Identifier
Values
[1] => => [] => 1
[1,2] => 0 => [1] => 1
[2,1] => 1 => [1] => 1
[1,2,3] => 00 => [2] => 1
[1,3,2] => 01 => [1,1] => 2
[2,1,3] => 10 => [1,1] => 2
[2,3,1] => 01 => [1,1] => 2
[3,1,2] => 10 => [1,1] => 2
[3,2,1] => 11 => [2] => 1
[1,2,3,4] => 000 => [3] => 1
[1,2,4,3] => 001 => [2,1] => 3
[1,3,2,4] => 010 => [1,1,1] => 5
[1,3,4,2] => 001 => [2,1] => 3
[1,4,2,3] => 010 => [1,1,1] => 5
[1,4,3,2] => 011 => [1,2] => 3
[2,1,3,4] => 100 => [1,2] => 3
[2,1,4,3] => 101 => [1,1,1] => 5
[2,3,1,4] => 010 => [1,1,1] => 5
[2,3,4,1] => 001 => [2,1] => 3
[2,4,1,3] => 010 => [1,1,1] => 5
[2,4,3,1] => 011 => [1,2] => 3
[3,1,2,4] => 100 => [1,2] => 3
[3,1,4,2] => 101 => [1,1,1] => 5
[3,2,1,4] => 110 => [2,1] => 3
[3,2,4,1] => 101 => [1,1,1] => 5
[3,4,1,2] => 010 => [1,1,1] => 5
[3,4,2,1] => 011 => [1,2] => 3
[4,1,2,3] => 100 => [1,2] => 3
[4,1,3,2] => 101 => [1,1,1] => 5
[4,2,1,3] => 110 => [2,1] => 3
[4,2,3,1] => 101 => [1,1,1] => 5
[4,3,1,2] => 110 => [2,1] => 3
[4,3,2,1] => 111 => [3] => 1
[1,2,3,4,5] => 0000 => [4] => 1
[1,2,3,5,4] => 0001 => [3,1] => 4
[1,2,4,3,5] => 0010 => [2,1,1] => 10
[1,2,4,5,3] => 0001 => [3,1] => 4
[1,2,5,3,4] => 0010 => [2,1,1] => 10
[1,2,5,4,3] => 0011 => [2,2] => 6
[1,3,2,4,5] => 0100 => [1,1,2] => 10
[1,3,2,5,4] => 0101 => [1,1,1,1] => 16
[1,3,4,2,5] => 0010 => [2,1,1] => 10
[1,3,4,5,2] => 0001 => [3,1] => 4
[1,3,5,2,4] => 0010 => [2,1,1] => 10
[1,3,5,4,2] => 0011 => [2,2] => 6
[1,4,2,3,5] => 0100 => [1,1,2] => 10
[1,4,2,5,3] => 0101 => [1,1,1,1] => 16
[1,4,3,2,5] => 0110 => [1,2,1] => 10
[1,4,3,5,2] => 0101 => [1,1,1,1] => 16
[1,4,5,2,3] => 0010 => [2,1,1] => 10
[1,4,5,3,2] => 0011 => [2,2] => 6
[1,5,2,3,4] => 0100 => [1,1,2] => 10
[1,5,2,4,3] => 0101 => [1,1,1,1] => 16
[1,5,3,2,4] => 0110 => [1,2,1] => 10
[1,5,3,4,2] => 0101 => [1,1,1,1] => 16
[1,5,4,2,3] => 0110 => [1,2,1] => 10
[1,5,4,3,2] => 0111 => [1,3] => 4
[2,1,3,4,5] => 1000 => [1,3] => 4
[2,1,3,5,4] => 1001 => [1,2,1] => 10
[2,1,4,3,5] => 1010 => [1,1,1,1] => 16
[2,1,4,5,3] => 1001 => [1,2,1] => 10
[2,1,5,3,4] => 1010 => [1,1,1,1] => 16
[2,1,5,4,3] => 1011 => [1,1,2] => 10
[2,3,1,4,5] => 0100 => [1,1,2] => 10
[2,3,1,5,4] => 0101 => [1,1,1,1] => 16
[2,3,4,1,5] => 0010 => [2,1,1] => 10
[2,3,4,5,1] => 0001 => [3,1] => 4
[2,3,5,1,4] => 0010 => [2,1,1] => 10
[2,3,5,4,1] => 0011 => [2,2] => 6
[2,4,1,3,5] => 0100 => [1,1,2] => 10
[2,4,1,5,3] => 0101 => [1,1,1,1] => 16
[2,4,3,1,5] => 0110 => [1,2,1] => 10
[2,4,3,5,1] => 0101 => [1,1,1,1] => 16
[2,4,5,1,3] => 0010 => [2,1,1] => 10
[2,4,5,3,1] => 0011 => [2,2] => 6
[2,5,1,3,4] => 0100 => [1,1,2] => 10
[2,5,1,4,3] => 0101 => [1,1,1,1] => 16
[2,5,3,1,4] => 0110 => [1,2,1] => 10
[2,5,3,4,1] => 0101 => [1,1,1,1] => 16
[2,5,4,1,3] => 0110 => [1,2,1] => 10
[2,5,4,3,1] => 0111 => [1,3] => 4
[3,1,2,4,5] => 1000 => [1,3] => 4
[3,1,2,5,4] => 1001 => [1,2,1] => 10
[3,1,4,2,5] => 1010 => [1,1,1,1] => 16
[3,1,4,5,2] => 1001 => [1,2,1] => 10
[3,1,5,2,4] => 1010 => [1,1,1,1] => 16
[3,1,5,4,2] => 1011 => [1,1,2] => 10
[3,2,1,4,5] => 1100 => [2,2] => 6
[3,2,1,5,4] => 1101 => [2,1,1] => 10
[3,2,4,1,5] => 1010 => [1,1,1,1] => 16
[3,2,4,5,1] => 1001 => [1,2,1] => 10
[3,2,5,1,4] => 1010 => [1,1,1,1] => 16
[3,2,5,4,1] => 1011 => [1,1,2] => 10
[3,4,1,2,5] => 0100 => [1,1,2] => 10
[3,4,1,5,2] => 0101 => [1,1,1,1] => 16
[3,4,2,1,5] => 0110 => [1,2,1] => 10
[3,4,2,5,1] => 0101 => [1,1,1,1] => 16
[3,4,5,1,2] => 0010 => [2,1,1] => 10
[3,4,5,2,1] => 0011 => [2,2] => 6
[3,5,1,2,4] => 0100 => [1,1,2] => 10
[3,5,1,4,2] => 0101 => [1,1,1,1] => 16
>>> Load all 35247 entries. <<<
[3,5,2,1,4] => 0110 => [1,2,1] => 10
[3,5,2,4,1] => 0101 => [1,1,1,1] => 16
[3,5,4,1,2] => 0110 => [1,2,1] => 10
[3,5,4,2,1] => 0111 => [1,3] => 4
[4,1,2,3,5] => 1000 => [1,3] => 4
[4,1,2,5,3] => 1001 => [1,2,1] => 10
[4,1,3,2,5] => 1010 => [1,1,1,1] => 16
[4,1,3,5,2] => 1001 => [1,2,1] => 10
[4,1,5,2,3] => 1010 => [1,1,1,1] => 16
[4,1,5,3,2] => 1011 => [1,1,2] => 10
[4,2,1,3,5] => 1100 => [2,2] => 6
[4,2,1,5,3] => 1101 => [2,1,1] => 10
[4,2,3,1,5] => 1010 => [1,1,1,1] => 16
[4,2,3,5,1] => 1001 => [1,2,1] => 10
[4,2,5,1,3] => 1010 => [1,1,1,1] => 16
[4,2,5,3,1] => 1011 => [1,1,2] => 10
[4,3,1,2,5] => 1100 => [2,2] => 6
[4,3,1,5,2] => 1101 => [2,1,1] => 10
[4,3,2,1,5] => 1110 => [3,1] => 4
[4,3,2,5,1] => 1101 => [2,1,1] => 10
[4,3,5,1,2] => 1010 => [1,1,1,1] => 16
[4,3,5,2,1] => 1011 => [1,1,2] => 10
[4,5,1,2,3] => 0100 => [1,1,2] => 10
[4,5,1,3,2] => 0101 => [1,1,1,1] => 16
[4,5,2,1,3] => 0110 => [1,2,1] => 10
[4,5,2,3,1] => 0101 => [1,1,1,1] => 16
[4,5,3,1,2] => 0110 => [1,2,1] => 10
[4,5,3,2,1] => 0111 => [1,3] => 4
[5,1,2,3,4] => 1000 => [1,3] => 4
[5,1,2,4,3] => 1001 => [1,2,1] => 10
[5,1,3,2,4] => 1010 => [1,1,1,1] => 16
[5,1,3,4,2] => 1001 => [1,2,1] => 10
[5,1,4,2,3] => 1010 => [1,1,1,1] => 16
[5,1,4,3,2] => 1011 => [1,1,2] => 10
[5,2,1,3,4] => 1100 => [2,2] => 6
[5,2,1,4,3] => 1101 => [2,1,1] => 10
[5,2,3,1,4] => 1010 => [1,1,1,1] => 16
[5,2,3,4,1] => 1001 => [1,2,1] => 10
[5,2,4,1,3] => 1010 => [1,1,1,1] => 16
[5,2,4,3,1] => 1011 => [1,1,2] => 10
[5,3,1,2,4] => 1100 => [2,2] => 6
[5,3,1,4,2] => 1101 => [2,1,1] => 10
[5,3,2,1,4] => 1110 => [3,1] => 4
[5,3,2,4,1] => 1101 => [2,1,1] => 10
[5,3,4,1,2] => 1010 => [1,1,1,1] => 16
[5,3,4,2,1] => 1011 => [1,1,2] => 10
[5,4,1,2,3] => 1100 => [2,2] => 6
[5,4,1,3,2] => 1101 => [2,1,1] => 10
[5,4,2,1,3] => 1110 => [3,1] => 4
[5,4,2,3,1] => 1101 => [2,1,1] => 10
[5,4,3,1,2] => 1110 => [3,1] => 4
[5,4,3,2,1] => 1111 => [4] => 1
[1,2,3,4,5,6] => 00000 => [5] => 1
[1,2,3,4,6,5] => 00001 => [4,1] => 5
[1,2,3,5,4,6] => 00010 => [3,1,1] => 17
[1,2,3,5,6,4] => 00001 => [4,1] => 5
[1,2,3,6,4,5] => 00010 => [3,1,1] => 17
[1,2,3,6,5,4] => 00011 => [3,2] => 10
[1,2,4,3,5,6] => 00100 => [2,1,2] => 24
[1,2,4,3,6,5] => 00101 => [2,1,1,1] => 39
[1,2,4,5,3,6] => 00010 => [3,1,1] => 17
[1,2,4,5,6,3] => 00001 => [4,1] => 5
[1,2,4,6,3,5] => 00010 => [3,1,1] => 17
[1,2,4,6,5,3] => 00011 => [3,2] => 10
[1,2,5,3,4,6] => 00100 => [2,1,2] => 24
[1,2,5,3,6,4] => 00101 => [2,1,1,1] => 39
[1,2,5,4,3,6] => 00110 => [2,2,1] => 24
[1,2,5,4,6,3] => 00101 => [2,1,1,1] => 39
[1,2,5,6,3,4] => 00010 => [3,1,1] => 17
[1,2,5,6,4,3] => 00011 => [3,2] => 10
[1,2,6,3,4,5] => 00100 => [2,1,2] => 24
[1,2,6,3,5,4] => 00101 => [2,1,1,1] => 39
[1,2,6,4,3,5] => 00110 => [2,2,1] => 24
[1,2,6,4,5,3] => 00101 => [2,1,1,1] => 39
[1,2,6,5,3,4] => 00110 => [2,2,1] => 24
[1,2,6,5,4,3] => 00111 => [2,3] => 10
[1,3,2,4,5,6] => 01000 => [1,1,3] => 17
[1,3,2,4,6,5] => 01001 => [1,1,2,1] => 40
[1,3,2,5,4,6] => 01010 => [1,1,1,1,1] => 63
[1,3,2,5,6,4] => 01001 => [1,1,2,1] => 40
[1,3,2,6,4,5] => 01010 => [1,1,1,1,1] => 63
[1,3,2,6,5,4] => 01011 => [1,1,1,2] => 40
[1,3,4,2,5,6] => 00100 => [2,1,2] => 24
[1,3,4,2,6,5] => 00101 => [2,1,1,1] => 39
[1,3,4,5,2,6] => 00010 => [3,1,1] => 17
[1,3,4,5,6,2] => 00001 => [4,1] => 5
[1,3,4,6,2,5] => 00010 => [3,1,1] => 17
[1,3,4,6,5,2] => 00011 => [3,2] => 10
[1,3,5,2,4,6] => 00100 => [2,1,2] => 24
[1,3,5,2,6,4] => 00101 => [2,1,1,1] => 39
[1,3,5,4,2,6] => 00110 => [2,2,1] => 24
[1,3,5,4,6,2] => 00101 => [2,1,1,1] => 39
[1,3,5,6,2,4] => 00010 => [3,1,1] => 17
[1,3,5,6,4,2] => 00011 => [3,2] => 10
[1,3,6,2,4,5] => 00100 => [2,1,2] => 24
[1,3,6,2,5,4] => 00101 => [2,1,1,1] => 39
[1,3,6,4,2,5] => 00110 => [2,2,1] => 24
[1,3,6,4,5,2] => 00101 => [2,1,1,1] => 39
[1,3,6,5,2,4] => 00110 => [2,2,1] => 24
[1,3,6,5,4,2] => 00111 => [2,3] => 10
[1,4,2,3,5,6] => 01000 => [1,1,3] => 17
[1,4,2,3,6,5] => 01001 => [1,1,2,1] => 40
[1,4,2,5,3,6] => 01010 => [1,1,1,1,1] => 63
[1,4,2,5,6,3] => 01001 => [1,1,2,1] => 40
[1,4,2,6,3,5] => 01010 => [1,1,1,1,1] => 63
[1,4,2,6,5,3] => 01011 => [1,1,1,2] => 40
[1,4,3,2,5,6] => 01100 => [1,2,2] => 24
[1,4,3,2,6,5] => 01101 => [1,2,1,1] => 39
[1,4,3,5,2,6] => 01010 => [1,1,1,1,1] => 63
[1,4,3,5,6,2] => 01001 => [1,1,2,1] => 40
[1,4,3,6,2,5] => 01010 => [1,1,1,1,1] => 63
[1,4,3,6,5,2] => 01011 => [1,1,1,2] => 40
[1,4,5,2,3,6] => 00100 => [2,1,2] => 24
[1,4,5,2,6,3] => 00101 => [2,1,1,1] => 39
[1,4,5,3,2,6] => 00110 => [2,2,1] => 24
[1,4,5,3,6,2] => 00101 => [2,1,1,1] => 39
[1,4,5,6,2,3] => 00010 => [3,1,1] => 17
[1,4,5,6,3,2] => 00011 => [3,2] => 10
[1,4,6,2,3,5] => 00100 => [2,1,2] => 24
[1,4,6,2,5,3] => 00101 => [2,1,1,1] => 39
[1,4,6,3,2,5] => 00110 => [2,2,1] => 24
[1,4,6,3,5,2] => 00101 => [2,1,1,1] => 39
[1,4,6,5,2,3] => 00110 => [2,2,1] => 24
[1,4,6,5,3,2] => 00111 => [2,3] => 10
[1,5,2,3,4,6] => 01000 => [1,1,3] => 17
[1,5,2,3,6,4] => 01001 => [1,1,2,1] => 40
[1,5,2,4,3,6] => 01010 => [1,1,1,1,1] => 63
[1,5,2,4,6,3] => 01001 => [1,1,2,1] => 40
[1,5,2,6,3,4] => 01010 => [1,1,1,1,1] => 63
[1,5,2,6,4,3] => 01011 => [1,1,1,2] => 40
[1,5,3,2,4,6] => 01100 => [1,2,2] => 24
[1,5,3,2,6,4] => 01101 => [1,2,1,1] => 39
[1,5,3,4,2,6] => 01010 => [1,1,1,1,1] => 63
[1,5,3,4,6,2] => 01001 => [1,1,2,1] => 40
[1,5,3,6,2,4] => 01010 => [1,1,1,1,1] => 63
[1,5,3,6,4,2] => 01011 => [1,1,1,2] => 40
[1,5,4,2,3,6] => 01100 => [1,2,2] => 24
[1,5,4,2,6,3] => 01101 => [1,2,1,1] => 39
[1,5,4,3,2,6] => 01110 => [1,3,1] => 17
[1,5,4,3,6,2] => 01101 => [1,2,1,1] => 39
[1,5,4,6,2,3] => 01010 => [1,1,1,1,1] => 63
[1,5,4,6,3,2] => 01011 => [1,1,1,2] => 40
[1,5,6,2,3,4] => 00100 => [2,1,2] => 24
[1,5,6,2,4,3] => 00101 => [2,1,1,1] => 39
[1,5,6,3,2,4] => 00110 => [2,2,1] => 24
[1,5,6,3,4,2] => 00101 => [2,1,1,1] => 39
[1,5,6,4,2,3] => 00110 => [2,2,1] => 24
[1,5,6,4,3,2] => 00111 => [2,3] => 10
[1,6,2,3,4,5] => 01000 => [1,1,3] => 17
[1,6,2,3,5,4] => 01001 => [1,1,2,1] => 40
[1,6,2,4,3,5] => 01010 => [1,1,1,1,1] => 63
[1,6,2,4,5,3] => 01001 => [1,1,2,1] => 40
[1,6,2,5,3,4] => 01010 => [1,1,1,1,1] => 63
[1,6,2,5,4,3] => 01011 => [1,1,1,2] => 40
[1,6,3,2,4,5] => 01100 => [1,2,2] => 24
[1,6,3,2,5,4] => 01101 => [1,2,1,1] => 39
[1,6,3,4,2,5] => 01010 => [1,1,1,1,1] => 63
[1,6,3,4,5,2] => 01001 => [1,1,2,1] => 40
[1,6,3,5,2,4] => 01010 => [1,1,1,1,1] => 63
[1,6,3,5,4,2] => 01011 => [1,1,1,2] => 40
[1,6,4,2,3,5] => 01100 => [1,2,2] => 24
[1,6,4,2,5,3] => 01101 => [1,2,1,1] => 39
[1,6,4,3,2,5] => 01110 => [1,3,1] => 17
[1,6,4,3,5,2] => 01101 => [1,2,1,1] => 39
[1,6,4,5,2,3] => 01010 => [1,1,1,1,1] => 63
[1,6,4,5,3,2] => 01011 => [1,1,1,2] => 40
[1,6,5,2,3,4] => 01100 => [1,2,2] => 24
[1,6,5,2,4,3] => 01101 => [1,2,1,1] => 39
[1,6,5,3,2,4] => 01110 => [1,3,1] => 17
[1,6,5,3,4,2] => 01101 => [1,2,1,1] => 39
[1,6,5,4,2,3] => 01110 => [1,3,1] => 17
[1,6,5,4,3,2] => 01111 => [1,4] => 5
[2,1,3,4,5,6] => 10000 => [1,4] => 5
[2,1,3,4,6,5] => 10001 => [1,3,1] => 17
[2,1,3,5,4,6] => 10010 => [1,2,1,1] => 39
[2,1,3,5,6,4] => 10001 => [1,3,1] => 17
[2,1,3,6,4,5] => 10010 => [1,2,1,1] => 39
[2,1,3,6,5,4] => 10011 => [1,2,2] => 24
[2,1,4,3,5,6] => 10100 => [1,1,1,2] => 40
[2,1,4,3,6,5] => 10101 => [1,1,1,1,1] => 63
[2,1,4,5,3,6] => 10010 => [1,2,1,1] => 39
[2,1,4,5,6,3] => 10001 => [1,3,1] => 17
[2,1,4,6,3,5] => 10010 => [1,2,1,1] => 39
[2,1,4,6,5,3] => 10011 => [1,2,2] => 24
[2,1,5,3,4,6] => 10100 => [1,1,1,2] => 40
[2,1,5,3,6,4] => 10101 => [1,1,1,1,1] => 63
[2,1,5,4,3,6] => 10110 => [1,1,2,1] => 40
[2,1,5,4,6,3] => 10101 => [1,1,1,1,1] => 63
[2,1,5,6,3,4] => 10010 => [1,2,1,1] => 39
[2,1,5,6,4,3] => 10011 => [1,2,2] => 24
[2,1,6,3,4,5] => 10100 => [1,1,1,2] => 40
[2,1,6,3,5,4] => 10101 => [1,1,1,1,1] => 63
[2,1,6,4,3,5] => 10110 => [1,1,2,1] => 40
[2,1,6,4,5,3] => 10101 => [1,1,1,1,1] => 63
[2,1,6,5,3,4] => 10110 => [1,1,2,1] => 40
[2,1,6,5,4,3] => 10111 => [1,1,3] => 17
[2,3,1,4,5,6] => 01000 => [1,1,3] => 17
[2,3,1,4,6,5] => 01001 => [1,1,2,1] => 40
[2,3,1,5,4,6] => 01010 => [1,1,1,1,1] => 63
[2,3,1,5,6,4] => 01001 => [1,1,2,1] => 40
[2,3,1,6,4,5] => 01010 => [1,1,1,1,1] => 63
[2,3,1,6,5,4] => 01011 => [1,1,1,2] => 40
[2,3,4,1,5,6] => 00100 => [2,1,2] => 24
[2,3,4,1,6,5] => 00101 => [2,1,1,1] => 39
[2,3,4,5,1,6] => 00010 => [3,1,1] => 17
[2,3,4,5,6,1] => 00001 => [4,1] => 5
[2,3,4,6,1,5] => 00010 => [3,1,1] => 17
[2,3,4,6,5,1] => 00011 => [3,2] => 10
[2,3,5,1,4,6] => 00100 => [2,1,2] => 24
[2,3,5,1,6,4] => 00101 => [2,1,1,1] => 39
[2,3,5,4,1,6] => 00110 => [2,2,1] => 24
[2,3,5,4,6,1] => 00101 => [2,1,1,1] => 39
[2,3,5,6,1,4] => 00010 => [3,1,1] => 17
[2,3,5,6,4,1] => 00011 => [3,2] => 10
[2,3,6,1,4,5] => 00100 => [2,1,2] => 24
[2,3,6,1,5,4] => 00101 => [2,1,1,1] => 39
[2,3,6,4,1,5] => 00110 => [2,2,1] => 24
[2,3,6,4,5,1] => 00101 => [2,1,1,1] => 39
[2,3,6,5,1,4] => 00110 => [2,2,1] => 24
[2,3,6,5,4,1] => 00111 => [2,3] => 10
[2,4,1,3,5,6] => 01000 => [1,1,3] => 17
[2,4,1,3,6,5] => 01001 => [1,1,2,1] => 40
[2,4,1,5,3,6] => 01010 => [1,1,1,1,1] => 63
[2,4,1,5,6,3] => 01001 => [1,1,2,1] => 40
[2,4,1,6,3,5] => 01010 => [1,1,1,1,1] => 63
[2,4,1,6,5,3] => 01011 => [1,1,1,2] => 40
[2,4,3,1,5,6] => 01100 => [1,2,2] => 24
[2,4,3,1,6,5] => 01101 => [1,2,1,1] => 39
[2,4,3,5,1,6] => 01010 => [1,1,1,1,1] => 63
[2,4,3,5,6,1] => 01001 => [1,1,2,1] => 40
[2,4,3,6,1,5] => 01010 => [1,1,1,1,1] => 63
[2,4,3,6,5,1] => 01011 => [1,1,1,2] => 40
[2,4,5,1,3,6] => 00100 => [2,1,2] => 24
[2,4,5,1,6,3] => 00101 => [2,1,1,1] => 39
[2,4,5,3,1,6] => 00110 => [2,2,1] => 24
[2,4,5,3,6,1] => 00101 => [2,1,1,1] => 39
[2,4,5,6,1,3] => 00010 => [3,1,1] => 17
[2,4,5,6,3,1] => 00011 => [3,2] => 10
[2,4,6,1,3,5] => 00100 => [2,1,2] => 24
[2,4,6,1,5,3] => 00101 => [2,1,1,1] => 39
[2,4,6,3,1,5] => 00110 => [2,2,1] => 24
[2,4,6,3,5,1] => 00101 => [2,1,1,1] => 39
[2,4,6,5,1,3] => 00110 => [2,2,1] => 24
[2,4,6,5,3,1] => 00111 => [2,3] => 10
[2,5,1,3,4,6] => 01000 => [1,1,3] => 17
[2,5,1,3,6,4] => 01001 => [1,1,2,1] => 40
[2,5,1,4,3,6] => 01010 => [1,1,1,1,1] => 63
[2,5,1,4,6,3] => 01001 => [1,1,2,1] => 40
[2,5,1,6,3,4] => 01010 => [1,1,1,1,1] => 63
[2,5,1,6,4,3] => 01011 => [1,1,1,2] => 40
[2,5,3,1,4,6] => 01100 => [1,2,2] => 24
[2,5,3,1,6,4] => 01101 => [1,2,1,1] => 39
[2,5,3,4,1,6] => 01010 => [1,1,1,1,1] => 63
[2,5,3,4,6,1] => 01001 => [1,1,2,1] => 40
[2,5,3,6,1,4] => 01010 => [1,1,1,1,1] => 63
[2,5,3,6,4,1] => 01011 => [1,1,1,2] => 40
[2,5,4,1,3,6] => 01100 => [1,2,2] => 24
[2,5,4,1,6,3] => 01101 => [1,2,1,1] => 39
[2,5,4,3,1,6] => 01110 => [1,3,1] => 17
[2,5,4,3,6,1] => 01101 => [1,2,1,1] => 39
[2,5,4,6,1,3] => 01010 => [1,1,1,1,1] => 63
[2,5,4,6,3,1] => 01011 => [1,1,1,2] => 40
[2,5,6,1,3,4] => 00100 => [2,1,2] => 24
[2,5,6,1,4,3] => 00101 => [2,1,1,1] => 39
[2,5,6,3,1,4] => 00110 => [2,2,1] => 24
[2,5,6,3,4,1] => 00101 => [2,1,1,1] => 39
[2,5,6,4,1,3] => 00110 => [2,2,1] => 24
[2,5,6,4,3,1] => 00111 => [2,3] => 10
[2,6,1,3,4,5] => 01000 => [1,1,3] => 17
[2,6,1,3,5,4] => 01001 => [1,1,2,1] => 40
[2,6,1,4,3,5] => 01010 => [1,1,1,1,1] => 63
[2,6,1,4,5,3] => 01001 => [1,1,2,1] => 40
[2,6,1,5,3,4] => 01010 => [1,1,1,1,1] => 63
[2,6,1,5,4,3] => 01011 => [1,1,1,2] => 40
[2,6,3,1,4,5] => 01100 => [1,2,2] => 24
[2,6,3,1,5,4] => 01101 => [1,2,1,1] => 39
[2,6,3,4,1,5] => 01010 => [1,1,1,1,1] => 63
[2,6,3,4,5,1] => 01001 => [1,1,2,1] => 40
[2,6,3,5,1,4] => 01010 => [1,1,1,1,1] => 63
[2,6,3,5,4,1] => 01011 => [1,1,1,2] => 40
[2,6,4,1,3,5] => 01100 => [1,2,2] => 24
[2,6,4,1,5,3] => 01101 => [1,2,1,1] => 39
[2,6,4,3,1,5] => 01110 => [1,3,1] => 17
[2,6,4,3,5,1] => 01101 => [1,2,1,1] => 39
[2,6,4,5,1,3] => 01010 => [1,1,1,1,1] => 63
[2,6,4,5,3,1] => 01011 => [1,1,1,2] => 40
[2,6,5,1,3,4] => 01100 => [1,2,2] => 24
[2,6,5,1,4,3] => 01101 => [1,2,1,1] => 39
[2,6,5,3,1,4] => 01110 => [1,3,1] => 17
[2,6,5,3,4,1] => 01101 => [1,2,1,1] => 39
[2,6,5,4,1,3] => 01110 => [1,3,1] => 17
[2,6,5,4,3,1] => 01111 => [1,4] => 5
[3,1,2,4,5,6] => 10000 => [1,4] => 5
[3,1,2,4,6,5] => 10001 => [1,3,1] => 17
[3,1,2,5,4,6] => 10010 => [1,2,1,1] => 39
[3,1,2,5,6,4] => 10001 => [1,3,1] => 17
[3,1,2,6,4,5] => 10010 => [1,2,1,1] => 39
[3,1,2,6,5,4] => 10011 => [1,2,2] => 24
[3,1,4,2,5,6] => 10100 => [1,1,1,2] => 40
[3,1,4,2,6,5] => 10101 => [1,1,1,1,1] => 63
[3,1,4,5,2,6] => 10010 => [1,2,1,1] => 39
[3,1,4,5,6,2] => 10001 => [1,3,1] => 17
[3,1,4,6,2,5] => 10010 => [1,2,1,1] => 39
[3,1,4,6,5,2] => 10011 => [1,2,2] => 24
[3,1,5,2,4,6] => 10100 => [1,1,1,2] => 40
[3,1,5,2,6,4] => 10101 => [1,1,1,1,1] => 63
[3,1,5,4,2,6] => 10110 => [1,1,2,1] => 40
[3,1,5,4,6,2] => 10101 => [1,1,1,1,1] => 63
[3,1,5,6,2,4] => 10010 => [1,2,1,1] => 39
[3,1,5,6,4,2] => 10011 => [1,2,2] => 24
[3,1,6,2,4,5] => 10100 => [1,1,1,2] => 40
[3,1,6,2,5,4] => 10101 => [1,1,1,1,1] => 63
[3,1,6,4,2,5] => 10110 => [1,1,2,1] => 40
[3,1,6,4,5,2] => 10101 => [1,1,1,1,1] => 63
[3,1,6,5,2,4] => 10110 => [1,1,2,1] => 40
[3,1,6,5,4,2] => 10111 => [1,1,3] => 17
[3,2,1,4,5,6] => 11000 => [2,3] => 10
[3,2,1,4,6,5] => 11001 => [2,2,1] => 24
[3,2,1,5,4,6] => 11010 => [2,1,1,1] => 39
[3,2,1,5,6,4] => 11001 => [2,2,1] => 24
[3,2,1,6,4,5] => 11010 => [2,1,1,1] => 39
[3,2,1,6,5,4] => 11011 => [2,1,2] => 24
[3,2,4,1,5,6] => 10100 => [1,1,1,2] => 40
[3,2,4,1,6,5] => 10101 => [1,1,1,1,1] => 63
[3,2,4,5,1,6] => 10010 => [1,2,1,1] => 39
[3,2,4,5,6,1] => 10001 => [1,3,1] => 17
[3,2,4,6,1,5] => 10010 => [1,2,1,1] => 39
[3,2,4,6,5,1] => 10011 => [1,2,2] => 24
[3,2,5,1,4,6] => 10100 => [1,1,1,2] => 40
[3,2,5,1,6,4] => 10101 => [1,1,1,1,1] => 63
[3,2,5,4,1,6] => 10110 => [1,1,2,1] => 40
[3,2,5,4,6,1] => 10101 => [1,1,1,1,1] => 63
[3,2,5,6,1,4] => 10010 => [1,2,1,1] => 39
[3,2,5,6,4,1] => 10011 => [1,2,2] => 24
[3,2,6,1,4,5] => 10100 => [1,1,1,2] => 40
[3,2,6,1,5,4] => 10101 => [1,1,1,1,1] => 63
[3,2,6,4,1,5] => 10110 => [1,1,2,1] => 40
[3,2,6,4,5,1] => 10101 => [1,1,1,1,1] => 63
[3,2,6,5,1,4] => 10110 => [1,1,2,1] => 40
[3,2,6,5,4,1] => 10111 => [1,1,3] => 17
[3,4,1,2,5,6] => 01000 => [1,1,3] => 17
[3,4,1,2,6,5] => 01001 => [1,1,2,1] => 40
[3,4,1,5,2,6] => 01010 => [1,1,1,1,1] => 63
[3,4,1,5,6,2] => 01001 => [1,1,2,1] => 40
[3,4,1,6,2,5] => 01010 => [1,1,1,1,1] => 63
[3,4,1,6,5,2] => 01011 => [1,1,1,2] => 40
[3,4,2,1,5,6] => 01100 => [1,2,2] => 24
[3,4,2,1,6,5] => 01101 => [1,2,1,1] => 39
[3,4,2,5,1,6] => 01010 => [1,1,1,1,1] => 63
[3,4,2,5,6,1] => 01001 => [1,1,2,1] => 40
[3,4,2,6,1,5] => 01010 => [1,1,1,1,1] => 63
[3,4,2,6,5,1] => 01011 => [1,1,1,2] => 40
[3,4,5,1,2,6] => 00100 => [2,1,2] => 24
[3,4,5,1,6,2] => 00101 => [2,1,1,1] => 39
[3,4,5,2,1,6] => 00110 => [2,2,1] => 24
[3,4,5,2,6,1] => 00101 => [2,1,1,1] => 39
[3,4,5,6,1,2] => 00010 => [3,1,1] => 17
[3,4,5,6,2,1] => 00011 => [3,2] => 10
[3,4,6,1,2,5] => 00100 => [2,1,2] => 24
[3,4,6,1,5,2] => 00101 => [2,1,1,1] => 39
[3,4,6,2,1,5] => 00110 => [2,2,1] => 24
[3,4,6,2,5,1] => 00101 => [2,1,1,1] => 39
[3,4,6,5,1,2] => 00110 => [2,2,1] => 24
[3,4,6,5,2,1] => 00111 => [2,3] => 10
[3,5,1,2,4,6] => 01000 => [1,1,3] => 17
[3,5,1,2,6,4] => 01001 => [1,1,2,1] => 40
[3,5,1,4,2,6] => 01010 => [1,1,1,1,1] => 63
[3,5,1,4,6,2] => 01001 => [1,1,2,1] => 40
[3,5,1,6,2,4] => 01010 => [1,1,1,1,1] => 63
[3,5,1,6,4,2] => 01011 => [1,1,1,2] => 40
[3,5,2,1,4,6] => 01100 => [1,2,2] => 24
[3,5,2,1,6,4] => 01101 => [1,2,1,1] => 39
[3,5,2,4,1,6] => 01010 => [1,1,1,1,1] => 63
[3,5,2,4,6,1] => 01001 => [1,1,2,1] => 40
[3,5,2,6,1,4] => 01010 => [1,1,1,1,1] => 63
[3,5,2,6,4,1] => 01011 => [1,1,1,2] => 40
[3,5,4,1,2,6] => 01100 => [1,2,2] => 24
[3,5,4,1,6,2] => 01101 => [1,2,1,1] => 39
[3,5,4,2,1,6] => 01110 => [1,3,1] => 17
[3,5,4,2,6,1] => 01101 => [1,2,1,1] => 39
[3,5,4,6,1,2] => 01010 => [1,1,1,1,1] => 63
[3,5,4,6,2,1] => 01011 => [1,1,1,2] => 40
[3,5,6,1,2,4] => 00100 => [2,1,2] => 24
[3,5,6,1,4,2] => 00101 => [2,1,1,1] => 39
[3,5,6,2,1,4] => 00110 => [2,2,1] => 24
[3,5,6,2,4,1] => 00101 => [2,1,1,1] => 39
[3,5,6,4,1,2] => 00110 => [2,2,1] => 24
[3,5,6,4,2,1] => 00111 => [2,3] => 10
[3,6,1,2,4,5] => 01000 => [1,1,3] => 17
[3,6,1,2,5,4] => 01001 => [1,1,2,1] => 40
[3,6,1,4,2,5] => 01010 => [1,1,1,1,1] => 63
[3,6,1,4,5,2] => 01001 => [1,1,2,1] => 40
[3,6,1,5,2,4] => 01010 => [1,1,1,1,1] => 63
[3,6,1,5,4,2] => 01011 => [1,1,1,2] => 40
[3,6,2,1,4,5] => 01100 => [1,2,2] => 24
[3,6,2,1,5,4] => 01101 => [1,2,1,1] => 39
[3,6,2,4,1,5] => 01010 => [1,1,1,1,1] => 63
[3,6,2,4,5,1] => 01001 => [1,1,2,1] => 40
[3,6,2,5,1,4] => 01010 => [1,1,1,1,1] => 63
[3,6,2,5,4,1] => 01011 => [1,1,1,2] => 40
[3,6,4,1,2,5] => 01100 => [1,2,2] => 24
[3,6,4,1,5,2] => 01101 => [1,2,1,1] => 39
[3,6,4,2,1,5] => 01110 => [1,3,1] => 17
[3,6,4,2,5,1] => 01101 => [1,2,1,1] => 39
[3,6,4,5,1,2] => 01010 => [1,1,1,1,1] => 63
[3,6,4,5,2,1] => 01011 => [1,1,1,2] => 40
[3,6,5,1,2,4] => 01100 => [1,2,2] => 24
[3,6,5,1,4,2] => 01101 => [1,2,1,1] => 39
[3,6,5,2,1,4] => 01110 => [1,3,1] => 17
[3,6,5,2,4,1] => 01101 => [1,2,1,1] => 39
[3,6,5,4,1,2] => 01110 => [1,3,1] => 17
[3,6,5,4,2,1] => 01111 => [1,4] => 5
[4,1,2,3,5,6] => 10000 => [1,4] => 5
[4,1,2,3,6,5] => 10001 => [1,3,1] => 17
[4,1,2,5,3,6] => 10010 => [1,2,1,1] => 39
[4,1,2,5,6,3] => 10001 => [1,3,1] => 17
[4,1,2,6,3,5] => 10010 => [1,2,1,1] => 39
[4,1,2,6,5,3] => 10011 => [1,2,2] => 24
[4,1,3,2,5,6] => 10100 => [1,1,1,2] => 40
[4,1,3,2,6,5] => 10101 => [1,1,1,1,1] => 63
[4,1,3,5,2,6] => 10010 => [1,2,1,1] => 39
[4,1,3,5,6,2] => 10001 => [1,3,1] => 17
[4,1,3,6,2,5] => 10010 => [1,2,1,1] => 39
[4,1,3,6,5,2] => 10011 => [1,2,2] => 24
[4,1,5,2,3,6] => 10100 => [1,1,1,2] => 40
[4,1,5,2,6,3] => 10101 => [1,1,1,1,1] => 63
[4,1,5,3,2,6] => 10110 => [1,1,2,1] => 40
[4,1,5,3,6,2] => 10101 => [1,1,1,1,1] => 63
[4,1,5,6,2,3] => 10010 => [1,2,1,1] => 39
[4,1,5,6,3,2] => 10011 => [1,2,2] => 24
[4,1,6,2,3,5] => 10100 => [1,1,1,2] => 40
[4,1,6,2,5,3] => 10101 => [1,1,1,1,1] => 63
[4,1,6,3,2,5] => 10110 => [1,1,2,1] => 40
[4,1,6,3,5,2] => 10101 => [1,1,1,1,1] => 63
[4,1,6,5,2,3] => 10110 => [1,1,2,1] => 40
[4,1,6,5,3,2] => 10111 => [1,1,3] => 17
[4,2,1,3,5,6] => 11000 => [2,3] => 10
[4,2,1,3,6,5] => 11001 => [2,2,1] => 24
[4,2,1,5,3,6] => 11010 => [2,1,1,1] => 39
[4,2,1,5,6,3] => 11001 => [2,2,1] => 24
[4,2,1,6,3,5] => 11010 => [2,1,1,1] => 39
[4,2,1,6,5,3] => 11011 => [2,1,2] => 24
[4,2,3,1,5,6] => 10100 => [1,1,1,2] => 40
[4,2,3,1,6,5] => 10101 => [1,1,1,1,1] => 63
[4,2,3,5,1,6] => 10010 => [1,2,1,1] => 39
[4,2,3,5,6,1] => 10001 => [1,3,1] => 17
[4,2,3,6,1,5] => 10010 => [1,2,1,1] => 39
[4,2,3,6,5,1] => 10011 => [1,2,2] => 24
[4,2,5,1,3,6] => 10100 => [1,1,1,2] => 40
[4,2,5,1,6,3] => 10101 => [1,1,1,1,1] => 63
[4,2,5,3,1,6] => 10110 => [1,1,2,1] => 40
[4,2,5,3,6,1] => 10101 => [1,1,1,1,1] => 63
[4,2,5,6,1,3] => 10010 => [1,2,1,1] => 39
[4,2,5,6,3,1] => 10011 => [1,2,2] => 24
[4,2,6,1,3,5] => 10100 => [1,1,1,2] => 40
[4,2,6,1,5,3] => 10101 => [1,1,1,1,1] => 63
[4,2,6,3,1,5] => 10110 => [1,1,2,1] => 40
[4,2,6,3,5,1] => 10101 => [1,1,1,1,1] => 63
[4,2,6,5,1,3] => 10110 => [1,1,2,1] => 40
[4,2,6,5,3,1] => 10111 => [1,1,3] => 17
[4,3,1,2,5,6] => 11000 => [2,3] => 10
[4,3,1,2,6,5] => 11001 => [2,2,1] => 24
[4,3,1,5,2,6] => 11010 => [2,1,1,1] => 39
[4,3,1,5,6,2] => 11001 => [2,2,1] => 24
[4,3,1,6,2,5] => 11010 => [2,1,1,1] => 39
[4,3,1,6,5,2] => 11011 => [2,1,2] => 24
[4,3,2,1,5,6] => 11100 => [3,2] => 10
[4,3,2,1,6,5] => 11101 => [3,1,1] => 17
[4,3,2,5,1,6] => 11010 => [2,1,1,1] => 39
[4,3,2,5,6,1] => 11001 => [2,2,1] => 24
[4,3,2,6,1,5] => 11010 => [2,1,1,1] => 39
[4,3,2,6,5,1] => 11011 => [2,1,2] => 24
[4,3,5,1,2,6] => 10100 => [1,1,1,2] => 40
[4,3,5,1,6,2] => 10101 => [1,1,1,1,1] => 63
[4,3,5,2,1,6] => 10110 => [1,1,2,1] => 40
[4,3,5,2,6,1] => 10101 => [1,1,1,1,1] => 63
[4,3,5,6,1,2] => 10010 => [1,2,1,1] => 39
[4,3,5,6,2,1] => 10011 => [1,2,2] => 24
[4,3,6,1,2,5] => 10100 => [1,1,1,2] => 40
[4,3,6,1,5,2] => 10101 => [1,1,1,1,1] => 63
[4,3,6,2,1,5] => 10110 => [1,1,2,1] => 40
[4,3,6,2,5,1] => 10101 => [1,1,1,1,1] => 63
[4,3,6,5,1,2] => 10110 => [1,1,2,1] => 40
[4,3,6,5,2,1] => 10111 => [1,1,3] => 17
[4,5,1,2,3,6] => 01000 => [1,1,3] => 17
[4,5,1,2,6,3] => 01001 => [1,1,2,1] => 40
[4,5,1,3,2,6] => 01010 => [1,1,1,1,1] => 63
[4,5,1,3,6,2] => 01001 => [1,1,2,1] => 40
[4,5,1,6,2,3] => 01010 => [1,1,1,1,1] => 63
[4,5,1,6,3,2] => 01011 => [1,1,1,2] => 40
[4,5,2,1,3,6] => 01100 => [1,2,2] => 24
[4,5,2,1,6,3] => 01101 => [1,2,1,1] => 39
[4,5,2,3,1,6] => 01010 => [1,1,1,1,1] => 63
[4,5,2,3,6,1] => 01001 => [1,1,2,1] => 40
[4,5,2,6,1,3] => 01010 => [1,1,1,1,1] => 63
[4,5,2,6,3,1] => 01011 => [1,1,1,2] => 40
[4,5,3,1,2,6] => 01100 => [1,2,2] => 24
[4,5,3,1,6,2] => 01101 => [1,2,1,1] => 39
[4,5,3,2,1,6] => 01110 => [1,3,1] => 17
[4,5,3,2,6,1] => 01101 => [1,2,1,1] => 39
[4,5,3,6,1,2] => 01010 => [1,1,1,1,1] => 63
[4,5,3,6,2,1] => 01011 => [1,1,1,2] => 40
[4,5,6,1,2,3] => 00100 => [2,1,2] => 24
[4,5,6,1,3,2] => 00101 => [2,1,1,1] => 39
[4,5,6,2,1,3] => 00110 => [2,2,1] => 24
[4,5,6,2,3,1] => 00101 => [2,1,1,1] => 39
[4,5,6,3,1,2] => 00110 => [2,2,1] => 24
[4,5,6,3,2,1] => 00111 => [2,3] => 10
[4,6,1,2,3,5] => 01000 => [1,1,3] => 17
[4,6,1,2,5,3] => 01001 => [1,1,2,1] => 40
[4,6,1,3,2,5] => 01010 => [1,1,1,1,1] => 63
[4,6,1,3,5,2] => 01001 => [1,1,2,1] => 40
[4,6,1,5,2,3] => 01010 => [1,1,1,1,1] => 63
[4,6,1,5,3,2] => 01011 => [1,1,1,2] => 40
[4,6,2,1,3,5] => 01100 => [1,2,2] => 24
[4,6,2,1,5,3] => 01101 => [1,2,1,1] => 39
[4,6,2,3,1,5] => 01010 => [1,1,1,1,1] => 63
[4,6,2,3,5,1] => 01001 => [1,1,2,1] => 40
[4,6,2,5,1,3] => 01010 => [1,1,1,1,1] => 63
[4,6,2,5,3,1] => 01011 => [1,1,1,2] => 40
[4,6,3,1,2,5] => 01100 => [1,2,2] => 24
[4,6,3,1,5,2] => 01101 => [1,2,1,1] => 39
[4,6,3,2,1,5] => 01110 => [1,3,1] => 17
[4,6,3,2,5,1] => 01101 => [1,2,1,1] => 39
[4,6,3,5,1,2] => 01010 => [1,1,1,1,1] => 63
[4,6,3,5,2,1] => 01011 => [1,1,1,2] => 40
[4,6,5,1,2,3] => 01100 => [1,2,2] => 24
[4,6,5,1,3,2] => 01101 => [1,2,1,1] => 39
[4,6,5,2,1,3] => 01110 => [1,3,1] => 17
[4,6,5,2,3,1] => 01101 => [1,2,1,1] => 39
[4,6,5,3,1,2] => 01110 => [1,3,1] => 17
[4,6,5,3,2,1] => 01111 => [1,4] => 5
[5,1,2,3,4,6] => 10000 => [1,4] => 5
[5,1,2,3,6,4] => 10001 => [1,3,1] => 17
[5,1,2,4,3,6] => 10010 => [1,2,1,1] => 39
[5,1,2,4,6,3] => 10001 => [1,3,1] => 17
[5,1,2,6,3,4] => 10010 => [1,2,1,1] => 39
[5,1,2,6,4,3] => 10011 => [1,2,2] => 24
[5,1,3,2,4,6] => 10100 => [1,1,1,2] => 40
[5,1,3,2,6,4] => 10101 => [1,1,1,1,1] => 63
[5,1,3,4,2,6] => 10010 => [1,2,1,1] => 39
[5,1,3,4,6,2] => 10001 => [1,3,1] => 17
[5,1,3,6,2,4] => 10010 => [1,2,1,1] => 39
[5,1,3,6,4,2] => 10011 => [1,2,2] => 24
[5,1,4,2,3,6] => 10100 => [1,1,1,2] => 40
[5,1,4,2,6,3] => 10101 => [1,1,1,1,1] => 63
[5,1,4,3,2,6] => 10110 => [1,1,2,1] => 40
[5,1,4,3,6,2] => 10101 => [1,1,1,1,1] => 63
[5,1,4,6,2,3] => 10010 => [1,2,1,1] => 39
[5,1,4,6,3,2] => 10011 => [1,2,2] => 24
[5,1,6,2,3,4] => 10100 => [1,1,1,2] => 40
[5,1,6,2,4,3] => 10101 => [1,1,1,1,1] => 63
[5,1,6,3,2,4] => 10110 => [1,1,2,1] => 40
[5,1,6,3,4,2] => 10101 => [1,1,1,1,1] => 63
[5,1,6,4,2,3] => 10110 => [1,1,2,1] => 40
[5,1,6,4,3,2] => 10111 => [1,1,3] => 17
[5,2,1,3,4,6] => 11000 => [2,3] => 10
[5,2,1,3,6,4] => 11001 => [2,2,1] => 24
[5,2,1,4,3,6] => 11010 => [2,1,1,1] => 39
[5,2,1,4,6,3] => 11001 => [2,2,1] => 24
[5,2,1,6,3,4] => 11010 => [2,1,1,1] => 39
[5,2,1,6,4,3] => 11011 => [2,1,2] => 24
[5,2,3,1,4,6] => 10100 => [1,1,1,2] => 40
[5,2,3,1,6,4] => 10101 => [1,1,1,1,1] => 63
[5,2,3,4,1,6] => 10010 => [1,2,1,1] => 39
[5,2,3,4,6,1] => 10001 => [1,3,1] => 17
[5,2,3,6,1,4] => 10010 => [1,2,1,1] => 39
[5,2,3,6,4,1] => 10011 => [1,2,2] => 24
[5,2,4,1,3,6] => 10100 => [1,1,1,2] => 40
[5,2,4,1,6,3] => 10101 => [1,1,1,1,1] => 63
[5,2,4,3,1,6] => 10110 => [1,1,2,1] => 40
[5,2,4,3,6,1] => 10101 => [1,1,1,1,1] => 63
[5,2,4,6,1,3] => 10010 => [1,2,1,1] => 39
[5,2,4,6,3,1] => 10011 => [1,2,2] => 24
[5,2,6,1,3,4] => 10100 => [1,1,1,2] => 40
[5,2,6,1,4,3] => 10101 => [1,1,1,1,1] => 63
[5,2,6,3,1,4] => 10110 => [1,1,2,1] => 40
[5,2,6,3,4,1] => 10101 => [1,1,1,1,1] => 63
[5,2,6,4,1,3] => 10110 => [1,1,2,1] => 40
[5,2,6,4,3,1] => 10111 => [1,1,3] => 17
[5,3,1,2,4,6] => 11000 => [2,3] => 10
[5,3,1,2,6,4] => 11001 => [2,2,1] => 24
[5,3,1,4,2,6] => 11010 => [2,1,1,1] => 39
[5,3,1,4,6,2] => 11001 => [2,2,1] => 24
[5,3,1,6,2,4] => 11010 => [2,1,1,1] => 39
[5,3,1,6,4,2] => 11011 => [2,1,2] => 24
[5,3,2,1,4,6] => 11100 => [3,2] => 10
[5,3,2,1,6,4] => 11101 => [3,1,1] => 17
[5,3,2,4,1,6] => 11010 => [2,1,1,1] => 39
[5,3,2,4,6,1] => 11001 => [2,2,1] => 24
[5,3,2,6,1,4] => 11010 => [2,1,1,1] => 39
[5,3,2,6,4,1] => 11011 => [2,1,2] => 24
[5,3,4,1,2,6] => 10100 => [1,1,1,2] => 40
[5,3,4,1,6,2] => 10101 => [1,1,1,1,1] => 63
[5,3,4,2,1,6] => 10110 => [1,1,2,1] => 40
[5,3,4,2,6,1] => 10101 => [1,1,1,1,1] => 63
[5,3,4,6,1,2] => 10010 => [1,2,1,1] => 39
[5,3,4,6,2,1] => 10011 => [1,2,2] => 24
[5,3,6,1,2,4] => 10100 => [1,1,1,2] => 40
[5,3,6,1,4,2] => 10101 => [1,1,1,1,1] => 63
[5,3,6,2,1,4] => 10110 => [1,1,2,1] => 40
[5,3,6,2,4,1] => 10101 => [1,1,1,1,1] => 63
[5,3,6,4,1,2] => 10110 => [1,1,2,1] => 40
[5,3,6,4,2,1] => 10111 => [1,1,3] => 17
[5,4,1,2,3,6] => 11000 => [2,3] => 10
[5,4,1,2,6,3] => 11001 => [2,2,1] => 24
[5,4,1,3,2,6] => 11010 => [2,1,1,1] => 39
[5,4,1,3,6,2] => 11001 => [2,2,1] => 24
[5,4,1,6,2,3] => 11010 => [2,1,1,1] => 39
[5,4,1,6,3,2] => 11011 => [2,1,2] => 24
[5,4,2,1,3,6] => 11100 => [3,2] => 10
[5,4,2,1,6,3] => 11101 => [3,1,1] => 17
[5,4,2,3,1,6] => 11010 => [2,1,1,1] => 39
[5,4,2,3,6,1] => 11001 => [2,2,1] => 24
[5,4,2,6,1,3] => 11010 => [2,1,1,1] => 39
[5,4,2,6,3,1] => 11011 => [2,1,2] => 24
[5,4,3,1,2,6] => 11100 => [3,2] => 10
[5,4,3,1,6,2] => 11101 => [3,1,1] => 17
[5,4,3,2,1,6] => 11110 => [4,1] => 5
[5,4,3,2,6,1] => 11101 => [3,1,1] => 17
[5,4,3,6,1,2] => 11010 => [2,1,1,1] => 39
[5,4,3,6,2,1] => 11011 => [2,1,2] => 24
[5,4,6,1,2,3] => 10100 => [1,1,1,2] => 40
[5,4,6,1,3,2] => 10101 => [1,1,1,1,1] => 63
[5,4,6,2,1,3] => 10110 => [1,1,2,1] => 40
[5,4,6,2,3,1] => 10101 => [1,1,1,1,1] => 63
[5,4,6,3,1,2] => 10110 => [1,1,2,1] => 40
[5,4,6,3,2,1] => 10111 => [1,1,3] => 17
[5,6,1,2,3,4] => 01000 => [1,1,3] => 17
[5,6,1,2,4,3] => 01001 => [1,1,2,1] => 40
[5,6,1,3,2,4] => 01010 => [1,1,1,1,1] => 63
[5,6,1,3,4,2] => 01001 => [1,1,2,1] => 40
[5,6,1,4,2,3] => 01010 => [1,1,1,1,1] => 63
[5,6,1,4,3,2] => 01011 => [1,1,1,2] => 40
[5,6,2,1,3,4] => 01100 => [1,2,2] => 24
[5,6,2,1,4,3] => 01101 => [1,2,1,1] => 39
[5,6,2,3,1,4] => 01010 => [1,1,1,1,1] => 63
[5,6,2,3,4,1] => 01001 => [1,1,2,1] => 40
[5,6,2,4,1,3] => 01010 => [1,1,1,1,1] => 63
[5,6,2,4,3,1] => 01011 => [1,1,1,2] => 40
[5,6,3,1,2,4] => 01100 => [1,2,2] => 24
[5,6,3,1,4,2] => 01101 => [1,2,1,1] => 39
[5,6,3,2,1,4] => 01110 => [1,3,1] => 17
[5,6,3,2,4,1] => 01101 => [1,2,1,1] => 39
[5,6,3,4,1,2] => 01010 => [1,1,1,1,1] => 63
[5,6,3,4,2,1] => 01011 => [1,1,1,2] => 40
[5,6,4,1,2,3] => 01100 => [1,2,2] => 24
[5,6,4,1,3,2] => 01101 => [1,2,1,1] => 39
[5,6,4,2,1,3] => 01110 => [1,3,1] => 17
[5,6,4,2,3,1] => 01101 => [1,2,1,1] => 39
[5,6,4,3,1,2] => 01110 => [1,3,1] => 17
[5,6,4,3,2,1] => 01111 => [1,4] => 5
[6,1,2,3,4,5] => 10000 => [1,4] => 5
[6,1,2,3,5,4] => 10001 => [1,3,1] => 17
[6,1,2,4,3,5] => 10010 => [1,2,1,1] => 39
[6,1,2,4,5,3] => 10001 => [1,3,1] => 17
[6,1,2,5,3,4] => 10010 => [1,2,1,1] => 39
[6,1,2,5,4,3] => 10011 => [1,2,2] => 24
[6,1,3,2,4,5] => 10100 => [1,1,1,2] => 40
[6,1,3,2,5,4] => 10101 => [1,1,1,1,1] => 63
[6,1,3,4,2,5] => 10010 => [1,2,1,1] => 39
[6,1,3,4,5,2] => 10001 => [1,3,1] => 17
[6,1,3,5,2,4] => 10010 => [1,2,1,1] => 39
[6,1,3,5,4,2] => 10011 => [1,2,2] => 24
[6,1,4,2,3,5] => 10100 => [1,1,1,2] => 40
[6,1,4,2,5,3] => 10101 => [1,1,1,1,1] => 63
[6,1,4,3,2,5] => 10110 => [1,1,2,1] => 40
[6,1,4,3,5,2] => 10101 => [1,1,1,1,1] => 63
[6,1,4,5,2,3] => 10010 => [1,2,1,1] => 39
[6,1,4,5,3,2] => 10011 => [1,2,2] => 24
[6,1,5,2,3,4] => 10100 => [1,1,1,2] => 40
[6,1,5,2,4,3] => 10101 => [1,1,1,1,1] => 63
[6,1,5,3,2,4] => 10110 => [1,1,2,1] => 40
[6,1,5,3,4,2] => 10101 => [1,1,1,1,1] => 63
[6,1,5,4,2,3] => 10110 => [1,1,2,1] => 40
[6,1,5,4,3,2] => 10111 => [1,1,3] => 17
[6,2,1,3,4,5] => 11000 => [2,3] => 10
[6,2,1,3,5,4] => 11001 => [2,2,1] => 24
[6,2,1,4,3,5] => 11010 => [2,1,1,1] => 39
[6,2,1,4,5,3] => 11001 => [2,2,1] => 24
[6,2,1,5,3,4] => 11010 => [2,1,1,1] => 39
[6,2,1,5,4,3] => 11011 => [2,1,2] => 24
[6,2,3,1,4,5] => 10100 => [1,1,1,2] => 40
[6,2,3,1,5,4] => 10101 => [1,1,1,1,1] => 63
[6,2,3,4,1,5] => 10010 => [1,2,1,1] => 39
[6,2,3,4,5,1] => 10001 => [1,3,1] => 17
[6,2,3,5,1,4] => 10010 => [1,2,1,1] => 39
[6,2,3,5,4,1] => 10011 => [1,2,2] => 24
[6,2,4,1,3,5] => 10100 => [1,1,1,2] => 40
[6,2,4,1,5,3] => 10101 => [1,1,1,1,1] => 63
[6,2,4,3,1,5] => 10110 => [1,1,2,1] => 40
[6,2,4,3,5,1] => 10101 => [1,1,1,1,1] => 63
[6,2,4,5,1,3] => 10010 => [1,2,1,1] => 39
[6,2,4,5,3,1] => 10011 => [1,2,2] => 24
[6,2,5,1,3,4] => 10100 => [1,1,1,2] => 40
[6,2,5,1,4,3] => 10101 => [1,1,1,1,1] => 63
[6,2,5,3,1,4] => 10110 => [1,1,2,1] => 40
[6,2,5,3,4,1] => 10101 => [1,1,1,1,1] => 63
[6,2,5,4,1,3] => 10110 => [1,1,2,1] => 40
[6,2,5,4,3,1] => 10111 => [1,1,3] => 17
[6,3,1,2,4,5] => 11000 => [2,3] => 10
[6,3,1,2,5,4] => 11001 => [2,2,1] => 24
[6,3,1,4,2,5] => 11010 => [2,1,1,1] => 39
[6,3,1,4,5,2] => 11001 => [2,2,1] => 24
[6,3,1,5,2,4] => 11010 => [2,1,1,1] => 39
[6,3,1,5,4,2] => 11011 => [2,1,2] => 24
[6,3,2,1,4,5] => 11100 => [3,2] => 10
[6,3,2,1,5,4] => 11101 => [3,1,1] => 17
[6,3,2,4,1,5] => 11010 => [2,1,1,1] => 39
[6,3,2,4,5,1] => 11001 => [2,2,1] => 24
[6,3,2,5,1,4] => 11010 => [2,1,1,1] => 39
[6,3,2,5,4,1] => 11011 => [2,1,2] => 24
[6,3,4,1,2,5] => 10100 => [1,1,1,2] => 40
[6,3,4,1,5,2] => 10101 => [1,1,1,1,1] => 63
[6,3,4,2,1,5] => 10110 => [1,1,2,1] => 40
[6,3,4,2,5,1] => 10101 => [1,1,1,1,1] => 63
[6,3,4,5,1,2] => 10010 => [1,2,1,1] => 39
[6,3,4,5,2,1] => 10011 => [1,2,2] => 24
[6,3,5,1,2,4] => 10100 => [1,1,1,2] => 40
[6,3,5,1,4,2] => 10101 => [1,1,1,1,1] => 63
[6,3,5,2,1,4] => 10110 => [1,1,2,1] => 40
[6,3,5,2,4,1] => 10101 => [1,1,1,1,1] => 63
[6,3,5,4,1,2] => 10110 => [1,1,2,1] => 40
[6,3,5,4,2,1] => 10111 => [1,1,3] => 17
[6,4,1,2,3,5] => 11000 => [2,3] => 10
[6,4,1,2,5,3] => 11001 => [2,2,1] => 24
[6,4,1,3,2,5] => 11010 => [2,1,1,1] => 39
[6,4,1,3,5,2] => 11001 => [2,2,1] => 24
[6,4,1,5,2,3] => 11010 => [2,1,1,1] => 39
[6,4,1,5,3,2] => 11011 => [2,1,2] => 24
[6,4,2,1,3,5] => 11100 => [3,2] => 10
[6,4,2,1,5,3] => 11101 => [3,1,1] => 17
[6,4,2,3,1,5] => 11010 => [2,1,1,1] => 39
[6,4,2,3,5,1] => 11001 => [2,2,1] => 24
[6,4,2,5,1,3] => 11010 => [2,1,1,1] => 39
[6,4,2,5,3,1] => 11011 => [2,1,2] => 24
[6,4,3,1,2,5] => 11100 => [3,2] => 10
[6,4,3,1,5,2] => 11101 => [3,1,1] => 17
[6,4,3,2,1,5] => 11110 => [4,1] => 5
[6,4,3,2,5,1] => 11101 => [3,1,1] => 17
[6,4,3,5,1,2] => 11010 => [2,1,1,1] => 39
[6,4,3,5,2,1] => 11011 => [2,1,2] => 24
[6,4,5,1,2,3] => 10100 => [1,1,1,2] => 40
[6,4,5,1,3,2] => 10101 => [1,1,1,1,1] => 63
[6,4,5,2,1,3] => 10110 => [1,1,2,1] => 40
[6,4,5,2,3,1] => 10101 => [1,1,1,1,1] => 63
[6,4,5,3,1,2] => 10110 => [1,1,2,1] => 40
[6,4,5,3,2,1] => 10111 => [1,1,3] => 17
[6,5,1,2,3,4] => 11000 => [2,3] => 10
[6,5,1,2,4,3] => 11001 => [2,2,1] => 24
[6,5,1,3,2,4] => 11010 => [2,1,1,1] => 39
[6,5,1,3,4,2] => 11001 => [2,2,1] => 24
[6,5,1,4,2,3] => 11010 => [2,1,1,1] => 39
[6,5,1,4,3,2] => 11011 => [2,1,2] => 24
[6,5,2,1,3,4] => 11100 => [3,2] => 10
[6,5,2,1,4,3] => 11101 => [3,1,1] => 17
[6,5,2,3,1,4] => 11010 => [2,1,1,1] => 39
[6,5,2,3,4,1] => 11001 => [2,2,1] => 24
[6,5,2,4,1,3] => 11010 => [2,1,1,1] => 39
[6,5,2,4,3,1] => 11011 => [2,1,2] => 24
[6,5,3,1,2,4] => 11100 => [3,2] => 10
[6,5,3,1,4,2] => 11101 => [3,1,1] => 17
[6,5,3,2,1,4] => 11110 => [4,1] => 5
[6,5,3,2,4,1] => 11101 => [3,1,1] => 17
[6,5,3,4,1,2] => 11010 => [2,1,1,1] => 39
[6,5,3,4,2,1] => 11011 => [2,1,2] => 24
[6,5,4,1,2,3] => 11100 => [3,2] => 10
[6,5,4,1,3,2] => 11101 => [3,1,1] => 17
[6,5,4,2,1,3] => 11110 => [4,1] => 5
[6,5,4,2,3,1] => 11101 => [3,1,1] => 17
[6,5,4,3,1,2] => 11110 => [4,1] => 5
[6,5,4,3,2,1] => 11111 => [5] => 1
[1,2,3,4,5,6,7] => 000000 => [6] => 1
[1,2,3,4,5,7,6] => 000001 => [5,1] => 6
[1,2,3,4,6,5,7] => 000010 => [4,1,1] => 26
[1,2,3,4,6,7,5] => 000001 => [5,1] => 6
[1,2,3,4,7,5,6] => 000010 => [4,1,1] => 26
[1,2,3,4,7,6,5] => 000011 => [4,2] => 15
[1,2,3,5,4,6,7] => 000100 => [3,1,2] => 48
[1,2,3,5,4,7,6] => 000101 => [3,1,1,1] => 80
[1,2,3,5,6,4,7] => 000010 => [4,1,1] => 26
[1,2,3,5,6,7,4] => 000001 => [5,1] => 6
[1,2,3,5,7,4,6] => 000010 => [4,1,1] => 26
[1,2,3,5,7,6,4] => 000011 => [4,2] => 15
[1,2,3,6,4,5,7] => 000100 => [3,1,2] => 48
[1,2,3,6,4,7,5] => 000101 => [3,1,1,1] => 80
[1,2,3,6,5,4,7] => 000110 => [3,2,1] => 48
[1,2,3,6,5,7,4] => 000101 => [3,1,1,1] => 80
[1,2,3,6,7,4,5] => 000010 => [4,1,1] => 26
[1,2,3,6,7,5,4] => 000011 => [4,2] => 15
[1,2,3,7,4,5,6] => 000100 => [3,1,2] => 48
[1,2,3,7,4,6,5] => 000101 => [3,1,1,1] => 80
[1,2,3,7,5,4,6] => 000110 => [3,2,1] => 48
[1,2,3,7,5,6,4] => 000101 => [3,1,1,1] => 80
[1,2,3,7,6,4,5] => 000110 => [3,2,1] => 48
[1,2,3,7,6,5,4] => 000111 => [3,3] => 20
[1,2,4,3,5,6,7] => 001000 => [2,1,3] => 48
[1,2,4,3,5,7,6] => 001001 => [2,1,2,1] => 112
[1,2,4,3,6,5,7] => 001010 => [2,1,1,1,1] => 180
[1,2,4,3,6,7,5] => 001001 => [2,1,2,1] => 112
[1,2,4,3,7,5,6] => 001010 => [2,1,1,1,1] => 180
[1,2,4,3,7,6,5] => 001011 => [2,1,1,2] => 112
[1,2,4,5,3,6,7] => 000100 => [3,1,2] => 48
[1,2,4,5,3,7,6] => 000101 => [3,1,1,1] => 80
[1,2,4,5,6,3,7] => 000010 => [4,1,1] => 26
[1,2,4,5,6,7,3] => 000001 => [5,1] => 6
[1,2,4,5,7,3,6] => 000010 => [4,1,1] => 26
[1,2,4,5,7,6,3] => 000011 => [4,2] => 15
[1,2,4,6,3,5,7] => 000100 => [3,1,2] => 48
[1,2,4,6,3,7,5] => 000101 => [3,1,1,1] => 80
[1,2,4,6,5,3,7] => 000110 => [3,2,1] => 48
[1,2,4,6,5,7,3] => 000101 => [3,1,1,1] => 80
[1,2,4,6,7,3,5] => 000010 => [4,1,1] => 26
[1,2,4,6,7,5,3] => 000011 => [4,2] => 15
[1,2,4,7,3,5,6] => 000100 => [3,1,2] => 48
[1,2,4,7,3,6,5] => 000101 => [3,1,1,1] => 80
[1,2,4,7,5,3,6] => 000110 => [3,2,1] => 48
[1,2,4,7,5,6,3] => 000101 => [3,1,1,1] => 80
[1,2,4,7,6,3,5] => 000110 => [3,2,1] => 48
[1,2,4,7,6,5,3] => 000111 => [3,3] => 20
[1,2,5,3,4,6,7] => 001000 => [2,1,3] => 48
[1,2,5,3,4,7,6] => 001001 => [2,1,2,1] => 112
[1,2,5,3,6,4,7] => 001010 => [2,1,1,1,1] => 180
[1,2,5,3,6,7,4] => 001001 => [2,1,2,1] => 112
[1,2,5,3,7,4,6] => 001010 => [2,1,1,1,1] => 180
[1,2,5,3,7,6,4] => 001011 => [2,1,1,2] => 112
[1,2,5,4,3,6,7] => 001100 => [2,2,2] => 67
[1,2,5,4,3,7,6] => 001101 => [2,2,1,1] => 110
[1,2,5,4,6,3,7] => 001010 => [2,1,1,1,1] => 180
[1,2,5,4,6,7,3] => 001001 => [2,1,2,1] => 112
[1,2,5,4,7,3,6] => 001010 => [2,1,1,1,1] => 180
[1,2,5,4,7,6,3] => 001011 => [2,1,1,2] => 112
[1,2,5,6,3,4,7] => 000100 => [3,1,2] => 48
[1,2,5,6,3,7,4] => 000101 => [3,1,1,1] => 80
[1,2,5,6,4,3,7] => 000110 => [3,2,1] => 48
[1,2,5,6,4,7,3] => 000101 => [3,1,1,1] => 80
[1,2,5,6,7,3,4] => 000010 => [4,1,1] => 26
[1,2,5,6,7,4,3] => 000011 => [4,2] => 15
[1,2,5,7,3,4,6] => 000100 => [3,1,2] => 48
[1,2,5,7,3,6,4] => 000101 => [3,1,1,1] => 80
[1,2,5,7,4,3,6] => 000110 => [3,2,1] => 48
[1,2,5,7,4,6,3] => 000101 => [3,1,1,1] => 80
[1,2,5,7,6,3,4] => 000110 => [3,2,1] => 48
[1,2,5,7,6,4,3] => 000111 => [3,3] => 20
[1,2,6,3,4,5,7] => 001000 => [2,1,3] => 48
[1,2,6,3,4,7,5] => 001001 => [2,1,2,1] => 112
[1,2,6,3,5,4,7] => 001010 => [2,1,1,1,1] => 180
[1,2,6,3,5,7,4] => 001001 => [2,1,2,1] => 112
[1,2,6,3,7,4,5] => 001010 => [2,1,1,1,1] => 180
[1,2,6,3,7,5,4] => 001011 => [2,1,1,2] => 112
[1,2,6,4,3,5,7] => 001100 => [2,2,2] => 67
[1,2,6,4,3,7,5] => 001101 => [2,2,1,1] => 110
[1,2,6,4,5,3,7] => 001010 => [2,1,1,1,1] => 180
[1,2,6,4,5,7,3] => 001001 => [2,1,2,1] => 112
[1,2,6,4,7,3,5] => 001010 => [2,1,1,1,1] => 180
[1,2,6,4,7,5,3] => 001011 => [2,1,1,2] => 112
[1,2,6,5,3,4,7] => 001100 => [2,2,2] => 67
[1,2,6,5,3,7,4] => 001101 => [2,2,1,1] => 110
[1,2,6,5,4,3,7] => 001110 => [2,3,1] => 48
[1,2,6,5,4,7,3] => 001101 => [2,2,1,1] => 110
[1,2,6,5,7,3,4] => 001010 => [2,1,1,1,1] => 180
[1,2,6,5,7,4,3] => 001011 => [2,1,1,2] => 112
[1,2,6,7,3,4,5] => 000100 => [3,1,2] => 48
[1,2,6,7,3,5,4] => 000101 => [3,1,1,1] => 80
[1,2,6,7,4,3,5] => 000110 => [3,2,1] => 48
[1,2,6,7,4,5,3] => 000101 => [3,1,1,1] => 80
[1,2,6,7,5,3,4] => 000110 => [3,2,1] => 48
[1,2,6,7,5,4,3] => 000111 => [3,3] => 20
[1,2,7,3,4,5,6] => 001000 => [2,1,3] => 48
[1,2,7,3,4,6,5] => 001001 => [2,1,2,1] => 112
[1,2,7,3,5,4,6] => 001010 => [2,1,1,1,1] => 180
[1,2,7,3,5,6,4] => 001001 => [2,1,2,1] => 112
[1,2,7,3,6,4,5] => 001010 => [2,1,1,1,1] => 180
[1,2,7,3,6,5,4] => 001011 => [2,1,1,2] => 112
[1,2,7,4,3,5,6] => 001100 => [2,2,2] => 67
[1,2,7,4,3,6,5] => 001101 => [2,2,1,1] => 110
[1,2,7,4,5,3,6] => 001010 => [2,1,1,1,1] => 180
[1,2,7,4,5,6,3] => 001001 => [2,1,2,1] => 112
[1,2,7,4,6,3,5] => 001010 => [2,1,1,1,1] => 180
[1,2,7,4,6,5,3] => 001011 => [2,1,1,2] => 112
[1,2,7,5,3,4,6] => 001100 => [2,2,2] => 67
[1,2,7,5,3,6,4] => 001101 => [2,2,1,1] => 110
[1,2,7,5,4,3,6] => 001110 => [2,3,1] => 48
[1,2,7,5,4,6,3] => 001101 => [2,2,1,1] => 110
[1,2,7,5,6,3,4] => 001010 => [2,1,1,1,1] => 180
[1,2,7,5,6,4,3] => 001011 => [2,1,1,2] => 112
[1,2,7,6,3,4,5] => 001100 => [2,2,2] => 67
[1,2,7,6,3,5,4] => 001101 => [2,2,1,1] => 110
[1,2,7,6,4,3,5] => 001110 => [2,3,1] => 48
[1,2,7,6,4,5,3] => 001101 => [2,2,1,1] => 110
[1,2,7,6,5,3,4] => 001110 => [2,3,1] => 48
[1,2,7,6,5,4,3] => 001111 => [2,4] => 15
[1,3,2,4,5,6,7] => 010000 => [1,1,4] => 26
[1,3,2,4,5,7,6] => 010001 => [1,1,3,1] => 82
[1,3,2,4,6,5,7] => 010010 => [1,1,2,1,1] => 184
[1,3,2,4,6,7,5] => 010001 => [1,1,3,1] => 82
[1,3,2,4,7,5,6] => 010010 => [1,1,2,1,1] => 184
[1,3,2,4,7,6,5] => 010011 => [1,1,2,2] => 114
[1,3,2,5,4,6,7] => 010100 => [1,1,1,1,2] => 188
[1,3,2,5,4,7,6] => 010101 => [1,1,1,1,1,1] => 296
[1,3,2,5,6,4,7] => 010010 => [1,1,2,1,1] => 184
[1,3,2,5,6,7,4] => 010001 => [1,1,3,1] => 82
[1,3,2,5,7,4,6] => 010010 => [1,1,2,1,1] => 184
[1,3,2,5,7,6,4] => 010011 => [1,1,2,2] => 114
[1,3,2,6,4,5,7] => 010100 => [1,1,1,1,2] => 188
[1,3,2,6,4,7,5] => 010101 => [1,1,1,1,1,1] => 296
[1,3,2,6,5,4,7] => 010110 => [1,1,1,2,1] => 188
[1,3,2,6,5,7,4] => 010101 => [1,1,1,1,1,1] => 296
[1,3,2,6,7,4,5] => 010010 => [1,1,2,1,1] => 184
[1,3,2,6,7,5,4] => 010011 => [1,1,2,2] => 114
[1,3,2,7,4,5,6] => 010100 => [1,1,1,1,2] => 188
[1,3,2,7,4,6,5] => 010101 => [1,1,1,1,1,1] => 296
[1,3,2,7,5,4,6] => 010110 => [1,1,1,2,1] => 188
[1,3,2,7,5,6,4] => 010101 => [1,1,1,1,1,1] => 296
[1,3,2,7,6,4,5] => 010110 => [1,1,1,2,1] => 188
[1,3,2,7,6,5,4] => 010111 => [1,1,1,3] => 82
[1,3,4,2,5,6,7] => 001000 => [2,1,3] => 48
[1,3,4,2,5,7,6] => 001001 => [2,1,2,1] => 112
[1,3,4,2,6,5,7] => 001010 => [2,1,1,1,1] => 180
[1,3,4,2,6,7,5] => 001001 => [2,1,2,1] => 112
[1,3,4,2,7,5,6] => 001010 => [2,1,1,1,1] => 180
[1,3,4,2,7,6,5] => 001011 => [2,1,1,2] => 112
[1,3,4,5,2,6,7] => 000100 => [3,1,2] => 48
[1,3,4,5,2,7,6] => 000101 => [3,1,1,1] => 80
[1,3,4,5,6,2,7] => 000010 => [4,1,1] => 26
[1,3,4,5,6,7,2] => 000001 => [5,1] => 6
[1,3,4,5,7,2,6] => 000010 => [4,1,1] => 26
[1,3,4,5,7,6,2] => 000011 => [4,2] => 15
[1,3,4,6,2,5,7] => 000100 => [3,1,2] => 48
[1,3,4,6,2,7,5] => 000101 => [3,1,1,1] => 80
[1,3,4,6,5,2,7] => 000110 => [3,2,1] => 48
[1,3,4,6,5,7,2] => 000101 => [3,1,1,1] => 80
[1,3,4,6,7,2,5] => 000010 => [4,1,1] => 26
[1,3,4,6,7,5,2] => 000011 => [4,2] => 15
[1,3,4,7,2,5,6] => 000100 => [3,1,2] => 48
[1,3,4,7,2,6,5] => 000101 => [3,1,1,1] => 80
[1,3,4,7,5,2,6] => 000110 => [3,2,1] => 48
[1,3,4,7,5,6,2] => 000101 => [3,1,1,1] => 80
[1,3,4,7,6,2,5] => 000110 => [3,2,1] => 48
[1,3,4,7,6,5,2] => 000111 => [3,3] => 20
[1,3,5,2,4,6,7] => 001000 => [2,1,3] => 48
[1,3,5,2,4,7,6] => 001001 => [2,1,2,1] => 112
[1,3,5,2,6,4,7] => 001010 => [2,1,1,1,1] => 180
[1,3,5,2,6,7,4] => 001001 => [2,1,2,1] => 112
[1,3,5,2,7,4,6] => 001010 => [2,1,1,1,1] => 180
[1,3,5,2,7,6,4] => 001011 => [2,1,1,2] => 112
[1,3,5,4,2,6,7] => 001100 => [2,2,2] => 67
[1,3,5,4,2,7,6] => 001101 => [2,2,1,1] => 110
[1,3,5,4,6,2,7] => 001010 => [2,1,1,1,1] => 180
[1,3,5,4,6,7,2] => 001001 => [2,1,2,1] => 112
[1,3,5,4,7,2,6] => 001010 => [2,1,1,1,1] => 180
[1,3,5,4,7,6,2] => 001011 => [2,1,1,2] => 112
[1,3,5,6,2,4,7] => 000100 => [3,1,2] => 48
[1,3,5,6,2,7,4] => 000101 => [3,1,1,1] => 80
[1,3,5,6,4,2,7] => 000110 => [3,2,1] => 48
[1,3,5,6,4,7,2] => 000101 => [3,1,1,1] => 80
[1,3,5,6,7,2,4] => 000010 => [4,1,1] => 26
[1,3,5,6,7,4,2] => 000011 => [4,2] => 15
[1,3,5,7,2,4,6] => 000100 => [3,1,2] => 48
[1,3,5,7,2,6,4] => 000101 => [3,1,1,1] => 80
[1,3,5,7,4,2,6] => 000110 => [3,2,1] => 48
[1,3,5,7,4,6,2] => 000101 => [3,1,1,1] => 80
[1,3,5,7,6,2,4] => 000110 => [3,2,1] => 48
[1,3,5,7,6,4,2] => 000111 => [3,3] => 20
[1,3,6,2,4,5,7] => 001000 => [2,1,3] => 48
[1,3,6,2,4,7,5] => 001001 => [2,1,2,1] => 112
[1,3,6,2,5,4,7] => 001010 => [2,1,1,1,1] => 180
[1,3,6,2,5,7,4] => 001001 => [2,1,2,1] => 112
[1,3,6,2,7,4,5] => 001010 => [2,1,1,1,1] => 180
[1,3,6,2,7,5,4] => 001011 => [2,1,1,2] => 112
[1,3,6,4,2,5,7] => 001100 => [2,2,2] => 67
[1,3,6,4,2,7,5] => 001101 => [2,2,1,1] => 110
[1,3,6,4,5,2,7] => 001010 => [2,1,1,1,1] => 180
[1,3,6,4,5,7,2] => 001001 => [2,1,2,1] => 112
[1,3,6,4,7,2,5] => 001010 => [2,1,1,1,1] => 180
[1,3,6,4,7,5,2] => 001011 => [2,1,1,2] => 112
[1,3,6,5,2,4,7] => 001100 => [2,2,2] => 67
[1,3,6,5,2,7,4] => 001101 => [2,2,1,1] => 110
[1,3,6,5,4,2,7] => 001110 => [2,3,1] => 48
[1,3,6,5,4,7,2] => 001101 => [2,2,1,1] => 110
[1,3,6,5,7,2,4] => 001010 => [2,1,1,1,1] => 180
[1,3,6,5,7,4,2] => 001011 => [2,1,1,2] => 112
[1,3,6,7,2,4,5] => 000100 => [3,1,2] => 48
[1,3,6,7,2,5,4] => 000101 => [3,1,1,1] => 80
[1,3,6,7,4,2,5] => 000110 => [3,2,1] => 48
[1,3,6,7,4,5,2] => 000101 => [3,1,1,1] => 80
[1,3,6,7,5,2,4] => 000110 => [3,2,1] => 48
[1,3,6,7,5,4,2] => 000111 => [3,3] => 20
[1,3,7,2,4,5,6] => 001000 => [2,1,3] => 48
[1,3,7,2,4,6,5] => 001001 => [2,1,2,1] => 112
[1,3,7,2,5,4,6] => 001010 => [2,1,1,1,1] => 180
[1,3,7,2,5,6,4] => 001001 => [2,1,2,1] => 112
[1,3,7,2,6,4,5] => 001010 => [2,1,1,1,1] => 180
[1,3,7,2,6,5,4] => 001011 => [2,1,1,2] => 112
[1,3,7,4,2,5,6] => 001100 => [2,2,2] => 67
[1,3,7,4,2,6,5] => 001101 => [2,2,1,1] => 110
[1,3,7,4,5,2,6] => 001010 => [2,1,1,1,1] => 180
[1,3,7,4,5,6,2] => 001001 => [2,1,2,1] => 112
[1,3,7,4,6,2,5] => 001010 => [2,1,1,1,1] => 180
[1,3,7,4,6,5,2] => 001011 => [2,1,1,2] => 112
[1,3,7,5,2,4,6] => 001100 => [2,2,2] => 67
[1,3,7,5,2,6,4] => 001101 => [2,2,1,1] => 110
[1,3,7,5,4,2,6] => 001110 => [2,3,1] => 48
[1,3,7,5,4,6,2] => 001101 => [2,2,1,1] => 110
[1,3,7,5,6,2,4] => 001010 => [2,1,1,1,1] => 180
[1,3,7,5,6,4,2] => 001011 => [2,1,1,2] => 112
[1,3,7,6,2,4,5] => 001100 => [2,2,2] => 67
[1,3,7,6,2,5,4] => 001101 => [2,2,1,1] => 110
[1,3,7,6,4,2,5] => 001110 => [2,3,1] => 48
[1,3,7,6,4,5,2] => 001101 => [2,2,1,1] => 110
[1,3,7,6,5,2,4] => 001110 => [2,3,1] => 48
[1,3,7,6,5,4,2] => 001111 => [2,4] => 15
[1,4,2,3,5,6,7] => 010000 => [1,1,4] => 26
[1,4,2,3,5,7,6] => 010001 => [1,1,3,1] => 82
[1,4,2,3,6,5,7] => 010010 => [1,1,2,1,1] => 184
[1,4,2,3,6,7,5] => 010001 => [1,1,3,1] => 82
[1,4,2,3,7,5,6] => 010010 => [1,1,2,1,1] => 184
[1,4,2,3,7,6,5] => 010011 => [1,1,2,2] => 114
[1,4,2,5,3,6,7] => 010100 => [1,1,1,1,2] => 188
[1,4,2,5,3,7,6] => 010101 => [1,1,1,1,1,1] => 296
[1,4,2,5,6,3,7] => 010010 => [1,1,2,1,1] => 184
[1,4,2,5,6,7,3] => 010001 => [1,1,3,1] => 82
[1,4,2,5,7,3,6] => 010010 => [1,1,2,1,1] => 184
[1,4,2,5,7,6,3] => 010011 => [1,1,2,2] => 114
[1,4,2,6,3,5,7] => 010100 => [1,1,1,1,2] => 188
[1,4,2,6,3,7,5] => 010101 => [1,1,1,1,1,1] => 296
[1,4,2,6,5,3,7] => 010110 => [1,1,1,2,1] => 188
[1,4,2,6,5,7,3] => 010101 => [1,1,1,1,1,1] => 296
[1,4,2,6,7,3,5] => 010010 => [1,1,2,1,1] => 184
[1,4,2,6,7,5,3] => 010011 => [1,1,2,2] => 114
[1,4,2,7,3,5,6] => 010100 => [1,1,1,1,2] => 188
[1,4,2,7,3,6,5] => 010101 => [1,1,1,1,1,1] => 296
[1,4,2,7,5,3,6] => 010110 => [1,1,1,2,1] => 188
[1,4,2,7,5,6,3] => 010101 => [1,1,1,1,1,1] => 296
[1,4,2,7,6,3,5] => 010110 => [1,1,1,2,1] => 188
[1,4,2,7,6,5,3] => 010111 => [1,1,1,3] => 82
[1,4,3,2,5,6,7] => 011000 => [1,2,3] => 48
[1,4,3,2,5,7,6] => 011001 => [1,2,2,1] => 112
[1,4,3,2,6,5,7] => 011010 => [1,2,1,1,1] => 180
[1,4,3,2,6,7,5] => 011001 => [1,2,2,1] => 112
[1,4,3,2,7,5,6] => 011010 => [1,2,1,1,1] => 180
[1,4,3,2,7,6,5] => 011011 => [1,2,1,2] => 112
[1,4,3,5,2,6,7] => 010100 => [1,1,1,1,2] => 188
[1,4,3,5,2,7,6] => 010101 => [1,1,1,1,1,1] => 296
[1,4,3,5,6,2,7] => 010010 => [1,1,2,1,1] => 184
[1,4,3,5,6,7,2] => 010001 => [1,1,3,1] => 82
[1,4,3,5,7,2,6] => 010010 => [1,1,2,1,1] => 184
[1,4,3,5,7,6,2] => 010011 => [1,1,2,2] => 114
[1,4,3,6,2,5,7] => 010100 => [1,1,1,1,2] => 188
[1,4,3,6,2,7,5] => 010101 => [1,1,1,1,1,1] => 296
[1,4,3,6,5,2,7] => 010110 => [1,1,1,2,1] => 188
[1,4,3,6,5,7,2] => 010101 => [1,1,1,1,1,1] => 296
[1,4,3,6,7,2,5] => 010010 => [1,1,2,1,1] => 184
[1,4,3,6,7,5,2] => 010011 => [1,1,2,2] => 114
[1,4,3,7,2,5,6] => 010100 => [1,1,1,1,2] => 188
[1,4,3,7,2,6,5] => 010101 => [1,1,1,1,1,1] => 296
[1,4,3,7,5,2,6] => 010110 => [1,1,1,2,1] => 188
[1,4,3,7,5,6,2] => 010101 => [1,1,1,1,1,1] => 296
[1,4,3,7,6,2,5] => 010110 => [1,1,1,2,1] => 188
[1,4,3,7,6,5,2] => 010111 => [1,1,1,3] => 82
[1,4,5,2,3,6,7] => 001000 => [2,1,3] => 48
[1,4,5,2,3,7,6] => 001001 => [2,1,2,1] => 112
[1,4,5,2,6,3,7] => 001010 => [2,1,1,1,1] => 180
[1,4,5,2,6,7,3] => 001001 => [2,1,2,1] => 112
[1,4,5,2,7,3,6] => 001010 => [2,1,1,1,1] => 180
[1,4,5,2,7,6,3] => 001011 => [2,1,1,2] => 112
[1,4,5,3,2,6,7] => 001100 => [2,2,2] => 67
[1,4,5,3,2,7,6] => 001101 => [2,2,1,1] => 110
[1,4,5,3,6,2,7] => 001010 => [2,1,1,1,1] => 180
[1,4,5,3,6,7,2] => 001001 => [2,1,2,1] => 112
[1,4,5,3,7,2,6] => 001010 => [2,1,1,1,1] => 180
[1,4,5,3,7,6,2] => 001011 => [2,1,1,2] => 112
[1,4,5,6,2,3,7] => 000100 => [3,1,2] => 48
[1,4,5,6,2,7,3] => 000101 => [3,1,1,1] => 80
[1,4,5,6,3,2,7] => 000110 => [3,2,1] => 48
[1,4,5,6,3,7,2] => 000101 => [3,1,1,1] => 80
[1,4,5,6,7,2,3] => 000010 => [4,1,1] => 26
[1,4,5,6,7,3,2] => 000011 => [4,2] => 15
[1,4,5,7,2,3,6] => 000100 => [3,1,2] => 48
[1,4,5,7,2,6,3] => 000101 => [3,1,1,1] => 80
[1,4,5,7,3,2,6] => 000110 => [3,2,1] => 48
[1,4,5,7,3,6,2] => 000101 => [3,1,1,1] => 80
[1,4,5,7,6,2,3] => 000110 => [3,2,1] => 48
[1,4,5,7,6,3,2] => 000111 => [3,3] => 20
[1,4,6,2,3,5,7] => 001000 => [2,1,3] => 48
[1,4,6,2,3,7,5] => 001001 => [2,1,2,1] => 112
[1,4,6,2,5,3,7] => 001010 => [2,1,1,1,1] => 180
[1,4,6,2,5,7,3] => 001001 => [2,1,2,1] => 112
[1,4,6,2,7,3,5] => 001010 => [2,1,1,1,1] => 180
[1,4,6,2,7,5,3] => 001011 => [2,1,1,2] => 112
[1,4,6,3,2,5,7] => 001100 => [2,2,2] => 67
[1,4,6,3,2,7,5] => 001101 => [2,2,1,1] => 110
[1,4,6,3,5,2,7] => 001010 => [2,1,1,1,1] => 180
[1,4,6,3,5,7,2] => 001001 => [2,1,2,1] => 112
[1,4,6,3,7,2,5] => 001010 => [2,1,1,1,1] => 180
[1,4,6,3,7,5,2] => 001011 => [2,1,1,2] => 112
[1,4,6,5,2,3,7] => 001100 => [2,2,2] => 67
[1,4,6,5,2,7,3] => 001101 => [2,2,1,1] => 110
[1,4,6,5,3,2,7] => 001110 => [2,3,1] => 48
[1,4,6,5,3,7,2] => 001101 => [2,2,1,1] => 110
[1,4,6,5,7,2,3] => 001010 => [2,1,1,1,1] => 180
[1,4,6,5,7,3,2] => 001011 => [2,1,1,2] => 112
[1,4,6,7,2,3,5] => 000100 => [3,1,2] => 48
[1,4,6,7,2,5,3] => 000101 => [3,1,1,1] => 80
[1,4,6,7,3,2,5] => 000110 => [3,2,1] => 48
[1,4,6,7,3,5,2] => 000101 => [3,1,1,1] => 80
[1,4,6,7,5,2,3] => 000110 => [3,2,1] => 48
[1,4,6,7,5,3,2] => 000111 => [3,3] => 20
[1,4,7,2,3,5,6] => 001000 => [2,1,3] => 48
[1,4,7,2,3,6,5] => 001001 => [2,1,2,1] => 112
[1,4,7,2,5,3,6] => 001010 => [2,1,1,1,1] => 180
[1,4,7,2,5,6,3] => 001001 => [2,1,2,1] => 112
[1,4,7,2,6,3,5] => 001010 => [2,1,1,1,1] => 180
[1,4,7,2,6,5,3] => 001011 => [2,1,1,2] => 112
[1,4,7,3,2,5,6] => 001100 => [2,2,2] => 67
[1,4,7,3,2,6,5] => 001101 => [2,2,1,1] => 110
[1,4,7,3,5,2,6] => 001010 => [2,1,1,1,1] => 180
[1,4,7,3,5,6,2] => 001001 => [2,1,2,1] => 112
[1,4,7,3,6,2,5] => 001010 => [2,1,1,1,1] => 180
[1,4,7,3,6,5,2] => 001011 => [2,1,1,2] => 112
[1,4,7,5,2,3,6] => 001100 => [2,2,2] => 67
[1,4,7,5,2,6,3] => 001101 => [2,2,1,1] => 110
[1,4,7,5,3,2,6] => 001110 => [2,3,1] => 48
[1,4,7,5,3,6,2] => 001101 => [2,2,1,1] => 110
[1,4,7,5,6,2,3] => 001010 => [2,1,1,1,1] => 180
[1,4,7,5,6,3,2] => 001011 => [2,1,1,2] => 112
[1,4,7,6,2,3,5] => 001100 => [2,2,2] => 67
[1,4,7,6,2,5,3] => 001101 => [2,2,1,1] => 110
[1,4,7,6,3,2,5] => 001110 => [2,3,1] => 48
[1,4,7,6,3,5,2] => 001101 => [2,2,1,1] => 110
[1,4,7,6,5,2,3] => 001110 => [2,3,1] => 48
[1,4,7,6,5,3,2] => 001111 => [2,4] => 15
[1,5,2,3,4,6,7] => 010000 => [1,1,4] => 26
[1,5,2,3,4,7,6] => 010001 => [1,1,3,1] => 82
[1,5,2,3,6,4,7] => 010010 => [1,1,2,1,1] => 184
[1,5,2,3,6,7,4] => 010001 => [1,1,3,1] => 82
[1,5,2,3,7,4,6] => 010010 => [1,1,2,1,1] => 184
[1,5,2,3,7,6,4] => 010011 => [1,1,2,2] => 114
[1,5,2,4,3,6,7] => 010100 => [1,1,1,1,2] => 188
[1,5,2,4,3,7,6] => 010101 => [1,1,1,1,1,1] => 296
[1,5,2,4,6,3,7] => 010010 => [1,1,2,1,1] => 184
[1,5,2,4,6,7,3] => 010001 => [1,1,3,1] => 82
[1,5,2,4,7,3,6] => 010010 => [1,1,2,1,1] => 184
[1,5,2,4,7,6,3] => 010011 => [1,1,2,2] => 114
[1,5,2,6,3,4,7] => 010100 => [1,1,1,1,2] => 188
[1,5,2,6,3,7,4] => 010101 => [1,1,1,1,1,1] => 296
[1,5,2,6,4,3,7] => 010110 => [1,1,1,2,1] => 188
[1,5,2,6,4,7,3] => 010101 => [1,1,1,1,1,1] => 296
[1,5,2,6,7,3,4] => 010010 => [1,1,2,1,1] => 184
[1,5,2,6,7,4,3] => 010011 => [1,1,2,2] => 114
[1,5,2,7,3,4,6] => 010100 => [1,1,1,1,2] => 188
[1,5,2,7,3,6,4] => 010101 => [1,1,1,1,1,1] => 296
[1,5,2,7,4,3,6] => 010110 => [1,1,1,2,1] => 188
[1,5,2,7,4,6,3] => 010101 => [1,1,1,1,1,1] => 296
[1,5,2,7,6,3,4] => 010110 => [1,1,1,2,1] => 188
[1,5,2,7,6,4,3] => 010111 => [1,1,1,3] => 82
[1,5,3,2,4,6,7] => 011000 => [1,2,3] => 48
[1,5,3,2,4,7,6] => 011001 => [1,2,2,1] => 112
[1,5,3,2,6,4,7] => 011010 => [1,2,1,1,1] => 180
[1,5,3,2,6,7,4] => 011001 => [1,2,2,1] => 112
[1,5,3,2,7,4,6] => 011010 => [1,2,1,1,1] => 180
[1,5,3,2,7,6,4] => 011011 => [1,2,1,2] => 112
[1,5,3,4,2,6,7] => 010100 => [1,1,1,1,2] => 188
[1,5,3,4,2,7,6] => 010101 => [1,1,1,1,1,1] => 296
[1,5,3,4,6,2,7] => 010010 => [1,1,2,1,1] => 184
[1,5,3,4,6,7,2] => 010001 => [1,1,3,1] => 82
[1,5,3,4,7,2,6] => 010010 => [1,1,2,1,1] => 184
[1,5,3,4,7,6,2] => 010011 => [1,1,2,2] => 114
[1,5,3,6,2,4,7] => 010100 => [1,1,1,1,2] => 188
[1,5,3,6,2,7,4] => 010101 => [1,1,1,1,1,1] => 296
[1,5,3,6,4,2,7] => 010110 => [1,1,1,2,1] => 188
[1,5,3,6,4,7,2] => 010101 => [1,1,1,1,1,1] => 296
[1,5,3,6,7,2,4] => 010010 => [1,1,2,1,1] => 184
[1,5,3,6,7,4,2] => 010011 => [1,1,2,2] => 114
[1,5,3,7,2,4,6] => 010100 => [1,1,1,1,2] => 188
[1,5,3,7,2,6,4] => 010101 => [1,1,1,1,1,1] => 296
[1,5,3,7,4,2,6] => 010110 => [1,1,1,2,1] => 188
[1,5,3,7,4,6,2] => 010101 => [1,1,1,1,1,1] => 296
[1,5,3,7,6,2,4] => 010110 => [1,1,1,2,1] => 188
[1,5,3,7,6,4,2] => 010111 => [1,1,1,3] => 82
[1,5,4,2,3,6,7] => 011000 => [1,2,3] => 48
[1,5,4,2,3,7,6] => 011001 => [1,2,2,1] => 112
[1,5,4,2,6,3,7] => 011010 => [1,2,1,1,1] => 180
[1,5,4,2,6,7,3] => 011001 => [1,2,2,1] => 112
[1,5,4,2,7,3,6] => 011010 => [1,2,1,1,1] => 180
[1,5,4,2,7,6,3] => 011011 => [1,2,1,2] => 112
[1,5,4,3,2,6,7] => 011100 => [1,3,2] => 48
[1,5,4,3,2,7,6] => 011101 => [1,3,1,1] => 80
[1,5,4,3,6,2,7] => 011010 => [1,2,1,1,1] => 180
[1,5,4,3,6,7,2] => 011001 => [1,2,2,1] => 112
[1,5,4,3,7,2,6] => 011010 => [1,2,1,1,1] => 180
[1,5,4,3,7,6,2] => 011011 => [1,2,1,2] => 112
[1,5,4,6,2,3,7] => 010100 => [1,1,1,1,2] => 188
[1,5,4,6,2,7,3] => 010101 => [1,1,1,1,1,1] => 296
[1,5,4,6,3,2,7] => 010110 => [1,1,1,2,1] => 188
[1,5,4,6,3,7,2] => 010101 => [1,1,1,1,1,1] => 296
[1,5,4,6,7,2,3] => 010010 => [1,1,2,1,1] => 184
[1,5,4,6,7,3,2] => 010011 => [1,1,2,2] => 114
[1,5,4,7,2,3,6] => 010100 => [1,1,1,1,2] => 188
[1,5,4,7,2,6,3] => 010101 => [1,1,1,1,1,1] => 296
[1,5,4,7,3,2,6] => 010110 => [1,1,1,2,1] => 188
[1,5,4,7,3,6,2] => 010101 => [1,1,1,1,1,1] => 296
[1,5,4,7,6,2,3] => 010110 => [1,1,1,2,1] => 188
[1,5,4,7,6,3,2] => 010111 => [1,1,1,3] => 82
[1,5,6,2,3,4,7] => 001000 => [2,1,3] => 48
[1,5,6,2,3,7,4] => 001001 => [2,1,2,1] => 112
[1,5,6,2,4,3,7] => 001010 => [2,1,1,1,1] => 180
[1,5,6,2,4,7,3] => 001001 => [2,1,2,1] => 112
[1,5,6,2,7,3,4] => 001010 => [2,1,1,1,1] => 180
[1,5,6,2,7,4,3] => 001011 => [2,1,1,2] => 112
[1,5,6,3,2,4,7] => 001100 => [2,2,2] => 67
[1,5,6,3,2,7,4] => 001101 => [2,2,1,1] => 110
[1,5,6,3,4,2,7] => 001010 => [2,1,1,1,1] => 180
[1,5,6,3,4,7,2] => 001001 => [2,1,2,1] => 112
[1,5,6,3,7,2,4] => 001010 => [2,1,1,1,1] => 180
[1,5,6,3,7,4,2] => 001011 => [2,1,1,2] => 112
[1,5,6,4,2,3,7] => 001100 => [2,2,2] => 67
[1,5,6,4,2,7,3] => 001101 => [2,2,1,1] => 110
[1,5,6,4,3,2,7] => 001110 => [2,3,1] => 48
[1,5,6,4,3,7,2] => 001101 => [2,2,1,1] => 110
[1,5,6,4,7,2,3] => 001010 => [2,1,1,1,1] => 180
[1,5,6,4,7,3,2] => 001011 => [2,1,1,2] => 112
[1,5,6,7,2,3,4] => 000100 => [3,1,2] => 48
[1,5,6,7,2,4,3] => 000101 => [3,1,1,1] => 80
[1,5,6,7,3,2,4] => 000110 => [3,2,1] => 48
[1,5,6,7,3,4,2] => 000101 => [3,1,1,1] => 80
[1,5,6,7,4,2,3] => 000110 => [3,2,1] => 48
[1,5,6,7,4,3,2] => 000111 => [3,3] => 20
[1,5,7,2,3,4,6] => 001000 => [2,1,3] => 48
[1,5,7,2,3,6,4] => 001001 => [2,1,2,1] => 112
[1,5,7,2,4,3,6] => 001010 => [2,1,1,1,1] => 180
[1,5,7,2,4,6,3] => 001001 => [2,1,2,1] => 112
[1,5,7,2,6,3,4] => 001010 => [2,1,1,1,1] => 180
[1,5,7,2,6,4,3] => 001011 => [2,1,1,2] => 112
[1,5,7,3,2,4,6] => 001100 => [2,2,2] => 67
[1,5,7,3,2,6,4] => 001101 => [2,2,1,1] => 110
[1,5,7,3,4,2,6] => 001010 => [2,1,1,1,1] => 180
[1,5,7,3,4,6,2] => 001001 => [2,1,2,1] => 112
[1,5,7,3,6,2,4] => 001010 => [2,1,1,1,1] => 180
[1,5,7,3,6,4,2] => 001011 => [2,1,1,2] => 112
[1,5,7,4,2,3,6] => 001100 => [2,2,2] => 67
[1,5,7,4,2,6,3] => 001101 => [2,2,1,1] => 110
[1,5,7,4,3,2,6] => 001110 => [2,3,1] => 48
[1,5,7,4,3,6,2] => 001101 => [2,2,1,1] => 110
[1,5,7,4,6,2,3] => 001010 => [2,1,1,1,1] => 180
[1,5,7,4,6,3,2] => 001011 => [2,1,1,2] => 112
[1,5,7,6,2,3,4] => 001100 => [2,2,2] => 67
[1,5,7,6,2,4,3] => 001101 => [2,2,1,1] => 110
[1,5,7,6,3,2,4] => 001110 => [2,3,1] => 48
[1,5,7,6,3,4,2] => 001101 => [2,2,1,1] => 110
[1,5,7,6,4,2,3] => 001110 => [2,3,1] => 48
[1,5,7,6,4,3,2] => 001111 => [2,4] => 15
[1,6,2,3,4,5,7] => 010000 => [1,1,4] => 26
[1,6,2,3,4,7,5] => 010001 => [1,1,3,1] => 82
[1,6,2,3,5,4,7] => 010010 => [1,1,2,1,1] => 184
[1,6,2,3,5,7,4] => 010001 => [1,1,3,1] => 82
[1,6,2,3,7,4,5] => 010010 => [1,1,2,1,1] => 184
[1,6,2,3,7,5,4] => 010011 => [1,1,2,2] => 114
[1,6,2,4,3,5,7] => 010100 => [1,1,1,1,2] => 188
[1,6,2,4,3,7,5] => 010101 => [1,1,1,1,1,1] => 296
[1,6,2,4,5,3,7] => 010010 => [1,1,2,1,1] => 184
[1,6,2,4,5,7,3] => 010001 => [1,1,3,1] => 82
[1,6,2,4,7,3,5] => 010010 => [1,1,2,1,1] => 184
[1,6,2,4,7,5,3] => 010011 => [1,1,2,2] => 114
[1,6,2,5,3,4,7] => 010100 => [1,1,1,1,2] => 188
[1,6,2,5,3,7,4] => 010101 => [1,1,1,1,1,1] => 296
[1,6,2,5,4,3,7] => 010110 => [1,1,1,2,1] => 188
[1,6,2,5,4,7,3] => 010101 => [1,1,1,1,1,1] => 296
[1,6,2,5,7,3,4] => 010010 => [1,1,2,1,1] => 184
[1,6,2,5,7,4,3] => 010011 => [1,1,2,2] => 114
[1,6,2,7,3,4,5] => 010100 => [1,1,1,1,2] => 188
[1,6,2,7,3,5,4] => 010101 => [1,1,1,1,1,1] => 296
[1,6,2,7,4,3,5] => 010110 => [1,1,1,2,1] => 188
[1,6,2,7,4,5,3] => 010101 => [1,1,1,1,1,1] => 296
[1,6,2,7,5,3,4] => 010110 => [1,1,1,2,1] => 188
[1,6,2,7,5,4,3] => 010111 => [1,1,1,3] => 82
[1,6,3,2,4,5,7] => 011000 => [1,2,3] => 48
[1,6,3,2,4,7,5] => 011001 => [1,2,2,1] => 112
[1,6,3,2,5,4,7] => 011010 => [1,2,1,1,1] => 180
[1,6,3,2,5,7,4] => 011001 => [1,2,2,1] => 112
[1,6,3,2,7,4,5] => 011010 => [1,2,1,1,1] => 180
[1,6,3,2,7,5,4] => 011011 => [1,2,1,2] => 112
[1,6,3,4,2,5,7] => 010100 => [1,1,1,1,2] => 188
[1,6,3,4,2,7,5] => 010101 => [1,1,1,1,1,1] => 296
[1,6,3,4,5,2,7] => 010010 => [1,1,2,1,1] => 184
[1,6,3,4,5,7,2] => 010001 => [1,1,3,1] => 82
[1,6,3,4,7,2,5] => 010010 => [1,1,2,1,1] => 184
[1,6,3,4,7,5,2] => 010011 => [1,1,2,2] => 114
[1,6,3,5,2,4,7] => 010100 => [1,1,1,1,2] => 188
[1,6,3,5,2,7,4] => 010101 => [1,1,1,1,1,1] => 296
[1,6,3,5,4,2,7] => 010110 => [1,1,1,2,1] => 188
[1,6,3,5,4,7,2] => 010101 => [1,1,1,1,1,1] => 296
[1,6,3,5,7,2,4] => 010010 => [1,1,2,1,1] => 184
[1,6,3,5,7,4,2] => 010011 => [1,1,2,2] => 114
[1,6,3,7,2,4,5] => 010100 => [1,1,1,1,2] => 188
[1,6,3,7,2,5,4] => 010101 => [1,1,1,1,1,1] => 296
[1,6,3,7,4,2,5] => 010110 => [1,1,1,2,1] => 188
[1,6,3,7,4,5,2] => 010101 => [1,1,1,1,1,1] => 296
[1,6,3,7,5,2,4] => 010110 => [1,1,1,2,1] => 188
[1,6,3,7,5,4,2] => 010111 => [1,1,1,3] => 82
[1,6,4,2,3,5,7] => 011000 => [1,2,3] => 48
[1,6,4,2,3,7,5] => 011001 => [1,2,2,1] => 112
[1,6,4,2,5,3,7] => 011010 => [1,2,1,1,1] => 180
[1,6,4,2,5,7,3] => 011001 => [1,2,2,1] => 112
[1,6,4,2,7,3,5] => 011010 => [1,2,1,1,1] => 180
[1,6,4,2,7,5,3] => 011011 => [1,2,1,2] => 112
[1,6,4,3,2,5,7] => 011100 => [1,3,2] => 48
[1,6,4,3,2,7,5] => 011101 => [1,3,1,1] => 80
[1,6,4,3,5,2,7] => 011010 => [1,2,1,1,1] => 180
[1,6,4,3,5,7,2] => 011001 => [1,2,2,1] => 112
[1,6,4,3,7,2,5] => 011010 => [1,2,1,1,1] => 180
[1,6,4,3,7,5,2] => 011011 => [1,2,1,2] => 112
[1,6,4,5,2,3,7] => 010100 => [1,1,1,1,2] => 188
[1,6,4,5,2,7,3] => 010101 => [1,1,1,1,1,1] => 296
[1,6,4,5,3,2,7] => 010110 => [1,1,1,2,1] => 188
[1,6,4,5,3,7,2] => 010101 => [1,1,1,1,1,1] => 296
[1,6,4,5,7,2,3] => 010010 => [1,1,2,1,1] => 184
[1,6,4,5,7,3,2] => 010011 => [1,1,2,2] => 114
[1,6,4,7,2,3,5] => 010100 => [1,1,1,1,2] => 188
[1,6,4,7,2,5,3] => 010101 => [1,1,1,1,1,1] => 296
[1,6,4,7,3,2,5] => 010110 => [1,1,1,2,1] => 188
[1,6,4,7,3,5,2] => 010101 => [1,1,1,1,1,1] => 296
[1,6,4,7,5,2,3] => 010110 => [1,1,1,2,1] => 188
[1,6,4,7,5,3,2] => 010111 => [1,1,1,3] => 82
[1,6,5,2,3,4,7] => 011000 => [1,2,3] => 48
[1,6,5,2,3,7,4] => 011001 => [1,2,2,1] => 112
[1,6,5,2,4,3,7] => 011010 => [1,2,1,1,1] => 180
[1,6,5,2,4,7,3] => 011001 => [1,2,2,1] => 112
[1,6,5,2,7,3,4] => 011010 => [1,2,1,1,1] => 180
[1,6,5,2,7,4,3] => 011011 => [1,2,1,2] => 112
[1,6,5,3,2,4,7] => 011100 => [1,3,2] => 48
[1,6,5,3,2,7,4] => 011101 => [1,3,1,1] => 80
[1,6,5,3,4,2,7] => 011010 => [1,2,1,1,1] => 180
[1,6,5,3,4,7,2] => 011001 => [1,2,2,1] => 112
[1,6,5,3,7,2,4] => 011010 => [1,2,1,1,1] => 180
[1,6,5,3,7,4,2] => 011011 => [1,2,1,2] => 112
[1,6,5,4,2,3,7] => 011100 => [1,3,2] => 48
[1,6,5,4,2,7,3] => 011101 => [1,3,1,1] => 80
[1,6,5,4,3,2,7] => 011110 => [1,4,1] => 26
[1,6,5,4,3,7,2] => 011101 => [1,3,1,1] => 80
[1,6,5,4,7,2,3] => 011010 => [1,2,1,1,1] => 180
[1,6,5,4,7,3,2] => 011011 => [1,2,1,2] => 112
[1,6,5,7,2,3,4] => 010100 => [1,1,1,1,2] => 188
[1,6,5,7,2,4,3] => 010101 => [1,1,1,1,1,1] => 296
[1,6,5,7,3,2,4] => 010110 => [1,1,1,2,1] => 188
[1,6,5,7,3,4,2] => 010101 => [1,1,1,1,1,1] => 296
[1,6,5,7,4,2,3] => 010110 => [1,1,1,2,1] => 188
[1,6,5,7,4,3,2] => 010111 => [1,1,1,3] => 82
[1,6,7,2,3,4,5] => 001000 => [2,1,3] => 48
[1,6,7,2,3,5,4] => 001001 => [2,1,2,1] => 112
[1,6,7,2,4,3,5] => 001010 => [2,1,1,1,1] => 180
[1,6,7,2,4,5,3] => 001001 => [2,1,2,1] => 112
[1,6,7,2,5,3,4] => 001010 => [2,1,1,1,1] => 180
[1,6,7,2,5,4,3] => 001011 => [2,1,1,2] => 112
[1,6,7,3,2,4,5] => 001100 => [2,2,2] => 67
[1,6,7,3,2,5,4] => 001101 => [2,2,1,1] => 110
[1,6,7,3,4,2,5] => 001010 => [2,1,1,1,1] => 180
[1,6,7,3,4,5,2] => 001001 => [2,1,2,1] => 112
[1,6,7,3,5,2,4] => 001010 => [2,1,1,1,1] => 180
[1,6,7,3,5,4,2] => 001011 => [2,1,1,2] => 112
[1,6,7,4,2,3,5] => 001100 => [2,2,2] => 67
[1,6,7,4,2,5,3] => 001101 => [2,2,1,1] => 110
[1,6,7,4,3,2,5] => 001110 => [2,3,1] => 48
[1,6,7,4,3,5,2] => 001101 => [2,2,1,1] => 110
[1,6,7,4,5,2,3] => 001010 => [2,1,1,1,1] => 180
[1,6,7,4,5,3,2] => 001011 => [2,1,1,2] => 112
[1,6,7,5,2,3,4] => 001100 => [2,2,2] => 67
[1,6,7,5,2,4,3] => 001101 => [2,2,1,1] => 110
[1,6,7,5,3,2,4] => 001110 => [2,3,1] => 48
[1,6,7,5,3,4,2] => 001101 => [2,2,1,1] => 110
[1,6,7,5,4,2,3] => 001110 => [2,3,1] => 48
[1,6,7,5,4,3,2] => 001111 => [2,4] => 15
[1,7,2,3,4,5,6] => 010000 => [1,1,4] => 26
[1,7,2,3,4,6,5] => 010001 => [1,1,3,1] => 82
[1,7,2,3,5,4,6] => 010010 => [1,1,2,1,1] => 184
[1,7,2,3,5,6,4] => 010001 => [1,1,3,1] => 82
[1,7,2,3,6,4,5] => 010010 => [1,1,2,1,1] => 184
[1,7,2,3,6,5,4] => 010011 => [1,1,2,2] => 114
[1,7,2,4,3,5,6] => 010100 => [1,1,1,1,2] => 188
[1,7,2,4,3,6,5] => 010101 => [1,1,1,1,1,1] => 296
[1,7,2,4,5,3,6] => 010010 => [1,1,2,1,1] => 184
[1,7,2,4,5,6,3] => 010001 => [1,1,3,1] => 82
[1,7,2,4,6,3,5] => 010010 => [1,1,2,1,1] => 184
[1,7,2,4,6,5,3] => 010011 => [1,1,2,2] => 114
[1,7,2,5,3,4,6] => 010100 => [1,1,1,1,2] => 188
[1,7,2,5,3,6,4] => 010101 => [1,1,1,1,1,1] => 296
[1,7,2,5,4,3,6] => 010110 => [1,1,1,2,1] => 188
[1,7,2,5,4,6,3] => 010101 => [1,1,1,1,1,1] => 296
[1,7,2,5,6,3,4] => 010010 => [1,1,2,1,1] => 184
[1,7,2,5,6,4,3] => 010011 => [1,1,2,2] => 114
[1,7,2,6,3,4,5] => 010100 => [1,1,1,1,2] => 188
[1,7,2,6,3,5,4] => 010101 => [1,1,1,1,1,1] => 296
[1,7,2,6,4,3,5] => 010110 => [1,1,1,2,1] => 188
[1,7,2,6,4,5,3] => 010101 => [1,1,1,1,1,1] => 296
[1,7,2,6,5,3,4] => 010110 => [1,1,1,2,1] => 188
[1,7,2,6,5,4,3] => 010111 => [1,1,1,3] => 82
[1,7,3,2,4,5,6] => 011000 => [1,2,3] => 48
[1,7,3,2,4,6,5] => 011001 => [1,2,2,1] => 112
[1,7,3,2,5,4,6] => 011010 => [1,2,1,1,1] => 180
[1,7,3,2,5,6,4] => 011001 => [1,2,2,1] => 112
[1,7,3,2,6,4,5] => 011010 => [1,2,1,1,1] => 180
[1,7,3,2,6,5,4] => 011011 => [1,2,1,2] => 112
[1,7,3,4,2,5,6] => 010100 => [1,1,1,1,2] => 188
[1,7,3,4,2,6,5] => 010101 => [1,1,1,1,1,1] => 296
[1,7,3,4,5,2,6] => 010010 => [1,1,2,1,1] => 184
[1,7,3,4,5,6,2] => 010001 => [1,1,3,1] => 82
[1,7,3,4,6,2,5] => 010010 => [1,1,2,1,1] => 184
[1,7,3,4,6,5,2] => 010011 => [1,1,2,2] => 114
[1,7,3,5,2,4,6] => 010100 => [1,1,1,1,2] => 188
[1,7,3,5,2,6,4] => 010101 => [1,1,1,1,1,1] => 296
[1,7,3,5,4,2,6] => 010110 => [1,1,1,2,1] => 188
[1,7,3,5,4,6,2] => 010101 => [1,1,1,1,1,1] => 296
[1,7,3,5,6,2,4] => 010010 => [1,1,2,1,1] => 184
[1,7,3,5,6,4,2] => 010011 => [1,1,2,2] => 114
[1,7,3,6,2,4,5] => 010100 => [1,1,1,1,2] => 188
[1,7,3,6,2,5,4] => 010101 => [1,1,1,1,1,1] => 296
[1,7,3,6,4,2,5] => 010110 => [1,1,1,2,1] => 188
[1,7,3,6,4,5,2] => 010101 => [1,1,1,1,1,1] => 296
[1,7,3,6,5,2,4] => 010110 => [1,1,1,2,1] => 188
[1,7,3,6,5,4,2] => 010111 => [1,1,1,3] => 82
[1,7,4,2,3,5,6] => 011000 => [1,2,3] => 48
[1,7,4,2,3,6,5] => 011001 => [1,2,2,1] => 112
[1,7,4,2,5,3,6] => 011010 => [1,2,1,1,1] => 180
[1,7,4,2,5,6,3] => 011001 => [1,2,2,1] => 112
[1,7,4,2,6,3,5] => 011010 => [1,2,1,1,1] => 180
[1,7,4,2,6,5,3] => 011011 => [1,2,1,2] => 112
[1,7,4,3,2,5,6] => 011100 => [1,3,2] => 48
[1,7,4,3,2,6,5] => 011101 => [1,3,1,1] => 80
[1,7,4,3,5,2,6] => 011010 => [1,2,1,1,1] => 180
[1,7,4,3,5,6,2] => 011001 => [1,2,2,1] => 112
[1,7,4,3,6,2,5] => 011010 => [1,2,1,1,1] => 180
[1,7,4,3,6,5,2] => 011011 => [1,2,1,2] => 112
[1,7,4,5,2,3,6] => 010100 => [1,1,1,1,2] => 188
[1,7,4,5,2,6,3] => 010101 => [1,1,1,1,1,1] => 296
[1,7,4,5,3,2,6] => 010110 => [1,1,1,2,1] => 188
[1,7,4,5,3,6,2] => 010101 => [1,1,1,1,1,1] => 296
[1,7,4,5,6,2,3] => 010010 => [1,1,2,1,1] => 184
[1,7,4,5,6,3,2] => 010011 => [1,1,2,2] => 114
[1,7,4,6,2,3,5] => 010100 => [1,1,1,1,2] => 188
[1,7,4,6,2,5,3] => 010101 => [1,1,1,1,1,1] => 296
[1,7,4,6,3,2,5] => 010110 => [1,1,1,2,1] => 188
[1,7,4,6,3,5,2] => 010101 => [1,1,1,1,1,1] => 296
[1,7,4,6,5,2,3] => 010110 => [1,1,1,2,1] => 188
[1,7,4,6,5,3,2] => 010111 => [1,1,1,3] => 82
[1,7,5,2,3,4,6] => 011000 => [1,2,3] => 48
[1,7,5,2,3,6,4] => 011001 => [1,2,2,1] => 112
[1,7,5,2,4,3,6] => 011010 => [1,2,1,1,1] => 180
[1,7,5,2,4,6,3] => 011001 => [1,2,2,1] => 112
[1,7,5,2,6,3,4] => 011010 => [1,2,1,1,1] => 180
[1,7,5,2,6,4,3] => 011011 => [1,2,1,2] => 112
[1,7,5,3,2,4,6] => 011100 => [1,3,2] => 48
[1,7,5,3,2,6,4] => 011101 => [1,3,1,1] => 80
[1,7,5,3,4,2,6] => 011010 => [1,2,1,1,1] => 180
[1,7,5,3,4,6,2] => 011001 => [1,2,2,1] => 112
[1,7,5,3,6,2,4] => 011010 => [1,2,1,1,1] => 180
[1,7,5,3,6,4,2] => 011011 => [1,2,1,2] => 112
[1,7,5,4,2,3,6] => 011100 => [1,3,2] => 48
[1,7,5,4,2,6,3] => 011101 => [1,3,1,1] => 80
[1,7,5,4,3,2,6] => 011110 => [1,4,1] => 26
[1,7,5,4,3,6,2] => 011101 => [1,3,1,1] => 80
[1,7,5,4,6,2,3] => 011010 => [1,2,1,1,1] => 180
[1,7,5,4,6,3,2] => 011011 => [1,2,1,2] => 112
[1,7,5,6,2,3,4] => 010100 => [1,1,1,1,2] => 188
[1,7,5,6,2,4,3] => 010101 => [1,1,1,1,1,1] => 296
[1,7,5,6,3,2,4] => 010110 => [1,1,1,2,1] => 188
[1,7,5,6,3,4,2] => 010101 => [1,1,1,1,1,1] => 296
[1,7,5,6,4,2,3] => 010110 => [1,1,1,2,1] => 188
[1,7,5,6,4,3,2] => 010111 => [1,1,1,3] => 82
[1,7,6,2,3,4,5] => 011000 => [1,2,3] => 48
[1,7,6,2,3,5,4] => 011001 => [1,2,2,1] => 112
[1,7,6,2,4,3,5] => 011010 => [1,2,1,1,1] => 180
[1,7,6,2,4,5,3] => 011001 => [1,2,2,1] => 112
[1,7,6,2,5,3,4] => 011010 => [1,2,1,1,1] => 180
[1,7,6,2,5,4,3] => 011011 => [1,2,1,2] => 112
[1,7,6,3,2,4,5] => 011100 => [1,3,2] => 48
[1,7,6,3,2,5,4] => 011101 => [1,3,1,1] => 80
[1,7,6,3,4,2,5] => 011010 => [1,2,1,1,1] => 180
[1,7,6,3,4,5,2] => 011001 => [1,2,2,1] => 112
[1,7,6,3,5,2,4] => 011010 => [1,2,1,1,1] => 180
[1,7,6,3,5,4,2] => 011011 => [1,2,1,2] => 112
[1,7,6,4,2,3,5] => 011100 => [1,3,2] => 48
[1,7,6,4,2,5,3] => 011101 => [1,3,1,1] => 80
[1,7,6,4,3,2,5] => 011110 => [1,4,1] => 26
[1,7,6,4,3,5,2] => 011101 => [1,3,1,1] => 80
[1,7,6,4,5,2,3] => 011010 => [1,2,1,1,1] => 180
[1,7,6,4,5,3,2] => 011011 => [1,2,1,2] => 112
[1,7,6,5,2,3,4] => 011100 => [1,3,2] => 48
[1,7,6,5,2,4,3] => 011101 => [1,3,1,1] => 80
[1,7,6,5,3,2,4] => 011110 => [1,4,1] => 26
[1,7,6,5,3,4,2] => 011101 => [1,3,1,1] => 80
[1,7,6,5,4,2,3] => 011110 => [1,4,1] => 26
[1,7,6,5,4,3,2] => 011111 => [1,5] => 6
[2,1,3,4,5,6,7] => 100000 => [1,5] => 6
[2,1,3,4,5,7,6] => 100001 => [1,4,1] => 26
[2,1,3,4,6,5,7] => 100010 => [1,3,1,1] => 80
[2,1,3,4,6,7,5] => 100001 => [1,4,1] => 26
[2,1,3,4,7,5,6] => 100010 => [1,3,1,1] => 80
[2,1,3,4,7,6,5] => 100011 => [1,3,2] => 48
[2,1,3,5,4,6,7] => 100100 => [1,2,1,2] => 112
[2,1,3,5,4,7,6] => 100101 => [1,2,1,1,1] => 180
[2,1,3,5,6,4,7] => 100010 => [1,3,1,1] => 80
[2,1,3,5,6,7,4] => 100001 => [1,4,1] => 26
[2,1,3,5,7,4,6] => 100010 => [1,3,1,1] => 80
[2,1,3,5,7,6,4] => 100011 => [1,3,2] => 48
[2,1,3,6,4,5,7] => 100100 => [1,2,1,2] => 112
[2,1,3,6,4,7,5] => 100101 => [1,2,1,1,1] => 180
[2,1,3,6,5,4,7] => 100110 => [1,2,2,1] => 112
[2,1,3,6,5,7,4] => 100101 => [1,2,1,1,1] => 180
[2,1,3,6,7,4,5] => 100010 => [1,3,1,1] => 80
[2,1,3,6,7,5,4] => 100011 => [1,3,2] => 48
[2,1,3,7,4,5,6] => 100100 => [1,2,1,2] => 112
[2,1,3,7,4,6,5] => 100101 => [1,2,1,1,1] => 180
[2,1,3,7,5,4,6] => 100110 => [1,2,2,1] => 112
[2,1,3,7,5,6,4] => 100101 => [1,2,1,1,1] => 180
[2,1,3,7,6,4,5] => 100110 => [1,2,2,1] => 112
[2,1,3,7,6,5,4] => 100111 => [1,2,3] => 48
[2,1,4,3,5,6,7] => 101000 => [1,1,1,3] => 82
[2,1,4,3,5,7,6] => 101001 => [1,1,1,2,1] => 188
[2,1,4,3,6,5,7] => 101010 => [1,1,1,1,1,1] => 296
[2,1,4,3,6,7,5] => 101001 => [1,1,1,2,1] => 188
[2,1,4,3,7,5,6] => 101010 => [1,1,1,1,1,1] => 296
[2,1,4,3,7,6,5] => 101011 => [1,1,1,1,2] => 188
[2,1,4,5,3,6,7] => 100100 => [1,2,1,2] => 112
[2,1,4,5,3,7,6] => 100101 => [1,2,1,1,1] => 180
[2,1,4,5,6,3,7] => 100010 => [1,3,1,1] => 80
[2,1,4,5,6,7,3] => 100001 => [1,4,1] => 26
[2,1,4,5,7,3,6] => 100010 => [1,3,1,1] => 80
[2,1,4,5,7,6,3] => 100011 => [1,3,2] => 48
[2,1,4,6,3,5,7] => 100100 => [1,2,1,2] => 112
[2,1,4,6,3,7,5] => 100101 => [1,2,1,1,1] => 180
[2,1,4,6,5,3,7] => 100110 => [1,2,2,1] => 112
[2,1,4,6,5,7,3] => 100101 => [1,2,1,1,1] => 180
[2,1,4,6,7,3,5] => 100010 => [1,3,1,1] => 80
[2,1,4,6,7,5,3] => 100011 => [1,3,2] => 48
[2,1,4,7,3,5,6] => 100100 => [1,2,1,2] => 112
[2,1,4,7,3,6,5] => 100101 => [1,2,1,1,1] => 180
[2,1,4,7,5,3,6] => 100110 => [1,2,2,1] => 112
[2,1,4,7,5,6,3] => 100101 => [1,2,1,1,1] => 180
[2,1,4,7,6,3,5] => 100110 => [1,2,2,1] => 112
[2,1,4,7,6,5,3] => 100111 => [1,2,3] => 48
[2,1,5,3,4,6,7] => 101000 => [1,1,1,3] => 82
[2,1,5,3,4,7,6] => 101001 => [1,1,1,2,1] => 188
[2,1,5,3,6,4,7] => 101010 => [1,1,1,1,1,1] => 296
[2,1,5,3,6,7,4] => 101001 => [1,1,1,2,1] => 188
[2,1,5,3,7,4,6] => 101010 => [1,1,1,1,1,1] => 296
[2,1,5,3,7,6,4] => 101011 => [1,1,1,1,2] => 188
[2,1,5,4,3,6,7] => 101100 => [1,1,2,2] => 114
[2,1,5,4,3,7,6] => 101101 => [1,1,2,1,1] => 184
[2,1,5,4,6,3,7] => 101010 => [1,1,1,1,1,1] => 296
[2,1,5,4,6,7,3] => 101001 => [1,1,1,2,1] => 188
[2,1,5,4,7,3,6] => 101010 => [1,1,1,1,1,1] => 296
[2,1,5,4,7,6,3] => 101011 => [1,1,1,1,2] => 188
[2,1,5,6,3,4,7] => 100100 => [1,2,1,2] => 112
[2,1,5,6,3,7,4] => 100101 => [1,2,1,1,1] => 180
[2,1,5,6,4,3,7] => 100110 => [1,2,2,1] => 112
[2,1,5,6,4,7,3] => 100101 => [1,2,1,1,1] => 180
[2,1,5,6,7,3,4] => 100010 => [1,3,1,1] => 80
[2,1,5,6,7,4,3] => 100011 => [1,3,2] => 48
[2,1,5,7,3,4,6] => 100100 => [1,2,1,2] => 112
[2,1,5,7,3,6,4] => 100101 => [1,2,1,1,1] => 180
[2,1,5,7,4,3,6] => 100110 => [1,2,2,1] => 112
[2,1,5,7,4,6,3] => 100101 => [1,2,1,1,1] => 180
[2,1,5,7,6,3,4] => 100110 => [1,2,2,1] => 112
[2,1,5,7,6,4,3] => 100111 => [1,2,3] => 48
[2,1,6,3,4,5,7] => 101000 => [1,1,1,3] => 82
[2,1,6,3,4,7,5] => 101001 => [1,1,1,2,1] => 188
[2,1,6,3,5,4,7] => 101010 => [1,1,1,1,1,1] => 296
[2,1,6,3,5,7,4] => 101001 => [1,1,1,2,1] => 188
[2,1,6,3,7,4,5] => 101010 => [1,1,1,1,1,1] => 296
[2,1,6,3,7,5,4] => 101011 => [1,1,1,1,2] => 188
[2,1,6,4,3,5,7] => 101100 => [1,1,2,2] => 114
[2,1,6,4,3,7,5] => 101101 => [1,1,2,1,1] => 184
[2,1,6,4,5,3,7] => 101010 => [1,1,1,1,1,1] => 296
[2,1,6,4,5,7,3] => 101001 => [1,1,1,2,1] => 188
[2,1,6,4,7,3,5] => 101010 => [1,1,1,1,1,1] => 296
[2,1,6,4,7,5,3] => 101011 => [1,1,1,1,2] => 188
[2,1,6,5,3,4,7] => 101100 => [1,1,2,2] => 114
[2,1,6,5,3,7,4] => 101101 => [1,1,2,1,1] => 184
[2,1,6,5,4,3,7] => 101110 => [1,1,3,1] => 82
[2,1,6,5,4,7,3] => 101101 => [1,1,2,1,1] => 184
[2,1,6,5,7,3,4] => 101010 => [1,1,1,1,1,1] => 296
[2,1,6,5,7,4,3] => 101011 => [1,1,1,1,2] => 188
[2,1,6,7,3,4,5] => 100100 => [1,2,1,2] => 112
[2,1,6,7,3,5,4] => 100101 => [1,2,1,1,1] => 180
[2,1,6,7,4,3,5] => 100110 => [1,2,2,1] => 112
[2,1,6,7,4,5,3] => 100101 => [1,2,1,1,1] => 180
[2,1,6,7,5,3,4] => 100110 => [1,2,2,1] => 112
[2,1,6,7,5,4,3] => 100111 => [1,2,3] => 48
[2,1,7,3,4,5,6] => 101000 => [1,1,1,3] => 82
[2,1,7,3,4,6,5] => 101001 => [1,1,1,2,1] => 188
[2,1,7,3,5,4,6] => 101010 => [1,1,1,1,1,1] => 296
[2,1,7,3,5,6,4] => 101001 => [1,1,1,2,1] => 188
[2,1,7,3,6,4,5] => 101010 => [1,1,1,1,1,1] => 296
[2,1,7,3,6,5,4] => 101011 => [1,1,1,1,2] => 188
[2,1,7,4,3,5,6] => 101100 => [1,1,2,2] => 114
[2,1,7,4,3,6,5] => 101101 => [1,1,2,1,1] => 184
[2,1,7,4,5,3,6] => 101010 => [1,1,1,1,1,1] => 296
[2,1,7,4,5,6,3] => 101001 => [1,1,1,2,1] => 188
[2,1,7,4,6,3,5] => 101010 => [1,1,1,1,1,1] => 296
[2,1,7,4,6,5,3] => 101011 => [1,1,1,1,2] => 188
[2,1,7,5,3,4,6] => 101100 => [1,1,2,2] => 114
[2,1,7,5,3,6,4] => 101101 => [1,1,2,1,1] => 184
[2,1,7,5,4,3,6] => 101110 => [1,1,3,1] => 82
[2,1,7,5,4,6,3] => 101101 => [1,1,2,1,1] => 184
[2,1,7,5,6,3,4] => 101010 => [1,1,1,1,1,1] => 296
[2,1,7,5,6,4,3] => 101011 => [1,1,1,1,2] => 188
[2,1,7,6,3,4,5] => 101100 => [1,1,2,2] => 114
[2,1,7,6,3,5,4] => 101101 => [1,1,2,1,1] => 184
[2,1,7,6,4,3,5] => 101110 => [1,1,3,1] => 82
[2,1,7,6,4,5,3] => 101101 => [1,1,2,1,1] => 184
[2,1,7,6,5,3,4] => 101110 => [1,1,3,1] => 82
[2,1,7,6,5,4,3] => 101111 => [1,1,4] => 26
[2,3,1,4,5,6,7] => 010000 => [1,1,4] => 26
[2,3,1,4,5,7,6] => 010001 => [1,1,3,1] => 82
[2,3,1,4,6,5,7] => 010010 => [1,1,2,1,1] => 184
[2,3,1,4,6,7,5] => 010001 => [1,1,3,1] => 82
[2,3,1,4,7,5,6] => 010010 => [1,1,2,1,1] => 184
[2,3,1,4,7,6,5] => 010011 => [1,1,2,2] => 114
[2,3,1,5,4,6,7] => 010100 => [1,1,1,1,2] => 188
[2,3,1,5,4,7,6] => 010101 => [1,1,1,1,1,1] => 296
[2,3,1,5,6,4,7] => 010010 => [1,1,2,1,1] => 184
[2,3,1,5,6,7,4] => 010001 => [1,1,3,1] => 82
[2,3,1,5,7,4,6] => 010010 => [1,1,2,1,1] => 184
[2,3,1,5,7,6,4] => 010011 => [1,1,2,2] => 114
[2,3,1,6,4,5,7] => 010100 => [1,1,1,1,2] => 188
[2,3,1,6,4,7,5] => 010101 => [1,1,1,1,1,1] => 296
[2,3,1,6,5,4,7] => 010110 => [1,1,1,2,1] => 188
[2,3,1,6,5,7,4] => 010101 => [1,1,1,1,1,1] => 296
[2,3,1,6,7,4,5] => 010010 => [1,1,2,1,1] => 184
[2,3,1,6,7,5,4] => 010011 => [1,1,2,2] => 114
[2,3,1,7,4,5,6] => 010100 => [1,1,1,1,2] => 188
[2,3,1,7,4,6,5] => 010101 => [1,1,1,1,1,1] => 296
[2,3,1,7,5,4,6] => 010110 => [1,1,1,2,1] => 188
[2,3,1,7,5,6,4] => 010101 => [1,1,1,1,1,1] => 296
[2,3,1,7,6,4,5] => 010110 => [1,1,1,2,1] => 188
[2,3,1,7,6,5,4] => 010111 => [1,1,1,3] => 82
[2,3,4,1,5,6,7] => 001000 => [2,1,3] => 48
[2,3,4,1,5,7,6] => 001001 => [2,1,2,1] => 112
[2,3,4,1,6,5,7] => 001010 => [2,1,1,1,1] => 180
[2,3,4,1,6,7,5] => 001001 => [2,1,2,1] => 112
[2,3,4,1,7,5,6] => 001010 => [2,1,1,1,1] => 180
[2,3,4,1,7,6,5] => 001011 => [2,1,1,2] => 112
[2,3,4,5,1,6,7] => 000100 => [3,1,2] => 48
[2,3,4,5,1,7,6] => 000101 => [3,1,1,1] => 80
[2,3,4,5,6,1,7] => 000010 => [4,1,1] => 26
[2,3,4,5,6,7,1] => 000001 => [5,1] => 6
[2,3,4,5,7,1,6] => 000010 => [4,1,1] => 26
[2,3,4,5,7,6,1] => 000011 => [4,2] => 15
[2,3,4,6,1,5,7] => 000100 => [3,1,2] => 48
[2,3,4,6,1,7,5] => 000101 => [3,1,1,1] => 80
[2,3,4,6,5,1,7] => 000110 => [3,2,1] => 48
[2,3,4,6,5,7,1] => 000101 => [3,1,1,1] => 80
[2,3,4,6,7,1,5] => 000010 => [4,1,1] => 26
[2,3,4,6,7,5,1] => 000011 => [4,2] => 15
[2,3,4,7,1,5,6] => 000100 => [3,1,2] => 48
[2,3,4,7,1,6,5] => 000101 => [3,1,1,1] => 80
[2,3,4,7,5,1,6] => 000110 => [3,2,1] => 48
[2,3,4,7,5,6,1] => 000101 => [3,1,1,1] => 80
[2,3,4,7,6,1,5] => 000110 => [3,2,1] => 48
[2,3,4,7,6,5,1] => 000111 => [3,3] => 20
[2,3,5,1,4,6,7] => 001000 => [2,1,3] => 48
[2,3,5,1,4,7,6] => 001001 => [2,1,2,1] => 112
[2,3,5,1,6,4,7] => 001010 => [2,1,1,1,1] => 180
[2,3,5,1,6,7,4] => 001001 => [2,1,2,1] => 112
[2,3,5,1,7,4,6] => 001010 => [2,1,1,1,1] => 180
[2,3,5,1,7,6,4] => 001011 => [2,1,1,2] => 112
[2,3,5,4,1,6,7] => 001100 => [2,2,2] => 67
[2,3,5,4,1,7,6] => 001101 => [2,2,1,1] => 110
[2,3,5,4,6,1,7] => 001010 => [2,1,1,1,1] => 180
[2,3,5,4,6,7,1] => 001001 => [2,1,2,1] => 112
[2,3,5,4,7,1,6] => 001010 => [2,1,1,1,1] => 180
[2,3,5,4,7,6,1] => 001011 => [2,1,1,2] => 112
[2,3,5,6,1,4,7] => 000100 => [3,1,2] => 48
[2,3,5,6,1,7,4] => 000101 => [3,1,1,1] => 80
[2,3,5,6,4,1,7] => 000110 => [3,2,1] => 48
[2,3,5,6,4,7,1] => 000101 => [3,1,1,1] => 80
[2,3,5,6,7,1,4] => 000010 => [4,1,1] => 26
[2,3,5,6,7,4,1] => 000011 => [4,2] => 15
[2,3,5,7,1,4,6] => 000100 => [3,1,2] => 48
[2,3,5,7,1,6,4] => 000101 => [3,1,1,1] => 80
[2,3,5,7,4,1,6] => 000110 => [3,2,1] => 48
[2,3,5,7,4,6,1] => 000101 => [3,1,1,1] => 80
[2,3,5,7,6,1,4] => 000110 => [3,2,1] => 48
[2,3,5,7,6,4,1] => 000111 => [3,3] => 20
[2,3,6,1,4,5,7] => 001000 => [2,1,3] => 48
[2,3,6,1,4,7,5] => 001001 => [2,1,2,1] => 112
[2,3,6,1,5,4,7] => 001010 => [2,1,1,1,1] => 180
[2,3,6,1,5,7,4] => 001001 => [2,1,2,1] => 112
[2,3,6,1,7,4,5] => 001010 => [2,1,1,1,1] => 180
[2,3,6,1,7,5,4] => 001011 => [2,1,1,2] => 112
[2,3,6,4,1,5,7] => 001100 => [2,2,2] => 67
[2,3,6,4,1,7,5] => 001101 => [2,2,1,1] => 110
[2,3,6,4,5,1,7] => 001010 => [2,1,1,1,1] => 180
[2,3,6,4,5,7,1] => 001001 => [2,1,2,1] => 112
[2,3,6,4,7,1,5] => 001010 => [2,1,1,1,1] => 180
[2,3,6,4,7,5,1] => 001011 => [2,1,1,2] => 112
[2,3,6,5,1,4,7] => 001100 => [2,2,2] => 67
[2,3,6,5,1,7,4] => 001101 => [2,2,1,1] => 110
[2,3,6,5,4,1,7] => 001110 => [2,3,1] => 48
[2,3,6,5,4,7,1] => 001101 => [2,2,1,1] => 110
[2,3,6,5,7,1,4] => 001010 => [2,1,1,1,1] => 180
[2,3,6,5,7,4,1] => 001011 => [2,1,1,2] => 112
[2,3,6,7,1,4,5] => 000100 => [3,1,2] => 48
[2,3,6,7,1,5,4] => 000101 => [3,1,1,1] => 80
[2,3,6,7,4,1,5] => 000110 => [3,2,1] => 48
[2,3,6,7,4,5,1] => 000101 => [3,1,1,1] => 80
[2,3,6,7,5,1,4] => 000110 => [3,2,1] => 48
[2,3,6,7,5,4,1] => 000111 => [3,3] => 20
[2,3,7,1,4,5,6] => 001000 => [2,1,3] => 48
[2,3,7,1,4,6,5] => 001001 => [2,1,2,1] => 112
[2,3,7,1,5,4,6] => 001010 => [2,1,1,1,1] => 180
[2,3,7,1,5,6,4] => 001001 => [2,1,2,1] => 112
[2,3,7,1,6,4,5] => 001010 => [2,1,1,1,1] => 180
[2,3,7,1,6,5,4] => 001011 => [2,1,1,2] => 112
[2,3,7,4,1,5,6] => 001100 => [2,2,2] => 67
[2,3,7,4,1,6,5] => 001101 => [2,2,1,1] => 110
[2,3,7,4,5,1,6] => 001010 => [2,1,1,1,1] => 180
[2,3,7,4,5,6,1] => 001001 => [2,1,2,1] => 112
[2,3,7,4,6,1,5] => 001010 => [2,1,1,1,1] => 180
[2,3,7,4,6,5,1] => 001011 => [2,1,1,2] => 112
[2,3,7,5,1,4,6] => 001100 => [2,2,2] => 67
[2,3,7,5,1,6,4] => 001101 => [2,2,1,1] => 110
[2,3,7,5,4,1,6] => 001110 => [2,3,1] => 48
[2,3,7,5,4,6,1] => 001101 => [2,2,1,1] => 110
[2,3,7,5,6,1,4] => 001010 => [2,1,1,1,1] => 180
[2,3,7,5,6,4,1] => 001011 => [2,1,1,2] => 112
[2,3,7,6,1,4,5] => 001100 => [2,2,2] => 67
[2,3,7,6,1,5,4] => 001101 => [2,2,1,1] => 110
[2,3,7,6,4,1,5] => 001110 => [2,3,1] => 48
[2,3,7,6,4,5,1] => 001101 => [2,2,1,1] => 110
[2,3,7,6,5,1,4] => 001110 => [2,3,1] => 48
[2,3,7,6,5,4,1] => 001111 => [2,4] => 15
[2,4,1,3,5,6,7] => 010000 => [1,1,4] => 26
[2,4,1,3,5,7,6] => 010001 => [1,1,3,1] => 82
[2,4,1,3,6,5,7] => 010010 => [1,1,2,1,1] => 184
[2,4,1,3,6,7,5] => 010001 => [1,1,3,1] => 82
[2,4,1,3,7,5,6] => 010010 => [1,1,2,1,1] => 184
[2,4,1,3,7,6,5] => 010011 => [1,1,2,2] => 114
[2,4,1,5,3,6,7] => 010100 => [1,1,1,1,2] => 188
[2,4,1,5,3,7,6] => 010101 => [1,1,1,1,1,1] => 296
[2,4,1,5,6,3,7] => 010010 => [1,1,2,1,1] => 184
[2,4,1,5,6,7,3] => 010001 => [1,1,3,1] => 82
[2,4,1,5,7,3,6] => 010010 => [1,1,2,1,1] => 184
[2,4,1,5,7,6,3] => 010011 => [1,1,2,2] => 114
[2,4,1,6,3,5,7] => 010100 => [1,1,1,1,2] => 188
[2,4,1,6,3,7,5] => 010101 => [1,1,1,1,1,1] => 296
[2,4,1,6,5,3,7] => 010110 => [1,1,1,2,1] => 188
[2,4,1,6,5,7,3] => 010101 => [1,1,1,1,1,1] => 296
[2,4,1,6,7,3,5] => 010010 => [1,1,2,1,1] => 184
[2,4,1,6,7,5,3] => 010011 => [1,1,2,2] => 114
[2,4,1,7,3,5,6] => 010100 => [1,1,1,1,2] => 188
[2,4,1,7,3,6,5] => 010101 => [1,1,1,1,1,1] => 296
[2,4,1,7,5,3,6] => 010110 => [1,1,1,2,1] => 188
[2,4,1,7,5,6,3] => 010101 => [1,1,1,1,1,1] => 296
[2,4,1,7,6,3,5] => 010110 => [1,1,1,2,1] => 188
[2,4,1,7,6,5,3] => 010111 => [1,1,1,3] => 82
[2,4,3,1,5,6,7] => 011000 => [1,2,3] => 48
[2,4,3,1,5,7,6] => 011001 => [1,2,2,1] => 112
[2,4,3,1,6,5,7] => 011010 => [1,2,1,1,1] => 180
[2,4,3,1,6,7,5] => 011001 => [1,2,2,1] => 112
[2,4,3,1,7,5,6] => 011010 => [1,2,1,1,1] => 180
[2,4,3,1,7,6,5] => 011011 => [1,2,1,2] => 112
[2,4,3,5,1,6,7] => 010100 => [1,1,1,1,2] => 188
[2,4,3,5,1,7,6] => 010101 => [1,1,1,1,1,1] => 296
[2,4,3,5,6,1,7] => 010010 => [1,1,2,1,1] => 184
[2,4,3,5,6,7,1] => 010001 => [1,1,3,1] => 82
[2,4,3,5,7,1,6] => 010010 => [1,1,2,1,1] => 184
[2,4,3,5,7,6,1] => 010011 => [1,1,2,2] => 114
[2,4,3,6,1,5,7] => 010100 => [1,1,1,1,2] => 188
[2,4,3,6,1,7,5] => 010101 => [1,1,1,1,1,1] => 296
[2,4,3,6,5,1,7] => 010110 => [1,1,1,2,1] => 188
[2,4,3,6,5,7,1] => 010101 => [1,1,1,1,1,1] => 296
[2,4,3,6,7,1,5] => 010010 => [1,1,2,1,1] => 184
[2,4,3,6,7,5,1] => 010011 => [1,1,2,2] => 114
[2,4,3,7,1,5,6] => 010100 => [1,1,1,1,2] => 188
[2,4,3,7,1,6,5] => 010101 => [1,1,1,1,1,1] => 296
[2,4,3,7,5,1,6] => 010110 => [1,1,1,2,1] => 188
[2,4,3,7,5,6,1] => 010101 => [1,1,1,1,1,1] => 296
[2,4,3,7,6,1,5] => 010110 => [1,1,1,2,1] => 188
[2,4,3,7,6,5,1] => 010111 => [1,1,1,3] => 82
[2,4,5,1,3,6,7] => 001000 => [2,1,3] => 48
[2,4,5,1,3,7,6] => 001001 => [2,1,2,1] => 112
[2,4,5,1,6,3,7] => 001010 => [2,1,1,1,1] => 180
[2,4,5,1,6,7,3] => 001001 => [2,1,2,1] => 112
[2,4,5,1,7,3,6] => 001010 => [2,1,1,1,1] => 180
[2,4,5,1,7,6,3] => 001011 => [2,1,1,2] => 112
[2,4,5,3,1,6,7] => 001100 => [2,2,2] => 67
[2,4,5,3,1,7,6] => 001101 => [2,2,1,1] => 110
[2,4,5,3,6,1,7] => 001010 => [2,1,1,1,1] => 180
[2,4,5,3,6,7,1] => 001001 => [2,1,2,1] => 112
[2,4,5,3,7,1,6] => 001010 => [2,1,1,1,1] => 180
[2,4,5,3,7,6,1] => 001011 => [2,1,1,2] => 112
[2,4,5,6,1,3,7] => 000100 => [3,1,2] => 48
[2,4,5,6,1,7,3] => 000101 => [3,1,1,1] => 80
[2,4,5,6,3,1,7] => 000110 => [3,2,1] => 48
[2,4,5,6,3,7,1] => 000101 => [3,1,1,1] => 80
[2,4,5,6,7,1,3] => 000010 => [4,1,1] => 26
[2,4,5,6,7,3,1] => 000011 => [4,2] => 15
[2,4,5,7,1,3,6] => 000100 => [3,1,2] => 48
[2,4,5,7,1,6,3] => 000101 => [3,1,1,1] => 80
[2,4,5,7,3,1,6] => 000110 => [3,2,1] => 48
[2,4,5,7,3,6,1] => 000101 => [3,1,1,1] => 80
[2,4,5,7,6,1,3] => 000110 => [3,2,1] => 48
[2,4,5,7,6,3,1] => 000111 => [3,3] => 20
[2,4,6,1,3,5,7] => 001000 => [2,1,3] => 48
[2,4,6,1,3,7,5] => 001001 => [2,1,2,1] => 112
[2,4,6,1,5,3,7] => 001010 => [2,1,1,1,1] => 180
[2,4,6,1,5,7,3] => 001001 => [2,1,2,1] => 112
[2,4,6,1,7,3,5] => 001010 => [2,1,1,1,1] => 180
[2,4,6,1,7,5,3] => 001011 => [2,1,1,2] => 112
[2,4,6,3,1,5,7] => 001100 => [2,2,2] => 67
[2,4,6,3,1,7,5] => 001101 => [2,2,1,1] => 110
[2,4,6,3,5,1,7] => 001010 => [2,1,1,1,1] => 180
[2,4,6,3,5,7,1] => 001001 => [2,1,2,1] => 112
[2,4,6,3,7,1,5] => 001010 => [2,1,1,1,1] => 180
[2,4,6,3,7,5,1] => 001011 => [2,1,1,2] => 112
[2,4,6,5,1,3,7] => 001100 => [2,2,2] => 67
[2,4,6,5,1,7,3] => 001101 => [2,2,1,1] => 110
[2,4,6,5,3,1,7] => 001110 => [2,3,1] => 48
[2,4,6,5,3,7,1] => 001101 => [2,2,1,1] => 110
[2,4,6,5,7,1,3] => 001010 => [2,1,1,1,1] => 180
[2,4,6,5,7,3,1] => 001011 => [2,1,1,2] => 112
[2,4,6,7,1,3,5] => 000100 => [3,1,2] => 48
[2,4,6,7,1,5,3] => 000101 => [3,1,1,1] => 80
[2,4,6,7,3,1,5] => 000110 => [3,2,1] => 48
[2,4,6,7,3,5,1] => 000101 => [3,1,1,1] => 80
[2,4,6,7,5,1,3] => 000110 => [3,2,1] => 48
[2,4,6,7,5,3,1] => 000111 => [3,3] => 20
[2,4,7,1,3,5,6] => 001000 => [2,1,3] => 48
[2,4,7,1,3,6,5] => 001001 => [2,1,2,1] => 112
[2,4,7,1,5,3,6] => 001010 => [2,1,1,1,1] => 180
[2,4,7,1,5,6,3] => 001001 => [2,1,2,1] => 112
[2,4,7,1,6,3,5] => 001010 => [2,1,1,1,1] => 180
[2,4,7,1,6,5,3] => 001011 => [2,1,1,2] => 112
[2,4,7,3,1,5,6] => 001100 => [2,2,2] => 67
[2,4,7,3,1,6,5] => 001101 => [2,2,1,1] => 110
[2,4,7,3,5,1,6] => 001010 => [2,1,1,1,1] => 180
[2,4,7,3,5,6,1] => 001001 => [2,1,2,1] => 112
[2,4,7,3,6,1,5] => 001010 => [2,1,1,1,1] => 180
[2,4,7,3,6,5,1] => 001011 => [2,1,1,2] => 112
[2,4,7,5,1,3,6] => 001100 => [2,2,2] => 67
[2,4,7,5,1,6,3] => 001101 => [2,2,1,1] => 110
[2,4,7,5,3,1,6] => 001110 => [2,3,1] => 48
[2,4,7,5,3,6,1] => 001101 => [2,2,1,1] => 110
[2,4,7,5,6,1,3] => 001010 => [2,1,1,1,1] => 180
[2,4,7,5,6,3,1] => 001011 => [2,1,1,2] => 112
[2,4,7,6,1,3,5] => 001100 => [2,2,2] => 67
[2,4,7,6,1,5,3] => 001101 => [2,2,1,1] => 110
[2,4,7,6,3,1,5] => 001110 => [2,3,1] => 48
[2,4,7,6,3,5,1] => 001101 => [2,2,1,1] => 110
[2,4,7,6,5,1,3] => 001110 => [2,3,1] => 48
[2,4,7,6,5,3,1] => 001111 => [2,4] => 15
[2,5,1,3,4,6,7] => 010000 => [1,1,4] => 26
[2,5,1,3,4,7,6] => 010001 => [1,1,3,1] => 82
[2,5,1,3,6,4,7] => 010010 => [1,1,2,1,1] => 184
[2,5,1,3,6,7,4] => 010001 => [1,1,3,1] => 82
[2,5,1,3,7,4,6] => 010010 => [1,1,2,1,1] => 184
[2,5,1,3,7,6,4] => 010011 => [1,1,2,2] => 114
[2,5,1,4,3,6,7] => 010100 => [1,1,1,1,2] => 188
[2,5,1,4,3,7,6] => 010101 => [1,1,1,1,1,1] => 296
[2,5,1,4,6,3,7] => 010010 => [1,1,2,1,1] => 184
[2,5,1,4,6,7,3] => 010001 => [1,1,3,1] => 82
[2,5,1,4,7,3,6] => 010010 => [1,1,2,1,1] => 184
[2,5,1,4,7,6,3] => 010011 => [1,1,2,2] => 114
[2,5,1,6,3,4,7] => 010100 => [1,1,1,1,2] => 188
[2,5,1,6,3,7,4] => 010101 => [1,1,1,1,1,1] => 296
[2,5,1,6,4,3,7] => 010110 => [1,1,1,2,1] => 188
[2,5,1,6,4,7,3] => 010101 => [1,1,1,1,1,1] => 296
[2,5,1,6,7,3,4] => 010010 => [1,1,2,1,1] => 184
[2,5,1,6,7,4,3] => 010011 => [1,1,2,2] => 114
[2,5,1,7,3,4,6] => 010100 => [1,1,1,1,2] => 188
[2,5,1,7,3,6,4] => 010101 => [1,1,1,1,1,1] => 296
[2,5,1,7,4,3,6] => 010110 => [1,1,1,2,1] => 188
[2,5,1,7,4,6,3] => 010101 => [1,1,1,1,1,1] => 296
[2,5,1,7,6,3,4] => 010110 => [1,1,1,2,1] => 188
[2,5,1,7,6,4,3] => 010111 => [1,1,1,3] => 82
[2,5,3,1,4,6,7] => 011000 => [1,2,3] => 48
[2,5,3,1,4,7,6] => 011001 => [1,2,2,1] => 112
[2,5,3,1,6,4,7] => 011010 => [1,2,1,1,1] => 180
[2,5,3,1,6,7,4] => 011001 => [1,2,2,1] => 112
[2,5,3,1,7,4,6] => 011010 => [1,2,1,1,1] => 180
[2,5,3,1,7,6,4] => 011011 => [1,2,1,2] => 112
[2,5,3,4,1,6,7] => 010100 => [1,1,1,1,2] => 188
[2,5,3,4,1,7,6] => 010101 => [1,1,1,1,1,1] => 296
[2,5,3,4,6,1,7] => 010010 => [1,1,2,1,1] => 184
[2,5,3,4,6,7,1] => 010001 => [1,1,3,1] => 82
[2,5,3,4,7,1,6] => 010010 => [1,1,2,1,1] => 184
[2,5,3,4,7,6,1] => 010011 => [1,1,2,2] => 114
[2,5,3,6,1,4,7] => 010100 => [1,1,1,1,2] => 188
[2,5,3,6,1,7,4] => 010101 => [1,1,1,1,1,1] => 296
[2,5,3,6,4,1,7] => 010110 => [1,1,1,2,1] => 188
[2,5,3,6,4,7,1] => 010101 => [1,1,1,1,1,1] => 296
[2,5,3,6,7,1,4] => 010010 => [1,1,2,1,1] => 184
[2,5,3,6,7,4,1] => 010011 => [1,1,2,2] => 114
[2,5,3,7,1,4,6] => 010100 => [1,1,1,1,2] => 188
[2,5,3,7,1,6,4] => 010101 => [1,1,1,1,1,1] => 296
[2,5,3,7,4,1,6] => 010110 => [1,1,1,2,1] => 188
[2,5,3,7,4,6,1] => 010101 => [1,1,1,1,1,1] => 296
[2,5,3,7,6,1,4] => 010110 => [1,1,1,2,1] => 188
[2,5,3,7,6,4,1] => 010111 => [1,1,1,3] => 82
[2,5,4,1,3,6,7] => 011000 => [1,2,3] => 48
[2,5,4,1,3,7,6] => 011001 => [1,2,2,1] => 112
[2,5,4,1,6,3,7] => 011010 => [1,2,1,1,1] => 180
[2,5,4,1,6,7,3] => 011001 => [1,2,2,1] => 112
[2,5,4,1,7,3,6] => 011010 => [1,2,1,1,1] => 180
[2,5,4,1,7,6,3] => 011011 => [1,2,1,2] => 112
[2,5,4,3,1,6,7] => 011100 => [1,3,2] => 48
[2,5,4,3,1,7,6] => 011101 => [1,3,1,1] => 80
[2,5,4,3,6,1,7] => 011010 => [1,2,1,1,1] => 180
[2,5,4,3,6,7,1] => 011001 => [1,2,2,1] => 112
[2,5,4,3,7,1,6] => 011010 => [1,2,1,1,1] => 180
[2,5,4,3,7,6,1] => 011011 => [1,2,1,2] => 112
[2,5,4,6,1,3,7] => 010100 => [1,1,1,1,2] => 188
[2,5,4,6,1,7,3] => 010101 => [1,1,1,1,1,1] => 296
[2,5,4,6,3,1,7] => 010110 => [1,1,1,2,1] => 188
[2,5,4,6,3,7,1] => 010101 => [1,1,1,1,1,1] => 296
[2,5,4,6,7,1,3] => 010010 => [1,1,2,1,1] => 184
[2,5,4,6,7,3,1] => 010011 => [1,1,2,2] => 114
[2,5,4,7,1,3,6] => 010100 => [1,1,1,1,2] => 188
[2,5,4,7,1,6,3] => 010101 => [1,1,1,1,1,1] => 296
[2,5,4,7,3,1,6] => 010110 => [1,1,1,2,1] => 188
[2,5,4,7,3,6,1] => 010101 => [1,1,1,1,1,1] => 296
[2,5,4,7,6,1,3] => 010110 => [1,1,1,2,1] => 188
[2,5,4,7,6,3,1] => 010111 => [1,1,1,3] => 82
[2,5,6,1,3,4,7] => 001000 => [2,1,3] => 48
[2,5,6,1,3,7,4] => 001001 => [2,1,2,1] => 112
[2,5,6,1,4,3,7] => 001010 => [2,1,1,1,1] => 180
[2,5,6,1,4,7,3] => 001001 => [2,1,2,1] => 112
[2,5,6,1,7,3,4] => 001010 => [2,1,1,1,1] => 180
[2,5,6,1,7,4,3] => 001011 => [2,1,1,2] => 112
[2,5,6,3,1,4,7] => 001100 => [2,2,2] => 67
[2,5,6,3,1,7,4] => 001101 => [2,2,1,1] => 110
[2,5,6,3,4,1,7] => 001010 => [2,1,1,1,1] => 180
[2,5,6,3,4,7,1] => 001001 => [2,1,2,1] => 112
[2,5,6,3,7,1,4] => 001010 => [2,1,1,1,1] => 180
[2,5,6,3,7,4,1] => 001011 => [2,1,1,2] => 112
[2,5,6,4,1,3,7] => 001100 => [2,2,2] => 67
[2,5,6,4,1,7,3] => 001101 => [2,2,1,1] => 110
[2,5,6,4,3,1,7] => 001110 => [2,3,1] => 48
[2,5,6,4,3,7,1] => 001101 => [2,2,1,1] => 110
[2,5,6,4,7,1,3] => 001010 => [2,1,1,1,1] => 180
[2,5,6,4,7,3,1] => 001011 => [2,1,1,2] => 112
[2,5,6,7,1,3,4] => 000100 => [3,1,2] => 48
[2,5,6,7,1,4,3] => 000101 => [3,1,1,1] => 80
[2,5,6,7,3,1,4] => 000110 => [3,2,1] => 48
[2,5,6,7,3,4,1] => 000101 => [3,1,1,1] => 80
[2,5,6,7,4,1,3] => 000110 => [3,2,1] => 48
[2,5,6,7,4,3,1] => 000111 => [3,3] => 20
[2,5,7,1,3,4,6] => 001000 => [2,1,3] => 48
[2,5,7,1,3,6,4] => 001001 => [2,1,2,1] => 112
[2,5,7,1,4,3,6] => 001010 => [2,1,1,1,1] => 180
[2,5,7,1,4,6,3] => 001001 => [2,1,2,1] => 112
[2,5,7,1,6,3,4] => 001010 => [2,1,1,1,1] => 180
[2,5,7,1,6,4,3] => 001011 => [2,1,1,2] => 112
[2,5,7,3,1,4,6] => 001100 => [2,2,2] => 67
[2,5,7,3,1,6,4] => 001101 => [2,2,1,1] => 110
[2,5,7,3,4,1,6] => 001010 => [2,1,1,1,1] => 180
[2,5,7,3,4,6,1] => 001001 => [2,1,2,1] => 112
[2,5,7,3,6,1,4] => 001010 => [2,1,1,1,1] => 180
[2,5,7,3,6,4,1] => 001011 => [2,1,1,2] => 112
[2,5,7,4,1,3,6] => 001100 => [2,2,2] => 67
[2,5,7,4,1,6,3] => 001101 => [2,2,1,1] => 110
[2,5,7,4,3,1,6] => 001110 => [2,3,1] => 48
[2,5,7,4,3,6,1] => 001101 => [2,2,1,1] => 110
[2,5,7,4,6,1,3] => 001010 => [2,1,1,1,1] => 180
[2,5,7,4,6,3,1] => 001011 => [2,1,1,2] => 112
[2,5,7,6,1,3,4] => 001100 => [2,2,2] => 67
[2,5,7,6,1,4,3] => 001101 => [2,2,1,1] => 110
[2,5,7,6,3,1,4] => 001110 => [2,3,1] => 48
[2,5,7,6,3,4,1] => 001101 => [2,2,1,1] => 110
[2,5,7,6,4,1,3] => 001110 => [2,3,1] => 48
[2,5,7,6,4,3,1] => 001111 => [2,4] => 15
[2,6,1,3,4,5,7] => 010000 => [1,1,4] => 26
[2,6,1,3,4,7,5] => 010001 => [1,1,3,1] => 82
[2,6,1,3,5,4,7] => 010010 => [1,1,2,1,1] => 184
[2,6,1,3,5,7,4] => 010001 => [1,1,3,1] => 82
[2,6,1,3,7,4,5] => 010010 => [1,1,2,1,1] => 184
[2,6,1,3,7,5,4] => 010011 => [1,1,2,2] => 114
[2,6,1,4,3,5,7] => 010100 => [1,1,1,1,2] => 188
[2,6,1,4,3,7,5] => 010101 => [1,1,1,1,1,1] => 296
[2,6,1,4,5,3,7] => 010010 => [1,1,2,1,1] => 184
[2,6,1,4,5,7,3] => 010001 => [1,1,3,1] => 82
[2,6,1,4,7,3,5] => 010010 => [1,1,2,1,1] => 184
[2,6,1,4,7,5,3] => 010011 => [1,1,2,2] => 114
[2,6,1,5,3,4,7] => 010100 => [1,1,1,1,2] => 188
[2,6,1,5,3,7,4] => 010101 => [1,1,1,1,1,1] => 296
[2,6,1,5,4,3,7] => 010110 => [1,1,1,2,1] => 188
[2,6,1,5,4,7,3] => 010101 => [1,1,1,1,1,1] => 296
[2,6,1,5,7,3,4] => 010010 => [1,1,2,1,1] => 184
[2,6,1,5,7,4,3] => 010011 => [1,1,2,2] => 114
[2,6,1,7,3,4,5] => 010100 => [1,1,1,1,2] => 188
[2,6,1,7,3,5,4] => 010101 => [1,1,1,1,1,1] => 296
[2,6,1,7,4,3,5] => 010110 => [1,1,1,2,1] => 188
[2,6,1,7,4,5,3] => 010101 => [1,1,1,1,1,1] => 296
[2,6,1,7,5,3,4] => 010110 => [1,1,1,2,1] => 188
[2,6,1,7,5,4,3] => 010111 => [1,1,1,3] => 82
[2,6,3,1,4,5,7] => 011000 => [1,2,3] => 48
[2,6,3,1,4,7,5] => 011001 => [1,2,2,1] => 112
[2,6,3,1,5,4,7] => 011010 => [1,2,1,1,1] => 180
[2,6,3,1,5,7,4] => 011001 => [1,2,2,1] => 112
[2,6,3,1,7,4,5] => 011010 => [1,2,1,1,1] => 180
[2,6,3,1,7,5,4] => 011011 => [1,2,1,2] => 112
[2,6,3,4,1,5,7] => 010100 => [1,1,1,1,2] => 188
[2,6,3,4,1,7,5] => 010101 => [1,1,1,1,1,1] => 296
[2,6,3,4,5,1,7] => 010010 => [1,1,2,1,1] => 184
[2,6,3,4,5,7,1] => 010001 => [1,1,3,1] => 82
[2,6,3,4,7,1,5] => 010010 => [1,1,2,1,1] => 184
[2,6,3,4,7,5,1] => 010011 => [1,1,2,2] => 114
[2,6,3,5,1,4,7] => 010100 => [1,1,1,1,2] => 188
[2,6,3,5,1,7,4] => 010101 => [1,1,1,1,1,1] => 296
[2,6,3,5,4,1,7] => 010110 => [1,1,1,2,1] => 188
[2,6,3,5,4,7,1] => 010101 => [1,1,1,1,1,1] => 296
[2,6,3,5,7,1,4] => 010010 => [1,1,2,1,1] => 184
[2,6,3,5,7,4,1] => 010011 => [1,1,2,2] => 114
[2,6,3,7,1,4,5] => 010100 => [1,1,1,1,2] => 188
[2,6,3,7,1,5,4] => 010101 => [1,1,1,1,1,1] => 296
[2,6,3,7,4,1,5] => 010110 => [1,1,1,2,1] => 188
[2,6,3,7,4,5,1] => 010101 => [1,1,1,1,1,1] => 296
[2,6,3,7,5,1,4] => 010110 => [1,1,1,2,1] => 188
[2,6,3,7,5,4,1] => 010111 => [1,1,1,3] => 82
[2,6,4,1,3,5,7] => 011000 => [1,2,3] => 48
[2,6,4,1,3,7,5] => 011001 => [1,2,2,1] => 112
[2,6,4,1,5,3,7] => 011010 => [1,2,1,1,1] => 180
[2,6,4,1,5,7,3] => 011001 => [1,2,2,1] => 112
[2,6,4,1,7,3,5] => 011010 => [1,2,1,1,1] => 180
[2,6,4,1,7,5,3] => 011011 => [1,2,1,2] => 112
[2,6,4,3,1,5,7] => 011100 => [1,3,2] => 48
[2,6,4,3,1,7,5] => 011101 => [1,3,1,1] => 80
[2,6,4,3,5,1,7] => 011010 => [1,2,1,1,1] => 180
[2,6,4,3,5,7,1] => 011001 => [1,2,2,1] => 112
[2,6,4,3,7,1,5] => 011010 => [1,2,1,1,1] => 180
[2,6,4,3,7,5,1] => 011011 => [1,2,1,2] => 112
[2,6,4,5,1,3,7] => 010100 => [1,1,1,1,2] => 188
[2,6,4,5,1,7,3] => 010101 => [1,1,1,1,1,1] => 296
[2,6,4,5,3,1,7] => 010110 => [1,1,1,2,1] => 188
[2,6,4,5,3,7,1] => 010101 => [1,1,1,1,1,1] => 296
[2,6,4,5,7,1,3] => 010010 => [1,1,2,1,1] => 184
[2,6,4,5,7,3,1] => 010011 => [1,1,2,2] => 114
[2,6,4,7,1,3,5] => 010100 => [1,1,1,1,2] => 188
[2,6,4,7,1,5,3] => 010101 => [1,1,1,1,1,1] => 296
[2,6,4,7,3,1,5] => 010110 => [1,1,1,2,1] => 188
[2,6,4,7,3,5,1] => 010101 => [1,1,1,1,1,1] => 296
[2,6,4,7,5,1,3] => 010110 => [1,1,1,2,1] => 188
[2,6,4,7,5,3,1] => 010111 => [1,1,1,3] => 82
[2,6,5,1,3,4,7] => 011000 => [1,2,3] => 48
[2,6,5,1,3,7,4] => 011001 => [1,2,2,1] => 112
[2,6,5,1,4,3,7] => 011010 => [1,2,1,1,1] => 180
[2,6,5,1,4,7,3] => 011001 => [1,2,2,1] => 112
[2,6,5,1,7,3,4] => 011010 => [1,2,1,1,1] => 180
[2,6,5,1,7,4,3] => 011011 => [1,2,1,2] => 112
[2,6,5,3,1,4,7] => 011100 => [1,3,2] => 48
[2,6,5,3,1,7,4] => 011101 => [1,3,1,1] => 80
[2,6,5,3,4,1,7] => 011010 => [1,2,1,1,1] => 180
[2,6,5,3,4,7,1] => 011001 => [1,2,2,1] => 112
[2,6,5,3,7,1,4] => 011010 => [1,2,1,1,1] => 180
[2,6,5,3,7,4,1] => 011011 => [1,2,1,2] => 112
[2,6,5,4,1,3,7] => 011100 => [1,3,2] => 48
[2,6,5,4,1,7,3] => 011101 => [1,3,1,1] => 80
[2,6,5,4,3,1,7] => 011110 => [1,4,1] => 26
[2,6,5,4,3,7,1] => 011101 => [1,3,1,1] => 80
[2,6,5,4,7,1,3] => 011010 => [1,2,1,1,1] => 180
[2,6,5,4,7,3,1] => 011011 => [1,2,1,2] => 112
[2,6,5,7,1,3,4] => 010100 => [1,1,1,1,2] => 188
[2,6,5,7,1,4,3] => 010101 => [1,1,1,1,1,1] => 296
[2,6,5,7,3,1,4] => 010110 => [1,1,1,2,1] => 188
[2,6,5,7,3,4,1] => 010101 => [1,1,1,1,1,1] => 296
[2,6,5,7,4,1,3] => 010110 => [1,1,1,2,1] => 188
[2,6,5,7,4,3,1] => 010111 => [1,1,1,3] => 82
[2,6,7,1,3,4,5] => 001000 => [2,1,3] => 48
[2,6,7,1,3,5,4] => 001001 => [2,1,2,1] => 112
[2,6,7,1,4,3,5] => 001010 => [2,1,1,1,1] => 180
[2,6,7,1,4,5,3] => 001001 => [2,1,2,1] => 112
[2,6,7,1,5,3,4] => 001010 => [2,1,1,1,1] => 180
[2,6,7,1,5,4,3] => 001011 => [2,1,1,2] => 112
[2,6,7,3,1,4,5] => 001100 => [2,2,2] => 67
[2,6,7,3,1,5,4] => 001101 => [2,2,1,1] => 110
[2,6,7,3,4,1,5] => 001010 => [2,1,1,1,1] => 180
[2,6,7,3,4,5,1] => 001001 => [2,1,2,1] => 112
[2,6,7,3,5,1,4] => 001010 => [2,1,1,1,1] => 180
[2,6,7,3,5,4,1] => 001011 => [2,1,1,2] => 112
[2,6,7,4,1,3,5] => 001100 => [2,2,2] => 67
[2,6,7,4,1,5,3] => 001101 => [2,2,1,1] => 110
[2,6,7,4,3,1,5] => 001110 => [2,3,1] => 48
[2,6,7,4,3,5,1] => 001101 => [2,2,1,1] => 110
[2,6,7,4,5,1,3] => 001010 => [2,1,1,1,1] => 180
[2,6,7,4,5,3,1] => 001011 => [2,1,1,2] => 112
[2,6,7,5,1,3,4] => 001100 => [2,2,2] => 67
[2,6,7,5,1,4,3] => 001101 => [2,2,1,1] => 110
[2,6,7,5,3,1,4] => 001110 => [2,3,1] => 48
[2,6,7,5,3,4,1] => 001101 => [2,2,1,1] => 110
[2,6,7,5,4,1,3] => 001110 => [2,3,1] => 48
[2,6,7,5,4,3,1] => 001111 => [2,4] => 15
[2,7,1,3,4,5,6] => 010000 => [1,1,4] => 26
[2,7,1,3,4,6,5] => 010001 => [1,1,3,1] => 82
[2,7,1,3,5,4,6] => 010010 => [1,1,2,1,1] => 184
[2,7,1,3,5,6,4] => 010001 => [1,1,3,1] => 82
[2,7,1,3,6,4,5] => 010010 => [1,1,2,1,1] => 184
[2,7,1,3,6,5,4] => 010011 => [1,1,2,2] => 114
[2,7,1,4,3,5,6] => 010100 => [1,1,1,1,2] => 188
[2,7,1,4,3,6,5] => 010101 => [1,1,1,1,1,1] => 296
[2,7,1,4,5,3,6] => 010010 => [1,1,2,1,1] => 184
[2,7,1,4,5,6,3] => 010001 => [1,1,3,1] => 82
[2,7,1,4,6,3,5] => 010010 => [1,1,2,1,1] => 184
[2,7,1,4,6,5,3] => 010011 => [1,1,2,2] => 114
[2,7,1,5,3,4,6] => 010100 => [1,1,1,1,2] => 188
[2,7,1,5,3,6,4] => 010101 => [1,1,1,1,1,1] => 296
[2,7,1,5,4,3,6] => 010110 => [1,1,1,2,1] => 188
[2,7,1,5,4,6,3] => 010101 => [1,1,1,1,1,1] => 296
[2,7,1,5,6,3,4] => 010010 => [1,1,2,1,1] => 184
[2,7,1,5,6,4,3] => 010011 => [1,1,2,2] => 114
[2,7,1,6,3,4,5] => 010100 => [1,1,1,1,2] => 188
[2,7,1,6,3,5,4] => 010101 => [1,1,1,1,1,1] => 296
[2,7,1,6,4,3,5] => 010110 => [1,1,1,2,1] => 188
[2,7,1,6,4,5,3] => 010101 => [1,1,1,1,1,1] => 296
[2,7,1,6,5,3,4] => 010110 => [1,1,1,2,1] => 188
[2,7,1,6,5,4,3] => 010111 => [1,1,1,3] => 82
[2,7,3,1,4,5,6] => 011000 => [1,2,3] => 48
[2,7,3,1,4,6,5] => 011001 => [1,2,2,1] => 112
[2,7,3,1,5,4,6] => 011010 => [1,2,1,1,1] => 180
[2,7,3,1,5,6,4] => 011001 => [1,2,2,1] => 112
[2,7,3,1,6,4,5] => 011010 => [1,2,1,1,1] => 180
[2,7,3,1,6,5,4] => 011011 => [1,2,1,2] => 112
[2,7,3,4,1,5,6] => 010100 => [1,1,1,1,2] => 188
[2,7,3,4,1,6,5] => 010101 => [1,1,1,1,1,1] => 296
[2,7,3,4,5,1,6] => 010010 => [1,1,2,1,1] => 184
[2,7,3,4,5,6,1] => 010001 => [1,1,3,1] => 82
[2,7,3,4,6,1,5] => 010010 => [1,1,2,1,1] => 184
[2,7,3,4,6,5,1] => 010011 => [1,1,2,2] => 114
[2,7,3,5,1,4,6] => 010100 => [1,1,1,1,2] => 188
[2,7,3,5,1,6,4] => 010101 => [1,1,1,1,1,1] => 296
[2,7,3,5,4,1,6] => 010110 => [1,1,1,2,1] => 188
[2,7,3,5,4,6,1] => 010101 => [1,1,1,1,1,1] => 296
[2,7,3,5,6,1,4] => 010010 => [1,1,2,1,1] => 184
[2,7,3,5,6,4,1] => 010011 => [1,1,2,2] => 114
[2,7,3,6,1,4,5] => 010100 => [1,1,1,1,2] => 188
[2,7,3,6,1,5,4] => 010101 => [1,1,1,1,1,1] => 296
[2,7,3,6,4,1,5] => 010110 => [1,1,1,2,1] => 188
[2,7,3,6,4,5,1] => 010101 => [1,1,1,1,1,1] => 296
[2,7,3,6,5,1,4] => 010110 => [1,1,1,2,1] => 188
[2,7,3,6,5,4,1] => 010111 => [1,1,1,3] => 82
[2,7,4,1,3,5,6] => 011000 => [1,2,3] => 48
[2,7,4,1,3,6,5] => 011001 => [1,2,2,1] => 112
[2,7,4,1,5,3,6] => 011010 => [1,2,1,1,1] => 180
[2,7,4,1,5,6,3] => 011001 => [1,2,2,1] => 112
[2,7,4,1,6,3,5] => 011010 => [1,2,1,1,1] => 180
[2,7,4,1,6,5,3] => 011011 => [1,2,1,2] => 112
[2,7,4,3,1,5,6] => 011100 => [1,3,2] => 48
[2,7,4,3,1,6,5] => 011101 => [1,3,1,1] => 80
[2,7,4,3,5,1,6] => 011010 => [1,2,1,1,1] => 180
[2,7,4,3,5,6,1] => 011001 => [1,2,2,1] => 112
[2,7,4,3,6,1,5] => 011010 => [1,2,1,1,1] => 180
[2,7,4,3,6,5,1] => 011011 => [1,2,1,2] => 112
[2,7,4,5,1,3,6] => 010100 => [1,1,1,1,2] => 188
[2,7,4,5,1,6,3] => 010101 => [1,1,1,1,1,1] => 296
[2,7,4,5,3,1,6] => 010110 => [1,1,1,2,1] => 188
[2,7,4,5,3,6,1] => 010101 => [1,1,1,1,1,1] => 296
[2,7,4,5,6,1,3] => 010010 => [1,1,2,1,1] => 184
[2,7,4,5,6,3,1] => 010011 => [1,1,2,2] => 114
[2,7,4,6,1,3,5] => 010100 => [1,1,1,1,2] => 188
[2,7,4,6,1,5,3] => 010101 => [1,1,1,1,1,1] => 296
[2,7,4,6,3,1,5] => 010110 => [1,1,1,2,1] => 188
[2,7,4,6,3,5,1] => 010101 => [1,1,1,1,1,1] => 296
[2,7,4,6,5,1,3] => 010110 => [1,1,1,2,1] => 188
[2,7,4,6,5,3,1] => 010111 => [1,1,1,3] => 82
[2,7,5,1,3,4,6] => 011000 => [1,2,3] => 48
[2,7,5,1,3,6,4] => 011001 => [1,2,2,1] => 112
[2,7,5,1,4,3,6] => 011010 => [1,2,1,1,1] => 180
[2,7,5,1,4,6,3] => 011001 => [1,2,2,1] => 112
[2,7,5,1,6,3,4] => 011010 => [1,2,1,1,1] => 180
[2,7,5,1,6,4,3] => 011011 => [1,2,1,2] => 112
[2,7,5,3,1,4,6] => 011100 => [1,3,2] => 48
[2,7,5,3,1,6,4] => 011101 => [1,3,1,1] => 80
[2,7,5,3,4,1,6] => 011010 => [1,2,1,1,1] => 180
[2,7,5,3,4,6,1] => 011001 => [1,2,2,1] => 112
[2,7,5,3,6,1,4] => 011010 => [1,2,1,1,1] => 180
[2,7,5,3,6,4,1] => 011011 => [1,2,1,2] => 112
[2,7,5,4,1,3,6] => 011100 => [1,3,2] => 48
[2,7,5,4,1,6,3] => 011101 => [1,3,1,1] => 80
[2,7,5,4,3,1,6] => 011110 => [1,4,1] => 26
[2,7,5,4,3,6,1] => 011101 => [1,3,1,1] => 80
[2,7,5,4,6,1,3] => 011010 => [1,2,1,1,1] => 180
[2,7,5,4,6,3,1] => 011011 => [1,2,1,2] => 112
[2,7,5,6,1,3,4] => 010100 => [1,1,1,1,2] => 188
[2,7,5,6,1,4,3] => 010101 => [1,1,1,1,1,1] => 296
[2,7,5,6,3,1,4] => 010110 => [1,1,1,2,1] => 188
[2,7,5,6,3,4,1] => 010101 => [1,1,1,1,1,1] => 296
[2,7,5,6,4,1,3] => 010110 => [1,1,1,2,1] => 188
[2,7,5,6,4,3,1] => 010111 => [1,1,1,3] => 82
[2,7,6,1,3,4,5] => 011000 => [1,2,3] => 48
[2,7,6,1,3,5,4] => 011001 => [1,2,2,1] => 112
[2,7,6,1,4,3,5] => 011010 => [1,2,1,1,1] => 180
[2,7,6,1,4,5,3] => 011001 => [1,2,2,1] => 112
[2,7,6,1,5,3,4] => 011010 => [1,2,1,1,1] => 180
[2,7,6,1,5,4,3] => 011011 => [1,2,1,2] => 112
[2,7,6,3,1,4,5] => 011100 => [1,3,2] => 48
[2,7,6,3,1,5,4] => 011101 => [1,3,1,1] => 80
[2,7,6,3,4,1,5] => 011010 => [1,2,1,1,1] => 180
[2,7,6,3,4,5,1] => 011001 => [1,2,2,1] => 112
[2,7,6,3,5,1,4] => 011010 => [1,2,1,1,1] => 180
[2,7,6,3,5,4,1] => 011011 => [1,2,1,2] => 112
[2,7,6,4,1,3,5] => 011100 => [1,3,2] => 48
[2,7,6,4,1,5,3] => 011101 => [1,3,1,1] => 80
[2,7,6,4,3,1,5] => 011110 => [1,4,1] => 26
[2,7,6,4,3,5,1] => 011101 => [1,3,1,1] => 80
[2,7,6,4,5,1,3] => 011010 => [1,2,1,1,1] => 180
[2,7,6,4,5,3,1] => 011011 => [1,2,1,2] => 112
[2,7,6,5,1,3,4] => 011100 => [1,3,2] => 48
[2,7,6,5,1,4,3] => 011101 => [1,3,1,1] => 80
[2,7,6,5,3,1,4] => 011110 => [1,4,1] => 26
[2,7,6,5,3,4,1] => 011101 => [1,3,1,1] => 80
[2,7,6,5,4,1,3] => 011110 => [1,4,1] => 26
[2,7,6,5,4,3,1] => 011111 => [1,5] => 6
[3,1,2,4,5,6,7] => 100000 => [1,5] => 6
[3,1,2,4,5,7,6] => 100001 => [1,4,1] => 26
[3,1,2,4,6,5,7] => 100010 => [1,3,1,1] => 80
[3,1,2,4,6,7,5] => 100001 => [1,4,1] => 26
[3,1,2,4,7,5,6] => 100010 => [1,3,1,1] => 80
[3,1,2,4,7,6,5] => 100011 => [1,3,2] => 48
[3,1,2,5,4,6,7] => 100100 => [1,2,1,2] => 112
[3,1,2,5,4,7,6] => 100101 => [1,2,1,1,1] => 180
[3,1,2,5,6,4,7] => 100010 => [1,3,1,1] => 80
[3,1,2,5,6,7,4] => 100001 => [1,4,1] => 26
[3,1,2,5,7,4,6] => 100010 => [1,3,1,1] => 80
[3,1,2,5,7,6,4] => 100011 => [1,3,2] => 48
[3,1,2,6,4,5,7] => 100100 => [1,2,1,2] => 112
[3,1,2,6,4,7,5] => 100101 => [1,2,1,1,1] => 180
[3,1,2,6,5,4,7] => 100110 => [1,2,2,1] => 112
[3,1,2,6,5,7,4] => 100101 => [1,2,1,1,1] => 180
[3,1,2,6,7,4,5] => 100010 => [1,3,1,1] => 80
[3,1,2,6,7,5,4] => 100011 => [1,3,2] => 48
[3,1,2,7,4,5,6] => 100100 => [1,2,1,2] => 112
[3,1,2,7,4,6,5] => 100101 => [1,2,1,1,1] => 180
[3,1,2,7,5,4,6] => 100110 => [1,2,2,1] => 112
[3,1,2,7,5,6,4] => 100101 => [1,2,1,1,1] => 180
[3,1,2,7,6,4,5] => 100110 => [1,2,2,1] => 112
[3,1,2,7,6,5,4] => 100111 => [1,2,3] => 48
[3,1,4,2,5,6,7] => 101000 => [1,1,1,3] => 82
[3,1,4,2,5,7,6] => 101001 => [1,1,1,2,1] => 188
[3,1,4,2,6,5,7] => 101010 => [1,1,1,1,1,1] => 296
[3,1,4,2,6,7,5] => 101001 => [1,1,1,2,1] => 188
[3,1,4,2,7,5,6] => 101010 => [1,1,1,1,1,1] => 296
[3,1,4,2,7,6,5] => 101011 => [1,1,1,1,2] => 188
[3,1,4,5,2,6,7] => 100100 => [1,2,1,2] => 112
[3,1,4,5,2,7,6] => 100101 => [1,2,1,1,1] => 180
[3,1,4,5,6,2,7] => 100010 => [1,3,1,1] => 80
[3,1,4,5,6,7,2] => 100001 => [1,4,1] => 26
[3,1,4,5,7,2,6] => 100010 => [1,3,1,1] => 80
[3,1,4,5,7,6,2] => 100011 => [1,3,2] => 48
[3,1,4,6,2,5,7] => 100100 => [1,2,1,2] => 112
[3,1,4,6,2,7,5] => 100101 => [1,2,1,1,1] => 180
[3,1,4,6,5,2,7] => 100110 => [1,2,2,1] => 112
[3,1,4,6,5,7,2] => 100101 => [1,2,1,1,1] => 180
[3,1,4,6,7,2,5] => 100010 => [1,3,1,1] => 80
[3,1,4,6,7,5,2] => 100011 => [1,3,2] => 48
[3,1,4,7,2,5,6] => 100100 => [1,2,1,2] => 112
[3,1,4,7,2,6,5] => 100101 => [1,2,1,1,1] => 180
[3,1,4,7,5,2,6] => 100110 => [1,2,2,1] => 112
[3,1,4,7,5,6,2] => 100101 => [1,2,1,1,1] => 180
[3,1,4,7,6,2,5] => 100110 => [1,2,2,1] => 112
[3,1,4,7,6,5,2] => 100111 => [1,2,3] => 48
[3,1,5,2,4,6,7] => 101000 => [1,1,1,3] => 82
[3,1,5,2,4,7,6] => 101001 => [1,1,1,2,1] => 188
[3,1,5,2,6,4,7] => 101010 => [1,1,1,1,1,1] => 296
[3,1,5,2,6,7,4] => 101001 => [1,1,1,2,1] => 188
[3,1,5,2,7,4,6] => 101010 => [1,1,1,1,1,1] => 296
[3,1,5,2,7,6,4] => 101011 => [1,1,1,1,2] => 188
[3,1,5,4,2,6,7] => 101100 => [1,1,2,2] => 114
[3,1,5,4,2,7,6] => 101101 => [1,1,2,1,1] => 184
[3,1,5,4,6,2,7] => 101010 => [1,1,1,1,1,1] => 296
[3,1,5,4,6,7,2] => 101001 => [1,1,1,2,1] => 188
[3,1,5,4,7,2,6] => 101010 => [1,1,1,1,1,1] => 296
[3,1,5,4,7,6,2] => 101011 => [1,1,1,1,2] => 188
[3,1,5,6,2,4,7] => 100100 => [1,2,1,2] => 112
[3,1,5,6,2,7,4] => 100101 => [1,2,1,1,1] => 180
[3,1,5,6,4,2,7] => 100110 => [1,2,2,1] => 112
[3,1,5,6,4,7,2] => 100101 => [1,2,1,1,1] => 180
[3,1,5,6,7,2,4] => 100010 => [1,3,1,1] => 80
[3,1,5,6,7,4,2] => 100011 => [1,3,2] => 48
[3,1,5,7,2,4,6] => 100100 => [1,2,1,2] => 112
[3,1,5,7,2,6,4] => 100101 => [1,2,1,1,1] => 180
[3,1,5,7,4,2,6] => 100110 => [1,2,2,1] => 112
[3,1,5,7,4,6,2] => 100101 => [1,2,1,1,1] => 180
[3,1,5,7,6,2,4] => 100110 => [1,2,2,1] => 112
[3,1,5,7,6,4,2] => 100111 => [1,2,3] => 48
[3,1,6,2,4,5,7] => 101000 => [1,1,1,3] => 82
[3,1,6,2,4,7,5] => 101001 => [1,1,1,2,1] => 188
[3,1,6,2,5,4,7] => 101010 => [1,1,1,1,1,1] => 296
[3,1,6,2,5,7,4] => 101001 => [1,1,1,2,1] => 188
[3,1,6,2,7,4,5] => 101010 => [1,1,1,1,1,1] => 296
[3,1,6,2,7,5,4] => 101011 => [1,1,1,1,2] => 188
[3,1,6,4,2,5,7] => 101100 => [1,1,2,2] => 114
[3,1,6,4,2,7,5] => 101101 => [1,1,2,1,1] => 184
[3,1,6,4,5,2,7] => 101010 => [1,1,1,1,1,1] => 296
[3,1,6,4,5,7,2] => 101001 => [1,1,1,2,1] => 188
[3,1,6,4,7,2,5] => 101010 => [1,1,1,1,1,1] => 296
[3,1,6,4,7,5,2] => 101011 => [1,1,1,1,2] => 188
[3,1,6,5,2,4,7] => 101100 => [1,1,2,2] => 114
[3,1,6,5,2,7,4] => 101101 => [1,1,2,1,1] => 184
[3,1,6,5,4,2,7] => 101110 => [1,1,3,1] => 82
[3,1,6,5,4,7,2] => 101101 => [1,1,2,1,1] => 184
[3,1,6,5,7,2,4] => 101010 => [1,1,1,1,1,1] => 296
[3,1,6,5,7,4,2] => 101011 => [1,1,1,1,2] => 188
[3,1,6,7,2,4,5] => 100100 => [1,2,1,2] => 112
[3,1,6,7,2,5,4] => 100101 => [1,2,1,1,1] => 180
[3,1,6,7,4,2,5] => 100110 => [1,2,2,1] => 112
[3,1,6,7,4,5,2] => 100101 => [1,2,1,1,1] => 180
[3,1,6,7,5,2,4] => 100110 => [1,2,2,1] => 112
[3,1,6,7,5,4,2] => 100111 => [1,2,3] => 48
[3,1,7,2,4,5,6] => 101000 => [1,1,1,3] => 82
[3,1,7,2,4,6,5] => 101001 => [1,1,1,2,1] => 188
[3,1,7,2,5,4,6] => 101010 => [1,1,1,1,1,1] => 296
[3,1,7,2,5,6,4] => 101001 => [1,1,1,2,1] => 188
[3,1,7,2,6,4,5] => 101010 => [1,1,1,1,1,1] => 296
[3,1,7,2,6,5,4] => 101011 => [1,1,1,1,2] => 188
[3,1,7,4,2,5,6] => 101100 => [1,1,2,2] => 114
[3,1,7,4,2,6,5] => 101101 => [1,1,2,1,1] => 184
[3,1,7,4,5,2,6] => 101010 => [1,1,1,1,1,1] => 296
[3,1,7,4,5,6,2] => 101001 => [1,1,1,2,1] => 188
[3,1,7,4,6,2,5] => 101010 => [1,1,1,1,1,1] => 296
[3,1,7,4,6,5,2] => 101011 => [1,1,1,1,2] => 188
[3,1,7,5,2,4,6] => 101100 => [1,1,2,2] => 114
[3,1,7,5,2,6,4] => 101101 => [1,1,2,1,1] => 184
[3,1,7,5,4,2,6] => 101110 => [1,1,3,1] => 82
[3,1,7,5,4,6,2] => 101101 => [1,1,2,1,1] => 184
[3,1,7,5,6,2,4] => 101010 => [1,1,1,1,1,1] => 296
[3,1,7,5,6,4,2] => 101011 => [1,1,1,1,2] => 188
[3,1,7,6,2,4,5] => 101100 => [1,1,2,2] => 114
[3,1,7,6,2,5,4] => 101101 => [1,1,2,1,1] => 184
[3,1,7,6,4,2,5] => 101110 => [1,1,3,1] => 82
[3,1,7,6,4,5,2] => 101101 => [1,1,2,1,1] => 184
[3,1,7,6,5,2,4] => 101110 => [1,1,3,1] => 82
[3,1,7,6,5,4,2] => 101111 => [1,1,4] => 26
[3,2,1,4,5,6,7] => 110000 => [2,4] => 15
[3,2,1,4,5,7,6] => 110001 => [2,3,1] => 48
[3,2,1,4,6,5,7] => 110010 => [2,2,1,1] => 110
[3,2,1,4,6,7,5] => 110001 => [2,3,1] => 48
[3,2,1,4,7,5,6] => 110010 => [2,2,1,1] => 110
[3,2,1,4,7,6,5] => 110011 => [2,2,2] => 67
[3,2,1,5,4,6,7] => 110100 => [2,1,1,2] => 112
[3,2,1,5,4,7,6] => 110101 => [2,1,1,1,1] => 180
[3,2,1,5,6,4,7] => 110010 => [2,2,1,1] => 110
[3,2,1,5,6,7,4] => 110001 => [2,3,1] => 48
[3,2,1,5,7,4,6] => 110010 => [2,2,1,1] => 110
[3,2,1,5,7,6,4] => 110011 => [2,2,2] => 67
[3,2,1,6,4,5,7] => 110100 => [2,1,1,2] => 112
[3,2,1,6,4,7,5] => 110101 => [2,1,1,1,1] => 180
[3,2,1,6,5,4,7] => 110110 => [2,1,2,1] => 112
[3,2,1,6,5,7,4] => 110101 => [2,1,1,1,1] => 180
[3,2,1,6,7,4,5] => 110010 => [2,2,1,1] => 110
[3,2,1,6,7,5,4] => 110011 => [2,2,2] => 67
[3,2,1,7,4,5,6] => 110100 => [2,1,1,2] => 112
[3,2,1,7,4,6,5] => 110101 => [2,1,1,1,1] => 180
[3,2,1,7,5,4,6] => 110110 => [2,1,2,1] => 112
[3,2,1,7,5,6,4] => 110101 => [2,1,1,1,1] => 180
[3,2,1,7,6,4,5] => 110110 => [2,1,2,1] => 112
[3,2,1,7,6,5,4] => 110111 => [2,1,3] => 48
[3,2,4,1,5,6,7] => 101000 => [1,1,1,3] => 82
[3,2,4,1,5,7,6] => 101001 => [1,1,1,2,1] => 188
[3,2,4,1,6,5,7] => 101010 => [1,1,1,1,1,1] => 296
[3,2,4,1,6,7,5] => 101001 => [1,1,1,2,1] => 188
[3,2,4,1,7,5,6] => 101010 => [1,1,1,1,1,1] => 296
[3,2,4,1,7,6,5] => 101011 => [1,1,1,1,2] => 188
[3,2,4,5,1,6,7] => 100100 => [1,2,1,2] => 112
[3,2,4,5,1,7,6] => 100101 => [1,2,1,1,1] => 180
[3,2,4,5,6,1,7] => 100010 => [1,3,1,1] => 80
[3,2,4,5,6,7,1] => 100001 => [1,4,1] => 26
[3,2,4,5,7,1,6] => 100010 => [1,3,1,1] => 80
[3,2,4,5,7,6,1] => 100011 => [1,3,2] => 48
[3,2,4,6,1,5,7] => 100100 => [1,2,1,2] => 112
[3,2,4,6,1,7,5] => 100101 => [1,2,1,1,1] => 180
[3,2,4,6,5,1,7] => 100110 => [1,2,2,1] => 112
[3,2,4,6,5,7,1] => 100101 => [1,2,1,1,1] => 180
[3,2,4,6,7,1,5] => 100010 => [1,3,1,1] => 80
[3,2,4,6,7,5,1] => 100011 => [1,3,2] => 48
[3,2,4,7,1,5,6] => 100100 => [1,2,1,2] => 112
[3,2,4,7,1,6,5] => 100101 => [1,2,1,1,1] => 180
[3,2,4,7,5,1,6] => 100110 => [1,2,2,1] => 112
[3,2,4,7,5,6,1] => 100101 => [1,2,1,1,1] => 180
[3,2,4,7,6,1,5] => 100110 => [1,2,2,1] => 112
[3,2,4,7,6,5,1] => 100111 => [1,2,3] => 48
[3,2,5,1,4,6,7] => 101000 => [1,1,1,3] => 82
[3,2,5,1,4,7,6] => 101001 => [1,1,1,2,1] => 188
[3,2,5,1,6,4,7] => 101010 => [1,1,1,1,1,1] => 296
[3,2,5,1,6,7,4] => 101001 => [1,1,1,2,1] => 188
[3,2,5,1,7,4,6] => 101010 => [1,1,1,1,1,1] => 296
[3,2,5,1,7,6,4] => 101011 => [1,1,1,1,2] => 188
[3,2,5,4,1,6,7] => 101100 => [1,1,2,2] => 114
[3,2,5,4,1,7,6] => 101101 => [1,1,2,1,1] => 184
[3,2,5,4,6,1,7] => 101010 => [1,1,1,1,1,1] => 296
[3,2,5,4,6,7,1] => 101001 => [1,1,1,2,1] => 188
[3,2,5,4,7,1,6] => 101010 => [1,1,1,1,1,1] => 296
[3,2,5,4,7,6,1] => 101011 => [1,1,1,1,2] => 188
[3,2,5,6,1,4,7] => 100100 => [1,2,1,2] => 112
[3,2,5,6,1,7,4] => 100101 => [1,2,1,1,1] => 180
[3,2,5,6,4,1,7] => 100110 => [1,2,2,1] => 112
[3,2,5,6,4,7,1] => 100101 => [1,2,1,1,1] => 180
[3,2,5,6,7,1,4] => 100010 => [1,3,1,1] => 80
[3,2,5,6,7,4,1] => 100011 => [1,3,2] => 48
[3,2,5,7,1,4,6] => 100100 => [1,2,1,2] => 112
[3,2,5,7,1,6,4] => 100101 => [1,2,1,1,1] => 180
[3,2,5,7,4,1,6] => 100110 => [1,2,2,1] => 112
[3,2,5,7,4,6,1] => 100101 => [1,2,1,1,1] => 180
[3,2,5,7,6,1,4] => 100110 => [1,2,2,1] => 112
[3,2,5,7,6,4,1] => 100111 => [1,2,3] => 48
[3,2,6,1,4,5,7] => 101000 => [1,1,1,3] => 82
[3,2,6,1,4,7,5] => 101001 => [1,1,1,2,1] => 188
[3,2,6,1,5,4,7] => 101010 => [1,1,1,1,1,1] => 296
[3,2,6,1,5,7,4] => 101001 => [1,1,1,2,1] => 188
[3,2,6,1,7,4,5] => 101010 => [1,1,1,1,1,1] => 296
[3,2,6,1,7,5,4] => 101011 => [1,1,1,1,2] => 188
[3,2,6,4,1,5,7] => 101100 => [1,1,2,2] => 114
[3,2,6,4,1,7,5] => 101101 => [1,1,2,1,1] => 184
[3,2,6,4,5,1,7] => 101010 => [1,1,1,1,1,1] => 296
[3,2,6,4,5,7,1] => 101001 => [1,1,1,2,1] => 188
[3,2,6,4,7,1,5] => 101010 => [1,1,1,1,1,1] => 296
[3,2,6,4,7,5,1] => 101011 => [1,1,1,1,2] => 188
[3,2,6,5,1,4,7] => 101100 => [1,1,2,2] => 114
[3,2,6,5,1,7,4] => 101101 => [1,1,2,1,1] => 184
[3,2,6,5,4,1,7] => 101110 => [1,1,3,1] => 82
[3,2,6,5,4,7,1] => 101101 => [1,1,2,1,1] => 184
[3,2,6,5,7,1,4] => 101010 => [1,1,1,1,1,1] => 296
[3,2,6,5,7,4,1] => 101011 => [1,1,1,1,2] => 188
[3,2,6,7,1,4,5] => 100100 => [1,2,1,2] => 112
[3,2,6,7,1,5,4] => 100101 => [1,2,1,1,1] => 180
[3,2,6,7,4,1,5] => 100110 => [1,2,2,1] => 112
[3,2,6,7,4,5,1] => 100101 => [1,2,1,1,1] => 180
[3,2,6,7,5,1,4] => 100110 => [1,2,2,1] => 112
[3,2,6,7,5,4,1] => 100111 => [1,2,3] => 48
[3,2,7,1,4,5,6] => 101000 => [1,1,1,3] => 82
[3,2,7,1,4,6,5] => 101001 => [1,1,1,2,1] => 188
[3,2,7,1,5,4,6] => 101010 => [1,1,1,1,1,1] => 296
[3,2,7,1,5,6,4] => 101001 => [1,1,1,2,1] => 188
[3,2,7,1,6,4,5] => 101010 => [1,1,1,1,1,1] => 296
[3,2,7,1,6,5,4] => 101011 => [1,1,1,1,2] => 188
[3,2,7,4,1,5,6] => 101100 => [1,1,2,2] => 114
[3,2,7,4,1,6,5] => 101101 => [1,1,2,1,1] => 184
[3,2,7,4,5,1,6] => 101010 => [1,1,1,1,1,1] => 296
[3,2,7,4,5,6,1] => 101001 => [1,1,1,2,1] => 188
[3,2,7,4,6,1,5] => 101010 => [1,1,1,1,1,1] => 296
[3,2,7,4,6,5,1] => 101011 => [1,1,1,1,2] => 188
[3,2,7,5,1,4,6] => 101100 => [1,1,2,2] => 114
[3,2,7,5,1,6,4] => 101101 => [1,1,2,1,1] => 184
[3,2,7,5,4,1,6] => 101110 => [1,1,3,1] => 82
[3,2,7,5,4,6,1] => 101101 => [1,1,2,1,1] => 184
[3,2,7,5,6,1,4] => 101010 => [1,1,1,1,1,1] => 296
[3,2,7,5,6,4,1] => 101011 => [1,1,1,1,2] => 188
[3,2,7,6,1,4,5] => 101100 => [1,1,2,2] => 114
[3,2,7,6,1,5,4] => 101101 => [1,1,2,1,1] => 184
[3,2,7,6,4,1,5] => 101110 => [1,1,3,1] => 82
[3,2,7,6,4,5,1] => 101101 => [1,1,2,1,1] => 184
[3,2,7,6,5,1,4] => 101110 => [1,1,3,1] => 82
[3,2,7,6,5,4,1] => 101111 => [1,1,4] => 26
[3,4,1,2,5,6,7] => 010000 => [1,1,4] => 26
[3,4,1,2,5,7,6] => 010001 => [1,1,3,1] => 82
[3,4,1,2,6,5,7] => 010010 => [1,1,2,1,1] => 184
[3,4,1,2,6,7,5] => 010001 => [1,1,3,1] => 82
[3,4,1,2,7,5,6] => 010010 => [1,1,2,1,1] => 184
[3,4,1,2,7,6,5] => 010011 => [1,1,2,2] => 114
[3,4,1,5,2,6,7] => 010100 => [1,1,1,1,2] => 188
[3,4,1,5,2,7,6] => 010101 => [1,1,1,1,1,1] => 296
[3,4,1,5,6,2,7] => 010010 => [1,1,2,1,1] => 184
[3,4,1,5,6,7,2] => 010001 => [1,1,3,1] => 82
[3,4,1,5,7,2,6] => 010010 => [1,1,2,1,1] => 184
[3,4,1,5,7,6,2] => 010011 => [1,1,2,2] => 114
[3,4,1,6,2,5,7] => 010100 => [1,1,1,1,2] => 188
[3,4,1,6,2,7,5] => 010101 => [1,1,1,1,1,1] => 296
[3,4,1,6,5,2,7] => 010110 => [1,1,1,2,1] => 188
[3,4,1,6,5,7,2] => 010101 => [1,1,1,1,1,1] => 296
[3,4,1,6,7,2,5] => 010010 => [1,1,2,1,1] => 184
[3,4,1,6,7,5,2] => 010011 => [1,1,2,2] => 114
[3,4,1,7,2,5,6] => 010100 => [1,1,1,1,2] => 188
[3,4,1,7,2,6,5] => 010101 => [1,1,1,1,1,1] => 296
[3,4,1,7,5,2,6] => 010110 => [1,1,1,2,1] => 188
[3,4,1,7,5,6,2] => 010101 => [1,1,1,1,1,1] => 296
[3,4,1,7,6,2,5] => 010110 => [1,1,1,2,1] => 188
[3,4,1,7,6,5,2] => 010111 => [1,1,1,3] => 82
[3,4,2,1,5,6,7] => 011000 => [1,2,3] => 48
[3,4,2,1,5,7,6] => 011001 => [1,2,2,1] => 112
[3,4,2,1,6,5,7] => 011010 => [1,2,1,1,1] => 180
[3,4,2,1,6,7,5] => 011001 => [1,2,2,1] => 112
[3,4,2,1,7,5,6] => 011010 => [1,2,1,1,1] => 180
[3,4,2,1,7,6,5] => 011011 => [1,2,1,2] => 112
[3,4,2,5,1,6,7] => 010100 => [1,1,1,1,2] => 188
[3,4,2,5,1,7,6] => 010101 => [1,1,1,1,1,1] => 296
[3,4,2,5,6,1,7] => 010010 => [1,1,2,1,1] => 184
[3,4,2,5,6,7,1] => 010001 => [1,1,3,1] => 82
[3,4,2,5,7,1,6] => 010010 => [1,1,2,1,1] => 184
[3,4,2,5,7,6,1] => 010011 => [1,1,2,2] => 114
[3,4,2,6,1,5,7] => 010100 => [1,1,1,1,2] => 188
[3,4,2,6,1,7,5] => 010101 => [1,1,1,1,1,1] => 296
[3,4,2,6,5,1,7] => 010110 => [1,1,1,2,1] => 188
[3,4,2,6,5,7,1] => 010101 => [1,1,1,1,1,1] => 296
[3,4,2,6,7,1,5] => 010010 => [1,1,2,1,1] => 184
[3,4,2,6,7,5,1] => 010011 => [1,1,2,2] => 114
[3,4,2,7,1,5,6] => 010100 => [1,1,1,1,2] => 188
[3,4,2,7,1,6,5] => 010101 => [1,1,1,1,1,1] => 296
[3,4,2,7,5,1,6] => 010110 => [1,1,1,2,1] => 188
[3,4,2,7,5,6,1] => 010101 => [1,1,1,1,1,1] => 296
[3,4,2,7,6,1,5] => 010110 => [1,1,1,2,1] => 188
[3,4,2,7,6,5,1] => 010111 => [1,1,1,3] => 82
[3,4,5,1,2,6,7] => 001000 => [2,1,3] => 48
[3,4,5,1,2,7,6] => 001001 => [2,1,2,1] => 112
[3,4,5,1,6,2,7] => 001010 => [2,1,1,1,1] => 180
[3,4,5,1,6,7,2] => 001001 => [2,1,2,1] => 112
[3,4,5,1,7,2,6] => 001010 => [2,1,1,1,1] => 180
[3,4,5,1,7,6,2] => 001011 => [2,1,1,2] => 112
[3,4,5,2,1,6,7] => 001100 => [2,2,2] => 67
[3,4,5,2,1,7,6] => 001101 => [2,2,1,1] => 110
[3,4,5,2,6,1,7] => 001010 => [2,1,1,1,1] => 180
[3,4,5,2,6,7,1] => 001001 => [2,1,2,1] => 112
[3,4,5,2,7,1,6] => 001010 => [2,1,1,1,1] => 180
[3,4,5,2,7,6,1] => 001011 => [2,1,1,2] => 112
[3,4,5,6,1,2,7] => 000100 => [3,1,2] => 48
[3,4,5,6,1,7,2] => 000101 => [3,1,1,1] => 80
[3,4,5,6,2,1,7] => 000110 => [3,2,1] => 48
[3,4,5,6,2,7,1] => 000101 => [3,1,1,1] => 80
[3,4,5,6,7,1,2] => 000010 => [4,1,1] => 26
[3,4,5,6,7,2,1] => 000011 => [4,2] => 15
[3,4,5,7,1,2,6] => 000100 => [3,1,2] => 48
[3,4,5,7,1,6,2] => 000101 => [3,1,1,1] => 80
[3,4,5,7,2,1,6] => 000110 => [3,2,1] => 48
[3,4,5,7,2,6,1] => 000101 => [3,1,1,1] => 80
[3,4,5,7,6,1,2] => 000110 => [3,2,1] => 48
[3,4,5,7,6,2,1] => 000111 => [3,3] => 20
[3,4,6,1,2,5,7] => 001000 => [2,1,3] => 48
[3,4,6,1,2,7,5] => 001001 => [2,1,2,1] => 112
[3,4,6,1,5,2,7] => 001010 => [2,1,1,1,1] => 180
[3,4,6,1,5,7,2] => 001001 => [2,1,2,1] => 112
[3,4,6,1,7,2,5] => 001010 => [2,1,1,1,1] => 180
[3,4,6,1,7,5,2] => 001011 => [2,1,1,2] => 112
[3,4,6,2,1,5,7] => 001100 => [2,2,2] => 67
[3,4,6,2,1,7,5] => 001101 => [2,2,1,1] => 110
[3,4,6,2,5,1,7] => 001010 => [2,1,1,1,1] => 180
[3,4,6,2,5,7,1] => 001001 => [2,1,2,1] => 112
[3,4,6,2,7,1,5] => 001010 => [2,1,1,1,1] => 180
[3,4,6,2,7,5,1] => 001011 => [2,1,1,2] => 112
[3,4,6,5,1,2,7] => 001100 => [2,2,2] => 67
[3,4,6,5,1,7,2] => 001101 => [2,2,1,1] => 110
[3,4,6,5,2,1,7] => 001110 => [2,3,1] => 48
[3,4,6,5,2,7,1] => 001101 => [2,2,1,1] => 110
[3,4,6,5,7,1,2] => 001010 => [2,1,1,1,1] => 180
[3,4,6,5,7,2,1] => 001011 => [2,1,1,2] => 112
[3,4,6,7,1,2,5] => 000100 => [3,1,2] => 48
[3,4,6,7,1,5,2] => 000101 => [3,1,1,1] => 80
[3,4,6,7,2,1,5] => 000110 => [3,2,1] => 48
[3,4,6,7,2,5,1] => 000101 => [3,1,1,1] => 80
[3,4,6,7,5,1,2] => 000110 => [3,2,1] => 48
[3,4,6,7,5,2,1] => 000111 => [3,3] => 20
[3,4,7,1,2,5,6] => 001000 => [2,1,3] => 48
[3,4,7,1,2,6,5] => 001001 => [2,1,2,1] => 112
[3,4,7,1,5,2,6] => 001010 => [2,1,1,1,1] => 180
[3,4,7,1,5,6,2] => 001001 => [2,1,2,1] => 112
[3,4,7,1,6,2,5] => 001010 => [2,1,1,1,1] => 180
[3,4,7,1,6,5,2] => 001011 => [2,1,1,2] => 112
[3,4,7,2,1,5,6] => 001100 => [2,2,2] => 67
[3,4,7,2,1,6,5] => 001101 => [2,2,1,1] => 110
[3,4,7,2,5,1,6] => 001010 => [2,1,1,1,1] => 180
[3,4,7,2,5,6,1] => 001001 => [2,1,2,1] => 112
[3,4,7,2,6,1,5] => 001010 => [2,1,1,1,1] => 180
[3,4,7,2,6,5,1] => 001011 => [2,1,1,2] => 112
[3,4,7,5,1,2,6] => 001100 => [2,2,2] => 67
[3,4,7,5,1,6,2] => 001101 => [2,2,1,1] => 110
[3,4,7,5,2,1,6] => 001110 => [2,3,1] => 48
[3,4,7,5,2,6,1] => 001101 => [2,2,1,1] => 110
[3,4,7,5,6,1,2] => 001010 => [2,1,1,1,1] => 180
[3,4,7,5,6,2,1] => 001011 => [2,1,1,2] => 112
[3,4,7,6,1,2,5] => 001100 => [2,2,2] => 67
[3,4,7,6,1,5,2] => 001101 => [2,2,1,1] => 110
[3,4,7,6,2,1,5] => 001110 => [2,3,1] => 48
[3,4,7,6,2,5,1] => 001101 => [2,2,1,1] => 110
[3,4,7,6,5,1,2] => 001110 => [2,3,1] => 48
[3,4,7,6,5,2,1] => 001111 => [2,4] => 15
[3,5,1,2,4,6,7] => 010000 => [1,1,4] => 26
[3,5,1,2,4,7,6] => 010001 => [1,1,3,1] => 82
[3,5,1,2,6,4,7] => 010010 => [1,1,2,1,1] => 184
[3,5,1,2,6,7,4] => 010001 => [1,1,3,1] => 82
[3,5,1,2,7,4,6] => 010010 => [1,1,2,1,1] => 184
[3,5,1,2,7,6,4] => 010011 => [1,1,2,2] => 114
[3,5,1,4,2,6,7] => 010100 => [1,1,1,1,2] => 188
[3,5,1,4,2,7,6] => 010101 => [1,1,1,1,1,1] => 296
[3,5,1,4,6,2,7] => 010010 => [1,1,2,1,1] => 184
[3,5,1,4,6,7,2] => 010001 => [1,1,3,1] => 82
[3,5,1,4,7,2,6] => 010010 => [1,1,2,1,1] => 184
[3,5,1,4,7,6,2] => 010011 => [1,1,2,2] => 114
[3,5,1,6,2,4,7] => 010100 => [1,1,1,1,2] => 188
[3,5,1,6,2,7,4] => 010101 => [1,1,1,1,1,1] => 296
[3,5,1,6,4,2,7] => 010110 => [1,1,1,2,1] => 188
[3,5,1,6,4,7,2] => 010101 => [1,1,1,1,1,1] => 296
[3,5,1,6,7,2,4] => 010010 => [1,1,2,1,1] => 184
[3,5,1,6,7,4,2] => 010011 => [1,1,2,2] => 114
[3,5,1,7,2,4,6] => 010100 => [1,1,1,1,2] => 188
[3,5,1,7,2,6,4] => 010101 => [1,1,1,1,1,1] => 296
[3,5,1,7,4,2,6] => 010110 => [1,1,1,2,1] => 188
[3,5,1,7,4,6,2] => 010101 => [1,1,1,1,1,1] => 296
[3,5,1,7,6,2,4] => 010110 => [1,1,1,2,1] => 188
[3,5,1,7,6,4,2] => 010111 => [1,1,1,3] => 82
[3,5,2,1,4,6,7] => 011000 => [1,2,3] => 48
[3,5,2,1,4,7,6] => 011001 => [1,2,2,1] => 112
[3,5,2,1,6,4,7] => 011010 => [1,2,1,1,1] => 180
[3,5,2,1,6,7,4] => 011001 => [1,2,2,1] => 112
[3,5,2,1,7,4,6] => 011010 => [1,2,1,1,1] => 180
[3,5,2,1,7,6,4] => 011011 => [1,2,1,2] => 112
[3,5,2,4,1,6,7] => 010100 => [1,1,1,1,2] => 188
[3,5,2,4,1,7,6] => 010101 => [1,1,1,1,1,1] => 296
[3,5,2,4,6,1,7] => 010010 => [1,1,2,1,1] => 184
[3,5,2,4,6,7,1] => 010001 => [1,1,3,1] => 82
[3,5,2,4,7,1,6] => 010010 => [1,1,2,1,1] => 184
[3,5,2,4,7,6,1] => 010011 => [1,1,2,2] => 114
[3,5,2,6,1,4,7] => 010100 => [1,1,1,1,2] => 188
[3,5,2,6,1,7,4] => 010101 => [1,1,1,1,1,1] => 296
[3,5,2,6,4,1,7] => 010110 => [1,1,1,2,1] => 188
[3,5,2,6,4,7,1] => 010101 => [1,1,1,1,1,1] => 296
[3,5,2,6,7,1,4] => 010010 => [1,1,2,1,1] => 184
[3,5,2,6,7,4,1] => 010011 => [1,1,2,2] => 114
[3,5,2,7,1,4,6] => 010100 => [1,1,1,1,2] => 188
[3,5,2,7,1,6,4] => 010101 => [1,1,1,1,1,1] => 296
[3,5,2,7,4,1,6] => 010110 => [1,1,1,2,1] => 188
[3,5,2,7,4,6,1] => 010101 => [1,1,1,1,1,1] => 296
[3,5,2,7,6,1,4] => 010110 => [1,1,1,2,1] => 188
[3,5,2,7,6,4,1] => 010111 => [1,1,1,3] => 82
[3,5,4,1,2,6,7] => 011000 => [1,2,3] => 48
[3,5,4,1,2,7,6] => 011001 => [1,2,2,1] => 112
[3,5,4,1,6,2,7] => 011010 => [1,2,1,1,1] => 180
[3,5,4,1,6,7,2] => 011001 => [1,2,2,1] => 112
[3,5,4,1,7,2,6] => 011010 => [1,2,1,1,1] => 180
[3,5,4,1,7,6,2] => 011011 => [1,2,1,2] => 112
[3,5,4,2,1,6,7] => 011100 => [1,3,2] => 48
[3,5,4,2,1,7,6] => 011101 => [1,3,1,1] => 80
[3,5,4,2,6,1,7] => 011010 => [1,2,1,1,1] => 180
[3,5,4,2,6,7,1] => 011001 => [1,2,2,1] => 112
[3,5,4,2,7,1,6] => 011010 => [1,2,1,1,1] => 180
[3,5,4,2,7,6,1] => 011011 => [1,2,1,2] => 112
[3,5,4,6,1,2,7] => 010100 => [1,1,1,1,2] => 188
[3,5,4,6,1,7,2] => 010101 => [1,1,1,1,1,1] => 296
[3,5,4,6,2,1,7] => 010110 => [1,1,1,2,1] => 188
[3,5,4,6,2,7,1] => 010101 => [1,1,1,1,1,1] => 296
[3,5,4,6,7,1,2] => 010010 => [1,1,2,1,1] => 184
[3,5,4,6,7,2,1] => 010011 => [1,1,2,2] => 114
[3,5,4,7,1,2,6] => 010100 => [1,1,1,1,2] => 188
[3,5,4,7,1,6,2] => 010101 => [1,1,1,1,1,1] => 296
[3,5,4,7,2,1,6] => 010110 => [1,1,1,2,1] => 188
[3,5,4,7,2,6,1] => 010101 => [1,1,1,1,1,1] => 296
[3,5,4,7,6,1,2] => 010110 => [1,1,1,2,1] => 188
[3,5,4,7,6,2,1] => 010111 => [1,1,1,3] => 82
[3,5,6,1,2,4,7] => 001000 => [2,1,3] => 48
[3,5,6,1,2,7,4] => 001001 => [2,1,2,1] => 112
[3,5,6,1,4,2,7] => 001010 => [2,1,1,1,1] => 180
[3,5,6,1,4,7,2] => 001001 => [2,1,2,1] => 112
[3,5,6,1,7,2,4] => 001010 => [2,1,1,1,1] => 180
[3,5,6,1,7,4,2] => 001011 => [2,1,1,2] => 112
[3,5,6,2,1,4,7] => 001100 => [2,2,2] => 67
[3,5,6,2,1,7,4] => 001101 => [2,2,1,1] => 110
[3,5,6,2,4,1,7] => 001010 => [2,1,1,1,1] => 180
[3,5,6,2,4,7,1] => 001001 => [2,1,2,1] => 112
[3,5,6,2,7,1,4] => 001010 => [2,1,1,1,1] => 180
[3,5,6,2,7,4,1] => 001011 => [2,1,1,2] => 112
[3,5,6,4,1,2,7] => 001100 => [2,2,2] => 67
[3,5,6,4,1,7,2] => 001101 => [2,2,1,1] => 110
[3,5,6,4,2,1,7] => 001110 => [2,3,1] => 48
[3,5,6,4,2,7,1] => 001101 => [2,2,1,1] => 110
[3,5,6,4,7,1,2] => 001010 => [2,1,1,1,1] => 180
[3,5,6,4,7,2,1] => 001011 => [2,1,1,2] => 112
[3,5,6,7,1,2,4] => 000100 => [3,1,2] => 48
[3,5,6,7,1,4,2] => 000101 => [3,1,1,1] => 80
[3,5,6,7,2,1,4] => 000110 => [3,2,1] => 48
[3,5,6,7,2,4,1] => 000101 => [3,1,1,1] => 80
[3,5,6,7,4,1,2] => 000110 => [3,2,1] => 48
[3,5,6,7,4,2,1] => 000111 => [3,3] => 20
[3,5,7,1,2,4,6] => 001000 => [2,1,3] => 48
[3,5,7,1,2,6,4] => 001001 => [2,1,2,1] => 112
[3,5,7,1,4,2,6] => 001010 => [2,1,1,1,1] => 180
[3,5,7,1,4,6,2] => 001001 => [2,1,2,1] => 112
[3,5,7,1,6,2,4] => 001010 => [2,1,1,1,1] => 180
[3,5,7,1,6,4,2] => 001011 => [2,1,1,2] => 112
[3,5,7,2,1,4,6] => 001100 => [2,2,2] => 67
[3,5,7,2,1,6,4] => 001101 => [2,2,1,1] => 110
[3,5,7,2,4,1,6] => 001010 => [2,1,1,1,1] => 180
[3,5,7,2,4,6,1] => 001001 => [2,1,2,1] => 112
[3,5,7,2,6,1,4] => 001010 => [2,1,1,1,1] => 180
[3,5,7,2,6,4,1] => 001011 => [2,1,1,2] => 112
[3,5,7,4,1,2,6] => 001100 => [2,2,2] => 67
[3,5,7,4,1,6,2] => 001101 => [2,2,1,1] => 110
[3,5,7,4,2,1,6] => 001110 => [2,3,1] => 48
[3,5,7,4,2,6,1] => 001101 => [2,2,1,1] => 110
[3,5,7,4,6,1,2] => 001010 => [2,1,1,1,1] => 180
[3,5,7,4,6,2,1] => 001011 => [2,1,1,2] => 112
[3,5,7,6,1,2,4] => 001100 => [2,2,2] => 67
[3,5,7,6,1,4,2] => 001101 => [2,2,1,1] => 110
[3,5,7,6,2,1,4] => 001110 => [2,3,1] => 48
[3,5,7,6,2,4,1] => 001101 => [2,2,1,1] => 110
[3,5,7,6,4,1,2] => 001110 => [2,3,1] => 48
[3,5,7,6,4,2,1] => 001111 => [2,4] => 15
[3,6,1,2,4,5,7] => 010000 => [1,1,4] => 26
[3,6,1,2,4,7,5] => 010001 => [1,1,3,1] => 82
[3,6,1,2,5,4,7] => 010010 => [1,1,2,1,1] => 184
[3,6,1,2,5,7,4] => 010001 => [1,1,3,1] => 82
[3,6,1,2,7,4,5] => 010010 => [1,1,2,1,1] => 184
[3,6,1,2,7,5,4] => 010011 => [1,1,2,2] => 114
[3,6,1,4,2,5,7] => 010100 => [1,1,1,1,2] => 188
[3,6,1,4,2,7,5] => 010101 => [1,1,1,1,1,1] => 296
[3,6,1,4,5,2,7] => 010010 => [1,1,2,1,1] => 184
[3,6,1,4,5,7,2] => 010001 => [1,1,3,1] => 82
[3,6,1,4,7,2,5] => 010010 => [1,1,2,1,1] => 184
[3,6,1,4,7,5,2] => 010011 => [1,1,2,2] => 114
[3,6,1,5,2,4,7] => 010100 => [1,1,1,1,2] => 188
[3,6,1,5,2,7,4] => 010101 => [1,1,1,1,1,1] => 296
[3,6,1,5,4,2,7] => 010110 => [1,1,1,2,1] => 188
[3,6,1,5,4,7,2] => 010101 => [1,1,1,1,1,1] => 296
[3,6,1,5,7,2,4] => 010010 => [1,1,2,1,1] => 184
[3,6,1,5,7,4,2] => 010011 => [1,1,2,2] => 114
[3,6,1,7,2,4,5] => 010100 => [1,1,1,1,2] => 188
[3,6,1,7,2,5,4] => 010101 => [1,1,1,1,1,1] => 296
[3,6,1,7,4,2,5] => 010110 => [1,1,1,2,1] => 188
[3,6,1,7,4,5,2] => 010101 => [1,1,1,1,1,1] => 296
[3,6,1,7,5,2,4] => 010110 => [1,1,1,2,1] => 188
[3,6,1,7,5,4,2] => 010111 => [1,1,1,3] => 82
[3,6,2,1,4,5,7] => 011000 => [1,2,3] => 48
[3,6,2,1,4,7,5] => 011001 => [1,2,2,1] => 112
[3,6,2,1,5,4,7] => 011010 => [1,2,1,1,1] => 180
[3,6,2,1,5,7,4] => 011001 => [1,2,2,1] => 112
[3,6,2,1,7,4,5] => 011010 => [1,2,1,1,1] => 180
[3,6,2,1,7,5,4] => 011011 => [1,2,1,2] => 112
[3,6,2,4,1,5,7] => 010100 => [1,1,1,1,2] => 188
[3,6,2,4,1,7,5] => 010101 => [1,1,1,1,1,1] => 296
[3,6,2,4,5,1,7] => 010010 => [1,1,2,1,1] => 184
[3,6,2,4,5,7,1] => 010001 => [1,1,3,1] => 82
[3,6,2,4,7,1,5] => 010010 => [1,1,2,1,1] => 184
[3,6,2,4,7,5,1] => 010011 => [1,1,2,2] => 114
[3,6,2,5,1,4,7] => 010100 => [1,1,1,1,2] => 188
[3,6,2,5,1,7,4] => 010101 => [1,1,1,1,1,1] => 296
[3,6,2,5,4,1,7] => 010110 => [1,1,1,2,1] => 188
[3,6,2,5,4,7,1] => 010101 => [1,1,1,1,1,1] => 296
[3,6,2,5,7,1,4] => 010010 => [1,1,2,1,1] => 184
[3,6,2,5,7,4,1] => 010011 => [1,1,2,2] => 114
[3,6,2,7,1,4,5] => 010100 => [1,1,1,1,2] => 188
[3,6,2,7,1,5,4] => 010101 => [1,1,1,1,1,1] => 296
[3,6,2,7,4,1,5] => 010110 => [1,1,1,2,1] => 188
[3,6,2,7,4,5,1] => 010101 => [1,1,1,1,1,1] => 296
[3,6,2,7,5,1,4] => 010110 => [1,1,1,2,1] => 188
[3,6,2,7,5,4,1] => 010111 => [1,1,1,3] => 82
[3,6,4,1,2,5,7] => 011000 => [1,2,3] => 48
[3,6,4,1,2,7,5] => 011001 => [1,2,2,1] => 112
[3,6,4,1,5,2,7] => 011010 => [1,2,1,1,1] => 180
[3,6,4,1,5,7,2] => 011001 => [1,2,2,1] => 112
[3,6,4,1,7,2,5] => 011010 => [1,2,1,1,1] => 180
[3,6,4,1,7,5,2] => 011011 => [1,2,1,2] => 112
[3,6,4,2,1,5,7] => 011100 => [1,3,2] => 48
[3,6,4,2,1,7,5] => 011101 => [1,3,1,1] => 80
[3,6,4,2,5,1,7] => 011010 => [1,2,1,1,1] => 180
[3,6,4,2,5,7,1] => 011001 => [1,2,2,1] => 112
[3,6,4,2,7,1,5] => 011010 => [1,2,1,1,1] => 180
[3,6,4,2,7,5,1] => 011011 => [1,2,1,2] => 112
[3,6,4,5,1,2,7] => 010100 => [1,1,1,1,2] => 188
[3,6,4,5,1,7,2] => 010101 => [1,1,1,1,1,1] => 296
[3,6,4,5,2,1,7] => 010110 => [1,1,1,2,1] => 188
[3,6,4,5,2,7,1] => 010101 => [1,1,1,1,1,1] => 296
[3,6,4,5,7,1,2] => 010010 => [1,1,2,1,1] => 184
[3,6,4,5,7,2,1] => 010011 => [1,1,2,2] => 114
[3,6,4,7,1,2,5] => 010100 => [1,1,1,1,2] => 188
[3,6,4,7,1,5,2] => 010101 => [1,1,1,1,1,1] => 296
[3,6,4,7,2,1,5] => 010110 => [1,1,1,2,1] => 188
[3,6,4,7,2,5,1] => 010101 => [1,1,1,1,1,1] => 296
[3,6,4,7,5,1,2] => 010110 => [1,1,1,2,1] => 188
[3,6,4,7,5,2,1] => 010111 => [1,1,1,3] => 82
[3,6,5,1,2,4,7] => 011000 => [1,2,3] => 48
[3,6,5,1,2,7,4] => 011001 => [1,2,2,1] => 112
[3,6,5,1,4,2,7] => 011010 => [1,2,1,1,1] => 180
[3,6,5,1,4,7,2] => 011001 => [1,2,2,1] => 112
[3,6,5,1,7,2,4] => 011010 => [1,2,1,1,1] => 180
[3,6,5,1,7,4,2] => 011011 => [1,2,1,2] => 112
[3,6,5,2,1,4,7] => 011100 => [1,3,2] => 48
[3,6,5,2,1,7,4] => 011101 => [1,3,1,1] => 80
[3,6,5,2,4,1,7] => 011010 => [1,2,1,1,1] => 180
[3,6,5,2,4,7,1] => 011001 => [1,2,2,1] => 112
[3,6,5,2,7,1,4] => 011010 => [1,2,1,1,1] => 180
[3,6,5,2,7,4,1] => 011011 => [1,2,1,2] => 112
[3,6,5,4,1,2,7] => 011100 => [1,3,2] => 48
[3,6,5,4,1,7,2] => 011101 => [1,3,1,1] => 80
[3,6,5,4,2,1,7] => 011110 => [1,4,1] => 26
[3,6,5,4,2,7,1] => 011101 => [1,3,1,1] => 80
[3,6,5,4,7,1,2] => 011010 => [1,2,1,1,1] => 180
[3,6,5,4,7,2,1] => 011011 => [1,2,1,2] => 112
[3,6,5,7,1,2,4] => 010100 => [1,1,1,1,2] => 188
[3,6,5,7,1,4,2] => 010101 => [1,1,1,1,1,1] => 296
[3,6,5,7,2,1,4] => 010110 => [1,1,1,2,1] => 188
[3,6,5,7,2,4,1] => 010101 => [1,1,1,1,1,1] => 296
[3,6,5,7,4,1,2] => 010110 => [1,1,1,2,1] => 188
[3,6,5,7,4,2,1] => 010111 => [1,1,1,3] => 82
[3,6,7,1,2,4,5] => 001000 => [2,1,3] => 48
[3,6,7,1,2,5,4] => 001001 => [2,1,2,1] => 112
[3,6,7,1,4,2,5] => 001010 => [2,1,1,1,1] => 180
[3,6,7,1,4,5,2] => 001001 => [2,1,2,1] => 112
[3,6,7,1,5,2,4] => 001010 => [2,1,1,1,1] => 180
[3,6,7,1,5,4,2] => 001011 => [2,1,1,2] => 112
[3,6,7,2,1,4,5] => 001100 => [2,2,2] => 67
[3,6,7,2,1,5,4] => 001101 => [2,2,1,1] => 110
[3,6,7,2,4,1,5] => 001010 => [2,1,1,1,1] => 180
[3,6,7,2,4,5,1] => 001001 => [2,1,2,1] => 112
[3,6,7,2,5,1,4] => 001010 => [2,1,1,1,1] => 180
[3,6,7,2,5,4,1] => 001011 => [2,1,1,2] => 112
[3,6,7,4,1,2,5] => 001100 => [2,2,2] => 67
[3,6,7,4,1,5,2] => 001101 => [2,2,1,1] => 110
[3,6,7,4,2,1,5] => 001110 => [2,3,1] => 48
[3,6,7,4,2,5,1] => 001101 => [2,2,1,1] => 110
[3,6,7,4,5,1,2] => 001010 => [2,1,1,1,1] => 180
[3,6,7,4,5,2,1] => 001011 => [2,1,1,2] => 112
[3,6,7,5,1,2,4] => 001100 => [2,2,2] => 67
[3,6,7,5,1,4,2] => 001101 => [2,2,1,1] => 110
[3,6,7,5,2,1,4] => 001110 => [2,3,1] => 48
[3,6,7,5,2,4,1] => 001101 => [2,2,1,1] => 110
[3,6,7,5,4,1,2] => 001110 => [2,3,1] => 48
[3,6,7,5,4,2,1] => 001111 => [2,4] => 15
[3,7,1,2,4,5,6] => 010000 => [1,1,4] => 26
[3,7,1,2,4,6,5] => 010001 => [1,1,3,1] => 82
[3,7,1,2,5,4,6] => 010010 => [1,1,2,1,1] => 184
[3,7,1,2,5,6,4] => 010001 => [1,1,3,1] => 82
[3,7,1,2,6,4,5] => 010010 => [1,1,2,1,1] => 184
[3,7,1,2,6,5,4] => 010011 => [1,1,2,2] => 114
[3,7,1,4,2,5,6] => 010100 => [1,1,1,1,2] => 188
[3,7,1,4,2,6,5] => 010101 => [1,1,1,1,1,1] => 296
[3,7,1,4,5,2,6] => 010010 => [1,1,2,1,1] => 184
[3,7,1,4,5,6,2] => 010001 => [1,1,3,1] => 82
[3,7,1,4,6,2,5] => 010010 => [1,1,2,1,1] => 184
[3,7,1,4,6,5,2] => 010011 => [1,1,2,2] => 114
[3,7,1,5,2,4,6] => 010100 => [1,1,1,1,2] => 188
[3,7,1,5,2,6,4] => 010101 => [1,1,1,1,1,1] => 296
[3,7,1,5,4,2,6] => 010110 => [1,1,1,2,1] => 188
[3,7,1,5,4,6,2] => 010101 => [1,1,1,1,1,1] => 296
[3,7,1,5,6,2,4] => 010010 => [1,1,2,1,1] => 184
[3,7,1,5,6,4,2] => 010011 => [1,1,2,2] => 114
[3,7,1,6,2,4,5] => 010100 => [1,1,1,1,2] => 188
[3,7,1,6,2,5,4] => 010101 => [1,1,1,1,1,1] => 296
[3,7,1,6,4,2,5] => 010110 => [1,1,1,2,1] => 188
[3,7,1,6,4,5,2] => 010101 => [1,1,1,1,1,1] => 296
[3,7,1,6,5,2,4] => 010110 => [1,1,1,2,1] => 188
[3,7,1,6,5,4,2] => 010111 => [1,1,1,3] => 82
[3,7,2,1,4,5,6] => 011000 => [1,2,3] => 48
[3,7,2,1,4,6,5] => 011001 => [1,2,2,1] => 112
[3,7,2,1,5,4,6] => 011010 => [1,2,1,1,1] => 180
[3,7,2,1,5,6,4] => 011001 => [1,2,2,1] => 112
[3,7,2,1,6,4,5] => 011010 => [1,2,1,1,1] => 180
[3,7,2,1,6,5,4] => 011011 => [1,2,1,2] => 112
[3,7,2,4,1,5,6] => 010100 => [1,1,1,1,2] => 188
[3,7,2,4,1,6,5] => 010101 => [1,1,1,1,1,1] => 296
[3,7,2,4,5,1,6] => 010010 => [1,1,2,1,1] => 184
[3,7,2,4,5,6,1] => 010001 => [1,1,3,1] => 82
[3,7,2,4,6,1,5] => 010010 => [1,1,2,1,1] => 184
[3,7,2,4,6,5,1] => 010011 => [1,1,2,2] => 114
[3,7,2,5,1,4,6] => 010100 => [1,1,1,1,2] => 188
[3,7,2,5,1,6,4] => 010101 => [1,1,1,1,1,1] => 296
[3,7,2,5,4,1,6] => 010110 => [1,1,1,2,1] => 188
[3,7,2,5,4,6,1] => 010101 => [1,1,1,1,1,1] => 296
[3,7,2,5,6,1,4] => 010010 => [1,1,2,1,1] => 184
[3,7,2,5,6,4,1] => 010011 => [1,1,2,2] => 114
[3,7,2,6,1,4,5] => 010100 => [1,1,1,1,2] => 188
[3,7,2,6,1,5,4] => 010101 => [1,1,1,1,1,1] => 296
[3,7,2,6,4,1,5] => 010110 => [1,1,1,2,1] => 188
[3,7,2,6,4,5,1] => 010101 => [1,1,1,1,1,1] => 296
[3,7,2,6,5,1,4] => 010110 => [1,1,1,2,1] => 188
[3,7,2,6,5,4,1] => 010111 => [1,1,1,3] => 82
[3,7,4,1,2,5,6] => 011000 => [1,2,3] => 48
[3,7,4,1,2,6,5] => 011001 => [1,2,2,1] => 112
[3,7,4,1,5,2,6] => 011010 => [1,2,1,1,1] => 180
[3,7,4,1,5,6,2] => 011001 => [1,2,2,1] => 112
[3,7,4,1,6,2,5] => 011010 => [1,2,1,1,1] => 180
[3,7,4,1,6,5,2] => 011011 => [1,2,1,2] => 112
[3,7,4,2,1,5,6] => 011100 => [1,3,2] => 48
[3,7,4,2,1,6,5] => 011101 => [1,3,1,1] => 80
[3,7,4,2,5,1,6] => 011010 => [1,2,1,1,1] => 180
[3,7,4,2,5,6,1] => 011001 => [1,2,2,1] => 112
[3,7,4,2,6,1,5] => 011010 => [1,2,1,1,1] => 180
[3,7,4,2,6,5,1] => 011011 => [1,2,1,2] => 112
[3,7,4,5,1,2,6] => 010100 => [1,1,1,1,2] => 188
[3,7,4,5,1,6,2] => 010101 => [1,1,1,1,1,1] => 296
[3,7,4,5,2,1,6] => 010110 => [1,1,1,2,1] => 188
[3,7,4,5,2,6,1] => 010101 => [1,1,1,1,1,1] => 296
[3,7,4,5,6,1,2] => 010010 => [1,1,2,1,1] => 184
[3,7,4,5,6,2,1] => 010011 => [1,1,2,2] => 114
[3,7,4,6,1,2,5] => 010100 => [1,1,1,1,2] => 188
[3,7,4,6,1,5,2] => 010101 => [1,1,1,1,1,1] => 296
[3,7,4,6,2,1,5] => 010110 => [1,1,1,2,1] => 188
[3,7,4,6,2,5,1] => 010101 => [1,1,1,1,1,1] => 296
[3,7,4,6,5,1,2] => 010110 => [1,1,1,2,1] => 188
[3,7,4,6,5,2,1] => 010111 => [1,1,1,3] => 82
[3,7,5,1,2,4,6] => 011000 => [1,2,3] => 48
[3,7,5,1,2,6,4] => 011001 => [1,2,2,1] => 112
[3,7,5,1,4,2,6] => 011010 => [1,2,1,1,1] => 180
[3,7,5,1,4,6,2] => 011001 => [1,2,2,1] => 112
[3,7,5,1,6,2,4] => 011010 => [1,2,1,1,1] => 180
[3,7,5,1,6,4,2] => 011011 => [1,2,1,2] => 112
[3,7,5,2,1,4,6] => 011100 => [1,3,2] => 48
[3,7,5,2,1,6,4] => 011101 => [1,3,1,1] => 80
[3,7,5,2,4,1,6] => 011010 => [1,2,1,1,1] => 180
[3,7,5,2,4,6,1] => 011001 => [1,2,2,1] => 112
[3,7,5,2,6,1,4] => 011010 => [1,2,1,1,1] => 180
[3,7,5,2,6,4,1] => 011011 => [1,2,1,2] => 112
[3,7,5,4,1,2,6] => 011100 => [1,3,2] => 48
[3,7,5,4,1,6,2] => 011101 => [1,3,1,1] => 80
[3,7,5,4,2,1,6] => 011110 => [1,4,1] => 26
[3,7,5,4,2,6,1] => 011101 => [1,3,1,1] => 80
[3,7,5,4,6,1,2] => 011010 => [1,2,1,1,1] => 180
[3,7,5,4,6,2,1] => 011011 => [1,2,1,2] => 112
[3,7,5,6,1,2,4] => 010100 => [1,1,1,1,2] => 188
[3,7,5,6,1,4,2] => 010101 => [1,1,1,1,1,1] => 296
[3,7,5,6,2,1,4] => 010110 => [1,1,1,2,1] => 188
[3,7,5,6,2,4,1] => 010101 => [1,1,1,1,1,1] => 296
[3,7,5,6,4,1,2] => 010110 => [1,1,1,2,1] => 188
[3,7,5,6,4,2,1] => 010111 => [1,1,1,3] => 82
[3,7,6,1,2,4,5] => 011000 => [1,2,3] => 48
[3,7,6,1,2,5,4] => 011001 => [1,2,2,1] => 112
[3,7,6,1,4,2,5] => 011010 => [1,2,1,1,1] => 180
[3,7,6,1,4,5,2] => 011001 => [1,2,2,1] => 112
[3,7,6,1,5,2,4] => 011010 => [1,2,1,1,1] => 180
[3,7,6,1,5,4,2] => 011011 => [1,2,1,2] => 112
[3,7,6,2,1,4,5] => 011100 => [1,3,2] => 48
[3,7,6,2,1,5,4] => 011101 => [1,3,1,1] => 80
[3,7,6,2,4,1,5] => 011010 => [1,2,1,1,1] => 180
[3,7,6,2,4,5,1] => 011001 => [1,2,2,1] => 112
[3,7,6,2,5,1,4] => 011010 => [1,2,1,1,1] => 180
[3,7,6,2,5,4,1] => 011011 => [1,2,1,2] => 112
[3,7,6,4,1,2,5] => 011100 => [1,3,2] => 48
[3,7,6,4,1,5,2] => 011101 => [1,3,1,1] => 80
[3,7,6,4,2,1,5] => 011110 => [1,4,1] => 26
[3,7,6,4,2,5,1] => 011101 => [1,3,1,1] => 80
[3,7,6,4,5,1,2] => 011010 => [1,2,1,1,1] => 180
[3,7,6,4,5,2,1] => 011011 => [1,2,1,2] => 112
[3,7,6,5,1,2,4] => 011100 => [1,3,2] => 48
[3,7,6,5,1,4,2] => 011101 => [1,3,1,1] => 80
[3,7,6,5,2,1,4] => 011110 => [1,4,1] => 26
[3,7,6,5,2,4,1] => 011101 => [1,3,1,1] => 80
[3,7,6,5,4,1,2] => 011110 => [1,4,1] => 26
[3,7,6,5,4,2,1] => 011111 => [1,5] => 6
[4,1,2,3,5,6,7] => 100000 => [1,5] => 6
[4,1,2,3,5,7,6] => 100001 => [1,4,1] => 26
[4,1,2,3,6,5,7] => 100010 => [1,3,1,1] => 80
[4,1,2,3,6,7,5] => 100001 => [1,4,1] => 26
[4,1,2,3,7,5,6] => 100010 => [1,3,1,1] => 80
[4,1,2,3,7,6,5] => 100011 => [1,3,2] => 48
[4,1,2,5,3,6,7] => 100100 => [1,2,1,2] => 112
[4,1,2,5,3,7,6] => 100101 => [1,2,1,1,1] => 180
[4,1,2,5,6,3,7] => 100010 => [1,3,1,1] => 80
[4,1,2,5,6,7,3] => 100001 => [1,4,1] => 26
[4,1,2,5,7,3,6] => 100010 => [1,3,1,1] => 80
[4,1,2,5,7,6,3] => 100011 => [1,3,2] => 48
[4,1,2,6,3,5,7] => 100100 => [1,2,1,2] => 112
[4,1,2,6,3,7,5] => 100101 => [1,2,1,1,1] => 180
[4,1,2,6,5,3,7] => 100110 => [1,2,2,1] => 112
[4,1,2,6,5,7,3] => 100101 => [1,2,1,1,1] => 180
[4,1,2,6,7,3,5] => 100010 => [1,3,1,1] => 80
[4,1,2,6,7,5,3] => 100011 => [1,3,2] => 48
[4,1,2,7,3,5,6] => 100100 => [1,2,1,2] => 112
[4,1,2,7,3,6,5] => 100101 => [1,2,1,1,1] => 180
[4,1,2,7,5,3,6] => 100110 => [1,2,2,1] => 112
[4,1,2,7,5,6,3] => 100101 => [1,2,1,1,1] => 180
[4,1,2,7,6,3,5] => 100110 => [1,2,2,1] => 112
[4,1,2,7,6,5,3] => 100111 => [1,2,3] => 48
[4,1,3,2,5,6,7] => 101000 => [1,1,1,3] => 82
[4,1,3,2,5,7,6] => 101001 => [1,1,1,2,1] => 188
[4,1,3,2,6,5,7] => 101010 => [1,1,1,1,1,1] => 296
[4,1,3,2,6,7,5] => 101001 => [1,1,1,2,1] => 188
[4,1,3,2,7,5,6] => 101010 => [1,1,1,1,1,1] => 296
[4,1,3,2,7,6,5] => 101011 => [1,1,1,1,2] => 188
[4,1,3,5,2,6,7] => 100100 => [1,2,1,2] => 112
[4,1,3,5,2,7,6] => 100101 => [1,2,1,1,1] => 180
[4,1,3,5,6,2,7] => 100010 => [1,3,1,1] => 80
[4,1,3,5,6,7,2] => 100001 => [1,4,1] => 26
[4,1,3,5,7,2,6] => 100010 => [1,3,1,1] => 80
[4,1,3,5,7,6,2] => 100011 => [1,3,2] => 48
[4,1,3,6,2,5,7] => 100100 => [1,2,1,2] => 112
[4,1,3,6,2,7,5] => 100101 => [1,2,1,1,1] => 180
[4,1,3,6,5,2,7] => 100110 => [1,2,2,1] => 112
[4,1,3,6,5,7,2] => 100101 => [1,2,1,1,1] => 180
[4,1,3,6,7,2,5] => 100010 => [1,3,1,1] => 80
[4,1,3,6,7,5,2] => 100011 => [1,3,2] => 48
[4,1,3,7,2,5,6] => 100100 => [1,2,1,2] => 112
[4,1,3,7,2,6,5] => 100101 => [1,2,1,1,1] => 180
[4,1,3,7,5,2,6] => 100110 => [1,2,2,1] => 112
[4,1,3,7,5,6,2] => 100101 => [1,2,1,1,1] => 180
[4,1,3,7,6,2,5] => 100110 => [1,2,2,1] => 112
[4,1,3,7,6,5,2] => 100111 => [1,2,3] => 48
[4,1,5,2,3,6,7] => 101000 => [1,1,1,3] => 82
[4,1,5,2,3,7,6] => 101001 => [1,1,1,2,1] => 188
[4,1,5,2,6,3,7] => 101010 => [1,1,1,1,1,1] => 296
[4,1,5,2,6,7,3] => 101001 => [1,1,1,2,1] => 188
[4,1,5,2,7,3,6] => 101010 => [1,1,1,1,1,1] => 296
[4,1,5,2,7,6,3] => 101011 => [1,1,1,1,2] => 188
[4,1,5,3,2,6,7] => 101100 => [1,1,2,2] => 114
[4,1,5,3,2,7,6] => 101101 => [1,1,2,1,1] => 184
[4,1,5,3,6,2,7] => 101010 => [1,1,1,1,1,1] => 296
[4,1,5,3,6,7,2] => 101001 => [1,1,1,2,1] => 188
[4,1,5,3,7,2,6] => 101010 => [1,1,1,1,1,1] => 296
[4,1,5,3,7,6,2] => 101011 => [1,1,1,1,2] => 188
[4,1,5,6,2,3,7] => 100100 => [1,2,1,2] => 112
[4,1,5,6,2,7,3] => 100101 => [1,2,1,1,1] => 180
[4,1,5,6,3,2,7] => 100110 => [1,2,2,1] => 112
[4,1,5,6,3,7,2] => 100101 => [1,2,1,1,1] => 180
[4,1,5,6,7,2,3] => 100010 => [1,3,1,1] => 80
[4,1,5,6,7,3,2] => 100011 => [1,3,2] => 48
[4,1,5,7,2,3,6] => 100100 => [1,2,1,2] => 112
[4,1,5,7,2,6,3] => 100101 => [1,2,1,1,1] => 180
[4,1,5,7,3,2,6] => 100110 => [1,2,2,1] => 112
[4,1,5,7,3,6,2] => 100101 => [1,2,1,1,1] => 180
[4,1,5,7,6,2,3] => 100110 => [1,2,2,1] => 112
[4,1,5,7,6,3,2] => 100111 => [1,2,3] => 48
[4,1,6,2,3,5,7] => 101000 => [1,1,1,3] => 82
[4,1,6,2,3,7,5] => 101001 => [1,1,1,2,1] => 188
[4,1,6,2,5,3,7] => 101010 => [1,1,1,1,1,1] => 296
[4,1,6,2,5,7,3] => 101001 => [1,1,1,2,1] => 188
[4,1,6,2,7,3,5] => 101010 => [1,1,1,1,1,1] => 296
[4,1,6,2,7,5,3] => 101011 => [1,1,1,1,2] => 188
[4,1,6,3,2,5,7] => 101100 => [1,1,2,2] => 114
[4,1,6,3,2,7,5] => 101101 => [1,1,2,1,1] => 184
[4,1,6,3,5,2,7] => 101010 => [1,1,1,1,1,1] => 296
[4,1,6,3,5,7,2] => 101001 => [1,1,1,2,1] => 188
[4,1,6,3,7,2,5] => 101010 => [1,1,1,1,1,1] => 296
[4,1,6,3,7,5,2] => 101011 => [1,1,1,1,2] => 188
[4,1,6,5,2,3,7] => 101100 => [1,1,2,2] => 114
[4,1,6,5,2,7,3] => 101101 => [1,1,2,1,1] => 184
[4,1,6,5,3,2,7] => 101110 => [1,1,3,1] => 82
[4,1,6,5,3,7,2] => 101101 => [1,1,2,1,1] => 184
[4,1,6,5,7,2,3] => 101010 => [1,1,1,1,1,1] => 296
[4,1,6,5,7,3,2] => 101011 => [1,1,1,1,2] => 188
[4,1,6,7,2,3,5] => 100100 => [1,2,1,2] => 112
[4,1,6,7,2,5,3] => 100101 => [1,2,1,1,1] => 180
[4,1,6,7,3,2,5] => 100110 => [1,2,2,1] => 112
[4,1,6,7,3,5,2] => 100101 => [1,2,1,1,1] => 180
[4,1,6,7,5,2,3] => 100110 => [1,2,2,1] => 112
[4,1,6,7,5,3,2] => 100111 => [1,2,3] => 48
[4,1,7,2,3,5,6] => 101000 => [1,1,1,3] => 82
[4,1,7,2,3,6,5] => 101001 => [1,1,1,2,1] => 188
[4,1,7,2,5,3,6] => 101010 => [1,1,1,1,1,1] => 296
[4,1,7,2,5,6,3] => 101001 => [1,1,1,2,1] => 188
[4,1,7,2,6,3,5] => 101010 => [1,1,1,1,1,1] => 296
[4,1,7,2,6,5,3] => 101011 => [1,1,1,1,2] => 188
[4,1,7,3,2,5,6] => 101100 => [1,1,2,2] => 114
[4,1,7,3,2,6,5] => 101101 => [1,1,2,1,1] => 184
[4,1,7,3,5,2,6] => 101010 => [1,1,1,1,1,1] => 296
[4,1,7,3,5,6,2] => 101001 => [1,1,1,2,1] => 188
[4,1,7,3,6,2,5] => 101010 => [1,1,1,1,1,1] => 296
[4,1,7,3,6,5,2] => 101011 => [1,1,1,1,2] => 188
[4,1,7,5,2,3,6] => 101100 => [1,1,2,2] => 114
[4,1,7,5,2,6,3] => 101101 => [1,1,2,1,1] => 184
[4,1,7,5,3,2,6] => 101110 => [1,1,3,1] => 82
[4,1,7,5,3,6,2] => 101101 => [1,1,2,1,1] => 184
[4,1,7,5,6,2,3] => 101010 => [1,1,1,1,1,1] => 296
[4,1,7,5,6,3,2] => 101011 => [1,1,1,1,2] => 188
[4,1,7,6,2,3,5] => 101100 => [1,1,2,2] => 114
[4,1,7,6,2,5,3] => 101101 => [1,1,2,1,1] => 184
[4,1,7,6,3,2,5] => 101110 => [1,1,3,1] => 82
[4,1,7,6,3,5,2] => 101101 => [1,1,2,1,1] => 184
[4,1,7,6,5,2,3] => 101110 => [1,1,3,1] => 82
[4,1,7,6,5,3,2] => 101111 => [1,1,4] => 26
[4,2,1,3,5,6,7] => 110000 => [2,4] => 15
[4,2,1,3,5,7,6] => 110001 => [2,3,1] => 48
[4,2,1,3,6,5,7] => 110010 => [2,2,1,1] => 110
[4,2,1,3,6,7,5] => 110001 => [2,3,1] => 48
[4,2,1,3,7,5,6] => 110010 => [2,2,1,1] => 110
[4,2,1,3,7,6,5] => 110011 => [2,2,2] => 67
[4,2,1,5,3,6,7] => 110100 => [2,1,1,2] => 112
[4,2,1,5,3,7,6] => 110101 => [2,1,1,1,1] => 180
[4,2,1,5,6,3,7] => 110010 => [2,2,1,1] => 110
[4,2,1,5,6,7,3] => 110001 => [2,3,1] => 48
[4,2,1,5,7,3,6] => 110010 => [2,2,1,1] => 110
[4,2,1,5,7,6,3] => 110011 => [2,2,2] => 67
[4,2,1,6,3,5,7] => 110100 => [2,1,1,2] => 112
[4,2,1,6,3,7,5] => 110101 => [2,1,1,1,1] => 180
[4,2,1,6,5,3,7] => 110110 => [2,1,2,1] => 112
[4,2,1,6,5,7,3] => 110101 => [2,1,1,1,1] => 180
[4,2,1,6,7,3,5] => 110010 => [2,2,1,1] => 110
[4,2,1,6,7,5,3] => 110011 => [2,2,2] => 67
[4,2,1,7,3,5,6] => 110100 => [2,1,1,2] => 112
[4,2,1,7,3,6,5] => 110101 => [2,1,1,1,1] => 180
[4,2,1,7,5,3,6] => 110110 => [2,1,2,1] => 112
[4,2,1,7,5,6,3] => 110101 => [2,1,1,1,1] => 180
[4,2,1,7,6,3,5] => 110110 => [2,1,2,1] => 112
[4,2,1,7,6,5,3] => 110111 => [2,1,3] => 48
[4,2,3,1,5,6,7] => 101000 => [1,1,1,3] => 82
[4,2,3,1,5,7,6] => 101001 => [1,1,1,2,1] => 188
[4,2,3,1,6,5,7] => 101010 => [1,1,1,1,1,1] => 296
[4,2,3,1,6,7,5] => 101001 => [1,1,1,2,1] => 188
[4,2,3,1,7,5,6] => 101010 => [1,1,1,1,1,1] => 296
[4,2,3,1,7,6,5] => 101011 => [1,1,1,1,2] => 188
[4,2,3,5,1,6,7] => 100100 => [1,2,1,2] => 112
[4,2,3,5,1,7,6] => 100101 => [1,2,1,1,1] => 180
[4,2,3,5,6,1,7] => 100010 => [1,3,1,1] => 80
[4,2,3,5,6,7,1] => 100001 => [1,4,1] => 26
[4,2,3,5,7,1,6] => 100010 => [1,3,1,1] => 80
[4,2,3,5,7,6,1] => 100011 => [1,3,2] => 48
[4,2,3,6,1,5,7] => 100100 => [1,2,1,2] => 112
[4,2,3,6,1,7,5] => 100101 => [1,2,1,1,1] => 180
[4,2,3,6,5,1,7] => 100110 => [1,2,2,1] => 112
[4,2,3,6,5,7,1] => 100101 => [1,2,1,1,1] => 180
[4,2,3,6,7,1,5] => 100010 => [1,3,1,1] => 80
[4,2,3,6,7,5,1] => 100011 => [1,3,2] => 48
[4,2,3,7,1,5,6] => 100100 => [1,2,1,2] => 112
[4,2,3,7,1,6,5] => 100101 => [1,2,1,1,1] => 180
[4,2,3,7,5,1,6] => 100110 => [1,2,2,1] => 112
[4,2,3,7,5,6,1] => 100101 => [1,2,1,1,1] => 180
[4,2,3,7,6,1,5] => 100110 => [1,2,2,1] => 112
[4,2,3,7,6,5,1] => 100111 => [1,2,3] => 48
[4,2,5,1,3,6,7] => 101000 => [1,1,1,3] => 82
[4,2,5,1,3,7,6] => 101001 => [1,1,1,2,1] => 188
[4,2,5,1,6,3,7] => 101010 => [1,1,1,1,1,1] => 296
[4,2,5,1,6,7,3] => 101001 => [1,1,1,2,1] => 188
[4,2,5,1,7,3,6] => 101010 => [1,1,1,1,1,1] => 296
[4,2,5,1,7,6,3] => 101011 => [1,1,1,1,2] => 188
[4,2,5,3,1,6,7] => 101100 => [1,1,2,2] => 114
[4,2,5,3,1,7,6] => 101101 => [1,1,2,1,1] => 184
[4,2,5,3,6,1,7] => 101010 => [1,1,1,1,1,1] => 296
[4,2,5,3,6,7,1] => 101001 => [1,1,1,2,1] => 188
[4,2,5,3,7,1,6] => 101010 => [1,1,1,1,1,1] => 296
[4,2,5,3,7,6,1] => 101011 => [1,1,1,1,2] => 188
[4,2,5,6,1,3,7] => 100100 => [1,2,1,2] => 112
[4,2,5,6,1,7,3] => 100101 => [1,2,1,1,1] => 180
[4,2,5,6,3,1,7] => 100110 => [1,2,2,1] => 112
[4,2,5,6,3,7,1] => 100101 => [1,2,1,1,1] => 180
[4,2,5,6,7,1,3] => 100010 => [1,3,1,1] => 80
[4,2,5,6,7,3,1] => 100011 => [1,3,2] => 48
[4,2,5,7,1,3,6] => 100100 => [1,2,1,2] => 112
[4,2,5,7,1,6,3] => 100101 => [1,2,1,1,1] => 180
[4,2,5,7,3,1,6] => 100110 => [1,2,2,1] => 112
[4,2,5,7,3,6,1] => 100101 => [1,2,1,1,1] => 180
[4,2,5,7,6,1,3] => 100110 => [1,2,2,1] => 112
[4,2,5,7,6,3,1] => 100111 => [1,2,3] => 48
[4,2,6,1,3,5,7] => 101000 => [1,1,1,3] => 82
[4,2,6,1,3,7,5] => 101001 => [1,1,1,2,1] => 188
[4,2,6,1,5,3,7] => 101010 => [1,1,1,1,1,1] => 296
[4,2,6,1,5,7,3] => 101001 => [1,1,1,2,1] => 188
[4,2,6,1,7,3,5] => 101010 => [1,1,1,1,1,1] => 296
[4,2,6,1,7,5,3] => 101011 => [1,1,1,1,2] => 188
[4,2,6,3,1,5,7] => 101100 => [1,1,2,2] => 114
[4,2,6,3,1,7,5] => 101101 => [1,1,2,1,1] => 184
[4,2,6,3,5,1,7] => 101010 => [1,1,1,1,1,1] => 296
[4,2,6,3,5,7,1] => 101001 => [1,1,1,2,1] => 188
[4,2,6,3,7,1,5] => 101010 => [1,1,1,1,1,1] => 296
[4,2,6,3,7,5,1] => 101011 => [1,1,1,1,2] => 188
[4,2,6,5,1,3,7] => 101100 => [1,1,2,2] => 114
[4,2,6,5,1,7,3] => 101101 => [1,1,2,1,1] => 184
[4,2,6,5,3,1,7] => 101110 => [1,1,3,1] => 82
[4,2,6,5,3,7,1] => 101101 => [1,1,2,1,1] => 184
[4,2,6,5,7,1,3] => 101010 => [1,1,1,1,1,1] => 296
[4,2,6,5,7,3,1] => 101011 => [1,1,1,1,2] => 188
[4,2,6,7,1,3,5] => 100100 => [1,2,1,2] => 112
[4,2,6,7,1,5,3] => 100101 => [1,2,1,1,1] => 180
[4,2,6,7,3,1,5] => 100110 => [1,2,2,1] => 112
[4,2,6,7,3,5,1] => 100101 => [1,2,1,1,1] => 180
[4,2,6,7,5,1,3] => 100110 => [1,2,2,1] => 112
[4,2,6,7,5,3,1] => 100111 => [1,2,3] => 48
[4,2,7,1,3,5,6] => 101000 => [1,1,1,3] => 82
[4,2,7,1,3,6,5] => 101001 => [1,1,1,2,1] => 188
[4,2,7,1,5,3,6] => 101010 => [1,1,1,1,1,1] => 296
[4,2,7,1,5,6,3] => 101001 => [1,1,1,2,1] => 188
[4,2,7,1,6,3,5] => 101010 => [1,1,1,1,1,1] => 296
[4,2,7,1,6,5,3] => 101011 => [1,1,1,1,2] => 188
[4,2,7,3,1,5,6] => 101100 => [1,1,2,2] => 114
[4,2,7,3,1,6,5] => 101101 => [1,1,2,1,1] => 184
[4,2,7,3,5,1,6] => 101010 => [1,1,1,1,1,1] => 296
[4,2,7,3,5,6,1] => 101001 => [1,1,1,2,1] => 188
[4,2,7,3,6,1,5] => 101010 => [1,1,1,1,1,1] => 296
[4,2,7,3,6,5,1] => 101011 => [1,1,1,1,2] => 188
[4,2,7,5,1,3,6] => 101100 => [1,1,2,2] => 114
[4,2,7,5,1,6,3] => 101101 => [1,1,2,1,1] => 184
[4,2,7,5,3,1,6] => 101110 => [1,1,3,1] => 82
[4,2,7,5,3,6,1] => 101101 => [1,1,2,1,1] => 184
[4,2,7,5,6,1,3] => 101010 => [1,1,1,1,1,1] => 296
[4,2,7,5,6,3,1] => 101011 => [1,1,1,1,2] => 188
[4,2,7,6,1,3,5] => 101100 => [1,1,2,2] => 114
[4,2,7,6,1,5,3] => 101101 => [1,1,2,1,1] => 184
[4,2,7,6,3,1,5] => 101110 => [1,1,3,1] => 82
[4,2,7,6,3,5,1] => 101101 => [1,1,2,1,1] => 184
[4,2,7,6,5,1,3] => 101110 => [1,1,3,1] => 82
[4,2,7,6,5,3,1] => 101111 => [1,1,4] => 26
[4,3,1,2,5,6,7] => 110000 => [2,4] => 15
[4,3,1,2,5,7,6] => 110001 => [2,3,1] => 48
[4,3,1,2,6,5,7] => 110010 => [2,2,1,1] => 110
[4,3,1,2,6,7,5] => 110001 => [2,3,1] => 48
[4,3,1,2,7,5,6] => 110010 => [2,2,1,1] => 110
[4,3,1,2,7,6,5] => 110011 => [2,2,2] => 67
[4,3,1,5,2,6,7] => 110100 => [2,1,1,2] => 112
[4,3,1,5,2,7,6] => 110101 => [2,1,1,1,1] => 180
[4,3,1,5,6,2,7] => 110010 => [2,2,1,1] => 110
[4,3,1,5,6,7,2] => 110001 => [2,3,1] => 48
[4,3,1,5,7,2,6] => 110010 => [2,2,1,1] => 110
[4,3,1,5,7,6,2] => 110011 => [2,2,2] => 67
[4,3,1,6,2,5,7] => 110100 => [2,1,1,2] => 112
[4,3,1,6,2,7,5] => 110101 => [2,1,1,1,1] => 180
[4,3,1,6,5,2,7] => 110110 => [2,1,2,1] => 112
[4,3,1,6,5,7,2] => 110101 => [2,1,1,1,1] => 180
[4,3,1,6,7,2,5] => 110010 => [2,2,1,1] => 110
[4,3,1,6,7,5,2] => 110011 => [2,2,2] => 67
[4,3,1,7,2,5,6] => 110100 => [2,1,1,2] => 112
[4,3,1,7,2,6,5] => 110101 => [2,1,1,1,1] => 180
[4,3,1,7,5,2,6] => 110110 => [2,1,2,1] => 112
[4,3,1,7,5,6,2] => 110101 => [2,1,1,1,1] => 180
[4,3,1,7,6,2,5] => 110110 => [2,1,2,1] => 112
[4,3,1,7,6,5,2] => 110111 => [2,1,3] => 48
[4,3,2,1,5,6,7] => 111000 => [3,3] => 20
[4,3,2,1,5,7,6] => 111001 => [3,2,1] => 48
[4,3,2,1,6,5,7] => 111010 => [3,1,1,1] => 80
[4,3,2,1,6,7,5] => 111001 => [3,2,1] => 48
[4,3,2,1,7,5,6] => 111010 => [3,1,1,1] => 80
[4,3,2,1,7,6,5] => 111011 => [3,1,2] => 48
[4,3,2,5,1,6,7] => 110100 => [2,1,1,2] => 112
[4,3,2,5,1,7,6] => 110101 => [2,1,1,1,1] => 180
[4,3,2,5,6,1,7] => 110010 => [2,2,1,1] => 110
[4,3,2,5,6,7,1] => 110001 => [2,3,1] => 48
[4,3,2,5,7,1,6] => 110010 => [2,2,1,1] => 110
[4,3,2,5,7,6,1] => 110011 => [2,2,2] => 67
[4,3,2,6,1,5,7] => 110100 => [2,1,1,2] => 112
[4,3,2,6,1,7,5] => 110101 => [2,1,1,1,1] => 180
[4,3,2,6,5,1,7] => 110110 => [2,1,2,1] => 112
[4,3,2,6,5,7,1] => 110101 => [2,1,1,1,1] => 180
[4,3,2,6,7,1,5] => 110010 => [2,2,1,1] => 110
[4,3,2,6,7,5,1] => 110011 => [2,2,2] => 67
[4,3,2,7,1,5,6] => 110100 => [2,1,1,2] => 112
[4,3,2,7,1,6,5] => 110101 => [2,1,1,1,1] => 180
[4,3,2,7,5,1,6] => 110110 => [2,1,2,1] => 112
[4,3,2,7,5,6,1] => 110101 => [2,1,1,1,1] => 180
[4,3,2,7,6,1,5] => 110110 => [2,1,2,1] => 112
[4,3,2,7,6,5,1] => 110111 => [2,1,3] => 48
[4,3,5,1,2,6,7] => 101000 => [1,1,1,3] => 82
[4,3,5,1,2,7,6] => 101001 => [1,1,1,2,1] => 188
[4,3,5,1,6,2,7] => 101010 => [1,1,1,1,1,1] => 296
[4,3,5,1,6,7,2] => 101001 => [1,1,1,2,1] => 188
[4,3,5,1,7,2,6] => 101010 => [1,1,1,1,1,1] => 296
[4,3,5,1,7,6,2] => 101011 => [1,1,1,1,2] => 188
[4,3,5,2,1,6,7] => 101100 => [1,1,2,2] => 114
[4,3,5,2,1,7,6] => 101101 => [1,1,2,1,1] => 184
[4,3,5,2,6,1,7] => 101010 => [1,1,1,1,1,1] => 296
[4,3,5,2,6,7,1] => 101001 => [1,1,1,2,1] => 188
[4,3,5,2,7,1,6] => 101010 => [1,1,1,1,1,1] => 296
[4,3,5,2,7,6,1] => 101011 => [1,1,1,1,2] => 188
[4,3,5,6,1,2,7] => 100100 => [1,2,1,2] => 112
[4,3,5,6,1,7,2] => 100101 => [1,2,1,1,1] => 180
[4,3,5,6,2,1,7] => 100110 => [1,2,2,1] => 112
[4,3,5,6,2,7,1] => 100101 => [1,2,1,1,1] => 180
[4,3,5,6,7,1,2] => 100010 => [1,3,1,1] => 80
[4,3,5,6,7,2,1] => 100011 => [1,3,2] => 48
[4,3,5,7,1,2,6] => 100100 => [1,2,1,2] => 112
[4,3,5,7,1,6,2] => 100101 => [1,2,1,1,1] => 180
[4,3,5,7,2,1,6] => 100110 => [1,2,2,1] => 112
[4,3,5,7,2,6,1] => 100101 => [1,2,1,1,1] => 180
[4,3,5,7,6,1,2] => 100110 => [1,2,2,1] => 112
[4,3,5,7,6,2,1] => 100111 => [1,2,3] => 48
[4,3,6,1,2,5,7] => 101000 => [1,1,1,3] => 82
[4,3,6,1,2,7,5] => 101001 => [1,1,1,2,1] => 188
[4,3,6,1,5,2,7] => 101010 => [1,1,1,1,1,1] => 296
[4,3,6,1,5,7,2] => 101001 => [1,1,1,2,1] => 188
[4,3,6,1,7,2,5] => 101010 => [1,1,1,1,1,1] => 296
[4,3,6,1,7,5,2] => 101011 => [1,1,1,1,2] => 188
[4,3,6,2,1,5,7] => 101100 => [1,1,2,2] => 114
[4,3,6,2,1,7,5] => 101101 => [1,1,2,1,1] => 184
[4,3,6,2,5,1,7] => 101010 => [1,1,1,1,1,1] => 296
[4,3,6,2,5,7,1] => 101001 => [1,1,1,2,1] => 188
[4,3,6,2,7,1,5] => 101010 => [1,1,1,1,1,1] => 296
[4,3,6,2,7,5,1] => 101011 => [1,1,1,1,2] => 188
[4,3,6,5,1,2,7] => 101100 => [1,1,2,2] => 114
[4,3,6,5,1,7,2] => 101101 => [1,1,2,1,1] => 184
[4,3,6,5,2,1,7] => 101110 => [1,1,3,1] => 82
[4,3,6,5,2,7,1] => 101101 => [1,1,2,1,1] => 184
[4,3,6,5,7,1,2] => 101010 => [1,1,1,1,1,1] => 296
[4,3,6,5,7,2,1] => 101011 => [1,1,1,1,2] => 188
[4,3,6,7,1,2,5] => 100100 => [1,2,1,2] => 112
[4,3,6,7,1,5,2] => 100101 => [1,2,1,1,1] => 180
[4,3,6,7,2,1,5] => 100110 => [1,2,2,1] => 112
[4,3,6,7,2,5,1] => 100101 => [1,2,1,1,1] => 180
[4,3,6,7,5,1,2] => 100110 => [1,2,2,1] => 112
[4,3,6,7,5,2,1] => 100111 => [1,2,3] => 48
[4,3,7,1,2,5,6] => 101000 => [1,1,1,3] => 82
[4,3,7,1,2,6,5] => 101001 => [1,1,1,2,1] => 188
[4,3,7,1,5,2,6] => 101010 => [1,1,1,1,1,1] => 296
[4,3,7,1,5,6,2] => 101001 => [1,1,1,2,1] => 188
[4,3,7,1,6,2,5] => 101010 => [1,1,1,1,1,1] => 296
[4,3,7,1,6,5,2] => 101011 => [1,1,1,1,2] => 188
[4,3,7,2,1,5,6] => 101100 => [1,1,2,2] => 114
[4,3,7,2,1,6,5] => 101101 => [1,1,2,1,1] => 184
[4,3,7,2,5,1,6] => 101010 => [1,1,1,1,1,1] => 296
[4,3,7,2,5,6,1] => 101001 => [1,1,1,2,1] => 188
[4,3,7,2,6,1,5] => 101010 => [1,1,1,1,1,1] => 296
[4,3,7,2,6,5,1] => 101011 => [1,1,1,1,2] => 188
[4,3,7,5,1,2,6] => 101100 => [1,1,2,2] => 114
[4,3,7,5,1,6,2] => 101101 => [1,1,2,1,1] => 184
[4,3,7,5,2,1,6] => 101110 => [1,1,3,1] => 82
[4,3,7,5,2,6,1] => 101101 => [1,1,2,1,1] => 184
[4,3,7,5,6,1,2] => 101010 => [1,1,1,1,1,1] => 296
[4,3,7,5,6,2,1] => 101011 => [1,1,1,1,2] => 188
[4,3,7,6,1,2,5] => 101100 => [1,1,2,2] => 114
[4,3,7,6,1,5,2] => 101101 => [1,1,2,1,1] => 184
[4,3,7,6,2,1,5] => 101110 => [1,1,3,1] => 82
[4,3,7,6,2,5,1] => 101101 => [1,1,2,1,1] => 184
[4,3,7,6,5,1,2] => 101110 => [1,1,3,1] => 82
[4,3,7,6,5,2,1] => 101111 => [1,1,4] => 26
[4,5,1,2,3,6,7] => 010000 => [1,1,4] => 26
[4,5,1,2,3,7,6] => 010001 => [1,1,3,1] => 82
[4,5,1,2,6,3,7] => 010010 => [1,1,2,1,1] => 184
[4,5,1,2,6,7,3] => 010001 => [1,1,3,1] => 82
[4,5,1,2,7,3,6] => 010010 => [1,1,2,1,1] => 184
[4,5,1,2,7,6,3] => 010011 => [1,1,2,2] => 114
[4,5,1,3,2,6,7] => 010100 => [1,1,1,1,2] => 188
[4,5,1,3,2,7,6] => 010101 => [1,1,1,1,1,1] => 296
[4,5,1,3,6,2,7] => 010010 => [1,1,2,1,1] => 184
[4,5,1,3,6,7,2] => 010001 => [1,1,3,1] => 82
[4,5,1,3,7,2,6] => 010010 => [1,1,2,1,1] => 184
[4,5,1,3,7,6,2] => 010011 => [1,1,2,2] => 114
[4,5,1,6,2,3,7] => 010100 => [1,1,1,1,2] => 188
[4,5,1,6,2,7,3] => 010101 => [1,1,1,1,1,1] => 296
[4,5,1,6,3,2,7] => 010110 => [1,1,1,2,1] => 188
[4,5,1,6,3,7,2] => 010101 => [1,1,1,1,1,1] => 296
[4,5,1,6,7,2,3] => 010010 => [1,1,2,1,1] => 184
