1011100 => 2
[7,1,8,4,5,2,3,6] => 1010100 => 3
[2,1,7,8,5,3,4,6] => 1001100 => 2
[7,6,3,1,2,4,8,5] => 1110001 => 1
[6,1,2,3,8,7,5,4] => 1000111 => 1
[6,8,1,4,2,3,7,5] => 0101001 => 2
[6,8,3,1,2,7,4,5] => 0110010 => 2
[6,7,3,1,2,8,4,5] => 0110010 => 2
[6,7,1,4,2,3,8,5] => 0101001 => 2
[4,3,6,8,5,7,1,2] => 1001010 => 3
[6,1,2,5,4,8,3,7] => 1001010 => 3
[3,2,8,5,4,1,7,6] => 1011101 => 2
[7,8,2,1,4,6,3,5] => 0110010 => 2
[7,2,1,5,8,3,4,6] => 1100100 => 2
[2,4,8,5,1,3,6,7] => 0011000 => 1
[3,5,6,1,8,4,2,7] => 0010110 => 2
[1,3,6,8,7,4,2,5] => 0001110 => 1
[1,2,8,5,7,3,4,6] => 0010100 => 2
[2,6,1,5,8,3,4,7] => 0100100 => 2
[5,7,1,6,8,4,3,2] => 0100111 => 1
[4,8,1,2,5,7,3,6] => 0100010 => 2
[8,4,6,2,5,7,3,1] => 1010011 => 2
[8,3,6,4,7,2,5,1] => 1010101 => 3
[3,8,1,4,7,2,5,6] => 0100100 => 2
[1,7,8,4,6,2,5,3] => 0010101 => 2
[3,7,4,8,5,1,6,2] => 0101101 => 2
[3,7,1,6,5,4,8,2] => 0101101 => 2
[2,7,3,1,5,8,4,6] => 0110010 => 2
[2,7,4,6,8,1,3,5] => 0100100 => 2
[2,7,5,8,6,4,1,3] => 0101110 => 2
[8,2,6,7,5,4,3,1] => 1001111 => 1
[3,8,7,1,6,4,5,2] => 0110101 => 2
[3,6,8,2,7,4,1,5] => 0010110 => 2
[1,5,2,8,7,4,6,3] => 0101101 => 2
[3,4,2,7,8,1,6,5] => 0100101 => 2
[4,1,3,7,5,6,8,2] => 1001001 => 2
[6,3,8,1,7,4,2,5] => 1010110 => 3
[6,5,8,7,1,4,2,3] => 1011010 => 3
[4,1,7,3,8,5,2,6] => 1010110 => 3
[3,6,1,4,5,8,2,7] => 0100010 => 2
[1,6,7,4,5,3,8,2] => 0010101 => 2
[6,1,7,3,5,4,8,2] => 1010101 => 3
[6,3,1,2,5,8,4,7] => 1100010 => 2
[1,4,7,2,8,5,3,6] => 0010110 => 2
[5,6,8,7,2,4,1,3] => 0011010 => 2
[6,8,5,7,1,2,4,3] => 0101001 => 2
[2,8,4,1,7,5,6,3] => 0110101 => 2
[8,2,4,3,7,5,6,1] => 1010101 => 3
[6,8,2,1,5,7,3,4] => 0110010 => 2
[7,2,8,4,1,6,3,5] => 1011010 => 3
[1,2,4,8,6,5,3,7] => 0001110 => 1
[7,1,5,6,8,4,3,2] => 1000111 => 1
[2,7,8,1,4,6,3,5] => 0010010 => 2
[4,8,2,5,7,1,6,3] => 0100101 => 2
[4,1,6,8,5,3,7,2] => 1001101 => 2
[5,2,6,4,8,3,1,7] => 1010110 => 3
[6,7,1,3,4,5,8,2] => 0100001 => 1
[1,7,3,2,4,8,5,6] => 0110010 => 2
[1,3,6,5,2,8,4,7] => 0011010 => 2
[7,1,6,5,3,4,8,2] => 1011001 => 2
[6,3,4,2,8,7,5,1] => 1010111 => 2
[4,3,8,7,5,2,6,1] => 1011101 => 2
[6,8,7,4,2,3,5,1] => 0111001 => 1
[3,6,4,5,2,8,7,1] => 0101011 => 2
[8,6,1,3,5,4,2,7] => 1100110 => 2
[5,3,8,6,1,2,4,7] => 1011000 => 2
[2,5,6,3,4,8,7,1] => 0010011 => 1
[2,5,3,6,8,7,4,1] => 0100111 => 1
[4,8,7,3,5,2,6,1] => 0110101 => 2
[3,8,7,2,6,4,5,1] => 0110101 => 2
[6,3,5,4,8,7,2,1] => 1010111 => 2
[4,3,8,6,1,5,2,7] => 1011010 => 3
[4,7,6,2,5,3,8,1] => 0110101 => 2
[7,5,2,6,8,1,4,3] => 1100101 => 2
[8,5,2,7,1,4,3,6] => 1101010 => 3
[1,8,5,3,6,2,4,7] => 0110100 => 2
[5,1,7,2,4,3,8,6] => 1010101 => 3
[1,5,3,4,8,6,2,7] => 0100110 => 2
[5,4,1,3,8,6,2,7] => 1100110 => 2
[5,1,8,6,3,4,2,7] => 1011010 => 3
[4,5,2,8,3,7,6,1] => 0101011 => 2
[8,2,3,7,6,4,5,1] => 1001101 => 2
[5,8,2,4,7,6,3,1] => 0100111 => 1
[6,8,2,5,3,4,7,1] => 0101001 => 2
[7,2,5,6,4,8,1,3] => 1001010 => 3
[1,6,7,4,8,2,3,5] => 0010100 => 2
[7,1,3,5,8,2,6,4] => 1000101 => 2
[8,2,1,3,5,6,7,4] => 1100001 => 1
[6,3,1,4,7,5,8,2] => 1100101 => 2
[4,1,3,8,2,6,7,5] => 1001001 => 2
[2,8,3,6,7,5,4,1] => 0100111 => 1
[3,1,7,2,8,5,4,6] => 1010110 => 3
[3,6,1,4,7,2,8,5] => 0100101 => 2
[1,5,8,4,7,2,3,6] => 0010100 => 2
[7,1,3,6,2,8,4,5] => 1001010 => 3
[6,2,7,4,5,8,1,3] => 1010010 => 3
[2,1,8,4,5,7,3,6] => 1010010 => 3
[1,8,5,7,3,2,4,6] => 0101100 => 2
[2,1,8,5,4,3,6,7] => 1011100 => 2
[2,7,4,1,5,3,8,6] => 0110101 => 2
[7,4,8,6,2,3,1,5] => 1011010 => 3
[2,7,1,4,6,3,8,5] => 0100101 => 2
[4,7,5,6,8,1,3,2] => 0100101 => 2
[7,1,3,2,8,5,4,6] => 1010110 => 3
[2,8,5,4,1,3,6,7] => 0111000 => 1
[5,1,7,4,2,3,8,6] => 1011001 => 2
[3,8,6,5,1,4,2,7] => 0111010 => 2
[1,3,4,8,6,5,2,7] => 0001110 => 1
[4,1,8,6,5,3,2,7] => 1011110 => 2
[4,8,5,2,7,3,6,1] => 0110101 => 2
[7,2,8,5,3,6,4,1] => 1011011 => 2
[5,2,8,4,3,7,6,1] => 1011011 => 2
[8,4,7,5,2,3,6,1] => 1011001 => 2
[7,5,2,8,4,6,1,3] => 1101010 => 3
[5,7,4,3,6,2,8,1] => 0110101 => 2
[6,7,5,1,2,8,3,4] => 0110010 => 2
[5,2,6,8,3,4,7,1] => 1001001 => 2
[7,6,2,4,5,8,3,1] => 1100011 => 1
[3,6,8,4,7,2,5,1] => 0010101 => 2
[7,6,3,8,4,2,5,1] => 1101101 => 2
[2,6,3,8,4,7,5,1] => 0101011 => 2
[7,2,3,6,5,8,4,1] => 1001011 => 2
[6,2,7,5,8,3,1,4] => 1010110 => 3
[2,8,3,6,4,5,7,1] => 0101001 => 2
[2,1,5,6,8,3,7,4] => 1000101 => 2
[5,8,1,2,6,4,7,3] => 0100101 => 2
[1,6,8,3,2,7,4,5] => 0011010 => 2
[6,5,7,2,8,4,1,3] => 1010110 => 3
[7,5,1,2,8,4,6,3] => 1100101 => 2
[5,4,8,3,6,2,7,1] => 1010101 => 3
[5,8,2,7,4,3,6,1] => 0101101 => 2
[6,4,5,8,2,7,3,1] => 1001011 => 2
[5,7,3,6,4,8,2,1] => 0101011 => 2
[1,5,6,4,8,2,7,3] => 0010101 => 2
[3,1,5,6,4,8,7,2] => 1001011 => 2
[1,3,6,2,5,7,8,4] => 0010001 => 1
[1,4,6,3,5,7,8,2] => 0010001 => 1
[3,5,1,6,4,7,8,2] => 0101001 => 2
[3,6,1,4,2,7,8,5] => 0101001 => 2
[2,4,6,3,1,7,8,5] => 0011001 => 1
[1,3,6,5,2,7,8,4] => 0011001 => 1
[1,2,6,4,3,8,5,7] => 0011010 => 2
[1,2,6,3,5,8,7,4] => 0010011 => 1
[2,3,5,1,8,4,7,6] => 0010101 => 2
[2,3,6,1,8,5,4,7] => 0010110 => 2
[1,2,7,4,6,8,3,5] => 0010010 => 2
[2,3,7,5,1,8,4,6] => 0011010 => 2
[4,7,2,5,3,8,6,1] => 0101011 => 2
[3,1,7,5,4,8,6,2] => 1011011 => 2
[1,2,7,6,4,8,5,3] => 0011011 => 1
[1,2,7,3,6,8,5,4] => 0010011 => 1
[2,3,6,1,8,5,7,4] => 0010101 => 2
[3,1,5,4,8,7,6,2] => 1010111 => 2
[1,2,5,8,4,7,3,6] => 0001010 => 2
[1,2,6,8,5,4,7,3] => 0001101 => 1
[1,3,6,8,5,2,7,4] => 0001101 => 1
[3,5,7,4,8,2,1,6] => 0010110 => 2
[2,4,7,6,8,3,1,5] => 0010110 => 2
[1,4,6,8,3,5,2,7] => 0001010 => 2
[1,3,6,8,5,2,4,7] => 0001100 => 1
[1,2,6,8,5,4,3,7] => 0001110 => 1
[1,2,5,8,4,3,7,6] => 0001101 => 1
[1,3,5,8,2,4,7,6] => 0001001 => 1
[1,3,6,8,2,5,4,7] => 0001010 => 2
[1,4,6,8,3,2,5,7] => 0001100 => 1
[3,5,7,4,8,1,2,6] => 0010100 => 2
[4,6,1,7,5,8,2,3] => 0101010 => 3
[2,3,6,7,5,8,1,4] => 0001010 => 2
[1,3,7,5,6,8,2,4] => 0010010 => 2
[2,3,6,5,8,1,7,4] => 0010101 => 2
[3,4,6,2,8,1,7,5] => 0010101 => 2
[3,5,4,6,8,2,1,7] => 0100110 => 2
[3,5,4,6,8,1,2,7] => 0100100 => 2
[1,2,4,7,5,8,3,6] => 0001010 => 2
[1,2,6,7,4,8,3,5] => 0001010 => 2
[3,6,4,7,1,8,5,2] => 0101011 => 2
[1,2,6,7,3,8,5,4] => 0001011 => 1
[1,2,5,7,3,8,6,4] => 0001011 => 1
[3,1,5,7,6,8,4,2] => 1001011 => 2
[3,5,4,6,8,2,7,1] => 0100101 => 2
[4,2,6,1,8,7,5,3] => 1010111 => 2
[3,1,6,5,8,7,4,2] => 1010111 => 2
[2,3,6,5,8,7,1,4] => 0010110 => 2
[1,2,7,4,6,8,5,3] => 0010011 => 1
[1,2,7,5,6,8,4,3] => 0010011 => 1
[3,1,6,7,5,8,4,2] => 1001011 => 2
[4,6,2,7,5,8,3,1] => 0101011 => 2
[3,5,7,4,8,2,6,1] => 0010101 => 2
[2,4,7,6,8,3,5,1] => 0010101 => 2
[1,4,6,8,3,5,7,2] => 0001001 => 1
[1,3,6,8,2,5,7,4] => 0001001 => 1
[1,3,5,8,2,7,4,6] => 0001010 => 2
[1,2,5,8,4,7,6,3] => 0001011 => 1
[1,2,4,8,7,3,6,5] => 0001101 => 1
[1,2,5,8,7,4,3,6] => 0001110 => 1
[1,3,5,8,7,2,4,6] => 0001100 => 1
[2,3,7,6,8,5,1,4] => 0010110 => 2
[5,7,1,2,8,6,4,3] => 0100111 => 1
[3,1,7,6,8,5,4,2] => 1010111 => 2
[1,2,6,8,5,7,4,3] => 0001011 => 1
[1,2,5,8,7,4,6,3] => 0001101 => 1
[1,2,4,8,7,6,3,5] => 0001110 => 1
[6,4,5,7,2,8,1,3] => 1001010 => 3
[5,3,4,7,2,8,1,6] => 1001010 => 3
[3,2,7,4,6,8,1,5] => 1010010 => 3
[5,3,6,2,7,1,4,8] => 1010100 => 3
[2,6,3,4,7,1,5,8] => 0100100 => 2
[2,7,3,4,5,8,1,6] => 0100010 => 2
[3,7,4,5,6,8,1,2] => 0100010 => 2
[2,5,7,3,6,8,1,4] => 0010010 => 2
[4,7,6,2,3,8,1,5] => 0110010 => 2
[7,3,5,2,4,8,1,6] => 1010010 => 3
[7,6,2,4,5,8,1,3] => 1100010 => 2
[6,5,2,3,4,8,1,7] => 1100010 => 2
[5,3,1,2,8,4,7,6] => 1100101 => 2
[6,5,2,3,7,1,4,8] => 1100100 => 2
[5,2,1,7,3,4,6,8] => 1101000 => 2
[5,2,1,8,3,4,6,7] => 1101000 => 2
[6,3,2,8,4,5,7,1] => 1101001 => 2
[7,3,1,2,8,4,6,5] => 1100101 => 2
[6,4,1,3,8,5,7,2] => 1100101 => 2
[6,2,3,1,8,4,7,5] => 1010101 => 3
[8,3,5,2,7,1,4,6] => 1010100 => 3
[8,6,2,4,7,1,5,3] => 1100101 => 2
[8,5,2,3,6,1,4,7] => 1100100 => 2
[8,2,1,7,3,4,5,6] => 1101000 => 2
[8,6,3,7,2,4,5,1] => 1101001 => 2
[7,1,6,2,3,4,5,8] => 1010000 => 2
[8,2,7,3,4,5,6,1] => 1010001 => 2
[8,1,6,2,3,4,5,7] => 1010000 => 2
[8,1,7,3,4,5,6,2] => 1010001 => 2
[8,6,1,7,2,4,5,3] => 1101001 => 2
[8,1,5,7,2,3,6,4] => 1001001 => 2
[1,7,5,8,2,3,6,4] => 0101001 => 2
[7,2,1,8,3,4,5,6] => 1101000 => 2
[7,3,8,2,4,5,6,1] => 1010001 => 2
[7,2,8,3,4,5,6,1] => 1010001 => 2
[1,7,8,3,4,5,6,2] => 0010001 => 1
[1,4,5,8,3,6,7,2] => 0001001 => 1
[2,5,7,1,8,3,6,4] => 0010101 => 2
[6,2,7,1,8,4,5,3] => 1010101 => 3
[4,7,1,3,8,5,6,2] => 0100101 => 2
[1,6,2,8,4,5,7,3] => 0101001 => 2
[4,1,3,6,8,2,7,5] => 1000101 => 2
[5,3,4,6,8,2,7,1] => 1000101 => 2
[4,6,3,8,7,1,2,5] => 0101100 => 2
[6,4,5,8,7,1,2,3] => 1001100 => 2
[5,3,4,8,7,1,2,6] => 1001100 => 2
[3,2,8,7,1,4,6,5] => 1011001 => 2
[3,1,8,7,2,4,6,5] => 1011001 => 2
[5,3,7,6,1,2,4,8] => 1011000 => 2
[1,8,3,7,2,4,5,6] => 0101000 => 2
[3,8,1,7,2,4,5,6] => 0101000 => 2
[6,8,2,3,5,1,4,7] => 0100100 => 2
[4,7,8,2,6,1,3,5] => 0010100 => 2
[6,2,8,7,1,4,5,3] => 1011001 => 2
[3,8,7,1,4,5,6,2] => 0110001 => 1
[2,8,6,1,3,4,5,7] => 0110000 => 1
[2,7,6,1,3,4,5,8] => 0110000 => 1
[1,7,6,2,3,4,5,8] => 0110000 => 1
[1,8,6,2,3,4,5,7] => 0110000 => 1
[2,8,7,3,4,5,6,1] => 0110001 => 1
[3,8,7,2,4,5,6,1] => 0110001 => 1
[7,8,3,6,2,4,5,1] => 0101001 => 2
[1,5,8,7,2,3,6,4] => 0011001 => 1
[8,7,6,1,3,4,5,2] => 1110001 => 1
[3,6,2,4,7,1,8,5] => 0100101 => 2
[3,4,7,2,5,1,8,6] => 0010101 => 2
[2,1,6,4,8,5,3,7] => 1010110 => 3
[4,1,8,5,3,2,7,6] => 1011101 => 2
[3,6,2,5,7,1,4,8] => 0100100 => 2
[1,2,8,3,7,5,4,6] => 0010110 => 2
[6,1,3,2,8,5,4,7] => 1010110 => 3
[5,6,1,2,8,4,3,7] => 0100110 => 2
[1,6,3,8,7,4,2,5] => 0101110 => 2
[4,3,8,1,2,6,7,5] => 1010001 => 2
[7,8,10,9,5,6,3,4,1,2] => 001101010 => 3
[9,10,5,6,8,7,3,4,1,2] => 010011010 => 3
[5,8,10,6,9,7,3,4,1,2] => 001011010 => 3
[5,6,7,10,9,8,3,4,1,2] => 000111010 => 2
[9,10,7,8,3,4,6,5,1,2] => 010100110 => 3
[7,8,10,9,3,4,6,5,1,2] => 001100110 => 2
[9,10,3,6,8,4,7,5,1,2] => 010010110 => 3
[3,8,10,6,9,4,7,5,1,2] => 001010110 => 3
[3,6,7,10,9,4,8,5,1,2] => 000110110 => 2
[9,10,3,4,5,8,7,6,1,2] => 010001110 => 2
[3,8,10,4,5,9,7,6,1,2] => 001001110 => 2
[3,4,7,10,5,9,8,6,1,2] => 000101110 => 2
[3,4,5,6,10,9,8,7,1,2] => 000011110 => 1
[9,10,7,8,5,6,1,2,4,3] => 010101001 => 3
[7,8,10,9,5,6,1,2,4,3] => 001101001 => 2
[9,10,5,6,8,7,1,2,4,3] => 010011001 => 2
[5,8,10,6,9,7,1,2,4,3] => 001011001 => 2
[5,6,7,10,9,8,1,2,4,3] => 000111001 => 1
[9,10,7,8,1,4,6,2,5,3] => 010100101 => 3
[7,8,10,9,1,4,6,2,5,3] => 001100101 => 2
[9,10,1,6,8,4,7,2,5,3] => 010010101 => 3
[1,8,10,6,9,4,7,2,5,3] => 001010101 => 3
[1,6,7,10,9,4,8,2,5,3] => 000110101 => 2
[9,10,1,4,5,8,7,2,6,3] => 010001101 => 2
[1,8,10,4,5,9,7,2,6,3] => 001001101 => 2
[1,4,7,10,5,9,8,2,6,3] => 000101101 => 2
[1,4,5,6,10,9,8,2,7,3] => 000011101 => 1
[9,10,7,8,1,2,3,6,5,4] => 010100011 => 2
[7,8,10,9,1,2,3,6,5,4] => 001100011 => 1
[9,10,1,6,8,2,3,7,5,4] => 010010011 => 2
[1,8,10,6,9,2,3,7,5,4] => 001010011 => 2
[1,6,7,10,9,2,3,8,5,4] => 000110011 => 1
[9,10,1,2,5,8,3,7,6,4] => 010001011 => 2
[1,8,10,2,5,9,3,7,6,4] => 001001011 => 2
[1,2,7,10,5,9,3,8,6,4] => 000101011 => 2
[1,2,5,6,10,9,3,8,7,4] => 000011011 => 1
[9,10,1,2,3,4,8,7,6,5] => 010000111 => 1
[1,8,10,2,3,4,9,7,6,5] => 001000111 => 1
[1,2,7,10,3,4,9,8,6,5] => 000100111 => 1
[1,2,3,6,10,4,9,8,7,5] => 000010111 => 1
[1,2,3,4,5,10,9,8,7,6] => 000001111 => 0
[11,12,9,10,7,8,5,6,3,4,1,2] => 01010101010 => 5
[11,12,9,10,7,8,5,6,1,2,4,3] => 01010101001 => 4
[11,12,9,10,7,8,1,4,6,2,5,3] => 01010100101 => 4
[11,12,9,10,1,6,8,4,7,2,5,3] => 01010010101 => 4
[11,12,1,8,10,6,9,4,7,2,5,3] => 01001010101 => 4
[1,4,5,6,7,12,11,10,9,2,8,3] => 00000111101 => 1
[11,12,1,2,3,4,5,10,9,8,7,6] => 01000001111 => 1
[3,1,2,4,5,6,7,8,9] => 10000000 => 1
[2,4,1,3,5,6,7,8,9] => 01000000 => 1
[2,3,5,1,4,6,7,8,9] => 00100000 => 1
[2,3,4,6,1,5,7,8,9] => 00010000 => 1
[2,3,4,5,7,1,6,8,9] => 00001000 => 1
[2,3,4,5,6,8,1,7,9] => 00000100 => 1
[3,6,8,7,1,2,5,4] => 0011001 => 1
[6,2,8,5,4,7,1,3] => 1011010 => 3
[6,5,7,2,4,8,1,3] => 1010010 => 3
[3,4,1,6,5,8,7,2] => 0101011 => 2
[3,5,1,2,4,8,7,6] => 0100011 => 1
[3,7,5,2,1,4,6,8] => 0111000 => 1
[3,8,5,2,7,4,1,6] => 0110110 => 2
[5,2,8,4,7,3,1,6] => 1010110 => 3
[5,2,7,4,1,3,6,8] => 1011000 => 2
[4,3,5,1,2,8,7,6] => 1010011 => 2
[3,1,4,6,2,8,7,5] => 1001011 => 2
[1,4,6,5,2,8,7,3] => 0011011 => 1
[3,4,5,6,1,8,7,2] => 0001011 => 1
[3,4,5,8,7,2,1,6] => 0001110 => 1
[1,4,7,2,6,3,5,8] => 0010100 => 2
[8,4,7,5,2,1,6,3] => 1011101 => 2
[8,1,4,7,2,3,6,5] => 1001001 => 2
[1,8,5,7,3,4,6,2] => 0101001 => 2
[6,3,5,1,7,4,2,8] => 1010110 => 3
[6,1,4,8,7,3,2,5] => 1001110 => 2
[6,4,8,5,7,1,2,3] => 1010100 => 3
[5,4,8,1,6,3,2,7] => 1010110 => 3
[1,4,8,6,3,7,2,5] => 0011010 => 2
[5,4,7,6,3,8,1,2] => 1011010 => 3
[4,6,3,7,5,8,1,2] => 0101010 => 3
[4,1,3,5,8,6,2,7] => 1000110 => 2
[5,7,4,3,8,1,2,6] => 0110100 => 2
[1,4,8,3,7,6,5,2] => 0010111 => 1
[4,3,8,2,1,6,5,7] => 1011010 => 3
[3,8,4,2,7,1,5,6] => 0110100 => 2
[3,1,2,5,7,6,4,8] => 1000110 => 2
[1,8,2,7,6,5,4,3] => 0101111 => 1
[3,8,1,6,7,5,4,2] => 0100111 => 1
[3,7,2,6,8,5,1,4] => 0100110 => 2
[7,2,3,8,5,6,1,4] => 1001010 => 3
[8,2,1,7,5,6,4,3] => 1101011 => 2
[8,1,3,6,5,7,4,2] => 1001011 => 2
[8,2,4,3,6,1,5,7] => 1010100 => 3
[1,7,8,5,4,3,6,2] => 0011101 => 1
[1,8,4,5,3,2,6,7] => 0101100 => 2
[7,8,5,4,3,1,6,2] => 0111101 => 1
[7,1,6,3,4,2,5,8] => 1010100 => 3
[6,8,7,1,4,2,5,3] => 0110101 => 2
[3,6,1,4,2,7,5,8] => 0101010 => 3
[3,4,1,8,5,7,6,2] => 0101011 => 2
[3,6,5,1,2,8,4,7] => 0110010 => 2
[3,8,5,6,7,2,1,4] => 0100110 => 2
[8,1,7,6,2,4,3,5] => 1011010 => 3
[8,5,6,1,4,2,3,7] => 1010100 => 3
[8,6,5,4,7,1,3,2] => 1110101 => 2
[1,6,4,5,7,2,3,8] => 0100100 => 2
[8,3,6,1,7,2,4,5] => 1010100 => 3
[1,8,6,5,7,3,4,2] => 0110101 => 2
[1,7,5,3,6,8,4,2] => 0110011 => 1
[7,4,1,6,5,8,3,2] => 1101011 => 2
[4,1,5,8,7,6,3,2] => 1001111 => 1
[1,2,5,8,6,7,3,4] => 0001010 => 2
[4,2,1,5,8,7,3,6] => 1100110 => 2
[5,2,4,6,1,7,3,8] => 1001010 => 3
[1,5,3,6,8,7,4,2] => 0100111 => 1
[3,5,4,6,1,8,2,7] => 0101010 => 3
[3,1,5,7,6,8,2,4] => 1001010 => 3
[1,4,5,6,8,7,2,3] => 0000110 => 1
[1,4,6,3,7,2,8,5] => 0010101 => 2
[1,7,3,6,5,2,8,4] => 0101101 => 2
[8,6,2,5,4,1,7,3] => 1101101 => 2
[3,7,2,6,5,4,1,8] => 0101110 => 2
[7,6,2,5,4,3,1,8] => 1101110 => 2
[4,7,5,2,6,3,1,8] => 0110110 => 2
[3,2,6,4,7,5,1,8] => 1010110 => 3
[6,2,3,7,5,4,1,8] => 1001110 => 2
[1,3,4,7,6,2,8,5] => 0001101 => 1
[2,8,3,6,1,7,5,4] => 0101011 => 2
[8,7,2,5,1,6,4,3] => 1101011 => 2
[3,8,2,6,5,1,7,4] => 0101101 => 2
[7,8,2,5,4,1,6,3] => 0101101 => 2
[4,8,5,2,6,1,7,3] => 0110101 => 2
[4,5,1,3,7,2,8,6] => 0100101 => 2
[6,1,3,7,5,2,8,4] => 1001101 => 2
[7,1,3,6,2,8,5,4] => 1001011 => 2
[8,1,3,6,2,7,5,4] => 1001011 => 2
[1,2,4,7,3,8,6,5] => 0001011 => 1
[7,1,8,2,6,5,4,3] => 1010111 => 2
[3,1,8,6,2,7,5,4] => 1011011 => 2
[4,1,7,8,2,6,5,3] => 1001011 => 2
[5,6,1,8,2,7,4,3] => 0101011 => 2
[4,2,7,8,1,6,5,3] => 1001011 => 2
[3,2,8,6,1,7,5,4] => 1011011 => 2
[7,2,8,1,6,5,4,3] => 1010111 => 2
[1,8,7,2,6,5,4,3] => 0110111 => 1
[2,8,7,1,6,5,4,3] => 0110111 => 1
[3,8,7,1,6,5,4,2] => 0110111 => 1
[4,8,7,5,1,6,3,2] => 0111011 => 1
[6,7,8,5,1,4,3,2] => 0011011 => 1
[5,6,3,8,4,1,7,2] => 0101101 => 2
[7,3,8,5,4,1,6,2] => 1011101 => 2
[3,4,8,6,5,1,7,2] => 0011101 => 1
[8,3,7,5,1,6,4,2] => 1011011 => 2
[1,4,8,6,2,7,5,3] => 0011011 => 1
[8,4,6,7,1,5,3,2] => 1001011 => 2
[5,6,4,7,8,1,3,2] => 0100101 => 2
[3,4,6,5,1,2,8,7] => 0011001 => 1
[7,3,5,1,2,8,6,4] => 1010011 => 2
[1,4,6,2,3,8,7,5] => 0010011 => 1
[1,3,2,7,4,8,6,5] => 0101011 => 2
[7,2,1,6,3,8,5,4] => 1101011 => 2
[2,3,1,7,6,4,8,5] => 0101101 => 2
[4,5,2,1,7,3,8,6] => 0110101 => 2
[5,6,7,1,2,8,4,3] => 0010011 => 1
[4,7,5,1,2,8,6,3] => 0110011 => 1
[3,7,1,6,2,8,5,4] => 0101011 => 2
[7,6,1,2,8,5,4,3] => 1100111 => 1
[2,7,1,3,8,6,5,4] => 0100111 => 1
[8,6,1,2,7,5,4,3] => 1100111 => 1
[1,7,2,3,8,6,5,4] => 0100111 => 1
[8,7,1,2,6,5,4,3] => 1100111 => 1
[7,8,1,2,6,5,4,3] => 0100111 => 1
[3,8,1,6,2,7,5,4] => 0101011 => 2
[4,8,5,1,2,7,6,3] => 0110011 => 1
[5,6,8,1,2,7,4,3] => 0010011 => 1
[2,1,3,7,4,8,6,5] => 1001011 => 2
[4,2,7,3,6,8,1,5] => 1010010 => 3
[5,3,6,4,2,8,1,7] => 1011010 => 3
[4,1,5,3,8,2,7,6] => 1010101 => 3
[5,2,6,4,7,3,1,8] => 1010110 => 3
[2,6,3,4,7,5,1,8] => 0100110 => 2
[2,6,3,5,4,8,1,7] => 0101010 => 3
[2,7,4,3,5,8,1,6] => 0110010 => 2
[7,3,6,4,2,8,1,5] => 1011010 => 3
[7,6,4,5,2,8,1,3] => 1101010 => 3
[5,4,3,1,8,2,7,6] => 1110101 => 2
[6,5,4,2,7,3,1,8] => 1110110 => 2
[5,4,1,7,2,6,3,8] => 1101010 => 3
[5,4,1,8,3,2,6,7] => 1101100 => 2
[6,5,2,8,3,4,7,1] => 1101001 => 2
[7,4,2,1,8,3,6,5] => 1110101 => 2
[6,5,3,4,8,2,7,1] => 1100101 => 2
[6,1,5,3,8,2,7,4] => 1010101 => 3
[4,6,3,1,8,2,7,5] => 0110101 => 2
[5,8,4,2,7,3,1,6] => 0110110 => 2
[8,2,6,4,7,3,1,5] => 1010110 => 3
[8,6,2,5,7,4,1,3] => 1100110 => 2
[8,5,3,2,6,4,1,7] => 1110110 => 2
[8,3,1,7,2,5,4,6] => 1101010 => 3
[7,5,2,6,4,3,1,8] => 1101110 => 2
[7,1,6,2,5,4,3,8] => 1010110 => 3
[8,1,7,3,5,6,4,2] => 1010011 => 2
[8,6,1,7,4,5,2,3] => 1101010 => 3
[8,1,3,7,2,6,5,4] => 1001011 => 2
[1,7,6,8,3,2,4,5] => 0101100 => 2
[7,1,5,8,4,2,6,3] => 1001101 => 2
[7,3,8,4,5,2,6,1] => 1010101 => 3
[7,2,8,5,3,4,6,1] => 1011001 => 2
[6,1,8,4,3,2,5,7] => 1011100 => 2
[6,1,7,4,2,5,3,8] => 1011010 => 3
[1,2,7,3,4,6,5,8] => 0010010 => 2
[1,7,8,4,3,5,6,2] => 0011001 => 1
[1,6,2,8,3,5,7,4] => 0101001 => 2
[2,6,1,7,3,5,4,8] => 0101010 => 3
[3,1,5,8,4,2,6,7] => 1001100 => 2
[4,3,1,6,8,2,7,5] => 1100101 => 2
[5,7,4,8,3,2,1,6] => 0101110 => 2
[5,4,8,2,7,3,1,6] => 1010110 => 3
[5,2,8,7,3,4,1,6] => 1011010 => 3
[6,4,7,5,3,2,1,8] => 1011110 => 2
[1,8,3,7,6,2,4,5] => 0101100 => 2
[5,8,3,2,6,4,1,7] => 0110110 => 2
[6,8,2,4,7,5,1,3] => 0100110 => 2
[7,3,8,2,6,4,1,5] => 1010110 => 3
[4,6,8,2,7,3,1,5] => 0010110 => 2
[2,6,8,7,3,4,1,5] => 0011010 => 2
[7,2,8,6,3,5,1,4] => 1011010 => 3
[6,8,1,7,2,5,4,3] => 0101011 => 2
[3,8,7,4,5,6,1,2] => 0110010 => 2
[2,8,6,4,3,5,1,7] => 0111010 => 2
[2,7,6,3,5,4,1,8] => 0110110 => 2
[1,7,6,5,2,4,3,8] => 0111010 => 2
[1,8,6,5,3,2,4,7] => 0111100 => 1
[3,8,7,4,6,2,5,1] => 0110101 => 2
[5,8,3,7,6,2,4,1] => 0101101 => 2
[7,1,8,6,5,2,3,4] => 1011100 => 2
[8,4,7,5,3,2,1,6] => 1011110 => 2
[8,7,2,5,4,3,1,6] => 1101110 => 2
[6,8,3,2,5,4,7,1] => 0110101 => 2
[6,8,4,5,2,3,7,1] => 0101001 => 2
[1,5,7,8,4,3,6,2] => 0001101 => 1
[6,3,8,1,5,4,7,2] => 1010101 => 3
[6,2,1,8,5,4,7,3] => 1101101 => 2
[2,6,3,1,7,5,4,8] => 0110110 => 2
[2,6,5,7,4,1,3,8] => 0101100 => 2
[2,5,6,8,4,3,7,1] => 0001101 => 1
[2,4,7,5,8,1,6,3] => 0010101 => 2
[2,5,4,7,1,8,6,3] => 0101011 => 2
[5,2,1,8,7,6,4,3] => 1101111 => 1
[4,8,5,7,6,1,3,2] => 0101101 => 2
[4,8,6,7,5,3,1,2] => 0101110 => 2
[4,8,7,5,6,2,3,1] => 0110101 => 2
[6,5,4,8,2,1,7,3] => 1101101 => 2
[5,8,4,7,2,6,3,1] => 0101011 => 2
[1,5,7,4,8,2,6,3] => 0010101 => 2
[1,5,7,3,2,8,6,4] => 0011011 => 1
[5,8,3,2,7,6,4,1] => 0110111 => 1
[5,2,1,4,3,6,7,8] => 1101000 => 2
[3,5,7,4,2,6,1,8] => 0011010 => 2
[3,6,4,5,1,2,7,8] => 0101000 => 2
[4,2,1,6,5,3,7,8] => 1101100 => 2
[4,2,1,5,7,6,3,8] => 1100110 => 2
[4,3,5,1,7,6,2,8] => 1010110 => 3
[3,5,4,7,1,6,2,8] => 0101010 => 3
[3,4,7,5,6,1,2,8] => 0010100 => 2
[3,4,5,8,6,7,1,2] => 0001010 => 2
[3,5,4,6,1,8,7,2] => 0101011 => 2
[4,3,5,1,6,8,7,2] => 1010011 => 2
[4,2,1,5,6,8,7,3] => 1100011 => 1
[4,3,2,1,7,6,5,9,8,10] => 111011010 => 3
[7,3,2,1,6,5,4,9,8,10] => 111011010 => 3
[4,3,2,1,9,6,5,8,7,10] => 111011010 => 3
[6,3,2,1,9,5,4,8,7,10] => 111011010 => 3
[9,3,2,1,8,5,4,7,6,10] => 111011010 => 3
[6,5,2,1,9,4,3,8,7,10] => 111011010 => 3
[9,5,2,1,8,4,3,7,6,10] => 111011010 => 3
[4,3,2,1,7,6,5,10,8,9] => 111011010 => 3
[7,3,2,1,6,5,4,10,8,9] => 111011010 => 3
[4,3,2,1,8,6,5,10,7,9] => 111011010 => 3
[6,3,2,1,8,5,4,10,7,9] => 111011010 => 3
[8,3,2,1,7,5,4,10,6,9] => 111011010 => 3
[6,5,2,1,8,4,3,10,7,9] => 111011010 => 3
[8,5,2,1,7,4,3,10,6,9] => 111011010 => 3
[4,3,2,1,10,6,5,9,7,8] => 111011010 => 3
[6,3,2,1,10,5,4,9,7,8] => 111011010 => 3
[7,3,2,1,10,5,4,9,6,8] => 111011010 => 3
[10,3,2,1,9,5,4,8,6,7] => 111011010 => 3
[6,5,2,1,10,4,3,9,7,8] => 111011010 => 3
[7,5,2,1,10,4,3,9,6,8] => 111011010 => 3
[10,5,2,1,9,4,3,8,6,7] => 111011010 => 3
[4,3,2,1,8,7,5,10,6,9] => 111011010 => 3
[5,3,2,1,8,7,4,10,6,9] => 111011010 => 3
[8,3,2,1,7,6,4,10,5,9] => 111011010 => 3
[5,4,2,1,8,7,3,10,6,9] => 111011010 => 3
[8,4,2,1,7,6,3,10,5,9] => 111011010 => 3
[4,3,2,1,10,7,5,9,6,8] => 111011010 => 3
[5,3,2,1,10,7,4,9,6,8] => 111011010 => 3
[7,3,2,1,10,6,4,9,5,8] => 111011010 => 3
[10,3,2,1,9,6,4,8,5,7] => 111011010 => 3
[5,4,2,1,10,7,3,9,6,8] => 111011010 => 3
[7,4,2,1,10,6,3,9,5,8] => 111011010 => 3
[10,4,2,1,9,6,3,8,5,7] => 111011010 => 3
[7,6,2,1,10,5,3,9,4,8] => 111011010 => 3
[10,6,2,1,9,5,3,8,4,7] => 111011010 => 3
[5,4,3,1,8,7,2,10,6,9] => 111011010 => 3
[8,4,3,1,7,6,2,10,5,9] => 111011010 => 3
[5,4,3,1,10,7,2,9,6,8] => 111011010 => 3
[7,4,3,1,10,6,2,9,5,8] => 111011010 => 3
[10,4,3,1,9,6,2,8,5,7] => 111011010 => 3
[7,6,3,1,10,5,2,9,4,8] => 111011010 => 3
[10,6,3,1,9,5,2,8,4,7] => 111011010 => 3
[2,1,4,3,6,5,10,9,7,8] => 101010110 => 4
[2,1,4,3,8,7,5,6,10,9] => 101011001 => 3
[2,1,4,3,10,7,5,9,6,8] => 101011010 => 4
[2,1,4,3,10,9,8,5,6,7] => 101011100 => 3
[2,1,6,5,3,4,8,7,10,9] => 101100101 => 3
[2,1,6,5,3,4,10,9,7,8] => 101100110 => 3
[2,1,8,5,3,7,4,6,10,9] => 101101001 => 3
[2,1,10,5,3,7,4,9,6,8] => 101101010 => 4
[2,1,10,5,3,9,8,4,6,7] => 101101100 => 3
[2,1,8,7,6,3,4,5,10,9] => 101110001 => 2
[2,1,10,7,6,3,4,9,5,8] => 101110010 => 3
[2,1,10,9,6,3,8,4,5,7] => 101110100 => 3
[2,1,10,9,8,7,3,4,5,6] => 101111000 => 2
[4,3,1,2,6,5,8,7,10,9] => 110010101 => 3
[4,3,1,2,6,5,10,9,7,8] => 110010110 => 3
[4,3,1,2,8,7,5,6,10,9] => 110011001 => 2
[4,3,1,2,10,7,5,9,6,8] => 110011010 => 3
[4,3,1,2,10,9,8,5,6,7] => 110011100 => 2
[6,3,1,5,2,4,8,7,10,9] => 110100101 => 3
[6,3,1,5,2,4,10,9,7,8] => 110100110 => 3
[8,3,1,5,2,7,4,6,10,9] => 110101001 => 3
[10,3,1,5,2,7,4,9,6,8] => 110101010 => 4
[10,3,1,5,2,9,8,4,6,7] => 110101100 => 3
[8,3,1,7,6,2,4,5,10,9] => 110110001 => 2
[10,3,1,7,6,2,4,9,5,8] => 110110010 => 3
[10,3,1,9,6,2,8,4,5,7] => 110110100 => 3
[10,3,1,9,8,7,2,4,5,6] => 110111000 => 2
[6,5,4,1,2,3,8,7,10,9] => 111000101 => 2
[6,5,4,1,2,3,10,9,7,8] => 111000110 => 2
[8,5,4,1,2,7,3,6,10,9] => 111001001 => 2
[10,5,4,1,2,7,3,9,6,8] => 111001010 => 3
[10,5,4,1,2,9,8,3,6,7] => 111001100 => 2
[8,7,4,1,6,2,3,5,10,9] => 111010001 => 2
[10,7,4,1,6,2,3,9,5,8] => 111010010 => 3
[10,9,4,1,6,2,8,3,5,7] => 111010100 => 3
[10,9,4,1,8,7,2,3,5,6] => 111011000 => 2
[8,7,6,5,1,2,3,4,10,9] => 111100001 => 1
[10,7,6,5,1,2,3,9,4,8] => 111100010 => 2
[10,9,6,5,1,2,8,3,4,7] => 111100100 => 2
[10,9,8,5,1,7,2,3,4,6] => 111101000 => 2
[7,6,5,4,3,2,9,1,8] => 11111010 => 2
[6,5,4,3,9,2,8,1,7] => 11101010 => 3
[6,5,4,3,2,8,1,7,9] => 11110100 => 2
[5,4,9,3,8,2,7,1,6] => 10101010 => 4
[5,4,3,8,2,7,1,6,9] => 11010100 => 3
[5,4,3,2,7,9,1,6,8] => 11100100 => 2
[5,4,3,2,7,1,6,8,9] => 11101000 => 2
[4,8,3,7,2,6,1,5,9] => 01010100 => 3
[4,3,7,2,6,9,1,5,8] => 10100100 => 3
[4,3,7,2,6,1,5,8,9] => 10101000 => 3
[4,3,2,6,8,1,5,7,9] => 11001000 => 2
[4,3,2,6,1,5,7,8,9] => 11010000 => 2
[3,6,9,2,5,8,1,4,7] => 00100100 => 2
[3,6,2,5,8,1,4,7,9] => 01001000 => 2
[3,6,2,5,1,4,7,8,9] => 01010000 => 2
[3,2,5,7,9,1,4,6,8] => 10001000 => 2
[3,2,5,7,1,4,6,8,9] => 10010000 => 2
[3,2,5,1,4,6,7,8,9] => 10100000 => 2
[2,4,6,8,1,3,5,7,9] => 00010000 => 1
[2,4,6,1,3,5,7,8,9] => 00100000 => 1
[8,7,6,5,4,3,2,10,1,9] => 111111010 => 2
[7,6,5,4,3,10,2,9,1,8] => 111101010 => 3
[7,6,5,4,3,2,9,1,8,10] => 111110100 => 2
[6,5,4,10,3,9,2,8,1,7] => 110101010 => 4
[6,5,4,3,9,2,8,1,7,10] => 111010100 => 3
[6,5,4,3,2,8,10,1,7,9] => 111100100 => 2
[6,5,4,3,2,8,1,7,9,10] => 111101000 => 2
[5,10,4,9,3,8,2,7,1,6] => 010101010 => 4
[5,4,9,3,8,2,7,1,6,10] => 101010100 => 4
[5,4,3,8,2,7,10,1,6,9] => 110100100 => 3
[5,4,3,8,2,7,1,6,9,10] => 110101000 => 3
[5,4,3,2,7,9,1,6,8,10] => 111001000 => 2
[5,4,3,2,7,1,6,8,9,10] => 111010000 => 2
[4,8,3,7,2,6,10,1,5,9] => 010100100 => 3
[4,8,3,7,2,6,1,5,9,10] => 010101000 => 3
[4,3,7,10,2,6,9,1,5,8] => 100100100 => 3
[4,3,7,2,6,9,1,5,8,10] => 101001000 => 3
[4,3,7,2,6,1,5,8,9,10] => 101010000 => 3
[4,3,2,6,8,10,1,5,7,9] => 110001000 => 2
[4,3,2,6,8,1,5,7,9,10] => 110010000 => 2
[4,3,2,6,1,5,7,8,9,10] => 110100000 => 2
[3,6,9,2,5,8,1,4,7,10] => 001001000 => 2
[3,6,2,5,8,10,1,4,7,9] => 010001000 => 2
[3,6,2,5,8,1,4,7,9,10] => 010010000 => 2
[3,6,2,5,1,4,7,8,9,10] => 010100000 => 2
[3,2,5,7,9,1,4,6,8,10] => 100010000 => 2
[3,2,5,7,1,4,6,8,9,10] => 100100000 => 2
[3,2,5,1,4,6,7,8,9,10] => 101000000 => 2
[2,4,6,8,1,3,5,7,9,10] => 000100000 => 1
[2,4,6,1,3,5,7,8,9,10] => 001000000 => 1
[2,4,1,3,5,6,7,8,9,10] => 010000000 => 1
[2,1,7,3,8,4,6,5] => 1010101 => 3
[4,1,8,2,7,3,6,5] => 1010101 => 3
[4,1,7,2,8,3,6,5] => 1010101 => 3
[7,1,3,2,8,4,6,5] => 1010101 => 3
[7,1,8,2,4,3,6,5] => 1010101 => 3
[8,1,7,2,5,3,6,4] => 1010101 => 3
[7,1,5,2,8,3,6,4] => 1010101 => 3
[5,1,7,2,8,3,6,4] => 1010101 => 3
[5,1,8,2,7,3,6,4] => 1010101 => 3
[5,1,8,2,4,3,7,6] => 1010101 => 3
[8,1,6,2,4,3,7,5] => 1010101 => 3
[6,1,8,2,4,3,7,5] => 1010101 => 3
[6,1,8,2,5,3,7,4] => 1010101 => 3
[8,1,6,2,5,3,7,4] => 1010101 => 3
[8,1,6,2,7,3,5,4] => 1010101 => 3
[6,1,8,2,7,3,5,4] => 1010101 => 3
[6,1,7,2,8,3,5,4] => 1010101 => 3
[6,1,7,2,5,3,8,4] => 1010101 => 3
[6,1,7,2,4,3,8,5] => 1010101 => 3
[5,1,6,2,4,3,8,7] => 1010101 => 3
[7,1,5,2,4,3,8,6] => 1010101 => 3
[7,1,6,2,4,3,8,5] => 1010101 => 3
[7,1,6,2,5,3,8,4] => 1010101 => 3
[7,1,6,2,8,3,5,4] => 1010101 => 3
[7,1,8,2,6,3,5,4] => 1010101 => 3
[1,8,2,7,5,4,6,3] => 0101101 => 2
[1,8,2,7,4,3,5,6] => 0101100 => 2
[1,8,6,4,7,2,3,5] => 0110100 => 2
[1,8,4,2,6,3,5,7] => 0110100 => 2
[7,4,8,1,5,2,3,6] => 1010100 => 3
[4,1,7,2,6,3,5,8] => 1010100 => 3
[5,1,7,4,3,6,2,8] => 1011010 => 3
[7,5,8,3,2,4,1,6] => 1011010 => 3
[1,8,5,4,3,6,2,7] => 0111010 => 2
[1,8,5,4,3,7,2,6] => 0111010 => 2
[1,8,5,4,7,2,6,3] => 0110101 => 2
[1,8,4,2,5,3,7,6] => 0110101 => 2
[1,8,5,4,2,6,7,3] => 0111001 => 1
[7,4,8,2,1,3,5,6] => 1011000 => 2
[4,1,7,3,2,5,6,8] => 1011000 => 2
[7,5,4,8,2,3,6,1] => 1101001 => 2
[7,3,8,1,5,6,2,4] => 1010010 => 3
[3,1,7,2,6,8,4,5] => 1010010 => 3
[5,1,7,4,2,6,8,3] => 1011001 => 2
[4,1,6,3,2,5,8,7] => 1011001 => 2
[4,3,1,6,2,5,7,8] => 1101000 => 2
[6,5,4,3,7,1,8,2] => 1110101 => 2
[6,3,2,8,5,7,1,4] => 1101010 => 3
[6,5,4,3,8,2,7,1] => 1110101 => 2
[6,5,4,3,8,7,1,2] => 1110110 => 2
[7,6,3,8,5,4,1,2] => 1101110 => 2
[5,4,8,2,1,7,3,6] => 1011010 => 3
[6,4,2,8,5,1,3,7] => 1101100 => 2
[7,6,4,8,5,1,2,3] => 1101100 => 2
[7,2,8,6,3,1,4,5] => 1011100 => 2
[7,2,8,6,1,5,3,4] => 1011010 => 3
[2,1,7,8,3,6,4,5] => 1001010 => 3
[6,4,1,7,8,2,3,5] => 1100100 => 2
[4,2,1,6,7,3,5,8] => 1100100 => 2
[4,3,1,5,2,7,6,8] => 1101010 => 3
[5,4,2,7,3,8,1,6] => 1101010 => 3
[4,1,5,3,2,8,6,7] => 1011010 => 3
[3,1,6,2,8,7,4,5] => 1010110 => 3
[6,3,1,7,8,5,2,4] => 1100110 => 2
[6,5,4,1,7,8,3,2] => 1110011 => 1
[5,4,3,1,6,7,2,8] => 1110010 => 2
[6,5,4,2,7,8,3,1] => 1110011 => 1
[5,4,2,6,3,8,7,1] => 1101011 => 2
[4,3,1,5,2,6,8,7] => 1101001 => 2
[5,4,2,1,6,7,8,3] => 1110001 => 1
[5,4,3,1,6,7,8,2] => 1110001 => 1
[6,3,8,1,2,5,7,4] => 1010001 => 2
[3,6,7,1,2,5,8,4] => 0010001 => 1
[7,8,3,1,2,5,6,4] => 0110001 => 1
[7,8,1,3,2,4,6,5] => 0101001 => 2
[7,8,2,1,3,5,4,6] => 0110010 => 2
[5,2,3,7,1,8,6,4] => 1001011 => 2
[2,5,3,6,1,8,7,4] => 0101011 => 2
[2,6,7,3,1,8,4,5] => 0011010 => 2
[2,6,7,1,3,5,4,8] => 0010010 => 2
[6,2,8,3,1,7,4,5] => 1011010 => 3
[3,2,5,7,1,8,4,6] => 1001010 => 3
[4,3,1,2,7,8,6,5] => 1100011 => 1
[5,1,2,7,3,6,4,8] => 1001010 => 3
[5,1,4,7,8,2,3,6] => 1000100 => 2
[5,3,4,7,8,6,1,2] => 1000110 => 2
[3,5,4,6,8,7,1,2] => 0100110 => 2
[1,5,4,6,8,2,3,7] => 0100100 => 2
[1,6,7,3,2,4,8,5] => 0011001 => 1
[1,5,3,6,2,7,8,4] => 0101001 => 2
[5,1,3,7,2,6,8,4] => 1001001 => 2
[5,2,4,7,8,1,6,3] => 1000101 => 2
[4,2,5,7,6,1,8,3] => 1001101 => 2
[4,5,2,8,6,1,7,3] => 0101101 => 2
[5,3,1,8,2,6,7,4] => 1101001 => 2
[6,1,8,3,2,4,7,5] => 1011001 => 2
[4,3,5,7,6,8,1,2] => 1001010 => 3
[4,1,5,7,6,2,3,8] => 1001100 => 2
[4,5,1,8,6,2,3,7] => 0101100 => 2
[5,2,1,8,3,6,4,7] => 1101010 => 3
[3,4,2,1,8,7,5,6] => 0110110 => 2
[7,6,5,4,2,1,8,3] => 1111101 => 1
[7,6,5,4,8,1,3,2] => 1110101 => 2
[8,7,6,5,4,2,1,9,3] => 11111101 => 1
[7,6,5,8,2,1,4,3] => 1101101 => 2
[8,7,6,5,3,2,1,9,4] => 11111101 => 1
[8,7,6,4,3,2,1,9,5] => 11111101 => 1
[8,7,5,4,3,2,1,9,6] => 11111101 => 1
[8,5,4,3,2,1,7,6] => 1111101 => 1
[8,6,5,4,3,2,1,9,7] => 11111101 => 1
[7,6,5,4,3,2,1,9,8] => 11111101 => 1
[7,6,5,4,1,8,3,2] => 1111011 => 1
[8,7,6,5,4,9,1,3,2] => 11110101 => 2
[9,8,7,6,5,4,2,1,10,3] => 111111101 => 1
[7,6,5,2,8,1,4,3] => 1110101 => 2
[8,7,6,5,9,2,1,4,3] => 11101101 => 2
[9,8,7,6,5,3,2,1,10,4] => 111111101 => 1
[7,6,5,8,4,1,3,2] => 1101101 => 2
[8,7,6,9,3,2,1,5,4] => 11011101 => 2
[9,8,7,6,4,3,2,1,10,5] => 111111101 => 1
[7,6,8,5,2,1,4,3] => 1011101 => 2
[8,7,9,4,3,2,1,6,5] => 10111101 => 2
[9,8,7,5,4,3,2,1,10,6] => 111111101 => 1
[7,8,6,3,2,1,5,4] => 0111101 => 1
[8,9,5,4,3,2,1,7,6] => 01111101 => 1
[9,8,6,5,4,3,2,1,10,7] => 111111101 => 1
[8,7,4,3,2,1,6,5] => 1111101 => 1
[9,6,5,4,3,2,1,8,7] => 11111101 => 1
[9,7,6,5,4,3,2,1,10,8] => 111111101 => 1
[7,8,9,10,4,5,6,2,3,1] => 000100101 => 2
[7,8,9,4,5,6,10,2,3,1] => 001000101 => 2
[7,8,9,10,4,5,2,3,6,1] => 000101001 => 2
[7,8,9,4,5,10,2,3,6,1] => 001001001 => 2
[7,8,9,4,5,2,3,6,10,1] => 001010001 => 2
[7,8,4,5,9,10,2,3,6,1] => 010001001 => 2
[7,8,4,5,9,2,3,6,10,1] => 010010001 => 2
[7,8,9,10,4,5,6,2,1,3] => 000100110 => 2
[7,8,9,4,5,6,10,2,1,3] => 001000110 => 2
[7,8,9,10,4,5,2,6,1,3] => 000101010 => 3
[7,8,9,4,5,10,2,6,1,3] => 001001010 => 3
[7,8,9,4,5,2,6,10,1,3] => 001010010 => 3
[7,8,4,5,9,10,2,6,1,3] => 010001010 => 3
[7,8,4,5,9,2,6,10,1,3] => 010010010 => 3
[7,8,9,10,4,5,2,1,3,6] => 000101100 => 2
[7,8,9,4,5,10,2,1,3,6] => 001001100 => 2
[7,8,9,4,5,2,10,1,3,6] => 001010100 => 3
[7,8,9,4,5,2,1,3,6,10] => 001011000 => 2
[7,8,4,5,9,10,2,1,3,6] => 010001100 => 2
[7,8,4,5,9,2,10,1,3,6] => 010010100 => 3
[7,8,4,5,9,2,1,3,6,10] => 010011000 => 2
[7,8,9,10,4,2,5,6,1,3] => 000110010 => 2
[7,8,9,4,10,2,5,6,1,3] => 001010010 => 3
[7,8,9,4,2,5,6,10,1,3] => 001100010 => 2
[7,8,4,9,10,2,5,6,1,3] => 010010010 => 3
[7,8,4,9,2,5,6,10,1,3] => 010100010 => 3
[7,8,9,10,4,2,5,1,3,6] => 000110100 => 2
[7,8,9,4,10,2,5,1,3,6] => 001010100 => 3
[7,8,9,4,2,5,10,1,3,6] => 001100100 => 2
[7,8,9,4,2,5,1,3,6,10] => 001101000 => 2
[7,8,4,9,10,2,5,1,3,6] => 010010100 => 3
[7,8,4,9,2,5,10,1,3,6] => 010100100 => 3
[7,8,4,9,2,5,1,3,6,10] => 010101000 => 3
[7,8,4,2,5,9,10,1,3,6] => 011000100 => 2
[7,8,4,2,5,9,1,3,6,10] => 011001000 => 2
[7,4,8,9,10,2,5,6,1,3] => 100010010 => 3
[7,4,8,9,2,5,6,10,1,3] => 100100010 => 3
[7,4,8,9,10,2,5,1,3,6] => 100010100 => 3
[7,4,8,9,2,5,10,1,3,6] => 100100100 => 3
[7,4,8,9,2,5,1,3,6,10] => 100101000 => 3
[7,4,8,2,5,9,10,1,3,6] => 101000100 => 3
[7,8,2,4,5,1,3,6] => 0100100 => 2
[4,6,7,2,5,1,3,8] => 0010100 => 2
[7,8,1,3,2,4,5,6] => 0101000 => 2
[7,8,4,1,5,2,3,6] => 0110100 => 2
[3,6,7,2,1,4,5,8] => 0011000 => 1
[5,2,3,6,1,4,7,8] => 1001000 => 2
[2,5,3,6,1,4,7,8] => 0101000 => 2
[2,6,7,3,1,4,5,8] => 0011000 => 1
[4,6,7,1,5,2,3,8] => 0010100 => 2
[4,6,7,3,5,8,1,2] => 0010010 => 2
[6,4,7,1,5,2,3,8] => 1010100 => 3
[6,2,7,3,1,4,5,8] => 1011000 => 2
[3,2,5,6,1,4,7,8] => 1001000 => 2
[3,5,2,6,1,4,7,8] => 0101000 => 2
[5,1,4,6,7,2,3,8] => 1000100 => 2
[3,5,4,6,7,8,1,2] => 0100010 => 2
[1,5,4,6,7,2,3,8] => 0100100 => 2
[1,6,7,3,2,4,5,8] => 0011000 => 1
[1,5,3,6,2,4,7,8] => 0101000 => 2
[5,1,3,6,2,4,7,8] => 1001000 => 2
[5,2,4,6,7,1,3,8] => 1000100 => 2
[2,5,4,6,7,1,3,8] => 0100100 => 2
[2,6,7,4,5,1,3,8] => 0010100 => 2
[6,2,7,4,5,1,3,8] => 1010100 => 3
[4,2,5,6,7,1,3,8] => 1000100 => 2
[4,5,2,6,7,1,3,8] => 0100100 => 2
[5,3,1,6,2,4,7,8] => 1101000 => 2
[6,1,7,3,2,4,5,8] => 1011000 => 2
[6,1,7,4,5,2,3,8] => 1010100 => 3
[6,3,7,4,5,8,1,2] => 1010010 => 3
[5,4,1,6,7,2,3,8] => 1100100 => 2
[5,2,1,6,3,4,7,8] => 1101000 => 2
[7,3,2,5,4,1,6,8] => 1101100 => 2
[7,3,5,4,2,1,6,8] => 1011100 => 2
[7,3,5,2,4,1,6,8] => 1010100 => 3
[7,6,5,2,1,4,3,8] => 1111010 => 2
[1,3,6,7,5,2,8,4] => 0001101 => 1
[7,3,4,1,6,2,5,8] => 1010100 => 3
[7,3,4,1,6,5,2,8] => 1010110 => 3
[7,3,4,1,5,6,2,8] => 1010010 => 3
[7,3,2,5,1,6,4,8] => 1101010 => 3
[7,6,5,4,1,3,2,8] => 1111010 => 2
[7,3,4,1,5,2,6,8] => 1010100 => 3
[1,3,6,7,2,5,8,4] => 0001001 => 1
[1,7,4,6,2,8,5,3] => 0101011 => 2
[4,3,1,7,2,6,8,5] => 1101001 => 2
[5,6,1,4,7,3,8,2] => 0100101 => 2
[5,3,2,1,7,4,8,6] => 1110101 => 2
[1,3,4,5,8,7,2,6] => 0000110 => 1
[6,3,4,5,8,1,7,2] => 1000101 => 2
[2,4,5,1,6,8,7,3] => 0010011 => 1
[3,1,2,5,6,8,7,4] => 1000011 => 1
[4,3,2,5,6,8,1,7] => 1100010 => 2
[3,7,5,4,6,8,1,2] => 0110010 => 2
[3,1,4,6,5,8,2,7] => 1001010 => 3
[2,3,4,5,8,6,1,7] => 0000110 => 1
[2,3,4,5,8,1,7,6] => 0000101 => 1
[3,1,4,6,5,8,7,2] => 1001011 => 2
[3,7,5,4,6,8,2,1] => 0110011 => 1
[5,6,1,4,7,2,8,3] => 0100101 => 2
[4,3,1,7,5,6,8,2] => 1101001 => 2
[4,3,1,7,6,5,8,2] => 1101101 => 2
[3,1,4,6,7,8,5,2] => 1000011 => 1
[1,4,5,2,6,8,7,3] => 0010011 => 1
[3,7,5,2,6,8,1,4] => 0110010 => 2
[3,7,5,2,6,8,4,1] => 0110011 => 1
[5,6,1,2,7,4,8,3] => 0100101 => 2
[6,3,5,2,4,7,8,1] => 1010001 => 2
[5,3,2,1,4,7,8,6] => 1110001 => 1
[5,3,1,4,2,7,8,6] => 1101001 => 2
[5,3,1,2,4,7,8,6] => 1100001 => 1
[7,1,5,2,6,8,4,3] => 1010011 => 2
[7,1,5,2,6,8,3,4] => 1010010 => 3
[1,7,4,6,5,8,3,2] => 0101011 => 2
[2,7,4,6,1,8,3,5] => 0101010 => 3
[2,7,4,6,1,8,5,3] => 0101011 => 2
[2,3,6,7,1,5,8,4] => 0001001 => 1
[2,3,6,7,5,1,8,4] => 0001101 => 1
[4,3,2,6,7,1,8,5] => 1100101 => 2
[7,3,2,5,6,8,1,4] => 1100010 => 2
[7,1,5,4,6,8,2,3] => 1010010 => 3
[2,7,4,6,5,8,1,3] => 0101010 => 3
[7,3,4,5,8,6,1,2] => 1000110 => 2
[7,3,4,5,8,1,6,2] => 1000101 => 2
[7,3,4,5,8,1,2,6] => 1000100 => 2
[1,3,4,5,8,6,2,7] => 0000110 => 1
[1,3,4,5,8,2,7,6] => 0000101 => 1
[6,3,4,5,8,2,1,7] => 1000110 => 2
[6,3,4,5,8,2,7,1] => 1000101 => 2
[7,3,4,5,8,6,2,1] => 1000111 => 1
[2,7,4,6,5,8,3,1] => 0101011 => 2
[7,1,5,4,6,8,3,2] => 1010011 => 2
[7,3,2,5,6,8,4,1] => 1100011 => 1
[5,7,4,6,1,8,3,2] => 0101011 => 2
[6,3,4,5,8,1,2,7] => 1000100 => 2
[7,3,4,5,8,2,1,6] => 1000110 => 2
[7,3,4,5,8,2,6,1] => 1000101 => 2
[4,7,6,1,8,2,5,3] => 0110101 => 2
[4,8,6,1,7,5,2,3] => 0110110 => 2
[4,7,8,2,6,1,5,3] => 0010101 => 2
[7,6,4,2,8,3,5,1] => 1110101 => 2
[8,6,4,2,7,5,3,1] => 1110111 => 1
[8,4,7,3,6,5,1,2] => 1010110 => 3
[8,4,6,1,7,5,3,2] => 1010111 => 2
[6,4,7,1,8,3,2,5] => 1010110 => 3
[7,4,8,3,6,1,5,2] => 1010101 => 3
[7,8,4,3,6,2,5,1] => 0110101 => 2
[8,10,7,9,5,6,3,4,1,2] => 010101010 => 4
[9,10,6,8,5,7,3,4,1,2] => 010101010 => 4
[8,10,6,9,5,7,3,4,1,2] => 010101010 => 4
[7,10,6,9,5,8,3,4,1,2] => 010101010 => 4
[9,10,7,8,4,6,3,5,1,2] => 010101010 => 4
[8,10,7,9,4,6,3,5,1,2] => 010101010 => 4
[9,10,6,8,4,7,3,5,1,2] => 010101010 => 4
[8,10,6,9,4,7,3,5,1,2] => 010101010 => 4
[7,10,6,9,4,8,3,5,1,2] => 010101010 => 4
[9,10,5,8,4,7,3,6,1,2] => 010101010 => 4
[8,10,5,9,4,7,3,6,1,2] => 010101010 => 4
[7,10,5,9,4,8,3,6,1,2] => 010101010 => 4
[6,10,5,9,4,8,3,7,1,2] => 010101010 => 4
[9,10,7,8,5,6,2,4,1,3] => 010101010 => 4
[8,10,7,9,5,6,2,4,1,3] => 010101010 => 4
[9,10,6,8,5,7,2,4,1,3] => 010101010 => 4
[8,10,6,9,5,7,2,4,1,3] => 010101010 => 4
[7,10,6,9,5,8,2,4,1,3] => 010101010 => 4
[9,10,7,8,4,6,2,5,1,3] => 010101010 => 4
[8,10,7,9,4,6,2,5,1,3] => 010101010 => 4
[9,10,6,8,4,7,2,5,1,3] => 010101010 => 4
[8,10,6,9,4,7,2,5,1,3] => 010101010 => 4
[7,10,6,9,4,8,2,5,1,3] => 010101010 => 4
[9,10,5,8,4,7,2,6,1,3] => 010101010 => 4
[8,10,5,9,4,7,2,6,1,3] => 010101010 => 4
[7,10,5,9,4,8,2,6,1,3] => 010101010 => 4
[6,10,5,9,4,8,2,7,1,3] => 010101010 => 4
[9,10,7,8,3,6,2,5,1,4] => 010101010 => 4
[8,10,7,9,3,6,2,5,1,4] => 010101010 => 4
[9,10,6,8,3,7,2,5,1,4] => 010101010 => 4
[8,10,6,9,3,7,2,5,1,4] => 010101010 => 4
[7,10,6,9,3,8,2,5,1,4] => 010101010 => 4
[9,10,5,8,3,7,2,6,1,4] => 010101010 => 4
[8,10,5,9,3,7,2,6,1,4] => 010101010 => 4
[7,10,5,9,3,8,2,6,1,4] => 010101010 => 4
[6,10,5,9,3,8,2,7,1,4] => 010101010 => 4
[9,10,4,8,3,7,2,6,1,5] => 010101010 => 4
[8,10,4,9,3,7,2,6,1,5] => 010101010 => 4
[7,10,4,9,3,8,2,6,1,5] => 010101010 => 4
[6,10,4,9,3,8,2,7,1,5] => 010101010 => 4
[10,12,9,11,7,8,5,6,3,4,1,2] => 01010101010 => 5
[11,12,8,10,7,9,5,6,3,4,1,2] => 01010101010 => 5
[10,12,8,11,7,9,5,6,3,4,1,2] => 01010101010 => 5
[9,12,8,11,7,10,5,6,3,4,1,2] => 01010101010 => 5
[11,12,9,10,6,8,5,7,3,4,1,2] => 01010101010 => 5
[10,12,9,11,6,8,5,7,3,4,1,2] => 01010101010 => 5
[11,12,8,10,6,9,5,7,3,4,1,2] => 01010101010 => 5
[10,12,8,11,6,9,5,7,3,4,1,2] => 01010101010 => 5
[9,12,8,11,6,10,5,7,3,4,1,2] => 01010101010 => 5
[11,12,7,10,6,9,5,8,3,4,1,2] => 01010101010 => 5
[10,12,7,11,6,9,5,8,3,4,1,2] => 01010101010 => 5
[9,12,7,11,6,10,5,8,3,4,1,2] => 01010101010 => 5
[8,12,7,11,6,10,5,9,3,4,1,2] => 01010101010 => 5
[11,12,9,10,7,8,4,6,3,5,1,2] => 01010101010 => 5
[10,12,9,11,7,8,4,6,3,5,1,2] => 01010101010 => 5
[11,12,8,10,7,9,4,6,3,5,1,2] => 01010101010 => 5
[10,12,8,11,7,9,4,6,3,5,1,2] => 01010101010 => 5
[9,12,8,11,7,10,4,6,3,5,1,2] => 01010101010 => 5
[11,12,9,10,6,8,4,7,3,5,1,2] => 01010101010 => 5
[10,12,9,11,6,8,4,7,3,5,1,2] => 01010101010 => 5
[11,12,8,10,6,9,4,7,3,5,1,2] => 01010101010 => 5
[10,12,8,11,6,9,4,7,3,5,1,2] => 01010101010 => 5
[9,12,8,11,6,10,4,7,3,5,1,2] => 01010101010 => 5
[11,12,7,10,6,9,4,8,3,5,1,2] => 01010101010 => 5
[10,12,7,11,6,9,4,8,3,5,1,2] => 01010101010 => 5
[9,12,7,11,6,10,4,8,3,5,1,2] => 01010101010 => 5
[8,12,7,11,6,10,4,9,3,5,1,2] => 01010101010 => 5
[11,12,9,10,5,8,4,7,3,6,1,2] => 01010101010 => 5
[10,12,9,11,5,8,4,7,3,6,1,2] => 01010101010 => 5
[11,12,8,10,5,9,4,7,3,6,1,2] => 01010101010 => 5
[10,12,8,11,5,9,4,7,3,6,1,2] => 01010101010 => 5
[9,12,8,11,5,10,4,7,3,6,1,2] => 01010101010 => 5
[11,12,7,10,5,9,4,8,3,6,1,2] => 01010101010 => 5
[10,12,7,11,5,9,4,8,3,6,1,2] => 01010101010 => 5
[9,12,7,11,5,10,4,8,3,6,1,2] => 01010101010 => 5
[8,12,7,11,5,10,4,9,3,6,1,2] => 01010101010 => 5
[11,12,6,10,5,9,4,8,3,7,1,2] => 01010101010 => 5
[10,12,6,11,5,9,4,8,3,7,1,2] => 01010101010 => 5
[9,12,6,11,5,10,4,8,3,7,1,2] => 01010101010 => 5
[8,12,6,11,5,10,4,9,3,7,1,2] => 01010101010 => 5
[7,12,6,11,5,10,4,9,3,8,1,2] => 01010101010 => 5
[11,12,9,10,7,8,5,6,2,4,1,3] => 01010101010 => 5
[10,12,9,11,7,8,5,6,2,4,1,3] => 01010101010 => 5
[11,12,8,10,7,9,5,6,2,4,1,3] => 01010101010 => 5
[10,12,8,11,7,9,5,6,2,4,1,3] => 01010101010 => 5
[9,12,8,11,7,10,5,6,2,4,1,3] => 01010101010 => 5
[11,12,9,10,6,8,5,7,2,4,1,3] => 01010101010 => 5
[10,12,9,11,6,8,5,7,2,4,1,3] => 01010101010 => 5
[11,12,8,10,6,9,5,7,2,4,1,3] => 01010101010 => 5
[10,12,8,11,6,9,5,7,2,4,1,3] => 01010101010 => 5
[9,12,8,11,6,10,5,7,2,4,1,3] => 01010101010 => 5
[11,12,7,10,6,9,5,8,2,4,1,3] => 01010101010 => 5
[10,12,7,11,6,9,5,8,2,4,1,3] => 01010101010 => 5
[9,12,7,11,6,10,5,8,2,4,1,3] => 01010101010 => 5
[8,12,7,11,6,10,5,9,2,4,1,3] => 01010101010 => 5
[11,12,9,10,7,8,4,6,2,5,1,3] => 01010101010 => 5
[10,12,9,11,7,8,4,6,2,5,1,3] => 01010101010 => 5
[11,12,8,10,7,9,4,6,2,5,1,3] => 01010101010 => 5
[10,12,8,11,7,9,4,6,2,5,1,3] => 01010101010 => 5
[9,12,8,11,7,10,4,6,2,5,1,3] => 01010101010 => 5
[11,12,9,10,6,8,4,7,2,5,1,3] => 01010101010 => 5
[10,12,9,11,6,8,4,7,2,5,1,3] => 01010101010 => 5
[11,12,8,10,6,9,4,7,2,5,1,3] => 01010101010 => 5
[10,12,8,11,6,9,4,7,2,5,1,3] => 01010101010 => 5
[9,12,8,11,6,10,4,7,2,5,1,3] => 01010101010 => 5
[11,12,7,10,6,9,4,8,2,5,1,3] => 01010101010 => 5
[10,12,7,11,6,9,4,8,2,5,1,3] => 01010101010 => 5
[9,12,7,11,6,10,4,8,2,5,1,3] => 01010101010 => 5
[8,12,7,11,6,10,4,9,2,5,1,3] => 01010101010 => 5
[11,12,9,10,5,8,4,7,2,6,1,3] => 01010101010 => 5
[10,12,9,11,5,8,4,7,2,6,1,3] => 01010101010 => 5
[11,12,8,10,5,9,4,7,2,6,1,3] => 01010101010 => 5
[10,12,8,11,5,9,4,7,2,6,1,3] => 01010101010 => 5
[9,12,8,11,5,10,4,7,2,6,1,3] => 01010101010 => 5
[11,12,7,10,5,9,4,8,2,6,1,3] => 01010101010 => 5
[10,12,7,11,5,9,4,8,2,6,1,3] => 01010101010 => 5
[9,12,7,11,5,10,4,8,2,6,1,3] => 01010101010 => 5
[8,12,7,11,5,10,4,9,2,6,1,3] => 01010101010 => 5
[11,12,6,10,5,9,4,8,2,7,1,3] => 01010101010 => 5
[10,12,6,11,5,9,4,8,2,7,1,3] => 01010101010 => 5
[9,12,6,11,5,10,4,8,2,7,1,3] => 01010101010 => 5
[8,12,6,11,5,10,4,9,2,7,1,3] => 01010101010 => 5
[7,12,6,11,5,10,4,9,2,8,1,3] => 01010101010 => 5
[11,12,9,10,7,8,3,6,2,5,1,4] => 01010101010 => 5
[10,12,9,11,7,8,3,6,2,5,1,4] => 01010101010 => 5
[11,12,8,10,7,9,3,6,2,5,1,4] => 01010101010 => 5
[10,12,8,11,7,9,3,6,2,5,1,4] => 01010101010 => 5
[9,12,8,11,7,10,3,6,2,5,1,4] => 01010101010 => 5
[11,12,9,10,6,8,3,7,2,5,1,4] => 01010101010 => 5
[10,12,9,11,6,8,3,7,2,5,1,4] => 01010101010 => 5
[11,12,8,10,6,9,3,7,2,5,1,4] => 01010101010 => 5
[10,12,8,11,6,9,3,7,2,5,1,4] => 01010101010 => 5
[9,12,8,11,6,10,3,7,2,5,1,4] => 01010101010 => 5
[11,12,7,10,6,9,3,8,2,5,1,4] => 01010101010 => 5
[10,12,7,11,6,9,3,8,2,5,1,4] => 01010101010 => 5
[9,12,7,11,6,10,3,8,2,5,1,4] => 01010101010 => 5
[8,12,7,11,6,10,3,9,2,5,1,4] => 01010101010 => 5
[11,12,9,10,5,8,3,7,2,6,1,4] => 01010101010 => 5
[10,12,9,11,5,8,3,7,2,6,1,4] => 01010101010 => 5
[11,12,8,10,5,9,3,7,2,6,1,4] => 01010101010 => 5
[10,12,8,11,5,9,3,7,2,6,1,4] => 01010101010 => 5
[9,12,8,11,5,10,3,7,2,6,1,4] => 01010101010 => 5
[11,12,7,10,5,9,3,8,2,6,1,4] => 01010101010 => 5
[10,12,7,11,5,9,3,8,2,6,1,4] => 01010101010 => 5
[9,12,7,11,5,10,3,8,2,6,1,4] => 01010101010 => 5
[8,12,7,11,5,10,3,9,2,6,1,4] => 01010101010 => 5
[11,12,6,10,5,9,3,8,2,7,1,4] => 01010101010 => 5
[10,12,6,11,5,9,3,8,2,7,1,4] => 01010101010 => 5
[9,12,6,11,5,10,3,8,2,7,1,4] => 01010101010 => 5
[8,12,6,11,5,10,3,9,2,7,1,4] => 01010101010 => 5
[7,12,6,11,5,10,3,9,2,8,1,4] => 01010101010 => 5
[11,12,9,10,4,8,3,7,2,6,1,5] => 01010101010 => 5
[10,12,9,11,4,8,3,7,2,6,1,5] => 01010101010 => 5
[11,12,8,10,4,9,3,7,2,6,1,5] => 01010101010 => 5
[10,12,8,11,4,9,3,7,2,6,1,5] => 01010101010 => 5
[9,12,8,11,4,10,3,7,2,6,1,5] => 01010101010 => 5
[11,12,7,10,4,9,3,8,2,6,1,5] => 01010101010 => 5
[10,12,7,11,4,9,3,8,2,6,1,5] => 01010101010 => 5
[9,12,7,11,4,10,3,8,2,6,1,5] => 01010101010 => 5
[8,12,7,11,4,10,3,9,2,6,1,5] => 01010101010 => 5
[11,12,6,10,4,9,3,8,2,7,1,5] => 01010101010 => 5
[10,12,6,11,4,9,3,8,2,7,1,5] => 01010101010 => 5
[9,12,6,11,4,10,3,8,2,7,1,5] => 01010101010 => 5
[8,12,6,11,4,10,3,9,2,7,1,5] => 01010101010 => 5
[7,12,6,11,4,10,3,9,2,8,1,5] => 01010101010 => 5
[11,12,5,10,4,9,3,8,2,7,1,6] => 01010101010 => 5
[10,12,5,11,4,9,3,8,2,7,1,6] => 01010101010 => 5
[9,12,5,11,4,10,3,8,2,7,1,6] => 01010101010 => 5
[8,12,5,11,4,10,3,9,2,7,1,6] => 01010101010 => 5
[7,12,5,11,4,10,3,9,2,8,1,6] => 01010101010 => 5
[6,12,5,11,4,10,3,9,2,8,1,7] => 01010101010 => 5
[2,1,7,3,5,8,6,4] => 1010011 => 2
[4,2,1,8,3,6,7,5] => 1101001 => 2
[2,1,8,6,3,5,7,4] => 1011001 => 2
[6,2,1,7,3,5,8,4] => 1101001 => 2
[2,7,3,1,4,8,5,6] => 0110010 => 2
[3,2,1,5,7,8,4,6] => 1100010 => 2
[2,1,7,3,6,8,4,5] => 1010010 => 3
[2,7,3,1,5,6,8,4] => 0110001 => 1
[4,3,7,5,6,1,8,2] => 1010101 => 3
[4,3,6,8,5,1,7,2] => 1001101 => 2
[2,6,1,8,3,5,7,4] => 0101001 => 2
[2,1,6,8,3,7,4,5] => 1001010 => 3
[2,1,8,3,5,7,4,6] => 1010010 => 3
[3,2,1,5,6,8,4,7] => 1100010 => 2
[3,2,1,5,7,4,6,8] => 1100100 => 2
[8,2,4,1,7,5,6,3] => 1010101 => 3
[3,8,4,7,5,1,6,2] => 0101101 => 2
[8,4,3,6,1,7,5,2] => 1101011 => 2
[8,2,1,7,3,5,4,6] => 1101010 => 3
[5,8,6,3,1,7,4,2] => 0111011 => 1
[2,4,7,1,8,5,3,6] => 0010110 => 2
[2,4,8,5,1,6,3,7] => 0011010 => 2
[6,2,1,7,3,4,8,5] => 1101001 => 2
[6,2,1,7,8,3,5,4] => 1100101 => 2
[2,1,8,3,6,4,5,7] => 1010100 => 3
[3,2,1,6,7,4,5,8] => 1100100 => 2
[3,2,1,6,8,4,5,7] => 1100100 => 2
[2,1,8,3,7,4,5,6] => 1010100 => 3
[2,1,8,3,6,7,4,5] => 1010010 => 3
[2,4,8,5,1,6,7,3] => 0011001 => 1
[3,2,1,8,4,5,6,7] => 1101000 => 2
[1,6,8,3,7,2,4,5] => 0010100 => 2
[3,8,1,5,7,2,4,6] => 0100100 => 2
[1,2,6,8,4,7,3,5] => 0001010 => 2
[6,1,5,8,2,4,7,3] => 1001001 => 2
[1,2,4,8,3,6,7,5] => 0001001 => 1
[4,1,2,7,8,3,6,5] => 1000101 => 2
[3,5,7,4,8,6,1,2] => 0010110 => 2
[5,3,8,4,7,6,1,2] => 1010110 => 3
[8,7,1,2,5,4,6,3] => 1100101 => 2
[5,8,1,2,3,7,6,4] => 0100011 => 1
[1,2,8,4,3,5,7,6] => 0011001 => 1
[1,2,5,3,7,6,4,8] => 0010110 => 2
[6,1,2,8,7,4,5,3] => 1001101 => 2
[7,1,6,2,8,4,5,3] => 1010101 => 3
[1,2,6,3,8,5,4,7] => 0010110 => 2
[1,2,8,5,3,6,4,7] => 0011010 => 2
[1,2,7,3,8,5,4,6] => 0010110 => 2
[4,1,2,7,8,6,3,5] => 1000110 => 2
[1,6,2,8,4,3,5,7] => 0101100 => 2
[1,6,4,2,7,3,5,8] => 0110100 => 2
[1,8,6,3,2,4,5,7] => 0111000 => 1
[1,7,3,2,8,4,5,6] => 0110100 => 2
[3,1,7,8,6,2,4,5] => 1001100 => 2
[1,8,7,2,4,5,6,3] => 0110001 => 1
[1,8,7,3,5,6,2,4] => 0110010 => 2
[1,3,2,8,7,4,5,6] => 0101100 => 2
[1,8,3,2,6,4,5,7] => 0110100 => 2
[1,7,6,3,2,4,5,8] => 0111000 => 1
[1,2,8,4,3,7,5,6] => 0011010 => 2
[8,5,1,7,2,4,6,3] => 1101001 => 2
[5,3,8,7,4,6,1,2] => 1011010 => 3
[3,8,6,4,7,5,1,2] => 0110110 => 2
[6,1,8,2,7,4,5,3] => 1010101 => 3
[1,2,5,3,8,6,4,7] => 0010110 => 2
[1,2,7,5,3,6,4,8] => 0011010 => 2
[1,2,6,3,7,5,4,8] => 0010110 => 2
[1,2,3,7,5,4,8,6] => 0001101 => 1
[3,7,4,8,6,5,1,2] => 0101110 => 2
[1,8,2,7,6,4,5,3] => 0101101 => 2
[2,9,8,7,6,5,4,1,3] => 01111110 => 1
[2,8,7,6,5,1,4,3] => 0111101 => 1
[7,1,6,3,2,5,4,8] => 1011010 => 3
[2,7,6,3,1,5,8,4] => 0111001 => 1
[1,8,4,3,6,5,2,7] => 0110110 => 2
[1,8,4,6,5,3,2,7] => 0101110 => 2
[7,4,2,1,6,5,3,8] => 1110110 => 2
[7,6,1,4,3,5,2,8] => 1101010 => 3
[7,4,1,3,5,2,6,8] => 1100100 => 2
[7,3,1,2,4,6,5,8] => 1100010 => 2
[1,8,6,3,4,5,2,7] => 0110010 => 2
[1,8,6,7,4,2,5,3] => 0101101 => 2
[3,6,2,1,4,8,5,7] => 0110010 => 2
[3,1,7,2,4,6,8,5] => 1010001 => 2
[3,4,7,1,5,2,8,6] => 0010101 => 2
[3,6,7,4,1,5,8,2] => 0011001 => 1
[4,3,2,7,1,5,8,6] => 1101001 => 2
[3,1,2,8,6,5,4,7] => 1001110 => 2
[5,4,8,6,1,2,3,7] => 1011000 => 2
[5,6,8,7,4,3,1,2] => 0011110 => 1
[1,8,2,7,4,3,6,5] => 0101101 => 2
[6,5,8,2,3,7,1,4] => 1010010 => 3
[6,4,8,5,3,1,7,2] => 1011101 => 2
[5,7,8,6,1,3,2,4] => 0011010 => 2
[2,4,8,1,6,3,7,5] => 0010101 => 2
[3,1,2,8,6,4,7,5] => 1001101 => 2
[5,3,2,6,4,8,1,7] => 1101010 => 3
[4,1,6,3,5,8,2,7] => 1010010 => 3
[2,4,5,3,8,6,1,7] => 0010110 => 2
[1,8,5,3,2,7,6,4] => 0111011 => 1
[1,8,4,5,2,6,7,3] => 0101001 => 2
[4,1,2,7,6,5,8,3] => 1001101 => 2
[2,4,1,6,7,8,5,3] => 0100011 => 1
[1,8,4,3,6,2,7,5] => 0110101 => 2
[5,6,7,3,2,8,1,4] => 0011010 => 2
[2,5,7,3,6,8,4,1] => 0010011 => 1
[5,3,2,1,4,8,6,7] => 1110010 => 2
[5,3,1,4,2,8,6,7] => 1101010 => 3
[7,6,1,3,8,5,4,2] => 1100111 => 1
[3,4,7,8,1,2,6,5] => 0001001 => 1
[3,6,7,8,1,4,5,2] => 0001001 => 1
[3,6,2,8,1,5,4,7] => 0101010 => 3
[2,3,6,8,5,1,4,7] => 0001100 => 1
[3,1,6,4,8,2,5,7] => 1010100 => 3
[7,3,2,6,8,5,1,4] => 1100110 => 2
[7,3,5,8,4,6,1,2] => 1001010 => 3
[7,5,2,8,4,1,6,3] => 1101101 => 2
[7,4,5,8,2,1,3,6] => 1001100 => 2
[1,8,5,2,4,6,3,7] => 0110010 => 2
[1,8,4,2,3,5,7,6] => 0110001 => 1
[6,4,2,8,3,5,1,7] => 1101010 => 3
[6,3,4,8,2,5,7,1] => 1001001 => 2
[7,5,4,8,3,6,2,1] => 1101011 => 2
[2,7,4,8,5,3,6,1] => 0101101 => 2
[7,1,5,4,8,3,6,2] => 1010101 => 3
[7,3,2,5,8,4,6,1] => 1100101 => 2
[8,4,6,3,7,2,5,1] => 1010101 => 3
[7,4,6,3,8,5,1,2] => 1010110 => 3
[2,5,6,8,3,4,1,7] => 0001010 => 2
[8,4,6,2,7,5,3,1] => 1010111 => 2
[8,5,6,7,2,4,3,1] => 1001011 => 2
[2,5,6,8,4,3,1,7] => 0001110 => 1
[2,5,7,8,4,1,3,6] => 0001100 => 1
[6,5,7,8,4,1,3,2] => 1001101 => 2
[7,5,6,8,2,4,1,3] => 1001010 => 3
[7,4,6,2,8,5,1,3] => 1010110 => 3
[4,3,2,6,8,5,1,7] => 1100110 => 2
[3,5,6,8,2,4,1,7] => 0001010 => 2
[3,5,6,8,4,2,1,7] => 0001110 => 1
[2,6,7,8,1,4,5,3] => 0001001 => 1
[3,6,7,8,1,4,2,5] => 0001010 => 2
[3,5,7,8,2,1,4,6] => 0001100 => 1
[2,6,7,8,1,4,3,5] => 0001010 => 2
[6,5,7,8,3,1,4,2] => 1001101 => 2
[2,5,7,8,3,1,4,6] => 0001100 => 1
[2,4,7,3,8,1,5,6] => 0010100 => 2
[6,4,7,3,8,1,5,2] => 1010101 => 3
[6,4,7,3,8,1,2,5] => 1010100 => 3
[7,4,6,3,8,2,1,5] => 1010110 => 3
[6,3,2,5,4,8,1,7] => 1101010 => 3
[6,4,5,2,3,8,1,7] => 1010010 => 3
[6,4,5,3,2,8,1,7] => 1011010 => 3
[5,4,6,3,8,2,1,7] => 1010110 => 3
[5,4,7,3,8,1,6,2] => 1010101 => 3
[2,5,7,8,3,1,6,4] => 0001101 => 1
[4,5,7,8,3,1,2,6] => 0001100 => 1
[4,5,6,8,2,3,1,7] => 0001010 => 2
[5,4,6,2,8,3,1,7] => 1010110 => 3
[5,3,2,6,8,4,1,7] => 1100110 => 2
[5,4,7,2,8,1,3,6] => 1010100 => 3
[4,5,7,8,2,1,3,6] => 0001100 => 1
[4,6,7,8,1,3,2,5] => 0001010 => 2
[4,6,7,8,1,3,5,2] => 0001001 => 1
[2,6,7,8,1,3,5,4] => 0001001 => 1
[2,6,7,8,1,5,3,4] => 0001010 => 2
[4,6,7,8,1,5,2,3] => 0001010 => 2
[4,6,7,8,1,2,5,3] => 0001001 => 1
[4,5,7,8,2,1,6,3] => 0001101 => 1
[5,4,7,2,8,1,6,3] => 1010101 => 3
[5,3,2,7,8,1,6,4] => 1100101 => 2
[4,3,2,7,8,1,6,5] => 1100101 => 2
[3,5,7,8,2,1,6,4] => 0001101 => 1
[3,6,7,8,1,2,5,4] => 0001001 => 1
[3,6,7,8,1,5,2,4] => 0001010 => 2
[3,6,7,8,1,5,4,2] => 0001011 => 1
[2,6,7,8,1,5,4,3] => 0001011 => 1
[2,3,4,5,6,7,8,9,10,1,11] => 0000000010 => 1
[3,4,5,6,7,8,9,1,2,10] => 000000100 => 1
[2,4,5,6,7,8,1,3,9] => 00000100 => 1
[3,4,5,6,7,1,8,2,9] => 00001010 => 2
[1,3,5,6,7,8,9,2,4] => 00000010 => 1
[1,4,5,6,7,8,2,9,3] => 00000101 => 1
[1,4,5,6,7,8,9,10,2,3] => 000000010 => 1
[1,3,4,5,6,7,8,9,10,11,2] => 0000000001 => 0
[4,2,7,1,5,3,8,6] => 1010101 => 3
[4,2,8,6,1,5,3,7] => 1011010 => 3
[3,2,6,7,5,1,4,8] => 1001100 => 2
[2,7,1,3,5,4,8,6] => 0100101 => 2
[4,7,2,1,5,8,6,3] => 0110011 => 1
[7,2,1,3,5,8,6,4] => 1100011 => 1
[2,3,6,4,7,1,5,8] => 0010100 => 2
[1,3,4,8,2,7,5,6] => 0001010 => 2
[3,1,4,8,2,6,7,5] => 1001001 => 2
[8,3,1,6,2,5,7,4] => 1101001 => 2
[4,8,6,2,1,5,7,3] => 0111001 => 1
[4,8,3,6,5,1,7,2] => 0101101 => 2
[6,4,7,3,5,1,8,2] => 1010101 => 3
[6,4,7,5,1,8,2,3] => 1011010 => 3
[3,6,1,7,5,8,2,4] => 0101010 => 3
[7,3,5,1,6,8,2,4] => 1010010 => 3
[4,7,3,5,6,1,8,2] => 0100101 => 2
[3,4,6,8,5,1,7,2] => 0001101 => 1
[4,6,8,2,1,5,7,3] => 0011001 => 1
[6,8,2,1,3,5,7,4] => 0110001 => 1
[1,8,2,3,5,7,4,6] => 0100010 => 2
[2,7,3,6,1,4,5,8] => 0101000 => 2
[2,6,1,3,5,8,4,7] => 0100010 => 2
[7,3,2,5,6,1,4,8] => 1100100 => 2
[4,7,5,2,6,1,3,8] => 0110100 => 2
[4,6,2,8,1,5,3,7] => 0101010 => 3
[8,4,1,2,7,5,3,6] => 1100110 => 2
[4,5,6,2,7,1,3,8] => 0010100 => 2
[8,5,1,2,6,3,4,7] => 1100100 => 2
[1,6,2,7,4,8,3,5] => 0101010 => 3
[6,2,1,7,8,5,3,4] => 1100110 => 2
[6,7,3,8,4,1,5,2] => 0101101 => 2
[2,7,8,4,1,5,6,3] => 0011001 => 1
[2,7,1,8,5,6,3,4] => 0101010 => 3
[8,2,5,1,6,7,3,4] => 1010010 => 3
[8,2,4,5,1,6,7,3] => 1001001 => 2
[3,8,4,5,6,1,7,2] => 0100101 => 2
[4,5,8,3,6,7,1,2] => 0010010 => 2
[4,5,8,3,7,6,1,2] => 0010110 => 2
[4,2,8,3,7,1,6,5] => 1010101 => 3
[7,2,3,4,8,1,6,5] => 1000101 => 2
[7,2,3,4,8,1,5,6] => 1000100 => 2
[7,6,3,4,8,5,1,2] => 1100110 => 2
[7,6,3,5,8,4,1,2] => 1100110 => 2
[7,6,3,8,4,5,1,2] => 1101010 => 3
[7,2,3,8,5,1,4,6] => 1001100 => 2
[7,2,3,8,5,1,6,4] => 1001101 => 2
[2,6,4,8,1,5,7,3] => 0101001 => 2
[7,2,3,8,4,1,5,6] => 1001100 => 2
[7,2,3,5,8,1,4,6] => 1000100 => 2
[7,8,2,3,6,1,4,5] => 0100100 => 2
[7,8,2,3,6,1,5,4] => 0100101 => 2
[4,2,6,3,7,1,5,8] => 1010100 => 3
[7,2,3,5,8,1,6,4] => 1000101 => 2
[7,2,3,8,4,1,6,5] => 1001101 => 2
[2,6,4,8,1,3,7,5] => 0101001 => 2
[3,6,4,8,1,7,5,2] => 0101011 => 2
[7,6,5,1,2,3,8,4] => 1110001 => 1
[7,6,5,1,4,2,8,3] => 1110101 => 2
[2,6,4,5,1,8,7,3] => 0101011 => 2
[3,5,6,4,1,2,7,8] => 0011000 => 1
[7,8,5,4,1,2,6,3] => 0111001 => 1
[3,5,6,4,1,2,8,7] => 0011001 => 1
[7,6,5,1,4,2,3,8] => 1110100 => 2
[7,6,5,1,2,4,3,8] => 1110010 => 2
[7,6,5,1,2,4,8,3] => 1110001 => 1
[7,6,5,1,3,2,8,4] => 1110101 => 2
[7,6,5,1,3,2,4,8] => 1110100 => 2
[7,6,5,1,3,4,2,8] => 1110010 => 2
[7,2,3,4,5,1,8,6] => 1000101 => 2
[2,6,4,3,1,5,8,7] => 0111001 => 1
[2,6,4,3,1,8,5,7] => 0111010 => 2
[2,6,4,3,1,8,7,5] => 0111011 => 1
[3,5,8,4,1,2,7,6] => 0011001 => 1
[3,5,8,4,1,2,6,7] => 0011000 => 1
[3,5,8,4,1,6,2,7] => 0011010 => 2
[4,2,8,3,6,1,7,5] => 1010101 => 3
[3,5,8,4,1,6,7,2] => 0011001 => 1
[2,5,8,4,1,7,3,6] => 0011010 => 2
[3,6,4,2,1,7,8,5] => 0111001 => 1
[3,6,4,2,1,7,5,8] => 0111010 => 2
[3,5,6,4,1,8,7,2] => 0011011 => 1
[2,6,4,5,1,3,7,8] => 0101000 => 2
[7,6,5,1,4,3,8,2] => 1110101 => 2
[7,6,5,1,2,8,4,3] => 1110011 => 1
[7,6,5,1,2,8,3,4] => 1110010 => 2
[7,6,5,1,8,2,4,3] => 1110101 => 2
[7,6,5,1,8,2,3,4] => 1110100 => 2
[7,6,5,1,8,3,2,4] => 1110110 => 2
[7,6,5,1,4,8,2,3] => 1110010 => 2
[3,6,4,5,1,7,2,8] => 0101010 => 3
[2,5,6,4,1,7,8,3] => 0011001 => 1
[7,8,5,4,1,6,3,2] => 0111011 => 1
[2,5,6,4,1,7,3,8] => 0011010 => 2
[3,6,4,5,1,7,8,2] => 0101001 => 2
[7,6,5,1,4,8,3,2] => 1110011 => 1
[7,6,5,1,8,3,4,2] => 1110101 => 2
[7,6,5,1,8,4,2,3] => 1110110 => 2
[4,1,7,6,2,8,5,3] => 1011011 => 2
[7,8,6,2,1,3,5,4] => 0111001 => 1
[3,7,6,1,2,8,4,5] => 0110010 => 2
[2,6,5,3,1,4,8,7] => 0111001 => 1
[4,6,1,5,3,2,8,7] => 0101101 => 2
[3,6,1,4,2,5,8,7] => 0101001 => 2
[2,6,4,5,7,8,1,3] => 0100010 => 2
[8,7,1,6,5,2,4,3] => 1101101 => 2
[7,2,5,6,8,1,3,4] => 1000100 => 2
[6,1,3,4,2,8,7,5] => 1001011 => 2
[2,4,5,6,1,8,7,3] => 0001011 => 1
[8,4,1,6,5,7,3,2] => 1101011 => 2
[2,8,3,4,7,5,1,6] => 0100110 => 2
[6,8,2,7,4,3,5,1] => 0101101 => 2
[4,7,8,5,1,6,3,2] => 0011011 => 1
[8,2,6,4,7,3,5,1] => 1010101 => 3
[4,8,6,1,7,3,2,5] => 0110110 => 2
[8,7,3,2,1,5,4,6] => 1111010 => 2
[3,8,5,1,7,2,4,6] => 0110100 => 2
[6,8,7,1,3,2,4,5] => 0110100 => 2
[2,5,1,8,7,4,6,3] => 0101101 => 2
[3,7,1,8,4,5,6,2] => 0101001 => 2
[6,2,3,8,4,7,5,1] => 1001011 => 2
[8,6,4,3,1,7,2,5] => 1111010 => 2
[8,3,7,4,6,1,2,5] => 1010100 => 3
[7,1,3,8,6,4,5,2] => 1001101 => 2
[2,3,5,8,6,7,4,1] => 0001011 => 1
[7,4,2,1,8,6,5,3] => 1110111 => 1
[4,6,7,2,5,8,3,1] => 0010011 => 1
[7,6,2,5,3,8,1,4] => 1101010 => 3
[6,2,1,3,4,8,7,5] => 1100011 => 1
[6,5,4,2,8,3,1,7] => 1110110 => 2
[5,4,3,1,8,7,2,6] => 1110110 => 2
[6,1,4,3,8,5,2,7] => 1010110 => 3
[4,7,6,2,8,1,5,3] => 0110101 => 2
[6,4,5,1,7,8,3,2] => 1010011 => 2
[4,2,3,1,7,8,6,5] => 1010011 => 2
[3,4,2,1,8,6,7,5] => 0110101 => 2
[2,7,6,8,1,5,3,4] => 0101010 => 3
[6,4,5,8,3,1,2,7] => 1001100 => 2
[8,1,3,2,5,6,7,4] => 1010001 => 2
[3,6,8,1,5,2,4,7] => 0010100 => 2
[3,2,8,7,4,5,1,6] => 1011010 => 3
[6,3,8,5,7,4,2,1] => 1010111 => 2
[7,4,6,8,5,1,2,3] => 1001100 => 2
[2,1,4,8,7,5,3,6] => 1001110 => 2
[2,1,6,8,3,7,5,4] => 1001011 => 2
[3,6,8,2,4,1,5,7] => 0010100 => 2
[6,2,8,1,7,5,4,3] => 1010111 => 2
[2,6,5,4,8,1,3,7] => 0110100 => 2
[6,5,3,4,8,1,7,2] => 1100101 => 2
[8,4,3,2,5,1,7,6] => 1110101 => 2
[4,2,8,1,5,3,6,7] => 1010100 => 3
[5,1,8,2,6,4,3,7] => 1010110 => 3
[7,4,8,6,2,1,3,5] => 1011100 => 2
[4,6,2,8,3,7,5,1] => 0101011 => 2
[2,1,5,8,3,6,4,7] => 1001010 => 3
[2,8,5,3,6,7,1,4] => 0110010 => 2
[7,8,5,6,4,1,3,2] => 0101101 => 2
[5,8,4,1,6,3,7,2] => 0110101 => 2
[4,8,1,3,5,7,6,2] => 0100011 => 1
[3,8,1,4,5,6,2,7] => 0100010 => 2
[9,7,8,5,6,3,1,4,2] => 10101101 => 3
[9,7,8,5,3,6,1,4,2] => 10110101 => 3
[9,7,5,8,3,6,1,4,2] => 11010101 => 3
[7,9,5,8,3,6,1,4,2] => 01010101 => 3
[7,6,8,3,5,1,4,2] => 1010101 => 3
[8,9,5,7,3,6,1,4,2] => 01010101 => 3
[8,9,6,7,3,5,1,4,2] => 01010101 => 3
[8,9,6,7,4,5,1,3,2] => 01010101 => 3
[8,9,6,7,4,5,2,3,1] => 01010101 => 3
[9,10,7,8,5,6,3,1,4,2] => 010101101 => 3
[9,7,8,5,3,1,6,4,2] => 10111011 => 2
[9,10,7,8,5,3,6,1,4,2] => 010110101 => 3
[9,7,5,3,8,6,1,4,2] => 11101101 => 2
[9,10,7,5,8,3,6,1,4,2] => 011010101 => 3
[7,5,9,8,3,6,1,4,2] => 10110101 => 3
[9,7,10,5,8,3,6,1,4,2] => 101010101 => 4
[7,8,6,3,5,1,4,2] => 0110101 => 2
[5,3,8,7,6,1,4,2] => 1011101 => 2
[9,8,5,7,3,6,1,4,2] => 11010101 => 3
[10,7,9,5,8,3,6,1,4,2] => 101010101 => 4
[7,9,6,8,3,5,1,4,2] => 01010101 => 3
[10,8,9,5,7,3,6,1,4,2] => 101010101 => 4
[6,5,8,4,7,1,3,2] => 1010101 => 3
[8,9,5,7,4,6,1,3,2] => 01010101 => 3
[10,8,9,6,7,3,5,1,4,2] => 101010101 => 4
[8,9,6,7,3,5,2,4,1] => 01010101 => 3
[10,8,9,6,7,4,5,1,3,2] => 101010101 => 4
[6,7,4,2,5,3,1,8] => 0110110 => 2
[7,6,4,8,3,1,5,2] => 1101101 => 2
[7,4,8,5,6,1,3,2] => 1010101 => 3
[7,4,2,5,6,3,1,8] => 1100110 => 2
[4,2,7,5,6,3,1,8] => 1010110 => 3
[3,4,7,5,6,2,1,8] => 0010110 => 2
[4,7,3,5,6,2,1,8] => 0100110 => 2
[3,7,2,5,6,4,1,8] => 0100110 => 2
[7,8,3,5,6,1,4,2] => 0100101 => 2
[1,6,8,5,2,7,4,3] => 0011011 => 1
[6,2,8,5,1,7,4,3] => 1011011 => 2
[6,7,4,8,2,1,5,3] => 0101101 => 2
[3,2,7,8,6,1,5,4] => 1001101 => 2
[6,8,4,1,2,3,7,5] => 0110001 => 1
[4,1,8,5,6,3,2,7] => 1010110 => 3
[1,8,2,5,6,4,3,7] => 0100110 => 2
[6,1,8,5,3,7,4,2] => 1011011 => 2
[3,8,1,5,2,7,6,4] => 0101011 => 2
[8,2,1,5,3,7,6,4] => 1101011 => 2
[1,5,2,4,6,7,8,3] => 0100001 => 1
[4,1,5,3,6,7,8,2] => 1010001 => 2
[8,1,6,5,3,7,2,4] => 1011010 => 3
[7,1,4,6,3,2,8,5] => 1001101 => 2
[3,2,6,4,1,7,8,5] => 1011001 => 2
[7,6,4,3,1,2,8,5] => 1111001 => 1
[8,6,3,5,1,7,2,4] => 1101010 => 3
[4,5,3,1,6,7,8,2] => 0110001 => 1
[3,5,2,1,6,7,8,4] => 0110001 => 1
[5,2,3,1,6,7,8,4] => 1010001 => 2
[1,5,3,2,6,7,8,4] => 0110001 => 1
[8,4,6,5,1,7,2,3] => 1011010 => 3
[7,5,4,6,1,2,8,3] => 1101001 => 2
[3,2,5,6,1,7,8,4] => 1001001 => 2
[3,2,8,7,6,1,4,5] => 1011100 => 2
[6,8,4,7,2,1,3,5] => 0101100 => 2
[3,8,7,5,6,1,2,4] => 0110100 => 2
[8,2,7,5,6,1,3,4] => 1010100 => 3
[4,8,6,5,1,7,3,2] => 0111011 => 1
[1,7,4,6,2,3,8,5] => 0101001 => 2
[7,6,4,2,1,5,8,3] => 1111001 => 1
[5,7,4,6,1,3,8,2] => 0101001 => 2
[8,6,4,7,3,1,2,5] => 1101100 => 2
[5,2,4,3,7,1,8,6] => 1010101 => 3
[3,5,4,2,7,1,8,6] => 0110101 => 2
[8,6,4,1,3,5,2,7] => 1110010 => 2
[6,7,4,1,5,3,8,2] => 0110101 => 2
[7,5,4,1,2,6,8,3] => 1110001 => 1
[1,7,4,2,3,6,8,5] => 0110001 => 1
[1,8,2,5,3,7,6,4] => 0101011 => 2
[6,8,1,5,4,7,3,2] => 0101011 => 2
[8,2,1,5,6,4,3,7] => 1100110 => 2
[3,8,1,5,6,4,2,7] => 0100110 => 2
[6,8,4,1,2,5,3,7] => 0110010 => 2
[3,2,8,1,6,5,4,7] => 1010110 => 3
[3,2,6,1,5,7,8,4] => 1010001 => 2
[7,6,4,1,5,2,8,3] => 1110101 => 2
[8,6,1,5,4,7,2,3] => 1101010 => 3
[3,5,1,4,6,7,8,2] => 0100001 => 1
[5,2,1,4,6,7,8,3] => 1100001 => 1
[5,4,1,3,6,7,8,2] => 1100001 => 1
[8,4,1,5,3,7,2,6] => 1101010 => 3
[7,5,4,1,3,2,8,6] => 1110101 => 2
[3,2,5,1,4,7,8,6] => 1010001 => 2
[7,1,4,3,5,2,8,6] => 1010101 => 3
[8,1,3,5,4,7,2,6] => 1001010 => 3
[5,1,3,4,6,7,8,2] => 1000001 => 1
[3,1,8,2,5,7,4,6] => 1010010 => 3
[8,3,2,6,1,4,7,5] => 1101001 => 2
[2,8,1,6,4,3,7,5] => 0101101 => 2
[2,6,1,3,8,7,5,4] => 0100111 => 1
[2,5,7,1,3,8,6,4] => 0010011 => 1
[2,6,8,1,5,7,4,3] => 0010011 => 1
[2,7,1,5,8,4,6,3] => 0100101 => 2
[2,7,1,6,4,8,3,5] => 0101010 => 3
[2,7,1,6,5,3,8,4] => 0101101 => 2
[2,8,1,7,6,5,4,3] => 0101111 => 1
[8,3,2,7,1,6,5,4] => 1101011 => 2
[4,1,8,7,3,2,6,5] => 1011101 => 2
[4,1,7,2,8,6,5,3] => 1010111 => 2
[3,7,1,8,6,5,4,2] => 0101111 => 1
[3,7,6,1,4,2,5,8] => 0110100 => 2
[3,7,5,1,4,6,8,2] => 0110001 => 1
[3,6,8,5,1,4,7,2] => 0011001 => 1
[7,3,5,8,2,1,4,6] => 1001100 => 2
[7,3,6,2,1,4,5,8] => 1011000 => 2
[7,3,6,2,1,5,4,8] => 1011010 => 3
[7,4,2,8,1,6,5,3] => 1101011 => 2
[8,7,5,3,2,1,6,4] => 1111101 => 1
[7,5,2,6,3,1,4,8] => 1101100 => 2
[7,4,6,2,1,8,3,5] => 1011010 => 3
[6,8,4,5,2,1,7,3] => 0101101 => 2
[4,6,8,5,1,7,3,2] => 0011011 => 1
[4,7,5,1,3,8,6,2] => 0110011 => 1
[4,7,6,1,5,3,2,8] => 0110110 => 2
[5,1,7,6,3,8,2,4] => 1011010 => 3
[5,1,7,6,4,2,8,3] => 1011101 => 2
[5,1,8,7,6,4,3,2] => 1011111 => 1
[8,5,2,1,7,6,4,3] => 1110111 => 1
[8,5,2,1,6,3,7,4] => 1110101 => 2
[5,1,8,6,3,2,7,4] => 1011101 => 2
[3,6,1,7,4,8,2,5] => 0101010 => 3
[4,1,8,6,3,7,2,5] => 1011010 => 3
[8,4,2,5,7,3,1,6] => 1100110 => 2
[3,4,6,8,5,7,1,2] => 0001010 => 2
[5,4,8,2,7,3,6,1] => 1010101 => 3
[5,4,8,7,3,6,1,2] => 1011010 => 3
[8,5,4,7,3,6,2,1] => 1101011 => 2
[6,4,3,8,7,1,2,5] => 1101100 => 2
[6,3,7,2,4,8,1,5] => 1010010 => 3
[5,6,8,4,2,7,3,1] => 0011011 => 1
[5,7,4,2,8,1,3,6] => 0110100 => 2
[6,5,2,7,1,3,8,4] => 1101001 => 2
[8,6,5,4,2,1,7,3] => 1111101 => 1
[6,4,7,3,1,8,2,5] => 1011010 => 3
[5,7,4,3,8,6,1,2] => 0110110 => 2
[7,5,8,4,6,3,2,1] => 1010111 => 2
[7,6,4,8,3,5,2,1] => 1101011 => 2
[7,6,5,3,8,2,4,1] => 1110101 => 2
[6,5,4,3,2,1,9,8,7] => 11111011 => 1
[6,5,4,3,2,1,8,7,9] => 11111010 => 2
[5,4,3,2,1,9,8,7,6] => 11110111 => 1
[5,4,3,2,1,8,7,6,9] => 11110110 => 2
[5,4,3,2,1,7,6,9,8] => 11110101 => 2
[5,4,3,2,1,7,6,8,9] => 11110100 => 2
[4,3,2,1,8,7,6,5,9] => 11101110 => 2
[4,3,2,1,7,6,5,9,8] => 11101101 => 2
[4,3,2,1,7,6,5,8,9] => 11101100 => 2
[4,3,2,1,6,5,8,7,9] => 11101010 => 3
[4,3,2,1,6,5,7,8,9] => 11101000 => 2
[3,2,1,6,5,4,8,7,9] => 11011010 => 3
[3,2,1,6,5,4,7,8,9] => 11011000 => 2
[3,2,1,5,4,7,6,9,8] => 11010101 => 3
[3,2,1,5,4,7,6,8,9] => 11010100 => 3
[3,2,1,5,4,6,7,8,9] => 11010000 => 2
[2,1,4,3,6,5,7,8,9] => 10101000 => 3
[2,1,4,3,5,6,7,8,9] => 10100000 => 2
[7,6,5,4,3,2,1,10,9,8] => 111111011 => 1
[7,6,5,4,3,2,1,9,8,10] => 111111010 => 2
[6,5,4,3,2,1,9,8,7,10] => 111110110 => 2
[6,5,4,3,2,1,8,7,9,10] => 111110100 => 2
[5,4,3,2,1,9,8,7,6,10] => 111101110 => 2
[5,4,3,2,1,8,7,6,10,9] => 111101101 => 2
[5,4,3,2,1,8,7,6,9,10] => 111101100 => 2
[5,4,3,2,1,7,6,9,8,10] => 111101010 => 3
[5,4,3,2,1,7,6,8,9,10] => 111101000 => 2
[4,3,2,1,8,7,6,5,9,10] => 111011100 => 2
[4,3,2,1,7,6,5,10,9,8] => 111011011 => 2
[4,3,2,1,7,6,5,8,9,10] => 111011000 => 2
[4,3,2,1,6,5,8,7,9,10] => 111010100 => 3
[4,3,2,1,6,5,7,8,9,10] => 111010000 => 2
[3,2,1,6,5,4,9,8,7,10] => 110110110 => 3
[3,2,1,6,5,4,8,7,10,9] => 110110101 => 3
[3,2,1,6,5,4,8,7,9,10] => 110110100 => 3
[3,2,1,6,5,4,7,8,9,10] => 110110000 => 2
[3,2,1,5,4,7,6,9,8,10] => 110101010 => 4
[3,2,1,5,4,7,6,8,9,10] => 110101000 => 3
[3,2,1,5,4,6,7,8,9,10] => 110100000 => 2
[2,1,4,3,6,5,8,7,9,10] => 101010100 => 4
[2,1,4,3,6,5,7,8,9,10] => 101010000 => 3
[2,1,4,3,5,6,7,8,9,10] => 101000000 => 2
[5,6,3,7,4,2,1,8] => 0101110 => 2
[7,6,3,8,5,1,4,2] => 1101101 => 2
[6,4,8,1,3,2,5,7] => 1010100 => 3
[7,4,8,6,3,1,5,2] => 1011101 => 2
[4,2,7,6,5,3,1,8] => 1011110 => 2
[3,7,2,4,6,5,1,8] => 0100110 => 2
[8,1,3,4,5,2,6,7] => 1000100 => 2
[1,6,8,4,2,5,3,7] => 0011010 => 2
[6,2,8,4,1,5,7,3] => 1011001 => 2
[6,7,4,8,5,1,2,3] => 0101100 => 2
[3,2,7,8,5,1,6,4] => 1001101 => 2
[3,2,8,1,5,4,6,7] => 1010100 => 3
[6,1,4,8,5,3,7,2] => 1001101 => 2
[1,4,8,5,2,6,7,3] => 0011001 => 1
[6,1,8,4,3,7,2,5] => 1011010 => 3
[3,7,1,4,2,5,8,6] => 0101001 => 2
[7,2,1,4,3,5,6,8] => 1101000 => 2
[4,1,5,3,6,8,2,7] => 1010010 => 3
[6,1,8,5,3,2,7,4] => 1011101 => 2
[7,1,4,6,3,8,5,2] => 1001011 => 2
[3,2,6,4,1,8,7,5] => 1011011 => 2
[7,6,4,3,1,8,2,5] => 1111010 => 2
[3,5,2,1,8,7,6,4] => 0110111 => 1
[1,5,3,2,8,6,4,7] => 0110110 => 2
[5,4,2,1,7,8,6,3] => 1110011 => 1
[8,2,7,6,5,1,3,4] => 1011100 => 2
[8,6,2,7,1,4,5,3] => 1101001 => 2
[1,7,3,6,2,8,5,4] => 0101011 => 2
[7,6,3,2,1,8,5,4] => 1111011 => 1
[8,6,3,7,4,1,2,5] => 1101100 => 2
[5,2,3,4,7,1,8,6] => 1000101 => 2
[8,6,3,1,4,5,7,2] => 1110001 => 1
[6,7,3,1,5,4,2,8] => 0110110 => 2
[5,8,3,1,2,4,7,6] => 0110001 => 1
[8,1,3,2,4,5,6,7] => 1010000 => 2
[8,4,1,7,2,3,6,5] => 1101001 => 2
[8,2,1,6,5,4,7,3] => 1101101 => 2
[3,8,1,5,6,4,7,2] => 0100101 => 2
[6,8,4,1,2,5,7,3] => 0110001 => 1
[3,2,8,1,6,5,7,4] => 1010101 => 3
[7,6,4,1,5,2,3,8] => 1110100 => 2
[8,6,1,5,4,7,3,2] => 1101011 => 2
[3,5,1,4,6,7,2,8] => 0100010 => 2
[5,2,1,4,7,6,3,8] => 1100110 => 2
[4,5,8,2,1,3,7,6] => 0011001 => 1
[5,8,2,3,1,4,6,7] => 0101000 => 2
[4,2,1,3,5,8,7,6] => 1100011 => 1
[5,4,1,3,6,2,8,7] => 1100101 => 2
[8,5,4,1,3,6,2,7] => 1110010 => 2
[3,2,5,1,4,6,8,7] => 1010001 => 2
[8,1,4,3,5,6,7,2] => 1010001 => 2
[7,1,3,5,4,6,2,8] => 1001010 => 3
[5,1,3,4,6,2,7,8] => 1000100 => 2
[4,1,3,2,5,7,6,8] => 1010010 => 3
[3,1,4,2,6,5,8,7,9] => 10101010 => 4
[3,1,5,2,6,4,8,7,9] => 10101010 => 4
[3,1,5,2,7,4,8,6,9] => 10101010 => 4
[3,1,5,2,7,4,6,9,8] => 10101001 => 3
[3,1,5,2,4,7,6,9,8] => 10100101 => 3
[3,1,2,5,4,7,6,9,8] => 10010101 => 3
[3,1,4,2,6,5,8,7,10,9] => 101010101 => 4
[4,1,5,2,6,3,8,7,9] => 10101010 => 4
[3,1,5,2,6,4,8,7,10,9] => 101010101 => 4
[3,1,6,2,7,4,8,5,9] => 10101010 => 4
[3,1,5,2,7,4,8,6,10,9] => 101010101 => 4
[3,1,5,2,8,4,9,6,7] => 10101010 => 4
[3,1,5,2,7,4,9,6,10,8] => 101010101 => 4
[3,1,5,2,7,4,6,8,9] => 10101000 => 3
[3,1,5,2,7,4,9,6,8,10] => 101010100 => 4
[3,1,5,2,4,7,9,6,8] => 10100010 => 3
[3,1,5,2,7,4,6,9,8,10] => 101010010 => 4
[3,1,2,5,7,4,6,9,8] => 10001001 => 2
[3,1,5,2,4,7,6,9,8,10] => 101001010 => 4
[1,3,5,2,4,7,6,9,8] => 00100101 => 2
[3,1,2,5,4,7,6,9,8,10] => 100101010 => 4
[6,8,2,4,5,1,3,7] => 0100100 => 2
[4,6,7,3,1,5,2,8] => 0011010 => 2
[5,8,1,2,4,7,3,6] => 0100010 => 2
[6,8,1,3,5,2,7,4] => 0100101 => 2
[6,8,3,1,4,5,7,2] => 0110001 => 1
[7,5,1,8,2,3,6,4] => 1101001 => 2
[5,3,8,4,2,6,7,1] => 1011001 => 2
[4,1,8,3,5,7,2,6] => 1010010 => 3
[3,4,7,2,6,1,8,5] => 0010101 => 2
[4,5,7,2,3,6,8,1] => 0010001 => 1
[2,6,3,4,7,5,8,1] => 0100101 => 2
[4,5,2,7,1,6,8,3] => 0101001 => 2
[3,4,1,6,5,8,2,7] => 0101010 => 3
[7,3,1,4,8,5,6,2] => 1100101 => 2
[5,6,3,1,7,4,2,8] => 0110110 => 2
[7,3,4,1,8,5,2,6] => 1010110 => 3
[6,4,2,8,7,1,5,3] => 1101101 => 2
[7,2,4,8,1,5,3,6] => 1001010 => 3
[4,6,3,1,7,8,5,2] => 0110011 => 1
[5,3,1,6,7,8,4,2] => 1100011 => 1
[4,1,6,2,7,8,5,3] => 1010011 => 2
[2,1,3,4,8,7,5,6] => 1000110 => 2
[4,5,6,7,8,9,1,2,3] => 00000100 => 1
[4,5,6,7,8,9,2,3,1] => 00000101 => 1
[5,6,7,8,9,1,2,3,4] => 00001000 => 1
[6,7,8,9,2,3,4,5,1] => 00010001 => 1
[8,9,6,7,5,4,3,2,1] => 01011111 => 1
[4,5,6,7,8,9,10,1,2,3] => 000000100 => 1
[4,5,6,7,8,9,10,2,3,1] => 000000101 => 1
[5,6,7,8,9,10,1,2,3,4] => 000001000 => 1
[5,6,7,8,9,10,3,4,1,2] => 000001010 => 2
[7,8,9,10,3,4,5,6,1,2] => 000100010 => 2
[7,8,9,10,5,6,3,4,1,2] => 000101010 => 3
[8,9,10,5,6,7,2,3,4,1] => 001001001 => 2
[4,8,3,7,6,5,1,2] => 0101110 => 2
[6,3,8,7,5,4,1,2] => 1011110 => 2
[5,3,8,7,6,4,1,2] => 1011110 => 2
[2,8,7,6,1,5,4,3] => 0111011 => 1
[5,2,8,7,6,1,4,3] => 1011101 => 2
[6,2,8,7,5,1,4,3] => 1011101 => 2
[7,8,2,6,5,1,4,3] => 0101101 => 2
[6,1,8,7,5,4,3,2] => 1011111 => 1
[3,1,8,7,6,5,4,2] => 1011111 => 1
[7,8,2,6,1,5,4,3] => 0101011 => 2
[6,2,8,7,1,5,4,3] => 1011011 => 2
[4,2,8,1,7,6,5,3] => 1010111 => 2
[4,8,2,7,6,1,5,3] => 0101101 => 2
[3,8,7,2,1,6,5,4] => 0111011 => 1
[6,5,8,7,1,4,3,2] => 1011011 => 2
[4,8,1,7,6,5,3,2] => 0101111 => 1
[5,4,1,8,7,6,3,2] => 1101111 => 1
[6,4,8,1,7,5,3,2] => 1010111 => 2
[7,8,4,1,6,5,3,2] => 0110111 => 1
[7,8,3,1,6,5,4,2] => 0110111 => 1
[6,3,8,1,7,5,4,2] => 1010111 => 2
[5,3,1,8,7,6,4,2] => 1101111 => 1
[7,8,2,1,6,5,4,3] => 0110111 => 1
[6,5,3,1,8,7,4,2] => 1110111 => 1
[6,4,3,1,8,7,5,2] => 1110111 => 1
[5,4,3,1,8,7,6,2] => 1110111 => 1
[7,5,2,1,8,6,4,3] => 1110111 => 1
[5,4,2,1,8,7,6,3] => 1110111 => 1
[7,3,2,1,8,6,5,4] => 1110111 => 1
[6,3,2,1,8,7,5,4] => 1110111 => 1
[9,7,5,3,1,10,8,6,4,2] => 111101111 => 1
[8,7,5,3,1,10,9,6,4,2] => 111101111 => 1
[9,6,5,3,1,10,8,7,4,2] => 111101111 => 1
[8,6,5,3,1,10,9,7,4,2] => 111101111 => 1
[7,6,5,3,1,10,9,8,4,2] => 111101111 => 1
[9,7,4,3,1,10,8,6,5,2] => 111101111 => 1
[8,7,4,3,1,10,9,6,5,2] => 111101111 => 1
[9,6,4,3,1,10,8,7,5,2] => 111101111 => 1
[8,6,4,3,1,10,9,7,5,2] => 111101111 => 1
[7,6,4,3,1,10,9,8,5,2] => 111101111 => 1
[9,5,4,3,1,10,8,7,6,2] => 111101111 => 1
[8,5,4,3,1,10,9,7,6,2] => 111101111 => 1
[7,5,4,3,1,10,9,8,6,2] => 111101111 => 1
[6,5,4,3,1,10,9,8,7,2] => 111101111 => 1
[9,7,5,2,1,10,8,6,4,3] => 111101111 => 1
[8,7,5,2,1,10,9,6,4,3] => 111101111 => 1
[9,6,5,2,1,10,8,7,4,3] => 111101111 => 1
[8,6,5,2,1,10,9,7,4,3] => 111101111 => 1
[7,6,5,2,1,10,9,8,4,3] => 111101111 => 1
[9,7,4,2,1,10,8,6,5,3] => 111101111 => 1
[8,7,4,2,1,10,9,6,5,3] => 111101111 => 1
[9,6,4,2,1,10,8,7,5,3] => 111101111 => 1
[8,6,4,2,1,10,9,7,5,3] => 111101111 => 1
[7,6,4,2,1,10,9,8,5,3] => 111101111 => 1
[9,5,4,2,1,10,8,7,6,3] => 111101111 => 1
[8,5,4,2,1,10,9,7,6,3] => 111101111 => 1
[7,5,4,2,1,10,9,8,6,3] => 111101111 => 1
[6,5,4,2,1,10,9,8,7,3] => 111101111 => 1
[9,7,3,2,1,10,8,6,5,4] => 111101111 => 1
[8,7,3,2,1,10,9,6,5,4] => 111101111 => 1
[9,6,3,2,1,10,8,7,5,4] => 111101111 => 1
[8,6,3,2,1,10,9,7,5,4] => 111101111 => 1
[7,6,3,2,1,10,9,8,5,4] => 111101111 => 1
[9,5,3,2,1,10,8,7,6,4] => 111101111 => 1
[8,5,3,2,1,10,9,7,6,4] => 111101111 => 1
[7,5,3,2,1,10,9,8,6,4] => 111101111 => 1
[6,5,3,2,1,10,9,8,7,4] => 111101111 => 1
[9,4,3,2,1,10,8,7,6,5] => 111101111 => 1
[8,4,3,2,1,10,9,7,6,5] => 111101111 => 1
[7,4,3,2,1,10,9,8,6,5] => 111101111 => 1
[6,4,3,2,1,10,9,8,7,5] => 111101111 => 1
[6,1,4,2,3,5,8,7] => 1010001 => 2
[8,6,1,4,2,3,5,7] => 1101000 => 2
[6,8,1,4,2,3,5,7] => 0101000 => 2
[8,1,4,2,3,6,5,7] => 1010010 => 3
[4,1,8,2,3,6,5,7] => 1010010 => 3
[8,2,3,6,1,4,5,7] => 1001000 => 2
[6,2,3,8,1,4,5,7] => 1001000 => 2
[4,6,2,3,8,1,5,7] => 0100100 => 2
[4,8,2,3,6,1,5,7] => 0100100 => 2
[8,2,3,6,4,1,5,7] => 1001100 => 2
[8,4,3,6,2,1,5,7] => 1101100 => 2
[6,2,3,8,4,1,5,7] => 1001100 => 2
[8,4,2,3,6,1,5,7] => 1100100 => 2
[6,4,2,3,8,1,5,7] => 1100100 => 2
[2,6,4,3,8,1,5,7] => 0110100 => 2
[2,8,4,3,6,1,5,7] => 0110100 => 2
[2,6,3,8,4,1,5,7] => 0101100 => 2
[6,3,8,4,2,1,5,7] => 1011100 => 2
[2,6,3,8,1,4,5,7] => 0101000 => 2
[2,8,3,6,1,4,5,7] => 0101000 => 2
[8,3,6,4,2,1,5,7] => 1011100 => 2
[2,8,3,6,4,1,5,7] => 0101100 => 2
[8,3,6,2,4,1,5,7] => 1010100 => 3
[8,3,6,2,1,4,5,7] => 1011000 => 2
[6,2,1,3,8,4,5,7] => 1100100 => 2
[8,2,1,3,6,4,5,7] => 1100100 => 2
[6,3,8,2,4,1,5,7] => 1010100 => 3
[6,2,4,3,8,1,5,7] => 1010100 => 3
[3,6,4,7,8,5,1,2] => 0100110 => 2
[1,6,4,2,7,5,8,3] => 0110101 => 2
[3,6,4,2,7,1,5,8] => 0110100 => 2
[1,4,7,2,5,6,8,3] => 0010001 => 1
[6,4,8,5,3,7,1,2] => 1011010 => 3
[1,6,5,4,2,7,8,3] => 0111001 => 1
[4,2,5,3,6,1,7,8] => 1010100 => 3
[7,1,5,3,6,2,8,4] => 1010101 => 3
[1,6,5,2,4,8,7,3] => 0110011 => 1
[1,4,6,2,8,5,7,3] => 0010101 => 2
[7,8,1,4,2,5,6,3] => 0101001 => 2
[3,4,8,5,2,1,6,7] => 0011100 => 1
[4,8,5,3,1,6,2,7] => 0111010 => 2
[6,1,3,5,8,2,7,4] => 1000101 => 2
[6,1,8,7,4,2,3,5] => 1011100 => 2
[1,2,8,5,7,3,6,4] => 0010101 => 2
[1,3,6,8,7,5,2,4] => 0001110 => 1
[1,8,2,5,4,7,6,3] => 0101011 => 2
[7,1,2,4,5,8,6,3] => 1000011 => 1
[1,2,7,3,5,8,6,4] => 0010011 => 1
[6,1,3,2,5,7,8,4] => 1010001 => 2
[4,6,2,1,7,5,3,8] => 0110110 => 2
[1,6,3,7,8,5,2,4] => 0100110 => 2
[4,6,2,3,7,8,1,5] => 0100010 => 2
[4,6,3,7,1,2,8,5] => 0101001 => 2
[4,2,1,3,5,7,8,6] => 1100001 => 1
[7,3,2,4,5,1,8,6] => 1100101 => 2
[3,8,2,5,4,1,7,6] => 0101101 => 2
[7,8,4,2,6,3,1,5] => 0110110 => 2
[4,2,6,3,8,7,1,5] => 1010110 => 3
[5,8,2,7,4,3,1,6] => 0101110 => 2
[4,3,8,5,1,7,2,6] => 1011010 => 3
[4,3,6,8,1,2,7,5] => 1001001 => 2
[6,4,3,5,2,8,1,7] => 1101010 => 3
[6,5,3,8,4,2,1,7] => 1101110 => 2
[6,1,7,2,8,3,9,4,10,5] => 101010101 => 4
[6,1,7,8,9,10,2,3,4,5] => 100001000 => 2
[7,1,8,2,9,3,10,4,11,5,12,6] => 10101010101 => 5
[3,8,1,7,5,6,4,2] => 0101011 => 2
[8,2,5,7,3,6,4,1] => 1001011 => 2
[1,8,6,7,5,3,4,2] => 0101101 => 2
[8,2,6,7,5,3,4,1] => 1001101 => 2
[1,5,8,7,2,6,4,3] => 0011011 => 1
[5,4,8,6,2,3,7,1] => 1011001 => 2
[2,7,6,1,3,5,4,8] => 0110010 => 2
[6,4,1,8,2,5,7,3] => 1101001 => 2
[2,8,6,1,3,5,4,7] => 0110010 => 2
[4,1,3,6,5,8,7,2] => 1001011 => 2
[2,1,6,3,5,8,7,4] => 1010011 => 2
[2,4,1,3,8,5,7,6] => 0100101 => 2
[2,4,1,3,5,8,7,6] => 0100011 => 1
[2,6,1,3,5,8,7,4] => 0100011 => 1
[4,6,1,3,5,8,7,2] => 0100011 => 1
[6,1,4,3,5,8,7,2] => 1010011 => 2
[6,4,1,3,5,8,7,2] => 1100011 => 1
[6,2,1,3,5,8,7,4] => 1100011 => 1
[4,2,1,3,6,5,7,8] => 1100100 => 2
[4,2,1,6,3,5,7,8] => 1101000 => 2
[6,2,1,8,3,5,7,4] => 1101001 => 2
[6,2,1,3,8,5,7,4] => 1100101 => 2
[6,1,4,3,8,5,7,2] => 1010101 => 3
[1,6,4,3,8,5,7,2] => 0110101 => 2
[8,1,4,3,6,5,7,2] => 1010101 => 3
[8,4,1,3,6,5,7,2] => 1100101 => 2
[8,2,1,3,6,5,7,4] => 1100101 => 2
[8,2,1,6,3,5,7,4] => 1101001 => 2
[8,2,1,4,3,5,7,6] => 1101001 => 2
[6,2,1,4,3,5,7,8] => 1101000 => 2
[8,2,4,1,3,5,7,6] => 1010001 => 2
[8,2,6,1,3,5,7,4] => 1010001 => 2
[8,4,6,1,3,5,7,2] => 1010001 => 2
[8,4,1,6,3,5,7,2] => 1101001 => 2
[8,1,4,6,3,5,7,2] => 1001001 => 2
[1,8,4,6,3,5,7,2] => 0101001 => 2
[1,6,4,8,3,5,7,2] => 0101001 => 2
[6,4,1,8,3,5,7,2] => 1101001 => 2
[6,4,8,1,3,5,7,2] => 1010001 => 2
[6,2,8,1,3,5,7,4] => 1010001 => 2
[4,2,8,1,3,5,7,6] => 1010001 => 2
[2,6,8,1,3,5,7,4] => 0010001 => 1
[4,6,8,1,3,5,7,2] => 0010001 => 1
[4,6,1,8,3,5,7,2] => 0101001 => 2
[4,1,6,8,3,5,7,2] => 1001001 => 2
[1,4,6,3,8,5,7,2] => 0010101 => 2
[4,6,1,3,8,5,7,2] => 0100101 => 2
[2,4,1,8,3,5,7,6] => 0101001 => 2
[2,1,6,8,3,5,7,4] => 1001001 => 2
[4,1,3,6,8,5,7,2] => 1000101 => 2
[1,4,3,6,8,5,7,2] => 0100101 => 2
[4,1,3,8,6,5,7,2] => 1001101 => 2
[2,1,8,3,6,5,7,4] => 1010101 => 3
[2,1,6,4,3,5,7,8] => 1011000 => 2
[2,6,1,4,3,5,7,8] => 0101000 => 2
[2,8,1,4,3,5,7,6] => 0101001 => 2
[2,8,1,6,3,5,7,4] => 0101001 => 2
[4,8,1,3,6,5,7,2] => 0100101 => 2
[1,4,8,3,6,5,7,2] => 0010101 => 2
[1,4,8,6,3,5,7,2] => 0011001 => 1
[4,1,8,6,3,5,7,2] => 1011001 => 2
[4,8,1,6,3,5,7,2] => 0101001 => 2
[4,8,6,1,3,5,7,2] => 0110001 => 1
[2,8,6,1,3,5,7,4] => 0110001 => 1
[2,8,4,1,3,5,7,6] => 0110001 => 1
[2,6,4,1,3,5,7,8] => 0110000 => 1
[4,6,2,1,3,5,7,8] => 0110000 => 1
[6,8,1,4,3,5,7,2] => 0101001 => 2
[6,1,8,4,3,5,7,2] => 1011001 => 2
[1,6,8,4,3,5,7,2] => 0011001 => 1
[1,8,6,4,3,5,7,2] => 0111001 => 1
[8,1,6,4,3,5,7,2] => 1011001 => 2
[8,6,1,4,3,5,7,2] => 1101001 => 2
[8,6,4,1,3,5,7,2] => 1110001 => 1
[8,6,2,1,3,5,7,4] => 1110001 => 1
[8,4,2,1,3,5,7,6] => 1110001 => 1
[7,8,6,5,2,1,4,3] => 0111101 => 1
[5,7,4,1,8,6,3,2] => 0110111 => 1
[5,6,4,2,8,3,7,1] => 0110101 => 2
[5,6,4,2,7,3,1,8] => 0110110 => 2
[5,7,1,4,6,3,2,8] => 0100110 => 2
[5,8,1,4,6,3,7,2] => 0100101 => 2
[3,6,7,4,5,8,2,1] => 0010011 => 1
[3,5,7,4,6,8,2,1] => 0010011 => 1
[6,8,4,1,7,2,5,3] => 0110101 => 2
[5,4,6,1,7,8,3,2] => 1010011 => 2
[5,6,4,1,8,7,3,2] => 0110111 => 1
[3,5,8,4,6,7,2,1] => 0010011 => 1
[3,6,8,4,5,7,2,1] => 0010011 => 1
[3,7,8,4,5,6,2,1] => 0010011 => 1
[6,8,1,4,5,3,7,2] => 0100101 => 2
[6,7,1,4,5,3,2,8] => 0100110 => 2
[3,7,1,5,4,6,2,8] => 0101010 => 3
[3,8,1,5,4,6,7,2] => 0101001 => 2
[3,7,1,5,4,6,8,2] => 0101001 => 2
[6,7,1,4,5,3,8,2] => 0100101 => 2
[5,7,1,4,6,3,8,2] => 0100101 => 2
[5,6,4,2,7,3,8,1] => 0110101 => 2
[5,4,7,2,8,3,1,6] => 1010110 => 3
[5,4,7,2,8,3,6,1] => 1010101 => 3
[5,6,4,2,8,3,1,7] => 0110110 => 2
[5,8,1,4,6,3,2,7] => 0100110 => 2
[3,8,1,5,4,6,2,7] => 0101010 => 3
[3,6,1,5,4,2,7,8] => 0101100 => 2
[3,6,1,5,4,8,2,7] => 0101010 => 3
[6,8,3,1,4,2,5,7] => 0110100 => 2
[7,3,8,1,4,2,5,6] => 1010100 => 3
[6,7,3,1,4,2,8,5] => 0110101 => 2
[3,6,1,5,4,7,8,2] => 0101001 => 2
[3,4,1,2,7,6,5,8] => 0100110 => 2
[3,4,1,2,6,8,7,5] => 0100011 => 1
[6,8,3,1,4,7,2,5] => 0110010 => 2
[6,4,7,2,8,5,1,3] => 1010110 => 3
[5,8,1,4,7,3,2,6] => 0100110 => 2
[7,8,1,4,5,3,2,6] => 0100110 => 2
[3,8,1,5,4,7,2,6] => 0101010 => 3
[3,6,1,5,4,8,7,2] => 0101011 => 2
[3,6,1,5,4,7,2,8] => 0101010 => 3
[6,7,3,1,4,2,5,8] => 0110100 => 2
[6,8,3,1,4,2,7,5] => 0110101 => 2
[7,8,3,1,4,6,2,5] => 0110010 => 2
[7,8,4,2,6,5,1,3] => 0110110 => 2
[6,5,8,7,3,4,2,1] => 1011011 => 2
[7,8,3,1,4,6,5,2] => 0110011 => 1
[6,7,3,1,4,5,2,8] => 0110010 => 2
[3,7,1,5,4,2,6,8] => 0101100 => 2
[3,8,1,5,4,2,7,6] => 0101101 => 2
[5,8,1,4,7,3,6,2] => 0100101 => 2
[6,8,4,2,7,5,3,1] => 0110111 => 1
[6,4,7,2,8,5,3,1] => 1010111 => 2
[6,3,7,1,4,8,5,2] => 1010011 => 2
[6,8,3,1,4,7,5,2] => 0110011 => 1
[3,7,1,5,4,8,6,2] => 0101011 => 2
[3,4,1,2,8,5,7,6] => 0100101 => 2
[3,4,1,2,5,8,7,6] => 0100011 => 1
[3,7,1,5,4,2,8,6] => 0101101 => 2
[6,7,3,1,4,5,8,2] => 0110001 => 1
[7,3,8,1,4,5,2,6] => 1010010 => 3
[7,3,8,1,4,5,6,2] => 1010001 => 2
[6,8,3,1,4,5,2,7] => 0110010 => 2
[3,8,1,5,4,2,6,7] => 0101100 => 2
[9,8,7,6,5,4,2,1,3] => 11111110 => 1
[9,8,7,6,5,3,2,1,4] => 11111110 => 1
[8,7,6,3,5,2,1,4] => 1110110 => 2
[9,8,7,6,4,3,2,1,5] => 11111110 => 1
[8,7,4,6,3,2,1,5] => 1101110 => 2
[9,8,7,5,4,3,2,1,6] => 11111110 => 1
[8,5,7,4,3,2,1,6] => 1011110 => 2
[9,8,6,5,4,3,2,1,7] => 11111110 => 1
[9,7,6,5,4,3,2,1,8] => 11111110 => 1
[9,8,7,6,5,4,1,3,2] => 11111101 => 1
[10,9,8,7,6,5,4,2,1,3] => 111111110 => 1
[9,8,7,6,5,2,4,1,3] => 11111010 => 2
[10,9,8,7,6,5,3,2,1,4] => 111111110 => 1
[9,8,7,6,3,5,2,1,4] => 11110110 => 2
[10,9,8,7,6,4,3,2,1,5] => 111111110 => 1
[8,7,6,2,5,4,1,3] => 1110110 => 2
[9,8,7,4,6,3,2,1,5] => 11101110 => 2
[10,9,8,7,5,4,3,2,1,6] => 111111110 => 1
[8,5,4,7,3,2,1,6] => 1101110 => 2
[8,7,3,6,5,2,1,4] => 1101110 => 2
[9,8,5,7,4,3,2,1,6] => 11011110 => 2
[10,9,8,6,5,4,3,2,1,7] => 111111110 => 1
[6,5,8,4,3,2,1,7] => 1011110 => 2
[8,4,7,6,3,2,1,5] => 1011110 => 2
[9,6,8,5,4,3,2,1,7] => 10111110 => 2
[10,9,7,6,5,4,3,2,1,8] => 111111110 => 1
[5,8,7,4,3,2,1,6] => 0111110 => 1
[10,8,7,6,5,4,3,2,1,9] => 111111110 => 1
[5,8,6,2,3,4,7,1] => 0110001 => 1
[4,5,2,7,3,1,8,6] => 0101101 => 2
[4,8,2,6,3,5,7,1] => 0101001 => 2
[4,3,7,8,6,5,1,2] => 1001110 => 2
[4,1,7,2,5,8,6,3] => 1010011 => 2
[7,8,2,1,5,6,4,3] => 0110011 => 1
[1,6,2,5,8,4,3,7] => 0100110 => 2
[2,1,8,7,4,5,3,6] => 1011010 => 3
[7,3,1,6,8,5,2,4] => 1100110 => 2
[1,5,8,6,2,3,7,4] => 0011001 => 1
[2,4,8,3,1,6,5,7] => 0011010 => 2
[5,2,7,1,8,6,3,4] => 1010110 => 3
[2,6,1,3,8,7,4,5] => 0100110 => 2
[6,5,2,8,1,7,3,4] => 1101010 => 3
[2,8,3,5,1,7,4,6] => 0101010 => 3
[5,4,3,8,7,1,6,2] => 1101101 => 2
[8,5,4,3,7,2,6,1] => 1110101 => 2
[8,3,7,4,2,6,5,1] => 1011011 => 2
[2,8,6,5,1,7,4,3] => 0111011 => 1
[6,3,2,8,4,1,7,5] => 1101101 => 2
[2,8,3,4,1,7,5,6] => 0101010 => 3
[5,4,2,8,3,1,7,6] => 1101101 => 2
[2,8,4,3,1,7,6,5] => 0111011 => 1
[2,8,5,3,1,7,6,4] => 0111011 => 1
[2,8,6,4,1,7,5,3] => 0111011 => 1
[3,8,7,5,1,6,4,2] => 0111011 => 1
[8,3,7,5,2,6,4,1] => 1011011 => 2
[8,4,7,6,2,5,3,1] => 1011011 => 2
[4,8,7,6,1,5,3,2] => 0111011 => 1
[7,4,8,6,2,1,5,3] => 1011101 => 2
[7,3,8,5,2,1,6,4] => 1011101 => 2
[7,3,8,4,2,1,6,5] => 1011101 => 2
[7,5,4,3,8,2,1,6] => 1110110 => 2
[3,7,8,4,1,2,6,5] => 0011001 => 1
[3,7,8,5,1,2,6,4] => 0011001 => 1
[4,7,8,6,1,2,5,3] => 0011001 => 1
[8,7,4,6,3,5,2,1] => 1101011 => 2
[5,7,8,6,1,2,4,3] => 0011001 => 1
[6,4,7,8,3,1,2,5] => 1001100 => 2
[7,3,4,8,2,1,5,6] => 1001100 => 2
[7,6,4,8,3,2,1,5] => 1101110 => 2
[7,5,8,6,2,1,4,3] => 1011101 => 2
[6,5,8,7,3,1,4,2] => 1011101 => 2
[2,4,8,3,1,5,7,6] => 0011001 => 1
[6,3,2,4,8,1,5,7] => 1100100 => 2
[2,3,8,4,1,6,7,5] => 0011001 => 1
[2,3,8,5,1,6,7,4] => 0011001 => 1
[6,4,8,7,3,1,5,2] => 1011101 => 2
[8,6,4,7,3,2,5,1] => 1101101 => 2
[8,3,4,7,2,5,6,1] => 1001001 => 2
[3,4,8,7,1,5,6,2] => 0011001 => 1
[2,4,8,6,1,5,7,3] => 0011001 => 1
[2,5,8,6,1,4,7,3] => 0011001 => 1
[8,3,5,7,2,4,6,1] => 1001001 => 2
[8,4,6,7,2,3,5,1] => 1001001 => 2
[4,6,8,7,1,3,5,2] => 0011001 => 1
[2,6,8,5,1,3,7,4] => 0011001 => 1
[2,6,8,4,1,3,7,5] => 0011001 => 1
[2,5,8,3,1,4,7,6] => 0011001 => 1
[5,6,8,7,1,3,4,2] => 0011001 => 1
[7,4,6,8,2,1,3,5] => 1001100 => 2
[2,3,5,4,1,8,6,7] => 0011010 => 2
[2,3,6,4,8,1,5,7] => 0010100 => 2
[1,8,4,6,3,5,2,7] => 0101010 => 3
[5,4,8,6,2,1,3,7] => 1011100 => 2
[2,3,6,8,1,5,4,7] => 0001010 => 2
[2,5,6,1,4,7,8,3] => 0010001 => 1
[2,5,6,1,4,7,3,8] => 0010010 => 2
[7,3,5,1,6,8,4,2] => 1010011 => 2
[2,7,6,1,8,5,4,3] => 0110111 => 1
[2,7,6,8,1,4,5,3] => 0101001 => 2
[1,8,7,6,3,2,5,4] => 0111101 => 1
[1,8,7,6,3,2,4,5] => 0111100 => 1
[5,7,8,6,2,3,4,1] => 0011001 => 1
[2,7,6,1,8,5,3,4] => 0110110 => 2
[6,3,5,1,7,2,4,8] => 1010100 => 3
[2,3,4,7,6,1,5,8] => 0001100 => 1
[7,3,5,8,4,1,2,6] => 1001100 => 2
[1,8,4,5,2,7,3,6] => 0101010 => 3
[1,8,4,5,2,7,6,3] => 0101011 => 2
[7,3,5,8,4,1,6,2] => 1001101 => 2
[2,7,6,4,8,5,1,3] => 0110110 => 2
[7,3,5,4,6,8,1,2] => 1010010 => 3
[6,3,5,4,7,1,8,2] => 1010101 => 3
[6,3,5,4,7,1,2,8] => 1010100 => 3
[3,4,1,5,6,8,7,2] => 0100011 => 1
[3,7,1,6,8,5,2,4] => 0100110 => 2
[2,3,1,8,6,4,7,5] => 0101101 => 2
[1,8,4,3,6,2,5,7] => 0110100 => 2
[2,3,1,8,6,4,5,7] => 0101100 => 2
[3,7,1,6,8,5,4,2] => 0100111 => 1
[6,3,5,4,7,2,1,8] => 1010110 => 3
[7,3,5,4,6,8,2,1] => 1010011 => 2
[2,7,6,4,8,5,3,1] => 0110111 => 1
[1,8,4,5,2,6,3,7] => 0101010 => 3
[6,4,8,5,3,1,2,7] => 1011100 => 2
[7,3,5,8,4,6,2,1] => 1001011 => 2
[2,3,4,6,5,8,1,7] => 0001010 => 2
[2,3,4,7,5,1,8,6] => 0001101 => 1
[2,3,4,7,5,1,6,8] => 0001100 => 1
[2,3,4,7,1,6,5,8] => 0001010 => 2
[2,3,4,7,1,6,8,5] => 0001001 => 1
[2,3,4,6,1,8,7,5] => 0001011 => 1
[6,3,5,8,4,2,7,1] => 1001101 => 2
[7,4,8,5,3,2,1,6] => 1011110 => 2
[1,8,4,5,2,3,6,7] => 0101000 => 2
[7,4,8,5,3,2,6,1] => 1011101 => 2
[6,3,5,8,4,2,1,7] => 1001110 => 2
[5,2,4,6,8,3,7,1] => 1000101 => 2
[1,5,7,4,6,3,2,8] => 0010110 => 2
[5,2,8,4,6,3,7,1] => 1010101 => 3
[3,8,5,4,6,7,2,1] => 0110011 => 1
[6,8,3,4,5,7,2,1] => 0100011 => 1
[2,5,7,4,6,3,8,1] => 0010101 => 2
[5,4,1,7,8,3,2,6] => 1100110 => 2
[5,4,2,7,8,3,6,1] => 1100101 => 2
[5,1,4,6,8,3,2,7] => 1000110 => 2
[5,1,8,4,6,3,2,7] => 1010110 => 3
[8,1,6,4,5,3,2,7] => 1010110 => 3
[8,1,3,5,4,6,2,7] => 1001010 => 3
[8,1,6,2,4,3,5,7] => 1010100 => 3
[8,7,1,2,4,3,5,6] => 1100100 => 2
[1,7,6,2,4,3,5,8] => 0110100 => 2
[8,7,3,2,4,6,5,1] => 1110011 => 1
[8,2,6,3,4,5,7,1] => 1010001 => 2
[1,7,6,3,4,5,2,8] => 0110010 => 2
[1,7,2,5,4,3,6,8] => 0101100 => 2
[8,7,2,4,5,3,6,1] => 1100101 => 2
[5,8,2,4,7,3,6,1] => 0100101 => 2
[6,8,3,2,4,7,5,1] => 0110011 => 1
[8,7,1,3,4,5,2,6] => 1100010 => 2
[8,1,6,3,4,5,2,7] => 1010010 => 3
[8,1,2,5,4,3,6,7] => 1001100 => 2
[3,4,8,7,5,2,6,1] => 0011101 => 1
[3,2,8,6,1,5,4,7] => 1011010 => 3
[8,6,1,2,4,3,5,7] => 1100100 => 2
[8,7,3,6,4,2,5,1] => 1101101 => 2
[3,8,7,2,5,4,6,1] => 0110101 => 2
[8,7,2,4,5,6,3,1] => 1100011 => 1
[5,3,6,2,4,8,7,1] => 1010011 => 2
[3,5,2,8,6,1,4,7] => 0101100 => 2
[3,7,2,5,1,4,8,6] => 0101001 => 2
[5,1,8,6,2,3,4,7] => 1011000 => 2
[2,5,4,1,8,6,3,7] => 0110110 => 2
[3,7,6,1,8,2,5,4] => 0110101 => 2
[7,6,3,1,8,2,4,5] => 1110100 => 2
[8,2,3,6,1,4,7,5] => 1001001 => 2
[1,8,2,6,3,4,7,5] => 0101001 => 2
[8,1,3,6,4,7,2,5] => 1001010 => 3
[7,1,3,6,4,8,2,5] => 1001010 => 3
[8,2,1,3,5,7,4,6] => 1100010 => 2
[8,2,6,3,1,4,7,5] => 1011001 => 2
[7,5,4,1,3,8,2,6] => 1110010 => 2
[2,7,5,8,3,4,1,6] => 0101010 => 3
[7,3,8,5,4,1,2,6] => 1011100 => 2
[7,2,3,6,1,4,8,5] => 1001001 => 2
[1,3,7,2,5,8,4,6] => 0010010 => 2
[1,7,2,3,5,8,4,6] => 0100010 => 2
[7,4,8,1,3,6,2,5] => 1010010 => 3
[8,1,2,3,5,7,4,6] => 1000010 => 2
[7,1,2,3,5,8,4,6] => 1000010 => 2
[8,6,1,4,7,3,2,5] => 1100110 => 2
[2,6,3,7,1,4,8,5] => 0101001 => 2
[2,6,3,8,1,4,7,5] => 0101001 => 2
[7,5,4,8,1,3,2,6] => 1101010 => 3
[8,5,4,7,1,3,2,6] => 1101010 => 3
[2,3,1,8,5,4,6,7] => 0101100 => 2
[8,6,5,1,3,4,2,7] => 1110010 => 2
[8,5,1,7,6,3,4,2] => 1101101 => 2
[3,4,7,6,1,8,5,2] => 0011011 => 1
[3,5,2,6,7,1,8,4] => 0100101 => 2
[3,2,8,4,7,5,1,6] => 1010110 => 3
[8,4,7,5,1,3,2,6] => 1011010 => 3
[3,8,1,6,5,2,7,4] => 0101101 => 2
[6,1,2,8,3,4,7,5] => 1001001 => 2
[6,8,3,1,7,2,4,5] => 0110100 => 2
[3,7,2,5,6,1,8,4] => 0100101 => 2
[6,8,4,2,5,1,7,3] => 0110101 => 2
[2,7,5,3,8,4,1,6] => 0110110 => 2
[8,3,1,4,7,2,6,5] => 1100101 => 2
[8,3,2,1,5,7,4,6] => 1110010 => 2
[2,8,3,6,4,7,1,5] => 0101010 => 3
[7,3,6,4,8,1,2,5] => 1010100 => 3
[8,3,6,4,7,1,2,5] => 1010100 => 3
[1,2,8,3,5,7,4,6] => 0010010 => 2
[1,8,3,2,5,7,4,6] => 0110010 => 2
[6,5,1,7,4,2,8,3] => 1101101 => 2
[7,3,6,4,8,2,1,5] => 1010110 => 3
[4,6,1,7,3,5,2,8] => 0101010 => 3
[5,6,1,7,3,4,2,8] => 0101010 => 3
[6,1,7,3,4,2,8,5] => 1010101 => 3
[7,3,8,1,6,5,2,4] => 1010110 => 3
[8,3,7,1,6,5,2,4] => 1010110 => 3
[5,1,7,4,2,8,6,3] => 1011011 => 2
[2,8,1,7,6,5,3,4] => 0101110 => 2
[4,2,8,6,5,1,7,3] => 1011101 => 2
[6,4,2,8,5,1,7,3] => 1101101 => 2
[8,6,4,7,1,5,2,3] => 1101010 => 3
[7,6,4,8,1,5,2,3] => 1101010 => 3
[5,1,6,4,2,3,8,7] => 1011001 => 2
[4,2,3,8,7,5,1,6] => 1001110 => 2
[3,8,7,1,6,5,2,4] => 0110110 => 2
[2,4,3,8,1,6,7,5] => 0101001 => 2
[2,4,3,7,1,6,8,5] => 0101001 => 2
[4,2,3,7,8,5,1,6] => 1000110 => 2
[5,1,6,4,2,3,7,8] => 1011000 => 2
[6,4,7,8,1,5,2,3] => 1001010 => 3
[8,7,4,6,1,5,2,3] => 1101010 => 3
[6,5,7,8,1,4,2,3] => 1001010 => 3
[4,7,8,6,1,5,2,3] => 0011010 => 2
[3,2,4,7,8,1,5,6] => 1000100 => 2
[3,2,4,8,7,1,5,6] => 1001100 => 2
[4,8,7,6,1,5,2,3] => 0111010 => 2
[5,8,7,6,1,4,2,3] => 0111010 => 2
[8,6,5,7,1,4,2,3] => 1101010 => 3
[5,1,6,7,4,2,3,8] => 1001100 => 2
[6,7,4,8,1,5,2,3] => 0101010 => 3
[8,4,7,6,1,5,2,3] => 1011010 => 3
[8,3,2,4,7,1,5,6] => 1100100 => 2
[7,3,2,4,8,1,5,6] => 1100100 => 2
[2,5,3,7,1,6,4,8] => 0101010 => 3
[8,4,6,7,1,5,2,3] => 1001010 => 3
[7,4,6,8,1,5,2,3] => 1001010 => 3
[5,1,6,8,4,2,3,7] => 1001100 => 2
[4,2,3,7,5,1,6,8] => 1001100 => 2
[3,7,5,8,1,6,2,4] => 0101010 => 3
[2,4,3,7,1,6,5,8] => 0101010 => 3
[2,4,7,1,5,8,6,3] => 0010011 => 1
[3,2,4,7,6,1,5,8] => 1001100 => 2
[4,7,6,8,1,5,2,3] => 0101010 => 3
[8,5,6,7,1,4,2,3] => 1001010 => 3
[8,6,7,5,1,4,2,3] => 1011010 => 3
[7,6,8,5,1,4,2,3] => 1011010 => 3
[6,8,7,5,1,4,2,3] => 0111010 => 2
[5,6,8,7,1,4,2,3] => 0011010 => 2
[4,6,8,7,1,5,2,3] => 0011010 => 2
[2,4,6,7,1,5,8,3] => 0001001 => 1
[3,2,4,6,1,5,7,8] => 1001000 => 2
[6,7,8,5,1,4,2,3] => 0011010 => 2
[7,8,6,5,1,4,2,3] => 0111010 => 2
[3,1,7,5,4,2,8,6] => 1011101 => 2
[2,1,8,5,4,6,3,7] => 1011010 => 3
[4,1,8,5,2,3,6,7] => 1011000 => 2
[5,4,1,3,6,7,2,8] => 1100010 => 2
[8,4,1,2,6,3,7,5] => 1100101 => 2
[8,2,7,1,5,3,4,6] => 1010100 => 3
[3,2,7,1,5,8,4,6] => 1010010 => 3
[6,3,7,1,5,4,2,8] => 1010110 => 3
[7,3,8,1,5,4,2,6] => 1010110 => 3
[7,1,5,3,8,4,2,6] => 1010110 => 3
[4,5,1,3,6,8,2,7] => 0100010 => 2
[3,6,8,1,5,4,2,7] => 0010110 => 2
[6,8,3,1,5,4,2,7] => 0110110 => 2
[7,6,3,1,5,4,2,8] => 1110110 => 2
[3,6,2,1,5,8,4,7] => 0110010 => 2
[8,6,2,1,5,3,4,7] => 1110100 => 2
[4,8,2,1,7,5,3,6] => 0110110 => 2
[2,3,8,1,5,7,4,6] => 0010010 => 2
[7,1,3,2,8,6,4,5] => 1010110 => 3
[7,1,6,2,8,3,4,5] => 1010100 => 3
[4,7,1,2,6,3,8,5] => 0100101 => 2
[2,7,8,1,5,3,4,6] => 0010100 => 2
[6,7,2,1,5,3,4,8] => 0110100 => 2
[4,7,2,1,8,5,3,6] => 0110110 => 2
[8,7,2,1,4,5,3,6] => 1110010 => 2
[8,7,5,6,1,4,3,2] => 1101011 => 2
[5,7,8,6,1,4,3,2] => 0011011 => 1
[2,7,4,1,6,5,3,8] => 0110110 => 2
[3,7,1,4,5,6,8,2] => 0100001 => 1
[7,1,6,4,5,8,3,2] => 1010011 => 2
[3,5,1,4,7,6,8,2] => 0100101 => 2
[2,6,4,1,7,5,3,8] => 0110110 => 2
[5,6,8,7,1,4,3,2] => 0011011 => 1
[6,8,5,7,1,4,3,2] => 0101011 => 2
[8,6,5,7,1,4,3,2] => 1101011 => 2
[8,5,7,6,1,4,3,2] => 1011011 => 2
[6,5,7,8,1,4,3,2] => 1001011 => 2
[7,2,3,1,5,6,4,8] => 1010010 => 3
[4,2,8,1,6,5,3,7] => 1010110 => 3
[6,2,4,1,8,5,3,7] => 1010110 => 3
[8,3,1,4,5,6,7,2] => 1100001 => 1
[5,3,1,4,8,6,7,2] => 1100101 => 2
[7,5,1,6,3,4,8,2] => 1101001 => 2
[7,1,5,8,4,3,6,2] => 1001101 => 2
[5,8,1,6,4,3,7,2] => 0101101 => 2
[5,3,1,8,4,6,7,2] => 1101001 => 2
[8,3,1,5,4,6,7,2] => 1101001 => 2
[8,2,6,1,4,5,3,7] => 1010010 => 3
[6,2,8,1,4,5,3,7] => 1010010 => 3
[7,2,6,1,5,3,4,8] => 1010100 => 3
[2,8,6,1,5,3,4,7] => 0110100 => 2
[4,2,1,5,6,3,8,7] => 1100101 => 2
[7,1,2,5,8,3,4,6] => 1000100 => 2
[7,1,4,5,6,8,3,2] => 1000011 => 1
[8,5,6,7,1,4,3,2] => 1001011 => 2
[7,6,8,5,1,4,3,2] => 1011011 => 2
[6,8,7,5,1,4,3,2] => 0111011 => 1
[2,6,7,1,4,5,3,8] => 0010010 => 2
[3,5,1,7,4,6,8,2] => 0101001 => 2
[7,1,5,6,4,8,3,2] => 1001011 => 2
[7,1,6,5,4,8,3,2] => 1011011 => 2
[2,7,6,1,4,5,3,8] => 0110010 => 2
[5,7,6,8,1,4,3,2] => 0101011 => 2
[7,8,6,5,1,4,3,2] => 0111011 => 1
[4,3,1,6,5,8,7,2] => 1101011 => 2
[5,3,1,2,4,8,7,6] => 1100011 => 1
[5,3,6,2,1,8,7,4] => 1011011 => 2
[5,3,7,2,1,4,6,8] => 1011000 => 2
[5,3,7,2,8,4,1,6] => 1010110 => 3
[7,2,4,5,8,3,1,6] => 1000110 => 2
[7,2,4,5,1,3,6,8] => 1001000 => 2
[6,2,4,5,1,8,7,3] => 1001011 => 2
[3,1,4,5,2,8,7,6] => 1001011 => 2
[1,6,4,5,2,8,7,3] => 0101011 => 2
[3,7,4,5,1,2,6,8] => 0101000 => 2
[3,7,4,5,8,2,1,6] => 0100110 => 2
[1,7,4,2,6,3,5,8] => 0110100 => 2
[8,7,4,5,2,1,6,3] => 1101101 => 2
[6,3,7,1,8,4,2,5] => 1010110 => 3
[5,7,4,1,6,3,2,8] => 0110110 => 2
[1,7,4,8,6,3,2,5] => 0101110 => 2
[5,7,4,8,6,3,1,2] => 0101110 => 2
[4,8,3,5,6,7,1,2] => 0100010 => 2
[1,8,3,5,6,7,2,4] => 0100010 => 2
[4,8,1,5,6,7,2,3] => 0100010 => 2
[4,1,3,5,6,7,2,8] => 1000010 => 2
[5,8,4,3,6,1,2,7] => 0110100 => 2
[5,3,8,4,1,7,2,6] => 1011010 => 3
[1,5,8,4,6,7,3,2] => 0010011 => 1
[1,4,8,3,6,7,5,2] => 0010011 => 1
[4,3,8,2,1,7,5,6] => 1011010 => 3
[3,8,4,2,6,1,5,7] => 0110100 => 2
[1,8,2,5,6,7,4,3] => 0100011 => 1
[3,8,1,5,6,7,4,2] => 0100011 => 1
[3,8,2,5,6,7,1,4] => 0100010 => 2
[8,2,1,5,6,7,4,3] => 1100011 => 1
[8,1,3,5,6,7,4,2] => 1000011 => 1
[7,1,4,3,6,2,5,8] => 1010100 => 3
[7,8,4,3,6,2,1,5] => 0110110 => 2
[4,3,1,8,5,7,6,2] => 1101011 => 2
[4,3,1,6,8,7,5,2] => 1100111 => 1
[6,3,1,8,2,7,4,5] => 1101010 => 3
[6,3,5,8,2,7,1,4] => 1001010 => 3
[7,5,4,8,6,2,1,3] => 1101110 => 2
[7,1,4,8,6,2,3,5] => 1001100 => 2
[7,5,4,1,6,2,3,8] => 1110100 => 2
[7,6,4,5,8,1,3,2] => 1100101 => 2
[1,6,4,5,8,2,3,7] => 0100100 => 2
[7,3,6,1,8,2,4,5] => 1010100 => 3
[1,7,6,5,8,3,4,2] => 0110101 => 2
[1,8,5,3,6,7,4,2] => 0110011 => 1
[8,3,5,2,1,7,4,6] => 1011010 => 3
[8,4,1,5,6,7,3,2] => 1100011 => 1
[8,4,2,5,6,7,1,3] => 1100010 => 2
[4,1,8,5,6,7,3,2] => 1010011 => 2
[1,2,8,5,6,7,3,4] => 0010010 => 2
[4,2,1,5,6,7,3,8] => 1100010 => 2
[1,5,3,8,6,7,4,2] => 0101011 => 2
[1,4,5,8,6,7,3,2] => 0001011 => 1
[4,3,5,8,1,7,2,6] => 1001010 => 3
[3,5,4,8,6,1,2,7] => 0101100 => 2
[1,4,8,5,6,7,2,3] => 0010010 => 2
[3,4,8,5,6,7,1,2] => 0010010 => 2
[2,7,1,5,6,3,4,8] => 0100100 => 2
[2,7,1,4,3,6,5,8] => 0101010 => 3
[4,3,7,2,5,6,8,1] => 1010001 => 2
[2,6,3,1,4,5,8,7] => 0110001 => 1
[3,7,1,4,2,6,8,5] => 0101001 => 2
[3,7,1,5,6,2,8,4] => 0100101 => 2
[4,7,1,5,6,8,2,3] => 0100010 => 2
[8,5,2,6,7,3,1,4] => 1100110 => 2
[8,4,2,6,3,7,1,5] => 1101010 => 3
[8,4,2,3,5,7,1,6] => 1100010 => 2
[4,7,3,2,5,6,1,8] => 0110010 => 2
[5,3,4,6,2,8,1,7] => 1001010 => 3
[5,3,7,4,2,8,1,6] => 1011010 => 3
[6,4,7,2,3,8,1,5] => 1010010 => 3
[6,5,7,2,8,3,1,4] => 1010110 => 3
[5,3,7,2,4,8,6,1] => 1010011 => 2
[2,6,5,1,8,3,4,7] => 0110100 => 2
[8,7,6,1,4,5,2,3] => 1110010 => 2
[8,7,6,1,3,2,5,4] => 1110101 => 2
[8,7,2,4,3,1,6,5] => 1101101 => 2
[8,7,4,5,1,6,2,3] => 1101010 => 3
[8,5,6,4,1,7,2,3] => 1011010 => 3
[8,5,6,3,1,2,7,4] => 1011001 => 2
[8,4,6,2,3,1,7,5] => 1010101 => 3
[8,3,5,4,2,1,7,6] => 1011101 => 2
[5,7,3,4,2,1,8,6] => 0101101 => 2
[6,7,4,2,3,1,8,5] => 0110101 => 2
[6,7,5,3,1,2,8,4] => 0111001 => 1
[6,7,5,4,1,8,2,3] => 0111010 => 2
[10,3,1,2,4,5,6,7,8,9] => 110000000 => 1
[10,4,1,2,3,5,6,7,8,9] => 110000000 => 1
[5,10,1,2,3,4,6,7,8,9] => 010000000 => 1
[10,6,1,2,3,4,5,7,8,9] => 110000000 => 1
[10,7,1,2,3,4,5,6,8,9] => 110000000 => 1
[8,10,1,2,3,4,5,6,7,9] => 010000000 => 1
[2,11,1,3,4,5,6,7,8,9,10] => 0100000000 => 1
[2,3,10,1,4,5,6,7,8,9] => 001000000 => 1
[4,3,1,10,2,5,6,7,8,9] => 110100000 => 2
[5,4,1,2,10,3,6,7,8,9] => 110010000 => 2
[5,11,1,2,3,4,6,7,8,9,10] => 0100000000 => 1
[5,6,1,2,3,10,4,7,8,9] => 010001000 => 2
[7,6,1,2,3,4,10,5,8,9] => 110000100 => 2
[8,7,1,2,3,4,5,10,6,9] => 110000010 => 2
[8,11,1,2,3,4,5,6,7,9,10] => 0100000000 => 1
[8,9,1,2,3,4,5,6,10,7] => 010000001 => 1
[6,2,4,3,8,7,5,1] => 1010111 => 2
[7,3,5,4,1,8,6,2] => 1011011 => 2
[5,2,7,1,3,4,8,6] => 1010001 => 2
[2,6,5,7,3,1,4,8] => 0101100 => 2
[2,6,5,7,3,1,8,4] => 0101101 => 2
[6,3,1,4,7,8,5,2] => 1100011 => 1
[6,8,2,1,3,4,5,7] => 0110000 => 1
[3,7,1,8,4,5,2,6] => 0101010 => 3
[6,3,2,4,7,5,8,1] => 1100101 => 2
[6,3,2,4,7,5,1,8] => 1100110 => 2
[4,2,1,6,3,7,5,8] => 1101010 => 3
[4,2,1,6,3,7,8,5] => 1101001 => 2
[7,4,3,5,8,6,1,2] => 1100110 => 2
[2,7,6,8,3,1,4,5] => 0101100 => 2
[7,4,3,5,8,6,2,1] => 1100111 => 1
[4,2,1,7,3,8,6,5] => 1101011 => 2
[4,2,1,3,7,8,6,5] => 1100011 => 1
[5,8,1,7,4,3,6,2] => 0101101 => 2
[5,8,1,7,4,3,2,6] => 0101110 => 2
[3,7,8,6,2,1,4,5] => 0011100 => 1
[4,2,1,8,3,5,6,7] => 1101000 => 2
[4,2,1,3,6,7,5,8] => 1100010 => 2
[4,2,1,3,7,5,6,8] => 1100100 => 2
[4,2,1,3,6,8,7,5] => 1100011 => 1
[7,3,2,4,8,6,5,1] => 1100111 => 1
[4,2,1,6,3,8,7,5] => 1101011 => 2
[4,2,1,7,3,5,6,8] => 1101000 => 2
[3,6,7,5,2,1,4,8] => 0011100 => 1
[3,6,7,5,2,1,8,4] => 0011101 => 1
[7,3,4,2,6,8,5,1] => 1010011 => 2
[4,8,6,2,7,3,5,1] => 0110101 => 2
[7,3,4,2,6,8,1,5] => 1010010 => 3
[3,6,7,5,2,4,8,1] => 0011001 => 1
[3,6,7,5,2,4,1,8] => 0011010 => 2
[4,2,1,7,3,6,5,8] => 1101010 => 3
[4,2,1,7,3,6,8,5] => 1101001 => 2
[3,7,6,8,4,2,5,1] => 0101101 => 2
[5,8,1,7,4,2,6,3] => 0101101 => 2
[3,7,8,6,2,4,5,1] => 0011001 => 1
[4,2,1,3,8,6,7,5] => 1100101 => 2
[4,2,1,3,7,6,5,8] => 1100110 => 2
[4,2,1,3,5,7,6,8] => 1100010 => 2
[4,2,1,3,5,8,6,7] => 1100010 => 2
[4,8,1,7,3,6,5,2] => 0101011 => 2
[4,7,8,6,3,5,2,1] => 0011011 => 1
[4,2,1,8,3,7,6,5] => 1101011 => 2
[4,2,1,3,5,6,8,7] => 1100001 => 1
[7,8,2,4,1,3,6,5] => 0101001 => 2
[2,6,1,5,4,7,8,3] => 0101001 => 2
[4,6,3,5,8,7,1,2] => 0100110 => 2
[3,5,6,1,4,8,7,2] => 0010011 => 1
[2,3,6,8,4,1,5,7] => 0001100 => 1
[2,7,5,1,8,3,4,6] => 0110100 => 2
[4,7,5,2,1,3,6,8] => 0111000 => 1
[3,5,6,2,4,1,7,8] => 0010100 => 2
[2,5,6,1,4,8,3,7] => 0010010 => 2
[6,7,8,4,1,5,3,2] => 0011011 => 1
[7,1,6,8,4,5,3,2] => 1001011 => 2
[7,4,6,5,2,8,1,3] => 1011010 => 3
[7,1,5,6,4,2,3,8] => 1001100 => 2
[5,7,4,6,8,1,3,2] => 0100101 => 2
[5,7,8,1,4,6,3,2] => 0010011 => 1
[8,1,5,7,4,6,3,2] => 1001011 => 2
[1,8,4,6,7,5,3,2] => 0100111 => 1
[6,1,8,4,7,5,3,2] => 1010111 => 2
[4,5,8,6,1,7,3,2] => 0011011 => 1
[4,8,5,1,6,7,3,2] => 0110011 => 1
[8,1,4,5,6,7,3,2] => 1000011 => 1
[5,6,7,1,4,2,3,8] => 0010100 => 2
[8,4,2,6,1,5,7,3] => 1101001 => 2
[4,8,5,2,1,6,7,3] => 0111001 => 1
[5,1,8,4,2,6,3,7] => 1011010 => 3
[1,8,4,6,2,5,3,7] => 0101010 => 3
[6,1,5,2,3,4,7,8] => 1010000 => 2
[8,3,1,4,6,2,5,7] => 1100100 => 2
[3,1,8,2,5,6,4,7] => 1010010 => 3
[3,5,1,8,2,6,4,7] => 0101010 => 3
[3,5,1,2,8,4,7,6] => 0100101 => 2
[2,3,5,8,6,1,7,4] => 0001101 => 1
[8,2,4,3,6,7,1,5] => 1010010 => 3
[3,2,8,5,7,1,6,4] => 1010101 => 3
[3,6,2,8,5,1,7,4] => 0101101 => 2
[6,2,1,8,4,7,5,3] => 1101011 => 2
[2,8,7,1,4,6,5,3] => 0110011 => 1
[8,2,7,1,5,4,6,3] => 1010101 => 3
[7,2,5,3,6,8,1,4] => 1010010 => 3
[7,3,1,5,6,2,4,8] => 1100100 => 2
[3,7,5,1,6,2,4,8] => 0110100 => 2
[2,7,3,6,5,8,1,4] => 0101010 => 3
[8,7,2,4,1,6,5,3] => 1101011 => 2
[1,8,7,2,3,6,5,4] => 0110011 => 1
[1,7,8,2,6,4,3,5] => 0010110 => 2
[1,7,3,8,2,6,4,5] => 0101010 => 3
[1,2,7,3,6,4,5,8] => 0010100 => 2
[7,1,5,8,3,2,4,6] => 1001100 => 2
[1,6,2,8,4,3,7,5] => 0101101 => 2
[1,3,8,7,2,4,6,5] => 0011001 => 1
[1,8,3,7,2,5,4,6] => 0101010 => 3
[8,1,4,7,3,2,5,6] => 1001100 => 2
[4,7,8,1,3,2,5,6] => 0010100 => 2
[7,1,4,2,3,5,6,8] => 1010000 => 2
[8,2,1,4,7,3,5,6] => 1100100 => 2
[2,1,3,8,4,6,7,5] => 1001001 => 2
[1,2,3,4,8,5,7,6] => 0000101 => 1
[2,4,7,5,6,8,3,1] => 0010011 => 1
[2,4,8,7,5,6,3,1] => 0011011 => 1
[2,5,3,8,4,7,6,1] => 0101011 => 2
[2,8,5,7,3,6,4,1] => 0101011 => 2
[3,1,8,5,2,7,6,4] => 1011011 => 2
[2,8,6,3,4,5,7,1] => 0110001 => 1
[2,5,7,3,4,8,6,1] => 0010011 => 1
[8,3,7,6,1,4,5,2] => 1011001 => 2
[3,1,7,8,2,5,6,4] => 1001001 => 2
[7,3,8,5,1,6,4,2] => 1011011 => 2
[7,5,1,2,3,4,8,6] => 1100001 => 1
[4,8,1,5,2,7,3,6] => 0101010 => 3
[4,1,2,5,3,8,7,6] => 1001011 => 2
[4,3,6,8,7,5,1,2] => 1001110 => 2
[5,4,1,8,2,7,6,3] => 1101011 => 2
[6,4,8,1,2,5,3,7] => 1010010 => 3
[6,7,3,1,4,8,5,2] => 0110011 => 1
[5,4,1,6,8,2,7,3] => 1100101 => 2
[5,4,7,1,2,8,6,3] => 1010011 => 2
[6,7,4,1,2,8,3,5] => 0110010 => 2
[6,5,1,2,3,7,8,4] => 1100001 => 1
[6,5,1,2,3,4,8,7] => 1100001 => 1
[6,7,4,1,2,5,3,8] => 0110010 => 2
[2,4,6,3,5,7,1,8] => 0010010 => 2
[1,4,6,3,7,2,5,8] => 0010100 => 2
[8,6,2,5,3,1,7,4] => 1101101 => 2
[8,2,3,4,5,1,7,6] => 1000101 => 2
[1,8,3,4,2,7,5,6] => 0101010 => 3
[2,8,3,4,1,6,7,5] => 0101001 => 2
[8,7,2,3,1,6,5,4] => 1101011 => 2
[3,8,2,4,6,1,7,5] => 0100101 => 2
[7,8,2,4,3,1,6,5] => 0101101 => 2
[4,5,8,2,3,1,7,6] => 0010101 => 2