[4,5,1,6,7,3,2] => 010011 => [1,1,2,2] => 114
[4,5,1,7,2,3,6] => 010100 => [1,1,1,1,2] => 188
[4,5,1,7,2,6,3] => 010101 => [1,1,1,1,1,1] => 296
[4,5,1,7,3,2,6] => 010110 => [1,1,1,2,1] => 188
[4,5,1,7,3,6,2] => 010101 => [1,1,1,1,1,1] => 296
[4,5,1,7,6,2,3] => 010110 => [1,1,1,2,1] => 188
[4,5,1,7,6,3,2] => 010111 => [1,1,1,3] => 82
[4,5,2,1,3,6,7] => 011000 => [1,2,3] => 48
[4,5,2,1,3,7,6] => 011001 => [1,2,2,1] => 112
[4,5,2,1,6,3,7] => 011010 => [1,2,1,1,1] => 180
[4,5,2,1,6,7,3] => 011001 => [1,2,2,1] => 112
[4,5,2,1,7,3,6] => 011010 => [1,2,1,1,1] => 180
[4,5,2,1,7,6,3] => 011011 => [1,2,1,2] => 112
[4,5,2,3,1,6,7] => 010100 => [1,1,1,1,2] => 188
[4,5,2,3,1,7,6] => 010101 => [1,1,1,1,1,1] => 296
[4,5,2,3,6,1,7] => 010010 => [1,1,2,1,1] => 184
[4,5,2,3,6,7,1] => 010001 => [1,1,3,1] => 82
[4,5,2,3,7,1,6] => 010010 => [1,1,2,1,1] => 184
[4,5,2,3,7,6,1] => 010011 => [1,1,2,2] => 114
[4,5,2,6,1,3,7] => 010100 => [1,1,1,1,2] => 188
[4,5,2,6,1,7,3] => 010101 => [1,1,1,1,1,1] => 296
[4,5,2,6,3,1,7] => 010110 => [1,1,1,2,1] => 188
[4,5,2,6,3,7,1] => 010101 => [1,1,1,1,1,1] => 296
[4,5,2,6,7,1,3] => 010010 => [1,1,2,1,1] => 184
[4,5,2,6,7,3,1] => 010011 => [1,1,2,2] => 114
[4,5,2,7,1,3,6] => 010100 => [1,1,1,1,2] => 188
[4,5,2,7,1,6,3] => 010101 => [1,1,1,1,1,1] => 296
[4,5,2,7,3,1,6] => 010110 => [1,1,1,2,1] => 188
[4,5,2,7,3,6,1] => 010101 => [1,1,1,1,1,1] => 296
[4,5,2,7,6,1,3] => 010110 => [1,1,1,2,1] => 188
[4,5,2,7,6,3,1] => 010111 => [1,1,1,3] => 82
[4,5,3,1,2,6,7] => 011000 => [1,2,3] => 48
[4,5,3,1,2,7,6] => 011001 => [1,2,2,1] => 112
[4,5,3,1,6,2,7] => 011010 => [1,2,1,1,1] => 180
[4,5,3,1,6,7,2] => 011001 => [1,2,2,1] => 112
[4,5,3,1,7,2,6] => 011010 => [1,2,1,1,1] => 180
[4,5,3,1,7,6,2] => 011011 => [1,2,1,2] => 112
[4,5,3,2,1,6,7] => 011100 => [1,3,2] => 48
[4,5,3,2,1,7,6] => 011101 => [1,3,1,1] => 80
[4,5,3,2,6,1,7] => 011010 => [1,2,1,1,1] => 180
[4,5,3,2,6,7,1] => 011001 => [1,2,2,1] => 112
[4,5,3,2,7,1,6] => 011010 => [1,2,1,1,1] => 180
[4,5,3,2,7,6,1] => 011011 => [1,2,1,2] => 112
[4,5,3,6,1,2,7] => 010100 => [1,1,1,1,2] => 188
[4,5,3,6,1,7,2] => 010101 => [1,1,1,1,1,1] => 296
[4,5,3,6,2,1,7] => 010110 => [1,1,1,2,1] => 188
[4,5,3,6,2,7,1] => 010101 => [1,1,1,1,1,1] => 296
[4,5,3,6,7,1,2] => 010010 => [1,1,2,1,1] => 184
[4,5,3,6,7,2,1] => 010011 => [1,1,2,2] => 114
[4,5,3,7,1,2,6] => 010100 => [1,1,1,1,2] => 188
[4,5,3,7,1,6,2] => 010101 => [1,1,1,1,1,1] => 296
[4,5,3,7,2,1,6] => 010110 => [1,1,1,2,1] => 188
[4,5,3,7,2,6,1] => 010101 => [1,1,1,1,1,1] => 296
[4,5,3,7,6,1,2] => 010110 => [1,1,1,2,1] => 188
[4,5,3,7,6,2,1] => 010111 => [1,1,1,3] => 82
[4,5,6,1,2,3,7] => 001000 => [2,1,3] => 48
[4,5,6,1,2,7,3] => 001001 => [2,1,2,1] => 112
[4,5,6,1,3,2,7] => 001010 => [2,1,1,1,1] => 180
[4,5,6,1,3,7,2] => 001001 => [2,1,2,1] => 112
[4,5,6,1,7,2,3] => 001010 => [2,1,1,1,1] => 180
[4,5,6,1,7,3,2] => 001011 => [2,1,1,2] => 112
[4,5,6,2,1,3,7] => 001100 => [2,2,2] => 67
[4,5,6,2,1,7,3] => 001101 => [2,2,1,1] => 110
[4,5,6,2,3,1,7] => 001010 => [2,1,1,1,1] => 180
[4,5,6,2,3,7,1] => 001001 => [2,1,2,1] => 112
[4,5,6,2,7,1,3] => 001010 => [2,1,1,1,1] => 180
[4,5,6,2,7,3,1] => 001011 => [2,1,1,2] => 112
[4,5,6,3,1,2,7] => 001100 => [2,2,2] => 67
[4,5,6,3,1,7,2] => 001101 => [2,2,1,1] => 110
[4,5,6,3,2,1,7] => 001110 => [2,3,1] => 48
[4,5,6,3,2,7,1] => 001101 => [2,2,1,1] => 110
[4,5,6,3,7,1,2] => 001010 => [2,1,1,1,1] => 180
[4,5,6,3,7,2,1] => 001011 => [2,1,1,2] => 112
[4,5,6,7,1,2,3] => 000100 => [3,1,2] => 48
[4,5,6,7,1,3,2] => 000101 => [3,1,1,1] => 80
[4,5,6,7,2,1,3] => 000110 => [3,2,1] => 48
[4,5,6,7,2,3,1] => 000101 => [3,1,1,1] => 80
[4,5,6,7,3,1,2] => 000110 => [3,2,1] => 48
[4,5,6,7,3,2,1] => 000111 => [3,3] => 20
[4,5,7,1,2,3,6] => 001000 => [2,1,3] => 48
[4,5,7,1,2,6,3] => 001001 => [2,1,2,1] => 112
[4,5,7,1,3,2,6] => 001010 => [2,1,1,1,1] => 180
[4,5,7,1,3,6,2] => 001001 => [2,1,2,1] => 112
[4,5,7,1,6,2,3] => 001010 => [2,1,1,1,1] => 180
[4,5,7,1,6,3,2] => 001011 => [2,1,1,2] => 112
[4,5,7,2,1,3,6] => 001100 => [2,2,2] => 67
[4,5,7,2,1,6,3] => 001101 => [2,2,1,1] => 110
[4,5,7,2,3,1,6] => 001010 => [2,1,1,1,1] => 180
[4,5,7,2,3,6,1] => 001001 => [2,1,2,1] => 112
[4,5,7,2,6,1,3] => 001010 => [2,1,1,1,1] => 180
[4,5,7,2,6,3,1] => 001011 => [2,1,1,2] => 112
[4,5,7,3,1,2,6] => 001100 => [2,2,2] => 67
[4,5,7,3,1,6,2] => 001101 => [2,2,1,1] => 110
[4,5,7,3,2,1,6] => 001110 => [2,3,1] => 48
[4,5,7,3,2,6,1] => 001101 => [2,2,1,1] => 110
[4,5,7,3,6,1,2] => 001010 => [2,1,1,1,1] => 180
[4,5,7,3,6,2,1] => 001011 => [2,1,1,2] => 112
[4,5,7,6,1,2,3] => 001100 => [2,2,2] => 67
[4,5,7,6,1,3,2] => 001101 => [2,2,1,1] => 110
[4,5,7,6,2,1,3] => 001110 => [2,3,1] => 48
[4,5,7,6,2,3,1] => 001101 => [2,2,1,1] => 110
[4,5,7,6,3,1,2] => 001110 => [2,3,1] => 48
[4,5,7,6,3,2,1] => 001111 => [2,4] => 15
[4,6,1,2,3,5,7] => 010000 => [1,1,4] => 26
[4,6,1,2,3,7,5] => 010001 => [1,1,3,1] => 82
[4,6,1,2,5,3,7] => 010010 => [1,1,2,1,1] => 184
[4,6,1,2,5,7,3] => 010001 => [1,1,3,1] => 82
[4,6,1,2,7,3,5] => 010010 => [1,1,2,1,1] => 184
[4,6,1,2,7,5,3] => 010011 => [1,1,2,2] => 114
[4,6,1,3,2,5,7] => 010100 => [1,1,1,1,2] => 188
[4,6,1,3,2,7,5] => 010101 => [1,1,1,1,1,1] => 296
[4,6,1,3,5,2,7] => 010010 => [1,1,2,1,1] => 184
[4,6,1,3,5,7,2] => 010001 => [1,1,3,1] => 82
[4,6,1,3,7,2,5] => 010010 => [1,1,2,1,1] => 184
[4,6,1,3,7,5,2] => 010011 => [1,1,2,2] => 114
[4,6,1,5,2,3,7] => 010100 => [1,1,1,1,2] => 188
[4,6,1,5,2,7,3] => 010101 => [1,1,1,1,1,1] => 296
[4,6,1,5,3,2,7] => 010110 => [1,1,1,2,1] => 188
[4,6,1,5,3,7,2] => 010101 => [1,1,1,1,1,1] => 296
[4,6,1,5,7,2,3] => 010010 => [1,1,2,1,1] => 184
[4,6,1,5,7,3,2] => 010011 => [1,1,2,2] => 114
[4,6,1,7,2,3,5] => 010100 => [1,1,1,1,2] => 188
[4,6,1,7,2,5,3] => 010101 => [1,1,1,1,1,1] => 296
[4,6,1,7,3,2,5] => 010110 => [1,1,1,2,1] => 188
[4,6,1,7,3,5,2] => 010101 => [1,1,1,1,1,1] => 296
[4,6,1,7,5,2,3] => 010110 => [1,1,1,2,1] => 188
[4,6,1,7,5,3,2] => 010111 => [1,1,1,3] => 82
[4,6,2,1,3,5,7] => 011000 => [1,2,3] => 48
[4,6,2,1,3,7,5] => 011001 => [1,2,2,1] => 112
[4,6,2,1,5,3,7] => 011010 => [1,2,1,1,1] => 180
[4,6,2,1,5,7,3] => 011001 => [1,2,2,1] => 112
[4,6,2,1,7,3,5] => 011010 => [1,2,1,1,1] => 180
[4,6,2,1,7,5,3] => 011011 => [1,2,1,2] => 112
[4,6,2,3,1,5,7] => 010100 => [1,1,1,1,2] => 188
[4,6,2,3,1,7,5] => 010101 => [1,1,1,1,1,1] => 296
[4,6,2,3,5,1,7] => 010010 => [1,1,2,1,1] => 184
[4,6,2,3,5,7,1] => 010001 => [1,1,3,1] => 82
[4,6,2,3,7,1,5] => 010010 => [1,1,2,1,1] => 184
[4,6,2,3,7,5,1] => 010011 => [1,1,2,2] => 114
[4,6,2,5,1,3,7] => 010100 => [1,1,1,1,2] => 188
[4,6,2,5,1,7,3] => 010101 => [1,1,1,1,1,1] => 296
[4,6,2,5,3,1,7] => 010110 => [1,1,1,2,1] => 188
[4,6,2,5,3,7,1] => 010101 => [1,1,1,1,1,1] => 296
[4,6,2,5,7,1,3] => 010010 => [1,1,2,1,1] => 184
[4,6,2,5,7,3,1] => 010011 => [1,1,2,2] => 114
[4,6,2,7,1,3,5] => 010100 => [1,1,1,1,2] => 188
[4,6,2,7,1,5,3] => 010101 => [1,1,1,1,1,1] => 296
[4,6,2,7,3,1,5] => 010110 => [1,1,1,2,1] => 188
[4,6,2,7,3,5,1] => 010101 => [1,1,1,1,1,1] => 296
[4,6,2,7,5,1,3] => 010110 => [1,1,1,2,1] => 188
[4,6,2,7,5,3,1] => 010111 => [1,1,1,3] => 82
[4,6,3,1,2,5,7] => 011000 => [1,2,3] => 48
[4,6,3,1,2,7,5] => 011001 => [1,2,2,1] => 112
[4,6,3,1,5,2,7] => 011010 => [1,2,1,1,1] => 180
[4,6,3,1,5,7,2] => 011001 => [1,2,2,1] => 112
[4,6,3,1,7,2,5] => 011010 => [1,2,1,1,1] => 180
[4,6,3,1,7,5,2] => 011011 => [1,2,1,2] => 112
[4,6,3,2,1,5,7] => 011100 => [1,3,2] => 48
[4,6,3,2,1,7,5] => 011101 => [1,3,1,1] => 80
[4,6,3,2,5,1,7] => 011010 => [1,2,1,1,1] => 180
[4,6,3,2,5,7,1] => 011001 => [1,2,2,1] => 112
[4,6,3,2,7,1,5] => 011010 => [1,2,1,1,1] => 180
[4,6,3,2,7,5,1] => 011011 => [1,2,1,2] => 112
[4,6,3,5,1,2,7] => 010100 => [1,1,1,1,2] => 188
[4,6,3,5,1,7,2] => 010101 => [1,1,1,1,1,1] => 296
[4,6,3,5,2,1,7] => 010110 => [1,1,1,2,1] => 188
[4,6,3,5,2,7,1] => 010101 => [1,1,1,1,1,1] => 296
[4,6,3,5,7,1,2] => 010010 => [1,1,2,1,1] => 184
[4,6,3,5,7,2,1] => 010011 => [1,1,2,2] => 114
[4,6,3,7,1,2,5] => 010100 => [1,1,1,1,2] => 188
[4,6,3,7,1,5,2] => 010101 => [1,1,1,1,1,1] => 296
[4,6,3,7,2,1,5] => 010110 => [1,1,1,2,1] => 188
[4,6,3,7,2,5,1] => 010101 => [1,1,1,1,1,1] => 296
[4,6,3,7,5,1,2] => 010110 => [1,1,1,2,1] => 188
[4,6,3,7,5,2,1] => 010111 => [1,1,1,3] => 82
[4,6,5,1,2,3,7] => 011000 => [1,2,3] => 48
[4,6,5,1,2,7,3] => 011001 => [1,2,2,1] => 112
[4,6,5,1,3,2,7] => 011010 => [1,2,1,1,1] => 180
[4,6,5,1,3,7,2] => 011001 => [1,2,2,1] => 112
[4,6,5,1,7,2,3] => 011010 => [1,2,1,1,1] => 180
[4,6,5,1,7,3,2] => 011011 => [1,2,1,2] => 112
[4,6,5,2,1,3,7] => 011100 => [1,3,2] => 48
[4,6,5,2,1,7,3] => 011101 => [1,3,1,1] => 80
[4,6,5,2,3,1,7] => 011010 => [1,2,1,1,1] => 180
[4,6,5,2,3,7,1] => 011001 => [1,2,2,1] => 112
[4,6,5,2,7,1,3] => 011010 => [1,2,1,1,1] => 180
[4,6,5,2,7,3,1] => 011011 => [1,2,1,2] => 112
[4,6,5,3,1,2,7] => 011100 => [1,3,2] => 48
[4,6,5,3,1,7,2] => 011101 => [1,3,1,1] => 80
[4,6,5,3,2,1,7] => 011110 => [1,4,1] => 26
[4,6,5,3,2,7,1] => 011101 => [1,3,1,1] => 80
[4,6,5,3,7,1,2] => 011010 => [1,2,1,1,1] => 180
[4,6,5,3,7,2,1] => 011011 => [1,2,1,2] => 112
[4,6,5,7,1,2,3] => 010100 => [1,1,1,1,2] => 188
[4,6,5,7,1,3,2] => 010101 => [1,1,1,1,1,1] => 296
[4,6,5,7,2,1,3] => 010110 => [1,1,1,2,1] => 188
[4,6,5,7,2,3,1] => 010101 => [1,1,1,1,1,1] => 296
[4,6,5,7,3,1,2] => 010110 => [1,1,1,2,1] => 188
[4,6,5,7,3,2,1] => 010111 => [1,1,1,3] => 82
[4,6,7,1,2,3,5] => 001000 => [2,1,3] => 48
[4,6,7,1,2,5,3] => 001001 => [2,1,2,1] => 112
[4,6,7,1,3,2,5] => 001010 => [2,1,1,1,1] => 180
[4,6,7,1,3,5,2] => 001001 => [2,1,2,1] => 112
[4,6,7,1,5,2,3] => 001010 => [2,1,1,1,1] => 180
[4,6,7,1,5,3,2] => 001011 => [2,1,1,2] => 112
[4,6,7,2,1,3,5] => 001100 => [2,2,2] => 67
[4,6,7,2,1,5,3] => 001101 => [2,2,1,1] => 110
[4,6,7,2,3,1,5] => 001010 => [2,1,1,1,1] => 180
[4,6,7,2,3,5,1] => 001001 => [2,1,2,1] => 112
[4,6,7,2,5,1,3] => 001010 => [2,1,1,1,1] => 180
[4,6,7,2,5,3,1] => 001011 => [2,1,1,2] => 112
[4,6,7,3,1,2,5] => 001100 => [2,2,2] => 67
[4,6,7,3,1,5,2] => 001101 => [2,2,1,1] => 110
[4,6,7,3,2,1,5] => 001110 => [2,3,1] => 48
[4,6,7,3,2,5,1] => 001101 => [2,2,1,1] => 110
[4,6,7,3,5,1,2] => 001010 => [2,1,1,1,1] => 180
[4,6,7,3,5,2,1] => 001011 => [2,1,1,2] => 112
[4,6,7,5,1,2,3] => 001100 => [2,2,2] => 67
[4,6,7,5,1,3,2] => 001101 => [2,2,1,1] => 110
[4,6,7,5,2,1,3] => 001110 => [2,3,1] => 48
[4,6,7,5,2,3,1] => 001101 => [2,2,1,1] => 110
[4,6,7,5,3,1,2] => 001110 => [2,3,1] => 48
[4,6,7,5,3,2,1] => 001111 => [2,4] => 15
[4,7,1,2,3,5,6] => 010000 => [1,1,4] => 26
[4,7,1,2,3,6,5] => 010001 => [1,1,3,1] => 82
[4,7,1,2,5,3,6] => 010010 => [1,1,2,1,1] => 184
[4,7,1,2,5,6,3] => 010001 => [1,1,3,1] => 82
[4,7,1,2,6,3,5] => 010010 => [1,1,2,1,1] => 184
[4,7,1,2,6,5,3] => 010011 => [1,1,2,2] => 114
[4,7,1,3,2,5,6] => 010100 => [1,1,1,1,2] => 188
[4,7,1,3,2,6,5] => 010101 => [1,1,1,1,1,1] => 296
[4,7,1,3,5,2,6] => 010010 => [1,1,2,1,1] => 184
[4,7,1,3,5,6,2] => 010001 => [1,1,3,1] => 82
[4,7,1,3,6,2,5] => 010010 => [1,1,2,1,1] => 184
[4,7,1,3,6,5,2] => 010011 => [1,1,2,2] => 114
[4,7,1,5,2,3,6] => 010100 => [1,1,1,1,2] => 188
[4,7,1,5,2,6,3] => 010101 => [1,1,1,1,1,1] => 296
[4,7,1,5,3,2,6] => 010110 => [1,1,1,2,1] => 188
[4,7,1,5,3,6,2] => 010101 => [1,1,1,1,1,1] => 296
[4,7,1,5,6,2,3] => 010010 => [1,1,2,1,1] => 184
[4,7,1,5,6,3,2] => 010011 => [1,1,2,2] => 114
[4,7,1,6,2,3,5] => 010100 => [1,1,1,1,2] => 188
[4,7,1,6,2,5,3] => 010101 => [1,1,1,1,1,1] => 296
[4,7,1,6,3,2,5] => 010110 => [1,1,1,2,1] => 188
[4,7,1,6,3,5,2] => 010101 => [1,1,1,1,1,1] => 296
[4,7,1,6,5,2,3] => 010110 => [1,1,1,2,1] => 188
[4,7,1,6,5,3,2] => 010111 => [1,1,1,3] => 82
[4,7,2,1,3,5,6] => 011000 => [1,2,3] => 48
[4,7,2,1,3,6,5] => 011001 => [1,2,2,1] => 112
[4,7,2,1,5,3,6] => 011010 => [1,2,1,1,1] => 180
[4,7,2,1,5,6,3] => 011001 => [1,2,2,1] => 112
[4,7,2,1,6,3,5] => 011010 => [1,2,1,1,1] => 180
[4,7,2,1,6,5,3] => 011011 => [1,2,1,2] => 112
[4,7,2,3,1,5,6] => 010100 => [1,1,1,1,2] => 188
[4,7,2,3,1,6,5] => 010101 => [1,1,1,1,1,1] => 296
[4,7,2,3,5,1,6] => 010010 => [1,1,2,1,1] => 184
[4,7,2,3,5,6,1] => 010001 => [1,1,3,1] => 82
[4,7,2,3,6,1,5] => 010010 => [1,1,2,1,1] => 184
[4,7,2,3,6,5,1] => 010011 => [1,1,2,2] => 114
[4,7,2,5,1,3,6] => 010100 => [1,1,1,1,2] => 188
[4,7,2,5,1,6,3] => 010101 => [1,1,1,1,1,1] => 296
[4,7,2,5,3,1,6] => 010110 => [1,1,1,2,1] => 188
[4,7,2,5,3,6,1] => 010101 => [1,1,1,1,1,1] => 296
[4,7,2,5,6,1,3] => 010010 => [1,1,2,1,1] => 184
[4,7,2,5,6,3,1] => 010011 => [1,1,2,2] => 114
[4,7,2,6,1,3,5] => 010100 => [1,1,1,1,2] => 188
[4,7,2,6,1,5,3] => 010101 => [1,1,1,1,1,1] => 296
[4,7,2,6,3,1,5] => 010110 => [1,1,1,2,1] => 188
[4,7,2,6,3,5,1] => 010101 => [1,1,1,1,1,1] => 296
[4,7,2,6,5,1,3] => 010110 => [1,1,1,2,1] => 188
[4,7,2,6,5,3,1] => 010111 => [1,1,1,3] => 82
[4,7,3,1,2,5,6] => 011000 => [1,2,3] => 48
[4,7,3,1,2,6,5] => 011001 => [1,2,2,1] => 112
[4,7,3,1,5,2,6] => 011010 => [1,2,1,1,1] => 180
[4,7,3,1,5,6,2] => 011001 => [1,2,2,1] => 112
[4,7,3,1,6,2,5] => 011010 => [1,2,1,1,1] => 180
[4,7,3,1,6,5,2] => 011011 => [1,2,1,2] => 112
[4,7,3,2,1,5,6] => 011100 => [1,3,2] => 48
[4,7,3,2,1,6,5] => 011101 => [1,3,1,1] => 80
[4,7,3,2,5,1,6] => 011010 => [1,2,1,1,1] => 180
[4,7,3,2,5,6,1] => 011001 => [1,2,2,1] => 112
[4,7,3,2,6,1,5] => 011010 => [1,2,1,1,1] => 180
[4,7,3,2,6,5,1] => 011011 => [1,2,1,2] => 112
[4,7,3,5,1,2,6] => 010100 => [1,1,1,1,2] => 188
[4,7,3,5,1,6,2] => 010101 => [1,1,1,1,1,1] => 296
[4,7,3,5,2,1,6] => 010110 => [1,1,1,2,1] => 188
[4,7,3,5,2,6,1] => 010101 => [1,1,1,1,1,1] => 296
[4,7,3,5,6,1,2] => 010010 => [1,1,2,1,1] => 184
[4,7,3,5,6,2,1] => 010011 => [1,1,2,2] => 114
[4,7,3,6,1,2,5] => 010100 => [1,1,1,1,2] => 188
[4,7,3,6,1,5,2] => 010101 => [1,1,1,1,1,1] => 296
[4,7,3,6,2,1,5] => 010110 => [1,1,1,2,1] => 188
[4,7,3,6,2,5,1] => 010101 => [1,1,1,1,1,1] => 296
[4,7,3,6,5,1,2] => 010110 => [1,1,1,2,1] => 188
[4,7,3,6,5,2,1] => 010111 => [1,1,1,3] => 82
[4,7,5,1,2,3,6] => 011000 => [1,2,3] => 48
[4,7,5,1,2,6,3] => 011001 => [1,2,2,1] => 112
[4,7,5,1,3,2,6] => 011010 => [1,2,1,1,1] => 180
[4,7,5,1,3,6,2] => 011001 => [1,2,2,1] => 112
[4,7,5,1,6,2,3] => 011010 => [1,2,1,1,1] => 180
[4,7,5,1,6,3,2] => 011011 => [1,2,1,2] => 112
[4,7,5,2,1,3,6] => 011100 => [1,3,2] => 48
[4,7,5,2,1,6,3] => 011101 => [1,3,1,1] => 80
[4,7,5,2,3,1,6] => 011010 => [1,2,1,1,1] => 180
[4,7,5,2,3,6,1] => 011001 => [1,2,2,1] => 112
[4,7,5,2,6,1,3] => 011010 => [1,2,1,1,1] => 180
[4,7,5,2,6,3,1] => 011011 => [1,2,1,2] => 112
[4,7,5,3,1,2,6] => 011100 => [1,3,2] => 48
[4,7,5,3,1,6,2] => 011101 => [1,3,1,1] => 80
[4,7,5,3,2,1,6] => 011110 => [1,4,1] => 26
[4,7,5,3,2,6,1] => 011101 => [1,3,1,1] => 80
[4,7,5,3,6,1,2] => 011010 => [1,2,1,1,1] => 180
[4,7,5,3,6,2,1] => 011011 => [1,2,1,2] => 112
[4,7,5,6,1,2,3] => 010100 => [1,1,1,1,2] => 188
[4,7,5,6,1,3,2] => 010101 => [1,1,1,1,1,1] => 296
[4,7,5,6,2,1,3] => 010110 => [1,1,1,2,1] => 188
[4,7,5,6,2,3,1] => 010101 => [1,1,1,1,1,1] => 296
[4,7,5,6,3,1,2] => 010110 => [1,1,1,2,1] => 188
[4,7,5,6,3,2,1] => 010111 => [1,1,1,3] => 82
[4,7,6,1,2,3,5] => 011000 => [1,2,3] => 48
[4,7,6,1,2,5,3] => 011001 => [1,2,2,1] => 112
[4,7,6,1,3,2,5] => 011010 => [1,2,1,1,1] => 180
[4,7,6,1,3,5,2] => 011001 => [1,2,2,1] => 112
[4,7,6,1,5,2,3] => 011010 => [1,2,1,1,1] => 180
[4,7,6,1,5,3,2] => 011011 => [1,2,1,2] => 112
[4,7,6,2,1,3,5] => 011100 => [1,3,2] => 48
[4,7,6,2,1,5,3] => 011101 => [1,3,1,1] => 80
[4,7,6,2,3,1,5] => 011010 => [1,2,1,1,1] => 180
[4,7,6,2,3,5,1] => 011001 => [1,2,2,1] => 112
[4,7,6,2,5,1,3] => 011010 => [1,2,1,1,1] => 180
[4,7,6,2,5,3,1] => 011011 => [1,2,1,2] => 112
[4,7,6,3,1,2,5] => 011100 => [1,3,2] => 48
[4,7,6,3,1,5,2] => 011101 => [1,3,1,1] => 80
[4,7,6,3,2,1,5] => 011110 => [1,4,1] => 26
[4,7,6,3,2,5,1] => 011101 => [1,3,1,1] => 80
[4,7,6,3,5,1,2] => 011010 => [1,2,1,1,1] => 180
[4,7,6,3,5,2,1] => 011011 => [1,2,1,2] => 112
[4,7,6,5,1,2,3] => 011100 => [1,3,2] => 48
[4,7,6,5,1,3,2] => 011101 => [1,3,1,1] => 80
[4,7,6,5,2,1,3] => 011110 => [1,4,1] => 26
[4,7,6,5,2,3,1] => 011101 => [1,3,1,1] => 80
[4,7,6,5,3,1,2] => 011110 => [1,4,1] => 26
[4,7,6,5,3,2,1] => 011111 => [1,5] => 6
[5,1,2,3,4,6,7] => 100000 => [1,5] => 6
[5,1,2,3,4,7,6] => 100001 => [1,4,1] => 26
[5,1,2,3,6,4,7] => 100010 => [1,3,1,1] => 80
[5,1,2,3,6,7,4] => 100001 => [1,4,1] => 26
[5,1,2,3,7,4,6] => 100010 => [1,3,1,1] => 80
[5,1,2,3,7,6,4] => 100011 => [1,3,2] => 48
[5,1,2,4,3,6,7] => 100100 => [1,2,1,2] => 112
[5,1,2,4,3,7,6] => 100101 => [1,2,1,1,1] => 180
[5,1,2,4,6,3,7] => 100010 => [1,3,1,1] => 80
[5,1,2,4,6,7,3] => 100001 => [1,4,1] => 26
[5,1,2,4,7,3,6] => 100010 => [1,3,1,1] => 80
[5,1,2,4,7,6,3] => 100011 => [1,3,2] => 48
[5,1,2,6,3,4,7] => 100100 => [1,2,1,2] => 112
[5,1,2,6,3,7,4] => 100101 => [1,2,1,1,1] => 180
[5,1,2,6,4,3,7] => 100110 => [1,2,2,1] => 112
[5,1,2,6,4,7,3] => 100101 => [1,2,1,1,1] => 180
[5,1,2,6,7,3,4] => 100010 => [1,3,1,1] => 80
[5,1,2,6,7,4,3] => 100011 => [1,3,2] => 48
[5,1,2,7,3,4,6] => 100100 => [1,2,1,2] => 112
[5,1,2,7,3,6,4] => 100101 => [1,2,1,1,1] => 180
[5,1,2,7,4,3,6] => 100110 => [1,2,2,1] => 112
[5,1,2,7,4,6,3] => 100101 => [1,2,1,1,1] => 180
[5,1,2,7,6,3,4] => 100110 => [1,2,2,1] => 112
[5,1,2,7,6,4,3] => 100111 => [1,2,3] => 48
[5,1,3,2,4,6,7] => 101000 => [1,1,1,3] => 82
[5,1,3,2,4,7,6] => 101001 => [1,1,1,2,1] => 188
[5,1,3,2,6,4,7] => 101010 => [1,1,1,1,1,1] => 296
[5,1,3,2,6,7,4] => 101001 => [1,1,1,2,1] => 188
[5,1,3,2,7,4,6] => 101010 => [1,1,1,1,1,1] => 296
[5,1,3,2,7,6,4] => 101011 => [1,1,1,1,2] => 188
[5,1,3,4,2,6,7] => 100100 => [1,2,1,2] => 112
[5,1,3,4,2,7,6] => 100101 => [1,2,1,1,1] => 180
[5,1,3,4,6,2,7] => 100010 => [1,3,1,1] => 80
[5,1,3,4,6,7,2] => 100001 => [1,4,1] => 26
[5,1,3,4,7,2,6] => 100010 => [1,3,1,1] => 80
[5,1,3,4,7,6,2] => 100011 => [1,3,2] => 48
[5,1,3,6,2,4,7] => 100100 => [1,2,1,2] => 112
[5,1,3,6,2,7,4] => 100101 => [1,2,1,1,1] => 180
[5,1,3,6,4,2,7] => 100110 => [1,2,2,1] => 112
[5,1,3,6,4,7,2] => 100101 => [1,2,1,1,1] => 180
[5,1,3,6,7,2,4] => 100010 => [1,3,1,1] => 80
[5,1,3,6,7,4,2] => 100011 => [1,3,2] => 48
[5,1,3,7,2,4,6] => 100100 => [1,2,1,2] => 112
[5,1,3,7,2,6,4] => 100101 => [1,2,1,1,1] => 180
[5,1,3,7,4,2,6] => 100110 => [1,2,2,1] => 112
[5,1,3,7,4,6,2] => 100101 => [1,2,1,1,1] => 180
[5,1,3,7,6,2,4] => 100110 => [1,2,2,1] => 112
[5,1,3,7,6,4,2] => 100111 => [1,2,3] => 48
[5,1,4,2,3,6,7] => 101000 => [1,1,1,3] => 82
[5,1,4,2,3,7,6] => 101001 => [1,1,1,2,1] => 188
[5,1,4,2,6,3,7] => 101010 => [1,1,1,1,1,1] => 296
[5,1,4,2,6,7,3] => 101001 => [1,1,1,2,1] => 188
[5,1,4,2,7,3,6] => 101010 => [1,1,1,1,1,1] => 296
[5,1,4,2,7,6,3] => 101011 => [1,1,1,1,2] => 188
[5,1,4,3,2,6,7] => 101100 => [1,1,2,2] => 114
[5,1,4,3,2,7,6] => 101101 => [1,1,2,1,1] => 184
[5,1,4,3,6,2,7] => 101010 => [1,1,1,1,1,1] => 296
[5,1,4,3,6,7,2] => 101001 => [1,1,1,2,1] => 188
[5,1,4,3,7,2,6] => 101010 => [1,1,1,1,1,1] => 296
[5,1,4,3,7,6,2] => 101011 => [1,1,1,1,2] => 188
[5,1,4,6,2,3,7] => 100100 => [1,2,1,2] => 112
[5,1,4,6,2,7,3] => 100101 => [1,2,1,1,1] => 180
[5,1,4,6,3,2,7] => 100110 => [1,2,2,1] => 112
[5,1,4,6,3,7,2] => 100101 => [1,2,1,1,1] => 180
[5,1,4,6,7,2,3] => 100010 => [1,3,1,1] => 80
[5,1,4,6,7,3,2] => 100011 => [1,3,2] => 48
[5,1,4,7,2,3,6] => 100100 => [1,2,1,2] => 112
[5,1,4,7,2,6,3] => 100101 => [1,2,1,1,1] => 180
[5,1,4,7,3,2,6] => 100110 => [1,2,2,1] => 112
[5,1,4,7,3,6,2] => 100101 => [1,2,1,1,1] => 180
[5,1,4,7,6,2,3] => 100110 => [1,2,2,1] => 112
[5,1,4,7,6,3,2] => 100111 => [1,2,3] => 48
[5,1,6,2,3,4,7] => 101000 => [1,1,1,3] => 82
[5,1,6,2,3,7,4] => 101001 => [1,1,1,2,1] => 188
[5,1,6,2,4,3,7] => 101010 => [1,1,1,1,1,1] => 296
[5,1,6,2,4,7,3] => 101001 => [1,1,1,2,1] => 188
[5,1,6,2,7,3,4] => 101010 => [1,1,1,1,1,1] => 296
[5,1,6,2,7,4,3] => 101011 => [1,1,1,1,2] => 188
[5,1,6,3,2,4,7] => 101100 => [1,1,2,2] => 114
[5,1,6,3,2,7,4] => 101101 => [1,1,2,1,1] => 184
[5,1,6,3,4,2,7] => 101010 => [1,1,1,1,1,1] => 296
[5,1,6,3,4,7,2] => 101001 => [1,1,1,2,1] => 188
[5,1,6,3,7,2,4] => 101010 => [1,1,1,1,1,1] => 296
[5,1,6,3,7,4,2] => 101011 => [1,1,1,1,2] => 188
[5,1,6,4,2,3,7] => 101100 => [1,1,2,2] => 114
[5,1,6,4,2,7,3] => 101101 => [1,1,2,1,1] => 184
[5,1,6,4,3,2,7] => 101110 => [1,1,3,1] => 82
[5,1,6,4,3,7,2] => 101101 => [1,1,2,1,1] => 184
[5,1,6,4,7,2,3] => 101010 => [1,1,1,1,1,1] => 296
[5,1,6,4,7,3,2] => 101011 => [1,1,1,1,2] => 188
[5,1,6,7,2,3,4] => 100100 => [1,2,1,2] => 112
[5,1,6,7,2,4,3] => 100101 => [1,2,1,1,1] => 180
[5,1,6,7,3,2,4] => 100110 => [1,2,2,1] => 112
[5,1,6,7,3,4,2] => 100101 => [1,2,1,1,1] => 180
[5,1,6,7,4,2,3] => 100110 => [1,2,2,1] => 112
[5,1,6,7,4,3,2] => 100111 => [1,2,3] => 48
[5,1,7,2,3,4,6] => 101000 => [1,1,1,3] => 82
[5,1,7,2,3,6,4] => 101001 => [1,1,1,2,1] => 188
[5,1,7,2,4,3,6] => 101010 => [1,1,1,1,1,1] => 296
[5,1,7,2,4,6,3] => 101001 => [1,1,1,2,1] => 188
[5,1,7,2,6,3,4] => 101010 => [1,1,1,1,1,1] => 296
[5,1,7,2,6,4,3] => 101011 => [1,1,1,1,2] => 188
[5,1,7,3,2,4,6] => 101100 => [1,1,2,2] => 114
[5,1,7,3,2,6,4] => 101101 => [1,1,2,1,1] => 184
[5,1,7,3,4,2,6] => 101010 => [1,1,1,1,1,1] => 296
[5,1,7,3,4,6,2] => 101001 => [1,1,1,2,1] => 188
[5,1,7,3,6,2,4] => 101010 => [1,1,1,1,1,1] => 296
[5,1,7,3,6,4,2] => 101011 => [1,1,1,1,2] => 188
[5,1,7,4,2,3,6] => 101100 => [1,1,2,2] => 114
[5,1,7,4,2,6,3] => 101101 => [1,1,2,1,1] => 184
[5,1,7,4,3,2,6] => 101110 => [1,1,3,1] => 82
[5,1,7,4,3,6,2] => 101101 => [1,1,2,1,1] => 184
[5,1,7,4,6,2,3] => 101010 => [1,1,1,1,1,1] => 296
[5,1,7,4,6,3,2] => 101011 => [1,1,1,1,2] => 188
[5,1,7,6,2,3,4] => 101100 => [1,1,2,2] => 114
[5,1,7,6,2,4,3] => 101101 => [1,1,2,1,1] => 184
[5,1,7,6,3,2,4] => 101110 => [1,1,3,1] => 82
[5,1,7,6,3,4,2] => 101101 => [1,1,2,1,1] => 184
[5,1,7,6,4,2,3] => 101110 => [1,1,3,1] => 82
[5,1,7,6,4,3,2] => 101111 => [1,1,4] => 26
[5,2,1,3,4,6,7] => 110000 => [2,4] => 15
[5,2,1,3,4,7,6] => 110001 => [2,3,1] => 48
[5,2,1,3,6,4,7] => 110010 => [2,2,1,1] => 110
[5,2,1,3,6,7,4] => 110001 => [2,3,1] => 48
[5,2,1,3,7,4,6] => 110010 => [2,2,1,1] => 110
[5,2,1,3,7,6,4] => 110011 => [2,2,2] => 67
[5,2,1,4,3,6,7] => 110100 => [2,1,1,2] => 112
[5,2,1,4,3,7,6] => 110101 => [2,1,1,1,1] => 180
[5,2,1,4,6,3,7] => 110010 => [2,2,1,1] => 110
[5,2,1,4,6,7,3] => 110001 => [2,3,1] => 48
[5,2,1,4,7,3,6] => 110010 => [2,2,1,1] => 110
[5,2,1,4,7,6,3] => 110011 => [2,2,2] => 67
[5,2,1,6,3,4,7] => 110100 => [2,1,1,2] => 112
[5,2,1,6,3,7,4] => 110101 => [2,1,1,1,1] => 180
[5,2,1,6,4,3,7] => 110110 => [2,1,2,1] => 112
[5,2,1,6,4,7,3] => 110101 => [2,1,1,1,1] => 180
[5,2,1,6,7,3,4] => 110010 => [2,2,1,1] => 110
[5,2,1,6,7,4,3] => 110011 => [2,2,2] => 67
[5,2,1,7,3,4,6] => 110100 => [2,1,1,2] => 112
[5,2,1,7,3,6,4] => 110101 => [2,1,1,1,1] => 180
[5,2,1,7,4,3,6] => 110110 => [2,1,2,1] => 112
[5,2,1,7,4,6,3] => 110101 => [2,1,1,1,1] => 180
[5,2,1,7,6,3,4] => 110110 => [2,1,2,1] => 112
[5,2,1,7,6,4,3] => 110111 => [2,1,3] => 48
[5,2,3,1,4,6,7] => 101000 => [1,1,1,3] => 82
[5,2,3,1,4,7,6] => 101001 => [1,1,1,2,1] => 188
[5,2,3,1,6,4,7] => 101010 => [1,1,1,1,1,1] => 296
[5,2,3,1,6,7,4] => 101001 => [1,1,1,2,1] => 188
[5,2,3,1,7,4,6] => 101010 => [1,1,1,1,1,1] => 296
[5,2,3,1,7,6,4] => 101011 => [1,1,1,1,2] => 188
[5,2,3,4,1,6,7] => 100100 => [1,2,1,2] => 112
[5,2,3,4,1,7,6] => 100101 => [1,2,1,1,1] => 180
[5,2,3,4,6,1,7] => 100010 => [1,3,1,1] => 80
[5,2,3,4,6,7,1] => 100001 => [1,4,1] => 26
[5,2,3,4,7,1,6] => 100010 => [1,3,1,1] => 80
[5,2,3,4,7,6,1] => 100011 => [1,3,2] => 48
[5,2,3,6,1,4,7] => 100100 => [1,2,1,2] => 112
[5,2,3,6,1,7,4] => 100101 => [1,2,1,1,1] => 180
[5,2,3,6,4,1,7] => 100110 => [1,2,2,1] => 112
[5,2,3,6,4,7,1] => 100101 => [1,2,1,1,1] => 180
[5,2,3,6,7,1,4] => 100010 => [1,3,1,1] => 80
[5,2,3,6,7,4,1] => 100011 => [1,3,2] => 48
[5,2,3,7,1,4,6] => 100100 => [1,2,1,2] => 112
[5,2,3,7,1,6,4] => 100101 => [1,2,1,1,1] => 180
[5,2,3,7,4,1,6] => 100110 => [1,2,2,1] => 112
[5,2,3,7,4,6,1] => 100101 => [1,2,1,1,1] => 180
[5,2,3,7,6,1,4] => 100110 => [1,2,2,1] => 112
[5,2,3,7,6,4,1] => 100111 => [1,2,3] => 48
[5,2,4,1,3,6,7] => 101000 => [1,1,1,3] => 82
[5,2,4,1,3,7,6] => 101001 => [1,1,1,2,1] => 188
[5,2,4,1,6,3,7] => 101010 => [1,1,1,1,1,1] => 296
[5,2,4,1,6,7,3] => 101001 => [1,1,1,2,1] => 188
[5,2,4,1,7,3,6] => 101010 => [1,1,1,1,1,1] => 296
[5,2,4,1,7,6,3] => 101011 => [1,1,1,1,2] => 188
[5,2,4,3,1,6,7] => 101100 => [1,1,2,2] => 114
[5,2,4,3,1,7,6] => 101101 => [1,1,2,1,1] => 184
[5,2,4,3,6,1,7] => 101010 => [1,1,1,1,1,1] => 296
[5,2,4,3,6,7,1] => 101001 => [1,1,1,2,1] => 188
[5,2,4,3,7,1,6] => 101010 => [1,1,1,1,1,1] => 296
[5,2,4,3,7,6,1] => 101011 => [1,1,1,1,2] => 188
[5,2,4,6,1,3,7] => 100100 => [1,2,1,2] => 112
[5,2,4,6,1,7,3] => 100101 => [1,2,1,1,1] => 180
[5,2,4,6,3,1,7] => 100110 => [1,2,2,1] => 112
[5,2,4,6,3,7,1] => 100101 => [1,2,1,1,1] => 180
[5,2,4,6,7,1,3] => 100010 => [1,3,1,1] => 80
[5,2,4,6,7,3,1] => 100011 => [1,3,2] => 48
[5,2,4,7,1,3,6] => 100100 => [1,2,1,2] => 112
[5,2,4,7,1,6,3] => 100101 => [1,2,1,1,1] => 180
[5,2,4,7,3,1,6] => 100110 => [1,2,2,1] => 112
[5,2,4,7,3,6,1] => 100101 => [1,2,1,1,1] => 180
[5,2,4,7,6,1,3] => 100110 => [1,2,2,1] => 112
[5,2,4,7,6,3,1] => 100111 => [1,2,3] => 48
[5,2,6,1,3,4,7] => 101000 => [1,1,1,3] => 82
[5,2,6,1,3,7,4] => 101001 => [1,1,1,2,1] => 188
[5,2,6,1,4,3,7] => 101010 => [1,1,1,1,1,1] => 296
[5,2,6,1,4,7,3] => 101001 => [1,1,1,2,1] => 188
[5,2,6,1,7,3,4] => 101010 => [1,1,1,1,1,1] => 296
[5,2,6,1,7,4,3] => 101011 => [1,1,1,1,2] => 188
[5,2,6,3,1,4,7] => 101100 => [1,1,2,2] => 114
[5,2,6,3,1,7,4] => 101101 => [1,1,2,1,1] => 184
[5,2,6,3,4,1,7] => 101010 => [1,1,1,1,1,1] => 296
[5,2,6,3,4,7,1] => 101001 => [1,1,1,2,1] => 188
[5,2,6,3,7,1,4] => 101010 => [1,1,1,1,1,1] => 296
[5,2,6,3,7,4,1] => 101011 => [1,1,1,1,2] => 188
[5,2,6,4,1,3,7] => 101100 => [1,1,2,2] => 114
[5,2,6,4,1,7,3] => 101101 => [1,1,2,1,1] => 184
[5,2,6,4,3,1,7] => 101110 => [1,1,3,1] => 82
[5,2,6,4,3,7,1] => 101101 => [1,1,2,1,1] => 184
[5,2,6,4,7,1,3] => 101010 => [1,1,1,1,1,1] => 296
[5,2,6,4,7,3,1] => 101011 => [1,1,1,1,2] => 188
[5,2,6,7,1,3,4] => 100100 => [1,2,1,2] => 112
[5,2,6,7,1,4,3] => 100101 => [1,2,1,1,1] => 180
[5,2,6,7,3,1,4] => 100110 => [1,2,2,1] => 112
[5,2,6,7,3,4,1] => 100101 => [1,2,1,1,1] => 180
[5,2,6,7,4,1,3] => 100110 => [1,2,2,1] => 112
[5,2,6,7,4,3,1] => 100111 => [1,2,3] => 48
[5,2,7,1,3,4,6] => 101000 => [1,1,1,3] => 82
[5,2,7,1,3,6,4] => 101001 => [1,1,1,2,1] => 188
[5,2,7,1,4,3,6] => 101010 => [1,1,1,1,1,1] => 296
[5,2,7,1,4,6,3] => 101001 => [1,1,1,2,1] => 188
[5,2,7,1,6,3,4] => 101010 => [1,1,1,1,1,1] => 296
[5,2,7,1,6,4,3] => 101011 => [1,1,1,1,2] => 188
[5,2,7,3,1,4,6] => 101100 => [1,1,2,2] => 114
[5,2,7,3,1,6,4] => 101101 => [1,1,2,1,1] => 184
[5,2,7,3,4,1,6] => 101010 => [1,1,1,1,1,1] => 296
[5,2,7,3,4,6,1] => 101001 => [1,1,1,2,1] => 188
[5,2,7,3,6,1,4] => 101010 => [1,1,1,1,1,1] => 296
[5,2,7,3,6,4,1] => 101011 => [1,1,1,1,2] => 188
[5,2,7,4,1,3,6] => 101100 => [1,1,2,2] => 114
[5,2,7,4,1,6,3] => 101101 => [1,1,2,1,1] => 184
[5,2,7,4,3,1,6] => 101110 => [1,1,3,1] => 82
[5,2,7,4,3,6,1] => 101101 => [1,1,2,1,1] => 184
[5,2,7,4,6,1,3] => 101010 => [1,1,1,1,1,1] => 296
[5,2,7,4,6,3,1] => 101011 => [1,1,1,1,2] => 188
[5,2,7,6,1,3,4] => 101100 => [1,1,2,2] => 114
[5,2,7,6,1,4,3] => 101101 => [1,1,2,1,1] => 184
[5,2,7,6,3,1,4] => 101110 => [1,1,3,1] => 82
[5,2,7,6,3,4,1] => 101101 => [1,1,2,1,1] => 184
[5,2,7,6,4,1,3] => 101110 => [1,1,3,1] => 82
[5,2,7,6,4,3,1] => 101111 => [1,1,4] => 26
[5,3,1,2,4,6,7] => 110000 => [2,4] => 15
[5,3,1,2,4,7,6] => 110001 => [2,3,1] => 48
[5,3,1,2,6,4,7] => 110010 => [2,2,1,1] => 110
[5,3,1,2,6,7,4] => 110001 => [2,3,1] => 48
[5,3,1,2,7,4,6] => 110010 => [2,2,1,1] => 110
[5,3,1,2,7,6,4] => 110011 => [2,2,2] => 67
[5,3,1,4,2,6,7] => 110100 => [2,1,1,2] => 112
[5,3,1,4,2,7,6] => 110101 => [2,1,1,1,1] => 180
[5,3,1,4,6,2,7] => 110010 => [2,2,1,1] => 110
[5,3,1,4,6,7,2] => 110001 => [2,3,1] => 48
[5,3,1,4,7,2,6] => 110010 => [2,2,1,1] => 110
[5,3,1,4,7,6,2] => 110011 => [2,2,2] => 67
[5,3,1,6,2,4,7] => 110100 => [2,1,1,2] => 112
[5,3,1,6,2,7,4] => 110101 => [2,1,1,1,1] => 180
[5,3,1,6,4,2,7] => 110110 => [2,1,2,1] => 112
[5,3,1,6,4,7,2] => 110101 => [2,1,1,1,1] => 180
[5,3,1,6,7,2,4] => 110010 => [2,2,1,1] => 110
[5,3,1,6,7,4,2] => 110011 => [2,2,2] => 67
[5,3,1,7,2,4,6] => 110100 => [2,1,1,2] => 112
[5,3,1,7,2,6,4] => 110101 => [2,1,1,1,1] => 180
[5,3,1,7,4,2,6] => 110110 => [2,1,2,1] => 112
[5,3,1,7,4,6,2] => 110101 => [2,1,1,1,1] => 180
[5,3,1,7,6,2,4] => 110110 => [2,1,2,1] => 112
[5,3,1,7,6,4,2] => 110111 => [2,1,3] => 48
[5,3,2,1,4,6,7] => 111000 => [3,3] => 20
[5,3,2,1,4,7,6] => 111001 => [3,2,1] => 48
[5,3,2,1,6,4,7] => 111010 => [3,1,1,1] => 80
[5,3,2,1,6,7,4] => 111001 => [3,2,1] => 48
[5,3,2,1,7,4,6] => 111010 => [3,1,1,1] => 80
[5,3,2,1,7,6,4] => 111011 => [3,1,2] => 48
[5,3,2,4,1,6,7] => 110100 => [2,1,1,2] => 112
[5,3,2,4,1,7,6] => 110101 => [2,1,1,1,1] => 180
[5,3,2,4,6,1,7] => 110010 => [2,2,1,1] => 110
[5,3,2,4,6,7,1] => 110001 => [2,3,1] => 48
[5,3,2,4,7,1,6] => 110010 => [2,2,1,1] => 110
[5,3,2,4,7,6,1] => 110011 => [2,2,2] => 67
[5,3,2,6,1,4,7] => 110100 => [2,1,1,2] => 112
[5,3,2,6,1,7,4] => 110101 => [2,1,1,1,1] => 180
[5,3,2,6,4,1,7] => 110110 => [2,1,2,1] => 112
[5,3,2,6,4,7,1] => 110101 => [2,1,1,1,1] => 180
[5,3,2,6,7,1,4] => 110010 => [2,2,1,1] => 110
[5,3,2,6,7,4,1] => 110011 => [2,2,2] => 67
[5,3,2,7,1,4,6] => 110100 => [2,1,1,2] => 112
[5,3,2,7,1,6,4] => 110101 => [2,1,1,1,1] => 180
[5,3,2,7,4,1,6] => 110110 => [2,1,2,1] => 112
[5,3,2,7,4,6,1] => 110101 => [2,1,1,1,1] => 180
[5,3,2,7,6,1,4] => 110110 => [2,1,2,1] => 112
[5,3,2,7,6,4,1] => 110111 => [2,1,3] => 48
[5,3,4,1,2,6,7] => 101000 => [1,1,1,3] => 82
[5,3,4,1,2,7,6] => 101001 => [1,1,1,2,1] => 188
[5,3,4,1,6,2,7] => 101010 => [1,1,1,1,1,1] => 296
[5,3,4,1,6,7,2] => 101001 => [1,1,1,2,1] => 188
[5,3,4,1,7,2,6] => 101010 => [1,1,1,1,1,1] => 296
[5,3,4,1,7,6,2] => 101011 => [1,1,1,1,2] => 188
[5,3,4,2,1,6,7] => 101100 => [1,1,2,2] => 114
[5,3,4,2,1,7,6] => 101101 => [1,1,2,1,1] => 184
[5,3,4,2,6,1,7] => 101010 => [1,1,1,1,1,1] => 296
[5,3,4,2,6,7,1] => 101001 => [1,1,1,2,1] => 188
[5,3,4,2,7,1,6] => 101010 => [1,1,1,1,1,1] => 296
[5,3,4,2,7,6,1] => 101011 => [1,1,1,1,2] => 188
[5,3,4,6,1,2,7] => 100100 => [1,2,1,2] => 112
[5,3,4,6,1,7,2] => 100101 => [1,2,1,1,1] => 180
[5,3,4,6,2,1,7] => 100110 => [1,2,2,1] => 112
[5,3,4,6,2,7,1] => 100101 => [1,2,1,1,1] => 180
[5,3,4,6,7,1,2] => 100010 => [1,3,1,1] => 80
[5,3,4,6,7,2,1] => 100011 => [1,3,2] => 48
[5,3,4,7,1,2,6] => 100100 => [1,2,1,2] => 112
[5,3,4,7,1,6,2] => 100101 => [1,2,1,1,1] => 180
[5,3,4,7,2,1,6] => 100110 => [1,2,2,1] => 112
[5,3,4,7,2,6,1] => 100101 => [1,2,1,1,1] => 180
[5,3,4,7,6,1,2] => 100110 => [1,2,2,1] => 112
[5,3,4,7,6,2,1] => 100111 => [1,2,3] => 48
[5,3,6,1,2,4,7] => 101000 => [1,1,1,3] => 82
[5,3,6,1,2,7,4] => 101001 => [1,1,1,2,1] => 188
[5,3,6,1,4,2,7] => 101010 => [1,1,1,1,1,1] => 296
[5,3,6,1,4,7,2] => 101001 => [1,1,1,2,1] => 188
[5,3,6,1,7,2,4] => 101010 => [1,1,1,1,1,1] => 296
[5,3,6,1,7,4,2] => 101011 => [1,1,1,1,2] => 188
[5,3,6,2,1,4,7] => 101100 => [1,1,2,2] => 114
[5,3,6,2,1,7,4] => 101101 => [1,1,2,1,1] => 184
[5,3,6,2,4,1,7] => 101010 => [1,1,1,1,1,1] => 296
[5,3,6,2,4,7,1] => 101001 => [1,1,1,2,1] => 188
[5,3,6,2,7,1,4] => 101010 => [1,1,1,1,1,1] => 296
[5,3,6,2,7,4,1] => 101011 => [1,1,1,1,2] => 188
[5,3,6,4,1,2,7] => 101100 => [1,1,2,2] => 114
[5,3,6,4,1,7,2] => 101101 => [1,1,2,1,1] => 184
[5,3,6,4,2,1,7] => 101110 => [1,1,3,1] => 82
[5,3,6,4,2,7,1] => 101101 => [1,1,2,1,1] => 184
[5,3,6,4,7,1,2] => 101010 => [1,1,1,1,1,1] => 296
[5,3,6,4,7,2,1] => 101011 => [1,1,1,1,2] => 188
[5,3,6,7,1,2,4] => 100100 => [1,2,1,2] => 112
[5,3,6,7,1,4,2] => 100101 => [1,2,1,1,1] => 180
[5,3,6,7,2,1,4] => 100110 => [1,2,2,1] => 112
[5,3,6,7,2,4,1] => 100101 => [1,2,1,1,1] => 180
[5,3,6,7,4,1,2] => 100110 => [1,2,2,1] => 112
[5,3,6,7,4,2,1] => 100111 => [1,2,3] => 48
[5,3,7,1,2,4,6] => 101000 => [1,1,1,3] => 82
[5,3,7,1,2,6,4] => 101001 => [1,1,1,2,1] => 188
[5,3,7,1,4,2,6] => 101010 => [1,1,1,1,1,1] => 296
[5,3,7,1,4,6,2] => 101001 => [1,1,1,2,1] => 188
[5,3,7,1,6,2,4] => 101010 => [1,1,1,1,1,1] => 296
[5,3,7,1,6,4,2] => 101011 => [1,1,1,1,2] => 188
[5,3,7,2,1,4,6] => 101100 => [1,1,2,2] => 114
[5,3,7,2,1,6,4] => 101101 => [1,1,2,1,1] => 184
[5,3,7,2,4,1,6] => 101010 => [1,1,1,1,1,1] => 296
[5,3,7,2,4,6,1] => 101001 => [1,1,1,2,1] => 188
[5,3,7,2,6,1,4] => 101010 => [1,1,1,1,1,1] => 296
[5,3,7,2,6,4,1] => 101011 => [1,1,1,1,2] => 188
[5,3,7,4,1,2,6] => 101100 => [1,1,2,2] => 114
[5,3,7,4,1,6,2] => 101101 => [1,1,2,1,1] => 184
[5,3,7,4,2,1,6] => 101110 => [1,1,3,1] => 82
[5,3,7,4,2,6,1] => 101101 => [1,1,2,1,1] => 184
[5,3,7,4,6,1,2] => 101010 => [1,1,1,1,1,1] => 296
[5,3,7,4,6,2,1] => 101011 => [1,1,1,1,2] => 188
[5,3,7,6,1,2,4] => 101100 => [1,1,2,2] => 114
[5,3,7,6,1,4,2] => 101101 => [1,1,2,1,1] => 184
[5,3,7,6,2,1,4] => 101110 => [1,1,3,1] => 82
[5,3,7,6,2,4,1] => 101101 => [1,1,2,1,1] => 184
[5,3,7,6,4,1,2] => 101110 => [1,1,3,1] => 82
[5,3,7,6,4,2,1] => 101111 => [1,1,4] => 26
[5,4,1,2,3,6,7] => 110000 => [2,4] => 15
[5,4,1,2,3,7,6] => 110001 => [2,3,1] => 48
[5,4,1,2,6,3,7] => 110010 => [2,2,1,1] => 110
[5,4,1,2,6,7,3] => 110001 => [2,3,1] => 48
[5,4,1,2,7,3,6] => 110010 => [2,2,1,1] => 110
[5,4,1,2,7,6,3] => 110011 => [2,2,2] => 67
[5,4,1,3,2,6,7] => 110100 => [2,1,1,2] => 112
[5,4,1,3,2,7,6] => 110101 => [2,1,1,1,1] => 180
[5,4,1,3,6,2,7] => 110010 => [2,2,1,1] => 110
[5,4,1,3,6,7,2] => 110001 => [2,3,1] => 48
[5,4,1,3,7,2,6] => 110010 => [2,2,1,1] => 110
[5,4,1,3,7,6,2] => 110011 => [2,2,2] => 67
[5,4,1,6,2,3,7] => 110100 => [2,1,1,2] => 112
[5,4,1,6,2,7,3] => 110101 => [2,1,1,1,1] => 180
[5,4,1,6,3,2,7] => 110110 => [2,1,2,1] => 112
[5,4,1,6,3,7,2] => 110101 => [2,1,1,1,1] => 180
[5,4,1,6,7,2,3] => 110010 => [2,2,1,1] => 110
[5,4,1,6,7,3,2] => 110011 => [2,2,2] => 67
[5,4,1,7,2,3,6] => 110100 => [2,1,1,2] => 112
[5,4,1,7,2,6,3] => 110101 => [2,1,1,1,1] => 180
[5,4,1,7,3,2,6] => 110110 => [2,1,2,1] => 112
[5,4,1,7,3,6,2] => 110101 => [2,1,1,1,1] => 180
[5,4,1,7,6,2,3] => 110110 => [2,1,2,1] => 112
[5,4,1,7,6,3,2] => 110111 => [2,1,3] => 48
[5,4,2,1,3,6,7] => 111000 => [3,3] => 20
[5,4,2,1,3,7,6] => 111001 => [3,2,1] => 48
[5,4,2,1,6,3,7] => 111010 => [3,1,1,1] => 80
[5,4,2,1,6,7,3] => 111001 => [3,2,1] => 48
[5,4,2,1,7,3,6] => 111010 => [3,1,1,1] => 80
[5,4,2,1,7,6,3] => 111011 => [3,1,2] => 48
[5,4,2,3,1,6,7] => 110100 => [2,1,1,2] => 112
[5,4,2,3,1,7,6] => 110101 => [2,1,1,1,1] => 180
[5,4,2,3,6,1,7] => 110010 => [2,2,1,1] => 110
[5,4,2,3,6,7,1] => 110001 => [2,3,1] => 48
[5,4,2,3,7,1,6] => 110010 => [2,2,1,1] => 110
[5,4,2,3,7,6,1] => 110011 => [2,2,2] => 67
[5,4,2,6,1,3,7] => 110100 => [2,1,1,2] => 112
[5,4,2,6,1,7,3] => 110101 => [2,1,1,1,1] => 180
[5,4,2,6,3,1,7] => 110110 => [2,1,2,1] => 112
[5,4,2,6,3,7,1] => 110101 => [2,1,1,1,1] => 180
[5,4,2,6,7,1,3] => 110010 => [2,2,1,1] => 110
[5,4,2,6,7,3,1] => 110011 => [2,2,2] => 67
[5,4,2,7,1,3,6] => 110100 => [2,1,1,2] => 112
[5,4,2,7,1,6,3] => 110101 => [2,1,1,1,1] => 180
[5,4,2,7,3,1,6] => 110110 => [2,1,2,1] => 112
[5,4,2,7,3,6,1] => 110101 => [2,1,1,1,1] => 180
[5,4,2,7,6,1,3] => 110110 => [2,1,2,1] => 112
[5,4,2,7,6,3,1] => 110111 => [2,1,3] => 48
[5,4,3,1,2,6,7] => 111000 => [3,3] => 20
[5,4,3,1,2,7,6] => 111001 => [3,2,1] => 48
[5,4,3,1,6,2,7] => 111010 => [3,1,1,1] => 80
[5,4,3,1,6,7,2] => 111001 => [3,2,1] => 48
[5,4,3,1,7,2,6] => 111010 => [3,1,1,1] => 80
[5,4,3,1,7,6,2] => 111011 => [3,1,2] => 48
[5,4,3,2,1,6,7] => 111100 => [4,2] => 15
[5,4,3,2,1,7,6] => 111101 => [4,1,1] => 26
[5,4,3,2,6,1,7] => 111010 => [3,1,1,1] => 80
[5,4,3,2,6,7,1] => 111001 => [3,2,1] => 48
[5,4,3,2,7,1,6] => 111010 => [3,1,1,1] => 80
[5,4,3,2,7,6,1] => 111011 => [3,1,2] => 48
[5,4,3,6,1,2,7] => 110100 => [2,1,1,2] => 112
[5,4,3,6,1,7,2] => 110101 => [2,1,1,1,1] => 180
[5,4,3,6,2,1,7] => 110110 => [2,1,2,1] => 112
[5,4,3,6,2,7,1] => 110101 => [2,1,1,1,1] => 180
[5,4,3,6,7,1,2] => 110010 => [2,2,1,1] => 110
[5,4,3,6,7,2,1] => 110011 => [2,2,2] => 67
[5,4,3,7,1,2,6] => 110100 => [2,1,1,2] => 112
[5,4,3,7,1,6,2] => 110101 => [2,1,1,1,1] => 180
[5,4,3,7,2,1,6] => 110110 => [2,1,2,1] => 112
[5,4,3,7,2,6,1] => 110101 => [2,1,1,1,1] => 180
[5,4,3,7,6,1,2] => 110110 => [2,1,2,1] => 112
[5,4,3,7,6,2,1] => 110111 => [2,1,3] => 48
[5,4,6,1,2,3,7] => 101000 => [1,1,1,3] => 82
[5,4,6,1,2,7,3] => 101001 => [1,1,1,2,1] => 188
[5,4,6,1,3,2,7] => 101010 => [1,1,1,1,1,1] => 296
[5,4,6,1,3,7,2] => 101001 => [1,1,1,2,1] => 188
[5,4,6,1,7,2,3] => 101010 => [1,1,1,1,1,1] => 296
[5,4,6,1,7,3,2] => 101011 => [1,1,1,1,2] => 188
[5,4,6,2,1,3,7] => 101100 => [1,1,2,2] => 114
[5,4,6,2,1,7,3] => 101101 => [1,1,2,1,1] => 184
[5,4,6,2,3,1,7] => 101010 => [1,1,1,1,1,1] => 296
[5,4,6,2,3,7,1] => 101001 => [1,1,1,2,1] => 188
[5,4,6,2,7,1,3] => 101010 => [1,1,1,1,1,1] => 296
[5,4,6,2,7,3,1] => 101011 => [1,1,1,1,2] => 188
[5,4,6,3,1,2,7] => 101100 => [1,1,2,2] => 114
[5,4,6,3,1,7,2] => 101101 => [1,1,2,1,1] => 184
[5,4,6,3,2,1,7] => 101110 => [1,1,3,1] => 82
[5,4,6,3,2,7,1] => 101101 => [1,1,2,1,1] => 184
[5,4,6,3,7,1,2] => 101010 => [1,1,1,1,1,1] => 296
[5,4,6,3,7,2,1] => 101011 => [1,1,1,1,2] => 188
[5,4,6,7,1,2,3] => 100100 => [1,2,1,2] => 112
[5,4,6,7,1,3,2] => 100101 => [1,2,1,1,1] => 180
[5,4,6,7,2,1,3] => 100110 => [1,2,2,1] => 112
[5,4,6,7,2,3,1] => 100101 => [1,2,1,1,1] => 180
[5,4,6,7,3,1,2] => 100110 => [1,2,2,1] => 112
[5,4,6,7,3,2,1] => 100111 => [1,2,3] => 48
[5,4,7,1,2,3,6] => 101000 => [1,1,1,3] => 82
[5,4,7,1,2,6,3] => 101001 => [1,1,1,2,1] => 188
[5,4,7,1,3,2,6] => 101010 => [1,1,1,1,1,1] => 296
[5,4,7,1,3,6,2] => 101001 => [1,1,1,2,1] => 188
[5,4,7,1,6,2,3] => 101010 => [1,1,1,1,1,1] => 296
[5,4,7,1,6,3,2] => 101011 => [1,1,1,1,2] => 188
[5,4,7,2,1,3,6] => 101100 => [1,1,2,2] => 114
[5,4,7,2,1,6,3] => 101101 => [1,1,2,1,1] => 184
[5,4,7,2,3,1,6] => 101010 => [1,1,1,1,1,1] => 296
[5,4,7,2,3,6,1] => 101001 => [1,1,1,2,1] => 188
[5,4,7,2,6,1,3] => 101010 => [1,1,1,1,1,1] => 296
[5,4,7,2,6,3,1] => 101011 => [1,1,1,1,2] => 188
[5,4,7,3,1,2,6] => 101100 => [1,1,2,2] => 114
[5,4,7,3,1,6,2] => 101101 => [1,1,2,1,1] => 184
[5,4,7,3,2,1,6] => 101110 => [1,1,3,1] => 82
[5,4,7,3,2,6,1] => 101101 => [1,1,2,1,1] => 184
[5,4,7,3,6,1,2] => 101010 => [1,1,1,1,1,1] => 296
[5,4,7,3,6,2,1] => 101011 => [1,1,1,1,2] => 188
[5,4,7,6,1,2,3] => 101100 => [1,1,2,2] => 114
[5,4,7,6,1,3,2] => 101101 => [1,1,2,1,1] => 184
[5,4,7,6,2,1,3] => 101110 => [1,1,3,1] => 82
[5,4,7,6,2,3,1] => 101101 => [1,1,2,1,1] => 184
[5,4,7,6,3,1,2] => 101110 => [1,1,3,1] => 82
[5,4,7,6,3,2,1] => 101111 => [1,1,4] => 26
[5,6,1,2,3,4,7] => 010000 => [1,1,4] => 26
[5,6,1,2,3,7,4] => 010001 => [1,1,3,1] => 82
[5,6,1,2,4,3,7] => 010010 => [1,1,2,1,1] => 184
[5,6,1,2,4,7,3] => 010001 => [1,1,3,1] => 82
[5,6,1,2,7,3,4] => 010010 => [1,1,2,1,1] => 184
[5,6,1,2,7,4,3] => 010011 => [1,1,2,2] => 114
[5,6,1,3,2,4,7] => 010100 => [1,1,1,1,2] => 188
[5,6,1,3,2,7,4] => 010101 => [1,1,1,1,1,1] => 296
[5,6,1,3,4,2,7] => 010010 => [1,1,2,1,1] => 184
[5,6,1,3,4,7,2] => 010001 => [1,1,3,1] => 82
[5,6,1,3,7,2,4] => 010010 => [1,1,2,1,1] => 184
[5,6,1,3,7,4,2] => 010011 => [1,1,2,2] => 114
[5,6,1,4,2,3,7] => 010100 => [1,1,1,1,2] => 188
[5,6,1,4,2,7,3] => 010101 => [1,1,1,1,1,1] => 296
[5,6,1,4,3,2,7] => 010110 => [1,1,1,2,1] => 188
[5,6,1,4,3,7,2] => 010101 => [1,1,1,1,1,1] => 296
[5,6,1,4,7,2,3] => 010010 => [1,1,2,1,1] => 184
[5,6,1,4,7,3,2] => 010011 => [1,1,2,2] => 114
[5,6,1,7,2,3,4] => 010100 => [1,1,1,1,2] => 188
[5,6,1,7,2,4,3] => 010101 => [1,1,1,1,1,1] => 296
[5,6,1,7,3,2,4] => 010110 => [1,1,1,2,1] => 188
[5,6,1,7,3,4,2] => 010101 => [1,1,1,1,1,1] => 296
[5,6,1,7,4,2,3] => 010110 => [1,1,1,2,1] => 188
[5,6,1,7,4,3,2] => 010111 => [1,1,1,3] => 82
[5,6,2,1,3,4,7] => 011000 => [1,2,3] => 48
[5,6,2,1,3,7,4] => 011001 => [1,2,2,1] => 112
[5,6,2,1,4,3,7] => 011010 => [1,2,1,1,1] => 180
[5,6,2,1,4,7,3] => 011001 => [1,2,2,1] => 112
[5,6,2,1,7,3,4] => 011010 => [1,2,1,1,1] => 180
[5,6,2,1,7,4,3] => 011011 => [1,2,1,2] => 112
[5,6,2,3,1,4,7] => 010100 => [1,1,1,1,2] => 188
[5,6,2,3,1,7,4] => 010101 => [1,1,1,1,1,1] => 296
[5,6,2,3,4,1,7] => 010010 => [1,1,2,1,1] => 184
[5,6,2,3,4,7,1] => 010001 => [1,1,3,1] => 82
[5,6,2,3,7,1,4] => 010010 => [1,1,2,1,1] => 184
[5,6,2,3,7,4,1] => 010011 => [1,1,2,2] => 114
[5,6,2,4,1,3,7] => 010100 => [1,1,1,1,2] => 188
[5,6,2,4,1,7,3] => 010101 => [1,1,1,1,1,1] => 296
[5,6,2,4,3,1,7] => 010110 => [1,1,1,2,1] => 188
[5,6,2,4,3,7,1] => 010101 => [1,1,1,1,1,1] => 296
[5,6,2,4,7,1,3] => 010010 => [1,1,2,1,1] => 184
[5,6,2,4,7,3,1] => 010011 => [1,1,2,2] => 114
[5,6,2,7,1,3,4] => 010100 => [1,1,1,1,2] => 188
[5,6,2,7,1,4,3] => 010101 => [1,1,1,1,1,1] => 296
[5,6,2,7,3,1,4] => 010110 => [1,1,1,2,1] => 188
[5,6,2,7,3,4,1] => 010101 => [1,1,1,1,1,1] => 296
[5,6,2,7,4,1,3] => 010110 => [1,1,1,2,1] => 188
[5,6,2,7,4,3,1] => 010111 => [1,1,1,3] => 82
[5,6,3,1,2,4,7] => 011000 => [1,2,3] => 48
[5,6,3,1,2,7,4] => 011001 => [1,2,2,1] => 112
[5,6,3,1,4,2,7] => 011010 => [1,2,1,1,1] => 180
[5,6,3,1,4,7,2] => 011001 => [1,2,2,1] => 112
[5,6,3,1,7,2,4] => 011010 => [1,2,1,1,1] => 180
[5,6,3,1,7,4,2] => 011011 => [1,2,1,2] => 112
[5,6,3,2,1,4,7] => 011100 => [1,3,2] => 48
[5,6,3,2,1,7,4] => 011101 => [1,3,1,1] => 80
[5,6,3,2,4,1,7] => 011010 => [1,2,1,1,1] => 180
[5,6,3,2,4,7,1] => 011001 => [1,2,2,1] => 112
[5,6,3,2,7,1,4] => 011010 => [1,2,1,1,1] => 180
[5,6,3,2,7,4,1] => 011011 => [1,2,1,2] => 112
[5,6,3,4,1,2,7] => 010100 => [1,1,1,1,2] => 188
[5,6,3,4,1,7,2] => 010101 => [1,1,1,1,1,1] => 296
[5,6,3,4,2,1,7] => 010110 => [1,1,1,2,1] => 188
[5,6,3,4,2,7,1] => 010101 => [1,1,1,1,1,1] => 296
[5,6,3,4,7,1,2] => 010010 => [1,1,2,1,1] => 184
[5,6,3,4,7,2,1] => 010011 => [1,1,2,2] => 114
[5,6,3,7,1,2,4] => 010100 => [1,1,1,1,2] => 188
[5,6,3,7,1,4,2] => 010101 => [1,1,1,1,1,1] => 296
[5,6,3,7,2,1,4] => 010110 => [1,1,1,2,1] => 188
[5,6,3,7,2,4,1] => 010101 => [1,1,1,1,1,1] => 296
[5,6,3,7,4,1,2] => 010110 => [1,1,1,2,1] => 188
[5,6,3,7,4,2,1] => 010111 => [1,1,1,3] => 82
[5,6,4,1,2,3,7] => 011000 => [1,2,3] => 48
[5,6,4,1,2,7,3] => 011001 => [1,2,2,1] => 112
[5,6,4,1,3,2,7] => 011010 => [1,2,1,1,1] => 180
[5,6,4,1,3,7,2] => 011001 => [1,2,2,1] => 112
[5,6,4,1,7,2,3] => 011010 => [1,2,1,1,1] => 180
[5,6,4,1,7,3,2] => 011011 => [1,2,1,2] => 112
[5,6,4,2,1,3,7] => 011100 => [1,3,2] => 48
[5,6,4,2,1,7,3] => 011101 => [1,3,1,1] => 80
[5,6,4,2,3,1,7] => 011010 => [1,2,1,1,1] => 180
[5,6,4,2,3,7,1] => 011001 => [1,2,2,1] => 112
[5,6,4,2,7,1,3] => 011010 => [1,2,1,1,1] => 180
[5,6,4,2,7,3,1] => 011011 => [1,2,1,2] => 112
[5,6,4,3,1,2,7] => 011100 => [1,3,2] => 48
[5,6,4,3,1,7,2] => 011101 => [1,3,1,1] => 80
[5,6,4,3,2,1,7] => 011110 => [1,4,1] => 26
[5,6,4,3,2,7,1] => 011101 => [1,3,1,1] => 80
[5,6,4,3,7,1,2] => 011010 => [1,2,1,1,1] => 180
[5,6,4,3,7,2,1] => 011011 => [1,2,1,2] => 112
[5,6,4,7,1,2,3] => 010100 => [1,1,1,1,2] => 188
[5,6,4,7,1,3,2] => 010101 => [1,1,1,1,1,1] => 296
[5,6,4,7,2,1,3] => 010110 => [1,1,1,2,1] => 188
[5,6,4,7,2,3,1] => 010101 => [1,1,1,1,1,1] => 296
[5,6,4,7,3,1,2] => 010110 => [1,1,1,2,1] => 188
[5,6,4,7,3,2,1] => 010111 => [1,1,1,3] => 82
[5,6,7,1,2,3,4] => 001000 => [2,1,3] => 48
[5,6,7,1,2,4,3] => 001001 => [2,1,2,1] => 112
[5,6,7,1,3,2,4] => 001010 => [2,1,1,1,1] => 180
[5,6,7,1,3,4,2] => 001001 => [2,1,2,1] => 112
[5,6,7,1,4,2,3] => 001010 => [2,1,1,1,1] => 180
[5,6,7,1,4,3,2] => 001011 => [2,1,1,2] => 112
[5,6,7,2,1,3,4] => 001100 => [2,2,2] => 67
[5,6,7,2,1,4,3] => 001101 => [2,2,1,1] => 110
[5,6,7,2,3,1,4] => 001010 => [2,1,1,1,1] => 180
[5,6,7,2,3,4,1] => 001001 => [2,1,2,1] => 112
[5,6,7,2,4,1,3] => 001010 => [2,1,1,1,1] => 180
[5,6,7,2,4,3,1] => 001011 => [2,1,1,2] => 112
[5,6,7,3,1,2,4] => 001100 => [2,2,2] => 67
[5,6,7,3,1,4,2] => 001101 => [2,2,1,1] => 110
[5,6,7,3,2,1,4] => 001110 => [2,3,1] => 48
[5,6,7,3,2,4,1] => 001101 => [2,2,1,1] => 110
[5,6,7,3,4,1,2] => 001010 => [2,1,1,1,1] => 180
[5,6,7,3,4,2,1] => 001011 => [2,1,1,2] => 112
[5,6,7,4,1,2,3] => 001100 => [2,2,2] => 67
[5,6,7,4,1,3,2] => 001101 => [2,2,1,1] => 110
[5,6,7,4,2,1,3] => 001110 => [2,3,1] => 48
[5,6,7,4,2,3,1] => 001101 => [2,2,1,1] => 110
[5,6,7,4,3,1,2] => 001110 => [2,3,1] => 48
[5,6,7,4,3,2,1] => 001111 => [2,4] => 15
[5,7,1,2,3,4,6] => 010000 => [1,1,4] => 26
[5,7,1,2,3,6,4] => 010001 => [1,1,3,1] => 82
[5,7,1,2,4,3,6] => 010010 => [1,1,2,1,1] => 184
[5,7,1,2,4,6,3] => 010001 => [1,1,3,1] => 82
[5,7,1,2,6,3,4] => 010010 => [1,1,2,1,1] => 184
[5,7,1,2,6,4,3] => 010011 => [1,1,2,2] => 114
[5,7,1,3,2,4,6] => 010100 => [1,1,1,1,2] => 188
[5,7,1,3,2,6,4] => 010101 => [1,1,1,1,1,1] => 296
[5,7,1,3,4,2,6] => 010010 => [1,1,2,1,1] => 184
[5,7,1,3,4,6,2] => 010001 => [1,1,3,1] => 82
[5,7,1,3,6,2,4] => 010010 => [1,1,2,1,1] => 184
[5,7,1,3,6,4,2] => 010011 => [1,1,2,2] => 114
[5,7,1,4,2,3,6] => 010100 => [1,1,1,1,2] => 188
[5,7,1,4,2,6,3] => 010101 => [1,1,1,1,1,1] => 296
[5,7,1,4,3,2,6] => 010110 => [1,1,1,2,1] => 188
[5,7,1,4,3,6,2] => 010101 => [1,1,1,1,1,1] => 296
[5,7,1,4,6,2,3] => 010010 => [1,1,2,1,1] => 184
[5,7,1,4,6,3,2] => 010011 => [1,1,2,2] => 114
[5,7,1,6,2,3,4] => 010100 => [1,1,1,1,2] => 188
[5,7,1,6,2,4,3] => 010101 => [1,1,1,1,1,1] => 296
[5,7,1,6,3,2,4] => 010110 => [1,1,1,2,1] => 188
[5,7,1,6,3,4,2] => 010101 => [1,1,1,1,1,1] => 296
[5,7,1,6,4,2,3] => 010110 => [1,1,1,2,1] => 188
[5,7,1,6,4,3,2] => 010111 => [1,1,1,3] => 82
[5,7,2,1,3,4,6] => 011000 => [1,2,3] => 48
[5,7,2,1,3,6,4] => 011001 => [1,2,2,1] => 112
[5,7,2,1,4,3,6] => 011010 => [1,2,1,1,1] => 180
[5,7,2,1,4,6,3] => 011001 => [1,2,2,1] => 112
[5,7,2,1,6,3,4] => 011010 => [1,2,1,1,1] => 180
[5,7,2,1,6,4,3] => 011011 => [1,2,1,2] => 112
[5,7,2,3,1,4,6] => 010100 => [1,1,1,1,2] => 188
[5,7,2,3,1,6,4] => 010101 => [1,1,1,1,1,1] => 296
[5,7,2,3,4,1,6] => 010010 => [1,1,2,1,1] => 184
[5,7,2,3,4,6,1] => 010001 => [1,1,3,1] => 82
[5,7,2,3,6,1,4] => 010010 => [1,1,2,1,1] => 184
[5,7,2,3,6,4,1] => 010011 => [1,1,2,2] => 114
[5,7,2,4,1,3,6] => 010100 => [1,1,1,1,2] => 188
[5,7,2,4,1,6,3] => 010101 => [1,1,1,1,1,1] => 296
[5,7,2,4,3,1,6] => 010110 => [1,1,1,2,1] => 188
[5,7,2,4,3,6,1] => 010101 => [1,1,1,1,1,1] => 296
[5,7,2,4,6,1,3] => 010010 => [1,1,2,1,1] => 184
[5,7,2,4,6,3,1] => 010011 => [1,1,2,2] => 114
[5,7,2,6,1,3,4] => 010100 => [1,1,1,1,2] => 188
[5,7,2,6,1,4,3] => 010101 => [1,1,1,1,1,1] => 296
[5,7,2,6,3,1,4] => 010110 => [1,1,1,2,1] => 188
[5,7,2,6,3,4,1] => 010101 => [1,1,1,1,1,1] => 296
[5,7,2,6,4,1,3] => 010110 => [1,1,1,2,1] => 188
[5,7,2,6,4,3,1] => 010111 => [1,1,1,3] => 82
[5,7,3,1,2,4,6] => 011000 => [1,2,3] => 48
[5,7,3,1,2,6,4] => 011001 => [1,2,2,1] => 112
[5,7,3,1,4,2,6] => 011010 => [1,2,1,1,1] => 180
[5,7,3,1,4,6,2] => 011001 => [1,2,2,1] => 112
[5,7,3,1,6,2,4] => 011010 => [1,2,1,1,1] => 180
[5,7,3,1,6,4,2] => 011011 => [1,2,1,2] => 112
[5,7,3,2,1,4,6] => 011100 => [1,3,2] => 48
[5,7,3,2,1,6,4] => 011101 => [1,3,1,1] => 80
[5,7,3,2,4,1,6] => 011010 => [1,2,1,1,1] => 180
[5,7,3,2,4,6,1] => 011001 => [1,2,2,1] => 112
[5,7,3,2,6,1,4] => 011010 => [1,2,1,1,1] => 180
[5,7,3,2,6,4,1] => 011011 => [1,2,1,2] => 112
[5,7,3,4,1,2,6] => 010100 => [1,1,1,1,2] => 188
[5,7,3,4,1,6,2] => 010101 => [1,1,1,1,1,1] => 296
[5,7,3,4,2,1,6] => 010110 => [1,1,1,2,1] => 188
[5,7,3,4,2,6,1] => 010101 => [1,1,1,1,1,1] => 296
[5,7,3,4,6,1,2] => 010010 => [1,1,2,1,1] => 184
[5,7,3,4,6,2,1] => 010011 => [1,1,2,2] => 114
[5,7,3,6,1,2,4] => 010100 => [1,1,1,1,2] => 188
[5,7,3,6,1,4,2] => 010101 => [1,1,1,1,1,1] => 296
[5,7,3,6,2,1,4] => 010110 => [1,1,1,2,1] => 188
[5,7,3,6,2,4,1] => 010101 => [1,1,1,1,1,1] => 296
[5,7,3,6,4,1,2] => 010110 => [1,1,1,2,1] => 188
[5,7,3,6,4,2,1] => 010111 => [1,1,1,3] => 82
[5,7,4,1,2,3,6] => 011000 => [1,2,3] => 48
[5,7,4,1,2,6,3] => 011001 => [1,2,2,1] => 112
[5,7,4,1,3,2,6] => 011010 => [1,2,1,1,1] => 180
[5,7,4,1,3,6,2] => 011001 => [1,2,2,1] => 112
[5,7,4,1,6,2,3] => 011010 => [1,2,1,1,1] => 180
[5,7,4,1,6,3,2] => 011011 => [1,2,1,2] => 112
[5,7,4,2,1,3,6] => 011100 => [1,3,2] => 48
[5,7,4,2,1,6,3] => 011101 => [1,3,1,1] => 80
[5,7,4,2,3,1,6] => 011010 => [1,2,1,1,1] => 180
[5,7,4,2,3,6,1] => 011001 => [1,2,2,1] => 112
[5,7,4,2,6,1,3] => 011010 => [1,2,1,1,1] => 180
[5,7,4,2,6,3,1] => 011011 => [1,2,1,2] => 112
[5,7,4,3,1,2,6] => 011100 => [1,3,2] => 48
[5,7,4,3,1,6,2] => 011101 => [1,3,1,1] => 80
[5,7,4,3,2,1,6] => 011110 => [1,4,1] => 26
[5,7,4,3,2,6,1] => 011101 => [1,3,1,1] => 80
[5,7,4,3,6,1,2] => 011010 => [1,2,1,1,1] => 180
[5,7,4,3,6,2,1] => 011011 => [1,2,1,2] => 112
[5,7,4,6,1,2,3] => 010100 => [1,1,1,1,2] => 188
[5,7,4,6,1,3,2] => 010101 => [1,1,1,1,1,1] => 296
[5,7,4,6,2,1,3] => 010110 => [1,1,1,2,1] => 188
[5,7,4,6,2,3,1] => 010101 => [1,1,1,1,1,1] => 296
[5,7,4,6,3,1,2] => 010110 => [1,1,1,2,1] => 188
[5,7,4,6,3,2,1] => 010111 => [1,1,1,3] => 82
[5,7,6,1,2,3,4] => 011000 => [1,2,3] => 48
[5,7,6,1,2,4,3] => 011001 => [1,2,2,1] => 112
[5,7,6,1,3,2,4] => 011010 => [1,2,1,1,1] => 180
[5,7,6,1,3,4,2] => 011001 => [1,2,2,1] => 112
[5,7,6,1,4,2,3] => 011010 => [1,2,1,1,1] => 180
[5,7,6,1,4,3,2] => 011011 => [1,2,1,2] => 112
[5,7,6,2,1,3,4] => 011100 => [1,3,2] => 48
[5,7,6,2,1,4,3] => 011101 => [1,3,1,1] => 80
[5,7,6,2,3,1,4] => 011010 => [1,2,1,1,1] => 180
[5,7,6,2,3,4,1] => 011001 => [1,2,2,1] => 112
[5,7,6,2,4,1,3] => 011010 => [1,2,1,1,1] => 180
[5,7,6,2,4,3,1] => 011011 => [1,2,1,2] => 112
[5,7,6,3,1,2,4] => 011100 => [1,3,2] => 48
[5,7,6,3,1,4,2] => 011101 => [1,3,1,1] => 80
[5,7,6,3,2,1,4] => 011110 => [1,4,1] => 26
[5,7,6,3,2,4,1] => 011101 => [1,3,1,1] => 80
[5,7,6,3,4,1,2] => 011010 => [1,2,1,1,1] => 180
[5,7,6,3,4,2,1] => 011011 => [1,2,1,2] => 112
[5,7,6,4,1,2,3] => 011100 => [1,3,2] => 48
[5,7,6,4,1,3,2] => 011101 => [1,3,1,1] => 80
[5,7,6,4,2,1,3] => 011110 => [1,4,1] => 26
[5,7,6,4,2,3,1] => 011101 => [1,3,1,1] => 80
[5,7,6,4,3,1,2] => 011110 => [1,4,1] => 26
[5,7,6,4,3,2,1] => 011111 => [1,5] => 6
[6,1,2,3,4,5,7] => 100000 => [1,5] => 6
[6,1,2,3,4,7,5] => 100001 => [1,4,1] => 26
[6,1,2,3,5,4,7] => 100010 => [1,3,1,1] => 80
[6,1,2,3,5,7,4] => 100001 => [1,4,1] => 26
[6,1,2,3,7,4,5] => 100010 => [1,3,1,1] => 80
[6,1,2,3,7,5,4] => 100011 => [1,3,2] => 48
[6,1,2,4,3,5,7] => 100100 => [1,2,1,2] => 112
[6,1,2,4,3,7,5] => 100101 => [1,2,1,1,1] => 180
[6,1,2,4,5,3,7] => 100010 => [1,3,1,1] => 80
[6,1,2,4,5,7,3] => 100001 => [1,4,1] => 26
[6,1,2,4,7,3,5] => 100010 => [1,3,1,1] => 80
[6,1,2,4,7,5,3] => 100011 => [1,3,2] => 48
[6,1,2,5,3,4,7] => 100100 => [1,2,1,2] => 112
[6,1,2,5,3,7,4] => 100101 => [1,2,1,1,1] => 180
[6,1,2,5,4,3,7] => 100110 => [1,2,2,1] => 112
[6,1,2,5,4,7,3] => 100101 => [1,2,1,1,1] => 180
[6,1,2,5,7,3,4] => 100010 => [1,3,1,1] => 80
[6,1,2,5,7,4,3] => 100011 => [1,3,2] => 48
[6,1,2,7,3,4,5] => 100100 => [1,2,1,2] => 112
[6,1,2,7,3,5,4] => 100101 => [1,2,1,1,1] => 180
[6,1,2,7,4,3,5] => 100110 => [1,2,2,1] => 112
[6,1,2,7,4,5,3] => 100101 => [1,2,1,1,1] => 180
[6,1,2,7,5,3,4] => 100110 => [1,2,2,1] => 112
[6,1,2,7,5,4,3] => 100111 => [1,2,3] => 48
[6,1,3,2,4,5,7] => 101000 => [1,1,1,3] => 82
[6,1,3,2,4,7,5] => 101001 => [1,1,1,2,1] => 188
[6,1,3,2,5,4,7] => 101010 => [1,1,1,1,1,1] => 296
[6,1,3,2,5,7,4] => 101001 => [1,1,1,2,1] => 188
[6,1,3,2,7,4,5] => 101010 => [1,1,1,1,1,1] => 296
[6,1,3,2,7,5,4] => 101011 => [1,1,1,1,2] => 188
[6,1,3,4,2,5,7] => 100100 => [1,2,1,2] => 112
[6,1,3,4,2,7,5] => 100101 => [1,2,1,1,1] => 180
[6,1,3,4,5,2,7] => 100010 => [1,3,1,1] => 80
[6,1,3,4,5,7,2] => 100001 => [1,4,1] => 26
[6,1,3,4,7,2,5] => 100010 => [1,3,1,1] => 80
[6,1,3,4,7,5,2] => 100011 => [1,3,2] => 48
[6,1,3,5,2,4,7] => 100100 => [1,2,1,2] => 112
[6,1,3,5,2,7,4] => 100101 => [1,2,1,1,1] => 180
[6,1,3,5,4,2,7] => 100110 => [1,2,2,1] => 112
[6,1,3,5,4,7,2] => 100101 => [1,2,1,1,1] => 180
[6,1,3,5,7,2,4] => 100010 => [1,3,1,1] => 80
[6,1,3,5,7,4,2] => 100011 => [1,3,2] => 48
[6,1,3,7,2,4,5] => 100100 => [1,2,1,2] => 112
[6,1,3,7,2,5,4] => 100101 => [1,2,1,1,1] => 180
[6,1,3,7,4,2,5] => 100110 => [1,2,2,1] => 112
[6,1,3,7,4,5,2] => 100101 => [1,2,1,1,1] => 180
[6,1,3,7,5,2,4] => 100110 => [1,2,2,1] => 112
[6,1,3,7,5,4,2] => 100111 => [1,2,3] => 48
[6,1,4,2,3,5,7] => 101000 => [1,1,1,3] => 82
[6,1,4,2,3,7,5] => 101001 => [1,1,1,2,1] => 188
[6,1,4,2,5,3,7] => 101010 => [1,1,1,1,1,1] => 296
[6,1,4,2,5,7,3] => 101001 => [1,1,1,2,1] => 188
[6,1,4,2,7,3,5] => 101010 => [1,1,1,1,1,1] => 296
[6,1,4,2,7,5,3] => 101011 => [1,1,1,1,2] => 188
[6,1,4,3,2,5,7] => 101100 => [1,1,2,2] => 114
[6,1,4,3,2,7,5] => 101101 => [1,1,2,1,1] => 184
[6,1,4,3,5,2,7] => 101010 => [1,1,1,1,1,1] => 296
[6,1,4,3,5,7,2] => 101001 => [1,1,1,2,1] => 188
[6,1,4,3,7,2,5] => 101010 => [1,1,1,1,1,1] => 296
[6,1,4,3,7,5,2] => 101011 => [1,1,1,1,2] => 188
[6,1,4,5,2,3,7] => 100100 => [1,2,1,2] => 112
[6,1,4,5,2,7,3] => 100101 => [1,2,1,1,1] => 180
[6,1,4,5,3,2,7] => 100110 => [1,2,2,1] => 112
[6,1,4,5,3,7,2] => 100101 => [1,2,1,1,1] => 180
[6,1,4,5,7,2,3] => 100010 => [1,3,1,1] => 80
[6,1,4,5,7,3,2] => 100011 => [1,3,2] => 48
[6,1,4,7,2,3,5] => 100100 => [1,2,1,2] => 112
[6,1,4,7,2,5,3] => 100101 => [1,2,1,1,1] => 180
[6,1,4,7,3,2,5] => 100110 => [1,2,2,1] => 112
[6,1,4,7,3,5,2] => 100101 => [1,2,1,1,1] => 180
[6,1,4,7,5,2,3] => 100110 => [1,2,2,1] => 112
[6,1,4,7,5,3,2] => 100111 => [1,2,3] => 48
[6,1,5,2,3,4,7] => 101000 => [1,1,1,3] => 82
[6,1,5,2,3,7,4] => 101001 => [1,1,1,2,1] => 188
[6,1,5,2,4,3,7] => 101010 => [1,1,1,1,1,1] => 296
[6,1,5,2,4,7,3] => 101001 => [1,1,1,2,1] => 188
[6,1,5,2,7,3,4] => 101010 => [1,1,1,1,1,1] => 296
[6,1,5,2,7,4,3] => 101011 => [1,1,1,1,2] => 188
[6,1,5,3,2,4,7] => 101100 => [1,1,2,2] => 114
[6,1,5,3,2,7,4] => 101101 => [1,1,2,1,1] => 184
[6,1,5,3,4,2,7] => 101010 => [1,1,1,1,1,1] => 296
[6,1,5,3,4,7,2] => 101001 => [1,1,1,2,1] => 188
[6,1,5,3,7,2,4] => 101010 => [1,1,1,1,1,1] => 296
[6,1,5,3,7,4,2] => 101011 => [1,1,1,1,2] => 188
[6,1,5,4,2,3,7] => 101100 => [1,1,2,2] => 114
[6,1,5,4,2,7,3] => 101101 => [1,1,2,1,1] => 184
[6,1,5,4,3,2,7] => 101110 => [1,1,3,1] => 82
[6,1,5,4,3,7,2] => 101101 => [1,1,2,1,1] => 184
[6,1,5,4,7,2,3] => 101010 => [1,1,1,1,1,1] => 296
[6,1,5,4,7,3,2] => 101011 => [1,1,1,1,2] => 188
[6,1,5,7,2,3,4] => 100100 => [1,2,1,2] => 112
[6,1,5,7,2,4,3] => 100101 => [1,2,1,1,1] => 180
[6,1,5,7,3,2,4] => 100110 => [1,2,2,1] => 112
[6,1,5,7,3,4,2] => 100101 => [1,2,1,1,1] => 180
[6,1,5,7,4,2,3] => 100110 => [1,2,2,1] => 112
[6,1,5,7,4,3,2] => 100111 => [1,2,3] => 48
[6,1,7,2,3,4,5] => 101000 => [1,1,1,3] => 82
[6,1,7,2,3,5,4] => 101001 => [1,1,1,2,1] => 188
[6,1,7,2,4,3,5] => 101010 => [1,1,1,1,1,1] => 296
[6,1,7,2,4,5,3] => 101001 => [1,1,1,2,1] => 188
[6,1,7,2,5,3,4] => 101010 => [1,1,1,1,1,1] => 296
[6,1,7,2,5,4,3] => 101011 => [1,1,1,1,2] => 188
[6,1,7,3,2,4,5] => 101100 => [1,1,2,2] => 114
[6,1,7,3,2,5,4] => 101101 => [1,1,2,1,1] => 184
[6,1,7,3,4,2,5] => 101010 => [1,1,1,1,1,1] => 296
[6,1,7,3,4,5,2] => 101001 => [1,1,1,2,1] => 188
[6,1,7,3,5,2,4] => 101010 => [1,1,1,1,1,1] => 296
[6,1,7,3,5,4,2] => 101011 => [1,1,1,1,2] => 188
[6,1,7,4,2,3,5] => 101100 => [1,1,2,2] => 114
[6,1,7,4,2,5,3] => 101101 => [1,1,2,1,1] => 184
[6,1,7,4,3,2,5] => 101110 => [1,1,3,1] => 82
[6,1,7,4,3,5,2] => 101101 => [1,1,2,1,1] => 184
[6,1,7,4,5,2,3] => 101010 => [1,1,1,1,1,1] => 296
[6,1,7,4,5,3,2] => 101011 => [1,1,1,1,2] => 188
[6,1,7,5,2,3,4] => 101100 => [1,1,2,2] => 114
[6,1,7,5,2,4,3] => 101101 => [1,1,2,1,1] => 184
[6,1,7,5,3,2,4] => 101110 => [1,1,3,1] => 82
[6,1,7,5,3,4,2] => 101101 => [1,1,2,1,1] => 184
[6,1,7,5,4,2,3] => 101110 => [1,1,3,1] => 82
[6,1,7,5,4,3,2] => 101111 => [1,1,4] => 26
[6,2,1,3,4,5,7] => 110000 => [2,4] => 15
[6,2,1,3,4,7,5] => 110001 => [2,3,1] => 48
[6,2,1,3,5,4,7] => 110010 => [2,2,1,1] => 110
[6,2,1,3,5,7,4] => 110001 => [2,3,1] => 48
[6,2,1,3,7,4,5] => 110010 => [2,2,1,1] => 110
[6,2,1,3,7,5,4] => 110011 => [2,2,2] => 67
[6,2,1,4,3,5,7] => 110100 => [2,1,1,2] => 112
[6,2,1,4,3,7,5] => 110101 => [2,1,1,1,1] => 180
[6,2,1,4,5,3,7] => 110010 => [2,2,1,1] => 110
[6,2,1,4,5,7,3] => 110001 => [2,3,1] => 48
[6,2,1,4,7,3,5] => 110010 => [2,2,1,1] => 110
[6,2,1,4,7,5,3] => 110011 => [2,2,2] => 67
[6,2,1,5,3,4,7] => 110100 => [2,1,1,2] => 112
[6,2,1,5,3,7,4] => 110101 => [2,1,1,1,1] => 180
[6,2,1,5,4,3,7] => 110110 => [2,1,2,1] => 112
[6,2,1,5,4,7,3] => 110101 => [2,1,1,1,1] => 180
[6,2,1,5,7,3,4] => 110010 => [2,2,1,1] => 110
[6,2,1,5,7,4,3] => 110011 => [2,2,2] => 67
[6,2,1,7,3,4,5] => 110100 => [2,1,1,2] => 112
[6,2,1,7,3,5,4] => 110101 => [2,1,1,1,1] => 180
[6,2,1,7,4,3,5] => 110110 => [2,1,2,1] => 112
[6,2,1,7,4,5,3] => 110101 => [2,1,1,1,1] => 180
[6,2,1,7,5,3,4] => 110110 => [2,1,2,1] => 112
[6,2,1,7,5,4,3] => 110111 => [2,1,3] => 48
[6,2,3,1,4,5,7] => 101000 => [1,1,1,3] => 82
[6,2,3,1,4,7,5] => 101001 => [1,1,1,2,1] => 188
[6,2,3,1,5,4,7] => 101010 => [1,1,1,1,1,1] => 296
[6,2,3,1,5,7,4] => 101001 => [1,1,1,2,1] => 188
[6,2,3,1,7,4,5] => 101010 => [1,1,1,1,1,1] => 296
[6,2,3,1,7,5,4] => 101011 => [1,1,1,1,2] => 188
[6,2,3,4,1,5,7] => 100100 => [1,2,1,2] => 112
[6,2,3,4,1,7,5] => 100101 => [1,2,1,1,1] => 180
[6,2,3,4,5,1,7] => 100010 => [1,3,1,1] => 80
[6,2,3,4,5,7,1] => 100001 => [1,4,1] => 26
[6,2,3,4,7,1,5] => 100010 => [1,3,1,1] => 80
[6,2,3,4,7,5,1] => 100011 => [1,3,2] => 48
[6,2,3,5,1,4,7] => 100100 => [1,2,1,2] => 112
[6,2,3,5,1,7,4] => 100101 => [1,2,1,1,1] => 180
[6,2,3,5,4,1,7] => 100110 => [1,2,2,1] => 112
[6,2,3,5,4,7,1] => 100101 => [1,2,1,1,1] => 180
[6,2,3,5,7,1,4] => 100010 => [1,3,1,1] => 80
[6,2,3,5,7,4,1] => 100011 => [1,3,2] => 48
[6,2,3,7,1,4,5] => 100100 => [1,2,1,2] => 112
[6,2,3,7,1,5,4] => 100101 => [1,2,1,1,1] => 180
[6,2,3,7,4,1,5] => 100110 => [1,2,2,1] => 112
[6,2,3,7,4,5,1] => 100101 => [1,2,1,1,1] => 180
[6,2,3,7,5,1,4] => 100110 => [1,2,2,1] => 112
[6,2,3,7,5,4,1] => 100111 => [1,2,3] => 48
[6,2,4,1,3,5,7] => 101000 => [1,1,1,3] => 82
[6,2,4,1,3,7,5] => 101001 => [1,1,1,2,1] => 188
[6,2,4,1,5,3,7] => 101010 => [1,1,1,1,1,1] => 296
[6,2,4,1,5,7,3] => 101001 => [1,1,1,2,1] => 188
[6,2,4,1,7,3,5] => 101010 => [1,1,1,1,1,1] => 296
[6,2,4,1,7,5,3] => 101011 => [1,1,1,1,2] => 188
[6,2,4,3,1,5,7] => 101100 => [1,1,2,2] => 114
[6,2,4,3,1,7,5] => 101101 => [1,1,2,1,1] => 184
[6,2,4,3,5,1,7] => 101010 => [1,1,1,1,1,1] => 296
[6,2,4,3,5,7,1] => 101001 => [1,1,1,2,1] => 188
[6,2,4,3,7,1,5] => 101010 => [1,1,1,1,1,1] => 296
[6,2,4,3,7,5,1] => 101011 => [1,1,1,1,2] => 188
[6,2,4,5,1,3,7] => 100100 => [1,2,1,2] => 112
[6,2,4,5,1,7,3] => 100101 => [1,2,1,1,1] => 180
[6,2,4,5,3,1,7] => 100110 => [1,2,2,1] => 112
[6,2,4,5,3,7,1] => 100101 => [1,2,1,1,1] => 180
[6,2,4,5,7,1,3] => 100010 => [1,3,1,1] => 80
[6,2,4,5,7,3,1] => 100011 => [1,3,2] => 48
[6,2,4,7,1,3,5] => 100100 => [1,2,1,2] => 112
[6,2,4,7,1,5,3] => 100101 => [1,2,1,1,1] => 180
[6,2,4,7,3,1,5] => 100110 => [1,2,2,1] => 112
[6,2,4,7,3,5,1] => 100101 => [1,2,1,1,1] => 180
[6,2,4,7,5,1,3] => 100110 => [1,2,2,1] => 112
[6,2,4,7,5,3,1] => 100111 => [1,2,3] => 48
[6,2,5,1,3,4,7] => 101000 => [1,1,1,3] => 82
[6,2,5,1,3,7,4] => 101001 => [1,1,1,2,1] => 188
[6,2,5,1,4,3,7] => 101010 => [1,1,1,1,1,1] => 296
[6,2,5,1,4,7,3] => 101001 => [1,1,1,2,1] => 188
[6,2,5,1,7,3,4] => 101010 => [1,1,1,1,1,1] => 296
[6,2,5,1,7,4,3] => 101011 => [1,1,1,1,2] => 188
[6,2,5,3,1,4,7] => 101100 => [1,1,2,2] => 114
[6,2,5,3,1,7,4] => 101101 => [1,1,2,1,1] => 184
[6,2,5,3,4,1,7] => 101010 => [1,1,1,1,1,1] => 296
[6,2,5,3,4,7,1] => 101001 => [1,1,1,2,1] => 188
[6,2,5,3,7,1,4] => 101010 => [1,1,1,1,1,1] => 296
[6,2,5,3,7,4,1] => 101011 => [1,1,1,1,2] => 188
[6,2,5,4,1,3,7] => 101100 => [1,1,2,2] => 114
[6,2,5,4,1,7,3] => 101101 => [1,1,2,1,1] => 184
[6,2,5,4,3,1,7] => 101110 => [1,1,3,1] => 82
[6,2,5,4,3,7,1] => 101101 => [1,1,2,1,1] => 184
[6,2,5,4,7,1,3] => 101010 => [1,1,1,1,1,1] => 296
[6,2,5,4,7,3,1] => 101011 => [1,1,1,1,2] => 188
[6,2,5,7,1,3,4] => 100100 => [1,2,1,2] => 112
[6,2,5,7,1,4,3] => 100101 => [1,2,1,1,1] => 180
[6,2,5,7,3,1,4] => 100110 => [1,2,2,1] => 112
[6,2,5,7,3,4,1] => 100101 => [1,2,1,1,1] => 180
[6,2,5,7,4,1,3] => 100110 => [1,2,2,1] => 112
[6,2,5,7,4,3,1] => 100111 => [1,2,3] => 48
[6,2,7,1,3,4,5] => 101000 => [1,1,1,3] => 82
[6,2,7,1,3,5,4] => 101001 => [1,1,1,2,1] => 188
[6,2,7,1,4,3,5] => 101010 => [1,1,1,1,1,1] => 296
[6,2,7,1,4,5,3] => 101001 => [1,1,1,2,1] => 188
[6,2,7,1,5,3,4] => 101010 => [1,1,1,1,1,1] => 296
[6,2,7,1,5,4,3] => 101011 => [1,1,1,1,2] => 188
[6,2,7,3,1,4,5] => 101100 => [1,1,2,2] => 114
[6,2,7,3,1,5,4] => 101101 => [1,1,2,1,1] => 184
[6,2,7,3,4,1,5] => 101010 => [1,1,1,1,1,1] => 296
[6,2,7,3,4,5,1] => 101001 => [1,1,1,2,1] => 188
[6,2,7,3,5,1,4] => 101010 => [1,1,1,1,1,1] => 296
[6,2,7,3,5,4,1] => 101011 => [1,1,1,1,2] => 188
[6,2,7,4,1,3,5] => 101100 => [1,1,2,2] => 114
[6,2,7,4,1,5,3] => 101101 => [1,1,2,1,1] => 184
[6,2,7,4,3,1,5] => 101110 => [1,1,3,1] => 82
[6,2,7,4,3,5,1] => 101101 => [1,1,2,1,1] => 184
[6,2,7,4,5,1,3] => 101010 => [1,1,1,1,1,1] => 296
[6,2,7,4,5,3,1] => 101011 => [1,1,1,1,2] => 188
[6,2,7,5,1,3,4] => 101100 => [1,1,2,2] => 114
[6,2,7,5,1,4,3] => 101101 => [1,1,2,1,1] => 184
[6,2,7,5,3,1,4] => 101110 => [1,1,3,1] => 82
[6,2,7,5,3,4,1] => 101101 => [1,1,2,1,1] => 184
[6,2,7,5,4,1,3] => 101110 => [1,1,3,1] => 82
[6,2,7,5,4,3,1] => 101111 => [1,1,4] => 26
[6,3,1,2,4,5,7] => 110000 => [2,4] => 15
[6,3,1,2,4,7,5] => 110001 => [2,3,1] => 48
[6,3,1,2,5,4,7] => 110010 => [2,2,1,1] => 110
[6,3,1,2,5,7,4] => 110001 => [2,3,1] => 48
[6,3,1,2,7,4,5] => 110010 => [2,2,1,1] => 110
[6,3,1,2,7,5,4] => 110011 => [2,2,2] => 67
[6,3,1,4,2,5,7] => 110100 => [2,1,1,2] => 112
[6,3,1,4,2,7,5] => 110101 => [2,1,1,1,1] => 180
[6,3,1,4,5,2,7] => 110010 => [2,2,1,1] => 110
[6,3,1,4,5,7,2] => 110001 => [2,3,1] => 48
[6,3,1,4,7,2,5] => 110010 => [2,2,1,1] => 110
[6,3,1,4,7,5,2] => 110011 => [2,2,2] => 67
[6,3,1,5,2,4,7] => 110100 => [2,1,1,2] => 112
[6,3,1,5,2,7,4] => 110101 => [2,1,1,1,1] => 180
[6,3,1,5,4,2,7] => 110110 => [2,1,2,1] => 112
[6,3,1,5,4,7,2] => 110101 => [2,1,1,1,1] => 180
[6,3,1,5,7,2,4] => 110010 => [2,2,1,1] => 110
[6,3,1,5,7,4,2] => 110011 => [2,2,2] => 67
[6,3,1,7,2,4,5] => 110100 => [2,1,1,2] => 112
[6,3,1,7,2,5,4] => 110101 => [2,1,1,1,1] => 180
[6,3,1,7,4,2,5] => 110110 => [2,1,2,1] => 112
[6,3,1,7,4,5,2] => 110101 => [2,1,1,1,1] => 180
[6,3,1,7,5,2,4] => 110110 => [2,1,2,1] => 112
[6,3,1,7,5,4,2] => 110111 => [2,1,3] => 48
[6,3,2,1,4,5,7] => 111000 => [3,3] => 20
[6,3,2,1,4,7,5] => 111001 => [3,2,1] => 48
[6,3,2,1,5,4,7] => 111010 => [3,1,1,1] => 80
[6,3,2,1,5,7,4] => 111001 => [3,2,1] => 48
[6,3,2,1,7,4,5] => 111010 => [3,1,1,1] => 80
[6,3,2,1,7,5,4] => 111011 => [3,1,2] => 48
[6,3,2,4,1,5,7] => 110100 => [2,1,1,2] => 112
[6,3,2,4,1,7,5] => 110101 => [2,1,1,1,1] => 180
[6,3,2,4,5,1,7] => 110010 => [2,2,1,1] => 110
[6,3,2,4,5,7,1] => 110001 => [2,3,1] => 48
[6,3,2,4,7,1,5] => 110010 => [2,2,1,1] => 110
[6,3,2,4,7,5,1] => 110011 => [2,2,2] => 67
[6,3,2,5,1,4,7] => 110100 => [2,1,1,2] => 112
[6,3,2,5,1,7,4] => 110101 => [2,1,1,1,1] => 180
[6,3,2,5,4,1,7] => 110110 => [2,1,2,1] => 112
[6,3,2,5,4,7,1] => 110101 => [2,1,1,1,1] => 180
[6,3,2,5,7,1,4] => 110010 => [2,2,1,1] => 110
[6,3,2,5,7,4,1] => 110011 => [2,2,2] => 67
[6,3,2,7,1,4,5] => 110100 => [2,1,1,2] => 112
[6,3,2,7,1,5,4] => 110101 => [2,1,1,1,1] => 180
[6,3,2,7,4,1,5] => 110110 => [2,1,2,1] => 112
[6,3,2,7,4,5,1] => 110101 => [2,1,1,1,1] => 180
[6,3,2,7,5,1,4] => 110110 => [2,1,2,1] => 112
[6,3,2,7,5,4,1] => 110111 => [2,1,3] => 48
[6,3,4,1,2,5,7] => 101000 => [1,1,1,3] => 82
[6,3,4,1,2,7,5] => 101001 => [1,1,1,2,1] => 188
[6,3,4,1,5,2,7] => 101010 => [1,1,1,1,1,1] => 296
[6,3,4,1,5,7,2] => 101001 => [1,1,1,2,1] => 188
[6,3,4,1,7,2,5] => 101010 => [1,1,1,1,1,1] => 296
[6,3,4,1,7,5,2] => 101011 => [1,1,1,1,2] => 188
[6,3,4,2,1,5,7] => 101100 => [1,1,2,2] => 114
[6,3,4,2,1,7,5] => 101101 => [1,1,2,1,1] => 184
[6,3,4,2,5,1,7] => 101010 => [1,1,1,1,1,1] => 296
[6,3,4,2,5,7,1] => 101001 => [1,1,1,2,1] => 188
[6,3,4,2,7,1,5] => 101010 => [1,1,1,1,1,1] => 296
[6,3,4,2,7,5,1] => 101011 => [1,1,1,1,2] => 188
[6,3,4,5,1,2,7] => 100100 => [1,2,1,2] => 112
[6,3,4,5,1,7,2] => 100101 => [1,2,1,1,1] => 180
[6,3,4,5,2,1,7] => 100110 => [1,2,2,1] => 112
[6,3,4,5,2,7,1] => 100101 => [1,2,1,1,1] => 180
[6,3,4,5,7,1,2] => 100010 => [1,3,1,1] => 80
[6,3,4,5,7,2,1] => 100011 => [1,3,2] => 48
[6,3,4,7,1,2,5] => 100100 => [1,2,1,2] => 112
[6,3,4,7,1,5,2] => 100101 => [1,2,1,1,1] => 180
[6,3,4,7,2,1,5] => 100110 => [1,2,2,1] => 112
[6,3,4,7,2,5,1] => 100101 => [1,2,1,1,1] => 180
[6,3,4,7,5,1,2] => 100110 => [1,2,2,1] => 112
[6,3,4,7,5,2,1] => 100111 => [1,2,3] => 48
[6,3,5,1,2,4,7] => 101000 => [1,1,1,3] => 82
[6,3,5,1,2,7,4] => 101001 => [1,1,1,2,1] => 188
[6,3,5,1,4,2,7] => 101010 => [1,1,1,1,1,1] => 296
[6,3,5,1,4,7,2] => 101001 => [1,1,1,2,1] => 188
[6,3,5,1,7,2,4] => 101010 => [1,1,1,1,1,1] => 296
[6,3,5,1,7,4,2] => 101011 => [1,1,1,1,2] => 188
[6,3,5,2,1,4,7] => 101100 => [1,1,2,2] => 114
[6,3,5,2,1,7,4] => 101101 => [1,1,2,1,1] => 184
[6,3,5,2,4,1,7] => 101010 => [1,1,1,1,1,1] => 296
[6,3,5,2,4,7,1] => 101001 => [1,1,1,2,1] => 188
[6,3,5,2,7,1,4] => 101010 => [1,1,1,1,1,1] => 296
[6,3,5,2,7,4,1] => 101011 => [1,1,1,1,2] => 188
[6,3,5,4,1,2,7] => 101100 => [1,1,2,2] => 114
[6,3,5,4,1,7,2] => 101101 => [1,1,2,1,1] => 184
[6,3,5,4,2,1,7] => 101110 => [1,1,3,1] => 82
[6,3,5,4,2,7,1] => 101101 => [1,1,2,1,1] => 184
[6,3,5,4,7,1,2] => 101010 => [1,1,1,1,1,1] => 296
[6,3,5,4,7,2,1] => 101011 => [1,1,1,1,2] => 188
[6,3,5,7,1,2,4] => 100100 => [1,2,1,2] => 112
[6,3,5,7,1,4,2] => 100101 => [1,2,1,1,1] => 180
[6,3,5,7,2,1,4] => 100110 => [1,2,2,1] => 112
[6,3,5,7,2,4,1] => 100101 => [1,2,1,1,1] => 180
[6,3,5,7,4,1,2] => 100110 => [1,2,2,1] => 112
[6,3,5,7,4,2,1] => 100111 => [1,2,3] => 48
[6,3,7,1,2,4,5] => 101000 => [1,1,1,3] => 82
[6,3,7,1,2,5,4] => 101001 => [1,1,1,2,1] => 188
[6,3,7,1,4,2,5] => 101010 => [1,1,1,1,1,1] => 296
[6,3,7,1,4,5,2] => 101001 => [1,1,1,2,1] => 188
[6,3,7,1,5,2,4] => 101010 => [1,1,1,1,1,1] => 296
[6,3,7,1,5,4,2] => 101011 => [1,1,1,1,2] => 188
[6,3,7,2,1,4,5] => 101100 => [1,1,2,2] => 114
[6,3,7,2,1,5,4] => 101101 => [1,1,2,1,1] => 184
[6,3,7,2,4,1,5] => 101010 => [1,1,1,1,1,1] => 296
[6,3,7,2,4,5,1] => 101001 => [1,1,1,2,1] => 188
[6,3,7,2,5,1,4] => 101010 => [1,1,1,1,1,1] => 296
[6,3,7,2,5,4,1] => 101011 => [1,1,1,1,2] => 188
[6,3,7,4,1,2,5] => 101100 => [1,1,2,2] => 114
[6,3,7,4,1,5,2] => 101101 => [1,1,2,1,1] => 184
[6,3,7,4,2,1,5] => 101110 => [1,1,3,1] => 82
[6,3,7,4,2,5,1] => 101101 => [1,1,2,1,1] => 184
[6,3,7,4,5,1,2] => 101010 => [1,1,1,1,1,1] => 296
[6,3,7,4,5,2,1] => 101011 => [1,1,1,1,2] => 188
[6,3,7,5,1,2,4] => 101100 => [1,1,2,2] => 114
[6,3,7,5,1,4,2] => 101101 => [1,1,2,1,1] => 184
[6,3,7,5,2,1,4] => 101110 => [1,1,3,1] => 82
[6,3,7,5,2,4,1] => 101101 => [1,1,2,1,1] => 184
[6,3,7,5,4,1,2] => 101110 => [1,1,3,1] => 82
[6,3,7,5,4,2,1] => 101111 => [1,1,4] => 26
[6,4,1,2,3,5,7] => 110000 => [2,4] => 15
[6,4,1,2,3,7,5] => 110001 => [2,3,1] => 48
[6,4,1,2,5,3,7] => 110010 => [2,2,1,1] => 110
[6,4,1,2,5,7,3] => 110001 => [2,3,1] => 48
[6,4,1,2,7,3,5] => 110010 => [2,2,1,1] => 110
[6,4,1,2,7,5,3] => 110011 => [2,2,2] => 67
[6,4,1,3,2,5,7] => 110100 => [2,1,1,2] => 112
[6,4,1,3,2,7,5] => 110101 => [2,1,1,1,1] => 180
[6,4,1,3,5,2,7] => 110010 => [2,2,1,1] => 110
[6,4,1,3,5,7,2] => 110001 => [2,3,1] => 48
[6,4,1,3,7,2,5] => 110010 => [2,2,1,1] => 110
[6,4,1,3,7,5,2] => 110011 => [2,2,2] => 67
[6,4,1,5,2,3,7] => 110100 => [2,1,1,2] => 112
[6,4,1,5,2,7,3] => 110101 => [2,1,1,1,1] => 180
[6,4,1,5,3,2,7] => 110110 => [2,1,2,1] => 112
[6,4,1,5,3,7,2] => 110101 => [2,1,1,1,1] => 180
[6,4,1,5,7,2,3] => 110010 => [2,2,1,1] => 110
[6,4,1,5,7,3,2] => 110011 => [2,2,2] => 67
[6,4,1,7,2,3,5] => 110100 => [2,1,1,2] => 112
[6,4,1,7,2,5,3] => 110101 => [2,1,1,1,1] => 180
[6,4,1,7,3,2,5] => 110110 => [2,1,2,1] => 112
[6,4,1,7,3,5,2] => 110101 => [2,1,1,1,1] => 180
[6,4,1,7,5,2,3] => 110110 => [2,1,2,1] => 112
[6,4,1,7,5,3,2] => 110111 => [2,1,3] => 48
[6,4,2,1,3,5,7] => 111000 => [3,3] => 20
[6,4,2,1,3,7,5] => 111001 => [3,2,1] => 48
[6,4,2,1,5,3,7] => 111010 => [3,1,1,1] => 80
[6,4,2,1,5,7,3] => 111001 => [3,2,1] => 48
[6,4,2,1,7,3,5] => 111010 => [3,1,1,1] => 80
[6,4,2,1,7,5,3] => 111011 => [3,1,2] => 48
[6,4,2,3,1,5,7] => 110100 => [2,1,1,2] => 112
[6,4,2,3,1,7,5] => 110101 => [2,1,1,1,1] => 180
[6,4,2,3,5,1,7] => 110010 => [2,2,1,1] => 110
[6,4,2,3,5,7,1] => 110001 => [2,3,1] => 48
[6,4,2,3,7,1,5] => 110010 => [2,2,1,1] => 110
[6,4,2,3,7,5,1] => 110011 => [2,2,2] => 67
[6,4,2,5,1,3,7] => 110100 => [2,1,1,2] => 112
[6,4,2,5,1,7,3] => 110101 => [2,1,1,1,1] => 180
[6,4,2,5,3,1,7] => 110110 => [2,1,2,1] => 112
[6,4,2,5,3,7,1] => 110101 => [2,1,1,1,1] => 180
[6,4,2,5,7,1,3] => 110010 => [2,2,1,1] => 110
[6,4,2,5,7,3,1] => 110011 => [2,2,2] => 67
[6,4,2,7,1,3,5] => 110100 => [2,1,1,2] => 112
[6,4,2,7,1,5,3] => 110101 => [2,1,1,1,1] => 180
[6,4,2,7,3,1,5] => 110110 => [2,1,2,1] => 112
[6,4,2,7,3,5,1] => 110101 => [2,1,1,1,1] => 180
[6,4,2,7,5,1,3] => 110110 => [2,1,2,1] => 112
[6,4,2,7,5,3,1] => 110111 => [2,1,3] => 48
[6,4,3,1,2,5,7] => 111000 => [3,3] => 20
[6,4,3,1,2,7,5] => 111001 => [3,2,1] => 48
[6,4,3,1,5,2,7] => 111010 => [3,1,1,1] => 80
[6,4,3,1,5,7,2] => 111001 => [3,2,1] => 48
[6,4,3,1,7,2,5] => 111010 => [3,1,1,1] => 80
[6,4,3,1,7,5,2] => 111011 => [3,1,2] => 48
[6,4,3,2,1,5,7] => 111100 => [4,2] => 15
[6,4,3,2,1,7,5] => 111101 => [4,1,1] => 26
[6,4,3,2,5,1,7] => 111010 => [3,1,1,1] => 80
[6,4,3,2,5,7,1] => 111001 => [3,2,1] => 48
[6,4,3,2,7,1,5] => 111010 => [3,1,1,1] => 80
[6,4,3,2,7,5,1] => 111011 => [3,1,2] => 48
[6,4,3,5,1,2,7] => 110100 => [2,1,1,2] => 112
[6,4,3,5,1,7,2] => 110101 => [2,1,1,1,1] => 180
[6,4,3,5,2,1,7] => 110110 => [2,1,2,1] => 112
[6,4,3,5,2,7,1] => 110101 => [2,1,1,1,1] => 180
[6,4,3,5,7,1,2] => 110010 => [2,2,1,1] => 110
[6,4,3,5,7,2,1] => 110011 => [2,2,2] => 67
[6,4,3,7,1,2,5] => 110100 => [2,1,1,2] => 112
[6,4,3,7,1,5,2] => 110101 => [2,1,1,1,1] => 180
[6,4,3,7,2,1,5] => 110110 => [2,1,2,1] => 112
[6,4,3,7,2,5,1] => 110101 => [2,1,1,1,1] => 180
[6,4,3,7,5,1,2] => 110110 => [2,1,2,1] => 112
[6,4,3,7,5,2,1] => 110111 => [2,1,3] => 48
[6,4,5,1,2,3,7] => 101000 => [1,1,1,3] => 82
[6,4,5,1,2,7,3] => 101001 => [1,1,1,2,1] => 188
[6,4,5,1,3,2,7] => 101010 => [1,1,1,1,1,1] => 296
[6,4,5,1,3,7,2] => 101001 => [1,1,1,2,1] => 188
[6,4,5,1,7,2,3] => 101010 => [1,1,1,1,1,1] => 296
[6,4,5,1,7,3,2] => 101011 => [1,1,1,1,2] => 188
[6,4,5,2,1,3,7] => 101100 => [1,1,2,2] => 114
[6,4,5,2,1,7,3] => 101101 => [1,1,2,1,1] => 184
[6,4,5,2,3,1,7] => 101010 => [1,1,1,1,1,1] => 296
[6,4,5,2,3,7,1] => 101001 => [1,1,1,2,1] => 188
[6,4,5,2,7,1,3] => 101010 => [1,1,1,1,1,1] => 296
[6,4,5,2,7,3,1] => 101011 => [1,1,1,1,2] => 188
[6,4,5,3,1,2,7] => 101100 => [1,1,2,2] => 114
[6,4,5,3,1,7,2] => 101101 => [1,1,2,1,1] => 184
[6,4,5,3,2,1,7] => 101110 => [1,1,3,1] => 82
[6,4,5,3,2,7,1] => 101101 => [1,1,2,1,1] => 184
[6,4,5,3,7,1,2] => 101010 => [1,1,1,1,1,1] => 296
[6,4,5,3,7,2,1] => 101011 => [1,1,1,1,2] => 188
[6,4,5,7,1,2,3] => 100100 => [1,2,1,2] => 112
[6,4,5,7,1,3,2] => 100101 => [1,2,1,1,1] => 180
[6,4,5,7,2,1,3] => 100110 => [1,2,2,1] => 112
[6,4,5,7,2,3,1] => 100101 => [1,2,1,1,1] => 180
[6,4,5,7,3,1,2] => 100110 => [1,2,2,1] => 112
[6,4,5,7,3,2,1] => 100111 => [1,2,3] => 48
[6,4,7,1,2,3,5] => 101000 => [1,1,1,3] => 82
[6,4,7,1,2,5,3] => 101001 => [1,1,1,2,1] => 188
[6,4,7,1,3,2,5] => 101010 => [1,1,1,1,1,1] => 296
[6,4,7,1,3,5,2] => 101001 => [1,1,1,2,1] => 188
[6,4,7,1,5,2,3] => 101010 => [1,1,1,1,1,1] => 296
[6,4,7,1,5,3,2] => 101011 => [1,1,1,1,2] => 188
[6,4,7,2,1,3,5] => 101100 => [1,1,2,2] => 114
[6,4,7,2,1,5,3] => 101101 => [1,1,2,1,1] => 184
[6,4,7,2,3,1,5] => 101010 => [1,1,1,1,1,1] => 296
[6,4,7,2,3,5,1] => 101001 => [1,1,1,2,1] => 188
[6,4,7,2,5,1,3] => 101010 => [1,1,1,1,1,1] => 296
[6,4,7,2,5,3,1] => 101011 => [1,1,1,1,2] => 188
[6,4,7,3,1,2,5] => 101100 => [1,1,2,2] => 114
[6,4,7,3,1,5,2] => 101101 => [1,1,2,1,1] => 184
[6,4,7,3,2,1,5] => 101110 => [1,1,3,1] => 82
[6,4,7,3,2,5,1] => 101101 => [1,1,2,1,1] => 184
[6,4,7,3,5,1,2] => 101010 => [1,1,1,1,1,1] => 296
[6,4,7,3,5,2,1] => 101011 => [1,1,1,1,2] => 188
[6,4,7,5,1,2,3] => 101100 => [1,1,2,2] => 114
[6,4,7,5,1,3,2] => 101101 => [1,1,2,1,1] => 184
[6,4,7,5,2,1,3] => 101110 => [1,1,3,1] => 82
[6,4,7,5,2,3,1] => 101101 => [1,1,2,1,1] => 184
[6,4,7,5,3,1,2] => 101110 => [1,1,3,1] => 82
[6,4,7,5,3,2,1] => 101111 => [1,1,4] => 26
[6,5,1,2,3,4,7] => 110000 => [2,4] => 15
[6,5,1,2,3,7,4] => 110001 => [2,3,1] => 48
[6,5,1,2,4,3,7] => 110010 => [2,2,1,1] => 110
[6,5,1,2,4,7,3] => 110001 => [2,3,1] => 48
[6,5,1,2,7,3,4] => 110010 => [2,2,1,1] => 110
[6,5,1,2,7,4,3] => 110011 => [2,2,2] => 67
[6,5,1,3,2,4,7] => 110100 => [2,1,1,2] => 112
[6,5,1,3,2,7,4] => 110101 => [2,1,1,1,1] => 180
[6,5,1,3,4,2,7] => 110010 => [2,2,1,1] => 110
[6,5,1,3,4,7,2] => 110001 => [2,3,1] => 48
[6,5,1,3,7,2,4] => 110010 => [2,2,1,1] => 110
[6,5,1,3,7,4,2] => 110011 => [2,2,2] => 67
[6,5,1,4,2,3,7] => 110100 => [2,1,1,2] => 112
[6,5,1,4,2,7,3] => 110101 => [2,1,1,1,1] => 180
[6,5,1,4,3,2,7] => 110110 => [2,1,2,1] => 112
[6,5,1,4,3,7,2] => 110101 => [2,1,1,1,1] => 180
[6,5,1,4,7,2,3] => 110010 => [2,2,1,1] => 110
[6,5,1,4,7,3,2] => 110011 => [2,2,2] => 67
[6,5,1,7,2,3,4] => 110100 => [2,1,1,2] => 112
[6,5,1,7,2,4,3] => 110101 => [2,1,1,1,1] => 180
[6,5,1,7,3,2,4] => 110110 => [2,1,2,1] => 112
[6,5,1,7,3,4,2] => 110101 => [2,1,1,1,1] => 180
[6,5,1,7,4,2,3] => 110110 => [2,1,2,1] => 112
[6,5,1,7,4,3,2] => 110111 => [2,1,3] => 48
[6,5,2,1,3,4,7] => 111000 => [3,3] => 20
[6,5,2,1,3,7,4] => 111001 => [3,2,1] => 48
[6,5,2,1,4,3,7] => 111010 => [3,1,1,1] => 80
[6,5,2,1,4,7,3] => 111001 => [3,2,1] => 48
[6,5,2,1,7,3,4] => 111010 => [3,1,1,1] => 80
[6,5,2,1,7,4,3] => 111011 => [3,1,2] => 48
[6,5,2,3,1,4,7] => 110100 => [2,1,1,2] => 112
[6,5,2,3,1,7,4] => 110101 => [2,1,1,1,1] => 180
[6,5,2,3,4,1,7] => 110010 => [2,2,1,1] => 110
[6,5,2,3,4,7,1] => 110001 => [2,3,1] => 48
[6,5,2,3,7,1,4] => 110010 => [2,2,1,1] => 110
[6,5,2,3,7,4,1] => 110011 => [2,2,2] => 67
[6,5,2,4,1,3,7] => 110100 => [2,1,1,2] => 112
[6,5,2,4,1,7,3] => 110101 => [2,1,1,1,1] => 180
[6,5,2,4,3,1,7] => 110110 => [2,1,2,1] => 112
[6,5,2,4,3,7,1] => 110101 => [2,1,1,1,1] => 180
[6,5,2,4,7,1,3] => 110010 => [2,2,1,1] => 110
[6,5,2,4,7,3,1] => 110011 => [2,2,2] => 67
[6,5,2,7,1,3,4] => 110100 => [2,1,1,2] => 112
[6,5,2,7,1,4,3] => 110101 => [2,1,1,1,1] => 180
[6,5,2,7,3,1,4] => 110110 => [2,1,2,1] => 112
[6,5,2,7,3,4,1] => 110101 => [2,1,1,1,1] => 180
[6,5,2,7,4,1,3] => 110110 => [2,1,2,1] => 112
[6,5,2,7,4,3,1] => 110111 => [2,1,3] => 48
[6,5,3,1,2,4,7] => 111000 => [3,3] => 20
[6,5,3,1,2,7,4] => 111001 => [3,2,1] => 48
[6,5,3,1,4,2,7] => 111010 => [3,1,1,1] => 80
[6,5,3,1,4,7,2] => 111001 => [3,2,1] => 48
[6,5,3,1,7,2,4] => 111010 => [3,1,1,1] => 80
[6,5,3,1,7,4,2] => 111011 => [3,1,2] => 48
[6,5,3,2,1,4,7] => 111100 => [4,2] => 15
[6,5,3,2,1,7,4] => 111101 => [4,1,1] => 26
[6,5,3,2,4,1,7] => 111010 => [3,1,1,1] => 80
[6,5,3,2,4,7,1] => 111001 => [3,2,1] => 48
[6,5,3,2,7,1,4] => 111010 => [3,1,1,1] => 80
[6,5,3,2,7,4,1] => 111011 => [3,1,2] => 48
[6,5,3,4,1,2,7] => 110100 => [2,1,1,2] => 112
[6,5,3,4,1,7,2] => 110101 => [2,1,1,1,1] => 180
[6,5,3,4,2,1,7] => 110110 => [2,1,2,1] => 112
[6,5,3,4,2,7,1] => 110101 => [2,1,1,1,1] => 180
[6,5,3,4,7,1,2] => 110010 => [2,2,1,1] => 110
[6,5,3,4,7,2,1] => 110011 => [2,2,2] => 67
[6,5,3,7,1,2,4] => 110100 => [2,1,1,2] => 112
[6,5,3,7,1,4,2] => 110101 => [2,1,1,1,1] => 180
[6,5,3,7,2,1,4] => 110110 => [2,1,2,1] => 112
[6,5,3,7,2,4,1] => 110101 => [2,1,1,1,1] => 180
[6,5,3,7,4,1,2] => 110110 => [2,1,2,1] => 112
[6,5,3,7,4,2,1] => 110111 => [2,1,3] => 48
[6,5,4,1,2,3,7] => 111000 => [3,3] => 20
[6,5,4,1,2,7,3] => 111001 => [3,2,1] => 48
[6,5,4,1,3,2,7] => 111010 => [3,1,1,1] => 80
[6,5,4,1,3,7,2] => 111001 => [3,2,1] => 48
[6,5,4,1,7,2,3] => 111010 => [3,1,1,1] => 80
[6,5,4,1,7,3,2] => 111011 => [3,1,2] => 48
[6,5,4,2,1,3,7] => 111100 => [4,2] => 15
[6,5,4,2,1,7,3] => 111101 => [4,1,1] => 26
[6,5,4,2,3,1,7] => 111010 => [3,1,1,1] => 80
[6,5,4,2,3,7,1] => 111001 => [3,2,1] => 48
[6,5,4,2,7,1,3] => 111010 => [3,1,1,1] => 80
[6,5,4,2,7,3,1] => 111011 => [3,1,2] => 48
[6,5,4,3,1,2,7] => 111100 => [4,2] => 15
[6,5,4,3,1,7,2] => 111101 => [4,1,1] => 26
[6,5,4,3,2,1,7] => 111110 => [5,1] => 6
[6,5,4,3,2,7,1] => 111101 => [4,1,1] => 26
[6,5,4,3,7,1,2] => 111010 => [3,1,1,1] => 80
[6,5,4,3,7,2,1] => 111011 => [3,1,2] => 48
[6,5,4,7,1,2,3] => 110100 => [2,1,1,2] => 112
[6,5,4,7,1,3,2] => 110101 => [2,1,1,1,1] => 180
[6,5,4,7,2,1,3] => 110110 => [2,1,2,1] => 112
[6,5,4,7,2,3,1] => 110101 => [2,1,1,1,1] => 180
[6,5,4,7,3,1,2] => 110110 => [2,1,2,1] => 112
[6,5,4,7,3,2,1] => 110111 => [2,1,3] => 48
[6,5,7,1,2,3,4] => 101000 => [1,1,1,3] => 82
[6,5,7,1,2,4,3] => 101001 => [1,1,1,2,1] => 188
[6,5,7,1,3,2,4] => 101010 => [1,1,1,1,1,1] => 296
[6,5,7,1,3,4,2] => 101001 => [1,1,1,2,1] => 188
[6,5,7,1,4,2,3] => 101010 => [1,1,1,1,1,1] => 296
[6,5,7,1,4,3,2] => 101011 => [1,1,1,1,2] => 188
[6,5,7,2,1,3,4] => 101100 => [1,1,2,2] => 114
[6,5,7,2,1,4,3] => 101101 => [1,1,2,1,1] => 184
[6,5,7,2,3,1,4] => 101010 => [1,1,1,1,1,1] => 296
[6,5,7,2,3,4,1] => 101001 => [1,1,1,2,1] => 188
[6,5,7,2,4,1,3] => 101010 => [1,1,1,1,1,1] => 296
[6,5,7,2,4,3,1] => 101011 => [1,1,1,1,2] => 188
[6,5,7,3,1,2,4] => 101100 => [1,1,2,2] => 114
[6,5,7,3,1,4,2] => 101101 => [1,1,2,1,1] => 184
[6,5,7,3,2,1,4] => 101110 => [1,1,3,1] => 82
[6,5,7,3,2,4,1] => 101101 => [1,1,2,1,1] => 184
[6,5,7,3,4,1,2] => 101010 => [1,1,1,1,1,1] => 296
[6,5,7,3,4,2,1] => 101011 => [1,1,1,1,2] => 188
[6,5,7,4,1,2,3] => 101100 => [1,1,2,2] => 114
[6,5,7,4,1,3,2] => 101101 => [1,1,2,1,1] => 184
[6,5,7,4,2,1,3] => 101110 => [1,1,3,1] => 82
[6,5,7,4,2,3,1] => 101101 => [1,1,2,1,1] => 184
[6,5,7,4,3,1,2] => 101110 => [1,1,3,1] => 82
[6,5,7,4,3,2,1] => 101111 => [1,1,4] => 26
[6,7,1,2,3,4,5] => 010000 => [1,1,4] => 26
[6,7,1,2,3,5,4] => 010001 => [1,1,3,1] => 82
[6,7,1,2,4,3,5] => 010010 => [1,1,2,1,1] => 184
[6,7,1,2,4,5,3] => 010001 => [1,1,3,1] => 82
[6,7,1,2,5,3,4] => 010010 => [1,1,2,1,1] => 184
[6,7,1,2,5,4,3] => 010011 => [1,1,2,2] => 114
[6,7,1,3,2,4,5] => 010100 => [1,1,1,1,2] => 188
[6,7,1,3,2,5,4] => 010101 => [1,1,1,1,1,1] => 296
[6,7,1,3,4,2,5] => 010010 => [1,1,2,1,1] => 184
[6,7,1,3,4,5,2] => 010001 => [1,1,3,1] => 82
[6,7,1,3,5,2,4] => 010010 => [1,1,2,1,1] => 184
[6,7,1,3,5,4,2] => 010011 => [1,1,2,2] => 114
[6,7,1,4,2,3,5] => 010100 => [1,1,1,1,2] => 188
[6,7,1,4,2,5,3] => 010101 => [1,1,1,1,1,1] => 296
[6,7,1,4,3,2,5] => 010110 => [1,1,1,2,1] => 188
[6,7,1,4,3,5,2] => 010101 => [1,1,1,1,1,1] => 296
[6,7,1,4,5,2,3] => 010010 => [1,1,2,1,1] => 184
[6,7,1,4,5,3,2] => 010011 => [1,1,2,2] => 114
[6,7,1,5,2,3,4] => 010100 => [1,1,1,1,2] => 188
[6,7,1,5,2,4,3] => 010101 => [1,1,1,1,1,1] => 296
[6,7,1,5,3,2,4] => 010110 => [1,1,1,2,1] => 188
[6,7,1,5,3,4,2] => 010101 => [1,1,1,1,1,1] => 296
[6,7,1,5,4,2,3] => 010110 => [1,1,1,2,1] => 188
[6,7,1,5,4,3,2] => 010111 => [1,1,1,3] => 82
[6,7,2,1,3,4,5] => 011000 => [1,2,3] => 48
[6,7,2,1,3,5,4] => 011001 => [1,2,2,1] => 112
[6,7,2,1,4,3,5] => 011010 => [1,2,1,1,1] => 180
[6,7,2,1,4,5,3] => 011001 => [1,2,2,1] => 112
[6,7,2,1,5,3,4] => 011010 => [1,2,1,1,1] => 180
[6,7,2,1,5,4,3] => 011011 => [1,2,1,2] => 112
[6,7,2,3,1,4,5] => 010100 => [1,1,1,1,2] => 188
[6,7,2,3,1,5,4] => 010101 => [1,1,1,1,1,1] => 296
[6,7,2,3,4,1,5] => 010010 => [1,1,2,1,1] => 184
[6,7,2,3,4,5,1] => 010001 => [1,1,3,1] => 82
[6,7,2,3,5,1,4] => 010010 => [1,1,2,1,1] => 184
[6,7,2,3,5,4,1] => 010011 => [1,1,2,2] => 114
[6,7,2,4,1,3,5] => 010100 => [1,1,1,1,2] => 188
[6,7,2,4,1,5,3] => 010101 => [1,1,1,1,1,1] => 296
[6,7,2,4,3,1,5] => 010110 => [1,1,1,2,1] => 188
[6,7,2,4,3,5,1] => 010101 => [1,1,1,1,1,1] => 296
[6,7,2,4,5,1,3] => 010010 => [1,1,2,1,1] => 184
[6,7,2,4,5,3,1] => 010011 => [1,1,2,2] => 114
[6,7,2,5,1,3,4] => 010100 => [1,1,1,1,2] => 188
[6,7,2,5,1,4,3] => 010101 => [1,1,1,1,1,1] => 296
[6,7,2,5,3,1,4] => 010110 => [1,1,1,2,1] => 188
[6,7,2,5,3,4,1] => 010101 => [1,1,1,1,1,1] => 296
[6,7,2,5,4,1,3] => 010110 => [1,1,1,2,1] => 188
[6,7,2,5,4,3,1] => 010111 => [1,1,1,3] => 82
[6,7,3,1,2,4,5] => 011000 => [1,2,3] => 48
[6,7,3,1,2,5,4] => 011001 => [1,2,2,1] => 112
[6,7,3,1,4,2,5] => 011010 => [1,2,1,1,1] => 180
[6,7,3,1,4,5,2] => 011001 => [1,2,2,1] => 112
[6,7,3,1,5,2,4] => 011010 => [1,2,1,1,1] => 180
[6,7,3,1,5,4,2] => 011011 => [1,2,1,2] => 112
[6,7,3,2,1,4,5] => 011100 => [1,3,2] => 48
[6,7,3,2,1,5,4] => 011101 => [1,3,1,1] => 80
[6,7,3,2,4,1,5] => 011010 => [1,2,1,1,1] => 180
[6,7,3,2,4,5,1] => 011001 => [1,2,2,1] => 112
[6,7,3,2,5,1,4] => 011010 => [1,2,1,1,1] => 180
[6,7,3,2,5,4,1] => 011011 => [1,2,1,2] => 112
[6,7,3,4,1,2,5] => 010100 => [1,1,1,1,2] => 188
[6,7,3,4,1,5,2] => 010101 => [1,1,1,1,1,1] => 296
[6,7,3,4,2,1,5] => 010110 => [1,1,1,2,1] => 188
[6,7,3,4,2,5,1] => 010101 => [1,1,1,1,1,1] => 296
[6,7,3,4,5,1,2] => 010010 => [1,1,2,1,1] => 184
[6,7,3,4,5,2,1] => 010011 => [1,1,2,2] => 114
[6,7,3,5,1,2,4] => 010100 => [1,1,1,1,2] => 188
[6,7,3,5,1,4,2] => 010101 => [1,1,1,1,1,1] => 296
[6,7,3,5,2,1,4] => 010110 => [1,1,1,2,1] => 188
[6,7,3,5,2,4,1] => 010101 => [1,1,1,1,1,1] => 296
[6,7,3,5,4,1,2] => 010110 => [1,1,1,2,1] => 188
[6,7,3,5,4,2,1] => 010111 => [1,1,1,3] => 82
[6,7,4,1,2,3,5] => 011000 => [1,2,3] => 48
[6,7,4,1,2,5,3] => 011001 => [1,2,2,1] => 112
[6,7,4,1,3,2,5] => 011010 => [1,2,1,1,1] => 180
[6,7,4,1,3,5,2] => 011001 => [1,2,2,1] => 112
[6,7,4,1,5,2,3] => 011010 => [1,2,1,1,1] => 180
[6,7,4,1,5,3,2] => 011011 => [1,2,1,2] => 112
[6,7,4,2,1,3,5] => 011100 => [1,3,2] => 48
[6,7,4,2,1,5,3] => 011101 => [1,3,1,1] => 80
[6,7,4,2,3,1,5] => 011010 => [1,2,1,1,1] => 180
[6,7,4,2,3,5,1] => 011001 => [1,2,2,1] => 112
[6,7,4,2,5,1,3] => 011010 => [1,2,1,1,1] => 180
[6,7,4,2,5,3,1] => 011011 => [1,2,1,2] => 112
[6,7,4,3,1,2,5] => 011100 => [1,3,2] => 48
[6,7,4,3,1,5,2] => 011101 => [1,3,1,1] => 80
[6,7,4,3,2,1,5] => 011110 => [1,4,1] => 26
[6,7,4,3,2,5,1] => 011101 => [1,3,1,1] => 80
[6,7,4,3,5,1,2] => 011010 => [1,2,1,1,1] => 180
[6,7,4,3,5,2,1] => 011011 => [1,2,1,2] => 112
[6,7,4,5,1,2,3] => 010100 => [1,1,1,1,2] => 188
[6,7,4,5,1,3,2] => 010101 => [1,1,1,1,1,1] => 296
[6,7,4,5,2,1,3] => 010110 => [1,1,1,2,1] => 188
[6,7,4,5,2,3,1] => 010101 => [1,1,1,1,1,1] => 296
[6,7,4,5,3,1,2] => 010110 => [1,1,1,2,1] => 188
[6,7,4,5,3,2,1] => 010111 => [1,1,1,3] => 82
[6,7,5,1,2,3,4] => 011000 => [1,2,3] => 48
[6,7,5,1,2,4,3] => 011001 => [1,2,2,1] => 112
[6,7,5,1,3,2,4] => 011010 => [1,2,1,1,1] => 180
[6,7,5,1,3,4,2] => 011001 => [1,2,2,1] => 112
[6,7,5,1,4,2,3] => 011010 => [1,2,1,1,1] => 180
[6,7,5,1,4,3,2] => 011011 => [1,2,1,2] => 112
[6,7,5,2,1,3,4] => 011100 => [1,3,2] => 48
[6,7,5,2,1,4,3] => 011101 => [1,3,1,1] => 80
[6,7,5,2,3,1,4] => 011010 => [1,2,1,1,1] => 180
[6,7,5,2,3,4,1] => 011001 => [1,2,2,1] => 112
[6,7,5,2,4,1,3] => 011010 => [1,2,1,1,1] => 180
[6,7,5,2,4,3,1] => 011011 => [1,2,1,2] => 112
[6,7,5,3,1,2,4] => 011100 => [1,3,2] => 48
[6,7,5,3,1,4,2] => 011101 => [1,3,1,1] => 80
[6,7,5,3,2,1,4] => 011110 => [1,4,1] => 26
[6,7,5,3,2,4,1] => 011101 => [1,3,1,1] => 80
[6,7,5,3,4,1,2] => 011010 => [1,2,1,1,1] => 180
[6,7,5,3,4,2,1] => 011011 => [1,2,1,2] => 112
[6,7,5,4,1,2,3] => 011100 => [1,3,2] => 48
[6,7,5,4,1,3,2] => 011101 => [1,3,1,1] => 80
[6,7,5,4,2,1,3] => 011110 => [1,4,1] => 26
[6,7,5,4,2,3,1] => 011101 => [1,3,1,1] => 80
[6,7,5,4,3,1,2] => 011110 => [1,4,1] => 26
[6,7,5,4,3,2,1] => 011111 => [1,5] => 6
[7,1,2,3,4,5,6] => 100000 => [1,5] => 6
[7,1,2,3,4,6,5] => 100001 => [1,4,1] => 26
[7,1,2,3,5,4,6] => 100010 => [1,3,1,1] => 80
[7,1,2,3,5,6,4] => 100001 => [1,4,1] => 26
[7,1,2,3,6,4,5] => 100010 => [1,3,1,1] => 80
[7,1,2,3,6,5,4] => 100011 => [1,3,2] => 48
[7,1,2,4,3,5,6] => 100100 => [1,2,1,2] => 112
[7,1,2,4,3,6,5] => 100101 => [1,2,1,1,1] => 180
[7,1,2,4,5,3,6] => 100010 => [1,3,1,1] => 80
[7,1,2,4,5,6,3] => 100001 => [1,4,1] => 26
[7,1,2,4,6,3,5] => 100010 => [1,3,1,1] => 80
[7,1,2,4,6,5,3] => 100011 => [1,3,2] => 48
[7,1,2,5,3,4,6] => 100100 => [1,2,1,2] => 112
[7,1,2,5,3,6,4] => 100101 => [1,2,1,1,1] => 180
[7,1,2,5,4,3,6] => 100110 => [1,2,2,1] => 112
[7,1,2,5,4,6,3] => 100101 => [1,2,1,1,1] => 180
[7,1,2,5,6,3,4] => 100010 => [1,3,1,1] => 80
[7,1,2,5,6,4,3] => 100011 => [1,3,2] => 48
[7,1,2,6,3,4,5] => 100100 => [1,2,1,2] => 112
[7,1,2,6,3,5,4] => 100101 => [1,2,1,1,1] => 180
[7,1,2,6,4,3,5] => 100110 => [1,2,2,1] => 112
[7,1,2,6,4,5,3] => 100101 => [1,2,1,1,1] => 180
[7,1,2,6,5,3,4] => 100110 => [1,2,2,1] => 112
[7,1,2,6,5,4,3] => 100111 => [1,2,3] => 48
[7,1,3,2,4,5,6] => 101000 => [1,1,1,3] => 82
[7,1,3,2,4,6,5] => 101001 => [1,1,1,2,1] => 188
[7,1,3,2,5,4,6] => 101010 => [1,1,1,1,1,1] => 296
[7,1,3,2,5,6,4] => 101001 => [1,1,1,2,1] => 188
[7,1,3,2,6,4,5] => 101010 => [1,1,1,1,1,1] => 296
[7,1,3,2,6,5,4] => 101011 => [1,1,1,1,2] => 188
[7,1,3,4,2,5,6] => 100100 => [1,2,1,2] => 112
[7,1,3,4,2,6,5] => 100101 => [1,2,1,1,1] => 180
[7,1,3,4,5,2,6] => 100010 => [1,3,1,1] => 80
[7,1,3,4,5,6,2] => 100001 => [1,4,1] => 26
[7,1,3,4,6,2,5] => 100010 => [1,3,1,1] => 80
[7,1,3,4,6,5,2] => 100011 => [1,3,2] => 48
[7,1,3,5,2,4,6] => 100100 => [1,2,1,2] => 112
[7,1,3,5,2,6,4] => 100101 => [1,2,1,1,1] => 180
[7,1,3,5,4,2,6] => 100110 => [1,2,2,1] => 112
[7,1,3,5,4,6,2] => 100101 => [1,2,1,1,1] => 180
[7,1,3,5,6,2,4] => 100010 => [1,3,1,1] => 80
[7,1,3,5,6,4,2] => 100011 => [1,3,2] => 48
[7,1,3,6,2,4,5] => 100100 => [1,2,1,2] => 112
[7,1,3,6,2,5,4] => 100101 => [1,2,1,1,1] => 180
[7,1,3,6,4,2,5] => 100110 => [1,2,2,1] => 112
[7,1,3,6,4,5,2] => 100101 => [1,2,1,1,1] => 180
[7,1,3,6,5,2,4] => 100110 => [1,2,2,1] => 112
[7,1,3,6,5,4,2] => 100111 => [1,2,3] => 48
[7,1,4,2,3,5,6] => 101000 => [1,1,1,3] => 82
[7,1,4,2,3,6,5] => 101001 => [1,1,1,2,1] => 188
[7,1,4,2,5,3,6] => 101010 => [1,1,1,1,1,1] => 296
[7,1,4,2,5,6,3] => 101001 => [1,1,1,2,1] => 188
[7,1,4,2,6,3,5] => 101010 => [1,1,1,1,1,1] => 296
[7,1,4,2,6,5,3] => 101011 => [1,1,1,1,2] => 188
[7,1,4,3,2,5,6] => 101100 => [1,1,2,2] => 114
[7,1,4,3,2,6,5] => 101101 => [1,1,2,1,1] => 184
[7,1,4,3,5,2,6] => 101010 => [1,1,1,1,1,1] => 296
[7,1,4,3,5,6,2] => 101001 => [1,1,1,2,1] => 188
[7,1,4,3,6,2,5] => 101010 => [1,1,1,1,1,1] => 296
[7,1,4,3,6,5,2] => 101011 => [1,1,1,1,2] => 188
[7,1,4,5,2,3,6] => 100100 => [1,2,1,2] => 112
[7,1,4,5,2,6,3] => 100101 => [1,2,1,1,1] => 180
[7,1,4,5,3,2,6] => 100110 => [1,2,2,1] => 112
[7,1,4,5,3,6,2] => 100101 => [1,2,1,1,1] => 180
[7,1,4,5,6,2,3] => 100010 => [1,3,1,1] => 80
[7,1,4,5,6,3,2] => 100011 => [1,3,2] => 48
[7,1,4,6,2,3,5] => 100100 => [1,2,1,2] => 112
[7,1,4,6,2,5,3] => 100101 => [1,2,1,1,1] => 180
[7,1,4,6,3,2,5] => 100110 => [1,2,2,1] => 112
[7,1,4,6,3,5,2] => 100101 => [1,2,1,1,1] => 180
[7,1,4,6,5,2,3] => 100110 => [1,2,2,1] => 112
[7,1,4,6,5,3,2] => 100111 => [1,2,3] => 48
[7,1,5,2,3,4,6] => 101000 => [1,1,1,3] => 82
[7,1,5,2,3,6,4] => 101001 => [1,1,1,2,1] => 188
[7,1,5,2,4,3,6] => 101010 => [1,1,1,1,1,1] => 296
[7,1,5,2,4,6,3] => 101001 => [1,1,1,2,1] => 188
[7,1,5,2,6,3,4] => 101010 => [1,1,1,1,1,1] => 296
[7,1,5,2,6,4,3] => 101011 => [1,1,1,1,2] => 188
[7,1,5,3,2,4,6] => 101100 => [1,1,2,2] => 114
[7,1,5,3,2,6,4] => 101101 => [1,1,2,1,1] => 184
[7,1,5,3,4,2,6] => 101010 => [1,1,1,1,1,1] => 296
[7,1,5,3,4,6,2] => 101001 => [1,1,1,2,1] => 188
[7,1,5,3,6,2,4] => 101010 => [1,1,1,1,1,1] => 296
[7,1,5,3,6,4,2] => 101011 => [1,1,1,1,2] => 188
[7,1,5,4,2,3,6] => 101100 => [1,1,2,2] => 114
[7,1,5,4,2,6,3] => 101101 => [1,1,2,1,1] => 184
[7,1,5,4,3,2,6] => 101110 => [1,1,3,1] => 82
[7,1,5,4,3,6,2] => 101101 => [1,1,2,1,1] => 184
[7,1,5,4,6,2,3] => 101010 => [1,1,1,1,1,1] => 296
[7,1,5,4,6,3,2] => 101011 => [1,1,1,1,2] => 188
[7,1,5,6,2,3,4] => 100100 => [1,2,1,2] => 112
[7,1,5,6,2,4,3] => 100101 => [1,2,1,1,1] => 180
[7,1,5,6,3,2,4] => 100110 => [1,2,2,1] => 112
[7,1,5,6,3,4,2] => 100101 => [1,2,1,1,1] => 180
[7,1,5,6,4,2,3] => 100110 => [1,2,2,1] => 112
[7,1,5,6,4,3,2] => 100111 => [1,2,3] => 48
[7,1,6,2,3,4,5] => 101000 => [1,1,1,3] => 82
[7,1,6,2,3,5,4] => 101001 => [1,1,1,2,1] => 188
[7,1,6,2,4,3,5] => 101010 => [1,1,1,1,1,1] => 296
[7,1,6,2,4,5,3] => 101001 => [1,1,1,2,1] => 188
[7,1,6,2,5,3,4] => 101010 => [1,1,1,1,1,1] => 296
[7,1,6,2,5,4,3] => 101011 => [1,1,1,1,2] => 188
[7,1,6,3,2,4,5] => 101100 => [1,1,2,2] => 114
[7,1,6,3,2,5,4] => 101101 => [1,1,2,1,1] => 184
[7,1,6,3,4,2,5] => 101010 => [1,1,1,1,1,1] => 296
[7,1,6,3,4,5,2] => 101001 => [1,1,1,2,1] => 188
[7,1,6,3,5,2,4] => 101010 => [1,1,1,1,1,1] => 296
[7,1,6,3,5,4,2] => 101011 => [1,1,1,1,2] => 188
[7,1,6,4,2,3,5] => 101100 => [1,1,2,2] => 114
[7,1,6,4,2,5,3] => 101101 => [1,1,2,1,1] => 184
[7,1,6,4,3,2,5] => 101110 => [1,1,3,1] => 82
[7,1,6,4,3,5,2] => 101101 => [1,1,2,1,1] => 184
[7,1,6,4,5,2,3] => 101010 => [1,1,1,1,1,1] => 296
[7,1,6,4,5,3,2] => 101011 => [1,1,1,1,2] => 188
[7,1,6,5,2,3,4] => 101100 => [1,1,2,2] => 114
[7,1,6,5,2,4,3] => 101101 => [1,1,2,1,1] => 184
[7,1,6,5,3,2,4] => 101110 => [1,1,3,1] => 82
[7,1,6,5,3,4,2] => 101101 => [1,1,2,1,1] => 184
[7,1,6,5,4,2,3] => 101110 => [1,1,3,1] => 82
[7,1,6,5,4,3,2] => 101111 => [1,1,4] => 26
[7,2,1,3,4,5,6] => 110000 => [2,4] => 15
[7,2,1,3,4,6,5] => 110001 => [2,3,1] => 48
[7,2,1,3,5,4,6] => 110010 => [2,2,1,1] => 110
[7,2,1,3,5,6,4] => 110001 => [2,3,1] => 48
[7,2,1,3,6,4,5] => 110010 => [2,2,1,1] => 110
[7,2,1,3,6,5,4] => 110011 => [2,2,2] => 67
[7,2,1,4,3,5,6] => 110100 => [2,1,1,2] => 112
[7,2,1,4,3,6,5] => 110101 => [2,1,1,1,1] => 180
[7,2,1,4,5,3,6] => 110010 => [2,2,1,1] => 110
[7,2,1,4,5,6,3] => 110001 => [2,3,1] => 48
[7,2,1,4,6,3,5] => 110010 => [2,2,1,1] => 110
[7,2,1,4,6,5,3] => 110011 => [2,2,2] => 67
[7,2,1,5,3,4,6] => 110100 => [2,1,1,2] => 112
[7,2,1,5,3,6,4] => 110101 => [2,1,1,1,1] => 180
[7,2,1,5,4,3,6] => 110110 => [2,1,2,1] => 112
[7,2,1,5,4,6,3] => 110101 => [2,1,1,1,1] => 180
[7,2,1,5,6,3,4] => 110010 => [2,2,1,1] => 110
[7,2,1,5,6,4,3] => 110011 => [2,2,2] => 67
[7,2,1,6,3,4,5] => 110100 => [2,1,1,2] => 112
[7,2,1,6,3,5,4] => 110101 => [2,1,1,1,1] => 180
[7,2,1,6,4,3,5] => 110110 => [2,1,2,1] => 112
[7,2,1,6,4,5,3] => 110101 => [2,1,1,1,1] => 180
[7,2,1,6,5,3,4] => 110110 => [2,1,2,1] => 112
[7,2,1,6,5,4,3] => 110111 => [2,1,3] => 48
[7,2,3,1,4,5,6] => 101000 => [1,1,1,3] => 82
[7,2,3,1,4,6,5] => 101001 => [1,1,1,2,1] => 188
[7,2,3,1,5,4,6] => 101010 => [1,1,1,1,1,1] => 296
[7,2,3,1,5,6,4] => 101001 => [1,1,1,2,1] => 188
[7,2,3,1,6,4,5] => 101010 => [1,1,1,1,1,1] => 296
[7,2,3,1,6,5,4] => 101011 => [1,1,1,1,2] => 188
[7,2,3,4,1,5,6] => 100100 => [1,2,1,2] => 112
[7,2,3,4,1,6,5] => 100101 => [1,2,1,1,1] => 180
[7,2,3,4,5,1,6] => 100010 => [1,3,1,1] => 80
[7,2,3,4,5,6,1] => 100001 => [1,4,1] => 26
[7,2,3,4,6,1,5] => 100010 => [1,3,1,1] => 80
[7,2,3,4,6,5,1] => 100011 => [1,3,2] => 48
[7,2,3,5,1,4,6] => 100100 => [1,2,1,2] => 112
[7,2,3,5,1,6,4] => 100101 => [1,2,1,1,1] => 180
[7,2,3,5,4,1,6] => 100110 => [1,2,2,1] => 112
[7,2,3,5,4,6,1] => 100101 => [1,2,1,1,1] => 180
[7,2,3,5,6,1,4] => 100010 => [1,3,1,1] => 80
[7,2,3,5,6,4,1] => 100011 => [1,3,2] => 48
[7,2,3,6,1,4,5] => 100100 => [1,2,1,2] => 112
[7,2,3,6,1,5,4] => 100101 => [1,2,1,1,1] => 180
[7,2,3,6,4,1,5] => 100110 => [1,2,2,1] => 112
[7,2,3,6,4,5,1] => 100101 => [1,2,1,1,1] => 180
[7,2,3,6,5,1,4] => 100110 => [1,2,2,1] => 112
[7,2,3,6,5,4,1] => 100111 => [1,2,3] => 48
[7,2,4,1,3,5,6] => 101000 => [1,1,1,3] => 82
[7,2,4,1,3,6,5] => 101001 => [1,1,1,2,1] => 188
[7,2,4,1,5,3,6] => 101010 => [1,1,1,1,1,1] => 296
[7,2,4,1,5,6,3] => 101001 => [1,1,1,2,1] => 188
[7,2,4,1,6,3,5] => 101010 => [1,1,1,1,1,1] => 296
[7,2,4,1,6,5,3] => 101011 => [1,1,1,1,2] => 188
[7,2,4,3,1,5,6] => 101100 => [1,1,2,2] => 114
[7,2,4,3,1,6,5] => 101101 => [1,1,2,1,1] => 184
[7,2,4,3,5,1,6] => 101010 => [1,1,1,1,1,1] => 296
[7,2,4,3,5,6,1] => 101001 => [1,1,1,2,1] => 188
[7,2,4,3,6,1,5] => 101010 => [1,1,1,1,1,1] => 296
[7,2,4,3,6,5,1] => 101011 => [1,1,1,1,2] => 188
[7,2,4,5,1,3,6] => 100100 => [1,2,1,2] => 112
[7,2,4,5,1,6,3] => 100101 => [1,2,1,1,1] => 180
[7,2,4,5,3,1,6] => 100110 => [1,2,2,1] => 112
[7,2,4,5,3,6,1] => 100101 => [1,2,1,1,1] => 180
[7,2,4,5,6,1,3] => 100010 => [1,3,1,1] => 80
[7,2,4,5,6,3,1] => 100011 => [1,3,2] => 48
[7,2,4,6,1,3,5] => 100100 => [1,2,1,2] => 112
[7,2,4,6,1,5,3] => 100101 => [1,2,1,1,1] => 180
[7,2,4,6,3,1,5] => 100110 => [1,2,2,1] => 112
[7,2,4,6,3,5,1] => 100101 => [1,2,1,1,1] => 180
[7,2,4,6,5,1,3] => 100110 => [1,2,2,1] => 112
[7,2,4,6,5,3,1] => 100111 => [1,2,3] => 48
[7,2,5,1,3,4,6] => 101000 => [1,1,1,3] => 82
[7,2,5,1,3,6,4] => 101001 => [1,1,1,2,1] => 188
[7,2,5,1,4,3,6] => 101010 => [1,1,1,1,1,1] => 296
[7,2,5,1,4,6,3] => 101001 => [1,1,1,2,1] => 188
[7,2,5,1,6,3,4] => 101010 => [1,1,1,1,1,1] => 296
[7,2,5,1,6,4,3] => 101011 => [1,1,1,1,2] => 188
[7,2,5,3,1,4,6] => 101100 => [1,1,2,2] => 114
[7,2,5,3,1,6,4] => 101101 => [1,1,2,1,1] => 184
[7,2,5,3,4,1,6] => 101010 => [1,1,1,1,1,1] => 296
[7,2,5,3,4,6,1] => 101001 => [1,1,1,2,1] => 188
[7,2,5,3,6,1,4] => 101010 => [1,1,1,1,1,1] => 296
[7,2,5,3,6,4,1] => 101011 => [1,1,1,1,2] => 188
[7,2,5,4,1,3,6] => 101100 => [1,1,2,2] => 114
[7,2,5,4,1,6,3] => 101101 => [1,1,2,1,1] => 184
[7,2,5,4,3,1,6] => 101110 => [1,1,3,1] => 82
[7,2,5,4,3,6,1] => 101101 => [1,1,2,1,1] => 184
[7,2,5,4,6,1,3] => 101010 => [1,1,1,1,1,1] => 296
[7,2,5,4,6,3,1] => 101011 => [1,1,1,1,2] => 188
[7,2,5,6,1,3,4] => 100100 => [1,2,1,2] => 112
[7,2,5,6,1,4,3] => 100101 => [1,2,1,1,1] => 180
[7,2,5,6,3,1,4] => 100110 => [1,2,2,1] => 112
[7,2,5,6,3,4,1] => 100101 => [1,2,1,1,1] => 180
[7,2,5,6,4,1,3] => 100110 => [1,2,2,1] => 112
[7,2,5,6,4,3,1] => 100111 => [1,2,3] => 48
[7,2,6,1,3,4,5] => 101000 => [1,1,1,3] => 82
[7,2,6,1,3,5,4] => 101001 => [1,1,1,2,1] => 188
[7,2,6,1,4,3,5] => 101010 => [1,1,1,1,1,1] => 296
[7,2,6,1,4,5,3] => 101001 => [1,1,1,2,1] => 188
[7,2,6,1,5,3,4] => 101010 => [1,1,1,1,1,1] => 296
[7,2,6,1,5,4,3] => 101011 => [1,1,1,1,2] => 188
[7,2,6,3,1,4,5] => 101100 => [1,1,2,2] => 114
[7,2,6,3,1,5,4] => 101101 => [1,1,2,1,1] => 184
[7,2,6,3,4,1,5] => 101010 => [1,1,1,1,1,1] => 296
[7,2,6,3,4,5,1] => 101001 => [1,1,1,2,1] => 188
[7,2,6,3,5,1,4] => 101010 => [1,1,1,1,1,1] => 296
[7,2,6,3,5,4,1] => 101011 => [1,1,1,1,2] => 188
[7,2,6,4,1,3,5] => 101100 => [1,1,2,2] => 114
[7,2,6,4,1,5,3] => 101101 => [1,1,2,1,1] => 184
[7,2,6,4,3,1,5] => 101110 => [1,1,3,1] => 82
[7,2,6,4,3,5,1] => 101101 => [1,1,2,1,1] => 184
[7,2,6,4,5,1,3] => 101010 => [1,1,1,1,1,1] => 296
[7,2,6,4,5,3,1] => 101011 => [1,1,1,1,2] => 188
[7,2,6,5,1,3,4] => 101100 => [1,1,2,2] => 114
[7,2,6,5,1,4,3] => 101101 => [1,1,2,1,1] => 184
[7,2,6,5,3,1,4] => 101110 => [1,1,3,1] => 82
[7,2,6,5,3,4,1] => 101101 => [1,1,2,1,1] => 184
[7,2,6,5,4,1,3] => 101110 => [1,1,3,1] => 82
[7,2,6,5,4,3,1] => 101111 => [1,1,4] => 26
[7,3,1,2,4,5,6] => 110000 => [2,4] => 15
[7,3,1,2,4,6,5] => 110001 => [2,3,1] => 48
[7,3,1,2,5,4,6] => 110010 => [2,2,1,1] => 110
[7,3,1,2,5,6,4] => 110001 => [2,3,1] => 48
[7,3,1,2,6,4,5] => 110010 => [2,2,1,1] => 110
[7,3,1,2,6,5,4] => 110011 => [2,2,2] => 67
[7,3,1,4,2,5,6] => 110100 => [2,1,1,2] => 112
[7,3,1,4,2,6,5] => 110101 => [2,1,1,1,1] => 180
[7,3,1,4,5,2,6] => 110010 => [2,2,1,1] => 110
[7,3,1,4,5,6,2] => 110001 => [2,3,1] => 48
[7,3,1,4,6,2,5] => 110010 => [2,2,1,1] => 110
[7,3,1,4,6,5,2] => 110011 => [2,2,2] => 67
[7,3,1,5,2,4,6] => 110100 => [2,1,1,2] => 112
[7,3,1,5,2,6,4] => 110101 => [2,1,1,1,1] => 180
[7,3,1,5,4,2,6] => 110110 => [2,1,2,1] => 112
[7,3,1,5,4,6,2] => 110101 => [2,1,1,1,1] => 180
[7,3,1,5,6,2,4] => 110010 => [2,2,1,1] => 110
[7,3,1,5,6,4,2] => 110011 => [2,2,2] => 67
[7,3,1,6,2,4,5] => 110100 => [2,1,1,2] => 112
[7,3,1,6,2,5,4] => 110101 => [2,1,1,1,1] => 180
[7,3,1,6,4,2,5] => 110110 => [2,1,2,1] => 112
[7,3,1,6,4,5,2] => 110101 => [2,1,1,1,1] => 180
[7,3,1,6,5,2,4] => 110110 => [2,1,2,1] => 112
[7,3,1,6,5,4,2] => 110111 => [2,1,3] => 48
[7,3,2,1,4,5,6] => 111000 => [3,3] => 20
[7,3,2,1,4,6,5] => 111001 => [3,2,1] => 48
[7,3,2,1,5,4,6] => 111010 => [3,1,1,1] => 80
[7,3,2,1,5,6,4] => 111001 => [3,2,1] => 48
[7,3,2,1,6,4,5] => 111010 => [3,1,1,1] => 80
[7,3,2,1,6,5,4] => 111011 => [3,1,2] => 48
[7,3,2,4,1,5,6] => 110100 => [2,1,1,2] => 112
[7,3,2,4,1,6,5] => 110101 => [2,1,1,1,1] => 180
[7,3,2,4,5,1,6] => 110010 => [2,2,1,1] => 110
[7,3,2,4,5,6,1] => 110001 => [2,3,1] => 48
[7,3,2,4,6,1,5] => 110010 => [2,2,1,1] => 110
[7,3,2,4,6,5,1] => 110011 => [2,2,2] => 67
[7,3,2,5,1,4,6] => 110100 => [2,1,1,2] => 112
[7,3,2,5,1,6,4] => 110101 => [2,1,1,1,1] => 180
[7,3,2,5,4,1,6] => 110110 => [2,1,2,1] => 112
[7,3,2,5,4,6,1] => 110101 => [2,1,1,1,1] => 180
[7,3,2,5,6,1,4] => 110010 => [2,2,1,1] => 110
[7,3,2,5,6,4,1] => 110011 => [2,2,2] => 67
[7,3,2,6,1,4,5] => 110100 => [2,1,1,2] => 112
[7,3,2,6,1,5,4] => 110101 => [2,1,1,1,1] => 180
[7,3,2,6,4,1,5] => 110110 => [2,1,2,1] => 112
[7,3,2,6,4,5,1] => 110101 => [2,1,1,1,1] => 180
[7,3,2,6,5,1,4] => 110110 => [2,1,2,1] => 112
[7,3,2,6,5,4,1] => 110111 => [2,1,3] => 48
[7,3,4,1,2,5,6] => 101000 => [1,1,1,3] => 82
[7,3,4,1,2,6,5] => 101001 => [1,1,1,2,1] => 188
[7,3,4,1,5,2,6] => 101010 => [1,1,1,1,1,1] => 296
[7,3,4,1,5,6,2] => 101001 => [1,1,1,2,1] => 188
[7,3,4,1,6,2,5] => 101010 => [1,1,1,1,1,1] => 296
[7,3,4,1,6,5,2] => 101011 => [1,1,1,1,2] => 188
[7,3,4,2,1,5,6] => 101100 => [1,1,2,2] => 114
[7,3,4,2,1,6,5] => 101101 => [1,1,2,1,1] => 184
[7,3,4,2,5,1,6] => 101010 => [1,1,1,1,1,1] => 296
[7,3,4,2,5,6,1] => 101001 => [1,1,1,2,1] => 188
[7,3,4,2,6,1,5] => 101010 => [1,1,1,1,1,1] => 296
[7,3,4,2,6,5,1] => 101011 => [1,1,1,1,2] => 188
[7,3,4,5,1,2,6] => 100100 => [1,2,1,2] => 112
[7,3,4,5,1,6,2] => 100101 => [1,2,1,1,1] => 180
[7,3,4,5,2,1,6] => 100110 => [1,2,2,1] => 112
[7,3,4,5,2,6,1] => 100101 => [1,2,1,1,1] => 180
[7,3,4,5,6,1,2] => 100010 => [1,3,1,1] => 80
[7,3,4,5,6,2,1] => 100011 => [1,3,2] => 48
[7,3,4,6,1,2,5] => 100100 => [1,2,1,2] => 112
[7,3,4,6,1,5,2] => 100101 => [1,2,1,1,1] => 180
[7,3,4,6,2,1,5] => 100110 => [1,2,2,1] => 112
[7,3,4,6,2,5,1] => 100101 => [1,2,1,1,1] => 180
[7,3,4,6,5,1,2] => 100110 => [1,2,2,1] => 112
[7,3,4,6,5,2,1] => 100111 => [1,2,3] => 48
[7,3,5,1,2,4,6] => 101000 => [1,1,1,3] => 82
[7,3,5,1,2,6,4] => 101001 => [1,1,1,2,1] => 188
[7,3,5,1,4,2,6] => 101010 => [1,1,1,1,1,1] => 296
[7,3,5,1,4,6,2] => 101001 => [1,1,1,2,1] => 188
[7,3,5,1,6,2,4] => 101010 => [1,1,1,1,1,1] => 296
[7,3,5,1,6,4,2] => 101011 => [1,1,1,1,2] => 188
[7,3,5,2,1,4,6] => 101100 => [1,1,2,2] => 114
[7,3,5,2,1,6,4] => 101101 => [1,1,2,1,1] => 184
[7,3,5,2,4,1,6] => 101010 => [1,1,1,1,1,1] => 296
[7,3,5,2,4,6,1] => 101001 => [1,1,1,2,1] => 188
[7,3,5,2,6,1,4] => 101010 => [1,1,1,1,1,1] => 296
[7,3,5,2,6,4,1] => 101011 => [1,1,1,1,2] => 188
[7,3,5,4,1,2,6] => 101100 => [1,1,2,2] => 114
[7,3,5,4,1,6,2] => 101101 => [1,1,2,1,1] => 184
[7,3,5,4,2,1,6] => 101110 => [1,1,3,1] => 82
[7,3,5,4,2,6,1] => 101101 => [1,1,2,1,1] => 184
[7,3,5,4,6,1,2] => 101010 => [1,1,1,1,1,1] => 296
[7,3,5,4,6,2,1] => 101011 => [1,1,1,1,2] => 188
[7,3,5,6,1,2,4] => 100100 => [1,2,1,2] => 112
[7,3,5,6,1,4,2] => 100101 => [1,2,1,1,1] => 180
[7,3,5,6,2,1,4] => 100110 => [1,2,2,1] => 112
[7,3,5,6,2,4,1] => 100101 => [1,2,1,1,1] => 180
[7,3,5,6,4,1,2] => 100110 => [1,2,2,1] => 112
[7,3,5,6,4,2,1] => 100111 => [1,2,3] => 48
[7,3,6,1,2,4,5] => 101000 => [1,1,1,3] => 82
[7,3,6,1,2,5,4] => 101001 => [1,1,1,2,1] => 188
[7,3,6,1,4,2,5] => 101010 => [1,1,1,1,1,1] => 296
[7,3,6,1,4,5,2] => 101001 => [1,1,1,2,1] => 188
[7,3,6,1,5,2,4] => 101010 => [1,1,1,1,1,1] => 296
[7,3,6,1,5,4,2] => 101011 => [1,1,1,1,2] => 188
[7,3,6,2,1,4,5] => 101100 => [1,1,2,2] => 114
[7,3,6,2,1,5,4] => 101101 => [1,1,2,1,1] => 184
[7,3,6,2,4,1,5] => 101010 => [1,1,1,1,1,1] => 296
[7,3,6,2,4,5,1] => 101001 => [1,1,1,2,1] => 188
[7,3,6,2,5,1,4] => 101010 => [1,1,1,1,1,1] => 296
[7,3,6,2,5,4,1] => 101011 => [1,1,1,1,2] => 188
[7,3,6,4,1,2,5] => 101100 => [1,1,2,2] => 114
[7,3,6,4,1,5,2] => 101101 => [1,1,2,1,1] => 184
[7,3,6,4,2,1,5] => 101110 => [1,1,3,1] => 82
[7,3,6,4,2,5,1] => 101101 => [1,1,2,1,1] => 184
[7,3,6,4,5,1,2] => 101010 => [1,1,1,1,1,1] => 296
[7,3,6,4,5,2,1] => 101011 => [1,1,1,1,2] => 188
[7,3,6,5,1,2,4] => 101100 => [1,1,2,2] => 114
[7,3,6,5,1,4,2] => 101101 => [1,1,2,1,1] => 184
[7,3,6,5,2,1,4] => 101110 => [1,1,3,1] => 82
[7,3,6,5,2,4,1] => 101101 => [1,1,2,1,1] => 184
[7,3,6,5,4,1,2] => 101110 => [1,1,3,1] => 82
[7,3,6,5,4,2,1] => 101111 => [1,1,4] => 26
[7,4,1,2,3,5,6] => 110000 => [2,4] => 15
[7,4,1,2,3,6,5] => 110001 => [2,3,1] => 48
[7,4,1,2,5,3,6] => 110010 => [2,2,1,1] => 110
[7,4,1,2,5,6,3] => 110001 => [2,3,1] => 48
[7,4,1,2,6,3,5] => 110010 => [2,2,1,1] => 110
[7,4,1,2,6,5,3] => 110011 => [2,2,2] => 67
[7,4,1,3,2,5,6] => 110100 => [2,1,1,2] => 112
[7,4,1,3,2,6,5] => 110101 => [2,1,1,1,1] => 180
[7,4,1,3,5,2,6] => 110010 => [2,2,1,1] => 110
[7,4,1,3,5,6,2] => 110001 => [2,3,1] => 48
[7,4,1,3,6,2,5] => 110010 => [2,2,1,1] => 110
[7,4,1,3,6,5,2] => 110011 => [2,2,2] => 67
[7,4,1,5,2,3,6] => 110100 => [2,1,1,2] => 112
[7,4,1,5,2,6,3] => 110101 => [2,1,1,1,1] => 180
[7,4,1,5,3,2,6] => 110110 => [2,1,2,1] => 112
[7,4,1,5,3,6,2] => 110101 => [2,1,1,1,1] => 180
[7,4,1,5,6,2,3] => 110010 => [2,2,1,1] => 110
[7,4,1,5,6,3,2] => 110011 => [2,2,2] => 67
[7,4,1,6,2,3,5] => 110100 => [2,1,1,2] => 112
[7,4,1,6,2,5,3] => 110101 => [2,1,1,1,1] => 180
[7,4,1,6,3,2,5] => 110110 => [2,1,2,1] => 112
[7,4,1,6,3,5,2] => 110101 => [2,1,1,1,1] => 180
[7,4,1,6,5,2,3] => 110110 => [2,1,2,1] => 112
[7,4,1,6,5,3,2] => 110111 => [2,1,3] => 48
[7,4,2,1,3,5,6] => 111000 => [3,3] => 20
[7,4,2,1,3,6,5] => 111001 => [3,2,1] => 48
[7,4,2,1,5,3,6] => 111010 => [3,1,1,1] => 80
[7,4,2,1,5,6,3] => 111001 => [3,2,1] => 48
[7,4,2,1,6,3,5] => 111010 => [3,1,1,1] => 80
[7,4,2,1,6,5,3] => 111011 => [3,1,2] => 48
[7,4,2,3,1,5,6] => 110100 => [2,1,1,2] => 112
[7,4,2,3,1,6,5] => 110101 => [2,1,1,1,1] => 180
[7,4,2,3,5,1,6] => 110010 => [2,2,1,1] => 110
[7,4,2,3,5,6,1] => 110001 => [2,3,1] => 48
[7,4,2,3,6,1,5] => 110010 => [2,2,1,1] => 110
[7,4,2,3,6,5,1] => 110011 => [2,2,2] => 67
[7,4,2,5,1,3,6] => 110100 => [2,1,1,2] => 112
[7,4,2,5,1,6,3] => 110101 => [2,1,1,1,1] => 180
[7,4,2,5,3,1,6] => 110110 => [2,1,2,1] => 112
[7,4,2,5,3,6,1] => 110101 => [2,1,1,1,1] => 180
[7,4,2,5,6,1,3] => 110010 => [2,2,1,1] => 110
[7,4,2,5,6,3,1] => 110011 => [2,2,2] => 67
[7,4,2,6,1,3,5] => 110100 => [2,1,1,2] => 112
[7,4,2,6,1,5,3] => 110101 => [2,1,1,1,1] => 180
[7,4,2,6,3,1,5] => 110110 => [2,1,2,1] => 112
[7,4,2,6,3,5,1] => 110101 => [2,1,1,1,1] => 180
[7,4,2,6,5,1,3] => 110110 => [2,1,2,1] => 112
[7,4,2,6,5,3,1] => 110111 => [2,1,3] => 48
[7,4,3,1,2,5,6] => 111000 => [3,3] => 20
[7,4,3,1,2,6,5] => 111001 => [3,2,1] => 48
[7,4,3,1,5,2,6] => 111010 => [3,1,1,1] => 80
[7,4,3,1,5,6,2] => 111001 => [3,2,1] => 48
[7,4,3,1,6,2,5] => 111010 => [3,1,1,1] => 80
[7,4,3,1,6,5,2] => 111011 => [3,1,2] => 48
[7,4,3,2,1,5,6] => 111100 => [4,2] => 15
[7,4,3,2,1,6,5] => 111101 => [4,1,1] => 26
[7,4,3,2,5,1,6] => 111010 => [3,1,1,1] => 80
[7,4,3,2,5,6,1] => 111001 => [3,2,1] => 48
[7,4,3,2,6,1,5] => 111010 => [3,1,1,1] => 80
[7,4,3,2,6,5,1] => 111011 => [3,1,2] => 48
[7,4,3,5,1,2,6] => 110100 => [2,1,1,2] => 112
[7,4,3,5,1,6,2] => 110101 => [2,1,1,1,1] => 180
[7,4,3,5,2,1,6] => 110110 => [2,1,2,1] => 112
[7,4,3,5,2,6,1] => 110101 => [2,1,1,1,1] => 180
[7,4,3,5,6,1,2] => 110010 => [2,2,1,1] => 110
[7,4,3,5,6,2,1] => 110011 => [2,2,2] => 67
[7,4,3,6,1,2,5] => 110100 => [2,1,1,2] => 112
[7,4,3,6,1,5,2] => 110101 => [2,1,1,1,1] => 180
[7,4,3,6,2,1,5] => 110110 => [2,1,2,1] => 112
[7,4,3,6,2,5,1] => 110101 => [2,1,1,1,1] => 180
[7,4,3,6,5,1,2] => 110110 => [2,1,2,1] => 112
[7,4,3,6,5,2,1] => 110111 => [2,1,3] => 48
[7,4,5,1,2,3,6] => 101000 => [1,1,1,3] => 82
[7,4,5,1,2,6,3] => 101001 => [1,1,1,2,1] => 188
[7,4,5,1,3,2,6] => 101010 => [1,1,1,1,1,1] => 296
[7,4,5,1,3,6,2] => 101001 => [1,1,1,2,1] => 188
[7,4,5,1,6,2,3] => 101010 => [1,1,1,1,1,1] => 296
[7,4,5,1,6,3,2] => 101011 => [1,1,1,1,2] => 188
[7,4,5,2,1,3,6] => 101100 => [1,1,2,2] => 114
[7,4,5,2,1,6,3] => 101101 => [1,1,2,1,1] => 184
[7,4,5,2,3,1,6] => 101010 => [1,1,1,1,1,1] => 296
[7,4,5,2,3,6,1] => 101001 => [1,1,1,2,1] => 188
[7,4,5,2,6,1,3] => 101010 => [1,1,1,1,1,1] => 296
[7,4,5,2,6,3,1] => 101011 => [1,1,1,1,2] => 188
[7,4,5,3,1,2,6] => 101100 => [1,1,2,2] => 114
[7,4,5,3,1,6,2] => 101101 => [1,1,2,1,1] => 184
[7,4,5,3,2,1,6] => 101110 => [1,1,3,1] => 82
[7,4,5,3,2,6,1] => 101101 => [1,1,2,1,1] => 184
[7,4,5,3,6,1,2] => 101010 => [1,1,1,1,1,1] => 296
[7,4,5,3,6,2,1] => 101011 => [1,1,1,1,2] => 188
[7,4,5,6,1,2,3] => 100100 => [1,2,1,2] => 112
[7,4,5,6,1,3,2] => 100101 => [1,2,1,1,1] => 180
[7,4,5,6,2,1,3] => 100110 => [1,2,2,1] => 112
[7,4,5,6,2,3,1] => 100101 => [1,2,1,1,1] => 180
[7,4,5,6,3,1,2] => 100110 => [1,2,2,1] => 112
[7,4,5,6,3,2,1] => 100111 => [1,2,3] => 48
[7,4,6,1,2,3,5] => 101000 => [1,1,1,3] => 82
[7,4,6,1,2,5,3] => 101001 => [1,1,1,2,1] => 188
[7,4,6,1,3,2,5] => 101010 => [1,1,1,1,1,1] => 296
[7,4,6,1,3,5,2] => 101001 => [1,1,1,2,1] => 188
[7,4,6,1,5,2,3] => 101010 => [1,1,1,1,1,1] => 296
[7,4,6,1,5,3,2] => 101011 => [1,1,1,1,2] => 188
[7,4,6,2,1,3,5] => 101100 => [1,1,2,2] => 114
[7,4,6,2,1,5,3] => 101101 => [1,1,2,1,1] => 184
[7,4,6,2,3,1,5] => 101010 => [1,1,1,1,1,1] => 296
[7,4,6,2,3,5,1] => 101001 => [1,1,1,2,1] => 188
[7,4,6,2,5,1,3] => 101010 => [1,1,1,1,1,1] => 296
[7,4,6,2,5,3,1] => 101011 => [1,1,1,1,2] => 188
[7,4,6,3,1,2,5] => 101100 => [1,1,2,2] => 114
[7,4,6,3,1,5,2] => 101101 => [1,1,2,1,1] => 184
[7,4,6,3,2,1,5] => 101110 => [1,1,3,1] => 82
[7,4,6,3,2,5,1] => 101101 => [1,1,2,1,1] => 184
[7,4,6,3,5,1,2] => 101010 => [1,1,1,1,1,1] => 296
[7,4,6,3,5,2,1] => 101011 => [1,1,1,1,2] => 188
[7,4,6,5,1,2,3] => 101100 => [1,1,2,2] => 114
[7,4,6,5,1,3,2] => 101101 => [1,1,2,1,1] => 184
[7,4,6,5,2,1,3] => 101110 => [1,1,3,1] => 82
[7,4,6,5,2,3,1] => 101101 => [1,1,2,1,1] => 184
[7,4,6,5,3,1,2] => 101110 => [1,1,3,1] => 82
[7,4,6,5,3,2,1] => 101111 => [1,1,4] => 26
[7,5,1,2,3,4,6] => 110000 => [2,4] => 15
[7,5,1,2,3,6,4] => 110001 => [2,3,1] => 48
[7,5,1,2,4,3,6] => 110010 => [2,2,1,1] => 110
[7,5,1,2,4,6,3] => 110001 => [2,3,1] => 48
[7,5,1,2,6,3,4] => 110010 => [2,2,1,1] => 110
[7,5,1,2,6,4,3] => 110011 => [2,2,2] => 67
[7,5,1,3,2,4,6] => 110100 => [2,1,1,2] => 112
[7,5,1,3,2,6,4] => 110101 => [2,1,1,1,1] => 180
[7,5,1,3,4,2,6] => 110010 => [2,2,1,1] => 110
[7,5,1,3,4,6,2] => 110001 => [2,3,1] => 48
[7,5,1,3,6,2,4] => 110010 => [2,2,1,1] => 110
[7,5,1,3,6,4,2] => 110011 => [2,2,2] => 67
[7,5,1,4,2,3,6] => 110100 => [2,1,1,2] => 112
[7,5,1,4,2,6,3] => 110101 => [2,1,1,1,1] => 180
[7,5,1,4,3,2,6] => 110110 => [2,1,2,1] => 112
[7,5,1,4,3,6,2] => 110101 => [2,1,1,1,1] => 180
[7,5,1,4,6,2,3] => 110010 => [2,2,1,1] => 110
[7,5,1,4,6,3,2] => 110011 => [2,2,2] => 67
[7,5,1,6,2,3,4] => 110100 => [2,1,1,2] => 112
[7,5,1,6,2,4,3] => 110101 => [2,1,1,1,1] => 180
[7,5,1,6,3,2,4] => 110110 => [2,1,2,1] => 112
[7,5,1,6,3,4,2] => 110101 => [2,1,1,1,1] => 180
[7,5,1,6,4,2,3] => 110110 => [2,1,2,1] => 112
[7,5,1,6,4,3,2] => 110111 => [2,1,3] => 48
[7,5,2,1,3,4,6] => 111000 => [3,3] => 20
[7,5,2,1,3,6,4] => 111001 => [3,2,1] => 48
[7,5,2,1,4,3,6] => 111010 => [3,1,1,1] => 80
[7,5,2,1,4,6,3] => 111001 => [3,2,1] => 48
[7,5,2,1,6,3,4] => 111010 => [3,1,1,1] => 80
[7,5,2,1,6,4,3] => 111011 => [3,1,2] => 48
[7,5,2,3,1,4,6] => 110100 => [2,1,1,2] => 112
[7,5,2,3,1,6,4] => 110101 => [2,1,1,1,1] => 180
[7,5,2,3,4,1,6] => 110010 => [2,2,1,1] => 110
[7,5,2,3,4,6,1] => 110001 => [2,3,1] => 48
[7,5,2,3,6,1,4] => 110010 => [2,2,1,1] => 110
[7,5,2,3,6,4,1] => 110011 => [2,2,2] => 67
[7,5,2,4,1,3,6] => 110100 => [2,1,1,2] => 112
[7,5,2,4,1,6,3] => 110101 => [2,1,1,1,1] => 180
[7,5,2,4,3,1,6] => 110110 => [2,1,2,1] => 112
[7,5,2,4,3,6,1] => 110101 => [2,1,1,1,1] => 180
[7,5,2,4,6,1,3] => 110010 => [2,2,1,1] => 110
[7,5,2,4,6,3,1] => 110011 => [2,2,2] => 67
[7,5,2,6,1,3,4] => 110100 => [2,1,1,2] => 112
[7,5,2,6,1,4,3] => 110101 => [2,1,1,1,1] => 180
[7,5,2,6,3,1,4] => 110110 => [2,1,2,1] => 112
[7,5,2,6,3,4,1] => 110101 => [2,1,1,1,1] => 180
[7,5,2,6,4,1,3] => 110110 => [2,1,2,1] => 112
[7,5,2,6,4,3,1] => 110111 => [2,1,3] => 48
[7,5,3,1,2,4,6] => 111000 => [3,3] => 20
[7,5,3,1,2,6,4] => 111001 => [3,2,1] => 48
[7,5,3,1,4,2,6] => 111010 => [3,1,1,1] => 80
[7,5,3,1,4,6,2] => 111001 => [3,2,1] => 48
[7,5,3,1,6,2,4] => 111010 => [3,1,1,1] => 80
[7,5,3,1,6,4,2] => 111011 => [3,1,2] => 48
[7,5,3,2,1,4,6] => 111100 => [4,2] => 15
[7,5,3,2,1,6,4] => 111101 => [4,1,1] => 26
[7,5,3,2,4,1,6] => 111010 => [3,1,1,1] => 80
[7,5,3,2,4,6,1] => 111001 => [3,2,1] => 48
[7,5,3,2,6,1,4] => 111010 => [3,1,1,1] => 80
[7,5,3,2,6,4,1] => 111011 => [3,1,2] => 48
[7,5,3,4,1,2,6] => 110100 => [2,1,1,2] => 112
[7,5,3,4,1,6,2] => 110101 => [2,1,1,1,1] => 180
[7,5,3,4,2,1,6] => 110110 => [2,1,2,1] => 112
[7,5,3,4,2,6,1] => 110101 => [2,1,1,1,1] => 180
[7,5,3,4,6,1,2] => 110010 => [2,2,1,1] => 110
[7,5,3,4,6,2,1] => 110011 => [2,2,2] => 67
[7,5,3,6,1,2,4] => 110100 => [2,1,1,2] => 112
[7,5,3,6,1,4,2] => 110101 => [2,1,1,1,1] => 180
[7,5,3,6,2,1,4] => 110110 => [2,1,2,1] => 112
[7,5,3,6,2,4,1] => 110101 => [2,1,1,1,1] => 180
[7,5,3,6,4,1,2] => 110110 => [2,1,2,1] => 112
[7,5,3,6,4,2,1] => 110111 => [2,1,3] => 48
[7,5,4,1,2,3,6] => 111000 => [3,3] => 20
[7,5,4,1,2,6,3] => 111001 => [3,2,1] => 48
[7,5,4,1,3,2,6] => 111010 => [3,1,1,1] => 80
[7,5,4,1,3,6,2] => 111001 => [3,2,1] => 48
[7,5,4,1,6,2,3] => 111010 => [3,1,1,1] => 80
[7,5,4,1,6,3,2] => 111011 => [3,1,2] => 48
[7,5,4,2,1,3,6] => 111100 => [4,2] => 15
[7,5,4,2,1,6,3] => 111101 => [4,1,1] => 26
[7,5,4,2,3,1,6] => 111010 => [3,1,1,1] => 80
[7,5,4,2,3,6,1] => 111001 => [3,2,1] => 48
[7,5,4,2,6,1,3] => 111010 => [3,1,1,1] => 80
[7,5,4,2,6,3,1] => 111011 => [3,1,2] => 48
[7,5,4,3,1,2,6] => 111100 => [4,2] => 15
[7,5,4,3,1,6,2] => 111101 => [4,1,1] => 26
[7,5,4,3,2,1,6] => 111110 => [5,1] => 6
[7,5,4,3,2,6,1] => 111101 => [4,1,1] => 26
[7,5,4,3,6,1,2] => 111010 => [3,1,1,1] => 80
[7,5,4,3,6,2,1] => 111011 => [3,1,2] => 48
[7,5,4,6,1,2,3] => 110100 => [2,1,1,2] => 112
[7,5,4,6,1,3,2] => 110101 => [2,1,1,1,1] => 180
[7,5,4,6,2,1,3] => 110110 => [2,1,2,1] => 112
[7,5,4,6,2,3,1] => 110101 => [2,1,1,1,1] => 180
[7,5,4,6,3,1,2] => 110110 => [2,1,2,1] => 112
[7,5,4,6,3,2,1] => 110111 => [2,1,3] => 48
[7,5,6,1,2,3,4] => 101000 => [1,1,1,3] => 82
[7,5,6,1,2,4,3] => 101001 => [1,1,1,2,1] => 188
[7,5,6,1,3,2,4] => 101010 => [1,1,1,1,1,1] => 296
[7,5,6,1,3,4,2] => 101001 => [1,1,1,2,1] => 188
[7,5,6,1,4,2,3] => 101010 => [1,1,1,1,1,1] => 296
[7,5,6,1,4,3,2] => 101011 => [1,1,1,1,2] => 188
[7,5,6,2,1,3,4] => 101100 => [1,1,2,2] => 114
[7,5,6,2,1,4,3] => 101101 => [1,1,2,1,1] => 184
[7,5,6,2,3,1,4] => 101010 => [1,1,1,1,1,1] => 296
[7,5,6,2,3,4,1] => 101001 => [1,1,1,2,1] => 188
[7,5,6,2,4,1,3] => 101010 => [1,1,1,1,1,1] => 296
[7,5,6,2,4,3,1] => 101011 => [1,1,1,1,2] => 188
[7,5,6,3,1,2,4] => 101100 => [1,1,2,2] => 114
[7,5,6,3,1,4,2] => 101101 => [1,1,2,1,1] => 184
[7,5,6,3,2,1,4] => 101110 => [1,1,3,1] => 82
[7,5,6,3,2,4,1] => 101101 => [1,1,2,1,1] => 184
[7,5,6,3,4,1,2] => 101010 => [1,1,1,1,1,1] => 296
[7,5,6,3,4,2,1] => 101011 => [1,1,1,1,2] => 188
[7,5,6,4,1,2,3] => 101100 => [1,1,2,2] => 114
[7,5,6,4,1,3,2] => 101101 => [1,1,2,1,1] => 184
[7,5,6,4,2,1,3] => 101110 => [1,1,3,1] => 82
[7,5,6,4,2,3,1] => 101101 => [1,1,2,1,1] => 184
[7,5,6,4,3,1,2] => 101110 => [1,1,3,1] => 82
[7,5,6,4,3,2,1] => 101111 => [1,1,4] => 26
[7,6,1,2,3,4,5] => 110000 => [2,4] => 15
[7,6,1,2,3,5,4] => 110001 => [2,3,1] => 48
[7,6,1,2,4,3,5] => 110010 => [2,2,1,1] => 110
[7,6,1,2,4,5,3] => 110001 => [2,3,1] => 48
[7,6,1,2,5,3,4] => 110010 => [2,2,1,1] => 110
[7,6,1,2,5,4,3] => 110011 => [2,2,2] => 67
[7,6,1,3,2,4,5] => 110100 => [2,1,1,2] => 112
[7,6,1,3,2,5,4] => 110101 => [2,1,1,1,1] => 180
[7,6,1,3,4,2,5] => 110010 => [2,2,1,1] => 110
[7,6,1,3,4,5,2] => 110001 => [2,3,1] => 48
[7,6,1,3,5,2,4] => 110010 => [2,2,1,1] => 110
[7,6,1,3,5,4,2] => 110011 => [2,2,2] => 67
[7,6,1,4,2,3,5] => 110100 => [2,1,1,2] => 112
[7,6,1,4,2,5,3] => 110101 => [2,1,1,1,1] => 180
[7,6,1,4,3,2,5] => 110110 => [2,1,2,1] => 112
[7,6,1,4,3,5,2] => 110101 => [2,1,1,1,1] => 180
[7,6,1,4,5,2,3] => 110010 => [2,2,1,1] => 110
[7,6,1,4,5,3,2] => 110011 => [2,2,2] => 67
[7,6,1,5,2,3,4] => 110100 => [2,1,1,2] => 112
[7,6,1,5,2,4,3] => 110101 => [2,1,1,1,1] => 180
[7,6,1,5,3,2,4] => 110110 => [2,1,2,1] => 112
[7,6,1,5,3,4,2] => 110101 => [2,1,1,1,1] => 180
[7,6,1,5,4,2,3] => 110110 => [2,1,2,1] => 112
[7,6,1,5,4,3,2] => 110111 => [2,1,3] => 48
[7,6,2,1,3,4,5] => 111000 => [3,3] => 20
[7,6,2,1,3,5,4] => 111001 => [3,2,1] => 48
[7,6,2,1,4,3,5] => 111010 => [3,1,1,1] => 80
[7,6,2,1,4,5,3] => 111001 => [3,2,1] => 48
[7,6,2,1,5,3,4] => 111010 => [3,1,1,1] => 80
[7,6,2,1,5,4,3] => 111011 => [3,1,2] => 48
[7,6,2,3,1,4,5] => 110100 => [2,1,1,2] => 112
[7,6,2,3,1,5,4] => 110101 => [2,1,1,1,1] => 180
[7,6,2,3,4,1,5] => 110010 => [2,2,1,1] => 110
[7,6,2,3,4,5,1] => 110001 => [2,3,1] => 48
[7,6,2,3,5,1,4] => 110010 => [2,2,1,1] => 110
[7,6,2,3,5,4,1] => 110011 => [2,2,2] => 67
[7,6,2,4,1,3,5] => 110100 => [2,1,1,2] => 112
[7,6,2,4,1,5,3] => 110101 => [2,1,1,1,1] => 180
[7,6,2,4,3,1,5] => 110110 => [2,1,2,1] => 112
[7,6,2,4,3,5,1] => 110101 => [2,1,1,1,1] => 180
[7,6,2,4,5,1,3] => 110010 => [2,2,1,1] => 110
[7,6,2,4,5,3,1] => 110011 => [2,2,2] => 67
[7,6,2,5,1,3,4] => 110100 => [2,1,1,2] => 112
[7,6,2,5,1,4,3] => 110101 => [2,1,1,1,1] => 180
[7,6,2,5,3,1,4] => 110110 => [2,1,2,1] => 112
[7,6,2,5,3,4,1] => 110101 => [2,1,1,1,1] => 180
[7,6,2,5,4,1,3] => 110110 => [2,1,2,1] => 112
[7,6,2,5,4,3,1] => 110111 => [2,1,3] => 48
[7,6,3,1,2,4,5] => 111000 => [3,3] => 20
[7,6,3,1,2,5,4] => 111001 => [3,2,1] => 48
[7,6,3,1,4,2,5] => 111010 => [3,1,1,1] => 80
[7,6,3,1,4,5,2] => 111001 => [3,2,1] => 48
[7,6,3,1,5,2,4] => 111010 => [3,1,1,1] => 80
[7,6,3,1,5,4,2] => 111011 => [3,1,2] => 48
[7,6,3,2,1,4,5] => 111100 => [4,2] => 15
[7,6,3,2,1,5,4] => 111101 => [4,1,1] => 26
[7,6,3,2,4,1,5] => 111010 => [3,1,1,1] => 80
[7,6,3,2,4,5,1] => 111001 => [3,2,1] => 48
[7,6,3,2,5,1,4] => 111010 => [3,1,1,1] => 80
[7,6,3,2,5,4,1] => 111011 => [3,1,2] => 48
[7,6,3,4,1,2,5] => 110100 => [2,1,1,2] => 112
[7,6,3,4,1,5,2] => 110101 => [2,1,1,1,1] => 180
[7,6,3,4,2,1,5] => 110110 => [2,1,2,1] => 112
[7,6,3,4,2,5,1] => 110101 => [2,1,1,1,1] => 180
[7,6,3,4,5,1,2] => 110010 => [2,2,1,1] => 110
[7,6,3,4,5,2,1] => 110011 => [2,2,2] => 67
[7,6,3,5,1,2,4] => 110100 => [2,1,1,2] => 112
[7,6,3,5,1,4,2] => 110101 => [2,1,1,1,1] => 180
[7,6,3,5,2,1,4] => 110110 => [2,1,2,1] => 112
[7,6,3,5,2,4,1] => 110101 => [2,1,1,1,1] => 180
[7,6,3,5,4,1,2] => 110110 => [2,1,2,1] => 112
[7,6,3,5,4,2,1] => 110111 => [2,1,3] => 48
[7,6,4,1,2,3,5] => 111000 => [3,3] => 20
[7,6,4,1,2,5,3] => 111001 => [3,2,1] => 48
[7,6,4,1,3,2,5] => 111010 => [3,1,1,1] => 80
[7,6,4,1,3,5,2] => 111001 => [3,2,1] => 48
[7,6,4,1,5,2,3] => 111010 => [3,1,1,1] => 80
[7,6,4,1,5,3,2] => 111011 => [3,1,2] => 48
[7,6,4,2,1,3,5] => 111100 => [4,2] => 15
[7,6,4,2,1,5,3] => 111101 => [4,1,1] => 26
[7,6,4,2,3,1,5] => 111010 => [3,1,1,1] => 80
[7,6,4,2,3,5,1] => 111001 => [3,2,1] => 48
[7,6,4,2,5,1,3] => 111010 => [3,1,1,1] => 80
[7,6,4,2,5,3,1] => 111011 => [3,1,2] => 48
[7,6,4,3,1,2,5] => 111100 => [4,2] => 15
[7,6,4,3,1,5,2] => 111101 => [4,1,1] => 26
[7,6,4,3,2,1,5] => 111110 => [5,1] => 6
[7,6,4,3,2,5,1] => 111101 => [4,1,1] => 26
[7,6,4,3,5,1,2] => 111010 => [3,1,1,1] => 80
[7,6,4,3,5,2,1] => 111011 => [3,1,2] => 48
[7,6,4,5,1,2,3] => 110100 => [2,1,1,2] => 112
[7,6,4,5,1,3,2] => 110101 => [2,1,1,1,1] => 180
[7,6,4,5,2,1,3] => 110110 => [2,1,2,1] => 112
[7,6,4,5,2,3,1] => 110101 => [2,1,1,1,1] => 180
[7,6,4,5,3,1,2] => 110110 => [2,1,2,1] => 112
[7,6,4,5,3,2,1] => 110111 => [2,1,3] => 48
[7,6,5,1,2,3,4] => 111000 => [3,3] => 20
[7,6,5,1,2,4,3] => 111001 => [3,2,1] => 48
[7,6,5,1,3,2,4] => 111010 => [3,1,1,1] => 80
[7,6,5,1,3,4,2] => 111001 => [3,2,1] => 48
[7,6,5,1,4,2,3] => 111010 => [3,1,1,1] => 80
[7,6,5,1,4,3,2] => 111011 => [3,1,2] => 48
[7,6,5,2,1,3,4] => 111100 => [4,2] => 15
[7,6,5,2,1,4,3] => 111101 => [4,1,1] => 26
[7,6,5,2,3,1,4] => 111010 => [3,1,1,1] => 80
[7,6,5,2,3,4,1] => 111001 => [3,2,1] => 48
[7,6,5,2,4,1,3] => 111010 => [3,1,1,1] => 80
[7,6,5,2,4,3,1] => 111011 => [3,1,2] => 48
[7,6,5,3,1,2,4] => 111100 => [4,2] => 15
[7,6,5,3,1,4,2] => 111101 => [4,1,1] => 26
[7,6,5,3,2,1,4] => 111110 => [5,1] => 6
[7,6,5,3,2,4,1] => 111101 => [4,1,1] => 26
[7,6,5,3,4,1,2] => 111010 => [3,1,1,1] => 80
[7,6,5,3,4,2,1] => 111011 => [3,1,2] => 48
[7,6,5,4,1,2,3] => 111100 => [4,2] => 15
[7,6,5,4,1,3,2] => 111101 => [4,1,1] => 26
[7,6,5,4,2,1,3] => 111110 => [5,1] => 6
[7,6,5,4,2,3,1] => 111101 => [4,1,1] => 26
[7,6,5,4,3,1,2] => 111110 => [5,1] => 6
[7,6,5,4,3,2,1] => 111111 => [6] => 1
[8,7,6,5,4,3,2,1] => 1111111 => [7] => 1
[7,8,6,5,4,3,2,1] => 0111111 => [1,6] => 7
[8,6,7,5,4,3,2,1] => 1011111 => [1,1,5] => 37
[7,6,8,5,4,3,2,1] => 1011111 => [1,1,5] => 37
[6,7,8,5,4,3,2,1] => 0011111 => [2,5] => 21
[8,7,5,6,4,3,2,1] => 1101111 => [2,1,4] => 85
[7,8,5,6,4,3,2,1] => 0101111 => [1,1,1,4] => 148
[8,6,5,7,4,3,2,1] => 1101111 => [2,1,4] => 85
[8,5,6,7,4,3,2,1] => 1001111 => [1,2,4] => 85
[7,6,5,8,4,3,2,1] => 1101111 => [2,1,4] => 85
[6,7,5,8,4,3,2,1] => 0101111 => [1,1,1,4] => 148
[7,5,6,8,4,3,2,1] => 1001111 => [1,2,4] => 85
[6,5,7,8,4,3,2,1] => 1001111 => [1,2,4] => 85
[5,6,7,8,4,3,2,1] => 0001111 => [3,4] => 35
[8,7,6,4,5,3,2,1] => 1110111 => [3,1,3] => 110
[7,8,6,4,5,3,2,1] => 0110111 => [1,2,1,3] => 262
[8,6,7,4,5,3,2,1] => 1010111 => [1,1,1,1,3] => 450
[7,6,8,4,5,3,2,1] => 1010111 => [1,1,1,1,3] => 450
[8,7,5,4,6,3,2,1] => 1110111 => [3,1,3] => 110
[8,7,4,5,6,3,2,1] => 1100111 => [2,2,3] => 153
[8,6,5,4,7,3,2,1] => 1110111 => [3,1,3] => 110
[8,5,6,4,7,3,2,1] => 1010111 => [1,1,1,1,3] => 450
[8,6,4,5,7,3,2,1] => 1100111 => [2,2,3] => 153
[8,5,4,6,7,3,2,1] => 1100111 => [2,2,3] => 153
[8,4,5,6,7,3,2,1] => 1000111 => [1,3,3] => 110
[7,6,5,4,8,3,2,1] => 1110111 => [3,1,3] => 110
[6,7,5,4,8,3,2,1] => 0110111 => [1,2,1,3] => 262
[7,5,6,4,8,3,2,1] => 1010111 => [1,1,1,1,3] => 450
[6,5,7,4,8,3,2,1] => 1010111 => [1,1,1,1,3] => 450
[5,6,7,4,8,3,2,1] => 0010111 => [2,1,1,3] => 262
[7,6,4,5,8,3,2,1] => 1100111 => [2,2,3] => 153
[6,7,4,5,8,3,2,1] => 0100111 => [1,1,2,3] => 265
[7,5,4,6,8,3,2,1] => 1100111 => [2,2,3] => 153
[7,4,5,6,8,3,2,1] => 1000111 => [1,3,3] => 110
[6,5,4,7,8,3,2,1] => 1100111 => [2,2,3] => 153
[5,6,4,7,8,3,2,1] => 0100111 => [1,1,2,3] => 265
[6,4,5,7,8,3,2,1] => 1000111 => [1,3,3] => 110
[5,4,6,7,8,3,2,1] => 1000111 => [1,3,3] => 110
[4,5,6,7,8,3,2,1] => 0000111 => [4,3] => 35
[8,7,6,5,3,4,2,1] => 1111011 => [4,1,2] => 85
[7,8,6,5,3,4,2,1] => 0111011 => [1,3,1,2] => 259
[8,6,7,5,3,4,2,1] => 1011011 => [1,1,2,1,2] => 611
[7,6,8,5,3,4,2,1] => 1011011 => [1,1,2,1,2] => 611
[8,7,5,6,3,4,2,1] => 1101011 => [2,1,1,1,2] => 603
[7,8,5,6,3,4,2,1] => 0101011 => [1,1,1,1,1,2] => 1023
[8,5,6,7,3,4,2,1] => 1001011 => [1,2,1,1,2] => 603
[7,6,5,8,3,4,2,1] => 1101011 => [2,1,1,1,2] => 603
[6,7,5,8,3,4,2,1] => 0101011 => [1,1,1,1,1,2] => 1023
[6,5,7,8,3,4,2,1] => 1001011 => [1,2,1,1,2] => 603
[5,6,7,8,3,4,2,1] => 0001011 => [3,1,1,2] => 259
[8,7,6,4,3,5,2,1] => 1111011 => [4,1,2] => 85
[7,8,6,4,3,5,2,1] => 0111011 => [1,3,1,2] => 259
[8,6,7,4,3,5,2,1] => 1011011 => [1,1,2,1,2] => 611
[7,6,8,4,3,5,2,1] => 1011011 => [1,1,2,1,2] => 611
[6,7,8,4,3,5,2,1] => 0011011 => [2,2,1,2] => 357
[8,7,6,3,4,5,2,1] => 1110011 => [3,2,2] => 153
[7,8,6,3,4,5,2,1] => 0110011 => [1,2,2,2] => 363
[8,6,7,3,4,5,2,1] => 1010011 => [1,1,1,2,2] => 622
[7,6,8,3,4,5,2,1] => 1010011 => [1,1,1,2,2] => 622
[6,7,8,3,4,5,2,1] => 0010011 => [2,1,2,2] => 363
[8,7,5,4,3,6,2,1] => 1111011 => [4,1,2] => 85
[7,8,5,4,3,6,2,1] => 0111011 => [1,3,1,2] => 259
[8,7,4,5,3,6,2,1] => 1101011 => [2,1,1,1,2] => 603
[8,7,5,3,4,6,2,1] => 1110011 => [3,2,2] => 153
[7,8,5,3,4,6,2,1] => 0110011 => [1,2,2,2] => 363
[8,7,4,3,5,6,2,1] => 1110011 => [3,2,2] => 153
[8,7,3,4,5,6,2,1] => 1100011 => [2,3,2] => 153
[7,8,3,4,5,6,2,1] => 0100011 => [1,1,3,2] => 265
[8,6,5,4,3,7,2,1] => 1111011 => [4,1,2] => 85
[8,6,4,5,3,7,2,1] => 1101011 => [2,1,1,1,2] => 603
[8,6,4,3,5,7,2,1] => 1110011 => [3,2,2] => 153
[8,5,4,3,6,7,2,1] => 1110011 => [3,2,2] => 153
[8,5,3,4,6,7,2,1] => 1100011 => [2,3,2] => 153
[8,4,3,5,6,7,2,1] => 1100011 => [2,3,2] => 153
[8,3,4,5,6,7,2,1] => 1000011 => [1,4,2] => 85
[7,6,5,4,3,8,2,1] => 1111011 => [4,1,2] => 85
[6,7,5,4,3,8,2,1] => 0111011 => [1,3,1,2] => 259
[7,5,6,4,3,8,2,1] => 1011011 => [1,1,2,1,2] => 611
[6,5,7,4,3,8,2,1] => 1011011 => [1,1,2,1,2] => 611
[5,6,7,4,3,8,2,1] => 0011011 => [2,2,1,2] => 357
[6,7,4,5,3,8,2,1] => 0101011 => [1,1,1,1,1,2] => 1023
[7,5,4,6,3,8,2,1] => 1101011 => [2,1,1,1,2] => 603
[7,4,5,6,3,8,2,1] => 1001011 => [1,2,1,1,2] => 603
[6,5,4,7,3,8,2,1] => 1101011 => [2,1,1,1,2] => 603
[6,4,5,7,3,8,2,1] => 1001011 => [1,2,1,1,2] => 603
[5,4,6,7,3,8,2,1] => 1001011 => [1,2,1,1,2] => 603
[4,5,6,7,3,8,2,1] => 0001011 => [3,1,1,2] => 259
[7,6,5,3,4,8,2,1] => 1110011 => [3,2,2] => 153
[7,6,4,3,5,8,2,1] => 1110011 => [3,2,2] => 153
[7,6,3,4,5,8,2,1] => 1100011 => [2,3,2] => 153
[7,5,4,3,6,8,2,1] => 1110011 => [3,2,2] => 153
[7,5,3,4,6,8,2,1] => 1100011 => [2,3,2] => 153
[7,3,4,5,6,8,2,1] => 1000011 => [1,4,2] => 85
[6,5,4,3,7,8,2,1] => 1110011 => [3,2,2] => 153
[4,5,6,3,7,8,2,1] => 0010011 => [2,1,2,2] => 363
[6,5,3,4,7,8,2,1] => 1100011 => [2,3,2] => 153
[6,3,4,5,7,8,2,1] => 1000011 => [1,4,2] => 85
[5,4,3,6,7,8,2,1] => 1100011 => [2,3,2] => 153
[5,3,4,6,7,8,2,1] => 1000011 => [1,4,2] => 85
[4,3,5,6,7,8,2,1] => 1000011 => [1,4,2] => 85
[3,4,5,6,7,8,2,1] => 0000011 => [5,2] => 21
[8,7,6,5,4,2,3,1] => 1111101 => [5,1,1] => 37
[7,8,6,5,4,2,3,1] => 0111101 => [1,4,1,1] => 145
[8,6,7,5,4,2,3,1] => 1011101 => [1,1,3,1,1] => 439
[7,6,8,5,4,2,3,1] => 1011101 => [1,1,3,1,1] => 439
[8,7,5,6,4,2,3,1] => 1101101 => [2,1,2,1,1] => 594
[8,6,5,7,4,2,3,1] => 1101101 => [2,1,2,1,1] => 594
[8,5,6,7,4,2,3,1] => 1001101 => [1,2,2,1,1] => 594
[7,6,5,8,4,2,3,1] => 1101101 => [2,1,2,1,1] => 594
[6,7,5,8,4,2,3,1] => 0101101 => [1,1,1,2,1,1] => 1006
[7,5,6,8,4,2,3,1] => 1001101 => [1,2,2,1,1] => 594
[5,6,7,8,4,2,3,1] => 0001101 => [3,2,1,1] => 256
[8,7,6,4,5,2,3,1] => 1110101 => [3,1,1,1,1] => 427
[8,6,7,4,5,2,3,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,6,8,4,5,2,3,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,7,5,4,6,2,3,1] => 1110101 => [3,1,1,1,1] => 427
[8,7,4,5,6,2,3,1] => 1100101 => [2,2,1,1,1] => 582
[7,8,4,5,6,2,3,1] => 0100101 => [1,1,2,1,1,1] => 984
[8,6,5,4,7,2,3,1] => 1110101 => [3,1,1,1,1] => 427
[8,5,6,4,7,2,3,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,6,4,5,7,2,3,1] => 1100101 => [2,2,1,1,1] => 582
[8,4,5,6,7,2,3,1] => 1000101 => [1,3,1,1,1] => 427
[7,6,5,4,8,2,3,1] => 1110101 => [3,1,1,1,1] => 427
[7,5,6,4,8,2,3,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,5,7,4,8,2,3,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,7,4,5,8,2,3,1] => 0100101 => [1,1,2,1,1,1] => 984
[4,5,6,7,8,2,3,1] => 0000101 => [4,1,1,1] => 145
[8,7,6,5,3,2,4,1] => 1111101 => [5,1,1] => 37
[7,8,6,5,3,2,4,1] => 0111101 => [1,4,1,1] => 145
[8,6,7,5,3,2,4,1] => 1011101 => [1,1,3,1,1] => 439
[7,6,8,5,3,2,4,1] => 1011101 => [1,1,3,1,1] => 439
[6,7,8,5,3,2,4,1] => 0011101 => [2,3,1,1] => 256
[8,7,5,6,3,2,4,1] => 1101101 => [2,1,2,1,1] => 594
[8,6,5,7,3,2,4,1] => 1101101 => [2,1,2,1,1] => 594
[8,5,6,7,3,2,4,1] => 1001101 => [1,2,2,1,1] => 594
[7,6,5,8,3,2,4,1] => 1101101 => [2,1,2,1,1] => 594
[6,7,5,8,3,2,4,1] => 0101101 => [1,1,1,2,1,1] => 1006
[5,6,7,8,3,2,4,1] => 0001101 => [3,2,1,1] => 256
[8,7,6,5,2,3,4,1] => 1111001 => [4,2,1] => 85
[8,6,7,5,2,3,4,1] => 1011001 => [1,1,2,2,1] => 611
[7,6,8,5,2,3,4,1] => 1011001 => [1,1,2,2,1] => 611
[6,7,8,5,2,3,4,1] => 0011001 => [2,2,2,1] => 357
[8,7,5,6,2,3,4,1] => 1101001 => [2,1,1,2,1] => 603
[7,8,5,6,2,3,4,1] => 0101001 => [1,1,1,1,2,1] => 1023
[8,6,5,7,2,3,4,1] => 1101001 => [2,1,1,2,1] => 603
[8,5,6,7,2,3,4,1] => 1001001 => [1,2,1,2,1] => 603
[7,6,5,8,2,3,4,1] => 1101001 => [2,1,1,2,1] => 603
[6,7,5,8,2,3,4,1] => 0101001 => [1,1,1,1,2,1] => 1023
[6,5,7,8,2,3,4,1] => 1001001 => [1,2,1,2,1] => 603
[5,6,7,8,2,3,4,1] => 0001001 => [3,1,2,1] => 259
[8,7,6,4,3,2,5,1] => 1111101 => [5,1,1] => 37
[7,8,6,4,3,2,5,1] => 0111101 => [1,4,1,1] => 145
[8,6,7,4,3,2,5,1] => 1011101 => [1,1,3,1,1] => 439
[7,6,8,4,3,2,5,1] => 1011101 => [1,1,3,1,1] => 439
[6,7,8,4,3,2,5,1] => 0011101 => [2,3,1,1] => 256
[8,7,6,3,4,2,5,1] => 1110101 => [3,1,1,1,1] => 427
[7,8,6,3,4,2,5,1] => 0110101 => [1,2,1,1,1,1] => 969
[8,6,7,3,4,2,5,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,6,8,3,4,2,5,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,7,8,3,4,2,5,1] => 0010101 => [2,1,1,1,1,1] => 969
[8,7,6,4,2,3,5,1] => 1111001 => [4,2,1] => 85
[8,6,7,4,2,3,5,1] => 1011001 => [1,1,2,2,1] => 611
[7,6,8,4,2,3,5,1] => 1011001 => [1,1,2,2,1] => 611
[6,7,8,4,2,3,5,1] => 0011001 => [2,2,2,1] => 357
[8,7,6,3,2,4,5,1] => 1111001 => [4,2,1] => 85
[7,8,6,3,2,4,5,1] => 0111001 => [1,3,2,1] => 259
[8,6,7,3,2,4,5,1] => 1011001 => [1,1,2,2,1] => 611
[6,7,8,3,2,4,5,1] => 0011001 => [2,2,2,1] => 357
[8,7,6,2,3,4,5,1] => 1110001 => [3,3,1] => 110
[7,8,6,2,3,4,5,1] => 0110001 => [1,2,3,1] => 262
[8,6,7,2,3,4,5,1] => 1010001 => [1,1,1,3,1] => 450
[7,6,8,2,3,4,5,1] => 1010001 => [1,1,1,3,1] => 450
[6,7,8,2,3,4,5,1] => 0010001 => [2,1,3,1] => 262
[8,7,5,4,3,2,6,1] => 1111101 => [5,1,1] => 37
[7,8,5,4,3,2,6,1] => 0111101 => [1,4,1,1] => 145
[8,7,5,3,4,2,6,1] => 1110101 => [3,1,1,1,1] => 427
[7,8,5,3,4,2,6,1] => 0110101 => [1,2,1,1,1,1] => 969
[8,7,4,3,5,2,6,1] => 1110101 => [3,1,1,1,1] => 427
[8,7,5,3,2,4,6,1] => 1111001 => [4,2,1] => 85
[8,7,4,3,2,5,6,1] => 1111001 => [4,2,1] => 85
[7,8,4,3,2,5,6,1] => 0111001 => [1,3,2,1] => 259
[7,8,3,4,2,5,6,1] => 0101001 => [1,1,1,1,2,1] => 1023
[7,8,4,2,3,5,6,1] => 0110001 => [1,2,3,1] => 262
[7,8,3,2,4,5,6,1] => 0110001 => [1,2,3,1] => 262
[8,7,2,3,4,5,6,1] => 1100001 => [2,4,1] => 85
[7,8,2,3,4,5,6,1] => 0100001 => [1,1,4,1] => 148
[8,6,5,4,3,2,7,1] => 1111101 => [5,1,1] => 37
[8,5,6,4,3,2,7,1] => 1011101 => [1,1,3,1,1] => 439
[8,6,4,5,3,2,7,1] => 1101101 => [2,1,2,1,1] => 594
[8,5,4,6,3,2,7,1] => 1101101 => [2,1,2,1,1] => 594
[8,6,5,3,4,2,7,1] => 1110101 => [3,1,1,1,1] => 427
[8,5,6,3,4,2,7,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,6,4,3,5,2,7,1] => 1110101 => [3,1,1,1,1] => 427
[8,6,3,4,5,2,7,1] => 1100101 => [2,2,1,1,1] => 582
[8,5,4,3,6,2,7,1] => 1110101 => [3,1,1,1,1] => 427
[8,4,5,3,6,2,7,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,4,3,5,6,2,7,1] => 1100101 => [2,2,1,1,1] => 582
[8,3,4,5,6,2,7,1] => 1000101 => [1,3,1,1,1] => 427
[8,6,5,4,2,3,7,1] => 1111001 => [4,2,1] => 85
[8,5,6,4,2,3,7,1] => 1011001 => [1,1,2,2,1] => 611
[8,6,4,5,2,3,7,1] => 1101001 => [2,1,1,2,1] => 603
[8,6,5,3,2,4,7,1] => 1111001 => [4,2,1] => 85
[8,6,4,3,2,5,7,1] => 1111001 => [4,2,1] => 85
[8,6,4,2,3,5,7,1] => 1110001 => [3,3,1] => 110
[8,6,2,3,4,5,7,1] => 1100001 => [2,4,1] => 85
[8,5,4,3,2,6,7,1] => 1111001 => [4,2,1] => 85
[8,4,5,3,2,6,7,1] => 1011001 => [1,1,2,2,1] => 611
[8,5,3,4,2,6,7,1] => 1101001 => [2,1,1,2,1] => 603
[8,3,4,5,2,6,7,1] => 1001001 => [1,2,1,2,1] => 603
[8,5,4,2,3,6,7,1] => 1110001 => [3,3,1] => 110
[8,4,5,2,3,6,7,1] => 1010001 => [1,1,1,3,1] => 450
[8,5,2,3,4,6,7,1] => 1100001 => [2,4,1] => 85
[8,4,3,2,5,6,7,1] => 1110001 => [3,3,1] => 110
[8,3,4,2,5,6,7,1] => 1010001 => [1,1,1,3,1] => 450
[8,4,2,3,5,6,7,1] => 1100001 => [2,4,1] => 85
[8,3,2,4,5,6,7,1] => 1100001 => [2,4,1] => 85
[8,2,3,4,5,6,7,1] => 1000001 => [1,5,1] => 37
[7,6,5,4,3,2,8,1] => 1111101 => [5,1,1] => 37
[6,7,5,4,3,2,8,1] => 0111101 => [1,4,1,1] => 145
[7,5,6,4,3,2,8,1] => 1011101 => [1,1,3,1,1] => 439
[6,5,7,4,3,2,8,1] => 1011101 => [1,1,3,1,1] => 439
[5,6,7,4,3,2,8,1] => 0011101 => [2,3,1,1] => 256
[7,6,4,5,3,2,8,1] => 1101101 => [2,1,2,1,1] => 594
[6,7,4,5,3,2,8,1] => 0101101 => [1,1,1,2,1,1] => 1006
[7,4,5,6,3,2,8,1] => 1001101 => [1,2,2,1,1] => 594
[6,5,4,7,3,2,8,1] => 1101101 => [2,1,2,1,1] => 594
[6,4,5,7,3,2,8,1] => 1001101 => [1,2,2,1,1] => 594
[4,5,6,7,3,2,8,1] => 0001101 => [3,2,1,1] => 256
[7,6,5,3,4,2,8,1] => 1110101 => [3,1,1,1,1] => 427
[7,5,6,3,4,2,8,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,5,7,3,4,2,8,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,6,7,3,4,2,8,1] => 0010101 => [2,1,1,1,1,1] => 969
[7,6,4,3,5,2,8,1] => 1110101 => [3,1,1,1,1] => 427
[7,6,3,4,5,2,8,1] => 1100101 => [2,2,1,1,1] => 582
[7,5,4,3,6,2,8,1] => 1110101 => [3,1,1,1,1] => 427
[7,4,5,3,6,2,8,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,5,3,4,6,2,8,1] => 1100101 => [2,2,1,1,1] => 582
[7,3,4,5,6,2,8,1] => 1000101 => [1,3,1,1,1] => 427
[6,5,4,3,7,2,8,1] => 1110101 => [3,1,1,1,1] => 427
[6,4,5,3,7,2,8,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,4,6,3,7,2,8,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,5,6,3,7,2,8,1] => 0010101 => [2,1,1,1,1,1] => 969
[6,5,3,4,7,2,8,1] => 1100101 => [2,2,1,1,1] => 582
[5,6,3,4,7,2,8,1] => 0100101 => [1,1,2,1,1,1] => 984
[6,4,3,5,7,2,8,1] => 1100101 => [2,2,1,1,1] => 582
[6,3,4,5,7,2,8,1] => 1000101 => [1,3,1,1,1] => 427
[5,4,3,6,7,2,8,1] => 1100101 => [2,2,1,1,1] => 582
[4,5,3,6,7,2,8,1] => 0100101 => [1,1,2,1,1,1] => 984
[4,3,5,6,7,2,8,1] => 1000101 => [1,3,1,1,1] => 427
[3,4,5,6,7,2,8,1] => 0000101 => [4,1,1,1] => 145
[7,6,5,4,2,3,8,1] => 1111001 => [4,2,1] => 85
[6,7,5,4,2,3,8,1] => 0111001 => [1,3,2,1] => 259
[7,5,6,4,2,3,8,1] => 1011001 => [1,1,2,2,1] => 611
[6,5,7,4,2,3,8,1] => 1011001 => [1,1,2,2,1] => 611
[5,6,7,4,2,3,8,1] => 0011001 => [2,2,2,1] => 357
[7,6,4,5,2,3,8,1] => 1101001 => [2,1,1,2,1] => 603
[6,7,4,5,2,3,8,1] => 0101001 => [1,1,1,1,2,1] => 1023
[7,5,4,6,2,3,8,1] => 1101001 => [2,1,1,2,1] => 603
[7,4,5,6,2,3,8,1] => 1001001 => [1,2,1,2,1] => 603
[6,5,4,7,2,3,8,1] => 1101001 => [2,1,1,2,1] => 603
[5,6,4,7,2,3,8,1] => 0101001 => [1,1,1,1,2,1] => 1023
[6,4,5,7,2,3,8,1] => 1001001 => [1,2,1,2,1] => 603
[5,4,6,7,2,3,8,1] => 1001001 => [1,2,1,2,1] => 603
[4,5,6,7,2,3,8,1] => 0001001 => [3,1,2,1] => 259
[7,6,5,3,2,4,8,1] => 1111001 => [4,2,1] => 85
[6,7,5,3,2,4,8,1] => 0111001 => [1,3,2,1] => 259
[6,5,7,3,2,4,8,1] => 1011001 => [1,1,2,2,1] => 611
[7,6,5,2,3,4,8,1] => 1110001 => [3,3,1] => 110
[7,5,6,2,3,4,8,1] => 1010001 => [1,1,1,3,1] => 450
[5,6,7,2,3,4,8,1] => 0010001 => [2,1,3,1] => 262
[6,7,4,3,2,5,8,1] => 0111001 => [1,3,2,1] => 259
[7,6,4,2,3,5,8,1] => 1110001 => [3,3,1] => 110
[7,6,3,2,4,5,8,1] => 1110001 => [3,3,1] => 110
[6,7,3,2,4,5,8,1] => 0110001 => [1,2,3,1] => 262
[7,6,2,3,4,5,8,1] => 1100001 => [2,4,1] => 85
[6,7,2,3,4,5,8,1] => 0100001 => [1,1,4,1] => 148
[7,5,4,3,2,6,8,1] => 1111001 => [4,2,1] => 85
[7,4,3,5,2,6,8,1] => 1101001 => [2,1,1,2,1] => 603
[7,5,4,2,3,6,8,1] => 1110001 => [3,3,1] => 110
[7,4,5,2,3,6,8,1] => 1010001 => [1,1,1,3,1] => 450
[7,5,3,2,4,6,8,1] => 1110001 => [3,3,1] => 110
[7,5,2,3,4,6,8,1] => 1100001 => [2,4,1] => 85
[7,4,3,2,5,6,8,1] => 1110001 => [3,3,1] => 110
[7,4,2,3,5,6,8,1] => 1100001 => [2,4,1] => 85
[7,3,2,4,5,6,8,1] => 1100001 => [2,4,1] => 85
[7,2,3,4,5,6,8,1] => 1000001 => [1,5,1] => 37
[6,5,4,3,2,7,8,1] => 1111001 => [4,2,1] => 85
[5,4,6,3,2,7,8,1] => 1011001 => [1,1,2,2,1] => 611
[4,5,6,3,2,7,8,1] => 0011001 => [2,2,2,1] => 357
[6,5,3,4,2,7,8,1] => 1101001 => [2,1,1,2,1] => 603
[6,3,4,5,2,7,8,1] => 1001001 => [1,2,1,2,1] => 603
[5,4,3,6,2,7,8,1] => 1101001 => [2,1,1,2,1] => 603
[4,3,5,6,2,7,8,1] => 1001001 => [1,2,1,2,1] => 603
[3,4,5,6,2,7,8,1] => 0001001 => [3,1,2,1] => 259
[6,5,4,2,3,7,8,1] => 1110001 => [3,3,1] => 110
[5,6,4,2,3,7,8,1] => 0110001 => [1,2,3,1] => 262
[6,4,5,2,3,7,8,1] => 1010001 => [1,1,1,3,1] => 450
[5,4,6,2,3,7,8,1] => 1010001 => [1,1,1,3,1] => 450
[4,5,6,2,3,7,8,1] => 0010001 => [2,1,3,1] => 262
[6,5,3,2,4,7,8,1] => 1110001 => [3,3,1] => 110
[6,5,2,3,4,7,8,1] => 1100001 => [2,4,1] => 85
[6,2,3,4,5,7,8,1] => 1000001 => [1,5,1] => 37
[5,4,3,2,6,7,8,1] => 1110001 => [3,3,1] => 110
[4,5,3,2,6,7,8,1] => 0110001 => [1,2,3,1] => 262
[5,3,4,2,6,7,8,1] => 1010001 => [1,1,1,3,1] => 450
[4,3,5,2,6,7,8,1] => 1010001 => [1,1,1,3,1] => 450
[3,4,5,2,6,7,8,1] => 0010001 => [2,1,3,1] => 262
[5,4,2,3,6,7,8,1] => 1100001 => [2,4,1] => 85
[4,5,2,3,6,7,8,1] => 0100001 => [1,1,4,1] => 148
[5,3,2,4,6,7,8,1] => 1100001 => [2,4,1] => 85
[5,2,3,4,6,7,8,1] => 1000001 => [1,5,1] => 37
[4,3,2,5,6,7,8,1] => 1100001 => [2,4,1] => 85
[3,4,2,5,6,7,8,1] => 0100001 => [1,1,4,1] => 148
[4,2,3,5,6,7,8,1] => 1000001 => [1,5,1] => 37
[3,2,4,5,6,7,8,1] => 1000001 => [1,5,1] => 37
[2,3,4,5,6,7,8,1] => 0000001 => [6,1] => 7
[8,7,6,5,4,3,1,2] => 1111110 => [6,1] => 7
[7,8,6,5,4,3,1,2] => 0111110 => [1,5,1] => 37
[8,6,7,5,4,3,1,2] => 1011110 => [1,1,4,1] => 148
[7,6,8,5,4,3,1,2] => 1011110 => [1,1,4,1] => 148
[6,7,8,5,4,3,1,2] => 0011110 => [2,4,1] => 85
[8,7,5,6,4,3,1,2] => 1101110 => [2,1,3,1] => 262
[7,8,5,6,4,3,1,2] => 0101110 => [1,1,1,3,1] => 450
[8,6,5,7,4,3,1,2] => 1101110 => [2,1,3,1] => 262
[7,6,5,8,4,3,1,2] => 1101110 => [2,1,3,1] => 262
[6,7,5,8,4,3,1,2] => 0101110 => [1,1,1,3,1] => 450
[7,5,6,8,4,3,1,2] => 1001110 => [1,2,3,1] => 262
[6,5,7,8,4,3,1,2] => 1001110 => [1,2,3,1] => 262
[5,6,7,8,4,3,1,2] => 0001110 => [3,3,1] => 110
[8,7,6,4,5,3,1,2] => 1110110 => [3,1,2,1] => 259
[7,8,6,4,5,3,1,2] => 0110110 => [1,2,1,2,1] => 603
[8,6,7,4,5,3,1,2] => 1010110 => [1,1,1,1,2,1] => 1023
[6,7,8,4,5,3,1,2] => 0010110 => [2,1,1,2,1] => 603
[8,7,5,4,6,3,1,2] => 1110110 => [3,1,2,1] => 259
[8,5,6,4,7,3,1,2] => 1010110 => [1,1,1,1,2,1] => 1023
[8,6,4,5,7,3,1,2] => 1100110 => [2,2,2,1] => 357
[8,5,4,6,7,3,1,2] => 1100110 => [2,2,2,1] => 357
[7,6,5,4,8,3,1,2] => 1110110 => [3,1,2,1] => 259
[7,5,6,4,8,3,1,2] => 1010110 => [1,1,1,1,2,1] => 1023
[6,5,7,4,8,3,1,2] => 1010110 => [1,1,1,1,2,1] => 1023
[7,6,4,5,8,3,1,2] => 1100110 => [2,2,2,1] => 357
[6,7,4,5,8,3,1,2] => 0100110 => [1,1,2,2,1] => 611
[6,5,4,7,8,3,1,2] => 1100110 => [2,2,2,1] => 357
[5,6,4,7,8,3,1,2] => 0100110 => [1,1,2,2,1] => 611
[5,4,6,7,8,3,1,2] => 1000110 => [1,3,2,1] => 259
[4,5,6,7,8,3,1,2] => 0000110 => [4,2,1] => 85
[8,7,6,5,3,4,1,2] => 1111010 => [4,1,1,1] => 145
[7,8,6,5,3,4,1,2] => 0111010 => [1,3,1,1,1] => 427
[7,6,8,5,3,4,1,2] => 1011010 => [1,1,2,1,1,1] => 984
[6,7,8,5,3,4,1,2] => 0011010 => [2,2,1,1,1] => 582
[8,7,5,6,3,4,1,2] => 1101010 => [2,1,1,1,1,1] => 969
[7,8,5,6,3,4,1,2] => 0101010 => [1,1,1,1,1,1,1] => 1623
[8,6,5,7,3,4,1,2] => 1101010 => [2,1,1,1,1,1] => 969
[8,5,6,7,3,4,1,2] => 1001010 => [1,2,1,1,1,1] => 969
[7,6,5,8,3,4,1,2] => 1101010 => [2,1,1,1,1,1] => 969
[6,7,5,8,3,4,1,2] => 0101010 => [1,1,1,1,1,1,1] => 1623
[7,5,6,8,3,4,1,2] => 1001010 => [1,2,1,1,1,1] => 969
[6,5,7,8,3,4,1,2] => 1001010 => [1,2,1,1,1,1] => 969
[5,6,7,8,3,4,1,2] => 0001010 => [3,1,1,1,1] => 427
[6,7,8,4,3,5,1,2] => 0011010 => [2,2,1,1,1] => 582
[8,7,6,3,4,5,1,2] => 1110010 => [3,2,1,1] => 256
[8,6,7,3,4,5,1,2] => 1010010 => [1,1,1,2,1,1] => 1006
[7,8,5,4,3,6,1,2] => 0111010 => [1,3,1,1,1] => 427
[8,7,4,5,3,6,1,2] => 1101010 => [2,1,1,1,1,1] => 969
[7,8,4,5,3,6,1,2] => 0101010 => [1,1,1,1,1,1,1] => 1623
[7,8,5,3,4,6,1,2] => 0110010 => [1,2,2,1,1] => 594
[8,7,4,3,5,6,1,2] => 1110010 => [3,2,1,1] => 256
[7,8,4,3,5,6,1,2] => 0110010 => [1,2,2,1,1] => 594
[8,7,3,4,5,6,1,2] => 1100010 => [2,3,1,1] => 256
[7,8,3,4,5,6,1,2] => 0100010 => [1,1,3,1,1] => 439
[8,6,5,4,3,7,1,2] => 1111010 => [4,1,1,1] => 145
[8,5,4,3,6,7,1,2] => 1110010 => [3,2,1,1] => 256
[8,5,3,4,6,7,1,2] => 1100010 => [2,3,1,1] => 256
[8,4,3,5,6,7,1,2] => 1100010 => [2,3,1,1] => 256
[8,3,4,5,6,7,1,2] => 1000010 => [1,4,1,1] => 145
[7,6,5,4,3,8,1,2] => 1111010 => [4,1,1,1] => 145
[7,5,6,4,3,8,1,2] => 1011010 => [1,1,2,1,1,1] => 984
[6,5,7,4,3,8,1,2] => 1011010 => [1,1,2,1,1,1] => 984
[5,6,7,4,3,8,1,2] => 0011010 => [2,2,1,1,1] => 582
[6,7,4,5,3,8,1,2] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,6,4,7,3,8,1,2] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,4,6,7,3,8,1,2] => 1001010 => [1,2,1,1,1,1] => 969
[4,5,6,7,3,8,1,2] => 0001010 => [3,1,1,1,1] => 427
[7,6,5,3,4,8,1,2] => 1110010 => [3,2,1,1] => 256
[7,5,6,3,4,8,1,2] => 1010010 => [1,1,1,2,1,1] => 1006
[5,6,7,3,4,8,1,2] => 0010010 => [2,1,2,1,1] => 594
[7,6,4,3,5,8,1,2] => 1110010 => [3,2,1,1] => 256
[7,6,3,4,5,8,1,2] => 1100010 => [2,3,1,1] => 256
[7,5,4,3,6,8,1,2] => 1110010 => [3,2,1,1] => 256
[7,5,3,4,6,8,1,2] => 1100010 => [2,3,1,1] => 256
[7,3,4,5,6,8,1,2] => 1000010 => [1,4,1,1] => 145
[6,5,4,3,7,8,1,2] => 1110010 => [3,2,1,1] => 256
[5,6,4,3,7,8,1,2] => 0110010 => [1,2,2,1,1] => 594
[5,4,6,3,7,8,1,2] => 1010010 => [1,1,1,2,1,1] => 1006
[4,5,6,3,7,8,1,2] => 0010010 => [2,1,2,1,1] => 594
[6,5,3,4,7,8,1,2] => 1100010 => [2,3,1,1] => 256
[5,6,3,4,7,8,1,2] => 0100010 => [1,1,3,1,1] => 439
[6,4,3,5,7,8,1,2] => 1100010 => [2,3,1,1] => 256
[6,3,4,5,7,8,1,2] => 1000010 => [1,4,1,1] => 145
[5,4,3,6,7,8,1,2] => 1100010 => [2,3,1,1] => 256
[4,5,3,6,7,8,1,2] => 0100010 => [1,1,3,1,1] => 439
[5,3,4,6,7,8,1,2] => 1000010 => [1,4,1,1] => 145
[4,3,5,6,7,8,1,2] => 1000010 => [1,4,1,1] => 145
[3,4,5,6,7,8,1,2] => 0000010 => [5,1,1] => 37
[8,7,6,5,4,2,1,3] => 1111110 => [6,1] => 7
[7,8,6,5,4,2,1,3] => 0111110 => [1,5,1] => 37
[8,6,7,5,4,2,1,3] => 1011110 => [1,1,4,1] => 148
[7,6,8,5,4,2,1,3] => 1011110 => [1,1,4,1] => 148
[6,7,8,5,4,2,1,3] => 0011110 => [2,4,1] => 85
[8,7,5,6,4,2,1,3] => 1101110 => [2,1,3,1] => 262
[7,8,5,6,4,2,1,3] => 0101110 => [1,1,1,3,1] => 450
[8,6,5,7,4,2,1,3] => 1101110 => [2,1,3,1] => 262
[7,6,5,8,4,2,1,3] => 1101110 => [2,1,3,1] => 262
[6,7,5,8,4,2,1,3] => 0101110 => [1,1,1,3,1] => 450
[7,5,6,8,4,2,1,3] => 1001110 => [1,2,3,1] => 262
[6,5,7,8,4,2,1,3] => 1001110 => [1,2,3,1] => 262
[5,6,7,8,4,2,1,3] => 0001110 => [3,3,1] => 110
[8,7,6,4,5,2,1,3] => 1110110 => [3,1,2,1] => 259
[8,6,7,4,5,2,1,3] => 1010110 => [1,1,1,1,2,1] => 1023
[7,6,8,4,5,2,1,3] => 1010110 => [1,1,1,1,2,1] => 1023
[8,7,4,5,6,2,1,3] => 1100110 => [2,2,2,1] => 357
[8,6,5,4,7,2,1,3] => 1110110 => [3,1,2,1] => 259
[8,6,4,5,7,2,1,3] => 1100110 => [2,2,2,1] => 357
[8,4,5,6,7,2,1,3] => 1000110 => [1,3,2,1] => 259
[7,6,5,4,8,2,1,3] => 1110110 => [3,1,2,1] => 259
[6,7,5,4,8,2,1,3] => 0110110 => [1,2,1,2,1] => 603
[7,5,6,4,8,2,1,3] => 1010110 => [1,1,1,1,2,1] => 1023
[6,5,7,4,8,2,1,3] => 1010110 => [1,1,1,1,2,1] => 1023
[5,6,7,4,8,2,1,3] => 0010110 => [2,1,1,2,1] => 603
[7,6,4,5,8,2,1,3] => 1100110 => [2,2,2,1] => 357
[7,4,5,6,8,2,1,3] => 1000110 => [1,3,2,1] => 259
[5,4,6,7,8,2,1,3] => 1000110 => [1,3,2,1] => 259
[4,5,6,7,8,2,1,3] => 0000110 => [4,2,1] => 85
[8,7,6,5,4,1,2,3] => 1111100 => [5,2] => 21
[7,8,6,5,4,1,2,3] => 0111100 => [1,4,2] => 85
[7,6,8,5,4,1,2,3] => 1011100 => [1,1,3,2] => 265
[6,7,8,5,4,1,2,3] => 0011100 => [2,3,2] => 153
[7,8,5,6,4,1,2,3] => 0101100 => [1,1,1,2,2] => 622
[8,6,5,7,4,1,2,3] => 1101100 => [2,1,2,2] => 363
[8,5,6,7,4,1,2,3] => 1001100 => [1,2,2,2] => 363
[7,6,5,8,4,1,2,3] => 1101100 => [2,1,2,2] => 363
[6,7,5,8,4,1,2,3] => 0101100 => [1,1,1,2,2] => 622
[7,5,6,8,4,1,2,3] => 1001100 => [1,2,2,2] => 363
[6,5,7,8,4,1,2,3] => 1001100 => [1,2,2,2] => 363
[5,6,7,8,4,1,2,3] => 0001100 => [3,2,2] => 153
[8,7,6,4,5,1,2,3] => 1110100 => [3,1,1,2] => 259
[8,6,7,4,5,1,2,3] => 1010100 => [1,1,1,1,1,2] => 1023
[6,7,8,4,5,1,2,3] => 0010100 => [2,1,1,1,2] => 603
[8,7,5,4,6,1,2,3] => 1110100 => [3,1,1,2] => 259
[7,8,5,4,6,1,2,3] => 0110100 => [1,2,1,1,2] => 603
[8,7,4,5,6,1,2,3] => 1100100 => [2,2,1,2] => 357
[7,8,4,5,6,1,2,3] => 0100100 => [1,1,2,1,2] => 611
[8,5,6,4,7,1,2,3] => 1010100 => [1,1,1,1,1,2] => 1023
[8,6,4,5,7,1,2,3] => 1100100 => [2,2,1,2] => 357
[8,5,4,6,7,1,2,3] => 1100100 => [2,2,1,2] => 357
[8,4,5,6,7,1,2,3] => 1000100 => [1,3,1,2] => 259
[7,6,5,4,8,1,2,3] => 1110100 => [3,1,1,2] => 259
[6,7,5,4,8,1,2,3] => 0110100 => [1,2,1,1,2] => 603
[7,5,6,4,8,1,2,3] => 1010100 => [1,1,1,1,1,2] => 1023
[6,5,7,4,8,1,2,3] => 1010100 => [1,1,1,1,1,2] => 1023
[5,6,7,4,8,1,2,3] => 0010100 => [2,1,1,1,2] => 603
[7,6,4,5,8,1,2,3] => 1100100 => [2,2,1,2] => 357
[6,7,4,5,8,1,2,3] => 0100100 => [1,1,2,1,2] => 611
[7,5,4,6,8,1,2,3] => 1100100 => [2,2,1,2] => 357
[7,4,5,6,8,1,2,3] => 1000100 => [1,3,1,2] => 259
[6,5,4,7,8,1,2,3] => 1100100 => [2,2,1,2] => 357
[5,6,4,7,8,1,2,3] => 0100100 => [1,1,2,1,2] => 611
[6,4,5,7,8,1,2,3] => 1000100 => [1,3,1,2] => 259
[5,4,6,7,8,1,2,3] => 1000100 => [1,3,1,2] => 259
[4,5,6,7,8,1,2,3] => 0000100 => [4,1,2] => 85
[8,7,6,5,3,2,1,4] => 1111110 => [6,1] => 7
[7,8,6,5,3,2,1,4] => 0111110 => [1,5,1] => 37
[8,6,7,5,3,2,1,4] => 1011110 => [1,1,4,1] => 148
[7,6,8,5,3,2,1,4] => 1011110 => [1,1,4,1] => 148
[6,7,8,5,3,2,1,4] => 0011110 => [2,4,1] => 85
[8,7,5,6,3,2,1,4] => 1101110 => [2,1,3,1] => 262
[7,8,5,6,3,2,1,4] => 0101110 => [1,1,1,3,1] => 450
[8,6,5,7,3,2,1,4] => 1101110 => [2,1,3,1] => 262
[8,5,6,7,3,2,1,4] => 1001110 => [1,2,3,1] => 262
[7,6,5,8,3,2,1,4] => 1101110 => [2,1,3,1] => 262
[6,7,5,8,3,2,1,4] => 0101110 => [1,1,1,3,1] => 450
[7,5,6,8,3,2,1,4] => 1001110 => [1,2,3,1] => 262
[6,5,7,8,3,2,1,4] => 1001110 => [1,2,3,1] => 262
[5,6,7,8,3,2,1,4] => 0001110 => [3,3,1] => 110
[8,7,6,5,2,3,1,4] => 1111010 => [4,1,1,1] => 145
[7,8,6,5,2,3,1,4] => 0111010 => [1,3,1,1,1] => 427
[8,6,7,5,2,3,1,4] => 1011010 => [1,1,2,1,1,1] => 984
[7,6,8,5,2,3,1,4] => 1011010 => [1,1,2,1,1,1] => 984
[6,7,8,5,2,3,1,4] => 0011010 => [2,2,1,1,1] => 582
[8,7,5,6,2,3,1,4] => 1101010 => [2,1,1,1,1,1] => 969
[7,8,5,6,2,3,1,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[8,6,5,7,2,3,1,4] => 1101010 => [2,1,1,1,1,1] => 969
[8,5,6,7,2,3,1,4] => 1001010 => [1,2,1,1,1,1] => 969
[7,6,5,8,2,3,1,4] => 1101010 => [2,1,1,1,1,1] => 969
[6,7,5,8,2,3,1,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[7,5,6,8,2,3,1,4] => 1001010 => [1,2,1,1,1,1] => 969
[6,5,7,8,2,3,1,4] => 1001010 => [1,2,1,1,1,1] => 969
[5,6,7,8,2,3,1,4] => 0001010 => [3,1,1,1,1] => 427
[8,7,6,5,3,1,2,4] => 1111100 => [5,2] => 21
[7,8,6,5,3,1,2,4] => 0111100 => [1,4,2] => 85
[8,6,7,5,3,1,2,4] => 1011100 => [1,1,3,2] => 265
[7,6,8,5,3,1,2,4] => 1011100 => [1,1,3,2] => 265
[8,7,5,6,3,1,2,4] => 1101100 => [2,1,2,2] => 363
[7,8,5,6,3,1,2,4] => 0101100 => [1,1,1,2,2] => 622
[7,6,5,8,3,1,2,4] => 1101100 => [2,1,2,2] => 363
[6,7,5,8,3,1,2,4] => 0101100 => [1,1,1,2,2] => 622
[7,5,6,8,3,1,2,4] => 1001100 => [1,2,2,2] => 363
[6,5,7,8,3,1,2,4] => 1001100 => [1,2,2,2] => 363
[5,6,7,8,3,1,2,4] => 0001100 => [3,2,2] => 153
[8,7,6,5,2,1,3,4] => 1111100 => [5,2] => 21
[7,8,6,5,2,1,3,4] => 0111100 => [1,4,2] => 85
[7,6,8,5,2,1,3,4] => 1011100 => [1,1,3,2] => 265
[6,7,8,5,2,1,3,4] => 0011100 => [2,3,2] => 153
[8,7,5,6,2,1,3,4] => 1101100 => [2,1,2,2] => 363
[7,8,5,6,2,1,3,4] => 0101100 => [1,1,1,2,2] => 622
[8,6,5,7,2,1,3,4] => 1101100 => [2,1,2,2] => 363
[8,5,6,7,2,1,3,4] => 1001100 => [1,2,2,2] => 363
[7,6,5,8,2,1,3,4] => 1101100 => [2,1,2,2] => 363
[6,7,5,8,2,1,3,4] => 0101100 => [1,1,1,2,2] => 622
[7,5,6,8,2,1,3,4] => 1001100 => [1,2,2,2] => 363
[6,5,7,8,2,1,3,4] => 1001100 => [1,2,2,2] => 363
[5,6,7,8,2,1,3,4] => 0001100 => [3,2,2] => 153
[8,7,6,5,1,2,3,4] => 1111000 => [4,3] => 35
[7,8,6,5,1,2,3,4] => 0111000 => [1,3,3] => 110
[8,6,7,5,1,2,3,4] => 1011000 => [1,1,2,3] => 265
[7,6,8,5,1,2,3,4] => 1011000 => [1,1,2,3] => 265
[6,7,8,5,1,2,3,4] => 0011000 => [2,2,3] => 153
[8,7,5,6,1,2,3,4] => 1101000 => [2,1,1,3] => 262
[7,8,5,6,1,2,3,4] => 0101000 => [1,1,1,1,3] => 450
[8,6,5,7,1,2,3,4] => 1101000 => [2,1,1,3] => 262
[8,5,6,7,1,2,3,4] => 1001000 => [1,2,1,3] => 262
[7,6,5,8,1,2,3,4] => 1101000 => [2,1,1,3] => 262
[6,7,5,8,1,2,3,4] => 0101000 => [1,1,1,1,3] => 450
[7,5,6,8,1,2,3,4] => 1001000 => [1,2,1,3] => 262
[6,5,7,8,1,2,3,4] => 1001000 => [1,2,1,3] => 262
[5,6,7,8,1,2,3,4] => 0001000 => [3,1,3] => 110
[8,7,6,4,3,2,1,5] => 1111110 => [6,1] => 7
[7,8,6,4,3,2,1,5] => 0111110 => [1,5,1] => 37
[8,6,7,4,3,2,1,5] => 1011110 => [1,1,4,1] => 148
[7,6,8,4,3,2,1,5] => 1011110 => [1,1,4,1] => 148
[6,7,8,4,3,2,1,5] => 0011110 => [2,4,1] => 85
[8,7,6,3,4,2,1,5] => 1110110 => [3,1,2,1] => 259
[7,8,6,3,4,2,1,5] => 0110110 => [1,2,1,2,1] => 603
[6,7,8,3,4,2,1,5] => 0010110 => [2,1,1,2,1] => 603
[8,7,6,4,2,3,1,5] => 1111010 => [4,1,1,1] => 145
[8,6,7,4,2,3,1,5] => 1011010 => [1,1,2,1,1,1] => 984
[7,6,8,4,2,3,1,5] => 1011010 => [1,1,2,1,1,1] => 984
[6,7,8,4,2,3,1,5] => 0011010 => [2,2,1,1,1] => 582
[8,7,6,3,2,4,1,5] => 1111010 => [4,1,1,1] => 145
[8,6,7,3,2,4,1,5] => 1011010 => [1,1,2,1,1,1] => 984
[6,7,8,3,2,4,1,5] => 0011010 => [2,2,1,1,1] => 582
[8,7,6,2,3,4,1,5] => 1110010 => [3,2,1,1] => 256
[8,6,7,2,3,4,1,5] => 1010010 => [1,1,1,2,1,1] => 1006
[7,6,8,2,3,4,1,5] => 1010010 => [1,1,1,2,1,1] => 1006
[6,7,8,2,3,4,1,5] => 0010010 => [2,1,2,1,1] => 594
[8,7,6,4,3,1,2,5] => 1111100 => [5,2] => 21
[6,7,8,4,3,1,2,5] => 0011100 => [2,3,2] => 153
[8,7,6,3,4,1,2,5] => 1110100 => [3,1,1,2] => 259
[7,8,6,3,4,1,2,5] => 0110100 => [1,2,1,1,2] => 603
[8,6,7,3,4,1,2,5] => 1010100 => [1,1,1,1,1,2] => 1023
[6,7,8,3,4,1,2,5] => 0010100 => [2,1,1,1,2] => 603
[8,7,6,4,2,1,3,5] => 1111100 => [5,2] => 21
[7,8,6,4,2,1,3,5] => 0111100 => [1,4,2] => 85
[8,6,7,4,2,1,3,5] => 1011100 => [1,1,3,2] => 265
[6,7,8,4,2,1,3,5] => 0011100 => [2,3,2] => 153
[8,7,6,4,1,2,3,5] => 1111000 => [4,3] => 35
[7,8,6,4,1,2,3,5] => 0111000 => [1,3,3] => 110
[7,6,8,4,1,2,3,5] => 1011000 => [1,1,2,3] => 265
[6,7,8,4,1,2,3,5] => 0011000 => [2,2,3] => 153
[8,7,6,3,2,1,4,5] => 1111100 => [5,2] => 21
[7,8,6,3,2,1,4,5] => 0111100 => [1,4,2] => 85
[8,6,7,3,2,1,4,5] => 1011100 => [1,1,3,2] => 265
[7,6,8,3,2,1,4,5] => 1011100 => [1,1,3,2] => 265
[6,7,8,3,2,1,4,5] => 0011100 => [2,3,2] => 153
[8,7,6,2,3,1,4,5] => 1110100 => [3,1,1,2] => 259
[7,8,6,2,3,1,4,5] => 0110100 => [1,2,1,1,2] => 603
[8,6,7,2,3,1,4,5] => 1010100 => [1,1,1,1,1,2] => 1023
[7,6,8,2,3,1,4,5] => 1010100 => [1,1,1,1,1,2] => 1023
[6,7,8,2,3,1,4,5] => 0010100 => [2,1,1,1,2] => 603
[8,7,6,3,1,2,4,5] => 1111000 => [4,3] => 35
[7,8,6,3,1,2,4,5] => 0111000 => [1,3,3] => 110
[8,6,7,3,1,2,4,5] => 1011000 => [1,1,2,3] => 265
[7,6,8,3,1,2,4,5] => 1011000 => [1,1,2,3] => 265
[6,7,8,3,1,2,4,5] => 0011000 => [2,2,3] => 153
[8,7,6,2,1,3,4,5] => 1111000 => [4,3] => 35
[7,8,6,2,1,3,4,5] => 0111000 => [1,3,3] => 110
[8,6,7,2,1,3,4,5] => 1011000 => [1,1,2,3] => 265
[6,7,8,2,1,3,4,5] => 0011000 => [2,2,3] => 153
[8,7,6,1,2,3,4,5] => 1110000 => [3,4] => 35
[7,8,6,1,2,3,4,5] => 0110000 => [1,2,4] => 85
[8,6,7,1,2,3,4,5] => 1010000 => [1,1,1,4] => 148
[7,6,8,1,2,3,4,5] => 1010000 => [1,1,1,4] => 148
[6,7,8,1,2,3,4,5] => 0010000 => [2,1,4] => 85
[8,7,5,4,3,2,1,6] => 1111110 => [6,1] => 7
[7,8,5,4,3,2,1,6] => 0111110 => [1,5,1] => 37
[8,7,4,5,3,2,1,6] => 1101110 => [2,1,3,1] => 262
[7,8,4,5,3,2,1,6] => 0101110 => [1,1,1,3,1] => 450
[8,7,5,3,4,2,1,6] => 1110110 => [3,1,2,1] => 259
[8,7,4,3,5,2,1,6] => 1110110 => [3,1,2,1] => 259
[8,7,3,4,5,2,1,6] => 1100110 => [2,2,2,1] => 357
[7,8,3,4,5,2,1,6] => 0100110 => [1,1,2,2,1] => 611
[8,7,4,5,2,3,1,6] => 1101010 => [2,1,1,1,1,1] => 969
[7,8,4,5,2,3,1,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[8,7,5,3,2,4,1,6] => 1111010 => [4,1,1,1] => 145
[7,8,5,2,3,4,1,6] => 0110010 => [1,2,2,1,1] => 594
[8,7,4,3,2,5,1,6] => 1111010 => [4,1,1,1] => 145
[7,8,4,3,2,5,1,6] => 0111010 => [1,3,1,1,1] => 427
[8,7,3,4,2,5,1,6] => 1101010 => [2,1,1,1,1,1] => 969
[7,8,3,4,2,5,1,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[8,7,2,3,4,5,1,6] => 1100010 => [2,3,1,1] => 256
[7,8,2,3,4,5,1,6] => 0100010 => [1,1,3,1,1] => 439
[8,7,5,4,3,1,2,6] => 1111100 => [5,2] => 21
[7,8,5,4,3,1,2,6] => 0111100 => [1,4,2] => 85
[8,7,5,3,4,1,2,6] => 1110100 => [3,1,1,2] => 259
[7,8,5,3,4,1,2,6] => 0110100 => [1,2,1,1,2] => 603
[8,7,3,4,5,1,2,6] => 1100100 => [2,2,1,2] => 357
[7,8,3,4,5,1,2,6] => 0100100 => [1,1,2,1,2] => 611
[7,8,5,4,2,1,3,6] => 0111100 => [1,4,2] => 85
[8,7,5,4,1,2,3,6] => 1111000 => [4,3] => 35
[7,8,5,4,1,2,3,6] => 0111000 => [1,3,3] => 110
[8,7,4,5,1,2,3,6] => 1101000 => [2,1,1,3] => 262
[7,8,4,5,1,2,3,6] => 0101000 => [1,1,1,1,3] => 450
[8,7,5,3,2,1,4,6] => 1111100 => [5,2] => 21
[7,8,5,3,2,1,4,6] => 0111100 => [1,4,2] => 85
[8,7,5,2,3,1,4,6] => 1110100 => [3,1,1,2] => 259
[8,7,5,3,1,2,4,6] => 1111000 => [4,3] => 35
[7,8,5,3,1,2,4,6] => 0111000 => [1,3,3] => 110
[8,7,5,2,1,3,4,6] => 1111000 => [4,3] => 35
[7,8,5,2,1,3,4,6] => 0111000 => [1,3,3] => 110
[8,7,5,1,2,3,4,6] => 1110000 => [3,4] => 35
[7,8,5,1,2,3,4,6] => 0110000 => [1,2,4] => 85
[8,7,4,3,2,1,5,6] => 1111100 => [5,2] => 21
[7,8,4,3,2,1,5,6] => 0111100 => [1,4,2] => 85
[8,7,3,4,2,1,5,6] => 1101100 => [2,1,2,2] => 363
[7,8,3,4,2,1,5,6] => 0101100 => [1,1,1,2,2] => 622
[7,8,4,2,3,1,5,6] => 0110100 => [1,2,1,1,2] => 603
[8,7,3,2,4,1,5,6] => 1110100 => [3,1,1,2] => 259
[7,8,3,2,4,1,5,6] => 0110100 => [1,2,1,1,2] => 603
[8,7,2,3,4,1,5,6] => 1100100 => [2,2,1,2] => 357
[7,8,2,3,4,1,5,6] => 0100100 => [1,1,2,1,2] => 611
[7,8,4,3,1,2,5,6] => 0111000 => [1,3,3] => 110
[8,7,3,4,1,2,5,6] => 1101000 => [2,1,1,3] => 262
[7,8,3,4,1,2,5,6] => 0101000 => [1,1,1,1,3] => 450
[8,7,4,2,1,3,5,6] => 1111000 => [4,3] => 35
[7,8,4,2,1,3,5,6] => 0111000 => [1,3,3] => 110
[8,7,4,1,2,3,5,6] => 1110000 => [3,4] => 35
[7,8,4,1,2,3,5,6] => 0110000 => [1,2,4] => 85
[8,7,3,2,1,4,5,6] => 1111000 => [4,3] => 35
[7,8,3,2,1,4,5,6] => 0111000 => [1,3,3] => 110
[8,7,2,3,1,4,5,6] => 1101000 => [2,1,1,3] => 262
[7,8,2,3,1,4,5,6] => 0101000 => [1,1,1,1,3] => 450
[7,8,3,1,2,4,5,6] => 0110000 => [1,2,4] => 85
[8,7,2,1,3,4,5,6] => 1110000 => [3,4] => 35
[7,8,2,1,3,4,5,6] => 0110000 => [1,2,4] => 85
[8,7,1,2,3,4,5,6] => 1100000 => [2,5] => 21
[7,8,1,2,3,4,5,6] => 0100000 => [1,1,5] => 37
[8,6,5,4,3,2,1,7] => 1111110 => [6,1] => 7
[8,5,6,4,3,2,1,7] => 1011110 => [1,1,4,1] => 148
[8,6,4,5,3,2,1,7] => 1101110 => [2,1,3,1] => 262
[8,5,4,6,3,2,1,7] => 1101110 => [2,1,3,1] => 262
[8,4,5,6,3,2,1,7] => 1001110 => [1,2,3,1] => 262
[8,6,5,3,4,2,1,7] => 1110110 => [3,1,2,1] => 259
[8,5,6,3,4,2,1,7] => 1010110 => [1,1,1,1,2,1] => 1023
[8,6,4,3,5,2,1,7] => 1110110 => [3,1,2,1] => 259
[8,4,5,3,6,2,1,7] => 1010110 => [1,1,1,1,2,1] => 1023
[8,4,3,5,6,2,1,7] => 1100110 => [2,2,2,1] => 357
[8,3,4,5,6,2,1,7] => 1000110 => [1,3,2,1] => 259
[8,6,5,4,2,3,1,7] => 1111010 => [4,1,1,1] => 145
[8,5,6,4,2,3,1,7] => 1011010 => [1,1,2,1,1,1] => 984
[8,6,4,5,2,3,1,7] => 1101010 => [2,1,1,1,1,1] => 969
[8,4,5,6,2,3,1,7] => 1001010 => [1,2,1,1,1,1] => 969
[8,6,5,3,2,4,1,7] => 1111010 => [4,1,1,1] => 145
[8,6,5,2,3,4,1,7] => 1110010 => [3,2,1,1] => 256
[8,5,6,2,3,4,1,7] => 1010010 => [1,1,1,2,1,1] => 1006
[8,6,4,3,2,5,1,7] => 1111010 => [4,1,1,1] => 145
[8,6,4,2,3,5,1,7] => 1110010 => [3,2,1,1] => 256
[8,6,3,2,4,5,1,7] => 1110010 => [3,2,1,1] => 256
[8,5,4,3,2,6,1,7] => 1111010 => [4,1,1,1] => 145
[8,4,3,5,2,6,1,7] => 1101010 => [2,1,1,1,1,1] => 969
[8,5,4,2,3,6,1,7] => 1110010 => [3,2,1,1] => 256
[8,4,5,2,3,6,1,7] => 1010010 => [1,1,1,2,1,1] => 1006
[8,5,3,2,4,6,1,7] => 1110010 => [3,2,1,1] => 256
[8,5,2,3,4,6,1,7] => 1100010 => [2,3,1,1] => 256
[8,3,4,2,5,6,1,7] => 1010010 => [1,1,1,2,1,1] => 1006
[8,3,2,4,5,6,1,7] => 1100010 => [2,3,1,1] => 256
[8,2,3,4,5,6,1,7] => 1000010 => [1,4,1,1] => 145
[8,6,5,4,3,1,2,7] => 1111100 => [5,2] => 21
[8,6,4,5,3,1,2,7] => 1101100 => [2,1,2,2] => 363
[8,6,5,3,4,1,2,7] => 1110100 => [3,1,1,2] => 259
[8,5,6,3,4,1,2,7] => 1010100 => [1,1,1,1,1,2] => 1023
[8,6,3,4,5,1,2,7] => 1100100 => [2,2,1,2] => 357
[8,5,4,3,6,1,2,7] => 1110100 => [3,1,1,2] => 259
[8,4,5,3,6,1,2,7] => 1010100 => [1,1,1,1,1,2] => 1023
[8,5,3,4,6,1,2,7] => 1100100 => [2,2,1,2] => 357
[8,4,3,5,6,1,2,7] => 1100100 => [2,2,1,2] => 357
[8,3,4,5,6,1,2,7] => 1000100 => [1,3,1,2] => 259
[8,6,5,4,2,1,3,7] => 1111100 => [5,2] => 21
[8,5,6,4,2,1,3,7] => 1011100 => [1,1,3,2] => 265
[8,6,4,5,2,1,3,7] => 1101100 => [2,1,2,2] => 363
[8,4,5,6,2,1,3,7] => 1001100 => [1,2,2,2] => 363
[8,6,5,4,1,2,3,7] => 1111000 => [4,3] => 35
[8,5,6,4,1,2,3,7] => 1011000 => [1,1,2,3] => 265
[8,6,4,5,1,2,3,7] => 1101000 => [2,1,1,3] => 262
[8,4,5,6,1,2,3,7] => 1001000 => [1,2,1,3] => 262
[8,6,5,3,2,1,4,7] => 1111100 => [5,2] => 21
[8,5,6,3,2,1,4,7] => 1011100 => [1,1,3,2] => 265
[8,6,5,2,3,1,4,7] => 1110100 => [3,1,1,2] => 259
[8,5,6,2,3,1,4,7] => 1010100 => [1,1,1,1,1,2] => 1023
[8,5,6,3,1,2,4,7] => 1011000 => [1,1,2,3] => 265
[8,6,5,2,1,3,4,7] => 1111000 => [4,3] => 35
[8,5,6,2,1,3,4,7] => 1011000 => [1,1,2,3] => 265
[8,6,5,1,2,3,4,7] => 1110000 => [3,4] => 35
[8,5,6,1,2,3,4,7] => 1010000 => [1,1,1,4] => 148
[8,6,4,3,2,1,5,7] => 1111100 => [5,2] => 21
[8,6,3,4,2,1,5,7] => 1101100 => [2,1,2,2] => 363
[8,6,4,2,3,1,5,7] => 1110100 => [3,1,1,2] => 259
[8,6,3,2,4,1,5,7] => 1110100 => [3,1,1,2] => 259
[8,6,2,3,4,1,5,7] => 1100100 => [2,2,1,2] => 357
[8,6,4,3,1,2,5,7] => 1111000 => [4,3] => 35
[8,6,3,4,1,2,5,7] => 1101000 => [2,1,1,3] => 262
[8,6,4,2,1,3,5,7] => 1111000 => [4,3] => 35
[8,6,4,1,2,3,5,7] => 1110000 => [3,4] => 35
[8,6,1,2,3,4,5,7] => 1100000 => [2,5] => 21
[8,5,4,3,2,1,6,7] => 1111100 => [5,2] => 21
[8,4,5,3,2,1,6,7] => 1011100 => [1,1,3,2] => 265
[8,4,3,5,2,1,6,7] => 1101100 => [2,1,2,2] => 363
[8,3,4,5,2,1,6,7] => 1001100 => [1,2,2,2] => 363
[8,4,5,2,3,1,6,7] => 1010100 => [1,1,1,1,1,2] => 1023
[8,5,2,3,4,1,6,7] => 1100100 => [2,2,1,2] => 357
[8,4,2,3,5,1,6,7] => 1100100 => [2,2,1,2] => 357
[8,2,3,4,5,1,6,7] => 1000100 => [1,3,1,2] => 259
[8,5,3,4,1,2,6,7] => 1101000 => [2,1,1,3] => 262
[8,3,4,5,1,2,6,7] => 1001000 => [1,2,1,3] => 262
[8,5,4,2,1,3,6,7] => 1111000 => [4,3] => 35
[8,5,4,1,2,3,6,7] => 1110000 => [3,4] => 35
[8,4,5,1,2,3,6,7] => 1010000 => [1,1,1,4] => 148
[8,5,3,2,1,4,6,7] => 1111000 => [4,3] => 35
[8,5,3,1,2,4,6,7] => 1110000 => [3,4] => 35
[8,5,2,1,3,4,6,7] => 1110000 => [3,4] => 35
[8,5,1,2,3,4,6,7] => 1100000 => [2,5] => 21
[8,4,3,2,1,5,6,7] => 1111000 => [4,3] => 35
[8,3,4,2,1,5,6,7] => 1011000 => [1,1,2,3] => 265
[8,4,2,3,1,5,6,7] => 1101000 => [2,1,1,3] => 262
[8,2,3,4,1,5,6,7] => 1001000 => [1,2,1,3] => 262
[8,3,4,1,2,5,6,7] => 1010000 => [1,1,1,4] => 148
[8,4,2,1,3,5,6,7] => 1110000 => [3,4] => 35
[8,4,1,2,3,5,6,7] => 1100000 => [2,5] => 21
[8,3,2,1,4,5,6,7] => 1110000 => [3,4] => 35
[8,2,3,1,4,5,6,7] => 1010000 => [1,1,1,4] => 148
[8,3,1,2,4,5,6,7] => 1100000 => [2,5] => 21
[8,2,1,3,4,5,6,7] => 1100000 => [2,5] => 21
[8,1,2,3,4,5,6,7] => 1000000 => [1,6] => 7
[7,6,5,4,3,2,1,8] => 1111110 => [6,1] => 7
[6,7,5,4,3,2,1,8] => 0111110 => [1,5,1] => 37
[7,5,6,4,3,2,1,8] => 1011110 => [1,1,4,1] => 148
[6,5,7,4,3,2,1,8] => 1011110 => [1,1,4,1] => 148
[5,6,7,4,3,2,1,8] => 0011110 => [2,4,1] => 85
[7,6,4,5,3,2,1,8] => 1101110 => [2,1,3,1] => 262
[6,7,4,5,3,2,1,8] => 0101110 => [1,1,1,3,1] => 450
[7,5,4,6,3,2,1,8] => 1101110 => [2,1,3,1] => 262
[7,4,5,6,3,2,1,8] => 1001110 => [1,2,3,1] => 262
[6,5,4,7,3,2,1,8] => 1101110 => [2,1,3,1] => 262
[5,6,4,7,3,2,1,8] => 0101110 => [1,1,1,3,1] => 450
[5,4,6,7,3,2,1,8] => 1001110 => [1,2,3,1] => 262
[4,5,6,7,3,2,1,8] => 0001110 => [3,3,1] => 110
[7,6,5,3,4,2,1,8] => 1110110 => [3,1,2,1] => 259
[6,7,5,3,4,2,1,8] => 0110110 => [1,2,1,2,1] => 603
[7,5,6,3,4,2,1,8] => 1010110 => [1,1,1,1,2,1] => 1023
[6,5,7,3,4,2,1,8] => 1010110 => [1,1,1,1,2,1] => 1023
[5,6,7,3,4,2,1,8] => 0010110 => [2,1,1,2,1] => 603
[7,6,4,3,5,2,1,8] => 1110110 => [3,1,2,1] => 259
[6,7,4,3,5,2,1,8] => 0110110 => [1,2,1,2,1] => 603
[7,6,3,4,5,2,1,8] => 1100110 => [2,2,2,1] => 357
[7,5,4,3,6,2,1,8] => 1110110 => [3,1,2,1] => 259
[7,4,5,3,6,2,1,8] => 1010110 => [1,1,1,1,2,1] => 1023
[7,3,4,5,6,2,1,8] => 1000110 => [1,3,2,1] => 259
[6,5,4,3,7,2,1,8] => 1110110 => [3,1,2,1] => 259
[5,6,4,3,7,2,1,8] => 0110110 => [1,2,1,2,1] => 603
[5,4,6,3,7,2,1,8] => 1010110 => [1,1,1,1,2,1] => 1023
[5,4,3,6,7,2,1,8] => 1100110 => [2,2,2,1] => 357
[3,4,5,6,7,2,1,8] => 0000110 => [4,2,1] => 85
[7,6,5,4,2,3,1,8] => 1111010 => [4,1,1,1] => 145
[6,7,5,4,2,3,1,8] => 0111010 => [1,3,1,1,1] => 427
[7,5,6,4,2,3,1,8] => 1011010 => [1,1,2,1,1,1] => 984
[5,6,7,4,2,3,1,8] => 0011010 => [2,2,1,1,1] => 582
[7,6,4,5,2,3,1,8] => 1101010 => [2,1,1,1,1,1] => 969
[6,7,4,5,2,3,1,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[7,5,4,6,2,3,1,8] => 1101010 => [2,1,1,1,1,1] => 969
[7,4,5,6,2,3,1,8] => 1001010 => [1,2,1,1,1,1] => 969
[6,5,4,7,2,3,1,8] => 1101010 => [2,1,1,1,1,1] => 969
[5,6,4,7,2,3,1,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,4,6,7,2,3,1,8] => 1001010 => [1,2,1,1,1,1] => 969
[4,5,6,7,2,3,1,8] => 0001010 => [3,1,1,1,1] => 427
[7,6,5,3,2,4,1,8] => 1111010 => [4,1,1,1] => 145
[6,5,7,3,2,4,1,8] => 1011010 => [1,1,2,1,1,1] => 984
[5,6,7,3,2,4,1,8] => 0011010 => [2,2,1,1,1] => 582
[7,6,5,2,3,4,1,8] => 1110010 => [3,2,1,1] => 256
[6,7,5,2,3,4,1,8] => 0110010 => [1,2,2,1,1] => 594
[7,5,6,2,3,4,1,8] => 1010010 => [1,1,1,2,1,1] => 1006
[6,5,7,2,3,4,1,8] => 1010010 => [1,1,1,2,1,1] => 1006
[5,6,7,2,3,4,1,8] => 0010010 => [2,1,2,1,1] => 594
[7,6,4,3,2,5,1,8] => 1111010 => [4,1,1,1] => 145
[6,7,4,3,2,5,1,8] => 0111010 => [1,3,1,1,1] => 427
[6,7,3,4,2,5,1,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[7,6,4,2,3,5,1,8] => 1110010 => [3,2,1,1] => 256
[6,7,4,2,3,5,1,8] => 0110010 => [1,2,2,1,1] => 594
[7,6,3,2,4,5,1,8] => 1110010 => [3,2,1,1] => 256
[6,7,3,2,4,5,1,8] => 0110010 => [1,2,2,1,1] => 594
[7,6,2,3,4,5,1,8] => 1100010 => [2,3,1,1] => 256
[6,7,2,3,4,5,1,8] => 0100010 => [1,1,3,1,1] => 439
[7,5,4,3,2,6,1,8] => 1111010 => [4,1,1,1] => 145
[7,4,5,3,2,6,1,8] => 1011010 => [1,1,2,1,1,1] => 984
[7,5,3,4,2,6,1,8] => 1101010 => [2,1,1,1,1,1] => 969
[7,4,3,5,2,6,1,8] => 1101010 => [2,1,1,1,1,1] => 969
[7,5,4,2,3,6,1,8] => 1110010 => [3,2,1,1] => 256
[7,4,5,2,3,6,1,8] => 1010010 => [1,1,1,2,1,1] => 1006
[7,5,3,2,4,6,1,8] => 1110010 => [3,2,1,1] => 256
[7,4,2,3,5,6,1,8] => 1100010 => [2,3,1,1] => 256
[7,2,3,4,5,6,1,8] => 1000010 => [1,4,1,1] => 145
[6,5,4,3,2,7,1,8] => 1111010 => [4,1,1,1] => 145
[5,6,4,3,2,7,1,8] => 0111010 => [1,3,1,1,1] => 427
[5,4,6,3,2,7,1,8] => 1011010 => [1,1,2,1,1,1] => 984
[5,6,3,4,2,7,1,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[6,3,4,5,2,7,1,8] => 1001010 => [1,2,1,1,1,1] => 969
[5,4,3,6,2,7,1,8] => 1101010 => [2,1,1,1,1,1] => 969
[4,5,3,6,2,7,1,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,3,4,6,2,7,1,8] => 1001010 => [1,2,1,1,1,1] => 969
[4,3,5,6,2,7,1,8] => 1001010 => [1,2,1,1,1,1] => 969
[3,4,5,6,2,7,1,8] => 0001010 => [3,1,1,1,1] => 427
[5,4,6,2,3,7,1,8] => 1010010 => [1,1,1,2,1,1] => 1006
[6,5,3,2,4,7,1,8] => 1110010 => [3,2,1,1] => 256
[6,4,2,3,5,7,1,8] => 1100010 => [2,3,1,1] => 256
[6,3,2,4,5,7,1,8] => 1100010 => [2,3,1,1] => 256
[6,2,3,4,5,7,1,8] => 1000010 => [1,4,1,1] => 145
[5,4,3,2,6,7,1,8] => 1110010 => [3,2,1,1] => 256
[3,4,5,2,6,7,1,8] => 0010010 => [2,1,2,1,1] => 594
[5,4,2,3,6,7,1,8] => 1100010 => [2,3,1,1] => 256
[4,5,2,3,6,7,1,8] => 0100010 => [1,1,3,1,1] => 439
[5,2,3,4,6,7,1,8] => 1000010 => [1,4,1,1] => 145
[4,3,2,5,6,7,1,8] => 1100010 => [2,3,1,1] => 256
[3,4,2,5,6,7,1,8] => 0100010 => [1,1,3,1,1] => 439
[4,2,3,5,6,7,1,8] => 1000010 => [1,4,1,1] => 145
[3,2,4,5,6,7,1,8] => 1000010 => [1,4,1,1] => 145
[2,3,4,5,6,7,1,8] => 0000010 => [5,1,1] => 37
[7,6,5,4,3,1,2,8] => 1111100 => [5,2] => 21
[6,7,5,4,3,1,2,8] => 0111100 => [1,4,2] => 85
[7,5,6,4,3,1,2,8] => 1011100 => [1,1,3,2] => 265
[7,6,4,5,3,1,2,8] => 1101100 => [2,1,2,2] => 363
[7,4,5,6,3,1,2,8] => 1001100 => [1,2,2,2] => 363
[5,4,6,7,3,1,2,8] => 1001100 => [1,2,2,2] => 363
[4,5,6,7,3,1,2,8] => 0001100 => [3,2,2] => 153
[7,6,5,3,4,1,2,8] => 1110100 => [3,1,1,2] => 259
[7,5,6,3,4,1,2,8] => 1010100 => [1,1,1,1,1,2] => 1023
[6,7,3,4,5,1,2,8] => 0100100 => [1,1,2,1,2] => 611
[7,5,3,4,6,1,2,8] => 1100100 => [2,2,1,2] => 357
[6,5,4,3,7,1,2,8] => 1110100 => [3,1,1,2] => 259
[5,6,3,4,7,1,2,8] => 0100100 => [1,1,2,1,2] => 611
[6,4,3,5,7,1,2,8] => 1100100 => [2,2,1,2] => 357
[6,3,4,5,7,1,2,8] => 1000100 => [1,3,1,2] => 259
[4,3,5,6,7,1,2,8] => 1000100 => [1,3,1,2] => 259
[3,4,5,6,7,1,2,8] => 0000100 => [4,1,2] => 85
[7,6,5,4,2,1,3,8] => 1111100 => [5,2] => 21
[6,5,7,4,2,1,3,8] => 1011100 => [1,1,3,2] => 265
[7,6,4,5,2,1,3,8] => 1101100 => [2,1,2,2] => 363
[7,5,4,6,2,1,3,8] => 1101100 => [2,1,2,2] => 363
[7,4,5,6,2,1,3,8] => 1001100 => [1,2,2,2] => 363
[5,4,6,7,2,1,3,8] => 1001100 => [1,2,2,2] => 363
[4,5,6,7,2,1,3,8] => 0001100 => [3,2,2] => 153
[7,6,5,4,1,2,3,8] => 1111000 => [4,3] => 35
[7,5,6,4,1,2,3,8] => 1011000 => [1,1,2,3] => 265
[5,6,7,4,1,2,3,8] => 0011000 => [2,2,3] => 153
[7,6,4,5,1,2,3,8] => 1101000 => [2,1,1,3] => 262
[7,5,4,6,1,2,3,8] => 1101000 => [2,1,1,3] => 262
[7,4,5,6,1,2,3,8] => 1001000 => [1,2,1,3] => 262
[5,4,6,7,1,2,3,8] => 1001000 => [1,2,1,3] => 262
[4,5,6,7,1,2,3,8] => 0001000 => [3,1,3] => 110
[7,6,5,3,2,1,4,8] => 1111100 => [5,2] => 21
[7,6,5,2,3,1,4,8] => 1110100 => [3,1,1,2] => 259
[6,7,5,2,3,1,4,8] => 0110100 => [1,2,1,1,2] => 603
[7,5,6,2,3,1,4,8] => 1010100 => [1,1,1,1,1,2] => 1023
[6,5,7,2,3,1,4,8] => 1010100 => [1,1,1,1,1,2] => 1023
[5,6,7,2,3,1,4,8] => 0010100 => [2,1,1,1,2] => 603
[7,5,6,3,1,2,4,8] => 1011000 => [1,1,2,3] => 265
[7,6,5,2,1,3,4,8] => 1111000 => [4,3] => 35
[6,7,5,2,1,3,4,8] => 0111000 => [1,3,3] => 110
[7,5,6,2,1,3,4,8] => 1011000 => [1,1,2,3] => 265
[5,6,7,2,1,3,4,8] => 0011000 => [2,2,3] => 153
[7,6,5,1,2,3,4,8] => 1110000 => [3,4] => 35
[6,7,5,1,2,3,4,8] => 0110000 => [1,2,4] => 85
[7,5,6,1,2,3,4,8] => 1010000 => [1,1,1,4] => 148
[6,5,7,1,2,3,4,8] => 1010000 => [1,1,1,4] => 148
[5,6,7,1,2,3,4,8] => 0010000 => [2,1,4] => 85
[7,6,4,3,2,1,5,8] => 1111100 => [5,2] => 21
[6,7,4,3,2,1,5,8] => 0111100 => [1,4,2] => 85
[7,6,3,4,2,1,5,8] => 1101100 => [2,1,2,2] => 363
[7,6,3,2,4,1,5,8] => 1110100 => [3,1,1,2] => 259
[6,7,3,2,4,1,5,8] => 0110100 => [1,2,1,1,2] => 603
[7,6,2,3,4,1,5,8] => 1100100 => [2,2,1,2] => 357
[6,7,2,3,4,1,5,8] => 0100100 => [1,1,2,1,2] => 611
[7,6,4,3,1,2,5,8] => 1111000 => [4,3] => 35
[6,7,3,4,1,2,5,8] => 0101000 => [1,1,1,1,3] => 450
[7,6,4,2,1,3,5,8] => 1111000 => [4,3] => 35
[7,6,3,2,1,4,5,8] => 1111000 => [4,3] => 35
[6,7,3,2,1,4,5,8] => 0111000 => [1,3,3] => 110
[7,6,2,3,1,4,5,8] => 1101000 => [2,1,1,3] => 262
[6,7,2,3,1,4,5,8] => 0101000 => [1,1,1,1,3] => 450
[6,7,3,1,2,4,5,8] => 0110000 => [1,2,4] => 85
[7,6,1,2,3,4,5,8] => 1100000 => [2,5] => 21
[6,7,1,2,3,4,5,8] => 0100000 => [1,1,5] => 37
[7,5,4,3,2,1,6,8] => 1111100 => [5,2] => 21
[7,4,5,3,2,1,6,8] => 1011100 => [1,1,3,2] => 265
[7,4,3,5,2,1,6,8] => 1101100 => [2,1,2,2] => 363
[7,3,4,5,2,1,6,8] => 1001100 => [1,2,2,2] => 363
[7,5,4,2,3,1,6,8] => 1110100 => [3,1,1,2] => 259
[7,5,3,2,4,1,6,8] => 1110100 => [3,1,1,2] => 259
[7,5,2,3,4,1,6,8] => 1100100 => [2,2,1,2] => 357
[7,4,2,3,5,1,6,8] => 1100100 => [2,2,1,2] => 357
[7,2,3,4,5,1,6,8] => 1000100 => [1,3,1,2] => 259
[7,5,4,3,1,2,6,8] => 1111000 => [4,3] => 35
[7,5,3,4,1,2,6,8] => 1101000 => [2,1,1,3] => 262
[7,4,5,2,1,3,6,8] => 1011000 => [1,1,2,3] => 265
[7,4,5,1,2,3,6,8] => 1010000 => [1,1,1,4] => 148
[7,5,3,2,1,4,6,8] => 1111000 => [4,3] => 35
[7,5,2,3,1,4,6,8] => 1101000 => [2,1,1,3] => 262
[7,5,3,1,2,4,6,8] => 1110000 => [3,4] => 35
[7,5,1,2,3,4,6,8] => 1100000 => [2,5] => 21
[7,4,3,2,1,5,6,8] => 1111000 => [4,3] => 35
[7,2,3,4,1,5,6,8] => 1001000 => [1,2,1,3] => 262
[7,4,3,1,2,5,6,8] => 1110000 => [3,4] => 35
[7,3,4,1,2,5,6,8] => 1010000 => [1,1,1,4] => 148
[7,4,1,2,3,5,6,8] => 1100000 => [2,5] => 21
[7,3,2,1,4,5,6,8] => 1110000 => [3,4] => 35
[7,2,3,1,4,5,6,8] => 1010000 => [1,1,1,4] => 148
[7,3,1,2,4,5,6,8] => 1100000 => [2,5] => 21
[7,2,1,3,4,5,6,8] => 1100000 => [2,5] => 21
[7,1,2,3,4,5,6,8] => 1000000 => [1,6] => 7
[6,5,4,3,2,1,7,8] => 1111100 => [5,2] => 21
[5,6,4,3,2,1,7,8] => 0111100 => [1,4,2] => 85
[5,4,6,3,2,1,7,8] => 1011100 => [1,1,3,2] => 265
[4,5,6,3,2,1,7,8] => 0011100 => [2,3,2] => 153
[6,5,3,4,2,1,7,8] => 1101100 => [2,1,2,2] => 363
[5,6,3,4,2,1,7,8] => 0101100 => [1,1,1,2,2] => 622
[5,4,3,6,2,1,7,8] => 1101100 => [2,1,2,2] => 363
[3,4,5,6,2,1,7,8] => 0001100 => [3,2,2] => 153
[5,4,6,2,3,1,7,8] => 1010100 => [1,1,1,1,1,2] => 1023
[5,6,3,2,4,1,7,8] => 0110100 => [1,2,1,1,2] => 603
[6,5,2,3,4,1,7,8] => 1100100 => [2,2,1,2] => 357
[5,6,2,3,4,1,7,8] => 0100100 => [1,1,2,1,2] => 611
[6,4,3,2,5,1,7,8] => 1110100 => [3,1,1,2] => 259
[6,2,3,4,5,1,7,8] => 1000100 => [1,3,1,2] => 259
[5,4,3,2,6,1,7,8] => 1110100 => [3,1,1,2] => 259
[4,5,3,2,6,1,7,8] => 0110100 => [1,2,1,1,2] => 603
[4,3,5,2,6,1,7,8] => 1010100 => [1,1,1,1,1,2] => 1023
[3,4,5,2,6,1,7,8] => 0010100 => [2,1,1,1,2] => 603
[5,3,2,4,6,1,7,8] => 1100100 => [2,2,1,2] => 357
[5,2,3,4,6,1,7,8] => 1000100 => [1,3,1,2] => 259
[4,3,2,5,6,1,7,8] => 1100100 => [2,2,1,2] => 357
[3,4,2,5,6,1,7,8] => 0100100 => [1,1,2,1,2] => 611
[4,2,3,5,6,1,7,8] => 1000100 => [1,3,1,2] => 259
[3,2,4,5,6,1,7,8] => 1000100 => [1,3,1,2] => 259
[2,3,4,5,6,1,7,8] => 0000100 => [4,1,2] => 85
[6,5,4,3,1,2,7,8] => 1111000 => [4,3] => 35
[6,4,5,3,1,2,7,8] => 1011000 => [1,1,2,3] => 265
[5,4,6,3,1,2,7,8] => 1011000 => [1,1,2,3] => 265
[5,6,3,4,1,2,7,8] => 0101000 => [1,1,1,1,3] => 450
[5,4,3,6,1,2,7,8] => 1101000 => [2,1,1,3] => 262
[4,3,5,6,1,2,7,8] => 1001000 => [1,2,1,3] => 262
[3,4,5,6,1,2,7,8] => 0001000 => [3,1,3] => 110
[6,5,4,2,1,3,7,8] => 1111000 => [4,3] => 35
[5,6,4,2,1,3,7,8] => 0111000 => [1,3,3] => 110
[6,4,5,2,1,3,7,8] => 1011000 => [1,1,2,3] => 265
[4,5,6,2,1,3,7,8] => 0011000 => [2,2,3] => 153
[6,5,4,1,2,3,7,8] => 1110000 => [3,4] => 35
[4,5,6,1,2,3,7,8] => 0010000 => [2,1,4] => 85
[6,5,3,2,1,4,7,8] => 1111000 => [4,3] => 35
[5,6,3,2,1,4,7,8] => 0111000 => [1,3,3] => 110
[5,6,2,1,3,4,7,8] => 0110000 => [1,2,4] => 85
[6,4,3,2,1,5,7,8] => 1111000 => [4,3] => 35
[6,3,4,2,1,5,7,8] => 1011000 => [1,1,2,3] => 265
[6,4,3,1,2,5,7,8] => 1110000 => [3,4] => 35
[6,4,2,1,3,5,7,8] => 1110000 => [3,4] => 35
[6,4,1,2,3,5,7,8] => 1100000 => [2,5] => 21
[6,3,2,1,4,5,7,8] => 1110000 => [3,4] => 35
[6,2,3,1,4,5,7,8] => 1010000 => [1,1,1,4] => 148
[6,3,1,2,4,5,7,8] => 1100000 => [2,5] => 21
[6,2,1,3,4,5,7,8] => 1100000 => [2,5] => 21
[6,1,2,3,4,5,7,8] => 1000000 => [1,6] => 7
[5,4,3,2,1,6,7,8] => 1111000 => [4,3] => 35
[4,5,3,2,1,6,7,8] => 0111000 => [1,3,3] => 110
[5,3,4,2,1,6,7,8] => 1011000 => [1,1,2,3] => 265
[4,3,5,2,1,6,7,8] => 1011000 => [1,1,2,3] => 265
[3,4,5,2,1,6,7,8] => 0011000 => [2,2,3] => 153
[5,4,2,3,1,6,7,8] => 1101000 => [2,1,1,3] => 262
[4,5,2,3,1,6,7,8] => 0101000 => [1,1,1,1,3] => 450
[5,3,2,4,1,6,7,8] => 1101000 => [2,1,1,3] => 262
[5,2,3,4,1,6,7,8] => 1001000 => [1,2,1,3] => 262
[4,3,2,5,1,6,7,8] => 1101000 => [2,1,1,3] => 262
[3,4,2,5,1,6,7,8] => 0101000 => [1,1,1,1,3] => 450
[4,2,3,5,1,6,7,8] => 1001000 => [1,2,1,3] => 262
[3,2,4,5,1,6,7,8] => 1001000 => [1,2,1,3] => 262
[2,3,4,5,1,6,7,8] => 0001000 => [3,1,3] => 110
[5,4,3,1,2,6,7,8] => 1110000 => [3,4] => 35
[5,3,4,1,2,6,7,8] => 1010000 => [1,1,1,4] => 148
[4,3,5,1,2,6,7,8] => 1010000 => [1,1,1,4] => 148
[3,4,5,1,2,6,7,8] => 0010000 => [2,1,4] => 85
[5,4,2,1,3,6,7,8] => 1110000 => [3,4] => 35
[4,5,2,1,3,6,7,8] => 0110000 => [1,2,4] => 85
[5,4,1,2,3,6,7,8] => 1100000 => [2,5] => 21
[4,5,1,2,3,6,7,8] => 0100000 => [1,1,5] => 37
[5,3,2,1,4,6,7,8] => 1110000 => [3,4] => 35
[5,2,3,1,4,6,7,8] => 1010000 => [1,1,1,4] => 148
[5,3,1,2,4,6,7,8] => 1100000 => [2,5] => 21
[5,2,1,3,4,6,7,8] => 1100000 => [2,5] => 21
[5,1,2,3,4,6,7,8] => 1000000 => [1,6] => 7
[4,3,2,1,5,6,7,8] => 1110000 => [3,4] => 35
[3,4,2,1,5,6,7,8] => 0110000 => [1,2,4] => 85
[4,2,3,1,5,6,7,8] => 1010000 => [1,1,1,4] => 148
[3,2,4,1,5,6,7,8] => 1010000 => [1,1,1,4] => 148
[2,3,4,1,5,6,7,8] => 0010000 => [2,1,4] => 85
[4,3,1,2,5,6,7,8] => 1100000 => [2,5] => 21
[3,4,1,2,5,6,7,8] => 0100000 => [1,1,5] => 37
[4,2,1,3,5,6,7,8] => 1100000 => [2,5] => 21
[4,1,2,3,5,6,7,8] => 1000000 => [1,6] => 7
[3,2,1,4,5,6,7,8] => 1100000 => [2,5] => 21
[2,3,1,4,5,6,7,8] => 0100000 => [1,1,5] => 37
[3,1,2,4,5,6,7,8] => 1000000 => [1,6] => 7
[2,1,3,4,5,6,7,8] => 1000000 => [1,6] => 7
[1,2,3,4,5,6,7,8] => 0000000 => [7] => 1
[6,8,7,5,4,3,2,1] => 0111111 => [1,6] => 7
[5,8,7,6,4,3,2,1] => 0111111 => [1,6] => 7
[5,7,8,6,4,3,2,1] => 0011111 => [2,5] => 21
[6,5,8,7,4,3,2,1] => 1011111 => [1,1,5] => 37
[5,6,8,7,4,3,2,1] => 0011111 => [2,5] => 21
[5,7,6,8,4,3,2,1] => 0101111 => [1,1,1,4] => 148
[4,8,7,6,5,3,2,1] => 0111111 => [1,6] => 7
[4,7,8,6,5,3,2,1] => 0011111 => [2,5] => 21
[4,6,8,7,5,3,2,1] => 0011111 => [2,5] => 21
[4,7,6,8,5,3,2,1] => 0101111 => [1,1,1,4] => 148
[4,6,7,8,5,3,2,1] => 0001111 => [3,4] => 35
[5,4,7,8,6,3,2,1] => 1001111 => [1,2,4] => 85
[4,5,8,7,6,3,2,1] => 0011111 => [2,5] => 21
[4,5,7,8,6,3,2,1] => 0001111 => [3,4] => 35
[6,5,4,8,7,3,2,1] => 1101111 => [2,1,4] => 85
[5,6,4,8,7,3,2,1] => 0101111 => [1,1,1,4] => 148
[4,6,5,8,7,3,2,1] => 0101111 => [1,1,1,4] => 148
[4,5,6,8,7,3,2,1] => 0001111 => [3,4] => 35
[5,7,6,4,8,3,2,1] => 0110111 => [1,2,1,3] => 262
[4,7,6,5,8,3,2,1] => 0110111 => [1,2,1,3] => 262
[4,6,7,5,8,3,2,1] => 0010111 => [2,1,1,3] => 262
[5,4,7,6,8,3,2,1] => 1010111 => [1,1,1,1,3] => 450
[4,5,7,6,8,3,2,1] => 0010111 => [2,1,1,3] => 262
[4,6,5,7,8,3,2,1] => 0100111 => [1,1,2,3] => 265
[3,8,7,6,5,4,2,1] => 0111111 => [1,6] => 7
[3,7,8,6,5,4,2,1] => 0011111 => [2,5] => 21
[3,6,8,7,5,4,2,1] => 0011111 => [2,5] => 21
[3,7,6,8,5,4,2,1] => 0101111 => [1,1,1,4] => 148
[3,5,8,7,6,4,2,1] => 0011111 => [2,5] => 21
[3,5,7,8,6,4,2,1] => 0001111 => [3,4] => 35
[3,5,6,8,7,4,2,1] => 0001111 => [3,4] => 35
[3,7,6,5,8,4,2,1] => 0110111 => [1,2,1,3] => 262
[3,6,7,5,8,4,2,1] => 0010111 => [2,1,1,3] => 262
[3,5,7,6,8,4,2,1] => 0010111 => [2,1,1,3] => 262
[3,5,6,7,8,4,2,1] => 0000111 => [4,3] => 35
[4,3,8,7,6,5,2,1] => 1011111 => [1,1,5] => 37
[4,3,7,8,6,5,2,1] => 1001111 => [1,2,4] => 85
[4,3,6,7,8,5,2,1] => 1000111 => [1,3,3] => 110
[3,4,8,7,6,5,2,1] => 0011111 => [2,5] => 21
[3,4,6,7,8,5,2,1] => 0000111 => [4,3] => 35
[5,4,3,8,7,6,2,1] => 1101111 => [2,1,4] => 85
[5,4,3,7,8,6,2,1] => 1100111 => [2,2,3] => 153
[3,5,4,7,8,6,2,1] => 0100111 => [1,1,2,3] => 265
[3,4,5,8,7,6,2,1] => 0001111 => [3,4] => 35
[3,4,5,7,8,6,2,1] => 0000111 => [4,3] => 35
[6,5,4,3,8,7,2,1] => 1110111 => [3,1,3] => 110
[5,6,4,3,8,7,2,1] => 0110111 => [1,2,1,3] => 262
[4,5,6,3,8,7,2,1] => 0010111 => [2,1,1,3] => 262
[4,3,6,5,8,7,2,1] => 1010111 => [1,1,1,1,3] => 450
[5,4,3,6,8,7,2,1] => 1100111 => [2,2,3] => 153
[4,5,3,6,8,7,2,1] => 0100111 => [1,1,2,3] => 265
[3,4,5,6,8,7,2,1] => 0000111 => [4,3] => 35
[5,7,6,4,3,8,2,1] => 0111011 => [1,3,1,2] => 259
[4,7,6,5,3,8,2,1] => 0111011 => [1,3,1,2] => 259
[5,4,7,6,3,8,2,1] => 1011011 => [1,1,2,1,2] => 611
[3,7,6,5,4,8,2,1] => 0111011 => [1,3,1,2] => 259
[3,5,7,6,4,8,2,1] => 0011011 => [2,2,1,2] => 357
[3,5,6,7,4,8,2,1] => 0001011 => [3,1,1,2] => 259
[4,3,7,6,5,8,2,1] => 1011011 => [1,1,2,1,2] => 611
[3,4,7,6,5,8,2,1] => 0011011 => [2,2,1,2] => 357
[3,4,6,7,5,8,2,1] => 0001011 => [3,1,1,2] => 259
[4,5,3,7,6,8,2,1] => 0101011 => [1,1,1,1,1,2] => 1023
[3,5,4,7,6,8,2,1] => 0101011 => [1,1,1,1,1,2] => 1023
[4,3,5,7,6,8,2,1] => 1001011 => [1,2,1,1,2] => 603
[3,4,5,7,6,8,2,1] => 0001011 => [3,1,1,2] => 259
[3,6,5,4,7,8,2,1] => 0110011 => [1,2,2,2] => 363
[3,5,6,4,7,8,2,1] => 0010011 => [2,1,2,2] => 363
[4,3,6,5,7,8,2,1] => 1010011 => [1,1,1,2,2] => 622
[3,4,6,5,7,8,2,1] => 0010011 => [2,1,2,2] => 363
[3,5,4,6,7,8,2,1] => 0100011 => [1,1,3,2] => 265
[2,8,7,6,5,4,3,1] => 0111111 => [1,6] => 7
[2,7,8,6,5,4,3,1] => 0011111 => [2,5] => 21
[2,6,8,7,5,4,3,1] => 0011111 => [2,5] => 21
[2,7,6,8,5,4,3,1] => 0101111 => [1,1,1,4] => 148
[2,6,7,8,5,4,3,1] => 0001111 => [3,4] => 35
[2,5,8,7,6,4,3,1] => 0011111 => [2,5] => 21
[2,6,7,5,8,4,3,1] => 0010111 => [2,1,1,3] => 262
[2,6,5,7,8,4,3,1] => 0100111 => [1,1,2,3] => 265
[2,5,6,7,8,4,3,1] => 0000111 => [4,3] => 35
[2,4,8,7,6,5,3,1] => 0011111 => [2,5] => 21
[2,4,7,8,6,5,3,1] => 0001111 => [3,4] => 35
[2,4,6,8,7,5,3,1] => 0001111 => [3,4] => 35
[2,4,6,7,8,5,3,1] => 0000111 => [4,3] => 35
[2,5,4,8,7,6,3,1] => 0101111 => [1,1,1,4] => 148
[2,5,4,7,8,6,3,1] => 0100111 => [1,1,2,3] => 265
[2,4,5,7,8,6,3,1] => 0000111 => [4,3] => 35
[2,6,5,4,8,7,3,1] => 0110111 => [1,2,1,3] => 262
[2,5,6,4,8,7,3,1] => 0010111 => [2,1,1,3] => 262
[2,4,6,5,8,7,3,1] => 0010111 => [2,1,1,3] => 262
[2,4,5,6,8,7,3,1] => 0000111 => [4,3] => 35
[2,7,6,5,4,8,3,1] => 0111011 => [1,3,1,2] => 259
[2,6,7,5,4,8,3,1] => 0011011 => [2,2,1,2] => 357
[2,5,6,7,4,8,3,1] => 0001011 => [3,1,1,2] => 259
[2,4,7,6,5,8,3,1] => 0011011 => [2,2,1,2] => 357
[2,4,6,7,5,8,3,1] => 0001011 => [3,1,1,2] => 259
[2,5,4,7,6,8,3,1] => 0101011 => [1,1,1,1,1,2] => 1023
[2,6,5,4,7,8,3,1] => 0110011 => [1,2,2,2] => 363
[2,5,6,4,7,8,3,1] => 0010011 => [2,1,2,2] => 363
[2,4,6,5,7,8,3,1] => 0010011 => [2,1,2,2] => 363
[2,5,4,6,7,8,3,1] => 0100011 => [1,1,3,2] => 265
[2,4,5,6,7,8,3,1] => 0000011 => [5,2] => 21
[3,2,8,7,6,5,4,1] => 1011111 => [1,1,5] => 37
[3,2,6,8,7,5,4,1] => 1001111 => [1,2,4] => 85
[3,2,5,7,8,6,4,1] => 1000111 => [1,3,3] => 110
[3,2,6,5,8,7,4,1] => 1010111 => [1,1,1,1,3] => 450
[3,2,5,7,6,8,4,1] => 1001011 => [1,2,1,1,2] => 603
[3,2,5,6,7,8,4,1] => 1000011 => [1,4,2] => 85
[2,3,8,7,6,5,4,1] => 0011111 => [2,5] => 21
[2,3,6,7,8,5,4,1] => 0000111 => [4,3] => 35
[2,3,5,7,8,6,4,1] => 0000111 => [4,3] => 35
[2,3,6,5,8,7,4,1] => 0010111 => [2,1,1,3] => 262
[2,3,5,6,8,7,4,1] => 0000111 => [4,3] => 35
[2,3,7,6,5,8,4,1] => 0011011 => [2,2,1,2] => 357
[2,3,5,7,6,8,4,1] => 0001011 => [3,1,1,2] => 259
[2,3,5,6,7,8,4,1] => 0000011 => [5,2] => 21
[4,3,2,8,7,6,5,1] => 1101111 => [2,1,4] => 85
[4,3,2,7,8,6,5,1] => 1100111 => [2,2,3] => 153
[3,4,2,8,7,6,5,1] => 0101111 => [1,1,1,4] => 148
[3,4,2,7,8,6,5,1] => 0100111 => [1,1,2,3] => 265
[2,4,3,8,7,6,5,1] => 0101111 => [1,1,1,4] => 148
[2,4,3,6,8,7,5,1] => 0100111 => [1,1,2,3] => 265
[2,4,3,6,7,8,5,1] => 0100011 => [1,1,3,2] => 265
[3,2,4,8,7,6,5,1] => 1001111 => [1,2,4] => 85
[3,2,4,7,8,6,5,1] => 1000111 => [1,3,3] => 110
[2,3,4,8,7,6,5,1] => 0001111 => [3,4] => 35
[2,3,4,7,8,6,5,1] => 0000111 => [4,3] => 35
[2,3,4,6,8,7,5,1] => 0000111 => [4,3] => 35
[2,3,4,7,6,8,5,1] => 0001011 => [3,1,1,2] => 259
[2,3,4,6,7,8,5,1] => 0000011 => [5,2] => 21
[5,4,3,2,8,7,6,1] => 1110111 => [3,1,3] => 110
[5,4,3,2,7,8,6,1] => 1110011 => [3,2,2] => 153
[3,5,4,2,7,8,6,1] => 0110011 => [1,2,2,2] => 363
[3,4,5,2,7,8,6,1] => 0010011 => [2,1,2,2] => 363
[2,5,4,3,8,7,6,1] => 0110111 => [1,2,1,3] => 262
[2,5,4,3,7,8,6,1] => 0110011 => [1,2,2,2] => 363
[2,4,5,3,8,7,6,1] => 0010111 => [2,1,1,3] => 262
[2,4,5,3,7,8,6,1] => 0010011 => [2,1,2,2] => 363
[3,2,5,4,7,8,6,1] => 1010011 => [1,1,1,2,2] => 622
[2,3,5,4,8,7,6,1] => 0010111 => [2,1,1,3] => 262
[2,3,5,4,7,8,6,1] => 0010011 => [2,1,2,2] => 363
[4,3,2,5,8,7,6,1] => 1100111 => [2,2,3] => 153
[4,3,2,5,7,8,6,1] => 1100011 => [2,3,2] => 153
[3,4,2,5,8,7,6,1] => 0100111 => [1,1,2,3] => 265
[3,4,2,5,7,8,6,1] => 0100011 => [1,1,3,2] => 265
[2,4,3,5,8,7,6,1] => 0100111 => [1,1,2,3] => 265
[3,2,4,5,7,8,6,1] => 1000011 => [1,4,2] => 85
[2,3,4,5,8,7,6,1] => 0000111 => [4,3] => 35
[2,3,4,5,7,8,6,1] => 0000011 => [5,2] => 21
[6,5,4,3,2,8,7,1] => 1111011 => [4,1,2] => 85
[4,6,5,3,2,8,7,1] => 0111011 => [1,3,1,2] => 259
[5,4,6,3,2,8,7,1] => 1011011 => [1,1,2,1,2] => 611
[4,5,6,3,2,8,7,1] => 0011011 => [2,2,1,2] => 357
[3,6,5,4,2,8,7,1] => 0111011 => [1,3,1,2] => 259
[3,5,6,4,2,8,7,1] => 0011011 => [2,2,1,2] => 357
[4,3,6,5,2,8,7,1] => 1011011 => [1,1,2,1,2] => 611
[5,4,3,6,2,8,7,1] => 1101011 => [2,1,1,1,2] => 603
[4,5,3,6,2,8,7,1] => 0101011 => [1,1,1,1,1,2] => 1023
[3,5,4,6,2,8,7,1] => 0101011 => [1,1,1,1,1,2] => 1023
[3,4,5,6,2,8,7,1] => 0001011 => [3,1,1,2] => 259
[2,6,5,4,3,8,7,1] => 0111011 => [1,3,1,2] => 259
[2,4,6,5,3,8,7,1] => 0011011 => [2,2,1,2] => 357
[2,4,5,6,3,8,7,1] => 0001011 => [3,1,1,2] => 259
[3,2,6,5,4,8,7,1] => 1011011 => [1,1,2,1,2] => 611
[2,3,5,6,4,8,7,1] => 0001011 => [3,1,1,2] => 259
[4,3,2,6,5,8,7,1] => 1101011 => [2,1,1,1,2] => 603
[2,4,3,6,5,8,7,1] => 0101011 => [1,1,1,1,1,2] => 1023
[3,2,4,6,5,8,7,1] => 1001011 => [1,2,1,1,2] => 603
[2,3,4,6,5,8,7,1] => 0001011 => [3,1,1,2] => 259
[5,4,3,2,6,8,7,1] => 1110011 => [3,2,2] => 153
[4,5,3,2,6,8,7,1] => 0110011 => [1,2,2,2] => 363
[2,5,4,3,6,8,7,1] => 0110011 => [1,2,2,2] => 363
[2,4,5,3,6,8,7,1] => 0010011 => [2,1,2,2] => 363
[3,2,5,4,6,8,7,1] => 1010011 => [1,1,1,2,2] => 622
[4,3,2,5,6,8,7,1] => 1100011 => [2,3,2] => 153
[3,4,2,5,6,8,7,1] => 0100011 => [1,1,3,2] => 265
[2,4,3,5,6,8,7,1] => 0100011 => [1,1,3,2] => 265
[3,2,4,5,6,8,7,1] => 1000011 => [1,4,2] => 85
[2,3,4,5,6,8,7,1] => 0000011 => [5,2] => 21
[5,7,6,4,3,2,8,1] => 0111101 => [1,4,1,1] => 145
[4,7,6,5,3,2,8,1] => 0111101 => [1,4,1,1] => 145
[4,6,7,5,3,2,8,1] => 0011101 => [2,3,1,1] => 256
[4,6,5,7,3,2,8,1] => 0101101 => [1,1,1,2,1,1] => 1006
[3,5,7,6,4,2,8,1] => 0011101 => [2,3,1,1] => 256
[3,5,6,7,4,2,8,1] => 0001101 => [3,2,1,1] => 256
[4,3,7,6,5,2,8,1] => 1011101 => [1,1,3,1,1] => 439
[4,3,6,7,5,2,8,1] => 1001101 => [1,2,2,1,1] => 594
[3,4,7,6,5,2,8,1] => 0011101 => [2,3,1,1] => 256
[3,4,6,7,5,2,8,1] => 0001101 => [3,2,1,1] => 256
[5,4,3,7,6,2,8,1] => 1101101 => [2,1,2,1,1] => 594
[4,5,3,7,6,2,8,1] => 0101101 => [1,1,1,2,1,1] => 1006
[3,5,4,7,6,2,8,1] => 0101101 => [1,1,1,2,1,1] => 1006
[3,4,5,7,6,2,8,1] => 0001101 => [3,2,1,1] => 256
[4,6,5,3,7,2,8,1] => 0110101 => [1,2,1,1,1,1] => 969
[3,6,5,4,7,2,8,1] => 0110101 => [1,2,1,1,1,1] => 969
[3,5,6,4,7,2,8,1] => 0010101 => [2,1,1,1,1,1] => 969
[4,3,6,5,7,2,8,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[3,4,6,5,7,2,8,1] => 0010101 => [2,1,1,1,1,1] => 969
[3,5,4,6,7,2,8,1] => 0100101 => [1,1,2,1,1,1] => 984
[2,7,6,5,4,3,8,1] => 0111101 => [1,4,1,1] => 145
[2,6,5,7,4,3,8,1] => 0101101 => [1,1,1,2,1,1] => 1006
[2,5,6,7,4,3,8,1] => 0001101 => [3,2,1,1] => 256
[2,4,6,7,5,3,8,1] => 0001101 => [3,2,1,1] => 256
[2,5,4,7,6,3,8,1] => 0101101 => [1,1,1,2,1,1] => 1006
[2,4,6,5,7,3,8,1] => 0010101 => [2,1,1,1,1,1] => 969
[2,5,4,6,7,3,8,1] => 0100101 => [1,1,2,1,1,1] => 984
[2,4,5,6,7,3,8,1] => 0000101 => [4,1,1,1] => 145
[3,2,7,6,5,4,8,1] => 1011101 => [1,1,3,1,1] => 439
[3,2,6,7,5,4,8,1] => 1001101 => [1,2,2,1,1] => 594
[3,2,5,7,6,4,8,1] => 1001101 => [1,2,2,1,1] => 594
[3,2,6,5,7,4,8,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[3,2,5,6,7,4,8,1] => 1000101 => [1,3,1,1,1] => 427
[2,3,7,6,5,4,8,1] => 0011101 => [2,3,1,1] => 256
[2,3,5,7,6,4,8,1] => 0001101 => [3,2,1,1] => 256
[2,3,5,6,7,4,8,1] => 0000101 => [4,1,1,1] => 145
[4,3,2,7,6,5,8,1] => 1101101 => [2,1,2,1,1] => 594
[4,3,2,6,7,5,8,1] => 1100101 => [2,2,1,1,1] => 582
[3,4,2,7,6,5,8,1] => 0101101 => [1,1,1,2,1,1] => 1006
[3,4,2,6,7,5,8,1] => 0100101 => [1,1,2,1,1,1] => 984
[2,4,3,7,6,5,8,1] => 0101101 => [1,1,1,2,1,1] => 1006
[2,4,3,6,7,5,8,1] => 0100101 => [1,1,2,1,1,1] => 984
[3,2,4,7,6,5,8,1] => 1001101 => [1,2,2,1,1] => 594
[2,3,4,7,6,5,8,1] => 0001101 => [3,2,1,1] => 256
[2,3,4,6,7,5,8,1] => 0000101 => [4,1,1,1] => 145
[5,4,3,2,7,6,8,1] => 1110101 => [3,1,1,1,1] => 427
[3,5,4,2,7,6,8,1] => 0110101 => [1,2,1,1,1,1] => 969
[4,3,5,2,7,6,8,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[3,4,5,2,7,6,8,1] => 0010101 => [2,1,1,1,1,1] => 969
[2,5,4,3,7,6,8,1] => 0110101 => [1,2,1,1,1,1] => 969
[3,2,5,4,7,6,8,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[2,3,5,4,7,6,8,1] => 0010101 => [2,1,1,1,1,1] => 969
[4,3,2,5,7,6,8,1] => 1100101 => [2,2,1,1,1] => 582
[3,4,2,5,7,6,8,1] => 0100101 => [1,1,2,1,1,1] => 984
[2,4,3,5,7,6,8,1] => 0100101 => [1,1,2,1,1,1] => 984
[3,2,4,5,7,6,8,1] => 1000101 => [1,3,1,1,1] => 427
[2,3,4,5,7,6,8,1] => 0000101 => [4,1,1,1] => 145
[3,6,5,4,2,7,8,1] => 0111001 => [1,3,2,1] => 259
[3,5,6,4,2,7,8,1] => 0011001 => [2,2,2,1] => 357
[3,4,6,5,2,7,8,1] => 0011001 => [2,2,2,1] => 357
[3,5,4,6,2,7,8,1] => 0101001 => [1,1,1,1,2,1] => 1023
[2,6,5,4,3,7,8,1] => 0111001 => [1,3,2,1] => 259
[2,5,6,4,3,7,8,1] => 0011001 => [2,2,2,1] => 357
[2,4,6,5,3,7,8,1] => 0011001 => [2,2,2,1] => 357
[2,5,4,6,3,7,8,1] => 0101001 => [1,1,1,1,2,1] => 1023
[2,4,5,6,3,7,8,1] => 0001001 => [3,1,2,1] => 259
[3,2,5,6,4,7,8,1] => 1001001 => [1,2,1,2,1] => 603
[2,3,6,5,4,7,8,1] => 0011001 => [2,2,2,1] => 357
[2,3,5,6,4,7,8,1] => 0001001 => [3,1,2,1] => 259
[4,3,2,6,5,7,8,1] => 1101001 => [2,1,1,2,1] => 603
[3,4,2,6,5,7,8,1] => 0101001 => [1,1,1,1,2,1] => 1023
[2,4,3,6,5,7,8,1] => 0101001 => [1,1,1,1,2,1] => 1023
[2,3,4,6,5,7,8,1] => 0001001 => [3,1,2,1] => 259
[3,5,4,2,6,7,8,1] => 0110001 => [1,2,3,1] => 262
[2,5,4,3,6,7,8,1] => 0110001 => [1,2,3,1] => 262
[2,4,5,3,6,7,8,1] => 0010001 => [2,1,3,1] => 262
[3,2,5,4,6,7,8,1] => 1010001 => [1,1,1,3,1] => 450
[2,3,5,4,6,7,8,1] => 0010001 => [2,1,3,1] => 262
[2,4,3,5,6,7,8,1] => 0100001 => [1,1,4,1] => 148
[1,8,7,6,5,4,3,2] => 0111111 => [1,6] => 7
[1,7,8,6,5,4,3,2] => 0011111 => [2,5] => 21
[1,6,8,7,5,4,3,2] => 0011111 => [2,5] => 21
[1,7,6,8,5,4,3,2] => 0101111 => [1,1,1,4] => 148
[1,6,7,8,5,4,3,2] => 0001111 => [3,4] => 35
[1,5,8,7,6,4,3,2] => 0011111 => [2,5] => 21
[1,6,5,8,7,4,3,2] => 0101111 => [1,1,1,4] => 148
[1,7,6,5,8,4,3,2] => 0110111 => [1,2,1,3] => 262
[1,6,7,5,8,4,3,2] => 0010111 => [2,1,1,3] => 262
[1,5,7,6,8,4,3,2] => 0010111 => [2,1,1,3] => 262
[1,6,5,7,8,4,3,2] => 0100111 => [1,1,2,3] => 265
[1,5,6,7,8,4,3,2] => 0000111 => [4,3] => 35
[1,4,8,7,6,5,3,2] => 0011111 => [2,5] => 21
[1,4,7,8,6,5,3,2] => 0001111 => [3,4] => 35
[1,4,6,8,7,5,3,2] => 0001111 => [3,4] => 35
[1,4,6,7,8,5,3,2] => 0000111 => [4,3] => 35
[1,5,4,7,8,6,3,2] => 0100111 => [1,1,2,3] => 265
[1,4,5,8,7,6,3,2] => 0001111 => [3,4] => 35
[1,4,5,7,8,6,3,2] => 0000111 => [4,3] => 35
[1,6,5,4,8,7,3,2] => 0110111 => [1,2,1,3] => 262
[1,4,6,5,8,7,3,2] => 0010111 => [2,1,1,3] => 262
[1,7,6,5,4,8,3,2] => 0111011 => [1,3,1,2] => 259
[1,4,7,6,5,8,3,2] => 0011011 => [2,2,1,2] => 357
[1,4,6,7,5,8,3,2] => 0001011 => [3,1,1,2] => 259
[1,6,5,4,7,8,3,2] => 0110011 => [1,2,2,2] => 363
[1,5,6,4,7,8,3,2] => 0010011 => [2,1,2,2] => 363
[1,5,4,6,7,8,3,2] => 0100011 => [1,1,3,2] => 265
[1,4,5,6,7,8,3,2] => 0000011 => [5,2] => 21
[1,3,8,7,6,5,4,2] => 0011111 => [2,5] => 21
[1,3,7,8,6,5,4,2] => 0001111 => [3,4] => 35
[1,3,6,8,7,5,4,2] => 0001111 => [3,4] => 35
[1,3,6,7,8,5,4,2] => 0000111 => [4,3] => 35
[1,3,5,8,7,6,4,2] => 0001111 => [3,4] => 35
[1,3,5,7,8,6,4,2] => 0000111 => [4,3] => 35
[1,3,5,6,8,7,4,2] => 0000111 => [4,3] => 35
[1,3,6,7,5,8,4,2] => 0001011 => [3,1,1,2] => 259
[1,3,5,7,6,8,4,2] => 0001011 => [3,1,1,2] => 259
[1,3,6,5,7,8,4,2] => 0010011 => [2,1,2,2] => 363
[1,3,5,6,7,8,4,2] => 0000011 => [5,2] => 21
[1,4,3,8,7,6,5,2] => 0101111 => [1,1,1,4] => 148
[1,4,3,7,8,6,5,2] => 0100111 => [1,1,2,3] => 265
[1,4,3,6,8,7,5,2] => 0100111 => [1,1,2,3] => 265
[1,4,3,7,6,8,5,2] => 0101011 => [1,1,1,1,1,2] => 1023
[1,4,3,6,7,8,5,2] => 0100011 => [1,1,3,2] => 265
[1,3,4,8,7,6,5,2] => 0001111 => [3,4] => 35
[1,3,4,7,6,8,5,2] => 0001011 => [3,1,1,2] => 259
[1,3,4,6,7,8,5,2] => 0000011 => [5,2] => 21
[1,5,4,3,8,7,6,2] => 0110111 => [1,2,1,3] => 262
[1,4,5,3,8,7,6,2] => 0010111 => [2,1,1,3] => 262
[1,4,5,3,7,8,6,2] => 0010011 => [2,1,2,2] => 363
[1,3,5,4,8,7,6,2] => 0010111 => [2,1,1,3] => 262
[1,3,5,4,7,8,6,2] => 0010011 => [2,1,2,2] => 363
[1,4,3,5,8,7,6,2] => 0100111 => [1,1,2,3] => 265
[1,4,3,5,7,8,6,2] => 0100011 => [1,1,3,2] => 265
[1,3,4,5,8,7,6,2] => 0000111 => [4,3] => 35
[1,3,4,5,7,8,6,2] => 0000011 => [5,2] => 21
[1,6,5,4,3,8,7,2] => 0111011 => [1,3,1,2] => 259
[1,5,6,4,3,8,7,2] => 0011011 => [2,2,1,2] => 357
[1,4,6,5,3,8,7,2] => 0011011 => [2,2,1,2] => 357
[1,4,5,6,3,8,7,2] => 0001011 => [3,1,1,2] => 259
[1,3,6,5,4,8,7,2] => 0011011 => [2,2,1,2] => 357
[1,4,3,6,5,8,7,2] => 0101011 => [1,1,1,1,1,2] => 1023
[1,5,4,3,6,8,7,2] => 0110011 => [1,2,2,2] => 363
[1,4,5,3,6,8,7,2] => 0010011 => [2,1,2,2] => 363
[1,3,4,5,6,8,7,2] => 0000011 => [5,2] => 21
[1,7,6,5,4,3,8,2] => 0111101 => [1,4,1,1] => 145
[1,6,7,5,4,3,8,2] => 0011101 => [2,3,1,1] => 256
[1,6,5,7,4,3,8,2] => 0101101 => [1,1,1,2,1,1] => 1006
[1,4,6,7,5,3,8,2] => 0001101 => [3,2,1,1] => 256
[1,5,6,4,7,3,8,2] => 0010101 => [2,1,1,1,1,1] => 969
[1,4,6,5,7,3,8,2] => 0010101 => [2,1,1,1,1,1] => 969
[1,5,4,6,7,3,8,2] => 0100101 => [1,1,2,1,1,1] => 984
[1,4,5,6,7,3,8,2] => 0000101 => [4,1,1,1] => 145
[1,3,5,7,6,4,8,2] => 0001101 => [3,2,1,1] => 256
[1,3,6,5,7,4,8,2] => 0010101 => [2,1,1,1,1,1] => 969
[1,3,5,6,7,4,8,2] => 0000101 => [4,1,1,1] => 145
[1,4,3,6,7,5,8,2] => 0100101 => [1,1,2,1,1,1] => 984
[1,3,4,7,6,5,8,2] => 0001101 => [3,2,1,1] => 256
[1,3,4,6,7,5,8,2] => 0000101 => [4,1,1,1] => 145
[1,3,5,4,7,6,8,2] => 0010101 => [2,1,1,1,1,1] => 969
[1,3,4,5,7,6,8,2] => 0000101 => [4,1,1,1] => 145
[1,6,5,4,3,7,8,2] => 0111001 => [1,3,2,1] => 259
[1,5,4,6,3,7,8,2] => 0101001 => [1,1,1,1,2,1] => 1023
[1,3,5,6,4,7,8,2] => 0001001 => [3,1,2,1] => 259
[1,4,3,6,5,7,8,2] => 0101001 => [1,1,1,1,2,1] => 1023
[1,3,4,6,5,7,8,2] => 0001001 => [3,1,2,1] => 259
[1,5,4,3,6,7,8,2] => 0110001 => [1,2,3,1] => 262
[1,4,5,3,6,7,8,2] => 0010001 => [2,1,3,1] => 262
[1,3,5,4,6,7,8,2] => 0010001 => [2,1,3,1] => 262
[1,4,3,5,6,7,8,2] => 0100001 => [1,1,4,1] => 148
[1,3,4,5,6,7,8,2] => 0000001 => [6,1] => 7
[2,1,8,7,6,5,4,3] => 1011111 => [1,1,5] => 37
[2,1,7,8,6,5,4,3] => 1001111 => [1,2,4] => 85
[2,1,6,8,7,5,4,3] => 1001111 => [1,2,4] => 85
[2,1,7,6,8,5,4,3] => 1010111 => [1,1,1,1,3] => 450
[2,1,6,7,8,5,4,3] => 1000111 => [1,3,3] => 110
[2,1,5,8,7,6,4,3] => 1001111 => [1,2,4] => 85
[2,1,5,7,8,6,4,3] => 1000111 => [1,3,3] => 110
[2,1,6,5,8,7,4,3] => 1010111 => [1,1,1,1,3] => 450
[2,1,5,6,8,7,4,3] => 1000111 => [1,3,3] => 110
[2,1,7,6,5,8,4,3] => 1011011 => [1,1,2,1,2] => 611
[2,1,6,7,5,8,4,3] => 1001011 => [1,2,1,1,2] => 603
[2,1,5,7,6,8,4,3] => 1001011 => [1,2,1,1,2] => 603
[2,1,6,5,7,8,4,3] => 1010011 => [1,1,1,2,2] => 622
[2,1,5,6,7,8,4,3] => 1000011 => [1,4,2] => 85
[2,1,4,8,7,6,5,3] => 1001111 => [1,2,4] => 85
[2,1,4,7,8,6,5,3] => 1000111 => [1,3,3] => 110
[2,1,4,6,8,7,5,3] => 1000111 => [1,3,3] => 110
[2,1,4,7,6,8,5,3] => 1001011 => [1,2,1,1,2] => 603
[2,1,4,6,7,8,5,3] => 1000011 => [1,4,2] => 85
[2,1,5,4,8,7,6,3] => 1010111 => [1,1,1,1,3] => 450
[2,1,5,4,7,8,6,3] => 1010011 => [1,1,1,2,2] => 622
[2,1,4,5,8,7,6,3] => 1000111 => [1,3,3] => 110
[2,1,4,5,7,8,6,3] => 1000011 => [1,4,2] => 85
[2,1,6,5,4,8,7,3] => 1011011 => [1,1,2,1,2] => 611
[2,1,5,6,4,8,7,3] => 1001011 => [1,2,1,1,2] => 603
[2,1,4,6,5,8,7,3] => 1001011 => [1,2,1,1,2] => 603
[2,1,5,4,6,8,7,3] => 1010011 => [1,1,1,2,2] => 622
[2,1,4,5,6,8,7,3] => 1000011 => [1,4,2] => 85
[2,1,7,6,5,4,8,3] => 1011101 => [1,1,3,1,1] => 439
[2,1,6,7,5,4,8,3] => 1001101 => [1,2,2,1,1] => 594
[2,1,5,7,6,4,8,3] => 1001101 => [1,2,2,1,1] => 594
[2,1,6,5,7,4,8,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[2,1,5,6,7,4,8,3] => 1000101 => [1,3,1,1,1] => 427
[2,1,4,7,6,5,8,3] => 1001101 => [1,2,2,1,1] => 594
[2,1,4,6,7,5,8,3] => 1000101 => [1,3,1,1,1] => 427
[2,1,5,4,7,6,8,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[2,1,5,6,4,7,8,3] => 1001001 => [1,2,1,2,1] => 603
[2,1,5,4,6,7,8,3] => 1010001 => [1,1,1,3,1] => 450
[2,1,4,5,6,7,8,3] => 1000001 => [1,5,1] => 37
[1,2,8,7,6,5,4,3] => 0011111 => [2,5] => 21
[1,2,7,8,6,5,4,3] => 0001111 => [3,4] => 35
[1,2,7,6,8,5,4,3] => 0010111 => [2,1,1,3] => 262
[1,2,6,7,8,5,4,3] => 0000111 => [4,3] => 35
[1,2,5,8,7,6,4,3] => 0001111 => [3,4] => 35
[1,2,6,5,8,7,4,3] => 0010111 => [2,1,1,3] => 262
[1,2,5,6,8,7,4,3] => 0000111 => [4,3] => 35
[1,2,7,6,5,8,4,3] => 0011011 => [2,2,1,2] => 357
[1,2,5,7,6,8,4,3] => 0001011 => [3,1,1,2] => 259
[1,2,6,5,7,8,4,3] => 0010011 => [2,1,2,2] => 363
[1,2,5,6,7,8,4,3] => 0000011 => [5,2] => 21
[1,2,4,8,7,6,5,3] => 0001111 => [3,4] => 35
[1,2,4,7,8,6,5,3] => 0000111 => [4,3] => 35
[1,2,4,6,8,7,5,3] => 0000111 => [4,3] => 35
[1,2,4,7,6,8,5,3] => 0001011 => [3,1,1,2] => 259
[1,2,4,6,7,8,5,3] => 0000011 => [5,2] => 21
[1,2,5,4,8,7,6,3] => 0010111 => [2,1,1,3] => 262
[1,2,4,5,8,7,6,3] => 0000111 => [4,3] => 35
[1,2,4,5,7,8,6,3] => 0000011 => [5,2] => 21
[1,2,6,5,4,8,7,3] => 0011011 => [2,2,1,2] => 357
[1,2,5,4,6,8,7,3] => 0010011 => [2,1,2,2] => 363
[1,2,4,5,6,8,7,3] => 0000011 => [5,2] => 21
[1,2,7,6,5,4,8,3] => 0011101 => [2,3,1,1] => 256
[1,2,5,7,6,4,8,3] => 0001101 => [3,2,1,1] => 256
[1,2,5,6,7,4,8,3] => 0000101 => [4,1,1,1] => 145
[1,2,4,7,6,5,8,3] => 0001101 => [3,2,1,1] => 256
[1,2,5,4,7,6,8,3] => 0010101 => [2,1,1,1,1,1] => 969
[1,2,6,5,4,7,8,3] => 0011001 => [2,2,2,1] => 357
[1,2,5,6,4,7,8,3] => 0001001 => [3,1,2,1] => 259
[1,2,4,6,5,7,8,3] => 0001001 => [3,1,2,1] => 259
[1,2,5,4,6,7,8,3] => 0010001 => [2,1,3,1] => 262
[1,2,4,5,6,7,8,3] => 0000001 => [6,1] => 7
[3,2,1,8,7,6,5,4] => 1101111 => [2,1,4] => 85
[3,2,1,7,8,6,5,4] => 1100111 => [2,2,3] => 153
[3,2,1,6,8,7,5,4] => 1100111 => [2,2,3] => 153
[3,2,1,7,6,8,5,4] => 1101011 => [2,1,1,1,2] => 603
[3,2,1,6,7,8,5,4] => 1100011 => [2,3,2] => 153
[3,2,1,5,8,7,6,4] => 1100111 => [2,2,3] => 153
[3,2,1,5,7,8,6,4] => 1100011 => [2,3,2] => 153
[3,2,1,6,5,8,7,4] => 1101011 => [2,1,1,1,2] => 603
[3,2,1,5,6,8,7,4] => 1100011 => [2,3,2] => 153
[3,2,1,7,6,5,8,4] => 1101101 => [2,1,2,1,1] => 594
[3,2,1,6,7,5,8,4] => 1100101 => [2,2,1,1,1] => 582
[3,2,1,5,7,6,8,4] => 1100101 => [2,2,1,1,1] => 582
[3,2,1,6,5,7,8,4] => 1101001 => [2,1,1,2,1] => 603
[3,2,1,5,6,7,8,4] => 1100001 => [2,4,1] => 85
[2,3,1,8,7,6,5,4] => 0101111 => [1,1,1,4] => 148
[2,3,1,7,8,6,5,4] => 0100111 => [1,1,2,3] => 265
[2,3,1,6,8,7,5,4] => 0100111 => [1,1,2,3] => 265
[2,3,1,7,6,8,5,4] => 0101011 => [1,1,1,1,1,2] => 1023
[2,3,1,6,7,8,5,4] => 0100011 => [1,1,3,2] => 265
[2,3,1,5,7,8,6,4] => 0100011 => [1,1,3,2] => 265
[2,3,1,6,5,8,7,4] => 0101011 => [1,1,1,1,1,2] => 1023
[2,3,1,7,6,5,8,4] => 0101101 => [1,1,1,2,1,1] => 1006
[2,3,1,6,7,5,8,4] => 0100101 => [1,1,2,1,1,1] => 984
[2,3,1,5,7,6,8,4] => 0100101 => [1,1,2,1,1,1] => 984
[2,3,1,5,6,7,8,4] => 0100001 => [1,1,4,1] => 148
[1,3,2,8,7,6,5,4] => 0101111 => [1,1,1,4] => 148
[1,3,2,6,8,7,5,4] => 0100111 => [1,1,2,3] => 265
[1,3,2,7,6,8,5,4] => 0101011 => [1,1,1,1,1,2] => 1023
[1,3,2,6,7,8,5,4] => 0100011 => [1,1,3,2] => 265
[1,3,2,5,8,7,6,4] => 0100111 => [1,1,2,3] => 265
[1,3,2,5,7,8,6,4] => 0100011 => [1,1,3,2] => 265
[1,3,2,6,5,8,7,4] => 0101011 => [1,1,1,1,1,2] => 1023
[1,3,2,5,6,8,7,4] => 0100011 => [1,1,3,2] => 265
[1,3,2,7,6,5,8,4] => 0101101 => [1,1,1,2,1,1] => 1006
[1,3,2,6,7,5,8,4] => 0100101 => [1,1,2,1,1,1] => 984
[1,3,2,5,7,6,8,4] => 0100101 => [1,1,2,1,1,1] => 984
[1,3,2,6,5,7,8,4] => 0101001 => [1,1,1,1,2,1] => 1023
[1,3,2,5,6,7,8,4] => 0100001 => [1,1,4,1] => 148
[2,1,3,8,7,6,5,4] => 1001111 => [1,2,4] => 85
[2,1,3,7,8,6,5,4] => 1000111 => [1,3,3] => 110
[2,1,3,6,8,7,5,4] => 1000111 => [1,3,3] => 110
[2,1,3,6,7,8,5,4] => 1000011 => [1,4,2] => 85
[2,1,3,6,5,8,7,4] => 1001011 => [1,2,1,1,2] => 603
[2,1,3,5,7,6,8,4] => 1000101 => [1,3,1,1,1] => 427
[2,1,3,5,6,7,8,4] => 1000001 => [1,5,1] => 37
[1,2,3,8,7,6,5,4] => 0001111 => [3,4] => 35
[1,2,3,7,8,6,5,4] => 0000111 => [4,3] => 35
[1,2,3,6,8,7,5,4] => 0000111 => [4,3] => 35
[1,2,3,7,6,8,5,4] => 0001011 => [3,1,1,2] => 259
[1,2,3,6,7,8,5,4] => 0000011 => [5,2] => 21
[1,2,3,5,8,7,6,4] => 0000111 => [4,3] => 35
[1,2,3,5,7,8,6,4] => 0000011 => [5,2] => 21
[1,2,3,6,5,8,7,4] => 0001011 => [3,1,1,2] => 259
[1,2,3,5,6,8,7,4] => 0000011 => [5,2] => 21
[1,2,3,7,6,5,8,4] => 0001101 => [3,2,1,1] => 256
[1,2,3,6,7,5,8,4] => 0000101 => [4,1,1,1] => 145
[1,2,3,5,7,6,8,4] => 0000101 => [4,1,1,1] => 145
[1,2,3,6,5,7,8,4] => 0001001 => [3,1,2,1] => 259
[1,2,3,5,6,7,8,4] => 0000001 => [6,1] => 7
[4,3,2,1,8,7,6,5] => 1110111 => [3,1,3] => 110
[4,3,2,1,7,8,6,5] => 1110011 => [3,2,2] => 153
[4,3,2,1,6,8,7,5] => 1110011 => [3,2,2] => 153
[4,3,2,1,7,6,8,5] => 1110101 => [3,1,1,1,1] => 427
[4,3,2,1,6,7,8,5] => 1110001 => [3,3,1] => 110
[3,4,2,1,8,7,6,5] => 0110111 => [1,2,1,3] => 262
[3,4,2,1,7,8,6,5] => 0110011 => [1,2,2,2] => 363
[3,4,2,1,6,8,7,5] => 0110011 => [1,2,2,2] => 363
[3,4,2,1,7,6,8,5] => 0110101 => [1,2,1,1,1,1] => 969
[3,4,2,1,6,7,8,5] => 0110001 => [1,2,3,1] => 262
[2,4,3,1,8,7,6,5] => 0110111 => [1,2,1,3] => 262
[2,4,3,1,7,8,6,5] => 0110011 => [1,2,2,2] => 363
[2,4,3,1,6,8,7,5] => 0110011 => [1,2,2,2] => 363
[2,4,3,1,7,6,8,5] => 0110101 => [1,2,1,1,1,1] => 969
[2,4,3,1,6,7,8,5] => 0110001 => [1,2,3,1] => 262
[3,2,4,1,8,7,6,5] => 1010111 => [1,1,1,1,3] => 450
[3,2,4,1,7,8,6,5] => 1010011 => [1,1,1,2,2] => 622
[3,2,4,1,6,8,7,5] => 1010011 => [1,1,1,2,2] => 622
[3,2,4,1,7,6,8,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[3,2,4,1,6,7,8,5] => 1010001 => [1,1,1,3,1] => 450
[2,3,4,1,8,7,6,5] => 0010111 => [2,1,1,3] => 262
[2,3,4,1,7,8,6,5] => 0010011 => [2,1,2,2] => 363
[2,3,4,1,6,8,7,5] => 0010011 => [2,1,2,2] => 363
[2,3,4,1,7,6,8,5] => 0010101 => [2,1,1,1,1,1] => 969
[2,3,4,1,6,7,8,5] => 0010001 => [2,1,3,1] => 262
[1,4,3,2,8,7,6,5] => 0110111 => [1,2,1,3] => 262
[1,4,3,2,6,8,7,5] => 0110011 => [1,2,2,2] => 363
[1,4,3,2,7,6,8,5] => 0110101 => [1,2,1,1,1,1] => 969
[1,4,3,2,6,7,8,5] => 0110001 => [1,2,3,1] => 262
[1,3,4,2,8,7,6,5] => 0010111 => [2,1,1,3] => 262
[1,3,4,2,7,8,6,5] => 0010011 => [2,1,2,2] => 363
[1,3,4,2,6,8,7,5] => 0010011 => [2,1,2,2] => 363
[1,3,4,2,7,6,8,5] => 0010101 => [2,1,1,1,1,1] => 969
[1,3,4,2,6,7,8,5] => 0010001 => [2,1,3,1] => 262
[2,1,4,3,8,7,6,5] => 1010111 => [1,1,1,1,3] => 450
[2,1,4,3,7,8,6,5] => 1010011 => [1,1,1,2,2] => 622
[2,1,4,3,6,8,7,5] => 1010011 => [1,1,1,2,2] => 622
[2,1,4,3,7,6,8,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[2,1,4,3,6,7,8,5] => 1010001 => [1,1,1,3,1] => 450
[1,2,4,3,8,7,6,5] => 0010111 => [2,1,1,3] => 262
[1,2,4,3,7,8,6,5] => 0010011 => [2,1,2,2] => 363
[1,2,4,3,6,8,7,5] => 0010011 => [2,1,2,2] => 363
[1,2,4,3,7,6,8,5] => 0010101 => [2,1,1,1,1,1] => 969
[1,2,4,3,6,7,8,5] => 0010001 => [2,1,3,1] => 262
[3,2,1,4,8,7,6,5] => 1100111 => [2,2,3] => 153
[3,2,1,4,7,8,6,5] => 1100011 => [2,3,2] => 153
[3,2,1,4,6,8,7,5] => 1100011 => [2,3,2] => 153
[3,2,1,4,7,6,8,5] => 1100101 => [2,2,1,1,1] => 582
[3,2,1,4,6,7,8,5] => 1100001 => [2,4,1] => 85
[2,3,1,4,8,7,6,5] => 0100111 => [1,1,2,3] => 265
[2,3,1,4,7,8,6,5] => 0100011 => [1,1,3,2] => 265
[2,3,1,4,7,6,8,5] => 0100101 => [1,1,2,1,1,1] => 984
[2,3,1,4,6,7,8,5] => 0100001 => [1,1,4,1] => 148
[1,3,2,4,8,7,6,5] => 0100111 => [1,1,2,3] => 265
[1,3,2,4,6,8,7,5] => 0100011 => [1,1,3,2] => 265
[1,3,2,4,7,6,8,5] => 0100101 => [1,1,2,1,1,1] => 984
[1,3,2,4,6,7,8,5] => 0100001 => [1,1,4,1] => 148
[2,1,3,4,8,7,6,5] => 1000111 => [1,3,3] => 110
[2,1,3,4,7,8,6,5] => 1000011 => [1,4,2] => 85
[2,1,3,4,7,6,8,5] => 1000101 => [1,3,1,1,1] => 427
[2,1,3,4,6,7,8,5] => 1000001 => [1,5,1] => 37
[1,2,3,4,8,7,6,5] => 0000111 => [4,3] => 35
[1,2,3,4,7,8,6,5] => 0000011 => [5,2] => 21
[1,2,3,4,6,8,7,5] => 0000011 => [5,2] => 21
[1,2,3,4,7,6,8,5] => 0000101 => [4,1,1,1] => 145
[1,2,3,4,6,7,8,5] => 0000001 => [6,1] => 7
[5,4,3,2,1,8,7,6] => 1111011 => [4,1,2] => 85
[5,4,3,2,1,7,8,6] => 1111001 => [4,2,1] => 85
[4,5,3,2,1,8,7,6] => 0111011 => [1,3,1,2] => 259
[3,5,4,2,1,8,7,6] => 0111011 => [1,3,1,2] => 259
[3,5,4,2,1,7,8,6] => 0111001 => [1,3,2,1] => 259
[4,3,5,2,1,8,7,6] => 1011011 => [1,1,2,1,2] => 611
[3,4,5,2,1,8,7,6] => 0011011 => [2,2,1,2] => 357
[3,4,5,2,1,7,8,6] => 0011001 => [2,2,2,1] => 357
[2,5,4,3,1,8,7,6] => 0111011 => [1,3,1,2] => 259
[2,5,4,3,1,7,8,6] => 0111001 => [1,3,2,1] => 259
[2,4,5,3,1,8,7,6] => 0011011 => [2,2,1,2] => 357
[2,4,5,3,1,7,8,6] => 0011001 => [2,2,2,1] => 357
[3,2,5,4,1,8,7,6] => 1011011 => [1,1,2,1,2] => 611
[3,2,5,4,1,7,8,6] => 1011001 => [1,1,2,2,1] => 611
[2,3,5,4,1,8,7,6] => 0011011 => [2,2,1,2] => 357
[4,3,2,5,1,8,7,6] => 1101011 => [2,1,1,1,2] => 603
[4,3,2,5,1,7,8,6] => 1101001 => [2,1,1,2,1] => 603
[3,4,2,5,1,8,7,6] => 0101011 => [1,1,1,1,1,2] => 1023
[3,4,2,5,1,7,8,6] => 0101001 => [1,1,1,1,2,1] => 1023
[2,4,3,5,1,8,7,6] => 0101011 => [1,1,1,1,1,2] => 1023
[2,4,3,5,1,7,8,6] => 0101001 => [1,1,1,1,2,1] => 1023
[3,2,4,5,1,8,7,6] => 1001011 => [1,2,1,1,2] => 603
[2,3,4,5,1,8,7,6] => 0001011 => [3,1,1,2] => 259
[2,3,4,5,1,7,8,6] => 0001001 => [3,1,2,1] => 259
[1,5,4,3,2,8,7,6] => 0111011 => [1,3,1,2] => 259
[1,5,4,3,2,7,8,6] => 0111001 => [1,3,2,1] => 259
[1,4,5,3,2,8,7,6] => 0011011 => [2,2,1,2] => 357
[1,4,5,3,2,7,8,6] => 0011001 => [2,2,2,1] => 357
[1,3,5,4,2,7,8,6] => 0011001 => [2,2,2,1] => 357
[1,4,3,5,2,8,7,6] => 0101011 => [1,1,1,1,1,2] => 1023
[1,4,3,5,2,7,8,6] => 0101001 => [1,1,1,1,2,1] => 1023
[1,3,4,5,2,8,7,6] => 0001011 => [3,1,1,2] => 259
[1,3,4,5,2,7,8,6] => 0001001 => [3,1,2,1] => 259
[2,1,5,4,3,8,7,6] => 1011011 => [1,1,2,1,2] => 611
[2,1,4,5,3,8,7,6] => 1001011 => [1,2,1,1,2] => 603
[1,2,5,4,3,8,7,6] => 0011011 => [2,2,1,2] => 357
[1,2,5,4,3,7,8,6] => 0011001 => [2,2,2,1] => 357
[1,2,4,5,3,8,7,6] => 0001011 => [3,1,1,2] => 259
[1,2,4,5,3,7,8,6] => 0001001 => [3,1,2,1] => 259
[1,3,2,5,4,8,7,6] => 0101011 => [1,1,1,1,1,2] => 1023
[1,3,2,5,4,7,8,6] => 0101001 => [1,1,1,1,2,1] => 1023
[2,1,3,5,4,8,7,6] => 1001011 => [1,2,1,1,2] => 603
[2,1,3,5,4,7,8,6] => 1001001 => [1,2,1,2,1] => 603
[1,2,3,5,4,8,7,6] => 0001011 => [3,1,1,2] => 259
[1,2,3,5,4,7,8,6] => 0001001 => [3,1,2,1] => 259
[4,3,2,1,5,8,7,6] => 1110011 => [3,2,2] => 153
[4,3,2,1,5,7,8,6] => 1110001 => [3,3,1] => 110
[2,4,3,1,5,8,7,6] => 0110011 => [1,2,2,2] => 363
[3,2,4,1,5,8,7,6] => 1010011 => [1,1,1,2,2] => 622
[3,2,4,1,5,7,8,6] => 1010001 => [1,1,1,3,1] => 450
[2,3,4,1,5,8,7,6] => 0010011 => [2,1,2,2] => 363
[2,3,4,1,5,7,8,6] => 0010001 => [2,1,3,1] => 262
[1,4,3,2,5,8,7,6] => 0110011 => [1,2,2,2] => 363
[1,4,3,2,5,7,8,6] => 0110001 => [1,2,3,1] => 262
[1,3,4,2,5,8,7,6] => 0010011 => [2,1,2,2] => 363
[1,3,4,2,5,7,8,6] => 0010001 => [2,1,3,1] => 262
[2,1,4,3,5,8,7,6] => 1010011 => [1,1,1,2,2] => 622
[2,1,4,3,5,7,8,6] => 1010001 => [1,1,1,3,1] => 450
[1,2,4,3,5,8,7,6] => 0010011 => [2,1,2,2] => 363
[1,2,4,3,5,7,8,6] => 0010001 => [2,1,3,1] => 262
[3,2,1,4,5,8,7,6] => 1100011 => [2,3,2] => 153
[3,2,1,4,5,7,8,6] => 1100001 => [2,4,1] => 85
[2,3,1,4,5,7,8,6] => 0100001 => [1,1,4,1] => 148
[1,3,2,4,5,8,7,6] => 0100011 => [1,1,3,2] => 265
[1,3,2,4,5,7,8,6] => 0100001 => [1,1,4,1] => 148
[2,1,3,4,5,8,7,6] => 1000011 => [1,4,2] => 85
[2,1,3,4,5,7,8,6] => 1000001 => [1,5,1] => 37
[1,2,3,4,5,8,7,6] => 0000011 => [5,2] => 21
[1,2,3,4,5,7,8,6] => 0000001 => [6,1] => 7
[6,5,4,3,2,1,8,7] => 1111101 => [5,1,1] => 37
[5,6,4,3,2,1,8,7] => 0111101 => [1,4,1,1] => 145
[4,6,5,3,2,1,8,7] => 0111101 => [1,4,1,1] => 145
[5,4,6,3,2,1,8,7] => 1011101 => [1,1,3,1,1] => 439
[4,5,6,3,2,1,8,7] => 0011101 => [2,3,1,1] => 256
[3,6,5,4,2,1,8,7] => 0111101 => [1,4,1,1] => 145
[3,5,6,4,2,1,8,7] => 0011101 => [2,3,1,1] => 256
[4,3,6,5,2,1,8,7] => 1011101 => [1,1,3,1,1] => 439
[3,4,6,5,2,1,8,7] => 0011101 => [2,3,1,1] => 256
[5,4,3,6,2,1,8,7] => 1101101 => [2,1,2,1,1] => 594
[4,5,3,6,2,1,8,7] => 0101101 => [1,1,1,2,1,1] => 1006
[4,3,5,6,2,1,8,7] => 1001101 => [1,2,2,1,1] => 594
[3,4,5,6,2,1,8,7] => 0001101 => [3,2,1,1] => 256
[2,6,5,4,3,1,8,7] => 0111101 => [1,4,1,1] => 145
[2,5,6,4,3,1,8,7] => 0011101 => [2,3,1,1] => 256
[2,4,6,5,3,1,8,7] => 0011101 => [2,3,1,1] => 256
[3,2,6,5,4,1,8,7] => 1011101 => [1,1,3,1,1] => 439
[3,2,5,6,4,1,8,7] => 1001101 => [1,2,2,1,1] => 594
[2,3,6,5,4,1,8,7] => 0011101 => [2,3,1,1] => 256
[2,3,5,6,4,1,8,7] => 0001101 => [3,2,1,1] => 256
[4,3,2,6,5,1,8,7] => 1101101 => [2,1,2,1,1] => 594
[3,4,2,6,5,1,8,7] => 0101101 => [1,1,1,2,1,1] => 1006
[2,4,3,6,5,1,8,7] => 0101101 => [1,1,1,2,1,1] => 1006
[5,4,3,2,6,1,8,7] => 1110101 => [3,1,1,1,1] => 427
[4,5,3,2,6,1,8,7] => 0110101 => [1,2,1,1,1,1] => 969
[3,5,4,2,6,1,8,7] => 0110101 => [1,2,1,1,1,1] => 969
[4,3,5,2,6,1,8,7] => 1010101 => [1,1,1,1,1,1,1] => 1623
[3,4,5,2,6,1,8,7] => 0010101 => [2,1,1,1,1,1] => 969
[2,5,4,3,6,1,8,7] => 0110101 => [1,2,1,1,1,1] => 969
[2,4,5,3,6,1,8,7] => 0010101 => [2,1,1,1,1,1] => 969
[3,2,5,4,6,1,8,7] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,3,2,5,6,1,8,7] => 1100101 => [2,2,1,1,1] => 582
[3,4,2,5,6,1,8,7] => 0100101 => [1,1,2,1,1,1] => 984
[2,4,3,5,6,1,8,7] => 0100101 => [1,1,2,1,1,1] => 984
[2,3,4,5,6,1,8,7] => 0000101 => [4,1,1,1] => 145
[1,6,5,4,3,2,8,7] => 0111101 => [1,4,1,1] => 145
[1,5,6,4,3,2,8,7] => 0011101 => [2,3,1,1] => 256
[1,5,4,6,3,2,8,7] => 0101101 => [1,1,1,2,1,1] => 1006
[1,3,6,5,4,2,8,7] => 0011101 => [2,3,1,1] => 256
[1,3,4,5,6,2,8,7] => 0000101 => [4,1,1,1] => 145
[2,1,6,5,4,3,8,7] => 1011101 => [1,1,3,1,1] => 439
[2,1,5,6,4,3,8,7] => 1001101 => [1,2,2,1,1] => 594
[2,1,4,6,5,3,8,7] => 1001101 => [1,2,2,1,1] => 594
[2,1,5,4,6,3,8,7] => 1010101 => [1,1,1,1,1,1,1] => 1623
[2,1,4,5,6,3,8,7] => 1000101 => [1,3,1,1,1] => 427
[1,2,4,5,6,3,8,7] => 0000101 => [4,1,1,1] => 145
[3,2,1,6,5,4,8,7] => 1101101 => [2,1,2,1,1] => 594
[2,3,1,6,5,4,8,7] => 0101101 => [1,1,1,2,1,1] => 1006
[1,3,2,6,5,4,8,7] => 0101101 => [1,1,1,2,1,1] => 1006
[1,3,2,5,6,4,8,7] => 0100101 => [1,1,2,1,1,1] => 984
[2,1,3,5,6,4,8,7] => 1000101 => [1,3,1,1,1] => 427
[1,2,3,6,5,4,8,7] => 0001101 => [3,2,1,1] => 256
[1,2,3,5,6,4,8,7] => 0000101 => [4,1,1,1] => 145
[4,3,2,1,6,5,8,7] => 1110101 => [3,1,1,1,1] => 427
[3,4,2,1,6,5,8,7] => 0110101 => [1,2,1,1,1,1] => 969
[2,4,3,1,6,5,8,7] => 0110101 => [1,2,1,1,1,1] => 969
[3,2,4,1,6,5,8,7] => 1010101 => [1,1,1,1,1,1,1] => 1623
[2,3,4,1,6,5,8,7] => 0010101 => [2,1,1,1,1,1] => 969
[1,3,4,2,6,5,8,7] => 0010101 => [2,1,1,1,1,1] => 969
[2,1,4,3,6,5,8,7] => 1010101 => [1,1,1,1,1,1,1] => 1623
[1,2,4,3,6,5,8,7] => 0010101 => [2,1,1,1,1,1] => 969
[2,3,1,4,6,5,8,7] => 0100101 => [1,1,2,1,1,1] => 984
[1,3,2,4,6,5,8,7] => 0100101 => [1,1,2,1,1,1] => 984
[2,1,3,4,6,5,8,7] => 1000101 => [1,3,1,1,1] => 427
[1,2,3,4,6,5,8,7] => 0000101 => [4,1,1,1] => 145
[5,4,3,2,1,6,8,7] => 1111001 => [4,2,1] => 85
[4,5,3,2,1,6,8,7] => 0111001 => [1,3,2,1] => 259
[3,5,4,2,1,6,8,7] => 0111001 => [1,3,2,1] => 259
[4,3,5,2,1,6,8,7] => 1011001 => [1,1,2,2,1] => 611
[3,4,5,2,1,6,8,7] => 0011001 => [2,2,2,1] => 357
[2,5,4,3,1,6,8,7] => 0111001 => [1,3,2,1] => 259
[2,4,5,3,1,6,8,7] => 0011001 => [2,2,2,1] => 357
[3,2,5,4,1,6,8,7] => 1011001 => [1,1,2,2,1] => 611
[2,3,5,4,1,6,8,7] => 0011001 => [2,2,2,1] => 357
[2,4,3,5,1,6,8,7] => 0101001 => [1,1,1,1,2,1] => 1023
[2,3,4,5,1,6,8,7] => 0001001 => [3,1,2,1] => 259
[1,4,5,3,2,6,8,7] => 0011001 => [2,2,2,1] => 357
[1,3,5,4,2,6,8,7] => 0011001 => [2,2,2,1] => 357
[1,3,4,5,2,6,8,7] => 0001001 => [3,1,2,1] => 259
[2,1,4,5,3,6,8,7] => 1001001 => [1,2,1,2,1] => 603
[1,2,5,4,3,6,8,7] => 0011001 => [2,2,2,1] => 357
[2,1,3,5,4,6,8,7] => 1001001 => [1,2,1,2,1] => 603
[1,2,3,5,4,6,8,7] => 0001001 => [3,1,2,1] => 259
[4,3,2,1,5,6,8,7] => 1110001 => [3,3,1] => 110
[3,2,4,1,5,6,8,7] => 1010001 => [1,1,1,3,1] => 450
[2,3,4,1,5,6,8,7] => 0010001 => [2,1,3,1] => 262
[1,4,3,2,5,6,8,7] => 0110001 => [1,2,3,1] => 262
[1,3,4,2,5,6,8,7] => 0010001 => [2,1,3,1] => 262
[2,1,4,3,5,6,8,7] => 1010001 => [1,1,1,3,1] => 450
[1,2,4,3,5,6,8,7] => 0010001 => [2,1,3,1] => 262
[3,2,1,4,5,6,8,7] => 1100001 => [2,4,1] => 85
[2,3,1,4,5,6,8,7] => 0100001 => [1,1,4,1] => 148
[1,3,2,4,5,6,8,7] => 0100001 => [1,1,4,1] => 148
[2,1,3,4,5,6,8,7] => 1000001 => [1,5,1] => 37
[1,2,3,4,5,6,8,7] => 0000001 => [6,1] => 7
[5,7,6,4,3,2,1,8] => 0111110 => [1,5,1] => 37
[4,7,6,5,3,2,1,8] => 0111110 => [1,5,1] => 37
[4,6,7,5,3,2,1,8] => 0011110 => [2,4,1] => 85
[5,4,7,6,3,2,1,8] => 1011110 => [1,1,4,1] => 148
[4,5,7,6,3,2,1,8] => 0011110 => [2,4,1] => 85
[4,6,5,7,3,2,1,8] => 0101110 => [1,1,1,3,1] => 450
[3,5,7,6,4,2,1,8] => 0011110 => [2,4,1] => 85
[3,5,6,7,4,2,1,8] => 0001110 => [3,3,1] => 110
[4,3,7,6,5,2,1,8] => 1011110 => [1,1,4,1] => 148
[3,4,7,6,5,2,1,8] => 0011110 => [2,4,1] => 85
[5,4,3,7,6,2,1,8] => 1101110 => [2,1,3,1] => 262
[4,5,3,7,6,2,1,8] => 0101110 => [1,1,1,3,1] => 450
[3,5,4,7,6,2,1,8] => 0101110 => [1,1,1,3,1] => 450
[4,3,5,7,6,2,1,8] => 1001110 => [1,2,3,1] => 262
[3,6,5,4,7,2,1,8] => 0110110 => [1,2,1,2,1] => 603
[3,5,6,4,7,2,1,8] => 0010110 => [2,1,1,2,1] => 603
[4,3,6,5,7,2,1,8] => 1010110 => [1,1,1,1,2,1] => 1023
[2,7,6,5,4,3,1,8] => 0111110 => [1,5,1] => 37
[2,6,7,5,4,3,1,8] => 0011110 => [2,4,1] => 85
[2,5,7,6,4,3,1,8] => 0011110 => [2,4,1] => 85
[2,5,6,7,4,3,1,8] => 0001110 => [3,3,1] => 110
[2,4,6,7,5,3,1,8] => 0001110 => [3,3,1] => 110
[2,5,4,7,6,3,1,8] => 0101110 => [1,1,1,3,1] => 450
[2,5,6,4,7,3,1,8] => 0010110 => [2,1,1,2,1] => 603
[2,5,4,6,7,3,1,8] => 0100110 => [1,1,2,2,1] => 611
[2,4,5,6,7,3,1,8] => 0000110 => [4,2,1] => 85
[3,2,7,6,5,4,1,8] => 1011110 => [1,1,4,1] => 148
[3,2,6,7,5,4,1,8] => 1001110 => [1,2,3,1] => 262
[3,2,5,7,6,4,1,8] => 1001110 => [1,2,3,1] => 262
[3,2,6,5,7,4,1,8] => 1010110 => [1,1,1,1,2,1] => 1023
[3,2,5,6,7,4,1,8] => 1000110 => [1,3,2,1] => 259
[2,3,7,6,5,4,1,8] => 0011110 => [2,4,1] => 85
[2,3,6,7,5,4,1,8] => 0001110 => [3,3,1] => 110
[2,3,5,7,6,4,1,8] => 0001110 => [3,3,1] => 110
[2,3,6,5,7,4,1,8] => 0010110 => [2,1,1,2,1] => 603
[2,3,5,6,7,4,1,8] => 0000110 => [4,2,1] => 85
[4,3,2,6,7,5,1,8] => 1100110 => [2,2,2,1] => 357
[3,4,2,7,6,5,1,8] => 0101110 => [1,1,1,3,1] => 450
[3,4,2,6,7,5,1,8] => 0100110 => [1,1,2,2,1] => 611
[3,2,4,6,7,5,1,8] => 1000110 => [1,3,2,1] => 259
[2,3,4,7,6,5,1,8] => 0001110 => [3,3,1] => 110
[2,3,4,6,7,5,1,8] => 0000110 => [4,2,1] => 85
[5,4,3,2,7,6,1,8] => 1110110 => [3,1,2,1] => 259
[4,5,3,2,7,6,1,8] => 0110110 => [1,2,1,2,1] => 603
[3,5,4,2,7,6,1,8] => 0110110 => [1,2,1,2,1] => 603
[4,3,5,2,7,6,1,8] => 1010110 => [1,1,1,1,2,1] => 1023
[3,4,5,2,7,6,1,8] => 0010110 => [2,1,1,2,1] => 603
[3,2,5,4,7,6,1,8] => 1010110 => [1,1,1,1,2,1] => 1023
[4,3,2,5,7,6,1,8] => 1100110 => [2,2,2,1] => 357
[3,4,2,5,7,6,1,8] => 0100110 => [1,1,2,2,1] => 611
[2,3,4,5,7,6,1,8] => 0000110 => [4,2,1] => 85
[3,6,5,4,2,7,1,8] => 0111010 => [1,3,1,1,1] => 427
[3,5,6,4,2,7,1,8] => 0011010 => [2,2,1,1,1] => 582
[3,4,6,5,2,7,1,8] => 0011010 => [2,2,1,1,1] => 582
[3,5,4,6,2,7,1,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,5,4,6,3,7,1,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,2,6,5,4,7,1,8] => 1011010 => [1,1,2,1,1,1] => 984
[2,3,5,6,4,7,1,8] => 0001010 => [3,1,1,1,1] => 427
[4,3,2,6,5,7,1,8] => 1101010 => [2,1,1,1,1,1] => 969
[3,4,2,6,5,7,1,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,4,3,6,5,7,1,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,3,4,6,5,7,1,8] => 0001010 => [3,1,1,1,1] => 427
[3,5,4,2,6,7,1,8] => 0110010 => [1,2,2,1,1] => 594
[2,5,4,3,6,7,1,8] => 0110010 => [1,2,2,1,1] => 594
[2,4,5,3,6,7,1,8] => 0010010 => [2,1,2,1,1] => 594
[2,3,5,4,6,7,1,8] => 0010010 => [2,1,2,1,1] => 594
[1,7,6,5,4,3,2,8] => 0111110 => [1,5,1] => 37
[1,6,7,5,4,3,2,8] => 0011110 => [2,4,1] => 85
[1,6,5,7,4,3,2,8] => 0101110 => [1,1,1,3,1] => 450
[1,5,6,7,4,3,2,8] => 0001110 => [3,3,1] => 110
[1,4,7,6,5,3,2,8] => 0011110 => [2,4,1] => 85
[1,4,6,7,5,3,2,8] => 0001110 => [3,3,1] => 110
[1,5,4,7,6,3,2,8] => 0101110 => [1,1,1,3,1] => 450
[1,5,6,4,7,3,2,8] => 0010110 => [2,1,1,2,1] => 603
[1,4,6,5,7,3,2,8] => 0010110 => [2,1,1,2,1] => 603
[1,5,4,6,7,3,2,8] => 0100110 => [1,1,2,2,1] => 611
[1,4,5,6,7,3,2,8] => 0000110 => [4,2,1] => 85
[1,3,7,6,5,4,2,8] => 0011110 => [2,4,1] => 85
[1,3,6,7,5,4,2,8] => 0001110 => [3,3,1] => 110
[1,3,5,7,6,4,2,8] => 0001110 => [3,3,1] => 110
[1,3,6,5,7,4,2,8] => 0010110 => [2,1,1,2,1] => 603
[1,3,5,6,7,4,2,8] => 0000110 => [4,2,1] => 85
[1,3,4,6,7,5,2,8] => 0000110 => [4,2,1] => 85
[1,3,5,4,7,6,2,8] => 0010110 => [2,1,1,2,1] => 603
[1,4,3,5,7,6,2,8] => 0100110 => [1,1,2,2,1] => 611
[1,3,4,5,7,6,2,8] => 0000110 => [4,2,1] => 85
[1,5,4,6,3,7,2,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,4,5,6,3,7,2,8] => 0001010 => [3,1,1,1,1] => 427
[1,3,6,5,4,7,2,8] => 0011010 => [2,2,1,1,1] => 582
[1,3,5,6,4,7,2,8] => 0001010 => [3,1,1,1,1] => 427
[1,4,3,6,5,7,2,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,3,4,6,5,7,2,8] => 0001010 => [3,1,1,1,1] => 427
[1,5,4,3,6,7,2,8] => 0110010 => [1,2,2,1,1] => 594
[1,4,5,3,6,7,2,8] => 0010010 => [2,1,2,1,1] => 594
[1,3,5,4,6,7,2,8] => 0010010 => [2,1,2,1,1] => 594
[1,3,4,5,6,7,2,8] => 0000010 => [5,1,1] => 37
[2,1,7,6,5,4,3,8] => 1011110 => [1,1,4,1] => 148
[2,1,6,7,5,4,3,8] => 1001110 => [1,2,3,1] => 262
[2,1,5,6,7,4,3,8] => 1000110 => [1,3,2,1] => 259
[2,1,4,6,7,5,3,8] => 1000110 => [1,3,2,1] => 259
[2,1,4,5,6,7,3,8] => 1000010 => [1,4,1,1] => 145
[1,2,7,6,5,4,3,8] => 0011110 => [2,4,1] => 85
[1,2,6,7,5,4,3,8] => 0001110 => [3,3,1] => 110
[1,2,5,7,6,4,3,8] => 0001110 => [3,3,1] => 110
[1,2,5,6,7,4,3,8] => 0000110 => [4,2,1] => 85
[1,2,4,6,7,5,3,8] => 0000110 => [4,2,1] => 85
[1,2,5,6,4,7,3,8] => 0001010 => [3,1,1,1,1] => 427
[1,2,5,4,6,7,3,8] => 0010010 => [2,1,2,1,1] => 594
[1,2,4,5,6,7,3,8] => 0000010 => [5,1,1] => 37
[3,2,1,7,6,5,4,8] => 1101110 => [2,1,3,1] => 262
[3,2,1,6,7,5,4,8] => 1100110 => [2,2,2,1] => 357
[3,2,1,5,7,6,4,8] => 1100110 => [2,2,2,1] => 357
[3,2,1,5,6,7,4,8] => 1100010 => [2,3,1,1] => 256
[2,3,1,6,7,5,4,8] => 0100110 => [1,1,2,2,1] => 611
[2,3,1,6,5,7,4,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,3,1,5,6,7,4,8] => 0100010 => [1,1,3,1,1] => 439
[1,3,2,7,6,5,4,8] => 0101110 => [1,1,1,3,1] => 450
[1,3,2,6,7,5,4,8] => 0100110 => [1,1,2,2,1] => 611
[1,3,2,5,7,6,4,8] => 0100110 => [1,1,2,2,1] => 611
[1,3,2,6,5,7,4,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,3,2,5,6,7,4,8] => 0100010 => [1,1,3,1,1] => 439
[2,1,3,6,7,5,4,8] => 1000110 => [1,3,2,1] => 259
[1,2,3,7,6,5,4,8] => 0001110 => [3,3,1] => 110
[1,2,3,6,7,5,4,8] => 0000110 => [4,2,1] => 85
[1,2,3,5,7,6,4,8] => 0000110 => [4,2,1] => 85
[1,2,3,6,5,7,4,8] => 0001010 => [3,1,1,1,1] => 427
[1,2,3,5,6,7,4,8] => 0000010 => [5,1,1] => 37
[4,3,2,1,7,6,5,8] => 1110110 => [3,1,2,1] => 259
[4,3,2,1,6,7,5,8] => 1110010 => [3,2,1,1] => 256
[3,2,4,1,7,6,5,8] => 1010110 => [1,1,1,1,2,1] => 1023
[3,2,4,1,6,7,5,8] => 1010010 => [1,1,1,2,1,1] => 1006
[2,3,4,1,7,6,5,8] => 0010110 => [2,1,1,2,1] => 603
[2,3,4,1,6,7,5,8] => 0010010 => [2,1,2,1,1] => 594
[1,4,3,2,7,6,5,8] => 0110110 => [1,2,1,2,1] => 603
[1,4,3,2,6,7,5,8] => 0110010 => [1,2,2,1,1] => 594
[1,3,4,2,6,7,5,8] => 0010010 => [2,1,2,1,1] => 594
[1,2,4,3,6,7,5,8] => 0010010 => [2,1,2,1,1] => 594
[3,2,1,4,7,6,5,8] => 1100110 => [2,2,2,1] => 357
[2,3,1,4,6,7,5,8] => 0100010 => [1,1,3,1,1] => 439
[1,3,2,4,7,6,5,8] => 0100110 => [1,1,2,2,1] => 611
[2,1,3,4,6,7,5,8] => 1000010 => [1,4,1,1] => 145
[1,2,3,4,7,6,5,8] => 0000110 => [4,2,1] => 85
[1,2,3,4,6,7,5,8] => 0000010 => [5,1,1] => 37
[5,4,3,2,1,7,6,8] => 1111010 => [4,1,1,1] => 145
[4,5,3,2,1,7,6,8] => 0111010 => [1,3,1,1,1] => 427
[3,5,4,2,1,7,6,8] => 0111010 => [1,3,1,1,1] => 427
[3,4,5,2,1,7,6,8] => 0011010 => [2,2,1,1,1] => 582
[2,5,4,3,1,7,6,8] => 0111010 => [1,3,1,1,1] => 427
[2,4,5,3,1,7,6,8] => 0011010 => [2,2,1,1,1] => 582
[3,2,5,4,1,7,6,8] => 1011010 => [1,1,2,1,1,1] => 984
[2,3,5,4,1,7,6,8] => 0011010 => [2,2,1,1,1] => 582
[3,4,2,5,1,7,6,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,4,3,5,1,7,6,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,3,4,5,1,7,6,8] => 0001010 => [3,1,1,1,1] => 427
[1,5,4,3,2,7,6,8] => 0111010 => [1,3,1,1,1] => 427
[1,4,5,3,2,7,6,8] => 0011010 => [2,2,1,1,1] => 582
[1,3,5,4,2,7,6,8] => 0011010 => [2,2,1,1,1] => 582
[1,4,3,5,2,7,6,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,3,4,5,2,7,6,8] => 0001010 => [3,1,1,1,1] => 427
[2,1,5,4,3,7,6,8] => 1011010 => [1,1,2,1,1,1] => 984
[1,2,4,5,3,7,6,8] => 0001010 => [3,1,1,1,1] => 427
[3,2,1,5,4,7,6,8] => 1101010 => [2,1,1,1,1,1] => 969
[2,3,1,5,4,7,6,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,3,2,5,4,7,6,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,2,3,5,4,7,6,8] => 0001010 => [3,1,1,1,1] => 427
[4,3,2,1,5,7,6,8] => 1110010 => [3,2,1,1] => 256
[3,2,4,1,5,7,6,8] => 1010010 => [1,1,1,2,1,1] => 1006
[2,3,4,1,5,7,6,8] => 0010010 => [2,1,2,1,1] => 594
[1,4,3,2,5,7,6,8] => 0110010 => [1,2,2,1,1] => 594
[1,3,4,2,5,7,6,8] => 0010010 => [2,1,2,1,1] => 594
[1,2,4,3,5,7,6,8] => 0010010 => [2,1,2,1,1] => 594
[2,3,1,4,5,7,6,8] => 0100010 => [1,1,3,1,1] => 439
[1,3,2,4,5,7,6,8] => 0100010 => [1,1,3,1,1] => 439
[2,1,3,4,5,7,6,8] => 1000010 => [1,4,1,1] => 145
[1,2,3,4,5,7,6,8] => 0000010 => [5,1,1] => 37
[3,6,5,4,2,1,7,8] => 0111100 => [1,4,2] => 85
[4,3,6,5,2,1,7,8] => 1011100 => [1,1,3,2] => 265
[2,4,6,5,3,1,7,8] => 0011100 => [2,3,2] => 153
[2,4,5,6,3,1,7,8] => 0001100 => [3,2,2] => 153
[2,3,6,5,4,1,7,8] => 0011100 => [2,3,2] => 153
[2,3,5,6,4,1,7,8] => 0001100 => [3,2,2] => 153
[4,3,2,6,5,1,7,8] => 1101100 => [2,1,2,2] => 363
[2,4,3,6,5,1,7,8] => 0101100 => [1,1,1,2,2] => 622
[2,3,4,6,5,1,7,8] => 0001100 => [3,2,2] => 153
[3,5,4,2,6,1,7,8] => 0110100 => [1,2,1,1,2] => 603
[2,3,5,4,6,1,7,8] => 0010100 => [2,1,1,1,2] => 603
[1,6,5,4,3,2,7,8] => 0111100 => [1,4,2] => 85
[1,5,6,4,3,2,7,8] => 0011100 => [2,3,2] => 153
[1,4,6,5,3,2,7,8] => 0011100 => [2,3,2] => 153
[1,5,4,6,3,2,7,8] => 0101100 => [1,1,1,2,2] => 622
[1,4,5,6,3,2,7,8] => 0001100 => [3,2,2] => 153
[1,3,5,6,4,2,7,8] => 0001100 => [3,2,2] => 153
[1,4,3,6,5,2,7,8] => 0101100 => [1,1,1,2,2] => 622
[1,5,4,3,6,2,7,8] => 0110100 => [1,2,1,1,2] => 603
[1,4,5,3,6,2,7,8] => 0010100 => [2,1,1,1,2] => 603
[1,3,5,4,6,2,7,8] => 0010100 => [2,1,1,1,2] => 603
[1,4,3,5,6,2,7,8] => 0100100 => [1,1,2,1,2] => 611
[1,3,4,5,6,2,7,8] => 0000100 => [4,1,2] => 85
[2,1,5,6,4,3,7,8] => 1001100 => [1,2,2,2] => 363
[2,1,4,6,5,3,7,8] => 1001100 => [1,2,2,2] => 363
[1,2,6,5,4,3,7,8] => 0011100 => [2,3,2] => 153
[1,2,5,6,4,3,7,8] => 0001100 => [3,2,2] => 153
[1,2,4,6,5,3,7,8] => 0001100 => [3,2,2] => 153
[1,2,4,5,6,3,7,8] => 0000100 => [4,1,2] => 85
[3,2,1,6,5,4,7,8] => 1101100 => [2,1,2,2] => 363
[3,2,1,5,6,4,7,8] => 1100100 => [2,2,1,2] => 357
[2,3,1,6,5,4,7,8] => 0101100 => [1,1,1,2,2] => 622
[2,3,1,5,6,4,7,8] => 0100100 => [1,1,2,1,2] => 611
[1,3,2,6,5,4,7,8] => 0101100 => [1,1,1,2,2] => 622
[1,3,2,5,6,4,7,8] => 0100100 => [1,1,2,1,2] => 611
[1,2,3,6,5,4,7,8] => 0001100 => [3,2,2] => 153
[1,2,3,5,6,4,7,8] => 0000100 => [4,1,2] => 85
[4,3,2,1,6,5,7,8] => 1110100 => [3,1,1,2] => 259
[2,4,3,1,6,5,7,8] => 0110100 => [1,2,1,1,2] => 603
[3,2,4,1,6,5,7,8] => 1010100 => [1,1,1,1,1,2] => 1023
[2,3,4,1,6,5,7,8] => 0010100 => [2,1,1,1,2] => 603
[2,1,4,3,6,5,7,8] => 1010100 => [1,1,1,1,1,2] => 1023
[1,2,4,3,6,5,7,8] => 0010100 => [2,1,1,1,2] => 603
[1,3,2,4,6,5,7,8] => 0100100 => [1,1,2,1,2] => 611
[2,1,3,4,6,5,7,8] => 1000100 => [1,3,1,2] => 259
[1,2,3,4,6,5,7,8] => 0000100 => [4,1,2] => 85
[3,5,4,2,1,6,7,8] => 0111000 => [1,3,3] => 110
[2,5,4,3,1,6,7,8] => 0111000 => [1,3,3] => 110
[2,4,5,3,1,6,7,8] => 0011000 => [2,2,3] => 153
[3,2,5,4,1,6,7,8] => 1011000 => [1,1,2,3] => 265
[2,3,5,4,1,6,7,8] => 0011000 => [2,2,3] => 153
[2,4,3,5,1,6,7,8] => 0101000 => [1,1,1,1,3] => 450
[1,5,4,3,2,6,7,8] => 0111000 => [1,3,3] => 110
[1,4,5,3,2,6,7,8] => 0011000 => [2,2,3] => 153
[1,3,5,4,2,6,7,8] => 0011000 => [2,2,3] => 153
[1,3,4,5,2,6,7,8] => 0001000 => [3,1,3] => 110
[2,1,5,4,3,6,7,8] => 1011000 => [1,1,2,3] => 265
[2,1,4,5,3,6,7,8] => 1001000 => [1,2,1,3] => 262
[1,2,5,4,3,6,7,8] => 0011000 => [2,2,3] => 153
[3,2,1,5,4,6,7,8] => 1101000 => [2,1,1,3] => 262
[2,3,1,5,4,6,7,8] => 0101000 => [1,1,1,1,3] => 450
[1,3,2,5,4,6,7,8] => 0101000 => [1,1,1,1,3] => 450
[1,2,3,5,4,6,7,8] => 0001000 => [3,1,3] => 110
[2,4,3,1,5,6,7,8] => 0110000 => [1,2,4] => 85
[1,4,3,2,5,6,7,8] => 0110000 => [1,2,4] => 85
[1,3,4,2,5,6,7,8] => 0010000 => [2,1,4] => 85
[2,1,4,3,5,6,7,8] => 1010000 => [1,1,1,4] => 148
[1,2,4,3,5,6,7,8] => 0010000 => [2,1,4] => 85
[1,3,2,4,5,6,7,8] => 0100000 => [1,1,5] => 37
[1,2,3,4,8,6,7,5] => 0000101 => [4,1,1,1] => 145
[1,2,3,5,8,6,7,4] => 0000101 => [4,1,1,1] => 145
[1,2,3,7,5,6,4,8] => 0001010 => [3,1,1,1,1] => 427
[1,2,3,7,5,6,8,4] => 0001001 => [3,1,2,1] => 259
[1,2,3,8,5,6,7,4] => 0001001 => [3,1,2,1] => 259
[1,2,3,8,5,7,6,4] => 0001011 => [3,1,1,2] => 259
[1,2,3,8,6,5,7,4] => 0001101 => [3,2,1,1] => 256
[1,2,3,8,6,7,5,4] => 0001011 => [3,1,1,2] => 259
[1,2,4,5,8,6,7,3] => 0000101 => [4,1,1,1] => 145
[1,2,4,7,5,6,8,3] => 0001001 => [3,1,2,1] => 259
[1,2,4,8,5,6,7,3] => 0001001 => [3,1,2,1] => 259
[1,2,4,8,6,5,7,3] => 0001101 => [3,2,1,1] => 256
[1,2,5,4,8,6,7,3] => 0010101 => [2,1,1,1,1,1] => 969
[1,2,6,4,5,3,7,8] => 0010100 => [2,1,1,1,2] => 603
[1,2,6,4,5,7,8,3] => 0010001 => [2,1,3,1] => 262
[1,2,6,4,5,8,7,3] => 0010011 => [2,1,2,2] => 363
[1,2,7,4,5,6,8,3] => 0010001 => [2,1,3,1] => 262
[1,2,8,4,5,6,7,3] => 0010001 => [2,1,3,1] => 262
[1,2,8,4,6,7,5,3] => 0010011 => [2,1,2,2] => 363
[1,2,8,4,7,6,5,3] => 0010111 => [2,1,1,3] => 262
[1,2,7,5,4,6,3,8] => 0011010 => [2,2,1,1,1] => 582
[1,2,7,5,4,6,8,3] => 0011001 => [2,2,2,1] => 357
[1,2,8,5,4,6,7,3] => 0011001 => [2,2,2,1] => 357
[1,2,8,5,4,7,6,3] => 0011011 => [2,2,1,2] => 357
[1,2,8,5,6,4,7,3] => 0010101 => [2,1,1,1,1,1] => 969
[1,2,8,5,6,7,4,3] => 0010011 => [2,1,2,2] => 363
[1,2,8,6,5,4,7,3] => 0011101 => [2,3,1,1] => 256
[1,2,8,6,5,7,4,3] => 0011011 => [2,2,1,2] => 357
[1,2,8,7,5,6,4,3] => 0011011 => [2,2,1,2] => 357
[1,3,2,4,8,6,7,5] => 0100101 => [1,1,2,1,1,1] => 984
[1,3,2,7,5,6,8,4] => 0101001 => [1,1,1,1,2,1] => 1023
[1,3,2,8,5,7,6,4] => 0101011 => [1,1,1,1,1,2] => 1023
[1,3,2,8,6,5,7,4] => 0101101 => [1,1,1,2,1,1] => 1006
[1,3,2,8,6,7,5,4] => 0101011 => [1,1,1,1,1,2] => 1023
[1,3,4,2,8,6,7,5] => 0010101 => [2,1,1,1,1,1] => 969
[1,3,4,5,8,6,7,2] => 0000101 => [4,1,1,1] => 145
[1,3,4,8,5,6,7,2] => 0001001 => [3,1,2,1] => 259
[1,3,4,8,6,5,7,2] => 0001101 => [3,2,1,1] => 256
[1,3,4,8,6,7,5,2] => 0001011 => [3,1,1,2] => 259
[1,3,6,4,5,2,8,7] => 0010101 => [2,1,1,1,1,1] => 969
[1,3,6,4,5,7,2,8] => 0010010 => [2,1,2,1,1] => 594
[1,3,6,4,5,7,8,2] => 0010001 => [2,1,3,1] => 262
[1,3,6,4,5,8,7,2] => 0010011 => [2,1,2,2] => 363
[1,3,7,4,5,6,2,8] => 0010010 => [2,1,2,1,1] => 594
[1,3,7,4,5,6,8,2] => 0010001 => [2,1,3,1] => 262
[1,3,8,4,5,6,7,2] => 0010001 => [2,1,3,1] => 262
[1,3,8,4,6,5,7,2] => 0010101 => [2,1,1,1,1,1] => 969
[1,3,8,5,4,6,7,2] => 0011001 => [2,2,2,1] => 357
[1,3,8,5,4,7,6,2] => 0011011 => [2,2,1,2] => 357
[1,3,8,5,6,7,4,2] => 0010011 => [2,1,2,2] => 363
[1,3,8,5,7,6,4,2] => 0010111 => [2,1,1,3] => 262
[1,3,8,6,5,7,4,2] => 0011011 => [2,2,1,2] => 357
[1,3,8,7,5,6,4,2] => 0011011 => [2,2,1,2] => 357
[1,4,3,5,8,6,7,2] => 0100101 => [1,1,2,1,1,1] => 984
[1,4,3,8,5,6,7,2] => 0101001 => [1,1,1,1,2,1] => 1023
[1,4,3,8,5,7,6,2] => 0101011 => [1,1,1,1,1,2] => 1023
[1,4,3,8,6,5,7,2] => 0101101 => [1,1,1,2,1,1] => 1006
[1,4,3,8,6,7,5,2] => 0101011 => [1,1,1,1,1,2] => 1023
[1,5,3,4,2,6,7,8] => 0101000 => [1,1,1,1,3] => 450
[1,5,3,4,2,7,8,6] => 0101001 => [1,1,1,1,2,1] => 1023
[1,5,3,4,2,8,7,6] => 0101011 => [1,1,1,1,1,2] => 1023
[1,5,3,4,6,2,7,8] => 0100100 => [1,1,2,1,2] => 611
[1,5,3,4,6,2,8,7] => 0100101 => [1,1,2,1,1,1] => 984
[1,5,3,4,6,7,2,8] => 0100010 => [1,1,3,1,1] => 439
[1,5,3,4,6,7,8,2] => 0100001 => [1,1,4,1] => 148
[1,5,3,4,7,6,2,8] => 0100110 => [1,1,2,2,1] => 611
[1,5,3,4,8,6,7,2] => 0100101 => [1,1,2,1,1,1] => 984
[1,6,3,4,5,2,7,8] => 0100100 => [1,1,2,1,2] => 611
[1,6,3,4,5,8,7,2] => 0100011 => [1,1,3,2] => 265
[1,7,3,4,5,6,2,8] => 0100010 => [1,1,3,1,1] => 439
[1,7,3,4,5,6,8,2] => 0100001 => [1,1,4,1] => 148
[1,8,3,4,5,6,7,2] => 0100001 => [1,1,4,1] => 148
[1,8,3,4,6,7,5,2] => 0100011 => [1,1,3,2] => 265
[1,6,3,5,4,2,7,8] => 0101100 => [1,1,1,2,2] => 622
[1,6,3,5,4,8,7,2] => 0101011 => [1,1,1,1,1,2] => 1023
[1,7,3,5,4,6,2,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,8,3,5,4,6,7,2] => 0101001 => [1,1,1,1,2,1] => 1023
[1,8,3,5,4,7,6,2] => 0101011 => [1,1,1,1,1,2] => 1023
[1,8,3,5,6,4,7,2] => 0100101 => [1,1,2,1,1,1] => 984
[1,8,3,5,6,7,4,2] => 0100011 => [1,1,3,2] => 265
[1,8,3,5,7,6,4,2] => 0100111 => [1,1,2,3] => 265
[1,7,3,6,5,4,2,8] => 0101110 => [1,1,1,3,1] => 450
[1,7,3,6,5,4,8,2] => 0101101 => [1,1,1,2,1,1] => 1006
[1,8,3,6,5,4,7,2] => 0101101 => [1,1,1,2,1,1] => 1006
[1,8,3,7,5,6,4,2] => 0101011 => [1,1,1,1,1,2] => 1023
[1,8,3,7,6,5,4,2] => 0101111 => [1,1,1,4] => 148
[1,6,4,3,5,2,7,8] => 0110100 => [1,2,1,1,2] => 603
[1,6,4,3,5,8,7,2] => 0110011 => [1,2,2,2] => 363
[1,8,4,3,5,6,7,2] => 0110001 => [1,2,3,1] => 262
[1,8,4,3,5,7,6,2] => 0110011 => [1,2,2,2] => 363
[1,7,4,3,6,5,8,2] => 0110101 => [1,2,1,1,1,1] => 969
[1,8,4,3,6,5,7,2] => 0110101 => [1,2,1,1,1,1] => 969
[1,8,4,3,6,7,5,2] => 0110011 => [1,2,2,2] => 363
[1,6,4,5,3,2,7,8] => 0101100 => [1,1,1,2,2] => 622
[1,6,4,5,3,2,8,7] => 0101101 => [1,1,1,2,1,1] => 1006
[1,6,4,5,3,8,7,2] => 0101011 => [1,1,1,1,1,2] => 1023
[1,7,4,5,3,6,8,2] => 0101001 => [1,1,1,1,2,1] => 1023
[1,8,4,5,3,6,7,2] => 0101001 => [1,1,1,1,2,1] => 1023
[1,7,4,5,6,3,2,8] => 0100110 => [1,1,2,2,1] => 611
[1,7,4,5,6,3,8,2] => 0100101 => [1,1,2,1,1,1] => 984
[1,8,4,5,6,3,7,2] => 0100101 => [1,1,2,1,1,1] => 984
[1,8,4,5,6,7,3,2] => 0100011 => [1,1,3,2] => 265
[1,7,4,6,5,3,2,8] => 0101110 => [1,1,1,3,1] => 450
[1,8,4,6,5,3,7,2] => 0101101 => [1,1,1,2,1,1] => 1006
[1,8,4,6,5,7,3,2] => 0101011 => [1,1,1,1,1,2] => 1023
[1,8,4,7,6,5,3,2] => 0101111 => [1,1,1,4] => 148
[1,7,5,4,3,6,2,8] => 0111010 => [1,3,1,1,1] => 427
[1,7,5,4,3,6,8,2] => 0111001 => [1,3,2,1] => 259
[1,8,5,4,3,6,7,2] => 0111001 => [1,3,2,1] => 259
[1,8,5,4,3,7,6,2] => 0111011 => [1,3,1,2] => 259
[1,8,5,4,6,3,7,2] => 0110101 => [1,2,1,1,1,1] => 969
[1,8,5,4,6,7,3,2] => 0110011 => [1,2,2,2] => 363
[1,8,5,4,7,6,3,2] => 0110111 => [1,2,1,3] => 262
[1,7,6,4,5,3,2,8] => 0110110 => [1,2,1,2,1] => 603
[1,8,6,4,5,3,7,2] => 0110101 => [1,2,1,1,1,1] => 969
[1,8,6,4,5,7,3,2] => 0110011 => [1,2,2,2] => 363
[1,8,7,4,5,6,3,2] => 0110011 => [1,2,2,2] => 363
[1,8,7,4,6,5,3,2] => 0110111 => [1,2,1,3] => 262
[1,8,6,5,4,3,7,2] => 0111101 => [1,4,1,1] => 145
[1,8,6,5,4,7,3,2] => 0111011 => [1,3,1,2] => 259
[1,8,7,5,4,6,3,2] => 0111011 => [1,3,1,2] => 259
[1,8,7,5,6,4,3,2] => 0110111 => [1,2,1,3] => 262
[2,1,3,4,8,6,7,5] => 1000101 => [1,3,1,1,1] => 427
[2,1,3,5,8,6,7,4] => 1000101 => [1,3,1,1,1] => 427
[2,1,3,8,5,6,7,4] => 1001001 => [1,2,1,2,1] => 603
[2,1,3,8,5,7,6,4] => 1001011 => [1,2,1,1,2] => 603
[2,1,3,8,6,5,7,4] => 1001101 => [1,2,2,1,1] => 594
[2,1,3,8,6,7,5,4] => 1001011 => [1,2,1,1,2] => 603
[2,1,4,3,8,6,7,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[2,1,4,5,8,6,7,3] => 1000101 => [1,3,1,1,1] => 427
[2,1,4,8,5,6,7,3] => 1001001 => [1,2,1,2,1] => 603
[2,1,4,8,5,7,6,3] => 1001011 => [1,2,1,1,2] => 603
[2,1,4,8,6,5,7,3] => 1001101 => [1,2,2,1,1] => 594
[2,1,4,8,6,7,5,3] => 1001011 => [1,2,1,1,2] => 603
[2,1,5,4,8,6,7,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[2,1,6,4,5,3,8,7] => 1010101 => [1,1,1,1,1,1,1] => 1623
[2,1,6,4,5,7,8,3] => 1010001 => [1,1,1,3,1] => 450
[2,1,6,4,5,8,7,3] => 1010011 => [1,1,1,2,2] => 622
[2,1,8,4,5,6,7,3] => 1010001 => [1,1,1,3,1] => 450
[2,1,8,4,5,7,6,3] => 1010011 => [1,1,1,2,2] => 622
[2,1,7,4,6,5,8,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[2,1,8,4,6,5,7,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[2,1,8,4,6,7,5,3] => 1010011 => [1,1,1,2,2] => 622
[2,1,8,4,7,6,5,3] => 1010111 => [1,1,1,1,3] => 450
[2,1,7,5,4,6,8,3] => 1011001 => [1,1,2,2,1] => 611
[2,1,8,5,4,6,7,3] => 1011001 => [1,1,2,2,1] => 611
[2,1,8,5,4,7,6,3] => 1011011 => [1,1,2,1,2] => 611
[2,1,7,5,6,4,8,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[2,1,8,5,6,4,7,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[2,1,8,5,6,7,4,3] => 1010011 => [1,1,1,2,2] => 622
[2,1,8,5,7,6,4,3] => 1010111 => [1,1,1,1,3] => 450
[2,1,8,6,5,4,7,3] => 1011101 => [1,1,3,1,1] => 439
[2,1,8,6,5,7,4,3] => 1011011 => [1,1,2,1,2] => 611
[2,1,8,7,5,6,4,3] => 1011011 => [1,1,2,1,2] => 611
[2,3,1,7,5,6,4,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,3,1,8,5,6,7,4] => 0101001 => [1,1,1,1,2,1] => 1023
[2,3,1,8,6,7,5,4] => 0101011 => [1,1,1,1,1,2] => 1023
[2,3,4,1,8,6,7,5] => 0010101 => [2,1,1,1,1,1] => 969
[2,3,4,5,8,6,7,1] => 0000101 => [4,1,1,1] => 145
[2,3,4,7,5,6,1,8] => 0001010 => [3,1,1,1,1] => 427
[2,3,4,7,5,6,8,1] => 0001001 => [3,1,2,1] => 259
[2,3,4,8,5,6,7,1] => 0001001 => [3,1,2,1] => 259
[2,3,4,8,5,7,6,1] => 0001011 => [3,1,1,2] => 259
[2,3,4,8,6,5,7,1] => 0001101 => [3,2,1,1] => 256
[2,3,4,8,6,7,5,1] => 0001011 => [3,1,1,2] => 259
[2,3,5,4,8,6,7,1] => 0010101 => [2,1,1,1,1,1] => 969
[2,3,6,4,5,1,7,8] => 0010100 => [2,1,1,1,2] => 603
[2,3,6,4,5,1,8,7] => 0010101 => [2,1,1,1,1,1] => 969
[2,3,6,4,5,7,8,1] => 0010001 => [2,1,3,1] => 262
[2,3,6,4,5,8,7,1] => 0010011 => [2,1,2,2] => 363
[2,3,7,4,5,6,8,1] => 0010001 => [2,1,3,1] => 262
[2,3,8,4,5,6,7,1] => 0010001 => [2,1,3,1] => 262
[2,3,7,4,6,5,8,1] => 0010101 => [2,1,1,1,1,1] => 969
[2,3,8,4,6,7,5,1] => 0010011 => [2,1,2,2] => 363
[2,3,7,5,4,6,1,8] => 0011010 => [2,2,1,1,1] => 582
[2,3,7,5,4,6,8,1] => 0011001 => [2,2,2,1] => 357
[2,3,8,5,4,6,7,1] => 0011001 => [2,2,2,1] => 357
[2,3,7,5,6,4,1,8] => 0010110 => [2,1,1,2,1] => 603
[2,3,7,5,6,4,8,1] => 0010101 => [2,1,1,1,1,1] => 969
[2,3,8,5,6,4,7,1] => 0010101 => [2,1,1,1,1,1] => 969
[2,3,8,5,6,7,4,1] => 0010011 => [2,1,2,2] => 363
[2,3,8,5,7,6,4,1] => 0010111 => [2,1,1,3] => 262
[2,3,8,6,5,4,7,1] => 0011101 => [2,3,1,1] => 256
[2,4,3,1,8,6,7,5] => 0110101 => [1,2,1,1,1,1] => 969
[2,4,3,5,8,6,7,1] => 0100101 => [1,1,2,1,1,1] => 984
[2,4,3,7,5,6,8,1] => 0101001 => [1,1,1,1,2,1] => 1023
[2,4,3,8,5,6,7,1] => 0101001 => [1,1,1,1,2,1] => 1023
[2,4,3,8,5,7,6,1] => 0101011 => [1,1,1,1,1,2] => 1023
[2,4,3,8,6,5,7,1] => 0101101 => [1,1,1,2,1,1] => 1006
[2,4,3,8,6,7,5,1] => 0101011 => [1,1,1,1,1,2] => 1023
[2,5,3,4,1,6,7,8] => 0101000 => [1,1,1,1,3] => 450
[2,5,3,4,1,8,7,6] => 0101011 => [1,1,1,1,1,2] => 1023
[2,5,3,4,6,7,1,8] => 0100010 => [1,1,3,1,1] => 439
[2,5,3,4,6,7,8,1] => 0100001 => [1,1,4,1] => 148
[2,5,3,4,6,8,7,1] => 0100011 => [1,1,3,2] => 265
[2,5,3,4,7,6,8,1] => 0100101 => [1,1,2,1,1,1] => 984
[2,5,3,4,8,6,7,1] => 0100101 => [1,1,2,1,1,1] => 984
[2,5,3,4,8,7,6,1] => 0100111 => [1,1,2,3] => 265
[2,6,3,4,5,1,7,8] => 0100100 => [1,1,2,1,2] => 611
[2,6,3,4,5,7,8,1] => 0100001 => [1,1,4,1] => 148
[2,6,3,4,5,8,7,1] => 0100011 => [1,1,3,2] => 265
[2,7,3,4,5,6,1,8] => 0100010 => [1,1,3,1,1] => 439
[2,8,3,4,5,6,7,1] => 0100001 => [1,1,4,1] => 148
[2,8,3,4,5,7,6,1] => 0100011 => [1,1,3,2] => 265
[2,6,3,5,4,1,7,8] => 0101100 => [1,1,1,2,2] => 622
[2,6,3,5,4,1,8,7] => 0101101 => [1,1,1,2,1,1] => 1006
[2,6,3,5,4,7,8,1] => 0101001 => [1,1,1,1,2,1] => 1023
[2,6,3,5,4,8,7,1] => 0101011 => [1,1,1,1,1,2] => 1023
[2,7,3,5,4,6,8,1] => 0101001 => [1,1,1,1,2,1] => 1023
[2,8,3,5,4,7,6,1] => 0101011 => [1,1,1,1,1,2] => 1023
[2,7,3,5,6,4,8,1] => 0100101 => [1,1,2,1,1,1] => 984
[2,8,3,5,6,7,4,1] => 0100011 => [1,1,3,2] => 265
[2,8,3,5,7,6,4,1] => 0100111 => [1,1,2,3] => 265
[2,7,3,6,5,4,1,8] => 0101110 => [1,1,1,3,1] => 450
[2,8,3,7,5,6,4,1] => 0101011 => [1,1,1,1,1,2] => 1023
[2,8,3,7,6,5,4,1] => 0101111 => [1,1,1,4] => 148
[2,5,4,3,8,6,7,1] => 0110101 => [1,2,1,1,1,1] => 969
[2,6,4,3,5,1,8,7] => 0110101 => [1,2,1,1,1,1] => 969
[2,6,4,3,5,7,8,1] => 0110001 => [1,2,3,1] => 262
[2,6,4,3,5,8,7,1] => 0110011 => [1,2,2,2] => 363
[2,7,4,3,5,6,8,1] => 0110001 => [1,2,3,1] => 262
[2,8,4,3,5,6,7,1] => 0110001 => [1,2,3,1] => 262
[2,8,4,3,5,7,6,1] => 0110011 => [1,2,2,2] => 363
[2,7,4,3,6,5,8,1] => 0110101 => [1,2,1,1,1,1] => 969
[2,8,4,3,6,5,7,1] => 0110101 => [1,2,1,1,1,1] => 969
[2,8,4,3,6,7,5,1] => 0110011 => [1,2,2,2] => 363
[2,8,4,3,7,6,5,1] => 0110111 => [1,2,1,3] => 262
[2,6,4,5,3,1,7,8] => 0101100 => [1,1,1,2,2] => 622
[2,6,4,5,3,1,8,7] => 0101101 => [1,1,1,2,1,1] => 1006
[2,6,4,5,3,7,8,1] => 0101001 => [1,1,1,1,2,1] => 1023
[2,6,4,5,3,8,7,1] => 0101011 => [1,1,1,1,1,2] => 1023
[2,8,4,5,3,6,7,1] => 0101001 => [1,1,1,1,2,1] => 1023
[2,7,4,5,6,3,1,8] => 0100110 => [1,1,2,2,1] => 611
[2,7,4,5,6,3,8,1] => 0100101 => [1,1,2,1,1,1] => 984
[2,8,4,5,6,3,7,1] => 0100101 => [1,1,2,1,1,1] => 984
[2,8,4,5,6,7,3,1] => 0100011 => [1,1,3,2] => 265
[2,7,4,6,5,3,1,8] => 0101110 => [1,1,1,3,1] => 450
[2,7,4,6,5,3,8,1] => 0101101 => [1,1,1,2,1,1] => 1006
[2,8,4,6,5,3,7,1] => 0101101 => [1,1,1,2,1,1] => 1006
[2,8,4,7,6,5,3,1] => 0101111 => [1,1,1,4] => 148
[2,7,5,4,3,6,8,1] => 0111001 => [1,3,2,1] => 259
[2,8,5,4,3,6,7,1] => 0111001 => [1,3,2,1] => 259
[2,8,5,4,3,7,6,1] => 0111011 => [1,3,1,2] => 259
[2,7,5,4,6,3,8,1] => 0110101 => [1,2,1,1,1,1] => 969
[2,8,5,4,6,7,3,1] => 0110011 => [1,2,2,2] => 363
[2,8,5,4,7,6,3,1] => 0110111 => [1,2,1,3] => 262
[2,7,6,4,5,3,8,1] => 0110101 => [1,2,1,1,1,1] => 969
[2,8,7,4,5,6,3,1] => 0110011 => [1,2,2,2] => 363
[2,8,7,4,6,5,3,1] => 0110111 => [1,2,1,3] => 262
[2,8,7,5,4,6,3,1] => 0111011 => [1,3,1,2] => 259
[2,8,7,5,6,4,3,1] => 0110111 => [1,2,1,3] => 262
[3,2,1,4,8,6,7,5] => 1100101 => [2,2,1,1,1] => 582
[3,2,1,5,8,6,7,4] => 1100101 => [2,2,1,1,1] => 582
[3,2,1,7,5,6,8,4] => 1101001 => [2,1,1,2,1] => 603
[3,2,1,8,5,6,7,4] => 1101001 => [2,1,1,2,1] => 603
[3,2,1,8,5,7,6,4] => 1101011 => [2,1,1,1,2] => 603
[3,2,1,8,6,5,7,4] => 1101101 => [2,1,2,1,1] => 594
[3,2,1,8,6,7,5,4] => 1101011 => [2,1,1,1,2] => 603
[3,2,4,1,8,6,7,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[3,2,4,5,8,6,7,1] => 1000101 => [1,3,1,1,1] => 427
[3,2,4,7,5,6,8,1] => 1001001 => [1,2,1,2,1] => 603
[3,2,4,8,5,6,7,1] => 1001001 => [1,2,1,2,1] => 603
[3,2,4,8,6,7,5,1] => 1001011 => [1,2,1,1,2] => 603
[3,2,5,4,8,6,7,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[3,2,6,4,5,1,8,7] => 1010101 => [1,1,1,1,1,1,1] => 1623
[3,2,6,4,5,7,1,8] => 1010010 => [1,1,1,2,1,1] => 1006
[3,2,7,4,5,6,1,8] => 1010010 => [1,1,1,2,1,1] => 1006
[3,2,8,4,5,6,7,1] => 1010001 => [1,1,1,3,1] => 450
[3,2,7,4,6,5,1,8] => 1010110 => [1,1,1,1,2,1] => 1023
[3,2,7,4,6,5,8,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[3,2,8,4,6,5,7,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[3,2,7,5,4,6,1,8] => 1011010 => [1,1,2,1,1,1] => 984
[3,2,8,5,4,6,7,1] => 1011001 => [1,1,2,2,1] => 611
[3,2,8,5,4,7,6,1] => 1011011 => [1,1,2,1,2] => 611
[3,2,7,5,6,4,1,8] => 1010110 => [1,1,1,1,2,1] => 1023
[3,2,7,5,6,4,8,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[3,2,8,5,6,4,7,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[3,2,8,5,7,6,4,1] => 1010111 => [1,1,1,1,3] => 450
[3,2,8,6,5,7,4,1] => 1011011 => [1,1,2,1,2] => 611
[3,2,8,7,5,6,4,1] => 1011011 => [1,1,2,1,2] => 611
[4,2,3,1,5,7,6,8] => 1010010 => [1,1,1,2,1,1] => 1006
[4,2,3,1,5,7,8,6] => 1010001 => [1,1,1,3,1] => 450
[4,2,3,1,6,5,8,7] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,2,3,1,6,7,8,5] => 1010001 => [1,1,1,3,1] => 450
[4,2,3,1,6,8,7,5] => 1010011 => [1,1,1,2,2] => 622
[4,2,3,1,7,6,8,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,2,3,1,8,6,7,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,2,3,1,8,7,6,5] => 1010111 => [1,1,1,1,3] => 450
[4,2,3,5,1,6,8,7] => 1001001 => [1,2,1,2,1] => 603
[4,2,3,5,1,7,8,6] => 1001001 => [1,2,1,2,1] => 603
[4,2,3,5,1,8,7,6] => 1001011 => [1,2,1,1,2] => 603
[4,2,3,5,6,1,8,7] => 1000101 => [1,3,1,1,1] => 427
[4,2,3,5,6,8,7,1] => 1000011 => [1,4,2] => 85
[4,2,3,5,7,6,1,8] => 1000110 => [1,3,2,1] => 259
[4,2,3,5,8,7,6,1] => 1000111 => [1,3,3] => 110
[4,2,3,6,5,1,7,8] => 1001100 => [1,2,2,2] => 363
[4,2,3,6,5,1,8,7] => 1001101 => [1,2,2,1,1] => 594
[4,2,3,6,5,8,7,1] => 1001011 => [1,2,1,1,2] => 603
[4,2,3,7,5,6,1,8] => 1001010 => [1,2,1,1,1,1] => 969
[4,2,3,7,5,6,8,1] => 1001001 => [1,2,1,2,1] => 603
[4,2,3,8,5,6,7,1] => 1001001 => [1,2,1,2,1] => 603
[4,2,3,8,5,7,6,1] => 1001011 => [1,2,1,1,2] => 603
[4,2,3,7,6,5,8,1] => 1001101 => [1,2,2,1,1] => 594
[4,2,3,8,6,7,5,1] => 1001011 => [1,2,1,1,2] => 603
[4,2,3,8,7,6,5,1] => 1001111 => [1,2,4] => 85
[5,2,3,4,1,6,8,7] => 1001001 => [1,2,1,2,1] => 603
[5,2,3,4,1,7,8,6] => 1001001 => [1,2,1,2,1] => 603
[5,2,3,4,1,8,7,6] => 1001011 => [1,2,1,1,2] => 603
[5,2,3,4,6,1,8,7] => 1000101 => [1,3,1,1,1] => 427
[5,2,3,4,7,6,1,8] => 1000110 => [1,3,2,1] => 259
[5,2,3,4,8,6,7,1] => 1000101 => [1,3,1,1,1] => 427
[5,2,3,4,8,7,6,1] => 1000111 => [1,3,3] => 110
[6,2,3,4,5,1,8,7] => 1000101 => [1,3,1,1,1] => 427
[6,2,3,4,5,8,7,1] => 1000011 => [1,4,2] => 85
[8,2,3,4,5,7,6,1] => 1000011 => [1,4,2] => 85
[7,2,3,4,6,5,1,8] => 1000110 => [1,3,2,1] => 259
[8,2,3,4,7,6,5,1] => 1000111 => [1,3,3] => 110
[6,2,3,5,4,1,7,8] => 1001100 => [1,2,2,2] => 363
[6,2,3,5,4,1,8,7] => 1001101 => [1,2,2,1,1] => 594
[6,2,3,5,4,7,1,8] => 1001010 => [1,2,1,1,1,1] => 969
[6,2,3,5,4,7,8,1] => 1001001 => [1,2,1,2,1] => 603
[7,2,3,5,4,6,1,8] => 1001010 => [1,2,1,1,1,1] => 969
[8,2,3,5,4,6,7,1] => 1001001 => [1,2,1,2,1] => 603
[8,2,3,5,4,7,6,1] => 1001011 => [1,2,1,1,2] => 603
[7,2,3,5,6,4,1,8] => 1000110 => [1,3,2,1] => 259
[8,2,3,5,6,7,4,1] => 1000011 => [1,4,2] => 85
[8,2,3,5,7,6,4,1] => 1000111 => [1,3,3] => 110
[7,2,3,6,5,4,1,8] => 1001110 => [1,2,3,1] => 262
[8,2,3,6,5,4,7,1] => 1001101 => [1,2,2,1,1] => 594
[8,2,3,7,5,6,4,1] => 1001011 => [1,2,1,1,2] => 603
[8,2,3,7,6,5,4,1] => 1001111 => [1,2,4] => 85
[5,2,4,3,1,6,7,8] => 1011000 => [1,1,2,3] => 265
[5,2,4,3,1,6,8,7] => 1011001 => [1,1,2,2,1] => 611
[5,2,4,3,1,7,6,8] => 1011010 => [1,1,2,1,1,1] => 984
[5,2,4,3,1,8,7,6] => 1011011 => [1,1,2,1,2] => 611
[5,2,4,3,6,1,7,8] => 1010100 => [1,1,1,1,1,2] => 1023
[5,2,4,3,6,1,8,7] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,2,4,3,6,7,1,8] => 1010010 => [1,1,1,2,1,1] => 1006
[5,2,4,3,7,6,1,8] => 1010110 => [1,1,1,1,2,1] => 1023
[5,2,4,3,7,6,8,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,2,4,3,8,7,6,1] => 1010111 => [1,1,1,1,3] => 450
[6,2,4,3,5,1,8,7] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,2,4,3,6,5,1,8] => 1010110 => [1,1,1,1,2,1] => 1023
[7,2,4,3,6,5,8,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,2,4,3,6,5,7,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,2,4,3,6,7,5,1] => 1010011 => [1,1,1,2,2] => 622
[8,2,4,3,7,6,5,1] => 1010111 => [1,1,1,1,3] => 450
[6,2,4,5,3,1,7,8] => 1001100 => [1,2,2,2] => 363
[6,2,4,5,3,1,8,7] => 1001101 => [1,2,2,1,1] => 594
[6,2,4,5,3,8,7,1] => 1001011 => [1,2,1,1,2] => 603
[7,2,4,5,3,6,1,8] => 1001010 => [1,2,1,1,1,1] => 969
[7,2,4,5,3,6,8,1] => 1001001 => [1,2,1,2,1] => 603
[8,2,4,5,3,7,6,1] => 1001011 => [1,2,1,1,2] => 603
[8,2,4,5,6,3,7,1] => 1000101 => [1,3,1,1,1] => 427
[8,2,4,5,6,7,3,1] => 1000011 => [1,4,2] => 85
[8,2,4,5,7,6,3,1] => 1000111 => [1,3,3] => 110
[7,2,4,6,5,3,1,8] => 1001110 => [1,2,3,1] => 262
[7,2,4,6,5,3,8,1] => 1001101 => [1,2,2,1,1] => 594
[8,2,4,7,5,6,3,1] => 1001011 => [1,2,1,1,2] => 603
[8,2,4,7,6,5,3,1] => 1001111 => [1,2,4] => 85
[6,2,5,4,3,1,7,8] => 1011100 => [1,1,3,2] => 265
[6,2,5,4,3,1,8,7] => 1011101 => [1,1,3,1,1] => 439
[6,2,5,4,3,7,1,8] => 1011010 => [1,1,2,1,1,1] => 984
[6,2,5,4,3,7,8,1] => 1011001 => [1,1,2,2,1] => 611
[7,2,5,4,3,6,1,8] => 1011010 => [1,1,2,1,1,1] => 984
[8,2,5,4,3,6,7,1] => 1011001 => [1,1,2,2,1] => 611
[8,2,5,4,3,7,6,1] => 1011011 => [1,1,2,1,2] => 611
[7,2,5,4,6,3,8,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,2,5,4,7,6,3,1] => 1010111 => [1,1,1,1,3] => 450
[7,2,6,4,5,3,1,8] => 1010110 => [1,1,1,1,2,1] => 1023
[7,2,6,4,5,3,8,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,2,6,4,5,3,7,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,2,6,4,5,7,3,1] => 1010011 => [1,1,1,2,2] => 622
[8,2,7,4,5,6,3,1] => 1010011 => [1,1,1,2,2] => 622
[8,2,7,4,6,5,3,1] => 1010111 => [1,1,1,1,3] => 450
[7,2,6,5,4,3,1,8] => 1011110 => [1,1,4,1] => 148
[7,2,6,5,4,3,8,1] => 1011101 => [1,1,3,1,1] => 439
[8,2,6,5,4,3,7,1] => 1011101 => [1,1,3,1,1] => 439
[8,2,6,5,4,7,3,1] => 1011011 => [1,1,2,1,2] => 611
[8,2,7,5,4,6,3,1] => 1011011 => [1,1,2,1,2] => 611
[8,2,7,5,6,4,3,1] => 1010111 => [1,1,1,1,3] => 450
[8,2,7,6,5,4,3,1] => 1011111 => [1,1,5] => 37
[4,3,2,1,8,6,7,5] => 1110101 => [3,1,1,1,1] => 427
[4,3,2,7,5,6,8,1] => 1101001 => [2,1,1,2,1] => 603
[4,3,2,8,5,6,7,1] => 1101001 => [2,1,1,2,1] => 603
[4,3,2,8,5,7,6,1] => 1101011 => [2,1,1,1,2] => 603
[4,3,2,8,6,7,5,1] => 1101011 => [2,1,1,1,2] => 603
[5,3,2,4,1,6,8,7] => 1101001 => [2,1,1,2,1] => 603
[5,3,2,4,1,7,6,8] => 1101010 => [2,1,1,1,1,1] => 969
[5,3,2,4,1,8,7,6] => 1101011 => [2,1,1,1,2] => 603
[5,3,2,4,6,1,8,7] => 1100101 => [2,2,1,1,1] => 582
[5,3,2,4,7,6,1,8] => 1100110 => [2,2,2,1] => 357
[8,3,2,4,6,5,7,1] => 1100101 => [2,2,1,1,1] => 582
[8,3,2,4,6,7,5,1] => 1100011 => [2,3,2] => 153
[8,3,2,4,7,6,5,1] => 1100111 => [2,2,3] => 153
[6,3,2,5,4,1,7,8] => 1101100 => [2,1,2,2] => 363
[6,3,2,5,4,1,8,7] => 1101101 => [2,1,2,1,1] => 594
[6,3,2,5,4,7,1,8] => 1101010 => [2,1,1,1,1,1] => 969
[6,3,2,5,4,7,8,1] => 1101001 => [2,1,1,2,1] => 603
[6,3,2,5,4,8,7,1] => 1101011 => [2,1,1,1,2] => 603
[7,3,2,5,4,6,1,8] => 1101010 => [2,1,1,1,1,1] => 969
[8,3,2,5,4,7,6,1] => 1101011 => [2,1,1,1,2] => 603
[7,3,2,5,6,4,8,1] => 1100101 => [2,2,1,1,1] => 582
[8,3,2,5,6,4,7,1] => 1100101 => [2,2,1,1,1] => 582
[8,3,2,5,6,7,4,1] => 1100011 => [2,3,2] => 153
[8,3,2,5,7,6,4,1] => 1100111 => [2,2,3] => 153
[8,3,2,6,5,7,4,1] => 1101011 => [2,1,1,1,2] => 603
[8,3,2,7,5,6,4,1] => 1101011 => [2,1,1,1,2] => 603
[8,3,2,7,6,5,4,1] => 1101111 => [2,1,4] => 85
[5,3,4,2,1,6,8,7] => 1011001 => [1,1,2,2,1] => 611
[5,3,4,2,1,7,8,6] => 1011001 => [1,1,2,2,1] => 611
[5,3,4,2,1,8,7,6] => 1011011 => [1,1,2,1,2] => 611
[5,3,4,2,6,1,8,7] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,3,4,2,7,6,1,8] => 1010110 => [1,1,1,1,2,1] => 1023
[5,3,4,2,7,6,8,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,3,4,2,8,6,7,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,3,4,2,5,1,8,7] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,3,4,2,6,5,1,8] => 1010110 => [1,1,1,1,2,1] => 1023
[7,3,4,2,6,5,8,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,3,4,2,6,5,7,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,3,4,5,2,1,8,7] => 1001101 => [1,2,2,1,1] => 594
[6,3,4,5,2,8,7,1] => 1001011 => [1,2,1,1,2] => 603
[8,3,4,5,2,7,6,1] => 1001011 => [1,2,1,1,2] => 603
[8,3,4,5,7,6,2,1] => 1000111 => [1,3,3] => 110
[7,3,4,6,5,2,1,8] => 1001110 => [1,2,3,1] => 262
[8,3,4,7,6,5,2,1] => 1001111 => [1,2,4] => 85
[6,3,5,4,2,1,8,7] => 1011101 => [1,1,3,1,1] => 439
[6,3,5,4,2,7,1,8] => 1011010 => [1,1,2,1,1,1] => 984
[6,3,5,4,2,7,8,1] => 1011001 => [1,1,2,2,1] => 611
[6,3,5,4,2,8,7,1] => 1011011 => [1,1,2,1,2] => 611
[7,3,5,4,2,6,1,8] => 1011010 => [1,1,2,1,1,1] => 984
[8,3,5,4,2,6,7,1] => 1011001 => [1,1,2,2,1] => 611
[8,3,5,4,2,7,6,1] => 1011011 => [1,1,2,1,2] => 611
[7,3,5,4,6,2,1,8] => 1010110 => [1,1,1,1,2,1] => 1023
[7,3,5,4,6,2,8,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,3,5,4,6,7,2,1] => 1010011 => [1,1,1,2,2] => 622
[8,3,5,4,7,6,2,1] => 1010111 => [1,1,1,1,3] => 450
[7,3,6,4,5,2,1,8] => 1010110 => [1,1,1,1,2,1] => 1023
[7,3,6,4,5,2,8,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,3,6,4,5,2,7,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,3,6,4,5,7,2,1] => 1010011 => [1,1,1,2,2] => 622
[8,3,7,4,5,6,2,1] => 1010011 => [1,1,1,2,2] => 622
[8,3,7,4,6,5,2,1] => 1010111 => [1,1,1,1,3] => 450
[7,3,6,5,4,2,1,8] => 1011110 => [1,1,4,1] => 148
[7,3,6,5,4,2,8,1] => 1011101 => [1,1,3,1,1] => 439
[8,3,6,5,4,2,7,1] => 1011101 => [1,1,3,1,1] => 439
[8,3,6,5,4,7,2,1] => 1011011 => [1,1,2,1,2] => 611
[8,3,7,5,4,6,2,1] => 1011011 => [1,1,2,1,2] => 611
[8,3,7,5,6,4,2,1] => 1010111 => [1,1,1,1,3] => 450
[8,3,7,6,5,4,2,1] => 1011111 => [1,1,5] => 37
[5,4,3,2,8,6,7,1] => 1110101 => [3,1,1,1,1] => 427
[6,4,3,2,5,1,8,7] => 1110101 => [3,1,1,1,1] => 427
[6,4,3,2,5,8,7,1] => 1110011 => [3,2,2] => 153
[8,4,3,2,5,7,6,1] => 1110011 => [3,2,2] => 153
[7,4,3,2,6,5,1,8] => 1110110 => [3,1,2,1] => 259
[7,4,3,2,6,5,8,1] => 1110101 => [3,1,1,1,1] => 427
[8,4,3,2,6,5,7,1] => 1110101 => [3,1,1,1,1] => 427
[8,4,3,2,6,7,5,1] => 1110011 => [3,2,2] => 153
[8,4,3,2,7,6,5,1] => 1110111 => [3,1,3] => 110
[6,4,3,5,2,1,8,7] => 1101101 => [2,1,2,1,1] => 594
[8,4,3,5,2,7,6,1] => 1101011 => [2,1,1,1,2] => 603
[8,4,3,5,7,6,2,1] => 1100111 => [2,2,3] => 153
[7,4,3,6,5,2,1,8] => 1101110 => [2,1,3,1] => 262
[7,4,3,6,5,2,8,1] => 1101101 => [2,1,2,1,1] => 594
[8,4,3,7,5,6,2,1] => 1101011 => [2,1,1,1,2] => 603
[8,4,3,7,6,5,2,1] => 1101111 => [2,1,4] => 85
[6,5,3,4,2,1,8,7] => 1101101 => [2,1,2,1,1] => 594
[8,5,3,4,2,7,6,1] => 1101011 => [2,1,1,1,2] => 603
[8,5,3,4,7,6,2,1] => 1100111 => [2,2,3] => 153
[8,7,3,4,6,5,2,1] => 1100111 => [2,2,3] => 153
[7,6,3,5,4,2,1,8] => 1101110 => [2,1,3,1] => 262
[7,6,3,5,4,2,8,1] => 1101101 => [2,1,2,1,1] => 594
[8,6,3,5,4,2,7,1] => 1101101 => [2,1,2,1,1] => 594
[8,6,3,5,4,7,2,1] => 1101011 => [2,1,1,1,2] => 603
[8,7,3,5,4,6,2,1] => 1101011 => [2,1,1,1,2] => 603
[8,7,3,5,6,4,2,1] => 1100111 => [2,2,3] => 153
[8,7,3,6,5,4,2,1] => 1101111 => [2,1,4] => 85
[8,5,4,3,2,7,6,1] => 1111011 => [4,1,2] => 85
[8,5,4,3,7,6,2,1] => 1110111 => [3,1,3] => 110
[8,7,4,3,6,5,2,1] => 1110111 => [3,1,3] => 110
[8,7,4,6,5,3,2,1] => 1101111 => [2,1,4] => 85
[2,4,1,3,6,5,8,7] => 0100101 => [1,1,2,1,1,1] => 984
[2,1,4,6,3,5,8,7] => 1001001 => [1,2,1,2,1] => 603
[2,4,1,6,3,5,8,7] => 0101001 => [1,1,1,1,2,1] => 1023
[2,4,6,1,3,5,8,7] => 0010001 => [2,1,3,1] => 262
[2,1,4,3,6,8,5,7] => 1010010 => [1,1,1,2,1,1] => 1006
[2,4,1,3,6,8,5,7] => 0100010 => [1,1,3,1,1] => 439
[2,1,4,6,3,8,5,7] => 1001010 => [1,2,1,1,1,1] => 969
[2,4,1,6,3,8,5,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,4,6,1,3,8,5,7] => 0010010 => [2,1,2,1,1] => 594
[2,1,4,6,8,3,5,7] => 1000100 => [1,3,1,2] => 259
[2,4,1,6,8,3,5,7] => 0100100 => [1,1,2,1,2] => 611
[2,4,6,1,8,3,5,7] => 0010100 => [2,1,1,1,2] => 603
[2,4,6,8,1,3,5,7] => 0001000 => [3,1,3] => 110
[2,4,1,3,6,5,7,8] => 0100100 => [1,1,2,1,2] => 611
[2,1,4,6,3,5,7,8] => 1001000 => [1,2,1,3] => 262
[2,4,1,6,3,5,7,8] => 0101000 => [1,1,1,1,3] => 450
[2,4,6,1,3,5,7,8] => 0010000 => [2,1,4] => 85
[2,1,4,6,3,7,5,8] => 1001010 => [1,2,1,1,1,1] => 969
[2,4,1,6,3,7,5,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,4,6,1,3,7,5,8] => 0010010 => [2,1,2,1,1] => 594
[2,4,6,7,1,3,5,8] => 0001000 => [3,1,3] => 110
[2,4,1,3,6,7,8,5] => 0100001 => [1,1,4,1] => 148
[2,1,4,6,3,7,8,5] => 1001001 => [1,2,1,2,1] => 603
[2,4,1,6,3,7,8,5] => 0101001 => [1,1,1,1,2,1] => 1023
[2,4,6,1,3,7,8,5] => 0010001 => [2,1,3,1] => 262
[2,1,4,6,7,3,8,5] => 1000101 => [1,3,1,1,1] => 427
[2,4,1,6,7,3,8,5] => 0100101 => [1,1,2,1,1,1] => 984
[2,4,6,1,7,3,8,5] => 0010101 => [2,1,1,1,1,1] => 969
[2,4,6,7,1,3,8,5] => 0001001 => [3,1,2,1] => 259
[2,1,4,6,7,8,3,5] => 1000010 => [1,4,1,1] => 145
[2,4,1,6,7,8,3,5] => 0100010 => [1,1,3,1,1] => 439
[2,4,6,1,7,8,3,5] => 0010010 => [2,1,2,1,1] => 594
[2,4,6,7,1,8,3,5] => 0001010 => [3,1,1,1,1] => 427
[2,4,6,7,8,1,3,5] => 0000100 => [4,1,2] => 85
[2,1,4,3,7,5,8,6] => 1010101 => [1,1,1,1,1,1,1] => 1623
[2,4,1,3,7,5,8,6] => 0100101 => [1,1,2,1,1,1] => 984
[2,1,4,7,3,5,8,6] => 1001001 => [1,2,1,2,1] => 603
[2,4,1,7,3,5,8,6] => 0101001 => [1,1,1,1,2,1] => 1023
[2,4,7,1,3,5,8,6] => 0010001 => [2,1,3,1] => 262
[2,1,4,3,7,8,5,6] => 1010010 => [1,1,1,2,1,1] => 1006
[2,4,1,3,7,8,5,6] => 0100010 => [1,1,3,1,1] => 439
[2,4,1,7,3,8,5,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,1,4,7,8,3,5,6] => 1000100 => [1,3,1,2] => 259
[2,4,1,7,8,3,5,6] => 0100100 => [1,1,2,1,2] => 611
[2,4,7,1,8,3,5,6] => 0010100 => [2,1,1,1,2] => 603
[2,4,7,8,1,3,5,6] => 0001000 => [3,1,3] => 110
[2,4,1,5,3,7,6,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,4,5,1,3,7,6,8] => 0010010 => [2,1,2,1,1] => 594
[2,4,5,1,7,3,6,8] => 0010100 => [2,1,1,1,2] => 603
[2,4,1,3,5,7,8,6] => 0100001 => [1,1,4,1] => 148
[2,4,1,5,3,7,8,6] => 0101001 => [1,1,1,1,2,1] => 1023
[2,4,5,1,3,7,8,6] => 0010001 => [2,1,3,1] => 262
[2,1,4,5,7,3,8,6] => 1000101 => [1,3,1,1,1] => 427
[2,4,1,5,7,3,8,6] => 0100101 => [1,1,2,1,1,1] => 984
[2,4,5,1,7,3,8,6] => 0010101 => [2,1,1,1,1,1] => 969
[2,4,5,7,1,3,8,6] => 0001001 => [3,1,2,1] => 259
[2,1,4,5,7,8,3,6] => 1000010 => [1,4,1,1] => 145
[2,4,5,1,7,8,3,6] => 0010010 => [2,1,2,1,1] => 594
[2,4,5,7,1,8,3,6] => 0001010 => [3,1,1,1,1] => 427
[2,4,5,7,8,1,3,6] => 0000100 => [4,1,2] => 85
[2,1,4,3,8,5,6,7] => 1010100 => [1,1,1,1,1,2] => 1023
[2,4,1,3,8,5,6,7] => 0100100 => [1,1,2,1,2] => 611
[2,1,4,8,3,5,6,7] => 1001000 => [1,2,1,3] => 262
[2,4,1,8,3,5,6,7] => 0101000 => [1,1,1,1,3] => 450
[2,4,8,1,3,5,6,7] => 0010000 => [2,1,4] => 85
[2,1,4,3,5,8,6,7] => 1010010 => [1,1,1,2,1,1] => 1006
[2,4,1,5,3,8,6,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,1,4,5,8,3,6,7] => 1000100 => [1,3,1,2] => 259
[2,4,1,5,8,3,6,7] => 0100100 => [1,1,2,1,2] => 611
[2,4,5,1,8,3,6,7] => 0010100 => [2,1,1,1,2] => 603
[2,4,5,8,1,3,6,7] => 0001000 => [3,1,3] => 110
[2,4,1,5,3,6,8,7] => 0101001 => [1,1,1,1,2,1] => 1023
[2,4,1,5,6,3,8,7] => 0100101 => [1,1,2,1,1,1] => 984
[2,4,5,1,6,3,8,7] => 0010101 => [2,1,1,1,1,1] => 969
[2,4,5,6,1,3,8,7] => 0001001 => [3,1,2,1] => 259
[2,1,4,5,6,8,3,7] => 1000010 => [1,4,1,1] => 145
[2,4,1,5,6,8,3,7] => 0100010 => [1,1,3,1,1] => 439
[2,4,5,1,6,8,3,7] => 0010010 => [2,1,2,1,1] => 594
[2,4,5,6,1,8,3,7] => 0001010 => [3,1,1,1,1] => 427
[2,4,5,6,8,1,3,7] => 0000100 => [4,1,2] => 85
[2,4,1,3,5,6,7,8] => 0100000 => [1,1,5] => 37
[2,4,1,5,3,6,7,8] => 0101000 => [1,1,1,1,3] => 450
[2,4,5,1,3,6,7,8] => 0010000 => [2,1,4] => 85
[2,4,1,5,6,3,7,8] => 0100100 => [1,1,2,1,2] => 611
[2,4,5,1,6,3,7,8] => 0010100 => [2,1,1,1,2] => 603
[2,4,5,6,1,3,7,8] => 0001000 => [3,1,3] => 110
[2,4,1,5,6,7,3,8] => 0100010 => [1,1,3,1,1] => 439
[2,4,5,6,1,7,3,8] => 0001010 => [3,1,1,1,1] => 427
[2,4,5,6,7,1,3,8] => 0000100 => [4,1,2] => 85
[2,4,1,5,6,7,8,3] => 0100001 => [1,1,4,1] => 148
[2,4,5,1,6,7,8,3] => 0010001 => [2,1,3,1] => 262
[2,4,5,6,1,7,8,3] => 0001001 => [3,1,2,1] => 259
[2,4,5,6,7,1,8,3] => 0000101 => [4,1,1,1] => 145
[2,4,5,6,7,8,1,3] => 0000010 => [5,1,1] => 37
[2,1,5,3,6,4,8,7] => 1010101 => [1,1,1,1,1,1,1] => 1623
[2,5,1,3,6,4,8,7] => 0100101 => [1,1,2,1,1,1] => 984
[2,1,5,6,3,4,8,7] => 1001001 => [1,2,1,2,1] => 603
[2,5,1,6,3,4,8,7] => 0101001 => [1,1,1,1,2,1] => 1023
[2,5,6,1,3,4,8,7] => 0010001 => [2,1,3,1] => 262
[2,1,5,3,6,8,4,7] => 1010010 => [1,1,1,2,1,1] => 1006
[2,5,1,3,6,8,4,7] => 0100010 => [1,1,3,1,1] => 439
[2,5,1,6,3,8,4,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,5,6,1,3,8,4,7] => 0010010 => [2,1,2,1,1] => 594
[2,1,5,6,8,3,4,7] => 1000100 => [1,3,1,2] => 259
[2,5,1,6,8,3,4,7] => 0100100 => [1,1,2,1,2] => 611
[2,5,6,8,1,3,4,7] => 0001000 => [3,1,3] => 110
[2,5,1,3,6,4,7,8] => 0100100 => [1,1,2,1,2] => 611
[2,1,5,6,3,4,7,8] => 1001000 => [1,2,1,3] => 262
[2,5,1,6,3,4,7,8] => 0101000 => [1,1,1,1,3] => 450
[2,1,5,3,6,7,4,8] => 1010010 => [1,1,1,2,1,1] => 1006
[2,1,5,6,3,7,4,8] => 1001010 => [1,2,1,1,1,1] => 969
[2,5,1,6,3,7,4,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,5,6,1,3,7,4,8] => 0010010 => [2,1,2,1,1] => 594
[2,1,5,6,7,3,4,8] => 1000100 => [1,3,1,2] => 259
[2,5,1,6,7,3,4,8] => 0100100 => [1,1,2,1,2] => 611
[2,5,6,1,7,3,4,8] => 0010100 => [2,1,1,1,2] => 603
[2,1,5,3,6,7,8,4] => 1010001 => [1,1,1,3,1] => 450
[2,5,1,3,6,7,8,4] => 0100001 => [1,1,4,1] => 148
[2,1,5,6,3,7,8,4] => 1001001 => [1,2,1,2,1] => 603
[2,5,1,6,3,7,8,4] => 0101001 => [1,1,1,1,2,1] => 1023
[2,5,6,1,3,7,8,4] => 0010001 => [2,1,3,1] => 262
[2,1,5,6,7,3,8,4] => 1000101 => [1,3,1,1,1] => 427
[2,5,1,6,7,3,8,4] => 0100101 => [1,1,2,1,1,1] => 984
[2,5,6,7,1,3,8,4] => 0001001 => [3,1,2,1] => 259
[2,1,5,6,7,8,3,4] => 1000010 => [1,4,1,1] => 145
[2,5,1,6,7,8,3,4] => 0100010 => [1,1,3,1,1] => 439
[2,5,6,1,7,8,3,4] => 0010010 => [2,1,2,1,1] => 594
[2,5,6,7,1,8,3,4] => 0001010 => [3,1,1,1,1] => 427
[2,5,6,7,8,1,3,4] => 0000100 => [4,1,2] => 85
[2,1,5,3,7,4,8,6] => 1010101 => [1,1,1,1,1,1,1] => 1623
[2,5,1,3,7,4,8,6] => 0100101 => [1,1,2,1,1,1] => 984
[2,1,5,7,3,4,8,6] => 1001001 => [1,2,1,2,1] => 603
[2,5,1,7,3,4,8,6] => 0101001 => [1,1,1,1,2,1] => 1023
[2,5,7,1,3,4,8,6] => 0010001 => [2,1,3,1] => 262
[2,1,5,3,7,8,4,6] => 1010010 => [1,1,1,2,1,1] => 1006
[2,5,1,3,7,8,4,6] => 0100010 => [1,1,3,1,1] => 439
[2,1,5,7,3,8,4,6] => 1001010 => [1,2,1,1,1,1] => 969
[2,1,5,7,8,3,4,6] => 1000100 => [1,3,1,2] => 259
[2,5,1,7,8,3,4,6] => 0100100 => [1,1,2,1,2] => 611
[2,5,7,1,8,3,4,6] => 0010100 => [2,1,1,1,2] => 603
[2,5,7,8,1,3,4,6] => 0001000 => [3,1,3] => 110
[2,5,1,3,7,4,6,8] => 0100100 => [1,1,2,1,2] => 611
[2,1,5,7,3,4,6,8] => 1001000 => [1,2,1,3] => 262
[2,3,5,1,4,7,6,8] => 0010010 => [2,1,2,1,1] => 594
[2,3,5,7,1,4,6,8] => 0001000 => [3,1,3] => 110
[2,3,5,1,7,4,8,6] => 0010101 => [2,1,1,1,1,1] => 969
[2,3,5,7,1,4,8,6] => 0001001 => [3,1,2,1] => 259
[2,3,1,5,7,8,4,6] => 0100010 => [1,1,3,1,1] => 439
[2,3,5,7,1,8,4,6] => 0001010 => [3,1,1,1,1] => 427
[2,3,5,7,8,1,4,6] => 0000100 => [4,1,2] => 85
[2,1,5,3,8,4,6,7] => 1010100 => [1,1,1,1,1,2] => 1023
[2,5,1,3,8,4,6,7] => 0100100 => [1,1,2,1,2] => 611
[2,1,5,8,3,4,6,7] => 1001000 => [1,2,1,3] => 262
[2,5,1,8,3,4,6,7] => 0101000 => [1,1,1,1,3] => 450
[2,5,8,1,3,4,6,7] => 0010000 => [2,1,4] => 85
[2,3,5,1,4,8,6,7] => 0010010 => [2,1,2,1,1] => 594
[2,1,3,5,8,4,6,7] => 1000100 => [1,3,1,2] => 259
[2,3,5,1,8,4,6,7] => 0010100 => [2,1,1,1,2] => 603
[2,3,5,8,1,4,6,7] => 0001000 => [3,1,3] => 110
[2,1,5,3,4,6,8,7] => 1010001 => [1,1,1,3,1] => 450
[2,3,5,1,6,4,8,7] => 0010101 => [2,1,1,1,1,1] => 969
[2,3,5,6,1,4,8,7] => 0001001 => [3,1,2,1] => 259
[2,3,1,5,6,8,4,7] => 0100010 => [1,1,3,1,1] => 439
[2,3,5,1,6,8,4,7] => 0010010 => [2,1,2,1,1] => 594
[2,3,5,6,1,8,4,7] => 0001010 => [3,1,1,1,1] => 427
[2,3,5,6,8,1,4,7] => 0000100 => [4,1,2] => 85
[2,1,5,3,4,6,7,8] => 1010000 => [1,1,1,4] => 148
[2,5,1,3,4,6,7,8] => 0100000 => [1,1,5] => 37
[2,3,5,1,4,6,7,8] => 0010000 => [2,1,4] => 85
[2,3,5,1,6,4,7,8] => 0010100 => [2,1,1,1,2] => 603
[2,3,5,6,1,4,7,8] => 0001000 => [3,1,3] => 110
[2,3,5,6,1,7,4,8] => 0001010 => [3,1,1,1,1] => 427
[2,3,5,6,7,1,4,8] => 0000100 => [4,1,2] => 85
[2,3,5,1,6,7,8,4] => 0010001 => [2,1,3,1] => 262
[2,3,5,6,1,7,8,4] => 0001001 => [3,1,2,1] => 259
[2,3,5,6,7,1,8,4] => 0000101 => [4,1,1,1] => 145
[2,3,5,6,7,8,1,4] => 0000010 => [5,1,1] => 37
[2,1,6,3,7,4,8,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[2,6,1,3,7,4,8,5] => 0100101 => [1,1,2,1,1,1] => 984
[2,1,6,7,3,4,8,5] => 1001001 => [1,2,1,2,1] => 603
[2,6,1,7,3,4,8,5] => 0101001 => [1,1,1,1,2,1] => 1023
[2,6,7,1,3,4,8,5] => 0010001 => [2,1,3,1] => 262
[2,1,6,3,7,8,4,5] => 1010010 => [1,1,1,2,1,1] => 1006
[2,6,1,3,7,8,4,5] => 0100010 => [1,1,3,1,1] => 439
[2,1,6,7,3,8,4,5] => 1001010 => [1,2,1,1,1,1] => 969
[2,6,1,7,3,8,4,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,1,6,7,8,3,4,5] => 1000100 => [1,3,1,2] => 259
[2,6,1,7,8,3,4,5] => 0100100 => [1,1,2,1,2] => 611
[2,6,7,1,8,3,4,5] => 0010100 => [2,1,1,1,2] => 603
[2,6,7,8,1,3,4,5] => 0001000 => [3,1,3] => 110
[2,1,6,3,7,4,5,8] => 1010100 => [1,1,1,1,1,2] => 1023
[2,6,1,7,3,4,5,8] => 0101000 => [1,1,1,1,3] => 450
[2,6,7,1,3,4,5,8] => 0010000 => [2,1,4] => 85
[2,6,1,3,4,7,5,8] => 0100010 => [1,1,3,1,1] => 439
[2,3,1,6,4,7,5,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,3,6,1,4,7,5,8] => 0010010 => [2,1,2,1,1] => 594
[2,3,6,7,1,4,5,8] => 0001000 => [3,1,3] => 110
[2,1,6,3,4,7,8,5] => 1010001 => [1,1,1,3,1] => 450
[2,6,1,3,4,7,8,5] => 0100001 => [1,1,4,1] => 148
[2,3,6,1,4,7,8,5] => 0010001 => [2,1,3,1] => 262
[2,1,3,6,7,4,8,5] => 1000101 => [1,3,1,1,1] => 427
[2,3,6,7,1,4,8,5] => 0001001 => [3,1,2,1] => 259
[2,1,3,6,7,8,4,5] => 1000010 => [1,4,1,1] => 145
[2,3,1,6,7,8,4,5] => 0100010 => [1,1,3,1,1] => 439
[2,3,6,1,7,8,4,5] => 0010010 => [2,1,2,1,1] => 594
[2,3,6,7,1,8,4,5] => 0001010 => [3,1,1,1,1] => 427
[2,3,6,7,8,1,4,5] => 0000100 => [4,1,2] => 85
[2,1,6,3,8,4,5,7] => 1010100 => [1,1,1,1,1,2] => 1023
[2,6,1,3,8,4,5,7] => 0100100 => [1,1,2,1,2] => 611
[2,1,6,8,3,4,5,7] => 1001000 => [1,2,1,3] => 262
[2,6,1,8,3,4,5,7] => 0101000 => [1,1,1,1,3] => 450
[2,6,8,1,3,4,5,7] => 0010000 => [2,1,4] => 85
[2,1,6,3,4,8,5,7] => 1010010 => [1,1,1,2,1,1] => 1006
[2,6,1,3,4,8,5,7] => 0100010 => [1,1,3,1,1] => 439
[2,3,1,6,4,8,5,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,3,6,1,4,8,5,7] => 0010010 => [2,1,2,1,1] => 594
[2,3,1,6,8,4,5,7] => 0100100 => [1,1,2,1,2] => 611
[2,3,6,1,8,4,5,7] => 0010100 => [2,1,1,1,2] => 603
[2,3,6,8,1,4,5,7] => 0001000 => [3,1,3] => 110
[2,1,6,3,4,5,8,7] => 1010001 => [1,1,1,3,1] => 450
[2,6,1,3,4,5,8,7] => 0100001 => [1,1,4,1] => 148
[2,1,3,6,4,5,8,7] => 1001001 => [1,2,1,2,1] => 603
[2,3,6,1,4,5,8,7] => 0010001 => [2,1,3,1] => 262
[2,3,4,1,6,8,5,7] => 0010010 => [2,1,2,1,1] => 594
[2,3,4,6,1,8,5,7] => 0001010 => [3,1,1,1,1] => 427
[2,3,4,6,8,1,5,7] => 0000100 => [4,1,2] => 85
[2,6,1,3,4,5,7,8] => 0100000 => [1,1,5] => 37
[2,1,3,6,4,5,7,8] => 1001000 => [1,2,1,3] => 262
[2,3,1,6,4,5,7,8] => 0101000 => [1,1,1,1,3] => 450
[2,3,6,1,4,5,7,8] => 0010000 => [2,1,4] => 85
[2,3,4,6,1,5,7,8] => 0001000 => [3,1,3] => 110
[2,3,4,6,1,7,5,8] => 0001010 => [3,1,1,1,1] => 427
[2,3,4,6,7,1,5,8] => 0000100 => [4,1,2] => 85
[2,3,4,6,1,7,8,5] => 0001001 => [3,1,2,1] => 259
[2,3,4,6,7,8,1,5] => 0000010 => [5,1,1] => 37
[2,1,7,3,8,4,5,6] => 1010100 => [1,1,1,1,1,2] => 1023
[2,7,1,3,8,4,5,6] => 0100100 => [1,1,2,1,2] => 611
[2,1,7,8,3,4,5,6] => 1001000 => [1,2,1,3] => 262
[2,7,1,8,3,4,5,6] => 0101000 => [1,1,1,1,3] => 450
[2,7,8,1,3,4,5,6] => 0010000 => [2,1,4] => 85
[2,1,7,3,4,8,5,6] => 1010010 => [1,1,1,2,1,1] => 1006
[2,7,1,3,4,8,5,6] => 0100010 => [1,1,3,1,1] => 439
[2,1,3,7,4,8,5,6] => 1001010 => [1,2,1,1,1,1] => 969
[2,3,1,7,4,8,5,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,3,7,1,4,8,5,6] => 0010010 => [2,1,2,1,1] => 594
[2,1,3,7,8,4,5,6] => 1000100 => [1,3,1,2] => 259
[2,3,1,7,8,4,5,6] => 0100100 => [1,1,2,1,2] => 611
[2,3,7,8,1,4,5,6] => 0001000 => [3,1,3] => 110
[2,1,7,3,4,5,8,6] => 1010001 => [1,1,1,3,1] => 450
[2,7,1,3,4,5,8,6] => 0100001 => [1,1,4,1] => 148
[2,3,1,7,4,5,8,6] => 0101001 => [1,1,1,1,2,1] => 1023
[2,3,7,1,4,5,8,6] => 0010001 => [2,1,3,1] => 262
[2,1,3,4,7,5,8,6] => 1000101 => [1,3,1,1,1] => 427
[2,3,4,1,7,5,8,6] => 0010101 => [2,1,1,1,1,1] => 969
[2,3,4,7,1,5,8,6] => 0001001 => [3,1,2,1] => 259
[2,1,3,4,7,8,5,6] => 1000010 => [1,4,1,1] => 145
[2,3,1,4,7,8,5,6] => 0100010 => [1,1,3,1,1] => 439
[2,3,4,1,7,8,5,6] => 0010010 => [2,1,2,1,1] => 594
[2,3,4,7,1,8,5,6] => 0001010 => [3,1,1,1,1] => 427
[2,3,4,7,8,1,5,6] => 0000100 => [4,1,2] => 85
[2,1,7,3,4,5,6,8] => 1010000 => [1,1,1,4] => 148
[2,7,1,3,4,5,6,8] => 0100000 => [1,1,5] => 37
[2,3,7,1,4,5,6,8] => 0010000 => [2,1,4] => 85
[2,1,3,4,7,5,6,8] => 1000100 => [1,3,1,2] => 259
[2,3,1,4,7,5,6,8] => 0100100 => [1,1,2,1,2] => 611
[2,3,4,1,7,5,6,8] => 0010100 => [2,1,1,1,2] => 603
[2,3,4,7,1,5,6,8] => 0001000 => [3,1,3] => 110
[2,3,4,5,7,1,6,8] => 0000100 => [4,1,2] => 85
[2,3,4,5,7,1,8,6] => 0000101 => [4,1,1,1] => 145
[2,3,4,5,7,8,1,6] => 0000010 => [5,1,1] => 37
[2,1,8,3,4,5,6,7] => 1010000 => [1,1,1,4] => 148
[2,8,1,3,4,5,6,7] => 0100000 => [1,1,5] => 37
[2,1,3,8,4,5,6,7] => 1001000 => [1,2,1,3] => 262
[2,3,1,8,4,5,6,7] => 0101000 => [1,1,1,1,3] => 450
[2,3,8,1,4,5,6,7] => 0010000 => [2,1,4] => 85
[2,1,3,4,8,5,6,7] => 1000100 => [1,3,1,2] => 259
[2,3,1,4,8,5,6,7] => 0100100 => [1,1,2,1,2] => 611
[2,3,4,1,8,5,6,7] => 0010100 => [2,1,1,1,2] => 603
[2,3,4,8,1,5,6,7] => 0001000 => [3,1,3] => 110
[2,1,3,4,5,8,6,7] => 1000010 => [1,4,1,1] => 145
[2,3,1,4,5,8,6,7] => 0100010 => [1,1,3,1,1] => 439
[2,3,4,1,5,8,6,7] => 0010010 => [2,1,2,1,1] => 594
[2,3,4,5,1,8,6,7] => 0001010 => [3,1,1,1,1] => 427
[2,3,4,5,8,1,6,7] => 0000100 => [4,1,2] => 85
[2,3,4,5,6,8,1,7] => 0000010 => [5,1,1] => 37
[3,1,4,2,6,5,8,7] => 1010101 => [1,1,1,1,1,1,1] => 1623
[3,4,1,2,6,5,8,7] => 0100101 => [1,1,2,1,1,1] => 984
[3,1,4,6,2,5,8,7] => 1001001 => [1,2,1,2,1] => 603
[3,4,1,6,2,5,8,7] => 0101001 => [1,1,1,1,2,1] => 1023
[3,4,6,1,2,5,8,7] => 0010001 => [2,1,3,1] => 262
[3,1,4,2,6,8,5,7] => 1010010 => [1,1,1,2,1,1] => 1006
[3,4,1,2,6,8,5,7] => 0100010 => [1,1,3,1,1] => 439
[3,1,4,6,2,8,5,7] => 1001010 => [1,2,1,1,1,1] => 969
[3,4,1,6,2,8,5,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,1,4,6,8,2,5,7] => 1000100 => [1,3,1,2] => 259
[3,4,1,6,8,2,5,7] => 0100100 => [1,1,2,1,2] => 611
[3,4,6,8,1,2,5,7] => 0001000 => [3,1,3] => 110
[3,1,4,2,6,5,7,8] => 1010100 => [1,1,1,1,1,2] => 1023
[3,4,1,2,6,5,7,8] => 0100100 => [1,1,2,1,2] => 611
[3,1,4,2,6,7,5,8] => 1010010 => [1,1,1,2,1,1] => 1006
[3,4,1,2,6,7,5,8] => 0100010 => [1,1,3,1,1] => 439
[3,4,1,6,2,7,5,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,4,6,1,2,7,5,8] => 0010010 => [2,1,2,1,1] => 594
[3,4,1,6,7,2,5,8] => 0100100 => [1,1,2,1,2] => 611
[3,4,6,7,1,2,5,8] => 0001000 => [3,1,3] => 110
[3,1,4,2,6,7,8,5] => 1010001 => [1,1,1,3,1] => 450
[3,4,1,2,6,7,8,5] => 0100001 => [1,1,4,1] => 148
[3,1,4,6,2,7,8,5] => 1001001 => [1,2,1,2,1] => 603
[3,4,1,6,2,7,8,5] => 0101001 => [1,1,1,1,2,1] => 1023
[3,4,6,1,2,7,8,5] => 0010001 => [2,1,3,1] => 262
[3,1,4,6,7,2,8,5] => 1000101 => [1,3,1,1,1] => 427
[3,4,1,6,7,2,8,5] => 0100101 => [1,1,2,1,1,1] => 984
[3,4,6,1,7,2,8,5] => 0010101 => [2,1,1,1,1,1] => 969
[3,4,6,7,1,2,8,5] => 0001001 => [3,1,2,1] => 259
[3,1,4,6,7,8,2,5] => 1000010 => [1,4,1,1] => 145
[3,4,1,6,7,8,2,5] => 0100010 => [1,1,3,1,1] => 439
[3,4,6,1,7,8,2,5] => 0010010 => [2,1,2,1,1] => 594
[3,4,6,7,1,8,2,5] => 0001010 => [3,1,1,1,1] => 427
[3,4,6,7,8,1,2,5] => 0000100 => [4,1,2] => 85
[3,1,4,2,7,5,8,6] => 1010101 => [1,1,1,1,1,1,1] => 1623
[3,4,1,2,7,5,8,6] => 0100101 => [1,1,2,1,1,1] => 984
[3,1,4,7,2,5,8,6] => 1001001 => [1,2,1,2,1] => 603
[3,4,1,7,2,5,8,6] => 0101001 => [1,1,1,1,2,1] => 1023
[3,4,7,1,2,5,8,6] => 0010001 => [2,1,3,1] => 262
[3,1,4,2,7,8,5,6] => 1010010 => [1,1,1,2,1,1] => 1006
[3,4,1,2,7,8,5,6] => 0100010 => [1,1,3,1,1] => 439
[3,1,4,7,2,8,5,6] => 1001010 => [1,2,1,1,1,1] => 969
[3,4,7,1,8,2,5,6] => 0010100 => [2,1,1,1,2] => 603
[3,4,7,8,1,2,5,6] => 0001000 => [3,1,3] => 110
[3,1,4,2,7,5,6,8] => 1010100 => [1,1,1,1,1,2] => 1023
[3,4,1,2,7,5,6,8] => 0100100 => [1,1,2,1,2] => 611
[3,4,1,2,5,7,6,8] => 0100010 => [1,1,3,1,1] => 439
[3,1,4,5,2,7,6,8] => 1001010 => [1,2,1,1,1,1] => 969
[3,4,1,5,2,7,6,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,4,1,5,7,2,6,8] => 0100100 => [1,1,2,1,2] => 611
[3,4,5,7,1,2,6,8] => 0001000 => [3,1,3] => 110
[3,1,4,2,5,7,8,6] => 1010001 => [1,1,1,3,1] => 450
[3,4,1,2,5,7,8,6] => 0100001 => [1,1,4,1] => 148
[3,1,4,5,2,7,8,6] => 1001001 => [1,2,1,2,1] => 603
[3,4,5,1,2,7,8,6] => 0010001 => [2,1,3,1] => 262
[3,1,4,5,7,2,8,6] => 1000101 => [1,3,1,1,1] => 427
[3,4,1,5,7,2,8,6] => 0100101 => [1,1,2,1,1,1] => 984
[3,4,5,7,1,2,8,6] => 0001001 => [3,1,2,1] => 259
[3,1,4,5,7,8,2,6] => 1000010 => [1,4,1,1] => 145
[3,4,1,5,7,8,2,6] => 0100010 => [1,1,3,1,1] => 439
[3,4,5,1,7,8,2,6] => 0010010 => [2,1,2,1,1] => 594
[3,4,5,7,1,8,2,6] => 0001010 => [3,1,1,1,1] => 427
[3,4,5,7,8,1,2,6] => 0000100 => [4,1,2] => 85
[3,1,4,2,8,5,6,7] => 1010100 => [1,1,1,1,1,2] => 1023
[3,4,1,2,8,5,6,7] => 0100100 => [1,1,2,1,2] => 611
[3,1,4,8,2,5,6,7] => 1001000 => [1,2,1,3] => 262
[3,4,1,8,2,5,6,7] => 0101000 => [1,1,1,1,3] => 450
[3,4,8,1,2,5,6,7] => 0010000 => [2,1,4] => 85
[3,1,4,2,5,8,6,7] => 1010010 => [1,1,1,2,1,1] => 1006
[3,4,1,2,5,8,6,7] => 0100010 => [1,1,3,1,1] => 439
[3,4,1,5,2,8,6,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,4,5,1,2,8,6,7] => 0010010 => [2,1,2,1,1] => 594
[3,1,4,5,8,2,6,7] => 1000100 => [1,3,1,2] => 259
[3,4,1,5,8,2,6,7] => 0100100 => [1,1,2,1,2] => 611
[3,4,5,8,1,2,6,7] => 0001000 => [3,1,3] => 110
[3,4,1,2,5,6,8,7] => 0100001 => [1,1,4,1] => 148
[3,4,5,1,2,6,8,7] => 0010001 => [2,1,3,1] => 262
[3,1,4,5,6,2,8,7] => 1000101 => [1,3,1,1,1] => 427
[3,4,1,5,6,2,8,7] => 0100101 => [1,1,2,1,1,1] => 984
[3,4,5,1,6,2,8,7] => 0010101 => [2,1,1,1,1,1] => 969
[3,4,5,6,1,2,8,7] => 0001001 => [3,1,2,1] => 259
[3,1,4,5,6,8,2,7] => 1000010 => [1,4,1,1] => 145
[3,4,1,5,6,8,2,7] => 0100010 => [1,1,3,1,1] => 439
[3,4,5,6,1,8,2,7] => 0001010 => [3,1,1,1,1] => 427
[3,4,5,6,8,1,2,7] => 0000100 => [4,1,2] => 85
[3,1,4,2,5,6,7,8] => 1010000 => [1,1,1,4] => 148
[3,1,4,5,2,6,7,8] => 1001000 => [1,2,1,3] => 262
[3,4,1,5,2,6,7,8] => 0101000 => [1,1,1,1,3] => 450
[3,1,4,5,6,2,7,8] => 1000100 => [1,3,1,2] => 259
[3,4,1,5,6,2,7,8] => 0100100 => [1,1,2,1,2] => 611
[3,4,5,1,6,2,7,8] => 0010100 => [2,1,1,1,2] => 603
[3,1,4,5,6,7,2,8] => 1000010 => [1,4,1,1] => 145
[3,4,1,5,6,7,2,8] => 0100010 => [1,1,3,1,1] => 439
[3,4,5,1,6,7,2,8] => 0010010 => [2,1,2,1,1] => 594
[3,4,5,6,1,7,2,8] => 0001010 => [3,1,1,1,1] => 427
[3,1,4,5,6,7,8,2] => 1000001 => [1,5,1] => 37
[3,4,1,5,6,7,8,2] => 0100001 => [1,1,4,1] => 148
[3,4,5,1,6,7,8,2] => 0010001 => [2,1,3,1] => 262
[3,4,5,6,1,7,8,2] => 0001001 => [3,1,2,1] => 259
[3,4,5,6,7,1,8,2] => 0000101 => [4,1,1,1] => 145
[3,1,5,2,6,4,8,7] => 1010101 => [1,1,1,1,1,1,1] => 1623
[3,5,1,2,6,4,8,7] => 0100101 => [1,1,2,1,1,1] => 984
[3,1,5,6,2,4,8,7] => 1001001 => [1,2,1,2,1] => 603
[3,5,1,6,2,4,8,7] => 0101001 => [1,1,1,1,2,1] => 1023
[3,5,6,1,2,4,8,7] => 0010001 => [2,1,3,1] => 262
[3,1,5,2,6,8,4,7] => 1010010 => [1,1,1,2,1,1] => 1006
[3,5,1,2,6,8,4,7] => 0100010 => [1,1,3,1,1] => 439
[3,1,5,6,2,8,4,7] => 1001010 => [1,2,1,1,1,1] => 969
[3,5,6,1,2,8,4,7] => 0010010 => [2,1,2,1,1] => 594
[3,1,5,6,8,2,4,7] => 1000100 => [1,3,1,2] => 259
[3,5,1,6,8,2,4,7] => 0100100 => [1,1,2,1,2] => 611
[3,5,6,1,8,2,4,7] => 0010100 => [2,1,1,1,2] => 603
[3,5,6,8,1,2,4,7] => 0001000 => [3,1,3] => 110
[3,1,5,6,2,4,7,8] => 1001000 => [1,2,1,3] => 262
[3,5,1,6,2,4,7,8] => 0101000 => [1,1,1,1,3] => 450
[3,5,6,1,2,4,7,8] => 0010000 => [2,1,4] => 85
[3,5,1,2,6,7,4,8] => 0100010 => [1,1,3,1,1] => 439
[3,5,1,6,2,7,4,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,5,6,1,2,7,4,8] => 0010010 => [2,1,2,1,1] => 594
[3,5,1,6,7,2,4,8] => 0100100 => [1,1,2,1,2] => 611
[3,5,6,1,7,2,4,8] => 0010100 => [2,1,1,1,2] => 603
[3,5,6,7,1,2,4,8] => 0001000 => [3,1,3] => 110
[3,1,5,2,6,7,8,4] => 1010001 => [1,1,1,3,1] => 450
[3,5,1,2,6,7,8,4] => 0100001 => [1,1,4,1] => 148
[3,1,5,6,2,7,8,4] => 1001001 => [1,2,1,2,1] => 603
[3,5,1,6,2,7,8,4] => 0101001 => [1,1,1,1,2,1] => 1023
[3,5,6,1,2,7,8,4] => 0010001 => [2,1,3,1] => 262
[3,1,5,6,7,2,8,4] => 1000101 => [1,3,1,1,1] => 427
[3,5,1,6,7,2,8,4] => 0100101 => [1,1,2,1,1,1] => 984
[3,5,6,1,7,2,8,4] => 0010101 => [2,1,1,1,1,1] => 969
[3,5,6,7,1,2,8,4] => 0001001 => [3,1,2,1] => 259
[3,1,5,6,7,8,2,4] => 1000010 => [1,4,1,1] => 145
[3,5,1,6,7,8,2,4] => 0100010 => [1,1,3,1,1] => 439
[3,5,6,1,7,8,2,4] => 0010010 => [2,1,2,1,1] => 594
[3,5,6,7,1,8,2,4] => 0001010 => [3,1,1,1,1] => 427
[3,5,6,7,8,1,2,4] => 0000100 => [4,1,2] => 85
[3,1,5,2,7,4,8,6] => 1010101 => [1,1,1,1,1,1,1] => 1623
[3,5,1,2,7,4,8,6] => 0100101 => [1,1,2,1,1,1] => 984
[3,1,5,7,2,4,8,6] => 1001001 => [1,2,1,2,1] => 603
[3,5,1,7,2,4,8,6] => 0101001 => [1,1,1,1,2,1] => 1023
[3,5,7,1,2,4,8,6] => 0010001 => [2,1,3,1] => 262
[3,1,5,2,7,8,4,6] => 1010010 => [1,1,1,2,1,1] => 1006
[3,5,1,2,7,8,4,6] => 0100010 => [1,1,3,1,1] => 439
[3,1,5,7,2,8,4,6] => 1001010 => [1,2,1,1,1,1] => 969
[3,5,1,7,2,8,4,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,1,5,7,8,2,4,6] => 1000100 => [1,3,1,2] => 259
[3,5,1,7,8,2,4,6] => 0100100 => [1,1,2,1,2] => 611
[3,5,7,8,1,2,4,6] => 0001000 => [3,1,3] => 110
[3,1,5,2,7,4,6,8] => 1010100 => [1,1,1,1,1,2] => 1023
[3,5,1,2,7,4,6,8] => 0100100 => [1,1,2,1,2] => 611
[3,1,5,7,2,4,6,8] => 1001000 => [1,2,1,3] => 262
[3,5,1,7,2,4,6,8] => 0101000 => [1,1,1,1,3] => 450
[3,5,7,1,2,4,6,8] => 0010000 => [2,1,4] => 85
[3,1,5,2,4,7,6,8] => 1010010 => [1,1,1,2,1,1] => 1006
[3,5,1,2,4,7,6,8] => 0100010 => [1,1,3,1,1] => 439
[3,1,2,5,4,7,6,8] => 1001010 => [1,2,1,1,1,1] => 969
[1,3,5,2,4,7,6,8] => 0010010 => [2,1,2,1,1] => 594
[3,1,2,5,7,4,6,8] => 1000100 => [1,3,1,2] => 259
[1,3,2,5,7,4,6,8] => 0100100 => [1,1,2,1,2] => 611
[1,3,5,2,7,4,6,8] => 0010100 => [2,1,1,1,2] => 603
[1,3,5,7,2,4,6,8] => 0001000 => [3,1,3] => 110
[3,1,5,2,4,7,8,6] => 1010001 => [1,1,1,3,1] => 450
[3,5,1,2,4,7,8,6] => 0100001 => [1,1,4,1] => 148
[1,3,5,2,4,7,8,6] => 0010001 => [2,1,3,1] => 262
[3,1,2,5,7,4,8,6] => 1000101 => [1,3,1,1,1] => 427
[1,3,2,5,7,4,8,6] => 0100101 => [1,1,2,1,1,1] => 984
[1,3,5,2,7,4,8,6] => 0010101 => [2,1,1,1,1,1] => 969
[1,3,5,7,2,4,8,6] => 0001001 => [3,1,2,1] => 259
[3,1,2,5,7,8,4,6] => 1000010 => [1,4,1,1] => 145
[1,3,2,5,7,8,4,6] => 0100010 => [1,1,3,1,1] => 439
[1,3,5,2,7,8,4,6] => 0010010 => [2,1,2,1,1] => 594
[1,3,5,7,2,8,4,6] => 0001010 => [3,1,1,1,1] => 427
[1,3,5,7,8,2,4,6] => 0000100 => [4,1,2] => 85
[3,1,5,2,8,4,6,7] => 1010100 => [1,1,1,1,1,2] => 1023
[3,5,1,2,8,4,6,7] => 0100100 => [1,1,2,1,2] => 611
[3,1,5,8,2,4,6,7] => 1001000 => [1,2,1,3] => 262
[3,5,1,8,2,4,6,7] => 0101000 => [1,1,1,1,3] => 450
[3,1,5,2,4,8,6,7] => 1010010 => [1,1,1,2,1,1] => 1006
[3,5,1,2,4,8,6,7] => 0100010 => [1,1,3,1,1] => 439
[1,3,2,5,4,8,6,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,3,5,2,4,8,6,7] => 0010010 => [2,1,2,1,1] => 594
[3,1,2,5,8,4,6,7] => 1000100 => [1,3,1,2] => 259
[1,3,2,5,8,4,6,7] => 0100100 => [1,1,2,1,2] => 611
[1,3,5,2,8,4,6,7] => 0010100 => [2,1,1,1,2] => 603
[1,3,5,8,2,4,6,7] => 0001000 => [3,1,3] => 110
[3,1,5,2,4,6,8,7] => 1010001 => [1,1,1,3,1] => 450
[3,5,1,2,4,6,8,7] => 0100001 => [1,1,4,1] => 148
[3,1,2,5,4,6,8,7] => 1001001 => [1,2,1,2,1] => 603
[1,3,5,2,4,6,8,7] => 0010001 => [2,1,3,1] => 262
[1,3,5,6,2,4,8,7] => 0001001 => [3,1,2,1] => 259
[3,1,2,5,6,8,4,7] => 1000010 => [1,4,1,1] => 145
[1,3,5,2,6,8,4,7] => 0010010 => [2,1,2,1,1] => 594
[1,3,5,6,2,8,4,7] => 0001010 => [3,1,1,1,1] => 427
[1,3,5,6,8,2,4,7] => 0000100 => [4,1,2] => 85
[3,1,5,2,4,6,7,8] => 1010000 => [1,1,1,4] => 148
[3,5,1,2,4,6,7,8] => 0100000 => [1,1,5] => 37
[1,3,5,2,4,6,7,8] => 0010000 => [2,1,4] => 85
[3,1,2,5,6,4,7,8] => 1000100 => [1,3,1,2] => 259
[1,3,5,2,6,4,7,8] => 0010100 => [2,1,1,1,2] => 603
[1,3,5,6,2,4,7,8] => 0001000 => [3,1,3] => 110
[3,1,2,5,6,7,4,8] => 1000010 => [1,4,1,1] => 145
[1,3,5,2,6,7,4,8] => 0010010 => [2,1,2,1,1] => 594
[1,3,5,6,2,7,4,8] => 0001010 => [3,1,1,1,1] => 427
[1,3,5,6,7,2,4,8] => 0000100 => [4,1,2] => 85
[3,1,2,5,6,7,8,4] => 1000001 => [1,5,1] => 37
[1,3,5,2,6,7,8,4] => 0010001 => [2,1,3,1] => 262
[1,3,5,6,2,7,8,4] => 0001001 => [3,1,2,1] => 259
[1,3,5,6,7,2,8,4] => 0000101 => [4,1,1,1] => 145
[1,3,5,6,7,8,2,4] => 0000010 => [5,1,1] => 37
[3,1,6,2,7,4,8,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[3,6,1,2,7,4,8,5] => 0100101 => [1,1,2,1,1,1] => 984
[3,6,1,7,2,4,8,5] => 0101001 => [1,1,1,1,2,1] => 1023
[3,6,7,1,2,4,8,5] => 0010001 => [2,1,3,1] => 262
[3,6,1,2,7,8,4,5] => 0100010 => [1,1,3,1,1] => 439
[3,1,6,7,2,8,4,5] => 1001010 => [1,2,1,1,1,1] => 969
[3,6,1,7,2,8,4,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,6,7,1,2,8,4,5] => 0010010 => [2,1,2,1,1] => 594
[3,6,1,7,8,2,4,5] => 0100100 => [1,1,2,1,2] => 611
[3,6,7,8,1,2,4,5] => 0001000 => [3,1,3] => 110
[3,1,6,2,7,4,5,8] => 1010100 => [1,1,1,1,1,2] => 1023
[3,1,6,7,2,4,5,8] => 1001000 => [1,2,1,3] => 262
[3,6,7,1,2,4,5,8] => 0010000 => [2,1,4] => 85
[3,1,6,2,4,7,5,8] => 1010010 => [1,1,1,2,1,1] => 1006
[3,6,1,2,4,7,5,8] => 0100010 => [1,1,3,1,1] => 439
[3,1,2,6,4,7,5,8] => 1001010 => [1,2,1,1,1,1] => 969
[1,3,2,6,4,7,5,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,3,6,2,4,7,5,8] => 0010010 => [2,1,2,1,1] => 594
[1,3,2,6,7,4,5,8] => 0100100 => [1,1,2,1,2] => 611
[1,3,6,2,7,4,5,8] => 0010100 => [2,1,1,1,2] => 603
[3,1,6,2,4,7,8,5] => 1010001 => [1,1,1,3,1] => 450
[3,6,1,2,4,7,8,5] => 0100001 => [1,1,4,1] => 148
[3,1,2,6,4,7,8,5] => 1001001 => [1,2,1,2,1] => 603
[1,3,2,6,4,7,8,5] => 0101001 => [1,1,1,1,2,1] => 1023
[1,3,6,2,4,7,8,5] => 0010001 => [2,1,3,1] => 262
[3,1,2,6,7,4,8,5] => 1000101 => [1,3,1,1,1] => 427
[1,3,2,6,7,4,8,5] => 0100101 => [1,1,2,1,1,1] => 984
[1,3,6,2,7,4,8,5] => 0010101 => [2,1,1,1,1,1] => 969
[3,1,2,6,7,8,4,5] => 1000010 => [1,4,1,1] => 145
[1,3,2,6,7,8,4,5] => 0100010 => [1,1,3,1,1] => 439
[1,3,6,2,7,8,4,5] => 0010010 => [2,1,2,1,1] => 594
[1,3,6,7,8,2,4,5] => 0000100 => [4,1,2] => 85
[3,1,6,2,8,4,5,7] => 1010100 => [1,1,1,1,1,2] => 1023
[3,1,6,8,2,4,5,7] => 1001000 => [1,2,1,3] => 262
[3,6,1,8,2,4,5,7] => 0101000 => [1,1,1,1,3] => 450
[3,6,8,1,2,4,5,7] => 0010000 => [2,1,4] => 85
[3,1,6,2,4,8,5,7] => 1010010 => [1,1,1,2,1,1] => 1006
[3,6,1,2,4,8,5,7] => 0100010 => [1,1,3,1,1] => 439
[1,3,2,6,4,8,5,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,3,6,2,4,8,5,7] => 0010010 => [2,1,2,1,1] => 594
[3,1,2,6,8,4,5,7] => 1000100 => [1,3,1,2] => 259
[1,3,2,6,8,4,5,7] => 0100100 => [1,1,2,1,2] => 611
[3,1,6,2,4,5,8,7] => 1010001 => [1,1,1,3,1] => 450
[3,6,1,2,4,5,8,7] => 0100001 => [1,1,4,1] => 148
[3,1,2,6,4,5,8,7] => 1001001 => [1,2,1,2,1] => 603
[1,3,6,2,4,5,8,7] => 0010001 => [2,1,3,1] => 262
[3,1,2,4,6,5,8,7] => 1000101 => [1,3,1,1,1] => 427
[1,3,4,6,2,5,8,7] => 0001001 => [3,1,2,1] => 259
[3,1,2,4,6,8,5,7] => 1000010 => [1,4,1,1] => 145
[1,3,2,4,6,8,5,7] => 0100010 => [1,1,3,1,1] => 439
[1,3,4,6,8,2,5,7] => 0000100 => [4,1,2] => 85
[3,1,6,2,4,5,7,8] => 1010000 => [1,1,1,4] => 148
[3,6,1,2,4,5,7,8] => 0100000 => [1,1,5] => 37
[1,3,2,6,4,5,7,8] => 0101000 => [1,1,1,1,3] => 450
[1,3,6,2,4,5,7,8] => 0010000 => [2,1,4] => 85
[1,3,4,6,2,5,7,8] => 0001000 => [3,1,3] => 110
[3,1,2,4,6,7,5,8] => 1000010 => [1,4,1,1] => 145
[1,3,4,6,2,7,5,8] => 0001010 => [3,1,1,1,1] => 427
[1,3,4,6,7,2,5,8] => 0000100 => [4,1,2] => 85
[3,1,2,4,6,7,8,5] => 1000001 => [1,5,1] => 37
[1,3,4,6,7,2,8,5] => 0000101 => [4,1,1,1] => 145
[1,3,4,6,7,8,2,5] => 0000010 => [5,1,1] => 37
[3,1,7,2,8,4,5,6] => 1010100 => [1,1,1,1,1,2] => 1023
[3,7,1,2,8,4,5,6] => 0100100 => [1,1,2,1,2] => 611
[3,1,7,8,2,4,5,6] => 1001000 => [1,2,1,3] => 262
[3,7,1,8,2,4,5,6] => 0101000 => [1,1,1,1,3] => 450
[3,7,8,1,2,4,5,6] => 0010000 => [2,1,4] => 85
[3,7,1,2,4,8,5,6] => 0100010 => [1,1,3,1,1] => 439
[3,1,2,7,4,8,5,6] => 1001010 => [1,2,1,1,1,1] => 969
[1,3,2,7,4,8,5,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,3,7,2,4,8,5,6] => 0010010 => [2,1,2,1,1] => 594
[3,1,2,7,8,4,5,6] => 1000100 => [1,3,1,2] => 259
[1,3,7,2,8,4,5,6] => 0010100 => [2,1,1,1,2] => 603
[1,3,7,8,2,4,5,6] => 0001000 => [3,1,3] => 110
[3,1,7,2,4,5,8,6] => 1010001 => [1,1,1,3,1] => 450
[3,7,1,2,4,5,8,6] => 0100001 => [1,1,4,1] => 148
[1,3,7,2,4,5,8,6] => 0010001 => [2,1,3,1] => 262
[3,1,2,4,7,5,8,6] => 1000101 => [1,3,1,1,1] => 427
[1,3,2,4,7,5,8,6] => 0100101 => [1,1,2,1,1,1] => 984
[1,3,4,2,7,5,8,6] => 0010101 => [2,1,1,1,1,1] => 969
[3,1,2,4,7,8,5,6] => 1000010 => [1,4,1,1] => 145
[1,3,2,4,7,8,5,6] => 0100010 => [1,1,3,1,1] => 439
[1,3,4,2,7,8,5,6] => 0010010 => [2,1,2,1,1] => 594
[1,3,4,7,8,2,5,6] => 0000100 => [4,1,2] => 85
[3,1,7,2,4,5,6,8] => 1010000 => [1,1,1,4] => 148
[3,7,1,2,4,5,6,8] => 0100000 => [1,1,5] => 37
[1,3,2,7,4,5,6,8] => 0101000 => [1,1,1,1,3] => 450
[1,3,7,2,4,5,6,8] => 0010000 => [2,1,4] => 85
[3,1,2,4,7,5,6,8] => 1000100 => [1,3,1,2] => 259
[1,3,4,7,2,5,6,8] => 0001000 => [3,1,3] => 110
[3,1,2,4,5,7,6,8] => 1000010 => [1,4,1,1] => 145
[1,3,4,5,7,2,6,8] => 0000100 => [4,1,2] => 85
[3,1,2,4,5,7,8,6] => 1000001 => [1,5,1] => 37
[1,3,4,5,7,2,8,6] => 0000101 => [4,1,1,1] => 145
[1,3,4,5,7,8,2,6] => 0000010 => [5,1,1] => 37
[3,1,8,2,4,5,6,7] => 1010000 => [1,1,1,4] => 148
[3,8,1,2,4,5,6,7] => 0100000 => [1,1,5] => 37
[3,1,2,8,4,5,6,7] => 1001000 => [1,2,1,3] => 262
[1,3,2,8,4,5,6,7] => 0101000 => [1,1,1,1,3] => 450
[1,3,8,2,4,5,6,7] => 0010000 => [2,1,4] => 85
[3,1,2,4,8,5,6,7] => 1000100 => [1,3,1,2] => 259
[1,3,2,4,8,5,6,7] => 0100100 => [1,1,2,1,2] => 611
[1,3,4,2,8,5,6,7] => 0010100 => [2,1,1,1,2] => 603
[1,3,4,8,2,5,6,7] => 0001000 => [3,1,3] => 110
[3,1,2,4,5,8,6,7] => 1000010 => [1,4,1,1] => 145
[1,3,2,4,5,8,6,7] => 0100010 => [1,1,3,1,1] => 439
[1,3,4,2,5,8,6,7] => 0010010 => [2,1,2,1,1] => 594
[1,3,4,5,2,8,6,7] => 0001010 => [3,1,1,1,1] => 427
[1,3,4,5,8,2,6,7] => 0000100 => [4,1,2] => 85
[3,1,2,4,5,6,8,7] => 1000001 => [1,5,1] => 37
[1,3,4,5,6,8,2,7] => 0000010 => [5,1,1] => 37
[4,1,5,2,6,3,8,7] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,5,1,2,6,3,8,7] => 0100101 => [1,1,2,1,1,1] => 984
[4,1,5,6,2,3,8,7] => 1001001 => [1,2,1,2,1] => 603
[4,5,1,6,2,3,8,7] => 0101001 => [1,1,1,1,2,1] => 1023
[4,5,6,1,2,3,8,7] => 0010001 => [2,1,3,1] => 262
[4,1,5,2,6,8,3,7] => 1010010 => [1,1,1,2,1,1] => 1006
[4,5,1,2,6,8,3,7] => 0100010 => [1,1,3,1,1] => 439
[4,1,5,6,2,8,3,7] => 1001010 => [1,2,1,1,1,1] => 969
[4,5,1,6,2,8,3,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,5,6,1,2,8,3,7] => 0010010 => [2,1,2,1,1] => 594
[4,1,5,6,8,2,3,7] => 1000100 => [1,3,1,2] => 259
[4,5,1,6,8,2,3,7] => 0100100 => [1,1,2,1,2] => 611
[4,5,6,1,8,2,3,7] => 0010100 => [2,1,1,1,2] => 603
[4,5,6,8,1,2,3,7] => 0001000 => [3,1,3] => 110
[4,1,5,2,6,3,7,8] => 1010100 => [1,1,1,1,1,2] => 1023
[4,1,5,6,2,3,7,8] => 1001000 => [1,2,1,3] => 262
[4,5,1,6,2,3,7,8] => 0101000 => [1,1,1,1,3] => 450
[4,5,1,2,6,7,3,8] => 0100010 => [1,1,3,1,1] => 439
[4,5,1,6,2,7,3,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,5,6,1,2,7,3,8] => 0010010 => [2,1,2,1,1] => 594
[4,1,5,6,7,2,3,8] => 1000100 => [1,3,1,2] => 259
[4,5,1,6,7,2,3,8] => 0100100 => [1,1,2,1,2] => 611
[4,5,6,1,7,2,3,8] => 0010100 => [2,1,1,1,2] => 603
[4,1,5,2,6,7,8,3] => 1010001 => [1,1,1,3,1] => 450
[4,5,1,2,6,7,8,3] => 0100001 => [1,1,4,1] => 148
[4,5,1,6,2,7,8,3] => 0101001 => [1,1,1,1,2,1] => 1023
[4,5,6,1,2,7,8,3] => 0010001 => [2,1,3,1] => 262
[4,1,5,6,7,2,8,3] => 1000101 => [1,3,1,1,1] => 427
[4,5,1,6,7,2,8,3] => 0100101 => [1,1,2,1,1,1] => 984
[4,5,6,1,7,2,8,3] => 0010101 => [2,1,1,1,1,1] => 969
[4,5,6,7,1,2,8,3] => 0001001 => [3,1,2,1] => 259
[4,1,5,6,7,8,2,3] => 1000010 => [1,4,1,1] => 145
[4,5,1,6,7,8,2,3] => 0100010 => [1,1,3,1,1] => 439
[4,5,6,1,7,8,2,3] => 0010010 => [2,1,2,1,1] => 594
[4,5,6,7,1,8,2,3] => 0001010 => [3,1,1,1,1] => 427
[4,1,5,2,7,3,8,6] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,5,1,7,2,3,8,6] => 0101001 => [1,1,1,1,2,1] => 1023
[4,5,7,1,2,3,8,6] => 0010001 => [2,1,3,1] => 262
[4,1,5,2,7,8,3,6] => 1010010 => [1,1,1,2,1,1] => 1006
[4,5,1,2,7,8,3,6] => 0100010 => [1,1,3,1,1] => 439
[4,1,5,7,2,8,3,6] => 1001010 => [1,2,1,1,1,1] => 969
[4,5,1,7,2,8,3,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,5,7,1,2,8,3,6] => 0010010 => [2,1,2,1,1] => 594
[4,5,1,7,8,2,3,6] => 0100100 => [1,1,2,1,2] => 611
[4,5,7,8,1,2,3,6] => 0001000 => [3,1,3] => 110
[4,1,5,2,7,3,6,8] => 1010100 => [1,1,1,1,1,2] => 1023
[4,5,1,2,7,3,6,8] => 0100100 => [1,1,2,1,2] => 611
[4,1,5,7,2,3,6,8] => 1001000 => [1,2,1,3] => 262
[4,5,1,7,2,3,6,8] => 0101000 => [1,1,1,1,3] => 450
[4,1,5,2,3,7,6,8] => 1010010 => [1,1,1,2,1,1] => 1006
[4,5,1,2,3,7,6,8] => 0100010 => [1,1,3,1,1] => 439
[4,1,2,5,3,7,6,8] => 1001010 => [1,2,1,1,1,1] => 969
[1,4,2,5,3,7,6,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,4,5,2,3,7,6,8] => 0010010 => [2,1,2,1,1] => 594
[4,1,2,5,7,3,6,8] => 1000100 => [1,3,1,2] => 259
[1,4,2,5,7,3,6,8] => 0100100 => [1,1,2,1,2] => 611
[1,4,5,2,7,3,6,8] => 0010100 => [2,1,1,1,2] => 603
[1,4,5,7,2,3,6,8] => 0001000 => [3,1,3] => 110
[4,1,5,2,3,7,8,6] => 1010001 => [1,1,1,3,1] => 450
[4,1,2,5,3,7,8,6] => 1001001 => [1,2,1,2,1] => 603
[1,4,2,5,3,7,8,6] => 0101001 => [1,1,1,1,2,1] => 1023
[1,4,5,2,3,7,8,6] => 0010001 => [2,1,3,1] => 262
[4,1,2,5,7,3,8,6] => 1000101 => [1,3,1,1,1] => 427
[1,4,2,5,7,3,8,6] => 0100101 => [1,1,2,1,1,1] => 984
[1,4,5,2,7,3,8,6] => 0010101 => [2,1,1,1,1,1] => 969
[1,4,5,7,2,3,8,6] => 0001001 => [3,1,2,1] => 259
[4,1,2,5,7,8,3,6] => 1000010 => [1,4,1,1] => 145
[1,4,2,5,7,8,3,6] => 0100010 => [1,1,3,1,1] => 439
[1,4,5,2,7,8,3,6] => 0010010 => [2,1,2,1,1] => 594
[1,4,5,7,8,2,3,6] => 0000100 => [4,1,2] => 85
[4,1,5,2,8,3,6,7] => 1010100 => [1,1,1,1,1,2] => 1023
[4,5,1,2,8,3,6,7] => 0100100 => [1,1,2,1,2] => 611
[4,1,5,8,2,3,6,7] => 1001000 => [1,2,1,3] => 262
[4,5,1,8,2,3,6,7] => 0101000 => [1,1,1,1,3] => 450
[4,5,8,1,2,3,6,7] => 0010000 => [2,1,4] => 85
[4,1,5,2,3,8,6,7] => 1010010 => [1,1,1,2,1,1] => 1006
[4,5,1,2,3,8,6,7] => 0100010 => [1,1,3,1,1] => 439
[4,1,2,5,3,8,6,7] => 1001010 => [1,2,1,1,1,1] => 969
[1,4,2,5,3,8,6,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,4,5,2,3,8,6,7] => 0010010 => [2,1,2,1,1] => 594
[4,1,2,5,8,3,6,7] => 1000100 => [1,3,1,2] => 259
[1,4,2,5,8,3,6,7] => 0100100 => [1,1,2,1,2] => 611
[1,4,5,2,8,3,6,7] => 0010100 => [2,1,1,1,2] => 603
[1,4,5,8,2,3,6,7] => 0001000 => [3,1,3] => 110
[1,4,2,5,3,6,8,7] => 0101001 => [1,1,1,1,2,1] => 1023
[4,1,2,5,6,3,8,7] => 1000101 => [1,3,1,1,1] => 427
[1,4,5,2,6,3,8,7] => 0010101 => [2,1,1,1,1,1] => 969
[1,4,5,6,2,3,8,7] => 0001001 => [3,1,2,1] => 259
[4,1,2,5,6,8,3,7] => 1000010 => [1,4,1,1] => 145
[1,4,2,5,6,8,3,7] => 0100010 => [1,1,3,1,1] => 439
[1,4,5,2,6,8,3,7] => 0010010 => [2,1,2,1,1] => 594
[1,4,5,6,2,8,3,7] => 0001010 => [3,1,1,1,1] => 427
[1,4,5,6,8,2,3,7] => 0000100 => [4,1,2] => 85
[4,1,5,2,3,6,7,8] => 1010000 => [1,1,1,4] => 148
[4,1,2,5,3,6,7,8] => 1001000 => [1,2,1,3] => 262
[1,4,2,5,3,6,7,8] => 0101000 => [1,1,1,1,3] => 450
[1,4,5,2,3,6,7,8] => 0010000 => [2,1,4] => 85
[4,1,2,5,6,3,7,8] => 1000100 => [1,3,1,2] => 259
[1,4,5,2,6,3,7,8] => 0010100 => [2,1,1,1,2] => 603
[1,4,5,6,2,3,7,8] => 0001000 => [3,1,3] => 110
[4,1,2,5,6,7,3,8] => 1000010 => [1,4,1,1] => 145
[1,4,2,5,6,7,3,8] => 0100010 => [1,1,3,1,1] => 439
[1,4,5,2,6,7,3,8] => 0010010 => [2,1,2,1,1] => 594
[1,4,5,6,2,7,3,8] => 0001010 => [3,1,1,1,1] => 427
[1,4,5,6,7,2,3,8] => 0000100 => [4,1,2] => 85
[4,1,2,5,6,7,8,3] => 1000001 => [1,5,1] => 37
[1,4,2,5,6,7,8,3] => 0100001 => [1,1,4,1] => 148
[1,4,5,2,6,7,8,3] => 0010001 => [2,1,3,1] => 262
[1,4,5,6,2,7,8,3] => 0001001 => [3,1,2,1] => 259
[1,4,5,6,7,2,8,3] => 0000101 => [4,1,1,1] => 145
[1,4,5,6,7,8,2,3] => 0000010 => [5,1,1] => 37
[4,1,6,2,7,3,8,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,1,6,7,2,3,8,5] => 1001001 => [1,2,1,2,1] => 603
[4,6,7,1,2,3,8,5] => 0010001 => [2,1,3,1] => 262
[4,6,1,2,7,8,3,5] => 0100010 => [1,1,3,1,1] => 439
[4,6,1,7,2,8,3,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,6,7,1,2,8,3,5] => 0010010 => [2,1,2,1,1] => 594
[4,1,6,7,8,2,3,5] => 1000100 => [1,3,1,2] => 259
[4,6,1,7,8,2,3,5] => 0100100 => [1,1,2,1,2] => 611
[4,6,7,1,8,2,3,5] => 0010100 => [2,1,1,1,2] => 603
[4,6,7,8,1,2,3,5] => 0001000 => [3,1,3] => 110
[4,1,6,2,7,3,5,8] => 1010100 => [1,1,1,1,1,2] => 1023
[4,6,1,2,7,3,5,8] => 0100100 => [1,1,2,1,2] => 611
[4,1,6,7,2,3,5,8] => 1001000 => [1,2,1,3] => 262
[4,6,1,7,2,3,5,8] => 0101000 => [1,1,1,1,3] => 450
[4,6,7,1,2,3,5,8] => 0010000 => [2,1,4] => 85
[4,1,6,2,3,7,5,8] => 1010010 => [1,1,1,2,1,1] => 1006
[4,6,1,2,3,7,5,8] => 0100010 => [1,1,3,1,1] => 439
[4,1,2,6,3,7,5,8] => 1001010 => [1,2,1,1,1,1] => 969
[1,4,2,6,3,7,5,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,1,2,6,7,3,5,8] => 1000100 => [1,3,1,2] => 259
[1,4,2,6,7,3,5,8] => 0100100 => [1,1,2,1,2] => 611
[1,4,6,2,7,3,5,8] => 0010100 => [2,1,1,1,2] => 603
[1,4,6,7,2,3,5,8] => 0001000 => [3,1,3] => 110
[4,1,6,2,3,7,8,5] => 1010001 => [1,1,1,3,1] => 450
[4,1,2,6,3,7,8,5] => 1001001 => [1,2,1,2,1] => 603
[1,4,6,2,3,7,8,5] => 0010001 => [2,1,3,1] => 262
[4,1,2,6,7,3,8,5] => 1000101 => [1,3,1,1,1] => 427
[1,4,6,2,7,3,8,5] => 0010101 => [2,1,1,1,1,1] => 969
[1,4,6,7,2,3,8,5] => 0001001 => [3,1,2,1] => 259
[1,4,2,6,7,8,3,5] => 0100010 => [1,1,3,1,1] => 439
[1,4,6,2,7,8,3,5] => 0010010 => [2,1,2,1,1] => 594
[1,4,6,7,2,8,3,5] => 0001010 => [3,1,1,1,1] => 427
[1,4,6,7,8,2,3,5] => 0000100 => [4,1,2] => 85
[4,1,6,2,8,3,5,7] => 1010100 => [1,1,1,1,1,2] => 1023
[4,6,1,2,8,3,5,7] => 0100100 => [1,1,2,1,2] => 611
[4,1,6,8,2,3,5,7] => 1001000 => [1,2,1,3] => 262
[4,6,1,8,2,3,5,7] => 0101000 => [1,1,1,1,3] => 450
[4,6,8,1,2,3,5,7] => 0010000 => [2,1,4] => 85
[4,1,6,2,3,8,5,7] => 1010010 => [1,1,1,2,1,1] => 1006
[4,6,1,2,3,8,5,7] => 0100010 => [1,1,3,1,1] => 439
[4,1,2,6,3,8,5,7] => 1001010 => [1,2,1,1,1,1] => 969
[1,4,2,6,3,8,5,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,4,6,2,3,8,5,7] => 0010010 => [2,1,2,1,1] => 594
[1,4,2,6,8,3,5,7] => 0100100 => [1,1,2,1,2] => 611
[1,4,6,2,8,3,5,7] => 0010100 => [2,1,1,1,2] => 603
[1,4,6,8,2,3,5,7] => 0001000 => [3,1,3] => 110
[4,1,6,2,3,5,8,7] => 1010001 => [1,1,1,3,1] => 450
[4,6,1,2,3,5,8,7] => 0100001 => [1,1,4,1] => 148
[4,1,2,6,3,5,8,7] => 1001001 => [1,2,1,2,1] => 603
[1,4,2,6,3,5,8,7] => 0101001 => [1,1,1,1,2,1] => 1023
[1,4,6,2,3,5,8,7] => 0010001 => [2,1,3,1] => 262
[4,1,2,3,6,5,8,7] => 1000101 => [1,3,1,1,1] => 427
[1,4,2,3,6,5,8,7] => 0100101 => [1,1,2,1,1,1] => 984
[1,2,4,6,3,5,8,7] => 0001001 => [3,1,2,1] => 259
[4,1,2,3,6,8,5,7] => 1000010 => [1,4,1,1] => 145
[1,2,4,3,6,8,5,7] => 0010010 => [2,1,2,1,1] => 594
[1,2,4,6,8,3,5,7] => 0000100 => [4,1,2] => 85
[4,1,6,2,3,5,7,8] => 1010000 => [1,1,1,4] => 148
[4,6,1,2,3,5,7,8] => 0100000 => [1,1,5] => 37
[1,4,2,6,3,5,7,8] => 0101000 => [1,1,1,1,3] => 450
[1,4,6,2,3,5,7,8] => 0010000 => [2,1,4] => 85
[4,1,2,3,6,5,7,8] => 1000100 => [1,3,1,2] => 259
[1,4,2,3,6,5,7,8] => 0100100 => [1,1,2,1,2] => 611
[1,2,4,6,3,5,7,8] => 0001000 => [3,1,3] => 110
[4,1,2,3,6,7,5,8] => 1000010 => [1,4,1,1] => 145
[1,4,2,3,6,7,5,8] => 0100010 => [1,1,3,1,1] => 439
[1,2,4,6,7,3,5,8] => 0000100 => [4,1,2] => 85
[4,1,2,3,6,7,8,5] => 1000001 => [1,5,1] => 37
[1,4,2,3,6,7,8,5] => 0100001 => [1,1,4,1] => 148
[1,2,4,6,7,3,8,5] => 0000101 => [4,1,1,1] => 145
[1,2,4,6,7,8,3,5] => 0000010 => [5,1,1] => 37
[4,1,7,2,8,3,5,6] => 1010100 => [1,1,1,1,1,2] => 1023
[4,7,1,2,8,3,5,6] => 0100100 => [1,1,2,1,2] => 611
[4,1,7,8,2,3,5,6] => 1001000 => [1,2,1,3] => 262
[4,7,1,8,2,3,5,6] => 0101000 => [1,1,1,1,3] => 450
[4,7,8,1,2,3,5,6] => 0010000 => [2,1,4] => 85
[4,7,1,2,3,8,5,6] => 0100010 => [1,1,3,1,1] => 439
[1,4,2,7,3,8,5,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,4,7,2,3,8,5,6] => 0010010 => [2,1,2,1,1] => 594
[4,1,2,7,8,3,5,6] => 1000100 => [1,3,1,2] => 259
[1,4,2,7,8,3,5,6] => 0100100 => [1,1,2,1,2] => 611
[1,4,7,2,8,3,5,6] => 0010100 => [2,1,1,1,2] => 603
[1,4,7,8,2,3,5,6] => 0001000 => [3,1,3] => 110
[4,1,7,2,3,5,8,6] => 1010001 => [1,1,1,3,1] => 450
[4,7,1,2,3,5,8,6] => 0100001 => [1,1,4,1] => 148
[4,1,2,7,3,5,8,6] => 1001001 => [1,2,1,2,1] => 603
[1,4,2,7,3,5,8,6] => 0101001 => [1,1,1,1,2,1] => 1023
[1,4,7,2,3,5,8,6] => 0010001 => [2,1,3,1] => 262
[4,1,2,3,7,5,8,6] => 1000101 => [1,3,1,1,1] => 427
[1,4,2,3,7,5,8,6] => 0100101 => [1,1,2,1,1,1] => 984
[1,2,4,3,7,5,8,6] => 0010101 => [2,1,1,1,1,1] => 969
[1,2,4,7,3,5,8,6] => 0001001 => [3,1,2,1] => 259
[4,1,2,3,7,8,5,6] => 1000010 => [1,4,1,1] => 145
[1,4,2,3,7,8,5,6] => 0100010 => [1,1,3,1,1] => 439
[1,2,4,3,7,8,5,6] => 0010010 => [2,1,2,1,1] => 594
[1,2,4,7,3,8,5,6] => 0001010 => [3,1,1,1,1] => 427
[1,2,4,7,8,3,5,6] => 0000100 => [4,1,2] => 85
[4,1,7,2,3,5,6,8] => 1010000 => [1,1,1,4] => 148
[4,7,1,2,3,5,6,8] => 0100000 => [1,1,5] => 37
[4,1,2,7,3,5,6,8] => 1001000 => [1,2,1,3] => 262
[1,4,2,7,3,5,6,8] => 0101000 => [1,1,1,1,3] => 450
[1,4,7,2,3,5,6,8] => 0010000 => [2,1,4] => 85
[4,1,2,3,7,5,6,8] => 1000100 => [1,3,1,2] => 259
[1,4,2,3,7,5,6,8] => 0100100 => [1,1,2,1,2] => 611
[1,2,4,3,7,5,6,8] => 0010100 => [2,1,1,1,2] => 603
[1,2,4,7,3,5,6,8] => 0001000 => [3,1,3] => 110
[4,1,2,3,5,7,6,8] => 1000010 => [1,4,1,1] => 145
[1,4,2,3,5,7,6,8] => 0100010 => [1,1,3,1,1] => 439
[1,2,4,5,7,3,6,8] => 0000100 => [4,1,2] => 85
[4,1,2,3,5,7,8,6] => 1000001 => [1,5,1] => 37
[1,4,2,3,5,7,8,6] => 0100001 => [1,1,4,1] => 148
[1,2,4,5,7,3,8,6] => 0000101 => [4,1,1,1] => 145
[1,2,4,5,7,8,3,6] => 0000010 => [5,1,1] => 37
[4,1,8,2,3,5,6,7] => 1010000 => [1,1,1,4] => 148
[4,8,1,2,3,5,6,7] => 0100000 => [1,1,5] => 37
[4,1,2,8,3,5,6,7] => 1001000 => [1,2,1,3] => 262
[1,4,2,8,3,5,6,7] => 0101000 => [1,1,1,1,3] => 450
[1,4,8,2,3,5,6,7] => 0010000 => [2,1,4] => 85
[4,1,2,3,8,5,6,7] => 1000100 => [1,3,1,2] => 259
[1,4,2,3,8,5,6,7] => 0100100 => [1,1,2,1,2] => 611
[1,2,4,3,8,5,6,7] => 0010100 => [2,1,1,1,2] => 603
[1,2,4,8,3,5,6,7] => 0001000 => [3,1,3] => 110
[4,1,2,3,5,8,6,7] => 1000010 => [1,4,1,1] => 145
[1,4,2,3,5,8,6,7] => 0100010 => [1,1,3,1,1] => 439
[1,2,4,3,5,8,6,7] => 0010010 => [2,1,2,1,1] => 594
[1,2,4,5,3,8,6,7] => 0001010 => [3,1,1,1,1] => 427
[1,2,4,5,8,3,6,7] => 0000100 => [4,1,2] => 85
[4,1,2,3,5,6,8,7] => 1000001 => [1,5,1] => 37
[1,4,2,3,5,6,8,7] => 0100001 => [1,1,4,1] => 148
[1,2,4,5,6,8,3,7] => 0000010 => [5,1,1] => 37
[1,4,2,3,5,6,7,8] => 0100000 => [1,1,5] => 37
[5,1,6,2,7,3,8,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,6,1,2,7,3,8,4] => 0100101 => [1,1,2,1,1,1] => 984
[5,1,6,7,2,3,8,4] => 1001001 => [1,2,1,2,1] => 603
[5,6,1,7,2,3,8,4] => 0101001 => [1,1,1,1,2,1] => 1023
[5,6,7,1,2,3,8,4] => 0010001 => [2,1,3,1] => 262
[5,6,1,2,7,8,3,4] => 0100010 => [1,1,3,1,1] => 439
[5,1,6,7,2,8,3,4] => 1001010 => [1,2,1,1,1,1] => 969
[5,6,7,1,2,8,3,4] => 0010010 => [2,1,2,1,1] => 594
[5,1,6,7,8,2,3,4] => 1000100 => [1,3,1,2] => 259
[5,6,1,7,8,2,3,4] => 0100100 => [1,1,2,1,2] => 611
[5,6,7,1,8,2,3,4] => 0010100 => [2,1,1,1,2] => 603
[5,1,6,2,7,3,4,8] => 1010100 => [1,1,1,1,1,2] => 1023
[5,6,1,2,7,3,4,8] => 0100100 => [1,1,2,1,2] => 611
[5,6,1,7,2,3,4,8] => 0101000 => [1,1,1,1,3] => 450
[5,1,6,2,3,7,4,8] => 1010010 => [1,1,1,2,1,1] => 1006
[5,1,2,6,3,7,4,8] => 1001010 => [1,2,1,1,1,1] => 969
[1,5,2,6,3,7,4,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,1,2,6,7,3,4,8] => 1000100 => [1,3,1,2] => 259
[1,5,2,6,7,3,4,8] => 0100100 => [1,1,2,1,2] => 611
[1,5,6,2,7,3,4,8] => 0010100 => [2,1,1,1,2] => 603
[1,5,6,7,2,3,4,8] => 0001000 => [3,1,3] => 110
[5,1,6,2,3,7,8,4] => 1010001 => [1,1,1,3,1] => 450
[5,6,1,2,3,7,8,4] => 0100001 => [1,1,4,1] => 148
[5,1,2,6,3,7,8,4] => 1001001 => [1,2,1,2,1] => 603
[1,5,2,6,3,7,8,4] => 0101001 => [1,1,1,1,2,1] => 1023
[1,5,6,2,3,7,8,4] => 0010001 => [2,1,3,1] => 262
[5,1,2,6,7,3,8,4] => 1000101 => [1,3,1,1,1] => 427
[1,5,6,7,2,3,8,4] => 0001001 => [3,1,2,1] => 259
[5,1,2,6,7,8,3,4] => 1000010 => [1,4,1,1] => 145
[1,5,2,6,7,8,3,4] => 0100010 => [1,1,3,1,1] => 439
[1,5,6,2,7,8,3,4] => 0010010 => [2,1,2,1,1] => 594
[1,5,6,7,2,8,3,4] => 0001010 => [3,1,1,1,1] => 427
[1,5,6,7,8,2,3,4] => 0000100 => [4,1,2] => 85
[5,1,6,2,8,3,4,7] => 1010100 => [1,1,1,1,1,2] => 1023
[5,6,1,2,8,3,4,7] => 0100100 => [1,1,2,1,2] => 611
[5,6,1,8,2,3,4,7] => 0101000 => [1,1,1,1,3] => 450
[5,6,8,1,2,3,4,7] => 0010000 => [2,1,4] => 85
[5,1,6,2,3,8,4,7] => 1010010 => [1,1,1,2,1,1] => 1006
[5,6,1,2,3,8,4,7] => 0100010 => [1,1,3,1,1] => 439
[5,1,2,6,3,8,4,7] => 1001010 => [1,2,1,1,1,1] => 969
[1,5,2,6,3,8,4,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,5,6,2,3,8,4,7] => 0010010 => [2,1,2,1,1] => 594
[5,1,2,6,8,3,4,7] => 1000100 => [1,3,1,2] => 259
[1,5,2,6,8,3,4,7] => 0100100 => [1,1,2,1,2] => 611
[1,5,6,2,8,3,4,7] => 0010100 => [2,1,1,1,2] => 603
[1,5,6,8,2,3,4,7] => 0001000 => [3,1,3] => 110
[5,1,6,2,3,4,8,7] => 1010001 => [1,1,1,3,1] => 450
[5,6,1,2,3,4,8,7] => 0100001 => [1,1,4,1] => 148
[5,1,2,6,3,4,8,7] => 1001001 => [1,2,1,2,1] => 603
[1,5,2,6,3,4,8,7] => 0101001 => [1,1,1,1,2,1] => 1023
[1,5,6,2,3,4,8,7] => 0010001 => [2,1,3,1] => 262
[1,5,2,3,6,4,8,7] => 0100101 => [1,1,2,1,1,1] => 984
[1,2,5,3,6,4,8,7] => 0010101 => [2,1,1,1,1,1] => 969
[1,2,5,6,3,4,8,7] => 0001001 => [3,1,2,1] => 259
[5,1,2,3,6,8,4,7] => 1000010 => [1,4,1,1] => 145
[1,5,2,3,6,8,4,7] => 0100010 => [1,1,3,1,1] => 439
[1,2,5,6,3,8,4,7] => 0001010 => [3,1,1,1,1] => 427
[5,1,6,2,3,4,7,8] => 1010000 => [1,1,1,4] => 148
[5,1,2,6,3,4,7,8] => 1001000 => [1,2,1,3] => 262
[1,5,2,6,3,4,7,8] => 0101000 => [1,1,1,1,3] => 450
[1,5,6,2,3,4,7,8] => 0010000 => [2,1,4] => 85
[5,1,2,3,6,4,7,8] => 1000100 => [1,3,1,2] => 259
[1,5,2,3,6,4,7,8] => 0100100 => [1,1,2,1,2] => 611
[1,2,5,3,6,4,7,8] => 0010100 => [2,1,1,1,2] => 603
[1,2,5,6,3,4,7,8] => 0001000 => [3,1,3] => 110
[5,1,2,3,6,7,4,8] => 1000010 => [1,4,1,1] => 145
[1,5,2,3,6,7,4,8] => 0100010 => [1,1,3,1,1] => 439
[1,2,5,3,6,7,4,8] => 0010010 => [2,1,2,1,1] => 594
[1,2,5,6,3,7,4,8] => 0001010 => [3,1,1,1,1] => 427
[5,1,2,3,6,7,8,4] => 1000001 => [1,5,1] => 37
[1,5,2,3,6,7,8,4] => 0100001 => [1,1,4,1] => 148
[1,2,5,3,6,7,8,4] => 0010001 => [2,1,3,1] => 262
[1,2,5,6,3,7,8,4] => 0001001 => [3,1,2,1] => 259
[1,2,5,6,7,3,8,4] => 0000101 => [4,1,1,1] => 145
[1,2,5,6,7,8,3,4] => 0000010 => [5,1,1] => 37
[5,1,7,2,8,3,4,6] => 1010100 => [1,1,1,1,1,2] => 1023
[5,7,1,2,8,3,4,6] => 0100100 => [1,1,2,1,2] => 611
[5,1,7,8,2,3,4,6] => 1001000 => [1,2,1,3] => 262
[5,7,1,8,2,3,4,6] => 0101000 => [1,1,1,1,3] => 450
[5,7,8,1,2,3,4,6] => 0010000 => [2,1,4] => 85
[5,1,7,2,3,8,4,6] => 1010010 => [1,1,1,2,1,1] => 1006
[5,7,1,2,3,8,4,6] => 0100010 => [1,1,3,1,1] => 439
[5,1,2,7,3,8,4,6] => 1001010 => [1,2,1,1,1,1] => 969
[1,5,2,7,3,8,4,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,5,7,2,3,8,4,6] => 0010010 => [2,1,2,1,1] => 594
[5,1,2,7,8,3,4,6] => 1000100 => [1,3,1,2] => 259
[1,5,2,7,8,3,4,6] => 0100100 => [1,1,2,1,2] => 611
[1,5,7,2,8,3,4,6] => 0010100 => [2,1,1,1,2] => 603
[1,5,7,8,2,3,4,6] => 0001000 => [3,1,3] => 110
[5,1,7,2,3,4,8,6] => 1010001 => [1,1,1,3,1] => 450
[5,7,1,2,3,4,8,6] => 0100001 => [1,1,4,1] => 148
[5,1,2,7,3,4,8,6] => 1001001 => [1,2,1,2,1] => 603
[1,5,2,7,3,4,8,6] => 0101001 => [1,1,1,1,2,1] => 1023
[1,5,7,2,3,4,8,6] => 0010001 => [2,1,3,1] => 262
[5,1,2,3,7,4,8,6] => 1000101 => [1,3,1,1,1] => 427
[1,5,2,3,7,4,8,6] => 0100101 => [1,1,2,1,1,1] => 984
[1,2,5,3,7,4,8,6] => 0010101 => [2,1,1,1,1,1] => 969
[1,2,5,7,3,4,8,6] => 0001001 => [3,1,2,1] => 259
[5,1,2,3,7,8,4,6] => 1000010 => [1,4,1,1] => 145
[1,5,2,3,7,8,4,6] => 0100010 => [1,1,3,1,1] => 439
[1,2,5,7,3,8,4,6] => 0001010 => [3,1,1,1,1] => 427
[1,2,5,7,8,3,4,6] => 0000100 => [4,1,2] => 85
[5,7,1,2,3,4,6,8] => 0100000 => [1,1,5] => 37
[5,1,2,7,3,4,6,8] => 1001000 => [1,2,1,3] => 262
[1,5,2,7,3,4,6,8] => 0101000 => [1,1,1,1,3] => 450
[1,5,7,2,3,4,6,8] => 0010000 => [2,1,4] => 85
[1,5,2,3,7,4,6,8] => 0100100 => [1,1,2,1,2] => 611
[1,2,5,3,7,4,6,8] => 0010100 => [2,1,1,1,2] => 603
[1,2,5,7,3,4,6,8] => 0001000 => [3,1,3] => 110
[1,5,2,3,4,7,6,8] => 0100010 => [1,1,3,1,1] => 439
[1,2,5,3,4,7,6,8] => 0010010 => [2,1,2,1,1] => 594
[1,2,3,5,7,4,6,8] => 0000100 => [4,1,2] => 85
[5,1,2,3,4,7,8,6] => 1000001 => [1,5,1] => 37
[1,5,2,3,4,7,8,6] => 0100001 => [1,1,4,1] => 148
[1,2,5,3,4,7,8,6] => 0010001 => [2,1,3,1] => 262
[1,2,3,5,7,4,8,6] => 0000101 => [4,1,1,1] => 145
[1,2,3,5,7,8,4,6] => 0000010 => [5,1,1] => 37
[5,1,8,2,3,4,6,7] => 1010000 => [1,1,1,4] => 148
[5,8,1,2,3,4,6,7] => 0100000 => [1,1,5] => 37
[5,1,2,8,3,4,6,7] => 1001000 => [1,2,1,3] => 262
[1,5,2,8,3,4,6,7] => 0101000 => [1,1,1,1,3] => 450
[1,5,8,2,3,4,6,7] => 0010000 => [2,1,4] => 85
[5,1,2,3,8,4,6,7] => 1000100 => [1,3,1,2] => 259
[1,5,2,3,8,4,6,7] => 0100100 => [1,1,2,1,2] => 611
[1,2,5,3,8,4,6,7] => 0010100 => [2,1,1,1,2] => 603
[1,2,5,8,3,4,6,7] => 0001000 => [3,1,3] => 110
[5,1,2,3,4,8,6,7] => 1000010 => [1,4,1,1] => 145
[1,5,2,3,4,8,6,7] => 0100010 => [1,1,3,1,1] => 439
[1,2,5,3,4,8,6,7] => 0010010 => [2,1,2,1,1] => 594
[1,2,3,5,4,8,6,7] => 0001010 => [3,1,1,1,1] => 427
[1,2,3,5,8,4,6,7] => 0000100 => [4,1,2] => 85
[5,1,2,3,4,6,8,7] => 1000001 => [1,5,1] => 37
[1,5,2,3,4,6,8,7] => 0100001 => [1,1,4,1] => 148
[1,2,5,3,4,6,8,7] => 0010001 => [2,1,3,1] => 262
[1,2,3,5,6,8,4,7] => 0000010 => [5,1,1] => 37
[1,5,2,3,4,6,7,8] => 0100000 => [1,1,5] => 37
[1,2,5,3,4,6,7,8] => 0010000 => [2,1,4] => 85
[6,1,7,2,8,3,4,5] => 1010100 => [1,1,1,1,1,2] => 1023
[6,7,1,2,8,3,4,5] => 0100100 => [1,1,2,1,2] => 611
[6,1,7,8,2,3,4,5] => 1001000 => [1,2,1,3] => 262
[6,7,1,8,2,3,4,5] => 0101000 => [1,1,1,1,3] => 450
[6,1,7,2,3,8,4,5] => 1010010 => [1,1,1,2,1,1] => 1006
[6,7,1,2,3,8,4,5] => 0100010 => [1,1,3,1,1] => 439
[6,1,2,7,3,8,4,5] => 1001010 => [1,2,1,1,1,1] => 969
[1,6,2,7,3,8,4,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,6,7,2,3,8,4,5] => 0010010 => [2,1,2,1,1] => 594
[6,1,2,7,8,3,4,5] => 1000100 => [1,3,1,2] => 259
[1,6,2,7,8,3,4,5] => 0100100 => [1,1,2,1,2] => 611
[1,6,7,2,8,3,4,5] => 0010100 => [2,1,1,1,2] => 603
[1,6,7,8,2,3,4,5] => 0001000 => [3,1,3] => 110
[6,1,7,2,3,4,8,5] => 1010001 => [1,1,1,3,1] => 450
[6,7,1,2,3,4,8,5] => 0100001 => [1,1,4,1] => 148
[6,1,2,7,3,4,8,5] => 1001001 => [1,2,1,2,1] => 603
[1,6,2,7,3,4,8,5] => 0101001 => [1,1,1,1,2,1] => 1023
[1,6,7,2,3,4,8,5] => 0010001 => [2,1,3,1] => 262
[6,1,2,3,7,4,8,5] => 1000101 => [1,3,1,1,1] => 427
[1,6,2,3,7,4,8,5] => 0100101 => [1,1,2,1,1,1] => 984
[1,2,6,3,7,4,8,5] => 0010101 => [2,1,1,1,1,1] => 969
[6,1,2,3,7,8,4,5] => 1000010 => [1,4,1,1] => 145
[1,6,2,3,7,8,4,5] => 0100010 => [1,1,3,1,1] => 439
[1,2,6,3,7,8,4,5] => 0010010 => [2,1,2,1,1] => 594
[1,2,6,7,3,8,4,5] => 0001010 => [3,1,1,1,1] => 427
[1,2,6,7,8,3,4,5] => 0000100 => [4,1,2] => 85
[6,1,7,2,3,4,5,8] => 1010000 => [1,1,1,4] => 148
[6,1,2,7,3,4,5,8] => 1001000 => [1,2,1,3] => 262
[1,6,2,7,3,4,5,8] => 0101000 => [1,1,1,1,3] => 450
[1,6,7,2,3,4,5,8] => 0010000 => [2,1,4] => 85
[6,1,2,3,7,4,5,8] => 1000100 => [1,3,1,2] => 259
[1,6,2,3,7,4,5,8] => 0100100 => [1,1,2,1,2] => 611
[1,2,6,3,7,4,5,8] => 0010100 => [2,1,1,1,2] => 603
[1,2,6,7,3,4,5,8] => 0001000 => [3,1,3] => 110
[6,1,2,3,4,7,5,8] => 1000010 => [1,4,1,1] => 145
[1,6,2,3,4,7,5,8] => 0100010 => [1,1,3,1,1] => 439
[1,2,6,3,4,7,5,8] => 0010010 => [2,1,2,1,1] => 594
[1,2,3,6,4,7,5,8] => 0001010 => [3,1,1,1,1] => 427
[1,2,3,6,7,4,5,8] => 0000100 => [4,1,2] => 85
[6,1,2,3,4,7,8,5] => 1000001 => [1,5,1] => 37
[1,6,2,3,4,7,8,5] => 0100001 => [1,1,4,1] => 148
[1,2,6,3,4,7,8,5] => 0010001 => [2,1,3,1] => 262
[1,2,3,6,4,7,8,5] => 0001001 => [3,1,2,1] => 259
[1,2,3,6,7,4,8,5] => 0000101 => [4,1,1,1] => 145
[1,2,3,6,7,8,4,5] => 0000010 => [5,1,1] => 37
[6,1,8,2,3,4,5,7] => 1010000 => [1,1,1,4] => 148
[6,8,1,2,3,4,5,7] => 0100000 => [1,1,5] => 37
[6,1,2,8,3,4,5,7] => 1001000 => [1,2,1,3] => 262
[1,6,2,8,3,4,5,7] => 0101000 => [1,1,1,1,3] => 450
[1,6,8,2,3,4,5,7] => 0010000 => [2,1,4] => 85
[6,1,2,3,8,4,5,7] => 1000100 => [1,3,1,2] => 259
[1,6,2,3,8,4,5,7] => 0100100 => [1,1,2,1,2] => 611
[1,2,6,3,8,4,5,7] => 0010100 => [2,1,1,1,2] => 603
[1,2,6,8,3,4,5,7] => 0001000 => [3,1,3] => 110
[6,1,2,3,4,8,5,7] => 1000010 => [1,4,1,1] => 145
[1,6,2,3,4,8,5,7] => 0100010 => [1,1,3,1,1] => 439
[1,2,6,3,4,8,5,7] => 0010010 => [2,1,2,1,1] => 594
[1,2,3,6,4,8,5,7] => 0001010 => [3,1,1,1,1] => 427
[1,2,3,6,8,4,5,7] => 0000100 => [4,1,2] => 85
[6,1,2,3,4,5,8,7] => 1000001 => [1,5,1] => 37
[1,6,2,3,4,5,8,7] => 0100001 => [1,1,4,1] => 148
[1,2,6,3,4,5,8,7] => 0010001 => [2,1,3,1] => 262
[1,2,3,6,4,5,8,7] => 0001001 => [3,1,2,1] => 259
[1,2,3,4,6,8,5,7] => 0000010 => [5,1,1] => 37
[1,6,2,3,4,5,7,8] => 0100000 => [1,1,5] => 37
[1,2,6,3,4,5,7,8] => 0010000 => [2,1,4] => 85
[1,2,3,6,4,5,7,8] => 0001000 => [3,1,3] => 110
[7,1,8,2,3,4,5,6] => 1010000 => [1,1,1,4] => 148
[7,1,2,8,3,4,5,6] => 1001000 => [1,2,1,3] => 262
[1,7,2,8,3,4,5,6] => 0101000 => [1,1,1,1,3] => 450
[1,7,8,2,3,4,5,6] => 0010000 => [2,1,4] => 85
[7,1,2,3,8,4,5,6] => 1000100 => [1,3,1,2] => 259
[1,7,2,3,8,4,5,6] => 0100100 => [1,1,2,1,2] => 611
[1,2,7,3,8,4,5,6] => 0010100 => [2,1,1,1,2] => 603
[1,2,7,8,3,4,5,6] => 0001000 => [3,1,3] => 110
[7,1,2,3,4,8,5,6] => 1000010 => [1,4,1,1] => 145
[1,7,2,3,4,8,5,6] => 0100010 => [1,1,3,1,1] => 439
[1,2,7,3,4,8,5,6] => 0010010 => [2,1,2,1,1] => 594
[1,2,3,7,4,8,5,6] => 0001010 => [3,1,1,1,1] => 427
[1,2,3,7,8,4,5,6] => 0000100 => [4,1,2] => 85
[7,1,2,3,4,5,8,6] => 1000001 => [1,5,1] => 37
[1,7,2,3,4,5,8,6] => 0100001 => [1,1,4,1] => 148
[1,2,7,3,4,5,8,6] => 0010001 => [2,1,3,1] => 262
[1,2,3,7,4,5,8,6] => 0001001 => [3,1,2,1] => 259
[1,2,3,4,7,5,8,6] => 0000101 => [4,1,1,1] => 145
[1,2,3,4,7,8,5,6] => 0000010 => [5,1,1] => 37
[1,7,2,3,4,5,6,8] => 0100000 => [1,1,5] => 37
[1,2,7,3,4,5,6,8] => 0010000 => [2,1,4] => 85
[1,2,3,7,4,5,6,8] => 0001000 => [3,1,3] => 110
[1,2,3,4,7,5,6,8] => 0000100 => [4,1,2] => 85
[1,8,2,3,4,5,6,7] => 0100000 => [1,1,5] => 37
[1,2,8,3,4,5,6,7] => 0010000 => [2,1,4] => 85
[1,2,3,8,4,5,6,7] => 0001000 => [3,1,3] => 110
[1,2,3,4,8,5,6,7] => 0000100 => [4,1,2] => 85
[1,2,3,4,5,8,6,7] => 0000010 => [5,1,1] => 37
[5,3,2,6,1,4,8,7] => 1101001 => [2,1,1,2,1] => 603
[7,3,2,5,4,8,1,6] => 1101010 => [2,1,1,1,1,1] => 969
[8,4,5,2,3,7,6,1] => 1010011 => [1,1,1,2,2] => 622
[7,4,5,2,3,8,1,6] => 1010010 => [1,1,1,2,1,1] => 1006
[6,4,5,2,3,1,8,7] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,4,6,2,1,3,8,7] => 1011001 => [1,1,2,2,1] => 611
[3,6,1,5,4,2,8,7] => 0101101 => [1,1,1,2,1,1] => 1006
[4,6,5,1,3,2,8,7] => 0110101 => [1,2,1,1,1,1] => 969
[5,6,4,3,1,2,8,7] => 0111001 => [1,3,2,1] => 259
[7,5,4,3,2,8,1,6] => 1111010 => [4,1,1,1] => 145
[8,6,4,3,7,2,5,1] => 1110101 => [3,1,1,1,1] => 427
[7,6,4,3,8,2,1,5] => 1110110 => [3,1,2,1] => 259
[6,7,4,3,8,1,2,5] => 0110100 => [1,2,1,1,2] => 603
[5,7,4,3,1,8,2,6] => 0111010 => [1,3,1,1,1] => 427
[4,7,5,1,3,8,2,6] => 0110010 => [1,2,2,1,1] => 594
[3,7,1,5,4,8,2,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,1,7,5,4,8,3,6] => 1011010 => [1,1,2,1,1,1] => 984
[3,8,1,5,4,7,6,2] => 0101011 => [1,1,1,1,1,2] => 1023
[4,8,5,1,3,7,6,2] => 0110011 => [1,2,2,2] => 363
[5,8,4,3,1,7,6,2] => 0111011 => [1,3,1,2] => 259
[6,8,4,3,7,1,5,2] => 0110101 => [1,2,1,1,1,1] => 969
[7,8,4,3,6,5,1,2] => 0110110 => [1,2,1,2,1] => 603
[6,8,5,7,3,1,4,2] => 0101101 => [1,1,1,2,1,1] => 1006
[5,8,6,7,1,3,4,2] => 0101001 => [1,1,1,1,2,1] => 1023
[4,8,6,1,7,3,5,2] => 0110101 => [1,2,1,1,1,1] => 969
[3,8,1,6,7,4,5,2] => 0100101 => [1,1,2,1,1,1] => 984
[2,1,8,6,7,4,5,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[2,1,7,6,8,4,3,5] => 1010110 => [1,1,1,1,2,1] => 1023
[3,7,1,6,8,4,2,5] => 0100110 => [1,1,2,2,1] => 611
[4,7,6,1,8,3,2,5] => 0110110 => [1,2,1,2,1] => 603
[5,7,6,8,1,3,2,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,4,7,2,1,8,3,6] => 1011010 => [1,1,2,1,1,1] => 984
[6,4,7,2,8,1,3,5] => 1010100 => [1,1,1,1,1,2] => 1023
[7,4,6,2,8,3,1,5] => 1010110 => [1,1,1,1,2,1] => 1023
[8,4,6,2,7,3,5,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,3,2,6,7,4,5,1] => 1100101 => [2,2,1,1,1] => 582
[7,3,2,6,8,4,1,5] => 1100110 => [2,2,2,1] => 357
[6,3,2,7,8,1,4,5] => 1100100 => [2,2,1,2] => 357
[5,3,2,7,1,8,4,6] => 1101010 => [2,1,1,1,1,1] => 969
[4,3,2,1,7,8,5,6] => 1110010 => [3,2,1,1] => 256
[3,4,1,2,8,7,6,5] => 0100111 => [1,1,2,3] => 265
[5,3,2,8,1,7,6,4] => 1101011 => [2,1,1,1,2] => 603
[6,3,2,8,7,1,5,4] => 1101101 => [2,1,2,1,1] => 594
[7,3,2,8,6,5,1,4] => 1101110 => [2,1,3,1] => 262
[8,4,7,2,6,5,3,1] => 1010111 => [1,1,1,1,3] => 450
[7,4,8,2,6,5,1,3] => 1010110 => [1,1,1,1,2,1] => 1023
[6,4,8,2,7,1,5,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,4,8,2,1,7,6,3] => 1011011 => [1,1,2,1,2] => 611
[4,5,8,1,2,7,6,3] => 0010011 => [2,1,2,2] => 363
[3,5,1,8,2,7,6,4] => 0101011 => [1,1,1,1,1,2] => 1023
[2,1,5,8,3,7,6,4] => 1001011 => [1,2,1,1,2] => 603
[2,1,6,8,7,3,5,4] => 1001101 => [1,2,2,1,1] => 594
[3,6,1,8,7,2,5,4] => 0101101 => [1,1,1,2,1,1] => 1006
[4,6,8,1,7,2,5,3] => 0010101 => [2,1,1,1,1,1] => 969
[5,6,8,7,1,2,4,3] => 0011001 => [2,2,2,1] => 357
[6,5,8,7,2,1,4,3] => 1011101 => [1,1,3,1,1] => 439
[7,5,8,6,2,4,1,3] => 1011010 => [1,1,2,1,1,1] => 984
[8,5,7,6,2,4,3,1] => 1011011 => [1,1,2,1,2] => 611
[5,7,8,6,1,4,2,3] => 0011010 => [2,2,1,1,1] => 582
[4,7,8,1,6,5,2,3] => 0010110 => [2,1,1,2,1] => 603
[3,7,1,8,6,5,2,4] => 0101110 => [1,1,1,3,1] => 450
[2,1,7,8,6,5,3,4] => 1001110 => [1,2,3,1] => 262
[3,8,1,7,6,5,4,2] => 0101111 => [1,1,1,4] => 148
[4,8,7,1,6,5,3,2] => 0110111 => [1,2,1,3] => 262
[5,8,7,6,1,4,3,2] => 0111011 => [1,3,1,2] => 259
[6,8,7,5,4,1,3,2] => 0111101 => [1,4,1,1] => 145
[3,2,5,1,4,6,7,8] => 1010000 => [1,1,1,4] => 148
[4,2,5,1,3,6,7,8] => 1010000 => [1,1,1,4] => 148
[5,2,4,1,3,6,7,8] => 1010000 => [1,1,1,4] => 148
[3,2,6,1,4,5,7,8] => 1010000 => [1,1,1,4] => 148
[4,2,6,1,3,5,7,8] => 1010000 => [1,1,1,4] => 148
[5,3,6,1,2,4,7,8] => 1010000 => [1,1,1,4] => 148
[6,2,4,1,3,5,7,8] => 1010000 => [1,1,1,4] => 148
[6,3,5,1,2,4,7,8] => 1010000 => [1,1,1,4] => 148
[5,2,7,1,3,4,6,8] => 1010000 => [1,1,1,4] => 148
[5,3,7,1,2,4,6,8] => 1010000 => [1,1,1,4] => 148
[5,4,7,1,2,3,6,8] => 1010000 => [1,1,1,4] => 148
[6,2,7,1,3,4,5,8] => 1010000 => [1,1,1,4] => 148
[6,3,7,1,2,4,5,8] => 1010000 => [1,1,1,4] => 148
[6,4,7,1,2,3,5,8] => 1010000 => [1,1,1,4] => 148
[7,3,5,1,2,4,6,8] => 1010000 => [1,1,1,4] => 148
[7,3,6,1,2,4,5,8] => 1010000 => [1,1,1,4] => 148
[7,4,6,1,2,3,5,8] => 1010000 => [1,1,1,4] => 148
[3,2,8,1,4,5,6,7] => 1010000 => [1,1,1,4] => 148
[4,2,8,1,3,5,6,7] => 1010000 => [1,1,1,4] => 148
[5,2,8,1,3,4,6,7] => 1010000 => [1,1,1,4] => 148
[5,4,8,1,2,3,6,7] => 1010000 => [1,1,1,4] => 148
[6,2,8,1,3,4,5,7] => 1010000 => [1,1,1,4] => 148
[6,3,8,1,2,4,5,7] => 1010000 => [1,1,1,4] => 148
[6,4,8,1,2,3,5,7] => 1010000 => [1,1,1,4] => 148
[6,5,8,1,2,3,4,7] => 1010000 => [1,1,1,4] => 148
[7,2,8,1,3,4,5,6] => 1010000 => [1,1,1,4] => 148
[7,3,8,1,2,4,5,6] => 1010000 => [1,1,1,4] => 148
[7,4,8,1,2,3,5,6] => 1010000 => [1,1,1,4] => 148
[7,5,8,1,2,3,4,6] => 1010000 => [1,1,1,4] => 148
[8,2,4,1,3,5,6,7] => 1010000 => [1,1,1,4] => 148
[8,3,5,1,2,4,6,7] => 1010000 => [1,1,1,4] => 148
[8,3,6,1,2,4,5,7] => 1010000 => [1,1,1,4] => 148
[8,3,7,1,2,4,5,6] => 1010000 => [1,1,1,4] => 148
[8,4,7,1,2,3,5,6] => 1010000 => [1,1,1,4] => 148
[8,5,7,1,2,3,4,6] => 1010000 => [1,1,1,4] => 148
[3,2,5,7,1,4,6,8] => 1001000 => [1,2,1,3] => 262
[4,2,5,7,1,3,6,8] => 1001000 => [1,2,1,3] => 262
[4,3,5,7,1,2,6,8] => 1001000 => [1,2,1,3] => 262
[5,2,4,7,1,3,6,8] => 1001000 => [1,2,1,3] => 262
[5,3,4,7,1,2,6,8] => 1001000 => [1,2,1,3] => 262
[4,2,6,7,1,3,5,8] => 1001000 => [1,2,1,3] => 262
[5,2,6,7,1,3,4,8] => 1001000 => [1,2,1,3] => 262
[5,3,6,7,1,2,4,8] => 1001000 => [1,2,1,3] => 262
[6,2,5,7,1,3,4,8] => 1001000 => [1,2,1,3] => 262
[6,3,5,7,1,2,4,8] => 1001000 => [1,2,1,3] => 262
[7,2,4,6,1,3,5,8] => 1001000 => [1,2,1,3] => 262
[7,3,4,6,1,2,5,8] => 1001000 => [1,2,1,3] => 262
[7,3,5,6,1,2,4,8] => 1001000 => [1,2,1,3] => 262
[3,2,5,8,1,4,6,7] => 1001000 => [1,2,1,3] => 262
[4,2,5,8,1,3,6,7] => 1001000 => [1,2,1,3] => 262
[4,3,5,8,1,2,6,7] => 1001000 => [1,2,1,3] => 262
[5,2,4,8,1,3,6,7] => 1001000 => [1,2,1,3] => 262
[3,2,6,8,1,4,5,7] => 1001000 => [1,2,1,3] => 262
[4,2,6,8,1,3,5,7] => 1001000 => [1,2,1,3] => 262
[4,3,6,8,1,2,5,7] => 1001000 => [1,2,1,3] => 262
[5,2,6,8,1,3,4,7] => 1001000 => [1,2,1,3] => 262
[6,2,4,8,1,3,5,7] => 1001000 => [1,2,1,3] => 262
[6,3,4,8,1,2,5,7] => 1001000 => [1,2,1,3] => 262
[6,2,5,8,1,3,4,7] => 1001000 => [1,2,1,3] => 262
[6,3,5,8,1,2,4,7] => 1001000 => [1,2,1,3] => 262
[6,4,5,8,1,2,3,7] => 1001000 => [1,2,1,3] => 262
[3,2,7,8,1,4,5,6] => 1001000 => [1,2,1,3] => 262
[4,3,7,8,1,2,5,6] => 1001000 => [1,2,1,3] => 262
[5,3,7,8,1,2,4,6] => 1001000 => [1,2,1,3] => 262
[6,2,7,8,1,3,4,5] => 1001000 => [1,2,1,3] => 262
[6,3,7,8,1,2,4,5] => 1001000 => [1,2,1,3] => 262
[6,4,7,8,1,2,3,5] => 1001000 => [1,2,1,3] => 262
[7,2,4,8,1,3,5,6] => 1001000 => [1,2,1,3] => 262
[7,3,4,8,1,2,5,6] => 1001000 => [1,2,1,3] => 262
[7,3,5,8,1,2,4,6] => 1001000 => [1,2,1,3] => 262
[7,4,5,8,1,2,3,6] => 1001000 => [1,2,1,3] => 262
[7,4,6,8,1,2,3,5] => 1001000 => [1,2,1,3] => 262
[8,2,4,6,1,3,5,7] => 1001000 => [1,2,1,3] => 262
[8,3,4,6,1,2,5,7] => 1001000 => [1,2,1,3] => 262
[8,2,5,6,1,3,4,7] => 1001000 => [1,2,1,3] => 262
[8,3,5,6,1,2,4,7] => 1001000 => [1,2,1,3] => 262
[8,2,4,7,1,3,5,6] => 1001000 => [1,2,1,3] => 262
[8,2,5,7,1,3,4,6] => 1001000 => [1,2,1,3] => 262
[8,3,5,7,1,2,4,6] => 1001000 => [1,2,1,3] => 262
[8,2,6,7,1,3,4,5] => 1001000 => [1,2,1,3] => 262
[8,4,6,7,1,2,3,5] => 1001000 => [1,2,1,3] => 262
[3,6,2,5,1,4,7,8] => 0101000 => [1,1,1,1,3] => 450
[4,6,2,5,1,3,7,8] => 0101000 => [1,1,1,1,3] => 450
[4,6,3,5,1,2,7,8] => 0101000 => [1,1,1,1,3] => 450
[3,7,2,5,1,4,6,8] => 0101000 => [1,1,1,1,3] => 450
[4,7,3,5,1,2,6,8] => 0101000 => [1,1,1,1,3] => 450
[5,7,2,4,1,3,6,8] => 0101000 => [1,1,1,1,3] => 450
[5,7,3,4,1,2,6,8] => 0101000 => [1,1,1,1,3] => 450
[3,7,2,6,1,4,5,8] => 0101000 => [1,1,1,1,3] => 450
[4,7,3,6,1,2,5,8] => 0101000 => [1,1,1,1,3] => 450
[5,7,2,6,1,3,4,8] => 0101000 => [1,1,1,1,3] => 450
[5,7,3,6,1,2,4,8] => 0101000 => [1,1,1,1,3] => 450
[6,7,2,5,1,3,4,8] => 0101000 => [1,1,1,1,3] => 450
[4,8,2,5,1,3,6,7] => 0101000 => [1,1,1,1,3] => 450
[5,8,2,4,1,3,6,7] => 0101000 => [1,1,1,1,3] => 450
[5,8,3,4,1,2,6,7] => 0101000 => [1,1,1,1,3] => 450
[3,8,2,6,1,4,5,7] => 0101000 => [1,1,1,1,3] => 450
[4,8,2,6,1,3,5,7] => 0101000 => [1,1,1,1,3] => 450
[5,8,3,6,1,2,4,7] => 0101000 => [1,1,1,1,3] => 450
[5,8,4,6,1,2,3,7] => 0101000 => [1,1,1,1,3] => 450
[6,8,2,4,1,3,5,7] => 0101000 => [1,1,1,1,3] => 450
[6,8,3,4,1,2,5,7] => 0101000 => [1,1,1,1,3] => 450
[6,8,3,5,1,2,4,7] => 0101000 => [1,1,1,1,3] => 450
[6,8,4,5,1,2,3,7] => 0101000 => [1,1,1,1,3] => 450
[3,8,2,7,1,4,5,6] => 0101000 => [1,1,1,1,3] => 450
[4,8,2,7,1,3,5,6] => 0101000 => [1,1,1,1,3] => 450
[4,8,3,7,1,2,5,6] => 0101000 => [1,1,1,1,3] => 450
[5,8,2,7,1,3,4,6] => 0101000 => [1,1,1,1,3] => 450
[5,8,3,7,1,2,4,6] => 0101000 => [1,1,1,1,3] => 450
[5,8,4,7,1,2,3,6] => 0101000 => [1,1,1,1,3] => 450
[6,8,2,7,1,3,4,5] => 0101000 => [1,1,1,1,3] => 450
[6,8,3,7,1,2,4,5] => 0101000 => [1,1,1,1,3] => 450
[6,8,5,7,1,2,3,4] => 0101000 => [1,1,1,1,3] => 450
[7,8,2,4,1,3,5,6] => 0101000 => [1,1,1,1,3] => 450
[7,8,2,5,1,3,4,6] => 0101000 => [1,1,1,1,3] => 450
[7,8,3,5,1,2,4,6] => 0101000 => [1,1,1,1,3] => 450
[7,8,4,6,1,2,3,5] => 0101000 => [1,1,1,1,3] => 450
[4,3,2,6,1,5,7,8] => 1101000 => [2,1,1,3] => 262
[5,3,2,6,1,4,7,8] => 1101000 => [2,1,1,3] => 262
[6,3,2,5,1,4,7,8] => 1101000 => [2,1,1,3] => 262
[6,4,2,5,1,3,7,8] => 1101000 => [2,1,1,3] => 262
[6,5,2,4,1,3,7,8] => 1101000 => [2,1,1,3] => 262
[4,3,2,7,1,5,6,8] => 1101000 => [2,1,1,3] => 262
[5,3,2,7,1,4,6,8] => 1101000 => [2,1,1,3] => 262
[5,4,3,7,1,2,6,8] => 1101000 => [2,1,1,3] => 262
[6,3,2,7,1,4,5,8] => 1101000 => [2,1,1,3] => 262
[6,4,2,7,1,3,5,8] => 1101000 => [2,1,1,3] => 262
[6,4,3,7,1,2,5,8] => 1101000 => [2,1,1,3] => 262
[6,5,3,7,1,2,4,8] => 1101000 => [2,1,1,3] => 262
[7,3,2,5,1,4,6,8] => 1101000 => [2,1,1,3] => 262
[7,4,2,5,1,3,6,8] => 1101000 => [2,1,1,3] => 262
[7,3,2,6,1,4,5,8] => 1101000 => [2,1,1,3] => 262
[7,4,2,6,1,3,5,8] => 1101000 => [2,1,1,3] => 262
[7,4,3,6,1,2,5,8] => 1101000 => [2,1,1,3] => 262
[7,5,2,6,1,3,4,8] => 1101000 => [2,1,1,3] => 262
[7,5,3,6,1,2,4,8] => 1101000 => [2,1,1,3] => 262
[7,6,3,5,1,2,4,8] => 1101000 => [2,1,1,3] => 262
[4,3,2,8,1,5,6,7] => 1101000 => [2,1,1,3] => 262
[5,3,2,8,1,4,6,7] => 1101000 => [2,1,1,3] => 262
[5,4,3,8,1,2,6,7] => 1101000 => [2,1,1,3] => 262
[6,3,2,8,1,4,5,7] => 1101000 => [2,1,1,3] => 262
[6,4,2,8,1,3,5,7] => 1101000 => [2,1,1,3] => 262
[6,4,3,8,1,2,5,7] => 1101000 => [2,1,1,3] => 262
[6,5,2,8,1,3,4,7] => 1101000 => [2,1,1,3] => 262
[6,5,3,8,1,2,4,7] => 1101000 => [2,1,1,3] => 262
[6,5,4,8,1,2,3,7] => 1101000 => [2,1,1,3] => 262
[7,3,2,8,1,4,5,6] => 1101000 => [2,1,1,3] => 262
[7,4,2,8,1,3,5,6] => 1101000 => [2,1,1,3] => 262
[7,4,3,8,1,2,5,6] => 1101000 => [2,1,1,3] => 262
[7,5,3,8,1,2,4,6] => 1101000 => [2,1,1,3] => 262
[7,5,4,8,1,2,3,6] => 1101000 => [2,1,1,3] => 262
[7,6,2,8,1,3,4,5] => 1101000 => [2,1,1,3] => 262
[8,3,2,5,1,4,6,7] => 1101000 => [2,1,1,3] => 262
[8,4,2,5,1,3,6,7] => 1101000 => [2,1,1,3] => 262
[8,3,2,6,1,4,5,7] => 1101000 => [2,1,1,3] => 262
[8,4,2,6,1,3,5,7] => 1101000 => [2,1,1,3] => 262
[8,5,3,6,1,2,4,7] => 1101000 => [2,1,1,3] => 262
[8,6,2,4,1,3,5,7] => 1101000 => [2,1,1,3] => 262
[8,6,2,5,1,3,4,7] => 1101000 => [2,1,1,3] => 262
[8,3,2,7,1,4,5,6] => 1101000 => [2,1,1,3] => 262
[8,4,2,7,1,3,5,6] => 1101000 => [2,1,1,3] => 262
[8,4,3,7,1,2,5,6] => 1101000 => [2,1,1,3] => 262
[8,5,2,7,1,3,4,6] => 1101000 => [2,1,1,3] => 262
[8,5,3,7,1,2,4,6] => 1101000 => [2,1,1,3] => 262
[8,5,4,7,1,2,3,6] => 1101000 => [2,1,1,3] => 262
[8,6,3,7,1,2,4,5] => 1101000 => [2,1,1,3] => 262
[8,7,2,4,1,3,5,6] => 1101000 => [2,1,1,3] => 262
[8,7,2,5,1,3,4,6] => 1101000 => [2,1,1,3] => 262
[8,7,3,5,1,2,4,6] => 1101000 => [2,1,1,3] => 262
[8,7,2,6,1,3,4,5] => 1101000 => [2,1,1,3] => 262
[8,7,3,6,1,2,4,5] => 1101000 => [2,1,1,3] => 262
[8,7,4,6,1,2,3,5] => 1101000 => [2,1,1,3] => 262
[3,6,2,5,8,1,4,7] => 0100100 => [1,1,2,1,2] => 611
[4,6,3,5,8,1,2,7] => 0100100 => [1,1,2,1,2] => 611
[5,6,2,4,8,1,3,7] => 0100100 => [1,1,2,1,2] => 611
[4,7,2,5,8,1,3,6] => 0100100 => [1,1,2,1,2] => 611
[4,7,3,5,8,1,2,6] => 0100100 => [1,1,2,1,2] => 611
[5,7,2,4,8,1,3,6] => 0100100 => [1,1,2,1,2] => 611
[5,7,3,4,8,1,2,6] => 0100100 => [1,1,2,1,2] => 611
[3,7,2,6,8,1,4,5] => 0100100 => [1,1,2,1,2] => 611