[5,1,4,3,7,2,6,8] => 1010100 => 3
[6,1,3,5,7,2,4,8] => 1000100 => 2
[2,1,4,7,5,3,6,8] => 1001100 => 2
[7,1,3,6,2,5,4,8] => 1001010 => 3
[8,1,3,6,2,4,7,5] => 1001001 => 2
[2,1,8,3,7,5,4,6] => 1010110 => 3
[7,1,8,2,5,6,3,4] => 1010010 => 3
[6,1,5,8,2,7,3,4] => 1001010 => 3
[4,5,2,8,1,6,7,3] => 0101001 => 2
[6,2,5,8,1,4,7,3] => 1001001 => 2
[3,2,8,5,1,6,7,4] => 1011001 => 2
[8,2,7,1,4,6,5,3] => 1010011 => 2
[1,3,8,2,5,7,4,6] => 0010010 => 2
[2,8,7,1,6,4,5,3] => 0110101 => 2
[3,8,7,1,5,6,4,2] => 0110011 => 1
[3,4,8,5,6,1,7,2] => 0010101 => 2
[8,3,7,4,1,6,5,2] => 1011011 => 2
[1,4,8,6,2,7,3,5] => 0011010 => 2
[8,4,5,7,1,6,3,2] => 1001011 => 2
[3,5,6,8,4,1,7,2] => 0001101 => 1
[6,2,3,1,5,4,7,8] => 1010100 => 3
[7,2,3,1,4,6,5,8] => 1010010 => 3
[8,2,3,1,4,5,7,6] => 1010001 => 2
[8,5,1,3,2,4,7,6] => 1101001 => 2
[7,5,1,3,2,6,4,8] => 1101010 => 3
[2,6,1,4,5,3,7,8] => 0100100 => 2
[3,6,4,1,5,2,7,8] => 0110100 => 2
[4,5,6,1,3,2,7,8] => 0010100 => 2
[4,5,7,1,2,6,3,8] => 0010010 => 2
[3,7,4,1,2,6,5,8] => 0110010 => 2
[6,7,1,4,2,5,3,8] => 0101010 => 3
[2,7,1,3,5,6,4,8] => 0100010 => 2
[8,6,1,2,4,3,7,5] => 1100101 => 2
[2,8,1,3,4,6,7,5] => 0100001 => 1
[7,8,1,2,5,3,6,4] => 0100101 => 2
[3,8,4,1,2,5,7,6] => 0110001 => 1
[1,2,6,7,5,3,8,4] => 0001101 => 1
[1,7,5,3,2,8,4,6] => 0111010 => 2
[1,6,7,5,3,8,4,2] => 0011011 => 1
[1,6,5,7,2,3,8,4] => 0101001 => 2
[1,3,8,2,6,5,7,4] => 0010101 => 2
[1,2,5,7,6,3,4,8] => 0001100 => 1
[1,3,4,8,2,5,7,6] => 0001001 => 1
[1,5,7,6,2,3,4,8] => 0011000 => 1
[1,5,3,8,2,6,4,7] => 0101010 => 3
[1,4,8,3,2,5,7,6] => 0011001 => 1
[1,4,8,3,5,7,6,2] => 0010011 => 1
[1,2,4,8,3,5,7,6] => 0001001 => 1
[1,3,8,4,2,6,7,5] => 0011001 => 1
[1,4,8,2,3,5,7,6] => 0010001 => 1
[6,5,7,3,8,2,4,1] => 1010101 => 3
[4,2,6,7,5,8,3,1] => 1001011 => 2
[6,7,5,2,1,8,4,3] => 0111011 => 1
[3,4,8,7,5,2,1,6] => 0011110 => 1
[1,7,5,2,8,4,6,3] => 0110101 => 2
[5,6,8,3,1,7,2,4] => 0011010 => 2
[6,1,4,8,3,2,7,5] => 1001101 => 2
[3,4,7,1,8,6,2,5] => 0010110 => 2
[3,4,6,8,2,1,5,7] => 0001100 => 1
[3,8,2,5,6,1,4,7] => 0100100 => 2
[3,5,2,8,6,4,1,7] => 0101110 => 2
[4,2,5,7,3,8,6,1] => 1001011 => 2
[7,4,2,5,3,8,1,6] => 1101010 => 3
[3,1,2,8,5,6,4,7] => 1001010 => 3
[5,2,1,6,8,3,4,7] => 1100100 => 2
[5,2,6,8,4,1,3,7] => 1001100 => 2
[1,5,6,8,3,4,2,7] => 0001010 => 2
[4,5,8,1,6,3,2,7] => 0010110 => 2
[4,5,1,6,8,3,2,7] => 0100110 => 2
[4,5,7,3,8,2,6,1] => 0010101 => 2
[6,4,3,7,8,2,5,1] => 1100101 => 2
[6,4,3,1,7,8,2,5] => 1110010 => 2
[4,5,3,1,7,8,2,6] => 0110010 => 2
[7,1,3,5,4,8,2,6] => 1001010 => 3
[7,5,2,8,1,4,3,6] => 1101010 => 3
[5,7,3,8,4,6,1,2] => 0101010 => 3
[1,4,5,7,3,8,6,2] => 0001011 => 1
[4,6,3,7,8,5,2,1] => 0100111 => 1
[5,3,6,7,8,4,2,1] => 1000111 => 1
[1,5,3,6,7,8,4,2] => 0100011 => 1
[4,6,1,7,3,8,5,2] => 0101011 => 2
[6,3,7,1,8,4,5,2] => 1010101 => 3
[6,7,2,4,8,1,5,3] => 0100101 => 2
[2,6,1,4,7,3,8,5] => 0100101 => 2
[3,2,5,6,7,8,1,4] => 1000010 => 2
[5,2,3,6,7,8,4,1] => 1000011 => 1
[6,7,1,3,2,8,4,5] => 0101010 => 3
[6,2,7,1,3,4,8,5] => 1010001 => 2
[5,2,1,7,3,8,4,6] => 1101010 => 3
[6,4,2,7,1,8,3,5] => 1101010 => 3
[4,2,6,3,7,8,1,5] => 1010010 => 3
[4,2,6,3,7,8,5,1] => 1010011 => 2
[6,7,3,8,2,4,5,1] => 0101001 => 2
[3,6,2,7,4,1,8,5] => 0101101 => 2
[6,7,3,2,1,4,8,5] => 0111001 => 1
[7,1,8,3,4,2,5,6] => 1010100 => 3
[7,2,4,1,8,3,5,6] => 1010100 => 3
[7,2,4,8,6,1,3,5] => 1001100 => 2
[7,3,4,8,6,2,1,5] => 1001110 => 2
[3,5,7,2,1,8,6,4] => 0011011 => 1
[6,7,8,3,2,5,1,4] => 0011010 => 2
[6,3,7,8,2,5,4,1] => 1001011 => 2
[2,6,7,4,8,5,3,1] => 0010111 => 1
[6,2,4,7,1,8,5,3] => 1001011 => 2
[4,6,2,7,1,8,5,3] => 0101011 => 2
[1,7,4,8,5,2,6,3] => 0101101 => 2
[1,3,7,8,5,2,6,4] => 0001101 => 1
[2,5,7,8,1,6,3,4] => 0001010 => 2
[6,3,7,1,8,2,5,4] => 1010101 => 3
[1,6,4,7,8,2,5,3] => 0100101 => 2
[2,5,6,1,7,8,4,3] => 0010011 => 1
[5,6,1,2,7,8,4,3] => 0100011 => 1
[6,7,2,1,8,5,3,4] => 0110110 => 2
[6,7,2,8,5,4,1,3] => 0101110 => 2
[1,6,7,4,8,5,3,2] => 0010111 => 1
[1,8,2,4,6,3,5,7] => 0100100 => 2
[1,5,7,4,3,6,2,8] => 0011010 => 2
[1,8,4,5,3,6,2,7] => 0101010 => 3
[1,8,5,3,4,7,2,6] => 0110010 => 2
[1,8,2,4,6,3,7,5] => 0100101 => 2
[1,8,2,5,4,6,7,3] => 0101001 => 2
[3,6,2,7,1,4,5,8] => 0101000 => 2
[1,4,7,5,2,6,8,3] => 0011001 => 1
[4,6,5,3,7,1,8,2] => 0110101 => 2
[4,2,3,8,6,7,1,5] => 1001010 => 3
[5,2,4,8,1,3,7,6] => 1001001 => 2
[6,2,5,4,8,3,7,1] => 1010101 => 3
[6,4,3,5,8,2,7,1] => 1100101 => 2
[5,2,3,4,8,1,6,7] => 1000100 => 2
[3,5,2,4,7,1,6,8] => 0100100 => 2
[5,3,4,8,1,6,2,7] => 1001010 => 3
[4,5,3,7,1,6,2,8] => 0101010 => 3
[6,2,4,8,5,1,3,7] => 1001100 => 2
[7,6,3,8,5,1,2,4] => 1101100 => 2
[4,2,6,7,3,8,1,5] => 1001010 => 3
[1,5,7,4,2,8,6,3] => 0011011 => 1
[1,3,7,2,8,6,4,5] => 0010110 => 2
[1,4,3,7,8,6,2,5] => 0100110 => 2
[1,5,3,6,8,2,7,4] => 0100101 => 2
[4,3,6,5,7,8,1,2] => 1010010 => 3
[4,2,3,5,6,8,1,7] => 1000010 => 2
[4,2,6,7,3,8,5,1] => 1001011 => 2
[3,2,5,6,8,1,7,4] => 1000101 => 2
[6,4,5,2,3,8,7,1] => 1010011 => 2
[8,4,6,7,5,2,3,1] => 1001101 => 2
[4,6,5,2,3,1,8,7] => 0110101 => 2
[6,4,2,5,3,1,8,7] => 1101101 => 2
[6,4,2,5,3,8,7,1] => 1101011 => 2
[8,6,4,7,5,2,3,1] => 1101101 => 2
[8,6,2,7,4,5,3,1] => 1101011 => 2
[6,4,2,5,8,7,3,1] => 1100111 => 1
[4,6,2,5,3,8,7,1] => 0101011 => 2
[4,6,5,2,3,8,7,1] => 0110011 => 1
[6,8,7,4,5,2,3,1] => 0110101 => 2
[4,8,6,7,5,2,3,1] => 0101101 => 2
[6,8,4,7,5,2,3,1] => 0101101 => 2
[6,8,2,7,4,5,3,1] => 0101011 => 2
[8,6,4,7,2,5,3,1] => 1101011 => 2
[8,6,2,4,7,5,3,1] => 1100111 => 1
[6,8,2,4,7,5,3,1] => 0100111 => 1
[4,8,2,6,7,5,3,1] => 0100111 => 1
[2,8,4,6,7,5,3,1] => 0100111 => 1
[2,8,6,7,4,5,3,1] => 0101011 => 2
[6,8,7,2,4,5,3,1] => 0110011 => 1
[2,6,4,5,8,7,3,1] => 0100111 => 1
[2,6,4,8,7,5,3,1] => 0101111 => 1
[4,6,2,8,7,5,3,1] => 0101111 => 1
[8,2,4,6,7,5,3,1] => 1000111 => 1
[6,2,4,8,7,5,3,1] => 1001111 => 1
[4,2,6,8,7,5,3,1] => 1001111 => 1
[4,2,6,5,8,7,3,1] => 1010111 => 2
[6,2,4,5,8,7,3,1] => 1000111 => 1
[8,2,6,7,4,5,3,1] => 1001011 => 2
[8,6,7,2,4,5,3,1] => 1010011 => 2
[6,4,5,2,8,7,3,1] => 1010111 => 2
[4,2,3,6,8,7,5,1] => 1000111 => 1
[6,4,5,8,7,2,3,1] => 1001101 => 2
[8,6,7,4,2,5,3,1] => 1011011 => 2
[8,4,6,7,2,5,3,1] => 1001011 => 2
[6,4,8,7,2,5,3,1] => 1011011 => 2
[6,2,8,7,4,5,3,1] => 1011011 => 2
[6,4,8,7,5,2,3,1] => 1011101 => 2
[4,6,8,7,5,2,3,1] => 0011101 => 1
[4,6,5,8,7,2,3,1] => 0101101 => 2
[2,1,6,8,7,4,5,3] => 1001101 => 2
[2,6,8,7,4,5,3,1] => 0011011 => 1
[2,4,8,6,7,5,3,1] => 0010111 => 1
[4,2,8,6,7,5,3,1] => 1010111 => 2
[6,2,8,4,7,5,3,1] => 1010111 => 2
[8,2,6,4,7,5,3,1] => 1010111 => 2
[6,4,8,2,7,5,3,1] => 1010111 => 2
[4,6,8,2,7,5,3,1] => 0010111 => 1
[2,6,8,4,7,5,3,1] => 0010111 => 1
[4,6,8,7,2,5,3,1] => 0011011 => 1
[4,6,5,8,2,7,3,1] => 0101011 => 2
[2,1,6,8,4,7,5,3] => 1001011 => 2
[2,1,8,6,4,7,5,3] => 1011011 => 2
[6,8,7,4,2,5,3,1] => 0111011 => 1
[2,8,6,4,7,5,3,1] => 0110111 => 1
[4,8,6,2,7,5,3,1] => 0110111 => 1
[9,8,7,3,6,2,5,1,4] => 11101010 => 3
[9,8,7,6,3,5,1,2,4] => 11110100 => 2
[9,4,8,3,7,2,6,1,5] => 10101010 => 4
[9,8,4,7,3,6,1,2,5] => 11010100 => 3
[9,8,7,2,4,6,1,3,5] => 11100100 => 2
[9,8,7,4,6,1,2,3,5] => 11101000 => 2
[5,9,4,8,3,7,1,2,6] => 01010100 => 3
[9,5,8,2,4,7,1,3,6] => 10100100 => 3
[9,5,8,4,7,1,2,3,6] => 10101000 => 3
[9,8,3,5,7,1,2,4,6] => 11001000 => 2
[9,8,5,7,1,2,3,4,6] => 11010000 => 2
[6,9,3,5,8,1,2,4,7] => 01001000 => 2
[6,9,5,8,1,2,3,4,7] => 01010000 => 2
[9,2,4,6,8,1,3,5,7] => 10001000 => 2
[9,4,6,8,1,2,3,5,7] => 10010000 => 2
[9,6,8,1,2,3,4,5,7] => 10100000 => 2
[3,5,7,9,1,2,4,6,8] => 00010000 => 1
[5,7,9,1,2,3,4,6,8] => 00100000 => 1
[7,9,1,2,3,4,5,6,8] => 01000000 => 1
[10,9,8,7,6,5,2,4,1,3] => 111111010 => 2
[10,9,8,7,3,6,2,5,1,4] => 111101010 => 3
[10,9,8,7,6,3,5,1,2,4] => 111110100 => 2
[10,9,4,8,3,7,2,6,1,5] => 110101010 => 4
[10,9,8,4,7,3,6,1,2,5] => 111010100 => 3
[10,9,8,7,2,4,6,1,3,5] => 111100100 => 2
[10,9,8,7,4,6,1,2,3,5] => 111101000 => 2
[10,5,9,4,8,3,7,1,2,6] => 101010100 => 4
[10,9,5,8,2,4,7,1,3,6] => 110100100 => 3
[10,9,5,8,4,7,1,2,3,6] => 110101000 => 3
[10,9,8,3,5,7,1,2,4,6] => 111001000 => 2
[10,9,8,5,7,1,2,3,4,6] => 111010000 => 2
[6,10,5,9,2,4,8,1,3,7] => 010100100 => 3
[6,10,5,9,4,8,1,2,3,7] => 010101000 => 3
[10,3,6,9,2,5,8,1,4,7] => 100100100 => 3
[10,6,9,3,5,8,1,2,4,7] => 101001000 => 3
[10,6,9,5,8,1,2,3,4,7] => 101010000 => 3
[10,9,2,4,6,8,1,3,5,7] => 110001000 => 2
[10,9,4,6,8,1,2,3,5,7] => 110010000 => 2
[10,9,6,8,1,2,3,4,5,7] => 110100000 => 2
[4,7,10,3,6,9,1,2,5,8] => 001001000 => 2
[7,10,2,4,6,9,1,3,5,8] => 010001000 => 2
[7,10,4,6,9,1,2,3,5,8] => 010010000 => 2
[7,10,6,9,1,2,3,4,5,8] => 010100000 => 2
[10,3,5,7,9,1,2,4,6,8] => 100010000 => 2
[10,5,7,9,1,2,3,4,6,8] => 100100000 => 2
[10,7,9,1,2,3,4,5,6,8] => 101000000 => 2
[4,6,8,10,1,2,3,5,7,9] => 000100000 => 1
[6,8,10,1,2,3,4,5,7,9] => 001000000 => 1
[4,2,5,6,3,8,1,7] => 1001010 => 3
[6,2,5,7,4,8,3,1] => 1001011 => 2
[8,5,2,1,4,7,6,3] => 1110011 => 1
[6,7,3,2,5,8,4,1] => 0110011 => 1
[3,2,6,4,8,1,5,7] => 1010100 => 3
[2,3,6,4,7,8,5,1] => 0010011 => 1
[7,5,1,8,3,4,6,2] => 1101001 => 2
[5,7,8,2,6,3,4,1] => 0010101 => 2
[7,1,6,3,5,8,4,2] => 1010011 => 2
[6,3,1,7,8,4,5,2] => 1100101 => 2
[5,3,6,7,4,1,8,2] => 1001101 => 2
[7,3,1,2,5,8,6,4] => 1100011 => 1
[1,6,3,5,2,4,8,7] => 0101001 => 2
[3,4,8,2,7,5,1,6] => 0010110 => 2
[6,3,2,8,5,7,4,1] => 1101011 => 2
[3,8,4,7,2,5,6,1] => 0101001 => 2
[2,4,8,1,5,3,7,6] => 0010101 => 2
[3,4,8,1,6,2,7,5] => 0010101 => 2
[1,8,4,6,7,3,5,2] => 0100101 => 2
[8,1,6,3,4,5,7,2] => 1010001 => 2
[7,6,5,4,1,2,8,3] => 1111001 => 1
[5,7,6,8,3,4,2,1] => 0101011 => 2
[2,8,1,6,5,7,4,3] => 0101011 => 2
[4,6,8,2,5,3,7,1] => 0010101 => 2
[5,2,3,7,6,1,8,4] => 1001101 => 2
[8,1,2,4,6,7,3,5] => 1000010 => 2
[5,2,3,7,4,8,6,1] => 1001011 => 2
[5,2,6,8,4,3,1,7] => 1001110 => 2
[7,8,1,5,4,3,6,2] => 0101101 => 2
[7,2,4,8,5,3,6,1] => 1001101 => 2
[3,7,5,1,8,4,6,2] => 0110101 => 2
[2,7,8,5,4,6,1,3] => 0011010 => 2
[5,7,4,3,8,6,2,1] => 0110111 => 1
[4,8,1,6,3,5,2,7] => 0101010 => 3
[8,3,1,7,4,2,5,6] => 1101100 => 2
[3,1,8,2,4,5,7,6] => 1010001 => 2
[8,1,3,7,6,2,4,5] => 1001100 => 2
[2,3,6,8,7,1,4,5] => 0001100 => 1
[4,3,2,8,5,7,1,6] => 1101010 => 3
[3,6,4,2,8,5,7,1] => 0110101 => 2
[4,7,3,2,5,1,8,6] => 0110101 => 2
[3,2,4,7,5,8,6,1] => 1001011 => 2
[4,2,3,8,6,5,1,7] => 1001110 => 2
[2,4,3,5,1,8,6,7] => 0101010 => 3
[3,2,8,1,4,6,5,7] => 1010010 => 3
[3,7,8,5,6,1,2,4] => 0010100 => 2
[3,6,1,8,4,7,2,5] => 0101010 => 3
[3,1,6,8,4,7,2,5] => 1001010 => 3
[4,1,6,8,3,2,7,5] => 1001101 => 2
[4,6,1,8,3,2,7,5] => 0101101 => 2
[4,7,8,1,3,2,6,5] => 0010101 => 2
[4,7,8,3,1,2,6,5] => 0011001 => 1
[2,7,8,3,4,6,5,1] => 0010011 => 1
[4,7,8,2,1,3,6,5] => 0011001 => 1
[4,6,1,8,2,3,7,5] => 0101001 => 2
[4,1,6,8,2,3,7,5] => 1001001 => 2
[4,5,1,2,8,3,7,6] => 0100101 => 2
[4,5,2,1,8,3,7,6] => 0110101 => 2
[4,6,2,8,1,3,7,5] => 0101001 => 2
[3,6,2,8,4,7,1,5] => 0101010 => 3
[2,3,6,8,4,7,5,1] => 0001011 => 1
[3,2,6,8,4,7,1,5] => 1001010 => 3
[4,2,6,8,3,1,7,5] => 1001101 => 2
[4,2,5,1,8,3,7,6] => 1010101 => 3
[4,1,2,5,8,3,7,6] => 1000101 => 2
[5,1,2,4,3,8,7,6] => 1001011 => 2
[5,2,4,1,3,8,7,6] => 1010011 => 2
[4,2,5,3,8,1,7,6] => 1010101 => 3
[3,2,5,4,8,7,1,6] => 1010110 => 3
[3,5,2,4,8,7,1,6] => 0100110 => 2
[5,4,2,1,3,8,7,6] => 1110011 => 1
[5,1,4,2,3,8,7,6] => 1010011 => 2
[5,4,1,3,2,8,7,6] => 1101011 => 2
[5,4,3,1,2,8,7,6] => 1110011 => 1
[4,5,3,1,8,2,7,6] => 0110101 => 2
[4,5,1,3,8,2,7,6] => 0100101 => 2
[3,1,5,4,8,7,2,6] => 1010110 => 3
[3,5,1,4,8,7,2,6] => 0100110 => 2
[3,5,4,1,8,7,2,6] => 0110110 => 2
[3,6,5,8,7,1,2,4] => 0101100 => 2
[2,5,6,8,7,3,4,1] => 0001101 => 1
[3,4,5,1,8,7,2,6] => 0010110 => 2
[3,4,1,5,8,7,2,6] => 0100110 => 2
[4,1,3,5,8,2,7,6] => 1000101 => 2
[4,3,6,8,2,1,7,5] => 1001101 => 2
[2,4,6,8,3,7,5,1] => 0001011 => 1
[3,4,5,2,8,7,1,6] => 0010110 => 2
[5,3,1,4,2,8,7,6] => 1101011 => 2
[5,1,3,4,2,8,7,6] => 1001011 => 2
[5,1,3,2,4,8,7,6] => 1010011 => 2
[5,3,2,1,4,8,7,6] => 1110011 => 1
[4,3,2,5,8,1,7,6] => 1100101 => 2
[3,4,2,5,8,7,1,6] => 0100110 => 2
[3,2,4,5,8,7,1,6] => 1000110 => 2
[4,2,3,5,8,1,7,6] => 1000101 => 2
[5,2,3,1,4,8,7,6] => 1010011 => 2
[5,2,1,3,4,8,7,6] => 1100011 => 1
[5,1,2,3,4,8,7,6] => 1000011 => 1
[8,6,2,5,4,1,3,7] => 1101100 => 2
[6,5,7,4,2,8,3,1] => 1011011 => 2
[6,7,5,3,8,2,4,1] => 0110101 => 2
[8,2,1,6,3,4,5,7] => 1101000 => 2
[8,3,5,6,2,4,1,7] => 1001010 => 3
[8,6,2,1,3,5,4,7] => 1110010 => 2
[8,1,2,3,4,6,5,7] => 1000010 => 2
[6,2,3,7,8,4,5,1] => 1000101 => 2
[7,5,8,2,6,3,4,1] => 1010101 => 3
[7,3,1,6,5,8,4,2] => 1101011 => 2
[1,5,6,7,3,4,8,2] => 0001001 => 1
[6,7,8,2,1,4,5,3] => 0011001 => 1
[8,4,7,6,2,1,3,5] => 1011100 => 2
[5,3,8,4,7,2,6,1] => 1010101 => 3
[8,1,3,7,6,4,2,5] => 1001110 => 2
[5,3,1,7,8,6,2,4] => 1100110 => 2
[3,5,8,2,7,1,6,4] => 0010101 => 2
[6,2,8,5,3,1,7,4] => 1011101 => 2
[8,2,6,4,7,1,3,5] => 1010100 => 3
[3,4,2,8,5,1,7,6] => 0101101 => 2
[3,8,6,5,2,1,7,4] => 0111101 => 1
[8,3,7,4,2,5,6,1] => 1011001 => 2
[4,8,5,7,2,1,3,6] => 0101100 => 2
[3,4,1,8,2,6,7,5] => 0101001 => 2
[8,4,6,3,7,1,5,2] => 1010101 => 3
[6,8,3,4,1,5,7,2] => 0101001 => 2
[5,1,7,6,2,8,4,3] => 1011011 => 2
[6,8,2,5,7,4,1,3] => 0100110 => 2
[2,8,5,6,7,1,3,4] => 0100100 => 2
[2,5,7,6,3,1,8,4] => 0011101 => 1
[4,2,8,3,1,5,6,7] => 1011000 => 2
[2,5,7,3,8,4,6,1] => 0010101 => 2
[4,2,7,1,8,5,3,6] => 1010110 => 3
[4,2,1,8,7,5,6,3] => 1101101 => 2
[8,3,6,7,1,5,4,2] => 1001011 => 2
[1,3,7,5,8,6,4,2] => 0010111 => 1
[5,7,8,4,3,1,6,2] => 0011101 => 1
[2,7,4,5,8,3,6,1] => 0100101 => 2
[3,5,7,1,4,8,6,2] => 0010011 => 1
[7,2,8,5,1,4,6,3] => 1011001 => 2
[1,6,5,3,8,4,2,7] => 0110110 => 2
[5,7,4,8,3,6,2,1] => 0101011 => 2
[4,8,6,1,3,5,2,7] => 0110010 => 2
[1,8,3,2,4,7,5,6] => 0110010 => 2
[8,4,3,2,5,7,1,6] => 1110010 => 2
[3,6,4,8,2,5,7,1] => 0101001 => 2
[4,3,7,2,5,8,1,6] => 1010010 => 3
[3,2,4,7,8,5,6,1] => 1000101 => 2
[2,6,4,3,8,5,1,7] => 0110110 => 2
[3,8,2,1,6,4,5,7] => 0110100 => 2
[8,2,1,3,4,5,7,6] => 1100001 => 1
[4,6,8,3,2,1,5,7] => 0011100 => 1
[3,2,6,8,5,4,1,7] => 1001110 => 2
[7,3,8,2,5,4,1,6] => 1010110 => 3
[4,2,5,3,8,7,6,1] => 1010111 => 2
[4,8,2,6,5,3,1,7] => 0101110 => 2
[2,6,8,5,4,1,3,7] => 0011100 => 1
[3,1,8,6,5,4,2,7] => 1011110 => 2
[5,4,8,7,3,2,6,1] => 1011101 => 2
[6,4,8,3,7,2,5,1] => 1010101 => 3
[4,7,3,6,2,1,8,5] => 0101101 => 2
[5,4,3,7,1,8,2,6] => 1101010 => 3
[7,3,8,5,1,4,2,6] => 1011010 => 3
[5,4,8,7,6,2,1,3] => 1011110 => 2
[3,8,1,5,7,4,6,2] => 0100101 => 2
[4,8,5,7,3,1,6,2] => 0101101 => 2
[1,5,4,8,3,7,6,2] => 0101011 => 2
[4,8,3,6,7,1,5,2] => 0100101 => 2
[4,7,8,3,1,6,5,2] => 0011011 => 1
[8,7,5,3,6,4,2,1] => 1110111 => 1
[4,6,1,3,8,7,5,2] => 0100111 => 1
[6,8,2,1,7,4,5,3] => 0110101 => 2
[3,7,1,6,4,2,8,5] => 0101101 => 2
[3,1,2,7,5,6,8,4] => 1001001 => 2
[3,6,1,2,7,5,8,4] => 0100101 => 2
[3,7,6,2,5,8,1,4] => 0110010 => 2
[3,6,2,5,8,7,4,1] => 0100111 => 1
[8,5,2,3,6,7,4,1] => 1100011 => 1
[4,7,2,6,3,8,1,5] => 0101010 => 3
[6,3,2,4,8,7,5,1] => 1100111 => 1
[3,7,2,4,6,1,8,5] => 0100101 => 2
[5,3,7,2,8,1,4,6] => 1010100 => 3
[6,3,2,8,7,5,1,4] => 1101110 => 2
[7,3,8,2,6,5,1,4] => 1010110 => 3
[6,4,8,7,2,5,1,3] => 1011010 => 3
[2,5,4,8,1,7,6,3] => 0101011 => 2
[5,2,8,1,7,6,3,4] => 1010110 => 3
[6,2,1,3,8,7,5,4] => 1100111 => 1
[3,6,1,8,7,5,2,4] => 0101110 => 2
[5,6,1,2,8,7,4,3] => 0100111 => 1
[7,5,2,8,1,6,4,3] => 1101011 => 2
[2,7,6,8,1,5,4,3] => 0101011 => 2
[7,8,5,1,6,2,4,3] => 0110101 => 2
[7,4,8,6,1,2,5,3] => 1011001 => 2
[7,2,1,8,3,6,5,4] => 1101011 => 2
[5,8,7,1,6,4,3,2] => 0110111 => 1
[7,6,5,4,3,2,9,8,1] => 11111011 => 1
[11,9,8,7,6,5,4,3,2,1,10] => 1111111110 => 1
[10,7,6,5,4,3,2,1,9,8] => 111111101 => 1
[9,6,5,4,3,2,8,1,7] => 11111010 => 2
[9,7,5,4,3,2,1,8,6] => 11111101 => 1
[8,5,4,3,7,2,1,6] => 1110110 => 2
[6,5,4,8,3,2,7,1] => 1101101 => 2
[7,6,5,4,3,9,2,8,1] => 11110101 => 2
[7,6,4,3,2,8,5,1] => 1111011 => 1
[8,6,5,4,3,2,9,7,1] => 11111011 => 1
[8,7,6,5,4,3,2,10,9,1] => 111111011 => 1
[10,9,8,7,6,5,4,3,2,11,1] => 1111111101 => 1
[7,3,1,4,8,2,5,6] => 1100100 => 2
[7,4,1,2,5,8,3,6] => 1100010 => 2
[6,7,4,2,5,1,3,8] => 0110100 => 2
[5,7,2,4,6,8,1,3] => 0100010 => 2
[4,7,5,1,6,2,8,3] => 0110101 => 2
[5,7,4,6,3,1,8,2] => 0101101 => 2
[7,5,1,4,3,2,8,6] => 1101101 => 2
[8,6,4,2,3,7,5,1] => 1110011 => 1
[6,4,7,1,3,8,5,2] => 1010011 => 2
[5,4,2,7,3,1,6,8] => 1101100 => 2
[4,5,1,2,7,6,8,3] => 0100101 => 2
[5,4,6,8,3,1,2,7] => 1001100 => 2
[6,4,8,1,3,7,2,5] => 1010010 => 3
[4,6,1,3,8,5,2,7] => 0100110 => 2
[1,3,8,4,5,7,2,6] => 0010010 => 2
[2,6,7,4,5,3,1,8] => 0010110 => 2
[2,6,8,4,3,5,1,7] => 0011010 => 2
[1,3,7,4,2,8,5,6] => 0011010 => 2
[4,6,1,3,7,2,5,8] => 0100100 => 2
[7,5,8,6,2,1,3,4] => 1011100 => 2
[2,8,1,3,6,5,4,7] => 0100110 => 2
[2,8,7,3,5,4,1,6] => 0110110 => 2
[3,4,2,6,8,7,1,5] => 0100110 => 2
[7,4,2,3,6,1,8,5] => 1100101 => 2
[8,4,2,3,6,5,7,1] => 1100101 => 2
[7,3,8,4,1,2,6,5] => 1011001 => 2
[6,8,3,2,7,1,5,4] => 0110101 => 2
[2,8,5,6,3,7,1,4] => 0101010 => 3
[7,4,2,5,8,1,6,3] => 1100101 => 2
[2,7,8,3,4,5,1,6] => 0010010 => 2
[3,7,1,2,4,6,5,8] => 0100010 => 2
[7,5,6,8,2,1,4,3] => 1001101 => 2
[3,1,6,5,2,7,4,8] => 1011010 => 3
[2,8,6,5,3,4,1,7] => 0111010 => 2
[1,7,2,3,5,6,8,4] => 0100001 => 1
[3,7,4,2,1,5,6,8] => 0111000 => 1
[3,4,6,2,8,5,7,1] => 0010101 => 2
[4,2,1,7,5,8,3,6] => 1101010 => 3
[4,7,2,6,5,1,3,8] => 0101100 => 2
[3,7,4,1,2,5,8,6] => 0110001 => 1
[4,7,1,6,5,2,8,3] => 0101101 => 2
[4,7,3,6,5,1,8,2] => 0101101 => 2
[4,3,7,1,6,8,5,2] => 1010011 => 2
[4,2,1,7,5,6,8,3] => 1101001 => 2
[3,2,4,8,6,7,1,5] => 1001010 => 3
[4,2,6,8,7,3,1,5] => 1001110 => 2
[3,4,6,1,8,5,2,7] => 0010110 => 2
[4,1,6,7,5,8,2,3] => 1001010 => 3
[4,3,6,7,5,1,2,8] => 1001100 => 2
[4,3,7,1,6,8,2,5] => 1010010 => 3
[4,3,7,5,6,8,2,1] => 1010011 => 2
[4,1,7,3,6,5,2,8] => 1010110 => 3
[2,8,7,4,5,3,1,6] => 0110110 => 2
[2,8,7,4,3,5,1,6] => 0111010 => 2
[3,8,1,4,2,6,5,7] => 0101010 => 3
[4,1,7,3,6,2,5,8] => 1010100 => 3
[5,8,7,6,1,2,4,3] => 0111001 => 1
[5,8,7,6,2,1,3,4] => 0111100 => 1
[4,1,7,2,6,8,5,3] => 1010011 => 2
[4,2,7,3,6,1,8,5] => 1010101 => 3
[4,2,7,3,6,5,8,1] => 1010101 => 3
[3,8,2,4,5,6,7,1] => 0100001 => 1
[3,8,2,4,1,6,7,5] => 0101001 => 2
[3,8,5,6,2,4,1,7] => 0101010 => 3
[2,8,6,5,3,7,1,4] => 0111010 => 2
[3,8,6,5,1,4,7,2] => 0111001 => 1
[3,8,2,1,4,6,7,5] => 0110001 => 1
[3,8,2,5,4,6,7,1] => 0101001 => 2
[4,2,7,5,6,3,8,1] => 1010101 => 3
[4,2,7,5,6,1,8,3] => 1010101 => 3
[4,2,6,7,5,3,1,8] => 1001110 => 2
[3,2,6,1,4,5,8,7] => 1010001 => 2
[2,8,7,3,4,5,1,6] => 0110010 => 2
[3,8,1,2,4,6,5,7] => 0100010 => 2
[5,8,7,6,1,3,4,2] => 0111001 => 1
[5,8,7,6,2,3,4,1] => 0111001 => 1
[4,1,7,5,6,2,3,8] => 1010100 => 3
[3,8,1,5,2,6,4,7] => 0101010 => 3
[2,8,7,5,3,4,1,6] => 0111010 => 2
[2,8,7,5,4,3,1,6] => 0111110 => 1
[4,1,7,5,6,3,2,8] => 1010110 => 3
[5,8,7,6,1,3,2,4] => 0111010 => 2
[5,8,7,6,4,1,2,3] => 0111100 => 1
[5,4,2,3,7,6,8,1] => 1100101 => 2
[7,4,3,5,2,8,1,6] => 1101010 => 3
[8,4,3,7,5,1,6,2] => 1101101 => 2
[8,4,7,2,5,1,6,3] => 1010101 => 3
[7,4,6,2,3,5,8,1] => 1010001 => 2
[5,1,7,2,4,6,8,3] => 1010001 => 2
[4,5,7,1,2,6,8,3] => 0010001 => 1
[5,4,1,7,3,6,8,2] => 1101001 => 2
[3,6,4,7,5,2,8,1] => 0101101 => 2
[3,4,7,6,2,5,8,1] => 0011001 => 1
[4,7,5,6,1,3,8,2] => 0101001 => 2
[5,7,6,4,3,1,8,2] => 0111101 => 1
[5,7,6,3,1,4,8,2] => 0111001 => 1
[7,5,2,3,4,8,1,6] => 1100010 => 2
[8,7,5,3,4,1,6,2] => 1110101 => 2
[6,7,1,3,8,4,2,5] => 0100110 => 2
[7,6,1,3,4,8,5,2] => 1100011 => 1
[3,6,5,2,7,8,1,4] => 0110010 => 2
[3,2,8,6,7,1,4,5] => 1010100 => 3
[4,8,3,6,5,2,1,7] => 0101110 => 2
[1,8,6,5,4,2,3,7] => 0111100 => 1
[1,8,7,2,3,5,4,6] => 0110010 => 2
[1,8,7,2,5,3,4,6] => 0110100 => 2
[3,6,8,5,1,2,4,7] => 0011000 => 1
[3,7,5,1,8,2,6,4] => 0110101 => 2
[7,1,2,8,3,5,6,4] => 1001001 => 2
[6,1,7,8,2,5,3,4] => 1001010 => 3
[6,7,5,2,8,1,4,3] => 0110101 => 2
[7,1,4,5,8,6,2,3] => 1000110 => 2
[5,7,6,4,2,8,1,3] => 0111010 => 2
[7,5,6,1,2,8,4,3] => 1010011 => 2
[4,1,3,7,8,6,2,5] => 1000110 => 2
[5,1,4,3,6,8,7,2] => 1010011 => 2
[4,5,7,6,8,2,1,3] => 0010110 => 2
[5,7,6,8,4,2,1,3] => 0101110 => 2
[5,1,6,8,4,2,7,3] => 1001101 => 2
[7,4,8,2,3,6,5,1] => 1010011 => 2
[5,6,8,4,7,3,2,1] => 0010111 => 1
[6,4,7,8,5,2,1,3] => 1001110 => 2
[3,6,4,8,5,1,2,7] => 0101100 => 2
[3,7,4,8,1,2,5,6] => 0101000 => 2
[7,4,3,8,2,6,5,1] => 1101011 => 2
[7,6,8,3,2,5,4,1] => 1011011 => 2
[8,7,1,3,5,4,6,2] => 1100101 => 2
[7,1,8,3,4,2,6,5] => 1010101 => 3
[7,6,8,3,1,4,5,2] => 1011001 => 2
[3,1,4,8,2,5,7,6] => 1001001 => 2
[4,8,5,2,1,3,6,7] => 0111000 => 1
[5,8,2,6,3,1,4,7] => 0101100 => 2
[6,8,2,3,7,4,1,5] => 0100110 => 2
[7,8,2,3,4,6,5,1] => 0100011 => 1
[8,1,7,2,4,5,3,6] => 1010010 => 3
[8,1,3,6,2,5,4,7] => 1001010 => 3
[7,2,1,6,3,5,4,8] => 1101010 => 3
[2,7,1,6,3,5,4,8] => 0101010 => 3
[2,7,1,5,4,3,6,8] => 0101100 => 2
[7,2,1,5,4,3,6,8] => 1101100 => 2
[8,1,3,5,4,2,6,7] => 1001100 => 2
[8,1,5,3,4,2,6,7] => 1010100 => 3
[8,1,5,6,2,3,7,4] => 1001001 => 2
[8,1,4,5,3,2,6,7] => 1001100 => 2
[8,1,4,3,5,2,6,7] => 1010100 => 3
[7,2,1,4,5,3,6,8] => 1100100 => 2
[2,7,1,4,5,3,6,8] => 0100100 => 2
[2,6,3,1,5,4,7,8] => 0110100 => 2
[6,3,2,1,5,4,7,8] => 1110100 => 2
[7,3,1,4,5,2,6,8] => 1100100 => 2
[7,3,1,5,4,2,6,8] => 1101100 => 2
[7,3,1,6,2,5,4,8] => 1101010 => 3
[3,7,1,6,2,5,4,8] => 0101010 => 3
[3,7,1,4,5,2,6,8] => 0100100 => 2
[3,6,2,1,5,4,7,8] => 0110100 => 2
[2,3,6,1,5,4,7,8] => 0010100 => 2
[3,5,2,4,1,6,7,8] => 0101000 => 2
[6,3,4,1,5,2,7,8] => 1010100 => 3
[6,2,4,1,5,3,7,8] => 1010100 => 3
[2,6,4,1,5,3,7,8] => 0110100 => 2
[2,6,5,1,3,7,4,8] => 0110010 => 2
[6,2,5,1,3,7,4,8] => 1010010 => 3
[6,5,2,1,3,7,4,8] => 1110010 => 2
[7,6,1,2,4,5,3,8] => 1100010 => 2
[6,7,1,2,8,3,5,4] => 0100101 => 2
[6,7,1,2,5,4,3,8] => 0100110 => 2
[5,6,2,1,3,7,4,8] => 0110010 => 2
[5,2,6,1,3,7,4,8] => 1010010 => 3
[2,4,6,1,5,3,7,8] => 0010100 => 2
[4,7,1,3,5,2,6,8] => 0100100 => 2
[4,7,1,5,3,2,6,8] => 0101100 => 2
[5,7,1,4,2,6,3,8] => 0101010 => 3
[5,7,1,6,2,3,8,4] => 0101001 => 2
[5,6,3,1,2,7,4,8] => 0110010 => 2
[4,2,5,3,1,6,7,8] => 1011000 => 2
[5,3,6,1,2,7,4,8] => 1010010 => 3
[3,4,6,1,5,2,7,8] => 0010100 => 2
[6,5,1,8,7,3,4,2] => 1101101 => 2
[8,2,7,5,4,1,3,6] => 1011100 => 2
[6,8,5,2,3,4,1,7] => 0110010 => 2
[2,6,8,7,1,5,3,4] => 0011010 => 2
[8,5,6,2,7,1,4,3] => 1010101 => 3
[6,5,1,2,7,8,4,3] => 1100011 => 1
[4,7,6,1,5,3,8,2] => 0110101 => 2
[5,7,6,4,1,3,8,2] => 0111001 => 1
[7,6,2,4,5,3,8,1] => 1100101 => 2
[6,1,7,5,3,8,4,2] => 1011011 => 2
[8,6,7,5,3,1,4,2] => 1011101 => 2
[8,5,2,7,1,6,4,3] => 1101011 => 2
[7,6,1,5,3,8,4,2] => 1101011 => 2
[5,6,2,4,7,8,1,3] => 0100010 => 2
[3,4,6,1,7,8,5,2] => 0010011 => 1
[3,4,8,6,7,1,5,2] => 0010101 => 2
[4,8,5,6,7,2,3,1] => 0100101 => 2
[5,8,6,4,1,2,7,3] => 0111001 => 1
[5,8,6,1,7,2,4,3] => 0110101 => 2
[5,8,7,3,2,6,4,1] => 0111011 => 1
[5,8,1,7,2,6,4,3] => 0101011 => 2
[8,1,5,7,2,6,4,3] => 1001011 => 2
[8,1,7,2,5,6,3,4] => 1010010 => 3
[6,8,7,2,5,1,3,4] => 0110100 => 2
[5,8,7,2,1,6,3,4] => 0111010 => 2
[4,8,1,5,2,6,7,3] => 0101001 => 2
[3,7,8,5,1,6,2,4] => 0011010 => 2
[6,5,2,7,8,1,4,3] => 1100101 => 2
[7,1,2,8,5,6,3,4] => 1001010 => 3
[8,7,2,1,5,6,3,4] => 1110010 => 2
[8,6,7,1,5,2,3,4] => 1010100 => 3
[6,1,7,8,5,2,3,4] => 1001100 => 2
[7,5,6,2,1,8,4,3] => 1011011 => 2
[8,7,5,2,1,6,4,3] => 1111011 => 1
[7,1,3,5,8,6,2,4] => 1000110 => 2
[5,1,3,4,6,8,7,2] => 1000011 => 1
[4,5,3,6,8,2,7,1] => 0100101 => 2
[5,6,3,4,8,1,7,2] => 0100101 => 2
[4,6,7,8,5,1,3,2] => 0001101 => 1
[8,4,3,1,2,6,7,5] => 1110001 => 1
[8,5,1,6,3,4,7,2] => 1101001 => 2
[5,1,8,6,3,4,7,2] => 1011001 => 2
[4,6,8,1,5,3,7,2] => 0010101 => 2
[6,4,5,8,3,2,7,1] => 1001101 => 2
[3,6,4,8,7,1,5,2] => 0101101 => 2
[6,5,8,1,3,4,7,2] => 1010001 => 2
[5,6,8,3,1,2,7,4] => 0011001 => 1
[6,1,8,3,5,2,7,4] => 1010101 => 3
[7,6,8,3,5,2,1,4] => 1010110 => 3
[8,6,1,3,5,2,7,4] => 1100101 => 2
[8,7,1,3,5,6,2,4] => 1100010 => 2
[6,7,8,3,5,1,2,4] => 0010100 => 2
[3,4,8,1,2,6,7,5] => 0010001 => 1
[5,8,2,4,3,6,7,1] => 0101001 => 2
[5,8,2,3,1,6,7,4] => 0101001 => 2
[6,8,2,3,5,1,7,4] => 0100101 => 2
[7,8,2,3,5,6,1,4] => 0100010 => 2
[8,6,5,1,4,3,7,2] => 1110101 => 2
[2,4,8,6,1,3,7,5] => 0011001 => 1
[6,7,1,8,4,3,5,2] => 0101101 => 2
[2,7,8,6,1,4,3,5] => 0011010 => 2
[2,7,3,8,1,6,4,5] => 0101010 => 3
[7,5,1,8,2,4,6,3] => 1101001 => 2
[2,7,8,4,1,6,3,5] => 0011010 => 2
[2,6,5,4,1,3,8,7] => 0111001 => 1
[4,1,7,6,3,8,2,5] => 1011010 => 3
[4,8,2,5,7,6,3,1] => 0100111 => 1
[3,4,6,5,1,8,2,7] => 0011010 => 2
[2,6,5,3,4,1,8,7] => 0110101 => 2
[4,6,1,5,2,3,8,7] => 0101001 => 2
[6,2,3,5,1,4,8,7] => 1001001 => 2
[2,6,7,5,1,8,4,3] => 0011011 => 1
[8,6,1,2,5,3,4,7] => 1100100 => 2
[6,2,5,1,8,3,4,7] => 1010100 => 3
[7,6,5,2,8,3,4,1] => 1110101 => 2
[2,6,3,5,1,8,7,4] => 0101011 => 2
[2,4,7,6,5,8,1,3] => 0011010 => 2
[2,1,4,8,7,6,3,5] => 1001110 => 2
[7,4,6,8,5,3,2,1] => 1001111 => 1
[8,1,3,5,7,4,6,2] => 1000101 => 2
[3,2,8,7,5,1,6,4] => 1011101 => 2
[4,8,5,1,6,7,2,3] => 0110010 => 2
[3,8,5,1,6,7,2,4] => 0110010 => 2
[7,8,6,1,3,5,2,4] => 0110010 => 2
[5,6,7,2,8,1,3,4] => 0010100 => 2
[2,5,1,8,6,7,4,3] => 0101011 => 2
[3,5,1,8,6,7,4,2] => 0101011 => 2
[5,2,3,8,6,7,4,1] => 1001011 => 2
[8,3,5,4,6,7,1,2] => 1010010 => 3
[5,1,3,8,6,7,4,2] => 1001011 => 2
[3,2,5,8,6,7,4,1] => 1001011 => 2
[6,2,1,5,3,8,7,4] => 1101011 => 2
[5,6,3,2,8,1,4,7] => 0110100 => 2
[8,1,6,3,5,2,7,4] => 1010101 => 3
[8,7,6,2,5,3,1,4] => 1110110 => 2
[4,7,6,8,3,2,5,1] => 0101101 => 2
[2,7,5,8,1,3,4,6] => 0101000 => 2
[7,6,2,8,5,1,4,3] => 1101101 => 2
[8,1,3,7,5,2,6,4] => 1001101 => 2
[3,4,8,7,5,1,6,2] => 0011101 => 1
[6,3,8,1,4,2,5,7] => 1010100 => 3
[6,3,8,5,7,4,1,2] => 1010110 => 3
[7,4,6,8,5,1,3,2] => 1001101 => 2
[2,1,4,8,7,5,6,3] => 1001101 => 2
[7,1,5,8,2,6,4,3] => 1001011 => 2
[3,6,8,2,4,1,7,5] => 0010101 => 2
[4,5,8,2,6,7,3,1] => 0010011 => 1
[5,2,8,1,6,7,3,4] => 1010010 => 3
[2,5,8,4,6,7,3,1] => 0010011 => 1
[5,8,3,4,6,7,2,1] => 0100011 => 1
[8,4,3,2,6,7,1,5] => 1110010 => 2
[4,2,8,1,6,7,3,5] => 1010010 => 3
[2,4,8,1,6,7,3,5] => 0010010 => 2
[5,1,8,2,6,7,3,4] => 1010010 => 3
[3,4,8,7,2,1,5,6] => 0011100 => 1
[7,8,5,3,6,4,2,1] => 0110111 => 1
[2,8,5,7,4,1,3,6] => 0101100 => 2
[5,8,4,1,6,7,2,3] => 0110010 => 2
[3,8,1,4,6,7,2,5] => 0100010 => 2
[8,2,3,4,6,7,1,5] => 1000010 => 2
[6,2,7,3,8,4,1,5] => 1010110 => 3
[7,4,3,2,8,5,1,6] => 1110110 => 2
[8,3,6,2,5,4,1,7] => 1010110 => 3
[5,4,8,3,2,6,1,7] => 1011010 => 3
[3,5,8,2,4,6,1,7] => 0010010 => 2
[6,4,7,8,2,3,1,5] => 1001010 => 3
[4,8,6,2,5,3,1,7] => 0110110 => 2
[1,6,4,3,2,8,7,5] => 0111011 => 1
[1,5,3,2,8,4,7,6] => 0110101 => 2
[5,7,4,3,1,2,6,8] => 0111000 => 1
[2,8,7,3,5,1,4,6] => 0110100 => 2
[6,1,2,7,3,8,5,4] => 1001011 => 2
[5,1,3,2,8,7,4,6] => 1010110 => 3
[1,8,3,7,2,6,5,4] => 0101011 => 2
[5,1,4,8,3,7,2,6] => 1001010 => 3
[2,1,6,8,5,4,7,3] => 1001101 => 2
[8,3,1,6,7,2,5,4] => 1100101 => 2
[3,7,6,1,5,2,4,8] => 0110100 => 2
[1,5,4,8,3,2,7,6] => 0101101 => 2
[7,3,6,1,2,5,4,8] => 1010010 => 3
[5,4,7,1,3,2,6,8] => 1010100 => 3
[5,7,2,3,8,1,4,6] => 0100100 => 2
[6,4,7,5,8,1,2,3] => 1010100 => 3
[7,4,8,5,1,6,3,2] => 1011011 => 2
[8,6,4,2,1,7,5,3] => 1111011 => 1
[7,4,2,1,5,8,6,3] => 1110011 => 1
[7,6,4,1,8,5,2,3] => 1110110 => 2
[1,6,4,8,7,5,3,2] => 0101111 => 1
[6,3,1,2,8,4,7,5] => 1100101 => 2
[6,8,4,1,2,7,5,3] => 0110011 => 1
[3,6,1,8,2,4,7,5] => 0101001 => 2
[1,3,8,7,6,2,5,4] => 0011101 => 1
[5,4,1,8,7,3,2,6] => 1101110 => 2
[3,5,1,8,7,2,4,6] => 0101100 => 2
[5,8,4,1,7,6,2,3] => 0110110 => 2
[8,6,1,7,5,4,3,2] => 1101111 => 1
[7,1,5,8,6,4,3,2] => 1001111 => 1
[4,1,8,7,6,2,5,3] => 1011101 => 2
[3,1,8,7,6,5,2,4] => 1011110 => 2
[1,6,4,5,2,3,7,8] => 0101000 => 2
[1,7,4,5,2,3,6,8] => 0101000 => 2
[1,7,3,5,2,4,6,8] => 0101000 => 2
[1,6,3,5,2,4,7,8] => 0101000 => 2
[1,6,3,4,2,5,7,8] => 0101000 => 2
[1,7,3,4,2,5,6,8] => 0101000 => 2
[1,8,6,7,3,4,2,5] => 0101010 => 3
[1,8,5,7,3,4,2,6] => 0101010 => 3
[1,7,3,4,2,6,5,8] => 0101010 => 3
[1,5,2,8,4,7,3,6] => 0101010 => 3
[1,4,2,8,5,7,3,6] => 0101010 => 3
[1,7,3,5,2,6,4,8] => 0101010 => 3
[1,8,4,7,3,5,2,6] => 0101010 => 3
[1,7,3,6,2,5,4,8] => 0101010 => 3
[1,7,3,6,2,4,5,8] => 0101000 => 2
[1,7,4,6,2,3,5,8] => 0101000 => 2
[1,8,5,6,2,3,4,7] => 0101000 => 2
[1,8,5,6,2,4,3,7] => 0101010 => 3
[1,3,2,8,5,6,4,7] => 0101010 => 3
[1,4,2,8,5,6,3,7] => 0101010 => 3
[1,5,2,8,4,6,3,7] => 0101010 => 3
[1,6,2,8,4,5,3,7] => 0101010 => 3
[9,1,2,3,5,4,6,7,8] => 10001000 => 2
[8,1,2,4,5,3,6,7] => 1000100 => 2
[2,3,4,6,5,7,8,9,1] => 00010001 => 1
[10,1,2,3,4,6,5,7,8,9] => 100001000 => 2
[9,1,2,3,5,6,4,7,8] => 10000100 => 2
[2,3,4,7,5,6,8,9,1] => 00010001 => 1
[2,3,4,6,7,5,8,9,1] => 00001001 => 1
[2,3,4,5,7,6,8,9,10,1] => 000010001 => 1
[9,10,5,6,7,8,3,4,1,2] => 010001010 => 3
[5,8,9,6,7,10,3,4,1,2] => 001001010 => 3
[9,10,7,8,3,4,5,6,1,2] => 010100010 => 3
[9,10,3,6,7,4,5,8,1,2] => 010010010 => 3
[3,8,9,6,7,4,5,10,1,2] => 001010010 => 3
[3,6,7,8,9,4,5,10,1,2] => 000010010 => 2
[9,10,3,4,5,6,7,8,1,2] => 010000010 => 2
[3,8,9,4,5,6,7,10,1,2] => 001000010 => 2
[3,4,7,8,5,6,9,10,1,2] => 000100010 => 2
[7,8,9,10,5,6,1,2,3,4] => 000101000 => 2
[5,8,9,6,7,10,1,2,3,4] => 001001000 => 2
[9,10,7,8,1,4,5,2,3,6] => 010100100 => 3
[7,8,9,10,1,4,5,2,3,6] => 000100100 => 2
[9,10,1,6,7,4,5,2,3,8] => 010010100 => 3
[1,8,9,6,7,4,5,2,3,10] => 001010100 => 3
[1,6,7,8,9,4,5,2,3,10] => 000010100 => 2
[9,10,1,4,5,6,7,2,3,8] => 010000100 => 2
[1,8,9,4,5,6,7,2,3,10] => 001000100 => 2
[1,4,7,8,5,6,9,2,3,10] => 000100100 => 2
[1,4,5,6,7,8,9,2,3,10] => 000000100 => 1
[9,10,1,6,7,2,3,4,5,8] => 010010000 => 2
[1,8,9,6,7,2,3,4,5,10] => 001010000 => 2
[1,6,7,8,9,2,3,4,5,10] => 000010000 => 1
[9,10,1,2,5,6,3,4,7,8] => 010001000 => 2
[1,8,9,2,5,6,3,4,7,10] => 001001000 => 2
[1,2,7,8,5,6,3,4,9,10] => 000101000 => 2
[1,2,5,6,7,8,3,4,9,10] => 000001000 => 1
[1,8,9,2,3,4,5,6,7,10] => 001000000 => 1
[1,2,7,8,3,4,5,6,9,10] => 000100000 => 1
[1,2,3,6,7,4,5,8,9,10] => 000010000 => 1
[11,12,7,8,9,10,5,6,3,4,1,2] => 01000101010 => 4
[7,10,11,8,9,12,5,6,3,4,1,2] => 00100101010 => 4
[11,12,9,10,5,6,7,8,3,4,1,2] => 01010001010 => 4
[9,10,11,12,5,6,7,8,3,4,1,2] => 00010001010 => 3
[11,12,5,8,9,6,7,10,3,4,1,2] => 01001001010 => 4
[5,10,11,8,9,6,7,12,3,4,1,2] => 00101001010 => 4
[5,10,11,6,7,8,9,12,3,4,1,2] => 00100001010 => 3
[5,6,9,10,7,8,11,12,3,4,1,2] => 00010001010 => 3
[11,12,9,10,7,8,3,4,5,6,1,2] => 01010100010 => 4
[9,10,11,12,7,8,3,4,5,6,1,2] => 00010100010 => 3
[11,12,7,8,9,10,3,4,5,6,1,2] => 01000100010 => 3
[7,10,11,8,9,12,3,4,5,6,1,2] => 00100100010 => 3
[11,12,9,10,3,6,7,4,5,8,1,2] => 01010010010 => 4
[9,10,11,12,3,6,7,4,5,8,1,2] => 00010010010 => 3
[11,12,3,8,9,6,7,4,5,10,1,2] => 01001010010 => 4
[3,10,11,8,9,6,7,4,5,12,1,2] => 00101010010 => 4
[11,12,3,6,7,8,9,4,5,10,1,2] => 01000010010 => 3
[3,10,11,6,7,8,9,4,5,12,1,2] => 00100010010 => 3
[3,6,9,10,7,8,11,4,5,12,1,2] => 00010010010 => 3
[9,10,11,12,3,4,5,6,7,8,1,2] => 00010000010 => 2
[11,12,3,8,9,4,5,6,7,10,1,2] => 01001000010 => 3
[3,10,11,8,9,4,5,6,7,12,1,2] => 00101000010 => 3
[3,8,9,10,11,4,5,6,7,12,1,2] => 00001000010 => 2
[11,12,3,4,7,8,5,6,9,10,1,2] => 01000100010 => 3
[3,10,11,4,7,8,5,6,9,12,1,2] => 00100100010 => 3
[3,4,9,10,7,8,5,6,11,12,1,2] => 00010100010 => 3
[3,4,9,10,5,6,7,8,11,12,1,2] => 00010000010 => 2
[3,4,5,8,9,6,7,10,11,12,1,2] => 00001000010 => 2
[3,4,5,6,7,8,9,10,11,12,1,2] => 00000000010 => 1
[9,10,11,12,7,8,5,6,1,2,3,4] => 00010101000 => 3
[11,12,7,8,9,10,5,6,1,2,3,4] => 01000101000 => 3
[7,10,11,8,9,12,5,6,1,2,3,4] => 00100101000 => 3
[11,12,9,10,5,6,7,8,1,2,3,4] => 01010001000 => 3
[9,10,11,12,5,6,7,8,1,2,3,4] => 00010001000 => 2
[11,12,5,8,9,6,7,10,1,2,3,4] => 01001001000 => 3
[5,10,11,8,9,6,7,12,1,2,3,4] => 00101001000 => 3
[5,8,9,10,11,6,7,12,1,2,3,4] => 00001001000 => 2
[11,12,5,6,7,8,9,10,1,2,3,4] => 01000001000 => 2
[5,10,11,6,7,8,9,12,1,2,3,4] => 00100001000 => 2
[5,6,9,10,7,8,11,12,1,2,3,4] => 00010001000 => 2
[11,12,9,10,7,8,1,4,5,2,3,6] => 01010100100 => 4
[9,10,11,12,7,8,1,4,5,2,3,6] => 00010100100 => 3
[11,12,7,8,9,10,1,4,5,2,3,6] => 01000100100 => 3
[7,10,11,8,9,12,1,4,5,2,3,6] => 00100100100 => 3
[11,12,9,10,1,6,7,4,5,2,3,8] => 01010010100 => 4
[9,10,11,12,1,6,7,4,5,2,3,8] => 00010010100 => 3
[11,12,1,8,9,6,7,4,5,2,3,10] => 01001010100 => 4
[1,10,11,8,9,6,7,4,5,2,3,12] => 00101010100 => 4
[11,12,1,6,7,8,9,4,5,2,3,10] => 01000010100 => 3
[1,10,11,6,7,8,9,4,5,2,3,12] => 00100010100 => 3
[1,6,9,10,7,8,11,4,5,2,3,12] => 00010010100 => 3
[11,12,9,10,1,4,5,6,7,2,3,8] => 01010000100 => 3
[9,10,11,12,1,4,5,6,7,2,3,8] => 00010000100 => 2
[11,12,1,8,9,4,5,6,7,2,3,10] => 01001000100 => 3
[1,10,11,8,9,4,5,6,7,2,3,12] => 00101000100 => 3
[1,8,9,10,11,4,5,6,7,2,3,12] => 00001000100 => 2
[11,12,1,4,7,8,5,6,9,2,3,10] => 01000100100 => 3
[1,10,11,4,7,8,5,6,9,2,3,12] => 00100100100 => 3
[1,4,9,10,7,8,5,6,11,2,3,12] => 00010100100 => 3
[1,10,11,4,5,6,7,8,9,2,3,12] => 00100000100 => 2
[1,4,9,10,5,6,7,8,11,2,3,12] => 00010000100 => 2
[1,4,5,8,9,6,7,10,11,2,3,12] => 00001000100 => 2
[9,10,11,12,1,6,7,2,3,4,5,8] => 00010010000 => 2
[1,8,9,10,11,6,7,2,3,4,5,12] => 00001010000 => 2
[11,12,1,6,7,8,9,2,3,4,5,10] => 01000010000 => 2
[1,10,11,6,7,8,9,2,3,4,5,12] => 00100010000 => 2
[1,6,9,10,7,8,11,2,3,4,5,12] => 00010010000 => 2
[11,12,9,10,1,2,5,6,3,4,7,8] => 01010001000 => 3
[9,10,11,12,1,2,5,6,3,4,7,8] => 00010001000 => 2
[11,12,1,8,9,2,5,6,3,4,7,10] => 01001001000 => 3
[1,10,11,8,9,2,5,6,3,4,7,12] => 00101001000 => 3
[1,8,9,10,11,2,5,6,3,4,7,12] => 00001001000 => 2
[11,12,1,2,7,8,5,6,3,4,9,10] => 01000101000 => 3
[1,10,11,2,7,8,5,6,3,4,9,12] => 00100101000 => 3
[1,2,9,10,7,8,5,6,3,4,11,12] => 00010101000 => 3
[11,12,1,2,5,6,7,8,3,4,9,10] => 01000001000 => 2
[1,10,11,2,5,6,7,8,3,4,9,12] => 00100001000 => 2
[1,2,9,10,5,6,7,8,3,4,11,12] => 00010001000 => 2
[1,2,5,8,9,6,7,10,3,4,11,12] => 00001001000 => 2
[1,2,7,8,9,10,3,4,5,6,11,12] => 00000100000 => 1
[11,12,1,2,3,6,7,4,5,8,9,10] => 01000010000 => 2
[1,10,11,2,3,6,7,4,5,8,9,12] => 00100010000 => 2
[1,2,9,10,3,6,7,4,5,8,11,12] => 00010010000 => 2
[1,2,3,8,9,6,7,4,5,10,11,12] => 00001010000 => 2
[11,12,1,2,3,4,5,6,7,8,9,10] => 01000000000 => 1
[1,2,3,4,7,8,5,6,9,10,11,12] => 00000100000 => 1
[8,6,4,7,2,1,3,5] => 1101100 => 2
[8,4,6,2,3,5,1,7] => 1010010 => 3
[5,4,8,2,3,6,1,7] => 1010010 => 3
[3,8,6,2,4,5,1,7] => 0110010 => 2
[1,7,6,4,8,2,3,5] => 0110100 => 2
[5,8,7,4,1,2,3,6] => 0111000 => 1
[6,8,5,3,4,1,2,7] => 0110100 => 2
[6,8,3,7,2,1,4,5] => 0101100 => 2
[6,1,3,7,4,8,2,5] => 1001010 => 3
[7,1,6,4,8,2,3,5] => 1010100 => 3
[1,8,5,7,2,3,4,6] => 0101000 => 2
[6,1,5,8,2,3,4,7] => 1001000 => 2
[6,1,5,7,8,2,3,4] => 1000100 => 2
[3,8,7,5,1,2,4,6] => 0111000 => 1
[3,7,6,1,2,4,5,8] => 0110000 => 1
[4,7,6,1,2,3,5,8] => 0110000 => 1
[1,6,5,8,2,3,4,7] => 0101000 => 2
[8,5,7,4,1,2,3,6] => 1011000 => 2
[8,6,2,3,1,7,4,5] => 1101010 => 3
[8,6,4,1,2,7,3,5] => 1110010 => 2
[1,7,2,8,6,3,4,5] => 0101100 => 2
[7,5,8,1,3,6,2,4] => 1010010 => 3
[5,4,1,8,2,3,6,7] => 1101000 => 2
[1,4,8,7,2,3,5,6] => 0011000 => 1
[1,5,8,7,2,3,4,6] => 0011000 => 1
[5,7,1,3,8,2,4,6] => 0100100 => 2
[7,1,5,8,6,2,3,4] => 1001100 => 2
[6,1,8,2,7,3,4,5] => 1010100 => 3
[4,1,8,7,2,3,5,6] => 1011000 => 2
[5,1,8,7,2,3,4,6] => 1011000 => 2
[1,8,7,6,4,5,3,2] => 0111011 => 1
[9,8,7,6,4,5,3,2,1,10] => 111101110 => 2
[8,7,6,4,3,5,2,1,9] => 11110110 => 2
[8,7,6,3,5,4,2,1,9] => 11101110 => 2
[1,9,8,7,5,4,6,3,2] => 01111011 => 1
[1,8,7,3,6,5,4,2] => 0110111 => 1
[1,9,8,7,4,6,5,3,2] => 01110111 => 1
[1,10,9,8,7,5,6,4,3,2] => 011110111 => 1
[7,1,5,8,3,4,2,6] => 1001010 => 3
[7,1,4,3,2,5,6,8] => 1011000 => 2
[6,4,2,3,8,5,7,1] => 1100101 => 2
[6,4,2,7,5,8,3,1] => 1101011 => 2
[2,4,1,7,5,8,3,6] => 0101010 => 3
[7,1,4,6,5,2,3,8] => 1001100 => 2
[7,1,4,6,5,8,2,3] => 1001010 => 3
[7,1,4,6,3,8,2,5] => 1001010 => 3
[7,1,4,3,2,5,8,6] => 1011001 => 2
[7,1,4,6,5,2,8,3] => 1001101 => 2
[7,1,4,6,5,3,8,2] => 1001101 => 2
[7,1,4,6,5,3,2,8] => 1001110 => 2
[6,4,2,7,5,3,8,1] => 1101101 => 2
[3,4,7,2,6,8,5,1] => 0010011 => 1
[3,4,7,1,6,8,2,5] => 0010010 => 2
[3,4,7,1,6,8,5,2] => 0010011 => 1
[2,4,1,7,5,3,6,8] => 0101100 => 2
[3,4,1,7,8,6,2,5] => 0100110 => 2
[6,4,2,3,8,5,1,7] => 1100110 => 2
[6,4,2,7,5,8,1,3] => 1101010 => 3
[6,4,2,7,5,3,1,8] => 1101110 => 2
[3,4,7,2,6,8,1,5] => 0010010 => 2
[5,4,7,3,6,8,2,1] => 1010011 => 2
[3,4,7,2,6,5,1,8] => 0010110 => 2
[4,8,3,2,5,6,1,7] => 0110010 => 2
[4,8,7,3,5,1,2,6] => 0110100 => 2
[4,8,7,1,3,5,2,6] => 0110010 => 2
[4,8,3,1,2,6,5,7] => 0110010 => 2
[3,4,7,1,6,2,5,8] => 0010100 => 2
[3,4,7,1,6,2,8,5] => 0010101 => 2
[3,4,7,2,6,5,8,1] => 0010101 => 2
[4,8,3,1,2,6,7,5] => 0110001 => 1
[5,8,1,6,3,4,2,7] => 0101010 => 3
[6,8,5,1,3,7,2,4] => 0110010 => 2
[6,8,5,1,3,4,7,2] => 0110001 => 1
[5,8,3,4,2,6,7,1] => 0101001 => 2
[5,4,7,3,6,2,8,1] => 1010101 => 3
[5,4,7,2,6,1,8,3] => 1010101 => 3
[6,4,3,7,5,1,2,8] => 1101100 => 2
[6,4,3,7,5,1,8,2] => 1101101 => 2
[6,2,4,3,1,5,8,7] => 1011001 => 2
[3,8,7,4,1,5,2,6] => 0111010 => 2
[2,4,7,3,6,1,5,8] => 0010100 => 2
[5,8,3,2,1,6,4,7] => 0111010 => 2
[5,8,7,4,3,1,2,6] => 0111100 => 1
[5,4,7,3,6,2,1,8] => 1010110 => 3
[7,3,8,2,1,6,5,4] => 1011011 => 2
[7,4,3,8,5,2,1,6] => 1101110 => 2
[6,5,2,8,4,3,1,7] => 1101110 => 2
[4,3,2,8,6,5,1,7] => 1101110 => 2
[4,3,8,7,5,1,6,2] => 1011101 => 2
[3,2,5,8,6,1,4,7] => 1001100 => 2
[8,4,3,7,5,2,6,1] => 1101101 => 2
[4,3,7,8,5,1,2,6] => 1001100 => 2
[5,3,7,8,4,1,2,6] => 1001100 => 2
[6,2,5,8,3,1,4,7] => 1001100 => 2
[6,2,4,8,3,1,5,7] => 1001100 => 2
[5,2,3,8,4,1,6,7] => 1001100 => 2
[5,3,8,7,4,1,6,2] => 1011101 => 2
[5,3,2,8,6,4,1,7] => 1101110 => 2
[7,5,3,8,4,2,1,6] => 1101110 => 2
[8,7,5,3,6,2,4,1] => 1110101 => 2
[8,6,5,3,7,2,4,1] => 1110101 => 2
[7,5,4,3,8,2,6,1] => 1110101 => 2
[6,4,5,3,8,2,7,1] => 1010101 => 3
[7,4,6,3,8,2,5,1] => 1010101 => 3
[7,5,6,3,8,2,4,1] => 1010101 => 3
[8,5,6,3,7,2,4,1] => 1010101 => 3
[7,4,6,3,5,2,8,1] => 1010101 => 3
[8,4,6,3,5,2,7,1] => 1010101 => 3
[8,4,7,3,5,2,6,1] => 1010101 => 3
[8,5,7,3,4,2,6,1] => 1010101 => 3
[7,5,8,4,3,2,6,1] => 1011101 => 2
[6,5,8,4,3,2,7,1] => 1011101 => 2
[6,5,8,3,4,2,7,1] => 1010101 => 3
[7,5,8,3,4,2,6,1] => 1010101 => 3
[7,5,8,4,6,2,3,1] => 1010101 => 3
[7,4,8,3,6,2,5,1] => 1010101 => 3
[7,4,8,3,5,2,6,1] => 1010101 => 3
[6,4,8,3,5,2,7,1] => 1010101 => 3
[6,4,7,3,5,2,8,1] => 1010101 => 3
[5,4,8,3,7,2,6,1] => 1010101 => 3
[6,5,8,3,7,2,4,1] => 1010101 => 3
[6,5,8,4,7,2,3,1] => 1010101 => 3
[6,5,8,4,7,3,2,1] => 1010111 => 2
[6,4,7,3,8,2,5,1] => 1010101 => 3
[5,4,7,3,8,2,6,1] => 1010101 => 3
[5,4,6,3,8,2,7,1] => 1010101 => 3
[5,3,6,2,4,7,8,1] => 1010001 => 2
[5,3,6,1,4,8,7,2] => 1010011 => 2
[5,3,7,2,4,6,8,1] => 1010001 => 2
[4,3,1,5,6,8,7,2] => 1100011 => 1
[4,2,1,5,8,6,3,7] => 1100110 => 2
[4,2,1,5,8,6,7,3] => 1100101 => 2
[4,2,1,5,8,7,6,3] => 1100111 => 1
[4,3,1,5,7,8,6,2] => 1100011 => 1
[4,3,1,7,5,8,6,2] => 1101011 => 2
[6,7,3,1,4,8,2,5] => 0110010 => 2
[5,3,7,1,4,8,2,6] => 1010010 => 3
[4,3,1,5,7,8,2,6] => 1100010 => 2
[3,2,1,8,5,4,6,7] => 1101100 => 2
[3,2,1,8,5,7,4,6] => 1101010 => 3
[3,2,1,8,7,5,4,6] => 1101110 => 2
[5,2,7,1,8,4,3,6] => 1010110 => 3
[6,7,2,1,8,4,3,5] => 0110110 => 2
[6,7,2,1,8,4,5,3] => 0110101 => 2
[3,2,1,8,5,6,4,7] => 1101010 => 3
[3,2,1,8,6,5,4,7] => 1101110 => 2
[4,3,1,6,7,8,5,2] => 1100011 => 1
[4,2,1,6,8,7,5,3] => 1100111 => 1
[4,2,1,6,8,5,7,3] => 1100101 => 2
[4,2,1,6,8,5,3,7] => 1100110 => 2
[5,2,6,1,8,4,3,7] => 1010110 => 3
[5,2,6,1,8,7,4,3] => 1010111 => 2
[5,2,6,1,8,7,3,4] => 1010110 => 3
[5,2,6,1,8,3,4,7] => 1010100 => 3
[4,2,1,6,8,3,7,5] => 1100101 => 2
[4,3,1,6,7,8,2,5] => 1100010 => 2
[6,7,3,1,5,8,2,4] => 0110010 => 2
[4,2,1,7,8,6,3,5] => 1100110 => 2
[3,2,1,8,7,6,4,5] => 1101110 => 2
[3,2,1,8,6,4,7,5] => 1101101 => 2
[3,2,1,8,6,4,5,7] => 1101100 => 2
[3,2,1,8,4,6,5,7] => 1101010 => 3
[3,2,1,8,4,6,7,5] => 1101001 => 2
[3,2,1,8,4,7,6,5] => 1101011 => 2
[3,2,1,8,7,4,6,5] => 1101101 => 2
[4,2,1,7,8,3,6,5] => 1100101 => 2
[5,2,7,1,8,3,6,4] => 1010101 => 3
[6,7,2,1,8,3,5,4] => 0110101 => 2
[5,2,7,1,8,3,4,6] => 1010100 => 3
[4,2,1,7,8,3,5,6] => 1100100 => 2
[3,2,1,8,4,5,7,6] => 1101001 => 2
[7,5,2,8,6,3,4,1] => 1101101 => 2
[7,4,8,6,2,5,3,1] => 1011011 => 2
[7,3,8,6,2,4,5,1] => 1011001 => 2
[7,4,3,1,8,2,5,6] => 1110100 => 2
[7,4,2,8,5,6,1,3] => 1101010 => 3
[7,3,8,5,2,4,6,1] => 1011001 => 2
[7,3,8,4,5,6,2,1] => 1010011 => 2
[6,3,8,2,4,5,1,7] => 1010010 => 3
[6,3,8,2,5,7,4,1] => 1010011 => 2
[6,4,3,8,1,5,2,7] => 1101010 => 3
[6,3,7,8,2,4,1,5] => 1001010 => 3
[5,6,7,3,8,2,4,1] => 0010101 => 2
[5,4,7,2,6,8,1,3] => 1010010 => 3
[5,3,8,2,4,6,7,1] => 1010001 => 2
[6,3,8,2,4,7,5,1] => 1010011 => 2
[5,7,4,2,6,8,1,3] => 0110010 => 2
[6,4,8,2,7,5,1,3] => 1010110 => 3
[6,5,3,1,4,2,7,8] => 1110100 => 2
[5,7,4,2,6,1,3,8] => 0110100 => 2
[5,6,4,2,3,8,1,7] => 0110010 => 2
[5,6,3,7,8,2,4,1] => 0100101 => 2
[5,6,3,8,2,4,7,1] => 0101001 => 2
[6,3,7,2,4,5,1,8] => 1010010 => 3
[6,3,7,2,5,8,4,1] => 1010011 => 2
[5,3,6,8,2,4,7,1] => 1001001 => 2
[5,4,6,2,3,8,1,7] => 1010010 => 3
[5,3,6,7,8,2,4,1] => 1000101 => 2
[3,6,4,2,1,5,8,7] => 0111001 => 1
[3,5,8,6,4,2,1,7] => 0011110 => 1
[5,8,6,3,4,2,1,7] => 0110110 => 2
[5,6,3,4,2,1,8,7] => 0101101 => 2
[6,3,4,2,1,5,8,7] => 1011001 => 2
[5,6,4,2,1,3,8,7] => 0111001 => 1
[2,5,4,1,7,8,6,3] => 0110011 => 1
[2,7,8,5,4,1,6,3] => 0011101 => 1
[2,8,5,4,1,6,3,7] => 0111010 => 2
[2,6,3,8,5,4,1,7] => 0101110 => 2
[2,8,6,3,5,4,1,7] => 0110110 => 2
[5,8,6,4,2,1,3,7] => 0111100 => 1
[4,2,1,5,7,8,6,3] => 1100011 => 1
[2,7,8,6,3,5,4,1] => 0011011 => 1
[4,3,8,5,7,6,2,1] => 1010111 => 2
[7,6,2,1,8,4,3,5] => 1110110 => 2
[2,1,8,5,6,4,3,7] => 1010110 => 3
[4,2,1,8,5,6,3,7] => 1101010 => 3
[8,4,2,1,5,6,3,7] => 1110010 => 2
[2,5,6,3,8,4,1,7] => 0010110 => 2
[6,3,4,2,1,8,5,7] => 1011010 => 3
[3,7,8,5,6,4,2,1] => 0010111 => 1
[3,8,5,6,4,2,1,7] => 0101110 => 2
[3,6,4,2,1,8,5,7] => 0111010 => 2
[3,8,6,4,2,1,5,7] => 0111100 => 1
[3,7,8,6,4,2,1,5] => 0011110 => 1
[8,5,3,7,6,2,4,1] => 1101101 => 2
[7,6,2,4,1,8,5,3] => 1101011 => 2
[8,5,4,1,7,6,2,3] => 1110110 => 2
[7,6,2,3,8,5,4,1] => 1100111 => 1
[2,1,7,8,6,4,3,5] => 1001110 => 2
[2,1,6,4,3,7,8,5] => 1011001 => 2
[6,4,2,1,3,7,8,5] => 1110001 => 1
[6,3,7,8,4,2,1,5] => 1001110 => 2
[7,8,4,2,1,6,3,5] => 0111010 => 2
[5,7,6,2,3,8,4,1] => 0110011 => 1
[2,6,1,8,4,3,7,5] => 0101101 => 2
[2,6,1,7,5,8,4,3] => 0101011 => 2
[8,4,2,3,7,5,6,1] => 1100101 => 2
[8,5,7,6,2,1,4,3] => 1011101 => 2
[4,8,5,7,6,2,1,3] => 0101110 => 2
[4,7,6,2,1,3,8,5] => 0111001 => 1
[7,5,6,1,8,4,2,3] => 1010110 => 3
[2,7,5,8,4,3,6,1] => 0101101 => 2
[2,8,4,3,6,1,7,5] => 0110101 => 2
[6,4,7,8,3,2,1,5] => 1001110 => 2
[7,6,5,8,4,3,2,1,9] => 11011110 => 2
[7,6,5,4,9,3,2,1,8] => 11101110 => 2
[7,6,5,4,3,8,2,1,9] => 11110110 => 2
[7,6,5,4,3,2,8,1,9] => 11111010 => 2
[6,9,8,5,4,3,2,1,7] => 01111110 => 1
[8,7,9,6,5,4,3,2,1,10] => 101111110 => 2
[7,5,8,9,4,3,2,1,6] => 10011110 => 2
[8,7,6,9,5,4,3,2,1,10] => 110111110 => 2
[6,4,3,7,5,2,1,8] => 1101110 => 2
[7,6,4,8,9,3,2,1,5] => 11001110 => 2
[8,7,6,5,10,4,3,2,1,9] => 111011110 => 2
[6,5,3,2,8,4,1,7] => 1110110 => 2
[7,6,5,3,9,8,2,1,4] => 11101110 => 2
[8,7,6,5,4,9,3,2,1,10] => 111101110 => 2
[6,5,2,7,8,4,1,3] => 1100110 => 2
[7,6,5,4,2,8,9,1,3] => 11110010 => 2
[8,7,6,5,4,3,9,2,1,10] => 111110110 => 2
[7,6,5,4,3,1,8,9,2] => 11111001 => 1
[7,10,9,6,5,4,3,2,1,8] => 011111110 => 1
[9,8,10,7,6,5,4,3,2,1,11] => 1011111110 => 2
[6,5,8,7,4,3,2,1,9] => 10111110 => 2
[8,6,9,10,5,4,3,2,1,7] => 100111110 => 2
[9,8,7,10,6,5,4,3,2,1,11] => 1101111110 => 2
[7,5,4,8,6,3,2,1,9] => 11011110 => 2
[5,9,8,7,4,3,2,1,6] => 01111110 => 1
[8,7,5,9,10,4,3,2,1,6] => 110011110 => 2
[9,8,7,6,11,5,4,3,2,1,10] => 1110111110 => 2
[6,4,3,2,5,8,1,7] => 1110010 => 2
[7,6,4,3,9,5,2,1,8] => 11101110 => 2
[7,4,8,9,6,3,2,1,5] => 10011110 => 2
[8,7,6,4,10,9,3,2,1,5] => 111011110 => 2
[6,3,7,2,5,4,1,8] => 1010110 => 3
[7,6,5,3,2,8,4,1,9] => 11110110 => 2
[7,6,3,8,9,5,2,1,4] => 11001110 => 2
[8,7,6,5,3,9,10,2,1,4] => 111100110 => 2
[7,6,5,4,2,1,8,3,9] => 11111010 => 2
[6,3,2,7,5,4,1,8] => 1101110 => 2
[7,6,5,2,9,8,4,1,3] => 11101110 => 2
[8,7,6,5,4,2,9,10,1,3] => 111110010 => 2
[7,6,5,4,1,8,9,3,2] => 11110011 => 1
[8,7,6,5,4,3,1,10,9,2] => 111111011 => 1
[8,4,2,6,3,1,7,5] => 1101101 => 2
[1,5,3,7,4,2,8,6] => 0101101 => 2
[1,6,7,3,4,2,8,5] => 0010101 => 2
[8,6,5,2,3,1,7,4] => 1110101 => 2
[1,7,6,3,4,2,8,5] => 0110101 => 2
[1,8,6,3,2,5,7,4] => 0111001 => 1
[8,7,5,2,1,4,6,3] => 1111001 => 1
[7,8,5,2,1,4,6,3] => 0111001 => 1
[6,8,5,2,3,1,7,4] => 0110101 => 2
[5,8,6,2,3,1,7,4] => 0110101 => 2
[4,8,2,6,3,1,7,5] => 0101101 => 2
[3,2,8,6,4,1,7,5] => 1011101 => 2
[3,2,1,7,5,4,8,6] => 1101101 => 2
[4,1,3,7,5,2,8,6] => 1001101 => 2
[5,1,7,3,4,2,8,6] => 1010101 => 3
[7,1,6,3,2,5,8,4] => 1011001 => 2
[1,2,7,4,3,6,8,5] => 0011001 => 1
[6,1,8,2,4,5,7,3] => 1010001 => 2
[5,1,8,3,2,6,7,4] => 1011001 => 2
[3,2,8,7,1,5,6,4] => 1011001 => 2
[4,8,2,7,1,5,6,3] => 0101001 => 2
[5,8,7,2,1,4,6,3] => 0111001 => 1
[6,8,7,1,3,4,5,2] => 0110001 => 1
[7,8,6,1,3,4,5,2] => 0110001 => 1
[1,7,8,2,4,5,6,3] => 0010001 => 1
[8,6,7,1,3,4,5,2] => 1010001 => 2
[7,6,8,1,3,4,5,2] => 1010001 => 2
[6,5,8,2,3,1,7,4] => 1010101 => 3
[1,6,8,3,2,5,7,4] => 0011001 => 1
[1,5,3,8,2,6,7,4] => 0101001 => 2
[8,4,2,7,1,5,6,3] => 1101001 => 2
[7,4,2,8,1,5,6,3] => 1101001 => 2
[6,4,2,8,3,1,7,5] => 1101101 => 2
[5,4,2,3,8,1,7,6] => 1100101 => 2
[4,5,2,3,1,6,8,7] => 0101001 => 2
[7,4,2,1,3,6,8,5] => 1110001 => 1
[8,4,2,1,3,6,7,5] => 1110001 => 1
[1,5,3,2,4,7,8,6] => 0110001 => 1
[8,5,1,3,2,6,7,4] => 1101001 => 2
[5,6,1,3,4,2,8,7] => 0100101 => 2
[4,6,2,1,5,3,8,7] => 0110101 => 2
[4,7,2,1,3,6,8,5] => 0110001 => 1
[5,7,1,3,2,6,8,4] => 0101001 => 2
[6,7,1,2,4,5,8,3] => 0100001 => 1
[8,6,1,2,4,5,7,3] => 1100001 => 1
[1,8,2,3,5,6,7,4] => 0100001 => 1
[8,7,1,2,4,5,6,3] => 1100001 => 1
[7,8,1,2,4,5,6,3] => 0100001 => 1
[5,8,1,3,2,6,7,4] => 0101001 => 2
[4,8,2,1,3,6,7,5] => 0110001 => 1
[4,1,3,2,5,7,8,6] => 1010001 => 2
[5,1,2,4,3,7,8,6] => 1001001 => 2
[5,4,8,1,2,3,7,6] => 1010001 => 2
[1,4,7,6,3,2,5,8] => 0011100 => 1
[4,8,3,2,7,6,1,5] => 0110110 => 2
[4,3,8,2,7,1,6,5] => 1010101 => 3
[1,4,7,3,6,2,5,8] => 0010100 => 2
[4,3,2,8,1,7,6,5] => 1101011 => 2
[4,1,8,3,7,2,5,6] => 1010100 => 3
[4,1,8,7,3,2,5,6] => 1011100 => 2
[4,7,8,1,2,5,3,6] => 0010010 => 2
[3,4,7,6,2,1,8,5] => 0011101 => 1
[3,4,2,7,1,6,8,5] => 0101001 => 2
[2,3,6,7,4,1,8,5] => 0001101 => 1
[2,6,3,4,7,8,1,5] => 0100010 => 2
[2,6,7,8,3,4,1,5] => 0001010 => 2
[3,1,7,8,4,2,5,6] => 1001100 => 2
[4,1,3,2,8,7,5,6] => 1010110 => 3
[3,7,8,2,6,4,1,5] => 0010110 => 2
[4,2,3,8,1,6,7,5] => 1001001 => 2
[4,3,1,8,2,5,7,6] => 1101001 => 2
[1,3,6,7,4,2,5,8] => 0001100 => 1
[3,2,7,8,4,1,6,5] => 1001101 => 2
[4,2,8,6,3,1,7,5] => 1011101 => 2
[3,7,2,4,8,6,1,5] => 0100110 => 2
[3,2,7,4,8,1,6,5] => 1010101 => 3
[1,3,6,4,7,2,5,8] => 0010100 => 2
[3,2,4,7,1,8,6,5] => 1001011 => 2
[3,7,4,2,6,8,1,5] => 0110010 => 2
[3,7,4,6,2,8,1,5] => 0101010 => 3
[4,7,1,5,8,2,3,6] => 0100100 => 2
[3,7,6,4,8,2,1,5] => 0110110 => 2
[3,1,7,4,8,2,5,6] => 1010100 => 3
[2,6,7,3,8,4,1,5] => 0010110 => 2
[2,3,6,4,7,1,8,5] => 0010101 => 2
[8,7,5,2,6,3,4,1] => 1110101 => 2
[8,6,5,2,7,3,4,1] => 1110101 => 2
[7,4,8,5,6,3,2,1] => 1010111 => 2
[3,4,6,7,8,5,1,2] => 0000110 => 1
[1,2,6,4,7,5,8,3] => 0010101 => 2
[3,1,7,5,4,2,6,8] => 1011100 => 2
[6,3,8,5,4,7,1,2] => 1011010 => 3
[1,6,2,5,4,7,8,3] => 0101001 => 2
[1,8,2,5,6,3,7,4] => 0100101 => 2
[1,2,6,4,8,5,7,3] => 0010101 => 2
[7,8,3,1,4,2,5,6] => 0110100 => 2
[4,8,1,5,2,3,6,7] => 0101000 => 2
[7,4,1,5,2,3,6,8] => 1101000 => 2
[5,6,1,8,4,3,2,7] => 0101110 => 2
[5,1,8,6,4,3,2,7] => 1011110 => 2
[5,1,6,3,8,7,2,4] => 1010110 => 3
[6,1,2,5,8,3,7,4] => 1000101 => 2
[6,1,8,7,4,3,2,5] => 1011110 => 2
[7,1,2,5,4,8,6,3] => 1001011 => 2
[1,2,7,5,8,3,6,4] => 0010101 => 2
[4,1,6,3,7,5,2,8] => 1010110 => 3
[1,3,6,7,8,5,2,4] => 0000110 => 1
[1,2,6,4,7,8,5,3] => 0010011 => 1
[4,1,6,3,7,8,2,5] => 1010010 => 3
[3,1,6,4,8,2,7,5] => 1010101 => 3
[7,8,4,1,6,3,2,5] => 0110110 => 2
[4,1,6,3,8,7,2,5] => 1010110 => 3
[7,5,1,8,4,3,2,6] => 1101110 => 2
[6,5,1,7,4,3,2,8] => 1101110 => 2
[4,1,8,5,2,3,7,6] => 1011001 => 2
[4,1,6,8,3,7,2,5] => 1001010 => 3
[5,4,6,1,3,8,2,7] => 1010010 => 3
[6,5,8,1,4,3,2,7] => 1010110 => 3
[1,3,5,7,6,8,2,4] => 0001010 => 2
[1,3,5,7,6,2,8,4] => 0001101 => 1
[1,3,5,7,2,6,8,4] => 0001001 => 1
[1,3,5,2,7,6,4,8] => 0010110 => 2
[1,3,5,7,6,2,4,8] => 0001100 => 1
[1,3,5,7,4,6,8,2] => 0001001 => 1
[1,3,5,7,4,6,2,8] => 0001010 => 2
[1,3,5,7,4,2,6,8] => 0001100 => 1
[1,3,5,4,7,2,6,8] => 0010100 => 2
[1,3,5,4,7,8,2,6] => 0010010 => 2
[1,3,5,4,7,2,8,6] => 0010101 => 2
[1,3,5,7,4,2,8,6] => 0001101 => 1
[1,3,5,7,4,8,2,6] => 0001010 => 2
[1,3,5,7,4,8,6,2] => 0001011 => 1
[1,3,5,7,8,4,6,2] => 0000101 => 1
[1,3,5,7,8,4,2,6] => 0000110 => 1
[1,3,5,2,7,8,6,4] => 0010011 => 1
[1,3,5,7,2,8,6,4] => 0001011 => 1
[1,3,5,7,8,2,6,4] => 0000101 => 1
[1,6,3,2,7,4,8,5] => 0110101 => 2
[3,5,1,6,2,8,7,4] => 0101011 => 2
[1,3,7,2,5,4,8,6] => 0010101 => 2
[1,3,7,5,2,4,8,6] => 0011001 => 1
[2,5,7,4,3,8,1,6] => 0011010 => 2
[2,5,3,7,4,8,1,6] => 0101010 => 3
[2,4,7,3,1,8,6,5] => 0011011 => 1
[1,4,7,3,8,2,6,5] => 0010101 => 2
[3,2,6,7,8,1,5,4] => 1000101 => 2
[3,5,2,7,8,4,1,6] => 0100110 => 2
[1,5,7,4,8,3,2,6] => 0010110 => 2
[4,6,2,1,7,8,3,5] => 0110010 => 2
[3,5,2,6,8,4,7,1] => 0100101 => 2
[2,5,7,4,3,8,6,1] => 0011011 => 1
[1,5,7,2,4,8,6,3] => 0010011 => 1
[4,6,3,7,2,8,5,1] => 0101011 => 2
[1,4,7,3,8,6,2,5] => 0010110 => 2
[5,1,6,8,2,4,3,7] => 1001010 => 3
[5,3,7,8,2,4,1,6] => 1001010 => 3
[8,5,3,7,2,4,1,6] => 1101010 => 3
[8,2,4,7,3,1,5,6] => 1001100 => 2
[2,4,7,8,3,1,5,6] => 0001100 => 1
[6,3,1,5,8,2,4,7] => 1100100 => 2
[6,5,3,4,2,8,1,7] => 1101010 => 3
[5,2,4,3,8,1,6,7] => 1010100 => 3
[3,2,4,8,1,5,6,7] => 1001000 => 2
[3,2,4,6,8,1,5,7] => 1000100 => 2
[8,1,5,7,3,2,4,6] => 1001100 => 2
[8,4,6,7,2,3,1,5] => 1001010 => 3
[4,6,7,8,2,3,1,5] => 0001010 => 2
[7,4,6,8,2,3,1,5] => 1001010 => 3
[7,2,4,8,3,1,5,6] => 1001100 => 2
[5,3,8,7,2,4,1,6] => 1011010 => 3
[2,4,8,7,3,1,5,6] => 0011100 => 1
[4,6,8,7,2,3,1,5] => 0011010 => 2
[8,7,4,6,2,3,1,5] => 1101010 => 3
[5,6,8,7,2,3,1,4] => 0011010 => 2
[6,4,8,7,2,3,1,5] => 1011010 => 3
[3,1,7,4,2,8,6,5] => 1011011 => 2
[3,2,8,4,1,7,6,5] => 1011011 => 2
[7,6,4,8,2,3,1,5] => 1101010 => 3
[5,7,6,8,2,3,1,4] => 0101010 => 3
[4,7,6,8,2,3,1,5] => 0101010 => 3
[8,6,4,7,2,3,1,5] => 1101010 => 3
[8,2,3,7,4,1,6,5] => 1001101 => 2
[2,3,7,8,4,1,6,5] => 0001101 => 1
[3,7,4,8,2,5,1,6] => 0101010 => 3
[2,3,7,4,1,6,8,5] => 0011001 => 1
[8,1,6,4,2,3,7,5] => 1011001 => 2
[4,7,8,6,2,3,1,5] => 0011010 => 2
[2,4,7,3,1,5,8,6] => 0011001 => 1
[6,3,1,7,4,2,8,5] => 1101101 => 2
[8,5,7,6,2,3,1,4] => 1011010 => 3
[7,5,8,6,2,3,1,4] => 1011010 => 3
[7,1,6,4,2,3,8,5] => 1011001 => 2
[3,1,7,6,4,2,8,5] => 1011101 => 2
[4,8,7,6,2,3,1,5] => 0111010 => 2
[6,8,7,5,2,3,1,4] => 0111010 => 2
[4,3,6,1,5,8,7,2] => 1010011 => 2
[4,3,6,5,1,8,7,2] => 1011011 => 2
[4,6,3,5,1,8,7,2] => 0101011 => 2
[4,6,3,1,5,8,7,2] => 0110011 => 1
[4,1,6,5,3,8,7,2] => 1011011 => 2
[4,6,1,5,3,8,7,2] => 0101011 => 2
[2,6,5,3,1,8,7,4] => 0111011 => 1
[2,6,5,1,8,7,3,4] => 0110110 => 2
[2,6,5,8,1,7,3,4] => 0101010 => 3
[2,6,5,8,1,3,7,4] => 0101001 => 2
[2,6,5,8,3,1,7,4] => 0101101 => 2
[2,6,5,3,8,1,7,4] => 0110101 => 2
[4,6,1,5,8,3,7,2] => 0100101 => 2
[4,1,6,5,8,3,7,2] => 1010101 => 3
[1,4,6,5,8,3,7,2] => 0010101 => 2
[4,1,6,5,8,7,3,2] => 1010111 => 2
[2,6,5,3,8,7,1,4] => 0110110 => 2
[6,4,3,8,7,1,5,2] => 1101101 => 2
[6,4,8,3,7,1,5,2] => 1010101 => 3
[2,6,8,5,3,7,1,4] => 0011010 => 2
[4,6,8,1,5,7,3,2] => 0010011 => 1
[4,6,1,8,5,7,3,2] => 0101011 => 2
[4,1,6,8,5,7,3,2] => 1001011 => 2
[1,4,6,8,5,7,3,2] => 0001011 => 1
[1,4,6,8,5,3,7,2] => 0001101 => 1
[4,6,1,8,5,3,7,2] => 0101101 => 2
[2,6,8,5,3,1,7,4] => 0011101 => 1
[2,6,8,5,1,7,3,4] => 0011010 => 2
[4,6,8,3,5,1,7,2] => 0010101 => 2
[4,6,8,3,1,5,7,2] => 0011001 => 1
[4,6,3,1,8,5,7,2] => 0110101 => 2
[4,6,3,8,1,5,7,2] => 0101001 => 2
[4,6,3,8,5,7,1,2] => 0101010 => 3
[4,3,6,8,1,5,7,2] => 1001001 => 2
[4,3,6,1,8,5,7,2] => 1010101 => 3
[4,3,1,6,8,5,7,2] => 1100101 => 2
[4,1,3,6,8,7,5,2] => 1000111 => 1
[4,3,6,1,8,7,5,2] => 1010111 => 2
[4,3,6,8,1,7,5,2] => 1001011 => 2
[6,5,2,8,7,3,1,4] => 1101110 => 2
[6,5,2,8,7,1,3,4] => 1101100 => 2
[6,2,5,8,7,1,3,4] => 1001100 => 2
[6,2,5,8,7,3,1,4] => 1001110 => 2
[4,6,3,8,1,7,5,2] => 0101011 => 2
[4,6,3,1,8,7,5,2] => 0110111 => 1
[4,1,6,3,8,7,5,2] => 1010111 => 2
[1,4,6,3,8,7,5,2] => 0010111 => 1
[4,1,6,8,3,7,5,2] => 1001011 => 2
[4,6,1,8,3,7,5,2] => 0101011 => 2
[4,6,8,1,3,7,5,2] => 0010011 => 1
[6,2,8,5,7,3,1,4] => 1010110 => 3
[6,2,8,5,7,1,3,4] => 1010100 => 3
[2,4,8,7,1,5,3,6] => 0011010 => 2
[4,2,8,7,5,3,1,6] => 1011110 => 2
[6,4,1,8,7,5,3,2] => 1101111 => 1
[6,1,4,8,7,5,3,2] => 1001111 => 1
[1,6,4,8,7,3,5,2] => 0101101 => 2
[6,4,1,8,7,3,5,2] => 1101101 => 2
[4,2,8,7,5,1,3,6] => 1011100 => 2
[2,4,8,7,3,5,1,6] => 0011010 => 2
[2,3,4,5,6,8,9,7,1] => 00000011 => 0
[2,3,4,7,1,8,6,5] => 0001011 => 1
[2,3,4,5,7,8,9,6,1] => 00000011 => 0
[2,3,5,6,7,8,9,4,1] => 00000011 => 0
[2,4,5,6,7,8,9,3,1] => 00000011 => 0
[2,3,4,5,6,7,9,10,8,1] => 000000011 => 0
[2,3,4,7,8,5,6,1] => 0000101 => 1
[2,3,4,5,8,1,9,7,6] => 00001011 => 1
[2,3,4,5,6,8,9,10,7,1] => 000000011 => 0
[2,3,6,7,4,8,5,1] => 0001011 => 1
[2,3,4,7,1,8,9,6,5] => 00010011 => 1
[2,5,6,3,7,8,1,4] => 0010010 => 2
[2,3,7,1,4,8,6,5] => 0010011 => 1
[2,3,6,1,7,8,9,4,5] => 00100010 => 2
[2,3,4,6,7,8,9,10,5,1] => 000000011 => 0
[2,6,1,3,7,8,5,4] => 0100011 => 1
[2,5,1,6,7,8,9,4,3] => 01000011 => 1
[2,3,5,6,7,8,9,10,4,1] => 000000011 => 0
[4,1,5,6,7,8,9,3,2] => 10000011 => 1
[2,3,4,5,6,7,10,1,8,9] => 000000100 => 1
[2,3,4,5,6,7,8,10,11,9,1] => 0000000011 => 0
[2,3,4,5,8,9,6,7,1] => 00000101 => 1
[2,3,4,5,6,9,1,10,8,7] => 000001011 => 1
[2,3,4,5,6,7,9,10,11,8,1] => 0000000011 => 0
[2,3,4,7,8,5,9,6,1] => 00001011 => 1
[2,3,4,5,8,1,9,10,7,6] => 000010011 => 1
[2,3,4,5,6,8,9,10,11,1,7] => 0000000010 => 1
[2,5,6,7,4,8,1,3] => 0001010 => 2
[2,3,6,7,4,8,9,1,5] => 00010010 => 2
[2,3,4,8,1,5,9,7,6] => 00010011 => 1
[2,3,4,7,1,8,9,10,5,6] => 000100010 => 2
[2,3,4,5,7,8,9,10,11,6,1] => 0000000011 => 0
[2,5,6,3,7,8,9,4,1] => 00100011 => 1
[2,3,7,8,4,5,6,1] => 0001001 => 1
[2,3,7,1,4,8,9,6,5] => 00100011 => 1
[2,3,6,1,7,8,9,10,5,4] => 001000011 => 1
[2,3,4,6,7,8,9,10,11,5,1] => 0000000011 => 0
[4,5,2,6,7,8,9,3,1] => 01000011 => 1
[2,6,7,3,4,8,5,1] => 0010011 => 1
[2,6,1,3,7,8,9,4,5] => 01000010 => 2
[2,5,1,6,7,8,9,10,4,3] => 010000011 => 1
[2,3,5,6,7,8,9,10,11,1,4] => 0000000010 => 1
[5,1,2,6,7,8,9,4,3] => 10000011 => 1
[4,1,5,6,7,8,9,10,2,3] => 100000010 => 2
[2,4,5,6,7,8,9,10,11,3,1] => 0000000011 => 0
[3,4,5,6,7,8,9,10,11,2,1] => 0000000011 => 0
[1,5,3,2,6,4,7,8] => 0110100 => 2
[1,5,3,2,6,7,4,8] => 0110010 => 2
[1,7,3,2,8,5,4,6] => 0110110 => 2
[1,7,3,2,5,8,4,6] => 0110010 => 2
[1,3,2,7,5,4,8,6] => 0101101 => 2
[6,5,2,4,3,7,1,8] => 1101010 => 3
[6,4,2,5,3,7,1,8] => 1101010 => 3
[5,4,7,6,2,3,1,8] => 1011010 => 3
[3,6,4,8,2,1,5,7] => 0101100 => 2
[1,6,2,8,5,3,4,7] => 0101100 => 2
[4,6,2,3,7,5,1,8] => 0100110 => 2
[4,7,2,3,6,5,1,8] => 0100110 => 2
[4,7,2,3,5,6,1,8] => 0100010 => 2
[5,3,2,7,4,6,1,8] => 1101010 => 3
[5,3,2,6,4,7,1,8] => 1101010 => 3
[4,6,2,3,5,7,1,8] => 0100010 => 2
[3,5,2,1,6,8,4,7] => 0110010 => 2
[1,5,2,6,8,4,3,7] => 0100110 => 2
[1,5,7,2,8,4,3,6] => 0010110 => 2
[3,5,2,1,8,6,4,7] => 0110110 => 2
[3,6,8,4,2,1,5,7] => 0011100 => 1
[4,3,2,6,1,8,5,7] => 1101010 => 3
[1,5,8,2,7,4,3,6] => 0010110 => 2
[1,7,2,3,4,8,6,5] => 0100011 => 1
[6,8,2,3,4,1,7,5] => 0100101 => 2
[4,1,8,2,3,5,7,6] => 1010001 => 2
[2,3,1,8,4,5,7,6] => 0101001 => 2
[7,3,2,1,4,5,8,6] => 1110001 => 1
[7,8,1,4,3,5,2,6] => 0101010 => 3
[7,1,2,3,4,6,8,5] => 1000001 => 1
[6,1,2,3,4,8,7,5] => 1000011 => 1
[1,8,2,3,4,7,6,5] => 0100011 => 1
[8,1,2,3,4,6,7,5] => 1000001 => 1
[2,8,1,3,5,4,7,6] => 0100101 => 2
[8,7,1,4,3,5,2,6] => 1101010 => 3
[8,3,2,1,4,5,7,6] => 1110001 => 1
[3,8,2,1,5,6,4,7] => 0110010 => 2
[3,8,2,1,6,5,4,7] => 0110110 => 2
[1,7,8,3,5,4,2,6] => 0010110 => 2
[7,4,1,8,3,5,2,6] => 1101010 => 3
[8,4,1,7,3,5,2,6] => 1101010 => 3
[3,8,4,6,2,1,5,7] => 0101100 => 2
[8,4,2,5,3,1,6,7] => 1101100 => 2
[8,5,2,4,3,1,6,7] => 1101100 => 2
[8,3,2,5,4,1,6,7] => 1101100 => 2
[4,3,2,5,1,8,6,7] => 1101010 => 3
[3,5,2,4,1,8,6,7] => 0101010 => 3
[2,4,7,8,1,5,3,6] => 0001010 => 2
[1,8,7,3,5,4,2,6] => 0110110 => 2
[5,1,8,2,7,4,3,6] => 1010110 => 3
[5,1,7,2,8,4,3,6] => 1010110 => 3
[6,1,2,8,5,3,4,7] => 1001100 => 2
[6,3,2,1,8,4,5,7] => 1110100 => 2
[7,3,2,8,4,5,1,6] => 1101010 => 3
[2,7,8,4,3,5,1,6] => 0011010 => 2
[7,1,8,3,5,4,2,6] => 1010110 => 3
[7,8,2,3,4,6,1,5] => 0100010 => 2
[6,7,1,3,4,8,2,5] => 0100010 => 2
[6,8,1,3,4,7,2,5] => 0100010 => 2
[1,7,2,3,4,6,8,5] => 0100001 => 1
[1,6,2,3,4,8,7,5] => 0100011 => 1
[7,6,2,3,4,1,8,5] => 1100101 => 2
[8,6,2,3,4,1,7,5] => 1100101 => 2
[8,1,7,3,5,4,2,6] => 1010110 => 3
[8,3,2,7,4,5,1,6] => 1101010 => 3
[6,7,2,3,4,1,8,5] => 0100101 => 2
[7,6,2,3,4,8,1,5] => 1100010 => 2
[8,6,2,3,4,7,1,5] => 1100010 => 2
[6,3,4,8,7,5,1,2] => 1001110 => 2
[4,8,7,3,5,6,1,2] => 0110010 => 2
[4,8,7,5,3,6,1,2] => 0111010 => 2
[5,8,7,3,4,6,1,2] => 0110010 => 2
[5,8,4,2,1,6,7,3] => 0111001 => 1
[5,8,4,1,2,6,7,3] => 0110001 => 1
[5,3,7,2,6,1,8,4] => 1010101 => 3
[5,2,8,1,6,3,7,4] => 1010101 => 3
[5,8,2,1,4,7,6,3] => 0110011 => 1
[4,8,2,5,1,7,6,3] => 0101011 => 2
[7,8,4,1,2,6,5,3] => 0110011 => 1
[4,8,1,5,2,7,6,3] => 0101011 => 2
[5,8,1,2,4,7,6,3] => 0100011 => 1
[5,2,8,3,6,7,1,4] => 1010010 => 3
[3,8,7,6,2,4,1,5] => 0111010 => 2
[2,8,7,6,4,1,3,5] => 0111100 => 1
[7,8,2,6,5,1,3,4] => 0101100 => 2
[1,8,7,6,4,2,3,5] => 0111100 => 1
[2,8,7,6,3,1,4,5] => 0111100 => 1
[1,8,7,6,2,4,3,5] => 0111010 => 2
[1,8,7,6,3,4,2,5] => 0111010 => 2
[2,8,1,4,5,6,7,3] => 0100001 => 1
[2,1,7,3,6,5,8,4] => 1010101 => 3
[3,1,7,2,6,5,8,4] => 1010101 => 3
[3,2,7,1,6,5,8,4] => 1010101 => 3
[6,1,2,8,5,7,3,4] => 1001010 => 3
[6,2,1,8,5,7,3,4] => 1101010 => 3
[6,3,1,8,5,7,2,4] => 1101010 => 3
[6,4,2,1,7,5,8,3] => 1110101 => 2
[6,1,3,8,5,2,7,4] => 1001101 => 2
[2,3,7,1,6,8,5,4] => 0010011 => 1
[1,3,7,2,6,8,5,4] => 0010011 => 1
[7,8,2,6,5,3,1,4] => 0101110 => 2
[3,2,6,7,5,8,1,4] => 1001010 => 3
[1,2,7,5,6,3,8,4] => 0010101 => 2
[2,8,7,6,4,3,1,5] => 0111110 => 1
[3,8,7,6,1,2,5,4] => 0111001 => 1
[3,8,7,6,2,1,5,4] => 0111101 => 1
[4,8,7,6,2,1,3,5] => 0111100 => 1
[4,8,7,6,1,3,2,5] => 0111010 => 2
[3,8,7,6,4,1,2,5] => 0111100 => 1
[7,8,3,6,5,1,2,4] => 0101100 => 2
[2,3,7,5,6,8,1,4] => 0010010 => 2
[3,8,7,6,4,2,1,5] => 0111110 => 1
[5,1,4,6,8,2,3,7] => 1000100 => 2
[1,7,6,3,5,4,8,2] => 0110101 => 2
[4,3,7,2,6,5,1,8] => 1010110 => 3
[3,4,6,1,5,7,2,8] => 0010010 => 2
[1,6,8,5,7,3,4,2] => 0010101 => 2
[2,4,1,5,8,6,3,7] => 0100110 => 2
[4,6,1,2,5,8,3,7] => 0100010 => 2
[5,6,7,2,1,4,8,3] => 0011001 => 1
[7,8,6,5,1,2,4,3] => 0111001 => 1
[1,3,6,5,7,8,2,4] => 0010010 => 2
[7,4,8,5,3,1,6,2] => 1011101 => 2
[6,8,5,2,4,1,7,3] => 0110101 => 2
[2,3,1,6,8,5,7,4] => 0100101 => 2
[7,3,2,5,1,4,8,6] => 1101001 => 2
[7,1,4,2,3,6,8,5] => 1010001 => 2
[1,5,8,3,4,6,7,2] => 0010001 => 1
[8,3,1,2,4,7,6,5] => 1100011 => 1
[2,3,8,1,6,5,4,7] => 0010110 => 2
[8,1,4,7,2,5,3,6] => 1001010 => 3
[3,5,2,4,1,7,8,6] => 0101001 => 2
[3,4,7,8,6,2,1,5] => 0001110 => 1
[3,4,8,6,2,7,1,5] => 0011010 => 2
[5,8,2,1,6,7,3,4] => 0110010 => 2
[5,7,2,8,6,4,3,1] => 0101111 => 1
[6,1,2,7,5,3,8,4] => 1001101 => 2
[7,3,2,8,6,4,1,5] => 1101110 => 2
[2,7,8,4,6,3,1,5] => 0010110 => 2
[1,4,5,7,2,6,8,3] => 0001001 => 1
[7,3,5,2,6,1,8,4] => 1010101 => 3
[8,5,2,3,6,1,7,4] => 1100101 => 2
[8,1,6,3,5,7,2,4] => 1010010 => 3
[2,8,6,4,3,7,1,5] => 0111010 => 2
[8,3,2,6,4,7,1,5] => 1101010 => 3
[2,3,8,7,6,5,1,4] => 0011110 => 1
[1,2,8,7,3,6,5,4] => 0011011 => 1
[4,2,8,7,3,6,1,5] => 1011010 => 3
[4,5,8,7,1,2,6,3] => 0011001 => 1
[1,5,8,7,3,2,6,4] => 0011101 => 1
[4,5,8,7,3,2,1,6] => 0011110 => 1
[2,6,8,1,7,5,4,3] => 0010111 => 1
[3,6,8,4,7,2,1,5] => 0010110 => 2
[2,5,8,3,7,6,1,4] => 0010110 => 2
[3,2,8,4,7,6,1,5] => 1010110 => 3
[1,5,8,3,7,2,6,4] => 0010101 => 2
[3,5,8,4,7,2,1,6] => 0010110 => 2
[5,6,8,2,3,7,1,4] => 0010010 => 2
[1,6,8,4,2,7,5,3] => 0011011 => 1
[1,5,8,4,2,7,6,3] => 0011011 => 1
[1,5,8,2,3,7,6,4] => 0010011 => 1
[2,1,8,4,3,7,6,5] => 1011011 => 2
[2,5,8,4,3,7,1,6] => 0011010 => 2
[5,6,8,4,1,2,7,3] => 0011001 => 1
[5,6,8,1,3,2,7,4] => 0010101 => 2
[1,6,8,4,3,2,7,5] => 0011101 => 1
[5,6,8,4,3,2,1,7] => 0011110 => 1
[7,1,2,8,6,5,4,3] => 1001111 => 1
[7,1,4,8,6,2,5,3] => 1001101 => 2
[7,3,1,8,6,2,5,4] => 1101101 => 2
[7,2,4,8,3,6,1,5] => 1001010 => 3
[7,1,4,8,3,2,6,5] => 1001101 => 2
[7,4,5,8,3,2,1,6] => 1001110 => 2
[1,6,2,8,7,5,4,3] => 0101111 => 1
[1,6,4,8,7,2,5,3] => 0101101 => 2
[3,6,4,8,7,2,1,5] => 0101110 => 2
[3,2,5,8,7,6,1,4] => 1001110 => 2
[3,2,4,8,7,6,1,5] => 1001110 => 2
[3,1,5,8,7,2,6,4] => 1001101 => 2
[3,1,4,8,7,2,6,5] => 1001101 => 2
[1,6,4,8,2,7,5,3] => 0101011 => 2
[1,4,5,8,2,7,6,3] => 0001011 => 1
[2,4,5,8,3,7,1,6] => 0001010 => 2
[4,6,5,8,1,2,7,3] => 0101001 => 2
[1,6,4,8,3,2,7,5] => 0101101 => 2
[1,4,5,8,3,2,7,6] => 0001101 => 1
[7,6,1,4,8,2,5,3] => 1100101 => 2
[7,6,1,3,8,2,5,4] => 1100101 => 2
[7,6,3,4,8,2,1,5] => 1100110 => 2
[7,2,5,1,8,6,4,3] => 1010111 => 2
[7,2,5,3,8,6,1,4] => 1010110 => 3
[7,2,1,4,8,6,5,3] => 1100111 => 1
[7,2,1,3,8,6,5,4] => 1100111 => 1
[7,2,3,4,8,6,1,5] => 1000110 => 2
[7,3,5,4,8,2,1,6] => 1010110 => 3
[2,6,5,1,8,7,4,3] => 0110111 => 1
[2,3,5,4,8,7,1,6] => 0010110 => 2
[1,6,5,4,8,2,7,3] => 0110101 => 2
[1,6,5,3,8,2,7,4] => 0110101 => 2
[1,6,3,4,8,2,7,5] => 0100101 => 2
[1,3,5,4,8,2,7,6] => 0010101 => 2
[3,6,5,4,8,2,1,7] => 0110110 => 2
[7,6,5,2,3,8,1,4] => 1110010 => 2
[7,6,1,4,2,8,5,3] => 1101011 => 2
[7,6,1,2,3,8,5,4] => 1100011 => 1
[7,6,2,4,3,8,1,5] => 1101010 => 3
[7,1,5,4,2,8,6,3] => 1011011 => 2
[7,1,5,2,3,8,6,4] => 1010011 => 2
[7,1,2,4,3,8,6,5] => 1001011 => 2
[2,6,5,4,3,8,1,7] => 0111010 => 2
[7,6,1,4,3,2,8,5] => 1101101 => 2
[7,1,5,4,3,2,8,6] => 1011101 => 2
[3,4,2,6,7,8,1,5] => 0100010 => 2
[3,1,4,2,6,8,7,5] => 1010011 => 2
[8,3,4,2,6,1,7,5] => 1010101 => 3
[2,6,7,3,5,4,1,8] => 0010110 => 2
[2,7,8,3,5,4,1,6] => 0010110 => 2
[2,6,8,3,5,4,1,7] => 0010110 => 2
[4,7,1,2,8,5,3,6] => 0100110 => 2
[4,8,1,2,7,5,3,6] => 0100110 => 2
[2,1,6,3,7,5,4,8] => 1010110 => 3
[2,7,1,3,6,8,4,5] => 0100010 => 2
[6,7,3,2,8,1,4,5] => 0110100 => 2
[7,3,4,2,6,1,8,5] => 1010101 => 3
[7,4,1,2,8,5,3,6] => 1100110 => 2
[8,7,4,2,1,5,3,6] => 1111010 => 2
[7,4,1,2,6,5,3,8] => 1100110 => 2
[7,4,3,1,5,6,8,2] => 1110001 => 1
[6,7,4,1,5,8,3,2] => 0110011 => 1
[4,7,5,1,6,8,3,2] => 0110011 => 1
[4,5,3,1,7,6,8,2] => 0110101 => 2
[4,6,1,2,7,5,3,8] => 0100110 => 2
[2,7,1,3,6,5,4,8] => 0100110 => 2
[4,1,8,2,6,5,3,7] => 1010110 => 3
[4,6,1,2,8,5,3,7] => 0100110 => 2
[8,4,3,1,5,6,7,2] => 1110001 => 1
[4,5,3,1,8,6,7,2] => 0110101 => 2
[4,8,5,6,3,1,7,2] => 0101101 => 2
[5,1,3,4,8,6,7,2] => 1000101 => 2
[5,4,3,8,1,6,7,2] => 1101001 => 2
[8,5,3,4,1,6,7,2] => 1101001 => 2
[6,4,8,2,1,5,3,7] => 1011010 => 3
[6,7,3,2,5,1,4,8] => 0110100 => 2
[6,8,3,2,5,1,4,7] => 0110100 => 2
[5,7,1,4,6,8,3,2] => 0100011 => 1
[5,1,3,4,7,6,8,2] => 1000101 => 2
[6,1,4,2,7,5,3,8] => 1010110 => 3
[5,4,3,7,1,6,8,2] => 1101001 => 2
[6,7,5,4,1,8,3,2] => 0111011 => 1
[7,6,4,2,1,5,3,8] => 1111010 => 2
[8,2,7,6,5,4,1,3] => 1011110 => 2
[7,2,8,6,5,4,3,1] => 1011111 => 1
[8,1,9,7,6,5,4,3,2] => 10111111 => 1
[2,10,9,8,7,6,5,4,1,3] => 011111110 => 1
[9,2,8,7,6,5,4,1,3] => 10111110 => 2
[3,9,8,7,6,5,4,1,2] => 01111110 => 1
[8,7,2,6,5,4,1,3] => 1101110 => 2
[3,2,8,7,6,5,1,4] => 1011110 => 2
[4,8,7,6,5,3,1,2] => 0111110 => 1
[7,8,6,1,5,4,3,2] => 0110111 => 1
[8,9,1,7,6,5,4,3,2] => 01011111 => 1
[7,3,8,6,5,4,2,1] => 1011111 => 1
[8,2,9,7,6,5,4,3,1] => 10111111 => 1
[9,1,10,8,7,6,5,4,3,2] => 101111111 => 1
[4,8,5,7,6,3,2,1] => 0101111 => 1
[3,8,7,4,6,5,2,1] => 0110111 => 1
[2,8,7,6,3,5,4,1] => 0111011 => 1
[8,5,6,1,3,2,4,7] => 1010100 => 3
[8,6,1,5,3,2,4,7] => 1101100 => 2
[7,8,1,5,3,2,4,6] => 0101100 => 2
[8,1,7,5,3,2,4,6] => 1011100 => 2
[8,6,1,4,5,2,3,7] => 1100100 => 2
[8,6,3,1,5,2,4,7] => 1110100 => 2
[8,4,6,1,5,2,3,7] => 1010100 => 3
[8,6,2,1,5,4,3,7] => 1110110 => 2
[8,5,2,6,1,4,3,7] => 1101010 => 3
[8,5,2,1,7,4,3,6] => 1110110 => 2
[7,8,2,1,5,4,3,6] => 0110110 => 2
[7,8,3,1,5,2,4,6] => 0110100 => 2
[8,2,7,5,1,3,4,6] => 1011000 => 2
[8,4,1,7,5,2,3,6] => 1101100 => 2
[8,2,7,1,5,4,3,6] => 1010110 => 3
[8,2,6,1,7,4,3,5] => 1010110 => 3
[8,1,7,4,3,2,6,5] => 1011101 => 2
[8,1,5,7,3,2,6,4] => 1001101 => 2
[5,7,8,1,3,2,6,4] => 0010101 => 2
[8,2,6,1,5,7,3,4] => 1010010 => 3
[5,8,1,6,7,2,3,4] => 0100100 => 2
[5,7,6,1,8,2,3,4] => 0110100 => 2
[6,7,2,5,1,8,3,4] => 0101010 => 3
[7,5,1,6,8,2,3,4] => 1100100 => 2
[6,5,7,1,8,2,3,4] => 1010100 => 3
[6,7,3,8,1,2,4,5] => 0101000 => 2
[7,5,4,1,8,2,3,6] => 1110100 => 2
[7,6,1,4,8,2,3,5] => 1100100 => 2
[8,1,6,4,7,2,3,5] => 1010100 => 3
[7,5,8,1,3,2,4,6] => 1010100 => 3
[7,8,4,1,3,2,5,6] => 0110100 => 2
[8,3,7,4,1,2,5,6] => 1011000 => 2
[8,5,1,7,3,2,4,6] => 1101100 => 2
[6,8,1,7,3,2,4,5] => 0101100 => 2
[7,1,8,4,3,6,2,5] => 1011010 => 3
[7,3,1,8,6,4,2,5] => 1101110 => 2
[8,3,1,7,4,6,2,5] => 1101010 => 3
[8,4,5,1,7,2,3,6] => 1010100 => 3
[5,6,8,1,7,2,3,4] => 0010100 => 2
[6,5,8,1,2,7,3,4] => 1010010 => 3
[7,3,1,8,5,6,2,4] => 1101010 => 3
[6,2,7,8,3,1,5,4] => 1001101 => 2
[5,8,1,7,3,2,6,4] => 0101101 => 2
[8,4,1,7,3,2,6,5] => 1101101 => 2
[8,3,4,7,1,2,6,5] => 1001001 => 2
[8,2,7,4,1,3,6,5] => 1011001 => 2
[7,4,8,2,1,3,6,5] => 1011001 => 2
[7,4,3,8,1,2,6,5] => 1101001 => 2
[8,2,3,6,7,1,5,4] => 1000101 => 2
[2,6,8,7,1,5,4,3] => 0011011 => 1
[7,8,5,2,3,6,4,1] => 0110011 => 1
[8,7,5,2,3,1,6,4] => 1110101 => 2
[6,8,5,2,3,4,7,1] => 0110001 => 1
[3,5,2,6,8,1,4,7] => 0100100 => 2
[3,5,2,4,6,8,1,7] => 0100010 => 2
[2,4,5,7,3,6,8,1] => 0001001 => 1
[2,4,5,3,6,8,1,7] => 0010010 => 2
[5,2,4,6,8,1,3,7] => 1000100 => 2
[5,1,3,4,6,8,2,7] => 1000010 => 2
[4,3,5,2,6,8,1,7] => 1010010 => 3
[4,3,5,7,2,8,1,6] => 1001010 => 3
[4,3,5,7,2,6,8,1] => 1001001 => 2
[4,6,3,7,2,5,8,1] => 0101001 => 2
[4,6,3,1,7,8,2,5] => 0110010 => 2
[4,3,5,1,7,8,2,6] => 1010010 => 3
[5,7,1,3,4,8,2,6] => 0100010 => 2
[5,7,1,3,4,6,8,2] => 0100001 => 1
[4,5,7,1,3,6,8,2] => 0010001 => 1
[4,3,6,7,1,5,8,2] => 1001001 => 2
[4,6,3,5,1,7,8,2] => 0101001 => 2
[4,6,3,5,7,2,8,1] => 0100101 => 2
[3,5,6,4,1,7,8,2] => 0011001 => 1
[3,1,5,6,7,4,8,2] => 1000101 => 2
[5,1,6,7,3,4,8,2] => 1001001 => 2
[6,4,7,1,3,5,8,2] => 1010001 => 2
[1,6,7,3,4,5,8,2] => 0010001 => 1
[2,6,7,4,5,8,1,3] => 0010010 => 2
[2,6,7,4,8,1,3,5] => 0010100 => 2
[5,3,6,1,2,7,8,4] => 1010001 => 2
[3,5,2,6,1,7,8,4] => 0101001 => 2
[3,5,2,6,7,4,8,1] => 0100101 => 2
[5,2,3,6,7,4,8,1] => 1000101 => 2
[5,2,3,6,1,7,8,4] => 1001001 => 2
[5,2,6,1,3,7,8,4] => 1010001 => 2
[4,2,6,7,3,5,8,1] => 1001001 => 2
[6,3,7,2,4,5,8,1] => 1010001 => 2
[3,5,7,2,8,1,4,6] => 0010100 => 2
[3,7,2,4,8,1,5,6] => 0100100 => 2
[7,2,4,6,8,1,3,5] => 1000100 => 2
[7,1,3,4,6,8,2,5] => 1000010 => 2
[3,7,2,4,6,8,1,5] => 0100010 => 2
[3,5,7,2,6,8,1,4] => 0010010 => 2
[6,3,7,2,5,8,1,4] => 1010010 => 3
[6,3,5,7,2,8,1,4] => 1001010 => 3
[6,3,5,7,2,4,8,1] => 1001001 => 2
[6,2,4,5,7,3,8,1] => 1000101 => 2
[6,2,4,5,1,7,8,3] => 1001001 => 2
[4,7,1,2,5,6,8,3] => 0100001 => 1
[2,6,7,5,8,1,3,4] => 0010100 => 2
[4,6,7,1,2,5,8,3] => 0010001 => 1
[5,6,2,4,7,3,8,1] => 0100101 => 2
[5,4,2,6,7,3,8,1] => 1100101 => 2
[5,4,2,6,1,7,8,3] => 1101001 => 2
[1,5,4,6,2,7,8,3] => 0101001 => 2
[5,6,4,1,2,7,8,3] => 0110001 => 1
[6,4,5,1,2,7,8,3] => 1010001 => 2
[6,3,5,1,7,8,2,4] => 1010010 => 3
[6,5,7,2,8,1,3,4] => 1010100 => 3
[6,5,7,1,3,4,8,2] => 1010001 => 2
[5,6,4,7,1,3,8,2] => 0101001 => 2
[5,4,6,3,1,7,8,2] => 1011001 => 2
[7,5,3,2,4,8,1,6] => 1110010 => 2
[8,4,5,2,6,1,3,7] => 1010100 => 3
[8,5,4,2,1,6,3,7] => 1111010 => 2
[8,5,3,4,1,6,2,7] => 1101010 => 3
[8,4,5,3,1,6,2,7] => 1011010 => 3
[7,5,4,2,1,8,3,6] => 1111010 => 2
[7,5,4,2,1,6,8,3] => 1111001 => 1
[7,4,5,3,1,6,8,2] => 1011001 => 2
[7,4,3,5,6,1,8,2] => 1100101 => 2
[5,6,3,7,4,1,8,2] => 0101101 => 2
[5,6,7,3,1,4,8,2] => 0011001 => 1
[6,7,3,4,1,5,8,2] => 0101001 => 2
[6,7,4,2,1,5,8,3] => 0111001 => 1
[5,6,7,3,1,8,2,4] => 0011010 => 2
[5,6,3,7,8,1,2,4] => 0100100 => 2
[5,6,3,7,2,4,8,1] => 0101001 => 2
[5,6,7,2,3,8,1,4] => 0010010 => 2
[7,4,5,2,8,1,3,6] => 1010100 => 3
[6,7,3,2,4,8,1,5] => 0110010 => 2
[7,6,4,2,1,3,8,5] => 1111001 => 1
[7,6,3,4,1,2,8,5] => 1101001 => 2
[7,6,3,2,4,1,8,5] => 1110101 => 2
[6,7,3,2,5,1,8,4] => 0110101 => 2
[6,5,3,2,7,8,1,4] => 1110010 => 2
[6,5,3,2,7,4,8,1] => 1110101 => 2
[6,4,5,2,7,3,8,1] => 1010101 => 3
[6,4,5,2,7,8,1,3] => 1010010 => 3
[7,4,5,2,6,1,8,3] => 1010101 => 3
[7,4,5,6,1,2,8,3] => 1001001 => 2
[7,5,6,2,1,3,8,4] => 1011001 => 2
[6,7,3,5,1,2,8,4] => 0101001 => 2
[5,6,7,4,1,2,8,3] => 0011001 => 1
[5,6,7,2,4,1,8,3] => 0010101 => 2
[5,6,4,2,7,8,1,3] => 0110010 => 2
[6,5,7,2,1,8,3,4] => 1011010 => 3
[6,5,7,2,1,4,8,3] => 1011001 => 2
[5,4,6,7,3,1,8,2] => 1001101 => 2
[5,7,8,3,6,4,1,2] => 0010110 => 2
[3,7,8,5,6,4,1,2] => 0010110 => 2
[3,7,8,5,6,1,4,2] => 0010101 => 2
[1,7,8,5,6,3,4,2] => 0010101 => 2
[1,7,5,8,6,3,4,2] => 0101101 => 2
[3,7,5,8,6,1,4,2] => 0101101 => 2
[3,7,5,8,6,4,1,2] => 0101110 => 2
[5,7,3,8,6,4,1,2] => 0101110 => 2
[7,3,8,5,6,4,1,2] => 1010110 => 3
[7,3,5,8,6,4,1,2] => 1001110 => 2
[3,5,7,8,6,4,1,2] => 0001110 => 1
[1,5,7,8,6,3,4,2] => 0001101 => 1
[1,5,7,8,3,6,4,2] => 0001011 => 1
[3,5,7,8,1,6,4,2] => 0001011 => 1
[5,3,7,8,1,6,4,2] => 1001011 => 2
[7,3,5,8,6,1,4,2] => 1001101 => 2
[7,3,8,5,6,1,4,2] => 1010101 => 3
[7,8,1,5,6,3,4,2] => 0100101 => 2
[7,1,8,5,6,3,4,2] => 1010101 => 3
[7,1,5,8,6,3,4,2] => 1001101 => 2
[5,1,7,8,3,6,4,2] => 1001011 => 2
[3,1,7,8,5,6,4,2] => 1001011 => 2
[1,3,7,8,5,6,4,2] => 0001011 => 1
[3,1,7,5,8,6,4,2] => 1010111 => 2
[5,1,7,3,8,6,4,2] => 1010111 => 2
[7,1,5,3,8,6,4,2] => 1010111 => 2
[7,1,5,8,3,6,4,2] => 1001011 => 2
[7,8,1,5,3,6,4,2] => 0101011 => 2
[7,8,3,5,1,6,4,2] => 0101011 => 2
[7,3,5,8,1,6,4,2] => 1001011 => 2
[5,3,7,1,8,6,4,2] => 1010111 => 2
[3,5,7,1,8,6,4,2] => 0010111 => 1
[1,7,5,3,8,6,4,2] => 0110111 => 1
[5,7,3,1,8,6,4,2] => 0110111 => 1
[5,7,3,8,6,1,4,2] => 0101101 => 2
[3,7,5,8,1,6,4,2] => 0101011 => 2
[1,7,5,8,3,6,4,2] => 0101011 => 2
[1,7,8,5,3,6,4,2] => 0011011 => 1
[3,7,8,5,1,6,4,2] => 0011011 => 1
[5,7,8,3,6,1,4,2] => 0010101 => 2
[5,7,8,6,3,1,4,2] => 0011101 => 1
[7,5,8,6,1,3,4,2] => 1011001 => 2
[5,7,8,1,6,3,4,2] => 0010101 => 2
[5,7,8,1,3,6,4,2] => 0010011 => 1
[3,7,8,1,5,6,4,2] => 0010011 => 1
[1,7,8,3,5,6,4,2] => 0010011 => 1
[1,7,3,8,5,6,4,2] => 0101011 => 2
[3,7,1,8,5,6,4,2] => 0101011 => 2
[5,7,1,8,3,6,4,2] => 0101011 => 2
[5,7,1,8,6,3,4,2] => 0101101 => 2
[7,5,1,8,6,3,4,2] => 1101101 => 2
[7,5,8,1,6,3,4,2] => 1010101 => 3
[7,8,5,1,6,3,4,2] => 0110101 => 2
[7,8,5,1,3,6,4,2] => 0110011 => 1
[7,5,8,1,3,6,4,2] => 1010011 => 2
[7,5,1,8,3,6,4,2] => 1101011 => 2
[7,5,1,3,8,6,4,2] => 1100111 => 1
[5,7,1,3,8,6,4,2] => 0100111 => 1
[3,7,1,5,8,6,4,2] => 0100111 => 1
[1,7,3,5,8,6,4,2] => 0100111 => 1
[1,5,3,7,8,6,4,2] => 0100111 => 1
[3,5,1,7,8,6,4,2] => 0100111 => 1
[5,3,1,7,8,6,4,2] => 1100111 => 1
[7,3,1,5,8,6,4,2] => 1100111 => 1
[7,3,1,8,5,6,4,2] => 1101011 => 2
[7,3,8,1,5,6,4,2] => 1010011 => 2
[7,8,3,1,5,6,4,2] => 0110011 => 1
[7,8,1,3,5,6,4,2] => 0100011 => 1
[7,1,8,3,5,6,4,2] => 1010011 => 2
[7,1,3,8,5,6,4,2] => 1001011 => 2
[7,1,3,5,8,6,4,2] => 1000111 => 1
[3,1,5,7,8,6,4,2] => 1000111 => 1
[5,7,3,4,6,8,1,2] => 0100010 => 2
[5,7,3,4,8,6,1,2] => 0100110 => 2
[5,7,3,4,8,1,6,2] => 0100101 => 2
[5,7,3,4,1,8,6,2] => 0101011 => 2
[5,7,3,4,1,6,8,2] => 0101001 => 2
[5,7,3,4,6,1,2,8] => 0100100 => 2
[7,3,5,6,1,2,8,4] => 1001001 => 2
[5,7,3,1,4,6,2,8] => 0110010 => 2
[5,7,3,1,4,6,8,2] => 0110001 => 1
[5,7,3,1,4,8,6,2] => 0110011 => 1
[5,7,3,1,4,8,2,6] => 0110010 => 2
[5,3,7,4,1,2,8,6] => 1011001 => 2
[5,3,7,4,1,2,6,8] => 1011000 => 2
[5,3,7,1,4,2,6,8] => 1010100 => 3
[5,3,7,1,4,2,8,6] => 1010101 => 3
[3,7,5,1,2,8,6,4] => 0110011 => 1
[7,8,3,5,1,2,6,4] => 0101001 => 2
[7,3,8,5,1,2,6,4] => 1011001 => 2
[7,3,5,8,1,2,6,4] => 1001001 => 2
[3,7,5,1,2,6,4,8] => 0110010 => 2
[3,7,5,1,2,6,8,4] => 0110001 => 1
[6,1,4,3,5,2,8,7] => 1010101 => 3
[2,5,7,3,8,4,1,6] => 0010110 => 2
[5,4,7,8,6,1,3,2] => 1001101 => 2
[7,5,6,2,8,3,1,4] => 1010110 => 3
[4,7,2,5,8,3,1,6] => 0100110 => 2
[6,2,4,5,1,3,8,7] => 1001001 => 2
[5,1,4,6,3,2,8,7] => 1001101 => 2
[3,5,6,2,4,1,8,7] => 0010101 => 2
[3,8,6,7,5,4,1,2] => 0101110 => 2
[6,2,7,8,3,4,1,5] => 1001010 => 3
[2,5,3,4,8,1,7,6] => 0100101 => 2
[8,7,1,2,5,3,4,6] => 1100100 => 2
[5,1,8,2,3,4,7,6] => 1010001 => 2
[5,4,7,6,2,8,1,3] => 1011010 => 3
[3,7,8,1,5,4,6,2] => 0010101 => 2
[7,1,3,4,6,8,5,2] => 1000011 => 1
[8,3,6,5,7,1,4,2] => 1010101 => 3
[5,8,7,1,4,6,2,3] => 0110010 => 2
[4,7,6,1,8,3,5,2] => 0110101 => 2
[4,7,2,6,3,8,5,1] => 0101011 => 2
[2,1,8,4,6,7,3,5] => 1010010 => 3
[4,7,8,6,3,1,2,5] => 0011100 => 1
[3,8,1,5,6,7,2,4] => 0100010 => 2
[6,7,2,4,8,5,3,1] => 0100111 => 1
[2,8,3,6,7,5,1,4] => 0100110 => 2
[8,2,1,7,6,3,5,4] => 1101101 => 2
[3,2,4,5,8,1,7,6] => 1000101 => 2
[7,4,6,3,2,1,8,5] => 1011101 => 2
[4,7,3,2,1,8,6,5] => 0111011 => 1
[6,4,7,5,2,3,8,1] => 1011001 => 2
[6,4,8,1,7,3,2,5] => 1010110 => 3
[4,8,7,2,3,1,5,6] => 0110100 => 2
[4,2,3,1,8,7,5,6] => 1010110 => 3
[7,6,8,1,3,5,2,4] => 1010010 => 3
[6,7,5,2,3,1,8,4] => 0110101 => 2
[4,7,2,6,5,1,8,3] => 0101101 => 2
[6,4,2,1,8,5,7,3] => 1110101 => 2
[7,2,1,5,6,8,4,3] => 1100011 => 1
[8,7,2,6,4,1,5,3] => 1101101 => 2
[6,7,8,2,5,3,1,4] => 0010110 => 2
[2,1,7,3,6,8,5,4] => 1010011 => 2
[2,1,5,7,8,4,6,3] => 1000101 => 2
[2,5,7,8,3,6,1,4] => 0001010 => 2
[6,4,1,5,7,2,8,3] => 1100101 => 2
[7,4,8,1,2,5,6,3] => 1010001 => 2
[4,2,7,8,6,3,5,1] => 1001101 => 2
[6,1,7,4,3,2,8,5] => 1011101 => 2
[6,8,3,4,2,1,7,5] => 0101101 => 2
[4,2,6,1,5,7,8,3] => 1010001 => 2
[2,4,6,7,3,5,8,1] => 0001001 => 1
[6,5,8,3,7,4,1,2] => 1010110 => 3
[7,1,4,8,3,5,6,2] => 1001001 => 2
[6,8,7,5,3,4,1,2] => 0111010 => 2
[4,8,6,3,1,5,7,2] => 0111001 => 1
[3,4,8,2,5,7,6,1] => 0010011 => 1
[3,5,7,2,8,6,1,4] => 0010110 => 2
[2,5,7,4,8,6,1,3] => 0010110 => 2
[2,6,3,7,5,1,8,4] => 0101101 => 2
[2,6,4,8,7,5,1,3] => 0101110 => 2
[6,3,7,2,8,5,1,4] => 1010110 => 3
[3,6,2,5,8,7,1,4] => 0100110 => 2
[5,2,8,4,7,6,1,3] => 1010110 => 3
[7,2,4,8,6,5,1,3] => 1001110 => 2
[6,2,4,8,7,5,1,3] => 1001110 => 2
[2,4,5,8,7,6,1,3] => 0001110 => 1
[4,2,7,3,8,1,6,5] => 1010101 => 3
[2,5,1,4,7,3,8,6] => 0100101 => 2
[6,1,3,8,7,2,5,4] => 1001101 => 2
[3,1,5,6,2,8,7,4] => 1001011 => 2
[4,1,5,2,8,7,6,3] => 1010111 => 2
[7,1,4,2,8,6,5,3] => 1010111 => 2
[4,1,5,3,2,8,7,6] => 1011011 => 2
[7,2,3,5,1,8,6,4] => 1001011 => 2
[3,4,5,1,8,7,6,2] => 0010111 => 1
[1,4,5,2,8,7,6,3] => 0010111 => 1
[1,6,4,2,8,7,5,3] => 0110111 => 1
[5,6,3,1,8,7,4,2] => 0110111 => 1
[7,4,2,5,1,8,6,3] => 1101011 => 2
[5,3,6,2,8,1,7,4] => 1010101 => 3
[4,6,2,7,5,1,8,3] => 0101101 => 2
[1,5,3,6,2,8,7,4] => 0101011 => 2
[1,5,8,3,2,7,6,4] => 0011011 => 1
[4,5,8,2,1,7,6,3] => 0011011 => 1
[3,6,2,5,1,4,8,7] => 0101001 => 2
[5,2,8,4,1,3,7,6] => 1011001 => 2
[2,4,8,7,1,3,6,5] => 0011001 => 1
[1,3,8,2,4,7,6,5] => 0010011 => 1
[6,3,1,7,2,8,5,4] => 1101011 => 2
[7,5,1,2,8,6,4,3] => 1100111 => 1
[1,5,2,3,8,7,6,4] => 0100111 => 1
[4,5,1,2,8,7,6,3] => 0100111 => 1
[6,4,1,2,8,7,5,3] => 1100111 => 1
[5,3,1,7,2,8,6,4] => 1101011 => 2
[5,2,8,1,3,7,6,4] => 1010011 => 2
[4,7,5,6,8,3,1,2] => 0100110 => 2
[8,6,4,7,5,3,1,2] => 1101110 => 2
[1,6,3,7,5,8,4,2] => 0101011 => 2
[1,3,7,4,5,8,6,2] => 0010011 => 1
[6,8,4,7,5,3,1,2] => 0101110 => 2
[4,8,7,5,6,3,1,2] => 0110110 => 2
[8,6,5,2,1,4,3,7] => 1111010 => 2
[2,7,6,3,1,4,5,8] => 0111000 => 1
[2,7,6,4,5,1,3,8] => 0110100 => 2
[5,7,2,6,4,1,3,8] => 0101100 => 2
[1,8,2,7,3,6,5,4] => 0101011 => 2
[2,1,3,8,4,7,5,6] => 1001010 => 3
[8,1,2,7,4,3,6,5] => 1001101 => 2
[8,7,2,1,5,4,3,6] => 1110110 => 2
[2,4,8,3,1,5,6,7] => 0011000 => 1
[4,7,3,8,2,1,5,6] => 0101100 => 2
[5,2,7,3,1,4,6,8] => 1011000 => 2
[8,3,7,2,1,5,4,6] => 1011010 => 3
[2,6,4,5,7,1,3,8] => 0100100 => 2
[7,6,3,1,8,4,5,2] => 1110101 => 2
[1,7,5,8,6,4,3,2] => 0101111 => 1
[6,5,1,2,8,3,7,4] => 1100101 => 2
[6,8,4,1,3,7,5,2] => 0110011 => 1
[5,8,3,1,7,4,6,2] => 0110101 => 2
[8,3,1,7,5,4,6,2] => 1101101 => 2
[1,2,8,7,6,3,5,4] => 0011101 => 1
[2,3,1,8,7,4,5,6] => 0101100 => 2
[2,4,1,8,5,7,3,6] => 0101010 => 3
[5,8,2,1,7,6,3,4] => 0110110 => 2
[6,2,7,1,8,5,3,4] => 1010110 => 3
[8,7,1,6,5,4,3,2] => 1101111 => 1
[7,1,8,3,6,5,4,2] => 1010111 => 2
[8,1,2,3,4,5,9,6,7] => 10000010 => 2
[8,1,2,3,4,9,5,6,7] => 10000100 => 2
[8,1,2,9,3,4,5,6,7] => 10010000 => 2
[8,1,9,2,3,4,5,6,7] => 10100000 => 2
[6,1,2,3,4,5,8,9,7] => 10000001 => 1
[9,1,2,3,4,5,6,10,7,8] => 100000010 => 2
[5,1,2,3,4,8,9,6,7] => 10000010 => 2
[9,1,2,3,4,5,10,6,7,8] => 100000100 => 2
[4,1,2,3,8,9,5,6,7] => 10000100 => 2
[3,1,2,8,9,4,5,6,7] => 10001000 => 2
[9,1,2,3,10,4,5,6,7,8] => 100010000 => 2
[2,1,8,9,3,4,5,6,7] => 10010000 => 2
[9,1,2,10,3,4,5,6,7,8] => 100100000 => 2
[3,5,8,7,2,6,4,1] => 0011011 => 1
[5,8,2,7,1,6,4,3] => 0101011 => 2
[2,1,6,4,5,8,3,7] => 1010010 => 3
[8,6,3,7,5,2,1,4] => 1101110 => 2
[4,6,3,8,5,2,1,7] => 0101110 => 2
[4,6,3,7,5,2,8,1] => 0101101 => 2
[3,5,7,8,2,6,1,4] => 0001010 => 2
[7,2,3,4,6,8,5,1] => 1000011 => 1
[4,2,3,6,1,5,8,7] => 1001001 => 2
[4,8,3,7,5,1,6,2] => 0101101 => 2
[5,2,3,4,8,7,1,6] => 1000110 => 2
[5,2,3,4,6,8,1,7] => 1000010 => 2
[4,2,8,5,7,6,1,3] => 1010110 => 3
[3,7,6,4,5,1,8,2] => 0110101 => 2
[3,8,6,4,5,1,2,7] => 0110100 => 2
[4,8,3,7,5,2,1,6] => 0101110 => 2
[8,7,3,6,5,1,2,4] => 1101100 => 2
[4,2,7,5,8,6,3,1] => 1010111 => 2
[5,8,1,7,3,6,4,2] => 0101011 => 2
[5,2,7,8,4,6,3,1] => 1001011 => 2
[5,2,8,3,7,6,1,4] => 1010110 => 3
[8,2,7,3,1,6,4,5] => 1011010 => 3
[6,2,3,4,8,5,1,7] => 1000110 => 2
[6,2,3,4,1,8,5,7] => 1001010 => 3
[7,2,3,4,1,8,6,5] => 1001011 => 2
[7,2,3,4,1,5,8,6] => 1001001 => 2
[1,2,3,4,8,7,5,6] => 0000110 => 1
[1,2,8,5,3,4,6,7] => 0011000 => 1
[1,8,4,2,3,5,6,7] => 0110000 => 1
[8,6,7,4,1,5,3,2] => 1011011 => 2
[4,8,6,7,5,1,3,2] => 0101101 => 2
[7,1,8,4,6,5,2,3] => 1010110 => 3
[8,7,1,5,4,6,2,3] => 1101010 => 3
[8,5,7,1,4,6,3,2] => 1010011 => 2
[6,4,8,5,1,7,3,2] => 1011011 => 2
[4,8,5,7,1,6,3,2] => 0101011 => 2
[8,4,7,1,5,6,3,2] => 1010011 => 2
[8,7,1,4,5,6,3,2] => 1100011 => 1
[8,7,4,5,6,1,3,2] => 1100101 => 2
[8,7,5,1,4,6,2,3] => 1110010 => 2
[8,7,2,5,1,4,6,3] => 1101001 => 2
[4,8,7,2,5,1,6,3] => 0110101 => 2
[1,6,4,8,5,2,7,3] => 0101101 => 2
[8,7,1,4,2,5,6,3] => 1101001 => 2
[8,7,5,1,2,4,6,3] => 1110001 => 1
[7,1,8,5,6,2,3,4] => 1010100 => 3
[3,8,7,1,2,5,6,4] => 0110001 => 1
[3,5,8,7,1,2,6,4] => 0011001 => 1
[2,3,8,5,7,1,6,4] => 0010101 => 2
[3,8,7,1,5,6,2,4] => 0110010 => 2
[3,5,8,7,1,6,2,4] => 0011010 => 2
[2,3,8,6,7,5,1,4] => 0010110 => 2
[3,2,8,6,7,5,1,4] => 1010110 => 3
[4,1,8,6,2,7,5,3] => 1011011 => 2
[8,7,4,1,2,6,5,3] => 1110011 => 1
[1,3,8,6,7,5,2,4] => 0010110 => 2
[5,7,1,8,2,6,3,4] => 0101010 => 3
[2,8,7,1,5,6,3,4] => 0110010 => 2
[8,7,1,5,2,4,6,3] => 1101001 => 2
[7,1,8,2,4,6,5,3] => 1010011 => 2
[1,6,2,8,4,7,5,3] => 0101011 => 2
[1,3,8,5,7,2,6,4] => 0010101 => 2
[1,8,3,7,2,5,6,4] => 0101001 => 2
[2,8,7,1,3,5,6,4] => 0110001 => 1
[5,7,1,8,2,3,6,4] => 0101001 => 2
[7,1,8,2,3,5,6,4] => 1010001 => 2
[8,6,3,7,4,1,5,2] => 1101101 => 2
[4,2,8,6,7,5,1,3] => 1010110 => 3
[8,4,2,7,5,6,1,3] => 1101010 => 3
[4,8,3,6,1,7,5,2] => 0101011 => 2
[8,3,4,7,5,1,6,2] => 1001101 => 2
[8,3,7,4,5,1,6,2] => 1010101 => 3
[8,7,4,2,5,6,1,3] => 1110010 => 2
[8,7,5,1,6,2,3,4] => 1110100 => 2
[8,7,2,4,1,5,6,3] => 1101001 => 2
[4,8,6,1,7,2,5,3] => 0110101 => 2
[4,7,1,8,2,6,5,3] => 0101011 => 2
[4,2,8,6,7,1,5,3] => 1010101 => 3
[8,7,4,1,2,5,6,3] => 1110001 => 1
[8,2,7,1,6,3,4,5] => 1010100 => 3
[8,2,7,1,3,6,4,5] => 1010010 => 3
[2,8,3,6,7,1,5,4] => 0100101 => 2
[8,7,2,1,3,5,6,4] => 1110001 => 1
[1,8,7,2,3,6,4,5] => 0110010 => 2
[1,8,7,2,6,3,4,5] => 0110100 => 2
[8,2,7,3,6,1,4,5] => 1010100 => 3
[1,8,7,3,6,2,4,5] => 0110100 => 2
[1,8,2,7,6,3,4,5] => 0101100 => 2
[8,2,7,4,1,5,6,3] => 1011001 => 2
[8,2,1,7,5,6,3,4] => 1101010 => 3
[8,7,3,1,5,6,2,4] => 1110010 => 2
[2,8,7,3,5,6,1,4] => 0110010 => 2
[8,3,1,6,7,5,2,4] => 1100110 => 2
[8,5,2,1,6,7,4,3] => 1110011 => 1
[1,5,2,8,6,7,4,3] => 0101011 => 2
[1,2,8,6,7,5,3,4] => 0010110 => 2
[1,8,3,6,7,5,2,4] => 0100110 => 2
[8,2,3,6,7,5,1,4] => 1000110 => 2
[8,3,7,2,5,6,1,4] => 1010010 => 3
[8,1,3,7,5,6,2,4] => 1001010 => 3
[8,4,1,2,7,5,6,3] => 1100101 => 2
[8,1,4,2,6,7,5,3] => 1010011 => 2
[1,2,8,6,7,3,5,4] => 0010101 => 2
[8,1,2,7,3,6,4,5] => 1001010 => 3
[8,1,7,3,6,2,4,5] => 1010100 => 3
[8,1,7,2,6,3,4,5] => 1010100 => 3
[8,1,7,2,3,6,4,5] => 1010010 => 3
[8,1,3,7,2,5,6,4] => 1001001 => 2
[1,8,3,6,7,2,5,4] => 0100101 => 2
[1,7,8,2,3,6,5,4] => 0010011 => 1
[8,3,7,1,2,5,6,4] => 1010001 => 2
[8,7,1,2,3,6,4,5] => 1100010 => 2
[2,8,5,7,4,6,3,1] => 0101011 => 2
[3,1,8,5,7,4,2,6] => 1010110 => 3
[8,3,5,7,4,2,6,1] => 1001101 => 2
[8,3,6,2,4,5,7,1] => 1010001 => 2
[2,8,6,4,3,5,7,1] => 0111001 => 1
[2,6,8,3,5,4,7,1] => 0010101 => 2
[2,7,5,8,4,6,3,1] => 0101011 => 2
[8,4,2,7,6,1,3,5] => 1101100 => 2
[4,8,1,7,6,3,2,5] => 0101110 => 2
[4,1,7,6,2,3,5,8] => 1011000 => 2
[3,7,1,8,6,2,5,4] => 0101101 => 2
[3,1,7,6,4,5,2,8] => 1011010 => 3
[3,1,7,5,8,4,2,6] => 1010110 => 3
[3,1,6,8,7,5,2,4] => 1001110 => 2
[6,3,8,7,5,2,4,1] => 1011101 => 2
[7,3,5,8,4,2,6,1] => 1001101 => 2
[7,3,6,4,2,8,5,1] => 1011011 => 2
[7,8,3,6,2,5,4,1] => 0101011 => 2
[7,4,8,2,1,6,3,5] => 1011010 => 3
[8,7,4,6,3,2,5,1] => 1101101 => 2
[7,8,5,2,1,4,3,6] => 0111010 => 2
[7,5,2,3,1,4,8,6] => 1101001 => 2
[7,4,6,2,3,8,1,5] => 1010010 => 3
[6,4,2,5,8,3,7,1] => 1100101 => 2
[4,6,5,8,1,3,2,7] => 0101010 => 3
[4,7,1,5,3,8,2,6] => 0101010 => 3
[4,7,8,1,3,6,2,5] => 0010010 => 2
[5,7,1,3,4,6,2,8] => 0100010 => 2
[5,7,1,4,2,3,6,8] => 0101000 => 2
[5,8,1,3,2,4,6,7] => 0101000 => 2
[4,8,6,1,3,2,7,5] => 0110101 => 2
[8,4,6,2,1,3,7,5] => 1011001 => 2
[5,4,8,7,2,3,6,1] => 1011001 => 2
[5,4,8,7,3,1,2,6] => 1011100 => 2
[6,8,3,7,2,5,4,1] => 0101011 => 2
[5,4,6,8,2,3,7,1] => 1001001 => 2
[5,7,4,2,8,3,6,1] => 0110101 => 2
[6,4,7,2,1,8,3,5] => 1011010 => 3
[6,5,3,4,1,2,8,7] => 1101001 => 2
[6,8,5,4,1,3,2,7] => 0111010 => 2
[6,4,3,7,1,5,2,8] => 1101010 => 3
[9,8,7,6,5,2,3,1,4] => 11111010 => 2
[9,8,7,6,3,4,2,1,5] => 11110110 => 2
[9,8,7,4,5,3,2,1,6] => 11101110 => 2
[9,8,5,6,4,3,2,1,7] => 11011110 => 2
[9,6,7,5,4,3,2,1,8] => 10111110 => 2
[7,4,2,6,1,5,3,8] => 1101010 => 3
[7,4,2,5,6,1,3,8] => 1100100 => 2
[6,4,2,8,1,5,7,3] => 1101001 => 2
[6,3,7,8,2,5,1,4] => 1001010 => 3
[7,3,5,6,4,2,1,8] => 1001110 => 2
[7,4,3,1,5,6,2,8] => 1110010 => 2
[7,4,5,2,6,1,3,8] => 1010100 => 3
[5,3,7,2,8,6,4,1] => 1010111 => 2
[5,3,8,2,6,7,4,1] => 1010011 => 2
[6,3,8,2,5,4,7,1] => 1010101 => 3
[6,4,8,2,1,5,7,3] => 1011001 => 2
[6,4,3,1,8,2,7,5] => 1110101 => 2
[5,3,7,8,2,6,4,1] => 1001011 => 2
[4,7,8,5,6,3,2,1] => 0010111 => 1
[5,3,7,6,8,2,4,1] => 1010101 => 3
[5,7,8,4,6,2,1,3] => 0010110 => 2
[5,8,4,3,6,7,1,2] => 0110010 => 2
[5,8,6,4,7,2,1,3] => 0110110 => 2
[5,3,8,6,2,7,4,1] => 1011011 => 2
[4,7,5,8,6,3,2,1] => 0101111 => 1
[4,8,6,7,5,3,2,1] => 0101111 => 1
[6,3,8,7,2,4,1,5] => 1011010 => 3
[5,3,8,7,2,6,4,1] => 1011011 => 2
[5,3,8,6,7,2,4,1] => 1010101 => 3
[5,3,7,8,6,2,4,1] => 1001101 => 2
[5,7,6,4,8,2,1,3] => 0110110 => 2
[5,8,4,6,7,2,1,3] => 0100110 => 2
[6,4,2,8,1,7,3,5] => 1101010 => 3
[6,5,2,4,3,7,8,1] => 1101001 => 2
[5,4,6,2,8,7,1,3] => 1010110 => 3
[5,6,3,8,7,2,4,1] => 0101101 => 2
[6,7,4,3,1,8,2,5] => 0111010 => 2
[5,7,4,3,6,8,1,2] => 0110010 => 2
[5,7,3,8,6,2,4,1] => 0101101 => 2
[4,5,8,6,7,3,2,1] => 0010111 => 1
[4,6,8,5,7,3,2,1] => 0010111 => 1
[5,6,8,3,7,2,4,1] => 0010101 => 2
[5,4,6,8,2,7,1,3] => 1001010 => 3
[5,7,8,2,6,4,1,3] => 0010110 => 2
[1,7,4,8,6,2,3,5] => 0101100 => 2
[3,6,2,5,7,8,1,4] => 0100010 => 2
[5,2,7,4,6,8,1,3] => 1010010 => 3
[5,3,6,7,1,8,4,2] => 1001011 => 2
[4,2,5,6,7,1,8,3] => 1000101 => 2
[8,1,3,6,7,2,4,5] => 1000100 => 2
[8,1,4,2,5,6,3,7] => 1010010 => 3
[8,1,4,2,7,5,3,6] => 1010110 => 3
[6,1,3,8,2,7,4,5] => 1001010 => 3
[7,3,4,1,5,8,6,2] => 1010011 => 2
[1,7,5,2,8,6,3,4] => 0110110 => 2
[3,7,4,1,8,5,6,2] => 0110101 => 2
[5,6,3,1,7,8,4,2] => 0110011 => 1
[3,6,4,8,1,5,7,2] => 0101001 => 2
[1,5,8,4,2,6,3,7] => 0011010 => 2
[3,5,7,4,1,6,8,2] => 0011001 => 1
[3,5,7,1,2,6,4,8] => 0010010 => 2
[4,5,1,8,2,3,7,6] => 0101001 => 2
[4,7,1,8,2,6,3,5] => 0101010 => 3
[7,5,1,2,3,8,6,4] => 1100011 => 1
[6,4,1,2,7,3,8,5] => 1100101 => 2
[5,2,6,1,3,4,8,7] => 1010001 => 2
[7,8,4,5,1,3,2,6] => 0101010 => 3
[6,7,1,3,2,5,4,8] => 0101010 => 3
[6,7,1,4,3,5,2,8] => 0101010 => 3
[7,8,2,3,1,5,4,6] => 0101010 => 3
[7,8,2,4,3,5,1,6] => 0101010 => 3
[7,8,2,4,1,5,3,6] => 0101010 => 3
[1,4,2,6,5,7,3,8] => 0101010 => 3
[5,6,1,4,2,7,3,8] => 0101010 => 3
[6,7,2,4,1,5,3,8] => 0101010 => 3
[6,7,2,4,3,5,1,8] => 0101010 => 3
[6,7,2,3,1,5,4,8] => 0101010 => 3
[6,7,3,5,4,8,1,2] => 0101010 => 3
[2,4,1,6,5,7,3,8] => 0101010 => 3
[1,5,2,6,4,7,3,8] => 0101010 => 3
[2,5,1,6,4,7,3,8] => 0101010 => 3
[3,6,5,7,4,8,1,2] => 0101010 => 3
[5,6,2,4,3,7,1,8] => 0101010 => 3
[4,5,2,6,1,7,3,8] => 0101010 => 3
[4,5,1,6,3,7,2,8] => 0101010 => 3
[4,5,3,6,1,7,2,8] => 0101010 => 3
[5,6,3,4,1,7,2,8] => 0101010 => 3
[5,6,1,4,3,7,2,8] => 0101010 => 3
[5,6,1,3,2,7,4,8] => 0101010 => 3
[5,6,4,7,1,3,2,8] => 0101010 => 3
[6,7,4,5,1,3,2,8] => 0101010 => 3
[6,7,5,8,1,3,2,4] => 0101010 => 3
[4,5,1,3,2,7,6,8] => 0101010 => 3
[4,6,5,7,1,3,2,8] => 0101010 => 3
[4,6,1,3,2,7,5,8] => 0101010 => 3
[1,4,3,6,2,7,5,8] => 0101010 => 3
[3,4,1,6,5,7,2,8] => 0101010 => 3
[4,5,2,3,1,7,6,8] => 0101010 => 3
[4,5,3,7,6,8,1,2] => 0101010 => 3
[4,6,5,7,3,8,1,2] => 0101010 => 3
[4,6,5,7,2,3,1,8] => 0101010 => 3
[3,5,4,6,1,7,2,8] => 0101010 => 3
[3,5,1,6,4,7,2,8] => 0101010 => 3
[1,5,3,6,4,7,2,8] => 0101010 => 3
[1,5,3,6,2,7,4,8] => 0101010 => 3
[3,5,2,6,1,7,4,8] => 0101010 => 3
[3,5,2,6,4,7,1,8] => 0101010 => 3
[3,4,2,6,1,7,5,8] => 0101010 => 3
[4,6,2,3,1,7,5,8] => 0101010 => 3
[2,4,3,6,1,7,5,8] => 0101010 => 3
[2,5,3,6,4,7,1,8] => 0101010 => 3
[2,5,3,6,1,7,4,8] => 0101010 => 3
[3,6,2,7,5,4,8,1] => 0101101 => 2
[4,6,1,7,3,8,2,5] => 0101010 => 3
[5,2,6,7,4,3,8,1] => 1001101 => 2
[3,5,2,7,6,4,8,1] => 0101101 => 2
[1,5,7,2,8,3,6,4] => 0010101 => 2
[2,5,7,3,1,8,4,6] => 0011010 => 2
[1,3,7,2,8,5,6,4] => 0010101 => 2
[2,1,5,6,8,4,3,7] => 1000110 => 2
[1,3,7,2,8,5,4,6] => 0010110 => 2
[4,6,2,7,1,8,3,5] => 0101010 => 3
[1,5,4,3,6,8,2,7] => 0110010 => 2
[1,6,4,5,7,8,3,2] => 0100011 => 1
[2,1,5,6,8,4,7,3] => 1000101 => 2
[2,1,5,6,8,7,3,4] => 1000110 => 2
[3,6,5,2,7,8,4,1] => 0110011 => 1
[6,2,4,7,5,8,3,1] => 1001011 => 2
[1,5,7,8,4,2,6,3] => 0001101 => 1
[3,7,4,1,8,6,2,5] => 0110110 => 2
[3,4,6,8,5,7,2,1] => 0001011 => 1
[4,2,5,7,3,1,8,6] => 1001101 => 2
[4,5,6,2,8,7,3,1] => 0010111 => 1
[2,5,6,8,1,7,4,3] => 0001011 => 1
[4,5,6,1,8,7,3,2] => 0010111 => 1
[4,5,6,3,1,8,7,2] => 0011011 => 1
[4,3,6,2,1,7,5,8] => 1011010 => 3
[4,6,3,2,1,7,5,8] => 0111010 => 2
[4,6,3,1,7,5,2,8] => 0110110 => 2
[4,5,3,7,6,1,8,2] => 0101101 => 2
[4,5,1,7,3,8,6,2] => 0101011 => 2
[2,5,7,1,4,3,8,6] => 0010101 => 2
[4,3,5,7,6,1,8,2] => 1001101 => 2
[4,3,6,1,7,5,2,8] => 1010110 => 3
[4,3,2,6,1,7,5,8] => 1101010 => 3
[5,3,2,1,6,4,7,8] => 1110100 => 2
[5,3,1,6,2,7,4,8] => 1101010 => 3
[5,1,6,3,2,7,4,8] => 1011010 => 3
[2,6,1,4,7,5,3,8] => 0100110 => 2
[3,6,1,7,4,2,5,8] => 0101100 => 2
[4,6,1,7,5,3,2,8] => 0101110 => 2
[5,1,6,3,7,4,2,8] => 1010110 => 3
[5,3,6,4,2,1,7,8] => 1011100 => 2
[5,3,2,6,4,1,7,8] => 1101100 => 2
[5,2,1,6,3,7,4,8] => 1101010 => 3
[5,2,6,3,1,7,4,8] => 1011010 => 3
[4,2,6,3,1,7,8,5] => 1011001 => 2
[3,6,2,1,7,4,5,8] => 0110100 => 2
[3,6,2,7,4,1,5,8] => 0101100 => 2
[3,5,7,2,8,6,4,1] => 0010111 => 1
[2,4,7,1,3,6,5,8] => 0010010 => 2
[2,6,1,3,7,5,4,8] => 0100110 => 2
[3,6,1,7,5,2,4,8] => 0101100 => 2
[5,1,6,2,7,4,3,8] => 1010110 => 3
[5,2,6,4,3,1,7,8] => 1011100 => 2
[5,2,1,6,4,3,7,8] => 1101100 => 2
[5,4,2,1,6,3,7,8] => 1110100 => 2
[5,4,2,6,3,1,7,8] => 1101100 => 2
[5,4,1,6,2,7,3,8] => 1101010 => 3
[5,1,6,4,2,7,3,8] => 1011010 => 3
[3,6,1,7,5,4,8,2] => 0101101 => 2
[2,6,1,5,4,3,7,8] => 0101100 => 2
[3,1,6,2,5,4,7,8] => 1010100 => 3
[5,1,6,4,3,2,7,8] => 1011100 => 2
[5,4,1,6,3,2,7,8] => 1101100 => 2
[5,4,3,1,6,2,7,8] => 1110100 => 2
[8,2,1,7,6,5,4,3,9] => 11011110 => 2
[7,3,1,6,5,4,8,2] => 1101101 => 2
[7,2,8,1,5,4,3,6] => 1010110 => 3
[4,2,7,6,5,8,1,3] => 1011010 => 3
[3,8,2,6,5,4,1,7] => 0101110 => 2
[3,2,8,7,6,5,4,1,9] => 10111110 => 2
[9,2,1,8,7,6,5,4,3,10] => 110111110 => 2
[8,3,1,7,6,5,4,9,2] => 11011101 => 2
[8,2,9,1,6,5,4,3,7] => 10101110 => 3
[7,3,2,1,5,4,6,8] => 1110100 => 2
[7,2,8,6,1,4,3,5] => 1011010 => 3
[5,2,7,6,8,4,1,3] => 1010110 => 3
[4,2,8,7,6,5,9,1,3] => 10111010 => 3
[3,8,7,2,5,4,1,6] => 0110110 => 2
[3,9,2,7,6,5,4,1,8] => 01011110 => 2
[3,2,9,8,7,6,5,4,1,10] => 101111110 => 2
[10,2,1,9,8,7,6,5,4,3,11] => 1101111110 => 2
[9,3,1,8,7,6,5,4,10,2] => 110111101 => 2
[9,2,10,1,7,6,5,4,3,8] => 101011110 => 3
[8,4,1,7,6,5,9,3,2] => 11011011 => 2
[8,3,2,1,6,5,4,7,9] => 11101100 => 2
[8,2,9,7,1,5,4,3,6] => 10110110 => 3
[7,5,1,6,8,4,3,2] => 1100111 => 1
[7,4,2,1,5,6,3,8] => 1110010 => 2
[7,2,8,6,5,1,3,4] => 1011100 => 2
[5,3,2,6,7,4,1,8] => 1100110 => 2
[5,2,8,7,6,9,4,1,3] => 10110110 => 3
[4,3,7,2,5,6,1,8] => 1010010 => 3
[4,3,2,7,6,5,8,1,9] => 11011010 => 3
[4,2,9,8,7,6,5,10,1,3] => 101111010 => 3
[3,9,8,2,6,5,4,1,7] => 01101110 => 2
[3,10,2,8,7,6,5,4,1,9] => 010111110 => 2
[3,2,10,9,8,7,6,5,4,1,11] => 1011111110 => 2
[6,7,1,4,3,2,5,8] => 0101100 => 2
[3,4,2,6,7,1,5,8] => 0100100 => 2
[3,7,1,6,5,2,4,8] => 0101100 => 2
[3,5,6,2,4,7,1,8] => 0010010 => 2
[3,5,8,7,2,4,6,1] => 0011001 => 1
[1,7,8,2,5,4,3,6] => 0010110 => 2
[8,7,2,5,4,3,6,1] => 1101101 => 2
[2,5,6,4,7,1,3,8] => 0010100 => 2
[4,7,1,6,3,5,2,8] => 0101010 => 3
[4,5,3,8,7,2,6,1] => 0101101 => 2
[1,4,5,3,7,8,2,6] => 0010010 => 2
[1,4,8,2,7,6,3,5] => 0010110 => 2
[4,7,3,5,1,8,6,2] => 0101011 => 2
[8,7,3,6,1,5,4,2] => 1101011 => 2
[2,5,8,7,4,6,1,3] => 0011010 => 2
[5,4,2,1,7,8,3,6] => 1110010 => 2
[4,7,8,3,5,2,1,6] => 0010110 => 2
[4,7,6,2,1,8,3,5] => 0111010 => 2
[1,4,6,7,3,5,8,2] => 0001001 => 1
[8,3,6,2,1,7,5,4] => 1011011 => 2
[8,3,7,6,4,2,1,5] => 1011110 => 2
[2,3,1,8,4,7,6,5] => 0101011 => 2
[2,7,4,8,6,5,1,3] => 0101110 => 2
[8,6,5,1,4,7,3,2] => 1110011 => 1
[8,5,4,1,7,3,6,2] => 1110101 => 2
[6,3,7,2,8,5,4,1] => 1010111 => 2
[1,6,3,8,2,7,5,4] => 0101011 => 2
[1,7,5,3,8,2,6,4] => 0110101 => 2
[6,2,7,4,1,8,5,3] => 1011011 => 2
[8,6,3,2,7,5,1,4] => 1110110 => 2
[2,7,5,1,3,8,6,4] => 0110011 => 1
[1,7,6,4,3,8,2,5] => 0111010 => 2
[3,7,2,4,8,6,5,1] => 0100111 => 1
[3,4,2,8,7,6,1,5] => 0101110 => 2
[5,1,4,3,2,7,8,6] => 1011001 => 2
[3,7,8,5,2,4,1,6] => 0011010 => 2
[3,7,6,2,4,1,8,5] => 0110101 => 2
[1,6,8,2,5,7,4,3] => 0010011 => 1
[6,7,2,5,8,4,3,1] => 0100111 => 1
[5,2,7,8,4,3,1,6] => 1001110 => 2
[5,3,1,7,8,4,2,6] => 1100110 => 2
[2,7,6,4,1,3,8,5] => 0111001 => 1
[4,1,7,6,3,2,8,5] => 1011101 => 2
[8,4,2,7,6,3,1,5] => 1101110 => 2
[6,3,1,7,5,2,8,4] => 1101101 => 2
[6,2,7,5,3,1,8,4] => 1011101 => 2
[1,5,8,2,7,4,6,3] => 0010101 => 2
[5,7,2,8,4,6,3,1] => 0101011 => 2
[5,7,3,1,8,4,6,2] => 0110101 => 2
[8,4,7,3,1,6,5,2] => 1011011 => 2
[2,6,8,5,7,4,1,3] => 0010110 => 2
[6,5,2,1,7,4,8,3] => 1110101 => 2
[5,7,4,6,2,1,8,3] => 0101101 => 2
[5,6,4,8,3,7,2,1] => 0101011 => 2
[6,7,1,8,3,4,2,5] => 0101010 => 3
[7,8,3,5,1,4,2,6] => 0101010 => 3
[5,6,2,7,1,8,3,4] => 0101010 => 3
[6,7,2,4,3,8,1,5] => 0101010 => 3
[2,4,3,8,6,7,1,5] => 0101010 => 3
[1,8,2,7,4,5,3,6] => 0101010 => 3
[2,5,4,8,3,6,1,7] => 0101010 => 3
[2,3,1,8,5,6,4,7] => 0101010 => 3
[3,8,5,6,4,7,1,2] => 0101010 => 3
[5,7,3,6,4,8,1,2] => 0101010 => 3
[5,7,2,3,1,6,4,8] => 0101010 => 3
[5,7,2,4,3,6,1,8] => 0101010 => 3
[4,6,2,7,1,5,3,8] => 0101010 => 3
[4,7,1,6,2,5,3,8] => 0101010 => 3
[4,7,1,5,3,6,2,8] => 0101010 => 3
[4,6,3,5,1,7,2,8] => 0101010 => 3
[6,7,3,5,1,4,2,8] => 0101010 => 3
[5,6,3,7,1,4,2,8] => 0101010 => 3
[5,7,1,6,3,4,2,8] => 0101010 => 3
[1,8,5,6,3,4,2,7] => 0101010 => 3
[1,8,5,6,4,7,2,3] => 0101010 => 3
[5,7,1,6,4,8,2,3] => 0101010 => 3
[4,6,5,8,1,7,2,3] => 0101010 => 3
[3,7,1,4,2,8,5,6] => 0101010 => 3
[3,5,1,4,2,8,6,7] => 0101010 => 3
[4,6,5,8,3,7,1,2] => 0101010 => 3
[4,6,5,8,2,3,1,7] => 0101010 => 3
[3,4,2,6,5,8,1,7] => 0101010 => 3
[3,5,4,6,2,8,1,7] => 0101010 => 3
[1,8,3,5,4,7,2,6] => 0101010 => 3
[3,4,2,7,1,8,5,6] => 0101010 => 3
[4,7,2,3,1,8,5,6] => 0101010 => 3
[2,4,3,8,1,7,5,6] => 0101010 => 3
[2,5,3,8,4,7,1,6] => 0101010 => 3
[2,6,3,8,1,7,4,5] => 0101010 => 3
[2,7,1,8,3,6,4,5] => 0101010 => 3
[1,2,8,7,4,6,3,5] => 0011010 => 2
[4,5,1,8,7,6,2,3] => 0101110 => 2
[4,1,5,8,7,6,2,3] => 1001110 => 2
[4,5,7,8,2,6,3,1] => 0001011 => 1
[5,2,6,8,3,7,4,1] => 1001011 => 2
[3,1,6,8,7,4,5,2] => 1001101 => 2
[6,1,4,8,7,2,5,3] => 1001101 => 2
[6,1,8,4,7,3,5,2] => 1010101 => 3
[4,6,7,8,2,5,3,1] => 0001011 => 1
[7,4,5,2,8,6,3,1] => 1010111 => 2
[7,5,8,4,2,6,3,1] => 1011011 => 2
[6,8,4,5,2,7,3,1] => 0101011 => 2
[6,8,2,5,3,7,4,1] => 0101011 => 2
[6,3,8,4,2,7,5,1] => 1011011 => 2
[7,2,5,3,8,6,4,1] => 1010111 => 2
[3,4,7,5,8,6,2,1] => 0010111 => 1
[3,6,7,4,8,5,2,1] => 0010111 => 1
[6,7,4,2,8,5,3,1] => 0110111 => 1
[4,7,5,2,8,6,3,1] => 0110111 => 1
[2,7,5,3,8,6,4,1] => 0110111 => 1
[5,6,2,8,3,7,4,1] => 0101011 => 2
[1,5,8,2,7,3,6,4] => 0010101 => 2
[5,8,4,7,2,3,6,1] => 0101001 => 2
[6,7,4,8,1,5,3,2] => 0101011 => 2
[1,7,4,8,6,2,5,3] => 0101101 => 2
[6,8,5,3,7,2,4,1] => 0110101 => 2
[6,8,5,2,3,7,4,1] => 0110011 => 1
[7,5,3,8,2,6,4,1] => 1101011 => 2
[7,5,2,3,8,6,4,1] => 1100111 => 1
[3,7,4,5,8,6,2,1] => 0100111 => 1
[6,7,3,4,8,5,2,1] => 0100111 => 1
[3,6,4,7,8,5,2,1] => 0100111 => 1
[6,4,2,7,8,5,3,1] => 1100111 => 1
[7,4,2,5,8,6,3,1] => 1100111 => 1
[6,8,4,2,5,7,3,1] => 0110011 => 1
[7,5,8,3,4,6,2,1] => 1010011 => 2
[7,4,5,8,1,6,3,2] => 1001011 => 2
[6,3,4,7,8,5,2,1] => 1000111 => 1
[7,8,2,3,4,5,6,9,1] => 01000001 => 1
[6,1,7,3,4,5,8,2] => 1010001 => 2
[5,7,2,3,4,1,8,6] => 0100101 => 2
[2,7,1,8,4,5,6,3] => 0101001 => 2
[2,6,8,3,4,5,1,7] => 0010010 => 2
[2,8,9,3,4,5,6,7,1] => 00100001 => 1
[8,9,2,3,4,5,6,7,10,1] => 010000001 => 1
[7,1,8,3,4,5,6,9,2] => 10100001 => 2
[6,8,2,3,4,5,1,9,7] => 01000101 => 2
[6,1,2,7,4,5,8,3] => 1001001 => 2
[4,7,2,3,1,5,8,6] => 0101001 => 2
[2,7,1,3,8,5,6,4] => 0100101 => 2
[2,6,7,8,4,5,3,1] => 0001011 => 1
[2,8,1,9,4,5,6,7,3] => 01010001 => 2
[2,5,8,3,4,1,6,7] => 0010100 => 2
[2,7,9,3,4,5,6,1,8] => 00100010 => 2
[2,9,10,3,4,5,6,7,8,1] => 001000001 => 1
[9,10,2,3,4,5,6,7,8,11,1] => 0100000001 => 1
[8,1,9,3,4,5,6,7,10,2] => 101000001 => 2
[7,9,2,3,4,5,6,1,10,8] => 010000101 => 2
[7,1,2,8,4,5,6,9,3] => 10010001 => 2
[6,7,8,3,4,5,2,9,1] => 00100101 => 2
[5,8,2,3,4,1,6,9,7] => 01001001 => 2
[5,6,2,7,4,3,8,1] => 0101101 => 2
[4,6,7,3,2,5,8,1] => 0011001 => 1
[2,6,7,3,8,5,4,1] => 0010111 => 1
[2,8,1,3,9,5,6,7,4] => 01001001 => 2