[4,7,3,6,8,1,2,5] => 0100100 => [1,1,2,1,2] => 611
[5,7,2,6,8,1,3,4] => 0100100 => [1,1,2,1,2] => 611
[5,7,4,6,8,1,2,3] => 0100100 => [1,1,2,1,2] => 611
[6,7,3,4,8,1,2,5] => 0100100 => [1,1,2,1,2] => 611
[6,7,3,5,8,1,2,4] => 0100100 => [1,1,2,1,2] => 611
[3,8,2,5,7,1,4,6] => 0100100 => [1,1,2,1,2] => 611
[4,8,2,5,7,1,3,6] => 0100100 => [1,1,2,1,2] => 611
[4,8,3,5,7,1,2,6] => 0100100 => [1,1,2,1,2] => 611
[5,8,2,4,7,1,3,6] => 0100100 => [1,1,2,1,2] => 611
[3,8,2,6,7,1,4,5] => 0100100 => [1,1,2,1,2] => 611
[4,8,3,6,7,1,2,5] => 0100100 => [1,1,2,1,2] => 611
[5,8,2,6,7,1,3,4] => 0100100 => [1,1,2,1,2] => 611
[5,8,3,6,7,1,2,4] => 0100100 => [1,1,2,1,2] => 611
[6,8,2,5,7,1,3,4] => 0100100 => [1,1,2,1,2] => 611
[6,8,3,5,7,1,2,4] => 0100100 => [1,1,2,1,2] => 611
[6,8,4,5,7,1,2,3] => 0100100 => [1,1,2,1,2] => 611
[7,8,2,4,6,1,3,5] => 0100100 => [1,1,2,1,2] => 611
[7,8,2,5,6,1,3,4] => 0100100 => [1,1,2,1,2] => 611
[7,8,3,5,6,1,2,4] => 0100100 => [1,1,2,1,2] => 611
[4,3,2,6,8,1,5,7] => 1100100 => [2,2,1,2] => 357
[5,3,2,6,8,1,4,7] => 1100100 => [2,2,1,2] => 357
[5,4,2,6,8,1,3,7] => 1100100 => [2,2,1,2] => 357
[5,4,3,6,8,1,2,7] => 1100100 => [2,2,1,2] => 357
[6,3,2,5,8,1,4,7] => 1100100 => [2,2,1,2] => 357
[6,4,3,5,8,1,2,7] => 1100100 => [2,2,1,2] => 357
[6,5,2,4,8,1,3,7] => 1100100 => [2,2,1,2] => 357
[4,3,2,7,8,1,5,6] => 1100100 => [2,2,1,2] => 357
[5,3,2,7,8,1,4,6] => 1100100 => [2,2,1,2] => 357
[5,4,2,7,8,1,3,6] => 1100100 => [2,2,1,2] => 357
[5,4,3,7,8,1,2,6] => 1100100 => [2,2,1,2] => 357
[6,4,2,7,8,1,3,5] => 1100100 => [2,2,1,2] => 357
[6,4,3,7,8,1,2,5] => 1100100 => [2,2,1,2] => 357
[6,5,2,7,8,1,3,4] => 1100100 => [2,2,1,2] => 357
[7,4,2,5,8,1,3,6] => 1100100 => [2,2,1,2] => 357
[7,4,3,5,8,1,2,6] => 1100100 => [2,2,1,2] => 357
[7,5,3,4,8,1,2,6] => 1100100 => [2,2,1,2] => 357
[7,3,2,6,8,1,4,5] => 1100100 => [2,2,1,2] => 357
[7,5,2,6,8,1,3,4] => 1100100 => [2,2,1,2] => 357
[7,5,3,6,8,1,2,4] => 1100100 => [2,2,1,2] => 357
[7,6,2,4,8,1,3,5] => 1100100 => [2,2,1,2] => 357
[7,6,3,5,8,1,2,4] => 1100100 => [2,2,1,2] => 357
[8,3,2,5,7,1,4,6] => 1100100 => [2,2,1,2] => 357
[8,4,2,5,7,1,3,6] => 1100100 => [2,2,1,2] => 357
[8,5,2,4,7,1,3,6] => 1100100 => [2,2,1,2] => 357
[8,3,2,6,7,1,4,5] => 1100100 => [2,2,1,2] => 357
[8,4,2,6,7,1,3,5] => 1100100 => [2,2,1,2] => 357
[8,5,2,6,7,1,3,4] => 1100100 => [2,2,1,2] => 357
[8,5,3,6,7,1,2,4] => 1100100 => [2,2,1,2] => 357
[8,6,2,4,7,1,3,5] => 1100100 => [2,2,1,2] => 357
[8,6,3,5,7,1,2,4] => 1100100 => [2,2,1,2] => 357
[8,7,2,4,6,1,3,5] => 1100100 => [2,2,1,2] => 357
[8,7,3,4,6,1,2,5] => 1100100 => [2,2,1,2] => 357
[8,7,2,5,6,1,3,4] => 1100100 => [2,2,1,2] => 357
[8,7,3,5,6,1,2,4] => 1100100 => [2,2,1,2] => 357
[4,3,7,2,6,1,5,8] => 1010100 => [1,1,1,1,1,2] => 1023
[5,3,7,2,6,1,4,8] => 1010100 => [1,1,1,1,1,2] => 1023
[5,4,7,2,6,1,3,8] => 1010100 => [1,1,1,1,1,2] => 1023
[6,3,7,2,5,1,4,8] => 1010100 => [1,1,1,1,1,2] => 1023
[6,4,7,2,5,1,3,8] => 1010100 => [1,1,1,1,1,2] => 1023
[6,4,7,3,5,1,2,8] => 1010100 => [1,1,1,1,1,2] => 1023
[7,3,6,2,5,1,4,8] => 1010100 => [1,1,1,1,1,2] => 1023
[4,3,8,2,6,1,5,7] => 1010100 => [1,1,1,1,1,2] => 1023
[5,3,8,2,6,1,4,7] => 1010100 => [1,1,1,1,1,2] => 1023
[5,4,8,2,6,1,3,7] => 1010100 => [1,1,1,1,1,2] => 1023
[5,4,8,3,6,1,2,7] => 1010100 => [1,1,1,1,1,2] => 1023
[6,4,8,2,5,1,3,7] => 1010100 => [1,1,1,1,1,2] => 1023
[6,4,8,3,5,1,2,7] => 1010100 => [1,1,1,1,1,2] => 1023
[6,5,8,2,4,1,3,7] => 1010100 => [1,1,1,1,1,2] => 1023
[6,5,8,3,4,1,2,7] => 1010100 => [1,1,1,1,1,2] => 1023
[4,3,8,2,7,1,5,6] => 1010100 => [1,1,1,1,1,2] => 1023
[5,3,8,2,7,1,4,6] => 1010100 => [1,1,1,1,1,2] => 1023
[5,4,8,2,7,1,3,6] => 1010100 => [1,1,1,1,1,2] => 1023
[5,4,8,3,7,1,2,6] => 1010100 => [1,1,1,1,1,2] => 1023
[6,3,8,2,7,1,4,5] => 1010100 => [1,1,1,1,1,2] => 1023
[6,4,8,2,7,1,3,5] => 1010100 => [1,1,1,1,1,2] => 1023
[6,4,8,3,7,1,2,5] => 1010100 => [1,1,1,1,1,2] => 1023
[7,3,8,2,5,1,4,6] => 1010100 => [1,1,1,1,1,2] => 1023
[7,4,8,3,5,1,2,6] => 1010100 => [1,1,1,1,1,2] => 1023
[7,5,8,2,4,1,3,6] => 1010100 => [1,1,1,1,1,2] => 1023
[7,5,8,3,4,1,2,6] => 1010100 => [1,1,1,1,1,2] => 1023
[7,3,8,2,6,1,4,5] => 1010100 => [1,1,1,1,1,2] => 1023
[7,4,8,2,6,1,3,5] => 1010100 => [1,1,1,1,1,2] => 1023
[7,5,8,2,6,1,3,4] => 1010100 => [1,1,1,1,1,2] => 1023
[7,5,8,3,6,1,2,4] => 1010100 => [1,1,1,1,1,2] => 1023
[7,5,8,4,6,1,2,3] => 1010100 => [1,1,1,1,1,2] => 1023
[7,6,8,2,5,1,3,4] => 1010100 => [1,1,1,1,1,2] => 1023
[7,6,8,3,5,1,2,4] => 1010100 => [1,1,1,1,1,2] => 1023
[8,3,6,2,5,1,4,7] => 1010100 => [1,1,1,1,1,2] => 1023
[8,5,6,2,4,1,3,7] => 1010100 => [1,1,1,1,1,2] => 1023
[8,3,7,2,5,1,4,6] => 1010100 => [1,1,1,1,1,2] => 1023
[8,5,7,2,4,1,3,6] => 1010100 => [1,1,1,1,1,2] => 1023
[8,3,7,2,6,1,4,5] => 1010100 => [1,1,1,1,1,2] => 1023
[8,4,7,2,6,1,3,5] => 1010100 => [1,1,1,1,1,2] => 1023
[8,4,7,3,6,1,2,5] => 1010100 => [1,1,1,1,1,2] => 1023
[8,5,7,2,6,1,3,4] => 1010100 => [1,1,1,1,1,2] => 1023
[8,6,7,2,4,1,3,5] => 1010100 => [1,1,1,1,1,2] => 1023
[8,6,7,2,5,1,3,4] => 1010100 => [1,1,1,1,1,2] => 1023
[8,6,7,3,5,1,2,4] => 1010100 => [1,1,1,1,1,2] => 1023
[5,4,3,2,7,1,6,8] => 1110100 => [3,1,1,2] => 259
[6,4,3,2,7,1,5,8] => 1110100 => [3,1,1,2] => 259
[6,5,3,2,7,1,4,8] => 1110100 => [3,1,1,2] => 259
[6,5,4,2,7,1,3,8] => 1110100 => [3,1,1,2] => 259
[7,5,3,2,6,1,4,8] => 1110100 => [3,1,1,2] => 259
[7,5,4,2,6,1,3,8] => 1110100 => [3,1,1,2] => 259
[7,6,3,2,5,1,4,8] => 1110100 => [3,1,1,2] => 259
[5,4,3,2,8,1,6,7] => 1110100 => [3,1,1,2] => 259
[6,5,3,2,8,1,4,7] => 1110100 => [3,1,1,2] => 259
[6,5,4,2,8,1,3,7] => 1110100 => [3,1,1,2] => 259
[6,5,4,3,8,1,2,7] => 1110100 => [3,1,1,2] => 259
[7,5,3,2,8,1,4,6] => 1110100 => [3,1,1,2] => 259
[7,5,4,2,8,1,3,6] => 1110100 => [3,1,1,2] => 259
[7,6,3,2,8,1,4,5] => 1110100 => [3,1,1,2] => 259
[7,6,4,3,8,1,2,5] => 1110100 => [3,1,1,2] => 259
[7,6,5,2,8,1,3,4] => 1110100 => [3,1,1,2] => 259
[8,5,3,2,6,1,4,7] => 1110100 => [3,1,1,2] => 259
[8,5,4,2,6,1,3,7] => 1110100 => [3,1,1,2] => 259
[8,6,4,2,5,1,3,7] => 1110100 => [3,1,1,2] => 259
[8,6,5,2,4,1,3,7] => 1110100 => [3,1,1,2] => 259
[8,5,3,2,7,1,4,6] => 1110100 => [3,1,1,2] => 259
[8,6,3,2,7,1,4,5] => 1110100 => [3,1,1,2] => 259
[8,6,4,2,7,1,3,5] => 1110100 => [3,1,1,2] => 259
[8,6,4,3,7,1,2,5] => 1110100 => [3,1,1,2] => 259
[8,7,3,2,6,1,4,5] => 1110100 => [3,1,1,2] => 259
[8,7,4,2,6,1,3,5] => 1110100 => [3,1,1,2] => 259
[8,7,4,3,6,1,2,5] => 1110100 => [3,1,1,2] => 259
[8,7,5,2,6,1,3,4] => 1110100 => [3,1,1,2] => 259
[8,7,6,2,4,1,3,5] => 1110100 => [3,1,1,2] => 259
[8,7,6,2,5,1,3,4] => 1110100 => [3,1,1,2] => 259
[8,7,6,3,5,1,2,4] => 1110100 => [3,1,1,2] => 259
[4,8,3,7,2,6,1,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,8,3,7,2,6,1,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,8,4,7,2,6,1,3] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,8,4,7,3,6,1,2] => 0101010 => [1,1,1,1,1,1,1] => 1623
[6,8,3,7,2,5,1,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[6,8,4,7,2,5,1,3] => 0101010 => [1,1,1,1,1,1,1] => 1623
[6,8,4,7,3,5,1,2] => 0101010 => [1,1,1,1,1,1,1] => 1623
[6,8,5,7,2,4,1,3] => 0101010 => [1,1,1,1,1,1,1] => 1623
[6,8,5,7,3,4,1,2] => 0101010 => [1,1,1,1,1,1,1] => 1623
[7,8,3,6,2,5,1,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[7,8,4,6,2,5,1,3] => 0101010 => [1,1,1,1,1,1,1] => 1623
[7,8,4,6,3,5,1,2] => 0101010 => [1,1,1,1,1,1,1] => 1623
[7,8,5,6,2,4,1,3] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,4,3,8,2,7,1,6] => 1101010 => [2,1,1,1,1,1] => 969
[6,4,3,8,2,7,1,5] => 1101010 => [2,1,1,1,1,1] => 969
[6,5,3,8,2,7,1,4] => 1101010 => [2,1,1,1,1,1] => 969
[6,5,4,8,2,7,1,3] => 1101010 => [2,1,1,1,1,1] => 969
[6,5,4,8,3,7,1,2] => 1101010 => [2,1,1,1,1,1] => 969
[7,4,3,8,2,6,1,5] => 1101010 => [2,1,1,1,1,1] => 969
[7,5,3,8,2,6,1,4] => 1101010 => [2,1,1,1,1,1] => 969
[7,5,4,8,2,6,1,3] => 1101010 => [2,1,1,1,1,1] => 969
[7,6,3,8,2,5,1,4] => 1101010 => [2,1,1,1,1,1] => 969
[7,6,4,8,2,5,1,3] => 1101010 => [2,1,1,1,1,1] => 969
[7,6,5,8,2,4,1,3] => 1101010 => [2,1,1,1,1,1] => 969
[8,4,3,7,2,6,1,5] => 1101010 => [2,1,1,1,1,1] => 969
[8,5,3,7,2,6,1,4] => 1101010 => [2,1,1,1,1,1] => 969
[8,5,4,7,2,6,1,3] => 1101010 => [2,1,1,1,1,1] => 969
[8,5,4,7,3,6,1,2] => 1101010 => [2,1,1,1,1,1] => 969
[8,6,3,7,2,5,1,4] => 1101010 => [2,1,1,1,1,1] => 969
[8,6,4,7,2,5,1,3] => 1101010 => [2,1,1,1,1,1] => 969
[8,6,5,7,2,4,1,3] => 1101010 => [2,1,1,1,1,1] => 969
[8,7,3,6,2,5,1,4] => 1101010 => [2,1,1,1,1,1] => 969
[8,7,4,6,2,5,1,3] => 1101010 => [2,1,1,1,1,1] => 969
[8,7,4,6,3,5,1,2] => 1101010 => [2,1,1,1,1,1] => 969
[8,7,5,6,2,4,1,3] => 1101010 => [2,1,1,1,1,1] => 969
[6,5,4,3,2,8,1,7] => 1111010 => [4,1,1,1] => 145
[7,6,4,3,2,8,1,5] => 1111010 => [4,1,1,1] => 145
[7,6,5,4,2,8,1,3] => 1111010 => [4,1,1,1] => 145
[8,5,4,3,2,7,1,6] => 1111010 => [4,1,1,1] => 145
[8,6,4,3,2,7,1,5] => 1111010 => [4,1,1,1] => 145
[8,6,5,3,2,7,1,4] => 1111010 => [4,1,1,1] => 145
[8,6,5,4,2,7,1,3] => 1111010 => [4,1,1,1] => 145
[8,7,4,3,2,6,1,5] => 1111010 => [4,1,1,1] => 145
[8,7,5,3,2,6,1,4] => 1111010 => [4,1,1,1] => 145
[8,7,5,4,2,6,1,3] => 1111010 => [4,1,1,1] => 145
[8,7,6,3,2,5,1,4] => 1111010 => [4,1,1,1] => 145
[8,7,6,4,2,5,1,3] => 1111010 => [4,1,1,1] => 145
[8,7,6,5,2,4,1,3] => 1111010 => [4,1,1,1] => 145
[8,1,2,3,4,7,5,6] => 1000010 => [1,4,1,1] => 145
[8,1,2,3,6,4,5,7] => 1000100 => [1,3,1,2] => 259
[8,1,2,3,7,4,5,6] => 1000100 => [1,3,1,2] => 259
[7,1,2,3,6,4,8,5] => 1000101 => [1,3,1,1,1] => 427
[5,1,2,3,8,7,4,6] => 1000110 => [1,3,2,1] => 259
[8,1,2,3,6,7,4,5] => 1000010 => [1,4,1,1] => 145
[4,1,2,8,3,7,5,6] => 1001010 => [1,2,1,1,1,1] => 969
[8,1,2,5,3,4,6,7] => 1001000 => [1,2,1,3] => 262
[7,1,2,5,3,4,8,6] => 1001001 => [1,2,1,2,1] => 603
[8,1,2,6,3,4,5,7] => 1001000 => [1,2,1,3] => 262
[7,1,2,6,3,4,8,5] => 1001001 => [1,2,1,2,1] => 603
[6,1,2,5,3,8,4,7] => 1001010 => [1,2,1,1,1,1] => 969
[8,1,2,5,3,7,4,6] => 1001010 => [1,2,1,1,1,1] => 969
[8,1,2,6,3,7,4,5] => 1001010 => [1,2,1,1,1,1] => 969
[6,1,2,5,3,7,8,4] => 1001001 => [1,2,1,2,1] => 603
[4,1,2,8,6,3,5,7] => 1001100 => [1,2,2,2] => 363
[4,1,2,8,7,3,5,6] => 1001100 => [1,2,2,2] => 363
[4,1,2,7,6,3,8,5] => 1001101 => [1,2,2,1,1] => 594
[8,1,2,5,6,3,4,7] => 1000100 => [1,3,1,2] => 259
[8,1,2,5,7,3,4,6] => 1000100 => [1,3,1,2] => 259
[8,1,2,7,6,3,4,5] => 1001100 => [1,2,2,2] => 363
[7,1,2,5,6,3,8,4] => 1000101 => [1,3,1,1,1] => 427
[4,1,2,5,8,7,3,6] => 1000110 => [1,3,2,1] => 259
[4,1,2,8,6,7,3,5] => 1001010 => [1,2,1,1,1,1] => 969
[8,1,2,5,6,7,3,4] => 1000010 => [1,4,1,1] => 145
[3,1,8,2,4,7,5,6] => 1010010 => [1,1,1,2,1,1] => 1006
[3,1,8,2,6,4,5,7] => 1010100 => [1,1,1,1,1,2] => 1023
[3,1,8,2,7,4,5,6] => 1010100 => [1,1,1,1,1,2] => 1023
[3,1,7,2,6,4,8,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[3,1,5,2,8,7,4,6] => 1010110 => [1,1,1,1,2,1] => 1023
[3,1,8,2,6,7,4,5] => 1010010 => [1,1,1,2,1,1] => 1006
[8,1,4,2,3,5,6,7] => 1010000 => [1,1,1,4] => 148
[7,1,4,2,3,5,8,6] => 1010001 => [1,1,1,3,1] => 450
[6,1,4,2,3,8,5,7] => 1010010 => [1,1,1,2,1,1] => 1006
[8,1,4,2,3,7,5,6] => 1010010 => [1,1,1,2,1,1] => 1006
[6,1,4,2,3,7,8,5] => 1010001 => [1,1,1,3,1] => 450
[8,1,5,2,3,4,6,7] => 1010000 => [1,1,1,4] => 148
[7,1,5,2,3,4,8,6] => 1010001 => [1,1,1,3,1] => 450
[8,1,7,2,3,4,5,6] => 1010000 => [1,1,1,4] => 148
[6,1,5,2,3,8,4,7] => 1010010 => [1,1,1,2,1,1] => 1006
[8,1,5,2,3,7,4,6] => 1010010 => [1,1,1,2,1,1] => 1006
[6,1,8,2,3,7,4,5] => 1010010 => [1,1,1,2,1,1] => 1006
[6,1,5,2,3,7,8,4] => 1010001 => [1,1,1,3,1] => 450
[5,1,4,2,8,3,6,7] => 1010100 => [1,1,1,1,1,2] => 1023
[5,1,4,2,7,3,8,6] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,1,4,2,6,3,5,7] => 1010100 => [1,1,1,1,1,2] => 1023
[8,1,4,2,7,3,5,6] => 1010100 => [1,1,1,1,1,2] => 1023
[7,1,4,2,6,3,8,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,1,5,2,6,3,4,7] => 1010100 => [1,1,1,1,1,2] => 1023
[8,1,5,2,7,3,4,6] => 1010100 => [1,1,1,1,1,2] => 1023
[7,1,8,2,6,3,4,5] => 1010100 => [1,1,1,1,1,2] => 1023
[7,1,5,2,6,3,8,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,1,4,2,6,8,3,7] => 1010010 => [1,1,1,2,1,1] => 1006
[5,1,4,2,8,7,3,6] => 1010110 => [1,1,1,1,2,1] => 1023
[8,1,4,2,6,7,3,5] => 1010010 => [1,1,1,2,1,1] => 1006
[8,1,5,2,6,7,3,4] => 1010010 => [1,1,1,2,1,1] => 1006
[5,1,4,2,6,7,8,3] => 1010001 => [1,1,1,3,1] => 450
[3,1,4,8,2,7,5,6] => 1001010 => [1,2,1,1,1,1] => 969
[3,1,8,5,2,4,6,7] => 1011000 => [1,1,2,3] => 265
[3,1,7,5,2,4,8,6] => 1011001 => [1,1,2,2,1] => 611
[3,1,8,6,2,4,5,7] => 1011000 => [1,1,2,3] => 265
[3,1,7,6,2,4,8,5] => 1011001 => [1,1,2,2,1] => 611
[3,1,6,5,2,8,4,7] => 1011010 => [1,1,2,1,1,1] => 984
[3,1,8,5,2,7,4,6] => 1011010 => [1,1,2,1,1,1] => 984
[3,1,8,6,2,7,4,5] => 1011010 => [1,1,2,1,1,1] => 984
[3,1,6,5,2,7,8,4] => 1011001 => [1,1,2,2,1] => 611
[8,1,4,5,2,3,6,7] => 1001000 => [1,2,1,3] => 262
[7,1,4,5,2,3,8,6] => 1001001 => [1,2,1,2,1] => 603
[8,1,4,6,2,3,5,7] => 1001000 => [1,2,1,3] => 262
[7,1,4,8,2,3,5,6] => 1001000 => [1,2,1,3] => 262
[7,1,4,6,2,3,8,5] => 1001001 => [1,2,1,2,1] => 603
[8,1,6,5,2,3,4,7] => 1011000 => [1,1,2,3] => 265
[7,1,8,5,2,3,4,6] => 1011000 => [1,1,2,3] => 265
[7,1,8,6,2,3,4,5] => 1011000 => [1,1,2,3] => 265
[7,1,6,5,2,3,8,4] => 1011001 => [1,1,2,2,1] => 611
[6,1,4,5,2,8,3,7] => 1001010 => [1,2,1,1,1,1] => 969
[8,1,4,5,2,7,3,6] => 1001010 => [1,2,1,1,1,1] => 969
[8,1,4,6,2,7,3,5] => 1001010 => [1,2,1,1,1,1] => 969
[8,1,6,5,2,7,3,4] => 1011010 => [1,1,2,1,1,1] => 984
[6,1,4,5,2,7,8,3] => 1001001 => [1,2,1,2,1] => 603
[3,1,4,8,6,2,5,7] => 1001100 => [1,2,2,2] => 363
[3,1,4,8,7,2,5,6] => 1001100 => [1,2,2,2] => 363
[3,1,4,7,6,2,8,5] => 1001101 => [1,2,2,1,1] => 594
[3,1,8,5,6,2,4,7] => 1010100 => [1,1,1,1,1,2] => 1023
[3,1,8,5,7,2,4,6] => 1010100 => [1,1,1,1,1,2] => 1023
[3,1,8,7,6,2,4,5] => 1011100 => [1,1,3,2] => 265
[3,1,7,5,6,2,8,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,1,4,5,6,2,3,7] => 1000100 => [1,3,1,2] => 259
[8,1,4,5,7,2,3,6] => 1000100 => [1,3,1,2] => 259
[8,1,4,7,6,2,3,5] => 1001100 => [1,2,2,2] => 363
[8,1,7,5,6,2,3,4] => 1010100 => [1,1,1,1,1,2] => 1023
[7,1,4,5,6,2,8,3] => 1000101 => [1,3,1,1,1] => 427
[3,1,4,5,8,7,2,6] => 1000110 => [1,3,2,1] => 259
[3,1,4,8,6,7,2,5] => 1001010 => [1,2,1,1,1,1] => 969
[3,1,8,5,6,7,2,4] => 1010010 => [1,1,1,2,1,1] => 1006
[8,1,4,5,6,7,2,3] => 1000010 => [1,4,1,1] => 145
[2,8,1,3,4,7,5,6] => 0100010 => [1,1,3,1,1] => 439
[2,8,1,3,6,4,5,7] => 0100100 => [1,1,2,1,2] => 611
[2,8,1,3,7,4,5,6] => 0100100 => [1,1,2,1,2] => 611
[2,7,1,3,6,4,8,5] => 0100101 => [1,1,2,1,1,1] => 984
[2,5,1,3,8,7,4,6] => 0100110 => [1,1,2,2,1] => 611
[2,8,1,3,6,7,4,5] => 0100010 => [1,1,3,1,1] => 439
[2,4,1,8,3,7,5,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,8,1,5,3,4,6,7] => 0101000 => [1,1,1,1,3] => 450
[2,7,1,5,3,4,8,6] => 0101001 => [1,1,1,1,2,1] => 1023
[2,8,1,6,3,4,5,7] => 0101000 => [1,1,1,1,3] => 450
[2,7,1,6,3,4,8,5] => 0101001 => [1,1,1,1,2,1] => 1023
[2,6,1,5,3,8,4,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,8,1,5,3,7,4,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,6,1,5,3,7,8,4] => 0101001 => [1,1,1,1,2,1] => 1023
[2,4,1,8,6,3,5,7] => 0101100 => [1,1,1,2,2] => 622
[2,4,1,8,7,3,5,6] => 0101100 => [1,1,1,2,2] => 622
[2,4,1,7,6,3,8,5] => 0101101 => [1,1,1,2,1,1] => 1006
[2,8,1,5,6,3,4,7] => 0100100 => [1,1,2,1,2] => 611
[2,8,1,5,7,3,4,6] => 0100100 => [1,1,2,1,2] => 611
[2,8,1,7,6,3,4,5] => 0101100 => [1,1,1,2,2] => 622
[2,7,1,5,6,3,8,4] => 0100101 => [1,1,2,1,1,1] => 984
[2,4,1,5,8,7,3,6] => 0100110 => [1,1,2,2,1] => 611
[2,4,1,8,6,7,3,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,8,1,5,6,7,3,4] => 0100010 => [1,1,3,1,1] => 439
[7,3,1,2,4,5,8,6] => 1100001 => [2,4,1] => 85
[6,3,1,2,4,8,5,7] => 1100010 => [2,3,1,1] => 256
[8,3,1,2,4,7,5,6] => 1100010 => [2,3,1,1] => 256
[6,3,1,2,4,7,8,5] => 1100001 => [2,4,1] => 85
[5,3,1,2,8,4,6,7] => 1100100 => [2,2,1,2] => 357
[5,3,1,2,7,4,8,6] => 1100101 => [2,2,1,1,1] => 582
[8,3,1,2,6,4,5,7] => 1100100 => [2,2,1,2] => 357
[8,3,1,2,7,4,5,6] => 1100100 => [2,2,1,2] => 357
[7,3,1,2,6,4,8,5] => 1100101 => [2,2,1,1,1] => 582
[5,3,1,2,6,8,4,7] => 1100010 => [2,3,1,1] => 256
[5,3,1,2,8,7,4,6] => 1100110 => [2,2,2,1] => 357
[8,3,1,2,6,7,4,5] => 1100010 => [2,3,1,1] => 256
[5,3,1,2,6,7,8,4] => 1100001 => [2,4,1] => 85
[7,4,1,2,3,5,8,6] => 1100001 => [2,4,1] => 85
[6,4,1,2,3,8,5,7] => 1100010 => [2,3,1,1] => 256
[8,4,1,2,3,7,5,6] => 1100010 => [2,3,1,1] => 256
[6,4,1,2,3,7,8,5] => 1100001 => [2,4,1] => 85
[7,6,1,2,3,4,8,5] => 1100001 => [2,4,1] => 85
[5,8,1,2,3,7,4,6] => 0100010 => [1,1,3,1,1] => 439
[8,6,1,2,3,7,4,5] => 1100010 => [2,3,1,1] => 256
[5,4,1,2,8,3,6,7] => 1100100 => [2,2,1,2] => 357
[5,4,1,2,7,3,8,6] => 1100101 => [2,2,1,1,1] => 582
[8,4,1,2,6,3,5,7] => 1100100 => [2,2,1,2] => 357
[8,4,1,2,7,3,5,6] => 1100100 => [2,2,1,2] => 357
[7,4,1,2,6,3,8,5] => 1100101 => [2,2,1,1,1] => 582
[5,8,1,2,6,3,4,7] => 0100100 => [1,1,2,1,2] => 611
[5,8,1,2,7,3,4,6] => 0100100 => [1,1,2,1,2] => 611
[8,7,1,2,6,3,4,5] => 1100100 => [2,2,1,2] => 357
[5,7,1,2,6,3,8,4] => 0100101 => [1,1,2,1,1,1] => 984
[5,4,1,2,6,8,3,7] => 1100010 => [2,3,1,1] => 256
[5,4,1,2,8,7,3,6] => 1100110 => [2,2,2,1] => 357
[8,4,1,2,6,7,3,5] => 1100010 => [2,3,1,1] => 256
[5,8,1,2,6,7,3,4] => 0100010 => [1,1,3,1,1] => 439
[5,4,1,2,6,7,8,3] => 1100001 => [2,4,1] => 85
[4,3,1,8,2,5,6,7] => 1101000 => [2,1,1,3] => 262
[4,3,1,7,2,5,8,6] => 1101001 => [2,1,1,2,1] => 603
[4,3,1,6,2,8,5,7] => 1101010 => [2,1,1,1,1,1] => 969
[4,3,1,8,2,7,5,6] => 1101010 => [2,1,1,1,1,1] => 969
[4,3,1,6,2,7,8,5] => 1101001 => [2,1,1,2,1] => 603
[8,3,1,5,2,4,6,7] => 1101000 => [2,1,1,3] => 262
[7,3,1,5,2,4,8,6] => 1101001 => [2,1,1,2,1] => 603
[8,3,1,6,2,4,5,7] => 1101000 => [2,1,1,3] => 262
[7,3,1,8,2,4,5,6] => 1101000 => [2,1,1,3] => 262
[7,3,1,6,2,4,8,5] => 1101001 => [2,1,1,2,1] => 603
[6,3,1,5,2,8,4,7] => 1101010 => [2,1,1,1,1,1] => 969
[8,3,1,5,2,7,4,6] => 1101010 => [2,1,1,1,1,1] => 969
[8,3,1,6,2,7,4,5] => 1101010 => [2,1,1,1,1,1] => 969
[6,3,1,5,2,7,8,4] => 1101001 => [2,1,1,2,1] => 603
[8,4,1,5,2,3,6,7] => 1101000 => [2,1,1,3] => 262
[7,4,1,5,2,3,8,6] => 1101001 => [2,1,1,2,1] => 603
[8,4,1,6,2,3,5,7] => 1101000 => [2,1,1,3] => 262
[7,4,1,8,2,3,5,6] => 1101000 => [2,1,1,3] => 262
[7,4,1,6,2,3,8,5] => 1101001 => [2,1,1,2,1] => 603
[6,8,1,5,2,3,4,7] => 0101000 => [1,1,1,1,3] => 450
[8,7,1,5,2,3,4,6] => 1101000 => [2,1,1,3] => 262
[8,7,1,6,2,3,4,5] => 1101000 => [2,1,1,3] => 262
[6,7,1,5,2,3,8,4] => 0101001 => [1,1,1,1,2,1] => 1023
[6,4,1,5,2,8,3,7] => 1101010 => [2,1,1,1,1,1] => 969
[8,4,1,5,2,7,3,6] => 1101010 => [2,1,1,1,1,1] => 969
[8,4,1,6,2,7,3,5] => 1101010 => [2,1,1,1,1,1] => 969
[6,8,1,5,2,7,3,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[6,4,1,5,2,7,8,3] => 1101001 => [2,1,1,2,1] => 603
[4,3,1,5,8,2,6,7] => 1100100 => [2,2,1,2] => 357
[4,3,1,5,7,2,8,6] => 1100101 => [2,2,1,1,1] => 582
[4,3,1,8,6,2,5,7] => 1101100 => [2,1,2,2] => 363
[4,3,1,8,7,2,5,6] => 1101100 => [2,1,2,2] => 363
[4,3,1,7,6,2,8,5] => 1101101 => [2,1,2,1,1] => 594
[8,3,1,5,6,2,4,7] => 1100100 => [2,2,1,2] => 357
[8,3,1,5,7,2,4,6] => 1100100 => [2,2,1,2] => 357
[8,3,1,7,6,2,4,5] => 1101100 => [2,1,2,2] => 363
[7,3,1,5,6,2,8,4] => 1100101 => [2,2,1,1,1] => 582
[8,4,1,5,6,2,3,7] => 1100100 => [2,2,1,2] => 357
[8,4,1,5,7,2,3,6] => 1100100 => [2,2,1,2] => 357
[8,4,1,7,6,2,3,5] => 1101100 => [2,1,2,2] => 363
[7,8,1,5,6,2,3,4] => 0100100 => [1,1,2,1,2] => 611
[7,4,1,5,6,2,8,3] => 1100101 => [2,2,1,1,1] => 582
[4,3,1,5,6,8,2,7] => 1100010 => [2,3,1,1] => 256
[4,3,1,5,8,7,2,6] => 1100110 => [2,2,2,1] => 357
[4,3,1,8,6,7,2,5] => 1101010 => [2,1,1,1,1,1] => 969
[8,3,1,5,6,7,2,4] => 1100010 => [2,3,1,1] => 256
[8,4,1,5,6,7,2,3] => 1100010 => [2,3,1,1] => 256
[4,3,1,5,6,7,8,2] => 1100001 => [2,4,1] => 85
[2,3,8,1,4,7,5,6] => 0010010 => [2,1,2,1,1] => 594
[2,3,8,1,6,4,5,7] => 0010100 => [2,1,1,1,2] => 603
[2,3,8,1,7,4,5,6] => 0010100 => [2,1,1,1,2] => 603
[2,3,7,1,6,4,8,5] => 0010101 => [2,1,1,1,1,1] => 969
[2,3,5,1,8,7,4,6] => 0010110 => [2,1,1,2,1] => 603
[2,3,8,1,6,7,4,5] => 0010010 => [2,1,2,1,1] => 594
[2,8,4,1,3,5,6,7] => 0110000 => [1,2,4] => 85
[2,7,4,1,3,5,8,6] => 0110001 => [1,2,3,1] => 262
[2,6,4,1,3,8,5,7] => 0110010 => [1,2,2,1,1] => 594
[2,8,4,1,3,7,5,6] => 0110010 => [1,2,2,1,1] => 594
[2,6,4,1,3,7,8,5] => 0110001 => [1,2,3,1] => 262
[2,8,5,1,3,4,6,7] => 0110000 => [1,2,4] => 85
[2,7,5,1,3,4,8,6] => 0110001 => [1,2,3,1] => 262
[2,8,7,1,3,4,5,6] => 0110000 => [1,2,4] => 85
[2,6,5,1,3,8,4,7] => 0110010 => [1,2,2,1,1] => 594
[2,8,5,1,3,7,4,6] => 0110010 => [1,2,2,1,1] => 594
[2,6,8,1,3,7,4,5] => 0010010 => [2,1,2,1,1] => 594
[2,6,5,1,3,7,8,4] => 0110001 => [1,2,3,1] => 262
[2,5,4,1,8,3,6,7] => 0110100 => [1,2,1,1,2] => 603
[2,5,4,1,7,3,8,6] => 0110101 => [1,2,1,1,1,1] => 969
[2,8,4,1,6,3,5,7] => 0110100 => [1,2,1,1,2] => 603
[2,8,4,1,7,3,5,6] => 0110100 => [1,2,1,1,2] => 603
[2,7,4,1,6,3,8,5] => 0110101 => [1,2,1,1,1,1] => 969
[2,8,5,1,6,3,4,7] => 0110100 => [1,2,1,1,2] => 603
[2,8,5,1,7,3,4,6] => 0110100 => [1,2,1,1,2] => 603
[2,7,8,1,6,3,4,5] => 0010100 => [2,1,1,1,2] => 603
[2,7,5,1,6,3,8,4] => 0110101 => [1,2,1,1,1,1] => 969
[2,5,4,1,6,8,3,7] => 0110010 => [1,2,2,1,1] => 594
[2,5,4,1,8,7,3,6] => 0110110 => [1,2,1,2,1] => 603
[2,8,4,1,6,7,3,5] => 0110010 => [1,2,2,1,1] => 594
[2,8,5,1,6,7,3,4] => 0110010 => [1,2,2,1,1] => 594
[2,5,4,1,6,7,8,3] => 0110001 => [1,2,3,1] => 262
[7,3,4,1,2,5,8,6] => 1010001 => [1,1,1,3,1] => 450
[6,3,4,1,2,8,5,7] => 1010010 => [1,1,1,2,1,1] => 1006
[8,3,4,1,2,7,5,6] => 1010010 => [1,1,1,2,1,1] => 1006
[6,3,4,1,2,7,8,5] => 1010001 => [1,1,1,3,1] => 450
[7,3,5,1,2,4,8,6] => 1010001 => [1,1,1,3,1] => 450
[6,3,7,1,2,4,8,5] => 1010001 => [1,1,1,3,1] => 450
[6,3,5,1,2,8,4,7] => 1010010 => [1,1,1,2,1,1] => 1006
[8,3,5,1,2,7,4,6] => 1010010 => [1,1,1,2,1,1] => 1006
[6,3,8,1,2,7,4,5] => 1010010 => [1,1,1,2,1,1] => 1006
[6,3,5,1,2,7,8,4] => 1010001 => [1,1,1,3,1] => 450
[7,5,4,1,2,3,8,6] => 1110001 => [3,3,1] => 110
[6,8,4,1,2,3,5,7] => 0110000 => [1,2,4] => 85
[6,7,4,1,2,3,8,5] => 0110001 => [1,2,3,1] => 262
[6,8,5,1,2,3,4,7] => 0110000 => [1,2,4] => 85
[6,7,5,1,2,3,8,4] => 0110001 => [1,2,3,1] => 262
[6,5,4,1,2,8,3,7] => 1110010 => [3,2,1,1] => 256
[8,5,4,1,2,7,3,6] => 1110010 => [3,2,1,1] => 256
[6,8,4,1,2,7,3,5] => 0110010 => [1,2,2,1,1] => 594
[6,8,5,1,2,7,3,4] => 0110010 => [1,2,2,1,1] => 594
[6,5,4,1,2,7,8,3] => 1110001 => [3,3,1] => 110
[5,3,4,1,8,2,6,7] => 1010100 => [1,1,1,1,1,2] => 1023
[5,3,4,1,7,2,8,6] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,3,4,1,6,2,5,7] => 1010100 => [1,1,1,1,1,2] => 1023
[8,3,4,1,7,2,5,6] => 1010100 => [1,1,1,1,1,2] => 1023
[7,3,4,1,6,2,8,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,3,5,1,6,2,4,7] => 1010100 => [1,1,1,1,1,2] => 1023
[8,3,5,1,7,2,4,6] => 1010100 => [1,1,1,1,1,2] => 1023
[7,3,8,1,6,2,4,5] => 1010100 => [1,1,1,1,1,2] => 1023
[7,3,5,1,6,2,8,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,5,4,1,6,2,3,7] => 1110100 => [3,1,1,2] => 259
[8,5,4,1,7,2,3,6] => 1110100 => [3,1,1,2] => 259
[7,8,4,1,6,2,3,5] => 0110100 => [1,2,1,1,2] => 603
[7,8,5,1,6,2,3,4] => 0110100 => [1,2,1,1,2] => 603
[7,5,4,1,6,2,8,3] => 1110101 => [3,1,1,1,1] => 427
[5,3,4,1,6,8,2,7] => 1010010 => [1,1,1,2,1,1] => 1006
[5,3,4,1,8,7,2,6] => 1010110 => [1,1,1,1,2,1] => 1023
[8,3,4,1,6,7,2,5] => 1010010 => [1,1,1,2,1,1] => 1006
[8,3,5,1,6,7,2,4] => 1010010 => [1,1,1,2,1,1] => 1006
[8,5,4,1,6,7,2,3] => 1110010 => [3,2,1,1] => 256
[5,3,4,1,6,7,8,2] => 1010001 => [1,1,1,3,1] => 450
[2,3,4,8,1,7,5,6] => 0001010 => [3,1,1,1,1] => 427
[2,3,8,5,1,4,6,7] => 0011000 => [2,2,3] => 153
[2,3,7,5,1,4,8,6] => 0011001 => [2,2,2,1] => 357
[2,3,8,6,1,4,5,7] => 0011000 => [2,2,3] => 153
[2,3,7,6,1,4,8,5] => 0011001 => [2,2,2,1] => 357
[2,3,6,5,1,8,4,7] => 0011010 => [2,2,1,1,1] => 582
[2,3,8,5,1,7,4,6] => 0011010 => [2,2,1,1,1] => 582
[2,3,8,6,1,7,4,5] => 0011010 => [2,2,1,1,1] => 582
[2,3,6,5,1,7,8,4] => 0011001 => [2,2,2,1] => 357
[2,8,4,5,1,3,6,7] => 0101000 => [1,1,1,1,3] => 450
[2,7,4,5,1,3,8,6] => 0101001 => [1,1,1,1,2,1] => 1023
[2,8,4,6,1,3,5,7] => 0101000 => [1,1,1,1,3] => 450
[2,7,4,8,1,3,5,6] => 0101000 => [1,1,1,1,3] => 450
[2,7,4,6,1,3,8,5] => 0101001 => [1,1,1,1,2,1] => 1023
[2,8,6,5,1,3,4,7] => 0111000 => [1,3,3] => 110
[2,7,8,5,1,3,4,6] => 0011000 => [2,2,3] => 153
[2,7,8,6,1,3,4,5] => 0011000 => [2,2,3] => 153
[2,7,6,5,1,3,8,4] => 0111001 => [1,3,2,1] => 259
[2,6,4,5,1,8,3,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,8,4,5,1,7,3,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,8,4,6,1,7,3,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,8,6,5,1,7,3,4] => 0111010 => [1,3,1,1,1] => 427
[2,6,4,5,1,7,8,3] => 0101001 => [1,1,1,1,2,1] => 1023
[7,3,4,5,1,2,8,6] => 1001001 => [1,2,1,2,1] => 603
[7,3,4,6,1,2,8,5] => 1001001 => [1,2,1,2,1] => 603
[8,3,6,5,1,2,4,7] => 1011000 => [1,1,2,3] => 265
[7,3,8,5,1,2,4,6] => 1011000 => [1,1,2,3] => 265
[7,3,8,6,1,2,4,5] => 1011000 => [1,1,2,3] => 265
[7,3,6,5,1,2,8,4] => 1011001 => [1,1,2,2,1] => 611
[7,6,4,5,1,2,8,3] => 1101001 => [2,1,1,2,1] => 603
[6,3,4,5,1,8,2,7] => 1001010 => [1,2,1,1,1,1] => 969
[8,3,4,5,1,7,2,6] => 1001010 => [1,2,1,1,1,1] => 969
[8,3,4,6,1,7,2,5] => 1001010 => [1,2,1,1,1,1] => 969
[8,3,6,5,1,7,2,4] => 1011010 => [1,1,2,1,1,1] => 984
[8,6,4,5,1,7,2,3] => 1101010 => [2,1,1,1,1,1] => 969
[6,3,4,5,1,7,8,2] => 1001001 => [1,2,1,2,1] => 603
[2,3,4,8,6,1,5,7] => 0001100 => [3,2,2] => 153
[2,3,4,8,7,1,5,6] => 0001100 => [3,2,2] => 153
[2,3,4,7,6,1,8,5] => 0001101 => [3,2,1,1] => 256
[2,3,8,5,6,1,4,7] => 0010100 => [2,1,1,1,2] => 603
[2,3,8,5,7,1,4,6] => 0010100 => [2,1,1,1,2] => 603
[2,3,8,7,6,1,4,5] => 0011100 => [2,3,2] => 153
[2,3,7,5,6,1,8,4] => 0010101 => [2,1,1,1,1,1] => 969
[2,8,4,5,6,1,3,7] => 0100100 => [1,1,2,1,2] => 611
[2,8,4,5,7,1,3,6] => 0100100 => [1,1,2,1,2] => 611
[2,8,4,7,6,1,3,5] => 0101100 => [1,1,1,2,2] => 622
[2,8,7,5,6,1,3,4] => 0110100 => [1,2,1,1,2] => 603
[2,7,4,5,6,1,8,3] => 0100101 => [1,1,2,1,1,1] => 984
[8,3,4,5,7,1,2,6] => 1000100 => [1,3,1,2] => 259
[8,3,4,7,6,1,2,5] => 1001100 => [1,2,2,2] => 363
[8,3,7,5,6,1,2,4] => 1010100 => [1,1,1,1,1,2] => 1023
[7,3,4,5,6,1,8,2] => 1000101 => [1,3,1,1,1] => 427
[2,3,4,5,8,7,1,6] => 0000110 => [4,2,1] => 85
[2,3,4,8,6,7,1,5] => 0001010 => [3,1,1,1,1] => 427
[2,3,8,5,6,7,1,4] => 0010010 => [2,1,2,1,1] => 594
[2,8,4,5,6,7,1,3] => 0100010 => [1,1,3,1,1] => 439
[9,1,2,3,4,5,6,7,8] => 10000000 => [1,7] => 8
[8,1,2,3,4,5,6,9,7] => 10000001 => [1,6,1] => 50
[7,1,2,3,4,5,9,6,8] => 10000010 => [1,5,1,1] => 240
[9,1,2,3,4,5,8,6,7] => 10000010 => [1,5,1,1] => 240
[7,1,2,3,4,5,8,9,6] => 10000001 => [1,6,1] => 50
[6,1,2,3,4,9,5,7,8] => 10000100 => [1,4,1,2] => 526
[6,1,2,3,4,8,5,9,7] => 10000101 => [1,4,1,1,1] => 888
[9,1,2,3,4,7,5,6,8] => 10000100 => [1,4,1,2] => 526
[9,1,2,3,4,8,5,6,7] => 10000100 => [1,4,1,2] => 526
[8,1,2,3,4,7,5,9,6] => 10000101 => [1,4,1,1,1] => 888
[6,1,2,3,4,7,9,5,8] => 10000010 => [1,5,1,1] => 240
[6,1,2,3,4,9,8,5,7] => 10000110 => [1,4,2,1] => 526
[9,1,2,3,4,7,8,5,6] => 10000010 => [1,5,1,1] => 240
[6,1,2,3,4,7,8,9,5] => 10000001 => [1,6,1] => 50
[5,1,2,3,8,4,6,9,7] => 10001001 => [1,3,1,2,1] => 1576
[9,1,2,3,6,4,5,7,8] => 10001000 => [1,3,1,3] => 676
[8,1,2,3,9,4,5,6,7] => 10001000 => [1,3,1,3] => 676
[5,1,2,3,9,8,4,6,7] => 10001100 => [1,3,2,2] => 936
[9,1,2,3,6,8,4,5,7] => 10000100 => [1,4,1,2] => 526
[5,1,2,3,6,9,8,4,7] => 10000110 => [1,4,2,1] => 526
[5,1,2,3,6,7,8,9,4] => 10000001 => [1,6,1] => 50
[4,1,2,8,3,5,6,9,7] => 10010001 => [1,2,1,3,1] => 1612
[4,1,2,9,3,5,8,6,7] => 10010010 => [1,2,1,2,1,1] => 3652
[4,1,2,9,3,8,5,6,7] => 10010100 => [1,2,1,1,1,2] => 3696
[9,1,2,5,3,4,6,7,8] => 10010000 => [1,2,1,4] => 534
[9,1,2,8,3,4,5,6,7] => 10010000 => [1,2,1,4] => 534
[7,1,2,8,3,4,5,9,6] => 10010001 => [1,2,1,3,1] => 1612
[4,1,2,5,9,3,6,7,8] => 10001000 => [1,3,1,3] => 676
[4,1,2,8,9,3,5,6,7] => 10001000 => [1,3,1,3] => 676
[8,1,2,5,9,3,4,6,7] => 10001000 => [1,3,1,3] => 676
[8,1,2,9,6,3,4,5,7] => 10011000 => [1,2,2,3] => 946
[4,1,2,5,9,8,3,6,7] => 10001100 => [1,3,2,2] => 936
[9,1,2,8,6,7,3,4,5] => 10010100 => [1,2,1,1,1,2] => 3696
[4,1,2,5,6,7,9,3,8] => 10000010 => [1,5,1,1] => 240
[4,1,2,9,6,7,8,3,5] => 10010010 => [1,2,1,2,1,1] => 3652
[9,1,2,5,6,7,8,3,4] => 10000010 => [1,5,1,1] => 240
[4,1,2,5,6,7,8,9,3] => 10000001 => [1,6,1] => 50
[3,1,9,2,4,5,6,7,8] => 10100000 => [1,1,1,5] => 244
[3,1,8,2,4,5,6,9,7] => 10100001 => [1,1,1,4,1] => 934
[3,1,9,2,4,5,8,6,7] => 10100010 => [1,1,1,3,1,1] => 2732
[3,1,5,2,7,4,9,6,8] => 10101010 => [1,1,1,1,1,1,1,1] => 10176
[8,1,4,2,3,5,6,9,7] => 10100001 => [1,1,1,4,1] => 934
[9,1,4,2,3,5,8,6,7] => 10100010 => [1,1,1,3,1,1] => 2732
[6,1,4,2,3,7,8,9,5] => 10100001 => [1,1,1,4,1] => 934
[9,1,8,2,3,4,5,6,7] => 10100000 => [1,1,1,5] => 244
[8,1,7,2,3,4,5,9,6] => 10100001 => [1,1,1,4,1] => 934
[3,1,4,9,2,5,6,7,8] => 10010000 => [1,2,1,4] => 534
[3,1,4,9,2,5,8,6,7] => 10010010 => [1,2,1,2,1,1] => 3652
[3,1,9,8,2,4,5,6,7] => 10110000 => [1,1,2,4] => 538
[9,1,4,5,2,3,6,7,8] => 10010000 => [1,2,1,4] => 534
[7,1,4,5,2,3,8,9,6] => 10010001 => [1,2,1,3,1] => 1612
[7,1,4,9,2,3,5,6,8] => 10010000 => [1,2,1,4] => 534
[9,1,4,8,2,3,5,6,7] => 10010000 => [1,2,1,4] => 534
[9,1,6,5,2,3,4,7,8] => 10110000 => [1,1,2,4] => 538
[7,1,9,6,2,3,4,5,8] => 10110000 => [1,1,2,4] => 538
[9,1,8,6,2,3,4,5,7] => 10110000 => [1,1,2,4] => 538
[7,1,8,9,2,3,4,5,6] => 10010000 => [1,2,1,4] => 534
[3,1,4,8,9,2,5,6,7] => 10001000 => [1,3,1,3] => 676
[3,1,8,9,7,2,4,5,6] => 10011000 => [1,2,2,3] => 946
[8,1,4,5,6,2,3,9,7] => 10001001 => [1,3,1,2,1] => 1576
[8,1,4,9,7,2,3,5,6] => 10011000 => [1,2,2,3] => 946
[8,1,9,5,6,2,3,4,7] => 10101000 => [1,1,1,1,1,3] => 2790
[8,1,9,7,6,2,3,4,5] => 10111000 => [1,1,3,3] => 688
[7,1,4,5,6,2,8,9,3] => 10001001 => [1,3,1,2,1] => 1576
[3,1,4,5,6,9,2,7,8] => 10000100 => [1,4,1,2] => 526
[3,1,4,5,6,8,2,9,7] => 10000101 => [1,4,1,1,1] => 888
[3,1,4,9,8,7,2,5,6] => 10011100 => [1,2,3,2] => 946
[3,1,9,8,6,7,2,4,5] => 10110100 => [1,1,2,1,1,2] => 3732
[9,1,4,5,6,7,2,3,8] => 10000100 => [1,4,1,2] => 526
[9,1,4,8,6,7,2,3,5] => 10010100 => [1,2,1,1,1,2] => 3696
[9,1,8,5,6,7,2,3,4] => 10100100 => [1,1,1,2,1,2] => 3790
[8,1,4,5,6,7,2,9,3] => 10000101 => [1,4,1,1,1] => 888
[3,1,4,5,6,7,9,2,8] => 10000010 => [1,5,1,1] => 240
[3,1,4,9,6,7,8,2,5] => 10010010 => [1,2,1,2,1,1] => 3652
[3,1,9,5,6,7,8,2,4] => 10100010 => [1,1,1,3,1,1] => 2732
[9,1,4,5,6,7,8,2,3] => 10000010 => [1,5,1,1] => 240
[3,1,4,5,6,7,8,9,2] => 10000001 => [1,6,1] => 50
[2,9,1,3,4,5,6,7,8] => 01000000 => [1,1,6] => 50
[2,8,1,3,4,5,6,9,7] => 01000001 => [1,1,5,1] => 244
[2,7,1,3,4,5,9,6,8] => 01000010 => [1,1,4,1,1] => 912
[2,9,1,3,4,5,8,6,7] => 01000010 => [1,1,4,1,1] => 912
[2,7,1,3,4,5,8,9,6] => 01000001 => [1,1,5,1] => 244
[2,6,1,3,4,9,5,7,8] => 01000100 => [1,1,3,1,2] => 1608
[2,9,1,3,4,8,5,6,7] => 01000100 => [1,1,3,1,2] => 1608
[2,8,1,3,9,4,5,6,7] => 01001000 => [1,1,2,1,3] => 1626
[2,9,1,3,8,7,4,5,6] => 01001100 => [1,1,2,2,2] => 2246
[2,9,1,3,6,7,8,4,5] => 01000010 => [1,1,4,1,1] => 912
[2,5,1,3,6,7,8,9,4] => 01000001 => [1,1,5,1] => 244
[2,4,1,6,3,8,5,9,7] => 01010101 => [1,1,1,1,1,1,1,1] => 10176
[2,9,1,8,3,4,5,6,7] => 01010000 => [1,1,1,1,4] => 934
[2,7,1,6,3,4,8,9,5] => 01010001 => [1,1,1,1,3,1] => 2790
[2,6,1,5,3,7,8,9,4] => 01010001 => [1,1,1,1,3,1] => 2790
[2,4,1,5,9,3,6,7,8] => 01001000 => [1,1,2,1,3] => 1626
[2,4,1,8,9,3,5,6,7] => 01001000 => [1,1,2,1,3] => 1626
[2,8,1,9,7,3,4,5,6] => 01011000 => [1,1,1,2,3] => 1648
[2,9,1,8,6,7,3,4,5] => 01010100 => [1,1,1,1,1,1,2] => 6344
[2,4,1,5,6,7,9,3,8] => 01000010 => [1,1,4,1,1] => 912
[2,4,1,5,6,9,8,3,7] => 01000110 => [1,1,3,2,1] => 1608
[2,9,1,5,6,7,8,3,4] => 01000010 => [1,1,4,1,1] => 912
[2,4,1,5,6,7,8,9,3] => 01000001 => [1,1,5,1] => 244
[9,3,1,2,4,5,6,7,8] => 11000000 => [2,6] => 28
[8,3,1,2,4,5,6,9,7] => 11000001 => [2,5,1] => 138
[9,3,1,2,4,5,8,6,7] => 11000010 => [2,4,1,1] => 522
[6,3,1,2,4,7,8,9,5] => 11000001 => [2,5,1] => 138
[9,3,1,2,6,7,8,4,5] => 11000010 => [2,4,1,1] => 522
[5,3,1,2,6,7,8,9,4] => 11000001 => [2,5,1] => 138
[9,4,1,2,3,5,6,7,8] => 11000000 => [2,6] => 28
[7,4,1,2,3,5,8,9,6] => 11000001 => [2,5,1] => 138
[6,4,1,2,3,7,8,9,5] => 11000001 => [2,5,1] => 138
[5,9,1,2,3,4,6,7,8] => 01000000 => [1,1,6] => 50
[5,8,1,2,3,4,6,9,7] => 01000001 => [1,1,5,1] => 244
[5,7,1,2,3,4,8,9,6] => 01000001 => [1,1,5,1] => 244
[9,6,1,2,3,4,5,7,8] => 11000000 => [2,6] => 28
[8,6,1,2,3,4,5,9,7] => 11000001 => [2,5,1] => 138
[9,7,1,2,3,4,5,6,8] => 11000000 => [2,6] => 28
[8,9,1,2,3,4,5,6,7] => 01000000 => [1,1,6] => 50
[8,7,1,2,3,4,5,9,6] => 11000001 => [2,5,1] => 138
[7,6,1,2,3,4,9,5,8] => 11000010 => [2,4,1,1] => 522
[9,6,1,2,3,4,8,5,7] => 11000010 => [2,4,1,1] => 522
[9,7,1,2,3,4,8,5,6] => 11000010 => [2,4,1,1] => 522
[7,6,1,2,3,4,8,9,5] => 11000001 => [2,5,1] => 138
[5,6,1,2,3,9,4,7,8] => 01000100 => [1,1,3,1,2] => 1608
[5,9,1,2,3,8,4,6,7] => 01000100 => [1,1,3,1,2] => 1608
[9,6,1,2,3,7,4,5,8] => 11000100 => [2,3,1,2] => 924
[9,8,1,2,3,7,4,5,6] => 11000100 => [2,3,1,2] => 924
[8,6,1,2,3,7,4,9,5] => 11000101 => [2,3,1,1,1] => 1536
[5,6,1,2,3,7,9,4,8] => 01000010 => [1,1,4,1,1] => 912
[9,6,1,2,3,7,8,4,5] => 11000010 => [2,4,1,1] => 522
[5,6,1,2,3,7,8,9,4] => 01000001 => [1,1,5,1] => 244
[5,4,1,2,9,3,6,7,8] => 11001000 => [2,2,1,3] => 934
[8,4,1,2,9,3,5,6,7] => 11001000 => [2,2,1,3] => 934
[5,9,1,2,6,3,4,7,8] => 01001000 => [1,1,2,1,3] => 1626
[9,7,1,2,6,3,8,4,5] => 11001010 => [2,2,1,1,1,1] => 3528
[5,4,1,2,6,9,3,7,8] => 11000100 => [2,3,1,2] => 924
[9,8,1,2,6,7,3,4,5] => 11000100 => [2,3,1,2] => 924
[5,4,1,2,6,7,9,3,8] => 11000010 => [2,4,1,1] => 522
[5,4,1,2,6,7,8,9,3] => 11000001 => [2,5,1] => 138
[4,3,1,9,2,5,6,7,8] => 11010000 => [2,1,1,4] => 534
[9,3,1,8,2,4,5,6,7] => 11010000 => [2,1,1,4] => 534
[9,4,1,5,2,3,6,7,8] => 11010000 => [2,1,1,4] => 534
[9,4,1,8,2,3,5,6,7] => 11010000 => [2,1,1,4] => 534
[6,9,1,5,2,3,4,7,8] => 01010000 => [1,1,1,1,4] => 934
[9,7,1,6,2,3,4,5,8] => 11010000 => [2,1,1,4] => 534
[8,7,1,9,2,3,4,5,6] => 11010000 => [2,1,1,4] => 534
[8,7,1,6,2,3,4,9,5] => 11010001 => [2,1,1,3,1] => 1612
[9,4,1,6,2,8,3,5,7] => 11010100 => [2,1,1,1,1,2] => 3696
[9,8,1,6,2,7,3,4,5] => 11010100 => [2,1,1,1,1,2] => 3696
[4,3,1,5,9,2,6,7,8] => 11001000 => [2,2,1,3] => 934
[9,8,1,7,6,2,3,4,5] => 11011000 => [2,1,2,3] => 946
[4,3,1,5,6,8,2,9,7] => 11000101 => [2,3,1,1,1] => 1536
[4,3,1,5,9,8,2,6,7] => 11001100 => [2,2,2,2] => 1292
[4,3,1,5,8,7,2,9,6] => 11001101 => [2,2,2,1,1] => 2138
[8,9,1,5,6,7,2,3,4] => 01000100 => [1,1,3,1,2] => 1608
[4,3,1,5,6,7,9,2,8] => 11000010 => [2,4,1,1] => 522
[4,3,1,5,6,9,8,2,7] => 11000110 => [2,3,2,1] => 924
[9,3,1,5,6,7,8,2,4] => 11000010 => [2,4,1,1] => 522
[9,4,1,5,6,7,8,2,3] => 11000010 => [2,4,1,1] => 522
[4,3,1,5,6,7,8,9,2] => 11000001 => [2,5,1] => 138
[2,3,9,1,4,5,6,7,8] => 00100000 => [2,1,5] => 138
[2,3,8,1,4,5,6,9,7] => 00100001 => [2,1,4,1] => 534
[2,3,9,1,4,5,8,6,7] => 00100010 => [2,1,3,1,1] => 1580
[2,3,9,1,4,7,8,5,6] => 00100010 => [2,1,3,1,1] => 1580
[2,3,9,1,8,7,4,5,6] => 00101100 => [2,1,1,2,2] => 2226
[2,3,8,1,6,7,4,9,5] => 00100101 => [2,1,2,1,1,1] => 3588
[2,3,5,1,6,7,9,4,8] => 00100010 => [2,1,3,1,1] => 1580
[2,3,9,1,6,7,8,4,5] => 00100010 => [2,1,3,1,1] => 1580
[2,3,5,1,6,7,8,9,4] => 00100001 => [2,1,4,1] => 534
[2,9,4,1,3,5,6,7,8] => 01100000 => [1,2,5] => 138
[2,6,4,1,3,7,8,9,5] => 01100001 => [1,2,4,1] => 534
[2,9,5,1,3,4,6,7,8] => 01100000 => [1,2,5] => 138
[2,6,9,1,3,4,5,7,8] => 00100000 => [2,1,5] => 138
[2,9,7,1,3,4,5,6,8] => 01100000 => [1,2,5] => 138
[2,9,8,1,3,4,5,6,7] => 01100000 => [1,2,5] => 138
[2,6,7,1,3,4,8,9,5] => 00100001 => [2,1,4,1] => 534
[2,9,4,1,6,3,5,7,8] => 01101000 => [1,2,1,1,3] => 1612
[2,8,4,1,9,3,5,6,7] => 01101000 => [1,2,1,1,3] => 1612
[2,9,4,1,6,3,8,5,7] => 01101010 => [1,2,1,1,1,1,1] => 5976
[2,9,8,1,7,3,4,5,6] => 01101000 => [1,2,1,1,3] => 1612
[2,9,5,1,6,7,8,3,4] => 01100010 => [1,2,3,1,1] => 1580
[9,3,4,1,2,5,6,7,8] => 10100000 => [1,1,1,5] => 244
[6,3,4,1,2,7,8,9,5] => 10100001 => [1,1,1,4,1] => 934
[9,3,7,1,2,4,5,6,8] => 10100000 => [1,1,1,5] => 244
[9,3,8,1,2,4,5,6,7] => 10100000 => [1,1,1,5] => 244
[9,5,4,1,2,3,6,7,8] => 11100000 => [3,5] => 56
[8,5,4,1,2,3,6,9,7] => 11100001 => [3,4,1] => 220
[6,9,4,1,2,3,5,7,8] => 01100000 => [1,2,5] => 138
[6,8,4,1,2,3,5,9,7] => 01100001 => [1,2,4,1] => 534
[9,7,4,1,2,3,5,6,8] => 11100000 => [3,5] => 56
[9,8,4,1,2,3,5,6,7] => 11100000 => [3,5] => 56
[6,9,5,1,2,3,4,7,8] => 01100000 => [1,2,5] => 138
[6,8,5,1,2,3,4,9,7] => 01100001 => [1,2,4,1] => 534
[8,7,5,1,2,3,4,9,6] => 11100001 => [3,4,1] => 220
[6,7,9,1,2,3,4,5,8] => 00100000 => [2,1,5] => 138
[6,9,8,1,2,3,4,5,7] => 01100000 => [1,2,5] => 138
[9,7,8,1,2,3,4,5,6] => 10100000 => [1,1,1,5] => 244
[6,7,8,1,2,3,4,9,5] => 00100001 => [2,1,4,1] => 534
[6,5,4,1,2,8,3,9,7] => 11100101 => [3,2,1,1,1] => 1536
[9,8,5,1,7,2,3,4,6] => 11101000 => [3,1,1,3] => 676
[7,8,9,1,6,2,3,4,5] => 00101000 => [2,1,1,1,3] => 1612
[7,8,5,1,6,2,3,9,4] => 01101001 => [1,2,1,1,2,1] => 3696
[5,3,4,1,6,8,2,9,7] => 10100101 => [1,1,1,2,1,1,1] => 6148
[9,3,4,1,8,7,2,5,6] => 10101100 => [1,1,1,1,2,2] => 3848
[8,3,4,1,6,7,2,9,5] => 10100101 => [1,1,1,2,1,1,1] => 6148
[9,5,4,1,8,7,2,3,6] => 11101100 => [3,1,2,2] => 936
[8,5,4,1,6,7,2,9,3] => 11100101 => [3,2,1,1,1] => 1536
[5,3,4,1,9,7,8,2,6] => 10101010 => [1,1,1,1,1,1,1,1] => 10176
[9,3,5,1,6,7,8,2,4] => 10100010 => [1,1,1,3,1,1] => 2732
[9,5,4,1,6,7,8,2,3] => 11100010 => [3,3,1,1] => 664
[5,3,4,1,6,7,8,9,2] => 10100001 => [1,1,1,4,1] => 934
[2,3,4,9,1,5,6,7,8] => 00010000 => [3,1,4] => 220
[2,3,4,9,1,5,8,6,7] => 00010010 => [3,1,2,1,1] => 1560
[2,3,4,9,1,7,8,5,6] => 00010010 => [3,1,2,1,1] => 1560
[2,3,4,6,1,7,8,9,5] => 00010001 => [3,1,3,1] => 676
[2,3,9,5,1,4,6,7,8] => 00110000 => [2,2,4] => 306
[2,3,9,6,1,4,5,7,8] => 00110000 => [2,2,4] => 306
[2,3,7,9,1,4,5,6,8] => 00010000 => [3,1,4] => 220
[2,3,9,8,1,4,5,6,7] => 00110000 => [2,2,4] => 306
[2,3,9,5,1,7,4,6,8] => 00110100 => [2,2,1,1,2] => 2162
[2,3,9,6,1,7,8,4,5] => 00110010 => [2,2,2,1,1] => 2138
[2,9,4,5,1,3,6,7,8] => 01010000 => [1,1,1,1,4] => 934
[2,7,4,5,1,3,8,9,6] => 01010001 => [1,1,1,1,3,1] => 2790
[2,9,8,6,1,3,4,5,7] => 01110000 => [1,3,4] => 220
[2,7,8,9,1,3,4,5,6] => 00010000 => [3,1,4] => 220
[2,8,9,6,1,7,3,4,5] => 00110100 => [2,2,1,1,2] => 2162
[2,9,6,5,1,7,8,3,4] => 01110010 => [1,3,2,1,1] => 1560
[7,3,4,5,1,2,8,9,6] => 10010001 => [1,2,1,3,1] => 1612
[9,3,4,8,1,2,5,6,7] => 10010000 => [1,2,1,4] => 534
[7,3,4,8,1,2,5,9,6] => 10010001 => [1,2,1,3,1] => 1612
[7,3,8,9,1,2,4,5,6] => 10010000 => [1,2,1,4] => 534
[9,8,4,5,1,2,3,6,7] => 11010000 => [2,1,1,4] => 534
[7,8,4,6,1,2,3,9,5] => 01010001 => [1,1,1,1,3,1] => 2790
[9,8,6,5,1,2,3,4,7] => 11110000 => [4,4] => 70
[7,8,9,6,1,2,3,4,5] => 00110000 => [2,2,4] => 306
[7,8,6,5,1,2,3,9,4] => 01110001 => [1,3,3,1] => 676
[8,3,9,6,1,7,2,4,5] => 10110100 => [1,1,2,1,1,2] => 3732
[8,3,6,5,1,7,2,9,4] => 10110101 => [1,1,2,1,1,1,1] => 6040
[8,6,4,5,1,7,2,9,3] => 11010101 => [2,1,1,1,1,1,1] => 5976
[6,3,4,5,1,7,9,2,8] => 10010010 => [1,2,1,2,1,1] => 3652
[6,3,4,5,1,9,8,2,7] => 10010110 => [1,2,1,1,2,1] => 3696
[9,3,4,6,1,7,8,2,5] => 10010010 => [1,2,1,2,1,1] => 3652
[6,3,4,5,1,7,8,9,2] => 10010001 => [1,2,1,3,1] => 1612
[2,3,4,5,9,1,6,7,8] => 00001000 => [4,1,3] => 220
[2,3,4,5,8,1,6,9,7] => 00001001 => [4,1,2,1] => 526
[2,3,4,5,9,1,8,6,7] => 00001010 => [4,1,1,1,1] => 888
[2,3,4,5,7,1,8,9,6] => 00001001 => [4,1,2,1] => 526
[2,3,4,9,6,1,5,7,8] => 00011000 => [3,2,3] => 392
[2,3,4,9,7,1,5,6,8] => 00011000 => [3,2,3] => 392
[2,3,4,9,6,1,8,5,7] => 00011010 => [3,2,1,1,1] => 1536
[2,3,4,9,7,1,8,5,6] => 00011010 => [3,2,1,1,1] => 1536
[2,3,9,5,6,1,4,7,8] => 00101000 => [2,1,1,1,3] => 1612
[2,3,8,5,6,1,4,9,7] => 00101001 => [2,1,1,1,2,1] => 3696
[2,3,9,5,6,1,8,4,7] => 00101010 => [2,1,1,1,1,1,1] => 5976
[2,8,4,5,6,1,3,9,7] => 01001001 => [1,1,2,1,2,1] => 3732
[2,8,9,5,7,1,3,4,6] => 00101000 => [2,1,1,1,3] => 1612
[2,8,9,7,6,1,3,4,5] => 00111000 => [2,3,3] => 392
[2,9,7,5,6,1,8,3,4] => 01101010 => [1,2,1,1,1,1,1] => 5976
[8,3,4,5,6,1,2,9,7] => 10001001 => [1,3,1,2,1] => 1576
[8,3,4,7,6,1,2,9,5] => 10011001 => [1,2,2,2,1] => 2194
[8,3,9,7,6,1,2,4,5] => 10111000 => [1,1,3,3] => 688
[8,3,7,5,6,1,2,9,4] => 10101001 => [1,1,1,1,1,2,1] => 6344
[9,7,4,5,6,1,2,3,8] => 11001000 => [2,2,1,3] => 934
[8,9,4,5,6,1,2,3,7] => 01001000 => [1,1,2,1,3] => 1626
[8,9,7,5,6,1,2,3,4] => 01101000 => [1,2,1,1,3] => 1612
[8,7,4,5,6,1,2,9,3] => 11001001 => [2,2,1,2,1] => 2162
[7,3,4,5,6,1,9,2,8] => 10001010 => [1,3,1,1,1,1] => 2592
[9,3,4,5,6,1,8,2,7] => 10001010 => [1,3,1,1,1,1] => 2592
[9,3,7,5,6,1,8,2,4] => 10101010 => [1,1,1,1,1,1,1,1] => 10176
[7,3,4,5,6,1,8,9,2] => 10001001 => [1,3,1,2,1] => 1576
[2,3,4,5,6,9,1,7,8] => 00000100 => [5,1,2] => 138
[2,3,4,5,6,8,1,9,7] => 00000101 => [5,1,1,1] => 240
[2,3,4,5,9,7,1,6,8] => 00001100 => [4,2,2] => 306
[2,3,4,5,9,8,1,6,7] => 00001100 => [4,2,2] => 306
[2,3,4,9,6,7,1,5,8] => 00010100 => [3,1,1,1,2] => 1576
[2,3,9,5,6,7,1,4,8] => 00100100 => [2,1,2,1,2] => 2194
[2,3,9,5,6,8,1,4,7] => 00100100 => [2,1,2,1,2] => 2194
[2,9,4,5,6,7,1,3,8] => 01000100 => [1,1,3,1,2] => 1608
[2,9,4,5,6,8,1,3,7] => 01000100 => [1,1,3,1,2] => 1608
[2,9,4,5,8,7,1,3,6] => 01001100 => [1,1,2,2,2] => 2246
[2,9,4,8,6,7,1,3,5] => 01010100 => [1,1,1,1,1,1,2] => 6344
[2,9,8,5,6,7,1,3,4] => 01100100 => [1,2,2,1,2] => 2194
[2,8,4,5,6,7,1,9,3] => 01000101 => [1,1,3,1,1,1] => 2652
[9,3,4,5,6,7,1,2,8] => 10000100 => [1,4,1,2] => 526
[9,3,4,5,6,8,1,2,7] => 10000100 => [1,4,1,2] => 526
[9,8,4,5,6,7,1,2,3] => 11000100 => [2,3,1,2] => 924
[8,3,4,5,6,7,1,9,2] => 10000101 => [1,4,1,1,1] => 888
[2,3,4,5,6,7,9,1,8] => 00000010 => [6,1,1] => 50
[2,3,4,5,6,9,8,1,7] => 00000110 => [5,2,1] => 138
[2,3,4,5,9,7,8,1,6] => 00001010 => [4,1,1,1,1] => 888
[2,3,4,9,6,7,8,1,5] => 00010010 => [3,1,2,1,1] => 1560
[2,3,9,5,6,7,8,1,4] => 00100010 => [2,1,3,1,1] => 1580
[2,9,4,5,6,7,8,1,3] => 01000010 => [1,1,4,1,1] => 912
[9,3,4,5,6,7,8,1,2] => 10000010 => [1,5,1,1] => 240
[2,3,4,5,6,7,8,9,1] => 00000001 => [7,1] => 8
[3,5,2,6,1,4,8,7] => 0101001 => [1,1,1,1,2,1] => 1023
[3,5,2,6,4,1,8,7] => 0101101 => [1,1,1,2,1,1] => 1006
[3,5,2,7,4,8,1,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,5,2,7,4,8,6,1] => 0101011 => [1,1,1,1,1,2] => 1023
[4,5,7,2,3,8,6,1] => 0010011 => [2,1,2,2] => 363
[4,5,7,2,3,8,1,6] => 0010010 => [2,1,2,1,1] => 594
[4,5,6,2,3,1,8,7] => 0010101 => [2,1,1,1,1,1] => 969
[4,5,6,2,1,3,8,7] => 0011001 => [2,2,2,1] => 357
[3,5,1,6,4,2,8,7] => 0101101 => [1,1,1,2,1,1] => 1006
[4,5,6,1,3,2,8,7] => 0010101 => [2,1,1,1,1,1] => 969
[4,5,6,3,1,2,8,7] => 0011001 => [2,2,2,1] => 357
[4,5,7,3,2,8,1,6] => 0011010 => [2,2,1,1,1] => 582
[4,5,7,3,2,8,6,1] => 0011011 => [2,2,1,2] => 357
[4,6,7,3,8,2,5,1] => 0010101 => [2,1,1,1,1,1] => 969
[4,6,7,3,8,2,1,5] => 0010110 => [2,1,1,2,1] => 603
[4,6,7,3,8,1,2,5] => 0010100 => [2,1,1,1,2] => 603
[4,5,7,3,1,8,2,6] => 0011010 => [2,2,1,1,1] => 582
[4,5,7,1,3,8,2,6] => 0010010 => [2,1,2,1,1] => 594
[3,5,1,7,4,8,2,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,1,5,7,4,8,3,6] => 1001010 => [1,2,1,1,1,1] => 969
[2,1,5,7,4,8,6,3] => 1001011 => [1,2,1,1,2] => 603
[3,5,1,7,4,8,6,2] => 0101011 => [1,1,1,1,1,2] => 1023
[4,5,7,1,3,8,6,2] => 0010011 => [2,1,2,2] => 363
[4,5,7,3,1,8,6,2] => 0011011 => [2,2,1,2] => 357
[4,6,7,3,8,1,5,2] => 0010101 => [2,1,1,1,1,1] => 969
[4,6,7,3,8,5,1,2] => 0010110 => [2,1,1,2,1] => 603
[4,6,7,3,8,5,2,1] => 0010111 => [2,1,1,3] => 262
[5,6,7,8,3,1,4,2] => 0001101 => [3,2,1,1] => 256
[5,6,7,8,1,3,4,2] => 0001001 => [3,1,2,1] => 259
[4,6,7,1,8,3,5,2] => 0010101 => [2,1,1,1,1,1] => 969
[3,6,1,7,8,4,5,2] => 0100101 => [1,1,2,1,1,1] => 984
[2,1,6,7,8,4,5,3] => 1000101 => [1,3,1,1,1] => 427
[2,1,6,7,8,4,3,5] => 1000110 => [1,3,2,1] => 259
[3,6,1,7,8,4,2,5] => 0100110 => [1,1,2,2,1] => 611
[4,6,7,1,8,3,2,5] => 0010110 => [2,1,1,2,1] => 603
[5,6,7,8,1,3,2,4] => 0001010 => [3,1,1,1,1] => 427
[4,5,7,2,1,8,3,6] => 0011010 => [2,2,1,1,1] => 582
[4,6,7,2,8,1,3,5] => 0010100 => [2,1,1,1,2] => 603
[4,6,7,2,8,3,1,5] => 0010110 => [2,1,1,2,1] => 603
[4,6,7,2,8,3,5,1] => 0010101 => [2,1,1,1,1,1] => 969
[3,6,2,7,8,4,5,1] => 0100101 => [1,1,2,1,1,1] => 984
[3,6,2,7,8,4,1,5] => 0100110 => [1,1,2,2,1] => 611
[3,6,2,7,8,1,4,5] => 0100100 => [1,1,2,1,2] => 611
[3,5,2,7,1,8,4,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,4,2,1,7,8,5,6] => 0110010 => [1,2,2,1,1] => 594
[3,4,1,2,7,8,6,5] => 0100011 => [1,1,3,2] => 265
[3,5,2,7,1,8,6,4] => 0101011 => [1,1,1,1,1,2] => 1023
[3,6,2,7,8,1,5,4] => 0100101 => [1,1,2,1,1,1] => 984
[3,6,2,7,8,5,1,4] => 0100110 => [1,1,2,2,1] => 611
[3,6,2,7,8,5,4,1] => 0100111 => [1,1,2,3] => 265
[4,6,7,2,8,5,3,1] => 0010111 => [2,1,1,3] => 262
[4,6,7,2,8,5,1,3] => 0010110 => [2,1,1,2,1] => 603
[4,6,7,2,8,1,5,3] => 0010101 => [2,1,1,1,1,1] => 969
[4,5,7,2,1,8,6,3] => 0011011 => [2,2,1,2] => 357
[4,5,7,1,2,8,6,3] => 0010011 => [2,1,2,2] => 363
[3,5,1,7,2,8,6,4] => 0101011 => [1,1,1,1,1,2] => 1023
[2,1,5,7,3,8,6,4] => 1001011 => [1,2,1,1,2] => 603
[2,1,6,7,8,3,5,4] => 1000101 => [1,3,1,1,1] => 427
[3,6,1,7,8,2,5,4] => 0100101 => [1,1,2,1,1,1] => 984
[4,6,7,1,8,2,5,3] => 0010101 => [2,1,1,1,1,1] => 969
[5,6,7,8,1,2,4,3] => 0001001 => [3,1,2,1] => 259
[5,6,7,8,2,1,4,3] => 0001101 => [3,2,1,1] => 256
[5,6,7,8,2,4,1,3] => 0001010 => [3,1,1,1,1] => 427
[5,6,7,8,2,4,3,1] => 0001011 => [3,1,1,2] => 259
[5,6,7,8,1,4,2,3] => 0001010 => [3,1,1,1,1] => 427
[4,6,7,1,8,5,2,3] => 0010110 => [2,1,1,2,1] => 603
[3,6,1,7,8,5,2,4] => 0100110 => [1,1,2,2,1] => 611
[2,1,6,7,8,5,3,4] => 1000110 => [1,3,2,1] => 259
[3,6,1,7,8,5,4,2] => 0100111 => [1,1,2,3] => 265
[4,6,7,1,8,5,3,2] => 0010111 => [2,1,1,3] => 262
[5,6,7,8,1,4,3,2] => 0001011 => [3,1,1,2] => 259
[5,6,7,8,4,1,3,2] => 0001101 => [3,2,1,1] => 256
[6,5,8,7,3,4,1,2] => 1011010 => [1,1,2,1,1,1] => 984
[3,6,7,4,5,8,1,2] => 0010010 => [2,1,2,1,1] => 594
[2,6,7,4,5,1,8,3] => 0010101 => [2,1,1,1,1,1] => 969
[1,6,7,4,5,2,3,8] => 0010100 => [2,1,1,1,2] => 603
[1,5,4,7,6,2,3,8] => 0101100 => [1,1,1,2,2] => 622
[2,5,4,7,6,1,8,3] => 0101101 => [1,1,1,2,1,1] => 1006
[3,5,4,7,6,8,1,2] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,5,3,7,8,6,1,2] => 0100110 => [1,1,2,2,1] => 611
[5,4,3,8,7,6,1,2] => 1101110 => [2,1,3,1] => 262
[6,4,8,3,7,5,1,2] => 1010110 => [1,1,1,1,2,1] => 1023
[6,3,8,4,5,7,1,2] => 1010010 => [1,1,1,2,1,1] => 1006
[5,3,4,8,6,7,1,2] => 1001010 => [1,2,1,1,1,1] => 969
[4,3,5,6,8,7,1,2] => 1000110 => [1,3,2,1] => 259
[3,2,5,6,1,8,7,4] => 1001011 => [1,2,1,1,2] => 603
[4,2,5,6,8,1,7,3] => 1000101 => [1,3,1,1,1] => 427
[5,2,4,8,6,1,7,3] => 1001101 => [1,2,2,1,1] => 594
[6,2,8,4,5,1,7,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,8,2,4,5,1,6,3] => 0100101 => [1,1,2,1,1,1] => 984
[7,8,1,4,5,2,3,6] => 0100100 => [1,1,2,1,2] => 611
[6,1,8,4,5,2,3,7] => 1010100 => [1,1,1,1,1,2] => 1023
[5,1,4,8,6,2,3,7] => 1001100 => [1,2,2,2] => 363
[4,1,3,2,8,6,5,7] => 1010110 => [1,1,1,1,2,1] => 1023
[5,1,3,8,2,6,4,7] => 1001010 => [1,2,1,1,1,1] => 969
[6,1,8,3,2,5,4,7] => 1011010 => [1,1,2,1,1,1] => 984
[7,8,1,3,2,5,4,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[7,8,2,3,1,5,6,4] => 0101001 => [1,1,1,1,2,1] => 1023
[6,2,8,3,1,5,7,4] => 1011001 => [1,1,2,2,1] => 611
[5,2,3,8,1,6,7,4] => 1001001 => [1,2,1,2,1] => 603
[6,3,8,2,1,7,5,4] => 1011011 => [1,1,2,1,2] => 611
[7,8,3,2,1,6,5,4] => 0111011 => [1,3,1,2] => 259
[7,8,4,2,6,1,5,3] => 0110101 => [1,2,1,1,1,1] => 969
[5,4,2,8,7,1,6,3] => 1101101 => [2,1,2,1,1] => 594
[4,5,2,7,8,1,6,3] => 0100101 => [1,1,2,1,1,1] => 984
[2,5,3,7,1,6,8,4] => 0101001 => [1,1,1,1,2,1] => 1023
[1,5,3,7,2,6,4,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,6,7,3,2,5,4,8] => 0011010 => [2,2,1,1,1] => 582
[2,6,7,3,1,5,8,4] => 0011001 => [2,2,2,1] => 357
[3,6,7,2,1,8,5,4] => 0011011 => [2,2,1,2] => 357
[7,8,5,6,2,1,4,3] => 0101101 => [1,1,1,2,1,1] => 1006
[6,5,8,7,1,2,3,4] => 1011000 => [1,1,2,3] => 265
[5,4,1,8,7,2,3,6] => 1101100 => [2,1,2,2] => 363
[6,4,8,1,7,2,3,5] => 1010100 => [1,1,1,1,1,2] => 1023
[7,8,3,1,2,6,4,5] => 0110010 => [1,2,2,1,1] => 594
[5,3,1,8,2,7,4,6] => 1101010 => [2,1,1,1,1,1] => 969
[4,3,1,2,8,7,5,6] => 1100110 => [2,2,2,1] => 357
[4,2,1,3,8,5,7,6] => 1100101 => [2,2,1,1,1] => 582
[5,2,1,8,3,4,7,6] => 1101001 => [2,1,1,2,1] => 603
[6,2,8,1,3,4,7,5] => 1010001 => [1,1,1,3,1] => 450
[7,8,2,1,3,4,6,5] => 0110001 => [1,2,3,1] => 262
[4,3,1,2,6,5,8,7] => 1100101 => [2,2,1,1,1] => 582
[5,3,1,6,2,4,8,7] => 1101001 => [2,1,1,2,1] => 603
[6,3,1,5,2,4,8,7] => 1101001 => [2,1,1,2,1] => 603
[7,3,1,5,2,8,4,6] => 1101010 => [2,1,1,1,1,1] => 969
[8,4,5,1,2,7,3,6] => 1010010 => [1,1,1,2,1,1] => 1006
[7,4,5,1,2,8,3,6] => 1010010 => [1,1,1,2,1,1] => 1006
[6,4,5,1,2,3,8,7] => 1010001 => [1,1,1,3,1] => 450
[5,4,6,1,2,3,8,7] => 1010001 => [1,1,1,3,1] => 450
[2,1,6,5,3,4,8,7] => 1011001 => [1,1,2,2,1] => 611
[3,6,1,5,2,4,8,7] => 0101001 => [1,1,1,1,2,1] => 1023
[4,6,5,1,2,3,8,7] => 0110001 => [1,2,3,1] => 262
[5,6,4,1,2,3,8,7] => 0110001 => [1,2,3,1] => 262
[6,5,4,1,2,3,8,7] => 1110001 => [3,3,1] => 110
[7,5,4,1,2,8,3,6] => 1110010 => [3,2,1,1] => 256
[8,6,4,1,7,2,3,5] => 1110100 => [3,1,1,2] => 259
[7,6,4,1,8,2,3,5] => 1110100 => [3,1,1,2] => 259
[6,7,4,1,8,2,3,5] => 0110100 => [1,2,1,1,2] => 603
[5,7,4,1,2,8,3,6] => 0110010 => [1,2,2,1,1] => 594
[4,7,5,1,2,8,3,6] => 0110010 => [1,2,2,1,1] => 594
[3,7,1,5,2,8,4,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,1,7,5,3,8,4,6] => 1011010 => [1,1,2,1,1,1] => 984
[2,1,8,5,3,7,4,6] => 1011010 => [1,1,2,1,1,1] => 984
[3,8,1,5,2,7,4,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,8,5,1,2,7,3,6] => 0110010 => [1,2,2,1,1] => 594
[5,8,4,1,2,7,3,6] => 0110010 => [1,2,2,1,1] => 594
[6,8,4,1,7,2,3,5] => 0110100 => [1,2,1,1,2] => 603
[8,7,4,1,6,2,3,5] => 1110100 => [3,1,1,2] => 259
[5,8,6,7,1,2,3,4] => 0101000 => [1,1,1,1,3] => 450
[4,8,6,1,7,2,3,5] => 0110100 => [1,2,1,1,2] => 603
[3,8,1,6,7,2,4,5] => 0100100 => [1,1,2,1,2] => 611
[2,1,8,6,7,3,4,5] => 1010100 => [1,1,1,1,1,2] => 1023
[2,1,7,6,8,3,4,5] => 1010100 => [1,1,1,1,1,2] => 1023
[3,7,1,6,8,2,4,5] => 0100100 => [1,1,2,1,2] => 611
[4,7,6,1,8,2,3,5] => 0110100 => [1,2,1,1,2] => 603
[5,7,6,8,1,2,3,4] => 0101000 => [1,1,1,1,3] => 450
[5,4,7,1,2,8,3,6] => 1010010 => [1,1,1,2,1,1] => 1006
[6,4,7,1,8,2,3,5] => 1010100 => [1,1,1,1,1,2] => 1023
[7,4,6,1,8,2,3,5] => 1010100 => [1,1,1,1,1,2] => 1023
[8,4,6,1,7,2,3,5] => 1010100 => [1,1,1,1,1,2] => 1023
[8,3,1,6,7,2,4,5] => 1100100 => [2,2,1,2] => 357
[7,3,1,6,8,2,4,5] => 1100100 => [2,2,1,2] => 357
[6,3,1,7,8,2,4,5] => 1100100 => [2,2,1,2] => 357
[5,3,1,7,2,8,4,6] => 1101010 => [2,1,1,1,1,1] => 969
[4,3,1,2,7,8,5,6] => 1100010 => [2,3,1,1] => 256
[2,1,4,3,8,7,5,6] => 1010110 => [1,1,1,1,2,1] => 1023
[3,4,1,2,8,7,5,6] => 0100110 => [1,1,2,2,1] => 611
[6,3,1,8,7,2,4,5] => 1101100 => [2,1,2,2] => 363
[7,3,1,8,6,2,4,5] => 1101100 => [2,1,2,2] => 363
[8,4,7,1,6,2,3,5] => 1010100 => [1,1,1,1,1,2] => 1023
[7,4,8,1,6,2,3,5] => 1010100 => [1,1,1,1,1,2] => 1023
[5,4,8,1,2,7,3,6] => 1010010 => [1,1,1,2,1,1] => 1006
[4,5,8,1,2,7,3,6] => 0010010 => [2,1,2,1,1] => 594
[3,5,1,8,2,7,4,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,1,5,8,3,7,4,6] => 1001010 => [1,2,1,1,1,1] => 969
[2,1,6,8,7,3,4,5] => 1001100 => [1,2,2,2] => 363
[3,6,1,8,7,2,4,5] => 0101100 => [1,1,1,2,2] => 622
[4,6,8,1,7,2,3,5] => 0010100 => [2,1,1,1,2] => 603
[5,6,8,7,1,2,3,4] => 0011000 => [2,2,3] => 153
[7,5,8,6,1,2,3,4] => 1011000 => [1,1,2,3] => 265
[8,5,7,6,1,2,3,4] => 1011000 => [1,1,2,3] => 265
[5,7,8,6,1,2,3,4] => 0011000 => [2,2,3] => 153
[4,7,8,1,6,2,3,5] => 0010100 => [2,1,1,1,2] => 603
[3,7,1,8,6,2,4,5] => 0101100 => [1,1,1,2,2] => 622
[2,1,7,8,6,3,4,5] => 1001100 => [1,2,2,2] => 363
[2,1,8,7,6,3,4,5] => 1011100 => [1,1,3,2] => 265
[3,8,1,7,6,2,4,5] => 0101100 => [1,1,1,2,2] => 622
[4,8,7,1,6,2,3,5] => 0110100 => [1,2,1,1,2] => 603
[5,8,7,6,1,2,3,4] => 0111000 => [1,3,3] => 110
[6,8,7,5,1,2,3,4] => 0111000 => [1,3,3] => 110
[6,4,7,3,8,5,1,2] => 1010110 => [1,1,1,1,2,1] => 1023
[6,4,7,3,5,8,1,2] => 1010010 => [1,1,1,2,1,1] => 1006
[6,4,7,2,5,1,8,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,4,2,7,6,1,3,8] => 1101100 => [2,1,2,2] => 363
[5,4,2,7,6,1,8,3] => 1101101 => [2,1,2,1,1] => 594
[5,4,3,7,6,8,1,2] => 1101010 => [2,1,1,1,1,1] => 969
[5,4,3,7,8,6,1,2] => 1100110 => [2,2,2,1] => 357
[6,4,8,3,5,7,1,2] => 1010010 => [1,1,1,2,1,1] => 1006
[5,4,3,8,6,7,1,2] => 1101010 => [2,1,1,1,1,1] => 969
[5,4,3,6,8,7,1,2] => 1100110 => [2,2,2,1] => 357
[5,4,2,6,7,1,8,3] => 1100101 => [2,2,1,1,1] => 582
[5,4,2,6,7,1,3,8] => 1100100 => [2,2,1,2] => 357
[5,3,2,6,1,7,4,8] => 1101010 => [2,1,1,1,1,1] => 969
[5,3,2,6,1,7,8,4] => 1101001 => [2,1,1,2,1] => 603
[5,3,2,6,1,8,7,4] => 1101011 => [2,1,1,1,2] => 603
[5,4,2,6,8,1,7,3] => 1100101 => [2,2,1,1,1] => 582
[5,4,2,8,6,1,7,3] => 1101101 => [2,1,2,1,1] => 594
[6,4,8,2,5,1,7,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,8,4,2,5,1,6,3] => 0110101 => [1,2,1,1,1,1] => 969
[7,8,4,2,5,1,3,6] => 0110100 => [1,2,1,1,2] => 603
[5,4,2,8,6,1,3,7] => 1101100 => [2,1,2,2] => 363
[5,3,2,6,1,8,4,7] => 1101010 => [2,1,1,1,1,1] => 969
[4,3,2,1,6,8,5,7] => 1110010 => [3,2,1,1] => 256
[4,3,2,1,8,6,5,7] => 1110110 => [3,1,2,1] => 259
[5,3,2,8,1,6,4,7] => 1101010 => [2,1,1,1,1,1] => 969
[6,3,8,2,1,5,4,7] => 1011010 => [1,1,2,1,1,1] => 984
[7,8,3,2,1,5,4,6] => 0111010 => [1,3,1,1,1] => 427
[7,8,3,2,1,5,6,4] => 0111001 => [1,3,2,1] => 259
[6,3,8,2,1,5,7,4] => 1011001 => [1,1,2,2,1] => 611
[5,3,2,8,1,6,7,4] => 1101001 => [2,1,1,2,1] => 603
[5,4,2,7,8,1,6,3] => 1100101 => [2,2,1,1,1] => 582
[5,3,2,7,1,8,6,4] => 1101011 => [2,1,1,1,2] => 603
[5,3,2,7,1,6,8,4] => 1101001 => [2,1,1,2,1] => 603
[5,3,2,7,1,6,4,8] => 1101010 => [2,1,1,1,1,1] => 969
[6,3,7,2,1,5,4,8] => 1011010 => [1,1,2,1,1,1] => 984
[6,3,7,2,1,5,8,4] => 1011001 => [1,1,2,2,1] => 611
[6,3,7,2,1,8,5,4] => 1011011 => [1,1,2,1,2] => 611
[6,4,7,2,8,1,5,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,5,7,8,2,1,4,3] => 1001101 => [1,2,2,1,1] => 594
[6,5,8,7,2,1,3,4] => 1011100 => [1,1,3,2] => 265
[6,3,7,2,1,8,4,5] => 1011010 => [1,1,2,1,1,1] => 984
[6,3,7,2,1,4,8,5] => 1011001 => [1,1,2,2,1] => 611
[6,3,7,2,1,4,5,8] => 1011000 => [1,1,2,3] => 265
[5,3,2,7,1,4,8,6] => 1101001 => [2,1,1,2,1] => 603
[5,4,2,8,7,1,3,6] => 1101100 => [2,1,2,2] => 363
[7,8,4,2,6,1,3,5] => 0110100 => [1,2,1,1,2] => 603
[7,8,3,2,1,6,4,5] => 0111010 => [1,3,1,1,1] => 427
[6,3,8,2,1,7,4,5] => 1011010 => [1,1,2,1,1,1] => 984
[5,3,2,8,1,7,4,6] => 1101010 => [2,1,1,1,1,1] => 969
[4,3,2,1,8,7,5,6] => 1110110 => [3,1,2,1] => 259
[4,3,2,1,7,5,8,6] => 1110101 => [3,1,1,1,1] => 427
[4,3,2,1,7,5,6,8] => 1110100 => [3,1,1,2] => 259
[4,3,2,1,8,5,7,6] => 1110101 => [3,1,1,1,1] => 427
[5,3,2,8,1,4,7,6] => 1101001 => [2,1,1,2,1] => 603
[6,3,8,2,1,4,7,5] => 1011001 => [1,1,2,2,1] => 611
[7,8,3,2,1,4,6,5] => 0111001 => [1,3,2,1] => 259
[6,3,8,2,1,4,5,7] => 1011000 => [1,1,2,3] => 265
[4,3,2,1,8,5,6,7] => 1110100 => [3,1,1,2] => 259
[4,3,2,1,5,8,6,7] => 1110010 => [3,2,1,1] => 256
[7,8,5,6,1,2,4,3] => 0101001 => [1,1,1,1,2,1] => 1023
[7,8,4,1,6,2,5,3] => 0110101 => [1,2,1,1,1,1] => 969
[7,8,1,4,6,2,5,3] => 0100101 => [1,1,2,1,1,1] => 984
[6,1,8,4,7,2,5,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[1,6,8,4,7,2,5,3] => 0010101 => [2,1,1,1,1,1] => 969
[1,6,8,3,2,7,5,4] => 0011011 => [2,2,1,2] => 357
[6,1,8,3,2,7,5,4] => 1011011 => [1,1,2,1,2] => 611
[7,8,1,3,2,6,5,4] => 0101011 => [1,1,1,1,1,2] => 1023
[7,8,3,1,2,6,5,4] => 0110011 => [1,2,2,2] => 363
[7,8,3,4,6,5,1,2] => 0100110 => [1,1,2,2,1] => 611
[7,8,2,4,6,1,5,3] => 0100101 => [1,1,2,1,1,1] => 984
[7,8,2,3,1,6,5,4] => 0101011 => [1,1,1,1,1,2] => 1023
[7,8,2,1,3,6,5,4] => 0110011 => [1,2,2,2] => 363
[7,8,1,2,3,6,5,4] => 0100011 => [1,1,3,2] => 265
[6,1,8,2,3,7,5,4] => 1010011 => [1,1,1,2,2] => 622
[1,6,8,2,3,7,5,4] => 0010011 => [2,1,2,2] => 363
[1,5,2,8,3,7,6,4] => 0101011 => [1,1,1,1,1,2] => 1023
[5,1,2,8,3,7,6,4] => 1001011 => [1,2,1,1,2] => 603
[5,2,1,8,3,7,6,4] => 1101011 => [2,1,1,1,2] => 603
[6,2,8,1,3,7,5,4] => 1010011 => [1,1,1,2,2] => 622
[6,2,8,3,1,7,5,4] => 1011011 => [1,1,2,1,2] => 611
[6,2,8,4,7,1,5,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,3,8,4,7,5,1,2] => 1010110 => [1,1,1,1,2,1] => 1023
[3,6,8,4,7,5,1,2] => 0010110 => [2,1,1,2,1] => 603
[2,6,8,4,7,1,5,3] => 0010101 => [2,1,1,1,1,1] => 969
[2,6,8,3,1,7,5,4] => 0011011 => [2,2,1,2] => 357
[2,6,8,1,3,7,5,4] => 0010011 => [2,1,2,2] => 363
[2,5,1,8,3,7,6,4] => 0101011 => [1,1,1,1,1,2] => 1023
[1,2,5,8,3,7,6,4] => 0001011 => [3,1,1,2] => 259
[2,4,1,3,8,7,6,5] => 0100111 => [1,1,2,3] => 265
[2,5,3,8,1,7,6,4] => 0101011 => [1,1,1,1,1,2] => 1023
[2,5,4,8,7,1,6,3] => 0101101 => [1,1,1,2,1,1] => 1006
[3,5,4,8,7,6,1,2] => 0101110 => [1,1,1,3,1] => 450
[5,3,4,8,7,6,1,2] => 1001110 => [1,2,3,1] => 262
[5,2,4,8,7,1,6,3] => 1001101 => [1,2,2,1,1] => 594
[5,2,3,8,1,7,6,4] => 1001011 => [1,2,1,1,2] => 603
[4,2,1,3,8,7,6,5] => 1100111 => [2,2,3] => 153
[4,1,2,3,8,7,6,5] => 1000111 => [1,3,3] => 110
[1,4,2,3,8,7,6,5] => 0100111 => [1,1,2,3] => 265
[4,1,3,2,8,7,6,5] => 1010111 => [1,1,1,1,3] => 450
[4,3,1,2,8,7,6,5] => 1100111 => [2,2,3] => 153
[6,3,8,1,2,7,5,4] => 1010011 => [1,1,1,2,2] => 622
[5,3,1,8,2,7,6,4] => 1101011 => [2,1,1,1,2] => 603
[5,1,3,8,2,7,6,4] => 1001011 => [1,2,1,1,2] => 603
[1,5,3,8,2,7,6,4] => 0101011 => [1,1,1,1,1,2] => 1023
[1,5,4,8,7,2,6,3] => 0101101 => [1,1,1,2,1,1] => 1006
[5,1,4,8,7,2,6,3] => 1001101 => [1,2,2,1,1] => 594
[5,4,1,8,7,2,6,3] => 1101101 => [2,1,2,1,1] => 594
[6,4,8,1,7,2,5,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,5,8,7,1,2,4,3] => 1011001 => [1,1,2,2,1] => 611
[5,6,8,7,3,4,1,2] => 0011010 => [2,2,1,1,1] => 582
[5,6,8,7,2,1,4,3] => 0011101 => [2,3,1,1] => 256
[4,5,1,8,7,2,6,3] => 0101101 => [1,1,1,2,1,1] => 1006
[4,1,5,8,7,2,6,3] => 1001101 => [1,2,2,1,1] => 594
[1,4,5,8,7,2,6,3] => 0001101 => [3,2,1,1] => 256
[1,3,5,8,2,7,6,4] => 0001011 => [3,1,1,2] => 259
[3,1,5,8,2,7,6,4] => 1001011 => [1,2,1,1,2] => 603
[3,6,8,1,2,7,5,4] => 0010011 => [2,1,2,2] => 363
[3,6,8,2,1,7,5,4] => 0011011 => [2,2,1,2] => 357
[4,6,8,2,7,1,5,3] => 0010101 => [2,1,1,1,1,1] => 969
[4,6,8,3,7,5,1,2] => 0010110 => [2,1,1,2,1] => 603
[4,5,3,8,7,6,1,2] => 0101110 => [1,1,1,3,1] => 450
[4,5,2,8,7,1,6,3] => 0101101 => [1,1,1,2,1,1] => 1006
[3,5,2,8,1,7,6,4] => 0101011 => [1,1,1,1,1,2] => 1023
[3,1,4,2,8,7,6,5] => 1010111 => [1,1,1,1,3] => 450
[3,1,2,4,8,7,6,5] => 1000111 => [1,3,3] => 110
[3,2,5,8,1,7,6,4] => 1001011 => [1,2,1,1,2] => 603
[4,2,5,8,7,1,6,3] => 1001101 => [1,2,2,1,1] => 594
[4,3,5,8,7,6,1,2] => 1001110 => [1,2,3,1] => 262
[3,4,5,8,7,6,1,2] => 0001110 => [3,3,1] => 110
[2,4,5,8,7,1,6,3] => 0001101 => [3,2,1,1] => 256
[2,3,5,8,1,7,6,4] => 0001011 => [3,1,1,2] => 259
[4,1,3,2,6,5,8,7] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,1,3,2,6,4,8,7] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,1,3,2,5,4,8,7] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,1,3,2,5,4,8,6] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,1,3,2,5,4,7,6] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,1,4,2,5,3,7,6] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,1,4,2,5,3,8,6] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,1,4,2,5,3,8,7] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,1,4,2,6,3,8,7] => 1010101 => [1,1,1,1,1,1,1] => 1623
[2,1,6,3,5,4,8,7] => 1010101 => [1,1,1,1,1,1,1] => 1623
[3,1,6,2,5,4,8,7] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,1,6,2,5,3,8,7] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,2,5,1,4,3,8,7] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,2,6,1,4,3,8,7] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,2,7,1,4,3,8,6] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,2,8,1,4,3,7,6] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,2,8,1,4,3,7,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,2,7,1,4,3,8,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,2,6,1,4,3,8,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,2,5,1,4,3,8,6] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,1,7,2,5,3,8,6] => 1010101 => [1,1,1,1,1,1,1] => 1623
[3,1,7,2,5,4,8,6] => 1010101 => [1,1,1,1,1,1,1] => 1623
[2,1,7,3,5,4,8,6] => 1010101 => [1,1,1,1,1,1,1] => 1623
[2,1,8,3,5,4,7,6] => 1010101 => [1,1,1,1,1,1,1] => 1623
[3,1,8,2,5,4,7,6] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,1,8,2,5,3,7,6] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,2,5,1,4,3,7,6] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,2,6,1,4,3,7,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,1,4,3,8,2,6,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,1,4,3,7,2,6,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,1,5,3,7,2,6,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,1,5,3,8,2,6,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,2,6,1,5,3,7,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,1,8,2,6,3,7,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,1,8,2,6,3,7,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[3,1,8,2,6,4,7,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[2,1,8,3,6,4,7,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[2,1,7,3,6,4,8,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,1,7,2,6,3,8,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,1,7,2,6,3,8,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,2,6,1,5,3,8,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,2,7,1,5,3,8,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,2,8,1,5,3,7,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,1,5,2,6,3,7,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,1,5,2,7,3,8,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,1,4,2,7,3,8,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,1,4,2,6,3,7,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,1,3,2,6,4,7,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,1,3,2,6,4,8,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,1,3,2,7,4,8,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,1,3,2,7,4,8,6] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,1,3,2,7,5,8,6] => 1010101 => [1,1,1,1,1,1,1] => 1623
[2,1,4,3,8,5,7,6] => 1010101 => [1,1,1,1,1,1,1] => 1623
[3,1,4,2,8,5,7,6] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,1,3,2,8,5,7,6] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,1,3,2,8,4,7,6] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,1,3,2,8,4,7,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,4,7,1,3,2,6,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,4,8,1,3,2,6,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,3,8,1,4,2,6,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,3,7,1,4,2,6,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,1,4,2,8,3,7,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,1,4,2,8,3,7,6] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,1,5,2,8,3,7,6] => 1010101 => [1,1,1,1,1,1,1] => 1623
[3,1,5,2,8,4,7,6] => 1010101 => [1,1,1,1,1,1,1] => 1623
[2,1,5,3,8,4,7,6] => 1010101 => [1,1,1,1,1,1,1] => 1623
[2,1,6,3,8,4,7,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[3,1,6,2,8,4,7,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,1,6,2,8,3,7,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,1,6,2,8,3,7,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,1,5,2,8,3,7,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,3,7,1,5,2,6,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,3,8,1,5,2,6,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,2,7,3,8,1,5,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,2,8,3,7,1,5,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,3,7,2,6,1,5,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,1,8,3,7,2,6,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,1,8,3,7,2,6,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[3,1,8,4,7,2,6,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[2,1,8,4,7,3,6,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[2,1,7,4,8,3,6,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[3,1,7,4,8,2,6,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,1,7,3,8,2,6,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,1,7,3,8,2,6,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,3,8,2,6,1,5,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,2,6,3,7,1,5,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,2,6,3,8,1,5,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[3,4,2,6,8,1,5,7] => 0100100 => [1,1,2,1,2] => 611
[5,3,6,2,8,1,4,7] => 1010100 => [1,1,1,1,1,2] => 1023
[5,3,6,2,4,8,1,7] => 1010010 => [1,1,1,2,1,1] => 1006
[5,7,3,8,2,4,1,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,7,3,8,2,4,6,1] => 0101001 => [1,1,1,1,2,1] => 1023
[7,4,2,5,8,3,6,1] => 1100101 => [2,2,1,1,1] => 582
[7,4,2,5,8,3,1,6] => 1100110 => [2,2,2,1] => 357
[4,5,2,6,3,8,1,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,5,2,1,6,8,3,7] => 0110010 => [1,2,2,1,1] => 594
[5,3,1,6,8,2,4,7] => 1100100 => [2,2,1,2] => 357
[5,6,2,8,1,3,4,7] => 0101000 => [1,1,1,1,3] => 450
[3,5,6,1,4,8,2,7] => 0010010 => [2,1,2,1,1] => 594
[4,1,5,6,3,8,2,7] => 1001010 => [1,2,1,1,1,1] => 969
[4,5,1,6,3,8,2,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,5,6,3,2,8,1,7] => 0011010 => [2,2,1,1,1] => 582
[7,4,5,3,8,2,1,6] => 1010110 => [1,1,1,1,2,1] => 1023
[7,4,5,3,8,2,6,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,7,4,8,3,2,5,1] => 0101101 => [1,1,1,2,1,1] => 1006
[6,7,4,8,3,2,1,5] => 0101110 => [1,1,1,3,1] => 450
[6,7,4,1,8,3,2,5] => 0110110 => [1,2,1,2,1] => 603
[7,4,5,3,1,8,2,6] => 1011010 => [1,1,2,1,1,1] => 984
[4,7,1,5,8,3,2,6] => 0100110 => [1,1,2,2,1] => 611
[5,3,7,8,1,4,2,6] => 1001010 => [1,2,1,1,1,1] => 969
[7,5,8,2,4,6,1,3] => 1010010 => [1,1,1,2,1,1] => 1006
[7,3,5,8,1,4,6,2] => 1001001 => [1,2,1,2,1] => 603
[4,5,1,7,8,3,6,2] => 0100101 => [1,1,2,1,1,1] => 984
[7,4,1,5,8,3,6,2] => 1100101 => [2,2,1,1,1] => 582
[6,7,4,3,8,1,5,2] => 0110101 => [1,2,1,1,1,1] => 969
[6,7,4,8,3,1,5,2] => 0101101 => [1,1,1,2,1,1] => 1006
[6,7,4,8,3,5,2,1] => 0101011 => [1,1,1,1,1,2] => 1023
[5,6,7,3,8,4,2,1] => 0010111 => [2,1,1,3] => 262
[5,6,7,3,1,8,4,2] => 0011011 => [2,2,1,2] => 357
[5,6,1,7,3,8,4,2] => 0101011 => [1,1,1,1,1,2] => 1023
[5,1,6,7,3,8,4,2] => 1001011 => [1,2,1,1,2] => 603
[6,4,7,1,8,3,5,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,7,8,3,1,4,5,2] => 0011001 => [2,2,2,1] => 357
[6,7,2,8,4,5,1,3] => 0101010 => [1,1,1,1,1,1,1] => 1623
[6,7,2,8,4,1,3,5] => 0101100 => [1,1,1,2,2] => 622
[6,1,7,4,8,3,2,5] => 1010110 => [1,1,1,1,2,1] => 1023
[5,1,6,7,3,2,8,4] => 1001101 => [1,2,2,1,1] => 594
[5,6,1,7,3,2,8,4] => 0101101 => [1,1,1,2,1,1] => 1006
[5,6,7,3,2,1,8,4] => 0011101 => [2,3,1,1] => 256
[5,6,7,3,2,8,4,1] => 0011011 => [2,2,1,2] => 357
[5,6,2,7,3,8,4,1] => 0101011 => [1,1,1,1,1,2] => 1023
[5,6,2,7,3,1,8,4] => 0101101 => [1,1,1,2,1,1] => 1006
[5,6,2,1,7,3,8,4] => 0110101 => [1,2,1,1,1,1] => 969
[6,1,7,4,2,8,3,5] => 1011010 => [1,1,2,1,1,1] => 984
[6,7,2,1,8,3,4,5] => 0110100 => [1,2,1,1,2] => 603
[7,5,8,2,1,3,4,6] => 1011000 => [1,1,2,3] => 265
[5,7,3,1,8,2,4,6] => 0110100 => [1,2,1,1,2] => 603
[4,7,1,5,2,8,3,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[7,4,2,5,1,8,3,6] => 1101010 => [2,1,1,1,1,1] => 969
[6,7,4,2,1,8,3,5] => 0111010 => [1,3,1,1,1] => 427
[6,7,4,2,8,3,1,5] => 0110110 => [1,2,1,2,1] => 603
[6,7,4,2,8,3,5,1] => 0110101 => [1,2,1,1,1,1] => 969
[3,6,7,2,8,4,5,1] => 0010101 => [2,1,1,1,1,1] => 969
[3,6,7,2,8,4,1,5] => 0010110 => [2,1,1,2,1] => 603
[3,6,7,2,1,8,4,5] => 0011010 => [2,2,1,1,1] => 582
[5,7,3,8,2,1,4,6] => 0101100 => [1,1,1,2,2] => 622
[3,4,7,8,2,1,5,6] => 0001100 => [3,2,2] => 153
[3,7,8,1,4,6,2,5] => 0010010 => [2,1,2,1,1] => 594
[3,4,7,8,2,6,1,5] => 0001010 => [3,1,1,1,1] => 427
[5,7,3,8,2,6,1,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,6,7,2,8,5,1,4] => 0010110 => [2,1,1,2,1] => 603
[3,6,7,8,5,2,1,4] => 0001110 => [3,3,1] => 110
[3,6,7,8,5,2,4,1] => 0001101 => [3,2,1,1] => 256
[6,4,7,8,2,5,3,1] => 1001011 => [1,2,1,1,2] => 603
[6,4,7,8,2,1,5,3] => 1001101 => [1,2,2,1,1] => 594
[4,1,5,7,8,2,6,3] => 1000101 => [1,3,1,1,1] => 427
[5,3,7,8,1,6,2,4] => 1001010 => [1,2,1,1,1,1] => 969
[6,7,2,8,5,1,3,4] => 0101100 => [1,1,1,2,2] => 622
[6,4,1,7,8,2,5,3] => 1100101 => [2,2,1,1,1] => 582
[5,1,6,2,7,8,4,3] => 1010011 => [1,1,1,2,2] => 622
[5,6,2,1,7,8,4,3] => 0110011 => [1,2,2,2] => 363
[5,6,2,7,1,8,4,3] => 0101011 => [1,1,1,1,1,2] => 1023
[5,6,2,7,8,4,3,1] => 0100111 => [1,1,2,3] => 265
[5,6,7,2,8,4,3,1] => 0010111 => [2,1,1,3] => 262
[5,6,7,2,1,8,4,3] => 0011011 => [2,2,1,2] => 357
[5,6,1,7,2,8,4,3] => 0101011 => [1,1,1,1,1,2] => 1023
[5,1,6,7,2,8,4,3] => 1001011 => [1,2,1,1,2] => 603
[6,4,7,1,8,2,5,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[3,6,7,1,8,5,2,4] => 0010110 => [2,1,1,2,1] => 603
[6,7,8,5,2,4,1,3] => 0011010 => [2,2,1,1,1] => 582
[6,7,8,3,5,1,4,2] => 0010101 => [2,1,1,1,1,1] => 969
[4,6,7,8,1,5,3,2] => 0001011 => [3,1,1,2] => 259
[5,1,6,7,8,4,3,2] => 1000111 => [1,3,3] => 110
[5,6,1,7,8,4,3,2] => 0100111 => [1,1,2,3] => 265
[5,6,7,1,8,4,3,2] => 0010111 => [2,1,1,3] => 262
[8,6,1,3,4,2,5,7] => 1100100 => [2,2,1,2] => 357
[8,3,2,5,1,6,4,7] => 1101010 => [2,1,1,1,1,1] => 969
[8,5,3,6,2,4,1,7] => 1101010 => [2,1,1,1,1,1] => 969
[5,3,2,7,4,1,8,6] => 1101101 => [2,1,2,1,1] => 594
[7,5,3,8,2,4,6,1] => 1101001 => [2,1,1,2,1] => 603
[7,2,4,5,8,3,6,1] => 1000101 => [1,3,1,1,1] => 427
[2,4,5,3,7,1,8,6] => 0010101 => [2,1,1,1,1,1] => 969
[8,2,4,5,6,3,1,7] => 1000110 => [1,3,2,1] => 259
[8,2,4,5,6,1,3,7] => 1000100 => [1,3,1,2] => 259
[8,1,2,4,5,6,3,7] => 1000010 => [1,4,1,1] => 145
[8,2,5,1,3,6,4,7] => 1010010 => [1,1,1,2,1,1] => 1006
[8,5,6,2,1,4,3,7] => 1011010 => [1,1,2,1,1,1] => 984
[8,5,3,6,4,1,2,7] => 1101100 => [2,1,2,2] => 363
[8,4,1,5,6,3,2,7] => 1100110 => [2,2,2,1] => 357
[8,1,4,5,6,3,2,7] => 1000110 => [1,3,2,1] => 259
[4,5,3,7,2,1,8,6] => 0101101 => [1,1,1,2,1,1] => 1006
[7,4,5,8,3,2,6,1] => 1001101 => [1,2,2,1,1] => 594
[4,3,6,7,2,8,5,1] => 1001011 => [1,2,1,1,2] => 603
[4,3,6,7,2,8,1,5] => 1001010 => [1,2,1,1,1,1] => 969
[1,4,3,6,7,2,8,5] => 0100101 => [1,1,2,1,1,1] => 984
[4,5,3,7,1,8,2,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,1,5,3,7,2,8,6] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,3,4,7,1,2,8,6] => 1001001 => [1,2,1,2,1] => 603
[7,5,8,2,1,4,6,3] => 1011001 => [1,1,2,2,1] => 611
[7,5,3,8,4,1,6,2] => 1101101 => [2,1,2,1,1] => 594
[7,4,5,8,3,6,1,2] => 1001010 => [1,2,1,1,1,1] => 969
[4,3,6,7,8,1,5,2] => 1000101 => [1,3,1,1,1] => 427
[1,6,4,7,8,3,5,2] => 0100101 => [1,1,2,1,1,1] => 984
[6,4,7,8,3,5,2,1] => 1001011 => [1,2,1,1,2] => 603
[3,5,6,7,8,4,1,2] => 0000110 => [4,2,1] => 85
[3,1,5,6,7,8,4,2] => 1000011 => [1,4,2] => 85
[4,6,1,7,8,3,5,2] => 0100101 => [1,1,2,1,1,1] => 984
[3,6,7,1,4,8,5,2] => 0010011 => [2,1,2,2] => 363
[6,2,4,1,7,8,5,3] => 1010011 => [1,1,1,2,2] => 622
[2,6,7,1,4,8,3,5] => 0010010 => [2,1,2,1,1] => 594
[4,3,6,7,8,1,2,5] => 1000100 => [1,3,1,2] => 259
[1,5,3,6,7,8,2,4] => 0100010 => [1,1,3,1,1] => 439
[3,5,6,7,8,2,1,4] => 0000110 => [4,2,1] => 85
[3,5,6,7,8,2,4,1] => 0000101 => [4,1,1,1] => 145
[5,2,7,1,3,8,4,6] => 1010010 => [1,1,1,2,1,1] => 1006
[5,3,1,7,8,2,4,6] => 1100100 => [2,2,1,2] => 357
[4,5,2,7,8,1,3,6] => 0100100 => [1,1,2,1,2] => 611
[4,2,6,7,8,3,1,5] => 1000110 => [1,3,2,1] => 259
[4,2,6,7,8,3,5,1] => 1000101 => [1,3,1,1,1] => 427
[3,6,2,7,4,8,5,1] => 0101011 => [1,1,1,1,1,2] => 1023
[3,6,2,7,4,8,1,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,2,1,6,4,7,8,5] => 1101001 => [2,1,1,2,1] => 603
[3,7,4,2,1,5,8,6] => 0111001 => [1,3,2,1] => 259
[1,7,3,4,2,5,8,6] => 0101001 => [1,1,1,1,2,1] => 1023
[4,7,2,1,3,5,8,6] => 0110001 => [1,2,3,1] => 262
[7,8,4,2,1,3,6,5] => 0111001 => [1,3,2,1] => 259
[7,8,1,3,4,2,6,5] => 0100101 => [1,1,2,1,1,1] => 984
[7,8,3,4,2,1,6,5] => 0101101 => [1,1,1,2,1,1] => 1006
[6,3,2,7,1,8,5,4] => 1101011 => [2,1,1,1,2] => 603
[3,6,2,7,1,8,5,4] => 0101011 => [1,1,1,1,1,2] => 1023
[6,7,3,8,2,5,4,1] => 0101011 => [1,1,1,1,1,2] => 1023
[6,4,7,8,5,2,3,1] => 1001101 => [1,2,2,1,1] => 594
[2,6,4,7,8,1,5,3] => 0100101 => [1,1,2,1,1,1] => 984
[4,6,2,7,8,1,5,3] => 0100101 => [1,1,2,1,1,1] => 984
[7,4,5,8,6,2,1,3] => 1001110 => [1,2,3,1] => 262
[7,4,1,5,8,6,2,3] => 1100110 => [2,2,2,1] => 357
[7,5,3,8,6,1,2,4] => 1101100 => [2,1,2,2] => 363
[7,5,8,2,1,6,3,4] => 1011010 => [1,1,2,1,1,1] => 984
[6,2,7,1,3,8,5,4] => 1010011 => [1,1,1,2,2] => 622
[6,3,1,7,8,2,5,4] => 1100101 => [2,2,1,1,1] => 582
[4,6,1,7,8,5,2,3] => 0100110 => [1,1,2,2,1] => 611
[5,1,2,6,7,8,4,3] => 1000011 => [1,4,2] => 85
[5,2,6,7,8,4,1,3] => 1000110 => [1,3,2,1] => 259
[5,2,6,7,8,4,3,1] => 1000111 => [1,3,3] => 110
[2,5,6,7,8,4,1,3] => 0000110 => [4,2,1] => 85
[1,5,2,6,7,8,4,3] => 0100011 => [1,1,3,2] => 265
[1,6,4,7,8,5,2,3] => 0100110 => [1,1,2,2,1] => 611
[2,6,7,1,3,8,5,4] => 0010011 => [2,1,2,2] => 363
[6,7,8,2,1,5,4,3] => 0011011 => [2,2,1,2] => 357
[6,7,3,8,5,1,4,2] => 0101101 => [1,1,1,2,1,1] => 1006
[6,4,7,8,5,3,1,2] => 1001110 => [1,2,3,1] => 262
[4,5,2,3,7,6,1,8] => 0100110 => [1,1,2,2,1] => 611
[6,4,3,7,2,5,1,8] => 1101010 => [2,1,1,1,1,1] => 969
[8,4,3,6,5,1,2,7] => 1101100 => [2,1,2,2] => 363
[1,5,6,3,4,8,7,2] => 0010011 => [2,1,2,2] => 363
[4,6,2,7,3,5,1,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,2,6,7,4,5,1,8] => 1001010 => [1,2,1,1,1,1] => 969
[4,7,2,6,5,3,1,8] => 0101110 => [1,1,1,3,1] => 450
[5,7,6,2,4,3,1,8] => 0110110 => [1,2,1,2,1] => 603
[1,7,5,4,8,3,6,2] => 0110101 => [1,2,1,1,1,1] => 969
[8,7,5,4,1,3,2,6] => 1111010 => [4,1,1,1] => 145
[6,8,5,4,2,1,3,7] => 0111100 => [1,4,2] => 85
[5,8,6,2,4,1,3,7] => 0110100 => [1,2,1,1,2] => 603
[4,8,2,6,5,1,3,7] => 0101100 => [1,1,1,2,2] => 622
[3,2,8,6,5,1,4,7] => 1011100 => [1,1,3,2] => 265
[4,1,2,6,5,8,7,3] => 1001011 => [1,2,1,1,2] => 603
[5,1,6,2,4,8,7,3] => 1010011 => [1,1,1,2,2] => 622
[6,1,5,4,2,8,7,3] => 1011011 => [1,1,2,1,2] => 611
[7,1,5,4,8,2,6,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,1,5,4,7,6,2,3] => 1010110 => [1,1,1,1,2,1] => 1023
[1,8,6,7,4,5,3,2] => 0101011 => [1,1,1,1,1,2] => 1023
[8,1,6,7,4,5,2,3] => 1001010 => [1,2,1,1,1,1] => 969
[7,1,6,8,4,2,5,3] => 1001101 => [1,2,2,1,1] => 594
[6,1,7,8,2,4,5,3] => 1001001 => [1,2,1,2,1] => 603
[5,1,7,2,8,4,6,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,1,2,7,8,5,6,3] => 1000101 => [1,3,1,1,1] => 427
[3,2,1,7,8,5,6,4] => 1100101 => [2,2,1,1,1] => 582
[3,2,8,7,1,5,4,6] => 1011010 => [1,1,2,1,1,1] => 984
[4,8,2,7,1,5,3,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,8,7,2,1,4,3,6] => 0111010 => [1,3,1,1,1] => 427
[6,8,7,1,2,4,3,5] => 0110010 => [1,2,2,1,1] => 594
[7,8,6,1,4,2,3,5] => 0110100 => [1,2,1,1,2] => 603
[8,7,6,1,4,3,2,5] => 1110110 => [3,1,2,1] => 259
[1,7,6,8,4,3,5,2] => 0101101 => [1,1,1,2,1,1] => 1006
[1,6,7,8,3,4,5,2] => 0001001 => [3,1,2,1] => 259
[8,6,7,1,3,4,2,5] => 1010010 => [1,1,1,2,1,1] => 1006
[7,6,8,1,3,2,4,5] => 1010100 => [1,1,1,1,1,2] => 1023
[5,7,8,2,1,3,4,6] => 0011000 => [2,2,3] => 153
[4,7,2,8,1,3,5,6] => 0101000 => [1,1,1,1,3] => 450
[3,2,6,8,4,1,5,7] => 1001100 => [1,2,2,2] => 363
[4,6,2,8,3,1,5,7] => 0101100 => [1,1,1,2,2] => 622
[5,6,8,2,3,1,4,7] => 0010100 => [2,1,1,1,2] => 603
[6,5,8,3,2,1,4,7] => 1011100 => [1,1,3,2] => 265
[7,5,8,3,1,2,4,6] => 1011000 => [1,1,2,3] => 265
[8,5,7,3,1,4,2,6] => 1011010 => [1,1,2,1,1,1] => 984
[1,5,7,3,8,4,6,2] => 0010101 => [2,1,1,1,1,1] => 969
[1,4,3,7,8,5,6,2] => 0100101 => [1,1,2,1,1,1] => 984
[8,4,3,7,1,5,2,6] => 1101010 => [2,1,1,1,1,1] => 969
[6,4,3,8,2,1,5,7] => 1101100 => [2,1,2,2] => 363
[4,5,2,3,8,1,6,7] => 0100100 => [1,1,2,1,2] => 611
[3,2,5,4,8,1,6,7] => 1010100 => [1,1,1,1,1,2] => 1023
[4,5,2,3,1,8,7,6] => 0101011 => [1,1,1,1,1,2] => 1023
[6,4,3,1,2,8,7,5] => 1110011 => [3,2,2] => 153
[7,4,3,1,8,2,6,5] => 1110101 => [3,1,1,1,1] => 427
[8,4,3,1,7,6,2,5] => 1110110 => [3,1,2,1] => 259
[1,5,8,3,7,6,4,2] => 0010111 => [2,1,1,3] => 262
[8,5,1,3,7,6,2,4] => 1100110 => [2,2,2,1] => 357
[7,5,1,3,8,2,6,4] => 1100101 => [2,2,1,1,1] => 582
[6,5,1,3,2,8,7,4] => 1101011 => [2,1,1,1,2] => 603
[5,6,1,2,3,8,7,4] => 0100011 => [1,1,3,2] => 265
[4,6,2,1,3,8,7,5] => 0110011 => [1,2,2,2] => 363
[3,2,6,1,4,8,7,5] => 1010011 => [1,1,1,2,2] => 622
[3,2,7,1,8,4,6,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,7,2,1,8,3,6,5] => 0110101 => [1,2,1,1,1,1] => 969
[5,7,1,2,8,3,6,4] => 0100101 => [1,1,2,1,1,1] => 984
[6,7,1,8,2,3,5,4] => 0101001 => [1,1,1,1,2,1] => 1023
[7,6,1,8,3,2,5,4] => 1101101 => [2,1,2,1,1] => 594
[8,6,1,7,3,5,2,4] => 1101010 => [2,1,1,1,1,1] => 969
[1,6,8,7,3,5,4,2] => 0011011 => [2,2,1,2] => 357
[1,7,8,6,5,3,4,2] => 0011101 => [2,3,1,1] => 256
[8,7,1,6,5,3,2,4] => 1101110 => [2,1,3,1] => 262
[7,8,1,6,5,2,3,4] => 0101100 => [1,1,1,2,2] => 622
[6,8,1,7,2,5,3,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,8,1,2,7,6,3,4] => 0100110 => [1,1,2,2,1] => 611
[4,8,2,1,7,6,3,5] => 0110110 => [1,2,1,2,1] => 603
[3,2,8,1,7,6,4,5] => 1010110 => [1,1,1,1,2,1] => 1023
[4,1,2,8,7,6,5,3] => 1001111 => [1,2,4] => 85
[5,1,8,2,7,6,4,3] => 1010111 => [1,1,1,1,3] => 450
[6,1,8,7,2,5,4,3] => 1011011 => [1,1,2,1,2] => 611
[7,1,8,6,5,2,4,3] => 1011101 => [1,1,3,1,1] => 439
[8,1,7,6,5,4,2,3] => 1011110 => [1,1,4,1] => 148
[3,1,2,6,5,8,7,4] => 1001011 => [1,2,1,1,2] => 603
[3,1,6,2,4,8,7,5] => 1010011 => [1,1,1,2,2] => 622
[3,1,5,2,4,8,7,6] => 1010011 => [1,1,1,2,2] => 622
[4,5,1,2,3,8,7,6] => 0100011 => [1,1,3,2] => 265
[4,6,1,2,3,8,7,5] => 0100011 => [1,1,3,2] => 265
[1,6,5,3,4,8,7,2] => 0110011 => [1,2,2,2] => 363
[6,1,5,2,4,8,7,3] => 1010011 => [1,1,1,2,2] => 622
[6,5,1,2,3,8,7,4] => 1100011 => [2,3,2] => 153
[6,4,1,2,3,8,7,5] => 1100011 => [2,3,2] => 153
[5,4,1,2,3,8,7,6] => 1100011 => [2,3,2] => 153
[5,4,1,2,7,3,6,8] => 1100100 => [2,2,1,2] => 357
[6,4,1,7,2,3,5,8] => 1101000 => [2,1,1,3] => 262
[6,4,1,8,2,3,5,7] => 1101000 => [2,1,1,3] => 262
[7,4,1,2,8,3,6,5] => 1100101 => [2,2,1,1,1] => 582
[7,5,1,2,8,3,6,4] => 1100101 => [2,2,1,1,1] => 582
[7,1,5,2,8,4,6,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[1,7,5,3,8,4,6,2] => 0110101 => [1,2,1,1,1,1] => 969
[1,8,5,3,7,4,6,2] => 0110101 => [1,2,1,1,1,1] => 969
[8,1,5,2,7,4,6,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,5,1,2,7,3,6,4] => 1100101 => [2,2,1,1,1] => 582
[8,4,1,2,7,3,6,5] => 1100101 => [2,2,1,1,1] => 582
[8,4,1,7,2,3,5,6] => 1101000 => [2,1,1,3] => 262
[7,4,1,6,2,3,5,8] => 1101000 => [2,1,1,3] => 262
[8,6,1,7,2,3,5,4] => 1101001 => [2,1,1,2,1] => 603
[8,1,6,7,2,4,5,3] => 1001001 => [1,2,1,2,1] => 603
[1,8,6,7,3,4,5,2] => 0101001 => [1,1,1,1,2,1] => 1023
[1,7,6,8,3,4,5,2] => 0101001 => [1,1,1,1,2,1] => 1023
[7,1,6,8,2,4,5,3] => 1001001 => [1,2,1,2,1] => 603
[7,6,1,8,2,3,5,4] => 1101001 => [2,1,1,2,1] => 603
[4,7,1,2,8,3,6,5] => 0100101 => [1,1,2,1,1,1] => 984
[3,1,7,2,8,4,6,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[3,1,2,7,8,5,6,4] => 1000101 => [1,3,1,1,1] => 427
[1,4,3,8,7,5,6,2] => 0101101 => [1,1,1,2,1,1] => 1006
[4,1,2,8,7,5,6,3] => 1001101 => [1,2,2,1,1] => 594
[3,1,2,8,7,5,6,4] => 1001101 => [1,2,2,1,1] => 594
[3,1,8,2,7,4,6,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[3,1,8,7,2,4,5,6] => 1011000 => [1,1,2,3] => 265
[3,1,7,6,2,4,5,8] => 1011000 => [1,1,2,3] => 265
[4,7,1,6,2,3,5,8] => 0101000 => [1,1,1,1,3] => 450
[4,8,1,6,2,3,5,7] => 0101000 => [1,1,1,1,3] => 450
[4,8,1,7,2,3,5,6] => 0101000 => [1,1,1,1,3] => 450
[4,8,1,2,7,3,6,5] => 0100101 => [1,1,2,1,1,1] => 984
[5,8,1,2,7,3,6,4] => 0100101 => [1,1,2,1,1,1] => 984
[5,1,8,2,7,4,6,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[1,5,8,3,7,4,6,2] => 0010101 => [2,1,1,1,1,1] => 969
[1,6,8,7,3,4,5,2] => 0011001 => [2,2,2,1] => 357
[6,1,8,7,2,4,5,3] => 1011001 => [1,1,2,2,1] => 611
[6,8,1,7,2,3,5,4] => 0101001 => [1,1,1,1,2,1] => 1023
[6,8,7,1,2,3,4,5] => 0110000 => [1,2,4] => 85
[5,8,7,1,2,3,4,6] => 0110000 => [1,2,4] => 85
[5,8,6,1,2,3,4,7] => 0110000 => [1,2,4] => 85
[5,7,6,1,2,3,4,8] => 0110000 => [1,2,4] => 85
[7,8,1,6,2,3,5,4] => 0101001 => [1,1,1,1,2,1] => 1023
[7,1,8,6,2,4,5,3] => 1011001 => [1,1,2,2,1] => 611
[1,7,8,6,3,4,5,2] => 0011001 => [2,2,2,1] => 357
[1,8,7,6,3,4,5,2] => 0111001 => [1,3,2,1] => 259
[8,1,7,6,2,4,5,3] => 1011001 => [1,1,2,2,1] => 611
[8,7,1,6,2,3,5,4] => 1101001 => [2,1,1,2,1] => 603
[3,2,5,1,6,4,8,7] => 1010101 => [1,1,1,1,1,1,1] => 1623
[3,2,5,4,7,1,8,6] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,2,5,3,7,6,8,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,2,5,3,7,1,8,6] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,2,5,3,6,1,8,7] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,2,5,1,6,3,8,7] => 1010101 => [1,1,1,1,1,1,1] => 1623
[3,1,5,4,6,2,8,7] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,1,5,3,6,2,8,7] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,3,5,1,6,2,8,7] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,3,5,2,7,1,8,6] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,3,6,2,7,5,8,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,3,6,2,7,1,8,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,3,6,1,7,2,8,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,3,5,1,7,2,8,6] => 1010101 => [1,1,1,1,1,1,1] => 1623
[3,1,5,4,7,2,8,6] => 1010101 => [1,1,1,1,1,1,1] => 1623
[2,1,5,4,7,3,8,6] => 1010101 => [1,1,1,1,1,1,1] => 1623
[3,1,5,4,7,6,8,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,1,5,3,7,6,8,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,3,5,1,7,6,8,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,3,6,1,7,5,8,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,3,6,5,7,1,8,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,3,6,4,7,2,8,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,3,6,4,7,1,8,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,3,6,1,7,4,8,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,1,6,3,7,4,8,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,1,6,3,7,5,8,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[3,1,6,4,7,5,8,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[2,1,6,4,7,5,8,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[2,1,6,4,7,3,8,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[3,1,6,4,7,2,8,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,1,6,3,7,2,8,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,1,6,3,7,2,8,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,3,6,1,7,2,8,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,3,6,2,7,1,8,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,3,6,2,7,4,8,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,2,6,3,7,4,8,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,2,6,3,7,1,8,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,2,6,1,7,3,8,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,2,5,1,7,3,8,6] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,2,6,1,7,3,8,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,2,6,3,7,1,8,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,2,6,3,7,5,8,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[3,2,6,4,7,5,8,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[3,2,6,4,7,1,8,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[3,2,6,1,7,4,8,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[3,2,5,1,7,4,8,6] => 1010101 => [1,1,1,1,1,1,1] => 1623
[3,2,4,1,7,5,8,6] => 1010101 => [1,1,1,1,1,1,1] => 1623
[3,1,4,2,7,6,8,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[3,2,5,1,7,6,8,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[3,2,6,1,7,5,8,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[3,2,6,5,7,1,8,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,2,6,5,7,3,8,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,2,6,5,7,1,8,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,2,6,1,7,5,8,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,2,5,1,7,6,8,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,1,5,2,7,6,8,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[3,1,5,2,7,6,8,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[2,1,5,3,7,6,8,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[2,1,6,3,7,5,8,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[3,1,6,2,7,5,8,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,1,6,2,7,5,8,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,1,6,2,7,4,8,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,2,6,1,7,4,8,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,2,6,4,7,1,8,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,2,6,4,7,3,8,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,4,6,2,7,3,8,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,4,6,2,7,1,8,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,4,6,1,7,2,8,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,1,6,4,7,2,8,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,1,6,5,7,2,8,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[3,1,6,5,7,2,8,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[2,1,6,5,7,3,8,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[3,1,6,5,7,4,8,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,1,6,5,7,3,8,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,1,6,4,7,3,8,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,4,6,1,7,3,8,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,4,6,3,7,1,8,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,3,5,2,1,6,4,7] => 1011010 => [1,1,2,1,1,1] => 984
[8,6,3,5,2,4,1,7] => 1101010 => [2,1,1,1,1,1] => 969
[3,7,5,2,4,1,8,6] => 0110101 => [1,2,1,1,1,1] => 969
[8,3,7,5,2,4,6,1] => 1011001 => [1,1,2,2,1] => 611
[8,2,4,5,7,3,6,1] => 1000101 => [1,3,1,1,1] => 427
[2,4,5,7,3,1,8,6] => 0001101 => [3,2,1,1] => 256
[8,2,4,6,5,3,1,7] => 1001110 => [1,2,3,1] => 262
[8,2,5,4,6,1,3,7] => 1010100 => [1,1,1,1,1,2] => 1023
[8,6,3,5,1,4,2,7] => 1101010 => [2,1,1,1,1,1] => 969
[8,6,1,4,5,3,2,7] => 1100110 => [2,2,2,1] => 357
[8,1,5,6,4,3,2,7] => 1001110 => [1,2,3,1] => 262
[5,7,4,3,2,1,8,6] => 0111101 => [1,4,1,1] => 145
[8,5,7,4,3,2,6,1] => 1011101 => [1,1,3,1,1] => 439
[4,6,8,3,2,7,5,1] => 0011011 => [2,2,1,2] => 357
[4,7,6,3,2,8,1,5] => 0111010 => [1,3,1,1,1] => 427
[1,4,6,7,3,2,8,5] => 0001101 => [3,2,1,1] => 256
[5,4,7,3,1,8,2,6] => 1011010 => [1,1,2,1,1,1] => 984
[1,7,4,5,3,2,8,6] => 0101101 => [1,1,1,2,1,1] => 1006
[3,7,5,1,4,2,8,6] => 0110101 => [1,2,1,1,1,1] => 969
[5,7,4,2,1,3,8,6] => 0111001 => [1,3,2,1] => 259
[8,5,7,4,2,1,6,3] => 1011101 => [1,1,3,1,1] => 439
[8,3,7,5,1,4,6,2] => 1011001 => [1,1,2,2,1] => 611
[8,4,1,7,5,3,6,2] => 1101101 => [2,1,2,1,1] => 594
[4,6,3,8,7,1,5,2] => 0101101 => [1,1,1,2,1,1] => 1006
[1,7,4,8,6,3,5,2] => 0101101 => [1,1,1,2,1,1] => 1006
[8,4,7,6,3,5,2,1] => 1011011 => [1,1,2,1,2] => 611
[3,6,5,8,7,4,1,2] => 0101110 => [1,1,1,3,1] => 450
[3,1,5,8,6,7,4,2] => 1001011 => [1,2,1,1,2] => 603
[4,8,1,6,7,3,5,2] => 0100101 => [1,1,2,1,1,1] => 984
[3,6,4,1,8,7,5,2] => 0110111 => [1,2,1,3] => 262
[8,2,6,1,4,7,5,3] => 1010011 => [1,1,1,2,2] => 622
[2,7,6,8,1,4,3,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,7,1,6,4,8,2,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,7,3,5,6,8,2,4] => 0100010 => [1,1,3,1,1] => 439
[1,3,6,7,5,8,2,4] => 0001010 => [3,1,1,1,1] => 427
[3,7,6,5,8,2,1,4] => 0110110 => [1,2,1,2,1] => 603
[3,6,8,5,7,2,4,1] => 0010101 => [2,1,1,1,1,1] => 969
[2,3,5,7,6,8,1,4] => 0001010 => [3,1,1,1,1] => 427
[2,1,6,5,7,8,3,4] => 1010010 => [1,1,1,2,1,1] => 1006
[4,2,7,6,8,3,1,5] => 1010110 => [1,1,1,1,2,1] => 1023
[4,2,6,8,7,3,5,1] => 1001101 => [1,2,2,1,1] => 594
[3,8,2,4,6,7,5,1] => 0100011 => [1,1,3,2] => 265
[3,7,2,6,4,8,1,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,2,6,1,4,7,8,5] => 1010001 => [1,1,1,3,1] => 450
[5,3,7,2,1,8,4,6] => 1011010 => [1,1,2,1,1,1] => 984
[4,7,3,2,1,5,8,6] => 0111001 => [1,3,2,1] => 259
[8,7,6,1,3,4,2,5] => 1110010 => [3,2,1,1] => 256
[8,5,7,3,2,1,6,4] => 1011101 => [1,1,3,1,1] => 439
[8,3,6,7,2,1,5,4] => 1001101 => [1,2,2,1,1] => 594
[3,7,8,6,2,1,5,4] => 0011101 => [2,3,1,1] => 256
[8,7,6,3,5,2,4,1] => 1110101 => [3,1,1,1,1] => 427
[2,7,4,8,1,6,5,3] => 0101011 => [1,1,1,1,1,2] => 1023
[4,6,8,2,1,7,5,3] => 0011011 => [2,2,1,2] => 357
[8,4,1,5,7,2,6,3] => 1100101 => [2,2,1,1,1] => 582
[8,5,3,7,1,6,2,4] => 1101010 => [2,1,1,1,1,1] => 969
[8,5,7,2,1,3,6,4] => 1011001 => [1,1,2,2,1] => 611
[8,2,6,7,1,3,5,4] => 1001001 => [1,2,1,2,1] => 603
[8,3,6,1,7,5,2,4] => 1010110 => [1,1,1,1,2,1] => 1023
[4,6,1,8,7,2,5,3] => 0101101 => [1,1,1,2,1,1] => 1006
[8,1,2,5,6,7,4,3] => 1000011 => [1,4,2] => 85
[8,2,6,5,7,4,1,3] => 1010110 => [1,1,1,1,2,1] => 1023
[2,1,7,8,5,6,4,3] => 1001011 => [1,2,1,1,2] => 603
[8,2,5,7,6,4,3,1] => 1001111 => [1,2,4] => 85
[2,7,6,8,5,4,1,3] => 0101110 => [1,1,1,3,1] => 450
[1,7,2,5,8,6,4,3] => 0100111 => [1,1,2,3] => 265
[1,7,4,8,2,6,5,3] => 0101011 => [1,1,1,1,1,2] => 1023
[3,7,8,1,6,5,2,4] => 0010110 => [2,1,1,2,1] => 603
[2,7,8,6,1,3,5,4] => 0011001 => [2,2,2,1] => 357
[8,7,6,3,5,1,4,2] => 1110101 => [3,1,1,1,1] => 427
[8,4,7,6,5,1,3,2] => 1011101 => [1,1,3,1,1] => 439
[8,7,1,5,6,4,3,2] => 1100111 => [2,2,3] => 153
[8,1,6,7,5,4,3,2] => 1001111 => [1,2,4] => 85
[6,5,3,1,2,4,8,7] => 1110001 => [3,3,1] => 110
[4,6,3,5,1,2,8,7] => 0101001 => [1,1,1,1,2,1] => 1023
[8,5,3,7,2,1,4,6] => 1101100 => [2,1,2,2] => 363
[6,8,1,4,5,7,3,2] => 0100011 => [1,1,3,2] => 265
[8,7,2,4,5,1,3,6] => 1100100 => [2,2,1,2] => 357
[3,6,2,4,5,1,8,7] => 0100101 => [1,1,2,1,1,1] => 984
[2,6,1,4,5,3,8,7] => 0100101 => [1,1,2,1,1,1] => 984
[6,1,2,4,5,3,8,7] => 1000101 => [1,3,1,1,1] => 427
[5,6,3,2,1,4,8,7] => 0111001 => [1,3,2,1] => 259
[5,4,3,6,1,2,8,7] => 1101001 => [2,1,1,2,1] => 603
[6,3,1,4,5,2,8,7] => 1100101 => [2,2,1,1,1] => 582
[3,1,6,4,5,2,8,7] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,3,7,4,5,1,2,6] => 1010100 => [1,1,1,1,1,2] => 1023
[5,8,7,4,2,6,3,1] => 0111011 => [1,3,1,2] => 259
[2,8,7,4,1,6,3,5] => 0111010 => [1,3,1,1,1] => 427
[8,1,7,4,2,6,3,5] => 1011010 => [1,1,2,1,1,1] => 984
[3,7,8,4,5,1,2,6] => 0010100 => [2,1,1,1,2] => 603
[2,1,8,7,5,3,4,6] => 1011100 => [1,1,3,2] => 265
[2,1,6,8,5,7,3,4] => 1001010 => [1,2,1,1,1,1] => 969
[5,6,3,8,1,7,2,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[7,6,1,4,5,8,3,2] => 1100011 => [2,3,2] => 153
[3,7,6,4,5,8,2,1] => 0110011 => [1,2,2,2] => 363
[8,5,7,4,1,6,3,2] => 1011011 => [1,1,2,1,2] => 611
[5,1,8,4,7,6,2,3] => 1010110 => [1,1,1,1,2,1] => 1023
[2,5,8,4,7,6,1,3] => 0010110 => [2,1,1,2,1] => 603
[2,4,8,3,5,6,7,1] => 0010001 => [2,1,3,1] => 262
[4,1,8,3,5,6,7,2] => 1010001 => [1,1,1,3,1] => 450
[3,8,4,2,5,6,7,1] => 0110001 => [1,2,3,1] => 262
[8,4,1,3,5,6,7,2] => 1100001 => [2,4,1] => 85
[7,5,8,4,3,6,1,2] => 1011010 => [1,1,2,1,1,1] => 984
[6,5,3,8,4,1,7,2] => 1101101 => [2,1,2,1,1] => 594
[2,1,5,8,4,6,7,3] => 1001001 => [1,2,1,2,1] => 603
[2,1,4,8,3,6,7,5] => 1001001 => [1,2,1,2,1] => 603
[6,4,3,8,2,1,7,5] => 1101101 => [2,1,2,1,1] => 594
[7,3,8,4,2,6,1,5] => 1011010 => [1,1,2,1,1,1] => 984
[8,3,1,2,5,6,7,4] => 1100001 => [2,4,1] => 85
[3,1,8,2,5,6,7,4] => 1010001 => [1,1,1,3,1] => 450
[2,3,8,1,5,6,7,4] => 0010001 => [2,1,3,1] => 262
[4,3,8,2,5,6,7,1] => 1010001 => [1,1,1,3,1] => 450
[4,8,2,3,5,6,7,1] => 0100001 => [1,1,4,1] => 148
[3,8,2,1,5,6,7,4] => 0110001 => [1,2,3,1] => 262
[2,8,1,3,5,6,7,4] => 0100001 => [1,1,4,1] => 148
[8,1,2,3,5,6,7,4] => 1000001 => [1,5,1] => 37
[7,8,2,4,3,6,1,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[6,8,3,2,4,1,7,5] => 0110101 => [1,2,1,1,1,1] => 969
[2,1,8,3,4,6,7,5] => 1010001 => [1,1,1,3,1] => 450
[2,1,7,8,5,4,3,6] => 1001110 => [1,2,3,1] => 262
[5,7,3,8,1,4,2,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[7,1,8,4,5,3,2,6] => 1010110 => [1,1,1,1,2,1] => 1023
[2,7,8,4,5,3,1,6] => 0010110 => [2,1,1,2,1] => 603
[8,7,1,4,3,6,2,5] => 1101010 => [2,1,1,1,1,1] => 969
[3,8,7,4,2,6,1,5] => 0111010 => [1,3,1,1,1] => 427
[5,7,8,4,3,6,2,1] => 0011011 => [2,2,1,2] => 357
[5,6,3,8,4,2,7,1] => 0101101 => [1,1,1,2,1,1] => 1006
[4,8,3,6,2,1,7,5] => 0101101 => [1,1,1,2,1,1] => 1006
[8,6,3,1,4,2,7,5] => 1110101 => [3,1,1,1,1] => 427
[7,5,3,8,2,4,1,6] => 1101010 => [2,1,1,1,1,1] => 969
[2,4,3,1,8,5,7,6] => 0110101 => [1,2,1,1,1,1] => 969
[4,1,3,2,6,8,7,5] => 1010011 => [1,1,1,2,2] => 622
[7,5,3,6,2,8,1,4] => 1101010 => [2,1,1,1,1,1] => 969
[8,6,3,5,1,2,7,4] => 1101001 => [2,1,1,2,1] => 603
[5,8,3,2,6,1,7,4] => 0110101 => [1,2,1,1,1,1] => 969
[4,5,3,8,6,2,7,1] => 0101101 => [1,1,1,2,1,1] => 1006
[3,5,8,4,7,6,2,1] => 0010111 => [2,1,1,3] => 262
[5,8,2,4,7,6,1,3] => 0100110 => [1,1,2,2,1] => 611
[8,7,5,4,1,6,2,3] => 1111010 => [4,1,1,1] => 145
[2,7,6,4,5,8,1,3] => 0110010 => [1,2,2,1,1] => 594
[7,1,6,4,5,8,2,3] => 1010010 => [1,1,1,2,1,1] => 1006
[5,7,3,6,1,8,2,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,1,7,6,5,8,3,4] => 1011010 => [1,1,2,1,1,1] => 984
[2,1,8,5,3,6,7,4] => 1011001 => [1,1,2,2,1] => 611
[6,8,3,5,2,1,7,4] => 0101101 => [1,1,1,2,1,1] => 1006
[7,8,5,4,2,6,1,3] => 0111010 => [1,3,1,1,1] => 427
[8,1,4,2,5,6,7,3] => 1010001 => [1,1,1,3,1] => 450
[2,8,4,1,5,6,7,3] => 0110001 => [1,2,3,1] => 262
[4,8,1,2,5,6,7,3] => 0100001 => [1,1,4,1] => 148
[3,4,8,1,5,6,7,2] => 0010001 => [2,1,3,1] => 262
[3,4,2,8,5,6,7,1] => 0101001 => [1,1,1,1,2,1] => 1023
[2,4,1,8,5,6,7,3] => 0101001 => [1,1,1,1,2,1] => 1023
[4,1,2,8,5,6,7,3] => 1001001 => [1,2,1,2,1] => 603
[8,4,2,1,5,6,7,3] => 1110001 => [3,3,1] => 110
[7,5,2,4,8,6,1,3] => 1100110 => [2,2,2,1] => 357
[6,5,3,2,8,1,7,4] => 1110101 => [3,1,1,1,1] => 427
[2,1,5,3,8,6,7,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,4,3,5,8,1,7,2] => 1100101 => [2,2,1,1,1] => 582
[7,3,5,4,8,6,1,2] => 1010110 => [1,1,1,1,2,1] => 1023
[8,3,4,1,5,6,7,2] => 1010001 => [1,1,1,3,1] => 450
[4,3,1,8,5,6,7,2] => 1101001 => [2,1,1,2,1] => 603
[3,1,4,8,5,6,7,2] => 1001001 => [1,2,1,2,1] => 603
[6,5,3,7,2,8,4,1] => 1101011 => [2,1,1,1,2] => 603
[6,3,7,4,5,8,2,1] => 1010011 => [1,1,1,2,2] => 622
[6,7,2,4,5,8,3,1] => 0100011 => [1,1,3,2] => 265
[5,1,7,4,8,6,3,2] => 1010111 => [1,1,1,1,3] => 450
[2,5,7,4,8,6,3,1] => 0010111 => [2,1,1,3] => 262
[5,6,3,7,1,8,4,2] => 0101011 => [1,1,1,1,1,2] => 1023
[3,8,7,4,5,2,1,6] => 0110110 => [1,2,1,2,1] => 603
[3,7,5,4,8,6,2,1] => 0110111 => [1,2,1,3] => 262
[5,7,1,4,8,6,2,3] => 0100110 => [1,1,2,2,1] => 611
[5,6,3,1,8,2,7,4] => 0110101 => [1,2,1,1,1,1] => 969
[4,6,3,5,8,2,7,1] => 0100101 => [1,1,2,1,1,1] => 984
[4,6,3,8,1,2,7,5] => 0101001 => [1,1,1,1,2,1] => 1023
[3,7,8,4,1,6,2,5] => 0011010 => [2,2,1,1,1] => 582
[3,2,5,1,6,8,4,7] => 1010010 => [1,1,1,2,1,1] => 1006
[3,6,2,5,4,8,1,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,5,2,4,7,1,8,6] => 0100101 => [1,1,2,1,1,1] => 984
[3,5,8,2,4,7,6,1] => 0010011 => [2,1,2,2] => 363
[4,2,5,8,3,7,6,1] => 1001011 => [1,2,1,1,2] => 603
[4,2,6,5,3,8,1,7] => 1011010 => [1,1,2,1,1,1] => 984
[5,4,2,1,6,8,3,7] => 1110010 => [3,2,1,1] => 256
[6,3,5,1,4,8,2,7] => 1010010 => [1,1,1,2,1,1] => 1006
[4,6,1,5,3,8,2,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,1,6,4,3,8,2,7] => 1011010 => [1,1,2,1,1,1] => 984
[5,4,3,2,7,1,8,6] => 1110101 => [3,1,1,1,1] => 427
[5,4,3,8,2,7,6,1] => 1101011 => [2,1,1,1,2] => 603
[4,3,6,2,8,7,5,1] => 1010111 => [1,1,1,1,3] => 450
[4,3,7,6,2,1,8,5] => 1011101 => [1,1,3,1,1] => 439
[6,4,3,1,7,2,8,5] => 1110101 => [3,1,1,1,1] => 427
[7,5,4,3,1,8,2,6] => 1111010 => [4,1,1,1] => 145
[1,4,7,5,8,3,2,6] => 0010110 => [2,1,1,2,1] => 603
[7,1,3,5,8,4,2,6] => 1000110 => [1,3,2,1] => 259
[7,2,5,8,4,1,3,6] => 1001100 => [1,2,2,2] => 363
[2,8,5,7,4,6,1,3] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,5,8,7,1,4,6,2] => 0011001 => [2,2,2,1] => 357
[1,4,5,8,7,3,6,2] => 0001101 => [3,2,1,1] => 256
[1,5,4,8,7,3,6,2] => 0101101 => [1,1,1,2,1,1] => 1006
[6,4,3,8,1,7,5,2] => 1101011 => [2,1,1,1,2] => 603
[4,3,7,1,8,6,5,2] => 1010111 => [1,1,1,1,3] => 450
[4,8,3,7,6,5,2,1] => 0101111 => [1,1,1,4] => 148
[5,3,8,7,6,4,2,1] => 1011111 => [1,1,5] => 37
[7,5,3,1,8,6,4,2] => 1110111 => [3,1,3] => 110
[1,8,6,5,3,7,4,2] => 0111011 => [1,3,1,2] => 259
[1,5,8,6,3,7,4,2] => 0011011 => [2,2,1,2] => 357
[4,6,1,8,7,3,5,2] => 0101101 => [1,1,1,2,1,1] => 1006
[6,8,7,3,1,4,5,2] => 0111001 => [1,3,2,1] => 259
[6,2,8,7,4,5,1,3] => 1011010 => [1,1,2,1,1,1] => 984
[7,6,2,8,4,1,3,5] => 1101100 => [2,1,2,2] => 363
[7,3,1,6,8,4,2,5] => 1100110 => [2,2,2,1] => 357
[1,7,6,4,8,3,2,5] => 0110110 => [1,2,1,2,1] => 603
[5,7,1,6,3,2,8,4] => 0101101 => [1,1,1,2,1,1] => 1006
[6,1,7,5,3,2,8,4] => 1011101 => [1,1,3,1,1] => 439
[7,6,5,3,2,1,8,4] => 1111101 => [5,1,1] => 37
[6,5,3,2,8,7,4,1] => 1110111 => [3,1,3] => 110
[5,2,6,3,8,7,4,1] => 1010111 => [1,1,1,1,3] => 450
[5,2,7,6,3,1,8,4] => 1011101 => [1,1,3,1,1] => 439
[6,5,2,1,7,3,8,4] => 1110101 => [3,1,1,1,1] => 427
[5,2,7,4,1,8,3,6] => 1011010 => [1,1,2,1,1,1] => 984
[4,7,2,6,3,1,8,5] => 0101101 => [1,1,1,2,1,1] => 1006
[2,4,8,6,3,7,5,1] => 0011011 => [2,2,1,2] => 357
[3,8,6,2,4,7,5,1] => 0110011 => [1,2,2,2] => 363
[7,3,6,2,4,1,8,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[3,6,7,2,1,4,8,5] => 0011001 => [2,2,2,1] => 357
[4,3,7,8,2,1,5,6] => 1001100 => [1,2,2,2] => 363
[8,3,7,1,4,6,2,5] => 1010010 => [1,1,1,2,1,1] => 1006
[3,8,2,5,7,1,6,4] => 0100101 => [1,1,2,1,1,1] => 984
[8,3,6,2,7,1,5,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,8,3,6,2,1,5,4] => 0101101 => [1,1,1,2,1,1] => 1006
[8,7,3,6,2,5,4,1] => 1101011 => [2,1,1,1,2] => 603
[4,7,8,2,1,6,5,3] => 0011011 => [2,2,1,2] => 357
[4,2,6,8,1,7,5,3] => 1001011 => [1,2,1,1,2] => 603
[5,4,8,2,7,1,6,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,8,1,5,7,2,6,3] => 0100101 => [1,1,2,1,1,1] => 984
[5,8,3,7,1,6,2,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,8,7,2,6,1,3,4] => 0110100 => [1,2,1,1,2] => 603
[8,6,2,7,5,1,3,4] => 1101100 => [2,1,2,2] => 363
[3,6,8,1,7,5,2,4] => 0010110 => [2,1,1,2,1] => 603
[5,1,6,8,2,7,4,3] => 1001011 => [1,2,1,1,2] => 603
[6,5,2,8,1,7,4,3] => 1101011 => [2,1,1,1,2] => 603
[5,2,7,1,8,6,4,3] => 1010111 => [1,1,1,1,3] => 450
[5,8,2,7,6,4,3,1] => 0101111 => [1,1,1,4] => 148
[6,2,8,7,5,4,3,1] => 1011111 => [1,1,5] => 37
[7,6,2,1,8,5,4,3] => 1110111 => [3,1,3] => 110
[6,1,7,2,8,5,4,3] => 1010111 => [1,1,1,1,3] => 450
[7,5,1,8,2,6,4,3] => 1101011 => [2,1,1,1,2] => 603
[4,7,1,8,6,2,5,3] => 0101101 => [1,1,1,2,1,1] => 1006
[7,8,3,1,6,5,2,4] => 0110110 => [1,2,1,2,1] => 603
[8,7,4,6,1,5,3,2] => 1101011 => [2,1,1,1,2] => 603
[8,5,7,1,6,4,3,2] => 1010111 => [1,1,1,1,3] => 450
[6,8,1,7,5,4,3,2] => 0101111 => [1,1,1,4] => 148
[7,1,8,6,5,4,3,2] => 1011111 => [1,1,5] => 37
[5,4,2,3,7,6,1,8] => 1100110 => [2,2,2,1] => 357
[6,4,2,7,3,5,1,8] => 1101010 => [2,1,1,1,1,1] => 969
[7,4,2,6,3,5,1,8] => 1101010 => [2,1,1,1,1,1] => 969
[8,4,2,6,3,1,5,7] => 1101100 => [2,1,2,2] => 363
[3,2,7,6,4,5,1,8] => 1011010 => [1,1,2,1,1,1] => 984
[4,7,2,6,3,5,1,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,7,6,2,3,4,1,8] => 0110010 => [1,2,2,1,1] => 594
[1,6,5,2,3,8,4,7] => 0110010 => [1,2,2,1,1] => 594
[1,7,5,2,8,3,4,6] => 0110100 => [1,2,1,1,2] => 603
[6,8,5,2,3,1,4,7] => 0110100 => [1,2,1,1,2] => 603
[5,8,6,2,3,1,4,7] => 0110100 => [1,2,1,1,2] => 603
[4,8,2,6,3,1,5,7] => 0101100 => [1,1,1,2,2] => 622
[3,2,8,6,4,1,5,7] => 1011100 => [1,1,3,2] => 265
[3,2,1,6,4,8,5,7] => 1101010 => [2,1,1,1,1,1] => 969
[7,1,5,2,8,3,4,6] => 1010100 => [1,1,1,1,1,2] => 1023
[1,8,5,2,7,3,4,6] => 0110100 => [1,2,1,1,2] => 603
[1,8,6,7,2,3,4,5] => 0101000 => [1,1,1,1,3] => 450
[8,1,6,7,2,3,4,5] => 1001000 => [1,2,1,3] => 262
[7,1,6,8,2,3,4,5] => 1001000 => [1,2,1,3] => 262
[3,2,1,7,8,4,5,6] => 1100100 => [2,2,1,2] => 357
[3,2,8,7,1,4,5,6] => 1011000 => [1,1,2,3] => 265
[5,8,7,2,1,3,4,6] => 0111000 => [1,3,3] => 110
[1,7,6,8,2,3,4,5] => 0101000 => [1,1,1,1,3] => 450
[6,5,8,2,3,1,4,7] => 1010100 => [1,1,1,1,1,2] => 1023
[8,5,7,2,1,3,4,6] => 1011000 => [1,1,2,3] => 265
[6,4,2,8,3,1,5,7] => 1101100 => [2,1,2,2] => 363
[5,4,2,3,8,1,6,7] => 1100100 => [2,2,1,2] => 357
[3,2,5,4,1,8,6,7] => 1011010 => [1,1,2,1,1,1] => 984
[4,5,2,3,1,8,6,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,4,2,3,1,8,6,7] => 1101010 => [2,1,1,1,1,1] => 969
[6,4,2,1,3,8,5,7] => 1110010 => [3,2,1,1] => 256
[7,4,2,1,8,3,5,6] => 1110100 => [3,1,1,2] => 259
[8,4,2,1,7,3,5,6] => 1110100 => [3,1,1,2] => 259
[1,4,2,8,7,3,5,6] => 0101100 => [1,1,1,2,2] => 622
[1,5,8,2,7,3,4,6] => 0010100 => [2,1,1,1,2] => 603
[8,5,1,2,7,3,4,6] => 1100100 => [2,2,1,2] => 357
[7,5,1,2,8,3,4,6] => 1100100 => [2,2,1,2] => 357
[6,5,1,2,3,8,4,7] => 1100010 => [2,3,1,1] => 256
[4,6,2,1,3,8,5,7] => 0110010 => [1,2,2,1,1] => 594
[3,2,6,1,4,8,5,7] => 1010010 => [1,1,1,2,1,1] => 1006
[3,2,7,1,8,4,5,6] => 1010100 => [1,1,1,1,1,2] => 1023
[4,7,2,1,8,3,5,6] => 0110100 => [1,2,1,1,2] => 603
[7,6,1,8,2,3,4,5] => 1101000 => [2,1,1,3] => 262
[8,6,1,7,2,3,4,5] => 1101000 => [2,1,1,3] => 262
[1,6,8,7,2,3,4,5] => 0011000 => [2,2,3] => 153
[1,7,8,6,2,3,4,5] => 0011000 => [2,2,3] => 153
[7,8,1,6,2,3,4,5] => 0101000 => [1,1,1,1,3] => 450
[6,8,1,7,2,3,4,5] => 0101000 => [1,1,1,1,3] => 450
[4,8,2,1,7,3,5,6] => 0110100 => [1,2,1,1,2] => 603
[3,2,8,1,7,4,5,6] => 1010100 => [1,1,1,1,1,2] => 1023
[3,2,1,8,7,4,5,6] => 1101100 => [2,1,2,2] => 363
[5,1,8,2,7,3,4,6] => 1010100 => [1,1,1,1,1,2] => 1023
[6,1,8,7,2,3,4,5] => 1011000 => [1,1,2,3] => 265
[8,1,7,6,2,3,4,5] => 1011000 => [1,1,2,3] => 265
[1,8,7,6,2,3,4,5] => 0111000 => [1,3,3] => 110
[6,3,5,1,2,4,8,7] => 1010001 => [1,1,1,3,1] => 450
[4,3,5,6,1,2,8,7] => 1001001 => [1,2,1,2,1] => 603
[8,3,7,5,2,1,4,6] => 1011100 => [1,1,3,2] => 265
[6,3,7,5,1,8,4,2] => 1011011 => [1,1,2,1,2] => 611
[6,5,2,7,1,8,3,4] => 1101010 => [2,1,1,1,1,1] => 969
[8,5,2,7,4,1,3,6] => 1101100 => [2,1,2,2] => 363
[2,6,1,5,4,3,8,7] => 0101101 => [1,1,1,2,1,1] => 1006
[6,4,3,5,1,2,8,7] => 1101001 => [2,1,1,2,1] => 603
[5,3,1,4,6,2,8,7] => 1100101 => [2,2,1,1,1] => 582
[3,1,4,6,5,2,8,7] => 1001101 => [1,2,2,1,1] => 594
[5,7,4,6,2,8,3,1] => 0101011 => [1,1,1,1,1,2] => 1023
[8,1,4,7,2,6,3,5] => 1001010 => [1,2,1,1,1,1] => 969
[3,4,7,8,5,2,1,6] => 0001110 => [3,3,1] => 110
[2,1,8,5,7,3,4,6] => 1010100 => [1,1,1,1,1,2] => 1023
[8,6,3,5,1,7,4,2] => 1101011 => [2,1,1,1,2] => 603
[5,8,2,4,6,7,3,1] => 0100011 => [1,1,3,2] => 265
[3,4,8,6,5,7,1,2] => 0011010 => [2,2,1,1,1] => 582
[7,5,4,8,1,6,3,2] => 1101011 => [2,1,1,1,2] => 603
[5,1,4,6,8,2,7,3] => 1000101 => [1,3,1,1,1] => 427
[2,5,4,6,7,1,8,3] => 0100101 => [1,1,2,1,1,1] => 984
[2,4,6,3,7,5,8,1] => 0010101 => [2,1,1,1,1,1] => 969
[4,1,6,3,8,5,7,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[3,7,4,2,8,6,5,1] => 0110111 => [1,2,1,3] => 262
[7,4,1,3,5,8,6,2] => 1100011 => [2,3,2] => 153
[6,5,8,4,1,7,3,2] => 1011011 => [1,1,2,1,2] => 611
[8,5,3,7,4,1,6,2] => 1101101 => [2,1,2,1,1] => 594
[2,1,4,8,3,7,6,5] => 1001011 => [1,2,1,1,2] => 603
[7,4,3,8,2,1,6,5] => 1101101 => [2,1,2,1,1] => 594
[6,3,7,4,1,8,2,5] => 1011010 => [1,1,2,1,1,1] => 984
[8,3,1,2,5,7,6,4] => 1100011 => [2,3,2] => 153
[3,1,8,2,7,6,5,4] => 1010111 => [1,1,1,1,3] => 450
[2,3,8,1,6,7,5,4] => 0010011 => [2,1,2,2] => 363
[4,3,7,2,6,8,5,1] => 1010011 => [1,1,1,2,2] => 622
[4,7,2,3,8,5,6,1] => 0100101 => [1,1,2,1,1,1] => 984
[3,8,2,1,7,5,6,4] => 0110101 => [1,2,1,1,1,1] => 969
[2,8,1,3,6,5,7,4] => 0100101 => [1,1,2,1,1,1] => 984
[2,7,8,5,4,3,1,6] => 0011110 => [2,4,1] => 85
[8,7,1,6,3,4,2,5] => 1101010 => [2,1,1,1,1,1] => 969
[3,8,6,7,2,4,1,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,3,8,7,4,2,6,1] => 1011101 => [1,1,3,1,1] => 439
[4,3,8,7,2,1,6,5] => 1011101 => [1,1,3,1,1] => 439
[8,3,6,1,4,2,7,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,3,5,8,2,4,1,6] => 1001010 => [1,2,1,1,1,1] => 969
[2,3,4,1,8,5,7,6] => 0010101 => [2,1,1,1,1,1] => 969
[4,1,3,2,6,7,8,5] => 1010001 => [1,1,1,3,1] => 450
[8,3,5,6,2,7,1,4] => 1001010 => [1,2,1,1,1,1] => 969
[5,3,6,1,8,7,2,4] => 1010110 => [1,1,1,1,2,1] => 1023
[5,6,2,8,7,4,1,3] => 0101110 => [1,1,1,3,1] => 450
[7,8,5,6,1,4,2,3] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,8,6,5,4,7,1,3] => 0111010 => [1,3,1,1,1] => 427
[8,1,6,4,5,7,2,3] => 1010010 => [1,1,1,2,1,1] => 1006
[5,8,3,6,1,7,2,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,1,8,6,5,7,3,4] => 1011010 => [1,1,2,1,1,1] => 984
[2,1,7,5,3,6,8,4] => 1011001 => [1,1,2,2,1] => 611
[6,7,3,5,2,1,8,4] => 0101101 => [1,1,1,2,1,1] => 1006
[7,1,4,2,5,6,8,3] => 1010001 => [1,1,1,3,1] => 450
[2,7,4,1,6,5,8,3] => 0110101 => [1,2,1,1,1,1] => 969
[4,6,1,2,8,7,3,5] => 0100110 => [1,1,2,2,1] => 611
[2,4,1,5,8,7,6,3] => 0100111 => [1,1,2,3] => 265
[4,1,2,5,8,6,7,3] => 1000101 => [1,3,1,1,1] => 427
[6,4,2,1,5,8,7,3] => 1110011 => [3,2,2] => 153
[8,5,2,4,6,1,7,3] => 1100101 => [2,2,1,1,1] => 582
[7,5,3,2,6,8,1,4] => 1110010 => [3,2,1,1] => 256
[2,1,5,3,6,8,7,4] => 1010011 => [1,1,1,2,2] => 622
[7,3,5,4,6,1,8,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,3,4,1,5,7,8,2] => 1010001 => [1,1,1,3,1] => 450
[4,3,1,5,7,6,8,2] => 1100101 => [2,2,1,1,1] => 582
[3,1,4,5,6,8,7,2] => 1000011 => [1,4,2] => 85
[4,5,2,6,3,1,8,7] => 0101101 => [1,1,1,2,1,1] => 1006
[6,5,2,1,4,3,8,7] => 1110101 => [3,1,1,1,1] => 427
[6,5,2,7,4,8,3,1] => 1101011 => [2,1,1,1,2] => 603
[8,5,2,7,4,1,6,3] => 1101101 => [2,1,2,1,1] => 594
[8,3,7,5,2,1,6,4] => 1011101 => [1,1,3,1,1] => 439
[6,3,7,5,2,8,4,1] => 1011011 => [1,1,2,1,2] => 611
[3,1,6,5,4,2,8,7] => 1011101 => [1,1,3,1,1] => 439
[5,6,3,2,4,1,8,7] => 0110101 => [1,2,1,1,1,1] => 969
[3,6,2,4,1,5,8,7] => 0101001 => [1,1,1,1,2,1] => 1023
[2,6,1,3,5,4,8,7] => 0100101 => [1,1,2,1,1,1] => 984
[6,7,2,3,4,8,5,1] => 0100011 => [1,1,3,2] => 265
[8,7,2,3,4,1,6,5] => 1100101 => [2,2,1,1,1] => 582
[5,1,7,3,8,4,6,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[2,5,7,3,8,6,4,1] => 0010111 => [2,1,1,3] => 262
[7,6,1,3,5,8,4,2] => 1100011 => [2,3,2] => 153
[3,6,7,4,1,8,5,2] => 0011011 => [2,2,1,2] => 357
[5,6,3,7,4,8,1,2] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,1,6,7,4,8,5,3] => 1001011 => [1,2,1,1,2] => 603
[2,1,8,7,4,3,6,5] => 1011101 => [1,1,3,1,1] => 439
[5,8,3,7,4,2,6,1] => 0101101 => [1,1,1,2,1,1] => 1006
[3,8,7,4,1,2,6,5] => 0111001 => [1,3,2,1] => 259
[7,8,1,3,5,2,6,4] => 0100101 => [1,1,2,1,1,1] => 984
[5,8,7,3,2,6,1,4] => 0111010 => [1,3,1,1,1] => 427
[2,8,6,3,1,5,7,4] => 0111001 => [1,3,2,1] => 259
[8,1,6,3,2,5,4,7] => 1011010 => [1,1,2,1,1,1] => 984
[2,8,4,1,6,3,7,5] => 0110101 => [1,2,1,1,1,1] => 969
[4,8,1,2,7,6,3,5] => 0100110 => [1,1,2,2,1] => 611
[3,8,4,2,5,7,1,6] => 0110010 => [1,2,2,1,1] => 594
[6,8,3,5,2,7,4,1] => 0101011 => [1,1,1,1,1,2] => 1023
[2,1,5,3,8,7,6,4] => 1010111 => [1,1,1,1,3] => 450
[6,5,3,2,8,7,1,4] => 1110110 => [3,1,2,1] => 259
[7,5,2,4,8,1,6,3] => 1100101 => [2,2,1,1,1] => 582
[3,4,2,8,5,7,6,1] => 0101011 => [1,1,1,1,1,2] => 1023
[2,4,1,8,7,6,5,3] => 0101111 => [1,1,1,4] => 148
[8,4,2,1,7,5,3,6] => 1110110 => [3,1,2,1] => 259
[4,3,1,8,6,7,5,2] => 1101011 => [2,1,1,1,2] => 603
[3,1,4,8,6,5,7,2] => 1001101 => [1,2,2,1,1] => 594
[7,1,6,5,4,8,2,3] => 1011010 => [1,1,2,1,1,1] => 984
[3,7,5,6,8,4,2,1] => 0100111 => [1,1,2,3] => 265
[5,7,1,6,8,2,4,3] => 0100101 => [1,1,2,1,1,1] => 984
[8,6,2,5,1,7,4,3] => 1101011 => [2,1,1,1,2] => 603
[5,6,2,1,8,7,3,4] => 0110110 => [1,2,1,2,1] => 603
[4,6,2,5,8,3,7,1] => 0100101 => [1,1,2,1,1,1] => 984
[7,5,2,6,3,8,1,4] => 1101010 => [2,1,1,1,1,1] => 969
[4,1,2,3,6,8,7,5] => 1000011 => [1,4,2] => 85
[2,4,3,1,8,5,6,7] => 0110100 => [1,2,1,1,2] => 603
[7,5,2,8,3,4,6,1] => 1101001 => [2,1,1,2,1] => 603
[5,6,2,8,4,3,1,7] => 0101110 => [1,1,1,3,1] => 450
[4,7,2,8,1,5,3,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[8,7,2,1,4,5,6,3] => 1110001 => [3,3,1] => 110
[3,6,8,7,1,5,4,2] => 0011011 => [2,2,1,2] => 357
[5,7,8,6,3,4,1,2] => 0011010 => [2,2,1,1,1] => 582
[7,1,8,5,4,3,6,2] => 1011101 => [1,1,3,1,1] => 439
[2,7,8,4,5,3,6,1] => 0010101 => [2,1,1,1,1,1] => 969
[5,7,3,8,1,4,6,2] => 0101001 => [1,1,1,1,2,1] => 1023
[2,1,7,8,5,4,6,3] => 1001101 => [1,2,2,1,1] => 594
[2,1,5,8,4,6,3,7] => 1001010 => [1,2,1,1,1,1] => 969
[6,5,3,8,4,1,2,7] => 1101100 => [2,1,2,2] => 363
[7,5,8,4,3,6,2,1] => 1011011 => [1,1,2,1,2] => 611
[2,4,8,3,5,6,1,7] => 0010010 => [2,1,2,1,1] => 594
[4,1,8,3,6,5,2,7] => 1010110 => [1,1,1,1,2,1] => 1023
[3,4,8,1,7,2,5,6] => 0010100 => [2,1,1,1,2] => 603
[8,4,1,3,7,2,6,5] => 1100101 => [2,2,1,1,1] => 582
[3,1,8,2,4,7,6,5] => 1010011 => [1,1,1,2,2] => 622
[2,3,8,1,4,6,7,5] => 0010001 => [2,1,3,1] => 262
[4,3,8,2,5,1,7,6] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,3,8,4,2,5,7,1] => 1011001 => [1,1,2,2,1] => 611
[7,4,3,8,2,5,1,6] => 1101010 => [2,1,1,1,1,1] => 969
[2,1,4,8,3,5,7,6] => 1001001 => [1,2,1,2,1] => 603
[6,8,2,4,3,5,1,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,8,2,3,5,1,6,7] => 0100100 => [1,1,2,1,2] => 611
[3,8,2,1,4,6,5,7] => 0110010 => [1,2,2,1,1] => 594
[2,8,1,3,4,5,7,6] => 0100001 => [1,1,4,1] => 148
[2,8,4,1,6,5,3,7] => 0110110 => [1,2,1,2,1] => 603
[2,8,4,1,6,5,7,3] => 0110101 => [1,2,1,1,1,1] => 969
[2,8,7,6,1,4,3,5] => 0111010 => [1,3,1,1,1] => 427
[2,8,5,6,7,4,3,1] => 0100111 => [1,1,2,3] => 265
[7,5,8,6,1,4,2,3] => 1011010 => [1,1,2,1,1,1] => 984
[3,5,7,6,1,4,2,8] => 0011010 => [2,2,1,1,1] => 582
[3,5,7,2,4,1,6,8] => 0010100 => [2,1,1,1,2] => 603
[7,5,8,2,4,1,6,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[2,8,5,3,4,7,6,1] => 0110011 => [1,2,2,2] => 363
[2,8,5,3,4,1,7,6] => 0110101 => [1,2,1,1,1,1] => 969
[2,8,5,3,4,1,6,7] => 0110100 => [1,2,1,1,2] => 603
[2,8,7,6,1,4,5,3] => 0111001 => [1,3,2,1] => 259
[2,8,5,3,6,1,7,4] => 0110101 => [1,2,1,1,1,1] => 969
[2,8,5,6,7,4,1,3] => 0100110 => [1,1,2,2,1] => 611
[2,8,5,3,4,7,1,6] => 0110010 => [1,2,2,1,1] => 594
[2,8,5,3,4,6,1,7] => 0110010 => [1,2,2,1,1] => 594
[2,8,5,3,4,6,7,1] => 0110001 => [1,2,3,1] => 262
[3,5,7,2,4,6,1,8] => 0010010 => [2,1,2,1,1] => 594
[6,5,2,7,3,1,4,8] => 1101100 => [2,1,2,2] => 363
[6,5,2,8,3,1,7,4] => 1101101 => [2,1,2,1,1] => 594
[6,5,2,8,3,1,4,7] => 1101100 => [2,1,2,2] => 363
[7,5,8,2,4,6,3,1] => 1010011 => [1,1,1,2,2] => 622
[7,5,8,6,1,4,3,2] => 1011011 => [1,1,2,1,2] => 611
[6,5,8,2,1,3,7,4] => 1011001 => [1,1,2,2,1] => 611
[3,5,6,2,1,8,7,4] => 0011011 => [2,2,1,2] => 357
[3,5,7,6,1,4,8,2] => 0011001 => [2,2,2,1] => 357
[3,5,7,2,4,1,8,6] => 0010101 => [2,1,1,1,1,1] => 969
[3,5,7,2,4,6,8,1] => 0010001 => [2,1,3,1] => 262
[6,5,2,7,3,1,8,4] => 1101101 => [2,1,2,1,1] => 594
[4,5,2,6,3,1,7,8] => 0101100 => [1,1,1,2,2] => 622
[4,1,2,3,7,6,8,5] => 1000101 => [1,3,1,1,1] => 427
[6,5,2,7,3,4,8,1] => 1101001 => [2,1,1,2,1] => 603
[5,1,6,7,4,3,8,2] => 1001101 => [1,2,2,1,1] => 594
[5,1,2,6,4,8,7,3] => 1001011 => [1,2,1,1,2] => 603
[5,1,2,8,6,4,7,3] => 1001101 => [1,2,2,1,1] => 594
[5,1,6,8,7,3,4,2] => 1001101 => [1,2,2,1,1] => 594
[6,5,2,8,3,7,4,1] => 1101011 => [2,1,1,1,2] => 603
[4,1,2,3,8,7,5,6] => 1000110 => [1,3,2,1] => 259
[4,1,2,3,8,6,5,7] => 1000110 => [1,3,2,1] => 259
[4,1,2,3,8,6,7,5] => 1000101 => [1,3,1,1,1] => 427
[4,1,2,3,7,6,5,8] => 1000110 => [1,3,2,1] => 259
[4,1,2,3,8,5,7,6] => 1000101 => [1,3,1,1,1] => 427
[7,1,6,8,4,3,5,2] => 1001101 => [1,2,2,1,1] => 594
[6,1,2,8,4,5,7,3] => 1001001 => [1,2,1,2,1] => 603
[5,6,8,2,3,1,7,4] => 0010101 => [2,1,1,1,1,1] => 969
[6,5,8,2,4,3,1,7] => 1010110 => [1,1,1,1,2,1] => 1023
[6,5,8,2,4,3,7,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,5,2,8,3,4,1,6] => 1101010 => [2,1,1,1,1,1] => 969
[6,5,2,8,3,7,1,4] => 1101010 => [2,1,1,1,1,1] => 969
[6,5,2,7,3,4,1,8] => 1101010 => [2,1,1,1,1,1] => 969
[5,1,6,7,4,3,2,8] => 1001110 => [1,2,3,1] => 262
[5,1,6,8,7,3,2,4] => 1001110 => [1,2,3,1] => 262
[7,1,6,8,4,3,2,5] => 1001110 => [1,2,3,1] => 262
[5,7,8,6,3,4,2,1] => 0011011 => [2,2,1,2] => 357
[4,1,8,3,6,5,7,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,1,8,3,6,2,7,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[3,1,4,8,6,2,7,5] => 1001101 => [1,2,2,1,1] => 594
[3,1,4,8,6,5,2,7] => 1001110 => [1,2,3,1] => 262
[7,1,6,5,8,3,2,4] => 1010110 => [1,1,1,1,2,1] => 1023
[4,1,6,7,8,3,2,5] => 1000110 => [1,3,2,1] => 259
[4,1,6,5,7,3,2,8] => 1010110 => [1,1,1,1,2,1] => 1023
[4,5,2,6,3,7,1,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,5,2,7,3,8,1,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,5,6,2,4,8,7,1] => 0010011 => [2,1,2,2] => 363
[3,5,6,2,4,8,1,7] => 0010010 => [2,1,2,1,1] => 594
[3,7,5,6,8,4,1,2] => 0100110 => [1,1,2,2,1] => 611
[3,6,5,2,8,1,7,4] => 0110101 => [1,2,1,1,1,1] => 969
[6,1,2,5,8,4,7,3] => 1000101 => [1,3,1,1,1] => 427
[7,1,6,5,8,3,4,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,5,2,6,3,8,4,1] => 1101011 => [2,1,1,1,2] => 603
[4,1,2,3,5,8,7,6] => 1000011 => [1,4,2] => 85
[4,1,2,3,7,8,6,5] => 1000011 => [1,4,2] => 85
[4,5,2,7,3,8,6,1] => 0101011 => [1,1,1,1,1,2] => 1023
[4,1,6,7,8,3,5,2] => 1000101 => [1,3,1,1,1] => 427
[4,1,2,6,8,5,7,3] => 1000101 => [1,3,1,1,1] => 427
[4,1,2,5,6,8,7,3] => 1000011 => [1,4,2] => 85
[4,5,2,6,3,7,8,1] => 0101001 => [1,1,1,1,2,1] => 1023
[7,8,5,6,1,4,3,2] => 0101011 => [1,1,1,1,1,2] => 1023
[7,8,4,2,1,5,3,6] => 0111010 => [1,3,1,1,1] => 427
[7,8,2,1,6,5,3,4] => 0110110 => [1,2,1,2,1] => 603
[6,4,1,2,5,7,3,8] => 1100010 => [2,3,1,1] => 256
[2,4,8,1,5,7,3,6] => 0010010 => [2,1,2,1,1] => 594
[4,3,8,1,7,2,5,6] => 1010100 => [1,1,1,1,1,2] => 1023
[6,3,1,4,7,2,5,8] => 1100100 => [2,2,1,2] => 357
[7,8,3,4,5,1,6,2] => 0100101 => [1,1,2,1,1,1] => 984
[7,8,3,5,4,2,1,6] => 0101110 => [1,1,1,3,1] => 450
[7,8,4,1,2,3,6,5] => 0110001 => [1,2,3,1] => 262
[7,8,3,6,5,4,1,2] => 0101110 => [1,1,1,3,1] => 450
[7,8,2,1,5,3,4,6] => 0110100 => [1,2,1,1,2] => 603
[7,8,2,6,4,1,3,5] => 0101100 => [1,1,1,2,2] => 622
[7,8,2,5,6,4,1,3] => 0100110 => [1,1,2,2,1] => 611
[7,8,1,6,5,4,3,2] => 0101111 => [1,1,1,4] => 148
[6,2,1,7,5,4,3,8] => 1101110 => [2,1,3,1] => 262
[2,1,8,7,5,4,3,6] => 1011110 => [1,1,4,1] => 148
[1,3,8,2,6,4,7,5] => 0010101 => [2,1,1,1,1,1] => 969
[5,3,7,1,6,4,8,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,3,6,2,7,4,1,8] => 1010110 => [1,1,1,1,2,1] => 1023
[6,1,2,5,8,7,4,3] => 1000111 => [1,3,3] => 110
[6,3,1,8,4,2,7,5] => 1101101 => [2,1,2,1,1] => 594
[6,4,2,1,5,3,8,7] => 1110101 => [3,1,1,1,1] => 427
[6,4,3,7,5,8,1,2] => 1101010 => [2,1,1,1,1,1] => 969
[4,3,8,7,5,6,1,2] => 1011010 => [1,1,2,1,1,1] => 984
[2,4,7,1,5,3,6,8] => 0010100 => [2,1,1,1,2] => 603
[1,3,7,6,4,2,8,5] => 0011101 => [2,3,1,1] => 256
[2,1,7,5,6,8,4,3] => 1010011 => [1,1,1,2,2] => 622
[3,7,2,8,6,4,1,5] => 0101110 => [1,1,1,3,1] => 450
[3,8,1,7,6,4,5,2] => 0101101 => [1,1,1,2,1,1] => 1006
[1,8,5,7,3,6,4,2] => 0101011 => [1,1,1,1,1,2] => 1023
[2,7,5,8,3,6,1,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,5,6,8,2,4,7,3] => 0001001 => [3,1,2,1] => 259
[2,6,8,5,3,1,4,7] => 0011100 => [2,3,2] => 153
[2,6,1,4,7,3,5,8] => 0100100 => [1,1,2,1,2] => 611
[5,6,7,3,8,4,1,2] => 0010110 => [2,1,1,2,1] => 603
[5,2,8,1,4,7,3,6] => 1010010 => [1,1,1,2,1,1] => 1006
[4,6,7,5,2,1,3,8] => 0011100 => [2,3,2] => 153
[4,5,6,7,2,8,1,3] => 0001010 => [3,1,1,1,1] => 427
[4,5,7,6,1,8,3,2] => 0011011 => [2,2,1,2] => 357
[1,5,8,6,2,7,3,4] => 0011010 => [2,2,1,1,1] => 582
[1,6,5,8,3,2,7,4] => 0101101 => [1,1,1,2,1,1] => 1006
[4,6,5,7,1,2,8,3] => 0101001 => [1,1,1,1,2,1] => 1023
[4,7,5,6,3,1,8,2] => 0101101 => [1,1,1,2,1,1] => 1006
[5,1,6,3,4,2,8,7] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,7,1,4,2,3,8,6] => 0101001 => [1,1,1,1,2,1] => 1023
[5,7,6,4,3,8,1,2] => 0111010 => [1,3,1,1,1] => 427
[6,3,4,5,8,7,1,2] => 1000110 => [1,3,2,1] => 259
[6,2,4,1,8,3,7,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,2,3,5,4,8,1,7] => 1001010 => [1,2,1,1,1,1] => 969
[6,1,3,4,5,8,7,2] => 1000011 => [1,4,2] => 85
[5,1,4,2,7,6,8,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[1,6,2,4,7,8,3,5] => 0100010 => [1,1,3,1,1] => 439
[5,7,2,4,1,6,3,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[6,1,4,2,8,5,3,7] => 1010110 => [1,1,1,1,2,1] => 1023
[6,7,5,8,1,4,3,2] => 0101011 => [1,1,1,1,1,2] => 1023
[5,8,7,6,3,4,1,2] => 0111010 => [1,3,1,1,1] => 427
[5,8,7,6,2,3,1,4] => 0111010 => [1,3,1,1,1] => 427
[4,1,7,2,6,5,3,8] => 1010110 => [1,1,1,1,2,1] => 1023
[4,8,2,1,5,6,3,7] => 0110010 => [1,2,2,1,1] => 594
[4,2,7,8,1,6,3,5] => 1001010 => [1,2,1,1,1,1] => 969
[2,1,8,7,6,5,3,4] => 1011110 => [1,1,4,1] => 148
[3,1,4,7,8,2,6,5] => 1000101 => [1,3,1,1,1] => 427
[3,1,7,4,5,6,8,2] => 1010001 => [1,1,1,3,1] => 450
[4,2,7,1,6,3,8,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,3,7,5,6,8,1,2] => 1010010 => [1,1,1,2,1,1] => 1006
[4,8,6,3,5,7,1,2] => 0110010 => [1,2,2,1,1] => 594
[4,8,1,2,5,3,7,6] => 0100101 => [1,1,2,1,1,1] => 984
[3,8,6,5,2,4,1,7] => 0111010 => [1,3,1,1,1] => 427
[3,8,5,6,1,4,7,2] => 0101001 => [1,1,1,1,2,1] => 1023
[5,3,7,8,2,1,6,4] => 1001101 => [1,2,2,1,1] => 594
[5,2,8,7,1,6,4,3] => 1011011 => [1,1,2,1,2] => 611
[1,6,8,7,5,2,4,3] => 0011101 => [2,3,1,1] => 256
[3,6,7,8,5,1,4,2] => 0001101 => [3,2,1,1] => 256
[3,7,6,8,5,2,1,4] => 0101110 => [1,1,1,3,1] => 450
[3,7,8,5,1,2,4,6] => 0011000 => [2,2,3] => 153
[3,7,1,6,4,2,5,8] => 0101100 => [1,1,1,2,2] => 622
[4,1,8,6,2,3,5,7] => 1011000 => [1,1,2,3] => 265
[4,7,8,6,3,5,1,2] => 0011010 => [2,2,1,1,1] => 582
[3,8,7,6,5,4,1,2] => 0111110 => [1,5,1] => 37
[2,1,7,6,5,3,4,8] => 1011100 => [1,1,3,2] => 265
[2,8,1,6,4,5,3,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,8,7,5,1,4,3,6] => 0111010 => [1,3,1,1,1] => 427
[2,8,6,7,5,1,3,4] => 0101100 => [1,1,1,2,2] => 622
[2,7,8,6,5,4,1,3] => 0011110 => [2,4,1] => 85
[6,4,2,7,1,3,8,5] => 1101001 => [2,1,1,2,1] => 603
[7,4,2,5,1,3,8,6] => 1101001 => [2,1,1,2,1] => 603
[7,5,3,6,1,8,2,4] => 1101010 => [2,1,1,1,1,1] => 969
[8,5,3,6,1,7,2,4] => 1101010 => [2,1,1,1,1,1] => 969
[7,3,6,2,4,8,1,5] => 1010010 => [1,1,1,2,1,1] => 1006
[4,3,7,1,2,5,8,6] => 1010001 => [1,1,1,3,1] => 450
[3,6,2,7,1,4,8,5] => 0101001 => [1,1,1,1,2,1] => 1023
[5,3,6,7,1,2,8,4] => 1001001 => [1,2,1,2,1] => 603
[6,3,7,4,1,2,8,5] => 1011001 => [1,1,2,2,1] => 611
[4,7,1,5,2,3,8,6] => 0101001 => [1,1,1,1,2,1] => 1023
[3,7,5,1,2,4,8,6] => 0110001 => [1,2,3,1] => 262
[7,6,4,2,3,8,1,5] => 1110010 => [3,2,1,1] => 256
[8,6,4,2,3,7,1,5] => 1110010 => [3,2,1,1] => 256
[4,7,6,3,8,1,2,5] => 0110100 => [1,2,1,1,2] => 603
[5,7,4,2,3,8,1,6] => 0110010 => [1,2,2,1,1] => 594
[3,7,6,1,4,8,2,5] => 0110010 => [1,2,2,1,1] => 594
[6,4,7,5,2,8,1,3] => 1011010 => [1,1,2,1,1,1] => 984
[7,4,8,5,2,6,1,3] => 1011010 => [1,1,2,1,1,1] => 984
[5,8,2,6,3,7,1,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,8,6,2,4,7,1,5] => 0110010 => [1,2,2,1,1] => 594
[3,8,5,7,1,2,4,6] => 0101000 => [1,1,1,1,3] => 450
[2,8,5,7,1,3,4,6] => 0101000 => [1,1,1,1,3] => 450
[4,8,6,2,7,1,3,5] => 0110100 => [1,2,1,1,2] => 603
[2,6,5,8,1,3,4,7] => 0101000 => [1,1,1,1,3] => 450
[3,6,5,8,1,2,4,7] => 0101000 => [1,1,1,1,3] => 450
[2,5,7,4,8,1,3,6] => 0010100 => [2,1,1,1,2] => 603
[5,4,6,7,2,8,1,3] => 1001010 => [1,2,1,1,1,1] => 969
[3,5,7,1,4,8,2,6] => 0010010 => [2,1,2,1,1] => 594
[5,3,7,2,4,8,1,6] => 1010010 => [1,1,1,2,1,1] => 1006
[5,4,7,3,8,1,2,6] => 1010100 => [1,1,1,1,1,2] => 1023
[7,4,6,3,8,1,2,5] => 1010100 => [1,1,1,1,1,2] => 1023
[8,4,6,3,7,1,2,5] => 1010100 => [1,1,1,1,1,2] => 1023
[8,4,1,6,7,2,3,5] => 1100100 => [2,2,1,2] => 357
[7,4,1,6,8,2,3,5] => 1100100 => [2,2,1,2] => 357
[6,5,3,7,1,8,2,4] => 1101010 => [2,1,1,1,1,1] => 969
[6,5,1,2,7,8,3,4] => 1100010 => [2,3,1,1] => 256
[5,3,6,4,7,8,1,2] => 1010010 => [1,1,1,2,1,1] => 1006
[6,3,7,4,8,5,1,2] => 1010110 => [1,1,1,1,2,1] => 1023
[4,7,1,5,8,6,2,3] => 0100110 => [1,1,2,2,1] => 611
[7,5,1,2,8,6,3,4] => 1100110 => [2,2,2,1] => 357
[7,5,3,8,1,6,2,4] => 1101010 => [2,1,1,1,1,1] => 969
[7,6,1,8,5,2,3,4] => 1101100 => [2,1,2,2] => 363
[8,6,1,7,5,2,3,4] => 1101100 => [2,1,2,2] => 363
[5,7,2,8,1,6,3,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[6,3,7,8,5,1,2,4] => 1001100 => [1,2,2,2] => 363
[3,6,8,2,7,1,4,5] => 0010100 => [2,1,1,1,2] => 603
[2,4,8,7,1,3,5,6] => 0011000 => [2,2,3] => 153
[4,3,8,7,1,2,5,6] => 1011000 => [1,1,2,3] => 265
[5,3,8,7,1,2,4,6] => 1011000 => [1,1,2,3] => 265
[8,3,7,6,1,2,4,5] => 1011000 => [1,1,2,3] => 265
[8,4,7,6,1,2,3,5] => 1011000 => [1,1,2,3] => 265
[5,4,8,7,1,2,3,6] => 1011000 => [1,1,2,3] => 265
[3,5,8,7,1,2,4,6] => 0011000 => [2,2,3] => 153
[2,5,8,7,1,3,4,6] => 0011000 => [2,2,3] => 153
[4,6,8,2,7,1,3,5] => 0010100 => [2,1,1,1,2] => 603
[6,8,4,7,5,1,2,3] => 0101100 => [1,1,1,2,2] => 622
[5,8,7,1,6,2,3,4] => 0110100 => [1,2,1,1,2] => 603
[2,8,7,6,1,3,4,5] => 0111000 => [1,3,3] => 110
[3,8,7,6,1,2,4,5] => 0111000 => [1,3,3] => 110
[4,8,7,6,1,2,3,5] => 0111000 => [1,3,3] => 110
[5,6,3,1,4,2,8,7] => 0110101 => [1,2,1,1,1,1] => 969
[7,5,3,8,2,1,6,4] => 1101101 => [2,1,2,1,1] => 594
[3,8,7,4,5,1,6,2] => 0110101 => [1,2,1,1,1,1] => 969
[6,7,1,4,5,8,2,3] => 0100010 => [1,1,3,1,1] => 439
[2,1,7,8,5,3,6,4] => 1001101 => [1,2,2,1,1] => 594
[5,7,3,8,1,2,6,4] => 0101001 => [1,1,1,1,2,1] => 1023
[8,7,1,4,5,3,2,6] => 1100110 => [2,2,2,1] => 357
[2,7,8,4,1,6,5,3] => 0011011 => [2,2,1,2] => 357
[7,1,8,4,2,6,5,3] => 1011011 => [1,1,2,1,2] => 611
[7,5,1,4,8,6,3,2] => 1100111 => [2,2,3] => 153
[6,5,3,1,8,4,7,2] => 1110101 => [3,1,1,1,1] => 427
[6,4,3,8,1,5,7,2] => 1101001 => [2,1,1,2,1] => 603
[8,6,3,1,2,5,7,4] => 1110001 => [3,3,1] => 110
[8,7,1,4,2,6,5,3] => 1101011 => [2,1,1,1,2] => 603
[7,3,8,4,1,6,5,2] => 1011011 => [1,1,2,1,2] => 611
[2,3,4,5,6,7,8,1,9] => 00000010 => [6,1,1] => 50
[2,3,4,5,6,8,9,1,7] => 00000010 => [6,1,1] => 50
[2,3,4,5,7,8,9,1,6] => 00000010 => [6,1,1] => 50
[2,3,4,6,7,8,9,1,5] => 00000010 => [6,1,1] => 50
[2,3,5,6,7,8,9,1,4] => 00000010 => [6,1,1] => 50
[2,4,5,6,7,8,9,1,3] => 00000010 => [6,1,1] => 50
[3,4,5,6,7,8,9,1,2] => 00000010 => [6,1,1] => 50
[2,3,4,5,6,7,1,8,9] => 00000100 => [5,1,2] => 138
[2,3,4,5,6,1,9,7,8] => 00001010 => [4,1,1,1,1] => 888
[2,3,4,5,1,8,9,6,7] => 00010010 => [3,1,2,1,1] => 1560
[2,3,4,1,7,8,9,5,6] => 00100010 => [2,1,3,1,1] => 1580
[2,3,1,6,7,8,9,4,5] => 01000010 => [1,1,4,1,1] => 912
[2,1,5,6,7,8,9,3,4] => 10000010 => [1,5,1,1] => 240
[1,4,5,6,7,8,9,2,3] => 00000010 => [6,1,1] => 50
[3,6,4,5,7,2,8,1] => 0100101 => [1,1,2,1,1,1] => 984
[5,3,2,7,4,6,8,1] => 1101001 => [2,1,1,2,1] => 603
[7,5,3,6,2,4,8,1] => 1101001 => [2,1,1,2,1] => 603
[6,3,2,5,1,8,4,7] => 1101010 => [2,1,1,1,1,1] => 969
[8,5,3,6,2,7,1,4] => 1101010 => [2,1,1,1,1,1] => 969
[8,2,6,3,4,7,1,5] => 1010010 => [1,1,1,2,1,1] => 1006
[7,2,6,3,4,5,8,1] => 1010001 => [1,1,1,3,1] => 450
[6,2,7,3,4,5,8,1] => 1010001 => [1,1,1,3,1] => 450
[4,2,5,7,3,6,8,1] => 1001001 => [1,2,1,2,1] => 603
[5,4,7,6,2,3,8,1] => 1011001 => [1,1,2,2,1] => 611
[6,7,3,5,2,4,8,1] => 0101001 => [1,1,1,1,2,1] => 1023
[3,7,6,2,4,5,8,1] => 0110001 => [1,2,3,1] => 262
[2,7,6,3,4,5,8,1] => 0110001 => [1,2,3,1] => 262
[6,5,3,1,2,8,4,7] => 1110010 => [3,2,1,1] => 256
[8,6,5,2,3,7,1,4] => 1110010 => [3,2,1,1] => 256
[8,5,2,1,7,3,4,6] => 1110100 => [3,1,1,2] => 259
[7,5,2,1,8,3,4,6] => 1110100 => [3,1,1,2] => 259
[1,6,3,2,8,4,5,7] => 0110100 => [1,2,1,1,2] => 603
[5,6,2,3,1,8,4,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,2,6,5,1,8,3,7] => 1011010 => [1,1,2,1,1,1] => 984
[5,4,8,6,2,7,1,3] => 1011010 => [1,1,2,1,1,1] => 984
[6,8,3,5,2,7,1,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[7,8,5,2,3,6,1,4] => 0110010 => [1,2,2,1,1] => 594
[6,8,2,1,7,3,4,5] => 0110100 => [1,2,1,1,2] => 603
[1,8,6,3,7,2,4,5] => 0110100 => [1,2,1,1,2] => 603
[1,8,2,7,3,4,5,6] => 0101000 => [1,1,1,1,3] => 450
[2,8,1,7,3,4,5,6] => 0101000 => [1,1,1,1,3] => 450
[3,8,6,1,7,2,4,5] => 0110100 => [1,2,1,1,2] => 603
[4,8,1,5,7,2,3,6] => 0100100 => [1,1,2,1,2] => 611
[4,2,8,3,7,1,5,6] => 1010100 => [1,1,1,1,1,2] => 1023
[8,1,2,7,3,4,5,6] => 1001000 => [1,2,1,3] => 262
[3,6,2,7,1,8,4,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[6,3,7,1,2,8,4,5] => 1010010 => [1,1,1,2,1,1] => 1006
[7,2,6,1,8,3,4,5] => 1010100 => [1,1,1,1,1,2] => 1023
[7,3,1,5,8,2,4,6] => 1100100 => [2,2,1,2] => 357
[3,2,1,5,8,4,6,7] => 1100100 => [2,2,1,2] => 357
[5,4,1,3,6,8,2,7] => 1100010 => [2,3,1,1] => 256
[1,5,3,4,6,8,2,7] => 0100010 => [1,1,3,1,1] => 439
[4,3,5,1,6,8,2,7] => 1010010 => [1,1,1,2,1,1] => 1006
[5,4,6,3,8,7,1,2] => 1010110 => [1,1,1,1,2,1] => 1023
[3,6,4,5,8,7,1,2] => 0100110 => [1,1,2,2,1] => 611
[6,5,3,4,8,7,1,2] => 1100110 => [2,2,2,1] => 357
[5,3,2,8,7,1,4,6] => 1101100 => [2,1,2,2] => 363
[5,3,1,8,7,2,4,6] => 1101100 => [2,1,2,2] => 363
[8,5,3,7,6,1,2,4] => 1101100 => [2,1,2,2] => 363
[6,1,8,3,7,2,4,5] => 1010100 => [1,1,1,1,1,2] => 1023
[6,3,8,1,7,2,4,5] => 1010100 => [1,1,1,1,1,2] => 1023
[7,6,8,2,3,5,1,4] => 1010010 => [1,1,1,2,1,1] => 1006
[3,7,8,2,4,6,1,5] => 0010010 => [2,1,2,1,1] => 594
[6,7,3,8,2,5,1,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,4,7,8,2,6,1,3] => 1001010 => [1,2,1,1,1,1] => 969
[4,2,5,8,7,1,3,6] => 1001100 => [1,2,2,2] => 363
[2,3,8,7,1,4,5,6] => 0011000 => [2,2,3] => 153
[7,2,8,6,1,3,4,5] => 1011000 => [1,1,2,3] => 265
[2,1,8,7,3,4,5,6] => 1011000 => [1,1,2,3] => 265
[8,2,7,6,1,3,4,5] => 1011000 => [1,1,2,3] => 265
[1,2,8,7,3,4,5,6] => 0011000 => [2,2,3] => 153
[1,3,8,7,2,4,5,6] => 0011000 => [2,2,3] => 153
[1,7,8,3,6,2,4,5] => 0010100 => [2,1,1,1,2] => 603
[4,1,5,8,7,2,3,6] => 1001100 => [1,2,2,2] => 363
[5,4,8,7,6,1,2,3] => 1011100 => [1,1,3,2] => 265
[6,8,3,7,5,1,2,4] => 0101100 => [1,1,1,2,2] => 622
[7,8,6,2,5,1,3,4] => 0110100 => [1,2,1,1,2] => 603
[8,1,6,7,3,2,5,4] => 1001101 => [1,2,2,1,1] => 594
[8,1,6,7,3,2,4,5] => 1001100 => [1,2,2,2] => 363
[8,1,5,3,7,2,4,6] => 1010100 => [1,1,1,1,1,2] => 1023
[8,1,5,3,6,2,4,7] => 1010100 => [1,1,1,1,1,2] => 1023
[7,5,1,3,6,2,4,8] => 1100100 => [2,2,1,2] => 357
[7,5,8,3,6,2,4,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,4,8,3,2,6,5,1] => 1011011 => [1,1,2,1,2] => 611
[7,4,1,3,2,6,5,8] => 1101010 => [2,1,1,1,1,1] => 969
[8,1,4,3,2,6,5,7] => 1011010 => [1,1,2,1,1,1] => 984
[8,1,4,3,2,7,5,6] => 1011010 => [1,1,2,1,1,1] => 984
[8,1,4,3,2,7,6,5] => 1011011 => [1,1,2,1,2] => 611
[8,1,5,4,6,7,2,3] => 1010010 => [1,1,1,2,1,1] => 1006
[8,1,5,3,6,2,7,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,1,4,3,2,6,7,5] => 1011001 => [1,1,2,2,1] => 611
[8,1,4,3,2,5,7,6] => 1011001 => [1,1,2,2,1] => 611
[8,1,4,3,2,5,6,7] => 1011000 => [1,1,2,3] => 265
[7,4,1,3,2,5,6,8] => 1101000 => [2,1,1,3] => 262
[7,4,8,3,2,5,6,1] => 1011001 => [1,1,2,2,1] => 611
[6,4,3,8,2,5,7,1] => 1101001 => [2,1,1,2,1] => 603
[6,4,3,1,2,5,8,7] => 1110001 => [3,3,1] => 110
[7,4,1,3,2,5,8,6] => 1101001 => [2,1,1,2,1] => 603
[7,4,1,3,2,6,8,5] => 1101001 => [2,1,1,2,1] => 603
[7,5,1,3,6,2,8,4] => 1100101 => [2,2,1,1,1] => 582
[7,5,1,4,6,8,2,3] => 1100010 => [2,3,1,1] => 256
[7,5,8,3,6,2,1,4] => 1010110 => [1,1,1,1,2,1] => 1023
[7,4,8,3,2,6,1,5] => 1011010 => [1,1,2,1,1,1] => 984
[7,4,8,3,2,5,1,6] => 1011010 => [1,1,2,1,1,1] => 984
[6,4,3,8,2,5,1,7] => 1101010 => [2,1,1,1,1,1] => 969
[6,4,3,7,2,5,8,1] => 1101001 => [2,1,1,2,1] => 603
[5,4,3,2,8,6,1,7] => 1110110 => [3,1,2,1] => 259
[5,4,3,2,8,7,1,6] => 1110110 => [3,1,2,1] => 259
[6,5,3,8,7,2,1,4] => 1101110 => [2,1,3,1] => 262
[6,5,4,8,7,1,2,3] => 1101100 => [2,1,2,2] => 363
[6,5,4,1,7,8,2,3] => 1110010 => [3,2,1,1] => 256
[6,5,3,1,7,2,8,4] => 1110101 => [3,1,1,1,1] => 427
[6,4,3,1,2,7,8,5] => 1110001 => [3,3,1] => 110
[5,4,3,2,1,8,6,7] => 1111010 => [4,1,1,1] => 145
[6,5,3,1,8,2,7,4] => 1110101 => [3,1,1,1,1] => 427
[6,5,4,1,8,7,2,3] => 1110110 => [3,1,2,1] => 259
[7,5,1,4,8,6,2,3] => 1100110 => [2,2,2,1] => 357
[7,4,1,3,2,8,6,5] => 1101011 => [2,1,1,1,2] => 603
[7,4,1,3,2,8,5,6] => 1101010 => [2,1,1,1,1,1] => 969
[6,4,3,1,2,8,5,7] => 1110010 => [3,2,1,1] => 256
[6,4,3,1,2,7,5,8] => 1110010 => [3,2,1,1] => 256
[6,4,3,8,2,7,5,1] => 1101011 => [2,1,1,1,2] => 603
[6,5,3,8,7,2,4,1] => 1101101 => [2,1,2,1,1] => 594
[6,5,3,1,7,2,4,8] => 1110100 => [3,1,1,2] => 259
[6,5,3,1,8,2,4,7] => 1110100 => [3,1,1,2] => 259
[7,5,1,3,8,2,4,6] => 1100100 => [2,2,1,2] => 357
[7,6,1,8,3,2,4,5] => 1101100 => [2,1,2,2] => 363
[7,6,1,8,4,5,2,3] => 1101010 => [2,1,1,1,1,1] => 969
[7,6,8,1,4,5,2,3] => 1010010 => [1,1,1,2,1,1] => 1006
[7,6,8,1,3,2,5,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,5,3,7,8,2,4,1] => 1100101 => [2,2,1,1,1] => 582
[6,4,3,7,2,8,5,1] => 1101011 => [2,1,1,1,2] => 603
[6,4,3,7,2,1,5,8] => 1101100 => [2,1,2,2] => 363
[7,4,8,3,2,1,5,6] => 1011100 => [1,1,3,2] => 265
[7,4,8,3,2,1,6,5] => 1011101 => [1,1,3,1,1] => 439
[7,5,8,3,1,2,6,4] => 1011001 => [1,1,2,2,1] => 611
[7,5,8,4,1,6,2,3] => 1011010 => [1,1,2,1,1,1] => 984
[6,5,4,8,1,7,2,3] => 1101010 => [2,1,1,1,1,1] => 969
[6,5,3,8,1,2,7,4] => 1101001 => [2,1,1,2,1] => 603
[5,4,3,2,8,1,7,6] => 1110101 => [3,1,1,1,1] => 427
[6,4,3,7,2,1,8,5] => 1101101 => [2,1,2,1,1] => 594
[6,5,3,7,1,2,8,4] => 1101001 => [2,1,1,2,1] => 603
[6,5,4,7,1,8,2,3] => 1101010 => [2,1,1,1,1,1] => 969
[6,5,3,7,8,2,1,4] => 1100110 => [2,2,2,1] => 357
[6,4,3,7,2,8,1,5] => 1101010 => [2,1,1,1,1,1] => 969
[5,4,3,2,7,8,1,6] => 1110010 => [3,2,1,1] => 256
[5,4,3,2,6,8,1,7] => 1110010 => [3,2,1,1] => 256
[5,6,2,1,3,4,8,7] => 0110001 => [1,2,3,1] => 262
[5,8,2,7,4,1,3,6] => 0101100 => [1,1,1,2,2] => 622
[5,3,7,8,2,1,4,6] => 1001100 => [1,2,2,2] => 363
[7,6,1,2,5,8,3,4] => 1100010 => [2,3,1,1] => 256
[2,1,7,8,4,3,5,6] => 1001100 => [1,2,2,2] => 363
[8,3,7,4,1,5,6,2] => 1011001 => [1,1,2,2,1] => 611
[7,8,1,2,5,4,6,3] => 0100101 => [1,1,2,1,1,1] => 984
[2,6,8,3,1,4,7,5] => 0011001 => [2,2,2,1] => 357
[6,1,8,3,2,4,5,7] => 1011000 => [1,1,2,3] => 265
[8,4,1,3,7,6,2,5] => 1100110 => [2,2,2,1] => 357
[5,8,7,4,2,1,6,3] => 0111101 => [1,4,1,1] => 145
[7,5,1,6,8,3,4,2] => 1100101 => [2,2,1,1,1] => 582
[6,5,2,1,8,7,4,3] => 1110111 => [3,1,3] => 110
[4,7,2,8,1,3,6,5] => 0101001 => [1,1,1,1,2,1] => 1023
[7,3,8,6,1,2,5,4] => 1011001 => [1,1,2,2,1] => 611
[3,4,7,1,8,2,6,5] => 0010101 => [2,1,1,1,1,1] => 969
[1,8,2,4,3,5,6,7] => 0101000 => [1,1,1,1,3] => 450
[1,7,2,4,3,5,6,8] => 0101000 => [1,1,1,1,3] => 450
[1,6,2,4,3,5,7,8] => 0101000 => [1,1,1,1,3] => 450
[1,5,2,4,3,6,7,8] => 0101000 => [1,1,1,1,3] => 450
[1,6,2,5,3,4,7,8] => 0101000 => [1,1,1,1,3] => 450
[1,7,2,5,3,4,6,8] => 0101000 => [1,1,1,1,3] => 450
[1,8,2,5,3,4,6,7] => 0101000 => [1,1,1,1,3] => 450
[1,8,2,6,3,4,5,7] => 0101000 => [1,1,1,1,3] => 450
[1,7,2,6,3,4,5,8] => 0101000 => [1,1,1,1,3] => 450
[1,8,2,7,3,5,4,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,7,2,8,3,5,4,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,6,2,8,3,5,4,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,5,2,8,3,6,4,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,4,2,8,3,6,5,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,3,2,8,4,6,5,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,2,3,8,4,6,5,7] => 0001010 => [3,1,1,1,1] => 427
[1,2,3,7,4,6,5,8] => 0001010 => [3,1,1,1,1] => 427
[1,3,2,7,4,6,5,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,4,2,7,3,6,5,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,5,2,7,3,6,4,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,6,2,7,3,5,4,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,7,2,6,3,5,4,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,8,2,6,3,5,4,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,8,2,5,3,6,4,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,7,2,5,3,6,4,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,6,2,5,3,7,4,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,5,2,4,3,7,6,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,6,2,4,3,7,5,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,7,2,4,3,6,5,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,8,2,4,3,6,5,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,8,2,3,4,6,5,7] => 0100010 => [1,1,3,1,1] => 439
[1,7,2,3,4,6,5,8] => 0100010 => [1,1,3,1,1] => 439
[1,8,2,3,4,7,5,6] => 0100010 => [1,1,3,1,1] => 439
[1,8,2,4,3,7,5,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,7,2,4,3,8,5,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,6,2,4,3,8,5,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,5,2,4,3,8,6,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,6,2,5,3,8,4,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,7,2,5,3,8,4,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,8,2,5,3,7,4,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,8,2,6,3,7,4,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,7,2,6,3,8,4,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,2,3,8,4,7,5,6] => 0001010 => [3,1,1,1,1] => 427
[1,3,2,8,4,7,5,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,4,2,8,3,7,5,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,5,2,8,3,7,4,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,6,2,8,3,7,4,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,7,2,8,3,6,4,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,8,2,7,3,6,4,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,6,3,7,2,5,1,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,6,3,7,5,2,1,8] => 0101110 => [1,1,1,3,1] => 450
[4,6,3,8,5,1,7,2] => 0101101 => [1,1,1,2,1,1] => 1006
[4,6,3,8,5,1,2,7] => 0101100 => [1,1,1,2,2] => 622
[5,6,8,3,4,1,2,7] => 0010100 => [2,1,1,1,2] => 603
[5,6,8,3,4,1,7,2] => 0010101 => [2,1,1,1,1,1] => 969
[4,6,2,7,5,3,1,8] => 0101110 => [1,1,1,3,1] => 450
[5,6,7,2,4,3,1,8] => 0010110 => [2,1,1,2,1] => 603
[5,6,8,4,3,1,7,2] => 0011101 => [2,3,1,1] => 256
[5,6,8,4,3,1,2,7] => 0011100 => [2,3,2] => 153
[5,7,8,4,1,6,2,3] => 0011010 => [2,2,1,1,1] => 582
[5,7,8,4,1,6,3,2] => 0011011 => [2,2,1,2] => 357
[5,7,8,4,1,3,6,2] => 0011001 => [2,2,2,1] => 357
[5,6,8,4,2,1,7,3] => 0011101 => [2,3,1,1] => 256
[5,6,8,2,4,1,7,3] => 0010101 => [2,1,1,1,1,1] => 969
[4,6,2,8,5,1,7,3] => 0101101 => [1,1,1,2,1,1] => 1006
[3,2,6,8,5,1,7,4] => 1001101 => [1,2,2,1,1] => 594
[3,2,6,8,5,1,4,7] => 1001100 => [1,2,2,2] => 363
[4,6,2,8,5,1,3,7] => 0101100 => [1,1,1,2,2] => 622
[5,6,8,2,4,1,3,7] => 0010100 => [2,1,1,1,2] => 603
[5,6,8,4,2,1,3,7] => 0011100 => [2,3,2] => 153
[5,7,8,4,1,3,2,6] => 0011010 => [2,2,1,1,1] => 582
[5,7,8,4,1,2,6,3] => 0011001 => [2,2,2,1] => 357
[5,7,8,4,1,2,3,6] => 0011000 => [2,2,3] => 153
[6,7,8,1,5,2,3,4] => 0010100 => [2,1,1,1,2] => 603
[6,7,8,1,5,2,4,3] => 0010101 => [2,1,1,1,1,1] => 969
[6,7,8,1,5,3,2,4] => 0010110 => [2,1,1,2,1] => 603
[6,7,8,1,3,5,2,4] => 0010010 => [2,1,2,1,1] => 594
[5,7,8,2,1,6,3,4] => 0011010 => [2,2,1,1,1] => 582
[4,7,2,8,1,6,3,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,2,7,8,1,6,4,5] => 1001010 => [1,2,1,1,1,1] => 969
[3,2,7,8,1,6,5,4] => 1001011 => [1,2,1,1,2] => 603
[4,7,2,8,1,6,5,3] => 0101011 => [1,1,1,1,1,2] => 1023
[5,7,8,2,1,6,4,3] => 0011011 => [2,2,1,2] => 357
[6,7,8,1,3,5,4,2] => 0010011 => [2,1,2,2] => 363
[6,7,8,1,5,3,4,2] => 0010101 => [2,1,1,1,1,1] => 969
[6,7,8,1,5,4,3,2] => 0010111 => [2,1,1,3] => 262
[6,7,8,1,5,4,2,3] => 0010110 => [2,1,1,2,1] => 603
[6,7,8,1,4,5,2,3] => 0010010 => [2,1,2,1,1] => 594
[6,7,8,1,4,5,3,2] => 0010011 => [2,1,2,2] => 363
[6,7,8,1,4,3,5,2] => 0010101 => [2,1,1,1,1,1] => 969
[6,7,8,1,3,4,5,2] => 0010001 => [2,1,3,1] => 262
[5,7,8,2,1,4,6,3] => 0011001 => [2,2,2,1] => 357
[4,7,2,8,1,5,6,3] => 0101001 => [1,1,1,1,2,1] => 1023
[3,2,7,8,1,5,6,4] => 1001001 => [1,2,1,2,1] => 603
[3,2,6,8,4,1,7,5] => 1001101 => [1,2,2,1,1] => 594
[4,6,2,8,3,1,7,5] => 0101101 => [1,1,1,2,1,1] => 1006
[5,6,8,3,2,1,7,4] => 0011101 => [2,3,1,1] => 256
[5,7,8,3,1,4,6,2] => 0011001 => [2,2,2,1] => 357
[5,7,8,3,1,6,4,2] => 0011011 => [2,2,1,2] => 357
[5,7,8,3,1,6,2,4] => 0011010 => [2,2,1,1,1] => 582
[4,7,3,8,1,6,2,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,7,3,8,1,6,5,2] => 0101011 => [1,1,1,1,1,2] => 1023
[4,7,3,8,1,5,6,2] => 0101001 => [1,1,1,1,2,1] => 1023
[4,6,3,8,2,1,7,5] => 0101101 => [1,1,1,2,1,1] => 1006
[4,5,3,2,8,1,7,6] => 0110101 => [1,2,1,1,1,1] => 969
[4,5,2,3,8,1,7,6] => 0100101 => [1,1,2,1,1,1] => 984
[3,2,5,4,8,1,7,6] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,5,3,2,8,1,6,7] => 0110100 => [1,2,1,1,2] => 603
[4,6,3,8,2,1,5,7] => 0101100 => [1,1,1,2,2] => 622
[4,7,3,8,1,5,2,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,7,3,8,1,2,6,5] => 0101001 => [1,1,1,1,2,1] => 1023
[4,7,3,8,1,2,5,6] => 0101000 => [1,1,1,1,3] => 450
[5,7,8,3,1,2,4,6] => 0011000 => [2,2,3] => 153
[5,7,8,3,1,2,6,4] => 0011001 => [2,2,2,1] => 357
[5,7,8,3,1,4,2,6] => 0011010 => [2,2,1,1,1] => 582
[5,6,8,3,2,1,4,7] => 0011100 => [2,3,2] => 153
[3,2,7,8,1,5,4,6] => 1001010 => [1,2,1,1,1,1] => 969
[5,7,8,2,1,4,3,6] => 0011010 => [2,2,1,1,1] => 582
[6,7,8,1,3,4,2,5] => 0010010 => [2,1,2,1,1] => 594
[6,7,8,1,4,3,2,5] => 0010110 => [2,1,1,2,1] => 603
[6,7,8,1,4,2,5,3] => 0010101 => [2,1,1,1,1,1] => 969
[6,7,8,1,4,2,3,5] => 0010100 => [2,1,1,1,2] => 603
[6,7,8,1,2,5,3,4] => 0010010 => [2,1,2,1,1] => 594
[6,7,8,1,2,5,4,3] => 0010011 => [2,1,2,2] => 363
[6,7,8,1,2,4,5,3] => 0010001 => [2,1,3,1] => 262
[6,7,8,1,3,2,5,4] => 0010101 => [2,1,1,1,1,1] => 969
[5,7,8,2,1,3,6,4] => 0011001 => [2,2,2,1] => 357
[3,2,7,8,1,4,6,5] => 1001001 => [1,2,1,2,1] => 603
[6,7,8,1,3,2,4,5] => 0010100 => [2,1,1,1,2] => 603
[6,7,8,1,2,4,3,5] => 0010010 => [2,1,2,1,1] => 594
[6,7,8,1,2,3,5,4] => 0010001 => [2,1,3,1] => 262
[7,2,8,5,1,6,4,3] => 1011011 => [1,1,2,1,2] => 611
[1,3,7,5,2,6,4,8] => 0011010 => [2,2,1,1,1] => 582
[1,3,7,5,4,2,6,8] => 0011100 => [2,3,2] => 153
[7,2,8,5,4,1,6,3] => 1011101 => [1,1,3,1,1] => 439
[2,8,5,4,3,1,7,6] => 0111101 => [1,4,1,1] => 145
[2,8,4,5,6,1,7,3] => 0100101 => [1,1,2,1,1,1] => 984
[2,8,6,5,7,3,1,4] => 0110110 => [1,2,1,2,1] => 603
[2,8,4,5,3,7,1,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,8,4,3,5,6,1,7] => 0110010 => [1,2,2,1,1] => 594
[7,2,8,4,5,6,1,3] => 1010010 => [1,1,1,2,1,1] => 1006
[1,6,3,7,5,2,4,8] => 0101100 => [1,1,1,2,2] => 622
[6,2,3,8,5,1,7,4] => 1001101 => [1,2,2,1,1] => 594
[6,3,2,8,5,1,4,7] => 1101100 => [2,1,2,2] => 363
[7,4,8,2,5,6,3,1] => 1010011 => [1,1,1,2,2] => 622
[7,4,8,5,2,1,3,6] => 1011100 => [1,1,3,2] => 265
[6,4,8,5,1,3,7,2] => 1011001 => [1,1,2,2,1] => 611
[6,3,7,5,2,1,8,4] => 1011101 => [1,1,3,1,1] => 439
[4,3,7,5,1,2,8,6] => 1011001 => [1,1,2,2,1] => 611
[4,3,7,1,5,6,8,2] => 1010001 => [1,1,1,3,1] => 450
[3,6,1,7,5,2,8,4] => 0101101 => [1,1,1,2,1,1] => 1006
[3,4,1,2,7,6,8,5] => 0100101 => [1,1,2,1,1,1] => 984
[3,4,2,1,7,5,8,6] => 0110101 => [1,2,1,1,1,1] => 969
[3,6,5,7,1,4,8,2] => 0101001 => [1,1,1,1,2,1] => 1023
[6,5,2,7,4,1,8,3] => 1101101 => [2,1,2,1,1] => 594
[3,5,2,6,4,8,7,1] => 0101011 => [1,1,1,1,1,2] => 1023
[5,3,1,8,6,4,7,2] => 1101101 => [2,1,2,1,1] => 594
[5,6,1,8,7,2,4,3] => 0101101 => [1,1,1,2,1,1] => 1006
[6,3,5,8,2,7,4,1] => 1001011 => [1,2,1,1,2] => 603
[6,5,8,4,2,3,7,1] => 1011001 => [1,1,2,2,1] => 611
[6,2,5,8,3,7,1,4] => 1001010 => [1,2,1,1,1,1] => 969
[1,6,5,7,3,4,2,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,5,2,7,4,6,3,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,2,1,8,7,6,3,4] => 1101110 => [2,1,3,1] => 262
[7,1,3,8,4,6,2,5] => 1001010 => [1,2,1,1,1,1] => 969
[2,3,4,8,6,1,7,5] => 0001101 => [3,2,1,1] => 256
[2,3,4,8,6,5,1,7] => 0001110 => [3,3,1] => 110
[2,7,3,5,8,6,1,4] => 0100110 => [1,1,2,2,1] => 611
[3,2,4,7,8,6,1,5] => 1000110 => [1,3,2,1] => 259
[1,5,4,6,2,7,3,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,2,4,7,1,8,3,6] => 1001010 => [1,2,1,1,1,1] => 969
[5,3,6,4,1,8,7,2] => 1011011 => [1,1,2,1,2] => 611
[5,3,6,1,4,8,2,7] => 1010010 => [1,1,1,2,1,1] => 1006
[7,3,5,6,8,4,2,1] => 1000111 => [1,3,3] => 110
[6,3,5,1,8,2,7,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[2,6,1,5,8,4,7,3] => 0100101 => [1,1,2,1,1,1] => 984
[2,7,6,5,8,3,4,1] => 0110101 => [1,2,1,1,1,1] => 969
[5,7,1,6,3,8,4,2] => 0101011 => [1,1,1,1,1,2] => 1023
[3,2,4,1,7,8,5,6] => 1010010 => [1,1,1,2,1,1] => 1006
[3,1,4,2,7,8,6,5] => 1010011 => [1,1,1,2,2] => 622
[5,1,4,7,2,8,6,3] => 1001011 => [1,2,1,1,2] => 603
[3,6,4,7,8,2,5,1] => 0100101 => [1,1,2,1,1,1] => 984
[3,1,4,6,8,5,7,2] => 1000101 => [1,3,1,1,1] => 427
[6,3,4,5,7,1,8,2] => 1000101 => [1,3,1,1,1] => 427
[2,5,4,6,1,7,8,3] => 0101001 => [1,1,1,1,2,1] => 1023
[7,2,1,4,3,6,5,8] => 1101010 => [2,1,1,1,1,1] => 969
[7,3,4,1,2,6,5,8] => 1010010 => [1,1,1,2,1,1] => 1006
[7,4,3,2,1,6,5,8] => 1111010 => [4,1,1,1] => 145
[7,6,3,2,5,4,1,8] => 1110110 => [3,1,2,1] => 259
[6,7,3,2,5,4,8,1] => 0110101 => [1,2,1,1,1,1] => 969
[1,8,3,2,5,4,7,6] => 0110101 => [1,2,1,1,1,1] => 969
[1,8,4,5,2,3,7,6] => 0101001 => [1,1,1,1,2,1] => 1023
[7,3,5,1,6,2,4,8] => 1010100 => [1,1,1,1,1,2] => 1023
[7,2,1,5,6,3,4,8] => 1100100 => [2,2,1,2] => 357
[7,2,1,6,5,4,3,8] => 1101110 => [2,1,3,1] => 262
[7,3,6,1,5,4,2,8] => 1010110 => [1,1,1,1,2,1] => 1023
[7,4,6,5,1,3,2,8] => 1011010 => [1,1,2,1,1,1] => 984
[1,8,5,4,3,2,7,6] => 0111101 => [1,4,1,1] => 145
[1,8,6,4,3,7,2,5] => 0111010 => [1,3,1,1,1] => 427
[6,5,7,4,3,1,8,2] => 1011101 => [1,1,3,1,1] => 439
[6,4,7,5,1,3,8,2] => 1011001 => [1,1,2,2,1] => 611
[6,3,7,1,5,4,8,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,2,1,7,5,4,8,3] => 1101101 => [2,1,2,1,1] => 594
[3,2,1,8,5,4,7,6] => 1101101 => [2,1,2,1,1] => 594
[2,3,8,1,5,4,7,6] => 0010101 => [2,1,1,1,1,1] => 969
[2,4,8,5,1,3,7,6] => 0011001 => [2,2,2,1] => 357
[2,5,8,4,3,1,7,6] => 0011101 => [2,3,1,1] => 256
[2,6,8,4,3,7,1,5] => 0011010 => [2,2,1,1,1] => 582
[2,7,8,4,3,6,5,1] => 0011011 => [2,2,1,2] => 357
[1,8,7,4,3,6,5,2] => 0111011 => [1,3,1,2] => 259
[1,8,7,5,6,3,4,2] => 0110101 => [1,2,1,1,1,1] => 969
[2,7,8,5,6,3,4,1] => 0010101 => [2,1,1,1,1,1] => 969
[2,6,8,5,7,3,1,4] => 0010110 => [2,1,1,2,1] => 603
[2,5,8,6,7,1,3,4] => 0010100 => [2,1,1,1,2] => 603
[2,4,8,6,1,7,3,5] => 0011010 => [2,2,1,1,1] => 582
[3,2,1,8,6,7,4,5] => 1101010 => [2,1,1,1,1,1] => 969
[5,2,1,7,6,8,4,3] => 1101011 => [2,1,1,1,2] => 603
[5,3,7,1,6,8,4,2] => 1010011 => [1,1,1,2,2] => 622
[5,4,7,6,1,8,3,2] => 1011011 => [1,1,2,1,2] => 611
[4,5,7,6,8,1,3,2] => 0010101 => [2,1,1,1,1,1] => 969
[4,6,7,5,8,3,1,2] => 0010110 => [2,1,1,2,1] => 603
[1,8,6,5,7,3,2,4] => 0110110 => [1,2,1,2,1] => 603
[1,8,5,6,7,2,3,4] => 0100100 => [1,1,2,1,2] => 611
[4,7,5,6,8,2,3,1] => 0100101 => [1,1,2,1,1,1] => 984
[4,6,5,7,8,2,1,3] => 0100110 => [1,1,2,2,1] => 611
[5,4,6,7,1,8,2,3] => 1001010 => [1,2,1,1,1,1] => 969
[5,3,6,1,7,8,2,4] => 1010010 => [1,1,1,2,1,1] => 1006
[5,2,1,6,7,8,3,4] => 1100010 => [2,3,1,1] => 256
[6,2,1,5,7,3,8,4] => 1100101 => [2,2,1,1,1] => 582
[6,3,5,1,7,2,8,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,4,5,7,1,2,8,3] => 1001001 => [1,2,1,2,1] => 603
[6,5,4,7,2,1,8,3] => 1101101 => [2,1,2,1,1] => 594
[5,6,4,7,2,8,1,3] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,8,4,6,2,7,3,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,8,3,2,6,7,4,5] => 0110010 => [1,2,2,1,1] => 594
[5,7,3,2,6,8,4,1] => 0110011 => [1,2,2,2] => 363
[5,6,3,2,7,8,1,4] => 0110010 => [1,2,2,1,1] => 594
[6,5,3,2,7,1,8,4] => 1110101 => [3,1,1,1,1] => 427
[6,4,3,2,1,7,8,5] => 1111001 => [4,2,1] => 85
[6,2,1,4,3,7,8,5] => 1101001 => [2,1,1,2,1] => 603
[5,2,1,4,3,8,7,6] => 1101011 => [2,1,1,1,2] => 603
[5,3,4,1,2,8,7,6] => 1010011 => [1,1,1,2,2] => 622
[4,6,3,2,8,7,1,5] => 0110110 => [1,2,1,2,1] => 603
[4,7,3,2,8,6,5,1] => 0110111 => [1,2,1,3] => 262
[1,8,3,2,7,6,5,4] => 0110111 => [1,2,1,3] => 262
[1,8,4,7,2,6,5,3] => 0101011 => [1,1,1,1,1,2] => 1023
[3,7,4,8,2,6,5,1] => 0101011 => [1,1,1,1,1,2] => 1023
[3,6,4,8,2,7,1,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,5,4,8,2,1,7,6] => 0101101 => [1,1,1,2,1,1] => 1006
[3,4,5,8,1,2,7,6] => 0001001 => [3,1,2,1] => 259
[4,3,5,1,8,2,7,6] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,2,1,5,8,3,7,6] => 1100101 => [2,2,1,1,1] => 582
[4,2,1,6,8,7,3,5] => 1100110 => [2,2,2,1] => 357
[4,3,6,1,8,7,2,5] => 1010110 => [1,1,1,1,2,1] => 1023
[3,4,6,8,1,7,2,5] => 0001010 => [3,1,1,1,1] => 427
[3,5,6,8,7,1,2,4] => 0001100 => [3,2,2] => 153
[3,6,5,8,7,2,1,4] => 0101110 => [1,1,1,3,1] => 450
[3,7,5,8,6,2,4,1] => 0101101 => [1,1,1,2,1,1] => 1006
[1,8,5,7,6,2,4,3] => 0101101 => [1,1,1,2,1,1] => 1006
[1,8,6,7,5,4,2,3] => 0101110 => [1,1,1,3,1] => 450
[3,6,7,8,5,4,1,2] => 0001110 => [3,3,1] => 110
[3,5,7,8,6,1,4,2] => 0001101 => [3,2,1,1] => 256
[3,4,7,8,1,6,5,2] => 0001011 => [3,1,1,2] => 259
[4,2,1,7,8,6,5,3] => 1100111 => [2,2,3] => 153
[2,3,8,1,7,6,5,4] => 0010111 => [2,1,1,3] => 262
[2,4,8,7,1,6,5,3] => 0011011 => [2,2,1,2] => 357
[2,5,8,7,6,1,4,3] => 0011101 => [2,3,1,1] => 256
[2,6,8,7,5,4,1,3] => 0011110 => [2,4,1] => 85
[7,4,6,1,8,3,5,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,3,5,1,7,4,6,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,3,4,1,7,5,6,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,8,3,1,7,5,6,2] => 0110101 => [1,2,1,1,1,1] => 969
[4,6,2,1,7,5,8,3] => 0110101 => [1,2,1,1,1,1] => 969
[1,4,6,2,7,5,8,3] => 0010101 => [2,1,1,1,1,1] => 969
[1,7,5,2,6,8,4,3] => 0110011 => [1,2,2,2] => 363
[7,5,2,1,6,8,4,3] => 1110011 => [3,2,2] => 153
[6,8,4,3,1,7,5,2] => 0111011 => [1,3,1,2] => 259
[3,6,8,4,1,7,5,2] => 0011011 => [2,2,1,2] => 357
[3,6,7,5,1,8,4,2] => 0011011 => [2,2,1,2] => 357
[7,5,6,1,8,3,4,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[3,4,6,5,7,1,8,2] => 0010101 => [2,1,1,1,1,1] => 969
[4,7,5,6,1,8,3,2] => 0101011 => [1,1,1,1,1,2] => 1023
[6,7,5,1,8,4,3,2] => 0110111 => [1,2,1,3] => 262
[6,8,4,1,7,5,3,2] => 0110111 => [1,2,1,3] => 262
[6,7,5,3,1,8,4,2] => 0111011 => [1,3,1,2] => 259
[8,4,2,1,6,7,5,3] => 1110011 => [3,2,2] => 153
[1,8,4,2,6,7,5,3] => 0110011 => [1,2,2,2] => 363
[1,5,3,2,7,6,8,4] => 0110101 => [1,2,1,1,1,1] => 969
[5,3,2,1,7,6,8,4] => 1110101 => [3,1,1,1,1] => 427
[2,5,3,1,7,6,8,4] => 0110101 => [1,2,1,1,1,1] => 969
[2,8,4,1,6,7,5,3] => 0110011 => [1,2,2,2] => 363
[2,7,5,1,6,8,4,3] => 0110011 => [1,2,2,2] => 363
[2,4,6,1,7,5,8,3] => 0010101 => [2,1,1,1,1,1] => 969
[4,7,1,6,5,8,2,3] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,8,2,6,5,7,1,3] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,6,1,2,7,5,8,3] => 0100101 => [1,1,2,1,1,1] => 984
[7,5,1,2,6,8,4,3] => 1100011 => [2,3,2] => 153
[8,4,1,2,6,7,5,3] => 1100011 => [2,3,2] => 153
[5,3,1,2,7,6,8,4] => 1100101 => [2,2,1,1,1] => 582
[1,2,5,3,7,6,8,4] => 0010101 => [2,1,1,1,1,1] => 969
[4,3,1,2,7,6,8,5] => 1100101 => [2,2,1,1,1] => 582
[3,5,1,2,7,6,8,4] => 0100101 => [1,1,2,1,1,1] => 984
[6,7,1,5,8,2,3,4] => 0100100 => [1,1,2,1,2] => 611
[2,7,6,1,5,8,3,4] => 0110010 => [1,2,2,1,1] => 594
[2,3,5,1,7,6,8,4] => 0010101 => [2,1,1,1,1,1] => 969
[7,6,1,5,8,3,2,4] => 1100110 => [2,2,2,1] => 357
[3,6,7,1,5,8,2,4] => 0010010 => [2,1,2,1,1] => 594
[7,1,6,5,8,2,4,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,5,1,6,8,4,2,3] => 1100110 => [2,2,2,1] => 357
[8,4,1,6,7,5,2,3] => 1100110 => [2,2,2,1] => 357
[5,2,3,1,7,6,8,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[3,5,2,1,7,6,8,4] => 0110101 => [1,2,1,1,1,1] => 969
[1,3,5,2,7,6,8,4] => 0010101 => [2,1,1,1,1,1] => 969
[1,7,6,2,5,8,3,4] => 0110010 => [1,2,2,1,1] => 594
[7,6,2,1,5,8,3,4] => 1110010 => [3,2,1,1] => 256
[8,3,1,5,7,6,2,4] => 1100110 => [2,2,2,1] => 357
[6,2,4,1,7,5,8,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,2,5,1,7,4,8,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,1,6,4,8,2,5,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,2,6,4,7,1,5,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,1,5,2,7,4,8,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,6,2,5,8,3,1,4] => 1100110 => [2,2,2,1] => 357
[8,3,5,7,6,2,1,4] => 1001110 => [1,2,3,1] => 262
[1,8,3,5,7,6,2,4] => 0100110 => [1,1,2,2,1] => 611
[1,5,2,3,7,6,8,4] => 0100101 => [1,1,2,1,1,1] => 984
[5,2,1,3,7,6,8,4] => 1100101 => [2,2,1,1,1] => 582
[7,5,2,6,8,4,1,3] => 1100110 => [2,2,2,1] => 357
[8,4,2,6,7,5,1,3] => 1100110 => [2,2,2,1] => 357
[6,1,4,2,7,5,8,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,2,6,5,7,1,4,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[3,6,8,2,5,7,1,4] => 0010010 => [2,1,2,1,1] => 594
[8,3,2,5,7,6,1,4] => 1100110 => [2,2,2,1] => 357
[5,1,3,2,7,6,8,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,1,3,2,7,6,8,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,2,1,3,7,6,8,5] => 1100101 => [2,2,1,1,1] => 582
[1,4,2,3,7,6,8,5] => 0100101 => [1,1,2,1,1,1] => 984
[2,4,1,3,7,6,8,5] => 0100101 => [1,1,2,1,1,1] => 984
[2,5,1,3,7,6,8,4] => 0100101 => [1,1,2,1,1,1] => 984
[2,8,3,5,7,6,1,4] => 0100110 => [1,1,2,2,1] => 611
[6,8,2,3,5,7,1,4] => 0100010 => [1,1,3,1,1] => 439
[6,7,1,3,5,8,2,4] => 0100010 => [1,1,3,1,1] => 439
[8,3,5,7,6,1,2,4] => 1001100 => [1,2,2,2] => 363
[5,1,2,3,7,6,8,4] => 1000101 => [1,3,1,1,1] => 427
[3,1,2,4,7,6,8,5] => 1000101 => [1,3,1,1,1] => 427
[8,1,2,4,3,6,5,7] => 1001010 => [1,2,1,1,1,1] => 969
[8,1,3,5,6,2,7,4] => 1000101 => [1,3,1,1,1] => 427
[8,1,3,4,2,6,7,5] => 1001001 => [1,2,1,2,1] => 603
[8,1,3,2,4,5,7,6] => 1010001 => [1,1,1,3,1] => 450
[2,7,8,3,4,5,6,1] => 0010001 => [2,1,3,1] => 262
[2,6,3,8,4,5,7,1] => 0101001 => [1,1,1,1,2,1] => 1023
[6,3,2,1,4,5,8,7] => 1110001 => [3,3,1] => 110
[7,3,1,4,2,6,8,5] => 1101001 => [2,1,1,2,1] => 603
[7,4,1,5,6,8,2,3] => 1100010 => [2,3,1,1] => 256
[4,7,8,5,6,1,2,3] => 0010100 => [2,1,1,1,2] => 603
[3,7,8,5,6,2,1,4] => 0010110 => [2,1,1,2,1] => 603
[3,7,8,4,2,6,1,5] => 0011010 => [2,2,1,1,1] => 582
[3,7,8,2,4,5,1,6] => 0010010 => [2,1,2,1,1] => 594
[3,6,2,8,4,5,1,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,3,6,7,4,5,8,1] => 0001001 => [3,1,2,1] => 259
[3,5,2,4,8,6,1,7] => 0100110 => [1,1,2,2,1] => 611
[3,5,4,2,8,7,1,6] => 0110110 => [1,2,1,2,1] => 603
[4,6,5,8,7,1,2,3] => 0101100 => [1,1,1,2,2] => 622
[6,4,5,1,7,8,2,3] => 1010010 => [1,1,1,2,1,1] => 1006
[7,4,1,2,3,8,5,6] => 1100010 => [2,3,1,1] => 256
[6,2,4,1,3,7,5,8] => 1010010 => [1,1,1,2,1,1] => 1006
[2,6,4,8,3,7,5,1] => 0101011 => [1,1,1,1,1,2] => 1023
[2,6,5,8,7,3,4,1] => 0101101 => [1,1,1,2,1,1] => 1006
[6,2,5,1,7,3,4,8] => 1010100 => [1,1,1,1,1,2] => 1023
[6,5,2,1,8,3,4,7] => 1110100 => [3,1,1,2] => 259
[2,5,6,7,8,3,4,1] => 0000101 => [4,1,1,1] => 145
[2,4,6,7,3,8,5,1] => 0001011 => [3,1,1,2] => 259
[4,2,6,7,3,1,5,8] => 1001100 => [1,2,2,2] => 363
[4,7,8,2,3,1,5,6] => 0010100 => [2,1,1,1,2] => 603
[4,7,8,3,2,1,6,5] => 0011101 => [2,3,1,1] => 256
[5,6,4,8,1,7,2,3] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,6,3,8,1,2,7,4] => 0101001 => [1,1,1,1,2,1] => 1023
[4,2,5,3,7,1,6,8] => 1010100 => [1,1,1,1,1,2] => 1023
[4,3,6,7,2,1,8,5] => 1001101 => [1,2,2,1,1] => 594
[3,4,6,7,2,8,1,5] => 0001010 => [3,1,1,1,1] => 427
[3,4,5,2,7,8,1,6] => 0010010 => [2,1,2,1,1] => 594
[3,4,2,5,6,8,1,7] => 0100010 => [1,1,3,1,1] => 439
[5,2,7,8,6,4,1,3] => 1001110 => [1,2,3,1] => 262
[5,1,2,7,8,6,4,3] => 1000111 => [1,3,3] => 110
[4,7,1,8,6,5,2,3] => 0101110 => [1,1,1,3,1] => 450
[4,7,1,2,8,6,5,3] => 0100111 => [1,1,2,3] => 265
[4,6,8,1,2,7,5,3] => 0010011 => [2,1,2,2] => 363
[6,8,7,1,5,3,2,4] => 0110110 => [1,2,1,2,1] => 603
[6,8,7,3,5,1,2,4] => 0110100 => [1,2,1,1,2] => 603
[7,8,1,6,3,5,2,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[7,8,1,3,6,5,2,4] => 0100110 => [1,1,2,2,1] => 611
[7,8,3,6,5,2,1,4] => 0101110 => [1,1,1,3,1] => 450
[4,7,2,8,6,1,5,3] => 0101101 => [1,1,1,2,1,1] => 1006
[1,7,3,4,8,6,5,2] => 0100111 => [1,1,2,3] => 265
[4,2,7,1,8,6,5,3] => 1010111 => [1,1,1,1,3] => 450
[7,8,2,3,6,5,1,4] => 0100110 => [1,1,2,2,1] => 611
[8,5,7,1,6,2,3,4] => 1010100 => [1,1,1,1,1,2] => 1023
[8,5,7,1,2,6,3,4] => 1010010 => [1,1,1,2,1,1] => 1006
[6,8,2,7,1,3,5,4] => 0101001 => [1,1,1,1,2,1] => 1023
[6,8,7,2,5,3,1,4] => 0110110 => [1,2,1,2,1] => 603
[6,2,4,8,7,1,5,3] => 1001101 => [1,2,2,1,1] => 594
[1,6,8,3,7,4,5,2] => 0010101 => [2,1,1,1,1,1] => 969
[1,6,8,3,4,7,5,2] => 0010011 => [2,1,2,2] => 363
[6,2,4,8,1,7,5,3] => 1001011 => [1,2,1,1,2] => 603
[6,8,7,2,3,5,1,4] => 0110010 => [1,2,2,1,1] => 594
[6,8,2,1,7,3,5,4] => 0110101 => [1,2,1,1,1,1] => 969
[8,5,7,2,1,6,3,4] => 1011010 => [1,1,2,1,1,1] => 984
[8,5,7,1,2,3,6,4] => 1010001 => [1,1,1,3,1] => 450
[8,7,6,2,1,4,3,5] => 1111010 => [4,1,1,1] => 145
[8,5,7,2,3,1,6,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,8,4,2,7,1,6,3] => 0110101 => [1,2,1,1,1,1] => 969
[1,8,7,5,3,4,6,2] => 0111001 => [1,3,2,1] => 259
[1,8,7,3,5,4,6,2] => 0110101 => [1,2,1,1,1,1] => 969
[8,2,5,4,7,1,6,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,5,2,7,3,1,6,4] => 1101101 => [2,1,2,1,1] => 594
[8,7,6,2,4,3,1,5] => 1110110 => [3,1,2,1] => 259
[8,7,6,1,2,4,3,5] => 1110010 => [3,2,1,1] => 256
[8,7,6,1,4,2,3,5] => 1110100 => [3,1,1,2] => 259
[8,7,6,4,1,3,2,5] => 1111010 => [4,1,1,1] => 145
[5,8,4,7,2,1,6,3] => 0101101 => [1,1,1,2,1,1] => 1006
[1,8,7,5,4,3,6,2] => 0111101 => [1,4,1,1] => 145
[1,6,8,4,3,7,5,2] => 0011011 => [2,2,1,2] => 357
[6,8,7,3,2,5,1,4] => 0111010 => [1,3,1,1,1] => 427
[6,8,1,7,3,2,5,4] => 0101101 => [1,1,1,2,1,1] => 1006
[8,5,7,3,1,6,2,4] => 1011010 => [1,1,2,1,1,1] => 984
[8,5,7,1,3,2,6,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,5,7,3,1,2,6,4] => 1011001 => [1,1,2,2,1] => 611
[5,8,4,7,1,2,6,3] => 0101001 => [1,1,1,1,2,1] => 1023
[5,8,4,1,7,2,6,3] => 0110101 => [1,2,1,1,1,1] => 969
[5,8,4,7,1,6,2,3] => 0101010 => [1,1,1,1,1,1,1] => 1623
[8,1,2,6,5,7,4,3] => 1001011 => [1,2,1,1,2] => 603
[8,2,5,6,7,4,1,3] => 1000110 => [1,3,2,1] => 259
[4,8,5,7,1,6,2,3] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,8,5,7,1,2,6,3] => 0101001 => [1,1,1,1,2,1] => 1023
[4,8,5,1,7,2,6,3] => 0110101 => [1,2,1,1,1,1] => 969
[8,5,3,1,7,2,6,4] => 1110101 => [3,1,1,1,1] => 427
[8,5,3,7,1,2,6,4] => 1101001 => [2,1,1,2,1] => 603
[6,8,1,3,7,2,5,4] => 0100101 => [1,1,2,1,1,1] => 984
[4,6,2,8,1,7,5,3] => 0101011 => [1,1,1,1,1,2] => 1023
[1,6,4,8,3,7,5,2] => 0101011 => [1,1,1,1,1,2] => 1023
[1,8,7,4,5,3,6,2] => 0110101 => [1,2,1,1,1,1] => 969
[4,8,5,7,2,1,6,3] => 0101101 => [1,1,1,2,1,1] => 1006
[8,5,3,7,2,1,6,4] => 1101101 => [2,1,2,1,1] => 594
[8,7,6,3,1,4,2,5] => 1111010 => [4,1,1,1] => 145
[8,7,6,1,3,2,4,5] => 1110100 => [3,1,1,2] => 259
[8,5,3,2,7,1,6,4] => 1110101 => [3,1,1,1,1] => 427
[4,8,5,2,7,1,6,3] => 0110101 => [1,2,1,1,1,1] => 969
[1,8,7,4,3,5,6,2] => 0111001 => [1,3,2,1] => 259
[1,8,7,3,4,5,6,2] => 0110001 => [1,2,3,1] => 262
[8,2,4,5,7,1,6,3] => 1000101 => [1,3,1,1,1] => 427
[8,5,2,3,7,1,6,4] => 1100101 => [2,2,1,1,1] => 582
[6,3,1,5,4,2,8,7] => 1101101 => [2,1,2,1,1] => 594
[8,3,1,5,2,7,6,4] => 1101011 => [2,1,1,1,2] => 603
[8,5,4,2,1,7,3,6] => 1111010 => [4,1,1,1] => 145
[8,5,4,2,1,7,6,3] => 1111011 => [4,1,2] => 85
[6,5,4,2,1,3,8,7] => 1111001 => [4,2,1] => 85
[6,5,4,2,3,1,8,7] => 1110101 => [3,1,1,1,1] => 427
[6,3,2,5,1,4,8,7] => 1101001 => [2,1,1,2,1] => 603
[6,5,4,3,1,2,8,7] => 1111001 => [4,2,1] => 85
[6,5,4,1,3,2,8,7] => 1110101 => [3,1,1,1,1] => 427
[8,5,4,1,2,7,6,3] => 1110011 => [3,2,2] => 153
[8,7,4,1,6,3,2,5] => 1110110 => [3,1,2,1] => 259
[8,7,4,1,6,3,5,2] => 1110101 => [3,1,1,1,1] => 427
[8,7,4,1,6,5,3,2] => 1110111 => [3,1,3] => 110
[8,5,4,1,3,7,6,2] => 1110011 => [3,2,2] => 153
[8,5,4,3,1,7,6,2] => 1111011 => [4,1,2] => 85
[8,3,2,5,1,7,6,4] => 1101011 => [2,1,1,1,2] => 603
[2,1,8,5,3,7,6,4] => 1011011 => [1,1,2,1,2] => 611
[8,3,2,5,1,7,4,6] => 1101010 => [2,1,1,1,1,1] => 969
[8,5,4,3,1,7,2,6] => 1111010 => [4,1,1,1] => 145
[8,5,4,1,3,7,2,6] => 1110010 => [3,2,1,1] => 256
[8,7,4,1,6,5,2,3] => 1110110 => [3,1,2,1] => 259
[8,7,4,1,6,2,5,3] => 1110101 => [3,1,1,1,1] => 427
[8,7,6,5,2,1,4,3] => 1111101 => [5,1,1] => 37
[8,7,4,3,6,2,1,5] => 1110110 => [3,1,2,1] => 259
[8,3,2,7,6,4,1,5] => 1101110 => [2,1,3,1] => 262
[2,1,8,7,6,4,3,5] => 1011110 => [1,1,4,1] => 148
[2,1,8,7,6,4,5,3] => 1011101 => [1,1,3,1,1] => 439
[8,3,2,7,6,4,5,1] => 1101101 => [2,1,2,1,1] => 594
[8,7,4,3,6,2,5,1] => 1110101 => [3,1,1,1,1] => 427
[8,7,6,5,2,4,3,1] => 1111011 => [4,1,2] => 85
[8,5,4,2,3,7,6,1] => 1110011 => [3,2,2] => 153
[8,7,4,2,6,5,3,1] => 1110111 => [3,1,3] => 110
[8,7,4,2,6,3,5,1] => 1110101 => [3,1,1,1,1] => 427
[8,7,4,2,6,3,1,5] => 1110110 => [3,1,2,1] => 259
[8,3,1,7,6,4,2,5] => 1101110 => [2,1,3,1] => 262
[8,3,1,7,6,4,5,2] => 1101101 => [2,1,2,1,1] => 594
[8,3,1,7,6,5,4,2] => 1101111 => [2,1,4] => 85
[8,3,1,5,4,7,6,2] => 1101011 => [2,1,1,1,2] => 603
[8,3,1,5,4,7,2,6] => 1101010 => [2,1,1,1,1,1] => 969
[8,3,1,7,6,5,2,4] => 1101110 => [2,1,3,1] => 262
[8,3,1,7,6,2,5,4] => 1101101 => [2,1,2,1,1] => 594
[8,7,4,2,6,1,5,3] => 1110101 => [3,1,1,1,1] => 427
[8,7,4,2,6,5,1,3] => 1110110 => [3,1,2,1] => 259
[8,5,4,2,3,7,1,6] => 1110010 => [3,2,1,1] => 256
[8,3,2,5,4,7,1,6] => 1101010 => [2,1,1,1,1,1] => 969
[2,1,8,5,4,7,3,6] => 1011010 => [1,1,2,1,1,1] => 984
[8,3,2,7,6,5,1,4] => 1101110 => [2,1,3,1] => 262
[8,7,4,3,6,5,1,2] => 1110110 => [3,1,2,1] => 259
[8,7,6,5,3,1,4,2] => 1111101 => [5,1,1] => 37
[8,7,6,5,1,3,2,4] => 1111010 => [4,1,1,1] => 145
[8,7,6,5,1,3,4,2] => 1111001 => [4,2,1] => 85
[8,7,6,5,1,4,3,2] => 1111011 => [4,1,2] => 85
[8,7,6,5,4,1,3,2] => 1111101 => [5,1,1] => 37
[8,7,4,3,6,1,5,2] => 1110101 => [3,1,1,1,1] => 427
[8,3,2,7,6,1,5,4] => 1101101 => [2,1,2,1,1] => 594
[2,1,8,7,6,3,5,4] => 1011101 => [1,1,3,1,1] => 439
[8,3,2,7,6,1,4,5] => 1101100 => [2,1,2,2] => 363
[8,7,6,5,1,4,2,3] => 1111010 => [4,1,1,1] => 145
[8,7,6,5,1,2,4,3] => 1111001 => [4,2,1] => 85
[7,3,5,1,8,4,6,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,3,4,1,8,5,6,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,5,6,2,1,8,7,3] => 0011011 => [2,2,1,2] => 357
[1,6,5,2,7,4,3,8] => 0110110 => [1,2,1,2,1] => 603
[7,4,3,1,8,6,5,2] => 1110111 => [3,1,3] => 110
[7,6,5,1,8,4,3,2] => 1110111 => [3,1,3] => 110
[7,6,4,1,8,5,3,2] => 1110111 => [3,1,3] => 110
[6,4,2,1,8,7,5,3] => 1110111 => [3,1,3] => 110
[1,6,4,2,7,5,3,8] => 0110110 => [1,2,1,2,1] => 603
[1,5,3,2,7,6,4,8] => 0110110 => [1,2,1,2,1] => 603
[5,3,2,1,8,7,6,4] => 1110111 => [3,1,3] => 110
[2,5,3,1,7,8,6,4] => 0110011 => [1,2,2,2] => 363
[2,6,4,1,7,8,5,3] => 0110011 => [1,2,2,2] => 363
[2,6,5,1,7,8,4,3] => 0110011 => [1,2,2,2] => 363
[4,5,7,1,6,8,2,3] => 0010010 => [2,1,2,1,1] => 594
[6,5,1,2,8,4,3,7] => 1100110 => [2,2,2,1] => 357
[6,4,1,2,8,5,3,7] => 1100110 => [2,2,2,1] => 357
[5,3,1,2,8,6,4,7] => 1100110 => [2,2,2,1] => 357
[4,3,1,2,8,6,5,7] => 1100110 => [2,2,2,1] => 357
[6,1,2,5,8,3,4,7] => 1000100 => [1,3,1,2] => 259
[7,1,3,4,8,2,5,6] => 1000100 => [1,3,1,2] => 259
[7,1,5,6,8,2,3,4] => 1000100 => [1,3,1,2] => 259
[2,6,1,5,7,8,3,4] => 0100010 => [1,1,3,1,1] => 439
[7,4,1,6,8,5,2,3] => 1100110 => [2,2,2,1] => 357
[5,2,3,1,8,6,7,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[3,5,2,1,6,8,7,4] => 0110011 => [1,2,2,2] => 363
[1,6,2,5,7,3,4,8] => 0100100 => [1,1,2,1,2] => 611
[6,2,1,5,8,7,3,4] => 1100110 => [2,2,2,1] => 357
[7,3,1,5,8,6,2,4] => 1100110 => [2,2,2,1] => 357
[6,2,4,1,8,5,7,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,2,5,1,8,4,7,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,3,1,4,8,6,2,5] => 1100110 => [2,2,2,1] => 357
[6,2,1,4,8,7,3,5] => 1100110 => [2,2,2,1] => 357
[1,6,2,4,7,3,5,8] => 0100100 => [1,1,2,1,2] => 611
[5,2,1,3,8,7,4,6] => 1100110 => [2,2,2,1] => 357
[7,4,1,3,8,5,2,6] => 1100110 => [2,2,2,1] => 357
[7,5,1,3,8,4,2,6] => 1100110 => [2,2,2,1] => 357
[3,6,7,1,4,8,2,5] => 0010010 => [2,1,2,1,1] => 594
[7,6,1,4,8,3,2,5] => 1100110 => [2,2,2,1] => 357
[4,2,1,3,8,7,5,6] => 1100110 => [2,2,2,1] => 357
[2,6,1,4,7,8,3,5] => 0100010 => [1,1,3,1,1] => 439
[7,1,4,6,8,2,3,5] => 1000100 => [1,3,1,2] => 259
[7,1,3,5,8,2,4,6] => 1000100 => [1,3,1,2] => 259
[6,1,2,4,8,3,5,7] => 1000100 => [1,3,1,2] => 259
[5,2,3,1,6,4,8,7] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,4,5,2,3,1,8,6] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,6,7,3,5,2,4,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,3,5,2,4,1,8,6] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,3,5,2,4,1,8,7] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,2,4,1,6,3,8,7] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,1,6,3,5,2,8,7] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,3,4,1,5,2,8,7] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,2,6,3,4,1,8,7] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,2,7,3,4,1,8,6] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,2,8,6,7,3,4,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,2,8,5,7,3,4,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,2,7,3,4,1,8,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,3,4,1,5,2,8,6] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,1,7,3,5,2,8,6] => 1010101 => [1,1,1,1,1,1,1] => 1623
[3,1,7,4,5,2,8,6] => 1010101 => [1,1,1,1,1,1,1] => 1623
[2,1,7,4,5,3,8,6] => 1010101 => [1,1,1,1,1,1,1] => 1623
[3,1,8,6,7,4,5,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,1,8,6,7,3,5,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,6,7,3,4,1,5,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,5,7,3,4,1,6,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,5,6,2,7,3,4,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,4,7,3,5,1,6,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,1,8,4,7,3,6,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,1,8,5,7,3,6,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[3,1,8,5,7,4,6,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[2,1,8,5,7,4,6,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[2,1,7,4,6,3,8,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[3,1,7,4,6,2,8,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,1,7,3,6,2,8,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,1,7,3,6,2,8,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,2,7,3,5,1,8,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,2,8,4,7,3,5,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,4,7,3,6,2,5,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,3,6,2,5,1,8,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,2,5,1,7,3,8,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,2,4,1,7,3,8,6] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,2,4,1,7,3,8,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,5,7,3,6,2,4,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,5,7,4,6,2,3,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,4,6,2,3,1,8,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,2,3,1,7,4,8,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,2,3,1,7,4,8,6] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,2,3,1,7,5,8,6] => 1010101 => [1,1,1,1,1,1,1] => 1623
[3,1,4,2,8,6,7,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,2,3,1,8,5,7,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,5,6,2,3,1,7,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,4,8,5,6,2,3,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,3,8,5,6,2,4,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,5,6,2,4,1,7,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,2,4,1,8,6,7,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,1,5,2,8,6,7,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[3,1,5,2,8,6,7,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[2,1,6,3,8,5,7,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[3,1,6,2,8,5,7,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,1,6,2,8,5,7,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,1,6,2,8,4,7,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,4,6,2,5,1,7,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,3,8,4,6,2,5,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,2,7,3,8,4,5,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,4,5,1,6,2,7,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,1,8,4,6,2,7,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,1,8,5,6,2,7,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[3,1,8,5,6,2,7,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[2,1,8,5,6,3,7,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[2,1,7,4,8,5,6,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[3,1,7,4,8,5,6,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,1,7,3,8,5,6,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,3,8,4,5,1,6,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,4,5,1,7,3,6,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,3,6,2,8,4,5,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,8,5,6,1,3,4,2] => 0101001 => [1,1,1,1,2,1] => 1023
[7,8,1,3,6,2,5,4] => 0100101 => [1,1,2,1,1,1] => 984
[1,3,8,4,7,2,5,6] => 0010100 => [2,1,1,1,2] => 603
[3,6,1,4,7,2,5,8] => 0100100 => [1,1,2,1,2] => 611
[4,6,1,2,5,7,3,8] => 0100010 => [1,1,3,1,1] => 439
[1,4,8,2,5,7,3,6] => 0010010 => [2,1,2,1,1] => 594
[7,8,2,4,5,6,1,3] => 0100010 => [1,1,3,1,1] => 439
[7,8,1,5,4,6,3,2] => 0101011 => [1,1,1,1,1,2] => 1023
[7,8,2,1,6,3,4,5] => 0110100 => [1,2,1,1,2] => 603
[7,8,3,5,6,4,1,2] => 0100110 => [1,1,2,2,1] => 611
[7,8,1,4,2,3,6,5] => 0101001 => [1,1,1,1,2,1] => 1023
[7,8,5,1,4,2,6,3] => 0110101 => [1,2,1,1,1,1] => 969
[7,8,4,5,3,1,6,2] => 0101101 => [1,1,1,2,1,1] => 1006
[1,5,8,4,3,2,7,6] => 0011101 => [2,3,1,1] => 256
[5,6,1,4,3,2,7,8] => 0101100 => [1,1,1,2,2] => 622
[2,6,4,8,3,7,1,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,4,6,8,3,7,5,2] => 0001011 => [3,1,1,2] => 259
[2,4,8,5,3,1,6,7] => 0011100 => [2,3,2] => 153
[2,5,8,1,4,7,6,3] => 0010011 => [2,1,2,2] => 363
[3,5,8,4,7,6,1,2] => 0010110 => [2,1,1,2,1] => 603
[1,6,2,4,7,3,8,5] => 0100101 => [1,1,2,1,1,1] => 984
[5,6,2,1,4,7,8,3] => 0110001 => [1,2,3,1] => 262
[4,6,2,5,3,1,8,7] => 0101101 => [1,1,1,2,1,1] => 1006
[4,7,5,1,3,6,8,2] => 0110001 => [1,2,3,1] => 262
[7,5,3,6,2,4,1,8] => 1101010 => [2,1,1,1,1,1] => 969
[5,7,3,6,1,4,8,2] => 0101001 => [1,1,1,1,2,1] => 1023
[5,3,6,7,2,1,8,4] => 1001101 => [1,2,2,1,1] => 594
[6,1,7,5,2,4,8,3] => 1011001 => [1,1,2,2,1] => 611
[6,3,1,2,4,5,8,7] => 1100001 => [2,4,1] => 85
[1,4,7,2,5,3,8,6] => 0010101 => [2,1,1,1,1,1] => 969
[4,6,7,8,3,5,1,2] => 0001010 => [3,1,1,1,1] => 427
[3,6,1,8,4,2,5,7] => 0101100 => [1,1,1,2,2] => 622
[1,6,7,5,8,2,4,3] => 0010101 => [2,1,1,1,1,1] => 969
[3,5,6,7,8,1,4,2] => 0000101 => [4,1,1,1] => 145
[3,6,5,7,8,2,1,4] => 0100110 => [1,1,2,2,1] => 611
[5,2,7,6,1,4,3,8] => 1011010 => [1,1,2,1,1,1] => 984
[2,5,7,6,8,1,3,4] => 0010100 => [2,1,1,1,2] => 603
[2,7,5,6,8,4,1,3] => 0100110 => [1,1,2,2,1] => 611
[2,1,6,8,4,5,3,7] => 1001010 => [1,2,1,1,1,1] => 969
[2,7,1,8,5,3,4,6] => 0101100 => [1,1,1,2,2] => 622
[3,7,6,8,5,4,1,2] => 0101110 => [1,1,1,3,1] => 450
[4,3,8,5,6,7,1,2] => 1010010 => [1,1,1,2,1,1] => 1006
[4,2,8,1,6,3,7,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[3,1,8,5,4,6,7,2] => 1011001 => [1,1,2,2,1] => 611
[3,2,8,4,5,6,1,7] => 1010010 => [1,1,1,2,1,1] => 1006
[3,4,2,8,6,1,7,5] => 0101101 => [1,1,1,2,1,1] => 1006
[3,4,7,1,5,2,6,8] => 0010100 => [2,1,1,1,2] => 603
[4,3,7,8,1,2,6,5] => 1001001 => [1,2,1,2,1] => 603
[1,7,3,8,5,2,6,4] => 0101101 => [1,1,1,2,1,1] => 1006
[4,1,8,3,6,2,5,7] => 1010100 => [1,1,1,1,1,2] => 1023
[5,7,8,6,3,2,1,4] => 0011110 => [2,4,1] => 85
[5,7,8,6,1,3,4,2] => 0011001 => [2,2,2,1] => 357
[7,6,5,8,1,3,4,2] => 1101001 => [2,1,1,2,1] => 603
[1,6,4,3,8,2,5,7] => 0110100 => [1,2,1,1,2] => 603
[7,1,3,4,8,2,6,5] => 1000101 => [1,3,1,1,1] => 427
[3,6,5,4,1,2,7,8] => 0111000 => [1,3,3] => 110
[2,4,5,1,7,8,6,3] => 0010011 => [2,1,2,2] => 363
[2,6,3,4,5,8,1,7] => 0100010 => [1,1,3,1,1] => 439
[2,6,4,1,8,3,7,5] => 0110101 => [1,2,1,1,1,1] => 969
[7,3,6,4,8,5,1,2] => 1010110 => [1,1,1,1,2,1] => 1023
[7,2,1,4,8,3,5,6] => 1100100 => [2,2,1,2] => 357
[7,1,6,5,3,8,4,2] => 1011011 => [1,1,2,1,2] => 611
[7,2,5,6,3,8,1,4] => 1001010 => [1,2,1,1,1,1] => 969
[6,5,2,7,1,8,4,3] => 1101011 => [2,1,1,1,2] => 603
[5,6,2,7,3,1,4,8] => 0101100 => [1,1,1,2,2] => 622
[5,6,7,4,2,8,1,3] => 0011010 => [2,2,1,1,1] => 582
[5,7,6,4,1,8,3,2] => 0111011 => [1,3,1,2] => 259
[6,7,1,5,2,8,3,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,7,5,2,4,8,3,6] => 0110010 => [1,2,2,1,1] => 594
[6,1,5,2,8,3,4,7] => 1010100 => [1,1,1,1,1,2] => 1023
[6,7,5,3,8,4,1,2] => 0110110 => [1,2,1,2,1] => 603
[1,6,5,4,2,3,8,7] => 0111001 => [1,3,2,1] => 259
[7,1,5,3,4,2,8,6] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,6,1,5,3,2,8,4] => 1101101 => [2,1,2,1,1] => 594
[7,5,6,4,1,2,8,3] => 1011001 => [1,1,2,2,1] => 611
[6,7,5,4,3,1,8,2] => 0111101 => [1,4,1,1] => 145
[7,5,2,4,3,1,6,8] => 1101100 => [2,1,2,2] => 363
[7,4,6,1,2,5,3,8] => 1010010 => [1,1,1,2,1,1] => 1006
[7,1,4,2,5,3,6,8] => 1010100 => [1,1,1,1,1,2] => 1023
[6,8,1,4,2,5,7,3] => 0101001 => [1,1,1,1,2,1] => 1023
[1,6,4,2,5,7,3,8] => 0110010 => [1,2,2,1,1] => 594
[1,6,3,7,5,4,2,8] => 0101110 => [1,1,1,3,1] => 450
[6,8,1,3,7,5,4,2] => 0100111 => [1,1,2,3] => 265
[7,1,3,5,6,4,2,8] => 1000110 => [1,3,2,1] => 259
[7,3,1,6,4,5,2,8] => 1101010 => [2,1,1,1,1,1] => 969
[7,4,2,6,5,1,3,8] => 1101100 => [2,1,2,2] => 363
[7,4,6,3,1,5,2,8] => 1011010 => [1,1,2,1,1,1] => 984
[7,2,4,1,5,3,6,8] => 1010100 => [1,1,1,1,1,2] => 1023
[7,2,3,5,4,1,6,8] => 1001100 => [1,2,2,2] => 363
[6,8,1,2,3,4,7,5] => 0100001 => [1,1,4,1] => 148
[1,5,7,2,3,8,6,4] => 0010011 => [2,1,2,2] => 363
[5,1,8,2,3,6,7,4] => 1010001 => [1,1,1,3,1] => 450
[5,8,2,3,7,6,4,1] => 0100111 => [1,1,2,3] => 265
[6,2,8,1,3,7,4,5] => 1010010 => [1,1,1,2,1,1] => 1006
[6,8,2,3,5,4,7,1] => 0100101 => [1,1,2,1,1,1] => 984
[6,8,2,4,1,5,7,3] => 0101001 => [1,1,1,1,2,1] => 1023
[6,8,3,1,2,4,7,5] => 0110001 => [1,2,3,1] => 262
[2,6,4,1,5,7,3,8] => 0110010 => [1,2,2,1,1] => 594
[2,6,3,5,7,1,4,8] => 0100100 => [1,1,2,1,2] => 611
[2,5,1,7,8,3,6,4] => 0100101 => [1,1,2,1,1,1] => 984
[2,5,3,6,8,4,7,1] => 0100101 => [1,1,2,1,1,1] => 984
[2,1,4,7,8,5,6,3] => 1000101 => [1,3,1,1,1] => 427
[2,4,7,6,8,5,1,3] => 0010110 => [2,1,1,2,1] => 603
[2,5,3,7,6,1,8,4] => 0101101 => [1,1,1,2,1,1] => 1006
[2,5,7,8,1,4,6,3] => 0001001 => [3,1,2,1] => 259
[3,5,7,4,1,6,2,8] => 0011010 => [2,2,1,1,1] => 582
[5,3,4,1,8,6,7,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,2,8,4,6,1,7,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,2,1,8,6,3,7,4] => 1101101 => [2,1,2,1,1] => 594
[4,2,8,6,5,3,7,1] => 1011101 => [1,1,3,1,1] => 439
[4,2,8,5,7,6,3,1] => 1010111 => [1,1,1,1,3] => 450
[1,4,2,7,5,8,6,3] => 0101011 => [1,1,1,1,1,2] => 1023
[4,1,8,6,7,5,3,2] => 1010111 => [1,1,1,1,3] => 450
[5,3,8,7,6,2,4,1] => 1011101 => [1,1,3,1,1] => 439
[5,8,4,7,6,2,1,3] => 0101110 => [1,1,1,3,1] => 450
[5,8,7,4,3,6,1,2] => 0111010 => [1,3,1,1,1] => 427
[6,4,8,3,1,7,2,5] => 1011010 => [1,1,2,1,1,1] => 984
[6,4,2,8,7,1,3,5] => 1101100 => [2,1,2,2] => 363
[6,3,8,7,2,5,1,4] => 1011010 => [1,1,2,1,1,1] => 984
[5,8,3,7,1,6,4,2] => 0101011 => [1,1,1,1,1,2] => 1023
[5,1,3,8,6,7,2,4] => 1001010 => [1,2,1,1,1,1] => 969
[1,5,3,7,8,6,2,4] => 0100110 => [1,1,2,2,1] => 611
[1,5,7,6,4,2,8,3] => 0011101 => [2,3,1,1] => 256
[5,8,7,4,1,6,2,3] => 0111010 => [1,3,1,1,1] => 427
[6,4,8,1,2,7,3,5] => 1010010 => [1,1,1,2,1,1] => 1006
[6,8,5,1,2,3,7,4] => 0110001 => [1,2,3,1] => 262
[6,8,5,2,4,3,7,1] => 0110101 => [1,2,1,1,1,1] => 969
[6,8,5,3,1,2,7,4] => 0111001 => [1,3,2,1] => 259
[4,5,1,2,7,6,3,8] => 0100110 => [1,1,2,2,1] => 611
[4,5,1,2,6,8,7,3] => 0100011 => [1,1,3,2] => 265
[3,5,6,1,8,4,7,2] => 0010101 => [2,1,1,1,1,1] => 969
[3,5,7,1,2,8,6,4] => 0010011 => [2,1,2,2] => 363
[3,6,2,7,5,1,4,8] => 0101100 => [1,1,1,2,2] => 622
[4,2,6,1,7,3,5,8] => 1010100 => [1,1,1,1,1,2] => 1023
[4,6,3,1,2,7,5,8] => 0110010 => [1,2,2,1,1] => 594
[4,5,3,1,7,6,2,8] => 0110110 => [1,2,1,2,1] => 603
[4,2,5,7,1,6,3,8] => 1001010 => [1,2,1,1,1,1] => 969
[3,5,2,7,8,1,6,4] => 0100101 => [1,1,2,1,1,1] => 984
[3,1,4,7,5,6,2,8] => 1001010 => [1,2,1,1,1,1] => 969
[3,4,6,5,8,7,1,2] => 0010110 => [2,1,1,2,1] => 603
[3,1,4,5,8,6,7,2] => 1000101 => [1,3,1,1,1] => 427
[3,4,6,8,5,2,7,1] => 0001101 => [3,2,1,1] => 256
[3,5,6,2,8,4,7,1] => 0010101 => [2,1,1,1,1,1] => 969
[4,2,5,6,1,8,7,3] => 1001011 => [1,2,1,1,2] => 603
[4,5,3,1,6,8,7,2] => 0110011 => [1,2,2,2] => 363
[2,1,7,5,8,6,4,3] => 1010111 => [1,1,1,1,3] => 450
[1,2,7,5,3,8,6,4] => 0011011 => [2,2,1,2] => 357
[4,1,2,7,3,8,6,5] => 1001011 => [1,2,1,1,2] => 603
[6,4,1,7,5,2,3,8] => 1101100 => [2,1,2,2] => 363
[6,1,3,7,5,2,4,8] => 1001100 => [1,2,2,2] => 363
[3,1,2,6,8,5,4,7] => 1000110 => [1,3,2,1] => 259
[3,7,1,2,5,4,8,6] => 0100101 => [1,1,2,1,1,1] => 984
[1,3,7,2,4,8,6,5] => 0010011 => [2,1,2,2] => 363
[2,4,1,7,8,6,5,3] => 0100111 => [1,1,2,3] => 265
[3,4,7,5,1,8,6,2] => 0011011 => [2,2,1,2] => 357
[2,7,4,1,5,8,6,3] => 0110011 => [1,2,2,2] => 363
[2,3,7,1,5,8,6,4] => 0010011 => [2,1,2,2] => 363
[5,2,8,1,3,7,4,6] => 1010010 => [1,1,1,2,1,1] => 1006
[2,1,6,8,3,4,7,5] => 1001001 => [1,2,1,2,1] => 603
[2,6,8,3,1,5,7,4] => 0011001 => [2,2,2,1] => 357
[2,8,6,4,1,5,7,3] => 0111001 => [1,3,2,1] => 259
[3,6,4,8,5,1,7,2] => 0101101 => [1,1,1,2,1,1] => 1006
[6,3,7,4,5,1,8,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[2,6,3,7,5,8,1,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,2,1,7,8,3,4,6] => 1100100 => [2,2,1,2] => 357
[4,7,2,3,6,8,1,5] => 0100010 => [1,1,3,1,1] => 439
[5,2,7,3,6,8,1,4] => 1010010 => [1,1,1,2,1,1] => 1006
[5,7,4,6,2,8,1,3] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,7,3,4,6,1,8,2] => 0100101 => [1,1,2,1,1,1] => 984
[5,3,8,4,6,1,7,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,5,2,4,1,6,7,3] => 1101001 => [2,1,1,2,1] => 603
[8,2,3,5,1,6,7,4] => 1001001 => [1,2,1,2,1] => 603
[4,2,8,3,6,7,1,5] => 1010010 => [1,1,1,2,1,1] => 1006
[2,4,8,1,7,3,5,6] => 0010100 => [2,1,1,1,2] => 603
[8,4,1,3,6,2,5,7] => 1100100 => [2,2,1,2] => 357
[4,8,3,1,7,2,5,6] => 0110100 => [1,2,1,1,2] => 603
[5,2,8,4,7,1,6,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,8,4,7,3,1,6,2] => 0101101 => [1,1,1,2,1,1] => 1006
[4,6,8,3,1,7,5,2] => 0011011 => [2,2,1,2] => 357
[6,3,8,2,7,1,5,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,3,1,8,2,4,7,5] => 1101001 => [2,1,1,2,1] => 603
[5,3,8,1,2,6,4,7] => 1010010 => [1,1,1,2,1,1] => 1006
[5,7,4,1,6,2,3,8] => 0110100 => [1,2,1,1,2] => 603
[8,5,4,1,2,6,3,7] => 1110010 => [3,2,1,1] => 256
[5,1,8,4,2,7,3,6] => 1011010 => [1,1,2,1,1,1] => 984
[1,6,2,8,5,3,7,4] => 0101101 => [1,1,1,2,1,1] => 1006
[6,8,5,3,1,7,4,2] => 0111011 => [1,3,1,2] => 259
[8,4,5,1,2,6,3,7] => 1010010 => [1,1,1,2,1,1] => 1006
[5,6,3,7,1,2,4,8] => 0101000 => [1,1,1,1,3] => 450
[1,6,3,7,2,8,4,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[6,3,2,7,8,5,1,4] => 1100110 => [2,2,2,1] => 357
[4,5,7,8,3,1,6,2] => 0001101 => [3,2,1,1] => 256
[4,7,2,5,8,1,6,3] => 0100101 => [1,1,2,1,1,1] => 984
[8,1,3,4,6,2,5,7] => 1000100 => [1,3,1,2] => 259
[3,8,2,4,6,7,1,5] => 0100010 => [1,1,3,1,1] => 439
[3,5,6,8,2,7,1,4] => 0001010 => [3,1,1,1,1] => 427
[2,4,5,6,8,1,7,3] => 0000101 => [4,1,1,1] => 145
[4,8,3,5,6,1,7,2] => 0100101 => [1,1,2,1,1,1] => 984
[5,6,2,3,7,8,1,4] => 0100010 => [1,1,3,1,1] => 439
[5,8,7,3,4,1,2,6] => 0110100 => [1,2,1,1,2] => 603
[6,8,7,3,4,1,2,5] => 0110100 => [1,2,1,1,2] => 603
[6,8,4,7,1,5,3,2] => 0101011 => [1,1,1,1,1,2] => 1023
[6,8,4,7,2,5,3,1] => 0101011 => [1,1,1,1,1,2] => 1023
[5,4,8,7,2,6,3,1] => 1011011 => [1,1,2,1,2] => 611
[5,4,8,7,1,6,3,2] => 1011011 => [1,1,2,1,2] => 611
[5,3,8,7,6,1,2,4] => 1011100 => [1,1,3,2] => 265
[4,3,8,7,6,1,2,5] => 1011100 => [1,1,3,2] => 265
[4,8,3,7,5,1,2,6] => 0101100 => [1,1,1,2,2] => 622
[8,3,4,6,5,1,2,7] => 1001100 => [1,2,2,2] => 363
[3,8,4,7,5,1,2,6] => 0101100 => [1,1,1,2,2] => 622
[3,4,8,7,6,1,2,5] => 0011100 => [2,3,2] => 153
[3,5,8,7,6,1,2,4] => 0011100 => [2,3,2] => 153
[4,5,8,7,6,1,2,3] => 0011100 => [2,3,2] => 153
[4,5,8,7,1,6,3,2] => 0011011 => [2,2,1,2] => 357
[4,5,8,7,2,6,3,1] => 0011011 => [2,2,1,2] => 357
[3,5,8,2,7,6,4,1] => 0010111 => [2,1,1,3] => 262
[3,5,8,1,7,6,4,2] => 0010111 => [2,1,1,3] => 262
[2,5,8,1,7,6,4,3] => 0010111 => [2,1,1,3] => 262
[2,5,8,7,1,6,3,4] => 0011010 => [2,2,1,1,1] => 582
[2,4,8,7,1,6,3,5] => 0011010 => [2,2,1,1,1] => 582
[2,8,4,7,1,5,3,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[8,2,4,6,1,5,3,7] => 1001010 => [1,2,1,1,1,1] => 969
[8,1,4,6,2,5,3,7] => 1001010 => [1,2,1,1,1,1] => 969
[1,8,4,7,2,5,3,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,4,8,7,2,6,3,5] => 0011010 => [2,2,1,1,1] => 582
[1,5,8,7,2,6,3,4] => 0011010 => [2,2,1,1,1] => 582
[1,5,8,2,7,6,4,3] => 0010111 => [2,1,1,3] => 262
[2,5,8,3,7,6,4,1] => 0010111 => [2,1,1,3] => 262
[1,4,2,8,7,6,5,3] => 0101111 => [1,1,1,4] => 148
[1,3,8,2,7,6,4,5] => 0010110 => [2,1,1,2,1] => 603
[1,8,3,2,7,5,4,6] => 0110110 => [1,2,1,2,1] => 603
[8,1,3,2,6,5,4,7] => 1010110 => [1,1,1,1,2,1] => 1023
[8,2,3,1,6,5,4,7] => 1010110 => [1,1,1,1,2,1] => 1023
[2,8,3,1,7,5,4,6] => 0110110 => [1,2,1,2,1] => 603
[2,3,8,1,7,6,4,5] => 0010110 => [2,1,1,2,1] => 603
[3,4,1,8,7,6,5,2] => 0101111 => [1,1,1,4] => 148
[4,3,1,8,7,6,5,2] => 1101111 => [2,1,4] => 85
[4,2,1,8,7,6,5,3] => 1101111 => [2,1,4] => 85
[3,8,2,1,7,5,4,6] => 0110110 => [1,2,1,2,1] => 603
[8,3,2,1,6,5,4,7] => 1110110 => [3,1,2,1] => 259
[8,4,2,6,1,5,3,7] => 1101010 => [2,1,1,1,1,1] => 969
[4,2,8,7,1,6,3,5] => 1011010 => [1,1,2,1,1,1] => 984
[5,2,8,7,1,6,3,4] => 1011010 => [1,1,2,1,1,1] => 984
[5,2,8,1,7,6,4,3] => 1010111 => [1,1,1,1,3] => 450
[5,3,8,1,7,6,4,2] => 1010111 => [1,1,1,1,3] => 450
[5,3,8,2,7,6,4,1] => 1010111 => [1,1,1,1,3] => 450
[6,8,3,2,7,5,4,1] => 0110111 => [1,2,1,3] => 262
[6,8,3,1,7,5,4,2] => 0110111 => [1,2,1,3] => 262
[6,8,2,1,7,5,4,3] => 0110111 => [1,2,1,3] => 262
[6,8,2,7,1,5,3,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[6,8,7,2,1,4,3,5] => 0111010 => [1,3,1,1,1] => 427
[8,5,6,1,2,4,3,7] => 1010010 => [1,1,1,2,1,1] => 1006
[5,8,7,1,2,4,3,6] => 0110010 => [1,2,2,1,1] => 594
[6,8,1,2,7,5,4,3] => 0100111 => [1,1,2,3] => 265
[6,8,2,3,7,5,4,1] => 0100111 => [1,1,2,3] => 265
[5,2,8,3,7,6,4,1] => 1010111 => [1,1,1,1,3] => 450
[5,1,8,3,7,6,4,2] => 1010111 => [1,1,1,1,3] => 450
[5,1,8,7,2,6,3,4] => 1011010 => [1,1,2,1,1,1] => 984
[4,1,8,7,2,6,3,5] => 1011010 => [1,1,2,1,1,1] => 984
[4,8,1,7,2,5,3,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[8,4,1,6,2,5,3,7] => 1101010 => [2,1,1,1,1,1] => 969
[8,3,1,2,6,5,4,7] => 1100110 => [2,2,2,1] => 357
[3,8,1,2,7,5,4,6] => 0100110 => [1,1,2,2,1] => 611
[3,1,8,2,7,6,4,5] => 1010110 => [1,1,1,1,2,1] => 1023
[3,1,2,8,7,6,5,4] => 1001111 => [1,2,4] => 85
[4,1,3,8,7,6,5,2] => 1001111 => [1,2,4] => 85
[3,1,4,8,7,6,5,2] => 1001111 => [1,2,4] => 85
[2,1,8,3,7,6,4,5] => 1010110 => [1,1,1,1,2,1] => 1023
[2,8,1,3,7,5,4,6] => 0100110 => [1,1,2,2,1] => 611
[8,2,1,3,6,5,4,7] => 1100110 => [2,2,2,1] => 357
[8,1,2,3,6,5,4,7] => 1000110 => [1,3,2,1] => 259
[1,8,2,3,7,5,4,6] => 0100110 => [1,1,2,2,1] => 611
[1,2,8,3,7,6,4,5] => 0010110 => [2,1,1,2,1] => 603
[1,4,3,6,8,2,5,7] => 0100100 => [1,1,2,1,2] => 611
[3,1,6,2,5,8,4,7] => 1010010 => [1,1,1,2,1,1] => 1006
[3,5,1,8,2,4,7,6] => 0101001 => [1,1,1,1,2,1] => 1023
[1,4,5,2,8,3,7,6] => 0010101 => [2,1,1,1,1,1] => 969
[1,4,2,6,5,8,3,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,5,4,2,6,8,3,7] => 0110010 => [1,2,2,1,1] => 594
[3,1,6,5,8,2,4,7] => 1010100 => [1,1,1,1,1,2] => 1023
[1,6,4,2,5,8,3,7] => 0110010 => [1,2,2,1,1] => 594
[1,5,2,6,4,8,3,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,2,6,5,4,8,3,7] => 0011010 => [2,2,1,1,1] => 582
[1,2,5,4,7,3,8,6] => 0010101 => [2,1,1,1,1,1] => 969
[4,1,2,6,3,8,7,5] => 1001011 => [1,2,1,1,2] => 603
[7,1,5,4,2,8,3,6] => 1011010 => [1,1,2,1,1,1] => 984
[1,4,7,5,2,8,3,6] => 0011010 => [2,2,1,1,1] => 582
[7,1,3,5,2,8,4,6] => 1001010 => [1,2,1,1,1,1] => 969
[7,2,5,1,8,3,4,6] => 1010100 => [1,1,1,1,1,2] => 1023
[1,4,5,2,8,7,3,6] => 0010110 => [2,1,1,2,1] => 603
[1,6,4,2,8,3,7,5] => 0110101 => [1,2,1,1,1,1] => 969
[1,4,2,8,3,7,6,5] => 0101011 => [1,1,1,1,1,2] => 1023
[1,2,5,3,8,7,6,4] => 0010111 => [2,1,1,3] => 262
[1,2,8,6,5,3,7,4] => 0011101 => [2,3,1,1] => 256
[1,5,2,8,6,3,7,4] => 0101101 => [1,1,1,2,1,1] => 1006
[1,6,4,2,8,7,3,5] => 0110110 => [1,2,1,2,1] => 603
[6,2,1,8,7,3,4,5] => 1101100 => [2,1,2,2] => 363
[7,6,2,1,8,3,4,5] => 1110100 => [3,1,1,2] => 259
[7,3,1,6,2,8,4,5] => 1101010 => [2,1,1,1,1,1] => 969
[1,7,6,4,2,8,3,5] => 0111010 => [1,3,1,1,1] => 427
[1,7,5,2,6,3,8,4] => 0110101 => [1,2,1,1,1,1] => 969
[1,6,2,7,5,3,8,4] => 0101101 => [1,1,1,2,1,1] => 1006
[1,2,7,6,5,3,8,4] => 0011101 => [2,3,1,1] => 256
[1,2,6,5,3,8,7,4] => 0011011 => [2,2,1,2] => 357
[1,5,2,6,3,8,7,4] => 0101011 => [1,1,1,1,1,2] => 1023
[1,5,2,7,6,3,8,4] => 0101101 => [1,1,1,2,1,1] => 1006
[1,6,5,2,7,3,8,4] => 0110101 => [1,2,1,1,1,1] => 969
[1,5,7,4,2,8,3,6] => 0011010 => [2,2,1,1,1] => 582
[4,1,2,8,6,3,7,5] => 1001101 => [1,2,2,1,1] => 594
[3,1,8,6,2,4,7,5] => 1011001 => [1,1,2,2,1] => 611
[4,3,7,1,8,2,5,6] => 1010100 => [1,1,1,1,1,2] => 1023
[8,3,1,6,2,4,7,5] => 1101001 => [2,1,1,2,1] => 603
[7,1,8,3,2,4,6,5] => 1011001 => [1,1,2,2,1] => 611
[1,8,7,3,2,4,6,5] => 0111001 => [1,3,2,1] => 259
[1,4,2,8,7,3,6,5] => 0101101 => [1,1,1,2,1,1] => 1006
[1,7,4,2,8,3,6,5] => 0110101 => [1,2,1,1,1,1] => 969
[8,1,5,4,2,7,3,6] => 1011010 => [1,1,2,1,1,1] => 984
[1,4,8,5,2,7,3,6] => 0011010 => [2,2,1,1,1] => 582
[8,5,3,1,7,2,4,6] => 1110100 => [3,1,1,2] => 259
[8,6,2,1,7,3,4,5] => 1110100 => [3,1,1,2] => 259
[1,8,6,4,2,7,3,5] => 0111010 => [1,3,1,1,1] => 427
[1,8,5,2,6,3,7,4] => 0110101 => [1,2,1,1,1,1] => 969
[1,5,2,7,3,8,6,4] => 0101011 => [1,1,1,1,1,2] => 1023
[1,2,8,5,3,7,6,4] => 0011011 => [2,2,1,2] => 357
[1,2,6,3,8,7,5,4] => 0010111 => [2,1,1,3] => 262
[1,2,7,6,3,8,5,4] => 0011011 => [2,2,1,2] => 357
[1,6,2,7,3,8,5,4] => 0101011 => [1,1,1,1,1,2] => 1023
[1,7,2,8,5,3,6,4] => 0101101 => [1,1,1,2,1,1] => 1006
[1,7,4,2,8,6,3,5] => 0110110 => [1,2,1,2,1] => 603
[7,1,8,3,2,6,4,5] => 1011010 => [1,1,2,1,1,1] => 984
[7,2,1,8,6,3,4,5] => 1101100 => [2,1,2,2] => 363
[1,8,7,3,2,6,4,5] => 0111010 => [1,3,1,1,1] => 427
[1,4,2,8,7,6,3,5] => 0101110 => [1,1,1,3,1] => 450
[1,2,8,7,5,3,6,4] => 0011101 => [2,3,1,1] => 256
[1,2,8,6,3,7,5,4] => 0011011 => [2,2,1,2] => 357
[1,2,7,3,8,6,5,4] => 0010111 => [2,1,1,3] => 262
[4,1,7,3,6,5,8,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,1,8,7,6,2,4,3] => 1011101 => [1,1,3,1,1] => 439
[8,1,7,6,3,4,5,2] => 1011001 => [1,1,2,2,1] => 611
[5,7,8,6,2,4,1,3] => 0011010 => [2,2,1,1,1] => 582
[5,7,1,6,2,4,3,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[6,4,1,5,2,7,3,8] => 1101010 => [2,1,1,1,1,1] => 969
[8,1,4,5,3,7,6,2] => 1001011 => [1,2,1,1,2] => 603
[6,1,4,5,3,8,7,2] => 1001011 => [1,2,1,1,2] => 603
[6,1,4,5,3,7,8,2] => 1001001 => [1,2,1,2,1] => 603
[5,1,7,8,6,2,4,3] => 1001101 => [1,2,2,1,1] => 594
[6,1,4,8,3,5,7,2] => 1001001 => [1,2,1,2,1] => 603
[7,1,8,6,3,4,5,2] => 1011001 => [1,1,2,2,1] => 611
[7,1,4,5,3,8,6,2] => 1001011 => [1,2,1,1,2] => 603
[7,1,4,5,3,6,8,2] => 1001001 => [1,2,1,2,1] => 603
[8,1,4,5,3,6,7,2] => 1001001 => [1,2,1,2,1] => 603
[7,4,1,5,2,6,3,8] => 1101010 => [2,1,1,1,1,1] => 969
[6,3,5,7,2,1,4,8] => 1001100 => [1,2,2,2] => 363
[6,3,5,8,2,1,7,4] => 1001101 => [1,2,2,1,1] => 594
[6,3,5,7,2,1,8,4] => 1001101 => [1,2,2,1,1] => 594
[8,4,5,7,3,6,1,2] => 1001010 => [1,2,1,1,1,1] => 969
[6,4,5,8,3,7,2,1] => 1001011 => [1,2,1,1,2] => 603
[5,8,7,6,2,4,1,3] => 0111010 => [1,3,1,1,1] => 427
[5,4,8,6,3,1,7,2] => 1011101 => [1,1,3,1,1] => 439
[5,4,1,8,2,3,7,6] => 1101001 => [2,1,1,2,1] => 603
[5,8,1,6,2,4,3,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[8,4,1,5,2,6,3,7] => 1101010 => [2,1,1,1,1,1] => 969
[6,3,5,8,2,1,4,7] => 1001100 => [1,2,2,2] => 363
[2,3,4,1,8,6,5,7] => 0010110 => [2,1,1,2,1] => 603
[8,3,5,6,2,1,4,7] => 1001100 => [1,2,2,2] => 363
[2,3,8,5,1,4,7,6] => 0011001 => [2,2,2,1] => 357
[2,3,8,6,1,5,7,4] => 0011001 => [2,2,2,1] => 357
[2,8,6,7,1,3,5,4] => 0101001 => [1,1,1,1,2,1] => 1023
[8,3,5,7,2,1,6,4] => 1001101 => [1,2,2,1,1] => 594
[2,3,8,5,6,1,7,4] => 0010101 => [2,1,1,1,1,1] => 969
[7,4,5,6,3,1,8,2] => 1001101 => [1,2,2,1,1] => 594
[8,4,5,6,3,1,7,2] => 1001101 => [1,2,2,1,1] => 594
[7,3,5,6,2,8,1,4] => 1001010 => [1,2,1,1,1,1] => 969
[7,3,5,8,2,1,6,4] => 1001101 => [1,2,2,1,1] => 594
[7,3,5,6,2,1,4,8] => 1001100 => [1,2,2,2] => 363
[2,7,6,5,1,3,4,8] => 0111000 => [1,3,3] => 110
[2,7,6,8,1,3,5,4] => 0101001 => [1,1,1,1,2,1] => 1023
[2,7,6,5,8,3,1,4] => 0110110 => [1,2,1,2,1] => 603
[8,7,5,6,1,4,2,3] => 1101010 => [2,1,1,1,1,1] => 969
[2,6,4,1,8,5,7,3] => 0110101 => [1,2,1,1,1,1] => 969
[2,6,1,3,8,5,7,4] => 0100101 => [1,1,2,1,1,1] => 984
[2,7,1,3,6,5,8,4] => 0100101 => [1,1,2,1,1,1] => 984
[2,7,6,8,4,3,1,5] => 0101110 => [1,1,1,3,1] => 450
[2,7,6,1,8,3,4,5] => 0110100 => [1,2,1,1,2] => 603
[2,7,6,1,4,3,5,8] => 0110100 => [1,2,1,1,2] => 603
[7,3,5,1,2,8,4,6] => 1010010 => [1,1,1,2,1,1] => 1006
[8,4,1,5,2,3,7,6] => 1101001 => [2,1,1,2,1] => 603
[7,8,1,6,3,4,2,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[6,4,1,8,3,2,7,5] => 1101101 => [2,1,2,1,1] => 594
[2,3,8,6,4,1,7,5] => 0011101 => [2,3,1,1] => 256
[2,8,6,7,4,3,1,5] => 0101110 => [1,1,1,3,1] => 450
[8,3,5,7,2,4,1,6] => 1001010 => [1,2,1,1,1,1] => 969
[2,3,4,1,8,7,5,6] => 0010110 => [2,1,1,2,1] => 603
[2,8,6,1,7,3,4,5] => 0110100 => [1,2,1,1,2] => 603
[2,3,8,1,6,4,7,5] => 0010101 => [2,1,1,1,1,1] => 969
[2,3,8,1,4,5,7,6] => 0010001 => [2,1,3,1] => 262
[2,8,6,1,4,3,5,7] => 0110100 => [1,2,1,1,2] => 603
[1,2,3,4,5,6,7,9,8] => 00000001 => [7,1] => 8
[2,1,3,4,5,6,7,8,9] => 10000000 => [1,7] => 8
[1,8,2,3,4,5,6,9,7] => 01000001 => [1,1,5,1] => 244
[7,1,2,3,4,5,6,9,8] => 10000001 => [1,6,1] => 50
[2,1,9,3,4,5,6,7,8] => 10100000 => [1,1,1,5] => 244
[2,8,1,3,4,5,6,7,9] => 01000000 => [1,1,6] => 50
[8,4,3,6,5,1,7,2] => 1101101 => [2,1,2,1,1] => 594
[8,5,6,3,4,1,7,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,6,5,4,3,1,7,2] => 1111101 => [5,1,1] => 37
[1,7,6,5,4,2,3,8] => 0111100 => [1,4,2] => 85
[1,8,6,5,2,7,3,4] => 0111010 => [1,3,1,1,1] => 427
[8,7,5,4,1,6,3,2] => 1111011 => [4,1,2] => 85
[7,8,5,4,1,3,6,2] => 0111001 => [1,3,2,1] => 259
[6,8,5,4,2,1,7,3] => 0111101 => [1,4,1,1] => 145
[5,8,6,2,4,1,7,3] => 0110101 => [1,2,1,1,1,1] => 969
[4,8,2,6,5,1,7,3] => 0101101 => [1,1,1,2,1,1] => 1006
[3,2,8,6,5,1,7,4] => 1011101 => [1,1,3,1,1] => 439
[3,2,1,7,6,4,5,8] => 1101100 => [2,1,2,2] => 363
[4,1,3,7,6,2,5,8] => 1001100 => [1,2,2,2] => 363
[5,1,7,3,6,2,4,8] => 1010100 => [1,1,1,1,1,2] => 1023
[6,1,7,5,3,2,4,8] => 1011100 => [1,1,3,2] => 265
[7,1,6,5,2,4,3,8] => 1011010 => [1,1,2,1,1,1] => 984
[8,1,6,5,2,3,7,4] => 1011001 => [1,1,2,2,1] => 611
[1,2,7,6,3,4,5,8] => 0011000 => [2,2,3] => 153
[1,2,8,3,7,4,5,6] => 0010100 => [2,1,1,1,2] => 603
[8,1,7,2,6,3,5,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,1,8,2,6,4,3,5] => 1010110 => [1,1,1,1,2,1] => 1023
[6,1,8,2,4,7,3,5] => 1010010 => [1,1,1,2,1,1] => 1006
[5,1,8,3,2,7,4,6] => 1011010 => [1,1,2,1,1,1] => 984
[4,1,3,8,2,7,5,6] => 1001010 => [1,2,1,1,1,1] => 969
[3,2,1,8,4,7,5,6] => 1101010 => [2,1,1,1,1,1] => 969
[3,2,8,7,1,6,5,4] => 1011011 => [1,1,2,1,2] => 611
[4,8,2,7,1,6,5,3] => 0101011 => [1,1,1,1,1,2] => 1023
[5,8,7,2,1,6,4,3] => 0111011 => [1,3,1,2] => 259
[6,8,7,1,3,5,4,2] => 0110011 => [1,2,2,2] => 363
[7,8,6,1,5,3,4,2] => 0110101 => [1,2,1,1,1,1] => 969
[8,7,6,1,5,4,3,2] => 1110111 => [3,1,3] => 110
[1,8,7,2,6,5,3,4] => 0110110 => [1,2,1,2,1] => 603
[1,7,8,2,5,6,3,4] => 0010010 => [2,1,2,1,1] => 594
[8,6,7,1,4,5,3,2] => 1010011 => [1,1,1,2,2] => 622
[7,6,8,1,4,3,5,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,5,8,3,2,1,7,4] => 1011101 => [1,1,3,1,1] => 439
[7,5,8,3,1,4,6,2] => 1011001 => [1,1,2,2,1] => 611
[8,5,7,3,1,6,4,2] => 1011011 => [1,1,2,1,2] => 611
[1,6,8,4,2,7,3,5] => 0011010 => [2,2,1,1,1] => 582
[1,5,4,8,2,7,3,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[8,4,3,7,1,6,5,2] => 1101011 => [2,1,1,1,2] => 603
[7,4,3,8,1,5,6,2] => 1101001 => [2,1,1,2,1] => 603
[6,4,3,1,5,2,7,8] => 1110100 => [3,1,1,2] => 259
[7,4,3,1,2,6,5,8] => 1110010 => [3,2,1,1] => 256
[8,4,3,1,2,5,7,6] => 1110001 => [3,3,1] => 110
[1,5,4,2,3,6,7,8] => 0110000 => [1,2,4] => 85
[8,5,1,4,2,3,7,6] => 1101001 => [2,1,1,2,1] => 603
[7,5,1,4,2,6,3,8] => 1101010 => [2,1,1,1,1,1] => 969
[6,5,1,4,3,2,7,8] => 1101100 => [2,1,2,2] => 363
[5,6,1,3,4,2,7,8] => 0100100 => [1,1,2,1,2] => 611
[4,6,2,1,5,3,7,8] => 0110100 => [1,2,1,1,2] => 603
[3,2,6,1,5,4,7,8] => 1010100 => [1,1,1,1,1,2] => 1023
[3,2,7,1,4,6,5,8] => 1010010 => [1,1,1,2,1,1] => 1006
[4,7,2,1,3,6,5,8] => 0110010 => [1,2,2,1,1] => 594
[5,7,1,3,2,6,4,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[6,7,1,2,4,5,3,8] => 0100010 => [1,1,3,1,1] => 439
[7,6,1,2,5,4,3,8] => 1100110 => [2,2,2,1] => 357
[8,6,1,2,5,3,7,4] => 1100101 => [2,2,1,1,1] => 582
[1,7,2,3,6,4,5,8] => 0100100 => [1,1,2,1,2] => 611
[8,7,1,2,3,6,5,4] => 1100011 => [2,3,2] => 153
[7,8,1,2,3,5,6,4] => 0100001 => [1,1,4,1] => 148
[6,8,1,2,4,3,7,5] => 0100101 => [1,1,2,1,1,1] => 984
[5,8,1,3,2,4,7,6] => 0101001 => [1,1,1,1,2,1] => 1023
[4,8,2,1,3,5,7,6] => 0110001 => [1,2,3,1] => 262
[3,2,8,1,4,5,7,6] => 1010001 => [1,1,1,3,1] => 450
[4,1,3,2,5,6,7,8] => 1010000 => [1,1,1,4] => 148
[5,1,2,4,3,6,7,8] => 1001000 => [1,2,1,3] => 262
[6,1,2,3,5,4,7,8] => 1000100 => [1,3,1,2] => 259
[7,1,2,3,4,6,5,8] => 1000010 => [1,4,1,1] => 145
[8,1,2,3,4,5,7,6] => 1000001 => [1,5,1] => 37
[6,7,3,8,5,1,2,4] => 0101100 => [1,1,1,2,2] => 622
[6,7,4,5,1,8,3,2] => 0101011 => [1,1,1,1,1,2] => 1023
[5,4,7,6,8,1,2,3] => 1010100 => [1,1,1,1,1,2] => 1023
[5,3,7,8,6,1,2,4] => 1001100 => [1,2,2,2] => 363
[3,8,4,5,7,1,2,6] => 0100100 => [1,1,2,1,2] => 611
[3,4,8,6,7,1,2,5] => 0010100 => [2,1,1,1,2] => 603
[4,5,6,7,1,8,3,2] => 0001011 => [3,1,1,2] => 259
[3,5,6,2,7,4,8,1] => 0010101 => [2,1,1,1,1,1] => 969
[3,5,6,1,7,8,4,2] => 0010011 => [2,1,2,2] => 363
[2,5,6,1,8,7,4,3] => 0010111 => [2,1,1,3] => 262
[2,5,6,8,1,7,3,4] => 0001010 => [3,1,1,1,1] => 427
[8,2,4,5,1,6,3,7] => 1001010 => [1,2,1,1,1,1] => 969
[1,4,8,6,2,3,7,5] => 0011001 => [2,2,2,1] => 357
[1,5,6,8,2,3,7,4] => 0001001 => [3,1,2,1] => 259
[1,5,6,2,8,4,7,3] => 0010101 => [2,1,1,1,1,1] => 969
[2,5,6,3,4,7,8,1] => 0010001 => [2,1,3,1] => 262
[1,4,2,6,8,5,7,3] => 0100101 => [1,1,2,1,1,1] => 984
[8,1,3,2,5,4,6,7] => 1010100 => [1,1,1,1,1,2] => 1023
[8,2,3,1,5,6,4,7] => 1010010 => [1,1,1,2,1,1] => 1006
[2,8,3,1,5,7,4,6] => 0110010 => [1,2,2,1,1] => 594
[2,4,1,6,8,7,5,3] => 0100111 => [1,1,2,3] => 265
[3,4,1,6,7,8,5,2] => 0100011 => [1,1,3,2] => 265
[4,3,1,7,6,8,5,2] => 1101011 => [2,1,1,1,2] => 603
[5,2,7,8,1,6,3,4] => 1001010 => [1,2,1,1,1,1] => 969
[5,3,7,2,6,4,8,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,7,3,1,5,8,4,2] => 0110011 => [1,2,2,2] => 363
[6,7,2,1,8,5,4,3] => 0110111 => [1,2,1,3] => 262
[6,7,2,8,1,5,3,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[6,7,8,2,1,4,3,5] => 0011010 => [2,2,1,1,1] => 582
[6,7,1,2,8,4,5,3] => 0100101 => [1,1,2,1,1,1] => 984
[6,7,1,3,4,8,5,2] => 0100011 => [1,1,3,2] => 265
[5,2,7,3,4,6,8,1] => 1010001 => [1,1,1,3,1] => 450
[5,1,7,3,4,8,6,2] => 1010011 => [1,1,1,2,2] => 622
[5,1,7,8,2,3,6,4] => 1001001 => [1,2,1,2,1] => 603
[4,1,8,7,2,3,6,5] => 1011001 => [1,1,2,2,1] => 611
[3,8,1,2,7,4,5,6] => 0100100 => [1,1,2,1,2] => 611
[4,1,3,7,5,8,6,2] => 1001011 => [1,2,1,1,2] => 603
[3,1,4,5,7,8,6,2] => 1000011 => [1,4,2] => 85
[2,1,8,3,4,7,6,5] => 1010011 => [1,1,1,2,2] => 622
[8,2,1,3,4,6,5,7] => 1100010 => [2,3,1,1] => 256
[1,8,2,3,4,5,7,6] => 0100001 => [1,1,4,1] => 148
[1,2,8,3,4,6,7,5] => 0010001 => [2,1,3,1] => 262
[4,2,1,6,5,8,7,3] => 1101011 => [2,1,1,1,2] => 603
[5,2,6,1,4,8,7,3] => 1010011 => [1,1,1,2,2] => 622
[5,2,6,4,1,8,7,3] => 1011011 => [1,1,2,1,2] => 611
[5,2,7,4,8,1,6,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,2,7,4,8,6,1,3] => 1010110 => [1,1,1,1,2,1] => 1023
[5,7,2,3,8,6,1,4] => 0100110 => [1,1,2,2,1] => 611
[5,7,2,3,8,1,6,4] => 0100101 => [1,1,2,1,1,1] => 984
[5,6,2,3,1,8,7,4] => 0101011 => [1,1,1,1,1,2] => 1023
[5,6,2,1,3,8,7,4] => 0110011 => [1,2,2,2] => 363
[5,1,6,4,2,8,7,3] => 1011011 => [1,1,2,1,2] => 611
[5,6,1,3,2,8,7,4] => 0101011 => [1,1,1,1,1,2] => 1023
[5,6,3,1,2,8,7,4] => 0110011 => [1,2,2,2] => 363
[5,6,3,2,1,8,7,4] => 0111011 => [1,3,1,2] => 259
[5,7,3,2,8,1,6,4] => 0110101 => [1,2,1,1,1,1] => 969
[5,7,3,2,8,6,1,4] => 0110110 => [1,2,1,2,1] => 603
[6,7,3,8,2,1,5,4] => 0101101 => [1,1,1,2,1,1] => 1006
[6,7,3,8,1,2,5,4] => 0101001 => [1,1,1,1,2,1] => 1023
[5,7,3,1,8,2,6,4] => 0110101 => [1,2,1,1,1,1] => 969
[5,7,1,3,8,2,6,4] => 0100101 => [1,1,2,1,1,1] => 984
[5,1,7,4,8,2,6,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[1,5,7,4,8,3,6,2] => 0010101 => [2,1,1,1,1,1] => 969
[1,5,7,4,8,6,3,2] => 0010111 => [2,1,1,3] => 262
[5,1,7,4,8,6,2,3] => 1010110 => [1,1,1,1,2,1] => 1023
[5,7,1,3,8,6,2,4] => 0100110 => [1,1,2,2,1] => 611
[5,7,3,1,8,6,2,4] => 0110110 => [1,2,1,2,1] => 603
[6,7,3,8,1,5,2,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[6,7,3,8,5,2,1,4] => 0101110 => [1,1,1,3,1] => 450
[6,7,8,3,1,4,2,5] => 0011010 => [2,2,1,1,1] => 582
[6,7,1,8,3,5,2,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[6,1,7,8,4,5,2,3] => 1001010 => [1,2,1,1,1,1] => 969
[1,6,7,8,4,5,3,2] => 0001011 => [3,1,1,2] => 259
[1,6,7,8,4,3,5,2] => 0001101 => [3,2,1,1] => 256
[6,1,7,8,4,2,5,3] => 1001101 => [1,2,2,1,1] => 594
[6,7,1,8,3,2,5,4] => 0101101 => [1,1,1,2,1,1] => 1006
[5,7,2,1,8,3,6,4] => 0110101 => [1,2,1,1,1,1] => 969
[6,7,2,8,1,3,5,4] => 0101001 => [1,1,1,1,2,1] => 1023
[6,7,2,8,3,1,5,4] => 0101101 => [1,1,1,2,1,1] => 1006
[6,7,2,8,3,5,1,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[6,2,7,8,4,5,1,3] => 1001010 => [1,2,1,1,1,1] => 969
[6,2,7,8,4,1,5,3] => 1001101 => [1,2,2,1,1] => 594
[6,2,7,8,1,4,5,3] => 1001001 => [1,2,1,2,1] => 603
[5,2,7,1,8,4,6,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,2,1,7,8,5,6,3] => 1100101 => [2,2,1,1,1] => 582
[4,1,2,7,8,6,5,3] => 1000111 => [1,3,3] => 110
[6,2,7,8,1,5,4,3] => 1001011 => [1,2,1,1,2] => 603
[6,2,7,8,5,1,4,3] => 1001101 => [1,2,2,1,1] => 594
[6,2,7,8,5,4,1,3] => 1001110 => [1,2,3,1] => 262
[6,7,2,8,5,3,1,4] => 0101110 => [1,1,1,3,1] => 450
[5,7,2,1,8,6,3,4] => 0110110 => [1,2,1,2,1] => 603
[5,7,1,2,8,6,3,4] => 0100110 => [1,1,2,2,1] => 611
[5,1,7,2,8,6,4,3] => 1010111 => [1,1,1,1,3] => 450
[1,5,7,3,8,6,4,2] => 0010111 => [2,1,1,3] => 262
[1,6,7,8,3,5,4,2] => 0001011 => [3,1,1,2] => 259
[6,1,7,8,2,5,4,3] => 1001011 => [1,2,1,1,2] => 603
[6,7,1,8,2,5,3,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[6,7,8,2,4,1,3,5] => 0010100 => [2,1,1,1,2] => 603
[6,7,8,2,4,3,1,5] => 0010110 => [2,1,1,2,1] => 603
[6,7,1,8,5,2,3,4] => 0101100 => [1,1,1,2,2] => 622
[6,1,7,8,5,2,4,3] => 1001101 => [1,2,2,1,1] => 594
[1,6,7,8,5,3,4,2] => 0001101 => [3,2,1,1] => 256
[6,1,7,8,5,4,2,3] => 1001110 => [1,2,3,1] => 262
[6,7,1,8,5,3,2,4] => 0101110 => [1,1,1,3,1] => 450
[6,7,8,4,1,3,2,5] => 0011010 => [2,2,1,1,1] => 582
[6,3,8,5,2,7,4,1] => 1011011 => [1,1,2,1,2] => 611
[6,5,2,8,4,7,3,1] => 1101011 => [2,1,1,1,2] => 603
[6,3,4,5,8,7,2,1] => 1000111 => [1,3,3] => 110
[3,8,4,7,5,2,1,6] => 0101110 => [1,1,1,3,1] => 450
[5,8,1,4,7,2,3,6] => 0100100 => [1,1,2,1,2] => 611
[5,6,1,4,8,7,3,2] => 0100111 => [1,1,2,3] => 265
[3,6,4,8,5,7,1,2] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,1,4,8,6,3,7,2] => 1001101 => [1,2,2,1,1] => 594
[3,4,7,1,8,6,5,2] => 0010111 => [2,1,1,3] => 262
[6,3,8,4,2,7,1,5] => 1011010 => [1,1,2,1,1,1] => 984
[3,6,8,7,1,4,2,5] => 0011010 => [2,2,1,1,1] => 582
[5,3,7,1,6,8,2,4] => 1010010 => [1,1,1,2,1,1] => 1006
[4,3,8,5,6,7,2,1] => 1010011 => [1,1,1,2,2] => 622
[5,8,1,7,6,2,4,3] => 0101101 => [1,1,1,2,1,1] => 1006
[4,6,1,2,7,8,5,3] => 0100011 => [1,1,3,2] => 265
[3,6,4,2,8,7,5,1] => 0110111 => [1,2,1,3] => 262
[6,3,7,5,2,8,1,4] => 1011010 => [1,1,2,1,1,1] => 984
[6,5,2,7,4,8,1,3] => 1101010 => [2,1,1,1,1,1] => 969
[5,7,1,4,8,3,2,6] => 0100110 => [1,1,2,2,1] => 611
[7,8,3,5,1,4,6,2] => 0101001 => [1,1,1,1,2,1] => 1023
[5,8,1,4,6,7,2,3] => 0100010 => [1,1,3,1,1] => 439
[6,5,8,4,3,7,2,1] => 1011011 => [1,1,2,1,2] => 611
[6,3,7,4,2,8,5,1] => 1011011 => [1,1,2,1,2] => 611
[8,7,1,6,2,4,5,3] => 1101001 => [2,1,1,2,1] => 603
[3,8,6,7,1,4,5,2] => 0101001 => [1,1,1,1,2,1] => 1023
[5,3,8,7,4,1,2,6] => 1011100 => [1,1,3,2] => 265
[4,3,8,7,1,5,6,2] => 1011001 => [1,1,2,2,1] => 611
[8,3,6,1,2,5,7,4] => 1010001 => [1,1,1,3,1] => 450
[5,6,1,8,7,3,2,4] => 0101110 => [1,1,1,3,1] => 450
[5,4,2,7,3,6,8,1] => 1101001 => [2,1,1,2,1] => 603
[7,5,3,6,4,2,8,1] => 1101101 => [2,1,2,1,1] => 594
[6,4,1,5,3,8,2,7] => 1101010 => [2,1,1,1,1,1] => 969
[8,2,6,3,4,7,5,1] => 1010011 => [1,1,1,2,2] => 622
[7,2,6,3,5,4,8,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,2,7,4,3,5,8,1] => 1011001 => [1,1,2,2,1] => 611
[3,7,6,4,5,2,8,1] => 0110101 => [1,2,1,1,1,1] => 969
[2,7,6,5,3,4,8,1] => 0111001 => [1,3,2,1] => 259
[6,5,4,3,1,8,2,7] => 1111010 => [4,1,1,1] => 145
[8,6,5,4,2,7,3,1] => 1111011 => [4,1,2] => 85
[8,5,4,1,7,2,6,3] => 1110101 => [3,1,1,1,1] => 427
[7,5,4,1,8,3,2,6] => 1110110 => [3,1,2,1] => 259
[1,6,5,2,8,3,4,7] => 0110100 => [1,2,1,1,2] => 603
[1,6,5,3,4,8,2,7] => 0110010 => [1,2,2,1,1] => 594
[5,4,6,3,1,8,2,7] => 1011010 => [1,1,2,1,1,1] => 984
[6,5,8,4,2,7,3,1] => 1011011 => [1,1,2,1,2] => 611
[5,8,2,6,4,7,3,1] => 0101011 => [1,1,1,1,1,2] => 1023
[7,8,5,3,2,6,4,1] => 0111011 => [1,3,1,2] => 259
[6,8,3,1,7,2,5,4] => 0110101 => [1,2,1,1,1,1] => 969
[1,8,6,3,7,5,2,4] => 0110110 => [1,2,1,2,1] => 603
[8,7,5,2,6,4,3,1] => 1110111 => [3,1,3] => 110
[8,7,1,6,2,5,4,3] => 1101011 => [2,1,1,1,2] => 603
[2,8,1,7,3,5,6,4] => 0101001 => [1,1,1,1,2,1] => 1023
[4,8,1,3,7,2,6,5] => 0100101 => [1,1,2,1,1,1] => 984
[4,2,8,5,7,3,6,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,1,7,6,8,3,2,4] => 1010110 => [1,1,1,1,2,1] => 1023
[6,7,3,1,8,4,2,5] => 0110110 => [1,2,1,2,1] => 603
[1,7,3,8,4,5,2,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,7,2,8,5,3,4,6] => 0101100 => [1,1,1,2,2] => 622
[7,6,1,8,4,3,2,5] => 1101110 => [2,1,3,1] => 262
[8,6,1,7,4,2,5,3] => 1101101 => [2,1,2,1,1] => 594
[8,1,2,7,3,4,6,5] => 1001001 => [1,2,1,2,1] => 603
[7,1,2,8,3,5,4,6] => 1001010 => [1,2,1,1,1,1] => 969
[8,2,6,1,7,3,5,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,3,1,4,7,5,6,2] => 1100101 => [2,2,1,1,1] => 582
[4,2,1,5,8,3,6,7] => 1100100 => [2,2,1,2] => 357
[5,4,3,1,6,8,2,7] => 1110010 => [3,2,1,1] => 256
[4,7,5,6,8,3,2,1] => 0100111 => [1,1,2,3] => 265
[6,5,4,8,2,7,3,1] => 1101011 => [2,1,1,1,2] => 603
[6,5,1,8,7,4,2,3] => 1101110 => [2,1,3,1] => 262
[8,6,4,7,5,3,2,1] => 1101111 => [2,1,4] => 85
[5,1,8,3,7,6,2,4] => 1010110 => [1,1,1,1,2,1] => 1023
[5,4,8,1,7,2,6,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[3,6,8,2,4,7,5,1] => 0010011 => [2,1,2,2] => 363
[5,7,3,8,2,6,4,1] => 0101011 => [1,1,1,1,1,2] => 1023
[4,7,2,8,6,3,5,1] => 0101101 => [1,1,1,2,1,1] => 1006
[2,3,8,7,4,5,6,1] => 0011001 => [2,2,2,1] => 357
[7,2,8,6,4,3,5,1] => 1011101 => [1,1,3,1,1] => 439
[2,1,8,7,5,6,3,4] => 1011010 => [1,1,2,1,1,1] => 984
[8,2,7,6,3,5,4,1] => 1011011 => [1,1,2,1,2] => 611
[8,1,7,6,5,2,4,3] => 1011101 => [1,1,3,1,1] => 439
[7,1,8,6,5,3,2,4] => 1011110 => [1,1,4,1] => 148
[1,2,8,7,6,3,4,5] => 0011100 => [2,3,2] => 153
[1,3,8,7,4,6,2,5] => 0011010 => [2,2,1,1,1] => 582
[5,1,6,8,7,4,2,3] => 1001110 => [1,2,3,1] => 262
[6,8,4,7,5,3,2,1] => 0101111 => [1,1,1,4] => 148
[6,8,7,2,5,4,3,1] => 0110111 => [1,2,1,3] => 262
[3,8,7,6,4,5,2,1] => 0111011 => [1,3,1,2] => 259
[2,8,7,6,5,3,4,1] => 0111101 => [1,4,1,1] => 145
[1,8,7,6,5,4,2,3] => 0111110 => [1,5,1] => 37
[5,8,6,7,3,4,1,2] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,8,6,7,3,5,1,2] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,8,6,7,4,5,1,2] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,8,6,7,4,5,1,3] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,8,6,7,4,5,2,3] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,8,5,7,4,6,2,3] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,8,5,7,4,6,1,2] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,8,5,7,3,6,1,2] => 0101010 => [1,1,1,1,1,1,1] => 1623
[7,8,3,6,4,5,1,2] => 0101010 => [1,1,1,1,1,1,1] => 1623
[6,8,3,7,4,5,1,2] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,8,3,7,4,6,1,2] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,7,4,8,5,6,1,2] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,7,3,8,5,6,1,2] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,7,2,8,5,6,1,3] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,7,1,8,5,6,2,3] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,7,1,8,5,6,2,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,7,2,8,5,6,1,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,7,3,8,5,6,1,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,7,4,8,5,6,1,3] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,8,2,7,4,6,1,3] => 0101010 => [1,1,1,1,1,1,1] => 1623
[6,8,2,7,4,5,1,3] => 0101010 => [1,1,1,1,1,1,1] => 1623
[7,8,2,6,4,5,1,3] => 0101010 => [1,1,1,1,1,1,1] => 1623
[7,8,1,6,4,5,2,3] => 0101010 => [1,1,1,1,1,1,1] => 1623
[6,8,1,7,4,5,2,3] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,8,1,7,4,6,2,3] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,7,4,8,5,6,2,3] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,7,3,8,5,6,2,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,8,5,6,1,7,3,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,8,5,6,2,7,3,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,7,3,8,4,6,2,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,8,1,7,3,6,2,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,8,1,7,3,6,2,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[6,8,1,7,3,5,2,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[7,8,2,6,3,5,1,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[6,8,2,7,3,5,1,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,8,2,7,3,6,1,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,8,2,7,3,6,1,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,7,3,8,4,6,1,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,7,2,8,4,6,1,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,7,1,8,4,6,2,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,8,4,7,3,6,2,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,8,4,7,3,6,1,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,8,4,7,2,6,1,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,8,5,7,2,6,1,3] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,8,5,7,2,6,1,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,8,5,7,3,6,1,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,8,5,7,3,6,2,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,8,6,7,3,5,2,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,8,6,7,3,5,1,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,8,6,7,2,5,1,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,8,6,7,2,5,1,3] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,8,6,7,2,4,1,3] => 0101010 => [1,1,1,1,1,1,1] => 1623
[6,8,5,7,1,4,2,3] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,8,6,7,1,4,2,3] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,8,6,7,1,5,2,3] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,8,6,7,1,5,2,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,5,2,8,6,7,3,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,5,1,8,6,7,3,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,6,1,8,5,7,3,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,6,2,8,5,7,3,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,8,5,7,1,6,2,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[6,8,4,7,1,5,2,3] => 0101010 => [1,1,1,1,1,1,1] => 1623
[7,8,4,6,1,5,2,3] => 0101010 => [1,1,1,1,1,1,1] => 1623
[7,8,3,6,1,5,2,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[6,8,3,7,1,5,2,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,8,3,7,1,6,2,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,8,4,7,1,6,2,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,6,2,8,4,7,3,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,6,1,8,4,7,3,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,7,2,6,1,8,4,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,7,1,6,2,8,4,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,8,1,6,2,7,3,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,8,1,6,2,7,3,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[7,8,1,5,2,6,3,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[7,8,2,5,1,6,3,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[6,8,2,5,1,7,3,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,8,2,6,1,7,3,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,8,2,6,1,7,3,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,7,3,6,2,8,4,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,7,3,6,1,8,4,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,2,3,4,5,6,7,8,9] => 00000000 => [8] => 1
[1,2,3,4,5,6,8,9,7] => 00000001 => [7,1] => 8
[1,2,3,4,5,7,8,9,6] => 00000001 => [7,1] => 8
[1,2,3,4,6,7,8,9,5] => 00000001 => [7,1] => 8
[1,2,3,5,6,7,8,9,4] => 00000001 => [7,1] => 8
[1,2,4,5,6,7,8,9,3] => 00000001 => [7,1] => 8
[1,3,4,5,6,7,8,9,2] => 00000001 => [7,1] => 8
[1,2,3,4,5,6,9,8,7] => 00000011 => [6,2] => 28
[1,2,3,4,5,8,7,9,6] => 00000101 => [5,1,1,1] => 240
[1,2,3,4,7,6,8,9,5] => 00001001 => [4,1,2,1] => 526
[1,2,3,6,5,7,8,9,4] => 00010001 => [3,1,3,1] => 676
[1,2,5,4,6,7,8,9,3] => 00100001 => [2,1,4,1] => 534
[1,4,3,5,6,7,8,9,2] => 01000001 => [1,1,5,1] => 244
[3,2,4,5,6,7,8,9,1] => 10000001 => [1,6,1] => 50
[6,7,4,8,3,5,1,2] => 0101010 => [1,1,1,1,1,1,1] => 1623
[6,7,4,5,2,8,1,3] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,7,4,6,2,3,1,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,7,4,6,3,8,1,2] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,7,4,8,3,6,1,2] => 0101010 => [1,1,1,1,1,1,1] => 1623
[6,8,4,5,3,7,1,2] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,8,4,6,3,7,1,2] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,6,4,8,3,7,1,2] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,6,3,7,2,4,1,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,6,3,7,2,8,1,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,6,3,8,2,7,1,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,6,4,8,2,7,1,3] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,8,4,6,2,7,1,3] => 0101010 => [1,1,1,1,1,1,1] => 1623
[6,8,4,5,2,7,1,3] => 0101010 => [1,1,1,1,1,1,1] => 1623
[7,8,4,5,2,6,1,3] => 0101010 => [1,1,1,1,1,1,1] => 1623
[6,8,4,5,2,3,1,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,8,4,6,2,3,1,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,6,4,8,2,3,1,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,6,3,8,2,4,1,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,6,3,4,2,8,1,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,6,3,5,2,7,1,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,6,3,5,2,8,1,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,6,3,8,2,5,1,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,8,3,6,2,5,1,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,8,3,6,2,4,1,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[6,8,3,5,2,4,1,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[7,8,3,5,2,4,1,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[7,8,3,5,2,6,1,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,8,3,6,2,7,1,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,8,3,6,2,7,1,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,6,3,8,2,7,1,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,6,3,7,2,8,1,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,7,3,6,2,5,1,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,7,3,6,2,8,1,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,7,3,8,2,6,1,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,7,4,8,2,6,1,3] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,7,3,6,2,8,1,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,7,3,6,2,4,1,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[6,7,3,5,2,4,1,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[6,7,3,5,2,8,1,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[6,7,4,8,2,5,1,3] => 0101010 => [1,1,1,1,1,1,1] => 1623
[6,7,5,8,2,4,1,3] => 0101010 => [1,1,1,1,1,1,1] => 1623
[6,8,5,7,2,3,1,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[6,7,4,8,2,3,1,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[6,7,3,8,2,4,1,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[6,7,3,4,2,8,1,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,7,3,4,2,6,1,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,7,3,4,2,8,1,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,7,4,8,2,3,1,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,8,4,7,2,3,1,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[6,8,4,7,2,3,1,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[7,8,4,6,2,3,1,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[7,8,3,6,2,4,1,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[6,8,3,7,2,4,1,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,8,3,7,2,4,1,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,8,3,7,2,5,1,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,7,3,8,2,5,1,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,7,3,5,2,8,1,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,7,3,5,2,6,1,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,5,3,7,2,6,1,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,5,3,7,2,8,1,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,5,3,8,2,7,1,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,8,3,5,2,7,1,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,8,3,4,2,7,1,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[6,8,3,4,2,7,1,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[7,8,3,4,2,6,1,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[6,8,3,4,2,5,1,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,8,3,4,2,6,1,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,8,3,5,2,6,1,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,5,3,8,2,6,1,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,5,3,6,2,8,1,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,7,5,2,1,8,3,6] => 0111010 => [1,3,1,1,1] => 427
[4,8,5,2,1,7,6,3] => 0111011 => [1,3,1,2] => 259
[4,6,5,2,1,3,8,7] => 0111001 => [1,3,2,1] => 259
[5,6,4,2,3,1,8,7] => 0110101 => [1,2,1,1,1,1] => 969
[6,4,5,3,1,2,8,7] => 1011001 => [1,1,2,2,1] => 611
[5,4,6,1,3,2,8,7] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,6,8,1,7,3,2,5] => 0010110 => [2,1,1,2,1] => 603
[4,7,8,1,6,3,5,2] => 0010101 => [2,1,1,1,1,1] => 969
[7,4,8,1,6,5,3,2] => 1010111 => [1,1,1,1,3] => 450
[5,4,8,1,3,7,6,2] => 1010011 => [1,1,1,2,2] => 622
[8,4,5,3,1,7,6,2] => 1011011 => [1,1,2,1,2] => 611
[5,4,7,1,3,8,2,6] => 1010010 => [1,1,1,2,1,1] => 1006
[6,4,8,1,7,5,2,3] => 1010110 => [1,1,1,1,2,1] => 1023
[5,6,8,7,2,1,3,4] => 0011100 => [2,3,2] => 153
[8,5,7,6,4,2,1,3] => 1011110 => [1,1,4,1] => 148
[8,4,6,3,7,2,1,5] => 1010110 => [1,1,1,1,2,1] => 1023
[6,3,2,8,7,4,1,5] => 1101110 => [2,1,3,1] => 262
[2,1,6,8,7,4,3,5] => 1001110 => [1,2,3,1] => 262
[2,1,7,8,6,4,5,3] => 1001101 => [1,2,2,1,1] => 594
[7,3,2,8,6,4,5,1] => 1101101 => [2,1,2,1,1] => 594
[7,6,8,5,2,4,3,1] => 1011011 => [1,1,2,1,2] => 611
[5,7,8,6,2,3,1,4] => 0011010 => [2,2,1,1,1] => 582
[5,8,7,6,3,2,1,4] => 0111110 => [1,5,1] => 37
[6,8,7,5,3,2,4,1] => 0111101 => [1,4,1,1] => 145
[5,8,4,2,3,7,6,1] => 0110011 => [1,2,2,2] => 363
[7,8,4,2,6,5,3,1] => 0110111 => [1,2,1,3] => 262
[4,8,7,2,6,3,5,1] => 0110101 => [1,2,1,1,1,1] => 969
[4,8,6,2,7,3,1,5] => 0110110 => [1,2,1,2,1] => 603
[3,6,1,8,7,4,2,5] => 0101110 => [1,1,1,3,1] => 450
[3,7,1,8,6,4,5,2] => 0101101 => [1,1,1,2,1,1] => 1006
[3,8,1,6,7,5,2,4] => 0100110 => [1,1,2,2,1] => 611
[3,7,1,6,8,2,5,4] => 0100101 => [1,1,2,1,1,1] => 984
[4,7,6,2,8,1,3,5] => 0110100 => [1,2,1,1,2] => 603
[6,7,4,2,8,1,5,3] => 0110101 => [1,2,1,1,1,1] => 969
[6,8,4,2,7,5,1,3] => 0110110 => [1,2,1,2,1] => 603
[2,1,8,6,7,5,3,4] => 1010110 => [1,1,1,1,2,1] => 1023
[8,3,2,6,7,5,1,4] => 1100110 => [2,2,2,1] => 357
[8,6,4,3,7,5,1,2] => 1110110 => [3,1,2,1] => 259
[5,8,6,7,3,1,2,4] => 0101100 => [1,1,1,2,2] => 622
[6,7,5,8,1,3,4,2] => 0101001 => [1,1,1,1,2,1] => 1023
[7,6,5,8,1,4,3,2] => 1101011 => [2,1,1,1,2] => 603
[8,6,5,7,4,1,3,2] => 1101101 => [2,1,2,1,1] => 594
[7,6,4,3,8,1,5,2] => 1110101 => [3,1,1,1,1] => 427
[7,3,2,6,8,1,5,4] => 1100101 => [2,2,1,1,1] => 582
[2,1,7,6,8,3,5,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,5,6,8,1,4,2,3] => 1001010 => [1,2,1,1,1,1] => 969
[6,5,7,8,1,2,4,3] => 1001001 => [1,2,1,2,1] => 603
[8,1,3,7,4,6,5,2] => 1001011 => [1,2,1,1,2] => 603
[5,2,8,7,4,6,1,3] => 1011010 => [1,1,2,1,1,1] => 984
[1,6,2,5,4,7,3,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[6,2,7,5,4,8,3,1] => 1011011 => [1,1,2,1,2] => 611
[8,1,3,5,4,7,6,2] => 1001011 => [1,2,1,1,2] => 603
[6,1,5,4,3,8,7,2] => 1011011 => [1,1,2,1,2] => 611
[6,1,8,3,4,5,7,2] => 1010001 => [1,1,1,3,1] => 450
[7,1,5,3,4,8,6,2] => 1010011 => [1,1,1,2,2] => 622
[7,1,4,3,5,6,8,2] => 1010001 => [1,1,1,3,1] => 450
[8,1,3,4,5,6,7,2] => 1000001 => [1,5,1] => 37
[1,7,2,4,5,6,3,8] => 0100010 => [1,1,3,1,1] => 439
[6,3,2,7,5,1,8,4] => 1101101 => [2,1,2,1,1] => 594
[8,4,7,2,5,6,1,3] => 1010010 => [1,1,1,2,1,1] => 1006
[6,5,8,2,4,7,3,1] => 1010011 => [1,1,1,2,2] => 622
[8,5,2,1,4,3,7,6] => 1110101 => [3,1,1,1,1] => 427
[6,5,2,8,4,1,3,7] => 1101100 => [2,1,2,2] => 363
[5,6,2,1,4,8,3,7] => 0110010 => [1,2,2,1,1] => 594
[3,6,1,8,5,2,4,7] => 0101100 => [1,1,1,2,2] => 622
[1,2,6,3,5,4,7,8] => 0010100 => [2,1,1,1,2] => 603
[3,4,1,2,8,6,5,7] => 0100110 => [1,1,2,2,1] => 611
[4,3,1,2,6,8,5,7] => 1100010 => [2,3,1,1] => 256
[5,8,1,6,3,2,4,7] => 0101100 => [1,1,1,2,2] => 622
[6,3,8,5,2,1,4,7] => 1011100 => [1,1,3,2] => 265
[8,3,1,5,2,4,7,6] => 1101001 => [2,1,1,2,1] => 603
[3,8,2,6,1,5,7,4] => 0101001 => [1,1,1,1,2,1] => 1023
[3,8,6,7,2,1,5,4] => 0101101 => [1,1,1,2,1,1] => 1006
[8,5,6,4,2,1,7,3] => 1011101 => [1,1,3,1,1] => 439
[7,2,5,8,3,1,6,4] => 1001101 => [1,2,2,1,1] => 594
[1,7,5,6,3,2,4,8] => 0101100 => [1,1,1,2,2] => 622
[6,1,2,3,8,5,7,4] => 1000101 => [1,3,1,1,1] => 427
[7,1,2,3,6,5,8,4] => 1000101 => [1,3,1,1,1] => 427
[7,2,1,3,8,6,4,5] => 1100110 => [2,2,2,1] => 357
[1,5,7,3,2,4,6,8] => 0011000 => [2,2,3] => 153
[5,2,7,3,1,8,4,6] => 1011010 => [1,1,2,1,1,1] => 984
[5,8,2,4,1,3,7,6] => 0101001 => [1,1,1,1,2,1] => 1023
[8,7,2,6,3,4,1,5] => 1101010 => [2,1,1,1,1,1] => 969
[4,8,1,6,3,2,7,5] => 0101101 => [1,1,1,2,1,1] => 1006
[3,1,8,6,4,2,7,5] => 1011101 => [1,1,3,1,1] => 439
[8,1,6,7,4,3,2,5] => 1001110 => [1,2,3,1] => 262
[3,5,8,7,2,4,1,6] => 0011010 => [2,2,1,1,1] => 582
[4,2,1,3,7,8,5,6] => 1100010 => [2,3,1,1] => 256
[2,4,1,3,8,7,5,6] => 0100110 => [1,1,2,2,1] => 611
[2,5,8,3,1,7,4,6] => 0011010 => [2,2,1,1,1] => 582
[8,6,1,3,7,2,4,5] => 1100100 => [2,2,1,2] => 357
[2,8,1,3,6,4,7,5] => 0100101 => [1,1,2,1,1,1] => 984
[6,8,2,3,4,1,5,7] => 0100100 => [1,1,2,1,2] => 611
[5,1,8,3,2,4,6,7] => 1011000 => [1,1,2,3] => 265
[9,8,7,6,5,4,3,2,1] => 11111111 => [8] => 1
[8,9,7,6,5,4,3,2,1] => 01111111 => [1,7] => 8
[8,7,9,6,5,4,3,2,1] => 10111111 => [1,1,6] => 50
[8,7,6,9,5,4,3,2,1] => 11011111 => [2,1,5] => 138
[8,7,6,5,9,4,3,2,1] => 11101111 => [3,1,4] => 220
[8,7,6,5,4,9,3,2,1] => 11110111 => [4,1,3] => 220
[8,7,6,5,4,3,9,2,1] => 11111011 => [5,1,2] => 138
[8,7,6,5,4,3,2,9,1] => 11111101 => [6,1,1] => 50
[8,7,6,5,4,3,2,1,9] => 11111110 => [7,1] => 8
[7,8,9,6,5,4,3,2,1] => 00111111 => [2,6] => 28
[8,6,7,9,5,4,3,2,1] => 10011111 => [1,2,5] => 138
[8,7,5,6,9,4,3,2,1] => 11001111 => [2,2,4] => 306
[8,7,6,4,5,9,3,2,1] => 11100111 => [3,2,3] => 392
[8,7,6,5,3,4,9,2,1] => 11110011 => [4,2,2] => 306
[8,7,6,5,4,2,3,9,1] => 11111001 => [5,2,1] => 138
[8,7,6,5,4,3,1,2,9] => 11111100 => [6,2] => 28
[1,4,2,7,8,6,3,5] => 0100110 => [1,1,2,2,1] => 611
[1,6,2,4,8,5,3,7] => 0100110 => [1,1,2,2,1] => 611
[1,6,2,4,7,5,3,8] => 0100110 => [1,1,2,2,1] => 611
[1,7,3,8,5,2,4,6] => 0101100 => [1,1,1,2,2] => 622
[1,7,3,2,8,6,4,5] => 0110110 => [1,2,1,2,1] => 603
[4,2,5,7,8,6,1,3] => 1000110 => [1,3,2,1] => 259
[7,2,3,1,8,5,6,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,2,5,1,7,3,4,6] => 1010100 => [1,1,1,1,1,2] => 1023
[6,2,1,8,3,4,7,5] => 1101001 => [2,1,1,2,1] => 603
[6,2,8,3,5,1,7,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,2,4,8,5,7,1,3] => 1001010 => [1,2,1,1,1,1] => 969
[1,3,6,4,8,5,7,2] => 0010101 => [2,1,1,1,1,1] => 969
[1,3,6,4,7,5,8,2] => 0010101 => [2,1,1,1,1,1] => 969
[6,2,4,7,5,8,1,3] => 1001010 => [1,2,1,1,1,1] => 969
[6,2,1,3,7,8,4,5] => 1100010 => [2,3,1,1] => 256
[7,8,2,1,4,3,5,6] => 0110100 => [1,2,1,1,2] => 603
[7,6,4,2,3,1,8,5] => 1110101 => [3,1,1,1,1] => 427
[5,7,2,3,1,6,8,4] => 0101001 => [1,1,1,1,2,1] => 1023
[7,5,4,2,6,8,1,3] => 1110010 => [3,2,1,1] => 256
[1,7,5,3,4,6,8,2] => 0110001 => [1,2,3,1] => 262
[8,2,5,4,6,7,1,3] => 1010010 => [1,1,1,2,1,1] => 1006
[5,2,6,3,1,8,7,4] => 1011011 => [1,1,2,1,2] => 611
[8,2,6,4,3,1,7,5] => 1011101 => [1,1,3,1,1] => 439
[8,2,7,4,1,3,5,6] => 1011000 => [1,1,2,3] => 265
[1,2,8,4,3,5,6,7] => 0011000 => [2,2,3] => 153
[1,7,4,2,3,5,6,8] => 0110000 => [1,2,4] => 85
[6,8,4,1,3,2,5,7] => 0110100 => [1,2,1,1,2] => 603
[1,8,7,4,3,2,5,6] => 0111100 => [1,4,2] => 85
[1,6,3,8,2,4,7,5] => 0101001 => [1,1,1,1,2,1] => 1023
[5,3,8,1,2,7,4,6] => 1010010 => [1,1,1,2,1,1] => 1006
[5,1,8,3,2,6,4,7] => 1011010 => [1,1,2,1,1,1] => 984
[5,7,3,1,2,6,4,8] => 0110010 => [1,2,2,1,1] => 594
[1,7,5,4,2,6,3,8] => 0111010 => [1,3,1,1,1] => 427
[1,5,8,2,4,6,3,7] => 0010010 => [2,1,2,1,1] => 594
[1,5,8,4,2,7,3,6] => 0011010 => [2,2,1,1,1] => 582
[1,4,6,2,8,3,7,5] => 0010101 => [2,1,1,1,1,1] => 969
[5,3,1,6,7,2,4,8] => 1100100 => [2,2,1,2] => 357
[5,3,6,1,2,8,4,7] => 1010010 => [1,1,1,2,1,1] => 1006
[1,6,3,2,7,8,4,5] => 0110010 => [1,2,2,1,1] => 594
[1,7,4,5,3,8,6,2] => 0101011 => [1,1,1,1,1,2] => 1023
[6,3,4,1,2,5,8,7] => 1010001 => [1,1,1,3,1] => 450
[6,3,1,4,2,7,5,8] => 1101010 => [2,1,1,1,1,1] => 969
[1,8,3,2,4,5,6,7] => 0110000 => [1,2,4] => 85
[8,6,3,2,4,1,7,5] => 1110101 => [3,1,1,1,1] => 427
[8,5,3,2,6,7,1,4] => 1110010 => [3,2,1,1] => 256
[4,5,2,6,8,1,7,3] => 0100101 => [1,1,2,1,1,1] => 984
[4,2,5,6,7,8,1,3] => 1000010 => [1,4,1,1] => 145
[5,2,3,6,7,1,8,4] => 1000101 => [1,3,1,1,1] => 427
[6,2,3,4,1,7,8,5] => 1001001 => [1,2,1,2,1] => 603
[7,2,3,1,4,5,8,6] => 1010001 => [1,1,1,3,1] => 450
[8,6,1,4,3,2,5,7] => 1101100 => [2,1,2,2] => 363
[8,3,1,6,5,2,4,7] => 1101100 => [2,1,2,2] => 363
[3,7,5,1,8,2,4,6] => 0110100 => [1,2,1,1,2] => 603
[4,1,5,2,8,7,3,6] => 1010110 => [1,1,1,1,2,1] => 1023
[8,1,2,4,6,5,3,7] => 1000110 => [1,3,2,1] => 259
[8,1,2,5,4,6,3,7] => 1001010 => [1,2,1,1,1,1] => 969
[8,2,6,5,1,3,4,7] => 1011000 => [1,1,2,3] => 265
[8,3,1,6,2,5,4,7] => 1101010 => [2,1,1,1,1,1] => 969
[8,1,2,6,4,5,3,7] => 1001010 => [1,2,1,1,1,1] => 969
[8,1,2,5,6,4,3,7] => 1000110 => [1,3,2,1] => 259
[8,1,2,6,5,4,3,7] => 1001110 => [1,2,3,1] => 262
[1,7,5,4,2,8,3,6] => 0111010 => [1,3,1,1,1] => 427
[5,1,4,8,2,7,3,6] => 1001010 => [1,2,1,1,1,1] => 969
[1,4,6,8,2,7,3,5] => 0001010 => [3,1,1,1,1] => 427
[1,4,7,6,2,8,3,5] => 0011010 => [2,2,1,1,1] => 582
[5,1,4,7,2,8,3,6] => 1001010 => [1,2,1,1,1,1] => 969
[1,7,4,5,2,8,3,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,7,5,1,2,8,4,6] => 0110010 => [1,2,2,1,1] => 594
[5,7,2,8,1,3,4,6] => 0101000 => [1,1,1,1,3] => 450
[5,2,8,7,1,3,4,6] => 1011000 => [1,1,2,3] => 265
[4,1,5,8,2,7,3,6] => 1001010 => [1,2,1,1,1,1] => 969
[1,4,6,2,8,7,3,5] => 0010110 => [2,1,1,2,1] => 603
[1,4,2,8,6,7,3,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,1,2,6,4,8,7,5] => 1001011 => [1,2,1,1,2] => 603
[2,1,7,6,3,4,8,5] => 1011001 => [1,1,2,2,1] => 611
[3,1,2,7,4,6,8,5] => 1001001 => [1,2,1,2,1] => 603
[1,4,7,2,6,8,3,5] => 0010010 => [2,1,2,1,1] => 594
[1,2,3,6,8,5,7,4] => 0000101 => [4,1,1,1] => 145
[5,1,4,2,7,8,3,6] => 1010010 => [1,1,1,2,1,1] => 1006
[1,4,2,7,6,8,3,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,4,2,6,8,7,3,5] => 0100110 => [1,1,2,2,1] => 611
[3,1,2,8,4,6,7,5] => 1001001 => [1,2,1,2,1] => 603
[3,1,2,7,6,4,8,5] => 1001101 => [1,2,2,1,1] => 594
[5,3,7,1,8,2,4,6] => 1010100 => [1,1,1,1,1,2] => 1023
[1,7,4,3,2,5,8,6] => 0111001 => [1,3,2,1] => 259
[4,8,7,2,1,3,5,6] => 0111000 => [1,3,3] => 110
[1,8,7,3,4,2,5,6] => 0110100 => [1,2,1,1,2] => 603
[3,1,7,8,2,6,4,5] => 1001010 => [1,2,1,1,1,1] => 969
[1,4,2,7,8,3,6,5] => 0100101 => [1,1,2,1,1,1] => 984
[5,2,8,1,3,4,7,6] => 1010001 => [1,1,1,3,1] => 450
[2,1,8,6,3,4,7,5] => 1011001 => [1,1,2,2,1] => 611
[1,4,2,6,8,3,7,5] => 0100101 => [1,1,2,1,1,1] => 984
[1,2,3,7,8,5,6,4] => 0000101 => [4,1,1,1] => 145
[1,2,3,7,5,8,6,4] => 0001011 => [3,1,1,2] => 259
[1,4,2,7,3,8,6,5] => 0101011 => [1,1,1,1,1,2] => 1023
[3,1,7,2,8,6,4,5] => 1010110 => [1,1,1,1,2,1] => 1023
[2,1,7,8,3,4,6,5] => 1001001 => [1,2,1,2,1] => 603
[1,2,3,8,7,5,6,4] => 0001101 => [3,2,1,1] => 256
[4,7,8,5,6,2,1,3] => 0010110 => [2,1,1,2,1] => 603
[5,7,8,4,2,6,1,3] => 0011010 => [2,2,1,1,1] => 582
[6,7,8,4,2,5,1,3] => 0011010 => [2,2,1,1,1] => 582
[8,6,3,7,2,1,5,4] => 1101101 => [2,1,2,1,1] => 594
[7,6,3,8,2,1,5,4] => 1101101 => [2,1,2,1,1] => 594
[6,7,8,3,2,1,5,4] => 0011101 => [2,3,1,1] => 256
[5,7,8,3,2,1,6,4] => 0011101 => [2,3,1,1] => 256
[2,7,8,4,3,5,6,1] => 0011001 => [2,2,2,1] => 357
[3,7,8,4,2,5,1,6] => 0011010 => [2,2,1,1,1] => 582
[4,7,8,3,2,1,5,6] => 0011100 => [2,3,2] => 153
[5,7,8,3,2,1,4,6] => 0011100 => [2,3,2] => 153
[7,6,3,8,2,1,4,5] => 1101100 => [2,1,2,2] => 363
[8,6,3,7,2,1,4,5] => 1101100 => [2,1,2,2] => 363
[5,6,3,8,2,1,4,7] => 0101100 => [1,1,1,2,2] => 622
[3,6,4,8,2,5,1,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,6,4,8,3,5,7,1] => 0101001 => [1,1,1,1,2,1] => 1023
[2,6,4,7,3,5,8,1] => 0101001 => [1,1,1,1,2,1] => 1023
[3,6,4,7,2,5,1,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,6,3,7,2,1,5,8] => 0101100 => [1,1,1,2,2] => 622
[5,6,3,7,2,1,4,8] => 0101100 => [1,1,1,2,2] => 622
[8,4,3,2,1,6,5,7] => 1111010 => [4,1,1,1] => 145
[6,4,3,2,1,7,5,8] => 1111010 => [4,1,1,1] => 145
[4,5,3,2,7,1,6,8] => 0110100 => [1,2,1,1,2] => 603
[3,5,4,2,8,6,1,7] => 0110110 => [1,2,1,2,1] => 603
[6,4,3,2,1,8,5,7] => 1111010 => [4,1,1,1] => 145
[7,4,3,2,1,8,5,6] => 1111010 => [4,1,1,1] => 145
[8,4,3,2,1,7,5,6] => 1111010 => [4,1,1,1] => 145
[8,4,3,2,1,7,6,5] => 1111011 => [4,1,2] => 85
[7,4,3,2,1,8,6,5] => 1111011 => [4,1,2] => 85
[6,4,3,2,1,8,7,5] => 1111011 => [4,1,2] => 85
[5,6,3,8,2,1,7,4] => 0101101 => [1,1,1,2,1,1] => 1006
[7,5,3,2,8,1,6,4] => 1110101 => [3,1,1,1,1] => 427
[8,5,4,2,7,6,1,3] => 1110110 => [3,1,2,1] => 259
[7,5,4,2,8,6,1,3] => 1110110 => [3,1,2,1] => 259
[6,5,4,2,8,7,1,3] => 1110110 => [3,1,2,1] => 259
[4,6,5,8,7,2,1,3] => 0101110 => [1,1,1,3,1] => 450
[2,6,5,7,8,3,4,1] => 0100101 => [1,1,2,1,1,1] => 984
[6,5,4,2,7,8,1,3] => 1110010 => [3,2,1,1] => 256
[8,5,4,2,6,7,1,3] => 1110010 => [3,2,1,1] => 256
[8,5,3,2,6,1,7,4] => 1110101 => [3,1,1,1,1] => 427
[7,5,3,2,6,1,8,4] => 1110101 => [3,1,1,1,1] => 427
[5,6,3,7,2,1,8,4] => 0101101 => [1,1,1,2,1,1] => 1006
[4,6,3,7,2,1,8,5] => 0101101 => [1,1,1,2,1,1] => 1006
[3,6,4,7,2,8,1,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,6,4,7,3,8,5,1] => 0101011 => [1,1,1,1,1,2] => 1023
[3,5,4,2,7,8,1,6] => 0110010 => [1,2,2,1,1] => 594
[4,5,3,2,7,1,8,6] => 0110101 => [1,2,1,1,1,1] => 969
[7,4,3,2,1,6,8,5] => 1111001 => [4,2,1] => 85
[8,4,3,2,1,6,7,5] => 1111001 => [4,2,1] => 85
[8,4,3,2,1,5,7,6] => 1111001 => [4,2,1] => 85
[7,4,3,2,1,5,8,6] => 1111001 => [4,2,1] => 85
[6,4,3,2,1,5,8,7] => 1111001 => [4,2,1] => 85
[3,5,4,2,6,8,1,7] => 0110010 => [1,2,2,1,1] => 594
[5,6,3,4,1,2,8,7] => 0101001 => [1,1,1,1,2,1] => 1023
[8,5,3,7,2,6,4,1] => 1101011 => [2,1,1,1,2] => 603
[8,5,7,4,2,6,3,1] => 1011011 => [1,1,2,1,2] => 611
[7,5,8,4,2,6,1,3] => 1011010 => [1,1,2,1,1,1] => 984
[2,1,7,8,5,6,3,4] => 1001010 => [1,2,1,1,1,1] => 969
[6,8,3,7,5,1,4,2] => 0101101 => [1,1,1,2,1,1] => 1006
[5,7,3,8,1,6,2,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,2,6,4,8,5,1,7] => 1010110 => [1,1,1,1,2,1] => 1023
[3,5,2,4,1,7,6,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,2,5,8,3,1,6,7] => 1001100 => [1,2,2,2] => 363
[3,1,5,4,2,8,6,7] => 1011010 => [1,1,2,1,1,1] => 984
[4,1,5,8,3,2,6,7] => 1001100 => [1,2,2,2] => 363
[4,3,8,5,2,1,6,7] => 1011100 => [1,1,3,2] => 265
[4,7,3,5,2,1,6,8] => 0101100 => [1,1,1,2,2] => 622
[4,3,2,7,5,1,6,8] => 1101100 => [2,1,2,2] => 363
[4,3,6,2,5,1,7,8] => 1010100 => [1,1,1,1,1,2] => 1023
[4,6,3,2,5,1,7,8] => 0110100 => [1,2,1,1,2] => 603
[4,5,1,7,3,2,6,8] => 0101100 => [1,1,1,2,2] => 622
[5,2,1,4,3,7,8,6] => 1101001 => [2,1,1,2,1] => 603
[4,3,1,5,7,2,6,8] => 1100100 => [2,2,1,2] => 357
[4,3,6,1,5,2,7,8] => 1010100 => [1,1,1,1,1,2] => 1023
[4,6,3,1,5,2,7,8] => 0110100 => [1,2,1,1,2] => 603
[5,3,6,4,1,2,7,8] => 1011000 => [1,1,2,3] => 265
[4,3,6,1,7,2,5,8] => 1010100 => [1,1,1,1,1,2] => 1023
[6,2,4,1,3,7,8,5] => 1010001 => [1,1,1,3,1] => 450
[3,6,4,1,2,7,5,8] => 0110010 => [1,2,2,1,1] => 594
[4,6,3,1,7,2,5,8] => 0110100 => [1,2,1,1,2] => 603
[5,6,2,7,1,3,4,8] => 0101000 => [1,1,1,1,3] => 450
[4,5,2,7,3,1,6,8] => 0101100 => [1,1,1,2,2] => 622
[4,6,2,1,7,3,5,8] => 0110100 => [1,2,1,1,2] => 603
[3,2,6,1,4,7,5,8] => 1010010 => [1,1,1,2,1,1] => 1006
[3,5,2,7,4,6,1,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,7,2,4,8,5,1,6] => 0100110 => [1,1,2,2,1] => 611
[7,3,1,4,6,8,2,5] => 1100010 => [2,3,1,1] => 256
[3,2,6,1,5,7,4,8] => 1010010 => [1,1,1,2,1,1] => 1006
[6,3,2,1,5,7,4,8] => 1110010 => [3,2,1,1] => 256
[6,4,2,1,5,3,7,8] => 1110100 => [3,1,1,2] => 259
[4,2,6,1,5,3,7,8] => 1010100 => [1,1,1,1,1,2] => 1023
[4,2,1,7,5,3,6,8] => 1101100 => [2,1,2,2] => 363
[7,4,1,5,6,2,3,8] => 1100100 => [2,2,1,2] => 357
[7,3,1,5,2,6,4,8] => 1101010 => [2,1,1,1,1,1] => 969
[6,3,5,1,2,7,4,8] => 1010010 => [1,1,1,2,1,1] => 1006
[5,2,6,4,1,3,7,8] => 1011000 => [1,1,2,3] => 265
[3,6,5,1,2,7,4,8] => 0110010 => [1,2,2,1,1] => 594
[6,5,2,1,4,7,8,3] => 1110001 => [3,3,1] => 110
[6,5,3,1,4,7,2,8] => 1110010 => [3,2,1,1] => 256
[2,3,1,8,5,4,7,6] => 0101101 => [1,1,1,2,1,1] => 1006
[2,4,1,5,8,3,7,6] => 0100101 => [1,1,2,1,1,1] => 984
[2,4,1,5,3,8,7,6] => 0101011 => [1,1,1,1,1,2] => 1023
[3,4,5,1,2,8,7,6] => 0010011 => [2,1,2,2] => 363
[3,4,5,1,8,2,7,6] => 0010101 => [2,1,1,1,1,1] => 969
[1,8,4,5,3,2,7,6] => 0101101 => [1,1,1,2,1,1] => 1006
[2,4,8,5,3,1,7,6] => 0011101 => [2,3,1,1] => 256
[3,4,5,8,2,1,7,6] => 0001101 => [3,2,1,1] => 256
[3,4,5,2,8,1,7,6] => 0010101 => [2,1,1,1,1,1] => 969
[3,4,6,2,1,7,8,5] => 0011001 => [2,2,2,1] => 357
[3,4,6,2,1,7,5,8] => 0011010 => [2,2,1,1,1] => 582
[3,5,6,2,7,1,4,8] => 0010100 => [2,1,1,1,2] => 603
[3,5,6,2,7,1,8,4] => 0010101 => [2,1,1,1,1,1] => 969
[3,5,6,2,7,8,1,4] => 0010010 => [2,1,2,1,1] => 594
[3,4,6,2,8,7,1,5] => 0010110 => [2,1,1,2,1] => 603
[3,4,6,8,2,7,1,5] => 0001010 => [3,1,1,1,1] => 427
[2,4,8,6,3,7,1,5] => 0011010 => [2,2,1,1,1] => 582
[1,8,4,6,3,7,2,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,8,4,6,3,7,5,2] => 0101011 => [1,1,1,1,1,2] => 1023
[3,4,6,8,2,7,5,1] => 0001011 => [3,1,1,2] => 259
[3,4,6,2,8,7,5,1] => 0010111 => [2,1,1,3] => 262
[3,5,6,2,7,8,4,1] => 0010011 => [2,1,2,2] => 363
[3,5,6,2,7,4,1,8] => 0010110 => [2,1,1,2,1] => 603
[4,5,6,7,2,8,3,1] => 0001011 => [3,1,1,2] => 259
[3,5,6,8,7,2,4,1] => 0001101 => [3,2,1,1] => 256
[2,5,8,6,7,3,4,1] => 0010101 => [2,1,1,1,1,1] => 969
[1,8,5,6,7,3,4,2] => 0100101 => [1,1,2,1,1,1] => 984
[1,8,5,6,7,3,2,4] => 0100110 => [1,1,2,2,1] => 611
[2,5,8,6,7,3,1,4] => 0010110 => [2,1,1,2,1] => 603
[3,5,6,8,7,2,1,4] => 0001110 => [3,3,1] => 110
[4,5,6,7,2,1,8,3] => 0001101 => [3,2,1,1] => 256
[3,4,6,1,8,7,2,5] => 0010110 => [2,1,1,2,1] => 603
[2,4,1,6,8,7,3,5] => 0100110 => [1,1,2,2,1] => 611
[2,3,1,8,6,7,4,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,8,3,2,6,7,5,4] => 0110011 => [1,2,2,2] => 363
[2,5,1,6,7,8,4,3] => 0100011 => [1,1,3,2] => 265
[2,5,1,6,7,4,8,3] => 0100101 => [1,1,2,1,1,1] => 984
[2,5,1,6,7,4,3,8] => 0100110 => [1,1,2,2,1] => 611
[3,5,6,1,7,4,2,8] => 0010110 => [2,1,1,2,1] => 603
[3,5,6,1,7,4,8,2] => 0010101 => [2,1,1,1,1,1] => 969
[3,4,6,1,8,7,5,2] => 0010111 => [2,1,1,3] => 262
[3,4,6,8,1,7,5,2] => 0001011 => [3,1,1,2] => 259
[2,4,8,6,1,7,5,3] => 0011011 => [2,2,1,2] => 357
[1,8,4,6,2,7,5,3] => 0101011 => [1,1,1,1,1,2] => 1023
[1,8,5,6,7,2,4,3] => 0100101 => [1,1,2,1,1,1] => 984
[2,5,8,6,7,1,4,3] => 0010101 => [2,1,1,1,1,1] => 969
[3,5,6,8,7,1,4,2] => 0001101 => [3,2,1,1] => 256
[4,5,6,7,8,1,3,2] => 0000101 => [4,1,1,1] => 145
[4,5,6,7,1,3,8,2] => 0001001 => [3,1,2,1] => 259
[4,5,6,7,1,3,2,8] => 0001010 => [3,1,1,1,1] => 427
[4,5,6,7,3,1,8,2] => 0001101 => [3,2,1,1] => 256
[3,5,6,8,7,4,1,2] => 0001110 => [3,3,1] => 110
[2,5,8,6,7,4,1,3] => 0010110 => [2,1,1,2,1] => 603
[1,8,5,6,7,4,2,3] => 0100110 => [1,1,2,2,1] => 611
[1,8,5,6,7,4,3,2] => 0100111 => [1,1,2,3] => 265
[2,5,8,6,7,4,3,1] => 0010111 => [2,1,1,3] => 262
[8,2,5,3,7,1,6,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,2,4,3,7,1,6,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,8,2,4,3,7,1,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,2,5,6,1,8,3,7] => 1001010 => [1,2,1,1,1,1] => 969
[4,2,5,6,1,7,3,8] => 1001010 => [1,2,1,1,1,1] => 969
[6,1,5,7,3,2,4,8] => 1001100 => [1,2,2,2] => 363
[6,1,5,8,3,2,4,7] => 1001100 => [1,2,2,2] => 363
[3,8,2,4,7,1,5,6] => 0100100 => [1,1,2,1,2] => 611
[3,6,8,2,4,7,1,5] => 0010010 => [2,1,2,1,1] => 594
[4,3,5,6,7,1,8,2] => 1000101 => [1,3,1,1,1] => 427
[3,7,1,5,6,8,2,4] => 0100010 => [1,1,3,1,1] => 439
[3,7,1,5,8,2,4,6] => 0100100 => [1,1,2,1,2] => 611
[8,3,2,4,6,1,5,7] => 1100100 => [2,2,1,2] => 357
[7,3,2,4,6,1,5,8] => 1100100 => [2,2,1,2] => 357
[3,2,5,1,7,4,6,8] => 1010100 => [1,1,1,1,1,2] => 1023
[3,2,5,1,8,4,6,7] => 1010100 => [1,1,1,1,1,2] => 1023
[3,2,5,1,7,8,4,6] => 1010010 => [1,1,1,2,1,1] => 1006
[7,8,3,2,4,6,1,5] => 0110010 => [1,2,2,1,1] => 594
[6,1,5,7,8,3,2,4] => 1000110 => [1,3,2,1] => 259
[4,2,5,6,1,7,8,3] => 1001001 => [1,2,1,2,1] => 603
[5,7,6,1,8,3,4,2] => 0110101 => [1,2,1,1,1,1] => 969
[5,8,6,1,7,3,4,2] => 0110101 => [1,2,1,1,1,1] => 969
[6,1,5,8,7,3,2,4] => 1001110 => [1,2,3,1] => 262
[8,7,3,2,4,6,1,5] => 1110010 => [3,2,1,1] => 256
[3,2,5,1,8,7,4,6] => 1010110 => [1,1,1,1,2,1] => 1023
[3,2,5,1,6,4,7,8] => 1010100 => [1,1,1,1,1,2] => 1023
[3,2,4,1,8,7,5,6] => 1010110 => [1,1,1,1,2,1] => 1023
[3,2,5,1,6,8,7,4] => 1010011 => [1,1,1,2,2] => 622
[3,8,6,5,1,7,4,2] => 0111011 => [1,3,1,2] => 259
[3,7,6,5,1,8,4,2] => 0111011 => [1,3,1,2] => 259
[6,5,1,7,8,4,2,3] => 1100110 => [2,2,2,1] => 357
[3,2,5,1,6,7,8,4] => 1010001 => [1,1,1,3,1] => 450
[3,2,4,1,8,5,6,7] => 1010100 => [1,1,1,1,1,2] => 1023
[3,2,4,1,7,5,6,8] => 1010100 => [1,1,1,1,1,2] => 1023
[3,2,4,1,6,8,5,7] => 1010010 => [1,1,1,2,1,1] => 1006
[3,2,4,1,8,5,7,6] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,3,2,4,7,6,1,5] => 1100110 => [2,2,2,1] => 357
[3,2,5,1,8,4,7,6] => 1010101 => [1,1,1,1,1,1,1] => 1623
[3,2,5,1,6,7,4,8] => 1010010 => [1,1,1,2,1,1] => 1006
[6,5,1,7,4,2,3,8] => 1101100 => [2,1,2,2] => 363
[6,5,1,8,4,2,3,7] => 1101100 => [2,1,2,2] => 363
[8,4,2,3,7,5,1,6] => 1100110 => [2,2,2,1] => 357
[4,2,6,1,8,3,7,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,2,6,1,8,3,7,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,4,6,1,7,3,5,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,2,6,1,8,4,7,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,4,2,3,8,5,1,6] => 1100110 => [2,2,2,1] => 357
[8,5,1,6,4,2,3,7] => 1101100 => [2,1,2,2] => 363
[7,5,1,6,4,2,3,8] => 1101100 => [2,1,2,2] => 363
[3,2,5,1,7,6,4,8] => 1010110 => [1,1,1,1,2,1] => 1023
[3,2,5,1,8,6,4,7] => 1010110 => [1,1,1,1,2,1] => 1023
[7,3,2,4,8,6,1,5] => 1100110 => [2,2,2,1] => 357
[8,6,1,5,7,3,2,4] => 1100110 => [2,2,2,1] => 357
[4,2,6,1,8,5,7,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,5,6,1,7,3,4,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[3,6,8,5,1,7,4,2] => 0011011 => [2,2,1,2] => 357
[8,5,1,6,7,4,2,3] => 1100110 => [2,2,2,1] => 357
[3,2,5,1,8,6,7,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[3,2,4,1,8,6,5,7] => 1010110 => [1,1,1,1,2,1] => 1023
[3,2,4,1,5,8,6,7] => 1010010 => [1,1,1,2,1,1] => 1006
[3,2,5,1,7,8,6,4] => 1010011 => [1,1,1,2,2] => 622
[7,8,5,1,6,4,2,3] => 0110110 => [1,2,1,2,1] => 603
[3,8,5,1,7,6,4,2] => 0110111 => [1,2,1,3] => 262
[3,7,5,1,8,6,4,2] => 0110111 => [1,2,1,3] => 262
[8,7,5,1,6,4,2,3] => 1110110 => [3,1,2,1] => 259
[3,2,5,1,8,7,6,4] => 1010111 => [1,1,1,1,3] => 450
[6,5,7,3,1,8,4,2] => 1011011 => [1,1,2,1,2] => 611
[4,6,3,7,1,8,5,2] => 0101011 => [1,1,1,1,1,2] => 1023
[4,6,3,7,5,1,8,2] => 0101101 => [1,1,1,2,1,1] => 1006
[4,2,6,1,7,5,3,8] => 1010110 => [1,1,1,1,2,1] => 1023
[2,5,7,4,1,6,3,8] => 0011010 => [2,2,1,1,1] => 582
[2,5,7,4,1,6,8,3] => 0011001 => [2,2,2,1] => 357
[5,4,7,3,6,1,8,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,4,7,8,3,1,6,2] => 1001101 => [1,2,2,1,1] => 594
[4,3,7,5,1,8,6,2] => 1011011 => [1,1,2,1,2] => 611
[6,4,3,8,5,1,7,2] => 1101101 => [2,1,2,1,1] => 594
[5,8,4,3,6,1,7,2] => 0110101 => [1,2,1,1,1,1] => 969
[5,4,8,3,6,1,7,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,4,3,6,7,1,8,2] => 1100101 => [2,2,1,1,1] => 582
[2,5,4,6,1,7,3,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,2,5,8,1,6,7,4] => 1001001 => [1,2,1,2,1] => 603
[2,5,4,6,8,1,7,3] => 0100101 => [1,1,2,1,1,1] => 984
[5,2,8,4,1,6,7,3] => 1011001 => [1,1,2,2,1] => 611
[4,6,2,1,8,5,7,3] => 0110101 => [1,2,1,1,1,1] => 969
[2,4,1,7,5,8,6,3] => 0101011 => [1,1,1,1,1,2] => 1023
[2,4,1,7,5,3,8,6] => 0101101 => [1,1,1,2,1,1] => 1006
[2,6,4,1,8,5,3,7] => 0110110 => [1,2,1,2,1] => 603
[5,4,8,2,1,6,3,7] => 1011010 => [1,1,2,1,1,1] => 984
[2,5,8,4,1,6,3,7] => 0011010 => [2,2,1,1,1] => 582
[3,2,5,6,1,8,4,7] => 1001010 => [1,2,1,1,1,1] => 969
[4,8,3,2,6,1,5,7] => 0110100 => [1,2,1,1,2] => 603
[3,5,2,8,1,6,4,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,2,1,6,8,5,4,7] => 1100110 => [2,2,2,1] => 357
[3,2,7,1,5,4,8,6] => 1010101 => [1,1,1,1,1,1,1] => 1623
[3,2,7,1,5,8,6,4] => 1010011 => [1,1,1,2,2] => 622
[3,8,2,5,1,6,7,4] => 0101001 => [1,1,1,1,2,1] => 1023
[4,8,3,2,6,7,1,5] => 0110010 => [1,2,2,1,1] => 594
[4,3,8,2,6,7,1,5] => 1010010 => [1,1,1,2,1,1] => 1006
[4,3,2,6,7,8,1,5] => 1100010 => [2,3,1,1] => 256
[4,3,2,6,7,1,5,8] => 1100100 => [2,2,1,2] => 357
[4,3,7,2,6,8,1,5] => 1010010 => [1,1,1,2,1,1] => 1006
[4,3,7,8,2,6,1,5] => 1001010 => [1,2,1,1,1,1] => 969
[2,5,7,4,8,1,6,3] => 0010101 => [2,1,1,1,1,1] => 969
[3,2,5,7,8,1,6,4] => 1000101 => [1,3,1,1,1] => 427
[3,2,5,7,1,6,8,4] => 1001001 => [1,2,1,2,1] => 603
[3,2,5,7,1,6,4,8] => 1001010 => [1,2,1,1,1,1] => 969
[6,3,2,7,1,5,4,8] => 1101010 => [2,1,1,1,1,1] => 969
[6,3,2,7,1,5,8,4] => 1101001 => [2,1,1,2,1] => 603
[6,3,2,7,8,1,5,4] => 1100101 => [2,2,1,1,1] => 582
[4,2,6,1,7,8,5,3] => 1010011 => [1,1,1,2,2] => 622
[6,5,2,1,7,8,4,3] => 1110011 => [3,2,2] => 153
[2,1,7,5,3,8,6,4] => 1011011 => [1,1,2,1,2] => 611
[6,2,1,8,5,3,7,4] => 1101101 => [2,1,2,1,1] => 594
[6,3,2,7,1,4,8,5] => 1101001 => [2,1,1,2,1] => 603
[6,3,2,1,4,7,8,5] => 1110001 => [3,3,1] => 110
[6,3,2,1,4,7,5,8] => 1110010 => [3,2,1,1] => 256
[3,5,2,1,7,4,6,8] => 0110100 => [1,2,1,1,2] => 603
[3,5,2,1,7,8,4,6] => 0110010 => [1,2,2,1,1] => 594
[5,8,4,2,1,7,3,6] => 0111010 => [1,3,1,1,1] => 427
[4,6,2,1,8,3,7,5] => 0110101 => [1,2,1,1,1,1] => 969
[2,4,1,7,3,8,6,5] => 0101011 => [1,1,1,1,1,2] => 1023
[3,2,7,1,4,8,6,5] => 1010011 => [1,1,1,2,2] => 622
[3,5,8,2,1,7,4,6] => 0011010 => [2,2,1,1,1] => 582
[4,8,3,7,2,1,5,6] => 0101100 => [1,1,1,2,2] => 622
[4,3,7,2,8,1,5,6] => 1010100 => [1,1,1,1,1,2] => 1023
[4,3,7,2,1,5,6,8] => 1011000 => [1,1,2,3] => 265
[4,8,3,2,7,1,5,6] => 0110100 => [1,2,1,1,2] => 603
[3,5,2,8,1,7,4,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[6,3,2,8,1,4,7,5] => 1101001 => [2,1,1,2,1] => 603
[3,2,1,4,7,5,8,6] => 1100101 => [2,2,1,1,1] => 582
[5,3,2,1,8,4,6,7] => 1110100 => [3,1,1,2] => 259
[4,8,3,2,1,5,6,7] => 0111000 => [1,3,3] => 110
[4,3,8,2,1,5,6,7] => 1011000 => [1,1,2,3] => 265
[1,9,8,7,6,5,4,3,2] => 01111111 => [1,7] => 8
[8,7,6,4,5,3,2,1,9] => 11101110 => [3,1,3,1] => 676
[1,9,8,7,5,6,4,3,2] => 01110111 => [1,3,1,3] => 676
[8,7,5,4,6,3,2,1,9] => 11101110 => [3,1,3,1] => 676
[8,7,4,6,5,3,2,1,9] => 11011110 => [2,1,4,1] => 534
[1,9,8,6,5,7,4,3,2] => 01110111 => [1,3,1,3] => 676
[1,9,8,5,7,6,4,3,2] => 01101111 => [1,2,1,4] => 534
[6,2,3,1,5,4,8,7] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,4,5,2,3,1,7,6] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,6,7,2,5,3,4,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,2,5,3,4,1,7,6] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,2,5,3,4,1,8,7] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,1,5,2,4,3,8,7] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,4,5,1,3,2,8,7] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,1,5,3,4,2,8,7] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,3,5,1,4,2,8,7] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,3,5,2,4,1,7,6] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,3,7,5,6,2,4,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,3,7,2,4,1,6,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,3,5,1,4,2,7,6] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,1,5,3,4,2,7,6] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,4,5,1,3,2,7,6] => 1010101 => [1,1,1,1,1,1,1] => 1623
[2,1,8,4,5,3,7,6] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,6,7,4,5,1,3,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,6,7,1,5,3,4,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,6,7,3,5,1,4,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,3,7,5,6,1,4,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,5,7,3,6,1,4,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,3,7,4,6,2,5,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,3,7,4,6,1,5,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,3,7,1,6,4,5,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,1,7,3,6,4,5,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,1,7,5,6,3,4,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,4,7,5,6,1,3,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[2,1,8,4,7,5,6,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,1,7,3,4,2,6,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,1,7,3,6,2,5,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,3,7,1,6,2,5,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,3,7,2,6,4,5,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,2,7,3,6,4,5,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,2,7,3,6,1,5,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,2,7,1,6,3,5,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,1,7,2,4,3,6,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,1,3,2,7,4,6,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[2,1,8,3,7,4,6,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,1,5,2,4,3,7,6] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,2,7,1,4,3,6,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,2,7,3,4,1,6,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,2,7,5,6,3,4,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,4,7,5,6,2,3,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,4,7,2,3,1,6,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,2,3,1,7,4,6,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,2,3,1,5,4,7,6] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,2,3,1,8,5,7,6] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,1,3,2,8,6,7,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,6,7,2,3,1,5,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,2,3,1,7,5,6,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,5,7,2,6,3,4,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,5,7,2,6,1,4,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,2,7,5,6,1,4,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,6,7,2,5,1,4,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,6,7,1,5,2,4,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,6,7,1,3,2,5,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[2,1,8,6,7,3,5,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[2,1,8,3,7,5,6,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,1,3,2,7,5,6,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,1,7,5,6,2,4,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,1,7,2,6,4,5,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,2,7,1,6,4,5,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,2,7,4,6,1,5,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,2,7,4,6,3,5,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,4,7,2,6,3,5,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,4,7,2,6,1,5,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,4,7,1,6,2,5,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,1,7,4,6,2,5,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,5,7,1,6,2,4,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[2,1,8,5,7,3,6,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,5,7,4,6,1,3,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,5,7,1,6,3,4,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,1,7,4,6,3,5,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,4,7,1,6,3,5,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,4,7,3,6,1,5,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[2,4,8,3,6,1,7,5] => 0010101 => [2,1,1,1,1,1] => 969
[6,5,8,1,3,2,7,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,5,8,6,3,2,7,1] => 0011101 => [2,3,1,1] => 256
[6,5,8,7,3,1,2,4] => 1011100 => [1,1,3,2] => 265
[1,5,8,7,3,6,2,4] => 0011010 => [2,2,1,1,1] => 582
[1,7,2,8,4,6,5,3] => 0101011 => [1,1,1,1,1,2] => 1023
[6,7,2,8,4,1,5,3] => 0101101 => [1,1,1,2,1,1] => 1006
[3,6,2,8,4,5,7,1] => 0101001 => [1,1,1,1,2,1] => 1023
[2,6,1,8,4,5,7,3] => 0101001 => [1,1,1,1,2,1] => 1023
[2,8,4,6,1,5,7,3] => 0101001 => [1,1,1,1,2,1] => 1023
[6,3,1,8,4,5,7,2] => 1101001 => [2,1,1,2,1] => 603
[3,1,6,8,4,5,7,2] => 1001001 => [1,2,1,2,1] => 603
[2,3,6,8,4,5,7,1] => 0001001 => [3,1,2,1] => 259
[6,3,7,8,4,1,5,2] => 1001101 => [1,2,2,1,1] => 594
[1,3,7,8,4,6,5,2] => 0001011 => [3,1,1,2] => 259
[1,5,7,8,2,4,6,3] => 0001001 => [3,1,2,1] => 259
[5,1,7,8,2,4,6,3] => 1001001 => [1,2,1,2,1] => 603
[3,6,7,8,4,2,5,1] => 0001101 => [3,2,1,1] => 256
[7,6,1,8,4,2,5,3] => 1101101 => [2,1,2,1,1] => 594
[5,6,8,7,3,2,1,4] => 0011110 => [2,4,1] => 85
[2,8,3,7,1,6,5,4] => 0101011 => [1,1,1,1,1,2] => 1023
[5,2,8,7,3,6,1,4] => 1011010 => [1,1,2,1,1,1] => 984
[7,2,1,8,4,6,5,3] => 1101011 => [2,1,1,1,2] => 603
[3,2,7,8,4,6,5,1] => 1001011 => [1,2,1,1,2] => 603
[5,2,7,8,1,4,6,3] => 1001001 => [1,2,1,2,1] => 603
[1,2,7,8,5,4,6,3] => 0001101 => [3,2,1,1] => 256
[4,2,1,3,8,5,6,7] => 1100100 => [2,2,1,2] => 357
[7,2,5,8,3,4,6,1] => 1001001 => [1,2,1,2,1] => 603
[6,2,8,5,4,3,1,7] => 1011110 => [1,1,4,1] => 148
[2,8,3,5,4,1,6,7] => 0101100 => [1,1,1,2,2] => 622
[2,8,4,5,3,1,6,7] => 0101100 => [1,1,1,2,2] => 622
[6,4,8,5,2,3,1,7] => 1011010 => [1,1,2,1,1,1] => 984
[7,3,5,8,2,4,6,1] => 1001001 => [1,2,1,2,1] => 603
[4,3,1,2,8,5,6,7] => 1100100 => [2,2,1,2] => 357
[3,4,2,1,8,5,6,7] => 0110100 => [1,2,1,1,2] => 603
[2,7,6,8,4,3,5,1] => 0101101 => [1,1,1,2,1,1] => 1006
[5,7,1,8,3,4,6,2] => 0101001 => [1,1,1,1,2,1] => 1023
[3,7,5,8,1,4,6,2] => 0101001 => [1,1,1,1,2,1] => 1023
[1,7,5,8,3,4,6,2] => 0101001 => [1,1,1,1,2,1] => 1023
[1,6,8,5,4,3,2,7] => 0011110 => [2,4,1] => 85
[4,6,8,5,1,3,2,7] => 0011010 => [2,2,1,1,1] => 582
[5,6,8,1,4,3,2,7] => 0010110 => [2,1,1,2,1] => 603
[7,5,8,6,3,4,2,1] => 1011011 => [1,1,2,1,2] => 611
[2,4,8,3,6,5,1,7] => 0010110 => [2,1,1,2,1] => 603
[2,8,4,1,5,6,3,7] => 0110010 => [1,2,2,1,1] => 594
[4,1,8,3,5,6,2,7] => 1010010 => [1,1,1,2,1,1] => 1006
[5,6,8,4,1,3,2,7] => 0011010 => [2,2,1,1,1] => 582
[4,6,8,1,5,3,2,7] => 0010110 => [2,1,1,2,1] => 603
[1,6,8,4,5,3,2,7] => 0010110 => [2,1,1,2,1] => 603
[1,7,3,8,5,4,6,2] => 0101101 => [1,1,1,2,1,1] => 1006
[3,7,1,8,5,4,6,2] => 0101101 => [1,1,1,2,1,1] => 1006
[2,7,3,8,4,6,5,1] => 0101011 => [1,1,1,1,1,2] => 1023
[7,1,3,8,4,6,5,2] => 1001011 => [1,2,1,1,2] => 603
[5,7,8,4,3,6,1,2] => 0011010 => [2,2,1,1,1] => 582
[2,8,7,4,1,6,5,3] => 0111011 => [1,3,1,2] => 259
[2,8,5,4,3,1,6,7] => 0111100 => [1,4,2] => 85
[6,5,8,4,2,3,1,7] => 1011010 => [1,1,2,1,1,1] => 984
[4,1,3,2,8,5,6,7] => 1010100 => [1,1,1,1,1,2] => 1023
[1,4,3,2,8,5,6,7] => 0110100 => [1,2,1,1,2] => 603
[7,3,2,8,5,4,6,1] => 1101101 => [2,1,2,1,1] => 594
[6,4,8,2,5,3,1,7] => 1010110 => [1,1,1,1,2,1] => 1023
[2,8,4,3,5,1,6,7] => 0110100 => [1,2,1,1,2] => 603
[2,8,3,4,5,1,6,7] => 0100100 => [1,1,2,1,2] => 611
[6,2,8,4,5,3,1,7] => 1010110 => [1,1,1,1,2,1] => 1023
[7,2,3,8,5,4,6,1] => 1001101 => [1,2,2,1,1] => 594
[4,2,3,1,8,5,6,7] => 1010100 => [1,1,1,1,1,2] => 1023
[3,2,1,4,8,5,6,7] => 1100100 => [2,2,1,2] => 357
[5,1,3,2,4,8,6,7] => 1010010 => [1,1,1,2,1,1] => 1006
[2,8,1,5,3,4,7,6] => 0101001 => [1,1,1,1,2,1] => 1023
[1,2,8,4,5,3,7,6] => 0010101 => [2,1,1,1,1,1] => 969
[1,4,2,8,5,3,6,7] => 0101100 => [1,1,1,2,2] => 622
[1,8,4,2,5,3,6,7] => 0110100 => [1,2,1,1,2] => 603
[8,1,5,3,2,4,6,7] => 1011000 => [1,1,2,3] => 265
[3,8,1,5,2,4,6,7] => 0101000 => [1,1,1,1,3] => 450
[3,5,1,4,8,2,6,7] => 0100100 => [1,1,2,1,2] => 611
[1,5,2,8,4,3,6,7] => 0101100 => [1,1,1,2,2] => 622
[1,2,8,5,4,3,6,7] => 0011100 => [2,3,2] => 153
[1,2,5,4,3,8,6,7] => 0011010 => [2,2,1,1,1] => 582
[1,2,4,8,5,3,7,6] => 0001101 => [3,2,1,1] => 256
[1,2,7,4,8,5,3,6] => 0010110 => [2,1,1,2,1] => 603
[1,5,2,7,8,4,3,6] => 0100110 => [1,1,2,2,1] => 611
[5,1,2,7,4,8,3,6] => 1001010 => [1,2,1,1,1,1] => 969
[8,3,5,1,4,7,2,6] => 1010010 => [1,1,1,2,1,1] => 1006
[2,8,1,5,4,7,3,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,2,8,5,7,4,3,6] => 0010110 => [2,1,1,2,1] => 603
[1,2,4,8,7,5,3,6] => 0001110 => [3,3,1] => 110
[2,8,1,4,3,7,6,5] => 0101011 => [1,1,1,1,1,2] => 1023
[6,1,2,8,7,4,3,5] => 1001110 => [1,2,3,1] => 262
[6,4,1,2,8,7,3,5] => 1100110 => [2,2,2,1] => 357
[3,6,4,8,1,7,2,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[7,6,1,4,2,8,3,5] => 1101010 => [2,1,1,1,1,1] => 969
[7,1,6,2,8,4,3,5] => 1010110 => [1,1,1,1,2,1] => 1023
[1,6,7,2,8,4,3,5] => 0010110 => [2,1,1,2,1] => 603
[6,7,1,4,2,8,3,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[6,3,7,1,4,8,2,5] => 1010010 => [1,1,1,2,1,1] => 1006
[3,7,8,1,5,2,4,6] => 0010100 => [2,1,1,1,2] => 603
[7,1,2,8,5,3,4,6] => 1001100 => [1,2,2,2] => 363
[1,7,2,8,4,5,3,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,4,2,7,8,5,3,6] => 0100110 => [1,1,2,2,1] => 611
[6,1,2,8,4,3,7,5] => 1001101 => [1,2,2,1,1] => 594
[6,4,1,2,8,3,7,5] => 1100101 => [2,2,1,1,1] => 582
[7,6,1,3,2,4,8,5] => 1101001 => [2,1,1,2,1] => 603
[6,7,1,3,2,4,8,5] => 0101001 => [1,1,1,1,2,1] => 1023
[1,2,7,3,5,8,4,6] => 0010010 => [2,1,2,1,1] => 594
[1,2,7,5,8,3,4,6] => 0010100 => [2,1,1,1,2] => 603
[5,8,1,3,7,2,4,6] => 0100100 => [1,1,2,1,2] => 611
[1,2,5,8,7,3,4,6] => 0001100 => [3,2,2] => 153
[1,2,5,8,3,7,4,6] => 0001010 => [3,1,1,1,1] => 427
[2,8,1,7,3,5,4,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[8,6,1,3,2,4,7,5] => 1101001 => [2,1,1,2,1] => 603
[4,2,8,1,7,3,6,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[2,8,1,7,4,3,6,5] => 0101101 => [1,1,1,2,1,1] => 1006
[7,1,2,8,4,3,6,5] => 1001101 => [1,2,2,1,1] => 594
[1,2,8,4,7,5,3,6] => 0010110 => [2,1,1,2,1] => 603
[1,2,8,7,4,5,3,6] => 0011010 => [2,2,1,1,1] => 582
[2,8,1,7,5,3,4,6] => 0101100 => [1,1,1,2,2] => 622
[8,3,7,1,5,2,4,6] => 1010100 => [1,1,1,1,1,2] => 1023
[3,8,6,1,4,7,2,5] => 0110010 => [1,2,2,1,1] => 594
[8,6,1,4,2,7,3,5] => 1101010 => [2,1,1,1,1,1] => 969
[8,1,6,2,7,4,3,5] => 1010110 => [1,1,1,1,2,1] => 1023
[7,1,2,8,6,4,3,5] => 1001110 => [1,2,3,1] => 262
[7,4,1,2,8,6,3,5] => 1100110 => [2,2,2,1] => 357
[3,7,4,8,1,6,2,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,4,8,7,1,6,2,5] => 0011010 => [2,2,1,1,1] => 582
[4,2,8,1,7,6,3,5] => 1010110 => [1,1,1,1,2,1] => 1023
[2,8,1,7,6,4,3,5] => 0101110 => [1,1,1,3,1] => 450
[7,8,3,4,1,5,2,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[7,8,3,4,1,6,2,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[6,8,3,4,1,7,2,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[6,7,3,4,1,8,2,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,7,3,4,1,8,2,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,8,3,4,1,7,2,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,8,3,4,1,6,2,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[6,8,3,4,1,5,2,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[6,7,3,4,1,5,2,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,7,3,4,1,6,2,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,6,2,8,3,4,1,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,6,2,7,3,4,1,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,6,2,8,3,5,1,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,7,3,5,1,6,2,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,8,3,5,1,6,2,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,8,3,5,1,7,2,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,7,3,5,1,8,2,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,6,2,3,1,7,4,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,6,2,4,1,8,3,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,6,2,4,1,7,3,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,6,2,5,1,7,3,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,6,2,5,1,8,3,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,5,1,8,3,7,2,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,5,1,7,3,8,2,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,6,2,7,3,8,1,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,6,2,7,3,8,1,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,6,2,7,4,8,1,3] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,6,3,8,4,7,1,2] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,6,2,8,4,7,1,3] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,6,2,8,3,7,1,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,6,2,8,3,7,1,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,5,1,7,3,6,2,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,5,1,8,3,6,2,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[9,2,1,3,4,5,6,7,8] => 11000000 => [2,6] => 28
[9,2,3,1,4,5,6,7,8] => 10100000 => [1,1,1,5] => 244
[4,2,3,5,6,7,8,9,1] => 10000001 => [1,6,1] => 50
[3,4,2,5,6,7,8,9,1] => 01000001 => [1,1,5,1] => 244
[6,5,3,2,1,4,8,7] => 1111001 => [4,2,1] => 85
[4,6,3,5,2,1,8,7] => 0101101 => [1,1,1,2,1,1] => 1006
[8,7,3,5,2,4,1,6] => 1101010 => [2,1,1,1,1,1] => 969
[6,8,2,4,5,7,3,1] => 0100011 => [1,1,3,2] => 265
[8,7,2,4,5,3,1,6] => 1100110 => [2,2,2,1] => 357
[3,6,1,4,5,2,8,7] => 0100101 => [1,1,2,1,1,1] => 984
[8,3,7,4,5,2,1,6] => 1010110 => [1,1,1,1,2,1] => 1023
[6,3,8,4,5,7,2,1] => 1010011 => [1,1,1,2,2] => 622
[5,8,7,4,3,6,2,1] => 0111011 => [1,3,1,2] => 259
[2,8,7,4,3,6,1,5] => 0111010 => [1,3,1,1,1] => 427
[8,1,7,4,3,6,2,5] => 1011010 => [1,1,2,1,1,1] => 984
[8,7,3,5,1,4,2,6] => 1101010 => [2,1,1,1,1,1] => 969
[2,1,6,8,5,7,4,3] => 1001011 => [1,2,1,1,2] => 603
[6,8,3,5,1,7,4,2] => 0101011 => [1,1,1,1,1,2] => 1023
[5,1,8,4,7,6,3,2] => 1010111 => [1,1,1,1,3] => 450
[2,5,8,4,7,6,3,1] => 0010111 => [2,1,1,3] => 262
[4,3,8,1,5,6,7,2] => 1010001 => [1,1,1,3,1] => 450
[4,8,1,3,5,6,7,2] => 0100001 => [1,1,4,1] => 148
[5,8,7,4,1,6,3,2] => 0111011 => [1,3,1,2] => 259
[5,8,3,6,1,4,7,2] => 0101001 => [1,1,1,1,2,1] => 1023
[4,8,3,6,1,2,7,5] => 0101001 => [1,1,1,1,2,1] => 1023
[3,8,7,4,1,6,2,5] => 0111010 => [1,3,1,1,1] => 427
[3,8,1,2,5,6,7,4] => 0100001 => [1,1,4,1] => 148
[8,7,1,4,2,6,3,5] => 1101010 => [2,1,1,1,1,1] => 969
[8,6,3,1,2,4,7,5] => 1110001 => [3,3,1] => 110
[8,1,7,4,5,2,3,6] => 1010100 => [1,1,1,1,1,2] => 1023
[2,8,7,4,5,1,3,6] => 0110100 => [1,2,1,1,2] => 603
[8,7,2,4,1,6,3,5] => 1101010 => [2,1,1,1,1,1] => 969
[5,8,3,6,2,4,7,1] => 0101001 => [1,1,1,1,2,1] => 1023
[8,6,3,2,1,4,7,5] => 1111001 => [4,2,1] => 85
[8,7,3,5,2,1,4,6] => 1101100 => [2,1,2,2] => 363
[5,8,3,6,2,1,7,4] => 0101101 => [1,1,1,2,1,1] => 1006
[5,8,7,4,2,6,1,3] => 0111010 => [1,3,1,1,1] => 427
[2,6,8,4,5,7,1,3] => 0010010 => [2,1,2,1,1] => 594
[6,1,8,4,5,7,2,3] => 1010010 => [1,1,1,2,1,1] => 1006
[6,8,3,5,1,7,2,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,1,5,8,3,6,7,4] => 1001001 => [1,2,1,2,1] => 603
[5,8,3,6,1,2,7,4] => 0101001 => [1,1,1,1,2,1] => 1023
[4,1,8,2,5,6,7,3] => 1010001 => [1,1,1,3,1] => 450
[2,4,8,1,5,6,7,3] => 0010001 => [2,1,3,1] => 262
[4,8,2,1,5,6,7,3] => 0110001 => [1,2,3,1] => 262
[3,4,8,2,5,6,7,1] => 0010001 => [2,1,3,1] => 262
[5,8,1,4,7,6,2,3] => 0100110 => [1,1,2,2,1] => 611
[5,8,3,1,6,2,7,4] => 0110101 => [1,2,1,1,1,1] => 969
[4,5,3,8,6,1,7,2] => 0101101 => [1,1,1,2,1,1] => 1006
[3,4,1,8,5,6,7,2] => 0101001 => [1,1,1,1,2,1] => 1023
[4,5,7,6,2,3,8,1] => 0011001 => [2,2,2,1] => 357
[3,5,7,2,6,4,8,1] => 0010101 => [2,1,1,1,1,1] => 969
[2,5,7,3,6,4,8,1] => 0010101 => [2,1,1,1,1,1] => 969
[1,5,7,3,6,8,4,2] => 0010011 => [2,1,2,2] => 363
[8,4,3,7,6,1,5,2] => 1101101 => [2,1,2,1,1] => 594
[6,7,2,3,5,4,8,1] => 0100101 => [1,1,2,1,1,1] => 984
[5,2,7,3,6,4,8,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,3,4,7,6,1,5,2] => 1001101 => [1,2,2,1,1] => 594
[8,2,4,7,1,6,5,3] => 1001011 => [1,2,1,1,2] => 603
[3,1,4,7,6,8,5,2] => 1001011 => [1,2,1,1,2] => 603
[4,1,3,7,6,8,5,2] => 1001011 => [1,2,1,1,2] => 603
[5,1,7,3,6,8,4,2] => 1010011 => [1,1,1,2,2] => 622
[6,7,1,3,5,8,4,2] => 0100011 => [1,1,3,2] => 265
[5,8,7,3,6,1,4,2] => 0110101 => [1,2,1,1,1,1] => 969
[4,8,3,7,6,1,5,2] => 0101101 => [1,1,1,2,1,1] => 1006
[3,8,4,7,6,1,5,2] => 0101101 => [1,1,1,2,1,1] => 1006
[2,8,4,7,1,6,5,3] => 0101011 => [1,1,1,1,1,2] => 1023
[8,1,4,7,2,6,5,3] => 1001011 => [1,2,1,1,2] => 603
[8,1,3,2,7,6,5,4] => 1010111 => [1,1,1,1,3] => 450
[2,8,3,1,7,6,5,4] => 0110111 => [1,2,1,3] => 262
[3,8,2,1,7,6,5,4] => 0110111 => [1,2,1,3] => 262
[6,7,1,2,8,5,4,3] => 0100111 => [1,1,2,3] => 265
[8,2,3,1,7,6,5,4] => 1010111 => [1,1,1,1,3] => 450
[8,3,2,1,7,6,5,4] => 1110111 => [3,1,3] => 110
[3,4,1,7,6,8,5,2] => 0101011 => [1,1,1,1,1,2] => 1023
[1,4,2,7,8,6,5,3] => 0100111 => [1,1,2,3] => 265
[8,4,2,7,1,6,5,3] => 1101011 => [2,1,1,1,2] => 603
[8,5,7,2,1,6,4,3] => 1011011 => [1,1,2,1,2] => 611
[1,5,7,2,8,6,4,3] => 0010111 => [2,1,1,3] => 262
[2,5,7,1,8,6,4,3] => 0010111 => [2,1,1,3] => 262
[3,5,7,1,6,8,4,2] => 0010011 => [2,1,2,2] => 363
[6,7,4,5,8,1,3,2] => 0100101 => [1,1,2,1,1,1] => 984
[5,4,7,6,8,1,3,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[2,5,7,8,1,6,4,3] => 0001011 => [3,1,1,2] => 259
[1,5,7,8,2,6,4,3] => 0001011 => [3,1,1,2] => 259
[8,5,7,1,2,6,4,3] => 1010011 => [1,1,1,2,2] => 622
[8,4,1,7,2,6,5,3] => 1101011 => [2,1,1,1,2] => 603
[1,4,8,7,2,6,5,3] => 0011011 => [2,2,1,2] => 357
[3,4,8,7,6,1,5,2] => 0011101 => [2,3,1,1] => 256
[4,3,8,7,6,1,5,2] => 1011101 => [1,1,3,1,1] => 439
[5,3,7,8,6,1,4,2] => 1001101 => [1,2,2,1,1] => 594
[6,7,2,8,1,5,4,3] => 0101011 => [1,1,1,1,1,2] => 1023
[5,2,7,8,1,6,4,3] => 1001011 => [1,2,1,1,2] => 603
[4,2,8,7,1,6,5,3] => 1011011 => [1,1,2,1,2] => 611
[3,2,8,1,7,6,5,4] => 1010111 => [1,1,1,1,3] => 450
[1,3,8,2,7,6,5,4] => 0010111 => [2,1,1,3] => 262
[8,3,1,2,7,6,5,4] => 1100111 => [2,2,3] => 153
[8,2,1,3,7,6,5,4] => 1100111 => [2,2,3] => 153
[1,2,8,3,7,6,5,4] => 0010111 => [2,1,1,3] => 262
[2,1,8,3,7,6,5,4] => 1010111 => [1,1,1,1,3] => 450
[4,1,8,7,2,6,5,3] => 1011011 => [1,1,2,1,2] => 611
[5,1,7,8,2,6,4,3] => 1001011 => [1,2,1,1,2] => 603
[6,7,1,8,2,5,4,3] => 0101011 => [1,1,1,1,1,2] => 1023
[5,8,7,1,2,6,4,3] => 0110011 => [1,2,2,2] => 363
[4,8,1,7,2,6,5,3] => 0101011 => [1,1,1,1,1,2] => 1023
[3,8,1,2,7,6,5,4] => 0100111 => [1,1,2,3] => 265
[2,8,1,3,7,6,5,4] => 0100111 => [1,1,2,3] => 265
[1,8,2,3,7,6,5,4] => 0100111 => [1,1,2,3] => 265
[8,1,2,3,7,6,5,4] => 1000111 => [1,3,3] => 110
[6,7,1,8,4,5,2,3] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,7,1,5,8,2,6,4] => 0100101 => [1,1,2,1,1,1] => 984
[2,7,1,5,8,3,6,4] => 0100101 => [1,1,2,1,1,1] => 984
[2,6,5,1,8,3,7,4] => 0110101 => [1,2,1,1,1,1] => 969
[3,6,5,1,8,2,7,4] => 0110101 => [1,2,1,1,1,1] => 969
[4,6,5,1,8,7,2,3] => 0110110 => [1,2,1,2,1] => 603
[5,6,4,1,8,7,2,3] => 0110110 => [1,2,1,2,1] => 603
[8,1,4,5,7,6,2,3] => 1000110 => [1,3,2,1] => 259
[6,4,5,1,8,7,2,3] => 1010110 => [1,1,1,1,2,1] => 1023
[5,4,6,1,8,7,2,3] => 1010110 => [1,1,1,1,2,1] => 1023
[4,5,6,1,8,7,2,3] => 0010110 => [2,1,1,2,1] => 603
[3,5,6,1,8,2,7,4] => 0010101 => [2,1,1,1,1,1] => 969
[2,5,6,1,8,3,7,4] => 0010101 => [2,1,1,1,1,1] => 969
[2,4,6,1,3,8,7,5] => 0010011 => [2,1,2,2] => 363
[3,4,6,1,2,8,7,5] => 0010011 => [2,1,2,2] => 363
[4,3,6,1,2,8,7,5] => 1010011 => [1,1,1,2,2] => 622
[5,3,6,1,8,2,7,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,3,1,5,8,2,6,4] => 1100101 => [2,2,1,1,1] => 582
[8,1,3,5,7,2,6,4] => 1000101 => [1,3,1,1,1] => 427
[8,1,2,5,7,3,6,4] => 1000101 => [1,3,1,1,1] => 427
[7,2,1,5,8,3,6,4] => 1100101 => [2,2,1,1,1] => 582
[6,2,5,1,8,3,7,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,2,6,1,3,8,7,5] => 1010011 => [1,1,1,2,2] => 622
[2,3,6,1,4,8,7,5] => 0010011 => [2,1,2,2] => 363
[4,2,5,3,1,8,7,6] => 1011011 => [1,1,2,1,2] => 611
[6,2,4,1,3,8,7,5] => 1010011 => [1,1,1,2,2] => 622
[7,2,1,4,3,8,6,5] => 1101011 => [2,1,1,1,2] => 603
[8,1,2,4,3,7,6,5] => 1001011 => [1,2,1,1,2] => 603
[8,1,3,4,2,7,6,5] => 1001011 => [1,2,1,1,2] => 603
[7,3,1,4,2,8,6,5] => 1101011 => [2,1,1,1,2] => 603
[6,3,4,1,2,8,7,5] => 1010011 => [1,1,1,2,2] => 622
[4,6,3,1,2,8,7,5] => 0110011 => [1,2,2,2] => 363
[3,6,4,1,2,8,7,5] => 0110011 => [1,2,2,2] => 363
[2,6,4,1,3,8,7,5] => 0110011 => [1,2,2,2] => 363
[2,7,1,4,3,8,6,5] => 0101011 => [1,1,1,1,1,2] => 1023
[3,7,1,4,2,8,6,5] => 0101011 => [1,1,1,1,1,2] => 1023
[4,7,1,3,2,8,6,5] => 0101011 => [1,1,1,1,1,2] => 1023
[8,1,6,7,2,3,5,4] => 1001001 => [1,2,1,2,1] => 603
[4,7,1,2,3,8,6,5] => 0100011 => [1,1,3,2] => 265
[3,7,1,2,4,8,6,5] => 0100011 => [1,1,3,2] => 265
[2,7,1,3,4,8,6,5] => 0100011 => [1,1,3,2] => 265
[2,6,3,1,4,8,7,5] => 0110011 => [1,2,2,2] => 363
[3,6,2,1,4,8,7,5] => 0110011 => [1,2,2,2] => 363
[5,6,2,1,8,3,7,4] => 0110101 => [1,2,1,1,1,1] => 969
[6,5,2,1,8,3,7,4] => 1110101 => [3,1,1,1,1] => 427
[8,1,5,2,7,3,6,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,1,4,2,3,7,6,5] => 1010011 => [1,1,1,2,2] => 622
[7,4,1,2,3,8,6,5] => 1100011 => [2,3,2] => 153
[6,4,2,1,3,8,7,5] => 1110011 => [3,2,2] => 153
[5,4,2,3,1,8,7,6] => 1101011 => [2,1,1,1,2] => 603
[3,5,2,4,1,8,7,6] => 0101011 => [1,1,1,1,1,2] => 1023
[6,3,2,1,4,8,7,5] => 1110011 => [3,2,2] => 153
[7,3,1,2,4,8,6,5] => 1100011 => [2,3,2] => 153
[8,1,3,2,4,7,6,5] => 1010011 => [1,1,1,2,2] => 622
[8,1,2,3,4,7,6,5] => 1000011 => [1,4,2] => 85
[7,2,1,3,4,8,6,5] => 1100011 => [2,3,2] => 153
[6,2,3,1,4,8,7,5] => 1010011 => [1,1,1,2,2] => 622
[2,4,3,6,1,5,8,7] => 0101001 => [1,1,1,1,2,1] => 1023
[2,4,3,6,5,8,1,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,4,6,3,5,8,7,1] => 0010011 => [2,1,2,2] => 363
[2,4,6,3,5,8,1,7] => 0010010 => [2,1,2,1,1] => 594
[2,4,6,3,5,1,8,7] => 0010101 => [2,1,1,1,1,1] => 969
[2,4,6,3,1,5,8,7] => 0011001 => [2,2,2,1] => 357
[2,4,1,6,5,3,8,7] => 0101101 => [1,1,1,2,1,1] => 1006
[2,4,6,1,5,3,8,7] => 0010101 => [2,1,1,1,1,1] => 969
[4,2,6,5,3,1,8,7] => 1011101 => [1,1,3,1,1] => 439
[4,2,6,5,1,3,8,7] => 1011001 => [1,1,2,2,1] => 611
[4,2,6,5,1,8,7,3] => 1011011 => [1,1,2,1,2] => 611
[4,2,6,5,8,1,7,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,2,6,5,8,1,3,7] => 1010100 => [1,1,1,1,1,2] => 1023
[4,2,6,5,8,3,1,7] => 1010110 => [1,1,1,1,2,1] => 1023
[2,4,6,1,5,8,3,7] => 0010010 => [2,1,2,1,1] => 594
[2,4,1,6,5,8,3,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,1,4,6,5,8,3,7] => 1001010 => [1,2,1,1,1,1] => 969
[2,4,1,6,5,8,7,3] => 0101011 => [1,1,1,1,1,2] => 1023
[2,4,6,1,5,8,7,3] => 0010011 => [2,1,2,2] => 363
[4,2,6,5,3,8,7,1] => 1011011 => [1,1,2,1,2] => 611
[4,2,6,5,8,3,7,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[2,6,4,3,8,7,1,5] => 0110110 => [1,2,1,2,1] => 603
[2,6,4,3,8,7,5,1] => 0110111 => [1,2,1,3] => 262
[4,2,6,8,5,3,7,1] => 1001101 => [1,2,2,1,1] => 594
[2,4,6,8,1,5,7,3] => 0001001 => [3,1,2,1] => 259
[2,4,6,1,8,5,7,3] => 0010101 => [2,1,1,1,1,1] => 969
[2,4,1,6,8,5,7,3] => 0100101 => [1,1,2,1,1,1] => 984
[2,1,4,6,8,5,7,3] => 1000101 => [1,3,1,1,1] => 427
[2,1,4,6,8,5,3,7] => 1000110 => [1,3,2,1] => 259
[2,4,1,6,8,5,3,7] => 0100110 => [1,1,2,2,1] => 611
[2,4,6,1,8,5,3,7] => 0010110 => [2,1,1,2,1] => 603
[2,4,6,8,1,5,3,7] => 0001010 => [3,1,1,1,1] => 427
[4,2,6,8,5,3,1,7] => 1001110 => [1,2,3,1] => 262
[4,2,6,8,5,1,3,7] => 1001100 => [1,2,2,2] => 363
[4,2,6,8,5,1,7,3] => 1001101 => [1,2,2,1,1] => 594
[2,4,6,8,3,5,7,1] => 0001001 => [3,1,2,1] => 259
[2,4,6,8,3,5,1,7] => 0001010 => [3,1,1,1,1] => 427
[2,4,6,8,3,1,5,7] => 0001100 => [3,2,2] => 153
[2,4,6,3,1,8,5,7] => 0011010 => [2,2,1,1,1] => 582
[2,4,6,3,8,1,5,7] => 0010100 => [2,1,1,1,2] => 603
[2,4,6,3,8,5,1,7] => 0010110 => [2,1,1,2,1] => 603
[2,4,6,3,8,5,7,1] => 0010101 => [2,1,1,1,1,1] => 969
[2,4,3,6,8,5,7,1] => 0100101 => [1,1,2,1,1,1] => 984
[2,4,3,6,8,5,1,7] => 0100110 => [1,1,2,2,1] => 611
[2,4,3,6,8,1,5,7] => 0100100 => [1,1,2,1,2] => 611
[2,4,3,6,1,8,5,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,4,3,1,6,8,5,7] => 0110010 => [1,2,2,1,1] => 594
[2,4,1,3,6,8,7,5] => 0100011 => [1,1,3,2] => 265
[2,4,3,6,1,8,7,5] => 0101011 => [1,1,1,1,1,2] => 1023
[2,4,3,6,8,1,7,5] => 0100101 => [1,1,2,1,1,1] => 984
[4,6,5,2,8,7,3,1] => 0110111 => [1,2,1,3] => 262
[4,6,5,2,8,7,1,3] => 0110110 => [1,2,1,2,1] => 603
[4,6,2,5,8,7,1,3] => 0100110 => [1,1,2,2,1] => 611
[4,6,2,5,8,7,3,1] => 0100111 => [1,1,2,3] => 265
[2,4,6,3,8,1,7,5] => 0010101 => [2,1,1,1,1,1] => 969
[2,4,6,3,1,8,7,5] => 0011011 => [2,2,1,2] => 357
[2,4,1,6,3,8,7,5] => 0101011 => [1,1,1,1,1,2] => 1023
[2,1,4,6,3,8,7,5] => 1001011 => [1,2,1,1,2] => 603
[2,1,4,6,8,3,7,5] => 1000101 => [1,3,1,1,1] => 427
[2,4,1,6,8,3,7,5] => 0100101 => [1,1,2,1,1,1] => 984
[2,4,6,1,8,3,7,5] => 0010101 => [2,1,1,1,1,1] => 969
[2,4,6,8,1,3,7,5] => 0001001 => [3,1,2,1] => 259
[2,4,6,8,3,1,7,5] => 0001101 => [3,2,1,1] => 256
[4,6,2,8,5,7,3,1] => 0101011 => [1,1,1,1,1,2] => 1023
[4,6,2,8,5,7,1,3] => 0101010 => [1,1,1,1,1,1,1] => 1623
[6,2,4,8,7,1,3,5] => 1001100 => [1,2,2,2] => 363
[6,4,2,8,7,5,3,1] => 1101111 => [2,1,4] => 85
[2,6,4,8,1,7,5,3] => 0101011 => [1,1,1,1,1,2] => 1023
[2,6,4,1,8,7,5,3] => 0110111 => [1,2,1,3] => 262
[2,6,1,4,8,7,5,3] => 0100111 => [1,1,2,3] => 265
[2,1,6,4,8,7,5,3] => 1010111 => [1,1,1,1,3] => 450
[2,1,6,4,8,7,3,5] => 1010110 => [1,1,1,1,2,1] => 1023
[2,6,1,4,8,7,3,5] => 0100110 => [1,1,2,2,1] => 611
[2,6,4,1,8,7,3,5] => 0110110 => [1,2,1,2,1] => 603
[2,6,4,8,1,7,3,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[6,4,2,8,7,5,1,3] => 1101110 => [2,1,3,1] => 262
[6,2,4,8,7,3,5,1] => 1001101 => [1,2,2,1,1] => 594
[6,2,4,8,7,3,1,5] => 1001110 => [1,2,3,1] => 262
[1,6,4,7,3,8,2,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,3,7,4,5,8,2,6] => 0010010 => [2,1,2,1,1] => 594
[5,2,4,7,3,6,8,1] => 1001001 => [1,2,1,2,1] => 603
[1,7,6,3,4,8,2,5] => 0110010 => [1,2,2,1,1] => 594
[8,1,6,3,7,2,4,5] => 1010100 => [1,1,1,1,1,2] => 1023
[7,1,6,3,8,2,4,5] => 1010100 => [1,1,1,1,1,2] => 1023
[1,2,7,4,8,3,5,6] => 0010100 => [2,1,1,1,2] => 603
[6,1,7,3,4,8,2,5] => 1010010 => [1,1,1,2,1,1] => 1006
[2,1,7,4,5,8,3,6] => 1010010 => [1,1,1,2,1,1] => 1006
[5,1,4,7,3,8,2,6] => 1001010 => [1,2,1,1,1,1] => 969
[4,3,1,7,5,8,2,6] => 1101010 => [2,1,1,1,1,1] => 969
[2,8,6,3,7,1,4,5] => 0110100 => [1,2,1,1,2] => 603
[6,8,1,3,7,2,4,5] => 0100100 => [1,1,2,1,2] => 611
[5,8,2,1,7,3,4,6] => 0110100 => [1,2,1,1,2] => 603
[5,7,2,1,8,3,4,6] => 0110100 => [1,2,1,1,2] => 603
[6,7,1,3,8,2,4,5] => 0100100 => [1,1,2,1,2] => 611
[5,1,2,4,8,3,6,7] => 1000100 => [1,3,1,2] => 259
[4,3,6,1,5,8,2,7] => 1010010 => [1,1,1,2,1,1] => 1006
[2,6,1,4,5,8,3,7] => 0100010 => [1,1,3,1,1] => 439
[6,5,1,3,4,8,2,7] => 1100010 => [2,3,1,1] => 256
[1,6,2,4,8,3,5,7] => 0100100 => [1,1,2,1,2] => 611
[8,5,1,3,7,2,4,6] => 1100100 => [2,2,1,2] => 357
[1,5,3,2,8,4,6,7] => 0110100 => [1,2,1,1,2] => 603
[6,4,2,1,5,8,3,7] => 1110010 => [3,2,1,1] => 256
[2,5,3,4,1,8,6,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,3,5,2,1,8,6,7] => 1011010 => [1,1,2,1,1,1] => 984
[2,6,4,8,7,1,3,5] => 0101100 => [1,1,1,2,2] => 622
[1,6,4,8,7,2,3,5] => 0101100 => [1,1,1,2,2] => 622
[2,7,8,3,6,1,4,5] => 0010100 => [2,1,1,1,2] => 603
[4,3,2,8,7,1,5,6] => 1101100 => [2,1,2,2] => 363
[5,2,4,8,7,1,3,6] => 1001100 => [1,2,2,2] => 363
[6,2,8,3,7,1,4,5] => 1010100 => [1,1,1,1,1,2] => 1023
[5,1,4,8,7,2,3,6] => 1001100 => [1,2,2,2] => 363
[4,8,2,5,1,3,7,6] => 0101001 => [1,1,1,1,2,1] => 1023
[4,7,2,5,1,3,8,6] => 0101001 => [1,1,1,1,2,1] => 1023
[3,7,2,1,5,4,8,6] => 0110101 => [1,2,1,1,1,1] => 969
[3,8,2,1,5,4,7,6] => 0110101 => [1,2,1,1,1,1] => 969
[8,3,2,1,5,4,6,7] => 1110100 => [3,1,1,2] => 259
[8,3,2,1,6,4,5,7] => 1110100 => [3,1,1,2] => 259
[8,4,2,5,1,6,3,7] => 1101010 => [2,1,1,1,1,1] => 969
[8,3,2,1,5,6,4,7] => 1110010 => [3,2,1,1] => 256
[8,3,2,1,4,6,5,7] => 1110010 => [3,2,1,1] => 256
[3,8,2,1,4,5,7,6] => 0110001 => [1,2,3,1] => 262
[3,7,2,1,4,5,8,6] => 0110001 => [1,2,3,1] => 262
[3,2,7,1,4,6,8,5] => 1010001 => [1,1,1,3,1] => 450
[3,2,8,1,4,6,7,5] => 1010001 => [1,1,1,3,1] => 450
[3,2,8,1,4,7,6,5] => 1010011 => [1,1,1,2,2] => 622
[3,8,2,1,4,7,5,6] => 0110010 => [1,2,2,1,1] => 594
[3,8,2,1,5,7,4,6] => 0110010 => [1,2,2,1,1] => 594
[4,8,2,5,1,7,3,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,7,2,5,1,8,3,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,7,2,1,5,8,4,6] => 0110010 => [1,2,2,1,1] => 594
[3,7,2,1,4,8,5,6] => 0110010 => [1,2,2,1,1] => 594
[3,2,1,7,5,8,6,4] => 1101011 => [2,1,1,1,2] => 603
[3,2,7,1,6,8,4,5] => 1010010 => [1,1,1,2,1,1] => 1006
[4,2,7,6,1,8,3,5] => 1011010 => [1,1,2,1,1,1] => 984
[4,3,7,6,8,1,2,5] => 1010100 => [1,1,1,1,1,2] => 1023
[4,3,8,6,7,1,2,5] => 1010100 => [1,1,1,1,1,2] => 1023
[4,2,8,6,1,7,3,5] => 1011010 => [1,1,2,1,1,1] => 984
[3,2,8,1,6,7,4,5] => 1010010 => [1,1,1,2,1,1] => 1006
[3,2,1,8,7,5,6,4] => 1101101 => [2,1,2,1,1] => 594
[3,8,2,1,7,4,5,6] => 0110100 => [1,2,1,1,2] => 603
[3,2,8,1,7,4,6,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[3,2,8,1,6,4,7,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[3,2,7,1,6,4,8,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,2,7,6,1,3,8,5] => 1011001 => [1,1,2,2,1] => 611
[4,2,8,6,1,3,7,5] => 1011001 => [1,1,2,2,1] => 611
[4,2,8,7,1,3,6,5] => 1011001 => [1,1,2,2,1] => 611
[5,7,8,3,4,1,2,6] => 0010100 => [2,1,1,1,2] => 603
[4,2,7,8,1,3,6,5] => 1001001 => [1,2,1,2,1] => 603
[4,2,6,8,1,3,7,5] => 1001001 => [1,2,1,2,1] => 603
[4,2,6,7,1,3,8,5] => 1001001 => [1,2,1,2,1] => 603
[3,2,6,1,8,4,7,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[3,7,2,1,8,4,5,6] => 0110100 => [1,2,1,1,2] => 603
[3,7,2,1,8,5,4,6] => 0110110 => [1,2,1,2,1] => 603
[4,7,3,8,5,1,2,6] => 0101100 => [1,1,1,2,2] => 622
[4,3,7,8,6,1,2,5] => 1001100 => [1,2,2,2] => 363
[3,2,7,1,8,6,4,5] => 1010110 => [1,1,1,1,2,1] => 1023
[3,2,1,6,8,5,7,4] => 1100101 => [2,2,1,1,1] => 582
[3,2,6,1,8,7,4,5] => 1010110 => [1,1,1,1,2,1] => 1023
[4,2,6,8,1,7,3,5] => 1001010 => [1,2,1,1,1,1] => 969
[4,3,6,8,7,1,2,5] => 1001100 => [1,2,2,2] => 363
[4,2,6,7,1,8,3,5] => 1001010 => [1,2,1,1,1,1] => 969
[3,2,6,1,7,8,4,5] => 1010010 => [1,1,1,2,1,1] => 1006
[3,4,6,8,7,5,1,2] => 0001110 => [3,3,1] => 110
[5,3,6,4,8,7,1,2] => 1010110 => [1,1,1,1,2,1] => 1023
[1,4,6,2,7,8,5,3] => 0010011 => [2,1,2,2] => 363
[3,1,8,5,4,2,6,7] => 1011100 => [1,1,3,2] => 265
[1,2,7,5,4,8,6,3] => 0011011 => [2,2,1,2] => 357
[6,3,7,5,4,8,1,2] => 1011010 => [1,1,2,1,1,1] => 984
[7,3,8,5,4,6,1,2] => 1011010 => [1,1,2,1,1,1] => 984
[3,8,7,5,4,6,1,2] => 0111010 => [1,3,1,1,1] => 427
[4,3,6,7,8,5,1,2] => 1000110 => [1,3,2,1] => 259
[4,5,6,3,8,7,1,2] => 0010110 => [2,1,1,2,1] => 603
[3,6,8,5,4,7,1,2] => 0011010 => [2,2,1,1,1] => 582
[6,8,3,5,4,7,1,2] => 0101010 => [1,1,1,1,1,1,1] => 1623
[7,6,3,5,4,8,1,2] => 1101010 => [2,1,1,1,1,1] => 969
[1,6,2,5,4,8,7,3] => 0101011 => [1,1,1,1,1,2] => 1023
[7,1,2,5,8,3,6,4] => 1000101 => [1,3,1,1,1] => 427
[1,8,2,5,7,3,6,4] => 0100101 => [1,1,2,1,1,1] => 984
[6,2,1,5,4,8,7,3] => 1101011 => [2,1,1,1,2] => 603
[4,1,6,2,8,7,5,3] => 1010111 => [1,1,1,1,3] => 450
[7,8,1,2,4,6,5,3] => 0100011 => [1,1,3,2] => 265
[7,8,3,1,4,2,6,5] => 0110101 => [1,2,1,1,1,1] => 969
[4,3,6,1,8,2,7,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[2,3,8,5,4,1,6,7] => 0011100 => [2,3,2] => 153
[4,8,1,5,2,3,7,6] => 0101001 => [1,1,1,1,2,1] => 1023
[7,5,1,6,4,3,2,8] => 1101110 => [2,1,3,1] => 262
[5,8,1,6,4,3,2,7] => 0101110 => [1,1,1,3,1] => 450
[6,1,5,7,4,3,2,8] => 1001110 => [1,2,3,1] => 262
[1,5,8,6,4,3,2,7] => 0011110 => [2,4,1] => 85
[3,4,6,1,5,8,2,7] => 0010010 => [2,1,2,1,1] => 594
[7,8,4,1,5,3,2,6] => 0110110 => [1,2,1,2,1] => 603
[7,8,5,1,6,3,2,4] => 0110110 => [1,2,1,2,1] => 603
[2,6,1,5,7,3,8,4] => 0100101 => [1,1,2,1,1,1] => 984
[1,6,8,7,4,3,2,5] => 0011110 => [2,4,1] => 85
[6,8,1,7,4,3,2,5] => 0101110 => [1,1,1,3,1] => 450
[5,6,1,7,4,3,2,8] => 0101110 => [1,1,1,3,1] => 450
[5,1,7,6,4,3,2,8] => 1011110 => [1,1,4,1] => 148
[6,1,7,8,4,3,2,5] => 1001110 => [1,2,3,1] => 262
[7,1,8,6,4,3,2,5] => 1011110 => [1,1,4,1] => 148
[1,8,7,6,4,3,2,5] => 0111110 => [1,5,1] => 37
[2,1,7,5,6,3,8,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[3,1,6,7,5,8,2,4] => 1001010 => [1,2,1,1,1,1] => 969
[7,8,1,6,5,3,2,4] => 0101110 => [1,1,1,3,1] => 450
[7,8,2,1,4,5,6,3] => 0110001 => [1,2,3,1] => 262
[2,8,1,5,4,6,7,3] => 0101001 => [1,1,1,1,2,1] => 1023
[7,2,1,5,4,6,8,3] => 1101001 => [2,1,1,2,1] => 603
[1,2,8,5,6,3,7,4] => 0010101 => [2,1,1,1,1,1] => 969
[6,1,2,5,7,3,8,4] => 1000101 => [1,3,1,1,1] => 427
[4,2,1,5,6,3,7,8] => 1100100 => [2,2,1,2] => 357
[4,3,6,1,5,7,2,8] => 1010010 => [1,1,1,2,1,1] => 1006
[5,1,6,3,7,8,2,4] => 1010010 => [1,1,1,2,1,1] => 1006
[1,3,6,8,5,7,2,4] => 0001010 => [3,1,1,1,1] => 427
[2,4,6,3,7,1,8,5] => 0010101 => [2,1,1,1,1,1] => 969
[1,3,6,4,8,7,2,5] => 0010110 => [2,1,1,2,1] => 603
[4,1,6,7,3,8,2,5] => 1001010 => [1,2,1,1,1,1] => 969
[5,4,6,1,3,7,2,8] => 1010010 => [1,1,1,2,1,1] => 1006
[6,4,1,5,2,3,7,8] => 1101000 => [2,1,1,3] => 262
[4,1,7,5,2,3,8,6] => 1011001 => [1,1,2,2,1] => 611
[1,2,4,5,8,3,7,6] => 0000101 => [4,1,1,1] => 145
[7,2,3,5,4,1,8,6] => 1001101 => [1,2,2,1,1] => 594
[2,8,3,5,4,1,7,6] => 0101101 => [1,1,1,2,1,1] => 1006
[4,2,6,3,8,1,7,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,8,2,3,4,1,6,5] => 0100101 => [1,1,2,1,1,1] => 984
[7,8,1,4,6,3,2,5] => 0100110 => [1,1,2,2,1] => 611
[3,1,6,4,7,8,2,5] => 1010010 => [1,1,1,2,1,1] => 1006
[1,8,5,7,4,3,2,6] => 0101110 => [1,1,1,3,1] => 450
[7,1,5,8,4,3,2,6] => 1001110 => [1,2,3,1] => 262
[5,1,8,7,4,3,2,6] => 1011110 => [1,1,4,1] => 148
[6,5,1,8,4,3,2,7] => 1101110 => [2,1,3,1] => 262
[6,5,7,1,4,3,2,8] => 1010110 => [1,1,1,1,2,1] => 1023
[7,5,8,1,4,3,2,6] => 1010110 => [1,1,1,1,2,1] => 1023
[5,8,7,1,4,3,2,6] => 0110110 => [1,2,1,2,1] => 603
[1,5,7,8,4,3,2,6] => 0001110 => [3,3,1] => 110
[2,4,7,5,1,3,8,6] => 0011001 => [2,2,2,1] => 357
[7,8,4,6,1,3,2,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[7,8,5,4,1,3,2,6] => 0111010 => [1,3,1,1,1] => 427
[3,5,6,4,1,8,2,7] => 0011010 => [2,2,1,1,1] => 582
[2,6,4,5,1,3,8,7] => 0101001 => [1,1,1,1,2,1] => 1023
[1,6,5,8,4,3,2,7] => 0101110 => [1,1,1,3,1] => 450
[6,8,5,1,4,3,2,7] => 0110110 => [1,2,1,2,1] => 603
[7,6,5,1,4,3,2,8] => 1110110 => [3,1,2,1] => 259
[1,2,3,4,5,6,9,7,8] => 00000010 => [6,1,1] => 50
[1,2,3,4,5,8,6,9,7] => 00000101 => [5,1,1,1] => 240
[1,2,3,4,7,5,8,9,6] => 00001001 => [4,1,2,1] => 526
[1,2,3,6,4,7,8,9,5] => 00010001 => [3,1,3,1] => 676
[1,2,5,3,6,7,8,9,4] => 00100001 => [2,1,4,1] => 534
[1,4,2,5,6,7,8,9,3] => 01000001 => [1,1,5,1] => 244
[9,8,1,2,3,4,5,6,7] => 11000000 => [2,6] => 28
[7,8,9,1,2,3,4,5,6] => 00100000 => [2,1,5] => 138
[9,8,7,1,2,3,4,5,6] => 11100000 => [3,5] => 56
[6,7,8,9,1,2,3,4,5] => 00010000 => [3,1,4] => 220
[9,6,7,8,1,2,3,4,5] => 10010000 => [1,2,1,4] => 534
[8,9,6,7,1,2,3,4,5] => 01010000 => [1,1,1,1,4] => 934
[9,8,6,7,1,2,3,4,5] => 11010000 => [2,1,1,4] => 534
[9,8,7,6,1,2,3,4,5] => 11110000 => [4,4] => 70
[9,5,6,7,8,1,2,3,4] => 10001000 => [1,3,1,3] => 676
[8,9,5,6,7,1,2,3,4] => 01001000 => [1,1,2,1,3] => 1626
[9,8,5,6,7,1,2,3,4] => 11001000 => [2,2,1,3] => 934
[9,7,8,5,6,1,2,3,4] => 10101000 => [1,1,1,1,1,3] => 2790
[9,8,7,5,6,1,2,3,4] => 11101000 => [3,1,1,3] => 676
[9,8,7,6,5,1,2,3,4] => 11111000 => [5,3] => 56
[7,8,9,4,5,6,1,2,3] => 00100100 => [2,1,2,1,2] => 2194
[9,7,8,4,5,6,1,2,3] => 10100100 => [1,1,1,2,1,2] => 3790
[9,8,7,4,5,6,1,2,3] => 11100100 => [3,2,1,2] => 924
[8,9,6,7,4,5,1,2,3] => 01010100 => [1,1,1,1,1,1,2] => 6344
[9,8,6,7,4,5,1,2,3] => 11010100 => [2,1,1,1,1,2] => 3696
[9,8,7,6,4,5,1,2,3] => 11110100 => [4,1,1,2] => 526
[9,8,7,6,5,4,1,2,3] => 11111100 => [6,2] => 28
[9,7,8,5,6,3,4,1,2] => 10101010 => [1,1,1,1,1,1,1,1] => 10176
[9,8,7,5,6,3,4,1,2] => 11101010 => [3,1,1,1,1,1] => 2592
[9,8,7,6,5,3,4,1,2] => 11111010 => [5,1,1,1] => 240
[9,8,7,6,5,4,3,1,2] => 11111110 => [7,1] => 8
[3,4,6,2,7,1,5,8] => 0010100 => [2,1,1,1,2] => 603
[3,6,2,5,4,1,7,8] => 0101100 => [1,1,1,2,2] => 622
[3,2,7,5,4,1,6,8] => 1011100 => [1,1,3,2] => 265
[4,3,6,2,8,1,5,7] => 1010100 => [1,1,1,1,1,2] => 1023
[6,1,2,5,4,7,8,3] => 1001001 => [1,2,1,2,1] => 603
[6,2,4,5,1,3,7,8] => 1001000 => [1,2,1,3] => 262
[4,2,8,5,1,3,7,6] => 1011001 => [1,1,2,2,1] => 611
[4,3,6,8,1,7,2,5] => 1001010 => [1,2,1,1,1,1] => 969
[5,3,6,4,1,7,2,8] => 1011010 => [1,1,2,1,1,1] => 984
[6,2,1,5,8,3,7,4] => 1100101 => [2,2,1,1,1] => 582
[1,6,7,4,8,3,5,2] => 0010101 => [2,1,1,1,1,1] => 969
[1,4,6,3,7,5,8,2] => 0010101 => [2,1,1,1,1,1] => 969
[4,6,7,2,5,8,1,3] => 0010010 => [2,1,2,1,1] => 594
[2,4,6,1,7,5,3,8] => 0010110 => [2,1,1,2,1] => 603
[2,7,5,4,1,6,3,8] => 0111010 => [1,3,1,1,1] => 427
[7,5,4,6,2,8,1,3] => 1101010 => [2,1,1,1,1,1] => 969
[1,7,5,4,3,8,6,2] => 0111011 => [1,3,1,2] => 259
[1,4,6,3,5,8,7,2] => 0010011 => [2,1,2,2] => 363
[1,5,8,4,3,6,7,2] => 0011001 => [2,2,2,1] => 357
[5,4,6,2,7,8,1,3] => 1010010 => [1,1,1,2,1,1] => 1006
[2,5,4,1,6,7,3,8] => 0110010 => [1,2,2,1,1] => 594
[5,6,3,2,7,1,4,8] => 0110100 => [1,2,1,1,2] => 603
[5,6,3,2,7,1,8,4] => 0110101 => [1,2,1,1,1,1] => 969
[8,5,6,3,2,7,1,4] => 1011010 => [1,1,2,1,1,1] => 984
[5,4,6,2,8,1,7,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[2,4,1,7,8,5,3,6] => 0100110 => [1,1,2,2,1] => 611
[2,5,4,1,6,3,8,7] => 0110101 => [1,2,1,1,1,1] => 969
[5,6,3,2,1,8,4,7] => 0111010 => [1,3,1,1,1] => 427
[3,5,2,1,6,4,7,8] => 0110100 => [1,2,1,1,2] => 603
[6,8,4,3,2,1,5,7] => 0111100 => [1,4,2] => 85
[5,3,8,2,1,6,4,7] => 1011010 => [1,1,2,1,1,1] => 984
[3,7,5,8,2,1,4,6] => 0101100 => [1,1,1,2,2] => 622
[7,3,2,8,5,1,6,4] => 1101101 => [2,1,2,1,1] => 594
[8,4,6,3,2,1,7,5] => 1011101 => [1,1,3,1,1] => 439
[8,6,4,3,2,1,7,5] => 1111101 => [5,1,1] => 37
[7,6,4,3,2,1,8,5] => 1111101 => [5,1,1] => 37
[7,8,4,3,2,1,6,5] => 0111101 => [1,4,1,1] => 145
[5,4,7,2,1,8,6,3] => 1011011 => [1,1,2,1,2] => 611
[7,5,8,3,2,6,1,4] => 1011010 => [1,1,2,1,1,1] => 984
[5,7,3,2,1,6,8,4] => 0111001 => [1,3,2,1] => 259
[5,7,3,2,1,6,4,8] => 0111010 => [1,3,1,1,1] => 427
[6,3,7,2,5,1,8,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,7,8,3,5,2,1,4] => 0010110 => [2,1,1,2,1] => 603
[6,2,5,7,8,4,1,3] => 1000110 => [1,3,2,1] => 259
[2,1,5,7,8,6,3,4] => 1000110 => [1,3,2,1] => 259
[3,6,7,2,8,1,4,5] => 0010100 => [2,1,1,1,2] => 603
[6,3,7,2,8,1,4,5] => 1010100 => [1,1,1,1,1,2] => 1023
[3,2,6,1,7,4,5,8] => 1010100 => [1,1,1,1,1,2] => 1023
[3,5,2,1,4,7,6,8] => 0110010 => [1,2,2,1,1] => 594
[7,3,5,2,1,8,4,6] => 1011010 => [1,1,2,1,1,1] => 984
[2,5,4,1,3,7,8,6] => 0110001 => [1,2,3,1] => 262
[2,5,8,4,1,3,7,6] => 0011001 => [2,2,2,1] => 357
[2,4,1,7,8,3,6,5] => 0100101 => [1,1,2,1,1,1] => 984
[3,7,2,8,6,1,4,5] => 0101100 => [1,1,1,2,2] => 622
[3,6,8,2,1,7,4,5] => 0011010 => [2,2,1,1,1] => 582
[5,3,8,2,1,4,7,6] => 1011001 => [1,1,2,2,1] => 611
[4,8,7,3,2,1,5,6] => 0111100 => [1,4,2] => 85
[4,7,3,2,1,5,6,8] => 0111000 => [1,3,3] => 110
[8,4,7,3,2,1,5,6] => 1011100 => [1,1,3,2] => 265
[8,3,5,2,1,4,7,6] => 1011001 => [1,1,2,2,1] => 611
[7,3,2,8,6,1,4,5] => 1101100 => [2,1,2,2] => 363
[3,5,2,1,4,6,8,7] => 0110001 => [1,2,3,1] => 262
[7,8,6,5,4,3,2,1,9] => 01111110 => [1,6,1] => 50
[1,8,9,7,6,5,4,3,2] => 00111111 => [2,6] => 28
[7,6,8,5,4,3,2,1,9] => 10111110 => [1,1,5,1] => 244
[6,8,7,5,4,3,2,1,9] => 01111110 => [1,6,1] => 50
[1,8,7,9,6,5,4,3,2] => 01011111 => [1,1,1,5] => 244
[1,7,9,8,6,5,4,3,2] => 00111111 => [2,6] => 28
[7,8,3,5,4,6,1,2] => 0101010 => [1,1,1,1,1,1,1] => 1623
[8,6,3,7,5,2,4,1] => 1101101 => [2,1,2,1,1] => 594
[5,4,1,6,3,2,8,7] => 1101101 => [2,1,2,1,1] => 594
[5,4,1,6,2,3,8,7] => 1101001 => [2,1,1,2,1] => 603
[5,7,1,6,2,8,3,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,7,1,6,2,8,4,3] => 0101011 => [1,1,1,1,1,2] => 1023
[2,7,6,5,1,8,3,4] => 0111010 => [1,3,1,1,1] => 427
[2,7,6,5,1,8,4,3] => 0111011 => [1,3,1,2] => 259
[2,3,6,5,1,4,8,7] => 0011001 => [2,2,2,1] => 357
[2,3,6,4,1,5,8,7] => 0011001 => [2,2,2,1] => 357
[2,3,6,1,5,4,8,7] => 0010101 => [2,1,1,1,1,1] => 969
[2,7,6,1,4,8,5,3] => 0110011 => [1,2,2,2] => 363
[2,7,6,1,4,8,3,5] => 0110010 => [1,2,2,1,1] => 594
[7,3,5,1,8,4,2,6] => 1010110 => [1,1,1,1,2,1] => 1023
[7,3,5,1,8,6,4,2] => 1010111 => [1,1,1,1,3] => 450
[2,7,6,1,5,8,4,3] => 0110011 => [1,2,2,2] => 363
[2,7,6,4,1,8,5,3] => 0111011 => [1,3,1,2] => 259
[2,1,7,6,3,8,5,4] => 1011011 => [1,1,2,1,2] => 611
[2,1,7,6,3,8,4,5] => 1011010 => [1,1,2,1,1,1] => 984
[5,7,3,6,2,8,4,1] => 0101011 => [1,1,1,1,1,2] => 1023
[2,7,6,4,1,8,3,5] => 0111010 => [1,3,1,1,1] => 427
[7,3,5,1,8,6,2,4] => 1010110 => [1,1,1,1,2,1] => 1023
[6,3,5,1,8,2,4,7] => 1010100 => [1,1,1,1,1,2] => 1023
[2,3,4,8,7,6,1,5] => 0001110 => [3,3,1] => 110
[2,3,4,8,5,7,1,6] => 0001010 => [3,1,1,1,1] => 427
[7,3,5,4,8,1,2,6] => 1010100 => [1,1,1,1,1,2] => 1023
[6,4,3,5,8,7,2,1] => 1100111 => [2,2,3] => 153
[2,1,4,5,8,7,3,6] => 1000110 => [1,3,2,1] => 259
[6,4,3,5,8,7,1,2] => 1100110 => [2,2,2,1] => 357
[7,3,5,4,8,1,6,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[2,3,4,8,7,5,6,1] => 0001101 => [3,2,1,1] => 256
[2,3,4,8,7,5,1,6] => 0001110 => [3,3,1] => 110
[2,7,6,5,4,8,1,3] => 0111010 => [1,3,1,1,1] => 427
[7,3,5,6,8,4,1,2] => 1000110 => [1,3,2,1] => 259
[7,3,5,6,8,1,4,2] => 1000101 => [1,3,1,1,1] => 427
[7,3,5,6,8,1,2,4] => 1000100 => [1,3,1,2] => 259
[6,4,1,5,8,7,2,3] => 1100110 => [2,2,2,1] => 357
[6,4,1,5,8,7,3,2] => 1100111 => [2,2,3] => 153
[6,4,1,5,8,3,7,2] => 1100101 => [2,2,1,1,1] => 582
[5,7,1,6,3,8,2,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[6,4,1,5,8,3,2,7] => 1100110 => [2,2,2,1] => 357
[7,4,1,5,8,2,3,6] => 1100100 => [2,2,1,2] => 357
[7,4,1,5,8,2,6,3] => 1100101 => [2,2,1,1,1] => 582
[6,3,5,7,8,2,1,4] => 1000110 => [1,3,2,1] => 259
[6,3,5,7,8,2,4,1] => 1000101 => [1,3,1,1,1] => 427
[2,7,6,4,5,8,3,1] => 0110011 => [1,2,2,2] => 363
[5,7,3,6,1,8,4,2] => 0101011 => [1,1,1,1,1,2] => 1023
[2,1,4,5,8,6,3,7] => 1000110 => [1,3,2,1] => 259
[7,3,5,4,8,6,2,1] => 1010111 => [1,1,1,1,3] => 450
[2,3,4,8,5,6,1,7] => 0001010 => [3,1,1,1,1] => 427
[2,3,4,8,7,1,6,5] => 0001101 => [3,2,1,1] => 256
[2,3,4,8,1,7,6,5] => 0001011 => [3,1,1,2] => 259
[2,3,4,8,1,6,7,5] => 0001001 => [3,1,2,1] => 259
[2,3,4,8,5,1,7,6] => 0001101 => [3,2,1,1] => 256
[6,3,5,4,8,2,7,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,4,3,5,8,2,1,6] => 1100110 => [2,2,2,1] => 357
[2,1,4,5,8,3,7,6] => 1000101 => [1,3,1,1,1] => 427
[7,4,3,5,8,2,6,1] => 1100101 => [2,2,1,1,1] => 582
[6,3,5,4,8,2,1,7] => 1010110 => [1,1,1,1,2,1] => 1023
[2,3,4,8,5,1,6,7] => 0001100 => [3,2,2] => 153
[2,3,4,8,1,6,5,7] => 0001010 => [3,1,1,1,1] => 427
[2,3,4,8,1,5,7,6] => 0001001 => [3,1,2,1] => 259
[7,8,2,6,1,5,3,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[7,8,1,6,2,5,3,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,8,6,7,2,5,3,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,8,5,7,2,6,3,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,8,1,7,2,6,3,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,8,2,7,1,6,3,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,8,6,7,1,5,3,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,8,5,7,1,6,3,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,8,1,7,5,6,3,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,8,2,7,5,6,3,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,8,2,7,4,6,3,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,8,1,7,4,6,3,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,8,4,7,1,6,3,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,8,2,7,1,6,3,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,8,1,7,2,6,3,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,8,4,7,2,6,3,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,8,1,7,5,6,2,3] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,8,4,7,5,6,2,3] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,8,3,7,5,6,2,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,8,1,7,5,6,2,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,8,1,7,4,6,2,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,8,3,7,4,6,2,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,8,3,7,2,6,4,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,8,1,7,2,6,4,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,8,2,7,1,6,4,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,8,2,7,4,6,1,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,8,2,7,5,6,1,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,8,2,7,5,6,1,3] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,8,3,7,5,6,1,2] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,8,4,7,5,6,1,2] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,8,4,7,5,6,1,3] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,8,3,7,5,6,1,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,8,3,7,4,6,1,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,8,3,7,1,6,4,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,8,1,7,3,6,4,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[7,5,2,8,6,4,1,3] => 1101110 => [2,1,3,1] => 262
[7,5,1,8,6,2,3,4] => 1101100 => [2,1,2,2] => 363
[7,4,8,6,1,5,2,3] => 1011010 => [1,1,2,1,1,1] => 984
[7,1,8,4,5,2,6,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,8,1,7,4,2,5,3] => 0101101 => [1,1,1,2,1,1] => 1006
[1,6,7,4,2,8,5,3] => 0011011 => [2,2,1,2] => 357
[1,6,7,3,8,5,2,4] => 0010110 => [2,1,1,2,1] => 603
[7,1,8,3,5,6,2,4] => 1010010 => [1,1,1,2,1,1] => 1006
[7,3,8,6,2,5,1,4] => 1011010 => [1,1,2,1,1,1] => 984
[7,4,2,8,6,1,3,5] => 1101100 => [2,1,2,2] => 363
[7,3,1,8,4,2,5,6] => 1101100 => [2,1,2,2] => 363
[7,2,8,4,1,5,3,6] => 1011010 => [1,1,2,1,1,1] => 984
[7,2,8,3,5,1,6,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,2,8,3,4,6,1,5] => 1010010 => [1,1,1,2,1,1] => 1006
[1,5,7,8,2,6,3,4] => 0001010 => [3,1,1,1,1] => 427
[6,2,3,8,5,7,4,1] => 1001011 => [1,2,1,1,2] => 603
[6,2,4,8,5,3,1,7] => 1001110 => [1,2,3,1] => 262
[6,3,1,4,8,5,2,7] => 1100110 => [2,2,2,1] => 357
[2,6,3,7,8,5,4,1] => 0100111 => [1,1,2,3] => 265
[2,6,3,7,8,4,5,1] => 0100101 => [1,1,2,1,1,1] => 984
[2,4,7,3,5,6,8,1] => 0010001 => [2,1,3,1] => 262
[2,4,7,3,6,8,5,1] => 0010011 => [2,1,2,2] => 363
[2,5,3,7,8,1,6,4] => 0100101 => [1,1,2,1,1,1] => 984
[3,1,5,4,7,8,2,6] => 1010010 => [1,1,1,2,1,1] => 1006
[5,3,1,4,8,2,6,7] => 1100100 => [2,2,1,2] => 357
[5,2,4,8,6,1,3,7] => 1001100 => [1,2,2,2] => 363
[5,2,3,8,4,6,7,1] => 1001001 => [1,2,1,2,1] => 603
[4,8,2,3,6,1,7,5] => 0100101 => [1,1,2,1,1,1] => 984
[4,8,2,3,5,7,1,6] => 0100010 => [1,1,3,1,1] => 439
[1,4,7,8,3,6,2,5] => 0001010 => [3,1,1,1,1] => 427
[4,8,1,3,6,7,2,5] => 0100010 => [1,1,3,1,1] => 439
[5,3,8,2,4,7,1,6] => 1010010 => [1,1,1,2,1,1] => 1006
[5,4,3,8,1,2,7,6] => 1101001 => [2,1,1,2,1] => 603
[6,4,2,8,1,3,7,5] => 1101001 => [2,1,1,2,1] => 603
[6,3,8,2,5,1,7,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,3,8,1,4,7,2,5] => 1010010 => [1,1,1,2,1,1] => 1006
[5,8,1,3,6,2,7,4] => 0100101 => [1,1,2,1,1,1] => 984
[1,5,7,4,2,6,8,3] => 0011001 => [2,2,2,1] => 357
[5,8,1,4,2,6,3,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,8,4,1,2,7,6,3] => 0110011 => [1,2,2,2] => 363
[6,5,1,2,8,7,3,4] => 1100110 => [2,2,2,1] => 357
[6,5,3,1,4,2,8,7] => 1110101 => [3,1,1,1,1] => 427
[5,3,1,6,4,2,7,8] => 1101100 => [2,1,2,2] => 363
[5,2,6,4,1,7,3,8] => 1011010 => [1,1,2,1,1,1] => 984
[4,6,1,7,5,2,8,3] => 0101101 => [1,1,1,2,1,1] => 1006
[4,5,1,7,2,6,3,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,5,6,1,2,8,7,4] => 0010011 => [2,1,2,2] => 363
[3,5,7,1,8,6,2,4] => 0010110 => [2,1,1,2,1] => 603
[3,6,2,7,5,1,8,4] => 0101101 => [1,1,1,2,1,1] => 1006
[4,2,5,7,1,8,6,3] => 1001011 => [1,2,1,1,2] => 603
[3,4,7,2,8,6,1,5] => 0010110 => [2,1,1,2,1] => 603
[3,4,5,8,2,7,1,6] => 0001010 => [3,1,1,1,1] => 427
[3,4,6,2,8,1,5,7] => 0010100 => [2,1,1,1,2] => 603
[3,5,2,6,8,1,7,4] => 0100101 => [1,1,2,1,1,1] => 984
[4,2,5,6,1,3,8,7] => 1001001 => [1,2,1,2,1] => 603
[4,3,1,2,5,6,8,7] => 1100001 => [2,4,1] => 85
[5,3,6,8,4,7,2,1] => 1001011 => [1,2,1,1,2] => 603
[3,7,2,5,4,8,6,1] => 0101011 => [1,1,1,1,1,2] => 1023
[8,4,2,5,7,3,6,1] => 1100101 => [2,2,1,1,1] => 582
[3,1,6,5,4,8,2,7] => 1011010 => [1,1,2,1,1,1] => 984
[4,1,6,5,8,3,2,7] => 1010110 => [1,1,1,1,2,1] => 1023
[5,1,6,8,4,3,2,7] => 1001110 => [1,2,3,1] => 262
[8,5,4,7,6,3,2,1] => 1101111 => [2,1,4] => 85
[2,7,1,5,4,3,8,6] => 0101101 => [1,1,1,2,1,1] => 1006
[8,2,1,5,4,3,7,6] => 1101101 => [2,1,2,1,1] => 594
[8,4,1,5,7,3,2,6] => 1100110 => [2,2,2,1] => 357
[8,4,6,1,7,3,2,5] => 1010110 => [1,1,1,1,2,1] => 1023
[8,3,6,1,4,7,2,5] => 1010010 => [1,1,1,2,1,1] => 1006
[2,7,6,1,4,3,8,5] => 0110101 => [1,2,1,1,1,1] => 969
[6,7,8,5,1,3,2,4] => 0011010 => [2,2,1,1,1] => 582
[5,7,2,8,4,3,6,1] => 0101101 => [1,1,1,2,1,1] => 1006
[6,7,8,2,4,3,5,1] => 0010101 => [2,1,1,1,1,1] => 969
[4,7,6,2,8,3,5,1] => 0110101 => [1,2,1,1,1,1] => 969
[8,3,6,2,4,7,5,1] => 1010011 => [1,1,1,2,2] => 622
[3,7,6,2,4,8,5,1] => 0110011 => [1,2,2,2] => 363
[5,7,3,8,4,6,2,1] => 0101011 => [1,1,1,1,1,2] => 1023
[4,7,3,5,8,6,2,1] => 0100111 => [1,1,2,3] => 265
[8,7,2,1,4,3,6,5] => 1110101 => [3,1,1,1,1] => 427
[8,7,3,1,4,6,2,5] => 1110010 => [3,2,1,1] => 256
[8,7,6,3,2,5,4,1] => 1111011 => [4,1,2] => 85
[8,7,3,5,1,6,2,4] => 1101010 => [2,1,1,1,1,1] => 969
[8,7,2,5,1,3,6,4] => 1101001 => [2,1,1,2,1] => 603
[8,4,6,5,7,1,2,3] => 1010100 => [1,1,1,1,1,2] => 1023
[4,7,6,5,8,1,2,3] => 0110100 => [1,2,1,1,2] => 603
[3,7,6,5,1,8,2,4] => 0111010 => [1,3,1,1,1] => 427
[8,1,2,3,4,5,6,7,9] => 10000000 => [1,7] => 8
[1,9,2,3,4,5,6,7,8] => 01000000 => [1,1,6] => 50
[7,8,1,2,3,4,5,6,9] => 01000000 => [1,1,6] => 50
[1,8,9,2,3,4,5,6,7] => 00100000 => [2,1,5] => 138
[7,1,8,2,3,4,5,6,9] => 10100000 => [1,1,1,5] => 244
[6,8,1,2,3,4,5,7,9] => 01000000 => [1,1,6] => 50
[1,8,2,9,3,4,5,6,7] => 01010000 => [1,1,1,1,4] => 934
[1,7,9,2,3,4,5,6,8] => 00100000 => [2,1,5] => 138
[3,6,4,8,7,5,1,2] => 0101110 => [1,1,1,3,1] => 450
[5,6,4,3,8,7,1,2] => 0110110 => [1,2,1,2,1] => 603
[1,6,2,4,7,8,5,3] => 0100011 => [1,1,3,2] => 265
[3,6,2,4,8,1,5,7] => 0100100 => [1,1,2,1,2] => 611
[3,4,7,2,8,1,6,5] => 0010101 => [2,1,1,1,1,1] => 969
[1,4,7,2,5,8,6,3] => 0010011 => [2,1,2,2] => 363
[7,3,8,4,5,6,1,2] => 1010010 => [1,1,1,2,1,1] => 1006
[3,5,6,4,8,7,1,2] => 0010110 => [2,1,1,2,1] => 603
[4,6,8,5,3,7,1,2] => 0011010 => [2,2,1,1,1] => 582
[6,8,5,3,4,7,1,2] => 0110010 => [1,2,2,1,1] => 594
[1,6,5,4,2,8,7,3] => 0111011 => [1,3,1,2] => 259
[1,8,5,2,7,3,6,4] => 0110101 => [1,2,1,1,1,1] => 969
[4,2,7,5,1,8,6,3] => 1011011 => [1,1,2,1,2] => 611
[7,8,1,4,2,6,5,3] => 0101011 => [1,1,1,1,1,2] => 1023
[1,3,6,4,8,2,5,7] => 0010100 => [2,1,1,1,2] => 603
[4,1,7,5,3,2,6,8] => 1011100 => [1,1,3,2] => 265
[6,5,1,3,4,2,8,7] => 1100101 => [2,2,1,1,1] => 582
[4,8,5,3,1,7,2,6] => 0111010 => [1,3,1,1,1] => 427
[7,4,5,3,2,8,1,6] => 1011010 => [1,1,2,1,1,1] => 984
[5,8,3,6,1,4,2,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,5,8,6,4,1,3,7] => 0011100 => [2,3,2] => 153
[1,4,6,2,5,8,3,7] => 0010010 => [2,1,2,1,1] => 594
[3,6,2,5,8,1,7,4] => 0100101 => [1,1,2,1,1,1] => 984
[1,6,8,7,4,2,3,5] => 0011100 => [2,3,2] => 153
[6,1,7,8,2,4,3,5] => 1001010 => [1,2,1,1,1,1] => 969
[7,1,8,6,3,4,2,5] => 1011010 => [1,1,2,1,1,1] => 984
[7,2,1,4,5,6,8,3] => 1100001 => [2,4,1] => 85
[1,2,8,3,6,5,7,4] => 0010101 => [2,1,1,1,1,1] => 969
[6,1,3,2,7,5,8,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[1,6,3,8,5,7,2,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,6,4,1,7,5,8,3] => 0110101 => [1,2,1,1,1,1] => 969
[7,6,5,8,1,4,2,3] => 1101010 => [2,1,1,1,1,1] => 969
[5,8,6,7,3,2,1,4] => 0101110 => [1,1,1,3,1] => 450
[1,6,4,3,7,2,8,5] => 0110101 => [1,2,1,1,1,1] => 969
[2,6,3,4,8,7,1,5] => 0100110 => [1,1,2,2,1] => 611
[7,1,3,4,5,2,8,6] => 1000101 => [1,3,1,1,1] => 427
[1,8,3,5,4,2,7,6] => 0101101 => [1,1,1,2,1,1] => 1006
[4,1,6,3,8,2,7,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,8,2,4,6,3,1,5] => 0100110 => [1,1,2,2,1] => 611
[3,2,6,4,7,8,1,5] => 1010010 => [1,1,1,2,1,1] => 1006
[2,8,5,7,4,3,1,6] => 0101110 => [1,1,1,3,1] => 450
[7,2,5,8,3,4,1,6] => 1001010 => [1,2,1,1,1,1] => 969
[5,3,8,7,1,2,6,4] => 1011001 => [1,1,2,2,1] => 611
[6,5,3,8,2,1,7,4] => 1101101 => [2,1,2,1,1] => 594
[7,5,8,4,1,2,3,6] => 1011000 => [1,1,2,3] => 265
[5,8,7,4,1,3,2,6] => 0111010 => [1,3,1,1,1] => 427
[3,5,7,8,4,1,2,6] => 0001100 => [3,2,2] => 153
[1,4,7,5,3,8,2,6] => 0011010 => [2,2,1,1,1] => 582
[2,4,6,7,3,1,8,5] => 0001101 => [3,2,1,1] => 256
[7,8,4,6,3,1,2,5] => 0101100 => [1,1,1,2,2] => 622
[2,6,4,5,3,8,1,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,6,5,8,4,2,1,7] => 0101110 => [1,1,1,3,1] => 450
[5,6,8,4,2,3,1,7] => 0011010 => [2,2,1,1,1] => 582
[6,8,5,4,3,1,2,7] => 0111100 => [1,4,2] => 85
[6,1,4,2,8,5,7,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,8,6,5,3,2,7,1] => 0111101 => [1,4,1,1] => 145
[8,6,5,1,2,4,7,3] => 1110001 => [3,3,1] => 110
[6,7,5,8,2,1,4,3] => 0101101 => [1,1,1,2,1,1] => 1006
[1,7,5,8,2,6,4,3] => 0101011 => [1,1,1,1,1,2] => 1023
[1,3,8,5,7,6,2,4] => 0010110 => [2,1,1,2,1] => 603
[6,3,8,5,7,1,2,4] => 1010100 => [1,1,1,1,1,2] => 1023
[8,3,1,5,6,2,7,4] => 1100101 => [2,2,1,1,1] => 582
[6,8,5,2,1,4,7,3] => 0111001 => [1,3,2,1] => 259
[3,8,2,5,6,1,7,4] => 0100101 => [1,1,2,1,1,1] => 984
[2,8,1,5,6,3,7,4] => 0100101 => [1,1,2,1,1,1] => 984
[8,1,2,5,6,3,7,4] => 1000101 => [1,3,1,1,1] => 427
[1,8,2,5,7,6,3,4] => 0100110 => [1,1,2,2,1] => 611
[5,1,8,6,2,7,3,4] => 1011010 => [1,1,2,1,1,1] => 984
[2,5,8,6,1,7,3,4] => 0011010 => [2,2,1,1,1] => 582
[8,6,1,5,7,2,3,4] => 1100100 => [2,2,1,2] => 357
[3,8,6,5,7,1,2,4] => 0110100 => [1,2,1,1,2] => 603
[7,6,5,8,1,2,4,3] => 1101001 => [2,1,1,2,1] => 603
[5,1,7,6,8,4,2,3] => 1010110 => [1,1,1,1,2,1] => 1023
[5,1,3,7,8,6,2,4] => 1000110 => [1,3,2,1] => 259
[7,2,5,8,1,6,4,3] => 1001011 => [1,2,1,1,2] => 603
[3,2,8,5,7,6,1,4] => 1010110 => [1,1,1,1,2,1] => 1023
[8,2,1,5,7,6,3,4] => 1100110 => [2,2,2,1] => 357
[5,2,8,6,1,7,3,4] => 1011010 => [1,1,2,1,1,1] => 984
[1,2,8,6,5,7,3,4] => 0011010 => [2,2,1,1,1] => 582
[4,2,1,3,6,7,8,5] => 1100001 => [2,4,1] => 85
[8,2,5,6,3,7,1,4] => 1001010 => [1,2,1,1,1,1] => 969
[7,2,6,5,4,1,8,3] => 1011101 => [1,1,3,1,1] => 439
[6,1,3,5,4,7,8,2] => 1001001 => [1,2,1,2,1] => 603
[6,1,5,3,4,7,8,2] => 1010001 => [1,1,1,3,1] => 450
[7,5,6,2,4,1,8,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,5,2,6,3,7,1,4] => 1101010 => [2,1,1,1,1,1] => 969
[4,3,1,2,6,7,8,5] => 1100001 => [2,4,1] => 85
[8,1,6,5,7,3,2,4] => 1010110 => [1,1,1,1,2,1] => 1023
[3,5,8,6,2,7,1,4] => 0011010 => [2,2,1,1,1] => 582
[5,8,1,6,3,7,2,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,8,5,6,3,7,2,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,7,6,5,4,2,8,3] => 0111101 => [1,4,1,1] => 145
[5,7,6,1,4,2,8,3] => 0110101 => [1,2,1,1,1,1] => 969
[7,1,4,2,6,5,8,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,1,7,3,5,6,8,2] => 1010001 => [1,1,1,3,1] => 450
[2,7,4,1,5,6,8,3] => 0110001 => [1,2,3,1] => 262
[5,7,6,4,1,2,8,3] => 0111001 => [1,3,2,1] => 259
[4,7,6,1,5,2,8,3] => 0110101 => [1,2,1,1,1,1] => 969
[1,7,6,4,5,2,8,3] => 0110101 => [1,2,1,1,1,1] => 969
[1,8,3,6,5,7,2,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,8,1,6,5,7,2,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[8,1,3,5,7,6,2,4] => 1000110 => [1,3,2,1] => 259
[7,8,5,4,1,6,2,3] => 0111010 => [1,3,1,1,1] => 427
[6,1,5,4,3,7,8,2] => 1011001 => [1,1,2,2,1] => 611
[7,5,6,4,2,1,8,3] => 1011101 => [1,1,3,1,1] => 439
[8,3,2,6,5,7,1,4] => 1101010 => [2,1,1,1,1,1] => 969
[7,4,6,2,5,1,8,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,1,4,3,5,7,8,2] => 1010001 => [1,1,1,3,1] => 450
[6,1,3,4,5,7,8,2] => 1000001 => [1,5,1] => 37
[7,2,6,4,5,1,8,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,2,3,6,5,7,1,4] => 1001010 => [1,2,1,1,1,1] => 969
[5,4,7,3,6,8,1,2] => 1010010 => [1,1,1,2,1,1] => 1006
[3,4,7,8,5,6,1,2] => 0001010 => [3,1,1,1,1] => 427
[3,4,7,2,5,1,6,8] => 0010100 => [2,1,1,1,2] => 603
[1,4,7,2,5,8,3,6] => 0010010 => [2,1,2,1,1] => 594
[3,6,2,4,7,1,5,8] => 0100100 => [1,1,2,1,2] => 611
[6,8,3,4,5,7,1,2] => 0100010 => [1,1,3,1,1] => 439
[4,3,6,7,5,8,1,2] => 1001010 => [1,2,1,1,1,1] => 969
[6,3,7,5,8,4,1,2] => 1010110 => [1,1,1,1,2,1] => 1023
[7,3,8,6,4,5,1,2] => 1011010 => [1,1,2,1,1,1] => 984
[3,2,7,6,5,1,4,8] => 1011100 => [1,1,3,2] => 265
[1,2,7,6,5,8,3,4] => 0011010 => [2,2,1,1,1] => 582
[4,8,2,6,1,5,3,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,3,8,6,4,1,5,7] => 0011100 => [2,3,2] => 153
[4,3,6,2,5,1,8,7] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,8,3,2,5,1,4,6] => 0110100 => [1,2,1,1,2] => 603
[7,8,1,2,5,6,3,4] => 0100010 => [1,1,3,1,1] => 439
[4,1,6,2,5,7,3,8] => 1010010 => [1,1,1,2,1,1] => 1006
[6,1,2,5,8,7,3,4] => 1000110 => [1,3,2,1] => 259
[2,1,8,6,4,7,3,5] => 1011010 => [1,1,2,1,1,1] => 984
[7,1,3,6,8,4,2,5] => 1000110 => [1,3,2,1] => 259
[1,8,3,6,7,4,5,2] => 0100101 => [1,1,2,1,1,1] => 984
[7,1,5,8,3,6,2,4] => 1001010 => [1,2,1,1,1,1] => 969
[5,1,8,7,2,3,6,4] => 1011001 => [1,1,2,2,1] => 611
[6,1,5,7,4,2,8,3] => 1001101 => [1,2,2,1,1] => 594
[3,1,6,4,7,2,5,8] => 1010100 => [1,1,1,1,1,2] => 1023
[2,4,7,5,1,8,3,6] => 0011010 => [2,2,1,1,1] => 582
[6,5,7,1,4,2,3,8] => 1010100 => [1,1,1,1,1,2] => 1023
[5,6,8,1,3,2,4,7] => 0010100 => [2,1,1,1,2] => 603
[6,8,5,1,3,4,2,7] => 0110010 => [1,2,2,1,1] => 594
[2,8,3,4,5,1,7,6] => 0100101 => [1,1,2,1,1,1] => 984
[6,2,4,3,1,5,7,8] => 1011000 => [1,1,2,3] => 265
[4,2,8,3,1,7,5,6] => 1011010 => [1,1,2,1,1,1] => 984
[1,3,7,4,8,2,5,6] => 0010100 => [2,1,1,1,2] => 603
[5,3,7,4,1,6,2,8] => 1011010 => [1,1,2,1,1,1] => 984
[2,4,7,3,6,1,8,5] => 0010101 => [2,1,1,1,1,1] => 969
[5,8,7,6,3,1,2,4] => 0111100 => [1,4,2] => 85
[7,5,6,8,1,4,3,2] => 1001011 => [1,2,1,1,2] => 603
[2,4,7,1,6,5,3,8] => 0010110 => [2,1,1,2,1] => 603
[1,2,7,8,5,4,3,6] => 0001110 => [3,3,1] => 110
[6,3,1,2,8,4,5,7] => 1100100 => [2,2,1,2] => 357
[4,2,1,3,6,5,8,7] => 1100101 => [2,2,1,1,1] => 582
[2,8,1,4,5,6,3,7] => 0100010 => [1,1,3,1,1] => 439
[7,2,1,5,4,6,3,8] => 1101010 => [2,1,1,1,1,1] => 969
[4,2,6,1,8,5,3,7] => 1010110 => [1,1,1,1,2,1] => 1023
[7,8,2,1,4,5,3,6] => 0110010 => [1,2,2,1,1] => 594
[7,8,4,1,5,3,6,2] => 0110101 => [1,2,1,1,1,1] => 969
[3,4,6,1,5,8,7,2] => 0010011 => [2,1,2,2] => 363
[7,5,1,6,4,3,8,2] => 1101101 => [2,1,2,1,1] => 594
[5,8,1,6,3,4,7,2] => 0101001 => [1,1,1,1,2,1] => 1023
[6,5,1,8,2,7,4,3] => 1101011 => [2,1,1,1,2] => 603
[6,8,1,7,5,2,3,4] => 0101100 => [1,1,1,2,2] => 622
[7,6,1,8,5,3,2,4] => 1101110 => [2,1,3,1] => 262
[5,6,1,7,4,8,2,3] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,6,1,5,7,4,2,8] => 0100110 => [1,1,2,2,1] => 611
[2,5,6,1,7,4,8,3] => 0010101 => [2,1,1,1,1,1] => 969
[3,1,7,5,6,4,8,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,1,7,6,4,8,3,2] => 1011011 => [1,1,2,1,2] => 611
[6,1,7,8,5,3,4,2] => 1001101 => [1,2,2,1,1] => 594
[7,1,8,6,5,4,2,3] => 1011110 => [1,1,4,1] => 148
[2,6,5,7,3,4,8,1] => 0101001 => [1,1,1,1,2,1] => 1023
[1,6,4,7,5,8,2,3] => 0101010 => [1,1,1,1,1,1,1] => 1623
[8,5,3,6,2,7,4,1] => 1101011 => [2,1,1,1,2] => 603
[1,3,7,4,6,8,2,5] => 0010010 => [2,1,2,1,1] => 594
[4,7,5,6,3,2,8,1] => 0101101 => [1,1,1,2,1,1] => 1006
[1,7,6,5,4,8,2,3] => 0111010 => [1,3,1,1,1] => 427
[8,1,6,5,7,2,4,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[1,2,7,6,8,3,4,5] => 0010100 => [2,1,1,1,2] => 603
[6,1,7,5,3,8,2,4] => 1011010 => [1,1,2,1,1,1] => 984
[2,1,7,5,6,8,3,4] => 1010010 => [1,1,1,2,1,1] => 1006
[5,4,1,7,6,8,2,3] => 1101010 => [2,1,1,1,1,1] => 969
[4,8,5,6,2,7,3,1] => 0101011 => [1,1,1,1,1,2] => 1023
[3,8,6,4,2,7,5,1] => 0111011 => [1,3,1,2] => 259
[7,8,5,2,4,6,3,1] => 0110011 => [1,2,2,2] => 363
[2,8,6,3,7,4,5,1] => 0110101 => [1,2,1,1,1,1] => 969
[7,8,1,6,2,4,5,3] => 0101001 => [1,1,1,1,2,1] => 1023
[6,8,1,4,7,2,5,3] => 0100101 => [1,1,2,1,1,1] => 984
[3,8,4,1,7,2,6,5] => 0110101 => [1,2,1,1,1,1] => 969
[5,4,7,1,8,3,2,6] => 1010110 => [1,1,1,1,2,1] => 1023
[3,7,4,1,8,5,2,6] => 0110110 => [1,2,1,2,1] => 603
[6,7,1,4,8,3,2,5] => 0100110 => [1,1,2,2,1] => 611
[2,7,1,8,4,5,3,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[6,1,2,8,4,3,5,7] => 1001100 => [1,2,2,2] => 363
[6,5,1,4,3,8,2,7] => 1101010 => [2,1,1,1,1,1] => 969
[1,6,2,5,8,3,4,7] => 0100100 => [1,1,2,1,2] => 611
[8,5,1,3,7,2,6,4] => 1100101 => [2,2,1,1,1] => 582
[8,4,2,1,7,3,6,5] => 1110101 => [3,1,1,1,1] => 427
[7,4,2,1,8,5,3,6] => 1110110 => [3,1,2,1] => 259
[1,5,4,2,8,3,6,7] => 0110100 => [1,2,1,1,2] => 603
[6,4,3,1,5,8,2,7] => 1110010 => [3,2,1,1] => 256
[3,7,6,8,4,5,2,1] => 0101011 => [1,1,1,1,1,2] => 1023
[2,7,6,8,5,3,4,1] => 0101101 => [1,1,1,2,1,1] => 1006
[1,7,6,8,5,4,2,3] => 0101110 => [1,1,1,3,1] => 450
[1,4,8,6,7,5,2,3] => 0010110 => [2,1,1,2,1] => 603
[2,4,8,6,7,3,5,1] => 0010101 => [2,1,1,1,1,1] => 969
[7,3,8,5,4,6,2,1] => 1011011 => [1,1,2,1,2] => 611
[3,4,8,5,6,7,2,1] => 0010011 => [2,1,2,2] => 363
[6,3,5,8,4,7,2,1] => 1001011 => [1,2,1,1,2] => 603
[5,4,3,8,6,7,2,1] => 1101011 => [2,1,1,1,2] => 603
[5,4,2,8,7,3,6,1] => 1101101 => [2,1,2,1,1] => 594
[6,2,5,8,7,3,4,1] => 1001101 => [1,2,2,1,1] => 594
[3,2,8,5,7,4,6,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[1,3,8,7,5,6,2,4] => 0011010 => [2,2,1,1,1] => 582
[2,1,8,7,4,6,3,5] => 1011010 => [1,1,2,1,1,1] => 984
[3,1,8,5,7,6,2,4] => 1010110 => [1,1,1,1,2,1] => 1023
[6,1,5,8,7,4,2,3] => 1001110 => [1,2,3,1] => 262
[5,4,1,8,7,6,2,3] => 1101110 => [2,1,3,1] => 262
[5,8,6,7,4,3,2,1] => 0101111 => [1,1,1,4] => 148
[4,8,7,5,6,3,2,1] => 0110111 => [1,2,1,3] => 262
[4,2,1,6,3,5,8,7] => 1101001 => [2,1,1,2,1] => 603
[6,2,1,4,3,5,8,7] => 1101001 => [2,1,1,2,1] => 603
[6,2,1,4,3,8,5,7] => 1101010 => [2,1,1,1,1,1] => 969
[8,2,1,4,3,6,5,7] => 1101010 => [2,1,1,1,1,1] => 969
[8,2,4,1,3,6,5,7] => 1010010 => [1,1,1,2,1,1] => 1006
[6,2,4,1,3,8,5,7] => 1010010 => [1,1,1,2,1,1] => 1006
[6,2,4,1,3,5,8,7] => 1010001 => [1,1,1,3,1] => 450
[4,2,6,1,3,5,8,7] => 1010001 => [1,1,1,3,1] => 450
[2,1,6,4,3,5,8,7] => 1011001 => [1,1,2,2,1] => 611
[2,6,1,4,3,5,8,7] => 0101001 => [1,1,1,1,2,1] => 1023
[2,6,4,1,3,5,8,7] => 0110001 => [1,2,3,1] => 262
[4,6,2,1,3,5,8,7] => 0110001 => [1,2,3,1] => 262
[6,4,2,1,3,5,8,7] => 1110001 => [3,3,1] => 110
[8,4,2,1,3,6,5,7] => 1110010 => [3,2,1,1] => 256
[8,4,2,1,6,3,5,7] => 1110100 => [3,1,1,2] => 259
[6,4,2,1,8,3,5,7] => 1110100 => [3,1,1,2] => 259
[4,6,2,1,8,3,5,7] => 0110100 => [1,2,1,1,2] => 603
[2,6,1,4,3,8,5,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,1,6,4,3,8,5,7] => 1011010 => [1,1,2,1,1,1] => 984
[2,1,8,4,3,6,5,7] => 1011010 => [1,1,2,1,1,1] => 984
[2,8,1,4,3,6,5,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,8,4,1,3,6,5,7] => 0110010 => [1,2,2,1,1] => 594
[4,8,2,1,3,6,5,7] => 0110010 => [1,2,2,1,1] => 594
[4,8,2,1,6,3,5,7] => 0110100 => [1,2,1,1,2] => 603
[6,8,2,1,4,3,5,7] => 0110100 => [1,2,1,1,2] => 603
[8,6,2,1,4,3,5,7] => 1110100 => [3,1,1,2] => 259
[2,8,1,4,6,3,5,7] => 0100100 => [1,1,2,1,2] => 611
[2,1,8,4,6,3,5,7] => 1010100 => [1,1,1,1,1,2] => 1023
[2,1,6,4,8,3,5,7] => 1010100 => [1,1,1,1,1,2] => 1023
[2,6,1,4,8,3,5,7] => 0100100 => [1,1,2,1,2] => 611
[2,6,4,1,8,3,5,7] => 0110100 => [1,2,1,1,2] => 603
[2,6,4,8,1,3,5,7] => 0101000 => [1,1,1,1,3] => 450
[4,6,2,8,1,3,5,7] => 0101000 => [1,1,1,1,3] => 450
[4,2,6,1,3,8,5,7] => 1010010 => [1,1,1,2,1,1] => 1006
[4,2,6,1,8,3,5,7] => 1010100 => [1,1,1,1,1,2] => 1023
[6,2,4,1,8,3,5,7] => 1010100 => [1,1,1,1,1,2] => 1023
[8,2,4,1,6,3,5,7] => 1010100 => [1,1,1,1,1,2] => 1023
[8,2,1,4,6,3,5,7] => 1100100 => [2,2,1,2] => 357
[6,2,1,4,8,3,5,7] => 1100100 => [2,2,1,2] => 357
[4,2,1,6,8,3,5,7] => 1100100 => [2,2,1,2] => 357
[4,2,1,6,3,8,5,7] => 1101010 => [2,1,1,1,1,1] => 969
[4,2,1,3,6,8,5,7] => 1100010 => [2,3,1,1] => 256
[2,1,4,3,8,6,5,7] => 1010110 => [1,1,1,1,2,1] => 1023
[2,4,1,3,8,6,5,7] => 0100110 => [1,1,2,2,1] => 611
[4,2,1,3,8,6,5,7] => 1100110 => [2,2,2,1] => 357
[4,2,1,8,3,6,5,7] => 1101010 => [2,1,1,1,1,1] => 969
[4,2,1,8,6,3,5,7] => 1101100 => [2,1,2,2] => 363
[6,2,1,8,4,3,5,7] => 1101100 => [2,1,2,2] => 363
[8,2,1,6,4,3,5,7] => 1101100 => [2,1,2,2] => 363
[8,2,6,1,4,3,5,7] => 1010100 => [1,1,1,1,1,2] => 1023
[6,2,8,1,4,3,5,7] => 1010100 => [1,1,1,1,1,2] => 1023
[4,2,8,1,6,3,5,7] => 1010100 => [1,1,1,1,1,2] => 1023
[4,2,8,1,3,6,5,7] => 1010010 => [1,1,1,2,1,1] => 1006
[2,4,8,1,3,6,5,7] => 0010010 => [2,1,2,1,1] => 594
[2,4,1,8,3,6,5,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,1,4,8,3,6,5,7] => 1001010 => [1,2,1,1,1,1] => 969
[2,1,4,8,6,3,5,7] => 1001100 => [1,2,2,2] => 363
[2,4,8,1,6,3,5,7] => 0010100 => [2,1,1,1,2] => 603
[2,4,8,6,1,3,5,7] => 0011000 => [2,2,3] => 153
[4,2,8,6,1,3,5,7] => 1011000 => [1,1,2,3] => 265
[6,2,8,4,1,3,5,7] => 1011000 => [1,1,2,3] => 265
[8,2,6,4,1,3,5,7] => 1011000 => [1,1,2,3] => 265
[8,4,6,2,1,3,5,7] => 1011000 => [1,1,2,3] => 265
[6,4,8,2,1,3,5,7] => 1011000 => [1,1,2,3] => 265
[4,6,8,2,1,3,5,7] => 0011000 => [2,2,3] => 153
[2,6,8,4,1,3,5,7] => 0011000 => [2,2,3] => 153
[2,6,8,1,4,3,5,7] => 0010100 => [2,1,1,1,2] => 603
[2,6,1,8,4,3,5,7] => 0101100 => [1,1,1,2,2] => 622
[2,1,6,8,4,3,5,7] => 1001100 => [1,2,2,2] => 363
[2,1,8,6,4,3,5,7] => 1011100 => [1,1,3,2] => 265
[2,8,1,6,4,3,5,7] => 0101100 => [1,1,1,2,2] => 622
[2,8,6,4,1,3,5,7] => 0111000 => [1,3,3] => 110
[4,8,6,2,1,3,5,7] => 0111000 => [1,3,3] => 110
[6,8,4,2,1,3,5,7] => 0111000 => [1,3,3] => 110
[3,2,6,1,5,4,8,7] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,2,4,3,8,1,7,6] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,2,4,1,5,3,8,7] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,3,6,1,5,2,8,7] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,3,5,2,8,1,7,6] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,3,7,2,6,5,8,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,3,8,2,6,1,7,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,3,8,1,7,2,6,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,3,8,1,5,2,7,6] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,1,8,3,4,2,7,6] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,4,8,1,3,2,7,6] => 1010101 => [1,1,1,1,1,1,1] => 1623
[2,1,5,4,8,3,7,6] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,1,7,6,8,3,4,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,3,7,6,8,1,5,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,3,7,1,8,5,6,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,3,6,5,8,1,7,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,3,5,4,7,2,8,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,3,5,4,8,1,7,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,1,6,3,8,4,5,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,4,6,5,8,1,3,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[2,1,8,4,6,3,7,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,4,6,1,3,2,7,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,1,6,3,4,2,7,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,1,6,3,7,2,5,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,3,5,1,7,2,6,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,3,5,2,6,1,7,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,3,5,2,6,4,8,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,2,6,3,5,1,7,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,2,7,1,5,3,6,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,2,4,1,5,3,7,6] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,2,4,1,7,3,6,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,2,4,3,6,1,7,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[3,2,8,4,6,1,7,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[3,2,8,1,5,4,7,6] => 1010101 => [1,1,1,1,1,1,1] => 1623
[3,2,7,6,8,1,5,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[3,2,7,1,8,5,6,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[3,2,6,5,8,1,7,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,5,7,2,4,3,8,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,5,8,2,4,1,7,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,2,4,1,8,5,6,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,6,8,2,4,1,5,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,6,8,1,5,2,4,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[2,1,7,3,8,5,6,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,1,3,2,8,5,6,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,1,8,5,6,2,4,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,1,8,2,6,4,5,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,2,8,1,5,4,6,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,2,7,4,5,3,8,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,4,7,2,6,3,8,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,4,8,2,6,1,7,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,5,8,1,7,2,4,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[2,1,6,5,8,3,7,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,5,7,4,8,1,3,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,5,7,1,8,3,4,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,1,7,4,8,3,5,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,4,7,1,8,3,6,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,4,6,3,8,1,7,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[2,8,3,1,5,4,6,7] => 0110100 => [1,2,1,1,2] => 603
[2,5,3,4,7,1,8,6] => 0100101 => [1,1,2,1,1,1] => 984
[2,4,8,3,5,7,6,1] => 0010011 => [2,1,2,2] => 363
[4,2,5,3,1,8,6,7] => 1011010 => [1,1,2,1,1,1] => 984
[4,2,1,8,5,3,6,7] => 1101100 => [2,1,2,2] => 363
[5,4,1,3,8,2,6,7] => 1100100 => [2,2,1,2] => 357
[5,1,4,8,3,2,6,7] => 1001100 => [1,2,2,2] => 363
[1,5,8,4,3,2,6,7] => 0011100 => [2,3,2] => 153
[1,8,5,4,3,2,6,7] => 0111100 => [1,4,2] => 85
[1,7,4,3,8,5,2,6] => 0110110 => [1,2,1,2,1] => 603
[1,5,7,3,8,4,2,6] => 0010110 => [2,1,1,2,1] => 603
[5,1,4,7,8,3,2,6] => 1000110 => [1,3,2,1] => 259
[4,8,1,5,7,3,6,2] => 0100101 => [1,1,2,1,1,1] => 984
[8,1,5,3,7,4,6,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[3,8,4,7,6,5,2,1] => 0101111 => [1,1,1,4] => 148
[1,6,8,5,3,7,4,2] => 0011011 => [2,2,1,2] => 357
[6,8,1,7,4,3,5,2] => 0101101 => [1,1,1,2,1,1] => 1006
[6,4,8,1,7,3,5,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,4,8,7,1,5,2,3] => 1011010 => [1,1,2,1,1,1] => 984
[7,6,4,1,3,8,2,5] => 1110010 => [3,2,1,1] => 256
[1,7,5,6,3,2,8,4] => 0101101 => [1,1,1,2,1,1] => 1006
[4,2,1,7,8,5,3,6] => 1100110 => [2,2,2,1] => 357
[2,7,4,6,3,1,8,5] => 0101101 => [1,1,1,2,1,1] => 1006
[2,6,8,4,3,7,5,1] => 0011011 => [2,2,1,2] => 357
[6,2,4,8,3,7,5,1] => 1001011 => [1,2,1,1,2] => 603
[7,2,6,3,4,1,8,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[2,6,7,3,1,4,8,5] => 0011001 => [2,2,2,1] => 357
[2,7,1,8,3,5,4,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,1,7,3,5,8,4,6] => 1010010 => [1,1,1,2,1,1] => 1006
[8,7,1,3,6,2,4,5] => 1100100 => [2,2,1,2] => 357
[8,2,1,7,3,5,6,4] => 1101001 => [2,1,1,2,1] => 603
[7,8,2,6,3,1,5,4] => 0101101 => [1,1,1,2,1,1] => 1006
[8,7,2,6,3,5,4,1] => 1101011 => [2,1,1,1,2] => 603
[1,2,8,7,4,5,6,3] => 0011001 => [2,2,2,1] => 357
[8,3,7,1,5,6,2,4] => 1010010 => [1,1,1,2,1,1] => 1006
[8,6,1,2,7,5,3,4] => 1100110 => [2,2,2,1] => 357
[8,1,6,2,7,4,5,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[1,8,5,2,6,7,4,3] => 0110011 => [1,2,2,2] => 363
[5,2,1,8,6,7,4,3] => 1101011 => [2,1,1,1,2] => 603