[2,6,1,8,4,5,3,7] => 0101010 => 3
[2,5,7,8,4,3,6,1] => 0001101 => 1
[2,7,8,9,4,5,6,3,1] => 00010011 => 1
[2,9,1,10,4,5,6,7,8,3] => 010100001 => 2
[2,6,9,3,4,5,1,7,8] => 00100100 => 2
[2,8,10,3,4,5,6,7,1,9] => 001000010 => 2
[2,10,11,3,4,5,6,7,8,9,1] => 0010000001 => 1
[2,12,1,3,4,5,6,7,8,9,10,11] => 01000000000 => 1
[3,6,8,4,5,7,1,2] => 0010010 => 2
[1,6,8,4,7,2,3,5] => 0010100 => 2
[1,4,5,7,8,2,6,3] => 0000101 => 1
[3,4,5,7,8,6,1,2] => 0000110 => 1
[3,4,5,7,6,8,1,2] => 0001010 => 2
[3,6,7,4,8,5,1,2] => 0010110 => 2
[3,4,5,6,8,7,1,2] => 0000110 => 1
[1,4,5,8,7,2,3,6] => 0001100 => 1
[1,2,5,8,3,6,4,7] => 0001010 => 2
[1,4,5,8,6,2,3,7] => 0001100 => 1
[7,8,1,4,6,2,3,5] => 0100100 => 2
[1,6,7,4,8,2,5,3] => 0010101 => 2
[1,4,5,6,8,2,7,3] => 0000101 => 1
[1,4,5,8,6,2,7,3] => 0001101 => 1
[1,2,5,8,3,4,7,6] => 0001001 => 1
[1,6,7,2,3,5,8,4] => 0010001 => 1
[7,8,1,2,3,5,4,6] => 0100010 => 2
[1,6,7,2,3,5,4,8] => 0010010 => 2
[1,4,5,7,6,2,3,8] => 0001100 => 1
[1,2,5,7,3,6,4,8] => 0001010 => 2
[1,2,5,7,3,6,8,4] => 0001001 => 1
[1,6,8,2,3,5,7,4] => 0010001 => 1
[1,6,8,4,5,2,3,7] => 0010100 => 2
[1,6,8,4,5,2,7,3] => 0010101 => 2
[1,6,8,2,3,4,7,5] => 0010001 => 1
[1,6,8,2,3,7,4,5] => 0010010 => 2
[1,4,5,7,6,2,8,3] => 0001101 => 1
[7,8,1,4,5,2,6,3] => 0100101 => 2
[7,8,1,2,3,4,6,5] => 0100001 => 1
[7,8,1,2,3,6,4,5] => 0100010 => 2
[1,6,7,2,3,8,5,4] => 0010011 => 1
[1,2,5,6,3,8,7,4] => 0001011 => 1
[4,2,1,6,5,3,8,7] => 1101101 => 2
[8,2,4,3,1,6,5,7] => 1011010 => 3
[6,2,4,3,1,8,7,5] => 1011011 => 2
[4,2,6,3,5,1,8,7] => 1010101 => 3
[4,6,2,1,5,8,7,3] => 0110011 => 1
[4,6,5,2,1,8,7,3] => 0111011 => 1
[2,1,6,4,3,8,7,5] => 1011011 => 2
[4,8,2,1,6,7,3,5] => 0110010 => 2
[6,8,2,1,4,3,7,5] => 0110101 => 2
[8,6,2,4,3,1,5,7] => 1101100 => 2
[6,8,2,4,3,1,7,5] => 0101101 => 2
[6,8,7,2,4,3,1,5] => 0110110 => 2
[2,1,8,4,6,5,3,7] => 1010110 => 3
[2,1,6,4,8,5,7,3] => 1010101 => 3
[4,6,5,2,8,3,7,1] => 0110101 => 2
[2,6,4,5,8,3,7,1] => 0100101 => 2
[6,4,2,8,3,5,7,1] => 1101001 => 2
[8,4,2,6,3,5,1,7] => 1101010 => 3
[6,2,4,8,5,3,7,1] => 1001101 => 2
[4,2,6,3,5,8,7,1] => 1010011 => 2
[4,2,6,3,8,7,5,1] => 1010111 => 2
[6,2,4,3,8,5,7,1] => 1010101 => 3
[8,2,4,3,6,5,1,7] => 1010110 => 3
[8,2,1,4,6,5,3,7] => 1100110 => 2
[6,2,1,4,8,5,7,3] => 1100101 => 2
[6,2,1,8,7,4,3,5] => 1101110 => 2
[6,2,1,8,4,3,7,5] => 1101101 => 2
[8,4,6,5,2,1,3,7] => 1011100 => 2
[6,4,8,5,2,1,7,3] => 1011101 => 2
[6,4,8,5,7,2,1,3] => 1010110 => 3
[4,6,8,7,5,2,1,3] => 0011110 => 1
[2,1,4,8,6,7,3,5] => 1001010 => 3
[2,6,8,7,4,5,1,3] => 0011010 => 2
[2,4,8,6,7,5,1,3] => 0010110 => 2
[4,2,8,6,5,7,1,3] => 1011010 => 3
[8,2,6,4,5,1,3,7] => 1010100 => 3
[8,4,6,2,1,5,3,7] => 1011010 => 3
[4,6,8,7,2,1,5,3] => 0011101 => 1
[4,6,5,8,2,1,7,3] => 0101101 => 2
[2,1,6,8,4,3,7,5] => 1001101 => 2
[6,8,7,4,2,1,3,5] => 0111100 => 1
[2,8,6,4,7,1,3,5] => 0110100 => 2
[4,8,6,2,1,7,3,5] => 0111010 => 2
[2,8,5,3,1,4,6,7] => 0111000 => 1
[2,7,4,8,3,5,1,6] => 0101010 => 3
[2,7,4,8,3,5,6,1] => 0101001 => 2
[7,2,8,4,3,5,1,6] => 1011010 => 3
[8,4,2,1,5,3,6,7] => 1110100 => 2
[8,5,1,4,2,3,6,7] => 1101000 => 2
[8,4,1,5,3,2,6,7] => 1101100 => 2
[6,7,3,8,4,2,5,1] => 0101101 => 2
[6,7,3,8,4,2,1,5] => 0101110 => 2
[7,1,8,4,3,5,2,6] => 1011010 => 3
[1,7,8,4,3,5,2,6] => 0011010 => 2
[7,1,4,8,3,5,2,6] => 1001010 => 3
[7,4,8,1,5,6,2,3] => 1010010 => 3
[7,1,8,4,3,5,6,2] => 1011001 => 2
[6,7,3,1,8,4,5,2] => 0110101 => 2
[6,7,3,8,4,5,2,1] => 0101011 => 2
[6,7,1,4,8,3,5,2] => 0100101 => 2
[6,7,4,1,3,8,2,5] => 0110010 => 2
[1,6,7,8,4,3,2,5] => 0001110 => 1
[7,2,1,8,4,5,3,6] => 1101010 => 3
[6,2,7,1,8,4,3,5] => 1010110 => 3
[6,2,7,8,4,3,1,5] => 1001110 => 2
[6,2,7,8,4,3,5,1] => 1001101 => 2
[2,6,7,4,8,3,5,1] => 0010101 => 2
[2,6,7,4,8,3,1,5] => 0010110 => 2
[7,8,1,3,6,2,4,5] => 0100100 => 2
[1,2,7,8,6,3,4,5] => 0001100 => 1
[2,6,7,1,8,5,3,4] => 0010110 => 2
[2,6,7,8,5,3,1,4] => 0001110 => 1
[2,6,7,8,5,3,4,1] => 0001101 => 1
[6,2,7,8,4,5,3,1] => 1001011 => 2
[7,2,1,8,4,5,6,3] => 1101001 => 2
[1,7,2,8,4,5,6,3] => 0101001 => 2
[3,7,8,1,5,6,2,4] => 0010010 => 2
[6,3,7,8,1,5,2,4] => 1001010 => 3
[6,7,1,2,8,5,3,4] => 0100110 => 2
[1,6,7,8,4,2,5,3] => 0001101 => 1
[3,1,2,7,6,5,8,4] => 1001101 => 2
[6,1,2,4,7,3,8,5] => 1000101 => 2
[1,7,5,3,6,4,8,2] => 0110101 => 2
[5,1,2,6,7,4,8,3] => 1000101 => 2
[4,1,5,7,3,2,6,8] => 1001100 => 2
[4,6,1,7,3,2,5,8] => 0101100 => 2
[4,6,1,8,3,2,5,7] => 0101100 => 2
[4,7,1,8,3,5,2,6] => 0101010 => 3
[4,1,7,8,6,2,3,5] => 1001100 => 2
[1,6,5,7,8,3,4,2] => 0100101 => 2
[1,6,5,8,7,3,4,2] => 0101101 => 2
[4,1,8,7,6,2,3,5] => 1011100 => 2
[4,8,1,7,3,5,2,6] => 0101010 => 3
[4,8,1,6,3,2,5,7] => 0101100 => 2
[4,7,1,6,3,2,5,8] => 0101100 => 2
[6,1,2,3,7,5,4,8] => 1000110 => 2
[6,8,1,5,3,7,2,4] => 0101010 => 3
[8,7,5,2,4,1,6,3] => 1110101 => 2
[1,5,7,3,4,8,6,2] => 0010011 => 1
[1,5,8,3,4,7,6,2] => 0010011 => 1
[7,8,5,2,4,1,6,3] => 0110101 => 2
[7,1,2,3,5,6,4,8] => 1000010 => 2
[8,1,2,3,5,6,4,7] => 1000010 => 2
[8,1,2,3,5,4,7,6] => 1000101 => 2
[7,1,8,4,6,3,2,5] => 1010110 => 3
[6,8,2,4,3,1,5,7] => 0101100 => 2
[6,7,2,4,3,1,5,8] => 0101100 => 2
[3,8,1,2,4,5,7,6] => 0100001 => 1
[3,7,1,8,6,4,2,5] => 0101110 => 2
[1,6,4,3,7,5,8,2] => 0110101 => 2
[3,1,2,6,7,5,8,4] => 1000101 => 2
[3,8,1,7,6,4,2,5] => 0101110 => 2
[7,6,2,4,3,1,5,8] => 1101100 => 2
[8,7,2,4,3,5,1,6] => 1101010 => 3
[8,1,7,4,6,3,2,5] => 1010110 => 3
[8,1,7,6,5,3,2,4] => 1011110 => 2
[1,5,7,3,4,6,8,2] => 0010001 => 1
[8,7,2,5,3,6,1,4] => 1101010 => 3
[7,1,2,3,5,4,8,6] => 1000101 => 2
[6,1,2,3,5,8,4,7] => 1000010 => 2
[6,1,2,3,5,7,4,8] => 1000010 => 2
[5,1,2,3,7,6,4,8] => 1000110 => 2
[5,1,2,3,8,6,4,7] => 1000110 => 2
[1,5,6,3,4,7,8,2] => 0010001 => 1
[8,6,5,2,4,7,1,3] => 1110010 => 2
[7,6,2,5,3,1,8,4] => 1101101 => 2
[7,4,5,2,3,8,6,1] => 1010011 => 2
[8,2,3,7,4,5,1,6] => 1001010 => 3
[8,4,7,3,2,5,1,6] => 1011010 => 3
[5,4,6,3,1,2,8,7] => 1011001 => 2
[4,6,2,3,1,5,8,7] => 0101001 => 2
[7,2,3,4,5,8,6,1] => 1000011 => 1
[8,2,3,4,5,7,1,6] => 1000010 => 2
[7,3,4,6,8,5,1,2] => 1000110 => 2
[4,7,3,2,8,6,1,5] => 0110110 => 2
[3,7,4,5,1,8,6,2] => 0101011 => 2
[3,8,2,6,7,4,5,1] => 0100101 => 2
[4,8,1,5,6,7,3,2] => 0100011 => 1
[5,8,2,4,6,7,1,3] => 0100010 => 2
[6,8,1,3,4,2,7,5] => 0100101 => 2
[5,8,2,4,3,1,7,6] => 0101101 => 2
[2,1,7,6,8,5,3,4] => 1010110 => 3
[3,7,6,1,8,5,2,4] => 0110110 => 2
[4,7,2,3,8,5,1,6] => 0100110 => 2
[7,1,3,6,4,8,5,2] => 1001011 => 2
[7,6,1,4,8,5,2,3] => 1100110 => 2
[6,2,3,7,8,5,4,1] => 1000111 => 1
[6,2,3,8,4,5,1,7] => 1001010 => 3
[7,2,3,6,8,4,1,5] => 1000110 => 2
[8,2,3,5,7,1,4,6] => 1000100 => 2
[6,4,8,3,5,1,7,2] => 1010101 => 3
[5,4,8,3,6,7,1,2] => 1010010 => 3
[3,5,1,8,4,6,7,2] => 0101001 => 2
[3,6,1,8,4,5,2,7] => 0101010 => 3
[4,6,8,3,5,2,7,1] => 0010101 => 2
[5,7,8,3,2,4,1,6] => 0011010 => 2
[4,8,2,3,5,6,1,7] => 0100010 => 2
[6,8,2,3,1,4,5,7] => 0101000 => 2
[5,2,7,4,8,3,1,6] => 1010110 => 3
[3,7,8,2,1,4,6,5] => 0011001 => 1
[3,7,5,2,8,4,1,6] => 0110110 => 2
[6,3,2,4,1,8,7,5] => 1101011 => 2
[7,2,3,4,8,5,1,6] => 1000110 => 2
[5,7,3,1,4,2,6,8] => 0110100 => 2
[3,7,4,1,8,2,5,6] => 0110100 => 2
[6,3,7,4,8,1,2,5] => 1010100 => 3
[8,3,7,4,2,6,1,5] => 1011010 => 3
[3,7,4,1,5,6,2,8] => 0110010 => 2
[1,8,3,2,4,5,7,6] => 0110001 => 1
[8,4,1,6,3,7,5,2] => 1101011 => 2
[8,7,4,2,1,6,3,5] => 1111010 => 2
[8,3,5,2,7,4,1,6] => 1010110 => 3
[1,5,3,8,7,6,4,2] => 0101111 => 1
[7,2,4,8,1,3,6,5] => 1001001 => 2
[1,2,8,7,5,6,3,4] => 0011010 => 2
[3,1,8,6,7,5,2,4] => 1010110 => 3
[1,4,8,6,5,7,2,3] => 0011010 => 2
[1,6,5,4,8,2,3,7] => 0110100 => 2
[5,1,6,8,3,4,2,7] => 1001010 => 3
[6,2,5,1,7,4,3,8] => 1010110 => 3
[5,2,1,8,7,4,3,6] => 1101110 => 2
[5,2,6,3,8,1,4,7] => 1010100 => 3
[5,2,8,3,4,6,1,7] => 1010010 => 3
[6,2,8,4,3,1,7,5] => 1011101 => 2
[7,2,8,1,3,6,5,4] => 1010011 => 2
[7,3,8,1,4,6,2,5] => 1010010 => 3
[1,7,8,5,4,6,3,2] => 0011011 => 1
[1,5,8,4,6,3,7,2] => 0010101 => 2
[5,3,8,4,1,2,7,6] => 1011001 => 2
[5,8,4,3,6,2,1,7] => 0110110 => 2
[1,8,3,6,5,2,7,4] => 0101101 => 2
[1,8,2,4,7,6,5,3] => 0100111 => 1
[3,8,1,4,6,7,5,2] => 0100011 => 1
[3,8,2,5,1,7,6,4] => 0101011 => 2
[4,3,8,2,5,1,6,7] => 1010100 => 3
[8,2,4,3,5,1,7,6] => 1010101 => 3
[8,2,1,4,6,5,7,3] => 1100101 => 2
[8,1,3,4,5,7,6,2] => 1000011 => 1
[6,1,5,2,4,7,8,3] => 1010001 => 2
[4,1,8,5,2,7,6,3] => 1011011 => 2
[4,8,5,1,3,6,2,7] => 0110010 => 2
[3,6,1,5,7,2,8,4] => 0100101 => 2
[6,3,1,2,8,5,7,4] => 1100101 => 2
[4,1,8,2,3,7,5,6] => 1010010 => 3
[5,3,8,7,2,1,4,6] => 1011100 => 2
[6,7,3,5,1,4,8,2] => 0101001 => 2
[6,4,7,5,8,2,3,1] => 1010101 => 3
[5,7,8,4,2,6,3,1] => 0011011 => 1
[5,7,4,1,6,8,3,2] => 0110011 => 1
[5,8,4,6,1,7,3,2] => 0101011 => 2
[5,6,1,4,7,8,3,2] => 0100011 => 1
[5,6,3,7,4,8,2,1] => 0101011 => 2
[5,3,6,7,4,8,2,1] => 1001011 => 2
[5,3,2,8,6,7,4,1] => 1101011 => 2
[5,4,8,2,6,7,3,1] => 1010011 => 2
[5,4,8,6,2,7,3,1] => 1011011 => 2
[7,4,8,5,6,2,1,3] => 1010110 => 3
[5,6,3,8,4,7,2,1] => 0101011 => 2
[5,6,3,8,2,7,4,1] => 0101011 => 2
[4,3,7,2,8,6,5,1] => 1010111 => 2
[6,7,3,8,5,2,4,1] => 0101101 => 2
[6,2,7,5,1,4,8,3] => 1011001 => 2
[3,5,7,8,4,6,2,1] => 0001011 => 1
[5,3,7,8,4,6,2,1] => 1001011 => 2
[5,7,8,2,4,6,3,1] => 0010011 => 1
[2,5,8,4,3,7,6,1] => 0011011 => 1
[3,7,4,8,6,2,1,5] => 0101110 => 2
[3,6,4,8,7,2,5,1] => 0101101 => 2
[3,5,4,8,2,7,6,1] => 0101011 => 2
[4,5,7,3,8,6,2,1] => 0010111 => 1
[3,5,6,8,4,7,2,1] => 0001011 => 1
[6,3,1,8,7,5,4,2] => 1101111 => 1
[5,4,8,1,7,6,3,2] => 1010111 => 2
[5,8,4,1,7,6,3,2] => 0110111 => 1
[7,5,4,1,8,6,3,2] => 1110111 => 1
[8,5,4,1,7,6,3,2] => 1110111 => 1
[1,8,2,5,6,3,4,7] => 0100100 => 2
[7,2,8,4,5,1,3,6] => 1010100 => 3
[1,3,7,5,6,2,4,8] => 0010100 => 2
[1,6,7,4,3,5,2,8] => 0011010 => 2
[1,8,5,2,3,7,4,6] => 0110010 => 2
[1,8,2,5,3,6,7,4] => 0101001 => 2
[2,6,8,4,3,5,7,1] => 0011001 => 1
[7,5,8,3,2,1,6,4] => 1011101 => 2
[7,2,8,4,1,5,6,3] => 1011001 => 2
[7,5,8,1,2,6,3,4] => 1010010 => 3
[1,6,7,4,3,2,8,5] => 0011101 => 1
[1,5,2,6,4,7,8,3] => 0101001 => 2
[1,5,4,6,2,3,7,8] => 0101000 => 2
[6,2,5,7,1,4,8,3] => 1001001 => 2
[6,5,4,3,8,1,7,2] => 1110101 => 2
[7,3,6,8,5,2,4,1] => 1001101 => 2
[2,7,8,3,6,5,1,4] => 0010110 => 2
[2,7,8,5,4,6,3,1] => 0011011 => 1
[2,6,5,8,3,4,1,7] => 0101010 => 3
[2,6,5,7,3,4,1,8] => 0101010 => 3
[6,2,5,7,4,1,3,8] => 1001100 => 2
[6,2,5,8,4,1,3,7] => 1001100 => 2
[2,7,8,4,6,1,3,5] => 0010100 => 2
[6,1,2,8,3,7,4,5] => 1001010 => 3
[6,1,2,8,5,4,7,3] => 1001101 => 2
[6,2,5,7,8,1,3,4] => 1000100 => 2
[1,5,4,2,6,7,3,8] => 0110010 => 2
[2,6,5,7,3,8,1,4] => 0101010 => 3
[1,6,2,7,5,8,4,3] => 0101011 => 2
[1,3,2,7,8,5,6,4] => 0100101 => 2
[1,6,2,4,8,7,3,5] => 0100110 => 2
[6,5,2,1,8,7,3,4] => 1110110 => 2
[2,6,5,3,7,8,4,1] => 0110011 => 1
[6,2,5,3,8,4,7,1] => 1010101 => 3
[6,5,2,3,8,7,1,4] => 1100110 => 2
[5,4,1,2,3,8,6,7] => 1100010 => 2
[5,1,4,2,3,7,8,6] => 1010001 => 2
[1,5,4,2,6,3,8,7] => 0110101 => 2
[5,1,6,3,8,2,7,4] => 1010101 => 3
[9,8,7,6,5,4,3,1,2,10] => 111111100 => 1
[8,7,6,5,4,2,1,3,9] => 11111100 => 1
[1,9,8,7,6,5,3,2,4] => 01111110 => 1
[1,8,7,6,2,5,4,3] => 0111011 => 1
[1,9,8,7,6,5,2,4,3] => 01111101 => 1
[1,10,9,8,7,6,5,4,2,3] => 011111110 => 1
[2,1,9,8,7,6,5,4,3] => 10111111 => 1
[1,2,9,8,7,6,5,4,3] => 00111111 => 0
[3,2,1,9,8,7,6,5,4] => 11011111 => 1
[1,3,2,9,8,7,6,5,4] => 01011111 => 1
[1,2,3,9,8,7,6,5,4] => 00011111 => 0
[4,3,2,1,9,8,7,6,5] => 11101111 => 1
[1,4,3,2,9,8,7,6,5] => 01101111 => 1
[2,1,4,3,9,8,7,6,5] => 10101111 => 2
[1,2,4,3,9,8,7,6,5] => 00101111 => 1
[1,2,3,4,9,8,7,6,5] => 00001111 => 0
[1,5,4,3,2,9,8,7,6] => 01110111 => 1
[2,1,5,4,3,9,8,7,6] => 10110111 => 2
[1,2,5,4,3,9,8,7,6] => 00110111 => 1
[1,3,2,5,4,9,8,7,6] => 01010111 => 2
[1,2,3,5,4,9,8,7,6] => 00010111 => 1
[1,2,3,4,5,9,8,7,6] => 00000111 => 0
[1,3,2,6,5,4,9,8,7] => 01011011 => 2
[1,2,3,6,5,4,9,8,7] => 00011011 => 1
[2,1,4,3,6,5,9,8,7] => 10101011 => 3
[1,2,4,3,6,5,9,8,7] => 00101011 => 2
[1,2,3,4,6,5,9,8,7] => 00001011 => 1
[1,2,3,5,4,7,6,9,8] => 00010101 => 2
[1,2,3,4,5,7,6,9,8] => 00000101 => 1
[1,2,10,9,8,7,6,5,4,3] => 001111111 => 0
[3,2,1,10,9,8,7,6,5,4] => 110111111 => 1
[1,3,2,10,9,8,7,6,5,4] => 010111111 => 1
[1,2,3,10,9,8,7,6,5,4] => 000111111 => 0
[1,4,3,2,10,9,8,7,6,5] => 011011111 => 1
[1,2,4,3,10,9,8,7,6,5] => 001011111 => 1
[1,2,3,4,10,9,8,7,6,5] => 000011111 => 0
[1,5,4,3,2,10,9,8,7,6] => 011101111 => 1
[2,1,5,4,3,10,9,8,7,6] => 101101111 => 2
[1,2,5,4,3,10,9,8,7,6] => 001101111 => 1
[1,3,2,5,4,10,9,8,7,6] => 010101111 => 2
[1,2,3,5,4,10,9,8,7,6] => 000101111 => 1
[1,2,6,5,4,3,10,9,8,7] => 001110111 => 1
[3,2,1,6,5,4,10,9,8,7] => 110110111 => 2
[1,3,2,6,5,4,10,9,8,7] => 010110111 => 2
[1,2,3,6,5,4,10,9,8,7] => 000110111 => 1
[1,2,4,3,6,5,10,9,8,7] => 001010111 => 2
[1,2,3,4,6,5,10,9,8,7] => 000010111 => 1
[1,2,3,4,5,6,10,9,8,7] => 000000111 => 0
[1,4,3,2,7,6,5,10,9,8] => 011011011 => 2
[2,1,4,3,7,6,5,10,9,8] => 101011011 => 3
[1,2,4,3,7,6,5,10,9,8] => 001011011 => 2
[1,2,3,4,7,6,5,10,9,8] => 000011011 => 1
[1,3,2,5,4,7,6,10,9,8] => 010101011 => 3
[1,2,3,5,4,7,6,10,9,8] => 000101011 => 2
[1,2,3,4,5,7,6,10,9,8] => 000001011 => 1
[1,2,3,4,5,6,7,10,9,8] => 000000011 => 0
[1,2,4,3,6,5,8,7,10,9] => 001010101 => 3
[1,2,3,4,6,5,8,7,10,9] => 000010101 => 2
[1,2,3,4,5,6,8,7,10,9] => 000000101 => 1
[5,2,7,4,1,6,3,8] => 1011010 => 3
[4,7,3,1,5,6,2,8] => 0110010 => 2
[5,8,3,4,1,6,7,2] => 0101001 => 2
[1,7,8,4,5,6,2,3] => 0010010 => 2
[1,5,8,4,2,6,7,3] => 0011001 => 1
[1,6,3,8,5,2,7,4] => 0101101 => 2
[6,2,3,7,5,1,4,8] => 1001100 => 2
[1,7,3,4,8,6,2,5] => 0100110 => 2
[8,7,3,2,1,6,5,4] => 1111011 => 1
[8,7,6,3,1,5,2,4] => 1111010 => 2
[8,5,1,7,2,3,4,6] => 1101000 => 2
[9,8,7,6,5,2,1,4,3] => 11111101 => 1
[9,8,7,3,2,1,6,5,4] => 11111011 => 1
[9,8,7,6,3,1,5,2,4] => 11111010 => 2
[9,4,3,2,1,8,7,6,5] => 11110111 => 1
[9,8,4,3,1,7,6,2,5] => 11110110 => 2
[9,8,7,2,1,4,3,6,5] => 11110101 => 2
[9,8,7,4,1,6,2,3,5] => 11110100 => 2
[5,4,3,1,9,8,7,2,6] => 11101110 => 2
[9,5,2,1,8,4,3,7,6] => 11101101 => 2
[9,8,3,1,5,2,7,4,6] => 11101010 => 3
[6,3,1,9,5,2,8,4,7] => 11011010 => 3
[6,5,1,9,8,2,3,4,7] => 11011000 => 2
[9,2,1,4,3,6,5,8,7] => 11010101 => 3
[9,6,1,8,2,3,4,5,7] => 11010000 => 2
[5,1,7,2,9,3,4,6,8] => 10101000 => 3
[7,1,9,2,3,4,5,6,8] => 10100000 => 2
[10,9,8,7,6,5,2,1,4,3] => 111111101 => 1
[10,9,8,7,3,2,1,6,5,4] => 111111011 => 1
[10,9,8,7,6,3,1,5,2,4] => 111111010 => 2
[10,9,4,3,2,1,8,7,6,5] => 111110111 => 1
[10,9,8,4,3,1,7,6,2,5] => 111110110 => 2
[10,9,8,7,2,1,4,3,6,5] => 111110101 => 2
[10,9,8,7,4,1,6,2,3,5] => 111110100 => 2
[10,5,4,3,1,9,8,7,2,6] => 111101110 => 2
[10,9,5,2,1,8,4,3,7,6] => 111101101 => 2
[10,9,5,4,1,8,7,2,3,6] => 111101100 => 2
[10,9,8,3,1,5,2,7,4,6] => 111101010 => 3
[6,5,2,1,10,9,4,3,8,7] => 111011101 => 2
[6,5,4,1,10,9,8,2,3,7] => 111011100 => 2
[10,3,2,1,6,5,4,9,8,7] => 111011011 => 2
[10,6,5,1,9,8,2,3,4,7] => 111011000 => 2
[10,9,2,1,4,3,6,5,8,7] => 111010101 => 3
[10,9,6,1,8,2,3,4,5,7] => 111010000 => 2
[4,3,1,7,6,2,10,9,5,8] => 110110110 => 3
[7,2,1,10,4,3,6,5,9,8] => 110110101 => 3
[7,4,1,10,6,2,9,3,5,8] => 110110100 => 3
[7,6,1,10,9,2,3,4,5,8] => 110110000 => 2
[10,5,1,7,2,9,3,4,6,8] => 110101000 => 3
[10,7,1,9,2,3,4,5,6,8] => 110100000 => 2
[4,1,6,2,8,3,10,5,7,9] => 101010100 => 4
[6,1,8,2,10,3,4,5,7,9] => 101010000 => 3
[8,1,10,2,3,4,5,6,7,9] => 101000000 => 2
[2,4,8,5,3,7,1,6] => 0011010 => 2
[2,4,1,8,5,3,7,6] => 0101101 => 2
[2,4,8,6,3,1,7,5] => 0011101 => 1
[3,4,6,8,2,1,7,5] => 0001101 => 1
[3,4,1,5,8,2,7,6] => 0100101 => 2
[8,1,4,5,3,2,7,6] => 1001101 => 2
[3,4,1,5,2,8,7,6] => 0101011 => 2
[3,4,6,2,1,8,7,5] => 0011011 => 1
[3,5,6,2,1,7,8,4] => 0011001 => 1
[3,4,6,2,7,8,1,5] => 0010010 => 2
[8,1,4,6,3,7,2,5] => 1001010 => 3
[8,1,4,6,3,7,5,2] => 1001011 => 2
[3,5,6,2,1,7,4,8] => 0011010 => 2
[8,1,5,6,7,3,4,2] => 1000101 => 2
[8,1,5,6,7,3,2,4] => 1000110 => 2
[3,4,1,6,8,7,2,5] => 0100110 => 2
[3,5,6,1,8,7,2,4] => 0010110 => 2
[2,1,3,8,6,7,4,5] => 1001010 => 3
[8,1,3,2,6,7,5,4] => 1010011 => 2
[2,3,8,6,7,1,5,4] => 0010101 => 2
[2,4,1,8,6,7,5,3] => 0101011 => 2
[2,5,8,6,1,7,4,3] => 0011011 => 1
[3,5,6,1,8,7,4,2] => 0010111 => 1
[3,4,1,6,8,7,5,2] => 0100111 => 1
[3,4,6,8,7,1,5,2] => 0001101 => 1
[8,1,4,6,2,7,5,3] => 1001011 => 2
[3,5,1,6,7,8,4,2] => 0100011 => 1
[4,5,6,1,7,8,3,2] => 0010011 => 1
[4,5,6,1,7,3,8,2] => 0010101 => 2
[3,5,1,6,7,4,8,2] => 0100101 => 2
[8,1,5,6,7,4,2,3] => 1000110 => 2
[8,1,5,6,7,4,3,2] => 1000111 => 1
[3,5,1,6,7,4,2,8] => 0100110 => 2
[4,5,6,1,7,3,2,8] => 0010110 => 2
[6,5,8,7,4,3,1,2] => 1011110 => 2
[6,4,2,7,8,5,1,3] => 1100110 => 2
[6,1,4,8,7,5,2,3] => 1001110 => 2
[1,6,4,8,7,5,2,3] => 0101110 => 2
[1,8,6,2,4,7,3,5] => 0110010 => 2
[8,1,6,2,4,7,3,5] => 1010010 => 3
[7,6,2,1,4,8,3,5] => 1110010 => 2
[6,4,1,7,8,5,2,3] => 1100110 => 2
[7,6,1,2,4,8,3,5] => 1100010 => 2
[7,6,1,3,4,8,2,5] => 1100010 => 2
[8,1,6,3,4,7,2,5] => 1010010 => 3
[1,8,6,3,4,7,2,5] => 0110010 => 2
[1,7,2,5,4,8,3,6] => 0101010 => 3
[7,1,2,5,4,8,3,6] => 1001010 => 3
[2,7,1,5,4,8,3,6] => 0101010 => 3
[2,8,6,3,4,7,1,5] => 0110010 => 2
[2,8,6,1,4,7,3,5] => 0110010 => 2
[7,2,1,5,4,8,3,6] => 1101010 => 3
[1,2,7,5,4,8,3,6] => 0011010 => 2
[3,2,7,5,4,8,1,6] => 1011010 => 3
[2,5,8,4,7,3,1,6] => 0010110 => 2
[2,3,7,5,4,8,1,6] => 0011010 => 2
[6,8,3,2,4,7,1,5] => 0110010 => 2
[3,7,2,5,4,8,1,6] => 0101010 => 3
[3,1,7,5,4,8,2,6] => 1011010 => 3
[1,3,7,5,4,8,2,6] => 0011010 => 2
[1,5,8,4,7,3,2,6] => 0010110 => 2
[5,1,8,4,7,3,2,6] => 1010110 => 3
[5,8,2,4,7,3,1,6] => 0100110 => 2
[6,8,4,3,7,5,1,2] => 0110110 => 2
[8,7,5,6,2,1,4,3] => 1101101 => 2
[8,5,2,4,7,3,1,6] => 1100110 => 2
[8,1,5,4,7,3,2,6] => 1010110 => 3
[1,8,5,4,7,3,2,6] => 0110110 => 2
[1,7,3,5,4,8,2,6] => 0101010 => 3
[8,6,3,1,4,7,2,5] => 1110010 => 2
[8,6,4,2,7,5,1,3] => 1110110 => 2
[8,6,4,1,7,2,5,3] => 1110101 => 2
[5,3,7,4,6,8,2,1] => 1010011 => 2
[4,1,3,2,7,8,5,6] => 1010010 => 3
[1,4,3,2,7,8,5,6] => 0110010 => 2
[2,4,3,1,7,8,5,6] => 0110010 => 2
[2,7,3,5,4,8,1,6] => 0101010 => 3
[2,8,5,4,7,3,1,6] => 0110110 => 2
[5,7,3,4,6,8,2,1] => 0100011 => 1
[8,2,5,4,7,3,1,6] => 1010110 => 3
[7,2,3,5,4,8,1,6] => 1001010 => 3
[3,2,1,4,7,8,5,6] => 1100010 => 2
[8,1,7,6,4,3,5,2] => 1011101 => 2
[8,6,4,5,2,7,1,3] => 1101010 => 3
[7,1,8,6,4,3,5,2] => 1011101 => 2
[7,4,2,5,1,6,3,8] => 1101010 => 3
[7,3,6,5,2,1,4,8] => 1011100 => 2
[8,3,6,5,2,1,7,4] => 1011101 => 2
[7,3,6,5,2,1,8,4] => 1011101 => 2
[7,5,8,6,4,2,1,3] => 1011110 => 2
[5,4,2,8,1,3,7,6] => 1101001 => 2
[5,8,2,6,4,1,3,7] => 0101100 => 2
[6,4,2,5,1,8,3,7] => 1101010 => 3
[6,3,5,2,1,4,7,8] => 1011000 => 2
[2,5,8,6,3,1,4,7] => 0011100 => 1
[2,3,5,8,1,4,7,6] => 0001001 => 1
[2,3,6,8,1,5,7,4] => 0001001 => 1
[6,3,8,5,2,7,1,4] => 1011010 => 3
[6,3,7,5,2,1,4,8] => 1011100 => 2
[2,5,7,6,3,1,4,8] => 0011100 => 1
[2,8,7,6,3,1,5,4] => 0111101 => 1
[2,5,8,7,6,3,1,4] => 0011110 => 1
[2,4,8,1,6,5,7,3] => 0010101 => 2
[2,8,7,3,6,1,4,5] => 0110100 => 2
[7,3,5,2,1,4,6,8] => 1011000 => 2
[8,4,2,5,1,3,7,6] => 1101001 => 2
[2,3,6,8,1,4,7,5] => 0001001 => 1
[2,7,8,6,3,1,4,5] => 0011100 => 1
[7,3,8,5,2,1,4,6] => 1011100 => 2
[2,3,6,1,8,4,7,5] => 0010101 => 2
[2,8,6,3,1,4,5,7] => 0111000 => 1
[8,3,5,2,1,4,6,7] => 1011000 => 2
[2,4,8,1,3,7,5,6] => 0010010 => 2
[2,5,8,1,7,3,6,4] => 0010101 => 2
[3,8,6,1,4,7,5,2] => 0110011 => 1
[2,7,1,5,8,3,4,6] => 0100100 => 2
[3,7,5,8,1,2,6,4] => 0101001 => 2
[7,3,6,1,2,8,4,5] => 1010010 => 3
[7,4,8,1,6,5,2,3] => 1010110 => 3
[7,4,5,8,6,1,2,3] => 1001100 => 2
[6,8,4,5,1,7,2,3] => 0101010 => 3
[5,1,8,7,6,2,3,4] => 1011100 => 2
[8,5,1,6,2,7,3,4] => 1101010 => 3
[4,6,1,8,7,5,2,3] => 0101110 => 2
[4,5,1,8,7,2,3,6] => 0101100 => 2
[3,4,8,7,1,2,5,6] => 0011000 => 1
[6,4,8,7,1,2,5,3] => 1011001 => 2
[6,5,1,2,7,3,8,4] => 1100101 => 2
[6,5,1,8,2,7,3,4] => 1101010 => 3
[6,5,1,7,2,8,3,4] => 1101010 => 3
[6,5,1,7,2,3,8,4] => 1101001 => 2
[5,6,8,7,4,1,2,3] => 0011100 => 1
[6,8,5,7,4,1,2,3] => 0101100 => 2
[7,3,8,1,5,2,4,6] => 1010100 => 3
[4,1,7,5,3,6,2,8] => 1011010 => 3
[1,8,4,2,3,6,7,5] => 0110001 => 1
[2,5,8,3,4,6,7,1] => 0010001 => 1
[4,1,7,2,3,6,8,5] => 1010001 => 2
[4,6,2,1,5,7,8,3] => 0110001 => 1
[4,5,2,3,1,7,8,6] => 0101001 => 2
[3,2,6,7,4,1,8,5] => 1001101 => 2
[5,6,2,7,1,4,8,3] => 0101001 => 2
[6,2,3,8,1,7,4,5] => 1001010 => 3
[2,6,8,3,4,7,1,5] => 0010010 => 2
[4,6,2,7,5,1,3,8] => 0101100 => 2
[2,6,3,1,8,4,5,7] => 0110100 => 2
[2,4,3,7,8,1,5,6] => 0100100 => 2
[5,3,2,7,4,8,1,6] => 1101010 => 3
[5,1,2,7,6,8,4,3] => 1001011 => 2
[2,6,3,1,8,7,4,5] => 0110110 => 2
[3,5,6,4,7,8,1,2] => 0010010 => 2
[5,3,6,4,2,8,7,1] => 1011011 => 2
[5,4,2,3,7,8,6,1] => 1100011 => 1
[4,1,8,2,5,7,3,6] => 1010010 => 3
[3,1,8,4,7,2,5,6] => 1010100 => 3
[6,2,3,8,4,1,7,5] => 1001101 => 2
[2,6,4,1,5,3,8,7] => 0110101 => 2
[3,2,7,6,4,1,8,5] => 1011101 => 2
[2,5,4,1,7,6,8,3] => 0110101 => 2
[6,2,1,4,7,8,3,5] => 1100010 => 2
[2,6,5,1,7,8,3,4] => 0110010 => 2
[4,7,5,2,1,6,3,8] => 0111010 => 2
[4,2,3,7,8,1,6,5] => 1000101 => 2
[5,8,3,1,7,2,4,6] => 0110100 => 2
[6,8,3,1,5,2,4,7] => 0110100 => 2
[4,2,7,1,6,3,5,8] => 1010100 => 3
[5,1,7,4,2,6,3,8] => 1011010 => 3
[5,8,2,1,4,7,3,6] => 0110010 => 2
[6,8,3,2,5,1,7,4] => 0110101 => 2
[6,8,4,3,1,5,7,2] => 0111001 => 1
[6,8,4,2,1,5,7,3] => 0111001 => 1
[6,8,3,2,1,4,5,7] => 0111000 => 1
[5,1,7,3,2,4,6,8] => 1011000 => 2
[5,2,1,8,3,6,7,4] => 1101001 => 2
[4,3,8,1,6,2,7,5] => 1010101 => 3
[4,2,1,6,5,8,3,7] => 1101010 => 3
[4,2,1,8,5,7,3,6] => 1101010 => 3
[6,3,2,1,7,4,5,8] => 1110100 => 2
[6,4,2,1,7,5,3,8] => 1110110 => 2
[7,5,2,1,8,6,3,4] => 1110110 => 2
[5,3,2,7,6,1,4,8] => 1101100 => 2
[5,3,2,8,6,1,4,7] => 1101100 => 2
[6,3,2,8,7,1,4,5] => 1101100 => 2
[4,2,8,1,7,3,5,6] => 1010100 => 3
[4,3,8,7,2,1,5,6] => 1011100 => 2
[2,1,5,8,4,7,3,6] => 1001010 => 3
[4,3,2,5,8,1,6,7] => 1100100 => 2
[4,3,2,5,7,1,6,8] => 1100100 => 2
[4,3,1,6,2,7,5,8] => 1101010 => 3
[5,4,1,7,2,8,6,3] => 1101011 => 2
[6,5,3,1,7,8,4,2] => 1110011 => 1
[6,4,2,1,7,8,5,3] => 1110011 => 1
[3,2,1,4,8,7,5,6] => 1100110 => 2
[3,2,1,4,6,8,5,7] => 1100010 => 2
[5,3,2,1,6,7,8,4] => 1110001 => 1
[8,6,1,4,5,7,2,3] => 1100010 => 2
[3,8,6,4,5,7,1,2] => 0110010 => 2
[5,2,8,3,7,4,6,1] => 1010101 => 3
[6,2,8,5,4,7,3,1] => 1011011 => 2
[1,8,6,3,7,4,2,5] => 0110110 => 2
[1,8,6,5,7,2,3,4] => 0110100 => 2
[5,2,8,4,3,6,7,1] => 1011001 => 2
[5,4,2,7,3,6,1,8] => 1101010 => 3
[5,4,2,8,3,6,1,7] => 1101010 => 3
[6,5,3,8,4,7,2,1] => 1101011 => 2
[5,2,8,4,3,7,1,6] => 1011010 => 3
[6,2,8,3,7,4,1,5] => 1010110 => 3
[5,4,2,7,3,1,8,6] => 1101101 => 2
[6,4,3,7,1,2,8,5] => 1101001 => 2
[6,4,3,8,1,2,7,5] => 1101001 => 2
[7,6,3,8,4,2,1,5] => 1101110 => 2
[7,2,8,5,1,6,3,4] => 1011010 => 3
[7,2,8,4,3,1,5,6] => 1011100 => 2
[7,5,3,8,4,2,6,1] => 1101101 => 2
[6,4,2,7,3,1,5,8] => 1101100 => 2
[7,6,4,8,2,3,5,1] => 1101001 => 2
[7,6,8,1,2,5,3,4] => 1010010 => 3
[5,3,1,7,8,4,6,2] => 1100101 => 2
[5,3,2,7,8,4,6,1] => 1100101 => 2
[5,4,1,6,3,8,7,2] => 1101011 => 2
[6,5,1,7,8,2,3,4] => 1100100 => 2
[6,3,1,7,8,4,2,5] => 1100110 => 2
[5,4,1,7,3,8,2,6] => 1101010 => 3
[6,3,2,7,8,4,1,5] => 1100110 => 2
[6,1,5,4,3,2,8,7] => 1011101 => 2
[8,7,6,1,3,5,2,4] => 1110010 => 2
[8,1,6,5,7,3,4,2] => 1010101 => 3
[8,4,1,5,7,6,2,3] => 1100110 => 2
[7,8,6,2,5,3,1,4] => 0110110 => 2
[6,1,3,5,2,8,4,7] => 1001010 => 3
[8,1,3,7,4,2,5,6] => 1001100 => 2
[4,3,8,7,5,2,1,6] => 1011110 => 2
[6,7,1,8,5,3,4,2] => 0101101 => 2
[2,7,6,4,8,3,5,1] => 0110101 => 2
[6,5,2,7,1,4,8,3] => 1101001 => 2
[7,4,6,1,3,2,8,5] => 1010101 => 3
[7,5,2,1,3,8,4,6] => 1110010 => 2
[8,4,7,6,3,1,5,2] => 1011101 => 2
[7,4,1,5,6,3,8,2] => 1100101 => 2
[3,4,7,5,6,1,8,2] => 0010101 => 2
[2,4,7,5,6,3,8,1] => 0010101 => 2
[5,4,1,7,6,2,8,3] => 1101101 => 2
[3,5,6,7,1,4,8,2] => 0001001 => 1
[2,7,6,1,3,4,8,5] => 0110001 => 1
[5,7,2,1,6,3,8,4] => 0110101 => 2
[4,7,2,5,6,3,8,1] => 0100101 => 2
[8,6,2,5,7,1,4,3] => 1100101 => 2
[2,7,4,5,3,8,1,6] => 0101010 => 3
[6,8,7,1,3,2,5,4] => 0110101 => 2
[2,8,6,5,7,1,4,3] => 0110101 => 2
[5,8,4,3,2,6,7,1] => 0111001 => 1
[1,8,5,6,2,4,7,3] => 0101001 => 2
[8,1,5,6,2,4,7,3] => 1001001 => 2
[6,4,8,1,3,2,7,5] => 1010101 => 3
[1,4,5,2,8,6,7,3] => 0010101 => 2
[2,3,1,7,8,6,4,5] => 0100110 => 2
[3,5,7,6,2,8,1,4] => 0011010 => 2
[4,5,6,1,2,8,7,3] => 0010011 => 1
[5,4,1,2,8,6,7,3] => 1100101 => 2
[8,4,5,2,1,6,7,3] => 1011001 => 2
[3,1,2,6,8,4,7,5] => 1000101 => 2
[5,1,3,2,7,8,4,6] => 1010010 => 3
[1,5,4,2,7,8,3,6] => 0110010 => 2
[4,6,7,8,3,1,5,2] => 0001101 => 1
[7,6,2,8,4,3,1,5] => 1101110 => 2
[5,2,8,6,3,4,7,1] => 1011001 => 2
[5,6,8,4,3,2,7,1] => 0011101 => 1
[5,3,8,1,7,2,4,6] => 1010100 => 3
[3,6,7,8,4,2,1,5] => 0001110 => 1
[6,5,1,8,4,3,7,2] => 1101101 => 2
[6,3,8,4,2,1,7,5] => 1011101 => 2
[2,5,8,3,1,6,7,4] => 0011001 => 1
[3,5,8,1,2,6,7,4] => 0010001 => 1
[3,2,8,1,5,6,7,4] => 1010001 => 2
[1,5,8,3,2,6,7,4] => 0011001 => 1
[1,3,8,6,2,4,7,5] => 0011001 => 1
[3,2,7,8,4,6,1,5] => 1001010 => 3
[5,1,8,3,4,6,7,2] => 1010001 => 2
[4,8,7,2,1,6,3,5] => 0111010 => 2
[2,8,1,6,3,4,7,5] => 0101001 => 2
[8,3,4,2,1,6,5,7] => 1011010 => 3
[6,4,7,2,5,8,1,3] => 1010010 => 3
[8,4,5,2,6,3,1,7] => 1010110 => 3
[2,4,5,8,3,6,1,7] => 0001010 => 2
[3,5,8,1,2,6,4,7] => 0010010 => 2
[8,6,1,3,5,2,4,7] => 1100100 => 2
[8,5,1,2,6,4,3,7] => 1100110 => 2
[5,8,6,1,3,4,2,7] => 0110010 => 2
[5,8,4,6,1,3,2,7] => 0101010 => 3
[7,3,4,5,2,8,1,6] => 1001010 => 3
[5,7,4,3,6,1,8,2] => 0110101 => 2
[2,6,4,3,7,8,5,1] => 0110011 => 1
[7,4,1,8,3,2,5,6] => 1101100 => 2
[6,2,1,7,8,4,5,3] => 1100101 => 2
[7,6,3,1,5,4,8,2] => 1110101 => 2
[2,4,6,5,1,7,8,3] => 0011001 => 1
[1,4,7,5,6,8,2,3] => 0010010 => 2
[1,4,7,6,5,8,2,3] => 0011010 => 2
[3,7,5,2,4,6,8,1] => 0110001 => 1
[5,6,1,7,4,2,8,3] => 0101101 => 2
[3,7,4,8,1,2,6,5] => 0101001 => 2
[6,3,5,7,8,1,4,2] => 1000101 => 2
[3,6,5,7,1,8,4,2] => 0101011 => 2
[6,4,7,8,2,1,3,5] => 1001100 => 2
[6,7,3,8,4,1,2,5] => 0101100 => 2
[2,7,8,3,4,6,1,5] => 0010010 => 2
[7,5,8,4,1,3,2,6] => 1011010 => 3
[4,7,5,8,3,1,2,6] => 0101100 => 2
[3,6,7,4,8,1,2,5] => 0010100 => 2
[5,7,3,1,6,8,4,2] => 0110011 => 1
[2,7,3,1,8,6,4,5] => 0110110 => 2
[2,8,4,3,1,5,7,6] => 0111001 => 1
[4,8,1,2,3,5,7,6] => 0100001 => 1
[7,6,8,1,2,4,3,5] => 1010010 => 3
[7,6,8,5,1,3,2,4] => 1011010 => 3
[2,8,5,4,6,1,7,3] => 0110101 => 2
[8,4,5,2,7,6,1,3] => 1010110 => 3
[8,7,6,4,1,2,5,3] => 1111001 => 1
[6,7,1,3,5,2,8,4] => 0100101 => 2
[5,7,2,3,6,8,1,4] => 0100010 => 2
[8,5,3,2,7,6,1,4] => 1110110 => 2
[3,4,6,7,5,8,1,2] => 0001010 => 2
[3,4,5,7,6,1,8,2] => 0001101 => 1
[2,6,4,5,7,8,3,1] => 0100011 => 1
[3,8,5,1,6,2,7,4] => 0110101 => 2
[2,5,1,3,6,8,7,4] => 0100011 => 1
[5,4,6,1,3,7,8,2] => 1010001 => 2
[6,3,5,7,1,4,8,2] => 1001001 => 2
[7,3,4,6,8,1,5,2] => 1000101 => 2
[7,5,2,8,4,1,3,6] => 1101100 => 2
[3,7,6,4,1,8,2,5] => 0111010 => 2
[3,7,8,4,1,5,6,2] => 0011001 => 1
[8,7,5,4,2,1,6,3] => 1111101 => 1
[3,5,8,6,7,4,2,1] => 0010111 => 1
[5,8,1,6,7,3,4,2] => 0100101 => 2
[6,7,2,5,1,8,4,3] => 0101011 => 2
[5,8,2,1,6,7,4,3] => 0110011 => 1
[4,5,2,8,6,3,7,1] => 0101101 => 2
[3,6,1,2,5,8,4,7] => 0100010 => 2
[1,4,5,8,2,3,7,6] => 0001001 => 1
[1,2,6,4,5,8,3,7] => 0010010 => 2
[1,5,2,4,6,8,3,7] => 0100010 => 2
[3,6,1,5,8,2,4,7] => 0100100 => 2
[2,6,5,1,4,8,3,7] => 0110010 => 2
[5,2,6,1,4,8,3,7] => 1010010 => 3
[2,5,1,8,4,7,3,6] => 0101010 => 3
[2,7,1,4,3,6,8,5] => 0101001 => 2
[1,3,7,5,8,2,4,6] => 0010100 => 2
[8,2,1,5,7,3,4,6] => 1100100 => 2
[2,5,4,8,1,3,7,6] => 0101001 => 2
[2,4,1,3,8,6,7,5] => 0100101 => 2
[8,4,3,7,1,2,6,5] => 1101001 => 2
[1,7,3,5,8,2,6,4] => 0100101 => 2
[1,8,4,2,6,7,3,5] => 0110010 => 2
[3,1,6,8,7,2,4,5] => 1001100 => 2
[7,2,1,6,8,3,4,5] => 1100100 => 2
[3,1,7,6,8,2,4,5] => 1010100 => 3
[4,1,7,2,6,8,3,5] => 1010010 => 3
[5,1,7,2,3,6,8,4] => 1010001 => 2
[7,2,1,6,3,5,8,4] => 1101001 => 2
[2,6,1,7,3,5,8,4] => 0101001 => 2
[7,1,2,5,3,6,8,4] => 1001001 => 2
[5,4,1,2,7,8,3,6] => 1100010 => 2
[8,1,3,2,4,6,7,5] => 1010001 => 2
[7,3,1,2,4,6,8,5] => 1100001 => 1
[1,8,3,4,7,2,5,6] => 0100100 => 2
[3,5,8,1,2,7,4,6] => 0010010 => 2
[3,6,8,1,2,4,7,5] => 0010001 => 1
[4,1,3,8,7,2,6,5] => 1001101 => 2
[1,3,7,4,8,2,6,5] => 0010101 => 2
[1,4,6,8,2,3,7,5] => 0001001 => 1
[3,5,8,1,7,2,4,6] => 0010100 => 2
[2,6,8,1,7,3,4,5] => 0010100 => 2
[6,1,5,8,2,3,7,4] => 1001001 => 2
[1,8,3,2,7,5,6,4] => 0110101 => 2
[3,1,7,2,8,5,6,4] => 1010101 => 3
[2,6,7,3,8,1,5,4] => 0010101 => 2
[8,4,1,7,3,6,2,5] => 1101010 => 3
[3,7,2,8,6,1,5,4] => 0101101 => 2
[6,2,3,8,7,1,5,4] => 1001101 => 2
[5,1,7,8,4,2,6,3] => 1001101 => 2
[5,1,8,7,4,2,6,3] => 1011101 => 2
[4,7,2,8,3,6,5,1] => 0101011 => 2
[4,1,7,8,5,3,6,2] => 1001101 => 2
[5,1,7,4,8,3,6,2] => 1010101 => 3
[4,1,8,7,5,3,6,2] => 1011101 => 2
[4,8,2,7,3,6,5,1] => 0101011 => 2
[4,7,2,6,3,5,8,1] => 0101001 => 2
[6,8,2,4,3,7,5,1] => 0101011 => 2
[6,7,2,4,3,8,5,1] => 0101011 => 2
[6,8,2,7,3,5,4,1] => 0101011 => 2
[3,8,7,2,4,1,5,6] => 0110100 => 2
[3,7,8,2,4,1,5,6] => 0010100 => 2
[3,6,8,2,4,5,7,1] => 0010001 => 1
[3,6,7,2,4,5,8,1] => 0010001 => 1
[6,5,1,4,2,3,8,7] => 1101001 => 2
[8,6,1,7,2,5,4,3] => 1101011 => 2
[8,7,6,1,2,3,5,4] => 1110001 => 1
[5,4,3,1,6,2,8,7] => 1110101 => 2
[8,3,4,7,1,6,2,5] => 1001010 => 3
[6,3,4,1,8,5,2,7] => 1010110 => 3
[3,8,5,2,7,1,6,4] => 0110101 => 2
[2,8,6,7,5,3,4,1] => 0101101 => 2
[2,1,8,7,3,6,4,5] => 1011010 => 3
[3,6,5,8,2,4,7,1] => 0101001 => 2
[5,2,1,8,7,3,4,6] => 1101100 => 2
[6,5,2,7,4,3,8,1] => 1101101 => 2
[4,6,5,2,7,3,8,1] => 0110101 => 2
[6,2,7,1,8,3,5,4] => 1010101 => 3
[2,7,5,4,8,3,6,1] => 0110101 => 2
[8,7,5,1,2,6,4,3] => 1110011 => 1
[8,4,3,2,7,1,6,5] => 1110101 => 2
[7,1,6,2,3,8,5,4] => 1010011 => 2
[4,8,1,3,2,7,5,6] => 0101010 => 3
[3,8,1,4,7,5,2,6] => 0100110 => 2
[6,3,8,7,4,5,1,2] => 1011010 => 3
[6,1,4,8,5,2,3,7] => 1001100 => 2
[8,5,7,4,6,2,1,3] => 1010110 => 3
[4,6,7,8,2,3,5,1] => 0001001 => 1
[8,7,4,6,2,1,5,3] => 1101101 => 2
[7,6,1,3,5,2,8,4] => 1100101 => 2
[5,8,3,2,4,6,1,7] => 0110010 => 2
[8,2,6,5,3,1,7,4] => 1011101 => 2
[4,8,7,6,5,2,3,1] => 0111101 => 1
[2,1,8,6,4,3,7,5] => 1011101 => 2
[2,1,7,6,5,3,8,4] => 1011101 => 2
[2,7,6,1,3,5,8,4] => 0110001 => 1
[7,2,5,4,6,1,8,3] => 1010101 => 3
[4,7,6,1,2,5,8,3] => 0110001 => 1
[2,4,1,7,6,8,5,3] => 0101011 => 2
[3,4,1,7,8,5,6,2] => 0100101 => 2
[7,5,4,3,1,8,6,2] => 1111011 => 1
[8,5,6,2,7,3,1,4] => 1010110 => 3
[8,4,2,5,6,1,7,3] => 1100101 => 2
[6,3,5,4,1,7,8,2] => 1011001 => 2
[4,1,3,6,7,5,8,2] => 1000101 => 2
[1,7,5,3,8,2,4,6] => 0110100 => 2
[1,7,2,4,5,8,3,6] => 0100010 => 2
[8,2,5,3,1,6,4,7] => 1011010 => 3
[1,7,4,5,8,3,2,6] => 0100110 => 2
[2,6,4,7,8,3,5,1] => 0100101 => 2
[2,6,4,7,8,3,1,5] => 0100110 => 2
[1,2,6,4,7,8,3,5] => 0010010 => 2
[2,7,4,5,8,1,3,6] => 0100100 => 2
[2,7,5,3,1,8,4,6] => 0111010 => 2
[6,1,4,7,8,3,5,2] => 1000101 => 2
[3,6,4,7,8,1,5,2] => 0100101 => 2
[4,3,6,7,1,8,5,2] => 1001011 => 2
[4,3,6,7,1,8,2,5] => 1001010 => 3
[3,6,4,7,8,1,2,5] => 0100100 => 2
[2,3,6,4,1,7,8,5] => 0011001 => 1
[4,7,2,1,5,3,8,6] => 0110101 => 2
[3,7,4,5,2,1,8,6] => 0101101 => 2
[1,3,6,4,7,2,8,5] => 0010101 => 2
[3,6,4,7,2,8,5,1] => 0101011 => 2
[5,1,3,4,2,7,8,6] => 1001001 => 2
[5,4,2,1,3,7,8,6] => 1110001 => 1
[6,1,7,3,8,2,5,4] => 1010101 => 3
[1,6,7,3,8,2,5,4] => 0010101 => 2
[6,1,4,7,8,5,2,3] => 1000110 => 2
[6,3,2,1,7,8,5,4] => 1110011 => 1
[6,2,7,3,1,8,5,4] => 1011011 => 2
[6,2,4,7,8,1,5,3] => 1000101 => 2
[2,6,7,3,1,8,5,4] => 0011011 => 1
[8,6,5,1,3,2,4,7] => 1110100 => 2
[6,4,7,8,3,2,5,1] => 1001101 => 2
[3,8,4,7,1,2,5,6] => 0101000 => 2
[8,6,1,2,5,4,3,7] => 1100110 => 2
[4,8,6,1,5,3,2,7] => 0110110 => 2
[5,8,6,4,1,3,2,7] => 0111010 => 2
[8,3,6,4,5,2,1,7] => 1010110 => 3
[6,8,5,7,4,2,3,1] => 0101101 => 2
[2,3,8,7,1,6,4,5] => 0011010 => 2
[4,3,7,8,1,6,2,5] => 1001010 => 3
[3,5,8,7,4,1,2,6] => 0011100 => 1
[7,3,8,4,1,2,5,6] => 1011000 => 2
[4,8,1,2,7,3,5,6] => 0100100 => 2
[6,8,1,2,7,4,5,3] => 0100101 => 2
[5,6,8,4,1,3,7,2] => 0011001 => 1
[8,5,4,7,1,6,3,2] => 1101011 => 2
[2,5,8,7,3,6,4,1] => 0011011 => 1
[2,4,8,7,5,6,1,3] => 0011010 => 2
[3,7,4,8,5,6,2,1] => 0101011 => 2
[6,4,8,7,5,1,2,3] => 1011100 => 2
[3,8,5,2,4,6,7,1] => 0110001 => 1
[5,7,1,8,4,6,2,3] => 0101010 => 3
[6,3,8,7,2,1,4,5] => 1011100 => 2
[2,3,7,8,5,6,1,4] => 0001010 => 2
[3,7,6,8,5,1,2,4] => 0101100 => 2
[2,6,7,8,5,1,3,4] => 0001100 => 1
[2,4,7,8,1,6,3,5] => 0001010 => 2
[5,4,7,8,2,6,3,1] => 1001011 => 2
[2,8,3,4,1,5,7,6] => 0101001 => 2
[6,8,3,4,1,2,7,5] => 0101001 => 2
[6,8,7,1,5,2,3,4] => 0110100 => 2
[5,8,3,2,7,6,1,4] => 0110110 => 2
[2,5,3,1,8,6,7,4] => 0110101 => 2
[4,5,3,2,8,6,7,1] => 0110101 => 2
[3,5,8,6,1,4,7,2] => 0011001 => 1
[2,8,5,6,1,4,7,3] => 0101001 => 2
[4,8,6,1,5,2,7,3] => 0110101 => 2
[5,8,2,3,7,6,1,4] => 0100110 => 2
[4,6,8,5,3,2,7,1] => 0011101 => 1
[2,6,4,8,5,1,7,3] => 0101101 => 2
[7,6,4,8,5,2,1,3] => 1101110 => 2
[3,4,8,6,5,2,7,1] => 0011101 => 1
[3,4,8,7,5,6,2,1] => 0011011 => 1
[7,5,3,2,8,6,1,4] => 1110110 => 2
[2,5,1,3,8,6,7,4] => 0100101 => 2
[4,5,1,2,8,6,7,3] => 0100101 => 2
[5,4,8,1,3,6,7,2] => 1010001 => 2
[8,3,5,4,1,6,7,2] => 1011001 => 2
[7,3,4,8,5,6,1,2] => 1001010 => 3
[6,1,5,7,2,4,8,3] => 1001001 => 2
[7,4,5,1,2,3,8,6] => 1010001 => 2
[7,4,3,1,2,8,5,6] => 1110010 => 2
[8,4,7,6,2,1,5,3] => 1011101 => 2
[8,4,6,5,7,1,3,2] => 1010101 => 3
[7,2,1,4,5,8,3,6] => 1100010 => 2
[7,4,1,6,3,5,8,2] => 1101001 => 2
[3,5,7,6,4,1,8,2] => 0011101 => 1
[4,7,5,2,1,3,8,6] => 0111001 => 1
[5,7,2,3,6,4,8,1] => 0100101 => 2
[8,6,2,3,7,1,4,5] => 1100100 => 2
[5,7,2,4,8,3,6,1] => 0100101 => 2
[1,7,2,4,8,6,3,5] => 0100110 => 2
[7,6,1,5,4,8,3,2] => 1101011 => 2
[4,7,3,2,1,8,5,6] => 0111010 => 2
[3,1,7,2,5,8,4,6] => 1010010 => 3
[4,8,7,6,1,2,5,3] => 0111001 => 1
[7,8,6,1,3,2,5,4] => 0110101 => 2
[2,8,6,7,4,1,3,5] => 0101100 => 2
[5,8,6,4,2,3,1,7] => 0111010 => 2
[2,8,3,1,6,5,4,7] => 0110110 => 2
[3,8,1,2,5,7,4,6] => 0100010 => 2
[6,8,5,4,2,7,3,1] => 0111011 => 1
[6,8,3,1,2,4,5,7] => 0110000 => 1
[4,6,8,7,3,1,5,2] => 0011101 => 1
[6,5,3,7,8,4,1,2] => 1100110 => 2
[4,1,3,8,7,5,6,2] => 1001101 => 2
[6,2,7,4,8,1,3,5] => 1010100 => 3
[8,4,5,2,1,6,3,7] => 1011010 => 3
[4,3,2,6,8,1,7,5] => 1100101 => 2
[7,1,5,6,3,8,2,4] => 1001010 => 3
[5,1,2,4,7,8,3,6] => 1000010 => 2
[3,5,4,2,8,1,6,7] => 0110100 => 2
[5,1,3,8,4,2,7,6] => 1001101 => 2
[6,2,8,7,3,5,4,1] => 1011011 => 2
[7,1,8,4,3,6,5,2] => 1011011 => 2
[3,6,8,7,4,1,2,5] => 0011100 => 1
[5,6,8,1,7,3,2,4] => 0010110 => 2
[3,1,6,8,7,4,2,5] => 1001110 => 2
[7,4,6,8,2,1,5,3] => 1001101 => 2
[6,5,8,4,3,1,2,7] => 1011100 => 2
[2,5,8,3,6,7,4,1] => 0010011 => 1
[8,5,1,3,7,4,6,2] => 1100101 => 2
[1,5,8,3,7,4,2,6] => 0010110 => 2
[3,8,2,7,1,5,6,4] => 0101001 => 2
[5,8,2,3,6,4,1,7] => 0100110 => 2
[6,8,2,3,4,7,5,1] => 0100011 => 1
[7,5,1,8,4,2,6,3] => 1101101 => 2
[3,6,8,5,2,7,4,1] => 0011011 => 1
[2,1,6,5,4,8,3,7] => 1011010 => 3
[2,1,7,8,4,6,5,3] => 1001011 => 2
[2,1,7,4,3,5,8,6] => 1011001 => 2
[3,5,7,8,4,6,1,2] => 0001010 => 2
[7,5,2,8,4,6,3,1] => 1101011 => 2
[7,8,2,4,3,1,5,6] => 0101100 => 2
[7,6,3,8,1,5,4,2] => 1101011 => 2
[8,4,3,1,7,5,2,6] => 1110110 => 2
[7,3,1,4,6,8,5,2] => 1100011 => 1
[4,3,8,7,1,6,5,2] => 1011011 => 2
[4,7,1,8,5,2,6,3] => 0101101 => 2
[5,2,4,3,6,8,1,7] => 1010010 => 3
[3,8,6,5,4,1,2,7] => 0111100 => 1
[4,7,5,6,3,8,2,1] => 0101011 => 2
[4,2,7,5,8,3,6,1] => 1010101 => 3
[5,8,2,7,3,4,6,1] => 0101001 => 2
[6,7,2,4,5,3,8,1] => 0100101 => 2
[6,3,2,1,4,8,5,7] => 1110010 => 2
[6,2,3,1,4,7,8,5] => 1010001 => 2
[5,2,1,3,6,4,8,7] => 1100101 => 2
[7,1,8,3,5,4,6,2] => 1010101 => 3
[7,1,2,4,8,5,6,3] => 1000101 => 2
[7,2,1,3,4,5,8,6] => 1100001 => 1
[8,7,3,5,4,2,1,6] => 1101110 => 2
[8,4,6,5,3,2,1,7] => 1011110 => 2
[5,1,6,4,3,2,8,7] => 1011101 => 2
[8,3,7,1,4,6,5,2] => 1010011 => 2
[2,8,3,6,4,7,5,1] => 0101011 => 2
[6,2,1,7,5,8,3,4] => 1101010 => 3
[6,3,8,7,5,2,1,4] => 1011110 => 2
[6,7,2,1,5,8,4,3] => 0110011 => 1
[9,1,8,7,6,5,4,3,2] => 10111111 => 1
[7,6,8,1,5,4,3,2] => 1010111 => 2
[7,1,9,8,6,5,4,3,2] => 10111111 => 1
[6,1,9,8,7,5,4,3,2] => 10111111 => 1
[5,4,8,7,6,1,3,2] => 1011101 => 2
[5,1,9,8,7,6,4,3,2] => 10111111 => 1
[4,1,9,8,7,6,5,3,2] => 10111111 => 1
[3,1,9,8,7,6,5,4,2] => 10111111 => 1
[10,1,9,8,7,6,5,4,3,2] => 101111111 => 1
[9,8,1,7,6,5,4,3,2] => 11011111 => 1
[7,6,1,8,5,4,3,2] => 1101111 => 1
[8,7,9,1,6,5,4,3,2] => 10101111 => 2
[8,1,10,9,7,6,5,4,3,2] => 101111111 => 1
[6,5,8,1,7,4,3,2] => 1010111 => 2
[7,6,9,8,1,5,4,3,2] => 10110111 => 2
[7,1,10,9,8,6,5,4,3,2] => 101111111 => 1
[6,5,9,8,7,1,4,3,2] => 10111011 => 2
[6,1,10,9,8,7,5,4,3,2] => 101111111 => 1
[6,5,8,7,4,1,3,2] => 1011101 => 2
[5,4,9,8,7,6,1,3,2] => 10111101 => 2
[5,1,10,9,8,7,6,4,3,2] => 101111111 => 1
[4,3,9,8,7,6,5,1,2] => 10111110 => 2
[4,1,10,9,8,7,6,5,3,2] => 101111111 => 1
[3,2,9,8,7,6,5,4,1] => 10111111 => 1
[3,1,10,9,8,7,6,5,4,2] => 101111111 => 1
[1,6,4,8,3,2,5,7] => 0101100 => 2
[1,8,3,5,6,2,4,7] => 0100100 => 2
[1,4,8,5,6,2,3,7] => 0010100 => 2
[1,2,8,5,3,7,4,6] => 0011010 => 2
[6,1,4,8,2,3,5,7] => 1001000 => 2
[8,7,2,5,6,1,4,3] => 1100101 => 2
[1,8,2,5,4,7,3,6] => 0101010 => 3
[5,7,4,1,2,3,8,6] => 0110001 => 1
[1,7,4,2,5,3,8,6] => 0110101 => 2
[6,7,4,2,1,3,8,5] => 0111001 => 1
[6,4,3,8,5,7,1,2] => 1101010 => 3
[7,4,3,6,2,1,5,8] => 1101100 => 2
[6,8,4,2,3,1,5,7] => 0110100 => 2
[3,7,5,2,4,1,6,8] => 0110100 => 2
[5,2,8,6,1,3,4,7] => 1011000 => 2
[7,4,8,2,3,1,5,6] => 1010100 => 3
[4,2,7,3,1,5,6,8] => 1011000 => 2
[7,6,4,5,1,8,2,3] => 1101010 => 3
[8,6,4,1,3,7,2,5] => 1110010 => 2
[5,3,6,1,8,2,4,7] => 1010100 => 3
[3,1,8,5,4,7,6,2] => 1011011 => 2
[4,1,5,8,3,7,6,2] => 1001011 => 2
[4,1,5,3,8,7,6,2] => 1010111 => 2
[4,5,1,8,2,7,6,3] => 0101011 => 2
[4,8,5,3,1,7,6,2] => 0111011 => 1
[4,5,2,8,1,7,6,3] => 0101011 => 2
[4,5,2,1,8,7,6,3] => 0110111 => 1
[5,6,2,7,8,1,4,3] => 0100101 => 2
[4,6,2,8,7,1,5,3] => 0101101 => 2
[4,8,6,3,7,1,5,2] => 0110101 => 2
[4,8,6,3,7,5,1,2] => 0110110 => 2
[4,6,8,2,7,5,1,3] => 0010110 => 2
[4,6,2,8,7,5,1,3] => 0101110 => 2
[5,6,2,7,4,1,8,3] => 0101101 => 2
[5,6,7,2,3,1,8,4] => 0010101 => 2
[5,6,7,2,8,3,1,4] => 0010110 => 2
[5,6,7,2,1,8,3,4] => 0011010 => 2
[5,6,7,2,1,3,8,4] => 0011001 => 1
[5,6,1,7,8,2,4,3] => 0100101 => 2
[5,6,1,7,2,4,8,3] => 0101001 => 2
[5,1,6,7,8,3,4,2] => 1000101 => 2
[4,1,6,8,7,3,5,2] => 1001101 => 2
[3,1,8,6,7,5,4,2] => 1010111 => 2
[4,1,6,8,7,5,3,2] => 1001111 => 1
[5,1,6,7,4,8,3,2] => 1001011 => 2
[5,6,1,7,8,4,2,3] => 0100110 => 2
[4,6,8,1,7,5,2,3] => 0010110 => 2
[4,8,6,1,7,5,3,2] => 0110111 => 1
[5,6,7,1,8,3,2,4] => 0010110 => 2
[5,6,7,1,3,8,2,4] => 0010010 => 2
[5,6,7,1,3,2,8,4] => 0010101 => 2
[5,6,7,3,1,2,8,4] => 0011001 => 1
[5,6,7,3,8,1,2,4] => 0010100 => 2
[5,6,8,7,4,2,1,3] => 0011110 => 1
[5,6,7,3,8,2,1,4] => 0010110 => 2
[7,4,6,2,3,5,1,8] => 1010010 => 3
[1,4,8,6,3,2,5,7] => 0011100 => 1
[7,4,1,6,3,8,5,2] => 1101011 => 2
[7,6,3,1,5,8,4,2] => 1110011 => 1
[6,4,2,5,7,3,1,8] => 1100110 => 2
[4,2,5,7,6,3,1,8] => 1001110 => 2
[7,4,5,6,1,8,3,2] => 1001011 => 2
[4,1,5,8,6,3,2,7] => 1001110 => 2
[3,2,7,6,1,8,5,4] => 1011011 => 2
[4,7,5,1,6,8,2,3] => 0110010 => 2
[8,6,5,1,2,7,4,3] => 1110011 => 1
[3,2,5,1,4,8,7,6] => 1010011 => 2
[8,5,4,1,3,2,7,6] => 1110101 => 2
[1,4,2,3,6,8,7,5] => 0100011 => 1
[5,4,8,3,7,1,6,2] => 1010101 => 3
[4,7,1,8,2,5,3,6] => 0101010 => 3
[6,4,1,8,5,3,7,2] => 1101101 => 2
[8,4,6,1,3,5,2,7] => 1010010 => 3
[3,2,5,4,7,8,1,6] => 1010010 => 3
[5,2,4,3,7,8,1,6] => 1010010 => 3
[8,1,6,7,2,5,3,4] => 1001010 => 3
[3,1,7,6,5,8,2,4] => 1011010 => 3
[1,2,7,5,6,8,3,4] => 0010010 => 2
[6,1,4,7,2,8,3,5] => 1001010 => 3
[3,2,1,7,6,8,4,5] => 1101010 => 3
[3,2,8,6,4,7,1,5] => 1011010 => 3
[7,8,4,6,3,2,1,5] => 0101110 => 2
[1,8,6,5,3,7,2,4] => 0111010 => 2
[8,2,5,3,6,7,1,4] => 1010010 => 3
[3,8,5,2,7,6,1,4] => 0110110 => 2
[4,7,5,3,1,8,6,2] => 0111011 => 1
[4,5,3,6,8,1,7,2] => 0100101 => 2
[3,5,2,6,1,8,7,4] => 0101011 => 2
[1,6,3,5,7,2,8,4] => 0100101 => 2
[1,5,4,6,7,8,2,3] => 0100010 => 2
[8,4,6,5,7,2,1,3] => 1010110 => 3
[7,4,5,2,6,8,1,3] => 1010010 => 3
[5,4,2,6,8,7,1,3] => 1100110 => 2
[7,8,4,3,1,2,6,5] => 0111001 => 1
[6,5,1,4,3,2,8,7] => 1101101 => 2
[2,6,5,1,4,7,3,8] => 0110010 => 2
[3,6,4,5,2,1,8,7] => 0101101 => 2
[5,7,4,1,3,8,6,2] => 0110011 => 1
[7,5,4,2,3,8,1,6] => 1110010 => 2
[5,2,6,7,3,1,4,8] => 1001100 => 2
[2,4,3,8,6,1,5,7] => 0101100 => 2
[7,8,1,3,5,6,2,4] => 0100010 => 2
[7,8,3,1,5,6,2,4] => 0110010 => 2
[7,1,3,8,5,6,2,4] => 1001010 => 3
[1,7,8,3,5,6,2,4] => 0010010 => 2
[5,1,7,8,3,4,6,2] => 1001001 => 2
[1,5,7,8,3,4,6,2] => 0001001 => 1
[3,7,1,5,8,6,2,4] => 0100110 => 2
[1,3,7,8,2,5,6,4] => 0001001 => 1
[3,1,7,8,5,2,6,4] => 1001101 => 2
[1,3,7,5,8,2,6,4] => 0010101 => 2
[3,1,7,5,8,2,6,4] => 1010101 => 3
[3,5,7,1,8,4,6,2] => 0010101 => 2
[3,5,7,8,1,4,6,2] => 0001001 => 1
[5,3,7,8,4,6,1,2] => 1001010 => 3
[5,3,7,8,4,1,6,2] => 1001101 => 2
[5,3,7,8,1,4,6,2] => 1001001 => 2
[5,3,7,1,8,4,6,2] => 1010101 => 3
[1,5,3,7,8,4,2,6] => 0100110 => 2
[5,1,3,7,8,4,2,6] => 1000110 => 2
[3,6,2,1,4,5,8,7] => 0110001 => 1
[4,6,2,5,1,3,8,7] => 0101001 => 2
[6,4,2,5,1,3,8,7] => 1101001 => 2
[8,6,1,7,3,2,4,5] => 1101100 => 2
[2,5,8,1,7,3,4,6] => 0010100 => 2
[6,8,2,7,3,1,4,5] => 0101100 => 2
[6,8,2,3,7,1,4,5] => 0100100 => 2
[8,6,2,7,4,5,1,3] => 1101010 => 3
[5,2,8,1,7,3,4,6] => 1010100 => 3
[4,2,3,8,1,5,6,7] => 1001000 => 2
[5,2,8,3,7,1,4,6] => 1010100 => 3
[5,2,8,4,6,1,3,7] => 1010100 => 3
[2,1,5,8,4,3,6,7] => 1001100 => 2
[5,8,3,2,7,1,4,6] => 0110100 => 2
[4,1,3,8,2,5,6,7] => 1001000 => 2
[3,5,8,2,7,1,4,6] => 0010100 => 2
[4,5,8,2,6,1,3,7] => 0010100 => 2
[2,6,8,3,7,1,4,5] => 0010100 => 2
[5,1,8,3,7,2,4,6] => 1010100 => 3
[5,1,8,4,6,2,3,7] => 1010100 => 3
[5,8,4,1,6,2,3,7] => 0110100 => 2
[4,5,8,1,6,2,3,7] => 0010100 => 2
[5,4,8,1,6,2,3,7] => 1010100 => 3
[4,8,5,1,6,2,3,7] => 0110100 => 2
[2,1,5,4,8,3,6,7] => 1010100 => 3
[2,4,3,8,1,5,6,7] => 0101000 => 2
[3,1,8,4,2,5,6,7] => 1011000 => 2
[3,8,4,2,1,5,6,7] => 0111000 => 1
[2,3,8,4,1,5,6,7] => 0011000 => 1
[3,4,2,8,1,5,6,7] => 0101000 => 2
[3,8,5,2,7,1,4,6] => 0110100 => 2
[4,8,5,2,6,1,3,7] => 0110100 => 2
[2,1,4,8,5,3,6,7] => 1001100 => 2
[3,2,8,4,1,5,6,7] => 1011000 => 2
[2,8,4,3,1,5,6,7] => 0111000 => 1
[4,1,7,5,6,2,8,3] => 1010101 => 3
[5,7,4,3,8,1,6,2] => 0110101 => 2
[5,7,4,3,8,2,6,1] => 0110101 => 2
[3,8,4,2,6,7,5,1] => 0110011 => 1
[3,8,4,1,6,7,5,2] => 0110011 => 1
[6,1,7,5,2,8,4,3] => 1011011 => 2
[5,6,4,3,2,8,1,7] => 0111010 => 2
[2,6,7,5,3,8,4,1] => 0011011 => 1
[6,7,4,8,2,5,3,1] => 0101011 => 2
[2,1,6,7,5,3,8,4] => 1001101 => 2
[3,8,4,2,1,6,7,5] => 0111001 => 1
[5,7,4,3,8,2,1,6] => 0110110 => 2
[6,7,4,8,1,2,5,3] => 0101001 => 2
[6,7,5,8,1,2,4,3] => 0101001 => 2
[6,7,4,8,3,1,2,5] => 0101100 => 2
[3,4,8,1,2,5,7,6] => 0010001 => 1
[6,1,3,4,8,2,5,7] => 1000100 => 2
[6,2,3,4,8,1,5,7] => 1000100 => 2
[3,4,8,2,1,5,7,6] => 0011001 => 1
[6,7,5,8,2,4,3,1] => 0101011 => 2
[6,7,5,8,3,1,4,2] => 0101101 => 2
[3,4,8,1,5,7,6,2] => 0010011 => 1
[2,5,7,6,1,4,8,3] => 0011001 => 1
[6,7,4,8,2,3,5,1] => 0101001 => 2
[6,7,4,8,1,3,5,2] => 0101001 => 2
[2,6,7,5,1,3,8,4] => 0011001 => 1
[6,3,1,4,8,2,5,7] => 1100100 => 2
[6,7,4,8,1,3,2,5] => 0101010 => 3
[6,7,5,8,4,1,3,2] => 0101101 => 2
[6,7,4,8,2,1,3,5] => 0101100 => 2
[6,7,4,8,1,2,3,5] => 0101000 => 2
[1,5,6,3,4,8,2,7] => 0010010 => 2
[1,4,3,6,5,8,2,7] => 0101010 => 3
[8,1,3,4,7,2,6,5] => 1000101 => 2
[5,1,7,3,4,8,2,6] => 1010010 => 3
[6,7,8,2,3,5,4,1] => 0010011 => 1
[5,8,6,2,3,7,4,1] => 0110011 => 1
[2,8,3,4,7,5,6,1] => 0100101 => 2
[1,8,3,4,7,6,2,5] => 0100110 => 2
[8,7,2,3,6,5,4,1] => 1100111 => 1
[3,8,1,7,5,2,6,4] => 0101101 => 2
[4,8,1,6,7,2,5,3] => 0100101 => 2
[2,1,3,8,4,6,5,7] => 1001010 => 3
[8,2,1,7,4,3,6,5] => 1101101 => 2
[1,3,2,8,5,4,6,7] => 0101100 => 2
[8,3,1,5,7,2,6,4] => 1100101 => 2
[8,4,5,1,7,2,6,3] => 1010101 => 3
[1,5,6,8,7,4,2,3] => 0001110 => 1
[8,4,5,7,6,3,2,1] => 1001111 => 1
[1,4,8,5,7,6,2,3] => 0010110 => 2
[2,4,8,5,7,3,6,1] => 0010101 => 2
[4,3,8,6,5,7,2,1] => 1011011 => 2
[6,7,2,8,5,3,4,1] => 0101101 => 2
[5,2,7,8,6,3,4,1] => 1001101 => 2
[4,2,8,6,7,3,5,1] => 1010101 => 3
[3,2,8,7,5,4,6,1] => 1011101 => 2
[3,1,8,7,5,6,2,4] => 1011010 => 3
[4,1,8,6,7,5,2,3] => 1010110 => 3
[5,1,7,8,6,4,2,3] => 1001110 => 2
[6,7,1,8,5,4,2,3] => 0101110 => 2
[7,8,3,2,6,1,4,5] => 0110100 => 2
[3,4,8,2,6,1,7,5] => 0010101 => 2
[7,8,4,1,5,6,3,2] => 0110011 => 1
[7,8,1,4,5,6,3,2] => 0100011 => 1
[7,8,1,2,6,3,4,5] => 0100100 => 2
[7,8,5,1,4,6,3,2] => 0110011 => 1
[7,8,4,5,1,6,3,2] => 0101011 => 2
[5,3,8,4,1,6,7,2] => 1011001 => 2
[6,2,4,8,1,5,3,7] => 1001010 => 3
[3,4,8,5,1,6,7,2] => 0011001 => 1
[3,5,8,1,4,6,7,2] => 0010001 => 1
[1,4,8,2,6,3,7,5] => 0010101 => 2
[5,3,8,1,4,6,7,2] => 1010001 => 2
[4,2,6,8,1,5,3,7] => 1001010 => 3
[7,4,2,8,1,5,3,6] => 1101010 => 3
[6,1,7,5,8,4,3,2] => 1010111 => 2
[6,2,1,8,4,5,3,7] => 1101010 => 3
[1,2,7,8,5,3,4,6] => 0001100 => 1
[6,3,7,8,5,4,1,2] => 1001110 => 2
[6,1,5,7,8,4,3,2] => 1000111 => 1
[1,7,5,6,8,4,3,2] => 0100111 => 1
[3,1,8,4,5,6,7,2] => 1010001 => 2
[2,1,4,8,6,5,3,7] => 1001110 => 2
[2,4,1,8,6,5,3,7] => 0101110 => 2
[4,2,1,8,6,5,3,7] => 1101110 => 2
[3,2,7,8,5,1,4,6] => 1001100 => 2
[2,3,7,8,5,1,4,6] => 0001100 => 1
[2,7,3,8,5,1,4,6] => 0101100 => 2
[3,6,2,8,5,1,4,7] => 0101100 => 2
[4,1,2,8,7,5,3,6] => 1001110 => 2
[1,4,2,8,7,5,3,6] => 0101110 => 2
[7,3,6,8,5,4,1,2] => 1001110 => 2
[7,2,1,8,5,3,4,6] => 1101100 => 2
[1,2,6,8,4,5,3,7] => 0001010 => 2
[7,1,6,5,8,4,3,2] => 1010111 => 2
[6,5,7,1,8,4,3,2] => 1010111 => 2
[5,7,6,1,8,4,3,2] => 0110111 => 1
[6,7,1,5,8,4,3,2] => 0100111 => 1
[6,7,3,8,5,4,1,2] => 0101110 => 2
[7,1,2,8,4,5,3,6] => 1001010 => 3
[7,6,1,5,8,4,3,2] => 1100111 => 1
[7,5,6,1,8,4,3,2] => 1010111 => 2
[9,10,7,8,5,6,2,1,3,4] => 010101100 => 3
[9,10,7,8,4,3,5,6,1,2] => 010110010 => 3
[9,10,7,8,4,2,5,1,3,6] => 010110100 => 3
[9,10,7,8,3,2,1,4,5,6] => 010111000 => 2
[9,10,6,5,7,8,3,4,1,2] => 011001010 => 3
[9,10,6,5,7,8,2,1,3,4] => 011001100 => 2
[9,10,6,4,7,3,5,8,1,2] => 011010010 => 3
[9,10,6,4,7,2,5,1,3,8] => 011010100 => 3
[9,10,6,3,7,2,1,4,5,8] => 011011000 => 2
[9,10,5,4,3,6,7,8,1,2] => 011100010 => 2
[9,10,5,4,2,6,7,1,3,8] => 011100100 => 2
[9,10,5,3,2,6,1,4,7,8] => 011101000 => 2
[9,10,4,3,2,1,5,6,7,8] => 011110000 => 1
[8,7,9,10,5,6,3,4,1,2] => 100101010 => 4
[8,7,9,10,5,6,2,1,3,4] => 100101100 => 3
[8,7,9,10,4,3,5,6,1,2] => 100110010 => 3
[8,7,9,10,4,2,5,1,3,6] => 100110100 => 3
[8,7,9,10,3,2,1,4,5,6] => 100111000 => 2
[8,6,9,5,7,10,3,4,1,2] => 101001010 => 4
[8,6,9,5,7,10,2,1,3,4] => 101001100 => 3
[8,6,9,4,7,3,5,10,1,2] => 101010010 => 4
[8,6,9,3,7,2,1,4,5,10] => 101011000 => 3
[8,5,9,4,3,6,7,10,1,2] => 101100010 => 3
[8,5,9,4,2,6,7,1,3,10] => 101100100 => 3
[8,5,9,3,2,6,1,4,7,10] => 101101000 => 3
[8,4,9,3,2,1,5,6,7,10] => 101110000 => 2
[7,6,5,8,9,10,3,4,1,2] => 110001010 => 3
[7,6,5,8,9,10,2,1,3,4] => 110001100 => 2
[7,6,4,8,9,3,5,10,1,2] => 110010010 => 3
[7,6,4,8,9,2,5,1,3,10] => 110010100 => 3
[7,6,3,8,9,2,1,4,5,10] => 110011000 => 2
[7,5,4,8,3,6,9,10,1,2] => 110100010 => 3
[7,5,4,8,2,6,9,1,3,10] => 110100100 => 3
[7,4,3,8,2,1,5,6,9,10] => 110110000 => 2
[6,5,4,3,7,8,9,10,1,2] => 111000010 => 2
[6,5,4,2,7,8,9,1,3,10] => 111000100 => 2
[6,5,3,2,7,8,1,4,9,10] => 111001000 => 2
[10,9,11,12,7,8,5,6,3,4,1,2] => 10010101010 => 5
[10,8,11,7,9,12,5,6,3,4,1,2] => 10100101010 => 5
[10,8,11,6,9,5,7,12,3,4,1,2] => 10101001010 => 5
[10,8,11,6,9,4,7,3,5,12,1,2] => 10101010010 => 5
[7,1,6,5,3,2,4,8] => 1011100 => 2
[1,8,7,5,3,2,4,6] => 0111100 => 1
[1,8,7,4,2,5,3,6] => 0111010 => 2
[8,7,4,2,5,3,6,1] => 1110101 => 2
[7,1,6,4,2,5,3,8] => 1011010 => 3
[2,6,5,4,7,1,3,8] => 0110100 => 2
[7,1,5,3,6,4,2,8] => 1010110 => 3
[5,3,7,1,6,4,2,8] => 1010110 => 3
[5,3,6,4,2,7,1,8] => 1011010 => 3
[1,5,3,8,7,4,2,6] => 0101110 => 2
[7,4,2,8,6,3,5,1] => 1101101 => 2
[5,3,6,1,8,7,4,2] => 1010111 => 2
[6,1,5,3,8,7,4,2] => 1010111 => 2
[2,8,7,5,4,6,1,3] => 0111010 => 2
[2,3,1,8,7,5,4,6] => 0101110 => 2
[5,3,8,7,4,2,1,6] => 1011110 => 2
[7,4,2,1,8,6,3,5] => 1110110 => 2
[8,6,3,5,7,4,2,1] => 1100111 => 1
[1,8,6,3,5,7,4,2] => 0110011 => 1
[6,3,8,5,2,1,7,4] => 1011101 => 2
[8,6,3,7,4,2,1,5] => 1101110 => 2
[2,8,6,4,7,5,1,3] => 0110110 => 2
[5,1,8,6,3,7,4,2] => 1011011 => 2
[6,3,7,4,1,8,5,2] => 1011011 => 2
[8,5,2,6,3,7,4,1] => 1101011 => 2
[6,1,8,7,4,2,5,3] => 1011101 => 2
[8,6,3,7,4,2,5,1] => 1101101 => 2
[1,8,6,3,2,4,7,5] => 0111001 => 1
[8,6,3,2,4,7,5,1] => 1110011 => 1
[7,5,1,8,6,3,2,4] => 1101110 => 2
[6,1,8,7,5,3,2,4] => 1011110 => 2
[4,3,2,8,7,6,1,5] => 1101110 => 2
[2,4,5,1,3,8,7,6] => 0010011 => 1
[7,5,8,6,3,2,4,1] => 1011101 => 2
[1,7,5,8,6,3,2,4] => 0101110 => 2
[1,7,4,2,5,8,6,3] => 0110011 => 1
[8,6,3,1,7,4,2,5] => 1110110 => 2
[8,7,4,2,5,3,1,6] => 1110110 => 2
[5,3,1,8,7,4,2,6] => 1101110 => 2
[4,1,8,7,5,3,2,6] => 1011110 => 2
[2,8,6,4,1,3,7,5] => 0111001 => 1
[4,1,8,6,3,2,7,5] => 1011101 => 2
[7,4,2,8,6,3,1,5] => 1101110 => 2
[6,3,1,8,5,2,7,4] => 1101101 => 2
[8,5,2,6,3,1,7,4] => 1101101 => 2
[7,4,8,5,2,6,3,1] => 1011011 => 2
[1,8,5,2,7,4,6,3] => 0110101 => 2
[8,5,2,7,4,6,3,1] => 1101011 => 2
[7,4,6,3,1,8,5,2] => 1011011 => 2
[6,3,1,7,4,8,5,2] => 1101011 => 2
[8,6,3,1,5,7,4,2] => 1110011 => 1
[4,1,7,5,8,6,3,2] => 1010111 => 2
[2,3,1,7,5,8,6,4] => 0101011 => 2
[7,4,8,5,2,1,6,3] => 1011101 => 2
[8,5,2,1,7,4,6,3] => 1110101 => 2
[1,7,4,6,3,8,5,2] => 0101011 => 2
[3,6,5,2,1,4,8,7] => 0111001 => 1
[3,5,6,2,1,4,8,7] => 0011001 => 1
[3,5,7,8,1,4,2,6] => 0001010 => 2
[4,1,8,5,7,3,2,6] => 1010110 => 3
[4,1,7,5,8,3,2,6] => 1010110 => 3
[2,1,5,8,7,4,3,6] => 1001110 => 2
[2,1,5,7,8,4,3,6] => 1000110 => 2
[5,1,7,4,8,3,2,6] => 1010110 => 3
[4,7,2,8,3,6,1,5] => 0101010 => 3
[4,6,2,7,3,1,8,5] => 0101101 => 2
[3,7,8,2,4,1,6,5] => 0010101 => 2
[3,8,7,2,4,1,6,5] => 0110101 => 2
[3,8,6,2,4,1,7,5] => 0110101 => 2
[1,3,2,7,6,5,10,9,8,4] => 010110111 => 2
[1,4,3,6,5,2,10,9,8,7] => 010110111 => 2
[1,4,3,7,6,2,10,9,8,5] => 010110111 => 2
[1,5,4,7,6,3,10,9,8,2] => 010110111 => 2
[1,4,3,8,7,2,10,9,6,5] => 010110111 => 2
[1,5,4,8,7,3,10,9,6,2] => 010110111 => 2
[2,3,1,6,5,4,10,9,8,7] => 010110111 => 2
[2,3,1,7,6,5,10,9,8,4] => 010110111 => 2
[2,4,1,6,5,3,10,9,8,7] => 010110111 => 2
[2,4,1,7,6,3,10,9,8,5] => 010110111 => 2
[2,5,1,7,6,4,10,9,8,3] => 010110111 => 2
[2,4,1,8,7,3,10,9,6,5] => 010110111 => 2
[2,5,1,8,7,4,10,9,6,3] => 010110111 => 2
[3,4,2,6,5,1,10,9,8,7] => 010110111 => 2
[3,4,2,7,6,1,10,9,8,5] => 010110111 => 2
[3,5,2,7,6,1,10,9,8,4] => 010110111 => 2
[4,5,3,7,6,2,10,9,8,1] => 010110111 => 2
[3,4,2,8,7,1,10,9,6,5] => 010110111 => 2
[3,5,2,8,7,1,10,9,6,4] => 010110111 => 2
[4,5,3,8,7,2,10,9,6,1] => 010110111 => 2
[2,5,1,6,4,3,10,9,8,7] => 010110111 => 2
[2,5,1,7,4,3,10,9,8,6] => 010110111 => 2
[2,6,1,7,5,4,10,9,8,3] => 010110111 => 2
[2,5,1,8,4,3,10,9,7,6] => 010110111 => 2
[2,6,1,8,5,4,10,9,7,3] => 010110111 => 2
[3,5,2,6,4,1,10,9,8,7] => 010110111 => 2
[3,5,2,7,4,1,10,9,8,6] => 010110111 => 2
[3,6,2,7,5,1,10,9,8,4] => 010110111 => 2
[4,6,3,7,5,2,10,9,8,1] => 010110111 => 2
[3,5,2,8,4,1,10,9,7,6] => 010110111 => 2
[3,6,2,8,5,1,10,9,7,4] => 010110111 => 2
[4,6,3,8,5,2,10,9,7,1] => 010110111 => 2
[3,7,2,8,6,1,10,9,5,4] => 010110111 => 2
[4,7,3,8,6,2,10,9,5,1] => 010110111 => 2
[2,5,1,9,4,3,10,8,7,6] => 010110111 => 2
[2,6,1,9,5,4,10,8,7,3] => 010110111 => 2
[3,5,2,9,4,1,10,8,7,6] => 010110111 => 2
[3,6,2,9,5,1,10,8,7,4] => 010110111 => 2
[4,6,3,9,5,2,10,8,7,1] => 010110111 => 2
[3,7,2,9,6,1,10,8,5,4] => 010110111 => 2
[6,2,8,4,1,7,3,5] => 1011010 => 3
[7,3,4,8,1,6,2,5] => 1001010 => 3
[6,3,4,8,1,7,2,5] => 1001010 => 3
[5,3,4,8,1,2,7,6] => 1001001 => 2
[4,3,5,8,1,2,7,6] => 1001001 => 2
[1,8,5,4,2,3,7,6] => 0111001 => 1
[3,5,4,8,1,2,7,6] => 0101001 => 2
[4,5,3,8,1,2,7,6] => 0101001 => 2
[6,4,3,8,1,7,2,5] => 1101010 => 3
[7,4,3,8,1,6,2,5] => 1101010 => 3
[6,5,3,8,7,1,2,4] => 1101100 => 2
[5,6,3,8,7,1,2,4] => 0101100 => 2
[4,6,3,8,1,7,2,5] => 0101010 => 3
[2,6,8,4,1,7,3,5] => 0011010 => 2
[1,8,7,4,2,6,3,5] => 0111010 => 2
[5,7,3,8,6,1,2,4] => 0101100 => 2
[3,7,5,8,6,1,2,4] => 0101100 => 2
[2,7,8,5,6,1,3,4] => 0010100 => 2
[1,8,7,5,6,2,3,4] => 0110100 => 2
[2,6,8,5,7,1,3,4] => 0010100 => 2
[5,3,6,8,7,1,2,4] => 1001100 => 2
[6,3,5,8,7,1,2,4] => 1001100 => 2
[7,2,8,5,6,1,3,4] => 1010100 => 3
[5,2,8,6,7,1,3,4] => 1010100 => 3
[1,8,3,2,7,6,4,5] => 0110110 => 2
[5,2,8,7,6,1,3,4] => 1011100 => 2
[6,2,8,7,5,1,3,4] => 1011100 => 2
[3,4,7,8,1,6,2,5] => 0001010 => 2
[1,8,5,7,6,2,3,4] => 0101100 => 2
[2,5,8,7,6,1,3,4] => 0011100 => 1
[7,4,6,5,8,1,2,3] => 1010100 => 3
[3,6,7,8,5,1,2,4] => 0001100 => 1
[2,6,8,7,5,1,3,4] => 0011100 => 1
[1,8,6,7,5,2,3,4] => 0101100 => 2
[2,7,8,6,5,1,3,4] => 0011100 => 1
[5,7,6,4,8,1,2,3] => 0110100 => 2
[6,3,8,7,5,1,2,4] => 1011100 => 2
[2,8,7,4,1,3,5,6] => 0111000 => 1
[5,4,8,7,1,3,2,6] => 1011010 => 3
[4,8,6,1,3,2,5,7] => 0110100 => 2
[5,4,2,7,6,8,1,3] => 1101010 => 3
[2,8,7,1,4,5,3,6] => 0110010 => 2
[4,2,1,8,7,3,5,6] => 1101100 => 2
[5,1,6,3,2,8,7,4] => 1011011 => 2
[4,6,1,8,7,3,2,5] => 0101110 => 2
[8,7,2,3,5,4,1,6] => 1100110 => 2
[5,3,1,4,8,7,2,6] => 1100110 => 2
[4,3,5,2,8,7,1,6] => 1010110 => 3
[3,4,2,8,6,1,5,7] => 0101100 => 2
[3,7,6,8,1,5,2,4] => 0101010 => 3
[8,1,4,2,3,6,7,5] => 1010001 => 2
[3,7,2,1,8,6,4,5] => 0110110 => 2
[2,8,6,1,7,3,5,4] => 0110101 => 2
[1,7,6,3,5,8,2,4] => 0110010 => 2
[3,7,5,1,6,8,2,4] => 0110010 => 2
[3,6,5,8,1,4,7,2] => 0101001 => 2
[8,1,5,6,4,7,2,3] => 1001010 => 3
[3,6,7,4,1,8,2,5] => 0011010 => 2
[1,7,4,6,8,2,5,3] => 0100101 => 2
[7,5,8,2,6,3,1,4] => 1010110 => 3
[2,7,1,6,5,4,8,3] => 0101101 => 2
[7,3,2,6,1,8,5,4] => 1101011 => 2
[6,4,7,2,3,1,8,5] => 1010101 => 3
[5,3,1,8,4,6,2,7] => 1101010 => 3
[3,8,1,6,7,4,2,5] => 0100110 => 2
[2,7,4,3,6,8,1,5] => 0110010 => 2
[2,8,4,6,1,5,3,7] => 0101010 => 3
[8,4,1,6,3,2,5,7] => 1101100 => 2
[4,7,3,8,5,2,1,6] => 0101110 => 2
[3,1,7,4,8,5,2,6] => 1010110 => 3
[7,4,1,6,3,2,8,5] => 1101101 => 2
[3,8,6,2,7,4,1,5] => 0110110 => 2
[7,3,1,4,5,2,8,6] => 1100101 => 2
[6,1,4,8,5,3,2,7] => 1001110 => 2
[8,1,2,4,6,7,5,3] => 1000011 => 1
[8,1,3,6,7,5,4,2] => 1000111 => 1
[7,5,2,3,8,6,1,4] => 1100110 => 2
[8,6,2,4,1,3,7,5] => 1101001 => 2
[4,7,5,1,8,6,3,2] => 0110111 => 1
[4,7,3,2,8,5,6,1] => 0110101 => 2
[8,4,5,7,6,1,3,2] => 1001101 => 2
[7,5,8,4,2,3,6,1] => 1011001 => 2
[3,8,4,6,1,7,5,2] => 0101011 => 2
[3,7,4,6,5,2,8,1] => 0101101 => 2
[4,2,7,6,1,5,8,3] => 1011001 => 2
[8,3,1,4,5,7,6,2] => 1100011 => 1
[3,5,1,6,8,4,7,2] => 0100101 => 2
[6,1,5,7,3,8,4,2] => 1001011 => 2
[5,8,4,7,3,2,6,1] => 0101101 => 2
[7,2,6,5,8,4,1,3] => 1010110 => 3
[8,3,2,5,1,6,7,4] => 1101001 => 2
[2,6,8,3,7,4,1,5] => 0010110 => 2
[8,1,5,6,4,7,3,2] => 1001011 => 2
[2,5,8,1,6,4,7,3] => 0010101 => 2
[7,4,1,8,3,2,6,5] => 1101101 => 2
[8,3,7,4,2,1,6,5] => 1011101 => 2
[5,2,6,8,3,1,7,4] => 1001101 => 2
[3,6,5,8,4,1,7,2] => 0101101 => 2
[7,3,6,1,8,4,5,2] => 1010101 => 3
[8,2,7,3,4,6,5,1] => 1010011 => 2
[7,3,8,2,5,6,4,1] => 1010011 => 2
[5,7,3,1,6,4,8,2] => 0110101 => 2
[6,1,3,2,4,8,7,5] => 1010011 => 2
[8,7,4,2,3,6,1,5] => 1110010 => 2
[8,7,1,5,4,2,3,6] => 1101100 => 2
[3,7,1,5,2,8,6,4] => 0101011 => 2
[8,7,2,5,4,1,3,6] => 1101100 => 2
[8,7,2,5,3,1,4,6] => 1101100 => 2
[5,2,8,7,1,4,3,6] => 1011010 => 3
[7,1,8,6,2,4,3,5] => 1011010 => 3
[8,1,6,2,7,5,3,4] => 1010110 => 3
[7,1,6,2,8,5,3,4] => 1010110 => 3
[6,3,4,1,7,2,8,5] => 1010101 => 3
[7,2,4,3,5,1,8,6] => 1010101 => 3
[5,1,7,2,3,8,6,4] => 1010011 => 2
[8,2,3,5,1,7,6,4] => 1001011 => 2
[7,6,3,1,4,8,2,5] => 1110010 => 2
[6,1,8,2,7,5,3,4] => 1010110 => 3
[7,2,8,1,6,5,3,4] => 1010110 => 3
[7,2,6,4,3,8,1,5] => 1011010 => 3
[5,1,7,4,3,8,2,6] => 1011010 => 3
[5,3,1,7,4,8,2,6] => 1101010 => 3
[7,4,8,2,1,5,3,6] => 1011010 => 3
[8,2,4,1,6,3,7,5] => 1010101 => 3
[8,2,7,5,1,6,4,3] => 1011011 => 2
[6,1,7,3,2,8,5,4] => 1011011 => 2
[4,7,2,1,6,3,8,5] => 0110101 => 2
[6,2,1,5,3,8,4,7] => 1101010 => 3
[5,3,1,6,2,8,4,7] => 1101010 => 3
[6,1,5,2,8,4,3,7] => 1010110 => 3
[7,4,3,8,1,5,2,6] => 1101010 => 3
[7,4,8,1,5,3,2,6] => 1010110 => 3
[6,1,5,3,2,8,4,7] => 1011010 => 3
[6,3,2,8,4,1,5,7] => 1101100 => 2
[7,3,4,2,8,5,1,6] => 1010110 => 3
[7,1,6,3,4,2,8,5] => 1010101 => 3
[8,5,1,3,7,4,2,6] => 1100110 => 2
[3,8,6,1,5,2,7,4] => 0110101 => 2
[8,6,1,3,7,5,2,4] => 1100110 => 2
[4,8,5,6,1,7,3,2] => 0101011 => 2
[6,7,1,3,8,5,2,4] => 0100110 => 2
[3,6,7,1,5,2,8,4] => 0010101 => 2
[7,1,3,8,4,2,6,5] => 1001101 => 2
[5,6,2,7,1,3,8,4] => 0101001 => 2
[5,6,2,8,1,3,7,4] => 0101001 => 2
[6,1,8,3,7,5,2,4] => 1010110 => 3
[7,4,2,1,5,8,3,6] => 1110010 => 2
[7,4,1,5,8,3,2,6] => 1100110 => 2
[7,3,2,6,4,8,1,5] => 1101010 => 3
[6,4,2,7,3,8,1,5] => 1101010 => 3
[5,1,8,3,7,4,2,6] => 1010110 => 3
[7,4,8,3,1,5,2,6] => 1011010 => 3
[5,2,1,7,4,8,3,6] => 1101010 => 3
[6,1,8,4,5,2,7,3] => 1010101 => 3
[7,1,6,4,5,2,8,3] => 1010101 => 3
[3,5,2,7,1,6,8,4] => 0101001 => 2
[4,5,7,3,1,6,8,2] => 0011001 => 1
[4,5,7,2,8,6,1,3] => 0010110 => 2
[3,5,1,7,2,6,8,4] => 0101001 => 2
[4,5,7,2,8,1,3,6] => 0010100 => 2
[4,6,7,2,1,5,8,3] => 0011001 => 1
[4,6,7,1,3,8,5,2] => 0010011 => 1
[3,6,1,5,7,8,4,2] => 0100011 => 1
[4,6,7,1,5,8,3,2] => 0010011 => 1
[6,1,3,7,4,8,5,2] => 1001011 => 2
[3,2,1,7,4,8,5,6] => 1101010 => 3
[4,1,5,2,7,6,3,8] => 1010110 => 3
[2,5,1,3,7,6,4,8] => 0100110 => 2
[2,5,1,4,3,8,6,7] => 0101010 => 3
[3,7,2,1,5,8,6,4] => 0110011 => 1
[6,2,7,1,4,8,5,3] => 1010011 => 2
[3,7,4,2,1,8,5,6] => 0111010 => 2
[7,2,5,3,1,8,6,4] => 1011011 => 2
[7,5,1,4,2,8,6,3] => 1101011 => 2
[7,5,4,1,3,8,6,2] => 1110011 => 1
[5,3,2,1,7,6,4,8] => 1110110 => 2
[6,3,2,8,1,5,7,4] => 1101001 => 2
[7,4,3,2,8,1,6,5] => 1110101 => 2
[7,6,2,4,8,3,5,1] => 1100101 => 2
[7,3,6,4,8,1,5,2] => 1010101 => 3
[2,7,5,3,8,1,4,6] => 0110100 => 2
[1,8,5,3,6,4,2,7] => 0110110 => 2
[8,6,2,3,7,5,4,1] => 1100111 => 1
[8,6,3,2,7,5,4,1] => 1110111 => 1
[8,3,2,7,1,6,4,5] => 1101010 => 3
[7,2,6,1,5,4,3,8] => 1010110 => 3
[8,5,7,4,3,6,2,1] => 1011011 => 2
[8,5,7,2,4,6,3,1] => 1010011 => 2
[8,4,6,7,1,3,2,5] => 1001010 => 3
[2,8,5,6,1,4,3,7] => 0101010 => 3
[7,2,6,8,4,1,5,3] => 1001101 => 2
[7,6,4,8,3,2,5,1] => 1101101 => 2
[6,5,8,1,4,2,7,3] => 1010101 => 3
[6,5,8,4,1,3,7,2] => 1011001 => 2
[5,4,8,3,2,1,7,6] => 1011101 => 2
[4,3,7,2,1,6,5,8] => 1011010 => 3
[2,5,8,1,4,3,7,6] => 0010101 => 2
[3,6,8,2,1,5,7,4] => 0011001 => 1
[5,7,4,8,1,3,6,2] => 0101001 => 2
[5,7,1,4,8,2,6,3] => 0100101 => 2
[2,7,4,1,8,3,6,5] => 0110101 => 2
[3,5,1,8,4,2,7,6] => 0101101 => 2
[4,1,5,7,3,6,2,8] => 1001010 => 3
[4,2,5,8,3,1,7,6] => 1001101 => 2
[6,1,2,7,8,3,5,4] => 1000101 => 2
[5,3,1,8,6,4,2,7] => 1101110 => 2
[3,1,8,4,7,5,2,6] => 1010110 => 3
[4,2,8,7,3,5,1,6] => 1011010 => 3
[4,8,1,7,6,2,3,5] => 0101100 => 2
[6,8,1,4,7,5,2,3] => 0100110 => 2
[7,3,8,1,6,4,2,5] => 1010110 => 3
[4,7,8,1,5,3,2,6] => 0010110 => 2
[7,1,8,6,2,5,3,4] => 1011010 => 3
[5,8,7,1,3,6,4,2] => 0110011 => 1
[3,8,7,2,1,6,4,5] => 0111010 => 2
[2,8,7,1,6,3,5,4] => 0110101 => 2
[3,7,6,1,5,4,2,8] => 0110110 => 2
[4,8,7,6,1,3,5,2] => 0111001 => 1
[5,8,7,2,6,1,4,3] => 0110101 => 2
[6,8,1,7,5,2,4,3] => 0101101 => 2
[7,3,8,6,5,1,2,4] => 1011100 => 2
[5,7,8,4,3,1,2,6] => 0011100 => 1
[5,8,6,4,3,2,1,7] => 0111110 => 1
[8,7,3,6,4,2,1,5] => 1101110 => 2
[6,1,4,2,5,3,7,8] => 1010100 => 3
[1,3,7,5,4,2,8,6] => 0011101 => 1
[6,1,3,5,4,2,7,8] => 1001100 => 2
[6,1,2,5,4,7,3,8] => 1001010 => 3
[5,1,6,3,4,7,8,2] => 1010001 => 2
[5,2,6,3,4,7,1,8] => 1010010 => 3
[3,4,7,5,8,6,1,2] => 0010110 => 2
[2,4,7,1,5,3,8,6] => 0010101 => 2
[2,3,6,7,4,8,1,5] => 0001010 => 2
[1,3,6,7,4,8,5,2] => 0001011 => 1
[2,7,6,5,3,1,8,4] => 0111101 => 1
[5,2,6,1,4,7,8,3] => 1010001 => 2
[4,7,6,5,2,1,8,3] => 0111101 => 1
[5,3,6,2,4,1,7,8] => 1010100 => 3
[5,7,4,2,1,3,6,8] => 0111000 => 1
[6,3,1,5,4,7,8,2] => 1101001 => 2
[5,3,6,1,4,2,7,8] => 1010100 => 3
[1,7,4,2,6,3,8,5] => 0110101 => 2
[5,7,4,1,2,3,6,8] => 0110000 => 1
[6,4,1,2,5,3,7,8] => 1100100 => 2
[4,7,6,3,8,5,1,2] => 0110110 => 2
[3,7,6,5,2,8,1,4] => 0111010 => 2
[3,7,6,5,1,2,8,4] => 0111001 => 1
[4,7,2,6,1,3,8,5] => 0101001 => 2
[2,7,1,6,8,3,5,4] => 0100101 => 2
[2,7,6,5,8,1,4,3] => 0110101 => 2
[9,1,2,3,4,5,6,8,7] => 10000001 => 1
[10,1,2,3,4,5,6,7,9,8] => 100000001 => 1
[9,1,2,3,4,5,7,8,6] => 10000001 => 1
[2,3,4,5,6,9,7,8,1] => 00000101 => 1
[2,3,4,5,6,7,8,10,9,1] => 000000011 => 0
[9,2,1,8,7,6,5,4,3] => 11011111 => 1
[2,11,10,9,8,7,6,5,4,3,1] => 0111111111 => 0
[3,2,10,9,8,7,6,5,4,1] => 101111111 => 1
[3,9,2,8,7,6,5,4,1] => 01011111 => 1
[4,2,9,8,7,6,5,3,1] => 10111111 => 1
[5,2,8,7,6,4,3,1] => 1011111 => 1
[8,2,7,6,1,5,4,3] => 1011011 => 2
[9,2,8,1,7,6,5,4,3] => 10101111 => 2
[8,4,1,7,6,5,3,2] => 1101111 => 1
[9,3,1,8,7,6,5,4,2] => 11011111 => 1
[10,2,1,9,8,7,6,5,4,3] => 110111111 => 1
[4,5,6,2,3,8,1,7] => 0010010 => 2
[4,5,3,2,7,8,1,6] => 0110010 => 2
[6,5,7,3,8,4,2,1] => 1010111 => 2
[6,8,7,2,4,3,5,1] => 0110101 => 2
[3,2,7,4,5,8,1,6] => 1010010 => 3
[6,8,1,5,2,4,3,7] => 0101010 => 3
[8,3,4,6,1,5,2,7] => 1001010 => 3
[2,3,4,7,5,8,1,6] => 0001010 => 2
[6,3,4,7,8,2,5,1] => 1000101 => 2
[5,3,7,4,8,6,1,2] => 1010110 => 3
[8,3,6,4,1,7,2,5] => 1011010 => 3
[1,3,7,4,8,6,2,5] => 0010110 => 2
[3,7,8,5,4,1,2,6] => 0011100 => 1
[5,4,3,1,7,8,2,6] => 1110010 => 2
[5,7,6,2,8,4,1,3] => 0110110 => 2
[6,1,7,5,8,3,4,2] => 1010101 => 3
[7,5,6,4,1,3,8,2] => 1011001 => 2
[1,5,6,8,4,7,3,2] => 0001011 => 1
[4,1,3,7,6,5,8,2] => 1001101 => 2
[3,4,1,7,5,8,6,2] => 0101011 => 2
[8,5,7,4,3,1,6,2] => 1011101 => 2
[6,8,5,1,7,2,4,3] => 0110101 => 2
[8,2,4,1,3,7,6,5] => 1010011 => 2
[7,8,3,6,2,1,4,5] => 0101100 => 2
[8,1,7,4,2,3,6,5] => 1011001 => 2
[1,8,7,2,3,5,6,4] => 0110001 => 1
[2,8,3,1,6,7,5,4] => 0110011 => 1
[8,2,3,1,5,7,6,4] => 1010011 => 2
[3,8,4,1,2,7,6,5] => 0110011 => 1
[5,4,7,2,3,6,8,1] => 1010001 => 2
[6,3,2,1,8,4,7,5] => 1110101 => 2
[2,3,7,4,1,8,5,6] => 0011010 => 2
[6,4,1,3,2,7,8,5] => 1101001 => 2
[2,7,8,5,1,3,6,4] => 0011001 => 1
[8,2,5,6,7,1,3,4] => 1000100 => 2
[2,8,5,4,7,6,1,3] => 0110110 => 2
[6,7,1,5,8,2,4,3] => 0100101 => 2
[4,8,7,6,2,3,5,1] => 0111001 => 1
[7,8,1,5,3,2,6,4] => 0101101 => 2
[6,5,7,3,8,2,1,4] => 1010110 => 3
[8,1,4,7,2,5,6,3] => 1001001 => 2
[7,3,4,6,1,5,8,2] => 1001001 => 2
[8,3,4,5,7,1,6,2] => 1000101 => 2
[4,2,6,8,3,1,5,7] => 1001100 => 2
[3,7,6,2,4,5,1,8] => 0110010 => 2
[2,3,6,5,8,1,4,7] => 0010100 => 2
[2,3,5,8,6,1,4,7] => 0001100 => 1
[4,2,3,8,6,1,5,7] => 1001100 => 2
[6,4,1,2,8,3,5,7] => 1100100 => 2
[1,2,3,7,4,6,8,5] => 0001001 => 1
[3,2,7,1,4,5,8,6] => 1010001 => 2
[2,1,5,3,8,7,4,6] => 1010110 => 3
[5,8,3,2,4,1,6,7] => 0110100 => 2
[4,2,7,1,8,3,5,6] => 1010100 => 3
[4,1,8,2,7,3,5,6] => 1010100 => 3
[1,2,7,5,3,8,4,6] => 0011010 => 2
[3,2,7,1,4,8,5,6] => 1010010 => 3
[1,2,3,7,6,8,4,5] => 0001010 => 2
[1,2,3,6,8,7,4,5] => 0000110 => 1
[1,2,3,7,8,4,6,5] => 0000101 => 1
[1,2,3,6,8,4,7,5] => 0000101 => 1
[1,2,3,7,8,6,4,5] => 0000110 => 1
[6,2,8,3,7,5,1,4] => 1010110 => 3
[4,2,8,3,7,5,6,1] => 1010101 => 3
[7,3,4,8,6,5,1,2] => 1001110 => 2
[5,3,4,8,7,2,6,1] => 1001101 => 2
[4,3,5,8,7,2,6,1] => 1001101 => 2
[4,6,3,8,5,7,2,1] => 0101011 => 2
[7,5,3,8,6,2,4,1] => 1101101 => 2
[2,6,8,3,7,4,5,1] => 0010101 => 2
[1,8,4,3,7,5,6,2] => 0110101 => 2
[2,5,8,3,7,4,6,1] => 0010101 => 2
[7,4,3,8,6,2,5,1] => 1101101 => 2
[3,5,4,8,7,2,6,1] => 0101101 => 2
[4,5,3,8,6,7,2,1] => 0101011 => 2
[3,6,7,8,4,5,2,1] => 0001011 => 1
[2,6,8,5,4,7,3,1] => 0011011 => 1
[1,8,5,6,4,7,3,2] => 0101011 => 2
[2,5,8,6,4,7,3,1] => 0011011 => 1
[7,4,6,5,8,3,2,1] => 1010111 => 2
[6,3,7,8,4,5,2,1] => 1001011 => 2
[4,3,7,8,5,6,2,1] => 1001011 => 2
[5,2,8,6,4,7,3,1] => 1011011 => 2
[4,2,8,6,5,7,3,1] => 1011011 => 2
[3,2,8,6,7,4,5,1] => 1010101 => 3
[2,3,8,7,5,4,6,1] => 0011101 => 1
[1,8,2,7,4,5,6,3] => 0101001 => 2
[7,2,8,6,3,4,5,1] => 1011001 => 2
[6,2,8,4,5,7,3,1] => 1010011 => 2
[5,2,8,4,6,7,3,1] => 1010011 => 2
[4,2,8,5,6,7,3,1] => 1010011 => 2
[4,3,6,8,5,7,2,1] => 1001011 => 2
[3,4,6,8,7,2,5,1] => 0001101 => 1
[7,3,5,8,6,2,4,1] => 1001101 => 2
[1,8,3,5,7,4,6,2] => 0100101 => 2
[2,7,8,4,5,6,3,1] => 0010011 => 1
[3,7,5,8,4,6,2,1] => 0101011 => 2
[5,7,4,6,8,3,2,1] => 0100111 => 1
[3,6,5,8,4,7,2,1] => 0101011 => 2
[2,6,8,4,5,7,3,1] => 0010011 => 1
[4,2,7,1,3,8,5,6] => 1010010 => 3
[4,2,5,1,3,8,6,7] => 1010010 => 3
[5,3,6,1,7,2,4,8] => 1010100 => 3
[3,7,1,2,5,8,6,4] => 0100011 => 1
[3,7,4,1,2,8,5,6] => 0110010 => 2
[7,5,1,3,4,8,6,2] => 1100011 => 1
[7,5,1,2,4,8,6,3] => 1100011 => 1
[6,4,2,3,7,1,5,8] => 1100100 => 2
[7,6,3,8,1,2,5,4] => 1101001 => 2
[7,4,2,3,8,1,6,5] => 1100101 => 2
[4,7,5,2,8,1,3,6] => 0110100 => 2
[8,2,6,3,7,1,4,5] => 1010100 => 3
[8,6,1,2,7,4,5,3] => 1100101 => 2
[8,4,7,1,2,3,6,5] => 1010001 => 2
[8,5,7,1,2,4,6,3] => 1010001 => 2
[8,5,7,1,3,4,6,2] => 1010001 => 2
[8,6,2,7,1,3,5,4] => 1101001 => 2
[3,8,5,6,1,2,4,7] => 0101000 => 2
[3,7,5,8,1,2,4,6] => 0101000 => 2
[7,6,4,8,1,3,5,2] => 1101001 => 2
[6,5,8,1,2,4,7,3] => 1010001 => 2
[3,6,8,1,2,5,7,4] => 0010001 => 1
[3,7,2,4,8,1,6,5] => 0100101 => 2
[4,6,3,8,1,2,5,7] => 0101000 => 2
[4,6,3,7,1,2,5,8] => 0101000 => 2
[4,1,7,8,2,3,6,5] => 1001001 => 2
[5,1,2,8,6,3,4,7] => 1001100 => 2
[5,3,8,1,6,2,4,7] => 1010100 => 3
[6,1,8,5,2,3,4,7] => 1011000 => 2
[6,1,7,5,2,3,4,8] => 1011000 => 2
[6,8,1,3,7,4,5,2] => 0100101 => 2
[7,2,8,1,6,3,4,5] => 1010100 => 3
[4,7,8,2,5,1,3,6] => 0010100 => 2
[6,8,2,7,1,4,5,3] => 0101001 => 2
[4,8,7,1,3,5,6,2] => 0110001 => 1
[3,8,7,1,2,4,6,5] => 0110001 => 1
[4,8,7,1,2,3,6,5] => 0110001 => 1
[5,8,7,1,2,4,6,3] => 0110001 => 1
[5,8,7,1,3,4,6,2] => 0110001 => 1
[7,1,8,6,2,3,5,4] => 1011001 => 2
[5,8,6,4,1,2,3,7] => 0111000 => 1
[7,8,4,1,2,5,3,6] => 0110010 => 2
[7,8,1,2,6,5,3,4] => 0100110 => 2
[1,4,8,2,7,5,3,6] => 0010110 => 2
[6,1,3,4,7,2,5,8] => 1000100 => 2
[7,8,2,1,6,3,5,4] => 0110101 => 2
[6,1,2,7,5,4,3,8] => 1001110 => 2
[1,2,8,7,5,4,3,6] => 0011110 => 1
[5,1,7,3,6,4,8,2] => 1010101 => 3
[6,2,1,5,7,4,3,8] => 1100110 => 2
[6,2,3,7,4,1,5,8] => 1001100 => 2
[3,4,8,7,5,6,1,2] => 0011010 => 2
[2,3,8,7,4,1,5,6] => 0011100 => 1
[2,7,3,8,6,4,1,5] => 0101110 => 2
[1,8,3,7,6,4,5,2] => 0101101 => 2
[5,2,7,1,4,6,8,3] => 1010001 => 2
[4,6,7,5,2,1,8,3] => 0011101 => 1
[6,3,1,4,5,7,8,2] => 1100001 => 1
[5,3,1,4,6,2,7,8] => 1100100 => 2
[5,1,2,4,7,6,8,3] => 1000101 => 2
[5,7,4,1,2,6,3,8] => 0110010 => 2
[4,8,1,2,6,7,3,5] => 0100010 => 2
[4,1,7,8,2,6,3,5] => 1001010 => 3
[1,2,8,7,6,5,3,4] => 0011110 => 1
[3,1,2,4,6,8,7,5] => 1000011 => 1
[3,1,8,4,5,7,6,2] => 1010011 => 2
[3,2,8,5,4,7,1,6] => 1011010 => 3
[4,2,8,1,5,3,7,6] => 1010101 => 3
[4,3,8,5,7,6,1,2] => 1010110 => 3
[4,8,2,1,6,3,7,5] => 0110101 => 2
[3,8,6,5,2,7,1,4] => 0111010 => 2
[3,8,5,6,1,7,4,2] => 0101011 => 2
[3,5,7,8,1,2,6,4] => 0001001 => 1
[3,7,8,5,2,1,6,4] => 0011101 => 1
[3,7,2,8,4,1,6,5] => 0101101 => 2
[2,8,1,7,4,6,5,3] => 0101011 => 2
[2,8,7,5,1,6,4,3] => 0111011 => 1
[2,8,6,7,5,1,4,3] => 0101101 => 2
[5,1,3,4,6,7,2,8] => 1000010 => 2
[1,3,4,8,7,5,2,6] => 0001110 => 1
[8,2,4,1,7,3,5,6] => 1010100 => 3
[8,6,1,4,2,3,7,5] => 1101001 => 2
[3,6,1,4,2,8,7,5] => 0101011 => 2
[1,6,8,4,3,7,2,5] => 0011010 => 2
[3,1,4,7,8,5,2,6] => 1000110 => 2
[6,1,7,4,3,8,2,5] => 1011010 => 3
[1,8,7,4,3,6,2,5] => 0111010 => 2
[7,4,1,3,8,2,6,5] => 1100101 => 2
[4,8,2,3,1,5,7,6] => 0101001 => 2
[4,8,6,2,1,3,7,5] => 0111001 => 1
[2,7,4,1,8,3,5,6] => 0110100 => 2
[1,7,8,4,2,3,6,5] => 0011001 => 1
[4,7,1,3,8,2,6,5] => 0100101 => 2
[8,7,1,3,4,2,6,5] => 1100101 => 2
[1,7,4,3,6,2,8,5] => 0110101 => 2
[3,8,6,4,5,2,1,7] => 0110110 => 2
[3,8,4,6,5,2,1,7] => 0101110 => 2
[2,4,3,7,5,8,1,6] => 0101010 => 3
[1,4,7,3,6,2,8,5] => 0010101 => 2
[1,8,3,4,2,6,7,5] => 0101001 => 2
[6,4,1,3,7,2,8,5] => 1100101 => 2
[8,1,4,3,6,2,7,5] => 1010101 => 3
[4,2,3,8,5,7,1,6] => 1001010 => 3
[2,8,5,7,3,4,1,6] => 0101010 => 3
[5,8,2,6,4,3,1,7] => 0101110 => 2
[7,2,5,8,4,3,1,6] => 1001110 => 2
[4,2,3,5,8,7,1,6] => 1000110 => 2
[8,2,3,5,4,7,1,6] => 1001010 => 3
[6,1,8,3,4,2,7,5] => 1010101 => 3
[1,8,6,4,2,3,7,5] => 0111001 => 1
[3,8,4,5,6,2,1,7] => 0100110 => 2
[2,4,3,5,7,8,1,6] => 0100010 => 2
[3,8,6,5,4,2,1,7] => 0111110 => 1
[6,3,1,4,2,8,7,5] => 1101011 => 2
[7,3,8,1,2,6,4,5] => 1010010 => 3
[7,1,4,5,3,2,6,8] => 1001100 => 2
[1,8,4,2,6,5,3,7] => 0110110 => 2
[5,1,4,8,6,3,2,7] => 1001110 => 2
[5,3,1,8,4,7,2,6] => 1101010 => 3
[4,3,8,1,5,7,2,6] => 1010010 => 3
[6,3,1,2,5,7,4,8] => 1100010 => 2
[7,1,4,2,6,5,3,8] => 1010110 => 3
[3,8,4,1,6,5,2,7] => 0110110 => 2
[7,5,3,6,4,8,2,1] => 1101011 => 2
[7,3,6,4,5,8,2,1] => 1010011 => 2
[8,7,2,4,5,1,6,3] => 1100101 => 2
[7,1,5,4,8,6,3,2] => 1010111 => 2
[2,7,5,4,8,6,3,1] => 0110111 => 1
[2,1,8,7,5,3,6,4] => 1011101 => 2
[5,8,3,7,4,1,6,2] => 0101101 => 2
[8,1,7,4,2,6,5,3] => 1011011 => 2
[5,6,3,1,8,4,7,2] => 0110101 => 2
[5,7,1,4,8,6,3,2] => 0100111 => 1
[3,5,7,4,8,6,2,1] => 0010111 => 1
[2,6,7,4,5,8,3,1] => 0010011 => 1
[6,1,7,4,5,8,3,2] => 1010011 => 2
[5,3,7,4,8,6,2,1] => 1010111 => 2
[8,5,3,6,1,4,7,2] => 1101001 => 2
[5,4,3,6,8,2,7,1] => 1100101 => 2
[6,5,3,7,4,8,2,1] => 1101011 => 2
[7,5,8,4,1,6,3,2] => 1011011 => 2
[2,7,8,4,5,1,6,3] => 0010101 => 2
[5,7,3,8,4,1,6,2] => 0101101 => 2
[5,6,3,8,1,4,7,2] => 0101001 => 2
[8,4,1,2,5,6,7,3] => 1100001 => 1
[3,7,8,4,1,6,5,2] => 0011011 => 1
[6,8,3,1,2,5,7,4] => 0110001 => 1
[8,7,1,4,5,2,6,3] => 1100101 => 2
[8,7,3,1,5,4,2,6] => 1110110 => 2
[3,6,2,1,5,4,8,7] => 0110101 => 2
[5,4,2,6,1,3,8,7] => 1101001 => 2
[3,2,6,5,1,4,8,7] => 1011001 => 2
[2,5,8,1,7,4,3,6] => 0010110 => 2
[6,8,2,7,4,3,1,5] => 0101110 => 2
[6,8,2,3,7,5,1,4] => 0100110 => 2
[7,6,2,5,4,8,1,3] => 1101010 => 3
[2,6,5,1,8,4,3,7] => 0110110 => 2
[4,2,7,3,1,8,5,6] => 1011010 => 3
[4,2,3,7,1,5,8,6] => 1001001 => 2
[5,2,7,3,8,6,1,4] => 1010110 => 3
[2,1,5,8,4,3,7,6] => 1001101 => 2
[5,8,4,2,6,7,1,3] => 0110010 => 2
[3,2,4,8,1,5,7,6] => 1001001 => 2
[2,4,8,3,1,7,5,6] => 0011010 => 2
[4,8,3,2,1,7,6,5] => 0111011 => 1
[4,1,3,7,2,6,8,5] => 1001001 => 2
[3,4,8,2,1,6,5,7] => 0011010 => 2
[6,8,3,7,2,1,5,4] => 0101101 => 2
[3,5,8,1,7,2,6,4] => 0010101 => 2
[5,1,7,4,6,8,3,2] => 1010011 => 2
[7,6,4,8,1,5,3,2] => 1101011 => 2
[5,3,7,1,8,2,6,4] => 1010101 => 3
[2,7,6,3,8,1,4,5] => 0110100 => 2
[2,1,7,6,4,8,3,5] => 1011010 => 3
[2,1,5,4,8,7,3,6] => 1010110 => 3
[5,4,8,7,2,6,1,3] => 1011010 => 3
[2,4,3,8,7,1,5,6] => 0101100 => 2
[3,4,1,8,6,2,7,5] => 0101101 => 2
[3,8,5,4,2,1,7,6] => 0111101 => 1
[4,8,6,5,2,7,1,3] => 0111010 => 2
[3,2,8,7,5,4,1,6] => 1011110 => 2
[2,8,6,5,4,3,1,7] => 0111110 => 1
[5,4,2,6,3,1,8,7] => 1101101 => 2
[6,5,2,1,3,4,8,7] => 1110001 => 1
[8,5,2,7,3,1,4,6] => 1101100 => 2
[7,3,6,5,2,8,4,1] => 1011011 => 2
[7,6,2,3,4,8,5,1] => 1100011 => 1
[8,7,5,3,1,4,2,6] => 1111010 => 2
[7,1,5,3,8,4,6,2] => 1010101 => 3
[6,7,2,3,5,8,4,1] => 0100011 => 1
[3,7,6,4,2,8,5,1] => 0111011 => 1
[2,1,7,6,4,8,5,3] => 1011011 => 2
[2,1,8,7,4,3,5,6] => 1011100 => 2
[5,8,3,7,2,1,4,6] => 0101100 => 2
[3,8,7,4,2,1,5,6] => 0111100 => 1
[7,8,2,3,5,1,4,6] => 0100100 => 2
[2,8,6,3,1,4,7,5] => 0111001 => 1
[8,1,6,3,2,4,5,7] => 1011000 => 2
[5,7,1,4,8,3,6,2] => 0100101 => 2
[6,1,7,5,4,8,3,2] => 1011011 => 2
[6,3,7,5,8,4,2,1] => 1010111 => 2
[7,6,1,5,8,3,4,2] => 1100101 => 2
[8,6,7,5,1,3,2,4] => 1011010 => 3
[8,5,2,6,1,7,3,4] => 1101010 => 3
[5,4,2,6,8,3,7,1] => 1100101 => 2
[6,5,2,8,1,4,3,7] => 1101010 => 3
[7,4,2,8,1,3,6,5] => 1101001 => 2
[2,7,8,4,5,1,3,6] => 0010100 => 2
[5,7,3,8,4,1,2,6] => 0101100 => 2
[2,4,8,1,5,6,3,7] => 0010010 => 2
[3,4,8,1,5,2,7,6] => 0010101 => 2
[3,6,8,4,1,2,7,5] => 0011001 => 1
[4,8,1,2,5,3,6,7] => 0100100 => 2
[8,1,2,4,3,5,6,7] => 1001000 => 2
[2,3,4,6,5,7,8,9,10,1] => 000100001 => 1
[2,3,5,6,4,7,8,9,1] => 00010001 => 1
[2,3,6,4,5,7,8,9,1] => 00100001 => 1
[9,1,2,4,5,3,6,7,8] => 10001000 => 2
[10,1,2,3,5,4,6,7,8,9] => 100010000 => 2
[5,8,7,4,6,3,2,1] => 0110111 => 1
[4,8,7,6,3,5,2,1] => 0111011 => 1
[3,8,7,6,5,2,4,1] => 0111101 => 1
[7,9,6,8,5,4,3,2,1] => 01011111 => 1
[5,8,4,7,6,3,2,1] => 0101111 => 1
[6,9,8,5,7,4,3,2,1] => 01101111 => 1
[6,8,5,4,7,3,2,1] => 0110111 => 1
[5,9,8,7,4,6,3,2,1] => 01110111 => 1
[3,8,7,6,2,5,4,1] => 0111011 => 1
[4,9,8,7,6,3,5,2,1] => 01111011 => 1
[4,8,7,6,3,2,5,1] => 0111101 => 1
[3,9,8,7,6,5,2,4,1] => 01111101 => 1
[3,8,7,6,5,2,1,4] => 0111110 => 1
[8,6,9,7,4,5,2,3,1] => 10110101 => 3
[8,6,9,4,7,5,2,3,1] => 10101101 => 3
[8,6,9,4,7,2,5,3,1] => 10101011 => 3
[8,6,9,4,7,3,5,1,2] => 10101010 => 4
[8,6,9,5,7,3,4,1,2] => 10101010 => 4
[8,7,9,5,6,3,4,1,2] => 10101010 => 4
[9,7,10,8,5,6,3,4,1,2] => 101101010 => 4
[8,6,4,9,7,5,2,3,1] => 11011101 => 2
[9,7,10,5,8,6,3,4,1,2] => 101011010 => 4
[8,6,9,4,2,7,5,3,1] => 10110111 => 2
[9,7,10,5,8,3,6,4,1,2] => 101010110 => 4
[8,6,9,4,7,2,1,5,3] => 10101101 => 3
[7,5,8,4,6,3,1,2] => 1010110 => 3
[8,6,9,4,7,3,5,2,1] => 10101011 => 3
[9,7,10,5,8,3,6,2,4,1] => 101010101 => 4
[8,6,9,5,7,2,4,1,3] => 10101010 => 4
[9,7,10,5,8,4,6,2,3,1] => 101010101 => 4
[7,6,8,2,5,1,4,3] => 1010101 => 3
[8,7,9,4,6,3,5,1,2] => 10101010 => 4
[9,7,10,6,8,4,5,2,3,1] => 101010101 => 4
[9,6,8,5,7,3,4,1,2] => 10101010 => 4
[9,8,10,6,7,4,5,2,3,1] => 101010101 => 4
[3,5,2,4,7,6,1,8] => 0100110 => 2
[3,5,4,7,2,6,1,8] => 0101010 => 3
[3,5,4,7,6,1,2,8] => 0101100 => 2
[3,5,4,7,6,1,8,2] => 0101101 => 2
[3,5,7,4,6,1,8,2] => 0010101 => 2
[3,5,7,4,6,1,2,8] => 0010100 => 2
[3,5,7,4,6,2,1,8] => 0010110 => 2
[3,2,5,7,4,6,1,8] => 1001010 => 3
[3,5,2,7,6,4,1,8] => 0101110 => 2
[3,5,7,2,6,4,1,8] => 0010110 => 2
[5,3,7,6,2,4,1,8] => 1011010 => 3
[5,3,7,6,1,2,8,4] => 1011001 => 2
[5,3,7,6,1,4,2,8] => 1011010 => 3
[5,3,7,6,4,1,2,8] => 1011100 => 2
[3,5,7,2,6,1,4,8] => 0010100 => 2
[3,5,2,7,6,1,4,8] => 0101100 => 2
[5,3,7,6,4,1,8,2] => 1011101 => 2
[3,7,5,4,1,8,2,6] => 0111010 => 2
[3,7,5,4,1,8,6,2] => 0111011 => 1
[3,7,5,1,4,8,6,2] => 0110011 => 1
[3,7,5,1,4,8,2,6] => 0110010 => 2
[3,5,7,1,2,6,8,4] => 0010001 => 1
[3,5,7,2,1,6,8,4] => 0011001 => 1
[3,5,2,7,1,6,4,8] => 0101010 => 3
[3,5,7,2,1,6,4,8] => 0011010 => 2
[5,3,7,1,6,2,4,8] => 1010100 => 3
[3,5,7,1,4,6,8,2] => 0010001 => 1
[3,5,7,1,4,6,2,8] => 0010010 => 2
[3,5,7,1,4,2,6,8] => 0010100 => 2
[3,5,7,2,1,4,6,8] => 0011000 => 1
[3,5,2,7,1,4,6,8] => 0101000 => 2
[3,2,5,7,4,1,6,8] => 1001100 => 2
[3,5,2,7,4,1,6,8] => 0101100 => 2
[3,5,7,4,2,1,6,8] => 0011100 => 1
[3,5,7,4,1,2,6,8] => 0011000 => 1
[3,5,4,7,1,6,8,2] => 0101001 => 2
[3,5,4,7,1,2,6,8] => 0101000 => 2
[3,5,4,7,2,1,6,8] => 0101100 => 2
[3,5,4,2,7,1,6,8] => 0110100 => 2
[3,2,5,4,7,1,6,8] => 1010100 => 3
[3,5,4,7,2,1,8,6] => 0101101 => 2
[3,5,4,7,1,2,8,6] => 0101001 => 2
[5,7,6,3,1,8,4,2] => 0111011 => 1
[5,7,6,3,1,8,2,4] => 0111010 => 2
[3,5,7,4,1,2,8,6] => 0011001 => 1
[3,5,7,4,2,1,8,6] => 0011101 => 1
[3,2,5,7,4,1,8,6] => 1001101 => 2
[3,2,5,7,1,4,8,6] => 1001001 => 2
[3,5,2,7,1,4,8,6] => 0101001 => 2
[3,5,7,2,1,4,8,6] => 0011001 => 1
[3,5,7,1,4,2,8,6] => 0010101 => 2
[3,7,5,2,1,8,6,4] => 0111011 => 1
[3,7,2,5,1,8,6,4] => 0101011 => 2
[3,2,7,5,1,8,6,4] => 1011011 => 2
[3,2,7,5,1,8,4,6] => 1011010 => 3
[3,7,2,5,1,8,4,6] => 0101010 => 3
[3,7,5,2,1,8,4,6] => 0111010 => 2
[6,1,2,5,7,4,8,3] => 1000101 => 2
[6,3,2,7,4,1,8,5] => 1101101 => 2
[2,1,7,5,8,4,6,3] => 1010101 => 3
[2,7,3,6,8,4,1,5] => 0100110 => 2
[2,1,8,3,4,7,5,6] => 1010010 => 3
[5,1,7,2,4,8,3,6] => 1010010 => 3
[3,4,2,6,7,1,8,5] => 0100101 => 2
[3,5,8,7,2,1,6,4] => 0011101 => 1
[1,3,4,5,6,7,9,2,8] => 00000010 => 1
[2,3,4,5,6,7,1,9,8] => 00000101 => 1
[2,1,4,5,6,7,8,9,3] => 10000001 => 1
[3,1,4,5,6,7,8,2,9] => 10000010 => 2
[5,8,3,4,1,7,6,2] => 0101011 => 2
[5,8,7,2,4,1,6,3] => 0110101 => 2
[3,8,6,4,1,7,5,2] => 0111011 => 1
[4,3,5,6,8,1,7,2] => 1000101 => 2
[3,7,6,4,1,8,5,2] => 0111011 => 1
[3,7,4,1,8,6,5,2] => 0110111 => 1
[3,8,4,1,7,6,5,2] => 0110111 => 1
[3,2,7,6,1,5,4,8] => 1011010 => 3
[3,2,8,7,6,1,5,4] => 1011101 => 2
[5,7,8,2,4,1,6,3] => 0010101 => 2
[4,2,5,8,1,6,7,3] => 1001001 => 2
[4,2,5,8,1,7,3,6] => 1001010 => 3
[5,8,2,4,1,6,3,7] => 0101010 => 3
[8,4,2,6,5,1,3,7] => 1101100 => 2
[3,2,6,8,1,5,4,7] => 1001010 => 3
[8,3,2,5,6,1,4,7] => 1100100 => 2
[3,2,8,6,7,1,5,4] => 1010101 => 3
[3,2,6,8,7,1,5,4] => 1001101 => 2
[3,2,6,7,1,5,4,8] => 1001010 => 3
[8,7,3,2,5,6,1,4] => 1110010 => 2
[7,2,8,1,5,3,6,4] => 1010101 => 3
[8,4,2,7,5,1,3,6] => 1101100 => 2
[7,4,2,8,5,1,3,6] => 1101100 => 2
[7,2,4,1,8,3,6,5] => 1010101 => 3
[3,2,8,5,7,1,4,6] => 1010100 => 3
[2,6,5,7,1,8,3,4] => 0101010 => 3
[2,5,1,8,7,4,3,6] => 0101110 => 2
[8,1,4,6,3,5,2,7] => 1001010 => 3
[8,3,5,4,1,6,2,7] => 1011010 => 3
[8,6,3,4,1,5,2,7] => 1101010 => 3
[5,4,7,6,8,2,3,1] => 1010101 => 3
[4,1,8,2,3,7,6,5] => 1010011 => 2
[2,1,8,5,3,4,7,6] => 1011001 => 2
[5,2,4,6,8,7,3,1] => 1000111 => 1
[1,6,8,3,4,5,7,2] => 0010001 => 1
[5,7,4,8,6,1,3,2] => 0101101 => 2
[5,4,2,6,7,8,1,3] => 1100010 => 2
[6,4,2,7,3,5,8,1] => 1101001 => 2
[7,4,1,8,3,5,6,2] => 1101001 => 2
[6,5,4,8,7,3,1,2] => 1101110 => 2
[8,7,4,2,1,3,6,5] => 1111001 => 1
[8,7,1,3,2,5,6,4] => 1101001 => 2
[6,8,2,3,1,7,5,4] => 0101011 => 2
[7,4,3,2,6,8,5,1] => 1110011 => 1
[2,7,4,3,8,5,6,1] => 0110101 => 2
[8,3,7,2,1,5,6,4] => 1011001 => 2
[5,7,8,2,4,3,1,6] => 0010110 => 2
[8,4,7,3,2,6,1,5] => 1011010 => 3
[8,3,1,6,7,4,2,5] => 1100110 => 2
[3,2,5,7,4,8,1,6] => 1001010 => 3
[8,2,7,3,4,1,5,6] => 1010100 => 3
[7,1,6,3,5,8,2,4] => 1010010 => 3
[2,8,5,6,7,1,4,3] => 0100101 => 2
[1,5,2,7,8,6,4,3] => 0100111 => 1
[2,6,8,5,1,4,7,3] => 0011001 => 1
[1,4,2,8,6,5,7,3] => 0101101 => 2
[3,5,1,6,8,7,2,4] => 0100110 => 2
[5,7,6,2,1,3,8,4] => 0111001 => 1
[2,5,8,7,4,1,6,3] => 0011101 => 1
[4,1,7,5,2,6,8,3] => 1011001 => 2
[7,6,2,4,5,1,8,3] => 1100101 => 2
[7,3,4,2,5,8,6,1] => 1010011 => 2
[8,7,4,2,5,1,6,3] => 1110101 => 2
[8,1,4,5,2,6,7,3] => 1001001 => 2
[5,2,4,8,6,7,1,3] => 1001010 => 3
[8,5,6,2,1,3,7,4] => 1011001 => 2
[4,2,1,5,6,7,8,3] => 1100001 => 1
[3,4,6,5,1,7,8,2] => 0011001 => 1
[7,3,5,2,4,6,1,8] => 1010010 => 3
[5,3,7,2,4,6,1,8] => 1010010 => 3
[3,7,5,2,4,6,1,8] => 0110010 => 2
[5,7,3,2,4,6,1,8] => 0110010 => 2
[1,5,3,2,4,7,6,8] => 0110010 => 2
[1,5,3,2,7,4,6,8] => 0110100 => 2
[5,7,3,2,1,4,6,8] => 0111000 => 1
[5,7,3,2,4,1,6,8] => 0110100 => 2
[3,7,2,5,4,1,6,8] => 0101100 => 2
[5,1,3,2,4,7,6,8] => 1010010 => 3
[5,1,3,2,7,4,6,8] => 1010100 => 3
[7,1,3,2,5,4,6,8] => 1010100 => 3
[1,7,3,2,5,4,6,8] => 0110100 => 2
[7,1,3,5,2,4,6,8] => 1001000 => 2
[5,1,3,7,2,4,6,8] => 1001000 => 2
[3,2,7,5,1,4,6,8] => 1011000 => 2
[3,7,5,1,2,4,6,8] => 0110000 => 1
[5,7,3,1,2,4,6,8] => 0110000 => 1
[1,5,3,7,2,4,6,8] => 0101000 => 2
[5,3,2,7,4,1,6,8] => 1101100 => 2
[5,3,2,4,7,1,6,8] => 1100100 => 2
[5,3,2,1,4,7,6,8] => 1110010 => 2
[5,3,2,1,7,4,6,8] => 1110100 => 2
[1,3,2,7,5,4,6,8] => 0101100 => 2
[1,3,7,2,5,4,6,8] => 0010100 => 2
[7,3,1,2,5,4,6,8] => 1100100 => 2
[5,3,1,2,7,4,6,8] => 1100100 => 2
[5,3,1,2,4,7,6,8] => 1100010 => 2
[3,2,5,1,4,7,6,8] => 1010010 => 3
[7,3,1,5,2,4,6,8] => 1101000 => 2
[1,3,7,5,2,4,6,8] => 0011000 => 1
[7,5,1,3,2,4,6,8] => 1101000 => 2
[5,7,1,3,2,4,6,8] => 0101000 => 2
[3,7,1,5,2,4,6,8] => 0101000 => 2
[3,7,1,2,5,4,6,8] => 0100100 => 2
[3,7,2,1,5,4,6,8] => 0110100 => 2
[3,2,1,7,5,4,6,8] => 1101100 => 2
[3,1,2,7,5,4,6,8] => 1001100 => 2
[3,1,7,2,5,4,6,8] => 1010100 => 3
[3,1,7,5,2,4,6,8] => 1011000 => 2
[7,1,5,3,2,4,6,8] => 1011000 => 2
[1,7,5,3,2,4,6,8] => 0111000 => 1
[1,2,3,4,5,7,9,6,8] => 00000010 => 1
[1,2,3,4,6,9,5,7,8] => 00000100 => 1
[1,2,3,5,9,4,6,7,8] => 00001000 => 1
[1,2,4,9,3,5,6,7,8] => 00010000 => 1
[1,3,9,2,4,5,6,7,8] => 00100000 => 1
[1,9,8,7,6,2,5,4,3] => 01111011 => 1
[2,9,8,7,1,6,5,4,3] => 01110111 => 1
[1,9,8,2,7,6,5,4,3] => 01101111 => 1
[1,9,2,8,7,6,5,4,3] => 01011111 => 1
[3,9,8,7,6,5,2,1,4] => 01111110 => 1
[1,10,9,8,7,6,5,2,4,3] => 011111101 => 1
[4,9,8,7,6,1,2,5,3] => 01111001 => 1
[1,10,9,8,7,6,2,5,4,3] => 011111011 => 1
[1,8,7,4,2,6,5,3] => 0111011 => 1
[5,9,8,7,1,2,6,4,3] => 01110011 => 1
[2,10,9,8,7,1,6,5,4,3] => 011110111 => 1
[2,8,5,1,7,6,4,3] => 0110111 => 1
[6,9,8,2,1,7,5,4,3] => 01110111 => 1
[1,10,9,8,2,7,6,5,4,3] => 011101111 => 1
[6,8,5,1,2,7,4,3] => 0110011 => 1
[7,9,1,2,8,6,5,4,3] => 01001111 => 1
[1,10,9,2,8,7,6,5,4,3] => 011011111 => 1
[8,1,2,9,7,6,5,4,3] => 10011111 => 1
[2,10,1,9,8,7,6,5,4,3] => 010111111 => 1
[3,10,9,8,7,6,5,2,1,4] => 011111110 => 1
[1,11,10,9,8,7,6,5,2,4,3] => 0111111101 => 1
[1,9,8,7,6,3,2,5,4] => 01111101 => 1
[4,10,9,8,7,6,1,2,5,3] => 011111001 => 1
[1,11,10,9,8,7,6,2,5,4,3] => 0111111011 => 1
[1,9,8,7,4,2,6,5,3] => 01111011 => 1
[4,9,8,7,6,3,2,1,5] => 01111110 => 1
[5,10,9,8,7,1,2,6,4,3] => 011110011 => 1
[2,8,1,4,7,6,5,3] => 0100111 => 1
[2,9,8,5,1,7,6,4,3] => 01110111 => 1
[5,9,8,7,4,1,2,6,3] => 01111001 => 1
[6,10,9,8,2,1,7,5,4,3] => 011110111 => 1
[1,9,6,2,8,7,5,4,3] => 01101111 => 1
[1,8,7,4,3,2,6,5] => 0111101 => 1
[6,9,8,5,1,2,7,4,3] => 01110011 => 1
[7,10,9,1,2,8,6,5,4,3] => 011001111 => 1
[1,7,2,9,8,6,5,4,3] => 01011111 => 1
[1,8,5,4,2,7,6,3] => 0111011 => 1
[7,9,6,2,1,8,5,4,3] => 01110111 => 1
[8,10,1,2,9,7,6,5,4,3] => 010011111 => 1
[2,11,10,1,9,8,7,6,5,4,3] => 0110111111 => 1
[8,7,1,2,9,6,5,4,3] => 11001111 => 1
[9,2,1,10,8,7,6,5,4,3] => 110111111 => 1
[1,11,2,10,9,8,7,6,5,4,3] => 0101111111 => 1
[7,5,3,4,2,8,1,6] => 1101010 => 3
[8,5,3,6,2,4,7,1] => 1101001 => 2
[8,5,6,3,7,4,2,1] => 1010111 => 2
[8,5,6,2,7,4,3,1] => 1010111 => 2
[8,7,6,3,4,1,5,2] => 1110101 => 2
[1,7,2,3,6,8,5,4] => 0100011 => 1
[3,5,6,4,8,2,7,1] => 0010101 => 2
[3,5,1,4,8,2,7,6] => 0100101 => 2
[1,7,5,4,8,2,6,3] => 0110101 => 2
[3,7,5,1,6,4,8,2] => 0110101 => 2
[2,7,5,4,8,1,3,6] => 0110100 => 2
[2,7,5,4,8,6,1,3] => 0110110 => 2
[1,7,5,4,8,6,3,2] => 0110111 => 1
[2,5,1,4,8,7,3,6] => 0100110 => 2
[3,6,4,2,8,7,1,5] => 0110110 => 2
[3,5,2,4,8,1,6,7] => 0100100 => 2
[3,5,6,4,8,1,2,7] => 0010100 => 2
[1,5,6,4,8,7,2,3] => 0010110 => 2
[3,6,4,1,8,7,2,5] => 0110110 => 2
[3,6,4,5,8,7,2,1] => 0100111 => 1
[1,6,4,3,8,5,2,7] => 0110110 => 2
[7,1,3,4,5,8,2,6] => 1000010 => 2
[7,6,1,4,5,3,8,2] => 1100101 => 2
[7,6,1,3,5,4,8,2] => 1100101 => 2
[7,1,3,2,5,8,4,6] => 1010010 => 3
[1,6,4,2,8,5,3,7] => 0110110 => 2
[7,6,5,8,2,4,3,1] => 1101011 => 2
[7,6,5,8,3,1,4,2] => 1101101 => 2
[2,6,4,3,8,1,7,5] => 0110101 => 2
[2,6,4,3,8,5,7,1] => 0110101 => 2
[7,2,3,1,5,8,6,4] => 1010011 => 2
[7,1,5,6,3,8,4,2] => 1001011 => 2
[7,3,6,5,1,4,8,2] => 1011001 => 2
[7,2,6,5,3,8,1,4] => 1011010 => 3
[7,2,3,1,4,8,6,5] => 1010011 => 2
[7,2,3,5,4,8,6,1] => 1001011 => 2
[2,6,4,5,8,1,7,3] => 0100101 => 2
[1,5,6,4,8,3,7,2] => 0010101 => 2
[2,5,6,4,8,3,1,7] => 0010110 => 2
[3,5,6,1,4,7,8,2] => 0010001 => 1
[7,6,1,3,4,5,8,2] => 1100001 => 1
[7,1,3,2,4,8,5,6] => 1010010 => 3
[7,6,1,5,3,4,8,2] => 1101001 => 2
[7,6,1,5,4,3,8,2] => 1101101 => 2
[1,6,4,5,8,3,2,7] => 0100110 => 2
[7,6,5,8,1,3,2,4] => 1101010 => 3
[3,4,6,8,7,2,1,5] => 0001110 => 1
[3,5,6,8,2,1,7,4] => 0001101 => 1
[4,2,1,5,3,7,8,6] => 1101001 => 2
[4,2,5,6,3,1,8,7] => 1001101 => 2
[3,5,6,8,1,7,2,4] => 0001010 => 2
[4,1,5,6,3,2,8,7] => 1001101 => 2
[4,5,3,1,7,2,8,6] => 0110101 => 2
[4,1,3,5,2,7,8,6] => 1001001 => 2
[2,5,4,7,3,8,6,1] => 0101011 => 2
[3,5,7,1,8,4,2,6] => 0010110 => 2
[4,1,5,3,2,7,8,6] => 1011001 => 2
[4,5,3,7,1,2,8,6] => 0101001 => 2
[4,3,6,1,2,7,5,8] => 1010010 => 3
[5,1,3,2,4,6,7,8] => 1010000 => 2
[3,6,1,7,4,5,2,8] => 0101010 => 3
[5,1,3,4,2,6,7,8] => 1001000 => 2
[5,3,1,4,2,6,7,8] => 1101000 => 2
[4,5,2,3,7,1,8,6] => 0100101 => 2
[4,2,6,1,3,7,5,8] => 1010010 => 3
[4,6,2,1,3,7,5,8] => 0110010 => 2
[3,6,2,1,7,4,8,5] => 0110101 => 2
[3,1,4,7,6,5,2,8] => 1001110 => 2
[3,6,2,7,1,5,8,4] => 0101001 => 2
[4,6,2,7,1,3,5,8] => 0101000 => 2
[3,5,7,1,8,2,6,4] => 0010101 => 2
[5,1,4,2,3,6,7,8] => 1010000 => 2
[3,6,1,7,2,5,8,4] => 0101001 => 2
[2,6,5,3,4,7,8,1] => 0110001 => 1
[3,6,1,7,5,4,2,8] => 0101110 => 2
[5,1,4,3,2,6,7,8] => 1011000 => 2
[5,4,1,3,2,6,7,8] => 1101000 => 2
[6,4,2,5,3,8,1,7] => 1101010 => 3
[4,6,2,3,5,1,8,7] => 0100101 => 2
[6,2,4,5,1,8,3,7] => 1001010 => 3
[8,2,6,7,1,4,5,3] => 1001001 => 2
[8,2,6,7,4,1,5,3] => 1001101 => 2
[4,6,2,3,5,8,1,7] => 0100010 => 2
[2,6,4,1,5,8,3,7] => 0110010 => 2
[2,8,1,6,7,4,5,3] => 0100101 => 2
[6,8,4,5,7,2,3,1] => 0100101 => 2
[2,8,6,1,4,7,5,3] => 0110011 => 1
[2,8,1,6,4,7,5,3] => 0101011 => 2
[2,6,1,4,8,5,3,7] => 0100110 => 2
[6,4,5,2,8,3,1,7] => 1010110 => 3
[4,2,3,6,1,8,5,7] => 1001010 => 3
[4,2,3,1,6,8,5,7] => 1010010 => 3
[4,2,3,8,6,1,7,5] => 1001101 => 2
[6,4,5,8,2,3,7,1] => 1001001 => 2
[8,6,7,2,4,5,1,3] => 1010010 => 3
[6,4,8,5,2,3,7,1] => 1011001 => 2
[4,2,8,3,1,6,7,5] => 1011001 => 2
[2,4,8,1,3,6,7,5] => 0010001 => 1
[2,4,1,8,3,6,7,5] => 0101001 => 2
[2,1,4,8,6,3,7,5] => 1001101 => 2
[6,4,8,2,5,3,7,1] => 1010101 => 3
[8,6,2,4,7,5,1,3] => 1100110 => 2
[4,6,8,2,3,5,7,1] => 0010001 => 1
[2,6,8,4,1,5,7,3] => 0011001 => 1
[2,6,8,1,4,5,7,3] => 0010001 => 1
[2,1,6,8,4,5,7,3] => 1001001 => 2
[2,8,1,4,6,7,3,5] => 0100010 => 2
[4,8,6,2,3,7,5,1] => 0110011 => 1
[8,4,2,6,7,3,1,5] => 1100110 => 2
[7,6,4,5,1,3,8,2] => 1101001 => 2
[1,6,7,5,3,4,8,2] => 0011001 => 1
[7,6,2,3,8,4,1,5] => 1100110 => 2
[1,6,7,5,8,2,3,4] => 0010100 => 2
[6,2,5,8,3,4,7,1] => 1001001 => 2
[6,2,3,8,7,4,1,5] => 1001110 => 2
[2,4,7,3,5,8,6,1] => 0010011 => 1
[2,5,3,7,1,8,4,6] => 0101010 => 3
[5,2,8,3,1,4,6,7] => 1011000 => 2
[4,8,2,3,6,5,7,1] => 0100101 => 2
[5,8,1,3,6,4,7,2] => 0100101 => 2
[5,8,1,4,3,6,2,7] => 0101010 => 3
[5,8,4,1,3,7,6,2] => 0110011 => 1
[6,4,5,3,8,1,7,2] => 1010101 => 3
[4,6,5,3,7,1,2,8] => 0110100 => 2
[4,5,1,3,6,2,8,7] => 0100101 => 2
[4,2,6,5,1,7,3,8] => 1011010 => 3
[4,3,5,7,2,1,6,8] => 1001100 => 2
[3,4,7,6,8,1,2,5] => 0010100 => 2
[3,4,6,2,5,8,7,1] => 0010011 => 1
[3,5,2,4,6,1,8,7] => 0100101 => 2
[4,2,5,1,6,8,3,7] => 1010010 => 3
[1,8,2,3,6,5,7,4] => 0100101 => 2
[4,2,8,3,5,7,1,6] => 1010010 => 3
[4,3,8,6,5,7,1,2] => 1011010 => 3
[1,3,7,2,6,5,8,4] => 0010101 => 2
[1,3,6,4,2,5,8,7] => 0011001 => 1
[1,5,4,7,3,6,8,2] => 0101001 => 2
[5,2,3,8,4,1,7,6] => 1001101 => 2
[7,5,3,4,8,2,1,6] => 1100110 => 2
[7,2,8,3,4,1,5,6] => 1010100 => 3
[7,4,3,8,5,2,6,1] => 1101101 => 2
[4,6,2,7,3,1,5,8] => 0101100 => 2
[7,6,3,8,2,4,5,1] => 1101001 => 2
[7,2,8,5,1,3,4,6] => 1011000 => 2
[1,5,3,7,6,8,4,2] => 0101011 => 2
[1,6,3,7,8,2,4,5] => 0100100 => 2
[1,4,3,7,8,5,2,6] => 0100110 => 2
[4,2,6,5,7,8,3,1] => 1010011 => 2
[4,2,6,7,5,8,1,3] => 1001010 => 3
[3,2,4,7,8,5,1,6] => 1000110 => 2
[3,2,6,7,8,1,4,5] => 1000100 => 2
[5,1,8,3,6,4,7,2] => 1010101 => 3
[3,6,8,5,7,2,1,4] => 0010110 => 2
[5,1,3,8,7,6,4,2] => 1001111 => 1
[3,8,5,6,1,7,2,4] => 0101010 => 3
[3,4,8,1,7,6,2,5] => 0010110 => 2
[4,7,6,8,5,1,3,2] => 0101101 => 2
[6,7,4,8,5,1,3,2] => 0101101 => 2
[6,4,8,3,1,7,5,2] => 1011011 => 2
[3,6,5,8,7,1,4,2] => 0101101 => 2
[5,7,4,8,2,6,3,1] => 0101011 => 2
[5,6,4,8,2,7,3,1] => 0101011 => 2
[6,5,3,8,2,7,4,1] => 1101011 => 2
[6,4,8,1,3,7,5,2] => 1010011 => 2
[7,6,3,1,4,2,5,8] => 1110100 => 2
[1,5,4,3,7,8,2,6] => 0110010 => 2
[7,8,4,2,5,3,1,6] => 0110110 => 2
[4,2,7,8,5,3,1,6] => 1001110 => 2
[4,2,5,3,1,7,8,6] => 1011001 => 2
[4,2,8,7,6,3,1,5] => 1011110 => 2
[4,2,7,6,3,1,5,8] => 1011100 => 2
[6,3,1,7,5,2,4,8] => 1101100 => 2
[6,3,1,8,7,5,2,4] => 1101110 => 2
[8,6,3,1,7,5,2,4] => 1110110 => 2
[4,2,7,6,3,1,8,5] => 1011101 => 2
[7,6,3,1,8,4,2,5] => 1110110 => 2
[7,6,4,2,1,8,3,5] => 1111010 => 2
[1,8,2,7,6,4,3,5] => 0101110 => 2
[8,3,5,7,6,4,2,1] => 1001111 => 1
[8,4,2,5,7,6,3,1] => 1100111 => 1
[7,5,2,4,8,6,3,1] => 1100111 => 1
[8,7,5,2,4,6,3,1] => 1110011 => 1
[7,5,2,4,6,3,1,8] => 1100110 => 2
[5,2,8,6,3,7,4,1] => 1011011 => 2
[8,4,7,5,2,6,3,1] => 1011011 => 2
[8,3,6,4,7,5,2,1] => 1010111 => 2
[1,8,2,7,5,3,6,4] => 0101101 => 2
[7,5,2,1,8,3,6,4] => 1110101 => 2
[7,5,2,6,3,1,8,4] => 1101101 => 2
[5,2,7,4,1,8,6,3] => 1011011 => 2
[5,2,8,7,4,1,6,3] => 1011101 => 2
[8,7,4,1,5,2,6,3] => 1110101 => 2
[7,4,1,5,2,8,6,3] => 1101011 => 2
[7,6,3,1,4,2,8,5] => 1110101 => 2
[7,5,2,8,6,3,1,4] => 1101110 => 2
[8,7,5,2,6,3,1,4] => 1110110 => 2
[7,5,2,1,3,6,4,8] => 1110010 => 2
[8,7,5,2,1,3,6,4] => 1111001 => 1
[7,5,2,1,3,8,6,4] => 1110011 => 1
[1,3,7,6,5,8,2,4] => 0011010 => 2
[8,6,4,7,5,2,1,3] => 1101110 => 2
[6,4,8,7,5,2,1,3] => 1011110 => 2
[6,4,7,5,2,1,3,8] => 1011100 => 2
[6,3,1,4,7,5,2,8] => 1100110 => 2
[6,3,1,4,8,7,5,2] => 1100111 => 1
[8,6,3,1,4,7,5,2] => 1110011 => 1
[8,5,7,6,3,1,4,2] => 1011101 => 2
[1,8,2,5,7,6,4,3] => 0100111 => 1
[1,8,2,6,4,7,5,3] => 0101011 => 2
[7,5,2,1,6,4,8,3] => 1110101 => 2
[6,3,8,7,4,1,5,2] => 1011101 => 2
[6,3,7,4,1,5,2,8] => 1011010 => 3
[7,4,1,6,3,5,2,8] => 1101010 => 3
[7,4,1,8,6,3,5,2] => 1101101 => 2
[8,4,6,3,1,7,5,2] => 1011011 => 2
[6,4,7,5,2,1,8,3] => 1011101 => 2
[1,6,4,7,5,3,8,2] => 0101101 => 2
[8,6,3,5,2,7,4,1] => 1101011 => 2
[6,3,5,2,8,7,4,1] => 1010111 => 2
[6,3,5,2,7,4,1,8] => 1010110 => 3
[1,4,7,3,5,2,6,8] => 0010100 => 2
[5,7,4,2,6,3,1,8] => 0110110 => 2
[4,2,6,3,5,7,1,8] => 1010010 => 3
[2,4,5,8,1,6,7,3] => 0001001 => 1
[6,1,3,7,4,2,5,8] => 1001100 => 2
[3,2,6,8,1,5,7,4] => 1001001 => 2
[8,2,6,1,5,4,7,3] => 1010101 => 3
[8,6,2,7,1,5,4,3] => 1101011 => 2
[7,6,8,3,1,5,4,2] => 1011011 => 2
[6,3,7,2,8,1,5,4] => 1010101 => 3
[7,5,2,8,6,1,4,3] => 1101101 => 2
[2,7,3,8,1,5,6,4] => 0101001 => 2
[1,6,8,5,2,4,3,7] => 0011010 => 2
[4,5,7,2,8,1,6,3] => 0010101 => 2
[8,4,6,5,3,1,7,2] => 1011101 => 2
[4,5,3,1,7,2,6,8] => 0110100 => 2
[7,8,1,2,4,3,6,5] => 0100101 => 2
[8,4,1,6,2,3,7,5] => 1101001 => 2
[4,1,3,6,5,7,8,2] => 1001001 => 2
[6,1,3,4,2,8,5,7] => 1001010 => 3
[8,1,4,2,5,7,6,3] => 1010011 => 2
[8,1,4,3,5,7,6,2] => 1010011 => 2
[5,2,4,1,3,7,8,6] => 1010001 => 2
[2,6,5,3,1,7,8,4] => 0111001 => 1
[8,3,2,1,5,7,6,4] => 1110011 => 1
[1,7,4,3,6,8,2,5] => 0110010 => 2
[2,7,6,3,1,8,4,5] => 0111010 => 2
[2,8,4,6,3,7,5,1] => 0101011 => 2
[8,7,1,3,6,5,4,2] => 1100111 => 1
[1,8,5,7,4,2,6,3] => 0101101 => 2
[3,8,6,5,7,1,4,2] => 0110101 => 2
[4,8,6,2,7,1,5,3] => 0110101 => 2
[4,7,5,3,8,2,1,6] => 0110110 => 2
[1,6,5,8,3,4,2,7] => 0101010 => 3
[6,1,5,3,8,4,2,7] => 1010110 => 3
[8,1,5,4,7,2,6,3] => 1010101 => 3
[2,1,4,7,5,8,3,6] => 1001010 => 3
[6,3,5,8,7,4,1,2] => 1001110 => 2
[4,7,2,8,5,6,3,1] => 0101011 => 2
[1,4,8,7,3,5,6,2] => 0011001 => 1
[8,1,7,6,3,5,4,2] => 1011011 => 2
[3,6,8,5,7,4,1,2] => 0010110 => 2
[4,7,6,8,5,3,1,2] => 0101110 => 2
[5,7,2,8,6,4,1,3] => 0101110 => 2
[3,8,7,5,6,4,2,1] => 0110111 => 1
[2,8,7,6,4,5,3,1] => 0111011 => 1
[1,8,7,6,5,3,4,2] => 0111101 => 1
[4,6,7,2,5,3,1,8] => 0010110 => 2
[2,4,7,8,1,6,5,3] => 0001011 => 1
[4,2,6,8,7,1,5,3] => 1001101 => 2
[5,1,8,4,2,7,6,3] => 1011011 => 2
[6,8,3,7,1,5,4,2] => 0101011 => 2
[2,7,3,8,1,6,5,4] => 0101011 => 2
[2,6,8,4,1,7,5,3] => 0011011 => 1
[4,6,7,1,2,8,5,3] => 0010011 => 1
[3,6,1,8,2,7,5,4] => 0101011 => 2
[5,7,4,1,2,8,6,3] => 0110011 => 1
[6,3,7,1,2,8,5,4] => 1010011 => 2
[8,1,5,6,3,2,4,7] => 1001100 => 2
[1,7,8,3,5,2,4,6] => 0010100 => 2
[8,5,3,7,2,4,6,1] => 1101001 => 2
[1,7,2,4,8,5,3,6] => 0100110 => 2
[1,7,8,5,4,3,2,6] => 0011110 => 1
[2,6,8,7,4,3,5,1] => 0011101 => 1
[1,2,6,7,8,4,3,5] => 0000110 => 1
[2,7,5,8,4,1,3,6] => 0101100 => 2
[2,1,7,8,4,5,3,6] => 1001010 => 3
[3,7,8,2,1,5,4,6] => 0011010 => 2
[8,5,1,4,7,3,6,2] => 1100101 => 2
[8,4,7,5,3,6,1,2] => 1011010 => 3
[8,1,4,6,7,3,5,2] => 1000101 => 2
[3,5,8,6,7,4,1,2] => 0010110 => 2
[3,6,8,4,7,1,5,2] => 0010101 => 2
[4,7,1,3,6,8,2,5] => 0100010 => 2
[3,7,6,4,8,1,2,5] => 0110100 => 2
[3,1,7,5,6,8,2,4] => 1010010 => 3
[2,3,6,5,7,1,8,4] => 0010101 => 2
[3,7,5,4,2,1,8,6] => 0111101 => 1
[1,3,6,7,4,2,8,5] => 0001101 => 1
[3,6,4,8,2,7,5,1] => 0101011 => 2
[1,4,6,3,2,7,8,5] => 0011001 => 1
[8,7,1,5,6,3,2,4] => 1100110 => 2
[8,1,6,7,5,3,2,4] => 1001110 => 2
[1,7,8,6,5,3,2,4] => 0011110 => 1
[8,7,2,4,6,5,3,1] => 1100111 => 1
[1,7,8,2,6,4,5,3] => 0010101 => 2
[8,7,2,5,4,6,1,3] => 1101010 => 3
[8,7,2,5,3,1,6,4] => 1101101 => 2
[8,7,3,2,1,5,6,4] => 1111001 => 1
[8,2,6,7,3,1,5,4] => 1001101 => 2
[1,7,2,8,5,6,4,3] => 0101011 => 2
[2,7,1,8,4,6,5,3] => 0101011 => 2
[3,7,8,2,1,6,5,4] => 0011011 => 1
[8,7,6,1,4,5,3,2] => 1110011 => 1
[4,8,1,2,3,7,5,6] => 0100010 => 2
[1,8,2,3,6,5,4,7] => 0100110 => 2
[3,5,8,4,7,2,6,1] => 0010101 => 2
[1,8,5,4,6,2,3,7] => 0110100 => 2
[3,8,5,4,6,1,2,7] => 0110100 => 2
[3,8,5,1,6,4,2,7] => 0110110 => 2
[2,8,5,4,6,1,3,7] => 0110100 => 2
[2,8,5,4,6,3,1,7] => 0110110 => 2
[1,8,5,4,6,3,2,7] => 0110110 => 2
[2,5,8,4,7,3,6,1] => 0010101 => 2
[3,6,4,2,7,8,5,1] => 0110011 => 1
[3,5,4,1,6,2,7,8] => 0110100 => 2
[4,5,8,1,7,6,2,3] => 0010110 => 2
[3,5,8,4,7,1,6,2] => 0010101 => 2
[1,5,8,4,7,3,6,2] => 0010101 => 2
[3,6,4,1,7,8,5,2] => 0110011 => 1
[3,6,4,8,7,5,2,1] => 0101111 => 1
[1,6,4,3,7,8,5,2] => 0110011 => 1
[7,1,3,4,8,6,5,2] => 1000111 => 1
[7,6,1,3,8,4,2,5] => 1100110 => 2
[1,6,4,2,7,8,3,5] => 0110010 => 2
[2,6,4,3,7,1,8,5] => 0110101 => 2
[2,6,4,1,7,8,3,5] => 0110010 => 2
[7,2,3,4,8,6,5,1] => 1000111 => 1
[7,2,3,1,8,6,4,5] => 1010110 => 3
[7,2,3,4,1,6,8,5] => 1001001 => 2
[1,2,4,3,8,5,7,6] => 0010101 => 2
[7,3,8,6,1,4,2,5] => 1011010 => 3
[7,2,8,6,3,4,1,5] => 1011010 => 3
[7,2,3,1,5,6,8,4] => 1010001 => 2
[7,2,3,8,1,6,5,4] => 1001011 => 2
[7,2,3,8,5,6,4,1] => 1001011 => 2
[2,6,4,8,7,1,5,3] => 0101101 => 2
[1,5,8,4,7,6,2,3] => 0010110 => 2
[3,5,8,1,6,7,2,4] => 0010010 => 2
[7,6,1,3,5,8,2,4] => 1100010 => 2
[7,1,3,2,5,6,8,4] => 1010001 => 2
[7,1,3,8,2,6,5,4] => 1001011 => 2
[7,6,1,8,5,4,2,3] => 1101110 => 2
[3,2,6,5,8,4,7,1] => 1010101 => 3
[4,3,7,1,6,5,8,2] => 1010101 => 3
[5,2,6,4,8,3,7,1] => 1010101 => 3
[4,3,7,5,8,2,6,1] => 1010101 => 3
[5,3,7,4,8,2,6,1] => 1010101 => 3
[5,3,7,4,8,1,6,2] => 1010101 => 3
[5,4,8,1,6,2,7,3] => 1010101 => 3
[4,3,7,1,5,2,8,6] => 1010101 => 3
[5,4,8,2,6,3,7,1] => 1010101 => 3
[5,4,8,1,6,3,7,2] => 1010101 => 3
[4,1,7,5,2,3,6,8] => 1011000 => 2
[4,1,7,8,6,3,2,5] => 1001110 => 2
[4,7,2,8,3,5,1,6] => 0101010 => 3
[6,8,3,2,1,4,7,5] => 0111001 => 1
[7,2,4,1,6,5,8,3] => 1010101 => 3
[7,5,8,4,3,1,6,2] => 1011101 => 2
[6,8,2,4,1,3,7,5] => 0101001 => 2
[2,8,4,7,6,3,5,1] => 0101101 => 2
[6,1,2,7,5,8,4,3] => 1001011 => 2
[4,2,7,3,8,5,6,1] => 1010101 => 3
[4,5,2,6,8,3,7,1] => 0100101 => 2
[4,8,3,2,5,7,6,1] => 0110011 => 1
[7,2,4,3,8,5,6,1] => 1010101 => 3
[6,8,5,3,4,7,2,1] => 0110011 => 1
[8,4,7,6,2,3,5,1] => 1011001 => 2
[6,8,4,1,5,3,7,2] => 0110101 => 2
[8,3,4,7,6,2,5,1] => 1001101 => 2
[1,8,3,5,2,6,7,4] => 0101001 => 2
[6,8,3,5,1,4,7,2] => 0101001 => 2
[6,8,5,4,2,3,7,1] => 0111001 => 1
[5,8,2,4,3,7,6,1] => 0101011 => 2
[8,2,1,3,5,6,4,7] => 1100010 => 2
[8,2,1,3,5,4,7,6] => 1100101 => 2
[8,2,1,3,4,6,7,5] => 1100001 => 1
[8,1,3,4,2,6,5,7] => 1001010 => 3
[8,1,3,4,2,5,7,6] => 1001001 => 2
[8,1,3,2,5,6,4,7] => 1010010 => 3
[8,1,2,4,5,3,7,6] => 1000101 => 2
[8,1,2,4,3,6,7,5] => 1001001 => 2
[10,2,1,4,3,6,5,8,7,9] => 110101010 => 4
[10,2,1,4,3,6,5,7,9,8] => 110101001 => 3
[10,2,1,4,3,5,7,8,6,9] => 110100010 => 3
[10,2,1,4,3,5,7,6,9,8] => 110100101 => 3
[10,2,1,4,3,5,6,8,9,7] => 110100001 => 2
[10,2,1,3,5,6,4,8,7,9] => 110001010 => 3
[10,2,1,3,5,6,4,7,9,8] => 110001001 => 2
[10,2,1,3,5,4,7,8,6,9] => 110010010 => 3
[10,2,1,3,5,4,7,6,9,8] => 110010101 => 3
[10,2,1,3,5,4,6,8,9,7] => 110010001 => 2
[10,2,1,3,4,6,7,8,5,9] => 110000010 => 2
[10,2,1,3,4,6,7,5,9,8] => 110000101 => 2
[10,2,1,3,4,6,5,8,9,7] => 110001001 => 2
[10,2,1,3,4,5,7,8,9,6] => 110000001 => 1
[10,1,3,4,2,6,5,8,7,9] => 100101010 => 4
[10,1,3,4,2,6,5,7,9,8] => 100101001 => 3
[10,1,3,4,2,5,7,8,6,9] => 100100010 => 3
[10,1,3,4,2,5,7,6,9,8] => 100100101 => 3
[10,1,3,4,2,5,6,8,9,7] => 100100001 => 2
[10,1,3,2,5,6,4,8,7,9] => 101001010 => 4
[10,1,3,2,5,6,4,7,9,8] => 101001001 => 3
[10,1,3,2,5,4,7,8,6,9] => 101010010 => 4
[10,1,3,2,5,4,7,6,9,8] => 101010101 => 4
[10,1,3,2,5,4,6,8,9,7] => 101010001 => 3
[10,1,3,2,4,6,7,8,5,9] => 101000010 => 3
[10,1,3,2,4,6,7,5,9,8] => 101000101 => 3
[10,1,3,2,4,6,5,8,9,7] => 101001001 => 3
[10,1,3,2,4,5,7,8,9,6] => 101000001 => 2
[10,1,2,4,5,6,3,8,7,9] => 100001010 => 3
[10,1,2,4,5,6,3,7,9,8] => 100001001 => 2
[10,1,2,4,5,3,7,8,6,9] => 100010010 => 3
[10,1,2,4,5,3,7,6,9,8] => 100010101 => 3
[10,1,2,4,5,3,6,8,9,7] => 100010001 => 2
[10,1,2,4,3,6,7,8,5,9] => 100100010 => 3
[10,1,2,4,3,6,7,5,9,8] => 100100101 => 3
[10,1,2,4,3,6,5,8,9,7] => 100101001 => 3
[10,1,2,4,3,5,7,8,9,6] => 100100001 => 2
[10,1,2,3,5,6,7,8,4,9] => 100000010 => 2
[10,1,2,3,5,6,7,4,9,8] => 100000101 => 2
[10,1,2,3,5,6,4,8,9,7] => 100001001 => 2
[10,1,2,3,5,4,7,8,9,6] => 100010001 => 2
[10,1,2,3,4,6,7,8,9,5] => 100000001 => 1
[12,1,3,4,2,6,5,8,7,10,9,11] => 10010101010 => 5
[12,1,3,4,2,6,5,8,7,9,11,10] => 10010101001 => 4
[12,1,3,4,2,6,5,7,9,10,8,11] => 10010100010 => 4
[12,1,3,4,2,6,5,7,9,8,11,10] => 10010100101 => 4
[12,1,3,4,2,5,7,8,6,10,9,11] => 10010001010 => 4
[12,1,3,4,2,5,7,8,6,9,11,10] => 10010001001 => 3
[12,1,3,4,2,5,7,6,9,10,8,11] => 10010010010 => 4
[12,1,3,4,2,5,7,6,9,8,11,10] => 10010010101 => 4
[12,1,3,4,2,5,7,6,8,10,11,9] => 10010010001 => 3
[12,1,3,4,2,5,6,8,7,10,11,9] => 10010001001 => 3
[12,1,3,2,5,6,4,8,7,10,9,11] => 10100101010 => 5
[12,1,3,2,5,6,4,8,7,9,11,10] => 10100101001 => 4
[12,1,3,2,5,6,4,7,9,10,8,11] => 10100100010 => 4
[12,1,3,2,5,6,4,7,9,8,11,10] => 10100100101 => 4
[12,1,3,2,5,4,7,8,6,10,9,11] => 10101001010 => 5
[12,1,3,2,5,4,7,8,6,9,11,10] => 10101001001 => 4
[12,1,3,2,5,4,7,6,9,10,8,11] => 10101010010 => 5
[12,1,3,2,5,4,7,6,9,8,11,10] => 10101010101 => 5
[12,1,3,2,5,4,6,8,7,10,11,9] => 10101001001 => 4
[12,1,3,2,4,6,7,5,9,10,8,11] => 10100010010 => 4
[12,1,3,2,4,6,7,5,8,10,11,9] => 10100010001 => 3
[12,1,3,2,4,6,5,8,9,10,7,11] => 10100100010 => 4
[12,1,3,2,4,6,5,8,9,7,11,10] => 10100100101 => 4
[12,1,3,2,4,6,5,8,7,10,11,9] => 10100101001 => 4
[12,1,3,2,4,5,7,6,9,10,11,8] => 10100010001 => 3
[12,1,2,4,5,6,3,7,9,10,8,11] => 10000100010 => 3
[12,1,2,4,5,6,3,7,8,10,11,9] => 10000100001 => 2
[12,1,2,4,5,3,7,8,6,10,9,11] => 10001001010 => 4
[12,1,2,4,5,3,7,8,6,9,11,10] => 10001001001 => 3
[12,1,2,4,5,3,7,6,9,10,8,11] => 10001010010 => 4
[12,1,2,4,5,3,7,6,8,10,11,9] => 10001010001 => 3
[12,1,2,4,5,3,6,8,9,10,7,11] => 10001000010 => 3
[12,1,2,4,5,3,6,8,9,7,11,10] => 10001000101 => 3
[12,1,2,4,5,3,6,8,7,10,11,9] => 10001001001 => 3
[12,1,2,4,3,6,7,8,5,10,9,11] => 10010001010 => 4
[12,1,2,4,3,6,7,8,5,9,11,10] => 10010001001 => 3
[12,1,2,4,3,6,7,5,9,10,8,11] => 10010010010 => 4
[12,1,2,4,3,6,7,5,9,8,11,10] => 10010010101 => 4
[12,1,2,4,3,6,7,5,8,10,11,9] => 10010010001 => 3
[12,1,2,4,3,6,5,8,9,10,7,11] => 10010100010 => 4
[12,1,2,4,3,6,5,8,9,7,11,10] => 10010100101 => 4
[12,1,2,4,3,6,5,8,7,10,11,9] => 10010101001 => 4
[12,1,2,4,3,5,7,8,6,10,11,9] => 10010001001 => 3
[12,1,2,4,3,5,7,6,9,10,11,8] => 10010010001 => 3
[12,1,2,3,5,6,7,8,4,10,9,11] => 10000001010 => 3
[12,1,2,3,5,6,4,8,9,10,7,11] => 10000100010 => 3
[12,1,2,3,5,6,4,7,9,10,11,8] => 10000100001 => 2
[12,1,2,3,5,4,7,8,9,10,6,11] => 10001000010 => 3
[12,1,2,3,5,4,7,8,9,6,11,10] => 10001000101 => 3
[12,1,2,3,5,4,7,8,6,10,11,9] => 10001001001 => 3
[12,1,2,3,5,4,7,6,9,10,11,8] => 10001010001 => 3
[12,1,2,3,4,6,7,8,9,10,5,11] => 10000000010 => 2
[12,1,2,3,4,6,5,8,9,10,11,7] => 10000100001 => 2
[6,5,3,8,4,2,7,1] => 1101101 => 2
[7,4,5,1,6,2,8,3] => 1010101 => 3
[4,7,3,5,6,2,8,1] => 0100101 => 2
[6,7,8,4,1,3,5,2] => 0011001 => 1
[3,1,6,8,4,7,5,2] => 1001011 => 2
[8,3,6,1,5,7,4,2] => 1010011 => 2
[3,2,7,5,8,6,1,4] => 1010110 => 3
[2,5,4,7,8,1,6,3] => 0100101 => 2
[2,4,6,7,8,1,5,3] => 0000101 => 1
[2,4,6,8,1,7,5,3] => 0001011 => 1
[7,4,3,8,6,2,1,5] => 1101110 => 2
[2,4,7,8,3,5,6,1] => 0001001 => 1
[3,2,7,6,1,8,4,5] => 1011010 => 3
[3,2,6,8,1,7,4,5] => 1001010 => 3
[4,3,6,2,1,8,5,7] => 1011010 => 3
[3,6,4,2,5,8,1,7] => 0110010 => 2
[4,6,2,3,7,5,8,1] => 0100101 => 2
[5,8,4,2,3,6,7,1] => 0110001 => 1
[8,4,5,3,2,1,7,6] => 1011101 => 2
[5,8,3,4,2,1,7,6] => 0101101 => 2
[6,8,4,2,3,7,5,1] => 0110011 => 1
[6,4,8,3,2,7,1,5] => 1011010 => 3
[5,8,3,7,2,1,6,4] => 0101101 => 2
[2,5,6,4,7,1,8,3] => 0010101 => 2
[2,5,4,8,1,6,7,3] => 0101001 => 2
[6,4,7,3,8,2,1,5] => 1010110 => 3
[6,7,4,3,2,1,8,5] => 0111101 => 1
[8,4,3,7,2,1,5,6] => 1101100 => 2
[1,2,6,5,8,7,3,4] => 0010110 => 2
[1,5,2,8,4,6,7,3] => 0101001 => 2
[1,5,2,7,4,6,8,3] => 0101001 => 2
[5,1,2,7,3,6,8,4] => 1001001 => 2
[5,1,2,8,3,6,7,4] => 1001001 => 2
[5,6,3,4,8,7,2,1] => 0100111 => 1
[6,5,3,4,8,7,2,1] => 1100111 => 1
[4,1,2,8,3,6,7,5] => 1001001 => 2
[4,1,2,7,3,6,8,5] => 1001001 => 2
[7,5,3,8,4,6,2,1] => 1101011 => 2
[8,5,3,7,4,6,2,1] => 1101011 => 2
[5,8,1,2,3,4,7,6] => 0100001 => 1
[7,1,2,8,3,6,4,5] => 1001010 => 3
[6,1,8,2,3,5,7,4] => 1010001 => 2
[6,1,7,2,3,5,8,4] => 1010001 => 2
[1,6,8,2,4,5,7,3] => 0010001 => 1
[4,3,8,7,5,6,2,1] => 1011011 => 2
[1,8,2,7,4,6,5,3] => 0101011 => 2
[7,1,6,2,3,5,8,4] => 1010001 => 2
[8,1,6,2,3,5,7,4] => 1010001 => 2
[8,1,7,2,3,5,6,4] => 1010001 => 2
[5,8,3,7,4,6,2,1] => 0101011 => 2
[6,8,7,3,4,5,2,1] => 0110011 => 1
[1,8,7,2,4,5,3,6] => 0110010 => 2
[8,7,1,2,3,4,6,5] => 1100001 => 1
[8,6,1,2,3,4,7,5] => 1100001 => 1
[8,1,6,2,3,5,4,7] => 1010010 => 3
[1,7,6,2,4,5,3,8] => 0110010 => 2
[1,8,7,4,6,3,5,2] => 0110101 => 2
[6,3,7,5,1,4,8,2] => 1011001 => 2
[1,8,3,5,7,2,6,4] => 0100101 => 2
[2,3,4,6,8,5,7,1] => 0000101 => 1
[2,3,5,7,4,8,6,1] => 0001011 => 1
[2,4,6,3,7,8,5,1] => 0010011 => 1
[2,5,7,1,8,6,3,4] => 0010110 => 2
[1,3,8,5,2,4,6,7] => 0011000 => 1
[2,6,7,1,8,4,5,3] => 0010101 => 2
[5,8,3,1,4,2,6,7] => 0110100 => 2
[3,8,4,2,6,7,1,5] => 0110010 => 2
[2,4,1,8,5,6,3,7] => 0101010 => 3
[1,6,2,7,8,5,3,4] => 0100110 => 2
[3,5,2,6,7,8,4,1] => 0100011 => 1
[4,5,1,6,7,3,8,2] => 0100101 => 2
[2,8,4,1,7,5,3,6] => 0110110 => 2
[8,5,3,1,7,4,2,6] => 1110110 => 2
[4,2,8,7,1,5,3,6] => 1011010 => 3
[5,2,6,8,1,7,4,3] => 1001011 => 2
[5,7,3,2,6,8,1,4] => 0110010 => 2
[8,4,7,3,1,6,2,5] => 1011010 => 3
[6,7,1,2,3,5,8,4] => 0100001 => 1
[3,1,6,7,8,4,2,5] => 1000110 => 2
[3,1,4,8,5,6,2,7] => 1001010 => 3
[8,3,1,4,5,7,2,6] => 1100010 => 2
[1,6,7,8,9,2,3,4,5] => 00001000 => 1
[6,7,8,9,1,2,3,4,5,10] => 000100000 => 1
[6,7,8,1,2,3,4,5,9] => 00100000 => 1
[1,7,8,9,2,3,4,5,6] => 00010000 => 1
[1,7,8,9,10,2,3,4,5,6] => 000010000 => 1
[6,7,8,9,10,1,2,3,4,5,11] => 0000100000 => 1
[5,6,7,8,9,1,2,3,4,10] => 000010000 => 1
[5,6,7,1,8,2,3,4,9] => 00101000 => 2
[4,6,7,8,1,2,3,5,9] => 00010000 => 1
[1,6,7,8,2,9,3,4,5] => 00010100 => 2
[1,5,7,8,9,2,3,4,6] => 00001000 => 1
[1,6,7,8,9,10,2,3,4,5] => 000001000 => 1
[1,7,8,9,10,11,2,3,4,5,6] => 0000010000 => 1
[8,6,2,3,5,1,4,7] => 1100100 => 2
[8,2,4,5,7,3,1,6] => 1000110 => 2
[2,6,3,8,7,5,4,1] => 0101111 => 1
[8,2,3,7,5,4,1,6] => 1001110 => 2
[8,2,6,3,5,4,1,7] => 1010110 => 3
[8,6,1,5,2,4,3,7] => 1101010 => 3
[8,6,2,4,1,5,3,7] => 1101010 => 3
[8,4,1,6,5,3,2,7] => 1101110 => 2
[8,3,6,1,5,4,2,7] => 1010110 => 3
[8,3,2,6,5,4,1,7] => 1101110 => 2
[8,3,2,5,7,4,1,6] => 1100110 => 2
[8,3,1,7,5,4,2,6] => 1101110 => 2
[8,2,7,4,1,5,3,6] => 1011010 => 3
[6,1,3,8,7,5,4,2] => 1001111 => 1
[3,6,1,8,7,5,4,2] => 0101111 => 1
[3,8,1,5,7,6,4,2] => 0100111 => 1
[3,5,2,8,7,6,4,1] => 0101111 => 1
[3,4,8,2,7,6,5,1] => 0010111 => 1
[3,4,8,7,1,6,5,2] => 0011011 => 1
[8,1,3,5,7,6,4,2] => 1000111 => 1
[4,1,8,5,7,6,3,2] => 1010111 => 2
[8,2,7,1,4,5,6,3] => 1010001 => 2
[8,1,7,3,4,6,2,5] => 1010010 => 3
[8,3,1,7,2,6,5,4] => 1101011 => 2
[3,8,2,4,7,6,5,1] => 0100111 => 1
[2,8,3,7,4,6,5,1] => 0101011 => 2
[8,2,3,7,1,6,5,4] => 1001011 => 2
[8,2,7,1,3,6,5,4] => 1010011 => 2
[8,1,7,2,6,4,3,5] => 1010110 => 3
[8,1,7,5,2,4,3,6] => 1011010 => 3
[8,2,3,7,4,6,1,5] => 1001010 => 3
[2,4,8,5,7,6,3,1] => 0010111 => 1
[8,2,4,3,7,6,1,5] => 1010110 => 3
[8,2,7,3,5,1,4,6] => 1010100 => 3
[8,2,7,4,3,1,5,6] => 1011100 => 2
[8,2,7,3,1,5,6,4] => 1011001 => 2
[8,2,1,5,7,6,4,3] => 1100111 => 1
[6,2,1,8,7,5,4,3] => 1101111 => 1
[6,1,8,2,7,5,4,3] => 1010111 => 2
[8,1,7,3,5,2,6,4] => 1010101 => 3
[8,1,5,2,7,6,4,3] => 1010111 => 2
[8,1,7,2,4,6,5,3] => 1010011 => 2
[8,2,4,1,7,6,5,3] => 1010111 => 2
[4,2,8,3,7,6,5,1] => 1010111 => 2
[4,8,2,1,7,6,5,3] => 0110111 => 1
[5,1,8,7,2,6,4,3] => 1011011 => 2
[5,8,1,3,7,6,2,4] => 0100110 => 2
[8,2,5,4,1,7,6,3] => 1011011 => 2
[5,1,4,8,7,6,3,2] => 1001111 => 1
[8,1,4,3,7,6,5,2] => 1010111 => 2
[4,8,1,3,7,6,5,2] => 0100111 => 1
[4,3,8,1,7,6,5,2] => 1010111 => 2
[5,8,6,3,2,1,7,4] => 0111101 => 1
[5,7,6,3,2,4,1,8] => 0111010 => 2
[6,5,7,2,4,3,1,8] => 1010110 => 3
[5,7,1,3,2,8,6,4] => 0101011 => 2
[5,8,1,3,2,7,4,6] => 0101010 => 3
[8,5,1,3,2,4,6,7] => 1101000 => 2
[7,5,1,3,2,4,8,6] => 1101001 => 2
[7,5,8,2,1,4,3,6] => 1011010 => 3
[6,7,1,2,5,4,8,3] => 0100101 => 2
[6,8,1,2,5,7,4,3] => 0100011 => 1
[7,1,2,3,8,6,4,5] => 1000110 => 2
[8,1,6,4,2,3,5,7] => 1011000 => 2
[1,5,4,8,2,3,7,6] => 0101001 => 2
[1,7,8,2,3,5,6,4] => 0010001 => 1
[7,5,8,2,3,1,4,6] => 1010100 => 3
[7,4,1,2,6,8,3,5] => 1100010 => 2
[6,2,8,1,5,7,3,4] => 1010010 => 3
[7,2,5,4,1,8,6,3] => 1011011 => 2
[7,3,5,4,2,1,8,6] => 1011101 => 2
[7,3,2,8,5,6,1,4] => 1101010 => 3
[1,7,4,3,6,8,5,2] => 0110011 => 1
[4,7,6,5,2,3,8,1] => 0111001 => 1
[5,4,6,8,7,2,1,3] => 1001110 => 2
[6,7,4,2,1,8,5,3] => 0111011 => 1
[1,7,6,3,2,8,4,5] => 0111010 => 2
[6,5,8,1,7,3,4,2] => 1010101 => 3
[6,5,8,2,3,7,4,1] => 1010011 => 2
[6,5,8,3,4,1,7,2] => 1010101 => 3
[4,1,2,8,5,3,6,7] => 1001100 => 2
[3,5,8,2,6,1,7,4] => 0010101 => 2
[3,7,6,1,5,2,8,4] => 0110101 => 2
[1,7,6,2,5,8,4,3] => 0110011 => 1
[1,7,6,5,8,4,2,3] => 0110110 => 2
[3,7,6,2,8,4,5,1] => 0110101 => 2
[4,3,6,8,5,1,2,7] => 1001100 => 2
[2,7,1,5,8,4,3,6] => 0100110 => 2
[2,7,6,1,8,4,3,5] => 0110110 => 2
[7,1,2,6,3,5,4,8] => 1001010 => 3
[7,2,6,3,4,5,1,8] => 1010010 => 3
[6,1,2,5,7,8,4,3] => 1000011 => 1
[4,1,2,7,8,5,3,6] => 1000110 => 2
[4,7,3,1,2,6,8,5] => 0110001 => 1
[3,7,6,1,5,8,2,4] => 0110010 => 2
[3,8,5,6,4,2,7,1] => 0101101 => 2
[3,2,6,4,7,8,5,1] => 1010011 => 2
[4,2,7,5,8,3,1,6] => 1010110 => 3
[4,2,7,1,3,8,6,5] => 1010011 => 2
[5,2,1,4,7,8,3,6] => 1100010 => 2
[5,6,2,7,3,4,8,1] => 0101001 => 2
[6,1,3,8,5,4,7,2] => 1001101 => 2
[2,7,6,8,5,1,3,4] => 0101100 => 2
[2,7,6,8,5,3,1,4] => 0101110 => 2
[1,5,8,6,4,2,3,7] => 0011100 => 1
[2,5,8,6,4,1,7,3] => 0011101 => 1
[1,6,2,3,5,8,7,4] => 0100011 => 1
[4,7,2,3,1,6,8,5] => 0101001 => 2
[6,7,3,1,5,4,8,2] => 0110101 => 2
[7,4,6,2,8,3,5,1] => 1010101 => 3
[7,3,5,1,4,8,2,6] => 1010010 => 3
[3,4,6,5,1,2,7,8] => 0011000 => 1
[7,5,4,3,8,6,2,1] => 1110111 => 1
[4,3,8,2,6,7,5,1] => 1010011 => 2
[4,3,8,2,5,7,1,6] => 1010010 => 3
[4,1,6,2,5,3,7,8] => 1010100 => 3
[5,1,8,6,4,7,2,3] => 1011010 => 3
[4,2,6,1,5,3,8,7] => 1010101 => 3
[6,7,2,3,1,5,8,4] => 0101001 => 2
[7,5,2,3,8,1,6,4] => 1100101 => 2
[7,5,2,3,8,4,1,6] => 1100110 => 2
[4,5,1,7,6,3,8,2] => 0101101 => 2
[8,1,7,5,2,3,4,6] => 1011000 => 2
[8,6,3,1,4,2,5,7] => 1110100 => 2
[4,5,1,6,2,8,7,3] => 0101011 => 2
[4,8,3,6,1,7,2,5] => 0101010 => 3
[6,2,7,8,3,4,5,1] => 1001001 => 2
[9,2,3,4,5,6,7,8,1] => 10000001 => 1
[8,2,3,4,5,6,7,1,9] => 10000010 => 2
[7,2,3,4,5,6,1,8,9] => 10000100 => 2
[6,2,3,4,5,1,7,8,9] => 10001000 => 2
[5,2,3,4,1,6,7,8,9] => 10010000 => 2
[4,2,3,1,5,6,7,8,9] => 10100000 => 2
[1,2,4,3,5,6,7,8,9] => 00100000 => 1
[1,2,4,6,8,9,7,5,3] => 00000111 => 0
[1,2,4,5,3,6,7,8,9] => 00010000 => 1
[1,2,4,3,5,6,7,8,9,10] => 001000000 => 1
[1,2,4,6,8,10,9,7,5,3] => 000001111 => 0
[1,2,4,6,8,5,7,3] => 0000101 => 1
[2,1,7,5,8,6,3,4] => 1010110 => 3
[4,7,3,8,6,5,2,1] => 0101111 => 1
[3,8,7,4,6,5,1,2] => 0110110 => 2
[7,3,8,4,6,5,1,2] => 1010110 => 3
[7,4,3,6,5,8,1,2] => 1101010 => 3
[4,5,8,7,2,6,1,3] => 0011010 => 2
[3,8,6,7,5,1,4,2] => 0101101 => 2
[4,2,7,6,5,8,3,1] => 1011011 => 2
[4,6,7,8,5,2,3,1] => 0001101 => 1
[4,5,3,8,2,7,6,1] => 0101011 => 2
[3,8,5,4,1,7,6,2] => 0111011 => 1
[6,4,7,2,5,8,3,1] => 1010011 => 2
[6,3,8,7,5,1,4,2] => 1011101 => 2
[5,3,6,4,1,2,8,7] => 1011001 => 2
[6,8,4,3,5,7,1,2] => 0110010 => 2
[5,2,4,8,7,6,1,3] => 1001110 => 2
[4,2,5,1,7,8,3,6] => 1010010 => 3
[2,5,4,1,3,8,6,7] => 0110010 => 2
[1,4,5,3,8,2,6,7] => 0010100 => 2
[5,1,8,2,4,3,6,7] => 1010100 => 3
[1,5,4,8,2,3,6,7] => 0101000 => 2
[3,5,1,4,7,8,2,6] => 0100010 => 2
[4,8,3,1,6,7,2,5] => 0110010 => 2
[3,4,8,2,6,5,7,1] => 0010101 => 2
[3,6,2,4,8,7,1,5] => 0100110 => 2
[4,7,3,2,6,8,1,5] => 0110010 => 2
[7,3,4,6,8,1,2,5] => 1000100 => 2
[3,6,7,2,5,8,1,4] => 0010010 => 2
[1,5,6,8,3,7,2,4] => 0001010 => 2
[6,1,5,8,3,4,7,2] => 1001001 => 2
[5,6,8,1,3,4,7,2] => 0010001 => 1
[2,8,5,6,3,4,7,1] => 0101001 => 2
[6,8,1,3,5,4,7,2] => 0100101 => 2
[8,1,6,3,5,4,7,2] => 1010101 => 3
[1,8,7,3,6,4,5,2] => 0110101 => 2
[7,1,2,5,8,4,6,3] => 1000101 => 2
[6,2,4,8,1,7,3,5] => 1001010 => 3
[3,1,7,8,5,4,6,2] => 1001101 => 2
[1,6,2,7,4,8,5,3] => 0101011 => 2
[2,7,1,8,4,3,5,6] => 0101100 => 2
[6,7,1,8,3,2,4,5] => 0101100 => 2
[2,7,6,3,5,8,1,4] => 0110010 => 2
[2,7,5,6,8,1,3,4] => 0100100 => 2
[6,7,2,8,1,3,4,5] => 0101000 => 2
[5,1,6,8,7,2,3,4] => 1001100 => 2
[1,5,7,6,8,2,3,4] => 0010100 => 2
[7,4,6,8,5,3,1,2] => 1001110 => 2
[2,1,5,7,8,3,6,4] => 1000101 => 2
[3,8,6,7,5,1,2,4] => 0101100 => 2
[4,7,5,8,6,3,1,2] => 0101110 => 2
[1,6,8,3,2,5,4,7] => 0011010 => 2
[7,8,5,1,3,2,6,4] => 0110101 => 2
[2,6,8,1,5,4,7,3] => 0010101 => 2
[1,5,4,7,6,2,8,3] => 0101101 => 2
[2,3,7,6,5,1,8,4] => 0011101 => 1
[6,1,5,8,3,2,7,4] => 1001101 => 2
[3,1,2,4,8,5,7,6] => 1000101 => 2
[2,5,8,4,6,3,1,7] => 0010110 => 2
[7,1,5,4,8,3,2,6] => 1010110 => 3
[6,4,1,7,5,3,2,8] => 1101110 => 2
[2,7,6,4,8,1,5,3] => 0110101 => 2
[7,2,5,4,8,1,6,3] => 1010101 => 3
[1,7,2,5,3,8,6,4] => 0101011 => 2
[2,4,1,3,6,8,5,7,9] => 01000100 => 2
[7,2,3,8,6,1,5,4] => 1001101 => 2
[5,3,8,4,1,2,6,7] => 1011000 => 2
[2,4,8,3,7,1,5,6] => 0010100 => 2
[5,2,8,4,1,6,3,7] => 1011010 => 3
[7,6,5,2,1,8,4,3] => 1111011 => 1
[2,7,5,1,8,3,6,4] => 0110101 => 2
[5,1,8,7,4,3,6,2] => 1011101 => 2
[3,8,7,2,4,6,1,5] => 0110010 => 2
[5,7,1,3,2,4,8,6] => 0101001 => 2
[4,2,7,6,3,5,8,1] => 1011001 => 2
[8,4,7,6,3,5,1,2] => 1011010 => 3
[8,1,7,4,2,3,5,6] => 1011000 => 2
[6,5,1,3,8,7,4,2] => 1100111 => 1
[4,7,8,3,2,5,1,6] => 0011010 => 2
[6,1,8,5,3,7,2,4] => 1011010 => 3
[5,1,6,8,3,7,4,2] => 1001011 => 2
[8,6,5,1,7,4,3,2] => 1110111 => 1
[7,6,4,1,3,5,8,2] => 1110001 => 1
[8,2,3,7,1,4,5,6] => 1001000 => 2
[2,8,3,7,1,4,5,6] => 0101000 => 2
[5,6,2,7,4,3,1,8] => 0101110 => 2
[8,6,2,7,4,1,3,5] => 1101100 => 2
[3,7,8,2,6,1,4,5] => 0010100 => 2
[3,7,8,5,2,1,4,6] => 0011100 => 1
[6,8,4,7,3,1,5,2] => 0101101 => 2
[4,8,6,5,1,2,7,3] => 0111001 => 1
[4,8,6,5,1,2,3,7] => 0111000 => 1
[3,4,5,1,7,6,8,2] => 0010101 => 2
[3,8,7,6,5,1,2,4] => 0111100 => 1
[8,4,6,7,1,2,5,3] => 1001001 => 2
[5,7,2,6,1,8,4,3] => 0101011 => 2
[5,7,2,6,1,3,8,4] => 0101001 => 2
[5,8,2,6,1,4,7,3] => 0101001 => 2
[3,8,7,5,6,1,4,2] => 0110101 => 2
[6,8,4,7,2,1,5,3] => 0101101 => 2
[1,7,3,4,5,2,8,6] => 0100101 => 2
[4,8,2,1,3,5,6,7] => 0110000 => 1
[1,7,2,5,4,3,8,6] => 0101101 => 2
[2,6,7,3,4,8,1,5] => 0010010 => 2
[2,1,5,7,4,3,8,6] => 1001101 => 2
[4,1,8,7,5,6,2,3] => 1011010 => 3
[1,5,8,7,4,3,6,2] => 0011101 => 1
[6,4,1,3,8,7,5,2] => 1100111 => 1
[2,1,7,4,6,8,3,5] => 1010010 => 3
[1,7,2,4,6,8,3,5] => 0100010 => 2
[8,6,4,2,7,3,5,1] => 1110101 => 2
[7,4,6,1,2,3,8,5] => 1010001 => 2
[1,8,6,2,7,3,5,4] => 0110101 => 2
[1,7,8,6,2,3,5,4] => 0011001 => 1
[2,1,8,3,5,7,6,4] => 1010011 => 2
[3,5,8,1,7,6,2,4] => 0010110 => 2
[2,8,1,3,6,7,5,4] => 0100011 => 1
[7,2,4,8,6,1,5,3] => 1001101 => 2
[2,4,1,5,6,7,8,9,10,3] => 010000001 => 1
[2,3,4,5,6,7,9,1,10,8] => 000000101 => 1
[2,3,5,1,6,7,8,9,10,4] => 001000001 => 1
[2,3,4,5,6,8,1,9,10,7] => 000001001 => 1
[2,3,4,6,1,7,8,9,10,5] => 000100001 => 1
[2,3,4,5,7,1,8,9,10,6] => 000010001 => 1
[4,1,2,5,6,7,8,9,10,3] => 100000001 => 1
[4,3,1,5,6,7,8,10,2,9] => 110000010 => 2
[2,4,1,5,6,7,8,9,10,11,3] => 0100000001 => 1
[2,6,1,5,3,7,8,9,10,4] => 010100001 => 2
[2,3,4,5,6,7,8,10,1,11,9] => 0000000101 => 1
[5,3,4,1,6,7,9,2,10,8] => 101000101 => 3
[2,3,5,1,6,7,8,9,10,11,4] => 0010000001 => 1
[2,3,8,1,6,7,4,9,10,5] => 001001001 => 2
[2,3,4,5,6,7,9,1,10,11,8] => 0000001001 => 1
[6,3,4,5,1,8,2,9,10,7] => 100101001 => 3
[2,3,4,6,1,7,8,9,10,11,5] => 0001000001 => 1
[2,3,4,10,1,7,8,9,5,6] => 000100010 => 2
[2,3,4,5,6,8,1,9,10,11,7] => 0000010001 => 1
[2,3,4,5,7,1,8,9,10,11,6] => 0000100001 => 1
[8,2,1,3,4,5,6,7,9] => 11000000 => 1
[3,2,4,5,6,7,8,1,9] => 10000010 => 2
[9,2,1,3,4,5,6,7,8,10] => 110000000 => 1
[8,3,1,2,4,5,6,7,9] => 11000000 => 1
[8,2,3,1,4,5,6,7,9] => 10100000 => 2
[4,2,3,5,6,7,8,1,9] => 10000010 => 2
[6,4,3,2,8,1,7,5] => 1110101 => 2
[6,2,4,3,8,1,7,5] => 1010101 => 3
[5,8,4,3,1,6,7,2] => 0111001 => 1
[8,7,2,4,6,10,1,3,5,9] => 110001000 => 2
[2,10,7,9,4,6,8,1,3,5] => 010100100 => 3
[6,5,2,4,8,10,1,3,7,9] => 110001000 => 2
[2,8,5,7,4,6,10,1,3,9] => 010100100 => 3
[10,5,2,4,7,9,6,8,1,3] => 110001010 => 3
[10,9,2,8,5,7,4,6,1,3] => 110101010 => 4
[8,7,6,5,2,4,10,1,3,9] => 111100100 => 2
[10,7,2,6,5,9,4,8,1,3] => 110101010 => 4
[6,10,5,9,8,7,2,4,1,3] => 010111010 => 3
[4,10,3,9,2,6,8,1,5,7] => 010100100 => 3
[4,3,10,7,9,2,6,8,1,5] => 101010010 => 4
[3,6,2,5,4,8,10,1,7,9] => 010100100 => 3
[3,6,10,2,5,9,4,8,1,7] => 001001010 => 3
[3,5,8,2,4,7,6,10,1,9] => 001001010 => 3
[3,5,7,10,2,4,6,9,8,1] => 000100011 => 1
[10,9,3,5,8,2,4,7,6,1] => 110010011 => 2
[8,7,3,6,2,5,4,10,1,9] => 110101010 => 4
[7,6,3,5,10,2,4,9,8,1] => 110010011 => 2
[3,6,10,9,8,2,5,7,4,1] => 001110011 => 1
[10,9,8,7,3,6,2,5,4,1] => 111101011 => 2
[5,4,3,8,2,7,6,10,1,9] => 110101010 => 4
[5,4,3,7,10,2,6,9,8,1] => 110010011 => 2
[5,10,4,9,3,8,2,7,6,1] => 010101011 => 3
[4,8,3,7,6,5,2,10,1,9] => 010111010 => 3
[4,7,3,6,5,10,2,9,8,1] => 010101011 => 3
[4,6,10,3,5,9,8,7,2,1] => 001001111 => 1
[10,9,4,8,3,7,6,5,2,1] => 110101111 => 2
[7,6,5,4,3,10,2,9,8,1] => 111101011 => 2
[6,5,4,10,3,9,8,7,2,1] => 110101111 => 2
[5,10,4,9,8,7,6,3,2,1] => 010111111 => 1
[2,12,9,11,4,6,8,10,1,3,5,7] => 01010001000 => 3
[8,12,7,11,2,4,6,10,1,3,5,9] => 01010001000 => 3
[2,10,7,9,4,6,8,12,1,3,5,11] => 01010001000 => 3
[2,4,12,7,9,11,6,8,10,1,3,5] => 00100100100 => 3
[6,12,5,11,2,4,8,10,1,3,7,9] => 01010001000 => 3
[6,10,5,9,2,4,8,12,1,3,7,11] => 01010001000 => 3
[6,5,12,9,11,2,4,8,10,1,3,7] => 10101000100 => 4
[2,8,5,7,4,6,10,12,1,3,9,11] => 01010001000 => 3
[2,8,12,5,7,11,4,6,10,1,3,9] => 00100100100 => 3
[2,12,5,11,8,10,7,9,4,6,1,3] => 01010101010 => 5
[2,12,7,11,6,10,5,9,4,8,1,3] => 01010101010 => 5
[2,12,6,9,5,8,7,11,4,10,1,3] => 01010101010 => 5
[4,12,3,11,2,6,8,10,1,5,7,9] => 01010001000 => 3
[4,10,3,9,2,6,8,12,1,5,7,11] => 01010001000 => 3
[4,3,12,9,11,2,6,8,10,1,5,7] => 10101000100 => 4
[4,8,3,7,2,6,10,12,1,5,9,11] => 01010001000 => 3
[4,8,12,3,7,11,2,6,10,1,5,9] => 00100100100 => 3
[4,3,10,7,9,2,6,8,12,1,5,11] => 10101000100 => 4
[12,4,11,3,10,7,9,2,6,8,1,5] => 10101010010 => 5
[12,4,9,3,8,7,11,2,6,10,1,5] => 10101010010 => 5
[3,6,2,5,4,8,10,12,1,7,9,11] => 01010001000 => 3
[3,6,12,2,5,11,4,8,10,1,7,9] => 00100100100 => 3
[3,6,10,2,5,9,4,8,12,1,7,11] => 00100100100 => 3
[3,5,8,2,4,7,6,10,12,1,9,11] => 00100100100 => 3
[3,5,8,12,2,4,7,11,6,10,1,9] => 00010001010 => 3
[3,5,7,10,2,4,6,9,8,12,1,11] => 00010001010 => 3
[5,10,4,9,3,8,2,7,6,12,1,11] => 01010101010 => 5
[4,8,3,7,6,12,5,11,2,10,1,9] => 01010101010 => 5
[4,7,3,6,5,10,2,9,8,12,1,11] => 01010101010 => 5
[6,12,5,11,10,9,8,7,4,3,2,1] => 01011111111 => 1
[4,2,8,1,5,7,6,3] => 1010011 => 2
[6,3,7,2,5,4,8,1] => 1010101 => 3
[5,4,7,3,2,6,8,1] => 1011001 => 2
[5,7,2,6,3,4,8,1] => 0101001 => 2
[3,7,5,4,6,2,8,1] => 0110101 => 2
[6,8,3,2,1,7,4,5] => 0111010 => 2
[4,8,1,7,5,3,2,6] => 0101110 => 2
[5,4,3,7,2,8,6,1] => 1101011 => 2
[3,6,5,7,2,8,4,1] => 0101011 => 2
[4,6,5,3,8,2,1,7] => 0110110 => 2
[2,6,5,8,7,3,1,4] => 0101110 => 2
[6,3,8,4,1,7,2,5] => 1011010 => 3
[7,2,8,1,6,4,3,5] => 1010110 => 3
[3,2,8,7,6,4,1,5] => 1011110 => 2
[8,2,6,4,3,5,1,7] => 1011010 => 3
[5,4,2,8,6,3,7,1] => 1101101 => 2
[2,8,7,5,3,1,4,6] => 0111100 => 1
[2,5,6,3,1,4,8,7] => 0011001 => 1
[2,4,7,8,5,3,1,6] => 0001110 => 1
[6,5,3,2,4,1,8,7] => 1110101 => 2
[6,5,8,7,3,2,4,1] => 1011101 => 2
[2,1,4,7,8,5,3,6] => 1000110 => 2
[8,5,6,7,3,1,4,2] => 1001101 => 2
[8,7,5,3,2,6,4,1] => 1111011 => 1
[8,5,3,1,4,6,7,2] => 1110001 => 1
[8,5,1,6,4,3,7,2] => 1101101 => 2
[6,1,4,3,7,8,2,5] => 1010010 => 3
[6,1,2,7,5,8,3,4] => 1001010 => 3
[2,7,3,1,4,6,8,5] => 0110001 => 1
[2,8,3,1,6,5,7,4] => 0110101 => 2
[3,8,5,6,7,1,2,4] => 0100100 => 2
[2,5,8,1,4,6,7,3] => 0010001 => 1
[2,1,8,7,5,4,6,3] => 1011101 => 2
[7,8,3,4,1,6,5,2] => 0101011 => 2
[8,7,3,4,2,6,5,1] => 1101011 => 2
[8,4,5,2,3,7,1,6] => 1010010 => 3
[4,7,2,8,6,3,1,5] => 0101110 => 2
[4,7,5,2,3,8,1,6] => 0110010 => 2
[6,4,7,5,2,8,3,1] => 1011011 => 2
[7,5,1,3,6,4,8,2] => 1100101 => 2
[6,5,2,3,7,8,4,1] => 1100011 => 1
[7,2,6,3,1,5,8,4] => 1011001 => 2
[4,6,3,8,7,5,1,2] => 0101110 => 2
[2,8,4,1,5,7,6,3] => 0110011 => 1
[1,8,4,2,5,7,6,3] => 0110011 => 1
[2,8,5,4,1,7,6,3] => 0111011 => 1
[2,5,8,3,7,1,6,4] => 0010101 => 2
[1,8,5,2,4,7,6,3] => 0110011 => 1
[1,4,6,2,8,7,5,3] => 0010111 => 1
[7,8,2,4,1,6,5,3] => 0101011 => 2
[2,4,6,1,8,7,5,3] => 0010111 => 1
[2,8,4,5,1,7,6,3] => 0101011 => 2
[3,5,8,2,7,6,1,4] => 0010110 => 2
[2,1,6,8,7,5,3,4] => 1001110 => 2
[1,8,2,4,5,7,6,3] => 0100011 => 1
[1,2,8,3,5,7,6,4] => 0010011 => 1
[1,3,8,2,5,7,6,4] => 0010011 => 1
[2,3,8,1,5,7,6,4] => 0010011 => 1
[2,6,1,8,7,5,3,4] => 0101110 => 2
[1,6,2,8,7,5,3,4] => 0101110 => 2
[1,6,3,8,7,5,2,4] => 0101110 => 2
[2,6,3,8,7,5,1,4] => 0101110 => 2
[3,2,8,1,5,7,6,4] => 1010011 => 2
[3,1,8,2,5,7,6,4] => 1010011 => 2
[2,8,1,4,5,7,6,3] => 0100011 => 1
[7,8,2,1,4,6,5,3] => 0110011 => 1
[2,3,6,8,7,5,1,4] => 0001110 => 1
[3,1,6,8,7,2,5,4] => 1001101 => 2
[3,8,4,5,1,6,2,7] => 0101010 => 3
[6,1,4,5,7,2,3,8] => 1000100 => 2
[8,1,4,7,6,3,2,5] => 1001110 => 2
[8,3,1,6,4,7,2,5] => 1101010 => 3
[5,3,8,6,2,7,1,4] => 1011010 => 3
[8,3,6,1,5,7,2,4] => 1010010 => 3
[8,4,6,3,1,2,5,7] => 1011000 => 2
[6,8,1,4,5,2,3,7] => 0100100 => 2
[1,5,8,4,6,2,3,7] => 0010100 => 2
[2,1,6,5,3,8,4,7] => 1011010 => 3
[5,6,8,1,4,2,3,7] => 0010100 => 2
[5,7,4,8,1,2,3,6] => 0101000 => 2
[8,2,1,5,3,7,4,6] => 1101010 => 3
[4,7,8,1,2,6,3,5] => 0010010 => 2
[8,7,1,5,6,2,3,4] => 1100100 => 2
[1,6,5,8,7,2,3,4] => 0101100 => 2
[3,7,1,6,2,4,8,5] => 0101001 => 2
[5,1,2,7,6,8,3,4] => 1001010 => 3
[6,1,7,2,5,8,3,4] => 1010010 => 3
[1,7,6,5,8,2,3,4] => 0110100 => 2
[1,6,8,5,7,2,3,4] => 0010100 => 2
[7,5,1,2,6,8,3,4] => 1100010 => 2
[6,1,5,2,7,8,3,4] => 1010010 => 3
[1,6,3,8,7,2,4,5] => 0101100 => 2
[1,7,3,2,4,6,8,5] => 0110001 => 1
[8,3,1,4,2,5,7,6] => 1101001 => 2
[3,1,2,7,8,4,6,5] => 1000101 => 2
[5,1,2,6,8,7,3,4] => 1000110 => 2
[1,8,6,2,5,7,3,4] => 0110010 => 2
[5,7,8,1,2,6,3,4] => 0010010 => 2
[8,1,5,7,6,2,3,4] => 1001100 => 2
[7,1,6,8,5,2,3,4] => 1001100 => 2
[3,7,1,2,8,4,6,5] => 0100101 => 2
[8,3,1,2,7,6,4,5] => 1100110 => 2
[1,5,8,7,6,2,3,4] => 0011100 => 1
[7,8,6,1,5,2,3,4] => 0110100 => 2
[1,9,3,4,5,6,7,8,2] => 01000001 => 1
[9,2,3,4,5,6,7,8,1,10] => 100000010 => 2
[1,9,8,4,5,6,7,3,2] => 01100011 => 1
[1,10,3,4,5,6,7,8,9,2] => 010000001 => 1
[1,10,9,4,5,6,7,8,3,2] => 011000011 => 1
[7,8,6,3,1,5,2,4] => 0111010 => 2
[7,8,1,3,4,5,2,6] => 0100010 => 2
[1,7,4,8,2,5,3,6] => 0101010 => 3
[3,8,6,1,4,2,7,5] => 0110101 => 2
[7,1,8,2,4,6,3,5] => 1010010 => 3
[7,6,8,4,1,5,3,2] => 1011011 => 2
[7,3,2,8,1,5,4,6] => 1101010 => 3
[3,5,4,1,7,2,6,8] => 0110100 => 2
[6,4,7,3,2,5,1,8] => 1011010 => 3
[7,6,5,3,8,4,1,2] => 1110110 => 2
[6,4,5,7,8,1,3,2] => 1000101 => 2
[3,7,4,1,6,8,5,2] => 0110011 => 1
[3,1,2,7,6,8,5,4] => 1001011 => 2
[6,3,2,8,4,5,1,7] => 1101010 => 3
[6,1,8,3,5,4,2,7] => 1010110 => 3
[3,8,5,2,4,6,1,7] => 0110010 => 2
[1,6,4,8,3,5,2,7] => 0101010 => 3
[1,5,4,8,6,3,7,2] => 0101101 => 2
[4,8,2,5,3,7,1,6] => 0101010 => 3
[3,8,4,5,2,6,7,1] => 0101001 => 2
[4,1,8,6,5,3,7,2] => 1011101 => 2
[5,7,8,4,6,3,2,1] => 0010111 => 1
[5,3,2,8,6,4,7,1] => 1101101 => 2
[6,8,1,2,7,4,3,5] => 0100110 => 2
[5,8,7,3,6,2,4,1] => 0110101 => 2
[7,5,2,3,4,8,6,1] => 1100011 => 1
[7,3,5,4,2,8,6,1] => 1011011 => 2
[5,6,1,3,2,4,7,8] => 0101000 => 2
[2,5,1,3,7,8,6,4] => 0100011 => 1
[4,3,7,2,1,8,6,5] => 1011011 => 2
[4,6,7,2,1,3,5,8] => 0011000 => 1
[4,6,2,3,1,5,7,8] => 0101000 => 2
[3,6,4,2,5,1,7,8] => 0110100 => 2
[3,1,6,4,7,5,2,8] => 1010110 => 3
[3,6,2,7,5,4,1,8] => 0101110 => 2
[2,4,7,5,3,6,1,8] => 0011010 => 2
[2,5,7,3,4,1,6,8] => 0010100 => 2
[2,3,5,8,6,4,7,1] => 0001101 => 1
[2,4,7,3,8,6,5,1] => 0010111 => 1
[3,4,2,7,5,8,6,1] => 0101011 => 2
[3,1,5,4,7,8,6,2] => 1010011 => 2
[4,5,7,2,3,1,8,6] => 0010101 => 2
[3,7,8,1,4,6,5,2] => 0010011 => 1
[2,5,8,7,4,1,3,6] => 0011100 => 1
[2,6,4,7,5,3,8,1] => 0101101 => 2
[6,2,4,7,1,3,8,5] => 1001001 => 2
[7,3,5,1,4,2,8,6] => 1010101 => 3
[5,4,7,1,3,2,8,6] => 1010101 => 3
[6,1,4,7,5,3,8,2] => 1001101 => 2
[8,7,4,3,1,5,6,2] => 1111001 => 1
[8,7,1,4,3,5,6,2] => 1101001 => 2
[6,1,8,4,7,3,2,5] => 1010110 => 3
[4,7,3,6,1,2,8,5] => 0101001 => 2
[5,2,1,7,4,3,8,6] => 1101101 => 2
[4,7,6,2,3,1,8,5] => 0110101 => 2
[7,6,8,2,5,3,4,1] => 1010101 => 3
[2,3,6,1,8,7,5,4] => 0010111 => 1
[2,6,8,7,5,3,1,4] => 0011110 => 1
[6,4,1,7,5,2,8,3] => 1101101 => 2
[5,7,8,2,3,6,1,4] => 0010010 => 2
[4,8,7,1,2,5,6,3] => 0110001 => 1
[2,8,7,4,1,5,6,3] => 0111001 => 1
[8,6,2,1,5,7,4,3] => 1110011 => 1
[3,8,6,7,5,2,1,4] => 0101110 => 2
[6,1,3,7,5,8,2,4] => 1001010 => 3
[4,7,3,1,8,5,6,2] => 0110101 => 2
[2,6,7,5,3,4,8,1] => 0011001 => 1
[2,6,4,5,7,3,8,1] => 0100101 => 2
[6,1,4,5,8,3,7,2] => 1000101 => 2
[6,1,8,5,3,4,7,2] => 1011001 => 2
[4,1,5,6,8,3,7,2] => 1000101 => 2
[6,4,1,8,7,2,5,3] => 1101101 => 2
[8,1,2,3,4,5,6,7,10,9] => 100000001 => 1
[1,7,2,3,4,5,6,9,8] => 01000001 => 1
[1,3,8,5,2,7,4,6] => 0011010 => 2
[1,3,8,6,7,2,4,5] => 0010100 => 2
[2,8,3,7,6,1,4,5] => 0101100 => 2
[4,2,7,8,6,1,3,5] => 1001100 => 2
[1,3,8,7,6,2,4,5] => 0011100 => 1
[7,4,6,8,5,2,3,1] => 1001101 => 2
[7,5,3,6,8,2,1,4] => 1100110 => 2
[5,2,6,7,8,1,3,4] => 1000100 => 2
[4,5,6,8,1,2,7,3] => 0001001 => 1
[3,5,8,6,1,2,7,4] => 0011001 => 1
[4,2,6,8,7,1,3,5] => 1001100 => 2
[1,4,6,8,7,2,3,5] => 0001100 => 1
[4,5,3,8,1,7,2,6] => 0101010 => 3
[3,5,8,4,1,7,2,6] => 0011010 => 2
[1,6,5,7,8,2,3,4] => 0100100 => 2
[5,6,4,8,2,3,7,1] => 0101001 => 2
[6,5,4,8,1,3,7,2] => 1101001 => 2
[7,6,4,8,5,1,3,2] => 1101101 => 2
[7,2,6,5,8,1,3,4] => 1010100 => 3
[6,3,7,5,2,4,8,1] => 1011001 => 2
[8,1,2,7,4,5,3,6] => 1001010 => 3
[2,5,7,4,6,1,3,8] => 0010100 => 2
[6,1,7,4,5,3,8,2] => 1010101 => 3
[8,2,7,3,1,5,4,6] => 1011010 => 3
[2,6,4,8,3,1,7,5] => 0101101 => 2
[8,1,3,7,5,6,4,2] => 1001011 => 2
[1,2,5,3,8,6,7,4] => 0010101 => 2
[4,1,6,5,7,8,2,3] => 1010010 => 3
[6,1,3,7,4,2,8,5] => 1001101 => 2
[6,7,2,4,1,3,8,5] => 0101001 => 2
[7,3,8,4,2,6,5,1] => 1011011 => 2
[8,5,3,4,2,7,1,6] => 1101010 => 3
[1,3,8,2,5,6,7,4] => 0010001 => 1
[1,8,6,7,2,5,4,3] => 0101011 => 2
[7,6,8,3,5,4,2,1] => 1010111 => 2
[1,6,7,3,8,5,4,2] => 0010111 => 1
[8,7,2,4,6,1,5,3] => 1100101 => 2
[7,8,6,5,2,4,3,1] => 0111011 => 1
[3,6,7,5,2,8,4,1] => 0011011 => 1
[5,4,6,7,8,1,3,2] => 1000101 => 2
[5,3,6,7,8,1,4,2] => 1000101 => 2
[5,3,7,6,8,4,1,2] => 1010110 => 3
[7,5,3,2,8,6,4,1] => 1110111 => 1
[5,4,8,6,7,2,3,1] => 1010101 => 3
[5,4,8,6,3,1,2,7] => 1011100 => 2
[4,5,7,3,6,2,8,1] => 0010101 => 2
[4,5,6,3,8,2,7,1] => 0010101 => 2
[5,4,8,7,2,1,3,6] => 1011100 => 2
[2,5,4,7,8,1,3,6] => 0100100 => 2
[5,3,6,4,8,2,7,1] => 1010101 => 3
[5,3,7,4,6,2,8,1] => 1010101 => 3
[8,2,6,3,7,4,5,1] => 1010101 => 3
[8,2,4,7,3,5,6,1] => 1001001 => 2
[8,2,6,5,7,3,4,1] => 1010101 => 3
[4,5,6,2,7,3,8,1] => 0010101 => 2
[5,4,6,2,8,3,7,1] => 1010101 => 3
[8,4,6,1,7,2,5,3] => 1010101 => 3
[5,2,1,6,3,8,7,4] => 1101011 => 2
[4,5,6,3,7,1,8,2] => 0010101 => 2
[6,3,2,8,5,4,1,7] => 1101110 => 2
[4,3,1,5,2,8,6,7] => 1101010 => 3
[8,5,4,1,3,2,6,7] => 1110100 => 2
[3,8,4,1,5,2,6,7] => 0110100 => 2
[2,5,4,3,8,1,6,7] => 0110100 => 2
[2,5,7,4,3,1,6,8] => 0011100 => 1
[5,3,4,2,7,1,6,8] => 1010100 => 3
[3,7,5,4,1,2,6,8] => 0111000 => 1
[4,2,5,1,3,8,7,6] => 1010011 => 2
[4,3,5,1,2,7,6,8] => 1010010 => 3
[5,3,4,1,7,2,6,8] => 1010100 => 3
[4,1,6,3,5,2,7,8] => 1010100 => 3
[4,2,1,8,6,3,7,5] => 1101101 => 2
[3,1,7,2,5,6,4,8] => 1010010 => 3
[3,7,5,4,2,1,6,8] => 0111100 => 1
[3,7,2,4,1,6,5,8] => 0101010 => 3
[7,3,2,1,6,4,5,8] => 1110100 => 2
[2,8,6,1,7,4,3,5] => 0110110 => 2
[2,5,4,6,1,3,7,8] => 0101000 => 2
[2,5,6,4,1,3,7,8] => 0011000 => 1
[8,5,2,6,1,3,7,4] => 1101001 => 2
[7,1,5,6,3,2,4,8] => 1001100 => 2
[7,1,2,5,4,6,3,8] => 1001010 => 3
[2,4,1,6,5,3,7,8] => 0101100 => 2
[4,1,2,7,5,6,3,8] => 1001010 => 3
[7,1,2,6,5,4,3,8] => 1001110 => 2
[8,2,1,5,6,3,7,4] => 1100101 => 2
[6,1,4,5,3,2,7,8] => 1001100 => 2
[3,1,6,5,4,2,7,8] => 1011100 => 2
[3,1,4,6,5,2,7,8] => 1001100 => 2
[6,4,1,5,3,2,8,7] => 1101101 => 2
[2,1,8,6,3,7,5,4] => 1011011 => 2
[5,8,3,1,7,6,4,2] => 0110111 => 1
[7,6,3,2,8,5,1,4] => 1110110 => 2
[5,6,3,8,7,4,1,2] => 0101110 => 2
[5,2,6,8,7,4,1,3] => 1001110 => 2
[6,3,8,5,4,1,2,7] => 1011100 => 2
[6,3,8,4,5,1,2,7] => 1010100 => 3
[5,2,3,1,4,8,6,7] => 1010010 => 3
[5,4,1,3,2,8,6,7] => 1101010 => 3
[5,1,3,4,2,8,6,7] => 1001010 => 3
[5,2,1,4,3,8,6,7] => 1101010 => 3
[4,2,7,3,8,5,1,6] => 1010110 => 3
[4,7,3,2,8,5,1,6] => 0110110 => 2
[4,3,7,2,8,5,6,1] => 1010101 => 3
[5,3,1,2,4,8,6,7] => 1100010 => 2
[5,4,3,1,2,8,6,7] => 1110010 => 2
[5,3,4,1,2,8,6,7] => 1010010 => 3
[5,2,3,4,1,8,6,7] => 1001010 => 3
[5,1,7,3,4,6,8,2] => 1010001 => 2
[5,8,7,4,3,1,6,2] => 0111101 => 1
[6,8,1,3,4,5,7,2] => 0100001 => 1
[3,5,2,8,1,6,7,4] => 0101001 => 2
[3,1,7,8,2,5,4,6] => 1001010 => 3
[6,2,3,7,4,1,8,5] => 1001101 => 2
[6,3,7,4,1,2,5,8] => 1011000 => 2
[3,7,2,8,6,5,1,4] => 0101110 => 2
[3,6,7,5,1,2,4,8] => 0011000 => 1
[7,4,5,1,8,2,3,6] => 1010100 => 3
[7,2,3,1,8,4,5,6] => 1010100 => 3
[2,1,4,8,3,7,5,6] => 1001010 => 3
[4,8,1,6,7,3,2,5] => 0100110 => 2
[1,2,7,8,4,3,6,5] => 0001101 => 1
[5,8,1,4,3,2,7,6] => 0101101 => 2
[4,8,1,3,5,6,2,7] => 0100010 => 2
[5,3,7,8,4,2,6,1] => 1001101 => 2
[6,3,7,8,2,4,5,1] => 1001001 => 2
[8,5,2,4,3,1,7,6] => 1101101 => 2
[7,5,4,2,3,1,8,6] => 1110101 => 2
[3,5,6,4,8,1,7,2] => 0010101 => 2
[3,5,4,6,7,1,8,2] => 0100101 => 2
[1,4,2,6,5,8,7,3] => 0101011 => 2
[1,3,2,6,4,8,7,5] => 0101011 => 2
[1,4,2,5,3,8,7,6] => 0101011 => 2
[1,5,2,6,4,8,7,3] => 0101011 => 2
[1,6,2,5,3,8,7,4] => 0101011 => 2
[2,5,1,4,3,8,7,6] => 0101011 => 2
[1,7,3,5,4,8,6,2] => 0101011 => 2
[1,8,2,6,3,7,5,4] => 0101011 => 2
[1,8,3,6,4,7,5,2] => 0101011 => 2
[1,7,2,6,4,8,5,3] => 0101011 => 2
[1,7,2,6,3,8,5,4] => 0101011 => 2
[1,5,2,7,4,8,6,3] => 0101011 => 2
[1,4,2,8,5,7,6,3] => 0101011 => 2
[4,8,1,3,2,6,5,7] => 0101010 => 3
[1,5,3,8,4,7,6,2] => 0101011 => 2
[1,8,4,7,3,6,5,2] => 0101011 => 2
[2,6,3,8,1,5,4,7] => 0101010 => 3
[8,3,1,4,2,6,5,7] => 1101010 => 3
[4,8,7,3,5,2,1,6] => 0110110 => 2
[6,8,7,3,5,2,4,1] => 0110101 => 2
[8,3,5,1,2,6,4,7] => 1010010 => 3
[8,6,3,1,5,4,2,7] => 1110110 => 2
[8,6,4,1,5,3,2,7] => 1110110 => 2
[8,6,5,4,1,3,2,7] => 1111010 => 2
[5,3,8,7,4,6,2,1] => 1011011 => 2
[2,3,8,7,4,6,1,5] => 0011010 => 2
[8,3,5,7,4,1,2,6] => 1001100 => 2
[4,8,5,3,1,2,7,6] => 0111001 => 1
[6,8,7,3,1,5,4,2] => 0111011 => 1
[6,8,5,4,1,3,7,2] => 0111001 => 1
[2,5,8,7,4,6,3,1] => 0011011 => 1
[4,8,7,6,5,1,3,2] => 0111101 => 1
[3,8,7,5,1,6,2,4] => 0111010 => 2
[2,3,8,7,5,6,1,4] => 0011010 => 2
[2,8,7,1,3,6,4,5] => 0110010 => 2
[8,5,4,7,2,1,3,6] => 1101100 => 2
[6,8,7,3,5,2,1,4] => 0110110 => 2
[3,5,8,6,4,2,7,1] => 0011101 => 1
[6,8,4,1,5,2,7,3] => 0110101 => 2
[6,8,2,1,7,5,3,4] => 0110110 => 2
[5,8,4,6,1,2,7,3] => 0101001 => 2
[2,4,8,6,5,1,7,3] => 0011101 => 1
[4,8,7,6,5,2,1,3] => 0111110 => 1
[4,8,7,5,1,6,2,3] => 0111010 => 2
[4,5,2,1,8,6,7,3] => 0110101 => 2
[4,5,8,3,1,6,7,2] => 0011001 => 1
[5,7,2,8,4,6,1,3] => 0101010 => 3
[6,7,3,2,4,8,5,1] => 0110011 => 1
[7,2,8,6,4,5,1,3] => 1011010 => 3
[8,7,2,6,5,1,3,4] => 1101100 => 2
[5,2,7,8,4,1,3,6] => 1001100 => 2
[2,7,8,6,4,1,3,5] => 0011100 => 1
[7,6,3,5,2,8,4,1] => 1101011 => 2
[6,2,7,4,8,5,3,1] => 1010111 => 2
[8,6,5,1,7,2,4,3] => 1110101 => 2
[6,8,5,1,7,3,2,4] => 0110110 => 2
[1,6,8,3,7,4,2,5] => 0010110 => 2
[5,1,6,3,4,8,2,7] => 1010010 => 3
[3,5,2,6,4,8,1,7] => 0101010 => 3
[3,5,2,4,8,1,7,6] => 0100101 => 2
[6,3,8,2,4,1,7,5] => 1010101 => 3
[4,6,3,8,7,5,2,1] => 0101111 => 1
[6,3,8,7,5,4,2,1] => 1011111 => 1
[6,8,4,2,1,7,5,3] => 0111011 => 1
[5,2,6,4,3,8,1,7] => 1011010 => 3
[6,5,3,1,4,8,2,7] => 1110010 => 2
[3,1,7,8,6,4,2,5] => 1001110 => 2
[3,8,1,7,6,2,5,4] => 0101101 => 2
[8,1,7,6,4,2,5,3] => 1011101 => 2
[7,2,6,3,8,5,4,1] => 1010111 => 2
[7,3,8,6,4,1,5,2] => 1011101 => 2
[1,7,5,8,2,4,3,6] => 0101010 => 3
[6,1,5,2,4,8,3,7] => 1010010 => 3
[1,5,6,3,8,2,4,7] => 0010100 => 2
[8,7,1,3,6,5,2,4] => 1100110 => 2
[2,6,7,4,3,8,5,1] => 0011011 => 1
[5,2,4,7,3,8,6,1] => 1001011 => 2
[1,5,8,7,2,4,6,3] => 0011001 => 1
[1,4,8,7,3,6,5,2] => 0011011 => 1
[8,3,7,2,5,1,6,4] => 1010101 => 3
[3,7,2,8,1,5,4,6] => 0101010 => 3
[3,2,6,1,5,8,4,7] => 1010010 => 3
[7,2,1,5,8,4,3,6] => 1100110 => 2
[7,2,8,1,4,3,6,5] => 1010101 => 3
[1,7,8,3,2,6,5,4] => 0011011 => 1
[1,7,4,8,3,2,6,5] => 0101101 => 2
[1,7,5,4,8,3,2,6] => 0110110 => 2
[6,1,5,4,3,8,2,7] => 1011010 => 3
[1,7,4,5,6,8,2,3] => 0100010 => 2
[1,3,4,5,6,7,9,8,2] => 00000011 => 0
[2,3,4,5,6,7,9,8,1,10] => 000000110 => 1
[7,3,4,5,6,8,1,2,9] => 10000100 => 2
[2,3,4,5,7,6,8,1,9] => 00001010 => 2
[1,8,4,5,6,7,9,2,3] => 01000010 => 2
[1,3,4,5,6,8,7,9,2] => 00000101 => 1
[1,3,4,5,6,7,8,10,9,2] => 000000011 => 0
[1,6,4,2,3,5,7,8] => 0110000 => 1
[1,8,7,2,3,4,5,6] => 0110000 => 1
[1,5,8,6,2,3,4,7] => 0011000 => 1
[1,6,5,7,2,3,4,8] => 0101000 => 2
[1,7,5,6,2,3,4,8] => 0101000 => 2
[1,3,2,7,6,4,5,8] => 0101100 => 2
[1,2,3,7,6,4,5,8] => 0001100 => 1
[1,5,4,2,3,7,6,8] => 0110010 => 2
[1,5,4,2,3,8,6,7] => 0110010 => 2
[1,3,2,8,6,4,5,7] => 0101100 => 2
[1,7,5,8,2,3,4,6] => 0101000 => 2
[1,8,7,5,2,3,4,6] => 0111000 => 1
[2,1,5,8,6,3,7,4] => 1001101 => 2
[2,5,8,4,6,1,7,3] => 0010101 => 2
[2,5,3,8,6,1,7,4] => 0101101 => 2
[2,6,3,5,8,1,7,4] => 0100101 => 2
[6,3,2,5,8,1,7,4] => 1100101 => 2
[5,3,2,8,6,1,7,4] => 1101101 => 2
[5,8,4,6,1,3,7,2] => 0101001 => 2
[5,3,8,6,1,4,7,2] => 1011001 => 2
[2,6,5,4,8,1,7,3] => 0110101 => 2
[8,3,5,7,2,6,4,1] => 1001011 => 2
[2,4,6,8,5,3,7,1] => 0001101 => 1
[2,4,8,1,7,6,5,3] => 0010111 => 1
[4,3,8,1,5,7,6,2] => 1010011 => 2
[3,8,4,1,5,7,6,2] => 0110011 => 1
[4,3,6,8,5,2,7,1] => 1001101 => 2
[8,5,4,7,2,6,3,1] => 1101011 => 2
[3,6,8,5,4,2,7,1] => 0011101 => 1
[3,6,4,8,5,2,7,1] => 0101101 => 2
[3,6,4,1,8,2,7,5] => 0110101 => 2
[3,6,4,1,5,2,8,7] => 0110101 => 2
[4,8,6,5,1,3,7,2] => 0111001 => 1
[2,8,3,5,6,7,1,4] => 0100010 => 2
[5,6,2,4,7,1,8,3] => 0100101 => 2
[2,7,5,4,6,1,8,3] => 0110101 => 2
[2,3,7,4,6,1,8,5] => 0010101 => 2
[2,6,7,4,1,3,8,5] => 0011001 => 1
[6,5,7,4,1,3,8,2] => 1011001 => 2
[2,4,6,3,5,7,8,1] => 0010001 => 1
[4,1,6,3,5,7,8,2] => 1010001 => 2
[3,6,4,2,5,7,8,1] => 0110001 => 1
[2,3,6,1,5,7,8,4] => 0010001 => 1
[4,3,6,2,5,7,8,1] => 1010001 => 2
[4,6,1,2,5,7,8,3] => 0100001 => 1
[2,6,4,1,5,7,8,3] => 0110001 => 1
[2,4,1,6,5,7,8,3] => 0101001 => 2
[7,5,4,2,6,1,8,3] => 1110101 => 2
[4,7,3,1,8,6,5,2] => 0110111 => 1
[5,6,4,2,7,1,8,3] => 0110101 => 2
[4,2,7,5,3,1,8,6] => 1011101 => 2
[5,3,6,4,8,2,1,7] => 1010110 => 3
[7,3,2,5,4,1,8,6] => 1101101 => 2
[7,3,2,5,1,8,6,4] => 1101011 => 2
[4,6,3,8,7,2,1,5] => 0101110 => 2
[4,7,6,3,8,2,1,5] => 0110110 => 2
[4,7,3,8,6,2,1,5] => 0101110 => 2
[5,7,3,2,6,1,8,4] => 0110101 => 2
[5,7,3,2,6,4,1,8] => 0110110 => 2
[2,7,5,3,1,8,6,4] => 0111011 => 1
[7,5,2,8,4,3,1,6] => 1101110 => 2
[7,3,2,4,1,8,6,5] => 1101011 => 2
[8,4,3,2,7,5,1,6] => 1110110 => 2
[4,3,7,5,8,2,1,6] => 1010110 => 3
[8,4,5,3,7,2,1,6] => 1010110 => 3
[4,3,5,2,8,6,1,7] => 1010110 => 3
[4,5,3,6,8,2,1,7] => 0100110 => 2
[1,2,3,4,5,9,7,8,6] => 00000101 => 1
[1,2,3,4,9,6,7,8,5] => 00001001 => 1
[1,2,3,9,5,6,7,8,4] => 00010001 => 1
[1,2,9,4,5,6,7,8,3] => 00100001 => 1
[1,2,3,4,5,6,10,8,9,7] => 000000101 => 1
[1,2,3,4,9,7,6,8,5] => 00001101 => 1
[1,2,3,4,5,10,7,8,9,6] => 000001001 => 1
[1,2,8,6,4,5,7,3] => 0011001 => 1
[1,2,3,9,6,5,7,8,4] => 00011001 => 1
[1,2,3,4,10,6,7,8,9,5] => 000010001 => 1
[1,8,5,3,4,6,7,2] => 0110001 => 1
[1,2,9,5,4,6,7,8,3] => 00110001 => 1
[1,2,3,10,5,6,7,8,9,4] => 000100001 => 1
[1,9,4,3,5,6,7,8,2] => 01100001 => 1
[1,2,10,4,5,6,7,8,9,3] => 001000001 => 1
[9,3,2,4,5,6,7,8,1] => 11000001 => 1
[10,2,3,4,5,6,7,8,9,1] => 100000001 => 1
[3,5,6,7,8,9,4,2,1] => 00000111 => 0
[7,8,4,1,6,3,5,2] => 0110101 => 2
[8,7,5,6,1,3,4,2] => 1101001 => 2
[1,2,3,5,7,4,6,9,8] => 00001001 => 1
[1,2,3,6,4,7,5,9,8] => 00010101 => 2
[1,2,3,4,6,8,5,7,10,9] => 000001001 => 1
[1,2,3,4,6,8,5,7,9] => 00000100 => 1
[1,2,3,4,7,5,8,6,9] => 00001010 => 2
[1,2,3,4,7,5,8,6,10,9] => 000010101 => 2
[1,2,3,4,6,8,5,7,10,9,11] => 0000010010 => 2
[1,2,3,5,7,4,6,9,8,10] => 000010010 => 2
[1,2,5,7,3,4,6,9,8] => 00010001 => 1
[1,2,4,5,7,3,6,9,8] => 00001001 => 1
[1,2,6,3,4,7,5,9,8] => 00100101 => 2
[1,2,5,6,3,7,4,9,8] => 00010101 => 2
[1,2,3,6,4,7,5,9,8,10] => 000101010 => 3
[1,2,3,4,7,5,8,6,10,9,11] => 0000101010 => 3
[3,2,6,4,1,8,5,7] => 1011010 => 3
[2,8,6,5,3,1,4,7] => 0111100 => 1
[5,4,8,6,2,3,1,7] => 1011010 => 3
[4,8,7,5,2,3,1,6] => 0111010 => 2
[5,2,4,7,6,8,3,1] => 1001011 => 2
[3,4,2,8,7,5,1,6] => 0101110 => 2
[8,5,7,6,3,2,4,1] => 1011101 => 2
[6,4,1,8,7,3,2,5] => 1101110 => 2
[1,8,5,4,2,7,3,6] => 0111010 => 2
[3,6,5,8,2,7,4,1] => 0101011 => 2
[8,3,2,7,4,6,5,1] => 1101011 => 2
[7,5,8,4,1,3,6,2] => 1011001 => 2
[7,1,6,2,3,8,4,5] => 1010010 => 3
[6,4,7,1,3,2,8,5] => 1010101 => 3
[5,1,3,8,7,2,6,4] => 1001101 => 2
[8,7,1,6,2,5,3,4] => 1101010 => 3
[3,8,5,2,4,7,6,1] => 0110011 => 1
[7,1,5,2,4,8,3,6] => 1010010 => 3
[3,8,5,1,4,7,2,6] => 0110010 => 2
[7,2,5,4,1,3,8,6] => 1011001 => 2
[7,5,8,1,6,3,2,4] => 1010110 => 3
[7,1,4,8,5,6,2,3] => 1001010 => 3
[2,3,1,9,4,5,6,7,8] => 01010000 => 2
[4,9,1,2,3,5,6,7,8] => 01000000 => 1
[3,9,1,2,4,5,6,7,8] => 01000000 => 1
[1,8,2,3,4,5,6,7,9] => 01000000 => 1
[7,4,6,1,3,2,5,8] => 1010100 => 3
[1,4,5,8,6,3,2,7] => 0001110 => 1
[8,4,5,7,2,6,1,3] => 1001010 => 3
[4,5,2,6,7,3,1,8] => 0100110 => 2
[8,1,7,5,3,6,2,4] => 1011010 => 3
[5,2,8,3,6,1,4,7] => 1010100 => 3
[5,2,6,3,1,7,8,4] => 1011001 => 2
[4,3,5,1,6,7,8,2] => 1010001 => 2
[5,7,6,1,2,3,8,4] => 0110001 => 1
[3,6,7,5,1,2,8,4] => 0011001 => 1
[1,7,6,8,5,2,4,3] => 0101101 => 2
[5,7,6,8,1,2,4,3] => 0101001 => 2
[5,6,3,7,1,4,8,2] => 0101001 => 2
[5,3,2,1,8,6,4,7] => 1110110 => 2
[9,8,7,5,6,4,3,2,1] => 11101111 => 1
[2,1,9,8,6,7,5,4,3] => 10110111 => 2
[10,9,8,7,5,6,4,3,2,1] => 111101111 => 1
[9,8,7,5,4,6,3,2,1] => 11110111 => 1
[9,8,7,4,6,5,3,2,1] => 11101111 => 1
[2,1,9,8,6,5,7,4,3] => 10111011 => 2
[2,1,9,8,5,7,6,4,3] => 10110111 => 2
[2,1,10,9,8,6,7,5,4,3] => 101110111 => 2
[1,8,7,6,5,4,3,2,9] => 01111110 => 1
[1,9,8,7,6,5,4,3,2,10] => 011111110 => 1
[2,1,8,7,6,5,4,3,9] => 10111110 => 2
[2,8,9,7,6,5,4,3,1] => 00111111 => 0
[7,8,6,1,4,5,2,3] => 0110010 => 2
[1,8,5,4,6,7,2,3] => 0110010 => 2
[6,5,8,3,7,2,1,4] => 1010110 => 3
[7,8,5,3,6,2,1,4] => 0110110 => 2
[7,8,5,3,6,2,4,1] => 0110101 => 2
[7,8,4,3,2,6,5,1] => 0111011 => 1
[1,8,4,3,2,6,7,5] => 0111001 => 1
[5,4,3,8,2,1,7,6] => 1101101 => 2
[6,4,8,3,2,1,7,5] => 1011101 => 2
[1,8,4,3,2,7,6,5] => 0111011 => 1
[6,5,8,3,1,2,7,4] => 1011001 => 2
[1,8,6,7,3,2,4,5] => 0101100 => 2
[7,8,6,1,3,2,4,5] => 0110100 => 2
[1,8,4,3,2,7,5,6] => 0111010 => 2
[5,4,3,8,2,1,6,7] => 1101100 => 2
[1,8,4,3,2,5,7,6] => 0111001 => 1
[5,4,3,8,2,6,7,1] => 1101001 => 2
[4,5,6,7,8,1,2,9,3] => 00001001 => 1
[4,5,6,7,1,2,8,9,3] => 00010001 => 1
[4,5,6,1,2,7,8,9,3] => 00100001 => 1
[4,5,1,2,6,7,8,9,3] => 01000001 => 1
[6,4,2,3,5,1,8,7] => 1100101 => 2
[5,2,3,6,1,4,8,7] => 1001001 => 2
[5,2,3,8,6,4,7,1] => 1001101 => 2
[5,2,3,7,4,8,1,6] => 1001010 => 3
[8,6,3,2,5,4,7,1] => 1110101 => 2
[7,2,3,4,5,8,1,6] => 1000010 => 2
[7,2,8,1,5,3,4,6] => 1010100 => 3
[3,8,6,4,7,2,5,1] => 0110101 => 2
[2,1,8,6,4,5,7,3] => 1011001 => 2
[4,8,2,5,7,3,1,6] => 0100110 => 2
[5,8,2,3,4,7,1,6] => 0100010 => 2
[6,3,4,7,8,2,1,5] => 1000110 => 2
[3,8,5,1,4,7,6,2] => 0110011 => 1
[4,8,5,1,3,6,7,2] => 0110001 => 1
[4,6,8,5,2,7,3,1] => 0011011 => 1
[3,7,8,5,2,6,4,1] => 0011011 => 1
[3,8,6,2,7,4,5,1] => 0110101 => 2
[8,5,4,7,1,3,6,2] => 1101001 => 2
[7,3,6,2,8,1,5,4] => 1010101 => 3
[8,1,5,2,3,7,6,4] => 1010011 => 2
[6,4,2,3,7,8,5,1] => 1100011 => 1
[8,4,2,3,6,7,1,5] => 1100010 => 2
[4,5,8,3,7,2,1,6] => 0010110 => 2
[3,7,2,8,4,5,1,6] => 0101010 => 3
[3,5,1,8,4,6,2,7] => 0101010 => 3
[4,2,1,5,6,8,3,7] => 1100010 => 2
[4,1,2,6,5,8,3,7] => 1001010 => 3
[4,1,8,3,2,6,7,5] => 1011001 => 2
[4,2,7,5,8,1,3,6] => 1010100 => 3
[4,6,2,7,8,3,1,5] => 0100110 => 2
[4,6,1,3,8,2,5,7] => 0100100 => 2
[4,3,6,2,1,8,7,5] => 1011011 => 2
[3,7,4,5,1,6,2,8] => 0101010 => 3
[3,6,4,5,8,2,1,7] => 0100110 => 2
[6,1,4,5,2,8,7,3] => 1001011 => 2
[7,2,4,5,1,6,3,8] => 1001010 => 3
[7,5,4,1,6,3,2,8] => 1110110 => 2
[1,5,4,8,6,3,2,7] => 0101110 => 2
[7,5,4,8,6,3,1,2] => 1101110 => 2
[1,8,7,5,3,6,4,2] => 0111011 => 1
[8,3,7,4,1,6,2,5] => 1011010 => 3
[8,5,4,1,6,3,2,7] => 1110110 => 2
[1,7,4,2,6,5,3,8] => 0110110 => 2
[8,2,1,5,6,7,3,4] => 1100010 => 2
[6,3,1,8,4,7,2,5] => 1101010 => 3
[7,1,4,8,6,3,2,5] => 1001110 => 2
[4,1,8,5,6,7,2,3] => 1010010 => 3
[5,7,4,8,6,2,1,3] => 0101110 => 2
[5,3,6,8,2,7,1,4] => 1001010 => 3
[6,3,7,4,8,2,1,5] => 1010110 => 3
[5,3,6,1,4,7,2,8] => 1010010 => 3
[4,3,6,8,2,7,1,5] => 1001010 => 3
[5,3,7,4,8,2,1,6] => 1010110 => 3
[5,3,8,4,1,6,2,7] => 1011010 => 3
[5,3,8,1,4,7,2,6] => 1010010 => 3
[5,8,4,1,6,3,2,7] => 0110110 => 2
[7,3,8,4,1,6,2,5] => 1011010 => 3
[1,5,8,3,6,7,4,2] => 0010011 => 1
[1,8,2,5,6,7,3,4] => 0100010 => 2
[7,8,4,1,6,5,2,3] => 0110110 => 2
[6,3,8,1,5,7,2,4] => 1010010 => 3
[8,3,1,2,5,7,4,6] => 1100010 => 2
[8,1,4,2,6,5,3,7] => 1010110 => 3
[7,8,1,2,3,4,5,9,6] => 01000001 => 1
[2,8,9,1,3,4,5,6,7] => 00100000 => 1
[2,8,9,10,1,3,4,5,6,7] => 000100000 => 1
[7,1,8,2,9,3,4,5,6] => 10101000 => 3
[6,1,7,2,8,3,9,4,5] => 10101010 => 4
[5,1,6,2,7,3,8,4,9] => 10101010 => 4
[8,1,9,2,10,3,4,5,6,7] => 101010000 => 3
[7,1,8,2,3,9,4,5,6] => 10100100 => 3
[7,1,8,2,9,3,10,4,5,6] => 101010100 => 4
[6,1,7,2,8,3,4,9,5] => 10101001 => 3
[5,1,6,2,7,3,9,4,8] => 10101010 => 4
[5,1,6,2,7,3,8,4,10,9] => 101010101 => 4
[4,1,5,2,7,3,8,6,9] => 10101010 => 4
[4,1,5,2,6,3,8,7,10,9] => 101010101 => 4
[5,1,3,7,4,8,2,6] => 1001010 => 3
[5,1,3,4,7,8,2,6] => 1000010 => 2
[2,5,8,7,4,3,6,1] => 0011101 => 1
[5,1,7,8,3,4,2,6] => 1001010 => 3
[2,5,4,8,3,7,6,1] => 0101011 => 2
[5,6,8,2,3,4,1,7] => 0010010 => 2
[2,3,5,7,4,6,8,1] => 0001001 => 1
[3,7,4,5,8,1,2,6] => 0100100 => 2
[3,7,8,1,4,5,2,6] => 0010010 => 2
[5,8,2,1,6,3,4,7] => 0110100 => 2
[4,8,1,3,7,5,2,6] => 0100110 => 2
[2,4,7,8,5,3,6,1] => 0001101 => 1
[5,3,1,4,7,2,8,6] => 1100101 => 2
[4,3,8,5,1,2,7,6] => 1011001 => 2
[2,4,7,5,8,3,6,1] => 0010101 => 2
[4,3,5,8,2,1,7,6] => 1001101 => 2
[4,8,5,7,3,1,2,6] => 0101100 => 2
[4,8,7,5,1,3,2,6] => 0111010 => 2
[4,2,8,5,1,3,6,7] => 1011000 => 2
[3,7,8,4,1,5,2,6] => 0011010 => 2
[3,4,7,5,8,2,1,6] => 0010110 => 2
[1,8,5,7,2,4,3,6] => 0101010 => 3
[1,8,5,4,2,3,6,7] => 0111000 => 1
[1,3,6,8,5,4,2,7] => 0001110 => 1
[1,6,3,8,2,7,4,5] => 0101010 => 3
[1,8,2,3,6,7,5,4] => 0100011 => 1
[1,3,6,8,2,7,5,4] => 0001011 => 1
[1,6,5,4,3,8,2,7] => 0111010 => 2
[1,8,3,4,5,6,2,7] => 0100010 => 2
[1,8,3,6,2,4,5,7] => 0101000 => 2
[1,4,5,8,3,6,2,7] => 0001010 => 2
[1,2,7,8,4,5,3,6] => 0001010 => 2
[7,2,8,5,6,3,4,1] => 1010101 => 3
[7,6,3,8,5,4,2,1] => 1101111 => 1
[6,2,8,7,5,4,1,3] => 1011110 => 2
[6,2,8,4,3,7,1,5] => 1011010 => 3
[5,2,8,4,3,1,7,6] => 1011101 => 2
[1,5,7,3,6,2,8,4] => 0010101 => 2
[1,2,5,4,8,3,7,6] => 0010101 => 2
[1,4,3,6,8,7,2,5] => 0100110 => 2
[3,2,5,7,6,8,1,4] => 1001010 => 3
[5,3,2,6,8,4,7,1] => 1100101 => 2
[3,1,8,6,4,7,2,5] => 1011010 => 3
[3,1,6,8,5,4,2,7] => 1001110 => 2
[5,3,2,8,7,6,4,1] => 1101111 => 1
[5,3,8,2,7,6,1,4] => 1010110 => 3
[6,5,4,8,3,7,2,1] => 1101011 => 2
[4,8,5,1,3,7,2,6] => 0110010 => 2
[4,3,8,7,2,6,5,1] => 1011011 => 2
[2,7,5,1,8,4,6,3] => 0110101 => 2
[7,8,5,2,1,6,4,3] => 0111011 => 1
[7,6,4,8,1,2,5,3] => 1101001 => 2
[7,5,4,8,3,2,6,1] => 1101101 => 2
[8,6,4,7,3,2,1,5] => 1101110 => 2
[3,8,5,6,2,7,1,4] => 0101010 => 3
[2,4,5,8,7,3,1,6] => 0001110 => 1
[2,4,5,8,6,7,1,3] => 0001010 => 2
[4,3,1,5,6,2,8,7] => 1100101 => 2
[4,1,5,8,6,7,2,3] => 1001010 => 3
[4,3,7,6,1,2,8,5] => 1011001 => 2
[4,7,5,6,1,2,8,3] => 0101001 => 2
[4,3,7,5,6,2,8,1] => 1010101 => 3
[4,5,1,8,6,7,3,2] => 0101011 => 2
[3,4,5,8,6,7,2,1] => 0001011 => 1
[2,1,5,8,6,7,4,3] => 1001011 => 2
[3,4,5,8,7,1,2,6] => 0001100 => 1
[4,7,1,5,6,2,8,3] => 0100101 => 2
[2,6,4,7,1,3,8,5] => 0101001 => 2
[5,3,8,6,4,7,2,1] => 1011011 => 2
[6,4,1,5,7,8,3,2] => 1100011 => 1
[3,6,4,7,2,1,8,5] => 0101101 => 2
[3,8,4,6,1,7,2,5] => 0101010 => 3
[3,8,5,6,4,7,2,1] => 0101011 => 2
[3,8,4,5,6,7,2,1] => 0100011 => 1
[3,8,6,5,2,7,4,1] => 0111011 => 1
[3,8,7,5,2,1,4,6] => 0111100 => 1
[3,8,6,5,1,7,2,4] => 0111010 => 2
[6,4,1,7,3,2,8,5] => 1101101 => 2
[5,1,4,6,7,2,8,3] => 1000101 => 2
[6,5,4,7,1,3,8,2] => 1101001 => 2
[2,1,6,5,3,7,8,4] => 1011001 => 2
[6,1,4,7,2,3,8,5] => 1001001 => 2
[2,1,3,4,5,6,8,9,7] => 10000001 => 1
[2,1,3,4,5,6,7,9,8] => 10000001 => 1
[1,2,3,4,5,6,7,8,10,11,9] => 0000000001 => 0
[2,1,3,4,5,6,7,9,10,8] => 100000001 => 1
[2,3,1,4,5,6,8,9,7] => 01000001 => 1
[1,3,2,4,5,6,8,9,7] => 01000001 => 1
[2,3,1,4,5,6,7,9,8] => 01000001 => 1
[1,3,2,4,5,6,7,9,8] => 01000001 => 1
[2,1,3,4,5,6,7,8,10,9] => 100000001 => 1
[1,6,2,5,4,8,3,7] => 0101010 => 3
[4,1,2,7,5,8,3,6] => 1001010 => 3
[6,1,3,5,8,2,4,7] => 1000100 => 2
[5,6,4,3,1,8,2,7] => 0111010 => 2
[6,2,3,5,8,1,4,7] => 1000100 => 2
[6,7,2,3,8,4,5,1] => 0100101 => 2
[6,7,2,1,3,8,4,5] => 0110010 => 2
[5,7,4,1,8,3,2,6] => 0110110 => 2
[4,1,7,5,8,3,6,2] => 1010101 => 3
[6,7,1,3,8,4,5,2] => 0100101 => 2
[1,6,7,4,3,8,5,2] => 0011011 => 1
[6,1,7,4,2,8,5,3] => 1011011 => 2
[2,1,6,7,4,3,8,5] => 1001101 => 2
[6,7,3,2,1,8,4,5] => 0111010 => 2
[2,5,7,3,1,4,8,6] => 0011001 => 1
[6,7,3,2,8,4,5,1] => 0110101 => 2
[1,2,6,7,4,3,8,5] => 0001101 => 1
[2,7,1,8,4,6,3,5] => 0101010 => 3
[2,7,5,8,1,6,3,4] => 0101010 => 3
[6,7,1,8,4,5,3,2] => 0101011 => 2
[8,3,7,6,1,2,5,4] => 1011001 => 2
[8,7,3,4,6,2,5,1] => 1100101 => 2
[8,2,5,7,1,4,6,3] => 1001001 => 2
[8,2,4,7,1,5,6,3] => 1001001 => 2
[8,2,3,4,7,1,5,6] => 1000100 => 2
[8,7,3,5,6,2,4,1] => 1100101 => 2
[8,7,4,6,5,2,3,1] => 1101101 => 2
[8,4,6,7,5,1,2,3] => 1001100 => 2
[8,4,6,7,5,1,3,2] => 1001101 => 2
[8,3,5,7,6,1,4,2] => 1001101 => 2
[8,7,3,6,2,1,5,4] => 1101101 => 2
[8,7,3,4,6,2,1,5] => 1100110 => 2
[8,7,4,6,5,2,1,3] => 1101110 => 2
[8,6,5,2,7,4,3,1] => 1110111 => 1
[8,4,3,7,6,5,1,2] => 1101110 => 2
[8,5,6,7,4,1,3,2] => 1001101 => 2
[8,5,7,6,4,1,2,3] => 1011100 => 2
[8,4,2,7,5,1,6,3] => 1101101 => 2
[8,3,4,2,7,5,6,1] => 1010101 => 3
[8,4,7,6,5,1,2,3] => 1011100 => 2
[8,3,5,2,7,4,6,1] => 1010101 => 3
[8,5,2,6,7,4,1,3] => 1100110 => 2
[8,5,3,7,6,4,1,2] => 1101110 => 2
[8,6,2,5,7,3,1,4] => 1100110 => 2
[8,6,2,4,7,3,1,5] => 1100110 => 2
[8,5,2,3,7,4,1,6] => 1100110 => 2
[8,5,3,2,7,6,4,1] => 1110111 => 1
[8,6,1,5,4,3,2,7] => 1101110 => 2
[2,4,5,8,3,1,6,7] => 0001100 => 1
[2,7,4,6,1,5,8,3] => 0101001 => 2
[2,4,3,8,5,1,6,7] => 0101100 => 2
[7,8,3,2,5,4,6,1] => 0110101 => 2
[1,5,6,7,3,8,2,4] => 0001010 => 2
[1,6,5,4,8,3,2,7] => 0110110 => 2
[1,7,3,5,8,4,6,2] => 0100101 => 2
[7,2,1,6,4,8,5,3] => 1101011 => 2
[7,5,8,3,2,4,6,1] => 1011001 => 2
[3,8,7,2,4,6,5,1] => 0110011 => 1
[1,3,7,6,4,8,5,2] => 0011011 => 1
[3,1,8,7,6,4,2,5] => 1011110 => 2
[3,1,8,7,5,4,2,6] => 1011110 => 2
[3,1,7,6,5,4,2,8] => 1011110 => 2
[4,7,1,6,5,3,2,8] => 0101110 => 2
[4,8,1,6,5,3,2,7] => 0101110 => 2
[8,4,1,7,6,3,2,5] => 1101110 => 2
[5,4,1,8,6,3,2,7] => 1101110 => 2
[5,4,1,7,6,3,2,8] => 1101110 => 2
[6,4,1,8,5,3,2,7] => 1101110 => 2
[8,4,1,7,5,3,2,6] => 1101110 => 2
[7,4,1,6,5,3,2,8] => 1101110 => 2
[7,5,6,1,4,3,2,8] => 1010110 => 3
[8,5,6,1,4,3,2,7] => 1010110 => 3
[8,5,7,1,4,3,2,6] => 1010110 => 3
[5,7,6,1,4,3,2,8] => 0110110 => 2
[5,8,6,1,4,3,2,7] => 0110110 => 2
[6,7,5,1,4,3,2,8] => 0110110 => 2
[8,7,5,1,4,3,2,6] => 1110110 => 2
[8,6,5,1,4,3,2,7] => 1110110 => 2
[8,6,1,7,2,5,3,4] => 1101010 => 3
[1,8,6,3,4,2,5,7] => 0110100 => 2
[3,1,6,4,5,2,7,8] => 1010100 => 3
[3,1,6,4,5,8,2,7] => 1010010 => 3
[3,1,6,4,5,7,2,8] => 1010010 => 3
[7,6,3,8,4,5,2,1] => 1101011 => 2
[8,2,7,6,1,4,3,5] => 1011010 => 3
[5,2,7,8,1,4,3,6] => 1001010 => 3
[5,6,3,8,4,1,2,7] => 0101100 => 2
[8,2,7,6,1,4,5,3] => 1011001 => 2
[5,2,3,4,7,1,6,8] => 1000100 => 2
[5,2,3,7,1,6,8,4] => 1001001 => 2
[8,7,5,3,1,6,4,2] => 1111011 => 1
[1,4,7,8,5,2,3,6] => 0001100 => 1
[5,8,3,7,6,4,1,2] => 0101110 => 2
[6,5,1,7,2,4,8,3] => 1101001 => 2
[3,6,7,1,4,2,5,8] => 0010100 => 2
[4,7,5,8,2,1,3,6] => 0101100 => 2
[8,1,2,7,5,4,3,6] => 1001110 => 2
[6,5,1,8,3,7,2,4] => 1101010 => 3
[1,8,7,5,3,2,6,4] => 0111101 => 1
[7,8,1,5,4,2,3,6] => 0101100 => 2
[2,7,5,1,4,6,3,8] => 0110010 => 2
[3,4,6,8,1,5,7,2] => 0001001 => 1
[6,8,1,7,5,4,2,3] => 0101110 => 2
[7,6,3,1,2,8,5,4] => 1110011 => 1
[5,2,6,7,4,8,1,3] => 1001010 => 3
[1,7,5,2,6,4,8,3] => 0110101 => 2
[7,1,3,6,8,2,4,5] => 1000100 => 2
[1,2,5,7,8,4,6,3] => 0000101 => 1
[3,1,2,7,5,4,8,6] => 1001101 => 2
[6,7,4,1,3,2,8,5] => 0110101 => 2
[1,7,2,8,4,3,5,6] => 0101100 => 2
[1,6,3,5,7,8,2,4] => 0100010 => 2
[8,6,1,7,5,2,4,3] => 1101101 => 2
[7,6,4,1,8,3,2,5] => 1110110 => 2
[8,4,1,6,5,2,7,3] => 1101101 => 2
[1,5,3,4,7,8,2,6] => 0100010 => 2
[4,2,1,5,7,8,3,6] => 1100010 => 2
[5,4,1,6,7,8,2,3] => 1100010 => 2
[5,1,4,6,7,8,2,3] => 1000010 => 2
[4,1,5,3,7,8,2,6] => 1010010 => 3
[8,1,4,6,5,2,7,3] => 1001101 => 2
[7,1,5,4,6,3,2,8] => 1010110 => 3
[8,2,1,6,7,5,4,3] => 1100111 => 1
[1,2,4,7,6,3,8,5] => 0001101 => 1
[6,7,4,1,8,5,2,3] => 0110110 => 2
[8,6,4,1,5,7,3,2] => 1110011 => 1
[5,2,4,3,7,1,6,8] => 1010100 => 3
[6,1,5,4,8,3,2,7] => 1010110 => 3
[1,2,8,7,4,3,6,5] => 0011101 => 1
[3,2,1,7,5,8,4,6] => 1101010 => 3
[1,3,6,4,7,8,2,5] => 0010010 => 2
[4,5,1,3,7,8,2,6] => 0100010 => 2
[5,2,3,1,7,8,4,6] => 1010010 => 3
[1,6,4,3,7,8,2,5] => 0110010 => 2
[7,6,4,3,1,5,2,8] => 1111010 => 2
[7,5,4,6,1,3,2,8] => 1101010 => 3
[8,4,6,5,1,2,7,3] => 1011001 => 2
[1,5,6,3,7,8,2,4] => 0010010 => 2
[7,1,2,3,4,5,8,9,10,6] => 100000001 => 1
[6,7,1,2,3,4,8,9,5] => 01000001 => 1
[6,1,2,3,4,7,8,9,10,5] => 100000001 => 1
[5,1,2,3,6,7,8,9,10,4] => 100000001 => 1
[6,8,3,5,7,2,4,1] => 0100101 => 2
[1,5,2,4,3,8,7,6] => 0101011 => 2
[8,6,5,7,2,1,4,3] => 1101101 => 2
[1,6,3,8,4,5,7,2] => 0101001 => 2
[7,5,4,2,6,3,8,1] => 1110101 => 2
[7,8,6,5,4,3,2,9,1] => 01111101 => 1
[9,7,6,5,4,3,1,2,8] => 11111100 => 1
[2,4,3,5,6,7,8,9,1] => 01000001 => 1
[2,3,8,4,7,5,6,1] => 0010101 => 2
[3,7,2,8,6,4,5,1] => 0101101 => 2
[6,3,7,5,8,2,4,1] => 1010101 => 3
[4,3,7,8,6,2,5,1] => 1001101 => 2
[3,8,1,7,5,2,4,6] => 0101100 => 2
[2,4,7,8,6,1,5,3] => 0001101 => 1
[2,4,8,5,1,7,3,6] => 0011010 => 2
[2,8,3,5,1,6,4,7] => 0101010 => 3
[8,2,4,6,3,7,5,1] => 1001011 => 2
[4,5,3,8,2,1,7,6] => 0101101 => 2
[4,8,3,2,5,1,6,7] => 0110100 => 2
[5,2,7,1,3,8,6,4] => 1010011 => 2
[4,5,6,7,8,9,2,1,3] => 00000110 => 1
[5,6,7,8,9,2,1,3,4] => 00001100 => 1
[6,7,8,9,2,1,3,4,5] => 00011000 => 1
[7,8,9,2,1,3,4,5,6] => 00110000 => 1
[8,9,2,1,3,4,5,6,7] => 01100000 => 1
[1,4,6,2,7,5,3,8] => 0010110 => 2
[8,2,7,5,1,4,6,3] => 1011001 => 2
[1,7,4,6,8,3,5,2] => 0100101 => 2
[8,2,1,4,5,6,7,3] => 1100001 => 1
[7,3,1,2,5,6,4,8] => 1100010 => 2
[7,2,4,1,5,8,6,3] => 1010011 => 2
[7,8,2,1,5,4,6,3] => 0110101 => 2
[1,4,2,8,6,5,3,7] => 0101110 => 2
[1,4,8,5,2,6,3,7] => 0011010 => 2
[1,5,2,4,6,3,8,7] => 0100101 => 2
[1,8,5,3,2,6,4,7] => 0111010 => 2
[6,4,1,3,2,5,8,7] => 1101001 => 2
[5,2,3,7,8,1,6,4] => 1000101 => 2
[5,2,8,6,3,1,7,4] => 1011101 => 2
[6,2,3,5,1,8,7,4] => 1001011 => 2
[7,6,3,4,2,8,1,5] => 1101010 => 3
[6,2,4,5,7,8,1,3] => 1000010 => 2
[8,6,3,2,5,7,1,4] => 1110010 => 2
[6,2,5,3,7,1,8,4] => 1010101 => 3
[8,5,3,6,7,2,1,4] => 1100110 => 2
[4,5,7,8,6,2,1,3] => 0001110 => 1
[1,2,8,4,3,6,7,5] => 0011001 => 1
[1,8,3,2,4,6,7,5] => 0110001 => 1
[1,2,7,5,3,4,6,8] => 0011000 => 1
[1,2,7,4,5,3,8,6] => 0010101 => 2
[1,7,3,2,6,8,4,5] => 0110010 => 2
[8,2,7,1,4,3,5,6] => 1010100 => 3
[7,2,1,3,6,8,4,5] => 1100010 => 2
[6,2,1,7,8,3,4,5] => 1100100 => 2
[3,5,8,6,1,4,2,7] => 0011010 => 2
[1,8,4,2,7,6,3,5] => 0110110 => 2
[8,7,2,6,5,4,3,1] => 1101111 => 1
[7,3,8,1,6,5,4,2] => 1010111 => 2
[7,3,8,2,6,5,4,1] => 1010111 => 2
[7,1,3,8,6,5,4,2] => 1001111 => 1
[8,1,3,7,6,5,4,2] => 1001111 => 1
[2,4,1,8,7,3,6,5] => 0101101 => 2
[7,3,8,6,1,5,4,2] => 1011011 => 2
[3,5,1,7,8,2,6,4] => 0100101 => 2
[5,4,7,8,2,1,6,3] => 1001101 => 2
[5,3,6,1,8,4,2,7] => 1010110 => 3
[6,3,8,7,1,5,4,2] => 1011011 => 2
[8,6,4,7,1,5,3,2] => 1101011 => 2
[3,4,6,2,1,8,5,7] => 0011010 => 2
[4,5,7,2,1,6,3,8] => 0011010 => 2
[5,6,4,8,3,2,1,7] => 0101110 => 2
[5,7,4,8,2,1,6,3] => 0101101 => 2
[4,7,5,8,2,1,6,3] => 0101101 => 2
[5,7,4,2,6,3,8,1] => 0110101 => 2
[5,7,4,1,6,2,8,3] => 0110101 => 2
[6,8,7,3,1,4,2,5] => 0111010 => 2
[8,5,6,1,7,3,2,4] => 1010110 => 3
[4,5,1,6,7,8,3,2] => 0100011 => 1
[4,5,2,6,1,3,8,7] => 0101001 => 2
[8,4,6,7,2,5,1,3] => 1001010 => 3
[3,4,6,7,2,5,8,1] => 0001001 => 1
[7,1,4,6,8,3,5,2] => 1000101 => 2
[6,7,1,2,4,8,5,3] => 0100011 => 1
[1,6,3,4,7,8,5,2] => 0100011 => 1
[2,3,6,4,7,5,8,1] => 0010101 => 2
[7,8,1,3,4,5,6,2] => 0100001 => 1
[1,8,2,6,7,3,4,5] => 0100100 => 2
[4,7,3,2,8,1,5,6] => 0110100 => 2
[7,1,2,6,3,8,5,4] => 1001011 => 2
[8,1,2,6,3,7,5,4] => 1001011 => 2
[8,1,2,7,6,3,5,4] => 1001101 => 2
[4,8,7,3,1,6,2,5] => 0111010 => 2
[4,7,8,3,1,6,2,5] => 0011010 => 2
[7,4,3,1,6,2,8,5] => 1110101 => 2
[7,4,3,1,8,6,2,5] => 1110110 => 2
[3,7,6,2,4,8,1,5] => 0110010 => 2
[4,3,7,2,8,6,1,5] => 1010110 => 3
[6,1,2,7,4,3,8,5] => 1001101 => 2
[5,1,2,6,3,8,7,4] => 1001011 => 2
[5,1,2,7,3,8,6,4] => 1001011 => 2
[6,1,2,7,3,5,8,4] => 1001001 => 2
[8,3,6,2,1,7,4,5] => 1011010 => 3
[6,1,2,8,3,5,7,4] => 1001001 => 2
[7,5,3,2,1,8,6,4] => 1111011 => 1
[4,2,1,5,3,6,7,8] => 1101000 => 2
[8,6,4,3,2,1,9,7,5] => 11111011 => 1
[7,5,4,3,2,1,8,6,9] => 11111010 => 2
[8,6,4,2,1,9,7,5,3] => 11110111 => 1
[7,5,3,2,1,8,6,4,9] => 11110110 => 2
[7,4,3,2,1,8,5,9,6] => 11110101 => 2
[6,4,3,2,1,7,5,8,9] => 11110100 => 2
[7,5,3,1,8,6,4,2,9] => 11101110 => 2
[7,4,2,1,8,5,3,9,6] => 11101101 => 2
[6,4,2,1,7,5,3,8,9] => 11101100 => 2
[6,3,2,1,7,4,8,5,9] => 11101010 => 3
[5,3,2,1,6,4,7,8,9] => 11101000 => 2
[7,4,1,8,5,2,9,6,3] => 11011011 => 2
[6,3,1,7,4,2,8,5,9] => 11011010 => 3
[5,3,1,6,4,2,7,8,9] => 11011000 => 2
[6,2,1,7,3,8,4,9,5] => 11010101 => 3
[5,2,1,6,3,7,4,8,9] => 11010100 => 3
[4,2,1,5,3,6,7,8,9] => 11010000 => 2
[4,1,5,2,6,3,7,8,9] => 10101000 => 3
[3,1,4,2,5,6,7,8,9] => 10100000 => 2
[9,7,5,4,3,2,1,10,8,6] => 111111011 => 1
[8,6,5,4,3,2,1,9,7,10] => 111111010 => 2
[9,7,5,3,2,1,10,8,6,4] => 111110111 => 1
[8,6,4,3,2,1,9,7,5,10] => 111110110 => 2
[8,5,4,3,2,1,9,6,10,7] => 111110101 => 2
[7,5,4,3,2,1,8,6,9,10] => 111110100 => 2
[8,6,4,2,1,9,7,5,3,10] => 111101110 => 2
[8,5,3,2,1,9,6,4,10,7] => 111101101 => 2
[7,5,3,2,1,8,6,4,9,10] => 111101100 => 2
[7,4,3,2,1,8,5,9,6,10] => 111101010 => 3
[6,4,3,2,1,7,5,8,9,10] => 111101000 => 2
[8,5,3,1,9,6,4,2,10,7] => 111011101 => 2
[7,5,3,1,8,6,4,2,9,10] => 111011100 => 2
[8,5,2,1,9,6,3,10,7,4] => 111011011 => 2
[7,4,2,1,8,5,3,9,6,10] => 111011010 => 3
[6,4,2,1,7,5,3,8,9,10] => 111011000 => 2
[7,3,2,1,8,4,9,5,10,6] => 111010101 => 3
[6,3,2,1,7,4,8,5,9,10] => 111010100 => 3
[5,3,2,1,6,4,7,8,9,10] => 111010000 => 2
[7,4,1,8,5,2,9,6,3,10] => 110110110 => 3
[7,3,1,8,4,2,9,5,10,6] => 110110101 => 3
[6,3,1,7,4,2,8,5,9,10] => 110110100 => 3
[5,3,1,6,4,2,7,8,9,10] => 110110000 => 2
[6,2,1,7,3,8,4,9,5,10] => 110101010 => 4
[5,2,1,6,3,7,4,8,9,10] => 110101000 => 3
[4,2,1,5,3,6,7,8,9,10] => 110100000 => 2
[5,1,6,2,7,3,8,4,9,10] => 101010100 => 4
[4,1,5,2,6,3,7,8,9,10] => 101010000 => 3
[3,1,4,2,5,6,7,8,9,10] => 101000000 => 2
[6,2,5,4,1,8,7,3] => 1011011 => 2
[4,6,3,2,1,8,7,5] => 0111011 => 1
[6,5,3,2,1,8,7,4] => 1111011 => 1
[8,4,3,2,7,6,1,5] => 1110110 => 2
[1,5,8,4,7,6,3,2] => 0010111 => 1
[3,2,7,4,8,6,1,5] => 1010110 => 3
[7,4,3,2,8,6,1,5] => 1110110 => 2
[6,8,3,7,5,2,1,4] => 0101110 => 2
[5,7,8,4,3,2,1,6] => 0011110 => 1
[6,4,3,8,5,2,1,7] => 1101110 => 2
[8,2,5,4,7,6,1,3] => 1010110 => 3
[7,2,5,4,8,6,1,3] => 1010110 => 3
[4,5,3,2,8,6,1,7] => 0110110 => 2
[3,2,5,4,8,6,1,7] => 1010110 => 3
[3,2,8,6,5,4,1,7] => 1011110 => 2
[8,4,3,6,5,2,1,7] => 1101110 => 2
[8,4,3,7,5,2,1,6] => 1101110 => 2
[3,2,7,8,5,4,1,6] => 1001110 => 2
[6,8,7,4,3,2,1,5] => 0111110 => 1
[3,6,1,4,8,7,2,5] => 0100110 => 2
[5,8,1,3,7,2,6,4] => 0100101 => 2
[4,7,5,1,8,2,6,3] => 0110101 => 2
[6,3,2,1,8,7,4,5] => 1110110 => 2
[6,2,3,1,8,7,4,5] => 1010110 => 3
[3,4,7,1,8,5,6,2] => 0010101 => 2
[7,2,5,1,8,3,6,4] => 1010101 => 3
[7,2,1,5,8,4,6,3] => 1100101 => 2
[4,2,8,1,7,5,6,3] => 1010101 => 3
[8,3,6,4,1,7,5,2] => 1011011 => 2
[7,3,1,5,2,8,6,4] => 1101011 => 2
[7,1,6,4,2,8,5,3] => 1011011 => 2
[3,7,4,1,5,8,6,2] => 0110011 => 1
[5,8,6,1,2,7,4,3] => 0110011 => 1
[6,8,1,4,3,7,5,2] => 0101011 => 2
[6,7,1,4,3,8,5,2] => 0101011 => 2
[4,7,1,5,3,8,6,2] => 0101011 => 2
[6,8,1,2,4,7,5,3] => 0100011 => 1
[7,1,6,4,8,3,5,2] => 1010101 => 3
[8,6,4,1,3,7,5,2] => 1110011 => 1
[8,5,3,6,1,7,4,2] => 1101011 => 2
[7,2,1,4,5,8,6,3] => 1100011 => 1
[8,5,6,1,2,7,4,3] => 1010011 => 2
[8,6,2,5,4,7,3,1] => 1101011 => 2
[8,5,7,3,2,4,6,1] => 1011001 => 2
[8,5,2,1,4,3,6,7] => 1110100 => 2
[2,8,4,1,3,6,7,5] => 0110001 => 1
[8,1,2,4,5,6,7,3] => 1000001 => 1
[6,1,4,3,2,7,8,5] => 1011001 => 2
[1,8,3,6,7,2,4,5] => 0100100 => 2
[1,2,8,3,7,4,6,5] => 0010101 => 2
[1,9,2,3,4,5,6,7,8,10] => 010000000 => 1
[1,7,2,3,4,5,6,8,9] => 01000000 => 1
[8,2,6,5,4,3,1,7] => 1011110 => 2
[8,2,7,6,4,5,3,1] => 1011011 => 2
[8,7,3,5,4,2,6,1] => 1101101 => 2
[12,10,9,8,7,6,5,4,3,2,1,11] => 11111111110 => 1
[4,6,7,2,1,8,3,5] => 0011010 => 2
[3,7,1,8,2,5,4,6] => 0101010 => 3
[4,5,8,6,1,3,7,2] => 0011001 => 1
[4,5,8,6,2,7,3,1] => 0011011 => 1
[4,6,7,1,5,3,8,2] => 0010101 => 2
[4,6,7,2,1,8,5,3] => 0011011 => 1
[4,2,5,6,7,8,3,1] => 1000011 => 1
[4,1,3,5,6,7,8,2] => 1000001 => 1
[3,7,8,4,5,1,6,2] => 0010101 => 2
[4,6,8,3,2,7,1,5] => 0011010 => 2
[4,6,8,2,3,7,1,5] => 0010010 => 2
[3,8,1,7,4,5,2,6] => 0101010 => 3
[4,5,8,3,7,1,2,6] => 0010100 => 2
[3,7,8,4,6,2,5,1] => 0010101 => 2
[3,6,1,5,7,8,2,4] => 0100010 => 2
[3,8,2,5,4,7,1,6] => 0101010 => 3
[3,8,6,2,5,1,7,4] => 0110101 => 2
[4,5,8,6,2,1,7,3] => 0011101 => 1
[4,5,8,6,1,2,7,3] => 0011001 => 1
[4,6,8,5,2,7,1,3] => 0011010 => 2
[3,7,8,5,2,6,1,4] => 0011010 => 2
[3,7,8,5,4,1,6,2] => 0011101 => 1
[4,6,8,5,3,1,7,2] => 0011101 => 1
[7,8,2,3,5,4,1,6] => 0100110 => 2
[5,1,3,7,6,4,8,2] => 1001101 => 2
[4,6,5,2,7,8,1,3] => 0110010 => 2
[1,6,5,2,3,4,8,7] => 0110001 => 1
[4,6,5,1,7,3,8,2] => 0110101 => 2
[5,7,3,1,2,4,8,6] => 0110001 => 1
[6,3,2,5,1,7,4,8] => 1101010 => 3
[6,1,2,4,8,5,3,7] => 1000110 => 2
[6,3,1,7,2,5,8,4] => 1101001 => 2
[3,7,2,8,5,1,4,6] => 0101100 => 2
[3,6,5,2,4,7,1,8] => 0110010 => 2
[3,6,5,8,1,7,2,4] => 0101010 => 3
[1,2,3,4,5,6,8,7,9] => 00000010 => 1
[1,2,3,4,5,6,7,9,8,10] => 000000010 => 1
[1,2,3,4,5,7,6,8,9] => 00000100 => 1
[9,2,3,4,5,6,7,1,8] => 10000010 => 2
[5,2,7,3,4,6,1,8] => 1010010 => 3
[1,3,5,8,6,4,7,2] => 0001101 => 1
[1,3,5,8,6,7,2,4] => 0001010 => 2
[6,1,7,4,8,5,3,2] => 1010111 => 2
[5,7,4,1,3,6,8,2] => 0110001 => 1
[7,4,3,1,6,5,8,2] => 1110101 => 2
[7,8,1,4,6,5,3,2] => 0100111 => 1
[7,8,6,1,4,5,3,2] => 0110011 => 1
[6,2,7,3,8,5,4,1] => 1010111 => 2
[1,2,7,5,3,4,8,6] => 0011001 => 1
[7,2,8,3,6,4,5,1] => 1010101 => 3
[6,2,7,8,3,1,4,5] => 1001100 => 2
[1,7,8,2,5,3,4,6] => 0010100 => 2
[3,7,8,1,2,5,6,4] => 0010001 => 1
[1,2,8,7,3,4,6,5] => 0011001 => 1
[8,2,7,4,5,1,6,3] => 1010101 => 3
[3,8,1,5,7,2,6,4] => 0100101 => 2
[7,5,4,8,6,1,2,3] => 1101100 => 2
[7,1,8,6,4,5,2,3] => 1011010 => 3
[8,7,5,1,4,3,6,2] => 1110101 => 2
[1,5,7,8,3,4,2,6] => 0001010 => 2
[6,8,4,3,1,7,2,5] => 0111010 => 2
[8,4,1,3,7,5,6,2] => 1100101 => 2
[4,8,1,3,7,5,6,2] => 0100101 => 2
[1,8,5,7,4,2,3,6] => 0101100 => 2
[2,1,6,8,5,3,4,7] => 1001100 => 2
[4,5,1,3,8,6,7,2] => 0100101 => 2
[1,2,6,8,5,3,4,7] => 0001100 => 1
[5,6,8,7,3,1,2,4] => 0011100 => 1
[6,7,5,3,8,1,2,4] => 0110100 => 2
[6,8,5,7,3,1,2,4] => 0101100 => 2
[5,7,8,6,3,1,2,4] => 0011100 => 1
[5,1,4,2,6,8,7,3] => 1010011 => 2
[6,3,2,4,7,1,8,5] => 1100101 => 2
[1,5,6,8,4,2,3,7] => 0001100 => 1
[5,7,8,3,6,1,2,4] => 0010100 => 2
[1,5,8,6,2,4,3,7] => 0011010 => 2
[1,5,3,7,2,6,8,4] => 0101001 => 2
[5,1,8,6,2,4,3,7] => 1011010 => 3
[5,8,6,3,7,1,2,4] => 0110100 => 2
[1,5,2,4,8,6,7,3] => 0100101 => 2
[1,5,4,2,6,8,7,3] => 0110011 => 1
[5,7,6,3,8,1,2,4] => 0110100 => 2
[5,7,6,8,3,1,2,4] => 0101100 => 2
[6,8,7,5,3,1,2,4] => 0111100 => 1
[1,2,5,3,6,8,7,4] => 0010011 => 1
[6,8,7,2,1,5,3,4] => 0111010 => 2
[7,3,6,1,4,8,2,5] => 1010010 => 3
[7,8,1,6,5,3,4,2] => 0101101 => 2
[8,7,3,2,1,4,6,5] => 1111001 => 1
[8,3,5,1,7,4,2,6] => 1010110 => 3
[3,5,6,8,4,2,7,1] => 0001101 => 1
[5,8,2,6,4,3,7,1] => 0101101 => 2
[2,8,6,3,4,1,7,5] => 0110101 => 2
[1,7,2,3,5,8,6,4] => 0100011 => 1
[4,6,2,3,5,1,7,8] => 0100100 => 2
[2,8,3,7,5,1,6,4] => 0101101 => 2
[6,4,8,7,2,1,5,3] => 1011101 => 2
[1,8,2,3,7,5,6,4] => 0100101 => 2
[2,8,4,3,6,7,1,5] => 0110010 => 2
[7,3,2,5,6,1,8,4] => 1100101 => 2
[1,6,7,8,2,4,3,5] => 0001010 => 2
[4,1,2,8,5,3,7,6] => 1001101 => 2
[3,8,4,2,5,1,7,6] => 0110101 => 2
[1,8,5,6,4,3,2,7] => 0101110 => 2
[2,8,3,5,6,4,1,7] => 0100110 => 2
[4,1,5,7,6,8,2,3] => 1001010 => 3
[7,6,8,3,2,5,1,4] => 1011010 => 3
[2,7,8,1,6,4,5,3] => 0010101 => 2
[2,7,1,4,5,3,8,6] => 0100101 => 2
[1,5,2,7,4,3,6,8] => 0101100 => 2
[5,1,3,8,4,6,2,7] => 1001010 => 3
[6,5,8,7,1,3,2,4] => 1011010 => 3
[2,7,3,5,1,6,8,4] => 0101001 => 2
[5,7,6,8,2,1,4,3] => 0101101 => 2
[1,3,6,5,2,7,4,8] => 0011010 => 2
[1,2,6,5,3,4,7,8] => 0011000 => 1
[1,7,2,5,6,8,3,4] => 0100010 => 2
[1,7,2,4,8,3,5,6] => 0100100 => 2
[1,6,2,4,5,3,7,8] => 0100100 => 2
[1,3,2,8,4,5,7,6] => 0101001 => 2
[1,6,8,2,4,3,5,7] => 0010100 => 2
[1,6,7,2,5,3,4,8] => 0010100 => 2
[1,2,8,3,6,7,4,5] => 0010010 => 2
[1,7,2,5,3,4,8,6] => 0101001 => 2
[10,3,4,5,6,7,8,9,1,2] => 100000010 => 2
[9,3,4,5,6,7,8,1,10,2] => 100000101 => 2
[8,3,4,5,6,7,1,9,10,2] => 100001001 => 2
[7,3,4,5,6,1,8,9,10,2] => 100010001 => 2
[6,3,4,5,1,7,8,9,10,2] => 100100001 => 2
[5,3,4,1,6,7,8,9,10,2] => 101000001 => 2
[4,3,1,5,6,7,8,9,10,2] => 110000001 => 1
[11,3,4,5,6,7,8,9,10,1,2] => 1000000010 => 2
[10,9,4,5,6,7,8,1,2,3] => 110000100 => 2
[10,3,8,5,6,7,1,9,2,4] => 101001010 => 4
[10,3,4,7,6,1,8,9,2,5] => 100110010 => 3
[10,3,4,5,1,7,8,9,2,6] => 100100010 => 3
[5,3,4,1,6,10,8,9,2,7] => 101001010 => 4
[4,3,1,5,6,7,10,9,2,8] => 110000110 => 2
[3,1,4,5,6,7,8,10,2,9] => 100000010 => 2
[7,1,5,6,2,3,8,4] => 1001001 => 2
[8,2,1,4,6,7,3,5] => 1100010 => 2
[7,2,6,1,3,4,8,5] => 1010001 => 2
[4,1,3,7,2,5,8,6] => 1001001 => 2
[6,2,7,5,1,3,8,4] => 1011001 => 2
[1,7,5,6,2,3,8,4] => 0101001 => 2
[3,7,6,1,2,4,8,5] => 0110001 => 1
[8,6,1,3,5,7,2,4] => 1100010 => 2
[1,7,4,3,8,2,5,6] => 0110100 => 2
[6,1,5,3,4,8,2,7] => 1010010 => 3
[3,6,7,5,2,8,1,4] => 0011010 => 2
[7,8,4,1,5,6,2,3] => 0110010 => 2
[5,8,1,3,6,7,2,4] => 0100010 => 2
[2,8,4,3,7,1,5,6] => 0110100 => 2
[3,8,4,6,7,1,2,5] => 0100100 => 2
[6,3,8,4,7,1,2,5] => 1010100 => 3
[1,2,5,4,8,3,6,7] => 0010100 => 2
[7,1,3,8,2,4,5,6] => 1001000 => 2
[8,1,3,7,2,4,5,6] => 1001000 => 2
[3,5,4,7,8,1,2,6] => 0100100 => 2
[8,3,1,4,7,2,5,6] => 1100100 => 2
[1,6,4,7,8,2,3,5] => 0100100 => 2
[5,2,3,6,7,8,1,4] => 1000010 => 2
[6,2,7,3,8,5,1,4] => 1010110 => 3
[1,3,7,8,5,6,2,4] => 0001010 => 2
[8,2,6,7,5,1,3,4] => 1001100 => 2
[8,1,7,4,6,2,3,5] => 1010100 => 3
[2,5,8,4,7,1,3,6] => 0010100 => 2
[4,5,8,7,1,2,3,6] => 0011000 => 1
[4,1,8,5,7,2,3,6] => 1010100 => 3
[1,8,7,4,6,2,3,5] => 0110100 => 2
[2,6,5,4,1,8,3,7] => 0111010 => 2
[6,2,5,1,4,8,3,7] => 1010010 => 3
[6,5,4,1,3,8,2,7] => 1110010 => 2
[6,3,5,4,2,8,1,7] => 1011010 => 3
[1,3,8,7,4,2,6,5] => 0011101 => 1
[8,7,4,3,1,5,2,6] => 1111010 => 2
[8,2,5,1,4,6,7,3] => 1010001 => 2
[3,8,4,5,1,6,7,2] => 0101001 => 2
[8,5,4,1,3,6,7,2] => 1110001 => 1
[8,3,1,7,5,6,4,2] => 1101011 => 2
[8,4,7,6,5,3,1,2] => 1011110 => 2
[8,1,4,5,7,6,3,2] => 1000111 => 1
[2,4,1,8,5,7,6,3] => 0101011 => 2
[8,2,1,4,7,6,3,5] => 1100110 => 2
[8,3,1,7,4,2,6,5] => 1101101 => 2
[8,2,7,3,1,6,5,4] => 1011011 => 2
[1,8,4,2,3,7,6,5] => 0110011 => 1
[3,1,2,8,7,4,6,5] => 1001101 => 2
[8,5,1,2,4,3,7,6] => 1100101 => 2
[2,8,3,7,4,1,6,5] => 0101101 => 2
[8,4,5,7,6,2,3,1] => 1001101 => 2
[2,3,1,8,7,6,4,5] => 0101110 => 2
[4,2,8,7,3,1,5,6] => 1011100 => 2
[1,3,4,8,7,2,5,6] => 0001100 => 1
[8,1,3,4,6,7,2,5] => 1000010 => 2
[3,4,8,2,6,7,1,5] => 0010010 => 2
[3,6,8,2,5,1,7,4] => 0010101 => 2
[3,8,2,5,7,4,6,1] => 0100101 => 2
[8,4,2,1,7,5,6,3] => 1110101 => 2
[8,2,7,5,6,4,1,3] => 1010110 => 3
[6,2,8,5,4,1,7,3] => 1011101 => 2
[6,8,5,4,1,7,2,3] => 0111010 => 2
[2,8,1,5,7,6,3,4] => 0100110 => 2
[3,1,8,2,7,5,6,4] => 1010101 => 3
[8,5,7,1,6,4,2,3] => 1010110 => 3
[2,8,4,7,3,6,5,1] => 0101011 => 2
[8,4,7,2,1,6,5,3] => 1011011 => 2
[1,8,4,7,6,5,2,3] => 0101110 => 2
[3,5,8,1,7,4,6,2] => 0010101 => 2
[8,4,7,1,3,6,5,2] => 1010011 => 2
[8,2,3,4,5,6,9,1,7] => 10000010 => 2
[8,2,3,9,5,6,7,1,4] => 10010010 => 3
[8,2,9,4,5,6,7,1,3] => 10100010 => 3
[8,9,3,4,5,6,7,1,2] => 01000010 => 2
[9,2,3,4,5,6,7,10,1,8] => 100000010 => 2
[4,2,3,1,9,8,7,6,5] => 10101111 => 2
[3,2,1,9,8,6,7,5,4] => 11011011 => 2
[9,2,10,4,5,6,7,8,1,3] => 101000010 => 3
[2,3,4,7,6,8,1,5] => 0001010 => 2
[3,8,1,2,5,6,4,7] => 0100010 => 2
[8,5,2,1,4,6,7,3] => 1110001 => 1
[4,8,1,6,5,2,7,3] => 0101101 => 2
[4,2,6,3,8,5,7,1] => 1010101 => 3
[4,5,2,6,7,1,8,3] => 0100101 => 2
[2,7,4,1,6,3,5,8] => 0110100 => 2
[8,3,5,4,2,7,1,6] => 1011010 => 3
[2,8,6,4,7,3,1,5] => 0110110 => 2
[3,1,8,6,5,2,7,4] => 1011101 => 2
[8,3,1,5,2,6,7,4] => 1101001 => 2
[3,8,2,4,1,5,7,6] => 0101001 => 2
[5,8,3,2,4,1,7,6] => 0110101 => 2
[6,5,3,2,4,8,1,7] => 1110010 => 2
[5,2,4,6,1,3,8,7] => 1001001 => 2
[7,2,3,4,6,8,1,5] => 1000010 => 2
[8,3,4,6,7,5,1,2] => 1000110 => 2
[6,8,3,4,7,5,2,1] => 0100111 => 1
[5,8,6,1,3,4,7,2] => 0110001 => 1
[4,8,1,5,7,6,3,2] => 0100111 => 1
[3,7,4,6,8,2,5,1] => 0100101 => 2
[4,7,1,6,8,3,2,5] => 0100110 => 2
[4,5,2,8,1,7,3,6] => 0101010 => 3
[3,7,5,2,8,6,1,4] => 0110110 => 2
[4,8,5,2,6,7,1,3] => 0110010 => 2
[5,4,8,6,1,2,7,3] => 1011001 => 2
[8,4,6,5,2,7,3,1] => 1011011 => 2
[8,1,6,4,7,5,2,3] => 1010110 => 3
[5,2,7,6,4,8,1,3] => 1011010 => 3
[8,6,2,3,5,1,7,4] => 1100101 => 2
[8,2,5,7,4,1,3,6] => 1001100 => 2
[7,2,4,5,6,8,1,3] => 1000010 => 2
[7,1,3,5,6,2,8,4] => 1000101 => 2
[7,1,5,8,4,6,3,2] => 1001011 => 2
[6,3,8,4,7,1,5,2] => 1010101 => 3
[7,1,4,3,2,8,5,6] => 1011010 => 3
[5,3,6,1,4,2,8,7] => 1010101 => 3
[5,7,2,1,4,3,8,6] => 0110101 => 2
[7,1,8,3,5,2,4,6] => 1010100 => 3
[7,2,4,8,1,5,6,3] => 1001001 => 2
[7,1,8,4,2,5,6,3] => 1011001 => 2
[6,4,2,5,8,1,7,3] => 1100101 => 2
[2,1,7,5,8,3,6,4] => 1010101 => 3
[7,3,8,5,6,2,1,4] => 1010110 => 3
[2,7,4,8,1,5,6,3] => 0101001 => 2
[7,4,8,3,1,5,6,2] => 1011001 => 2
[6,1,5,8,3,7,4,2] => 1001011 => 2
[2,6,3,5,8,7,4,1] => 0100111 => 1
[8,6,5,3,7,2,1,4] => 1110110 => 2
[4,8,5,3,7,2,1,6] => 0110110 => 2
[7,4,8,6,5,3,2,1] => 1011111 => 1
[7,4,8,5,6,3,1,2] => 1010110 => 3
[7,8,4,1,3,5,6,2] => 0110001 => 1
[7,8,3,4,1,5,6,2] => 0101001 => 2
[7,3,1,8,2,5,6,4] => 1101001 => 2
[7,2,3,8,1,5,6,4] => 1001001 => 2
[6,4,8,7,3,2,1,5] => 1011110 => 2
[2,7,4,8,6,3,1,5] => 0101110 => 2
[6,4,8,2,3,1,7,5] => 1010101 => 3
[7,2,1,8,3,5,6,4] => 1101001 => 2
[5,1,6,3,8,2,4,7] => 1010100 => 3
[3,6,5,1,4,8,7,2] => 0110011 => 1
[7,3,6,2,8,4,1,5] => 1010110 => 3
[6,5,1,8,4,7,2,3] => 1101010 => 3
[7,5,4,8,1,6,2,3] => 1101010 => 3
[4,3,5,8,7,1,2,6] => 1001100 => 2
[3,5,6,8,1,4,2,7] => 0001010 => 2
[4,3,5,8,2,1,6,7] => 1001100 => 2
[6,4,7,2,3,1,5,8] => 1010100 => 3
[6,8,1,5,4,2,7,3] => 0101101 => 2
[7,8,6,3,1,4,2,5] => 0111010 => 2
[7,8,6,3,5,1,2,4] => 0110100 => 2
[7,2,8,5,4,6,3,1] => 1011011 => 2
[6,1,8,4,7,2,3,5] => 1010100 => 3
[5,6,4,3,7,1,8,2] => 0110101 => 2
[6,5,3,7,2,4,8,1] => 1101001 => 2
[5,6,2,8,4,3,7,1] => 0101101 => 2
[4,1,2,6,8,3,7,5] => 1000101 => 2
[7,1,3,6,5,8,4,2] => 1001011 => 2
[5,7,4,3,6,8,2,1] => 0110011 => 1
[4,6,2,7,8,3,5,1] => 0100101 => 2
[5,1,2,4,6,7,8,3] => 1000001 => 1
[4,6,3,5,2,8,7,1] => 0101011 => 2
[5,6,3,4,8,2,7,1] => 0100101 => 2
[5,2,6,4,1,7,8,3] => 1011001 => 2
[5,8,4,6,3,2,7,1] => 0101101 => 2
[5,4,3,8,6,2,7,1] => 1101101 => 2
[5,7,8,2,4,3,6,1] => 0010101 => 2
[5,6,2,4,8,3,7,1] => 0100101 => 2
[6,4,7,8,2,3,5,1] => 1001001 => 2
[3,7,5,2,4,8,1,6] => 0110010 => 2
[4,7,5,2,3,8,6,1] => 0110011 => 1
[6,4,7,3,2,5,8,1] => 1011001 => 2
[5,7,3,2,8,4,6,1] => 0110101 => 2
[5,3,7,2,8,4,6,1] => 1010101 => 3
[4,3,7,2,5,8,6,1] => 1010011 => 2
[4,7,3,2,5,8,6,1] => 0110011 => 1
[4,7,3,2,6,8,5,1] => 0110011 => 1
[7,5,3,2,6,4,8,1] => 1110101 => 2
[8,5,2,6,7,3,4,1] => 1100101 => 2
[8,4,2,6,3,7,5,1] => 1101011 => 2
[7,4,6,2,3,8,5,1] => 1010011 => 2
[7,5,6,2,8,3,4,1] => 1010101 => 3
[5,7,6,2,8,3,4,1] => 0110101 => 2
[4,7,6,2,3,8,5,1] => 0110011 => 1
[7,6,3,2,5,8,1,4] => 1110010 => 2
[7,6,4,2,5,8,3,1] => 1110011 => 1
[2,10,4,5,6,7,8,9,1,3] => 010000010 => 2
[9,8,4,5,6,7,1,2,10,3] => 110001001 => 2
[2,10,9,5,6,7,8,1,3,4] => 011000100 => 2
[2,11,4,5,6,7,8,9,10,1,3] => 0100000010 => 2
[9,3,8,5,6,7,1,2,10,4] => 101001001 => 3
[9,7,4,5,6,1,8,2,10,3] => 110010101 => 3
[2,10,4,9,6,7,8,1,3,5] => 010100100 => 3
[2,10,8,5,6,7,1,9,3,4] => 011001010 => 3
[6,3,8,5,4,7,2,1] => 1011011 => 2
[1,3,2,4,5,6,7,8,9] => 01000000 => 1
[1,4,2,3,5,6,7,8,9] => 01000000 => 1
[1,3,2,4,5,6,7,8,9,10] => 010000000 => 1
[2,4,6,3,8,7,5,1] => 0010111 => 1
[2,4,6,1,8,7,3,5] => 0010110 => 2
[2,4,3,6,8,7,1,5] => 0100110 => 2
[2,4,6,3,8,7,1,5] => 0010110 => 2
[2,4,6,5,8,7,1,3] => 0010110 => 2
[2,4,6,8,5,7,3,1] => 0001011 => 1
[2,4,6,8,5,7,1,3] => 0001010 => 2
[2,4,6,8,3,7,1,5] => 0001010 => 2
[2,4,6,8,1,7,3,5] => 0001010 => 2
[2,4,6,5,1,8,7,3] => 0011011 => 1
[2,4,6,5,8,3,7,1] => 0010101 => 2
[2,4,6,5,8,1,7,3] => 0010101 => 2
[2,4,6,8,5,1,7,3] => 0001101 => 1
[2,4,6,8,7,3,5,1] => 0001101 => 1
[2,4,6,8,7,1,5,3] => 0001101 => 1
[2,4,6,8,7,1,3,5] => 0001100 => 1
[2,4,6,8,5,1,3,7] => 0001100 => 1
[2,4,6,5,1,8,3,7] => 0011010 => 2
[2,4,6,5,1,3,8,7] => 0011001 => 1
[2,4,6,5,3,8,1,7] => 0011010 => 2
[2,4,6,5,8,3,1,7] => 0010110 => 2
[2,4,6,8,5,3,1,7] => 0001110 => 1
[2,4,6,8,7,3,1,5] => 0001110 => 1
[2,4,6,8,7,5,1,3] => 0001110 => 1
[4,8,7,5,2,1,3,6] => 0111100 => 1
[6,1,4,7,5,8,2,3] => 1001010 => 3
[1,8,6,5,3,2,7,4] => 0111101 => 1
[1,6,3,5,8,2,4,7] => 0100100 => 2
[4,6,1,7,8,5,3,2] => 0100111 => 1
[6,1,2,7,8,4,5,3] => 1000101 => 2
[6,1,3,2,7,8,5,4] => 1010011 => 2
[5,6,3,1,7,4,8,2] => 0110101 => 2
[4,8,3,7,1,6,5,2] => 0101011 => 2
[8,7,2,6,5,1,4,3] => 1101101 => 2
[5,8,3,2,1,7,6,4] => 0111011 => 1
[5,4,3,8,1,7,6,2] => 1101011 => 2
[6,5,3,8,7,1,4,2] => 1101101 => 2
[4,3,8,2,7,6,5,1] => 1010111 => 2
[4,8,2,7,6,5,3,1] => 0101111 => 1
[7,8,2,6,5,4,1,3] => 0101110 => 2
[3,8,7,6,2,5,1,4] => 0111010 => 2
[4,8,3,7,2,1,6,5] => 0101101 => 2
[8,6,3,1,7,5,4,2] => 1110111 => 1
[8,6,3,7,1,5,4,2] => 1101011 => 2
[4,8,3,7,6,2,5,1] => 0101101 => 2
[5,8,2,7,6,4,1,3] => 0101110 => 2
[8,4,2,1,7,6,5,3] => 1110111 => 1
[1,6,4,2,5,3,7,8] => 0110100 => 2
[1,8,6,2,7,3,4,5] => 0110100 => 2
[1,6,3,2,4,5,7,8] => 0110000 => 1
[1,5,2,6,4,3,7,8] => 0101100 => 2
[1,5,2,4,6,3,7,8] => 0100100 => 2
[1,8,6,2,3,7,4,5] => 0110010 => 2
[1,5,2,8,6,3,4,7] => 0101100 => 2
[1,3,6,8,2,7,4,5] => 0001010 => 2
[1,4,3,8,2,5,6,7] => 0101000 => 2
[1,7,2,3,8,5,4,6] => 0100110 => 2
[1,3,8,4,2,5,6,7] => 0011000 => 1
[1,6,2,8,5,4,3,7] => 0101110 => 2
[1,7,2,3,8,6,4,5] => 0100110 => 2
[1,5,3,8,2,7,4,6] => 0101010 => 3
[1,4,8,2,5,6,3,7] => 0010010 => 2
[1,5,7,3,2,8,4,6] => 0011010 => 2
[1,2,7,3,6,8,4,5] => 0010010 => 2
[1,7,2,3,6,8,4,5] => 0100010 => 2
[1,4,8,3,2,5,6,7] => 0011000 => 1
[1,7,2,5,8,3,4,6] => 0100100 => 2
[8,2,3,4,5,6,7,9,1] => 10000001 => 1
[7,2,3,4,5,6,9,8,1] => 10000011 => 1
[6,2,3,4,5,9,7,8,1] => 10000101 => 2
[5,2,3,4,9,6,7,8,1] => 10001001 => 2
[4,2,3,9,5,6,7,8,1] => 10010001 => 2
[3,2,9,4,5,6,7,8,1] => 10100001 => 2
[2,9,3,4,5,6,7,8,1] => 01000001 => 1
[9,2,3,4,5,6,7,8,10,1] => 100000001 => 1
[6,2,3,4,5,1,8,9,7] => 10001001 => 2
[8,2,3,4,5,6,7,10,9,1] => 100000011 => 1
[5,2,3,4,1,7,9,8,6] => 10010011 => 2
[7,2,3,4,5,6,10,8,9,1] => 100000101 => 2
[6,2,3,5,8,1,7,4] => 1000101 => 2
[4,2,3,1,6,9,7,8,5] => 10100101 => 3
[6,2,3,4,5,10,7,8,9,1] => 100001001 => 2
[5,2,4,8,1,6,7,3] => 1001001 => 2
[3,2,1,5,9,6,7,8,4] => 11001001 => 2
[5,2,3,4,10,6,7,8,9,1] => 100010001 => 2
[2,1,4,9,5,6,7,8,3] => 10010001 => 2
[4,2,3,10,5,6,7,8,9,1] => 100100001 => 2
[1,3,9,4,5,6,7,8,2] => 00100001 => 1
[3,2,10,4,5,6,7,8,9,1] => 101000001 => 2
[2,10,3,4,5,6,7,8,9,1] => 010000001 => 1
[2,3,5,6,4,7,8,1,9] => 00010010 => 2
[1,3,4,6,7,5,8,9,2] => 00001001 => 1
[2,3,4,6,7,5,8,9,1,10] => 000010010 => 2
[2,3,6,5,7,4,8,1,9] => 00101010 => 3
[2,3,5,6,7,1,8,4,9] => 00001010 => 2
[2,6,4,5,7,3,1,8] => 0100110 => 2
[2,5,6,3,4,7,1,8] => 0010010 => 2
[1,3,7,5,6,8,4,2] => 0010011 => 1
[1,3,6,7,4,5,8,2] => 0001001 => 1
[1,3,4,7,6,8,5,9,2] => 00010101 => 2
[1,3,4,6,7,8,2,9,5] => 00000101 => 1
[1,3,4,5,7,8,6,9,10,2] => 000001001 => 1
[1,5,6,3,4,2,7,8] => 0010100 => 2
[1,5,6,3,4,7,2,8] => 0010010 => 2
[1,5,3,6,4,2,7,8] => 0101100 => 2
[1,7,5,6,8,3,4,2] => 0100101 => 2
[1,7,5,6,3,8,4,2] => 0101011 => 2
[1,3,7,5,2,8,6,4] => 0011011 => 1
[1,3,7,2,5,8,6,4] => 0010011 => 1
[1,5,3,7,4,6,2,8] => 0101010 => 3
[1,5,3,7,6,4,2,8] => 0101110 => 2
[1,5,3,6,7,4,2,8] => 0100110 => 2
[1,5,6,3,7,4,2,8] => 0010110 => 2
[1,5,7,6,3,4,8,2] => 0011001 => 1
[1,5,7,3,6,4,8,2] => 0010101 => 2
[1,3,7,2,5,6,8,4] => 0010001 => 1
[1,3,7,5,6,2,8,4] => 0010101 => 2
[2,5,7,4,1,3,8,6] => 0011001 => 1
[6,7,3,1,8,5,2,4] => 0110110 => 2
[6,3,1,5,8,7,2,4] => 1100110 => 2
[8,3,5,1,7,6,2,4] => 1010110 => 3
[4,6,3,5,8,2,1,7] => 0100110 => 2
[2,3,6,4,1,8,7,5] => 0011011 => 1
[7,4,5,2,1,8,6,3] => 1011011 => 2
[4,7,5,2,1,8,6,3] => 0111011 => 1
[8,5,3,6,2,1,7,4] => 1101101 => 2
[4,5,7,3,1,2,8,6] => 0011001 => 1
[4,5,1,8,3,2,7,6] => 0101101 => 2
[5,7,4,6,3,2,1,8] => 0101110 => 2
[3,6,1,2,4,8,7,5] => 0100011 => 1
[2,5,3,8,4,1,7,6] => 0101101 => 2
[8,6,2,3,1,7,5,4] => 1101011 => 2
[7,5,2,3,1,8,6,4] => 1101011 => 2
[6,3,1,2,4,8,7,5] => 1100011 => 1
[4,7,5,2,3,6,1,8] => 0110010 => 2
[3,6,8,4,5,1,2,7] => 0010100 => 2
[5,2,3,7,6,4,1,8] => 1001110 => 2
[6,2,7,3,5,4,1,8] => 1010110 => 3
[7,2,6,5,3,4,1,8] => 1011010 => 3
[8,2,6,5,4,1,3,7] => 1011100 => 2
[6,2,8,4,5,1,3,7] => 1010100 => 3
[2,3,1,7,8,5,6,4] => 0100101 => 2
[7,2,8,5,1,4,3,6] => 1011010 => 3
[8,6,7,1,4,2,3,5] => 1010100 => 3
[6,8,7,1,4,3,2,5] => 0110110 => 2
[6,8,2,5,3,1,4,7] => 0101100 => 2
[3,7,8,5,1,4,2,6] => 0011010 => 2
[4,8,7,3,1,2,5,6] => 0111000 => 1
[4,8,6,2,3,1,5,7] => 0110100 => 2
[3,8,5,4,2,1,6,7] => 0111100 => 1
[4,5,3,8,2,1,6,7] => 0101100 => 2
[3,7,4,1,8,2,6,5] => 0110101 => 2
[3,8,4,1,7,6,2,5] => 0110110 => 2
[3,7,2,1,8,4,6,5] => 0110101 => 2
[8,7,1,6,5,2,3,4] => 1101100 => 2
[8,5,1,2,7,6,3,4] => 1100110 => 2
[3,8,2,1,7,6,4,5] => 0110110 => 2
[3,5,7,8,2,4,6,1] => 0001001 => 1
[7,8,2,5,4,3,6,1] => 0101101 => 2
[4,5,3,7,8,2,6,1] => 0100101 => 2
[1,5,4,7,3,6,2,8] => 0101010 => 3
[1,7,3,6,8,4,5,2] => 0100101 => 2
[4,6,8,2,7,3,5,1] => 0010101 => 2
[4,7,6,3,5,1,8,2] => 0110101 => 2
[7,8,3,6,1,5,4,2] => 0101011 => 2
[2,5,7,8,4,6,1,3] => 0001010 => 2
[3,7,5,6,2,1,4,8] => 0101100 => 2
[6,2,1,7,4,5,3,8] => 1101010 => 3
[1,2,6,4,7,5,3,8] => 0010110 => 2
[7,5,6,3,8,4,2,1] => 1010111 => 2
[8,5,4,2,1,6,7,3] => 1111001 => 1
[2,6,8,4,7,5,1,3] => 0010110 => 2
[6,7,5,1,4,8,3,2] => 0110011 => 1
[7,4,1,6,5,3,8,2] => 1101101 => 2
[5,8,2,7,3,6,4,1] => 0101011 => 2
[1,6,5,7,3,8,4,2] => 0101011 => 2
[1,5,6,8,4,2,7,3] => 0001101 => 1
[7,5,4,1,8,2,6,3] => 1110101 => 2
[6,4,1,8,2,7,5,3] => 1101011 => 2
[7,8,5,3,2,6,1,4] => 0111010 => 2
[8,2,5,1,7,6,4,3] => 1010111 => 2
[6,7,4,3,8,2,5,1] => 0110101 => 2
[3,4,2,7,8,6,1,5] => 0100110 => 2
[7,8,6,1,4,3,2,5] => 0110110 => 2
[2,4,7,8,6,1,3,5] => 0001100 => 1
[3,7,8,6,5,2,4,1] => 0011101 => 1
[4,5,2,7,8,6,3,1] => 0100111 => 1
[4,6,2,5,3,1,7,8] => 0101100 => 2
[4,1,5,6,3,2,7,8] => 1001100 => 2
[2,6,7,5,4,1,3,8] => 0011100 => 1
[4,1,6,7,5,3,2,8] => 1001110 => 2
[6,7,4,3,1,5,2,8] => 0111010 => 2
[1,7,5,6,4,3,2,8] => 0101110 => 2
[7,6,5,3,1,8,4,2] => 1111011 => 1
[7,8,6,4,3,1,5,2] => 0111101 => 1
[4,1,7,8,6,5,3,2] => 1001111 => 1
[4,5,7,3,8,6,1,2] => 0010110 => 2
[6,8,5,3,7,2,1,4] => 0110110 => 2
[4,7,1,5,8,2,6,3] => 0100101 => 2
[3,7,6,2,1,8,4,5] => 0111010 => 2
[2,7,5,8,3,6,4,1] => 0101011 => 2
[7,4,8,2,6,5,3,1] => 1010111 => 2
[7,5,4,8,2,6,3,1] => 1101011 => 2
[4,3,8,1,6,5,2,7] => 1010110 => 3
[2,3,6,5,7,8,1,4] => 0010010 => 2
[8,3,4,1,2,6,7,5] => 1010001 => 2
[7,3,4,8,5,2,1,6] => 1001110 => 2
[7,3,8,4,1,5,6,2] => 1011001 => 2
[7,2,4,5,1,8,3,6] => 1001010 => 3
[7,3,1,2,8,5,6,4] => 1100101 => 2
[4,8,2,3,5,7,6,1] => 0100011 => 1
[4,5,2,3,8,6,7,1] => 0100101 => 2
[6,7,4,8,5,3,2,1] => 0101111 => 1
[4,3,5,6,1,7,8,2] => 1001001 => 2
[3,5,2,6,4,7,8,1] => 0101001 => 2
[4,1,2,8,5,7,6,3] => 1001011 => 2
[3,1,5,6,4,7,8,2] => 1001001 => 2
[3,1,4,6,7,5,8,2] => 1000101 => 2
[2,6,4,5,8,1,3,7] => 0100100 => 2
[6,4,1,3,5,8,2,7] => 1100010 => 2
[3,4,1,7,2,6,8,5] => 0101001 => 2
[2,4,7,5,8,1,3,6] => 0010100 => 2
[3,7,6,2,1,5,8,4] => 0111001 => 1
[4,2,6,1,3,7,8,5] => 1010001 => 2
[8,5,4,2,7,6,3,1] => 1110111 => 1
[2,8,4,6,7,1,3,5] => 0100100 => 2
[5,8,2,1,4,6,7,3] => 0110001 => 1
[8,4,6,1,2,5,7,3] => 1010001 => 2
[3,7,8,4,2,6,5,1] => 0011011 => 1
[5,6,2,8,7,1,3,4] => 0101100 => 2
[7,1,3,8,4,5,6,2] => 1001001 => 2
[7,8,1,4,3,5,6,2] => 0101001 => 2
[3,6,7,2,8,1,5,4] => 0010101 => 2
[2,6,7,1,3,5,8,4] => 0010001 => 1
[3,6,7,1,8,2,5,4] => 0010101 => 2
[3,4,1,8,7,2,6,5] => 0101101 => 2
[3,1,5,7,2,8,6,4] => 1001011 => 2
[4,8,1,3,2,7,6,5] => 0101011 => 2
[4,1,8,3,2,7,6,5] => 1011011 => 2
[3,8,2,4,7,1,6,5] => 0100101 => 2
[3,2,4,8,7,1,6,5] => 1001101 => 2
[3,2,5,7,1,8,6,4] => 1001011 => 2
[4,2,8,3,1,7,6,5] => 1011011 => 2
[4,8,2,1,3,7,6,5] => 0110011 => 1
[4,2,8,1,3,7,6,5] => 1010011 => 2
[2,3,4,6,8,7,1,5] => 0000110 => 1
[5,6,4,7,1,2,8,3] => 0101001 => 2
[4,6,7,5,8,2,3,1] => 0010101 => 2
[4,5,7,1,6,8,3,2] => 0010011 => 1
[3,2,7,6,8,1,4,5] => 1010100 => 3
[4,5,1,7,6,8,2,3] => 0101010 => 3
[6,7,2,8,3,1,4,5] => 0101100 => 2
[7,6,3,1,2,8,4,5] => 1110010 => 2
[6,2,7,8,4,1,3,5] => 1001100 => 2
[7,8,5,2,4,1,3,6] => 0110100 => 2
[7,6,2,3,1,8,4,5] => 1101010 => 3
[4,2,5,1,3,7,8,6] => 1010001 => 2
[3,5,1,4,2,7,8,6] => 0101001 => 2
[3,4,1,7,8,5,2,6] => 0100110 => 2
[4,1,3,7,8,5,2,6] => 1000110 => 2
[4,3,1,8,5,2,7,6] => 1101101 => 2
[3,1,8,5,4,2,7,6] => 1011101 => 2
[7,6,3,5,8,4,2,1] => 1100111 => 1
[4,5,1,3,2,7,8,6] => 0101001 => 2
[5,1,3,2,4,7,8,6] => 1010001 => 2
[8,3,5,6,1,7,2,4] => 1001010 => 3
[4,5,8,1,2,6,7,3] => 0010001 => 1
[5,3,6,7,8,2,1,4] => 1000110 => 2
[1,3,4,8,6,2,7,5] => 0001101 => 1
[7,2,4,1,3,8,5,6] => 1010010 => 3
[3,8,2,5,4,1,6,7] => 0101100 => 2
[8,4,5,2,6,1,7,3] => 1010101 => 3
[4,6,8,2,3,7,5,1] => 0010011 => 1
[4,5,7,2,3,6,1,8] => 0010010 => 2
[2,7,3,4,1,5,6,8] => 0101000 => 2
[6,7,2,3,4,8,1,5] => 0100010 => 2
[3,5,2,4,6,7,8,1] => 0100001 => 1
[4,2,6,3,5,7,8,1] => 1010001 => 2
[2,3,4,5,6,1,8,7,9] => 00001010 => 2
[2,3,4,5,1,7,6,8,9] => 00010100 => 2
[2,3,4,1,6,5,7,8,9] => 00101000 => 2
[2,3,1,5,4,6,7,8,9] => 01010000 => 2
[1,4,8,5,6,2,7,3] => 0010101 => 2
[2,4,8,5,6,1,7,3] => 0010101 => 2
[6,3,5,8,4,7,1,2] => 1001010 => 3
[2,8,7,4,5,1,6,3] => 0110101 => 2
[1,3,8,5,2,6,7,4] => 0011001 => 1
[7,2,8,4,5,1,6,3] => 1010101 => 3
[6,2,3,5,1,7,8,4] => 1001001 => 2
[8,6,2,4,1,5,7,3] => 1101001 => 2
[1,6,4,3,2,7,8,5] => 0111001 => 1
[8,5,3,2,1,6,7,4] => 1111001 => 1
[1,7,5,2,3,6,8,4] => 0110001 => 1
[7,1,5,2,3,6,8,4] => 1010001 => 2
[8,1,2,5,3,6,7,4] => 1001001 => 2
[8,4,1,6,3,7,2,5] => 1101010 => 3
[6,7,5,3,8,2,1,4] => 0110110 => 2
[5,2,6,8,3,7,1,4] => 1001010 => 3
[4,2,5,8,6,7,1,3] => 1001010 => 3
[5,8,6,3,4,1,7,2] => 0110101 => 2
[3,7,2,4,1,8,6,5] => 0101011 => 2
[2,4,7,8,5,1,3,6] => 0001100 => 1
[2,5,3,8,4,1,6,7] => 0101100 => 2
[5,7,6,8,1,3,4,2] => 0101001 => 2
[3,1,7,4,5,6,2,8] => 1010010 => 3
[2,4,8,3,5,7,1,6] => 0010010 => 2
[8,1,7,2,4,3,5,6] => 1010100 => 3
[1,3,8,2,4,7,5,6] => 0010010 => 2
[1,3,7,2,4,6,5,8] => 0010010 => 2
[1,7,3,2,4,6,5,8] => 0110010 => 2
[1,8,3,7,4,2,5,6] => 0101100 => 2
[8,7,3,1,4,2,5,6] => 1110100 => 2
[2,8,4,3,5,7,1,6] => 0110010 => 2
[3,2,8,7,4,1,5,6] => 1011100 => 2
[3,2,1,7,4,6,5,8] => 1101010 => 3
[3,2,6,5,1,7,8,4] => 1011001 => 2
[5,3,2,6,7,1,8,4] => 1100101 => 2
[3,2,8,6,7,4,1,5] => 1010110 => 3
[8,4,6,2,7,3,1,5] => 1010110 => 3
[4,3,8,6,7,2,1,5] => 1010110 => 3
[4,3,6,2,8,7,1,5] => 1010110 => 3
[3,8,4,7,6,5,1,2] => 0101110 => 2
[7,8,4,2,6,3,5,1] => 0110101 => 2
[3,2,7,8,6,4,5,1] => 1001101 => 2
[3,2,7,5,6,8,4,1] => 1010011 => 2
[5,7,8,6,3,2,4,1] => 0011101 => 1
[6,5,4,2,1,7,8,3] => 1111001 => 1
[5,4,2,1,7,6,3,8] => 1110110 => 2
[4,1,6,5,2,7,8,3] => 1011001 => 2
[5,4,1,6,7,2,8,3] => 1100101 => 2
[6,8,5,3,1,7,2,4] => 0111010 => 2
[5,2,6,3,8,7,1,4] => 1010110 => 3
[8,6,1,7,3,4,2,5] => 1101010 => 3
[1,8,3,6,7,4,2,5] => 0100110 => 2
[1,6,3,5,2,7,8,4] => 0101001 => 2
[1,5,7,3,2,6,4,8] => 0011010 => 2
[5,1,3,7,2,6,4,8] => 1001010 => 3
[8,1,6,7,2,4,3,5] => 1001010 => 3
[6,1,4,8,2,7,3,5] => 1001010 => 3
[6,2,4,8,3,7,1,5] => 1001010 => 3
[8,7,2,6,3,5,1,4] => 1101010 => 3
[8,1,7,6,5,2,3,4] => 1011100 => 2
[7,1,5,6,8,2,4,3] => 1000101 => 2
[6,7,1,5,2,4,8,3] => 0101001 => 2
[7,6,1,5,2,4,3,8] => 1101010 => 3
[7,1,6,3,5,4,2,8] => 1010110 => 3
[1,6,7,3,5,4,8,2] => 0010101 => 2
[1,7,3,5,6,8,4,2] => 0100011 => 1
[1,7,8,3,6,4,5,2] => 0010101 => 2
[1,8,7,6,4,5,2,3] => 0111010 => 2
[8,2,7,4,6,5,1,3] => 1010110 => 3
[2,8,5,7,6,4,1,3] => 0101110 => 2
[7,4,5,1,6,8,3,2] => 1010011 => 2
[4,1,7,5,6,8,3,2] => 1010011 => 2
[5,6,7,4,3,1,8,2] => 0011101 => 1
[6,7,8,5,3,1,4,2] => 0011101 => 1
[1,4,6,2,5,3,7,8] => 0010100 => 2
[1,6,3,2,5,4,7,8] => 0110100 => 2
[1,6,8,2,5,4,7,3] => 0010101 => 2
[1,5,4,2,6,3,7,8] => 0110100 => 2
[1,2,6,4,3,5,7,8] => 0011000 => 1
[1,6,8,2,7,5,4,3] => 0010111 => 1
[1,7,4,3,2,6,8,5] => 0111001 => 1
[1,5,4,7,2,6,8,3] => 0101001 => 2
[1,3,7,6,2,8,5,4] => 0011011 => 1
[1,7,6,2,8,4,3,5] => 0110110 => 2
[1,5,2,8,4,3,7,6] => 0101101 => 2
[1,2,8,4,3,6,5,7] => 0011010 => 2
[1,2,8,5,6,3,4,7] => 0010100 => 2
[1,7,3,5,2,8,6,4] => 0101011 => 2
[1,6,7,2,5,8,4,3] => 0010011 => 1
[1,5,8,3,2,7,4,6] => 0011010 => 2
[1,4,5,8,2,6,3,7] => 0001010 => 2
[1,7,6,4,8,2,5,3] => 0110101 => 2
[1,4,8,6,5,2,7,3] => 0011101 => 1
[1,3,8,2,6,5,4,7] => 0010110 => 2
[1,7,6,3,8,2,4,5] => 0110100 => 2
[1,5,2,7,6,4,8,3] => 0101101 => 2
[1,2,4,3,8,7,5,6] => 0010110 => 2
[1,4,3,8,7,2,5,6] => 0101100 => 2
[1,3,8,6,2,4,5,7] => 0011000 => 1
[1,3,8,5,4,2,6,7] => 0011100 => 1
[1,7,2,4,8,6,5,3] => 0100111 => 1
[1,6,5,3,2,8,7,4] => 0111011 => 1
[1,3,2,8,7,5,4,6] => 0101110 => 2
[1,2,8,6,5,4,3,7] => 0011110 => 1
[8,1,3,4,6,5,2,7] => 1000110 => 2
[8,3,1,4,6,5,2,7] => 1100110 => 2
[5,8,3,1,2,6,4,7] => 0110010 => 2
[4,8,1,7,5,2,3,6] => 0101100 => 2
[4,8,1,7,5,2,6,3] => 0101101 => 2
[8,5,1,4,2,6,3,7] => 1101010 => 3
[8,4,1,3,5,6,2,7] => 1100010 => 2
[8,5,3,2,1,6,4,7] => 1111010 => 2
[8,1,5,4,2,6,3,7] => 1011010 => 3
[8,5,2,4,1,6,3,7] => 1101010 => 3
[4,8,7,1,5,2,6,3] => 0110101 => 2
[4,8,7,1,5,2,3,6] => 0110100 => 2
[7,6,8,4,1,3,2,5] => 1011010 => 3
[7,6,8,4,1,3,5,2] => 1011001 => 2
[3,8,7,5,4,1,2,6] => 0111100 => 1
[4,8,2,7,5,1,3,6] => 0101100 => 2
[7,6,8,4,1,5,2,3] => 1011010 => 3
[8,7,6,1,5,2,3,4] => 1110100 => 2
[7,1,4,8,6,3,5,2] => 1001101 => 2
[8,1,6,5,3,4,7,2] => 1011001 => 2
[8,6,2,5,3,4,7,1] => 1101001 => 2
[8,6,5,1,3,4,7,2] => 1110001 => 1
[8,7,5,1,3,6,2,4] => 1110010 => 2
[8,7,1,5,3,6,2,4] => 1101010 => 3
[8,6,1,3,5,4,7,2] => 1100101 => 2
[7,1,4,8,3,6,5,2] => 1001011 => 2
[7,8,5,2,4,3,6,1] => 0110101 => 2
[7,3,8,2,5,4,6,1] => 1010101 => 3
[8,4,2,5,3,7,6,1] => 1101011 => 2
[4,8,1,5,3,7,6,2] => 0101011 => 2
[7,4,8,2,6,3,5,1] => 1010101 => 3
[7,4,8,2,6,3,1,5] => 1010110 => 3
[8,7,3,1,6,4,2,5] => 1110110 => 2
[8,7,3,1,6,4,5,2] => 1110101 => 2
[8,7,3,1,4,6,5,2] => 1110011 => 1
[8,4,3,2,7,5,6,1] => 1110101 => 2
[6,4,1,7,8,5,3,2] => 1100111 => 1
[7,6,3,4,1,8,5,2] => 1101011 => 2
[8,7,3,1,6,2,5,4] => 1110101 => 2
[7,8,6,4,2,5,1,3] => 0111010 => 2
[7,8,2,4,6,5,1,3] => 0100110 => 2
[8,1,7,3,5,6,2,4] => 1010010 => 3
[8,7,5,2,4,6,1,3] => 1110010 => 2
[8,1,7,5,4,6,2,3] => 1011010 => 3
[8,7,3,2,6,1,5,4] => 1110101 => 2
[5,3,1,7,6,4,2,8] => 1101110 => 2
[1,8,6,4,2,9,7,5,3] => 01110111 => 1
[9,7,5,3,1,8,6,4,2,10] => 111101110 => 2
[8,6,4,2,1,7,5,3,9] => 11110110 => 2
[8,7,5,3,1,6,4,2,9] => 11110110 => 2
[7,5,3,2,1,6,4,8] => 1111010 => 2
[7,6,5,3,1,4,2,8] => 1111010 => 2
[1,8,6,4,3,2,7,5] => 0111101 => 1
[1,9,7,5,3,2,8,6,4] => 01111011 => 1
[1,8,7,6,4,2,5,3] => 0111101 => 1
[1,9,8,6,4,2,7,5,3] => 01111011 => 1
[1,10,8,6,4,2,9,7,5,3] => 011110111 => 1
[8,4,6,7,5,3,2,1] => 1001111 => 1
[1,4,8,6,7,5,3,2] => 0010111 => 1
[7,6,2,5,8,4,3,1] => 1100111 => 1
[1,7,3,6,8,5,4,2] => 0100111 => 1
[8,6,2,5,7,4,3,1] => 1100111 => 1
[7,1,3,6,8,5,4,2] => 1000111 => 1
[1,8,3,6,7,5,4,2] => 0100111 => 1
[8,1,7,6,4,5,3,2] => 1011011 => 2
[7,1,8,6,4,5,3,2] => 1011011 => 2
[1,6,2,7,4,5,3,8] => 0101010 => 3
[1,8,2,6,4,3,5,7] => 0101100 => 2
[1,7,2,6,4,3,5,8] => 0101100 => 2
[1,7,2,5,4,6,3,8] => 0101010 => 3
[6,5,7,2,8,3,4,1] => 1010101 => 3
[6,2,7,5,8,1,4,3] => 1010101 => 3
[6,7,2,5,8,1,4,3] => 0100101 => 2
[6,5,7,3,8,1,4,2] => 1010101 => 3
[6,3,7,4,8,2,5,1] => 1010101 => 3
[6,3,7,4,8,1,5,2] => 1010101 => 3
[8,7,6,4,2,5,3,1] => 1111011 => 1
[8,7,4,6,2,3,5,1] => 1101001 => 2
[6,8,4,5,7,3,2,1] => 0100111 => 1
[6,7,5,1,4,3,8,2] => 0110101 => 2
[7,8,5,1,4,3,6,2] => 0110101 => 2
[2,7,6,8,3,5,1,4] => 0101010 => 3
[7,2,1,5,3,8,6,4] => 1101011 => 2
[5,8,2,7,6,1,3,4] => 0101100 => 2
[5,1,8,7,3,4,2,6] => 1011010 => 3
[8,2,3,6,7,1,4,5] => 1000100 => 2
[4,2,3,1,5,8,6,7] => 1010010 => 3
[6,3,5,1,2,4,7,8,9] => 10100000 => 2
[8,6,5,4,3,2,1,7,9] => 11111100 => 1
[3,1,2,4,5,6,7,8,9,10] => 100000000 => 1
[6,3,5,1,2,4,7,8,9,10] => 101000000 => 2
[9,7,6,5,4,3,2,1,8,10] => 111111100 => 1
[10,8,6,9,4,7,2,5,1,3] => 110101010 => 4
[2,4,8,7,5,3,1,6] => 0011110 => 1
[2,6,8,7,5,3,4,1] => 0011101 => 1
[2,6,5,1,4,3,8,7] => 0110101 => 2
[6,5,1,2,4,3,8,7] => 1100101 => 2
[4,6,5,3,1,2,8,7] => 0111001 => 1
[4,8,7,5,3,1,2,6] => 0111100 => 1
[4,6,8,7,5,3,1,2] => 0011110 => 1
[6,8,7,5,3,1,4,2] => 0111101 => 1
[8,7,5,6,3,1,4,2] => 1101101 => 2
[8,7,3,4,6,5,1,2] => 1100110 => 2
[2,1,4,8,7,3,6,5] => 1001101 => 2
[4,8,7,3,1,2,6,5] => 0111001 => 1
[8,7,3,4,1,2,6,5] => 1101001 => 2
[8,7,3,1,6,5,2,4] => 1110110 => 2
[8,7,3,2,6,5,1,4] => 1110110 => 2
[2,8,7,3,4,6,5,1] => 0110011 => 1
[2,8,7,3,6,5,1,4] => 0110110 => 2
[2,8,7,1,6,5,3,4] => 0110110 => 2
[8,7,1,2,6,5,3,4] => 1100110 => 2
[8,7,1,2,4,3,6,5] => 1100101 => 2
[2,1,8,7,3,4,6,5] => 1011001 => 2
[8,7,5,1,2,4,3,6] => 1110010 => 2
[2,8,7,1,4,3,6,5] => 0110101 => 2
[2,8,7,3,4,1,6,5] => 0110101 => 2
[2,8,7,5,6,3,4,1] => 0110101 => 2
[2,4,8,7,3,1,6,5] => 0011101 => 1
[2,8,7,3,1,4,6,5] => 0111001 => 1
[2,4,3,1,8,7,5,6] => 0110110 => 2
[4,3,1,2,6,8,7,5] => 1100011 => 1
[2,8,7,5,6,3,1,4] => 0110110 => 2
[2,8,7,5,3,1,6,4] => 0111101 => 1
[2,8,7,5,3,6,4,1] => 0111011 => 1
[2,8,7,5,6,1,4,3] => 0110101 => 2
[2,6,8,7,5,1,4,3] => 0011101 => 1
[6,8,7,5,1,2,4,3] => 0111001 => 1
[8,7,5,6,1,2,4,3] => 1101001 => 2
[8,7,1,2,4,6,5,3] => 1100011 => 1
[2,4,8,7,3,6,5,1] => 0011011 => 1
[8,7,2,4,3,6,5,1] => 1101011 => 2
[4,8,7,1,2,6,5,3] => 0110011 => 1
[8,7,5,3,1,2,6,4] => 1111001 => 1
[8,7,5,3,6,4,1,2] => 1110110 => 2
[8,7,1,4,3,6,5,2] => 1101011 => 2
[8,7,3,4,1,6,5,2] => 1101011 => 2
[10,3,2,4,5,6,7,8,9,1] => 110000001 => 1
[9,4,3,2,5,6,7,8,1] => 11100001 => 1
[8,1,2,3,4,5,7,6,9] => 10000010 => 2
[7,1,2,3,5,4,6,8] => 1000100 => 2
[1,9,2,3,4,5,6,8,7] => 01000001 => 1
[9,1,2,3,4,5,6,8,7,10] => 100000010 => 2
[8,1,2,3,4,7,6,5,9] => 10000110 => 2
[8,1,2,3,4,6,5,7,9] => 10000100 => 2
[7,1,2,6,4,5,3,8] => 1001010 => 3
[7,1,2,4,3,5,6,8] => 1001000 => 2
[1,9,2,3,4,5,8,7,6] => 01000011 => 1
[1,9,2,3,4,5,7,6,8] => 01000010 => 2
[1,10,2,3,4,5,6,7,9,8] => 010000001 => 1
[4,7,3,6,5,1,2,8] => 0101100 => 2
[7,5,4,2,8,3,1,6] => 1110110 => 2
[8,3,6,1,5,2,4,7] => 1010100 => 3
[3,1,6,8,5,7,2,4] => 1001010 => 3
[5,7,2,1,8,4,6,3] => 0110101 => 2
[7,2,8,6,4,3,1,5] => 1011110 => 2
[6,3,8,7,4,2,1,5] => 1011110 => 2
[7,6,3,2,8,4,1,5] => 1110110 => 2
[8,6,1,3,2,4,5,7] => 1101000 => 2
[5,8,3,7,4,2,1,6] => 0101110 => 2
[4,1,7,3,5,8,6,2] => 1010011 => 2
[8,4,7,3,5,2,1,6] => 1010110 => 3
[5,4,8,1,3,2,6,7] => 1010100 => 3
[4,5,8,2,1,3,6,7] => 0011000 => 1
[8,1,3,5,2,4,6,7] => 1001000 => 2
[1,8,3,5,7,2,4,6] => 0100100 => 2
[1,7,3,8,6,2,4,5] => 0101100 => 2
[8,6,2,1,3,7,5,4] => 1110011 => 1
[8,1,4,2,7,6,3,5] => 1010110 => 3
[1,3,4,5,6,7,8,2,9] => 00000010 => 1
[1,3,4,5,6,7,8,10,2,9] => 000000010 => 1
[2,1,4,5,6,7,9,3,8] => 10000010 => 2
[2,1,4,5,6,7,8,3,9] => 10000010 => 2
[1,3,4,5,6,7,8,9,2,10] => 000000010 => 1
[1,5,7,3,6,8,2,4] => 0010010 => 2
[8,4,6,2,5,7,1,3] => 1010010 => 3
[1,3,4,7,6,8,2,5] => 0001010 => 2
[8,1,3,6,7,4,2,5] => 1000110 => 2
[1,2,4,7,8,5,3,6] => 0000110 => 1
[3,1,4,7,6,8,2,5] => 1001010 => 3
[4,1,3,7,6,8,2,5] => 1001010 => 3
[5,1,7,3,6,8,2,4] => 1010010 => 3
[6,7,8,2,4,5,1,3] => 0010010 => 2
[5,8,6,2,4,7,1,3] => 0110010 => 2
[3,8,2,6,5,7,1,4] => 0101010 => 3
[2,8,3,6,7,4,1,5] => 0100110 => 2
[8,7,2,5,6,3,1,4] => 1100110 => 2
[8,7,1,6,4,3,2,5] => 1101110 => 2
[1,8,2,7,5,4,3,6] => 0101110 => 2
[3,8,1,7,5,4,2,6] => 0101110 => 2
[5,8,6,1,7,3,2,4] => 0110110 => 2
[6,7,1,2,8,4,3,5] => 0100110 => 2
[2,1,3,8,6,5,4,7] => 1001110 => 2
[8,2,1,7,5,4,3,6] => 1101110 => 2
[1,3,2,8,6,5,4,7] => 0101110 => 2
[3,4,1,7,6,8,2,5] => 0101010 => 3
[2,5,7,1,8,4,3,6] => 0010110 => 2
[3,5,7,1,6,8,2,4] => 0010010 => 2
[4,5,7,6,1,8,2,3] => 0011010 => 2
[5,4,7,6,8,3,1,2] => 1010110 => 3
[1,5,7,8,6,3,2,4] => 0001110 => 1
[8,4,6,7,5,2,1,3] => 1001110 => 2
[8,3,7,5,6,2,1,4] => 1010110 => 3
[1,4,8,6,7,3,2,5] => 0010110 => 2
[2,4,8,6,7,3,1,5] => 0010110 => 2
[5,2,7,8,6,3,1,4] => 1001110 => 2
[2,3,8,7,5,4,1,6] => 0011110 => 1
[1,3,8,7,5,4,2,6] => 0011110 => 1
[8,2,7,6,4,3,1,5] => 1011110 => 2
[8,1,7,6,4,3,2,5] => 1011110 => 2
[4,1,8,6,7,3,2,5] => 1010110 => 3
[4,8,7,5,6,2,1,3] => 0110110 => 2
[5,6,8,1,7,4,3,2] => 0010111 => 1
[1,6,9,8,7,5,4,3,2] => 00111111 => 0
[1,4,9,8,7,6,5,3,2] => 00111111 => 0
[1,3,9,8,7,6,5,4,2] => 00111111 => 0
[8,7,1,9,6,5,4,3,2] => 11011111 => 1
[1,8,10,9,7,6,5,4,3,2] => 001111111 => 0
[6,7,9,1,8,5,4,3,2] => 00101111 => 1
[1,7,10,9,8,6,5,4,3,2] => 001111111 => 0
[5,6,9,8,1,7,4,3,2] => 00110111 => 1
[4,1,8,7,3,6,5,2] => 1011011 => 2
[5,6,8,4,1,7,3,2] => 0011011 => 1
[5,4,9,8,7,1,6,3,2] => 10111011 => 2
[1,5,10,9,8,7,6,4,3,2] => 001111111 => 0
[4,5,8,7,3,1,6,2] => 0011101 => 1
[3,4,9,8,7,6,1,5,2] => 00111101 => 1
[1,4,10,9,8,7,6,5,3,2] => 001111111 => 0
[2,3,9,8,7,6,5,1,4] => 00111110 => 1
[9,8,1,10,7,6,5,4,3,2] => 110111111 => 1
[1,7,6,9,8,5,4,3,2] => 01011111 => 1
[7,8,10,1,9,6,5,4,3,2] => 001011111 => 1
[1,6,9,5,8,7,4,3,2] => 00101111 => 1
[8,7,6,1,9,5,4,3,2] => 11101111 => 1
[6,7,10,9,1,8,5,4,3,2] => 001101111 => 1
[3,1,8,4,7,6,5,2] => 1010111 => 2
[5,1,9,8,4,7,6,3,2] => 10110111 => 2
[6,7,9,5,1,8,4,3,2] => 00110111 => 1
[6,5,10,9,8,1,7,4,3,2] => 101110111 => 2
[1,4,9,8,7,3,6,5,2] => 00111011 => 1
[5,6,9,8,4,1,7,3,2] => 00111011 => 1
[4,5,10,9,8,7,1,6,3,2] => 001111011 => 1
[1,3,9,8,7,6,2,5,4] => 00111101 => 1
[1,5,8,4,3,7,6,2] => 0011011 => 1
[5,4,9,8,7,3,1,6,2] => 10111101 => 2
[3,4,10,9,8,7,6,1,5,2] => 001111101 => 1
[3,4,9,8,7,6,2,1,5] => 00111110 => 1
[3,2,10,9,8,7,6,5,1,4] => 101111110 => 2
[8,1,7,2,5,6,4,3] => 1010011 => 2
[8,1,3,5,2,7,6,4] => 1001011 => 2
[2,7,1,5,4,8,6,3] => 0101011 => 2
[8,6,2,4,3,7,5,1] => 1101011 => 2
[2,4,1,6,7,5,8,3] => 0100101 => 2
[8,1,4,5,6,3,7,2] => 1000101 => 2
[8,1,4,5,6,2,7,3] => 1000101 => 2
[8,1,4,7,6,2,5,3] => 1001101 => 2
[2,5,1,7,8,6,4,3] => 0100111 => 1
[3,5,6,2,8,7,4,1] => 0010111 => 1
[2,4,5,1,7,6,3,8] => 0010110 => 2
[7,3,1,5,6,4,2,8] => 1100110 => 2
[8,3,2,5,6,7,1,4] => 1100010 => 2
[8,4,5,3,7,6,2,1] => 1010111 => 2
[3,4,5,6,2,8,1,7] => 0001010 => 2
[3,7,4,2,8,5,1,6] => 0110110 => 2
[7,3,4,1,6,8,2,5] => 1010010 => 3
[2,6,3,1,4,7,5,8] => 0110010 => 2
[7,2,1,6,3,4,8,5] => 1101001 => 2
[7,3,4,1,6,5,8,2] => 1010101 => 3
[3,7,4,2,5,8,6,1] => 0110011 => 1
[2,3,5,1,4,8,7,6] => 0010011 => 1
[2,7,1,3,6,8,5,4] => 0100011 => 1
[2,7,1,3,8,4,6,5] => 0100101 => 2
[3,8,7,1,6,2,5,4] => 0110101 => 2
[3,8,7,1,4,5,2,6] => 0110010 => 2
[3,7,4,2,1,8,6,5] => 0111011 => 1
[4,8,5,7,2,6,3,1] => 0101011 => 2
[8,4,5,7,3,2,6,1] => 1001101 => 2
[8,3,7,2,4,1,5,6] => 1010100 => 3
[8,6,7,2,1,4,3,5] => 1011010 => 3
[8,3,7,5,1,2,6,4] => 1011001 => 2
[7,3,4,6,2,1,5,8] => 1001100 => 2
[3,7,4,6,1,5,2,8] => 0101010 => 3
[3,4,7,6,1,2,8,5] => 0011001 => 1
[4,5,8,7,6,1,3,2] => 0011101 => 1
[8,6,3,7,5,1,4,2] => 1101101 => 2
[8,7,3,5,6,1,4,2] => 1100101 => 2
[7,6,3,8,1,4,5,2] => 1101001 => 2
[8,5,2,7,6,1,3,4] => 1101100 => 2
[8,7,3,1,4,5,2,6] => 1110010 => 2
[8,4,2,5,1,6,7,3] => 1101001 => 2
[8,5,3,1,6,4,7,2] => 1110101 => 2
[8,7,3,1,4,5,6,2] => 1110001 => 1
[8,7,4,1,5,6,2,3] => 1110010 => 2
[8,6,4,1,7,5,2,3] => 1110110 => 2
[8,6,3,1,7,4,5,2] => 1110101 => 2
[8,5,3,1,6,7,4,2] => 1110011 => 1
[8,5,3,7,1,6,4,2] => 1101011 => 2
[7,6,3,8,1,4,2,5] => 1101010 => 3
[7,4,8,2,6,1,5,3] => 1010101 => 3
[6,4,7,3,1,5,2,8] => 1011010 => 3
[8,5,3,1,6,4,2,7] => 1110110 => 2
[8,7,4,1,5,2,3,6] => 1110100 => 2
[8,7,5,1,2,6,3,4] => 1110010 => 2
[8,6,4,1,2,7,5,3] => 1110011 => 1
[8,7,4,1,2,5,3,6] => 1110010 => 2
[8,7,5,1,2,3,6,4] => 1110001 => 1
[6,5,3,7,4,2,1,8] => 1101110 => 2
[1,6,3,8,4,2,5,7] => 0101100 => 2
[4,7,2,5,3,6,1,8] => 0101010 => 3
[1,8,3,4,5,2,6,7] => 0100100 => 2
[1,8,6,4,2,5,3,7] => 0111010 => 2
[8,2,6,4,1,5,7,3] => 1011001 => 2
[7,8,3,4,6,1,5,2] => 0100101 => 2
[4,8,7,5,3,1,6,2] => 0111101 => 1
[6,1,4,8,3,2,5,7] => 1001100 => 2
[4,1,8,5,3,2,6,7] => 1011100 => 2
[8,1,6,4,2,7,3,5] => 1011010 => 3
[3,1,7,4,2,5,8,6] => 1011001 => 2
[1,2,7,4,3,5,6,8] => 0011000 => 1
[6,1,8,5,2,4,3,7] => 1011010 => 3
[6,8,2,5,1,4,7,3] => 0101001 => 2
[4,5,2,1,6,8,7,3] => 0110011 => 1