[2,8,5,7,6,4,3,1] => 0101111 => [1,1,1,4] => 148
[1,7,8,5,2,6,4,3] => 0011011 => [2,2,1,2] => 357
[7,8,1,6,4,2,5,3] => 0101101 => [1,1,1,2,1,1] => 1006
[7,8,6,1,5,3,2,4] => 0110110 => [1,2,1,2,1] => 603
[7,3,8,6,1,5,2,4] => 1011010 => [1,1,2,1,1,1] => 984
[8,7,6,1,5,3,4,2] => 1110101 => [3,1,1,1,1] => 427
[8,7,1,6,4,5,3,2] => 1101011 => [2,1,1,1,2] => 603
[8,1,7,5,6,4,3,2] => 1010111 => [1,1,1,1,3] => 450
[1,8,6,7,5,4,3,2] => 0101111 => [1,1,1,4] => 148
[6,3,5,2,1,4,8,7] => 1011001 => [1,1,2,2,1] => 611
[6,3,5,7,2,8,4,1] => 1001011 => [1,2,1,1,2] => 603
[8,5,2,7,4,3,1,6] => 1101110 => [2,1,3,1] => 262
[4,5,3,6,1,2,8,7] => 0101001 => [1,1,1,1,2,1] => 1023
[3,5,1,4,6,2,8,7] => 0100101 => [1,1,2,1,1,1] => 984
[8,3,4,5,7,2,1,6] => 1000110 => [1,3,2,1] => 259
[5,7,4,6,3,8,2,1] => 0101011 => [1,1,1,1,1,2] => 1023
[2,8,4,6,3,7,1,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[8,1,4,7,3,6,2,5] => 1001010 => [1,2,1,1,1,1] => 969
[8,3,4,7,5,1,2,6] => 1001100 => [1,2,2,2] => 363
[8,5,1,4,7,3,2,6] => 1100110 => [2,2,2,1] => 357
[8,5,3,7,1,4,2,6] => 1101010 => [2,1,1,1,1,1] => 969
[2,1,8,5,7,4,3,6] => 1010110 => [1,1,1,1,2,1] => 1023
[6,5,3,7,1,8,4,2] => 1101011 => [2,1,1,1,2] => 603
[6,5,1,4,7,8,3,2] => 1100011 => [2,3,2] => 153
[6,3,4,7,5,8,1,2] => 1001010 => [1,2,1,1,1,1] => 969
[5,1,4,6,8,3,7,2] => 1000101 => [1,3,1,1,1] => 427
[4,7,1,3,5,8,6,2] => 0100011 => [1,1,3,2] => 265
[4,8,3,7,1,2,6,5] => 0101001 => [1,1,1,1,2,1] => 1023
[3,8,6,4,1,7,2,5] => 0111010 => [1,3,1,1,1] => 427
[3,8,1,2,5,7,6,4] => 0100011 => [1,1,3,2] => 265
[2,8,7,5,4,1,3,6] => 0111100 => [1,4,2] => 85
[8,7,2,6,4,1,3,5] => 1101100 => [2,1,2,2] => 363
[3,8,6,7,4,2,1,5] => 0101110 => [1,1,1,3,1] => 450
[5,7,6,8,4,2,3,1] => 0101101 => [1,1,1,2,1,1] => 1006
[5,3,7,8,2,4,6,1] => 1001001 => [1,2,1,2,1] => 603
[8,3,6,2,1,4,7,5] => 1011001 => [1,1,2,2,1] => 611
[5,3,7,6,2,1,8,4] => 1011101 => [1,1,3,1,1] => 439
[5,3,6,2,8,7,1,4] => 1010110 => [1,1,1,1,2,1] => 1023
[5,7,8,6,4,2,1,3] => 0011110 => [2,4,1] => 85
[2,6,7,5,4,8,1,3] => 0011010 => [2,2,1,1,1] => 582
[6,1,7,4,5,8,2,3] => 1010010 => [1,1,1,2,1,1] => 1006
[6,7,3,5,1,8,2,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,1,6,7,5,8,3,4] => 1001010 => [1,2,1,1,1,1] => 969
[2,1,5,7,3,6,8,4] => 1001001 => [1,2,1,2,1] => 603
[5,7,3,6,1,2,8,4] => 0101001 => [1,1,1,1,2,1] => 1023
[4,1,7,2,5,6,8,3] => 1010001 => [1,1,1,3,1] => 450
[2,4,7,1,6,5,8,3] => 0010101 => [2,1,1,1,1,1] => 969
[4,6,2,1,8,7,5,3] => 0110111 => [1,2,1,3] => 262
[3,4,6,2,7,8,5,1] => 0010011 => [2,1,2,2] => 363
[4,6,1,2,5,8,7,3] => 0100011 => [1,1,3,2] => 265
[5,6,1,4,8,2,7,3] => 0100101 => [1,1,2,1,1,1] => 984
[5,6,3,1,8,7,2,4] => 0110110 => [1,2,1,2,1] => 603
[3,5,6,4,7,1,8,2] => 0010101 => [2,1,1,1,1,1] => 969
[3,4,6,1,5,7,8,2] => 0010001 => [2,1,3,1] => 262
[3,4,1,5,7,6,8,2] => 0100101 => [1,1,2,1,1,1] => 984
[3,8,2,7,1,6,5,4] => 0101011 => [1,1,1,1,1,2] => 1023
[3,8,2,7,6,1,5,4] => 0101101 => [1,1,1,2,1,1] => 1006
[3,8,2,7,6,5,1,4] => 0101110 => [1,1,1,3,1] => 450
[3,8,2,7,6,5,4,1] => 0101111 => [1,1,1,4] => 148
[4,8,7,2,6,5,3,1] => 0110111 => [1,2,1,3] => 262
[4,8,7,2,6,5,1,3] => 0110110 => [1,2,1,2,1] => 603
[4,8,7,2,6,1,5,3] => 0110101 => [1,2,1,1,1,1] => 969
[4,8,7,2,1,6,5,3] => 0111011 => [1,3,1,2] => 259
[4,8,7,3,1,6,5,2] => 0111011 => [1,3,1,2] => 259
[4,8,7,3,2,1,6,5] => 0111101 => [1,4,1,1] => 145
[4,8,7,3,2,6,1,5] => 0111010 => [1,3,1,1,1] => 427
[4,8,7,3,2,6,5,1] => 0111011 => [1,3,1,2] => 259
[4,8,7,3,6,2,5,1] => 0110101 => [1,2,1,1,1,1] => 969
[4,8,7,3,6,2,1,5] => 0110110 => [1,2,1,2,1] => 603
[4,8,7,3,6,1,5,2] => 0110101 => [1,2,1,1,1,1] => 969
[4,8,7,3,6,5,1,2] => 0110110 => [1,2,1,2,1] => 603
[4,8,7,3,6,5,2,1] => 0110111 => [1,2,1,3] => 262
[5,8,7,6,3,4,2,1] => 0111011 => [1,3,1,2] => 259
[5,8,7,6,3,1,4,2] => 0111101 => [1,4,1,1] => 145
[5,8,7,6,3,2,4,1] => 0111101 => [1,4,1,1] => 145
[5,8,7,6,2,4,3,1] => 0111011 => [1,3,1,2] => 259
[5,8,7,6,2,1,4,3] => 0111101 => [1,4,1,1] => 145
[5,8,7,6,4,2,3,1] => 0111101 => [1,4,1,1] => 145
[5,8,7,6,4,2,1,3] => 0111110 => [1,5,1] => 37
[5,8,7,6,4,1,3,2] => 0111101 => [1,4,1,1] => 145
[5,8,7,6,4,3,1,2] => 0111110 => [1,5,1] => 37
[7,3,4,2,1,6,5,8] => 1011010 => [1,1,2,1,1,1] => 984
[7,3,5,2,6,1,4,8] => 1010100 => [1,1,1,1,1,2] => 1023
[7,3,5,2,6,4,1,8] => 1010110 => [1,1,1,1,2,1] => 1023
[6,3,5,2,7,4,8,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,2,1,5,6,4,3,8] => 1100110 => [2,2,2,1] => 357
[7,3,5,1,6,4,2,8] => 1010110 => [1,1,1,1,2,1] => 1023
[7,4,5,6,1,3,2,8] => 1001010 => [1,2,1,1,1,1] => 969
[1,4,5,7,3,2,8,6] => 0001101 => [3,2,1,1] => 256
[1,4,6,7,3,8,2,5] => 0001010 => [3,1,1,1,1] => 427
[6,4,5,7,3,1,8,2] => 1001101 => [1,2,2,1,1] => 594
[6,4,5,7,1,3,8,2] => 1001001 => [1,2,1,2,1] => 603
[6,3,5,1,7,4,8,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,2,1,5,7,4,8,3] => 1100101 => [2,2,1,1,1] => 582
[3,2,1,5,7,4,8,6] => 1100101 => [2,2,1,1,1] => 582
[2,4,6,7,3,8,1,5] => 0001010 => [3,1,1,1,1] => 427
[1,4,6,7,3,8,5,2] => 0001011 => [3,1,1,2] => 259
[1,5,6,7,8,3,4,2] => 0000101 => [4,1,1,1] => 145
[2,5,6,7,8,3,1,4] => 0000110 => [4,2,1] => 85
[3,2,1,6,7,8,4,5] => 1100010 => [2,3,1,1] => 256
[5,2,1,6,7,8,4,3] => 1100011 => [2,3,2] => 153
[5,3,6,1,7,8,4,2] => 1010011 => [1,1,1,2,2] => 622
[5,4,6,7,1,8,3,2] => 1001011 => [1,2,1,1,2] => 603
[1,5,6,7,8,3,2,4] => 0000110 => [4,2,1] => 85
[6,4,5,7,2,1,8,3] => 1001101 => [1,2,2,1,1] => 594
[5,4,6,7,2,8,3,1] => 1001011 => [1,2,1,1,2] => 603
[5,3,6,2,7,8,4,1] => 1010011 => [1,1,1,2,2] => 622
[5,3,6,2,7,8,1,4] => 1010010 => [1,1,1,2,1,1] => 1006
[6,3,5,2,7,1,8,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,3,4,2,1,7,8,5] => 1011001 => [1,1,2,2,1] => 611
[5,3,4,1,2,7,8,6] => 1010001 => [1,1,1,3,1] => 450
[4,3,6,2,7,8,1,5] => 1010010 => [1,1,1,2,1,1] => 1006
[4,3,6,2,7,8,5,1] => 1010011 => [1,1,1,2,2] => 622
[1,3,6,2,7,8,5,4] => 0010011 => [2,1,2,2] => 363
[1,4,6,7,2,8,5,3] => 0001011 => [3,1,1,2] => 259
[3,4,6,7,2,8,5,1] => 0001011 => [3,1,1,2] => 259
[3,4,5,7,2,1,8,6] => 0001101 => [3,2,1,1] => 256
[4,2,1,5,7,3,8,6] => 1100101 => [2,2,1,1,1] => 582
[4,2,1,6,7,8,3,5] => 1100010 => [2,3,1,1] => 256
[4,3,6,1,7,8,2,5] => 1010010 => [1,1,1,2,1,1] => 1006
[1,5,6,7,8,2,4,3] => 0000101 => [4,1,1,1] => 145
[1,5,6,7,8,4,2,3] => 0000110 => [4,2,1] => 85
[3,4,6,7,1,8,5,2] => 0001011 => [3,1,1,2] => 259
[4,3,6,1,7,8,5,2] => 1010011 => [1,1,1,2,2] => 622
[4,2,1,6,7,8,5,3] => 1100011 => [2,3,2] => 153
[2,3,6,1,7,8,5,4] => 0010011 => [2,1,2,2] => 363
[2,4,6,7,1,8,5,3] => 0001011 => [3,1,1,2] => 259
[2,5,6,7,8,1,4,3] => 0000101 => [4,1,1,1] => 145
[2,1,4,3,6,5,8,7,9] => 10101010 => [1,1,1,1,1,1,1,1] => 10176
[2,4,1,3,6,5,8,7,9] => 01001010 => [1,1,2,1,1,1,1] => 6040
[2,4,1,6,3,5,8,7,9] => 01010010 => [1,1,1,1,2,1,1] => 6264
[2,4,1,6,3,8,5,7,9] => 01010100 => [1,1,1,1,1,1,2] => 6344
[2,4,1,6,3,7,5,9,8] => 01010101 => [1,1,1,1,1,1,1,1] => 10176
[2,4,1,5,3,7,6,9,8] => 01010101 => [1,1,1,1,1,1,1,1] => 10176
[2,3,1,5,4,7,6,9,8] => 01010101 => [1,1,1,1,1,1,1,1] => 10176
[1,3,2,5,4,7,6,9,8] => 01010101 => [1,1,1,1,1,1,1,1] => 10176
[2,4,6,1,3,5,8,7,9] => 00100010 => [2,1,3,1,1] => 1580
[2,4,1,6,8,3,5,7,9] => 01001000 => [1,1,2,1,3] => 1626
[2,4,1,6,3,8,9,5,7] => 01010010 => [1,1,1,1,2,1,1] => 6264
[2,4,1,6,3,7,5,8,9] => 01010100 => [1,1,1,1,1,1,2] => 6344
[2,4,1,5,3,8,6,9,7] => 01010101 => [1,1,1,1,1,1,1,1] => 10176
[2,3,1,6,4,7,5,9,8] => 01010101 => [1,1,1,1,1,1,1,1] => 10176
[1,4,2,5,3,7,6,9,8] => 01010101 => [1,1,1,1,1,1,1,1] => 10176
[7,1,2,3,4,5,6,8,9] => 10000000 => [1,7] => 8
[1,4,3,6,2,5,7,8] => 0101000 => [1,1,1,1,3] => 450
[1,4,3,7,2,5,6,8] => 0101000 => [1,1,1,1,3] => 450
[1,4,3,7,6,8,2,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,4,3,7,5,8,2,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,4,3,7,2,6,5,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,5,3,7,4,8,2,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,3,2,6,5,8,4,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,5,4,8,2,6,3,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,5,4,8,3,7,2,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,2,3,6,5,8,4,7] => 0001010 => [3,1,1,1,1] => 427
[6,8,2,4,5,7,1,3] => 0100010 => [1,1,3,1,1] => 439
[3,7,8,4,5,2,6,1] => 0010101 => [2,1,1,1,1,1] => 969
[7,8,1,4,5,3,6,2] => 0100101 => [1,1,2,1,1,1] => 984
[3,8,7,4,1,6,5,2] => 0111011 => [1,3,1,2] => 259
[4,8,3,6,1,5,7,2] => 0101001 => [1,1,1,1,2,1] => 1023
[5,8,3,1,6,4,7,2] => 0110101 => [1,2,1,1,1,1] => 969
[5,8,1,4,7,6,3,2] => 0100111 => [1,1,2,3] => 265
[7,5,1,8,6,2,4,3] => 1101101 => [2,1,2,1,1] => 594
[7,4,1,8,2,6,3,5] => 1101010 => [2,1,1,1,1,1] => 969
[7,1,8,4,2,6,3,5] => 1011010 => [1,1,2,1,1,1] => 984
[1,6,3,8,5,2,4,7] => 0101100 => [1,1,1,2,2] => 622
[6,1,3,8,5,2,4,7] => 1001100 => [1,2,2,2] => 363
[7,1,8,3,6,2,5,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,3,1,8,4,2,6,5] => 1101101 => [2,1,2,1,1] => 594
[7,2,8,4,1,6,5,3] => 1011011 => [1,1,2,1,2] => 611
[7,2,8,3,6,5,1,4] => 1010110 => [1,1,1,1,2,1] => 1023
[7,2,8,3,6,1,5,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,1,8,2,3,6,5,4] => 1010011 => [1,1,1,2,2] => 622
[6,1,2,8,3,5,4,7] => 1001010 => [1,2,1,1,1,1] => 969
[1,5,2,3,8,4,7,6] => 0100101 => [1,1,2,1,1,1] => 984
[5,1,2,3,8,4,7,6] => 1000101 => [1,3,1,1,1] => 427
[5,2,3,8,1,4,7,6] => 1001001 => [1,2,1,2,1] => 603
[6,2,8,1,3,5,4,7] => 1010010 => [1,1,1,2,1,1] => 1006
[6,2,4,1,8,7,3,5] => 1010110 => [1,1,1,1,2,1] => 1023
[6,3,1,4,2,8,5,7] => 1101010 => [2,1,1,1,1,1] => 969
[3,1,6,4,2,8,5,7] => 1011010 => [1,1,2,1,1,1] => 984
[2,6,3,8,7,1,5,4] => 0101101 => [1,1,1,2,1,1] => 1006
[2,6,3,8,5,1,4,7] => 0101100 => [1,1,1,2,2] => 622
[2,5,1,8,3,4,7,6] => 0101001 => [1,1,1,1,2,1] => 1023
[2,5,1,3,8,4,7,6] => 0100101 => [1,1,2,1,1,1] => 984
[1,2,5,3,8,4,7,6] => 0010101 => [2,1,1,1,1,1] => 969
[1,2,4,8,3,7,6,5] => 0001011 => [3,1,1,2] => 259
[2,4,8,1,3,7,6,5] => 0010011 => [2,1,2,2] => 363
[2,4,8,3,7,1,6,5] => 0010101 => [2,1,1,1,1,1] => 969
[2,4,8,3,7,6,1,5] => 0010110 => [2,1,1,2,1] => 603
[2,5,3,8,1,7,4,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,5,4,1,3,8,7,6] => 0110011 => [1,2,2,2] => 363
[3,1,5,4,8,2,7,6] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,3,1,4,8,2,7,6] => 1100101 => [2,2,1,1,1] => 582
[5,2,3,8,4,7,1,6] => 1001010 => [1,2,1,1,1,1] => 969
[4,8,2,3,7,6,1,5] => 0100110 => [1,1,2,2,1] => 611
[4,8,2,3,7,1,6,5] => 0100101 => [1,1,2,1,1,1] => 984
[4,8,1,2,3,7,6,5] => 0100011 => [1,1,3,2] => 265
[1,4,8,2,3,7,6,5] => 0010011 => [2,1,2,2] => 363
[1,4,8,3,7,2,6,5] => 0010101 => [2,1,1,1,1,1] => 969
[6,3,8,1,5,2,4,7] => 1010100 => [1,1,1,1,1,2] => 1023
[5,3,8,1,2,4,7,6] => 1010001 => [1,1,1,3,1] => 450
[5,1,3,8,2,4,7,6] => 1001001 => [1,2,1,2,1] => 603
[1,5,3,8,2,4,7,6] => 0101001 => [1,1,1,1,2,1] => 1023
[1,5,4,8,2,7,6,3] => 0101011 => [1,1,1,1,1,2] => 1023
[5,1,4,8,2,7,6,3] => 1001011 => [1,2,1,1,2] => 603
[5,4,8,1,2,7,6,3] => 1010011 => [1,1,1,2,2] => 622
[6,5,1,2,8,7,4,3] => 1100111 => [2,2,3] => 153
[5,3,1,6,4,2,8,7] => 1101101 => [2,1,2,1,1] => 594
[5,1,6,2,8,7,4,3] => 1010111 => [1,1,1,1,3] => 450
[4,1,5,8,2,7,6,3] => 1001011 => [1,2,1,1,2] => 603
[4,1,2,5,8,7,6,3] => 1000111 => [1,3,3] => 110
[1,4,2,5,8,7,6,3] => 0100111 => [1,1,2,3] => 265
[1,3,5,2,8,7,4,6] => 0010110 => [2,1,1,2,1] => 603
[3,5,1,2,8,7,4,6] => 0100110 => [1,1,2,2,1] => 611
[3,6,2,8,7,5,1,4] => 0101110 => [1,1,1,3,1] => 450
[4,2,6,1,8,7,3,5] => 1010110 => [1,1,1,1,2,1] => 1023
[4,3,1,5,8,2,7,6] => 1100101 => [2,2,1,1,1] => 582
[3,5,2,8,7,1,4,6] => 0101100 => [1,1,1,2,2] => 622
[3,4,8,7,2,6,1,5] => 0011010 => [2,2,1,1,1] => 582
[3,4,8,7,1,2,6,5] => 0011001 => [2,2,2,1] => 357
[3,4,8,1,7,2,6,5] => 0010101 => [2,1,1,1,1,1] => 969
[1,3,4,8,7,2,6,5] => 0001101 => [3,2,1,1] => 256
[1,3,4,8,2,7,6,5] => 0001011 => [3,1,1,2] => 259
[3,4,8,1,2,7,6,5] => 0010011 => [2,1,2,2] => 363
[3,4,8,2,7,1,6,5] => 0010101 => [2,1,1,1,1,1] => 969
[3,4,8,2,7,6,1,5] => 0010110 => [2,1,1,2,1] => 603
[4,2,5,8,1,7,6,3] => 1001011 => [1,2,1,1,2] => 603
[4,3,1,2,5,8,7,6] => 1100011 => [2,3,2] => 153
[3,1,4,2,5,8,7,6] => 1010011 => [1,1,1,2,2] => 622
[2,3,5,1,8,7,6,4] => 0010111 => [2,1,1,3] => 262
[7,8,2,1,5,3,6,4] => 0110101 => [1,2,1,1,1,1] => 969
[6,4,1,2,7,3,5,8] => 1100100 => [2,2,1,2] => 357
[2,3,7,5,4,1,8,6] => 0011101 => [2,3,1,1] => 256
[6,3,1,5,4,2,7,8] => 1101100 => [2,1,2,2] => 363
[7,8,1,5,4,2,6,3] => 0101101 => [1,1,1,2,1,1] => 1006
[7,8,3,5,4,1,6,2] => 0101101 => [1,1,1,2,1,1] => 1006
[7,8,2,5,4,1,3,6] => 0101100 => [1,1,1,2,2] => 622
[7,8,2,5,4,6,1,3] => 0101010 => [1,1,1,1,1,1,1] => 1623
[6,2,1,5,4,7,3,8] => 1101010 => [2,1,1,1,1,1] => 969
[5,3,6,1,4,7,8,2] => 1010001 => [1,1,1,3,1] => 450
[5,3,6,2,4,7,1,8] => 1010010 => [1,1,1,2,1,1] => 1006
[6,4,2,1,7,3,8,5] => 1110101 => [3,1,1,1,1] => 427
[4,3,7,5,8,6,1,2] => 1010110 => [1,1,1,1,2,1] => 1023
[4,2,7,1,8,3,6,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[3,2,6,7,4,8,1,5] => 1001010 => [1,2,1,1,1,1] => 969
[3,1,6,7,4,8,5,2] => 1001011 => [1,2,1,1,2] => 603
[1,7,6,5,3,8,4,2] => 0111011 => [1,3,1,2] => 259
[2,7,6,5,3,8,1,4] => 0111010 => [1,3,1,1,1] => 427
[1,7,6,5,2,4,8,3] => 0111001 => [1,3,2,1] => 259
[2,7,6,5,3,1,4,8] => 0111100 => [1,4,2] => 85
[2,7,1,4,8,3,5,6] => 0100100 => [1,1,2,1,2] => 611
[3,7,6,4,8,5,1,2] => 0110110 => [1,2,1,2,1] => 603
[5,7,6,3,8,4,1,2] => 0110110 => [1,2,1,2,1] => 603
[5,1,6,2,4,8,3,7] => 1010010 => [1,1,1,2,1,1] => 1006
[4,7,6,5,2,1,3,8] => 0111100 => [1,4,2] => 85
[4,7,6,5,2,8,1,3] => 0111010 => [1,3,1,1,1] => 427
[4,7,6,5,1,8,3,2] => 0111011 => [1,3,1,2] => 259
[1,7,6,5,2,8,3,4] => 0111010 => [1,3,1,1,1] => 427
[1,7,6,5,3,2,8,4] => 0111101 => [1,4,1,1] => 145
[4,7,6,5,1,2,8,3] => 0111001 => [1,3,2,1] => 259
[4,7,6,5,3,1,8,2] => 0111101 => [1,4,1,1] => 145
[6,1,3,5,4,8,7,2] => 1001011 => [1,2,1,1,2] => 603
[5,2,6,3,4,1,7,8] => 1010100 => [1,1,1,1,1,2] => 1023
[5,1,6,2,4,7,8,3] => 1010001 => [1,1,1,3,1] => 450
[1,2,6,3,4,8,7,5] => 0010011 => [2,1,2,2] => 363
[1,7,2,4,8,3,6,5] => 0100101 => [1,1,2,1,1,1] => 984
[6,1,4,2,8,3,5,7] => 1010100 => [1,1,1,1,1,2] => 1023
[4,1,8,2,6,3,5,7] => 1010100 => [1,1,1,1,1,2] => 1023
[4,7,2,1,5,3,6,8] => 0110100 => [1,2,1,1,2] => 603
[4,7,1,6,2,3,8,5] => 0101001 => [1,1,1,1,2,1] => 1023
[1,7,2,6,8,3,5,4] => 0100101 => [1,1,2,1,1,1] => 984
[1,2,6,7,4,8,5,3] => 0001011 => [3,1,1,2] => 259
[3,1,6,7,4,2,8,5] => 1001101 => [1,2,2,1,1] => 594
[3,2,8,5,4,6,1,7] => 1011010 => [1,1,2,1,1,1] => 984
[4,7,6,3,5,8,1,2] => 0110010 => [1,2,2,1,1] => 594
[4,7,1,2,5,3,8,6] => 0100101 => [1,1,2,1,1,1] => 984
[3,7,6,5,2,4,1,8] => 0111010 => [1,3,1,1,1] => 427
[3,7,6,5,1,4,8,2] => 0111001 => [1,3,2,1] => 259
[3,7,6,5,2,1,8,4] => 0111101 => [1,4,1,1] => 145
[1,7,6,5,8,2,4,3] => 0110101 => [1,2,1,1,1,1] => 969
[3,7,6,5,8,1,4,2] => 0110101 => [1,2,1,1,1,1] => 969
[3,7,6,5,1,2,4,8] => 0111000 => [1,3,3] => 110
[3,1,6,8,4,2,5,7] => 1001100 => [1,2,2,2] => 363
[4,7,6,8,3,5,1,2] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,7,6,5,1,4,3,8] => 0111010 => [1,3,1,1,1] => 427
[2,7,6,5,8,1,3,4] => 0110100 => [1,2,1,1,2] => 603
[2,7,6,5,8,4,1,3] => 0110110 => [1,2,1,2,1] => 603
[6,3,2,1,7,4,8,5] => 1110101 => [3,1,1,1,1] => 427
[4,2,1,7,3,5,8,6] => 1101001 => [2,1,1,2,1] => 603
[7,3,1,5,4,2,8,6] => 1101101 => [2,1,2,1,1] => 594
[8,4,1,5,2,7,6,3] => 1101011 => [2,1,1,1,2] => 603
[8,2,5,1,3,7,6,4] => 1010011 => [1,1,1,2,2] => 622
[4,3,7,2,1,5,8,6] => 1011001 => [1,1,2,2,1] => 611
[4,7,2,5,3,1,8,6] => 0101101 => [1,1,1,2,1,1] => 1006
[2,7,5,4,1,3,8,6] => 0111001 => [1,3,2,1] => 259
[7,5,4,3,2,1,8,6] => 1111101 => [5,1,1] => 37
[6,5,2,1,8,4,3,7] => 1110110 => [3,1,2,1] => 259
[4,6,3,2,8,1,5,7] => 0110100 => [1,2,1,1,2] => 603
[5,7,4,3,2,8,1,6] => 0111010 => [1,3,1,1,1] => 427
[1,7,6,2,4,8,3,5] => 0110010 => [1,2,2,1,1] => 594
[2,7,3,6,4,8,1,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[6,2,7,5,3,8,1,4] => 1011010 => [1,1,2,1,1,1] => 984
[7,1,8,5,3,6,4,2] => 1011011 => [1,1,2,1,2] => 611
[5,8,3,2,7,1,6,4] => 0110101 => [1,2,1,1,1,1] => 969
[8,7,3,1,6,5,4,2] => 1110111 => [3,1,3] => 110
[8,7,2,6,1,5,4,3] => 1101011 => [2,1,1,1,2] => 603
[1,8,5,7,4,3,6,2] => 0101101 => [1,1,1,2,1,1] => 1006
[1,8,5,7,2,4,6,3] => 0101001 => [1,1,1,1,2,1] => 1023
[3,8,6,1,7,2,5,4] => 0110101 => [1,2,1,1,1,1] => 969
[7,2,8,5,6,1,4,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,3,7,5,8,2,1,4] => 1010110 => [1,1,1,1,2,1] => 1023
[3,7,2,6,8,4,1,5] => 0100110 => [1,1,2,2,1] => 611
[3,6,5,8,1,4,2,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,6,5,8,4,1,3,7] => 0101100 => [1,1,1,2,2] => 622
[6,5,4,8,3,2,1,7] => 1101110 => [2,1,3,1] => 262
[8,4,3,7,2,1,6,5] => 1101101 => [2,1,2,1,1] => 594
[8,2,4,7,1,3,6,5] => 1001001 => [1,2,1,2,1] => 603
[6,2,5,8,1,4,3,7] => 1001010 => [1,2,1,1,1,1] => 969
[4,3,6,8,2,1,5,7] => 1001100 => [1,2,2,2] => 363
[6,3,5,1,8,4,2,7] => 1010110 => [1,1,1,1,2,1] => 1023
[8,4,1,5,7,3,6,2] => 1100101 => [2,2,1,1,1] => 582
[6,4,2,5,8,3,1,7] => 1100110 => [2,2,2,1] => 357
[5,4,1,6,8,2,3,7] => 1100100 => [2,2,1,2] => 357
[6,3,7,4,8,5,2,1] => 1010111 => [1,1,1,1,3] => 450
[4,7,2,5,8,6,3,1] => 0100111 => [1,1,2,3] => 265
[6,3,1,8,4,7,5,2] => 1101011 => [2,1,1,1,2] => 603
[6,5,3,8,7,4,1,2] => 1101110 => [2,1,3,1] => 262
[5,4,8,1,7,6,2,3] => 1010110 => [1,1,1,1,2,1] => 1023
[5,2,8,1,7,3,6,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,7,3,8,1,6,4,2] => 0101011 => [1,1,1,1,1,2] => 1023
[6,4,7,8,1,5,3,2] => 1001011 => [1,2,1,1,2] => 603
[2,5,8,7,1,3,6,4] => 0011001 => [2,2,2,1] => 357
[5,3,8,7,2,1,6,4] => 1011101 => [1,1,3,1,1] => 439
[8,3,7,6,1,5,4,2] => 1011011 => [1,1,2,1,2] => 611
[8,2,7,6,5,1,4,3] => 1011101 => [1,1,3,1,1] => 439
[4,3,8,7,6,2,1,5] => 1011110 => [1,1,4,1] => 148
[2,4,8,7,6,1,3,5] => 0011100 => [2,3,2] => 153
[3,5,8,7,2,6,1,4] => 0011010 => [2,2,1,1,1] => 582
[4,7,3,8,6,5,1,2] => 0101110 => [1,1,1,3,1] => 450
[7,5,8,6,4,3,2,1] => 1011111 => [1,1,5] => 37
[5,8,7,3,6,4,2,1] => 0110111 => [1,2,1,3] => 262
[4,8,7,6,2,5,3,1] => 0111011 => [1,3,1,2] => 259
[3,8,7,6,5,1,4,2] => 0111101 => [1,4,1,1] => 145
[2,8,7,6,5,4,1,3] => 0111110 => [1,5,1] => 37
[3,4,1,2,5,6,7,8,9] => 01000000 => [1,1,6] => 50
[3,2,1,4,5,6,7,8,9] => 11000000 => [2,6] => 28
[4,5,6,1,2,3,7,8,9] => 00100000 => [2,1,5] => 138
[4,2,5,1,3,6,7,8,9] => 10100000 => [1,1,1,5] => 244
[4,3,2,1,5,6,7,8,9] => 11100000 => [3,5] => 56
[5,6,7,8,1,2,3,4,9] => 00010000 => [3,1,4] => 220
[5,2,6,7,1,3,4,8,9] => 10010000 => [1,2,1,4] => 534
[5,6,3,4,1,2,7,8,9] => 01010000 => [1,1,1,1,4] => 934
[5,3,2,6,1,4,7,8,9] => 11010000 => [2,1,1,4] => 534
[5,4,3,2,1,6,7,8,9] => 11110000 => [4,4] => 70
[6,2,7,8,9,1,3,4,5] => 10001000 => [1,3,1,3] => 676
[6,7,3,4,8,1,2,5,9] => 01001000 => [1,1,2,1,3] => 1626
[6,3,2,7,8,1,4,5,9] => 11001000 => [2,2,1,3] => 934
[6,4,7,2,5,1,3,8,9] => 10101000 => [1,1,1,1,1,3] => 2790
[6,4,3,2,7,1,5,8,9] => 11101000 => [3,1,1,3] => 676
[6,5,4,3,2,1,7,8,9] => 11111000 => [5,3] => 56
[7,4,8,2,5,9,1,3,6] => 10100100 => [1,1,1,2,1,2] => 3790
[7,4,3,2,8,9,1,5,6] => 11100100 => [3,2,1,2] => 924
[7,8,5,6,3,4,1,2,9] => 01010100 => [1,1,1,1,1,1,2] => 6344
[7,5,3,8,2,6,1,4,9] => 11010100 => [2,1,1,1,1,2] => 3696
[7,5,4,3,2,8,1,6,9] => 11110100 => [4,1,1,2] => 526
[7,6,5,4,3,2,1,8,9] => 11111100 => [6,2] => 28
[8,6,9,4,7,2,5,1,3] => 10101010 => [1,1,1,1,1,1,1,1] => 10176
[8,6,4,3,9,2,7,1,5] => 11101010 => [3,1,1,1,1,1] => 2592
[8,6,5,4,3,2,9,1,7] => 11111010 => [5,1,1,1] => 240
[3,6,5,1,2,4,8,7] => 0110001 => [1,2,3,1] => 262
[3,7,5,8,2,4,1,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,8,5,7,2,4,1,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,1,7,8,4,3,2,6] => 1001110 => [1,2,3,1] => 262
[5,1,2,6,4,3,8,7] => 1001101 => [1,2,2,1,1] => 594
[6,1,2,5,4,3,8,7] => 1001101 => [1,2,2,1,1] => 594
[5,1,2,4,6,3,8,7] => 1000101 => [1,3,1,1,1] => 427
[4,1,2,6,5,3,8,7] => 1001101 => [1,2,2,1,1] => 594
[4,1,5,7,8,3,2,6] => 1000110 => [1,3,2,1] => 259
[4,1,5,8,7,3,2,6] => 1001110 => [1,2,3,1] => 262
[4,7,1,8,3,6,2,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,1,7,8,5,2,3,6] => 1001100 => [1,2,2,2] => 363
[5,1,7,4,8,2,3,6] => 1010100 => [1,1,1,1,1,2] => 1023
[7,5,3,8,1,4,2,6] => 1101010 => [2,1,1,1,1,1] => 969
[2,1,5,8,7,3,4,6] => 1001100 => [1,2,2,2] => 363
[5,1,8,4,7,2,3,6] => 1010100 => [1,1,1,1,1,2] => 1023
[4,1,8,7,5,2,3,6] => 1011100 => [1,1,3,2] => 265
[4,7,1,6,3,2,8,5] => 0101101 => [1,1,1,2,1,1] => 1006
[6,1,2,3,7,5,8,4] => 1000101 => [1,3,1,1,1] => 427
[7,1,2,3,8,6,5,4] => 1000111 => [1,3,3] => 110
[7,1,2,3,5,8,6,4] => 1000011 => [1,4,2] => 85
[6,8,1,4,3,7,2,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[8,7,3,2,4,1,6,5] => 1110101 => [3,1,1,1,1] => 427
[2,1,7,3,4,8,6,5] => 1010011 => [1,1,1,2,2] => 622
[7,8,3,2,4,1,6,5] => 0110101 => [1,2,1,1,1,1] => 969
[6,7,1,4,3,8,2,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[8,1,2,3,5,7,6,4] => 1000011 => [1,4,2] => 85
[8,1,2,3,6,7,5,4] => 1000011 => [1,4,2] => 85
[7,1,2,3,6,8,5,4] => 1000011 => [1,4,2] => 85
[7,1,2,3,8,5,6,4] => 1000101 => [1,3,1,1,1] => 427
[8,1,2,3,7,5,6,4] => 1000101 => [1,3,1,1,1] => 427
[8,1,2,3,6,5,7,4] => 1000101 => [1,3,1,1,1] => 427
[7,1,8,5,4,3,2,6] => 1011110 => [1,1,4,1] => 148
[7,8,2,6,3,4,1,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[6,8,2,7,3,4,1,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[6,7,2,8,3,4,1,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,8,7,1,4,2,6,5] => 0110101 => [1,2,1,1,1,1] => 969
[3,7,8,1,4,2,6,5] => 0010101 => [2,1,1,1,1,1] => 969
[3,6,8,1,4,2,7,5] => 0010101 => [2,1,1,1,1,1] => 969
[3,5,7,8,2,4,1,6] => 0001010 => [3,1,1,1,1] => 427
[3,6,7,1,4,2,8,5] => 0010101 => [2,1,1,1,1,1] => 969
[7,6,2,8,3,1,4,5] => 1101100 => [2,1,2,2] => 363
[8,6,2,7,3,1,4,5] => 1101100 => [2,1,2,2] => 363
[8,1,7,5,4,3,2,6] => 1011110 => [1,1,4,1] => 148
[8,1,7,4,5,3,2,6] => 1010110 => [1,1,1,1,2,1] => 1023
[5,8,3,7,1,4,2,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,1,7,3,4,6,8,5] => 1010001 => [1,1,1,3,1] => 450
[6,7,3,2,4,1,8,5] => 0110101 => [1,2,1,1,1,1] => 969
[8,7,2,4,3,6,1,5] => 1101010 => [2,1,1,1,1,1] => 969
[7,1,2,3,5,6,8,4] => 1000001 => [1,5,1] => 37
[6,1,2,3,8,7,4,5] => 1000110 => [1,3,2,1] => 259
[5,1,2,3,7,8,6,4] => 1000011 => [1,4,2] => 85
[5,1,2,3,8,7,6,4] => 1000111 => [1,3,3] => 110
[5,1,2,3,8,6,7,4] => 1000101 => [1,3,1,1,1] => 427
[6,1,2,3,5,8,7,4] => 1000011 => [1,4,2] => 85
[8,6,2,4,3,1,7,5] => 1101101 => [2,1,2,1,1] => 594
[7,6,3,2,4,8,1,5] => 1110010 => [3,2,1,1] => 256
[2,1,6,3,4,8,7,5] => 1010011 => [1,1,1,2,2] => 622
[8,6,3,2,4,7,1,5] => 1110010 => [3,2,1,1] => 256
[7,6,2,4,3,1,8,5] => 1101101 => [2,1,2,1,1] => 594
[6,1,2,3,5,7,8,4] => 1000001 => [1,5,1] => 37
[5,1,2,3,6,8,7,4] => 1000011 => [1,4,2] => 85
[7,8,1,2,6,3,5,4] => 0100101 => [1,1,2,1,1,1] => 984
[1,4,8,2,7,3,5,6] => 0010100 => [2,1,1,1,2] => 603
[1,2,8,5,4,7,3,6] => 0011010 => [2,2,1,1,1] => 582
[1,3,8,5,4,2,7,6] => 0011101 => [2,3,1,1] => 256
[2,3,6,8,4,7,1,5] => 0001010 => [3,1,1,1,1] => 427
[1,3,6,8,4,7,5,2] => 0001011 => [3,1,1,2] => 259
[2,4,8,1,7,3,6,5] => 0010101 => [2,1,1,1,1,1] => 969
[3,4,8,5,7,6,1,2] => 0010110 => [2,1,1,2,1] => 603
[1,2,6,8,4,5,7,3] => 0001001 => [3,1,2,1] => 259
[7,5,1,2,4,3,6,8] => 1100100 => [2,2,1,2] => 357
[7,4,6,1,5,2,3,8] => 1010100 => [1,1,1,1,1,2] => 1023
[7,1,4,2,6,3,5,8] => 1010100 => [1,1,1,1,1,2] => 1023
[6,8,1,4,7,2,3,5] => 0100100 => [1,1,2,1,2] => 611
[1,6,4,2,8,3,5,7] => 0110100 => [1,2,1,1,2] => 603
[1,6,3,8,5,4,2,7] => 0101110 => [1,1,1,3,1] => 450
[6,8,1,7,3,5,4,2] => 0101011 => [1,1,1,1,1,2] => 1023
[7,1,3,6,5,4,2,8] => 1001110 => [1,2,3,1] => 262
[7,3,1,6,5,4,2,8] => 1101110 => [2,1,3,1] => 262
[7,2,1,4,6,3,5,8] => 1100100 => [2,2,1,2] => 357
[7,2,3,6,5,1,4,8] => 1001100 => [1,2,2,2] => 363
[7,1,2,3,6,5,4,8] => 1000110 => [1,3,2,1] => 259
[6,8,1,2,7,3,5,4] => 0100101 => [1,1,2,1,1,1] => 984
[1,6,2,3,8,5,4,7] => 0100110 => [1,1,2,2,1] => 611
[1,5,8,2,7,6,3,4] => 0010110 => [2,1,1,2,1] => 603
[5,1,8,2,7,6,3,4] => 1010110 => [1,1,1,1,2,1] => 1023
[5,8,2,7,6,3,4,1] => 0101101 => [1,1,1,2,1,1] => 1006
[6,2,8,1,7,3,5,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,8,2,1,7,4,3,5] => 0110110 => [1,2,1,2,1] => 603
[3,6,4,1,2,8,5,7] => 0110010 => [1,2,2,1,1] => 594
[2,1,6,3,8,5,4,7] => 1010110 => [1,1,1,1,2,1] => 1023
[2,5,1,8,7,6,3,4] => 0101110 => [1,1,1,3,1] => 450
[2,5,3,8,7,4,6,1] => 0101101 => [1,1,1,2,1,1] => 1006
[1,2,5,3,8,7,4,6] => 0010110 => [2,1,1,2,1] => 603
[2,4,8,7,6,5,1,3] => 0011110 => [2,4,1] => 85
[2,5,3,8,7,1,6,4] => 0101101 => [1,1,1,2,1,1] => 1006
[2,5,8,4,1,7,6,3] => 0011011 => [2,2,1,2] => 357
[3,5,8,7,1,4,2,6] => 0011010 => [2,2,1,1,1] => 582
[5,3,8,4,1,7,6,2] => 1011011 => [1,1,2,1,2] => 611
[4,2,8,7,6,3,5,1] => 1011101 => [1,1,3,1,1] => 439
[4,2,8,7,6,5,3,1] => 1011111 => [1,1,5] => 37
[4,1,8,7,6,5,3,2] => 1011111 => [1,1,5] => 37
[4,3,8,7,6,5,1,2] => 1011110 => [1,1,4,1] => 148
[6,3,1,8,7,2,5,4] => 1101101 => [2,1,2,1,1] => 594
[5,8,3,7,6,1,4,2] => 0101101 => [1,1,1,2,1,1] => 1006
[5,1,3,8,7,6,2,4] => 1001110 => [1,2,3,1] => 262
[1,5,3,8,7,6,2,4] => 0101110 => [1,1,1,3,1] => 450
[1,5,8,4,7,2,6,3] => 0010101 => [2,1,1,1,1,1] => 969
[5,1,8,4,7,2,6,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,8,7,4,6,1,2,3] => 0110100 => [1,2,1,1,2] => 603
[6,8,5,1,2,4,7,3] => 0110001 => [1,2,3,1] => 262
[5,6,3,1,2,4,8,7] => 0110001 => [1,2,3,1] => 262
[5,6,2,4,3,1,8,7] => 0101101 => [1,1,1,2,1,1] => 1006
[5,6,1,2,4,3,8,7] => 0100101 => [1,1,2,1,1,1] => 984
[4,5,8,1,7,2,3,6] => 0010100 => [2,1,1,1,2] => 603
[4,5,8,1,7,2,6,3] => 0010101 => [2,1,1,1,1,1] => 969
[1,3,2,5,8,7,4,6] => 0100110 => [1,1,2,2,1] => 611
[3,5,1,8,7,4,6,2] => 0101101 => [1,1,1,2,1,1] => 1006
[3,5,1,8,7,2,6,4] => 0101101 => [1,1,1,2,1,1] => 1006
[4,3,6,1,2,8,5,7] => 1010010 => [1,1,1,2,1,1] => 1006
[4,5,8,3,1,7,2,6] => 0011010 => [2,2,1,1,1] => 582
[4,5,2,8,7,1,3,6] => 0101100 => [1,1,1,2,2] => 622
[3,2,5,8,7,1,6,4] => 1001101 => [1,2,2,1,1] => 594
[3,4,8,7,6,2,1,5] => 0011110 => [2,4,1] => 85
[3,1,4,8,7,6,2,5] => 1001110 => [1,2,3,1] => 262
[3,4,8,7,6,5,1,2] => 0011110 => [2,4,1] => 85
[1,3,4,8,7,6,2,5] => 0001110 => [3,3,1] => 110
[3,4,8,7,6,2,5,1] => 0011101 => [2,3,1,1] => 256
[3,2,5,8,7,4,6,1] => 1001101 => [1,2,2,1,1] => 594
[4,5,8,3,1,7,6,2] => 0011011 => [2,2,1,2] => 357
[2,1,3,5,8,7,4,6] => 1000110 => [1,3,2,1] => 259
[1,2,7,5,8,6,4,3] => 0010111 => [2,1,1,3] => 262
[7,1,4,8,2,6,5,3] => 1001011 => [1,2,1,1,2] => 603
[6,8,1,3,7,5,2,4] => 0100110 => [1,1,2,2,1] => 611
[3,7,8,1,2,6,5,4] => 0010011 => [2,1,2,2] => 363
[1,3,7,8,2,6,5,4] => 0001011 => [3,1,1,2] => 259
[2,3,7,8,1,6,5,4] => 0001011 => [3,1,1,2] => 259
[2,7,8,1,3,6,5,4] => 0010011 => [2,1,2,2] => 363
[8,1,2,6,7,3,5,4] => 1000101 => [1,3,1,1,1] => 427
[8,1,2,6,7,5,3,4] => 1000110 => [1,3,2,1] => 259
[8,2,5,7,1,3,6,4] => 1001001 => [1,2,1,2,1] => 603
[2,8,1,6,7,3,5,4] => 0100101 => [1,1,2,1,1,1] => 984
[2,6,8,3,7,1,5,4] => 0010101 => [2,1,1,1,1,1] => 969
[2,8,6,4,7,1,5,3] => 0110101 => [1,2,1,1,1,1] => 969
[6,8,3,4,1,7,5,2] => 0101011 => [1,1,1,1,1,2] => 1023
[6,8,3,7,4,1,5,2] => 0101101 => [1,1,1,2,1,1] => 1006
[2,6,8,3,7,5,1,4] => 0010110 => [2,1,1,2,1] => 603
[2,8,1,6,7,5,3,4] => 0100110 => [1,1,2,2,1] => 611
[8,2,5,7,1,6,3,4] => 1001010 => [1,2,1,1,1,1] => 969
[8,4,7,2,3,6,1,5] => 1010010 => [1,1,1,2,1,1] => 1006
[8,5,7,4,2,6,1,3] => 1011010 => [1,1,2,1,1,1] => 984
[8,3,5,7,4,1,6,2] => 1001101 => [1,2,2,1,1] => 594
[8,5,2,4,7,1,6,3] => 1100101 => [2,2,1,1,1] => 582
[8,2,3,5,7,1,6,4] => 1000101 => [1,3,1,1,1] => 427
[8,2,4,7,3,6,1,5] => 1001010 => [1,2,1,1,1,1] => 969
[8,2,7,1,4,6,3,5] => 1010010 => [1,1,1,2,1,1] => 1006
[8,7,1,2,4,6,3,5] => 1100010 => [2,3,1,1] => 256
[8,7,1,4,6,2,3,5] => 1100100 => [2,2,1,2] => 357
[8,4,7,1,3,6,2,5] => 1010010 => [1,1,1,2,1,1] => 1006
[1,6,8,3,7,2,5,4] => 0010101 => [2,1,1,1,1,1] => 969
[8,3,5,7,1,2,6,4] => 1001001 => [1,2,1,2,1] => 603
[5,8,7,1,3,6,2,4] => 0110010 => [1,2,2,1,1] => 594
[8,5,4,7,1,6,2,3] => 1101010 => [2,1,1,1,1,1] => 969
[8,5,4,7,1,2,6,3] => 1101001 => [2,1,1,2,1] => 603
[8,5,1,4,7,2,6,3] => 1100101 => [2,2,1,1,1] => 582
[1,4,6,8,2,7,5,3] => 0001011 => [3,1,1,2] => 259
[1,6,5,8,2,7,4,3] => 0101011 => [1,1,1,1,1,2] => 1023
[8,5,6,3,1,7,4,2] => 1011011 => [1,1,2,1,2] => 611
[5,6,2,8,1,7,4,3] => 0101011 => [1,1,1,1,1,2] => 1023
[1,8,4,5,7,2,6,3] => 0100101 => [1,1,2,1,1,1] => 984
[5,8,7,3,6,1,2,4] => 0110100 => [1,2,1,1,2] => 603
[8,3,5,7,1,6,2,4] => 1001010 => [1,2,1,1,1,1] => 969
[1,6,8,3,7,5,2,4] => 0010110 => [2,1,1,2,1] => 603
[6,3,8,2,7,5,1,4] => 1010110 => [1,1,1,1,2,1] => 1023
[6,8,4,2,7,1,5,3] => 0110101 => [1,2,1,1,1,1] => 969
[8,6,4,7,3,1,5,2] => 1101101 => [2,1,2,1,1] => 594
[8,4,5,7,3,1,6,2] => 1001101 => [1,2,2,1,1] => 594
[8,4,2,5,7,1,6,3] => 1100101 => [2,2,1,1,1] => 582
[8,3,4,7,2,6,1,5] => 1001010 => [1,2,1,1,1,1] => 969
[8,7,1,3,4,6,2,5] => 1100010 => [2,3,1,1] => 256
[8,3,7,2,4,6,1,5] => 1010010 => [1,1,1,2,1,1] => 1006
[2,8,4,5,7,1,6,3] => 0100101 => [1,1,2,1,1,1] => 984
[8,7,3,4,5,1,6,2] => 1100101 => [2,2,1,1,1] => 582
[8,7,4,5,2,6,1,3] => 1101010 => [2,1,1,1,1,1] => 969
[5,8,7,2,3,6,1,4] => 0110010 => [1,2,2,1,1] => 594
[8,7,2,3,4,6,1,5] => 1100010 => [2,3,1,1] => 256
[8,7,2,3,6,1,4,5] => 1100100 => [2,2,1,2] => 357
[1,3,2,8,5,4,7,6] => 0101101 => [1,1,1,2,1,1] => 1006
[4,2,8,5,3,7,1,6] => 1011010 => [1,1,2,1,1,1] => 984
[5,2,1,8,4,3,7,6] => 1101101 => [2,1,2,1,1] => 594
[6,2,8,4,3,7,5,1] => 1011011 => [1,1,2,1,2] => 611
[7,2,8,4,3,1,6,5] => 1011101 => [1,1,3,1,1] => 439
[7,3,4,8,2,1,6,5] => 1001101 => [1,2,2,1,1] => 594
[6,3,4,8,2,7,5,1] => 1001011 => [1,2,1,1,2] => 603
[5,3,4,1,8,2,7,6] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,1,4,5,2,3,7,6] => 1001001 => [1,2,1,2,1] => 603
[8,1,5,4,3,2,7,6] => 1011101 => [1,1,3,1,1] => 439
[3,5,4,2,8,1,7,6] => 0110101 => [1,2,1,1,1,1] => 969
[4,5,3,2,8,7,1,6] => 0110110 => [1,2,1,2,1] => 603
[6,4,3,2,8,7,5,1] => 1110111 => [3,1,3] => 110
[6,5,3,2,1,7,8,4] => 1111001 => [4,2,1] => 85
[5,6,3,2,7,8,4,1] => 0110011 => [1,2,2,2] => 363
[4,1,6,3,2,7,8,5] => 1011001 => [1,1,2,2,1] => 611
[3,6,4,2,7,8,1,5] => 0110010 => [1,2,2,1,1] => 594
[8,1,6,4,3,7,2,5] => 1011010 => [1,1,2,1,1,1] => 984
[8,1,7,4,3,6,5,2] => 1011011 => [1,1,2,1,2] => 611
[2,7,4,1,3,6,5,8] => 0110010 => [1,2,2,1,1] => 594
[3,7,4,2,6,1,5,8] => 0110100 => [1,2,1,1,2] => 603
[4,1,7,3,2,6,5,8] => 1011010 => [1,1,2,1,1,1] => 984
[5,7,3,2,6,4,8,1] => 0110101 => [1,2,1,1,1,1] => 969
[6,7,3,2,5,4,1,8] => 0110110 => [1,2,1,2,1] => 603
[7,6,3,2,1,5,4,8] => 1111010 => [4,1,1,1] => 145
[4,7,5,6,2,3,8,1] => 0101001 => [1,1,1,1,2,1] => 1023
[3,1,7,5,6,2,4,8] => 1010100 => [1,1,1,1,1,2] => 1023
[2,7,5,6,1,3,4,8] => 0101000 => [1,1,1,1,3] => 450
[2,6,5,7,1,3,8,4] => 0101001 => [1,1,1,1,2,1] => 1023
[4,6,5,7,2,8,1,3] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,6,4,7,2,8,3,1] => 0101011 => [1,1,1,1,1,2] => 1023
[6,5,4,1,7,2,8,3] => 1110101 => [3,1,1,1,1] => 427
[7,5,4,6,2,1,8,3] => 1101101 => [2,1,2,1,1] => 594
[6,4,5,7,1,8,2,3] => 1001010 => [1,2,1,1,1,1] => 969
[5,4,6,1,7,8,2,3] => 1010010 => [1,1,1,2,1,1] => 1006
[8,1,5,6,7,2,3,4] => 1000100 => [1,3,1,2] => 259
[2,1,4,6,8,7,3,5] => 1000110 => [1,3,2,1] => 259
[3,4,6,8,7,1,2,5] => 0001100 => [3,2,2] => 153
[4,3,1,6,8,7,2,5] => 1100110 => [2,2,2,1] => 357
[5,3,6,8,7,2,4,1] => 1001101 => [1,2,2,1,1] => 594
[6,3,5,1,8,7,2,4] => 1010110 => [1,1,1,1,2,1] => 1023
[7,3,5,8,6,2,1,4] => 1001110 => [1,2,3,1] => 262
[7,2,8,5,6,3,1,4] => 1010110 => [1,1,1,1,2,1] => 1023
[6,2,8,5,1,7,3,4] => 1011010 => [1,1,2,1,1,1] => 984
[4,2,1,8,6,7,3,5] => 1101010 => [2,1,1,1,1,1] => 969
[1,3,2,8,6,7,4,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,3,8,6,7,1,4,5] => 0010100 => [2,1,1,1,2] => 603
[8,1,3,2,6,7,4,5] => 1010010 => [1,1,1,2,1,1] => 1006
[2,3,8,7,1,6,5,4] => 0011011 => [2,2,1,2] => 357
[4,2,8,7,6,1,5,3] => 1011101 => [1,1,3,1,1] => 439
[5,2,8,7,6,4,1,3] => 1011110 => [1,1,4,1] => 148
[7,2,1,8,6,5,4,3] => 1101111 => [2,1,4] => 85
[7,3,6,1,8,5,4,2] => 1010111 => [1,1,1,1,3] => 450
[6,3,7,8,5,4,2,1] => 1001111 => [1,2,4] => 85
[5,3,7,8,6,4,1,2] => 1001110 => [1,2,3,1] => 262
[4,3,1,7,8,6,5,2] => 1100111 => [2,2,3] => 153
[3,4,7,8,6,1,5,2] => 0001101 => [3,2,1,1] => 256
[8,1,5,7,6,2,4,3] => 1001101 => [1,2,2,1,1] => 594
[3,5,7,6,8,1,4,2] => 0010101 => [2,1,1,1,1,1] => 969
[4,5,7,6,8,3,1,2] => 0010110 => [2,1,1,2,1] => 603
[5,4,1,7,6,8,3,2] => 1101011 => [2,1,1,1,2] => 603
[6,4,7,5,8,3,2,1] => 1010111 => [1,1,1,1,3] => 450
[7,4,6,5,1,8,3,2] => 1011011 => [1,1,2,1,2] => 611
[7,5,6,4,3,1,8,2] => 1011101 => [1,1,3,1,1] => 439
[6,5,1,7,4,3,8,2] => 1101101 => [2,1,2,1,1] => 594
[4,6,7,5,3,8,1,2] => 0011010 => [2,2,1,1,1] => 582
[3,6,7,5,1,4,8,2] => 0011001 => [2,2,2,1] => 357
[8,1,6,7,5,4,2,3] => 1001110 => [1,2,3,1] => 262
[8,1,7,6,5,4,3,2] => 1011111 => [1,1,5] => 37
[2,7,6,1,5,4,3,8] => 0110110 => [1,2,1,2,1] => 603
[3,7,6,5,1,4,2,8] => 0111010 => [1,3,1,1,1] => 427
[4,7,6,5,3,1,2,8] => 0111100 => [1,4,2] => 85
[8,6,4,3,1,5,7,2] => 1111001 => [4,2,1] => 85
[8,6,4,1,5,2,7,3] => 1110101 => [3,1,1,1,1] => 427
[8,6,5,1,3,2,7,4] => 1110101 => [3,1,1,1,1] => 427
[8,6,3,1,7,2,4,5] => 1110100 => [3,1,1,2] => 259
[8,7,3,1,5,2,4,6] => 1110100 => [3,1,1,2] => 259
[5,3,1,7,2,4,6,8] => 1101000 => [2,1,1,3] => 262
[8,7,1,2,4,5,3,6] => 1100010 => [2,3,1,1] => 256
[8,6,1,2,4,7,3,5] => 1100010 => [2,3,1,1] => 256
[8,5,1,2,6,7,3,4] => 1100010 => [2,3,1,1] => 256
[8,5,1,6,4,2,7,3] => 1101101 => [2,1,2,1,1] => 594
[8,5,1,3,6,4,7,2] => 1100101 => [2,2,1,1,1] => 582
[8,6,1,5,3,4,7,2] => 1101001 => [2,1,1,2,1] => 603
[8,6,1,5,2,4,7,3] => 1101001 => [2,1,1,2,1] => 603
[8,6,1,2,5,7,3,4] => 1100010 => [2,3,1,1] => 256
[8,6,1,2,7,4,3,5] => 1100110 => [2,2,2,1] => 357
[8,7,1,2,5,4,3,6] => 1100110 => [2,2,2,1] => 357
[5,1,4,2,3,8,6,7] => 1010010 => [1,1,1,2,1,1] => 1006
[5,1,4,2,7,3,6,8] => 1010100 => [1,1,1,1,1,2] => 1023
[7,1,5,8,2,6,3,4] => 1001010 => [1,2,1,1,1,1] => 969
[5,7,8,1,2,4,6,3] => 0010001 => [2,1,3,1] => 262
[5,7,8,1,3,4,6,2] => 0010001 => [2,1,3,1] => 262
[5,8,1,7,3,4,6,2] => 0101001 => [1,1,1,1,2,1] => 1023
[8,1,5,7,2,4,6,3] => 1001001 => [1,2,1,2,1] => 603
[8,4,1,2,7,6,3,5] => 1100110 => [2,2,2,1] => 357
[1,4,2,3,8,7,5,6] => 0100110 => [1,1,2,2,1] => 611
[1,4,2,7,6,3,5,8] => 0101100 => [1,1,1,2,2] => 622
[6,1,2,8,7,5,3,4] => 1001110 => [1,2,3,1] => 262
[6,1,2,4,8,7,5,3] => 1000111 => [1,3,3] => 110
[3,1,8,4,6,7,5,2] => 1010011 => [1,1,1,2,2] => 622
[3,1,7,6,4,8,5,2] => 1011011 => [1,1,2,1,2] => 611
[7,1,2,4,6,8,5,3] => 1000011 => [1,4,2] => 85
[7,1,2,6,8,5,3,4] => 1000110 => [1,3,2,1] => 259
[6,1,2,7,8,5,3,4] => 1000110 => [1,3,2,1] => 259
[6,1,2,7,4,8,5,3] => 1001011 => [1,2,1,1,2] => 603
[3,1,6,4,7,8,5,2] => 1010011 => [1,1,1,2,2] => 622
[5,7,1,3,8,4,6,2] => 0100101 => [1,1,2,1,1,1] => 984
[5,7,1,8,4,2,6,3] => 0101101 => [1,1,1,2,1,1] => 1006
[7,1,5,3,2,8,6,4] => 1011011 => [1,1,2,1,2] => 611
[7,1,4,5,2,8,6,3] => 1001011 => [1,2,1,1,2] => 603
[4,7,3,1,5,8,6,2] => 0110011 => [1,2,2,2] => 363
[4,8,7,3,1,5,6,2] => 0111001 => [1,3,2,1] => 259
[8,1,7,4,5,2,6,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,1,7,5,3,2,6,4] => 1011101 => [1,1,3,1,1] => 439
[8,3,7,1,2,6,4,5] => 1010010 => [1,1,1,2,1,1] => 1006
[3,1,2,8,4,7,5,6] => 1001010 => [1,2,1,1,1,1] => 969
[3,1,2,8,6,4,5,7] => 1001100 => [1,2,2,2] => 363
[3,1,7,2,6,4,5,8] => 1010100 => [1,1,1,1,1,2] => 1023
[1,4,2,3,8,6,5,7] => 0100110 => [1,1,2,2,1] => 611
[1,4,2,3,8,5,7,6] => 0100101 => [1,1,2,1,1,1] => 984
[5,8,1,7,2,4,6,3] => 0101001 => [1,1,1,1,2,1] => 1023
[5,8,1,3,4,7,6,2] => 0100011 => [1,1,3,2] => 265
[3,1,8,6,4,7,5,2] => 1011011 => [1,1,2,1,2] => 611
[8,1,2,6,7,4,5,3] => 1000101 => [1,3,1,1,1] => 427
[6,1,2,8,7,3,5,4] => 1001101 => [1,2,2,1,1] => 594
[1,2,3,5,8,4,7,6] => 0000101 => [4,1,1,1] => 145
[1,2,3,5,8,6,4,7] => 0000110 => [4,2,1] => 85
[7,1,2,8,3,6,5,4] => 1001011 => [1,2,1,1,2] => 603
[7,1,2,8,6,4,5,3] => 1001101 => [1,2,2,1,1] => 594
[3,1,7,8,4,6,5,2] => 1001011 => [1,2,1,1,2] => 603
[3,1,8,7,6,4,5,2] => 1011101 => [1,1,3,1,1] => 439
[8,1,2,7,4,6,5,3] => 1001011 => [1,2,1,1,2] => 603
[8,1,2,7,3,6,5,4] => 1001011 => [1,2,1,1,2] => 603
[1,2,3,5,8,7,4,6] => 0000110 => [4,2,1] => 85
[1,2,3,6,8,5,4,7] => 0000110 => [4,2,1] => 85
[7,8,5,6,3,1,4,2] => 0101101 => [1,1,1,2,1,1] => 1006
[7,8,5,3,6,1,2,4] => 0110100 => [1,2,1,1,2] => 603
[7,5,6,3,1,4,2,8] => 1011010 => [1,1,2,1,1,1] => 984
[7,5,8,3,1,4,2,6] => 1011010 => [1,1,2,1,1,1] => 984
[7,8,5,3,1,4,2,6] => 0111010 => [1,3,1,1,1] => 427
[7,8,5,3,1,6,2,4] => 0111010 => [1,3,1,1,1] => 427
[7,8,5,3,1,6,4,2] => 0111011 => [1,3,1,2] => 259
[7,8,5,3,6,1,4,2] => 0110101 => [1,2,1,1,1,1] => 969
[7,8,5,3,6,4,1,2] => 0110110 => [1,2,1,2,1] => 603
[7,8,5,3,4,1,6,2] => 0110101 => [1,2,1,1,1,1] => 969
[7,8,5,3,1,4,6,2] => 0111001 => [1,3,2,1] => 259
[7,8,5,3,1,2,6,4] => 0111001 => [1,3,2,1] => 259
[7,5,3,8,1,2,6,4] => 1101001 => [2,1,1,2,1] => 603
[7,5,8,3,4,1,6,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,5,8,3,4,6,1,2] => 1010010 => [1,1,1,2,1,1] => 1006
[7,5,6,3,4,1,8,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,5,6,3,1,4,8,2] => 1011001 => [1,1,2,2,1] => 611
[7,5,6,3,1,2,8,4] => 1011001 => [1,1,2,2,1] => 611
[7,5,3,6,1,2,8,4] => 1101001 => [2,1,1,2,1] => 603
[7,5,3,4,1,2,8,6] => 1101001 => [2,1,1,2,1] => 603
[7,5,3,1,4,2,6,8] => 1110100 => [3,1,1,2] => 259
[7,5,3,1,4,2,8,6] => 1110101 => [3,1,1,1,1] => 427
[7,5,3,1,6,2,8,4] => 1110101 => [3,1,1,1,1] => 427
[7,5,3,1,6,4,8,2] => 1110101 => [3,1,1,1,1] => 427
[7,5,3,6,1,4,8,2] => 1101001 => [2,1,1,2,1] => 603
[7,5,3,6,4,1,8,2] => 1101101 => [2,1,2,1,1] => 594
[7,5,3,6,4,8,1,2] => 1101010 => [2,1,1,1,1,1] => 969
[7,5,3,8,4,6,1,2] => 1101010 => [2,1,1,1,1,1] => 969
[7,5,3,8,1,4,6,2] => 1101001 => [2,1,1,2,1] => 603
[7,5,3,1,8,4,6,2] => 1110101 => [3,1,1,1,1] => 427
[7,5,3,1,8,2,6,4] => 1110101 => [3,1,1,1,1] => 427
[7,5,3,1,8,2,4,6] => 1110100 => [3,1,1,2] => 259
[7,5,3,1,6,2,4,8] => 1110100 => [3,1,1,2] => 259
[7,5,3,1,6,4,2,8] => 1110110 => [3,1,2,1] => 259
[7,5,3,1,8,4,2,6] => 1110110 => [3,1,2,1] => 259
[7,5,3,1,8,6,2,4] => 1110110 => [3,1,2,1] => 259
[7,5,3,8,1,6,4,2] => 1101011 => [2,1,1,1,2] => 603
[7,5,3,8,6,1,4,2] => 1101101 => [2,1,2,1,1] => 594
[7,5,3,8,6,4,1,2] => 1101110 => [2,1,3,1] => 262
[7,5,8,3,6,4,1,2] => 1010110 => [1,1,1,1,2,1] => 1023
[7,5,8,3,6,1,4,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,5,8,3,1,6,4,2] => 1011011 => [1,1,2,1,2] => 611
[7,5,8,3,1,6,2,4] => 1011010 => [1,1,2,1,1,1] => 984
[7,5,3,6,1,4,2,8] => 1101010 => [2,1,1,1,1,1] => 969
[7,5,3,6,4,1,2,8] => 1101100 => [2,1,2,2] => 363
[7,5,3,8,4,1,2,6] => 1101100 => [2,1,2,2] => 363
[7,5,8,6,3,1,2,4] => 1011100 => [1,1,3,2] => 265
[7,5,8,6,3,1,4,2] => 1011101 => [1,1,3,1,1] => 439
[7,5,8,6,3,4,1,2] => 1011010 => [1,1,2,1,1,1] => 984
[7,5,6,8,3,1,4,2] => 1001101 => [1,2,2,1,1] => 594
[7,5,6,3,8,1,2,4] => 1010100 => [1,1,1,1,1,2] => 1023
[7,5,3,4,1,6,2,8] => 1101010 => [2,1,1,1,1,1] => 969
[7,5,3,4,1,8,2,6] => 1101010 => [2,1,1,1,1,1] => 969
[7,5,6,3,1,8,2,4] => 1011010 => [1,1,2,1,1,1] => 984
[7,5,6,3,1,8,4,2] => 1011011 => [1,1,2,1,2] => 611
[7,5,6,3,8,1,4,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,5,6,3,8,4,1,2] => 1010110 => [1,1,1,1,2,1] => 1023
[7,5,3,6,8,4,1,2] => 1100110 => [2,2,2,1] => 357
[7,5,3,6,8,1,4,2] => 1100101 => [2,2,1,1,1] => 582
[7,5,3,6,1,8,4,2] => 1101011 => [2,1,1,1,2] => 603
[7,5,3,1,6,8,4,2] => 1110011 => [3,2,2] => 153
[7,5,3,1,6,8,2,4] => 1110010 => [3,2,1,1] => 256
[7,5,3,1,4,8,2,6] => 1110010 => [3,2,1,1] => 256
[7,5,3,1,4,6,2,8] => 1110010 => [3,2,1,1] => 256
[7,5,3,1,2,6,4,8] => 1110010 => [3,2,1,1] => 256
[7,5,3,1,2,8,4,6] => 1110010 => [3,2,1,1] => 256
[7,5,3,1,2,8,6,4] => 1110011 => [3,2,2] => 153
[7,5,3,1,4,8,6,2] => 1110011 => [3,2,2] => 153
[7,5,3,4,1,8,6,2] => 1101011 => [2,1,1,1,2] => 603
[7,5,3,4,8,1,6,2] => 1100101 => [2,2,1,1,1] => 582
[7,5,3,4,8,6,1,2] => 1100110 => [2,2,2,1] => 357
[7,5,3,4,6,1,8,2] => 1100101 => [2,2,1,1,1] => 582
[7,5,3,4,1,6,8,2] => 1101001 => [2,1,1,2,1] => 603
[7,5,3,1,4,6,8,2] => 1110001 => [3,3,1] => 110
[7,5,3,1,2,6,8,4] => 1110001 => [3,3,1] => 110
[7,5,3,1,2,4,8,6] => 1110001 => [3,3,1] => 110
[3,6,2,5,4,1,8,7] => 0101101 => [1,1,1,2,1,1] => 1006
[3,5,2,8,4,7,6,1] => 0101011 => [1,1,1,1,1,2] => 1023
[5,4,7,3,2,8,6,1] => 1011011 => [1,1,2,1,2] => 611
[5,4,8,3,2,7,6,1] => 1011011 => [1,1,2,1,2] => 611
[6,4,5,3,2,1,8,7] => 1011101 => [1,1,3,1,1] => 439
[5,3,2,6,4,1,8,7] => 1101101 => [2,1,2,1,1] => 594
[4,5,8,3,2,7,6,1] => 0011011 => [2,2,1,2] => 357
[4,7,6,3,8,5,2,1] => 0110111 => [1,2,1,3] => 262
[4,8,6,3,7,5,2,1] => 0110111 => [1,2,1,3] => 262
[4,8,5,3,2,7,6,1] => 0111011 => [1,3,1,2] => 259
[5,8,4,3,2,7,6,1] => 0111011 => [1,3,1,2] => 259
[5,3,2,8,4,7,6,1] => 1101011 => [2,1,1,1,2] => 603
[2,1,5,8,4,7,6,3] => 1001011 => [1,2,1,1,2] => 603
[5,3,2,7,4,8,6,1] => 1101011 => [2,1,1,1,2] => 603
[5,7,4,3,2,8,6,1] => 0111011 => [1,3,1,2] => 259
[4,7,5,3,2,8,6,1] => 0111011 => [1,3,1,2] => 259
[4,7,8,3,6,5,2,1] => 0010111 => [2,1,1,3] => 262
[4,6,8,3,7,5,2,1] => 0010111 => [2,1,1,3] => 262
[7,6,4,3,8,5,2,1] => 1110111 => [3,1,3] => 110
[7,3,2,6,8,5,4,1] => 1100111 => [2,2,3] => 153
[2,1,8,6,7,5,4,3] => 1010111 => [1,1,1,1,3] => 450
[8,3,2,6,7,5,4,1] => 1100111 => [2,2,3] => 153
[8,6,4,3,7,5,2,1] => 1110111 => [3,1,3] => 110
[8,5,7,6,4,3,2,1] => 1011111 => [1,1,5] => 37
[8,4,5,3,2,7,6,1] => 1011011 => [1,1,2,1,2] => 611
[8,4,7,3,6,5,2,1] => 1010111 => [1,1,1,1,3] => 450
[8,4,6,3,7,5,2,1] => 1010111 => [1,1,1,1,3] => 450
[7,4,6,3,8,5,2,1] => 1010111 => [1,1,1,1,3] => 450
[3,7,2,6,8,5,4,1] => 0100111 => [1,1,2,3] => 265
[3,8,2,6,7,5,4,1] => 0100111 => [1,1,2,3] => 265
[3,8,2,5,4,7,6,1] => 0101011 => [1,1,1,1,1,2] => 1023
[3,7,2,8,6,5,4,1] => 0101111 => [1,1,1,4] => 148
[3,6,2,8,7,5,4,1] => 0101111 => [1,1,1,4] => 148
[6,4,7,3,8,5,2,1] => 1010111 => [1,1,1,1,3] => 450
[6,4,8,3,7,5,2,1] => 1010111 => [1,1,1,1,3] => 450
[7,4,8,3,6,5,2,1] => 1010111 => [1,1,1,1,3] => 450
[7,4,5,3,2,8,6,1] => 1011011 => [1,1,2,1,2] => 611
[7,5,4,3,2,8,6,1] => 1111011 => [4,1,2] => 85
[7,3,2,5,4,8,6,1] => 1101011 => [2,1,1,1,2] => 603
[2,1,7,5,4,8,6,3] => 1011011 => [1,1,2,1,2] => 611
[7,3,2,8,6,5,4,1] => 1101111 => [2,1,4] => 85
[7,8,4,3,6,5,2,1] => 0110111 => [1,2,1,3] => 262
[6,8,5,7,4,3,2,1] => 0101111 => [1,1,1,4] => 148
[6,8,4,3,7,5,2,1] => 0110111 => [1,2,1,3] => 262
[6,3,2,8,7,5,4,1] => 1101111 => [2,1,4] => 85
[6,3,2,7,8,5,4,1] => 1100111 => [2,2,3] => 153
[6,7,4,3,8,5,2,1] => 0110111 => [1,2,1,3] => 262
[2,3,1,4,5,6,7,8,9] => 01000000 => [1,1,6] => 50
[2,3,4,1,5,6,7,8,9] => 00100000 => [2,1,5] => 138
[2,3,4,5,1,6,7,8,9] => 00010000 => [3,1,4] => 220
[2,3,4,5,6,1,7,8,9] => 00001000 => [4,1,3] => 220
[2,4,3,1,5,6,7,8,9] => 01100000 => [1,2,5] => 138
[2,3,5,4,1,6,7,8,9] => 00110000 => [2,2,4] => 306
[2,3,4,6,5,1,7,8,9] => 00011000 => [3,2,3] => 392
[2,3,4,5,7,6,1,8,9] => 00001100 => [4,2,2] => 306
[2,3,4,5,6,8,7,1,9] => 00000110 => [5,2,1] => 138
[2,3,4,5,6,7,9,8,1] => 00000011 => [6,2] => 28
[4,6,8,3,5,7,1,2] => 0010010 => [2,1,2,1,1] => 594
[6,8,1,2,4,5,7,3] => 0100001 => [1,1,4,1] => 148
[3,5,8,2,4,7,1,6] => 0010010 => [2,1,2,1,1] => 594
[8,3,5,2,4,1,6,7] => 1010100 => [1,1,1,1,1,2] => 1023
[4,2,5,7,3,6,1,8] => 1001010 => [1,2,1,1,1,1] => 969
[4,5,2,8,3,1,6,7] => 0101100 => [1,1,1,2,2] => 622
[4,2,5,8,3,7,1,6] => 1001010 => [1,2,1,1,1,1] => 969
[2,1,6,8,4,7,3,5] => 1001010 => [1,2,1,1,1,1] => 969
[1,2,5,8,3,6,7,4] => 0001001 => [3,1,2,1] => 259
[5,3,6,8,4,7,1,2] => 1001010 => [1,2,1,1,1,1] => 969
[1,6,5,8,2,4,7,3] => 0101001 => [1,1,1,1,2,1] => 1023
[3,1,2,6,8,5,7,4] => 1000101 => [1,3,1,1,1] => 427
[1,4,3,8,2,6,7,5] => 0101001 => [1,1,1,1,2,1] => 1023
[5,4,8,3,2,1,6,7] => 1011100 => [1,1,3,2] => 265
[5,4,3,7,2,6,1,8] => 1101010 => [2,1,1,1,1,1] => 969
[4,3,6,2,7,5,1,8] => 1010110 => [1,1,1,1,2,1] => 1023
[4,6,3,2,1,8,5,7] => 0111010 => [1,3,1,1,1] => 427
[4,1,7,3,2,5,8,6] => 1011001 => [1,1,2,2,1] => 611
[4,3,1,7,8,2,6,5] => 1100101 => [2,2,1,1,1] => 582
[3,5,1,2,7,8,6,4] => 0100011 => [1,1,3,2] => 265
[7,5,1,4,8,2,6,3] => 1100101 => [2,2,1,1,1] => 582
[5,4,7,3,8,6,1,2] => 1010110 => [1,1,1,1,2,1] => 1023
[5,8,4,7,6,3,1,2] => 0101110 => [1,1,1,3,1] => 450
[5,8,7,1,4,2,6,3] => 0110101 => [1,2,1,1,1,1] => 969
[8,3,5,1,2,7,6,4] => 1010011 => [1,1,1,2,2] => 622
[4,8,3,1,7,2,6,5] => 0110101 => [1,2,1,1,1,1] => 969
[1,8,4,3,5,2,7,6] => 0110101 => [1,2,1,1,1,1] => 969
[4,6,3,1,5,2,8,7] => 0110101 => [1,2,1,1,1,1] => 969
[4,7,3,6,5,2,1,8] => 0101110 => [1,1,1,3,1] => 450
[5,3,7,6,4,2,1,8] => 1011110 => [1,1,4,1] => 148
[1,6,3,4,2,8,7,5] => 0101011 => [1,1,1,1,1,2] => 1023
[1,8,3,6,2,7,5,4] => 0101011 => [1,1,1,1,1,2] => 1023
[1,6,8,7,4,2,5,3] => 0011101 => [2,3,1,1] => 256
[6,4,8,7,5,3,1,2] => 1011110 => [1,1,4,1] => 148
[7,6,4,3,8,5,1,2] => 1110110 => [3,1,2,1] => 259
[1,7,6,2,8,4,5,3] => 0110101 => [1,2,1,1,1,1] => 969
[7,1,3,2,6,8,5,4] => 1010011 => [1,1,1,2,2] => 622
[1,5,3,2,7,4,8,6] => 0110101 => [1,2,1,1,1,1] => 969
[6,3,2,1,8,5,4,7] => 1110110 => [3,1,2,1] => 259
[6,5,3,2,7,4,1,8] => 1110110 => [3,1,2,1] => 259
[5,2,6,3,7,4,1,8] => 1010110 => [1,1,1,1,2,1] => 1023
[2,8,5,3,1,6,4,7] => 0111010 => [1,3,1,1,1] => 427
[2,1,7,3,8,5,4,6] => 1010110 => [1,1,1,1,2,1] => 1023
[1,6,2,3,7,8,5,4] => 0100011 => [1,1,3,2] => 265
[1,6,7,2,8,4,5,3] => 0010101 => [2,1,1,1,1,1] => 969
[5,7,1,8,2,4,6,3] => 0101001 => [1,1,1,1,2,1] => 1023
[5,1,2,7,8,3,6,4] => 1000101 => [1,3,1,1,1] => 427
[2,4,1,7,8,6,3,5] => 0100110 => [1,1,2,2,1] => 611
[4,2,1,7,3,8,5,6] => 1101010 => [2,1,1,1,1,1] => 969
[6,2,8,4,3,1,5,7] => 1011100 => [1,1,3,2] => 265
[7,3,2,1,8,4,5,6] => 1110100 => [3,1,1,2] => 259
[7,8,3,2,5,6,1,4] => 0110010 => [1,2,2,1,1] => 594
[7,1,8,2,4,5,6,3] => 1010001 => [1,1,1,3,1] => 450
[8,7,6,1,2,4,5,3] => 1110001 => [3,3,1] => 110
[8,3,7,6,2,1,4,5] => 1011100 => [1,1,3,2] => 265
[3,2,8,7,5,1,4,6] => 1011100 => [1,1,3,2] => 265
[8,3,6,5,2,1,4,7] => 1011100 => [1,1,3,2] => 265
[7,6,3,5,2,4,1,8] => 1101010 => [2,1,1,1,1,1] => 969
[7,4,6,2,5,3,1,8] => 1010110 => [1,1,1,1,2,1] => 1023
[8,2,4,1,6,5,3,7] => 1010110 => [1,1,1,1,2,1] => 1023
[4,2,8,1,7,5,3,6] => 1010110 => [1,1,1,1,2,1] => 1023
[8,2,4,1,7,6,3,5] => 1010110 => [1,1,1,1,2,1] => 1023
[8,7,1,5,6,2,4,3] => 1100101 => [2,2,1,1,1] => 582
[8,5,7,3,6,4,1,2] => 1010110 => [1,1,1,1,2,1] => 1023
[6,8,3,7,5,4,1,2] => 0101110 => [1,1,1,3,1] => 450
[8,1,6,7,5,2,4,3] => 1001101 => [1,2,2,1,1] => 594
[8,1,2,6,4,3,7,5] => 1001101 => [1,2,2,1,1] => 594
[2,8,1,7,5,4,3,6] => 0101110 => [1,1,1,3,1] => 450
[2,5,1,8,6,4,3,7] => 0101110 => [1,1,1,3,1] => 450
[5,7,2,6,4,3,1,8] => 0101110 => [1,1,1,3,1] => 450
[6,2,7,5,4,3,1,8] => 1011110 => [1,1,4,1] => 148
[2,1,8,6,5,4,3,7] => 1011110 => [1,1,4,1] => 148
[1,2,7,5,4,3,8,6] => 0011101 => [2,3,1,1] => 256
[1,7,2,4,3,8,6,5] => 0101011 => [1,1,1,1,1,2] => 1023
[1,7,2,8,3,6,5,4] => 0101011 => [1,1,1,1,1,2] => 1023
[1,7,8,6,5,2,4,3] => 0011101 => [2,3,1,1] => 256
[7,3,8,6,5,4,1,2] => 1011110 => [1,1,4,1] => 148
[1,8,7,6,5,2,4,3] => 0111101 => [1,4,1,1] => 145
[8,1,7,3,2,6,5,4] => 1011011 => [1,1,2,1,2] => 611
[5,1,4,3,2,8,7,6] => 1011011 => [1,1,2,1,2] => 611
[8,6,5,3,2,1,7,4] => 1111101 => [5,1,1] => 37
[8,6,3,2,1,7,4,5] => 1111010 => [4,1,1,1] => 145
[8,6,5,4,1,7,2,3] => 1111010 => [4,1,1,1] => 145
[8,6,5,1,7,3,2,4] => 1110110 => [3,1,2,1] => 259
[8,6,1,7,4,3,2,5] => 1101110 => [2,1,3,1] => 262
[4,6,3,2,7,5,1,8] => 0110110 => [1,2,1,2,1] => 603
[1,4,3,7,2,5,8,6] => 0101001 => [1,1,1,1,2,1] => 1023
[7,4,8,3,1,6,2,5] => 1011010 => [1,1,2,1,1,1] => 984
[7,1,5,8,3,2,6,4] => 1001101 => [1,2,2,1,1] => 594
[5,7,4,1,8,2,6,3] => 0110101 => [1,2,1,1,1,1] => 969
[5,7,4,3,1,8,6,2] => 0111011 => [1,3,1,2] => 259
[1,8,7,2,5,4,6,3] => 0110101 => [1,2,1,1,1,1] => 969
[1,8,5,3,7,2,6,4] => 0110101 => [1,2,1,1,1,1] => 969
[4,3,1,8,7,5,2,6] => 1101110 => [2,1,3,1] => 262
[1,4,8,6,3,5,2,7] => 0011010 => [2,2,1,1,1] => 582
[7,4,6,3,5,2,1,8] => 1010110 => [1,1,1,1,2,1] => 1023
[1,3,5,6,8,4,2,7] => 0000110 => [4,2,1] => 85
[3,5,4,8,7,1,2,6] => 0101100 => [1,1,1,2,2] => 622
[3,1,4,6,8,7,2,5] => 1000110 => [1,3,2,1] => 259
[1,6,3,8,7,2,5,4] => 0101101 => [1,1,1,2,1,1] => 1006
[1,6,2,4,8,7,5,3] => 0100111 => [1,1,2,3] => 265
[8,4,1,6,7,5,3,2] => 1100111 => [2,2,3] => 153
[7,1,6,4,8,5,2,3] => 1010110 => [1,1,1,1,2,1] => 1023
[7,3,6,8,5,1,2,4] => 1001100 => [1,2,2,2] => 363
[1,3,7,2,6,8,4,5] => 0010010 => [2,1,2,1,1] => 594
[3,6,5,2,8,1,4,7] => 0110100 => [1,2,1,1,2] => 603
[3,6,5,7,2,4,1,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,2,6,3,8,1,5,7] => 1010100 => [1,1,1,1,1,2] => 1023
[4,2,6,7,3,5,1,8] => 1001010 => [1,2,1,1,1,1] => 969
[3,6,2,4,7,5,1,8] => 0100110 => [1,1,2,2,1] => 611
[3,6,2,4,1,8,5,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[7,3,8,2,1,6,4,5] => 1011010 => [1,1,2,1,1,1] => 984
[7,3,5,2,1,8,6,4] => 1011011 => [1,1,2,1,2] => 611
[8,7,6,4,3,1,5,2] => 1111101 => [5,1,1] => 37
[8,7,6,4,1,5,2,3] => 1111010 => [4,1,1,1] => 145
[3,8,7,2,1,4,6,5] => 0111001 => [1,3,2,1] => 259
[3,8,2,7,1,5,4,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,6,8,2,1,5,4,7] => 0011010 => [2,2,1,1,1] => 582
[2,4,8,1,6,5,3,7] => 0010110 => [2,1,1,2,1] => 603
[4,2,8,1,5,7,3,6] => 1010010 => [1,1,1,2,1,1] => 1006
[8,5,7,6,1,4,2,3] => 1011010 => [1,1,2,1,1,1] => 984
[8,6,1,7,3,5,4,2] => 1101011 => [2,1,1,1,2] => 603
[8,6,1,7,5,4,2,3] => 1101110 => [2,1,3,1] => 262
[1,6,2,8,7,3,5,4] => 0101101 => [1,1,1,2,1,1] => 1006
[1,8,2,4,6,7,3,5] => 0100010 => [1,1,3,1,1] => 439
[2,8,5,4,7,1,3,6] => 0110100 => [1,2,1,1,2] => 603
[2,1,5,8,6,4,3,7] => 1001110 => [1,2,3,1] => 262
[7,2,5,6,4,3,1,8] => 1001110 => [1,2,3,1] => 262
[1,2,5,7,8,4,3,6] => 0000110 => [4,2,1] => 85
[1,2,7,4,8,6,3,5] => 0010110 => [2,1,1,2,1] => 603
[1,2,7,8,3,6,5,4] => 0001011 => [3,1,1,2] => 259
[7,1,8,6,3,5,4,2] => 1011011 => [1,1,2,1,2] => 611
[1,8,7,6,3,5,2,4] => 0111010 => [1,3,1,1,1] => 427
[1,8,7,4,6,3,2,5] => 0110110 => [1,2,1,2,1] => 603
[7,1,5,8,3,4,6,2] => 1001001 => [1,2,1,2,1] => 603
[7,1,6,4,2,3,5,8] => 1011000 => [1,1,2,3] => 265
[8,6,2,4,7,3,5,1] => 1100101 => [2,2,1,1,1] => 582
[8,6,2,4,5,7,3,1] => 1100011 => [2,3,2] => 153
[2,7,1,4,5,8,3,6] => 0100010 => [1,1,3,1,1] => 439
[7,1,6,4,5,2,3,8] => 1010100 => [1,1,1,1,1,2] => 1023
[7,1,4,5,6,8,2,3] => 1000010 => [1,4,1,1] => 145
[7,1,4,6,5,8,3,2] => 1001011 => [1,2,1,1,2] => 603
[7,1,2,3,8,5,4,6] => 1000110 => [1,3,2,1] => 259
[7,1,5,4,3,8,2,6] => 1011010 => [1,1,2,1,1,1] => 984
[7,1,3,4,2,6,8,5] => 1001001 => [1,2,1,2,1] => 603
[7,1,5,4,6,2,8,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,1,5,6,4,3,8,2] => 1001101 => [1,2,2,1,1] => 594
[7,1,6,5,4,3,2,8] => 1011110 => [1,1,4,1] => 148
[8,6,2,5,4,3,7,1] => 1101101 => [2,1,2,1,1] => 594
[2,5,1,7,4,3,6,8] => 0101100 => [1,1,1,2,2] => 622
[2,5,1,4,7,8,6,3] => 0100011 => [1,1,3,2] => 265
[3,5,1,4,8,6,2,7] => 0100110 => [1,1,2,2,1] => 611
[3,6,2,4,7,8,1,5] => 0100010 => [1,1,3,1,1] => 439
[5,6,2,4,8,7,1,3] => 0100110 => [1,1,2,2,1] => 611
[6,3,8,2,4,7,1,5] => 1010010 => [1,1,1,2,1,1] => 1006
[6,5,8,7,2,3,1,4] => 1011010 => [1,1,2,1,1,1] => 984
[6,5,7,8,2,4,1,3] => 1001010 => [1,2,1,1,1,1] => 969
[6,3,4,2,8,5,1,7] => 1010110 => [1,1,1,1,2,1] => 1023
[3,4,7,2,5,8,1,6] => 0010010 => [2,1,2,1,1] => 594
[4,6,8,1,3,5,2,7] => 0010010 => [2,1,2,1,1] => 594
[4,3,8,1,2,7,5,6] => 1010010 => [1,1,1,2,1,1] => 1006
[3,6,4,1,7,2,5,8] => 0110100 => [1,2,1,1,2] => 603
[2,8,3,1,5,6,4,7] => 0110010 => [1,2,2,1,1] => 594
[3,8,7,1,5,4,2,6] => 0110110 => [1,2,1,2,1] => 603
[4,3,1,7,6,8,2,5] => 1101010 => [2,1,1,1,1,1] => 969
[3,4,1,7,5,6,8,2] => 0101001 => [1,1,1,1,2,1] => 1023
[3,4,1,5,7,6,2,8] => 0100110 => [1,1,2,2,1] => 611
[3,7,4,1,6,2,8,5] => 0110101 => [1,2,1,1,1,1] => 969
[8,4,7,2,5,3,6,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,7,8,1,2,3,6,5] => 0010001 => [2,1,3,1] => 262
[2,8,6,1,5,3,7,4] => 0110101 => [1,2,1,1,1,1] => 969
[7,6,5,1,3,8,2,4] => 1110010 => [3,2,1,1] => 256
[7,6,5,1,3,4,8,2] => 1110001 => [3,3,1] => 110
[7,2,6,4,1,3,8,5] => 1011001 => [1,1,2,2,1] => 611
[6,7,5,2,1,3,8,4] => 0111001 => [1,3,2,1] => 259
[8,4,5,3,7,2,6,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,7,5,2,8,1,6,3] => 0110101 => [1,2,1,1,1,1] => 969
[2,6,4,3,1,5,7,8] => 0111000 => [1,3,3] => 110
[7,3,8,4,1,5,2,6] => 1011010 => [1,1,2,1,1,1] => 984
[7,2,3,4,1,6,5,8] => 1001010 => [1,2,1,1,1,1] => 969
[4,2,8,3,6,1,5,7] => 1010100 => [1,1,1,1,1,2] => 1023
[6,8,5,7,2,1,3,4] => 0101100 => [1,1,1,2,2] => 622
[4,8,5,2,7,1,3,6] => 0110100 => [1,2,1,1,2] => 603
[6,3,5,2,1,7,4,8] => 1011010 => [1,1,2,1,1,1] => 984
[6,8,5,3,1,4,2,7] => 0111010 => [1,3,1,1,1] => 427
[3,6,5,4,2,8,1,7] => 0111010 => [1,3,1,1,1] => 427
[1,6,4,7,2,5,3,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,6,4,8,2,5,3,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,6,5,8,2,4,3,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,6,8,2,4,3,7,5] => 0010101 => [2,1,1,1,1,1] => 969
[1,6,2,4,3,7,8,5] => 0101001 => [1,1,1,1,2,1] => 1023
[1,5,6,2,4,7,3,8] => 0010010 => [2,1,2,1,1] => 594
[1,5,6,2,4,7,8,3] => 0010001 => [2,1,3,1] => 262
[1,5,8,2,4,7,3,6] => 0010010 => [2,1,2,1,1] => 594
[1,5,7,2,4,8,3,6] => 0010010 => [2,1,2,1,1] => 594
[1,6,5,7,2,4,3,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,6,7,2,4,3,8,5] => 0010101 => [2,1,1,1,1,1] => 969
[1,5,6,7,2,4,8,3] => 0001001 => [3,1,2,1] => 259
[1,5,8,2,4,6,7,3] => 0010001 => [2,1,3,1] => 262
[1,5,7,2,4,6,8,3] => 0010001 => [2,1,3,1] => 262
[1,5,7,8,3,2,4,6] => 0001100 => [3,2,2] => 153
[1,5,8,3,2,4,6,7] => 0011000 => [2,2,3] => 153
[1,5,6,2,4,8,3,7] => 0010010 => [2,1,2,1,1] => 594
[1,7,6,2,8,3,4,5] => 0110100 => [1,2,1,1,2] => 603
[1,7,3,4,2,8,6,5] => 0101011 => [1,1,1,1,1,2] => 1023
[1,6,2,4,3,8,7,5] => 0101011 => [1,1,1,1,1,2] => 1023
[1,5,6,2,4,8,7,3] => 0010011 => [2,1,2,2] => 363
[1,5,8,7,3,2,4,6] => 0011100 => [2,3,2] => 153
[1,4,2,3,5,8,7,6] => 0100011 => [1,1,3,2] => 265
[1,5,2,3,4,8,7,6] => 0100011 => [1,1,3,2] => 265
[1,6,5,2,3,8,7,4] => 0110011 => [1,2,2,2] => 363
[1,7,4,2,8,6,5,3] => 0110111 => [1,2,1,3] => 262
[1,7,6,5,2,8,4,3] => 0111011 => [1,3,1,2] => 259
[1,6,7,5,2,3,8,4] => 0011001 => [2,2,2,1] => 357
[1,7,5,2,8,4,3,6] => 0110110 => [1,2,1,2,1] => 603
[1,7,5,6,2,8,3,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,5,7,6,2,4,8,3] => 0011001 => [2,2,2,1] => 357
[1,5,8,3,2,4,7,6] => 0011001 => [2,2,2,1] => 357
[1,6,5,2,3,7,4,8] => 0110010 => [1,2,2,1,1] => 594
[1,6,5,2,3,7,8,4] => 0110001 => [1,2,3,1] => 262
[1,6,8,4,2,3,7,5] => 0011001 => [2,2,2,1] => 357
[1,7,4,6,2,8,3,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,7,3,5,2,8,4,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,6,8,5,2,3,7,4] => 0011001 => [2,2,2,1] => 357
[1,6,4,2,3,7,8,5] => 0110001 => [1,2,3,1] => 262
[1,6,4,2,3,7,5,8] => 0110010 => [1,2,2,1,1] => 594
[1,5,8,6,2,4,7,3] => 0011001 => [2,2,2,1] => 357
[1,5,7,3,2,4,8,6] => 0011001 => [2,2,2,1] => 357
[1,7,3,4,2,8,5,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,7,4,2,8,5,3,6] => 0110110 => [1,2,1,2,1] => 603
[1,6,7,4,2,3,8,5] => 0011001 => [2,2,2,1] => 357
[1,6,4,2,3,8,5,7] => 0110010 => [1,2,2,1,1] => 594
[1,7,6,4,2,8,5,3] => 0111011 => [1,3,1,2] => 259
[1,7,5,2,8,6,4,3] => 0110111 => [1,2,1,3] => 262
[1,6,4,2,3,8,7,5] => 0110011 => [1,2,2,2] => 363
[7,3,5,6,1,4,8,2] => 1001001 => [1,2,1,2,1] => 603
[3,7,5,6,1,4,8,2] => 0101001 => [1,1,1,1,2,1] => 1023
[8,2,4,1,6,7,5,3] => 1010011 => [1,1,1,2,2] => 622
[8,6,1,4,2,7,5,3] => 1101011 => [2,1,1,1,2] => 603
[3,6,1,4,2,8,5,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,6,7,4,3,5,8,2] => 0011001 => [2,2,2,1] => 357
[6,7,1,4,3,5,8,2] => 0101001 => [1,1,1,1,2,1] => 1023
[7,6,1,4,3,5,8,2] => 1101001 => [2,1,1,2,1] => 603
[3,5,4,1,6,7,8,2] => 0110001 => [1,2,3,1] => 262
[4,7,1,6,3,5,8,2] => 0101001 => [1,1,1,1,2,1] => 1023
[3,1,4,7,6,5,8,2] => 1001101 => [1,2,2,1,1] => 594
[6,1,7,4,3,5,8,2] => 1011001 => [1,1,2,2,1] => 611
[7,1,6,4,3,5,8,2] => 1011001 => [1,1,2,2,1] => 611
[1,7,6,4,3,5,8,2] => 0111001 => [1,3,2,1] => 259
[8,1,6,4,2,7,5,3] => 1011011 => [1,1,2,1,2] => 611
[8,4,1,3,7,2,5,6] => 1100100 => [2,2,1,2] => 357
[4,7,1,3,8,2,5,6] => 0100100 => [1,1,2,1,2] => 611
[7,4,1,3,8,2,5,6] => 1100100 => [2,2,1,2] => 357
[1,3,6,4,2,8,5,7] => 0011010 => [2,2,1,1,1] => 582
[4,7,3,1,2,8,5,6] => 0110010 => [1,2,2,1,1] => 594
[4,7,8,1,2,6,5,3] => 0010011 => [2,1,2,2] => 363
[6,8,1,4,2,7,5,3] => 0101011 => [1,1,1,1,1,2] => 1023
[1,8,6,4,2,7,5,3] => 0111011 => [1,3,1,2] => 259
[4,8,1,3,7,2,5,6] => 0100100 => [1,1,2,1,2] => 611
[8,7,1,3,6,2,5,4] => 1100101 => [2,2,1,1,1] => 582
[6,8,5,7,3,2,1,4] => 0101110 => [1,1,1,3,1] => 450
[1,8,4,3,7,2,5,6] => 0110100 => [1,2,1,1,2] => 603
[2,8,3,4,7,6,1,5] => 0100110 => [1,1,2,2,1] => 611
[3,7,8,4,6,2,1,5] => 0010110 => [2,1,1,2,1] => 603
[3,7,4,6,8,2,1,5] => 0100110 => [1,1,2,2,1] => 611
[2,4,3,7,8,6,1,5] => 0100110 => [1,1,2,2,1] => 611
[1,4,7,3,8,2,5,6] => 0010100 => [2,1,1,1,2] => 603
[5,7,6,8,3,2,1,4] => 0101110 => [1,1,1,3,1] => 450
[2,5,3,4,8,6,1,7] => 0100110 => [1,1,2,2,1] => 611
[3,7,5,4,8,2,1,6] => 0110110 => [1,2,1,2,1] => 603
[7,1,3,4,2,8,5,6] => 1001010 => [1,2,1,1,1,1] => 969
[6,1,4,3,8,2,5,7] => 1010100 => [1,1,1,1,1,2] => 1023
[4,1,7,3,8,2,5,6] => 1010100 => [1,1,1,1,1,2] => 1023
[8,1,4,3,7,2,5,6] => 1010100 => [1,1,1,1,1,2] => 1023
[8,2,3,4,7,6,1,5] => 1000110 => [1,3,2,1] => 259
[4,2,3,7,8,6,1,5] => 1000110 => [1,3,2,1] => 259
[5,2,3,4,8,6,1,7] => 1000110 => [1,3,2,1] => 259
[2,7,5,6,3,8,1,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,7,2,6,3,8,1,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,7,2,6,8,4,1,3] => 0100110 => [1,1,2,2,1] => 611
[7,2,5,6,8,4,1,3] => 1000110 => [1,3,2,1] => 259
[4,2,3,8,5,6,1,7] => 1001010 => [1,2,1,1,1,1] => 969
[5,2,3,8,7,6,1,4] => 1001110 => [1,2,3,1] => 262
[8,2,3,7,5,6,1,4] => 1001010 => [1,2,1,1,1,1] => 969
[6,1,8,3,7,2,5,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[1,7,8,4,2,6,5,3] => 0011011 => [2,2,1,2] => 357
[4,7,1,8,2,5,6,3] => 0101001 => [1,1,1,1,2,1] => 1023
[3,7,4,8,5,2,1,6] => 0101110 => [1,1,1,3,1] => 450
[2,4,3,8,5,6,1,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,4,8,3,6,2,5,7] => 0010100 => [2,1,1,1,2] => 603
[7,5,8,6,3,2,1,4] => 1011110 => [1,1,4,1] => 148
[6,5,8,7,3,2,1,4] => 1011110 => [1,1,4,1] => 148
[8,5,7,6,3,2,1,4] => 1011110 => [1,1,4,1] => 148
[2,5,3,8,7,6,1,4] => 0101110 => [1,1,1,3,1] => 450
[3,7,5,8,6,2,1,4] => 0101110 => [1,1,1,3,1] => 450
[3,7,8,6,5,2,1,4] => 0011110 => [2,4,1] => 85
[1,8,7,3,6,2,5,4] => 0110101 => [1,2,1,1,1,1] => 969
[6,8,7,5,3,2,1,4] => 0111110 => [1,5,1] => 37
[5,7,6,8,3,4,1,2] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,7,6,8,4,5,1,2] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,5,4,7,6,8,2,3] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,7,4,6,5,8,2,3] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,7,4,6,5,8,1,2] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,5,4,8,6,7,1,2] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,8,4,6,5,7,1,2] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,6,4,7,5,8,1,2] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,6,2,7,5,8,3,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,6,4,8,5,7,2,3] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,8,4,6,5,7,2,3] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,5,4,8,6,7,2,3] => 0101010 => [1,1,1,1,1,1,1] => 1623
[7,8,1,5,4,6,2,3] => 0101010 => [1,1,1,1,1,1,1] => 1623
[7,8,1,5,2,4,3,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,8,2,6,5,7,3,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,7,2,8,5,6,3,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,7,2,6,5,8,3,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,5,2,7,6,8,3,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,7,6,8,2,5,3,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,7,6,8,4,5,2,3] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,7,6,8,1,4,2,3] => 0101010 => [1,1,1,1,1,1,1] => 1623
[7,8,5,6,1,3,2,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,8,6,7,1,3,2,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,3,2,7,6,8,4,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,7,6,8,2,4,3,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[7,8,1,3,2,6,4,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[7,8,1,6,2,4,3,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,8,6,7,2,4,3,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[7,8,1,4,2,6,3,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[7,8,1,4,2,5,3,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[7,8,2,1,4,3,6,5] => 0110101 => [1,2,1,1,1,1] => 969
[7,8,1,2,4,3,5,6] => 0100100 => [1,1,2,1,2] => 611
[4,3,6,5,8,7,1,2] => 1010110 => [1,1,1,1,2,1] => 1023
[3,4,6,5,7,8,1,2] => 0010010 => [2,1,2,1,1] => 594
[3,4,1,5,6,7,8,9,2] => 01000001 => [1,1,5,1] => 244
[3,4,5,1,6,7,8,9,2] => 00100001 => [2,1,4,1] => 534
[3,4,5,6,1,7,8,9,2] => 00010001 => [3,1,3,1] => 676
[3,4,5,6,7,1,8,9,2] => 00001001 => [4,1,2,1] => 526
[3,4,5,6,7,8,1,9,2] => 00000101 => [5,1,1,1] => 240
[3,1,2,5,6,7,8,9,4] => 10000001 => [1,6,1] => 50
[3,4,1,2,6,7,8,9,5] => 01000001 => [1,1,5,1] => 244
[3,4,5,1,2,7,8,9,6] => 00100001 => [2,1,4,1] => 534
[3,4,5,6,1,2,8,9,7] => 00010001 => [3,1,3,1] => 676
[3,4,5,6,7,1,2,9,8] => 00001001 => [4,1,2,1] => 526
[3,4,5,6,7,8,1,2,9] => 00000100 => [5,1,2] => 138
[1,6,2,3,8,7,4,5] => 0100110 => [1,1,2,2,1] => 611
[1,7,4,3,2,8,6,5] => 0111011 => [1,3,1,2] => 259
[1,4,7,6,2,5,8,3] => 0011001 => [2,2,2,1] => 357
[1,2,6,5,3,7,4,8] => 0011010 => [2,2,1,1,1] => 582
[1,2,6,5,3,7,8,4] => 0011001 => [2,2,2,1] => 357
[1,3,7,5,2,6,8,4] => 0011001 => [2,2,2,1] => 357
[1,3,7,4,2,6,8,5] => 0011001 => [2,2,2,1] => 357
[1,2,6,4,3,7,8,5] => 0011001 => [2,2,2,1] => 357
[1,2,6,4,3,7,5,8] => 0011010 => [2,2,1,1,1] => 582
[1,4,7,3,2,5,8,6] => 0011001 => [2,2,2,1] => 357
[1,4,3,2,5,8,6,7] => 0110010 => [1,2,2,1,1] => 594
[1,5,3,2,4,8,6,7] => 0110010 => [1,2,2,1,1] => 594
[1,7,5,3,2,8,6,4] => 0111011 => [1,3,1,2] => 259
[1,5,3,2,4,8,7,6] => 0110011 => [1,2,2,2] => 363
[7,6,5,4,3,1,8,2] => 1111101 => [5,1,1] => 37
[6,8,5,4,3,2,1,7] => 0111110 => [1,5,1] => 37
[8,7,6,5,4,3,1,9,2] => 11111101 => [6,1,1] => 50
[7,9,6,5,4,3,2,1,8] => 01111110 => [1,6,1] => 50
[1,7,6,5,4,3,9,8,2] => 01111011 => [1,4,1,2] => 526
[7,1,5,4,3,8,6,2] => 1011011 => [1,1,2,1,2] => 611
[3,6,5,4,8,1,7,2] => 0110101 => [1,2,1,1,1,1] => 969
[6,8,1,4,3,2,7,5] => 0101101 => [1,1,1,2,1,1] => 1006
[2,8,5,4,3,7,1,6] => 0111010 => [1,3,1,1,1] => 427
[1,9,6,5,4,3,2,8,7] => 01111101 => [1,5,1,1] => 240
[8,1,6,5,4,3,9,7,2] => 10111011 => [1,1,3,1,2] => 1608
[3,7,6,5,4,9,1,8,2] => 01110101 => [1,3,1,1,1,1] => 2592
[7,6,1,4,3,8,5,2] => 1101011 => [2,1,1,1,2] => 603
[4,6,5,8,3,1,7,2] => 0101101 => [1,1,1,2,1,1] => 1006
[6,8,5,1,3,2,7,4] => 0110101 => [1,2,1,1,1,1] => 969
[1,8,2,4,3,7,6,5] => 0101011 => [1,1,1,1,1,2] => 1023
[7,9,1,5,4,3,2,8,6] => 01011101 => [1,1,1,3,1,1] => 2732
[3,8,5,4,7,2,1,6] => 0110110 => [1,2,1,2,1] => 603
[2,9,6,5,4,3,8,1,7] => 01111010 => [1,4,1,1,1] => 888
[8,7,1,5,4,3,9,6,2] => 11011011 => [2,1,2,1,2] => 2194
[1,3,6,5,4,9,8,7,2] => 00110111 => [2,2,1,3] => 934
[4,7,6,5,9,3,1,8,2] => 01101101 => [1,2,1,2,1,1] => 3652
[7,6,5,1,3,8,4,2] => 1110011 => [3,2,2] => 153
[1,6,3,4,8,7,5,2] => 0100111 => [1,1,2,3] => 265
[1,4,5,8,3,7,6,2] => 0001011 => [3,1,1,2] => 259
[6,8,5,4,1,2,7,3] => 0111001 => [1,3,2,1] => 259
[1,8,5,2,3,7,6,4] => 0110011 => [1,2,2,2] => 363
[7,9,6,1,4,3,2,8,5] => 01101101 => [1,2,1,2,1,1] => 3652
[6,8,2,4,3,7,1,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,8,3,4,7,2,6,5] => 0100101 => [1,1,2,1,1,1] => 984
[1,9,2,5,4,3,8,7,6] => 01011011 => [1,1,1,2,1,2] => 3790
[7,5,8,4,3,2,1,6] => 1011110 => [1,1,4,1] => 148
[4,8,5,7,3,2,1,6] => 0101110 => [1,1,1,3,1] => 450
[3,9,6,5,4,8,2,1,7] => 01110110 => [1,3,1,2,1] => 1576
[5,1,7,6,8,4,3,2] => 1010111 => [1,1,1,1,3] => 450
[6,4,8,5,2,7,1,3] => 1011010 => [1,1,2,1,1,1] => 984
[5,1,8,6,7,4,3,2] => 1010111 => [1,1,1,1,3] => 450
[8,4,7,5,2,6,1,3] => 1011010 => [1,1,2,1,1,1] => 984
[5,4,6,8,2,1,7,3] => 1001101 => [1,2,2,1,1] => 594
[6,4,5,8,1,2,7,3] => 1001001 => [1,2,1,2,1] => 603
[7,4,6,5,2,1,8,3] => 1011101 => [1,1,3,1,1] => 439
[8,4,6,5,2,1,7,3] => 1011101 => [1,1,3,1,1] => 439
[4,8,7,5,6,1,3,2] => 0110101 => [1,2,1,1,1,1] => 969
[2,7,5,1,8,4,3,6] => 0110110 => [1,2,1,2,1] => 603
[5,1,8,7,4,2,3,6] => 1011100 => [1,1,3,2] => 265
[2,8,6,7,4,3,5,1] => 0101101 => [1,1,1,2,1,1] => 1006
[3,6,5,2,4,1,8,7] => 0110101 => [1,2,1,1,1,1] => 969
[5,2,3,6,4,1,8,7] => 1001101 => [1,2,2,1,1] => 594
[6,1,4,5,3,2,8,7] => 1001101 => [1,2,2,1,1] => 594
[3,8,7,1,4,6,5,2] => 0110011 => [1,2,2,2] => 363
[5,7,1,2,4,3,8,6] => 0100101 => [1,1,2,1,1,1] => 984
[4,3,7,6,8,2,5,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,3,6,8,1,7,2,4] => 1001010 => [1,2,1,1,1,1] => 969
[3,2,6,8,5,7,1,4] => 1001010 => [1,2,1,1,1,1] => 969
[6,3,7,2,4,8,5,1] => 1010011 => [1,1,1,2,2] => 622
[7,4,8,6,5,2,1,3] => 1011110 => [1,1,4,1] => 148
[7,1,8,2,5,4,3,6] => 1010110 => [1,1,1,1,2,1] => 1023
[2,5,3,7,4,1,8,6] => 0101101 => [1,1,1,2,1,1] => 1006
[3,6,4,7,5,1,8,2] => 0101101 => [1,1,1,2,1,1] => 1006
[8,4,7,6,2,3,1,5] => 1011010 => [1,1,2,1,1,1] => 984
[8,4,7,1,2,5,6,3] => 1010001 => [1,1,1,3,1] => 450
[4,2,8,7,3,5,6,1] => 1011001 => [1,1,2,2,1] => 611
[8,1,7,4,2,5,6,3] => 1011001 => [1,1,2,2,1] => 611
[7,4,3,8,2,5,6,1] => 1101001 => [2,1,1,2,1] => 603
[6,4,1,5,8,2,7,3] => 1100101 => [2,2,1,1,1] => 582
[2,5,8,7,3,6,1,4] => 0011010 => [2,2,1,1,1] => 582
[2,1,5,8,7,4,6,3] => 1001101 => [1,2,2,1,1] => 594
[8,3,5,6,7,4,1,2] => 1000110 => [1,3,2,1] => 259
[7,4,3,2,8,5,6,1] => 1110101 => [3,1,1,1,1] => 427
[4,2,7,1,8,5,6,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,1,7,2,8,5,6,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[2,4,8,7,3,5,6,1] => 0011001 => [2,2,2,1] => 357
[4,7,8,3,1,5,6,2] => 0011001 => [2,2,2,1] => 357
[3,4,7,2,8,5,6,1] => 0010101 => [2,1,1,1,1,1] => 969
[3,7,1,4,8,5,6,2] => 0100101 => [1,1,2,1,1,1] => 984
[7,2,3,4,8,5,6,1] => 1000101 => [1,3,1,1,1] => 427
[6,1,8,5,2,7,4,3] => 1011011 => [1,1,2,1,2] => 611
[2,1,7,4,5,8,6,3] => 1010011 => [1,1,1,2,2] => 622
[2,1,8,3,6,7,5,4] => 1010011 => [1,1,1,2,2] => 622
[8,2,1,6,4,7,5,3] => 1101011 => [2,1,1,1,2] => 603
[7,8,2,6,4,1,5,3] => 0101101 => [1,1,1,2,1,1] => 1006
[2,6,3,5,8,7,1,4] => 0100110 => [1,1,2,2,1] => 611
[7,6,2,1,5,8,4,3] => 1110011 => [3,2,2] => 153
[4,5,2,7,6,1,8,3] => 0101101 => [1,1,1,2,1,1] => 1006
[5,1,6,8,4,7,2,3] => 1001010 => [1,2,1,1,1,1] => 969
[3,6,8,7,5,2,1,4] => 0011110 => [2,4,1] => 85
[7,4,8,6,5,2,3,1] => 1011101 => [1,1,3,1,1] => 439
[8,1,6,4,7,3,2,5] => 1010110 => [1,1,1,1,2,1] => 1023
[7,6,4,1,2,3,8,5] => 1110001 => [3,3,1] => 110
[2,6,4,8,5,3,7,1] => 0101101 => [1,1,1,2,1,1] => 1006
[7,3,5,8,4,2,1,6] => 1001110 => [1,2,3,1] => 262
[3,2,5,8,4,1,7,6] => 1001101 => [1,2,2,1,1] => 594
[8,4,7,1,5,2,3,6] => 1010100 => [1,1,1,1,1,2] => 1023
[4,8,7,5,6,1,2,3] => 0110100 => [1,2,1,1,2] => 603
[6,1,4,8,7,3,5,2] => 1001101 => [1,2,2,1,1] => 594
[7,2,8,4,3,5,6,1] => 1011001 => [1,1,2,2,1] => 611
[4,7,8,1,3,5,6,2] => 0010001 => [2,1,3,1] => 262
[8,7,3,4,1,5,6,2] => 1101001 => [2,1,1,2,1] => 603
[4,8,2,7,3,5,6,1] => 0101001 => [1,1,1,1,2,1] => 1023
[3,1,8,7,2,5,6,4] => 1011001 => [1,1,2,2,1] => 611
[3,8,1,7,2,5,6,4] => 0101001 => [1,1,1,1,2,1] => 1023
[8,2,3,7,1,5,6,4] => 1001001 => [1,2,1,2,1] => 603
[6,4,8,7,1,3,2,5] => 1011010 => [1,1,2,1,1,1] => 984
[2,8,4,6,7,3,1,5] => 0100110 => [1,1,2,2,1] => 611
[4,3,8,2,7,6,1,5] => 1010110 => [1,1,1,1,2,1] => 1023
[6,8,4,2,1,3,7,5] => 0111001 => [1,3,2,1] => 259
[7,8,2,4,3,5,6,1] => 0101001 => [1,1,1,1,2,1] => 1023
[2,8,3,7,1,5,6,4] => 0101001 => [1,1,1,1,2,1] => 1023
[8,1,2,7,3,5,6,4] => 1001001 => [1,2,1,2,1] => 603
[6,4,1,3,2,8,5,7] => 1101010 => [2,1,1,1,1,1] => 969
[5,3,8,6,2,1,4,7] => 1011100 => [1,1,3,2] => 265
[4,6,5,2,8,3,1,7] => 0110110 => [1,2,1,2,1] => 603
[4,3,7,5,1,8,2,6] => 1011010 => [1,1,2,1,1,1] => 984
[6,8,5,2,7,4,3,1] => 0110111 => [1,2,1,3] => 262
[7,2,5,4,3,8,1,6] => 1011010 => [1,1,2,1,1,1] => 984
[3,6,8,1,4,5,2,7] => 0010010 => [2,1,2,1,1] => 594
[6,8,1,2,4,5,3,7] => 0100010 => [1,1,3,1,1] => 439
[8,1,6,2,4,5,3,7] => 1010010 => [1,1,1,2,1,1] => 1006
[3,8,6,1,2,5,4,7] => 0110010 => [1,2,2,1,1] => 594
[5,8,1,6,2,3,4,7] => 0101000 => [1,1,1,1,3] => 450
[4,1,6,5,8,2,3,7] => 1010100 => [1,1,1,1,1,2] => 1023
[4,3,8,6,2,5,1,7] => 1011010 => [1,1,2,1,1,1] => 984
[8,3,6,1,4,5,2,7] => 1010010 => [1,1,1,2,1,1] => 1006
[2,3,6,8,4,5,1,7] => 0001010 => [3,1,1,1,1] => 427
[2,7,5,4,3,8,1,6] => 0111010 => [1,3,1,1,1] => 427
[6,3,8,7,4,2,5,1] => 1011101 => [1,1,3,1,1] => 439
[5,8,4,3,7,6,1,2] => 0110110 => [1,2,1,2,1] => 603
[8,7,4,3,1,6,2,5] => 1111010 => [4,1,1,1] => 145
[1,7,4,3,8,6,2,5] => 0110110 => [1,2,1,2,1] => 603
[7,1,5,3,4,8,2,6] => 1010010 => [1,1,1,2,1,1] => 1006
[2,8,6,1,7,4,5,3] => 0110101 => [1,2,1,1,1,1] => 969
[4,8,6,5,7,2,1,3] => 0110110 => [1,2,1,2,1] => 603
[4,7,6,8,2,1,5,3] => 0101101 => [1,1,1,2,1,1] => 1006
[6,1,8,7,4,3,5,2] => 1011101 => [1,1,3,1,1] => 439
[8,5,4,3,1,6,7,2] => 1111001 => [4,2,1] => 85
[1,5,8,6,3,4,7,2] => 0011001 => [2,2,2,1] => 357
[2,5,8,6,3,4,7,1] => 0011001 => [2,2,2,1] => 357
[4,1,3,8,5,6,7,2] => 1001001 => [1,2,1,2,1] => 603
[6,5,8,4,3,1,7,2] => 1011101 => [1,1,3,1,1] => 439
[4,6,5,2,8,1,7,3] => 0110101 => [1,2,1,1,1,1] => 969
[7,2,8,1,3,6,4,5] => 1010010 => [1,1,1,2,1,1] => 1006
[1,8,5,2,3,6,7,4] => 0110001 => [1,2,3,1] => 262
[1,8,3,2,5,6,7,4] => 0110001 => [1,2,3,1] => 262
[2,8,3,1,5,6,7,4] => 0110001 => [1,2,3,1] => 262
[4,8,3,2,5,6,7,1] => 0110001 => [1,2,3,1] => 262
[8,2,3,1,5,6,7,4] => 1010001 => [1,1,1,3,1] => 450
[2,1,8,3,5,6,7,4] => 1010001 => [1,1,1,3,1] => 450
[1,4,8,2,3,6,7,5] => 0010001 => [2,1,3,1] => 262
[3,1,2,7,8,6,4,5] => 1000110 => [1,3,2,1] => 259
[7,5,1,8,2,4,3,6] => 1101010 => [2,1,1,1,1,1] => 969
[3,5,8,1,2,4,7,6] => 0010001 => [2,1,3,1] => 262
[4,5,8,1,2,3,7,6] => 0010001 => [2,1,3,1] => 262
[4,2,7,1,8,6,3,5] => 1010110 => [1,1,1,1,2,1] => 1023
[3,8,4,1,2,6,7,5] => 0110001 => [1,2,3,1] => 262
[5,4,8,2,3,6,7,1] => 1010001 => [1,1,1,3,1] => 450
[5,8,3,6,7,4,1,2] => 0100110 => [1,1,2,2,1] => 611
[2,3,1,6,8,4,7,5] => 0100101 => [1,1,2,1,1,1] => 984
[2,4,3,7,1,8,5,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,4,7,3,2,8,5,6] => 0011010 => [2,2,1,1,1] => 582
[2,7,1,4,3,8,5,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,4,1,8,6,3,7,5] => 0101101 => [1,1,1,2,1,1] => 1006
[8,4,1,3,6,2,7,5] => 1100101 => [2,2,1,1,1] => 582
[6,8,5,1,7,2,3,4] => 0110100 => [1,2,1,1,2] => 603
[7,3,6,5,8,2,1,4] => 1010110 => [1,1,1,1,2,1] => 1023
[7,6,3,5,8,2,1,4] => 1100110 => [2,2,2,1] => 357
[4,5,8,7,3,6,1,2] => 0011010 => [2,2,1,1,1] => 582
[3,5,2,8,6,1,7,4] => 0101101 => [1,1,1,2,1,1] => 1006
[8,2,5,6,1,4,7,3] => 1001001 => [1,2,1,2,1] => 603
[8,6,5,4,1,2,7,3] => 1111001 => [4,2,1] => 85
[2,6,1,8,3,7,5,4] => 0101011 => [1,1,1,1,1,2] => 1023
[4,7,1,6,2,8,5,3] => 0101011 => [1,1,1,1,1,2] => 1023
[6,1,5,3,8,7,2,4] => 1010110 => [1,1,1,1,2,1] => 1023
[2,8,6,3,7,1,5,4] => 0110101 => [1,2,1,1,1,1] => 969
[7,6,1,5,8,2,3,4] => 1100100 => [2,2,1,2] => 357
[3,6,8,5,1,2,7,4] => 0011001 => [2,2,2,1] => 357
[6,5,2,4,8,1,7,3] => 1100101 => [2,2,1,1,1] => 582
[5,1,4,8,2,6,7,3] => 1001001 => [1,2,1,2,1] => 603
[4,8,2,5,1,6,7,3] => 0101001 => [1,1,1,1,2,1] => 1023
[3,4,8,5,2,6,7,1] => 0011001 => [2,2,2,1] => 357
[4,2,1,8,5,6,7,3] => 1101001 => [2,1,1,2,1] => 603
[1,5,4,8,2,6,7,3] => 0101001 => [1,1,1,1,2,1] => 1023
[7,2,1,5,8,6,3,4] => 1100110 => [2,2,2,1] => 357
[2,8,4,5,1,6,7,3] => 0101001 => [1,1,1,1,2,1] => 1023
[5,4,8,3,7,6,1,2] => 1010110 => [1,1,1,1,2,1] => 1023
[3,1,5,8,6,2,7,4] => 1001101 => [1,2,2,1,1] => 594
[6,3,4,8,5,1,7,2] => 1001101 => [1,2,2,1,1] => 594
[5,3,4,8,1,6,7,2] => 1001001 => [1,2,1,2,1] => 603
[7,6,1,2,8,3,5,4] => 1100101 => [2,2,1,1,1] => 582
[7,5,8,4,1,2,6,3] => 1011001 => [1,1,2,2,1] => 611
[7,5,8,4,6,1,3,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,5,4,8,7,1,3,2] => 1101101 => [2,1,2,1,1] => 594
[6,5,4,8,1,2,7,3] => 1101001 => [2,1,1,2,1] => 603
[7,5,1,6,2,3,8,4] => 1101001 => [2,1,1,2,1] => 603
[7,5,1,6,8,2,4,3] => 1100101 => [2,2,1,1,1] => 582
[6,5,4,1,8,2,7,3] => 1110101 => [3,1,1,1,1] => 427
[6,5,4,7,1,2,8,3] => 1101001 => [2,1,1,2,1] => 603
[6,5,4,7,8,1,3,2] => 1100101 => [2,2,1,1,1] => 582
[6,5,3,7,1,4,2,8] => 1101010 => [2,1,1,1,1,1] => 969
[6,5,3,1,8,4,2,7] => 1110110 => [3,1,2,1] => 259
[7,5,1,4,8,3,2,6] => 1100110 => [2,2,2,1] => 357
[8,1,6,4,7,3,5,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,5,1,4,8,3,6,2] => 1100101 => [2,2,1,1,1] => 582
[6,5,3,7,1,4,8,2] => 1101001 => [2,1,1,2,1] => 603
[6,4,3,1,5,8,7,2] => 1110011 => [3,2,2] => 153
[7,4,1,5,3,8,6,2] => 1101011 => [2,1,1,1,2] => 603
[8,1,5,4,3,7,6,2] => 1011011 => [1,1,2,1,2] => 611
[8,1,5,4,3,7,2,6] => 1011010 => [1,1,2,1,1,1] => 984
[7,4,1,5,3,8,2,6] => 1101010 => [2,1,1,1,1,1] => 969
[7,4,1,5,3,2,6,8] => 1101100 => [2,1,2,2] => 363
[8,1,5,4,3,2,6,7] => 1011100 => [1,1,3,2] => 265
[8,1,6,4,2,5,3,7] => 1011010 => [1,1,2,1,1,1] => 984
[6,5,3,1,2,7,4,8] => 1110010 => [3,2,1,1] => 256
[6,5,3,8,1,4,2,7] => 1101010 => [2,1,1,1,1,1] => 969
[7,6,8,1,4,3,2,5] => 1010110 => [1,1,1,1,2,1] => 1023
[8,1,7,2,5,4,3,6] => 1010110 => [1,1,1,1,2,1] => 1023
[8,1,7,2,5,4,6,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,6,1,2,5,4,8,3] => 1100101 => [2,2,1,1,1] => 582
[6,5,3,8,1,4,7,2] => 1101001 => [2,1,1,2,1] => 603
[6,5,3,1,2,7,8,4] => 1110001 => [3,3,1] => 110
[7,5,1,4,2,6,8,3] => 1101001 => [2,1,1,2,1] => 603
[8,1,6,4,2,5,7,3] => 1011001 => [1,1,2,2,1] => 611
[7,4,1,5,3,2,8,6] => 1101101 => [2,1,2,1,1] => 594
[6,4,3,1,5,2,8,7] => 1110101 => [3,1,1,1,1] => 427
[6,4,3,1,5,7,2,8] => 1110010 => [3,2,1,1] => 256
[7,4,1,5,3,6,2,8] => 1101010 => [2,1,1,1,1,1] => 969
[8,1,5,4,3,6,2,7] => 1011010 => [1,1,2,1,1,1] => 984
[8,1,5,4,3,6,7,2] => 1011001 => [1,1,2,2,1] => 611
[7,4,1,5,3,6,8,2] => 1101001 => [2,1,1,2,1] => 603
[6,4,3,1,5,7,8,2] => 1110001 => [3,3,1] => 110
[6,7,3,8,4,5,1,2] => 0101010 => [1,1,1,1,1,1,1] => 1623
[6,7,4,5,1,8,2,3] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,7,5,6,2,3,1,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,7,5,6,1,8,2,3] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,7,5,6,3,8,1,2] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,7,5,8,4,6,1,2] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,5,3,8,6,7,1,2] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,8,3,6,5,7,1,2] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,6,4,7,1,8,2,3] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,6,1,7,3,8,2,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,6,1,8,2,7,3,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,6,1,8,4,7,2,3] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,8,1,6,5,7,2,3] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,5,1,8,6,7,2,3] => 0101010 => [1,1,1,1,1,1,1] => 1623
[7,8,4,5,1,6,2,3] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,8,2,3,1,6,5,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,6,2,8,1,4,3,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,6,3,4,1,8,2,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,6,4,5,2,7,1,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,6,4,5,1,8,2,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,6,4,8,1,5,3,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,8,3,6,1,5,4,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,8,3,4,1,6,5,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[7,8,2,5,3,4,1,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[7,8,1,5,3,6,2,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,5,3,8,6,7,2,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,8,3,6,2,7,4,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,6,4,8,2,7,3,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,6,4,7,3,5,1,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,7,3,6,4,5,1,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,7,3,6,4,8,2,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,7,2,8,4,6,3,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,7,5,8,4,6,2,3] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,7,5,8,2,6,3,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,7,5,6,3,8,2,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,7,5,6,3,4,1,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[6,7,2,5,3,4,1,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[6,7,1,5,3,8,2,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[6,7,5,8,1,4,2,3] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,8,6,7,2,3,1,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[6,7,2,3,1,8,4,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[6,7,2,8,1,4,3,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,4,2,7,5,6,1,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,4,1,7,5,8,2,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,7,5,8,1,4,3,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,3,1,7,5,8,4,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,3,1,8,4,7,5,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[7,8,2,3,1,6,4,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[7,8,2,6,1,4,3,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,8,6,7,1,4,3,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,8,1,4,3,7,5,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,7,2,5,4,6,1,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,5,2,7,3,6,1,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,5,1,8,2,7,3,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,4,1,8,2,7,5,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,4,1,8,6,7,2,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,4,2,5,1,8,6,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,4,2,8,1,6,5,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,8,2,5,1,6,4,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,5,2,8,1,6,3,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,5,3,6,1,8,2,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[8,6,7,1,4,2,5,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,6,3,7,5,1,2,4] => 1101100 => [2,1,2,2] => 363
[7,6,1,8,3,5,2,4] => 1101010 => [2,1,1,1,1,1] => 969
[7,6,2,8,3,5,1,4] => 1101010 => [2,1,1,1,1,1] => 969
[7,6,2,3,8,5,1,4] => 1100110 => [2,2,2,1] => 357
[8,7,1,5,2,6,3,4] => 1101010 => [2,1,1,1,1,1] => 969
[8,7,1,5,2,3,6,4] => 1101001 => [2,1,1,2,1] => 603
[8,5,2,3,1,7,6,4] => 1101011 => [2,1,1,1,2] => 603
[8,6,2,3,7,1,5,4] => 1100101 => [2,2,1,1,1] => 582
[8,6,2,7,3,1,5,4] => 1101101 => [2,1,2,1,1] => 594
[8,7,2,5,1,6,3,4] => 1101010 => [2,1,1,1,1,1] => 969
[8,4,2,1,7,6,3,5] => 1110110 => [3,1,2,1] => 259
[8,5,7,2,1,4,3,6] => 1011010 => [1,1,2,1,1,1] => 984
[5,8,7,3,1,4,2,6] => 0111010 => [1,3,1,1,1] => 427
[5,8,7,3,1,4,6,2] => 0111001 => [1,3,2,1] => 259
[8,5,7,2,1,4,6,3] => 1011001 => [1,1,2,2,1] => 611
[8,4,2,1,3,7,6,5] => 1110011 => [3,2,2] => 153
[8,4,3,1,7,2,6,5] => 1110101 => [3,1,1,1,1] => 427
[8,6,1,3,7,2,5,4] => 1100101 => [2,2,1,1,1] => 582
[8,5,1,3,2,7,6,4] => 1101011 => [2,1,1,1,2] => 603
[6,1,5,8,4,2,7,3] => 1001101 => [1,2,2,1,1] => 594
[5,2,8,6,4,1,3,7] => 1011100 => [1,1,3,2] => 265
[8,4,7,5,1,6,2,3] => 1011010 => [1,1,2,1,1,1] => 984
[8,4,7,5,1,2,3,6] => 1011000 => [1,1,2,3] => 265
[8,7,3,5,1,2,6,4] => 1101001 => [2,1,1,2,1] => 603
[8,3,2,6,5,1,4,7] => 1101100 => [2,1,2,2] => 363
[4,8,6,3,5,1,2,7] => 0110100 => [1,2,1,1,2] => 603
[4,8,7,3,1,5,2,6] => 0111010 => [1,3,1,1,1] => 427
[8,4,7,2,1,5,3,6] => 1011010 => [1,1,2,1,1,1] => 984
[8,7,3,1,4,2,6,5] => 1110101 => [3,1,1,1,1] => 427
[8,7,3,1,2,6,4,5] => 1110010 => [3,2,1,1] => 256
[8,7,3,1,2,4,6,5] => 1110001 => [3,3,1] => 110
[8,3,2,1,4,7,6,5] => 1110011 => [3,2,2] => 153
[8,3,2,1,7,4,6,5] => 1110101 => [3,1,1,1,1] => 427
[8,3,2,7,1,5,6,4] => 1101001 => [2,1,1,2,1] => 603
[8,4,7,2,1,5,6,3] => 1011001 => [1,1,2,2,1] => 611
[8,7,2,1,6,3,4,5] => 1110100 => [3,1,1,2] => 259
[3,6,5,4,1,2,8,7] => 0111001 => [1,3,2,1] => 259
[3,8,5,6,7,4,1,2] => 0100110 => [1,1,2,2,1] => 611
[4,7,5,8,6,2,1,3] => 0101110 => [1,1,1,3,1] => 450
[2,5,7,8,6,3,4,1] => 0001101 => [3,2,1,1] => 256
[4,8,5,7,6,3,1,2] => 0101110 => [1,1,1,3,1] => 450
[4,6,3,2,1,5,8,7] => 0111001 => [1,3,2,1] => 259
[6,2,1,5,3,4,8,7] => 1101001 => [2,1,1,2,1] => 603
[5,8,1,3,7,6,4,2] => 0100111 => [1,1,2,3] => 265
[4,7,2,3,6,1,8,5] => 0100101 => [1,1,2,1,1,1] => 984
[3,7,4,2,8,1,5,6] => 0110100 => [1,2,1,1,2] => 603
[4,2,6,8,5,7,3,1] => 1001011 => [1,2,1,1,2] => 603
[6,4,2,7,3,8,5,1] => 1101011 => [2,1,1,1,2] => 603
[8,1,6,7,5,3,4,2] => 1001101 => [1,2,2,1,1] => 594
[2,1,5,8,7,6,3,4] => 1001110 => [1,2,3,1] => 262
[2,1,4,7,6,3,8,5] => 1001101 => [1,2,2,1,1] => 594
[6,4,7,8,5,3,2,1] => 1001111 => [1,2,4] => 85
[4,1,3,7,6,2,8,5] => 1001101 => [1,2,2,1,1] => 594
[8,5,1,6,3,2,7,4] => 1101101 => [2,1,2,1,1] => 594
[6,3,7,1,5,2,8,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[3,2,6,8,4,7,5,1] => 1001011 => [1,2,1,1,2] => 603
[8,4,6,1,3,2,5,7] => 1010100 => [1,1,1,1,1,2] => 1023
[4,2,8,6,7,3,1,5] => 1010110 => [1,1,1,1,2,1] => 1023
[7,4,3,8,2,1,5,6] => 1101100 => [2,1,2,2] => 363
[4,7,5,8,1,6,3,2] => 0101011 => [1,1,1,1,1,2] => 1023
[6,4,3,2,7,8,1,5] => 1110010 => [3,2,1,1] => 256
[4,2,5,1,6,7,8,3] => 1010001 => [1,1,1,3,1] => 450
[2,4,8,5,7,1,3,6] => 0010100 => [2,1,1,1,2] => 603
[3,7,1,4,6,8,5,2] => 0100011 => [1,1,3,2] => 265
[7,8,2,5,6,1,4,3] => 0100101 => [1,1,2,1,1,1] => 984
[2,4,3,8,7,5,6,1] => 0101101 => [1,1,1,2,1,1] => 1006
[2,6,7,3,5,1,8,4] => 0010101 => [2,1,1,1,1,1] => 969
[7,6,8,4,2,5,3,1] => 1011011 => [1,1,2,1,2] => 611
[8,5,7,1,6,3,2,4] => 1010110 => [1,1,1,1,2,1] => 1023
[6,5,7,2,8,4,3,1] => 1010111 => [1,1,1,1,3] => 450
[3,4,8,6,5,2,1,7] => 0011110 => [2,4,1] => 85
[2,7,6,1,4,5,8,3] => 0110001 => [1,2,3,1] => 262
[6,5,8,2,1,7,3,4] => 1011010 => [1,1,2,1,1,1] => 984
[7,4,3,5,1,6,8,2] => 1101001 => [2,1,1,2,1] => 603
[4,1,6,3,5,8,7,2] => 1010011 => [1,1,1,2,2] => 622
[6,2,5,8,4,3,7,1] => 1001101 => [1,2,2,1,1] => 594
[8,6,7,1,5,4,3,2] => 1010111 => [1,1,1,1,3] => 450
[2,1,6,5,8,4,7,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[2,1,6,8,5,4,3,7] => 1001110 => [1,2,3,1] => 262
[4,1,8,5,6,2,3,7] => 1010100 => [1,1,1,1,1,2] => 1023
[2,6,4,8,7,3,5,1] => 0101101 => [1,1,1,2,1,1] => 1006
[6,2,8,4,3,5,1,7] => 1011010 => [1,1,2,1,1,1] => 984
[4,8,2,7,6,1,3,5] => 0101100 => [1,1,1,2,2] => 622
[3,1,8,2,7,5,4,6] => 1010110 => [1,1,1,1,2,1] => 1023
[3,8,1,2,6,7,4,5] => 0100010 => [1,1,3,1,1] => 439
[5,8,4,3,2,7,1,6] => 0111010 => [1,3,1,1,1] => 427
[7,4,8,6,3,2,5,1] => 1011101 => [1,1,3,1,1] => 439
[5,8,4,7,2,1,3,6] => 0101100 => [1,1,1,2,2] => 622
[2,1,8,4,3,7,5,6] => 1011010 => [1,1,2,1,1,1] => 984
[6,3,8,2,4,5,7,1] => 1010001 => [1,1,1,3,1] => 450
[5,8,4,2,3,6,1,7] => 0110010 => [1,2,2,1,1] => 594
[5,8,2,4,3,1,6,7] => 0101100 => [1,1,1,2,2] => 622
[2,8,3,1,6,4,5,7] => 0110100 => [1,2,1,1,2] => 603
[8,2,1,3,4,7,5,6] => 1100010 => [2,3,1,1] => 256
[1,4,8,2,6,3,5,7] => 0010100 => [2,1,1,1,2] => 603
[1,2,7,3,5,4,8,6] => 0010101 => [2,1,1,1,1,1] => 969
[1,2,3,8,4,5,7,6] => 0001001 => [3,1,2,1] => 259
[1,2,8,3,4,5,7,6] => 0010001 => [2,1,3,1] => 262
[1,3,8,2,6,4,5,7] => 0010100 => [2,1,1,1,2] => 603
[1,5,7,2,3,6,4,8] => 0010010 => [2,1,2,1,1] => 594
[1,7,2,3,5,4,8,6] => 0100101 => [1,1,2,1,1,1] => 984
[1,3,8,2,4,5,7,6] => 0010001 => [2,1,3,1] => 262
[1,2,3,8,4,6,7,5] => 0001001 => [3,1,2,1] => 259
[1,8,2,3,5,4,6,7] => 0100100 => [1,1,2,1,2] => 611
[1,7,8,2,3,6,4,5] => 0010010 => [2,1,2,1,1] => 594
[1,6,7,8,2,3,5,4] => 0001001 => [3,1,2,1] => 259
[1,7,8,2,5,3,6,4] => 0010101 => [2,1,1,1,1,1] => 969
[1,7,8,2,4,5,3,6] => 0010010 => [2,1,2,1,1] => 594
[1,2,8,3,6,4,5,7] => 0010100 => [2,1,1,1,2] => 603
[1,8,2,3,6,4,5,7] => 0100100 => [1,1,2,1,2] => 611
[1,2,8,3,5,4,6,7] => 0010100 => [2,1,1,1,2] => 603
[1,2,7,8,3,6,4,5] => 0001010 => [3,1,1,1,1] => 427
[1,5,2,7,8,3,6,4] => 0100101 => [1,1,2,1,1,1] => 984
[1,3,2,8,4,6,7,5] => 0101001 => [1,1,1,1,2,1] => 1023
[1,8,2,3,4,6,7,5] => 0100001 => [1,1,4,1] => 148
[1,7,8,2,4,3,6,5] => 0010101 => [2,1,1,1,1,1] => 969
[7,6,3,1,5,2,4,8] => 1110100 => [3,1,1,2] => 259
[6,7,3,1,5,2,8,4] => 0110101 => [1,2,1,1,1,1] => 969
[6,8,3,1,5,2,7,4] => 0110101 => [1,2,1,1,1,1] => 969
[6,8,4,5,1,2,7,3] => 0101001 => [1,1,1,1,2,1] => 1023
[6,7,4,5,1,2,8,3] => 0101001 => [1,1,1,1,2,1] => 1023
[7,2,1,6,5,3,4,8] => 1101100 => [2,1,2,2] => 363
[7,3,6,1,5,2,4,8] => 1010100 => [1,1,1,1,1,2] => 1023
[7,4,6,5,1,2,3,8] => 1011000 => [1,1,2,3] => 265
[6,7,5,4,1,2,8,3] => 0111001 => [1,3,2,1] => 259
[5,8,6,4,1,7,2,3] => 0111010 => [1,3,1,1,1] => 427
[5,7,6,4,1,8,2,3] => 0111010 => [1,3,1,1,1] => 427
[5,6,7,4,1,8,2,3] => 0011010 => [2,2,1,1,1] => 582
[6,5,7,4,1,2,8,3] => 1011001 => [1,1,2,2,1] => 611
[6,4,7,5,1,2,8,3] => 1011001 => [1,1,2,2,1] => 611
[6,2,1,7,5,3,8,4] => 1101101 => [2,1,2,1,1] => 594
[6,3,8,1,5,2,7,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,4,8,5,1,2,7,3] => 1011001 => [1,1,2,2,1] => 611
[6,5,8,4,1,2,7,3] => 1011001 => [1,1,2,2,1] => 611
[5,6,8,4,1,7,2,3] => 0011010 => [2,2,1,1,1] => 582
[4,6,8,5,7,1,2,3] => 0010100 => [2,1,1,1,2] => 603
[4,5,8,6,7,1,2,3] => 0010100 => [2,1,1,1,2] => 603
[5,4,8,6,1,7,2,3] => 1011010 => [1,1,2,1,1,1] => 984
[5,3,8,1,6,7,2,4] => 1010010 => [1,1,1,2,1,1] => 1006
[5,2,1,8,6,7,3,4] => 1101010 => [2,1,1,1,1,1] => 969
[5,2,1,7,6,8,3,4] => 1101010 => [2,1,1,1,1,1] => 969
[5,4,7,6,1,8,2,3] => 1011010 => [1,1,2,1,1,1] => 984
[4,5,7,6,8,1,2,3] => 0010100 => [2,1,1,1,2] => 603
[4,6,7,5,8,1,2,3] => 0010100 => [2,1,1,1,2] => 603
[4,8,6,5,7,1,2,3] => 0110100 => [1,2,1,1,2] => 603
[4,8,5,6,7,1,2,3] => 0100100 => [1,1,2,1,2] => 611
[4,7,5,6,8,1,2,3] => 0100100 => [1,1,2,1,2] => 611
[4,6,5,7,8,1,2,3] => 0100100 => [1,1,2,1,2] => 611
[5,7,4,6,1,8,2,3] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,8,4,6,1,7,2,3] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,8,3,1,6,7,2,4] => 0110010 => [1,2,2,1,1] => 594
[5,7,3,1,6,8,2,4] => 0110010 => [1,2,2,1,1] => 594
[5,6,3,1,7,8,2,4] => 0110010 => [1,2,2,1,1] => 594
[6,2,1,4,3,8,7,5] => 1101011 => [2,1,1,1,2] => 603
[5,8,3,1,7,6,2,4] => 0110110 => [1,2,1,2,1] => 603
[5,7,4,8,1,6,2,3] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,2,1,6,8,7,3,4] => 1100110 => [2,2,2,1] => 357
[5,4,6,8,1,7,2,3] => 1001010 => [1,2,1,1,1,1] => 969
[4,5,6,8,7,1,2,3] => 0001100 => [3,2,2] => 153
[4,7,5,8,6,1,2,3] => 0101100 => [1,1,1,2,2] => 622
[4,8,5,7,6,1,2,3] => 0101100 => [1,1,1,2,2] => 622
[4,8,6,7,5,1,2,3] => 0101100 => [1,1,1,2,2] => 622
[4,7,6,8,5,1,2,3] => 0101100 => [1,1,1,2,2] => 622
[4,6,7,8,5,1,2,3] => 0001100 => [3,2,2] => 153
[4,5,7,8,6,1,2,3] => 0001100 => [3,2,2] => 153
[5,4,7,8,1,6,2,3] => 1001010 => [1,2,1,1,1,1] => 969
[5,3,7,1,8,6,2,4] => 1010110 => [1,1,1,1,2,1] => 1023
[5,2,1,7,8,6,3,4] => 1100110 => [2,2,2,1] => 357
[5,3,8,1,7,6,2,4] => 1010110 => [1,1,1,1,2,1] => 1023
[5,4,8,7,1,6,2,3] => 1011010 => [1,1,2,1,1,1] => 984
[4,6,8,7,5,1,2,3] => 0011100 => [2,3,2] => 153
[4,7,8,6,5,1,2,3] => 0011100 => [2,3,2] => 153
[4,8,7,6,5,1,2,3] => 0111100 => [1,4,2] => 85
[2,5,4,7,3,6,1,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,4,6,3,7,5,1,8] => 0010110 => [2,1,1,2,1] => 603
[4,2,7,3,6,5,1,8] => 1010110 => [1,1,1,1,2,1] => 1023
[4,2,6,3,1,5,8,7] => 1011001 => [1,1,2,2,1] => 611
[2,5,3,1,6,4,8,7] => 0110101 => [1,2,1,1,1,1] => 969
[2,5,3,7,6,4,1,8] => 0101110 => [1,1,1,3,1] => 450
[2,6,5,3,7,4,1,8] => 0110110 => [1,2,1,2,1] => 603
[4,2,7,6,3,5,1,8] => 1011010 => [1,1,2,1,1,1] => 984
[2,7,5,3,6,4,1,8] => 0110110 => [1,2,1,2,1] => 603
[2,6,3,7,5,4,1,8] => 0101110 => [1,1,1,3,1] => 450
[1,7,5,2,3,8,4,6] => 0110010 => [1,2,2,1,1] => 594
[2,1,3,7,5,4,8,6] => 1001101 => [1,2,2,1,1] => 594
[2,3,1,8,6,5,4,7] => 0101110 => [1,1,1,3,1] => 450
[2,5,3,1,8,6,4,7] => 0110110 => [1,2,1,2,1] => 603
[4,2,8,3,1,6,5,7] => 1011010 => [1,1,2,1,1,1] => 984
[8,3,2,6,4,1,5,7] => 1101100 => [2,1,2,2] => 363
[3,6,8,2,1,4,5,7] => 0011000 => [2,2,3] => 153
[1,5,2,8,3,4,7,6] => 0101001 => [1,1,1,1,2,1] => 1023
[1,2,6,3,8,7,4,5] => 0010110 => [2,1,1,2,1] => 603
[1,2,8,3,6,4,7,5] => 0010101 => [2,1,1,1,1,1] => 969
[1,2,7,6,3,4,8,5] => 0011001 => [2,2,2,1] => 357
[2,1,3,8,7,5,4,6] => 1001110 => [1,2,3,1] => 262
[1,2,3,8,6,4,7,5] => 0001101 => [3,2,1,1] => 256
[1,2,3,7,4,8,6,5] => 0001011 => [3,1,1,2] => 259
[1,2,7,6,3,8,4,5] => 0011010 => [2,2,1,1,1] => 582
[1,2,3,6,4,8,7,5] => 0001011 => [3,1,1,2] => 259
[1,2,3,7,6,4,8,5] => 0001101 => [3,2,1,1] => 256
[2,6,3,1,8,5,4,7] => 0110110 => [1,2,1,2,1] => 603
[2,1,3,8,5,4,7,6] => 1001101 => [1,2,2,1,1] => 594
[7,1,8,4,2,3,5,6] => 1011000 => [1,1,2,3] => 265
[2,1,8,4,3,5,7,6] => 1011001 => [1,1,2,2,1] => 611
[4,2,6,3,1,8,5,7] => 1011010 => [1,1,2,1,1,1] => 984
[5,4,2,8,3,1,6,7] => 1101100 => [2,1,2,2] => 363
[3,5,8,2,4,1,6,7] => 0010100 => [2,1,1,1,2] => 603
[2,5,4,8,3,1,6,7] => 0101100 => [1,1,1,2,2] => 622
[4,2,1,8,3,5,7,6] => 1101001 => [2,1,1,2,1] => 603
[1,8,7,4,2,3,5,6] => 0111000 => [1,3,3] => 110
[1,5,2,8,7,3,4,6] => 0101100 => [1,1,1,2,2] => 622
[1,2,7,3,6,4,8,5] => 0010101 => [2,1,1,1,1,1] => 969
[1,2,8,6,3,7,4,5] => 0011010 => [2,2,1,1,1] => 582
[1,2,7,3,8,6,4,5] => 0010110 => [2,1,1,2,1] => 603
[1,2,3,8,4,7,6,5] => 0001011 => [3,1,1,2] => 259
[1,2,7,3,4,8,6,5] => 0010011 => [2,1,2,2] => 363
[1,2,6,3,8,4,7,5] => 0010101 => [2,1,1,1,1,1] => 969
[1,5,2,3,8,7,4,6] => 0100110 => [1,1,2,2,1] => 611
[4,2,1,8,3,7,5,6] => 1101010 => [2,1,1,1,1,1] => 969
[8,3,2,1,7,4,5,6] => 1110100 => [3,1,1,2] => 259
[1,8,4,2,7,3,5,6] => 0110100 => [1,2,1,1,2] => 603
[1,2,8,6,3,4,7,5] => 0011001 => [2,2,2,1] => 357
[1,2,7,3,8,4,6,5] => 0010101 => [2,1,1,1,1,1] => 969
[1,2,3,8,7,4,6,5] => 0001101 => [3,2,1,1] => 256
[1,2,3,8,7,6,4,5] => 0001110 => [3,3,1] => 110
[2,5,3,8,1,6,4,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,6,4,7,1,5,3,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,6,5,7,1,4,3,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,8,5,7,1,2,6,4] => 0101001 => [1,1,1,1,2,1] => 1023
[3,8,5,7,2,6,4,1] => 0101011 => [1,1,1,1,1,2] => 1023
[3,4,8,6,2,5,7,1] => 0011001 => [2,2,2,1] => 357
[3,4,8,6,1,2,5,7] => 0011000 => [2,2,3] => 153
[2,5,7,1,4,8,6,3] => 0010011 => [2,1,2,2] => 363
[2,4,8,1,5,7,6,3] => 0010011 => [2,1,2,2] => 363
[2,4,3,8,1,6,5,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,8,1,7,5,6,4,3] => 0101011 => [1,1,1,1,1,2] => 1023
[2,3,8,1,6,5,7,4] => 0010101 => [2,1,1,1,1,1] => 969
[2,4,8,1,3,5,7,6] => 0010001 => [2,1,3,1] => 262
[3,5,7,6,1,2,4,8] => 0011000 => [2,2,3] => 153
[3,5,7,6,2,4,8,1] => 0011001 => [2,2,2,1] => 357
[4,8,6,7,2,3,5,1] => 0101001 => [1,1,1,1,2,1] => 1023
[4,8,6,7,1,2,3,5] => 0101000 => [1,1,1,1,3] => 450
[4,8,6,7,1,3,5,2] => 0101001 => [1,1,1,1,2,1] => 1023
[3,4,8,6,1,5,7,2] => 0011001 => [2,2,2,1] => 357
[3,8,5,7,1,6,4,2] => 0101011 => [1,1,1,1,1,2] => 1023
[3,2,8,5,6,1,7,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[3,8,5,7,2,1,6,4] => 0101101 => [1,1,1,2,1,1] => 1006
[3,4,8,6,2,1,5,7] => 0011100 => [2,3,2] => 153
[3,5,7,6,2,1,4,8] => 0011100 => [2,3,2] => 153
[4,8,6,7,2,1,3,5] => 0101100 => [1,1,1,2,2] => 622
[4,8,6,7,3,5,2,1] => 0101011 => [1,1,1,1,1,2] => 1023
[5,8,6,7,3,4,2,1] => 0101011 => [1,1,1,1,1,2] => 1023
[5,8,6,7,2,1,3,4] => 0101100 => [1,1,1,2,2] => 622
[5,8,6,7,2,1,4,3] => 0101101 => [1,1,1,2,1,1] => 1006
[4,8,6,7,2,1,5,3] => 0101101 => [1,1,1,2,1,1] => 1006
[4,3,1,7,5,2,8,6] => 1101101 => [2,1,2,1,1] => 594
[4,3,2,8,5,1,7,6] => 1101101 => [2,1,2,1,1] => 594
[4,3,8,5,1,6,7,2] => 1011001 => [1,1,2,2,1] => 611
[4,8,6,7,1,5,3,2] => 0101011 => [1,1,1,1,1,2] => 1023
[5,8,6,7,1,4,3,2] => 0101011 => [1,1,1,1,1,2] => 1023
[5,8,6,7,2,3,4,1] => 0101001 => [1,1,1,1,2,1] => 1023
[5,8,6,7,2,4,3,1] => 0101011 => [1,1,1,1,1,2] => 1023
[5,8,6,7,1,2,4,3] => 0101001 => [1,1,1,1,2,1] => 1023
[4,2,3,8,5,1,6,7] => 1001100 => [1,2,2,2] => 363
[4,2,8,5,1,7,6,3] => 1011011 => [1,1,2,1,2] => 611
[3,4,2,8,5,6,1,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,2,4,8,6,1,5,7] => 1001100 => [1,2,2,2] => 363
[3,2,5,7,6,1,4,8] => 1001100 => [1,2,2,2] => 363
[4,8,6,7,1,3,2,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,8,6,7,1,2,5,3] => 0101001 => [1,1,1,1,2,1] => 1023
[4,8,6,7,2,5,3,1] => 0101011 => [1,1,1,1,1,2] => 1023
[4,3,8,5,2,6,7,1] => 1011001 => [1,1,2,2,1] => 611
[4,3,8,5,1,2,6,7] => 1011000 => [1,1,2,3] => 265
[4,2,6,7,5,1,3,8] => 1001100 => [1,2,2,2] => 363
[3,8,5,7,1,4,2,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,8,4,7,1,5,2,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,5,2,8,4,6,1,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,5,1,7,4,6,2,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,8,4,7,2,5,1,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,1,3,8,5,2,6,7] => 1001100 => [1,2,2,2] => 363
[4,1,2,6,7,5,3,8] => 1000110 => [1,3,2,1] => 259
[4,2,6,7,5,3,8,1] => 1001101 => [1,2,2,1,1] => 594
[4,8,6,7,3,2,5,1] => 0101101 => [1,1,1,2,1,1] => 1006
[4,8,6,7,3,1,2,5] => 0101100 => [1,1,1,2,2] => 622
[3,1,5,7,6,2,4,8] => 1001100 => [1,2,2,2] => 363
[3,4,1,7,5,6,2,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,1,7,5,2,8,6,3] => 1011011 => [1,1,2,1,2] => 611
[4,1,6,7,5,2,3,8] => 1001100 => [1,2,2,2] => 363
[4,8,6,7,2,3,1,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,8,6,7,3,2,4,1] => 0101101 => [1,1,1,2,1,1] => 1006
[5,8,6,7,4,2,3,1] => 0101101 => [1,1,1,2,1,1] => 1006
[5,8,6,7,4,1,2,3] => 0101100 => [1,1,1,2,2] => 622
[5,8,6,7,4,1,3,2] => 0101101 => [1,1,1,2,1,1] => 1006
[5,8,6,7,3,1,4,2] => 0101101 => [1,1,1,2,1,1] => 1006
[4,8,6,7,3,1,5,2] => 0101101 => [1,1,1,2,1,1] => 1006
[4,1,6,7,5,3,8,2] => 1001101 => [1,2,2,1,1] => 594
[4,1,7,5,3,2,8,6] => 1011101 => [1,1,3,1,1] => 439
[4,2,8,5,3,1,7,6] => 1011101 => [1,1,3,1,1] => 439
[4,2,1,6,7,5,3,8] => 1100110 => [2,2,2,1] => 357
[4,8,6,7,3,2,1,5] => 0101110 => [1,1,1,3,1] => 450
[5,8,6,7,4,2,1,3] => 0101110 => [1,1,1,3,1] => 450
[5,8,6,7,4,3,1,2] => 0101110 => [1,1,1,3,1] => 450
[7,3,5,8,1,4,2,6] => 1001010 => [1,2,1,1,1,1] => 969
[3,8,7,6,1,4,2,5] => 0111010 => [1,3,1,1,1] => 427
[5,1,8,3,6,7,2,4] => 1010010 => [1,1,1,2,1,1] => 1006
[1,4,7,8,5,6,2,3] => 0001010 => [3,1,1,1,1] => 427
[3,4,7,1,5,8,6,2] => 0010011 => [2,1,2,2] => 363
[3,6,1,4,7,8,5,2] => 0100011 => [1,1,3,2] => 265
[1,6,8,4,7,5,2,3] => 0010110 => [2,1,1,2,1] => 603
[6,8,1,3,5,7,2,4] => 0100010 => [1,1,3,1,1] => 439
[7,6,1,4,3,8,2,5] => 1101010 => [2,1,1,1,1,1] => 969
[3,8,1,6,5,4,2,7] => 0101110 => [1,1,1,3,1] => 450
[4,1,3,7,5,8,2,6] => 1001010 => [1,2,1,1,1,1] => 969
[6,1,7,3,8,4,2,5] => 1010110 => [1,1,1,1,2,1] => 1023
[7,1,8,6,3,5,2,4] => 1011010 => [1,1,2,1,1,1] => 984
[3,1,7,6,5,8,4,2] => 1011011 => [1,1,2,1,2] => 611
[8,2,7,6,5,3,4,1] => 1011101 => [1,1,3,1,1] => 439
[8,4,2,6,7,5,3,1] => 1100111 => [2,2,3] => 153
[4,8,1,6,7,5,3,2] => 0100111 => [1,1,2,3] => 265
[7,4,1,6,8,2,5,3] => 1100101 => [2,2,1,1,1] => 582
[1,3,8,6,2,7,5,4] => 0011011 => [2,2,1,2] => 357
[6,1,3,2,7,8,4,5] => 1010010 => [1,1,1,2,1,1] => 1006
[1,8,6,2,5,3,4,7] => 0110100 => [1,2,1,1,2] => 603
[4,7,2,6,8,1,5,3] => 0100101 => [1,1,2,1,1,1] => 984
[8,7,3,6,4,5,2,1] => 1101011 => [2,1,1,1,2] => 603
[5,7,8,6,2,1,4,3] => 0011101 => [2,3,1,1] => 256
[2,7,4,1,6,8,3,5] => 0110010 => [1,2,2,1,1] => 594
[3,7,2,4,5,1,6,8] => 0100100 => [1,1,2,1,2] => 611
[1,8,6,4,5,2,3,7] => 0110100 => [1,2,1,1,2] => 603
[2,8,4,6,5,1,3,7] => 0101100 => [1,1,1,2,2] => 622
[3,4,1,7,5,2,6,8] => 0101100 => [1,1,1,2,2] => 622
[7,5,8,6,1,2,4,3] => 1011001 => [1,1,2,2,1] => 611
[5,6,8,7,3,1,4,2] => 0011101 => [2,3,1,1] => 256
[2,5,4,3,6,8,1,7] => 0110010 => [1,2,2,1,1] => 594
[3,8,5,4,6,2,1,7] => 0110110 => [1,2,1,2,1] => 603
[4,8,2,1,3,7,5,6] => 0110010 => [1,2,2,1,1] => 594
[6,4,1,2,7,5,8,3] => 1100101 => [2,2,1,1,1] => 582
[4,1,8,3,6,7,5,2] => 1010011 => [1,1,1,2,2] => 622
[8,3,7,4,5,2,6,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,3,7,8,5,1,6,2] => 1001101 => [1,2,2,1,1] => 594
[5,4,8,2,7,6,1,3] => 1010110 => [1,1,1,1,2,1] => 1023
[1,2,7,3,6,5,8,4] => 0010101 => [2,1,1,1,1,1] => 969
[2,8,7,6,3,4,1,5] => 0111010 => [1,3,1,1,1] => 427
[5,8,2,6,3,4,1,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,1,7,5,8,6,2,3] => 1010110 => [1,1,1,1,2,1] => 1023
[5,1,7,8,4,3,6,2] => 1001101 => [1,2,2,1,1] => 594
[8,2,7,5,4,3,6,1] => 1011101 => [1,1,3,1,1] => 439
[6,3,8,1,4,7,5,2] => 1010011 => [1,1,1,2,2] => 622
[3,8,4,5,6,1,2,7] => 0100100 => [1,1,2,1,2] => 611
[1,4,3,5,7,8,2,6] => 0100010 => [1,1,3,1,1] => 439
[6,5,8,7,1,3,4,2] => 1011001 => [1,1,2,2,1] => 611
[3,6,7,2,4,8,1,5] => 0010010 => [2,1,2,1,1] => 594
[1,5,2,7,4,3,8,6] => 0101101 => [1,1,1,2,1,1] => 1006
[2,8,5,6,4,3,1,7] => 0101110 => [1,1,1,3,1] => 450
[1,8,6,5,4,3,2,7] => 0111110 => [1,5,1] => 37
[6,1,5,2,8,4,7,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,6,1,8,5,7,2,3] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,7,1,2,8,5,6,3] => 0100101 => [1,1,2,1,1,1] => 984
[1,4,7,2,8,5,6,3] => 0010101 => [2,1,1,1,1,1] => 969
[1,7,3,5,8,6,2,4] => 0100110 => [1,1,2,2,1] => 611
[7,3,5,8,6,1,2,4] => 1001100 => [1,2,2,2] => 363
[3,6,8,1,5,7,2,4] => 0010010 => [2,1,2,1,1] => 594
[3,4,6,5,8,1,7,2] => 0010101 => [2,1,1,1,1,1] => 969
[6,8,1,5,7,2,3,4] => 0100100 => [1,1,2,1,2] => 611
[7,1,2,5,8,6,3,4] => 1000110 => [1,3,2,1] => 259
[1,7,2,5,8,6,3,4] => 0100110 => [1,1,2,2,1] => 611
[1,7,6,8,2,3,5,4] => 0101001 => [1,1,1,1,2,1] => 1023
[7,6,8,1,2,3,5,4] => 1010001 => [1,1,1,3,1] => 450
[2,7,1,5,8,6,3,4] => 0100110 => [1,1,2,2,1] => 611
[2,4,7,1,8,5,6,3] => 0010101 => [2,1,1,1,1,1] => 969
[4,7,5,8,3,1,6,2] => 0101101 => [1,1,1,2,1,1] => 1006
[4,7,2,1,8,5,6,3] => 0110101 => [1,2,1,1,1,1] => 969
[7,6,8,2,1,3,5,4] => 1011001 => [1,1,2,2,1] => 611
[1,2,7,6,8,3,5,4] => 0010101 => [2,1,1,1,1,1] => 969
[3,7,6,8,2,1,5,4] => 0101101 => [1,1,1,2,1,1] => 1006
[7,4,2,1,6,8,5,3] => 1110011 => [3,2,2] => 153
[6,7,4,1,8,5,3,2] => 0110111 => [1,2,1,3] => 262
[6,7,4,3,1,8,5,2] => 0111011 => [1,3,1,2] => 259
[2,7,4,1,6,8,5,3] => 0110011 => [1,2,2,2] => 363
[2,3,7,6,8,1,5,4] => 0010101 => [2,1,1,1,1,1] => 969
[7,4,2,6,8,5,1,3] => 1100110 => [2,2,2,1] => 357
[7,3,2,5,8,6,1,4] => 1100110 => [2,2,2,1] => 357
[3,1,7,6,8,2,5,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[3,7,6,8,1,2,5,4] => 0101001 => [1,1,1,1,2,1] => 1023
[1,3,7,6,8,2,5,4] => 0010101 => [2,1,1,1,1,1] => 969
[1,7,4,2,6,8,5,3] => 0110011 => [1,2,2,2] => 363
[7,4,1,2,6,8,5,3] => 1100011 => [2,3,2] => 153
[7,1,4,2,8,5,6,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,1,8,2,5,4,6,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,3,8,4,6,1,5,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,2,8,1,6,4,5,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,1,6,8,5,4,2,3] => 1001110 => [1,2,3,1] => 262
[7,1,2,6,8,5,4,3] => 1000111 => [1,3,3] => 110
[1,7,2,6,8,5,4,3] => 0100111 => [1,1,2,3] => 265
[1,7,6,8,3,2,5,4] => 0101101 => [1,1,1,2,1,1] => 1006
[7,6,8,3,1,2,5,4] => 1011001 => [1,1,2,2,1] => 611
[7,1,5,8,6,3,2,4] => 1001110 => [1,2,3,1] => 262
[7,2,5,8,6,3,1,4] => 1001110 => [1,2,3,1] => 262
[3,6,7,1,8,5,4,2] => 0010111 => [2,1,1,3] => 262
[7,2,6,8,5,4,1,3] => 1001110 => [1,2,3,1] => 262
[7,6,8,2,3,1,5,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[2,7,6,8,3,1,5,4] => 0101101 => [1,1,1,2,1,1] => 1006
[2,7,1,6,8,5,4,3] => 0100111 => [1,1,2,3] => 265
[6,7,3,1,8,5,4,2] => 0110111 => [1,2,1,3] => 262
[6,7,1,8,5,4,3,2] => 0101111 => [1,1,1,4] => 148
[7,2,1,6,8,5,4,3] => 1100111 => [2,2,3] => 153
[7,6,8,3,2,1,5,4] => 1011101 => [1,1,3,1,1] => 439
[4,7,8,5,6,1,3,2] => 0010101 => [2,1,1,1,1,1] => 969
[4,6,5,8,7,1,3,2] => 0101101 => [1,1,1,2,1,1] => 1006
[5,6,4,8,1,2,7,3] => 0101001 => [1,1,1,1,2,1] => 1023
[8,1,5,6,7,2,4,3] => 1000101 => [1,3,1,1,1] => 427
[6,4,5,1,8,2,7,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,4,6,7,1,2,8,3] => 1001001 => [1,2,1,2,1] => 603
[4,3,6,7,2,1,5,8] => 1001100 => [1,2,2,2] => 363
[5,3,6,7,1,4,2,8] => 1001010 => [1,2,1,1,1,1] => 969
[8,1,4,6,7,3,2,5] => 1000110 => [1,3,2,1] => 259
[8,1,3,6,7,4,5,2] => 1000101 => [1,3,1,1,1] => 427
[7,2,1,6,8,4,5,3] => 1100101 => [2,2,1,1,1] => 582
[5,2,6,7,1,4,8,3] => 1001001 => [1,2,1,2,1] => 603
[4,2,6,7,3,1,8,5] => 1001101 => [1,2,2,1,1] => 594
[6,2,4,1,5,8,7,3] => 1010011 => [1,1,1,2,2] => 622
[7,2,1,5,4,8,6,3] => 1101011 => [2,1,1,1,2] => 603
[8,1,4,5,3,7,2,6] => 1001010 => [1,2,1,1,1,1] => 969
[7,3,1,5,4,8,2,6] => 1101010 => [2,1,1,1,1,1] => 969
[6,3,4,1,5,8,2,7] => 1010010 => [1,1,1,2,1,1] => 1006
[5,3,4,2,1,8,6,7] => 1011010 => [1,1,2,1,1,1] => 984
[4,3,5,2,7,1,6,8] => 1010100 => [1,1,1,1,1,2] => 1023
[5,6,3,8,1,4,2,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[8,1,7,2,4,5,6,3] => 1010001 => [1,1,1,3,1] => 450
[7,6,1,2,4,5,8,3] => 1100001 => [2,4,1] => 85
[4,7,8,2,3,1,6,5] => 0010101 => [2,1,1,1,1,1] => 969
[5,6,2,8,1,4,7,3] => 0101001 => [1,1,1,1,2,1] => 1023
[6,5,2,1,3,7,8,4] => 1110001 => [3,3,1] => 110
[7,5,1,3,2,6,8,4] => 1101001 => [2,1,1,2,1] => 603
[8,1,6,3,2,5,7,4] => 1011001 => [1,1,2,2,1] => 611
[7,4,1,3,5,2,8,6] => 1100101 => [2,2,1,1,1] => 582
[5,4,2,3,1,6,8,7] => 1101001 => [2,1,1,2,1] => 603
[7,3,1,4,5,6,2,8] => 1100010 => [2,3,1,1] => 256
[8,1,4,3,5,6,2,7] => 1010010 => [1,1,1,2,1,1] => 1006
[6,2,3,1,5,7,8,4] => 1010001 => [1,1,1,3,1] => 450
[7,8,4,2,1,6,5,3] => 0111011 => [1,3,1,2] => 259
[7,8,4,2,1,5,6,3] => 0111001 => [1,3,2,1] => 259
[6,2,3,4,8,7,1,5] => 1000110 => [1,3,2,1] => 259
[6,2,3,4,7,8,1,5] => 1000010 => [1,4,1,1] => 145
[7,8,3,4,6,2,1,5] => 0100110 => [1,1,2,2,1] => 611
[7,8,3,6,4,2,1,5] => 0101110 => [1,1,1,3,1] => 450
[7,8,3,5,6,2,1,4] => 0100110 => [1,1,2,2,1] => 611
[6,2,3,8,7,5,1,4] => 1001110 => [1,2,3,1] => 262
[6,2,3,7,8,5,1,4] => 1000110 => [1,3,2,1] => 259
[5,2,6,3,8,1,7,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,3,2,5,8,7,1,4] => 1100110 => [2,2,2,1] => 357
[6,3,2,8,4,7,1,5] => 1101010 => [2,1,1,1,1,1] => 969
[6,4,3,8,7,5,1,2] => 1101110 => [2,1,3,1] => 262
[6,4,3,7,8,5,1,2] => 1100110 => [2,2,2,1] => 357
[6,2,4,1,7,3,5,8] => 1010100 => [1,1,1,1,1,2] => 1023
[6,3,2,7,4,8,1,5] => 1101010 => [2,1,1,1,1,1] => 969
[6,3,2,5,7,8,1,4] => 1100010 => [2,3,1,1] => 256
[5,7,2,3,6,1,8,4] => 0100101 => [1,1,2,1,1,1] => 984
[5,8,2,3,6,1,7,4] => 0100101 => [1,1,2,1,1,1] => 984
[4,7,5,8,3,2,1,6] => 0101110 => [1,1,1,3,1] => 450
[4,5,6,8,3,2,1,7] => 0001110 => [3,3,1] => 110
[4,6,8,5,3,2,1,7] => 0011110 => [2,4,1] => 85
[5,6,1,4,2,3,7,8] => 0101000 => [1,1,1,1,3] => 450
[5,6,8,4,3,7,1,2] => 0011010 => [2,2,1,1,1] => 582
[5,6,1,4,2,3,8,7] => 0101001 => [1,1,1,1,2,1] => 1023
[5,2,8,3,4,1,7,6] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,5,8,6,3,2,1,7] => 0011110 => [2,4,1] => 85
[4,6,5,8,3,2,1,7] => 0101110 => [1,1,1,3,1] => 450
[4,7,5,6,3,2,1,8] => 0101110 => [1,1,1,3,1] => 450
[6,2,3,4,5,8,1,7] => 1000010 => [1,4,1,1] => 145
[5,1,4,3,6,2,8,7] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,1,4,3,7,2,8,6] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,1,4,3,8,2,7,6] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,6,2,4,1,7,8,3] => 0101001 => [1,1,1,1,2,1] => 1023
[5,6,2,4,1,8,7,3] => 0101011 => [1,1,1,1,1,2] => 1023
[5,7,2,4,1,8,6,3] => 0101011 => [1,1,1,1,1,2] => 1023
[6,1,4,2,8,7,5,3] => 1010111 => [1,1,1,1,3] => 450
[6,1,4,2,7,8,5,3] => 1010011 => [1,1,1,2,2] => 622
[5,8,2,4,1,7,6,3] => 0101011 => [1,1,1,1,1,2] => 1023
[5,2,7,4,1,6,8,3] => 1011001 => [1,1,2,2,1] => 611
[5,4,1,3,7,2,6,8] => 1100100 => [2,2,1,2] => 357
[5,1,4,3,6,2,7,8] => 1010100 => [1,1,1,1,1,2] => 1023
[5,8,6,4,3,7,1,2] => 0111010 => [1,3,1,1,1] => 427
[5,8,1,4,2,3,7,6] => 0101001 => [1,1,1,1,2,1] => 1023
[5,1,6,3,4,2,7,8] => 1010100 => [1,1,1,1,1,2] => 1023
[4,8,6,5,3,2,1,7] => 0111110 => [1,5,1] => 37
[4,8,5,6,3,2,1,7] => 0101110 => [1,1,1,3,1] => 450
[5,4,7,8,3,2,1,6] => 1001110 => [1,2,3,1] => 262
[5,4,8,7,3,2,1,6] => 1011110 => [1,1,4,1] => 148
[4,6,8,7,3,2,1,5] => 0011110 => [2,4,1] => 85
[4,6,7,8,3,2,1,5] => 0001110 => [3,3,1] => 110
[4,7,6,8,3,2,1,5] => 0101110 => [1,1,1,3,1] => 450
[4,7,8,5,3,2,1,6] => 0011110 => [2,4,1] => 85
[5,7,1,3,4,2,6,8] => 0100100 => [1,1,2,1,2] => 611
[5,1,8,4,2,3,6,7] => 1011000 => [1,1,2,3] => 265
[5,1,7,4,2,3,6,8] => 1011000 => [1,1,2,3] => 265
[5,8,1,3,4,2,6,7] => 0100100 => [1,1,2,1,2] => 611
[4,8,7,5,3,2,1,6] => 0111110 => [1,5,1] => 37
[4,7,8,6,3,2,1,5] => 0011110 => [2,4,1] => 85
[4,8,7,6,3,2,1,5] => 0111110 => [1,5,1] => 37
[4,8,2,6,3,7,5,1] => 0101011 => [1,1,1,1,1,2] => 1023
[4,8,2,3,6,7,5,1] => 0100011 => [1,1,3,2] => 265
[4,8,3,1,6,7,5,2] => 0110011 => [1,2,2,2] => 363
[4,3,8,1,6,2,5,7] => 1010100 => [1,1,1,1,1,2] => 1023
[1,4,8,7,3,5,2,6] => 0011010 => [2,2,1,1,1] => 582
[4,3,8,7,2,5,1,6] => 1011010 => [1,1,2,1,1,1] => 984
[5,8,4,3,7,1,6,2] => 0110101 => [1,2,1,1,1,1] => 969
[5,8,1,4,7,2,6,3] => 0100101 => [1,1,2,1,1,1] => 984
[5,8,1,7,4,2,3,6] => 0101100 => [1,1,1,2,2] => 622
[6,8,1,2,4,3,5,7] => 0100100 => [1,1,2,1,2] => 611
[5,8,7,1,3,4,2,6] => 0110010 => [1,2,2,1,1] => 594
[4,8,7,6,3,1,2,5] => 0111100 => [1,4,2] => 85
[5,8,4,7,3,1,2,6] => 0101100 => [1,1,1,2,2] => 622
[4,3,8,2,7,5,6,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[1,4,8,3,7,5,6,2] => 0010101 => [2,1,1,1,1,1] => 969
[1,4,3,8,2,6,5,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,3,2,8,1,6,5,7] => 1101010 => [2,1,1,1,1,1] => 969
[4,1,3,8,2,6,5,7] => 1001010 => [1,2,1,1,1,1] => 969
[4,1,8,3,7,5,6,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,1,8,7,3,5,2,6] => 1011010 => [1,1,2,1,1,1] => 984
[3,7,8,1,5,4,2,6] => 0010110 => [2,1,1,2,1] => 603
[7,3,8,1,5,4,6,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[3,4,8,1,6,2,5,7] => 0010100 => [2,1,1,1,2] => 603
[3,4,8,7,2,5,1,6] => 0011010 => [2,2,1,1,1] => 582
[3,4,8,2,7,5,6,1] => 0010101 => [2,1,1,1,1,1] => 969
[1,2,4,8,3,6,5,7] => 0001010 => [3,1,1,1,1] => 427
[1,2,4,3,8,6,5,7] => 0010110 => [2,1,1,2,1] => 603
[3,4,2,1,8,6,5,7] => 0110110 => [1,2,1,2,1] => 603
[3,4,1,8,2,6,5,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,6,7,8,4,1,2,5] => 0001100 => [3,2,2] => 153
[4,1,7,8,5,3,2,6] => 1001110 => [1,2,3,1] => 262
[4,1,2,8,3,6,5,7] => 1001010 => [1,2,1,1,1,1] => 969
[1,4,3,2,8,6,5,7] => 0110110 => [1,2,1,2,1] => 603
[4,2,3,1,8,6,5,7] => 1010110 => [1,1,1,1,2,1] => 1023
[3,7,6,8,4,2,1,5] => 0101110 => [1,1,1,3,1] => 450
[4,7,1,8,5,2,3,6] => 0101100 => [1,1,1,2,2] => 622
[2,6,8,7,4,3,1,5] => 0011110 => [2,4,1] => 85
[3,7,8,6,2,4,1,5] => 0011010 => [2,2,1,1,1] => 582
[3,7,8,2,6,4,5,1] => 0010101 => [2,1,1,1,1,1] => 969
[4,2,3,8,1,6,5,7] => 1001010 => [1,2,1,1,1,1] => 969
[4,3,1,8,2,6,5,7] => 1101010 => [2,1,1,1,1,1] => 969
[1,4,7,8,5,3,2,6] => 0001110 => [3,3,1] => 110
[4,3,7,8,5,2,1,6] => 1001110 => [1,2,3,1] => 262
[3,7,2,8,4,6,5,1] => 0101011 => [1,1,1,1,1,2] => 1023
[4,2,8,6,3,1,5,7] => 1011100 => [1,1,3,2] => 265
[2,6,8,4,7,3,1,5] => 0010110 => [2,1,1,2,1] => 603
[2,4,8,6,3,1,5,7] => 0011100 => [2,3,2] => 153
[7,3,6,8,4,2,1,5] => 1001110 => [1,2,3,1] => 262
[7,6,2,8,3,5,4,1] => 1101011 => [2,1,1,1,2] => 603
[1,7,3,8,4,6,5,2] => 0101011 => [1,1,1,1,1,2] => 1023
[1,3,4,8,2,6,5,7] => 0001010 => [3,1,1,1,1] => 427
[3,2,4,8,1,6,5,7] => 1001010 => [1,2,1,1,1,1] => 969
[7,3,8,6,2,4,1,5] => 1011010 => [1,1,2,1,1,1] => 984
[7,3,8,2,6,4,5,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[2,4,8,3,6,1,5,7] => 0010100 => [2,1,1,1,2] => 603
[6,2,8,7,4,3,5,1] => 1011101 => [1,1,3,1,1] => 439
[7,4,1,8,5,2,6,3] => 1101101 => [2,1,2,1,1] => 594
[7,3,2,8,4,6,5,1] => 1101011 => [2,1,1,1,2] => 603
[2,4,3,1,8,6,5,7] => 0110110 => [1,2,1,2,1] => 603
[1,3,4,2,8,6,5,7] => 0010110 => [2,1,1,2,1] => 603
[1,3,2,4,8,6,5,7] => 0100110 => [1,1,2,2,1] => 611
[3,2,1,4,8,6,5,7] => 1100110 => [2,2,2,1] => 357
[3,1,2,4,8,6,5,7] => 1000110 => [1,3,2,1] => 259
[3,1,4,2,8,6,5,7] => 1010110 => [1,1,1,1,2,1] => 1023
[3,1,4,8,2,6,5,7] => 1001010 => [1,2,1,1,1,1] => 969
[7,3,4,8,5,1,6,2] => 1001101 => [1,2,2,1,1] => 594
[3,7,4,8,5,1,2,6] => 0101100 => [1,1,1,2,2] => 622
[6,7,2,8,3,5,4,1] => 0101011 => [1,1,1,1,1,2] => 1023
[2,3,1,4,8,6,5,7] => 0100110 => [1,1,2,2,1] => 611
[2,1,3,4,8,6,5,7] => 1000110 => [1,3,2,1] => 259
[1,2,3,4,8,6,5,7] => 0000110 => [4,2,1] => 85
[4,8,3,6,2,1,5,7] => 0101100 => [1,1,1,2,2] => 622
[3,5,8,2,6,1,4,7] => 0010100 => [2,1,1,1,2] => 603
[3,6,5,8,2,4,1,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,3,8,7,2,4,6,1] => 1011001 => [1,1,2,2,1] => 611
[2,8,4,5,7,3,6,1] => 0100101 => [1,1,2,1,1,1] => 984
[2,4,5,7,3,8,1,6] => 0001010 => [3,1,1,1,1] => 427
[6,2,4,5,8,3,1,7] => 1000110 => [1,3,2,1] => 259
[4,8,1,2,5,6,3,7] => 0100010 => [1,1,3,1,1] => 439
[8,1,3,5,2,6,4,7] => 1001010 => [1,2,1,1,1,1] => 969
[5,2,1,6,3,8,4,7] => 1101010 => [2,1,1,1,1,1] => 969
[6,2,5,1,8,4,3,7] => 1010110 => [1,1,1,1,2,1] => 1023
[3,6,1,5,8,4,2,7] => 0100110 => [1,1,2,2,1] => 611
[6,1,4,5,8,3,2,7] => 1000110 => [1,3,2,1] => 259
[5,6,4,8,1,3,2,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[6,5,4,3,8,2,1,7] => 1110110 => [3,1,2,1] => 259
[5,4,3,7,2,8,1,6] => 1101010 => [2,1,1,1,1,1] => 969
[5,8,4,3,7,2,6,1] => 0110101 => [1,2,1,1,1,1] => 969
[4,6,8,3,7,2,5,1] => 0010101 => [2,1,1,1,1,1] => 969
[7,4,6,3,2,8,1,5] => 1011010 => [1,1,2,1,1,1] => 984
[1,4,3,6,2,7,8,5] => 0101001 => [1,1,1,1,2,1] => 1023
[1,5,4,3,7,2,8,6] => 0110101 => [1,2,1,1,1,1] => 969
[4,7,8,5,3,1,2,6] => 0011100 => [2,3,2] => 153
[5,7,3,4,1,2,8,6] => 0101001 => [1,1,1,1,2,1] => 1023
[8,5,4,7,6,2,1,3] => 1101110 => [2,1,3,1] => 262
[8,5,7,4,3,6,1,2] => 1011010 => [1,1,2,1,1,1] => 984
[4,3,8,1,6,7,5,2] => 1010011 => [1,1,1,2,2] => 622
[4,7,8,3,6,1,5,2] => 0010101 => [2,1,1,1,1,1] => 969
[5,3,8,6,7,4,1,2] => 1010110 => [1,1,1,1,2,1] => 1023
[1,3,8,6,4,7,5,2] => 0011011 => [2,2,1,2] => 357
[8,6,2,7,4,1,5,3] => 1101101 => [2,1,2,1,1] => 594
[7,6,2,1,4,3,8,5] => 1110101 => [3,1,1,1,1] => 427
[7,6,1,3,4,2,8,5] => 1100101 => [2,2,1,1,1] => 582
[1,5,7,3,2,6,8,4] => 0011001 => [2,2,2,1] => 357
[1,6,7,3,2,5,8,4] => 0011001 => [2,2,2,1] => 357
[3,2,6,8,5,7,4,1] => 1001011 => [1,2,1,1,2] => 603
[5,8,2,3,6,7,4,1] => 0100011 => [1,1,3,2] => 265
[7,5,2,3,1,6,8,4] => 1101001 => [2,1,1,2,1] => 603
[1,6,4,7,2,3,8,5] => 0101001 => [1,1,1,1,2,1] => 1023
[3,1,7,5,2,8,4,6] => 1011010 => [1,1,2,1,1,1] => 984
[2,5,7,4,1,8,3,6] => 0011010 => [2,2,1,1,1] => 582
[4,2,6,1,7,8,3,5] => 1010010 => [1,1,1,2,1,1] => 1006
[4,2,7,6,3,8,1,5] => 1011010 => [1,1,2,1,1,1] => 984
[6,4,8,7,2,3,5,1] => 1011001 => [1,1,2,2,1] => 611
[3,2,6,8,7,4,5,1] => 1001101 => [1,2,2,1,1] => 594
[3,2,7,4,1,6,8,5] => 1011001 => [1,1,2,2,1] => 611
[6,3,2,1,7,8,4,5] => 1110010 => [3,2,1,1] => 256
[3,7,1,8,4,2,5,6] => 0101100 => [1,1,1,2,2] => 622
[4,2,1,3,7,5,8,6] => 1100101 => [2,2,1,1,1] => 582
[8,1,3,7,4,2,6,5] => 1001101 => [1,2,2,1,1] => 594
[8,4,3,7,6,2,1,5] => 1101110 => [2,1,3,1] => 262
[8,3,5,2,7,6,1,4] => 1010110 => [1,1,1,1,2,1] => 1023
[3,6,2,8,7,1,5,4] => 0101101 => [1,1,1,2,1,1] => 1006
[7,3,2,8,1,6,5,4] => 1101011 => [2,1,1,1,2] => 603
[3,8,7,2,6,5,4,1] => 0110111 => [1,2,1,3] => 262
[4,2,7,8,6,1,5,3] => 1001101 => [1,2,2,1,1] => 594
[6,8,2,4,7,1,5,3] => 0100101 => [1,1,2,1,1,1] => 984
[5,2,1,8,7,3,6,4] => 1101101 => [2,1,2,1,1] => 594
[8,2,1,6,3,7,5,4] => 1101011 => [2,1,1,1,2] => 603
[6,8,3,1,7,5,2,4] => 0110110 => [1,2,1,2,1] => 603
[5,8,1,6,7,2,4,3] => 0100101 => [1,1,2,1,1,1] => 984
[6,2,8,1,5,7,4,3] => 1010011 => [1,1,1,2,2] => 622
[5,7,8,2,6,1,4,3] => 0010101 => [2,1,1,1,1,1] => 969
[8,7,2,5,6,4,3,1] => 1100111 => [2,2,3] => 153
[8,6,7,5,2,4,3,1] => 1011011 => [1,1,2,1,2] => 611
[7,2,6,8,1,5,4,3] => 1001011 => [1,2,1,1,2] => 603
[1,2,7,8,5,6,4,3] => 0001011 => [3,1,1,2] => 259
[7,4,8,1,6,2,5,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[3,7,1,8,2,6,5,4] => 0101011 => [1,1,1,1,1,2] => 1023
[2,1,7,3,8,6,5,4] => 1010111 => [1,1,1,1,3] => 450
[8,2,1,7,6,5,4,3] => 1101111 => [2,1,4] => 85
[8,1,4,7,6,5,3,2] => 1001111 => [1,2,4] => 85
[8,6,7,5,1,4,3,2] => 1011011 => [1,1,2,1,2] => 611
[7,8,6,5,4,1,3,2] => 0111101 => [1,4,1,1] => 145
[5,8,4,3,2,1,6,7] => 0111100 => [1,4,2] => 85
[6,4,7,3,2,1,8,5] => 1011101 => [1,1,3,1,1] => 439
[5,4,7,3,2,1,6,8] => 1011100 => [1,1,3,2] => 265
[6,5,3,7,2,1,4,8] => 1101100 => [2,1,2,2] => 363
[5,8,3,6,2,1,4,7] => 0101100 => [1,1,1,2,2] => 622
[6,3,7,8,2,1,4,5] => 1001100 => [1,2,2,2] => 363
[5,3,7,6,2,1,4,8] => 1011100 => [1,1,3,2] => 265
[3,8,7,6,2,1,4,5] => 0111100 => [1,4,2] => 85
[5,8,4,2,6,1,3,7] => 0110100 => [1,2,1,1,2] => 603
[4,8,7,2,5,1,3,6] => 0110100 => [1,2,1,1,2] => 603
[5,8,3,2,6,1,4,7] => 0110100 => [1,2,1,1,2] => 603
[4,8,3,2,5,1,7,6] => 0110101 => [1,2,1,1,1,1] => 969
[4,3,7,2,5,1,8,6] => 1010101 => [1,1,1,1,1,1,1] => 1623
[3,8,7,2,5,1,4,6] => 0110100 => [1,2,1,1,2] => 603
[6,4,2,7,5,1,3,8] => 1101100 => [2,1,2,2] => 363
[6,3,2,7,5,1,4,8] => 1101100 => [2,1,2,2] => 363
[5,3,2,6,7,1,4,8] => 1100100 => [2,2,1,2] => 357
[3,8,2,6,5,1,4,7] => 0101100 => [1,1,1,2,2] => 622
[6,2,7,8,5,1,3,4] => 1001100 => [1,2,2,2] => 363
[5,2,7,6,8,1,3,4] => 1010100 => [1,1,1,1,1,2] => 1023
[4,2,7,6,5,1,3,8] => 1011100 => [1,1,3,2] => 265
[2,8,7,6,5,1,3,4] => 0111100 => [1,4,2] => 85
[6,5,4,3,1,7,8,2] => 1111001 => [4,2,1] => 85
[6,4,7,3,1,5,8,2] => 1011001 => [1,1,2,2,1] => 611
[5,4,7,3,1,8,6,2] => 1011011 => [1,1,2,1,2] => 611
[6,4,3,7,1,5,8,2] => 1101001 => [2,1,1,2,1] => 603
[5,4,3,6,1,8,7,2] => 1101011 => [2,1,1,1,2] => 603
[6,3,7,8,1,4,5,2] => 1001001 => [1,2,1,2,1] => 603
[5,3,7,6,1,4,8,2] => 1011001 => [1,1,2,2,1] => 611
[4,3,7,6,1,5,8,2] => 1011001 => [1,1,2,2,1] => 611
[3,8,7,6,1,4,5,2] => 0111001 => [1,3,2,1] => 259
[6,5,4,2,1,7,3,8] => 1111010 => [4,1,1,1] => 145
[6,4,7,2,1,5,3,8] => 1011010 => [1,1,2,1,1,1] => 984
[4,8,7,2,1,5,3,6] => 0111010 => [1,3,1,1,1] => 427
[5,8,3,2,1,4,7,6] => 0111001 => [1,3,2,1] => 259
[4,8,3,2,1,5,7,6] => 0111001 => [1,3,2,1] => 259
[5,3,7,2,1,4,8,6] => 1011001 => [1,1,2,2,1] => 611
[3,8,7,2,1,4,5,6] => 0111000 => [1,3,3] => 110
[6,5,2,7,1,4,3,8] => 1101010 => [2,1,1,1,1,1] => 969
[5,8,2,6,1,4,3,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[6,4,2,7,1,5,3,8] => 1101010 => [2,1,1,1,1,1] => 969
[5,4,2,6,1,8,3,7] => 1101010 => [2,1,1,1,1,1] => 969
[4,3,2,6,1,5,8,7] => 1101001 => [2,1,1,2,1] => 603
[6,2,7,8,1,4,3,5] => 1001010 => [1,2,1,1,1,1] => 969
[4,2,7,6,1,5,3,8] => 1011010 => [1,1,2,1,1,1] => 984
[3,2,7,6,1,4,5,8] => 1011000 => [1,1,2,3] => 265
[6,5,4,1,8,7,3,2] => 1110111 => [3,1,3] => 110
[5,8,4,1,6,7,3,2] => 0110011 => [1,2,2,2] => 363
[6,4,7,1,5,8,3,2] => 1010011 => [1,1,1,2,2] => 622
[5,4,7,1,6,8,3,2] => 1010011 => [1,1,1,2,2] => 622
[4,8,7,1,5,6,3,2] => 0110011 => [1,2,2,2] => 363
[5,4,3,1,6,8,7,2] => 1110011 => [3,2,2] => 153
[4,8,3,1,5,6,7,2] => 0110001 => [1,2,3,1] => 262
[3,8,7,1,5,4,6,2] => 0110101 => [1,2,1,1,1,1] => 969
[5,8,2,1,6,4,3,7] => 0110110 => [1,2,1,2,1] => 603
[6,3,2,1,5,4,8,7] => 1110101 => [3,1,1,1,1] => 427
[5,3,2,1,6,4,8,7] => 1110101 => [3,1,1,1,1] => 427
[3,8,2,1,5,4,6,7] => 0110100 => [1,2,1,1,2] => 603
[6,2,7,1,5,4,3,8] => 1010110 => [1,1,1,1,2,1] => 1023
[5,2,7,1,6,4,3,8] => 1010110 => [1,1,1,1,2,1] => 1023
[4,2,7,1,5,6,3,8] => 1010010 => [1,1,1,2,1,1] => 1006
[3,2,7,1,5,4,6,8] => 1010100 => [1,1,1,1,1,2] => 1023
[2,8,7,1,5,4,3,6] => 0110110 => [1,2,1,2,1] => 603
[6,5,1,7,8,4,3,2] => 1100111 => [2,2,3] => 153
[5,8,1,6,7,4,3,2] => 0100111 => [1,1,2,3] => 265
[6,4,1,7,5,8,3,2] => 1101011 => [2,1,1,1,2] => 603
[5,4,1,6,7,8,3,2] => 1100011 => [2,3,2] => 153
[4,8,1,6,5,7,3,2] => 0101011 => [1,1,1,1,1,2] => 1023
[6,3,1,7,5,4,8,2] => 1101101 => [2,1,2,1,1] => 594
[5,3,1,6,7,4,8,2] => 1100101 => [2,2,1,1,1] => 582
[4,3,1,6,5,7,8,2] => 1101001 => [2,1,1,2,1] => 603
[3,8,1,6,5,4,7,2] => 0101101 => [1,1,1,2,1,1] => 1006
[5,2,1,6,7,4,3,8] => 1100110 => [2,2,2,1] => 357
[4,2,1,6,5,7,3,8] => 1101010 => [2,1,1,1,1,1] => 969
[2,8,1,6,5,4,3,7] => 0101110 => [1,1,1,3,1] => 450
[6,1,7,8,5,4,3,2] => 1001111 => [1,2,4] => 85
[4,1,7,6,5,8,3,2] => 1011011 => [1,1,2,1,2] => 611
[3,1,7,6,5,4,8,2] => 1011101 => [1,1,3,1,1] => 439
[4,5,8,1,2,6,3,7] => 0010010 => [2,1,2,1,1] => 594
[1,4,5,7,2,6,3,8] => 0001010 => [3,1,1,1,1] => 427
[1,7,3,5,6,2,4,8] => 0100100 => [1,1,2,1,2] => 611
[8,1,3,5,7,2,4,6] => 1000100 => [1,3,1,2] => 259
[3,6,8,1,7,2,4,5] => 0010100 => [2,1,1,1,2] => 603
[3,4,5,6,8,1,7,2] => 0000101 => [4,1,1,1] => 145
[4,5,8,2,6,7,1,3] => 0010010 => [2,1,2,1,1] => 594
[8,2,3,5,6,7,1,4] => 1000010 => [1,4,1,1] => 145
[1,7,2,3,5,4,6,8] => 0100100 => [1,1,2,1,2] => 611
[8,1,2,3,5,4,6,7] => 1000100 => [1,3,1,2] => 259
[2,7,8,1,3,5,4,6] => 0010010 => [2,1,2,1,1] => 594
[2,7,8,3,5,6,1,4] => 0010010 => [2,1,2,1,1] => 594
[2,4,5,7,8,1,6,3] => 0000101 => [4,1,1,1] => 145
[4,5,8,1,7,6,3,2] => 0010111 => [2,1,1,3] => 262
[4,5,8,7,2,1,6,3] => 0011101 => [2,3,1,1] => 256
[8,7,3,5,6,2,1,4] => 1100110 => [2,2,2,1] => 357
[8,7,2,1,3,5,4,6] => 1110010 => [3,2,1,1] => 256
[3,6,8,7,2,1,5,4] => 0011101 => [2,3,1,1] => 256
[8,6,4,1,7,5,3,2] => 1110111 => [3,1,3] => 110
[7,6,4,3,1,8,5,2] => 1111011 => [4,1,2] => 85
[2,3,6,7,8,1,5,4] => 0000101 => [4,1,1,1] => 145
[3,6,8,1,2,5,4,7] => 0010010 => [2,1,2,1,1] => 594
[1,3,6,7,2,5,4,8] => 0001010 => [3,1,1,1,1] => 427
[7,4,1,8,5,2,3,6] => 1101100 => [2,1,2,2] => 363
[7,1,4,2,8,3,6,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,1,8,2,5,3,6,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,1,7,5,4,2,3,6] => 1011100 => [1,1,3,2] => 265
[1,7,2,6,5,4,3,8] => 0101110 => [1,1,1,3,1] => 450
[1,7,6,3,2,5,4,8] => 0111010 => [1,3,1,1,1] => 427
[8,6,3,1,2,5,4,7] => 1110010 => [3,2,1,1] => 256
[8,1,7,6,3,2,4,5] => 1011100 => [1,1,3,2] => 265
[8,2,5,7,6,3,1,4] => 1001110 => [1,2,3,1] => 262
[3,6,8,1,7,5,4,2] => 0010111 => [2,1,1,3] => 262
[8,2,6,7,5,4,1,3] => 1001110 => [1,2,3,1] => 262
[2,7,8,6,3,1,5,4] => 0011101 => [2,3,1,1] => 256
[2,7,8,1,6,5,4,3] => 0010111 => [2,1,1,3] => 262
[7,3,1,8,6,5,4,2] => 1101111 => [2,1,4] => 85
[8,7,2,1,6,5,4,3] => 1110111 => [3,1,3] => 110
[8,7,6,3,2,1,5,4] => 1111101 => [5,1,1] => 37
[2,1,8,6,3,7,4,5] => 1011010 => [1,1,2,1,1,1] => 984
[8,6,1,5,2,7,4,3] => 1101011 => [2,1,1,1,2] => 603
[8,5,1,7,4,2,6,3] => 1101101 => [2,1,2,1,1] => 594
[2,1,7,5,4,3,8,6] => 1011101 => [1,1,3,1,1] => 439
[2,1,7,8,3,6,5,4] => 1001011 => [1,2,1,1,2] => 603
[2,1,4,8,5,7,3,6] => 1001010 => [1,2,1,1,1,1] => 969
[8,5,3,1,6,2,4,7] => 1110100 => [3,1,1,2] => 259
[6,4,1,5,2,3,8,7] => 1101001 => [2,1,1,2,1] => 603
[8,3,7,5,2,6,1,4] => 1011010 => [1,1,2,1,1,1] => 984
[5,3,7,4,6,8,1,2] => 1010010 => [1,1,1,2,1,1] => 1006
[5,8,3,7,6,2,1,4] => 0101110 => [1,1,1,3,1] => 450
[4,2,6,3,8,5,1,7] => 1010110 => [1,1,1,1,2,1] => 1023
[5,8,2,1,7,6,4,3] => 0110111 => [1,2,1,3] => 262
[8,3,2,4,1,7,5,6] => 1101010 => [2,1,1,1,1,1] => 969
[7,8,3,1,5,4,6,2] => 0110101 => [1,2,1,1,1,1] => 969
[7,2,8,1,4,6,5,3] => 1010011 => [1,1,1,2,2] => 622
[6,2,3,1,4,5,8,7] => 1010001 => [1,1,1,3,1] => 450
[6,8,1,4,5,3,2,7] => 0100110 => [1,1,2,2,1] => 611
[8,2,6,1,4,7,3,5] => 1010010 => [1,1,1,2,1,1] => 1006
[8,3,5,6,1,7,4,2] => 1001011 => [1,2,1,1,2] => 603
[6,3,5,4,1,2,8,7] => 1011001 => [1,1,2,2,1] => 611
[8,7,3,6,5,1,4,2] => 1101101 => [2,1,2,1,1] => 594
[2,7,4,3,6,1,8,5] => 0110101 => [1,2,1,1,1,1] => 969
[3,4,7,2,8,1,5,6] => 0010100 => [2,1,1,1,2] => 603
[4,2,3,5,8,1,6,7] => 1000100 => [1,3,1,2] => 259
[3,8,4,7,1,6,5,2] => 0101011 => [1,1,1,1,1,2] => 1023
[3,2,4,6,1,5,8,7] => 1001001 => [1,2,1,2,1] => 603
[8,3,4,5,7,6,1,2] => 1000110 => [1,3,2,1] => 259
[3,2,4,5,6,8,1,7] => 1000010 => [1,4,1,1] => 145
[5,6,8,1,4,2,7,3] => 0010101 => [2,1,1,1,1,1] => 969
[1,5,7,8,4,6,2,3] => 0001010 => [3,1,1,1,1] => 427
[1,3,5,7,8,6,2,4] => 0000110 => [4,2,1] => 85
[3,5,7,8,6,1,2,4] => 0001100 => [3,2,2] => 153
[3,5,1,6,8,2,7,4] => 0100101 => [1,1,2,1,1,1] => 984
[3,1,5,6,8,2,7,4] => 1000101 => [1,3,1,1,1] => 427
[2,3,5,6,8,1,7,4] => 0000101 => [4,1,1,1] => 145
[5,6,4,8,2,1,7,3] => 0101101 => [1,1,1,2,1,1] => 1006
[5,1,6,3,8,4,7,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[2,5,1,6,8,3,7,4] => 0100101 => [1,1,2,1,1,1] => 984
[5,1,2,6,8,3,7,4] => 1000101 => [1,3,1,1,1] => 427
[5,7,1,8,6,2,3,4] => 0101100 => [1,1,1,2,2] => 622
[1,5,2,7,8,6,3,4] => 0100110 => [1,1,2,2,1] => 611
[1,6,7,5,2,8,3,4] => 0011010 => [2,2,1,1,1] => 582
[6,1,7,5,2,8,3,4] => 1011010 => [1,1,2,1,1,1] => 984
[2,6,7,5,1,8,3,4] => 0011010 => [2,2,1,1,1] => 582
[5,7,2,8,6,1,3,4] => 0101100 => [1,1,1,2,2] => 622
[3,5,7,8,6,2,1,4] => 0001110 => [3,3,1] => 110
[5,1,7,8,6,3,4,2] => 1001101 => [1,2,2,1,1] => 594
[5,1,3,7,8,6,4,2] => 1000111 => [1,3,3] => 110
[5,2,7,8,4,6,1,3] => 1001010 => [1,2,1,1,1,1] => 969
[3,2,5,7,8,6,1,4] => 1000110 => [1,3,2,1] => 259
[6,2,7,5,1,8,3,4] => 1011010 => [1,1,2,1,1,1] => 984
[1,2,6,7,5,8,3,4] => 0001010 => [3,1,1,1,1] => 427
[6,2,7,5,4,1,8,3] => 1011101 => [1,1,3,1,1] => 439
[6,7,5,2,4,1,8,3] => 0110101 => [1,2,1,1,1,1] => 969
[6,7,2,5,3,8,1,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[6,7,4,5,2,1,8,3] => 0101101 => [1,1,1,2,1,1] => 1006
[5,1,7,8,6,4,3,2] => 1001111 => [1,2,4] => 85
[2,5,7,8,6,3,1,4] => 0001110 => [3,3,1] => 110
[5,1,7,8,6,3,2,4] => 1001110 => [1,2,3,1] => 262
[6,3,7,5,1,8,2,4] => 1011010 => [1,1,2,1,1,1] => 984
[1,6,7,5,3,8,2,4] => 0011010 => [2,2,1,1,1] => 582
[1,6,7,5,4,2,8,3] => 0011101 => [2,3,1,1] => 256
[6,7,5,1,4,2,8,3] => 0110101 => [1,2,1,1,1,1] => 969
[5,7,8,6,4,1,2,3] => 0011100 => [2,3,2] => 153
[4,1,7,2,6,5,8,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[2,4,7,1,5,6,8,3] => 0010001 => [2,1,3,1] => 262
[6,7,4,1,5,2,8,3] => 0110101 => [1,2,1,1,1,1] => 969
[1,6,7,4,5,2,8,3] => 0010101 => [2,1,1,1,1,1] => 969
[1,6,3,7,5,8,2,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[6,3,1,7,5,8,2,4] => 1101010 => [2,1,1,1,1,1] => 969
[2,5,3,7,8,6,1,4] => 0100110 => [1,1,2,2,1] => 611
[6,7,5,4,2,1,8,3] => 0111101 => [1,4,1,1] => 145
[6,3,2,7,5,8,1,4] => 1101010 => [2,1,1,1,1,1] => 969
[6,7,4,2,5,1,8,3] => 0110101 => [1,2,1,1,1,1] => 969
[6,2,7,4,5,1,8,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,2,3,7,5,8,1,4] => 1001010 => [1,2,1,1,1,1] => 969
[4,5,1,6,3,2,8,7] => 0101101 => [1,1,1,2,1,1] => 1006
[7,5,1,6,3,8,2,4] => 1101010 => [2,1,1,1,1,1] => 969
[7,5,1,6,3,8,4,2] => 1101011 => [2,1,1,1,2] => 603
[2,7,6,1,3,8,4,5] => 0110010 => [1,2,2,1,1] => 594
[2,7,6,1,3,8,5,4] => 0110011 => [1,2,2,2] => 363
[7,3,5,1,8,2,6,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,3,5,1,8,2,4,6] => 1010100 => [1,1,1,1,1,2] => 1023
[3,7,5,1,8,6,2,4] => 0110110 => [1,2,1,2,1] => 603
[2,6,7,1,5,8,3,4] => 0010010 => [2,1,2,1,1] => 594
[2,6,7,4,1,8,3,5] => 0011010 => [2,2,1,1,1] => 582
[2,1,6,7,3,8,5,4] => 1001011 => [1,2,1,1,2] => 603
[2,6,7,4,1,8,5,3] => 0011011 => [2,2,1,2] => 357
[2,6,7,1,5,8,4,3] => 0010011 => [2,1,2,2] => 363
[3,6,5,1,8,4,7,2] => 0110101 => [1,2,1,1,1,1] => 969
[3,6,5,1,8,4,2,7] => 0110110 => [1,2,1,2,1] => 603
[3,7,5,4,8,1,6,2] => 0110101 => [1,2,1,1,1,1] => 969
[3,7,5,4,8,1,2,6] => 0110100 => [1,2,1,1,2] => 603
[4,6,1,5,8,7,3,2] => 0100111 => [1,1,2,3] => 265
[4,6,1,5,8,7,2,3] => 0100110 => [1,1,2,2,1] => 611
[4,6,1,5,8,2,7,3] => 0100101 => [1,1,2,1,1,1] => 984
[7,5,1,6,2,8,3,4] => 1101010 => [2,1,1,1,1,1] => 969
[7,5,1,6,2,8,4,3] => 1101011 => [2,1,1,1,2] => 603
[4,6,1,5,8,2,3,7] => 0100100 => [1,1,2,1,2] => 611
[4,7,1,5,8,3,6,2] => 0100101 => [1,1,2,1,1,1] => 984
[2,3,4,7,8,1,6,5] => 0000101 => [4,1,1,1] => 145
[6,8,5,4,3,2,7,1] => 0111101 => [1,4,1,1] => 145
[7,9,6,5,4,3,2,8,1] => 01111101 => [1,5,1,1] => 240
[8,9,6,5,4,3,2,1,7] => 01111110 => [1,6,1] => 50
[6,8,5,4,3,7,2,1] => 0111011 => [1,3,1,2] => 259
[5,8,4,3,2,1,7,6] => 0111101 => [1,4,1,1] => 145
[6,5,4,3,1,8,7,2] => 1111011 => [4,1,2] => 85
[8,7,6,5,4,3,9,1,2] => 11111010 => [5,1,1,1] => 240
[8,7,5,4,3,1,6,2] => 1111101 => [5,1,1] => 37
[9,7,6,5,4,3,1,8,2] => 11111101 => [6,1,1] => 50
[8,3,4,6,2,1,5,7] => 1001100 => [1,2,2,2] => 363
[3,5,6,2,1,8,4,7] => 0011010 => [2,2,1,1,1] => 582
[3,5,2,6,8,4,1,7] => 0100110 => [1,1,2,2,1] => 611
[7,5,3,2,8,4,1,6] => 1110110 => [3,1,2,1] => 259
[7,5,3,2,8,4,6,1] => 1110101 => [3,1,1,1,1] => 427
[2,4,5,7,3,8,6,1] => 0001011 => [3,1,1,2] => 259
[4,2,5,6,8,3,1,7] => 1000110 => [1,3,2,1] => 259
[4,2,8,1,5,6,3,7] => 1010010 => [1,1,1,2,1,1] => 1006
[2,5,6,1,8,4,3,7] => 0010110 => [2,1,1,2,1] => 603
[5,3,6,8,1,4,2,7] => 1001010 => [1,2,1,1,1,1] => 969
[4,5,6,8,1,3,2,7] => 0001010 => [3,1,1,1,1] => 427
[1,4,5,6,8,3,2,7] => 0000110 => [4,2,1] => 85
[4,5,6,3,8,2,1,7] => 0010110 => [2,1,1,2,1] => 603
[4,5,3,7,2,8,6,1] => 0101011 => [1,1,1,1,1,2] => 1023
[6,4,7,3,2,8,5,1] => 1011011 => [1,1,2,1,2] => 611
[6,1,4,7,3,2,8,5] => 1001101 => [1,2,2,1,1] => 594
[1,7,8,4,5,3,2,6] => 0010110 => [2,1,1,2,1] => 603
[5,1,7,3,8,4,2,6] => 1010110 => [1,1,1,1,2,1] => 1023
[2,5,1,7,4,3,8,6] => 0101101 => [1,1,1,2,1,1] => 1006
[2,5,7,4,1,8,6,3] => 0011011 => [2,2,1,2] => 357
[5,3,7,1,4,8,6,2] => 1010011 => [1,1,1,2,2] => 622
[6,4,3,1,7,8,5,2] => 1110011 => [3,2,2] => 153
[6,4,1,7,3,8,5,2] => 1101011 => [2,1,1,1,2] => 603
[5,6,3,7,8,4,2,1] => 0100111 => [1,1,2,3] => 265
[5,1,6,3,7,8,4,2] => 1010011 => [1,1,1,2,2] => 622
[5,6,1,3,7,8,4,2] => 0100011 => [1,1,3,2] => 265
[5,6,1,7,8,3,4,2] => 0100101 => [1,1,2,1,1,1] => 984
[1,6,3,7,4,8,5,2] => 0101011 => [1,1,1,1,1,2] => 1023
[6,7,2,4,1,8,5,3] => 0101011 => [1,1,1,1,1,2] => 1023
[6,7,2,1,4,3,8,5] => 0110101 => [1,2,1,1,1,1] => 969
[6,4,7,3,1,2,8,5] => 1011001 => [1,1,2,2,1] => 611
[5,6,3,1,2,7,8,4] => 0110001 => [1,2,3,1] => 262
[5,6,1,3,2,7,8,4] => 0101001 => [1,1,1,1,2,1] => 1023
[5,6,3,2,1,7,8,4] => 0111001 => [1,3,2,1] => 259
[2,5,6,3,7,8,4,1] => 0010011 => [2,1,2,2] => 363
[2,5,6,3,1,7,8,4] => 0011001 => [2,2,2,1] => 357
[2,6,4,7,3,1,8,5] => 0101101 => [1,1,1,2,1,1] => 1006
[6,3,7,2,8,4,5,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,3,7,2,8,4,1,5] => 1010110 => [1,1,1,1,2,1] => 1023
[6,3,2,7,1,8,4,5] => 1101010 => [2,1,1,1,1,1] => 969
[7,5,3,2,1,8,4,6] => 1111010 => [4,1,1,1] => 145
[7,3,8,4,2,1,5,6] => 1011100 => [1,1,3,2] => 265
[4,7,2,1,3,8,6,5] => 0110011 => [1,2,2,2] => 363
[1,3,7,8,6,4,2,5] => 0001110 => [3,3,1] => 110
[7,3,8,4,6,2,1,5] => 1010110 => [1,1,1,1,2,1] => 1023
[5,7,3,8,2,1,6,4] => 0101101 => [1,1,1,2,1,1] => 1006
[6,3,7,8,5,2,1,4] => 1001110 => [1,2,3,1] => 262
[4,6,2,7,8,5,3,1] => 0100111 => [1,1,2,3] => 265
[4,6,2,1,7,8,5,3] => 0110011 => [1,2,2,2] => 363
[7,4,5,8,1,2,6,3] => 1001001 => [1,2,1,2,1] => 603
[2,5,1,7,3,8,6,4] => 0101011 => [1,1,1,1,1,2] => 1023
[6,7,2,1,3,8,5,4] => 0110011 => [1,2,2,2] => 363
[5,1,6,7,8,2,4,3] => 1000101 => [1,3,1,1,1] => 427
[6,3,7,1,8,5,2,4] => 1010110 => [1,1,1,1,2,1] => 1023
[6,2,1,7,3,8,5,4] => 1101011 => [2,1,1,1,2] => 603
[6,2,7,1,8,5,4,3] => 1010111 => [1,1,1,1,3] => 450
[6,3,1,7,8,5,4,2] => 1100111 => [2,2,3] => 153
[4,1,3,6,8,2,5,7] => 1000100 => [1,3,1,2] => 259
[4,2,3,6,8,1,5,7] => 1000100 => [1,3,1,2] => 259
[5,3,2,1,8,4,7,6] => 1110101 => [3,1,1,1,1] => 427
[3,6,5,8,2,1,7,4] => 0101101 => [1,1,1,2,1,1] => 1006
[4,5,2,1,3,8,7,6] => 0110011 => [1,2,2,2] => 363
[3,2,6,4,5,8,1,7] => 1010010 => [1,1,1,2,1,1] => 1006
[2,4,6,5,8,1,3,7] => 0010100 => [2,1,1,1,2] => 603
[1,6,2,4,5,8,3,7] => 0100010 => [1,1,3,1,1] => 439
[5,3,2,1,6,8,4,7] => 1110010 => [3,2,1,1] => 256
[6,2,4,5,8,1,3,7] => 1000100 => [1,3,1,2] => 259
[1,3,4,6,5,8,2,7] => 0001010 => [3,1,1,1,1] => 427
[1,6,3,4,5,8,2,7] => 0100010 => [1,1,3,1,1] => 439
[3,4,1,8,5,2,7,6] => 0101101 => [1,1,1,2,1,1] => 1006
[2,8,4,1,7,6,3,5] => 0110110 => [1,2,1,2,1] => 603
[8,1,4,2,7,3,6,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[1,5,3,2,8,7,4,6] => 0110110 => [1,2,1,2,1] => 603
[8,2,1,7,5,3,4,6] => 1101100 => [2,1,2,2] => 363
[1,7,6,4,5,8,3,2] => 0110011 => [1,2,2,2] => 363
[5,8,7,4,1,2,6,3] => 0111001 => [1,3,2,1] => 259
[5,8,7,4,6,2,1,3] => 0110110 => [1,2,1,2,1] => 603
[3,4,2,5,8,6,7,1] => 0100101 => [1,1,2,1,1,1] => 984
[4,1,3,5,6,8,7,2] => 1000011 => [1,4,2] => 85
[2,4,8,6,7,1,3,5] => 0010100 => [2,1,1,1,2] => 603
[4,3,6,2,8,1,7,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[3,7,4,8,2,1,6,5] => 0101101 => [1,1,1,2,1,1] => 1006
[2,3,5,8,6,7,1,4] => 0001010 => [3,1,1,1,1] => 427
[3,2,5,6,8,7,1,4] => 1000110 => [1,3,2,1] => 259
[2,1,8,5,6,7,3,4] => 1010010 => [1,1,1,2,1,1] => 1006
[1,2,8,3,5,6,7,4] => 0010001 => [2,1,3,1] => 262
[4,2,3,7,1,8,6,5] => 1001011 => [1,2,1,1,2] => 603
[3,2,6,4,8,1,7,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,2,1,6,7,3,4,5] => 1100100 => [2,2,1,2] => 357
[2,7,8,5,4,1,3,6] => 0011100 => [2,3,2] => 153
[1,7,5,3,8,4,2,6] => 0110110 => [1,2,1,2,1] => 603
[4,7,5,3,1,2,8,6] => 0111001 => [1,3,2,1] => 259
[7,2,4,8,5,3,1,6] => 1001110 => [1,2,3,1] => 262
[4,8,3,1,2,7,6,5] => 0110011 => [1,2,2,2] => 363
[3,5,2,7,4,1,8,6] => 0101101 => [1,1,1,2,1,1] => 1006
[8,4,2,3,7,1,5,6] => 1100100 => [2,2,1,2] => 357
[2,8,4,7,1,3,5,6] => 0101000 => [1,1,1,1,3] => 450
[8,2,4,6,7,1,3,5] => 1000100 => [1,3,1,2] => 259
[4,8,2,3,6,7,1,5] => 0100010 => [1,1,3,1,1] => 439
[3,5,2,7,6,1,8,4] => 0101101 => [1,1,1,2,1,1] => 1006
[1,6,3,2,5,8,7,4] => 0110011 => [1,2,2,2] => 363
[5,8,3,2,1,6,7,4] => 0111001 => [1,3,2,1] => 259
[5,8,7,3,4,6,2,1] => 0110011 => [1,2,2,2] => 363
[5,8,2,7,4,1,6,3] => 0101101 => [1,1,1,2,1,1] => 1006
[5,1,4,2,8,7,6,3] => 1010111 => [1,1,1,1,3] => 450
[4,7,6,5,8,2,1,3] => 0110110 => [1,2,1,2,1] => 603
[5,3,7,1,6,2,8,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,2,6,8,7,1,3,4] => 1001100 => [1,2,2,2] => 363
[6,3,2,1,8,5,7,4] => 1110101 => [3,1,1,1,1] => 427
[2,7,5,4,1,8,6,3] => 0111011 => [1,3,1,2] => 259
[4,2,5,6,8,7,1,3] => 1000110 => [1,3,2,1] => 259
[1,8,4,2,5,6,7,3] => 0110001 => [1,2,3,1] => 262
[3,8,4,1,5,6,7,2] => 0110001 => [1,2,3,1] => 262
[4,2,8,5,6,7,1,3] => 1010010 => [1,1,1,2,1,1] => 1006
[5,2,4,7,1,8,6,3] => 1001011 => [1,2,1,1,2] => 603
[5,3,4,7,1,8,6,2] => 1001011 => [1,2,1,1,2] => 603
[8,6,4,1,3,2,5,7] => 1110100 => [3,1,1,2] => 259
[8,1,3,6,5,2,4,7] => 1001100 => [1,2,2,2] => 363
[8,1,4,3,6,5,2,7] => 1010110 => [1,1,1,1,2,1] => 1023
[3,6,5,2,1,8,7,4] => 0111011 => [1,3,1,2] => 259
[8,3,2,4,6,5,1,7] => 1100110 => [2,2,2,1] => 357
[8,4,2,1,6,5,3,7] => 1110110 => [3,1,2,1] => 259
[8,4,1,2,6,5,3,7] => 1100110 => [2,2,2,1] => 357
[8,6,4,2,1,5,3,7] => 1111010 => [4,1,1,1] => 145
[8,3,6,4,1,5,2,7] => 1011010 => [1,1,2,1,1,1] => 984
[8,2,6,3,4,5,1,7] => 1010010 => [1,1,1,2,1,1] => 1006
[1,3,4,8,5,7,2,6] => 0001010 => [3,1,1,1,1] => 427
[5,8,4,7,6,2,3,1] => 0101101 => [1,1,1,2,1,1] => 1006
[1,3,4,7,5,8,2,6] => 0001010 => [3,1,1,1,1] => 427
[1,3,5,2,4,8,7,6] => 0010011 => [2,1,2,2] => 363
[2,6,5,1,3,8,7,4] => 0110011 => [1,2,2,2] => 363
[4,7,1,6,5,8,3,2] => 0101011 => [1,1,1,1,1,2] => 1023
[5,4,8,7,6,3,1,2] => 1011110 => [1,1,4,1] => 148
[2,8,5,1,4,7,6,3] => 0110011 => [1,2,2,2] => 363
[4,3,1,5,8,6,7,2] => 1100101 => [2,2,1,1,1] => 582
[4,1,3,5,8,6,7,2] => 1000101 => [1,3,1,1,1] => 427
[6,5,3,8,4,7,1,2] => 1101010 => [2,1,1,1,1,1] => 969
[5,4,2,1,6,8,7,3] => 1110011 => [3,2,2] => 153
[6,8,4,3,2,7,1,5] => 0111010 => [1,3,1,1,1] => 427
[3,4,7,8,2,1,6,5] => 0001101 => [3,2,1,1] => 256
[5,1,3,2,8,6,7,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,3,1,2,8,6,7,4] => 1100101 => [2,2,1,1,1] => 582
[5,2,3,1,6,8,7,4] => 1010011 => [1,1,1,2,2] => 622
[5,3,2,1,8,6,7,4] => 1110101 => [3,1,1,1,1] => 427
[5,2,1,3,6,8,7,4] => 1100011 => [2,3,2] => 153
[2,4,7,3,8,1,6,5] => 0010101 => [2,1,1,1,1,1] => 969
[6,3,8,2,7,4,1,5] => 1010110 => [1,1,1,1,2,1] => 1023
[8,2,1,3,6,4,7,5] => 1100101 => [2,2,1,1,1] => 582
[3,5,1,7,8,4,2,6] => 0100110 => [1,1,2,2,1] => 611
[2,7,4,5,8,3,1,6] => 0100110 => [1,1,2,2,1] => 611
[1,8,4,3,7,2,6,5] => 0110101 => [1,2,1,1,1,1] => 969
[3,4,8,7,2,1,6,5] => 0011101 => [2,3,1,1] => 256
[5,4,7,8,3,6,2,1] => 1001011 => [1,2,1,1,2] => 603
[6,4,3,8,7,2,1,5] => 1101110 => [2,1,3,1] => 262
[6,3,8,7,4,1,2,5] => 1011100 => [1,1,3,2] => 265
[3,5,7,2,4,8,1,6] => 0010010 => [2,1,2,1,1] => 594
[8,4,7,2,3,1,5,6] => 1010100 => [1,1,1,1,1,2] => 1023
[8,4,7,1,3,2,5,6] => 1010100 => [1,1,1,1,1,2] => 1023
[8,4,7,2,1,3,5,6] => 1011000 => [1,1,2,3] => 265
[8,6,4,2,1,3,7,5] => 1111001 => [4,2,1] => 85
[8,6,4,1,3,2,7,5] => 1110101 => [3,1,1,1,1] => 427
[8,6,4,2,3,1,7,5] => 1110101 => [3,1,1,1,1] => 427
[3,5,7,2,6,1,8,4] => 0010101 => [2,1,1,1,1,1] => 969
[6,1,3,8,5,7,2,4] => 1001010 => [1,2,1,1,1,1] => 969
[5,8,3,2,6,7,1,4] => 0110010 => [1,2,2,1,1] => 594
[4,8,5,3,6,2,7,1] => 0110101 => [1,2,1,1,1,1] => 969
[2,8,1,5,4,7,6,3] => 0101011 => [1,1,1,1,1,2] => 1023
[1,5,8,7,4,6,2,3] => 0011010 => [2,2,1,1,1] => 582
[2,1,7,6,4,5,8,3] => 1011001 => [1,1,2,2,1] => 611
[1,7,2,4,6,5,8,3] => 0100101 => [1,1,2,1,1,1] => 984
[3,5,1,7,6,8,2,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,8,2,6,1,3,7,4] => 0101001 => [1,1,1,1,2,1] => 1023
[6,3,5,8,7,2,1,4] => 1001110 => [1,2,3,1] => 262
[2,5,7,8,4,1,6,3] => 0001101 => [3,2,1,1] => 256
[4,2,8,1,5,6,7,3] => 1010001 => [1,1,1,3,1] => 450
[4,1,5,2,6,8,7,3] => 1010011 => [1,1,1,2,2] => 622
[3,4,5,1,6,8,7,2] => 0010011 => [2,1,2,2] => 363
[4,2,8,5,1,6,7,3] => 1011001 => [1,1,2,2,1] => 611
[4,1,8,5,2,6,7,3] => 1011001 => [1,1,2,2,1] => 611
[2,7,1,8,5,4,6,3] => 0101101 => [1,1,1,2,1,1] => 1006
[5,8,6,2,1,3,7,4] => 0111001 => [1,3,2,1] => 259
[8,2,4,1,5,6,7,3] => 1010001 => [1,1,1,3,1] => 450
[4,6,3,5,8,1,7,2] => 0100101 => [1,1,2,1,1,1] => 984
[1,7,8,3,5,4,6,2] => 0010101 => [2,1,1,1,1,1] => 969
[3,4,5,1,8,6,7,2] => 0010101 => [2,1,1,1,1,1] => 969
[3,8,1,4,5,6,7,2] => 0100001 => [1,1,4,1] => 148
[3,4,5,6,8,2,1,7] => 0000110 => [4,2,1] => 85
[3,4,5,7,1,8,6,2] => 0001011 => [3,1,1,2] => 259
[3,4,5,7,8,2,6,1] => 0000101 => [4,1,1,1] => 145
[3,4,6,2,8,5,1,7] => 0010110 => [2,1,1,2,1] => 603
[3,4,6,8,1,5,2,7] => 0001010 => [3,1,1,1,1] => 427
[3,4,7,2,1,8,6,5] => 0011011 => [2,2,1,2] => 357
[3,4,7,8,1,5,6,2] => 0001001 => [3,1,2,1] => 259
[3,4,8,2,1,5,6,7] => 0011000 => [2,2,3] => 153
[3,5,2,6,7,8,1,4] => 0100010 => [1,1,3,1,1] => 439
[3,5,2,7,8,4,6,1] => 0100101 => [1,1,2,1,1,1] => 984
[3,5,2,8,4,1,6,7] => 0101100 => [1,1,1,2,2] => 622
[3,5,6,2,8,4,1,7] => 0010110 => [2,1,1,2,1] => 603
[3,5,6,8,4,1,2,7] => 0001100 => [3,2,2] => 153
[3,5,7,2,4,8,6,1] => 0010011 => [2,1,2,2] => 363
[3,5,7,2,8,4,6,1] => 0010101 => [2,1,1,1,1,1] => 969
[3,5,7,8,4,1,6,2] => 0001101 => [3,2,1,1] => 256
[3,6,2,1,7,8,5,4] => 0110011 => [1,2,2,2] => 363
[3,6,2,1,8,5,4,7] => 0110110 => [1,2,1,2,1] => 603
[3,6,7,2,4,8,5,1] => 0010011 => [2,1,2,2] => 363
[3,6,7,2,8,5,4,1] => 0010111 => [2,1,1,3] => 262
[3,6,7,8,4,5,1,2] => 0001010 => [3,1,1,1,1] => 427
[3,6,8,2,4,5,1,7] => 0010010 => [2,1,2,1,1] => 594
[3,7,2,1,4,8,6,5] => 0110011 => [1,2,2,2] => 363
[3,7,2,1,8,5,6,4] => 0110101 => [1,2,1,1,1,1] => 969
[3,7,2,8,4,5,6,1] => 0101001 => [1,1,1,1,2,1] => 1023
[3,7,8,2,4,5,6,1] => 0010001 => [2,1,3,1] => 262
[3,8,2,1,4,5,6,7] => 0110000 => [1,2,4] => 85
[4,1,5,6,7,8,3,2] => 1000011 => [1,4,2] => 85
[4,1,5,7,3,8,6,2] => 1001011 => [1,2,1,1,2] => 603
[4,1,6,3,7,8,5,2] => 1010011 => [1,1,1,2,2] => 622
[4,1,6,3,8,5,2,7] => 1010110 => [1,1,1,1,2,1] => 1023
[4,1,6,7,3,8,5,2] => 1001011 => [1,2,1,1,2] => 603
[4,1,6,7,8,5,2,3] => 1000110 => [1,3,2,1] => 259
[4,1,6,8,3,5,2,7] => 1001010 => [1,2,1,1,1,1] => 969
[4,1,7,3,2,8,6,5] => 1011011 => [1,1,2,1,2] => 611
[4,1,7,8,3,5,6,2] => 1001001 => [1,2,1,2,1] => 603
[4,1,8,3,2,5,6,7] => 1011000 => [1,1,2,3] => 265
[4,5,2,6,7,8,3,1] => 0100011 => [1,1,3,2] => 265
[4,5,2,6,8,1,3,7] => 0100100 => [1,1,2,1,2] => 611
[4,5,6,3,8,1,2,7] => 0010100 => [2,1,1,1,2] => 603
[4,5,6,8,3,1,2,7] => 0001100 => [3,2,2] => 153
[4,5,7,3,8,1,6,2] => 0010101 => [2,1,1,1,1,1] => 969
[4,5,8,3,2,1,6,7] => 0011100 => [2,3,2] => 153
[4,6,2,3,7,8,5,1] => 0100011 => [1,1,3,2] => 265
[4,6,2,3,8,5,1,7] => 0100110 => [1,1,2,2,1] => 611
[4,6,2,7,3,8,5,1] => 0101011 => [1,1,1,1,1,2] => 1023
[4,6,2,7,8,5,1,3] => 0100110 => [1,1,2,2,1] => 611
[4,6,7,3,2,8,5,1] => 0011011 => [2,2,1,2] => 357
[4,6,8,3,2,5,1,7] => 0011010 => [2,2,1,1,1] => 582
[4,7,2,3,1,8,6,5] => 0101011 => [1,1,1,1,1,2] => 1023
[4,7,2,8,3,5,6,1] => 0101001 => [1,1,1,1,2,1] => 1023
[4,7,8,3,2,5,6,1] => 0011001 => [2,2,2,1] => 357
[4,8,2,3,1,5,6,7] => 0101000 => [1,1,1,1,3] => 450
[5,1,2,6,8,4,3,7] => 1000110 => [1,3,2,1] => 259
[5,1,2,7,4,8,6,3] => 1001011 => [1,2,1,1,2] => 603
[5,1,2,7,8,4,6,3] => 1000101 => [1,3,1,1,1] => 427
[5,1,2,8,4,3,6,7] => 1001100 => [1,2,2,2] => 363
[5,1,6,3,8,4,2,7] => 1010110 => [1,1,1,1,2,1] => 1023
[5,1,6,7,4,8,2,3] => 1001010 => [1,2,1,1,1,1] => 969
[5,1,6,7,8,4,2,3] => 1000110 => [1,3,2,1] => 259
[5,1,8,3,4,2,6,7] => 1010100 => [1,1,1,1,1,2] => 1023
[5,6,2,3,8,4,1,7] => 0100110 => [1,1,2,2,1] => 611
[5,6,2,7,8,4,1,3] => 0100110 => [1,1,2,2,1] => 611
[5,6,8,3,4,2,1,7] => 0010110 => [2,1,1,2,1] => 603
[5,7,2,3,4,8,6,1] => 0100011 => [1,1,3,2] => 265
[5,7,2,3,8,4,6,1] => 0100101 => [1,1,2,1,1,1] => 984
[5,7,8,3,4,2,6,1] => 0010101 => [2,1,1,1,1,1] => 969
[5,8,2,3,4,1,6,7] => 0100100 => [1,1,2,1,2] => 611
[6,1,2,3,7,8,5,4] => 1000011 => [1,4,2] => 85
[6,1,2,3,8,5,4,7] => 1000110 => [1,3,2,1] => 259
[6,1,2,7,8,5,4,3] => 1000111 => [1,3,3] => 110
[6,1,2,8,4,5,3,7] => 1001010 => [1,2,1,1,1,1] => 969
[6,1,7,3,4,8,5,2] => 1010011 => [1,1,1,2,2] => 622
[6,1,7,3,8,5,4,2] => 1010111 => [1,1,1,1,3] => 450
[6,1,7,8,4,5,3,2] => 1001011 => [1,2,1,1,2] => 603
[6,1,8,3,4,5,2,7] => 1010010 => [1,1,1,2,1,1] => 1006
[6,7,2,3,8,5,4,1] => 0100111 => [1,1,2,3] => 265
[6,7,2,8,4,5,3,1] => 0101011 => [1,1,1,1,1,2] => 1023
[6,8,2,3,4,5,1,7] => 0100010 => [1,1,3,1,1] => 439
[7,1,2,3,4,8,6,5] => 1000011 => [1,4,2] => 85
[7,1,2,8,4,5,6,3] => 1001001 => [1,2,1,2,1] => 603
[7,1,8,3,4,5,6,2] => 1010001 => [1,1,1,3,1] => 450
[6,4,1,8,2,3,7,5] => 1101001 => [2,1,1,2,1] => 603
[5,8,1,2,4,3,7,6] => 0100101 => [1,1,2,1,1,1] => 984
[1,3,5,7,2,6,4,8] => 0001010 => [3,1,1,1,1] => 427
[3,5,8,6,1,2,4,7] => 0011000 => [2,2,3] => 153
[3,1,6,8,2,4,7,5] => 1001001 => [1,2,1,2,1] => 603
[3,6,2,8,1,5,7,4] => 0101001 => [1,1,1,1,2,1] => 1023
[2,6,1,3,8,4,7,5] => 0100101 => [1,1,2,1,1,1] => 984
[1,7,5,2,3,4,6,8] => 0110000 => [1,2,4] => 85
[2,7,5,1,3,8,4,6] => 0110010 => [1,2,2,1,1] => 594
[8,2,5,7,4,6,1,3] => 1001010 => [1,2,1,1,1,1] => 969
[8,2,1,3,7,6,4,5] => 1100110 => [2,2,2,1] => 357
[8,2,5,1,3,7,4,6] => 1010010 => [1,1,1,2,1,1] => 1006
[8,2,7,5,3,1,6,4] => 1011101 => [1,1,3,1,1] => 439
[8,2,6,5,4,7,1,3] => 1011010 => [1,1,2,1,1,1] => 984
[7,6,5,2,4,8,1,3] => 1110010 => [3,2,1,1] => 256
[7,8,2,5,3,1,6,4] => 0101101 => [1,1,1,2,1,1] => 1006
[7,1,8,6,3,2,4,5] => 1011100 => [1,1,3,2] => 265
[6,8,1,5,3,2,4,7] => 0101100 => [1,1,1,2,2] => 622
[1,6,7,5,3,2,4,8] => 0011100 => [2,3,2] => 153
[6,5,1,2,4,8,3,7] => 1100010 => [2,3,1,1] => 256
[7,8,1,6,4,2,3,5] => 0101100 => [1,1,1,2,2] => 622
[8,4,1,2,5,6,3,7] => 1100010 => [2,3,1,1] => 256
[1,7,3,6,5,2,4,8] => 0101100 => [1,1,1,2,2] => 622
[8,1,3,7,2,6,4,5] => 1001010 => [1,2,1,1,1,1] => 969
[7,3,2,6,5,1,8,4] => 1101101 => [2,1,2,1,1] => 594
[7,8,4,2,5,6,1,3] => 0110010 => [1,2,2,1,1] => 594
[8,2,7,4,5,6,1,3] => 1010010 => [1,1,1,2,1,1] => 1006
[8,2,3,6,5,1,7,4] => 1001101 => [1,2,2,1,1] => 594
[7,9,8,6,5,4,3,2,1] => 01111111 => [1,7] => 8
[6,9,8,7,5,4,3,2,1] => 01111111 => [1,7] => 8
[5,9,8,7,6,4,3,2,1] => 01111111 => [1,7] => 8
[4,9,8,7,6,5,3,2,1] => 01111111 => [1,7] => 8
[3,9,8,7,6,5,4,2,1] => 01111111 => [1,7] => 8
[2,9,8,7,6,5,4,3,1] => 01111111 => [1,7] => 8
[6,9,7,8,5,4,3,2,1] => 01011111 => [1,1,1,5] => 244
[4,8,6,5,7,3,2,1] => 0110111 => [1,2,1,3] => 262
[5,9,8,6,7,4,3,2,1] => 01101111 => [1,2,1,4] => 534
[3,8,7,5,4,6,2,1] => 0111011 => [1,3,1,2] => 259
[4,8,5,6,7,3,2,1] => 0100111 => [1,1,2,3] => 265
[4,9,8,7,5,6,3,2,1] => 01110111 => [1,3,1,3] => 676
[2,8,7,6,4,3,5,1] => 0111101 => [1,4,1,1] => 145
[3,8,7,4,5,6,2,1] => 0110011 => [1,2,2,2] => 363
[3,9,8,7,6,4,5,2,1] => 01111011 => [1,4,1,2] => 526
[1,8,7,6,5,3,2,4] => 0111110 => [1,5,1] => 37
[2,8,7,6,3,4,5,1] => 0111001 => [1,3,2,1] => 259
[2,9,8,7,6,5,3,4,1] => 01111101 => [1,5,1,1] => 240
[1,8,7,6,5,2,3,4] => 0111100 => [1,4,2] => 85
[1,9,8,7,6,5,4,2,3] => 01111110 => [1,6,1] => 50
[7,2,8,6,5,4,1,3] => 1011110 => [1,1,4,1] => 148
[7,2,8,5,4,6,1,3] => 1011010 => [1,1,2,1,1,1] => 984
[6,3,2,8,5,1,7,4] => 1101101 => [2,1,2,1,1] => 594
[8,4,7,2,5,6,3,1] => 1010011 => [1,1,1,2,2] => 622
[6,8,5,4,3,1,7,2] => 0111101 => [1,4,1,1] => 145
[5,8,6,4,1,3,7,2] => 0111001 => [1,3,2,1] => 259
[4,8,6,1,5,3,7,2] => 0110101 => [1,2,1,1,1,1] => 969
[3,6,1,8,5,2,7,4] => 0101101 => [1,1,1,2,1,1] => 1006
[3,4,1,2,8,6,7,5] => 0100101 => [1,1,2,1,1,1] => 984
[6,8,3,5,4,1,7,2] => 0101101 => [1,1,1,2,1,1] => 1006
[7,2,5,8,3,6,1,4] => 1001010 => [1,2,1,1,1,1] => 969
[1,7,5,6,3,4,2,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[7,2,6,8,5,3,1,4] => 1001110 => [1,2,3,1] => 262
[7,6,3,8,5,2,1,4] => 1101110 => [2,1,3,1] => 262
[7,2,6,4,8,3,1,5] => 1010110 => [1,1,1,1,2,1] => 1023
[1,5,7,4,2,6,3,8] => 0011010 => [2,2,1,1,1] => 582
[4,2,3,1,7,8,5,6] => 1010010 => [1,1,1,2,1,1] => 1006
[5,2,8,4,1,7,6,3] => 1011011 => [1,1,2,1,2] => 611
[8,6,3,4,7,2,5,1] => 1100101 => [2,2,1,1,1] => 582
[6,8,3,4,5,1,7,2] => 0100101 => [1,1,2,1,1,1] => 984
[1,6,3,2,5,8,4,7] => 0110010 => [1,2,2,1,1] => 594
[8,3,2,1,5,4,7,6] => 1110101 => [3,1,1,1,1] => 427
[6,3,7,1,5,8,4,2] => 1010011 => [1,1,1,2,2] => 622
[2,5,1,8,4,3,7,6] => 0101101 => [1,1,1,2,1,1] => 1006
[6,2,5,4,8,1,3,7] => 1010100 => [1,1,1,1,1,2] => 1023
[4,3,1,6,5,8,2,7] => 1101010 => [2,1,1,1,1,1] => 969
[1,3,5,4,6,8,2,7] => 0010010 => [2,1,2,1,1] => 594
[6,1,3,4,5,8,2,7] => 1000010 => [1,4,1,1] => 145
[8,3,4,1,5,2,7,6] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,5,4,2,6,8,3,1] => 1110011 => [3,2,2] => 153
[8,2,6,4,1,7,3,5] => 1011010 => [1,1,2,1,1,1] => 984
[7,3,8,4,5,2,1,6] => 1010110 => [1,1,1,1,2,1] => 1023
[7,2,5,1,8,4,3,6] => 1010110 => [1,1,1,1,2,1] => 1023
[1,7,3,2,5,4,8,6] => 0110101 => [1,2,1,1,1,1] => 969
[8,7,2,1,5,3,4,6] => 1110100 => [3,1,1,2] => 259
[3,6,1,5,8,7,4,2] => 0100111 => [1,1,2,3] => 265
[8,3,6,4,5,1,7,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,4,6,8,1,2,7,3] => 1001001 => [1,2,1,2,1] => 603
[6,4,7,2,3,5,8,1] => 1010001 => [1,1,1,3,1] => 450
[6,8,4,1,3,5,7,2] => 0110001 => [1,2,3,1] => 262
[3,4,7,8,6,2,5,1] => 0001101 => [3,2,1,1] => 256
[4,1,3,5,7,8,6,2] => 1000011 => [1,4,2] => 85
[6,5,1,8,4,7,3,2] => 1101011 => [2,1,1,1,2] => 603
[5,3,1,8,4,7,6,2] => 1101011 => [2,1,1,1,2] => 603
[8,2,7,4,6,1,3,5] => 1010100 => [1,1,1,1,1,2] => 1023
[4,7,3,2,8,1,6,5] => 0110101 => [1,2,1,1,1,1] => 969
[6,3,1,4,7,2,8,5] => 1100101 => [2,2,1,1,1] => 582
[8,7,3,6,1,5,2,4] => 1101010 => [2,1,1,1,1,1] => 969
[7,4,3,6,8,2,5,1] => 1100101 => [2,2,1,1,1] => 582
[2,4,7,3,8,5,6,1] => 0010101 => [2,1,1,1,1,1] => 969
[2,8,6,1,5,7,3,4] => 0110010 => [1,2,2,1,1] => 594
[7,8,2,5,4,3,1,6] => 0101110 => [1,1,1,3,1] => 450
[1,8,3,4,2,7,6,5] => 0101011 => [1,1,1,1,1,2] => 1023
[8,5,3,7,4,2,6,1] => 1101101 => [2,1,2,1,1] => 594
[5,7,3,2,4,1,8,6] => 0110101 => [1,2,1,1,1,1] => 969
[2,8,3,4,7,1,5,6] => 0100100 => [1,1,2,1,2] => 611
[4,1,3,6,7,8,2,5] => 1000010 => [1,4,1,1] => 145
[1,7,6,3,2,5,8,4] => 0111001 => [1,3,2,1] => 259
[3,8,1,5,6,2,7,4] => 0100101 => [1,1,2,1,1,1] => 984
[8,2,5,6,1,7,4,3] => 1001011 => [1,2,1,1,2] => 603
[7,1,5,2,8,6,4,3] => 1010111 => [1,1,1,1,3] => 450
[6,5,4,8,7,2,1,3] => 1101110 => [2,1,3,1] => 262
[1,8,6,4,5,2,7,3] => 0110101 => [1,2,1,1,1,1] => 969
[1,8,5,3,6,2,7,4] => 0110101 => [1,2,1,1,1,1] => 969
[3,6,2,1,7,5,8,4] => 0110101 => [1,2,1,1,1,1] => 969
[2,5,4,1,8,7,6,3] => 0110111 => [1,2,1,3] => 262
[4,7,2,6,5,8,1,3] => 0101010 => [1,1,1,1,1,1,1] => 1623
[6,8,1,4,2,7,3,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[6,3,4,7,1,8,2,5] => 1001010 => [1,2,1,1,1,1] => 969
[3,4,7,8,2,5,6,1] => 0001001 => [3,1,2,1] => 259
[1,8,2,4,5,6,7,3] => 0100001 => [1,1,4,1] => 148
[5,2,4,1,6,8,7,3] => 1010011 => [1,1,1,2,2] => 622
[3,2,5,7,6,1,8,4] => 1001101 => [1,2,2,1,1] => 594
[4,3,5,6,1,8,7,2] => 1001011 => [1,2,1,1,2] => 603
[5,3,4,1,7,6,8,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[3,1,4,6,5,7,8,2] => 1001001 => [1,2,1,2,1] => 603
[1,4,7,3,5,6,8,2] => 0010001 => [2,1,3,1] => 262
[1,3,2,7,5,8,6,4] => 0101011 => [1,1,1,1,1,2] => 1023
[1,4,2,5,8,3,7,6] => 0100101 => [1,1,2,1,1,1] => 984
[4,1,2,6,8,5,3,7] => 1000110 => [1,3,2,1] => 259
[1,5,2,4,8,7,6,3] => 0100111 => [1,1,2,3] => 265
[1,2,6,4,8,7,5,3] => 0010111 => [2,1,1,3] => 262
[1,2,7,4,8,6,5,3] => 0010111 => [2,1,1,3] => 262
[1,3,2,7,5,8,4,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,3,2,8,5,7,4,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,5,2,4,8,7,3,6] => 0100110 => [1,1,2,2,1] => 611
[1,2,6,4,8,7,3,5] => 0010110 => [2,1,1,2,1] => 603
[1,2,7,8,5,6,3,4] => 0001010 => [3,1,1,1,1] => 427
[1,3,8,2,6,7,4,5] => 0010010 => [2,1,2,1,1] => 594
[1,6,7,8,2,5,3,4] => 0001010 => [3,1,1,1,1] => 427
[1,5,7,8,2,3,6,4] => 0001001 => [3,1,2,1] => 259
[1,5,2,7,8,4,6,3] => 0100101 => [1,1,2,1,1,1] => 984
[1,3,6,2,4,8,7,5] => 0010011 => [2,1,2,2] => 363
[1,6,7,3,4,8,5,2] => 0010011 => [2,1,2,2] => 363
[1,5,3,7,4,8,6,2] => 0101011 => [1,1,1,1,1,2] => 1023
[2,8,4,1,5,3,7,6] => 0110101 => [1,2,1,1,1,1] => 969
[3,8,4,1,5,7,2,6] => 0110010 => [1,2,2,1,1] => 594
[1,3,8,4,2,7,6,5] => 0011011 => [2,2,1,2] => 357
[1,2,8,4,7,3,6,5] => 0010101 => [2,1,1,1,1,1] => 969
[1,2,7,4,8,3,6,5] => 0010101 => [2,1,1,1,1,1] => 969
[1,2,6,4,8,3,7,5] => 0010101 => [2,1,1,1,1,1] => 969
[1,5,2,4,8,3,7,6] => 0100101 => [1,1,2,1,1,1] => 984
[1,8,3,5,2,7,4,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,3,8,6,2,7,4,5] => 0011010 => [2,2,1,1,1] => 582
[1,4,8,6,7,2,3,5] => 0010100 => [2,1,1,1,2] => 603
[1,2,6,8,5,3,7,4] => 0001101 => [3,2,1,1] => 256
[1,2,7,8,6,3,5,4] => 0001101 => [3,2,1,1] => 256
[1,6,7,8,5,2,3,4] => 0001100 => [3,2,2] => 153
[1,5,7,8,6,2,3,4] => 0001100 => [3,2,2] => 153
[1,4,7,6,8,2,3,5] => 0010100 => [2,1,1,1,2] => 603
[1,3,7,6,2,8,4,5] => 0011010 => [2,2,1,1,1] => 582
[2,3,8,7,4,1,6,5] => 0011101 => [2,3,1,1] => 256
[1,2,5,8,7,6,3,4] => 0001110 => [3,3,1] => 110
[1,2,6,8,7,5,3,4] => 0001110 => [3,3,1] => 110
[1,2,7,8,6,5,3,4] => 0001110 => [3,3,1] => 110
[5,2,6,7,3,4,8,1] => 1001001 => [1,2,1,2,1] => 603
[5,2,4,7,6,3,8,1] => 1001101 => [1,2,2,1,1] => 594
[5,6,2,1,7,8,3,4] => 0110010 => [1,2,2,1,1] => 594
[5,6,2,1,4,8,7,3] => 0110011 => [1,2,2,2] => 363
[2,6,1,4,5,8,7,3] => 0100011 => [1,1,3,2] => 265
[5,4,2,7,6,3,8,1] => 1101101 => [2,1,2,1,1] => 594
[2,3,7,6,4,5,8,1] => 0011001 => [2,2,2,1] => 357
[2,6,1,7,5,8,3,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,6,1,7,4,8,5,3] => 0101011 => [1,1,1,1,1,2] => 1023
[5,1,2,7,8,4,3,6] => 1000110 => [1,3,2,1] => 259
[2,6,1,7,4,8,3,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,6,4,1,7,8,2,5] => 0110010 => [1,2,2,1,1] => 594
[5,4,6,1,3,8,7,2] => 1010011 => [1,1,1,2,2] => 622
[3,6,4,1,5,8,7,2] => 0110011 => [1,2,2,2] => 363
[2,6,1,5,4,8,7,3] => 0101011 => [1,1,1,1,1,2] => 1023
[2,6,1,4,7,8,5,3] => 0100011 => [1,1,3,2] => 265
[5,1,2,4,8,6,7,3] => 1000101 => [1,3,1,1,1] => 427
[5,1,2,4,8,7,3,6] => 1000110 => [1,3,2,1] => 259
[5,1,2,4,8,7,6,3] => 1000111 => [1,3,3] => 110
[1,2,3,8,5,4,7,6] => 0001101 => [3,2,1,1] => 256
[4,3,1,2,8,5,7,6] => 1100101 => [2,2,1,1,1] => 582
[2,1,5,3,8,6,4,7] => 1010110 => [1,1,1,1,2,1] => 1023
[1,2,3,8,5,6,4,7] => 0001010 => [3,1,1,1,1] => 427
[1,2,3,8,6,4,5,7] => 0001100 => [3,2,2] => 153
[1,2,3,8,6,5,4,7] => 0001110 => [3,3,1] => 110
[1,2,3,8,5,4,6,7] => 0001100 => [3,2,2] => 153
[2,6,1,5,4,8,3,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,1,2,4,8,6,3,7] => 1000110 => [1,3,2,1] => 259
[5,1,2,4,8,3,7,6] => 1000101 => [1,3,1,1,1] => 427
[5,6,3,1,4,8,2,7] => 0110010 => [1,2,2,1,1] => 594
[2,5,4,3,1,8,6,7] => 0111010 => [1,3,1,1,1] => 427
[5,4,6,3,1,8,7,2] => 1011011 => [1,1,2,1,2] => 611
[3,6,4,5,1,8,7,2] => 0101011 => [1,1,1,1,1,2] => 1023
[3,6,5,4,1,8,7,2] => 0111011 => [1,3,1,2] => 259
[5,2,6,1,7,8,4,3] => 1010011 => [1,1,1,2,2] => 622
[5,1,6,2,8,7,3,4] => 1010110 => [1,1,1,1,2,1] => 1023
[2,1,3,7,8,6,4,5] => 1000110 => [1,3,2,1] => 259
[2,1,3,7,8,5,6,4] => 1000101 => [1,3,1,1,1] => 427
[5,2,4,1,7,8,6,3] => 1010011 => [1,1,1,2,2] => 622
[4,3,1,2,8,6,7,5] => 1100101 => [2,2,1,1,1] => 582
[5,1,4,2,8,6,7,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[2,1,3,6,8,5,7,4] => 1000101 => [1,3,1,1,1] => 427
[1,2,3,8,6,7,4,5] => 0001010 => [3,1,1,1,1] => 427
[1,2,3,8,7,5,4,6] => 0001110 => [3,3,1] => 110
[1,2,3,8,7,4,5,6] => 0001100 => [3,2,2] => 153
[1,2,3,8,5,7,4,6] => 0001010 => [3,1,1,1,1] => 427
[2,1,3,6,8,7,4,5] => 1000110 => [1,3,2,1] => 259
[5,4,1,2,8,7,6,3] => 1100111 => [2,2,3] => 153
[3,1,6,2,8,7,5,4] => 1010111 => [1,1,1,1,3] => 450
[1,2,3,4,5,9,6,7,8] => 00000100 => [5,1,2] => 138
[1,2,3,4,9,5,6,7,8] => 00001000 => [4,1,3] => 220
[1,2,3,9,4,5,6,7,8] => 00010000 => [3,1,4] => 220
[1,2,9,3,4,5,6,7,8] => 00100000 => [2,1,5] => 138
[1,2,3,4,5,9,7,6,8] => 00000110 => [5,2,1] => 138
[1,2,3,4,9,6,5,7,8] => 00001100 => [4,2,2] => 306
[1,2,8,4,5,3,6,7] => 0010100 => [2,1,1,1,2] => 603
[1,2,3,9,5,4,6,7,8] => 00011000 => [3,2,3] => 392
[1,8,3,4,2,5,6,7] => 0101000 => [1,1,1,1,3] => 450
[1,2,9,4,3,5,6,7,8] => 00110000 => [2,2,4] => 306
[1,8,4,3,2,5,6,7] => 0111000 => [1,3,3] => 110
[1,9,3,2,4,5,6,7,8] => 01100000 => [1,2,5] => 138
[8,4,7,6,5,3,2,1] => 1011111 => [1,1,5] => 37
[8,4,7,5,6,3,2,1] => 1010111 => [1,1,1,1,3] => 450
[8,5,7,4,6,3,2,1] => 1010111 => [1,1,1,1,3] => 450
[8,7,6,3,5,4,2,1] => 1110111 => [3,1,3] => 110
[8,6,7,3,5,4,2,1] => 1010111 => [1,1,1,1,3] => 450
[8,5,7,3,6,4,2,1] => 1010111 => [1,1,1,1,3] => 450
[8,1,7,4,6,5,3,2] => 1010111 => [1,1,1,1,3] => 450
[8,1,7,3,6,5,4,2] => 1010111 => [1,1,1,1,3] => 450
[8,2,7,3,6,5,4,1] => 1010111 => [1,1,1,1,3] => 450
[8,3,7,2,6,5,4,1] => 1010111 => [1,1,1,1,3] => 450
[8,5,7,2,6,4,3,1] => 1010111 => [1,1,1,1,3] => 450
[8,6,7,2,5,4,3,1] => 1010111 => [1,1,1,1,3] => 450
[8,7,6,2,5,4,3,1] => 1110111 => [3,1,3] => 110
[8,4,7,1,6,5,3,2] => 1010111 => [1,1,1,1,3] => 450
[8,3,7,1,6,5,4,2] => 1010111 => [1,1,1,1,3] => 450
[8,2,7,1,6,5,4,3] => 1010111 => [1,1,1,1,3] => 450
[8,1,7,2,6,5,4,3] => 1010111 => [1,1,1,1,3] => 450
[8,7,6,2,5,3,4,1] => 1110101 => [3,1,1,1,1] => 427
[8,1,7,6,5,3,4,2] => 1011101 => [1,1,3,1,1] => 439
[8,3,7,6,5,2,4,1] => 1011101 => [1,1,3,1,1] => 439
[8,4,7,6,5,2,3,1] => 1011101 => [1,1,3,1,1] => 439
[8,5,7,6,4,2,3,1] => 1011101 => [1,1,3,1,1] => 439
[8,6,7,5,4,1,3,2] => 1011101 => [1,1,3,1,1] => 439
[8,5,7,6,4,1,3,2] => 1011101 => [1,1,3,1,1] => 439
[8,3,7,6,5,1,4,2] => 1011101 => [1,1,3,1,1] => 439
[8,7,6,4,5,1,3,2] => 1110101 => [3,1,1,1,1] => 427
[8,7,6,2,5,1,4,3] => 1110101 => [3,1,1,1,1] => 427
[8,7,6,1,5,2,4,3] => 1110101 => [3,1,1,1,1] => 427
[6,8,1,3,2,5,4,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[6,8,1,4,2,5,3,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[7,8,3,6,1,4,2,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[7,8,2,5,3,6,1,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[7,8,2,5,1,4,3,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[7,8,1,4,3,6,2,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,8,1,4,3,7,2,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[6,8,2,5,1,4,3,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[6,8,2,5,3,7,1,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[6,8,2,5,4,7,1,3] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,5,4,7,6,8,1,3] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,5,3,7,6,8,1,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,5,1,4,3,7,6,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,6,1,4,3,7,5,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,6,5,8,1,4,3,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,6,1,5,3,7,4,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,6,3,7,4,8,1,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,6,4,7,5,8,1,3] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,8,3,6,4,7,1,2] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,8,2,6,4,7,1,3] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,8,2,6,3,7,1,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,8,1,5,3,7,2,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,8,1,5,2,6,3,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,8,3,7,1,5,2,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[6,8,3,7,1,4,2,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,8,1,3,2,6,4,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,8,4,7,1,3,2,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[6,8,4,7,1,3,2,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[6,8,5,7,1,3,2,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,7,6,8,2,4,1,3] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,7,6,8,1,3,2,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,7,5,8,1,3,2,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,7,1,3,2,6,5,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,7,1,4,2,6,5,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,7,5,8,1,4,2,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,7,6,8,1,4,2,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,7,6,8,2,5,1,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,7,6,8,2,5,1,3] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,7,5,8,3,6,1,2] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,7,5,8,2,6,1,3] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,7,5,8,2,6,1,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,7,4,8,2,6,1,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,7,4,8,1,5,2,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,7,1,5,2,6,4,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,7,2,6,1,5,4,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,7,2,6,5,8,1,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,7,3,6,5,8,1,2] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,6,5,8,4,7,1,2] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,6,5,8,4,7,1,3] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,6,5,8,3,7,1,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,6,3,7,1,5,4,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[7,6,4,2,8,5,3,1] => 1110111 => [3,1,3] => 110