[7,2,8,6,5,1,4,3] => 1011101 => 2
[7,4,8,6,1,5,3,2] => 1011011 => 2
[8,7,2,6,1,4,5,3] => 1101001 => 2
[1,7,8,6,2,4,3,5] => 0011010 => 2
[7,6,3,1,2,5,4,8] => 1110010 => 2
[8,5,3,1,2,4,7,6] => 1110001 => 1
[8,2,1,6,5,3,4,7] => 1101100 => 2
[3,8,1,5,6,2,4,7] => 0100100 => 2
[6,8,4,1,5,2,3,7] => 0110100 => 2
[3,2,8,1,6,4,5,7] => 1010100 => 3
[5,2,1,3,7,6,4,8] => 1100110 => 2
[5,4,1,2,8,3,7,6] => 1100101 => 2
[5,8,4,1,2,3,7,6] => 0110001 => 1
[7,1,2,5,3,4,6,8] => 1001000 => 2
[1,6,7,3,2,8,4,5] => 0011010 => 2
[1,8,6,3,2,7,4,5] => 0111010 => 2
[1,5,3,7,2,8,4,6] => 0101010 => 3
[1,4,6,2,8,5,3,7] => 0010110 => 2
[1,5,6,2,8,4,3,7] => 0010110 => 2
[2,4,6,3,1,7,5,8] => 0011010 => 2
[3,4,8,6,5,7,2,1] => 0011011 => 1
[1,2,5,7,4,3,6,8] => 0001100 => 1
[1,2,5,7,4,6,8,3] => 0001001 => 1
[3,5,8,6,1,7,2,4] => 0011010 => 2
[2,3,6,8,1,7,4,5] => 0001010 => 2
[2,3,7,1,8,6,4,5] => 0010110 => 2
[2,6,1,7,8,5,3,4] => 0100110 => 2
[2,4,8,5,6,7,1,3] => 0010010 => 2
[1,4,8,5,6,7,3,2] => 0010011 => 1
[4,8,3,1,6,5,7,2] => 0110101 => 2
[1,6,8,5,4,2,7,3] => 0011101 => 1
[6,5,8,4,2,1,7,3] => 1011101 => 2
[1,7,8,6,5,4,2,3] => 0011110 => 1
[6,8,7,4,5,1,3,2] => 0110101 => 2
[6,1,3,5,4,2,8,7] => 1001101 => 2
[3,6,4,2,5,1,8,7] => 0110101 => 2
[2,1,5,8,6,4,7,3] => 1001101 => 2
[4,2,8,5,6,3,7,1] => 1010101 => 3
[5,7,2,3,4,6,8,1] => 0100001 => 1
[1,8,7,3,2,5,6,4] => 0111001 => 1
[5,7,1,2,3,8,6,4] => 0100011 => 1
[7,8,6,2,4,1,5,3] => 0110101 => 2
[7,2,8,4,6,1,5,3] => 1010101 => 3
[7,4,6,2,8,1,5,3] => 1010101 => 3
[7,1,5,8,2,3,6,4] => 1001001 => 2
[7,6,4,8,2,1,5,3] => 1101101 => 2
[6,1,8,4,2,3,5,7] => 1011000 => 2
[7,3,6,2,1,8,5,4] => 1011011 => 2
[1,8,6,4,2,5,7,3] => 0111001 => 1
[5,6,2,1,8,4,7,3] => 0110101 => 2
[5,1,6,4,3,8,7,2] => 1011011 => 2
[5,4,6,8,1,3,7,2] => 1001001 => 2
[3,7,1,6,4,5,8,2] => 0101001 => 2
[3,5,2,1,4,6,7,8] => 0110000 => 1
[1,3,8,7,5,4,6,2] => 0011101 => 1
[9,3,4,2,5,6,7,8,1] => 10100001 => 2
[1,2,3,4,5,7,9,8,6] => 00000011 => 0
[1,2,3,4,6,7,9,8,5] => 00000011 => 0
[1,2,3,4,6,8,9,7,5] => 00000011 => 0
[1,2,3,4,6,9,8,7,5] => 00000111 => 0
[1,2,3,5,6,7,9,8,4] => 00000011 => 0
[1,2,3,5,6,8,9,7,4] => 00000011 => 0
[1,2,3,5,6,9,8,7,4] => 00000111 => 0
[1,2,3,5,7,9,8,6,4] => 00000111 => 0
[1,2,3,5,9,8,7,6,4] => 00001111 => 0
[1,2,4,5,7,8,9,6,3] => 00000011 => 0
[1,2,4,5,7,9,8,6,3] => 00000111 => 0
[1,2,4,5,9,8,7,6,3] => 00001111 => 0
[1,2,4,6,9,8,7,5,3] => 00001111 => 0
[1,2,4,9,8,7,6,5,3] => 00011111 => 0
[1,3,5,7,9,8,6,4,2] => 00001111 => 0
[1,3,5,9,8,7,6,4,2] => 00011111 => 0
[1,2,3,4,5,6,8,10,9,7] => 000000011 => 0
[1,2,3,4,5,7,8,10,9,6] => 000000011 => 0
[1,2,3,4,5,7,9,10,8,6] => 000000011 => 0
[1,2,3,4,5,7,10,9,8,6] => 000000111 => 0
[1,2,3,4,6,7,8,10,9,5] => 000000011 => 0
[1,2,3,4,6,7,9,10,8,5] => 000000011 => 0
[1,2,3,4,6,7,10,9,8,5] => 000000111 => 0
[1,2,3,4,6,8,10,9,7,5] => 000000111 => 0
[1,2,3,4,6,10,9,8,7,5] => 000001111 => 0
[1,2,3,5,6,7,9,10,8,4] => 000000011 => 0
[1,2,3,5,6,7,10,9,8,4] => 000000111 => 0
[1,2,3,5,6,8,9,10,7,4] => 000000011 => 0
[1,2,3,5,6,8,10,9,7,4] => 000000111 => 0
[1,2,3,5,6,10,9,8,7,4] => 000001111 => 0
[1,2,3,5,7,9,10,8,6,4] => 000000111 => 0
[1,2,3,5,7,10,9,8,6,4] => 000001111 => 0
[1,2,3,5,10,9,8,7,6,4] => 000011111 => 0
[1,2,4,5,7,8,10,9,6,3] => 000000111 => 0
[1,2,4,5,7,9,10,8,6,3] => 000000111 => 0
[1,2,4,5,7,10,9,8,6,3] => 000001111 => 0
[1,2,4,5,10,9,8,7,6,3] => 000011111 => 0
[1,2,4,6,10,9,8,7,5,3] => 000011111 => 0
[1,2,4,10,9,8,7,6,5,3] => 000111111 => 0
[1,3,5,7,9,10,8,6,4,2] => 000001111 => 0
[1,3,5,7,10,9,8,6,4,2] => 000011111 => 0
[1,3,5,10,9,8,7,6,4,2] => 000111111 => 0
[1,3,10,9,8,7,6,5,4,2] => 001111111 => 0
[6,7,3,4,8,5,1,2] => 0100110 => 2
[7,4,1,8,2,5,6,3] => 1101001 => 2
[3,1,7,2,5,6,8,4] => 1010001 => 2
[4,1,5,7,3,2,8,6] => 1001101 => 2
[6,4,1,7,2,8,5,3] => 1101011 => 2
[7,3,1,6,2,8,5,4] => 1101011 => 2
[4,8,2,5,3,1,6,7] => 0101100 => 2
[5,1,3,4,8,2,6,7] => 1000100 => 2
[6,1,4,5,7,8,2,3] => 1000010 => 2
[6,3,4,7,1,8,5,2] => 1001011 => 2
[7,1,3,4,5,6,8,2] => 1000001 => 1
[8,5,2,7,6,3,1,4] => 1101110 => 2
[1,8,3,5,6,2,7,4] => 0100101 => 2
[8,3,2,5,6,1,7,4] => 1100101 => 2
[4,2,5,1,6,8,7,3] => 1010011 => 2
[5,4,2,7,8,6,1,3] => 1100110 => 2
[6,8,7,2,1,3,4,5] => 0111000 => 1
[3,7,6,8,5,2,4,1] => 0101101 => 2
[1,7,8,5,2,6,3,4] => 0011010 => 2
[7,6,1,2,5,3,8,4] => 1100101 => 2
[5,8,7,2,6,3,4,1] => 0110101 => 2
[7,6,2,4,8,1,5,3] => 1100101 => 2
[1,5,7,3,8,6,2,4] => 0010110 => 2
[6,7,5,1,8,2,3,4] => 0110100 => 2
[7,6,1,2,4,3,8,5] => 1100101 => 2
[6,7,2,1,5,3,8,4] => 0110101 => 2
[4,3,2,8,7,1,6,5] => 1101101 => 2
[4,8,3,1,7,6,5,2] => 0110111 => 1
[5,3,8,7,1,6,4,2] => 1011011 => 2
[5,8,7,3,1,6,4,2] => 0111011 => 1
[5,3,8,2,1,7,6,4] => 1011011 => 2
[3,8,7,2,6,5,1,4] => 0110110 => 2
[7,4,1,8,6,5,3,2] => 1101111 => 1
[5,4,2,8,1,7,6,3] => 1101011 => 2
[5,8,4,2,1,7,6,3] => 0111011 => 1
[5,8,4,7,1,6,3,2] => 0101011 => 2
[5,4,8,3,1,7,6,2] => 1011011 => 2
[8,5,6,1,4,7,2,3] => 1010010 => 3
[6,7,4,1,2,5,8,3] => 0110001 => 1
[1,6,7,4,2,5,8,3] => 0011001 => 1
[3,6,7,5,8,1,2,4] => 0010100 => 2
[1,6,7,5,8,3,2,4] => 0010110 => 2
[3,8,6,5,7,4,1,2] => 0110110 => 2
[8,1,6,5,7,4,3,2] => 1010111 => 2
[5,2,1,6,8,4,7,3] => 1100101 => 2
[6,5,8,7,4,2,3,1] => 1011101 => 2
[6,8,5,7,4,2,1,3] => 0101110 => 2
[3,6,7,5,8,2,1,4] => 0010110 => 2
[4,7,5,3,8,1,2,6] => 0110100 => 2
[4,7,5,3,6,1,2,8] => 0110100 => 2
[4,7,5,3,1,6,2,8] => 0111010 => 2
[2,7,5,3,6,4,8,1] => 0110101 => 2
[2,7,5,6,3,8,4,1] => 0101011 => 2
[2,7,5,3,6,8,1,4] => 0110010 => 2
[8,7,5,3,1,4,6,2] => 1111001 => 1
[2,7,5,3,1,4,8,6] => 0111001 => 1
[2,7,5,3,4,8,6,1] => 0110011 => 1
[5,7,6,2,8,3,1,4] => 0110110 => 2
[5,1,6,3,2,4,8,7] => 1011001 => 2
[5,7,6,1,8,3,2,4] => 0110110 => 2
[3,8,7,2,1,5,4,6] => 0111010 => 2
[6,1,7,2,8,4,3,5] => 1010110 => 3
[4,8,5,6,7,3,1,2] => 0100110 => 2
[3,7,6,2,8,5,1,4] => 0110110 => 2
[6,1,7,3,8,5,2,4] => 1010110 => 3
[7,1,8,3,2,5,4,6] => 1011010 => 3
[2,7,8,3,1,5,4,6] => 0011010 => 2
[4,8,5,6,7,2,1,3] => 0100110 => 2
[5,8,6,2,7,4,1,3] => 0110110 => 2
[2,4,6,7,8,5,1,3] => 0000110 => 1
[2,4,6,7,8,3,1,5] => 0000110 => 1
[4,7,6,2,8,5,1,3] => 0110110 => 2
[5,8,7,3,2,4,1,6] => 0111010 => 2
[4,6,5,8,7,3,1,2] => 0101110 => 2
[8,3,1,7,2,6,4,5] => 1101010 => 3
[4,5,1,2,8,7,3,6] => 0100110 => 2
[5,6,1,2,8,3,7,4] => 0100101 => 2
[5,8,7,1,6,2,4,3] => 0110101 => 2
[8,4,5,1,7,6,2,3] => 1010110 => 3
[6,3,1,4,8,2,7,5] => 1100101 => 2
[8,5,6,1,7,2,4,3] => 1010101 => 3
[7,5,6,1,3,8,4,2] => 1010011 => 2
[5,7,6,1,3,8,4,2] => 0110011 => 1
[6,7,1,4,2,8,5,3] => 0101011 => 2
[2,1,6,4,8,3,7,5] => 1010101 => 3
[1,5,7,8,4,2,3,6] => 0001100 => 1
[1,3,6,4,2,5,7,8] => 0011000 => 1
[1,4,5,7,8,3,6,2] => 0000101 => 1
[1,5,7,8,3,6,2,4] => 0001010 => 2
[1,5,7,8,2,4,3,6] => 0001010 => 2
[6,8,4,7,3,2,1,5] => 0101110 => 2
[6,8,5,4,2,7,1,3] => 0111010 => 2
[1,8,4,6,3,2,7,5] => 0101101 => 2
[6,4,8,5,3,2,1,7] => 1011110 => 2
[3,5,6,1,4,2,7,8] => 0010100 => 2
[1,6,3,8,4,2,7,5] => 0101101 => 2
[7,1,3,2,4,6,8,5] => 1010001 => 2
[2,6,5,7,8,3,1,4] => 0100110 => 2
[4,1,8,2,6,7,5,3] => 1010011 => 2
[3,6,7,8,2,1,4,5] => 0001100 => 1
[2,5,7,1,6,3,4,8] => 0010100 => 2
[4,2,8,3,6,5,1,7] => 1010110 => 3
[6,3,8,7,2,4,5,1] => 1011001 => 2
[7,6,1,8,2,4,5,3] => 1101001 => 2
[2,5,6,3,4,8,1,7] => 0010010 => 2
[5,2,4,7,8,6,1,3] => 1000110 => 2
[7,2,1,3,4,8,5,6] => 1100010 => 2
[2,4,5,7,1,8,6,3] => 0001011 => 1
[8,1,6,2,3,4,7,5] => 1010001 => 2
[6,1,4,2,5,7,8,3] => 1010001 => 2
[6,5,1,2,3,7,8,9,4] => 11000001 => 1
[1,6,7,2,4,3,5,8] => 0010100 => 2
[1,8,3,4,5,2,7,6] => 0100101 => 2
[1,8,3,6,4,7,2,5] => 0101010 => 3
[1,4,7,2,5,6,3,8] => 0010010 => 2
[7,3,5,8,2,6,1,4] => 1001010 => 3
[3,4,8,6,7,2,1,5] => 0010110 => 2
[3,4,8,2,5,1,7,6] => 0010101 => 2
[1,7,2,5,8,4,3,6] => 0100110 => 2
[1,4,6,7,8,3,5,2] => 0000101 => 1
[4,1,5,3,6,8,7,2] => 1010011 => 2
[5,8,7,4,6,2,3,1] => 0110101 => 2
[6,8,7,1,5,3,4,2] => 0110101 => 2
[2,7,8,4,6,5,1,3] => 0010110 => 2
[3,7,8,5,4,6,2,1] => 0011011 => 1
[4,8,7,5,2,6,3,1] => 0111011 => 1
[2,8,7,4,6,1,5,3] => 0110101 => 2
[4,8,7,2,5,6,3,1] => 0110011 => 1
[4,7,8,5,3,6,2,1] => 0011011 => 1
[6,4,8,1,5,7,3,2] => 1010011 => 2
[1,6,8,3,5,2,7,4] => 0010101 => 2
[4,5,8,6,3,7,2,1] => 0011011 => 1
[2,6,7,8,4,5,1,3] => 0001010 => 2
[6,1,2,8,4,7,5,3] => 1001011 => 2
[4,7,1,8,5,6,3,2] => 0101011 => 2
[5,7,1,8,2,6,4,3] => 0101011 => 2
[7,2,1,8,6,4,5,3] => 1101101 => 2
[5,3,8,4,7,6,2,1] => 1010111 => 2
[2,5,8,1,7,4,6,3] => 0010101 => 2
[4,5,8,3,7,6,2,1] => 0010111 => 1
[1,7,2,8,6,4,5,3] => 0101101 => 2
[3,5,7,8,1,6,2,4] => 0001010 => 2
[2,4,7,8,5,6,1,3] => 0001010 => 2
[4,1,7,8,5,6,3,2] => 1001011 => 2
[3,5,8,6,4,7,2,1] => 0011011 => 1
[2,4,8,5,7,6,1,3] => 0010110 => 2
[2,6,3,8,5,1,7,4] => 0101101 => 2
[4,1,5,8,6,7,3,2] => 1001011 => 2
[5,3,4,7,6,1,2,8] => 1001100 => 2
[6,2,1,4,8,3,7,5] => 1100101 => 2
[2,8,5,4,1,3,7,6] => 0111001 => 1
[4,2,8,7,1,3,5,6] => 1011000 => 2
[5,4,6,3,1,7,2,8] => 1011010 => 3
[4,3,6,5,1,8,2,7] => 1011010 => 3
[1,5,6,8,7,3,2,4] => 0001110 => 1
[1,4,8,3,6,5,2,7] => 0010110 => 2
[1,3,8,6,4,7,2,5] => 0011010 => 2
[1,2,8,6,4,3,7,5] => 0011101 => 1
[6,5,1,8,7,3,2,4] => 1101110 => 2
[4,1,7,6,8,3,2,5] => 1010110 => 3
[1,8,4,7,6,2,3,5] => 0101100 => 2
[8,3,2,6,1,7,4,5] => 1101010 => 3
[1,6,3,7,4,5,2,8] => 0101010 => 3
[2,6,3,7,4,8,5,1] => 0101011 => 2
[4,6,1,7,8,2,5,3] => 0100101 => 2
[7,2,3,8,4,5,6,1] => 1001001 => 2
[5,2,6,7,8,3,4,1] => 1000101 => 2
[6,5,8,1,2,7,4,3] => 1010011 => 2
[6,5,1,8,7,2,4,3] => 1101101 => 2
[5,8,4,3,7,2,1,6] => 0110110 => 2
[6,1,2,8,7,3,4,5] => 1001100 => 2
[7,3,2,8,4,6,1,5] => 1101010 => 3
[4,5,1,7,6,2,8,3] => 0101101 => 2
[1,5,2,7,6,3,4,8] => 0101100 => 2
[7,2,6,8,3,5,4,1] => 1001011 => 2
[4,8,1,7,6,2,5,3] => 0101101 => 2
[7,2,8,6,5,3,4,1] => 1011101 => 2
[4,1,8,7,6,5,2,3] => 1011110 => 2
[7,6,5,2,8,4,3,1] => 1110111 => 1
[6,5,1,8,7,4,3,2] => 1101111 => 1
[7,5,1,8,6,4,3,2] => 1101111 => 1
[8,5,1,7,6,4,3,2] => 1101111 => 1
[8,5,3,7,6,1,4,2] => 1101101 => 2
[3,8,7,6,1,5,4,2] => 0111011 => 1
[9,1,8,2,3,4,5,6,10,7] => 101000001 => 2
[9,7,1,2,3,4,5,6,10,8] => 110000001 => 1
[2,10,1,9,3,4,5,6,7,8] => 010100000 => 2
[2,10,8,1,3,4,5,6,7,9] => 011000000 => 1
[8,3,7,5,4,1,6,2] => 1011101 => 2
[4,5,3,1,8,7,2,6] => 0110110 => 2
[3,4,8,1,5,2,6,7] => 0010100 => 2
[8,6,5,7,1,3,2,4] => 1101010 => 3
[1,5,8,6,2,7,4,3] => 0011011 => 1
[3,1,8,5,7,2,6,4] => 1010101 => 3
[6,8,5,3,4,2,1,7] => 0110110 => 2
[8,5,2,6,4,3,1,7] => 1101110 => 2
[8,6,4,5,2,1,7,3] => 1101101 => 2
[8,5,2,6,1,4,7,3] => 1101001 => 2
[2,7,5,8,1,4,6,3] => 0101001 => 2
[3,2,6,7,1,8,5,4] => 1001011 => 2
[3,4,6,7,8,2,1,5] => 0000110 => 1
[3,2,6,7,8,4,1,5] => 1000110 => 2
[6,2,7,4,8,5,1,3] => 1010110 => 3
[6,7,1,3,8,5,4,2] => 0100111 => 1
[6,7,1,8,5,2,4,3] => 0101101 => 2
[1,2,6,7,8,5,3,4] => 0000110 => 1
[1,6,7,4,8,3,2,5] => 0010110 => 2
[1,4,6,7,8,3,2,5] => 0000110 => 1
[6,1,2,4,5,3,7,8] => 1000100 => 2
[8,1,7,3,2,6,4,5] => 1011010 => 3
[4,1,3,2,5,6,7,8,9] => 10100000 => 2
[6,1,2,4,5,3,7,8,9] => 10001000 => 2
[5,4,1,2,3,6,7,8,9] => 11000000 => 1
[8,1,2,3,5,6,7,4,9] => 10000010 => 2
[4,1,6,3,5,2,7,8,9] => 10101000 => 3
[8,1,7,3,2,6,4,5,9] => 10110100 => 3
[5,7,1,6,2,4,3,8,9] => 01010100 => 3
[7,3,4,6,1,2,5,8,9] => 10010000 => 2
[6,1,2,9,4,5,7,8,3] => 10010001 => 2
[4,1,6,3,8,5,7,2,9] => 10101010 => 4
[6,8,5,1,7,2,3,4,9] => 01101000 => 2
[8,3,4,5,7,1,2,6,9] => 10001000 => 2
[5,7,1,9,2,8,4,6,3] => 01010101 => 3
[7,9,4,6,1,8,2,3,5] => 01010100 => 3
[4,1,3,2,5,6,7,8,9,10] => 101000000 => 2
[6,1,2,4,5,3,7,8,9,10] => 100010000 => 2
[5,4,1,2,3,6,7,8,9,10] => 110000000 => 1
[8,1,2,3,5,6,7,4,9,10] => 100000100 => 2
[4,1,6,3,5,2,7,8,9,10] => 101010000 => 3
[8,1,7,3,2,6,4,5,9,10] => 101101000 => 3
[5,7,1,6,2,4,3,8,9,10] => 010101000 => 3
[7,3,4,6,1,2,5,8,9,10] => 100100000 => 2
[6,1,2,9,4,5,7,8,3,10] => 100100010 => 3
[4,1,6,3,8,5,7,2,9,10] => 101010100 => 4
[6,8,5,1,7,2,3,4,9,10] => 011010000 => 2
[8,3,4,5,7,1,2,6,9,10] => 100010000 => 2
[10,1,6,3,9,5,2,8,4,7] => 101011010 => 4
[5,7,1,9,2,8,4,6,3,10] => 010101010 => 4
[7,9,4,6,1,8,2,3,5,10] => 010101000 => 3
[9,3,4,5,6,8,1,2,7,10] => 100001000 => 2
[4,1,6,3,8,5,10,7,9,2] => 101010101 => 4
[6,8,10,1,7,2,9,3,5,4] => 001010101 => 3
[8,10,4,5,7,1,9,2,3,6] => 010010100 => 3
[10,3,4,5,6,7,9,1,2,8] => 100000100 => 2
[8,7,2,1,5,4,6,3] => 1110101 => 2
[2,7,4,8,6,5,3,1] => 0101111 => 1
[7,6,5,2,4,1,8,3] => 1110101 => 2
[7,6,4,3,1,5,8,2] => 1111001 => 1
[6,1,8,7,2,3,5,4] => 1011001 => 2
[8,6,1,2,7,3,4,5] => 1100100 => 2
[3,6,8,2,7,1,5,4] => 0010101 => 2
[2,8,6,1,4,5,7,3] => 0110001 => 1
[6,8,7,2,5,4,1,3] => 0110110 => 2
[3,5,7,9,1,2,4,6,8,10] => 000100000 => 1
[4,1,2,3,5,6,7,8,9,10] => 100000000 => 1
[5,1,2,3,4,6,7,8,9,10] => 100000000 => 1
[8,1,2,3,4,5,6,7,9,10] => 100000000 => 1
[7,1,2,3,4,5,6,8,9,10] => 100000000 => 1
[6,1,2,3,4,5,7,8,9,10] => 100000000 => 1
[3,1,2,4,5,6,7,8,9,10,11,12] => 10000000000 => 1
[3,2,6,4,8,7,5,1] => 1010111 => 2
[4,7,2,8,6,5,1,3] => 0101110 => 2
[4,7,1,8,6,5,3,2] => 0101111 => 1
[2,7,4,8,3,6,1,5] => 0101010 => 3
[4,7,3,8,6,1,5,2] => 0101101 => 2
[4,3,6,8,7,2,5,1] => 1001101 => 2
[4,3,8,2,5,7,6,1] => 1010011 => 2
[4,1,2,6,8,7,5,3] => 1000111 => 1
[3,1,6,4,8,7,2,5] => 1010110 => 3
[4,1,6,8,7,5,2,3] => 1001110 => 2
[3,8,1,4,5,7,2,6] => 0100010 => 2
[3,8,1,4,2,5,7,6] => 0101001 => 2
[4,1,8,3,5,2,7,6] => 1010101 => 3
[3,8,1,2,5,4,7,6] => 0100101 => 2
[4,2,3,6,8,7,1,5] => 1000110 => 2
[4,2,8,3,5,1,7,6] => 1010101 => 3
[4,2,8,3,5,7,6,1] => 1010011 => 2
[3,8,2,4,5,7,6,1] => 0100011 => 1
[3,8,2,5,1,4,7,6] => 0101001 => 2
[4,2,8,5,7,1,3,6] => 1010100 => 3
[3,8,1,5,2,4,7,6] => 0101001 => 2
[7,5,6,4,1,3,2,8] => 1011010 => 3
[7,8,6,4,1,3,2,5] => 0111010 => 2
[7,1,4,2,5,6,3,8] => 1010010 => 3
[7,3,2,1,4,6,5,8] => 1110010 => 2
[7,6,1,4,3,2,5,8] => 1101100 => 2
[7,4,1,3,5,6,2,8] => 1100010 => 2
[2,7,1,3,5,6,8,4] => 0100001 => 1
[3,6,2,1,5,8,7,4] => 0110011 => 1
[2,3,6,1,5,8,7,4] => 0010011 => 1
[3,4,7,1,5,6,8,2] => 0010001 => 1
[3,6,7,4,1,2,8,5] => 0011001 => 1
[4,3,2,7,1,6,8,5] => 1101001 => 2
[7,3,2,8,1,6,4,5] => 1101010 => 3
[7,4,8,1,5,6,3,2] => 1010011 => 2
[2,6,8,1,5,3,7,4] => 0010101 => 2
[6,8,2,1,5,3,7,4] => 0110101 => 2
[4,8,2,5,3,6,7,1] => 0101001 => 2
[4,5,8,2,3,6,7,1] => 0010001 => 1
[2,4,8,5,3,6,7,1] => 0011001 => 1
[5,3,2,6,4,8,7,1] => 1101011 => 2
[2,4,5,3,8,6,7,1] => 0010101 => 2
[4,3,5,2,8,6,7,1] => 1010101 => 3
[4,8,5,3,2,6,7,1] => 0111001 => 1
[3,5,4,2,8,6,7,1] => 0110101 => 2
[4,1,2,7,5,6,8,3] => 1001001 => 2
[5,6,7,4,2,8,3,1] => 0011011 => 1
[2,5,7,4,6,8,3,1] => 0010011 => 1
[7,5,2,4,3,8,6,1] => 1101011 => 2
[6,8,1,2,5,4,7,3] => 0100101 => 2
[6,4,1,8,5,2,7,3] => 1101101 => 2
[2,6,1,8,5,4,7,3] => 0101101 => 2
[7,1,2,8,5,6,4,3] => 1001011 => 2
[4,3,2,6,8,5,7,1] => 1100101 => 2
[3,7,6,4,8,5,2,1] => 0110111 => 1
[3,1,6,8,5,4,7,2] => 1001101 => 2
[2,3,5,8,4,6,7,1] => 0001001 => 1
[3,5,2,8,4,6,7,1] => 0101001 => 2
[3,4,5,8,2,6,7,1] => 0001001 => 1
[5,4,2,8,3,6,7,1] => 1101001 => 2
[5,3,4,8,2,6,7,1] => 1001001 => 2
[2,5,4,8,3,6,7,1] => 0101001 => 2
[6,3,2,5,8,4,7,1] => 1100101 => 2
[6,1,8,3,5,4,7,2] => 1010101 => 3
[5,4,8,3,2,6,7,1] => 1011001 => 2
[5,8,2,3,4,6,7,1] => 0100001 => 1
[6,2,1,7,8,5,4,3] => 1100111 => 1
[7,4,6,8,3,2,5,1] => 1001101 => 2
[3,4,5,2,7,1,6,8] => 0010100 => 2
[7,5,6,1,2,3,8,4] => 1010001 => 2
[1,5,7,6,3,2,8,4] => 0011101 => 1
[8,4,6,7,3,2,5,1] => 1001101 => 2
[8,4,6,2,3,1,5,7] => 1010100 => 3
[7,5,2,1,4,3,8,6] => 1110101 => 2
[3,1,7,8,5,4,2,6] => 1001110 => 2
[3,4,5,2,1,8,6,7] => 0011010 => 2
[7,6,4,8,3,1,2,5] => 1101100 => 2
[7,4,8,5,6,1,2,3] => 1010100 => 3
[6,2,8,5,1,3,4,7] => 1011000 => 2
[3,2,7,8,6,1,4,5] => 1001100 => 2
[6,8,2,5,1,3,7,4] => 0101001 => 2
[6,7,4,2,1,5,3,8] => 0111010 => 2
[5,7,4,1,3,6,2,8] => 0110010 => 2
[4,2,7,5,1,8,3,6] => 1011010 => 3
[4,1,6,5,3,8,2,7] => 1011010 => 3
[1,5,4,6,3,8,2,7] => 0101010 => 3
[1,8,6,4,7,3,2,5] => 0110110 => 2
[4,7,1,8,6,3,5,2] => 0101101 => 2
[5,4,8,1,7,3,6,2] => 1010101 => 3
[4,3,8,6,2,1,7,5] => 1011101 => 2
[8,3,6,2,4,1,7,5] => 1010101 => 3
[7,8,3,2,4,6,5,1] => 0110011 => 1
[7,2,8,5,3,1,6,4] => 1011101 => 2
[2,5,4,8,7,3,6,1] => 0101101 => 2
[6,4,2,8,7,3,1,5] => 1101110 => 2
[3,6,8,1,7,4,2,5] => 0010110 => 2
[7,8,6,3,1,4,5,2] => 0111001 => 1
[3,8,6,1,7,5,2,4] => 0110110 => 2
[2,7,5,4,8,3,1,6] => 0110110 => 2
[6,8,7,5,2,1,3,4] => 0111100 => 1
[7,6,2,8,5,1,3,4] => 1101100 => 2
[1,5,7,6,2,8,4,3] => 0011011 => 1
[1,6,5,2,7,8,4,3] => 0110011 => 1
[4,7,8,5,6,2,3,1] => 0010101 => 2
[4,7,8,1,2,5,6,3] => 0010001 => 1
[8,6,4,1,2,5,7,3] => 1110001 => 1
[6,1,4,7,2,5,8,3] => 1001001 => 2
[5,6,3,2,7,4,1,8] => 0110110 => 2
[2,6,4,3,7,5,8,1] => 0110101 => 2
[7,2,3,6,1,8,4,5] => 1001010 => 3
[3,4,6,5,7,1,2,8] => 0010100 => 2
[7,6,2,3,5,4,8,1] => 1100101 => 2
[8,5,2,4,3,6,1,7] => 1101010 => 3
[8,5,7,2,4,1,6,3] => 1010101 => 3
[2,6,7,5,8,1,4,3] => 0010101 => 2
[7,4,8,2,1,5,6,3] => 1011001 => 2
[2,3,6,7,8,5,1,4] => 0000110 => 1
[8,3,7,1,6,4,2,5] => 1010110 => 3
[8,2,1,7,6,5,3,4] => 1101110 => 2
[6,5,1,2,8,3,4,7] => 1100100 => 2
[5,6,8,1,3,7,2,4] => 0010010 => 2
[1,6,8,5,3,2,4,7] => 0011100 => 1
[5,8,1,6,7,4,2,3] => 0100110 => 2
[7,2,8,4,6,1,3,5] => 1010100 => 3
[6,2,7,4,3,8,1,5] => 1011010 => 3
[1,7,8,4,6,2,3,5] => 0010100 => 2
[7,1,8,4,6,2,3,5] => 1010100 => 3
[8,1,6,5,4,7,2,3] => 1011010 => 3
[4,1,6,8,7,3,2,5] => 1001110 => 2
[5,1,4,6,7,3,8,2] => 1000101 => 2
[7,1,3,4,6,2,8,5] => 1000101 => 2
[3,4,1,6,2,5,8,7,9] => 01010010 => 3
[3,4,1,2,6,5,8,7,9] => 01001010 => 3
[3,4,1,6,2,5,8,7,10,9] => 010100101 => 3
[3,5,1,6,2,4,8,7,9] => 01010010 => 3
[2,5,1,6,3,4,8,7,9] => 01010010 => 3
[3,5,1,2,6,4,8,7,9] => 01001010 => 3
[2,5,1,3,6,4,8,7,9] => 01001010 => 3
[8,7,1,4,6,3,2,5] => 1100110 => 2
[6,5,2,8,4,7,1,3] => 1101010 => 3
[1,4,7,5,8,6,3,2] => 0010111 => 1
[6,1,8,3,4,7,2,5] => 1010010 => 3
[1,8,6,3,5,2,7,4] => 0110101 => 2
[7,8,1,3,5,4,2,6] => 0100110 => 2
[4,7,1,6,8,3,5,2] => 0100101 => 2
[3,6,5,2,8,4,1,7] => 0110110 => 2
[8,2,5,6,3,1,7,4] => 1001101 => 2
[7,1,8,4,2,5,3,6] => 1011010 => 3
[1,4,8,7,5,2,6,3] => 0011101 => 1
[1,5,6,4,2,3,7,8] => 0011000 => 1
[5,8,7,4,2,1,3,6] => 0111100 => 1
[3,1,5,2,7,8,6,4] => 1010011 => 2
[1,8,7,3,2,5,4,6] => 0111010 => 2
[1,2,5,4,8,7,3,6] => 0010110 => 2
[1,2,4,8,6,3,5,7] => 0001100 => 1
[1,5,2,4,7,3,8,6] => 0100101 => 2
[8,6,3,5,7,4,1,2] => 1100110 => 2
[8,5,3,2,1,4,7,6] => 1111001 => 1
[1,2,7,6,8,4,3,5] => 0010110 => 2
[1,6,3,2,5,7,8,4] => 0110001 => 1
[1,7,3,4,2,6,8,5] => 0101001 => 2
[1,6,3,5,8,4,2,7] => 0100110 => 2
[1,5,6,3,2,8,4,7] => 0011010 => 2
[1,2,5,8,4,6,3,7] => 0001010 => 2
[1,5,3,2,7,8,4,6] => 0110010 => 2
[4,1,8,6,2,3,7,5] => 1011001 => 2
[7,5,8,6,2,3,4,1] => 1011001 => 2
[1,7,6,4,3,8,5,2] => 0111011 => 1
[1,8,5,7,6,3,2,4] => 0101110 => 2
[1,4,7,3,6,8,5,2] => 0010011 => 1
[1,6,3,5,7,8,4,2] => 0100011 => 1
[1,5,6,3,2,7,8,4] => 0011001 => 1
[1,2,7,6,8,4,5,3] => 0010101 => 2
[1,8,4,7,5,3,2,6] => 0101110 => 2
[6,8,5,2,1,7,4,3] => 0111011 => 1
[1,2,6,8,4,3,7,5] => 0001101 => 1
[5,3,7,2,6,4,1,8] => 1010110 => 3
[5,3,8,2,6,1,7,4] => 1010101 => 3
[7,6,2,5,3,4,1,8] => 1101010 => 3
[7,6,2,4,5,3,1,8] => 1100110 => 2
[7,6,2,4,3,5,1,8] => 1101010 => 3
[7,6,2,3,5,4,1,8] => 1100110 => 2
[8,4,2,7,1,6,3,5] => 1101010 => 3
[8,7,6,1,5,3,2,4] => 1110110 => 2
[8,7,6,1,4,3,5,2] => 1110101 => 2
[8,7,6,1,3,5,4,2] => 1110011 => 1
[8,7,6,1,5,4,2,3] => 1110110 => 2
[8,6,2,7,1,5,3,4] => 1101010 => 3
[5,3,7,2,8,1,6,4] => 1010101 => 3
[8,3,5,4,2,1,6,7] => 1011100 => 2
[7,8,4,3,1,5,2,6] => 0111010 => 2
[8,6,3,7,1,5,2,4] => 1101010 => 3
[8,7,6,1,2,5,3,4] => 1110010 => 2
[8,7,6,1,2,5,4,3] => 1110011 => 1
[8,7,6,1,4,2,5,3] => 1110101 => 2
[4,7,5,8,6,1,3,2] => 0101101 => 2
[6,5,7,3,8,4,1,2] => 1010110 => 3
[8,7,5,4,1,2,6,3] => 1111001 => 1
[8,6,7,1,5,3,2,4] => 1010110 => 3
[7,5,6,1,3,4,2,8] => 1010010 => 3
[5,7,8,1,3,4,2,6] => 0010010 => 2
[7,8,5,1,3,4,2,6] => 0110010 => 2
[5,7,8,3,4,6,1,2] => 0010010 => 2
[7,5,1,3,4,2,6,8] => 1100100 => 2
[5,7,1,3,4,2,8,6] => 0100101 => 2
[7,3,5,6,4,8,1,2] => 1001010 => 3
[1,7,3,8,2,5,6,4] => 0101001 => 2
[1,5,3,7,8,4,6,2] => 0100101 => 2
[1,5,7,3,8,2,6,4] => 0010101 => 2
[7,1,5,3,6,2,4,8] => 1010100 => 3
[1,7,3,5,8,4,2,6] => 0100110 => 2
[1,3,7,5,8,6,2,4] => 0010110 => 2
[1,7,8,5,3,6,2,4] => 0011010 => 2
[1,7,5,8,3,4,2,6] => 0101010 => 3
[7,1,5,6,3,4,2,8] => 1001010 => 3
[7,3,5,6,4,1,2,8] => 1001100 => 2
[3,7,5,8,4,1,2,6] => 0101100 => 2
[7,5,6,8,1,3,4,2] => 1001001 => 2
[5,3,4,7,8,1,2,6] => 1000100 => 2
[5,3,7,6,8,1,2,4] => 1010100 => 3
[3,7,1,2,5,8,4,6] => 0100010 => 2
[3,1,2,7,5,8,4,6] => 1001010 => 3
[3,1,2,5,7,8,6,4] => 1000011 => 1
[7,3,1,5,4,6,2,8] => 1101010 => 3
[7,3,5,1,2,6,4,8] => 1010010 => 3
[3,7,1,2,8,5,6,4] => 0100101 => 2
[5,3,1,7,4,6,8,2] => 1101001 => 2
[5,3,7,1,2,6,8,4] => 1010001 => 2
[7,4,8,3,5,6,1,2] => 1010010 => 3
[2,4,7,3,5,6,1,8] => 0010010 => 2
[5,7,6,4,2,3,1,8] => 0111010 => 2
[7,4,8,2,5,6,1,3] => 1010010 => 3
[5,8,2,4,6,1,3,7] => 0100100 => 2
[6,1,4,8,5,2,7,3] => 1001101 => 2
[3,4,5,8,1,6,7,2] => 0001001 => 1
[6,8,7,4,2,1,5,3] => 0111101 => 1
[5,6,8,4,7,3,1,2] => 0010110 => 2
[3,1,6,8,5,2,7,4] => 1001101 => 2
[2,3,8,1,5,6,4,7] => 0010010 => 2
[5,4,8,1,2,6,7,3] => 1010001 => 2
[5,1,8,2,4,6,7,3] => 1010001 => 2
[4,1,8,2,3,6,7,5] => 1010001 => 2
[5,2,3,8,1,7,4,6] => 1001010 => 3
[2,3,5,7,1,6,4,8] => 0001010 => 2
[1,5,3,8,2,4,6,7] => 0101000 => 2
[8,6,2,7,5,1,4,3] => 1101101 => 2
[2,7,1,8,6,3,5,4] => 0101101 => 2
[5,7,6,1,3,2,8,4] => 0110101 => 2
[3,5,4,6,1,7,8,2] => 0101001 => 2
[8,1,5,4,6,3,7,2] => 1010101 => 3
[8,4,2,5,6,3,7,1] => 1100101 => 2
[8,6,2,7,5,4,3,1] => 1101111 => 1
[5,4,7,2,8,6,1,3] => 1010110 => 3
[3,5,6,4,1,7,2,8] => 0011010 => 2
[2,5,6,1,7,4,3,8] => 0010110 => 2
[2,7,1,8,6,5,4,3] => 0101111 => 1
[3,7,6,1,8,5,4,2] => 0110111 => 1
[8,6,4,2,1,3,5,7,9] => 11110000 => 1
[8,6,2,1,4,3,5,7,9] => 11101000 => 2
[8,4,2,1,6,3,5,7,9] => 11101000 => 2
[6,4,2,1,8,3,5,7,9] => 11101000 => 2
[8,6,4,2,9,1,3,5,7] => 11101000 => 2
[9,6,4,2,7,1,3,5,8] => 11101000 => 2
[9,7,4,2,5,1,3,6,8] => 11101000 => 2
[9,7,5,2,3,1,4,6,8] => 11101000 => 2
[9,7,5,3,1,2,4,6,8] => 11110000 => 1
[10,8,6,4,2,1,3,5,7,9] => 111110000 => 1
[10,8,6,2,1,4,3,5,7,9] => 111101000 => 2
[8,2,1,4,3,6,5,7,9] => 11010100 => 3
[10,8,4,2,1,6,3,5,7,9] => 111101000 => 2
[4,2,1,6,3,5,8,7,9] => 11010010 => 3
[10,6,4,2,1,8,3,5,7,9] => 111101000 => 2
[6,4,2,1,8,3,5,9,7] => 11101001 => 2
[8,6,4,2,1,10,3,5,7,9] => 111101000 => 2
[6,4,2,7,1,3,5,8,9] => 11010000 => 2
[8,6,4,2,9,1,3,5,7,10] => 111010000 => 2
[6,2,8,3,1,4,5,7] => 1011000 => 2
[8,9,4,2,5,1,3,6,7] => 01101000 => 2
[9,6,4,2,7,1,3,5,8,10] => 111010000 => 2
[2,7,8,3,1,4,5,6] => 0011000 => 1
[9,6,7,2,3,1,4,5,8] => 10101000 => 3
[9,7,4,2,5,1,3,6,8,10] => 111010000 => 2
[9,7,4,5,1,2,3,6,8] => 11010000 => 2
[9,7,5,2,3,1,4,6,8,10] => 111010000 => 2
[9,7,5,3,1,2,4,6,8,10] => 111100000 => 1
[1,5,3,2,8,6,7,4] => 0110101 => 2
[1,8,5,3,2,6,7,4] => 0111001 => 1
[1,7,8,5,6,3,2,4] => 0010110 => 2
[1,5,6,7,3,2,8,4] => 0001101 => 1
[1,7,5,2,3,4,8,6] => 0110001 => 1
[1,7,5,2,4,8,6,3] => 0110011 => 1
[1,6,7,8,3,2,4,5] => 0001100 => 1
[1,4,8,6,2,3,5,7] => 0011000 => 1
[1,8,4,5,6,7,2,3] => 0100010 => 2
[1,2,8,6,3,4,5,7] => 0011000 => 1
[1,2,8,6,3,5,7,4] => 0011001 => 1
[1,2,7,8,4,3,5,6] => 0001100 => 1
[1,8,6,7,4,2,3,5] => 0101100 => 2
[1,6,7,8,4,2,3,5] => 0001100 => 1
[1,6,7,8,3,4,2,5] => 0001010 => 2
[1,7,4,2,3,8,5,6] => 0110010 => 2
[1,7,8,4,2,3,5,6] => 0011000 => 1
[1,7,3,5,6,2,8,4] => 0100101 => 2
[1,7,8,3,4,2,5,6] => 0010100 => 2
[1,2,3,7,8,5,4,6] => 0000110 => 1
[1,2,7,4,6,3,8,5] => 0010101 => 2
[1,7,4,5,2,3,8,6] => 0101001 => 2
[1,7,8,4,5,2,3,6] => 0010100 => 2
[1,7,8,3,4,5,2,6] => 0010010 => 2
[1,2,8,4,5,6,3,7] => 0010010 => 2
[1,8,4,5,6,2,3,7] => 0100100 => 2
[5,8,2,7,3,4,1,6] => 0101010 => 3
[6,8,7,2,3,4,1,5] => 0110010 => 2
[3,8,7,5,2,6,1,4] => 0111010 => 2
[4,8,7,3,2,5,1,6] => 0111010 => 2
[5,3,8,1,6,7,4,2] => 1010011 => 2
[5,8,2,1,3,7,6,4] => 0110011 => 1
[5,1,8,2,6,4,7,3] => 1010101 => 3
[5,1,8,3,6,7,4,2] => 1010011 => 2
[3,1,8,4,6,2,7,5] => 1010101 => 3
[8,4,1,6,5,2,3,7] => 1101100 => 2
[1,8,7,6,4,3,5,2] => 0111101 => 1
[6,1,8,7,5,3,4,2] => 1011101 => 2
[6,8,7,3,2,4,1,5] => 0111010 => 2
[2,3,7,5,6,8,4,1] => 0010011 => 1
[3,2,4,7,5,8,1,6] => 1001010 => 3
[2,8,7,6,4,5,1,3] => 0111010 => 2
[4,8,7,6,3,1,5,2] => 0111101 => 1
[3,5,2,4,7,6,8,1] => 0100101 => 2
[5,3,2,6,4,7,8,1] => 1101001 => 2
[5,3,2,6,7,4,8,1] => 1100101 => 2
[5,3,2,7,6,4,8,1] => 1101101 => 2
[7,3,5,2,8,4,6,1] => 1010101 => 3
[3,5,2,7,4,6,8,1] => 0101001 => 2
[3,2,5,7,4,6,8,1] => 1001001 => 2
[3,2,7,5,4,8,6,1] => 1011011 => 2
[3,7,5,2,4,8,6,1] => 0110011 => 1
[2,3,7,5,4,8,6,1] => 0011011 => 1
[8,3,5,1,6,4,7,2] => 1010101 => 3
[8,4,5,6,1,3,7,2] => 1001001 => 2
[3,4,7,6,8,2,5,1] => 0010101 => 2
[5,2,8,4,1,3,6,7] => 1011000 => 2
[3,8,5,2,1,4,6,7] => 0111000 => 1
[7,6,4,1,8,2,5,3] => 1110101 => 2
[7,5,4,2,1,6,3,8] => 1111010 => 2
[8,1,6,7,3,4,2,5] => 1001010 => 3
[8,2,1,6,7,4,3,5] => 1100110 => 2
[5,2,8,6,3,7,1,4] => 1011010 => 3
[7,6,8,1,2,5,4,3] => 1010011 => 2
[1,2,9,3,4,5,6,8,7] => 00100001 => 1
[1,2,3,8,4,5,9,6,7] => 00010010 => 2
[1,2,3,4,9,5,6,8,7] => 00001001 => 1
[2,1,3,4,8,5,7,6] => 1000101 => 2
[1,2,3,4,5,9,6,8,7] => 00000101 => 1
[7,1,2,3,4,8,5,9,6] => 10000101 => 2
[6,9,1,2,3,4,8,5,7] => 01000010 => 2
[1,2,10,3,4,5,6,7,9,8] => 001000001 => 1
[5,1,9,2,3,4,8,6,7] => 10100010 => 3
[1,2,3,9,4,5,6,10,7,8] => 000100010 => 2
[4,1,2,3,5,8,6,9,7] => 10000101 => 2
[1,2,3,4,10,5,6,7,9,8] => 000010001 => 1
[3,1,2,4,9,5,8,6,7] => 10001010 => 3
[1,2,3,4,5,10,6,7,9,8] => 000001001 => 1
[2,1,3,4,5,9,6,8,7] => 10000101 => 2
[1,2,3,4,5,6,9,10,7,8] => 000000010 => 1
[10,1,2,3,4,5,6,7,11,8,9] => 1000000010 => 2
[8,1,2,3,4,5,9,6,10,7] => 100000101 => 2
[1,11,2,3,4,5,6,7,8,10,9] => 0100000001 => 1
[1,7,2,3,4,5,9,8,6] => 01000011 => 1
[7,10,1,2,3,4,5,9,6,8] => 010000010 => 2
[1,2,11,3,4,5,6,7,8,10,9] => 0010000001 => 1
[1,6,2,3,4,5,9,8,7] => 01000011 => 1
[6,1,2,3,7,4,8,9,5] => 10001001 => 2
[6,1,10,2,3,4,5,9,7,8] => 101000010 => 3
[1,2,3,10,4,5,6,7,11,8,9] => 0001000010 => 2
[5,7,1,2,6,8,3,4] => 0100010 => 2
[1,2,3,8,5,4,6,9,7] => 00011001 => 1
[5,9,1,2,6,3,4,8,7] => 01001001 => 2
[5,1,2,3,4,6,9,7,10,8] => 100000101 => 2
[1,2,3,4,11,5,6,7,8,10,9] => 0000100001 => 1
[1,4,2,3,5,6,9,8,7] => 01000011 => 1
[1,5,2,3,6,8,7,4] => 0100011 => 1
[4,1,9,5,2,3,6,8,7] => 10110001 => 2
[4,1,2,3,10,5,6,9,7,8] => 100010010 => 3
[1,2,3,4,5,11,6,7,8,10,9] => 0000010001 => 1
[1,3,2,4,5,6,9,8,7] => 01000011 => 1
[3,4,1,2,5,6,8,9,7] => 01000001 => 1
[3,1,2,4,5,10,6,9,7,8] => 100001010 => 3
[1,2,3,4,5,6,10,7,11,8,9] => 0000001010 => 2
[2,3,1,4,9,5,6,8,7] => 01001001 => 2
[1,2,3,4,5,6,7,11,8,10,9] => 0000000101 => 1
[1,2,3,4,5,6,7,8,11,10,9] => 0000000011 => 0
[3,5,7,4,1,8,2,6] => 0011010 => 2
[8,6,4,7,5,1,2,3] => 1101100 => 2
[8,6,4,1,2,5,3,7] => 1110010 => 2
[2,8,4,3,1,6,5,7] => 0111010 => 2
[3,8,4,6,1,5,2,7] => 0101010 => 3
[8,3,5,6,1,4,7,2] => 1001001 => 2
[6,8,7,3,5,4,2,1] => 0110111 => 1
[3,1,2,8,5,7,4,6] => 1001010 => 3
[8,1,2,3,4,6,9,5,7] => 10000010 => 2
[8,1,2,4,6,9,3,5,7] => 10000100 => 2
[6,1,2,3,4,5,9,8,7] => 10000011 => 1
[5,1,2,3,4,8,6,9,7] => 10000101 => 2
[4,1,2,3,9,6,8,5,7] => 10001010 => 3
[9,1,2,3,4,5,7,10,6,8] => 100000010 => 2
[7,3,1,2,5,8,4,6] => 1100010 => 2
[3,1,2,8,4,6,9,5,7] => 10010010 => 3
[8,3,5,7,2,1,4,6] => 1001100 => 2
[2,1,3,8,5,7,4,6] => 1001010 => 3
[2,1,9,4,6,8,3,5,7] => 10100100 => 3
[9,1,2,3,5,7,10,4,6,8] => 100000100 => 2
[1,8,2,4,6,9,3,5,7] => 01000100 => 2
[9,1,3,5,7,10,2,4,6,8] => 100001000 => 2
[7,3,1,2,8,4,5,6] => 1100100 => 2
[2,1,4,7,6,3,5,8] => 1001100 => 2
[7,2,4,5,3,8,1,6] => 1001010 => 3
[8,4,2,5,6,7,3,1] => 1100011 => 1
[5,4,1,6,3,7,8,2] => 1101001 => 2
[4,5,1,3,6,7,8,2] => 0100001 => 1
[5,1,7,6,3,4,8,2] => 1011001 => 2
[6,1,7,5,4,8,2,3] => 1011010 => 3
[3,7,2,1,6,8,4,5] => 0110010 => 2
[1,5,8,2,4,7,6,3] => 0010011 => 1
[5,8,1,6,4,7,3,2] => 0101011 => 2
[3,8,6,5,7,2,4,1] => 0110101 => 2
[6,8,1,4,7,3,5,2] => 0100101 => 2
[1,6,8,2,7,4,5,3] => 0010101 => 2
[5,7,2,1,8,4,3,6] => 0110110 => 2
[5,7,1,6,8,3,2,4] => 0100110 => 2
[5,6,2,1,8,3,4,7] => 0110100 => 2
[6,4,1,7,3,8,2,5] => 1101010 => 3
[8,2,5,6,7,1,4,3] => 1000101 => 2
[7,2,4,6,8,3,1,5] => 1000110 => 2
[6,2,4,7,8,1,3,5] => 1000100 => 2
[6,1,4,3,2,8,5,7] => 1011010 => 3
[2,7,4,8,6,1,5,3] => 0101101 => 2
[2,4,8,6,5,7,3,1] => 0011011 => 1
[3,7,8,6,4,2,5,1] => 0011101 => 1
[6,2,8,4,7,5,1,3] => 1010110 => 3
[4,5,7,3,6,8,1,2] => 0010010 => 2
[3,4,7,8,6,5,1,2] => 0001110 => 1
[1,4,7,2,6,8,5,3] => 0010011 => 1
[2,3,7,6,5,1,4,8] => 0011100 => 1
[3,2,7,6,4,1,5,8] => 1011100 => 2
[6,2,3,5,7,1,4,8] => 1000100 => 2
[7,8,1,2,5,6,4,3] => 0100011 => 1
[7,1,3,6,8,5,2,4] => 1000110 => 2
[4,2,8,5,1,6,3,7] => 1011010 => 3
[6,5,8,1,4,2,3,7] => 1010100 => 3
[3,8,2,4,5,1,6,7] => 0100100 => 2
[3,6,2,4,1,5,7,8] => 0101000 => 2
[2,3,8,4,1,6,5,7] => 0011010 => 2
[4,5,7,3,1,6,2,8] => 0011010 => 2
[2,3,1,4,8,5,7,6] => 0100101 => 2
[4,2,6,1,5,8,7,3] => 1010011 => 2
[7,5,1,8,4,3,6,2] => 1101101 => 2
[3,1,8,5,7,6,4,2] => 1010111 => 2
[5,1,8,7,4,6,3,2] => 1011011 => 2
[2,4,8,7,5,1,3,6] => 0011100 => 1
[3,5,7,6,1,8,4,2] => 0011011 => 1
[3,5,7,6,2,8,4,1] => 0011011 => 1
[1,5,3,2,8,7,6,4] => 0110111 => 1
[6,1,4,3,8,7,5,2] => 1010111 => 2
[6,3,1,8,7,4,2,5] => 1101110 => 2
[5,3,6,2,8,7,4,1] => 1010111 => 2
[6,3,5,2,1,8,7,4] => 1011011 => 2
[2,8,4,1,3,7,6,5] => 0110011 => 1
[3,8,1,4,7,6,5,2] => 0100111 => 1
[6,2,3,8,7,5,4,1] => 1001111 => 1
[4,1,3,5,8,7,6,2] => 1000111 => 1
[3,4,7,5,8,1,2,6] => 0010100 => 2
[2,7,8,3,4,1,5,6] => 0010100 => 2
[2,8,6,7,5,4,3,1] => 0101111 => 1
[7,2,6,8,1,4,3,5] => 1001010 => 3
[5,3,6,2,8,4,7,1] => 1010101 => 3
[8,1,6,3,7,4,5,2] => 1010101 => 3
[2,4,3,7,1,8,6,5] => 0101011 => 2
[2,6,5,7,3,8,4,1] => 0101011 => 2
[6,8,2,7,4,1,5,3] => 0101101 => 2
[6,1,7,8,5,3,2,4] => 1001110 => 2
[2,6,5,4,7,1,8,3] => 0110101 => 2
[5,8,3,4,6,1,7,2] => 0100101 => 2
[6,1,7,4,2,5,8,3] => 1011001 => 2
[6,8,7,1,5,4,2,3] => 0110110 => 2
[4,8,3,1,5,7,6,2] => 0110011 => 1
[5,3,8,2,7,1,6,4] => 1010101 => 3
[8,3,4,5,2,7,1,6] => 1001010 => 3
[8,2,6,7,1,5,3,4] => 1001010 => 3
[7,1,5,2,6,3,4,8] => 1010100 => 3
[3,7,1,5,2,6,8,4] => 0101001 => 2
[6,7,1,8,3,4,5,2] => 0101001 => 2
[3,7,1,6,8,4,5,2] => 0100101 => 2
[3,8,5,2,6,7,1,4] => 0110010 => 2
[3,6,5,2,7,1,4,8] => 0110100 => 2
[6,8,3,4,7,1,5,2] => 0100101 => 2
[3,7,1,6,5,2,8,4] => 0101101 => 2
[8,3,5,2,7,1,6,4] => 1010101 => 3
[3,8,6,4,7,1,5,2] => 0110101 => 2
[3,7,1,4,8,6,5,2] => 0100111 => 1
[3,7,1,4,5,2,8,6] => 0100101 => 2
[2,3,7,6,5,8,1,4] => 0011010 => 2
[4,3,5,6,7,8,9,1,2] => 10000010 => 2
[6,7,8,5,4,3,2,1,9] => 00111110 => 1
[6,5,7,8,4,3,2,1,9] => 10011110 => 2
[6,5,4,7,8,3,2,1,9] => 11001110 => 2
[6,5,4,3,7,8,2,1,9] => 11100110 => 2
[6,5,4,3,2,7,8,1,9] => 11110010 => 2
[7,8,9,5,4,3,2,1,6] => 00111110 => 1
[7,8,9,6,5,4,3,2,1,10] => 001111110 => 1
[6,7,8,9,4,3,2,1,5] => 00011110 => 1
[7,6,8,9,5,4,3,2,1,10] => 100111110 => 2
[6,5,7,8,9,3,2,1,4] => 10001110 => 2
[7,6,5,8,9,4,3,2,1,10] => 110011110 => 2
[6,5,4,7,8,9,2,1,3] => 11000110 => 2
[7,6,5,4,8,9,3,2,1,10] => 111001110 => 2
[6,5,4,3,7,8,9,1,2] => 11100010 => 2
[7,6,5,4,3,8,9,2,1,10] => 111100110 => 2
[6,5,4,3,2,7,8,9,1] => 11110001 => 1
[7,6,5,4,3,2,8,9,1,10] => 111110010 => 2
[2,1,4,3,6,5,8,7,11,12,9,10] => 10101010010 => 5
[2,1,4,3,6,5,9,10,7,8,12,11] => 10101001001 => 4
[2,1,4,3,6,5,9,11,7,12,8,10] => 10101001010 => 5
[2,1,4,3,6,5,10,11,12,7,8,9] => 10101000100 => 4
[2,1,4,3,7,8,5,6,10,9,12,11] => 10100100101 => 4
[2,1,4,3,7,8,5,6,11,12,9,10] => 10100100010 => 4
[2,1,4,3,7,9,5,10,6,8,12,11] => 10100101001 => 4
[2,1,4,3,7,9,5,11,6,12,8,10] => 10100101010 => 5
[2,1,4,3,7,10,5,11,12,6,8,9] => 10100100100 => 4
[2,1,4,3,8,9,10,5,6,7,12,11] => 10100010001 => 3
[2,1,4,3,8,9,11,5,6,12,7,10] => 10100010010 => 4
[2,1,4,3,8,10,11,5,12,6,7,9] => 10100010100 => 4
[2,1,4,3,9,10,11,12,5,6,7,8] => 10100001000 => 3
[2,1,5,6,3,4,8,7,10,9,12,11] => 10010010101 => 4
[2,1,5,6,3,4,8,7,11,12,9,10] => 10010010010 => 4
[2,1,5,6,3,4,9,10,7,8,12,11] => 10010001001 => 3
[2,1,5,6,3,4,9,11,7,12,8,10] => 10010001010 => 4
[2,1,5,6,3,4,10,11,12,7,8,9] => 10010000100 => 3
[2,1,5,7,3,8,4,6,10,9,12,11] => 10010100101 => 4
[2,1,5,7,3,8,4,6,11,12,9,10] => 10010100010 => 4
[2,1,5,7,3,9,4,10,6,8,12,11] => 10010101001 => 4
[2,1,5,7,3,9,4,11,6,12,8,10] => 10010101010 => 5
[2,1,5,7,3,10,4,11,12,6,8,9] => 10010100100 => 4
[2,1,5,8,3,9,10,4,6,7,12,11] => 10010010001 => 3
[2,1,5,8,3,9,11,4,6,12,7,10] => 10010010010 => 4
[2,1,5,8,3,10,11,4,12,6,7,9] => 10010010100 => 4
[2,1,5,9,3,10,11,12,4,6,7,8] => 10010001000 => 3
[2,1,6,7,8,3,4,5,10,9,12,11] => 10001000101 => 3
[2,1,6,7,8,3,4,5,11,12,9,10] => 10001000010 => 3
[2,1,6,7,9,3,4,10,5,8,12,11] => 10001001001 => 3
[2,1,6,7,9,3,4,11,5,12,8,10] => 10001001010 => 4
[2,1,6,7,10,3,4,11,12,5,8,9] => 10001000100 => 3
[2,1,6,8,9,3,10,4,5,7,12,11] => 10001010001 => 3
[2,1,6,8,9,3,11,4,5,12,7,10] => 10001010010 => 4
[2,1,6,8,10,3,11,4,12,5,7,9] => 10001010100 => 4
[2,1,6,9,10,3,11,12,4,5,7,8] => 10001001000 => 3
[2,1,7,8,9,10,3,4,5,6,12,11] => 10000100001 => 2
[2,1,7,8,9,11,3,4,5,12,6,10] => 10000100010 => 3
[2,1,7,8,10,11,3,4,12,5,6,9] => 10000100100 => 3
[2,1,7,9,10,11,3,12,4,5,6,8] => 10000101000 => 3
[2,1,8,9,10,11,12,3,4,5,6,7] => 10000010000 => 2
[3,4,1,2,6,5,8,7,10,9,12,11] => 01001010101 => 4
[3,4,1,2,6,5,8,7,11,12,9,10] => 01001010010 => 4
[3,4,1,2,6,5,9,10,7,8,12,11] => 01001001001 => 3
[3,4,1,2,6,5,9,11,7,12,8,10] => 01001001010 => 4
[3,4,1,2,6,5,10,11,12,7,8,9] => 01001000100 => 3
[3,4,1,2,7,8,5,6,10,9,12,11] => 01000100101 => 3
[3,4,1,2,7,8,5,6,11,12,9,10] => 01000100010 => 3
[3,4,1,2,7,9,5,10,6,8,12,11] => 01000101001 => 3
[3,4,1,2,7,9,5,11,6,12,8,10] => 01000101010 => 4
[3,4,1,2,7,10,5,11,12,6,8,9] => 01000100100 => 3
[3,4,1,2,8,9,10,5,6,7,12,11] => 01000010001 => 2
[3,4,1,2,8,9,11,5,6,12,7,10] => 01000010010 => 3
[3,4,1,2,8,10,11,5,12,6,7,9] => 01000010100 => 3
[3,4,1,2,9,10,11,12,5,6,7,8] => 01000001000 => 2
[3,5,1,6,2,4,8,7,10,9,12,11] => 01010010101 => 4
[3,5,1,6,2,4,8,7,11,12,9,10] => 01010010010 => 4
[3,5,1,6,2,4,9,10,7,8,12,11] => 01010001001 => 3
[3,5,1,6,2,4,9,11,7,12,8,10] => 01010001010 => 4
[3,5,1,6,2,4,10,11,12,7,8,9] => 01010000100 => 3
[3,5,1,7,2,8,4,6,10,9,12,11] => 01010100101 => 4
[3,5,1,7,2,8,4,6,11,12,9,10] => 01010100010 => 4
[3,5,1,7,2,9,4,10,6,8,12,11] => 01010101001 => 4
[3,5,1,7,2,9,4,11,6,12,8,10] => 01010101010 => 5
[3,5,1,7,2,10,4,11,12,6,8,9] => 01010100100 => 4
[3,5,1,8,2,9,10,4,6,7,12,11] => 01010010001 => 3
[3,5,1,8,2,9,11,4,6,12,7,10] => 01010010010 => 4
[3,5,1,8,2,10,11,4,12,6,7,9] => 01010010100 => 4
[3,5,1,9,2,10,11,12,4,6,7,8] => 01010001000 => 3
[3,6,1,7,8,2,4,5,10,9,12,11] => 01001000101 => 3
[3,6,1,7,8,2,4,5,11,12,9,10] => 01001000010 => 3
[3,6,1,7,9,2,4,10,5,8,12,11] => 01001001001 => 3
[3,6,1,7,9,2,4,11,5,12,8,10] => 01001001010 => 4
[3,6,1,7,10,2,4,11,12,5,8,9] => 01001000100 => 3
[3,6,1,8,9,2,10,4,5,7,12,11] => 01001010001 => 3
[3,6,1,8,9,2,11,4,5,12,7,10] => 01001010010 => 4
[3,6,1,8,10,2,11,4,12,5,7,9] => 01001010100 => 4
[3,6,1,9,10,2,11,12,4,5,7,8] => 01001001000 => 3
[3,7,1,8,9,10,2,4,5,6,12,11] => 01000100001 => 2
[3,7,1,8,9,11,2,4,5,12,6,10] => 01000100010 => 3
[3,7,1,8,10,11,2,4,12,5,6,9] => 01000100100 => 3
[3,7,1,9,10,11,2,12,4,5,6,8] => 01000101000 => 3
[3,8,1,9,10,11,12,2,4,5,6,7] => 01000010000 => 2
[4,5,6,1,2,3,8,7,10,9,12,11] => 00100010101 => 3
[4,5,6,1,2,3,8,7,11,12,9,10] => 00100010010 => 3
[4,5,6,1,2,3,9,10,7,8,12,11] => 00100001001 => 2
[4,5,6,1,2,3,9,11,7,12,8,10] => 00100001010 => 3
[4,5,6,1,2,3,10,11,12,7,8,9] => 00100000100 => 2
[4,5,7,1,2,8,3,6,10,9,12,11] => 00100100101 => 3
[4,5,7,1,2,8,3,6,11,12,9,10] => 00100100010 => 3
[4,5,7,1,2,9,3,10,6,8,12,11] => 00100101001 => 3
[4,5,7,1,2,9,3,11,6,12,8,10] => 00100101010 => 4
[4,5,7,1,2,10,3,11,12,6,8,9] => 00100100100 => 3
[4,5,8,1,2,9,10,3,6,7,12,11] => 00100010001 => 2
[4,5,8,1,2,9,11,3,6,12,7,10] => 00100010010 => 3
[4,5,8,1,2,10,11,3,12,6,7,9] => 00100010100 => 3
[4,5,9,1,2,10,11,12,3,6,7,8] => 00100001000 => 2
[4,6,7,1,8,2,3,5,10,9,12,11] => 00101000101 => 3
[4,6,7,1,8,2,3,5,11,12,9,10] => 00101000010 => 3
[4,6,7,1,9,2,3,10,5,8,12,11] => 00101001001 => 3
[4,6,7,1,9,2,3,11,5,12,8,10] => 00101001010 => 4
[4,6,7,1,10,2,3,11,12,5,8,9] => 00101000100 => 3
[4,6,8,1,9,2,10,3,5,7,12,11] => 00101010001 => 3
[4,6,8,1,9,2,11,3,5,12,7,10] => 00101010010 => 4
[4,6,8,1,10,2,11,3,12,5,7,9] => 00101010100 => 4
[4,6,9,1,10,2,11,12,3,5,7,8] => 00101001000 => 3
[4,7,8,1,9,10,2,3,5,6,12,11] => 00100100001 => 2
[4,7,8,1,9,11,2,3,5,12,6,10] => 00100100010 => 3
[4,7,8,1,10,11,2,3,12,5,6,9] => 00100100100 => 3
[4,7,9,1,10,11,2,12,3,5,6,8] => 00100101000 => 3
[4,8,9,1,10,11,12,2,3,5,6,7] => 00100010000 => 2
[5,6,7,8,1,2,3,4,10,9,12,11] => 00010000101 => 2
[5,6,7,8,1,2,3,4,11,12,9,10] => 00010000010 => 2
[5,6,7,9,1,2,3,10,4,8,12,11] => 00010001001 => 2
[5,6,7,9,1,2,3,11,4,12,8,10] => 00010001010 => 3
[5,6,7,10,1,2,3,11,12,4,8,9] => 00010000100 => 2
[5,6,8,9,1,2,10,3,4,7,12,11] => 00010010001 => 2
[5,6,8,9,1,2,11,3,4,12,7,10] => 00010010010 => 3
[5,6,8,10,1,2,11,3,12,4,7,9] => 00010010100 => 3
[5,6,9,10,1,2,11,12,3,4,7,8] => 00010001000 => 2
[5,7,8,9,1,10,2,3,4,6,12,11] => 00010100001 => 2
[5,7,8,9,1,11,2,3,4,12,6,10] => 00010100010 => 3
[5,7,8,10,1,11,2,3,12,4,6,9] => 00010100100 => 3
[5,7,9,10,1,11,2,12,3,4,6,8] => 00010101000 => 3
[5,8,9,10,1,11,12,2,3,4,6,7] => 00010010000 => 2
[6,7,8,9,10,1,2,3,4,5,12,11] => 00001000001 => 1
[6,7,8,9,11,1,2,3,4,12,5,10] => 00001000010 => 2
[6,7,8,10,11,1,2,3,12,4,5,9] => 00001000100 => 2
[6,7,9,10,11,1,2,12,3,4,5,8] => 00001001000 => 2
[6,8,9,10,11,1,12,2,3,4,5,7] => 00001010000 => 2
[3,5,7,6,8,2,1,4] => 0010110 => 2
[4,2,5,3,7,6,1,8] => 1010110 => 3
[6,2,4,3,7,5,1,8] => 1010110 => 3
[1,3,6,4,7,5,2,8] => 0010110 => 2
[8,2,5,3,6,4,1,7] => 1010110 => 3
[7,2,5,3,6,4,1,8] => 1010110 => 3
[6,2,5,3,7,4,1,8] => 1010110 => 3
[4,2,6,3,7,5,1,8] => 1010110 => 3
[5,2,7,3,6,4,1,8] => 1010110 => 3
[7,3,6,2,5,4,1,8] => 1010110 => 3
[6,3,8,2,5,4,1,7] => 1010110 => 3
[7,3,1,4,6,5,2,8] => 1100110 => 2
[8,3,7,2,5,4,1,6] => 1010110 => 3
[5,2,8,3,6,4,1,7] => 1010110 => 3
[3,2,8,4,6,5,1,7] => 1010110 => 3
[1,4,7,3,6,5,2,8] => 0010110 => 2
[8,2,5,4,1,6,3,7] => 1011010 => 3
[8,2,6,4,1,5,3,7] => 1011010 => 3
[1,4,8,3,7,5,2,6] => 0010110 => 2
[6,2,1,4,8,5,3,7] => 1100110 => 2
[5,2,1,4,8,6,3,7] => 1100110 => 2
[3,2,1,5,8,6,4,7] => 1100110 => 2
[4,2,8,3,7,5,1,6] => 1010110 => 3
[5,2,8,3,7,4,1,6] => 1010110 => 3
[8,3,7,2,6,4,1,5] => 1010110 => 3
[7,3,1,4,8,5,2,6] => 1100110 => 2
[1,3,7,4,8,5,2,6] => 0010110 => 2
[8,2,6,3,7,4,1,5] => 1010110 => 3
[7,2,6,3,8,4,1,5] => 1010110 => 3
[5,2,7,3,8,4,1,6] => 1010110 => 3
[3,2,7,4,8,5,1,6] => 1010110 => 3
[5,2,6,3,8,4,1,7] => 1010110 => 3
[6,2,5,3,8,4,1,7] => 1010110 => 3
[7,2,5,3,8,4,1,6] => 1010110 => 3
[8,2,5,3,7,4,1,6] => 1010110 => 3
[1,3,6,4,8,5,2,7] => 0010110 => 2
[1,3,5,4,8,6,2,7] => 0010110 => 2
[8,2,4,3,7,5,1,6] => 1010110 => 3
[7,2,4,3,8,5,1,6] => 1010110 => 3
[6,2,4,3,8,5,1,7] => 1010110 => 3
[5,2,4,3,8,6,1,7] => 1010110 => 3
[4,2,5,3,8,6,1,7] => 1010110 => 3
[4,2,5,3,1,7,6,8] => 1011010 => 3
[6,2,4,3,1,7,5,8] => 1011010 => 3
[7,2,4,3,1,6,5,8] => 1011010 => 3
[8,5,1,3,6,4,2,7] => 1100110 => 2
[8,4,1,3,6,5,2,7] => 1100110 => 2
[1,5,2,4,7,6,3,8] => 0100110 => 2
[7,2,5,3,1,6,4,8] => 1011010 => 3
[6,2,5,3,1,7,4,8] => 1011010 => 3
[4,2,6,3,1,7,5,8] => 1011010 => 3
[3,2,6,4,1,7,5,8] => 1011010 => 3
[3,2,7,4,1,6,5,8] => 1011010 => 3
[4,2,7,3,1,6,5,8] => 1011010 => 3
[5,2,7,3,1,6,4,8] => 1011010 => 3
[6,2,7,3,1,5,4,8] => 1011010 => 3
[7,2,6,3,1,5,4,8] => 1011010 => 3
[1,5,2,4,8,6,3,7] => 0100110 => 2
[8,4,1,3,7,5,2,6] => 1100110 => 2
[6,2,1,5,3,7,4,8] => 1101010 => 3
[3,2,1,6,4,7,5,8] => 1101010 => 3
[3,2,8,5,1,6,4,7] => 1011010 => 3
[6,2,8,4,1,5,3,7] => 1011010 => 3
[8,3,7,4,1,5,2,6] => 1011010 => 3
[7,1,3,2,5,6,4,8] => 1010010 => 3
[6,3,5,2,4,8,1,7] => 1010010 => 3
[1,5,2,8,7,4,3,6] => 0101110 => 2
[5,7,2,8,1,4,3,6] => 0101010 => 3
[4,8,3,1,5,2,7,6] => 0110101 => 2
[7,1,5,3,2,6,8,4] => 1011001 => 2
[3,1,5,7,8,6,2,4] => 1000110 => 2
[8,7,6,5,3,2,1,4,9] => 11111100 => 1
[8,7,6,4,3,2,1,5,9] => 11111100 => 1
[8,7,5,4,3,2,1,6,9] => 11111100 => 1
[8,7,6,5,4,1,2,3,9] => 11111000 => 1
[9,8,7,6,5,4,2,1,3,10] => 111111100 => 1
[8,7,6,5,2,3,1,4,9] => 11110100 => 2
[9,8,7,6,5,3,2,1,4,10] => 111111100 => 1
[8,7,6,3,4,2,1,5,9] => 11101100 => 2
[9,8,7,6,4,3,2,1,5,10] => 111111100 => 1
[8,7,4,5,3,2,1,6,9] => 11011100 => 2
[9,8,7,5,4,3,2,1,6,10] => 111111100 => 1
[8,5,6,4,3,2,1,7,9] => 10111100 => 2
[9,8,6,5,4,3,2,1,7,10] => 111111100 => 1
[6,7,5,4,3,2,1,8,9] => 01111100 => 1
[8,6,2,3,1,5,7,4] => 1101001 => 2
[2,5,1,7,4,8,6,3] => 0101011 => 2
[8,6,7,3,5,2,1,4] => 1010110 => 3
[1,4,2,7,3,6,8,5] => 0101001 => 2
[3,2,1,7,8,5,4,6] => 1100110 => 2
[7,3,4,2,1,5,8,6] => 1011001 => 2
[1,7,6,3,2,4,8,5] => 0111001 => 1
[2,1,6,4,7,8,5,3] => 1010011 => 2
[1,6,3,2,4,7,8,5] => 0110001 => 1
[1,2,3,7,5,8,4,6] => 0001010 => 2
[1,8,5,3,2,4,7,6] => 0111001 => 1
[4,7,8,1,5,6,2,3] => 0010010 => 2
[3,6,7,1,8,4,2,5] => 0010110 => 2
[1,3,7,6,2,4,5,8] => 0011000 => 1
[2,7,3,8,4,5,6,1] => 0101001 => 2
[7,1,4,3,8,5,6,2] => 1010101 => 3
[5,6,2,7,8,3,4,1] => 0100101 => 2
[7,4,1,8,5,6,2,3] => 1101010 => 3
[7,2,5,8,1,6,3,4] => 1001010 => 3
[6,4,8,1,5,7,2,3] => 1010010 => 3
[2,7,4,1,3,6,8,5] => 0110001 => 1
[5,2,1,8,4,6,7,3] => 1101001 => 2
[6,2,1,4,7,5,8,3] => 1100101 => 2
[6,8,7,9,5,4,3,2,1] => 01011111 => 1
[5,8,7,6,9,4,3,2,1] => 01101111 => 1
[4,8,7,6,5,9,3,2,1] => 01110111 => 1
[3,8,7,6,5,4,9,2,1] => 01111011 => 1
[2,8,7,6,5,4,3,9,1] => 01111101 => 1
[1,2,8,4,6,3,5,7] => 0010100 => 2
[2,6,1,5,4,7,3,8] => 0101010 => 3
[1,2,8,5,4,6,3,7] => 0011010 => 2
[1,3,6,8,4,5,7,2] => 0001001 => 1
[1,2,8,4,6,3,7,5] => 0010101 => 2
[4,6,3,5,7,8,1,2] => 0100010 => 2
[2,7,6,5,1,4,8,3] => 0111001 => 1
[2,7,4,8,1,3,6,5] => 0101001 => 2
[2,3,6,8,4,1,7,5] => 0001101 => 1
[1,2,6,8,4,7,5,3] => 0001011 => 1
[1,7,2,8,6,3,5,4] => 0101101 => 2
[2,3,8,5,4,7,1,6] => 0011010 => 2
[1,2,8,4,7,3,5,6] => 0010100 => 2
[2,6,1,4,8,3,7,5] => 0100101 => 2
[3,7,6,5,2,1,4,8] => 0111100 => 1
[2,5,6,1,4,8,7,3] => 0010011 => 1
[8,4,2,3,7,1,6,5] => 1100101 => 2
[5,2,4,8,7,3,1,6] => 1001110 => 2
[3,2,4,6,7,8,1,5] => 1000010 => 2
[5,2,6,8,1,3,7,4] => 1001001 => 2
[4,8,1,6,3,7,5,2] => 0101011 => 2
[7,1,5,2,6,4,3,8] => 1010110 => 3
[8,3,5,2,6,1,4,7] => 1010100 => 3
[1,8,5,6,2,7,4,3] => 0101011 => 2
[4,2,7,6,1,8,5,3] => 1011011 => 2
[7,2,4,8,6,3,5,1] => 1001101 => 2
[7,3,2,1,8,5,4,6] => 1110110 => 2
[7,3,2,1,6,4,8,5] => 1110101 => 2
[3,6,5,2,1,8,4,7] => 0111010 => 2
[6,7,2,4,3,5,8,1] => 0101001 => 2
[4,5,3,7,2,1,6,8] => 0101100 => 2
[4,3,8,2,1,5,7,6] => 1011001 => 2
[4,3,2,8,1,6,7,5] => 1101001 => 2
[4,5,8,3,2,7,1,6] => 0011010 => 2
[6,8,5,2,7,3,4,1] => 0110101 => 2
[5,4,7,8,2,3,6,1] => 1001001 => 2
[4,3,8,2,1,6,7,5] => 1011001 => 2
[1,9,2,4,5,6,7,8,3] => 01000001 => 1
[9,1,3,4,5,6,7,8,2] => 10000001 => 1
[3,5,7,4,6,2,8,1] => 0010101 => 2
[5,3,7,6,2,4,8,1] => 1011001 => 2
[4,6,7,2,5,3,8,1] => 0010101 => 2
[6,4,7,8,3,1,5,2] => 1001101 => 2
[8,4,7,3,1,5,6,2] => 1011001 => 2
[5,8,1,7,6,4,2,3] => 0101110 => 2
[5,6,7,1,8,3,4,2] => 0010101 => 2
[7,1,8,6,2,5,4,3] => 1011011 => 2
[8,5,1,7,6,4,2,3] => 1101110 => 2
[1,5,8,2,6,4,7,3] => 0010101 => 2
[1,5,7,4,6,8,3,2] => 0010011 => 1
[1,4,7,5,6,8,3,2] => 0010011 => 1
[5,6,7,4,8,1,3,2] => 0010101 => 2
[8,1,2,6,4,5,7,3] => 1001001 => 2
[4,8,1,7,2,5,6,3] => 0101001 => 2
[2,6,7,1,5,4,8,3] => 0010101 => 2
[3,2,7,6,5,8,1,4] => 1011010 => 3
[1,7,3,4,5,8,2,6] => 0100010 => 2
[7,1,8,4,5,6,3,2] => 1010011 => 2
[10,1,3,4,5,6,7,8,9,2] => 100000001 => 1
[1,2,3,4,5,6,7,8,11,9,10] => 0000000010 => 1
[1,8,3,4,5,6,9,2,7] => 01000010 => 2
[8,2,3,4,5,1,9,7,6] => 10001011 => 2
[1,2,7,4,5,8,3,6] => 0010010 => 2
[8,1,9,4,5,6,7,3,2] => 10100011 => 2
[7,9,3,4,5,6,1,8,2] => 01000101 => 2
[1,2,3,4,5,6,7,8,9,12,10,11] => 00000000010 => 1
[10,2,3,4,5,6,7,8,11,1,9] => 1000000010 => 2
[1,9,3,4,5,6,7,10,2,8] => 010000010 => 2
[9,2,3,4,5,6,1,10,8,7] => 100001011 => 2
[1,2,8,4,5,6,9,3,7] => 00100010 => 2
[7,8,3,4,5,2,9,1,6] => 01001010 => 3
[8,2,3,4,1,6,9,7,5] => 10010011 => 2
[6,7,3,2,5,8,1,4] => 0110010 => 2
[8,1,3,9,5,6,7,4,2] => 10010011 => 2
[6,1,8,4,5,3,7,2] => 1010101 => 3
[7,8,9,4,5,6,3,1,2] => 00100110 => 2
[9,1,10,4,5,6,7,8,3,2] => 101000011 => 2
[6,9,3,4,5,1,7,8,2] => 01001001 => 2
[8,10,3,4,5,6,7,1,9,2] => 010000101 => 2
[10,11,3,4,5,6,7,8,9,1,2] => 0100000010 => 2
[4,6,2,5,1,8,7,3] => 0101011 => 2
[5,1,4,6,2,8,7,3] => 1001011 => 2
[7,3,5,2,1,6,8,4] => 1011001 => 2
[8,5,1,2,6,3,7,4] => 1100101 => 2
[1,5,8,7,4,6,3,2] => 0011011 => 1
[5,7,2,1,3,6,8,4] => 0110001 => 1
[3,7,2,6,8,1,5,4] => 0100101 => 2
[7,4,8,6,5,1,3,2] => 1011101 => 2
[2,7,6,8,5,1,4,3] => 0101101 => 2
[1,6,4,5,7,3,8,2] => 0100101 => 2
[1,5,4,7,8,6,2,3] => 0100110 => 2
[7,3,1,6,8,2,5,4] => 1100101 => 2
[7,1,6,8,5,2,4,3] => 1001101 => 2
[3,5,8,7,6,4,1,2] => 0011110 => 1
[1,5,7,8,6,2,4,3] => 0001101 => 1
[3,6,2,1,4,7,8,5] => 0110001 => 1
[6,8,2,7,5,4,3,1] => 0101111 => 1
[5,8,1,7,6,4,3,2] => 0101111 => 1
[10,6,1,2,3,4,9,5,7,8] => 110000100 => 2
[10,7,1,2,3,4,9,5,6,8] => 110000100 => 2
[9,10,1,2,3,4,8,5,6,7] => 010000100 => 2
[10,1,5,2,3,4,6,7,8,9] => 101000000 => 2
[10,1,2,5,3,4,6,7,8,9] => 100100000 => 2
[5,1,2,3,10,4,6,7,8,9] => 100010000 => 2
[7,6,1,2,3,4,10,9,5,8] => 110000110 => 2
[9,7,1,2,3,4,8,5,10,6] => 110000101 => 2
[5,9,1,2,3,4,6,7,10,8] => 010000001 => 1
[10,8,4,9,1,2,3,5,6,7] => 110100000 => 2
[2,10,1,5,3,4,6,7,8,9] => 010100000 => 2
[3,1,5,2,10,4,6,7,8,9] => 101010000 => 3
[4,1,2,10,3,5,6,7,8,9] => 100100000 => 2
[4,1,5,6,7,8,9,2,3] => 10000010 => 2
[2,3,4,5,6,7,8,10,11,1,9] => 0000000010 => 1
[2,3,4,5,8,9,1,6,7] => 00000100 => 1
[2,4,5,6,7,8,9,10,11,1,3] => 0000000010 => 1
[3,4,5,6,7,8,9,10,11,1,2] => 0000000010 => 1
[8,6,3,2,1,5,4,7] => 1111010 => 2
[8,5,3,2,4,1,7,6] => 1110101 => 2
[7,5,2,4,3,6,8,1] => 1101001 => 2
[8,5,1,4,6,3,2,7] => 1100110 => 2
[8,5,1,6,3,4,2,7] => 1101010 => 3
[8,4,3,6,1,5,2,7] => 1101010 => 3
[8,4,3,5,2,1,7,6] => 1101101 => 2
[6,4,3,2,8,7,1,5] => 1110110 => 2
[8,5,1,4,3,7,2,6] => 1101010 => 3
[8,5,4,2,1,3,7,6] => 1111001 => 1
[4,7,3,6,1,8,5,2] => 0101011 => 2
[7,6,2,4,1,5,8,3] => 1101001 => 2
[8,1,6,3,7,4,2,5] => 1010110 => 3
[5,3,8,2,6,7,1,4] => 1010010 => 3
[8,2,5,1,7,6,3,4] => 1010110 => 3
[8,2,4,6,3,7,1,5] => 1001010 => 3
[7,2,6,4,3,5,8,1] => 1011001 => 2
[7,3,6,2,4,5,8,1] => 1010001 => 2
[8,3,7,2,1,4,6,5] => 1011001 => 2
[7,6,4,1,3,2,8,5] => 1110101 => 2
[7,3,8,2,1,5,6,4] => 1011001 => 2
[6,2,5,7,4,3,8,1] => 1001101 => 2
[6,2,5,4,8,7,1,3] => 1010110 => 3
[7,2,4,8,5,1,6,3] => 1001101 => 2
[4,2,7,6,8,5,1,3] => 1010110 => 3
[7,1,6,2,8,5,4,3] => 1010111 => 2
[7,1,6,3,8,5,2,4] => 1010110 => 3
[7,2,6,8,1,3,5,4] => 1001001 => 2
[7,2,8,5,1,3,6,4] => 1011001 => 2
[7,1,8,5,3,2,6,4] => 1011101 => 2
[7,1,8,2,5,6,4,3] => 1010011 => 2
[6,1,5,8,7,2,4,3] => 1001101 => 2
[6,1,5,7,4,8,3,2] => 1001011 => 2
[6,1,5,7,8,3,4,2] => 1000101 => 2
[4,6,7,3,1,8,5,2] => 0011011 => 1
[4,2,6,3,1,8,7,5] => 1011011 => 2
[6,1,4,2,5,8,7,3] => 1010011 => 2
[1,5,3,8,4,6,2,7] => 0101010 => 3
[7,2,3,5,8,4,1,6] => 1000110 => 2
[7,6,4,2,8,5,1,3] => 1110110 => 2
[1,7,6,4,8,5,3,2] => 0110111 => 1
[8,7,4,2,1,5,6,3] => 1111001 => 1
[8,2,3,5,1,4,6,7] => 1001000 => 2
[8,7,4,1,3,2,6,5] => 1110101 => 2
[7,1,4,8,3,6,2,5] => 1001010 => 3
[4,1,8,5,7,6,2,3] => 1010110 => 3
[3,7,5,8,4,2,1,6] => 0101110 => 2
[6,1,5,8,3,4,2,7] => 1001010 => 3
[6,7,5,1,3,2,4,8] => 0110100 => 2
[5,2,6,1,7,3,4,8] => 1010100 => 3
[4,2,6,8,3,7,1,5] => 1001010 => 3
[6,8,5,1,4,2,3,7] => 0110100 => 2
[7,8,4,5,1,3,6,2] => 0101001 => 2
[1,7,8,5,3,4,6,2] => 0011001 => 1
[1,5,8,3,6,4,7,2] => 0010101 => 2
[6,3,8,1,4,2,7,5] => 1010101 => 3
[4,8,1,5,6,3,7,2] => 0100101 => 2
[1,8,2,6,5,3,7,4] => 0101101 => 2
[3,8,1,7,2,6,5,4] => 0101011 => 2
[7,3,8,1,2,6,5,4] => 1010011 => 2
[8,1,4,2,3,5,7,6] => 1010001 => 2
[8,1,2,4,6,5,7,3] => 1000101 => 2
[5,1,8,3,7,4,6,2] => 1010101 => 3
[8,3,7,1,5,4,6,2] => 1010101 => 3
[8,4,7,1,5,3,6,2] => 1010101 => 3
[7,2,5,3,4,6,1,8] => 1010010 => 3
[7,6,4,2,5,3,1,8] => 1110110 => 2
[5,8,4,3,6,2,7,1] => 0110101 => 2
[1,7,2,6,3,4,8,5] => 0101001 => 2
[7,5,1,6,3,2,4,8] => 1101100 => 2
[7,1,2,6,3,4,5,8] => 1001000 => 2
[7,2,5,1,6,3,4,8] => 1010100 => 3
[7,3,1,4,6,2,5,8] => 1100100 => 2
[7,1,6,5,4,2,3,8] => 1011100 => 2
[5,8,4,3,1,7,2,6] => 0111010 => 2
[3,6,8,5,2,4,7,1] => 0011001 => 1
[5,7,8,4,3,2,6,1] => 0011101 => 1
[1,3,8,4,7,2,6,5] => 0010101 => 2
[3,2,1,4,5,8,6,7] => 1100010 => 2
[6,7,1,3,2,8,5,4] => 0101011 => 2
[1,5,3,2,6,8,4,7] => 0110010 => 2
[3,7,6,5,8,2,4,1] => 0110101 => 2
[5,7,4,2,8,6,1,3] => 0110110 => 2
[5,4,3,7,8,2,6,1] => 1100101 => 2
[3,8,5,7,6,2,4,1] => 0101101 => 2
[1,3,6,8,7,2,5,4] => 0001101 => 1
[5,8,7,1,4,2,3,6] => 0110100 => 2
[2,6,3,7,1,4,5,8] => 0101000 => 2
[6,5,1,2,4,7,8,3] => 1100001 => 1
[7,6,8,4,3,1,5,2] => 1011101 => 2
[1,7,6,5,3,2,4,8] => 0111100 => 1
[2,7,6,5,4,1,3,8] => 0111100 => 1
[6,2,3,5,8,4,1,7] => 1000110 => 2
[4,7,6,1,5,8,3,2] => 0110011 => 1
[9,8,7,6,5,4,2,3,1] => 11111101 => 1
[2,3,9,8,7,6,5,4,1] => 00111111 => 0
[9,1,3,2,4,5,6,7,8] => 10100000 => 2
[6,8,7,1,5,4,3,2] => 0110111 => 1
[8,7,4,6,5,1,3,2] => 1101101 => 2
[9,8,7,1,6,5,4,3,2] => 11101111 => 1
[9,8,7,6,1,5,4,3,2] => 11110111 => 1
[9,8,7,6,5,1,4,3,2] => 11111011 => 1
[9,10,1,8,7,6,5,4,3,2] => 010111111 => 1
[10,9,1,8,7,6,5,4,3,2] => 110111111 => 1
[10,9,8,1,7,6,5,4,3,2] => 111011111 => 1
[10,9,8,7,1,6,5,4,3,2] => 111101111 => 1
[10,9,8,7,6,1,5,4,3,2] => 111110111 => 1
[10,9,8,7,6,5,1,4,3,2] => 111111011 => 1
[10,9,8,7,6,5,4,1,3,2] => 111111101 => 1
[3,5,2,4,7,6,9,8,1] => 01001011 => 2
[2,4,3,6,5,8,7,1,9] => 01010110 => 3
[3,2,5,4,7,6,9,8,1,10] => 101010110 => 4
[2,4,3,6,5,8,7,10,9,1] => 010101011 => 3
[7,2,6,1,5,8,3,4] => 1010010 => 3
[4,7,3,8,6,2,5,1] => 0101101 => 2
[4,7,3,6,8,2,1,5] => 0100110 => 2
[5,4,7,3,8,2,1,6] => 1010110 => 3
[8,7,2,4,6,3,5,1] => 1100101 => 2
[4,3,5,7,2,6,1,8] => 1001010 => 3
[1,7,2,8,5,4,3,6] => 0101110 => 2
[5,4,8,3,6,2,1,7] => 1010110 => 3
[6,8,2,5,7,1,4,3] => 0100101 => 2
[3,8,6,2,7,5,1,4] => 0110110 => 2
[5,8,4,2,7,3,6,1] => 0110101 => 2
[8,2,7,3,4,5,1,6] => 1010010 => 3
[8,1,5,2,4,6,3,7] => 1010010 => 3
[8,6,1,3,4,5,7,2] => 1100001 => 1
[8,5,1,2,4,6,7,3] => 1100001 => 1
[2,6,8,7,3,4,5,1] => 0011001 => 1
[1,7,8,5,6,4,2,3] => 0010110 => 2
[8,3,1,2,4,6,7,5] => 1100001 => 1
[3,1,7,5,8,2,4,6] => 1010100 => 3
[8,1,3,2,4,6,5,7] => 1010010 => 3
[8,1,5,6,4,2,3,7] => 1001100 => 2
[8,1,6,5,4,3,2,7] => 1011110 => 2
[2,6,8,1,5,4,3,7] => 0010110 => 2
[5,2,1,7,6,3,8,4] => 1101101 => 2
[3,5,8,2,1,4,7,6] => 0011001 => 1
[4,2,8,5,3,7,6,1] => 1011011 => 2
[4,2,7,5,3,8,6,1] => 1011011 => 2
[6,4,5,1,8,3,2,7] => 1010110 => 3
[5,4,7,8,3,1,2,6] => 1001100 => 2
[4,5,8,1,3,7,2,6] => 0010010 => 2
[1,5,3,6,8,7,2,4] => 0100110 => 2
[7,6,2,8,1,4,3,5] => 1101010 => 3
[4,7,2,6,8,3,5,1] => 0100101 => 2
[6,3,2,8,7,4,5,1] => 1101101 => 2
[7,4,3,8,5,6,2,1] => 1101011 => 2
[3,1,5,8,7,6,2,4] => 1001110 => 2
[8,2,1,6,5,7,3,4] => 1101010 => 3
[3,1,8,6,5,7,2,4] => 1011010 => 3
[1,2,7,6,4,5,8,3] => 0011001 => 1
[7,2,6,5,1,8,3,4] => 1011010 => 3
[4,2,8,5,6,3,1,7] => 1010110 => 3
[4,7,3,2,5,1,6,8] => 0110100 => 2
[4,2,5,3,8,7,1,6] => 1010110 => 3
[7,2,5,3,8,4,6,1] => 1010101 => 3
[3,6,8,1,7,4,5,2] => 0010101 => 2
[8,7,3,2,5,4,6,1] => 1110101 => 2
[7,5,6,1,8,3,2,4] => 1010110 => 3
[4,5,6,2,7,3,1,8] => 0010110 => 2
[5,3,4,7,1,6,2,8] => 1001010 => 3
[3,5,1,4,6,8,2,7] => 0100010 => 2
[8,5,7,4,2,1,3,6] => 1011100 => 2
[2,3,7,4,1,8,6,5] => 0011011 => 1
[2,4,5,1,8,6,3,7] => 0010110 => 2
[2,4,1,6,7,5,3,8] => 0100110 => 2
[6,3,7,1,5,2,4,8] => 1010100 => 3
[4,1,3,7,8,2,6,5] => 1000101 => 2
[7,1,4,8,6,5,2,3] => 1001110 => 2
[8,3,4,2,1,7,5,6] => 1011010 => 3
[1,4,5,3,8,6,7,2] => 0010101 => 2
[4,6,2,7,5,8,1,3] => 0101010 => 3
[7,3,2,5,1,8,4,6] => 1101010 => 3
[7,8,1,4,2,3,5,6] => 0101000 => 2
[6,5,2,4,8,7,1,3] => 1100110 => 2
[8,5,2,4,1,3,7,6] => 1101001 => 2
[5,1,2,4,3,6,8,7] => 1001001 => 2
[5,2,1,4,3,7,6,8] => 1101010 => 3
[8,6,2,7,5,3,1,4] => 1101110 => 2
[6,2,1,5,8,3,4,7] => 1100100 => 2
[2,3,8,7,1,5,4,6] => 0011010 => 2
[4,3,8,1,5,2,6,7] => 1010100 => 3
[4,1,3,6,7,2,8,5] => 1000101 => 2
[7,1,4,5,8,2,6,3] => 1000101 => 2
[6,1,3,2,4,5,8,7] => 1010001 => 2
[3,5,1,2,4,7,6,9,8] => 01000101 => 2
[3,7,8,6,5,1,2,4] => 0011100 => 1
[8,4,5,7,2,6,3,1] => 1001011 => 2
[4,5,8,2,7,3,1,6] => 0010110 => 2
[6,5,8,2,7,3,1,4] => 1010110 => 3
[6,4,8,2,7,3,1,5] => 1010110 => 3
[7,8,1,3,6,4,2,5] => 0100110 => 2
[4,3,8,2,7,5,1,6] => 1010110 => 3
[4,5,7,8,3,2,1,6] => 0001110 => 1
[5,7,3,4,2,6,8,1] => 0101001 => 2
[5,7,4,2,3,6,8,1] => 0110001 => 1
[5,4,7,3,2,8,1,6] => 1011010 => 3
[6,8,3,2,4,5,1,7] => 0110010 => 2
[5,8,3,4,6,1,2,7] => 0100100 => 2
[6,4,3,8,5,1,2,7] => 1101100 => 2
[6,4,8,2,3,5,1,7] => 1010010 => 3
[5,4,6,8,2,3,1,7] => 1001010 => 3
[5,6,8,4,1,2,3,7] => 0011000 => 1
[6,4,8,5,1,2,3,7] => 1011000 => 2
[7,4,8,3,1,2,5,6] => 1011000 => 2
[5,7,8,2,3,1,4,6] => 0010100 => 2
[5,4,7,8,2,1,3,6] => 1001100 => 2
[5,8,6,3,1,2,4,7] => 0111000 => 1
[6,8,5,2,1,3,4,7] => 0111000 => 1
[5,6,1,3,2,4,8,7] => 0101001 => 2
[8,1,5,4,6,2,7,3] => 1010101 => 3
[4,3,8,1,2,5,7,6] => 1010001 => 2
[4,6,3,2,8,5,7,1] => 0110101 => 2
[5,3,7,2,1,8,6,4] => 1011011 => 2
[7,4,3,2,5,1,8,6] => 1110101 => 2
[5,4,8,3,7,2,1,6] => 1010110 => 3
[3,6,8,5,2,1,7,4] => 0011101 => 1
[6,1,5,4,7,2,8,3] => 1010101 => 3
[1,3,6,5,8,2,7,4] => 0010101 => 2
[5,4,8,3,2,7,1,6] => 1011010 => 3
[5,4,3,7,8,2,1,6] => 1100110 => 2
[3,4,5,6,7,8,2,9,1] => 00000101 => 1
[3,4,5,6,7,8,9,2,10,1] => 000000101 => 1
[1,4,5,6,7,8,3,9,2] => 00000101 => 1
[3,4,5,6,7,2,1,9,8] => 00001101 => 1
[2,1,5,6,7,8,9,4,3] => 10000011 => 1
[2,4,5,6,7,8,3,1,9] => 00000110 => 1
[2,4,5,6,7,8,9,10,3,1] => 000000011 => 0
[1,4,8,6,3,2,7,5] => 0011101 => 1
[4,1,8,6,2,5,7,3] => 1011001 => 2
[6,7,2,5,3,8,4,1] => 0101011 => 2
[6,3,4,8,1,2,7,5] => 1001001 => 2
[6,2,8,1,7,4,5,3] => 1010101 => 3
[2,6,3,1,5,8,7,4] => 0110011 => 1
[7,1,3,2,6,5,8,4] => 1010101 => 3
[8,7,6,4,5,3,2,9,1] => 11101101 => 2
[2,9,8,7,5,6,4,3,1] => 01110111 => 1
[1,3,5,8,4,7,2,6] => 0001010 => 2
[2,3,8,7,5,1,6,4] => 0011101 => 1
[4,1,3,5,6,2,8,7] => 1000101 => 2
[6,4,8,7,3,5,2,1] => 1011011 => 2
[8,2,3,5,6,1,4,7] => 1000100 => 2
[3,8,2,7,6,4,1,5] => 0101110 => 2
[4,3,8,6,2,7,1,5] => 1011010 => 3
[8,3,4,5,1,6,7,2] => 1001001 => 2
[7,8,1,5,6,3,2,4] => 0100110 => 2
[1,7,8,3,2,5,4,6] => 0011010 => 2
[7,8,1,3,2,5,6,4] => 0101001 => 2
[7,8,1,3,5,4,6,2] => 0100101 => 2
[7,8,1,3,5,2,4,6] => 0100100 => 2
[1,3,7,8,5,2,4,6] => 0001100 => 1
[1,7,8,3,5,2,6,4] => 0010101 => 2
[1,7,8,3,2,5,6,4] => 0011001 => 1
[3,7,8,5,4,6,1,2] => 0011010 => 2
[3,5,7,6,4,8,1,2] => 0011010 => 2
[1,3,7,8,5,4,6,2] => 0001101 => 1
[1,3,7,8,5,4,2,6] => 0001110 => 1
[1,3,7,8,2,5,4,6] => 0001010 => 2
[1,3,2,7,8,5,4,6] => 0100110 => 2
[1,5,7,6,8,3,2,4] => 0010110 => 2
[3,5,4,7,8,6,1,2] => 0100110 => 2
[3,5,7,6,8,4,1,2] => 0010110 => 2
[1,5,7,6,8,3,4,2] => 0010101 => 2
[3,5,7,4,6,8,1,2] => 0010010 => 2
[6,5,8,4,3,7,1,2] => 1011010 => 3
[6,7,3,1,5,2,4,8] => 0110100 => 2
[5,2,4,1,8,3,6,7] => 1010100 => 3
[2,1,7,4,3,8,5,6] => 1011010 => 3
[7,2,3,8,5,4,1,6] => 1001110 => 2
[4,1,5,7,6,3,8,2] => 1001101 => 2
[3,2,5,4,7,6,1,10,8,9] => 101011010 => 4
[3,2,5,4,9,8,6,7,1,10] => 101011010 => 4
[3,2,5,4,1,8,6,10,7,9] => 101101010 => 4
[3,2,5,4,1,10,9,6,7,8] => 101101100 => 3
[3,2,7,6,4,5,9,8,1,10] => 101100110 => 3
[3,2,7,6,4,5,1,10,8,9] => 101101010 => 4
[3,2,9,6,4,8,5,7,1,10] => 101101010 => 4
[3,2,1,6,4,8,5,10,7,9] => 110101010 => 4
[3,2,1,6,4,10,9,5,7,8] => 110101100 => 3
[3,2,9,8,7,4,5,6,1,10] => 101110010 => 3
[3,2,1,8,7,4,5,10,6,9] => 110110010 => 3
[3,2,1,10,7,4,9,5,6,8] => 110110100 => 3
[3,2,1,10,9,8,4,5,6,7] => 110111000 => 2
[5,4,2,3,7,6,9,8,1,10] => 110010110 => 3
[5,4,2,3,7,6,1,10,8,9] => 110011010 => 3
[5,4,2,3,9,8,6,7,1,10] => 110011010 => 3
[5,4,2,3,1,8,6,10,7,9] => 110101010 => 4
[5,4,2,3,1,10,9,6,7,8] => 110101100 => 3
[7,4,2,6,3,5,9,8,1,10] => 110100110 => 3
[7,4,2,6,3,5,1,10,8,9] => 110101010 => 4
[9,4,2,6,3,8,5,7,1,10] => 110101010 => 4
[1,4,2,6,3,8,5,10,7,9] => 010101010 => 4
[1,4,2,6,3,10,9,5,7,8] => 010101100 => 3
[9,4,2,8,7,3,5,6,1,10] => 110110010 => 3
[1,4,2,8,7,3,5,10,6,9] => 010110010 => 3
[1,4,2,10,7,3,9,5,6,8] => 010110100 => 3
[1,4,2,10,9,8,3,5,6,7] => 010111000 => 2
[7,6,5,2,3,4,9,8,1,10] => 111000110 => 2
[7,6,5,2,3,4,1,10,8,9] => 111001010 => 3
[9,6,5,2,3,8,4,7,1,10] => 111001010 => 3
[1,6,5,2,3,8,4,10,7,9] => 011001010 => 3
[1,6,5,2,3,10,9,4,7,8] => 011001100 => 2
[9,8,5,2,7,3,4,6,1,10] => 111010010 => 3
[1,8,5,2,7,3,4,10,6,9] => 011010010 => 3
[1,10,5,2,7,3,9,4,6,8] => 011010100 => 3
[1,10,5,2,9,8,3,4,6,7] => 011011000 => 2
[9,8,7,6,2,3,4,5,1,10] => 111100010 => 2
[1,8,7,6,2,3,4,10,5,9] => 011100010 => 2
[1,10,7,6,2,3,9,4,5,8] => 011100100 => 2
[1,10,9,6,2,8,3,4,5,7] => 011101000 => 2
[1,10,9,8,7,2,3,4,5,6] => 011110000 => 1
[1,4,2,6,3,8,5,10,7,12,9,11] => 01010101010 => 5
[1,4,8,2,3,6,5,7] => 0010010 => 2
[1,4,6,7,3,5,2,8] => 0001010 => 2
[1,4,8,2,6,7,5,3] => 0010011 => 1
[1,7,3,2,4,5,6,8] => 0110000 => 1
[1,7,3,2,4,5,8,6] => 0110001 => 1
[1,6,4,3,2,5,7,8] => 0111000 => 1
[4,2,6,5,3,1,7,8] => 1011100 => 2
[5,2,1,6,8,7,4,3] => 1100111 => 1
[1,3,5,8,6,2,7,4] => 0001101 => 1
[2,3,8,4,1,7,6,5] => 0011011 => 1
[3,7,8,5,4,2,6,1] => 0011101 => 1
[8,3,2,7,5,6,1,4] => 1101010 => 3
[1,3,8,5,7,4,2,6] => 0010110 => 2
[1,2,3,7,5,4,6,8] => 0001100 => 1
[1,4,2,8,6,3,5,7] => 0101100 => 2
[2,8,6,3,5,7,4,1] => 0110011 => 1
[6,1,8,2,5,3,4,7] => 1010100 => 3
[3,8,6,4,2,7,1,5] => 0111010 => 2
[1,5,4,2,3,6,8,7] => 0110001 => 1
[6,1,5,2,3,4,8,7] => 1010001 => 2
[6,5,2,1,7,3,4,8] => 1110100 => 2
[3,1,2,4,8,6,7,5] => 1000101 => 2
[3,1,2,5,8,7,4,6] => 1000110 => 2
[6,5,2,1,8,4,7,3] => 1110101 => 2
[3,7,5,2,8,1,4,6] => 0110100 => 2
[5,1,4,7,3,2,8,6] => 1001101 => 2
[4,1,5,8,6,2,3,7] => 1001100 => 2
[5,4,8,6,3,7,1,2] => 1011010 => 3
[6,5,2,3,1,8,7,4] => 1101011 => 2
[5,7,4,8,3,1,6,2] => 0101101 => 2
[3,1,4,7,5,2,8,6] => 1001101 => 2
[4,3,5,1,8,7,2,6] => 1010110 => 3
[2,5,3,6,1,8,4,7] => 0101010 => 3
[2,5,6,8,3,1,7,4] => 0001101 => 1
[7,1,4,5,3,6,2,8] => 1001010 => 3
[1,7,2,4,5,3,6,8] => 0100100 => 2
[1,7,4,5,3,2,6,8] => 0101100 => 2
[1,6,4,7,3,5,2,8] => 0101010 => 3
[3,5,6,4,8,2,1,7] => 0010110 => 2
[1,6,4,7,5,2,3,8] => 0101100 => 2
[1,5,2,6,7,4,3,8] => 0100110 => 2
[8,5,6,1,4,3,7,2] => 1010101 => 3
[2,5,4,7,8,3,1,6] => 0100110 => 2
[6,4,5,8,2,3,1,7] => 1001010 => 3
[8,6,1,3,2,5,7,4] => 1101001 => 2
[7,5,8,1,4,6,3,2] => 1010011 => 2
[4,2,6,7,8,1,5,3] => 1000101 => 2
[3,4,6,7,8,1,5,2] => 0000101 => 1
[4,7,3,8,5,1,6,2] => 0101101 => 2
[4,3,2,7,5,8,1,6] => 1101010 => 3
[4,8,5,3,2,6,1,7] => 0111010 => 2
[2,8,4,5,3,6,1,7] => 0101010 => 3
[8,1,5,3,2,4,7,6] => 1011001 => 2
[7,8,4,1,3,6,5,2] => 0110011 => 1
[8,6,1,3,2,7,4,5] => 1101010 => 3
[7,3,8,2,4,1,6,5] => 1010101 => 3
[6,2,3,7,8,1,5,4] => 1000101 => 2
[6,3,7,8,1,5,4,2] => 1001011 => 2
[2,6,3,7,8,1,5,4] => 0100101 => 2
[7,5,8,1,6,4,2,3] => 1010110 => 3
[8,1,4,3,7,5,6,2] => 1010101 => 3
[1,4,8,5,3,2,6,7] => 0011100 => 1
[8,2,7,6,4,1,5,3] => 1011101 => 2
[2,7,4,3,8,5,1,6] => 0110110 => 2
[6,8,2,7,3,1,5,4] => 0101101 => 2
[8,2,6,3,4,1,7,5] => 1010101 => 3
[6,1,2,8,5,3,7,4] => 1001101 => 2
[4,1,5,8,3,6,7,2] => 1001001 => 2
[7,5,2,8,1,6,3,4] => 1101010 => 3
[4,8,5,7,1,3,2,6] => 0101010 => 3
[3,4,7,2,1,5,8,6] => 0011001 => 1
[4,8,2,7,1,3,6,5] => 0101001 => 2
[5,2,1,8,7,4,6,3] => 1101101 => 2
[8,2,1,7,4,6,3,5] => 1101010 => 3
[4,2,5,8,3,6,7,1] => 1001001 => 2
[5,1,6,8,3,2,7,4] => 1001101 => 2
[4,1,5,6,8,2,7,3] => 1000101 => 2
[5,7,8,2,4,1,3,6] => 0010100 => 2
[4,5,2,8,7,3,1,6] => 0101110 => 2
[4,8,5,3,1,6,7,2] => 0111001 => 1
[6,2,3,1,7,8,5,4] => 1010011 => 2
[5,2,3,6,8,4,7,1] => 1000101 => 2
[6,2,1,7,8,4,3,5] => 1100110 => 2
[5,2,1,3,8,4,7,6] => 1100101 => 2
[5,2,7,8,4,1,6,3] => 1001101 => 2
[6,2,7,8,3,5,4,1] => 1001011 => 2
[5,2,8,6,4,1,7,3] => 1011101 => 2
[5,1,2,8,4,3,7,6] => 1001101 => 2
[6,7,8,3,2,5,4,1] => 0011011 => 1
[5,7,2,6,4,8,1,3] => 0101010 => 3
[6,2,3,4,7,8,5,1] => 1000011 => 1
[7,2,1,8,4,3,5,6] => 1101100 => 2
[6,2,1,3,7,5,8,4] => 1100101 => 2
[6,8,7,3,4,5,1,2] => 0110010 => 2
[6,2,3,7,8,1,4,5] => 1000100 => 2
[7,4,3,2,5,8,1,6] => 1110010 => 2
[7,2,4,3,5,8,1,6] => 1010010 => 3
[1,7,6,4,2,3,5,8] => 0111000 => 1
[1,3,2,5,8,6,4,7] => 0100110 => 2
[6,1,4,7,2,8,5,3] => 1001011 => 2
[1,7,5,8,4,2,3,6] => 0101100 => 2
[1,6,7,2,4,8,5,3] => 0010011 => 1
[5,7,2,4,3,6,8,1] => 0101001 => 2
[5,7,3,4,6,2,8,1] => 0100101 => 2
[2,8,3,6,1,7,4,5] => 0101010 => 3
[4,3,1,8,5,2,6,7] => 1101100 => 2
[1,8,4,5,6,2,7,3] => 0100101 => 2
[7,3,8,2,1,4,5,6] => 1011000 => 2
[8,2,5,3,1,7,4,6] => 1011010 => 3
[6,3,5,8,1,7,4,2] => 1001011 => 2
[3,5,4,8,6,1,7,2] => 0101101 => 2
[7,5,2,3,8,4,6,1] => 1100101 => 2
[2,7,5,1,4,8,3,6] => 0110010 => 2
[5,7,6,1,2,8,3,4] => 0110010 => 2
[7,4,6,5,1,8,2,3] => 1011010 => 3
[7,1,3,2,6,8,4,5] => 1010010 => 3
[4,3,5,2,8,1,6,7] => 1010100 => 3
[1,7,3,8,2,4,6,5] => 0101001 => 2
[2,7,4,8,5,3,1,6] => 0101110 => 2
[6,1,3,8,4,2,7,5] => 1001101 => 2
[5,4,1,8,6,2,7,3] => 1101101 => 2
[5,4,6,8,1,3,2,7] => 1001010 => 3
[3,6,1,5,8,4,7,2] => 0100101 => 2
[6,4,8,3,5,7,2,1] => 1010011 => 2
[3,5,8,2,4,1,7,6] => 0010101 => 2
[7,2,8,4,1,3,6,5] => 1011001 => 2
[5,8,1,2,4,3,6,7] => 0100100 => 2
[8,4,3,5,7,2,6,1] => 1100101 => 2
[4,1,5,2,3,8,7,6] => 1010011 => 2
[6,3,5,8,2,4,7,1] => 1001001 => 2
[2,8,7,1,4,6,3,5] => 0110010 => 2
[1,8,5,3,7,4,2,6] => 0110110 => 2
[7,5,6,2,8,4,3,1] => 1010111 => 2
[5,7,6,2,8,1,4,3] => 0110101 => 2
[6,3,8,1,2,5,4,7] => 1010010 => 3
[7,6,4,8,5,3,2,1] => 1101111 => 1
[7,6,5,3,8,4,2,1] => 1110111 => 1
[7,6,5,4,2,8,3,1] => 1111011 => 1
[8,6,9,7,5,4,3,2,1] => 10111111 => 1
[7,5,4,8,6,3,2,1] => 1101111 => 1
[8,7,5,9,6,4,3,2,1] => 11011111 => 1
[8,7,6,4,9,5,3,2,1] => 11101111 => 1
[7,6,5,3,2,8,4,1] => 1111011 => 1
[8,7,6,5,3,9,4,2,1] => 11110111 => 1
[8,7,6,5,4,2,9,3,1] => 11111011 => 1
[3,2,5,4,7,6,1,10,9,8] => 101011011 => 3
[3,2,5,4,9,8,7,6,1,10] => 101011110 => 3
[3,2,5,4,1,8,7,10,9,6] => 101101011 => 3
[3,2,5,4,1,10,9,8,7,6] => 101101111 => 2
[3,2,7,6,5,4,9,8,1,10] => 101110110 => 3
[3,2,7,6,5,4,1,10,9,8] => 101111011 => 2
[3,2,9,6,5,8,7,4,1,10] => 101101110 => 3
[3,2,1,6,5,8,7,10,9,4] => 110101011 => 3
[3,2,1,6,5,10,9,8,7,4] => 110101111 => 2
[3,2,1,8,7,6,5,10,9,4] => 110111011 => 2
[3,2,1,10,7,6,9,8,5,4] => 110110111 => 2
[5,4,3,2,7,6,9,8,1,10] => 111010110 => 3
[5,4,3,2,7,6,1,10,9,8] => 111011011 => 2
[5,4,3,2,9,8,7,6,1,10] => 111011110 => 2
[5,4,3,2,1,8,7,10,9,6] => 111101011 => 2
[7,4,3,6,5,2,9,8,1,10] => 110110110 => 3
[7,4,3,6,5,2,1,10,9,8] => 110111011 => 2
[9,4,3,6,5,8,7,2,1,10] => 110101110 => 3
[1,4,3,6,5,8,7,10,9,2] => 010101011 => 3
[1,4,3,6,5,10,9,8,7,2] => 010101111 => 2
[9,4,3,8,7,6,5,2,1,10] => 110111110 => 2
[1,4,3,8,7,6,5,10,9,2] => 010111011 => 2
[1,4,3,10,7,6,9,8,5,2] => 010110111 => 2
[1,4,3,10,9,8,7,6,5,2] => 010111111 => 1
[7,6,5,4,3,2,9,8,1,10] => 111110110 => 2
[9,6,5,4,3,8,7,2,1,10] => 111101110 => 2
[1,6,5,4,3,8,7,10,9,2] => 011101011 => 2
[1,6,5,4,3,10,9,8,7,2] => 011101111 => 1
[9,8,5,4,7,6,3,2,1,10] => 111011110 => 2
[1,8,5,4,7,6,3,10,9,2] => 011011011 => 2
[1,10,5,4,7,6,9,8,3,2] => 011010111 => 2
[1,10,5,4,9,8,7,6,3,2] => 011011111 => 1
[1,10,7,6,5,4,9,8,3,2] => 011110111 => 1
[1,10,9,6,5,8,7,4,3,2] => 011101111 => 1
[3,2,5,4,11,10,9,8,7,6,1,12] => 10101111110 => 3
[3,2,11,10,9,8,7,6,5,4,1,12] => 10111111110 => 2
[11,4,3,10,9,8,7,6,5,2,1,12] => 11011111110 => 2
[1,4,3,12,11,10,9,8,7,6,5,2] => 01011111111 => 1
[11,10,9,8,7,6,5,4,3,2,1,12] => 11111111110 => 1
[1,12,11,10,9,8,7,6,5,4,3,2] => 01111111111 => 0
[1,5,7,2,4,3,6,8] => 0010100 => 2
[1,6,5,3,2,4,7,8] => 0111000 => 1
[1,7,2,4,6,5,3,8] => 0100110 => 2
[1,4,7,2,6,5,3,8] => 0010110 => 2
[1,2,6,8,7,4,3,5] => 0001110 => 1
[1,2,7,4,3,5,8,6] => 0011001 => 1
[1,6,2,8,7,4,3,5] => 0101110 => 2
[1,7,4,2,3,5,8,6] => 0110001 => 1
[1,8,5,2,3,6,4,7] => 0110010 => 2
[1,7,4,8,5,2,3,6] => 0101100 => 2
[1,4,7,5,2,8,6,3] => 0011011 => 1
[1,6,3,7,4,2,8,5] => 0101101 => 2
[1,8,5,2,7,4,3,6] => 0110110 => 2
[1,4,8,7,5,3,2,6] => 0011110 => 1
[1,2,5,8,6,3,7,4] => 0001101 => 1
[1,2,4,7,5,8,6,3] => 0001011 => 1
[1,5,8,7,6,2,4,3] => 0011101 => 1
[1,3,5,8,7,6,2,4] => 0001110 => 1
[1,5,2,4,3,6,8,7] => 0101001 => 2
[1,6,8,7,5,3,2,4] => 0011110 => 1
[1,2,5,7,4,3,8,6] => 0001101 => 1
[1,5,3,2,6,8,7,4] => 0110011 => 1
[1,4,2,6,8,7,5,3] => 0100111 => 1
[1,5,8,6,3,2,7,4] => 0011101 => 1
[1,8,5,2,6,3,4,7] => 0110100 => 2
[1,7,4,6,3,2,8,5] => 0101101 => 2
[1,6,3,2,8,5,4,7] => 0110110 => 2
[1,3,8,6,4,2,5,7] => 0011100 => 1
[1,5,7,4,2,3,8,6] => 0011001 => 1
[6,3,7,5,4,2,8,1] => 1011101 => 2
[7,5,2,6,3,4,8,1] => 1101001 => 2
[3,8,2,7,5,4,1,6] => 0101110 => 2
[5,4,8,6,7,1,2,3] => 1010100 => 3
[2,7,3,6,8,5,4,1] => 0100111 => 1
[3,7,2,8,1,6,4,5] => 0101010 => 3
[8,5,2,4,6,7,3,1] => 1100011 => 1
[2,5,8,7,1,4,3,6] => 0011010 => 2
[3,4,6,5,8,2,7,1] => 0010101 => 2
[5,2,4,1,6,7,8,3] => 1010001 => 2
[4,2,7,1,6,8,3,5] => 1010010 => 3
[5,2,8,6,4,7,1,3] => 1011010 => 3
[6,1,3,4,7,2,8,5] => 1000101 => 2
[8,4,7,2,5,3,1,6] => 1010110 => 3
[8,3,4,5,2,1,7,6] => 1001101 => 2
[8,6,1,4,7,3,5,2] => 1100101 => 2
[5,3,6,7,2,8,4,1] => 1001011 => 2
[5,3,6,7,2,4,8,1] => 1001001 => 2
[8,6,4,2,7,1,5,3] => 1110101 => 2
[8,6,1,4,7,5,2,3] => 1100110 => 2
[1,5,8,2,6,7,4,3] => 0010011 => 1
[7,1,3,6,5,2,8,4] => 1001101 => 2
[8,2,1,4,5,7,6,3] => 1100011 => 1
[1,4,7,5,2,3,8,6] => 0011001 => 1
[6,1,7,5,4,2,8,3] => 1011101 => 2
[2,7,3,6,5,1,8,4] => 0101101 => 2
[8,6,5,1,3,7,4,2] => 1110011 => 1
[5,7,6,2,4,8,1,3] => 0110010 => 2
[3,7,5,6,4,8,1,2] => 0101010 => 3
[7,6,8,1,3,5,4,2] => 1010011 => 2
[2,8,4,6,1,7,5,3] => 0101011 => 2
[2,8,6,4,7,3,5,1] => 0110101 => 2
[8,7,1,4,6,5,3,2] => 1100111 => 1
[3,5,8,6,7,1,4,2] => 0010101 => 2
[1,2,4,6,8,5,3,7] => 0000110 => 1
[3,1,5,8,6,2,4,7] => 1001100 => 2
[2,5,4,6,8,1,3,7] => 0100100 => 2
[6,5,2,4,7,8,1,3] => 1100010 => 2
[7,2,5,8,6,4,1,3] => 1001110 => 2
[5,2,8,3,4,7,6,1] => 1010011 => 2
[2,4,3,8,7,1,6,5] => 0101101 => 2
[1,5,8,7,4,2,6,3] => 0011101 => 1
[6,8,7,5,4,3,1,2] => 0111110 => 1
[5,6,4,7,3,8,2,9,1] => 01010101 => 3
[5,6,4,7,3,9,2,8,1] => 01010101 => 3
[5,3,4,8,6,2,7,1] => 1001101 => 2
[5,4,6,3,7,2,8,1,9] => 10101010 => 4
[6,5,7,4,8,3,9,2,10,1] => 101010101 => 4
[6,5,7,4,8,3,10,2,9,1] => 101010101 => 4
[3,4,5,8,6,2,7,1] => 0001101 => 1
[5,6,4,7,3,8,2,9,1,10] => 010101010 => 4
[5,4,2,3,6,1,8,7] => 1100101 => 2
[5,1,7,4,3,6,8,2] => 1011001 => 2
[4,3,7,6,8,2,1,5] => 1010110 => 3
[8,1,4,7,2,3,5,6] => 1001000 => 2
[6,1,8,5,2,7,3,4] => 1011010 => 3
[8,7,2,6,3,1,4,5] => 1101100 => 2
[8,7,1,6,4,5,2,3] => 1101010 => 3
[5,4,1,3,7,2,8,6] => 1100101 => 2
[8,3,4,7,6,2,1,5] => 1001110 => 2
[3,1,8,7,5,2,4,6] => 1011100 => 2
[6,5,8,7,2,4,3,1] => 1011011 => 2
[4,3,6,5,8,2,1,7] => 1010110 => 3
[7,6,3,2,8,5,4,1] => 1110111 => 1
[3,2,6,8,7,1,4,5] => 1001100 => 2
[4,3,7,1,8,5,2,6] => 1010110 => 3
[3,2,8,5,6,7,1,4] => 1010010 => 3
[8,3,2,1,4,7,5,6] => 1110010 => 2
[4,7,3,1,8,5,2,6] => 0110110 => 2
[3,7,8,2,5,6,1,4] => 0010010 => 2
[7,5,1,4,2,3,6,8] => 1101000 => 2
[7,8,6,1,2,4,5,3] => 0110001 => 1
[1,5,3,4,7,8,6,2] => 0100011 => 1
[5,1,2,4,7,8,6,3] => 1000011 => 1
[5,1,7,8,6,2,3,4] => 1001100 => 2
[8,5,1,6,7,2,3,4] => 1100100 => 2
[7,5,1,2,4,6,8,3] => 1100001 => 1
[6,1,5,2,7,3,4,8] => 1010100 => 3
[7,1,2,6,4,5,8,3] => 1001001 => 2
[1,7,3,6,4,5,8,2] => 0101001 => 2
[1,8,3,6,4,5,7,2] => 0101001 => 2
[8,1,6,2,7,3,4,5] => 1010100 => 3
[7,1,6,2,5,3,4,8] => 1010100 => 3
[8,1,6,2,5,3,4,7] => 1010100 => 3
[8,1,7,2,5,3,4,6] => 1010100 => 3
[8,1,2,7,4,5,6,3] => 1001001 => 2
[1,8,3,7,4,5,6,2] => 0101001 => 2
[8,1,6,7,5,2,3,4] => 1001100 => 2
[7,3,1,2,6,4,5,8] => 1100100 => 2
[3,1,2,8,5,6,7,4] => 1001001 => 2
[6,3,1,2,7,4,5,8] => 1100100 => 2
[6,1,7,4,2,3,5,8] => 1011000 => 2
[1,7,3,4,6,8,5,2] => 0100011 => 1
[1,7,3,8,4,5,6,2] => 0101001 => 2
[7,1,8,2,5,3,4,6] => 1010100 => 3
[6,1,7,2,5,3,4,8] => 1010100 => 3
[5,1,7,2,6,3,4,8] => 1010100 => 3
[5,1,8,2,6,3,4,7] => 1010100 => 3
[1,6,3,7,4,5,8,2] => 0101001 => 2
[2,4,7,3,5,1,6,8] => 0010100 => 2
[2,4,8,6,3,5,1,7] => 0011010 => 2
[2,3,7,5,4,1,6,8] => 0011100 => 1
[3,4,6,2,1,5,8,7] => 0011001 => 1
[3,4,7,2,1,6,5,8] => 0011010 => 2
[2,6,8,3,5,1,4,7] => 0010100 => 2
[2,3,6,1,5,8,4,7] => 0010010 => 2
[2,3,7,1,6,5,8,4] => 0010101 => 2
[2,4,7,1,3,6,8,5] => 0010001 => 1
[5,4,7,8,1,3,2,6] => 1001010 => 3
[2,5,7,1,4,6,3,8] => 0010010 => 2
[2,4,7,1,6,3,5,8] => 0010100 => 2
[2,3,7,1,6,5,4,8] => 0010110 => 2
[2,5,7,1,4,3,6,8] => 0010100 => 2
[2,5,7,3,1,4,6,8] => 0011000 => 1
[3,4,7,2,1,6,8,5] => 0011001 => 1
[4,6,3,7,1,5,2,8] => 0101010 => 3
[5,7,3,2,8,1,4,6] => 0110100 => 2
[2,6,5,7,1,8,4,3] => 0101011 => 2
[3,6,8,5,4,1,7,2] => 0011101 => 1
[5,4,7,8,1,3,6,2] => 1001001 => 2
[2,5,7,1,4,6,8,3] => 0010001 => 1
[2,4,7,1,6,3,8,5] => 0010101 => 2
[2,4,7,1,6,8,3,5] => 0010010 => 2
[2,4,8,3,1,7,6,5] => 0011011 => 1
[1,8,3,4,5,6,7,9,2] => 01000001 => 1
[7,2,3,4,5,6,1,9,8] => 10000101 => 2
[2,1,9,4,5,6,7,8,3] => 10100001 => 2
[2,8,3,4,5,6,7,1,9] => 01000010 => 2
[8,6,5,1,2,4,3,7] => 1110010 => 2
[7,6,1,4,2,3,5,8] => 1101000 => 2
[6,5,1,4,8,3,2,7] => 1100110 => 2
[8,7,1,4,3,2,5,6] => 1101100 => 2
[8,7,5,1,4,2,3,6] => 1110100 => 2
[8,4,1,2,5,3,6,7] => 1100100 => 2
[8,6,1,4,2,5,3,7] => 1101010 => 3
[8,7,1,4,3,2,6,5] => 1101101 => 2
[8,7,6,3,1,5,4,2] => 1111011 => 1
[2,8,3,7,4,5,6,1] => 0101001 => 2
[8,7,5,2,4,3,6,1] => 1110101 => 2
[2,9,1,8,7,6,5,4,3] => 01011111 => 1
[2,9,8,1,7,6,5,4,3] => 01101111 => 1
[4,2,5,7,3,1,6,8] => 1001100 => 2
[8,2,4,5,3,1,6,7] => 1001100 => 2
[8,4,5,1,3,2,6,7] => 1010100 => 3
[4,3,7,5,2,1,6,8] => 1011100 => 2
[1,6,7,4,3,2,5,8] => 0011100 => 1
[1,4,5,7,3,2,6,8] => 0001100 => 1
[3,5,1,4,7,2,6,8] => 0100100 => 2
[2,5,1,4,7,8,3,6] => 0100010 => 2
[4,3,7,1,5,2,6,8] => 1010100 => 3
[3,5,1,6,4,2,7,8] => 0101100 => 2
[6,4,3,1,7,2,5,8] => 1110100 => 2
[6,2,7,4,3,1,5,8] => 1011100 => 2
[2,6,4,1,7,3,5,8] => 0110100 => 2
[6,3,2,7,4,5,1,8] => 1101010 => 3
[7,2,4,1,3,6,8,5] => 1010001 => 2
[6,3,2,5,7,1,4,8] => 1100100 => 2
[3,2,6,5,7,1,4,8] => 1010100 => 3
[1,7,3,2,5,6,4,8] => 0110010 => 2
[2,1,7,3,5,6,8,4] => 1010001 => 2
[2,1,6,3,5,7,8,4] => 1010001 => 2
[1,6,3,2,5,7,4,8] => 0110010 => 2
[1,4,6,5,2,7,3,8] => 0011010 => 2
[5,6,2,1,4,3,7,8] => 0110100 => 2
[2,5,1,6,4,3,7,8] => 0101100 => 2
[2,5,4,1,6,3,7,8] => 0110100 => 2
[4,6,1,5,2,7,3,8] => 0101010 => 3
[1,6,5,3,7,2,4,8] => 0110100 => 2
[1,2,5,4,7,3,6,8] => 0010100 => 2
[1,2,5,3,4,8,7,6] => 0010011 => 1
[5,2,7,6,1,8,4,3] => 1011011 => 2
[5,8,2,6,1,7,4,3] => 0101011 => 2
[1,7,8,2,4,6,5,3] => 0010011 => 1
[1,5,8,3,6,2,7,4] => 0010101 => 2
[6,8,7,1,4,5,2,3] => 0110010 => 2
[1,2,6,4,7,3,8,5] => 0010101 => 2
[1,2,7,8,3,5,6,4] => 0001001 => 1
[4,8,7,6,2,1,5,3] => 0111101 => 1
[2,7,4,5,8,1,6,3] => 0100101 => 2
[2,6,1,8,5,4,3,7] => 0101110 => 2
[5,8,6,2,3,4,1,7] => 0110010 => 2
[4,5,8,6,2,1,3,7] => 0011100 => 1
[6,4,7,5,8,2,1,3] => 1010110 => 3
[6,3,7,4,2,5,8,1] => 1011001 => 2
[6,2,1,5,8,4,3,7] => 1100110 => 2
[7,5,6,2,4,3,8,1] => 1010101 => 3
[4,6,2,5,7,3,8,1] => 0100101 => 2
[4,2,8,5,3,6,1,7] => 1011010 => 3
[8,1,7,4,5,6,2,3] => 1010010 => 3
[2,1,7,8,4,5,6,3] => 1001001 => 2
[8,2,1,4,3,7,6,5] => 1101011 => 2
[7,6,5,3,1,2,8,4] => 1111001 => 1
[5,4,1,6,2,8,3,7] => 1101010 => 3
[6,2,3,1,7,8,4,5] => 1010010 => 3
[3,1,8,6,7,2,4,5] => 1010100 => 3
[4,2,5,1,8,6,7,3] => 1010101 => 3
[4,5,3,7,1,6,8,2] => 0101001 => 2
[4,2,8,5,3,6,7,1] => 1011001 => 2
[2,8,6,3,5,4,7,1] => 0110101 => 2
[3,5,2,8,6,4,7,1] => 0101101 => 2
[7,3,5,1,6,4,8,2] => 1010101 => 3
[5,1,4,7,2,6,8,3] => 1001001 => 2
[1,8,2,5,6,4,7,3] => 0100101 => 2
[2,7,1,4,8,5,6,3] => 0100101 => 2
[2,8,4,6,1,3,7,5] => 0101001 => 2
[8,4,6,2,5,3,7,1] => 1010101 => 3
[8,3,7,6,2,1,5,4] => 1011101 => 2
[8,5,2,7,6,1,4,3] => 1101101 => 2
[5,8,2,7,6,1,4,3] => 0101101 => 2
[8,3,7,6,2,5,1,4] => 1011010 => 3
[7,3,8,6,5,1,4,2] => 1011101 => 2
[9,8,7,6,1,2,3,4,5,10] => 111100000 => 1
[2,6,3,7,5,4,8,1] => 0101101 => 2
[5,4,7,1,3,8,6,2] => 1010011 => 2
[2,8,5,1,4,7,3,6] => 0110010 => 2
[8,1,4,2,5,7,3,6] => 1010010 => 3
[7,2,6,5,8,4,3,1] => 1010111 => 2
[3,4,8,5,6,2,7,1] => 0010101 => 2
[5,8,2,3,4,6,1,7] => 0100010 => 2
[6,1,3,4,2,5,7,8] => 1001000 => 2
[1,5,6,3,2,4,7,8] => 0011000 => 1
[6,3,5,2,4,1,7,8] => 1010100 => 3
[7,8,3,5,2,4,6,1] => 0101001 => 2
[2,4,5,7,3,6,1,8] => 0001010 => 2
[2,5,3,1,6,4,7,8] => 0110100 => 2
[6,5,1,3,4,2,7,8] => 1100100 => 2
[5,7,4,3,2,6,1,8] => 0111010 => 2
[6,8,7,4,3,5,1,2] => 0111010 => 2
[2,6,7,8,4,3,5,1] => 0001101 => 1
[1,7,8,4,5,3,6,2] => 0010101 => 2
[7,1,8,5,3,4,6,2] => 1011001 => 2
[5,7,4,2,1,6,3,8] => 0111010 => 2
[5,1,4,7,3,6,2,8] => 1001010 => 3
[7,4,8,6,3,5,2,1] => 1011011 => 2
[4,7,6,3,5,2,1,8] => 0110110 => 2
[1,6,5,8,7,4,2,3] => 0101110 => 2
[6,1,3,8,7,5,2,4] => 1001110 => 2
[7,6,2,1,8,3,5,4] => 1110101 => 2
[7,1,3,6,8,2,5,4] => 1000101 => 2
[1,7,5,6,8,2,4,3] => 0100101 => 2
[3,6,7,5,8,2,4,1] => 0010101 => 2
[1,7,4,5,2,8,6,3] => 0101011 => 2
[7,5,4,2,1,8,6,3] => 1111011 => 1
[3,6,7,4,2,8,5,1] => 0011011 => 1
[4,6,3,2,7,8,5,1] => 0110011 => 1
[7,6,1,3,4,2,5,8] => 1100100 => 2
[7,8,2,6,4,5,3,1] => 0101011 => 2
[7,2,5,4,6,1,3,8] => 1010100 => 3
[7,1,2,4,5,6,3,8] => 1000010 => 2
[7,3,2,1,5,6,4,8] => 1110010 => 2
[3,6,2,1,7,5,4,8] => 0110110 => 2
[2,6,7,3,1,5,4,8] => 0011010 => 2
[2,1,6,4,7,5,3,8] => 1010110 => 3
[7,2,8,5,6,4,3,1] => 1010111 => 2
[7,6,8,5,4,1,3,2] => 1011101 => 2
[7,1,8,4,6,5,3,2] => 1010111 => 2
[7,8,6,3,1,5,4,2] => 0111011 => 1
[7,6,1,4,5,3,2,8] => 1100110 => 2
[7,1,5,6,4,3,2,8] => 1001110 => 2
[4,1,3,8,6,2,7,5] => 1001101 => 2
[5,1,2,8,4,6,7,3] => 1001001 => 2
[5,6,3,2,8,1,7,4] => 0110101 => 2
[8,2,6,3,1,5,7,4] => 1011001 => 2
[8,2,5,6,7,4,3,1] => 1000111 => 1
[8,2,5,3,4,7,6,1] => 1010011 => 2
[7,5,3,2,4,1,8,6] => 1110101 => 2
[7,1,2,3,6,8,4,5] => 1000010 => 2
[6,7,2,8,3,4,5,1] => 0101001 => 2
[3,1,8,4,6,5,7,2] => 1010101 => 3
[6,1,2,3,8,4,7,5] => 1000101 => 2
[8,1,6,7,4,2,3,5] => 1001100 => 2
[8,1,6,4,5,2,3,7] => 1010100 => 3
[8,6,4,7,2,3,5,1] => 1101001 => 2
[8,6,4,1,2,3,7,5] => 1110001 => 1
[8,6,1,4,2,5,7,3] => 1101001 => 2
[8,6,7,4,2,5,1,3] => 1011010 => 3
[8,6,4,2,5,3,7,1] => 1110101 => 2
[8,6,4,2,5,3,1,7] => 1110110 => 2
[8,6,4,2,7,3,1,5] => 1110110 => 2
[8,6,4,1,5,7,2,3] => 1110010 => 2
[8,6,4,2,1,5,7,3] => 1111001 => 1
[8,6,4,2,1,7,3,5] => 1111010 => 2
[8,6,1,4,7,2,5,3] => 1100101 => 2
[8,6,4,1,5,2,3,7] => 1110100 => 2
[8,6,7,1,4,5,2,3] => 1010010 => 3
[8,6,4,5,2,7,3,1] => 1101011 => 2
[8,6,7,4,2,1,5,3] => 1011101 => 2
[8,6,4,7,2,1,5,3] => 1101101 => 2
[8,6,4,2,5,7,3,1] => 1110011 => 1
[8,6,4,2,5,1,7,3] => 1110101 => 2
[8,6,4,2,5,7,1,3] => 1110010 => 2
[3,4,7,5,8,2,6,1] => 0010101 => 2
[8,7,1,4,6,5,2,3] => 1100110 => 2
[8,3,7,6,4,5,1,2] => 1011010 => 3
[5,3,8,6,4,1,7,2] => 1011101 => 2
[8,10,1,2,3,4,5,9,6,7] => 010000010 => 2
[10,8,1,9,2,3,4,5,6,7] => 110100000 => 2
[8,7,1,2,3,4,5,9,10,6] => 110000001 => 1
[6,1,2,3,4,5,7,8,9] => 10000000 => 1
[5,1,2,3,4,6,7,8,9] => 10000000 => 1
[4,1,2,3,5,6,7,8,9] => 10000000 => 1
[2,10,1,5,6,7,8,9,3,4] => 010000010 => 2
[2,3,4,5,6,7,8,9,10,11,12,1] => 00000000001 => 0
[7,4,5,1,2,8,6,3] => 1010011 => 2
[6,4,7,1,8,5,2,3] => 1010110 => 3
[5,7,4,2,3,8,6,1] => 0110011 => 1
[3,8,2,5,1,7,4,6] => 0101010 => 3
[5,8,4,2,3,7,1,6] => 0110010 => 2
[4,8,5,2,1,7,3,6] => 0111010 => 2
[8,5,7,6,1,2,4,3] => 1011001 => 2
[6,8,7,5,2,4,1,3] => 0111010 => 2
[5,7,6,8,4,1,3,2] => 0101101 => 2
[7,3,1,6,8,5,4,2] => 1100111 => 1
[5,3,1,7,4,8,6,2] => 1101011 => 2
[7,3,1,8,6,4,5,2] => 1101101 => 2
[8,6,4,1,7,3,2,5] => 1110110 => 2
[4,6,8,3,7,1,2,5] => 0010100 => 2
[3,5,2,8,4,7,1,6] => 0101010 => 3
[6,4,8,3,7,2,1,5] => 1010110 => 3
[3,6,2,8,7,4,1,5] => 0101110 => 2
[6,8,4,2,7,3,1,5] => 0110110 => 2
[9,8,2,3,4,5,6,7,1] => 11000001 => 1
[8,9,2,3,4,5,6,7,1] => 01000001 => 1
[9,8,7,6,4,5,3,2,1] => 11110111 => 1
[5,6,7,9,8,4,3,2,1] => 00011111 => 0
[5,6,7,8,9,1,4,3,2] => 00001011 => 1
[10,9,2,3,4,5,6,7,8,1] => 110000001 => 1
[3,4,7,8,5,1,2,6] => 0001100 => 1
[4,7,3,2,5,6,8,1] => 0110001 => 1
[3,2,7,6,4,5,8,1] => 1011001 => 2
[1,7,3,6,8,4,2,5] => 0100110 => 2
[2,3,6,5,1,8,7,4] => 0011011 => 1
[8,3,1,2,6,4,7,5] => 1100101 => 2
[1,7,8,2,4,3,5,6] => 0010100 => 2
[3,6,4,7,1,2,8,5] => 0101001 => 2
[5,7,4,8,1,3,2,6] => 0101010 => 3
[4,3,7,8,1,5,2,6] => 1001010 => 3
[8,5,4,2,6,1,7,3] => 1110101 => 2
[3,2,6,8,7,4,1,5] => 1001110 => 2
[2,3,7,5,1,8,6,4] => 0011011 => 1
[6,3,1,2,8,7,4,5] => 1100110 => 2
[5,2,1,3,8,7,6,4] => 1100111 => 1
[7,2,1,5,3,8,4,6] => 1101010 => 3
[1,5,8,2,4,3,6,7] => 0010100 => 2
[4,3,6,8,1,5,2,7] => 1001010 => 3
[5,4,6,8,3,1,7,2] => 1001101 => 2
[3,6,8,4,5,1,7,2] => 0010101 => 2
[8,6,1,7,2,4,3,5] => 1101010 => 3
[7,3,1,2,8,6,4,5] => 1100110 => 2
[2,3,7,6,1,8,5,4] => 0011011 => 1
[3,2,7,8,6,4,1,5] => 1001110 => 2
[6,2,8,3,1,4,7,5] => 1011001 => 2
[3,1,2,8,7,4,5,6] => 1001100 => 2
[2,1,3,8,7,4,6,5] => 1001101 => 2
[2,1,3,8,7,4,5,6] => 1001100 => 2
[1,6,8,3,2,4,7,5] => 0011001 => 1
[8,5,1,7,2,4,3,6] => 1101010 => 3
[8,4,1,7,3,2,5,6] => 1101100 => 2
[8,3,1,6,2,7,5,4] => 1101011 => 2
[1,3,2,8,7,6,4,5] => 0101110 => 2
[2,1,3,8,7,6,4,5] => 1001110 => 2
[2,4,3,1,6,5,8,7,10,9] => 011010101 => 3
[1,6,3,7,2,5,4,8] => 0101010 => 3
[1,7,2,4,6,3,5,8] => 0100100 => 2
[5,7,2,8,4,1,3,6] => 0101100 => 2
[5,6,2,8,4,1,3,7] => 0101100 => 2
[2,4,8,3,1,6,7,5] => 0011001 => 1
[3,5,8,4,2,1,6,7] => 0011100 => 1
[2,5,8,3,1,4,6,7] => 0011000 => 1
[2,8,1,3,5,7,4,6] => 0100010 => 2
[5,4,7,8,3,2,6,1] => 1001101 => 2
[3,6,8,2,5,1,4,7] => 0010100 => 2
[3,6,8,7,2,5,4,1] => 0011011 => 1
[3,4,6,5,8,2,1,7] => 0010110 => 2
[2,4,6,7,8,3,5,1] => 0000101 => 1
[1,4,2,5,7,6,3,8] => 0100110 => 2
[1,4,2,6,8,5,3,7] => 0100110 => 2
[1,2,6,8,3,5,4,7] => 0001010 => 2
[1,6,8,3,5,4,2,7] => 0010110 => 2
[1,5,3,2,4,6,8,7] => 0110001 => 1
[1,5,8,7,6,3,2,4] => 0011110 => 1
[1,5,7,6,3,2,4,8] => 0011100 => 1
[1,6,3,2,4,7,5,8] => 0110010 => 2
[1,6,3,2,4,8,7,5] => 0110011 => 1
[1,2,7,6,4,3,5,8] => 0011100 => 1
[1,8,7,5,2,4,6,3] => 0111001 => 1
[1,7,5,2,4,6,3,8] => 0110010 => 2
[1,7,4,2,5,3,6,8] => 0110100 => 2
[1,8,4,7,5,2,6,3] => 0101101 => 2
[1,7,5,2,3,6,4,8] => 0110010 => 2
[1,7,5,2,6,3,4,8] => 0110100 => 2
[1,6,3,7,4,2,5,8] => 0101100 => 2
[1,6,3,2,7,5,4,8] => 0110110 => 2
[1,4,7,5,2,6,3,8] => 0011010 => 2
[1,3,6,4,8,7,5,2] => 0010111 => 1
[1,3,7,6,4,2,5,8] => 0011100 => 1
[1,3,2,4,8,5,7,6] => 0100101 => 2
[1,3,8,7,5,2,4,6] => 0011100 => 1
[1,4,6,3,2,7,5,8] => 0011010 => 2
[1,4,6,3,2,8,7,5] => 0011011 => 1
[1,5,7,6,4,2,3,8] => 0011100 => 1
[1,6,3,2,8,4,7,5] => 0110101 => 2
[1,6,3,5,2,7,4,8] => 0101010 => 3
[1,6,3,5,2,8,7,4] => 0101011 => 2
[1,8,3,7,5,2,4,6] => 0101100 => 2
[7,8,4,9,5,2,10,6,3,1] => 010110111 => 2
[6,4,7,1,5,3,8,2] => 1010101 => 3
[5,3,8,2,6,4,7,1] => 1010101 => 3
[4,3,8,2,6,5,7,1] => 1010101 => 3
[2,6,1,8,3,4,7,5] => 0101001 => 2
[5,7,1,4,8,2,3,6] => 0100100 => 2
[6,5,7,1,4,3,8,2] => 1010101 => 3
[4,8,3,5,7,6,1,2] => 0100110 => 2
[5,7,6,1,2,4,8,3] => 0110001 => 1
[4,8,3,5,7,6,2,1] => 0100111 => 1
[1,3,4,2,8,5,7,6] => 0010101 => 2
[5,7,6,2,4,8,3,1] => 0110011 => 1
[6,7,5,2,3,8,4,1] => 0110011 => 1
[6,7,5,3,8,4,2,1] => 0110111 => 1
[3,2,1,4,8,5,7,6] => 1100101 => 2
[7,3,1,4,2,6,5,8] => 1101010 => 3
[7,4,1,6,2,5,3,8] => 1101010 => 3
[5,4,1,8,2,6,3,7] => 1101010 => 3
[5,3,1,8,2,6,4,7] => 1101010 => 3
[4,7,1,5,2,6,3,8] => 0101010 => 3
[6,5,1,4,2,7,3,8] => 1101010 => 3
[1,8,7,3,4,5,2,6] => 0110010 => 2
[1,8,9,3,4,5,6,7,2] => 00100001 => 1
[1,8,7,4,5,2,3,6] => 0110100 => 2
[1,2,6,8,7,3,4,5] => 0001100 => 1
[1,3,7,8,4,5,6,2] => 0001001 => 1
[1,3,4,5,6,7,8,9,10,11,12,2] => 00000000001 => 0
[8,4,2,3,1,6,5,7] => 1101010 => 3
[6,4,5,2,8,1,7,3] => 1010101 => 3
[4,8,6,2,3,1,7,5] => 0110101 => 2
[6,4,2,1,8,5,3,7] => 1110110 => 2
[4,2,6,1,5,8,3,7] => 1010010 => 3
[6,4,2,3,5,8,1,7] => 1100010 => 2
[2,8,6,4,5,1,7,3] => 0110101 => 2
[8,2,4,6,7,1,5,3] => 1000101 => 2
[2,6,3,1,7,4,8,5] => 0110101 => 2
[6,5,1,8,3,2,7,4] => 1101101 => 2
[1,4,3,7,2,8,6,5] => 0101011 => 2
[1,8,7,4,5,3,2,6] => 0110110 => 2
[2,8,3,1,4,5,7,6] => 0110001 => 1
[3,2,6,7,8,4,5,1] => 1000101 => 2
[1,7,4,6,3,8,2,5] => 0101010 => 3
[5,6,4,1,3,8,2,7] => 0110010 => 2
[4,5,3,1,8,7,6,2] => 0110111 => 1
[6,3,4,2,7,8,5,1] => 1010011 => 2
[8,7,4,5,1,6,3,2] => 1101011 => 2
[6,2,7,8,1,3,5,4] => 1001001 => 2
[5,1,8,4,3,7,2,6] => 1011010 => 3
[7,2,8,1,4,5,6,3] => 1010001 => 2
[1,4,8,2,5,6,7,3] => 0010001 => 1
[2,1,4,3,6,5,8,10,9,7] => 101010011 => 3
[2,1,4,3,6,8,7,5,10,9] => 101001101 => 3
[2,1,4,3,8,10,7,9,5,6] => 101001010 => 4
[2,1,4,3,6,7,10,8,9,5] => 101000101 => 3
[2,1,4,6,5,3,8,7,10,9] => 100110101 => 3
[2,1,4,6,5,3,8,10,9,7] => 100110011 => 2
[2,1,6,8,5,7,3,4,10,9] => 100101001 => 3
[2,1,8,7,5,10,4,9,3,6] => 101101010 => 4
[2,1,6,7,5,10,8,4,9,3] => 100101101 => 3
[2,1,4,5,8,6,7,3,10,9] => 100010101 => 3
[2,1,8,5,10,6,7,9,3,4] => 101010010 => 4
[2,1,4,7,10,6,9,8,3,5] => 100010110 => 3
[2,1,4,5,6,10,7,8,9,3] => 100001001 => 2
[2,4,3,1,6,5,8,10,9,7] => 011010011 => 2
[2,4,3,1,6,8,7,5,10,9] => 011001101 => 2
[2,4,3,1,8,10,7,9,5,6] => 011001010 => 3
[2,4,3,1,6,7,10,8,9,5] => 011000101 => 2
[4,6,3,5,1,2,8,7,10,9] => 010100101 => 3
[4,6,3,5,1,2,8,10,9,7] => 010100011 => 2
[6,5,3,8,2,7,1,4,10,9] => 110101001 => 3
[8,5,3,7,2,10,4,9,1,6] => 110101010 => 4
[6,5,3,7,2,10,8,4,9,1] => 110101101 => 3
[4,5,3,8,6,2,7,1,10,9] => 010110101 => 3
[8,6,3,5,10,2,7,9,1,4] => 110010010 => 3
[4,7,3,6,10,1,9,8,2,5] => 010010110 => 3
[4,5,3,6,10,7,1,8,9,2] => 010011001 => 2
[2,3,6,4,5,1,8,7,10,9] => 001010101 => 3
[2,3,6,4,5,1,8,10,9,7] => 001010011 => 2
[6,3,8,4,5,7,1,2,10,9] => 101001001 => 3
[8,3,7,4,5,10,2,9,1,6] => 101001010 => 4
[6,3,7,4,5,10,8,2,9,1] => 101001101 => 3
[2,5,8,4,7,6,1,3,10,9] => 001011001 => 2
[8,5,10,4,7,6,2,9,1,3] => 101011010 => 4
[2,7,10,4,8,6,9,5,1,3] => 001010110 => 3
[2,5,6,4,10,8,7,3,9,1] => 001011101 => 2
[2,3,4,8,5,6,7,1,10,9] => 000100101 => 2
[8,3,4,10,5,6,7,9,1,2] => 100100010 => 3
[2,7,4,10,5,6,9,8,1,3] => 010100110 => 3
[2,3,6,10,5,9,7,8,1,4] => 000101010 => 3
[2,3,4,5,10,6,7,8,9,1] => 000010001 => 1
[2,1,4,3,6,5,10,12,9,11,7,8] => 10101001010 => 5
[2,1,4,3,8,10,7,9,5,6,12,11] => 10100101001 => 4
[2,1,4,3,10,7,12,8,9,11,5,6] => 10101010010 => 5
[2,1,6,8,5,7,3,4,10,9,12,11] => 10010100101 => 4
[2,1,8,5,10,6,7,9,3,4,12,11] => 10101001001 => 4
[2,1,10,5,9,6,7,12,4,11,3,8] => 10101001010 => 5
[2,1,10,5,6,12,7,8,9,11,3,4] => 10100100010 => 4
[4,6,3,5,1,2,8,7,10,9,12,11] => 01010010101 => 4
[4,6,3,5,1,2,10,12,9,11,7,8] => 01010001010 => 4
[4,5,3,8,7,12,2,11,9,10,1,6] => 01010101010 => 5
[2,3,6,4,5,1,10,12,9,11,7,8] => 00101001010 => 4
[2,3,6,4,5,1,8,9,12,10,11,7] => 00101000101 => 3
[6,3,8,4,5,7,1,2,10,9,12,11] => 10100100101 => 4
[8,3,7,4,5,10,2,9,1,6,12,11] => 10100101001 => 4
[10,3,7,4,5,9,2,12,6,11,1,8] => 10100101010 => 5
[10,3,8,4,5,7,12,2,9,11,1,6] => 10100010010 => 4
[2,7,8,4,12,6,9,10,1,3,11,5] => 00101001001 => 3
[8,3,4,10,5,6,7,9,1,2,12,11] => 10010001001 => 3
[10,3,4,9,5,6,7,12,2,11,1,8] => 10010001010 => 4
[10,3,6,12,5,9,7,8,2,11,1,4] => 10010101010 => 5
[2,9,6,12,5,11,7,8,10,1,3,4] => 01010100100 => 4
[10,3,4,5,12,6,7,8,9,11,1,2] => 10001000010 => 3
[2,3,8,5,12,6,7,11,9,10,1,4] => 00101001010 => 4
[8,1,6,7,2,5,4,3] => 1001011 => 2
[7,5,2,3,6,8,4,1] => 1100011 => 1
[8,1,4,6,5,3,2,7] => 1001110 => 2
[8,1,4,7,6,5,2,3] => 1001110 => 2
[8,1,2,7,6,5,4,3] => 1001111 => 1
[4,5,8,1,6,7,2,3] => 0010010 => 2
[3,7,2,5,8,4,6,1] => 0100101 => 2
[6,7,8,4,1,5,2,3] => 0011010 => 2
[6,2,8,3,5,1,4,7] => 1010100 => 3
[6,2,7,4,5,3,1,8] => 1010110 => 3
[6,8,2,5,3,4,1,7] => 0101010 => 3
[6,8,7,5,4,1,2,3] => 0111100 => 1
[7,4,5,6,1,8,2,3] => 1001010 => 3
[6,3,5,2,8,1,7,4] => 1010101 => 3
[6,1,8,7,4,5,2,3] => 1011010 => 3
[4,8,7,1,6,3,2,5] => 0110110 => 2
[4,8,2,7,5,3,6,1] => 0101101 => 2
[1,3,2,6,8,7,4,5] => 0100110 => 2
[1,3,8,2,5,4,6,7] => 0010100 => 2
[1,6,2,5,8,7,3,4] => 0100110 => 2
[1,6,8,7,2,3,5,4] => 0011001 => 1
[1,6,8,7,2,5,3,4] => 0011010 => 2
[1,5,2,4,8,3,6,7] => 0100100 => 2
[1,2,4,5,8,6,3,7] => 0000110 => 1
[1,2,8,3,5,4,7,6] => 0010101 => 2
[1,3,8,2,5,4,7,6] => 0010101 => 2
[1,6,7,5,2,4,8,3] => 0011001 => 1
[1,5,6,4,7,2,3,8] => 0010100 => 2
[1,7,4,2,5,8,3,6] => 0110010 => 2
[1,6,4,3,7,5,2,8] => 0110110 => 2
[1,6,5,4,7,2,3,8] => 0110100 => 2
[1,7,3,2,6,4,8,5] => 0110101 => 2
[1,5,8,2,3,6,7,4] => 0010001 => 1
[1,3,2,6,8,5,4,7] => 0100110 => 2
[1,6,3,2,7,4,5,8] => 0110100 => 2
[1,7,8,5,4,2,3,6] => 0011100 => 1
[1,8,4,2,3,6,5,7] => 0110010 => 2
[1,4,2,7,5,3,8,6] => 0101101 => 2
[1,5,7,6,2,4,3,8] => 0011010 => 2
[1,8,4,7,3,2,6,5] => 0101101 => 2
[1,3,8,4,2,6,5,7] => 0011010 => 2
[1,7,4,2,6,5,8,3] => 0110101 => 2
[1,6,5,8,3,7,4,2] => 0101011 => 2
[1,7,4,8,3,2,5,6] => 0101100 => 2
[1,4,8,3,2,7,5,6] => 0011010 => 2
[1,8,3,6,4,5,2,7] => 0101010 => 3
[1,6,4,7,3,2,8,5] => 0101101 => 2
[8,2,3,7,4,5,6,1] => 1001001 => 2
[8,5,7,2,3,6,4,1] => 1010011 => 2
[7,5,2,1,6,8,3,4] => 1110010 => 2
[7,6,1,5,4,8,2,3] => 1101010 => 3
[7,6,3,2,1,8,4,5] => 1111010 => 2
[2,8,7,3,4,6,1,5] => 0110010 => 2
[6,5,1,3,7,2,8,4] => 1100101 => 2
[8,1,7,3,4,5,2,6] => 1010010 => 3
[7,1,8,3,4,5,2,6] => 1010010 => 3
[6,8,7,3,4,2,1,5] => 0110110 => 2
[3,8,7,1,2,4,5,6] => 0110000 => 1
[1,8,5,3,4,6,2,7] => 0110010 => 2
[7,1,6,5,4,3,8,2] => 1011101 => 2
[7,1,3,6,4,5,8,2] => 1001001 => 2
[7,1,5,3,6,4,8,2] => 1010101 => 3
[6,1,5,3,7,8,2,4] => 1010010 => 3
[5,8,7,1,2,6,3,4] => 0110010 => 2
[6,8,2,3,4,7,1,5] => 0100010 => 2
[5,1,7,3,8,6,2,4] => 1010110 => 3
[6,1,3,2,4,7,8,5] => 1010001 => 2
[6,2,1,3,4,7,8,5] => 1100001 => 1
[3,4,5,6,1,8,9,2,7] => 00010010 => 2
[3,4,5,6,8,1,9,2,7] => 00001010 => 2
[3,4,5,6,8,9,1,2,7] => 00000100 => 1
[2,4,5,1,6,7,8,9,3] => 00100001 => 1
[2,3,4,1,6,7,8,9,5] => 00100001 => 1
[2,3,4,5,6,1,8,9,10,7] => 000010001 => 1
[3,4,5,6,1,2,9,7,8] => 00010010 => 2
[3,4,5,6,8,1,2,7,9] => 00001000 => 1
[2,3,4,5,6,8,9,1,10,7] => 000000101 => 1
[3,4,5,1,6,7,8,2,9] => 00100010 => 2
[5,6,1,7,8,9,2,3,4] => 01000100 => 2
[4,5,6,1,7,8,9,10,2,3] => 001000010 => 2
[1,3,5,2,6,7,8,9,4] => 00100001 => 1
[3,5,6,1,7,8,9,10,2,4] => 001000010 => 2
[2,1,4,3,6,7,8,9,5] => 10100001 => 2
[3,4,6,1,7,8,9,10,2,5] => 001000010 => 2
[2,3,1,5,6,7,8,9,4] => 01000001 => 1
[3,4,5,1,7,8,9,10,2,6] => 001000010 => 2
[3,2,5,8,7,4,1,6] => 1001110 => 2
[4,2,5,8,7,3,1,6] => 1001110 => 2
[8,3,4,1,6,5,2,7] => 1010110 => 3
[3,4,8,5,7,2,1,6] => 0010110 => 2
[3,6,4,8,5,7,2,1] => 0101011 => 2
[5,8,4,7,3,6,2,1] => 0101011 => 2
[4,2,8,7,3,1,6,5] => 1011101 => 2
[6,5,8,2,1,7,4,3] => 1011011 => 2
[6,1,4,3,8,7,2,5] => 1010110 => 3
[5,1,3,2,6,8,7,4] => 1010011 => 2
[6,1,3,8,7,2,4,5] => 1001100 => 2
[1,2,8,4,5,7,3,6] => 0010010 => 2
[4,2,1,8,7,6,3,5] => 1101110 => 2
[3,2,5,8,7,1,4,6] => 1001100 => 2
[5,6,3,8,7,2,1,4] => 0101110 => 2
[2,5,8,4,7,1,6,3] => 0010101 => 2
[1,6,2,4,8,5,7,3] => 0100101 => 2
[3,1,6,5,8,7,2,4] => 1010110 => 3
[4,8,5,3,6,7,1,2] => 0110010 => 2
[1,8,5,3,4,7,6,2] => 0110011 => 1
[2,7,1,3,6,4,5,8] => 0100100 => 2
[8,1,7,3,5,4,6,2] => 1010101 => 3
[1,8,6,3,2,5,4,7] => 0111010 => 2
[3,2,4,8,5,7,1,6] => 1001010 => 3
[8,1,2,4,7,5,6,3] => 1000101 => 2
[6,4,5,8,3,1,7,2] => 1001101 => 2
[8,6,2,1,5,7,3,4] => 1110010 => 2
[4,6,2,8,5,3,7,1] => 0101101 => 2
[8,7,2,4,1,5,3,6] => 1101010 => 3
[7,5,3,4,8,6,2,1] => 1100111 => 1
[2,8,3,1,4,6,7,5] => 0110001 => 1
[4,3,6,5,1,2,7,8] => 1011000 => 2
[5,8,3,7,6,4,2,1] => 0101111 => 1
[1,3,8,7,6,5,2,4] => 0011110 => 1
[4,8,7,2,6,3,1,5] => 0110110 => 2
[1,8,7,2,6,3,5,4] => 0110101 => 2
[8,7,2,1,4,3,5,6] => 1110100 => 2
[2,8,7,1,6,3,4,5] => 0110100 => 2
[4,2,8,7,6,5,1,3] => 1011110 => 2
[8,4,2,7,6,5,3,1] => 1101111 => 1
[6,8,7,5,2,4,3,1] => 0111011 => 1
[1,2,5,7,4,8,6,3] => 0001011 => 1
[6,2,1,8,7,5,3,4] => 1101110 => 2
[6,3,8,7,4,5,2,1] => 1011011 => 2
[2,8,3,4,1,5,6,7] => 0101000 => 2
[1,3,7,5,4,8,6,2] => 0011011 => 1
[4,5,6,3,1,8,2,7] => 0011010 => 2
[5,2,1,4,3,6,8,7] => 1101001 => 2
[1,5,6,3,8,4,2,7] => 0010110 => 2
[2,6,5,3,8,4,1,7] => 0110110 => 2
[5,7,3,8,4,2,6,1] => 0101101 => 2
[5,3,6,2,8,4,1,7] => 1010110 => 3
[2,3,6,5,4,8,1,7] => 0011010 => 2
[3,7,5,4,8,2,6,1] => 0110101 => 2
[5,3,7,1,2,8,4,6] => 1010010 => 3
[6,3,8,7,2,5,4,1] => 1011011 => 2
[2,8,7,6,1,5,3,4] => 0111010 => 2
[9,7,8,5,4,3,2,1,6] => 10111110 => 2
[1,2,3,4,6,5,7,8,9] => 00001000 => 1
[1,2,3,5,4,6,7,8,9] => 00010000 => 1
[6,8,4,1,7,5,2,3] => 0110110 => 2
[8,1,4,6,7,5,2,3] => 1000110 => 2
[2,6,8,1,4,7,5,3] => 0010011 => 1
[6,4,8,1,2,7,5,3] => 1010011 => 2
[8,1,4,6,7,2,5,3] => 1000101 => 2
[8,2,1,6,7,4,5,3] => 1100101 => 2
[8,2,6,1,7,4,5,3] => 1010101 => 3
[4,2,8,1,6,7,5,3] => 1010011 => 2
[8,1,2,6,4,7,5,3] => 1001011 => 2
[8,4,1,6,2,7,5,3] => 1101011 => 2
[4,8,1,2,6,7,5,3] => 0100011 => 1
[4,8,2,1,6,7,5,3] => 0110011 => 1
[8,1,6,2,4,7,5,3] => 1010011 => 2
[8,2,4,6,1,7,5,3] => 1001011 => 2
[2,1,4,3,6,5,8,9,10,7] => 101010001 => 3
[2,1,4,3,6,7,8,5,10,9] => 101000101 => 3
[2,1,4,3,8,7,9,10,5,6] => 101010010 => 4
[2,1,4,3,6,7,8,9,10,5] => 101000001 => 2
[2,1,4,5,6,3,8,7,10,9] => 100010101 => 3
[2,1,4,5,6,3,8,9,10,7] => 100010001 => 2
[2,1,6,5,7,8,3,4,10,9] => 101001001 => 3
[2,1,8,5,9,7,3,10,6,4] => 101011011 => 3
[2,1,6,5,7,8,9,10,3,4] => 101000010 => 3
[2,1,4,5,6,7,8,3,10,9] => 100000101 => 2
[2,1,8,5,6,7,9,10,3,4] => 101000010 => 3
[2,1,4,7,6,8,9,3,10,5] => 100100101 => 3
[2,1,4,5,6,7,8,9,10,3] => 100000001 => 1
[2,3,4,1,6,5,8,7,10,9] => 001010101 => 3
[2,3,4,1,6,5,8,9,10,7] => 001010001 => 2
[2,3,4,1,6,7,8,5,10,9] => 001000101 => 2
[2,3,4,1,8,7,9,10,5,6] => 001010010 => 3
[2,3,4,1,6,7,8,9,10,5] => 001000001 => 1
[4,3,5,6,1,2,8,7,10,9] => 100100101 => 3
[4,3,5,6,1,2,8,9,10,7] => 100100001 => 2
[6,3,7,5,1,8,4,2,10,9] => 101101101 => 3
[8,3,9,5,1,7,4,10,6,2] => 101101011 => 3
[6,3,7,5,1,8,9,10,4,2] => 101100011 => 2
[4,3,5,6,7,8,1,2,10,9] => 100001001 => 2
[8,3,9,5,6,7,1,10,4,2] => 101001011 => 3
[4,3,7,8,6,10,9,2,5,1] => 100101101 => 3
[4,3,5,6,7,8,9,10,1,2] => 100000010 => 2
[2,3,4,5,6,1,8,7,10,9] => 000010101 => 2
[6,3,4,5,7,8,1,2,10,9] => 100001001 => 2
[8,3,4,5,9,7,1,10,6,2] => 100011011 => 2
[6,3,4,5,7,8,9,10,1,2] => 100000010 => 2
[2,5,4,6,7,1,8,3,10,9] => 010010101 => 3
[8,5,4,6,7,1,9,10,3,2] => 110010011 => 2
[2,7,4,8,6,1,9,5,10,3] => 010110101 => 3
[2,5,4,6,7,8,9,1,10,3] => 010000101 => 2
[2,3,4,5,6,7,8,1,10,9] => 000000101 => 1
[8,3,4,5,6,7,9,10,1,2] => 100000010 => 2
[2,7,4,5,6,8,9,1,10,3] => 010000101 => 2
[2,3,6,5,7,8,1,9,10,4] => 001001001 => 2
[2,1,4,3,6,5,10,9,11,12,7,8] => 10101010010 => 5
[2,1,4,3,6,7,8,5,10,11,12,9] => 10100010001 => 3
[2,1,4,3,8,7,9,10,5,6,12,11] => 10101001001 => 4
[2,1,4,3,6,9,8,10,11,5,12,7] => 10100100101 => 4
[2,1,4,5,6,3,8,7,10,11,12,9] => 10001010001 => 3
[2,1,4,5,6,3,8,9,10,7,12,11] => 10001000101 => 3
[2,1,4,5,6,3,10,9,11,12,7,8] => 10001010010 => 4
[2,1,6,5,7,8,3,4,10,9,12,11] => 10100100101 => 4
[2,1,4,7,6,8,9,3,10,5,12,11] => 10010010101 => 4
[2,1,4,5,8,7,9,10,3,11,12,6] => 10001001001 => 3
[2,3,4,1,6,5,8,7,10,11,12,9] => 00101010001 => 3
[2,3,4,1,6,5,8,9,10,7,12,11] => 00101000101 => 3
[2,3,4,1,6,5,10,9,11,12,7,8] => 00101010010 => 4
[2,3,4,1,6,7,8,5,10,9,12,11] => 00100010101 => 3
[2,3,4,1,6,7,8,5,10,11,12,9] => 00100010001 => 2
[2,3,4,1,8,7,9,10,5,6,12,11] => 00101001001 => 3
[2,3,4,1,8,7,9,10,11,12,5,6] => 00101000010 => 3
[2,3,4,1,10,7,8,9,11,12,5,6] => 00101000010 => 3
[2,3,4,1,6,9,8,10,11,5,12,7] => 00100100101 => 3
[4,3,5,6,1,2,8,7,10,9,12,11] => 10010010101 => 4
[4,3,5,6,1,2,8,7,10,11,12,9] => 10010010001 => 3
[4,3,5,6,1,2,10,9,11,12,7,8] => 10010010010 => 4
[4,3,5,6,7,8,1,2,10,11,12,9] => 10000100001 => 2
[4,3,5,6,7,8,9,10,11,12,1,2] => 10000000010 => 2
[2,3,4,5,6,1,8,9,10,11,12,7] => 00001000001 => 1
[6,3,4,5,7,8,1,2,10,11,12,9] => 10000100001 => 2
[6,3,4,5,7,8,9,10,11,12,1,2] => 10000000010 => 2
[2,5,4,6,7,1,8,3,10,9,12,11] => 01001010101 => 4
[2,5,4,6,7,1,8,3,10,11,12,9] => 01001010001 => 3
[2,9,4,10,6,7,8,1,11,5,12,3] => 01010010101 => 4
[8,3,4,5,6,7,9,10,11,12,1,2] => 10000000010 => 2
[2,3,6,5,7,8,1,9,10,4,12,11] => 00100100101 => 3
[2,3,6,5,7,8,9,10,1,11,12,4] => 00100001001 => 2
[2,3,4,5,6,7,8,9,10,1,12,11] => 00000000101 => 1
[10,3,4,5,6,7,8,9,11,12,1,2] => 10000000010 => 2
[2,3,8,5,6,7,9,10,1,11,12,4] => 00100001001 => 2
[2,3,4,7,6,8,9,1,10,11,12,5] => 00010010001 => 2
[5,4,7,6,3,1,2,8] => 1011100 => 2
[3,6,4,8,1,5,2,7] => 0101010 => 3
[3,6,8,4,1,5,2,7] => 0011010 => 2
[8,7,1,4,2,3,5,6] => 1101000 => 2
[3,8,6,4,1,5,2,7] => 0111010 => 2
[8,2,6,5,7,1,3,4] => 1010100 => 3
[4,6,1,3,2,8,7,5] => 0101011 => 2
[7,1,4,8,2,3,6,5] => 1001001 => 2
[4,5,3,6,7,1,8,2] => 0100101 => 2
[1,4,7,8,3,5,2,6] => 0001010 => 2
[4,6,1,3,5,2,8,7] => 0100101 => 2
[2,5,1,4,8,3,7,6] => 0100101 => 2
[6,1,2,5,4,8,7,3] => 1001011 => 2
[8,4,1,7,3,5,6,2] => 1101001 => 2
[8,4,1,2,5,7,3,6] => 1100010 => 2
[2,4,5,6,8,3,1,7] => 0000110 => 1
[3,4,5,8,6,2,1,7] => 0001110 => 1
[4,5,1,8,6,3,7,2] => 0101101 => 2
[1,8,2,3,4,5,9,6,7] => 01000010 => 2
[1,3,4,5,6,8,9,2,7] => 00000010 => 1
[8,3,7,2,1,6,5,4] => 1011011 => 2
[8,4,7,6,2,5,1,3] => 1011010 => 3
[8,4,7,3,6,2,1,5] => 1010110 => 3
[3,8,7,5,6,4,1,2] => 0110110 => 2
[3,8,7,5,6,2,1,4] => 0110110 => 2
[3,8,7,5,6,2,4,1] => 0110101 => 2
[2,8,7,5,6,4,1,3] => 0110110 => 2
[4,5,2,3,6,7,8,9,1] => 01000001 => 1
[4,3,2,5,6,7,8,9,1] => 11000001 => 1
[5,6,7,2,3,4,8,9,1] => 00100001 => 1
[5,3,6,2,4,7,8,9,1] => 10100001 => 2
[5,4,3,2,6,7,8,9,1] => 11100001 => 1
[6,3,7,8,2,4,5,9,1] => 10010001 => 2
[6,7,4,5,2,3,8,9,1] => 01010001 => 2
[6,4,3,7,2,5,8,9,1] => 11010001 => 2
[7,8,4,5,9,2,3,6,1] => 01001001 => 2
[7,4,3,8,9,2,5,6,1] => 11001001 => 2
[7,5,8,3,6,2,4,9,1] => 10101001 => 3
[7,5,4,3,8,2,6,9,1] => 11101001 => 2
[7,6,5,4,3,2,8,9,1] => 11111001 => 1
[8,6,4,9,3,7,2,5,1] => 11010101 => 3
[8,6,5,4,3,9,2,7,1] => 11110101 => 2
[4,5,2,3,6,7,8,9,10,1] => 010000001 => 1
[4,3,2,5,6,7,8,9,10,1] => 110000001 => 1
[5,6,7,2,3,4,8,9,10,1] => 001000001 => 1
[5,3,6,2,4,7,8,9,10,1] => 101000001 => 2
[5,4,3,2,6,7,8,9,10,1] => 111000001 => 1
[6,7,8,9,2,3,4,5,10,1] => 000100001 => 1
[6,3,7,8,2,4,5,9,10,1] => 100100001 => 2
[6,7,4,5,2,3,8,9,10,1] => 010100001 => 2
[6,4,3,7,2,5,8,9,10,1] => 110100001 => 2
[6,5,4,3,2,7,8,9,10,1] => 111100001 => 1
[7,8,9,10,1,3,4,5,6,2] => 000100001 => 1
[7,3,8,9,10,2,4,5,6,1] => 100010001 => 2
[7,4,3,8,9,2,5,6,10,1] => 110010001 => 2
[7,5,8,3,6,2,4,9,10,1] => 101010001 => 3
[7,5,4,3,8,2,6,9,10,1] => 111010001 => 2
[7,6,5,4,3,2,8,9,10,1] => 111110001 => 1
[8,5,9,3,6,10,2,4,7,1] => 101001001 => 3
[8,5,4,3,9,10,2,6,7,1] => 111001001 => 2
[8,9,6,7,4,5,2,3,10,1] => 010101001 => 3
[8,6,4,9,3,7,2,5,10,1] => 110101001 => 3
[8,6,5,4,3,9,2,7,10,1] => 111101001 => 2
[8,7,6,5,4,3,2,9,10,1] => 111111001 => 1
[9,7,5,4,10,3,8,2,6,1] => 111010101 => 3
[9,7,6,5,4,3,10,2,8,1] => 111110101 => 2