[7,6,4,3,8,2,5,1] => 1110101 => [3,1,1,1,1] => 427
[7,6,4,8,5,2,3,1] => 1101101 => [2,1,2,1,1] => 594
[6,8,4,3,7,2,1,5] => 0110110 => [1,2,1,2,1] => 603
[6,7,4,3,5,1,8,2] => 0110101 => [1,2,1,1,1,1] => 969
[6,7,3,5,4,8,2,1] => 0101011 => [1,1,1,1,1,2] => 1023
[6,8,3,7,5,2,4,1] => 0101101 => [1,1,1,2,1,1] => 1006
[7,6,8,3,5,2,4,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,6,3,5,8,2,4,1] => 1100101 => [2,2,1,1,1] => 582
[7,6,3,5,2,4,8,1] => 1101001 => [2,1,1,2,1] => 603
[7,6,4,2,5,1,8,3] => 1110101 => [3,1,1,1,1] => 427
[7,6,2,8,4,1,5,3] => 1101101 => [2,1,2,1,1] => 594
[7,6,3,8,2,4,1,5] => 1101010 => [2,1,1,1,1,1] => 969
[7,6,3,4,8,2,5,1] => 1100101 => [2,2,1,1,1] => 582
[6,8,3,7,4,5,2,1] => 0101011 => [1,1,1,1,1,2] => 1023
[6,7,3,5,8,4,2,1] => 0100111 => [1,1,2,3] => 265
[5,7,8,3,6,2,1,4] => 0010110 => [2,1,1,2,1] => 603
[5,8,3,6,7,2,1,4] => 0100110 => [1,1,2,2,1] => 611
[6,3,4,8,7,2,5,1] => 1001101 => [1,2,2,1,1] => 594
[6,3,8,4,7,2,1,5] => 1010110 => [1,1,1,1,2,1] => 1023
[6,2,8,4,1,7,5,3] => 1011011 => [1,1,2,1,2] => 611
[6,2,7,4,1,5,3,8] => 1011010 => [1,1,2,1,1,1] => 984
[6,3,4,7,5,8,2,1] => 1001011 => [1,2,1,1,2] => 603
[6,3,5,7,8,4,2,1] => 1000111 => [1,3,3] => 110
[5,7,3,6,8,2,1,4] => 0100110 => [1,1,2,2,1] => 611
[5,6,8,3,7,2,1,4] => 0010110 => [2,1,1,2,1] => 603
[5,6,7,3,4,1,8,2] => 0010101 => [2,1,1,1,1,1] => 969
[4,6,7,8,3,5,2,1] => 0001011 => [3,1,1,2] => 259
[4,6,8,3,5,7,2,1] => 0010011 => [2,1,2,2] => 363
[4,7,3,5,6,8,2,1] => 0100011 => [1,1,3,2] => 265
[4,7,3,5,8,2,6,1] => 0100101 => [1,1,2,1,1,1] => 984
[5,3,4,7,8,2,1,6] => 1000110 => [1,3,2,1] => 259
[5,3,8,2,4,1,6,7] => 1010100 => [1,1,1,1,1,2] => 1023
[5,3,4,8,2,6,1,7] => 1001010 => [1,2,1,1,1,1] => 969
[4,8,3,6,2,5,7,1] => 0101001 => [1,1,1,1,2,1] => 1023
[4,8,3,5,7,2,6,1] => 0100101 => [1,1,2,1,1,1] => 984
[4,8,3,5,6,7,2,1] => 0100011 => [1,1,3,2] => 265
[4,7,8,3,5,6,2,1] => 0010011 => [2,1,2,2] => 363
[4,7,8,3,6,2,5,1] => 0010101 => [2,1,1,1,1,1] => 969
[4,8,3,6,7,2,5,1] => 0100101 => [1,1,2,1,1,1] => 984
[4,8,3,7,2,5,6,1] => 0101001 => [1,1,1,1,2,1] => 1023
[5,3,4,8,2,7,6,1] => 1001011 => [1,2,1,1,2] => 603
[5,3,8,2,4,1,7,6] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,2,8,4,1,7,3,6] => 1011010 => [1,1,2,1,1,1] => 984
[6,4,2,5,1,8,7,3] => 1101011 => [2,1,1,1,2] => 603
[6,4,3,5,8,2,1,7] => 1100110 => [2,2,2,1] => 357
[6,3,5,8,7,2,4,1] => 1001101 => [1,2,2,1,1] => 594
[5,8,3,7,2,6,4,1] => 0101011 => [1,1,1,1,1,2] => 1023
[5,7,3,4,8,2,1,6] => 0100110 => [1,1,2,2,1] => 611
[5,8,4,2,3,1,6,7] => 0110100 => [1,2,1,1,2] => 603
[5,8,4,2,3,1,7,6] => 0110101 => [1,2,1,1,1,1] => 969
[6,4,5,3,8,2,1,7] => 1010110 => [1,1,1,1,2,1] => 1023
[6,4,8,5,3,7,2,1] => 1011011 => [1,1,2,1,2] => 611
[6,4,3,8,5,7,2,1] => 1101011 => [2,1,1,1,2] => 603
[6,4,2,8,5,3,1,7] => 1101110 => [2,1,3,1] => 262
[6,4,2,7,3,1,8,5] => 1101101 => [2,1,2,1,1] => 594
[6,4,3,7,8,5,2,1] => 1100111 => [2,2,3] => 153
[6,4,5,3,7,1,8,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,7,4,2,3,1,6,8] => 0110100 => [1,2,1,1,2] => 603
[5,6,3,7,1,8,2,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,6,3,4,7,1,8,2] => 0100101 => [1,1,2,1,1,1] => 984
[5,6,3,4,8,2,1,7] => 0100110 => [1,1,2,2,1] => 611
[6,3,5,7,4,8,2,1] => 1001011 => [1,2,1,1,2] => 603
[6,3,5,4,7,8,2,1] => 1010011 => [1,1,1,2,2] => 622
[6,4,3,5,7,1,8,2] => 1100101 => [2,2,1,1,1] => 582
[6,4,2,5,1,7,3,8] => 1101010 => [2,1,1,1,1,1] => 969
[5,3,7,2,4,1,6,8] => 1010100 => [1,1,1,1,1,2] => 1023
[5,3,4,7,2,6,1,8] => 1001010 => [1,2,1,1,1,1] => 969
[4,7,3,6,2,5,8,1] => 0101001 => [1,1,1,1,2,1] => 1023
[4,7,3,6,8,2,5,1] => 0100101 => [1,1,2,1,1,1] => 984
[4,6,7,3,5,8,2,1] => 0010011 => [2,1,2,2] => 363
[4,5,7,8,3,6,2,1] => 0001011 => [3,1,1,2] => 259
[4,5,8,3,6,7,2,1] => 0010011 => [2,1,2,2] => 363
[4,5,8,3,7,2,6,1] => 0010101 => [2,1,1,1,1,1] => 969
[5,3,4,6,8,2,1,7] => 1000110 => [1,3,2,1] => 259
[5,3,6,8,2,1,4,7] => 1001100 => [1,2,2,2] => 363
[5,3,6,7,1,8,2,4] => 1001010 => [1,2,1,1,1,1] => 969
[5,3,4,6,7,1,8,2] => 1000101 => [1,3,1,1,1] => 427
[4,6,3,5,7,8,2,1] => 0100011 => [1,1,3,2] => 265
[4,5,7,3,6,8,2,1] => 0010011 => [2,1,2,2] => 363
[4,5,6,8,3,7,2,1] => 0001011 => [3,1,1,2] => 259
[5,7,4,8,6,3,2,1] => 0101111 => [1,1,1,4] => 148
[3,2,6,5,1,8,7,4] => 1011011 => [1,1,2,1,2] => 611
[3,5,6,7,2,8,4,1] => 0001011 => [3,1,1,2] => 259
[7,6,9,8,5,4,3,2,1] => 10111111 => [1,1,6] => 50
[6,5,4,9,8,7,3,2,1] => 11011111 => [2,1,5] => 138
[6,8,5,9,7,4,3,2,1] => 01011111 => [1,1,1,5] => 244
[6,7,8,9,5,4,3,2,1] => 00011111 => [3,5] => 56
[5,4,3,2,9,8,7,6,1] => 11101111 => [3,1,4] => 220
[5,8,4,3,9,7,6,2,1] => 01101111 => [1,2,1,4] => 534
[5,4,7,6,9,8,3,2,1] => 10101111 => [1,1,1,1,4] => 934
[5,7,8,4,9,6,3,2,1] => 00101111 => [2,1,1,4] => 534
[5,6,7,8,9,4,3,2,1] => 00001111 => [4,4] => 70
[4,8,3,2,1,9,7,6,5] => 01110111 => [1,3,1,3] => 676
[4,3,7,6,2,9,8,5,1] => 10110111 => [1,1,2,1,3] => 1626
[4,7,8,3,2,9,6,5,1] => 00110111 => [2,2,1,3] => 934
[4,6,3,8,5,9,7,2,1] => 01010111 => [1,1,1,1,1,3] => 2790
[4,6,7,8,3,9,5,2,1] => 00010111 => [3,1,1,3] => 676
[4,5,6,7,8,9,3,2,1] => 00000111 => [5,3] => 56
[3,2,1,6,5,4,9,8,7] => 11011011 => [2,1,2,1,2] => 2194
[3,6,2,8,5,1,9,7,4] => 01011011 => [1,1,1,2,1,2] => 3790
[3,6,7,8,2,1,9,5,4] => 00011011 => [3,2,1,2] => 924
[3,2,5,4,7,6,9,8,1] => 10101011 => [1,1,1,1,1,1,2] => 6344
[3,5,7,2,8,4,9,6,1] => 00101011 => [2,1,1,1,1,2] => 3696
[3,5,6,7,8,2,9,4,1] => 00001011 => [4,1,1,2] => 526
[3,4,5,6,7,8,9,2,1] => 00000011 => [6,2] => 28
[2,4,6,7,1,8,3,9,5] => 00010101 => [3,1,1,1,1,1] => 2592
[2,4,5,6,7,8,1,9,3] => 00000101 => [5,1,1,1] => 240
[1,6,2,5,3,4,8,7] => 0101001 => [1,1,1,1,2,1] => 1023
[1,3,8,2,4,6,5,7] => 0010010 => [2,1,2,1,1] => 594
[1,7,2,3,6,4,8,5] => 0100101 => [1,1,2,1,1,1] => 984
[1,6,8,2,5,3,7,4] => 0010101 => [2,1,1,1,1,1] => 969
[1,8,2,5,3,4,7,6] => 0101001 => [1,1,1,1,2,1] => 1023
[1,8,2,3,6,4,7,5] => 0100101 => [1,1,2,1,1,1] => 984
[1,3,5,2,8,4,7,6] => 0010101 => [2,1,1,1,1,1] => 969
[1,2,7,3,5,4,6,8] => 0010100 => [2,1,1,1,2] => 603
[1,8,2,7,3,4,6,5] => 0101001 => [1,1,1,1,2,1] => 1023
[1,5,8,2,3,7,4,6] => 0010010 => [2,1,2,1,1] => 594
[1,6,8,2,3,5,4,7] => 0010010 => [2,1,2,1,1] => 594
[5,3,6,1,2,4,8,7] => 1010001 => [1,1,1,3,1] => 450
[7,1,5,8,4,2,3,6] => 1001100 => [1,2,2,2] => 363
[8,1,5,7,4,2,3,6] => 1001100 => [1,2,2,2] => 363
[7,1,4,5,8,2,3,6] => 1000100 => [1,3,1,2] => 259
[7,4,1,6,2,8,3,5] => 1101010 => [2,1,1,1,1,1] => 969
[8,4,1,7,2,6,3,5] => 1101010 => [2,1,1,1,1,1] => 969
[8,1,4,7,5,2,3,6] => 1001100 => [1,2,2,2] => 363
[8,1,5,4,7,2,3,6] => 1010100 => [1,1,1,1,1,2] => 1023
[2,1,7,5,8,3,4,6] => 1010100 => [1,1,1,1,1,2] => 1023
[7,1,5,4,8,2,3,6] => 1010100 => [1,1,1,1,1,2] => 1023
[7,1,4,8,5,2,3,6] => 1001100 => [1,2,2,2] => 363
[6,4,1,7,2,3,8,5] => 1101001 => [2,1,1,2,1] => 603
[7,8,3,1,2,4,6,5] => 0110001 => [1,2,3,1] => 262
[8,7,1,6,4,2,3,5] => 1101100 => [2,1,2,2] => 363
[8,6,1,7,4,2,3,5] => 1101100 => [2,1,2,2] => 363
[7,6,1,8,4,2,3,5] => 1101100 => [2,1,2,2] => 363
[7,3,8,1,2,4,6,5] => 1010001 => [1,1,1,3,1] => 450
[8,3,7,1,2,4,6,5] => 1010001 => [1,1,1,3,1] => 450
[8,3,6,1,2,4,7,5] => 1010001 => [1,1,1,3,1] => 450
[8,3,7,5,1,2,4,6] => 1011000 => [1,1,2,3] => 265
[7,3,6,1,2,4,8,5] => 1010001 => [1,1,1,3,1] => 450
[6,7,1,8,4,2,3,5] => 0101100 => [1,1,1,2,2] => 622
[6,8,1,7,4,2,3,5] => 0101100 => [1,1,1,2,2] => 622
[7,1,8,5,4,2,3,6] => 1011100 => [1,1,3,2] => 265
[7,1,8,4,5,2,3,6] => 1010100 => [1,1,1,1,1,2] => 1023
[2,1,7,8,5,3,4,6] => 1001100 => [1,2,2,2] => 363
[7,6,3,1,2,4,8,5] => 1110001 => [3,3,1] => 110
[6,1,2,3,8,7,5,4] => 1000111 => [1,3,3] => 110
[6,8,1,4,2,3,7,5] => 0101001 => [1,1,1,1,2,1] => 1023
[6,8,3,1,2,7,4,5] => 0110010 => [1,2,2,1,1] => 594
[6,7,3,1,2,8,4,5] => 0110010 => [1,2,2,1,1] => 594
[6,7,1,4,2,3,8,5] => 0101001 => [1,1,1,1,2,1] => 1023
[4,3,6,8,5,7,1,2] => 1001010 => [1,2,1,1,1,1] => 969
[6,1,2,5,4,8,3,7] => 1001010 => [1,2,1,1,1,1] => 969
[3,2,8,5,4,1,7,6] => 1011101 => [1,1,3,1,1] => 439
[7,8,2,1,4,6,3,5] => 0110010 => [1,2,2,1,1] => 594
[7,2,1,5,8,3,4,6] => 1100100 => [2,2,1,2] => 357
[2,4,8,5,1,3,6,7] => 0011000 => [2,2,3] => 153
[3,5,6,1,8,4,2,7] => 0010110 => [2,1,1,2,1] => 603
[1,3,6,8,7,4,2,5] => 0001110 => [3,3,1] => 110
[1,2,8,5,7,3,4,6] => 0010100 => [2,1,1,1,2] => 603
[2,6,1,5,8,3,4,7] => 0100100 => [1,1,2,1,2] => 611
[5,7,1,6,8,4,3,2] => 0100111 => [1,1,2,3] => 265
[4,8,1,2,5,7,3,6] => 0100010 => [1,1,3,1,1] => 439
[8,4,6,2,5,7,3,1] => 1010011 => [1,1,1,2,2] => 622
[8,3,6,4,7,2,5,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[3,8,1,4,7,2,5,6] => 0100100 => [1,1,2,1,2] => 611
[1,7,8,4,6,2,5,3] => 0010101 => [2,1,1,1,1,1] => 969
[3,7,4,8,5,1,6,2] => 0101101 => [1,1,1,2,1,1] => 1006
[3,7,1,6,5,4,8,2] => 0101101 => [1,1,1,2,1,1] => 1006
[2,7,3,1,5,8,4,6] => 0110010 => [1,2,2,1,1] => 594
[2,7,4,6,8,1,3,5] => 0100100 => [1,1,2,1,2] => 611
[2,7,5,8,6,4,1,3] => 0101110 => [1,1,1,3,1] => 450
[8,2,6,7,5,4,3,1] => 1001111 => [1,2,4] => 85
[3,8,7,1,6,4,5,2] => 0110101 => [1,2,1,1,1,1] => 969
[3,6,8,2,7,4,1,5] => 0010110 => [2,1,1,2,1] => 603
[1,5,2,8,7,4,6,3] => 0101101 => [1,1,1,2,1,1] => 1006
[3,4,2,7,8,1,6,5] => 0100101 => [1,1,2,1,1,1] => 984
[4,1,3,7,5,6,8,2] => 1001001 => [1,2,1,2,1] => 603
[6,3,8,1,7,4,2,5] => 1010110 => [1,1,1,1,2,1] => 1023
[6,5,8,7,1,4,2,3] => 1011010 => [1,1,2,1,1,1] => 984
[4,1,7,3,8,5,2,6] => 1010110 => [1,1,1,1,2,1] => 1023
[3,6,1,4,5,8,2,7] => 0100010 => [1,1,3,1,1] => 439
[1,6,7,4,5,3,8,2] => 0010101 => [2,1,1,1,1,1] => 969
[6,1,7,3,5,4,8,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,3,1,2,5,8,4,7] => 1100010 => [2,3,1,1] => 256
[1,4,7,2,8,5,3,6] => 0010110 => [2,1,1,2,1] => 603
[5,6,8,7,2,4,1,3] => 0011010 => [2,2,1,1,1] => 582
[6,8,5,7,1,2,4,3] => 0101001 => [1,1,1,1,2,1] => 1023
[2,8,4,1,7,5,6,3] => 0110101 => [1,2,1,1,1,1] => 969
[8,2,4,3,7,5,6,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,8,2,1,5,7,3,4] => 0110010 => [1,2,2,1,1] => 594
[7,2,8,4,1,6,3,5] => 1011010 => [1,1,2,1,1,1] => 984
[1,2,4,8,6,5,3,7] => 0001110 => [3,3,1] => 110
[7,1,5,6,8,4,3,2] => 1000111 => [1,3,3] => 110
[2,7,8,1,4,6,3,5] => 0010010 => [2,1,2,1,1] => 594
[4,8,2,5,7,1,6,3] => 0100101 => [1,1,2,1,1,1] => 984
[4,1,6,8,5,3,7,2] => 1001101 => [1,2,2,1,1] => 594
[5,2,6,4,8,3,1,7] => 1010110 => [1,1,1,1,2,1] => 1023
[6,7,1,3,4,5,8,2] => 0100001 => [1,1,4,1] => 148
[1,7,3,2,4,8,5,6] => 0110010 => [1,2,2,1,1] => 594
[1,3,6,5,2,8,4,7] => 0011010 => [2,2,1,1,1] => 582
[7,1,6,5,3,4,8,2] => 1011001 => [1,1,2,2,1] => 611
[6,3,4,2,8,7,5,1] => 1010111 => [1,1,1,1,3] => 450
[4,3,8,7,5,2,6,1] => 1011101 => [1,1,3,1,1] => 439
[6,8,7,4,2,3,5,1] => 0111001 => [1,3,2,1] => 259
[3,6,4,5,2,8,7,1] => 0101011 => [1,1,1,1,1,2] => 1023
[8,6,1,3,5,4,2,7] => 1100110 => [2,2,2,1] => 357
[5,3,8,6,1,2,4,7] => 1011000 => [1,1,2,3] => 265
[2,5,6,3,4,8,7,1] => 0010011 => [2,1,2,2] => 363
[2,5,3,6,8,7,4,1] => 0100111 => [1,1,2,3] => 265
[4,8,7,3,5,2,6,1] => 0110101 => [1,2,1,1,1,1] => 969
[3,8,7,2,6,4,5,1] => 0110101 => [1,2,1,1,1,1] => 969
[6,3,5,4,8,7,2,1] => 1010111 => [1,1,1,1,3] => 450
[4,3,8,6,1,5,2,7] => 1011010 => [1,1,2,1,1,1] => 984
[4,7,6,2,5,3,8,1] => 0110101 => [1,2,1,1,1,1] => 969
[7,5,2,6,8,1,4,3] => 1100101 => [2,2,1,1,1] => 582
[8,5,2,7,1,4,3,6] => 1101010 => [2,1,1,1,1,1] => 969
[1,8,5,3,6,2,4,7] => 0110100 => [1,2,1,1,2] => 603
[5,1,7,2,4,3,8,6] => 1010101 => [1,1,1,1,1,1,1] => 1623
[1,5,3,4,8,6,2,7] => 0100110 => [1,1,2,2,1] => 611
[5,4,1,3,8,6,2,7] => 1100110 => [2,2,2,1] => 357
[5,1,8,6,3,4,2,7] => 1011010 => [1,1,2,1,1,1] => 984
[4,5,2,8,3,7,6,1] => 0101011 => [1,1,1,1,1,2] => 1023
[8,2,3,7,6,4,5,1] => 1001101 => [1,2,2,1,1] => 594
[5,8,2,4,7,6,3,1] => 0100111 => [1,1,2,3] => 265
[6,8,2,5,3,4,7,1] => 0101001 => [1,1,1,1,2,1] => 1023
[7,2,5,6,4,8,1,3] => 1001010 => [1,2,1,1,1,1] => 969
[1,6,7,4,8,2,3,5] => 0010100 => [2,1,1,1,2] => 603
[7,1,3,5,8,2,6,4] => 1000101 => [1,3,1,1,1] => 427
[8,2,1,3,5,6,7,4] => 1100001 => [2,4,1] => 85
[6,3,1,4,7,5,8,2] => 1100101 => [2,2,1,1,1] => 582
[4,1,3,8,2,6,7,5] => 1001001 => [1,2,1,2,1] => 603
[2,8,3,6,7,5,4,1] => 0100111 => [1,1,2,3] => 265
[3,1,7,2,8,5,4,6] => 1010110 => [1,1,1,1,2,1] => 1023
[3,6,1,4,7,2,8,5] => 0100101 => [1,1,2,1,1,1] => 984
[1,5,8,4,7,2,3,6] => 0010100 => [2,1,1,1,2] => 603
[7,1,3,6,2,8,4,5] => 1001010 => [1,2,1,1,1,1] => 969
[6,2,7,4,5,8,1,3] => 1010010 => [1,1,1,2,1,1] => 1006
[2,1,8,4,5,7,3,6] => 1010010 => [1,1,1,2,1,1] => 1006
[1,8,5,7,3,2,4,6] => 0101100 => [1,1,1,2,2] => 622
[2,1,8,5,4,3,6,7] => 1011100 => [1,1,3,2] => 265
[2,7,4,1,5,3,8,6] => 0110101 => [1,2,1,1,1,1] => 969
[7,4,8,6,2,3,1,5] => 1011010 => [1,1,2,1,1,1] => 984
[2,7,1,4,6,3,8,5] => 0100101 => [1,1,2,1,1,1] => 984
[4,7,5,6,8,1,3,2] => 0100101 => [1,1,2,1,1,1] => 984
[7,1,3,2,8,5,4,6] => 1010110 => [1,1,1,1,2,1] => 1023
[2,8,5,4,1,3,6,7] => 0111000 => [1,3,3] => 110
[5,1,7,4,2,3,8,6] => 1011001 => [1,1,2,2,1] => 611
[3,8,6,5,1,4,2,7] => 0111010 => [1,3,1,1,1] => 427
[1,3,4,8,6,5,2,7] => 0001110 => [3,3,1] => 110
[4,1,8,6,5,3,2,7] => 1011110 => [1,1,4,1] => 148
[4,8,5,2,7,3,6,1] => 0110101 => [1,2,1,1,1,1] => 969
[7,2,8,5,3,6,4,1] => 1011011 => [1,1,2,1,2] => 611
[5,2,8,4,3,7,6,1] => 1011011 => [1,1,2,1,2] => 611
[8,4,7,5,2,3,6,1] => 1011001 => [1,1,2,2,1] => 611
[7,5,2,8,4,6,1,3] => 1101010 => [2,1,1,1,1,1] => 969
[5,7,4,3,6,2,8,1] => 0110101 => [1,2,1,1,1,1] => 969
[6,7,5,1,2,8,3,4] => 0110010 => [1,2,2,1,1] => 594
[5,2,6,8,3,4,7,1] => 1001001 => [1,2,1,2,1] => 603
[7,6,2,4,5,8,3,1] => 1100011 => [2,3,2] => 153
[3,6,8,4,7,2,5,1] => 0010101 => [2,1,1,1,1,1] => 969
[7,6,3,8,4,2,5,1] => 1101101 => [2,1,2,1,1] => 594
[2,6,3,8,4,7,5,1] => 0101011 => [1,1,1,1,1,2] => 1023
[7,2,3,6,5,8,4,1] => 1001011 => [1,2,1,1,2] => 603
[6,2,7,5,8,3,1,4] => 1010110 => [1,1,1,1,2,1] => 1023
[2,8,3,6,4,5,7,1] => 0101001 => [1,1,1,1,2,1] => 1023
[2,1,5,6,8,3,7,4] => 1000101 => [1,3,1,1,1] => 427
[5,8,1,2,6,4,7,3] => 0100101 => [1,1,2,1,1,1] => 984
[1,6,8,3,2,7,4,5] => 0011010 => [2,2,1,1,1] => 582
[6,5,7,2,8,4,1,3] => 1010110 => [1,1,1,1,2,1] => 1023
[7,5,1,2,8,4,6,3] => 1100101 => [2,2,1,1,1] => 582
[5,4,8,3,6,2,7,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,8,2,7,4,3,6,1] => 0101101 => [1,1,1,2,1,1] => 1006
[6,4,5,8,2,7,3,1] => 1001011 => [1,2,1,1,2] => 603
[5,7,3,6,4,8,2,1] => 0101011 => [1,1,1,1,1,2] => 1023
[1,5,6,4,8,2,7,3] => 0010101 => [2,1,1,1,1,1] => 969
[3,1,5,6,4,8,7,2] => 1001011 => [1,2,1,1,2] => 603
[1,3,6,2,5,7,8,4] => 0010001 => [2,1,3,1] => 262
[1,4,6,3,5,7,8,2] => 0010001 => [2,1,3,1] => 262
[3,5,1,6,4,7,8,2] => 0101001 => [1,1,1,1,2,1] => 1023
[3,6,1,4,2,7,8,5] => 0101001 => [1,1,1,1,2,1] => 1023
[2,4,6,3,1,7,8,5] => 0011001 => [2,2,2,1] => 357
[1,3,6,5,2,7,8,4] => 0011001 => [2,2,2,1] => 357
[1,2,6,4,3,8,5,7] => 0011010 => [2,2,1,1,1] => 582
[1,2,6,3,5,8,7,4] => 0010011 => [2,1,2,2] => 363
[2,3,5,1,8,4,7,6] => 0010101 => [2,1,1,1,1,1] => 969
[2,3,6,1,8,5,4,7] => 0010110 => [2,1,1,2,1] => 603
[1,2,7,4,6,8,3,5] => 0010010 => [2,1,2,1,1] => 594
[2,3,7,5,1,8,4,6] => 0011010 => [2,2,1,1,1] => 582
[4,7,2,5,3,8,6,1] => 0101011 => [1,1,1,1,1,2] => 1023
[3,1,7,5,4,8,6,2] => 1011011 => [1,1,2,1,2] => 611
[1,2,7,6,4,8,5,3] => 0011011 => [2,2,1,2] => 357
[1,2,7,3,6,8,5,4] => 0010011 => [2,1,2,2] => 363
[2,3,6,1,8,5,7,4] => 0010101 => [2,1,1,1,1,1] => 969
[3,1,5,4,8,7,6,2] => 1010111 => [1,1,1,1,3] => 450
[1,2,5,8,4,7,3,6] => 0001010 => [3,1,1,1,1] => 427
[1,2,6,8,5,4,7,3] => 0001101 => [3,2,1,1] => 256
[1,3,6,8,5,2,7,4] => 0001101 => [3,2,1,1] => 256
[3,5,7,4,8,2,1,6] => 0010110 => [2,1,1,2,1] => 603
[2,4,7,6,8,3,1,5] => 0010110 => [2,1,1,2,1] => 603
[1,4,6,8,3,5,2,7] => 0001010 => [3,1,1,1,1] => 427
[1,3,6,8,5,2,4,7] => 0001100 => [3,2,2] => 153
[1,2,6,8,5,4,3,7] => 0001110 => [3,3,1] => 110
[1,2,5,8,4,3,7,6] => 0001101 => [3,2,1,1] => 256
[1,3,5,8,2,4,7,6] => 0001001 => [3,1,2,1] => 259
[1,3,6,8,2,5,4,7] => 0001010 => [3,1,1,1,1] => 427
[1,4,6,8,3,2,5,7] => 0001100 => [3,2,2] => 153
[3,5,7,4,8,1,2,6] => 0010100 => [2,1,1,1,2] => 603
[4,6,1,7,5,8,2,3] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,3,6,7,5,8,1,4] => 0001010 => [3,1,1,1,1] => 427
[1,3,7,5,6,8,2,4] => 0010010 => [2,1,2,1,1] => 594
[2,3,6,5,8,1,7,4] => 0010101 => [2,1,1,1,1,1] => 969
[3,4,6,2,8,1,7,5] => 0010101 => [2,1,1,1,1,1] => 969
[3,5,4,6,8,2,1,7] => 0100110 => [1,1,2,2,1] => 611
[3,5,4,6,8,1,2,7] => 0100100 => [1,1,2,1,2] => 611
[1,2,4,7,5,8,3,6] => 0001010 => [3,1,1,1,1] => 427
[1,2,6,7,4,8,3,5] => 0001010 => [3,1,1,1,1] => 427
[3,6,4,7,1,8,5,2] => 0101011 => [1,1,1,1,1,2] => 1023
[1,2,6,7,3,8,5,4] => 0001011 => [3,1,1,2] => 259
[1,2,5,7,3,8,6,4] => 0001011 => [3,1,1,2] => 259
[3,1,5,7,6,8,4,2] => 1001011 => [1,2,1,1,2] => 603
[3,5,4,6,8,2,7,1] => 0100101 => [1,1,2,1,1,1] => 984
[4,2,6,1,8,7,5,3] => 1010111 => [1,1,1,1,3] => 450
[3,1,6,5,8,7,4,2] => 1010111 => [1,1,1,1,3] => 450
[2,3,6,5,8,7,1,4] => 0010110 => [2,1,1,2,1] => 603
[1,2,7,4,6,8,5,3] => 0010011 => [2,1,2,2] => 363
[1,2,7,5,6,8,4,3] => 0010011 => [2,1,2,2] => 363
[3,1,6,7,5,8,4,2] => 1001011 => [1,2,1,1,2] => 603
[4,6,2,7,5,8,3,1] => 0101011 => [1,1,1,1,1,2] => 1023
[3,5,7,4,8,2,6,1] => 0010101 => [2,1,1,1,1,1] => 969
[2,4,7,6,8,3,5,1] => 0010101 => [2,1,1,1,1,1] => 969
[1,4,6,8,3,5,7,2] => 0001001 => [3,1,2,1] => 259
[1,3,6,8,2,5,7,4] => 0001001 => [3,1,2,1] => 259
[1,3,5,8,2,7,4,6] => 0001010 => [3,1,1,1,1] => 427
[1,2,5,8,4,7,6,3] => 0001011 => [3,1,1,2] => 259
[1,2,4,8,7,3,6,5] => 0001101 => [3,2,1,1] => 256
[1,2,5,8,7,4,3,6] => 0001110 => [3,3,1] => 110
[1,3,5,8,7,2,4,6] => 0001100 => [3,2,2] => 153
[2,3,7,6,8,5,1,4] => 0010110 => [2,1,1,2,1] => 603
[5,7,1,2,8,6,4,3] => 0100111 => [1,1,2,3] => 265
[3,1,7,6,8,5,4,2] => 1010111 => [1,1,1,1,3] => 450
[1,2,6,8,5,7,4,3] => 0001011 => [3,1,1,2] => 259
[1,2,5,8,7,4,6,3] => 0001101 => [3,2,1,1] => 256
[1,2,4,8,7,6,3,5] => 0001110 => [3,3,1] => 110
[6,4,5,7,2,8,1,3] => 1001010 => [1,2,1,1,1,1] => 969
[5,3,4,7,2,8,1,6] => 1001010 => [1,2,1,1,1,1] => 969
[3,2,7,4,6,8,1,5] => 1010010 => [1,1,1,2,1,1] => 1006
[5,3,6,2,7,1,4,8] => 1010100 => [1,1,1,1,1,2] => 1023
[2,6,3,4,7,1,5,8] => 0100100 => [1,1,2,1,2] => 611
[2,7,3,4,5,8,1,6] => 0100010 => [1,1,3,1,1] => 439
[3,7,4,5,6,8,1,2] => 0100010 => [1,1,3,1,1] => 439
[2,5,7,3,6,8,1,4] => 0010010 => [2,1,2,1,1] => 594
[4,7,6,2,3,8,1,5] => 0110010 => [1,2,2,1,1] => 594
[7,3,5,2,4,8,1,6] => 1010010 => [1,1,1,2,1,1] => 1006
[7,6,2,4,5,8,1,3] => 1100010 => [2,3,1,1] => 256
[6,5,2,3,4,8,1,7] => 1100010 => [2,3,1,1] => 256
[5,3,1,2,8,4,7,6] => 1100101 => [2,2,1,1,1] => 582
[6,5,2,3,7,1,4,8] => 1100100 => [2,2,1,2] => 357
[5,2,1,7,3,4,6,8] => 1101000 => [2,1,1,3] => 262
[5,2,1,8,3,4,6,7] => 1101000 => [2,1,1,3] => 262
[6,3,2,8,4,5,7,1] => 1101001 => [2,1,1,2,1] => 603
[7,3,1,2,8,4,6,5] => 1100101 => [2,2,1,1,1] => 582
[6,4,1,3,8,5,7,2] => 1100101 => [2,2,1,1,1] => 582
[6,2,3,1,8,4,7,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,3,5,2,7,1,4,6] => 1010100 => [1,1,1,1,1,2] => 1023
[8,6,2,4,7,1,5,3] => 1100101 => [2,2,1,1,1] => 582
[8,5,2,3,6,1,4,7] => 1100100 => [2,2,1,2] => 357
[8,2,1,7,3,4,5,6] => 1101000 => [2,1,1,3] => 262
[8,6,3,7,2,4,5,1] => 1101001 => [2,1,1,2,1] => 603
[7,1,6,2,3,4,5,8] => 1010000 => [1,1,1,4] => 148
[8,2,7,3,4,5,6,1] => 1010001 => [1,1,1,3,1] => 450
[8,1,6,2,3,4,5,7] => 1010000 => [1,1,1,4] => 148
[8,1,7,3,4,5,6,2] => 1010001 => [1,1,1,3,1] => 450
[8,6,1,7,2,4,5,3] => 1101001 => [2,1,1,2,1] => 603
[8,1,5,7,2,3,6,4] => 1001001 => [1,2,1,2,1] => 603
[1,7,5,8,2,3,6,4] => 0101001 => [1,1,1,1,2,1] => 1023
[7,2,1,8,3,4,5,6] => 1101000 => [2,1,1,3] => 262
[7,3,8,2,4,5,6,1] => 1010001 => [1,1,1,3,1] => 450
[7,2,8,3,4,5,6,1] => 1010001 => [1,1,1,3,1] => 450
[1,7,8,3,4,5,6,2] => 0010001 => [2,1,3,1] => 262
[1,4,5,8,3,6,7,2] => 0001001 => [3,1,2,1] => 259
[2,5,7,1,8,3,6,4] => 0010101 => [2,1,1,1,1,1] => 969
[6,2,7,1,8,4,5,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,7,1,3,8,5,6,2] => 0100101 => [1,1,2,1,1,1] => 984
[1,6,2,8,4,5,7,3] => 0101001 => [1,1,1,1,2,1] => 1023
[4,1,3,6,8,2,7,5] => 1000101 => [1,3,1,1,1] => 427
[5,3,4,6,8,2,7,1] => 1000101 => [1,3,1,1,1] => 427
[4,6,3,8,7,1,2,5] => 0101100 => [1,1,1,2,2] => 622
[6,4,5,8,7,1,2,3] => 1001100 => [1,2,2,2] => 363
[5,3,4,8,7,1,2,6] => 1001100 => [1,2,2,2] => 363
[3,2,8,7,1,4,6,5] => 1011001 => [1,1,2,2,1] => 611
[3,1,8,7,2,4,6,5] => 1011001 => [1,1,2,2,1] => 611
[5,3,7,6,1,2,4,8] => 1011000 => [1,1,2,3] => 265
[1,8,3,7,2,4,5,6] => 0101000 => [1,1,1,1,3] => 450
[3,8,1,7,2,4,5,6] => 0101000 => [1,1,1,1,3] => 450
[6,8,2,3,5,1,4,7] => 0100100 => [1,1,2,1,2] => 611
[4,7,8,2,6,1,3,5] => 0010100 => [2,1,1,1,2] => 603
[6,2,8,7,1,4,5,3] => 1011001 => [1,1,2,2,1] => 611
[3,8,7,1,4,5,6,2] => 0110001 => [1,2,3,1] => 262
[2,8,6,1,3,4,5,7] => 0110000 => [1,2,4] => 85
[2,7,6,1,3,4,5,8] => 0110000 => [1,2,4] => 85
[1,7,6,2,3,4,5,8] => 0110000 => [1,2,4] => 85
[1,8,6,2,3,4,5,7] => 0110000 => [1,2,4] => 85
[2,8,7,3,4,5,6,1] => 0110001 => [1,2,3,1] => 262
[3,8,7,2,4,5,6,1] => 0110001 => [1,2,3,1] => 262
[7,8,3,6,2,4,5,1] => 0101001 => [1,1,1,1,2,1] => 1023
[1,5,8,7,2,3,6,4] => 0011001 => [2,2,2,1] => 357
[8,7,6,1,3,4,5,2] => 1110001 => [3,3,1] => 110
[3,6,2,4,7,1,8,5] => 0100101 => [1,1,2,1,1,1] => 984
[3,4,7,2,5,1,8,6] => 0010101 => [2,1,1,1,1,1] => 969
[2,1,6,4,8,5,3,7] => 1010110 => [1,1,1,1,2,1] => 1023
[4,1,8,5,3,2,7,6] => 1011101 => [1,1,3,1,1] => 439
[3,6,2,5,7,1,4,8] => 0100100 => [1,1,2,1,2] => 611
[1,2,8,3,7,5,4,6] => 0010110 => [2,1,1,2,1] => 603
[6,1,3,2,8,5,4,7] => 1010110 => [1,1,1,1,2,1] => 1023
[5,6,1,2,8,4,3,7] => 0100110 => [1,1,2,2,1] => 611
[1,6,3,8,7,4,2,5] => 0101110 => [1,1,1,3,1] => 450
[4,3,8,1,2,6,7,5] => 1010001 => [1,1,1,3,1] => 450
[3,1,2,4,5,6,7,8,9] => 10000000 => [1,7] => 8
[2,4,1,3,5,6,7,8,9] => 01000000 => [1,1,6] => 50
[2,3,5,1,4,6,7,8,9] => 00100000 => [2,1,5] => 138
[2,3,4,6,1,5,7,8,9] => 00010000 => [3,1,4] => 220
[2,3,4,5,7,1,6,8,9] => 00001000 => [4,1,3] => 220
[2,3,4,5,6,8,1,7,9] => 00000100 => [5,1,2] => 138
[3,6,8,7,1,2,5,4] => 0011001 => [2,2,2,1] => 357
[6,2,8,5,4,7,1,3] => 1011010 => [1,1,2,1,1,1] => 984
[6,5,7,2,4,8,1,3] => 1010010 => [1,1,1,2,1,1] => 1006
[3,4,1,6,5,8,7,2] => 0101011 => [1,1,1,1,1,2] => 1023
[3,5,1,2,4,8,7,6] => 0100011 => [1,1,3,2] => 265
[3,7,5,2,1,4,6,8] => 0111000 => [1,3,3] => 110
[3,8,5,2,7,4,1,6] => 0110110 => [1,2,1,2,1] => 603
[5,2,8,4,7,3,1,6] => 1010110 => [1,1,1,1,2,1] => 1023
[5,2,7,4,1,3,6,8] => 1011000 => [1,1,2,3] => 265
[4,3,5,1,2,8,7,6] => 1010011 => [1,1,1,2,2] => 622
[3,1,4,6,2,8,7,5] => 1001011 => [1,2,1,1,2] => 603
[1,4,6,5,2,8,7,3] => 0011011 => [2,2,1,2] => 357
[3,4,5,6,1,8,7,2] => 0001011 => [3,1,1,2] => 259
[3,4,5,8,7,2,1,6] => 0001110 => [3,3,1] => 110
[1,4,7,2,6,3,5,8] => 0010100 => [2,1,1,1,2] => 603
[8,4,7,5,2,1,6,3] => 1011101 => [1,1,3,1,1] => 439
[8,1,4,7,2,3,6,5] => 1001001 => [1,2,1,2,1] => 603
[1,8,5,7,3,4,6,2] => 0101001 => [1,1,1,1,2,1] => 1023
[6,3,5,1,7,4,2,8] => 1010110 => [1,1,1,1,2,1] => 1023
[6,1,4,8,7,3,2,5] => 1001110 => [1,2,3,1] => 262
[6,4,8,5,7,1,2,3] => 1010100 => [1,1,1,1,1,2] => 1023
[5,4,8,1,6,3,2,7] => 1010110 => [1,1,1,1,2,1] => 1023
[1,4,8,6,3,7,2,5] => 0011010 => [2,2,1,1,1] => 582
[5,4,7,6,3,8,1,2] => 1011010 => [1,1,2,1,1,1] => 984
[4,6,3,7,5,8,1,2] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,1,3,5,8,6,2,7] => 1000110 => [1,3,2,1] => 259
[5,7,4,3,8,1,2,6] => 0110100 => [1,2,1,1,2] => 603
[1,4,8,3,7,6,5,2] => 0010111 => [2,1,1,3] => 262
[4,3,8,2,1,6,5,7] => 1011010 => [1,1,2,1,1,1] => 984
[3,8,4,2,7,1,5,6] => 0110100 => [1,2,1,1,2] => 603
[3,1,2,5,7,6,4,8] => 1000110 => [1,3,2,1] => 259
[1,8,2,7,6,5,4,3] => 0101111 => [1,1,1,4] => 148
[3,8,1,6,7,5,4,2] => 0100111 => [1,1,2,3] => 265
[3,7,2,6,8,5,1,4] => 0100110 => [1,1,2,2,1] => 611
[7,2,3,8,5,6,1,4] => 1001010 => [1,2,1,1,1,1] => 969
[8,2,1,7,5,6,4,3] => 1101011 => [2,1,1,1,2] => 603
[8,1,3,6,5,7,4,2] => 1001011 => [1,2,1,1,2] => 603
[8,2,4,3,6,1,5,7] => 1010100 => [1,1,1,1,1,2] => 1023
[1,7,8,5,4,3,6,2] => 0011101 => [2,3,1,1] => 256
[1,8,4,5,3,2,6,7] => 0101100 => [1,1,1,2,2] => 622
[7,8,5,4,3,1,6,2] => 0111101 => [1,4,1,1] => 145
[7,1,6,3,4,2,5,8] => 1010100 => [1,1,1,1,1,2] => 1023
[6,8,7,1,4,2,5,3] => 0110101 => [1,2,1,1,1,1] => 969
[3,6,1,4,2,7,5,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,4,1,8,5,7,6,2] => 0101011 => [1,1,1,1,1,2] => 1023
[3,6,5,1,2,8,4,7] => 0110010 => [1,2,2,1,1] => 594
[3,8,5,6,7,2,1,4] => 0100110 => [1,1,2,2,1] => 611
[8,1,7,6,2,4,3,5] => 1011010 => [1,1,2,1,1,1] => 984
[8,5,6,1,4,2,3,7] => 1010100 => [1,1,1,1,1,2] => 1023
[8,6,5,4,7,1,3,2] => 1110101 => [3,1,1,1,1] => 427
[1,6,4,5,7,2,3,8] => 0100100 => [1,1,2,1,2] => 611
[8,3,6,1,7,2,4,5] => 1010100 => [1,1,1,1,1,2] => 1023
[1,8,6,5,7,3,4,2] => 0110101 => [1,2,1,1,1,1] => 969
[1,7,5,3,6,8,4,2] => 0110011 => [1,2,2,2] => 363
[7,4,1,6,5,8,3,2] => 1101011 => [2,1,1,1,2] => 603
[4,1,5,8,7,6,3,2] => 1001111 => [1,2,4] => 85
[1,2,5,8,6,7,3,4] => 0001010 => [3,1,1,1,1] => 427
[4,2,1,5,8,7,3,6] => 1100110 => [2,2,2,1] => 357
[5,2,4,6,1,7,3,8] => 1001010 => [1,2,1,1,1,1] => 969
[1,5,3,6,8,7,4,2] => 0100111 => [1,1,2,3] => 265
[3,5,4,6,1,8,2,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,1,5,7,6,8,2,4] => 1001010 => [1,2,1,1,1,1] => 969
[1,4,5,6,8,7,2,3] => 0000110 => [4,2,1] => 85
[1,4,6,3,7,2,8,5] => 0010101 => [2,1,1,1,1,1] => 969
[1,7,3,6,5,2,8,4] => 0101101 => [1,1,1,2,1,1] => 1006
[8,6,2,5,4,1,7,3] => 1101101 => [2,1,2,1,1] => 594
[3,7,2,6,5,4,1,8] => 0101110 => [1,1,1,3,1] => 450
[7,6,2,5,4,3,1,8] => 1101110 => [2,1,3,1] => 262
[4,7,5,2,6,3,1,8] => 0110110 => [1,2,1,2,1] => 603
[3,2,6,4,7,5,1,8] => 1010110 => [1,1,1,1,2,1] => 1023
[6,2,3,7,5,4,1,8] => 1001110 => [1,2,3,1] => 262
[1,3,4,7,6,2,8,5] => 0001101 => [3,2,1,1] => 256
[2,8,3,6,1,7,5,4] => 0101011 => [1,1,1,1,1,2] => 1023
[8,7,2,5,1,6,4,3] => 1101011 => [2,1,1,1,2] => 603
[3,8,2,6,5,1,7,4] => 0101101 => [1,1,1,2,1,1] => 1006
[7,8,2,5,4,1,6,3] => 0101101 => [1,1,1,2,1,1] => 1006
[4,8,5,2,6,1,7,3] => 0110101 => [1,2,1,1,1,1] => 969
[4,5,1,3,7,2,8,6] => 0100101 => [1,1,2,1,1,1] => 984
[6,1,3,7,5,2,8,4] => 1001101 => [1,2,2,1,1] => 594
[7,1,3,6,2,8,5,4] => 1001011 => [1,2,1,1,2] => 603
[8,1,3,6,2,7,5,4] => 1001011 => [1,2,1,1,2] => 603
[1,2,4,7,3,8,6,5] => 0001011 => [3,1,1,2] => 259
[7,1,8,2,6,5,4,3] => 1010111 => [1,1,1,1,3] => 450
[3,1,8,6,2,7,5,4] => 1011011 => [1,1,2,1,2] => 611
[4,1,7,8,2,6,5,3] => 1001011 => [1,2,1,1,2] => 603
[5,6,1,8,2,7,4,3] => 0101011 => [1,1,1,1,1,2] => 1023
[4,2,7,8,1,6,5,3] => 1001011 => [1,2,1,1,2] => 603
[3,2,8,6,1,7,5,4] => 1011011 => [1,1,2,1,2] => 611
[7,2,8,1,6,5,4,3] => 1010111 => [1,1,1,1,3] => 450
[1,8,7,2,6,5,4,3] => 0110111 => [1,2,1,3] => 262
[2,8,7,1,6,5,4,3] => 0110111 => [1,2,1,3] => 262
[3,8,7,1,6,5,4,2] => 0110111 => [1,2,1,3] => 262
[4,8,7,5,1,6,3,2] => 0111011 => [1,3,1,2] => 259
[6,7,8,5,1,4,3,2] => 0011011 => [2,2,1,2] => 357
[5,6,3,8,4,1,7,2] => 0101101 => [1,1,1,2,1,1] => 1006
[7,3,8,5,4,1,6,2] => 1011101 => [1,1,3,1,1] => 439
[3,4,8,6,5,1,7,2] => 0011101 => [2,3,1,1] => 256
[8,3,7,5,1,6,4,2] => 1011011 => [1,1,2,1,2] => 611
[1,4,8,6,2,7,5,3] => 0011011 => [2,2,1,2] => 357
[8,4,6,7,1,5,3,2] => 1001011 => [1,2,1,1,2] => 603
[5,6,4,7,8,1,3,2] => 0100101 => [1,1,2,1,1,1] => 984
[3,4,6,5,1,2,8,7] => 0011001 => [2,2,2,1] => 357
[7,3,5,1,2,8,6,4] => 1010011 => [1,1,1,2,2] => 622
[1,4,6,2,3,8,7,5] => 0010011 => [2,1,2,2] => 363
[1,3,2,7,4,8,6,5] => 0101011 => [1,1,1,1,1,2] => 1023
[7,2,1,6,3,8,5,4] => 1101011 => [2,1,1,1,2] => 603
[2,3,1,7,6,4,8,5] => 0101101 => [1,1,1,2,1,1] => 1006
[4,5,2,1,7,3,8,6] => 0110101 => [1,2,1,1,1,1] => 969
[5,6,7,1,2,8,4,3] => 0010011 => [2,1,2,2] => 363
[4,7,5,1,2,8,6,3] => 0110011 => [1,2,2,2] => 363
[3,7,1,6,2,8,5,4] => 0101011 => [1,1,1,1,1,2] => 1023
[7,6,1,2,8,5,4,3] => 1100111 => [2,2,3] => 153
[2,7,1,3,8,6,5,4] => 0100111 => [1,1,2,3] => 265
[8,6,1,2,7,5,4,3] => 1100111 => [2,2,3] => 153
[1,7,2,3,8,6,5,4] => 0100111 => [1,1,2,3] => 265
[8,7,1,2,6,5,4,3] => 1100111 => [2,2,3] => 153
[7,8,1,2,6,5,4,3] => 0100111 => [1,1,2,3] => 265
[3,8,1,6,2,7,5,4] => 0101011 => [1,1,1,1,1,2] => 1023
[4,8,5,1,2,7,6,3] => 0110011 => [1,2,2,2] => 363
[5,6,8,1,2,7,4,3] => 0010011 => [2,1,2,2] => 363
[2,1,3,7,4,8,6,5] => 1001011 => [1,2,1,1,2] => 603
[4,2,7,3,6,8,1,5] => 1010010 => [1,1,1,2,1,1] => 1006
[5,3,6,4,2,8,1,7] => 1011010 => [1,1,2,1,1,1] => 984
[4,1,5,3,8,2,7,6] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,2,6,4,7,3,1,8] => 1010110 => [1,1,1,1,2,1] => 1023
[2,6,3,4,7,5,1,8] => 0100110 => [1,1,2,2,1] => 611
[2,6,3,5,4,8,1,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,7,4,3,5,8,1,6] => 0110010 => [1,2,2,1,1] => 594
[7,3,6,4,2,8,1,5] => 1011010 => [1,1,2,1,1,1] => 984
[7,6,4,5,2,8,1,3] => 1101010 => [2,1,1,1,1,1] => 969
[5,4,3,1,8,2,7,6] => 1110101 => [3,1,1,1,1] => 427
[6,5,4,2,7,3,1,8] => 1110110 => [3,1,2,1] => 259
[5,4,1,7,2,6,3,8] => 1101010 => [2,1,1,1,1,1] => 969
[5,4,1,8,3,2,6,7] => 1101100 => [2,1,2,2] => 363
[6,5,2,8,3,4,7,1] => 1101001 => [2,1,1,2,1] => 603
[7,4,2,1,8,3,6,5] => 1110101 => [3,1,1,1,1] => 427
[6,5,3,4,8,2,7,1] => 1100101 => [2,2,1,1,1] => 582
[6,1,5,3,8,2,7,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,6,3,1,8,2,7,5] => 0110101 => [1,2,1,1,1,1] => 969
[5,8,4,2,7,3,1,6] => 0110110 => [1,2,1,2,1] => 603
[8,2,6,4,7,3,1,5] => 1010110 => [1,1,1,1,2,1] => 1023
[8,6,2,5,7,4,1,3] => 1100110 => [2,2,2,1] => 357
[8,5,3,2,6,4,1,7] => 1110110 => [3,1,2,1] => 259
[8,3,1,7,2,5,4,6] => 1101010 => [2,1,1,1,1,1] => 969
[7,5,2,6,4,3,1,8] => 1101110 => [2,1,3,1] => 262
[7,1,6,2,5,4,3,8] => 1010110 => [1,1,1,1,2,1] => 1023
[8,1,7,3,5,6,4,2] => 1010011 => [1,1,1,2,2] => 622
[8,6,1,7,4,5,2,3] => 1101010 => [2,1,1,1,1,1] => 969
[8,1,3,7,2,6,5,4] => 1001011 => [1,2,1,1,2] => 603
[1,7,6,8,3,2,4,5] => 0101100 => [1,1,1,2,2] => 622
[7,1,5,8,4,2,6,3] => 1001101 => [1,2,2,1,1] => 594
[7,3,8,4,5,2,6,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,2,8,5,3,4,6,1] => 1011001 => [1,1,2,2,1] => 611
[6,1,8,4,3,2,5,7] => 1011100 => [1,1,3,2] => 265
[6,1,7,4,2,5,3,8] => 1011010 => [1,1,2,1,1,1] => 984
[1,2,7,3,4,6,5,8] => 0010010 => [2,1,2,1,1] => 594
[1,7,8,4,3,5,6,2] => 0011001 => [2,2,2,1] => 357
[1,6,2,8,3,5,7,4] => 0101001 => [1,1,1,1,2,1] => 1023
[2,6,1,7,3,5,4,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,1,5,8,4,2,6,7] => 1001100 => [1,2,2,2] => 363
[4,3,1,6,8,2,7,5] => 1100101 => [2,2,1,1,1] => 582
[5,7,4,8,3,2,1,6] => 0101110 => [1,1,1,3,1] => 450
[5,4,8,2,7,3,1,6] => 1010110 => [1,1,1,1,2,1] => 1023
[5,2,8,7,3,4,1,6] => 1011010 => [1,1,2,1,1,1] => 984
[6,4,7,5,3,2,1,8] => 1011110 => [1,1,4,1] => 148
[1,8,3,7,6,2,4,5] => 0101100 => [1,1,1,2,2] => 622
[5,8,3,2,6,4,1,7] => 0110110 => [1,2,1,2,1] => 603
[6,8,2,4,7,5,1,3] => 0100110 => [1,1,2,2,1] => 611
[7,3,8,2,6,4,1,5] => 1010110 => [1,1,1,1,2,1] => 1023
[4,6,8,2,7,3,1,5] => 0010110 => [2,1,1,2,1] => 603
[2,6,8,7,3,4,1,5] => 0011010 => [2,2,1,1,1] => 582
[7,2,8,6,3,5,1,4] => 1011010 => [1,1,2,1,1,1] => 984
[6,8,1,7,2,5,4,3] => 0101011 => [1,1,1,1,1,2] => 1023
[3,8,7,4,5,6,1,2] => 0110010 => [1,2,2,1,1] => 594
[2,8,6,4,3,5,1,7] => 0111010 => [1,3,1,1,1] => 427
[2,7,6,3,5,4,1,8] => 0110110 => [1,2,1,2,1] => 603
[1,7,6,5,2,4,3,8] => 0111010 => [1,3,1,1,1] => 427
[1,8,6,5,3,2,4,7] => 0111100 => [1,4,2] => 85
[3,8,7,4,6,2,5,1] => 0110101 => [1,2,1,1,1,1] => 969
[5,8,3,7,6,2,4,1] => 0101101 => [1,1,1,2,1,1] => 1006
[7,1,8,6,5,2,3,4] => 1011100 => [1,1,3,2] => 265
[8,4,7,5,3,2,1,6] => 1011110 => [1,1,4,1] => 148
[8,7,2,5,4,3,1,6] => 1101110 => [2,1,3,1] => 262
[6,8,3,2,5,4,7,1] => 0110101 => [1,2,1,1,1,1] => 969
[6,8,4,5,2,3,7,1] => 0101001 => [1,1,1,1,2,1] => 1023
[1,5,7,8,4,3,6,2] => 0001101 => [3,2,1,1] => 256
[6,3,8,1,5,4,7,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,2,1,8,5,4,7,3] => 1101101 => [2,1,2,1,1] => 594
[2,6,3,1,7,5,4,8] => 0110110 => [1,2,1,2,1] => 603
[2,6,5,7,4,1,3,8] => 0101100 => [1,1,1,2,2] => 622
[2,5,6,8,4,3,7,1] => 0001101 => [3,2,1,1] => 256
[2,4,7,5,8,1,6,3] => 0010101 => [2,1,1,1,1,1] => 969
[2,5,4,7,1,8,6,3] => 0101011 => [1,1,1,1,1,2] => 1023
[5,2,1,8,7,6,4,3] => 1101111 => [2,1,4] => 85
[4,8,5,7,6,1,3,2] => 0101101 => [1,1,1,2,1,1] => 1006
[4,8,6,7,5,3,1,2] => 0101110 => [1,1,1,3,1] => 450
[4,8,7,5,6,2,3,1] => 0110101 => [1,2,1,1,1,1] => 969
[6,5,4,8,2,1,7,3] => 1101101 => [2,1,2,1,1] => 594
[5,8,4,7,2,6,3,1] => 0101011 => [1,1,1,1,1,2] => 1023
[1,5,7,4,8,2,6,3] => 0010101 => [2,1,1,1,1,1] => 969
[1,5,7,3,2,8,6,4] => 0011011 => [2,2,1,2] => 357
[5,8,3,2,7,6,4,1] => 0110111 => [1,2,1,3] => 262
[5,2,1,4,3,6,7,8] => 1101000 => [2,1,1,3] => 262
[3,5,7,4,2,6,1,8] => 0011010 => [2,2,1,1,1] => 582
[3,6,4,5,1,2,7,8] => 0101000 => [1,1,1,1,3] => 450
[4,2,1,6,5,3,7,8] => 1101100 => [2,1,2,2] => 363
[4,2,1,5,7,6,3,8] => 1100110 => [2,2,2,1] => 357
[4,3,5,1,7,6,2,8] => 1010110 => [1,1,1,1,2,1] => 1023
[3,5,4,7,1,6,2,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,4,7,5,6,1,2,8] => 0010100 => [2,1,1,1,2] => 603
[3,4,5,8,6,7,1,2] => 0001010 => [3,1,1,1,1] => 427
[3,5,4,6,1,8,7,2] => 0101011 => [1,1,1,1,1,2] => 1023
[4,3,5,1,6,8,7,2] => 1010011 => [1,1,1,2,2] => 622
[4,2,1,5,6,8,7,3] => 1100011 => [2,3,2] => 153
[7,6,5,4,3,2,9,1,8] => 11111010 => [5,1,1,1] => 240
[6,5,4,3,9,2,8,1,7] => 11101010 => [3,1,1,1,1,1] => 2592
[6,5,4,3,2,8,1,7,9] => 11110100 => [4,1,1,2] => 526
[5,4,9,3,8,2,7,1,6] => 10101010 => [1,1,1,1,1,1,1,1] => 10176
[5,4,3,8,2,7,1,6,9] => 11010100 => [2,1,1,1,1,2] => 3696
[5,4,3,2,7,9,1,6,8] => 11100100 => [3,2,1,2] => 924
[5,4,3,2,7,1,6,8,9] => 11101000 => [3,1,1,3] => 676
[4,8,3,7,2,6,1,5,9] => 01010100 => [1,1,1,1,1,1,2] => 6344
[4,3,7,2,6,9,1,5,8] => 10100100 => [1,1,1,2,1,2] => 3790
[4,3,7,2,6,1,5,8,9] => 10101000 => [1,1,1,1,1,3] => 2790
[4,3,2,6,8,1,5,7,9] => 11001000 => [2,2,1,3] => 934
[4,3,2,6,1,5,7,8,9] => 11010000 => [2,1,1,4] => 534
[3,6,9,2,5,8,1,4,7] => 00100100 => [2,1,2,1,2] => 2194
[3,6,2,5,8,1,4,7,9] => 01001000 => [1,1,2,1,3] => 1626
[3,6,2,5,1,4,7,8,9] => 01010000 => [1,1,1,1,4] => 934
[3,2,5,7,9,1,4,6,8] => 10001000 => [1,3,1,3] => 676
[3,2,5,7,1,4,6,8,9] => 10010000 => [1,2,1,4] => 534
[3,2,5,1,4,6,7,8,9] => 10100000 => [1,1,1,5] => 244
[2,4,6,8,1,3,5,7,9] => 00010000 => [3,1,4] => 220
[2,4,6,1,3,5,7,8,9] => 00100000 => [2,1,5] => 138
[2,1,7,3,8,4,6,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,1,8,2,7,3,6,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,1,7,2,8,3,6,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,1,3,2,8,4,6,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,1,8,2,4,3,6,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,1,7,2,5,3,6,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,1,5,2,8,3,6,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,1,7,2,8,3,6,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,1,8,2,7,3,6,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,1,8,2,4,3,7,6] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,1,6,2,4,3,7,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,1,8,2,4,3,7,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,1,8,2,5,3,7,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,1,6,2,5,3,7,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,1,6,2,7,3,5,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,1,8,2,7,3,5,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,1,7,2,8,3,5,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,1,7,2,5,3,8,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,1,7,2,4,3,8,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,1,6,2,4,3,8,7] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,1,5,2,4,3,8,6] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,1,6,2,4,3,8,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,1,6,2,5,3,8,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,1,6,2,8,3,5,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,1,8,2,6,3,5,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[1,8,2,7,5,4,6,3] => 0101101 => [1,1,1,2,1,1] => 1006
[1,8,2,7,4,3,5,6] => 0101100 => [1,1,1,2,2] => 622
[1,8,6,4,7,2,3,5] => 0110100 => [1,2,1,1,2] => 603
[1,8,4,2,6,3,5,7] => 0110100 => [1,2,1,1,2] => 603
[7,4,8,1,5,2,3,6] => 1010100 => [1,1,1,1,1,2] => 1023
[4,1,7,2,6,3,5,8] => 1010100 => [1,1,1,1,1,2] => 1023
[5,1,7,4,3,6,2,8] => 1011010 => [1,1,2,1,1,1] => 984
[7,5,8,3,2,4,1,6] => 1011010 => [1,1,2,1,1,1] => 984
[1,8,5,4,3,6,2,7] => 0111010 => [1,3,1,1,1] => 427
[1,8,5,4,3,7,2,6] => 0111010 => [1,3,1,1,1] => 427
[1,8,5,4,7,2,6,3] => 0110101 => [1,2,1,1,1,1] => 969
[1,8,4,2,5,3,7,6] => 0110101 => [1,2,1,1,1,1] => 969
[1,8,5,4,2,6,7,3] => 0111001 => [1,3,2,1] => 259
[7,4,8,2,1,3,5,6] => 1011000 => [1,1,2,3] => 265
[4,1,7,3,2,5,6,8] => 1011000 => [1,1,2,3] => 265
[7,5,4,8,2,3,6,1] => 1101001 => [2,1,1,2,1] => 603
[7,3,8,1,5,6,2,4] => 1010010 => [1,1,1,2,1,1] => 1006
[3,1,7,2,6,8,4,5] => 1010010 => [1,1,1,2,1,1] => 1006
[5,1,7,4,2,6,8,3] => 1011001 => [1,1,2,2,1] => 611
[4,1,6,3,2,5,8,7] => 1011001 => [1,1,2,2,1] => 611
[4,3,1,6,2,5,7,8] => 1101000 => [2,1,1,3] => 262
[6,5,4,3,7,1,8,2] => 1110101 => [3,1,1,1,1] => 427
[6,3,2,8,5,7,1,4] => 1101010 => [2,1,1,1,1,1] => 969
[6,5,4,3,8,2,7,1] => 1110101 => [3,1,1,1,1] => 427
[6,5,4,3,8,7,1,2] => 1110110 => [3,1,2,1] => 259
[7,6,3,8,5,4,1,2] => 1101110 => [2,1,3,1] => 262
[5,4,8,2,1,7,3,6] => 1011010 => [1,1,2,1,1,1] => 984
[6,4,2,8,5,1,3,7] => 1101100 => [2,1,2,2] => 363
[7,6,4,8,5,1,2,3] => 1101100 => [2,1,2,2] => 363
[7,2,8,6,3,1,4,5] => 1011100 => [1,1,3,2] => 265
[7,2,8,6,1,5,3,4] => 1011010 => [1,1,2,1,1,1] => 984
[2,1,7,8,3,6,4,5] => 1001010 => [1,2,1,1,1,1] => 969
[6,4,1,7,8,2,3,5] => 1100100 => [2,2,1,2] => 357
[4,2,1,6,7,3,5,8] => 1100100 => [2,2,1,2] => 357
[4,3,1,5,2,7,6,8] => 1101010 => [2,1,1,1,1,1] => 969
[5,4,2,7,3,8,1,6] => 1101010 => [2,1,1,1,1,1] => 969
[4,1,5,3,2,8,6,7] => 1011010 => [1,1,2,1,1,1] => 984
[3,1,6,2,8,7,4,5] => 1010110 => [1,1,1,1,2,1] => 1023
[6,3,1,7,8,5,2,4] => 1100110 => [2,2,2,1] => 357
[6,5,4,1,7,8,3,2] => 1110011 => [3,2,2] => 153
[5,4,3,1,6,7,2,8] => 1110010 => [3,2,1,1] => 256
[6,5,4,2,7,8,3,1] => 1110011 => [3,2,2] => 153
[5,4,2,6,3,8,7,1] => 1101011 => [2,1,1,1,2] => 603
[4,3,1,5,2,6,8,7] => 1101001 => [2,1,1,2,1] => 603
[5,4,2,1,6,7,8,3] => 1110001 => [3,3,1] => 110
[5,4,3,1,6,7,8,2] => 1110001 => [3,3,1] => 110
[6,3,8,1,2,5,7,4] => 1010001 => [1,1,1,3,1] => 450
[3,6,7,1,2,5,8,4] => 0010001 => [2,1,3,1] => 262
[7,8,3,1,2,5,6,4] => 0110001 => [1,2,3,1] => 262
[7,8,1,3,2,4,6,5] => 0101001 => [1,1,1,1,2,1] => 1023
[7,8,2,1,3,5,4,6] => 0110010 => [1,2,2,1,1] => 594
[5,2,3,7,1,8,6,4] => 1001011 => [1,2,1,1,2] => 603
[2,5,3,6,1,8,7,4] => 0101011 => [1,1,1,1,1,2] => 1023
[2,6,7,3,1,8,4,5] => 0011010 => [2,2,1,1,1] => 582
[2,6,7,1,3,5,4,8] => 0010010 => [2,1,2,1,1] => 594
[6,2,8,3,1,7,4,5] => 1011010 => [1,1,2,1,1,1] => 984
[3,2,5,7,1,8,4,6] => 1001010 => [1,2,1,1,1,1] => 969
[4,3,1,2,7,8,6,5] => 1100011 => [2,3,2] => 153
[5,1,2,7,3,6,4,8] => 1001010 => [1,2,1,1,1,1] => 969
[5,1,4,7,8,2,3,6] => 1000100 => [1,3,1,2] => 259
[5,3,4,7,8,6,1,2] => 1000110 => [1,3,2,1] => 259
[3,5,4,6,8,7,1,2] => 0100110 => [1,1,2,2,1] => 611
[1,5,4,6,8,2,3,7] => 0100100 => [1,1,2,1,2] => 611
[1,6,7,3,2,4,8,5] => 0011001 => [2,2,2,1] => 357
[1,5,3,6,2,7,8,4] => 0101001 => [1,1,1,1,2,1] => 1023
[5,1,3,7,2,6,8,4] => 1001001 => [1,2,1,2,1] => 603
[5,2,4,7,8,1,6,3] => 1000101 => [1,3,1,1,1] => 427
[4,2,5,7,6,1,8,3] => 1001101 => [1,2,2,1,1] => 594
[4,5,2,8,6,1,7,3] => 0101101 => [1,1,1,2,1,1] => 1006
[5,3,1,8,2,6,7,4] => 1101001 => [2,1,1,2,1] => 603
[6,1,8,3,2,4,7,5] => 1011001 => [1,1,2,2,1] => 611
[4,3,5,7,6,8,1,2] => 1001010 => [1,2,1,1,1,1] => 969
[4,1,5,7,6,2,3,8] => 1001100 => [1,2,2,2] => 363
[4,5,1,8,6,2,3,7] => 0101100 => [1,1,1,2,2] => 622
[5,2,1,8,3,6,4,7] => 1101010 => [2,1,1,1,1,1] => 969
[3,4,2,1,8,7,5,6] => 0110110 => [1,2,1,2,1] => 603
[7,6,5,4,2,1,8,3] => 1111101 => [5,1,1] => 37
[7,6,5,4,8,1,3,2] => 1110101 => [3,1,1,1,1] => 427
[8,7,6,5,4,2,1,9,3] => 11111101 => [6,1,1] => 50
[7,6,5,8,2,1,4,3] => 1101101 => [2,1,2,1,1] => 594
[8,7,6,5,3,2,1,9,4] => 11111101 => [6,1,1] => 50
[8,7,6,4,3,2,1,9,5] => 11111101 => [6,1,1] => 50
[8,7,5,4,3,2,1,9,6] => 11111101 => [6,1,1] => 50
[8,5,4,3,2,1,7,6] => 1111101 => [5,1,1] => 37
[8,6,5,4,3,2,1,9,7] => 11111101 => [6,1,1] => 50
[7,6,5,4,3,2,1,9,8] => 11111101 => [6,1,1] => 50
[7,6,5,4,1,8,3,2] => 1111011 => [4,1,2] => 85
[8,7,6,5,4,9,1,3,2] => 11110101 => [4,1,1,1,1] => 888
[7,6,5,2,8,1,4,3] => 1110101 => [3,1,1,1,1] => 427
[8,7,6,5,9,2,1,4,3] => 11101101 => [3,1,2,1,1] => 1560
[7,6,5,8,4,1,3,2] => 1101101 => [2,1,2,1,1] => 594
[8,7,6,9,3,2,1,5,4] => 11011101 => [2,1,3,1,1] => 1580
[7,6,8,5,2,1,4,3] => 1011101 => [1,1,3,1,1] => 439
[8,7,9,4,3,2,1,6,5] => 10111101 => [1,1,4,1,1] => 912
[7,8,6,3,2,1,5,4] => 0111101 => [1,4,1,1] => 145
[8,9,5,4,3,2,1,7,6] => 01111101 => [1,5,1,1] => 240
[8,7,4,3,2,1,6,5] => 1111101 => [5,1,1] => 37
[9,6,5,4,3,2,1,8,7] => 11111101 => [6,1,1] => 50
[7,8,2,4,5,1,3,6] => 0100100 => [1,1,2,1,2] => 611
[4,6,7,2,5,1,3,8] => 0010100 => [2,1,1,1,2] => 603
[7,8,1,3,2,4,5,6] => 0101000 => [1,1,1,1,3] => 450
[7,8,4,1,5,2,3,6] => 0110100 => [1,2,1,1,2] => 603
[3,6,7,2,1,4,5,8] => 0011000 => [2,2,3] => 153
[5,2,3,6,1,4,7,8] => 1001000 => [1,2,1,3] => 262
[2,5,3,6,1,4,7,8] => 0101000 => [1,1,1,1,3] => 450
[2,6,7,3,1,4,5,8] => 0011000 => [2,2,3] => 153
[4,6,7,1,5,2,3,8] => 0010100 => [2,1,1,1,2] => 603
[4,6,7,3,5,8,1,2] => 0010010 => [2,1,2,1,1] => 594
[6,4,7,1,5,2,3,8] => 1010100 => [1,1,1,1,1,2] => 1023
[6,2,7,3,1,4,5,8] => 1011000 => [1,1,2,3] => 265
[3,2,5,6,1,4,7,8] => 1001000 => [1,2,1,3] => 262
[3,5,2,6,1,4,7,8] => 0101000 => [1,1,1,1,3] => 450
[5,1,4,6,7,2,3,8] => 1000100 => [1,3,1,2] => 259
[3,5,4,6,7,8,1,2] => 0100010 => [1,1,3,1,1] => 439
[1,5,4,6,7,2,3,8] => 0100100 => [1,1,2,1,2] => 611
[1,6,7,3,2,4,5,8] => 0011000 => [2,2,3] => 153
[1,5,3,6,2,4,7,8] => 0101000 => [1,1,1,1,3] => 450
[5,1,3,6,2,4,7,8] => 1001000 => [1,2,1,3] => 262
[5,2,4,6,7,1,3,8] => 1000100 => [1,3,1,2] => 259
[2,5,4,6,7,1,3,8] => 0100100 => [1,1,2,1,2] => 611
[2,6,7,4,5,1,3,8] => 0010100 => [2,1,1,1,2] => 603
[6,2,7,4,5,1,3,8] => 1010100 => [1,1,1,1,1,2] => 1023
[4,2,5,6,7,1,3,8] => 1000100 => [1,3,1,2] => 259
[4,5,2,6,7,1,3,8] => 0100100 => [1,1,2,1,2] => 611
[5,3,1,6,2,4,7,8] => 1101000 => [2,1,1,3] => 262
[6,1,7,3,2,4,5,8] => 1011000 => [1,1,2,3] => 265
[6,1,7,4,5,2,3,8] => 1010100 => [1,1,1,1,1,2] => 1023
[6,3,7,4,5,8,1,2] => 1010010 => [1,1,1,2,1,1] => 1006
[5,4,1,6,7,2,3,8] => 1100100 => [2,2,1,2] => 357
[5,2,1,6,3,4,7,8] => 1101000 => [2,1,1,3] => 262
[7,3,2,5,4,1,6,8] => 1101100 => [2,1,2,2] => 363
[7,3,5,4,2,1,6,8] => 1011100 => [1,1,3,2] => 265
[7,3,5,2,4,1,6,8] => 1010100 => [1,1,1,1,1,2] => 1023
[7,6,5,2,1,4,3,8] => 1111010 => [4,1,1,1] => 145
[1,3,6,7,5,2,8,4] => 0001101 => [3,2,1,1] => 256
[7,3,4,1,6,2,5,8] => 1010100 => [1,1,1,1,1,2] => 1023
[7,3,4,1,6,5,2,8] => 1010110 => [1,1,1,1,2,1] => 1023
[7,3,4,1,5,6,2,8] => 1010010 => [1,1,1,2,1,1] => 1006
[7,3,2,5,1,6,4,8] => 1101010 => [2,1,1,1,1,1] => 969
[7,6,5,4,1,3,2,8] => 1111010 => [4,1,1,1] => 145
[7,3,4,1,5,2,6,8] => 1010100 => [1,1,1,1,1,2] => 1023
[1,3,6,7,2,5,8,4] => 0001001 => [3,1,2,1] => 259
[1,7,4,6,2,8,5,3] => 0101011 => [1,1,1,1,1,2] => 1023
[4,3,1,7,2,6,8,5] => 1101001 => [2,1,1,2,1] => 603
[5,6,1,4,7,3,8,2] => 0100101 => [1,1,2,1,1,1] => 984
[5,3,2,1,7,4,8,6] => 1110101 => [3,1,1,1,1] => 427
[1,3,4,5,8,7,2,6] => 0000110 => [4,2,1] => 85
[6,3,4,5,8,1,7,2] => 1000101 => [1,3,1,1,1] => 427
[2,4,5,1,6,8,7,3] => 0010011 => [2,1,2,2] => 363
[3,1,2,5,6,8,7,4] => 1000011 => [1,4,2] => 85
[4,3,2,5,6,8,1,7] => 1100010 => [2,3,1,1] => 256
[3,7,5,4,6,8,1,2] => 0110010 => [1,2,2,1,1] => 594
[3,1,4,6,5,8,2,7] => 1001010 => [1,2,1,1,1,1] => 969
[2,3,4,5,8,6,1,7] => 0000110 => [4,2,1] => 85
[2,3,4,5,8,1,7,6] => 0000101 => [4,1,1,1] => 145
[3,1,4,6,5,8,7,2] => 1001011 => [1,2,1,1,2] => 603
[3,7,5,4,6,8,2,1] => 0110011 => [1,2,2,2] => 363
[5,6,1,4,7,2,8,3] => 0100101 => [1,1,2,1,1,1] => 984
[4,3,1,7,5,6,8,2] => 1101001 => [2,1,1,2,1] => 603
[4,3,1,7,6,5,8,2] => 1101101 => [2,1,2,1,1] => 594
[3,1,4,6,7,8,5,2] => 1000011 => [1,4,2] => 85
[1,4,5,2,6,8,7,3] => 0010011 => [2,1,2,2] => 363
[3,7,5,2,6,8,1,4] => 0110010 => [1,2,2,1,1] => 594
[3,7,5,2,6,8,4,1] => 0110011 => [1,2,2,2] => 363
[5,6,1,2,7,4,8,3] => 0100101 => [1,1,2,1,1,1] => 984
[6,3,5,2,4,7,8,1] => 1010001 => [1,1,1,3,1] => 450
[5,3,2,1,4,7,8,6] => 1110001 => [3,3,1] => 110
[5,3,1,4,2,7,8,6] => 1101001 => [2,1,1,2,1] => 603
[5,3,1,2,4,7,8,6] => 1100001 => [2,4,1] => 85
[7,1,5,2,6,8,4,3] => 1010011 => [1,1,1,2,2] => 622
[7,1,5,2,6,8,3,4] => 1010010 => [1,1,1,2,1,1] => 1006
[1,7,4,6,5,8,3,2] => 0101011 => [1,1,1,1,1,2] => 1023
[2,7,4,6,1,8,3,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,7,4,6,1,8,5,3] => 0101011 => [1,1,1,1,1,2] => 1023
[2,3,6,7,1,5,8,4] => 0001001 => [3,1,2,1] => 259
[2,3,6,7,5,1,8,4] => 0001101 => [3,2,1,1] => 256
[4,3,2,6,7,1,8,5] => 1100101 => [2,2,1,1,1] => 582
[7,3,2,5,6,8,1,4] => 1100010 => [2,3,1,1] => 256
[7,1,5,4,6,8,2,3] => 1010010 => [1,1,1,2,1,1] => 1006
[2,7,4,6,5,8,1,3] => 0101010 => [1,1,1,1,1,1,1] => 1623
[7,3,4,5,8,6,1,2] => 1000110 => [1,3,2,1] => 259
[7,3,4,5,8,1,6,2] => 1000101 => [1,3,1,1,1] => 427
[7,3,4,5,8,1,2,6] => 1000100 => [1,3,1,2] => 259
[1,3,4,5,8,6,2,7] => 0000110 => [4,2,1] => 85
[1,3,4,5,8,2,7,6] => 0000101 => [4,1,1,1] => 145
[6,3,4,5,8,2,1,7] => 1000110 => [1,3,2,1] => 259
[6,3,4,5,8,2,7,1] => 1000101 => [1,3,1,1,1] => 427
[7,3,4,5,8,6,2,1] => 1000111 => [1,3,3] => 110
[2,7,4,6,5,8,3,1] => 0101011 => [1,1,1,1,1,2] => 1023
[7,1,5,4,6,8,3,2] => 1010011 => [1,1,1,2,2] => 622
[7,3,2,5,6,8,4,1] => 1100011 => [2,3,2] => 153
[5,7,4,6,1,8,3,2] => 0101011 => [1,1,1,1,1,2] => 1023
[6,3,4,5,8,1,2,7] => 1000100 => [1,3,1,2] => 259
[7,3,4,5,8,2,1,6] => 1000110 => [1,3,2,1] => 259
[7,3,4,5,8,2,6,1] => 1000101 => [1,3,1,1,1] => 427
[4,7,6,1,8,2,5,3] => 0110101 => [1,2,1,1,1,1] => 969
[4,8,6,1,7,5,2,3] => 0110110 => [1,2,1,2,1] => 603
[4,7,8,2,6,1,5,3] => 0010101 => [2,1,1,1,1,1] => 969
[7,6,4,2,8,3,5,1] => 1110101 => [3,1,1,1,1] => 427
[8,6,4,2,7,5,3,1] => 1110111 => [3,1,3] => 110
[8,4,7,3,6,5,1,2] => 1010110 => [1,1,1,1,2,1] => 1023
[8,4,6,1,7,5,3,2] => 1010111 => [1,1,1,1,3] => 450
[6,4,7,1,8,3,2,5] => 1010110 => [1,1,1,1,2,1] => 1023
[7,4,8,3,6,1,5,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,8,4,3,6,2,5,1] => 0110101 => [1,2,1,1,1,1] => 969
[2,1,7,3,5,8,6,4] => 1010011 => [1,1,1,2,2] => 622
[4,2,1,8,3,6,7,5] => 1101001 => [2,1,1,2,1] => 603
[2,1,8,6,3,5,7,4] => 1011001 => [1,1,2,2,1] => 611
[6,2,1,7,3,5,8,4] => 1101001 => [2,1,1,2,1] => 603
[2,7,3,1,4,8,5,6] => 0110010 => [1,2,2,1,1] => 594
[3,2,1,5,7,8,4,6] => 1100010 => [2,3,1,1] => 256
[2,1,7,3,6,8,4,5] => 1010010 => [1,1,1,2,1,1] => 1006
[2,7,3,1,5,6,8,4] => 0110001 => [1,2,3,1] => 262
[4,3,7,5,6,1,8,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,3,6,8,5,1,7,2] => 1001101 => [1,2,2,1,1] => 594
[2,6,1,8,3,5,7,4] => 0101001 => [1,1,1,1,2,1] => 1023
[2,1,6,8,3,7,4,5] => 1001010 => [1,2,1,1,1,1] => 969
[2,1,8,3,5,7,4,6] => 1010010 => [1,1,1,2,1,1] => 1006
[3,2,1,5,6,8,4,7] => 1100010 => [2,3,1,1] => 256
[3,2,1,5,7,4,6,8] => 1100100 => [2,2,1,2] => 357
[8,2,4,1,7,5,6,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[3,8,4,7,5,1,6,2] => 0101101 => [1,1,1,2,1,1] => 1006
[8,4,3,6,1,7,5,2] => 1101011 => [2,1,1,1,2] => 603
[8,2,1,7,3,5,4,6] => 1101010 => [2,1,1,1,1,1] => 969
[5,8,6,3,1,7,4,2] => 0111011 => [1,3,1,2] => 259
[2,4,7,1,8,5,3,6] => 0010110 => [2,1,1,2,1] => 603
[2,4,8,5,1,6,3,7] => 0011010 => [2,2,1,1,1] => 582
[6,2,1,7,3,4,8,5] => 1101001 => [2,1,1,2,1] => 603
[6,2,1,7,8,3,5,4] => 1100101 => [2,2,1,1,1] => 582
[2,1,8,3,6,4,5,7] => 1010100 => [1,1,1,1,1,2] => 1023
[3,2,1,6,7,4,5,8] => 1100100 => [2,2,1,2] => 357
[3,2,1,6,8,4,5,7] => 1100100 => [2,2,1,2] => 357
[2,1,8,3,7,4,5,6] => 1010100 => [1,1,1,1,1,2] => 1023
[2,1,8,3,6,7,4,5] => 1010010 => [1,1,1,2,1,1] => 1006
[2,4,8,5,1,6,7,3] => 0011001 => [2,2,2,1] => 357
[3,2,1,8,4,5,6,7] => 1101000 => [2,1,1,3] => 262
[1,6,8,3,7,2,4,5] => 0010100 => [2,1,1,1,2] => 603
[3,8,1,5,7,2,4,6] => 0100100 => [1,1,2,1,2] => 611
[1,2,6,8,4,7,3,5] => 0001010 => [3,1,1,1,1] => 427
[6,1,5,8,2,4,7,3] => 1001001 => [1,2,1,2,1] => 603
[1,2,4,8,3,6,7,5] => 0001001 => [3,1,2,1] => 259
[4,1,2,7,8,3,6,5] => 1000101 => [1,3,1,1,1] => 427
[3,5,7,4,8,6,1,2] => 0010110 => [2,1,1,2,1] => 603
[5,3,8,4,7,6,1,2] => 1010110 => [1,1,1,1,2,1] => 1023
[8,7,1,2,5,4,6,3] => 1100101 => [2,2,1,1,1] => 582
[5,8,1,2,3,7,6,4] => 0100011 => [1,1,3,2] => 265
[1,2,8,4,3,5,7,6] => 0011001 => [2,2,2,1] => 357
[1,2,5,3,7,6,4,8] => 0010110 => [2,1,1,2,1] => 603
[6,1,2,8,7,4,5,3] => 1001101 => [1,2,2,1,1] => 594
[7,1,6,2,8,4,5,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[1,2,6,3,8,5,4,7] => 0010110 => [2,1,1,2,1] => 603
[1,2,8,5,3,6,4,7] => 0011010 => [2,2,1,1,1] => 582
[1,2,7,3,8,5,4,6] => 0010110 => [2,1,1,2,1] => 603
[4,1,2,7,8,6,3,5] => 1000110 => [1,3,2,1] => 259
[1,6,2,8,4,3,5,7] => 0101100 => [1,1,1,2,2] => 622
[1,6,4,2,7,3,5,8] => 0110100 => [1,2,1,1,2] => 603
[1,8,6,3,2,4,5,7] => 0111000 => [1,3,3] => 110
[1,7,3,2,8,4,5,6] => 0110100 => [1,2,1,1,2] => 603
[3,1,7,8,6,2,4,5] => 1001100 => [1,2,2,2] => 363
[1,8,7,2,4,5,6,3] => 0110001 => [1,2,3,1] => 262
[1,8,7,3,5,6,2,4] => 0110010 => [1,2,2,1,1] => 594
[1,3,2,8,7,4,5,6] => 0101100 => [1,1,1,2,2] => 622
[1,8,3,2,6,4,5,7] => 0110100 => [1,2,1,1,2] => 603
[1,7,6,3,2,4,5,8] => 0111000 => [1,3,3] => 110
[1,2,8,4,3,7,5,6] => 0011010 => [2,2,1,1,1] => 582
[8,5,1,7,2,4,6,3] => 1101001 => [2,1,1,2,1] => 603
[5,3,8,7,4,6,1,2] => 1011010 => [1,1,2,1,1,1] => 984
[3,8,6,4,7,5,1,2] => 0110110 => [1,2,1,2,1] => 603
[6,1,8,2,7,4,5,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[1,2,5,3,8,6,4,7] => 0010110 => [2,1,1,2,1] => 603
[1,2,7,5,3,6,4,8] => 0011010 => [2,2,1,1,1] => 582
[1,2,6,3,7,5,4,8] => 0010110 => [2,1,1,2,1] => 603
[1,2,3,7,5,4,8,6] => 0001101 => [3,2,1,1] => 256
[3,7,4,8,6,5,1,2] => 0101110 => [1,1,1,3,1] => 450
[1,8,2,7,6,4,5,3] => 0101101 => [1,1,1,2,1,1] => 1006
[2,9,8,7,6,5,4,1,3] => 01111110 => [1,6,1] => 50
[2,8,7,6,5,1,4,3] => 0111101 => [1,4,1,1] => 145
[7,1,6,3,2,5,4,8] => 1011010 => [1,1,2,1,1,1] => 984
[2,7,6,3,1,5,8,4] => 0111001 => [1,3,2,1] => 259
[1,8,4,3,6,5,2,7] => 0110110 => [1,2,1,2,1] => 603
[1,8,4,6,5,3,2,7] => 0101110 => [1,1,1,3,1] => 450
[7,4,2,1,6,5,3,8] => 1110110 => [3,1,2,1] => 259
[7,6,1,4,3,5,2,8] => 1101010 => [2,1,1,1,1,1] => 969
[7,4,1,3,5,2,6,8] => 1100100 => [2,2,1,2] => 357
[7,3,1,2,4,6,5,8] => 1100010 => [2,3,1,1] => 256
[1,8,6,3,4,5,2,7] => 0110010 => [1,2,2,1,1] => 594
[1,8,6,7,4,2,5,3] => 0101101 => [1,1,1,2,1,1] => 1006
[3,6,2,1,4,8,5,7] => 0110010 => [1,2,2,1,1] => 594
[3,1,7,2,4,6,8,5] => 1010001 => [1,1,1,3,1] => 450
[3,4,7,1,5,2,8,6] => 0010101 => [2,1,1,1,1,1] => 969
[3,6,7,4,1,5,8,2] => 0011001 => [2,2,2,1] => 357
[4,3,2,7,1,5,8,6] => 1101001 => [2,1,1,2,1] => 603
[3,1,2,8,6,5,4,7] => 1001110 => [1,2,3,1] => 262
[5,4,8,6,1,2,3,7] => 1011000 => [1,1,2,3] => 265
[5,6,8,7,4,3,1,2] => 0011110 => [2,4,1] => 85
[1,8,2,7,4,3,6,5] => 0101101 => [1,1,1,2,1,1] => 1006
[6,5,8,2,3,7,1,4] => 1010010 => [1,1,1,2,1,1] => 1006
[6,4,8,5,3,1,7,2] => 1011101 => [1,1,3,1,1] => 439
[5,7,8,6,1,3,2,4] => 0011010 => [2,2,1,1,1] => 582
[2,4,8,1,6,3,7,5] => 0010101 => [2,1,1,1,1,1] => 969
[3,1,2,8,6,4,7,5] => 1001101 => [1,2,2,1,1] => 594
[5,3,2,6,4,8,1,7] => 1101010 => [2,1,1,1,1,1] => 969
[4,1,6,3,5,8,2,7] => 1010010 => [1,1,1,2,1,1] => 1006
[2,4,5,3,8,6,1,7] => 0010110 => [2,1,1,2,1] => 603
[1,8,5,3,2,7,6,4] => 0111011 => [1,3,1,2] => 259
[1,8,4,5,2,6,7,3] => 0101001 => [1,1,1,1,2,1] => 1023
[4,1,2,7,6,5,8,3] => 1001101 => [1,2,2,1,1] => 594
[2,4,1,6,7,8,5,3] => 0100011 => [1,1,3,2] => 265
[1,8,4,3,6,2,7,5] => 0110101 => [1,2,1,1,1,1] => 969
[5,6,7,3,2,8,1,4] => 0011010 => [2,2,1,1,1] => 582
[2,5,7,3,6,8,4,1] => 0010011 => [2,1,2,2] => 363
[5,3,2,1,4,8,6,7] => 1110010 => [3,2,1,1] => 256
[5,3,1,4,2,8,6,7] => 1101010 => [2,1,1,1,1,1] => 969
[7,6,1,3,8,5,4,2] => 1100111 => [2,2,3] => 153
[3,4,7,8,1,2,6,5] => 0001001 => [3,1,2,1] => 259
[3,6,7,8,1,4,5,2] => 0001001 => [3,1,2,1] => 259
[3,6,2,8,1,5,4,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,3,6,8,5,1,4,7] => 0001100 => [3,2,2] => 153
[3,1,6,4,8,2,5,7] => 1010100 => [1,1,1,1,1,2] => 1023
[7,3,2,6,8,5,1,4] => 1100110 => [2,2,2,1] => 357
[7,3,5,8,4,6,1,2] => 1001010 => [1,2,1,1,1,1] => 969
[7,5,2,8,4,1,6,3] => 1101101 => [2,1,2,1,1] => 594
[7,4,5,8,2,1,3,6] => 1001100 => [1,2,2,2] => 363
[1,8,5,2,4,6,3,7] => 0110010 => [1,2,2,1,1] => 594
[1,8,4,2,3,5,7,6] => 0110001 => [1,2,3,1] => 262
[6,4,2,8,3,5,1,7] => 1101010 => [2,1,1,1,1,1] => 969
[6,3,4,8,2,5,7,1] => 1001001 => [1,2,1,2,1] => 603
[7,5,4,8,3,6,2,1] => 1101011 => [2,1,1,1,2] => 603
[2,7,4,8,5,3,6,1] => 0101101 => [1,1,1,2,1,1] => 1006
[7,1,5,4,8,3,6,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,3,2,5,8,4,6,1] => 1100101 => [2,2,1,1,1] => 582
[8,4,6,3,7,2,5,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,4,6,3,8,5,1,2] => 1010110 => [1,1,1,1,2,1] => 1023
[2,5,6,8,3,4,1,7] => 0001010 => [3,1,1,1,1] => 427
[8,4,6,2,7,5,3,1] => 1010111 => [1,1,1,1,3] => 450
[8,5,6,7,2,4,3,1] => 1001011 => [1,2,1,1,2] => 603
[2,5,6,8,4,3,1,7] => 0001110 => [3,3,1] => 110
[2,5,7,8,4,1,3,6] => 0001100 => [3,2,2] => 153
[6,5,7,8,4,1,3,2] => 1001101 => [1,2,2,1,1] => 594
[7,5,6,8,2,4,1,3] => 1001010 => [1,2,1,1,1,1] => 969
[7,4,6,2,8,5,1,3] => 1010110 => [1,1,1,1,2,1] => 1023
[4,3,2,6,8,5,1,7] => 1100110 => [2,2,2,1] => 357
[3,5,6,8,2,4,1,7] => 0001010 => [3,1,1,1,1] => 427
[3,5,6,8,4,2,1,7] => 0001110 => [3,3,1] => 110
[2,6,7,8,1,4,5,3] => 0001001 => [3,1,2,1] => 259
[3,6,7,8,1,4,2,5] => 0001010 => [3,1,1,1,1] => 427
[3,5,7,8,2,1,4,6] => 0001100 => [3,2,2] => 153
[2,6,7,8,1,4,3,5] => 0001010 => [3,1,1,1,1] => 427
[6,5,7,8,3,1,4,2] => 1001101 => [1,2,2,1,1] => 594
[2,5,7,8,3,1,4,6] => 0001100 => [3,2,2] => 153
[2,4,7,3,8,1,5,6] => 0010100 => [2,1,1,1,2] => 603
[6,4,7,3,8,1,5,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,4,7,3,8,1,2,5] => 1010100 => [1,1,1,1,1,2] => 1023
[7,4,6,3,8,2,1,5] => 1010110 => [1,1,1,1,2,1] => 1023
[6,3,2,5,4,8,1,7] => 1101010 => [2,1,1,1,1,1] => 969
[6,4,5,2,3,8,1,7] => 1010010 => [1,1,1,2,1,1] => 1006
[6,4,5,3,2,8,1,7] => 1011010 => [1,1,2,1,1,1] => 984
[5,4,6,3,8,2,1,7] => 1010110 => [1,1,1,1,2,1] => 1023
[5,4,7,3,8,1,6,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[2,5,7,8,3,1,6,4] => 0001101 => [3,2,1,1] => 256
[4,5,7,8,3,1,2,6] => 0001100 => [3,2,2] => 153
[4,5,6,8,2,3,1,7] => 0001010 => [3,1,1,1,1] => 427
[5,4,6,2,8,3,1,7] => 1010110 => [1,1,1,1,2,1] => 1023
[5,3,2,6,8,4,1,7] => 1100110 => [2,2,2,1] => 357
[5,4,7,2,8,1,3,6] => 1010100 => [1,1,1,1,1,2] => 1023
[4,5,7,8,2,1,3,6] => 0001100 => [3,2,2] => 153
[4,6,7,8,1,3,2,5] => 0001010 => [3,1,1,1,1] => 427
[4,6,7,8,1,3,5,2] => 0001001 => [3,1,2,1] => 259
[2,6,7,8,1,3,5,4] => 0001001 => [3,1,2,1] => 259
[2,6,7,8,1,5,3,4] => 0001010 => [3,1,1,1,1] => 427
[4,6,7,8,1,5,2,3] => 0001010 => [3,1,1,1,1] => 427
[4,6,7,8,1,2,5,3] => 0001001 => [3,1,2,1] => 259
[4,5,7,8,2,1,6,3] => 0001101 => [3,2,1,1] => 256
[5,4,7,2,8,1,6,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,3,2,7,8,1,6,4] => 1100101 => [2,2,1,1,1] => 582
[4,3,2,7,8,1,6,5] => 1100101 => [2,2,1,1,1] => 582
[3,5,7,8,2,1,6,4] => 0001101 => [3,2,1,1] => 256
[3,6,7,8,1,2,5,4] => 0001001 => [3,1,2,1] => 259
[3,6,7,8,1,5,2,4] => 0001010 => [3,1,1,1,1] => 427
[3,6,7,8,1,5,4,2] => 0001011 => [3,1,1,2] => 259
[2,6,7,8,1,5,4,3] => 0001011 => [3,1,1,2] => 259
[2,4,5,6,7,8,1,3,9] => 00000100 => [5,1,2] => 138
[3,4,5,6,7,1,8,2,9] => 00001010 => [4,1,1,1,1] => 888
[1,3,5,6,7,8,9,2,4] => 00000010 => [6,1,1] => 50
[1,4,5,6,7,8,2,9,3] => 00000101 => [5,1,1,1] => 240
[4,2,7,1,5,3,8,6] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,2,8,6,1,5,3,7] => 1011010 => [1,1,2,1,1,1] => 984
[3,2,6,7,5,1,4,8] => 1001100 => [1,2,2,2] => 363
[2,7,1,3,5,4,8,6] => 0100101 => [1,1,2,1,1,1] => 984
[4,7,2,1,5,8,6,3] => 0110011 => [1,2,2,2] => 363
[7,2,1,3,5,8,6,4] => 1100011 => [2,3,2] => 153
[2,3,6,4,7,1,5,8] => 0010100 => [2,1,1,1,2] => 603
[1,3,4,8,2,7,5,6] => 0001010 => [3,1,1,1,1] => 427
[3,1,4,8,2,6,7,5] => 1001001 => [1,2,1,2,1] => 603
[8,3,1,6,2,5,7,4] => 1101001 => [2,1,1,2,1] => 603
[4,8,6,2,1,5,7,3] => 0111001 => [1,3,2,1] => 259
[4,8,3,6,5,1,7,2] => 0101101 => [1,1,1,2,1,1] => 1006
[6,4,7,3,5,1,8,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,4,7,5,1,8,2,3] => 1011010 => [1,1,2,1,1,1] => 984
[3,6,1,7,5,8,2,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[7,3,5,1,6,8,2,4] => 1010010 => [1,1,1,2,1,1] => 1006
[4,7,3,5,6,1,8,2] => 0100101 => [1,1,2,1,1,1] => 984
[3,4,6,8,5,1,7,2] => 0001101 => [3,2,1,1] => 256
[4,6,8,2,1,5,7,3] => 0011001 => [2,2,2,1] => 357
[6,8,2,1,3,5,7,4] => 0110001 => [1,2,3,1] => 262
[1,8,2,3,5,7,4,6] => 0100010 => [1,1,3,1,1] => 439
[2,7,3,6,1,4,5,8] => 0101000 => [1,1,1,1,3] => 450
[2,6,1,3,5,8,4,7] => 0100010 => [1,1,3,1,1] => 439
[7,3,2,5,6,1,4,8] => 1100100 => [2,2,1,2] => 357
[4,7,5,2,6,1,3,8] => 0110100 => [1,2,1,1,2] => 603
[4,6,2,8,1,5,3,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[8,4,1,2,7,5,3,6] => 1100110 => [2,2,2,1] => 357
[4,5,6,2,7,1,3,8] => 0010100 => [2,1,1,1,2] => 603
[8,5,1,2,6,3,4,7] => 1100100 => [2,2,1,2] => 357
[1,6,2,7,4,8,3,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[6,2,1,7,8,5,3,4] => 1100110 => [2,2,2,1] => 357
[6,7,3,8,4,1,5,2] => 0101101 => [1,1,1,2,1,1] => 1006
[2,7,8,4,1,5,6,3] => 0011001 => [2,2,2,1] => 357
[2,7,1,8,5,6,3,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[8,2,5,1,6,7,3,4] => 1010010 => [1,1,1,2,1,1] => 1006
[8,2,4,5,1,6,7,3] => 1001001 => [1,2,1,2,1] => 603
[3,8,4,5,6,1,7,2] => 0100101 => [1,1,2,1,1,1] => 984
[4,5,8,3,6,7,1,2] => 0010010 => [2,1,2,1,1] => 594
[4,5,8,3,7,6,1,2] => 0010110 => [2,1,1,2,1] => 603
[4,2,8,3,7,1,6,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,2,3,4,8,1,6,5] => 1000101 => [1,3,1,1,1] => 427
[7,2,3,4,8,1,5,6] => 1000100 => [1,3,1,2] => 259
[7,6,3,4,8,5,1,2] => 1100110 => [2,2,2,1] => 357
[7,6,3,5,8,4,1,2] => 1100110 => [2,2,2,1] => 357
[7,6,3,8,4,5,1,2] => 1101010 => [2,1,1,1,1,1] => 969
[7,2,3,8,5,1,4,6] => 1001100 => [1,2,2,2] => 363
[7,2,3,8,5,1,6,4] => 1001101 => [1,2,2,1,1] => 594
[2,6,4,8,1,5,7,3] => 0101001 => [1,1,1,1,2,1] => 1023
[7,2,3,8,4,1,5,6] => 1001100 => [1,2,2,2] => 363
[7,2,3,5,8,1,4,6] => 1000100 => [1,3,1,2] => 259
[7,8,2,3,6,1,4,5] => 0100100 => [1,1,2,1,2] => 611
[7,8,2,3,6,1,5,4] => 0100101 => [1,1,2,1,1,1] => 984
[4,2,6,3,7,1,5,8] => 1010100 => [1,1,1,1,1,2] => 1023
[7,2,3,5,8,1,6,4] => 1000101 => [1,3,1,1,1] => 427
[7,2,3,8,4,1,6,5] => 1001101 => [1,2,2,1,1] => 594
[2,6,4,8,1,3,7,5] => 0101001 => [1,1,1,1,2,1] => 1023
[3,6,4,8,1,7,5,2] => 0101011 => [1,1,1,1,1,2] => 1023
[7,6,5,1,2,3,8,4] => 1110001 => [3,3,1] => 110
[7,6,5,1,4,2,8,3] => 1110101 => [3,1,1,1,1] => 427
[2,6,4,5,1,8,7,3] => 0101011 => [1,1,1,1,1,2] => 1023
[3,5,6,4,1,2,7,8] => 0011000 => [2,2,3] => 153
[7,8,5,4,1,2,6,3] => 0111001 => [1,3,2,1] => 259
[3,5,6,4,1,2,8,7] => 0011001 => [2,2,2,1] => 357
[7,6,5,1,4,2,3,8] => 1110100 => [3,1,1,2] => 259
[7,6,5,1,2,4,3,8] => 1110010 => [3,2,1,1] => 256
[7,6,5,1,2,4,8,3] => 1110001 => [3,3,1] => 110
[7,6,5,1,3,2,8,4] => 1110101 => [3,1,1,1,1] => 427
[7,6,5,1,3,2,4,8] => 1110100 => [3,1,1,2] => 259
[7,6,5,1,3,4,2,8] => 1110010 => [3,2,1,1] => 256
[7,2,3,4,5,1,8,6] => 1000101 => [1,3,1,1,1] => 427
[2,6,4,3,1,5,8,7] => 0111001 => [1,3,2,1] => 259
[2,6,4,3,1,8,5,7] => 0111010 => [1,3,1,1,1] => 427
[2,6,4,3,1,8,7,5] => 0111011 => [1,3,1,2] => 259
[3,5,8,4,1,2,7,6] => 0011001 => [2,2,2,1] => 357
[3,5,8,4,1,2,6,7] => 0011000 => [2,2,3] => 153
[3,5,8,4,1,6,2,7] => 0011010 => [2,2,1,1,1] => 582
[4,2,8,3,6,1,7,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[3,5,8,4,1,6,7,2] => 0011001 => [2,2,2,1] => 357
[2,5,8,4,1,7,3,6] => 0011010 => [2,2,1,1,1] => 582
[3,6,4,2,1,7,8,5] => 0111001 => [1,3,2,1] => 259
[3,6,4,2,1,7,5,8] => 0111010 => [1,3,1,1,1] => 427
[3,5,6,4,1,8,7,2] => 0011011 => [2,2,1,2] => 357
[2,6,4,5,1,3,7,8] => 0101000 => [1,1,1,1,3] => 450
[7,6,5,1,4,3,8,2] => 1110101 => [3,1,1,1,1] => 427
[7,6,5,1,2,8,4,3] => 1110011 => [3,2,2] => 153
[7,6,5,1,2,8,3,4] => 1110010 => [3,2,1,1] => 256
[7,6,5,1,8,2,4,3] => 1110101 => [3,1,1,1,1] => 427
[7,6,5,1,8,2,3,4] => 1110100 => [3,1,1,2] => 259
[7,6,5,1,8,3,2,4] => 1110110 => [3,1,2,1] => 259
[7,6,5,1,4,8,2,3] => 1110010 => [3,2,1,1] => 256
[3,6,4,5,1,7,2,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,5,6,4,1,7,8,3] => 0011001 => [2,2,2,1] => 357
[7,8,5,4,1,6,3,2] => 0111011 => [1,3,1,2] => 259
[2,5,6,4,1,7,3,8] => 0011010 => [2,2,1,1,1] => 582
[3,6,4,5,1,7,8,2] => 0101001 => [1,1,1,1,2,1] => 1023
[7,6,5,1,4,8,3,2] => 1110011 => [3,2,2] => 153
[7,6,5,1,8,3,4,2] => 1110101 => [3,1,1,1,1] => 427
[7,6,5,1,8,4,2,3] => 1110110 => [3,1,2,1] => 259
[4,1,7,6,2,8,5,3] => 1011011 => [1,1,2,1,2] => 611
[7,8,6,2,1,3,5,4] => 0111001 => [1,3,2,1] => 259
[3,7,6,1,2,8,4,5] => 0110010 => [1,2,2,1,1] => 594
[2,6,5,3,1,4,8,7] => 0111001 => [1,3,2,1] => 259
[4,6,1,5,3,2,8,7] => 0101101 => [1,1,1,2,1,1] => 1006
[3,6,1,4,2,5,8,7] => 0101001 => [1,1,1,1,2,1] => 1023
[2,6,4,5,7,8,1,3] => 0100010 => [1,1,3,1,1] => 439
[8,7,1,6,5,2,4,3] => 1101101 => [2,1,2,1,1] => 594
[7,2,5,6,8,1,3,4] => 1000100 => [1,3,1,2] => 259
[6,1,3,4,2,8,7,5] => 1001011 => [1,2,1,1,2] => 603
[2,4,5,6,1,8,7,3] => 0001011 => [3,1,1,2] => 259
[8,4,1,6,5,7,3,2] => 1101011 => [2,1,1,1,2] => 603
[2,8,3,4,7,5,1,6] => 0100110 => [1,1,2,2,1] => 611
[6,8,2,7,4,3,5,1] => 0101101 => [1,1,1,2,1,1] => 1006
[4,7,8,5,1,6,3,2] => 0011011 => [2,2,1,2] => 357
[8,2,6,4,7,3,5,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,8,6,1,7,3,2,5] => 0110110 => [1,2,1,2,1] => 603
[8,7,3,2,1,5,4,6] => 1111010 => [4,1,1,1] => 145
[3,8,5,1,7,2,4,6] => 0110100 => [1,2,1,1,2] => 603
[6,8,7,1,3,2,4,5] => 0110100 => [1,2,1,1,2] => 603
[2,5,1,8,7,4,6,3] => 0101101 => [1,1,1,2,1,1] => 1006
[3,7,1,8,4,5,6,2] => 0101001 => [1,1,1,1,2,1] => 1023
[6,2,3,8,4,7,5,1] => 1001011 => [1,2,1,1,2] => 603
[8,6,4,3,1,7,2,5] => 1111010 => [4,1,1,1] => 145
[8,3,7,4,6,1,2,5] => 1010100 => [1,1,1,1,1,2] => 1023
[7,1,3,8,6,4,5,2] => 1001101 => [1,2,2,1,1] => 594
[2,3,5,8,6,7,4,1] => 0001011 => [3,1,1,2] => 259
[7,4,2,1,8,6,5,3] => 1110111 => [3,1,3] => 110
[4,6,7,2,5,8,3,1] => 0010011 => [2,1,2,2] => 363
[7,6,2,5,3,8,1,4] => 1101010 => [2,1,1,1,1,1] => 969
[6,2,1,3,4,8,7,5] => 1100011 => [2,3,2] => 153
[6,5,4,2,8,3,1,7] => 1110110 => [3,1,2,1] => 259
[5,4,3,1,8,7,2,6] => 1110110 => [3,1,2,1] => 259
[6,1,4,3,8,5,2,7] => 1010110 => [1,1,1,1,2,1] => 1023
[4,7,6,2,8,1,5,3] => 0110101 => [1,2,1,1,1,1] => 969
[6,4,5,1,7,8,3,2] => 1010011 => [1,1,1,2,2] => 622
[4,2,3,1,7,8,6,5] => 1010011 => [1,1,1,2,2] => 622
[3,4,2,1,8,6,7,5] => 0110101 => [1,2,1,1,1,1] => 969
[2,7,6,8,1,5,3,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[6,4,5,8,3,1,2,7] => 1001100 => [1,2,2,2] => 363
[8,1,3,2,5,6,7,4] => 1010001 => [1,1,1,3,1] => 450
[3,6,8,1,5,2,4,7] => 0010100 => [2,1,1,1,2] => 603
[3,2,8,7,4,5,1,6] => 1011010 => [1,1,2,1,1,1] => 984
[6,3,8,5,7,4,2,1] => 1010111 => [1,1,1,1,3] => 450
[7,4,6,8,5,1,2,3] => 1001100 => [1,2,2,2] => 363
[2,1,4,8,7,5,3,6] => 1001110 => [1,2,3,1] => 262
[2,1,6,8,3,7,5,4] => 1001011 => [1,2,1,1,2] => 603
[3,6,8,2,4,1,5,7] => 0010100 => [2,1,1,1,2] => 603
[6,2,8,1,7,5,4,3] => 1010111 => [1,1,1,1,3] => 450
[2,6,5,4,8,1,3,7] => 0110100 => [1,2,1,1,2] => 603
[6,5,3,4,8,1,7,2] => 1100101 => [2,2,1,1,1] => 582
[8,4,3,2,5,1,7,6] => 1110101 => [3,1,1,1,1] => 427
[4,2,8,1,5,3,6,7] => 1010100 => [1,1,1,1,1,2] => 1023
[5,1,8,2,6,4,3,7] => 1010110 => [1,1,1,1,2,1] => 1023
[7,4,8,6,2,1,3,5] => 1011100 => [1,1,3,2] => 265
[4,6,2,8,3,7,5,1] => 0101011 => [1,1,1,1,1,2] => 1023
[2,1,5,8,3,6,4,7] => 1001010 => [1,2,1,1,1,1] => 969
[2,8,5,3,6,7,1,4] => 0110010 => [1,2,2,1,1] => 594
[7,8,5,6,4,1,3,2] => 0101101 => [1,1,1,2,1,1] => 1006
[5,8,4,1,6,3,7,2] => 0110101 => [1,2,1,1,1,1] => 969
[4,8,1,3,5,7,6,2] => 0100011 => [1,1,3,2] => 265
[3,8,1,4,5,6,2,7] => 0100010 => [1,1,3,1,1] => 439
[9,7,8,5,6,3,1,4,2] => 10101101 => [1,1,1,1,2,1,1] => 6264
[9,7,8,5,3,6,1,4,2] => 10110101 => [1,1,2,1,1,1,1] => 6040
[9,7,5,8,3,6,1,4,2] => 11010101 => [2,1,1,1,1,1,1] => 5976
[7,9,5,8,3,6,1,4,2] => 01010101 => [1,1,1,1,1,1,1,1] => 10176
[7,6,8,3,5,1,4,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,9,5,7,3,6,1,4,2] => 01010101 => [1,1,1,1,1,1,1,1] => 10176
[8,9,6,7,3,5,1,4,2] => 01010101 => [1,1,1,1,1,1,1,1] => 10176
[8,9,6,7,4,5,1,3,2] => 01010101 => [1,1,1,1,1,1,1,1] => 10176
[8,9,6,7,4,5,2,3,1] => 01010101 => [1,1,1,1,1,1,1,1] => 10176
[9,7,8,5,3,1,6,4,2] => 10111011 => [1,1,3,1,2] => 1608
[9,7,5,3,8,6,1,4,2] => 11101101 => [3,1,2,1,1] => 1560
[7,5,9,8,3,6,1,4,2] => 10110101 => [1,1,2,1,1,1,1] => 6040
[7,8,6,3,5,1,4,2] => 0110101 => [1,2,1,1,1,1] => 969
[5,3,8,7,6,1,4,2] => 1011101 => [1,1,3,1,1] => 439
[9,8,5,7,3,6,1,4,2] => 11010101 => [2,1,1,1,1,1,1] => 5976
[7,9,6,8,3,5,1,4,2] => 01010101 => [1,1,1,1,1,1,1,1] => 10176
[6,5,8,4,7,1,3,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,9,5,7,4,6,1,3,2] => 01010101 => [1,1,1,1,1,1,1,1] => 10176
[8,9,6,7,3,5,2,4,1] => 01010101 => [1,1,1,1,1,1,1,1] => 10176
[6,7,4,2,5,3,1,8] => 0110110 => [1,2,1,2,1] => 603
[7,6,4,8,3,1,5,2] => 1101101 => [2,1,2,1,1] => 594
[7,4,8,5,6,1,3,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,4,2,5,6,3,1,8] => 1100110 => [2,2,2,1] => 357
[4,2,7,5,6,3,1,8] => 1010110 => [1,1,1,1,2,1] => 1023
[3,4,7,5,6,2,1,8] => 0010110 => [2,1,1,2,1] => 603
[4,7,3,5,6,2,1,8] => 0100110 => [1,1,2,2,1] => 611
[3,7,2,5,6,4,1,8] => 0100110 => [1,1,2,2,1] => 611
[7,8,3,5,6,1,4,2] => 0100101 => [1,1,2,1,1,1] => 984
[1,6,8,5,2,7,4,3] => 0011011 => [2,2,1,2] => 357
[6,2,8,5,1,7,4,3] => 1011011 => [1,1,2,1,2] => 611
[6,7,4,8,2,1,5,3] => 0101101 => [1,1,1,2,1,1] => 1006
[3,2,7,8,6,1,5,4] => 1001101 => [1,2,2,1,1] => 594
[6,8,4,1,2,3,7,5] => 0110001 => [1,2,3,1] => 262
[4,1,8,5,6,3,2,7] => 1010110 => [1,1,1,1,2,1] => 1023
[1,8,2,5,6,4,3,7] => 0100110 => [1,1,2,2,1] => 611
[6,1,8,5,3,7,4,2] => 1011011 => [1,1,2,1,2] => 611
[3,8,1,5,2,7,6,4] => 0101011 => [1,1,1,1,1,2] => 1023
[8,2,1,5,3,7,6,4] => 1101011 => [2,1,1,1,2] => 603
[1,5,2,4,6,7,8,3] => 0100001 => [1,1,4,1] => 148
[4,1,5,3,6,7,8,2] => 1010001 => [1,1,1,3,1] => 450
[8,1,6,5,3,7,2,4] => 1011010 => [1,1,2,1,1,1] => 984
[7,1,4,6,3,2,8,5] => 1001101 => [1,2,2,1,1] => 594
[3,2,6,4,1,7,8,5] => 1011001 => [1,1,2,2,1] => 611
[7,6,4,3,1,2,8,5] => 1111001 => [4,2,1] => 85
[8,6,3,5,1,7,2,4] => 1101010 => [2,1,1,1,1,1] => 969
[4,5,3,1,6,7,8,2] => 0110001 => [1,2,3,1] => 262
[3,5,2,1,6,7,8,4] => 0110001 => [1,2,3,1] => 262
[5,2,3,1,6,7,8,4] => 1010001 => [1,1,1,3,1] => 450
[1,5,3,2,6,7,8,4] => 0110001 => [1,2,3,1] => 262
[8,4,6,5,1,7,2,3] => 1011010 => [1,1,2,1,1,1] => 984
[7,5,4,6,1,2,8,3] => 1101001 => [2,1,1,2,1] => 603
[3,2,5,6,1,7,8,4] => 1001001 => [1,2,1,2,1] => 603
[3,2,8,7,6,1,4,5] => 1011100 => [1,1,3,2] => 265
[6,8,4,7,2,1,3,5] => 0101100 => [1,1,1,2,2] => 622
[3,8,7,5,6,1,2,4] => 0110100 => [1,2,1,1,2] => 603
[8,2,7,5,6,1,3,4] => 1010100 => [1,1,1,1,1,2] => 1023
[4,8,6,5,1,7,3,2] => 0111011 => [1,3,1,2] => 259
[1,7,4,6,2,3,8,5] => 0101001 => [1,1,1,1,2,1] => 1023
[7,6,4,2,1,5,8,3] => 1111001 => [4,2,1] => 85
[5,7,4,6,1,3,8,2] => 0101001 => [1,1,1,1,2,1] => 1023
[8,6,4,7,3,1,2,5] => 1101100 => [2,1,2,2] => 363
[5,2,4,3,7,1,8,6] => 1010101 => [1,1,1,1,1,1,1] => 1623
[3,5,4,2,7,1,8,6] => 0110101 => [1,2,1,1,1,1] => 969
[8,6,4,1,3,5,2,7] => 1110010 => [3,2,1,1] => 256
[6,7,4,1,5,3,8,2] => 0110101 => [1,2,1,1,1,1] => 969
[7,5,4,1,2,6,8,3] => 1110001 => [3,3,1] => 110
[1,7,4,2,3,6,8,5] => 0110001 => [1,2,3,1] => 262
[1,8,2,5,3,7,6,4] => 0101011 => [1,1,1,1,1,2] => 1023
[6,8,1,5,4,7,3,2] => 0101011 => [1,1,1,1,1,2] => 1023
[8,2,1,5,6,4,3,7] => 1100110 => [2,2,2,1] => 357
[3,8,1,5,6,4,2,7] => 0100110 => [1,1,2,2,1] => 611
[6,8,4,1,2,5,3,7] => 0110010 => [1,2,2,1,1] => 594
[3,2,8,1,6,5,4,7] => 1010110 => [1,1,1,1,2,1] => 1023
[3,2,6,1,5,7,8,4] => 1010001 => [1,1,1,3,1] => 450
[7,6,4,1,5,2,8,3] => 1110101 => [3,1,1,1,1] => 427
[8,6,1,5,4,7,2,3] => 1101010 => [2,1,1,1,1,1] => 969
[3,5,1,4,6,7,8,2] => 0100001 => [1,1,4,1] => 148
[5,2,1,4,6,7,8,3] => 1100001 => [2,4,1] => 85
[5,4,1,3,6,7,8,2] => 1100001 => [2,4,1] => 85
[8,4,1,5,3,7,2,6] => 1101010 => [2,1,1,1,1,1] => 969
[7,5,4,1,3,2,8,6] => 1110101 => [3,1,1,1,1] => 427
[3,2,5,1,4,7,8,6] => 1010001 => [1,1,1,3,1] => 450
[7,1,4,3,5,2,8,6] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,1,3,5,4,7,2,6] => 1001010 => [1,2,1,1,1,1] => 969
[5,1,3,4,6,7,8,2] => 1000001 => [1,5,1] => 37
[3,1,8,2,5,7,4,6] => 1010010 => [1,1,1,2,1,1] => 1006
[8,3,2,6,1,4,7,5] => 1101001 => [2,1,1,2,1] => 603
[2,8,1,6,4,3,7,5] => 0101101 => [1,1,1,2,1,1] => 1006
[2,6,1,3,8,7,5,4] => 0100111 => [1,1,2,3] => 265
[2,5,7,1,3,8,6,4] => 0010011 => [2,1,2,2] => 363
[2,6,8,1,5,7,4,3] => 0010011 => [2,1,2,2] => 363
[2,7,1,5,8,4,6,3] => 0100101 => [1,1,2,1,1,1] => 984
[2,7,1,6,4,8,3,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,7,1,6,5,3,8,4] => 0101101 => [1,1,1,2,1,1] => 1006
[2,8,1,7,6,5,4,3] => 0101111 => [1,1,1,4] => 148
[8,3,2,7,1,6,5,4] => 1101011 => [2,1,1,1,2] => 603
[4,1,8,7,3,2,6,5] => 1011101 => [1,1,3,1,1] => 439
[4,1,7,2,8,6,5,3] => 1010111 => [1,1,1,1,3] => 450
[3,7,1,8,6,5,4,2] => 0101111 => [1,1,1,4] => 148
[3,7,6,1,4,2,5,8] => 0110100 => [1,2,1,1,2] => 603
[3,7,5,1,4,6,8,2] => 0110001 => [1,2,3,1] => 262
[3,6,8,5,1,4,7,2] => 0011001 => [2,2,2,1] => 357
[7,3,5,8,2,1,4,6] => 1001100 => [1,2,2,2] => 363
[7,3,6,2,1,4,5,8] => 1011000 => [1,1,2,3] => 265
[7,3,6,2,1,5,4,8] => 1011010 => [1,1,2,1,1,1] => 984
[7,4,2,8,1,6,5,3] => 1101011 => [2,1,1,1,2] => 603
[8,7,5,3,2,1,6,4] => 1111101 => [5,1,1] => 37
[7,5,2,6,3,1,4,8] => 1101100 => [2,1,2,2] => 363
[7,4,6,2,1,8,3,5] => 1011010 => [1,1,2,1,1,1] => 984
[6,8,4,5,2,1,7,3] => 0101101 => [1,1,1,2,1,1] => 1006
[4,6,8,5,1,7,3,2] => 0011011 => [2,2,1,2] => 357
[4,7,5,1,3,8,6,2] => 0110011 => [1,2,2,2] => 363
[4,7,6,1,5,3,2,8] => 0110110 => [1,2,1,2,1] => 603
[5,1,7,6,3,8,2,4] => 1011010 => [1,1,2,1,1,1] => 984
[5,1,7,6,4,2,8,3] => 1011101 => [1,1,3,1,1] => 439
[5,1,8,7,6,4,3,2] => 1011111 => [1,1,5] => 37
[8,5,2,1,7,6,4,3] => 1110111 => [3,1,3] => 110
[8,5,2,1,6,3,7,4] => 1110101 => [3,1,1,1,1] => 427
[5,1,8,6,3,2,7,4] => 1011101 => [1,1,3,1,1] => 439
[3,6,1,7,4,8,2,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,1,8,6,3,7,2,5] => 1011010 => [1,1,2,1,1,1] => 984
[8,4,2,5,7,3,1,6] => 1100110 => [2,2,2,1] => 357
[3,4,6,8,5,7,1,2] => 0001010 => [3,1,1,1,1] => 427
[5,4,8,2,7,3,6,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,4,8,7,3,6,1,2] => 1011010 => [1,1,2,1,1,1] => 984
[8,5,4,7,3,6,2,1] => 1101011 => [2,1,1,1,2] => 603
[6,4,3,8,7,1,2,5] => 1101100 => [2,1,2,2] => 363
[6,3,7,2,4,8,1,5] => 1010010 => [1,1,1,2,1,1] => 1006
[5,6,8,4,2,7,3,1] => 0011011 => [2,2,1,2] => 357
[5,7,4,2,8,1,3,6] => 0110100 => [1,2,1,1,2] => 603
[6,5,2,7,1,3,8,4] => 1101001 => [2,1,1,2,1] => 603
[8,6,5,4,2,1,7,3] => 1111101 => [5,1,1] => 37
[6,4,7,3,1,8,2,5] => 1011010 => [1,1,2,1,1,1] => 984
[5,7,4,3,8,6,1,2] => 0110110 => [1,2,1,2,1] => 603
[7,5,8,4,6,3,2,1] => 1010111 => [1,1,1,1,3] => 450
[7,6,4,8,3,5,2,1] => 1101011 => [2,1,1,1,2] => 603
[7,6,5,3,8,2,4,1] => 1110101 => [3,1,1,1,1] => 427
[6,5,4,3,2,1,9,8,7] => 11111011 => [5,1,2] => 138
[6,5,4,3,2,1,8,7,9] => 11111010 => [5,1,1,1] => 240
[5,4,3,2,1,9,8,7,6] => 11110111 => [4,1,3] => 220
[5,4,3,2,1,8,7,6,9] => 11110110 => [4,1,2,1] => 526
[5,4,3,2,1,7,6,9,8] => 11110101 => [4,1,1,1,1] => 888
[5,4,3,2,1,7,6,8,9] => 11110100 => [4,1,1,2] => 526
[4,3,2,1,8,7,6,5,9] => 11101110 => [3,1,3,1] => 676
[4,3,2,1,7,6,5,9,8] => 11101101 => [3,1,2,1,1] => 1560
[4,3,2,1,7,6,5,8,9] => 11101100 => [3,1,2,2] => 936
[4,3,2,1,6,5,8,7,9] => 11101010 => [3,1,1,1,1,1] => 2592
[4,3,2,1,6,5,7,8,9] => 11101000 => [3,1,1,3] => 676
[3,2,1,6,5,4,8,7,9] => 11011010 => [2,1,2,1,1,1] => 3588
[3,2,1,6,5,4,7,8,9] => 11011000 => [2,1,2,3] => 946
[3,2,1,5,4,7,6,9,8] => 11010101 => [2,1,1,1,1,1,1] => 5976
[3,2,1,5,4,7,6,8,9] => 11010100 => [2,1,1,1,1,2] => 3696
[3,2,1,5,4,6,7,8,9] => 11010000 => [2,1,1,4] => 534
[2,1,4,3,6,5,7,8,9] => 10101000 => [1,1,1,1,1,3] => 2790
[2,1,4,3,5,6,7,8,9] => 10100000 => [1,1,1,5] => 244
[5,6,3,7,4,2,1,8] => 0101110 => [1,1,1,3,1] => 450
[7,6,3,8,5,1,4,2] => 1101101 => [2,1,2,1,1] => 594
[6,4,8,1,3,2,5,7] => 1010100 => [1,1,1,1,1,2] => 1023
[7,4,8,6,3,1,5,2] => 1011101 => [1,1,3,1,1] => 439
[4,2,7,6,5,3,1,8] => 1011110 => [1,1,4,1] => 148
[3,7,2,4,6,5,1,8] => 0100110 => [1,1,2,2,1] => 611
[8,1,3,4,5,2,6,7] => 1000100 => [1,3,1,2] => 259
[1,6,8,4,2,5,3,7] => 0011010 => [2,2,1,1,1] => 582
[6,2,8,4,1,5,7,3] => 1011001 => [1,1,2,2,1] => 611
[6,7,4,8,5,1,2,3] => 0101100 => [1,1,1,2,2] => 622
[3,2,7,8,5,1,6,4] => 1001101 => [1,2,2,1,1] => 594
[3,2,8,1,5,4,6,7] => 1010100 => [1,1,1,1,1,2] => 1023
[6,1,4,8,5,3,7,2] => 1001101 => [1,2,2,1,1] => 594
[1,4,8,5,2,6,7,3] => 0011001 => [2,2,2,1] => 357
[6,1,8,4,3,7,2,5] => 1011010 => [1,1,2,1,1,1] => 984
[3,7,1,4,2,5,8,6] => 0101001 => [1,1,1,1,2,1] => 1023
[7,2,1,4,3,5,6,8] => 1101000 => [2,1,1,3] => 262
[4,1,5,3,6,8,2,7] => 1010010 => [1,1,1,2,1,1] => 1006
[6,1,8,5,3,2,7,4] => 1011101 => [1,1,3,1,1] => 439
[7,1,4,6,3,8,5,2] => 1001011 => [1,2,1,1,2] => 603
[3,2,6,4,1,8,7,5] => 1011011 => [1,1,2,1,2] => 611
[7,6,4,3,1,8,2,5] => 1111010 => [4,1,1,1] => 145
[3,5,2,1,8,7,6,4] => 0110111 => [1,2,1,3] => 262
[1,5,3,2,8,6,4,7] => 0110110 => [1,2,1,2,1] => 603
[5,4,2,1,7,8,6,3] => 1110011 => [3,2,2] => 153
[8,2,7,6,5,1,3,4] => 1011100 => [1,1,3,2] => 265
[8,6,2,7,1,4,5,3] => 1101001 => [2,1,1,2,1] => 603
[1,7,3,6,2,8,5,4] => 0101011 => [1,1,1,1,1,2] => 1023
[7,6,3,2,1,8,5,4] => 1111011 => [4,1,2] => 85
[8,6,3,7,4,1,2,5] => 1101100 => [2,1,2,2] => 363
[5,2,3,4,7,1,8,6] => 1000101 => [1,3,1,1,1] => 427
[8,6,3,1,4,5,7,2] => 1110001 => [3,3,1] => 110
[6,7,3,1,5,4,2,8] => 0110110 => [1,2,1,2,1] => 603
[5,8,3,1,2,4,7,6] => 0110001 => [1,2,3,1] => 262
[8,1,3,2,4,5,6,7] => 1010000 => [1,1,1,4] => 148
[8,4,1,7,2,3,6,5] => 1101001 => [2,1,1,2,1] => 603
[8,2,1,6,5,4,7,3] => 1101101 => [2,1,2,1,1] => 594
[3,8,1,5,6,4,7,2] => 0100101 => [1,1,2,1,1,1] => 984
[6,8,4,1,2,5,7,3] => 0110001 => [1,2,3,1] => 262
[3,2,8,1,6,5,7,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,6,4,1,5,2,3,8] => 1110100 => [3,1,1,2] => 259
[8,6,1,5,4,7,3,2] => 1101011 => [2,1,1,1,2] => 603
[3,5,1,4,6,7,2,8] => 0100010 => [1,1,3,1,1] => 439
[5,2,1,4,7,6,3,8] => 1100110 => [2,2,2,1] => 357
[4,5,8,2,1,3,7,6] => 0011001 => [2,2,2,1] => 357
[5,8,2,3,1,4,6,7] => 0101000 => [1,1,1,1,3] => 450
[4,2,1,3,5,8,7,6] => 1100011 => [2,3,2] => 153
[5,4,1,3,6,2,8,7] => 1100101 => [2,2,1,1,1] => 582
[8,5,4,1,3,6,2,7] => 1110010 => [3,2,1,1] => 256
[3,2,5,1,4,6,8,7] => 1010001 => [1,1,1,3,1] => 450
[8,1,4,3,5,6,7,2] => 1010001 => [1,1,1,3,1] => 450
[7,1,3,5,4,6,2,8] => 1001010 => [1,2,1,1,1,1] => 969
[5,1,3,4,6,2,7,8] => 1000100 => [1,3,1,2] => 259
[4,1,3,2,5,7,6,8] => 1010010 => [1,1,1,2,1,1] => 1006
[3,1,4,2,6,5,8,7,9] => 10101010 => [1,1,1,1,1,1,1,1] => 10176
[3,1,5,2,6,4,8,7,9] => 10101010 => [1,1,1,1,1,1,1,1] => 10176
[3,1,5,2,7,4,8,6,9] => 10101010 => [1,1,1,1,1,1,1,1] => 10176
[3,1,5,2,7,4,6,9,8] => 10101001 => [1,1,1,1,1,2,1] => 6344
[3,1,5,2,4,7,6,9,8] => 10100101 => [1,1,1,2,1,1,1] => 6148
[3,1,2,5,4,7,6,9,8] => 10010101 => [1,2,1,1,1,1,1] => 5976
[4,1,5,2,6,3,8,7,9] => 10101010 => [1,1,1,1,1,1,1,1] => 10176
[3,1,6,2,7,4,8,5,9] => 10101010 => [1,1,1,1,1,1,1,1] => 10176
[3,1,5,2,8,4,9,6,7] => 10101010 => [1,1,1,1,1,1,1,1] => 10176
[3,1,5,2,7,4,6,8,9] => 10101000 => [1,1,1,1,1,3] => 2790
[3,1,5,2,4,7,9,6,8] => 10100010 => [1,1,1,3,1,1] => 2732
[3,1,2,5,7,4,6,9,8] => 10001001 => [1,3,1,2,1] => 1576
[1,3,5,2,4,7,6,9,8] => 00100101 => [2,1,2,1,1,1] => 3588
[6,8,2,4,5,1,3,7] => 0100100 => [1,1,2,1,2] => 611
[4,6,7,3,1,5,2,8] => 0011010 => [2,2,1,1,1] => 582
[5,8,1,2,4,7,3,6] => 0100010 => [1,1,3,1,1] => 439
[6,8,1,3,5,2,7,4] => 0100101 => [1,1,2,1,1,1] => 984
[6,8,3,1,4,5,7,2] => 0110001 => [1,2,3,1] => 262
[7,5,1,8,2,3,6,4] => 1101001 => [2,1,1,2,1] => 603
[5,3,8,4,2,6,7,1] => 1011001 => [1,1,2,2,1] => 611
[4,1,8,3,5,7,2,6] => 1010010 => [1,1,1,2,1,1] => 1006
[3,4,7,2,6,1,8,5] => 0010101 => [2,1,1,1,1,1] => 969
[4,5,7,2,3,6,8,1] => 0010001 => [2,1,3,1] => 262
[2,6,3,4,7,5,8,1] => 0100101 => [1,1,2,1,1,1] => 984
[4,5,2,7,1,6,8,3] => 0101001 => [1,1,1,1,2,1] => 1023
[3,4,1,6,5,8,2,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[7,3,1,4,8,5,6,2] => 1100101 => [2,2,1,1,1] => 582
[5,6,3,1,7,4,2,8] => 0110110 => [1,2,1,2,1] => 603
[7,3,4,1,8,5,2,6] => 1010110 => [1,1,1,1,2,1] => 1023
[6,4,2,8,7,1,5,3] => 1101101 => [2,1,2,1,1] => 594
[7,2,4,8,1,5,3,6] => 1001010 => [1,2,1,1,1,1] => 969
[4,6,3,1,7,8,5,2] => 0110011 => [1,2,2,2] => 363
[5,3,1,6,7,8,4,2] => 1100011 => [2,3,2] => 153
[4,1,6,2,7,8,5,3] => 1010011 => [1,1,1,2,2] => 622
[2,1,3,4,8,7,5,6] => 1000110 => [1,3,2,1] => 259
[4,5,6,7,8,9,1,2,3] => 00000100 => [5,1,2] => 138
[4,5,6,7,8,9,2,3,1] => 00000101 => [5,1,1,1] => 240
[5,6,7,8,9,1,2,3,4] => 00001000 => [4,1,3] => 220
[6,7,8,9,2,3,4,5,1] => 00010001 => [3,1,3,1] => 676
[8,9,6,7,5,4,3,2,1] => 01011111 => [1,1,1,5] => 244
[4,8,3,7,6,5,1,2] => 0101110 => [1,1,1,3,1] => 450
[6,3,8,7,5,4,1,2] => 1011110 => [1,1,4,1] => 148
[5,3,8,7,6,4,1,2] => 1011110 => [1,1,4,1] => 148
[2,8,7,6,1,5,4,3] => 0111011 => [1,3,1,2] => 259
[5,2,8,7,6,1,4,3] => 1011101 => [1,1,3,1,1] => 439
[6,2,8,7,5,1,4,3] => 1011101 => [1,1,3,1,1] => 439
[7,8,2,6,5,1,4,3] => 0101101 => [1,1,1,2,1,1] => 1006
[6,1,8,7,5,4,3,2] => 1011111 => [1,1,5] => 37
[3,1,8,7,6,5,4,2] => 1011111 => [1,1,5] => 37
[7,8,2,6,1,5,4,3] => 0101011 => [1,1,1,1,1,2] => 1023
[6,2,8,7,1,5,4,3] => 1011011 => [1,1,2,1,2] => 611
[4,2,8,1,7,6,5,3] => 1010111 => [1,1,1,1,3] => 450
[4,8,2,7,6,1,5,3] => 0101101 => [1,1,1,2,1,1] => 1006
[3,8,7,2,1,6,5,4] => 0111011 => [1,3,1,2] => 259
[6,5,8,7,1,4,3,2] => 1011011 => [1,1,2,1,2] => 611
[4,8,1,7,6,5,3,2] => 0101111 => [1,1,1,4] => 148
[5,4,1,8,7,6,3,2] => 1101111 => [2,1,4] => 85
[6,4,8,1,7,5,3,2] => 1010111 => [1,1,1,1,3] => 450
[7,8,4,1,6,5,3,2] => 0110111 => [1,2,1,3] => 262
[7,8,3,1,6,5,4,2] => 0110111 => [1,2,1,3] => 262
[6,3,8,1,7,5,4,2] => 1010111 => [1,1,1,1,3] => 450
[5,3,1,8,7,6,4,2] => 1101111 => [2,1,4] => 85
[7,8,2,1,6,5,4,3] => 0110111 => [1,2,1,3] => 262
[6,5,3,1,8,7,4,2] => 1110111 => [3,1,3] => 110
[6,4,3,1,8,7,5,2] => 1110111 => [3,1,3] => 110
[5,4,3,1,8,7,6,2] => 1110111 => [3,1,3] => 110
[7,5,2,1,8,6,4,3] => 1110111 => [3,1,3] => 110
[5,4,2,1,8,7,6,3] => 1110111 => [3,1,3] => 110
[7,3,2,1,8,6,5,4] => 1110111 => [3,1,3] => 110
[6,3,2,1,8,7,5,4] => 1110111 => [3,1,3] => 110
[6,1,4,2,3,5,8,7] => 1010001 => [1,1,1,3,1] => 450
[8,6,1,4,2,3,5,7] => 1101000 => [2,1,1,3] => 262
[6,8,1,4,2,3,5,7] => 0101000 => [1,1,1,1,3] => 450
[8,1,4,2,3,6,5,7] => 1010010 => [1,1,1,2,1,1] => 1006
[4,1,8,2,3,6,5,7] => 1010010 => [1,1,1,2,1,1] => 1006
[8,2,3,6,1,4,5,7] => 1001000 => [1,2,1,3] => 262
[6,2,3,8,1,4,5,7] => 1001000 => [1,2,1,3] => 262
[4,6,2,3,8,1,5,7] => 0100100 => [1,1,2,1,2] => 611
[4,8,2,3,6,1,5,7] => 0100100 => [1,1,2,1,2] => 611
[8,2,3,6,4,1,5,7] => 1001100 => [1,2,2,2] => 363
[8,4,3,6,2,1,5,7] => 1101100 => [2,1,2,2] => 363
[6,2,3,8,4,1,5,7] => 1001100 => [1,2,2,2] => 363
[8,4,2,3,6,1,5,7] => 1100100 => [2,2,1,2] => 357
[6,4,2,3,8,1,5,7] => 1100100 => [2,2,1,2] => 357
[2,6,4,3,8,1,5,7] => 0110100 => [1,2,1,1,2] => 603
[2,8,4,3,6,1,5,7] => 0110100 => [1,2,1,1,2] => 603
[2,6,3,8,4,1,5,7] => 0101100 => [1,1,1,2,2] => 622
[6,3,8,4,2,1,5,7] => 1011100 => [1,1,3,2] => 265
[2,6,3,8,1,4,5,7] => 0101000 => [1,1,1,1,3] => 450
[2,8,3,6,1,4,5,7] => 0101000 => [1,1,1,1,3] => 450
[8,3,6,4,2,1,5,7] => 1011100 => [1,1,3,2] => 265
[2,8,3,6,4,1,5,7] => 0101100 => [1,1,1,2,2] => 622
[8,3,6,2,4,1,5,7] => 1010100 => [1,1,1,1,1,2] => 1023
[8,3,6,2,1,4,5,7] => 1011000 => [1,1,2,3] => 265
[6,2,1,3,8,4,5,7] => 1100100 => [2,2,1,2] => 357
[8,2,1,3,6,4,5,7] => 1100100 => [2,2,1,2] => 357
[6,3,8,2,4,1,5,7] => 1010100 => [1,1,1,1,1,2] => 1023
[6,2,4,3,8,1,5,7] => 1010100 => [1,1,1,1,1,2] => 1023
[3,6,4,7,8,5,1,2] => 0100110 => [1,1,2,2,1] => 611
[1,6,4,2,7,5,8,3] => 0110101 => [1,2,1,1,1,1] => 969
[3,6,4,2,7,1,5,8] => 0110100 => [1,2,1,1,2] => 603
[1,4,7,2,5,6,8,3] => 0010001 => [2,1,3,1] => 262
[6,4,8,5,3,7,1,2] => 1011010 => [1,1,2,1,1,1] => 984
[1,6,5,4,2,7,8,3] => 0111001 => [1,3,2,1] => 259
[4,2,5,3,6,1,7,8] => 1010100 => [1,1,1,1,1,2] => 1023
[7,1,5,3,6,2,8,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[1,6,5,2,4,8,7,3] => 0110011 => [1,2,2,2] => 363
[1,4,6,2,8,5,7,3] => 0010101 => [2,1,1,1,1,1] => 969
[7,8,1,4,2,5,6,3] => 0101001 => [1,1,1,1,2,1] => 1023
[3,4,8,5,2,1,6,7] => 0011100 => [2,3,2] => 153
[4,8,5,3,1,6,2,7] => 0111010 => [1,3,1,1,1] => 427
[6,1,3,5,8,2,7,4] => 1000101 => [1,3,1,1,1] => 427
[6,1,8,7,4,2,3,5] => 1011100 => [1,1,3,2] => 265
[1,2,8,5,7,3,6,4] => 0010101 => [2,1,1,1,1,1] => 969
[1,3,6,8,7,5,2,4] => 0001110 => [3,3,1] => 110
[1,8,2,5,4,7,6,3] => 0101011 => [1,1,1,1,1,2] => 1023
[7,1,2,4,5,8,6,3] => 1000011 => [1,4,2] => 85
[1,2,7,3,5,8,6,4] => 0010011 => [2,1,2,2] => 363
[6,1,3,2,5,7,8,4] => 1010001 => [1,1,1,3,1] => 450
[4,6,2,1,7,5,3,8] => 0110110 => [1,2,1,2,1] => 603
[1,6,3,7,8,5,2,4] => 0100110 => [1,1,2,2,1] => 611
[4,6,2,3,7,8,1,5] => 0100010 => [1,1,3,1,1] => 439
[4,6,3,7,1,2,8,5] => 0101001 => [1,1,1,1,2,1] => 1023
[4,2,1,3,5,7,8,6] => 1100001 => [2,4,1] => 85
[7,3,2,4,5,1,8,6] => 1100101 => [2,2,1,1,1] => 582
[3,8,2,5,4,1,7,6] => 0101101 => [1,1,1,2,1,1] => 1006
[7,8,4,2,6,3,1,5] => 0110110 => [1,2,1,2,1] => 603
[4,2,6,3,8,7,1,5] => 1010110 => [1,1,1,1,2,1] => 1023
[5,8,2,7,4,3,1,6] => 0101110 => [1,1,1,3,1] => 450
[4,3,8,5,1,7,2,6] => 1011010 => [1,1,2,1,1,1] => 984
[4,3,6,8,1,2,7,5] => 1001001 => [1,2,1,2,1] => 603
[6,4,3,5,2,8,1,7] => 1101010 => [2,1,1,1,1,1] => 969
[6,5,3,8,4,2,1,7] => 1101110 => [2,1,3,1] => 262
[3,8,1,7,5,6,4,2] => 0101011 => [1,1,1,1,1,2] => 1023
[8,2,5,7,3,6,4,1] => 1001011 => [1,2,1,1,2] => 603
[1,8,6,7,5,3,4,2] => 0101101 => [1,1,1,2,1,1] => 1006
[8,2,6,7,5,3,4,1] => 1001101 => [1,2,2,1,1] => 594
[1,5,8,7,2,6,4,3] => 0011011 => [2,2,1,2] => 357
[5,4,8,6,2,3,7,1] => 1011001 => [1,1,2,2,1] => 611
[2,7,6,1,3,5,4,8] => 0110010 => [1,2,2,1,1] => 594
[6,4,1,8,2,5,7,3] => 1101001 => [2,1,1,2,1] => 603
[2,8,6,1,3,5,4,7] => 0110010 => [1,2,2,1,1] => 594
[4,1,3,6,5,8,7,2] => 1001011 => [1,2,1,1,2] => 603
[2,1,6,3,5,8,7,4] => 1010011 => [1,1,1,2,2] => 622
[2,4,1,3,8,5,7,6] => 0100101 => [1,1,2,1,1,1] => 984
[2,4,1,3,5,8,7,6] => 0100011 => [1,1,3,2] => 265
[2,6,1,3,5,8,7,4] => 0100011 => [1,1,3,2] => 265
[4,6,1,3,5,8,7,2] => 0100011 => [1,1,3,2] => 265
[6,1,4,3,5,8,7,2] => 1010011 => [1,1,1,2,2] => 622
[6,4,1,3,5,8,7,2] => 1100011 => [2,3,2] => 153
[6,2,1,3,5,8,7,4] => 1100011 => [2,3,2] => 153
[4,2,1,3,6,5,7,8] => 1100100 => [2,2,1,2] => 357
[4,2,1,6,3,5,7,8] => 1101000 => [2,1,1,3] => 262
[6,2,1,8,3,5,7,4] => 1101001 => [2,1,1,2,1] => 603
[6,2,1,3,8,5,7,4] => 1100101 => [2,2,1,1,1] => 582
[6,1,4,3,8,5,7,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[1,6,4,3,8,5,7,2] => 0110101 => [1,2,1,1,1,1] => 969
[8,1,4,3,6,5,7,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,4,1,3,6,5,7,2] => 1100101 => [2,2,1,1,1] => 582
[8,2,1,3,6,5,7,4] => 1100101 => [2,2,1,1,1] => 582
[8,2,1,6,3,5,7,4] => 1101001 => [2,1,1,2,1] => 603
[8,2,1,4,3,5,7,6] => 1101001 => [2,1,1,2,1] => 603
[6,2,1,4,3,5,7,8] => 1101000 => [2,1,1,3] => 262
[8,2,4,1,3,5,7,6] => 1010001 => [1,1,1,3,1] => 450
[8,2,6,1,3,5,7,4] => 1010001 => [1,1,1,3,1] => 450
[8,4,6,1,3,5,7,2] => 1010001 => [1,1,1,3,1] => 450
[8,4,1,6,3,5,7,2] => 1101001 => [2,1,1,2,1] => 603
[8,1,4,6,3,5,7,2] => 1001001 => [1,2,1,2,1] => 603
[1,8,4,6,3,5,7,2] => 0101001 => [1,1,1,1,2,1] => 1023
[1,6,4,8,3,5,7,2] => 0101001 => [1,1,1,1,2,1] => 1023
[6,4,1,8,3,5,7,2] => 1101001 => [2,1,1,2,1] => 603
[6,4,8,1,3,5,7,2] => 1010001 => [1,1,1,3,1] => 450
[6,2,8,1,3,5,7,4] => 1010001 => [1,1,1,3,1] => 450
[4,2,8,1,3,5,7,6] => 1010001 => [1,1,1,3,1] => 450
[2,6,8,1,3,5,7,4] => 0010001 => [2,1,3,1] => 262
[4,6,8,1,3,5,7,2] => 0010001 => [2,1,3,1] => 262
[4,6,1,8,3,5,7,2] => 0101001 => [1,1,1,1,2,1] => 1023
[4,1,6,8,3,5,7,2] => 1001001 => [1,2,1,2,1] => 603
[1,4,6,3,8,5,7,2] => 0010101 => [2,1,1,1,1,1] => 969
[4,6,1,3,8,5,7,2] => 0100101 => [1,1,2,1,1,1] => 984
[2,4,1,8,3,5,7,6] => 0101001 => [1,1,1,1,2,1] => 1023
[2,1,6,8,3,5,7,4] => 1001001 => [1,2,1,2,1] => 603
[4,1,3,6,8,5,7,2] => 1000101 => [1,3,1,1,1] => 427
[1,4,3,6,8,5,7,2] => 0100101 => [1,1,2,1,1,1] => 984
[4,1,3,8,6,5,7,2] => 1001101 => [1,2,2,1,1] => 594
[2,1,8,3,6,5,7,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[2,1,6,4,3,5,7,8] => 1011000 => [1,1,2,3] => 265
[2,6,1,4,3,5,7,8] => 0101000 => [1,1,1,1,3] => 450
[2,8,1,4,3,5,7,6] => 0101001 => [1,1,1,1,2,1] => 1023
[2,8,1,6,3,5,7,4] => 0101001 => [1,1,1,1,2,1] => 1023
[4,8,1,3,6,5,7,2] => 0100101 => [1,1,2,1,1,1] => 984
[1,4,8,3,6,5,7,2] => 0010101 => [2,1,1,1,1,1] => 969
[1,4,8,6,3,5,7,2] => 0011001 => [2,2,2,1] => 357
[4,1,8,6,3,5,7,2] => 1011001 => [1,1,2,2,1] => 611
[4,8,1,6,3,5,7,2] => 0101001 => [1,1,1,1,2,1] => 1023
[4,8,6,1,3,5,7,2] => 0110001 => [1,2,3,1] => 262
[2,8,6,1,3,5,7,4] => 0110001 => [1,2,3,1] => 262
[2,8,4,1,3,5,7,6] => 0110001 => [1,2,3,1] => 262
[2,6,4,1,3,5,7,8] => 0110000 => [1,2,4] => 85
[4,6,2,1,3,5,7,8] => 0110000 => [1,2,4] => 85
[6,8,1,4,3,5,7,2] => 0101001 => [1,1,1,1,2,1] => 1023
[6,1,8,4,3,5,7,2] => 1011001 => [1,1,2,2,1] => 611
[1,6,8,4,3,5,7,2] => 0011001 => [2,2,2,1] => 357
[1,8,6,4,3,5,7,2] => 0111001 => [1,3,2,1] => 259
[8,1,6,4,3,5,7,2] => 1011001 => [1,1,2,2,1] => 611
[8,6,1,4,3,5,7,2] => 1101001 => [2,1,1,2,1] => 603
[8,6,4,1,3,5,7,2] => 1110001 => [3,3,1] => 110
[8,6,2,1,3,5,7,4] => 1110001 => [3,3,1] => 110
[8,4,2,1,3,5,7,6] => 1110001 => [3,3,1] => 110
[7,8,6,5,2,1,4,3] => 0111101 => [1,4,1,1] => 145
[5,7,4,1,8,6,3,2] => 0110111 => [1,2,1,3] => 262
[5,6,4,2,8,3,7,1] => 0110101 => [1,2,1,1,1,1] => 969
[5,6,4,2,7,3,1,8] => 0110110 => [1,2,1,2,1] => 603
[5,7,1,4,6,3,2,8] => 0100110 => [1,1,2,2,1] => 611
[5,8,1,4,6,3,7,2] => 0100101 => [1,1,2,1,1,1] => 984
[3,6,7,4,5,8,2,1] => 0010011 => [2,1,2,2] => 363
[3,5,7,4,6,8,2,1] => 0010011 => [2,1,2,2] => 363
[6,8,4,1,7,2,5,3] => 0110101 => [1,2,1,1,1,1] => 969
[5,4,6,1,7,8,3,2] => 1010011 => [1,1,1,2,2] => 622
[5,6,4,1,8,7,3,2] => 0110111 => [1,2,1,3] => 262
[3,5,8,4,6,7,2,1] => 0010011 => [2,1,2,2] => 363
[3,6,8,4,5,7,2,1] => 0010011 => [2,1,2,2] => 363
[3,7,8,4,5,6,2,1] => 0010011 => [2,1,2,2] => 363
[6,8,1,4,5,3,7,2] => 0100101 => [1,1,2,1,1,1] => 984
[6,7,1,4,5,3,2,8] => 0100110 => [1,1,2,2,1] => 611
[3,7,1,5,4,6,2,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,8,1,5,4,6,7,2] => 0101001 => [1,1,1,1,2,1] => 1023
[3,7,1,5,4,6,8,2] => 0101001 => [1,1,1,1,2,1] => 1023
[6,7,1,4,5,3,8,2] => 0100101 => [1,1,2,1,1,1] => 984
[5,7,1,4,6,3,8,2] => 0100101 => [1,1,2,1,1,1] => 984
[5,6,4,2,7,3,8,1] => 0110101 => [1,2,1,1,1,1] => 969
[5,4,7,2,8,3,1,6] => 1010110 => [1,1,1,1,2,1] => 1023
[5,4,7,2,8,3,6,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,6,4,2,8,3,1,7] => 0110110 => [1,2,1,2,1] => 603
[5,8,1,4,6,3,2,7] => 0100110 => [1,1,2,2,1] => 611
[3,8,1,5,4,6,2,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,6,1,5,4,2,7,8] => 0101100 => [1,1,1,2,2] => 622
[3,6,1,5,4,8,2,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[6,8,3,1,4,2,5,7] => 0110100 => [1,2,1,1,2] => 603
[7,3,8,1,4,2,5,6] => 1010100 => [1,1,1,1,1,2] => 1023
[6,7,3,1,4,2,8,5] => 0110101 => [1,2,1,1,1,1] => 969
[3,6,1,5,4,7,8,2] => 0101001 => [1,1,1,1,2,1] => 1023
[3,4,1,2,7,6,5,8] => 0100110 => [1,1,2,2,1] => 611
[3,4,1,2,6,8,7,5] => 0100011 => [1,1,3,2] => 265
[6,8,3,1,4,7,2,5] => 0110010 => [1,2,2,1,1] => 594
[6,4,7,2,8,5,1,3] => 1010110 => [1,1,1,1,2,1] => 1023
[5,8,1,4,7,3,2,6] => 0100110 => [1,1,2,2,1] => 611
[7,8,1,4,5,3,2,6] => 0100110 => [1,1,2,2,1] => 611
[3,8,1,5,4,7,2,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,6,1,5,4,8,7,2] => 0101011 => [1,1,1,1,1,2] => 1023
[3,6,1,5,4,7,2,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[6,7,3,1,4,2,5,8] => 0110100 => [1,2,1,1,2] => 603
[6,8,3,1,4,2,7,5] => 0110101 => [1,2,1,1,1,1] => 969
[7,8,3,1,4,6,2,5] => 0110010 => [1,2,2,1,1] => 594
[7,8,4,2,6,5,1,3] => 0110110 => [1,2,1,2,1] => 603
[6,5,8,7,3,4,2,1] => 1011011 => [1,1,2,1,2] => 611
[7,8,3,1,4,6,5,2] => 0110011 => [1,2,2,2] => 363
[6,7,3,1,4,5,2,8] => 0110010 => [1,2,2,1,1] => 594
[3,7,1,5,4,2,6,8] => 0101100 => [1,1,1,2,2] => 622
[3,8,1,5,4,2,7,6] => 0101101 => [1,1,1,2,1,1] => 1006
[5,8,1,4,7,3,6,2] => 0100101 => [1,1,2,1,1,1] => 984
[6,8,4,2,7,5,3,1] => 0110111 => [1,2,1,3] => 262
[6,4,7,2,8,5,3,1] => 1010111 => [1,1,1,1,3] => 450
[6,3,7,1,4,8,5,2] => 1010011 => [1,1,1,2,2] => 622
[6,8,3,1,4,7,5,2] => 0110011 => [1,2,2,2] => 363
[3,7,1,5,4,8,6,2] => 0101011 => [1,1,1,1,1,2] => 1023
[3,4,1,2,8,5,7,6] => 0100101 => [1,1,2,1,1,1] => 984
[3,4,1,2,5,8,7,6] => 0100011 => [1,1,3,2] => 265
[3,7,1,5,4,2,8,6] => 0101101 => [1,1,1,2,1,1] => 1006
[6,7,3,1,4,5,8,2] => 0110001 => [1,2,3,1] => 262
[7,3,8,1,4,5,2,6] => 1010010 => [1,1,1,2,1,1] => 1006
[7,3,8,1,4,5,6,2] => 1010001 => [1,1,1,3,1] => 450
[6,8,3,1,4,5,2,7] => 0110010 => [1,2,2,1,1] => 594
[3,8,1,5,4,2,6,7] => 0101100 => [1,1,1,2,2] => 622
[9,8,7,6,5,4,2,1,3] => 11111110 => [7,1] => 8
[9,8,7,6,5,3,2,1,4] => 11111110 => [7,1] => 8
[8,7,6,3,5,2,1,4] => 1110110 => [3,1,2,1] => 259
[9,8,7,6,4,3,2,1,5] => 11111110 => [7,1] => 8
[8,7,4,6,3,2,1,5] => 1101110 => [2,1,3,1] => 262
[9,8,7,5,4,3,2,1,6] => 11111110 => [7,1] => 8
[8,5,7,4,3,2,1,6] => 1011110 => [1,1,4,1] => 148
[9,8,6,5,4,3,2,1,7] => 11111110 => [7,1] => 8
[9,7,6,5,4,3,2,1,8] => 11111110 => [7,1] => 8
[9,8,7,6,5,4,1,3,2] => 11111101 => [6,1,1] => 50
[9,8,7,6,5,2,4,1,3] => 11111010 => [5,1,1,1] => 240
[9,8,7,6,3,5,2,1,4] => 11110110 => [4,1,2,1] => 526
[8,7,6,2,5,4,1,3] => 1110110 => [3,1,2,1] => 259
[9,8,7,4,6,3,2,1,5] => 11101110 => [3,1,3,1] => 676
[8,5,4,7,3,2,1,6] => 1101110 => [2,1,3,1] => 262
[8,7,3,6,5,2,1,4] => 1101110 => [2,1,3,1] => 262
[9,8,5,7,4,3,2,1,6] => 11011110 => [2,1,4,1] => 534
[6,5,8,4,3,2,1,7] => 1011110 => [1,1,4,1] => 148
[8,4,7,6,3,2,1,5] => 1011110 => [1,1,4,1] => 148
[9,6,8,5,4,3,2,1,7] => 10111110 => [1,1,5,1] => 244
[5,8,7,4,3,2,1,6] => 0111110 => [1,5,1] => 37
[5,8,6,2,3,4,7,1] => 0110001 => [1,2,3,1] => 262
[4,5,2,7,3,1,8,6] => 0101101 => [1,1,1,2,1,1] => 1006
[4,8,2,6,3,5,7,1] => 0101001 => [1,1,1,1,2,1] => 1023
[4,3,7,8,6,5,1,2] => 1001110 => [1,2,3,1] => 262
[4,1,7,2,5,8,6,3] => 1010011 => [1,1,1,2,2] => 622
[7,8,2,1,5,6,4,3] => 0110011 => [1,2,2,2] => 363
[1,6,2,5,8,4,3,7] => 0100110 => [1,1,2,2,1] => 611
[2,1,8,7,4,5,3,6] => 1011010 => [1,1,2,1,1,1] => 984
[7,3,1,6,8,5,2,4] => 1100110 => [2,2,2,1] => 357
[1,5,8,6,2,3,7,4] => 0011001 => [2,2,2,1] => 357
[2,4,8,3,1,6,5,7] => 0011010 => [2,2,1,1,1] => 582
[5,2,7,1,8,6,3,4] => 1010110 => [1,1,1,1,2,1] => 1023
[2,6,1,3,8,7,4,5] => 0100110 => [1,1,2,2,1] => 611
[6,5,2,8,1,7,3,4] => 1101010 => [2,1,1,1,1,1] => 969
[2,8,3,5,1,7,4,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,4,3,8,7,1,6,2] => 1101101 => [2,1,2,1,1] => 594
[8,5,4,3,7,2,6,1] => 1110101 => [3,1,1,1,1] => 427
[8,3,7,4,2,6,5,1] => 1011011 => [1,1,2,1,2] => 611
[2,8,6,5,1,7,4,3] => 0111011 => [1,3,1,2] => 259
[6,3,2,8,4,1,7,5] => 1101101 => [2,1,2,1,1] => 594
[2,8,3,4,1,7,5,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,4,2,8,3,1,7,6] => 1101101 => [2,1,2,1,1] => 594
[2,8,4,3,1,7,6,5] => 0111011 => [1,3,1,2] => 259
[2,8,5,3,1,7,6,4] => 0111011 => [1,3,1,2] => 259
[2,8,6,4,1,7,5,3] => 0111011 => [1,3,1,2] => 259
[3,8,7,5,1,6,4,2] => 0111011 => [1,3,1,2] => 259
[8,3,7,5,2,6,4,1] => 1011011 => [1,1,2,1,2] => 611
[8,4,7,6,2,5,3,1] => 1011011 => [1,1,2,1,2] => 611
[4,8,7,6,1,5,3,2] => 0111011 => [1,3,1,2] => 259
[7,4,8,6,2,1,5,3] => 1011101 => [1,1,3,1,1] => 439
[7,3,8,5,2,1,6,4] => 1011101 => [1,1,3,1,1] => 439
[7,3,8,4,2,1,6,5] => 1011101 => [1,1,3,1,1] => 439
[7,5,4,3,8,2,1,6] => 1110110 => [3,1,2,1] => 259
[3,7,8,4,1,2,6,5] => 0011001 => [2,2,2,1] => 357
[3,7,8,5,1,2,6,4] => 0011001 => [2,2,2,1] => 357
[4,7,8,6,1,2,5,3] => 0011001 => [2,2,2,1] => 357
[8,7,4,6,3,5,2,1] => 1101011 => [2,1,1,1,2] => 603
[5,7,8,6,1,2,4,3] => 0011001 => [2,2,2,1] => 357
[6,4,7,8,3,1,2,5] => 1001100 => [1,2,2,2] => 363
[7,3,4,8,2,1,5,6] => 1001100 => [1,2,2,2] => 363
[7,6,4,8,3,2,1,5] => 1101110 => [2,1,3,1] => 262
[7,5,8,6,2,1,4,3] => 1011101 => [1,1,3,1,1] => 439
[6,5,8,7,3,1,4,2] => 1011101 => [1,1,3,1,1] => 439
[2,4,8,3,1,5,7,6] => 0011001 => [2,2,2,1] => 357
[6,3,2,4,8,1,5,7] => 1100100 => [2,2,1,2] => 357
[2,3,8,4,1,6,7,5] => 0011001 => [2,2,2,1] => 357
[2,3,8,5,1,6,7,4] => 0011001 => [2,2,2,1] => 357
[6,4,8,7,3,1,5,2] => 1011101 => [1,1,3,1,1] => 439
[8,6,4,7,3,2,5,1] => 1101101 => [2,1,2,1,1] => 594
[8,3,4,7,2,5,6,1] => 1001001 => [1,2,1,2,1] => 603
[3,4,8,7,1,5,6,2] => 0011001 => [2,2,2,1] => 357
[2,4,8,6,1,5,7,3] => 0011001 => [2,2,2,1] => 357
[2,5,8,6,1,4,7,3] => 0011001 => [2,2,2,1] => 357
[8,3,5,7,2,4,6,1] => 1001001 => [1,2,1,2,1] => 603
[8,4,6,7,2,3,5,1] => 1001001 => [1,2,1,2,1] => 603
[4,6,8,7,1,3,5,2] => 0011001 => [2,2,2,1] => 357
[2,6,8,5,1,3,7,4] => 0011001 => [2,2,2,1] => 357
[2,6,8,4,1,3,7,5] => 0011001 => [2,2,2,1] => 357
[2,5,8,3,1,4,7,6] => 0011001 => [2,2,2,1] => 357
[5,6,8,7,1,3,4,2] => 0011001 => [2,2,2,1] => 357
[7,4,6,8,2,1,3,5] => 1001100 => [1,2,2,2] => 363
[2,3,5,4,1,8,6,7] => 0011010 => [2,2,1,1,1] => 582
[2,3,6,4,8,1,5,7] => 0010100 => [2,1,1,1,2] => 603
[1,8,4,6,3,5,2,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,4,8,6,2,1,3,7] => 1011100 => [1,1,3,2] => 265
[2,3,6,8,1,5,4,7] => 0001010 => [3,1,1,1,1] => 427
[2,5,6,1,4,7,8,3] => 0010001 => [2,1,3,1] => 262
[2,5,6,1,4,7,3,8] => 0010010 => [2,1,2,1,1] => 594
[7,3,5,1,6,8,4,2] => 1010011 => [1,1,1,2,2] => 622
[2,7,6,1,8,5,4,3] => 0110111 => [1,2,1,3] => 262
[2,7,6,8,1,4,5,3] => 0101001 => [1,1,1,1,2,1] => 1023
[1,8,7,6,3,2,5,4] => 0111101 => [1,4,1,1] => 145
[1,8,7,6,3,2,4,5] => 0111100 => [1,4,2] => 85
[5,7,8,6,2,3,4,1] => 0011001 => [2,2,2,1] => 357
[2,7,6,1,8,5,3,4] => 0110110 => [1,2,1,2,1] => 603
[6,3,5,1,7,2,4,8] => 1010100 => [1,1,1,1,1,2] => 1023
[2,3,4,7,6,1,5,8] => 0001100 => [3,2,2] => 153
[7,3,5,8,4,1,2,6] => 1001100 => [1,2,2,2] => 363
[1,8,4,5,2,7,3,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,8,4,5,2,7,6,3] => 0101011 => [1,1,1,1,1,2] => 1023
[7,3,5,8,4,1,6,2] => 1001101 => [1,2,2,1,1] => 594
[2,7,6,4,8,5,1,3] => 0110110 => [1,2,1,2,1] => 603
[7,3,5,4,6,8,1,2] => 1010010 => [1,1,1,2,1,1] => 1006
[6,3,5,4,7,1,8,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,3,5,4,7,1,2,8] => 1010100 => [1,1,1,1,1,2] => 1023
[3,4,1,5,6,8,7,2] => 0100011 => [1,1,3,2] => 265
[3,7,1,6,8,5,2,4] => 0100110 => [1,1,2,2,1] => 611
[2,3,1,8,6,4,7,5] => 0101101 => [1,1,1,2,1,1] => 1006
[1,8,4,3,6,2,5,7] => 0110100 => [1,2,1,1,2] => 603
[2,3,1,8,6,4,5,7] => 0101100 => [1,1,1,2,2] => 622
[3,7,1,6,8,5,4,2] => 0100111 => [1,1,2,3] => 265
[6,3,5,4,7,2,1,8] => 1010110 => [1,1,1,1,2,1] => 1023
[7,3,5,4,6,8,2,1] => 1010011 => [1,1,1,2,2] => 622
[2,7,6,4,8,5,3,1] => 0110111 => [1,2,1,3] => 262
[1,8,4,5,2,6,3,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[6,4,8,5,3,1,2,7] => 1011100 => [1,1,3,2] => 265
[7,3,5,8,4,6,2,1] => 1001011 => [1,2,1,1,2] => 603
[2,3,4,6,5,8,1,7] => 0001010 => [3,1,1,1,1] => 427
[2,3,4,7,5,1,8,6] => 0001101 => [3,2,1,1] => 256
[2,3,4,7,5,1,6,8] => 0001100 => [3,2,2] => 153
[2,3,4,7,1,6,5,8] => 0001010 => [3,1,1,1,1] => 427
[2,3,4,7,1,6,8,5] => 0001001 => [3,1,2,1] => 259
[2,3,4,6,1,8,7,5] => 0001011 => [3,1,1,2] => 259
[6,3,5,8,4,2,7,1] => 1001101 => [1,2,2,1,1] => 594
[7,4,8,5,3,2,1,6] => 1011110 => [1,1,4,1] => 148
[1,8,4,5,2,3,6,7] => 0101000 => [1,1,1,1,3] => 450
[7,4,8,5,3,2,6,1] => 1011101 => [1,1,3,1,1] => 439
[6,3,5,8,4,2,1,7] => 1001110 => [1,2,3,1] => 262
[5,2,4,6,8,3,7,1] => 1000101 => [1,3,1,1,1] => 427
[1,5,7,4,6,3,2,8] => 0010110 => [2,1,1,2,1] => 603
[5,2,8,4,6,3,7,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[3,8,5,4,6,7,2,1] => 0110011 => [1,2,2,2] => 363
[6,8,3,4,5,7,2,1] => 0100011 => [1,1,3,2] => 265
[2,5,7,4,6,3,8,1] => 0010101 => [2,1,1,1,1,1] => 969
[5,4,1,7,8,3,2,6] => 1100110 => [2,2,2,1] => 357
[5,4,2,7,8,3,6,1] => 1100101 => [2,2,1,1,1] => 582
[5,1,4,6,8,3,2,7] => 1000110 => [1,3,2,1] => 259
[5,1,8,4,6,3,2,7] => 1010110 => [1,1,1,1,2,1] => 1023
[8,1,6,4,5,3,2,7] => 1010110 => [1,1,1,1,2,1] => 1023
[8,1,3,5,4,6,2,7] => 1001010 => [1,2,1,1,1,1] => 969
[8,1,6,2,4,3,5,7] => 1010100 => [1,1,1,1,1,2] => 1023
[8,7,1,2,4,3,5,6] => 1100100 => [2,2,1,2] => 357
[1,7,6,2,4,3,5,8] => 0110100 => [1,2,1,1,2] => 603
[8,7,3,2,4,6,5,1] => 1110011 => [3,2,2] => 153
[8,2,6,3,4,5,7,1] => 1010001 => [1,1,1,3,1] => 450
[1,7,6,3,4,5,2,8] => 0110010 => [1,2,2,1,1] => 594
[1,7,2,5,4,3,6,8] => 0101100 => [1,1,1,2,2] => 622
[8,7,2,4,5,3,6,1] => 1100101 => [2,2,1,1,1] => 582
[5,8,2,4,7,3,6,1] => 0100101 => [1,1,2,1,1,1] => 984
[6,8,3,2,4,7,5,1] => 0110011 => [1,2,2,2] => 363
[8,7,1,3,4,5,2,6] => 1100010 => [2,3,1,1] => 256
[8,1,6,3,4,5,2,7] => 1010010 => [1,1,1,2,1,1] => 1006
[8,1,2,5,4,3,6,7] => 1001100 => [1,2,2,2] => 363
[3,4,8,7,5,2,6,1] => 0011101 => [2,3,1,1] => 256
[3,2,8,6,1,5,4,7] => 1011010 => [1,1,2,1,1,1] => 984
[8,6,1,2,4,3,5,7] => 1100100 => [2,2,1,2] => 357
[8,7,3,6,4,2,5,1] => 1101101 => [2,1,2,1,1] => 594
[3,8,7,2,5,4,6,1] => 0110101 => [1,2,1,1,1,1] => 969
[8,7,2,4,5,6,3,1] => 1100011 => [2,3,2] => 153
[5,3,6,2,4,8,7,1] => 1010011 => [1,1,1,2,2] => 622
[3,5,2,8,6,1,4,7] => 0101100 => [1,1,1,2,2] => 622
[3,7,2,5,1,4,8,6] => 0101001 => [1,1,1,1,2,1] => 1023
[5,1,8,6,2,3,4,7] => 1011000 => [1,1,2,3] => 265
[2,5,4,1,8,6,3,7] => 0110110 => [1,2,1,2,1] => 603
[3,7,6,1,8,2,5,4] => 0110101 => [1,2,1,1,1,1] => 969
[7,6,3,1,8,2,4,5] => 1110100 => [3,1,1,2] => 259
[8,2,3,6,1,4,7,5] => 1001001 => [1,2,1,2,1] => 603
[1,8,2,6,3,4,7,5] => 0101001 => [1,1,1,1,2,1] => 1023
[8,1,3,6,4,7,2,5] => 1001010 => [1,2,1,1,1,1] => 969
[7,1,3,6,4,8,2,5] => 1001010 => [1,2,1,1,1,1] => 969
[8,2,1,3,5,7,4,6] => 1100010 => [2,3,1,1] => 256
[8,2,6,3,1,4,7,5] => 1011001 => [1,1,2,2,1] => 611
[7,5,4,1,3,8,2,6] => 1110010 => [3,2,1,1] => 256
[2,7,5,8,3,4,1,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[7,3,8,5,4,1,2,6] => 1011100 => [1,1,3,2] => 265
[7,2,3,6,1,4,8,5] => 1001001 => [1,2,1,2,1] => 603
[1,3,7,2,5,8,4,6] => 0010010 => [2,1,2,1,1] => 594
[1,7,2,3,5,8,4,6] => 0100010 => [1,1,3,1,1] => 439
[7,4,8,1,3,6,2,5] => 1010010 => [1,1,1,2,1,1] => 1006
[8,1,2,3,5,7,4,6] => 1000010 => [1,4,1,1] => 145
[7,1,2,3,5,8,4,6] => 1000010 => [1,4,1,1] => 145
[8,6,1,4,7,3,2,5] => 1100110 => [2,2,2,1] => 357
[2,6,3,7,1,4,8,5] => 0101001 => [1,1,1,1,2,1] => 1023
[2,6,3,8,1,4,7,5] => 0101001 => [1,1,1,1,2,1] => 1023
[7,5,4,8,1,3,2,6] => 1101010 => [2,1,1,1,1,1] => 969
[8,5,4,7,1,3,2,6] => 1101010 => [2,1,1,1,1,1] => 969
[2,3,1,8,5,4,6,7] => 0101100 => [1,1,1,2,2] => 622
[8,6,5,1,3,4,2,7] => 1110010 => [3,2,1,1] => 256
[8,5,1,7,6,3,4,2] => 1101101 => [2,1,2,1,1] => 594
[3,4,7,6,1,8,5,2] => 0011011 => [2,2,1,2] => 357
[3,5,2,6,7,1,8,4] => 0100101 => [1,1,2,1,1,1] => 984
[3,2,8,4,7,5,1,6] => 1010110 => [1,1,1,1,2,1] => 1023
[8,4,7,5,1,3,2,6] => 1011010 => [1,1,2,1,1,1] => 984
[3,8,1,6,5,2,7,4] => 0101101 => [1,1,1,2,1,1] => 1006
[6,1,2,8,3,4,7,5] => 1001001 => [1,2,1,2,1] => 603
[6,8,3,1,7,2,4,5] => 0110100 => [1,2,1,1,2] => 603
[3,7,2,5,6,1,8,4] => 0100101 => [1,1,2,1,1,1] => 984
[6,8,4,2,5,1,7,3] => 0110101 => [1,2,1,1,1,1] => 969
[2,7,5,3,8,4,1,6] => 0110110 => [1,2,1,2,1] => 603
[8,3,1,4,7,2,6,5] => 1100101 => [2,2,1,1,1] => 582
[8,3,2,1,5,7,4,6] => 1110010 => [3,2,1,1] => 256
[2,8,3,6,4,7,1,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[7,3,6,4,8,1,2,5] => 1010100 => [1,1,1,1,1,2] => 1023
[8,3,6,4,7,1,2,5] => 1010100 => [1,1,1,1,1,2] => 1023
[1,2,8,3,5,7,4,6] => 0010010 => [2,1,2,1,1] => 594
[1,8,3,2,5,7,4,6] => 0110010 => [1,2,2,1,1] => 594
[6,5,1,7,4,2,8,3] => 1101101 => [2,1,2,1,1] => 594
[7,3,6,4,8,2,1,5] => 1010110 => [1,1,1,1,2,1] => 1023
[4,6,1,7,3,5,2,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,6,1,7,3,4,2,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[6,1,7,3,4,2,8,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,3,8,1,6,5,2,4] => 1010110 => [1,1,1,1,2,1] => 1023
[8,3,7,1,6,5,2,4] => 1010110 => [1,1,1,1,2,1] => 1023
[5,1,7,4,2,8,6,3] => 1011011 => [1,1,2,1,2] => 611
[2,8,1,7,6,5,3,4] => 0101110 => [1,1,1,3,1] => 450
[4,2,8,6,5,1,7,3] => 1011101 => [1,1,3,1,1] => 439
[6,4,2,8,5,1,7,3] => 1101101 => [2,1,2,1,1] => 594
[8,6,4,7,1,5,2,3] => 1101010 => [2,1,1,1,1,1] => 969
[7,6,4,8,1,5,2,3] => 1101010 => [2,1,1,1,1,1] => 969
[5,1,6,4,2,3,8,7] => 1011001 => [1,1,2,2,1] => 611
[4,2,3,8,7,5,1,6] => 1001110 => [1,2,3,1] => 262
[3,8,7,1,6,5,2,4] => 0110110 => [1,2,1,2,1] => 603
[2,4,3,8,1,6,7,5] => 0101001 => [1,1,1,1,2,1] => 1023
[2,4,3,7,1,6,8,5] => 0101001 => [1,1,1,1,2,1] => 1023
[4,2,3,7,8,5,1,6] => 1000110 => [1,3,2,1] => 259
[5,1,6,4,2,3,7,8] => 1011000 => [1,1,2,3] => 265
[6,4,7,8,1,5,2,3] => 1001010 => [1,2,1,1,1,1] => 969
[8,7,4,6,1,5,2,3] => 1101010 => [2,1,1,1,1,1] => 969
[6,5,7,8,1,4,2,3] => 1001010 => [1,2,1,1,1,1] => 969
[4,7,8,6,1,5,2,3] => 0011010 => [2,2,1,1,1] => 582
[3,2,4,7,8,1,5,6] => 1000100 => [1,3,1,2] => 259
[3,2,4,8,7,1,5,6] => 1001100 => [1,2,2,2] => 363
[4,8,7,6,1,5,2,3] => 0111010 => [1,3,1,1,1] => 427
[5,8,7,6,1,4,2,3] => 0111010 => [1,3,1,1,1] => 427
[8,6,5,7,1,4,2,3] => 1101010 => [2,1,1,1,1,1] => 969
[5,1,6,7,4,2,3,8] => 1001100 => [1,2,2,2] => 363
[6,7,4,8,1,5,2,3] => 0101010 => [1,1,1,1,1,1,1] => 1623
[8,4,7,6,1,5,2,3] => 1011010 => [1,1,2,1,1,1] => 984
[8,3,2,4,7,1,5,6] => 1100100 => [2,2,1,2] => 357
[7,3,2,4,8,1,5,6] => 1100100 => [2,2,1,2] => 357
[2,5,3,7,1,6,4,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[8,4,6,7,1,5,2,3] => 1001010 => [1,2,1,1,1,1] => 969
[7,4,6,8,1,5,2,3] => 1001010 => [1,2,1,1,1,1] => 969
[5,1,6,8,4,2,3,7] => 1001100 => [1,2,2,2] => 363
[4,2,3,7,5,1,6,8] => 1001100 => [1,2,2,2] => 363
[3,7,5,8,1,6,2,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,4,3,7,1,6,5,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,4,7,1,5,8,6,3] => 0010011 => [2,1,2,2] => 363
[3,2,4,7,6,1,5,8] => 1001100 => [1,2,2,2] => 363
[4,7,6,8,1,5,2,3] => 0101010 => [1,1,1,1,1,1,1] => 1623
[8,5,6,7,1,4,2,3] => 1001010 => [1,2,1,1,1,1] => 969
[8,6,7,5,1,4,2,3] => 1011010 => [1,1,2,1,1,1] => 984
[7,6,8,5,1,4,2,3] => 1011010 => [1,1,2,1,1,1] => 984
[6,8,7,5,1,4,2,3] => 0111010 => [1,3,1,1,1] => 427
[5,6,8,7,1,4,2,3] => 0011010 => [2,2,1,1,1] => 582
[4,6,8,7,1,5,2,3] => 0011010 => [2,2,1,1,1] => 582
[2,4,6,7,1,5,8,3] => 0001001 => [3,1,2,1] => 259
[3,2,4,6,1,5,7,8] => 1001000 => [1,2,1,3] => 262
[6,7,8,5,1,4,2,3] => 0011010 => [2,2,1,1,1] => 582
[7,8,6,5,1,4,2,3] => 0111010 => [1,3,1,1,1] => 427
[3,1,7,5,4,2,8,6] => 1011101 => [1,1,3,1,1] => 439
[2,1,8,5,4,6,3,7] => 1011010 => [1,1,2,1,1,1] => 984
[4,1,8,5,2,3,6,7] => 1011000 => [1,1,2,3] => 265
[5,4,1,3,6,7,2,8] => 1100010 => [2,3,1,1] => 256
[8,4,1,2,6,3,7,5] => 1100101 => [2,2,1,1,1] => 582
[8,2,7,1,5,3,4,6] => 1010100 => [1,1,1,1,1,2] => 1023
[3,2,7,1,5,8,4,6] => 1010010 => [1,1,1,2,1,1] => 1006
[6,3,7,1,5,4,2,8] => 1010110 => [1,1,1,1,2,1] => 1023
[7,3,8,1,5,4,2,6] => 1010110 => [1,1,1,1,2,1] => 1023
[7,1,5,3,8,4,2,6] => 1010110 => [1,1,1,1,2,1] => 1023
[4,5,1,3,6,8,2,7] => 0100010 => [1,1,3,1,1] => 439
[3,6,8,1,5,4,2,7] => 0010110 => [2,1,1,2,1] => 603
[6,8,3,1,5,4,2,7] => 0110110 => [1,2,1,2,1] => 603
[7,6,3,1,5,4,2,8] => 1110110 => [3,1,2,1] => 259
[3,6,2,1,5,8,4,7] => 0110010 => [1,2,2,1,1] => 594
[8,6,2,1,5,3,4,7] => 1110100 => [3,1,1,2] => 259
[4,8,2,1,7,5,3,6] => 0110110 => [1,2,1,2,1] => 603
[2,3,8,1,5,7,4,6] => 0010010 => [2,1,2,1,1] => 594
[7,1,3,2,8,6,4,5] => 1010110 => [1,1,1,1,2,1] => 1023
[7,1,6,2,8,3,4,5] => 1010100 => [1,1,1,1,1,2] => 1023
[4,7,1,2,6,3,8,5] => 0100101 => [1,1,2,1,1,1] => 984
[2,7,8,1,5,3,4,6] => 0010100 => [2,1,1,1,2] => 603
[6,7,2,1,5,3,4,8] => 0110100 => [1,2,1,1,2] => 603
[4,7,2,1,8,5,3,6] => 0110110 => [1,2,1,2,1] => 603
[8,7,2,1,4,5,3,6] => 1110010 => [3,2,1,1] => 256
[8,7,5,6,1,4,3,2] => 1101011 => [2,1,1,1,2] => 603
[5,7,8,6,1,4,3,2] => 0011011 => [2,2,1,2] => 357
[2,7,4,1,6,5,3,8] => 0110110 => [1,2,1,2,1] => 603
[3,7,1,4,5,6,8,2] => 0100001 => [1,1,4,1] => 148
[7,1,6,4,5,8,3,2] => 1010011 => [1,1,1,2,2] => 622
[3,5,1,4,7,6,8,2] => 0100101 => [1,1,2,1,1,1] => 984
[2,6,4,1,7,5,3,8] => 0110110 => [1,2,1,2,1] => 603
[5,6,8,7,1,4,3,2] => 0011011 => [2,2,1,2] => 357
[6,8,5,7,1,4,3,2] => 0101011 => [1,1,1,1,1,2] => 1023
[8,6,5,7,1,4,3,2] => 1101011 => [2,1,1,1,2] => 603
[8,5,7,6,1,4,3,2] => 1011011 => [1,1,2,1,2] => 611
[6,5,7,8,1,4,3,2] => 1001011 => [1,2,1,1,2] => 603
[7,2,3,1,5,6,4,8] => 1010010 => [1,1,1,2,1,1] => 1006
[4,2,8,1,6,5,3,7] => 1010110 => [1,1,1,1,2,1] => 1023
[6,2,4,1,8,5,3,7] => 1010110 => [1,1,1,1,2,1] => 1023
[8,3,1,4,5,6,7,2] => 1100001 => [2,4,1] => 85
[5,3,1,4,8,6,7,2] => 1100101 => [2,2,1,1,1] => 582
[7,5,1,6,3,4,8,2] => 1101001 => [2,1,1,2,1] => 603
[7,1,5,8,4,3,6,2] => 1001101 => [1,2,2,1,1] => 594
[5,8,1,6,4,3,7,2] => 0101101 => [1,1,1,2,1,1] => 1006
[5,3,1,8,4,6,7,2] => 1101001 => [2,1,1,2,1] => 603
[8,3,1,5,4,6,7,2] => 1101001 => [2,1,1,2,1] => 603
[8,2,6,1,4,5,3,7] => 1010010 => [1,1,1,2,1,1] => 1006
[6,2,8,1,4,5,3,7] => 1010010 => [1,1,1,2,1,1] => 1006
[7,2,6,1,5,3,4,8] => 1010100 => [1,1,1,1,1,2] => 1023
[2,8,6,1,5,3,4,7] => 0110100 => [1,2,1,1,2] => 603
[4,2,1,5,6,3,8,7] => 1100101 => [2,2,1,1,1] => 582
[7,1,2,5,8,3,4,6] => 1000100 => [1,3,1,2] => 259
[7,1,4,5,6,8,3,2] => 1000011 => [1,4,2] => 85
[8,5,6,7,1,4,3,2] => 1001011 => [1,2,1,1,2] => 603
[7,6,8,5,1,4,3,2] => 1011011 => [1,1,2,1,2] => 611
[6,8,7,5,1,4,3,2] => 0111011 => [1,3,1,2] => 259
[2,6,7,1,4,5,3,8] => 0010010 => [2,1,2,1,1] => 594
[3,5,1,7,4,6,8,2] => 0101001 => [1,1,1,1,2,1] => 1023
[7,1,5,6,4,8,3,2] => 1001011 => [1,2,1,1,2] => 603
[7,1,6,5,4,8,3,2] => 1011011 => [1,1,2,1,2] => 611
[2,7,6,1,4,5,3,8] => 0110010 => [1,2,2,1,1] => 594
[5,7,6,8,1,4,3,2] => 0101011 => [1,1,1,1,1,2] => 1023
[7,8,6,5,1,4,3,2] => 0111011 => [1,3,1,2] => 259
[4,3,1,6,5,8,7,2] => 1101011 => [2,1,1,1,2] => 603
[5,3,1,2,4,8,7,6] => 1100011 => [2,3,2] => 153
[5,3,6,2,1,8,7,4] => 1011011 => [1,1,2,1,2] => 611
[5,3,7,2,1,4,6,8] => 1011000 => [1,1,2,3] => 265
[5,3,7,2,8,4,1,6] => 1010110 => [1,1,1,1,2,1] => 1023
[7,2,4,5,8,3,1,6] => 1000110 => [1,3,2,1] => 259
[7,2,4,5,1,3,6,8] => 1001000 => [1,2,1,3] => 262
[6,2,4,5,1,8,7,3] => 1001011 => [1,2,1,1,2] => 603
[3,1,4,5,2,8,7,6] => 1001011 => [1,2,1,1,2] => 603
[1,6,4,5,2,8,7,3] => 0101011 => [1,1,1,1,1,2] => 1023
[3,7,4,5,1,2,6,8] => 0101000 => [1,1,1,1,3] => 450
[3,7,4,5,8,2,1,6] => 0100110 => [1,1,2,2,1] => 611
[1,7,4,2,6,3,5,8] => 0110100 => [1,2,1,1,2] => 603
[8,7,4,5,2,1,6,3] => 1101101 => [2,1,2,1,1] => 594
[6,3,7,1,8,4,2,5] => 1010110 => [1,1,1,1,2,1] => 1023
[5,7,4,1,6,3,2,8] => 0110110 => [1,2,1,2,1] => 603
[1,7,4,8,6,3,2,5] => 0101110 => [1,1,1,3,1] => 450
[5,7,4,8,6,3,1,2] => 0101110 => [1,1,1,3,1] => 450
[4,8,3,5,6,7,1,2] => 0100010 => [1,1,3,1,1] => 439
[1,8,3,5,6,7,2,4] => 0100010 => [1,1,3,1,1] => 439
[4,8,1,5,6,7,2,3] => 0100010 => [1,1,3,1,1] => 439
[4,1,3,5,6,7,2,8] => 1000010 => [1,4,1,1] => 145
[5,8,4,3,6,1,2,7] => 0110100 => [1,2,1,1,2] => 603
[5,3,8,4,1,7,2,6] => 1011010 => [1,1,2,1,1,1] => 984
[1,5,8,4,6,7,3,2] => 0010011 => [2,1,2,2] => 363
[1,4,8,3,6,7,5,2] => 0010011 => [2,1,2,2] => 363
[4,3,8,2,1,7,5,6] => 1011010 => [1,1,2,1,1,1] => 984
[3,8,4,2,6,1,5,7] => 0110100 => [1,2,1,1,2] => 603
[1,8,2,5,6,7,4,3] => 0100011 => [1,1,3,2] => 265
[3,8,1,5,6,7,4,2] => 0100011 => [1,1,3,2] => 265
[3,8,2,5,6,7,1,4] => 0100010 => [1,1,3,1,1] => 439
[8,2,1,5,6,7,4,3] => 1100011 => [2,3,2] => 153
[8,1,3,5,6,7,4,2] => 1000011 => [1,4,2] => 85
[7,1,4,3,6,2,5,8] => 1010100 => [1,1,1,1,1,2] => 1023
[7,8,4,3,6,2,1,5] => 0110110 => [1,2,1,2,1] => 603
[4,3,1,8,5,7,6,2] => 1101011 => [2,1,1,1,2] => 603
[4,3,1,6,8,7,5,2] => 1100111 => [2,2,3] => 153
[6,3,1,8,2,7,4,5] => 1101010 => [2,1,1,1,1,1] => 969
[6,3,5,8,2,7,1,4] => 1001010 => [1,2,1,1,1,1] => 969
[7,5,4,8,6,2,1,3] => 1101110 => [2,1,3,1] => 262
[7,1,4,8,6,2,3,5] => 1001100 => [1,2,2,2] => 363
[7,5,4,1,6,2,3,8] => 1110100 => [3,1,1,2] => 259
[7,6,4,5,8,1,3,2] => 1100101 => [2,2,1,1,1] => 582
[1,6,4,5,8,2,3,7] => 0100100 => [1,1,2,1,2] => 611
[7,3,6,1,8,2,4,5] => 1010100 => [1,1,1,1,1,2] => 1023
[1,7,6,5,8,3,4,2] => 0110101 => [1,2,1,1,1,1] => 969
[1,8,5,3,6,7,4,2] => 0110011 => [1,2,2,2] => 363
[8,3,5,2,1,7,4,6] => 1011010 => [1,1,2,1,1,1] => 984
[8,4,1,5,6,7,3,2] => 1100011 => [2,3,2] => 153
[8,4,2,5,6,7,1,3] => 1100010 => [2,3,1,1] => 256
[4,1,8,5,6,7,3,2] => 1010011 => [1,1,1,2,2] => 622
[1,2,8,5,6,7,3,4] => 0010010 => [2,1,2,1,1] => 594
[4,2,1,5,6,7,3,8] => 1100010 => [2,3,1,1] => 256
[1,5,3,8,6,7,4,2] => 0101011 => [1,1,1,1,1,2] => 1023
[1,4,5,8,6,7,3,2] => 0001011 => [3,1,1,2] => 259
[4,3,5,8,1,7,2,6] => 1001010 => [1,2,1,1,1,1] => 969
[3,5,4,8,6,1,2,7] => 0101100 => [1,1,1,2,2] => 622
[1,4,8,5,6,7,2,3] => 0010010 => [2,1,2,1,1] => 594
[3,4,8,5,6,7,1,2] => 0010010 => [2,1,2,1,1] => 594
[2,7,1,5,6,3,4,8] => 0100100 => [1,1,2,1,2] => 611
[2,7,1,4,3,6,5,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,3,7,2,5,6,8,1] => 1010001 => [1,1,1,3,1] => 450
[2,6,3,1,4,5,8,7] => 0110001 => [1,2,3,1] => 262
[3,7,1,4,2,6,8,5] => 0101001 => [1,1,1,1,2,1] => 1023
[3,7,1,5,6,2,8,4] => 0100101 => [1,1,2,1,1,1] => 984
[4,7,1,5,6,8,2,3] => 0100010 => [1,1,3,1,1] => 439
[8,5,2,6,7,3,1,4] => 1100110 => [2,2,2,1] => 357
[8,4,2,6,3,7,1,5] => 1101010 => [2,1,1,1,1,1] => 969
[8,4,2,3,5,7,1,6] => 1100010 => [2,3,1,1] => 256
[4,7,3,2,5,6,1,8] => 0110010 => [1,2,2,1,1] => 594
[5,3,4,6,2,8,1,7] => 1001010 => [1,2,1,1,1,1] => 969
[5,3,7,4,2,8,1,6] => 1011010 => [1,1,2,1,1,1] => 984
[6,4,7,2,3,8,1,5] => 1010010 => [1,1,1,2,1,1] => 1006
[6,5,7,2,8,3,1,4] => 1010110 => [1,1,1,1,2,1] => 1023
[5,3,7,2,4,8,6,1] => 1010011 => [1,1,1,2,2] => 622
[2,6,5,1,8,3,4,7] => 0110100 => [1,2,1,1,2] => 603
[8,7,6,1,4,5,2,3] => 1110010 => [3,2,1,1] => 256
[8,7,6,1,3,2,5,4] => 1110101 => [3,1,1,1,1] => 427
[8,7,2,4,3,1,6,5] => 1101101 => [2,1,2,1,1] => 594
[8,7,4,5,1,6,2,3] => 1101010 => [2,1,1,1,1,1] => 969
[8,5,6,4,1,7,2,3] => 1011010 => [1,1,2,1,1,1] => 984
[8,5,6,3,1,2,7,4] => 1011001 => [1,1,2,2,1] => 611
[8,4,6,2,3,1,7,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,3,5,4,2,1,7,6] => 1011101 => [1,1,3,1,1] => 439
[5,7,3,4,2,1,8,6] => 0101101 => [1,1,1,2,1,1] => 1006
[6,7,4,2,3,1,8,5] => 0110101 => [1,2,1,1,1,1] => 969
[6,7,5,3,1,2,8,4] => 0111001 => [1,3,2,1] => 259
[6,7,5,4,1,8,2,3] => 0111010 => [1,3,1,1,1] => 427
[6,2,4,3,8,7,5,1] => 1010111 => [1,1,1,1,3] => 450
[7,3,5,4,1,8,6,2] => 1011011 => [1,1,2,1,2] => 611
[5,2,7,1,3,4,8,6] => 1010001 => [1,1,1,3,1] => 450
[2,6,5,7,3,1,4,8] => 0101100 => [1,1,1,2,2] => 622
[2,6,5,7,3,1,8,4] => 0101101 => [1,1,1,2,1,1] => 1006
[6,3,1,4,7,8,5,2] => 1100011 => [2,3,2] => 153
[6,8,2,1,3,4,5,7] => 0110000 => [1,2,4] => 85
[3,7,1,8,4,5,2,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[6,3,2,4,7,5,8,1] => 1100101 => [2,2,1,1,1] => 582
[6,3,2,4,7,5,1,8] => 1100110 => [2,2,2,1] => 357
[4,2,1,6,3,7,5,8] => 1101010 => [2,1,1,1,1,1] => 969
[4,2,1,6,3,7,8,5] => 1101001 => [2,1,1,2,1] => 603
[7,4,3,5,8,6,1,2] => 1100110 => [2,2,2,1] => 357
[2,7,6,8,3,1,4,5] => 0101100 => [1,1,1,2,2] => 622
[7,4,3,5,8,6,2,1] => 1100111 => [2,2,3] => 153
[4,2,1,7,3,8,6,5] => 1101011 => [2,1,1,1,2] => 603
[4,2,1,3,7,8,6,5] => 1100011 => [2,3,2] => 153
[5,8,1,7,4,3,6,2] => 0101101 => [1,1,1,2,1,1] => 1006
[5,8,1,7,4,3,2,6] => 0101110 => [1,1,1,3,1] => 450
[3,7,8,6,2,1,4,5] => 0011100 => [2,3,2] => 153
[4,2,1,8,3,5,6,7] => 1101000 => [2,1,1,3] => 262
[4,2,1,3,6,7,5,8] => 1100010 => [2,3,1,1] => 256
[4,2,1,3,7,5,6,8] => 1100100 => [2,2,1,2] => 357
[4,2,1,3,6,8,7,5] => 1100011 => [2,3,2] => 153
[7,3,2,4,8,6,5,1] => 1100111 => [2,2,3] => 153
[4,2,1,6,3,8,7,5] => 1101011 => [2,1,1,1,2] => 603
[4,2,1,7,3,5,6,8] => 1101000 => [2,1,1,3] => 262
[3,6,7,5,2,1,4,8] => 0011100 => [2,3,2] => 153
[3,6,7,5,2,1,8,4] => 0011101 => [2,3,1,1] => 256
[7,3,4,2,6,8,5,1] => 1010011 => [1,1,1,2,2] => 622
[4,8,6,2,7,3,5,1] => 0110101 => [1,2,1,1,1,1] => 969
[7,3,4,2,6,8,1,5] => 1010010 => [1,1,1,2,1,1] => 1006
[3,6,7,5,2,4,8,1] => 0011001 => [2,2,2,1] => 357
[3,6,7,5,2,4,1,8] => 0011010 => [2,2,1,1,1] => 582
[4,2,1,7,3,6,5,8] => 1101010 => [2,1,1,1,1,1] => 969
[4,2,1,7,3,6,8,5] => 1101001 => [2,1,1,2,1] => 603
[3,7,6,8,4,2,5,1] => 0101101 => [1,1,1,2,1,1] => 1006
[5,8,1,7,4,2,6,3] => 0101101 => [1,1,1,2,1,1] => 1006
[3,7,8,6,2,4,5,1] => 0011001 => [2,2,2,1] => 357
[4,2,1,3,8,6,7,5] => 1100101 => [2,2,1,1,1] => 582
[4,2,1,3,7,6,5,8] => 1100110 => [2,2,2,1] => 357
[4,2,1,3,5,7,6,8] => 1100010 => [2,3,1,1] => 256
[4,2,1,3,5,8,6,7] => 1100010 => [2,3,1,1] => 256
[4,8,1,7,3,6,5,2] => 0101011 => [1,1,1,1,1,2] => 1023
[4,7,8,6,3,5,2,1] => 0011011 => [2,2,1,2] => 357
[4,2,1,8,3,7,6,5] => 1101011 => [2,1,1,1,2] => 603
[4,2,1,3,5,6,8,7] => 1100001 => [2,4,1] => 85
[7,8,2,4,1,3,6,5] => 0101001 => [1,1,1,1,2,1] => 1023
[2,6,1,5,4,7,8,3] => 0101001 => [1,1,1,1,2,1] => 1023
[4,6,3,5,8,7,1,2] => 0100110 => [1,1,2,2,1] => 611
[3,5,6,1,4,8,7,2] => 0010011 => [2,1,2,2] => 363
[2,3,6,8,4,1,5,7] => 0001100 => [3,2,2] => 153
[2,7,5,1,8,3,4,6] => 0110100 => [1,2,1,1,2] => 603
[4,7,5,2,1,3,6,8] => 0111000 => [1,3,3] => 110
[3,5,6,2,4,1,7,8] => 0010100 => [2,1,1,1,2] => 603
[2,5,6,1,4,8,3,7] => 0010010 => [2,1,2,1,1] => 594
[6,7,8,4,1,5,3,2] => 0011011 => [2,2,1,2] => 357
[7,1,6,8,4,5,3,2] => 1001011 => [1,2,1,1,2] => 603
[7,4,6,5,2,8,1,3] => 1011010 => [1,1,2,1,1,1] => 984
[7,1,5,6,4,2,3,8] => 1001100 => [1,2,2,2] => 363
[5,7,4,6,8,1,3,2] => 0100101 => [1,1,2,1,1,1] => 984
[5,7,8,1,4,6,3,2] => 0010011 => [2,1,2,2] => 363
[8,1,5,7,4,6,3,2] => 1001011 => [1,2,1,1,2] => 603
[1,8,4,6,7,5,3,2] => 0100111 => [1,1,2,3] => 265
[6,1,8,4,7,5,3,2] => 1010111 => [1,1,1,1,3] => 450
[4,5,8,6,1,7,3,2] => 0011011 => [2,2,1,2] => 357
[4,8,5,1,6,7,3,2] => 0110011 => [1,2,2,2] => 363
[8,1,4,5,6,7,3,2] => 1000011 => [1,4,2] => 85
[5,6,7,1,4,2,3,8] => 0010100 => [2,1,1,1,2] => 603
[8,4,2,6,1,5,7,3] => 1101001 => [2,1,1,2,1] => 603
[4,8,5,2,1,6,7,3] => 0111001 => [1,3,2,1] => 259
[5,1,8,4,2,6,3,7] => 1011010 => [1,1,2,1,1,1] => 984
[1,8,4,6,2,5,3,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[6,1,5,2,3,4,7,8] => 1010000 => [1,1,1,4] => 148
[8,3,1,4,6,2,5,7] => 1100100 => [2,2,1,2] => 357
[3,1,8,2,5,6,4,7] => 1010010 => [1,1,1,2,1,1] => 1006
[3,5,1,8,2,6,4,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,5,1,2,8,4,7,6] => 0100101 => [1,1,2,1,1,1] => 984
[2,3,5,8,6,1,7,4] => 0001101 => [3,2,1,1] => 256
[8,2,4,3,6,7,1,5] => 1010010 => [1,1,1,2,1,1] => 1006
[3,2,8,5,7,1,6,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[3,6,2,8,5,1,7,4] => 0101101 => [1,1,1,2,1,1] => 1006
[6,2,1,8,4,7,5,3] => 1101011 => [2,1,1,1,2] => 603
[2,8,7,1,4,6,5,3] => 0110011 => [1,2,2,2] => 363
[8,2,7,1,5,4,6,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,2,5,3,6,8,1,4] => 1010010 => [1,1,1,2,1,1] => 1006
[7,3,1,5,6,2,4,8] => 1100100 => [2,2,1,2] => 357
[3,7,5,1,6,2,4,8] => 0110100 => [1,2,1,1,2] => 603
[2,7,3,6,5,8,1,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[8,7,2,4,1,6,5,3] => 1101011 => [2,1,1,1,2] => 603
[1,8,7,2,3,6,5,4] => 0110011 => [1,2,2,2] => 363
[1,7,8,2,6,4,3,5] => 0010110 => [2,1,1,2,1] => 603
[1,7,3,8,2,6,4,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,2,7,3,6,4,5,8] => 0010100 => [2,1,1,1,2] => 603
[7,1,5,8,3,2,4,6] => 1001100 => [1,2,2,2] => 363
[1,6,2,8,4,3,7,5] => 0101101 => [1,1,1,2,1,1] => 1006
[1,3,8,7,2,4,6,5] => 0011001 => [2,2,2,1] => 357
[1,8,3,7,2,5,4,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[8,1,4,7,3,2,5,6] => 1001100 => [1,2,2,2] => 363
[4,7,8,1,3,2,5,6] => 0010100 => [2,1,1,1,2] => 603
[7,1,4,2,3,5,6,8] => 1010000 => [1,1,1,4] => 148
[8,2,1,4,7,3,5,6] => 1100100 => [2,2,1,2] => 357
[2,1,3,8,4,6,7,5] => 1001001 => [1,2,1,2,1] => 603
[1,2,3,4,8,5,7,6] => 0000101 => [4,1,1,1] => 145
[2,4,7,5,6,8,3,1] => 0010011 => [2,1,2,2] => 363
[2,4,8,7,5,6,3,1] => 0011011 => [2,2,1,2] => 357
[2,5,3,8,4,7,6,1] => 0101011 => [1,1,1,1,1,2] => 1023
[2,8,5,7,3,6,4,1] => 0101011 => [1,1,1,1,1,2] => 1023
[3,1,8,5,2,7,6,4] => 1011011 => [1,1,2,1,2] => 611
[2,8,6,3,4,5,7,1] => 0110001 => [1,2,3,1] => 262
[2,5,7,3,4,8,6,1] => 0010011 => [2,1,2,2] => 363
[8,3,7,6,1,4,5,2] => 1011001 => [1,1,2,2,1] => 611
[3,1,7,8,2,5,6,4] => 1001001 => [1,2,1,2,1] => 603
[7,3,8,5,1,6,4,2] => 1011011 => [1,1,2,1,2] => 611
[7,5,1,2,3,4,8,6] => 1100001 => [2,4,1] => 85
[4,8,1,5,2,7,3,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,1,2,5,3,8,7,6] => 1001011 => [1,2,1,1,2] => 603
[4,3,6,8,7,5,1,2] => 1001110 => [1,2,3,1] => 262
[5,4,1,8,2,7,6,3] => 1101011 => [2,1,1,1,2] => 603
[6,4,8,1,2,5,3,7] => 1010010 => [1,1,1,2,1,1] => 1006
[6,7,3,1,4,8,5,2] => 0110011 => [1,2,2,2] => 363
[5,4,1,6,8,2,7,3] => 1100101 => [2,2,1,1,1] => 582
[5,4,7,1,2,8,6,3] => 1010011 => [1,1,1,2,2] => 622
[6,7,4,1,2,8,3,5] => 0110010 => [1,2,2,1,1] => 594
[6,5,1,2,3,7,8,4] => 1100001 => [2,4,1] => 85
[6,5,1,2,3,4,8,7] => 1100001 => [2,4,1] => 85
[6,7,4,1,2,5,3,8] => 0110010 => [1,2,2,1,1] => 594
[2,4,6,3,5,7,1,8] => 0010010 => [2,1,2,1,1] => 594
[1,4,6,3,7,2,5,8] => 0010100 => [2,1,1,1,2] => 603
[8,6,2,5,3,1,7,4] => 1101101 => [2,1,2,1,1] => 594
[8,2,3,4,5,1,7,6] => 1000101 => [1,3,1,1,1] => 427
[1,8,3,4,2,7,5,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,8,3,4,1,6,7,5] => 0101001 => [1,1,1,1,2,1] => 1023
[8,7,2,3,1,6,5,4] => 1101011 => [2,1,1,1,2] => 603
[3,8,2,4,6,1,7,5] => 0100101 => [1,1,2,1,1,1] => 984
[7,8,2,4,3,1,6,5] => 0101101 => [1,1,1,2,1,1] => 1006
[4,5,8,2,3,1,7,6] => 0010101 => [2,1,1,1,1,1] => 969
[5,1,4,3,7,2,6,8] => 1010100 => [1,1,1,1,1,2] => 1023
[6,1,3,5,7,2,4,8] => 1000100 => [1,3,1,2] => 259
[2,1,4,7,5,3,6,8] => 1001100 => [1,2,2,2] => 363
[7,1,3,6,2,5,4,8] => 1001010 => [1,2,1,1,1,1] => 969
[8,1,3,6,2,4,7,5] => 1001001 => [1,2,1,2,1] => 603
[2,1,8,3,7,5,4,6] => 1010110 => [1,1,1,1,2,1] => 1023
[7,1,8,2,5,6,3,4] => 1010010 => [1,1,1,2,1,1] => 1006
[6,1,5,8,2,7,3,4] => 1001010 => [1,2,1,1,1,1] => 969
[4,5,2,8,1,6,7,3] => 0101001 => [1,1,1,1,2,1] => 1023
[6,2,5,8,1,4,7,3] => 1001001 => [1,2,1,2,1] => 603
[3,2,8,5,1,6,7,4] => 1011001 => [1,1,2,2,1] => 611
[8,2,7,1,4,6,5,3] => 1010011 => [1,1,1,2,2] => 622
[1,3,8,2,5,7,4,6] => 0010010 => [2,1,2,1,1] => 594
[2,8,7,1,6,4,5,3] => 0110101 => [1,2,1,1,1,1] => 969
[3,8,7,1,5,6,4,2] => 0110011 => [1,2,2,2] => 363
[3,4,8,5,6,1,7,2] => 0010101 => [2,1,1,1,1,1] => 969
[8,3,7,4,1,6,5,2] => 1011011 => [1,1,2,1,2] => 611
[1,4,8,6,2,7,3,5] => 0011010 => [2,2,1,1,1] => 582
[8,4,5,7,1,6,3,2] => 1001011 => [1,2,1,1,2] => 603
[3,5,6,8,4,1,7,2] => 0001101 => [3,2,1,1] => 256
[6,2,3,1,5,4,7,8] => 1010100 => [1,1,1,1,1,2] => 1023
[7,2,3,1,4,6,5,8] => 1010010 => [1,1,1,2,1,1] => 1006
[8,2,3,1,4,5,7,6] => 1010001 => [1,1,1,3,1] => 450
[8,5,1,3,2,4,7,6] => 1101001 => [2,1,1,2,1] => 603
[7,5,1,3,2,6,4,8] => 1101010 => [2,1,1,1,1,1] => 969
[2,6,1,4,5,3,7,8] => 0100100 => [1,1,2,1,2] => 611
[3,6,4,1,5,2,7,8] => 0110100 => [1,2,1,1,2] => 603
[4,5,6,1,3,2,7,8] => 0010100 => [2,1,1,1,2] => 603
[4,5,7,1,2,6,3,8] => 0010010 => [2,1,2,1,1] => 594
[3,7,4,1,2,6,5,8] => 0110010 => [1,2,2,1,1] => 594
[6,7,1,4,2,5,3,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,7,1,3,5,6,4,8] => 0100010 => [1,1,3,1,1] => 439
[8,6,1,2,4,3,7,5] => 1100101 => [2,2,1,1,1] => 582
[2,8,1,3,4,6,7,5] => 0100001 => [1,1,4,1] => 148
[7,8,1,2,5,3,6,4] => 0100101 => [1,1,2,1,1,1] => 984
[3,8,4,1,2,5,7,6] => 0110001 => [1,2,3,1] => 262
[1,2,6,7,5,3,8,4] => 0001101 => [3,2,1,1] => 256
[1,7,5,3,2,8,4,6] => 0111010 => [1,3,1,1,1] => 427
[1,6,7,5,3,8,4,2] => 0011011 => [2,2,1,2] => 357
[1,6,5,7,2,3,8,4] => 0101001 => [1,1,1,1,2,1] => 1023
[1,3,8,2,6,5,7,4] => 0010101 => [2,1,1,1,1,1] => 969
[1,2,5,7,6,3,4,8] => 0001100 => [3,2,2] => 153
[1,3,4,8,2,5,7,6] => 0001001 => [3,1,2,1] => 259
[1,5,7,6,2,3,4,8] => 0011000 => [2,2,3] => 153
[1,5,3,8,2,6,4,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,4,8,3,2,5,7,6] => 0011001 => [2,2,2,1] => 357
[1,4,8,3,5,7,6,2] => 0010011 => [2,1,2,2] => 363
[1,2,4,8,3,5,7,6] => 0001001 => [3,1,2,1] => 259
[1,3,8,4,2,6,7,5] => 0011001 => [2,2,2,1] => 357
[1,4,8,2,3,5,7,6] => 0010001 => [2,1,3,1] => 262
[6,5,7,3,8,2,4,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,2,6,7,5,8,3,1] => 1001011 => [1,2,1,1,2] => 603
[6,7,5,2,1,8,4,3] => 0111011 => [1,3,1,2] => 259
[3,4,8,7,5,2,1,6] => 0011110 => [2,4,1] => 85
[1,7,5,2,8,4,6,3] => 0110101 => [1,2,1,1,1,1] => 969
[5,6,8,3,1,7,2,4] => 0011010 => [2,2,1,1,1] => 582
[6,1,4,8,3,2,7,5] => 1001101 => [1,2,2,1,1] => 594
[3,4,7,1,8,6,2,5] => 0010110 => [2,1,1,2,1] => 603
[3,4,6,8,2,1,5,7] => 0001100 => [3,2,2] => 153
[3,8,2,5,6,1,4,7] => 0100100 => [1,1,2,1,2] => 611
[3,5,2,8,6,4,1,7] => 0101110 => [1,1,1,3,1] => 450
[4,2,5,7,3,8,6,1] => 1001011 => [1,2,1,1,2] => 603
[7,4,2,5,3,8,1,6] => 1101010 => [2,1,1,1,1,1] => 969
[3,1,2,8,5,6,4,7] => 1001010 => [1,2,1,1,1,1] => 969
[5,2,1,6,8,3,4,7] => 1100100 => [2,2,1,2] => 357
[5,2,6,8,4,1,3,7] => 1001100 => [1,2,2,2] => 363
[1,5,6,8,3,4,2,7] => 0001010 => [3,1,1,1,1] => 427
[4,5,8,1,6,3,2,7] => 0010110 => [2,1,1,2,1] => 603
[4,5,1,6,8,3,2,7] => 0100110 => [1,1,2,2,1] => 611
[4,5,7,3,8,2,6,1] => 0010101 => [2,1,1,1,1,1] => 969
[6,4,3,7,8,2,5,1] => 1100101 => [2,2,1,1,1] => 582
[6,4,3,1,7,8,2,5] => 1110010 => [3,2,1,1] => 256
[4,5,3,1,7,8,2,6] => 0110010 => [1,2,2,1,1] => 594
[7,1,3,5,4,8,2,6] => 1001010 => [1,2,1,1,1,1] => 969
[7,5,2,8,1,4,3,6] => 1101010 => [2,1,1,1,1,1] => 969
[5,7,3,8,4,6,1,2] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,4,5,7,3,8,6,2] => 0001011 => [3,1,1,2] => 259
[4,6,3,7,8,5,2,1] => 0100111 => [1,1,2,3] => 265
[5,3,6,7,8,4,2,1] => 1000111 => [1,3,3] => 110
[1,5,3,6,7,8,4,2] => 0100011 => [1,1,3,2] => 265
[4,6,1,7,3,8,5,2] => 0101011 => [1,1,1,1,1,2] => 1023
[6,3,7,1,8,4,5,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,7,2,4,8,1,5,3] => 0100101 => [1,1,2,1,1,1] => 984
[2,6,1,4,7,3,8,5] => 0100101 => [1,1,2,1,1,1] => 984
[3,2,5,6,7,8,1,4] => 1000010 => [1,4,1,1] => 145
[5,2,3,6,7,8,4,1] => 1000011 => [1,4,2] => 85
[6,7,1,3,2,8,4,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[6,2,7,1,3,4,8,5] => 1010001 => [1,1,1,3,1] => 450
[5,2,1,7,3,8,4,6] => 1101010 => [2,1,1,1,1,1] => 969
[6,4,2,7,1,8,3,5] => 1101010 => [2,1,1,1,1,1] => 969
[4,2,6,3,7,8,1,5] => 1010010 => [1,1,1,2,1,1] => 1006
[4,2,6,3,7,8,5,1] => 1010011 => [1,1,1,2,2] => 622
[6,7,3,8,2,4,5,1] => 0101001 => [1,1,1,1,2,1] => 1023
[3,6,2,7,4,1,8,5] => 0101101 => [1,1,1,2,1,1] => 1006
[6,7,3,2,1,4,8,5] => 0111001 => [1,3,2,1] => 259
[7,1,8,3,4,2,5,6] => 1010100 => [1,1,1,1,1,2] => 1023
[7,2,4,1,8,3,5,6] => 1010100 => [1,1,1,1,1,2] => 1023
[7,2,4,8,6,1,3,5] => 1001100 => [1,2,2,2] => 363
[7,3,4,8,6,2,1,5] => 1001110 => [1,2,3,1] => 262
[3,5,7,2,1,8,6,4] => 0011011 => [2,2,1,2] => 357
[6,7,8,3,2,5,1,4] => 0011010 => [2,2,1,1,1] => 582
[6,3,7,8,2,5,4,1] => 1001011 => [1,2,1,1,2] => 603
[2,6,7,4,8,5,3,1] => 0010111 => [2,1,1,3] => 262
[6,2,4,7,1,8,5,3] => 1001011 => [1,2,1,1,2] => 603
[4,6,2,7,1,8,5,3] => 0101011 => [1,1,1,1,1,2] => 1023
[1,7,4,8,5,2,6,3] => 0101101 => [1,1,1,2,1,1] => 1006
[1,3,7,8,5,2,6,4] => 0001101 => [3,2,1,1] => 256
[2,5,7,8,1,6,3,4] => 0001010 => [3,1,1,1,1] => 427
[6,3,7,1,8,2,5,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[1,6,4,7,8,2,5,3] => 0100101 => [1,1,2,1,1,1] => 984
[2,5,6,1,7,8,4,3] => 0010011 => [2,1,2,2] => 363
[5,6,1,2,7,8,4,3] => 0100011 => [1,1,3,2] => 265
[6,7,2,1,8,5,3,4] => 0110110 => [1,2,1,2,1] => 603
[6,7,2,8,5,4,1,3] => 0101110 => [1,1,1,3,1] => 450
[1,6,7,4,8,5,3,2] => 0010111 => [2,1,1,3] => 262
[1,8,2,4,6,3,5,7] => 0100100 => [1,1,2,1,2] => 611
[1,5,7,4,3,6,2,8] => 0011010 => [2,2,1,1,1] => 582
[1,8,4,5,3,6,2,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,8,5,3,4,7,2,6] => 0110010 => [1,2,2,1,1] => 594
[1,8,2,4,6,3,7,5] => 0100101 => [1,1,2,1,1,1] => 984
[1,8,2,5,4,6,7,3] => 0101001 => [1,1,1,1,2,1] => 1023
[3,6,2,7,1,4,5,8] => 0101000 => [1,1,1,1,3] => 450
[1,4,7,5,2,6,8,3] => 0011001 => [2,2,2,1] => 357
[4,6,5,3,7,1,8,2] => 0110101 => [1,2,1,1,1,1] => 969
[4,2,3,8,6,7,1,5] => 1001010 => [1,2,1,1,1,1] => 969
[5,2,4,8,1,3,7,6] => 1001001 => [1,2,1,2,1] => 603
[6,2,5,4,8,3,7,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,4,3,5,8,2,7,1] => 1100101 => [2,2,1,1,1] => 582
[5,2,3,4,8,1,6,7] => 1000100 => [1,3,1,2] => 259
[3,5,2,4,7,1,6,8] => 0100100 => [1,1,2,1,2] => 611
[5,3,4,8,1,6,2,7] => 1001010 => [1,2,1,1,1,1] => 969
[4,5,3,7,1,6,2,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[6,2,4,8,5,1,3,7] => 1001100 => [1,2,2,2] => 363
[7,6,3,8,5,1,2,4] => 1101100 => [2,1,2,2] => 363
[4,2,6,7,3,8,1,5] => 1001010 => [1,2,1,1,1,1] => 969
[1,5,7,4,2,8,6,3] => 0011011 => [2,2,1,2] => 357
[1,3,7,2,8,6,4,5] => 0010110 => [2,1,1,2,1] => 603
[1,4,3,7,8,6,2,5] => 0100110 => [1,1,2,2,1] => 611
[1,5,3,6,8,2,7,4] => 0100101 => [1,1,2,1,1,1] => 984
[4,3,6,5,7,8,1,2] => 1010010 => [1,1,1,2,1,1] => 1006
[4,2,3,5,6,8,1,7] => 1000010 => [1,4,1,1] => 145
[4,2,6,7,3,8,5,1] => 1001011 => [1,2,1,1,2] => 603
[3,2,5,6,8,1,7,4] => 1000101 => [1,3,1,1,1] => 427
[6,4,5,2,3,8,7,1] => 1010011 => [1,1,1,2,2] => 622
[8,4,6,7,5,2,3,1] => 1001101 => [1,2,2,1,1] => 594
[4,6,5,2,3,1,8,7] => 0110101 => [1,2,1,1,1,1] => 969
[6,4,2,5,3,1,8,7] => 1101101 => [2,1,2,1,1] => 594
[6,4,2,5,3,8,7,1] => 1101011 => [2,1,1,1,2] => 603
[8,6,4,7,5,2,3,1] => 1101101 => [2,1,2,1,1] => 594
[8,6,2,7,4,5,3,1] => 1101011 => [2,1,1,1,2] => 603
[6,4,2,5,8,7,3,1] => 1100111 => [2,2,3] => 153
[4,6,2,5,3,8,7,1] => 0101011 => [1,1,1,1,1,2] => 1023
[4,6,5,2,3,8,7,1] => 0110011 => [1,2,2,2] => 363
[6,8,7,4,5,2,3,1] => 0110101 => [1,2,1,1,1,1] => 969
[4,8,6,7,5,2,3,1] => 0101101 => [1,1,1,2,1,1] => 1006
[6,8,4,7,5,2,3,1] => 0101101 => [1,1,1,2,1,1] => 1006
[6,8,2,7,4,5,3,1] => 0101011 => [1,1,1,1,1,2] => 1023
[8,6,4,7,2,5,3,1] => 1101011 => [2,1,1,1,2] => 603
[8,6,2,4,7,5,3,1] => 1100111 => [2,2,3] => 153
[6,8,2,4,7,5,3,1] => 0100111 => [1,1,2,3] => 265
[4,8,2,6,7,5,3,1] => 0100111 => [1,1,2,3] => 265
[2,8,4,6,7,5,3,1] => 0100111 => [1,1,2,3] => 265
[2,8,6,7,4,5,3,1] => 0101011 => [1,1,1,1,1,2] => 1023
[6,8,7,2,4,5,3,1] => 0110011 => [1,2,2,2] => 363
[2,6,4,5,8,7,3,1] => 0100111 => [1,1,2,3] => 265
[2,6,4,8,7,5,3,1] => 0101111 => [1,1,1,4] => 148
[4,6,2,8,7,5,3,1] => 0101111 => [1,1,1,4] => 148
[8,2,4,6,7,5,3,1] => 1000111 => [1,3,3] => 110
[6,2,4,8,7,5,3,1] => 1001111 => [1,2,4] => 85
[4,2,6,8,7,5,3,1] => 1001111 => [1,2,4] => 85
[4,2,6,5,8,7,3,1] => 1010111 => [1,1,1,1,3] => 450
[6,2,4,5,8,7,3,1] => 1000111 => [1,3,3] => 110
[8,2,6,7,4,5,3,1] => 1001011 => [1,2,1,1,2] => 603
[8,6,7,2,4,5,3,1] => 1010011 => [1,1,1,2,2] => 622
[6,4,5,2,8,7,3,1] => 1010111 => [1,1,1,1,3] => 450
[4,2,3,6,8,7,5,1] => 1000111 => [1,3,3] => 110
[6,4,5,8,7,2,3,1] => 1001101 => [1,2,2,1,1] => 594
[8,6,7,4,2,5,3,1] => 1011011 => [1,1,2,1,2] => 611
[8,4,6,7,2,5,3,1] => 1001011 => [1,2,1,1,2] => 603
[6,4,8,7,2,5,3,1] => 1011011 => [1,1,2,1,2] => 611
[6,2,8,7,4,5,3,1] => 1011011 => [1,1,2,1,2] => 611
[6,4,8,7,5,2,3,1] => 1011101 => [1,1,3,1,1] => 439
[4,6,8,7,5,2,3,1] => 0011101 => [2,3,1,1] => 256
[4,6,5,8,7,2,3,1] => 0101101 => [1,1,1,2,1,1] => 1006
[2,1,6,8,7,4,5,3] => 1001101 => [1,2,2,1,1] => 594
[2,6,8,7,4,5,3,1] => 0011011 => [2,2,1,2] => 357
[2,4,8,6,7,5,3,1] => 0010111 => [2,1,1,3] => 262
[4,2,8,6,7,5,3,1] => 1010111 => [1,1,1,1,3] => 450
[6,2,8,4,7,5,3,1] => 1010111 => [1,1,1,1,3] => 450
[8,2,6,4,7,5,3,1] => 1010111 => [1,1,1,1,3] => 450
[6,4,8,2,7,5,3,1] => 1010111 => [1,1,1,1,3] => 450
[4,6,8,2,7,5,3,1] => 0010111 => [2,1,1,3] => 262
[2,6,8,4,7,5,3,1] => 0010111 => [2,1,1,3] => 262
[4,6,8,7,2,5,3,1] => 0011011 => [2,2,1,2] => 357
[4,6,5,8,2,7,3,1] => 0101011 => [1,1,1,1,1,2] => 1023
[2,1,6,8,4,7,5,3] => 1001011 => [1,2,1,1,2] => 603
[2,1,8,6,4,7,5,3] => 1011011 => [1,1,2,1,2] => 611
[6,8,7,4,2,5,3,1] => 0111011 => [1,3,1,2] => 259
[2,8,6,4,7,5,3,1] => 0110111 => [1,2,1,3] => 262
[4,8,6,2,7,5,3,1] => 0110111 => [1,2,1,3] => 262
[9,8,7,3,6,2,5,1,4] => 11101010 => [3,1,1,1,1,1] => 2592
[9,8,7,6,3,5,1,2,4] => 11110100 => [4,1,1,2] => 526
[9,4,8,3,7,2,6,1,5] => 10101010 => [1,1,1,1,1,1,1,1] => 10176
[9,8,4,7,3,6,1,2,5] => 11010100 => [2,1,1,1,1,2] => 3696
[9,8,7,2,4,6,1,3,5] => 11100100 => [3,2,1,2] => 924
[9,8,7,4,6,1,2,3,5] => 11101000 => [3,1,1,3] => 676
[5,9,4,8,3,7,1,2,6] => 01010100 => [1,1,1,1,1,1,2] => 6344
[9,5,8,2,4,7,1,3,6] => 10100100 => [1,1,1,2,1,2] => 3790
[9,5,8,4,7,1,2,3,6] => 10101000 => [1,1,1,1,1,3] => 2790
[9,8,3,5,7,1,2,4,6] => 11001000 => [2,2,1,3] => 934
[9,8,5,7,1,2,3,4,6] => 11010000 => [2,1,1,4] => 534
[6,9,3,5,8,1,2,4,7] => 01001000 => [1,1,2,1,3] => 1626
[6,9,5,8,1,2,3,4,7] => 01010000 => [1,1,1,1,4] => 934
[9,2,4,6,8,1,3,5,7] => 10001000 => [1,3,1,3] => 676
[9,4,6,8,1,2,3,5,7] => 10010000 => [1,2,1,4] => 534
[9,6,8,1,2,3,4,5,7] => 10100000 => [1,1,1,5] => 244
[3,5,7,9,1,2,4,6,8] => 00010000 => [3,1,4] => 220
[5,7,9,1,2,3,4,6,8] => 00100000 => [2,1,5] => 138
[7,9,1,2,3,4,5,6,8] => 01000000 => [1,1,6] => 50
[4,2,5,6,3,8,1,7] => 1001010 => [1,2,1,1,1,1] => 969
[6,2,5,7,4,8,3,1] => 1001011 => [1,2,1,1,2] => 603
[8,5,2,1,4,7,6,3] => 1110011 => [3,2,2] => 153
[6,7,3,2,5,8,4,1] => 0110011 => [1,2,2,2] => 363
[3,2,6,4,8,1,5,7] => 1010100 => [1,1,1,1,1,2] => 1023
[2,3,6,4,7,8,5,1] => 0010011 => [2,1,2,2] => 363
[7,5,1,8,3,4,6,2] => 1101001 => [2,1,1,2,1] => 603
[5,7,8,2,6,3,4,1] => 0010101 => [2,1,1,1,1,1] => 969
[7,1,6,3,5,8,4,2] => 1010011 => [1,1,1,2,2] => 622
[6,3,1,7,8,4,5,2] => 1100101 => [2,2,1,1,1] => 582
[5,3,6,7,4,1,8,2] => 1001101 => [1,2,2,1,1] => 594
[7,3,1,2,5,8,6,4] => 1100011 => [2,3,2] => 153
[1,6,3,5,2,4,8,7] => 0101001 => [1,1,1,1,2,1] => 1023
[3,4,8,2,7,5,1,6] => 0010110 => [2,1,1,2,1] => 603
[6,3,2,8,5,7,4,1] => 1101011 => [2,1,1,1,2] => 603
[3,8,4,7,2,5,6,1] => 0101001 => [1,1,1,1,2,1] => 1023
[2,4,8,1,5,3,7,6] => 0010101 => [2,1,1,1,1,1] => 969
[3,4,8,1,6,2,7,5] => 0010101 => [2,1,1,1,1,1] => 969
[1,8,4,6,7,3,5,2] => 0100101 => [1,1,2,1,1,1] => 984
[8,1,6,3,4,5,7,2] => 1010001 => [1,1,1,3,1] => 450
[7,6,5,4,1,2,8,3] => 1111001 => [4,2,1] => 85
[5,7,6,8,3,4,2,1] => 0101011 => [1,1,1,1,1,2] => 1023
[2,8,1,6,5,7,4,3] => 0101011 => [1,1,1,1,1,2] => 1023
[4,6,8,2,5,3,7,1] => 0010101 => [2,1,1,1,1,1] => 969
[5,2,3,7,6,1,8,4] => 1001101 => [1,2,2,1,1] => 594
[8,1,2,4,6,7,3,5] => 1000010 => [1,4,1,1] => 145
[5,2,3,7,4,8,6,1] => 1001011 => [1,2,1,1,2] => 603
[5,2,6,8,4,3,1,7] => 1001110 => [1,2,3,1] => 262
[7,8,1,5,4,3,6,2] => 0101101 => [1,1,1,2,1,1] => 1006
[7,2,4,8,5,3,6,1] => 1001101 => [1,2,2,1,1] => 594
[3,7,5,1,8,4,6,2] => 0110101 => [1,2,1,1,1,1] => 969
[2,7,8,5,4,6,1,3] => 0011010 => [2,2,1,1,1] => 582
[5,7,4,3,8,6,2,1] => 0110111 => [1,2,1,3] => 262
[4,8,1,6,3,5,2,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[8,3,1,7,4,2,5,6] => 1101100 => [2,1,2,2] => 363
[3,1,8,2,4,5,7,6] => 1010001 => [1,1,1,3,1] => 450
[8,1,3,7,6,2,4,5] => 1001100 => [1,2,2,2] => 363
[2,3,6,8,7,1,4,5] => 0001100 => [3,2,2] => 153
[4,3,2,8,5,7,1,6] => 1101010 => [2,1,1,1,1,1] => 969
[3,6,4,2,8,5,7,1] => 0110101 => [1,2,1,1,1,1] => 969
[4,7,3,2,5,1,8,6] => 0110101 => [1,2,1,1,1,1] => 969
[3,2,4,7,5,8,6,1] => 1001011 => [1,2,1,1,2] => 603
[4,2,3,8,6,5,1,7] => 1001110 => [1,2,3,1] => 262
[2,4,3,5,1,8,6,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,2,8,1,4,6,5,7] => 1010010 => [1,1,1,2,1,1] => 1006
[3,7,8,5,6,1,2,4] => 0010100 => [2,1,1,1,2] => 603
[3,6,1,8,4,7,2,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,1,6,8,4,7,2,5] => 1001010 => [1,2,1,1,1,1] => 969
[4,1,6,8,3,2,7,5] => 1001101 => [1,2,2,1,1] => 594
[4,6,1,8,3,2,7,5] => 0101101 => [1,1,1,2,1,1] => 1006
[4,7,8,1,3,2,6,5] => 0010101 => [2,1,1,1,1,1] => 969
[4,7,8,3,1,2,6,5] => 0011001 => [2,2,2,1] => 357
[2,7,8,3,4,6,5,1] => 0010011 => [2,1,2,2] => 363
[4,7,8,2,1,3,6,5] => 0011001 => [2,2,2,1] => 357
[4,6,1,8,2,3,7,5] => 0101001 => [1,1,1,1,2,1] => 1023
[4,1,6,8,2,3,7,5] => 1001001 => [1,2,1,2,1] => 603
[4,5,1,2,8,3,7,6] => 0100101 => [1,1,2,1,1,1] => 984
[4,5,2,1,8,3,7,6] => 0110101 => [1,2,1,1,1,1] => 969
[4,6,2,8,1,3,7,5] => 0101001 => [1,1,1,1,2,1] => 1023
[3,6,2,8,4,7,1,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,3,6,8,4,7,5,1] => 0001011 => [3,1,1,2] => 259
[3,2,6,8,4,7,1,5] => 1001010 => [1,2,1,1,1,1] => 969
[4,2,6,8,3,1,7,5] => 1001101 => [1,2,2,1,1] => 594
[4,2,5,1,8,3,7,6] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,1,2,5,8,3,7,6] => 1000101 => [1,3,1,1,1] => 427
[5,1,2,4,3,8,7,6] => 1001011 => [1,2,1,1,2] => 603
[5,2,4,1,3,8,7,6] => 1010011 => [1,1,1,2,2] => 622
[4,2,5,3,8,1,7,6] => 1010101 => [1,1,1,1,1,1,1] => 1623
[3,2,5,4,8,7,1,6] => 1010110 => [1,1,1,1,2,1] => 1023
[3,5,2,4,8,7,1,6] => 0100110 => [1,1,2,2,1] => 611
[5,4,2,1,3,8,7,6] => 1110011 => [3,2,2] => 153
[5,1,4,2,3,8,7,6] => 1010011 => [1,1,1,2,2] => 622
[5,4,1,3,2,8,7,6] => 1101011 => [2,1,1,1,2] => 603
[5,4,3,1,2,8,7,6] => 1110011 => [3,2,2] => 153
[4,5,3,1,8,2,7,6] => 0110101 => [1,2,1,1,1,1] => 969
[4,5,1,3,8,2,7,6] => 0100101 => [1,1,2,1,1,1] => 984
[3,1,5,4,8,7,2,6] => 1010110 => [1,1,1,1,2,1] => 1023
[3,5,1,4,8,7,2,6] => 0100110 => [1,1,2,2,1] => 611
[3,5,4,1,8,7,2,6] => 0110110 => [1,2,1,2,1] => 603
[3,6,5,8,7,1,2,4] => 0101100 => [1,1,1,2,2] => 622
[2,5,6,8,7,3,4,1] => 0001101 => [3,2,1,1] => 256
[3,4,5,1,8,7,2,6] => 0010110 => [2,1,1,2,1] => 603
[3,4,1,5,8,7,2,6] => 0100110 => [1,1,2,2,1] => 611
[4,1,3,5,8,2,7,6] => 1000101 => [1,3,1,1,1] => 427
[4,3,6,8,2,1,7,5] => 1001101 => [1,2,2,1,1] => 594
[2,4,6,8,3,7,5,1] => 0001011 => [3,1,1,2] => 259
[3,4,5,2,8,7,1,6] => 0010110 => [2,1,1,2,1] => 603
[5,3,1,4,2,8,7,6] => 1101011 => [2,1,1,1,2] => 603
[5,1,3,4,2,8,7,6] => 1001011 => [1,2,1,1,2] => 603
[5,1,3,2,4,8,7,6] => 1010011 => [1,1,1,2,2] => 622
[5,3,2,1,4,8,7,6] => 1110011 => [3,2,2] => 153
[4,3,2,5,8,1,7,6] => 1100101 => [2,2,1,1,1] => 582
[3,4,2,5,8,7,1,6] => 0100110 => [1,1,2,2,1] => 611
[3,2,4,5,8,7,1,6] => 1000110 => [1,3,2,1] => 259
[4,2,3,5,8,1,7,6] => 1000101 => [1,3,1,1,1] => 427
[5,2,3,1,4,8,7,6] => 1010011 => [1,1,1,2,2] => 622
[5,2,1,3,4,8,7,6] => 1100011 => [2,3,2] => 153
[5,1,2,3,4,8,7,6] => 1000011 => [1,4,2] => 85
[8,6,2,5,4,1,3,7] => 1101100 => [2,1,2,2] => 363
[6,5,7,4,2,8,3,1] => 1011011 => [1,1,2,1,2] => 611
[6,7,5,3,8,2,4,1] => 0110101 => [1,2,1,1,1,1] => 969
[8,2,1,6,3,4,5,7] => 1101000 => [2,1,1,3] => 262
[8,3,5,6,2,4,1,7] => 1001010 => [1,2,1,1,1,1] => 969
[8,6,2,1,3,5,4,7] => 1110010 => [3,2,1,1] => 256
[8,1,2,3,4,6,5,7] => 1000010 => [1,4,1,1] => 145
[6,2,3,7,8,4,5,1] => 1000101 => [1,3,1,1,1] => 427
[7,5,8,2,6,3,4,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,3,1,6,5,8,4,2] => 1101011 => [2,1,1,1,2] => 603
[1,5,6,7,3,4,8,2] => 0001001 => [3,1,2,1] => 259
[6,7,8,2,1,4,5,3] => 0011001 => [2,2,2,1] => 357
[8,4,7,6,2,1,3,5] => 1011100 => [1,1,3,2] => 265
[5,3,8,4,7,2,6,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,1,3,7,6,4,2,5] => 1001110 => [1,2,3,1] => 262
[5,3,1,7,8,6,2,4] => 1100110 => [2,2,2,1] => 357
[3,5,8,2,7,1,6,4] => 0010101 => [2,1,1,1,1,1] => 969
[6,2,8,5,3,1,7,4] => 1011101 => [1,1,3,1,1] => 439
[8,2,6,4,7,1,3,5] => 1010100 => [1,1,1,1,1,2] => 1023
[3,4,2,8,5,1,7,6] => 0101101 => [1,1,1,2,1,1] => 1006
[3,8,6,5,2,1,7,4] => 0111101 => [1,4,1,1] => 145
[8,3,7,4,2,5,6,1] => 1011001 => [1,1,2,2,1] => 611
[4,8,5,7,2,1,3,6] => 0101100 => [1,1,1,2,2] => 622
[3,4,1,8,2,6,7,5] => 0101001 => [1,1,1,1,2,1] => 1023
[8,4,6,3,7,1,5,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,8,3,4,1,5,7,2] => 0101001 => [1,1,1,1,2,1] => 1023
[5,1,7,6,2,8,4,3] => 1011011 => [1,1,2,1,2] => 611
[6,8,2,5,7,4,1,3] => 0100110 => [1,1,2,2,1] => 611
[2,8,5,6,7,1,3,4] => 0100100 => [1,1,2,1,2] => 611
[2,5,7,6,3,1,8,4] => 0011101 => [2,3,1,1] => 256
[4,2,8,3,1,5,6,7] => 1011000 => [1,1,2,3] => 265
[2,5,7,3,8,4,6,1] => 0010101 => [2,1,1,1,1,1] => 969
[4,2,7,1,8,5,3,6] => 1010110 => [1,1,1,1,2,1] => 1023
[4,2,1,8,7,5,6,3] => 1101101 => [2,1,2,1,1] => 594
[8,3,6,7,1,5,4,2] => 1001011 => [1,2,1,1,2] => 603
[1,3,7,5,8,6,4,2] => 0010111 => [2,1,1,3] => 262
[5,7,8,4,3,1,6,2] => 0011101 => [2,3,1,1] => 256
[2,7,4,5,8,3,6,1] => 0100101 => [1,1,2,1,1,1] => 984
[3,5,7,1,4,8,6,2] => 0010011 => [2,1,2,2] => 363
[7,2,8,5,1,4,6,3] => 1011001 => [1,1,2,2,1] => 611
[1,6,5,3,8,4,2,7] => 0110110 => [1,2,1,2,1] => 603
[5,7,4,8,3,6,2,1] => 0101011 => [1,1,1,1,1,2] => 1023
[4,8,6,1,3,5,2,7] => 0110010 => [1,2,2,1,1] => 594
[1,8,3,2,4,7,5,6] => 0110010 => [1,2,2,1,1] => 594
[8,4,3,2,5,7,1,6] => 1110010 => [3,2,1,1] => 256
[3,6,4,8,2,5,7,1] => 0101001 => [1,1,1,1,2,1] => 1023
[4,3,7,2,5,8,1,6] => 1010010 => [1,1,1,2,1,1] => 1006
[3,2,4,7,8,5,6,1] => 1000101 => [1,3,1,1,1] => 427
[2,6,4,3,8,5,1,7] => 0110110 => [1,2,1,2,1] => 603
[3,8,2,1,6,4,5,7] => 0110100 => [1,2,1,1,2] => 603
[8,2,1,3,4,5,7,6] => 1100001 => [2,4,1] => 85
[4,6,8,3,2,1,5,7] => 0011100 => [2,3,2] => 153
[3,2,6,8,5,4,1,7] => 1001110 => [1,2,3,1] => 262
[7,3,8,2,5,4,1,6] => 1010110 => [1,1,1,1,2,1] => 1023
[4,2,5,3,8,7,6,1] => 1010111 => [1,1,1,1,3] => 450
[4,8,2,6,5,3,1,7] => 0101110 => [1,1,1,3,1] => 450
[2,6,8,5,4,1,3,7] => 0011100 => [2,3,2] => 153
[3,1,8,6,5,4,2,7] => 1011110 => [1,1,4,1] => 148
[5,4,8,7,3,2,6,1] => 1011101 => [1,1,3,1,1] => 439
[6,4,8,3,7,2,5,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,7,3,6,2,1,8,5] => 0101101 => [1,1,1,2,1,1] => 1006
[5,4,3,7,1,8,2,6] => 1101010 => [2,1,1,1,1,1] => 969
[7,3,8,5,1,4,2,6] => 1011010 => [1,1,2,1,1,1] => 984
[5,4,8,7,6,2,1,3] => 1011110 => [1,1,4,1] => 148
[3,8,1,5,7,4,6,2] => 0100101 => [1,1,2,1,1,1] => 984
[4,8,5,7,3,1,6,2] => 0101101 => [1,1,1,2,1,1] => 1006
[1,5,4,8,3,7,6,2] => 0101011 => [1,1,1,1,1,2] => 1023
[4,8,3,6,7,1,5,2] => 0100101 => [1,1,2,1,1,1] => 984
[4,7,8,3,1,6,5,2] => 0011011 => [2,2,1,2] => 357
[8,7,5,3,6,4,2,1] => 1110111 => [3,1,3] => 110
[4,6,1,3,8,7,5,2] => 0100111 => [1,1,2,3] => 265
[6,8,2,1,7,4,5,3] => 0110101 => [1,2,1,1,1,1] => 969
[3,7,1,6,4,2,8,5] => 0101101 => [1,1,1,2,1,1] => 1006
[3,1,2,7,5,6,8,4] => 1001001 => [1,2,1,2,1] => 603
[3,6,1,2,7,5,8,4] => 0100101 => [1,1,2,1,1,1] => 984
[3,7,6,2,5,8,1,4] => 0110010 => [1,2,2,1,1] => 594
[3,6,2,5,8,7,4,1] => 0100111 => [1,1,2,3] => 265
[8,5,2,3,6,7,4,1] => 1100011 => [2,3,2] => 153
[4,7,2,6,3,8,1,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[6,3,2,4,8,7,5,1] => 1100111 => [2,2,3] => 153
[3,7,2,4,6,1,8,5] => 0100101 => [1,1,2,1,1,1] => 984
[5,3,7,2,8,1,4,6] => 1010100 => [1,1,1,1,1,2] => 1023
[6,3,2,8,7,5,1,4] => 1101110 => [2,1,3,1] => 262
[7,3,8,2,6,5,1,4] => 1010110 => [1,1,1,1,2,1] => 1023
[6,4,8,7,2,5,1,3] => 1011010 => [1,1,2,1,1,1] => 984
[2,5,4,8,1,7,6,3] => 0101011 => [1,1,1,1,1,2] => 1023
[5,2,8,1,7,6,3,4] => 1010110 => [1,1,1,1,2,1] => 1023
[6,2,1,3,8,7,5,4] => 1100111 => [2,2,3] => 153
[3,6,1,8,7,5,2,4] => 0101110 => [1,1,1,3,1] => 450
[5,6,1,2,8,7,4,3] => 0100111 => [1,1,2,3] => 265
[7,5,2,8,1,6,4,3] => 1101011 => [2,1,1,1,2] => 603
[2,7,6,8,1,5,4,3] => 0101011 => [1,1,1,1,1,2] => 1023
[7,8,5,1,6,2,4,3] => 0110101 => [1,2,1,1,1,1] => 969
[7,4,8,6,1,2,5,3] => 1011001 => [1,1,2,2,1] => 611
[7,2,1,8,3,6,5,4] => 1101011 => [2,1,1,1,2] => 603
[5,8,7,1,6,4,3,2] => 0110111 => [1,2,1,3] => 262
[7,6,5,4,3,2,9,8,1] => 11111011 => [5,1,2] => 138
[9,6,5,4,3,2,8,1,7] => 11111010 => [5,1,1,1] => 240
[9,7,5,4,3,2,1,8,6] => 11111101 => [6,1,1] => 50
[8,5,4,3,7,2,1,6] => 1110110 => [3,1,2,1] => 259
[6,5,4,8,3,2,7,1] => 1101101 => [2,1,2,1,1] => 594
[7,6,5,4,3,9,2,8,1] => 11110101 => [4,1,1,1,1] => 888
[7,6,4,3,2,8,5,1] => 1111011 => [4,1,2] => 85
[8,6,5,4,3,2,9,7,1] => 11111011 => [5,1,2] => 138
[7,3,1,4,8,2,5,6] => 1100100 => [2,2,1,2] => 357
[7,4,1,2,5,8,3,6] => 1100010 => [2,3,1,1] => 256
[6,7,4,2,5,1,3,8] => 0110100 => [1,2,1,1,2] => 603
[5,7,2,4,6,8,1,3] => 0100010 => [1,1,3,1,1] => 439
[4,7,5,1,6,2,8,3] => 0110101 => [1,2,1,1,1,1] => 969
[5,7,4,6,3,1,8,2] => 0101101 => [1,1,1,2,1,1] => 1006
[7,5,1,4,3,2,8,6] => 1101101 => [2,1,2,1,1] => 594
[8,6,4,2,3,7,5,1] => 1110011 => [3,2,2] => 153
[6,4,7,1,3,8,5,2] => 1010011 => [1,1,1,2,2] => 622
[5,4,2,7,3,1,6,8] => 1101100 => [2,1,2,2] => 363
[4,5,1,2,7,6,8,3] => 0100101 => [1,1,2,1,1,1] => 984
[5,4,6,8,3,1,2,7] => 1001100 => [1,2,2,2] => 363
[6,4,8,1,3,7,2,5] => 1010010 => [1,1,1,2,1,1] => 1006
[4,6,1,3,8,5,2,7] => 0100110 => [1,1,2,2,1] => 611
[1,3,8,4,5,7,2,6] => 0010010 => [2,1,2,1,1] => 594
[2,6,7,4,5,3,1,8] => 0010110 => [2,1,1,2,1] => 603
[2,6,8,4,3,5,1,7] => 0011010 => [2,2,1,1,1] => 582
[1,3,7,4,2,8,5,6] => 0011010 => [2,2,1,1,1] => 582
[4,6,1,3,7,2,5,8] => 0100100 => [1,1,2,1,2] => 611
[7,5,8,6,2,1,3,4] => 1011100 => [1,1,3,2] => 265
[2,8,1,3,6,5,4,7] => 0100110 => [1,1,2,2,1] => 611
[2,8,7,3,5,4,1,6] => 0110110 => [1,2,1,2,1] => 603
[3,4,2,6,8,7,1,5] => 0100110 => [1,1,2,2,1] => 611
[7,4,2,3,6,1,8,5] => 1100101 => [2,2,1,1,1] => 582
[8,4,2,3,6,5,7,1] => 1100101 => [2,2,1,1,1] => 582
[7,3,8,4,1,2,6,5] => 1011001 => [1,1,2,2,1] => 611
[6,8,3,2,7,1,5,4] => 0110101 => [1,2,1,1,1,1] => 969
[2,8,5,6,3,7,1,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[7,4,2,5,8,1,6,3] => 1100101 => [2,2,1,1,1] => 582
[2,7,8,3,4,5,1,6] => 0010010 => [2,1,2,1,1] => 594
[3,7,1,2,4,6,5,8] => 0100010 => [1,1,3,1,1] => 439
[7,5,6,8,2,1,4,3] => 1001101 => [1,2,2,1,1] => 594
[3,1,6,5,2,7,4,8] => 1011010 => [1,1,2,1,1,1] => 984
[2,8,6,5,3,4,1,7] => 0111010 => [1,3,1,1,1] => 427
[1,7,2,3,5,6,8,4] => 0100001 => [1,1,4,1] => 148
[3,7,4,2,1,5,6,8] => 0111000 => [1,3,3] => 110
[3,4,6,2,8,5,7,1] => 0010101 => [2,1,1,1,1,1] => 969
[4,2,1,7,5,8,3,6] => 1101010 => [2,1,1,1,1,1] => 969
[4,7,2,6,5,1,3,8] => 0101100 => [1,1,1,2,2] => 622
[3,7,4,1,2,5,8,6] => 0110001 => [1,2,3,1] => 262
[4,7,1,6,5,2,8,3] => 0101101 => [1,1,1,2,1,1] => 1006
[4,7,3,6,5,1,8,2] => 0101101 => [1,1,1,2,1,1] => 1006
[4,3,7,1,6,8,5,2] => 1010011 => [1,1,1,2,2] => 622
[4,2,1,7,5,6,8,3] => 1101001 => [2,1,1,2,1] => 603
[3,2,4,8,6,7,1,5] => 1001010 => [1,2,1,1,1,1] => 969
[4,2,6,8,7,3,1,5] => 1001110 => [1,2,3,1] => 262
[3,4,6,1,8,5,2,7] => 0010110 => [2,1,1,2,1] => 603
[4,1,6,7,5,8,2,3] => 1001010 => [1,2,1,1,1,1] => 969
[4,3,6,7,5,1,2,8] => 1001100 => [1,2,2,2] => 363
[4,3,7,1,6,8,2,5] => 1010010 => [1,1,1,2,1,1] => 1006
[4,3,7,5,6,8,2,1] => 1010011 => [1,1,1,2,2] => 622
[4,1,7,3,6,5,2,8] => 1010110 => [1,1,1,1,2,1] => 1023
[2,8,7,4,5,3,1,6] => 0110110 => [1,2,1,2,1] => 603
[2,8,7,4,3,5,1,6] => 0111010 => [1,3,1,1,1] => 427
[3,8,1,4,2,6,5,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,1,7,3,6,2,5,8] => 1010100 => [1,1,1,1,1,2] => 1023
[5,8,7,6,1,2,4,3] => 0111001 => [1,3,2,1] => 259
[5,8,7,6,2,1,3,4] => 0111100 => [1,4,2] => 85
[4,1,7,2,6,8,5,3] => 1010011 => [1,1,1,2,2] => 622
[4,2,7,3,6,1,8,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,2,7,3,6,5,8,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[3,8,2,4,5,6,7,1] => 0100001 => [1,1,4,1] => 148
[3,8,2,4,1,6,7,5] => 0101001 => [1,1,1,1,2,1] => 1023
[3,8,5,6,2,4,1,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,8,6,5,3,7,1,4] => 0111010 => [1,3,1,1,1] => 427
[3,8,6,5,1,4,7,2] => 0111001 => [1,3,2,1] => 259
[3,8,2,1,4,6,7,5] => 0110001 => [1,2,3,1] => 262
[3,8,2,5,4,6,7,1] => 0101001 => [1,1,1,1,2,1] => 1023
[4,2,7,5,6,3,8,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,2,7,5,6,1,8,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,2,6,7,5,3,1,8] => 1001110 => [1,2,3,1] => 262
[3,2,6,1,4,5,8,7] => 1010001 => [1,1,1,3,1] => 450
[2,8,7,3,4,5,1,6] => 0110010 => [1,2,2,1,1] => 594
[3,8,1,2,4,6,5,7] => 0100010 => [1,1,3,1,1] => 439
[5,8,7,6,1,3,4,2] => 0111001 => [1,3,2,1] => 259
[5,8,7,6,2,3,4,1] => 0111001 => [1,3,2,1] => 259
[4,1,7,5,6,2,3,8] => 1010100 => [1,1,1,1,1,2] => 1023
[3,8,1,5,2,6,4,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,8,7,5,3,4,1,6] => 0111010 => [1,3,1,1,1] => 427
[2,8,7,5,4,3,1,6] => 0111110 => [1,5,1] => 37
[4,1,7,5,6,3,2,8] => 1010110 => [1,1,1,1,2,1] => 1023
[5,8,7,6,1,3,2,4] => 0111010 => [1,3,1,1,1] => 427
[5,8,7,6,4,1,2,3] => 0111100 => [1,4,2] => 85
[5,4,2,3,7,6,8,1] => 1100101 => [2,2,1,1,1] => 582
[7,4,3,5,2,8,1,6] => 1101010 => [2,1,1,1,1,1] => 969
[8,4,3,7,5,1,6,2] => 1101101 => [2,1,2,1,1] => 594
[8,4,7,2,5,1,6,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,4,6,2,3,5,8,1] => 1010001 => [1,1,1,3,1] => 450
[5,1,7,2,4,6,8,3] => 1010001 => [1,1,1,3,1] => 450
[4,5,7,1,2,6,8,3] => 0010001 => [2,1,3,1] => 262
[5,4,1,7,3,6,8,2] => 1101001 => [2,1,1,2,1] => 603
[3,6,4,7,5,2,8,1] => 0101101 => [1,1,1,2,1,1] => 1006
[3,4,7,6,2,5,8,1] => 0011001 => [2,2,2,1] => 357
[4,7,5,6,1,3,8,2] => 0101001 => [1,1,1,1,2,1] => 1023
[5,7,6,4,3,1,8,2] => 0111101 => [1,4,1,1] => 145
[5,7,6,3,1,4,8,2] => 0111001 => [1,3,2,1] => 259
[7,5,2,3,4,8,1,6] => 1100010 => [2,3,1,1] => 256
[8,7,5,3,4,1,6,2] => 1110101 => [3,1,1,1,1] => 427
[6,7,1,3,8,4,2,5] => 0100110 => [1,1,2,2,1] => 611
[7,6,1,3,4,8,5,2] => 1100011 => [2,3,2] => 153
[3,6,5,2,7,8,1,4] => 0110010 => [1,2,2,1,1] => 594
[3,2,8,6,7,1,4,5] => 1010100 => [1,1,1,1,1,2] => 1023
[4,8,3,6,5,2,1,7] => 0101110 => [1,1,1,3,1] => 450
[1,8,6,5,4,2,3,7] => 0111100 => [1,4,2] => 85
[1,8,7,2,3,5,4,6] => 0110010 => [1,2,2,1,1] => 594
[1,8,7,2,5,3,4,6] => 0110100 => [1,2,1,1,2] => 603
[3,6,8,5,1,2,4,7] => 0011000 => [2,2,3] => 153
[3,7,5,1,8,2,6,4] => 0110101 => [1,2,1,1,1,1] => 969
[7,1,2,8,3,5,6,4] => 1001001 => [1,2,1,2,1] => 603
[6,1,7,8,2,5,3,4] => 1001010 => [1,2,1,1,1,1] => 969
[6,7,5,2,8,1,4,3] => 0110101 => [1,2,1,1,1,1] => 969
[7,1,4,5,8,6,2,3] => 1000110 => [1,3,2,1] => 259
[5,7,6,4,2,8,1,3] => 0111010 => [1,3,1,1,1] => 427
[7,5,6,1,2,8,4,3] => 1010011 => [1,1,1,2,2] => 622
[4,1,3,7,8,6,2,5] => 1000110 => [1,3,2,1] => 259
[5,1,4,3,6,8,7,2] => 1010011 => [1,1,1,2,2] => 622
[4,5,7,6,8,2,1,3] => 0010110 => [2,1,1,2,1] => 603
[5,7,6,8,4,2,1,3] => 0101110 => [1,1,1,3,1] => 450
[5,1,6,8,4,2,7,3] => 1001101 => [1,2,2,1,1] => 594
[7,4,8,2,3,6,5,1] => 1010011 => [1,1,1,2,2] => 622
[5,6,8,4,7,3,2,1] => 0010111 => [2,1,1,3] => 262
[6,4,7,8,5,2,1,3] => 1001110 => [1,2,3,1] => 262
[3,6,4,8,5,1,2,7] => 0101100 => [1,1,1,2,2] => 622
[3,7,4,8,1,2,5,6] => 0101000 => [1,1,1,1,3] => 450
[7,4,3,8,2,6,5,1] => 1101011 => [2,1,1,1,2] => 603
[7,6,8,3,2,5,4,1] => 1011011 => [1,1,2,1,2] => 611
[8,7,1,3,5,4,6,2] => 1100101 => [2,2,1,1,1] => 582
[7,1,8,3,4,2,6,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,6,8,3,1,4,5,2] => 1011001 => [1,1,2,2,1] => 611
[3,1,4,8,2,5,7,6] => 1001001 => [1,2,1,2,1] => 603
[4,8,5,2,1,3,6,7] => 0111000 => [1,3,3] => 110
[5,8,2,6,3,1,4,7] => 0101100 => [1,1,1,2,2] => 622
[6,8,2,3,7,4,1,5] => 0100110 => [1,1,2,2,1] => 611
[7,8,2,3,4,6,5,1] => 0100011 => [1,1,3,2] => 265
[8,1,7,2,4,5,3,6] => 1010010 => [1,1,1,2,1,1] => 1006
[8,1,3,6,2,5,4,7] => 1001010 => [1,2,1,1,1,1] => 969
[7,2,1,6,3,5,4,8] => 1101010 => [2,1,1,1,1,1] => 969
[2,7,1,6,3,5,4,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,7,1,5,4,3,6,8] => 0101100 => [1,1,1,2,2] => 622
[7,2,1,5,4,3,6,8] => 1101100 => [2,1,2,2] => 363
[8,1,3,5,4,2,6,7] => 1001100 => [1,2,2,2] => 363
[8,1,5,3,4,2,6,7] => 1010100 => [1,1,1,1,1,2] => 1023
[8,1,5,6,2,3,7,4] => 1001001 => [1,2,1,2,1] => 603
[8,1,4,5,3,2,6,7] => 1001100 => [1,2,2,2] => 363
[8,1,4,3,5,2,6,7] => 1010100 => [1,1,1,1,1,2] => 1023
[7,2,1,4,5,3,6,8] => 1100100 => [2,2,1,2] => 357
[2,7,1,4,5,3,6,8] => 0100100 => [1,1,2,1,2] => 611
[2,6,3,1,5,4,7,8] => 0110100 => [1,2,1,1,2] => 603
[6,3,2,1,5,4,7,8] => 1110100 => [3,1,1,2] => 259
[7,3,1,4,5,2,6,8] => 1100100 => [2,2,1,2] => 357
[7,3,1,5,4,2,6,8] => 1101100 => [2,1,2,2] => 363
[7,3,1,6,2,5,4,8] => 1101010 => [2,1,1,1,1,1] => 969
[3,7,1,6,2,5,4,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,7,1,4,5,2,6,8] => 0100100 => [1,1,2,1,2] => 611
[3,6,2,1,5,4,7,8] => 0110100 => [1,2,1,1,2] => 603
[2,3,6,1,5,4,7,8] => 0010100 => [2,1,1,1,2] => 603
[3,5,2,4,1,6,7,8] => 0101000 => [1,1,1,1,3] => 450
[6,3,4,1,5,2,7,8] => 1010100 => [1,1,1,1,1,2] => 1023
[6,2,4,1,5,3,7,8] => 1010100 => [1,1,1,1,1,2] => 1023
[2,6,4,1,5,3,7,8] => 0110100 => [1,2,1,1,2] => 603
[2,6,5,1,3,7,4,8] => 0110010 => [1,2,2,1,1] => 594
[6,2,5,1,3,7,4,8] => 1010010 => [1,1,1,2,1,1] => 1006
[6,5,2,1,3,7,4,8] => 1110010 => [3,2,1,1] => 256
[7,6,1,2,4,5,3,8] => 1100010 => [2,3,1,1] => 256
[6,7,1,2,8,3,5,4] => 0100101 => [1,1,2,1,1,1] => 984
[6,7,1,2,5,4,3,8] => 0100110 => [1,1,2,2,1] => 611
[5,6,2,1,3,7,4,8] => 0110010 => [1,2,2,1,1] => 594
[5,2,6,1,3,7,4,8] => 1010010 => [1,1,1,2,1,1] => 1006
[2,4,6,1,5,3,7,8] => 0010100 => [2,1,1,1,2] => 603
[4,7,1,3,5,2,6,8] => 0100100 => [1,1,2,1,2] => 611
[4,7,1,5,3,2,6,8] => 0101100 => [1,1,1,2,2] => 622
[5,7,1,4,2,6,3,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,7,1,6,2,3,8,4] => 0101001 => [1,1,1,1,2,1] => 1023
[5,6,3,1,2,7,4,8] => 0110010 => [1,2,2,1,1] => 594
[4,2,5,3,1,6,7,8] => 1011000 => [1,1,2,3] => 265
[5,3,6,1,2,7,4,8] => 1010010 => [1,1,1,2,1,1] => 1006
[3,4,6,1,5,2,7,8] => 0010100 => [2,1,1,1,2] => 603
[6,5,1,8,7,3,4,2] => 1101101 => [2,1,2,1,1] => 594
[8,2,7,5,4,1,3,6] => 1011100 => [1,1,3,2] => 265
[6,8,5,2,3,4,1,7] => 0110010 => [1,2,2,1,1] => 594
[2,6,8,7,1,5,3,4] => 0011010 => [2,2,1,1,1] => 582
[8,5,6,2,7,1,4,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,5,1,2,7,8,4,3] => 1100011 => [2,3,2] => 153
[4,7,6,1,5,3,8,2] => 0110101 => [1,2,1,1,1,1] => 969
[5,7,6,4,1,3,8,2] => 0111001 => [1,3,2,1] => 259
[7,6,2,4,5,3,8,1] => 1100101 => [2,2,1,1,1] => 582
[6,1,7,5,3,8,4,2] => 1011011 => [1,1,2,1,2] => 611
[8,6,7,5,3,1,4,2] => 1011101 => [1,1,3,1,1] => 439
[8,5,2,7,1,6,4,3] => 1101011 => [2,1,1,1,2] => 603
[7,6,1,5,3,8,4,2] => 1101011 => [2,1,1,1,2] => 603
[5,6,2,4,7,8,1,3] => 0100010 => [1,1,3,1,1] => 439
[3,4,6,1,7,8,5,2] => 0010011 => [2,1,2,2] => 363
[3,4,8,6,7,1,5,2] => 0010101 => [2,1,1,1,1,1] => 969
[4,8,5,6,7,2,3,1] => 0100101 => [1,1,2,1,1,1] => 984
[5,8,6,4,1,2,7,3] => 0111001 => [1,3,2,1] => 259
[5,8,6,1,7,2,4,3] => 0110101 => [1,2,1,1,1,1] => 969
[5,8,7,3,2,6,4,1] => 0111011 => [1,3,1,2] => 259
[5,8,1,7,2,6,4,3] => 0101011 => [1,1,1,1,1,2] => 1023
[8,1,5,7,2,6,4,3] => 1001011 => [1,2,1,1,2] => 603
[8,1,7,2,5,6,3,4] => 1010010 => [1,1,1,2,1,1] => 1006
[6,8,7,2,5,1,3,4] => 0110100 => [1,2,1,1,2] => 603
[5,8,7,2,1,6,3,4] => 0111010 => [1,3,1,1,1] => 427
[4,8,1,5,2,6,7,3] => 0101001 => [1,1,1,1,2,1] => 1023
[3,7,8,5,1,6,2,4] => 0011010 => [2,2,1,1,1] => 582
[6,5,2,7,8,1,4,3] => 1100101 => [2,2,1,1,1] => 582
[7,1,2,8,5,6,3,4] => 1001010 => [1,2,1,1,1,1] => 969
[8,7,2,1,5,6,3,4] => 1110010 => [3,2,1,1] => 256
[8,6,7,1,5,2,3,4] => 1010100 => [1,1,1,1,1,2] => 1023
[6,1,7,8,5,2,3,4] => 1001100 => [1,2,2,2] => 363
[7,5,6,2,1,8,4,3] => 1011011 => [1,1,2,1,2] => 611
[8,7,5,2,1,6,4,3] => 1111011 => [4,1,2] => 85
[7,1,3,5,8,6,2,4] => 1000110 => [1,3,2,1] => 259
[5,1,3,4,6,8,7,2] => 1000011 => [1,4,2] => 85
[4,5,3,6,8,2,7,1] => 0100101 => [1,1,2,1,1,1] => 984
[5,6,3,4,8,1,7,2] => 0100101 => [1,1,2,1,1,1] => 984
[4,6,7,8,5,1,3,2] => 0001101 => [3,2,1,1] => 256
[8,4,3,1,2,6,7,5] => 1110001 => [3,3,1] => 110
[8,5,1,6,3,4,7,2] => 1101001 => [2,1,1,2,1] => 603
[5,1,8,6,3,4,7,2] => 1011001 => [1,1,2,2,1] => 611
[4,6,8,1,5,3,7,2] => 0010101 => [2,1,1,1,1,1] => 969
[6,4,5,8,3,2,7,1] => 1001101 => [1,2,2,1,1] => 594
[3,6,4,8,7,1,5,2] => 0101101 => [1,1,1,2,1,1] => 1006
[6,5,8,1,3,4,7,2] => 1010001 => [1,1,1,3,1] => 450
[5,6,8,3,1,2,7,4] => 0011001 => [2,2,2,1] => 357
[6,1,8,3,5,2,7,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,6,8,3,5,2,1,4] => 1010110 => [1,1,1,1,2,1] => 1023
[8,6,1,3,5,2,7,4] => 1100101 => [2,2,1,1,1] => 582
[8,7,1,3,5,6,2,4] => 1100010 => [2,3,1,1] => 256
[6,7,8,3,5,1,2,4] => 0010100 => [2,1,1,1,2] => 603
[3,4,8,1,2,6,7,5] => 0010001 => [2,1,3,1] => 262
[5,8,2,4,3,6,7,1] => 0101001 => [1,1,1,1,2,1] => 1023
[5,8,2,3,1,6,7,4] => 0101001 => [1,1,1,1,2,1] => 1023
[6,8,2,3,5,1,7,4] => 0100101 => [1,1,2,1,1,1] => 984
[7,8,2,3,5,6,1,4] => 0100010 => [1,1,3,1,1] => 439
[8,6,5,1,4,3,7,2] => 1110101 => [3,1,1,1,1] => 427
[2,4,8,6,1,3,7,5] => 0011001 => [2,2,2,1] => 357
[6,7,1,8,4,3,5,2] => 0101101 => [1,1,1,2,1,1] => 1006
[2,7,8,6,1,4,3,5] => 0011010 => [2,2,1,1,1] => 582
[2,7,3,8,1,6,4,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[7,5,1,8,2,4,6,3] => 1101001 => [2,1,1,2,1] => 603
[2,7,8,4,1,6,3,5] => 0011010 => [2,2,1,1,1] => 582
[2,6,5,4,1,3,8,7] => 0111001 => [1,3,2,1] => 259
[4,1,7,6,3,8,2,5] => 1011010 => [1,1,2,1,1,1] => 984
[4,8,2,5,7,6,3,1] => 0100111 => [1,1,2,3] => 265
[3,4,6,5,1,8,2,7] => 0011010 => [2,2,1,1,1] => 582
[2,6,5,3,4,1,8,7] => 0110101 => [1,2,1,1,1,1] => 969
[4,6,1,5,2,3,8,7] => 0101001 => [1,1,1,1,2,1] => 1023
[6,2,3,5,1,4,8,7] => 1001001 => [1,2,1,2,1] => 603
[2,6,7,5,1,8,4,3] => 0011011 => [2,2,1,2] => 357
[8,6,1,2,5,3,4,7] => 1100100 => [2,2,1,2] => 357
[6,2,5,1,8,3,4,7] => 1010100 => [1,1,1,1,1,2] => 1023
[7,6,5,2,8,3,4,1] => 1110101 => [3,1,1,1,1] => 427
[2,6,3,5,1,8,7,4] => 0101011 => [1,1,1,1,1,2] => 1023
[2,4,7,6,5,8,1,3] => 0011010 => [2,2,1,1,1] => 582
[2,1,4,8,7,6,3,5] => 1001110 => [1,2,3,1] => 262
[7,4,6,8,5,3,2,1] => 1001111 => [1,2,4] => 85
[8,1,3,5,7,4,6,2] => 1000101 => [1,3,1,1,1] => 427
[3,2,8,7,5,1,6,4] => 1011101 => [1,1,3,1,1] => 439
[4,8,5,1,6,7,2,3] => 0110010 => [1,2,2,1,1] => 594
[3,8,5,1,6,7,2,4] => 0110010 => [1,2,2,1,1] => 594
[7,8,6,1,3,5,2,4] => 0110010 => [1,2,2,1,1] => 594
[5,6,7,2,8,1,3,4] => 0010100 => [2,1,1,1,2] => 603
[2,5,1,8,6,7,4,3] => 0101011 => [1,1,1,1,1,2] => 1023
[3,5,1,8,6,7,4,2] => 0101011 => [1,1,1,1,1,2] => 1023
[5,2,3,8,6,7,4,1] => 1001011 => [1,2,1,1,2] => 603