[10,1,9,2,8,3,7,4,6,5] => 101010101 => 4
[1,5,6,3,8,2,7,4] => 0010101 => 2
[2,6,3,8,4,7,1,5] => 0101010 => 3
[2,6,3,5,7,8,1,4] => 0100010 => 2
[1,5,6,3,7,2,8,4] => 0010101 => 2
[1,7,5,3,6,2,8,4] => 0110101 => 2
[1,5,7,3,4,2,8,6] => 0010101 => 2
[1,5,8,3,4,2,7,6] => 0010101 => 2
[1,4,5,3,7,2,8,6] => 0010101 => 2
[1,4,5,3,8,2,7,6] => 0010101 => 2
[6,5,1,4,2,7,8,3] => 1101001 => 2
[6,5,1,4,2,8,7,3] => 1101011 => 2
[1,7,5,4,2,8,6,3] => 0111011 => 1
[5,1,6,8,3,7,2,4] => 1001010 => 3
[1,2,3,4,5,6,7,8,9,10,11] => 0000000000 => 0
[1,4,3,6,5,10,9,7,8,2] => 010101101 => 3
[1,4,3,8,7,5,6,10,9,2] => 010110011 => 2
[1,4,3,10,7,5,9,6,8,2] => 010110101 => 3
[1,4,3,10,9,8,5,6,7,2] => 010111001 => 2
[1,6,5,3,4,8,7,10,9,2] => 011001011 => 2
[1,6,5,3,4,10,9,7,8,2] => 011001101 => 2
[1,8,5,3,7,4,6,10,9,2] => 011010011 => 2
[1,10,5,3,7,4,9,6,8,2] => 011010101 => 3
[1,10,5,3,9,8,4,6,7,2] => 011011001 => 2
[1,8,7,6,3,4,5,10,9,2] => 011100011 => 1
[1,10,7,6,3,4,9,5,8,2] => 011100101 => 2
[1,10,9,6,3,8,4,5,7,2] => 011101001 => 2
[1,10,9,8,7,3,4,5,6,2] => 011110001 => 1
[3,1,2,6,5,8,7,10,9,4] => 100101011 => 3
[3,1,2,6,5,10,9,7,8,4] => 100101101 => 3
[3,1,2,8,7,5,6,10,9,4] => 100110011 => 2
[3,1,2,10,7,5,9,6,8,4] => 100110101 => 3
[3,1,2,10,9,8,5,6,7,4] => 100111001 => 2
[3,1,5,2,4,8,7,10,9,6] => 101001011 => 3
[3,1,5,2,4,10,9,7,8,6] => 101001101 => 3
[3,1,5,2,7,4,6,10,9,8] => 101010011 => 3
[3,1,5,2,9,8,4,6,7,10] => 101011000 => 3
[3,1,7,6,2,4,5,10,9,8] => 101100011 => 2
[3,1,7,6,2,4,9,5,8,10] => 101100100 => 3
[3,1,9,6,2,8,4,5,7,10] => 101101000 => 3
[3,1,9,8,7,2,4,5,6,10] => 101110000 => 2
[5,4,1,2,3,8,7,10,9,6] => 110001011 => 2
[5,4,1,2,3,10,9,7,8,6] => 110001101 => 2
[5,4,1,2,7,3,6,10,9,8] => 110010011 => 2
[5,4,1,2,7,3,9,6,8,10] => 110010100 => 3
[5,4,1,2,9,8,3,6,7,10] => 110011000 => 2
[7,4,1,6,2,3,5,10,9,8] => 110100011 => 2
[7,4,1,6,2,3,9,5,8,10] => 110100100 => 3
[9,4,1,6,2,8,3,5,7,10] => 110101000 => 3
[9,4,1,8,7,2,3,5,6,10] => 110110000 => 2
[7,6,5,1,2,3,4,10,9,8] => 111000011 => 1
[7,6,5,1,2,3,9,4,8,10] => 111000100 => 2
[9,6,5,1,2,8,3,4,7,10] => 111001000 => 2
[9,8,5,1,7,2,3,4,6,10] => 111010000 => 2
[1,12,11,10,9,8,3,4,5,6,7,2] => 01111100001 => 1
[3,8,5,2,1,4,7,6] => 0111001 => 1
[3,5,4,8,2,6,7,1] => 0101001 => 2
[5,4,7,1,8,6,3,2] => 1010111 => 2
[2,4,1,5,3,6,7,8,9] => 01010000 => 2
[1,4,8,2,6,5,3,7] => 0010110 => 2
[8,5,1,3,6,2,4,7] => 1100100 => 2
[7,5,1,8,3,4,2,6] => 1101010 => 3
[5,2,8,1,7,4,3,6] => 1010110 => 3
[1,4,8,2,6,7,3,5] => 0010010 => 2
[1,2,5,6,8,7,3,4] => 0000110 => 1
[1,5,6,8,2,7,4,3] => 0001011 => 1
[2,6,7,3,4,1,8,5] => 0010101 => 2
[1,6,5,7,8,2,4,3] => 0100101 => 2
[1,5,6,7,2,8,4,3] => 0001011 => 1
[3,7,6,1,8,2,4,5] => 0110100 => 2
[1,3,7,2,6,4,8,5] => 0010101 => 2
[1,5,8,6,7,3,4,2] => 0010101 => 2
[1,6,5,8,7,2,4,3] => 0101101 => 2
[1,5,7,6,2,8,3,4] => 0011010 => 2
[1,2,5,8,6,7,4,3] => 0001011 => 1
[1,2,6,5,7,3,8,4] => 0010101 => 2
[1,7,5,8,6,4,2,3] => 0101110 => 2
[3,6,5,8,1,2,7,4] => 0101001 => 2
[5,4,7,8,1,6,3,2] => 1001011 => 2
[2,5,6,8,1,3,7,4] => 0001001 => 1
[5,3,6,8,1,2,7,4] => 1001001 => 2
[4,6,5,8,3,2,7,1] => 0101101 => 2
[4,5,6,8,2,3,7,1] => 0001001 => 1
[2,5,8,7,1,6,4,3] => 0011011 => 1
[4,7,5,8,3,6,2,1] => 0101011 => 2
[7,3,6,8,5,2,1,4] => 1001110 => 2
[8,3,6,7,5,2,4,1] => 1001101 => 2
[8,4,5,7,3,6,2,1] => 1001011 => 2
[2,4,7,8,5,6,3,1] => 0001011 => 1
[3,6,8,7,5,2,4,1] => 0011101 => 1
[6,4,7,8,5,1,3,2] => 1001101 => 2
[7,8,4,6,5,3,1,2] => 0101110 => 2
[6,8,4,7,5,1,3,2] => 0101101 => 2
[4,5,6,7,8,3,9,1,2] => 00001010 => 2
[8,9,2,3,4,5,1,6,7] => 01000100 => 2
[5,6,7,4,8,9,1,2,3] => 00100100 => 2
[7,8,9,2,3,1,4,5,6] => 00101000 => 2
[6,5,7,8,9,1,2,3,4] => 10001000 => 2
[7,6,1,2,3,5,4,8] => 1100010 => 2
[2,8,7,5,1,6,3,4] => 0111010 => 2
[8,7,6,4,2,1,5,3] => 1111101 => 1
[3,8,7,5,2,6,4,1] => 0111011 => 1
[3,8,7,5,1,2,6,4] => 0111001 => 1
[5,8,3,7,1,4,6,2] => 0101001 => 2
[3,8,7,4,2,6,5,1] => 0111011 => 1
[5,8,3,2,4,7,6,1] => 0110011 => 1
[5,3,8,2,4,6,1,7] => 1010010 => 3
[4,5,8,3,2,6,1,7] => 0011010 => 2
[5,8,2,1,4,6,3,7] => 0110010 => 2
[4,1,5,8,3,6,2,7] => 1001010 => 3
[4,5,8,3,6,1,2,7] => 0010100 => 2
[3,2,7,1,8,5,4,6] => 1010110 => 3
[4,7,8,5,2,3,1,6] => 0011010 => 2
[6,2,7,8,1,5,3,4] => 1001010 => 3
[2,7,1,3,8,5,4,6] => 0100110 => 2
[2,6,7,8,4,1,3,5] => 0001100 => 1
[2,6,7,8,4,3,1,5] => 0001110 => 1
[7,1,2,3,4,5,8,6,9] => 10000010 => 2
[6,1,2,3,4,7,5,8,9] => 10000100 => 2
[5,1,2,3,6,4,7,8,9] => 10001000 => 2
[4,1,2,5,3,6,7,8,9] => 10010000 => 2
[7,1,2,6,3,8,4,5] => 1001010 => 3
[8,1,2,6,5,3,7,4] => 1001101 => 2
[7,4,1,8,2,5,3,6] => 1101010 => 3
[7,2,1,8,3,6,4,5] => 1101010 => 3
[6,8,7,3,1,2,4,5] => 0111000 => 1
[7,4,8,3,1,2,6,5] => 1011001 => 2
[8,4,5,3,1,6,7,2] => 1011001 => 2
[8,2,3,1,6,7,4,5] => 1010010 => 3
[8,2,1,7,4,3,5,6] => 1101100 => 2
[7,2,6,8,4,1,3,5] => 1001100 => 2
[7,2,5,1,6,8,3,4] => 1010010 => 3
[6,2,1,7,4,8,3,5] => 1101010 => 3
[1,7,4,3,2,5,6,8] => 0111000 => 1
[1,7,4,3,6,2,5,8] => 0110100 => 2
[3,7,5,8,2,4,6,1] => 0101001 => 2
[5,2,1,6,3,4,8,7] => 1101001 => 2
[5,1,3,4,6,2,8,7] => 1000101 => 2
[3,8,4,5,7,2,6,1] => 0100101 => 2
[3,8,4,7,5,6,2,1] => 0101011 => 2
[4,2,8,6,3,7,5,1] => 1011011 => 2
[4,1,7,6,3,8,5,2] => 1011011 => 2
[7,4,1,8,5,3,6,2] => 1101101 => 2
[3,5,6,8,4,7,1,2] => 0001010 => 2
[5,4,1,8,6,7,2,3] => 1101010 => 3
[6,2,8,4,5,3,7,1] => 1010101 => 3
[4,5,2,1,8,7,3,6] => 0110110 => 2
[4,7,3,8,2,6,5,1] => 0101011 => 2
[4,7,3,1,8,6,2,5] => 0110110 => 2
[6,2,1,3,7,4,8,5] => 1100101 => 2
[6,3,7,1,2,5,8,4] => 1010001 => 2
[5,1,4,7,8,2,6,3] => 1000101 => 2
[7,2,5,8,1,3,6,4] => 1001001 => 2
[8,3,6,7,2,4,5,1] => 1001001 => 2
[3,8,7,5,2,1,6,4] => 0111101 => 1
[3,8,5,6,2,7,4,1] => 0101011 => 2
[3,6,5,8,4,2,7,1] => 0101101 => 2
[6,8,3,2,5,7,4,1] => 0110011 => 1
[4,1,5,6,8,7,3,2] => 1000111 => 1
[8,4,2,3,6,7,5,1] => 1100011 => 1
[6,1,2,4,5,7,8,3] => 1000001 => 1
[4,5,1,3,7,6,8,2] => 0100101 => 2
[3,5,4,8,6,2,7,1] => 0101101 => 2
[3,6,2,4,5,8,7,1] => 0100011 => 1
[8,1,2,3,4,5,9,7,6] => 10000011 => 1
[8,1,2,3,4,9,6,7,5] => 10000101 => 2
[9,1,2,3,8,5,6,7,4] => 10001001 => 2
[8,1,3,7,4,5,6,2] => 1001001 => 2
[9,1,2,3,4,5,6,10,8,7] => 100000011 => 1
[9,1,2,3,4,5,10,7,8,6] => 100000101 => 2
[10,1,2,3,4,9,6,7,8,5] => 100001001 => 2
[10,1,9,3,4,5,6,7,8,2] => 101000001 => 2
[10,1,2,3,4,5,6,8,9,7] => 100000001 => 1
[9,1,2,3,4,6,7,8,5] => 10000001 => 1
[8,1,5,3,6,4,7,2] => 1010101 => 3
[2,6,4,8,3,1,5,7] => 0101100 => 2
[2,6,4,1,5,8,7,3] => 0110011 => 1
[7,6,5,2,4,3,8,1] => 1110101 => 2
[3,6,4,5,2,8,1,7] => 0101010 => 3
[8,1,5,4,7,3,6,2] => 1010101 => 3
[7,6,5,4,1,8,2,3] => 1111010 => 2
[3,6,4,1,5,7,2,8] => 0110010 => 2
[8,1,5,4,7,6,3,2] => 1010111 => 2
[2,5,1,4,6,7,3,8] => 0100010 => 2
[3,6,4,1,5,7,8,2] => 0110001 => 1
[7,6,5,2,8,4,1,3] => 1110110 => 2
[3,1,6,5,2,8,7,4] => 1011011 => 2
[1,7,2,4,3,5,8,6] => 0101001 => 2
[3,8,1,7,4,2,6,5] => 0101101 => 2
[8,1,7,4,3,5,6,2] => 1011001 => 2
[6,8,2,4,5,3,7,1] => 0100101 => 2
[4,8,5,3,6,1,7,2] => 0110101 => 2
[2,8,3,1,4,7,5,6] => 0110010 => 2
[8,6,3,2,7,4,1,5] => 1110110 => 2
[2,7,3,1,8,4,5,6] => 0110100 => 2
[1,2,8,3,5,6,4,7] => 0010010 => 2
[3,5,7,4,8,1,6,2] => 0010101 => 2
[2,8,1,3,5,4,6,7] => 0100100 => 2
[1,3,2,10,6,5,4,9,8,7] => 010111011 => 2
[1,6,3,2,5,4,10,9,8,7] => 011010111 => 2
[1,6,3,2,10,5,4,9,8,7] => 011011011 => 2
[1,10,6,3,2,5,4,9,8,7] => 011101011 => 2
[1,6,3,2,10,9,5,4,8,7] => 011011101 => 2
[1,10,6,3,2,9,5,4,8,7] => 011101101 => 2
[3,1,2,6,5,4,10,9,8,7] => 100110111 => 2
[3,1,2,10,6,5,4,9,8,7] => 100111011 => 2
[3,1,6,2,5,4,10,9,8,7] => 101010111 => 3
[3,1,6,2,10,5,4,9,8,7] => 101011011 => 3
[3,1,10,6,2,5,4,9,8,7] => 101101011 => 3
[3,1,6,2,10,9,5,4,8,7] => 101011101 => 3
[3,1,10,6,2,9,5,4,8,7] => 101101101 => 3
[6,3,1,2,5,4,10,9,8,7] => 110010111 => 2
[6,3,1,2,10,5,4,9,8,7] => 110011011 => 2
[6,3,1,10,2,5,4,9,8,7] => 110101011 => 3
[10,6,3,1,2,5,4,9,8,7] => 111001011 => 2
[6,3,1,2,10,9,5,4,8,7] => 110011101 => 2
[6,3,1,10,2,9,5,4,8,7] => 110101101 => 3
[10,6,3,1,2,9,5,4,8,7] => 111001101 => 2
[3,1,6,5,2,4,10,9,8,7] => 101100111 => 2
[3,1,6,5,2,10,4,9,8,7] => 101101011 => 3
[3,1,10,6,5,2,4,9,8,7] => 101110011 => 2
[3,1,6,5,2,10,9,4,8,7] => 101101101 => 3
[3,1,10,6,5,2,9,4,8,7] => 101110101 => 3
[6,3,1,5,2,4,10,9,8,7] => 110100111 => 2
[6,3,1,5,2,10,4,9,8,7] => 110101011 => 3
[6,3,1,10,5,2,4,9,8,7] => 110110011 => 2
[10,6,3,1,5,2,4,9,8,7] => 111010011 => 2
[6,3,1,5,2,10,9,4,8,7] => 110101101 => 3
[6,3,1,10,5,2,9,4,8,7] => 110110101 => 3
[10,6,3,1,5,2,9,4,8,7] => 111010101 => 3
[6,3,1,10,9,5,2,4,8,7] => 110111001 => 2
[10,6,3,1,9,5,2,4,8,7] => 111011001 => 2
[3,1,6,5,2,10,9,8,4,7] => 101101110 => 3
[3,1,10,6,5,2,9,8,4,7] => 101110110 => 3
[6,3,1,5,2,10,9,8,4,7] => 110101110 => 3
[6,3,1,10,5,2,9,8,4,7] => 110110110 => 3
[10,6,3,1,5,2,9,8,4,7] => 111010110 => 3
[6,3,1,10,9,5,2,8,4,7] => 110111010 => 3
[1,5,2,8,6,4,3,7] => 0101110 => 2
[7,4,8,6,3,1,2,5] => 1011100 => 2
[3,6,8,4,1,2,5,7] => 0011000 => 1
[4,7,8,5,2,1,3,6] => 0011100 => 1
[6,1,5,2,8,7,3,4] => 1010110 => 3
[8,1,3,5,7,4,2,6] => 1000110 => 2
[3,1,8,5,4,7,2,6] => 1011010 => 3
[3,1,6,4,8,5,2,7] => 1010110 => 3
[5,1,3,4,2,6,8,7] => 1001001 => 2
[3,2,6,4,1,5,7,8] => 1011000 => 2
[5,4,2,1,8,3,6,7] => 1110100 => 2
[4,2,5,1,8,7,3,6] => 1010110 => 3
[6,8,2,7,1,4,3,5] => 0101010 => 3
[1,8,4,7,3,2,5,6] => 0101100 => 2
[8,6,3,1,5,7,2,4] => 1110010 => 2
[5,8,3,1,4,7,6,2] => 0110011 => 1
[1,2,5,4,7,8,3,6] => 0010010 => 2
[1,8,3,2,6,4,7,5] => 0110101 => 2
[4,7,1,2,5,3,6,8] => 0100100 => 2
[6,8,4,1,3,7,2,5] => 0110010 => 2
[3,2,6,1,7,8,5,4] => 1010011 => 2
[7,6,4,1,8,3,5,2] => 1110101 => 2
[5,4,1,6,7,3,2,8] => 1100110 => 2
[7,4,1,6,5,8,2,3] => 1101010 => 3
[8,5,4,1,6,7,3,2] => 1110011 => 1
[5,2,1,6,4,7,8,3] => 1101001 => 2
[1,6,2,3,5,7,8,4] => 0100001 => 1
[1,3,4,8,5,2,6,7] => 0001100 => 1
[8,2,4,6,1,7,3,5] => 1001010 => 3
[1,5,7,2,3,6,8,4] => 0010001 => 1
[7,3,1,4,2,5,8,6] => 1101001 => 2
[3,2,5,7,8,4,1,6] => 1000110 => 2
[4,3,5,1,6,2,7,8] => 1010100 => 3
[8,6,3,5,4,1,2,7] => 1101100 => 2
[8,3,2,6,1,5,4,7] => 1101010 => 3
[8,5,1,7,4,6,2,3] => 1101010 => 3
[4,8,1,7,6,3,5,2] => 0101101 => 2
[8,5,1,7,4,3,6,2] => 1101101 => 2
[8,5,7,6,2,1,3,4] => 1011100 => 2
[5,4,8,3,1,7,2,6] => 1011010 => 3
[5,1,4,8,3,2,7,6] => 1001101 => 2
[4,8,1,7,6,5,2,3] => 0101110 => 2
[4,3,8,7,2,6,1,5] => 1011010 => 3
[3,8,7,2,6,4,1,5] => 0110110 => 2
[8,2,5,7,4,3,6,1] => 1001101 => 2
[3,8,7,4,6,1,2,5] => 0110100 => 2
[8,7,6,3,5,4,1,2] => 1110110 => 2
[2,8,4,7,6,1,5,3] => 0101101 => 2
[2,5,4,8,3,1,7,6] => 0101101 => 2
[5,4,8,2,1,3,7,6] => 1011001 => 2
[3,8,7,2,6,1,5,4] => 0110101 => 2
[1,8,4,7,6,3,5,2] => 0101101 => 2
[1,8,3,7,6,5,2,4] => 0101110 => 2
[1,4,3,8,7,2,6,5] => 0101101 => 2
[7,1,5,4,6,2,3,8] => 1010100 => 3
[7,4,1,3,6,2,5,8] => 1100100 => 2
[5,4,3,1,7,6,2,8] => 1110110 => 2
[4,1,3,7,5,6,2,8] => 1001010 => 3
[2,6,8,3,1,7,4,5] => 0011010 => 2
[2,5,4,8,1,7,3,6] => 0101010 => 3
[7,2,6,5,8,3,4,1] => 1010101 => 3
[5,6,3,1,4,2,7,8] => 0110100 => 2
[2,6,5,3,4,8,7,1] => 0110011 => 1
[2,6,1,5,3,4,7,8] => 0101000 => 2
[3,6,2,7,4,5,1,8] => 0101010 => 3
[3,4,7,8,5,1,6,2] => 0001101 => 1
[3,6,2,4,7,8,5,1] => 0100011 => 1
[5,3,6,4,8,7,2,1] => 1010111 => 2
[1,5,4,8,6,2,7,3] => 0101101 => 2
[4,5,2,7,6,3,8,1] => 0101101 => 2
[7,6,2,5,3,8,4,1] => 1101011 => 2
[8,4,6,1,3,7,2,5] => 1010010 => 3
[4,8,5,1,2,3,6,7] => 0110000 => 1
[8,6,2,4,5,1,3,7] => 1100100 => 2
[4,5,1,3,8,6,2,7] => 0100110 => 2
[7,4,2,3,6,8,5,1] => 1100011 => 1
[2,1,6,7,4,8,3,5] => 1001010 => 3
[7,8,3,1,6,2,5,4] => 0110101 => 2
[7,5,2,8,1,4,6,3] => 1101001 => 2
[6,7,8,2,5,4,3,1] => 0010111 => 1
[7,8,1,6,2,5,4,3] => 0101011 => 2
[5,1,6,8,3,4,7,2] => 1001001 => 2
[7,1,6,8,5,4,3,2] => 1001111 => 1
[5,6,8,1,2,3,7,4] => 0010001 => 1
[4,8,1,2,7,6,5,3] => 0100111 => 1
[4,6,1,2,8,5,7,3] => 0100101 => 2
[6,4,7,3,5,2,1,8] => 1010110 => 3
[5,7,8,4,2,1,3,6] => 0011100 => 1
[6,4,8,3,5,2,1,7] => 1010110 => 3
[3,1,6,2,5,7,8,4] => 1010001 => 2
[2,1,6,3,5,7,4,8] => 1010010 => 3
[1,6,4,5,2,7,3,8] => 0101010 => 3
[1,4,7,3,2,5,6,8] => 0011000 => 1
[6,2,1,4,5,3,7,8] => 1100100 => 2
[1,2,3,4,5,8,9,6,7] => 00000010 => 1
[1,2,3,4,7,9,5,8,6] => 00000101 => 1
[1,2,3,6,9,4,7,8,5] => 00001001 => 1
[1,2,4,6,8,3,7,5] => 0000101 => 1
[1,2,5,9,3,6,7,8,4] => 00010001 => 1
[1,3,5,8,2,6,7,4] => 0001001 => 1
[1,4,9,2,5,6,7,8,3] => 00100001 => 1
[3,9,1,4,5,6,7,8,2] => 01000001 => 1
[6,1,3,7,2,8,5,4] => 1001011 => 2
[6,4,5,8,3,7,1,2] => 1001010 => 3
[8,1,4,3,6,7,2,5] => 1010010 => 3
[2,6,8,4,3,1,7,5] => 0011101 => 1
[8,1,5,2,6,4,3,7] => 1010110 => 3
[1,6,7,4,2,8,3,5] => 0011010 => 2
[1,7,8,4,3,6,2,5] => 0011010 => 2
[1,5,8,7,4,3,2,6] => 0011110 => 1
[1,4,7,2,3,6,8,5] => 0010001 => 1
[3,1,2,6,7,8,5,4] => 1000011 => 1
[3,8,1,6,4,2,7,5] => 0101101 => 2
[1,6,3,4,7,8,2,5] => 0100010 => 2
[3,1,5,7,6,2,8,4] => 1001101 => 2
[6,3,1,4,2,7,8,5] => 1101001 => 2
[2,4,3,7,6,1,8,5] => 0101101 => 2
[3,1,7,6,5,2,8,4] => 1011101 => 2
[1,4,7,6,8,3,2,5] => 0010110 => 2
[7,2,1,5,6,3,8,4] => 1100101 => 2
[4,3,1,8,6,2,7,5] => 1101101 => 2
[3,1,5,2,8,7,6,4] => 1010111 => 2
[1,2,8,4,3,7,6,5] => 0011011 => 1
[2,6,1,8,7,4,3,5] => 0101110 => 2
[7,5,1,8,3,2,6,4] => 1101101 => 2
[4,7,6,3,1,8,2,5] => 0111010 => 2
[5,3,1,8,6,2,4,7] => 1101100 => 2
[5,1,8,6,3,2,4,7] => 1011100 => 2
[1,5,4,2,8,6,3,7] => 0110110 => 2
[1,4,2,8,5,3,7,6] => 0101101 => 2
[8,3,1,6,4,2,5,7] => 1101100 => 2
[1,7,4,8,3,5,2,6] => 0101010 => 3
[7,3,2,4,8,5,1,6] => 1100110 => 2
[5,7,8,1,4,2,6,3] => 0010101 => 2
[2,6,3,8,1,7,5,4] => 0101011 => 2
[2,5,1,8,6,3,7,4] => 0101101 => 2
[2,8,6,4,1,7,3,5] => 0111010 => 2
[1,8,4,2,7,5,3,6] => 0110110 => 2
[6,5,1,7,2,8,4,3] => 1101011 => 2
[2,8,1,7,5,3,6,4] => 0101101 => 2
[1,2,8,7,6,4,3,5] => 0011110 => 1
[4,1,7,8,6,3,5,2] => 1001101 => 2
[1,6,5,7,8,4,2,3] => 0100110 => 2
[4,1,8,7,6,3,5,2] => 1011101 => 2
[4,8,2,6,3,5,1,7] => 0101010 => 3
[4,3,5,7,1,6,2,8] => 1001010 => 3
[4,1,8,5,3,6,2,7] => 1011010 => 3
[6,4,2,5,3,1,7,8] => 1101100 => 2
[3,1,5,8,2,7,4,6] => 1001010 => 3
[6,4,1,5,3,2,7,8] => 1101100 => 2
[6,2,1,5,4,3,7,8] => 1101100 => 2
[3,1,8,5,4,6,2,7] => 1011010 => 3
[6,1,8,4,5,3,2,7] => 1010110 => 3
[4,5,2,7,1,6,3,8] => 0101010 => 3
[4,3,5,7,1,6,8,2] => 1001001 => 2
[4,1,8,5,3,6,7,2] => 1011001 => 2
[6,3,8,4,5,1,7,2] => 1010101 => 3
[3,1,6,8,5,7,4,2] => 1001011 => 2
[2,6,1,8,5,7,4,3] => 0101011 => 2
[6,3,8,4,5,2,1,7] => 1010110 => 3
[6,5,8,7,2,3,4,1] => 1011001 => 2
[6,3,8,4,5,2,7,1] => 1010101 => 3
[2,1,6,8,5,3,7,4] => 1001101 => 2
[3,2,6,8,5,4,7,1] => 1001101 => 2
[4,1,8,5,2,6,3,7] => 1011010 => 3
[3,1,6,8,5,2,4,7] => 1001100 => 2
[6,5,8,7,4,1,2,3] => 1011100 => 2
[6,5,8,7,4,2,1,3] => 1011110 => 2
[6,5,8,7,2,4,1,3] => 1011010 => 3
[6,2,8,4,5,7,1,3] => 1010010 => 3
[6,1,8,4,5,7,3,2] => 1010011 => 2
[1,9,2,10,3,4,5,6,7,8] => 010100000 => 2
[2,8,1,9,3,4,5,6,7] => 01010000 => 2
[10,11,1,2,3,4,5,6,7,8,9] => 0100000000 => 1
[4,2,7,3,5,8,6,1] => 1010011 => 2
[3,6,2,4,8,5,7,1] => 0100101 => 2
[2,7,5,4,3,8,6,1] => 0111011 => 1
[3,5,1,8,4,7,6,2] => 0101011 => 2
[3,6,1,8,5,4,7,2] => 0101101 => 2
[2,4,8,3,7,6,5,1] => 0010111 => 1
[3,6,8,2,5,7,4,1] => 0010011 => 1
[2,6,8,5,4,3,7,1] => 0011101 => 1
[3,6,8,2,5,4,7,1] => 0010101 => 2
[4,6,8,3,2,5,7,1] => 0011001 => 1
[4,6,2,8,3,5,7,1] => 0101001 => 2
[3,6,1,8,5,7,4,2] => 0101011 => 2
[5,2,6,8,4,1,7,3] => 1001101 => 2
[4,6,3,8,7,2,5,1] => 0101101 => 2
[3,5,8,2,7,4,6,1] => 0010101 => 2
[2,6,8,5,7,4,3,1] => 0010111 => 1
[2,4,8,7,6,3,5,1] => 0011101 => 1
[7,5,1,6,3,2,8,4] => 1101101 => 2
[2,7,6,3,4,1,8,5] => 0110101 => 2
[5,7,6,3,1,2,8,4] => 0111001 => 1
[4,8,2,1,7,5,6,3] => 0110101 => 2
[6,3,8,5,7,2,4,1] => 1010101 => 3
[1,5,4,8,6,2,3,7] => 0101100 => 2
[8,2,1,7,5,3,6,4] => 1101101 => 2
[8,2,1,6,7,3,5,4] => 1100101 => 2
[6,2,8,1,7,5,3,4] => 1010110 => 3
[3,5,1,8,7,6,2,4] => 0101110 => 2
[1,4,2,3,6,5,8,7,9] => 01001010 => 3
[1,3,4,2,6,5,8,7,9] => 00101010 => 3
[1,4,2,3,6,5,8,7,10,9] => 010010101 => 3
[2,3,1,4,6,5,8,7,9] => 01001010 => 3
[4,6,1,2,3,5,8,7,9] => 01000010 => 2
[3,4,5,1,6,2,8,7,9] => 00101010 => 3
[3,1,2,4,6,5,8,7,9] => 10001010 => 3
[1,3,4,2,6,5,8,7,10,9] => 001010101 => 3
[3,1,4,2,6,5,8,7,10,9,11] => 1010101010 => 5
[4,7,3,5,6,1,2,8] => 0100100 => 2
[4,7,8,3,5,6,1,2] => 0010010 => 2
[2,1,3,4,5,6,9,7,8] => 10000010 => 2
[1,2,3,4,5,6,7,8,10,9,11] => 0000000010 => 1
[1,2,3,4,5,7,8,6,9] => 00000010 => 1
[2,1,3,4,5,6,7,10,8,9] => 100000010 => 2
[3,2,5,6,8,4,7,1] => 1000101 => 2
[8,4,5,2,6,3,7,1] => 1010101 => 3
[2,5,6,4,8,3,7,1] => 0010101 => 2
[4,2,5,7,3,8,1,6] => 1001010 => 3
[4,7,3,1,6,8,2,5] => 0110010 => 2
[4,2,7,6,8,1,3,5] => 1010100 => 3
[1,7,4,6,8,3,2,5] => 0100110 => 2
[4,7,2,5,6,3,1,8] => 0100110 => 2
[5,4,1,3,7,8,2,6] => 1100010 => 2
[6,1,5,8,3,7,2,4] => 1001010 => 3
[4,1,3,5,7,8,2,6] => 1000010 => 2
[6,1,5,8,4,3,2,7] => 1001110 => 2
[7,2,1,6,8,3,5,4] => 1100101 => 2
[5,6,4,1,8,3,2,7] => 0110110 => 2
[2,3,7,8,5,1,6,4] => 0001101 => 1
[4,1,7,6,2,3,8,5] => 1011001 => 2
[1,2,6,7,4,3,5,8] => 0001100 => 1
[10,2,3,4,5,6,7,8,1,9] => 100000010 => 2
[7,1,9,3,4,5,6,2,8] => 10100010 => 3
[5,8,6,3,4,1,2,7] => 0110100 => 2
[3,10,1,4,5,6,7,8,9,2] => 010000001 => 1
[11,2,3,4,5,6,7,8,9,1,10] => 1000000010 => 2
[8,1,10,3,4,5,6,7,2,9] => 101000010 => 3
[7,2,1,9,4,5,6,3,8] => 11010010 => 3
[6,9,7,3,4,5,1,2,8] => 01100100 => 2
[6,2,3,1,8,5,4,7] => 1010110 => 3
[5,1,2,6,4,8,3,7] => 1001010 => 3
[8,6,2,3,7,5,1,4] => 1100110 => 2
[3,8,1,2,9,5,6,7,4] => 01001001 => 2
[8,7,9,1,2,3,4,5,6] => 10100000 => 2
[3,11,1,4,5,6,7,8,9,10,2] => 0100000001 => 1
[12,2,3,4,5,6,7,8,9,10,1,11] => 10000000010 => 2
[8,2,1,10,4,5,6,7,3,9] => 110100010 => 3
[7,10,8,3,4,5,6,1,2,9] => 011000100 => 2
[7,2,3,1,9,5,6,4,8] => 10101010 => 4
[6,1,2,7,4,5,9,3,8] => 10010010 => 3
[5,9,6,3,4,1,7,2,8] => 01101010 => 3
[4,5,2,8,6,1,3,7] => 0101100 => 2
[3,4,8,2,5,6,1,7] => 0010010 => 2
[3,8,1,4,2,9,6,7,5] => 01010101 => 3
[9,7,2,3,8,5,6,1,4] => 11001010 => 3
[3,9,1,2,10,5,6,7,8,4] => 010010001 => 2
[3,12,1,4,5,6,7,8,9,10,11,2] => 01000000001 => 1
[2,8,3,6,7,4,5,1] => 0100101 => 2
[6,8,2,7,5,3,1,4] => 0101110 => 2
[6,3,2,5,8,4,1,7] => 1100110 => 2
[5,6,7,2,8,4,1,3] => 0010110 => 2
[5,8,3,6,4,1,7,2] => 0101101 => 2
[4,3,8,5,2,7,1,6] => 1011010 => 3
[2,8,4,5,1,6,3,7] => 0101010 => 3
[3,2,5,8,4,7,1,6] => 1001010 => 3
[2,5,8,1,3,4,7,6] => 0010001 => 1
[3,5,1,8,7,4,2,6] => 0101110 => 2
[4,6,1,3,8,2,7,5] => 0100101 => 2
[8,6,1,2,3,5,7,4] => 1100001 => 1
[5,1,7,8,3,2,4,6] => 1001100 => 2
[3,1,7,6,2,8,5,4] => 1011011 => 2
[5,3,6,7,4,2,8,1] => 1001101 => 2
[5,4,2,8,6,7,3,1] => 1101011 => 2
[6,1,4,2,8,7,3,5] => 1010110 => 3
[3,7,2,6,8,4,5,1] => 0100101 => 2
[4,6,5,2,7,8,3,1] => 0110011 => 1
[5,4,6,2,7,8,3,1] => 1010011 => 2
[5,1,8,6,4,2,7,3] => 1011101 => 2
[6,2,1,8,5,7,4,3] => 1101011 => 2
[5,4,6,2,3,1,8,7] => 1010101 => 3
[6,5,7,8,1,3,4,2] => 1001001 => 2
[2,1,7,6,8,4,5,3] => 1010101 => 3
[6,4,7,2,8,3,1,5] => 1010110 => 3
[6,3,2,7,8,4,5,1] => 1100101 => 2
[4,7,3,1,5,2,8,6] => 0110101 => 2
[2,1,4,7,5,3,8,6] => 1001101 => 2
[4,7,6,3,1,5,8,2] => 0111001 => 1
[2,7,3,1,8,5,4,6] => 0110110 => 2
[2,8,3,1,7,4,5,6] => 0110100 => 2
[7,6,8,9,1,2,3,4,5] => 10010000 => 2
[5,4,6,7,8,9,1,2,3] => 10000100 => 2
[1,5,6,8,3,2,4,7] => 0001100 => 1
[1,8,2,7,3,5,6,4] => 0101001 => 2
[1,7,4,8,6,5,3,2] => 0101111 => 1
[1,6,3,5,7,4,8,2] => 0100101 => 2
[1,5,4,7,2,8,3,6] => 0101010 => 3
[3,8,5,2,6,1,7,4] => 0110101 => 2
[3,7,4,8,5,2,6,1] => 0101101 => 2
[8,1,2,6,5,3,4,7] => 1001100 => 2
[3,7,4,2,5,6,1,8] => 0110010 => 2
[6,8,7,1,3,4,2,5] => 0110010 => 2
[3,4,2,8,6,7,5,1] => 0101011 => 2
[3,7,8,6,1,4,2,5] => 0011010 => 2
[3,6,1,5,2,7,8,4] => 0101001 => 2
[8,1,2,6,3,5,7,4] => 1001001 => 2
[6,2,8,4,7,1,3,5] => 1010100 => 3
[3,7,8,4,2,5,6,1] => 0011001 => 1
[3,4,2,8,5,1,6,7] => 0101100 => 2
[1,4,3,2,5,6,7,8,9] => 01100000 => 1
[6,8,2,7,5,4,1,3] => 0101110 => 2
[1,8,4,3,7,6,2,5] => 0110110 => 2
[4,3,8,7,1,2,6,5] => 1011001 => 2
[1,8,4,5,7,6,2,3] => 0100110 => 2
[4,3,8,5,7,1,6,2] => 1010101 => 3
[6,3,4,8,7,2,1,5] => 1001110 => 2
[5,3,8,4,7,1,6,2] => 1010101 => 3
[5,2,8,7,1,4,6,3] => 1011001 => 2
[3,2,8,7,1,6,4,5] => 1011010 => 3
[2,7,8,3,1,6,4,5] => 0011010 => 2
[2,7,8,5,1,4,6,3] => 0011001 => 1
[3,5,8,7,4,1,6,2] => 0011101 => 1
[7,4,6,8,3,5,1,2] => 1001010 => 3
[2,7,8,1,3,6,4,5] => 0010010 => 2
[2,7,8,1,5,4,6,3] => 0010101 => 2
[2,7,8,1,4,5,6,3] => 0010001 => 1
[3,6,7,8,2,4,1,5] => 0001010 => 2
[4,5,7,8,6,3,1,2] => 0001110 => 1
[5,4,6,8,7,3,1,2] => 1001110 => 2
[4,5,8,6,7,1,3,2] => 0010101 => 2
[5,7,6,8,2,1,3,4] => 0101100 => 2
[3,7,6,8,2,4,1,5] => 0101010 => 3
[5,4,7,8,6,3,1,2] => 1001110 => 2
[4,5,7,8,2,6,1,3] => 0001010 => 2
[4,5,6,8,7,3,1,2] => 0001110 => 1
[6,1,5,3,8,4,7,2] => 1010101 => 3
[1,8,6,2,5,4,7,3] => 0110101 => 2
[3,8,4,1,7,5,2,6] => 0110110 => 2
[6,2,7,4,8,3,1,5] => 1010110 => 3
[2,8,5,1,4,3,7,6] => 0110101 => 2
[6,8,2,7,5,1,4,3] => 0101101 => 2
[8,3,4,5,6,1,7,2] => 1000101 => 2
[5,3,6,4,7,2,1,8] => 1010110 => 3
[4,2,6,5,7,3,1,8] => 1010110 => 3
[5,4,6,2,7,3,1,8] => 1010110 => 3
[3,2,6,5,8,4,1,7] => 1010110 => 3
[3,2,6,5,8,7,1,4] => 1010110 => 3
[4,2,6,5,8,7,1,3] => 1010110 => 3
[5,2,6,4,8,7,1,3] => 1010110 => 3
[5,4,7,6,8,2,1,3] => 1010110 => 3
[6,4,7,5,8,3,1,2] => 1010110 => 3
[4,2,7,5,8,6,1,3] => 1010110 => 3
[3,2,7,5,8,4,1,6] => 1010110 => 3
[4,3,7,2,8,5,1,6] => 1010110 => 3
[4,3,6,2,8,5,1,7] => 1010110 => 3
[4,3,7,6,8,5,1,2] => 1010110 => 3
[5,3,7,6,8,2,1,4] => 1010110 => 3
[5,3,7,2,8,6,1,4] => 1010110 => 3
[3,2,6,4,8,7,1,5] => 1010110 => 3
[4,2,7,3,8,6,1,5] => 1010110 => 3
[5,2,7,6,8,3,1,4] => 1010110 => 3
[3,2,7,6,8,4,1,5] => 1010110 => 3
[3,2,7,6,8,5,1,4] => 1010110 => 3
[6,2,7,5,8,4,1,3] => 1010110 => 3
[4,8,1,7,3,2,5,6] => 0101100 => 2
[3,7,4,8,2,1,5,6] => 0101100 => 2
[3,7,8,2,5,4,6,1] => 0010101 => 2
[4,7,5,8,3,2,6,1] => 0101101 => 2
[6,7,1,3,2,5,8,4] => 0101001 => 2
[8,7,6,4,1,5,3,2] => 1111011 => 1
[3,8,5,2,6,4,7,1] => 0110101 => 2
[7,2,5,3,4,8,1,6] => 1010010 => 3
[4,2,5,3,7,8,6,1] => 1010011 => 2
[5,3,6,2,4,1,8,7] => 1010101 => 3
[7,8,6,2,3,5,4,1] => 0110011 => 1
[5,8,2,6,3,7,4,1] => 0101011 => 2
[4,8,2,3,7,5,6,1] => 0100101 => 2
[7,5,6,2,3,8,4,1] => 1010011 => 2
[2,7,5,6,4,3,8,1] => 0101101 => 2
[2,8,4,3,7,5,6,1] => 0110101 => 2
[3,8,5,7,6,4,2,1] => 0101111 => 1
[7,8,6,3,5,4,2,1] => 0110111 => 1
[2,7,6,3,8,5,4,1] => 0110111 => 1
[7,4,2,5,6,3,8,1] => 1100101 => 2
[6,2,7,5,3,8,4,1] => 1011011 => 2
[2,4,8,3,7,5,6,1] => 0010101 => 2
[4,8,3,7,5,6,2,1] => 0101011 => 2
[6,2,5,8,3,7,4,1] => 1001011 => 2
[4,7,3,8,2,5,6,1] => 0101001 => 2
[8,2,5,6,3,7,4,1] => 1001011 => 2
[4,5,3,7,1,2,6,8] => 0101000 => 2
[8,5,6,4,1,3,2,7] => 1011010 => 3
[6,7,2,8,4,3,1,5] => 0101110 => 2
[6,7,3,2,8,4,1,5] => 0110110 => 2
[4,7,8,3,1,5,2,6] => 0011010 => 2
[4,5,8,1,3,2,6,7] => 0010100 => 2
[4,7,8,1,6,3,2,5] => 0010110 => 2
[4,7,1,3,8,6,5,2] => 0100111 => 1
[2,6,7,4,3,8,1,5] => 0011010 => 2
[3,7,6,4,5,8,1,2] => 0110010 => 2
[5,7,2,8,3,4,6,1] => 0101001 => 2
[3,7,2,8,5,6,4,1] => 0101011 => 2
[3,1,5,8,6,4,7,2] => 1001101 => 2
[2,3,8,6,4,5,7,1] => 0011001 => 1
[2,3,8,6,4,7,5,1] => 0011011 => 1
[3,6,2,8,7,4,5,1] => 0101101 => 2
[2,5,6,1,8,7,3,4] => 0010110 => 2
[3,6,2,8,4,7,5,1] => 0101011 => 2
[2,3,8,5,7,4,6,1] => 0010101 => 2
[8,5,6,3,1,4,2,7] => 1011010 => 3
[8,3,5,1,6,4,2,7] => 1010110 => 3
[5,7,8,3,4,6,2,1] => 0010011 => 1
[3,5,1,8,6,4,2,7] => 0101110 => 2
[7,5,3,8,6,4,2,1] => 1101111 => 1
[5,1,3,8,6,4,2,7] => 1001110 => 2
[1,5,8,3,6,4,2,7] => 0010110 => 2
[7,5,8,3,6,4,2,1] => 1010111 => 2
[1,5,8,6,3,4,2,7] => 0011010 => 2
[3,7,5,8,2,6,4,1] => 0101011 => 2
[5,7,8,1,4,6,2,3] => 0010010 => 2
[1,3,7,8,4,2,6,5] => 0001101 => 1
[6,1,2,5,3,4,7,8] => 1001000 => 2
[5,1,4,6,7,3,2,8] => 1000110 => 2
[1,4,6,5,7,2,3,8] => 0010100 => 2
[6,7,3,5,4,1,2,8] => 0101100 => 2
[8,1,6,7,3,5,4,2] => 1001011 => 2
[4,2,5,1,3,7,6,8] => 1010010 => 3
[1,3,2,6,8,4,7,5] => 0100101 => 2
[8,2,5,4,1,6,7,3] => 1011001 => 2
[8,1,7,5,4,2,6,3] => 1011101 => 2
[1,2,6,4,7,3,5,8] => 0010100 => 2
[1,6,4,3,7,2,5,8] => 0110100 => 2
[5,7,8,3,2,6,1,4] => 0011010 => 2
[2,3,4,5,6,9,8,7,1] => 00000111 => 0
[2,3,4,5,8,7,9,6,1] => 00001011 => 1
[2,3,6,5,7,8,9,4,1] => 00100011 => 1
[2,3,4,5,6,7,8,9,11,10,1] => 0000000011 => 0
[2,3,4,5,6,7,10,9,8,1] => 000000111 => 0
[2,3,4,5,8,9,7,6,1] => 00000111 => 0
[2,3,4,5,6,9,8,10,7,1] => 000001011 => 1
[8,4,5,1,3,7,6,2] => 1010011 => 2
[8,6,4,3,7,1,5,2] => 1110101 => 2
[7,5,6,8,1,3,2,4] => 1001010 => 3
[6,8,7,5,4,2,3,1] => 0111101 => 1
[7,3,1,8,6,5,2,4] => 1101110 => 2
[3,4,5,6,7,1,2,8,9] => 00001000 => 1
[2,7,3,1,4,8,6,5] => 0110011 => 1
[3,1,6,5,7,8,4,2] => 1010011 => 2
[4,3,1,5,8,7,6,2] => 1100111 => 1
[4,7,1,3,2,5,6,8] => 0101000 => 2
[4,1,6,7,3,2,8,5] => 1001101 => 2
[1,7,2,5,6,8,4,3] => 0100011 => 1
[4,7,6,8,3,1,5,2] => 0101101 => 2
[5,4,8,6,1,7,3,2] => 1011011 => 2
[3,5,4,7,1,8,6,2] => 0101011 => 2
[7,1,5,4,2,3,6,8] => 1011000 => 2
[7,1,3,6,4,5,2,8] => 1001010 => 3
[6,1,3,8,4,5,2,7] => 1001010 => 3
[2,1,8,7,3,6,5,4] => 1011011 => 2
[5,8,6,3,1,2,7,4] => 0111001 => 1
[5,8,2,7,1,3,6,4] => 0101001 => 2
[2,6,5,4,1,3,7,8] => 0111000 => 1
[4,1,5,7,6,3,2,8] => 1001110 => 2
[6,3,4,2,1,8,7,5] => 1011011 => 2
[4,5,1,7,6,3,2,8] => 0101110 => 2
[5,4,2,1,8,7,3,6] => 1110110 => 2
[6,2,1,5,4,3,8,7] => 1101101 => 2
[1,4,2,6,7,8,5,3] => 0100011 => 1
[1,4,2,5,6,8,7,3] => 0100011 => 1
[2,5,3,6,7,8,4,1] => 0100011 => 1
[1,8,6,2,4,3,5,7] => 0110100 => 2
[3,2,4,5,7,8,1,6] => 1000010 => 2
[2,3,4,7,5,8,6,1] => 0001011 => 1
[6,5,2,8,7,4,3,1] => 1101111 => 1
[7,8,5,4,2,1,6,3] => 0111101 => 1
[7,5,2,8,6,4,3,1] => 1101111 => 1
[7,8,3,2,6,5,4,1] => 0110111 => 1
[8,2,6,3,7,5,1,4] => 1010110 => 3
[8,6,7,2,5,3,1,4] => 1010110 => 3
[1,6,2,7,8,4,5,3] => 0100101 => 2
[8,6,2,7,5,4,1,3] => 1101110 => 2
[1,6,8,2,7,5,3,4] => 0010110 => 2
[7,6,3,2,8,1,5,4] => 1110101 => 2
[5,1,7,4,3,8,6,2] => 1011011 => 2
[8,6,3,7,2,4,1,5] => 1101010 => 3
[1,7,8,6,4,2,3,5] => 0011100 => 1
[7,2,8,6,4,1,3,5] => 1011100 => 2
[1,5,3,7,4,2,6,8] => 0101100 => 2
[1,7,6,4,3,2,8,5] => 0111101 => 1
[1,7,6,3,4,2,5,8] => 0110100 => 2
[1,2,7,4,3,8,6,5] => 0011011 => 1
[1,5,4,2,3,8,7,6] => 0110011 => 1
[1,5,3,2,4,6,7,8] => 0110000 => 1
[1,5,4,2,3,7,8,6] => 0110001 => 1
[1,2,7,6,3,5,8,4] => 0011001 => 1
[8,1,3,2,6,5,7,4] => 1010101 => 3
[3,2,7,5,6,1,8,4] => 1010101 => 3
[7,5,6,1,3,2,8,4] => 1010101 => 3
[7,4,5,1,6,3,8,2] => 1010101 => 3
[7,5,6,1,4,3,8,2] => 1010101 => 3
[8,1,4,3,5,2,7,6] => 1010101 => 3
[10,5,9,4,8,3,7,2,6,1] => 101010101 => 4
[1,3,5,2,4,7,6,9,8,10] => 001001010 => 3
[2,3,5,1,4,7,6,9,8] => 00100101 => 2
[3,4,1,5,2,7,6,9,8] => 01010101 => 3
[4,1,2,5,3,7,6,9,8] => 10010101 => 3
[1,4,2,5,3,7,6,9,8,10] => 010101010 => 4
[8,3,6,5,4,1,2,7] => 1011100 => 2
[1,7,5,8,4,6,3,2] => 0101011 => 2
[6,5,7,1,2,8,3,4] => 1010010 => 3
[7,1,4,2,3,8,6,5] => 1010011 => 2
[3,7,5,6,8,1,2,4] => 0100100 => 2
[8,1,2,5,3,7,6,4] => 1001011 => 2
[8,6,5,2,4,1,7,3] => 1110101 => 2
[3,6,5,2,4,1,7,8] => 0110100 => 2
[6,8,5,2,4,3,1,7] => 0110110 => 2
[3,4,2,8,6,7,1,5] => 0101010 => 3
[4,6,7,2,5,1,8,3] => 0010101 => 2
[3,6,2,5,1,7,8,4] => 0101001 => 2
[3,4,2,7,8,1,5,6] => 0100100 => 2
[3,8,5,2,4,7,1,6] => 0110010 => 2
[10,3,1,5,6,7,8,9,2,4] => 110000010 => 2
[10,4,1,5,6,7,8,9,2,3] => 110000010 => 2
[12,3,4,5,6,7,8,9,10,11,1,2] => 10000000010 => 2
[7,1,4,2,5,8,6,3] => 1010011 => 2
[7,8,5,1,2,4,3,6] => 0110010 => 2
[5,8,1,4,3,6,7,2] => 0101001 => 2
[7,2,3,8,6,4,1,5] => 1001110 => 2
[5,2,3,8,7,4,1,6] => 1001110 => 2
[5,7,6,3,1,2,4,8] => 0111000 => 1
[4,2,6,8,1,3,5,7,9] => 10010000 => 2
[4,6,2,8,1,3,5,7,9] => 01010000 => 2
[4,6,8,2,1,3,5,7,9] => 00110000 => 1
[4,6,2,7,8,1,3,5] => 0100100 => 2
[4,6,8,2,9,1,3,5,7] => 00101000 => 2
[4,6,2,7,9,1,3,5,8] => 01001000 => 2
[6,2,3,7,1,4,5,8] => 1001000 => 2
[4,2,5,7,9,1,3,6,8] => 10001000 => 2
[2,3,5,7,9,1,4,6,8] => 00001000 => 1
[4,2,6,8,10,1,3,5,7,9] => 100010000 => 2
[6,4,2,8,1,3,5,7,9] => 11010000 => 2
[4,6,2,8,10,1,3,5,7,9] => 010010000 => 2
[8,4,6,2,1,3,5,7,9] => 10110000 => 2
[4,6,8,2,10,1,3,5,7,9] => 001010000 => 2
[4,6,8,9,2,1,3,5,7] => 00011000 => 1
[4,6,8,10,2,1,3,5,7,9] => 000110000 => 1
[4,6,7,8,2,1,3,5] => 0001100 => 1
[4,6,2,7,1,3,5,8,9] => 01010000 => 2
[4,6,8,2,9,1,3,5,7,10] => 001010000 => 2
[4,8,2,5,9,1,3,6,7] => 01001000 => 2
[4,6,2,7,9,1,3,5,8,10] => 010010000 => 2
[6,2,3,7,9,1,4,5,8] => 10001000 => 2
[4,2,5,7,9,1,3,6,8,10] => 100010000 => 2
[1,4,5,7,9,2,3,6,8] => 00001000 => 1
[2,3,5,7,9,1,4,6,8,10] => 000010000 => 1
[8,6,3,2,1,7,5,4] => 1111011 => 1
[5,3,4,1,7,8,2,6] => 1010010 => 3
[8,6,4,9,7,5,3,2,1] => 11011111 => 1
[7,8,5,9,6,4,3,2,1] => 01011111 => 1
[8,6,4,2,9,7,5,3,1] => 11101111 => 1
[7,8,5,3,9,6,4,2,1] => 01101111 => 1
[7,4,8,5,9,6,3,2,1] => 10101111 => 2
[6,7,8,4,9,5,3,2,1] => 00101111 => 1
[7,8,5,3,1,9,6,4,2] => 01110111 => 1
[7,4,8,5,2,9,6,3,1] => 10110111 => 2
[6,7,8,4,2,9,5,3,1] => 00110111 => 1
[6,7,3,8,4,9,5,2,1] => 01010111 => 2
[5,6,7,8,3,9,4,2,1] => 00010111 => 1
[6,7,3,8,4,1,9,5,2] => 01011011 => 2
[5,6,7,8,3,1,9,4,2] => 00011011 => 1
[6,2,7,3,8,4,9,5,1] => 10101011 => 3
[5,6,7,2,8,3,9,4,1] => 00101011 => 2
[4,5,6,7,8,2,9,3,1] => 00001011 => 1
[5,6,1,7,2,8,3,9,4] => 01010101 => 3
[4,5,6,7,1,8,2,9,3] => 00010101 => 2
[9,7,10,8,6,5,4,3,2,1] => 101111111 => 1
[9,7,5,10,8,6,4,3,2,1] => 110111111 => 1
[8,9,6,10,7,5,4,3,2,1] => 010111111 => 1
[9,7,5,3,10,8,6,4,2,1] => 111011111 => 1
[8,9,6,4,10,7,5,3,2,1] => 011011111 => 1
[8,5,9,6,10,7,4,3,2,1] => 101011111 => 2
[7,8,9,5,10,6,4,3,2,1] => 001011111 => 1
[8,9,6,4,2,10,7,5,3,1] => 011101111 => 1
[8,5,9,6,3,10,7,4,2,1] => 101101111 => 2
[7,8,9,5,3,10,6,4,2,1] => 001101111 => 1
[7,8,4,9,5,10,6,3,2,1] => 010101111 => 2
[6,7,8,9,4,10,5,3,2,1] => 000101111 => 1
[8,5,9,6,3,1,10,7,4,2] => 101110111 => 2
[7,8,9,5,3,1,10,6,4,2] => 001110111 => 1
[8,5,2,9,6,3,10,7,4,1] => 110110111 => 2
[6,7,8,9,4,2,10,5,3,1] => 000110111 => 1
[7,3,8,4,9,5,10,6,2,1] => 101010111 => 3
[6,7,8,3,9,4,10,5,2,1] => 001010111 => 2
[5,6,7,8,9,3,10,4,2,1] => 000010111 => 1
[7,8,4,1,9,5,2,10,6,3] => 011011011 => 2
[7,3,8,4,9,5,1,10,6,2] => 101011011 => 3
[6,7,8,3,9,4,1,10,5,2] => 001011011 => 2
[5,6,7,8,9,3,1,10,4,2] => 000011011 => 1
[6,7,2,8,3,9,4,10,5,1] => 010101011 => 3
[5,6,7,8,2,9,3,10,4,1] => 000101011 => 2
[4,5,6,7,8,9,2,10,3,1] => 000001011 => 1
[5,6,7,1,8,2,9,3,10,4] => 001010101 => 3
[4,5,6,7,8,1,9,2,10,3] => 000010101 => 2
[6,1,3,4,2,5,8,7] => 1001001 => 2
[5,1,3,6,2,4,8,7] => 1001001 => 2
[1,5,7,6,8,2,4,3] => 0010101 => 2
[5,7,1,3,8,4,2,6] => 0100110 => 2
[2,6,1,4,3,7,8,5] => 0101001 => 2
[1,6,2,4,3,5,8,7] => 0101001 => 2
[5,3,7,6,1,8,4,2] => 1011011 => 2
[1,5,6,3,7,8,4,2] => 0010011 => 1
[1,5,7,6,3,8,4,2] => 0011011 => 1
[7,3,5,6,1,8,4,2] => 1001011 => 2
[1,6,3,7,8,5,4,2] => 0100111 => 1
[1,7,8,6,3,5,4,2] => 0011011 => 1
[3,7,5,6,1,8,4,2] => 0101011 => 2
[5,6,2,8,4,7,3,1] => 0101011 => 2
[5,7,6,3,4,8,1,2] => 0110010 => 2
[3,7,5,4,6,1,2,8] => 0110100 => 2
[5,3,4,7,6,8,1,2] => 1001010 => 3
[5,3,7,4,6,1,2,8] => 1010100 => 3
[7,3,5,4,6,1,2,8] => 1010100 => 3
[7,8,3,5,4,1,2,6] => 0101100 => 2
[7,3,5,4,1,2,6,8] => 1011000 => 2
[5,7,6,3,4,1,2,8] => 0110100 => 2
[3,5,4,1,2,7,6,8] => 0110010 => 2
[5,7,6,1,3,2,4,8] => 0110100 => 2
[5,3,4,1,2,7,6,8] => 1010010 => 3
[7,8,3,1,2,5,4,6] => 0110010 => 2
[7,8,5,1,3,2,4,6] => 0110100 => 2
[7,5,6,1,3,2,4,8] => 1010100 => 3
[7,5,1,3,8,6,2,4] => 1100110 => 2
[7,1,3,8,2,5,4,6] => 1001010 => 3
[3,1,5,4,7,2,6,8] => 1010100 => 3
[5,7,6,1,3,8,2,4] => 0110010 => 2
[5,7,6,3,8,1,4,2] => 0110101 => 2
[5,1,3,7,6,2,4,8] => 1001100 => 2
[1,6,3,7,2,4,5,8] => 0101000 => 2
[5,3,2,4,8,1,7,6] => 1100101 => 2
[6,8,5,3,2,7,1,4] => 0111010 => 2
[8,3,7,2,6,5,1,4] => 1010110 => 3
[4,6,2,7,1,3,8,5] => 0101001 => 2
[3,4,6,5,1,8,7,2] => 0011011 => 1
[8,7,1,5,3,2,6,4] => 1101101 => 2
[3,5,1,4,7,2,8,6] => 0100101 => 2
[5,1,4,8,7,3,2,6] => 1001110 => 2
[6,1,3,4,2,7,8,5] => 1001001 => 2
[6,5,2,3,7,8,1,4] => 1100010 => 2
[1,5,3,8,4,2,7,6] => 0101101 => 2
[5,4,2,1,8,3,7,6] => 1110101 => 2
[3,1,7,4,2,6,8,5] => 1011001 => 2
[7,4,8,2,3,5,1,6] => 1010010 => 3
[8,4,1,3,2,6,7,5] => 1101001 => 2
[8,1,7,3,2,5,6,4] => 1011001 => 2
[8,6,5,2,7,3,1,4] => 1110110 => 2
[3,1,6,8,4,2,7,5] => 1001101 => 2
[1,5,2,8,3,6,7,4] => 0101001 => 2
[2,3,4,5,9,6,7,8,1] => 00001001 => 1
[2,3,4,9,5,6,7,8,1] => 00010001 => 1
[2,3,9,4,5,6,7,8,1] => 00100001 => 1
[2,3,4,5,6,7,10,8,9,1] => 000000101 => 1
[2,3,4,5,9,7,6,8,1] => 00001101 => 1
[2,3,4,5,6,10,7,8,9,1] => 000001001 => 1
[2,3,4,9,6,5,7,8,1] => 00011001 => 1
[2,3,9,5,4,6,7,8,1] => 00110001 => 1
[2,3,4,10,5,6,7,8,9,1] => 000100001 => 1
[2,9,4,3,5,6,7,8,1] => 01100001 => 1
[2,3,10,4,5,6,7,8,9,1] => 001000001 => 1
[2,3,4,5,9,7,8,6,1] => 00001011 => 1
[5,6,2,3,7,4,1,8] => 0100110 => 2
[6,2,4,7,3,5,1,8] => 1001010 => 3
[1,4,8,5,3,6,7,2] => 0011001 => 1
[2,5,6,3,1,8,4,7] => 0011010 => 2
[4,5,1,2,7,8,6,3] => 0100011 => 1
[4,8,5,1,2,6,7,3] => 0110001 => 1
[4,6,7,5,1,2,8,3] => 0011001 => 1
[7,2,8,1,4,5,3,6] => 1010010 => 3
[6,1,4,7,3,8,2,5] => 1001010 => 3
[7,1,6,3,4,8,2,5] => 1010010 => 3
[2,8,4,6,3,1,5,7] => 0101100 => 2
[8,2,6,3,5,1,4,7] => 1010100 => 3
[3,7,4,1,5,8,2,6] => 0110010 => 2
[3,8,4,1,7,2,5,6] => 0110100 => 2
[6,7,5,1,3,8,2,4] => 0110010 => 2
[8,5,1,3,6,7,2,4] => 1100010 => 2
[7,8,6,2,4,1,3,5] => 0110100 => 2
[8,2,4,1,3,6,7,5] => 1010001 => 2
[8,1,3,6,2,5,7,4] => 1001001 => 2
[1,5,6,3,8,4,7,2] => 0010101 => 2
[5,6,1,3,7,2,8,4] => 0100101 => 2
[5,6,1,8,2,3,7,4] => 0101001 => 2
[5,6,1,2,8,4,7,3] => 0100101 => 2
[3,7,8,1,6,4,2,5] => 0010110 => 2
[1,7,8,6,3,4,2,5] => 0011010 => 2
[1,7,3,8,6,4,2,5] => 0101110 => 2
[5,7,1,8,6,4,2,3] => 0101110 => 2
[7,8,1,5,6,4,2,3] => 0100110 => 2
[7,1,8,5,6,4,2,3] => 1010110 => 3
[7,1,5,8,6,4,2,3] => 1001110 => 2
[8,1,3,5,6,4,2,7] => 1000110 => 2
[1,3,8,5,6,4,2,7] => 0010110 => 2
[1,3,5,8,6,4,2,7] => 0001110 => 1
[1,5,7,8,6,4,2,3] => 0001110 => 1
[3,2,4,1,6,5,8,7,10,9] => 101010101 => 4
[3,2,5,4,7,6,9,8,10,1] => 101010101 => 4
[3,2,5,4,7,6,9,8,11,10,12,1] => 10101010101 => 5
[1,8,2,6,5,3,4,7] => 0101100 => 2
[8,6,1,5,2,3,4,7] => 1101000 => 2
[8,5,1,6,2,3,4,7] => 1101000 => 2
[7,6,1,2,3,8,4,5] => 1100010 => 2
[2,7,8,4,1,3,5,6] => 0011000 => 1
[6,8,1,2,3,7,4,5] => 0100010 => 2
[8,1,3,5,6,7,2,4] => 1000010 => 2
[8,1,2,5,3,4,7,6] => 1001001 => 2
[5,2,7,3,4,8,1,6] => 1010010 => 3
[8,6,4,7,3,5,2,1] => 1101011 => 2
[4,2,1,6,5,7,8,3] => 1101001 => 2
[2,7,5,4,1,3,6,8] => 0111000 => 1
[2,7,4,6,5,1,8,3] => 0101101 => 2
[6,8,7,5,2,1,4,3] => 0111101 => 1
[2,8,6,3,5,1,4,7] => 0110100 => 2
[1,2,8,6,4,5,3,7] => 0011010 => 2
[1,5,8,7,6,3,4,2] => 0011101 => 1
[1,6,4,8,5,7,3,2] => 0101011 => 2
[1,6,8,5,2,7,3,4] => 0011010 => 2
[1,6,8,5,4,2,3,7] => 0011100 => 1
[2,1,8,3,4,5,6,7,9] => 10100000 => 2
[3,1,6,4,2,5,8,7] => 1011001 => 2
[5,4,2,3,6,8,1,7] => 1100010 => 2
[8,2,6,3,5,7,1,4] => 1010010 => 3
[3,1,7,8,6,2,5,4] => 1001101 => 2
[2,8,1,6,5,3,7,4] => 0101101 => 2
[2,1,5,7,6,3,8,4] => 1001101 => 2
[4,3,5,1,7,8,6,2] => 1010011 => 2
[1,8,5,2,3,4,7,6] => 0110001 => 1
[1,9,6,2,3,4,5,8,7] => 01100001 => 1
[1,5,8,2,3,4,7,6] => 0010001 => 1
[1,2,7,8,4,5,6,3] => 0001001 => 1
[1,2,3,4,5,6,9,7,10,8] => 000000101 => 1
[2,3,4,5,6,9,10,1,7,8] => 000000100 => 1
[4,3,8,7,6,2,5,1] => 1011101 => 2
[5,4,8,2,7,6,3,1] => 1010111 => 2
[2,3,6,1,7,5,8,4] => 0010101 => 2
[4,6,5,2,1,7,8,3] => 0111001 => 1
[4,6,1,7,5,8,3,2] => 0101011 => 2
[4,1,5,7,6,8,3,2] => 1001011 => 2
[3,5,6,2,1,4,7,8] => 0011000 => 1
[4,3,6,5,1,7,8,2] => 1011001 => 2
[4,6,5,3,1,7,8,2] => 0111001 => 1
[1,2,3,4,5,7,6,8,9,10] => 000001000 => 1
[1,2,3,5,4,6,7,8,9,10] => 000100000 => 1
[1,2,3,5,4,7,6,9,8,10] => 000101010 => 3
[5,8,1,4,2,3,6,7] => 0101000 => 2
[4,5,8,2,3,1,6,7] => 0010100 => 2
[3,5,4,8,1,7,2,6] => 0101010 => 3
[5,3,6,8,1,4,7,2] => 1001001 => 2
[3,5,1,8,6,4,7,2] => 0101101 => 2
[4,7,2,8,3,1,6,5] => 0101101 => 2
[1,2,5,6,8,3,7,4] => 0000101 => 1
[5,3,8,4,6,2,7,1] => 1010101 => 3
[7,4,8,1,5,2,6,3] => 1010101 => 3
[8,3,2,1,6,5,7,4] => 1110101 => 2
[4,1,5,6,8,7,2,3] => 1000110 => 2
[1,2,5,6,8,4,7,3] => 0000101 => 1
[1,5,6,8,4,7,2,3] => 0001010 => 2
[5,6,8,1,2,4,7,3] => 0010001 => 1
[6,8,1,4,5,7,2,3] => 0100010 => 2
[4,3,5,1,8,6,7,2] => 1010101 => 3
[1,3,5,6,8,4,7,2] => 0000101 => 1
[5,6,8,2,3,4,7,1] => 0010001 => 1
[9,8,7,4,5,6,3,2,1] => 11100111 => 1
[6,5,1,2,4,8,7,3] => 1100011 => 1
[5,8,7,2,1,3,6,4] => 0111001 => 1
[5,1,7,2,8,6,3,4] => 1010110 => 3
[6,1,5,3,4,8,7,2] => 1010011 => 2
[5,8,6,3,2,1,4,7] => 0111100 => 1
[8,7,1,6,3,5,4,2] => 1101011 => 2
[3,2,1,7,8,6,4,5] => 1100110 => 2
[8,6,7,1,2,5,3,4] => 1010010 => 3
[1,5,6,4,2,8,7,3] => 0011011 => 1
[7,5,1,4,8,2,3,6] => 1100100 => 2
[3,2,8,1,7,5,6,4] => 1010101 => 3
[8,4,3,1,7,5,6,2] => 1110101 => 2
[6,1,7,8,4,2,3,5] => 1001100 => 2
[7,4,3,1,8,5,2,6] => 1110110 => 2
[7,8,1,6,3,4,5,2] => 0101001 => 2
[6,8,1,7,3,4,2,5] => 0101010 => 3
[1,5,6,7,8,9,2,3,4] => 00000100 => 1
[1,8,9,10,2,3,4,5,6,7] => 000100000 => 1
[1,7,2,8,9,3,4,5,6] => 01001000 => 2
[1,6,2,7,8,9,3,4,5] => 01000100 => 2
[1,5,2,6,7,8,9,3,4] => 01000010 => 2
[1,5,6,7,8,9,10,2,3,4] => 000000100 => 1
[3,4,2,1,5,6,7,8,9] => 01100000 => 1
[4,3,1,2,5,6,7,8,9] => 11000000 => 1
[2,3,1,4,5,6,7,8,9,10,11] => 0100000000 => 1
[3,4,2,1,5,6,7,8,9,10] => 011000000 => 1
[4,5,2,1,3,6,7,8,9] => 01100000 => 1
[3,4,2,5,1,6,7,8,9] => 01010000 => 2
[5,3,1,2,4,6,7,8,9] => 11000000 => 1
[4,3,5,1,2,6,7,8,9] => 10100000 => 2
[4,3,1,2,5,6,7,8,9,10] => 110000000 => 1
[3,1,2,4,5,6,7,8,9,10,11] => 1000000000 => 1
[4,6,5,3,8,2,7,1] => 0110101 => 2
[4,5,6,3,8,1,7,2] => 0010101 => 2
[7,8,3,5,2,1,6,4] => 0101101 => 2
[6,3,7,5,2,4,1,8] => 1011010 => 3
[6,2,4,5,7,3,1,8] => 1000110 => 2
[7,8,1,5,6,4,3,2] => 0100111 => 1
[6,3,7,5,1,4,2,8] => 1011010 => 3
[1,3,8,2,4,6,7,5] => 0010001 => 1
[6,1,7,3,4,2,5,8] => 1010100 => 3
[3,1,7,2,5,8,6,4] => 1010011 => 2
[2,8,7,6,3,5,1,4] => 0111010 => 2
[2,8,7,1,5,6,4,3] => 0110011 => 1
[3,5,6,2,8,1,7,4] => 0010101 => 2
[5,3,1,8,6,2,7,4] => 1101101 => 2
[3,1,4,6,8,2,7,5] => 1000101 => 2
[4,1,5,7,3,8,2,6] => 1001010 => 3
[6,2,5,8,4,7,3,1] => 1001011 => 2
[7,2,8,5,4,3,6,1] => 1011101 => 2
[7,1,6,8,2,5,3,4] => 1001010 => 3
[2,6,5,7,8,4,1,3] => 0100110 => 2
[3,6,5,7,4,1,8,2] => 0101101 => 2
[1,6,5,7,4,2,3,8] => 0101100 => 2
[3,4,7,5,2,1,8,6] => 0011101 => 1
[3,6,7,5,8,4,1,2] => 0010110 => 2
[3,4,7,2,5,6,8,1] => 0010001 => 1
[2,5,3,7,8,6,4,1] => 0100111 => 1
[7,2,8,4,5,6,3,1] => 1010011 => 2
[6,2,3,8,5,4,7,1] => 1001101 => 2
[5,4,3,1,2,6,7,8,9] => 11100000 => 1
[6,5,4,3,1,2,7,8,9] => 11110000 => 1
[8,5,4,3,9,1,2,6,7] => 11101000 => 2
[6,5,4,3,1,2,7,8,9,10] => 111100000 => 1
[7,6,5,4,3,1,2,8,9,10] => 111110000 => 1
[9,6,5,4,3,10,1,2,7,8] => 111101000 => 2
[6,8,7,3,2,4,5,1] => 0111001 => 1
[3,8,6,1,4,5,7,2] => 0110001 => 1
[7,5,8,6,4,1,3,2] => 1011101 => 2
[2,7,6,3,8,5,1,4] => 0110110 => 2
[2,3,1,8,4,6,5,7] => 0101010 => 3
[2,3,1,7,6,8,4,5] => 0101010 => 3
[2,3,1,8,4,6,7,5] => 0101001 => 2
[6,2,3,4,5,1,9,7,8] => 10001010 => 3
[4,2,3,5,1,8,6,7] => 1001010 => 3
[2,3,4,5,9,7,1,8,6] => 00001101 => 1
[2,3,4,9,6,7,1,8,5] => 00010101 => 2
[2,3,9,5,6,1,7,8,4] => 00101001 => 2
[2,3,9,5,1,7,4,8,6] => 00110101 => 2
[2,3,4,5,6,7,10,9,1,8] => 000000110 => 1
[2,3,4,5,6,10,8,9,1,7] => 000001010 => 2
[2,3,4,5,6,10,8,1,9,7] => 000001101 => 1
[2,3,4,5,6,10,8,1,7,9] => 000001100 => 1
[2,3,4,5,6,10,1,7,8,9] => 000001000 => 1
[2,3,4,5,10,7,8,9,1,6] => 000010010 => 2
[2,3,4,5,10,7,8,1,9,6] => 000010101 => 2
[2,3,4,5,10,7,8,1,6,9] => 000010100 => 2
[2,3,4,5,10,7,1,9,6,8] => 000011010 => 2
[2,3,4,5,10,7,1,6,8,9] => 000011000 => 1
[2,3,4,5,10,1,6,7,8,9] => 000010000 => 1
[2,3,4,10,6,7,8,1,9,5] => 000100101 => 2
[2,3,4,10,6,7,8,1,5,9] => 000100100 => 2
[2,3,4,10,6,7,1,8,9,5] => 000101001 => 2
[2,3,4,10,6,7,1,9,5,8] => 000101010 => 3
[2,3,4,10,6,7,1,5,8,9] => 000101000 => 2
[2,3,4,10,6,1,8,5,9,7] => 000110101 => 2
[2,3,4,10,6,1,8,5,7,9] => 000110100 => 2
[2,3,4,10,6,1,5,7,8,9] => 000110000 => 1
[2,3,4,10,1,5,6,7,8,9] => 000100000 => 1
[2,3,10,5,6,1,8,9,4,7] => 001010010 => 3
[2,3,10,5,6,1,8,4,9,7] => 001010101 => 3
[2,3,10,5,6,1,8,4,7,9] => 001010100 => 3
[2,3,10,5,6,1,4,7,8,9] => 001010000 => 2
[2,3,10,5,1,7,4,9,6,8] => 001101010 => 3
[2,3,10,5,1,7,4,6,8,9] => 001101000 => 2
[2,3,10,5,1,4,6,7,8,9] => 001100000 => 1
[2,10,4,1,6,3,8,5,9,7] => 011010101 => 3
[2,10,4,1,6,3,8,5,7,9] => 011010100 => 3
[2,10,4,1,6,3,5,7,8,9] => 011010000 => 2
[2,10,4,1,3,5,6,7,8,9] => 011000000 => 1
[5,8,7,2,6,4,1,3] => 0110110 => 2
[6,8,5,1,7,4,3,2] => 0110111 => 1
[6,8,5,2,7,4,1,3] => 0110110 => 2
[7,3,8,6,5,2,1,4] => 1011110 => 2
[7,5,8,1,6,4,3,2] => 1010111 => 2
[7,5,8,2,6,4,1,3] => 1010110 => 3
[6,3,2,8,1,7,5,4] => 1101011 => 2
[2,1,3,4,5,6,8,7,9] => 10000010 => 2
[2,3,4,5,6,8,7,9,1] => 00000101 => 1
[2,6,8,7,1,3,5,4] => 0011001 => 1
[5,3,8,7,6,2,1,4] => 1011110 => 2
[3,7,6,1,4,5,2,8] => 0110010 => 2
[4,1,6,2,7,5,3,8] => 1010110 => 3
[7,6,2,5,3,1,4,8] => 1101100 => 2
[4,3,1,7,6,2,5,8] => 1101100 => 2
[4,5,3,1,2,8,6,7] => 0110010 => 2
[2,4,5,3,1,8,6,7] => 0011010 => 2
[5,7,6,2,3,1,4,8] => 0110100 => 2
[4,1,3,7,5,2,6,8] => 1001100 => 2
[4,1,6,3,2,7,5,8] => 1011010 => 3
[7,5,4,1,3,2,6,8] => 1110100 => 2
[2,4,8,5,6,3,1,7] => 0010110 => 2
[2,5,7,4,1,3,6,8] => 0011000 => 1
[5,7,4,1,3,2,6,8] => 0110100 => 2
[2,6,8,4,5,3,1,7] => 0010110 => 2
[5,2,3,7,4,1,6,8] => 1001100 => 2
[4,5,1,6,3,2,7,8] => 0101100 => 2
[5,1,6,3,2,4,7,8] => 1011000 => 2
[4,2,5,1,6,3,7,8] => 1010100 => 3
[5,1,6,2,4,3,7,8] => 1010100 => 3
[5,3,4,8,7,6,2,1] => 1001111 => 1
[8,3,1,6,7,5,4,2] => 1100111 => 1
[8,4,6,5,7,2,3,1] => 1010101 => 3
[1,8,2,6,7,4,5,3] => 0100101 => 2
[8,5,7,2,4,3,6,1] => 1010101 => 3
[8,5,3,6,4,7,2,1] => 1101011 => 2
[8,2,5,3,6,7,4,1] => 1010011 => 2
[1,2,8,3,4,7,6,5] => 0010011 => 1
[6,8,5,2,7,1,3,4] => 0110100 => 2
[7,6,4,5,2,1,8,3] => 1101101 => 2
[8,2,4,7,6,3,1,5] => 1001110 => 2
[7,3,8,5,4,2,1,6] => 1011110 => 2
[6,3,4,7,2,8,5,1] => 1001011 => 2
[8,1,7,3,6,4,2,5] => 1010110 => 3
[7,1,8,5,3,4,2,6] => 1011010 => 3
[6,8,4,3,1,5,2,7] => 0111010 => 2
[1,4,5,8,3,2,6,7] => 0001100 => 1
[1,5,2,4,7,8,6,3] => 0100011 => 1
[5,2,7,4,3,8,6,1] => 1011011 => 2
[2,7,3,4,8,5,6,1] => 0100101 => 2
[2,7,6,8,3,5,4,1] => 0101011 => 2
[2,7,4,5,3,8,6,1] => 0101011 => 2
[6,2,3,7,4,5,8,1] => 1001001 => 2
[1,6,3,2,7,5,8,4] => 0110101 => 2
[7,3,5,2,6,8,1,4] => 1010010 => 3
[6,4,2,7,1,5,8,3] => 1101001 => 2
[2,5,3,6,4,7,8,1] => 0101001 => 2
[4,2,5,3,6,7,8,1] => 1010001 => 2
[1,6,5,2,4,7,3,8] => 0110010 => 2
[1,8,7,2,4,6,3,5] => 0110010 => 2
[1,8,7,2,5,4,3,6] => 0110110 => 2
[1,5,4,2,7,3,6,8] => 0110100 => 2
[1,5,4,2,8,7,3,6] => 0110110 => 2
[1,6,8,3,5,2,4,7] => 0010100 => 2
[1,7,6,2,3,5,8,4] => 0110001 => 1
[1,2,8,3,6,5,4,7] => 0010110 => 2
[1,3,8,6,5,2,4,7] => 0011100 => 1
[1,4,7,3,2,8,6,5] => 0011011 => 1
[1,8,6,5,2,4,7,3] => 0111001 => 1
[1,6,8,4,3,2,5,7] => 0011100 => 1
[1,7,5,3,2,6,4,8] => 0111010 => 2
[1,2,6,5,3,8,4,7] => 0011010 => 2
[1,7,3,2,8,4,6,5] => 0110101 => 2
[1,6,5,2,8,4,7,3] => 0110101 => 2
[1,8,3,7,2,4,6,5] => 0101001 => 2
[5,4,2,8,7,6,1,3] => 1101110 => 2
[8,6,3,2,5,7,4,1] => 1110011 => 1
[7,3,2,1,6,5,8,4] => 1110101 => 2
[7,3,2,6,1,5,8,4] => 1101001 => 2
[6,8,5,2,7,1,4,3] => 0110101 => 2
[6,8,2,5,1,7,4,3] => 0101011 => 2
[6,8,5,7,2,1,4,3] => 0101101 => 2
[6,5,8,2,7,4,1,3] => 1010110 => 3
[6,2,1,7,5,8,4,3] => 1101011 => 2
[1,6,4,8,5,3,7,2] => 0101101 => 2
[1,6,5,3,4,7,8,2] => 0110001 => 1
[4,2,6,7,8,1,3,5] => 1000100 => 2
[4,6,5,1,3,7,8,2] => 0110001 => 1
[5,1,7,2,6,4,8,3] => 1010101 => 3
[4,1,7,6,5,8,2,3] => 1011010 => 3
[5,2,1,7,6,4,8,3] => 1101101 => 2
[4,2,3,6,7,8,1,5] => 1000010 => 2
[4,7,2,1,6,5,8,3] => 0110101 => 2
[2,7,6,4,1,5,8,3] => 0111001 => 1
[2,4,3,6,7,8,1,5] => 0100010 => 2
[6,8,5,2,7,3,1,4] => 0110110 => 2
[7,5,2,4,1,8,3,6] => 1101010 => 3
[6,5,1,3,7,8,2,4] => 1100010 => 2
[7,2,1,4,3,5,8,6] => 1101001 => 2
[6,1,2,4,3,7,8,5] => 1001001 => 2
[8,1,5,4,2,3,6,7] => 1011000 => 2
[7,1,2,4,6,3,8,5] => 1000101 => 2
[7,1,2,6,5,3,8,4] => 1001101 => 2
[7,5,6,1,2,4,8,3] => 1010001 => 2
[7,1,4,5,2,3,6,8] => 1001000 => 2
[6,1,4,8,7,2,3,5] => 1001100 => 2
[6,1,8,5,7,2,3,4] => 1010100 => 3
[1,6,7,5,8,3,4,2] => 0010101 => 2
[6,1,7,5,8,2,3,4] => 1010100 => 3
[6,1,4,7,8,2,3,5] => 1000100 => 2
[8,1,2,3,7,5,4,6] => 1000110 => 2
[5,8,6,1,2,4,7,3] => 0110001 => 1
[1,6,8,7,5,3,4,2] => 0011101 => 1
[6,1,8,7,5,2,3,4] => 1011100 => 2
[8,3,1,2,4,6,5,7] => 1100010 => 2
[8,3,1,2,4,5,7,6] => 1100001 => 1
[6,3,1,2,4,7,5,8] => 1100010 => 2
[6,7,1,4,2,3,5,8] => 0101000 => 2
[6,1,7,4,8,2,3,5] => 1010100 => 3
[6,7,8,5,1,2,4,3] => 0011001 => 1
[8,6,5,4,3,2,7,9,1] => 11111001 => 1
[8,9,5,4,3,2,1,6,7] => 01111100 => 1
[7,6,5,4,3,8,9,1,2] => 11110010 => 2
[9,6,5,4,3,2,7,1,8] => 11111010 => 2
[8,7,6,5,4,3,2,9,1,10] => 111111010 => 2
[9,2,3,4,5,6,1,7,8] => 10000100 => 2
[3,1,5,6,7,8,9,2,4] => 10000010 => 2
[2,1,3,5,6,7,8,9,4] => 10000001 => 1
[4,3,8,5,6,2,7,1] => 1010101 => 3
[4,3,8,6,7,2,5,1] => 1010101 => 3
[7,6,8,1,5,3,4,2] => 1010101 => 3
[7,4,6,1,5,3,8,2] => 1010101 => 3
[6,3,8,1,7,2,5,4] => 1010101 => 3
[6,1,5,4,8,2,7,3] => 1010101 => 3
[6,2,5,4,7,1,8,3] => 1010101 => 3
[2,6,3,4,8,7,5,1] => 0100111 => 1
[2,7,4,5,1,8,3,6] => 0101010 => 3
[8,4,5,7,6,1,2,3] => 1001100 => 2
[8,4,5,7,1,3,6,2] => 1001001 => 2
[8,1,3,4,6,7,5,2] => 1000011 => 1
[8,7,6,2,3,5,4,1] => 1110011 => 1
[8,3,6,7,5,1,2,4] => 1001100 => 2
[8,2,1,6,5,7,4,3] => 1101011 => 2
[2,7,1,8,5,6,4,3] => 0101011 => 2
[2,7,8,6,1,5,3,4] => 0011010 => 2
[4,6,8,2,3,5,1,7] => 0010010 => 2
[6,8,2,1,3,5,4,7] => 0110010 => 2
[3,5,1,6,4,8,2,7] => 0101010 => 3
[3,5,8,6,2,1,4,7] => 0011100 => 1
[2,4,8,5,6,1,3,7] => 0010100 => 2
[4,8,2,5,6,1,3,7] => 0100100 => 2
[5,3,8,4,2,7,6,1] => 1011011 => 2
[2,8,5,3,1,4,7,6] => 0111001 => 1
[1,7,8,4,6,3,2,5] => 0010110 => 2
[8,7,2,4,6,3,1,5] => 1100110 => 2
[8,7,3,2,1,6,4,5] => 1111010 => 2
[7,8,3,4,6,5,2,1] => 0100111 => 1
[8,7,3,6,5,2,4,1] => 1101101 => 2
[3,1,2,8,6,5,7,4] => 1001101 => 2
[3,8,2,7,5,4,6,1] => 0101101 => 2
[8,7,1,4,5,3,6,2] => 1100101 => 2
[2,8,7,4,6,3,5,1] => 0110101 => 2
[2,8,7,4,6,3,1,5] => 0110110 => 2
[8,3,4,1,2,5,7,6] => 1010001 => 2
[8,4,1,3,2,5,7,6] => 1101001 => 2
[7,3,8,6,2,1,4,5] => 1011100 => 2
[7,2,8,4,6,5,1,3] => 1010110 => 3
[5,8,6,4,7,2,3,1] => 0110101 => 2
[4,7,2,6,5,8,3,1] => 0101011 => 2
[3,6,8,5,7,4,2,1] => 0010111 => 1
[6,7,5,2,4,8,3,1] => 0110011 => 1
[8,1,2,7,5,6,3,4] => 1001010 => 3
[8,2,7,3,4,6,1,5] => 1010010 => 3
[6,7,5,4,8,1,3,2] => 0110101 => 2
[8,3,5,6,4,7,2,1] => 1001011 => 2
[8,5,6,2,4,3,7,1] => 1010101 => 3
[6,5,8,1,3,4,2,7] => 1010010 => 3
[6,8,4,5,1,3,2,7] => 0101010 => 3
[6,4,8,7,5,3,2,1] => 1011111 => 1
[6,7,1,4,3,2,8,5] => 0101101 => 2
[7,2,5,1,4,8,3,6] => 1010010 => 3
[5,8,1,3,4,2,7,6] => 0100101 => 2
[1,5,6,3,2,8,7,4] => 0011011 => 1
[1,3,7,6,8,4,2,5] => 0010110 => 2
[1,6,7,3,2,8,5,4] => 0011011 => 1
[3,2,7,6,8,4,5,1] => 1010101 => 3
[1,3,8,5,2,7,6,4] => 0011011 => 1
[6,4,1,5,2,8,7,3] => 1101011 => 2
[7,6,5,3,1,8,2,4] => 1111010 => 2
[2,5,1,4,7,3,6,8] => 0100100 => 2
[3,1,6,5,7,2,4,8] => 1010100 => 3
[2,6,1,5,7,4,8,3] => 0100101 => 2
[2,5,7,1,6,3,8,4] => 0010101 => 2
[2,6,1,5,7,4,3,8] => 0100110 => 2
[3,1,6,5,2,4,7,8] => 1011000 => 2
[3,6,5,1,4,2,7,8] => 0110100 => 2
[3,6,5,1,7,2,4,8] => 0110100 => 2
[3,6,5,2,1,4,7,8] => 0111000 => 1
[5,4,3,6,1,7,2,8] => 1101010 => 3
[4,5,2,7,6,1,3,8] => 0101100 => 2
[4,6,5,3,1,2,7,8] => 0111000 => 1
[5,4,1,6,3,7,2,8] => 1101010 => 3
[5,4,2,6,3,7,8,1] => 1101001 => 2
[3,6,5,7,1,4,2,8] => 0101010 => 3
[3,6,5,1,4,7,2,8] => 0110010 => 2
[4,3,6,5,7,1,2,8] => 1010100 => 3
[4,2,6,5,1,3,7,8] => 1011000 => 2
[4,1,6,5,3,7,8,2] => 1011001 => 2
[4,2,5,7,6,1,3,8] => 1001100 => 2
[3,4,7,6,1,2,5,8] => 0011000 => 1
[4,2,5,7,6,3,8,1] => 1001101 => 2
[4,1,6,5,2,7,3,8] => 1011010 => 3
[3,6,5,7,2,1,4,8] => 0101100 => 2
[3,5,7,6,2,4,1,8] => 0011010 => 2
[5,4,2,6,3,7,1,8] => 1101010 => 3
[4,6,5,2,7,3,1,8] => 0110110 => 2
[4,6,5,2,1,7,3,8] => 0111010 => 2
[3,5,8,2,1,4,6,7] => 0011000 => 1
[3,5,8,2,4,6,7,1] => 0010001 => 1
[5,3,8,2,1,4,6,7] => 1011000 => 2
[5,3,1,8,2,4,6,7] => 1101000 => 2
[5,1,3,8,2,4,6,7] => 1001000 => 2
[1,5,8,4,2,3,6,7] => 0011000 => 1
[5,8,2,1,4,3,6,7] => 0110100 => 2
[5,8,2,4,1,6,7,3] => 0101001 => 2
[5,8,2,4,6,3,1,7] => 0100110 => 2
[5,8,2,4,3,6,1,7] => 0101010 => 3
[5,8,1,4,6,2,3,7] => 0100100 => 2
[1,5,8,4,6,7,2,3] => 0010010 => 2
[5,1,8,4,6,7,2,3] => 1010010 => 3
[5,8,2,4,6,3,7,1] => 0100101 => 2
[3,8,4,6,7,2,1,5] => 0100110 => 2
[3,8,4,6,7,2,5,1] => 0100101 => 2
[8,4,3,6,7,2,5,1] => 1100101 => 2
[8,4,3,6,7,2,1,5] => 1100110 => 2
[8,6,2,4,5,3,7,1] => 1100101 => 2
[1,8,6,4,5,7,2,3] => 0110010 => 2
[8,6,2,4,5,3,1,7] => 1100110 => 2
[1,8,6,4,2,3,5,7] => 0111000 => 1
[3,8,1,6,2,4,5,7] => 0101000 => 2
[3,8,6,2,1,4,5,7] => 0111000 => 1
[3,8,6,2,4,1,5,7] => 0110100 => 2
[3,8,6,2,4,5,7,1] => 0110001 => 1
[8,3,6,2,4,5,1,7] => 1010010 => 3
[8,1,3,6,2,4,5,7] => 1001000 => 2
[8,3,6,7,2,1,4,5] => 1001100 => 2
[3,8,6,7,2,1,4,5] => 0101100 => 2
[8,2,6,4,5,1,7,3] => 1010101 => 3
[1,8,4,6,7,5,2,3] => 0100110 => 2
[8,4,6,2,3,7,5,1] => 1010011 => 2
[8,4,7,2,1,3,6,5] => 1011001 => 2
[2,7,1,6,3,5,8,4] => 0101001 => 2
[8,4,2,1,5,3,7,6] => 1110101 => 2
[8,2,1,4,7,3,6,5] => 1100101 => 2
[1,6,2,5,8,4,7,3] => 0100101 => 2
[3,2,1,7,4,5,8,6] => 1101001 => 2
[2,6,8,5,1,7,4,3] => 0011011 => 1
[2,1,5,8,7,3,6,4] => 1001101 => 2
[3,2,1,6,7,4,8,5] => 1100101 => 2
[4,3,1,7,8,5,2,6] => 1100110 => 2
[5,6,8,2,4,3,7,1] => 0010101 => 2
[2,8,5,3,6,4,7,1] => 0110101 => 2
[1,2,8,6,4,7,3,5] => 0011010 => 2
[5,3,2,7,8,6,4,1] => 1100111 => 1
[4,2,7,8,3,5,6,1] => 1001001 => 2
[2,8,3,7,1,4,6,5] => 0101001 => 2
[2,8,7,1,5,3,6,4] => 0110101 => 2
[7,3,5,6,4,2,8,1] => 1001101 => 2
[3,8,4,2,7,6,5,1] => 0110111 => 1
[4,8,3,2,7,5,6,1] => 0110101 => 2
[3,2,4,8,7,5,6,1] => 1001101 => 2
[2,6,8,1,5,3,4,7] => 0010100 => 2
[3,2,5,6,8,1,4,7] => 1000100 => 2
[3,8,1,6,4,5,2,7] => 0101010 => 3
[8,1,3,6,5,4,2,7] => 1001110 => 2
[7,4,3,6,2,1,8,5] => 1101101 => 2
[1,2,4,8,6,3,7,5] => 0001101 => 1
[7,2,1,5,3,4,8,6] => 1101001 => 2
[5,7,2,3,1,4,8,6] => 0101001 => 2
[7,1,5,2,4,6,8,3] => 1010001 => 2
[8,4,2,7,3,5,6,1] => 1101001 => 2
[1,8,6,4,7,5,3,2] => 0110111 => 1
[7,4,1,5,8,6,3,2] => 1100111 => 1
[4,5,8,7,3,1,2,6] => 0011100 => 1
[1,3,8,7,6,4,2,5] => 0011110 => 1
[2,8,5,1,7,4,6,3] => 0110101 => 2
[1,8,6,4,7,5,2,3] => 0110110 => 2
[2,7,4,6,3,8,5,1] => 0101011 => 2
[1,2,8,6,4,7,5,3] => 0011011 => 1
[3,4,5,7,8,9,1,2,6] => 00000100 => 1
[3,5,6,7,8,9,1,2,4] => 00000100 => 1
[3,4,5,6,8,9,10,1,2,7] => 000000100 => 1
[3,5,6,7,8,9,10,1,2,4] => 000000100 => 1
[3,4,5,6,7,8,9,10,1,2,11] => 0000000100 => 1
[3,4,5,6,7,8,1,2,9,10] => 000001000 => 1
[3,4,5,6,9,1,2,7,8] => 00001000 => 1
[3,4,5,6,1,2,7,8,9] => 00010000 => 1
[3,4,5,6,7,9,10,11,1,2,8] => 0000000100 => 1
[5,1,6,7,8,9,2,3,4] => 10000100 => 2
[3,4,6,7,8,9,10,11,1,2,5] => 0000000100 => 1
[4,1,8,6,3,7,5,2] => 1011011 => 2
[8,4,3,1,6,2,5,7] => 1110100 => 2
[7,5,4,3,8,1,6,2] => 1110101 => 2
[5,3,1,6,2,8,7,4] => 1101011 => 2
[3,5,4,1,7,8,2,6] => 0110010 => 2
[6,4,2,1,5,7,3,8] => 1110010 => 2
[3,1,5,8,7,2,4,6] => 1001100 => 2
[3,2,5,7,8,4,6,1] => 1000101 => 2
[5,3,7,4,2,6,8,1] => 1011001 => 2
[5,3,7,4,2,6,1,8] => 1011010 => 3
[5,3,8,4,2,1,6,7] => 1011100 => 2
[5,2,8,4,3,1,6,7] => 1011100 => 2
[5,1,8,4,3,2,6,7] => 1011100 => 2
[5,2,7,4,3,6,1,8] => 1011010 => 3
[5,2,7,4,3,6,8,1] => 1011001 => 2
[5,3,7,4,1,6,8,2] => 1011001 => 2
[3,1,5,7,8,4,6,2] => 1000101 => 2
[3,1,5,7,8,4,2,6] => 1000110 => 2
[5,2,7,4,1,3,8,6] => 1011001 => 2
[6,2,3,7,4,8,5,1] => 1001011 => 2
[6,2,3,7,4,8,1,5] => 1001010 => 3
[6,2,3,7,4,5,1,8] => 1001010 => 3
[6,1,3,7,4,5,8,2] => 1001001 => 2
[1,2,8,6,4,3,5,7] => 0011100 => 1
[6,1,3,7,4,5,2,8] => 1001010 => 3
[1,8,6,3,5,4,2,7] => 0110110 => 2
[2,6,1,8,5,3,4,7] => 0101100 => 2
[4,5,7,8,1,6,3,2] => 0001011 => 1
[2,5,7,8,4,6,3,1] => 0001011 => 1
[1,8,2,7,5,3,4,6] => 0101100 => 2
[2,5,4,1,8,6,7,3] => 0110101 => 2
[7,3,5,1,4,8,6,2] => 1010011 => 2
[7,1,3,2,4,5,6,8] => 1010000 => 2
[3,8,7,1,4,2,5,6] => 0110100 => 2
[5,1,7,8,2,4,3,6] => 1001010 => 3
[8,5,4,6,1,7,3,2] => 1101011 => 2
[5,3,2,1,4,6,8,7] => 1110001 => 1
[5,3,2,4,8,1,6,7] => 1100100 => 2
[5,3,2,4,7,1,8,6] => 1100101 => 2
[4,8,1,7,3,5,6,2] => 0101001 => 2
[5,3,2,4,6,8,1,7] => 1100010 => 2
[1,2,4,3,5,7,8,9,6] => 00100001 => 1
[2,7,6,3,1,4,8,5] => 0111001 => 1
[3,7,4,5,6,8,2,1] => 0100011 => 1
[8,7,1,4,2,5,3,6] => 1101010 => 3
[4,6,8,3,7,1,5,2] => 0010101 => 2
[4,7,3,5,8,1,6,2] => 0100101 => 2
[8,4,3,5,7,1,6,2] => 1100101 => 2
[1,7,6,4,2,5,3,8] => 0111010 => 2
[7,6,4,2,8,3,1,5] => 1110110 => 2
[8,5,2,4,3,7,1,6] => 1101010 => 3
[8,5,1,4,3,7,6,2] => 1101011 => 2
[7,5,4,1,3,6,8,2] => 1110001 => 1
[3,6,7,2,5,1,8,4] => 0010101 => 2
[2,6,5,7,1,4,8,3] => 0101001 => 2
[3,5,1,7,8,4,6,2] => 0100101 => 2
[1,5,2,4,6,8,7,3] => 0100011 => 1
[8,1,2,4,7,6,5,3] => 1000111 => 1
[3,4,1,8,6,7,5,2] => 0101011 => 2
[4,3,8,5,1,7,6,2] => 1011011 => 2
[6,1,3,2,8,5,7,4] => 1010101 => 3
[3,1,2,4,5,6,7,9,8] => 10000001 => 1
[8,5,3,2,4,7,1,6] => 1110010 => 2
[6,7,4,2,5,8,3,1] => 0110011 => 1
[8,5,4,2,6,3,1,7] => 1110110 => 2
[8,5,2,1,6,4,3,7] => 1110110 => 2
[8,4,6,5,1,3,2,7] => 1011010 => 3
[1,3,8,4,7,5,2,6] => 0010110 => 2
[5,3,7,1,4,6,8,2] => 1010001 => 2
[5,7,2,6,1,4,8,3] => 0101001 => 2
[3,8,5,7,6,1,2,4] => 0101100 => 2
[8,4,7,5,2,1,3,6] => 1011100 => 2
[3,8,6,4,7,2,1,5] => 0110110 => 2
[5,2,7,4,6,8,3,1] => 1010011 => 2
[4,8,6,3,7,2,1,5] => 0110110 => 2
[2,8,3,1,7,6,4,5] => 0110110 => 2
[2,5,6,4,8,1,7,3] => 0010101 => 2
[5,7,2,1,6,8,3,4] => 0110010 => 2
[4,7,8,5,1,6,2,3] => 0011010 => 2
[4,5,2,1,6,7,8,3] => 0110001 => 1
[4,5,6,3,1,7,8,2] => 0011001 => 1
[3,5,6,7,4,1,8,2] => 0001101 => 1
[3,5,1,4,2,8,7,6] => 0101011 => 2
[3,5,1,4,2,6,8,7] => 0101001 => 2
[3,5,1,4,2,6,7,8] => 0101000 => 2
[1,3,8,4,6,2,5,7] => 0010100 => 2
[1,8,4,2,3,7,5,6] => 0110010 => 2
[1,4,8,3,2,7,6,5] => 0011011 => 1
[1,3,7,6,5,2,4,8] => 0011100 => 1
[1,2,8,6,7,5,4,3] => 0010111 => 1
[1,7,5,4,3,2,6,8] => 0111100 => 1
[8,9,10,1,5,6,7,3,4,2] => 001000101 => 2
[8,9,10,5,6,7,1,3,4,2] => 001001001 => 2
[8,9,10,1,5,6,3,4,7,2] => 001001001 => 2
[8,9,10,5,6,1,3,4,7,2] => 001010001 => 2
[8,9,10,5,6,3,4,7,1,2] => 001010010 => 3
[8,9,5,6,10,1,3,4,7,2] => 010010001 => 2
[8,9,5,6,10,3,4,7,1,2] => 010010010 => 3
[8,9,10,1,5,6,7,3,2,4] => 001000110 => 2
[8,9,10,5,6,7,1,3,2,4] => 001001010 => 3
[8,9,10,1,5,6,3,7,2,4] => 001001010 => 3
[8,9,10,5,6,1,3,7,2,4] => 001010010 => 3
[8,9,10,5,6,3,7,1,2,4] => 001010100 => 3
[8,9,5,6,10,1,3,7,2,4] => 010010010 => 3
[8,9,5,6,10,3,7,1,2,4] => 010010100 => 3
[8,9,10,1,5,6,3,2,4,7] => 001001100 => 2
[8,9,10,5,6,1,3,2,4,7] => 001010100 => 3
[8,9,10,5,6,3,1,2,4,7] => 001011000 => 2
[8,9,10,5,6,3,2,4,7,1] => 001011001 => 2
[8,9,5,6,10,1,3,2,4,7] => 010010100 => 3
[8,9,5,6,10,3,1,2,4,7] => 010011000 => 2
[8,9,5,6,10,3,2,4,7,1] => 010011001 => 2
[8,9,10,1,5,3,6,7,2,4] => 001010010 => 3
[8,9,10,5,1,3,6,7,2,4] => 001100010 => 2
[8,9,10,5,3,6,7,1,2,4] => 001100100 => 2
[8,9,5,10,1,3,6,7,2,4] => 010100010 => 3
[8,9,5,10,3,6,7,1,2,4] => 010100100 => 3
[8,9,10,1,5,3,6,2,4,7] => 001010100 => 3
[8,9,10,5,1,3,6,2,4,7] => 001100100 => 2
[8,9,10,5,3,6,1,2,4,7] => 001101000 => 2
[8,9,10,5,3,6,2,4,7,1] => 001101001 => 2
[8,9,5,10,1,3,6,2,4,7] => 010100100 => 3
[8,9,5,10,3,6,1,2,4,7] => 010101000 => 3
[8,9,5,10,3,6,2,4,7,1] => 010101001 => 3
[8,9,5,3,6,10,1,2,4,7] => 011001000 => 2
[8,9,5,3,6,10,2,4,7,1] => 011001001 => 2
[8,5,9,10,1,3,6,7,2,4] => 100100010 => 3
[8,5,9,10,3,6,7,1,2,4] => 100100100 => 3
[8,5,9,10,1,3,6,2,4,7] => 100100100 => 3
[8,5,9,10,3,6,1,2,4,7] => 100101000 => 3
[8,5,9,10,3,6,2,4,7,1] => 100101001 => 3
[3,8,5,7,4,6,2,1] => 0101011 => 2
[7,6,3,2,5,1,8,4] => 1110101 => 2
[4,2,5,7,8,6,3,1] => 1000111 => 1
[6,7,2,4,5,1,8,3] => 0100101 => 2
[5,2,7,8,3,6,1,4] => 1001010 => 3
[2,4,7,8,1,3,6,5] => 0001001 => 1
[8,5,1,2,3,7,4,6] => 1100010 => 2
[5,2,8,3,1,4,7,6] => 1011001 => 2
[8,7,2,5,1,4,3,6] => 1101010 => 3
[8,4,1,3,2,7,6,5] => 1101011 => 2
[8,3,5,1,2,4,7,6] => 1010001 => 2
[8,6,5,1,7,4,2,3] => 1110110 => 2
[8,7,4,5,1,2,6,3] => 1101001 => 2
[3,8,6,2,7,1,5,4] => 0110101 => 2
[3,4,8,2,1,7,6,5] => 0011011 => 1
[3,8,4,2,1,7,6,5] => 0111011 => 1
[8,3,1,7,5,6,2,4] => 1101010 => 3
[8,4,1,7,5,2,6,3] => 1101101 => 2
[8,4,2,7,5,3,1,6] => 1101110 => 2
[8,4,3,7,5,1,2,6] => 1101100 => 2
[8,5,7,6,4,3,1,2] => 1011110 => 2
[8,4,7,6,5,2,1,3] => 1011110 => 2
[8,3,1,4,7,6,2,5] => 1100110 => 2
[8,3,5,7,6,2,4,1] => 1001101 => 2
[1,4,6,8,2,5,7,3] => 0001001 => 1
[3,6,2,4,8,1,7,5] => 0100101 => 2
[7,3,8,2,4,6,1,5] => 1010010 => 3
[1,5,2,6,8,3,7,4] => 0100101 => 2
[4,5,3,1,8,2,6,7] => 0110100 => 2
[7,2,8,4,1,3,5,6] => 1011000 => 2
[6,1,7,3,2,8,4,5] => 1011010 => 3
[6,2,1,7,3,8,4,5] => 1101010 => 3
[5,8,2,1,3,4,6,7] => 0110000 => 1
[4,2,5,1,8,3,6,7] => 1010100 => 3
[7,4,2,8,3,1,5,6] => 1101100 => 2
[7,4,2,8,3,5,1,6] => 1101010 => 3
[6,7,8,5,2,1,4,3] => 0011101 => 1
[1,6,2,7,8,4,3,5] => 0100110 => 2
[10,1,9,5,6,7,8,2,3,4] => 101000100 => 3
[9,1,10,8,6,7,2,3,4,5] => 101101000 => 3
[8,1,9,10,7,2,3,4,5,6] => 100110000 => 2
[10,1,8,9,2,3,4,5,6,7] => 100100000 => 2
[3,1,10,9,6,7,8,2,4,5] => 101100100 => 3
[3,1,9,10,8,7,2,4,5,6] => 100111000 => 2
[3,1,8,9,10,2,4,5,6,7] => 100010000 => 2
[7,3,4,1,8,6,2,5] => 1010110 => 3
[4,7,6,3,5,8,2,1] => 0110011 => 1
[3,7,6,5,2,4,8,1] => 0111001 => 1
[1,4,7,8,6,2,5,3] => 0001101 => 1
[1,6,7,8,3,2,5,4] => 0001101 => 1
[1,3,2,7,8,4,6,5] => 0100101 => 2
[6,8,2,3,5,7,4,1] => 0100011 => 1
[5,7,1,4,6,2,8,3] => 0100101 => 2
[6,3,1,4,7,8,2,5] => 1100010 => 2
[9,8,7,6,5,1,3,4,2] => 11111001 => 1
[9,8,7,6,1,4,5,3,2] => 11110011 => 1
[8,7,1,5,4,6,3,2] => 1101011 => 2
[9,8,7,1,5,6,4,3,2] => 11100111 => 1
[9,8,1,6,7,5,4,3,2] => 11001111 => 1
[9,1,7,8,6,5,4,3,2] => 10011111 => 1
[4,5,7,1,8,6,2,3] => 0010110 => 2
[4,3,8,6,5,2,7,1] => 1011101 => 2
[2,3,8,6,5,1,7,4] => 0011101 => 1
[5,4,7,3,1,2,6,8] => 1011000 => 2
[7,6,2,1,5,4,3,8] => 1110110 => 2
[3,1,2,6,5,7,8,4] => 1001001 => 2
[7,3,2,6,1,4,8,5] => 1101001 => 2
[3,2,5,6,8,4,1,7] => 1000110 => 2
[7,2,6,8,5,4,3,1] => 1001111 => 1
[3,7,5,6,2,4,1,8] => 0101010 => 3
[3,2,4,1,6,5,8,7,9] => 10101010 => 4
[4,2,5,1,6,3,8,7,9] => 10101010 => 4
[4,2,6,1,7,3,8,5,9] => 10101010 => 4
[4,2,6,1,8,3,9,5,7] => 10101010 => 4
[4,2,6,1,7,3,5,9,8] => 10101001 => 3
[4,2,5,1,3,7,6,9,8] => 10100101 => 3
[3,2,5,4,6,1,8,7,9] => 10101010 => 4
[4,2,5,1,6,3,8,7,10,9] => 101010101 => 4
[4,2,5,1,7,6,8,3,9] => 10101010 => 4
[4,2,6,1,7,3,8,5,10,9] => 101010101 => 4
[4,2,6,1,7,3,9,8,5] => 10101011 => 3
[4,2,6,1,8,3,9,5,10,7] => 101010101 => 4
[4,2,5,1,3,6,8,7] => 1010001 => 2
[4,2,6,1,7,3,5,8,9] => 10101000 => 3
[4,2,6,1,8,3,9,5,7,10] => 101010100 => 4
[4,2,5,1,3,8,9,6,7] => 10100010 => 3
[4,2,6,1,7,3,5,9,8,10] => 101010010 => 4
[3,2,1,6,7,4,5,9,8] => 11001001 => 2
[4,2,5,1,3,7,6,9,8,10] => 101001010 => 4
[1,4,5,2,3,7,6,9,8] => 00100101 => 2
[5,3,4,2,7,1,8,6] => 1010101 => 3
[5,6,8,2,1,3,4,7] => 0011000 => 1
[6,5,2,1,3,8,4,7] => 1110010 => 2
[2,4,3,5,6,8,1,7] => 0100010 => 2
[6,3,2,4,8,5,1,7] => 1100110 => 2
[6,3,1,2,7,8,4,5] => 1100010 => 2
[8,4,7,1,2,5,3,6] => 1010010 => 3
[7,4,6,1,8,5,2,3] => 1010110 => 3
[8,5,6,7,2,1,4,3] => 1001101 => 2
[2,5,6,3,8,4,7,1] => 0010101 => 2
[6,8,4,2,3,1,7,5] => 0110101 => 2
[1,7,6,2,8,3,5,4] => 0110101 => 2
[7,1,5,6,3,2,8,4] => 1001101 => 2
[4,1,3,8,5,2,7,6] => 1001101 => 2
[1,8,5,4,7,2,3,6] => 0110100 => 2
[8,2,5,6,4,3,1,7] => 1001110 => 2
[2,4,3,8,6,5,1,7] => 0101110 => 2
[3,1,4,5,8,6,2,7] => 1000110 => 2
[1,8,3,2,5,4,6,7] => 0110100 => 2
[5,1,7,3,2,8,4,6] => 1011010 => 3
[5,7,8,1,3,2,4,6] => 0010100 => 2
[8,2,4,1,6,7,3,5] => 1010010 => 3
[8,7,3,6,2,4,1,5] => 1101010 => 3
[1,7,4,8,3,6,2,5] => 0101010 => 3
[7,8,6,1,3,5,4,2] => 0110011 => 1
[1,7,5,8,4,3,2,6] => 0101110 => 2
[6,3,1,2,7,8,5,4] => 1100011 => 1
[8,2,7,5,3,4,1,6] => 1011010 => 3
[6,3,1,2,8,7,5,4] => 1100111 => 1
[8,4,7,2,6,3,1,5] => 1010110 => 3
[7,6,3,4,2,1,8,5] => 1101101 => 2
[8,4,6,2,3,7,1,5] => 1010010 => 3
[3,4,5,8,1,7,2,6] => 0001010 => 2
[6,3,4,2,7,8,1,5] => 1010010 => 3
[5,6,3,7,8,2,1,4] => 0100110 => 2
[8,6,3,4,7,2,1,5] => 1100110 => 2
[4,3,8,6,7,5,1,2] => 1010110 => 3
[4,5,6,2,7,8,3,1] => 0010011 => 1
[4,5,6,2,7,1,8,3] => 0010101 => 2
[4,5,6,2,1,7,8,3] => 0011001 => 1
[4,5,6,2,1,7,3,8] => 0011010 => 2
[6,8,7,2,3,1,4,5] => 0110100 => 2
[4,5,1,6,7,3,2,8] => 0100110 => 2
[2,5,1,8,3,7,4,6] => 0101010 => 3
[5,7,2,1,3,8,4,6] => 0110010 => 2
[3,7,5,4,1,6,8,2] => 0111001 => 1
[7,1,5,4,2,6,3,8] => 1011010 => 3
[8,5,6,3,7,2,1,4] => 1010110 => 3
[7,6,5,4,3,1,2,9,8] => 11111001 => 1
[9,8,7,6,5,4,3,2,1,11,10] => 1111111101 => 1
[8,7,6,5,4,3,1,2,10,9] => 111111001 => 1
[7,6,5,4,2,1,3,9,8] => 11111001 => 1
[7,6,5,4,1,3,2,9,8] => 11110101 => 2
[9,8,7,6,5,3,2,4,1] => 11111101 => 1
[9,8,7,6,5,2,4,3,1] => 11111011 => 1
[10,9,8,7,6,5,4,2,3,1] => 111111101 => 1
[2,7,4,5,6,8,1,3] => 0100010 => 2
[2,3,4,6,8,1,7,5] => 0000101 => 1
[2,3,4,8,6,7,9,5,1] => 00010011 => 1
[2,3,8,5,6,7,9,1,4] => 00100010 => 2
[2,8,4,5,6,7,9,3,1] => 01000011 => 1
[8,3,4,5,6,7,9,2,1] => 10000011 => 1
[2,3,4,5,7,9,1,8,6] => 00000101 => 1
[2,3,4,6,7,1,9,5,8] => 00001010 => 2
[2,3,4,5,9,7,8,10,6,1] => 000010011 => 1
[2,3,5,8,1,6,7,4] => 0001001 => 1
[2,3,5,6,1,7,9,4,8] => 00010010 => 2
[2,3,4,9,6,7,8,10,1,5] => 000100010 => 2
[2,4,5,1,6,7,9,8,3] => 00100011 => 1
[2,3,9,5,6,7,8,10,4,1] => 001000011 => 1
[2,4,7,5,6,8,1,3] => 0010010 => 2
[3,4,1,5,6,7,9,2,8] => 01000010 => 2
[2,9,4,5,6,7,8,10,3,1] => 010000011 => 1
[3,2,4,5,6,7,9,1,8] => 10000010 => 2
[9,3,4,5,6,7,8,10,1,2] => 100000010 => 2
[2,3,4,5,6,8,10,1,9,7] => 000000101 => 1
[2,3,4,5,6,7,10,9,11,8,1] => 0000001011 => 1
[2,3,4,7,6,9,8,5,1] => 00010111 => 1
[2,3,4,5,7,8,1,10,6,9] => 000001010 => 2
[2,3,4,5,6,10,8,9,11,7,1] => 0000010011 => 1
[2,3,4,6,9,1,7,8,5] => 00001001 => 1
[2,3,4,6,7,1,8,10,5,9] => 000010010 => 2
[2,3,4,5,10,7,8,9,11,1,6] => 0000100010 => 2
[7,3,4,6,2,8,1,5] => 1001010 => 3
[2,5,4,6,8,7,9,1,3] => 01001010 => 3
[2,3,5,7,1,6,9,4,8] => 00010010 => 2
[2,3,5,6,1,7,8,10,9,4] => 000100011 => 1
[2,3,4,10,6,7,8,9,11,5,1] => 0001000011 => 1
[4,7,6,5,2,8,3,1] => 0111011 => 1
[4,3,5,8,6,7,9,2,1] => 10010011 => 2
[2,5,4,8,6,7,3,1] => 0101011 => 2
[2,4,6,1,5,7,9,3,8] => 00100010 => 2
[2,4,5,1,6,7,8,10,3,9] => 001000010 => 2
[2,3,10,5,6,7,8,9,11,4,1] => 0010000011 => 1
[7,5,4,1,6,8,2,3] => 1110010 => 2
[2,4,8,5,6,7,9,1,3] => 00100010 => 2
[3,5,1,4,6,7,9,8,2] => 01000011 => 1
[3,4,1,5,6,7,8,10,2,9] => 010000010 => 2
[2,10,4,5,6,7,8,9,11,1,3] => 0100000010 => 2
[4,2,3,5,6,7,9,1,8] => 10000010 => 2
[3,2,4,5,6,7,8,10,9,1] => 100000011 => 1
[8,5,2,1,7,6,3,4] => 1110110 => 2
[2,7,3,6,4,1,8,5] => 0101101 => 2
[7,2,1,8,5,6,4,3] => 1101011 => 2
[3,6,5,1,4,8,2,7] => 0110010 => 2
[6,3,5,4,8,1,2,7] => 1010100 => 3
[2,5,1,4,6,3,8,7] => 0100101 => 2
[3,1,5,6,4,2,8,7] => 1001101 => 2
[8,5,6,4,3,1,7,2] => 1011101 => 2
[8,3,5,6,7,1,2,4] => 1000100 => 2
[2,1,4,7,3,6,8,5] => 1001001 => 2
[5,3,7,6,4,8,2,1] => 1011011 => 2
[3,7,6,4,2,8,1,5] => 0111010 => 2
[8,6,1,4,3,7,2,5] => 1101010 => 3
[8,4,7,5,1,6,3,2] => 1011011 => 2
[2,1,5,3,7,8,6,4] => 1010011 => 2
[5,1,4,7,6,8,2,3] => 1001010 => 3
[8,4,1,3,7,6,5,2] => 1100111 => 1
[8,3,4,1,6,7,5,2] => 1010011 => 2
[8,1,4,2,6,5,7,3] => 1010101 => 3
[8,6,4,3,7,2,1,5] => 1110110 => 2
[5,8,1,4,3,2,6,7] => 0101100 => 2
[5,6,4,3,8,2,7,1] => 0110101 => 2
[1,6,4,3,8,2,7,5] => 0110101 => 2
[6,7,4,1,3,2,5,8] => 0110100 => 2
[7,8,1,4,3,2,5,6] => 0101100 => 2
[7,1,8,4,5,3,6,2] => 1010101 => 3
[4,3,1,8,6,5,7,2] => 1101101 => 2
[4,3,2,7,5,1,8,6] => 1101101 => 2
[5,2,3,7,4,1,8,6] => 1001101 => 2
[2,1,7,4,3,6,8,5] => 1011001 => 2
[7,1,2,4,5,6,8,3] => 1000001 => 1
[2,8,7,1,4,5,6,3] => 0110001 => 1
[8,7,1,3,4,5,6,2] => 1100001 => 1
[5,8,3,1,4,6,7,2] => 0110001 => 1
[1,7,2,5,4,6,8,3] => 0101001 => 2
[2,5,3,8,1,6,7,4] => 0101001 => 2
[1,6,4,2,5,7,8,3] => 0110001 => 1
[6,5,3,4,1,7,8,2] => 1101001 => 2
[5,6,3,4,1,7,8,2] => 0101001 => 2
[2,5,3,1,4,7,8,6] => 0110001 => 1
[6,8,2,3,1,5,7,4] => 0101001 => 2
[4,3,1,5,2,7,8,6] => 1101001 => 2
[5,2,3,1,4,7,8,6] => 1010001 => 2
[7,2,1,3,5,6,8,4] => 1100001 => 1
[5,2,4,7,8,6,3,1] => 1000111 => 1
[5,4,8,7,2,3,1,6] => 1011010 => 3
[8,1,4,5,3,6,2,7] => 1001010 => 3
[8,3,5,1,4,6,2,7] => 1010010 => 3
[5,8,2,1,7,4,3,6] => 0110110 => 2
[6,5,7,2,1,8,4,3] => 1011011 => 2
[1,5,4,7,3,8,6,2] => 0101011 => 2
[7,4,1,3,8,5,6,2] => 1100101 => 2
[3,6,8,4,1,7,2,5] => 0011010 => 2
[2,1,8,4,7,6,3,5] => 1010110 => 3
[2,7,5,6,8,4,3,1] => 0100111 => 1
[3,5,2,4,7,8,6,1] => 0100011 => 1
[7,5,6,3,8,2,1,4] => 1010110 => 3
[1,6,2,7,4,5,8,3] => 0101001 => 2
[7,4,2,6,1,5,8,3] => 1101001 => 2
[8,4,1,6,2,5,7,3] => 1101001 => 2
[7,3,4,5,1,6,8,2] => 1001001 => 2
[1,3,2,5,4,7,6,9,8,11,10] => 0101010101 => 4
[1,4,2,6,3,7,5,9,8] => 01010101 => 3
[1,3,2,6,4,7,5,9,8] => 01010101 => 3
[2,1,6,3,7,4,8,5,9] => 10101010 => 4
[8,4,2,7,6,1,5,3] => 1101101 => 2
[8,4,7,1,2,6,5,3] => 1010011 => 2
[8,4,7,6,1,2,5,3] => 1011001 => 2
[8,7,6,2,1,5,3,4] => 1111010 => 2
[5,7,8,1,6,2,4,3] => 0010101 => 2
[7,9,6,8,4,5,2,3,1] => 01010101 => 3
[7,9,5,8,4,6,2,3,1] => 01010101 => 3
[7,9,5,8,3,6,2,4,1] => 01010101 => 3
[6,8,4,7,5,2,1,3] => 0101110 => 2
[7,9,5,8,3,6,4,1,2] => 01010110 => 3
[7,9,5,8,6,3,4,1,2] => 01011010 => 3
[7,9,8,5,6,3,4,1,2] => 01101010 => 3
[6,9,5,8,4,7,2,3,1] => 01010101 => 3
[7,9,4,8,3,6,2,5,1] => 01010101 => 3
[7,9,5,8,2,6,1,4,3] => 01010101 => 3
[6,8,2,7,1,5,4,3] => 0101011 => 2
[7,9,5,8,3,6,4,2,1] => 01010111 => 2
[8,10,6,9,4,7,2,5,3,1] => 010101011 => 3
[6,8,7,4,2,5,1,3] => 0111010 => 2
[7,9,5,8,6,3,1,4,2] => 01011101 => 2
[8,10,6,9,4,7,5,2,3,1] => 010101101 => 3
[7,9,8,5,3,6,4,1,2] => 01110110 => 2
[8,10,6,9,7,4,5,2,3,1] => 010110101 => 3
[9,7,5,8,6,3,4,1,2] => 11011010 => 3
[8,10,9,6,7,4,5,2,3,1] => 011010101 => 3
[6,8,4,5,7,2,1,3] => 0100110 => 2
[6,8,4,2,5,1,3,7] => 0110100 => 2
[6,5,4,3,2,7,1,8,9] => 11110100 => 2
[5,4,3,2,6,1,7,8,9] => 11101000 => 2
[4,3,2,5,1,6,7,8,9] => 11010000 => 2
[3,2,4,1,5,6,7,8,9] => 10100000 => 2
[2,5,3,7,6,4,8,1] => 0101101 => 2
[3,1,5,7,6,4,2,8] => 1001110 => 2
[3,1,6,5,4,7,2,8] => 1011010 => 3
[2,5,6,8,3,4,7,1] => 0001001 => 1
[4,1,3,6,5,2,7,8] => 1001100 => 2
[3,6,2,4,5,7,1,8] => 0100010 => 2
[3,6,2,5,4,7,1,8] => 0101010 => 3
[3,5,1,7,6,4,2,8] => 0101110 => 2
[3,6,1,4,5,7,2,8] => 0100010 => 2
[4,3,1,6,5,2,7,8] => 1101100 => 2
[4,1,2,6,5,3,7,8] => 1001100 => 2
[4,6,1,3,5,2,7,8] => 0100100 => 2
[3,6,4,2,5,7,1,8] => 0110010 => 2
[4,2,6,3,5,1,7,8] => 1010100 => 3
[3,4,7,6,5,1,2,8] => 0011100 => 1
[4,5,2,7,1,3,6,8] => 0101000 => 2
[4,6,1,2,5,3,7,8] => 0100100 => 2
[2,6,5,1,4,8,7,3] => 0110011 => 1
[5,8,4,7,1,3,6,2] => 0101001 => 2
[6,4,7,1,3,5,2,8] => 1010010 => 3
[6,8,1,3,5,7,4,2] => 0100011 => 1
[5,8,3,2,7,4,6,1] => 0110101 => 2
[6,8,3,1,5,4,7,2] => 0110101 => 2
[6,8,1,2,5,3,7,4] => 0100101 => 2
[5,2,8,3,4,6,7,1] => 1010001 => 2
[5,2,7,1,6,4,8,3] => 1010101 => 3
[4,5,2,6,1,3,7,8] => 0101000 => 2
[4,3,5,8,6,1,7,2] => 1001101 => 2
[5,1,3,6,7,4,2,8] => 1000110 => 2
[4,2,8,3,6,7,5,1] => 1010011 => 2
[3,1,7,8,5,6,2,4] => 1001010 => 3
[6,2,1,7,5,3,4,8] => 1101100 => 2
[3,7,1,8,5,2,4,6] => 0101100 => 2
[4,2,8,6,7,1,3,5] => 1010100 => 3
[6,1,2,4,7,3,5,8] => 1000100 => 2
[5,3,1,6,4,7,2,8] => 1101010 => 3
[1,2,4,5,8,7,3,6] => 0000110 => 1
[1,3,4,7,5,8,6,2] => 0001011 => 1
[1,5,2,3,7,8,6,4] => 0100011 => 1
[4,2,8,1,6,5,7,3] => 1010101 => 3
[1,3,5,2,7,4,6,9,8] => 00101001 => 2
[1,2,4,3,6,5,8,7,9] => 00101010 => 3
[1,3,5,7,2,4,6,9,8] => 00010001 => 1
[1,3,5,7,2,4,6,9,8,10] => 000100010 => 2
[1,3,5,7,2,9,4,6,8] => 00010100 => 2
[5,6,1,4,8,3,2,7] => 0100110 => 2
[3,6,4,1,7,2,8,5] => 0110101 => 2
[5,6,2,1,3,7,4,8,9] => 01100100 => 2
[3,2,5,1,6,4,7,8,9] => 10101000 => 3
[6,7,2,1,8,3,4,9,5] => 01101001 => 2
[3,6,4,1,7,2,8,5,9] => 01101010 => 3
[3,6,7,2,1,4,8,5,9] => 00110010 => 2
[4,2,6,1,7,5,3,8,9] => 10101100 => 3
[4,3,2,6,1,7,5,8,9] => 11010100 => 3
[4,7,2,5,1,8,3,9,6] => 01010101 => 3
[4,3,7,8,2,1,5,9,6] => 10011001 => 2
[3,5,2,7,1,8,6,4,9] => 01010110 => 3
[5,4,3,2,7,1,8,6,9] => 11101010 => 3
[6,4,2,8,1,9,7,5,3] => 11010111 => 2
[4,3,6,2,8,1,9,7,5] => 10101011 => 3
[6,5,4,3,2,8,1,9,7] => 11110101 => 2
[2,4,1,5,3,6,7,8,9,10] => 010100000 => 2
[5,6,2,1,3,7,4,8,9,10] => 011001000 => 2
[3,2,5,1,6,4,7,8,9,10] => 101010000 => 3
[6,7,2,1,8,3,4,9,5,10] => 011010010 => 3
[3,6,4,1,7,2,8,5,9,10] => 011010100 => 3
[3,6,7,2,1,4,8,5,9,10] => 001100100 => 2
[4,2,6,1,7,5,3,8,9,10] => 101011000 => 3
[4,3,2,6,1,7,5,8,9,10] => 110101000 => 3
[3,4,7,1,8,2,9,5,10,6] => 001010101 => 3
[7,8,9,3,2,1,4,5,10,6] => 001110001 => 1
[4,7,2,5,1,8,3,9,6,10] => 010101010 => 4
[4,3,7,8,2,1,5,9,6,10] => 100110010 => 3
[3,5,2,7,1,8,6,4,9,10] => 010101100 => 3
[5,4,3,2,7,1,8,6,9,10] => 111010100 => 3
[5,8,9,2,1,6,3,10,7,4] => 001101011 => 2
[5,3,8,6,4,1,9,2,10,7] => 101110101 => 3
[3,5,8,2,6,1,9,4,10,7] => 001010101 => 3
[5,4,3,8,9,2,1,6,10,7] => 110011001 => 2
[6,4,2,8,1,9,7,5,3,10] => 110101110 => 3
[4,3,6,2,8,1,9,7,5,10] => 101010110 => 4
[6,5,4,3,2,8,1,9,7,10] => 111101010 => 3
[5,3,7,2,9,1,10,8,6,4] => 101010111 => 3
[5,4,3,7,2,9,1,10,8,6] => 110101011 => 3
[7,6,5,4,3,2,9,1,10,8] => 111110101 => 2
[5,2,6,3,7,8,4,1] => 1010011 => 2
[2,4,1,3,7,8,6,5] => 0100011 => 1
[2,6,1,5,7,8,4,3] => 0100011 => 1
[5,1,6,4,7,8,2,3] => 1010010 => 3
[8,4,6,3,7,5,1,2] => 1010110 => 3
[4,7,6,8,2,3,5,1] => 0101001 => 2
[5,7,4,8,1,2,6,3] => 0101001 => 2
[3,6,7,5,8,1,4,2] => 0010101 => 2
[3,7,5,6,8,2,4,1] => 0100101 => 2
[2,7,1,6,8,4,5,3] => 0100101 => 2
[1,5,4,7,2,6,3,8] => 0101010 => 3
[2,4,5,8,3,1,7,6] => 0001101 => 1
[1,4,7,5,8,3,6,2] => 0010101 => 2
[2,6,8,7,3,5,1,4] => 0011010 => 2
[4,7,8,6,2,5,1,3] => 0011010 => 2
[4,8,7,3,5,6,2,1] => 0110011 => 1
[1,7,6,3,5,4,2,8] => 0110110 => 2
[4,3,8,1,6,5,7,2] => 1010101 => 3
[1,3,6,2,5,8,7,4] => 0010011 => 1
[5,8,7,1,4,6,3,2] => 0110011 => 1
[6,2,5,1,3,4,8,7] => 1010001 => 2
[2,6,5,1,3,4,8,7] => 0110001 => 1
[4,6,5,1,2,7,3,8] => 0110010 => 2
[5,6,4,1,2,7,3,8] => 0110010 => 2
[8,1,5,6,2,4,3,7] => 1001010 => 3
[6,4,5,1,2,7,3,8] => 1010010 => 3
[5,4,6,1,3,2,7,8] => 1010100 => 3
[5,7,1,4,3,2,6,8] => 0101100 => 2
[2,6,4,1,3,7,5,8] => 0110010 => 2
[7,8,5,3,2,1,6,4] => 0111101 => 1
[1,2,6,7,8,4,5,3] => 0000101 => 1
[6,1,4,8,2,7,5,3] => 1001011 => 2
[5,2,3,7,1,8,4,6] => 1001010 => 3
[7,2,3,1,8,4,6,5] => 1010101 => 3
[5,4,1,7,3,2,8,6] => 1101101 => 2
[7,3,4,5,1,8,6,2] => 1001011 => 2
[1,5,6,7,4,8,2,3] => 0001010 => 2
[6,3,2,5,7,4,8,1] => 1100101 => 2
[5,7,3,8,1,2,4,6] => 0101000 => 2
[4,5,2,7,6,3,1,8] => 0101110 => 2
[4,5,2,1,7,6,3,8] => 0110110 => 2
[2,6,7,8,3,1,4,5] => 0001100 => 1
[6,3,2,5,1,7,8,4] => 1101001 => 2
[4,6,3,7,8,2,1,5] => 0100110 => 2
[5,6,7,1,8,4,2,3] => 0010110 => 2
[1,7,8,4,6,5,2,3] => 0010110 => 2
[1,7,3,2,8,6,5,4] => 0110111 => 1
[3,7,1,2,8,6,5,4] => 0100111 => 1
[2,7,8,1,6,5,3,4] => 0010110 => 2
[2,5,8,1,7,6,3,4] => 0010110 => 2
[8,1,5,7,3,4,6,2] => 1001001 => 2
[5,8,2,7,6,3,1,4] => 0101110 => 2
[2,8,4,7,6,3,1,5] => 0101110 => 2
[1,8,2,4,7,6,3,5] => 0100110 => 2
[4,5,8,7,1,6,2,3] => 0011010 => 2
[1,8,2,4,6,7,5,3] => 0100011 => 1
[3,4,2,8,1,7,6,5] => 0101011 => 2
[2,4,5,8,1,7,6,3] => 0001011 => 1
[3,1,8,2,6,7,5,4] => 1010011 => 2
[2,6,8,1,4,3,7,5] => 0010101 => 2
[4,1,8,2,6,7,3,5] => 1010010 => 3
[1,6,5,2,8,7,3,4] => 0110110 => 2
[8,1,7,3,5,2,4,6] => 1010100 => 3
[8,1,3,2,7,6,4,5] => 1010110 => 3
[7,3,4,8,6,2,5,1] => 1001101 => 2
[7,5,8,1,6,2,3,4] => 1010100 => 3
[6,8,4,5,3,1,7,2] => 0101101 => 2
[6,7,5,3,2,8,4,1] => 0111011 => 1
[6,2,5,3,8,1,4,7] => 1010100 => 3
[7,6,1,3,5,2,4,8] => 1100100 => 2
[6,2,4,5,3,8,1,7] => 1001010 => 3
[6,1,5,4,7,2,3,8] => 1010100 => 3
[6,8,5,4,7,1,3,2] => 0110101 => 2
[1,6,8,4,2,5,7,3] => 0011001 => 1
[7,5,8,1,3,4,2,6] => 1010010 => 3
[1,4,2,8,3,5,7,6] => 0101001 => 2
[1,3,5,4,8,7,2,6] => 0010110 => 2
[1,6,2,4,8,3,7,5] => 0100101 => 2
[1,7,8,5,4,2,6,3] => 0011101 => 1
[1,5,2,8,6,4,7,3] => 0101101 => 2
[1,6,5,2,7,4,8,3] => 0110101 => 2
[5,1,6,7,4,2,8,3] => 1001101 => 2
[6,8,1,5,2,3,7,4] => 0101001 => 2
[1,5,4,2,8,6,7,3] => 0110101 => 2
[1,8,5,4,6,2,7,3] => 0110101 => 2
[1,7,5,4,6,2,8,3] => 0110101 => 2
[5,8,4,1,6,2,7,3] => 0110101 => 2
[4,8,1,3,7,6,2,5] => 0100110 => 2
[4,5,3,1,2,8,7,6] => 0110011 => 1
[6,4,2,3,1,8,7,5] => 1101011 => 2
[6,5,2,1,3,8,7,4] => 1110011 => 1
[7,6,1,8,2,5,3,4] => 1101010 => 3
[8,4,2,3,7,6,1,5] => 1100110 => 2
[5,7,8,1,2,4,3,6] => 0010010 => 2
[1,7,6,8,3,5,4,2] => 0101011 => 2
[5,7,6,4,2,1,3,8] => 0111100 => 1
[6,5,7,4,1,3,2,8] => 1011010 => 3
[4,6,1,8,3,5,2,7] => 0101010 => 3
[7,1,6,8,2,5,4,3] => 1001011 => 2
[4,7,1,8,3,2,5,6] => 0101100 => 2
[4,8,3,6,1,5,2,7] => 0101010 => 3
[1,7,8,6,4,5,3,2] => 0011011 => 1
[3,2,8,6,4,5,1,7] => 1011010 => 3
[8,4,3,6,2,5,1,7] => 1101010 => 3
[1,6,8,7,4,3,5,2] => 0011101 => 1
[3,1,2,6,8,7,5,4] => 1000111 => 1
[5,7,4,2,1,8,6,3] => 0111011 => 1
[8,6,5,7,2,4,3,1] => 1101011 => 2
[7,4,6,1,8,5,3,2] => 1010111 => 2
[7,4,6,3,8,1,5,2] => 1010101 => 3
[7,4,8,1,6,3,2,5] => 1010110 => 3
[7,4,8,3,6,2,1,5] => 1010110 => 3
[6,4,8,2,3,5,7,1] => 1010001 => 2
[4,6,8,2,5,7,1,3] => 0010010 => 2
[6,4,8,2,5,7,1,3] => 1010010 => 3
[6,2,4,5,8,3,7,1] => 1000101 => 2
[6,8,2,4,7,3,5,1] => 0100101 => 2
[8,4,6,2,7,1,3,5] => 1010100 => 3
[6,8,4,2,7,1,3,5] => 0110100 => 2
[6,8,2,4,1,7,3,5] => 0101010 => 3
[7,5,1,6,2,4,8,3] => 1101001 => 2
[4,2,5,7,1,6,8,3] => 1001001 => 2
[2,4,8,5,6,7,3,1] => 0010011 => 1
[4,5,2,3,8,7,1,6] => 0100110 => 2
[2,5,4,7,6,1,3,8] => 0101100 => 2
[5,2,3,7,6,1,4,8] => 1001100 => 2
[4,2,3,7,6,1,5,8] => 1001100 => 2
[4,2,7,3,5,1,6,8] => 1010100 => 3
[5,6,2,3,8,4,7,1] => 0100101 => 2
[5,6,2,3,1,7,8,4] => 0101001 => 2
[5,7,2,3,4,1,6,8] => 0100100 => 2
[6,2,7,3,5,1,4,8] => 1010100 => 3
[7,2,6,3,5,1,4,8] => 1010100 => 3
[6,5,2,3,1,7,8,4] => 1101001 => 2
[6,5,2,3,8,4,7,1] => 1100101 => 2
[7,5,2,1,4,6,8,3] => 1110001 => 1
[8,5,2,3,1,6,4,7] => 1101010 => 3
[8,6,2,3,1,5,4,7] => 1101010 => 3
[8,2,6,3,1,7,4,5] => 1011010 => 3
[1,6,3,4,2,7,5,8] => 0101010 => 3
[8,5,2,7,3,4,6,1] => 1101001 => 2
[1,7,2,4,5,6,8,3] => 0100001 => 1
[1,8,3,2,5,6,4,7] => 0110010 => 2
[7,2,8,1,4,6,3,5] => 1010010 => 3
[2,7,8,1,5,6,3,4] => 0010010 => 2
[6,8,2,3,1,5,4,7] => 0101010 => 3
[5,8,2,3,1,6,4,7] => 0101010 => 3
[5,7,2,1,4,6,8,3] => 0110001 => 1
[4,2,7,1,5,6,8,3] => 1010001 => 2
[4,2,3,8,1,7,5,6] => 1001010 => 3
[4,2,1,5,3,7,6,8] => 1101010 => 3
[5,1,3,8,4,6,7,2] => 1001001 => 2
[5,1,3,2,6,7,8,4] => 1010001 => 2
[5,1,3,4,2,7,6,8] => 1001010 => 3
[6,1,3,4,2,7,5,8] => 1001010 => 3
[7,2,1,3,5,8,4,6] => 1100010 => 2
[6,8,7,2,3,4,5,1] => 0110001 => 1
[1,9,8,10,7,6,5,4,3,2] => 010111111 => 1
[2,8,7,9,6,5,4,3,1] => 01011111 => 1
[3,7,2,8,1,4,5,6] => 0101000 => 2
[5,2,3,7,4,6,1,8] => 1001010 => 3
[2,5,3,7,4,6,1,8] => 0101010 => 3
[2,6,7,3,4,5,1,8] => 0010010 => 2
[6,2,7,3,4,5,1,8] => 1010010 => 3
[3,8,4,5,2,1,6,7] => 0101100 => 2
[2,7,6,3,4,5,1,8] => 0110010 => 2
[2,8,7,5,1,3,4,6] => 0111000 => 1
[3,1,2,9,4,5,6,7,8] => 10010000 => 2
[4,1,2,3,9,5,6,7,8] => 10001000 => 2
[5,1,2,3,4,9,6,7,8] => 10000100 => 2
[6,1,2,3,4,5,9,7,8] => 10000010 => 2
[2,1,10,3,4,5,6,7,8,9] => 101000000 => 2
[3,1,2,10,4,5,6,7,8,9] => 100100000 => 2
[3,4,1,2,9,5,6,7,8] => 01001000 => 2
[4,1,2,3,10,5,6,7,8,9] => 100010000 => 2
[4,5,1,2,3,9,6,7,8] => 01000100 => 2
[5,1,2,3,4,10,6,7,8,9] => 100001000 => 2
[5,6,1,2,3,4,9,7,8] => 01000010 => 2
[6,1,2,3,4,5,10,7,8,9] => 100000100 => 2
[6,7,1,2,3,4,5,9,8] => 01000001 => 1
[7,1,2,3,4,5,6,10,8,9] => 100000010 => 2
[4,5,7,2,8,3,6,1] => 0010101 => 2
[9,7,5,3,1,8,6,4,2] => 11110111 => 1
[9,6,3,8,5,2,7,4,1] => 11011011 => 2
[8,5,2,9,6,3,7,4,1] => 11011011 => 2
[9,5,1,6,2,7,3,8,4] => 11010101 => 3
[9,5,1,8,4,7,3,6,2] => 11010101 => 3
[8,4,7,3,6,2,9,5,1] => 10101011 => 3
[7,3,8,4,6,2,9,5,1] => 10101011 => 3
[9,4,7,2,5,8,3,6,1] => 10100101 => 3
[9,4,6,1,8,3,5,7,2] => 10101001 => 3
[8,3,5,7,2,9,4,6,1] => 10010101 => 3
[7,2,8,3,9,4,5,6,1] => 10101001 => 3
[8,3,7,2,9,4,5,6,1] => 10101001 => 3
[5,8,3,7,2,9,4,6,1] => 01010101 => 3
[4,5,6,9,3,8,2,7,1] => 00010101 => 2
[4,5,6,8,2,9,3,7,1] => 00010101 => 2
[9,3,6,5,4,7,1,8,2] => 10110101 => 3
[8,2,9,3,6,5,4,7,1] => 10101101 => 3
[6,5,4,8,2,9,3,7,1] => 11010101 => 3
[5,6,4,8,2,9,3,7,1] => 01010101 => 3
[9,2,7,4,5,6,3,8,1] => 10100101 => 3
[7,4,5,6,3,9,2,8,1] => 10010101 => 3
[5,7,4,6,3,9,2,8,1] => 01010101 => 3
[10,8,6,4,2,9,7,5,3,1] => 111101111 => 1
[10,7,4,1,8,5,2,9,6,3] => 111011011 => 2
[9,6,3,8,5,2,10,7,4,1] => 110110111 => 2
[9,5,1,7,3,10,6,2,8,4] => 110101101 => 3
[10,6,2,7,3,8,4,9,5,1] => 110101011 => 3
[7,3,8,4,10,6,2,9,5,1] => 101011011 => 3
[8,4,7,3,10,6,2,9,5,1] => 101011011 => 3
[10,5,8,3,6,1,9,4,7,2] => 101010101 => 4
[9,4,7,2,10,5,8,3,6,1] => 101010101 => 4
[10,5,7,2,8,3,9,4,6,1] => 101010101 => 4
[8,3,10,5,7,2,9,4,6,1] => 101010101 => 4
[8,3,9,4,7,2,10,5,6,1] => 101010101 => 4
[9,3,5,7,1,10,4,6,8,2] => 100101001 => 3
[10,4,6,8,2,9,3,5,7,1] => 100101001 => 3
[10,4,5,6,7,1,8,2,9,3] => 100010101 => 3
[8,2,9,3,10,4,5,6,7,1] => 101010001 => 3
[9,3,8,2,10,4,5,6,7,1] => 101010001 => 3
[5,6,9,3,7,1,10,4,8,2] => 001010101 => 3
[5,6,10,4,8,2,9,3,7,1] => 001010101 => 3
[5,6,9,3,8,2,10,4,7,1] => 001010101 => 3
[6,5,9,3,8,2,10,4,7,1] => 101010101 => 4
[9,2,7,6,5,4,10,3,8,1] => 101110101 => 3
[10,3,7,6,5,4,8,1,9,2] => 101110101 => 3
[9,2,10,3,7,6,5,4,8,1] => 101011101 => 3
[7,6,5,4,9,2,10,3,8,1] => 111010101 => 3
[6,4,7,5,10,3,9,2,8,1] => 101010101 => 4
[6,4,7,5,9,2,10,3,8,1] => 101010101 => 4
[7,5,6,4,9,2,10,3,8,1] => 101010101 => 4
[6,5,7,4,9,2,10,3,8,1] => 101010101 => 4
[5,6,7,3,8,4,9,1,10,2] => 001010101 => 3
[5,6,7,3,8,4,10,2,9,1] => 001010101 => 3
[5,6,8,4,7,3,10,2,9,1] => 001010101 => 3
[6,5,8,4,7,3,10,2,9,1] => 101010101 => 4
[5,2,1,3,6,7,8,4] => 1100001 => 1
[1,6,5,7,2,8,3,4] => 0101010 => 3
[7,5,2,6,1,8,4,3] => 1101011 => 2
[6,1,5,2,7,8,4,3] => 1010011 => 2
[1,6,5,7,2,8,4,3] => 0101011 => 2
[1,5,4,6,2,8,7,3] => 0101011 => 2
[1,5,4,6,2,8,3,7] => 0101010 => 3
[1,5,6,4,8,2,3,7] => 0010100 => 2
[6,2,1,5,8,4,7,3] => 1100101 => 2
[7,5,6,8,4,1,3,2] => 1001101 => 2
[8,3,7,5,1,4,2,6] => 1011010 => 3
[8,1,5,7,3,6,2,4] => 1001010 => 3
[8,3,2,6,4,5,1,7] => 1101010 => 3
[8,5,3,7,4,1,2,6] => 1101100 => 2
[8,5,6,2,7,1,3,4] => 1010100 => 3
[8,4,7,2,6,5,1,3] => 1010110 => 3
[8,5,7,3,2,6,1,4] => 1011010 => 3
[8,1,2,3,6,4,7,5] => 1000101 => 2
[7,6,2,3,5,8,1,4] => 1100010 => 2
[4,5,3,7,8,1,6,2] => 0100101 => 2
[3,4,2,8,1,6,7,5] => 0101001 => 2
[8,3,4,1,5,7,6,2] => 1010011 => 2
[4,3,7,5,1,6,2,8] => 1011010 => 3
[5,2,6,1,4,3,7,8] => 1010100 => 3
[5,3,7,4,2,8,6,1] => 1011011 => 2
[7,2,5,8,6,1,4,3] => 1001101 => 2
[5,3,1,4,6,7,8,2] => 1100001 => 1
[4,6,2,1,3,7,8,5] => 0110001 => 1
[2,5,4,1,3,6,7,8] => 0110000 => 1
[6,5,2,7,4,1,3,8] => 1101100 => 2
[4,2,5,6,7,8,9,1,3] => 10000010 => 2
[3,1,6,7,8,4,5,2] => 1000101 => 2
[7,4,5,6,2,1,8,3] => 1001101 => 2
[4,2,5,6,7,8,9,10,1,3] => 100000010 => 2
[3,4,5,6,7,8,9,10,1,11,2] => 0000000101 => 1
[3,7,5,6,2,1,8,4] => 0101101 => 2
[1,7,6,3,8,4,5,2] => 0110101 => 2
[6,4,1,2,7,8,3,5] => 1100010 => 2
[6,4,1,3,5,2,7,8] => 1100100 => 2
[5,1,8,3,4,6,2,7] => 1010010 => 3
[4,5,8,2,3,7,1,6] => 0010010 => 2
[7,3,4,8,2,5,1,6] => 1001010 => 3
[4,7,2,5,1,6,8,3] => 0101001 => 2
[6,3,1,7,4,2,5,8] => 1101100 => 2
[8,7,2,1,5,3,6,4] => 1110101 => 2
[7,2,8,1,5,6,4,3] => 1010011 => 2
[5,6,4,2,1,8,3,7] => 0111010 => 2
[5,7,3,6,4,1,2,8] => 0101100 => 2
[2,4,3,5,8,1,6,7] => 0100100 => 2
[2,6,5,3,8,1,4,7] => 0110100 => 2
[6,1,2,4,3,5,7,8] => 1001000 => 2
[6,5,8,2,7,3,4,1] => 1010101 => 3
[1,7,6,8,4,3,2,5] => 0101110 => 2
[1,7,6,5,3,8,2,4] => 0111010 => 2
[6,1,2,4,3,5,8,7] => 1001001 => 2
[4,6,1,3,7,8,5,2] => 0100011 => 1
[8,4,1,5,2,6,7,3] => 1101001 => 2
[1,5,6,3,8,7,2,4] => 0010110 => 2
[5,3,2,6,8,7,1,4] => 1100110 => 2
[6,3,5,2,7,1,4,8] => 1010100 => 3
[8,5,2,6,7,1,4,3] => 1100101 => 2
[5,3,8,7,1,4,2,6] => 1011010 => 3
[6,4,5,3,1,8,7,2] => 1011011 => 2
[8,5,1,2,3,6,7,4] => 1100001 => 1
[2,8,6,1,5,4,7,3] => 0110101 => 2
[8,3,2,6,1,5,7,4] => 1101001 => 2
[3,8,6,4,7,1,2,5] => 0110100 => 2
[1,8,7,5,4,3,2,6] => 0111110 => 1
[8,6,4,7,1,3,2,5] => 1101010 => 3
[3,1,4,7,6,2,5,8] => 1001100 => 2
[5,3,4,1,6,2,7,8] => 1010100 => 3
[2,7,1,4,6,3,5,8] => 0100100 => 2
[7,3,1,6,5,2,4,8] => 1101100 => 2
[7,1,5,2,4,6,3,8] => 1010010 => 3
[6,1,4,5,2,7,3,8] => 1001010 => 3
[6,1,5,8,2,7,4,3] => 1001011 => 2
[7,1,2,3,6,4,5,8] => 1000100 => 2
[7,1,2,3,9,5,6,10,8,4] => 100010011 => 2
[6,1,2,9,4,5,3,10,8,7] => 100101011 => 3
[9,1,2,3,8,5,10,7,6,4] => 100010111 => 2
[9,1,2,8,4,3,10,7,5,6] => 100110110 => 3
[8,1,2,7,4,10,6,5,3,9] => 100101110 => 3
[9,1,8,3,2,5,10,7,4,6] => 101100110 => 3
[8,1,7,3,2,10,6,4,5,9] => 101101100 => 3
[7,1,2,3,10,5,6,9,8,4] => 100010011 => 2
[6,1,2,10,4,5,3,9,8,7] => 100101011 => 3
[8,1,2,3,10,5,9,6,7,4] => 100010101 => 3
[8,1,2,10,4,3,9,5,7,6] => 100110101 => 3
[7,1,2,10,4,9,5,3,6,8] => 100101100 => 3
[8,1,10,3,2,5,9,4,7,6] => 101100101 => 3
[7,1,10,3,2,9,4,5,6,8] => 101101000 => 3
[10,1,2,3,9,5,8,7,6,4] => 100010111 => 2
[10,1,2,9,4,3,8,7,5,6] => 100110110 => 3
[10,1,2,9,4,8,3,6,5,7] => 100101010 => 4
[9,1,2,8,4,7,6,5,3,10] => 100101110 => 3
[10,1,9,3,2,5,8,7,4,6] => 101100110 => 3
[10,1,9,3,2,8,5,6,4,7] => 101101010 => 4
[9,1,8,3,2,7,6,4,5,10] => 101101100 => 3
[8,1,2,3,10,9,5,7,6,4] => 100011011 => 2
[8,1,2,10,3,9,4,7,6,5] => 100101011 => 3
[7,1,2,10,9,4,6,3,5,8] => 100110100 => 3
[8,1,10,2,4,9,3,7,6,5] => 101001011 => 3
[7,1,10,2,9,3,6,4,5,8] => 101010100 => 4
[10,1,2,3,9,8,5,6,7,4] => 100011001 => 2
[10,1,2,9,3,8,4,6,7,5] => 100101001 => 3
[10,1,2,9,8,4,3,5,6,7] => 100111000 => 2
[9,1,2,8,7,4,5,6,3,10] => 100110010 => 3
[10,1,9,2,4,8,3,6,7,5] => 101001001 => 3
[10,1,9,2,8,3,4,5,6,7] => 101010000 => 3
[9,1,8,2,7,3,5,6,4,10] => 101010010 => 4
[10,1,9,8,3,2,6,4,5,7] => 101110100 => 3
[9,1,8,7,3,2,4,5,6,10] => 101110000 => 2
[8,10,1,3,4,9,2,7,6,5] => 010001011 => 2
[7,10,1,3,9,2,6,4,5,8] => 010010100 => 3
[10,9,1,3,4,8,2,6,7,5] => 110001001 => 2
[10,9,1,3,8,2,4,5,6,7] => 110010000 => 2
[9,8,1,3,7,2,5,6,4,10] => 110010010 => 3
[10,9,1,8,2,3,6,4,5,7] => 110100100 => 3
[9,8,1,7,2,3,4,5,6,10] => 110100000 => 2
[6,3,1,8,5,4,7,2] => 1101101 => 2
[6,1,3,8,7,4,5,2] => 1001101 => 2
[2,8,4,6,5,1,7,3] => 0101101 => 2
[7,4,1,3,6,5,2,8] => 1100110 => 2
[5,7,2,8,1,3,6,4] => 0101001 => 2
[6,5,1,4,7,3,2,8] => 1100110 => 2
[2,7,8,4,1,3,6,5] => 0011001 => 1
[2,4,6,5,7,8,1,3] => 0010010 => 2
[2,4,6,7,5,8,1,3] => 0001010 => 2
[2,4,6,3,7,8,1,5] => 0010010 => 2
[2,4,5,6,8,7,1,3] => 0000110 => 1
[2,4,5,6,8,3,7,1] => 0000101 => 1
[2,4,5,6,3,8,1,7] => 0001010 => 2
[2,3,4,6,8,5,1,7] => 0000110 => 1
[5,2,8,3,4,1,6,7] => 1010100 => 3
[3,6,4,1,2,7,8,5] => 0110001 => 1
[4,1,7,3,8,6,2,5] => 1010110 => 3
[8,4,1,2,5,3,7,6] => 1100101 => 2
[1,5,2,7,6,8,4,3] => 0101011 => 2
[4,7,6,8,3,1,2,5] => 0101100 => 2
[4,8,2,7,6,5,1,3] => 0101110 => 2
[7,4,2,8,6,5,1,3] => 1101110 => 2
[8,6,5,2,7,1,4,3] => 1110101 => 2
[6,5,8,2,7,1,4,3] => 1010101 => 3
[7,5,8,2,1,6,4,3] => 1011011 => 2
[3,2,1,6,5,8,4,7] => 1101010 => 3
[2,6,4,8,5,7,3,1] => 0101011 => 2
[6,3,1,4,5,8,2,7] => 1100010 => 2
[3,4,8,5,2,1,7,6] => 0011101 => 1
[4,8,7,1,3,2,6,5] => 0110101 => 2
[5,8,7,4,6,1,3,2] => 0110101 => 2
[3,4,1,8,7,6,2,5] => 0101110 => 2
[1,3,5,6,8,7,2,4] => 0000110 => 1
[2,8,7,5,4,1,6,3] => 0111101 => 1
[8,1,5,7,4,2,6,3] => 1001101 => 2
[5,8,7,3,4,1,6,2] => 0110101 => 2
[4,6,1,3,2,8,5,7] => 0101010 => 3
[2,6,5,8,3,1,4,7] => 0101100 => 2
[6,7,8,2,4,5,3,1] => 0010011 => 1
[3,2,8,4,5,7,1,6] => 1010010 => 3
[6,1,8,2,4,5,3,7] => 1010010 => 3
[8,3,6,4,2,7,1,5] => 1011010 => 3
[1,3,8,4,7,6,2,5] => 0010110 => 2
[8,3,7,5,4,1,2,6] => 1011100 => 2
[2,6,4,7,8,5,1,3] => 0100110 => 2
[5,4,3,7,6,1,8,2] => 1101101 => 2
[8,6,3,7,1,4,2,5] => 1101010 => 3
[3,1,2,8,7,6,4,5] => 1001110 => 2
[8,5,4,1,2,3,7,6] => 1110001 => 1
[8,3,2,1,6,4,7,5] => 1110101 => 2
[2,3,8,4,1,7,5,6] => 0011010 => 2
[4,6,1,3,2,7,8,5] => 0101001 => 2
[6,7,2,5,8,4,1,3] => 0100110 => 2
[4,1,7,8,2,5,6,3] => 1001001 => 2
[3,4,6,7,1,5,8,2] => 0001001 => 1
[3,4,5,7,8,1,6,2] => 0000101 => 1
[1,8,7,4,3,5,2,6] => 0111010 => 2
[2,4,5,8,1,3,7,6] => 0001001 => 1
[2,7,8,6,5,3,1,4] => 0011110 => 1
[6,3,1,5,8,4,2,7] => 1100110 => 2
[2,8,3,5,6,1,4,7] => 0100100 => 2
[1,3,6,4,2,7,5,8] => 0011010 => 2
[2,3,7,5,8,1,4,6] => 0010100 => 2
[3,2,8,5,6,1,4,7] => 1010100 => 3
[7,2,5,8,1,4,6,3] => 1001001 => 2
[4,7,5,8,1,2,6,3] => 0101001 => 2
[4,7,5,8,1,2,3,6] => 0101000 => 2
[3,4,7,5,2,8,1,6] => 0011010 => 2
[4,3,2,5,7,8,1,6] => 1100010 => 2
[2,4,7,5,8,3,1,6] => 0010110 => 2
[2,5,4,7,3,8,1,6] => 0101010 => 3
[3,7,8,4,2,1,6,5] => 0011101 => 1
[5,6,7,9,1,2,3,4,8] => 00010000 => 1
[4,5,6,7,9,1,2,3,8] => 00001000 => 1
[7,8,10,1,2,3,4,5,6,9] => 001000000 => 1
[4,5,6,7,8,10,1,2,3,9] => 000001000 => 1
[8,5,4,7,6,3,1,2] => 1101110 => 2
[1,5,4,8,7,6,2,3] => 0101110 => 2
[3,2,4,5,8,1,6,7] => 1000100 => 2
[3,6,8,4,2,7,1,5] => 0011010 => 2
[1,4,7,6,3,8,2,5] => 0011010 => 2
[3,6,5,1,7,2,8,4] => 0110101 => 2
[7,4,1,6,2,8,5,3] => 1101011 => 2
[1,3,6,8,2,4,7,5] => 0001001 => 1
[1,6,7,4,3,8,2,5] => 0011010 => 2
[7,3,1,6,5,2,8,4] => 1101101 => 2
[8,5,4,1,6,2,7,3] => 1110101 => 2
[4,7,2,8,5,1,6,3] => 0101101 => 2
[7,8,6,2,1,5,4,3] => 0111011 => 1
[8,6,2,7,3,5,1,4] => 1101010 => 3
[2,1,3,8,7,5,6,4] => 1001101 => 2
[8,1,7,3,6,5,2,4] => 1010110 => 3
[1,6,5,7,4,8,3,9,2] => 01010101 => 3
[5,4,6,3,8,2,7,1,9] => 10101010 => 4
[1,6,7,5,8,4,9,3,10,2] => 001010101 => 3
[6,5,7,4,8,3,9,2,10,1,11] => 1010101010 => 5
[1,6,4,7,3,8,5,2] => 0101011 => 2
[1,7,6,8,5,9,4,10,3,11,2] => 0101010101 => 4
[1,2,3,4,5,6,8,10,7,9] => 000000010 => 1
[3,4,5,6,7,8,2,1,9] => 00000110 => 1
[3,4,5,6,7,2,1,8,9] => 00001100 => 1
[4,5,6,7,8,1,2,3,9] => 00001000 => 1
[4,8,1,6,3,7,2,5] => 0101010 => 3
[8,5,4,1,6,3,7,2] => 1110101 => 2
[1,7,6,2,4,8,5,3] => 0110011 => 1
[5,7,3,2,4,8,6,1] => 0110011 => 1
[2,8,4,6,3,5,1,7] => 0101010 => 3
[2,7,8,3,6,4,5,1] => 0010101 => 2
[3,8,1,4,6,5,2,7] => 0100110 => 2
[2,7,5,4,1,8,3,6] => 0111010 => 2
[4,6,1,8,5,3,2,7] => 0101110 => 2
[3,8,5,2,1,6,4,7] => 0111010 => 2
[5,1,4,8,2,6,3,7] => 1001010 => 3
[4,5,8,1,3,7,6,2] => 0010011 => 1
[8,6,7,1,4,3,2,5] => 1010110 => 3
[1,4,7,8,6,3,5,2] => 0001101 => 1
[8,5,2,6,3,4,7,1] => 1101001 => 2
[8,3,6,1,2,7,4,5] => 1010010 => 3
[3,8,6,1,2,5,7,4] => 0110001 => 1
[3,7,6,2,1,8,5,4] => 0111011 => 1
[4,3,7,6,1,8,5,2] => 1011011 => 2
[8,6,3,2,7,1,5,4] => 1110101 => 2
[6,8,1,5,4,7,2,3] => 0101010 => 3
[6,7,2,5,4,8,1,3] => 0101010 => 3
[7,6,2,4,8,5,1,3] => 1100110 => 2
[4,6,8,7,3,1,2,5] => 0011100 => 1
[4,7,5,2,6,3,8,1] => 0110101 => 2
[3,5,6,2,8,1,4,7] => 0010100 => 2
[8,9,10,4,5,6,2,3,1,7] => 001001010 => 3
[8,9,4,5,6,10,2,3,1,7] => 010001010 => 3
[8,9,10,4,5,2,3,6,1,7] => 001010010 => 3
[8,9,4,5,10,2,3,6,1,7] => 010010010 => 3
[8,9,4,5,2,3,6,10,1,7] => 010100010 => 3
[8,4,5,9,10,2,3,6,1,7] => 100010010 => 3
[8,4,5,9,2,3,6,10,1,7] => 100100010 => 3
[8,9,10,4,5,6,2,1,3,7] => 001001100 => 2
[8,9,4,5,6,10,2,1,3,7] => 010001100 => 2
[8,9,10,4,5,2,6,1,3,7] => 001010100 => 3
[8,9,4,5,10,2,6,1,3,7] => 010010100 => 3
[8,9,4,5,2,6,10,1,3,7] => 010100100 => 3
[8,4,5,9,10,2,6,1,3,7] => 100010100 => 3
[8,4,5,9,2,6,10,1,3,7] => 100100100 => 3
[8,9,10,4,5,2,1,3,6,7] => 001011000 => 2
[8,9,4,5,10,2,1,3,6,7] => 010011000 => 2
[8,9,4,5,2,10,1,3,6,7] => 010101000 => 3
[8,9,4,5,2,1,3,6,10,7] => 010110001 => 2
[8,4,5,9,10,2,1,3,6,7] => 100011000 => 2
[8,4,5,9,2,10,1,3,6,7] => 100101000 => 3
[8,4,5,9,2,1,3,6,10,7] => 100110001 => 2
[8,9,10,4,2,5,6,1,3,7] => 001100100 => 2
[8,9,4,10,2,5,6,1,3,7] => 010100100 => 3
[8,9,4,2,5,6,10,1,3,7] => 011000100 => 2
[8,4,9,10,2,5,6,1,3,7] => 100100100 => 3
[8,4,9,2,5,6,10,1,3,7] => 101000100 => 3
[8,9,10,4,2,5,1,3,6,7] => 001101000 => 2
[8,9,4,10,2,5,1,3,6,7] => 010101000 => 3
[8,9,4,2,5,10,1,3,6,7] => 011001000 => 2
[8,9,4,2,5,1,3,6,10,7] => 011010001 => 2
[8,4,9,10,2,5,1,3,6,7] => 100101000 => 3
[8,4,9,2,5,1,3,6,10,7] => 101010001 => 3
[8,4,2,5,9,10,1,3,6,7] => 110001000 => 2
[8,4,2,5,9,1,3,6,10,7] => 110010001 => 2
[4,8,9,10,2,5,6,1,3,7] => 000100100 => 2
[4,8,9,2,5,6,10,1,3,7] => 001000100 => 2
[4,8,9,10,2,5,1,3,6,7] => 000101000 => 2
[4,8,9,2,5,10,1,3,6,7] => 001001000 => 2
[4,8,9,2,5,1,3,6,10,7] => 001010001 => 2
[4,8,2,5,9,10,1,3,6,7] => 010001000 => 2
[4,8,2,5,9,1,3,6,10,7] => 010010001 => 2
[5,1,2,4,3,7,6,8] => 1001010 => 3
[6,1,8,2,4,3,5,7] => 1010100 => 3
[1,6,8,2,5,3,4,7] => 0010100 => 2
[8,7,6,2,4,5,1,3] => 1110010 => 2
[8,7,6,2,4,5,3,1] => 1110011 => 1
[5,4,8,7,1,2,6,3] => 1011001 => 2
[2,5,6,4,3,8,1,7] => 0011010 => 2
[8,7,3,5,1,4,6,2] => 1101001 => 2
[8,6,3,5,2,1,4,7] => 1101100 => 2
[8,7,3,5,2,4,6,1] => 1101001 => 2
[8,4,2,7,6,5,1,3] => 1101110 => 2
[4,6,3,8,5,2,7,1] => 0101101 => 2
[8,7,1,4,5,6,2,3] => 1100010 => 2
[4,1,3,8,5,6,2,7] => 1001010 => 3
[5,2,8,3,1,6,7,4] => 1011001 => 2
[1,7,8,6,3,2,5,4] => 0011101 => 1
[3,7,2,4,5,6,1,8] => 0100010 => 2
[3,2,8,1,5,7,4,6] => 1010010 => 3
[3,4,6,7,2,1,5,8] => 0001100 => 1
[2,6,7,1,4,3,8,5] => 0010101 => 2
[3,2,7,4,8,5,6,1] => 1010101 => 3
[6,3,8,5,4,2,7,1] => 1011101 => 2
[7,4,6,1,3,5,2,8] => 1010010 => 3
[1,5,3,8,7,4,6,2] => 0101101 => 2
[5,1,3,8,7,4,6,2] => 1001101 => 2
[2,5,3,8,7,4,1,6] => 0101110 => 2
[6,8,3,5,1,2,7,4] => 0101001 => 2
[5,8,2,7,4,6,3,1] => 0101011 => 2
[4,5,2,8,3,7,1,6] => 0101010 => 3
[7,8,5,1,6,4,3,2] => 0110111 => 1
[8,7,5,1,6,4,3,2] => 1110111 => 1
[4,5,8,3,1,2,7,6] => 0011001 => 1
[4,6,8,3,2,1,7,5] => 0011101 => 1
[4,6,8,3,5,1,2,7] => 0010100 => 2
[1,4,6,3,7,5,2,8] => 0010110 => 2
[4,5,2,6,8,7,3,1] => 0100111 => 1
[1,3,8,7,4,5,6,2] => 0011001 => 1
[7,3,1,8,4,5,6,2] => 1101001 => 2
[3,2,8,7,4,5,6,1] => 1011001 => 2
[6,2,4,3,7,5,8,1] => 1010101 => 3
[6,4,2,5,1,7,8,3] => 1101001 => 2
[3,8,2,1,5,7,6,4] => 0110011 => 1
[1,3,2,8,7,4,6,5] => 0101101 => 2
[7,5,2,8,3,1,6,4] => 1101101 => 2
[5,4,2,7,3,8,6,1] => 1101011 => 2
[4,6,3,7,8,1,2,5] => 0100100 => 2
[8,3,5,4,7,1,2,6] => 1010100 => 3
[6,2,5,4,1,7,8,3] => 1011001 => 2
[4,1,5,6,3,8,7,2] => 1001011 => 2
[8,5,1,6,3,2,4,7] => 1101100 => 2
[6,8,7,4,3,2,5,1] => 0111101 => 1
[2,8,5,1,3,7,6,4] => 0110011 => 1
[5,6,4,1,8,2,7,3] => 0110101 => 2
[6,4,5,1,3,8,7,2] => 1010011 => 2
[6,1,3,5,4,8,2,7] => 1001010 => 3
[1,3,8,7,2,5,6,4] => 0011001 => 1
[2,5,4,1,8,3,7,6] => 0110101 => 2
[5,1,4,8,3,7,6,2] => 1001011 => 2
[8,4,1,2,7,6,5,3] => 1100111 => 1
[4,8,3,2,7,6,5,1] => 0110111 => 1
[1,8,7,3,4,6,5,2] => 0110011 => 1
[4,3,1,2,6,5,8,7,9] => 11001010 => 3
[6,5,3,1,2,4,8,7,9] => 11100010 => 2
[8,7,5,3,1,2,4,6,9] => 11110000 => 1
[7,5,3,1,2,4,6,9,8] => 11100001 => 1
[5,3,1,2,4,7,6,9,8] => 11000101 => 2
[4,1,2,6,5,3,8,7,9] => 10011010 => 3
[6,5,3,1,2,4,8,7,10,9] => 111000101 => 2
[6,3,1,2,4,8,7,5,9] => 11000110 => 2
[8,7,5,3,1,2,4,6,10,9] => 111100001 => 1
[8,5,3,1,2,4,6,9,7] => 11100001 => 1
[10,9,7,5,3,1,2,4,6,8] => 111110000 => 1
[5,3,1,2,4,6,8,7] => 1100001 => 1
[8,5,7,3,1,2,4,6] => 1011000 => 2
[7,5,3,1,2,4,6,8,9] => 11100000 => 1
[3,1,2,8,7,5,4,6] => 1001110 => 2
[5,3,1,2,4,9,7,6,8] => 11000110 => 2
[7,5,3,1,2,4,6,9,8,10] => 111000010 => 2
[3,1,2,7,5,4,6,9,8] => 10011001 => 2
[5,3,1,2,4,7,6,9,8,10] => 110001010 => 3
[1,5,3,2,4,7,6,9,8] => 01100101 => 2
[1,4,3,8,5,7,2,6] => 0101010 => 3
[6,7,1,5,2,8,4,3] => 0101011 => 2
[1,5,3,7,6,4,8,2] => 0101101 => 2
[4,8,1,3,6,2,7,5] => 0100101 => 2
[2,7,3,4,8,6,5,1] => 0100111 => 1
[1,8,2,4,7,3,6,5] => 0100101 => 2
[6,2,3,8,1,5,7,4] => 1001001 => 2
[2,5,7,4,8,3,6,1] => 0010101 => 2
[8,5,6,2,4,7,1,3] => 1010010 => 3
[4,8,5,6,7,1,3,2] => 0100101 => 2
[8,1,5,7,3,6,4,2] => 1001011 => 2
[2,7,6,4,3,8,5,1] => 0111011 => 1
[3,8,6,2,7,5,4,1] => 0110111 => 1
[4,8,1,6,2,5,3,7] => 0101010 => 3
[1,8,4,2,5,7,3,6] => 0110010 => 2
[5,8,3,1,2,4,6,7] => 0110000 => 1
[1,4,8,5,2,3,6,7] => 0011000 => 1
[1,4,8,5,2,3,7,6] => 0011001 => 1
[1,5,8,7,2,4,3,6] => 0011010 => 2
[1,5,4,2,8,3,7,6] => 0110101 => 2
[1,2,8,7,3,5,4,6] => 0011010 => 2
[8,7,1,3,2,5,4,6] => 1101010 => 3
[6,7,4,2,8,1,3,5] => 0110100 => 2
[4,1,6,8,7,2,3,5] => 1001100 => 2
[4,7,5,6,2,8,3,1] => 0101011 => 2
[8,4,3,6,7,5,2,1] => 1100111 => 1
[6,7,5,2,8,4,3,1] => 0110111 => 1
[6,8,4,3,2,7,5,1] => 0111011 => 1
[2,1,4,3,6,5,9,7,10,8] => 101010101 => 4
[2,1,4,3,7,5,8,6,10,9] => 101010101 => 4
[2,1,4,3,7,5,9,6,10,8] => 101010101 => 4
[2,1,4,3,8,5,9,6,10,7] => 101010101 => 4
[2,1,5,3,6,4,8,7,10,9] => 101010101 => 4
[2,1,5,3,6,4,9,7,10,8] => 101010101 => 4
[2,1,5,3,7,4,8,6,10,9] => 101010101 => 4
[2,1,5,3,7,4,9,6,10,8] => 101010101 => 4
[2,1,5,3,8,4,9,6,10,7] => 101010101 => 4
[2,1,6,3,7,4,8,5,10,9] => 101010101 => 4
[2,1,6,3,7,4,9,5,10,8] => 101010101 => 4
[2,1,6,3,8,4,9,5,10,7] => 101010101 => 4
[2,1,7,3,8,4,9,5,10,6] => 101010101 => 4
[3,1,4,2,6,5,9,7,10,8] => 101010101 => 4
[3,1,4,2,7,5,8,6,10,9] => 101010101 => 4
[3,1,4,2,7,5,9,6,10,8] => 101010101 => 4
[3,1,4,2,8,5,9,6,10,7] => 101010101 => 4
[3,1,5,2,6,4,9,7,10,8] => 101010101 => 4
[3,1,5,2,8,4,9,6,10,7] => 101010101 => 4
[3,1,6,2,7,4,8,5,10,9] => 101010101 => 4
[3,1,6,2,7,4,9,5,10,8] => 101010101 => 4
[3,1,6,2,8,4,9,5,10,7] => 101010101 => 4
[3,1,7,2,8,4,9,5,10,6] => 101010101 => 4
[4,1,5,2,6,3,9,7,10,8] => 101010101 => 4
[4,1,5,2,7,3,8,6,10,9] => 101010101 => 4
[4,1,5,2,7,3,9,6,10,8] => 101010101 => 4
[4,1,5,2,8,3,9,6,10,7] => 101010101 => 4
[4,1,6,2,7,3,8,5,10,9] => 101010101 => 4
[4,1,6,2,7,3,9,5,10,8] => 101010101 => 4
[4,1,6,2,8,3,9,5,10,7] => 101010101 => 4
[4,1,7,2,8,3,9,5,10,6] => 101010101 => 4
[5,1,6,2,7,3,9,4,10,8] => 101010101 => 4
[5,1,6,2,8,3,9,4,10,7] => 101010101 => 4
[5,1,7,2,8,3,9,4,10,6] => 101010101 => 4
[2,1,4,3,6,5,8,7,11,9,12,10] => 10101010101 => 5
[2,1,4,3,6,5,9,7,10,8,12,11] => 10101010101 => 5
[2,1,4,3,6,5,9,7,11,8,12,10] => 10101010101 => 5
[2,1,4,3,6,5,10,7,11,8,12,9] => 10101010101 => 5
[2,1,4,3,7,5,8,6,10,9,12,11] => 10101010101 => 5
[2,1,4,3,7,5,8,6,11,9,12,10] => 10101010101 => 5
[2,1,4,3,7,5,9,6,10,8,12,11] => 10101010101 => 5
[2,1,4,3,7,5,9,6,11,8,12,10] => 10101010101 => 5
[2,1,4,3,7,5,10,6,11,8,12,9] => 10101010101 => 5
[2,1,4,3,8,5,9,6,10,7,12,11] => 10101010101 => 5
[2,1,4,3,8,5,9,6,11,7,12,10] => 10101010101 => 5
[2,1,4,3,8,5,10,6,11,7,12,9] => 10101010101 => 5
[2,1,4,3,9,5,10,6,11,7,12,8] => 10101010101 => 5
[2,1,5,3,6,4,8,7,10,9,12,11] => 10101010101 => 5
[2,1,5,3,6,4,8,7,11,9,12,10] => 10101010101 => 5
[2,1,5,3,6,4,9,7,10,8,12,11] => 10101010101 => 5
[2,1,5,3,6,4,9,7,11,8,12,10] => 10101010101 => 5
[2,1,5,3,6,4,10,7,11,8,12,9] => 10101010101 => 5
[2,1,5,3,7,4,8,6,10,9,12,11] => 10101010101 => 5
[2,1,5,3,7,4,8,6,11,9,12,10] => 10101010101 => 5
[2,1,5,3,7,4,9,6,10,8,12,11] => 10101010101 => 5
[2,1,5,3,7,4,9,6,11,8,12,10] => 10101010101 => 5
[2,1,5,3,7,4,10,6,11,8,12,9] => 10101010101 => 5
[2,1,5,3,8,4,9,6,10,7,12,11] => 10101010101 => 5
[2,1,5,3,8,4,9,6,11,7,12,10] => 10101010101 => 5
[2,1,5,3,8,4,10,6,11,7,12,9] => 10101010101 => 5
[2,1,5,3,9,4,10,6,11,7,12,8] => 10101010101 => 5
[2,1,6,3,7,4,8,5,10,9,12,11] => 10101010101 => 5
[2,1,6,3,7,4,8,5,11,9,12,10] => 10101010101 => 5
[2,1,6,3,7,4,9,5,10,8,12,11] => 10101010101 => 5
[2,1,6,3,7,4,9,5,11,8,12,10] => 10101010101 => 5
[2,1,6,3,7,4,10,5,11,8,12,9] => 10101010101 => 5
[2,1,6,3,8,4,9,5,10,7,12,11] => 10101010101 => 5
[2,1,6,3,8,4,9,5,11,7,12,10] => 10101010101 => 5
[2,1,6,3,8,4,10,5,11,7,12,9] => 10101010101 => 5
[2,1,6,3,9,4,10,5,11,7,12,8] => 10101010101 => 5
[2,1,7,3,8,4,9,5,10,6,12,11] => 10101010101 => 5
[2,1,7,3,8,4,9,5,11,6,12,10] => 10101010101 => 5
[2,1,7,3,8,4,10,5,11,6,12,9] => 10101010101 => 5
[2,1,7,3,9,4,10,5,11,6,12,8] => 10101010101 => 5
[2,1,8,3,9,4,10,5,11,6,12,7] => 10101010101 => 5
[3,1,4,2,6,5,8,7,10,9,12,11] => 10101010101 => 5
[3,1,4,2,6,5,8,7,11,9,12,10] => 10101010101 => 5
[3,1,4,2,6,5,9,7,10,8,12,11] => 10101010101 => 5
[3,1,4,2,6,5,9,7,11,8,12,10] => 10101010101 => 5
[3,1,4,2,6,5,10,7,11,8,12,9] => 10101010101 => 5
[3,1,4,2,7,5,8,6,10,9,12,11] => 10101010101 => 5
[3,1,4,2,7,5,8,6,11,9,12,10] => 10101010101 => 5
[3,1,4,2,7,5,9,6,10,8,12,11] => 10101010101 => 5
[3,1,4,2,7,5,9,6,11,8,12,10] => 10101010101 => 5
[3,1,4,2,7,5,10,6,11,8,12,9] => 10101010101 => 5
[3,1,4,2,8,5,9,6,10,7,12,11] => 10101010101 => 5
[3,1,4,2,8,5,9,6,11,7,12,10] => 10101010101 => 5
[3,1,4,2,8,5,10,6,11,7,12,9] => 10101010101 => 5
[3,1,4,2,9,5,10,6,11,7,12,8] => 10101010101 => 5
[3,1,5,2,6,4,8,7,10,9,12,11] => 10101010101 => 5
[3,1,5,2,6,4,8,7,11,9,12,10] => 10101010101 => 5
[3,1,5,2,6,4,9,7,10,8,12,11] => 10101010101 => 5
[3,1,5,2,6,4,9,7,11,8,12,10] => 10101010101 => 5
[3,1,5,2,6,4,10,7,11,8,12,9] => 10101010101 => 5
[3,1,5,2,7,4,8,6,10,9,12,11] => 10101010101 => 5
[3,1,5,2,7,4,8,6,11,9,12,10] => 10101010101 => 5
[3,1,5,2,7,4,9,6,10,8,12,11] => 10101010101 => 5
[3,1,5,2,7,4,9,6,11,8,12,10] => 10101010101 => 5
[3,1,5,2,7,4,10,6,11,8,12,9] => 10101010101 => 5
[3,1,5,2,8,4,9,6,10,7,12,11] => 10101010101 => 5
[3,1,5,2,8,4,9,6,11,7,12,10] => 10101010101 => 5
[3,1,5,2,8,4,10,6,11,7,12,9] => 10101010101 => 5
[3,1,5,2,9,4,10,6,11,7,12,8] => 10101010101 => 5
[3,1,6,2,7,4,8,5,10,9,12,11] => 10101010101 => 5
[3,1,6,2,7,4,8,5,11,9,12,10] => 10101010101 => 5
[3,1,6,2,7,4,9,5,10,8,12,11] => 10101010101 => 5
[3,1,6,2,7,4,9,5,11,8,12,10] => 10101010101 => 5
[3,1,6,2,7,4,10,5,11,8,12,9] => 10101010101 => 5
[3,1,6,2,8,4,9,5,10,7,12,11] => 10101010101 => 5
[3,1,6,2,8,4,9,5,11,7,12,10] => 10101010101 => 5
[3,1,6,2,8,4,10,5,11,7,12,9] => 10101010101 => 5
[3,1,6,2,9,4,10,5,11,7,12,8] => 10101010101 => 5
[3,1,7,2,8,4,9,5,10,6,12,11] => 10101010101 => 5
[3,1,7,2,8,4,9,5,11,6,12,10] => 10101010101 => 5
[3,1,7,2,8,4,10,5,11,6,12,9] => 10101010101 => 5
[3,1,7,2,9,4,10,5,11,6,12,8] => 10101010101 => 5
[3,1,8,2,9,4,10,5,11,6,12,7] => 10101010101 => 5
[4,1,5,2,6,3,8,7,10,9,12,11] => 10101010101 => 5
[4,1,5,2,6,3,8,7,11,9,12,10] => 10101010101 => 5
[4,1,5,2,6,3,9,7,10,8,12,11] => 10101010101 => 5
[4,1,5,2,6,3,9,7,11,8,12,10] => 10101010101 => 5
[4,1,5,2,6,3,10,7,11,8,12,9] => 10101010101 => 5
[4,1,5,2,7,3,8,6,10,9,12,11] => 10101010101 => 5
[4,1,5,2,7,3,8,6,11,9,12,10] => 10101010101 => 5
[4,1,5,2,7,3,9,6,10,8,12,11] => 10101010101 => 5
[4,1,5,2,7,3,9,6,11,8,12,10] => 10101010101 => 5
[4,1,5,2,7,3,10,6,11,8,12,9] => 10101010101 => 5
[4,1,5,2,8,3,9,6,10,7,12,11] => 10101010101 => 5
[4,1,5,2,8,3,9,6,11,7,12,10] => 10101010101 => 5
[4,1,5,2,8,3,10,6,11,7,12,9] => 10101010101 => 5
[4,1,5,2,9,3,10,6,11,7,12,8] => 10101010101 => 5
[4,1,6,2,7,3,8,5,10,9,12,11] => 10101010101 => 5
[4,1,6,2,7,3,8,5,11,9,12,10] => 10101010101 => 5
[4,1,6,2,7,3,9,5,10,8,12,11] => 10101010101 => 5
[4,1,6,2,7,3,9,5,11,8,12,10] => 10101010101 => 5
[4,1,6,2,7,3,10,5,11,8,12,9] => 10101010101 => 5
[4,1,6,2,8,3,9,5,10,7,12,11] => 10101010101 => 5
[4,1,6,2,8,3,9,5,11,7,12,10] => 10101010101 => 5
[4,1,6,2,8,3,10,5,11,7,12,9] => 10101010101 => 5
[4,1,6,2,9,3,10,5,11,7,12,8] => 10101010101 => 5
[4,1,7,2,8,3,9,5,10,6,12,11] => 10101010101 => 5
[4,1,7,2,8,3,9,5,11,6,12,10] => 10101010101 => 5
[4,1,7,2,8,3,10,5,11,6,12,9] => 10101010101 => 5
[4,1,7,2,9,3,10,5,11,6,12,8] => 10101010101 => 5
[4,1,8,2,9,3,10,5,11,6,12,7] => 10101010101 => 5
[5,1,6,2,7,3,8,4,10,9,12,11] => 10101010101 => 5
[5,1,6,2,7,3,8,4,11,9,12,10] => 10101010101 => 5
[5,1,6,2,7,3,9,4,10,8,12,11] => 10101010101 => 5
[5,1,6,2,7,3,9,4,11,8,12,10] => 10101010101 => 5
[5,1,6,2,7,3,10,4,11,8,12,9] => 10101010101 => 5
[5,1,6,2,8,3,9,4,10,7,12,11] => 10101010101 => 5
[5,1,6,2,8,3,9,4,11,7,12,10] => 10101010101 => 5
[5,1,6,2,8,3,10,4,11,7,12,9] => 10101010101 => 5
[5,1,6,2,9,3,10,4,11,7,12,8] => 10101010101 => 5
[5,1,7,2,8,3,9,4,10,6,12,11] => 10101010101 => 5
[5,1,7,2,8,3,9,4,11,6,12,10] => 10101010101 => 5
[5,1,7,2,8,3,10,4,11,6,12,9] => 10101010101 => 5
[5,1,7,2,9,3,10,4,11,6,12,8] => 10101010101 => 5
[5,1,8,2,9,3,10,4,11,6,12,7] => 10101010101 => 5
[6,1,7,2,8,3,9,4,10,5,12,11] => 10101010101 => 5
[6,1,7,2,8,3,9,4,11,5,12,10] => 10101010101 => 5
[6,1,7,2,8,3,10,4,11,5,12,9] => 10101010101 => 5
[6,1,7,2,9,3,10,4,11,5,12,8] => 10101010101 => 5
[6,1,8,2,9,3,10,4,11,5,12,7] => 10101010101 => 5
[2,9,8,7,6,5,1,4,3] => 01111101 => 1
[2,10,9,8,7,6,5,1,4,3] => 011111101 => 1
[6,1,7,3,5,8,2,4] => 1010010 => 3
[1,3,7,6,4,8,2,5] => 0011010 => 2
[2,6,4,8,7,3,1,5] => 0101110 => 2
[2,1,8,7,3,5,4,6] => 1011010 => 3
[6,1,5,8,7,4,3,2] => 1001111 => 1
[6,1,8,5,7,4,3,2] => 1010111 => 2
[8,5,1,4,7,6,3,2] => 1100111 => 1
[8,1,3,7,2,4,6,5] => 1001001 => 2
[2,6,7,3,5,8,4,1] => 0010011 => 1
[2,6,7,3,5,8,1,4] => 0010010 => 2
[5,3,1,6,4,8,2,7] => 1101010 => 3
[2,5,6,7,1,4,8,3] => 0001001 => 1
[4,7,5,3,2,8,1,6] => 0111010 => 2
[4,7,5,2,8,6,1,3] => 0110110 => 2
[5,8,1,2,7,4,3,6] => 0100110 => 2
[6,3,1,8,2,4,5,7] => 1101000 => 2
[4,6,3,7,8,1,5,2] => 0100101 => 2
[6,3,1,8,4,5,2,7] => 1101010 => 3
[2,1,4,7,5,8,6,3] => 1001011 => 2
[7,6,2,4,8,3,1,5] => 1100110 => 2
[6,5,8,1,4,3,7,2] => 1010101 => 3
[8,1,4,2,7,5,6,3] => 1010101 => 3
[9,3,4,5,6,7,1,2,10,8] => 100001001 => 2
[1,7,2,8,3,9,4,10,5,6] => 010101010 => 4
[1,7,2,8,3,9,10,4,5,6] => 010100100 => 3
[1,7,2,8,9,3,4,10,5,6] => 010010010 => 3
[1,7,2,8,9,3,10,4,5,6] => 010010100 => 3
[1,7,2,8,9,10,3,4,5,6] => 010001000 => 2
[1,7,8,2,3,9,4,10,5,6] => 001001010 => 3
[1,7,8,2,3,9,10,4,5,6] => 001000100 => 2
[1,7,8,2,9,3,4,10,5,6] => 001010010 => 3
[1,7,8,2,9,3,10,4,5,6] => 001010100 => 3
[1,7,8,2,9,10,3,4,5,6] => 001001000 => 2
[1,7,8,9,2,3,4,10,5,6] => 000100010 => 2
[1,7,8,9,2,3,10,4,5,6] => 000100100 => 2
[1,7,8,9,2,10,3,4,5,6] => 000101000 => 2
[7,1,2,8,3,9,4,10,5,6] => 100101010 => 4
[7,1,2,8,3,9,10,4,5,6] => 100100100 => 3
[7,1,2,8,9,3,4,10,5,6] => 100010010 => 3
[7,1,2,8,9,3,10,4,5,6] => 100010100 => 3
[7,1,2,8,9,10,3,4,5,6] => 100001000 => 2
[7,1,8,2,3,9,4,10,5,6] => 101001010 => 4
[7,1,8,2,3,9,10,4,5,6] => 101000100 => 3
[7,1,8,2,9,3,4,10,5,6] => 101010010 => 4
[7,1,8,2,9,10,3,4,5,6] => 101001000 => 3
[7,1,8,9,2,3,4,10,5,6] => 100100010 => 3
[7,1,8,9,2,3,10,4,5,6] => 100100100 => 3
[7,1,8,9,2,10,3,4,5,6] => 100101000 => 3
[7,1,8,9,10,2,3,4,5,6] => 100010000 => 2
[7,8,1,2,3,9,4,10,5,6] => 010001010 => 3
[7,8,1,2,3,9,10,4,5,6] => 010000100 => 2
[7,8,1,2,9,3,4,10,5,6] => 010010010 => 3
[7,8,1,2,9,3,10,4,5,6] => 010010100 => 3
[7,8,1,2,9,10,3,4,5,6] => 010001000 => 2
[7,8,1,9,2,3,4,10,5,6] => 010100010 => 3
[7,8,1,9,2,3,10,4,5,6] => 010100100 => 3
[7,8,1,9,2,10,3,4,5,6] => 010101000 => 3
[7,8,1,9,10,2,3,4,5,6] => 010010000 => 2
[7,8,9,1,2,3,4,10,5,6] => 001000010 => 2
[7,8,9,1,2,3,10,4,5,6] => 001000100 => 2
[7,8,9,1,2,10,3,4,5,6] => 001001000 => 2
[7,8,9,1,10,2,3,4,5,6] => 001010000 => 2
[1,8,2,9,3,10,4,11,5,12,6,7] => 01010101010 => 5
[1,8,2,9,3,10,4,11,12,5,6,7] => 01010100100 => 4
[1,8,2,9,3,10,11,4,5,12,6,7] => 01010010010 => 4
[1,8,2,9,3,10,11,4,12,5,6,7] => 01010010100 => 4
[1,8,2,9,3,10,11,12,4,5,6,7] => 01010001000 => 3
[1,8,2,9,10,3,4,11,5,12,6,7] => 01001001010 => 4
[1,8,2,9,10,3,4,11,12,5,6,7] => 01001000100 => 3
[1,8,2,9,10,3,11,4,5,12,6,7] => 01001010010 => 4
[1,8,2,9,10,3,11,4,12,5,6,7] => 01001010100 => 4
[1,8,2,9,10,3,11,12,4,5,6,7] => 01001001000 => 3
[1,8,2,9,10,11,3,4,5,12,6,7] => 01000100010 => 3
[1,8,2,9,10,11,3,4,12,5,6,7] => 01000100100 => 3
[1,8,2,9,10,11,3,12,4,5,6,7] => 01000101000 => 3
[1,8,2,9,10,11,12,3,4,5,6,7] => 01000010000 => 2
[1,8,9,2,3,10,4,11,5,12,6,7] => 00100101010 => 4
[1,8,9,2,3,10,4,11,12,5,6,7] => 00100100100 => 3
[1,8,9,2,3,10,11,4,5,12,6,7] => 00100010010 => 3
[1,8,9,2,3,10,11,4,12,5,6,7] => 00100010100 => 3
[1,8,9,2,3,10,11,12,4,5,6,7] => 00100001000 => 2
[1,8,9,2,10,3,4,11,5,12,6,7] => 00101001010 => 4
[1,8,9,2,10,3,4,11,12,5,6,7] => 00101000100 => 3
[1,8,9,2,10,3,11,4,5,12,6,7] => 00101010010 => 4
[1,8,9,2,10,3,11,4,12,5,6,7] => 00101010100 => 4
[1,8,9,2,10,3,11,12,4,5,6,7] => 00101001000 => 3
[1,8,9,2,10,11,3,4,5,12,6,7] => 00100100010 => 3
[1,8,9,2,10,11,3,4,12,5,6,7] => 00100100100 => 3
[1,8,9,2,10,11,3,12,4,5,6,7] => 00100101000 => 3
[1,8,9,2,10,11,12,3,4,5,6,7] => 00100010000 => 2
[1,8,9,10,2,3,4,11,5,12,6,7] => 00010001010 => 3
[1,8,9,10,2,3,4,11,12,5,6,7] => 00010000100 => 2
[1,8,9,10,2,3,11,4,5,12,6,7] => 00010010010 => 3
[1,8,9,10,2,3,11,4,12,5,6,7] => 00010010100 => 3
[1,8,9,10,2,3,11,12,4,5,6,7] => 00010001000 => 2
[1,8,9,10,2,11,3,4,5,12,6,7] => 00010100010 => 3
[1,8,9,10,2,11,3,4,12,5,6,7] => 00010100100 => 3
[1,8,9,10,2,11,3,12,4,5,6,7] => 00010101000 => 3
[1,8,9,10,2,11,12,3,4,5,6,7] => 00010010000 => 2
[1,8,9,10,11,2,3,4,5,12,6,7] => 00001000010 => 2
[1,8,9,10,11,2,3,4,12,5,6,7] => 00001000100 => 2
[1,8,9,10,11,2,3,12,4,5,6,7] => 00001001000 => 2
[1,8,9,10,11,2,12,3,4,5,6,7] => 00001010000 => 2
[1,8,9,10,11,12,2,3,4,5,6,7] => 00000100000 => 1
[8,1,2,9,3,10,4,11,5,12,6,7] => 10010101010 => 5
[8,1,2,9,3,10,4,11,12,5,6,7] => 10010100100 => 4
[8,1,2,9,3,10,11,4,5,12,6,7] => 10010010010 => 4
[8,1,2,9,3,10,11,4,12,5,6,7] => 10010010100 => 4
[8,1,2,9,3,10,11,12,4,5,6,7] => 10010001000 => 3
[8,1,2,9,10,3,4,11,5,12,6,7] => 10001001010 => 4
[8,1,2,9,10,3,4,11,12,5,6,7] => 10001000100 => 3
[8,1,2,9,10,3,11,4,5,12,6,7] => 10001010010 => 4
[8,1,2,9,10,3,11,4,12,5,6,7] => 10001010100 => 4
[8,1,2,9,10,3,11,12,4,5,6,7] => 10001001000 => 3
[8,1,2,9,10,11,3,4,5,12,6,7] => 10000100010 => 3
[8,1,2,9,10,11,3,4,12,5,6,7] => 10000100100 => 3
[8,1,2,9,10,11,3,12,4,5,6,7] => 10000101000 => 3
[8,1,2,9,10,11,12,3,4,5,6,7] => 10000010000 => 2
[8,1,9,2,3,10,4,11,5,12,6,7] => 10100101010 => 5
[8,1,9,2,3,10,4,11,12,5,6,7] => 10100100100 => 4
[8,1,9,2,3,10,11,4,5,12,6,7] => 10100010010 => 4
[8,1,9,2,3,10,11,4,12,5,6,7] => 10100010100 => 4
[8,1,9,2,3,10,11,12,4,5,6,7] => 10100001000 => 3
[8,1,9,2,10,3,4,11,5,12,6,7] => 10101001010 => 5
[8,1,9,2,10,3,4,11,12,5,6,7] => 10101000100 => 4
[8,1,9,2,10,3,11,4,5,12,6,7] => 10101010010 => 5
[8,1,9,2,10,11,3,4,5,12,6,7] => 10100100010 => 4
[8,1,9,2,10,11,3,4,12,5,6,7] => 10100100100 => 4
[8,1,9,10,2,3,4,11,5,12,6,7] => 10010001010 => 4
[8,1,9,10,2,3,4,11,12,5,6,7] => 10010000100 => 3
[8,1,9,10,2,3,11,4,5,12,6,7] => 10010010010 => 4
[8,1,9,10,2,3,11,4,12,5,6,7] => 10010010100 => 4
[8,1,9,10,2,3,11,12,4,5,6,7] => 10010001000 => 3
[8,1,9,10,2,11,3,4,5,12,6,7] => 10010100010 => 4
[8,1,9,10,2,11,3,4,12,5,6,7] => 10010100100 => 4
[8,1,9,10,11,2,3,4,5,12,6,7] => 10001000010 => 3
[8,1,9,10,11,2,3,4,12,5,6,7] => 10001000100 => 3
[8,1,9,10,11,2,3,12,4,5,6,7] => 10001001000 => 3
[8,9,1,2,3,10,4,11,5,12,6,7] => 01000101010 => 4
[8,9,1,2,3,10,4,11,12,5,6,7] => 01000100100 => 3
[8,9,1,2,3,10,11,4,5,12,6,7] => 01000010010 => 3
[8,9,1,2,3,10,11,4,12,5,6,7] => 01000010100 => 3
[8,9,1,2,3,10,11,12,4,5,6,7] => 01000001000 => 2
[8,9,1,2,10,3,4,11,5,12,6,7] => 01001001010 => 4
[8,9,1,2,10,3,4,11,12,5,6,7] => 01001000100 => 3
[8,9,1,2,10,3,11,4,5,12,6,7] => 01001010010 => 4
[8,9,1,2,10,3,11,4,12,5,6,7] => 01001010100 => 4
[8,9,1,2,10,3,11,12,4,5,6,7] => 01001001000 => 3
[8,9,1,2,10,11,3,4,5,12,6,7] => 01000100010 => 3
[8,9,1,2,10,11,3,4,12,5,6,7] => 01000100100 => 3
[8,9,1,2,10,11,3,12,4,5,6,7] => 01000101000 => 3
[8,9,1,2,10,11,12,3,4,5,6,7] => 01000010000 => 2
[8,9,1,10,2,3,4,11,5,12,6,7] => 01010001010 => 4
[8,9,1,10,2,3,4,11,12,5,6,7] => 01010000100 => 3
[8,9,1,10,2,3,11,4,5,12,6,7] => 01010010010 => 4
[8,9,1,10,2,3,11,4,12,5,6,7] => 01010010100 => 4
[8,9,1,10,2,3,11,12,4,5,6,7] => 01010001000 => 3
[8,9,1,10,2,11,3,4,5,12,6,7] => 01010100010 => 4
[8,9,1,10,2,11,3,4,12,5,6,7] => 01010100100 => 4
[8,9,1,10,11,2,3,4,5,12,6,7] => 01001000010 => 3
[8,9,1,10,11,2,3,4,12,5,6,7] => 01001000100 => 3
[8,9,1,10,11,2,3,12,4,5,6,7] => 01001001000 => 3
[8,9,10,1,2,3,4,11,5,12,6,7] => 00100001010 => 3
[8,9,10,1,2,3,4,11,12,5,6,7] => 00100000100 => 2
[8,9,10,1,2,3,11,4,5,12,6,7] => 00100010010 => 3
[8,9,10,1,2,3,11,4,12,5,6,7] => 00100010100 => 3
[8,9,10,1,2,3,11,12,4,5,6,7] => 00100001000 => 2
[8,9,10,1,2,11,3,4,5,12,6,7] => 00100100010 => 3
[8,9,10,1,2,11,3,4,12,5,6,7] => 00100100100 => 3
[8,9,10,1,2,11,3,12,4,5,6,7] => 00100101000 => 3
[8,9,10,1,2,11,12,3,4,5,6,7] => 00100010000 => 2
[8,9,10,1,11,2,3,4,5,12,6,7] => 00101000010 => 3
[8,9,10,1,11,2,3,4,12,5,6,7] => 00101000100 => 3
[8,9,10,1,11,2,3,12,4,5,6,7] => 00101001000 => 3
[8,9,10,11,1,2,3,4,5,12,6,7] => 00010000010 => 2
[8,9,10,11,1,2,3,4,12,5,6,7] => 00010000100 => 2
[8,9,10,11,1,2,3,12,4,5,6,7] => 00010001000 => 2
[8,9,10,11,1,2,12,3,4,5,6,7] => 00010010000 => 2
[8,6,3,5,2,1,7,4] => 1101101 => 2
[6,8,3,1,2,5,4,7] => 0110010 => 2
[5,8,6,4,7,1,2,3] => 0110100 => 2
[2,5,1,8,7,3,4,6] => 0101100 => 2
[7,2,4,3,8,6,1,5] => 1010110 => 3
[1,7,6,5,4,3,2,9,8] => 01111101 => 1
[6,8,4,3,5,1,7,2] => 0110101 => 2
[1,4,7,3,6,8,2,5] => 0010010 => 2
[3,7,1,4,6,8,2,5] => 0100010 => 2
[2,4,7,3,6,8,1,5] => 0010010 => 2
[8,5,7,6,1,3,2,4] => 1011010 => 3
[2,7,5,6,1,8,4,3] => 0101011 => 2
[1,2,6,7,4,5,8,3] => 0001001 => 1
[6,5,2,8,7,1,4,3] => 1101101 => 2
[7,2,3,6,8,1,4,5] => 1000100 => 2
[2,6,1,3,8,5,4,7] => 0100110 => 2
[6,4,1,8,3,2,5,7] => 1101100 => 2
[5,8,1,4,2,7,3,6] => 0101010 => 3
[2,3,1,6,8,7,4,5] => 0100110 => 2
[6,4,8,2,1,7,3,5] => 1011010 => 3
[2,3,1,8,7,5,6,4] => 0101101 => 2
[1,5,6,7,2,4,3,8] => 0001010 => 2
[2,8,6,4,1,5,3,7] => 0111010 => 2
[1,5,7,3,6,2,4,8] => 0010100 => 2
[6,7,4,5,1,3,8,2] => 0101001 => 2
[1,6,5,3,8,2,4,7] => 0110100 => 2
[5,6,1,2,4,8,3,7] => 0100010 => 2
[8,7,4,5,1,3,2,6] => 1101010 => 3
[8,5,1,2,7,4,3,6] => 1100110 => 2
[4,1,8,7,2,5,3,6] => 1011010 => 3
[2,6,3,8,4,1,7,5] => 0101101 => 2
[3,2,4,6,1,8,7,5] => 1001011 => 2
[3,6,7,4,1,2,5,8] => 0011000 => 1
[1,4,7,5,8,2,3,6] => 0010100 => 2
[1,6,8,4,7,3,2,5] => 0010110 => 2
[3,6,7,5,4,8,1,2] => 0011010 => 2
[4,5,7,2,6,3,8,1] => 0010101 => 2
[2,1,5,7,4,6,8,3] => 1001001 => 2
[2,3,5,7,8,1,6,4] => 0000101 => 1
[1,5,7,4,2,3,6,8] => 0011000 => 1
[2,4,7,5,3,6,8,1] => 0011001 => 1
[8,1,7,2,4,6,3,5] => 1010010 => 3
[1,2,4,7,8,6,3,5] => 0000110 => 1
[1,3,6,2,5,8,4,7] => 0010010 => 2
[1,5,3,6,8,2,4,7] => 0100100 => 2
[4,8,1,2,6,3,7,5] => 0100101 => 2
[5,8,1,2,6,3,7,4] => 0100101 => 2
[1,6,2,3,7,5,8,4] => 0100101 => 2
[4,1,2,6,5,7,8,3] => 1001001 => 2
[1,8,4,2,7,3,6,5] => 0110101 => 2
[1,7,5,2,3,8,6,4] => 0110011 => 1
[8,1,4,7,3,5,2,6] => 1001010 => 3
[8,4,3,6,1,7,2,5] => 1101010 => 3
[2,6,1,8,3,7,4,5] => 0101010 => 3
[8,4,2,1,3,7,5,6] => 1110010 => 2
[2,5,1,7,6,8,3,4] => 0101010 => 3
[5,3,1,8,2,4,7,6] => 1101001 => 2
[1,2,6,3,7,5,8,4] => 0010101 => 2
[5,1,8,3,2,4,7,6] => 1011001 => 2
[3,1,5,4,6,7,8,2] => 1010001 => 2
[2,8,5,7,3,1,4,6] => 0101100 => 2
[2,6,8,7,3,1,4,5] => 0011100 => 1
[7,4,2,1,3,8,5,6] => 1110010 => 2
[7,2,1,3,8,5,4,6] => 1100110 => 2
[2,1,7,3,8,6,4,5] => 1010110 => 3
[1,7,5,3,2,4,8,6] => 0111001 => 1
[1,4,2,7,6,5,8,3] => 0101101 => 2
[3,4,1,6,5,7,8,2] => 0101001 => 2
[2,8,7,3,4,1,5,6] => 0110100 => 2
[5,7,6,2,3,8,1,4] => 0110010 => 2
[4,5,7,6,2,8,1,3] => 0011010 => 2
[3,1,8,7,5,2,6,4] => 1011101 => 2
[4,5,6,8,7,2,1,3] => 0001110 => 1
[2,8,3,1,5,4,7,6] => 0110101 => 2
[3,8,4,1,5,2,7,6] => 0110101 => 2
[5,1,7,8,3,2,6,4] => 1001101 => 2
[1,8,6,2,4,3,7,5] => 0110101 => 2
[4,8,3,1,6,2,7,5] => 0110101 => 2
[2,8,3,1,6,4,7,5] => 0110101 => 2
[6,2,7,1,5,8,4,3] => 1010011 => 2
[1,7,8,9,6,5,4,3,2] => 00011111 => 0
[1,6,7,8,9,5,4,3,2] => 00001111 => 0
[1,5,6,7,8,9,4,3,2] => 00000111 => 0
[1,4,5,6,7,8,9,3,2] => 00000011 => 0
[1,8,9,10,7,6,5,4,3,2] => 000111111 => 0
[1,7,6,8,9,5,4,3,2] => 01001111 => 1
[1,7,8,9,10,6,5,4,3,2] => 000011111 => 0
[1,6,5,7,8,9,4,3,2] => 01000111 => 1
[1,6,7,8,9,10,5,4,3,2] => 000001111 => 0
[1,5,4,6,7,8,9,3,2] => 01000011 => 1
[1,5,6,7,8,9,10,4,3,2] => 000000111 => 0
[1,4,5,6,7,8,9,10,3,2] => 000000011 => 0
[4,8,5,1,3,2,6,7] => 0110100 => 2
[5,4,3,1,2,7,6,8] => 1110010 => 2
[4,1,6,5,2,3,7,8] => 1011000 => 2
[7,1,5,2,3,6,4,8] => 1010010 => 3
[4,1,6,3,7,2,5,8] => 1010100 => 3
[4,6,1,2,8,3,7,5] => 0100101 => 2
[4,1,3,6,7,2,5,8] => 1000100 => 2
[2,6,5,1,3,4,7,8] => 0110000 => 1
[2,6,7,4,3,1,5,8] => 0011100 => 1
[2,6,3,1,7,4,5,8] => 0110100 => 2
[6,5,3,7,2,4,1,8] => 1101010 => 3
[2,3,6,7,1,5,4,8] => 0001010 => 2
[2,7,5,8,1,3,6,4] => 0101001 => 2
[5,1,6,7,3,2,4,8] => 1001100 => 2
[5,6,1,4,7,2,3,8] => 0100100 => 2
[1,2,5,7,8,6,3,4] => 0000110 => 1
[1,2,6,7,4,5,3,8] => 0001010 => 2
[1,2,7,8,4,6,3,5] => 0001010 => 2
[8,6,5,2,1,7,4,3] => 1111011 => 1
[4,3,8,6,7,1,5,2] => 1010101 => 3
[8,3,2,4,7,1,6,5] => 1100101 => 2
[7,3,2,8,6,1,5,4] => 1101101 => 2
[7,5,8,2,6,1,4,3] => 1010101 => 3
[7,4,1,2,6,5,8,3] => 1100101 => 2
[5,2,7,4,6,1,8,3] => 1010101 => 3
[7,4,1,2,3,6,8,5] => 1100001 => 1
[5,4,8,6,3,2,1,7] => 1011110 => 2
[8,4,6,7,3,1,5,2] => 1001101 => 2
[4,6,8,5,1,2,7,3] => 0011001 => 1
[4,1,3,6,8,5,2,7] => 1000110 => 2
[6,3,5,7,1,2,8,4] => 1001001 => 2
[1,8,5,3,2,4,6,7] => 0111000 => 1
[1,6,7,3,4,2,5,8] => 0010100 => 2
[1,6,8,3,4,2,5,7] => 0010100 => 2
[1,8,7,5,3,4,2,6] => 0111010 => 2
[1,7,8,5,3,4,2,6] => 0011010 => 2
[1,7,6,8,4,2,3,5] => 0101100 => 2
[1,7,8,6,4,3,2,5] => 0011110 => 1
[9,8,7,6,5,2,1,3,4] => 11111100 => 1
[9,8,6,4,7,2,5,1,3] => 11101010 => 3
[7,2,8,9,10,1,3,4,5,6] => 100010000 => 2
[9,7,8,6,5,4,3,2,1] => 10111111 => 1
[5,1,7,8,4,2,3,6] => 1001100 => 2
[3,8,2,1,6,7,5,4] => 0110011 => 1
[2,8,3,1,7,5,6,4] => 0110101 => 2
[8,5,6,2,1,4,7,3] => 1011001 => 2
[9,10,6,4,2,1,3,5,8,7] => 011110001 => 1
[10,7,8,4,2,1,3,6,5,9] => 101110010 => 3
[9,7,10,4,2,1,3,6,8,5] => 101110001 => 2
[8,9,10,4,2,1,3,7,6,5] => 001110011 => 1
[10,8,5,6,2,1,4,3,7,9] => 110110100 => 3
[9,10,5,6,2,1,4,3,8,7] => 010110101 => 3
[10,7,5,8,2,1,4,6,3,9] => 110110010 => 3
[9,7,5,10,2,1,4,6,8,3] => 110110001 => 2
[8,9,5,10,2,1,4,7,6,3] => 010110011 => 2
[10,6,7,8,2,1,5,4,3,9] => 100110110 => 3
[9,6,7,10,2,1,5,4,8,3] => 100110101 => 3
[8,6,9,10,2,1,5,7,4,3] => 100110011 => 2
[7,8,9,10,2,1,6,5,4,3] => 000110111 => 1
[10,8,6,3,4,2,1,5,7,9] => 111011000 => 2
[9,10,6,3,4,2,1,5,8,7] => 011011001 => 2
[10,7,8,3,4,2,1,6,5,9] => 101011010 => 4
[9,7,10,3,4,2,1,6,8,5] => 101011001 => 3
[8,9,10,3,4,2,1,7,6,5] => 001011011 => 2
[10,8,5,3,6,2,4,1,7,9] => 111010100 => 3
[9,10,5,3,6,2,4,1,8,7] => 011010101 => 3
[10,7,5,3,8,2,4,6,1,9] => 111010010 => 3
[9,7,5,3,10,2,4,6,8,1] => 111010001 => 2
[8,9,5,3,10,2,4,7,6,1] => 011010011 => 2
[10,6,7,3,8,2,5,4,1,9] => 101010110 => 4
[9,6,7,3,10,2,5,4,8,1] => 101010101 => 4
[8,6,9,3,10,2,5,7,4,1] => 101010011 => 3
[7,8,9,3,10,2,6,5,4,1] => 001010111 => 2
[10,8,4,5,6,3,2,1,7,9] => 110011100 => 2
[9,10,4,5,6,3,2,1,8,7] => 010011101 => 2
[10,7,4,5,8,3,2,6,1,9] => 110011010 => 3
[9,7,4,5,10,3,2,6,8,1] => 110011001 => 2
[8,9,4,5,10,3,2,7,6,1] => 010011011 => 2
[10,6,4,7,8,3,5,2,1,9] => 110010110 => 3
[9,6,4,7,10,3,5,2,8,1] => 110010101 => 3
[8,6,4,9,10,3,5,7,2,1] => 110010011 => 2
[7,8,4,9,10,3,6,5,2,1] => 010010111 => 2
[10,5,6,7,8,4,3,2,1,9] => 100011110 => 2
[9,5,6,7,10,4,3,2,8,1] => 100011101 => 2
[8,5,6,9,10,4,3,7,2,1] => 100011011 => 2
[7,5,8,9,10,4,6,3,2,1] => 100010111 => 2
[11,12,8,6,4,2,1,3,5,7,10,9] => 01111100001 => 1
[12,6,7,8,9,10,5,4,3,2,1,11] => 10000111110 => 2
[2,3,4,5,6,7,8,11,10,1,9] => 0000000110 => 1
[11,3,4,5,6,7,8,10,1,2,9] => 1000000100 => 2
[2,10,4,5,6,7,9,1,3,8] => 010000100 => 2
[10,3,4,5,6,7,1,9,2,8] => 100001010 => 3
[2,7,4,1,5,8,3,6] => 0110010 => 2
[2,1,6,4,7,8,3,5] => 1010010 => 3
[5,7,8,3,4,2,1,6] => 0010110 => 2
[4,7,5,3,8,2,6,1] => 0110101 => 2
[2,6,4,7,8,5,3,1] => 0100111 => 1
[7,8,4,5,6,1,3,2] => 0100101 => 2
[2,5,1,8,4,6,7,3] => 0101001 => 2
[5,2,8,4,6,7,1,3] => 1010010 => 3
[6,5,8,3,4,2,1,7] => 1010110 => 3
[1,3,5,8,4,6,7,2] => 0001001 => 1
[8,2,7,6,3,4,5,1] => 1011001 => 2
[6,8,7,3,2,1,4,5] => 0111100 => 1
[3,4,8,2,7,1,5,6] => 0010100 => 2
[7,2,6,1,4,8,3,5] => 1010010 => 3
[7,8,1,2,4,6,3,5] => 0100010 => 2
[7,2,8,3,4,5,1,6] => 1010010 => 3
[6,1,8,3,4,2,5,7] => 1010100 => 3
[7,5,1,2,4,3,8,6] => 1100101 => 2
[7,6,8,1,4,2,3,5] => 1010100 => 3
[2,4,3,7,8,5,6,1] => 0100101 => 2
[2,1,7,6,3,4,5,8] => 1011000 => 2
[6,3,5,2,1,8,4,7] => 1011010 => 3
[6,1,5,3,8,2,4,7] => 1010100 => 3
[2,3,6,8,5,1,7,4] => 0001101 => 1
[3,2,4,8,6,1,7,5] => 1001101 => 2
[2,1,3,8,4,5,7,6] => 1001001 => 2
[3,1,2,8,5,4,7,6] => 1001101 => 2
[2,1,3,7,8,4,6,5] => 1000101 => 2
[2,1,3,8,4,7,6,5] => 1001011 => 2
[3,1,2,8,4,5,7,6] => 1001001 => 2
[1,2,8,7,5,4,6,3] => 0011101 => 1
[4,6,7,2,3,8,1,5] => 0010010 => 2
[3,2,6,5,7,8,1,4] => 1010010 => 3
[3,2,7,5,6,8,1,4] => 1010010 => 3
[2,1,8,7,4,6,5,3] => 1011011 => 2
[6,1,5,8,4,7,3,2] => 1001011 => 2
[1,4,6,8,5,7,2,3] => 0001010 => 2
[2,4,7,1,8,3,6,5] => 0010101 => 2
[6,1,5,4,2,3,8,7] => 1011001 => 2
[6,4,5,1,2,8,3,7] => 1010010 => 3
[8,4,1,5,7,6,3,2] => 1100111 => 1
[8,1,6,3,5,2,4,7] => 1010100 => 3
[4,6,2,5,3,8,1,7] => 0101010 => 3
[4,6,5,2,1,8,3,7] => 0111010 => 2
[5,8,4,3,6,7,2,1] => 0110011 => 1
[6,8,2,1,5,3,4,7] => 0110100 => 2
[2,5,3,8,6,7,4,1] => 0101011 => 2
[3,2,6,5,1,8,4,7] => 1011010 => 3
[7,4,5,8,1,6,2,3] => 1001010 => 3
[4,5,8,1,6,7,3,2] => 0010011 => 1
[5,1,8,4,6,7,3,2] => 1010011 => 2
[6,5,3,8,1,7,2,4] => 1101010 => 3
[8,3,7,1,6,2,4,5] => 1010100 => 3
[8,1,4,6,5,7,2,3] => 1001010 => 3
[8,1,7,5,6,4,2,3] => 1010110 => 3
[8,6,1,5,3,7,2,4] => 1101010 => 3
[7,2,3,6,8,1,5,4] => 1000101 => 2
[2,6,3,7,8,1,4,5] => 0100100 => 2
[6,3,8,7,2,1,5,4] => 1011101 => 2
[7,2,5,6,3,4,8,1] => 1001001 => 2
[7,2,8,6,3,1,5,4] => 1011101 => 2
[7,2,4,5,8,6,3,1] => 1000111 => 1
[6,3,8,4,7,2,5,1] => 1010101 => 3
[7,2,3,6,8,5,4,1] => 1000111 => 1
[7,2,8,5,4,1,3,6] => 1011100 => 2
[7,4,5,2,8,1,6,3] => 1010101 => 3
[7,5,4,2,8,1,6,3] => 1110101 => 2
[7,6,3,2,8,4,5,1] => 1110101 => 2
[7,2,3,6,8,4,5,1] => 1000101 => 2
[7,2,5,4,8,3,6,1] => 1010101 => 3
[7,2,8,3,6,1,4,5] => 1010100 => 3
[7,4,5,2,8,3,6,1] => 1010101 => 3
[3,1,6,7,4,5,2,8] => 1001010 => 3
[3,1,5,4,7,6,2,8] => 1010110 => 3
[7,3,6,8,2,4,5,1] => 1001001 => 2
[5,1,3,2,4,6,8,7] => 1010001 => 2
[8,4,2,5,1,7,3,6] => 1101010 => 3
[6,4,2,5,7,3,8,1] => 1100101 => 2
[5,7,8,4,2,3,6,1] => 0011001 => 1
[6,4,5,2,8,3,7,1] => 1010101 => 3
[6,5,2,4,3,8,7,1] => 1101011 => 2
[6,5,3,4,1,8,2,7] => 1101010 => 3
[6,4,5,3,8,1,2,7] => 1010100 => 3
[5,6,4,8,3,1,2,7] => 0101100 => 2
[7,2,4,6,3,8,5,1] => 1001011 => 2
[2,8,3,7,6,1,5,4] => 0101101 => 2
[5,4,2,6,8,7,3,1] => 1100111 => 1
[3,7,2,5,8,6,4,1] => 0100111 => 1
[2,4,8,7,6,1,5,3] => 0011101 => 1
[3,2,8,7,4,6,5,1] => 1011011 => 2
[8,2,6,5,1,4,3,7] => 1011010 => 3
[4,8,5,2,7,6,3,1] => 0110111 => 1
[2,8,6,5,7,1,3,4] => 0110100 => 2
[3,8,4,7,2,1,6,5] => 0101101 => 2
[4,8,5,1,7,6,3,2] => 0110111 => 1
[5,8,1,7,6,2,3,4] => 0101100 => 2
[3,4,6,2,5,7,1,8] => 0010010 => 2
[1,7,5,2,6,8,3,4] => 0110010 => 2
[5,1,7,2,4,6,3,8] => 1010010 => 3
[6,8,2,1,3,4,7,5] => 0110001 => 1
[5,2,1,7,6,4,3,8] => 1101110 => 2
[7,4,8,3,6,5,1,2] => 1010110 => 3
[6,4,8,5,1,7,2,3] => 1011010 => 3
[5,2,8,1,3,6,7,4] => 1010001 => 2
[6,3,2,7,4,5,8,1] => 1101001 => 2
[7,4,3,8,5,6,1,2] => 1101010 => 3
[6,2,1,8,7,4,5,3] => 1101101 => 2
[6,2,1,8,7,3,5,4] => 1101101 => 2
[5,2,1,7,6,3,4,8] => 1101100 => 2
[4,2,6,8,5,7,1,3] => 1001010 => 3
[8,6,4,3,2,7,5,1] => 1111011 => 1
[1,3,4,7,8,2,6,5] => 0000101 => 1
[1,5,4,3,8,7,2,6] => 0110110 => 2
[1,2,5,8,4,3,6,7] => 0001100 => 1
[1,5,8,2,6,4,3,7] => 0010110 => 2
[10,9,8,6,4,2,1,3,5,7] => 111111000 => 1
[10,8,7,6,4,2,1,3,5,9] => 111111000 => 1
[10,7,9,6,4,2,1,3,8,5] => 101111001 => 2
[10,9,8,7,6,4,2,1,3,5] => 111111100 => 1
[10,8,6,5,4,2,1,3,7,9] => 111111000 => 1
[10,9,8,6,5,4,2,1,3,7] => 111111100 => 1
[10,8,5,7,4,2,1,6,3,9] => 110111010 => 3
[10,5,9,7,4,2,1,6,8,3] => 101111001 => 2
[10,9,8,5,7,4,2,1,6,3] => 111011101 => 2
[10,8,7,6,5,4,2,1,3,9] => 111111100 => 1
[10,7,9,6,5,4,2,1,8,3] => 101111101 => 2
[10,6,9,8,5,7,2,1,4,3] => 101101101 => 3
[10,8,6,4,3,2,1,5,7,9] => 111111000 => 1
[10,9,8,6,4,3,2,1,5,7] => 111111100 => 1
[10,8,7,6,4,3,2,1,5,9] => 111111100 => 1
[10,7,9,6,4,3,2,1,8,5] => 101111101 => 2
[10,8,6,3,5,2,4,1,7,9] => 111010100 => 3
[10,9,8,6,3,5,2,4,1,7] => 111101010 => 3
[10,8,3,7,5,2,4,6,1,9] => 110110010 => 3
[10,3,9,7,5,2,4,6,8,1] => 101110001 => 2
[10,9,8,3,7,5,2,4,6,1] => 111011001 => 2
[10,8,7,6,3,5,2,4,1,9] => 111101010 => 3
[10,7,9,6,3,5,2,4,8,1] => 101101001 => 3
[10,9,3,8,6,5,2,7,4,1] => 110111011 => 2
[10,9,8,7,6,3,5,2,4,1] => 111110101 => 2
[10,8,6,5,4,3,2,1,7,9] => 111111100 => 1
[10,8,5,7,4,3,2,6,1,9] => 110111010 => 3
[10,5,9,7,4,3,2,6,8,1] => 101111001 => 2
[10,9,8,5,7,4,3,2,6,1] => 111011101 => 2
[10,8,4,7,6,3,5,2,1,9] => 110110110 => 3
[10,4,9,7,6,3,5,2,8,1] => 101110101 => 3
[10,4,9,6,8,3,5,7,2,1] => 101010011 => 3
[10,9,8,4,7,6,3,5,2,1] => 111011011 => 2
[10,7,9,6,5,4,3,2,8,1] => 101111101 => 2
[10,6,9,8,5,4,3,7,2,1] => 101111011 => 2
[10,5,9,8,7,4,6,3,2,1] => 101110111 => 2
[12,11,10,9,8,7,6,5,4,2,1,3] => 11111111110 => 1
[12,11,10,9,8,7,6,4,3,2,1,5] => 11111111110 => 1
[12,11,10,9,8,6,5,4,3,2,1,7] => 11111111110 => 1
[12,11,10,8,7,6,5,4,3,2,1,9] => 11111111110 => 1
[3,5,6,2,4,7,8,1] => 0010001 => 1
[3,5,6,7,2,4,8,1] => 0001001 => 1
[3,5,7,6,8,2,4,1] => 0010101 => 2
[3,5,7,2,6,8,4,1] => 0010011 => 1
[3,5,2,7,6,8,4,1] => 0101011 => 2
[3,5,7,4,2,6,8,1] => 0011001 => 1
[3,5,4,7,2,6,8,1] => 0101001 => 2
[3,4,5,7,2,6,8,1] => 0001001 => 1
[3,4,5,7,2,8,6,1] => 0001011 => 1
[3,5,4,7,8,2,6,1] => 0100101 => 2
[3,5,4,7,2,8,6,1] => 0101011 => 2
[3,2,5,7,4,8,6,1] => 1001011 => 2
[3,5,7,4,2,8,6,1] => 0011011 => 1
[3,5,7,8,4,2,6,1] => 0001101 => 1
[2,3,5,7,8,4,6,1] => 0000101 => 1
[3,5,2,7,8,6,4,1] => 0100111 => 1
[3,5,7,8,2,6,4,1] => 0001011 => 1
[3,5,7,8,6,2,4,1] => 0001101 => 1
[3,2,5,6,7,8,9,1,4] => 10000010 => 2
[4,2,5,6,7,3,8,1] => 1000101 => 2
[4,2,5,6,7,8,9,3,1] => 10000011 => 1
[8,6,1,4,3,5,2,7] => 1101010 => 3
[6,1,8,4,3,5,2,7] => 1011010 => 3
[5,1,6,4,8,2,3,7] => 1010100 => 3
[8,1,4,2,5,3,6,7] => 1010100 => 3
[2,8,4,1,5,3,6,7] => 0110100 => 2
[8,4,1,3,5,2,6,7] => 1100100 => 2
[4,1,8,3,5,2,6,7] => 1010100 => 3
[8,3,1,2,5,4,6,7] => 1100100 => 2
[3,1,8,2,5,4,6,7] => 1010100 => 3
[4,2,5,1,8,7,6,3] => 1010111 => 2
[5,2,4,8,1,7,6,3] => 1001011 => 2
[7,3,2,4,6,8,1,5] => 1100010 => 2
[1,4,8,6,7,2,5,3] => 0010101 => 2
[1,4,5,7,3,8,2,6] => 0001010 => 2
[4,6,8,1,2,5,3,7] => 0010010 => 2
[3,5,6,8,2,1,4,7] => 0001100 => 1
[8,2,5,4,1,3,7,6] => 1011001 => 2
[2,4,5,8,6,3,1,7] => 0001110 => 1
[5,4,8,2,3,1,7,6] => 1010101 => 3
[4,7,5,8,2,3,1,6] => 0101010 => 3
[4,6,7,5,1,8,3,2] => 0011011 => 1
[1,7,3,6,5,8,2,4] => 0101010 => 3
[8,3,4,2,6,7,1,5] => 1010010 => 3
[7,5,3,8,6,2,1,4] => 1101110 => 2
[7,3,1,8,2,6,5,4] => 1101011 => 2
[4,6,7,5,2,8,3,1] => 0011011 => 1
[5,8,7,2,4,3,1,6] => 0110110 => 2
[5,1,2,8,6,7,3,4] => 1001010 => 3
[2,5,7,8,6,1,4,3] => 0001101 => 1
[7,2,6,8,4,5,1,3] => 1001010 => 3
[5,1,7,6,8,2,3,4] => 1010100 => 3
[1,7,6,2,4,3,8,5] => 0110101 => 2
[7,1,6,2,4,5,3,8] => 1010010 => 3
[5,7,1,6,2,3,4,8] => 0101000 => 2
[6,2,5,8,3,4,1,7] => 1001010 => 3
[5,6,8,7,1,3,2,4] => 0011010 => 2
[1,5,3,4,8,2,6,7] => 0100100 => 2
[2,1,3,6,5,8,4,7] => 1001010 => 3
[2,8,6,5,7,4,3,1] => 0110111 => 1
[2,8,6,5,7,4,1,3] => 0110110 => 2
[6,5,2,7,4,3,1,8] => 1101110 => 2
[6,5,2,8,4,3,7,1] => 1101101 => 2
[7,5,8,3,4,2,1,6] => 1010110 => 3
[7,6,8,5,2,4,1,3] => 1011010 => 3
[5,3,7,2,4,1,8,6] => 1010101 => 3
[5,1,2,8,6,3,7,4] => 1001101 => 2
[6,1,5,7,2,4,3,8] => 1001010 => 3
[4,1,8,2,6,5,7,3] => 1010101 => 3
[6,1,4,7,8,5,3,2] => 1000111 => 1
[6,1,5,7,8,4,2,3] => 1000110 => 2
[4,6,1,5,7,2,8,3] => 0100101 => 2
[2,5,8,4,6,3,7,1] => 0010101 => 2
[4,3,7,1,2,6,8,5] => 1010001 => 2
[8,1,6,5,2,7,4,3] => 1011011 => 2
[6,8,1,5,2,7,4,3] => 0101011 => 2
[4,5,8,2,3,7,6,1] => 0010011 => 1
[5,6,2,7,4,8,3,1] => 0101011 => 2
[1,7,3,2,4,8,6,5] => 0110011 => 1
[4,3,1,8,2,6,7,5] => 1101001 => 2
[4,8,1,3,2,5,7,6] => 0101001 => 2
[1,7,5,3,8,6,2,4] => 0110110 => 2
[2,5,3,8,1,4,7,6] => 0101001 => 2
[4,2,5,8,1,3,7,6] => 1001001 => 2
[8,1,2,4,3,5,7,6] => 1001001 => 2
[2,4,3,8,1,5,7,6] => 0101001 => 2
[3,1,7,4,8,6,5,2] => 1010111 => 2
[6,4,5,3,2,8,7,1] => 1011011 => 2
[2,7,3,8,5,1,6,4] => 0101101 => 2
[8,7,3,2,5,6,4,1] => 1110011 => 1
[3,1,8,2,6,5,4,7] => 1010110 => 3
[7,6,2,8,1,4,5,3] => 1101001 => 2
[2,3,8,4,1,5,7,6] => 0011001 => 1
[8,4,2,3,1,5,7,6] => 1101001 => 2
[8,2,3,4,1,5,7,6] => 1001001 => 2
[7,1,6,2,4,8,3,5] => 1010010 => 3
[2,7,8,1,4,3,6,5] => 0010101 => 2
[6,5,8,1,3,2,4,7] => 1010100 => 3
[2,1,8,5,3,4,6,7] => 1011000 => 2
[8,4,1,3,2,5,6,7] => 1101000 => 2
[8,6,1,2,3,5,4,7] => 1100010 => 2
[7,8,1,5,2,4,6,3] => 0101001 => 2
[2,8,6,3,1,5,4,7] => 0111010 => 2
[5,7,2,8,4,1,6,3] => 0101101 => 2
[2,5,6,3,8,1,4,7] => 0010100 => 2
[1,3,4,5,6,7,2,8,9] => 00000100 => 1
[7,4,5,6,8,1,3,2] => 1000101 => 2
[7,6,8,1,4,5,3,2] => 1010011 => 2
[7,5,1,8,4,6,3,2] => 1101011 => 2
[1,7,8,5,6,4,3,2] => 0010111 => 1
[2,8,1,7,4,5,3,6] => 0101010 => 3
[7,3,6,2,5,4,8,1] => 1010101 => 3
[1,6,2,3,5,8,4,7] => 0100010 => 2
[1,8,5,6,4,3,7,2] => 0101101 => 2
[2,6,8,4,5,1,7,3] => 0010101 => 2
[4,6,5,7,8,1,3,2] => 0100101 => 2
[2,5,8,6,4,7,1,3] => 0011010 => 2
[5,3,2,1,7,8,4,6] => 1110010 => 2
[8,4,1,3,6,7,2,5] => 1100010 => 2
[1,6,5,3,8,4,7,2] => 0110101 => 2
[7,6,2,3,5,1,4,8] => 1100100 => 2
[6,2,5,3,4,8,1,7] => 1010010 => 3
[6,2,5,3,4,8,7,1] => 1010011 => 2
[2,6,5,3,4,8,1,7] => 0110010 => 2
[5,3,4,8,1,7,2,6] => 1001010 => 3
[5,1,3,4,8,7,2,6] => 1000110 => 2
[1,5,3,4,8,7,2,6] => 0100110 => 2
[5,1,3,8,4,7,6,2] => 1001011 => 2
[5,3,8,1,4,7,6,2] => 1010011 => 2
[4,3,5,8,1,7,6,2] => 1001011 => 2
[3,6,5,4,8,1,2,7] => 0110100 => 2
[3,6,5,4,8,2,7,1] => 0110101 => 2
[3,5,2,4,8,7,6,1] => 0100111 => 1
[2,5,3,6,8,4,1,7] => 0100110 => 2
[4,6,2,5,1,7,8,3] => 0101001 => 2
[2,3,1,7,4,8,6,5] => 0101011 => 2
[2,3,8,7,6,4,1,5] => 0011110 => 1
[2,6,3,7,4,1,5,8] => 0101100 => 2
[7,5,2,3,1,6,4,8] => 1101010 => 3
[1,8,3,6,4,2,7,5] => 0101101 => 2
[2,1,7,4,8,5,3,6] => 1010110 => 3
[8,1,7,3,2,5,4,6] => 1011010 => 3
[7,8,5,2,6,4,3,1] => 0110111 => 1
[4,2,8,1,3,6,7,5] => 1010001 => 2
[8,1,2,5,7,4,6,3] => 1000101 => 2
[7,4,6,3,1,2,5,8] => 1011000 => 2
[6,4,1,3,7,2,5,8] => 1100100 => 2
[8,2,5,3,6,1,4,7] => 1010100 => 3
[3,7,5,1,4,6,2,8] => 0110010 => 2
[6,8,7,4,1,5,2,3] => 0111010 => 2
[8,6,4,7,5,1,3,2] => 1101101 => 2
[6,1,2,4,7,8,3,5] => 1000010 => 2
[2,4,6,5,7,1,8,3] => 0010101 => 2
[3,2,8,9,10,1,4,5,6,7] => 100010000 => 2
[4,2,6,7,8,5,3,1] => 1000111 => 1
[6,2,4,7,8,5,3,1] => 1000111 => 1
[3,5,2,1,7,8,6,4] => 0110011 => 1
[4,2,7,8,6,5,1,3] => 1001110 => 2
[1,2,7,8,6,4,5,3] => 0001101 => 1
[4,8,1,2,6,5,3,7] => 0100110 => 2
[7,1,6,3,2,4,8,5] => 1011001 => 2
[6,4,8,1,2,3,7,5] => 1010001 => 2
[7,4,1,3,6,8,5,2] => 1100011 => 1
[5,2,7,1,4,6,3,8] => 1010010 => 3
[6,3,8,5,7,1,4,2] => 1010101 => 3
[2,4,3,8,5,7,1,6] => 0101010 => 3
[2,8,3,1,4,6,5,7] => 0110010 => 2
[4,5,7,6,1,3,8,2] => 0011001 => 1
[3,7,1,6,5,8,2,4] => 0101010 => 3
[7,4,3,6,8,2,1,5] => 1100110 => 2
[3,8,5,4,7,6,1,2] => 0110110 => 2
[1,4,6,8,7,3,5,2] => 0001101 => 1
[4,6,5,1,3,8,7,2] => 0110011 => 1
[5,4,6,2,1,8,7,3] => 1011011 => 2
[3,2,8,5,1,4,6,7] => 1011000 => 2
[3,5,4,1,2,8,6,7] => 0110010 => 2
[5,3,8,1,4,2,6,7] => 1010100 => 3
[5,3,8,1,4,2,7,6] => 1010101 => 3
[1,4,7,5,8,6,2,3] => 0010110 => 2
[8,5,7,6,3,4,1,2] => 1011010 => 3
[7,5,2,6,1,4,8,3] => 1101001 => 2
[2,4,5,1,8,3,7,6] => 0010101 => 2
[7,2,8,5,3,4,1,6] => 1011010 => 3
[6,4,5,3,1,7,8,2] => 1011001 => 2
[7,3,5,6,4,1,8,2] => 1001101 => 2
[1,4,7,6,8,5,2,3] => 0010110 => 2
[2,3,4,7,8,9,1,5,6] => 00000100 => 1
[2,3,6,7,8,9,1,4,5] => 00000100 => 1
[2,5,6,7,8,9,1,3,4] => 00000100 => 1
[2,3,4,5,1,9,6,7,8] => 00010100 => 2
[2,3,4,1,8,9,5,6,7] => 00100100 => 2
[2,3,4,5,8,9,10,1,6,7] => 000000100 => 1
[2,3,1,7,8,9,4,5,6] => 01000100 => 2
[2,3,4,7,8,9,10,1,5,6] => 000000100 => 1
[2,1,6,7,8,9,3,4,5] => 10000100 => 2
[2,3,6,7,8,9,10,1,4,5] => 000000100 => 1
[2,5,6,7,8,9,10,1,3,4] => 000000100 => 1
[2,5,6,3,4,1,8,7] => 0010101 => 2
[4,6,2,1,5,8,3,7] => 0110010 => 2
[4,6,7,2,3,8,5,1] => 0010011 => 1
[4,5,3,7,8,1,2,6] => 0100100 => 2
[2,3,5,8,1,6,4,7] => 0001010 => 2
[1,7,4,5,8,3,6,2] => 0100101 => 2
[2,8,5,6,3,1,4,7] => 0101100 => 2
[4,8,2,6,1,5,7,3] => 0101001 => 2
[2,3,7,8,1,5,4,6] => 0001010 => 2
[5,2,6,7,8,3,1,4] => 1000110 => 2
[5,6,2,7,8,3,1,4] => 0100110 => 2
[2,3,7,5,8,4,6,1] => 0010101 => 2
[3,7,8,5,1,4,6,2] => 0011001 => 1
[2,5,6,7,1,8,4,3] => 0001011 => 1
[8,5,3,6,4,2,1,7] => 1101110 => 2
[6,4,7,8,1,2,5,3] => 1001001 => 2
[7,5,8,1,2,3,6,4] => 1010001 => 2
[1,2,8,7,4,6,5,3] => 0011011 => 1
[5,1,4,8,7,3,6,2] => 1001101 => 2
[4,3,1,8,7,5,6,2] => 1101101 => 2
[4,3,2,7,6,1,5,8] => 1101100 => 2
[7,2,6,5,3,1,4,8] => 1011100 => 2
[1,3,7,6,2,4,8,5] => 0011001 => 1
[1,3,8,2,7,4,6,5] => 0010101 => 2
[8,2,7,1,6,4,3,5] => 1010110 => 3
[4,3,2,8,1,7,5,6] => 1101010 => 3
[7,5,4,1,6,3,8,2] => 1110101 => 2
[1,6,5,3,2,4,8,7] => 0111001 => 1
[1,7,3,5,2,4,8,6] => 0101001 => 2
[4,3,7,2,5,1,6,8] => 1010100 => 3
[5,1,4,3,2,6,8,7] => 1011001 => 2
[7,2,1,3,5,4,6,8] => 1100100 => 2
[8,3,7,5,4,2,6,1] => 1011101 => 2
[1,6,8,7,5,2,3,4] => 0011100 => 1
[4,3,6,1,8,5,2,7] => 1010110 => 3
[1,3,6,2,5,4,8,7] => 0010101 => 2
[1,4,8,7,3,6,2,5] => 0011010 => 2
[1,2,7,3,8,4,9,5,10,6] => 001010101 => 3
[4,5,7,6,3,1,8,2] => 0011101 => 1
[4,6,7,5,1,3,8,2] => 0011001 => 1
[3,6,5,1,4,7,8,2] => 0110001 => 1
[4,6,7,3,1,5,8,2] => 0011001 => 1
[5,4,1,8,7,3,6,2] => 1101101 => 2
[6,2,4,7,5,3,1,8] => 1001110 => 2
[6,2,5,1,8,7,3,4] => 1010110 => 3
[3,2,6,1,5,8,7,4] => 1010011 => 2
[4,2,3,6,7,5,1,8] => 1000110 => 2
[6,2,3,5,7,4,1,8] => 1000110 => 2
[1,6,3,8,4,7,2,5] => 0101010 => 3
[8,1,5,2,4,7,3,6] => 1010010 => 3
[7,5,8,1,4,2,3,6] => 1010100 => 3
[4,1,2,3,6,5,8,7,9] => 10001010 => 3
[4,1,2,3,6,5,8,7,10,9] => 100010101 => 3
[4,1,6,2,3,5,8,7,9] => 10100010 => 3
[1,3,4,8,5,6,2,7] => 0001010 => 2
[3,2,7,1,8,6,5,4] => 1010111 => 2
[1,3,8,5,6,7,2,4] => 0010010 => 2
[6,2,4,1,5,7,8,3] => 1010001 => 2
[5,8,4,1,3,6,7,2] => 0110001 => 1
[6,7,2,3,8,1,4,5] => 0100100 => 2
[3,2,7,4,8,1,5,6] => 1010100 => 3
[5,2,8,1,7,4,6,3] => 1010101 => 3
[2,5,4,7,3,1,8,6] => 0101101 => 2
[4,6,3,1,2,5,7,8] => 0110000 => 1
[7,4,6,8,3,1,2,5] => 1001100 => 2
[8,5,4,7,3,1,2,6] => 1101100 => 2
[7,3,2,1,5,4,8,6] => 1110101 => 2
[2,5,6,4,8,1,3,7] => 0010100 => 2
[5,4,1,6,2,3,7,8] => 1101000 => 2
[1,3,6,5,2,4,7,8] => 0011000 => 1
[6,4,5,1,2,8,7,3] => 1010011 => 2
[5,4,1,2,7,6,3,8] => 1100110 => 2
[5,8,7,3,1,2,4,6] => 0111000 => 1
[2,7,8,1,4,5,3,6] => 0010010 => 2
[4,1,2,8,7,3,6,5] => 1001101 => 2
[6,1,2,4,3,8,7,5] => 1001011 => 2
[3,7,8,1,2,4,6,5] => 0010001 => 1
[7,3,4,1,2,6,8,5] => 1010001 => 2
[8,4,3,1,2,6,5,7] => 1110010 => 2
[3,8,2,7,4,5,1,6] => 0101010 => 3
[8,6,2,3,5,4,1,7] => 1100110 => 2
[8,2,6,1,3,5,4,7] => 1010010 => 3
[8,4,3,7,2,5,6,1] => 1101001 => 2
[8,3,1,7,4,5,2,6] => 1101010 => 3
[8,2,4,5,1,7,3,6] => 1001010 => 3
[6,8,2,4,5,1,7,3] => 0100101 => 2
[4,3,8,1,7,5,6,2] => 1010101 => 3
[8,4,3,7,1,5,6,2] => 1101001 => 2
[8,3,4,7,2,6,5,1] => 1001011 => 2
[8,1,3,7,6,4,5,2] => 1001101 => 2
[8,3,7,1,4,5,6,2] => 1010001 => 2
[8,7,3,6,1,2,5,4] => 1101001 => 2
[8,3,7,6,2,4,5,1] => 1011001 => 2
[8,7,2,3,6,1,5,4] => 1100101 => 2
[8,2,7,1,3,4,6,5] => 1010001 => 2
[5,1,8,4,2,3,7,6] => 1011001 => 2
[8,2,4,7,3,1,6,5] => 1001101 => 2
[8,2,7,6,3,1,4,5] => 1011100 => 2
[6,8,1,4,7,3,2,5] => 0100110 => 2
[8,5,7,2,6,3,1,4] => 1010110 => 3
[5,8,2,7,3,1,6,4] => 0101101 => 2
[8,1,2,6,7,5,4,3] => 1000111 => 1
[8,4,1,7,5,6,2,3] => 1101010 => 3
[8,2,4,7,6,5,1,3] => 1001110 => 2
[8,2,7,6,4,5,1,3] => 1011010 => 3
[8,4,7,2,3,6,5,1] => 1010011 => 2
[8,2,4,7,3,6,5,1] => 1001011 => 2
[8,1,7,6,4,5,2,3] => 1011010 => 3
[8,1,2,7,6,4,5,3] => 1001101 => 2
[8,1,4,7,3,6,5,2] => 1001011 => 2
[2,3,1,9,8,7,6,5,4] => 01011111 => 1
[3,4,2,1,9,8,7,6,5] => 01101111 => 1
[4,5,3,2,1,9,8,7,6] => 01110111 => 1
[5,6,4,3,2,1,9,8,7] => 01111011 => 1
[6,7,5,4,3,2,1,9,8] => 01111101 => 1
[2,8,1,5,3,7,6,4] => 0101011 => 2
[1,8,2,4,7,5,6,3] => 0100101 => 2
[2,3,8,4,7,1,6,5] => 0010101 => 2
[1,8,2,3,5,6,4,7] => 0100010 => 2
[1,4,7,6,2,3,5,8] => 0011000 => 1
[1,7,6,2,3,8,4,5] => 0110010 => 2
[1,8,2,3,7,6,4,5] => 0100110 => 2
[1,7,3,8,6,2,5,4] => 0101101 => 2
[5,8,2,3,7,4,1,6] => 0100110 => 2
[4,2,8,3,7,6,1,5] => 1010110 => 3
[1,3,5,6,4,8,2,7] => 0001010 => 2
[3,1,7,8,5,2,4,6] => 1001100 => 2
[7,1,2,3,4,5,9,6,10,8] => 100000101 => 2
[4,6,1,8,2,7,5,3] => 0101011 => 2
[6,3,5,2,8,4,7,1] => 1010101 => 3
[1,6,3,5,2,8,4,7] => 0101010 => 3
[5,4,8,6,3,7,2,1] => 1011011 => 2
[6,4,5,8,1,3,7,2] => 1001001 => 2
[6,3,5,1,8,4,7,2] => 1010101 => 3
[2,6,3,1,5,8,4,7] => 0110010 => 2
[2,5,4,8,6,3,1,7] => 0101110 => 2
[2,5,4,8,6,3,7,1] => 0101101 => 2
[1,2,5,4,8,6,3,7] => 0010110 => 2
[6,4,5,8,2,1,7,3] => 1001101 => 2
[5,3,4,1,2,6,8,7] => 1010001 => 2
[1,4,3,5,2,8,6,7] => 0101010 => 3
[1,3,5,4,8,2,6,7] => 0010100 => 2
[3,5,4,8,2,6,1,7] => 0101010 => 3
[3,6,4,5,1,2,8,7] => 0101001 => 2
[4,3,5,1,8,6,2,7] => 1010110 => 3
[3,5,4,8,1,6,2,7] => 0101010 => 3
[3,4,8,5,6,1,2,7] => 0010100 => 2
[3,4,8,5,6,2,1,7] => 0010110 => 2
[3,5,4,8,1,6,7,2] => 0101001 => 2
[2,4,3,1,5,8,6,7] => 0110010 => 2
[1,7,6,2,5,4,8,3] => 0110101 => 2
[5,6,1,7,4,3,8,2] => 0101101 => 2
[3,1,5,6,4,2,7,8] => 1001100 => 2
[8,3,4,1,6,5,7,2] => 1010101 => 3
[8,1,6,4,3,5,2,7] => 1011010 => 3
[1,3,7,8,2,6,4,5] => 0001010 => 2
[2,1,6,5,3,8,7,4] => 1011011 => 2
[3,7,5,6,4,2,1,8] => 0101110 => 2
[6,1,4,3,7,5,8,2] => 1010101 => 3
[3,8,6,4,5,2,7,1] => 0110101 => 2
[4,5,8,6,2,3,7,1] => 0011001 => 1
[4,6,8,5,3,7,2,1] => 0011011 => 1
[4,5,7,2,8,6,3,1] => 0010111 => 1
[3,7,4,5,1,6,8,2] => 0101001 => 2
[4,6,8,1,2,5,7,3] => 0010001 => 1
[4,6,8,5,1,3,7,2] => 0011001 => 1
[3,7,4,5,2,8,6,1] => 0101011 => 2
[3,7,8,4,6,1,5,2] => 0010101 => 2
[4,5,7,2,1,6,8,3] => 0011001 => 1
[4,5,1,6,8,3,7,2] => 0100101 => 2
[8,3,5,4,6,1,2,7] => 1010100 => 3
[3,4,5,6,1,7,2,9,8] => 00010101 => 2
[1,7,4,5,2,6,8,3] => 0101001 => 2
[1,4,5,9,6,7,2,8,3] => 00010101 => 2
[3,4,5,6,7,1,8,2,10,9] => 000010101 => 2
[2,4,5,9,6,1,7,3,8] => 00011010 => 2
[3,4,5,7,6,1,9,2,8] => 00011010 => 2
[1,4,2,6,5,3,8,7] => 0101101 => 2
[3,1,5,8,4,6,2,7] => 1001010 => 3
[3,5,6,9,7,1,8,2,4] => 00011010 => 2
[1,4,8,5,6,2,7,9,3] => 00101001 => 2
[1,4,5,6,10,7,8,2,9,3] => 000010101 => 2
[3,4,5,6,7,8,1,9,2,11,10] => 0000010101 => 2
[2,4,5,6,10,7,1,8,3,9] => 000011010 => 2
[3,4,5,6,8,7,1,10,2,9] => 000011010 => 2
[2,5,9,6,7,3,1,4,8] => 00101100 => 2
[4,1,5,2,7,6,3,9,8] => 10101101 => 3
[3,4,1,6,9,5,7,2,8] => 01001010 => 3
[8,2,6,3,4,1,5,7] => 1010100 => 3
[4,6,5,8,2,1,3,7] => 0101100 => 2
[1,4,8,3,5,6,2,7] => 0010010 => 2
[1,8,7,4,2,3,6,5] => 0111001 => 1
[6,7,9,8,1,3,4,2,5] => 00110010 => 2
[9,1,5,2,8,6,3,7,4] => 10101101 => 3
[3,5,6,7,10,8,1,9,2,4] => 000011010 => 2
[1,7,4,5,2,6,8,9,3] => 01010001 => 2
[1,4,5,9,6,7,2,8,10,3] => 000101001 => 2
[1,4,5,6,7,11,8,9,2,10,3] => 0000010101 => 2
[4,3,1,8,5,7,2,6] => 1101010 => 3
[7,3,2,4,8,1,6,5] => 1100101 => 2
[3,7,2,4,5,8,1,6] => 0100010 => 2
[3,2,7,4,6,1,8,5] => 1010101 => 3
[8,3,2,4,6,1,7,5] => 1100101 => 2
[8,3,2,4,5,7,1,6] => 1100010 => 2
[7,4,6,2,1,3,8,5] => 1011001 => 2
[3,6,7,2,4,1,8,5] => 0010101 => 2
[5,4,8,7,6,2,3,1] => 1011101 => 2
[5,2,3,8,7,1,6,4] => 1001101 => 2
[7,5,2,4,1,3,8,6] => 1101001 => 2
[7,2,6,8,5,1,3,4] => 1001100 => 2
[8,2,3,4,1,6,7,5] => 1001001 => 2
[9,2,3,4,5,6,1,8,7] => 10000101 => 2
[9,2,3,4,5,1,7,8,6] => 10001001 => 2
[9,2,3,4,1,6,7,8,5] => 10010001 => 2
[9,2,3,1,5,6,7,8,4] => 10100001 => 2
[9,2,1,4,5,6,7,8,3] => 11000001 => 1
[10,2,3,4,5,6,7,1,9,8] => 100000101 => 2
[5,2,3,4,1,9,6,8,7] => 10010101 => 3
[10,2,3,4,5,6,1,8,9,7] => 100001001 => 2
[4,2,3,1,9,5,7,8,6] => 10101001 => 3
[10,2,3,4,5,1,7,8,9,6] => 100010001 => 2
[3,2,1,9,4,6,7,8,5] => 11010001 => 2
[10,2,3,4,1,6,7,8,9,5] => 100100001 => 2
[2,1,9,3,5,6,7,8,4] => 10100001 => 2
[10,2,3,1,5,6,7,8,9,4] => 101000001 => 2
[10,2,1,4,5,6,7,8,9,3] => 110000001 => 1
[7,4,3,8,1,6,5,2] => 1101011 => 2
[6,5,1,4,3,8,7,2] => 1101011 => 2
[4,7,6,2,5,8,1,3] => 0110010 => 2
[6,3,2,4,5,8,1,7] => 1100010 => 2
[2,6,4,5,8,3,1,7] => 0100110 => 2
[3,7,4,8,6,2,5,1] => 0101101 => 2
[7,3,5,2,8,1,4,6] => 1010100 => 3
[1,5,8,7,4,2,3,6] => 0011100 => 1
[1,7,2,4,5,8,6,3] => 0100011 => 1
[1,4,6,8,7,2,5,3] => 0001101 => 1
[1,6,2,7,5,3,4,8] => 0101100 => 2
[1,3,7,2,6,4,5,8] => 0010100 => 2
[1,7,3,2,8,5,6,4] => 0110101 => 2
[1,6,5,2,4,8,3,7] => 0110010 => 2
[1,7,3,8,4,2,5,6] => 0101100 => 2
[1,6,2,4,7,5,8,3] => 0100101 => 2
[1,6,2,7,4,3,8,5] => 0101101 => 2
[1,5,8,2,3,6,4,7] => 0010010 => 2
[6,8,9,1,2,3,4,5,7] => 00100000 => 1
[5,8,9,1,2,3,4,6,7] => 00100000 => 1
[2,5,3,6,7,1,4,8] => 0100100 => 2
[6,4,1,5,7,2,3,8] => 1100100 => 2
[6,4,1,5,7,3,8,2] => 1100101 => 2
[1,2,7,3,8,5,6,4] => 0010101 => 2
[7,4,1,6,3,8,2,5] => 1101010 => 3
[1,5,7,4,3,8,6,2] => 0011011 => 1
[2,7,3,1,4,5,8,6] => 0110001 => 1
[2,3,4,5,1,7,6,9,8] => 00010101 => 2
[2,3,4,1,6,5,8,7,9] => 00101010 => 3
[2,3,4,5,6,7,1,9,8,10] => 000001010 => 2
[2,3,4,5,1,8,6,9,7] => 00010101 => 2
[2,3,4,1,7,5,8,6,9] => 00101010 => 3
[2,3,4,5,1,7,6,9,8,10] => 000101010 => 3
[6,5,8,3,2,7,1,4] => 1011010 => 3
[8,4,3,1,7,6,5,2] => 1110111 => 1
[1,2,6,7,5,3,4,8] => 0001100 => 1
[1,2,6,8,7,4,5,3] => 0001101 => 1
[3,4,5,6,7,9,1,8,2] => 00000101 => 1
[3,4,5,6,8,2,7,1] => 0000101 => 1
[3,4,5,6,7,8,10,1,9,2] => 000000101 => 1
[3,4,5,6,7,9,2,8,1] => 00000101 => 1
[3,4,5,6,7,1,9,8,2] => 00001011 => 1
[7,2,1,4,5,6,3,8] => 1100010 => 2
[1,5,6,7,3,4,2,8] => 0001010 => 2
[4,6,8,5,2,1,7,3] => 0011101 => 1
[1,6,7,8,2,4,5,3] => 0001001 => 1
[4,7,8,2,1,3,5,6] => 0011000 => 1
[5,7,8,3,2,4,6,1] => 0011001 => 1
[5,7,8,2,3,1,6,4] => 0010101 => 2
[5,3,4,2,1,9,8,7,6] => 10110111 => 2
[6,5,3,4,2,1,9,8,7] => 11011011 => 2
[7,6,4,5,3,2,1,9,8] => 11011101 => 2
[4,5,2,7,8,6,1,3] => 0100110 => 2
[1,3,5,8,7,2,6,4] => 0001101 => 1
[6,4,1,8,5,7,3,2] => 1101011 => 2
[4,1,3,8,7,5,2,6] => 1001110 => 2
[8,5,1,6,7,2,4,3] => 1100101 => 2
[3,6,7,2,1,5,8,4] => 0011001 => 1
[2,5,6,1,3,8,7,4] => 0010011 => 1
[7,2,5,6,1,3,8,4] => 1001001 => 2
[6,4,1,2,5,8,3,7] => 1100010 => 2
[4,6,3,5,7,1,8,2] => 0100101 => 2
[4,7,3,5,2,6,8,1] => 0101001 => 2
[2,3,5,4,7,1,8,6] => 0010101 => 2
[6,8,4,1,5,7,3,2] => 0110011 => 1
[8,1,6,2,3,7,5,4] => 1010011 => 2
[7,8,9,6,1,2,3,4,10,5] => 001100001 => 1
[2,8,9,10,7,1,3,4,5,6] => 000110000 => 1
[8,9,7,5,6,1,2,3,10,4] => 011010001 => 2
[2,9,10,8,6,7,1,3,4,5] => 001101000 => 2
[2,9,10,11,8,7,1,3,4,5,6] => 0001110000 => 1
[7,8,9,10,1,2,3,4,5,11,6] => 0001000001 => 1
[7,8,9,5,1,2,3,4,10,6] => 001100001 => 1
[7,8,9,1,6,2,3,4,10,5] => 001010001 => 2
[2,8,9,10,6,1,3,4,5,7] => 000110000 => 1
[2,8,9,10,1,7,3,4,5,6] => 000101000 => 2
[2,8,9,10,11,1,3,4,5,6,7] => 0000100000 => 1
[2,8,3,6,4,1,7,5] => 0101101 => 2
[6,5,3,4,8,2,1,7] => 1100110 => 2
[5,4,8,7,3,6,2,1] => 1011011 => 2
[3,4,5,1,2,6,7,8,9] => 00100000 => 1
[5,2,7,6,8,3,4,1] => 1010101 => 3
[8,4,5,2,7,3,6,1] => 1010101 => 3
[6,3,7,4,5,2,8,1] => 1010101 => 3
[7,3,4,2,8,5,6,1] => 1010101 => 3
[4,3,6,5,8,2,7,1] => 1010101 => 3
[8,2,7,4,5,3,6,1] => 1010101 => 3
[7,2,8,4,5,3,6,1] => 1010101 => 3
[6,3,8,2,7,4,5,1] => 1010101 => 3
[3,2,8,4,7,5,6,1] => 1010101 => 3
[8,3,6,2,7,4,5,1] => 1010101 => 3
[4,2,3,5,6,7,8,9,10,1] => 100000001 => 1
[2,3,4,5,6,7,8,11,1,9,10] => 0000000100 => 1
[2,3,4,5,6,7,11,1,8,9,10] => 0000001000 => 1
[2,3,4,5,6,11,1,7,8,9,10] => 0000010000 => 1
[2,3,4,5,11,1,6,7,8,9,10] => 0000100000 => 1
[2,3,4,11,1,5,6,7,8,9,10] => 0001000000 => 1
[2,3,11,1,4,5,6,7,8,9,10] => 0010000000 => 1
[1,7,8,4,3,6,5,2] => 0011011 => 1
[1,7,8,3,6,5,4,2] => 0010111 => 1
[6,4,5,8,7,2,1,3] => 1001110 => 2
[5,8,1,7,2,4,3,6] => 0101010 => 3
[2,5,7,3,8,1,4,6] => 0010100 => 2
[8,3,5,2,1,6,7,4] => 1011001 => 2
[2,6,4,7,1,8,5,3] => 0101011 => 2
[1,6,5,7,3,8,2,4] => 0101010 => 3
[1,8,5,3,7,6,2,4] => 0110110 => 2
[6,4,2,3,8,7,5,1] => 1100111 => 1
[6,1,4,2,7,8,3,5] => 1010010 => 3
[6,5,1,3,7,8,4,2] => 1100011 => 1
[5,1,3,2,7,8,6,4] => 1010011 => 2
[6,7,4,2,3,8,5,1] => 0110011 => 1
[5,8,7,3,2,4,6,1] => 0111001 => 1
[5,1,3,2,6,8,4,7] => 1010010 => 3
[5,7,1,4,6,8,2,3] => 0100010 => 2
[2,4,1,7,5,6,3,8] => 0101010 => 3
[1,4,3,7,6,2,8,5] => 0101101 => 2
[1,6,2,5,7,3,8,4] => 0100101 => 2
[1,4,3,8,2,5,7,6] => 0101001 => 2
[1,5,7,3,6,4,2,8] => 0010110 => 2
[1,6,7,2,4,8,3,5] => 0010010 => 2
[3,7,2,8,4,1,5,6] => 0101100 => 2
[2,4,1,5,3,6,8,7,9] => 01010010 => 3
[2,4,1,7,3,8,5,6,9] => 01010100 => 3
[5,3,4,1,7,8,6,2] => 1010011 => 2
[4,7,6,5,8,2,3,1] => 0110101 => 2
[2,3,8,4,5,7,1,6] => 0010010 => 2
[4,1,8,3,2,6,5,7] => 1011010 => 3
[1,2,6,8,4,3,5,7] => 0001100 => 1
[7,2,6,3,1,8,4,5] => 1011010 => 3
[5,8,4,1,3,7,2,6] => 0110010 => 2
[3,4,2,1,6,8,5,7] => 0110010 => 2
[8,1,3,5,6,4,7,2] => 1000101 => 2
[3,4,7,1,5,6,2,8] => 0010010 => 2
[4,8,2,6,5,3,7,1] => 0101101 => 2
[4,8,7,2,5,6,1,3] => 0110010 => 2
[5,8,6,4,7,3,2,1] => 0110111 => 1
[8,5,2,3,1,6,7,4] => 1101001 => 2
[2,8,6,3,5,1,7,4] => 0110101 => 2
[8,3,2,6,4,1,7,5] => 1101101 => 2
[8,4,1,5,3,6,7,2] => 1101001 => 2
[8,3,5,1,4,6,7,2] => 1010001 => 2
[8,5,1,3,4,6,7,2] => 1100001 => 1
[3,8,6,2,5,4,7,1] => 0110101 => 2
[3,8,4,6,5,2,7,1] => 0101101 => 2
[8,1,7,4,2,5,3,6] => 1011010 => 3
[8,3,2,5,1,4,7,6] => 1101001 => 2
[8,4,5,1,2,6,7,3] => 1010001 => 2
[8,1,5,3,2,6,7,4] => 1011001 => 2
[8,1,5,2,4,6,7,3] => 1010001 => 2
[5,2,6,4,1,3,8,7] => 1011001 => 2
[7,1,3,5,2,8,6,4] => 1001011 => 2
[8,6,4,7,1,3,5,2] => 1101001 => 2
[6,8,4,3,2,1,7,5] => 0111101 => 1
[2,1,8,5,4,3,7,6] => 1011101 => 2
[6,2,8,5,4,1,3,7] => 1011100 => 2
[6,4,8,5,3,2,7,1] => 1011101 => 2
[9,10,6,7,4,5,2,3,1,8] => 010101010 => 4
[8,5,4,6,2,7,1,3] => 1101010 => 3
[6,8,5,4,7,2,3,1] => 0110101 => 2
[2,5,7,3,4,8,1,6] => 0010010 => 2
[5,2,4,7,8,1,3,6] => 1000100 => 2
[8,5,9,3,6,1,2,4,7] => 10101000 => 3
[9,7,1,5,8,3,6,2,4] => 11001010 => 3
[9,7,5,4,1,3,8,2,6] => 11110010 => 2
[8,9,4,5,10,1,2,3,6,7] => 010010000 => 2
[8,4,3,9,10,1,2,5,6,7] => 110010000 => 2
[9,6,10,1,3,7,8,2,4,5] => 101000100 => 3
[9,10,6,7,4,5,1,2,3,8] => 010101000 => 3
[9,6,4,10,3,7,1,2,5,8] => 110101000 => 3
[10,1,8,9,6,7,4,5,2,3] => 100101010 => 4
[10,8,6,1,4,9,3,7,2,5] => 111001010 => 3
[10,8,6,5,4,1,3,9,2,7] => 111110010 => 2
[10,8,7,6,5,4,3,1,2,9] => 111111100 => 1
[4,8,5,6,1,2,7,3] => 0101001 => 2
[2,5,6,8,7,1,4,3] => 0001101 => 1
[1,7,8,5,4,6,2,3] => 0011010 => 2
[4,6,8,1,5,2,7,3] => 0010101 => 2
[5,3,8,1,2,6,7,4] => 1010001 => 2
[8,2,3,6,4,1,7,5] => 1001101 => 2
[2,3,7,5,8,6,1,4] => 0010110 => 2
[3,8,5,1,2,4,7,6] => 0110001 => 1
[1,3,6,4,8,2,7,5] => 0010101 => 2
[1,2,3,4,6,5,7,8,9,10] => 000010000 => 1
[1,2,3,4,5,6,8,7,9,10] => 000000100 => 1
[1,7,6,2,8,5,3,4] => 0110110 => 2
[1,5,8,6,4,7,2,3] => 0011010 => 2
[5,6,2,8,1,7,3,4] => 0101010 => 3
[6,8,4,5,1,3,7,2] => 0101001 => 2
[5,2,3,8,1,4,6,7] => 1001000 => 2
[1,6,8,3,2,4,5,7] => 0011000 => 1
[9,6,5,4,3,2,1,7,8] => 11111100 => 1
[10,7,6,5,4,3,2,1,8,9] => 111111100 => 1
[9,8,5,4,3,2,1,6,7] => 11111100 => 1
[8,6,5,2,4,3,7,1] => 1110101 => 2
[6,2,5,3,7,4,8,1] => 1010101 => 3
[8,5,4,2,6,3,7,1] => 1110101 => 2
[8,5,3,2,6,4,7,1] => 1110101 => 2
[7,4,6,5,8,2,3,1] => 1010101 => 3
[7,3,6,5,8,2,4,1] => 1010101 => 3
[7,3,6,4,8,2,5,1] => 1010101 => 3
[7,3,5,4,8,2,6,1] => 1010101 => 3
[7,3,6,8,4,5,1,2] => 1001010 => 3
[1,6,5,7,4,2,8,3] => 0101101 => 2
[1,2,7,4,8,5,6,3] => 0010101 => 2
[2,6,7,4,8,5,1,3] => 0010110 => 2
[2,5,8,6,4,3,7,1] => 0011101 => 1
[6,4,2,5,7,1,8,3] => 1100101 => 2
[2,7,5,4,6,8,1,3] => 0110010 => 2
[9,1,2,3,4,5,8,7,6] => 10000011 => 1
[9,1,2,3,4,8,6,7,5] => 10000101 => 2
[8,1,4,7,3,5,6,2] => 1001001 => 2
[9,1,2,8,4,5,6,7,3] => 10010001 => 2
[8,3,7,2,4,5,6,1] => 1010001 => 2
[9,1,8,3,4,5,6,7,2] => 10100001 => 2
[10,1,2,3,4,5,6,9,8,7] => 100000011 => 1
[9,1,2,3,4,7,8,6,5] => 10000011 => 1
[10,1,2,3,4,5,9,7,8,6] => 100000101 => 2
[9,1,2,3,6,8,5,7,4] => 10000101 => 2
[9,1,2,5,8,4,6,7,3] => 10001001 => 2
[10,1,2,3,9,5,6,7,8,4] => 100010001 => 2
[8,1,4,5,7,3,6,2] => 1000101 => 2
[9,1,4,8,3,5,6,7,2] => 10010001 => 2
[10,1,2,9,4,5,6,7,8,3] => 100100001 => 2
[9,3,8,2,4,5,6,7,1] => 10100001 => 2
[5,6,3,4,2,8,7,1] => 0101011 => 2
[2,5,7,4,6,8,1,3] => 0010010 => 2
[2,5,6,4,1,3,8,7] => 0011001 => 1
[4,6,1,3,5,7,2,8] => 0100010 => 2
[3,2,7,5,8,1,6,4] => 1010101 => 3
[4,3,6,8,5,2,1,7] => 1001110 => 2
[4,5,3,2,1,8,6,7] => 0111010 => 2
[3,6,5,8,1,7,4,2] => 0101011 => 2
[4,1,6,8,5,2,3,7] => 1001100 => 2
[4,5,2,8,6,7,1,3] => 0101010 => 3
[4,5,2,8,6,7,3,1] => 0101011 => 2
[3,5,8,6,2,4,7,1] => 0011001 => 1
[2,5,1,6,4,8,3,7] => 0101010 => 3
[3,2,4,5,8,6,1,7] => 1000110 => 2
[4,5,2,1,3,8,6,7] => 0110010 => 2
[4,2,3,6,8,5,1,7] => 1000110 => 2
[4,5,1,3,2,8,6,7] => 0101010 => 3
[3,4,5,8,6,1,7,2] => 0001101 => 1
[3,4,5,8,6,1,2,7] => 0001100 => 1
[6,4,1,3,7,8,2,5] => 1100010 => 2
[6,3,1,2,5,4,8,7] => 1100101 => 2
[7,3,1,2,5,4,8,6] => 1100101 => 2
[8,2,6,4,1,3,7,5] => 1011001 => 2
[1,5,8,2,4,3,7,6] => 0010101 => 2
[4,3,7,8,2,6,5,1] => 1001011 => 2
[3,8,5,1,2,6,7,4] => 0110001 => 1
[2,4,7,8,3,6,5,1] => 0001011 => 1
[5,4,7,8,3,6,1,2] => 1001010 => 3
[6,8,1,3,2,5,7,4] => 0101001 => 2
[1,4,8,5,7,2,3,6] => 0010100 => 2
[1,8,7,3,2,4,5,6] => 0111000 => 1
[8,6,2,7,3,4,1,5] => 1101010 => 3
[8,6,2,7,3,4,5,1] => 1101001 => 2
[5,6,3,2,8,7,1,4] => 0110110 => 2
[5,1,6,7,8,3,2,4] => 1000110 => 2
[1,5,6,3,7,2,4,8] => 0010100 => 2
[1,5,6,7,4,2,3,8] => 0001100 => 1
[5,1,6,7,3,4,2,8] => 1001010 => 3
[8,6,1,7,3,4,5,2] => 1101001 => 2
[6,8,5,1,7,4,2,3] => 0110110 => 2
[8,4,2,3,5,7,6,1] => 1100011 => 1
[4,8,5,2,3,1,6,7] => 0110100 => 2
[5,4,8,3,1,2,6,7] => 1011000 => 2
[8,4,7,3,2,5,6,1] => 1011001 => 2
[6,8,5,1,7,3,4,2] => 0110101 => 2
[6,2,7,3,8,1,4,5] => 1010100 => 3
[8,4,2,6,7,1,5,3] => 1100101 => 2
[1,7,8,3,6,5,2,4] => 0010110 => 2
[4,6,7,5,1,8,2,3] => 0011010 => 2
[3,5,2,6,8,7,4,1] => 0100111 => 1
[7,3,6,8,4,1,2,5] => 1001100 => 2
[6,4,2,3,7,5,8,1] => 1100101 => 2
[6,3,7,5,1,2,8,4] => 1011001 => 2
[7,2,5,4,8,6,3,1] => 1010111 => 2
[6,2,3,8,7,4,5,1] => 1001101 => 2
[7,1,2,8,4,6,5,3] => 1001011 => 2
[3,5,8,1,2,7,6,4] => 0010011 => 1
[1,4,3,6,8,5,2,7] => 0100110 => 2
[7,6,2,8,5,3,4,1] => 1101101 => 2
[6,8,3,5,4,7,2,1] => 0101011 => 2
[8,2,7,6,4,1,3,5] => 1011100 => 2
[8,3,7,5,1,6,2,4] => 1011010 => 3
[8,5,7,1,4,2,6,3] => 1010101 => 3
[4,7,1,5,6,3,2,8] => 0100110 => 2
[4,5,7,1,6,3,8,2] => 0010101 => 2
[3,9,2,1,4,5,6,7,8] => 01100000 => 1
[4,6,5,7,2,3,8,1] => 0101001 => 2
[3,6,7,2,5,8,4,1] => 0010011 => 1
[5,3,6,7,4,8,1,2] => 1001010 => 3
[4,2,7,8,3,6,5,1] => 1001011 => 2
[4,2,7,8,5,6,1,3] => 1001010 => 3
[5,4,3,7,8,1,6,2] => 1100101 => 2
[3,5,7,8,4,2,1,6] => 0001110 => 1
[4,6,7,3,2,8,1,5] => 0011010 => 2
[4,6,5,3,7,8,1,2] => 0110010 => 2
[5,6,2,4,7,8,3,1] => 0100011 => 1
[5,6,3,2,8,4,7,1] => 0110101 => 2
[5,6,2,8,3,4,7,1] => 0101001 => 2
[3,7,4,8,1,6,5,2] => 0101011 => 2
[5,2,4,8,6,7,3,1] => 1001011 => 2
[5,2,6,4,8,7,3,1] => 1010111 => 2
[2,4,7,8,6,5,1,3] => 0001110 => 1
[3,4,5,6,8,9,1,7,2] => 00000101 => 1
[3,4,6,7,8,9,1,5,2] => 00000101 => 1
[3,5,6,7,8,9,1,4,2] => 00000101 => 1
[4,5,6,7,8,9,1,3,2] => 00000101 => 1
[3,4,5,6,7,9,10,1,8,2] => 000000101 => 1
[3,4,5,7,8,9,10,1,6,2] => 000000101 => 1
[5,2,6,7,8,1,4,3] => 1000101 => 2
[3,4,6,7,8,9,10,1,5,2] => 000000101 => 1
[4,5,6,7,8,9,10,1,3,2] => 000000101 => 1
[3,1,4,5,6,7,8,9,11,2,10] => 1000000010 => 2
[4,8,2,7,5,3,1,6] => 0101110 => 2
[1,2,4,6,5,8,3,7] => 0001010 => 2
[5,4,2,3,1,7,8,6] => 1101001 => 2
[3,5,8,1,7,4,2,6] => 0010110 => 2
[5,8,6,1,7,2,3,4] => 0110100 => 2
[5,1,4,3,8,2,6,7] => 1010100 => 3
[8,4,7,5,6,2,1,3] => 1010110 => 3
[3,8,6,7,5,2,4,1] => 0101101 => 2
[8,2,5,4,7,3,6,1] => 1010101 => 3
[4,2,8,7,3,6,5,1] => 1011011 => 2
[3,7,8,6,1,4,5,2] => 0011001 => 1
[4,6,7,8,2,1,5,3] => 0001101 => 1
[4,7,6,3,8,1,5,2] => 0110101 => 2
[3,8,1,4,6,2,5,7] => 0100100 => 2
[2,4,5,3,8,7,1,6] => 0010110 => 2
[4,7,5,6,2,8,1,3] => 0101010 => 3
[8,7,5,1,6,3,2,4] => 1110110 => 2
[7,8,6,2,3,5,1,4] => 0110010 => 2
[2,8,4,6,7,3,5,1] => 0100101 => 2
[4,1,6,7,8,2,5,3] => 1000101 => 2
[8,6,3,4,1,2,7,5] => 1101001 => 2
[2,5,8,4,6,1,3,7] => 0010100 => 2
[4,7,8,6,5,1,3,2] => 0011101 => 1
[8,4,6,7,3,5,2,1] => 1001011 => 2
[6,8,4,7,3,5,2,1] => 0101011 => 2
[7,4,5,8,3,6,2,1] => 1001011 => 2
[8,4,7,3,5,6,2,1] => 1010011 => 2
[3,6,4,2,8,1,7,5] => 0110101 => 2
[8,4,6,2,1,7,3,5] => 1011010 => 3
[3,8,6,2,1,7,4,5] => 0111010 => 2
[3,1,8,2,4,6,5,7] => 1010010 => 3
[8,1,7,6,2,5,4,3] => 1011011 => 2
[8,5,4,3,7,6,1,2] => 1110110 => 2
[4,8,1,3,6,7,5,2] => 0100011 => 1
[3,5,8,6,1,7,4,2] => 0011011 => 1
[8,1,4,7,5,2,6,3] => 1001101 => 2
[1,4,8,6,7,3,5,2] => 0010101 => 2
[4,1,6,7,8,5,3,2] => 1000111 => 1
[3,7,8,6,4,1,5,2] => 0011101 => 1
[5,4,2,3,6,7,8,9,1] => 11000001 => 1
[6,5,4,2,3,7,8,9,1] => 11100001 => 1
[7,6,5,4,2,3,8,9,1] => 11110001 => 1
[4,6,1,5,7,2,3,8] => 0100100 => 2
[4,8,5,3,2,7,1,6] => 0111010 => 2
[5,4,8,1,3,7,2,6] => 1010010 => 3
[8,4,5,3,1,7,2,6] => 1011010 => 3
[7,4,5,3,1,8,6,2] => 1011011 => 2
[5,6,8,7,2,4,3,1] => 0011011 => 1
[5,7,8,6,4,2,3,1] => 0011101 => 1
[6,8,7,5,1,3,2,4] => 0111010 => 2
[3,8,2,6,7,5,1,4] => 0100110 => 2
[4,7,6,3,8,2,5,1] => 0110101 => 2
[6,7,4,1,8,2,5,3] => 0110101 => 2
[5,7,6,8,3,2,4,1] => 0101101 => 2
[7,6,4,2,8,1,5,3] => 1110101 => 2
[6,3,4,8,7,1,2,5] => 1001100 => 2
[2,7,4,8,1,6,3,5] => 0101010 => 3
[5,3,1,6,7,8,2,4] => 1100010 => 2
[3,4,7,8,6,1,2,5] => 0001100 => 1
[2,1,4,7,8,6,3,5] => 1000110 => 2
[2,4,5,8,1,6,3,7] => 0001010 => 2
[3,4,6,8,2,5,7,1] => 0001001 => 1
[1,8,5,6,4,2,3,7] => 0101100 => 2
[1,8,7,6,2,4,5,3] => 0111001 => 1
[6,4,8,5,7,3,1,2] => 1010110 => 3
[1,6,4,7,2,5,8,3] => 0101001 => 2
[2,7,5,1,8,6,3,4] => 0110110 => 2
[4,7,1,6,5,3,8,2] => 0101101 => 2
[1,7,5,6,4,8,2,3] => 0101010 => 3
[2,4,8,5,7,3,1,6] => 0010110 => 2
[8,3,1,4,6,2,7,5] => 1100101 => 2
[7,2,6,4,5,8,1,3] => 1010010 => 3
[7,2,5,4,6,8,1,3] => 1010010 => 3
[4,6,7,8,9,1,2,3,5] => 00001000 => 1
[5,7,8,9,1,2,3,4,6] => 00010000 => 1
[6,4,5,7,3,8,2,9,1,10] => 100101010 => 4
[2,7,1,5,3,8,6,4] => 0101011 => 2
[3,5,7,2,8,4,1,6] => 0010110 => 2
[2,4,3,8,5,1,7,6] => 0101101 => 2
[7,3,2,1,4,8,6,5] => 1110011 => 1
[2,8,3,4,1,7,6,5] => 0101011 => 2
[4,7,6,8,2,5,3,1] => 0101011 => 2
[2,6,7,1,4,5,8,3] => 0010001 => 1
[8,7,2,6,1,5,3,4] => 1101010 => 3
[7,1,3,8,2,6,4,5] => 1001010 => 3
[6,2,5,3,4,7,1,8] => 1010010 => 3
[2,7,3,4,1,5,8,6] => 0101001 => 2
[2,5,8,1,6,7,3,4] => 0010010 => 2
[6,2,8,3,4,5,1,7] => 1010010 => 3
[7,3,4,6,8,2,1,5] => 1000110 => 2
[5,1,3,7,2,8,4,6] => 1001010 => 3
[5,2,4,6,1,7,8,3] => 1001001 => 2
[3,8,4,6,1,5,7,2] => 0101001 => 2
[8,7,3,2,5,1,6,4] => 1110101 => 2
[3,6,4,1,2,5,8,7] => 0110001 => 1
[5,2,7,1,4,3,6,8] => 1010100 => 3
[6,3,1,4,2,5,8,7] => 1101001 => 2
[5,2,3,1,4,6,8,7] => 1010001 => 2
[4,2,7,1,3,5,8,6] => 1010001 => 2
[3,5,4,1,6,2,8,7] => 0110101 => 2
[4,5,7,2,8,3,1,6] => 0010110 => 2
[3,5,1,7,6,2,8,4] => 0101101 => 2
[8,3,6,2,7,5,4,1] => 1010111 => 2
[8,4,2,6,5,3,7,1] => 1101101 => 2
[5,4,2,7,1,8,6,3] => 1101011 => 2
[4,1,7,6,5,3,2,8] => 1011110 => 2
[2,3,6,7,1,8,5,4] => 0001011 => 1
[3,6,1,2,7,8,5,4] => 0100011 => 1
[4,5,1,8,7,6,3,2] => 0101111 => 1
[8,4,5,2,7,6,3,1] => 1010111 => 2
[4,1,3,6,7,5,2,8] => 1000110 => 2
[3,1,4,5,7,6,2,8] => 1000110 => 2
[4,5,1,3,6,8,7,2] => 0100011 => 1
[3,8,5,1,2,4,6,7] => 0110000 => 1
[8,5,1,2,4,3,6,7] => 1100100 => 2
[5,8,4,1,2,3,6,7] => 0110000 => 1
[3,5,8,1,4,2,7,6] => 0010101 => 2
[2,8,5,7,1,4,3,6] => 0101010 => 3
[4,8,7,5,1,2,3,6] => 0111000 => 1
[8,1,2,4,6,3,7,5] => 1000101 => 2
[7,6,1,4,2,3,8,5] => 1101001 => 2
[6,1,2,7,8,4,3,5] => 1000110 => 2
[7,8,1,2,5,3,4,6] => 0100100 => 2
[1,8,4,7,5,2,3,6] => 0101100 => 2
[8,4,7,2,1,6,3,5] => 1011010 => 3
[4,5,8,2,1,6,7,3] => 0011001 => 1
[7,4,2,5,3,6,1,8] => 1101010 => 3
[3,1,6,7,5,2,4,8] => 1001100 => 2
[8,4,2,5,3,6,7,1] => 1101001 => 2
[4,8,1,5,3,6,7,2] => 0101001 => 2
[4,1,7,5,2,6,3,8] => 1011010 => 3
[5,1,4,6,3,7,8,2] => 1001001 => 2
[7,1,5,3,6,8,2,4] => 1010010 => 3
[8,1,5,3,6,7,2,4] => 1010010 => 3
[3,6,5,2,4,7,8,1] => 0110001 => 1
[1,7,5,4,6,8,2,3] => 0110010 => 2
[4,7,8,2,5,6,1,3] => 0010010 => 2
[2,8,5,4,6,7,1,3] => 0110010 => 2
[7,5,1,3,2,6,4,8,9] => 11010100 => 3
[9,6,1,3,4,2,7,8,5] => 11001001 => 2
[8,3,6,1,4,2,7,5,9] => 10101010 => 4
[9,8,1,7,2,3,4,5,6] => 11010000 => 2
[9,3,4,7,1,5,2,8,6] => 10010101 => 3
[7,5,1,3,2,6,4,8,9,10] => 110101000 => 3
[9,6,1,3,4,2,7,8,5,10] => 110010010 => 3
[8,3,6,1,4,2,7,5,9,10] => 101010100 => 4
[10,1,8,3,2,5,7,4,9,6] => 101100101 => 3
[10,3,7,1,4,5,2,8,9,6] => 101001001 => 3
[9,3,4,7,1,5,2,8,6,10] => 100101010 => 4
[7,10,1,3,8,2,6,5,9,4] => 010010101 => 3
[10,9,5,1,8,2,4,3,6,7] => 111010100 => 3
[10,3,4,5,8,1,6,2,9,7] => 100010101 => 3
[4,5,2,6,1,8,3,7] => 0101010 => 3
[5,1,8,6,7,3,4,2] => 1010101 => 3
[6,8,3,2,4,1,5,7] => 0110100 => 2
[5,4,8,2,1,3,6,7] => 1011000 => 2
[1,4,8,3,2,6,5,7] => 0011010 => 2
[1,3,8,4,2,7,5,6] => 0011010 => 2
[7,2,8,3,1,4,5,6] => 1011000 => 2
[8,1,3,2,7,5,4,6] => 1010110 => 3
[9,8,7,5,6,4,3,2,10,1] => 111011101 => 2
[8,7,5,4,6,3,2,9,1] => 11101101 => 2
[8,7,4,6,5,3,2,9,1] => 11011101 => 2
[2,3,4,7,8,9,6,5,1] => 00000111 => 0
[2,3,6,7,8,9,5,4,1] => 00000111 => 0
[2,5,6,7,8,9,4,3,1] => 00000111 => 0
[2,3,4,5,6,1,9,8,7] => 00001011 => 1
[2,3,4,5,1,9,8,7,6] => 00010111 => 1
[2,3,4,5,6,9,10,8,7,1] => 000000111 => 0
[2,3,4,1,8,9,7,6,5] => 00100111 => 1
[2,3,4,5,8,9,10,7,6,1] => 000000111 => 0
[2,3,1,7,8,9,6,5,4] => 01000111 => 1
[2,3,4,7,8,9,10,6,5,1] => 000000111 => 0
[2,1,6,7,8,9,5,4,3] => 10000111 => 1
[2,3,6,7,8,9,10,5,4,1] => 000000111 => 0
[2,5,6,7,8,9,10,4,3,1] => 000000111 => 0
[9,10,2,4,6,8,1,3,5,7] => 010001000 => 2
[7,8,2,4,6,10,1,3,5,9] => 010001000 => 2
[9,7,10,2,4,6,8,1,3,5] => 101000100 => 3
[8,9,10,7,2,4,6,1,3,5] => 001100100 => 2
[5,6,2,4,8,10,1,3,7,9] => 010001000 => 2
[5,6,9,10,2,4,8,1,3,7] => 000100100 => 2
[7,5,8,2,4,6,10,1,3,9] => 101000100 => 3
[7,9,5,10,2,4,6,8,1,3] => 010100010 => 3
[5,8,9,10,7,2,4,6,1,3] => 000110010 => 2
[6,7,8,5,2,4,10,1,3,9] => 001100100 => 2
[9,6,7,5,10,2,4,8,1,3] => 101010010 => 4
[8,9,6,10,5,7,2,4,1,3] => 010101010 => 4
[7,8,9,10,6,5,2,4,1,3] => 000111010 => 2
[3,4,2,6,8,10,1,5,7,9] => 010001000 => 2
[3,4,9,10,2,6,8,1,5,7] => 000100100 => 2
[3,4,7,8,2,6,10,1,5,9] => 000100100 => 2
[9,3,4,7,10,2,6,8,1,5] => 100010010 => 3
[8,9,10,3,4,7,2,6,1,5] => 001001010 => 3
[5,3,6,2,4,8,10,1,7,9] => 101000100 => 3
[5,3,6,9,10,2,4,8,1,7] => 100010010 => 3
[5,7,3,8,2,4,6,10,1,9] => 010100010 => 3
[5,7,9,3,10,2,4,6,8,1] => 001010001 => 2
[8,5,9,10,3,7,2,4,6,1] => 100101001 => 3
[3,6,7,8,5,2,4,10,1,9] => 000110010 => 2
[9,3,6,7,5,10,2,4,8,1] => 100101001 => 3
[6,8,3,9,10,5,7,2,4,1] => 010010101 => 3
[7,8,9,10,3,6,5,2,4,1] => 000101101 => 2
[4,5,6,3,2,8,10,1,7,9] => 001100100 => 2
[4,5,6,3,9,10,2,8,1,7] => 001001010 => 3
[7,4,5,3,8,2,6,10,1,9] => 101010010 => 4
[7,4,5,9,3,10,2,6,8,1] => 100101001 => 3
[4,8,5,9,10,3,7,2,6,1] => 010010101 => 3
[6,7,4,8,3,5,2,10,1,9] => 010101010 => 4
[6,7,9,4,3,5,10,2,8,1] => 001100101 => 2
[8,6,9,4,10,3,5,7,2,1] => 101010011 => 3
[7,4,8,9,10,6,3,5,2,1] => 100011011 => 2
[5,6,7,8,4,3,2,10,1,9] => 000111010 => 2
[9,5,6,7,4,3,10,2,8,1] => 100110101 => 3
[8,9,5,6,4,10,3,7,2,1] => 010101011 => 3
[7,8,9,5,10,4,6,3,2,1] => 001010111 => 2
[11,12,2,4,6,8,10,1,3,5,7,9] => 01000010000 => 2
[9,10,2,4,6,8,12,1,3,5,7,11] => 01000010000 => 2
[11,9,12,2,4,6,8,10,1,3,5,7] => 10100001000 => 3
[7,8,2,4,6,10,12,1,3,5,9,11] => 01000010000 => 2
[7,8,11,12,2,4,6,10,1,3,5,9] => 00010001000 => 2
[9,7,10,2,4,6,8,12,1,3,5,11] => 10100001000 => 3
[9,11,7,12,2,4,6,8,10,1,3,5] => 01010000100 => 3
[11,8,9,7,12,2,4,6,10,1,3,5] => 10101000100 => 4
[10,11,8,12,7,9,2,4,6,1,3,5] => 01010100100 => 4
[5,6,2,4,8,10,12,1,3,7,9,11] => 01000010000 => 2
[5,6,11,12,2,4,8,10,1,3,7,9] => 00010001000 => 2
[5,6,9,10,2,4,8,12,1,3,7,11] => 00010001000 => 2
[11,5,6,9,12,2,4,8,10,1,3,7] => 10001000100 => 3
[10,11,12,5,6,9,2,4,8,1,3,7] => 00100100100 => 3
[7,5,8,2,4,6,10,12,1,3,9,11] => 10100001000 => 3
[7,5,8,11,12,2,4,6,10,1,3,9] => 10001000100 => 3
[7,9,5,10,2,4,6,8,12,1,3,11] => 01010000100 => 3
[7,9,11,5,12,2,4,6,8,10,1,3] => 00101000010 => 3
[10,7,11,12,5,9,2,4,6,8,1,3] => 10010100010 => 4
[11,5,8,9,7,12,2,4,6,10,1,3] => 10010100010 => 4
[8,10,5,11,12,7,9,2,4,6,1,3] => 01001010010 => 4
[6,7,8,5,11,12,2,4,10,1,3,9] => 00100100100 => 3
[9,6,7,5,10,2,4,8,12,1,3,11] => 10101000100 => 4
[9,6,7,11,5,12,2,4,8,10,1,3] => 10010100010 => 4
[6,10,7,11,12,5,9,2,4,8,1,3] => 01001010010 => 4
[8,9,6,10,5,7,2,4,12,1,3,11] => 01010100100 => 4
[10,8,11,6,12,5,7,9,2,4,1,3] => 10101001010 => 5
[10,11,7,8,6,12,5,9,2,4,1,3] => 01010101010 => 5
[3,4,2,6,8,10,12,1,5,7,9,11] => 01000010000 => 2
[3,4,11,12,2,6,8,10,1,5,7,9] => 00010001000 => 2
[3,4,9,10,2,6,8,12,1,5,7,11] => 00010001000 => 2
[11,3,4,9,12,2,6,8,10,1,5,7] => 10001000100 => 3
[10,11,12,3,4,9,2,6,8,1,5,7] => 00100100100 => 3
[3,4,7,8,2,6,10,12,1,5,9,11] => 00010001000 => 2
[9,3,4,7,10,2,6,8,12,1,5,11] => 10001000100 => 3
[9,11,3,4,7,12,2,6,8,10,1,5] => 01000100010 => 3
[3,10,11,12,4,7,9,2,6,8,1,5] => 00010010010 => 3
[8,9,10,3,4,7,2,6,12,1,5,11] => 00100100100 => 3
[11,8,9,3,4,7,12,2,6,10,1,5] => 10100010010 => 4
[10,11,8,12,3,4,7,9,2,6,1,5] => 01010001010 => 4
[5,3,6,2,4,8,10,12,1,7,9,11] => 10100001000 => 3
[5,3,6,11,12,2,4,8,10,1,7,9] => 10001000100 => 3
[5,3,6,9,10,2,4,8,12,1,7,11] => 10001000100 => 3
[5,11,3,6,9,12,2,4,8,10,1,7] => 01000100010 => 3
[5,10,11,12,3,6,9,2,4,8,1,7] => 00010010010 => 3
[5,7,3,8,2,4,6,10,12,1,9,11] => 01010000100 => 3
[5,7,3,8,11,12,2,4,6,10,1,9] => 01000100010 => 3
[5,7,9,3,10,2,4,6,8,12,1,11] => 00101000010 => 3
[5,7,9,11,3,12,2,4,6,8,10,1] => 00010100001 => 2
[10,5,7,11,12,3,9,2,4,6,8,1] => 10001010001 => 3
[8,5,9,10,3,7,2,4,6,12,1,11] => 10010100010 => 4
[8,11,5,9,3,7,12,2,4,6,10,1] => 01010010001 => 3
[8,10,11,5,12,3,7,9,2,4,6,1] => 00101001001 => 3
[3,6,7,8,5,11,12,2,4,10,1,9] => 00010010010 => 3
[9,3,6,7,5,10,2,4,8,12,1,11] => 10010100010 => 4
[9,3,6,7,11,5,12,2,4,8,10,1] => 10001010001 => 3
[6,10,3,7,11,12,5,9,2,4,8,1] => 01000101001 => 3
[6,8,3,9,10,5,7,2,4,12,1,11] => 01001010010 => 4
[6,8,9,3,11,5,7,12,2,4,10,1] => 00101001001 => 3
[10,6,8,3,11,12,5,7,9,2,4,1] => 10100100101 => 4
[11,7,8,9,3,6,5,12,2,4,10,1] => 10010101001 => 4
[10,11,7,8,3,6,12,5,9,2,4,1] => 01010010101 => 4
[4,5,6,3,11,12,2,8,10,1,7,9] => 00100100100 => 3
[4,5,6,3,9,10,2,8,12,1,7,11] => 00100100100 => 3
[4,5,6,11,3,9,12,2,8,10,1,7] => 00010010010 => 3
[7,4,5,3,8,2,6,10,12,1,9,11] => 10101000100 => 4
[7,4,5,3,8,11,12,2,6,10,1,9] => 10100010010 => 4
[7,4,5,9,3,10,2,6,8,12,1,11] => 10010100010 => 4
[7,4,5,9,11,3,12,2,6,8,10,1] => 10001010001 => 3
[7,10,4,5,11,12,3,9,2,6,8,1] => 01000101001 => 3
[4,8,5,9,10,3,7,2,6,12,1,11] => 01001010010 => 4
[4,8,11,5,9,3,7,12,2,6,10,1] => 00101001001 => 3
[6,7,4,8,3,5,2,10,12,1,9,11] => 01010100100 => 4
[6,7,4,8,3,5,11,12,2,10,1,9] => 01010001010 => 4
[6,7,9,4,11,3,5,12,2,8,10,1] => 00101001001 => 3
[10,6,7,4,11,12,3,5,9,2,8,1] => 10100100101 => 4
[8,6,9,4,10,3,5,7,2,12,1,11] => 10101001010 => 5
[9,5,6,7,4,11,3,12,2,8,10,1] => 10010101001 => 4
[5,10,6,7,4,11,12,3,9,2,8,1] => 01010010101 => 4
[8,9,5,6,4,10,3,7,2,12,1,11] => 01010101010 => 5
[7,6,1,8,2,5,4,3] => 1101011 => 2
[8,4,1,6,7,3,5,2] => 1100101 => 2
[5,8,4,2,1,6,3,7] => 0111010 => 2
[7,6,4,1,2,5,3,8] => 1110010 => 2
[5,4,2,8,1,6,3,7] => 1101010 => 3
[8,7,2,6,4,5,3,1] => 1101011 => 2
[7,2,8,4,3,6,1,5] => 1011010 => 3
[1,7,5,4,8,6,2,3] => 0110110 => 2
[4,8,6,3,5,2,1,7] => 0110110 => 2
[5,8,6,3,2,7,1,4] => 0111010 => 2
[5,7,6,3,2,4,8,1] => 0111001 => 1
[5,7,3,2,8,6,4,1] => 0110111 => 1
[4,5,1,6,8,2,7,3] => 0100101 => 2
[1,2,4,5,6,8,10,9,3,7] => 000000110 => 1
[1,2,3,5,7,8,10,6,9,4] => 000000101 => 1
[1,2,4,5,7,8,10,3,9,6] => 000000101 => 1
[1,2,4,6,7,5,10,8,3,9] => 000010110 => 2
[1,3,4,2,7,8,10,5,9,6] => 001000101 => 2
[1,3,4,6,7,2,10,8,5,9] => 000010110 => 2
[1,2,3,5,6,9,8,10,7,4] => 000001011 => 1
[1,2,4,5,6,9,8,10,3,7] => 000001010 => 2
[1,2,3,5,7,9,6,10,8,4] => 000001011 => 1
[1,2,4,5,7,9,3,10,8,6] => 000001011 => 1
[1,2,4,6,5,9,7,10,3,8] => 000101010 => 3
[1,3,4,2,7,9,5,10,8,6] => 001001011 => 2
[1,3,4,6,2,9,7,10,5,8] => 000101010 => 3
[1,2,3,5,8,7,9,6,10,4] => 000010101 => 2
[1,2,4,5,8,7,9,3,10,6] => 000010101 => 2
[1,2,4,6,8,5,9,3,10,7] => 000010101 => 2
[1,2,4,7,6,8,5,9,3,10] => 000101010 => 3
[1,3,4,2,8,7,9,5,10,6] => 001010101 => 3
[1,3,4,6,8,2,9,5,10,7] => 000010101 => 2
[1,3,4,7,6,8,2,9,5,10] => 000101010 => 3
[1,2,3,6,5,9,7,10,8,4] => 000101011 => 2
[1,2,4,6,3,9,7,10,8,5] => 000101011 => 2
[1,2,5,4,6,9,7,10,3,8] => 001001010 => 3
[1,3,2,6,4,9,7,10,8,5] => 010101011 => 3
[1,3,5,2,6,9,7,10,4,8] => 001001010 => 3
[1,2,3,6,8,5,9,7,10,4] => 000010101 => 2
[1,2,4,6,8,3,9,7,10,5] => 000010101 => 2
[1,2,5,4,8,6,9,3,10,7] => 001010101 => 3
[1,2,5,7,4,8,6,9,3,10] => 000101010 => 3
[1,3,2,6,8,4,9,7,10,5] => 010010101 => 3
[1,3,5,2,8,6,9,4,10,7] => 001010101 => 3
[1,3,5,7,2,8,6,9,4,10] => 000101010 => 3
[1,4,3,5,8,2,9,6,10,7] => 010010101 => 3
[1,4,3,7,5,8,2,9,6,10] => 010101010 => 4
[2,1,3,6,4,9,7,10,8,5] => 100101011 => 3
[2,1,5,3,6,9,7,10,4,8] => 101001010 => 4
[2,1,3,6,8,4,9,7,10,5] => 100010101 => 3
[2,1,5,3,8,6,9,4,10,7] => 101010101 => 4
[2,1,5,7,3,8,6,9,4,10] => 100101010 => 4
[2,4,1,5,8,3,9,6,10,7] => 010010101 => 3
[2,4,1,7,5,8,3,9,6,10] => 010101010 => 4
[1,6,3,7,2,4,8,5] => 0101001 => 2
[8,9,7,6,5,4,3,1,2] => 01111110 => 1
[8,6,7,5,4,3,2,1,9] => 10111110 => 2
[8,7,9,6,5,4,3,1,2] => 10111110 => 2
[9,7,8,6,5,4,3,1,2] => 10111110 => 2
[4,3,7,1,6,2,5,8] => 1010100 => 3
[4,3,1,6,7,2,5,8] => 1100100 => 2
[6,3,1,5,7,2,4,8] => 1100100 => 2
[8,7,5,4,3,6,9,2,1] => 11110011 => 1
[8,7,6,9,5,3,4,2,1] => 11011011 => 2
[8,7,9,6,5,4,2,3,1] => 10111101 => 2
[5,2,1,4,8,6,7,3] => 1100101 => 2
[4,5,2,1,3,7,6,8] => 0110010 => 2
[8,2,7,4,1,6,5,3] => 1011011 => 2
[3,2,8,4,1,6,5,7] => 1011010 => 3
[3,7,6,4,1,5,8,2] => 0111001 => 1
[7,1,8,4,2,3,6,5] => 1011001 => 2
[2,7,6,4,5,1,8,3] => 0110101 => 2
[4,6,8,1,7,3,5,2] => 0010101 => 2
[3,6,8,1,5,7,4,2] => 0010011 => 1
[2,8,3,1,6,7,4,5] => 0110010 => 2
[4,5,6,8,2,1,7,3] => 0001101 => 1
[4,5,6,8,1,3,7,2] => 0001001 => 1
[4,5,8,3,2,1,7,6] => 0011101 => 1
[4,5,1,3,2,6,7,8] => 0101000 => 2
[4,7,3,2,1,6,5,8] => 0111010 => 2
[4,7,8,3,5,1,6,2] => 0010101 => 2
[4,7,1,3,5,6,2,8] => 0100010 => 2
[4,8,3,2,1,6,7,5] => 0111001 => 1
[5,2,8,1,4,6,7,3] => 1010001 => 2
[5,6,3,7,8,1,4,2] => 0100101 => 2
[5,7,1,4,3,6,2,8] => 0101010 => 3
[6,2,3,7,1,5,4,8] => 1001010 => 3
[6,2,8,1,5,4,7,3] => 1010101 => 3
[6,1,3,4,5,2,7,8] => 1000100 => 2
[7,1,3,4,5,6,2,8] => 1000010 => 2
[7,2,5,1,3,6,4,8] => 1010010 => 3
[6,5,2,7,8,4,3,1] => 1100111 => 1
[7,5,3,6,4,2,1,8] => 1101110 => 2
[1,3,6,7,5,2,4,8] => 0001100 => 1
[1,5,2,6,8,7,3,4] => 0100110 => 2
[3,2,1,5,6,7,8,9,4] => 11000001 => 1
[3,2,6,1,4,7,8,9,5] => 10100001 => 2
[4,3,2,1,6,7,8,9,5] => 11100001 => 1
[3,2,7,8,1,4,5,9,6] => 10010001 => 2
[4,7,2,5,1,3,8,9,6] => 01010001 => 2
[4,3,2,7,1,5,8,9,6] => 11010001 => 2
[5,4,3,2,1,7,8,9,6] => 11110001 => 1
[4,3,2,8,9,1,5,6,7] => 11001000 => 2
[8,5,6,3,4,1,2,9,7] => 10101001 => 3
[5,3,8,2,6,1,4,9,7] => 10101001 => 3
[5,4,3,2,8,1,6,9,7] => 11101001 => 2
[6,5,4,3,2,1,8,9,7] => 11111001 => 1
[6,9,4,7,2,5,1,3,8] => 01010100 => 3
[6,4,3,9,2,7,1,5,8] => 11010100 => 3
[6,5,4,3,2,9,1,7,8] => 11110100 => 2
[5,6,1,2,3,7,8,9,10,4] => 010000001 => 1
[2,5,1,3,6,7,8,9,10,4] => 010000001 => 1
[3,2,1,5,6,7,8,9,10,4] => 110000001 => 1
[6,7,8,1,2,3,4,9,10,5] => 001000001 => 1
[2,6,7,1,3,4,8,9,10,5] => 001000001 => 1
[6,3,4,1,2,7,8,9,10,5] => 101000001 => 2
[3,2,6,1,4,7,8,9,10,5] => 101000001 => 2
[4,3,2,1,6,7,8,9,10,5] => 111000001 => 1
[2,7,8,9,1,3,4,5,10,6] => 000100001 => 1
[7,3,4,8,1,2,5,9,10,6] => 100100001 => 2
[3,2,7,8,1,4,5,9,10,6] => 100100001 => 2
[4,7,2,5,1,3,8,9,10,6] => 010100001 => 2
[4,3,2,7,1,5,8,9,10,6] => 110100001 => 2
[5,4,3,2,1,7,8,9,10,6] => 111100001 => 1
[8,3,4,9,10,1,2,5,6,7] => 100010000 => 2
[8,9,4,5,6,1,2,3,10,7] => 010010001 => 2
[4,3,2,8,9,1,5,6,10,7] => 110010001 => 2
[8,5,6,3,4,1,2,9,10,7] => 101010001 => 3
[5,3,8,2,6,1,4,9,10,7] => 101010001 => 3
[5,4,3,2,8,1,6,9,10,7] => 111010001 => 2
[6,5,4,3,2,1,8,9,10,7] => 111110001 => 1
[5,9,10,2,6,7,1,3,4,8] => 001001000 => 2
[9,5,6,3,4,10,1,2,7,8] => 101001000 => 3
[5,3,9,2,6,10,1,4,7,8] => 101001000 => 3
[5,4,3,2,9,10,1,6,7,8] => 111001000 => 2
[6,9,4,7,2,5,1,3,10,8] => 010101001 => 3
[6,4,3,9,2,7,1,5,10,8] => 110101001 => 3
[6,5,4,3,2,9,1,7,10,8] => 111101001 => 2
[7,6,5,4,3,2,1,9,10,8] => 111111001 => 1
[10,7,8,5,6,3,4,1,2,9] => 101010100 => 4
[7,5,10,3,8,2,6,1,4,9] => 101010100 => 4
[7,5,4,3,10,2,8,1,6,9] => 111010100 => 3
[7,6,5,4,3,2,10,1,8,9] => 111110100 => 2
[5,3,4,7,2,1,6,8] => 1001100 => 2
[7,6,9,5,4,3,2,1,8] => 10111110 => 2
[4,8,5,7,1,2,3,6] => 0101000 => 2
[4,2,3,7,6,1,8,5] => 1001101 => 2
[4,2,6,3,1,5,7,8] => 1011000 => 2
[2,1,8,7,4,3,6,5,10,9] => 101110101 => 3
[4,6,3,2,5,8,7,1] => 0110011 => 1
[5,8,4,3,2,6,1,7] => 0111010 => 2
[1,5,7,4,8,6,2,3] => 0010110 => 2
[6,1,5,7,3,8,2,4] => 1001010 => 3
[1,2,7,8,6,4,3,5] => 0001110 => 1
[3,5,1,7,8,6,2,4] => 0100110 => 2
[5,2,4,1,7,6,8,3] => 1010101 => 3
[2,1,4,3,6,5,7,9,10,8] => 101010001 => 3
[2,1,4,3,5,7,8,6,10,9] => 101000101 => 3
[2,1,4,3,5,7,6,9,10,8] => 101001001 => 3
[2,1,4,3,5,6,8,9,10,7] => 101000001 => 2
[2,1,3,5,6,4,8,7,10,9] => 100010101 => 3
[2,1,3,5,6,4,7,9,10,8] => 100010001 => 2
[2,1,3,5,4,7,8,6,10,9] => 100100101 => 3
[2,1,3,5,4,7,6,9,10,8] => 100101001 => 3
[2,1,3,5,4,6,8,9,10,7] => 100100001 => 2
[2,1,3,4,6,7,8,5,10,9] => 100000101 => 2
[2,1,3,4,6,7,5,9,10,8] => 100001001 => 2
[2,1,3,4,6,5,8,9,10,7] => 100010001 => 2
[2,1,3,4,5,7,8,9,10,6] => 100000001 => 1
[1,3,4,2,6,5,7,9,10,8] => 001010001 => 2
[1,3,4,2,5,7,8,6,10,9] => 001000101 => 2
[1,3,4,2,5,7,6,9,10,8] => 001001001 => 2
[1,3,4,2,5,6,8,9,10,7] => 001000001 => 1
[1,3,2,5,6,4,8,7,10,9] => 010010101 => 3
[1,3,2,5,6,4,7,9,10,8] => 010010001 => 2
[1,3,2,5,4,7,8,6,10,9] => 010100101 => 3
[1,3,2,5,4,7,6,9,10,8] => 010101001 => 3
[1,3,2,5,4,6,8,9,10,7] => 010100001 => 2
[1,3,2,4,6,7,8,5,10,9] => 010000101 => 2
[1,3,2,4,6,7,5,9,10,8] => 010001001 => 2
[1,3,2,4,6,5,8,9,10,7] => 010010001 => 2
[1,3,2,4,5,7,8,9,10,6] => 010000001 => 1
[1,2,4,5,6,3,8,7,10,9] => 000010101 => 2
[1,2,4,5,6,3,7,9,10,8] => 000010001 => 1
[1,2,4,5,3,7,8,6,10,9] => 000100101 => 2
[1,2,4,5,3,7,6,9,10,8] => 000101001 => 2
[1,2,4,5,3,6,8,9,10,7] => 000100001 => 1
[1,2,4,3,6,7,8,5,10,9] => 001000101 => 2
[1,2,4,3,6,7,5,9,10,8] => 001001001 => 2
[1,2,4,3,6,5,8,9,10,7] => 001010001 => 2
[1,2,4,3,5,7,8,9,10,6] => 001000001 => 1
[1,2,3,5,6,7,8,4,10,9] => 000000101 => 1
[1,2,3,5,6,7,4,9,10,8] => 000001001 => 1
[1,2,3,5,6,4,8,9,10,7] => 000010001 => 1
[1,2,3,5,4,7,8,9,10,6] => 000100001 => 1
[2,1,4,3,6,5,7,9,8,11,12,10] => 10101001001 => 4
[2,1,4,3,5,7,8,6,9,11,12,10] => 10100010001 => 3
[2,1,4,3,5,7,6,9,10,8,12,11] => 10100100101 => 4
[2,1,4,3,5,7,6,9,8,11,12,10] => 10100101001 => 4
[2,1,4,3,5,6,8,7,10,11,12,9] => 10100010001 => 3
[2,1,3,5,6,4,8,7,9,11,12,10] => 10001010001 => 3
[2,1,3,5,6,4,7,9,10,8,12,11] => 10001000101 => 3
[2,1,3,5,6,4,7,9,8,11,12,10] => 10001001001 => 3
[2,1,3,5,4,7,8,6,10,9,12,11] => 10010010101 => 4
[2,1,3,5,4,7,8,6,9,11,12,10] => 10010010001 => 3
[2,1,3,5,4,7,6,9,10,8,12,11] => 10010100101 => 4
[2,1,3,5,4,7,6,9,8,11,12,10] => 10010101001 => 4
[2,1,3,5,4,6,8,9,7,11,12,10] => 10010001001 => 3
[2,1,3,5,4,6,8,7,10,11,12,9] => 10010010001 => 3
[2,1,3,4,6,7,5,8,10,11,12,9] => 10000100001 => 2
[2,1,3,4,6,5,8,9,10,7,12,11] => 10001000101 => 3
[2,1,3,4,6,5,8,9,7,11,12,10] => 10001001001 => 3
[2,1,3,4,6,5,8,7,10,11,12,9] => 10001010001 => 3
[2,1,3,4,5,7,6,9,10,11,12,8] => 10000100001 => 2
[1,3,4,2,6,5,8,7,9,11,12,10] => 00101010001 => 3
[1,3,4,2,6,5,7,9,10,8,12,11] => 00101000101 => 3
[1,3,4,2,6,5,7,9,8,11,12,10] => 00101001001 => 3
[1,3,4,2,5,7,8,6,10,9,12,11] => 00100010101 => 3
[1,3,4,2,5,7,8,6,9,11,12,10] => 00100010001 => 2
[1,3,4,2,5,7,6,9,10,8,12,11] => 00100100101 => 3
[1,3,4,2,5,7,6,9,8,11,12,10] => 00100101001 => 3
[1,3,4,2,5,7,6,8,10,11,12,9] => 00100100001 => 2
[1,3,4,2,5,6,8,9,7,11,12,10] => 00100001001 => 2
[1,3,4,2,5,6,8,7,10,11,12,9] => 00100010001 => 2
[1,3,2,5,6,4,8,7,10,9,12,11] => 01001010101 => 4
[1,3,2,5,6,4,8,7,9,11,12,10] => 01001010001 => 3
[1,3,2,5,6,4,7,9,10,8,12,11] => 01001000101 => 3
[1,3,2,5,6,4,7,9,8,11,12,10] => 01001001001 => 3
[1,3,2,5,4,7,8,6,10,9,12,11] => 01010010101 => 4
[1,3,2,5,4,7,8,6,9,11,12,10] => 01010010001 => 3
[1,3,2,5,4,7,6,9,10,8,12,11] => 01010100101 => 4
[1,3,2,5,4,7,6,9,8,11,12,10] => 01010101001 => 4
[1,3,2,5,4,6,8,9,7,11,12,10] => 01010001001 => 3
[1,3,2,5,4,6,8,7,10,11,12,9] => 01010010001 => 3
[1,3,2,4,6,7,8,5,9,11,12,10] => 01000010001 => 2
[1,3,2,4,6,7,5,9,10,8,12,11] => 01000100101 => 3
[1,3,2,4,6,7,5,9,8,11,12,10] => 01000101001 => 3
[1,3,2,4,6,7,5,8,10,11,12,9] => 01000100001 => 2
[1,3,2,4,6,5,8,9,10,7,12,11] => 01001000101 => 3
[1,3,2,4,6,5,8,9,7,11,12,10] => 01001001001 => 3
[1,3,2,4,6,5,8,7,10,11,12,9] => 01001010001 => 3
[1,3,2,4,5,7,8,6,10,11,12,9] => 01000010001 => 2
[1,3,2,4,5,7,6,9,10,11,12,8] => 01000100001 => 2
[1,3,2,4,5,6,8,9,10,11,12,7] => 01000000001 => 1
[1,2,4,5,6,3,7,8,10,11,12,9] => 00001000001 => 1
[1,2,4,5,3,7,8,6,9,11,12,10] => 00010010001 => 2
[1,2,4,5,3,7,6,8,10,11,12,9] => 00010100001 => 2
[1,2,4,5,3,6,8,9,10,7,12,11] => 00010000101 => 2
[1,2,4,5,3,6,8,9,7,11,12,10] => 00010001001 => 2
[1,2,4,5,3,6,8,7,10,11,12,9] => 00010010001 => 2
[1,2,4,3,6,7,8,5,10,9,12,11] => 00100010101 => 3
[1,2,4,3,6,7,8,5,9,11,12,10] => 00100010001 => 2
[1,2,4,3,6,7,5,9,10,8,12,11] => 00100100101 => 3
[1,2,4,3,6,7,5,9,8,11,12,10] => 00100101001 => 3
[1,2,4,3,6,7,5,8,10,11,12,9] => 00100100001 => 2
[1,2,4,3,6,5,8,9,10,7,12,11] => 00101000101 => 3
[1,2,4,3,6,5,8,9,7,11,12,10] => 00101001001 => 3
[1,2,4,3,6,5,8,7,10,11,12,9] => 00101010001 => 3
[1,2,4,3,5,7,8,9,6,11,12,10] => 00100001001 => 2
[1,2,4,3,5,7,8,6,10,11,12,9] => 00100010001 => 2
[1,2,4,3,5,7,6,9,10,11,12,8] => 00100100001 => 2
[1,2,3,5,6,4,7,9,10,11,12,8] => 00001000001 => 1
[1,2,3,5,4,7,8,9,10,6,12,11] => 00010000101 => 2
[1,2,3,5,4,7,8,9,6,11,12,10] => 00010001001 => 2
[1,2,3,5,4,7,8,6,10,11,12,9] => 00010010001 => 2
[1,2,3,5,4,7,6,9,10,11,12,8] => 00010100001 => 2
[1,2,3,4,6,7,8,9,10,5,12,11] => 00000000101 => 1
[1,2,3,4,6,5,8,9,10,11,12,7] => 00001000001 => 1
[1,2,3,4,5,7,8,9,10,11,12,6] => 00000000001 => 0
[2,3,4,9,6,7,8,5,1] => 00010011 => 1
[2,3,9,5,6,7,8,4,1] => 00100011 => 1
[2,9,4,5,6,7,8,3,1] => 01000011 => 1
[9,3,4,5,6,7,8,2,1] => 10000011 => 1
[2,3,4,5,6,10,8,9,7,1] => 000001011 => 1
[2,3,4,1,9,7,8,6,5] => 00101011 => 2
[2,3,4,5,10,7,8,9,6,1] => 000010011 => 1
[2,3,1,9,6,7,8,5,4] => 01010011 => 2
[2,3,4,10,6,7,8,9,5,1] => 000100011 => 1
[2,1,9,5,6,7,8,4,3] => 10100011 => 2
[2,3,10,5,6,7,8,9,4,1] => 001000011 => 1
[1,9,4,5,6,7,8,3,2] => 01000011 => 1
[2,10,4,5,6,7,8,9,3,1] => 010000011 => 1
[10,3,4,5,6,7,8,9,2,1] => 100000011 => 1
[5,6,4,7,3,9,1,8,2] => 01010101 => 3
[5,6,4,9,1,8,2,7,3] => 01010101 => 3
[5,9,1,8,2,7,3,6,4] => 01010101 => 3
[9,1,8,2,7,3,6,4,5] => 10101010 => 4
[5,4,3,8,1,7,2,6] => 1101010 => 3
[5,4,9,1,8,2,7,3,6] => 10101010 => 4
[5,4,6,3,9,1,8,2,7] => 10101010 => 4
[5,4,6,3,7,2,9,1,8] => 10101010 => 4
[6,5,7,4,8,3,10,1,9,2] => 101010101 => 4
[5,6,4,8,2,9,1,7,3] => 01010101 => 3
[6,5,7,4,10,1,9,2,8,3] => 101010101 => 4
[5,7,3,9,1,8,2,6,4] => 01010101 => 3
[6,5,10,1,9,2,8,3,7,4] => 101010101 => 4
[6,4,9,1,8,2,7,3,5] => 10101010 => 4
[4,5,9,1,8,2,7,3,6] => 00101010 => 3
[5,10,1,9,2,8,3,7,4,6] => 010101010 => 4
[6,4,5,3,9,1,8,2,7] => 10101010 => 4
[5,6,4,10,1,9,2,8,3,7] => 010101010 => 4
[5,4,7,3,6,2,9,1,8] => 10101010 => 4
[5,6,4,7,3,10,1,9,2,8] => 010101010 => 4
[5,6,4,7,3,8,2,10,1,9] => 010101010 => 4
[7,3,1,5,6,8,4,2] => 1100011 => 1
[2,10,1,3,4,5,6,9,7,8] => 010000010 => 2
[2,9,1,3,4,5,6,7,10,8] => 010000001 => 1
[12,1,2,3,4,5,6,7,8,11,9,10] => 10000000010 => 2
[2,11,1,3,4,5,6,7,10,8,9] => 0100000010 => 2
[10,3,1,2,4,5,6,9,7,8] => 110000010 => 2
[3,1,10,2,4,5,6,9,7,8] => 101000010 => 3
[9,3,1,2,4,5,6,7,10,8] => 110000001 => 1
[3,1,9,2,4,5,6,7,10,8] => 101000001 => 2
[2,10,1,3,4,5,6,7,8,11,9] => 0100000001 => 1
[7,2,3,1,6,8,4,5] => 1010010 => 3
[4,1,8,2,5,6,3,7] => 1010010 => 3
[5,7,8,1,6,2,3,4] => 0010100 => 2
[1,6,4,2,7,3,8,5] => 0110101 => 2
[1,4,2,5,8,6,3,7] => 0100110 => 2
[4,3,2,1,8,9,7,6,5] => 11100111 => 1
[4,8,2,1,5,7,3,6] => 0110010 => 2
[5,2,7,1,6,3,4,8] => 1010100 => 3
[4,8,2,5,1,6,3,7] => 0101010 => 3
[5,8,1,2,4,6,3,7] => 0100010 => 2
[5,1,7,3,6,4,2,8] => 1010110 => 3
[3,2,7,5,6,1,4,8] => 1010100 => 3
[3,2,7,1,6,4,5,8] => 1010100 => 3
[6,3,1,7,5,4,2,8] => 1101110 => 2
[9,8,3,4,5,6,7,1,2] => 11000010 => 2
[9,8,2,3,4,5,6,1,7] => 11000010 => 2
[6,2,8,7,3,4,5,1] => 1011001 => 2
[9,4,5,6,7,8,2,1,3] => 10000110 => 2
[9,3,4,5,6,7,2,1,8] => 10000110 => 2
[10,9,3,4,5,6,7,8,1,2] => 110000010 => 2
[10,9,2,3,4,5,6,7,1,8] => 110000010 => 2
[7,2,9,8,3,4,5,6,1] => 10110001 => 2
[9,8,2,3,4,5,1,6,7] => 11000100 => 2
[7,3,4,8,5,6,2,1] => 1001011 => 2
[9,5,6,7,8,2,1,3,4] => 10001100 => 2
[7,3,6,8,4,5,2,1] => 1001011 => 2
[8,3,9,4,5,6,7,2,1] => 10100011 => 2
[10,4,5,6,7,8,9,2,1,3] => 100000110 => 2
[9,3,4,5,6,2,1,7,8] => 10001100 => 2
[10,3,4,5,6,7,8,2,1,9] => 100000110 => 2
[5,6,2,8,3,1,7,4] => 0101101 => 2
[1,4,7,5,6,2,8,3] => 0010101 => 2
[1,7,4,8,3,5,6,2] => 0101001 => 2
[5,3,1,4,8,6,2,7] => 1100110 => 2
[5,2,4,8,3,1,6,7] => 1001100 => 2
[7,4,5,1,8,6,2,3] => 1010110 => 3
[8,1,5,7,6,3,2,4] => 1001110 => 2
[1,8,6,7,5,3,2,4] => 0101110 => 2
[7,4,8,3,1,6,5,2] => 1011011 => 2
[8,1,5,3,7,6,2,4] => 1010110 => 3
[6,4,8,7,3,5,1,2] => 1011010 => 3
[6,1,4,2,3,5,7,8] => 1010000 => 2
[7,1,4,3,8,6,5,2] => 1010111 => 2
[6,1,5,7,2,8,3,4] => 1001010 => 3
[1,8,2,6,7,4,3,5] => 0100110 => 2
[1,6,2,7,3,8,4,9,5] => 01010101 => 3
[1,8,5,2,9,6,3,10,7,4] => 011011011 => 2
[7,2,4,1,8,5,3,6] => 1010110 => 3
[4,7,2,6,1,8,3,5] => 0101010 => 3
[8,7,3,5,2,1,6,4] => 1101101 => 2
[7,5,3,2,1,6,8,4] => 1111001 => 1
[6,8,1,3,4,2,5,7] => 0100100 => 2
[3,6,1,4,7,8,2,5] => 0100010 => 2
[2,5,7,1,3,6,4,8] => 0010010 => 2
[1,4,7,2,5,3,6,8] => 0010100 => 2
[4,5,3,1,2,6,8,7] => 0110001 => 1
[4,5,1,3,8,2,6,7] => 0100100 => 2
[4,1,5,3,2,7,6,8] => 1011010 => 3
[7,3,5,1,4,2,6,8] => 1010100 => 3
[6,2,1,7,4,3,8,5] => 1101101 => 2
[2,4,3,6,7,1,5,8] => 0100100 => 2
[7,3,5,2,1,6,4,8] => 1011010 => 3
[4,6,5,2,1,3,7,8] => 0111000 => 1
[2,5,6,1,4,3,7,8] => 0010100 => 2
[6,1,5,3,7,2,4,8] => 1010100 => 3
[3,6,5,4,1,7,2,8] => 0111010 => 2
[10,9,3,8,7,6,5,4,2,1] => 110111111 => 1
[8,7,6,4,5,3,2,1,10,9] => 111011101 => 2
[10,9,8,6,5,4,7,3,2,1] => 111110111 => 1
[9,11,1,2,3,4,5,6,7,8,10] => 0100000000 => 1
[6,7,1,9,2,3,4,5,8] => 01010000 => 2
[6,1,8,9,2,3,4,5,7] => 10010000 => 2
[8,1,9,10,2,3,4,5,6,7] => 100100000 => 2
[6,8,7,5,4,2,1,3] => 0111110 => 1
[1,6,8,7,3,2,4,5] => 0011100 => 1
[8,7,5,4,6,1,3,2] => 1110101 => 2
[1,7,8,2,4,6,3,5] => 0010010 => 2
[7,5,4,8,1,3,6,2] => 1101001 => 2
[5,6,1,8,4,3,7,2] => 0101101 => 2
[1,8,2,6,7,5,4,3] => 0100111 => 1
[2,7,5,1,6,8,3,4] => 0110010 => 2
[8,5,4,2,7,3,6,1] => 1110101 => 2
[3,8,6,1,2,4,5,7] => 0110000 => 1
[1,8,5,3,2,7,4,6] => 0111010 => 2
[1,8,4,7,2,3,5,6] => 0101000 => 2
[3,2,8,1,7,5,4,6] => 1010110 => 3
[3,4,5,6,2,1,7,8,9] => 00011000 => 1
[3,4,5,2,1,6,7,8,9] => 00110000 => 1
[7,1,5,6,2,3,4,8] => 1001000 => 2
[6,5,1,7,2,3,4,8] => 1101000 => 2
[1,6,8,2,7,3,4,5] => 0010100 => 2
[1,6,8,7,3,4,2,5] => 0011010 => 2
[4,1,3,6,7,8,5,2] => 1000011 => 1
[7,4,1,5,6,8,3,2] => 1100011 => 1
[4,1,2,6,7,8,5,3] => 1000011 => 1
[3,4,5,8,9,1,2,6,7] => 00001000 => 1
[3,4,7,8,9,1,2,5,6] => 00001000 => 1
[3,6,7,8,9,1,2,4,5] => 00001000 => 1
[3,4,5,6,1,7,2,8,9] => 00010100 => 2
[3,4,5,1,6,2,7,8,9] => 00101000 => 2
[3,4,5,6,7,10,1,2,8,9] => 000001000 => 1
[3,4,1,5,9,2,6,7,8] => 01001000 => 2
[3,4,5,6,9,10,1,2,7,8] => 000001000 => 1
[3,4,5,8,9,10,1,2,6,7] => 000001000 => 1
[1,3,7,8,9,2,4,5,6] => 00001000 => 1
[3,4,7,8,9,10,1,2,5,6] => 000001000 => 1
[2,6,7,8,9,1,3,4,5] => 00001000 => 1
[3,6,7,8,9,10,1,2,4,5] => 000001000 => 1
[6,3,7,1,8,2,4,5] => 1010100 => 3
[3,7,8,1,5,2,6,4] => 0010101 => 2
[2,1,4,3,6,5,10,7,9,8] => 101010101 => 4
[2,1,4,3,8,5,7,6,10,9] => 101010101 => 4
[2,1,4,3,10,9,7,5,6,8] => 101011100 => 3
[2,1,4,3,10,5,6,8,9,7] => 101010001 => 3
[2,1,6,3,5,4,8,7,10,9] => 101010101 => 4
[2,1,6,3,5,4,10,7,9,8] => 101010101 => 4
[2,1,8,7,5,3,4,6,10,9] => 101110001 => 2
[2,1,10,7,5,9,4,3,6,8] => 101101100 => 3
[2,1,10,8,5,3,6,4,9,7] => 101110101 => 3
[2,1,8,3,4,6,7,5,10,9] => 101000101 => 3
[2,1,10,9,4,6,7,3,5,8] => 101100100 => 3
[2,1,10,3,9,6,4,8,5,7] => 101011010 => 4
[2,1,10,3,4,5,7,8,9,6] => 101000001 => 2
[4,1,3,2,6,5,8,7,10,9] => 101010101 => 4
[4,1,3,2,6,5,10,7,9,8] => 101010101 => 4
[4,1,3,2,8,5,7,6,10,9] => 101010101 => 4
[4,1,3,2,10,9,7,5,6,8] => 101011100 => 3
[4,1,3,2,10,5,6,8,9,7] => 101010001 => 3
[6,5,3,1,2,4,10,7,9,8] => 111000101 => 2
[8,5,3,7,2,1,4,6,10,9] => 110110001 => 2
[10,5,3,7,2,9,4,1,6,8] => 110101100 => 3
[10,5,3,8,2,1,6,4,9,7] => 110110101 => 3
[8,6,3,1,4,2,7,5,10,9] => 111010101 => 3
[10,6,3,9,4,2,7,1,5,8] => 110110100 => 3
[10,6,3,1,9,2,4,8,5,7] => 111010010 => 3
[10,7,3,1,4,5,2,8,9,6] => 111001001 => 2
[6,1,2,4,5,3,8,7,10,9] => 100010101 => 3
[6,1,2,4,5,3,10,7,9,8] => 100010101 => 3
[8,7,2,4,5,1,3,6,10,9] => 110010001 => 2
[10,7,2,4,5,9,3,1,6,8] => 110001100 => 2
[10,8,2,4,5,1,6,3,9,7] => 110010101 => 3
[8,1,7,4,2,6,3,5,10,9] => 101101001 => 3
[10,9,7,4,2,6,3,1,5,8] => 111101100 => 2
[10,1,8,4,9,6,2,3,5,7] => 101011000 => 3
[10,1,8,4,2,5,7,3,9,6] => 101100101 => 3
[8,1,2,3,5,6,7,4,10,9] => 100000101 => 2
[10,9,2,3,5,6,7,1,4,8] => 110000100 => 2
[10,1,9,3,5,6,2,8,4,7] => 101001010 => 4
[10,1,2,9,5,3,7,8,4,6] => 100110010 => 3
[2,1,4,3,6,5,8,7,12,9,11,10] => 10101010101 => 5
[2,1,4,3,6,5,10,7,9,8,12,11] => 10101010101 => 5
[2,1,4,3,8,5,7,6,10,9,12,11] => 10101010101 => 5
[2,1,4,3,8,5,7,6,12,9,11,10] => 10101010101 => 5
[2,1,6,3,5,4,8,7,10,9,12,11] => 10101010101 => 5
[2,1,6,3,5,4,8,7,12,9,11,10] => 10101010101 => 5
[2,1,6,3,5,4,10,7,9,8,12,11] => 10101010101 => 5
[2,1,12,3,11,5,7,8,4,10,6,9] => 10101001010 => 5
[4,1,3,2,6,5,8,7,10,9,12,11] => 10101010101 => 5
[4,1,3,2,6,5,8,7,12,9,11,10] => 10101010101 => 5
[4,1,3,2,6,5,10,7,9,8,12,11] => 10101010101 => 5
[4,1,3,2,8,5,7,6,10,9,12,11] => 10101010101 => 5
[4,1,3,2,8,5,7,6,12,9,11,10] => 10101010101 => 5
[6,1,2,4,5,3,12,7,8,10,11,9] => 10001010001 => 3
[10,1,9,3,5,6,2,8,4,7,12,11] => 10100101001 => 4
[12,1,10,3,5,6,2,7,9,4,11,8] => 10100100101 => 4
[12,1,2,11,4,6,7,3,9,10,5,8] => 10010010010 => 4
[1,5,4,7,8,3,6,2] => 0100101 => 2
[5,1,4,7,8,3,6,2] => 1000101 => 2
[4,8,1,5,6,2,3,7] => 0100100 => 2
[5,6,4,1,7,3,8,2] => 0110101 => 2
[4,3,7,8,2,5,1,6] => 1001010 => 3
[3,7,8,5,4,2,1,6] => 0011110 => 1
[1,7,4,5,6,8,3,2] => 0100011 => 1
[7,2,4,5,6,8,3,1] => 1000011 => 1
[2,7,4,5,6,8,3,1] => 0100011 => 1
[2,4,7,8,3,1,6,5] => 0001101 => 1
[5,4,3,6,8,1,7,2] => 1100101 => 2
[3,7,4,5,8,1,6,2] => 0100101 => 2
[1,4,3,5,6,8,2,7] => 0100010 => 2
[1,4,6,5,8,2,7,3] => 0010101 => 2
[4,6,1,7,3,2,8,5] => 0101101 => 2
[1,7,3,6,4,2,8,5] => 0101101 => 2
[4,7,3,5,1,2,8,6] => 0101001 => 2
[1,6,4,2,3,5,8,7] => 0110001 => 1
[4,8,3,5,2,1,6,7] => 0101100 => 2
[10,9,7,6,5,4,3,8,2,1] => 111111011 => 1
[1,6,8,4,7,5,3,2] => 0010111 => 1
[8,7,3,1,5,2,6,4] => 1110101 => 2
[4,7,1,6,8,2,3,5] => 0100100 => 2
[4,6,5,8,2,3,7,1] => 0101001 => 2
[7,1,8,2,4,5,3,6] => 1010010 => 3
[5,7,8,2,3,4,1,6] => 0010010 => 2
[5,2,3,8,7,1,4,6] => 1001100 => 2
[8,7,1,3,2,6,4,5] => 1101010 => 3
[2,7,6,4,8,3,1,5] => 0110110 => 2
[2,6,3,7,5,8,4,1] => 0101011 => 2
[7,5,1,2,3,8,4,6] => 1100010 => 2
[4,3,5,2,6,1,7,8,9] => 10101000 => 3
[4,5,3,6,2,7,1,8,9] => 01010100 => 3
[3,2,4,1,5,6,7,8,9,10] => 101000000 => 2
[3,4,2,5,1,6,7,8,9,10] => 010100000 => 2
[4,3,5,2,6,1,7,8,9,10] => 101010000 => 3
[4,5,3,6,2,7,1,8,9,10] => 010101000 => 3
[5,4,6,3,7,2,8,1,9,10] => 101010100 => 4
[8,6,2,1,3,7,4,5] => 1110010 => 2
[4,2,3,6,8,5,7,1] => 1000101 => 2
[4,7,3,2,6,5,1,8] => 0110110 => 2
[4,3,7,8,2,1,6,5] => 1001101 => 2
[4,8,7,2,1,5,6,3] => 0111001 => 1
[7,3,8,2,5,1,6,4] => 1010101 => 3
[4,5,3,8,6,1,2,7] => 0101100 => 2
[6,3,5,8,4,1,2,7] => 1001100 => 2
[7,3,8,4,5,1,2,6] => 1010100 => 3
[4,8,7,5,1,2,6,3] => 0111001 => 1
[7,8,4,6,1,3,5,2] => 0101001 => 2
[4,8,7,5,1,3,6,2] => 0111001 => 1
[4,5,3,6,8,1,2,7] => 0100100 => 2
[7,8,6,2,1,4,3,5] => 0111010 => 2
[7,8,6,3,1,2,5,4] => 0111001 => 1
[3,7,6,4,1,5,2,8] => 0111010 => 2
[5,2,8,4,7,1,3,6] => 1010100 => 3
[7,3,1,2,8,6,5,4] => 1100111 => 1
[8,7,1,3,2,4,5,6] => 1101000 => 2
[4,1,3,6,5,7,2,8] => 1001010 => 3
[4,1,3,5,7,2,8,6] => 1000101 => 2
[5,1,8,2,4,6,3,7] => 1010010 => 3
[6,8,2,1,4,5,3,7] => 0110010 => 2
[4,2,7,3,6,8,5,1] => 1010011 => 2
[3,1,5,8,6,7,2,4] => 1001010 => 3
[6,8,2,1,4,5,7,3] => 0110001 => 1
[2,1,4,3,6,5,10,7,8,9] => 101010100 => 4
[2,1,4,3,8,5,6,7,10,9] => 101010001 => 3
[2,1,4,3,10,9,6,5,8,7] => 101011101 => 3
[2,1,4,3,10,5,6,7,8,9] => 101010000 => 3
[2,1,6,3,4,5,8,7,10,9] => 101000101 => 3
[2,1,6,3,4,5,10,7,8,9] => 101000100 => 3
[2,1,10,7,4,9,6,3,8,5] => 101101101 => 3
[2,1,10,9,4,3,6,7,8,5] => 101110001 => 2
[2,1,8,3,4,5,6,7,10,9] => 101000001 => 2
[2,1,10,9,4,5,6,3,8,7] => 101100101 => 3
[2,1,10,3,8,5,4,7,6,9] => 101011010 => 4
[4,1,2,3,6,5,10,7,8,9] => 100010100 => 3
[4,1,2,3,8,5,6,7,10,9] => 100010001 => 2
[4,1,2,3,10,9,6,5,8,7] => 100011101 => 2
[6,5,2,1,4,3,8,7,10,9] => 111010101 => 3
[6,5,2,1,4,3,10,7,8,9] => 111010100 => 3
[8,5,2,7,4,1,6,3,10,9] => 110110101 => 3
[10,5,2,7,4,9,6,1,8,3] => 110101101 => 3
[10,5,2,9,4,1,6,7,8,3] => 110110001 => 2
[8,7,2,1,4,5,6,3,10,9] => 111000101 => 2
[10,7,2,9,4,5,6,1,8,3] => 110100101 => 3
[10,9,2,1,8,5,4,7,6,3] => 111011011 => 2
[10,9,2,1,4,5,6,7,8,3] => 111000001 => 1
[6,1,2,3,4,5,8,7,10,9] => 100000101 => 2
[8,7,2,3,4,1,6,5,10,9] => 110010101 => 3
[10,7,2,3,4,9,6,1,8,5] => 110001101 => 2
[10,9,2,3,4,1,6,7,8,5] => 110010001 => 2
[8,1,6,3,2,5,4,7,10,9] => 101101001 => 3
[10,9,6,3,2,5,4,1,8,7] => 111101101 => 2
[10,1,6,3,8,5,2,7,4,9] => 101011010 => 4
[10,1,8,3,2,5,6,7,4,9] => 101100010 => 3
[10,9,2,3,4,5,6,1,8,7] => 110000101 => 2
[10,1,8,3,4,5,2,7,6,9] => 101001010 => 4
[10,1,2,7,4,3,6,5,8,9] => 100110100 => 3
[2,1,4,3,8,5,6,7,12,9,10,11] => 10101000100 => 4
[2,1,6,3,4,5,8,7,12,9,10,11] => 10100010100 => 4
[2,1,6,3,4,5,10,7,8,9,12,11] => 10100010001 => 3
[2,1,12,3,10,5,6,7,4,9,8,11] => 10101001010 => 5
[4,1,2,3,6,5,8,7,12,9,10,11] => 10001010100 => 4
[4,1,2,3,6,5,10,7,8,9,12,11] => 10001010001 => 3
[4,1,2,3,8,5,6,7,10,9,12,11] => 10001000101 => 3
[4,1,2,3,8,5,6,7,12,9,10,11] => 10001000100 => 3
[6,1,2,3,4,5,12,7,8,9,10,11] => 10000010000 => 2
[12,1,8,3,10,5,6,7,2,9,4,11] => 10101001010 => 5
[8,1,2,3,4,5,6,7,12,9,10,11] => 10000000100 => 2
[10,1,8,3,4,5,2,7,6,9,12,11] => 10100101001 => 4
[12,1,10,3,4,5,2,7,8,9,6,11] => 10100100010 => 4
[12,1,2,9,4,5,6,3,8,7,10,11] => 10010010100 => 4
[12,1,2,3,4,5,6,7,8,9,10,11] => 10000000000 => 1
[1,5,4,8,7,3,2,6] => 0101110 => 2
[4,3,1,2,6,5,7,8] => 1100100 => 2
[7,1,4,5,8,3,6,2] => 1000101 => 2
[7,5,8,1,2,4,6,3] => 1010001 => 2
[6,1,5,2,8,7,4,3] => 1010111 => 2
[8,4,6,3,1,2,7,5] => 1011001 => 2
[3,8,6,4,1,5,7,2] => 0111001 => 1
[8,7,1,4,5,2,3,6] => 1100100 => 2
[3,8,6,4,5,1,7,2] => 0110101 => 2
[3,7,6,4,5,1,2,8] => 0110100 => 2
[7,4,6,3,1,2,8,5] => 1011001 => 2
[4,6,2,5,7,8,1,3] => 0100010 => 2
[4,6,3,5,7,1,2,8] => 0100100 => 2
[4,7,3,5,8,6,1,2] => 0100110 => 2
[4,8,3,5,7,1,6,2] => 0100101 => 2
[4,8,3,5,6,1,2,7] => 0100100 => 2
[4,7,2,5,6,8,1,3] => 0100010 => 2
[4,8,2,5,6,7,1,3] => 0100010 => 2
[1,4,7,2,6,5,8,3] => 0010101 => 2
[1,5,7,2,6,4,8,3] => 0010101 => 2
[7,2,4,6,1,8,3,5] => 1001010 => 3
[1,2,7,8,3,5,4,6] => 0001010 => 2
[1,7,6,2,8,5,4,3] => 0110111 => 1
[1,2,7,8,3,4,6,5] => 0001001 => 1
[1,7,6,8,3,4,2,5] => 0101010 => 3
[3,4,1,7,8,6,5,2] => 0100111 => 1
[2,4,8,6,5,7,1,3] => 0011010 => 2
[5,1,3,4,8,2,7,6] => 1000101 => 2
[8,7,3,6,1,4,2,5] => 1101010 => 3
[6,5,1,8,3,4,7,2] => 1101001 => 2
[8,2,1,5,6,4,7,3] => 1100101 => 2
[7,5,6,1,3,4,8,2] => 1010001 => 2
[5,7,2,4,6,1,8,3] => 0100101 => 2
[2,1,5,6,3,8,7,4] => 1001011 => 2
[3,2,7,5,8,6,4,1] => 1010111 => 2
[2,4,5,3,8,1,7,6] => 0010101 => 2
[7,2,5,4,3,8,6,1] => 1011011 => 2
[8,5,3,1,2,6,7,4] => 1110001 => 1
[7,2,5,1,3,6,8,4] => 1010001 => 2
[8,4,7,3,1,2,6,5] => 1011001 => 2
[1,8,7,3,5,2,6,4] => 0110101 => 2
[2,4,8,3,6,5,7,1] => 0010101 => 2
[3,1,8,2,6,5,7,4] => 1010101 => 3
[4,6,7,8,5,2,1,3] => 0001110 => 1
[4,7,2,1,8,6,5,3] => 0110111 => 1
[5,6,2,8,4,1,7,3] => 0101101 => 2
[5,7,2,4,8,6,1,3] => 0100110 => 2
[6,7,2,4,8,5,1,3] => 0100110 => 2
[6,7,3,2,8,5,1,4] => 0110110 => 2
[7,2,3,1,8,6,5,4] => 1010111 => 2
[7,2,8,3,5,6,1,4] => 1010010 => 3
[7,2,3,8,4,6,1,5] => 1001010 => 3
[1,7,3,4,8,5,2,6] => 0100110 => 2
[1,7,3,8,5,4,2,6] => 0101110 => 2
[7,2,8,4,5,3,1,6] => 1010110 => 3
[2,8,6,4,3,1,7,5] => 0111101 => 1
[1,7,3,4,8,2,5,6] => 0100100 => 2
[1,5,8,3,4,6,2,7] => 0010010 => 2
[1,3,8,4,2,5,7,6] => 0011001 => 1
[1,4,7,6,2,3,8,5] => 0011001 => 1
[1,8,4,6,7,2,3,5] => 0100100 => 2
[1,4,2,3,7,8,6,5] => 0100011 => 1
[5,7,1,6,4,8,3,2] => 0101011 => 2
[1,2,9,7,5,3,10,8,6,4] => 001110111 => 1
[7,4,5,8,1,3,6,2] => 1001001 => 2
[1,4,3,6,2,5,8,7] => 0101001 => 2
[1,4,6,3,2,5,8,7] => 0011001 => 1
[1,3,6,5,8,2,4,7] => 0010100 => 2
[1,4,6,3,2,8,5,7] => 0011010 => 2
[6,8,4,1,5,7,2,3] => 0110010 => 2
[5,2,6,7,4,1,8,3] => 1001101 => 2
[8,5,6,4,1,7,3,2] => 1011011 => 2
[7,8,3,1,6,4,5,2] => 0110101 => 2
[5,8,2,6,3,1,7,4] => 0101101 => 2
[4,5,8,1,6,3,7,2] => 0010101 => 2
[8,1,4,6,2,5,7,3] => 1001001 => 2
[4,5,8,1,6,2,7,3] => 0010101 => 2
[5,2,6,8,1,4,3,7] => 1001010 => 3
[6,7,3,8,2,1,4,5] => 0101100 => 2
[2,4,1,5,6,7,8,10,3,9] => 010000010 => 2
[2,7,3,5,4,1,8,6] => 0101101 => 2
[2,6,3,7,4,1,8,5] => 0101101 => 2
[2,1,4,8,5,3,7,6] => 1001101 => 2
[2,7,3,8,4,1,6,5] => 0101101 => 2
[2,6,3,1,5,4,8,7] => 0110101 => 2
[1,5,8,3,4,7,2,6] => 0010010 => 2
[5,3,8,1,4,6,2,7] => 1010010 => 3
[4,5,8,1,3,6,2,7] => 0010010 => 2
[7,4,6,5,2,8,3,1] => 1011011 => 2
[4,1,3,8,5,7,6,2] => 1001011 => 2
[4,1,3,7,2,8,6,5] => 1001011 => 2
[4,6,3,1,7,2,8,5] => 0110101 => 2
[7,2,6,3,1,8,5,4] => 1011011 => 2
[4,8,7,2,5,3,1,6] => 0110110 => 2
[1,6,3,2,8,7,4,5] => 0110110 => 2
[2,8,1,7,5,4,6,3] => 0101101 => 2
[6,8,3,1,5,7,2,4] => 0110010 => 2
[8,7,3,1,2,5,6,4] => 1110001 => 1
[1,3,5,7,2,8,4,9,6] => 00010101 => 2
[1,3,5,6,2,7,4,9,8] => 00010101 => 2
[1,3,4,5,2,7,6,9,8] => 00010101 => 2
[3,5,7,1,2,4,6,9,8] => 00100001 => 1
[1,3,5,7,2,9,4,6,8,10] => 000101000 => 2
[3,5,7,8,1,9,2,4,6] => 00010100 => 2
[1,3,5,7,2,9,4,10,6,8] => 000101010 => 3
[3,5,6,7,1,8,2,9,4] => 00010101 => 2
[1,3,5,7,2,8,4,9,6,10] => 000101010 => 3
[1,3,5,6,2,7,4,9,8,10] => 000101010 => 3
[1,3,4,5,2,7,6,9,8,10] => 000101010 => 3
[5,4,3,6,1,7,8,2] => 1101001 => 2
[3,2,7,8,5,6,1,4] => 1001010 => 3
[4,8,3,2,1,7,5,6] => 0111010 => 2
[5,1,2,6,4,7,8,3] => 1001001 => 2
[7,1,2,3,4,9,6,8,5] => 10000101 => 2
[7,1,2,3,4,8,6,9,5] => 10000101 => 2
[8,1,2,3,9,5,6,7,4] => 10001001 => 2
[7,1,2,3,9,5,6,8,4] => 10001001 => 2
[7,1,2,3,8,5,6,9,4] => 10001001 => 2
[6,1,2,3,8,5,9,7,4] => 10001011 => 2
[6,1,2,3,7,5,8,9,4] => 10001001 => 2
[6,1,2,8,4,5,9,7,3] => 10010011 => 2
[6,1,2,7,4,5,8,9,3] => 10010001 => 2
[5,1,2,7,4,9,6,8,3] => 10010101 => 3
[5,1,2,7,4,8,6,9,3] => 10010101 => 3
[5,1,2,6,4,7,8,9,3] => 10010001 => 2
[4,1,6,3,8,5,9,7,2] => 10101011 => 3
[4,1,6,3,7,5,8,9,2] => 10101001 => 3
[4,1,5,3,6,7,8,9,2] => 10100001 => 2
[10,1,2,3,4,5,7,8,9,6] => 100000001 => 1
[8,1,2,3,4,5,10,7,9,6] => 100000101 => 2
[8,1,2,3,4,5,9,7,10,6] => 100000101 => 2
[9,1,2,3,4,10,6,7,8,5] => 100001001 => 2
[8,1,2,3,4,10,6,7,9,5] => 100001001 => 2
[8,1,2,3,4,9,6,7,10,5] => 100001001 => 2
[7,1,2,3,4,9,6,10,8,5] => 100001011 => 2
[7,1,2,3,4,8,6,9,10,5] => 100001001 => 2
[8,1,2,3,10,5,6,7,9,4] => 100010001 => 2
[8,1,2,3,9,5,6,7,10,4] => 100010001 => 2
[7,1,2,3,10,5,6,8,9,4] => 100010001 => 2
[7,1,2,3,8,5,6,9,10,4] => 100010001 => 2
[6,1,2,3,8,5,10,7,9,4] => 100010101 => 3
[6,1,2,3,8,5,9,7,10,4] => 100010101 => 3
[6,1,2,3,7,5,8,9,10,4] => 100010001 => 2
[6,1,2,9,4,5,10,7,8,3] => 100100101 => 3
[6,1,2,8,4,5,10,7,9,3] => 100100101 => 3
[6,1,2,8,4,5,9,7,10,3] => 100100101 => 3
[6,1,2,7,4,5,8,9,10,3] => 100100001 => 2
[5,1,2,7,4,9,6,10,8,3] => 100101011 => 3
[5,1,2,7,4,8,6,9,10,3] => 100101001 => 3
[5,1,2,6,4,7,8,9,10,3] => 100100001 => 2
[4,1,6,3,8,5,9,7,10,2] => 101010101 => 4
[4,1,6,3,7,5,8,9,10,2] => 101010001 => 3
[4,1,5,3,6,7,8,9,10,2] => 101000001 => 2
[1,9,8,7,6,4,3,2,5] => 01111110 => 1
[1,9,8,7,5,4,3,2,6] => 01111110 => 1
[1,9,8,6,5,4,3,2,7] => 01111110 => 1
[1,9,7,6,5,4,3,2,8] => 01111110 => 1
[1,9,8,7,6,5,2,3,4] => 01111100 => 1
[1,10,9,8,7,6,5,3,2,4] => 011111110 => 1
[1,9,8,7,6,3,4,2,5] => 01111010 => 2
[1,10,9,8,7,6,4,3,2,5] => 011111110 => 1
[1,9,8,7,4,5,3,2,6] => 01110110 => 2
[1,10,9,8,7,5,4,3,2,6] => 011111110 => 1
[1,9,8,5,6,4,3,2,7] => 01101110 => 2
[1,10,9,8,6,5,4,3,2,7] => 011111110 => 1
[1,8,4,5,6,3,2,7] => 0100110 => 2
[1,9,6,7,5,4,3,2,8] => 01011110 => 2
[1,10,9,7,6,5,4,3,2,8] => 011111110 => 1
[1,7,8,6,5,4,3,2,9] => 00111110 => 1
[1,10,8,7,6,5,4,3,2,9] => 011111110 => 1
[8,5,1,7,4,6,3,2] => 1101011 => 2
[3,4,8,1,6,7,2,5] => 0010010 => 2
[3,6,7,8,4,1,5,2] => 0001101 => 1
[2,3,7,8,4,6,1,5] => 0001010 => 2
[1,3,7,8,4,6,2,5] => 0001010 => 2
[3,1,7,8,4,6,2,5] => 1001010 => 3
[4,3,8,1,6,7,2,5] => 1010010 => 3
[4,8,7,3,6,1,2,5] => 0110100 => 2
[5,8,4,3,7,1,2,6] => 0110100 => 2
[4,1,8,3,7,5,2,6] => 1010110 => 3
[2,4,8,3,6,7,1,5] => 0010010 => 2
[1,6,5,8,7,3,2,4] => 0101110 => 2
[5,6,4,8,7,2,1,3] => 0101110 => 2
[7,2,6,8,3,5,1,4] => 1001010 => 3
[7,2,8,6,5,3,1,4] => 1011110 => 2
[4,8,3,7,6,1,2,5] => 0101100 => 2
[2,8,4,7,1,3,6,5] => 0101001 => 2
[8,9,2,3,4,5,6,1,7] => 01000010 => 2
[7,8,9,2,3,4,5,1,6] => 00100010 => 2
[6,7,8,9,2,3,4,1,5] => 00010010 => 2
[5,6,7,8,9,2,3,1,4] => 00001010 => 2
[9,10,2,3,4,5,6,7,1,8] => 010000010 => 2
[8,9,10,2,3,4,5,6,1,7] => 001000010 => 2
[7,8,9,2,3,4,1,5,6] => 00100100 => 2
[7,8,9,10,2,3,4,5,1,6] => 000100010 => 2
[6,7,8,9,2,3,1,4,5] => 00010100 => 2
[5,6,7,8,9,10,2,3,1,4] => 000001010 => 2
[4,5,6,7,8,1,9,2,3] => 00001010 => 2
[4,5,6,7,8,9,10,2,1,3] => 000000110 => 1
[6,8,3,4,5,2,1,7] => 0100110 => 2
[3,7,1,4,5,6,2,8] => 0100010 => 2
[7,9,3,4,5,6,2,1,8] => 01000110 => 2
[3,9,2,1,5,6,7,8,4] => 01100001 => 1
[3,6,1,4,5,2,7,8] => 0100100 => 2
[3,8,1,4,5,6,7,2,9] => 01000010 => 2
[8,10,3,4,5,6,7,2,1,9] => 010000110 => 2
[6,9,3,4,5,2,7,1,8] => 01001010 => 3
[3,8,2,4,5,1,7,6] => 0100101 => 2
[3,9,2,4,1,6,7,8,5] => 01010001 => 2
[3,7,2,1,5,6,4,8] => 0110010 => 2
[3,6,8,1,5,4,7,2] => 0010101 => 2
[3,8,9,1,5,6,7,4,2] => 00100011 => 1
[3,10,2,1,5,6,7,8,9,4] => 011000001 => 1
[3,7,1,4,5,6,2,8,9] => 01000100 => 2
[3,9,1,4,5,6,7,8,2,10] => 010000010 => 2
[1,7,4,6,3,5,2,8] => 0101010 => 3
[1,3,6,5,7,2,4,8] => 0010100 => 2
[1,7,2,5,6,4,3,8] => 0100110 => 2
[1,6,8,5,4,3,7,2] => 0011101 => 1
[2,5,7,8,4,3,1,6] => 0001110 => 1
[6,8,5,3,2,4,1,7] => 0111010 => 2
[1,6,8,5,3,2,7,4] => 0011101 => 1
[4,6,1,8,7,5,3,2] => 0101111 => 1
[1,3,7,6,8,5,2,4] => 0010110 => 2
[4,1,7,8,6,5,2,3] => 1001110 => 2
[5,4,3,7,6,1,2,8] => 1101100 => 2
[4,7,6,1,2,3,8,5] => 0110001 => 1
[4,5,2,6,7,8,1,3] => 0100010 => 2
[2,8,7,6,5,4,3,1,9] => 01111110 => 1
[2,1,4,9,8,7,6,5,3] => 10011111 => 1
[3,7,6,5,4,2,1,9,8] => 01111101 => 1
[3,2,1,6,9,8,7,5,4] => 11001111 => 1
[4,6,5,3,2,1,9,8,7] => 01111011 => 1
[1,7,6,2,3,8,5,4] => 0110011 => 1
[4,5,1,3,7,6,2,8] => 0100110 => 2
[7,2,3,8,6,4,5,1] => 1001101 => 2
[1,5,4,3,8,6,2,7] => 0110110 => 2
[1,3,7,5,8,4,6,2] => 0010101 => 2
[7,8,1,5,3,4,6,2] => 0101001 => 2
[7,3,5,4,1,6,2,8] => 1011010 => 3
[3,5,7,1,6,4,2,8] => 0010110 => 2
[3,7,5,6,1,4,2,8] => 0101010 => 3
[1,7,5,6,3,4,8,2] => 0101001 => 2
[5,3,1,2,7,8,4,6] => 1100010 => 2
[5,1,3,7,8,2,6,4] => 1000101 => 2
[5,8,1,2,7,6,4,3] => 0100111 => 1
[1,6,7,4,5,3,2,8] => 0010110 => 2
[1,4,2,6,7,5,3,8] => 0100110 => 2
[1,8,2,4,6,5,3,7] => 0100110 => 2
[7,2,1,6,4,3,8,5] => 1101101 => 2
[1,4,8,7,2,3,6,5] => 0011001 => 1
[4,1,3,6,5,8,2,7] => 1001010 => 3
[4,3,7,1,5,8,2,6] => 1010010 => 3
[1,8,6,5,2,7,4,3] => 0111011 => 1
[1,8,6,2,7,4,3,5] => 0110110 => 2
[7,2,6,4,1,8,5,3] => 1011011 => 2
[6,4,1,8,3,7,5,2] => 1101011 => 2
[4,5,8,7,3,6,2,1] => 0011011 => 1
[3,5,4,1,7,8,6,2] => 0110011 => 1
[2,9,8,7,6,1,5,4,3] => 01111011 => 1
[6,8,7,2,1,5,4,3] => 0111011 => 1
[4,9,8,7,6,5,2,1,3] => 01111110 => 1
[5,9,8,7,6,2,1,4,3] => 01111101 => 1
[2,10,9,8,7,6,1,5,4,3] => 011111011 => 1
[6,9,8,7,2,1,5,4,3] => 01111011 => 1
[7,9,8,2,1,6,5,4,3] => 01110111 => 1
[2,10,9,8,1,7,6,5,4,3] => 011101111 => 1
[8,9,2,1,7,6,5,4,3] => 01101111 => 1
[2,10,9,1,8,7,6,5,4,3] => 011011111 => 1
[8,1,6,3,7,5,4,2] => 1010111 => 2
[8,5,1,3,7,6,4,2] => 1100111 => 1
[8,3,6,5,4,2,1,7] => 1011110 => 2
[6,1,3,5,7,2,8,4] => 1000101 => 2
[1,6,7,5,8,4,2,3] => 0010110 => 2
[7,4,1,6,5,2,8,3] => 1101101 => 2
[7,4,2,8,6,5,3,1] => 1101111 => 1
[6,8,4,7,3,2,5,1] => 0101101 => 2
[5,8,7,3,2,1,6,4] => 0111101 => 1
[5,8,7,2,6,4,3,1] => 0110111 => 1
[6,8,7,3,5,1,4,2] => 0110101 => 2
[7,2,5,6,8,3,4,1] => 1000101 => 2
[1,6,5,7,8,3,2,4] => 0100110 => 2
[8,6,7,2,3,5,4,1] => 1010011 => 2
[5,4,8,6,7,3,1,2] => 1010110 => 3
[4,2,7,3,1,6,8,5] => 1011001 => 2
[7,3,6,4,2,1,8,5] => 1011101 => 2
[4,8,5,2,7,3,1,6] => 0110110 => 2
[6,4,3,1,8,5,2,7] => 1110110 => 2
[7,4,3,1,5,8,6,2] => 1110011 => 1
[7,4,8,6,5,3,1,2] => 1011110 => 2
[4,8,5,2,6,7,3,1] => 0110011 => 1
[7,3,2,1,8,5,6,4] => 1110101 => 2
[7,8,1,9,2,3,4,5,6] => 01010000 => 2
[6,7,8,1,9,2,3,4,5] => 00101000 => 2
[5,6,7,8,1,9,2,3,4] => 00010100 => 2
[9,1,2,3,4,5,7,6,8] => 10000010 => 2
[2,1,3,4,5,9,6,7,8] => 10000100 => 2
[1,5,7,2,4,3,8,6] => 0010101 => 2
[1,2,7,5,8,4,3,6] => 0010110 => 2
[5,1,3,8,2,7,4,6] => 1001010 => 3
[5,7,1,3,2,8,4,6] => 0101010 => 3
[7,1,6,3,2,8,4,5] => 1011010 => 3
[8,1,7,2,3,6,5,4] => 1010011 => 2
[7,1,2,6,4,3,8,5] => 1001101 => 2
[1,4,7,8,3,2,5,6] => 0001100 => 1
[8,7,1,3,2,4,6,5] => 1101001 => 2
[8,1,6,3,2,4,7,5] => 1011001 => 2
[1,8,2,7,6,3,5,4] => 0101101 => 2
[8,1,6,3,2,7,4,5] => 1011010 => 3
[8,2,1,7,6,3,4,5] => 1101100 => 2
[6,8,4,3,5,1,2,7] => 0110100 => 2
[8,7,3,5,4,1,2,6] => 1101100 => 2
[6,3,8,5,7,2,1,4] => 1010110 => 3
[8,7,3,6,4,1,2,5] => 1101100 => 2
[5,2,7,4,6,1,3,8] => 1010100 => 3
[8,7,2,3,5,1,4,6] => 1100100 => 2
[7,6,3,4,1,8,2,5] => 1101010 => 3
[6,3,5,2,8,1,4,7] => 1010100 => 3
[6,4,5,3,1,7,2,8] => 1011010 => 3
[8,7,2,4,3,1,5,6] => 1101100 => 2
[7,6,2,3,1,4,8,5] => 1101001 => 2
[4,7,6,2,3,1,5,8] => 0110100 => 2
[4,7,6,1,3,2,8,5] => 0110101 => 2
[7,2,6,5,4,3,1,9,8] => 10111101 => 2
[3,2,1,9,5,8,7,6,4] => 11010111 => 2
[6,3,5,4,2,1,9,8,7] => 10111011 => 2
[4,3,2,1,9,7,8,6,5] => 11101011 => 2
[2,8,1,3,5,6,4,7] => 0100010 => 2
[2,6,3,4,7,8,5,1] => 0100011 => 1
[7,6,3,1,8,5,2,4] => 1110110 => 2
[7,2,1,3,6,8,5,4] => 1100011 => 1
[7,6,3,8,1,5,2,4] => 1101010 => 3
[1,6,4,7,8,5,3,2] => 0100111 => 1
[7,2,5,8,6,1,3,4] => 1001100 => 2
[4,1,3,6,2,5,8,7] => 1001001 => 2
[7,1,4,6,3,2,5,8] => 1001100 => 2
[7,4,5,8,6,2,3,1] => 1001101 => 2
[6,7,2,3,8,4,1,5] => 0100110 => 2
[1,5,2,6,8,7,4,3] => 0100111 => 1
[1,2,3,4,5,6,8,9,7,10] => 000000010 => 1
[1,8,3,7,5,2,6,4] => 0101101 => 2
[8,1,3,6,5,2,7,4] => 1001101 => 2
[7,1,3,8,5,2,6,4] => 1001101 => 2
[4,7,1,5,2,6,8,3] => 0101001 => 2
[7,4,1,5,2,6,8,3] => 1101001 => 2
[3,1,6,7,5,2,8,4] => 1001101 => 2
[8,6,2,4,5,1,7,3] => 1100101 => 2
[8,6,7,5,2,1,4,3] => 1011101 => 2
[7,1,4,5,2,6,8,3] => 1001001 => 2
[4,1,6,2,3,8,7,5] => 1010011 => 2
[4,1,7,6,5,2,8,3] => 1011101 => 2
[8,4,1,5,6,2,7,3] => 1100101 => 2
[8,4,5,3,6,1,7,2] => 1010101 => 3
[2,8,4,7,3,5,6,1] => 0101001 => 2
[1,5,4,8,3,2,6,7] => 0101100 => 2
[1,5,7,6,3,8,2,4] => 0011010 => 2
[2,6,3,1,7,8,4,5] => 0110010 => 2
[2,1,7,8,3,5,4,6] => 1001010 => 3
[1,5,8,6,7,4,2,3] => 0010110 => 2
[8,7,1,3,5,2,6,4] => 1100101 => 2
[3,7,8,2,5,4,1,6] => 0010110 => 2
[4,7,6,5,8,1,3,2] => 0110101 => 2
[4,7,8,6,2,1,5,3] => 0011101 => 1
[4,8,6,3,2,1,7,5] => 0111101 => 1
[5,1,4,7,6,8,3,2] => 1001011 => 2
[5,6,4,7,1,8,3,2] => 0101011 => 2
[5,3,7,4,6,1,8,2] => 1010101 => 3
[4,1,5,7,8,6,3,2] => 1000111 => 1
[3,6,7,1,5,4,8,2] => 0010101 => 2
[3,6,4,7,5,8,2,1] => 0101011 => 2
[9,1,2,3,4,8,6,5,7] => 10000110 => 2
[9,1,2,3,8,5,6,4,7] => 10001010 => 3
[8,1,2,9,4,5,6,3,7] => 10010010 => 3
[9,1,8,3,4,5,6,2,7] => 10100010 => 3
[7,1,2,3,4,9,5,8,6] => 10000101 => 2
[10,1,2,3,4,5,9,7,6,8] => 100000110 => 2
[6,1,2,3,8,4,5,9,7] => 10001001 => 2
[10,1,2,3,4,9,6,7,5,8] => 100001010 => 3
[5,1,2,8,3,4,6,9,7] => 10010001 => 2
[9,1,2,3,10,5,6,7,4,8] => 100010010 => 3
[4,1,9,2,3,5,6,8,7] => 10100001 => 2
[10,1,2,9,4,5,6,7,3,8] => 100100010 => 3
[3,8,1,2,4,5,6,9,7] => 01000001 => 1
[10,1,9,3,4,5,6,7,2,8] => 101000010 => 3
[8,2,1,3,4,5,6,9,7] => 11000001 => 1
[8,1,2,3,4,5,10,6,9,7] => 100000101 => 2
[11,1,2,3,4,5,6,10,8,7,9] => 1000000110 => 2
[9,1,2,3,8,5,4,7,6] => 10001101 => 2
[7,1,2,3,4,9,5,6,10,8] => 100001001 => 2
[11,1,2,3,4,5,10,7,8,6,9] => 1000001010 => 3
[6,1,2,3,9,4,7,8,5] => 10001001 => 2
[6,1,2,3,9,4,5,7,10,8] => 100010001 => 2
[5,1,2,8,3,6,4,9,7] => 10010101 => 3
[5,1,2,10,3,4,6,7,9,8] => 100100001 => 2
[9,8,2,1,4,5,6,7,3] => 11100001 => 1
[8,1,7,3,2,4,5,6] => 1011000 => 2
[4,1,8,2,5,3,6,9,7] => 10101001 => 3
[4,1,9,2,3,5,6,7,10,8] => 101000001 => 2
[3,9,1,4,2,5,6,8,7] => 01010001 => 2
[3,9,1,2,4,5,6,7,10,8] => 010000001 => 1
[8,2,3,1,4,5,6,9,7] => 10100001 => 2
[10,2,1,3,4,5,6,7,9,8] => 110000001 => 1
[6,4,7,1,5,2,8,3] => 1010101 => 3
[4,8,1,3,5,2,7,6] => 0100101 => 2
[1,6,5,2,8,7,4,3] => 0110111 => 1
[2,3,4,5,7,8,1,9,6] => 00000101 => 1
[1,3,4,5,2,6,7,8,9] => 00010000 => 1
[1,2,3,4,5,7,8,6,9,10] => 000000100 => 1
[2,3,4,5,7,9,1,6,8] => 00000100 => 1
[1,2,3,4,5,7,8,9,6,10] => 000000010 => 1
[2,3,4,5,1,6,7,9,8] => 00010001 => 1
[4,5,6,1,7,8,9,2,3] => 00100010 => 2
[2,1,4,5,3,6,7,8,9] => 10010000 => 2
[2,4,5,6,1,7,8,9,10,3] => 000100001 => 1
[1,3,2,5,4,6,7,8,9] => 01010000 => 2
[2,3,5,6,1,7,8,9,10,4] => 000100001 => 1
[4,1,7,2,5,8,3,6] => 1010010 => 3
[3,2,5,8,6,1,7,4] => 1001101 => 2
[4,5,1,7,2,8,6,3] => 0101011 => 2
[2,8,5,3,6,7,4,1] => 0110011 => 1
[2,3,4,5,9,8,6,7,1] => 00001101 => 1
[2,3,4,9,7,5,8,6,1] => 00011011 => 1
[2,3,9,6,4,7,8,5,1] => 00110011 => 1
[8,3,5,2,6,7,4,1] => 1010011 => 2
[2,8,6,3,4,7,5,1] => 0110011 => 1
[2,9,5,3,6,7,8,4,1] => 01100011 => 1
[9,4,2,5,6,7,8,3,1] => 11000011 => 1
[6,4,7,2,5,3,1,8] => 1010110 => 3
[7,1,4,3,6,8,2,5] => 1010010 => 3
[6,3,1,5,4,8,7,2] => 1101011 => 2
[4,1,6,2,8,3,5,7,9] => 10101000 => 3
[4,1,6,2,8,3,9,5,7] => 10101010 => 4
[4,1,6,2,7,3,8,5,9] => 10101010 => 4
[7,1,3,8,5,4,2,6] => 1001110 => 2
[4,8,7,3,5,1,6,2] => 0110101 => 2
[5,3,8,7,1,6,2,4] => 1011010 => 3
[3,4,1,6,2,8,7,5] => 0101011 => 2
[5,2,6,7,4,3,1,8] => 1001110 => 2
[8,5,1,6,4,3,2,7] => 1101110 => 2
[8,6,3,5,2,7,1,4] => 1101010 => 3
[8,4,6,2,1,5,7,3] => 1011001 => 2
[8,5,2,1,6,4,7,3] => 1110101 => 2
[1,7,2,8,5,4,6,3] => 0101101 => 2
[6,7,1,4,8,5,3,2] => 0100111 => 1
[7,3,2,8,5,1,4,6] => 1101100 => 2
[4,1,7,3,2,8,5,6] => 1011010 => 3
[8,3,5,2,4,7,1,6] => 1010010 => 3
[4,3,7,8,6,1,5,2] => 1001101 => 2
[1,2,6,3,7,8,5,4] => 0010011 => 1
[6,1,3,7,8,5,4,2] => 1000111 => 1
[8,7,9,1,4,5,6,2,3] => 10100010 => 3
[7,6,9,1,4,5,2,8,3] => 10100101 => 3
[9,8,10,1,4,5,6,7,2,3] => 101000010 => 3
[2,6,4,7,5,3,1,8] => 0101110 => 2
[5,6,3,7,2,8,4,1] => 0101011 => 2
[4,5,1,8,6,2,7,3] => 0101101 => 2
[5,6,1,8,7,2,3,4] => 0101100 => 2
[4,5,1,6,8,7,3,2] => 0100111 => 1
[3,9,2,4,5,6,7,8,1] => 01000001 => 1
[3,8,6,1,5,2,4,7] => 0110100 => 2
[3,2,8,1,5,6,4,7] => 1010010 => 3
[5,8,7,3,2,1,4,6] => 0111100 => 1
[3,4,7,6,8,2,1,5] => 0010110 => 2
[2,8,1,3,7,5,6,4] => 0100101 => 2
[1,8,7,2,5,6,4,3] => 0110011 => 1
[3,4,7,1,5,8,2,6] => 0010010 => 2
[4,2,7,1,5,8,3,6] => 1010010 => 3
[1,3,5,2,4,6,7,8,9] => 00100000 => 1
[4,1,2,3,5,6,8,7,9] => 10000010 => 2
[1,2,4,7,3,5,6,8,9] => 00010000 => 1
[5,1,2,3,4,7,6,8,9] => 10000100 => 2
[2,4,6,3,5,1,7,8] => 0010100 => 2
[4,1,6,2,5,8,3,7] => 1010010 => 3
[1,8,2,5,7,3,4,6] => 0100100 => 2
[1,4,6,3,8,5,2,7] => 0010110 => 2
[4,5,6,3,1,7,2,8] => 0011010 => 2
[3,4,6,2,5,1,7,8] => 0010100 => 2
[1,4,7,5,2,3,6,8] => 0011000 => 1
[1,4,6,5,8,2,3,7] => 0010100 => 2
[1,4,8,3,7,6,2,5] => 0010110 => 2
[1,4,5,3,7,2,6,8] => 0010100 => 2
[2,5,7,6,8,3,4,1] => 0010101 => 2
[3,1,6,7,2,8,5,4] => 1001011 => 2
[1,5,3,6,8,4,7,2] => 0100101 => 2
[6,5,1,3,8,4,7,2] => 1100101 => 2
[1,7,4,8,5,3,2,6] => 0101110 => 2
[7,3,1,6,8,4,5,2] => 1100101 => 2
[8,5,1,4,6,7,3,2] => 1100011 => 1
[3,4,7,5,6,8,2,1] => 0010011 => 1
[3,4,7,8,5,2,6,1] => 0001101 => 1
[7,4,2,3,6,5,1,8] => 1100110 => 2
[7,2,4,3,1,5,6,8] => 1011000 => 2
[6,3,1,4,8,5,7,2] => 1100101 => 2
[6,3,5,4,8,7,1,2] => 1010110 => 3
[2,6,4,3,1,7,5,8] => 0111010 => 2
[4,8,1,7,5,6,3,2] => 0101011 => 2
[1,5,7,2,8,4,6,3] => 0010101 => 2
[5,8,7,2,3,6,4,1] => 0110011 => 1
[4,6,5,1,2,3,7,8] => 0110000 => 1
[1,8,7,5,2,6,3,4] => 0111010 => 2
[1,7,6,3,4,5,8,2] => 0110001 => 1
[1,8,7,4,5,6,2,3] => 0110010 => 2
[1,8,7,3,6,4,2,5] => 0110110 => 2
[1,4,7,5,8,2,6,3] => 0010101 => 2
[1,4,7,2,3,6,5,8] => 0010010 => 2
[1,7,2,5,6,3,4,8] => 0100100 => 2
[1,2,6,5,8,3,4,7] => 0010100 => 2
[1,5,8,2,6,3,4,7] => 0010100 => 2
[6,8,3,2,7,5,1,4] => 0110110 => 2
[7,3,6,8,1,2,5,4] => 1001001 => 2
[4,1,5,7,2,6,3,8] => 1001010 => 3
[5,7,2,1,3,6,4,8] => 0110010 => 2
[7,1,10,9,2,3,4,5,6,8] => 101100000 => 2
[6,7,9,1,2,3,4,5,10,8] => 001000001 => 1
[2,8,1,9,10,3,4,5,6,7] => 010010000 => 2
[8,7,1,10,2,3,4,5,6,9] => 110100000 => 2
[3,5,6,7,2,4,1,8] => 0001010 => 2
[6,4,7,5,2,3,1,8] => 1011010 => 3
[1,5,6,4,8,3,2,7] => 0010110 => 2
[2,1,5,6,4,8,3,7] => 1001010 => 3
[5,1,4,7,8,6,2,3] => 1000110 => 2
[1,6,7,2,8,5,4,3] => 0010111 => 1
[5,3,2,1,7,8,6,4] => 1110011 => 1
[7,4,3,8,6,1,5,2] => 1101101 => 2
[4,3,7,1,5,8,6,2] => 1010011 => 2
[8,2,4,5,3,1,7,6] => 1001101 => 2
[1,4,3,2,7,5,8,6] => 0110101 => 2
[1,5,2,8,6,3,10,9,7,4] => 010110111 => 2
[4,1,5,2,8,6,3,10,9,7] => 101011011 => 3
[1,7,5,2,8,6,3,10,9,4] => 011011011 => 2
[4,1,7,5,2,8,3,10,9,6] => 101101011 => 3
[6,4,1,7,5,2,8,3,10,9] => 110110101 => 3
[3,4,1,7,2,8,5,10,9,6] => 010101011 => 3
[3,6,4,1,7,2,8,5,10,9] => 011010101 => 3
[1,5,2,9,8,6,3,10,7,4] => 010111011 => 2
[4,1,5,2,9,8,6,3,10,7] => 101011101 => 3
[1,7,5,2,9,6,3,10,8,4] => 011011011 => 2
[4,1,7,5,2,9,3,10,8,6] => 101101011 => 3
[4,1,9,6,5,2,7,3,10,8] => 101110101 => 3
[3,4,1,7,2,9,5,10,8,6] => 010101011 => 3
[3,6,1,9,4,2,7,5,10,8] => 010110101 => 3
[1,8,7,5,2,9,6,3,10,4] => 011101101 => 2
[4,1,8,7,5,2,9,3,10,6] => 101110101 => 3
[6,4,1,8,5,2,9,3,10,7] => 110110101 => 3
[7,6,4,1,8,5,2,9,3,10] => 111011010 => 3
[3,4,1,8,7,2,9,5,10,6] => 010110101 => 3
[3,6,4,1,8,2,9,5,10,7] => 011010101 => 3
[3,7,6,4,1,8,2,9,5,10] => 011101010 => 3
[1,9,6,5,2,7,3,10,8,4] => 011101011 => 2
[6,1,9,4,2,7,3,10,8,5] => 101101011 => 3
[5,4,1,9,6,2,7,3,10,8] => 110110101 => 3
[9,3,1,6,2,7,4,10,8,5] => 110101011 => 3
[9,5,3,1,6,2,7,4,10,8] => 111010101 => 3
[6,1,8,5,2,9,7,3,10,4] => 101101101 => 3
[6,4,1,8,2,9,7,3,10,5] => 110101101 => 3
[8,5,4,1,6,2,9,3,10,7] => 111010101 => 3
[5,7,4,1,8,6,2,9,3,10] => 011011010 => 3
[3,6,1,8,2,9,7,4,10,5] => 010101101 => 3
[5,8,3,1,6,2,9,4,10,7] => 011010101 => 3
[5,3,7,1,8,6,2,9,4,10] => 101011010 => 4
[4,3,8,1,9,5,2,6,10,7] => 101011001 => 3
[7,4,3,5,1,8,2,9,6,10] => 110101010 => 4
[9,6,2,1,3,7,4,10,8,5] => 111001011 => 2
[5,9,2,1,6,3,7,4,10,8] => 011010101 => 3
[6,8,2,1,3,9,7,4,10,5] => 011001101 => 2
[8,2,5,1,6,3,9,4,10,7] => 101010101 => 4
[2,5,7,1,8,6,3,9,4,10] => 001011010 => 3
[2,4,8,1,9,5,3,6,10,7] => 001011001 => 2
[4,8,7,2,6,1,3,5] => 0110100 => 2
[4,5,8,2,1,7,3,6] => 0011010 => 2
[6,8,4,1,7,3,2,5] => 0110110 => 2
[5,6,4,3,2,1,7,8,9] => 01111000 => 1
[5,6,4,3,2,1,7,8,9,10] => 011110000 => 1
[4,5,3,2,1,6,7,8,9] => 01110000 => 1
[6,7,5,4,3,2,1,8,9,10,11] => 0111110000 => 1
[6,7,5,4,3,2,1,8,9,10] => 011111000 => 1
[6,7,4,3,2,1,5,8,9] => 01111000 => 1
[5,6,4,3,2,7,1,8,9] => 01110100 => 2
[7,5,4,3,1,2,6,8,9] => 11110000 => 1
[6,5,4,3,7,1,2,8,9] => 11101000 => 2
[7,6,5,4,3,1,2,8,9,10,11] => 1111100000 => 1
[6,7,9,8,5,4,3,2,1] => 00111111 => 0
[7,6,8,9,5,4,3,2,1] => 10011111 => 1
[9,11,10,8,7,6,5,4,3,2,1] => 0111111111 => 0
[7,8,10,9,6,5,4,3,2,1] => 001111111 => 0
[6,7,5,9,8,4,3,2,1] => 01011111 => 1
[5,7,9,8,6,4,3,2,1] => 00111111 => 0
[7,6,8,5,9,4,3,2,1] => 10101111 => 2
[6,5,8,9,7,4,3,2,1] => 10011111 => 1
[8,7,9,10,6,5,4,3,2,1] => 100111111 => 1
[6,3,1,8,2,7,5,4] => 1101011 => 2
[6,4,1,3,2,5,7,8] => 1101000 => 2
[4,1,7,8,3,2,5,6] => 1001100 => 2
[5,4,7,1,3,6,2,8] => 1010010 => 3
[7,6,2,8,4,5,3,1] => 1101011 => 2
[5,8,2,1,3,6,4,7] => 0110010 => 2
[7,6,4,3,5,2,1,9,8] => 11101101 => 2
[7,6,3,5,4,2,1,9,8] => 11011101 => 2
[8,5,1,7,3,4,6,2] => 1101001 => 2
[5,7,6,3,4,1,8,2] => 0110101 => 2
[7,8,9,10,1,5,6,3,4,2] => 000100101 => 2
[1,8,3,5,2,6,4,7] => 0101010 => 3
[3,4,6,1,8,5,7,2] => 0010101 => 2
[2,3,8,7,4,5,1,6] => 0011010 => 2
[1,8,3,5,7,4,2,6] => 0100110 => 2
[2,5,8,4,6,7,1,3] => 0010010 => 2
[9,8,6,1,2,3,4,5,7] => 11100000 => 1
[9,8,7,5,1,2,3,4,6] => 11110000 => 1
[9,8,7,6,4,1,2,3,5] => 11111000 => 1
[9,8,7,6,5,3,1,2,4] => 11111100 => 1
[7,1,2,6,4,3,5,8] => 1001100 => 2
[7,1,2,6,5,3,4,8] => 1001100 => 2
[4,7,8,6,2,3,5,1] => 0011001 => 1
[7,1,2,4,8,6,5,3] => 1000111 => 1
[2,7,5,6,4,8,1,3] => 0101010 => 3
[2,8,3,6,5,7,1,4] => 0101010 => 3
[9,8,4,7,6,5,3,2,1] => 11011111 => 1
[9,8,3,7,6,5,4,2,1] => 11011111 => 1
[9,3,8,7,6,5,4,2,1] => 10111111 => 1
[9,2,8,7,6,5,4,3,1] => 10111111 => 1
[10,9,8,5,7,6,4,3,2,1] => 111011111 => 1
[9,8,4,6,5,7,3,2,1] => 11010111 => 2
[10,9,8,4,7,6,5,3,2,1] => 111011111 => 1
[9,8,3,6,5,4,7,2,1] => 11011011 => 2
[10,9,4,8,7,6,5,3,2,1] => 110111111 => 1
[9,3,7,6,5,4,8,2,1] => 10111011 => 2
[9,2,7,6,5,4,3,8,1] => 10111101 => 2
[10,3,9,8,7,6,5,4,2,1] => 101111111 => 1
[10,2,9,8,7,6,5,4,3,1] => 101111111 => 1
[7,4,3,1,6,5,2,8] => 1110110 => 2
[3,5,1,2,6,8,7,4] => 0100011 => 1
[3,1,2,4,8,7,5,6] => 1000110 => 2
[5,4,1,2,3,7,8,6] => 1100001 => 1
[1,6,7,2,5,8,3,4] => 0010010 => 2
[7,8,5,6,2,4,3,1] => 0101011 => 2
[5,3,8,6,2,4,1,7] => 1011010 => 3
[2,7,4,6,3,8,1,5] => 0101010 => 3
[5,4,7,8,6,2,1,3] => 1001110 => 2
[2,7,4,8,3,1,5,6] => 0101100 => 2
[8,2,1,3,7,4,6,5] => 1100101 => 2
[6,5,8,2,3,4,7,1] => 1010001 => 2
[7,8,2,3,6,4,5,1] => 0100101 => 2
[8,1,2,7,5,3,4,6] => 1001100 => 2
[4,2,8,1,3,7,5,6] => 1010010 => 3
[7,5,1,8,2,3,4,6] => 1101000 => 2
[8,2,4,1,3,7,5,6] => 1010010 => 3
[8,1,6,2,3,7,4,5] => 1010010 => 3
[7,1,8,2,3,6,4,5] => 1010010 => 3
[4,2,6,7,5,1,8,3] => 1001101 => 2
[4,7,2,5,3,8,1,6] => 0101010 => 3
[3,5,7,4,2,8,1,6] => 0011010 => 2
[2,4,7,6,3,8,1,5] => 0011010 => 2
[4,6,8,5,1,2,3,7] => 0011000 => 1
[4,6,5,7,1,2,3,8] => 0101000 => 2
[4,6,5,7,1,3,8,2] => 0101001 => 2
[3,4,7,6,1,8,2,5] => 0011010 => 2
[8,5,2,1,6,3,4,7] => 1110100 => 2
[7,1,8,5,3,2,4,6] => 1011100 => 2
[9,10,2,1,6,4,3,5,7,8] => 011011000 => 2
[7,10,2,1,8,4,3,5,6,9] => 011011000 => 2
[2,9,1,10,7,4,3,5,6,8] => 010111000 => 2
[2,8,1,9,4,3,10,5,6,7] => 010110100 => 3
[10,8,5,2,1,6,3,4,7,9] => 111101000 => 2
[9,5,2,1,10,6,3,4,7,8] => 111011000 => 2
[10,7,2,1,8,5,3,4,6,9] => 111011000 => 2
[9,2,1,10,7,5,3,4,6,8] => 110111000 => 2
[2,8,1,9,3,10,5,4,6,7] => 010101100 => 3
[10,6,2,1,7,3,8,4,5,9] => 111010100 => 3
[9,2,1,10,6,3,7,4,5,8] => 110110100 => 3
[8,2,1,9,3,10,6,4,5,7] => 110101100 => 3
[7,2,1,8,3,9,4,10,5,6] => 110101010 => 4
[10,8,6,3,1,4,2,5,7,9] => 111101000 => 2
[3,9,1,10,6,4,2,5,7,8] => 010111000 => 2
[10,7,3,1,8,4,2,5,6,9] => 111011000 => 2
[9,3,1,10,7,4,2,5,6,8] => 110111000 => 2
[8,3,1,9,4,2,10,5,6,7] => 110110100 => 3
[10,8,5,1,6,3,2,4,7,9] => 111011000 => 2
[9,5,1,10,6,3,2,4,7,8] => 110111000 => 2
[10,7,1,8,5,3,2,4,6,9] => 110111000 => 2
[9,1,10,7,5,3,2,4,6,8] => 101111000 => 2
[8,3,1,9,2,10,5,4,6,7] => 110101100 => 3
[10,6,1,7,3,2,8,4,5,9] => 110110100 => 3
[9,1,10,6,3,2,7,4,5,8] => 101110100 => 3
[8,1,9,3,2,10,6,4,5,7] => 101101100 => 3
[7,1,8,3,2,9,4,10,5,6] => 101101010 => 4
[10,8,4,1,5,2,6,3,7,9] => 111010100 => 3
[9,4,1,10,5,2,6,3,7,8] => 110110100 => 3
[10,7,1,8,4,2,5,3,6,9] => 110110100 => 3
[9,1,10,7,4,2,5,3,6,8] => 101110100 => 3
[8,1,9,4,2,10,5,3,6,7] => 101101100 => 3
[10,6,1,7,2,8,4,3,5,9] => 110101100 => 3
[9,1,10,6,2,7,4,3,5,8] => 101101100 => 3
[8,1,9,2,10,6,4,3,5,7] => 101011100 => 3
[7,1,8,2,9,4,3,10,5,6] => 101011010 => 4
[10,5,1,6,2,7,3,8,4,9] => 110101010 => 4
[9,1,10,5,2,6,3,7,4,8] => 101101010 => 4
[8,1,9,2,10,5,3,6,4,7] => 101011010 => 4
[7,1,8,2,9,3,10,5,4,6] => 101010110 => 4
[8,6,1,3,2,7,5,4] => 1101011 => 2
[8,1,7,5,2,4,6,3] => 1011001 => 2
[8,2,7,5,4,1,6,3] => 1011101 => 2
[8,6,1,2,7,3,5,4] => 1100101 => 2
[4,2,8,5,7,1,6,3] => 1010101 => 3
[6,8,7,4,5,3,2,1] => 0110111 => 1
[5,2,6,7,4,8,3,1] => 1001011 => 2
[6,5,8,1,7,3,2,4] => 1010110 => 3
[6,4,8,1,5,2,3,7] => 1010100 => 3
[7,2,4,1,6,3,5,8] => 1010100 => 3
[4,2,1,3,6,5,8,7,9] => 11001010 => 3
[4,2,1,3,6,5,8,7,10,9] => 110010101 => 3
[6,2,1,4,3,5,8,7,9] => 11010010 => 3
[2,6,1,5,3,4,8,7] => 0101001 => 2
[3,8,7,5,4,2,6,1] => 0111101 => 1
[5,7,8,2,3,6,4,1] => 0010011 => 1
[2,8,7,3,1,4,5,6] => 0111000 => 1
[5,6,1,2,4,7,8,3] => 0100001 => 1
[10,2,3,1,4,5,6,7,8,9] => 101000000 => 2
[9,2,3,4,1,5,6,7,8] => 10010000 => 2
[9,8,4,5,7,6,3,2,1] => 11001111 => 1
[9,8,5,4,6,7,3,2,1] => 11100111 => 1
[10,9,8,6,5,7,4,3,2,1] => 111101111 => 1
[10,9,8,4,5,7,6,3,2,1] => 111001111 => 1
[9,8,4,5,3,7,6,2,1] => 11010111 => 2
[9,8,3,5,7,6,4,2,1] => 11001111 => 1
[9,8,5,4,6,3,7,2,1] => 11101011 => 2
[9,8,4,3,6,7,5,2,1] => 11100111 => 1
[10,9,8,5,4,6,7,3,2,1] => 111100111 => 1
[3,8,6,7,5,4,2,1] => 0101111 => 1
[7,8,5,1,4,6,2,3] => 0110010 => 2
[8,2,7,5,4,6,1,3] => 1011010 => 3
[8,4,7,6,3,1,2,5] => 1011100 => 2
[4,6,7,1,3,2,8,5] => 0010101 => 2
[6,4,7,5,3,2,8,1] => 1011101 => 2
[8,4,6,3,1,5,7,2] => 1011001 => 2
[7,3,1,4,5,6,8,2] => 1100001 => 1
[6,7,3,4,2,1,8,5] => 0101101 => 2
[6,4,8,3,1,5,7,2] => 1011001 => 2
[7,4,2,3,5,1,8,6] => 1100101 => 2
[3,1,6,5,2,4,8,7] => 1011001 => 2
[2,5,3,8,6,4,1,7] => 0101110 => 2
[5,8,4,1,3,2,7,6] => 0110101 => 2
[5,3,4,7,6,1,8,2] => 1001101 => 2
[4,5,2,1,6,3,8,7] => 0110101 => 2
[4,5,2,1,6,7,3,8] => 0110010 => 2
[5,3,8,6,2,4,7,1] => 1011001 => 2
[2,5,1,6,4,3,8,7] => 0101101 => 2
[3,6,2,8,5,7,1,4] => 0101010 => 3
[4,6,8,1,5,7,2,3] => 0010010 => 2
[4,1,2,5,7,6,3,8] => 1000110 => 2
[4,6,5,8,1,7,3,2] => 0101011 => 2
[2,1,3,6,4,8,7,5] => 1001011 => 2
[4,8,1,2,7,5,6,3] => 0100101 => 2
[1,6,4,3,8,7,5,2] => 0110111 => 1
[4,5,1,6,8,7,2,3] => 0100110 => 2
[2,5,1,8,6,4,7,3] => 0101101 => 2
[2,5,8,7,3,1,4,6] => 0011100 => 1
[9,8,7,4,3,2,1,5,6] => 11111100 => 1
[9,8,7,6,3,2,1,4,5] => 11111100 => 1
[3,8,7,2,6,1,4,5] => 0110100 => 2
[8,4,5,1,6,7,2,3] => 1010010 => 3
[8,4,7,3,1,5,2,6] => 1011010 => 3
[2,5,1,8,3,6,4,7] => 0101010 => 3
[5,8,4,7,3,2,1,6] => 0101110 => 2
[5,6,8,4,2,7,1,3] => 0011010 => 2
[4,3,8,6,1,2,5,7] => 1011000 => 2
[4,8,6,5,7,1,3,2] => 0110101 => 2
[7,2,3,5,6,8,4,1] => 1000011 => 1
[5,8,1,3,4,7,2,6] => 0100010 => 2
[8,3,4,2,7,6,1,5] => 1010110 => 3
[8,7,5,6,4,1,3,2] => 1101101 => 2
[8,7,4,2,3,6,5,1] => 1110011 => 1
[8,4,2,3,7,6,5,1] => 1100111 => 1
[7,2,4,5,3,1,6,8] => 1001100 => 2
[7,6,3,1,4,5,8,2] => 1110001 => 1
[5,4,1,7,8,6,2,3] => 1100110 => 2
[5,3,4,7,8,1,6,2] => 1000101 => 2
[4,3,7,6,5,1,8,2] => 1011101 => 2
[5,1,4,8,2,3,7,6] => 1001001 => 2
[3,2,8,5,4,1,6,7] => 1011100 => 2
[7,8,9,1,3,4,5,6,2] => 00100001 => 1
[1,2,8,3,4,6,5,7] => 0010010 => 2
[8,1,2,7,3,5,4,6] => 1001010 => 3
[5,7,1,2,6,3,4,8] => 0100100 => 2
[1,2,7,5,6,3,4,8] => 0010100 => 2
[5,1,4,7,2,3,6,8] => 1001000 => 2
[4,8,1,2,3,6,5,7] => 0100010 => 2
[1,3,4,2,5,6,7,8,9] => 00100000 => 1
[1,2,4,5,6,3,7,8,9] => 00001000 => 1
[1,2,3,5,6,7,8,4,9] => 00000010 => 1
[2,1,5,3,6,7,4,8,9] => 10100100 => 3
[1,3,5,6,4,2,7,8,9] => 00011000 => 1
[3,5,2,1,6,4,7,8,9] => 01101000 => 2
[2,1,3,6,4,7,8,9,5] => 10010001 => 2
[1,3,4,6,7,2,8,5,9] => 00001010 => 2
[3,2,6,1,4,7,8,5,9] => 10100010 => 3
[2,4,6,1,7,5,3,8,9] => 00101100 => 2
[4,6,3,2,1,7,5,8,9] => 01110100 => 2
[2,4,1,7,5,8,3,9,6] => 01010101 => 3
[4,3,7,2,1,5,8,9,6] => 10110001 => 2
[1,3,5,7,8,6,4,2,9] => 00001110 => 1
[3,5,7,2,1,8,6,4,9] => 00110110 => 2
[5,7,4,3,2,1,8,6,9] => 01111010 => 2
[2,4,6,8,1,9,7,5,3] => 00010111 => 1
[4,6,8,3,2,1,9,7,5] => 00111011 => 1
[6,8,5,4,3,2,1,9,7] => 01111101 => 1
[1,3,4,2,5,6,7,8,9,10] => 001000000 => 1
[1,2,4,5,6,3,7,8,9,10] => 000010000 => 1
[1,2,3,5,6,7,8,4,9,10] => 000000100 => 1
[2,1,5,3,6,7,4,8,9,10] => 101001000 => 3
[1,3,5,6,4,2,7,8,9,10] => 000110000 => 1
[3,5,2,1,6,4,7,8,9,10] => 011010000 => 2
[2,1,3,6,4,7,8,9,5,10] => 100100010 => 3
[1,3,4,6,7,2,8,5,9,10] => 000010100 => 2
[3,2,6,1,4,7,8,5,9,10] => 101000100 => 3
[2,4,6,1,7,5,3,8,9,10] => 001011000 => 2
[4,6,3,2,1,7,5,8,9,10] => 011101000 => 2
[1,3,4,2,7,8,5,9,10,6] => 001001001 => 2
[3,2,1,7,4,5,8,9,10,6] => 110100001 => 2
[1,2,4,5,7,8,9,6,3,10] => 000000110 => 1
[4,3,7,2,1,5,8,9,6,10] => 101100010 => 3
[1,3,5,7,8,6,4,2,9,10] => 000011100 => 1
[3,5,7,2,1,8,6,4,9,10] => 001101100 => 2
[5,7,4,3,2,1,8,6,9,10] => 011110100 => 2
[2,1,5,3,8,6,9,10,7,4] => 101010011 => 3
[1,3,5,6,8,9,4,2,10,7] => 000001101 => 1
[3,5,2,8,1,6,9,4,10,7] => 010100101 => 3
[5,4,8,3,2,1,6,9,10,7] => 101110001 => 2
[2,4,6,8,1,9,7,5,3,10] => 000101110 => 2
[4,6,8,3,2,1,9,7,5,10] => 001110110 => 2
[6,8,5,4,3,2,1,9,7,10] => 011111010 => 2
[3,5,7,9,2,1,10,8,6,4] => 000110111 => 1
[5,7,9,4,3,2,1,10,8,6] => 001111011 => 1
[7,9,6,5,4,3,2,1,10,8] => 011111101 => 1
[6,2,3,8,7,1,4,5] => 1001100 => 2
[8,2,3,6,4,7,5,1] => 1001011 => 2
[7,2,3,6,4,8,1,5] => 1001010 => 3
[4,5,6,3,7,2,8,1,9] => 00101010 => 3
[1,5,6,7,4,8,3,9,2] => 00010101 => 2
[5,4,1,6,2,7,8,3] => 1101001 => 2
[7,1,3,5,4,2,8,6] => 1001101 => 2
[7,6,8,2,4,5,3,1] => 1010011 => 2
[4,2,8,6,5,1,3,7] => 1011100 => 2
[3,8,5,4,7,1,2,6] => 0110100 => 2
[1,4,8,3,6,2,7,5] => 0010101 => 2
[6,3,2,4,8,7,1,5] => 1100110 => 2
[8,3,2,7,4,1,5,6] => 1101100 => 2
[7,3,2,6,5,8,1,4] => 1101010 => 3
[3,6,2,5,7,4,8,1] => 0100101 => 2
[2,7,1,5,8,6,4,3] => 0100111 => 1
[7,2,4,1,6,8,5,3] => 1010011 => 2
[6,4,7,2,3,8,5,1] => 1010011 => 2
[6,1,8,5,7,4,2,3] => 1010110 => 3
[7,1,4,3,6,5,8,2] => 1010101 => 3
[7,1,5,6,3,4,8,2] => 1001001 => 2
[6,1,8,5,4,7,3,2] => 1011011 => 2
[7,6,1,5,4,2,8,3] => 1101101 => 2
[5,1,6,8,7,2,4,3] => 1001101 => 2
[4,6,7,5,3,1,8,2] => 0011101 => 1
[5,3,2,6,8,7,4,1] => 1100111 => 1
[5,4,6,2,8,7,3,1] => 1010111 => 2
[4,5,8,6,7,2,3,1] => 0010101 => 2
[4,5,7,6,1,2,8,3] => 0011001 => 1
[4,6,5,7,2,1,8,3] => 0101101 => 2
[2,3,7,5,6,1,10,9,4,8] => 001010110 => 3
[2,3,4,10,6,9,8,5,1,7] => 000101110 => 2
[2,3,6,5,9,10,8,4,1,7] => 001001110 => 2
[2,3,9,5,8,7,4,1,10,6] => 001011101 => 2
[2,5,4,9,6,10,8,3,1,7] => 010101110 => 3
[2,5,4,8,9,7,3,1,10,6] => 010011101 => 2
[2,3,4,10,6,7,1,9,8,5] => 000101011 => 2
[2,3,7,5,6,1,10,9,8,4] => 001010111 => 2
[2,3,4,10,6,8,9,1,7,5] => 000100101 => 2
[2,3,6,5,8,10,9,1,7,4] => 001001101 => 2
[2,3,8,5,7,9,1,10,6,4] => 001001011 => 2
[2,5,4,8,6,10,9,1,7,3] => 010101101 => 3
[2,5,4,7,8,9,1,10,6,3] => 010001011 => 2
[2,3,4,10,6,9,8,7,5,1] => 000101111 => 1
[2,3,6,5,9,10,8,7,4,1] => 001001111 => 1
[2,3,7,5,9,8,10,6,4,1] => 001010111 => 2
[2,3,9,5,8,7,6,4,1,10] => 001011110 => 2
[2,5,4,9,6,10,8,7,3,1] => 010101111 => 2
[2,5,4,9,7,8,10,6,3,1] => 010100111 => 2
[2,5,4,8,9,7,6,3,1,10] => 010011110 => 2
[2,3,4,10,7,9,8,1,6,5] => 000101101 => 2
[2,3,5,7,10,9,8,1,6,4] => 000011101 => 1
[2,3,8,6,9,7,1,10,5,4] => 001011011 => 2
[2,4,7,5,10,9,8,1,6,3] => 001011101 => 2
[2,4,6,8,9,7,1,10,5,3] => 000011011 => 1
[2,3,4,10,7,8,9,6,5,1] => 000100111 => 1
[2,3,5,7,10,8,9,6,4,1] => 000010111 => 1
[2,3,7,6,8,9,10,5,4,1] => 001000111 => 1
[2,3,9,6,7,8,5,4,1,10] => 001001110 => 2
[2,4,7,5,10,8,9,6,3,1] => 001010111 => 2
[2,4,6,7,8,9,10,5,3,1] => 000000111 => 0
[2,4,6,9,7,8,5,3,1,10] => 000101110 => 2
[2,6,5,8,9,7,10,4,3,1] => 010010111 => 2
[2,6,5,7,8,9,4,3,1,10] => 010001110 => 2
[3,7,4,5,10,9,8,1,6,2] => 010011101 => 2
[3,6,4,8,9,7,1,10,5,2] => 010011011 => 2
[3,7,4,5,10,8,9,6,2,1] => 010010111 => 2
[3,6,4,7,8,9,10,5,2,1] => 010000111 => 1
[3,6,4,9,7,8,5,2,1,10] => 010101110 => 3
[3,5,6,8,9,7,10,4,2,1] => 000010111 => 1
[3,5,6,7,8,9,4,2,1,10] => 000001110 => 1
[7,4,8,6,3,5,1,2] => 1011010 => 3
[7,2,4,3,6,1,8,5] => 1010101 => 3
[2,3,4,7,8,6,1,5] => 0000110 => 1
[6,3,7,1,4,2,8,5] => 1010101 => 3
[4,3,2,7,6,5,1,9,8,10] => 110111010 => 3
[4,3,2,1,7,6,9,8,5,10] => 111010110 => 3
[4,3,2,7,6,1,9,8,5,10] => 110110110 => 3
[4,3,2,7,6,9,8,5,1,10] => 110101110 => 3
[4,3,7,6,2,1,9,8,5,10] => 101110110 => 3
[4,3,7,6,2,9,8,5,1,10] => 101101110 => 3
[4,3,2,1,7,6,5,9,10,8] => 111011001 => 2
[4,3,2,7,6,5,1,9,10,8] => 110111001 => 2
[4,3,2,1,7,6,9,5,10,8] => 111010101 => 3
[4,3,2,7,6,1,9,5,10,8] => 110110101 => 3
[4,3,2,7,6,9,5,1,10,8] => 110101101 => 3
[4,3,7,6,2,1,9,5,10,8] => 101110101 => 3
[4,3,7,6,2,9,5,1,10,8] => 101101101 => 3
[4,3,2,1,7,6,9,10,8,5] => 111010011 => 2
[4,3,2,7,6,1,9,10,8,5] => 110110011 => 2
[4,3,2,7,6,9,1,10,8,5] => 110101011 => 3
[4,3,2,7,6,9,10,8,5,1] => 110100111 => 2
[4,3,7,6,2,1,9,10,8,5] => 101110011 => 2
[4,3,7,6,2,9,1,10,8,5] => 101101011 => 3
[4,3,7,6,2,9,10,8,5,1] => 101100111 => 2
[4,3,2,1,7,9,6,5,10,8] => 111001101 => 2
[4,3,2,7,1,9,6,5,10,8] => 110101101 => 3
[4,3,2,7,9,6,5,1,10,8] => 110011101 => 2
[4,3,7,2,1,9,6,5,10,8] => 101101101 => 3
[4,3,7,2,9,6,5,1,10,8] => 101011101 => 3
[4,3,2,1,7,9,6,10,8,5] => 111001011 => 2
[4,3,2,7,1,9,6,10,8,5] => 110101011 => 3
[4,3,2,7,9,6,1,10,8,5] => 110011011 => 2
[4,3,2,7,9,6,10,8,5,1] => 110010111 => 2
[4,3,7,2,1,9,6,10,8,5] => 101101011 => 3
[4,3,7,2,9,6,1,10,8,5] => 101011011 => 3
[4,3,7,2,9,6,10,8,5,1] => 101010111 => 3
[4,3,7,9,6,2,1,10,8,5] => 100111011 => 2
[4,3,7,9,6,2,10,8,5,1] => 100110111 => 2
[4,7,3,2,1,9,6,5,10,8] => 011101101 => 2
[4,7,3,2,9,6,5,1,10,8] => 011011101 => 2
[4,7,3,2,1,9,6,10,8,5] => 011101011 => 2
[4,7,3,2,9,6,1,10,8,5] => 011011011 => 2
[4,7,3,2,9,6,10,8,5,1] => 011010111 => 2
[4,7,3,9,6,2,1,10,8,5] => 010111011 => 2
[4,6,3,5,1,8,2,7] => 0101010 => 3
[8,5,7,6,2,3,4,1] => 1011001 => 2
[3,5,6,7,8,9,2,4,1] => 00000101 => 1
[3,4,6,7,8,2,5,1] => 0000101 => 1
[2,4,6,7,8,9,1,3,5] => 00000100 => 1
[2,5,6,7,3,8,1,4] => 0001010 => 2
[2,5,6,7,8,9,3,1,4] => 00000110 => 1
[5,8,4,6,2,1,7,3] => 0101101 => 2
[1,6,8,3,4,2,7,5] => 0010101 => 2
[4,1,7,6,2,8,3,5] => 1011010 => 3
[4,1,8,2,7,5,3,6] => 1010110 => 3
[4,1,7,2,8,5,3,6] => 1010110 => 3
[2,5,6,3,7,4,8,1] => 0010101 => 2
[2,6,5,3,8,4,7,1] => 0110101 => 2
[2,6,5,3,7,4,8,1] => 0110101 => 2
[7,1,6,3,5,4,8,2] => 1010101 => 3
[5,7,3,2,8,4,1,6] => 0110110 => 2
[2,8,6,1,7,5,3,4] => 0110110 => 2
[8,1,5,2,7,4,3,6] => 1010110 => 3
[7,1,4,2,8,5,3,6] => 1010110 => 3
[2,6,8,1,7,5,3,4] => 0010110 => 2
[1,4,6,5,3,8,2,7] => 0011010 => 2
[2,4,5,8,7,1,3,6] => 0001100 => 1
[3,1,6,8,7,5,4,2] => 1001111 => 1
[3,1,8,7,5,6,4,2] => 1011011 => 2
[5,1,8,7,6,3,4,2] => 1011101 => 2
[8,2,7,5,3,6,4,1] => 1011011 => 2
[8,7,2,3,1,5,6,4] => 1101001 => 2
[2,8,5,7,6,1,3,4] => 0101100 => 2
[1,8,7,2,6,4,5,3] => 0110101 => 2
[8,7,2,1,6,4,5,3] => 1110101 => 2
[1,8,4,7,6,2,5,3] => 0101101 => 2
[8,7,1,6,4,3,5,2] => 1101101 => 2
[8,4,1,7,3,6,5,2] => 1101011 => 2
[5,4,6,3,8,1,7,2,9] => 10101010 => 4
[1,6,5,7,4,9,2,8,3] => 01010101 => 3
[5,6,4,7,3,9,1,8,2,10] => 010101010 => 4
[5,4,8,1,7,2,6,3,9] => 10101010 => 4
[5,4,8,1,6,3,7,2,9] => 10101010 => 4
[1,6,5,9,2,8,3,7,4] => 01010101 => 3
[1,6,5,9,2,7,4,8,3] => 01010101 => 3
[1,6,7,5,8,4,10,2,9,3] => 001010101 => 3
[8,3,6,2,1,5,4,7] => 1011010 => 3
[4,5,6,7,8,9,1,10,2,3] => 000001010 => 2
[2,5,6,7,8,1,9,3,4] => 00001010 => 2
[4,5,6,7,1,2,8,3,9] => 00010010 => 2
[1,3,6,7,8,9,2,4,5] => 00000100 => 1
[3,5,6,7,8,1,2,9,4] => 00001001 => 1
[3,2,5,4,7,6,8,10,9,1] => 101010011 => 3
[3,2,5,4,6,9,7,8,10,1] => 101001001 => 3
[3,2,5,4,6,8,7,10,9,1] => 101001011 => 3
[3,2,5,4,6,7,10,8,9,1] => 101000101 => 3
[3,2,4,7,5,6,9,8,10,1] => 100100101 => 3
[3,2,4,7,5,6,8,10,9,1] => 100100011 => 2
[3,2,4,6,5,9,7,8,10,1] => 100101001 => 3
[3,2,4,6,5,8,7,10,9,1] => 100101011 => 3
[3,2,4,6,5,7,10,8,9,1] => 100100101 => 3
[3,2,4,5,9,6,7,8,10,1] => 100010001 => 2
[3,2,4,5,8,6,7,10,9,1] => 100010011 => 2
[3,2,4,5,7,6,10,8,9,1] => 100010101 => 3
[3,2,4,5,6,10,7,8,9,1] => 100001001 => 2
[2,5,3,4,7,6,9,8,10,1] => 010010101 => 3
[2,5,3,4,7,6,8,10,9,1] => 010010011 => 2
[2,5,3,4,6,9,7,8,10,1] => 010001001 => 2
[2,5,3,4,6,8,7,10,9,1] => 010001011 => 2
[2,5,3,4,6,7,10,8,9,1] => 010000101 => 2
[2,4,3,7,5,6,9,8,10,1] => 010100101 => 3
[2,4,3,7,5,6,8,10,9,1] => 010100011 => 2
[2,4,3,6,5,9,7,8,10,1] => 010101001 => 3
[2,4,3,6,5,7,10,8,9,1] => 010100101 => 3
[2,4,3,5,9,6,7,8,10,1] => 010010001 => 2
[2,4,3,5,8,6,7,10,9,1] => 010010011 => 2
[2,4,3,5,7,6,10,8,9,1] => 010010101 => 3
[2,4,3,5,6,10,7,8,9,1] => 010001001 => 2
[2,3,7,4,5,6,9,8,10,1] => 001000101 => 2
[2,3,7,4,5,6,8,10,9,1] => 001000011 => 1
[2,3,6,4,5,9,7,8,10,1] => 001001001 => 2
[2,3,6,4,5,8,7,10,9,1] => 001001011 => 2
[2,3,6,4,5,7,10,8,9,1] => 001000101 => 2
[2,3,5,4,9,6,7,8,10,1] => 001010001 => 2
[2,3,5,4,8,6,7,10,9,1] => 001010011 => 2
[2,3,5,4,7,6,10,8,9,1] => 001010101 => 3
[2,3,5,4,6,10,7,8,9,1] => 001001001 => 2
[2,3,4,9,5,6,7,8,10,1] => 000100001 => 1
[2,3,4,8,5,6,7,10,9,1] => 000100011 => 1
[2,3,4,7,5,6,10,8,9,1] => 000100101 => 2
[2,3,4,6,5,10,7,8,9,1] => 000101001 => 2
[3,2,5,4,7,6,8,11,9,10,12,1] => 10101001001 => 4
[3,2,5,4,6,9,7,8,11,10,12,1] => 10100100101 => 4
[3,2,5,4,6,8,7,11,9,10,12,1] => 10100101001 => 4
[3,2,5,4,6,8,7,9,12,10,11,1] => 10100100101 => 4
[3,2,5,4,6,7,11,8,9,10,12,1] => 10100010001 => 3
[3,2,4,7,5,6,9,8,11,10,12,1] => 10010010101 => 4
[3,2,4,7,5,6,8,11,9,10,12,1] => 10010001001 => 3
[3,2,4,6,5,9,7,8,11,10,12,1] => 10010100101 => 4
[3,2,4,6,5,8,7,11,9,10,12,1] => 10010101001 => 4
[3,2,4,6,5,8,7,9,12,10,11,1] => 10010100101 => 4
[3,2,4,6,5,7,11,8,9,10,12,1] => 10010010001 => 3
[3,2,4,6,5,7,9,8,12,10,11,1] => 10010010101 => 4
[3,2,4,6,5,7,8,12,9,10,11,1] => 10010001001 => 3
[3,2,4,5,9,6,7,8,11,10,12,1] => 10001000101 => 3
[3,2,4,5,8,6,7,11,9,10,12,1] => 10001001001 => 3
[3,2,4,5,8,6,7,9,12,10,11,1] => 10001000101 => 3
[3,2,4,5,7,6,11,8,9,10,12,1] => 10001010001 => 3
[3,2,4,5,7,6,8,12,9,10,11,1] => 10001001001 => 3
[3,2,4,5,6,11,7,8,9,10,12,1] => 10000100001 => 2
[2,5,3,4,7,6,9,8,11,10,12,1] => 01001010101 => 4
[2,5,3,4,7,6,8,11,9,10,12,1] => 01001001001 => 3
[2,5,3,4,7,6,8,9,12,10,11,1] => 01001000101 => 3
[2,5,3,4,6,9,7,8,11,10,12,1] => 01000100101 => 3
[2,5,3,4,6,8,7,11,9,10,12,1] => 01000101001 => 3
[2,5,3,4,6,8,7,9,12,10,11,1] => 01000100101 => 3
[2,5,3,4,6,7,11,8,9,10,12,1] => 01000010001 => 2
[2,4,3,7,5,6,9,8,11,10,12,1] => 01010010101 => 4
[2,4,3,7,5,6,8,11,9,10,12,1] => 01010001001 => 3
[2,4,3,6,5,9,7,8,11,10,12,1] => 01010100101 => 4
[2,4,3,6,5,8,7,11,9,10,12,1] => 01010101001 => 4
[2,4,3,6,5,8,7,9,12,10,11,1] => 01010100101 => 4
[2,4,3,6,5,7,11,8,9,10,12,1] => 01010010001 => 3
[2,4,3,6,5,7,9,8,12,10,11,1] => 01010010101 => 4
[2,4,3,6,5,7,8,12,9,10,11,1] => 01010001001 => 3
[2,4,3,5,9,6,7,8,11,10,12,1] => 01001000101 => 3
[2,4,3,5,8,6,7,11,9,10,12,1] => 01001001001 => 3
[2,4,3,5,8,6,7,9,12,10,11,1] => 01001000101 => 3
[2,4,3,5,7,6,11,8,9,10,12,1] => 01001010001 => 3
[2,4,3,5,7,6,9,8,12,10,11,1] => 01001010101 => 4
[2,4,3,5,7,6,8,12,9,10,11,1] => 01001001001 => 3
[2,4,3,5,6,11,7,8,9,10,12,1] => 01000100001 => 2
[2,4,3,5,6,9,7,8,12,10,11,1] => 01000100101 => 3
[2,4,3,5,6,8,7,12,9,10,11,1] => 01000101001 => 3
[2,4,3,5,6,7,12,8,9,10,11,1] => 01000010001 => 2
[2,3,7,4,5,6,9,8,11,10,12,1] => 00100010101 => 3
[2,3,7,4,5,6,8,11,9,10,12,1] => 00100001001 => 2
[2,3,6,4,5,9,7,8,11,10,12,1] => 00100100101 => 3
[2,3,6,4,5,8,7,11,9,10,12,1] => 00100101001 => 3
[2,3,6,4,5,8,7,9,12,10,11,1] => 00100100101 => 3
[2,3,6,4,5,7,11,8,9,10,12,1] => 00100010001 => 2
[2,3,6,4,5,7,9,8,12,10,11,1] => 00100010101 => 3
[2,3,6,4,5,7,8,12,9,10,11,1] => 00100001001 => 2
[2,3,5,4,9,6,7,8,11,10,12,1] => 00101000101 => 3
[2,3,5,4,8,6,7,11,9,10,12,1] => 00101001001 => 3
[2,3,5,4,8,6,7,9,12,10,11,1] => 00101000101 => 3
[2,3,5,4,7,6,11,8,9,10,12,1] => 00101010001 => 3
[2,3,5,4,7,6,8,12,9,10,11,1] => 00101001001 => 3
[2,3,5,4,6,11,7,8,9,10,12,1] => 00100100001 => 2
[2,3,5,4,6,9,7,8,12,10,11,1] => 00100100101 => 3
[2,3,5,4,6,8,7,12,9,10,11,1] => 00100101001 => 3
[2,3,5,4,6,7,12,8,9,10,11,1] => 00100010001 => 2
[2,3,4,9,5,6,7,8,11,10,12,1] => 00010000101 => 2
[2,3,4,8,5,6,7,11,9,10,12,1] => 00010001001 => 2
[2,3,4,8,5,6,7,9,12,10,11,1] => 00010000101 => 2
[2,3,4,7,5,6,11,8,9,10,12,1] => 00010010001 => 2
[2,3,4,7,5,6,8,12,9,10,11,1] => 00010001001 => 2
[2,3,4,6,5,11,7,8,9,10,12,1] => 00010100001 => 2
[2,3,4,6,5,7,12,8,9,10,11,1] => 00010010001 => 2
[2,3,4,5,11,6,7,8,9,10,12,1] => 00001000001 => 1
[1,7,3,6,8,2,5,4] => 0100101 => 2
[4,5,1,8,7,3,6,2] => 0101101 => 2
[3,8,5,2,6,7,4,1] => 0110011 => 1
[3,6,4,7,5,2,1,8] => 0101110 => 2
[5,7,4,1,2,6,8,3] => 0110001 => 1
[2,8,6,7,5,3,1,4] => 0101110 => 2
[7,4,5,2,6,3,1,8] => 1010110 => 3
[8,6,3,4,5,1,7,2] => 1100101 => 2
[8,6,3,5,4,1,7,2] => 1101101 => 2
[8,7,4,5,1,3,6,2] => 1101001 => 2
[8,6,2,5,3,1,4,7] => 1101100 => 2
[8,4,7,3,1,2,5,6] => 1011000 => 2
[8,7,3,5,1,6,4,2] => 1101011 => 2
[4,8,3,2,6,1,7,5] => 0110101 => 2
[4,3,7,6,1,5,2,8] => 1011010 => 3
[7,5,4,3,6,1,8,2] => 1110101 => 2
[4,6,8,5,3,1,2,7] => 0011100 => 1
[5,6,8,4,3,7,2,1] => 0011011 => 1
[7,5,8,4,2,1,6,3] => 1011101 => 2
[1,4,8,7,6,2,5,3] => 0011101 => 1
[7,2,4,1,5,3,8,6] => 1010101 => 3
[8,5,3,4,1,7,2,6] => 1101010 => 3
[2,8,5,4,3,6,1,7] => 0111010 => 2
[8,6,5,3,1,2,7,4] => 1111001 => 1
[7,4,6,5,3,2,8,1] => 1011101 => 2
[5,6,7,2,3,8,4,1] => 0010011 => 1
[8,4,2,6,5,7,3,1] => 1101011 => 2
[1,7,4,2,8,5,6,3] => 0110101 => 2
[3,2,1,7,4,6,8,5] => 1101001 => 2
[6,2,5,7,1,4,3,8] => 1001010 => 3
[4,8,5,3,1,2,6,7] => 0111000 => 1
[8,5,2,4,6,1,3,7] => 1100100 => 2
[1,5,3,4,7,2,6,8] => 0100100 => 2
[8,4,6,1,5,7,3,2] => 1010011 => 2
[6,4,7,2,1,3,8,5] => 1011001 => 2
[6,7,3,1,2,4,8,5] => 0110001 => 1
[3,1,8,7,6,2,5,4] => 1011101 => 2
[1,3,8,6,7,2,5,4] => 0010101 => 2
[5,2,3,6,1,8,4,7] => 1001010 => 3
[3,2,6,4,7,1,5,8] => 1010100 => 3
[3,6,2,5,7,8,4,1] => 0100011 => 1
[2,7,4,6,8,3,5,1] => 0100101 => 2
[3,7,6,8,1,5,4,2] => 0101011 => 2
[1,5,7,6,8,4,2,3] => 0010110 => 2
[2,7,4,6,8,5,3,1] => 0100111 => 1
[3,7,6,8,5,1,4,2] => 0101101 => 2
[7,1,3,8,6,2,4,5] => 1001100 => 2
[2,7,1,8,6,5,3,4] => 0101110 => 2
[2,3,4,5,7,6,8,9,1] => 00001001 => 1
[2,3,4,5,7,8,6,9,1] => 00000101 => 1
[2,3,4,5,8,7,6,9,1] => 00001101 => 1
[2,3,4,5,7,9,8,6,1] => 00000111 => 0
[4,5,6,3,7,8,9,2,1] => 00100011 => 1
[3,4,5,6,2,7,8,9,10,1] => 000100001 => 1
[2,4,5,6,3,7,8,9,10,1] => 000100001 => 1
[2,3,5,6,4,7,8,9,10,1] => 000100001 => 1
[8,1,5,2,6,4,7,3] => 1010101 => 3
[4,6,7,5,1,2,3,8] => 0011000 => 1
[5,3,4,7,6,2,1,8] => 1001110 => 2
[4,1,8,5,7,2,6,3] => 1010101 => 3
[4,1,8,2,7,5,6,3] => 1010101 => 3
[7,6,8,2,4,3,5,1] => 1010101 => 3
[7,4,5,3,8,1,6,2] => 1010101 => 3
[7,3,6,1,4,2,8,5] => 1010101 => 3
[8,7,2,6,4,5,1,3] => 1101010 => 3
[1,2,3,4,7,9,5,6,8] => 00000100 => 1
[1,2,3,4,6,7,9,5,8] => 00000010 => 1
[1,2,3,4,8,5,6,9,7] => 00001001 => 1
[1,2,3,4,7,8,5,9,6] => 00000101 => 1
[2,6,4,8,3,5,1,7] => 0101010 => 3
[1,4,8,5,3,2,7,6] => 0011101 => 1
[3,5,8,4,6,7,1,2] => 0010010 => 2
[1,2,4,8,5,7,3,6] => 0001010 => 2
[7,3,4,1,8,2,5,6] => 1010100 => 3
[5,6,3,1,8,2,4,7] => 0110100 => 2
[7,3,6,5,1,8,4,2] => 1011011 => 2
[5,7,2,1,4,8,6,3] => 0110011 => 1
[7,6,3,5,2,1,8,4] => 1101101 => 2
[7,3,2,5,1,6,8,4] => 1101001 => 2
[3,5,1,7,6,4,8,2] => 0101101 => 2
[8,7,4,2,1,6,5,3] => 1111011 => 1
[5,4,7,6,2,1,8,3] => 1011101 => 2
[3,5,2,8,7,1,6,4] => 0101101 => 2
[3,7,6,5,4,1,8,2] => 0111101 => 1
[4,6,5,3,1,8,7,2] => 0111011 => 1
[4,5,2,6,7,3,8,1] => 0100101 => 2
[9,3,10,1,2,4,5,6,7,8] => 101000000 => 2
[10,3,1,9,2,4,5,6,7,8] => 110100000 => 2
[3,1,4,10,2,5,6,7,8,9] => 100100000 => 2
[8,6,7,4,3,1,5,2] => 1011101 => 2
[4,7,1,8,5,3,2,6] => 0101110 => 2
[8,6,7,1,4,3,5,2] => 1010101 => 3
[8,6,7,2,1,3,5,4] => 1011001 => 2
[8,5,6,1,7,4,2,3] => 1010110 => 3
[6,4,1,2,5,7,8,3] => 1100001 => 1
[6,1,5,4,2,7,3,8] => 1011010 => 3
[6,4,2,3,1,7,5,8] => 1101010 => 3
[3,4,6,1,8,2,7,5] => 0010101 => 2
[5,3,1,4,7,6,2,8] => 1100110 => 2
[6,4,5,2,7,1,3,8] => 1010100 => 3
[7,4,3,5,1,6,2,8] => 1101010 => 3
[7,5,3,6,2,1,4,8] => 1101100 => 2
[6,4,3,7,1,8,2,5] => 1101010 => 3
[3,1,2,7,6,4,5,8] => 1001100 => 2
[5,1,2,7,6,3,4,8] => 1001100 => 2
[5,6,1,7,2,4,3,8] => 0101010 => 3
[3,5,6,8,1,2,7,4] => 0001001 => 1
[2,6,5,7,1,3,4,8] => 0101000 => 2
[2,3,7,1,5,6,4,8] => 0010010 => 2
[2,6,5,3,4,1,7,8] => 0110100 => 2
[2,6,1,3,5,4,7,8] => 0100100 => 2
[4,6,1,5,2,8,7,3] => 0101011 => 2
[6,1,5,4,2,7,8,3] => 1011001 => 2
[4,6,1,5,2,7,8,3] => 0101001 => 2
[2,8,6,5,1,3,7,4] => 0111001 => 1
[5,1,8,6,2,7,4,3] => 1011011 => 2
[3,6,8,2,7,5,1,4] => 0010110 => 2
[5,6,4,1,7,2,8,3] => 0110101 => 2
[8,1,6,3,4,2,5,7] => 1010100 => 3
[7,4,2,3,1,6,8,5] => 1101001 => 2
[9,8,10,7,6,5,4,3,1,2] => 101111110 => 2
[8,7,9,6,5,4,2,1,3] => 10111110 => 2
[8,9,7,6,5,4,2,1,3] => 01111110 => 1
[8,9,7,6,5,4,2,3,1] => 01111101 => 1
[8,9,1,2,3,4,5,6,10,11,7] => 0100000001 => 1
[10,7,1,2,3,4,8,9,5,6] => 110000010 => 2
[1,6,4,5,7,3,2,8] => 0100110 => 2
[1,6,4,5,7,2,8,3] => 0100101 => 2
[1,7,5,6,4,8,3,2] => 0101011 => 2
[1,5,6,7,3,2,4,8] => 0001100 => 1
[8,2,4,3,1,7,5,6] => 1011010 => 3
[8,2,1,4,3,7,5,6] => 1101010 => 3
[7,6,8,2,1,5,3,4] => 1011010 => 3
[8,6,2,5,1,3,7,4] => 1101001 => 2
[5,7,2,6,4,1,8,3] => 0101101 => 2
[4,5,6,1,3,8,2,7] => 0010010 => 2
[6,3,5,7,4,2,8,1] => 1001101 => 2
[7,6,4,8,5,3,1,2] => 1101110 => 2
[8,2,1,6,4,7,3,5] => 1101010 => 3
[1,3,8,6,5,2,7,4] => 0011101 => 1
[2,7,3,8,5,6,4,1] => 0101011 => 2
[1,2,8,5,7,4,6,3] => 0010101 => 2
[1,6,8,5,4,7,2,3] => 0011010 => 2
[5,7,1,8,3,2,6,4] => 0101101 => 2
[2,1,3,8,6,4,7,5] => 1001101 => 2
[8,2,5,4,3,7,1,6] => 1011010 => 3
[5,8,4,3,7,6,2,1] => 0110111 => 1
[8,1,5,3,4,7,2,6] => 1010010 => 3
[6,1,8,7,4,5,3,2] => 1011011 => 2
[1,5,8,6,4,3,7,2] => 0011101 => 1
[5,8,6,4,2,1,7,3] => 0111101 => 1
[2,6,1,8,4,7,5,3] => 0101011 => 2
[5,3,8,6,1,2,7,4] => 1011001 => 2
[5,8,1,4,6,2,7,3] => 0100101 => 2
[3,7,6,2,1,4,8,5] => 0111001 => 1
[4,6,2,3,7,1,8,5] => 0100101 => 2
[6,8,7,5,1,3,4,2] => 0111001 => 1
[6,4,3,2,7,8,5,1] => 1110011 => 1
[2,7,6,1,5,3,8,4] => 0110101 => 2
[7,8,6,4,2,5,3,1] => 0111011 => 1
[6,4,5,8,7,1,3,2] => 1001101 => 2
[6,4,1,7,8,3,2,5] => 1100110 => 2
[2,3,4,5,8,6,7,9,1] => 00001001 => 1
[2,3,4,5,9,6,8,7,1] => 00001011 => 1
[9,3,4,5,2,6,7,8,1] => 10010001 => 2
[6,2,3,4,5,7,8,9,10,1] => 100000001 => 1
[2,6,3,4,5,7,8,9,10,1] => 010000001 => 1
[2,3,6,4,5,7,8,9,10,1] => 001000001 => 1
[6,4,3,8,7,2,5,1] => 1101101 => 2
[5,4,7,2,1,3,8,6] => 1011001 => 2
[7,8,2,3,4,5,1,6,9] => 01000100 => 2
[1,8,9,3,4,5,6,2,7] => 00100010 => 2
[2,6,4,5,7,1,8,3] => 0100101 => 2
[3,7,4,6,1,5,8,2] => 0101001 => 2
[3,4,6,5,2,8,1,7] => 0011010 => 2
[4,6,7,5,8,2,1,3] => 0010110 => 2
[2,5,7,6,4,1,8,3] => 0011101 => 1
[5,1,4,6,2,7,8,3] => 1001001 => 2
[1,2,5,3,7,8,6,4] => 0010011 => 1
[4,8,3,5,1,2,7,6] => 0101001 => 2
[6,1,3,7,2,8,4,5] => 1001010 => 3
[3,8,5,4,1,7,2,6] => 0111010 => 2
[3,1,5,8,2,6,7,4] => 1001001 => 2
[2,8,5,3,1,7,4,6] => 0111010 => 2
[6,5,2,3,7,1,8,4] => 1100101 => 2
[7,2,1,6,4,8,3,5] => 1101010 => 3
[2,1,3,7,5,8,4,6] => 1001010 => 3
[6,2,4,5,7,1,8,3] => 1000101 => 2
[2,3,8,7,1,4,6,5] => 0011001 => 1
[4,2,7,5,6,8,1,3] => 1010010 => 3
[2,1,3,4,5,8,6,7,9] => 10000100 => 2
[6,8,2,5,4,7,3,1] => 0101011 => 2
[9,2,3,4,5,1,6,7,8] => 10001000 => 2
[7,2,3,4,5,6,9,1,8] => 10000010 => 2
[10,2,3,4,5,6,7,1,8,9] => 100000100 => 2
[6,2,3,4,5,9,1,7,8] => 10000100 => 2
[10,2,3,4,5,6,1,7,8,9] => 100001000 => 2
[5,2,3,4,9,1,6,7,8] => 10001000 => 2
[10,2,3,4,5,1,6,7,8,9] => 100010000 => 2
[4,2,3,9,1,5,6,7,8] => 10010000 => 2
[10,2,3,4,1,5,6,7,8,9] => 100100000 => 2
[3,2,9,1,4,5,6,7,8] => 10100000 => 2
[2,7,6,3,8,4,5,1] => 0110101 => 2
[4,6,8,2,3,1,7,5] => 0010101 => 2
[4,7,2,3,5,1,8,6] => 0100101 => 2
[6,4,2,1,3,7,5,8] => 1110010 => 2
[2,8,1,3,4,5,6,10,7,9] => 010000010 => 2
[10,7,1,2,3,4,5,9,6,8] => 110000010 => 2
[5,3,2,7,6,1,8,4] => 1101101 => 2
[5,6,4,2,8,7,1,3] => 0110110 => 2
[5,7,4,2,6,1,8,3] => 0110101 => 2
[5,4,7,1,6,2,8,3] => 1010101 => 3
[4,5,8,7,6,2,1,3] => 0011110 => 1
[6,4,7,1,2,3,8,5] => 1010001 => 2
[4,5,6,8,2,9,3,10,7,1] => 000101011 => 2
[10,4,5,6,9,3,8,2,7,1] => 100010101 => 3
[4,5,10,6,9,3,8,2,7,1] => 001010101 => 3
[4,5,8,2,6,10,9,3,7,1] => 001001101 => 2
[10,6,9,5,4,3,8,2,7,1] => 101110101 => 3
[8,2,6,10,9,5,4,3,7,1] => 100111101 => 2
[8,2,10,4,5,6,7,1,9,3] => 101000101 => 3
[4,5,6,8,2,10,7,1,9,3] => 000101101 => 2
[10,4,5,6,8,2,7,1,9,3] => 100010101 => 3
[4,5,10,6,8,2,7,1,9,3] => 001010101 => 3
[4,5,10,8,2,6,7,1,9,3] => 001100101 => 2
[10,6,8,2,7,1,9,5,4,3] => 101010111 => 3
[10,8,2,6,7,1,9,5,4,3] => 110010111 => 2
[8,2,7,1,9,3,10,4,5,6] => 101010100 => 4
[4,5,8,2,7,1,9,3,10,6] => 001010101 => 3
[4,5,9,3,10,7,1,8,2,6] => 001011010 => 3
[4,5,7,1,9,3,8,2,6,10] => 001010100 => 3
[8,2,7,1,9,5,4,3,10,6] => 101011101 => 3
[9,5,4,3,10,7,1,8,2,6] => 111011010 => 3
[7,1,9,5,4,3,8,2,6,10] => 101110100 => 3
[8,2,6,10,4,5,7,1,9,3] => 100100101 => 3
[4,8,2,6,10,5,7,1,9,3] => 010010101 => 3
[4,10,8,2,5,6,7,1,9,3] => 011000101 => 2
[8,2,6,10,5,7,1,9,4,3] => 100101011 => 3
[10,8,2,5,6,7,1,9,4,3] => 110001011 => 2
[9,3,10,4,5,7,1,8,2,6] => 101001010 => 4
[4,9,3,10,5,7,1,8,2,6] => 010101010 => 4
[4,9,3,10,7,1,8,2,5,6] => 010110100 => 3
[4,7,1,9,3,8,2,5,6,10] => 010101000 => 3
[9,4,3,10,5,7,1,8,2,6] => 110101010 => 4
[9,4,3,10,7,1,8,2,5,6] => 110110100 => 3
[7,1,9,4,3,8,2,5,6,10] => 101101000 => 3
[5,10,7,1,8,2,4,3,9,6] => 011010101 => 3
[5,7,1,8,2,4,3,9,6,10] => 010101010 => 4
[10,5,7,1,9,4,2,6,8,3] => 101011001 => 3
[9,4,2,5,6,7,1,10,8,3] => 110001011 => 2
[10,5,7,1,8,3,9,4,2,6] => 101010110 => 4
[10,7,1,8,3,9,4,2,5,6] => 110101100 => 3
[7,1,8,3,9,4,2,5,6,10] => 101011000 => 3
[4,2,5,10,7,1,8,3,9,6] => 100110101 => 3
[4,2,5,7,1,8,3,9,6,10] => 100101010 => 4
[1,8,7,2,3,4,6,5] => 0110001 => 1
[1,8,3,7,6,2,5,4] => 0101101 => 2
[1,3,8,2,5,6,4,7] => 0010010 => 2
[1,3,2,7,4,6,8,5] => 0101001 => 2
[1,3,8,4,6,2,7,5] => 0010101 => 2
[8,2,3,6,7,4,5,1] => 1000101 => 2
[5,6,4,2,1,7,3,8] => 0111010 => 2
[2,5,7,6,3,8,4,1] => 0011011 => 1
[6,4,7,1,2,5,3,8] => 1010010 => 3
[4,5,6,7,8,9,1,2,10,3] => 000001001 => 1
[4,5,6,7,8,1,3,9,2] => 00001001 => 1
[1,2,7,5,8,6,3,4] => 0010110 => 2
[2,1,9,8,7,6,5,3,4] => 10111110 => 2
[2,1,9,8,7,6,4,3,5] => 10111110 => 2
[2,1,9,8,7,6,3,5,4] => 10111101 => 2
[2,1,10,9,8,7,6,5,3,4] => 101111110 => 2
[7,4,5,1,6,8,2,3] => 1010010 => 3
[1,7,8,4,2,6,3,5] => 0011010 => 2
[6,3,2,5,7,4,1,8] => 1100110 => 2
[6,2,1,5,3,7,8,4] => 1101001 => 2
[6,2,5,1,3,8,7,4] => 1010011 => 2
[6,2,8,5,1,3,7,4] => 1011001 => 2
[10,9,7,3,6,1,2,4,8,5] => 111010001 => 2
[9,7,3,6,1,2,4,10,8,5] => 110100011 => 2
[7,3,10,9,6,1,2,4,8,5] => 101110001 => 2
[7,3,9,6,1,2,4,10,8,5] => 101100011 => 2
[9,6,1,2,4,10,7,3,8,5] => 110001101 => 2
[8,4,10,9,7,3,6,1,2,5] => 101110100 => 3
[10,8,4,9,7,3,6,1,2,5] => 110110100 => 3
[7,3,8,4,10,9,6,1,2,5] => 101011100 => 3
[7,3,10,8,4,9,6,1,2,5] => 101101100 => 3
[10,7,3,8,4,9,6,1,2,5] => 110101100 => 3
[6,1,2,7,3,8,4,10,9,5] => 100101011 => 3
[6,1,2,7,3,10,8,4,9,5] => 100101101 => 3
[6,1,2,10,7,3,8,4,9,5] => 100110101 => 3
[10,6,1,2,7,3,8,4,9,5] => 110010101 => 3
[6,1,3,10,9,7,2,4,8,5] => 100111001 => 2
[6,1,3,9,7,2,4,10,8,5] => 100110011 => 2
[10,9,6,1,3,7,2,4,8,5] => 111001001 => 2
[9,6,1,3,7,2,4,10,8,5] => 110010011 => 2
[10,7,2,4,9,6,1,3,8,5] => 110011001 => 2
[6,1,3,8,4,10,9,7,2,5] => 100101110 => 3
[6,1,3,10,8,4,9,7,2,5] => 100110110 => 3
[8,4,10,9,6,1,3,7,2,5] => 101110010 => 3
[10,8,4,9,6,1,3,7,2,5] => 110110010 => 3
[9,6,1,3,8,4,10,7,2,5] => 110010110 => 3
[7,2,6,1,3,8,4,10,9,5] => 101001011 => 3
[7,2,6,1,3,10,8,4,9,5] => 101001101 => 3
[10,7,2,6,1,3,8,4,9,5] => 110100101 => 3
[7,2,10,6,1,3,8,4,9,5] => 101100101 => 3
[8,3,6,1,4,10,9,7,2,5] => 101001110 => 3
[10,8,3,6,1,4,9,7,2,5] => 110100110 => 3
[10,9,6,1,4,8,3,7,2,5] => 111001010 => 3
[9,6,1,4,10,8,3,7,2,5] => 110011010 => 3
[8,3,9,6,1,4,10,7,2,5] => 101100110 => 3
[8,3,7,2,6,1,4,10,9,5] => 101010011 => 3
[10,8,3,7,2,6,1,4,9,5] => 110101001 => 3
[8,3,10,7,2,6,1,4,9,5] => 101101001 => 3
[7,2,8,3,10,6,1,4,9,5] => 101011001 => 3
[9,4,10,8,3,7,2,6,1,5] => 101101010 => 4
[8,3,9,4,10,7,2,6,1,5] => 101011010 => 4
[7,2,8,3,9,4,10,6,1,5] => 101010110 => 4
[4,1,7,8,3,6,5,2] => 1001011 => 2
[6,4,2,1,7,3,5,8] => 1110100 => 2
[5,8,4,2,1,3,6,7] => 0111000 => 1
[4,5,3,6,7,8,9,1,2] => 01000010 => 2
[5,3,4,6,7,8,9,1,2] => 10000010 => 2
[1,7,5,8,4,3,6,2] => 0101101 => 2
[5,8,1,6,4,7,2,3] => 0101010 => 3
[2,4,7,5,1,8,6,3] => 0011011 => 1
[2,3,7,1,8,5,6,4] => 0010101 => 2
[6,5,1,2,7,4,8,3] => 1100101 => 2
[3,6,5,7,8,2,4,1] => 0100101 => 2
[3,6,5,1,8,7,4,2] => 0110111 => 1
[7,8,1,2,5,4,3,6] => 0100110 => 2
[2,8,4,3,5,1,7,6] => 0110101 => 2
[5,2,4,7,6,8,1,3] => 1001010 => 3
[3,1,5,7,4,8,6,2] => 1001011 => 2
[4,1,7,6,8,2,5,3] => 1010101 => 3
[7,2,6,4,1,5,3,8] => 1011010 => 3
[1,2,6,5,8,3,7,4] => 0010101 => 2
[7,3,5,6,1,4,2,8] => 1001010 => 3
[5,8,3,1,6,7,4,2] => 0110011 => 1
[4,5,8,1,7,3,6,2] => 0010101 => 2
[4,7,1,6,8,5,2,3] => 0100110 => 2
[5,8,7,1,6,4,2,3] => 0110110 => 2
[1,7,3,8,2,5,4,6] => 0101010 => 3
[8,4,1,3,6,7,5,2] => 1100011 => 1
[5,3,1,8,6,7,4,2] => 1101011 => 2
[6,2,7,1,4,3,5,8] => 1010100 => 3
[9,5,4,3,2,1,6,7,8] => 11111000 => 1
[10,3,4,1,2,5,6,7,8,9] => 101000000 => 2
[8,3,2,6,5,1,7,4] => 1101101 => 2
[7,3,2,6,5,1,4,8] => 1101100 => 2
[2,6,8,4,7,1,3,5] => 0010100 => 2
[7,8,6,3,2,5,4,1] => 0111011 => 1
[5,2,8,6,3,1,4,7] => 1011100 => 2
[1,6,4,8,2,3,5,7] => 0101000 => 2
[2,8,5,6,4,1,7,3] => 0101101 => 2
[1,4,7,3,5,8,6,2] => 0010011 => 1
[3,7,8,2,5,1,6,4] => 0010101 => 2
[8,6,1,4,3,2,7,5] => 1101101 => 2
[7,3,8,2,4,1,5,6] => 1010100 => 3
[6,3,7,8,1,2,5,4] => 1001001 => 2
[7,6,1,5,2,3,8,4] => 1101001 => 2
[5,1,8,6,7,2,3,4] => 1010100 => 3
[5,7,1,6,8,2,3,4] => 0100100 => 2
[6,8,4,2,1,7,3,5] => 0111010 => 2
[6,3,2,8,1,7,4,5] => 1101010 => 3
[6,4,1,3,7,8,5,2] => 1100011 => 1
[6,8,5,4,3,7,1,2] => 0111010 => 2
[5,7,4,8,3,1,2,6] => 0101100 => 2
[6,1,2,4,8,3,7,5] => 1000101 => 2
[2,5,6,8,1,4,7,3] => 0001001 => 1
[7,4,1,6,5,2,3,8] => 1101100 => 2
[4,1,6,5,2,3,8,7] => 1011001 => 2
[4,5,1,7,8,6,2,3] => 0100110 => 2
[8,5,7,3,4,6,2,1] => 1010011 => 2
[6,8,7,4,3,5,2,1] => 0111011 => 1
[6,8,7,5,3,4,2,1] => 0111011 => 1
[5,8,6,2,4,7,3,1] => 0110011 => 1
[4,8,6,2,5,7,3,1] => 0110011 => 1
[1,6,4,7,5,3,2,8] => 0101110 => 2
[1,6,5,3,2,7,4,8] => 0111010 => 2
[1,6,8,7,4,5,3,2] => 0011011 => 1
[1,4,7,5,3,2,6,8] => 0011100 => 1
[1,7,5,4,3,2,8,6] => 0111101 => 1
[1,4,7,5,3,2,8,6] => 0011101 => 1
[1,7,4,6,8,5,3,2] => 0100111 => 1
[6,8,7,2,3,5,4,1] => 0110011 => 1
[5,7,6,1,8,2,4,3] => 0110101 => 2
[4,8,6,5,7,2,3,1] => 0110101 => 2
[2,7,8,5,1,4,3,6] => 0011010 => 2
[8,5,6,2,4,7,3,1] => 1010011 => 2
[3,5,8,4,2,6,1,7] => 0011010 => 2
[8,1,3,6,4,5,2,7] => 1001010 => 3
[1,2,3,7,4,8,5,9,6] => 00010101 => 2
[1,2,3,4,7,5,9,8,6] => 00001011 => 1
[1,2,6,3,7,4,9,8,5] => 00101011 => 2
[1,2,3,8,6,4,9,7,5] => 00011011 => 1
[1,2,3,6,4,9,8,7,5] => 00010111 => 1
[5,1,6,2,7,3,9,8,4] => 10101011 => 3
[1,5,2,8,6,3,9,7,4] => 01011011 => 2
[1,5,2,6,3,9,8,7,4] => 01010111 => 2
[1,2,7,5,3,9,8,6,4] => 00110111 => 1
[1,2,5,3,9,8,7,6,4] => 00101111 => 1
[4,1,7,5,2,9,8,6,3] => 10110111 => 2
[4,1,5,2,9,8,7,6,3] => 10101111 => 2
[1,6,4,2,9,8,7,5,3] => 01101111 => 1
[1,4,2,9,8,7,6,5,3] => 01011111 => 1
[7,5,3,1,9,8,6,4,2] => 11101111 => 1
[5,3,1,9,8,7,6,4,2] => 11011111 => 1
[1,2,3,4,8,5,9,6,10,7] => 000010101 => 2
[1,2,3,4,5,8,6,10,9,7] => 000001011 => 1
[1,2,3,7,4,8,5,10,9,6] => 000101011 => 2
[1,2,3,4,9,7,5,10,8,6] => 000011011 => 1
[1,2,3,4,7,5,10,9,8,6] => 000010111 => 1
[1,6,2,7,3,8,4,10,9,5] => 010101011 => 3
[1,2,6,3,9,7,4,10,8,5] => 001011011 => 2
[1,2,6,3,7,4,10,9,8,5] => 001010111 => 2
[1,2,3,8,6,4,10,9,7,5] => 000110111 => 1
[1,2,3,6,4,10,9,8,7,5] => 000101111 => 1
[5,1,6,2,9,7,3,10,8,4] => 101011011 => 3
[5,1,6,2,7,3,10,9,8,4] => 101010111 => 3
[1,5,2,6,3,10,9,8,7,4] => 010101111 => 2
[1,2,7,5,3,10,9,8,6,4] => 001101111 => 1
[1,2,5,3,10,9,8,7,6,4] => 001011111 => 1
[7,4,1,8,5,2,10,9,6,3] => 110110111 => 2
[4,1,9,7,5,2,10,8,6,3] => 101110111 => 2
[4,1,7,5,2,10,9,8,6,3] => 101101111 => 2
[4,1,5,2,10,9,8,7,6,3] => 101011111 => 2
[1,8,6,4,2,10,9,7,5,3] => 011101111 => 1
[1,6,4,2,10,9,8,7,5,3] => 011011111 => 1
[1,4,2,10,9,8,7,6,5,3] => 010111111 => 1
[7,5,3,1,10,9,8,6,4,2] => 111011111 => 1
[5,3,1,10,9,8,7,6,4,2] => 110111111 => 1
[4,3,1,6,2,5,8,7] => 1101001 => 2
[7,5,2,1,8,4,3,6] => 1110110 => 2
[5,3,1,4,7,8,2,6] => 1100010 => 2
[7,1,2,4,8,3,5,6] => 1000100 => 2
[8,6,1,3,5,7,4,2] => 1100011 => 1
[7,1,5,8,2,3,4,6] => 1001000 => 2
[3,6,8,5,1,4,2,7] => 0011010 => 2
[5,2,4,1,6,8,3,7] => 1010010 => 3
[2,5,3,4,6,8,1,7] => 0100010 => 2
[4,7,1,2,5,6,3,8] => 0100010 => 2
[6,7,3,1,8,2,4,5] => 0110100 => 2
[7,3,1,4,6,2,8,5] => 1100101 => 2
[7,4,1,2,5,6,3,8] => 1100010 => 2
[5,4,1,3,6,8,7,2] => 1100011 => 1
[5,7,4,8,1,6,3,2] => 0101011 => 2
[4,3,1,2,5,7,6,8] => 1100010 => 2
[2,3,4,5,8,7,6,1,9] => 00001110 => 1
[1,3,4,5,6,9,8,7,2] => 00000111 => 0
[1,2,3,4,5,8,9,7,6] => 00000011 => 0
[1,2,3,4,8,9,6,7,5] => 00000101 => 1
[1,2,3,8,9,5,6,7,4] => 00001001 => 1
[1,2,4,7,8,5,6,3] => 0000101 => 1
[1,2,8,9,4,5,6,7,3] => 00010001 => 1
[8,3,6,5,7,4,2,1] => 1010111 => 2
[8,2,6,5,7,4,3,1] => 1010111 => 2
[8,4,7,1,5,2,6,3] => 1010101 => 3
[8,2,6,3,7,5,4,1] => 1010111 => 2
[8,2,5,3,7,6,4,1] => 1010111 => 2
[8,5,7,1,4,3,6,2] => 1010101 => 3
[5,3,1,8,4,2,6,7] => 1101100 => 2
[4,5,3,6,8,7,1,2] => 0100110 => 2
[2,1,6,5,8,7,3,4] => 1010110 => 3
[6,1,5,4,7,3,8,2] => 1010101 => 3
[9,4,2,3,5,6,7,8,1] => 11000001 => 1
[3,1,8,4,2,7,6,5] => 1011011 => 2
[2,8,7,4,1,3,6,5] => 0111001 => 1
[8,2,3,1,7,6,4,5] => 1010110 => 3
[8,7,2,3,1,6,4,5] => 1101010 => 3
[7,2,5,8,3,1,4,6] => 1001100 => 2
[6,8,2,3,1,7,4,5] => 0101010 => 3
[8,2,5,7,3,1,4,6] => 1001100 => 2
[8,2,7,3,1,4,5,6] => 1011000 => 2
[5,3,2,8,7,1,6,4] => 1101101 => 2
[8,6,7,4,1,3,5,2] => 1011001 => 2
[4,1,3,6,5,2,8,7] => 1001101 => 2
[4,6,3,2,5,1,8,7] => 0110101 => 2
[4,8,3,2,6,5,7,1] => 0110101 => 2
[4,8,3,6,5,2,7,1] => 0101101 => 2
[8,1,6,2,5,4,7,3] => 1010101 => 3
[2,4,3,8,6,1,7,5] => 0101101 => 2
[2,6,3,8,5,4,7,1] => 0101101 => 2
[6,1,3,2,5,8,7,4] => 1010011 => 2
[6,8,4,2,5,3,7,1] => 0110101 => 2
[6,8,4,3,5,2,7,1] => 0110101 => 2
[8,1,4,6,5,3,7,2] => 1001101 => 2
[1,4,2,5,6,7,9,8,3] => 01000011 => 1
[2,3,4,5,6,7,8,9,1,11,10] => 0000000101 => 1
[2,1,4,5,6,9,7,3,8] => 10000110 => 2
[3,5,4,6,1,2,8,7] => 0101001 => 2
[3,1,5,2,9,6,7,8,4] => 10101001 => 3
[4,5,1,6,8,7,9,2,3] => 01001010 => 3
[1,4,2,5,6,7,8,10,9,3] => 010000011 => 1
[3,4,1,5,6,7,8,9,10,11,2] => 0100000001 => 1
[1,3,4,5,6,7,8,9,11,2,10] => 0000000010 => 1
[2,1,4,5,6,7,10,8,3,9] => 100000110 => 2
[2,3,1,5,9,6,7,4,8] => 01001010 => 3
[1,2,4,5,7,9,6,3,8] => 00000110 => 1
[3,4,6,5,7,1,2,9,8] => 00101001 => 2
[3,1,9,4,2,6,7,8,5] => 10110001 => 2
[7,3,5,6,1,8,2,4] => 1001010 => 3
[1,2,5,3,9,6,8,7,4] => 00101011 => 2
[3,1,5,2,6,10,7,8,9,4] => 101001001 => 3
[4,5,1,7,6,8,2,9,3] => 01010101 => 3
[4,5,1,6,7,9,8,10,2,3] => 010001010 => 3
[1,4,2,5,6,7,8,9,11,10,3] => 0100000011 => 1
[3,4,1,5,6,7,8,9,10,11,12,2] => 01000000001 => 1
[5,7,6,3,4,2,8,1] => 0110101 => 2
[4,6,7,2,3,5,8,1] => 0010001 => 1
[6,5,4,8,7,2,3,1] => 1101101 => 2
[7,2,8,3,9,4,10,5,1,6] => 101010110 => 4
[7,2,8,3,9,4,10,1,5,6] => 101010100 => 4
[7,2,8,3,9,10,4,5,1,6] => 101001010 => 4
[7,2,8,3,9,10,4,1,5,6] => 101001100 => 3
[7,2,8,3,9,10,1,4,5,6] => 101001000 => 3
[7,2,8,9,3,4,10,5,1,6] => 100100110 => 3
[7,2,8,9,3,4,10,1,5,6] => 100100100 => 3
[7,2,8,9,3,10,4,5,1,6] => 100101010 => 4
[7,2,8,9,3,10,4,1,5,6] => 100101100 => 3
[7,2,8,9,3,10,1,4,5,6] => 100101000 => 3
[7,2,8,9,10,3,4,5,1,6] => 100010010 => 3
[7,2,8,9,10,3,4,1,5,6] => 100010100 => 3
[7,2,8,9,10,3,1,4,5,6] => 100011000 => 2
[7,8,2,3,9,4,10,5,1,6] => 010010110 => 3
[7,8,2,3,9,4,10,1,5,6] => 010010100 => 3
[7,8,2,3,9,10,4,5,1,6] => 010001010 => 3
[7,8,2,3,9,10,4,1,5,6] => 010001100 => 2
[7,8,2,3,9,10,1,4,5,6] => 010001000 => 2
[7,8,2,9,3,4,10,5,1,6] => 010100110 => 3
[7,8,2,9,3,4,10,1,5,6] => 010100100 => 3
[7,8,2,9,3,10,4,5,1,6] => 010101010 => 4
[7,8,2,9,3,10,4,1,5,6] => 010101100 => 3
[7,8,2,9,3,10,1,4,5,6] => 010101000 => 3
[7,8,2,9,10,3,4,5,1,6] => 010010010 => 3
[7,8,2,9,10,3,4,1,5,6] => 010010100 => 3
[7,8,2,9,10,3,1,4,5,6] => 010011000 => 2
[7,8,2,9,10,1,3,4,5,6] => 010010000 => 2
[7,8,9,2,3,4,10,5,1,6] => 001000110 => 2
[7,8,9,2,3,4,10,1,5,6] => 001000100 => 2
[7,8,9,2,3,10,4,5,1,6] => 001001010 => 3
[7,8,9,2,3,10,4,1,5,6] => 001001100 => 2
[7,8,9,2,3,10,1,4,5,6] => 001001000 => 2
[7,8,9,2,10,3,4,5,1,6] => 001010010 => 3
[7,8,9,2,10,3,4,1,5,6] => 001010100 => 3
[7,8,9,2,10,3,1,4,5,6] => 001011000 => 2
[7,8,9,2,10,1,3,4,5,6] => 001010000 => 2
[7,8,9,10,2,3,4,1,5,6] => 000100100 => 2
[7,8,9,10,2,3,1,4,5,6] => 000101000 => 2
[7,8,9,10,2,1,3,4,5,6] => 000110000 => 1
[8,2,9,3,10,4,11,12,5,6,1,7] => 10101001010 => 5
[8,2,9,3,10,11,4,5,12,1,6,7] => 10100100100 => 4
[8,2,9,3,10,11,4,12,5,6,1,7] => 10100101010 => 5
[8,2,9,3,10,11,12,4,5,6,1,7] => 10100010010 => 4
[8,2,9,3,10,11,12,4,5,1,6,7] => 10100010100 => 4
[8,2,9,10,3,4,11,5,12,1,6,7] => 10010010100 => 4
[8,2,9,10,3,4,11,12,5,6,1,7] => 10010001010 => 4
[8,2,9,10,3,4,11,12,1,5,6,7] => 10010001000 => 3
[8,2,9,10,3,11,4,5,12,1,6,7] => 10010100100 => 4
[8,2,9,10,3,11,4,12,5,6,1,7] => 10010101010 => 5
[8,2,9,10,3,11,12,4,5,6,1,7] => 10010010010 => 4
[8,2,9,10,3,11,12,4,5,1,6,7] => 10010010100 => 4
[8,2,9,10,11,3,4,5,12,1,6,7] => 10001000100 => 3
[8,2,9,10,11,3,4,12,5,6,1,7] => 10001001010 => 4
[8,2,9,10,11,3,4,12,1,5,6,7] => 10001001000 => 3
[8,2,9,10,11,3,12,4,5,6,1,7] => 10001010010 => 4
[8,2,9,10,11,3,12,4,5,1,6,7] => 10001010100 => 4
[8,2,9,10,11,12,3,4,5,6,1,7] => 10000100010 => 3
[8,2,9,10,11,12,3,4,5,1,6,7] => 10000100100 => 3
[8,2,9,10,11,12,3,4,1,5,6,7] => 10000101000 => 3
[8,9,2,3,10,4,11,5,12,1,6,7] => 01001010100 => 4
[8,9,2,3,10,4,11,12,5,6,1,7] => 01001001010 => 4
[8,9,2,3,10,4,11,12,1,5,6,7] => 01001001000 => 3
[8,9,2,3,10,11,4,5,12,1,6,7] => 01000100100 => 3
[8,9,2,3,10,11,4,12,5,6,1,7] => 01000101010 => 4
[8,9,2,3,10,11,4,12,1,5,6,7] => 01000101000 => 3
[8,9,2,3,10,11,12,4,5,6,1,7] => 01000010010 => 3
[8,9,2,3,10,11,12,4,5,1,6,7] => 01000010100 => 3
[8,9,2,3,10,11,12,1,4,5,6,7] => 01000010000 => 2
[8,9,2,10,3,4,11,5,12,1,6,7] => 01010010100 => 4
[8,9,2,10,3,4,11,12,5,6,1,7] => 01010001010 => 4
[8,9,2,10,3,4,11,12,1,5,6,7] => 01010001000 => 3
[8,9,2,10,3,11,4,5,12,1,6,7] => 01010100100 => 4
[8,9,2,10,3,11,4,12,5,6,1,7] => 01010101010 => 5
[8,9,2,10,3,11,12,4,5,6,1,7] => 01010010010 => 4
[8,9,2,10,3,11,12,4,5,1,6,7] => 01010010100 => 4
[8,9,2,10,11,3,4,5,12,1,6,7] => 01001000100 => 3
[8,9,2,10,11,3,4,12,5,6,1,7] => 01001001010 => 4
[8,9,2,10,11,3,4,12,1,5,6,7] => 01001001000 => 3
[8,9,2,10,11,3,12,4,5,6,1,7] => 01001010010 => 4
[8,9,2,10,11,3,12,4,5,1,6,7] => 01001010100 => 4
[8,9,2,10,11,12,3,4,5,6,1,7] => 01000100010 => 3
[8,9,2,10,11,12,3,4,5,1,6,7] => 01000100100 => 3
[8,9,2,10,11,12,3,4,1,5,6,7] => 01000101000 => 3
[8,9,10,2,3,4,11,5,12,1,6,7] => 00100010100 => 3
[8,9,10,2,3,4,11,12,5,6,1,7] => 00100001010 => 3
[8,9,10,2,3,4,11,12,1,5,6,7] => 00100001000 => 2
[8,9,10,2,3,11,4,5,12,1,6,7] => 00100100100 => 3
[8,9,10,2,3,11,4,12,5,6,1,7] => 00100101010 => 4
[8,9,10,2,3,11,4,12,1,5,6,7] => 00100101000 => 3
[8,9,10,2,3,11,12,4,5,6,1,7] => 00100010010 => 3
[8,9,10,2,3,11,12,4,5,1,6,7] => 00100010100 => 3
[8,9,10,2,3,11,12,1,4,5,6,7] => 00100010000 => 2
[8,9,10,2,11,3,4,5,12,1,6,7] => 00101000100 => 3
[8,9,10,2,11,3,4,12,5,6,1,7] => 00101001010 => 4
[8,9,10,2,11,3,4,12,1,5,6,7] => 00101001000 => 3
[8,9,10,2,11,3,12,4,5,6,1,7] => 00101010010 => 4
[8,9,10,2,11,3,12,4,5,1,6,7] => 00101010100 => 4
[8,9,10,2,11,12,3,4,5,6,1,7] => 00100100010 => 3
[8,9,10,2,11,12,3,4,5,1,6,7] => 00100100100 => 3
[8,9,10,2,11,12,3,4,1,5,6,7] => 00100101000 => 3
[8,9,10,11,2,3,4,5,12,1,6,7] => 00010000100 => 2
[8,9,10,11,2,3,4,12,5,6,1,7] => 00010001010 => 3
[8,9,10,11,2,3,4,12,1,5,6,7] => 00010001000 => 2
[8,9,10,11,2,3,12,4,5,6,1,7] => 00010010010 => 3
[8,9,10,11,2,3,12,4,5,1,6,7] => 00010010100 => 3
[8,9,10,11,2,3,12,1,4,5,6,7] => 00010010000 => 2
[8,9,10,11,2,12,3,4,5,6,1,7] => 00010100010 => 3
[8,9,10,11,2,12,3,4,5,1,6,7] => 00010100100 => 3
[8,9,10,11,2,12,3,4,1,5,6,7] => 00010101000 => 3
[8,9,10,11,12,2,3,4,5,6,1,7] => 00001000010 => 2
[8,9,10,11,12,2,3,4,5,1,6,7] => 00001000100 => 2
[8,9,10,11,12,2,3,4,1,5,6,7] => 00001001000 => 2
[8,9,10,11,12,2,3,1,4,5,6,7] => 00001010000 => 2
[4,8,7,6,5,3,2,1,9] => 01111110 => 1
[5,9,8,7,6,4,3,2,1,10] => 011111110 => 1
[5,8,7,4,6,3,2,1,9] => 01101110 => 2
[8,4,7,6,5,3,2,1,9] => 10111110 => 2
[5,7,4,3,6,2,1,8] => 0110110 => 2
[6,9,8,5,7,4,1,3,2] => 01101101 => 2
[9,8,7,5,1,6,4,3,2] => 11110111 => 1
[10,9,8,6,1,7,5,4,3,2] => 111101111 => 1
[1,2,8,3,4,5,6,9,7] => 00100001 => 1
[1,9,5,2,3,8,4,6,7] => 01100100 => 2
[1,2,9,3,4,5,6,7,10,8] => 001000001 => 1
[1,8,2,9,4,3,5,6,7] => 01011000 => 2
[1,3,2,4,9,8,5,6,7] => 01001100 => 2
[2,1,3,4,5,9,8,6,7] => 10000110 => 2
[1,2,3,4,5,9,6,7,10,8] => 000001001 => 1
[9,1,7,2,3,4,5,8,6] => 10100001 => 2
[1,10,6,2,3,4,9,5,7,8] => 011000100 => 2
[1,2,10,3,4,5,6,7,8,11,9] => 0010000001 => 1
[1,8,5,2,3,4,6,9,7] => 01100001 => 1
[9,8,1,2,3,5,6,4,7] => 11000010 => 2
[1,5,2,9,3,10,4,6,7,8] => 010101000 => 3
[1,4,2,3,9,5,6,8,7] => 01001001 => 2
[1,8,5,6,2,3,7,4] => 0101001 => 2
[4,9,8,1,2,5,3,6,7] => 01100100 => 2
[1,2,4,3,10,9,5,6,7,8] => 001011000 => 2
[1,3,2,4,5,9,6,8,7] => 01000101 => 2
[1,8,3,9,4,2,5,6,7] => 01011000 => 2
[1,3,2,4,5,10,9,6,7,8] => 010001100 => 2
[1,2,3,4,5,10,6,7,8,11,9] => 0000010001 => 1
[2,3,1,4,9,8,5,6,7] => 01001100 => 2
[2,1,3,4,5,9,6,10,7,8] => 100001010 => 3
[7,2,4,6,8,1,5,3] => 1000101 => 2
[6,2,5,4,7,8,1,3] => 1010010 => 3
[3,8,2,6,1,7,4,5] => 0101010 => 3
[8,5,6,1,3,2,7,4] => 1010101 => 3
[5,3,7,8,2,6,1,4] => 1001010 => 3
[4,5,8,3,6,1,7,2] => 0010101 => 2
[4,5,8,7,2,3,1,6] => 0011010 => 2
[8,2,6,4,3,7,5,1] => 1011011 => 2
[6,3,1,8,7,4,5,2] => 1101101 => 2
[8,6,3,2,7,4,5,1] => 1110101 => 2
[1,3,6,8,7,4,5,2] => 0001101 => 1
[5,7,1,3,6,2,4,8] => 0100100 => 2
[4,7,5,2,3,6,8,1] => 0110001 => 1
[3,6,4,1,2,5,7,8] => 0110000 => 1
[4,7,1,3,2,5,8,6] => 0101001 => 2
[4,7,1,3,2,6,8,5] => 0101001 => 2
[5,7,1,3,6,2,8,4] => 0100101 => 2
[6,8,2,5,7,3,1,4] => 0100110 => 2
[4,8,5,2,3,6,1,7] => 0110010 => 2
[5,8,6,3,4,7,2,1] => 0110011 => 1
[3,7,5,4,2,8,1,6] => 0111010 => 2
[4,6,5,1,7,8,2,3] => 0110010 => 2
[4,7,1,3,2,8,5,6] => 0101010 => 3
[3,6,5,1,8,2,4,7] => 0110100 => 2
[5,8,7,3,4,2,6,1] => 0110101 => 2
[8,7,6,5,4,1,9,3,2] => 11111011 => 1
[8,7,6,5,2,9,1,3,4] => 11110100 => 2
[8,7,6,3,9,2,1,4,5] => 11101100 => 2
[8,7,4,9,3,2,1,6,5] => 11011101 => 2
[8,5,9,4,3,2,1,6,7] => 10111100 => 2
[6,9,5,4,3,2,1,7,8] => 01111100 => 1
[9,8,7,6,5,4,1,10,3,2] => 111111011 => 1
[8,7,6,5,2,1,4,3,9] => 11111010 => 2
[9,8,7,6,5,2,10,1,3,4] => 111110100 => 2
[8,7,6,3,2,5,1,4,9] => 11110100 => 2
[8,7,6,5,1,9,4,3,2] => 11110111 => 1
[9,8,7,6,3,10,2,1,4,5] => 111101100 => 2
[10,9,8,7,6,4,3,2,1,11,5] => 1111111101 => 1
[8,7,4,3,6,2,1,9,5] => 11101101 => 2
[8,7,6,2,9,5,1,3,4] => 11101100 => 2
[9,8,7,4,10,3,2,1,6,5] => 111011101 => 2
[8,5,4,7,3,2,1,6,9] => 11011100 => 2
[8,7,3,9,6,2,1,4,5] => 11011100 => 2
[9,8,5,10,4,3,2,1,6,7] => 110111100 => 2
[6,5,8,4,3,2,1,7,9] => 10111100 => 2
[8,4,9,7,3,2,1,6,5] => 10111101 => 2
[9,6,10,5,4,3,2,1,7,8] => 101111100 => 2
[10,9,7,6,5,4,3,2,1,11,8] => 1111111101 => 1
[5,9,8,4,3,2,1,6,7] => 01111100 => 1
[7,10,6,5,4,3,2,1,9,8] => 011111101 => 1
[8,5,2,3,7,4,6,1] => 1100101 => 2
[6,3,1,5,4,8,2,7] => 1101010 => 3
[4,7,6,3,5,2,8,1] => 0110101 => 2
[1,7,5,3,4,8,6,2] => 0110011 => 1
[5,8,2,3,4,7,6,1] => 0100011 => 1
[8,7,3,2,6,4,5,1] => 1110101 => 2
[8,3,1,4,7,5,2,6] => 1100110 => 2
[5,3,1,6,4,8,7,2] => 1101011 => 2
[3,4,8,5,7,2,6,1] => 0010101 => 2
[8,5,1,2,7,6,4,3] => 1100111 => 1
[10,7,8,1,2,3,4,5,6,9] => 101000000 => 2
[6,7,10,1,2,3,4,5,8,9] => 001000000 => 1
[8,2,6,3,1,5,4,7] => 1011010 => 3
[3,7,8,5,6,2,4,1] => 0010101 => 2
[1,10,2,3,4,7,5,6,8,9] => 010001000 => 2
[7,4,3,6,2,5,8,1] => 1101001 => 2
[4,3,8,7,1,6,2,5] => 1011010 => 3
[1,5,3,8,4,7,2,6] => 0101010 => 3
[8,2,3,1,6,5,7,4] => 1010101 => 3
[8,4,2,7,1,3,6,5] => 1101001 => 2
[8,4,2,3,1,6,7,5] => 1101001 => 2
[4,7,2,3,6,5,8,1] => 0100101 => 2
[3,8,2,6,4,7,1,5] => 0101010 => 3
[1,7,5,8,6,2,4,3] => 0101101 => 2
[6,5,1,7,4,8,3,2] => 1101011 => 2
[10,9,8,6,7,5,4,3,2,1] => 111011111 => 1
[7,6,3,5,1,4,8,2] => 1101001 => 2
[6,5,4,1,7,2,3,8] => 1110100 => 2
[8,3,6,1,7,4,5,2] => 1010101 => 3
[7,1,2,6,4,8,3,5] => 1001010 => 3
[3,5,1,8,6,2,4,7] => 0101100 => 2
[8,7,5,6,4,3,2,1,9] => 11011110 => 2
[8,6,5,7,4,3,2,1,9] => 11011110 => 2
[9,8,7,6,4,3,2,5,1] => 11111101 => 1
[9,8,7,6,4,3,5,2,1] => 11111011 => 1
[8,5,6,7,4,3,2,1,9] => 10011110 => 2
[10,9,7,6,8,5,4,3,2,1] => 111011111 => 1
[6,7,5,8,4,3,2,1,9] => 01011110 => 2
[10,8,7,6,9,5,4,3,2,1] => 111011111 => 1
[8,9,7,6,4,3,2,1,5] => 01111110 => 1
[7,6,5,3,2,1,4,8,9] => 11111000 => 1
[9,8,7,6,4,3,5,1,2] => 11111010 => 2
[9,8,7,6,4,3,2,5,1,10] => 111111010 => 2
[9,8,7,6,4,5,2,3,1] => 11110101 => 2
[9,8,7,6,4,3,5,2,1,10] => 111110110 => 2
[9,8,7,6,5,3,4,2,1] => 11111011 => 1
[1,8,7,5,4,6,2,3] => 0111010 => 2
[8,1,6,7,4,5,3,2] => 1001011 => 2
[8,1,6,4,7,5,3,2] => 1010111 => 2
[6,4,8,1,5,3,7,2] => 1010101 => 3
[1,6,4,3,5,8,2,7] => 0110010 => 2
[5,1,4,3,7,8,6,2] => 1010011 => 2
[5,7,1,8,6,3,2,4] => 0101110 => 2
[5,7,6,3,4,2,1,8] => 0110110 => 2
[4,1,3,7,6,5,2,8] => 1001110 => 2
[8,7,6,5,4,2,3,1,9] => 11111010 => 2
[4,3,6,1,2,7,8,5] => 1010001 => 2
[1,10,9,8,6,5,7,4,3,2] => 011110111 => 1
[2,9,8,6,5,7,4,3,1] => 01110111 => 1
[3,1,4,5,6,7,9,2,10,8] => 100000101 => 2
[5,8,3,6,7,2,4,1] => 0100101 => 2
[8,1,6,2,5,7,4,3] => 1010011 => 2
[2,7,1,5,3,6,8,4] => 0101001 => 2
[6,8,7,3,4,2,5,1] => 0110101 => 2
[1,8,6,2,4,7,5,3] => 0110011 => 1
[5,7,3,6,4,2,1,8] => 0101110 => 2
[5,7,3,6,4,1,8,2] => 0101101 => 2
[3,7,5,6,4,1,8,2] => 0101101 => 2
[7,1,8,2,3,4,5,9,6] => 10100001 => 2
[6,8,1,2,3,4,5,9,7] => 01000001 => 1
[9,6,7,4,5,2,3,1,8] => 10101010 => 4
[8,9,6,7,4,5,2,1,3] => 01010110 => 3
[10,8,9,6,7,4,5,2,1,3] => 101010110 => 4
[9,8,6,5,4,3,7,2,1] => 11111011 => 1
[2,8,5,7,3,4,6,1] => 0101001 => 2
[2,3,6,4,5,1,7,8,9] => 00101000 => 2
[2,3,4,8,5,6,7,1,9] => 00010010 => 2
[3,5,4,7,2,6,1,8,9] => 01010100 => 3
[2,6,4,1,5,3,7,8,9] => 01101000 => 2
[4,5,2,6,3,1,7,8,9] => 01011000 => 2
[3,6,4,5,9,2,7,8,1] => 01001001 => 2
[2,5,4,7,8,6,3,1,9] => 01001110 => 2
[4,6,2,5,8,3,7,1,9] => 01001010 => 3
[3,5,7,6,1,4,2,8,9] => 00110100 => 2
[5,6,2,3,7,4,1,8,9] => 01001100 => 2
[5,7,2,3,6,9,4,8,1] => 01000101 => 2
[2,8,4,1,6,3,7,5,9] => 01101010 => 3
[4,6,7,8,3,1,5,2,9] => 00011010 => 2
[6,7,2,3,4,8,5,1,9] => 01000110 => 2
[3,5,9,7,1,8,2,6,4] => 00110101 => 2
[5,7,8,3,9,4,1,6,2] => 00101101 => 2
[7,8,2,3,4,5,9,6,1] => 01000011 => 1
[2,4,3,1,5,6,7,8,9,10] => 011000000 => 1
[2,3,6,4,5,1,7,8,9,10] => 001010000 => 2
[3,4,5,2,1,6,7,8,9,10] => 001100000 => 1
[2,3,4,8,5,6,7,1,9,10] => 000100100 => 2
[3,5,4,7,2,6,1,8,9,10] => 010101000 => 3
[2,6,4,1,5,3,7,8,9,10] => 011010000 => 2
[4,5,2,6,3,1,7,8,9,10] => 010110000 => 2
[3,6,4,5,9,2,7,8,1,10] => 010010010 => 3
[2,5,4,7,8,6,3,1,9,10] => 010011100 => 2
[4,6,2,5,8,3,7,1,9,10] => 010010100 => 3
[3,5,7,6,1,4,2,8,9,10] => 001101000 => 2
[5,6,2,3,7,4,1,8,9,10] => 010011000 => 2
[2,5,4,8,6,10,7,3,9,1] => 010101101 => 3
[4,7,2,5,6,10,3,8,9,1] => 010001001 => 2
[2,3,9,5,6,1,7,8,4,10] => 001010010 => 3
[5,7,2,3,6,9,4,8,1,10] => 010001010 => 3
[2,8,4,1,6,3,7,5,9,10] => 011010100 => 3
[4,6,7,8,3,1,5,2,9,10] => 000110100 => 2
[6,7,2,3,4,8,5,1,9,10] => 010001100 => 2
[3,6,4,10,8,7,1,5,9,2] => 010111001 => 2
[2,7,4,9,6,3,10,8,5,1] => 010110111 => 2
[4,6,8,7,3,9,10,5,2,1] => 001100111 => 1
[6,8,2,3,4,7,10,5,9,1] => 010000101 => 2
[3,5,9,7,1,8,2,6,4,10] => 001101010 => 3
[5,7,8,3,9,4,1,6,2,10] => 001011010 => 3
[7,8,2,3,4,5,9,6,1,10] => 010000110 => 2
[4,6,8,10,9,1,5,2,7,3] => 000110101 => 2
[6,8,9,3,4,10,5,1,7,2] => 001001101 => 2
[8,9,2,3,4,5,6,10,7,1] => 010000011 => 1
[2,1,3,8,5,4,6,7] => 1001100 => 2
[5,3,6,8,2,4,1,7] => 1001010 => 3
[1,7,8,6,3,2,4,5] => 0011100 => 1
[7,1,2,5,3,8,4,6] => 1001010 => 3
[3,7,4,2,5,1,8,6] => 0110101 => 2
[1,8,3,4,5,7,2,6] => 0100010 => 2
[2,6,7,5,3,8,1,4] => 0011010 => 2
[4,5,2,6,8,7,1,3] => 0100110 => 2
[4,5,2,6,8,3,1,7] => 0100110 => 2
[4,5,7,6,2,1,3,8] => 0011100 => 1
[7,8,2,6,5,4,3,1] => 0101111 => 1
[5,3,7,8,4,2,1,6] => 1001110 => 2
[7,3,6,8,1,5,4,2] => 1001011 => 2
[9,7,8,5,6,2,4,1,3] => 10101010 => 4
[9,7,8,4,6,2,5,1,3] => 10101010 => 4
[9,6,8,4,7,2,5,1,3] => 10101010 => 4
[8,9,6,4,7,2,5,1,3] => 01101010 => 3
[8,9,6,7,4,2,5,1,3] => 01011010 => 3
[9,7,8,3,6,2,5,1,4] => 10101010 => 4
[9,5,8,4,7,2,6,1,3] => 10101010 => 4
[7,6,9,4,8,2,5,1,3] => 10101010 => 4
[8,6,9,7,4,2,5,1,3] => 10111010 => 3
[10,8,9,6,4,7,2,5,1,3] => 101101010 => 4
[8,9,6,4,7,5,2,1,3] => 01101110 => 2
[10,8,9,6,7,4,2,5,1,3] => 101011010 => 4
[8,9,6,7,4,2,5,3,1] => 01011011 => 2
[7,5,8,2,4,3,6,1] => 1010101 => 3
[6,5,8,2,3,4,1,7] => 1010010 => 3
[8,1,5,3,4,6,2,7] => 1010010 => 3
[5,8,7,2,4,3,6,1] => 0110101 => 2
[1,7,2,4,8,5,6,3] => 0100101 => 2
[5,8,2,3,7,4,6,1] => 0100101 => 2
[7,8,2,3,5,4,6,1] => 0100101 => 2
[8,4,1,3,2,6,5,7] => 1101010 => 3
[8,7,2,3,5,4,6,1] => 1100101 => 2
[1,7,6,8,4,5,3,2] => 0101011 => 2
[2,7,3,1,8,5,6,4] => 0110101 => 2
[3,8,5,2,1,6,7,4] => 0111001 => 1
[10,1,2,9,6,3,4,5,7,8] => 100110000 => 2
[4,1,2,10,3,5,9,6,7,8] => 100100100 => 3
[2,8,6,1,5,7,4,3] => 0110011 => 1
[8,3,5,1,7,6,4,2] => 1010111 => 2
[8,3,5,4,7,1,6,2] => 1010101 => 3
[6,4,1,5,7,8,2,3] => 1100010 => 2
[4,8,7,1,2,5,3,6] => 0110010 => 2
[8,7,2,6,1,4,3,5] => 1101010 => 3
[6,1,7,3,8,2,4,5] => 1010100 => 3
[7,1,8,6,4,2,3,5] => 1011100 => 2
[4,1,3,5,8,2,6,7] => 1000100 => 2
[1,8,5,7,4,6,3,2] => 0101011 => 2
[1,4,7,6,8,3,5,2] => 0010101 => 2
[1,7,2,8,6,5,3,4] => 0101110 => 2
[5,7,1,6,4,2,3,8] => 0101100 => 2
[4,8,2,7,5,1,6,3] => 0101101 => 2
[2,8,4,6,7,1,5,3] => 0100101 => 2
[3,8,5,1,4,2,6,7] => 0110100 => 2
[1,7,6,2,5,3,8,4] => 0110101 => 2
[1,7,5,2,4,3,8,6] => 0110101 => 2
[2,8,5,1,4,3,6,7] => 0110100 => 2
[9,7,6,5,4,3,2,8,1] => 11111101 => 1
[3,1,4,6,2,5,8,7,9] => 10010010 => 3
[1,3,2,5,7,4,6,9,8] => 01001001 => 2
[7,6,3,5,4,8,2,1] => 1101011 => 2
[1,9,8,5,6,7,4,3,2] => 01100111 => 1
[1,10,9,8,5,6,7,4,3,2] => 011100111 => 1
[1,9,8,5,4,6,7,3,2] => 01110011 => 1
[1,10,9,5,6,7,8,4,3,2] => 011000111 => 1
[1,9,5,4,6,7,8,3,2] => 01100011 => 1
[1,10,4,5,6,7,8,9,3,2] => 010000011 => 1
[3,1,2,5,7,6,8,4] => 1000101 => 2
[5,1,7,3,2,6,8,4] => 1011001 => 2
[4,7,2,3,5,1,6,8] => 0100100 => 2
[4,8,2,3,7,5,1,6] => 0100110 => 2
[8,7,2,4,3,5,6,1] => 1101001 => 2
[8,6,2,4,3,5,1,7] => 1101010 => 3
[8,1,2,4,7,3,5,6] => 1000100 => 2
[7,6,2,8,4,5,1,3] => 1101010 => 3
[6,8,1,5,7,3,2,4] => 0100110 => 2
[4,1,7,5,6,8,2,3] => 1010010 => 3
[3,7,6,2,1,4,5,8] => 0111000 => 1
[1,6,8,7,2,5,4,3] => 0011011 => 1
[1,4,8,7,6,3,5,2] => 0011101 => 1
[1,2,3,4,7,5,6,9,8] => 00001001 => 1
[3,1,8,4,5,2,7,6] => 1010101 => 3
[2,3,7,6,1,8,4,5] => 0011010 => 2
[4,8,5,2,1,3,7,6] => 0111001 => 1
[5,8,4,2,1,3,7,6] => 0111001 => 1
[9,8,7,6,5,3,1,4,2] => 11111101 => 1
[9,8,7,6,4,1,5,3,2] => 11111011 => 1
[9,8,6,1,7,5,4,3,2] => 11101111 => 1
[9,7,1,8,6,5,4,3,2] => 11011111 => 1
[4,6,7,5,2,3,1,8] => 0011010 => 2
[6,2,5,3,1,8,7,4] => 1011011 => 2
[6,2,5,3,8,7,1,4] => 1010110 => 3
[6,4,5,3,8,7,1,2] => 1010110 => 3
[1,6,4,5,8,7,3,2] => 0100111 => 1
[8,4,7,5,2,3,1,6] => 1011010 => 3
[8,2,7,4,5,3,1,6] => 1010110 => 3
[8,2,4,7,5,3,1,6] => 1001110 => 2
[8,2,6,7,5,3,1,4] => 1001110 => 2
[8,4,6,7,5,3,1,2] => 1001110 => 2
[6,4,5,8,7,3,1,2] => 1001110 => 2
[6,2,8,7,5,3,1,4] => 1011110 => 2
[4,6,5,3,8,7,1,2] => 0110110 => 2
[6,7,2,4,5,3,1,8] => 0100110 => 2
[6,8,7,4,5,3,1,2] => 0110110 => 2
[2,8,4,7,5,3,1,6] => 0101110 => 2
[5,8,7,4,6,3,1,2] => 0110110 => 2
[6,5,8,4,7,2,1,3] => 1010110 => 3
[4,8,6,2,5,7,1,3] => 0110010 => 2
[8,1,6,2,5,7,3,4] => 1010010 => 3
[6,8,1,2,4,7,3,5] => 0100010 => 2
[8,1,5,3,2,7,4,6] => 1011010 => 3
[8,3,7,6,2,5,4,1] => 1011011 => 2
[1,2,7,4,5,6,8,9,3] => 00100001 => 1
[5,3,1,2,6,7,8,9,10,4] => 110000001 => 1
[7,3,4,5,1,2,8,9,10,6] => 100100001 => 2
[8,3,4,5,6,1,2,9,10,7] => 100010001 => 2
[1,2,3,4,7,8,5,6,9] => 00000100 => 1
[1,2,3,4,6,5,8,7,9] => 00001010 => 2
[1,2,3,4,8,9,5,6,7] => 00000100 => 1
[4,6,1,3,5,8,2,7] => 0100010 => 2
[4,5,1,3,8,7,2,6] => 0100110 => 2
[6,2,7,1,8,3,4,5] => 1010100 => 3
[6,4,5,8,1,7,2,3] => 1001010 => 3
[6,2,8,5,1,4,7,3] => 1011001 => 2
[2,4,7,6,1,8,3,5] => 0011010 => 2
[2,1,7,8,9,3,4,5,6] => 10001000 => 2
[2,6,7,8,9,10,1,3,4,5] => 000001000 => 1
[9,7,5,3,8,6,4,2,1] => 11101111 => 1
[10,8,9,7,6,5,4,3,2,1] => 101111111 => 1
[7,4,5,8,6,3,2,1] => 1001111 => 1
[8,6,9,7,4,3,2,1,5] => 10111110 => 2
[8,6,3,2,1,4,9,7,5] => 11110011 => 1
[8,6,4,9,7,5,2,1,3] => 11011110 => 2
[10,8,6,4,9,7,5,3,2,1] => 111011111 => 1
[9,7,5,3,8,6,4,1,2] => 11101110 => 2
[10,8,6,4,2,1,9,7,5,3] => 111110111 => 1
[9,6,7,8,5,4,3,2,1] => 10011111 => 1
[10,8,9,6,5,4,3,2,1,7] => 101111110 => 2
[8,5,6,9,7,4,3,2,1] => 10011111 => 1
[9,7,10,8,5,4,3,2,1,6] => 101111110 => 2
[8,6,3,2,1,9,7,4,5] => 11110110 => 2
[9,7,8,4,3,2,1,5,6] => 10111100 => 2
[9,7,4,3,2,1,5,10,8,6] => 111110011 => 1
[8,6,3,4,9,7,5,2,1] => 11001111 => 1
[8,6,9,7,3,2,1,4,5] => 10111100 => 2
[9,7,5,10,8,6,3,2,1,4] => 110111110 => 2
[9,7,5,2,3,8,6,4,1] => 11100111 => 1
[8,6,2,1,3,4,9,7,5] => 11100011 => 1
[10,8,6,4,9,7,5,2,1,3] => 111011110 => 2
[8,6,4,9,7,5,1,2,3] => 11011100 => 2
[10,8,6,4,1,2,9,7,5,3] => 111100111 => 1
[2,5,1,6,3,7,4,8,9] => 01010100 => 3
[2,6,1,7,3,8,4,9,5] => 01010101 => 3
[3,4,6,1,7,2,8,5,9] => 00101010 => 3
[3,2,6,1,7,4,8,5,9] => 10101010 => 4
[4,2,5,6,1,7,3,8,9] => 10010100 => 3
[3,4,2,6,1,7,5,8,9] => 01010100 => 3
[4,2,5,7,1,8,3,9,6] => 10010101 => 3
[3,4,2,7,1,8,5,9,6] => 01010101 => 3
[5,3,6,4,7,1,8,2,9] => 10101010 => 4
[3,5,2,6,7,1,8,4,9] => 01001010 => 3
[4,3,5,2,7,1,8,6,9] => 10101010 => 4
[4,6,2,7,5,8,1,9,3] => 01010101 => 3
[4,3,6,2,7,8,1,9,5] => 10100101 => 3
[4,5,3,6,2,8,1,9,7] => 01010101 => 3
[2,5,1,6,3,7,4,8,9,10] => 010101000 => 3
[3,4,5,1,6,2,7,8,9,10] => 001010000 => 2
[2,6,1,7,3,8,4,9,5,10] => 010101010 => 4
[3,4,6,1,7,2,8,5,9,10] => 001010100 => 3
[3,2,6,1,7,4,8,5,9,10] => 101010100 => 4
[4,2,5,6,1,7,3,8,9,10] => 100101000 => 3
[3,4,2,6,1,7,5,8,9,10] => 010101000 => 3
[3,2,7,1,8,4,9,5,10,6] => 101010101 => 4
[4,5,6,7,1,8,2,9,3,10] => 000101010 => 3
[3,4,2,7,1,8,5,9,6,10] => 010101010 => 4
[5,3,6,4,7,1,8,2,9,10] => 101010100 => 4
[3,5,2,6,7,1,8,4,9,10] => 010010100 => 3
[4,3,5,2,7,1,8,6,9,10] => 101010100 => 4
[5,2,6,7,8,1,9,3,10,4] => 100010101 => 3
[5,3,6,4,8,1,9,2,10,7] => 101010101 => 4
[3,5,2,6,8,1,9,4,10,7] => 010010101 => 3
[4,3,5,2,8,1,9,6,10,7] => 101010101 => 4
[4,6,2,7,5,8,1,9,3,10] => 010101010 => 4
[4,3,6,2,7,8,1,9,5,10] => 101001010 => 4
[4,5,3,6,2,8,1,9,7,10] => 010101010 => 4
[5,3,7,2,8,6,9,1,10,4] => 101010101 => 4
[4,5,3,7,2,8,9,1,10,6] => 010100101 => 3
[5,4,6,3,7,2,9,1,10,8] => 101010101 => 4
[7,6,5,9,4,3,2,1,8] => 11011110 => 2
[7,6,5,4,3,9,2,1,8] => 11110110 => 2
[7,9,8,5,4,3,2,1,6] => 01111110 => 1
[8,7,10,6,5,4,3,2,1,9] => 101111110 => 2
[7,6,9,8,4,3,2,1,5] => 10111110 => 2
[8,7,6,10,5,4,3,2,1,9] => 110111110 => 2
[7,6,5,9,8,3,2,1,4] => 11011110 => 2
[7,6,5,4,9,8,2,1,3] => 11101110 => 2
[8,7,6,5,4,10,3,2,1,9] => 111101110 => 2
[7,6,5,4,3,9,8,1,2] => 11110110 => 2
[8,7,6,5,4,3,10,2,1,9] => 111110110 => 2
[9,8,7,6,5,2,3,4,1] => 11111001 => 1
[6,1,7,8,9,2,3,4,5] => 10001000 => 2
[5,6,7,8,9,11,1,2,3,4,10] => 0000010000 => 1
[4,5,6,7,1,9,2,3,8] => 00010100 => 2
[3,5,6,7,9,1,2,4,8] => 00001000 => 1
[5,1,6,7,8,2,9,3,4] => 10001010 => 3
[4,1,6,7,8,9,2,3,5] => 10000100 => 2
[5,1,6,7,8,9,10,2,3,4] => 100000100 => 2
[7,4,1,3,6,8,2,5] => 1100010 => 2
[6,8,1,2,7,3,4,5] => 0100100 => 2
[1,6,2,8,7,3,4,5] => 0101100 => 2
[1,6,8,5,7,4,3,2] => 0010111 => 1
[3,8,1,2,4,7,6,5] => 0100011 => 1
[1,4,5,7,3,6,8,2] => 0001001 => 1
[2,3,8,1,4,6,5,7] => 0010010 => 2
[3,6,2,4,7,5,8,1] => 0100101 => 2
[3,1,8,4,6,2,5,7] => 1010100 => 3
[4,2,7,3,5,8,1,6] => 1010010 => 3
[3,1,8,4,5,6,2,7] => 1010010 => 3
[4,2,7,8,6,3,1,5] => 1001110 => 2
[7,1,4,2,8,6,3,5] => 1010110 => 3
[2,3,7,4,8,1,6,5] => 0010101 => 2
[1,6,3,5,8,7,4,2] => 0100111 => 1
[8,4,6,3,5,1,7,2] => 1010101 => 3
[7,3,2,6,8,4,5,1] => 1100101 => 2
[2,4,5,7,1,6,8,3] => 0001001 => 1
[8,4,2,6,7,3,5,1] => 1100101 => 2
[4,1,5,7,8,6,2,3] => 1000110 => 2
[6,1,4,8,2,3,7,5] => 1001001 => 2
[7,6,2,3,5,8,4,1] => 1100011 => 1
[2,8,5,7,6,3,4,1] => 0101101 => 2
[2,5,7,8,6,4,1,3] => 0001110 => 1
[7,4,1,6,2,5,8,3] => 1101001 => 2
[8,7,4,6,2,5,3,1] => 1101011 => 2
[1,7,5,4,6,2,3,8] => 0110100 => 2
[6,2,7,5,3,1,4,8] => 1011100 => 2
[6,1,7,4,8,5,2,3] => 1010110 => 3
[8,2,4,6,3,1,7,5] => 1001101 => 2
[5,6,2,4,8,7,3,1] => 0100111 => 1
[8,5,6,2,3,7,4,1] => 1010011 => 2
[7,8,1,4,5,6,2,3] => 0100010 => 2
[5,6,7,8,9,1,3,4,2] => 00001001 => 1
[6,7,8,9,1,3,4,5,2] => 00010001 => 1
[6,7,8,9,1,4,5,2,3] => 00010010 => 2
[6,7,8,9,1,4,5,3,2] => 00010011 => 1
[6,7,8,9,1,5,4,3,2] => 00010111 => 1
[7,8,9,1,4,5,6,2,3] => 00100010 => 2
[7,8,9,1,4,5,6,3,2] => 00100011 => 1
[7,8,9,1,5,6,3,4,2] => 00100101 => 2
[7,8,9,1,5,6,4,3,2] => 00100111 => 1
[7,8,9,1,6,5,4,3,2] => 00101111 => 1
[8,9,1,5,6,7,3,4,2] => 01000101 => 2
[8,9,1,5,6,7,4,3,2] => 01000111 => 1
[8,9,1,6,7,4,5,2,3] => 01001010 => 3
[8,9,1,6,7,4,5,3,2] => 01001011 => 2
[8,9,1,6,7,5,4,3,2] => 01001111 => 1
[9,1,7,8,5,6,3,4,2] => 10010101 => 3
[9,1,7,8,5,6,4,3,2] => 10010111 => 2
[5,6,7,8,9,10,1,3,4,2] => 000001001 => 1
[5,6,7,8,9,10,1,4,3,2] => 000001011 => 1
[7,8,9,10,1,4,5,6,2,3] => 000100010 => 2
[7,8,9,10,1,4,5,6,3,2] => 000100011 => 1
[7,8,9,10,1,5,6,4,3,2] => 000100111 => 1
[7,8,9,10,1,6,5,4,3,2] => 000101111 => 1
[8,9,10,1,4,5,6,7,2,3] => 001000010 => 2
[8,9,10,1,4,5,6,7,3,2] => 001000011 => 1
[8,9,10,1,5,6,7,2,3,4] => 001000100 => 2
[8,9,10,1,5,6,7,4,3,2] => 001000111 => 1
[8,9,10,1,6,7,4,5,2,3] => 001001010 => 3
[8,9,10,1,6,7,4,5,3,2] => 001001011 => 2
[8,9,10,1,6,7,5,4,3,2] => 001001111 => 1
[8,9,10,1,7,6,5,4,3,2] => 001011111 => 1
[9,10,1,6,7,8,3,4,5,2] => 010001001 => 2
[9,10,1,6,7,8,4,5,2,3] => 010001010 => 3
[9,10,1,6,7,8,4,5,3,2] => 010001011 => 2
[9,10,1,6,7,8,5,4,3,2] => 010001111 => 1
[9,10,1,7,8,5,6,3,4,2] => 010010101 => 3
[9,10,1,7,8,5,6,4,3,2] => 010010111 => 2
[9,10,1,7,8,6,5,4,3,2] => 010011111 => 1
[10,1,8,9,6,7,4,5,3,2] => 100101011 => 3
[10,1,8,9,6,7,5,4,3,2] => 100101111 => 2
[10,1,8,9,7,6,5,4,3,2] => 100111111 => 1
[7,4,8,3,5,6,2,1] => 1010011 => 2
[2,6,1,4,7,5,8,3] => 0100101 => 2
[3,1,5,7,2,6,8,4] => 1001001 => 2
[3,1,7,5,2,6,8,4] => 1011001 => 2
[3,2,7,5,1,6,8,4] => 1011001 => 2
[5,2,7,3,1,6,8,4] => 1011001 => 2
[6,7,2,1,3,4,8,5] => 0110001 => 1
[4,6,3,1,2,7,8,5] => 0110001 => 1
[2,3,4,5,7,9,6,8,1] => 00000101 => 1
[2,3,4,6,9,5,7,8,1] => 00001001 => 1
[2,3,5,6,8,4,7,1] => 0000101 => 1
[2,3,5,9,4,6,7,8,1] => 00010001 => 1
[2,4,5,8,3,6,7,1] => 0001001 => 1
[2,4,9,3,5,6,7,8,1] => 00100001 => 1
[5,9,8,7,6,4,3,1,2] => 01111110 => 1
[5,4,8,7,6,3,2,1,9] => 10111110 => 2
[4,5,8,7,6,3,1,2] => 0011110 => 1
[6,5,9,8,7,4,3,1,2] => 10111110 => 2
[8,7,4,6,5,3,1,2] => 1101110 => 2
[9,5,8,7,6,4,3,1,2] => 10111110 => 2
[6,10,9,8,7,5,4,3,1,2] => 011111110 => 1
[8,1,4,3,6,2,5,7] => 1010100 => 3
[1,6,3,7,8,4,2,5] => 0100110 => 2
[5,3,8,4,6,7,2,1] => 1010011 => 2
[4,3,5,8,6,7,2,1] => 1001011 => 2
[3,2,7,8,5,6,4,1] => 1001011 => 2
[4,7,3,8,5,6,2,1] => 0101011 => 2
[7,1,4,8,5,6,3,2] => 1001011 => 2
[4,3,8,7,2,5,6,1] => 1011001 => 2
[1,7,3,8,6,4,5,2] => 0101101 => 2
[7,4,2,8,5,6,3,1] => 1101011 => 2
[3,4,8,2,6,7,5,1] => 0010011 => 1
[1,6,3,8,7,4,5,2] => 0101101 => 2
[1,4,5,8,7,6,2,3] => 0001110 => 1
[5,2,1,3,8,4,6,7] => 1100100 => 2
[1,4,3,5,8,2,6,7] => 0100100 => 2
[2,1,3,8,6,4,5,7] => 1001100 => 2
[1,3,6,4,5,8,2,7] => 0010010 => 2
[6,1,4,3,5,8,2,7] => 1010010 => 3
[6,5,1,3,8,2,4,7] => 1100100 => 2
[1,4,3,8,6,2,5,7] => 0101100 => 2
[4,1,3,8,6,2,5,7] => 1001100 => 2
[7,1,5,4,6,3,8,2] => 1010101 => 3
[8,9,7,6,5,4,3,2,10,1] => 011111101 => 1
[7,6,8,5,4,3,2,9,1] => 10111101 => 2
[6,8,7,5,4,3,2,9,1] => 01111101 => 1
[6,4,7,8,3,5,1,2] => 1001010 => 3
[3,5,6,7,1,8,4,2] => 0001011 => 1
[2,7,8,3,6,1,5,4] => 0010101 => 2
[1,7,8,3,6,2,5,4] => 0010101 => 2
[7,4,3,5,8,1,6,2] => 1100101 => 2
[7,3,6,4,1,8,5,2] => 1011011 => 2
[7,8,4,3,6,1,5,2] => 0110101 => 2
[7,1,6,4,3,8,5,2] => 1011011 => 2
[8,7,3,4,1,5,2,6] => 1101010 => 3
[7,2,6,4,3,8,5,1] => 1011011 => 2
[1,7,5,4,3,8,2,6] => 0111010 => 2
[4,5,8,1,7,3,2,6] => 0010110 => 2
[4,6,7,1,3,8,2,5] => 0010010 => 2
[2,3,4,5,6,1,8,9,7] => 00001001 => 1
[2,3,4,5,1,7,8,9,6] => 00010001 => 1
[2,6,3,1,4,7,8,5] => 0110001 => 1
[2,9,3,4,5,6,1,7,8] => 01000100 => 2
[2,3,4,5,6,7,1,9,10,8] => 000001001 => 1
[2,7,3,4,1,8,5,6] => 0101010 => 3
[2,8,3,4,5,1,6,9,7] => 01001001 => 2
[2,7,3,4,1,5,8,9,6] => 01010001 => 2
[2,3,4,5,1,7,8,9,10,6] => 000100001 => 1
[2,6,3,1,4,7,8,9,5] => 01100001 => 1
[2,3,1,5,6,7,8,9,10,4] => 010000001 => 1
[7,5,8,2,4,3,1,6] => 1010110 => 3
[2,3,7,8,1,4,6,5] => 0001001 => 1
[8,2,3,5,4,1,7,6] => 1001101 => 2
[7,1,3,8,2,4,6,5] => 1001001 => 2
[7,2,3,6,4,1,8,5] => 1001101 => 2
[6,5,2,4,1,8,3,7] => 1101010 => 3
[5,7,2,4,1,3,8,6] => 0101001 => 2
[6,2,5,4,1,8,3,7] => 1011010 => 3
[4,2,5,3,7,6,9,8,1] => 10101011 => 3
[4,2,6,3,7,5,9,8,1] => 10101011 => 3
[4,2,6,3,8,5,9,7,1] => 10101011 => 3
[4,2,6,3,8,5,1,7,9] => 10101100 => 3
[4,2,6,3,5,8,1,7] => 1010010 => 3
[4,2,6,3,8,5,7,1,9] => 10101010 => 4
[4,2,6,3,5,8,7,1,9] => 10100110 => 3
[4,2,3,6,5,8,7,1,9] => 10010110 => 3
[4,2,5,3,7,6,9,8,1,10] => 101010110 => 4
[5,2,6,3,7,4,9,8,1] => 10101011 => 3
[4,2,6,3,7,5,9,8,1,10] => 101010110 => 4
[4,2,7,3,8,5,9,6,1] => 10101011 => 3
[4,2,6,3,8,5,9,7,1,10] => 101010110 => 4
[4,2,6,3,9,5,1,7,8] => 10101100 => 3
[4,2,6,3,8,5,10,7,1,9] => 101010110 => 4
[4,2,6,3,8,5,7,9,1] => 10101001 => 3
[4,2,6,3,8,5,10,7,9,1] => 101010101 => 4
[4,2,6,3,5,8,1,7,9] => 10100100 => 3
[4,2,6,3,8,5,7,10,9,1] => 101010011 => 3
[4,2,3,6,8,5,7,1,9] => 10001010 => 3
[4,2,6,3,5,8,7,10,9,1] => 101001011 => 3
[2,4,6,3,5,8,7,1,9] => 00100110 => 2
[4,2,3,6,5,8,7,10,9,1] => 100101011 => 3
[7,4,2,6,8,5,3,1] => 1100111 => 1
[8,5,2,4,6,3,1,7] => 1100110 => 2
[7,4,1,2,8,5,6,3] => 1100101 => 2
[6,4,1,8,5,2,3,7] => 1101100 => 2
[8,4,1,6,3,5,2,7] => 1101010 => 3
[7,3,4,1,6,8,5,2] => 1010011 => 2
[8,6,2,3,5,7,4,1] => 1100011 => 1
[8,6,2,5,7,3,4,1] => 1100101 => 2
[6,3,4,8,5,1,2,7] => 1001100 => 2
[8,5,1,2,7,4,6,3] => 1100101 => 2
[7,2,6,8,3,4,5,1] => 1001001 => 2
[1,6,7,5,4,8,2,3] => 0011010 => 2
[1,8,5,4,2,6,3,7] => 0111010 => 2
[3,4,5,6,9,2,1,8,7] => 00001101 => 1
[3,4,5,8,2,9,1,7,6] => 00010101 => 2
[3,4,7,2,8,9,1,5,6] => 00100100 => 2
[3,6,2,7,8,9,1,5,4] => 01000101 => 2
[5,2,6,7,8,9,1,4,3] => 10000101 => 2
[3,4,5,6,7,8,9,11,1,10,2] => 0000000101 => 1
[3,4,5,6,9,1,7,8,2] => 00001001 => 1
[3,4,5,6,7,10,2,1,9,8] => 000001101 => 1
[3,4,5,6,7,8,10,11,1,9,2] => 0000000101 => 1
[3,4,5,8,9,6,1,7,2] => 00001101 => 1
[3,4,5,6,9,2,10,1,8,7] => 000010101 => 2
[3,4,7,8,5,9,1,2,6] => 00010100 => 2
[3,4,5,9,2,6,1,8,7] => 00010101 => 2
[3,4,5,8,2,9,10,1,6,7] => 000100100 => 2
[3,4,5,6,8,9,10,11,1,7,2] => 0000000101 => 1
[3,6,7,4,8,9,1,5,2] => 00100101 => 2
[3,4,8,2,5,9,1,7,6] => 00100101 => 2
[3,4,7,2,8,9,10,1,6,5] => 001000101 => 2
[3,4,5,7,8,9,10,11,1,6,2] => 0000000101 => 1
[5,6,3,7,8,9,1,4,2] => 01000101 => 2
[3,7,2,4,8,9,1,5,6] => 01000100 => 2
[3,6,2,7,8,9,10,1,5,4] => 010000101 => 2
[6,2,3,7,8,9,1,5,4] => 10000101 => 2
[5,2,6,7,8,9,10,1,3,4] => 100000100 => 2
[3,5,6,7,8,9,10,11,1,4,2] => 0000000101 => 1
[4,5,6,7,8,9,10,11,1,3,2] => 0000000101 => 1
[8,9,7,6,5,4,1,3,2] => 01111101 => 1
[8,7,9,6,5,4,1,3,2] => 10111101 => 2
[9,7,8,6,5,4,1,3,2] => 10111101 => 2
[9,10,8,7,6,5,4,1,3,2] => 011111101 => 1
[10,8,7,6,5,4,3,2,9,1] => 111111101 => 1
[5,7,3,6,2,1,4,8] => 0101100 => 2
[1,3,2,4,5,6,9,7,8] => 01000010 => 2
[2,3,1,4,5,6,9,7,8] => 01000010 => 2
[5,8,6,1,2,4,3,7] => 0110010 => 2
[4,1,5,7,3,6,8,2] => 1001001 => 2
[1,4,5,7,6,8,2,3] => 0001010 => 2
[5,7,2,1,6,8,4,3] => 0110011 => 1
[2,6,3,1,7,8,5,4] => 0110011 => 1
[6,2,5,7,4,1,8,3] => 1001101 => 2
[3,6,1,8,7,4,5,2] => 0101101 => 2
[4,3,9,5,6,7,8,2,1] => 10100011 => 2
[2,9,4,5,6,7,8,1,10,3] => 010000101 => 2
[3,2,8,5,6,7,1,9,4] => 10100101 => 3
[7,8,4,5,6,1,3,9,2] => 01001001 => 2
[3,4,1,9,6,7,8,2,5] => 01010010 => 3
[4,8,9,5,6,7,2,1,3] => 00100110 => 2
[4,3,10,5,6,7,8,9,2,1] => 101000011 => 2
[2,10,4,5,6,7,8,9,1,11,3] => 0100000101 => 2
[3,2,9,5,6,7,8,1,10,4] => 101000101 => 3
[8,9,4,5,6,7,1,3,10,2] => 010001001 => 2
[4,2,3,8,6,7,1,9,5] => 10010101 => 3
[6,8,4,5,1,3,7,9,2] => 01010001 => 2
[4,7,1,3,5,6,8,2] => 0100001 => 1
[4,3,5,7,8,2,6,1] => 1000101 => 2
[3,5,1,4,9,7,8,2,6] => 01001010 => 3
[8,3,4,9,6,7,2,5,1] => 10010101 => 3
[3,4,1,10,6,7,8,9,2,5] => 010100010 => 3
[4,7,9,5,6,2,1,8,3] => 00101101 => 2
[4,9,10,5,6,7,8,2,1,3] => 001000110 => 2
[5,3,2,7,6,4,1,8] => 1101110 => 2
[5,3,7,4,6,2,1,8] => 1010110 => 3
[5,7,3,2,1,8,6,4] => 0111011 => 1
[5,7,6,3,2,1,8,4] => 0111101 => 1
[3,2,7,5,4,1,8,6] => 1011101 => 2
[1,7,3,5,4,2,6,8] => 0101100 => 2
[5,3,7,4,1,8,6,2] => 1011011 => 2
[7,3,5,4,1,6,8,2] => 1011001 => 2
[7,5,1,6,8,3,2,4] => 1100110 => 2
[5,3,1,7,6,8,2,4] => 1101010 => 3
[7,1,5,3,2,4,8,6] => 1011001 => 2
[8,1,2,5,3,4,6,7,9] => 10010000 => 2
[7,1,5,2,4,3,6,8] => 1010100 => 3
[1,9,2,3,6,4,5,7,8] => 01001000 => 2
[9,1,2,3,6,4,5,7,8,10] => 100010000 => 2
[8,1,2,6,4,3,5,7,9] => 10011000 => 2
[8,1,2,6,3,5,4,7,9] => 10010100 => 3
[1,9,2,3,7,5,4,6,8] => 01001100 => 2
[1,9,2,3,7,4,6,5,8] => 01001010 => 3
[6,8,7,3,2,1,5,4] => 0111101 => 1
[3,6,8,7,2,4,1,5] => 0011010 => 2
[5,7,3,6,2,1,8,4] => 0101101 => 2
[3,6,5,2,4,8,1,7] => 0110010 => 2
[5,6,7,8,9,3,2,1,4] => 00001110 => 1
[6,7,8,9,3,4,1,2,5] => 00010100 => 2
[6,7,8,9,3,4,2,1,5] => 00010110 => 2
[7,8,9,3,4,5,1,2,6] => 00100100 => 2
[7,8,9,3,4,5,2,1,6] => 00100110 => 2
[7,8,9,4,5,2,3,1,6] => 00101010 => 3
[7,8,9,4,5,3,2,1,6] => 00101110 => 2
[8,9,4,5,6,2,3,1,7] => 01001010 => 3
[8,9,4,5,6,3,2,1,7] => 01001110 => 2
[8,9,5,6,3,4,1,2,7] => 01010100 => 3
[8,9,5,6,3,4,2,1,7] => 01010110 => 3
[8,9,5,6,4,3,2,1,7] => 01011110 => 2
[9,6,7,4,5,3,2,1,8] => 10101110 => 3
[5,6,7,8,9,10,3,2,1,4] => 000001110 => 1
[7,8,9,10,3,4,5,1,2,6] => 000100100 => 2
[7,8,9,10,3,4,5,2,1,6] => 000100110 => 2
[7,8,9,10,4,5,2,3,1,6] => 000101010 => 3
[7,8,9,10,4,5,3,2,1,6] => 000101110 => 2
[7,8,9,10,5,4,3,2,1,6] => 000111110 => 1
[8,9,10,3,4,5,6,1,2,7] => 001000100 => 2
[8,9,10,3,4,5,6,2,1,7] => 001000110 => 2
[8,9,10,4,5,6,1,2,3,7] => 001001000 => 2
[8,9,10,4,5,6,3,2,1,7] => 001001110 => 2
[8,9,10,5,6,3,4,1,2,7] => 001010100 => 3
[8,9,10,5,6,3,4,2,1,7] => 001010110 => 3
[8,9,10,5,6,4,3,2,1,7] => 001011110 => 2
[8,9,10,6,5,4,3,2,1,7] => 001111110 => 1
[9,10,5,6,7,2,3,4,1,8] => 010010010 => 3
[9,10,5,6,7,3,4,1,2,8] => 010010100 => 3
[9,10,5,6,7,3,4,2,1,8] => 010010110 => 3
[9,10,5,6,7,4,3,2,1,8] => 010011110 => 2
[9,10,6,7,4,5,3,2,1,8] => 010101110 => 3
[9,10,6,7,5,4,3,2,1,8] => 010111110 => 2
[9,10,7,6,5,4,3,2,1,8] => 011111110 => 1
[10,7,8,5,6,3,4,2,1,9] => 101010110 => 4
[10,7,8,5,6,4,3,2,1,9] => 101011110 => 3
[10,7,8,6,5,4,3,2,1,9] => 101111110 => 2
[1,8,3,6,2,4,7,5] => 0101001 => 2
[1,8,7,5,6,4,2,3] => 0110110 => 2
[6,8,2,1,5,4,3,7] => 0110110 => 2
[10,9,1,2,3,7,8,4,5,6] => 110000100 => 2
[10,9,1,2,8,7,3,4,5,6] => 110011000 => 2
[9,8,1,10,7,2,3,4,5,6] => 110110000 => 2
[8,6,1,2,3,4,5,9,10,7] => 110000001 => 1
[5,7,1,2,3,4,8,9,10,6] => 010000001 => 1
[8,11,1,2,3,4,5,9,10,6,7] => 0100000010 => 2
[10,4,1,2,3,7,8,9,5,6] => 110000010 => 2
[10,11,1,2,3,4,8,9,5,6,7] => 0100000100 => 2
[10,3,1,2,9,7,8,4,5,6] => 110010100 => 3
[2,9,1,10,8,7,3,4,5,6] => 010111000 => 2
[6,3,2,1,5,8,4,7] => 1110010 => 2
[4,3,5,6,2,8,1,7] => 1001010 => 3
[6,3,5,2,7,8,4,1] => 1010011 => 2
[4,5,3,1,6,8,2,7] => 0110010 => 2
[3,4,6,7,5,1,8,2] => 0001101 => 1
[7,4,1,2,5,6,8,3] => 1100001 => 1
[4,8,2,6,7,1,5,3] => 0100101 => 2
[6,5,8,3,7,1,4,2] => 1010101 => 3
[4,2,6,1,3,5,8,7,9] => 10100010 => 3
[4,2,6,1,8,3,5,7,9] => 10101000 => 3
[4,2,6,1,3,5,8,7,10,9] => 101000101 => 3
[4,2,8,1,3,6,5,7,9] => 10100100 => 3
[4,2,6,1,8,3,5,7,10,9] => 101010001 => 3
[4,2,6,1,9,3,5,8,7] => 10101001 => 3
[4,2,6,1,8,3,10,5,7,9] => 101010100 => 4
[9,7,1,8,2,3,4,5,6] => 11010000 => 2
[9,6,1,7,2,8,3,4,5] => 11010100 => 3
[8,6,1,9,7,2,3,4,5] => 11011000 => 2
[9,8,6,1,7,2,3,4,5] => 11101000 => 2
[8,5,1,9,6,2,7,3,4] => 11011010 => 3
[9,8,5,1,6,2,7,3,4] => 11101010 => 3
[9,7,5,1,8,6,2,3,4] => 11101100 => 2
[9,8,7,5,1,6,2,3,4] => 11110100 => 2
[9,7,4,1,8,5,2,6,3] => 11101101 => 2
[9,8,7,4,1,5,2,6,3] => 11110101 => 2
[8,6,4,1,9,7,5,2,3] => 11101110 => 2
[9,8,6,4,1,7,5,2,3] => 11110110 => 2
[9,8,7,6,4,1,5,2,3] => 11111010 => 2
[9,8,7,5,3,1,6,4,2] => 11111011 => 1
[10,7,1,8,2,9,3,4,5,6] => 110101000 => 3
[9,7,1,10,8,2,3,4,5,6] => 110110000 => 2
[10,9,7,1,8,2,3,4,5,6] => 111010000 => 2
[10,6,1,7,2,8,3,9,4,5] => 110101010 => 4
[9,6,1,10,7,2,8,3,4,5] => 110110100 => 3
[10,9,6,1,7,2,8,3,4,5] => 111010100 => 3
[10,8,6,1,9,7,2,3,4,5] => 111011000 => 2
[10,9,8,6,1,7,2,3,4,5] => 111101000 => 2
[9,5,1,10,6,2,7,3,8,4] => 110110101 => 3
[10,9,5,1,6,2,7,3,8,4] => 111010101 => 3
[8,5,1,9,6,2,10,7,3,4] => 110110110 => 3
[10,8,5,1,9,6,2,7,3,4] => 111011010 => 3
[10,9,8,5,1,6,2,7,3,4] => 111101010 => 3
[9,7,5,1,10,8,6,2,3,4] => 111011100 => 2
[10,9,7,5,1,8,6,2,3,4] => 111101100 => 2
[10,9,8,7,5,1,6,2,3,4] => 111110100 => 2
[9,7,4,1,10,8,5,2,6,3] => 111011101 => 2
[10,9,7,4,1,8,5,2,6,3] => 111101101 => 2
[10,9,8,7,4,1,5,2,6,3] => 111110101 => 2
[10,8,6,4,1,9,7,5,2,3] => 111101110 => 2
[10,9,8,6,4,1,7,5,2,3] => 111110110 => 2
[10,9,8,7,6,4,1,5,2,3] => 111111010 => 2
[10,9,7,5,3,1,8,6,4,2] => 111110111 => 1
[10,9,8,7,5,3,1,6,4,2] => 111111011 => 1
[10,9,8,7,6,5,3,1,4,2] => 111111101 => 1
[9,1,2,8,4,3,5,6,7] => 10011000 => 2
[8,1,9,3,2,4,6,5,7] => 10110010 => 3
[9,8,2,1,3,5,6,4,7] => 11100010 => 2
[8,1,9,2,4,5,6,3,7] => 10100010 => 3
[2,3,4,10,6,7,8,9,1,5] => 000100010 => 2
[2,3,10,5,6,7,8,9,1,4] => 001000010 => 2
[2,3,4,5,6,10,1,9,7,8] => 000001010 => 2
[2,3,4,5,6,7,11,9,10,1,8] => 0000001010 => 2
[2,3,4,5,10,1,8,9,6,7] => 000010010 => 2
[2,3,4,5,6,11,8,9,10,1,7] => 0000010010 => 2
[2,3,4,5,11,7,8,9,10,1,6] => 0000100010 => 2
[2,3,10,1,6,7,8,9,4,5] => 001000010 => 2
[2,3,4,11,6,7,8,9,10,1,5] => 0001000010 => 2
[2,3,11,5,6,7,8,9,10,1,4] => 0010000010 => 2
[1,5,2,4,7,6,8,3] => 0100101 => 2
[1,4,3,6,5,8,7,9,2] => 01010101 => 3
[1,4,2,6,5,8,7,9,3] => 01010101 => 3
[1,5,2,6,4,8,7,9,3] => 01010101 => 3
[1,5,2,7,4,8,6,9,3] => 01010101 => 3
[1,5,2,7,4,9,6,8,3] => 01010101 => 3
[1,5,2,7,4,6,9,8,3] => 01010011 => 2
[1,5,2,4,7,6,9,8,3] => 01001011 => 2
[1,2,5,4,7,6,9,8,3] => 00101011 => 2
[1,4,2,6,5,8,7,10,9,3] => 010101011 => 3
[1,5,2,6,3,8,7,9,4] => 01010101 => 3
[1,5,2,6,4,8,7,10,9,3] => 010101011 => 3
[1,6,2,7,4,8,5,9,3] => 01010101 => 3
[1,5,2,7,4,8,6,10,9,3] => 010101011 => 3
[1,5,2,8,4,9,6,7,3] => 01010101 => 3
[1,5,2,7,4,9,6,10,8,3] => 010101011 => 3
[1,5,2,7,4,6,8,9,3] => 01010001 => 2
[1,5,2,7,4,9,6,8,10,3] => 010101001 => 3
[1,5,2,4,7,9,6,8,3] => 01000101 => 2
[1,5,2,7,4,6,9,8,10,3] => 010100101 => 3
[1,2,5,7,4,6,9,8,3] => 00010011 => 1
[1,5,2,4,7,6,9,8,10,3] => 010010101 => 3
[1,2,5,4,7,6,9,8,10,3] => 001010101 => 3
[2,5,4,7,1,8,3,6] => 0101010 => 3
[1,5,4,7,3,8,2,6] => 0101010 => 3
[1,2,6,7,3,5,4,8] => 0001010 => 2
[8,1,2,4,6,3,5,7] => 1000100 => 2
[4,5,6,7,9,8,3,2,1] => 00001111 => 0
[5,4,6,7,8,9,3,2,1] => 10000111 => 1
[5,6,7,8,10,9,4,3,2,1] => 000011111 => 0
[6,5,7,8,9,4,3,2,1] => 10001111 => 1
[6,5,7,8,9,10,4,3,2,1] => 100001111 => 1
[5,6,7,8,9,11,10,4,3,2,1] => 0000011111 => 0
[4,5,6,7,8,10,9,3,2,1] => 000001111 => 0
[4,5,6,7,3,9,8,2,1] => 00010111 => 1
[3,5,6,7,9,8,4,2,1] => 00001111 => 0
[5,4,6,7,8,3,9,2,1] => 10001011 => 2
[4,3,6,7,8,9,5,2,1] => 10000111 => 1
[5,4,6,7,8,9,10,3,2,1] => 100000111 => 1
[3,4,5,6,8,9,7,1,2] => 00000110 => 1
[3,4,5,7,8,9,6,1,2] => 00000110 => 1
[3,5,6,7,8,9,4,1,2] => 00000110 => 1
[4,5,6,7,8,9,3,1,2] => 00000110 => 1
[3,4,5,6,7,9,10,8,1,2] => 000000110 => 1
[3,4,5,8,1,9,7,6,2] => 00010111 => 1
[3,4,5,6,8,9,10,7,1,2] => 000000110 => 1
[3,4,7,1,8,9,6,5,2] => 00100111 => 1
[3,6,1,7,8,9,4,5,2] => 01000101 => 2
[3,4,6,7,8,9,10,5,1,2] => 000000110 => 1
[5,1,6,7,8,9,4,3,2] => 10000111 => 1
[3,5,6,7,8,9,10,4,1,2] => 000000110 => 1
[1,5,6,7,8,9,3,2,4] => 00000110 => 1
[3,4,5,6,7,10,1,8,9,2] => 000001001 => 1
[3,4,5,6,7,8,10,11,9,1,2] => 0000000110 => 1
[3,4,5,8,9,6,7,1,2] => 00001010 => 2
[3,4,5,6,9,1,10,8,7,2] => 000010111 => 1
[3,4,5,6,7,9,10,11,8,1,2] => 0000000110 => 1
[3,4,7,8,5,9,6,1,2] => 00010110 => 2
[3,4,5,9,1,6,7,8,2] => 00010001 => 1
[3,4,5,8,1,9,10,7,6,2] => 000100111 => 1
[3,4,8,1,5,9,7,6,2] => 00100111 => 1
[3,4,7,1,8,9,10,5,6,2] => 001000101 => 2
[3,4,5,7,8,9,10,11,6,1,2] => 0000000110 => 1
[5,6,3,7,8,9,4,1,2] => 01000110 => 2
[3,7,8,4,5,6,1,2] => 0010010 => 2
[3,7,1,4,8,9,6,5,2] => 01000111 => 1
[3,6,1,7,8,9,10,5,4,2] => 010000111 => 1
[3,4,6,7,8,9,10,11,5,1,2] => 0000000110 => 1
[5,2,6,7,8,9,3,1,4] => 10000110 => 2
[6,1,3,7,8,9,4,5,2] => 10000101 => 2
[5,1,6,7,8,9,10,4,3,2] => 100000111 => 1
[1,2,6,7,8,9,4,3,5] => 00000110 => 1
[4,5,6,7,8,9,10,11,3,1,2] => 0000000110 => 1
[4,5,6,7,8,9,10,11,2,1,3] => 0000000110 => 1
[1,3,8,6,7,4,5,2] => 0010101 => 2
[2,6,5,3,7,1,8,4] => 0110101 => 2
[5,7,1,3,6,4,8,2] => 0100101 => 2
[8,2,5,4,1,7,3,6] => 1011010 => 3
[8,1,7,6,4,2,3,5] => 1011100 => 2
[1,8,6,3,7,4,5,2] => 0110101 => 2
[5,7,3,4,2,8,6,1] => 0101011 => 2
[5,8,3,4,2,7,6,1] => 0101011 => 2
[7,6,4,2,3,8,5,1] => 1110011 => 1
[3,5,6,8,2,4,7,1] => 0001001 => 1
[4,8,7,3,2,5,6,1] => 0111001 => 1
[3,7,4,2,6,8,5,1] => 0110011 => 1
[6,4,8,7,3,2,5,1] => 1011101 => 2
[5,6,2,8,7,4,3,1] => 0101111 => 1
[6,2,8,3,7,4,5,1] => 1010101 => 3
[3,7,5,6,4,2,8,1] => 0101101 => 2
[5,2,3,8,6,1,4,7] => 1001100 => 2
[1,4,3,8,5,6,2,7] => 0101010 => 3
[7,8,2,6,4,3,5,1] => 0101101 => 2
[4,5,8,7,2,3,6,1] => 0011001 => 1
[7,8,6,1,4,2,5,3] => 0110101 => 2
[6,10,5,1,2,3,4,7,8,9] => 011000000 => 1
[10,5,4,1,2,3,6,7,8,9] => 111000000 => 1
[8,3,6,5,2,7,1,4] => 1011010 => 3
[5,1,3,6,4,2,7,8] => 1001100 => 2
[6,1,2,4,7,5,3,8] => 1000110 => 2
[8,3,1,4,6,7,2,5] => 1100010 => 2
[7,8,5,1,2,6,3,4] => 0110010 => 2
[6,4,5,1,8,7,3,2] => 1010111 => 2
[8,6,2,1,7,3,5,4] => 1110101 => 2
[9,3,4,5,6,8,7,2,1] => 10000111 => 1
[9,4,3,5,6,7,8,2,1] => 11000011 => 1
[10,9,3,4,5,6,8,7,2,1] => 110000111 => 1
[9,8,3,4,5,7,6,2,1] => 11000111 => 1
[9,8,4,3,5,6,7,2,1] => 11100011 => 1
[10,9,4,3,5,6,7,8,2,1] => 111000011 => 1
[10,3,4,5,6,7,9,8,2,1] => 100000111 => 1
[9,3,4,5,6,2,8,7,1] => 10001011 => 2
[9,2,4,5,6,8,7,3,1] => 10000111 => 1
[9,4,3,5,6,7,2,8,1] => 11000101 => 2
[9,3,2,5,6,7,8,4,1] => 11000011 => 1
[10,4,3,5,6,7,8,9,2,1] => 110000011 => 1
[7,8,6,1,4,3,5,2] => 0110101 => 2
[4,6,3,5,7,2,8,1,9] => 01001010 => 3
[5,6,3,4,7,2,8,1,9] => 01001010 => 3
[4,3,6,2,5,7,1,8] => 1010010 => 3
[1,5,7,4,6,8,3,9,2] => 00100101 => 2
[1,6,5,7,3,4,8,2] => 0101001 => 2
[1,6,7,4,5,8,3,9,2] => 00100101 => 2
[1,7,5,6,8,4,9,3,10,2] => 010010101 => 3
[1,2,3,4,8,5,9,6,7] => 00001010 => 2
[1,2,3,4,5,8,6,9,7,10] => 000001010 => 2
[1,2,3,7,4,5,8,6,9] => 00010010 => 2
[1,2,3,4,8,6,5,7,9] => 00001100 => 1
[1,2,3,4,9,7,5,6,8] => 00001100 => 1
[1,2,3,4,5,9,6,10,7,8] => 000001010 => 2
[8,2,6,5,1,7,4,3] => 1011011 => 2
[7,6,4,1,2,5,8,3] => 1110001 => 1
[2,6,5,4,8,7,1,3] => 0110110 => 2
[5,6,7,1,3,2,4,8] => 0010100 => 2
[7,1,8,4,3,2,6,5] => 1011101 => 2
[2,1,4,9,3,5,6,7,8] => 10010000 => 2
[3,7,1,2,4,5,6,9,8] => 01000001 => 1
[3,1,2,6,9,4,5,7,8] => 10001000 => 2
[4,6,1,2,3,5,9,7,8] => 01000010 => 2
[1,8,5,2,7,6,4,3] => 0110111 => 1
[1,7,6,8,2,5,4,3] => 0101011 => 2
[1,7,8,6,2,5,4,3] => 0011011 => 1
[4,6,5,7,1,8,2,3] => 0101010 => 3
[7,5,3,6,8,4,2,1] => 1100111 => 1
[7,2,5,6,4,8,3,1] => 1001011 => 2
[7,4,6,2,8,5,3,1] => 1010111 => 2
[9,7,6,5,4,3,8,2,1] => 11111011 => 1
[9,8,6,5,4,7,3,2,1] => 11110111 => 1
[5,4,3,2,1,9,7,8,6] => 11110101 => 2
[10,8,7,6,5,4,3,9,2,1] => 111111011 => 1
[10,9,7,6,5,4,8,3,2,1] => 111110111 => 1
[1,6,3,4,2,5,8,7] => 0101001 => 2
[1,5,7,6,2,3,8,4] => 0011001 => 1
[1,4,3,7,6,2,5,8] => 0101100 => 2
[1,3,7,4,6,8,5,2] => 0010011 => 1
[3,7,4,6,8,1,5,2] => 0100101 => 2
[4,8,3,1,7,6,2,5] => 0110110 => 2
[2,6,7,5,3,4,1,8] => 0011010 => 2
[2,4,1,7,5,6,8,3] => 0101001 => 2
[7,2,4,8,3,5,1,6] => 1001010 => 3
[5,6,1,4,3,8,7,2] => 0101011 => 2
[5,8,6,4,3,1,7,2] => 0111101 => 1
[4,1,3,7,8,6,5,2] => 1000111 => 1
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Description
The number of descents of a binary word.
Map
descent word
Description
The descent positions of a permutation as a binary word.
For a permutation $\pi$ of $n$ letters and each $1\leq i\leq n-1$ such that $\pi(i) > \pi(i+1)$ we set $w_i=1$, otherwise $w_i=0$.
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.