[8,3,5,4,6,7,1,2] => 1010010 => [1,1,1,2,1,1] => 1006
[5,1,3,8,6,7,4,2] => 1001011 => [1,2,1,1,2] => 603
[3,2,5,8,6,7,4,1] => 1001011 => [1,2,1,1,2] => 603
[6,2,1,5,3,8,7,4] => 1101011 => [2,1,1,1,2] => 603
[5,6,3,2,8,1,4,7] => 0110100 => [1,2,1,1,2] => 603
[8,1,6,3,5,2,7,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,7,6,2,5,3,1,4] => 1110110 => [3,1,2,1] => 259
[4,7,6,8,3,2,5,1] => 0101101 => [1,1,1,2,1,1] => 1006
[2,7,5,8,1,3,4,6] => 0101000 => [1,1,1,1,3] => 450
[7,6,2,8,5,1,4,3] => 1101101 => [2,1,2,1,1] => 594
[8,1,3,7,5,2,6,4] => 1001101 => [1,2,2,1,1] => 594
[3,4,8,7,5,1,6,2] => 0011101 => [2,3,1,1] => 256
[6,3,8,1,4,2,5,7] => 1010100 => [1,1,1,1,1,2] => 1023
[6,3,8,5,7,4,1,2] => 1010110 => [1,1,1,1,2,1] => 1023
[7,4,6,8,5,1,3,2] => 1001101 => [1,2,2,1,1] => 594
[2,1,4,8,7,5,6,3] => 1001101 => [1,2,2,1,1] => 594
[7,1,5,8,2,6,4,3] => 1001011 => [1,2,1,1,2] => 603
[3,6,8,2,4,1,7,5] => 0010101 => [2,1,1,1,1,1] => 969
[4,5,8,2,6,7,3,1] => 0010011 => [2,1,2,2] => 363
[5,2,8,1,6,7,3,4] => 1010010 => [1,1,1,2,1,1] => 1006
[2,5,8,4,6,7,3,1] => 0010011 => [2,1,2,2] => 363
[5,8,3,4,6,7,2,1] => 0100011 => [1,1,3,2] => 265
[8,4,3,2,6,7,1,5] => 1110010 => [3,2,1,1] => 256
[4,2,8,1,6,7,3,5] => 1010010 => [1,1,1,2,1,1] => 1006
[2,4,8,1,6,7,3,5] => 0010010 => [2,1,2,1,1] => 594
[5,1,8,2,6,7,3,4] => 1010010 => [1,1,1,2,1,1] => 1006
[3,4,8,7,2,1,5,6] => 0011100 => [2,3,2] => 153
[7,8,5,3,6,4,2,1] => 0110111 => [1,2,1,3] => 262
[2,8,5,7,4,1,3,6] => 0101100 => [1,1,1,2,2] => 622
[5,8,4,1,6,7,2,3] => 0110010 => [1,2,2,1,1] => 594
[3,8,1,4,6,7,2,5] => 0100010 => [1,1,3,1,1] => 439
[8,2,3,4,6,7,1,5] => 1000010 => [1,4,1,1] => 145
[6,2,7,3,8,4,1,5] => 1010110 => [1,1,1,1,2,1] => 1023
[7,4,3,2,8,5,1,6] => 1110110 => [3,1,2,1] => 259
[8,3,6,2,5,4,1,7] => 1010110 => [1,1,1,1,2,1] => 1023
[5,4,8,3,2,6,1,7] => 1011010 => [1,1,2,1,1,1] => 984
[3,5,8,2,4,6,1,7] => 0010010 => [2,1,2,1,1] => 594
[6,4,7,8,2,3,1,5] => 1001010 => [1,2,1,1,1,1] => 969
[4,8,6,2,5,3,1,7] => 0110110 => [1,2,1,2,1] => 603
[1,6,4,3,2,8,7,5] => 0111011 => [1,3,1,2] => 259
[1,5,3,2,8,4,7,6] => 0110101 => [1,2,1,1,1,1] => 969
[5,7,4,3,1,2,6,8] => 0111000 => [1,3,3] => 110
[2,8,7,3,5,1,4,6] => 0110100 => [1,2,1,1,2] => 603
[6,1,2,7,3,8,5,4] => 1001011 => [1,2,1,1,2] => 603
[5,1,3,2,8,7,4,6] => 1010110 => [1,1,1,1,2,1] => 1023
[1,8,3,7,2,6,5,4] => 0101011 => [1,1,1,1,1,2] => 1023
[5,1,4,8,3,7,2,6] => 1001010 => [1,2,1,1,1,1] => 969
[2,1,6,8,5,4,7,3] => 1001101 => [1,2,2,1,1] => 594
[8,3,1,6,7,2,5,4] => 1100101 => [2,2,1,1,1] => 582
[3,7,6,1,5,2,4,8] => 0110100 => [1,2,1,1,2] => 603
[1,5,4,8,3,2,7,6] => 0101101 => [1,1,1,2,1,1] => 1006
[7,3,6,1,2,5,4,8] => 1010010 => [1,1,1,2,1,1] => 1006
[5,4,7,1,3,2,6,8] => 1010100 => [1,1,1,1,1,2] => 1023
[5,7,2,3,8,1,4,6] => 0100100 => [1,1,2,1,2] => 611
[6,4,7,5,8,1,2,3] => 1010100 => [1,1,1,1,1,2] => 1023
[7,4,8,5,1,6,3,2] => 1011011 => [1,1,2,1,2] => 611
[8,6,4,2,1,7,5,3] => 1111011 => [4,1,2] => 85
[7,4,2,1,5,8,6,3] => 1110011 => [3,2,2] => 153
[7,6,4,1,8,5,2,3] => 1110110 => [3,1,2,1] => 259
[1,6,4,8,7,5,3,2] => 0101111 => [1,1,1,4] => 148
[6,3,1,2,8,4,7,5] => 1100101 => [2,2,1,1,1] => 582
[6,8,4,1,2,7,5,3] => 0110011 => [1,2,2,2] => 363
[3,6,1,8,2,4,7,5] => 0101001 => [1,1,1,1,2,1] => 1023
[1,3,8,7,6,2,5,4] => 0011101 => [2,3,1,1] => 256
[5,4,1,8,7,3,2,6] => 1101110 => [2,1,3,1] => 262
[3,5,1,8,7,2,4,6] => 0101100 => [1,1,1,2,2] => 622
[5,8,4,1,7,6,2,3] => 0110110 => [1,2,1,2,1] => 603
[8,6,1,7,5,4,3,2] => 1101111 => [2,1,4] => 85
[7,1,5,8,6,4,3,2] => 1001111 => [1,2,4] => 85
[4,1,8,7,6,2,5,3] => 1011101 => [1,1,3,1,1] => 439
[3,1,8,7,6,5,2,4] => 1011110 => [1,1,4,1] => 148
[1,6,4,5,2,3,7,8] => 0101000 => [1,1,1,1,3] => 450
[1,7,4,5,2,3,6,8] => 0101000 => [1,1,1,1,3] => 450
[1,7,3,5,2,4,6,8] => 0101000 => [1,1,1,1,3] => 450
[1,6,3,5,2,4,7,8] => 0101000 => [1,1,1,1,3] => 450
[1,6,3,4,2,5,7,8] => 0101000 => [1,1,1,1,3] => 450
[1,7,3,4,2,5,6,8] => 0101000 => [1,1,1,1,3] => 450
[1,8,6,7,3,4,2,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,8,5,7,3,4,2,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,7,3,4,2,6,5,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,5,2,8,4,7,3,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,4,2,8,5,7,3,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,7,3,5,2,6,4,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,8,4,7,3,5,2,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,7,3,6,2,5,4,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,7,3,6,2,4,5,8] => 0101000 => [1,1,1,1,3] => 450
[1,7,4,6,2,3,5,8] => 0101000 => [1,1,1,1,3] => 450
[1,8,5,6,2,3,4,7] => 0101000 => [1,1,1,1,3] => 450
[1,8,5,6,2,4,3,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,3,2,8,5,6,4,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,4,2,8,5,6,3,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,5,2,8,4,6,3,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,6,2,8,4,5,3,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[9,1,2,3,5,4,6,7,8] => 10001000 => [1,3,1,3] => 676
[8,1,2,4,5,3,6,7] => 1000100 => [1,3,1,2] => 259
[2,3,4,6,5,7,8,9,1] => 00010001 => [3,1,3,1] => 676
[9,1,2,3,5,6,4,7,8] => 10000100 => [1,4,1,2] => 526
[2,3,4,7,5,6,8,9,1] => 00010001 => [3,1,3,1] => 676
[2,3,4,6,7,5,8,9,1] => 00001001 => [4,1,2,1] => 526
[8,6,4,7,2,1,3,5] => 1101100 => [2,1,2,2] => 363
[8,4,6,2,3,5,1,7] => 1010010 => [1,1,1,2,1,1] => 1006
[5,4,8,2,3,6,1,7] => 1010010 => [1,1,1,2,1,1] => 1006
[3,8,6,2,4,5,1,7] => 0110010 => [1,2,2,1,1] => 594
[1,7,6,4,8,2,3,5] => 0110100 => [1,2,1,1,2] => 603
[5,8,7,4,1,2,3,6] => 0111000 => [1,3,3] => 110
[6,8,5,3,4,1,2,7] => 0110100 => [1,2,1,1,2] => 603
[6,8,3,7,2,1,4,5] => 0101100 => [1,1,1,2,2] => 622
[6,1,3,7,4,8,2,5] => 1001010 => [1,2,1,1,1,1] => 969
[7,1,6,4,8,2,3,5] => 1010100 => [1,1,1,1,1,2] => 1023
[1,8,5,7,2,3,4,6] => 0101000 => [1,1,1,1,3] => 450
[6,1,5,8,2,3,4,7] => 1001000 => [1,2,1,3] => 262
[6,1,5,7,8,2,3,4] => 1000100 => [1,3,1,2] => 259
[3,8,7,5,1,2,4,6] => 0111000 => [1,3,3] => 110
[3,7,6,1,2,4,5,8] => 0110000 => [1,2,4] => 85
[4,7,6,1,2,3,5,8] => 0110000 => [1,2,4] => 85
[1,6,5,8,2,3,4,7] => 0101000 => [1,1,1,1,3] => 450
[8,5,7,4,1,2,3,6] => 1011000 => [1,1,2,3] => 265
[8,6,2,3,1,7,4,5] => 1101010 => [2,1,1,1,1,1] => 969
[8,6,4,1,2,7,3,5] => 1110010 => [3,2,1,1] => 256
[1,7,2,8,6,3,4,5] => 0101100 => [1,1,1,2,2] => 622
[7,5,8,1,3,6,2,4] => 1010010 => [1,1,1,2,1,1] => 1006
[5,4,1,8,2,3,6,7] => 1101000 => [2,1,1,3] => 262
[1,4,8,7,2,3,5,6] => 0011000 => [2,2,3] => 153
[1,5,8,7,2,3,4,6] => 0011000 => [2,2,3] => 153
[5,7,1,3,8,2,4,6] => 0100100 => [1,1,2,1,2] => 611
[7,1,5,8,6,2,3,4] => 1001100 => [1,2,2,2] => 363
[6,1,8,2,7,3,4,5] => 1010100 => [1,1,1,1,1,2] => 1023
[4,1,8,7,2,3,5,6] => 1011000 => [1,1,2,3] => 265
[5,1,8,7,2,3,4,6] => 1011000 => [1,1,2,3] => 265
[1,8,7,6,4,5,3,2] => 0111011 => [1,3,1,2] => 259
[8,7,6,4,3,5,2,1,9] => 11110110 => [4,1,2,1] => 526
[8,7,6,3,5,4,2,1,9] => 11101110 => [3,1,3,1] => 676
[1,9,8,7,5,4,6,3,2] => 01111011 => [1,4,1,2] => 526
[1,8,7,3,6,5,4,2] => 0110111 => [1,2,1,3] => 262
[1,9,8,7,4,6,5,3,2] => 01110111 => [1,3,1,3] => 676
[7,1,5,8,3,4,2,6] => 1001010 => [1,2,1,1,1,1] => 969
[7,1,4,3,2,5,6,8] => 1011000 => [1,1,2,3] => 265
[6,4,2,3,8,5,7,1] => 1100101 => [2,2,1,1,1] => 582
[6,4,2,7,5,8,3,1] => 1101011 => [2,1,1,1,2] => 603
[2,4,1,7,5,8,3,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[7,1,4,6,5,2,3,8] => 1001100 => [1,2,2,2] => 363
[7,1,4,6,5,8,2,3] => 1001010 => [1,2,1,1,1,1] => 969
[7,1,4,6,3,8,2,5] => 1001010 => [1,2,1,1,1,1] => 969
[7,1,4,3,2,5,8,6] => 1011001 => [1,1,2,2,1] => 611
[7,1,4,6,5,2,8,3] => 1001101 => [1,2,2,1,1] => 594
[7,1,4,6,5,3,8,2] => 1001101 => [1,2,2,1,1] => 594
[7,1,4,6,5,3,2,8] => 1001110 => [1,2,3,1] => 262
[6,4,2,7,5,3,8,1] => 1101101 => [2,1,2,1,1] => 594
[3,4,7,2,6,8,5,1] => 0010011 => [2,1,2,2] => 363
[3,4,7,1,6,8,2,5] => 0010010 => [2,1,2,1,1] => 594
[3,4,7,1,6,8,5,2] => 0010011 => [2,1,2,2] => 363
[2,4,1,7,5,3,6,8] => 0101100 => [1,1,1,2,2] => 622
[3,4,1,7,8,6,2,5] => 0100110 => [1,1,2,2,1] => 611
[6,4,2,3,8,5,1,7] => 1100110 => [2,2,2,1] => 357
[6,4,2,7,5,8,1,3] => 1101010 => [2,1,1,1,1,1] => 969
[6,4,2,7,5,3,1,8] => 1101110 => [2,1,3,1] => 262
[3,4,7,2,6,8,1,5] => 0010010 => [2,1,2,1,1] => 594
[5,4,7,3,6,8,2,1] => 1010011 => [1,1,1,2,2] => 622
[3,4,7,2,6,5,1,8] => 0010110 => [2,1,1,2,1] => 603
[4,8,3,2,5,6,1,7] => 0110010 => [1,2,2,1,1] => 594
[4,8,7,3,5,1,2,6] => 0110100 => [1,2,1,1,2] => 603
[4,8,7,1,3,5,2,6] => 0110010 => [1,2,2,1,1] => 594
[4,8,3,1,2,6,5,7] => 0110010 => [1,2,2,1,1] => 594
[3,4,7,1,6,2,5,8] => 0010100 => [2,1,1,1,2] => 603
[3,4,7,1,6,2,8,5] => 0010101 => [2,1,1,1,1,1] => 969
[3,4,7,2,6,5,8,1] => 0010101 => [2,1,1,1,1,1] => 969
[4,8,3,1,2,6,7,5] => 0110001 => [1,2,3,1] => 262
[5,8,1,6,3,4,2,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[6,8,5,1,3,7,2,4] => 0110010 => [1,2,2,1,1] => 594
[6,8,5,1,3,4,7,2] => 0110001 => [1,2,3,1] => 262
[5,8,3,4,2,6,7,1] => 0101001 => [1,1,1,1,2,1] => 1023
[5,4,7,3,6,2,8,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,4,7,2,6,1,8,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,4,3,7,5,1,2,8] => 1101100 => [2,1,2,2] => 363
[6,4,3,7,5,1,8,2] => 1101101 => [2,1,2,1,1] => 594
[6,2,4,3,1,5,8,7] => 1011001 => [1,1,2,2,1] => 611
[3,8,7,4,1,5,2,6] => 0111010 => [1,3,1,1,1] => 427
[2,4,7,3,6,1,5,8] => 0010100 => [2,1,1,1,2] => 603
[5,8,3,2,1,6,4,7] => 0111010 => [1,3,1,1,1] => 427
[5,8,7,4,3,1,2,6] => 0111100 => [1,4,2] => 85
[5,4,7,3,6,2,1,8] => 1010110 => [1,1,1,1,2,1] => 1023
[7,3,8,2,1,6,5,4] => 1011011 => [1,1,2,1,2] => 611
[7,4,3,8,5,2,1,6] => 1101110 => [2,1,3,1] => 262
[6,5,2,8,4,3,1,7] => 1101110 => [2,1,3,1] => 262
[4,3,2,8,6,5,1,7] => 1101110 => [2,1,3,1] => 262
[4,3,8,7,5,1,6,2] => 1011101 => [1,1,3,1,1] => 439
[3,2,5,8,6,1,4,7] => 1001100 => [1,2,2,2] => 363
[8,4,3,7,5,2,6,1] => 1101101 => [2,1,2,1,1] => 594
[4,3,7,8,5,1,2,6] => 1001100 => [1,2,2,2] => 363
[5,3,7,8,4,1,2,6] => 1001100 => [1,2,2,2] => 363
[6,2,5,8,3,1,4,7] => 1001100 => [1,2,2,2] => 363
[6,2,4,8,3,1,5,7] => 1001100 => [1,2,2,2] => 363
[5,2,3,8,4,1,6,7] => 1001100 => [1,2,2,2] => 363
[5,3,8,7,4,1,6,2] => 1011101 => [1,1,3,1,1] => 439
[5,3,2,8,6,4,1,7] => 1101110 => [2,1,3,1] => 262
[7,5,3,8,4,2,1,6] => 1101110 => [2,1,3,1] => 262
[8,7,5,3,6,2,4,1] => 1110101 => [3,1,1,1,1] => 427
[8,6,5,3,7,2,4,1] => 1110101 => [3,1,1,1,1] => 427
[7,5,4,3,8,2,6,1] => 1110101 => [3,1,1,1,1] => 427
[6,4,5,3,8,2,7,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,4,6,3,8,2,5,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,5,6,3,8,2,4,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,5,6,3,7,2,4,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,4,6,3,5,2,8,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,4,6,3,5,2,7,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,4,7,3,5,2,6,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,5,7,3,4,2,6,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,5,8,4,3,2,6,1] => 1011101 => [1,1,3,1,1] => 439
[6,5,8,4,3,2,7,1] => 1011101 => [1,1,3,1,1] => 439
[6,5,8,3,4,2,7,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,5,8,3,4,2,6,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,5,8,4,6,2,3,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,4,8,3,6,2,5,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,4,8,3,5,2,6,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,4,8,3,5,2,7,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,4,7,3,5,2,8,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,4,8,3,7,2,6,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,5,8,3,7,2,4,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,5,8,4,7,2,3,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,5,8,4,7,3,2,1] => 1010111 => [1,1,1,1,3] => 450
[6,4,7,3,8,2,5,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,4,7,3,8,2,6,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,4,6,3,8,2,7,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,3,6,2,4,7,8,1] => 1010001 => [1,1,1,3,1] => 450
[5,3,6,1,4,8,7,2] => 1010011 => [1,1,1,2,2] => 622
[5,3,7,2,4,6,8,1] => 1010001 => [1,1,1,3,1] => 450
[4,3,1,5,6,8,7,2] => 1100011 => [2,3,2] => 153
[4,2,1,5,8,6,3,7] => 1100110 => [2,2,2,1] => 357
[4,2,1,5,8,6,7,3] => 1100101 => [2,2,1,1,1] => 582
[4,2,1,5,8,7,6,3] => 1100111 => [2,2,3] => 153
[4,3,1,5,7,8,6,2] => 1100011 => [2,3,2] => 153
[4,3,1,7,5,8,6,2] => 1101011 => [2,1,1,1,2] => 603
[6,7,3,1,4,8,2,5] => 0110010 => [1,2,2,1,1] => 594
[5,3,7,1,4,8,2,6] => 1010010 => [1,1,1,2,1,1] => 1006
[4,3,1,5,7,8,2,6] => 1100010 => [2,3,1,1] => 256
[3,2,1,8,5,4,6,7] => 1101100 => [2,1,2,2] => 363
[3,2,1,8,5,7,4,6] => 1101010 => [2,1,1,1,1,1] => 969
[3,2,1,8,7,5,4,6] => 1101110 => [2,1,3,1] => 262
[5,2,7,1,8,4,3,6] => 1010110 => [1,1,1,1,2,1] => 1023
[6,7,2,1,8,4,3,5] => 0110110 => [1,2,1,2,1] => 603
[6,7,2,1,8,4,5,3] => 0110101 => [1,2,1,1,1,1] => 969
[3,2,1,8,5,6,4,7] => 1101010 => [2,1,1,1,1,1] => 969
[3,2,1,8,6,5,4,7] => 1101110 => [2,1,3,1] => 262
[4,3,1,6,7,8,5,2] => 1100011 => [2,3,2] => 153
[4,2,1,6,8,7,5,3] => 1100111 => [2,2,3] => 153
[4,2,1,6,8,5,7,3] => 1100101 => [2,2,1,1,1] => 582
[4,2,1,6,8,5,3,7] => 1100110 => [2,2,2,1] => 357
[5,2,6,1,8,4,3,7] => 1010110 => [1,1,1,1,2,1] => 1023
[5,2,6,1,8,7,4,3] => 1010111 => [1,1,1,1,3] => 450
[5,2,6,1,8,7,3,4] => 1010110 => [1,1,1,1,2,1] => 1023
[5,2,6,1,8,3,4,7] => 1010100 => [1,1,1,1,1,2] => 1023
[4,2,1,6,8,3,7,5] => 1100101 => [2,2,1,1,1] => 582
[4,3,1,6,7,8,2,5] => 1100010 => [2,3,1,1] => 256
[6,7,3,1,5,8,2,4] => 0110010 => [1,2,2,1,1] => 594
[4,2,1,7,8,6,3,5] => 1100110 => [2,2,2,1] => 357
[3,2,1,8,7,6,4,5] => 1101110 => [2,1,3,1] => 262
[3,2,1,8,6,4,7,5] => 1101101 => [2,1,2,1,1] => 594
[3,2,1,8,6,4,5,7] => 1101100 => [2,1,2,2] => 363
[3,2,1,8,4,6,5,7] => 1101010 => [2,1,1,1,1,1] => 969
[3,2,1,8,4,6,7,5] => 1101001 => [2,1,1,2,1] => 603
[3,2,1,8,4,7,6,5] => 1101011 => [2,1,1,1,2] => 603
[3,2,1,8,7,4,6,5] => 1101101 => [2,1,2,1,1] => 594
[4,2,1,7,8,3,6,5] => 1100101 => [2,2,1,1,1] => 582
[5,2,7,1,8,3,6,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,7,2,1,8,3,5,4] => 0110101 => [1,2,1,1,1,1] => 969
[5,2,7,1,8,3,4,6] => 1010100 => [1,1,1,1,1,2] => 1023
[4,2,1,7,8,3,5,6] => 1100100 => [2,2,1,2] => 357
[3,2,1,8,4,5,7,6] => 1101001 => [2,1,1,2,1] => 603
[7,5,2,8,6,3,4,1] => 1101101 => [2,1,2,1,1] => 594
[7,4,8,6,2,5,3,1] => 1011011 => [1,1,2,1,2] => 611
[7,3,8,6,2,4,5,1] => 1011001 => [1,1,2,2,1] => 611
[7,4,3,1,8,2,5,6] => 1110100 => [3,1,1,2] => 259
[7,4,2,8,5,6,1,3] => 1101010 => [2,1,1,1,1,1] => 969
[7,3,8,5,2,4,6,1] => 1011001 => [1,1,2,2,1] => 611
[7,3,8,4,5,6,2,1] => 1010011 => [1,1,1,2,2] => 622
[6,3,8,2,4,5,1,7] => 1010010 => [1,1,1,2,1,1] => 1006
[6,3,8,2,5,7,4,1] => 1010011 => [1,1,1,2,2] => 622
[6,4,3,8,1,5,2,7] => 1101010 => [2,1,1,1,1,1] => 969
[6,3,7,8,2,4,1,5] => 1001010 => [1,2,1,1,1,1] => 969
[5,6,7,3,8,2,4,1] => 0010101 => [2,1,1,1,1,1] => 969
[5,4,7,2,6,8,1,3] => 1010010 => [1,1,1,2,1,1] => 1006
[5,3,8,2,4,6,7,1] => 1010001 => [1,1,1,3,1] => 450
[6,3,8,2,4,7,5,1] => 1010011 => [1,1,1,2,2] => 622
[5,7,4,2,6,8,1,3] => 0110010 => [1,2,2,1,1] => 594
[6,4,8,2,7,5,1,3] => 1010110 => [1,1,1,1,2,1] => 1023
[6,5,3,1,4,2,7,8] => 1110100 => [3,1,1,2] => 259
[5,7,4,2,6,1,3,8] => 0110100 => [1,2,1,1,2] => 603
[5,6,4,2,3,8,1,7] => 0110010 => [1,2,2,1,1] => 594
[5,6,3,7,8,2,4,1] => 0100101 => [1,1,2,1,1,1] => 984
[5,6,3,8,2,4,7,1] => 0101001 => [1,1,1,1,2,1] => 1023
[6,3,7,2,4,5,1,8] => 1010010 => [1,1,1,2,1,1] => 1006
[6,3,7,2,5,8,4,1] => 1010011 => [1,1,1,2,2] => 622
[5,3,6,8,2,4,7,1] => 1001001 => [1,2,1,2,1] => 603
[5,4,6,2,3,8,1,7] => 1010010 => [1,1,1,2,1,1] => 1006
[5,3,6,7,8,2,4,1] => 1000101 => [1,3,1,1,1] => 427
[3,6,4,2,1,5,8,7] => 0111001 => [1,3,2,1] => 259
[3,5,8,6,4,2,1,7] => 0011110 => [2,4,1] => 85
[5,8,6,3,4,2,1,7] => 0110110 => [1,2,1,2,1] => 603
[5,6,3,4,2,1,8,7] => 0101101 => [1,1,1,2,1,1] => 1006
[6,3,4,2,1,5,8,7] => 1011001 => [1,1,2,2,1] => 611
[5,6,4,2,1,3,8,7] => 0111001 => [1,3,2,1] => 259
[2,5,4,1,7,8,6,3] => 0110011 => [1,2,2,2] => 363
[2,7,8,5,4,1,6,3] => 0011101 => [2,3,1,1] => 256
[2,8,5,4,1,6,3,7] => 0111010 => [1,3,1,1,1] => 427
[2,6,3,8,5,4,1,7] => 0101110 => [1,1,1,3,1] => 450
[2,8,6,3,5,4,1,7] => 0110110 => [1,2,1,2,1] => 603
[5,8,6,4,2,1,3,7] => 0111100 => [1,4,2] => 85
[4,2,1,5,7,8,6,3] => 1100011 => [2,3,2] => 153
[2,7,8,6,3,5,4,1] => 0011011 => [2,2,1,2] => 357
[4,3,8,5,7,6,2,1] => 1010111 => [1,1,1,1,3] => 450
[7,6,2,1,8,4,3,5] => 1110110 => [3,1,2,1] => 259
[2,1,8,5,6,4,3,7] => 1010110 => [1,1,1,1,2,1] => 1023
[4,2,1,8,5,6,3,7] => 1101010 => [2,1,1,1,1,1] => 969
[8,4,2,1,5,6,3,7] => 1110010 => [3,2,1,1] => 256
[2,5,6,3,8,4,1,7] => 0010110 => [2,1,1,2,1] => 603
[6,3,4,2,1,8,5,7] => 1011010 => [1,1,2,1,1,1] => 984
[3,7,8,5,6,4,2,1] => 0010111 => [2,1,1,3] => 262
[3,8,5,6,4,2,1,7] => 0101110 => [1,1,1,3,1] => 450
[3,6,4,2,1,8,5,7] => 0111010 => [1,3,1,1,1] => 427
[3,8,6,4,2,1,5,7] => 0111100 => [1,4,2] => 85
[3,7,8,6,4,2,1,5] => 0011110 => [2,4,1] => 85
[8,5,3,7,6,2,4,1] => 1101101 => [2,1,2,1,1] => 594
[7,6,2,4,1,8,5,3] => 1101011 => [2,1,1,1,2] => 603
[8,5,4,1,7,6,2,3] => 1110110 => [3,1,2,1] => 259
[7,6,2,3,8,5,4,1] => 1100111 => [2,2,3] => 153
[2,1,7,8,6,4,3,5] => 1001110 => [1,2,3,1] => 262
[2,1,6,4,3,7,8,5] => 1011001 => [1,1,2,2,1] => 611
[6,4,2,1,3,7,8,5] => 1110001 => [3,3,1] => 110
[6,3,7,8,4,2,1,5] => 1001110 => [1,2,3,1] => 262
[7,8,4,2,1,6,3,5] => 0111010 => [1,3,1,1,1] => 427
[5,7,6,2,3,8,4,1] => 0110011 => [1,2,2,2] => 363
[2,6,1,8,4,3,7,5] => 0101101 => [1,1,1,2,1,1] => 1006
[2,6,1,7,5,8,4,3] => 0101011 => [1,1,1,1,1,2] => 1023
[8,4,2,3,7,5,6,1] => 1100101 => [2,2,1,1,1] => 582
[8,5,7,6,2,1,4,3] => 1011101 => [1,1,3,1,1] => 439
[4,8,5,7,6,2,1,3] => 0101110 => [1,1,1,3,1] => 450
[4,7,6,2,1,3,8,5] => 0111001 => [1,3,2,1] => 259
[7,5,6,1,8,4,2,3] => 1010110 => [1,1,1,1,2,1] => 1023
[2,7,5,8,4,3,6,1] => 0101101 => [1,1,1,2,1,1] => 1006
[2,8,4,3,6,1,7,5] => 0110101 => [1,2,1,1,1,1] => 969
[6,4,7,8,3,2,1,5] => 1001110 => [1,2,3,1] => 262
[7,6,5,8,4,3,2,1,9] => 11011110 => [2,1,4,1] => 534
[7,6,5,4,9,3,2,1,8] => 11101110 => [3,1,3,1] => 676
[7,6,5,4,3,8,2,1,9] => 11110110 => [4,1,2,1] => 526
[7,6,5,4,3,2,8,1,9] => 11111010 => [5,1,1,1] => 240
[6,9,8,5,4,3,2,1,7] => 01111110 => [1,6,1] => 50
[7,5,8,9,4,3,2,1,6] => 10011110 => [1,2,4,1] => 534
[6,4,3,7,5,2,1,8] => 1101110 => [2,1,3,1] => 262
[7,6,4,8,9,3,2,1,5] => 11001110 => [2,2,3,1] => 934
[6,5,3,2,8,4,1,7] => 1110110 => [3,1,2,1] => 259
[7,6,5,3,9,8,2,1,4] => 11101110 => [3,1,3,1] => 676
[6,5,2,7,8,4,1,3] => 1100110 => [2,2,2,1] => 357
[7,6,5,4,2,8,9,1,3] => 11110010 => [4,2,1,1] => 522
[7,6,5,4,3,1,8,9,2] => 11111001 => [5,2,1] => 138
[6,5,8,7,4,3,2,1,9] => 10111110 => [1,1,5,1] => 244
[7,5,4,8,6,3,2,1,9] => 11011110 => [2,1,4,1] => 534
[5,9,8,7,4,3,2,1,6] => 01111110 => [1,6,1] => 50
[6,4,3,2,5,8,1,7] => 1110010 => [3,2,1,1] => 256
[7,6,4,3,9,5,2,1,8] => 11101110 => [3,1,3,1] => 676
[7,4,8,9,6,3,2,1,5] => 10011110 => [1,2,4,1] => 534
[6,3,7,2,5,4,1,8] => 1010110 => [1,1,1,1,2,1] => 1023
[7,6,5,3,2,8,4,1,9] => 11110110 => [4,1,2,1] => 526
[7,6,3,8,9,5,2,1,4] => 11001110 => [2,2,3,1] => 934
[7,6,5,4,2,1,8,3,9] => 11111010 => [5,1,1,1] => 240
[6,3,2,7,5,4,1,8] => 1101110 => [2,1,3,1] => 262
[7,6,5,2,9,8,4,1,3] => 11101110 => [3,1,3,1] => 676
[7,6,5,4,1,8,9,3,2] => 11110011 => [4,2,2] => 306
[8,4,2,6,3,1,7,5] => 1101101 => [2,1,2,1,1] => 594
[1,5,3,7,4,2,8,6] => 0101101 => [1,1,1,2,1,1] => 1006
[1,6,7,3,4,2,8,5] => 0010101 => [2,1,1,1,1,1] => 969
[8,6,5,2,3,1,7,4] => 1110101 => [3,1,1,1,1] => 427
[1,7,6,3,4,2,8,5] => 0110101 => [1,2,1,1,1,1] => 969
[1,8,6,3,2,5,7,4] => 0111001 => [1,3,2,1] => 259
[8,7,5,2,1,4,6,3] => 1111001 => [4,2,1] => 85
[7,8,5,2,1,4,6,3] => 0111001 => [1,3,2,1] => 259
[6,8,5,2,3,1,7,4] => 0110101 => [1,2,1,1,1,1] => 969
[5,8,6,2,3,1,7,4] => 0110101 => [1,2,1,1,1,1] => 969
[4,8,2,6,3,1,7,5] => 0101101 => [1,1,1,2,1,1] => 1006
[3,2,8,6,4,1,7,5] => 1011101 => [1,1,3,1,1] => 439
[3,2,1,7,5,4,8,6] => 1101101 => [2,1,2,1,1] => 594
[4,1,3,7,5,2,8,6] => 1001101 => [1,2,2,1,1] => 594
[5,1,7,3,4,2,8,6] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,1,6,3,2,5,8,4] => 1011001 => [1,1,2,2,1] => 611
[1,2,7,4,3,6,8,5] => 0011001 => [2,2,2,1] => 357
[6,1,8,2,4,5,7,3] => 1010001 => [1,1,1,3,1] => 450
[5,1,8,3,2,6,7,4] => 1011001 => [1,1,2,2,1] => 611
[3,2,8,7,1,5,6,4] => 1011001 => [1,1,2,2,1] => 611
[4,8,2,7,1,5,6,3] => 0101001 => [1,1,1,1,2,1] => 1023
[5,8,7,2,1,4,6,3] => 0111001 => [1,3,2,1] => 259
[6,8,7,1,3,4,5,2] => 0110001 => [1,2,3,1] => 262
[7,8,6,1,3,4,5,2] => 0110001 => [1,2,3,1] => 262
[1,7,8,2,4,5,6,3] => 0010001 => [2,1,3,1] => 262
[8,6,7,1,3,4,5,2] => 1010001 => [1,1,1,3,1] => 450
[7,6,8,1,3,4,5,2] => 1010001 => [1,1,1,3,1] => 450
[6,5,8,2,3,1,7,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[1,6,8,3,2,5,7,4] => 0011001 => [2,2,2,1] => 357
[1,5,3,8,2,6,7,4] => 0101001 => [1,1,1,1,2,1] => 1023
[8,4,2,7,1,5,6,3] => 1101001 => [2,1,1,2,1] => 603
[7,4,2,8,1,5,6,3] => 1101001 => [2,1,1,2,1] => 603
[6,4,2,8,3,1,7,5] => 1101101 => [2,1,2,1,1] => 594
[5,4,2,3,8,1,7,6] => 1100101 => [2,2,1,1,1] => 582
[4,5,2,3,1,6,8,7] => 0101001 => [1,1,1,1,2,1] => 1023
[7,4,2,1,3,6,8,5] => 1110001 => [3,3,1] => 110
[8,4,2,1,3,6,7,5] => 1110001 => [3,3,1] => 110
[1,5,3,2,4,7,8,6] => 0110001 => [1,2,3,1] => 262
[8,5,1,3,2,6,7,4] => 1101001 => [2,1,1,2,1] => 603
[5,6,1,3,4,2,8,7] => 0100101 => [1,1,2,1,1,1] => 984
[4,6,2,1,5,3,8,7] => 0110101 => [1,2,1,1,1,1] => 969
[4,7,2,1,3,6,8,5] => 0110001 => [1,2,3,1] => 262
[5,7,1,3,2,6,8,4] => 0101001 => [1,1,1,1,2,1] => 1023
[6,7,1,2,4,5,8,3] => 0100001 => [1,1,4,1] => 148
[8,6,1,2,4,5,7,3] => 1100001 => [2,4,1] => 85
[1,8,2,3,5,6,7,4] => 0100001 => [1,1,4,1] => 148
[8,7,1,2,4,5,6,3] => 1100001 => [2,4,1] => 85
[7,8,1,2,4,5,6,3] => 0100001 => [1,1,4,1] => 148
[5,8,1,3,2,6,7,4] => 0101001 => [1,1,1,1,2,1] => 1023
[4,8,2,1,3,6,7,5] => 0110001 => [1,2,3,1] => 262
[4,1,3,2,5,7,8,6] => 1010001 => [1,1,1,3,1] => 450
[5,1,2,4,3,7,8,6] => 1001001 => [1,2,1,2,1] => 603
[5,4,8,1,2,3,7,6] => 1010001 => [1,1,1,3,1] => 450
[1,4,7,6,3,2,5,8] => 0011100 => [2,3,2] => 153
[4,8,3,2,7,6,1,5] => 0110110 => [1,2,1,2,1] => 603
[4,3,8,2,7,1,6,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[1,4,7,3,6,2,5,8] => 0010100 => [2,1,1,1,2] => 603
[4,3,2,8,1,7,6,5] => 1101011 => [2,1,1,1,2] => 603
[4,1,8,3,7,2,5,6] => 1010100 => [1,1,1,1,1,2] => 1023
[4,1,8,7,3,2,5,6] => 1011100 => [1,1,3,2] => 265
[4,7,8,1,2,5,3,6] => 0010010 => [2,1,2,1,1] => 594
[3,4,7,6,2,1,8,5] => 0011101 => [2,3,1,1] => 256
[3,4,2,7,1,6,8,5] => 0101001 => [1,1,1,1,2,1] => 1023
[2,3,6,7,4,1,8,5] => 0001101 => [3,2,1,1] => 256
[2,6,3,4,7,8,1,5] => 0100010 => [1,1,3,1,1] => 439
[2,6,7,8,3,4,1,5] => 0001010 => [3,1,1,1,1] => 427
[3,1,7,8,4,2,5,6] => 1001100 => [1,2,2,2] => 363
[4,1,3,2,8,7,5,6] => 1010110 => [1,1,1,1,2,1] => 1023
[3,7,8,2,6,4,1,5] => 0010110 => [2,1,1,2,1] => 603
[4,2,3,8,1,6,7,5] => 1001001 => [1,2,1,2,1] => 603
[4,3,1,8,2,5,7,6] => 1101001 => [2,1,1,2,1] => 603
[1,3,6,7,4,2,5,8] => 0001100 => [3,2,2] => 153
[3,2,7,8,4,1,6,5] => 1001101 => [1,2,2,1,1] => 594
[4,2,8,6,3,1,7,5] => 1011101 => [1,1,3,1,1] => 439
[3,7,2,4,8,6,1,5] => 0100110 => [1,1,2,2,1] => 611
[3,2,7,4,8,1,6,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[1,3,6,4,7,2,5,8] => 0010100 => [2,1,1,1,2] => 603
[3,2,4,7,1,8,6,5] => 1001011 => [1,2,1,1,2] => 603
[3,7,4,2,6,8,1,5] => 0110010 => [1,2,2,1,1] => 594
[3,7,4,6,2,8,1,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,7,1,5,8,2,3,6] => 0100100 => [1,1,2,1,2] => 611
[3,7,6,4,8,2,1,5] => 0110110 => [1,2,1,2,1] => 603
[3,1,7,4,8,2,5,6] => 1010100 => [1,1,1,1,1,2] => 1023
[2,6,7,3,8,4,1,5] => 0010110 => [2,1,1,2,1] => 603
[2,3,6,4,7,1,8,5] => 0010101 => [2,1,1,1,1,1] => 969
[8,7,5,2,6,3,4,1] => 1110101 => [3,1,1,1,1] => 427
[8,6,5,2,7,3,4,1] => 1110101 => [3,1,1,1,1] => 427
[7,4,8,5,6,3,2,1] => 1010111 => [1,1,1,1,3] => 450
[3,4,6,7,8,5,1,2] => 0000110 => [4,2,1] => 85
[1,2,6,4,7,5,8,3] => 0010101 => [2,1,1,1,1,1] => 969
[3,1,7,5,4,2,6,8] => 1011100 => [1,1,3,2] => 265
[6,3,8,5,4,7,1,2] => 1011010 => [1,1,2,1,1,1] => 984
[1,6,2,5,4,7,8,3] => 0101001 => [1,1,1,1,2,1] => 1023
[1,8,2,5,6,3,7,4] => 0100101 => [1,1,2,1,1,1] => 984
[1,2,6,4,8,5,7,3] => 0010101 => [2,1,1,1,1,1] => 969
[7,8,3,1,4,2,5,6] => 0110100 => [1,2,1,1,2] => 603
[4,8,1,5,2,3,6,7] => 0101000 => [1,1,1,1,3] => 450
[7,4,1,5,2,3,6,8] => 1101000 => [2,1,1,3] => 262
[5,6,1,8,4,3,2,7] => 0101110 => [1,1,1,3,1] => 450
[5,1,8,6,4,3,2,7] => 1011110 => [1,1,4,1] => 148
[5,1,6,3,8,7,2,4] => 1010110 => [1,1,1,1,2,1] => 1023
[6,1,2,5,8,3,7,4] => 1000101 => [1,3,1,1,1] => 427
[6,1,8,7,4,3,2,5] => 1011110 => [1,1,4,1] => 148
[7,1,2,5,4,8,6,3] => 1001011 => [1,2,1,1,2] => 603
[1,2,7,5,8,3,6,4] => 0010101 => [2,1,1,1,1,1] => 969
[4,1,6,3,7,5,2,8] => 1010110 => [1,1,1,1,2,1] => 1023
[1,3,6,7,8,5,2,4] => 0000110 => [4,2,1] => 85
[1,2,6,4,7,8,5,3] => 0010011 => [2,1,2,2] => 363
[4,1,6,3,7,8,2,5] => 1010010 => [1,1,1,2,1,1] => 1006
[3,1,6,4,8,2,7,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,8,4,1,6,3,2,5] => 0110110 => [1,2,1,2,1] => 603
[4,1,6,3,8,7,2,5] => 1010110 => [1,1,1,1,2,1] => 1023
[7,5,1,8,4,3,2,6] => 1101110 => [2,1,3,1] => 262
[6,5,1,7,4,3,2,8] => 1101110 => [2,1,3,1] => 262
[4,1,8,5,2,3,7,6] => 1011001 => [1,1,2,2,1] => 611
[4,1,6,8,3,7,2,5] => 1001010 => [1,2,1,1,1,1] => 969
[5,4,6,1,3,8,2,7] => 1010010 => [1,1,1,2,1,1] => 1006
[6,5,8,1,4,3,2,7] => 1010110 => [1,1,1,1,2,1] => 1023
[1,3,5,7,6,8,2,4] => 0001010 => [3,1,1,1,1] => 427
[1,3,5,7,6,2,8,4] => 0001101 => [3,2,1,1] => 256
[1,3,5,7,2,6,8,4] => 0001001 => [3,1,2,1] => 259
[1,3,5,2,7,6,4,8] => 0010110 => [2,1,1,2,1] => 603
[1,3,5,7,6,2,4,8] => 0001100 => [3,2,2] => 153
[1,3,5,7,4,6,8,2] => 0001001 => [3,1,2,1] => 259
[1,3,5,7,4,6,2,8] => 0001010 => [3,1,1,1,1] => 427
[1,3,5,7,4,2,6,8] => 0001100 => [3,2,2] => 153
[1,3,5,4,7,2,6,8] => 0010100 => [2,1,1,1,2] => 603
[1,3,5,4,7,8,2,6] => 0010010 => [2,1,2,1,1] => 594
[1,3,5,4,7,2,8,6] => 0010101 => [2,1,1,1,1,1] => 969
[1,3,5,7,4,2,8,6] => 0001101 => [3,2,1,1] => 256
[1,3,5,7,4,8,2,6] => 0001010 => [3,1,1,1,1] => 427
[1,3,5,7,4,8,6,2] => 0001011 => [3,1,1,2] => 259
[1,3,5,7,8,4,6,2] => 0000101 => [4,1,1,1] => 145
[1,3,5,7,8,4,2,6] => 0000110 => [4,2,1] => 85
[1,3,5,2,7,8,6,4] => 0010011 => [2,1,2,2] => 363
[1,3,5,7,2,8,6,4] => 0001011 => [3,1,1,2] => 259
[1,3,5,7,8,2,6,4] => 0000101 => [4,1,1,1] => 145
[1,6,3,2,7,4,8,5] => 0110101 => [1,2,1,1,1,1] => 969
[3,5,1,6,2,8,7,4] => 0101011 => [1,1,1,1,1,2] => 1023
[1,3,7,2,5,4,8,6] => 0010101 => [2,1,1,1,1,1] => 969
[1,3,7,5,2,4,8,6] => 0011001 => [2,2,2,1] => 357
[2,5,7,4,3,8,1,6] => 0011010 => [2,2,1,1,1] => 582
[2,5,3,7,4,8,1,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,4,7,3,1,8,6,5] => 0011011 => [2,2,1,2] => 357
[1,4,7,3,8,2,6,5] => 0010101 => [2,1,1,1,1,1] => 969
[3,2,6,7,8,1,5,4] => 1000101 => [1,3,1,1,1] => 427
[3,5,2,7,8,4,1,6] => 0100110 => [1,1,2,2,1] => 611
[1,5,7,4,8,3,2,6] => 0010110 => [2,1,1,2,1] => 603
[4,6,2,1,7,8,3,5] => 0110010 => [1,2,2,1,1] => 594
[3,5,2,6,8,4,7,1] => 0100101 => [1,1,2,1,1,1] => 984
[2,5,7,4,3,8,6,1] => 0011011 => [2,2,1,2] => 357
[1,5,7,2,4,8,6,3] => 0010011 => [2,1,2,2] => 363
[4,6,3,7,2,8,5,1] => 0101011 => [1,1,1,1,1,2] => 1023
[1,4,7,3,8,6,2,5] => 0010110 => [2,1,1,2,1] => 603
[5,1,6,8,2,4,3,7] => 1001010 => [1,2,1,1,1,1] => 969
[5,3,7,8,2,4,1,6] => 1001010 => [1,2,1,1,1,1] => 969
[8,5,3,7,2,4,1,6] => 1101010 => [2,1,1,1,1,1] => 969
[8,2,4,7,3,1,5,6] => 1001100 => [1,2,2,2] => 363
[2,4,7,8,3,1,5,6] => 0001100 => [3,2,2] => 153
[6,3,1,5,8,2,4,7] => 1100100 => [2,2,1,2] => 357
[6,5,3,4,2,8,1,7] => 1101010 => [2,1,1,1,1,1] => 969
[5,2,4,3,8,1,6,7] => 1010100 => [1,1,1,1,1,2] => 1023
[3,2,4,8,1,5,6,7] => 1001000 => [1,2,1,3] => 262
[3,2,4,6,8,1,5,7] => 1000100 => [1,3,1,2] => 259
[8,1,5,7,3,2,4,6] => 1001100 => [1,2,2,2] => 363
[8,4,6,7,2,3,1,5] => 1001010 => [1,2,1,1,1,1] => 969
[4,6,7,8,2,3,1,5] => 0001010 => [3,1,1,1,1] => 427
[7,4,6,8,2,3,1,5] => 1001010 => [1,2,1,1,1,1] => 969
[7,2,4,8,3,1,5,6] => 1001100 => [1,2,2,2] => 363
[5,3,8,7,2,4,1,6] => 1011010 => [1,1,2,1,1,1] => 984
[2,4,8,7,3,1,5,6] => 0011100 => [2,3,2] => 153
[4,6,8,7,2,3,1,5] => 0011010 => [2,2,1,1,1] => 582
[8,7,4,6,2,3,1,5] => 1101010 => [2,1,1,1,1,1] => 969
[5,6,8,7,2,3,1,4] => 0011010 => [2,2,1,1,1] => 582
[6,4,8,7,2,3,1,5] => 1011010 => [1,1,2,1,1,1] => 984
[3,1,7,4,2,8,6,5] => 1011011 => [1,1,2,1,2] => 611
[3,2,8,4,1,7,6,5] => 1011011 => [1,1,2,1,2] => 611
[7,6,4,8,2,3,1,5] => 1101010 => [2,1,1,1,1,1] => 969
[5,7,6,8,2,3,1,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,7,6,8,2,3,1,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[8,6,4,7,2,3,1,5] => 1101010 => [2,1,1,1,1,1] => 969
[8,2,3,7,4,1,6,5] => 1001101 => [1,2,2,1,1] => 594
[2,3,7,8,4,1,6,5] => 0001101 => [3,2,1,1] => 256
[3,7,4,8,2,5,1,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,3,7,4,1,6,8,5] => 0011001 => [2,2,2,1] => 357
[8,1,6,4,2,3,7,5] => 1011001 => [1,1,2,2,1] => 611
[4,7,8,6,2,3,1,5] => 0011010 => [2,2,1,1,1] => 582
[2,4,7,3,1,5,8,6] => 0011001 => [2,2,2,1] => 357
[6,3,1,7,4,2,8,5] => 1101101 => [2,1,2,1,1] => 594
[8,5,7,6,2,3,1,4] => 1011010 => [1,1,2,1,1,1] => 984
[7,5,8,6,2,3,1,4] => 1011010 => [1,1,2,1,1,1] => 984
[7,1,6,4,2,3,8,5] => 1011001 => [1,1,2,2,1] => 611
[3,1,7,6,4,2,8,5] => 1011101 => [1,1,3,1,1] => 439
[4,8,7,6,2,3,1,5] => 0111010 => [1,3,1,1,1] => 427
[6,8,7,5,2,3,1,4] => 0111010 => [1,3,1,1,1] => 427
[4,3,6,1,5,8,7,2] => 1010011 => [1,1,1,2,2] => 622
[4,3,6,5,1,8,7,2] => 1011011 => [1,1,2,1,2] => 611
[4,6,3,5,1,8,7,2] => 0101011 => [1,1,1,1,1,2] => 1023
[4,6,3,1,5,8,7,2] => 0110011 => [1,2,2,2] => 363
[4,1,6,5,3,8,7,2] => 1011011 => [1,1,2,1,2] => 611
[4,6,1,5,3,8,7,2] => 0101011 => [1,1,1,1,1,2] => 1023
[2,6,5,3,1,8,7,4] => 0111011 => [1,3,1,2] => 259
[2,6,5,1,8,7,3,4] => 0110110 => [1,2,1,2,1] => 603
[2,6,5,8,1,7,3,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,6,5,8,1,3,7,4] => 0101001 => [1,1,1,1,2,1] => 1023
[2,6,5,8,3,1,7,4] => 0101101 => [1,1,1,2,1,1] => 1006
[2,6,5,3,8,1,7,4] => 0110101 => [1,2,1,1,1,1] => 969
[4,6,1,5,8,3,7,2] => 0100101 => [1,1,2,1,1,1] => 984
[4,1,6,5,8,3,7,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[1,4,6,5,8,3,7,2] => 0010101 => [2,1,1,1,1,1] => 969
[4,1,6,5,8,7,3,2] => 1010111 => [1,1,1,1,3] => 450
[2,6,5,3,8,7,1,4] => 0110110 => [1,2,1,2,1] => 603
[6,4,3,8,7,1,5,2] => 1101101 => [2,1,2,1,1] => 594
[6,4,8,3,7,1,5,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[2,6,8,5,3,7,1,4] => 0011010 => [2,2,1,1,1] => 582
[4,6,8,1,5,7,3,2] => 0010011 => [2,1,2,2] => 363
[4,6,1,8,5,7,3,2] => 0101011 => [1,1,1,1,1,2] => 1023
[4,1,6,8,5,7,3,2] => 1001011 => [1,2,1,1,2] => 603
[1,4,6,8,5,7,3,2] => 0001011 => [3,1,1,2] => 259
[1,4,6,8,5,3,7,2] => 0001101 => [3,2,1,1] => 256
[4,6,1,8,5,3,7,2] => 0101101 => [1,1,1,2,1,1] => 1006
[2,6,8,5,3,1,7,4] => 0011101 => [2,3,1,1] => 256
[2,6,8,5,1,7,3,4] => 0011010 => [2,2,1,1,1] => 582
[4,6,8,3,5,1,7,2] => 0010101 => [2,1,1,1,1,1] => 969
[4,6,8,3,1,5,7,2] => 0011001 => [2,2,2,1] => 357
[4,6,3,1,8,5,7,2] => 0110101 => [1,2,1,1,1,1] => 969
[4,6,3,8,1,5,7,2] => 0101001 => [1,1,1,1,2,1] => 1023
[4,6,3,8,5,7,1,2] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,3,6,8,1,5,7,2] => 1001001 => [1,2,1,2,1] => 603
[4,3,6,1,8,5,7,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,3,1,6,8,5,7,2] => 1100101 => [2,2,1,1,1] => 582
[4,1,3,6,8,7,5,2] => 1000111 => [1,3,3] => 110
[4,3,6,1,8,7,5,2] => 1010111 => [1,1,1,1,3] => 450
[4,3,6,8,1,7,5,2] => 1001011 => [1,2,1,1,2] => 603
[6,5,2,8,7,3,1,4] => 1101110 => [2,1,3,1] => 262
[6,5,2,8,7,1,3,4] => 1101100 => [2,1,2,2] => 363
[6,2,5,8,7,1,3,4] => 1001100 => [1,2,2,2] => 363
[6,2,5,8,7,3,1,4] => 1001110 => [1,2,3,1] => 262
[4,6,3,8,1,7,5,2] => 0101011 => [1,1,1,1,1,2] => 1023
[4,6,3,1,8,7,5,2] => 0110111 => [1,2,1,3] => 262
[4,1,6,3,8,7,5,2] => 1010111 => [1,1,1,1,3] => 450
[1,4,6,3,8,7,5,2] => 0010111 => [2,1,1,3] => 262
[4,1,6,8,3,7,5,2] => 1001011 => [1,2,1,1,2] => 603
[4,6,1,8,3,7,5,2] => 0101011 => [1,1,1,1,1,2] => 1023
[4,6,8,1,3,7,5,2] => 0010011 => [2,1,2,2] => 363
[6,2,8,5,7,3,1,4] => 1010110 => [1,1,1,1,2,1] => 1023
[6,2,8,5,7,1,3,4] => 1010100 => [1,1,1,1,1,2] => 1023
[2,4,8,7,1,5,3,6] => 0011010 => [2,2,1,1,1] => 582
[4,2,8,7,5,3,1,6] => 1011110 => [1,1,4,1] => 148
[6,4,1,8,7,5,3,2] => 1101111 => [2,1,4] => 85
[6,1,4,8,7,5,3,2] => 1001111 => [1,2,4] => 85
[1,6,4,8,7,3,5,2] => 0101101 => [1,1,1,2,1,1] => 1006
[6,4,1,8,7,3,5,2] => 1101101 => [2,1,2,1,1] => 594
[4,2,8,7,5,1,3,6] => 1011100 => [1,1,3,2] => 265
[2,4,8,7,3,5,1,6] => 0011010 => [2,2,1,1,1] => 582
[2,3,4,5,6,8,9,7,1] => 00000011 => [6,2] => 28
[2,3,4,7,1,8,6,5] => 0001011 => [3,1,1,2] => 259
[2,3,4,5,7,8,9,6,1] => 00000011 => [6,2] => 28
[2,3,5,6,7,8,9,4,1] => 00000011 => [6,2] => 28
[2,4,5,6,7,8,9,3,1] => 00000011 => [6,2] => 28
[2,3,4,7,8,5,6,1] => 0000101 => [4,1,1,1] => 145
[2,3,4,5,8,1,9,7,6] => 00001011 => [4,1,1,2] => 526
[2,3,6,7,4,8,5,1] => 0001011 => [3,1,1,2] => 259
[2,3,4,7,1,8,9,6,5] => 00010011 => [3,1,2,2] => 936
[2,5,6,3,7,8,1,4] => 0010010 => [2,1,2,1,1] => 594
[2,3,7,1,4,8,6,5] => 0010011 => [2,1,2,2] => 363
[2,3,6,1,7,8,9,4,5] => 00100010 => [2,1,3,1,1] => 1580
[2,6,1,3,7,8,5,4] => 0100011 => [1,1,3,2] => 265
[2,5,1,6,7,8,9,4,3] => 01000011 => [1,1,4,2] => 538
[4,1,5,6,7,8,9,3,2] => 10000011 => [1,5,2] => 138
[2,3,4,5,8,9,6,7,1] => 00000101 => [5,1,1,1] => 240
[2,3,4,7,8,5,9,6,1] => 00001011 => [4,1,1,2] => 526
[2,5,6,7,4,8,1,3] => 0001010 => [3,1,1,1,1] => 427
[2,3,6,7,4,8,9,1,5] => 00010010 => [3,1,2,1,1] => 1560
[2,3,4,8,1,5,9,7,6] => 00010011 => [3,1,2,2] => 936
[2,5,6,3,7,8,9,4,1] => 00100011 => [2,1,3,2] => 946
[2,3,7,8,4,5,6,1] => 0001001 => [3,1,2,1] => 259
[2,3,7,1,4,8,9,6,5] => 00100011 => [2,1,3,2] => 946
[4,5,2,6,7,8,9,3,1] => 01000011 => [1,1,4,2] => 538
[2,6,7,3,4,8,5,1] => 0010011 => [2,1,2,2] => 363
[2,6,1,3,7,8,9,4,5] => 01000010 => [1,1,4,1,1] => 912
[5,1,2,6,7,8,9,4,3] => 10000011 => [1,5,2] => 138
[1,5,3,2,6,4,7,8] => 0110100 => [1,2,1,1,2] => 603
[1,5,3,2,6,7,4,8] => 0110010 => [1,2,2,1,1] => 594
[1,7,3,2,8,5,4,6] => 0110110 => [1,2,1,2,1] => 603
[1,7,3,2,5,8,4,6] => 0110010 => [1,2,2,1,1] => 594
[1,3,2,7,5,4,8,6] => 0101101 => [1,1,1,2,1,1] => 1006
[6,5,2,4,3,7,1,8] => 1101010 => [2,1,1,1,1,1] => 969
[6,4,2,5,3,7,1,8] => 1101010 => [2,1,1,1,1,1] => 969
[5,4,7,6,2,3,1,8] => 1011010 => [1,1,2,1,1,1] => 984
[3,6,4,8,2,1,5,7] => 0101100 => [1,1,1,2,2] => 622
[1,6,2,8,5,3,4,7] => 0101100 => [1,1,1,2,2] => 622
[4,6,2,3,7,5,1,8] => 0100110 => [1,1,2,2,1] => 611
[4,7,2,3,6,5,1,8] => 0100110 => [1,1,2,2,1] => 611
[4,7,2,3,5,6,1,8] => 0100010 => [1,1,3,1,1] => 439
[5,3,2,7,4,6,1,8] => 1101010 => [2,1,1,1,1,1] => 969
[5,3,2,6,4,7,1,8] => 1101010 => [2,1,1,1,1,1] => 969
[4,6,2,3,5,7,1,8] => 0100010 => [1,1,3,1,1] => 439
[3,5,2,1,6,8,4,7] => 0110010 => [1,2,2,1,1] => 594
[1,5,2,6,8,4,3,7] => 0100110 => [1,1,2,2,1] => 611
[1,5,7,2,8,4,3,6] => 0010110 => [2,1,1,2,1] => 603
[3,5,2,1,8,6,4,7] => 0110110 => [1,2,1,2,1] => 603
[3,6,8,4,2,1,5,7] => 0011100 => [2,3,2] => 153
[4,3,2,6,1,8,5,7] => 1101010 => [2,1,1,1,1,1] => 969
[1,5,8,2,7,4,3,6] => 0010110 => [2,1,1,2,1] => 603
[1,7,2,3,4,8,6,5] => 0100011 => [1,1,3,2] => 265
[6,8,2,3,4,1,7,5] => 0100101 => [1,1,2,1,1,1] => 984
[4,1,8,2,3,5,7,6] => 1010001 => [1,1,1,3,1] => 450
[2,3,1,8,4,5,7,6] => 0101001 => [1,1,1,1,2,1] => 1023
[7,3,2,1,4,5,8,6] => 1110001 => [3,3,1] => 110
[7,8,1,4,3,5,2,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[7,1,2,3,4,6,8,5] => 1000001 => [1,5,1] => 37
[6,1,2,3,4,8,7,5] => 1000011 => [1,4,2] => 85
[1,8,2,3,4,7,6,5] => 0100011 => [1,1,3,2] => 265
[8,1,2,3,4,6,7,5] => 1000001 => [1,5,1] => 37
[2,8,1,3,5,4,7,6] => 0100101 => [1,1,2,1,1,1] => 984
[8,7,1,4,3,5,2,6] => 1101010 => [2,1,1,1,1,1] => 969
[8,3,2,1,4,5,7,6] => 1110001 => [3,3,1] => 110
[3,8,2,1,5,6,4,7] => 0110010 => [1,2,2,1,1] => 594
[3,8,2,1,6,5,4,7] => 0110110 => [1,2,1,2,1] => 603
[1,7,8,3,5,4,2,6] => 0010110 => [2,1,1,2,1] => 603
[7,4,1,8,3,5,2,6] => 1101010 => [2,1,1,1,1,1] => 969
[8,4,1,7,3,5,2,6] => 1101010 => [2,1,1,1,1,1] => 969
[3,8,4,6,2,1,5,7] => 0101100 => [1,1,1,2,2] => 622
[8,4,2,5,3,1,6,7] => 1101100 => [2,1,2,2] => 363
[8,5,2,4,3,1,6,7] => 1101100 => [2,1,2,2] => 363
[8,3,2,5,4,1,6,7] => 1101100 => [2,1,2,2] => 363
[4,3,2,5,1,8,6,7] => 1101010 => [2,1,1,1,1,1] => 969
[3,5,2,4,1,8,6,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,4,7,8,1,5,3,6] => 0001010 => [3,1,1,1,1] => 427
[1,8,7,3,5,4,2,6] => 0110110 => [1,2,1,2,1] => 603
[5,1,8,2,7,4,3,6] => 1010110 => [1,1,1,1,2,1] => 1023
[5,1,7,2,8,4,3,6] => 1010110 => [1,1,1,1,2,1] => 1023
[6,1,2,8,5,3,4,7] => 1001100 => [1,2,2,2] => 363
[6,3,2,1,8,4,5,7] => 1110100 => [3,1,1,2] => 259
[7,3,2,8,4,5,1,6] => 1101010 => [2,1,1,1,1,1] => 969
[2,7,8,4,3,5,1,6] => 0011010 => [2,2,1,1,1] => 582
[7,1,8,3,5,4,2,6] => 1010110 => [1,1,1,1,2,1] => 1023
[7,8,2,3,4,6,1,5] => 0100010 => [1,1,3,1,1] => 439
[6,7,1,3,4,8,2,5] => 0100010 => [1,1,3,1,1] => 439
[6,8,1,3,4,7,2,5] => 0100010 => [1,1,3,1,1] => 439
[1,7,2,3,4,6,8,5] => 0100001 => [1,1,4,1] => 148
[1,6,2,3,4,8,7,5] => 0100011 => [1,1,3,2] => 265
[7,6,2,3,4,1,8,5] => 1100101 => [2,2,1,1,1] => 582
[8,6,2,3,4,1,7,5] => 1100101 => [2,2,1,1,1] => 582
[8,1,7,3,5,4,2,6] => 1010110 => [1,1,1,1,2,1] => 1023
[8,3,2,7,4,5,1,6] => 1101010 => [2,1,1,1,1,1] => 969
[6,7,2,3,4,1,8,5] => 0100101 => [1,1,2,1,1,1] => 984
[7,6,2,3,4,8,1,5] => 1100010 => [2,3,1,1] => 256
[8,6,2,3,4,7,1,5] => 1100010 => [2,3,1,1] => 256
[6,3,4,8,7,5,1,2] => 1001110 => [1,2,3,1] => 262
[4,8,7,3,5,6,1,2] => 0110010 => [1,2,2,1,1] => 594
[4,8,7,5,3,6,1,2] => 0111010 => [1,3,1,1,1] => 427
[5,8,7,3,4,6,1,2] => 0110010 => [1,2,2,1,1] => 594
[5,8,4,2,1,6,7,3] => 0111001 => [1,3,2,1] => 259
[5,8,4,1,2,6,7,3] => 0110001 => [1,2,3,1] => 262
[5,3,7,2,6,1,8,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,2,8,1,6,3,7,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,8,2,1,4,7,6,3] => 0110011 => [1,2,2,2] => 363
[4,8,2,5,1,7,6,3] => 0101011 => [1,1,1,1,1,2] => 1023
[7,8,4,1,2,6,5,3] => 0110011 => [1,2,2,2] => 363
[4,8,1,5,2,7,6,3] => 0101011 => [1,1,1,1,1,2] => 1023
[5,8,1,2,4,7,6,3] => 0100011 => [1,1,3,2] => 265
[5,2,8,3,6,7,1,4] => 1010010 => [1,1,1,2,1,1] => 1006
[3,8,7,6,2,4,1,5] => 0111010 => [1,3,1,1,1] => 427
[2,8,7,6,4,1,3,5] => 0111100 => [1,4,2] => 85
[7,8,2,6,5,1,3,4] => 0101100 => [1,1,1,2,2] => 622
[1,8,7,6,4,2,3,5] => 0111100 => [1,4,2] => 85
[2,8,7,6,3,1,4,5] => 0111100 => [1,4,2] => 85
[1,8,7,6,2,4,3,5] => 0111010 => [1,3,1,1,1] => 427
[1,8,7,6,3,4,2,5] => 0111010 => [1,3,1,1,1] => 427
[2,8,1,4,5,6,7,3] => 0100001 => [1,1,4,1] => 148
[2,1,7,3,6,5,8,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[3,1,7,2,6,5,8,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[3,2,7,1,6,5,8,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,1,2,8,5,7,3,4] => 1001010 => [1,2,1,1,1,1] => 969
[6,2,1,8,5,7,3,4] => 1101010 => [2,1,1,1,1,1] => 969
[6,3,1,8,5,7,2,4] => 1101010 => [2,1,1,1,1,1] => 969
[6,4,2,1,7,5,8,3] => 1110101 => [3,1,1,1,1] => 427
[6,1,3,8,5,2,7,4] => 1001101 => [1,2,2,1,1] => 594
[2,3,7,1,6,8,5,4] => 0010011 => [2,1,2,2] => 363
[1,3,7,2,6,8,5,4] => 0010011 => [2,1,2,2] => 363
[7,8,2,6,5,3,1,4] => 0101110 => [1,1,1,3,1] => 450
[3,2,6,7,5,8,1,4] => 1001010 => [1,2,1,1,1,1] => 969
[1,2,7,5,6,3,8,4] => 0010101 => [2,1,1,1,1,1] => 969
[2,8,7,6,4,3,1,5] => 0111110 => [1,5,1] => 37
[3,8,7,6,1,2,5,4] => 0111001 => [1,3,2,1] => 259
[3,8,7,6,2,1,5,4] => 0111101 => [1,4,1,1] => 145
[4,8,7,6,2,1,3,5] => 0111100 => [1,4,2] => 85
[4,8,7,6,1,3,2,5] => 0111010 => [1,3,1,1,1] => 427
[3,8,7,6,4,1,2,5] => 0111100 => [1,4,2] => 85
[7,8,3,6,5,1,2,4] => 0101100 => [1,1,1,2,2] => 622
[2,3,7,5,6,8,1,4] => 0010010 => [2,1,2,1,1] => 594
[3,8,7,6,4,2,1,5] => 0111110 => [1,5,1] => 37
[5,1,4,6,8,2,3,7] => 1000100 => [1,3,1,2] => 259
[1,7,6,3,5,4,8,2] => 0110101 => [1,2,1,1,1,1] => 969
[4,3,7,2,6,5,1,8] => 1010110 => [1,1,1,1,2,1] => 1023
[3,4,6,1,5,7,2,8] => 0010010 => [2,1,2,1,1] => 594
[1,6,8,5,7,3,4,2] => 0010101 => [2,1,1,1,1,1] => 969
[2,4,1,5,8,6,3,7] => 0100110 => [1,1,2,2,1] => 611
[4,6,1,2,5,8,3,7] => 0100010 => [1,1,3,1,1] => 439
[5,6,7,2,1,4,8,3] => 0011001 => [2,2,2,1] => 357
[7,8,6,5,1,2,4,3] => 0111001 => [1,3,2,1] => 259
[1,3,6,5,7,8,2,4] => 0010010 => [2,1,2,1,1] => 594
[7,4,8,5,3,1,6,2] => 1011101 => [1,1,3,1,1] => 439
[6,8,5,2,4,1,7,3] => 0110101 => [1,2,1,1,1,1] => 969
[2,3,1,6,8,5,7,4] => 0100101 => [1,1,2,1,1,1] => 984
[7,3,2,5,1,4,8,6] => 1101001 => [2,1,1,2,1] => 603
[7,1,4,2,3,6,8,5] => 1010001 => [1,1,1,3,1] => 450
[1,5,8,3,4,6,7,2] => 0010001 => [2,1,3,1] => 262
[8,3,1,2,4,7,6,5] => 1100011 => [2,3,2] => 153
[2,3,8,1,6,5,4,7] => 0010110 => [2,1,1,2,1] => 603
[8,1,4,7,2,5,3,6] => 1001010 => [1,2,1,1,1,1] => 969
[3,5,2,4,1,7,8,6] => 0101001 => [1,1,1,1,2,1] => 1023
[3,4,7,8,6,2,1,5] => 0001110 => [3,3,1] => 110
[3,4,8,6,2,7,1,5] => 0011010 => [2,2,1,1,1] => 582
[5,8,2,1,6,7,3,4] => 0110010 => [1,2,2,1,1] => 594
[5,7,2,8,6,4,3,1] => 0101111 => [1,1,1,4] => 148
[6,1,2,7,5,3,8,4] => 1001101 => [1,2,2,1,1] => 594
[7,3,2,8,6,4,1,5] => 1101110 => [2,1,3,1] => 262
[2,7,8,4,6,3,1,5] => 0010110 => [2,1,1,2,1] => 603
[1,4,5,7,2,6,8,3] => 0001001 => [3,1,2,1] => 259
[7,3,5,2,6,1,8,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,5,2,3,6,1,7,4] => 1100101 => [2,2,1,1,1] => 582
[8,1,6,3,5,7,2,4] => 1010010 => [1,1,1,2,1,1] => 1006
[2,8,6,4,3,7,1,5] => 0111010 => [1,3,1,1,1] => 427
[8,3,2,6,4,7,1,5] => 1101010 => [2,1,1,1,1,1] => 969
[2,3,8,7,6,5,1,4] => 0011110 => [2,4,1] => 85
[1,2,8,7,3,6,5,4] => 0011011 => [2,2,1,2] => 357
[4,2,8,7,3,6,1,5] => 1011010 => [1,1,2,1,1,1] => 984
[4,5,8,7,1,2,6,3] => 0011001 => [2,2,2,1] => 357
[1,5,8,7,3,2,6,4] => 0011101 => [2,3,1,1] => 256
[4,5,8,7,3,2,1,6] => 0011110 => [2,4,1] => 85
[2,6,8,1,7,5,4,3] => 0010111 => [2,1,1,3] => 262
[3,6,8,4,7,2,1,5] => 0010110 => [2,1,1,2,1] => 603
[2,5,8,3,7,6,1,4] => 0010110 => [2,1,1,2,1] => 603
[3,2,8,4,7,6,1,5] => 1010110 => [1,1,1,1,2,1] => 1023
[1,5,8,3,7,2,6,4] => 0010101 => [2,1,1,1,1,1] => 969
[3,5,8,4,7,2,1,6] => 0010110 => [2,1,1,2,1] => 603
[5,6,8,2,3,7,1,4] => 0010010 => [2,1,2,1,1] => 594
[1,6,8,4,2,7,5,3] => 0011011 => [2,2,1,2] => 357
[1,5,8,4,2,7,6,3] => 0011011 => [2,2,1,2] => 357
[1,5,8,2,3,7,6,4] => 0010011 => [2,1,2,2] => 363
[2,1,8,4,3,7,6,5] => 1011011 => [1,1,2,1,2] => 611
[2,5,8,4,3,7,1,6] => 0011010 => [2,2,1,1,1] => 582
[5,6,8,4,1,2,7,3] => 0011001 => [2,2,2,1] => 357
[5,6,8,1,3,2,7,4] => 0010101 => [2,1,1,1,1,1] => 969
[1,6,8,4,3,2,7,5] => 0011101 => [2,3,1,1] => 256
[5,6,8,4,3,2,1,7] => 0011110 => [2,4,1] => 85
[7,1,2,8,6,5,4,3] => 1001111 => [1,2,4] => 85
[7,1,4,8,6,2,5,3] => 1001101 => [1,2,2,1,1] => 594
[7,3,1,8,6,2,5,4] => 1101101 => [2,1,2,1,1] => 594
[7,2,4,8,3,6,1,5] => 1001010 => [1,2,1,1,1,1] => 969
[7,1,4,8,3,2,6,5] => 1001101 => [1,2,2,1,1] => 594
[7,4,5,8,3,2,1,6] => 1001110 => [1,2,3,1] => 262
[1,6,2,8,7,5,4,3] => 0101111 => [1,1,1,4] => 148
[1,6,4,8,7,2,5,3] => 0101101 => [1,1,1,2,1,1] => 1006
[3,6,4,8,7,2,1,5] => 0101110 => [1,1,1,3,1] => 450
[3,2,5,8,7,6,1,4] => 1001110 => [1,2,3,1] => 262
[3,2,4,8,7,6,1,5] => 1001110 => [1,2,3,1] => 262
[3,1,5,8,7,2,6,4] => 1001101 => [1,2,2,1,1] => 594
[3,1,4,8,7,2,6,5] => 1001101 => [1,2,2,1,1] => 594
[1,6,4,8,2,7,5,3] => 0101011 => [1,1,1,1,1,2] => 1023
[1,4,5,8,2,7,6,3] => 0001011 => [3,1,1,2] => 259
[2,4,5,8,3,7,1,6] => 0001010 => [3,1,1,1,1] => 427
[4,6,5,8,1,2,7,3] => 0101001 => [1,1,1,1,2,1] => 1023
[1,6,4,8,3,2,7,5] => 0101101 => [1,1,1,2,1,1] => 1006
[1,4,5,8,3,2,7,6] => 0001101 => [3,2,1,1] => 256
[7,6,1,4,8,2,5,3] => 1100101 => [2,2,1,1,1] => 582
[7,6,1,3,8,2,5,4] => 1100101 => [2,2,1,1,1] => 582
[7,6,3,4,8,2,1,5] => 1100110 => [2,2,2,1] => 357
[7,2,5,1,8,6,4,3] => 1010111 => [1,1,1,1,3] => 450
[7,2,5,3,8,6,1,4] => 1010110 => [1,1,1,1,2,1] => 1023
[7,2,1,4,8,6,5,3] => 1100111 => [2,2,3] => 153
[7,2,1,3,8,6,5,4] => 1100111 => [2,2,3] => 153
[7,2,3,4,8,6,1,5] => 1000110 => [1,3,2,1] => 259
[7,3,5,4,8,2,1,6] => 1010110 => [1,1,1,1,2,1] => 1023
[2,6,5,1,8,7,4,3] => 0110111 => [1,2,1,3] => 262
[2,3,5,4,8,7,1,6] => 0010110 => [2,1,1,2,1] => 603
[1,6,5,4,8,2,7,3] => 0110101 => [1,2,1,1,1,1] => 969
[1,6,5,3,8,2,7,4] => 0110101 => [1,2,1,1,1,1] => 969
[1,6,3,4,8,2,7,5] => 0100101 => [1,1,2,1,1,1] => 984
[1,3,5,4,8,2,7,6] => 0010101 => [2,1,1,1,1,1] => 969
[3,6,5,4,8,2,1,7] => 0110110 => [1,2,1,2,1] => 603
[7,6,5,2,3,8,1,4] => 1110010 => [3,2,1,1] => 256
[7,6,1,4,2,8,5,3] => 1101011 => [2,1,1,1,2] => 603
[7,6,1,2,3,8,5,4] => 1100011 => [2,3,2] => 153
[7,6,2,4,3,8,1,5] => 1101010 => [2,1,1,1,1,1] => 969
[7,1,5,4,2,8,6,3] => 1011011 => [1,1,2,1,2] => 611
[7,1,5,2,3,8,6,4] => 1010011 => [1,1,1,2,2] => 622
[7,1,2,4,3,8,6,5] => 1001011 => [1,2,1,1,2] => 603
[2,6,5,4,3,8,1,7] => 0111010 => [1,3,1,1,1] => 427
[7,6,1,4,3,2,8,5] => 1101101 => [2,1,2,1,1] => 594
[7,1,5,4,3,2,8,6] => 1011101 => [1,1,3,1,1] => 439
[3,4,2,6,7,8,1,5] => 0100010 => [1,1,3,1,1] => 439
[3,1,4,2,6,8,7,5] => 1010011 => [1,1,1,2,2] => 622
[8,3,4,2,6,1,7,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[2,6,7,3,5,4,1,8] => 0010110 => [2,1,1,2,1] => 603
[2,7,8,3,5,4,1,6] => 0010110 => [2,1,1,2,1] => 603
[2,6,8,3,5,4,1,7] => 0010110 => [2,1,1,2,1] => 603
[4,7,1,2,8,5,3,6] => 0100110 => [1,1,2,2,1] => 611
[4,8,1,2,7,5,3,6] => 0100110 => [1,1,2,2,1] => 611
[2,1,6,3,7,5,4,8] => 1010110 => [1,1,1,1,2,1] => 1023
[2,7,1,3,6,8,4,5] => 0100010 => [1,1,3,1,1] => 439
[6,7,3,2,8,1,4,5] => 0110100 => [1,2,1,1,2] => 603
[7,3,4,2,6,1,8,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,4,1,2,8,5,3,6] => 1100110 => [2,2,2,1] => 357
[8,7,4,2,1,5,3,6] => 1111010 => [4,1,1,1] => 145
[7,4,1,2,6,5,3,8] => 1100110 => [2,2,2,1] => 357
[7,4,3,1,5,6,8,2] => 1110001 => [3,3,1] => 110
[6,7,4,1,5,8,3,2] => 0110011 => [1,2,2,2] => 363
[4,7,5,1,6,8,3,2] => 0110011 => [1,2,2,2] => 363
[4,5,3,1,7,6,8,2] => 0110101 => [1,2,1,1,1,1] => 969
[4,6,1,2,7,5,3,8] => 0100110 => [1,1,2,2,1] => 611
[2,7,1,3,6,5,4,8] => 0100110 => [1,1,2,2,1] => 611
[4,1,8,2,6,5,3,7] => 1010110 => [1,1,1,1,2,1] => 1023
[4,6,1,2,8,5,3,7] => 0100110 => [1,1,2,2,1] => 611
[8,4,3,1,5,6,7,2] => 1110001 => [3,3,1] => 110
[4,5,3,1,8,6,7,2] => 0110101 => [1,2,1,1,1,1] => 969
[4,8,5,6,3,1,7,2] => 0101101 => [1,1,1,2,1,1] => 1006
[5,1,3,4,8,6,7,2] => 1000101 => [1,3,1,1,1] => 427
[5,4,3,8,1,6,7,2] => 1101001 => [2,1,1,2,1] => 603
[8,5,3,4,1,6,7,2] => 1101001 => [2,1,1,2,1] => 603
[6,4,8,2,1,5,3,7] => 1011010 => [1,1,2,1,1,1] => 984
[6,7,3,2,5,1,4,8] => 0110100 => [1,2,1,1,2] => 603
[6,8,3,2,5,1,4,7] => 0110100 => [1,2,1,1,2] => 603
[5,7,1,4,6,8,3,2] => 0100011 => [1,1,3,2] => 265
[5,1,3,4,7,6,8,2] => 1000101 => [1,3,1,1,1] => 427
[6,1,4,2,7,5,3,8] => 1010110 => [1,1,1,1,2,1] => 1023
[5,4,3,7,1,6,8,2] => 1101001 => [2,1,1,2,1] => 603
[6,7,5,4,1,8,3,2] => 0111011 => [1,3,1,2] => 259
[7,6,4,2,1,5,3,8] => 1111010 => [4,1,1,1] => 145
[8,2,7,6,5,4,1,3] => 1011110 => [1,1,4,1] => 148
[7,2,8,6,5,4,3,1] => 1011111 => [1,1,5] => 37
[8,1,9,7,6,5,4,3,2] => 10111111 => [1,1,6] => 50
[9,2,8,7,6,5,4,1,3] => 10111110 => [1,1,5,1] => 244
[3,9,8,7,6,5,4,1,2] => 01111110 => [1,6,1] => 50
[8,7,2,6,5,4,1,3] => 1101110 => [2,1,3,1] => 262
[3,2,8,7,6,5,1,4] => 1011110 => [1,1,4,1] => 148
[4,8,7,6,5,3,1,2] => 0111110 => [1,5,1] => 37
[7,8,6,1,5,4,3,2] => 0110111 => [1,2,1,3] => 262
[8,9,1,7,6,5,4,3,2] => 01011111 => [1,1,1,5] => 244
[7,3,8,6,5,4,2,1] => 1011111 => [1,1,5] => 37
[8,2,9,7,6,5,4,3,1] => 10111111 => [1,1,6] => 50
[4,8,5,7,6,3,2,1] => 0101111 => [1,1,1,4] => 148
[3,8,7,4,6,5,2,1] => 0110111 => [1,2,1,3] => 262
[2,8,7,6,3,5,4,1] => 0111011 => [1,3,1,2] => 259
[8,5,6,1,3,2,4,7] => 1010100 => [1,1,1,1,1,2] => 1023
[8,6,1,5,3,2,4,7] => 1101100 => [2,1,2,2] => 363
[7,8,1,5,3,2,4,6] => 0101100 => [1,1,1,2,2] => 622
[8,1,7,5,3,2,4,6] => 1011100 => [1,1,3,2] => 265
[8,6,1,4,5,2,3,7] => 1100100 => [2,2,1,2] => 357
[8,6,3,1,5,2,4,7] => 1110100 => [3,1,1,2] => 259
[8,4,6,1,5,2,3,7] => 1010100 => [1,1,1,1,1,2] => 1023
[8,6,2,1,5,4,3,7] => 1110110 => [3,1,2,1] => 259
[8,5,2,6,1,4,3,7] => 1101010 => [2,1,1,1,1,1] => 969
[8,5,2,1,7,4,3,6] => 1110110 => [3,1,2,1] => 259
[7,8,2,1,5,4,3,6] => 0110110 => [1,2,1,2,1] => 603
[7,8,3,1,5,2,4,6] => 0110100 => [1,2,1,1,2] => 603
[8,2,7,5,1,3,4,6] => 1011000 => [1,1,2,3] => 265
[8,4,1,7,5,2,3,6] => 1101100 => [2,1,2,2] => 363
[8,2,7,1,5,4,3,6] => 1010110 => [1,1,1,1,2,1] => 1023
[8,2,6,1,7,4,3,5] => 1010110 => [1,1,1,1,2,1] => 1023
[8,1,7,4,3,2,6,5] => 1011101 => [1,1,3,1,1] => 439
[8,1,5,7,3,2,6,4] => 1001101 => [1,2,2,1,1] => 594
[5,7,8,1,3,2,6,4] => 0010101 => [2,1,1,1,1,1] => 969
[8,2,6,1,5,7,3,4] => 1010010 => [1,1,1,2,1,1] => 1006
[5,8,1,6,7,2,3,4] => 0100100 => [1,1,2,1,2] => 611
[5,7,6,1,8,2,3,4] => 0110100 => [1,2,1,1,2] => 603
[6,7,2,5,1,8,3,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[7,5,1,6,8,2,3,4] => 1100100 => [2,2,1,2] => 357
[6,5,7,1,8,2,3,4] => 1010100 => [1,1,1,1,1,2] => 1023
[6,7,3,8,1,2,4,5] => 0101000 => [1,1,1,1,3] => 450
[7,5,4,1,8,2,3,6] => 1110100 => [3,1,1,2] => 259
[7,6,1,4,8,2,3,5] => 1100100 => [2,2,1,2] => 357
[8,1,6,4,7,2,3,5] => 1010100 => [1,1,1,1,1,2] => 1023
[7,5,8,1,3,2,4,6] => 1010100 => [1,1,1,1,1,2] => 1023
[7,8,4,1,3,2,5,6] => 0110100 => [1,2,1,1,2] => 603
[8,3,7,4,1,2,5,6] => 1011000 => [1,1,2,3] => 265
[8,5,1,7,3,2,4,6] => 1101100 => [2,1,2,2] => 363
[6,8,1,7,3,2,4,5] => 0101100 => [1,1,1,2,2] => 622
[7,1,8,4,3,6,2,5] => 1011010 => [1,1,2,1,1,1] => 984
[7,3,1,8,6,4,2,5] => 1101110 => [2,1,3,1] => 262
[8,3,1,7,4,6,2,5] => 1101010 => [2,1,1,1,1,1] => 969
[8,4,5,1,7,2,3,6] => 1010100 => [1,1,1,1,1,2] => 1023
[5,6,8,1,7,2,3,4] => 0010100 => [2,1,1,1,2] => 603
[6,5,8,1,2,7,3,4] => 1010010 => [1,1,1,2,1,1] => 1006
[7,3,1,8,5,6,2,4] => 1101010 => [2,1,1,1,1,1] => 969
[6,2,7,8,3,1,5,4] => 1001101 => [1,2,2,1,1] => 594
[5,8,1,7,3,2,6,4] => 0101101 => [1,1,1,2,1,1] => 1006
[8,4,1,7,3,2,6,5] => 1101101 => [2,1,2,1,1] => 594
[8,3,4,7,1,2,6,5] => 1001001 => [1,2,1,2,1] => 603
[8,2,7,4,1,3,6,5] => 1011001 => [1,1,2,2,1] => 611
[7,4,8,2,1,3,6,5] => 1011001 => [1,1,2,2,1] => 611
[7,4,3,8,1,2,6,5] => 1101001 => [2,1,1,2,1] => 603
[8,2,3,6,7,1,5,4] => 1000101 => [1,3,1,1,1] => 427
[2,6,8,7,1,5,4,3] => 0011011 => [2,2,1,2] => 357
[7,8,5,2,3,6,4,1] => 0110011 => [1,2,2,2] => 363
[8,7,5,2,3,1,6,4] => 1110101 => [3,1,1,1,1] => 427
[6,8,5,2,3,4,7,1] => 0110001 => [1,2,3,1] => 262
[3,5,2,6,8,1,4,7] => 0100100 => [1,1,2,1,2] => 611
[3,5,2,4,6,8,1,7] => 0100010 => [1,1,3,1,1] => 439
[2,4,5,7,3,6,8,1] => 0001001 => [3,1,2,1] => 259
[2,4,5,3,6,8,1,7] => 0010010 => [2,1,2,1,1] => 594
[5,2,4,6,8,1,3,7] => 1000100 => [1,3,1,2] => 259
[5,1,3,4,6,8,2,7] => 1000010 => [1,4,1,1] => 145
[4,3,5,2,6,8,1,7] => 1010010 => [1,1,1,2,1,1] => 1006
[4,3,5,7,2,8,1,6] => 1001010 => [1,2,1,1,1,1] => 969
[4,3,5,7,2,6,8,1] => 1001001 => [1,2,1,2,1] => 603
[4,6,3,7,2,5,8,1] => 0101001 => [1,1,1,1,2,1] => 1023
[4,6,3,1,7,8,2,5] => 0110010 => [1,2,2,1,1] => 594
[4,3,5,1,7,8,2,6] => 1010010 => [1,1,1,2,1,1] => 1006
[5,7,1,3,4,8,2,6] => 0100010 => [1,1,3,1,1] => 439
[5,7,1,3,4,6,8,2] => 0100001 => [1,1,4,1] => 148
[4,5,7,1,3,6,8,2] => 0010001 => [2,1,3,1] => 262
[4,3,6,7,1,5,8,2] => 1001001 => [1,2,1,2,1] => 603
[4,6,3,5,1,7,8,2] => 0101001 => [1,1,1,1,2,1] => 1023
[4,6,3,5,7,2,8,1] => 0100101 => [1,1,2,1,1,1] => 984
[3,5,6,4,1,7,8,2] => 0011001 => [2,2,2,1] => 357
[3,1,5,6,7,4,8,2] => 1000101 => [1,3,1,1,1] => 427
[5,1,6,7,3,4,8,2] => 1001001 => [1,2,1,2,1] => 603
[6,4,7,1,3,5,8,2] => 1010001 => [1,1,1,3,1] => 450
[1,6,7,3,4,5,8,2] => 0010001 => [2,1,3,1] => 262
[2,6,7,4,5,8,1,3] => 0010010 => [2,1,2,1,1] => 594
[2,6,7,4,8,1,3,5] => 0010100 => [2,1,1,1,2] => 603
[5,3,6,1,2,7,8,4] => 1010001 => [1,1,1,3,1] => 450
[3,5,2,6,1,7,8,4] => 0101001 => [1,1,1,1,2,1] => 1023
[3,5,2,6,7,4,8,1] => 0100101 => [1,1,2,1,1,1] => 984
[5,2,3,6,7,4,8,1] => 1000101 => [1,3,1,1,1] => 427
[5,2,3,6,1,7,8,4] => 1001001 => [1,2,1,2,1] => 603
[5,2,6,1,3,7,8,4] => 1010001 => [1,1,1,3,1] => 450
[4,2,6,7,3,5,8,1] => 1001001 => [1,2,1,2,1] => 603
[6,3,7,2,4,5,8,1] => 1010001 => [1,1,1,3,1] => 450
[3,5,7,2,8,1,4,6] => 0010100 => [2,1,1,1,2] => 603
[3,7,2,4,8,1,5,6] => 0100100 => [1,1,2,1,2] => 611
[7,2,4,6,8,1,3,5] => 1000100 => [1,3,1,2] => 259
[7,1,3,4,6,8,2,5] => 1000010 => [1,4,1,1] => 145
[3,7,2,4,6,8,1,5] => 0100010 => [1,1,3,1,1] => 439
[3,5,7,2,6,8,1,4] => 0010010 => [2,1,2,1,1] => 594
[6,3,7,2,5,8,1,4] => 1010010 => [1,1,1,2,1,1] => 1006
[6,3,5,7,2,8,1,4] => 1001010 => [1,2,1,1,1,1] => 969
[6,3,5,7,2,4,8,1] => 1001001 => [1,2,1,2,1] => 603
[6,2,4,5,7,3,8,1] => 1000101 => [1,3,1,1,1] => 427
[6,2,4,5,1,7,8,3] => 1001001 => [1,2,1,2,1] => 603
[4,7,1,2,5,6,8,3] => 0100001 => [1,1,4,1] => 148
[2,6,7,5,8,1,3,4] => 0010100 => [2,1,1,1,2] => 603
[4,6,7,1,2,5,8,3] => 0010001 => [2,1,3,1] => 262
[5,6,2,4,7,3,8,1] => 0100101 => [1,1,2,1,1,1] => 984
[5,4,2,6,7,3,8,1] => 1100101 => [2,2,1,1,1] => 582
[5,4,2,6,1,7,8,3] => 1101001 => [2,1,1,2,1] => 603
[1,5,4,6,2,7,8,3] => 0101001 => [1,1,1,1,2,1] => 1023
[5,6,4,1,2,7,8,3] => 0110001 => [1,2,3,1] => 262
[6,4,5,1,2,7,8,3] => 1010001 => [1,1,1,3,1] => 450
[6,3,5,1,7,8,2,4] => 1010010 => [1,1,1,2,1,1] => 1006
[6,5,7,2,8,1,3,4] => 1010100 => [1,1,1,1,1,2] => 1023
[6,5,7,1,3,4,8,2] => 1010001 => [1,1,1,3,1] => 450
[5,6,4,7,1,3,8,2] => 0101001 => [1,1,1,1,2,1] => 1023
[5,4,6,3,1,7,8,2] => 1011001 => [1,1,2,2,1] => 611
[7,5,3,2,4,8,1,6] => 1110010 => [3,2,1,1] => 256
[8,4,5,2,6,1,3,7] => 1010100 => [1,1,1,1,1,2] => 1023
[8,5,4,2,1,6,3,7] => 1111010 => [4,1,1,1] => 145
[8,5,3,4,1,6,2,7] => 1101010 => [2,1,1,1,1,1] => 969
[8,4,5,3,1,6,2,7] => 1011010 => [1,1,2,1,1,1] => 984
[7,5,4,2,1,8,3,6] => 1111010 => [4,1,1,1] => 145
[7,5,4,2,1,6,8,3] => 1111001 => [4,2,1] => 85
[7,4,5,3,1,6,8,2] => 1011001 => [1,1,2,2,1] => 611
[7,4,3,5,6,1,8,2] => 1100101 => [2,2,1,1,1] => 582
[5,6,3,7,4,1,8,2] => 0101101 => [1,1,1,2,1,1] => 1006
[5,6,7,3,1,4,8,2] => 0011001 => [2,2,2,1] => 357
[6,7,3,4,1,5,8,2] => 0101001 => [1,1,1,1,2,1] => 1023
[6,7,4,2,1,5,8,3] => 0111001 => [1,3,2,1] => 259
[5,6,7,3,1,8,2,4] => 0011010 => [2,2,1,1,1] => 582
[5,6,3,7,8,1,2,4] => 0100100 => [1,1,2,1,2] => 611
[5,6,3,7,2,4,8,1] => 0101001 => [1,1,1,1,2,1] => 1023
[5,6,7,2,3,8,1,4] => 0010010 => [2,1,2,1,1] => 594
[7,4,5,2,8,1,3,6] => 1010100 => [1,1,1,1,1,2] => 1023
[6,7,3,2,4,8,1,5] => 0110010 => [1,2,2,1,1] => 594
[7,6,4,2,1,3,8,5] => 1111001 => [4,2,1] => 85
[7,6,3,4,1,2,8,5] => 1101001 => [2,1,1,2,1] => 603
[7,6,3,2,4,1,8,5] => 1110101 => [3,1,1,1,1] => 427
[6,7,3,2,5,1,8,4] => 0110101 => [1,2,1,1,1,1] => 969
[6,5,3,2,7,8,1,4] => 1110010 => [3,2,1,1] => 256
[6,5,3,2,7,4,8,1] => 1110101 => [3,1,1,1,1] => 427
[6,4,5,2,7,3,8,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,4,5,2,7,8,1,3] => 1010010 => [1,1,1,2,1,1] => 1006
[7,4,5,2,6,1,8,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,4,5,6,1,2,8,3] => 1001001 => [1,2,1,2,1] => 603
[7,5,6,2,1,3,8,4] => 1011001 => [1,1,2,2,1] => 611
[6,7,3,5,1,2,8,4] => 0101001 => [1,1,1,1,2,1] => 1023
[5,6,7,4,1,2,8,3] => 0011001 => [2,2,2,1] => 357
[5,6,7,2,4,1,8,3] => 0010101 => [2,1,1,1,1,1] => 969
[5,6,4,2,7,8,1,3] => 0110010 => [1,2,2,1,1] => 594
[6,5,7,2,1,8,3,4] => 1011010 => [1,1,2,1,1,1] => 984
[6,5,7,2,1,4,8,3] => 1011001 => [1,1,2,2,1] => 611
[5,4,6,7,3,1,8,2] => 1001101 => [1,2,2,1,1] => 594
[5,7,8,3,6,4,1,2] => 0010110 => [2,1,1,2,1] => 603
[3,7,8,5,6,4,1,2] => 0010110 => [2,1,1,2,1] => 603
[3,7,8,5,6,1,4,2] => 0010101 => [2,1,1,1,1,1] => 969
[1,7,8,5,6,3,4,2] => 0010101 => [2,1,1,1,1,1] => 969
[1,7,5,8,6,3,4,2] => 0101101 => [1,1,1,2,1,1] => 1006
[3,7,5,8,6,1,4,2] => 0101101 => [1,1,1,2,1,1] => 1006
[3,7,5,8,6,4,1,2] => 0101110 => [1,1,1,3,1] => 450
[5,7,3,8,6,4,1,2] => 0101110 => [1,1,1,3,1] => 450
[7,3,8,5,6,4,1,2] => 1010110 => [1,1,1,1,2,1] => 1023
[7,3,5,8,6,4,1,2] => 1001110 => [1,2,3,1] => 262
[3,5,7,8,6,4,1,2] => 0001110 => [3,3,1] => 110
[1,5,7,8,6,3,4,2] => 0001101 => [3,2,1,1] => 256
[1,5,7,8,3,6,4,2] => 0001011 => [3,1,1,2] => 259
[3,5,7,8,1,6,4,2] => 0001011 => [3,1,1,2] => 259
[5,3,7,8,1,6,4,2] => 1001011 => [1,2,1,1,2] => 603
[7,3,5,8,6,1,4,2] => 1001101 => [1,2,2,1,1] => 594
[7,3,8,5,6,1,4,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,8,1,5,6,3,4,2] => 0100101 => [1,1,2,1,1,1] => 984
[7,1,8,5,6,3,4,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,1,5,8,6,3,4,2] => 1001101 => [1,2,2,1,1] => 594
[5,1,7,8,3,6,4,2] => 1001011 => [1,2,1,1,2] => 603
[3,1,7,8,5,6,4,2] => 1001011 => [1,2,1,1,2] => 603
[1,3,7,8,5,6,4,2] => 0001011 => [3,1,1,2] => 259
[3,1,7,5,8,6,4,2] => 1010111 => [1,1,1,1,3] => 450
[5,1,7,3,8,6,4,2] => 1010111 => [1,1,1,1,3] => 450
[7,1,5,3,8,6,4,2] => 1010111 => [1,1,1,1,3] => 450
[7,1,5,8,3,6,4,2] => 1001011 => [1,2,1,1,2] => 603
[7,8,1,5,3,6,4,2] => 0101011 => [1,1,1,1,1,2] => 1023
[7,8,3,5,1,6,4,2] => 0101011 => [1,1,1,1,1,2] => 1023
[7,3,5,8,1,6,4,2] => 1001011 => [1,2,1,1,2] => 603
[5,3,7,1,8,6,4,2] => 1010111 => [1,1,1,1,3] => 450
[3,5,7,1,8,6,4,2] => 0010111 => [2,1,1,3] => 262
[1,7,5,3,8,6,4,2] => 0110111 => [1,2,1,3] => 262
[5,7,3,1,8,6,4,2] => 0110111 => [1,2,1,3] => 262
[5,7,3,8,6,1,4,2] => 0101101 => [1,1,1,2,1,1] => 1006
[3,7,5,8,1,6,4,2] => 0101011 => [1,1,1,1,1,2] => 1023
[1,7,5,8,3,6,4,2] => 0101011 => [1,1,1,1,1,2] => 1023
[1,7,8,5,3,6,4,2] => 0011011 => [2,2,1,2] => 357
[3,7,8,5,1,6,4,2] => 0011011 => [2,2,1,2] => 357
[5,7,8,3,6,1,4,2] => 0010101 => [2,1,1,1,1,1] => 969
[5,7,8,6,3,1,4,2] => 0011101 => [2,3,1,1] => 256
[7,5,8,6,1,3,4,2] => 1011001 => [1,1,2,2,1] => 611
[5,7,8,1,6,3,4,2] => 0010101 => [2,1,1,1,1,1] => 969
[5,7,8,1,3,6,4,2] => 0010011 => [2,1,2,2] => 363
[3,7,8,1,5,6,4,2] => 0010011 => [2,1,2,2] => 363
[1,7,8,3,5,6,4,2] => 0010011 => [2,1,2,2] => 363
[1,7,3,8,5,6,4,2] => 0101011 => [1,1,1,1,1,2] => 1023
[3,7,1,8,5,6,4,2] => 0101011 => [1,1,1,1,1,2] => 1023
[5,7,1,8,3,6,4,2] => 0101011 => [1,1,1,1,1,2] => 1023
[5,7,1,8,6,3,4,2] => 0101101 => [1,1,1,2,1,1] => 1006
[7,5,1,8,6,3,4,2] => 1101101 => [2,1,2,1,1] => 594
[7,5,8,1,6,3,4,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,8,5,1,6,3,4,2] => 0110101 => [1,2,1,1,1,1] => 969
[7,8,5,1,3,6,4,2] => 0110011 => [1,2,2,2] => 363
[7,5,8,1,3,6,4,2] => 1010011 => [1,1,1,2,2] => 622
[7,5,1,8,3,6,4,2] => 1101011 => [2,1,1,1,2] => 603
[7,5,1,3,8,6,4,2] => 1100111 => [2,2,3] => 153
[5,7,1,3,8,6,4,2] => 0100111 => [1,1,2,3] => 265
[3,7,1,5,8,6,4,2] => 0100111 => [1,1,2,3] => 265
[1,7,3,5,8,6,4,2] => 0100111 => [1,1,2,3] => 265
[1,5,3,7,8,6,4,2] => 0100111 => [1,1,2,3] => 265
[3,5,1,7,8,6,4,2] => 0100111 => [1,1,2,3] => 265
[5,3,1,7,8,6,4,2] => 1100111 => [2,2,3] => 153
[7,3,1,5,8,6,4,2] => 1100111 => [2,2,3] => 153
[7,3,1,8,5,6,4,2] => 1101011 => [2,1,1,1,2] => 603
[7,3,8,1,5,6,4,2] => 1010011 => [1,1,1,2,2] => 622
[7,8,3,1,5,6,4,2] => 0110011 => [1,2,2,2] => 363
[7,8,1,3,5,6,4,2] => 0100011 => [1,1,3,2] => 265
[7,1,8,3,5,6,4,2] => 1010011 => [1,1,1,2,2] => 622
[7,1,3,8,5,6,4,2] => 1001011 => [1,2,1,1,2] => 603
[7,1,3,5,8,6,4,2] => 1000111 => [1,3,3] => 110
[3,1,5,7,8,6,4,2] => 1000111 => [1,3,3] => 110
[5,7,3,4,6,8,1,2] => 0100010 => [1,1,3,1,1] => 439
[5,7,3,4,8,6,1,2] => 0100110 => [1,1,2,2,1] => 611
[5,7,3,4,8,1,6,2] => 0100101 => [1,1,2,1,1,1] => 984
[5,7,3,4,1,8,6,2] => 0101011 => [1,1,1,1,1,2] => 1023
[5,7,3,4,1,6,8,2] => 0101001 => [1,1,1,1,2,1] => 1023
[5,7,3,4,6,1,2,8] => 0100100 => [1,1,2,1,2] => 611
[7,3,5,6,1,2,8,4] => 1001001 => [1,2,1,2,1] => 603
[5,7,3,1,4,6,2,8] => 0110010 => [1,2,2,1,1] => 594
[5,7,3,1,4,6,8,2] => 0110001 => [1,2,3,1] => 262
[5,7,3,1,4,8,6,2] => 0110011 => [1,2,2,2] => 363
[5,7,3,1,4,8,2,6] => 0110010 => [1,2,2,1,1] => 594
[5,3,7,4,1,2,8,6] => 1011001 => [1,1,2,2,1] => 611
[5,3,7,4,1,2,6,8] => 1011000 => [1,1,2,3] => 265
[5,3,7,1,4,2,6,8] => 1010100 => [1,1,1,1,1,2] => 1023
[5,3,7,1,4,2,8,6] => 1010101 => [1,1,1,1,1,1,1] => 1623
[3,7,5,1,2,8,6,4] => 0110011 => [1,2,2,2] => 363
[7,8,3,5,1,2,6,4] => 0101001 => [1,1,1,1,2,1] => 1023
[7,3,8,5,1,2,6,4] => 1011001 => [1,1,2,2,1] => 611
[7,3,5,8,1,2,6,4] => 1001001 => [1,2,1,2,1] => 603
[3,7,5,1,2,6,4,8] => 0110010 => [1,2,2,1,1] => 594
[3,7,5,1,2,6,8,4] => 0110001 => [1,2,3,1] => 262
[6,1,4,3,5,2,8,7] => 1010101 => [1,1,1,1,1,1,1] => 1623
[2,5,7,3,8,4,1,6] => 0010110 => [2,1,1,2,1] => 603
[5,4,7,8,6,1,3,2] => 1001101 => [1,2,2,1,1] => 594
[7,5,6,2,8,3,1,4] => 1010110 => [1,1,1,1,2,1] => 1023
[4,7,2,5,8,3,1,6] => 0100110 => [1,1,2,2,1] => 611
[6,2,4,5,1,3,8,7] => 1001001 => [1,2,1,2,1] => 603
[5,1,4,6,3,2,8,7] => 1001101 => [1,2,2,1,1] => 594
[3,5,6,2,4,1,8,7] => 0010101 => [2,1,1,1,1,1] => 969
[3,8,6,7,5,4,1,2] => 0101110 => [1,1,1,3,1] => 450
[6,2,7,8,3,4,1,5] => 1001010 => [1,2,1,1,1,1] => 969
[2,5,3,4,8,1,7,6] => 0100101 => [1,1,2,1,1,1] => 984
[8,7,1,2,5,3,4,6] => 1100100 => [2,2,1,2] => 357
[5,1,8,2,3,4,7,6] => 1010001 => [1,1,1,3,1] => 450
[5,4,7,6,2,8,1,3] => 1011010 => [1,1,2,1,1,1] => 984
[3,7,8,1,5,4,6,2] => 0010101 => [2,1,1,1,1,1] => 969
[7,1,3,4,6,8,5,2] => 1000011 => [1,4,2] => 85
[8,3,6,5,7,1,4,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,8,7,1,4,6,2,3] => 0110010 => [1,2,2,1,1] => 594
[4,7,6,1,8,3,5,2] => 0110101 => [1,2,1,1,1,1] => 969
[4,7,2,6,3,8,5,1] => 0101011 => [1,1,1,1,1,2] => 1023
[2,1,8,4,6,7,3,5] => 1010010 => [1,1,1,2,1,1] => 1006
[4,7,8,6,3,1,2,5] => 0011100 => [2,3,2] => 153
[3,8,1,5,6,7,2,4] => 0100010 => [1,1,3,1,1] => 439
[6,7,2,4,8,5,3,1] => 0100111 => [1,1,2,3] => 265
[2,8,3,6,7,5,1,4] => 0100110 => [1,1,2,2,1] => 611
[8,2,1,7,6,3,5,4] => 1101101 => [2,1,2,1,1] => 594
[3,2,4,5,8,1,7,6] => 1000101 => [1,3,1,1,1] => 427
[7,4,6,3,2,1,8,5] => 1011101 => [1,1,3,1,1] => 439
[4,7,3,2,1,8,6,5] => 0111011 => [1,3,1,2] => 259
[6,4,7,5,2,3,8,1] => 1011001 => [1,1,2,2,1] => 611
[6,4,8,1,7,3,2,5] => 1010110 => [1,1,1,1,2,1] => 1023
[4,8,7,2,3,1,5,6] => 0110100 => [1,2,1,1,2] => 603
[4,2,3,1,8,7,5,6] => 1010110 => [1,1,1,1,2,1] => 1023
[7,6,8,1,3,5,2,4] => 1010010 => [1,1,1,2,1,1] => 1006
[6,7,5,2,3,1,8,4] => 0110101 => [1,2,1,1,1,1] => 969
[4,7,2,6,5,1,8,3] => 0101101 => [1,1,1,2,1,1] => 1006
[6,4,2,1,8,5,7,3] => 1110101 => [3,1,1,1,1] => 427
[7,2,1,5,6,8,4,3] => 1100011 => [2,3,2] => 153
[8,7,2,6,4,1,5,3] => 1101101 => [2,1,2,1,1] => 594
[6,7,8,2,5,3,1,4] => 0010110 => [2,1,1,2,1] => 603
[2,1,7,3,6,8,5,4] => 1010011 => [1,1,1,2,2] => 622
[2,1,5,7,8,4,6,3] => 1000101 => [1,3,1,1,1] => 427
[2,5,7,8,3,6,1,4] => 0001010 => [3,1,1,1,1] => 427
[6,4,1,5,7,2,8,3] => 1100101 => [2,2,1,1,1] => 582
[7,4,8,1,2,5,6,3] => 1010001 => [1,1,1,3,1] => 450
[4,2,7,8,6,3,5,1] => 1001101 => [1,2,2,1,1] => 594
[6,1,7,4,3,2,8,5] => 1011101 => [1,1,3,1,1] => 439
[6,8,3,4,2,1,7,5] => 0101101 => [1,1,1,2,1,1] => 1006
[4,2,6,1,5,7,8,3] => 1010001 => [1,1,1,3,1] => 450
[2,4,6,7,3,5,8,1] => 0001001 => [3,1,2,1] => 259
[6,5,8,3,7,4,1,2] => 1010110 => [1,1,1,1,2,1] => 1023
[7,1,4,8,3,5,6,2] => 1001001 => [1,2,1,2,1] => 603
[6,8,7,5,3,4,1,2] => 0111010 => [1,3,1,1,1] => 427
[4,8,6,3,1,5,7,2] => 0111001 => [1,3,2,1] => 259
[3,4,8,2,5,7,6,1] => 0010011 => [2,1,2,2] => 363
[3,5,7,2,8,6,1,4] => 0010110 => [2,1,1,2,1] => 603
[2,5,7,4,8,6,1,3] => 0010110 => [2,1,1,2,1] => 603
[2,6,3,7,5,1,8,4] => 0101101 => [1,1,1,2,1,1] => 1006
[2,6,4,8,7,5,1,3] => 0101110 => [1,1,1,3,1] => 450
[6,3,7,2,8,5,1,4] => 1010110 => [1,1,1,1,2,1] => 1023
[3,6,2,5,8,7,1,4] => 0100110 => [1,1,2,2,1] => 611
[5,2,8,4,7,6,1,3] => 1010110 => [1,1,1,1,2,1] => 1023
[7,2,4,8,6,5,1,3] => 1001110 => [1,2,3,1] => 262
[6,2,4,8,7,5,1,3] => 1001110 => [1,2,3,1] => 262
[2,4,5,8,7,6,1,3] => 0001110 => [3,3,1] => 110
[4,2,7,3,8,1,6,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[2,5,1,4,7,3,8,6] => 0100101 => [1,1,2,1,1,1] => 984
[6,1,3,8,7,2,5,4] => 1001101 => [1,2,2,1,1] => 594
[3,1,5,6,2,8,7,4] => 1001011 => [1,2,1,1,2] => 603
[4,1,5,2,8,7,6,3] => 1010111 => [1,1,1,1,3] => 450
[7,1,4,2,8,6,5,3] => 1010111 => [1,1,1,1,3] => 450
[4,1,5,3,2,8,7,6] => 1011011 => [1,1,2,1,2] => 611
[7,2,3,5,1,8,6,4] => 1001011 => [1,2,1,1,2] => 603
[3,4,5,1,8,7,6,2] => 0010111 => [2,1,1,3] => 262
[1,4,5,2,8,7,6,3] => 0010111 => [2,1,1,3] => 262
[1,6,4,2,8,7,5,3] => 0110111 => [1,2,1,3] => 262
[5,6,3,1,8,7,4,2] => 0110111 => [1,2,1,3] => 262
[7,4,2,5,1,8,6,3] => 1101011 => [2,1,1,1,2] => 603
[5,3,6,2,8,1,7,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,6,2,7,5,1,8,3] => 0101101 => [1,1,1,2,1,1] => 1006
[1,5,3,6,2,8,7,4] => 0101011 => [1,1,1,1,1,2] => 1023
[1,5,8,3,2,7,6,4] => 0011011 => [2,2,1,2] => 357
[4,5,8,2,1,7,6,3] => 0011011 => [2,2,1,2] => 357
[3,6,2,5,1,4,8,7] => 0101001 => [1,1,1,1,2,1] => 1023
[5,2,8,4,1,3,7,6] => 1011001 => [1,1,2,2,1] => 611
[2,4,8,7,1,3,6,5] => 0011001 => [2,2,2,1] => 357
[1,3,8,2,4,7,6,5] => 0010011 => [2,1,2,2] => 363
[6,3,1,7,2,8,5,4] => 1101011 => [2,1,1,1,2] => 603
[7,5,1,2,8,6,4,3] => 1100111 => [2,2,3] => 153
[1,5,2,3,8,7,6,4] => 0100111 => [1,1,2,3] => 265
[4,5,1,2,8,7,6,3] => 0100111 => [1,1,2,3] => 265
[6,4,1,2,8,7,5,3] => 1100111 => [2,2,3] => 153
[5,3,1,7,2,8,6,4] => 1101011 => [2,1,1,1,2] => 603
[5,2,8,1,3,7,6,4] => 1010011 => [1,1,1,2,2] => 622
[4,7,5,6,8,3,1,2] => 0100110 => [1,1,2,2,1] => 611
[8,6,4,7,5,3,1,2] => 1101110 => [2,1,3,1] => 262
[1,6,3,7,5,8,4,2] => 0101011 => [1,1,1,1,1,2] => 1023
[1,3,7,4,5,8,6,2] => 0010011 => [2,1,2,2] => 363
[6,8,4,7,5,3,1,2] => 0101110 => [1,1,1,3,1] => 450
[4,8,7,5,6,3,1,2] => 0110110 => [1,2,1,2,1] => 603
[8,6,5,2,1,4,3,7] => 1111010 => [4,1,1,1] => 145
[2,7,6,3,1,4,5,8] => 0111000 => [1,3,3] => 110
[2,7,6,4,5,1,3,8] => 0110100 => [1,2,1,1,2] => 603
[5,7,2,6,4,1,3,8] => 0101100 => [1,1,1,2,2] => 622
[1,8,2,7,3,6,5,4] => 0101011 => [1,1,1,1,1,2] => 1023
[2,1,3,8,4,7,5,6] => 1001010 => [1,2,1,1,1,1] => 969
[8,1,2,7,4,3,6,5] => 1001101 => [1,2,2,1,1] => 594
[8,7,2,1,5,4,3,6] => 1110110 => [3,1,2,1] => 259
[2,4,8,3,1,5,6,7] => 0011000 => [2,2,3] => 153
[4,7,3,8,2,1,5,6] => 0101100 => [1,1,1,2,2] => 622
[5,2,7,3,1,4,6,8] => 1011000 => [1,1,2,3] => 265
[8,3,7,2,1,5,4,6] => 1011010 => [1,1,2,1,1,1] => 984
[2,6,4,5,7,1,3,8] => 0100100 => [1,1,2,1,2] => 611
[7,6,3,1,8,4,5,2] => 1110101 => [3,1,1,1,1] => 427
[1,7,5,8,6,4,3,2] => 0101111 => [1,1,1,4] => 148
[6,5,1,2,8,3,7,4] => 1100101 => [2,2,1,1,1] => 582
[6,8,4,1,3,7,5,2] => 0110011 => [1,2,2,2] => 363
[5,8,3,1,7,4,6,2] => 0110101 => [1,2,1,1,1,1] => 969
[8,3,1,7,5,4,6,2] => 1101101 => [2,1,2,1,1] => 594
[1,2,8,7,6,3,5,4] => 0011101 => [2,3,1,1] => 256
[2,3,1,8,7,4,5,6] => 0101100 => [1,1,1,2,2] => 622
[2,4,1,8,5,7,3,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,8,2,1,7,6,3,4] => 0110110 => [1,2,1,2,1] => 603
[6,2,7,1,8,5,3,4] => 1010110 => [1,1,1,1,2,1] => 1023
[8,7,1,6,5,4,3,2] => 1101111 => [2,1,4] => 85
[7,1,8,3,6,5,4,2] => 1010111 => [1,1,1,1,3] => 450
[8,1,2,3,4,5,9,6,7] => 10000010 => [1,5,1,1] => 240
[8,1,2,3,4,9,5,6,7] => 10000100 => [1,4,1,2] => 526
[8,1,2,9,3,4,5,6,7] => 10010000 => [1,2,1,4] => 534
[8,1,9,2,3,4,5,6,7] => 10100000 => [1,1,1,5] => 244
[6,1,2,3,4,5,8,9,7] => 10000001 => [1,6,1] => 50
[5,1,2,3,4,8,9,6,7] => 10000010 => [1,5,1,1] => 240
[4,1,2,3,8,9,5,6,7] => 10000100 => [1,4,1,2] => 526
[3,1,2,8,9,4,5,6,7] => 10001000 => [1,3,1,3] => 676
[2,1,8,9,3,4,5,6,7] => 10010000 => [1,2,1,4] => 534
[3,5,8,7,2,6,4,1] => 0011011 => [2,2,1,2] => 357
[5,8,2,7,1,6,4,3] => 0101011 => [1,1,1,1,1,2] => 1023
[2,1,6,4,5,8,3,7] => 1010010 => [1,1,1,2,1,1] => 1006
[8,6,3,7,5,2,1,4] => 1101110 => [2,1,3,1] => 262
[4,6,3,8,5,2,1,7] => 0101110 => [1,1,1,3,1] => 450
[4,6,3,7,5,2,8,1] => 0101101 => [1,1,1,2,1,1] => 1006
[3,5,7,8,2,6,1,4] => 0001010 => [3,1,1,1,1] => 427
[7,2,3,4,6,8,5,1] => 1000011 => [1,4,2] => 85
[4,2,3,6,1,5,8,7] => 1001001 => [1,2,1,2,1] => 603
[4,8,3,7,5,1,6,2] => 0101101 => [1,1,1,2,1,1] => 1006
[5,2,3,4,8,7,1,6] => 1000110 => [1,3,2,1] => 259
[5,2,3,4,6,8,1,7] => 1000010 => [1,4,1,1] => 145
[4,2,8,5,7,6,1,3] => 1010110 => [1,1,1,1,2,1] => 1023
[3,7,6,4,5,1,8,2] => 0110101 => [1,2,1,1,1,1] => 969
[3,8,6,4,5,1,2,7] => 0110100 => [1,2,1,1,2] => 603
[4,8,3,7,5,2,1,6] => 0101110 => [1,1,1,3,1] => 450
[8,7,3,6,5,1,2,4] => 1101100 => [2,1,2,2] => 363
[4,2,7,5,8,6,3,1] => 1010111 => [1,1,1,1,3] => 450
[5,8,1,7,3,6,4,2] => 0101011 => [1,1,1,1,1,2] => 1023
[5,2,7,8,4,6,3,1] => 1001011 => [1,2,1,1,2] => 603
[5,2,8,3,7,6,1,4] => 1010110 => [1,1,1,1,2,1] => 1023
[8,2,7,3,1,6,4,5] => 1011010 => [1,1,2,1,1,1] => 984
[6,2,3,4,8,5,1,7] => 1000110 => [1,3,2,1] => 259
[6,2,3,4,1,8,5,7] => 1001010 => [1,2,1,1,1,1] => 969
[7,2,3,4,1,8,6,5] => 1001011 => [1,2,1,1,2] => 603
[7,2,3,4,1,5,8,6] => 1001001 => [1,2,1,2,1] => 603
[1,2,3,4,8,7,5,6] => 0000110 => [4,2,1] => 85
[1,2,8,5,3,4,6,7] => 0011000 => [2,2,3] => 153
[1,8,4,2,3,5,6,7] => 0110000 => [1,2,4] => 85
[8,6,7,4,1,5,3,2] => 1011011 => [1,1,2,1,2] => 611
[4,8,6,7,5,1,3,2] => 0101101 => [1,1,1,2,1,1] => 1006
[7,1,8,4,6,5,2,3] => 1010110 => [1,1,1,1,2,1] => 1023
[8,7,1,5,4,6,2,3] => 1101010 => [2,1,1,1,1,1] => 969
[8,5,7,1,4,6,3,2] => 1010011 => [1,1,1,2,2] => 622
[6,4,8,5,1,7,3,2] => 1011011 => [1,1,2,1,2] => 611
[4,8,5,7,1,6,3,2] => 0101011 => [1,1,1,1,1,2] => 1023
[8,4,7,1,5,6,3,2] => 1010011 => [1,1,1,2,2] => 622
[8,7,1,4,5,6,3,2] => 1100011 => [2,3,2] => 153
[8,7,4,5,6,1,3,2] => 1100101 => [2,2,1,1,1] => 582
[8,7,5,1,4,6,2,3] => 1110010 => [3,2,1,1] => 256
[8,7,2,5,1,4,6,3] => 1101001 => [2,1,1,2,1] => 603
[4,8,7,2,5,1,6,3] => 0110101 => [1,2,1,1,1,1] => 969
[1,6,4,8,5,2,7,3] => 0101101 => [1,1,1,2,1,1] => 1006
[8,7,1,4,2,5,6,3] => 1101001 => [2,1,1,2,1] => 603
[8,7,5,1,2,4,6,3] => 1110001 => [3,3,1] => 110
[7,1,8,5,6,2,3,4] => 1010100 => [1,1,1,1,1,2] => 1023
[3,8,7,1,2,5,6,4] => 0110001 => [1,2,3,1] => 262
[3,5,8,7,1,2,6,4] => 0011001 => [2,2,2,1] => 357
[2,3,8,5,7,1,6,4] => 0010101 => [2,1,1,1,1,1] => 969
[3,8,7,1,5,6,2,4] => 0110010 => [1,2,2,1,1] => 594
[3,5,8,7,1,6,2,4] => 0011010 => [2,2,1,1,1] => 582
[2,3,8,6,7,5,1,4] => 0010110 => [2,1,1,2,1] => 603
[3,2,8,6,7,5,1,4] => 1010110 => [1,1,1,1,2,1] => 1023
[4,1,8,6,2,7,5,3] => 1011011 => [1,1,2,1,2] => 611
[8,7,4,1,2,6,5,3] => 1110011 => [3,2,2] => 153
[1,3,8,6,7,5,2,4] => 0010110 => [2,1,1,2,1] => 603
[5,7,1,8,2,6,3,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,8,7,1,5,6,3,4] => 0110010 => [1,2,2,1,1] => 594
[8,7,1,5,2,4,6,3] => 1101001 => [2,1,1,2,1] => 603
[7,1,8,2,4,6,5,3] => 1010011 => [1,1,1,2,2] => 622
[1,6,2,8,4,7,5,3] => 0101011 => [1,1,1,1,1,2] => 1023
[1,3,8,5,7,2,6,4] => 0010101 => [2,1,1,1,1,1] => 969
[1,8,3,7,2,5,6,4] => 0101001 => [1,1,1,1,2,1] => 1023
[2,8,7,1,3,5,6,4] => 0110001 => [1,2,3,1] => 262
[5,7,1,8,2,3,6,4] => 0101001 => [1,1,1,1,2,1] => 1023
[7,1,8,2,3,5,6,4] => 1010001 => [1,1,1,3,1] => 450
[8,6,3,7,4,1,5,2] => 1101101 => [2,1,2,1,1] => 594
[4,2,8,6,7,5,1,3] => 1010110 => [1,1,1,1,2,1] => 1023
[8,4,2,7,5,6,1,3] => 1101010 => [2,1,1,1,1,1] => 969
[4,8,3,6,1,7,5,2] => 0101011 => [1,1,1,1,1,2] => 1023
[8,3,4,7,5,1,6,2] => 1001101 => [1,2,2,1,1] => 594
[8,3,7,4,5,1,6,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,7,4,2,5,6,1,3] => 1110010 => [3,2,1,1] => 256
[8,7,5,1,6,2,3,4] => 1110100 => [3,1,1,2] => 259
[8,7,2,4,1,5,6,3] => 1101001 => [2,1,1,2,1] => 603
[4,8,6,1,7,2,5,3] => 0110101 => [1,2,1,1,1,1] => 969
[4,7,1,8,2,6,5,3] => 0101011 => [1,1,1,1,1,2] => 1023
[4,2,8,6,7,1,5,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,7,4,1,2,5,6,3] => 1110001 => [3,3,1] => 110
[8,2,7,1,6,3,4,5] => 1010100 => [1,1,1,1,1,2] => 1023
[8,2,7,1,3,6,4,5] => 1010010 => [1,1,1,2,1,1] => 1006
[2,8,3,6,7,1,5,4] => 0100101 => [1,1,2,1,1,1] => 984
[8,7,2,1,3,5,6,4] => 1110001 => [3,3,1] => 110
[1,8,7,2,3,6,4,5] => 0110010 => [1,2,2,1,1] => 594
[1,8,7,2,6,3,4,5] => 0110100 => [1,2,1,1,2] => 603
[8,2,7,3,6,1,4,5] => 1010100 => [1,1,1,1,1,2] => 1023
[1,8,7,3,6,2,4,5] => 0110100 => [1,2,1,1,2] => 603
[1,8,2,7,6,3,4,5] => 0101100 => [1,1,1,2,2] => 622
[8,2,7,4,1,5,6,3] => 1011001 => [1,1,2,2,1] => 611
[8,2,1,7,5,6,3,4] => 1101010 => [2,1,1,1,1,1] => 969
[8,7,3,1,5,6,2,4] => 1110010 => [3,2,1,1] => 256
[2,8,7,3,5,6,1,4] => 0110010 => [1,2,2,1,1] => 594
[8,3,1,6,7,5,2,4] => 1100110 => [2,2,2,1] => 357
[8,5,2,1,6,7,4,3] => 1110011 => [3,2,2] => 153
[1,5,2,8,6,7,4,3] => 0101011 => [1,1,1,1,1,2] => 1023
[1,2,8,6,7,5,3,4] => 0010110 => [2,1,1,2,1] => 603
[1,8,3,6,7,5,2,4] => 0100110 => [1,1,2,2,1] => 611
[8,2,3,6,7,5,1,4] => 1000110 => [1,3,2,1] => 259
[8,3,7,2,5,6,1,4] => 1010010 => [1,1,1,2,1,1] => 1006
[8,1,3,7,5,6,2,4] => 1001010 => [1,2,1,1,1,1] => 969
[8,4,1,2,7,5,6,3] => 1100101 => [2,2,1,1,1] => 582
[8,1,4,2,6,7,5,3] => 1010011 => [1,1,1,2,2] => 622
[1,2,8,6,7,3,5,4] => 0010101 => [2,1,1,1,1,1] => 969
[8,1,2,7,3,6,4,5] => 1001010 => [1,2,1,1,1,1] => 969
[8,1,7,3,6,2,4,5] => 1010100 => [1,1,1,1,1,2] => 1023
[8,1,7,2,6,3,4,5] => 1010100 => [1,1,1,1,1,2] => 1023
[8,1,7,2,3,6,4,5] => 1010010 => [1,1,1,2,1,1] => 1006
[8,1,3,7,2,5,6,4] => 1001001 => [1,2,1,2,1] => 603
[1,8,3,6,7,2,5,4] => 0100101 => [1,1,2,1,1,1] => 984
[1,7,8,2,3,6,5,4] => 0010011 => [2,1,2,2] => 363
[8,3,7,1,2,5,6,4] => 1010001 => [1,1,1,3,1] => 450
[8,7,1,2,3,6,4,5] => 1100010 => [2,3,1,1] => 256
[2,8,5,7,4,6,3,1] => 0101011 => [1,1,1,1,1,2] => 1023
[3,1,8,5,7,4,2,6] => 1010110 => [1,1,1,1,2,1] => 1023
[8,3,5,7,4,2,6,1] => 1001101 => [1,2,2,1,1] => 594
[8,3,6,2,4,5,7,1] => 1010001 => [1,1,1,3,1] => 450
[2,8,6,4,3,5,7,1] => 0111001 => [1,3,2,1] => 259
[2,6,8,3,5,4,7,1] => 0010101 => [2,1,1,1,1,1] => 969
[2,7,5,8,4,6,3,1] => 0101011 => [1,1,1,1,1,2] => 1023
[8,4,2,7,6,1,3,5] => 1101100 => [2,1,2,2] => 363
[4,8,1,7,6,3,2,5] => 0101110 => [1,1,1,3,1] => 450
[4,1,7,6,2,3,5,8] => 1011000 => [1,1,2,3] => 265
[3,7,1,8,6,2,5,4] => 0101101 => [1,1,1,2,1,1] => 1006
[3,1,7,6,4,5,2,8] => 1011010 => [1,1,2,1,1,1] => 984
[3,1,7,5,8,4,2,6] => 1010110 => [1,1,1,1,2,1] => 1023
[3,1,6,8,7,5,2,4] => 1001110 => [1,2,3,1] => 262
[6,3,8,7,5,2,4,1] => 1011101 => [1,1,3,1,1] => 439
[7,3,5,8,4,2,6,1] => 1001101 => [1,2,2,1,1] => 594
[7,3,6,4,2,8,5,1] => 1011011 => [1,1,2,1,2] => 611
[7,8,3,6,2,5,4,1] => 0101011 => [1,1,1,1,1,2] => 1023
[7,4,8,2,1,6,3,5] => 1011010 => [1,1,2,1,1,1] => 984
[8,7,4,6,3,2,5,1] => 1101101 => [2,1,2,1,1] => 594
[7,8,5,2,1,4,3,6] => 0111010 => [1,3,1,1,1] => 427
[7,5,2,3,1,4,8,6] => 1101001 => [2,1,1,2,1] => 603
[7,4,6,2,3,8,1,5] => 1010010 => [1,1,1,2,1,1] => 1006
[6,4,2,5,8,3,7,1] => 1100101 => [2,2,1,1,1] => 582
[4,6,5,8,1,3,2,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,7,1,5,3,8,2,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,7,8,1,3,6,2,5] => 0010010 => [2,1,2,1,1] => 594
[5,7,1,3,4,6,2,8] => 0100010 => [1,1,3,1,1] => 439
[5,7,1,4,2,3,6,8] => 0101000 => [1,1,1,1,3] => 450
[5,8,1,3,2,4,6,7] => 0101000 => [1,1,1,1,3] => 450
[4,8,6,1,3,2,7,5] => 0110101 => [1,2,1,1,1,1] => 969
[8,4,6,2,1,3,7,5] => 1011001 => [1,1,2,2,1] => 611
[5,4,8,7,2,3,6,1] => 1011001 => [1,1,2,2,1] => 611
[5,4,8,7,3,1,2,6] => 1011100 => [1,1,3,2] => 265
[6,8,3,7,2,5,4,1] => 0101011 => [1,1,1,1,1,2] => 1023
[5,4,6,8,2,3,7,1] => 1001001 => [1,2,1,2,1] => 603
[5,7,4,2,8,3,6,1] => 0110101 => [1,2,1,1,1,1] => 969
[6,4,7,2,1,8,3,5] => 1011010 => [1,1,2,1,1,1] => 984
[6,5,3,4,1,2,8,7] => 1101001 => [2,1,1,2,1] => 603
[6,8,5,4,1,3,2,7] => 0111010 => [1,3,1,1,1] => 427
[6,4,3,7,1,5,2,8] => 1101010 => [2,1,1,1,1,1] => 969
[9,8,7,6,5,2,3,1,4] => 11111010 => [5,1,1,1] => 240
[9,8,7,6,3,4,2,1,5] => 11110110 => [4,1,2,1] => 526
[9,8,7,4,5,3,2,1,6] => 11101110 => [3,1,3,1] => 676
[9,8,5,6,4,3,2,1,7] => 11011110 => [2,1,4,1] => 534
[9,6,7,5,4,3,2,1,8] => 10111110 => [1,1,5,1] => 244
[7,4,2,6,1,5,3,8] => 1101010 => [2,1,1,1,1,1] => 969
[7,4,2,5,6,1,3,8] => 1100100 => [2,2,1,2] => 357
[6,4,2,8,1,5,7,3] => 1101001 => [2,1,1,2,1] => 603
[6,3,7,8,2,5,1,4] => 1001010 => [1,2,1,1,1,1] => 969
[7,3,5,6,4,2,1,8] => 1001110 => [1,2,3,1] => 262
[7,4,3,1,5,6,2,8] => 1110010 => [3,2,1,1] => 256
[7,4,5,2,6,1,3,8] => 1010100 => [1,1,1,1,1,2] => 1023
[5,3,7,2,8,6,4,1] => 1010111 => [1,1,1,1,3] => 450
[5,3,8,2,6,7,4,1] => 1010011 => [1,1,1,2,2] => 622
[6,3,8,2,5,4,7,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,4,8,2,1,5,7,3] => 1011001 => [1,1,2,2,1] => 611
[6,4,3,1,8,2,7,5] => 1110101 => [3,1,1,1,1] => 427
[5,3,7,8,2,6,4,1] => 1001011 => [1,2,1,1,2] => 603
[4,7,8,5,6,3,2,1] => 0010111 => [2,1,1,3] => 262
[5,3,7,6,8,2,4,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,7,8,4,6,2,1,3] => 0010110 => [2,1,1,2,1] => 603
[5,8,4,3,6,7,1,2] => 0110010 => [1,2,2,1,1] => 594
[5,8,6,4,7,2,1,3] => 0110110 => [1,2,1,2,1] => 603
[5,3,8,6,2,7,4,1] => 1011011 => [1,1,2,1,2] => 611
[4,7,5,8,6,3,2,1] => 0101111 => [1,1,1,4] => 148
[4,8,6,7,5,3,2,1] => 0101111 => [1,1,1,4] => 148
[6,3,8,7,2,4,1,5] => 1011010 => [1,1,2,1,1,1] => 984
[5,3,8,7,2,6,4,1] => 1011011 => [1,1,2,1,2] => 611
[5,3,8,6,7,2,4,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,3,7,8,6,2,4,1] => 1001101 => [1,2,2,1,1] => 594
[5,7,6,4,8,2,1,3] => 0110110 => [1,2,1,2,1] => 603
[5,8,4,6,7,2,1,3] => 0100110 => [1,1,2,2,1] => 611
[6,4,2,8,1,7,3,5] => 1101010 => [2,1,1,1,1,1] => 969
[6,5,2,4,3,7,8,1] => 1101001 => [2,1,1,2,1] => 603
[5,4,6,2,8,7,1,3] => 1010110 => [1,1,1,1,2,1] => 1023
[5,6,3,8,7,2,4,1] => 0101101 => [1,1,1,2,1,1] => 1006
[6,7,4,3,1,8,2,5] => 0111010 => [1,3,1,1,1] => 427
[5,7,4,3,6,8,1,2] => 0110010 => [1,2,2,1,1] => 594
[5,7,3,8,6,2,4,1] => 0101101 => [1,1,1,2,1,1] => 1006
[4,5,8,6,7,3,2,1] => 0010111 => [2,1,1,3] => 262
[4,6,8,5,7,3,2,1] => 0010111 => [2,1,1,3] => 262
[5,6,8,3,7,2,4,1] => 0010101 => [2,1,1,1,1,1] => 969
[5,4,6,8,2,7,1,3] => 1001010 => [1,2,1,1,1,1] => 969
[5,7,8,2,6,4,1,3] => 0010110 => [2,1,1,2,1] => 603
[1,7,4,8,6,2,3,5] => 0101100 => [1,1,1,2,2] => 622
[3,6,2,5,7,8,1,4] => 0100010 => [1,1,3,1,1] => 439
[5,2,7,4,6,8,1,3] => 1010010 => [1,1,1,2,1,1] => 1006
[5,3,6,7,1,8,4,2] => 1001011 => [1,2,1,1,2] => 603
[4,2,5,6,7,1,8,3] => 1000101 => [1,3,1,1,1] => 427
[8,1,3,6,7,2,4,5] => 1000100 => [1,3,1,2] => 259
[8,1,4,2,5,6,3,7] => 1010010 => [1,1,1,2,1,1] => 1006
[8,1,4,2,7,5,3,6] => 1010110 => [1,1,1,1,2,1] => 1023
[6,1,3,8,2,7,4,5] => 1001010 => [1,2,1,1,1,1] => 969
[7,3,4,1,5,8,6,2] => 1010011 => [1,1,1,2,2] => 622
[1,7,5,2,8,6,3,4] => 0110110 => [1,2,1,2,1] => 603
[3,7,4,1,8,5,6,2] => 0110101 => [1,2,1,1,1,1] => 969
[5,6,3,1,7,8,4,2] => 0110011 => [1,2,2,2] => 363
[3,6,4,8,1,5,7,2] => 0101001 => [1,1,1,1,2,1] => 1023
[1,5,8,4,2,6,3,7] => 0011010 => [2,2,1,1,1] => 582
[3,5,7,4,1,6,8,2] => 0011001 => [2,2,2,1] => 357
[3,5,7,1,2,6,4,8] => 0010010 => [2,1,2,1,1] => 594
[4,5,1,8,2,3,7,6] => 0101001 => [1,1,1,1,2,1] => 1023
[4,7,1,8,2,6,3,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[7,5,1,2,3,8,6,4] => 1100011 => [2,3,2] => 153
[6,4,1,2,7,3,8,5] => 1100101 => [2,2,1,1,1] => 582
[5,2,6,1,3,4,8,7] => 1010001 => [1,1,1,3,1] => 450
[7,8,4,5,1,3,2,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[6,7,1,3,2,5,4,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[6,7,1,4,3,5,2,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[7,8,2,3,1,5,4,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[7,8,2,4,3,5,1,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[7,8,2,4,1,5,3,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,4,2,6,5,7,3,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,6,1,4,2,7,3,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[6,7,2,4,1,5,3,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[6,7,2,4,3,5,1,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[6,7,2,3,1,5,4,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[6,7,3,5,4,8,1,2] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,4,1,6,5,7,3,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,5,2,6,4,7,3,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,5,1,6,4,7,3,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,6,5,7,4,8,1,2] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,6,2,4,3,7,1,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,5,2,6,1,7,3,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,5,1,6,3,7,2,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,5,3,6,1,7,2,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,6,3,4,1,7,2,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,6,1,4,3,7,2,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,6,1,3,2,7,4,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,6,4,7,1,3,2,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[6,7,4,5,1,3,2,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[6,7,5,8,1,3,2,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,5,1,3,2,7,6,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,6,5,7,1,3,2,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,6,1,3,2,7,5,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,4,3,6,2,7,5,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,4,1,6,5,7,2,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,5,2,3,1,7,6,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,5,3,7,6,8,1,2] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,6,5,7,3,8,1,2] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,6,5,7,2,3,1,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,5,4,6,1,7,2,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,5,1,6,4,7,2,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,5,3,6,4,7,2,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,5,3,6,2,7,4,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,5,2,6,1,7,4,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,5,2,6,4,7,1,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,4,2,6,1,7,5,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,6,2,3,1,7,5,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,4,3,6,1,7,5,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,5,3,6,4,7,1,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,5,3,6,1,7,4,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,6,2,7,5,4,8,1] => 0101101 => [1,1,1,2,1,1] => 1006
[4,6,1,7,3,8,2,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,2,6,7,4,3,8,1] => 1001101 => [1,2,2,1,1] => 594
[3,5,2,7,6,4,8,1] => 0101101 => [1,1,1,2,1,1] => 1006
[1,5,7,2,8,3,6,4] => 0010101 => [2,1,1,1,1,1] => 969
[2,5,7,3,1,8,4,6] => 0011010 => [2,2,1,1,1] => 582
[1,3,7,2,8,5,6,4] => 0010101 => [2,1,1,1,1,1] => 969
[2,1,5,6,8,4,3,7] => 1000110 => [1,3,2,1] => 259
[1,3,7,2,8,5,4,6] => 0010110 => [2,1,1,2,1] => 603
[4,6,2,7,1,8,3,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,5,4,3,6,8,2,7] => 0110010 => [1,2,2,1,1] => 594
[1,6,4,5,7,8,3,2] => 0100011 => [1,1,3,2] => 265
[2,1,5,6,8,4,7,3] => 1000101 => [1,3,1,1,1] => 427
[2,1,5,6,8,7,3,4] => 1000110 => [1,3,2,1] => 259
[3,6,5,2,7,8,4,1] => 0110011 => [1,2,2,2] => 363
[6,2,4,7,5,8,3,1] => 1001011 => [1,2,1,1,2] => 603
[1,5,7,8,4,2,6,3] => 0001101 => [3,2,1,1] => 256
[3,7,4,1,8,6,2,5] => 0110110 => [1,2,1,2,1] => 603
[3,4,6,8,5,7,2,1] => 0001011 => [3,1,1,2] => 259
[4,2,5,7,3,1,8,6] => 1001101 => [1,2,2,1,1] => 594
[4,5,6,2,8,7,3,1] => 0010111 => [2,1,1,3] => 262
[2,5,6,8,1,7,4,3] => 0001011 => [3,1,1,2] => 259
[4,5,6,1,8,7,3,2] => 0010111 => [2,1,1,3] => 262
[4,5,6,3,1,8,7,2] => 0011011 => [2,2,1,2] => 357
[4,3,6,2,1,7,5,8] => 1011010 => [1,1,2,1,1,1] => 984
[4,6,3,2,1,7,5,8] => 0111010 => [1,3,1,1,1] => 427
[4,6,3,1,7,5,2,8] => 0110110 => [1,2,1,2,1] => 603
[4,5,3,7,6,1,8,2] => 0101101 => [1,1,1,2,1,1] => 1006
[4,5,1,7,3,8,6,2] => 0101011 => [1,1,1,1,1,2] => 1023
[2,5,7,1,4,3,8,6] => 0010101 => [2,1,1,1,1,1] => 969
[4,3,5,7,6,1,8,2] => 1001101 => [1,2,2,1,1] => 594
[4,3,6,1,7,5,2,8] => 1010110 => [1,1,1,1,2,1] => 1023
[4,3,2,6,1,7,5,8] => 1101010 => [2,1,1,1,1,1] => 969
[5,3,2,1,6,4,7,8] => 1110100 => [3,1,1,2] => 259
[5,3,1,6,2,7,4,8] => 1101010 => [2,1,1,1,1,1] => 969
[5,1,6,3,2,7,4,8] => 1011010 => [1,1,2,1,1,1] => 984
[2,6,1,4,7,5,3,8] => 0100110 => [1,1,2,2,1] => 611
[3,6,1,7,4,2,5,8] => 0101100 => [1,1,1,2,2] => 622
[4,6,1,7,5,3,2,8] => 0101110 => [1,1,1,3,1] => 450
[5,1,6,3,7,4,2,8] => 1010110 => [1,1,1,1,2,1] => 1023
[5,3,6,4,2,1,7,8] => 1011100 => [1,1,3,2] => 265
[5,3,2,6,4,1,7,8] => 1101100 => [2,1,2,2] => 363
[5,2,1,6,3,7,4,8] => 1101010 => [2,1,1,1,1,1] => 969
[5,2,6,3,1,7,4,8] => 1011010 => [1,1,2,1,1,1] => 984
[4,2,6,3,1,7,8,5] => 1011001 => [1,1,2,2,1] => 611
[3,6,2,1,7,4,5,8] => 0110100 => [1,2,1,1,2] => 603
[3,6,2,7,4,1,5,8] => 0101100 => [1,1,1,2,2] => 622
[3,5,7,2,8,6,4,1] => 0010111 => [2,1,1,3] => 262
[2,4,7,1,3,6,5,8] => 0010010 => [2,1,2,1,1] => 594
[2,6,1,3,7,5,4,8] => 0100110 => [1,1,2,2,1] => 611
[3,6,1,7,5,2,4,8] => 0101100 => [1,1,1,2,2] => 622
[5,1,6,2,7,4,3,8] => 1010110 => [1,1,1,1,2,1] => 1023
[5,2,6,4,3,1,7,8] => 1011100 => [1,1,3,2] => 265
[5,2,1,6,4,3,7,8] => 1101100 => [2,1,2,2] => 363
[5,4,2,1,6,3,7,8] => 1110100 => [3,1,1,2] => 259
[5,4,2,6,3,1,7,8] => 1101100 => [2,1,2,2] => 363
[5,4,1,6,2,7,3,8] => 1101010 => [2,1,1,1,1,1] => 969
[5,1,6,4,2,7,3,8] => 1011010 => [1,1,2,1,1,1] => 984
[3,6,1,7,5,4,8,2] => 0101101 => [1,1,1,2,1,1] => 1006
[2,6,1,5,4,3,7,8] => 0101100 => [1,1,1,2,2] => 622
[3,1,6,2,5,4,7,8] => 1010100 => [1,1,1,1,1,2] => 1023
[5,1,6,4,3,2,7,8] => 1011100 => [1,1,3,2] => 265
[5,4,1,6,3,2,7,8] => 1101100 => [2,1,2,2] => 363
[5,4,3,1,6,2,7,8] => 1110100 => [3,1,1,2] => 259
[8,2,1,7,6,5,4,3,9] => 11011110 => [2,1,4,1] => 534
[7,3,1,6,5,4,8,2] => 1101101 => [2,1,2,1,1] => 594
[7,2,8,1,5,4,3,6] => 1010110 => [1,1,1,1,2,1] => 1023
[4,2,7,6,5,8,1,3] => 1011010 => [1,1,2,1,1,1] => 984
[3,8,2,6,5,4,1,7] => 0101110 => [1,1,1,3,1] => 450
[3,2,8,7,6,5,4,1,9] => 10111110 => [1,1,5,1] => 244
[8,3,1,7,6,5,4,9,2] => 11011101 => [2,1,3,1,1] => 1580
[8,2,9,1,6,5,4,3,7] => 10101110 => [1,1,1,1,3,1] => 2790
[7,3,2,1,5,4,6,8] => 1110100 => [3,1,1,2] => 259
[7,2,8,6,1,4,3,5] => 1011010 => [1,1,2,1,1,1] => 984
[5,2,7,6,8,4,1,3] => 1010110 => [1,1,1,1,2,1] => 1023
[4,2,8,7,6,5,9,1,3] => 10111010 => [1,1,3,1,1,1] => 2652
[3,8,7,2,5,4,1,6] => 0110110 => [1,2,1,2,1] => 603
[3,9,2,7,6,5,4,1,8] => 01011110 => [1,1,1,4,1] => 934
[8,4,1,7,6,5,9,3,2] => 11011011 => [2,1,2,1,2] => 2194
[8,3,2,1,6,5,4,7,9] => 11101100 => [3,1,2,2] => 936
[8,2,9,7,1,5,4,3,6] => 10110110 => [1,1,2,1,2,1] => 3732
[7,5,1,6,8,4,3,2] => 1100111 => [2,2,3] => 153
[7,4,2,1,5,6,3,8] => 1110010 => [3,2,1,1] => 256
[7,2,8,6,5,1,3,4] => 1011100 => [1,1,3,2] => 265
[5,3,2,6,7,4,1,8] => 1100110 => [2,2,2,1] => 357
[5,2,8,7,6,9,4,1,3] => 10110110 => [1,1,2,1,2,1] => 3732
[4,3,7,2,5,6,1,8] => 1010010 => [1,1,1,2,1,1] => 1006
[4,3,2,7,6,5,8,1,9] => 11011010 => [2,1,2,1,1,1] => 3588
[3,9,8,2,6,5,4,1,7] => 01101110 => [1,2,1,3,1] => 1612
[6,7,1,4,3,2,5,8] => 0101100 => [1,1,1,2,2] => 622
[3,4,2,6,7,1,5,8] => 0100100 => [1,1,2,1,2] => 611
[3,7,1,6,5,2,4,8] => 0101100 => [1,1,1,2,2] => 622
[3,5,6,2,4,7,1,8] => 0010010 => [2,1,2,1,1] => 594
[3,5,8,7,2,4,6,1] => 0011001 => [2,2,2,1] => 357
[1,7,8,2,5,4,3,6] => 0010110 => [2,1,1,2,1] => 603
[8,7,2,5,4,3,6,1] => 1101101 => [2,1,2,1,1] => 594
[2,5,6,4,7,1,3,8] => 0010100 => [2,1,1,1,2] => 603
[4,7,1,6,3,5,2,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,5,3,8,7,2,6,1] => 0101101 => [1,1,1,2,1,1] => 1006
[1,4,5,3,7,8,2,6] => 0010010 => [2,1,2,1,1] => 594
[1,4,8,2,7,6,3,5] => 0010110 => [2,1,1,2,1] => 603
[4,7,3,5,1,8,6,2] => 0101011 => [1,1,1,1,1,2] => 1023
[8,7,3,6,1,5,4,2] => 1101011 => [2,1,1,1,2] => 603
[2,5,8,7,4,6,1,3] => 0011010 => [2,2,1,1,1] => 582
[5,4,2,1,7,8,3,6] => 1110010 => [3,2,1,1] => 256
[4,7,8,3,5,2,1,6] => 0010110 => [2,1,1,2,1] => 603
[4,7,6,2,1,8,3,5] => 0111010 => [1,3,1,1,1] => 427
[1,4,6,7,3,5,8,2] => 0001001 => [3,1,2,1] => 259
[8,3,6,2,1,7,5,4] => 1011011 => [1,1,2,1,2] => 611
[8,3,7,6,4,2,1,5] => 1011110 => [1,1,4,1] => 148
[2,3,1,8,4,7,6,5] => 0101011 => [1,1,1,1,1,2] => 1023
[2,7,4,8,6,5,1,3] => 0101110 => [1,1,1,3,1] => 450
[8,6,5,1,4,7,3,2] => 1110011 => [3,2,2] => 153
[8,5,4,1,7,3,6,2] => 1110101 => [3,1,1,1,1] => 427
[6,3,7,2,8,5,4,1] => 1010111 => [1,1,1,1,3] => 450
[1,6,3,8,2,7,5,4] => 0101011 => [1,1,1,1,1,2] => 1023
[1,7,5,3,8,2,6,4] => 0110101 => [1,2,1,1,1,1] => 969
[6,2,7,4,1,8,5,3] => 1011011 => [1,1,2,1,2] => 611
[8,6,3,2,7,5,1,4] => 1110110 => [3,1,2,1] => 259
[2,7,5,1,3,8,6,4] => 0110011 => [1,2,2,2] => 363
[1,7,6,4,3,8,2,5] => 0111010 => [1,3,1,1,1] => 427
[3,7,2,4,8,6,5,1] => 0100111 => [1,1,2,3] => 265
[3,4,2,8,7,6,1,5] => 0101110 => [1,1,1,3,1] => 450
[5,1,4,3,2,7,8,6] => 1011001 => [1,1,2,2,1] => 611
[3,7,8,5,2,4,1,6] => 0011010 => [2,2,1,1,1] => 582
[3,7,6,2,4,1,8,5] => 0110101 => [1,2,1,1,1,1] => 969
[1,6,8,2,5,7,4,3] => 0010011 => [2,1,2,2] => 363
[6,7,2,5,8,4,3,1] => 0100111 => [1,1,2,3] => 265
[5,2,7,8,4,3,1,6] => 1001110 => [1,2,3,1] => 262
[5,3,1,7,8,4,2,6] => 1100110 => [2,2,2,1] => 357
[2,7,6,4,1,3,8,5] => 0111001 => [1,3,2,1] => 259
[4,1,7,6,3,2,8,5] => 1011101 => [1,1,3,1,1] => 439
[8,4,2,7,6,3,1,5] => 1101110 => [2,1,3,1] => 262
[6,3,1,7,5,2,8,4] => 1101101 => [2,1,2,1,1] => 594
[6,2,7,5,3,1,8,4] => 1011101 => [1,1,3,1,1] => 439
[1,5,8,2,7,4,6,3] => 0010101 => [2,1,1,1,1,1] => 969
[5,7,2,8,4,6,3,1] => 0101011 => [1,1,1,1,1,2] => 1023
[5,7,3,1,8,4,6,2] => 0110101 => [1,2,1,1,1,1] => 969
[8,4,7,3,1,6,5,2] => 1011011 => [1,1,2,1,2] => 611
[2,6,8,5,7,4,1,3] => 0010110 => [2,1,1,2,1] => 603
[6,5,2,1,7,4,8,3] => 1110101 => [3,1,1,1,1] => 427
[5,7,4,6,2,1,8,3] => 0101101 => [1,1,1,2,1,1] => 1006
[5,6,4,8,3,7,2,1] => 0101011 => [1,1,1,1,1,2] => 1023
[6,7,1,8,3,4,2,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[7,8,3,5,1,4,2,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,6,2,7,1,8,3,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[6,7,2,4,3,8,1,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,4,3,8,6,7,1,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,8,2,7,4,5,3,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,5,4,8,3,6,1,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,3,1,8,5,6,4,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,8,5,6,4,7,1,2] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,7,3,6,4,8,1,2] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,7,2,3,1,6,4,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,7,2,4,3,6,1,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,6,2,7,1,5,3,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,7,1,6,2,5,3,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,7,1,5,3,6,2,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,6,3,5,1,7,2,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[6,7,3,5,1,4,2,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,6,3,7,1,4,2,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,7,1,6,3,4,2,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,8,5,6,3,4,2,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,8,5,6,4,7,2,3] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,7,1,6,4,8,2,3] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,6,5,8,1,7,2,3] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,7,1,4,2,8,5,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,5,1,4,2,8,6,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,6,5,8,3,7,1,2] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,6,5,8,2,3,1,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,4,2,6,5,8,1,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,5,4,6,2,8,1,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,8,3,5,4,7,2,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,4,2,7,1,8,5,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,7,2,3,1,8,5,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,4,3,8,1,7,5,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,5,3,8,4,7,1,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,6,3,8,1,7,4,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,7,1,8,3,6,4,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,2,8,7,4,6,3,5] => 0011010 => [2,2,1,1,1] => 582
[4,5,1,8,7,6,2,3] => 0101110 => [1,1,1,3,1] => 450
[4,1,5,8,7,6,2,3] => 1001110 => [1,2,3,1] => 262
[4,5,7,8,2,6,3,1] => 0001011 => [3,1,1,2] => 259
[5,2,6,8,3,7,4,1] => 1001011 => [1,2,1,1,2] => 603
[3,1,6,8,7,4,5,2] => 1001101 => [1,2,2,1,1] => 594
[6,1,4,8,7,2,5,3] => 1001101 => [1,2,2,1,1] => 594
[6,1,8,4,7,3,5,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,6,7,8,2,5,3,1] => 0001011 => [3,1,1,2] => 259
[7,4,5,2,8,6,3,1] => 1010111 => [1,1,1,1,3] => 450
[7,5,8,4,2,6,3,1] => 1011011 => [1,1,2,1,2] => 611
[6,8,4,5,2,7,3,1] => 0101011 => [1,1,1,1,1,2] => 1023
[6,8,2,5,3,7,4,1] => 0101011 => [1,1,1,1,1,2] => 1023
[6,3,8,4,2,7,5,1] => 1011011 => [1,1,2,1,2] => 611
[7,2,5,3,8,6,4,1] => 1010111 => [1,1,1,1,3] => 450
[3,4,7,5,8,6,2,1] => 0010111 => [2,1,1,3] => 262
[3,6,7,4,8,5,2,1] => 0010111 => [2,1,1,3] => 262
[6,7,4,2,8,5,3,1] => 0110111 => [1,2,1,3] => 262
[4,7,5,2,8,6,3,1] => 0110111 => [1,2,1,3] => 262
[2,7,5,3,8,6,4,1] => 0110111 => [1,2,1,3] => 262
[5,6,2,8,3,7,4,1] => 0101011 => [1,1,1,1,1,2] => 1023
[1,5,8,2,7,3,6,4] => 0010101 => [2,1,1,1,1,1] => 969
[5,8,4,7,2,3,6,1] => 0101001 => [1,1,1,1,2,1] => 1023
[6,7,4,8,1,5,3,2] => 0101011 => [1,1,1,1,1,2] => 1023
[1,7,4,8,6,2,5,3] => 0101101 => [1,1,1,2,1,1] => 1006
[6,8,5,3,7,2,4,1] => 0110101 => [1,2,1,1,1,1] => 969
[6,8,5,2,3,7,4,1] => 0110011 => [1,2,2,2] => 363
[7,5,3,8,2,6,4,1] => 1101011 => [2,1,1,1,2] => 603
[7,5,2,3,8,6,4,1] => 1100111 => [2,2,3] => 153
[3,7,4,5,8,6,2,1] => 0100111 => [1,1,2,3] => 265
[6,7,3,4,8,5,2,1] => 0100111 => [1,1,2,3] => 265
[3,6,4,7,8,5,2,1] => 0100111 => [1,1,2,3] => 265
[6,4,2,7,8,5,3,1] => 1100111 => [2,2,3] => 153
[7,4,2,5,8,6,3,1] => 1100111 => [2,2,3] => 153
[6,8,4,2,5,7,3,1] => 0110011 => [1,2,2,2] => 363
[7,5,8,3,4,6,2,1] => 1010011 => [1,1,1,2,2] => 622
[7,4,5,8,1,6,3,2] => 1001011 => [1,2,1,1,2] => 603
[6,3,4,7,8,5,2,1] => 1000111 => [1,3,3] => 110
[7,8,2,3,4,5,6,9,1] => 01000001 => [1,1,5,1] => 244
[6,1,7,3,4,5,8,2] => 1010001 => [1,1,1,3,1] => 450
[5,7,2,3,4,1,8,6] => 0100101 => [1,1,2,1,1,1] => 984
[2,7,1,8,4,5,6,3] => 0101001 => [1,1,1,1,2,1] => 1023
[2,6,8,3,4,5,1,7] => 0010010 => [2,1,2,1,1] => 594
[2,8,9,3,4,5,6,7,1] => 00100001 => [2,1,4,1] => 534
[7,1,8,3,4,5,6,9,2] => 10100001 => [1,1,1,4,1] => 934
[6,8,2,3,4,5,1,9,7] => 01000101 => [1,1,3,1,1,1] => 2652
[6,1,2,7,4,5,8,3] => 1001001 => [1,2,1,2,1] => 603
[4,7,2,3,1,5,8,6] => 0101001 => [1,1,1,1,2,1] => 1023
[2,7,1,3,8,5,6,4] => 0100101 => [1,1,2,1,1,1] => 984
[2,6,7,8,4,5,3,1] => 0001011 => [3,1,1,2] => 259
[2,8,1,9,4,5,6,7,3] => 01010001 => [1,1,1,1,3,1] => 2790
[2,5,8,3,4,1,6,7] => 0010100 => [2,1,1,1,2] => 603
[2,7,9,3,4,5,6,1,8] => 00100010 => [2,1,3,1,1] => 1580
[7,1,2,8,4,5,6,9,3] => 10010001 => [1,2,1,3,1] => 1612
[6,7,8,3,4,5,2,9,1] => 00100101 => [2,1,2,1,1,1] => 3588
[5,8,2,3,4,1,6,9,7] => 01001001 => [1,1,2,1,2,1] => 3732
[5,6,2,7,4,3,8,1] => 0101101 => [1,1,1,2,1,1] => 1006
[4,6,7,3,2,5,8,1] => 0011001 => [2,2,2,1] => 357
[2,6,7,3,8,5,4,1] => 0010111 => [2,1,1,3] => 262
[2,8,1,3,9,5,6,7,4] => 01001001 => [1,1,2,1,2,1] => 3732
[2,6,1,8,4,5,3,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,5,7,8,4,3,6,1] => 0001101 => [3,2,1,1] => 256
[2,7,8,9,4,5,6,3,1] => 00010011 => [3,1,2,2] => 936
[2,6,9,3,4,5,1,7,8] => 00100100 => [2,1,2,1,2] => 2194
[3,6,8,4,5,7,1,2] => 0010010 => [2,1,2,1,1] => 594
[1,6,8,4,7,2,3,5] => 0010100 => [2,1,1,1,2] => 603
[1,4,5,7,8,2,6,3] => 0000101 => [4,1,1,1] => 145
[3,4,5,7,8,6,1,2] => 0000110 => [4,2,1] => 85
[3,4,5,7,6,8,1,2] => 0001010 => [3,1,1,1,1] => 427
[3,6,7,4,8,5,1,2] => 0010110 => [2,1,1,2,1] => 603
[3,4,5,6,8,7,1,2] => 0000110 => [4,2,1] => 85
[1,4,5,8,7,2,3,6] => 0001100 => [3,2,2] => 153
[1,2,5,8,3,6,4,7] => 0001010 => [3,1,1,1,1] => 427
[1,4,5,8,6,2,3,7] => 0001100 => [3,2,2] => 153
[7,8,1,4,6,2,3,5] => 0100100 => [1,1,2,1,2] => 611
[1,6,7,4,8,2,5,3] => 0010101 => [2,1,1,1,1,1] => 969
[1,4,5,6,8,2,7,3] => 0000101 => [4,1,1,1] => 145
[1,4,5,8,6,2,7,3] => 0001101 => [3,2,1,1] => 256
[1,2,5,8,3,4,7,6] => 0001001 => [3,1,2,1] => 259
[1,6,7,2,3,5,8,4] => 0010001 => [2,1,3,1] => 262
[7,8,1,2,3,5,4,6] => 0100010 => [1,1,3,1,1] => 439
[1,6,7,2,3,5,4,8] => 0010010 => [2,1,2,1,1] => 594
[1,4,5,7,6,2,3,8] => 0001100 => [3,2,2] => 153
[1,2,5,7,3,6,4,8] => 0001010 => [3,1,1,1,1] => 427
[1,2,5,7,3,6,8,4] => 0001001 => [3,1,2,1] => 259
[1,6,8,2,3,5,7,4] => 0010001 => [2,1,3,1] => 262
[1,6,8,4,5,2,3,7] => 0010100 => [2,1,1,1,2] => 603
[1,6,8,4,5,2,7,3] => 0010101 => [2,1,1,1,1,1] => 969
[1,6,8,2,3,4,7,5] => 0010001 => [2,1,3,1] => 262
[1,6,8,2,3,7,4,5] => 0010010 => [2,1,2,1,1] => 594
[1,4,5,7,6,2,8,3] => 0001101 => [3,2,1,1] => 256
[7,8,1,4,5,2,6,3] => 0100101 => [1,1,2,1,1,1] => 984
[7,8,1,2,3,4,6,5] => 0100001 => [1,1,4,1] => 148
[7,8,1,2,3,6,4,5] => 0100010 => [1,1,3,1,1] => 439
[1,6,7,2,3,8,5,4] => 0010011 => [2,1,2,2] => 363
[1,2,5,6,3,8,7,4] => 0001011 => [3,1,1,2] => 259
[4,2,1,6,5,3,8,7] => 1101101 => [2,1,2,1,1] => 594
[8,2,4,3,1,6,5,7] => 1011010 => [1,1,2,1,1,1] => 984
[6,2,4,3,1,8,7,5] => 1011011 => [1,1,2,1,2] => 611
[4,2,6,3,5,1,8,7] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,6,2,1,5,8,7,3] => 0110011 => [1,2,2,2] => 363
[4,6,5,2,1,8,7,3] => 0111011 => [1,3,1,2] => 259
[2,1,6,4,3,8,7,5] => 1011011 => [1,1,2,1,2] => 611
[4,8,2,1,6,7,3,5] => 0110010 => [1,2,2,1,1] => 594
[6,8,2,1,4,3,7,5] => 0110101 => [1,2,1,1,1,1] => 969
[8,6,2,4,3,1,5,7] => 1101100 => [2,1,2,2] => 363
[6,8,2,4,3,1,7,5] => 0101101 => [1,1,1,2,1,1] => 1006
[6,8,7,2,4,3,1,5] => 0110110 => [1,2,1,2,1] => 603
[2,1,8,4,6,5,3,7] => 1010110 => [1,1,1,1,2,1] => 1023
[2,1,6,4,8,5,7,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,6,5,2,8,3,7,1] => 0110101 => [1,2,1,1,1,1] => 969
[2,6,4,5,8,3,7,1] => 0100101 => [1,1,2,1,1,1] => 984
[6,4,2,8,3,5,7,1] => 1101001 => [2,1,1,2,1] => 603
[8,4,2,6,3,5,1,7] => 1101010 => [2,1,1,1,1,1] => 969
[6,2,4,8,5,3,7,1] => 1001101 => [1,2,2,1,1] => 594
[4,2,6,3,5,8,7,1] => 1010011 => [1,1,1,2,2] => 622
[4,2,6,3,8,7,5,1] => 1010111 => [1,1,1,1,3] => 450
[6,2,4,3,8,5,7,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,2,4,3,6,5,1,7] => 1010110 => [1,1,1,1,2,1] => 1023
[8,2,1,4,6,5,3,7] => 1100110 => [2,2,2,1] => 357
[6,2,1,4,8,5,7,3] => 1100101 => [2,2,1,1,1] => 582
[6,2,1,8,7,4,3,5] => 1101110 => [2,1,3,1] => 262
[6,2,1,8,4,3,7,5] => 1101101 => [2,1,2,1,1] => 594
[8,4,6,5,2,1,3,7] => 1011100 => [1,1,3,2] => 265
[6,4,8,5,2,1,7,3] => 1011101 => [1,1,3,1,1] => 439
[6,4,8,5,7,2,1,3] => 1010110 => [1,1,1,1,2,1] => 1023
[4,6,8,7,5,2,1,3] => 0011110 => [2,4,1] => 85
[2,1,4,8,6,7,3,5] => 1001010 => [1,2,1,1,1,1] => 969
[2,6,8,7,4,5,1,3] => 0011010 => [2,2,1,1,1] => 582
[2,4,8,6,7,5,1,3] => 0010110 => [2,1,1,2,1] => 603
[4,2,8,6,5,7,1,3] => 1011010 => [1,1,2,1,1,1] => 984
[8,2,6,4,5,1,3,7] => 1010100 => [1,1,1,1,1,2] => 1023
[8,4,6,2,1,5,3,7] => 1011010 => [1,1,2,1,1,1] => 984
[4,6,8,7,2,1,5,3] => 0011101 => [2,3,1,1] => 256
[4,6,5,8,2,1,7,3] => 0101101 => [1,1,1,2,1,1] => 1006
[2,1,6,8,4,3,7,5] => 1001101 => [1,2,2,1,1] => 594
[6,8,7,4,2,1,3,5] => 0111100 => [1,4,2] => 85
[2,8,6,4,7,1,3,5] => 0110100 => [1,2,1,1,2] => 603
[4,8,6,2,1,7,3,5] => 0111010 => [1,3,1,1,1] => 427
[2,8,5,3,1,4,6,7] => 0111000 => [1,3,3] => 110
[2,7,4,8,3,5,1,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,7,4,8,3,5,6,1] => 0101001 => [1,1,1,1,2,1] => 1023
[7,2,8,4,3,5,1,6] => 1011010 => [1,1,2,1,1,1] => 984
[8,4,2,1,5,3,6,7] => 1110100 => [3,1,1,2] => 259
[8,5,1,4,2,3,6,7] => 1101000 => [2,1,1,3] => 262
[8,4,1,5,3,2,6,7] => 1101100 => [2,1,2,2] => 363
[6,7,3,8,4,2,5,1] => 0101101 => [1,1,1,2,1,1] => 1006
[6,7,3,8,4,2,1,5] => 0101110 => [1,1,1,3,1] => 450
[7,1,8,4,3,5,2,6] => 1011010 => [1,1,2,1,1,1] => 984
[1,7,8,4,3,5,2,6] => 0011010 => [2,2,1,1,1] => 582
[7,1,4,8,3,5,2,6] => 1001010 => [1,2,1,1,1,1] => 969
[7,4,8,1,5,6,2,3] => 1010010 => [1,1,1,2,1,1] => 1006
[7,1,8,4,3,5,6,2] => 1011001 => [1,1,2,2,1] => 611
[6,7,3,1,8,4,5,2] => 0110101 => [1,2,1,1,1,1] => 969
[6,7,3,8,4,5,2,1] => 0101011 => [1,1,1,1,1,2] => 1023
[6,7,1,4,8,3,5,2] => 0100101 => [1,1,2,1,1,1] => 984
[6,7,4,1,3,8,2,5] => 0110010 => [1,2,2,1,1] => 594
[1,6,7,8,4,3,2,5] => 0001110 => [3,3,1] => 110
[7,2,1,8,4,5,3,6] => 1101010 => [2,1,1,1,1,1] => 969
[6,2,7,1,8,4,3,5] => 1010110 => [1,1,1,1,2,1] => 1023
[6,2,7,8,4,3,1,5] => 1001110 => [1,2,3,1] => 262
[6,2,7,8,4,3,5,1] => 1001101 => [1,2,2,1,1] => 594
[2,6,7,4,8,3,5,1] => 0010101 => [2,1,1,1,1,1] => 969
[2,6,7,4,8,3,1,5] => 0010110 => [2,1,1,2,1] => 603
[7,8,1,3,6,2,4,5] => 0100100 => [1,1,2,1,2] => 611
[1,2,7,8,6,3,4,5] => 0001100 => [3,2,2] => 153
[2,6,7,1,8,5,3,4] => 0010110 => [2,1,1,2,1] => 603
[2,6,7,8,5,3,1,4] => 0001110 => [3,3,1] => 110
[2,6,7,8,5,3,4,1] => 0001101 => [3,2,1,1] => 256
[6,2,7,8,4,5,3,1] => 1001011 => [1,2,1,1,2] => 603
[7,2,1,8,4,5,6,3] => 1101001 => [2,1,1,2,1] => 603
[1,7,2,8,4,5,6,3] => 0101001 => [1,1,1,1,2,1] => 1023
[3,7,8,1,5,6,2,4] => 0010010 => [2,1,2,1,1] => 594
[6,3,7,8,1,5,2,4] => 1001010 => [1,2,1,1,1,1] => 969
[6,7,1,2,8,5,3,4] => 0100110 => [1,1,2,2,1] => 611
[1,6,7,8,4,2,5,3] => 0001101 => [3,2,1,1] => 256
[3,1,2,7,6,5,8,4] => 1001101 => [1,2,2,1,1] => 594
[6,1,2,4,7,3,8,5] => 1000101 => [1,3,1,1,1] => 427
[1,7,5,3,6,4,8,2] => 0110101 => [1,2,1,1,1,1] => 969
[5,1,2,6,7,4,8,3] => 1000101 => [1,3,1,1,1] => 427
[4,1,5,7,3,2,6,8] => 1001100 => [1,2,2,2] => 363
[4,6,1,7,3,2,5,8] => 0101100 => [1,1,1,2,2] => 622
[4,6,1,8,3,2,5,7] => 0101100 => [1,1,1,2,2] => 622
[4,7,1,8,3,5,2,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,1,7,8,6,2,3,5] => 1001100 => [1,2,2,2] => 363
[1,6,5,7,8,3,4,2] => 0100101 => [1,1,2,1,1,1] => 984
[1,6,5,8,7,3,4,2] => 0101101 => [1,1,1,2,1,1] => 1006
[4,1,8,7,6,2,3,5] => 1011100 => [1,1,3,2] => 265
[4,8,1,7,3,5,2,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,8,1,6,3,2,5,7] => 0101100 => [1,1,1,2,2] => 622
[4,7,1,6,3,2,5,8] => 0101100 => [1,1,1,2,2] => 622
[6,1,2,3,7,5,4,8] => 1000110 => [1,3,2,1] => 259
[6,8,1,5,3,7,2,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[8,7,5,2,4,1,6,3] => 1110101 => [3,1,1,1,1] => 427
[1,5,7,3,4,8,6,2] => 0010011 => [2,1,2,2] => 363
[1,5,8,3,4,7,6,2] => 0010011 => [2,1,2,2] => 363
[7,8,5,2,4,1,6,3] => 0110101 => [1,2,1,1,1,1] => 969
[7,1,2,3,5,6,4,8] => 1000010 => [1,4,1,1] => 145
[8,1,2,3,5,6,4,7] => 1000010 => [1,4,1,1] => 145
[8,1,2,3,5,4,7,6] => 1000101 => [1,3,1,1,1] => 427
[7,1,8,4,6,3,2,5] => 1010110 => [1,1,1,1,2,1] => 1023
[6,8,2,4,3,1,5,7] => 0101100 => [1,1,1,2,2] => 622
[6,7,2,4,3,1,5,8] => 0101100 => [1,1,1,2,2] => 622
[3,8,1,2,4,5,7,6] => 0100001 => [1,1,4,1] => 148
[3,7,1,8,6,4,2,5] => 0101110 => [1,1,1,3,1] => 450
[1,6,4,3,7,5,8,2] => 0110101 => [1,2,1,1,1,1] => 969
[3,1,2,6,7,5,8,4] => 1000101 => [1,3,1,1,1] => 427
[3,8,1,7,6,4,2,5] => 0101110 => [1,1,1,3,1] => 450
[7,6,2,4,3,1,5,8] => 1101100 => [2,1,2,2] => 363
[8,7,2,4,3,5,1,6] => 1101010 => [2,1,1,1,1,1] => 969
[8,1,7,4,6,3,2,5] => 1010110 => [1,1,1,1,2,1] => 1023
[8,1,7,6,5,3,2,4] => 1011110 => [1,1,4,1] => 148
[1,5,7,3,4,6,8,2] => 0010001 => [2,1,3,1] => 262
[8,7,2,5,3,6,1,4] => 1101010 => [2,1,1,1,1,1] => 969
[7,1,2,3,5,4,8,6] => 1000101 => [1,3,1,1,1] => 427
[6,1,2,3,5,8,4,7] => 1000010 => [1,4,1,1] => 145
[6,1,2,3,5,7,4,8] => 1000010 => [1,4,1,1] => 145
[5,1,2,3,7,6,4,8] => 1000110 => [1,3,2,1] => 259
[5,1,2,3,8,6,4,7] => 1000110 => [1,3,2,1] => 259
[1,5,6,3,4,7,8,2] => 0010001 => [2,1,3,1] => 262
[8,6,5,2,4,7,1,3] => 1110010 => [3,2,1,1] => 256
[7,6,2,5,3,1,8,4] => 1101101 => [2,1,2,1,1] => 594
[7,4,5,2,3,8,6,1] => 1010011 => [1,1,1,2,2] => 622
[8,2,3,7,4,5,1,6] => 1001010 => [1,2,1,1,1,1] => 969
[8,4,7,3,2,5,1,6] => 1011010 => [1,1,2,1,1,1] => 984
[5,4,6,3,1,2,8,7] => 1011001 => [1,1,2,2,1] => 611
[4,6,2,3,1,5,8,7] => 0101001 => [1,1,1,1,2,1] => 1023
[7,2,3,4,5,8,6,1] => 1000011 => [1,4,2] => 85
[8,2,3,4,5,7,1,6] => 1000010 => [1,4,1,1] => 145
[7,3,4,6,8,5,1,2] => 1000110 => [1,3,2,1] => 259
[4,7,3,2,8,6,1,5] => 0110110 => [1,2,1,2,1] => 603
[3,7,4,5,1,8,6,2] => 0101011 => [1,1,1,1,1,2] => 1023
[3,8,2,6,7,4,5,1] => 0100101 => [1,1,2,1,1,1] => 984
[4,8,1,5,6,7,3,2] => 0100011 => [1,1,3,2] => 265
[5,8,2,4,6,7,1,3] => 0100010 => [1,1,3,1,1] => 439
[6,8,1,3,4,2,7,5] => 0100101 => [1,1,2,1,1,1] => 984
[5,8,2,4,3,1,7,6] => 0101101 => [1,1,1,2,1,1] => 1006
[2,1,7,6,8,5,3,4] => 1010110 => [1,1,1,1,2,1] => 1023
[3,7,6,1,8,5,2,4] => 0110110 => [1,2,1,2,1] => 603
[4,7,2,3,8,5,1,6] => 0100110 => [1,1,2,2,1] => 611
[7,1,3,6,4,8,5,2] => 1001011 => [1,2,1,1,2] => 603
[7,6,1,4,8,5,2,3] => 1100110 => [2,2,2,1] => 357
[6,2,3,7,8,5,4,1] => 1000111 => [1,3,3] => 110
[6,2,3,8,4,5,1,7] => 1001010 => [1,2,1,1,1,1] => 969
[7,2,3,6,8,4,1,5] => 1000110 => [1,3,2,1] => 259
[8,2,3,5,7,1,4,6] => 1000100 => [1,3,1,2] => 259
[6,4,8,3,5,1,7,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,4,8,3,6,7,1,2] => 1010010 => [1,1,1,2,1,1] => 1006
[3,5,1,8,4,6,7,2] => 0101001 => [1,1,1,1,2,1] => 1023
[3,6,1,8,4,5,2,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,6,8,3,5,2,7,1] => 0010101 => [2,1,1,1,1,1] => 969
[5,7,8,3,2,4,1,6] => 0011010 => [2,2,1,1,1] => 582
[4,8,2,3,5,6,1,7] => 0100010 => [1,1,3,1,1] => 439
[6,8,2,3,1,4,5,7] => 0101000 => [1,1,1,1,3] => 450
[5,2,7,4,8,3,1,6] => 1010110 => [1,1,1,1,2,1] => 1023
[3,7,8,2,1,4,6,5] => 0011001 => [2,2,2,1] => 357
[3,7,5,2,8,4,1,6] => 0110110 => [1,2,1,2,1] => 603
[6,3,2,4,1,8,7,5] => 1101011 => [2,1,1,1,2] => 603
[7,2,3,4,8,5,1,6] => 1000110 => [1,3,2,1] => 259
[5,7,3,1,4,2,6,8] => 0110100 => [1,2,1,1,2] => 603
[3,7,4,1,8,2,5,6] => 0110100 => [1,2,1,1,2] => 603
[6,3,7,4,8,1,2,5] => 1010100 => [1,1,1,1,1,2] => 1023
[8,3,7,4,2,6,1,5] => 1011010 => [1,1,2,1,1,1] => 984
[3,7,4,1,5,6,2,8] => 0110010 => [1,2,2,1,1] => 594
[1,8,3,2,4,5,7,6] => 0110001 => [1,2,3,1] => 262
[8,4,1,6,3,7,5,2] => 1101011 => [2,1,1,1,2] => 603
[8,7,4,2,1,6,3,5] => 1111010 => [4,1,1,1] => 145
[8,3,5,2,7,4,1,6] => 1010110 => [1,1,1,1,2,1] => 1023
[1,5,3,8,7,6,4,2] => 0101111 => [1,1,1,4] => 148
[7,2,4,8,1,3,6,5] => 1001001 => [1,2,1,2,1] => 603
[1,2,8,7,5,6,3,4] => 0011010 => [2,2,1,1,1] => 582
[3,1,8,6,7,5,2,4] => 1010110 => [1,1,1,1,2,1] => 1023
[1,4,8,6,5,7,2,3] => 0011010 => [2,2,1,1,1] => 582
[1,6,5,4,8,2,3,7] => 0110100 => [1,2,1,1,2] => 603
[5,1,6,8,3,4,2,7] => 1001010 => [1,2,1,1,1,1] => 969
[6,2,5,1,7,4,3,8] => 1010110 => [1,1,1,1,2,1] => 1023
[5,2,1,8,7,4,3,6] => 1101110 => [2,1,3,1] => 262
[5,2,6,3,8,1,4,7] => 1010100 => [1,1,1,1,1,2] => 1023
[5,2,8,3,4,6,1,7] => 1010010 => [1,1,1,2,1,1] => 1006
[6,2,8,4,3,1,7,5] => 1011101 => [1,1,3,1,1] => 439
[7,2,8,1,3,6,5,4] => 1010011 => [1,1,1,2,2] => 622
[7,3,8,1,4,6,2,5] => 1010010 => [1,1,1,2,1,1] => 1006
[1,7,8,5,4,6,3,2] => 0011011 => [2,2,1,2] => 357
[1,5,8,4,6,3,7,2] => 0010101 => [2,1,1,1,1,1] => 969
[5,3,8,4,1,2,7,6] => 1011001 => [1,1,2,2,1] => 611
[5,8,4,3,6,2,1,7] => 0110110 => [1,2,1,2,1] => 603
[1,8,3,6,5,2,7,4] => 0101101 => [1,1,1,2,1,1] => 1006
[1,8,2,4,7,6,5,3] => 0100111 => [1,1,2,3] => 265
[3,8,1,4,6,7,5,2] => 0100011 => [1,1,3,2] => 265
[3,8,2,5,1,7,6,4] => 0101011 => [1,1,1,1,1,2] => 1023
[4,3,8,2,5,1,6,7] => 1010100 => [1,1,1,1,1,2] => 1023
[8,2,4,3,5,1,7,6] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,2,1,4,6,5,7,3] => 1100101 => [2,2,1,1,1] => 582
[8,1,3,4,5,7,6,2] => 1000011 => [1,4,2] => 85
[6,1,5,2,4,7,8,3] => 1010001 => [1,1,1,3,1] => 450
[4,1,8,5,2,7,6,3] => 1011011 => [1,1,2,1,2] => 611
[4,8,5,1,3,6,2,7] => 0110010 => [1,2,2,1,1] => 594
[3,6,1,5,7,2,8,4] => 0100101 => [1,1,2,1,1,1] => 984
[6,3,1,2,8,5,7,4] => 1100101 => [2,2,1,1,1] => 582
[4,1,8,2,3,7,5,6] => 1010010 => [1,1,1,2,1,1] => 1006
[5,3,8,7,2,1,4,6] => 1011100 => [1,1,3,2] => 265
[6,7,3,5,1,4,8,2] => 0101001 => [1,1,1,1,2,1] => 1023
[6,4,7,5,8,2,3,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,7,8,4,2,6,3,1] => 0011011 => [2,2,1,2] => 357
[5,7,4,1,6,8,3,2] => 0110011 => [1,2,2,2] => 363
[5,8,4,6,1,7,3,2] => 0101011 => [1,1,1,1,1,2] => 1023
[5,6,1,4,7,8,3,2] => 0100011 => [1,1,3,2] => 265
[5,6,3,7,4,8,2,1] => 0101011 => [1,1,1,1,1,2] => 1023
[5,3,6,7,4,8,2,1] => 1001011 => [1,2,1,1,2] => 603
[5,3,2,8,6,7,4,1] => 1101011 => [2,1,1,1,2] => 603
[5,4,8,2,6,7,3,1] => 1010011 => [1,1,1,2,2] => 622
[5,4,8,6,2,7,3,1] => 1011011 => [1,1,2,1,2] => 611
[7,4,8,5,6,2,1,3] => 1010110 => [1,1,1,1,2,1] => 1023
[5,6,3,8,4,7,2,1] => 0101011 => [1,1,1,1,1,2] => 1023
[5,6,3,8,2,7,4,1] => 0101011 => [1,1,1,1,1,2] => 1023
[4,3,7,2,8,6,5,1] => 1010111 => [1,1,1,1,3] => 450
[6,7,3,8,5,2,4,1] => 0101101 => [1,1,1,2,1,1] => 1006
[6,2,7,5,1,4,8,3] => 1011001 => [1,1,2,2,1] => 611
[3,5,7,8,4,6,2,1] => 0001011 => [3,1,1,2] => 259
[5,3,7,8,4,6,2,1] => 1001011 => [1,2,1,1,2] => 603
[5,7,8,2,4,6,3,1] => 0010011 => [2,1,2,2] => 363
[2,5,8,4,3,7,6,1] => 0011011 => [2,2,1,2] => 357
[3,7,4,8,6,2,1,5] => 0101110 => [1,1,1,3,1] => 450
[3,6,4,8,7,2,5,1] => 0101101 => [1,1,1,2,1,1] => 1006
[3,5,4,8,2,7,6,1] => 0101011 => [1,1,1,1,1,2] => 1023
[4,5,7,3,8,6,2,1] => 0010111 => [2,1,1,3] => 262
[3,5,6,8,4,7,2,1] => 0001011 => [3,1,1,2] => 259
[6,3,1,8,7,5,4,2] => 1101111 => [2,1,4] => 85
[5,4,8,1,7,6,3,2] => 1010111 => [1,1,1,1,3] => 450
[5,8,4,1,7,6,3,2] => 0110111 => [1,2,1,3] => 262
[7,5,4,1,8,6,3,2] => 1110111 => [3,1,3] => 110
[8,5,4,1,7,6,3,2] => 1110111 => [3,1,3] => 110
[1,8,2,5,6,3,4,7] => 0100100 => [1,1,2,1,2] => 611
[7,2,8,4,5,1,3,6] => 1010100 => [1,1,1,1,1,2] => 1023
[1,3,7,5,6,2,4,8] => 0010100 => [2,1,1,1,2] => 603
[1,6,7,4,3,5,2,8] => 0011010 => [2,2,1,1,1] => 582
[1,8,5,2,3,7,4,6] => 0110010 => [1,2,2,1,1] => 594
[1,8,2,5,3,6,7,4] => 0101001 => [1,1,1,1,2,1] => 1023
[2,6,8,4,3,5,7,1] => 0011001 => [2,2,2,1] => 357
[7,5,8,3,2,1,6,4] => 1011101 => [1,1,3,1,1] => 439
[7,2,8,4,1,5,6,3] => 1011001 => [1,1,2,2,1] => 611
[7,5,8,1,2,6,3,4] => 1010010 => [1,1,1,2,1,1] => 1006
[1,6,7,4,3,2,8,5] => 0011101 => [2,3,1,1] => 256
[1,5,2,6,4,7,8,3] => 0101001 => [1,1,1,1,2,1] => 1023
[1,5,4,6,2,3,7,8] => 0101000 => [1,1,1,1,3] => 450
[6,2,5,7,1,4,8,3] => 1001001 => [1,2,1,2,1] => 603
[6,5,4,3,8,1,7,2] => 1110101 => [3,1,1,1,1] => 427
[7,3,6,8,5,2,4,1] => 1001101 => [1,2,2,1,1] => 594
[2,7,8,3,6,5,1,4] => 0010110 => [2,1,1,2,1] => 603
[2,7,8,5,4,6,3,1] => 0011011 => [2,2,1,2] => 357
[2,6,5,8,3,4,1,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,6,5,7,3,4,1,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[6,2,5,7,4,1,3,8] => 1001100 => [1,2,2,2] => 363
[6,2,5,8,4,1,3,7] => 1001100 => [1,2,2,2] => 363
[2,7,8,4,6,1,3,5] => 0010100 => [2,1,1,1,2] => 603
[6,1,2,8,3,7,4,5] => 1001010 => [1,2,1,1,1,1] => 969
[6,1,2,8,5,4,7,3] => 1001101 => [1,2,2,1,1] => 594
[6,2,5,7,8,1,3,4] => 1000100 => [1,3,1,2] => 259
[1,5,4,2,6,7,3,8] => 0110010 => [1,2,2,1,1] => 594
[2,6,5,7,3,8,1,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,6,2,7,5,8,4,3] => 0101011 => [1,1,1,1,1,2] => 1023
[1,3,2,7,8,5,6,4] => 0100101 => [1,1,2,1,1,1] => 984
[1,6,2,4,8,7,3,5] => 0100110 => [1,1,2,2,1] => 611
[6,5,2,1,8,7,3,4] => 1110110 => [3,1,2,1] => 259
[2,6,5,3,7,8,4,1] => 0110011 => [1,2,2,2] => 363
[6,2,5,3,8,4,7,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,5,2,3,8,7,1,4] => 1100110 => [2,2,2,1] => 357
[5,4,1,2,3,8,6,7] => 1100010 => [2,3,1,1] => 256
[5,1,4,2,3,7,8,6] => 1010001 => [1,1,1,3,1] => 450
[1,5,4,2,6,3,8,7] => 0110101 => [1,2,1,1,1,1] => 969
[5,1,6,3,8,2,7,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,7,6,5,4,2,1,3,9] => 11111100 => [6,2] => 28
[1,9,8,7,6,5,3,2,4] => 01111110 => [1,6,1] => 50
[1,8,7,6,2,5,4,3] => 0111011 => [1,3,1,2] => 259
[1,9,8,7,6,5,2,4,3] => 01111101 => [1,5,1,1] => 240
[2,1,9,8,7,6,5,4,3] => 10111111 => [1,1,6] => 50
[1,2,9,8,7,6,5,4,3] => 00111111 => [2,6] => 28
[3,2,1,9,8,7,6,5,4] => 11011111 => [2,1,5] => 138
[1,3,2,9,8,7,6,5,4] => 01011111 => [1,1,1,5] => 244
[1,2,3,9,8,7,6,5,4] => 00011111 => [3,5] => 56
[4,3,2,1,9,8,7,6,5] => 11101111 => [3,1,4] => 220
[1,4,3,2,9,8,7,6,5] => 01101111 => [1,2,1,4] => 534
[2,1,4,3,9,8,7,6,5] => 10101111 => [1,1,1,1,4] => 934
[1,2,4,3,9,8,7,6,5] => 00101111 => [2,1,1,4] => 534
[1,2,3,4,9,8,7,6,5] => 00001111 => [4,4] => 70
[1,5,4,3,2,9,8,7,6] => 01110111 => [1,3,1,3] => 676
[2,1,5,4,3,9,8,7,6] => 10110111 => [1,1,2,1,3] => 1626
[1,2,5,4,3,9,8,7,6] => 00110111 => [2,2,1,3] => 934
[1,3,2,5,4,9,8,7,6] => 01010111 => [1,1,1,1,1,3] => 2790
[1,2,3,5,4,9,8,7,6] => 00010111 => [3,1,1,3] => 676
[1,2,3,4,5,9,8,7,6] => 00000111 => [5,3] => 56
[1,3,2,6,5,4,9,8,7] => 01011011 => [1,1,1,2,1,2] => 3790
[1,2,3,6,5,4,9,8,7] => 00011011 => [3,2,1,2] => 924
[2,1,4,3,6,5,9,8,7] => 10101011 => [1,1,1,1,1,1,2] => 6344
[1,2,4,3,6,5,9,8,7] => 00101011 => [2,1,1,1,1,2] => 3696
[1,2,3,4,6,5,9,8,7] => 00001011 => [4,1,1,2] => 526
[1,2,3,5,4,7,6,9,8] => 00010101 => [3,1,1,1,1,1] => 2592
[1,2,3,4,5,7,6,9,8] => 00000101 => [5,1,1,1] => 240
[5,2,7,4,1,6,3,8] => 1011010 => [1,1,2,1,1,1] => 984
[4,7,3,1,5,6,2,8] => 0110010 => [1,2,2,1,1] => 594
[5,8,3,4,1,6,7,2] => 0101001 => [1,1,1,1,2,1] => 1023
[1,7,8,4,5,6,2,3] => 0010010 => [2,1,2,1,1] => 594
[1,5,8,4,2,6,7,3] => 0011001 => [2,2,2,1] => 357
[1,6,3,8,5,2,7,4] => 0101101 => [1,1,1,2,1,1] => 1006
[6,2,3,7,5,1,4,8] => 1001100 => [1,2,2,2] => 363
[1,7,3,4,8,6,2,5] => 0100110 => [1,1,2,2,1] => 611
[8,7,3,2,1,6,5,4] => 1111011 => [4,1,2] => 85
[8,7,6,3,1,5,2,4] => 1111010 => [4,1,1,1] => 145
[8,5,1,7,2,3,4,6] => 1101000 => [2,1,1,3] => 262
[9,8,7,6,5,2,1,4,3] => 11111101 => [6,1,1] => 50
[9,8,7,3,2,1,6,5,4] => 11111011 => [5,1,2] => 138
[9,8,7,6,3,1,5,2,4] => 11111010 => [5,1,1,1] => 240
[9,4,3,2,1,8,7,6,5] => 11110111 => [4,1,3] => 220
[9,8,4,3,1,7,6,2,5] => 11110110 => [4,1,2,1] => 526
[9,8,7,2,1,4,3,6,5] => 11110101 => [4,1,1,1,1] => 888
[9,8,7,4,1,6,2,3,5] => 11110100 => [4,1,1,2] => 526
[5,4,3,1,9,8,7,2,6] => 11101110 => [3,1,3,1] => 676
[9,5,2,1,8,4,3,7,6] => 11101101 => [3,1,2,1,1] => 1560
[9,8,3,1,5,2,7,4,6] => 11101010 => [3,1,1,1,1,1] => 2592
[6,3,1,9,5,2,8,4,7] => 11011010 => [2,1,2,1,1,1] => 3588
[6,5,1,9,8,2,3,4,7] => 11011000 => [2,1,2,3] => 946
[9,2,1,4,3,6,5,8,7] => 11010101 => [2,1,1,1,1,1,1] => 5976
[9,6,1,8,2,3,4,5,7] => 11010000 => [2,1,1,4] => 534
[5,1,7,2,9,3,4,6,8] => 10101000 => [1,1,1,1,1,3] => 2790
[7,1,9,2,3,4,5,6,8] => 10100000 => [1,1,1,5] => 244
[2,4,8,5,3,7,1,6] => 0011010 => [2,2,1,1,1] => 582
[2,4,1,8,5,3,7,6] => 0101101 => [1,1,1,2,1,1] => 1006
[2,4,8,6,3,1,7,5] => 0011101 => [2,3,1,1] => 256
[3,4,6,8,2,1,7,5] => 0001101 => [3,2,1,1] => 256
[3,4,1,5,8,2,7,6] => 0100101 => [1,1,2,1,1,1] => 984
[8,1,4,5,3,2,7,6] => 1001101 => [1,2,2,1,1] => 594
[3,4,1,5,2,8,7,6] => 0101011 => [1,1,1,1,1,2] => 1023
[3,4,6,2,1,8,7,5] => 0011011 => [2,2,1,2] => 357
[3,5,6,2,1,7,8,4] => 0011001 => [2,2,2,1] => 357
[3,4,6,2,7,8,1,5] => 0010010 => [2,1,2,1,1] => 594
[8,1,4,6,3,7,2,5] => 1001010 => [1,2,1,1,1,1] => 969
[8,1,4,6,3,7,5,2] => 1001011 => [1,2,1,1,2] => 603
[3,5,6,2,1,7,4,8] => 0011010 => [2,2,1,1,1] => 582
[8,1,5,6,7,3,4,2] => 1000101 => [1,3,1,1,1] => 427
[8,1,5,6,7,3,2,4] => 1000110 => [1,3,2,1] => 259
[3,4,1,6,8,7,2,5] => 0100110 => [1,1,2,2,1] => 611
[3,5,6,1,8,7,2,4] => 0010110 => [2,1,1,2,1] => 603
[2,1,3,8,6,7,4,5] => 1001010 => [1,2,1,1,1,1] => 969
[8,1,3,2,6,7,5,4] => 1010011 => [1,1,1,2,2] => 622
[2,3,8,6,7,1,5,4] => 0010101 => [2,1,1,1,1,1] => 969
[2,4,1,8,6,7,5,3] => 0101011 => [1,1,1,1,1,2] => 1023
[2,5,8,6,1,7,4,3] => 0011011 => [2,2,1,2] => 357
[3,5,6,1,8,7,4,2] => 0010111 => [2,1,1,3] => 262
[3,4,1,6,8,7,5,2] => 0100111 => [1,1,2,3] => 265
[3,4,6,8,7,1,5,2] => 0001101 => [3,2,1,1] => 256
[8,1,4,6,2,7,5,3] => 1001011 => [1,2,1,1,2] => 603
[3,5,1,6,7,8,4,2] => 0100011 => [1,1,3,2] => 265
[4,5,6,1,7,8,3,2] => 0010011 => [2,1,2,2] => 363
[4,5,6,1,7,3,8,2] => 0010101 => [2,1,1,1,1,1] => 969
[3,5,1,6,7,4,8,2] => 0100101 => [1,1,2,1,1,1] => 984
[8,1,5,6,7,4,2,3] => 1000110 => [1,3,2,1] => 259
[8,1,5,6,7,4,3,2] => 1000111 => [1,3,3] => 110
[3,5,1,6,7,4,2,8] => 0100110 => [1,1,2,2,1] => 611
[4,5,6,1,7,3,2,8] => 0010110 => [2,1,1,2,1] => 603
[6,5,8,7,4,3,1,2] => 1011110 => [1,1,4,1] => 148
[6,4,2,7,8,5,1,3] => 1100110 => [2,2,2,1] => 357
[6,1,4,8,7,5,2,3] => 1001110 => [1,2,3,1] => 262
[1,6,4,8,7,5,2,3] => 0101110 => [1,1,1,3,1] => 450
[1,8,6,2,4,7,3,5] => 0110010 => [1,2,2,1,1] => 594
[8,1,6,2,4,7,3,5] => 1010010 => [1,1,1,2,1,1] => 1006
[7,6,2,1,4,8,3,5] => 1110010 => [3,2,1,1] => 256
[6,4,1,7,8,5,2,3] => 1100110 => [2,2,2,1] => 357
[7,6,1,2,4,8,3,5] => 1100010 => [2,3,1,1] => 256
[7,6,1,3,4,8,2,5] => 1100010 => [2,3,1,1] => 256
[8,1,6,3,4,7,2,5] => 1010010 => [1,1,1,2,1,1] => 1006
[1,8,6,3,4,7,2,5] => 0110010 => [1,2,2,1,1] => 594
[1,7,2,5,4,8,3,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[7,1,2,5,4,8,3,6] => 1001010 => [1,2,1,1,1,1] => 969
[2,7,1,5,4,8,3,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,8,6,3,4,7,1,5] => 0110010 => [1,2,2,1,1] => 594
[2,8,6,1,4,7,3,5] => 0110010 => [1,2,2,1,1] => 594
[7,2,1,5,4,8,3,6] => 1101010 => [2,1,1,1,1,1] => 969
[1,2,7,5,4,8,3,6] => 0011010 => [2,2,1,1,1] => 582
[3,2,7,5,4,8,1,6] => 1011010 => [1,1,2,1,1,1] => 984
[2,5,8,4,7,3,1,6] => 0010110 => [2,1,1,2,1] => 603
[2,3,7,5,4,8,1,6] => 0011010 => [2,2,1,1,1] => 582
[6,8,3,2,4,7,1,5] => 0110010 => [1,2,2,1,1] => 594
[3,7,2,5,4,8,1,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,1,7,5,4,8,2,6] => 1011010 => [1,1,2,1,1,1] => 984
[1,3,7,5,4,8,2,6] => 0011010 => [2,2,1,1,1] => 582
[1,5,8,4,7,3,2,6] => 0010110 => [2,1,1,2,1] => 603
[5,1,8,4,7,3,2,6] => 1010110 => [1,1,1,1,2,1] => 1023
[5,8,2,4,7,3,1,6] => 0100110 => [1,1,2,2,1] => 611
[6,8,4,3,7,5,1,2] => 0110110 => [1,2,1,2,1] => 603
[8,7,5,6,2,1,4,3] => 1101101 => [2,1,2,1,1] => 594
[8,5,2,4,7,3,1,6] => 1100110 => [2,2,2,1] => 357
[8,1,5,4,7,3,2,6] => 1010110 => [1,1,1,1,2,1] => 1023
[1,8,5,4,7,3,2,6] => 0110110 => [1,2,1,2,1] => 603
[1,7,3,5,4,8,2,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[8,6,3,1,4,7,2,5] => 1110010 => [3,2,1,1] => 256
[8,6,4,2,7,5,1,3] => 1110110 => [3,1,2,1] => 259
[8,6,4,1,7,2,5,3] => 1110101 => [3,1,1,1,1] => 427
[5,3,7,4,6,8,2,1] => 1010011 => [1,1,1,2,2] => 622
[4,1,3,2,7,8,5,6] => 1010010 => [1,1,1,2,1,1] => 1006
[1,4,3,2,7,8,5,6] => 0110010 => [1,2,2,1,1] => 594
[2,4,3,1,7,8,5,6] => 0110010 => [1,2,2,1,1] => 594
[2,7,3,5,4,8,1,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,8,5,4,7,3,1,6] => 0110110 => [1,2,1,2,1] => 603
[5,7,3,4,6,8,2,1] => 0100011 => [1,1,3,2] => 265
[8,2,5,4,7,3,1,6] => 1010110 => [1,1,1,1,2,1] => 1023
[7,2,3,5,4,8,1,6] => 1001010 => [1,2,1,1,1,1] => 969
[3,2,1,4,7,8,5,6] => 1100010 => [2,3,1,1] => 256
[8,1,7,6,4,3,5,2] => 1011101 => [1,1,3,1,1] => 439
[8,6,4,5,2,7,1,3] => 1101010 => [2,1,1,1,1,1] => 969
[7,1,8,6,4,3,5,2] => 1011101 => [1,1,3,1,1] => 439
[7,4,2,5,1,6,3,8] => 1101010 => [2,1,1,1,1,1] => 969
[7,3,6,5,2,1,4,8] => 1011100 => [1,1,3,2] => 265
[8,3,6,5,2,1,7,4] => 1011101 => [1,1,3,1,1] => 439
[7,3,6,5,2,1,8,4] => 1011101 => [1,1,3,1,1] => 439
[7,5,8,6,4,2,1,3] => 1011110 => [1,1,4,1] => 148
[5,4,2,8,1,3,7,6] => 1101001 => [2,1,1,2,1] => 603
[5,8,2,6,4,1,3,7] => 0101100 => [1,1,1,2,2] => 622
[6,4,2,5,1,8,3,7] => 1101010 => [2,1,1,1,1,1] => 969
[6,3,5,2,1,4,7,8] => 1011000 => [1,1,2,3] => 265
[2,5,8,6,3,1,4,7] => 0011100 => [2,3,2] => 153
[2,3,5,8,1,4,7,6] => 0001001 => [3,1,2,1] => 259
[2,3,6,8,1,5,7,4] => 0001001 => [3,1,2,1] => 259
[6,3,8,5,2,7,1,4] => 1011010 => [1,1,2,1,1,1] => 984
[6,3,7,5,2,1,4,8] => 1011100 => [1,1,3,2] => 265
[2,5,7,6,3,1,4,8] => 0011100 => [2,3,2] => 153
[2,8,7,6,3,1,5,4] => 0111101 => [1,4,1,1] => 145
[2,5,8,7,6,3,1,4] => 0011110 => [2,4,1] => 85
[2,4,8,1,6,5,7,3] => 0010101 => [2,1,1,1,1,1] => 969
[2,8,7,3,6,1,4,5] => 0110100 => [1,2,1,1,2] => 603
[7,3,5,2,1,4,6,8] => 1011000 => [1,1,2,3] => 265
[8,4,2,5,1,3,7,6] => 1101001 => [2,1,1,2,1] => 603
[2,3,6,8,1,4,7,5] => 0001001 => [3,1,2,1] => 259
[2,7,8,6,3,1,4,5] => 0011100 => [2,3,2] => 153
[7,3,8,5,2,1,4,6] => 1011100 => [1,1,3,2] => 265
[2,3,6,1,8,4,7,5] => 0010101 => [2,1,1,1,1,1] => 969
[2,8,6,3,1,4,5,7] => 0111000 => [1,3,3] => 110
[8,3,5,2,1,4,6,7] => 1011000 => [1,1,2,3] => 265
[2,4,8,1,3,7,5,6] => 0010010 => [2,1,2,1,1] => 594
[2,5,8,1,7,3,6,4] => 0010101 => [2,1,1,1,1,1] => 969
[3,8,6,1,4,7,5,2] => 0110011 => [1,2,2,2] => 363
[2,7,1,5,8,3,4,6] => 0100100 => [1,1,2,1,2] => 611
[3,7,5,8,1,2,6,4] => 0101001 => [1,1,1,1,2,1] => 1023
[7,3,6,1,2,8,4,5] => 1010010 => [1,1,1,2,1,1] => 1006
[7,4,8,1,6,5,2,3] => 1010110 => [1,1,1,1,2,1] => 1023
[7,4,5,8,6,1,2,3] => 1001100 => [1,2,2,2] => 363
[6,8,4,5,1,7,2,3] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,1,8,7,6,2,3,4] => 1011100 => [1,1,3,2] => 265
[8,5,1,6,2,7,3,4] => 1101010 => [2,1,1,1,1,1] => 969
[4,6,1,8,7,5,2,3] => 0101110 => [1,1,1,3,1] => 450
[4,5,1,8,7,2,3,6] => 0101100 => [1,1,1,2,2] => 622
[3,4,8,7,1,2,5,6] => 0011000 => [2,2,3] => 153
[6,4,8,7,1,2,5,3] => 1011001 => [1,1,2,2,1] => 611
[6,5,1,2,7,3,8,4] => 1100101 => [2,2,1,1,1] => 582
[6,5,1,8,2,7,3,4] => 1101010 => [2,1,1,1,1,1] => 969
[6,5,1,7,2,8,3,4] => 1101010 => [2,1,1,1,1,1] => 969
[6,5,1,7,2,3,8,4] => 1101001 => [2,1,1,2,1] => 603
[5,6,8,7,4,1,2,3] => 0011100 => [2,3,2] => 153
[6,8,5,7,4,1,2,3] => 0101100 => [1,1,1,2,2] => 622
[7,3,8,1,5,2,4,6] => 1010100 => [1,1,1,1,1,2] => 1023
[4,1,7,5,3,6,2,8] => 1011010 => [1,1,2,1,1,1] => 984
[1,8,4,2,3,6,7,5] => 0110001 => [1,2,3,1] => 262
[2,5,8,3,4,6,7,1] => 0010001 => [2,1,3,1] => 262
[4,1,7,2,3,6,8,5] => 1010001 => [1,1,1,3,1] => 450
[4,6,2,1,5,7,8,3] => 0110001 => [1,2,3,1] => 262
[4,5,2,3,1,7,8,6] => 0101001 => [1,1,1,1,2,1] => 1023
[3,2,6,7,4,1,8,5] => 1001101 => [1,2,2,1,1] => 594
[5,6,2,7,1,4,8,3] => 0101001 => [1,1,1,1,2,1] => 1023
[6,2,3,8,1,7,4,5] => 1001010 => [1,2,1,1,1,1] => 969
[2,6,8,3,4,7,1,5] => 0010010 => [2,1,2,1,1] => 594
[4,6,2,7,5,1,3,8] => 0101100 => [1,1,1,2,2] => 622
[2,6,3,1,8,4,5,7] => 0110100 => [1,2,1,1,2] => 603
[2,4,3,7,8,1,5,6] => 0100100 => [1,1,2,1,2] => 611
[5,3,2,7,4,8,1,6] => 1101010 => [2,1,1,1,1,1] => 969
[5,1,2,7,6,8,4,3] => 1001011 => [1,2,1,1,2] => 603
[2,6,3,1,8,7,4,5] => 0110110 => [1,2,1,2,1] => 603
[3,5,6,4,7,8,1,2] => 0010010 => [2,1,2,1,1] => 594
[5,3,6,4,2,8,7,1] => 1011011 => [1,1,2,1,2] => 611
[5,4,2,3,7,8,6,1] => 1100011 => [2,3,2] => 153
[4,1,8,2,5,7,3,6] => 1010010 => [1,1,1,2,1,1] => 1006
[3,1,8,4,7,2,5,6] => 1010100 => [1,1,1,1,1,2] => 1023
[6,2,3,8,4,1,7,5] => 1001101 => [1,2,2,1,1] => 594
[2,6,4,1,5,3,8,7] => 0110101 => [1,2,1,1,1,1] => 969
[3,2,7,6,4,1,8,5] => 1011101 => [1,1,3,1,1] => 439
[2,5,4,1,7,6,8,3] => 0110101 => [1,2,1,1,1,1] => 969
[6,2,1,4,7,8,3,5] => 1100010 => [2,3,1,1] => 256
[2,6,5,1,7,8,3,4] => 0110010 => [1,2,2,1,1] => 594
[4,7,5,2,1,6,3,8] => 0111010 => [1,3,1,1,1] => 427
[4,2,3,7,8,1,6,5] => 1000101 => [1,3,1,1,1] => 427
[5,8,3,1,7,2,4,6] => 0110100 => [1,2,1,1,2] => 603
[6,8,3,1,5,2,4,7] => 0110100 => [1,2,1,1,2] => 603
[4,2,7,1,6,3,5,8] => 1010100 => [1,1,1,1,1,2] => 1023
[5,1,7,4,2,6,3,8] => 1011010 => [1,1,2,1,1,1] => 984
[5,8,2,1,4,7,3,6] => 0110010 => [1,2,2,1,1] => 594
[6,8,3,2,5,1,7,4] => 0110101 => [1,2,1,1,1,1] => 969
[6,8,4,3,1,5,7,2] => 0111001 => [1,3,2,1] => 259
[6,8,4,2,1,5,7,3] => 0111001 => [1,3,2,1] => 259
[6,8,3,2,1,4,5,7] => 0111000 => [1,3,3] => 110
[5,1,7,3,2,4,6,8] => 1011000 => [1,1,2,3] => 265
[5,2,1,8,3,6,7,4] => 1101001 => [2,1,1,2,1] => 603
[4,3,8,1,6,2,7,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,2,1,6,5,8,3,7] => 1101010 => [2,1,1,1,1,1] => 969
[4,2,1,8,5,7,3,6] => 1101010 => [2,1,1,1,1,1] => 969
[6,3,2,1,7,4,5,8] => 1110100 => [3,1,1,2] => 259
[6,4,2,1,7,5,3,8] => 1110110 => [3,1,2,1] => 259
[7,5,2,1,8,6,3,4] => 1110110 => [3,1,2,1] => 259
[5,3,2,7,6,1,4,8] => 1101100 => [2,1,2,2] => 363
[5,3,2,8,6,1,4,7] => 1101100 => [2,1,2,2] => 363
[6,3,2,8,7,1,4,5] => 1101100 => [2,1,2,2] => 363
[4,2,8,1,7,3,5,6] => 1010100 => [1,1,1,1,1,2] => 1023
[4,3,8,7,2,1,5,6] => 1011100 => [1,1,3,2] => 265
[2,1,5,8,4,7,3,6] => 1001010 => [1,2,1,1,1,1] => 969
[4,3,2,5,8,1,6,7] => 1100100 => [2,2,1,2] => 357
[4,3,2,5,7,1,6,8] => 1100100 => [2,2,1,2] => 357
[4,3,1,6,2,7,5,8] => 1101010 => [2,1,1,1,1,1] => 969
[5,4,1,7,2,8,6,3] => 1101011 => [2,1,1,1,2] => 603
[6,5,3,1,7,8,4,2] => 1110011 => [3,2,2] => 153
[6,4,2,1,7,8,5,3] => 1110011 => [3,2,2] => 153
[3,2,1,4,8,7,5,6] => 1100110 => [2,2,2,1] => 357
[3,2,1,4,6,8,5,7] => 1100010 => [2,3,1,1] => 256
[5,3,2,1,6,7,8,4] => 1110001 => [3,3,1] => 110
[8,6,1,4,5,7,2,3] => 1100010 => [2,3,1,1] => 256
[3,8,6,4,5,7,1,2] => 0110010 => [1,2,2,1,1] => 594
[5,2,8,3,7,4,6,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,2,8,5,4,7,3,1] => 1011011 => [1,1,2,1,2] => 611
[1,8,6,3,7,4,2,5] => 0110110 => [1,2,1,2,1] => 603
[1,8,6,5,7,2,3,4] => 0110100 => [1,2,1,1,2] => 603
[5,2,8,4,3,6,7,1] => 1011001 => [1,1,2,2,1] => 611
[5,4,2,7,3,6,1,8] => 1101010 => [2,1,1,1,1,1] => 969
[5,4,2,8,3,6,1,7] => 1101010 => [2,1,1,1,1,1] => 969
[6,5,3,8,4,7,2,1] => 1101011 => [2,1,1,1,2] => 603
[5,2,8,4,3,7,1,6] => 1011010 => [1,1,2,1,1,1] => 984
[6,2,8,3,7,4,1,5] => 1010110 => [1,1,1,1,2,1] => 1023
[5,4,2,7,3,1,8,6] => 1101101 => [2,1,2,1,1] => 594
[6,4,3,7,1,2,8,5] => 1101001 => [2,1,1,2,1] => 603
[6,4,3,8,1,2,7,5] => 1101001 => [2,1,1,2,1] => 603
[7,6,3,8,4,2,1,5] => 1101110 => [2,1,3,1] => 262
[7,2,8,5,1,6,3,4] => 1011010 => [1,1,2,1,1,1] => 984
[7,2,8,4,3,1,5,6] => 1011100 => [1,1,3,2] => 265
[7,5,3,8,4,2,6,1] => 1101101 => [2,1,2,1,1] => 594
[6,4,2,7,3,1,5,8] => 1101100 => [2,1,2,2] => 363
[7,6,4,8,2,3,5,1] => 1101001 => [2,1,1,2,1] => 603
[7,6,8,1,2,5,3,4] => 1010010 => [1,1,1,2,1,1] => 1006
[5,3,1,7,8,4,6,2] => 1100101 => [2,2,1,1,1] => 582
[5,3,2,7,8,4,6,1] => 1100101 => [2,2,1,1,1] => 582
[5,4,1,6,3,8,7,2] => 1101011 => [2,1,1,1,2] => 603
[6,5,1,7,8,2,3,4] => 1100100 => [2,2,1,2] => 357
[6,3,1,7,8,4,2,5] => 1100110 => [2,2,2,1] => 357
[5,4,1,7,3,8,2,6] => 1101010 => [2,1,1,1,1,1] => 969
[6,3,2,7,8,4,1,5] => 1100110 => [2,2,2,1] => 357
[6,1,5,4,3,2,8,7] => 1011101 => [1,1,3,1,1] => 439
[8,7,6,1,3,5,2,4] => 1110010 => [3,2,1,1] => 256
[8,1,6,5,7,3,4,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,4,1,5,7,6,2,3] => 1100110 => [2,2,2,1] => 357
[7,8,6,2,5,3,1,4] => 0110110 => [1,2,1,2,1] => 603
[6,1,3,5,2,8,4,7] => 1001010 => [1,2,1,1,1,1] => 969
[8,1,3,7,4,2,5,6] => 1001100 => [1,2,2,2] => 363
[4,3,8,7,5,2,1,6] => 1011110 => [1,1,4,1] => 148
[6,7,1,8,5,3,4,2] => 0101101 => [1,1,1,2,1,1] => 1006
[2,7,6,4,8,3,5,1] => 0110101 => [1,2,1,1,1,1] => 969
[6,5,2,7,1,4,8,3] => 1101001 => [2,1,1,2,1] => 603
[7,4,6,1,3,2,8,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,5,2,1,3,8,4,6] => 1110010 => [3,2,1,1] => 256
[8,4,7,6,3,1,5,2] => 1011101 => [1,1,3,1,1] => 439
[7,4,1,5,6,3,8,2] => 1100101 => [2,2,1,1,1] => 582
[3,4,7,5,6,1,8,2] => 0010101 => [2,1,1,1,1,1] => 969
[2,4,7,5,6,3,8,1] => 0010101 => [2,1,1,1,1,1] => 969
[5,4,1,7,6,2,8,3] => 1101101 => [2,1,2,1,1] => 594
[3,5,6,7,1,4,8,2] => 0001001 => [3,1,2,1] => 259
[2,7,6,1,3,4,8,5] => 0110001 => [1,2,3,1] => 262
[5,7,2,1,6,3,8,4] => 0110101 => [1,2,1,1,1,1] => 969
[4,7,2,5,6,3,8,1] => 0100101 => [1,1,2,1,1,1] => 984
[8,6,2,5,7,1,4,3] => 1100101 => [2,2,1,1,1] => 582
[2,7,4,5,3,8,1,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[6,8,7,1,3,2,5,4] => 0110101 => [1,2,1,1,1,1] => 969
[2,8,6,5,7,1,4,3] => 0110101 => [1,2,1,1,1,1] => 969
[5,8,4,3,2,6,7,1] => 0111001 => [1,3,2,1] => 259
[1,8,5,6,2,4,7,3] => 0101001 => [1,1,1,1,2,1] => 1023
[8,1,5,6,2,4,7,3] => 1001001 => [1,2,1,2,1] => 603
[6,4,8,1,3,2,7,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[1,4,5,2,8,6,7,3] => 0010101 => [2,1,1,1,1,1] => 969
[2,3,1,7,8,6,4,5] => 0100110 => [1,1,2,2,1] => 611
[3,5,7,6,2,8,1,4] => 0011010 => [2,2,1,1,1] => 582
[4,5,6,1,2,8,7,3] => 0010011 => [2,1,2,2] => 363
[5,4,1,2,8,6,7,3] => 1100101 => [2,2,1,1,1] => 582
[8,4,5,2,1,6,7,3] => 1011001 => [1,1,2,2,1] => 611
[3,1,2,6,8,4,7,5] => 1000101 => [1,3,1,1,1] => 427
[5,1,3,2,7,8,4,6] => 1010010 => [1,1,1,2,1,1] => 1006
[1,5,4,2,7,8,3,6] => 0110010 => [1,2,2,1,1] => 594
[4,6,7,8,3,1,5,2] => 0001101 => [3,2,1,1] => 256
[7,6,2,8,4,3,1,5] => 1101110 => [2,1,3,1] => 262
[5,2,8,6,3,4,7,1] => 1011001 => [1,1,2,2,1] => 611
[5,6,8,4,3,2,7,1] => 0011101 => [2,3,1,1] => 256
[5,3,8,1,7,2,4,6] => 1010100 => [1,1,1,1,1,2] => 1023
[3,6,7,8,4,2,1,5] => 0001110 => [3,3,1] => 110
[6,5,1,8,4,3,7,2] => 1101101 => [2,1,2,1,1] => 594
[6,3,8,4,2,1,7,5] => 1011101 => [1,1,3,1,1] => 439
[2,5,8,3,1,6,7,4] => 0011001 => [2,2,2,1] => 357
[3,5,8,1,2,6,7,4] => 0010001 => [2,1,3,1] => 262
[3,2,8,1,5,6,7,4] => 1010001 => [1,1,1,3,1] => 450
[1,5,8,3,2,6,7,4] => 0011001 => [2,2,2,1] => 357
[1,3,8,6,2,4,7,5] => 0011001 => [2,2,2,1] => 357
[3,2,7,8,4,6,1,5] => 1001010 => [1,2,1,1,1,1] => 969
[5,1,8,3,4,6,7,2] => 1010001 => [1,1,1,3,1] => 450
[4,8,7,2,1,6,3,5] => 0111010 => [1,3,1,1,1] => 427
[2,8,1,6,3,4,7,5] => 0101001 => [1,1,1,1,2,1] => 1023
[8,3,4,2,1,6,5,7] => 1011010 => [1,1,2,1,1,1] => 984
[6,4,7,2,5,8,1,3] => 1010010 => [1,1,1,2,1,1] => 1006
[8,4,5,2,6,3,1,7] => 1010110 => [1,1,1,1,2,1] => 1023
[2,4,5,8,3,6,1,7] => 0001010 => [3,1,1,1,1] => 427
[3,5,8,1,2,6,4,7] => 0010010 => [2,1,2,1,1] => 594
[8,6,1,3,5,2,4,7] => 1100100 => [2,2,1,2] => 357
[8,5,1,2,6,4,3,7] => 1100110 => [2,2,2,1] => 357
[5,8,6,1,3,4,2,7] => 0110010 => [1,2,2,1,1] => 594
[5,8,4,6,1,3,2,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[7,3,4,5,2,8,1,6] => 1001010 => [1,2,1,1,1,1] => 969
[5,7,4,3,6,1,8,2] => 0110101 => [1,2,1,1,1,1] => 969
[2,6,4,3,7,8,5,1] => 0110011 => [1,2,2,2] => 363
[7,4,1,8,3,2,5,6] => 1101100 => [2,1,2,2] => 363
[6,2,1,7,8,4,5,3] => 1100101 => [2,2,1,1,1] => 582
[7,6,3,1,5,4,8,2] => 1110101 => [3,1,1,1,1] => 427
[2,4,6,5,1,7,8,3] => 0011001 => [2,2,2,1] => 357
[1,4,7,5,6,8,2,3] => 0010010 => [2,1,2,1,1] => 594
[1,4,7,6,5,8,2,3] => 0011010 => [2,2,1,1,1] => 582
[3,7,5,2,4,6,8,1] => 0110001 => [1,2,3,1] => 262
[5,6,1,7,4,2,8,3] => 0101101 => [1,1,1,2,1,1] => 1006
[3,7,4,8,1,2,6,5] => 0101001 => [1,1,1,1,2,1] => 1023
[6,3,5,7,8,1,4,2] => 1000101 => [1,3,1,1,1] => 427
[3,6,5,7,1,8,4,2] => 0101011 => [1,1,1,1,1,2] => 1023
[6,4,7,8,2,1,3,5] => 1001100 => [1,2,2,2] => 363
[6,7,3,8,4,1,2,5] => 0101100 => [1,1,1,2,2] => 622
[2,7,8,3,4,6,1,5] => 0010010 => [2,1,2,1,1] => 594
[7,5,8,4,1,3,2,6] => 1011010 => [1,1,2,1,1,1] => 984
[4,7,5,8,3,1,2,6] => 0101100 => [1,1,1,2,2] => 622
[3,6,7,4,8,1,2,5] => 0010100 => [2,1,1,1,2] => 603
[5,7,3,1,6,8,4,2] => 0110011 => [1,2,2,2] => 363
[2,7,3,1,8,6,4,5] => 0110110 => [1,2,1,2,1] => 603
[2,8,4,3,1,5,7,6] => 0111001 => [1,3,2,1] => 259
[4,8,1,2,3,5,7,6] => 0100001 => [1,1,4,1] => 148
[7,6,8,1,2,4,3,5] => 1010010 => [1,1,1,2,1,1] => 1006
[7,6,8,5,1,3,2,4] => 1011010 => [1,1,2,1,1,1] => 984
[2,8,5,4,6,1,7,3] => 0110101 => [1,2,1,1,1,1] => 969
[8,4,5,2,7,6,1,3] => 1010110 => [1,1,1,1,2,1] => 1023
[8,7,6,4,1,2,5,3] => 1111001 => [4,2,1] => 85
[6,7,1,3,5,2,8,4] => 0100101 => [1,1,2,1,1,1] => 984
[5,7,2,3,6,8,1,4] => 0100010 => [1,1,3,1,1] => 439
[8,5,3,2,7,6,1,4] => 1110110 => [3,1,2,1] => 259
[3,4,6,7,5,8,1,2] => 0001010 => [3,1,1,1,1] => 427
[3,4,5,7,6,1,8,2] => 0001101 => [3,2,1,1] => 256
[2,6,4,5,7,8,3,1] => 0100011 => [1,1,3,2] => 265
[3,8,5,1,6,2,7,4] => 0110101 => [1,2,1,1,1,1] => 969
[2,5,1,3,6,8,7,4] => 0100011 => [1,1,3,2] => 265
[5,4,6,1,3,7,8,2] => 1010001 => [1,1,1,3,1] => 450
[6,3,5,7,1,4,8,2] => 1001001 => [1,2,1,2,1] => 603
[7,3,4,6,8,1,5,2] => 1000101 => [1,3,1,1,1] => 427
[7,5,2,8,4,1,3,6] => 1101100 => [2,1,2,2] => 363
[3,7,6,4,1,8,2,5] => 0111010 => [1,3,1,1,1] => 427
[3,7,8,4,1,5,6,2] => 0011001 => [2,2,2,1] => 357
[8,7,5,4,2,1,6,3] => 1111101 => [5,1,1] => 37
[3,5,8,6,7,4,2,1] => 0010111 => [2,1,1,3] => 262
[5,8,1,6,7,3,4,2] => 0100101 => [1,1,2,1,1,1] => 984
[6,7,2,5,1,8,4,3] => 0101011 => [1,1,1,1,1,2] => 1023
[5,8,2,1,6,7,4,3] => 0110011 => [1,2,2,2] => 363
[4,5,2,8,6,3,7,1] => 0101101 => [1,1,1,2,1,1] => 1006
[3,6,1,2,5,8,4,7] => 0100010 => [1,1,3,1,1] => 439
[1,4,5,8,2,3,7,6] => 0001001 => [3,1,2,1] => 259
[1,2,6,4,5,8,3,7] => 0010010 => [2,1,2,1,1] => 594
[1,5,2,4,6,8,3,7] => 0100010 => [1,1,3,1,1] => 439
[3,6,1,5,8,2,4,7] => 0100100 => [1,1,2,1,2] => 611
[2,6,5,1,4,8,3,7] => 0110010 => [1,2,2,1,1] => 594
[5,2,6,1,4,8,3,7] => 1010010 => [1,1,1,2,1,1] => 1006
[2,5,1,8,4,7,3,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,7,1,4,3,6,8,5] => 0101001 => [1,1,1,1,2,1] => 1023
[1,3,7,5,8,2,4,6] => 0010100 => [2,1,1,1,2] => 603
[8,2,1,5,7,3,4,6] => 1100100 => [2,2,1,2] => 357
[2,5,4,8,1,3,7,6] => 0101001 => [1,1,1,1,2,1] => 1023
[2,4,1,3,8,6,7,5] => 0100101 => [1,1,2,1,1,1] => 984
[8,4,3,7,1,2,6,5] => 1101001 => [2,1,1,2,1] => 603
[1,7,3,5,8,2,6,4] => 0100101 => [1,1,2,1,1,1] => 984
[1,8,4,2,6,7,3,5] => 0110010 => [1,2,2,1,1] => 594
[3,1,6,8,7,2,4,5] => 1001100 => [1,2,2,2] => 363
[7,2,1,6,8,3,4,5] => 1100100 => [2,2,1,2] => 357
[3,1,7,6,8,2,4,5] => 1010100 => [1,1,1,1,1,2] => 1023
[4,1,7,2,6,8,3,5] => 1010010 => [1,1,1,2,1,1] => 1006
[5,1,7,2,3,6,8,4] => 1010001 => [1,1,1,3,1] => 450
[7,2,1,6,3,5,8,4] => 1101001 => [2,1,1,2,1] => 603
[2,6,1,7,3,5,8,4] => 0101001 => [1,1,1,1,2,1] => 1023
[7,1,2,5,3,6,8,4] => 1001001 => [1,2,1,2,1] => 603
[5,4,1,2,7,8,3,6] => 1100010 => [2,3,1,1] => 256
[8,1,3,2,4,6,7,5] => 1010001 => [1,1,1,3,1] => 450
[7,3,1,2,4,6,8,5] => 1100001 => [2,4,1] => 85
[1,8,3,4,7,2,5,6] => 0100100 => [1,1,2,1,2] => 611
[3,5,8,1,2,7,4,6] => 0010010 => [2,1,2,1,1] => 594
[3,6,8,1,2,4,7,5] => 0010001 => [2,1,3,1] => 262
[4,1,3,8,7,2,6,5] => 1001101 => [1,2,2,1,1] => 594
[1,3,7,4,8,2,6,5] => 0010101 => [2,1,1,1,1,1] => 969
[1,4,6,8,2,3,7,5] => 0001001 => [3,1,2,1] => 259
[3,5,8,1,7,2,4,6] => 0010100 => [2,1,1,1,2] => 603
[2,6,8,1,7,3,4,5] => 0010100 => [2,1,1,1,2] => 603
[6,1,5,8,2,3,7,4] => 1001001 => [1,2,1,2,1] => 603
[1,8,3,2,7,5,6,4] => 0110101 => [1,2,1,1,1,1] => 969
[3,1,7,2,8,5,6,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[2,6,7,3,8,1,5,4] => 0010101 => [2,1,1,1,1,1] => 969
[8,4,1,7,3,6,2,5] => 1101010 => [2,1,1,1,1,1] => 969
[3,7,2,8,6,1,5,4] => 0101101 => [1,1,1,2,1,1] => 1006
[6,2,3,8,7,1,5,4] => 1001101 => [1,2,2,1,1] => 594
[5,1,7,8,4,2,6,3] => 1001101 => [1,2,2,1,1] => 594
[5,1,8,7,4,2,6,3] => 1011101 => [1,1,3,1,1] => 439
[4,7,2,8,3,6,5,1] => 0101011 => [1,1,1,1,1,2] => 1023
[4,1,7,8,5,3,6,2] => 1001101 => [1,2,2,1,1] => 594
[5,1,7,4,8,3,6,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,1,8,7,5,3,6,2] => 1011101 => [1,1,3,1,1] => 439
[4,8,2,7,3,6,5,1] => 0101011 => [1,1,1,1,1,2] => 1023
[4,7,2,6,3,5,8,1] => 0101001 => [1,1,1,1,2,1] => 1023
[6,8,2,4,3,7,5,1] => 0101011 => [1,1,1,1,1,2] => 1023
[6,7,2,4,3,8,5,1] => 0101011 => [1,1,1,1,1,2] => 1023
[6,8,2,7,3,5,4,1] => 0101011 => [1,1,1,1,1,2] => 1023
[3,8,7,2,4,1,5,6] => 0110100 => [1,2,1,1,2] => 603
[3,7,8,2,4,1,5,6] => 0010100 => [2,1,1,1,2] => 603
[3,6,8,2,4,5,7,1] => 0010001 => [2,1,3,1] => 262
[3,6,7,2,4,5,8,1] => 0010001 => [2,1,3,1] => 262
[6,5,1,4,2,3,8,7] => 1101001 => [2,1,1,2,1] => 603
[8,6,1,7,2,5,4,3] => 1101011 => [2,1,1,1,2] => 603
[8,7,6,1,2,3,5,4] => 1110001 => [3,3,1] => 110
[5,4,3,1,6,2,8,7] => 1110101 => [3,1,1,1,1] => 427
[8,3,4,7,1,6,2,5] => 1001010 => [1,2,1,1,1,1] => 969
[6,3,4,1,8,5,2,7] => 1010110 => [1,1,1,1,2,1] => 1023
[3,8,5,2,7,1,6,4] => 0110101 => [1,2,1,1,1,1] => 969
[2,8,6,7,5,3,4,1] => 0101101 => [1,1,1,2,1,1] => 1006
[2,1,8,7,3,6,4,5] => 1011010 => [1,1,2,1,1,1] => 984
[3,6,5,8,2,4,7,1] => 0101001 => [1,1,1,1,2,1] => 1023
[5,2,1,8,7,3,4,6] => 1101100 => [2,1,2,2] => 363
[6,5,2,7,4,3,8,1] => 1101101 => [2,1,2,1,1] => 594
[4,6,5,2,7,3,8,1] => 0110101 => [1,2,1,1,1,1] => 969
[6,2,7,1,8,3,5,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[2,7,5,4,8,3,6,1] => 0110101 => [1,2,1,1,1,1] => 969
[8,7,5,1,2,6,4,3] => 1110011 => [3,2,2] => 153
[8,4,3,2,7,1,6,5] => 1110101 => [3,1,1,1,1] => 427
[7,1,6,2,3,8,5,4] => 1010011 => [1,1,1,2,2] => 622
[4,8,1,3,2,7,5,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,8,1,4,7,5,2,6] => 0100110 => [1,1,2,2,1] => 611
[6,3,8,7,4,5,1,2] => 1011010 => [1,1,2,1,1,1] => 984
[6,1,4,8,5,2,3,7] => 1001100 => [1,2,2,2] => 363
[8,5,7,4,6,2,1,3] => 1010110 => [1,1,1,1,2,1] => 1023
[4,6,7,8,2,3,5,1] => 0001001 => [3,1,2,1] => 259
[8,7,4,6,2,1,5,3] => 1101101 => [2,1,2,1,1] => 594
[7,6,1,3,5,2,8,4] => 1100101 => [2,2,1,1,1] => 582
[5,8,3,2,4,6,1,7] => 0110010 => [1,2,2,1,1] => 594
[8,2,6,5,3,1,7,4] => 1011101 => [1,1,3,1,1] => 439
[4,8,7,6,5,2,3,1] => 0111101 => [1,4,1,1] => 145
[2,1,8,6,4,3,7,5] => 1011101 => [1,1,3,1,1] => 439
[2,1,7,6,5,3,8,4] => 1011101 => [1,1,3,1,1] => 439
[2,7,6,1,3,5,8,4] => 0110001 => [1,2,3,1] => 262
[7,2,5,4,6,1,8,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,7,6,1,2,5,8,3] => 0110001 => [1,2,3,1] => 262
[2,4,1,7,6,8,5,3] => 0101011 => [1,1,1,1,1,2] => 1023
[3,4,1,7,8,5,6,2] => 0100101 => [1,1,2,1,1,1] => 984
[7,5,4,3,1,8,6,2] => 1111011 => [4,1,2] => 85
[8,5,6,2,7,3,1,4] => 1010110 => [1,1,1,1,2,1] => 1023
[8,4,2,5,6,1,7,3] => 1100101 => [2,2,1,1,1] => 582
[6,3,5,4,1,7,8,2] => 1011001 => [1,1,2,2,1] => 611
[4,1,3,6,7,5,8,2] => 1000101 => [1,3,1,1,1] => 427
[1,7,5,3,8,2,4,6] => 0110100 => [1,2,1,1,2] => 603
[1,7,2,4,5,8,3,6] => 0100010 => [1,1,3,1,1] => 439
[8,2,5,3,1,6,4,7] => 1011010 => [1,1,2,1,1,1] => 984
[1,7,4,5,8,3,2,6] => 0100110 => [1,1,2,2,1] => 611
[2,6,4,7,8,3,5,1] => 0100101 => [1,1,2,1,1,1] => 984
[2,6,4,7,8,3,1,5] => 0100110 => [1,1,2,2,1] => 611
[1,2,6,4,7,8,3,5] => 0010010 => [2,1,2,1,1] => 594
[2,7,4,5,8,1,3,6] => 0100100 => [1,1,2,1,2] => 611
[2,7,5,3,1,8,4,6] => 0111010 => [1,3,1,1,1] => 427
[6,1,4,7,8,3,5,2] => 1000101 => [1,3,1,1,1] => 427
[3,6,4,7,8,1,5,2] => 0100101 => [1,1,2,1,1,1] => 984
[4,3,6,7,1,8,5,2] => 1001011 => [1,2,1,1,2] => 603
[4,3,6,7,1,8,2,5] => 1001010 => [1,2,1,1,1,1] => 969
[3,6,4,7,8,1,2,5] => 0100100 => [1,1,2,1,2] => 611
[2,3,6,4,1,7,8,5] => 0011001 => [2,2,2,1] => 357
[4,7,2,1,5,3,8,6] => 0110101 => [1,2,1,1,1,1] => 969
[3,7,4,5,2,1,8,6] => 0101101 => [1,1,1,2,1,1] => 1006
[1,3,6,4,7,2,8,5] => 0010101 => [2,1,1,1,1,1] => 969
[3,6,4,7,2,8,5,1] => 0101011 => [1,1,1,1,1,2] => 1023
[5,1,3,4,2,7,8,6] => 1001001 => [1,2,1,2,1] => 603
[5,4,2,1,3,7,8,6] => 1110001 => [3,3,1] => 110
[6,1,7,3,8,2,5,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[1,6,7,3,8,2,5,4] => 0010101 => [2,1,1,1,1,1] => 969
[6,1,4,7,8,5,2,3] => 1000110 => [1,3,2,1] => 259
[6,3,2,1,7,8,5,4] => 1110011 => [3,2,2] => 153
[6,2,7,3,1,8,5,4] => 1011011 => [1,1,2,1,2] => 611
[6,2,4,7,8,1,5,3] => 1000101 => [1,3,1,1,1] => 427
[2,6,7,3,1,8,5,4] => 0011011 => [2,2,1,2] => 357
[8,6,5,1,3,2,4,7] => 1110100 => [3,1,1,2] => 259
[6,4,7,8,3,2,5,1] => 1001101 => [1,2,2,1,1] => 594
[3,8,4,7,1,2,5,6] => 0101000 => [1,1,1,1,3] => 450
[8,6,1,2,5,4,3,7] => 1100110 => [2,2,2,1] => 357
[4,8,6,1,5,3,2,7] => 0110110 => [1,2,1,2,1] => 603
[5,8,6,4,1,3,2,7] => 0111010 => [1,3,1,1,1] => 427
[8,3,6,4,5,2,1,7] => 1010110 => [1,1,1,1,2,1] => 1023
[6,8,5,7,4,2,3,1] => 0101101 => [1,1,1,2,1,1] => 1006
[2,3,8,7,1,6,4,5] => 0011010 => [2,2,1,1,1] => 582
[4,3,7,8,1,6,2,5] => 1001010 => [1,2,1,1,1,1] => 969
[3,5,8,7,4,1,2,6] => 0011100 => [2,3,2] => 153
[7,3,8,4,1,2,5,6] => 1011000 => [1,1,2,3] => 265
[4,8,1,2,7,3,5,6] => 0100100 => [1,1,2,1,2] => 611
[6,8,1,2,7,4,5,3] => 0100101 => [1,1,2,1,1,1] => 984
[5,6,8,4,1,3,7,2] => 0011001 => [2,2,2,1] => 357
[8,5,4,7,1,6,3,2] => 1101011 => [2,1,1,1,2] => 603
[2,5,8,7,3,6,4,1] => 0011011 => [2,2,1,2] => 357
[2,4,8,7,5,6,1,3] => 0011010 => [2,2,1,1,1] => 582
[3,7,4,8,5,6,2,1] => 0101011 => [1,1,1,1,1,2] => 1023
[6,4,8,7,5,1,2,3] => 1011100 => [1,1,3,2] => 265
[3,8,5,2,4,6,7,1] => 0110001 => [1,2,3,1] => 262
[5,7,1,8,4,6,2,3] => 0101010 => [1,1,1,1,1,1,1] => 1623
[6,3,8,7,2,1,4,5] => 1011100 => [1,1,3,2] => 265
[2,3,7,8,5,6,1,4] => 0001010 => [3,1,1,1,1] => 427
[3,7,6,8,5,1,2,4] => 0101100 => [1,1,1,2,2] => 622
[2,6,7,8,5,1,3,4] => 0001100 => [3,2,2] => 153
[2,4,7,8,1,6,3,5] => 0001010 => [3,1,1,1,1] => 427
[5,4,7,8,2,6,3,1] => 1001011 => [1,2,1,1,2] => 603
[2,8,3,4,1,5,7,6] => 0101001 => [1,1,1,1,2,1] => 1023
[6,8,3,4,1,2,7,5] => 0101001 => [1,1,1,1,2,1] => 1023
[6,8,7,1,5,2,3,4] => 0110100 => [1,2,1,1,2] => 603
[5,8,3,2,7,6,1,4] => 0110110 => [1,2,1,2,1] => 603
[2,5,3,1,8,6,7,4] => 0110101 => [1,2,1,1,1,1] => 969
[4,5,3,2,8,6,7,1] => 0110101 => [1,2,1,1,1,1] => 969
[3,5,8,6,1,4,7,2] => 0011001 => [2,2,2,1] => 357
[2,8,5,6,1,4,7,3] => 0101001 => [1,1,1,1,2,1] => 1023
[4,8,6,1,5,2,7,3] => 0110101 => [1,2,1,1,1,1] => 969
[5,8,2,3,7,6,1,4] => 0100110 => [1,1,2,2,1] => 611
[4,6,8,5,3,2,7,1] => 0011101 => [2,3,1,1] => 256
[2,6,4,8,5,1,7,3] => 0101101 => [1,1,1,2,1,1] => 1006
[7,6,4,8,5,2,1,3] => 1101110 => [2,1,3,1] => 262
[3,4,8,6,5,2,7,1] => 0011101 => [2,3,1,1] => 256
[3,4,8,7,5,6,2,1] => 0011011 => [2,2,1,2] => 357
[7,5,3,2,8,6,1,4] => 1110110 => [3,1,2,1] => 259
[2,5,1,3,8,6,7,4] => 0100101 => [1,1,2,1,1,1] => 984
[4,5,1,2,8,6,7,3] => 0100101 => [1,1,2,1,1,1] => 984
[5,4,8,1,3,6,7,2] => 1010001 => [1,1,1,3,1] => 450
[8,3,5,4,1,6,7,2] => 1011001 => [1,1,2,2,1] => 611
[7,3,4,8,5,6,1,2] => 1001010 => [1,2,1,1,1,1] => 969
[6,1,5,7,2,4,8,3] => 1001001 => [1,2,1,2,1] => 603
[7,4,5,1,2,3,8,6] => 1010001 => [1,1,1,3,1] => 450
[7,4,3,1,2,8,5,6] => 1110010 => [3,2,1,1] => 256
[8,4,7,6,2,1,5,3] => 1011101 => [1,1,3,1,1] => 439
[8,4,6,5,7,1,3,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,2,1,4,5,8,3,6] => 1100010 => [2,3,1,1] => 256
[7,4,1,6,3,5,8,2] => 1101001 => [2,1,1,2,1] => 603
[3,5,7,6,4,1,8,2] => 0011101 => [2,3,1,1] => 256
[4,7,5,2,1,3,8,6] => 0111001 => [1,3,2,1] => 259
[5,7,2,3,6,4,8,1] => 0100101 => [1,1,2,1,1,1] => 984
[8,6,2,3,7,1,4,5] => 1100100 => [2,2,1,2] => 357
[5,7,2,4,8,3,6,1] => 0100101 => [1,1,2,1,1,1] => 984
[1,7,2,4,8,6,3,5] => 0100110 => [1,1,2,2,1] => 611
[7,6,1,5,4,8,3,2] => 1101011 => [2,1,1,1,2] => 603
[4,7,3,2,1,8,5,6] => 0111010 => [1,3,1,1,1] => 427
[3,1,7,2,5,8,4,6] => 1010010 => [1,1,1,2,1,1] => 1006
[4,8,7,6,1,2,5,3] => 0111001 => [1,3,2,1] => 259
[7,8,6,1,3,2,5,4] => 0110101 => [1,2,1,1,1,1] => 969
[2,8,6,7,4,1,3,5] => 0101100 => [1,1,1,2,2] => 622
[5,8,6,4,2,3,1,7] => 0111010 => [1,3,1,1,1] => 427
[2,8,3,1,6,5,4,7] => 0110110 => [1,2,1,2,1] => 603
[3,8,1,2,5,7,4,6] => 0100010 => [1,1,3,1,1] => 439
[6,8,5,4,2,7,3,1] => 0111011 => [1,3,1,2] => 259
[6,8,3,1,2,4,5,7] => 0110000 => [1,2,4] => 85
[4,6,8,7,3,1,5,2] => 0011101 => [2,3,1,1] => 256
[6,5,3,7,8,4,1,2] => 1100110 => [2,2,2,1] => 357
[4,1,3,8,7,5,6,2] => 1001101 => [1,2,2,1,1] => 594
[6,2,7,4,8,1,3,5] => 1010100 => [1,1,1,1,1,2] => 1023
[8,4,5,2,1,6,3,7] => 1011010 => [1,1,2,1,1,1] => 984
[4,3,2,6,8,1,7,5] => 1100101 => [2,2,1,1,1] => 582
[7,1,5,6,3,8,2,4] => 1001010 => [1,2,1,1,1,1] => 969
[5,1,2,4,7,8,3,6] => 1000010 => [1,4,1,1] => 145
[3,5,4,2,8,1,6,7] => 0110100 => [1,2,1,1,2] => 603
[5,1,3,8,4,2,7,6] => 1001101 => [1,2,2,1,1] => 594
[6,2,8,7,3,5,4,1] => 1011011 => [1,1,2,1,2] => 611
[7,1,8,4,3,6,5,2] => 1011011 => [1,1,2,1,2] => 611
[3,6,8,7,4,1,2,5] => 0011100 => [2,3,2] => 153
[5,6,8,1,7,3,2,4] => 0010110 => [2,1,1,2,1] => 603
[3,1,6,8,7,4,2,5] => 1001110 => [1,2,3,1] => 262
[7,4,6,8,2,1,5,3] => 1001101 => [1,2,2,1,1] => 594
[6,5,8,4,3,1,2,7] => 1011100 => [1,1,3,2] => 265
[2,5,8,3,6,7,4,1] => 0010011 => [2,1,2,2] => 363
[8,5,1,3,7,4,6,2] => 1100101 => [2,2,1,1,1] => 582
[1,5,8,3,7,4,2,6] => 0010110 => [2,1,1,2,1] => 603
[3,8,2,7,1,5,6,4] => 0101001 => [1,1,1,1,2,1] => 1023
[5,8,2,3,6,4,1,7] => 0100110 => [1,1,2,2,1] => 611
[6,8,2,3,4,7,5,1] => 0100011 => [1,1,3,2] => 265
[7,5,1,8,4,2,6,3] => 1101101 => [2,1,2,1,1] => 594
[3,6,8,5,2,7,4,1] => 0011011 => [2,2,1,2] => 357
[2,1,6,5,4,8,3,7] => 1011010 => [1,1,2,1,1,1] => 984
[2,1,7,8,4,6,5,3] => 1001011 => [1,2,1,1,2] => 603
[2,1,7,4,3,5,8,6] => 1011001 => [1,1,2,2,1] => 611
[3,5,7,8,4,6,1,2] => 0001010 => [3,1,1,1,1] => 427
[7,5,2,8,4,6,3,1] => 1101011 => [2,1,1,1,2] => 603
[7,8,2,4,3,1,5,6] => 0101100 => [1,1,1,2,2] => 622
[7,6,3,8,1,5,4,2] => 1101011 => [2,1,1,1,2] => 603
[8,4,3,1,7,5,2,6] => 1110110 => [3,1,2,1] => 259
[7,3,1,4,6,8,5,2] => 1100011 => [2,3,2] => 153
[4,3,8,7,1,6,5,2] => 1011011 => [1,1,2,1,2] => 611
[4,7,1,8,5,2,6,3] => 0101101 => [1,1,1,2,1,1] => 1006
[5,2,4,3,6,8,1,7] => 1010010 => [1,1,1,2,1,1] => 1006
[3,8,6,5,4,1,2,7] => 0111100 => [1,4,2] => 85
[4,7,5,6,3,8,2,1] => 0101011 => [1,1,1,1,1,2] => 1023
[4,2,7,5,8,3,6,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,8,2,7,3,4,6,1] => 0101001 => [1,1,1,1,2,1] => 1023
[6,7,2,4,5,3,8,1] => 0100101 => [1,1,2,1,1,1] => 984
[6,3,2,1,4,8,5,7] => 1110010 => [3,2,1,1] => 256
[6,2,3,1,4,7,8,5] => 1010001 => [1,1,1,3,1] => 450
[5,2,1,3,6,4,8,7] => 1100101 => [2,2,1,1,1] => 582
[7,1,8,3,5,4,6,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,1,2,4,8,5,6,3] => 1000101 => [1,3,1,1,1] => 427
[7,2,1,3,4,5,8,6] => 1100001 => [2,4,1] => 85
[8,7,3,5,4,2,1,6] => 1101110 => [2,1,3,1] => 262
[8,4,6,5,3,2,1,7] => 1011110 => [1,1,4,1] => 148
[5,1,6,4,3,2,8,7] => 1011101 => [1,1,3,1,1] => 439
[8,3,7,1,4,6,5,2] => 1010011 => [1,1,1,2,2] => 622
[2,8,3,6,4,7,5,1] => 0101011 => [1,1,1,1,1,2] => 1023
[6,2,1,7,5,8,3,4] => 1101010 => [2,1,1,1,1,1] => 969
[6,3,8,7,5,2,1,4] => 1011110 => [1,1,4,1] => 148
[6,7,2,1,5,8,4,3] => 0110011 => [1,2,2,2] => 363
[9,1,8,7,6,5,4,3,2] => 10111111 => [1,1,6] => 50
[7,6,8,1,5,4,3,2] => 1010111 => [1,1,1,1,3] => 450
[7,1,9,8,6,5,4,3,2] => 10111111 => [1,1,6] => 50
[6,1,9,8,7,5,4,3,2] => 10111111 => [1,1,6] => 50
[5,4,8,7,6,1,3,2] => 1011101 => [1,1,3,1,1] => 439
[5,1,9,8,7,6,4,3,2] => 10111111 => [1,1,6] => 50
[4,1,9,8,7,6,5,3,2] => 10111111 => [1,1,6] => 50
[3,1,9,8,7,6,5,4,2] => 10111111 => [1,1,6] => 50
[9,8,1,7,6,5,4,3,2] => 11011111 => [2,1,5] => 138
[7,6,1,8,5,4,3,2] => 1101111 => [2,1,4] => 85
[8,7,9,1,6,5,4,3,2] => 10101111 => [1,1,1,1,4] => 934
[6,5,8,1,7,4,3,2] => 1010111 => [1,1,1,1,3] => 450
[7,6,9,8,1,5,4,3,2] => 10110111 => [1,1,2,1,3] => 1626
[6,5,9,8,7,1,4,3,2] => 10111011 => [1,1,3,1,2] => 1608
[6,5,8,7,4,1,3,2] => 1011101 => [1,1,3,1,1] => 439
[5,4,9,8,7,6,1,3,2] => 10111101 => [1,1,4,1,1] => 912
[4,3,9,8,7,6,5,1,2] => 10111110 => [1,1,5,1] => 244
[3,2,9,8,7,6,5,4,1] => 10111111 => [1,1,6] => 50
[1,6,4,8,3,2,5,7] => 0101100 => [1,1,1,2,2] => 622
[1,8,3,5,6,2,4,7] => 0100100 => [1,1,2,1,2] => 611
[1,4,8,5,6,2,3,7] => 0010100 => [2,1,1,1,2] => 603
[1,2,8,5,3,7,4,6] => 0011010 => [2,2,1,1,1] => 582
[6,1,4,8,2,3,5,7] => 1001000 => [1,2,1,3] => 262
[8,7,2,5,6,1,4,3] => 1100101 => [2,2,1,1,1] => 582
[1,8,2,5,4,7,3,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,7,4,1,2,3,8,6] => 0110001 => [1,2,3,1] => 262
[1,7,4,2,5,3,8,6] => 0110101 => [1,2,1,1,1,1] => 969
[6,7,4,2,1,3,8,5] => 0111001 => [1,3,2,1] => 259
[6,4,3,8,5,7,1,2] => 1101010 => [2,1,1,1,1,1] => 969
[7,4,3,6,2,1,5,8] => 1101100 => [2,1,2,2] => 363
[6,8,4,2,3,1,5,7] => 0110100 => [1,2,1,1,2] => 603
[3,7,5,2,4,1,6,8] => 0110100 => [1,2,1,1,2] => 603
[5,2,8,6,1,3,4,7] => 1011000 => [1,1,2,3] => 265
[7,4,8,2,3,1,5,6] => 1010100 => [1,1,1,1,1,2] => 1023
[4,2,7,3,1,5,6,8] => 1011000 => [1,1,2,3] => 265
[7,6,4,5,1,8,2,3] => 1101010 => [2,1,1,1,1,1] => 969
[8,6,4,1,3,7,2,5] => 1110010 => [3,2,1,1] => 256
[5,3,6,1,8,2,4,7] => 1010100 => [1,1,1,1,1,2] => 1023
[3,1,8,5,4,7,6,2] => 1011011 => [1,1,2,1,2] => 611
[4,1,5,8,3,7,6,2] => 1001011 => [1,2,1,1,2] => 603
[4,1,5,3,8,7,6,2] => 1010111 => [1,1,1,1,3] => 450
[4,5,1,8,2,7,6,3] => 0101011 => [1,1,1,1,1,2] => 1023
[4,8,5,3,1,7,6,2] => 0111011 => [1,3,1,2] => 259
[4,5,2,8,1,7,6,3] => 0101011 => [1,1,1,1,1,2] => 1023
[4,5,2,1,8,7,6,3] => 0110111 => [1,2,1,3] => 262
[5,6,2,7,8,1,4,3] => 0100101 => [1,1,2,1,1,1] => 984
[4,6,2,8,7,1,5,3] => 0101101 => [1,1,1,2,1,1] => 1006
[4,8,6,3,7,1,5,2] => 0110101 => [1,2,1,1,1,1] => 969
[4,8,6,3,7,5,1,2] => 0110110 => [1,2,1,2,1] => 603
[4,6,8,2,7,5,1,3] => 0010110 => [2,1,1,2,1] => 603
[4,6,2,8,7,5,1,3] => 0101110 => [1,1,1,3,1] => 450
[5,6,2,7,4,1,8,3] => 0101101 => [1,1,1,2,1,1] => 1006
[5,6,7,2,3,1,8,4] => 0010101 => [2,1,1,1,1,1] => 969
[5,6,7,2,8,3,1,4] => 0010110 => [2,1,1,2,1] => 603
[5,6,7,2,1,8,3,4] => 0011010 => [2,2,1,1,1] => 582
[5,6,7,2,1,3,8,4] => 0011001 => [2,2,2,1] => 357
[5,6,1,7,8,2,4,3] => 0100101 => [1,1,2,1,1,1] => 984
[5,6,1,7,2,4,8,3] => 0101001 => [1,1,1,1,2,1] => 1023
[5,1,6,7,8,3,4,2] => 1000101 => [1,3,1,1,1] => 427
[4,1,6,8,7,3,5,2] => 1001101 => [1,2,2,1,1] => 594
[3,1,8,6,7,5,4,2] => 1010111 => [1,1,1,1,3] => 450
[4,1,6,8,7,5,3,2] => 1001111 => [1,2,4] => 85
[5,1,6,7,4,8,3,2] => 1001011 => [1,2,1,1,2] => 603
[5,6,1,7,8,4,2,3] => 0100110 => [1,1,2,2,1] => 611
[4,6,8,1,7,5,2,3] => 0010110 => [2,1,1,2,1] => 603
[4,8,6,1,7,5,3,2] => 0110111 => [1,2,1,3] => 262
[5,6,7,1,8,3,2,4] => 0010110 => [2,1,1,2,1] => 603
[5,6,7,1,3,8,2,4] => 0010010 => [2,1,2,1,1] => 594
[5,6,7,1,3,2,8,4] => 0010101 => [2,1,1,1,1,1] => 969
[5,6,7,3,1,2,8,4] => 0011001 => [2,2,2,1] => 357
[5,6,7,3,8,1,2,4] => 0010100 => [2,1,1,1,2] => 603
[5,6,8,7,4,2,1,3] => 0011110 => [2,4,1] => 85
[5,6,7,3,8,2,1,4] => 0010110 => [2,1,1,2,1] => 603
[7,4,6,2,3,5,1,8] => 1010010 => [1,1,1,2,1,1] => 1006
[1,4,8,6,3,2,5,7] => 0011100 => [2,3,2] => 153
[7,4,1,6,3,8,5,2] => 1101011 => [2,1,1,1,2] => 603
[7,6,3,1,5,8,4,2] => 1110011 => [3,2,2] => 153
[6,4,2,5,7,3,1,8] => 1100110 => [2,2,2,1] => 357
[4,2,5,7,6,3,1,8] => 1001110 => [1,2,3,1] => 262
[7,4,5,6,1,8,3,2] => 1001011 => [1,2,1,1,2] => 603
[4,1,5,8,6,3,2,7] => 1001110 => [1,2,3,1] => 262
[3,2,7,6,1,8,5,4] => 1011011 => [1,1,2,1,2] => 611
[4,7,5,1,6,8,2,3] => 0110010 => [1,2,2,1,1] => 594
[8,6,5,1,2,7,4,3] => 1110011 => [3,2,2] => 153
[3,2,5,1,4,8,7,6] => 1010011 => [1,1,1,2,2] => 622
[8,5,4,1,3,2,7,6] => 1110101 => [3,1,1,1,1] => 427
[1,4,2,3,6,8,7,5] => 0100011 => [1,1,3,2] => 265
[5,4,8,3,7,1,6,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,7,1,8,2,5,3,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[6,4,1,8,5,3,7,2] => 1101101 => [2,1,2,1,1] => 594
[8,4,6,1,3,5,2,7] => 1010010 => [1,1,1,2,1,1] => 1006
[3,2,5,4,7,8,1,6] => 1010010 => [1,1,1,2,1,1] => 1006
[5,2,4,3,7,8,1,6] => 1010010 => [1,1,1,2,1,1] => 1006
[8,1,6,7,2,5,3,4] => 1001010 => [1,2,1,1,1,1] => 969
[3,1,7,6,5,8,2,4] => 1011010 => [1,1,2,1,1,1] => 984
[1,2,7,5,6,8,3,4] => 0010010 => [2,1,2,1,1] => 594
[6,1,4,7,2,8,3,5] => 1001010 => [1,2,1,1,1,1] => 969
[3,2,1,7,6,8,4,5] => 1101010 => [2,1,1,1,1,1] => 969
[3,2,8,6,4,7,1,5] => 1011010 => [1,1,2,1,1,1] => 984
[7,8,4,6,3,2,1,5] => 0101110 => [1,1,1,3,1] => 450
[1,8,6,5,3,7,2,4] => 0111010 => [1,3,1,1,1] => 427
[8,2,5,3,6,7,1,4] => 1010010 => [1,1,1,2,1,1] => 1006
[3,8,5,2,7,6,1,4] => 0110110 => [1,2,1,2,1] => 603
[4,7,5,3,1,8,6,2] => 0111011 => [1,3,1,2] => 259
[4,5,3,6,8,1,7,2] => 0100101 => [1,1,2,1,1,1] => 984
[3,5,2,6,1,8,7,4] => 0101011 => [1,1,1,1,1,2] => 1023
[1,6,3,5,7,2,8,4] => 0100101 => [1,1,2,1,1,1] => 984
[1,5,4,6,7,8,2,3] => 0100010 => [1,1,3,1,1] => 439
[8,4,6,5,7,2,1,3] => 1010110 => [1,1,1,1,2,1] => 1023
[7,4,5,2,6,8,1,3] => 1010010 => [1,1,1,2,1,1] => 1006
[5,4,2,6,8,7,1,3] => 1100110 => [2,2,2,1] => 357
[7,8,4,3,1,2,6,5] => 0111001 => [1,3,2,1] => 259
[6,5,1,4,3,2,8,7] => 1101101 => [2,1,2,1,1] => 594
[2,6,5,1,4,7,3,8] => 0110010 => [1,2,2,1,1] => 594
[3,6,4,5,2,1,8,7] => 0101101 => [1,1,1,2,1,1] => 1006
[5,7,4,1,3,8,6,2] => 0110011 => [1,2,2,2] => 363
[7,5,4,2,3,8,1,6] => 1110010 => [3,2,1,1] => 256
[5,2,6,7,3,1,4,8] => 1001100 => [1,2,2,2] => 363
[2,4,3,8,6,1,5,7] => 0101100 => [1,1,1,2,2] => 622
[7,8,1,3,5,6,2,4] => 0100010 => [1,1,3,1,1] => 439
[7,8,3,1,5,6,2,4] => 0110010 => [1,2,2,1,1] => 594
[7,1,3,8,5,6,2,4] => 1001010 => [1,2,1,1,1,1] => 969
[1,7,8,3,5,6,2,4] => 0010010 => [2,1,2,1,1] => 594
[5,1,7,8,3,4,6,2] => 1001001 => [1,2,1,2,1] => 603
[1,5,7,8,3,4,6,2] => 0001001 => [3,1,2,1] => 259
[3,7,1,5,8,6,2,4] => 0100110 => [1,1,2,2,1] => 611
[1,3,7,8,2,5,6,4] => 0001001 => [3,1,2,1] => 259
[3,1,7,8,5,2,6,4] => 1001101 => [1,2,2,1,1] => 594
[1,3,7,5,8,2,6,4] => 0010101 => [2,1,1,1,1,1] => 969
[3,1,7,5,8,2,6,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[3,5,7,1,8,4,6,2] => 0010101 => [2,1,1,1,1,1] => 969
[3,5,7,8,1,4,6,2] => 0001001 => [3,1,2,1] => 259
[5,3,7,8,4,6,1,2] => 1001010 => [1,2,1,1,1,1] => 969
[5,3,7,8,4,1,6,2] => 1001101 => [1,2,2,1,1] => 594
[5,3,7,8,1,4,6,2] => 1001001 => [1,2,1,2,1] => 603
[5,3,7,1,8,4,6,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[1,5,3,7,8,4,2,6] => 0100110 => [1,1,2,2,1] => 611
[5,1,3,7,8,4,2,6] => 1000110 => [1,3,2,1] => 259
[3,6,2,1,4,5,8,7] => 0110001 => [1,2,3,1] => 262
[4,6,2,5,1,3,8,7] => 0101001 => [1,1,1,1,2,1] => 1023
[6,4,2,5,1,3,8,7] => 1101001 => [2,1,1,2,1] => 603
[8,6,1,7,3,2,4,5] => 1101100 => [2,1,2,2] => 363
[2,5,8,1,7,3,4,6] => 0010100 => [2,1,1,1,2] => 603
[6,8,2,7,3,1,4,5] => 0101100 => [1,1,1,2,2] => 622
[6,8,2,3,7,1,4,5] => 0100100 => [1,1,2,1,2] => 611
[8,6,2,7,4,5,1,3] => 1101010 => [2,1,1,1,1,1] => 969
[5,2,8,1,7,3,4,6] => 1010100 => [1,1,1,1,1,2] => 1023
[4,2,3,8,1,5,6,7] => 1001000 => [1,2,1,3] => 262
[5,2,8,3,7,1,4,6] => 1010100 => [1,1,1,1,1,2] => 1023
[5,2,8,4,6,1,3,7] => 1010100 => [1,1,1,1,1,2] => 1023
[2,1,5,8,4,3,6,7] => 1001100 => [1,2,2,2] => 363
[5,8,3,2,7,1,4,6] => 0110100 => [1,2,1,1,2] => 603
[4,1,3,8,2,5,6,7] => 1001000 => [1,2,1,3] => 262
[3,5,8,2,7,1,4,6] => 0010100 => [2,1,1,1,2] => 603
[4,5,8,2,6,1,3,7] => 0010100 => [2,1,1,1,2] => 603
[2,6,8,3,7,1,4,5] => 0010100 => [2,1,1,1,2] => 603
[5,1,8,3,7,2,4,6] => 1010100 => [1,1,1,1,1,2] => 1023
[5,1,8,4,6,2,3,7] => 1010100 => [1,1,1,1,1,2] => 1023
[5,8,4,1,6,2,3,7] => 0110100 => [1,2,1,1,2] => 603
[4,5,8,1,6,2,3,7] => 0010100 => [2,1,1,1,2] => 603
[5,4,8,1,6,2,3,7] => 1010100 => [1,1,1,1,1,2] => 1023
[4,8,5,1,6,2,3,7] => 0110100 => [1,2,1,1,2] => 603
[2,1,5,4,8,3,6,7] => 1010100 => [1,1,1,1,1,2] => 1023
[2,4,3,8,1,5,6,7] => 0101000 => [1,1,1,1,3] => 450
[3,1,8,4,2,5,6,7] => 1011000 => [1,1,2,3] => 265
[3,8,4,2,1,5,6,7] => 0111000 => [1,3,3] => 110
[2,3,8,4,1,5,6,7] => 0011000 => [2,2,3] => 153
[3,4,2,8,1,5,6,7] => 0101000 => [1,1,1,1,3] => 450
[3,8,5,2,7,1,4,6] => 0110100 => [1,2,1,1,2] => 603
[4,8,5,2,6,1,3,7] => 0110100 => [1,2,1,1,2] => 603
[2,1,4,8,5,3,6,7] => 1001100 => [1,2,2,2] => 363
[3,2,8,4,1,5,6,7] => 1011000 => [1,1,2,3] => 265
[2,8,4,3,1,5,6,7] => 0111000 => [1,3,3] => 110
[4,1,7,5,6,2,8,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,7,4,3,8,1,6,2] => 0110101 => [1,2,1,1,1,1] => 969
[5,7,4,3,8,2,6,1] => 0110101 => [1,2,1,1,1,1] => 969
[3,8,4,2,6,7,5,1] => 0110011 => [1,2,2,2] => 363
[3,8,4,1,6,7,5,2] => 0110011 => [1,2,2,2] => 363
[6,1,7,5,2,8,4,3] => 1011011 => [1,1,2,1,2] => 611
[5,6,4,3,2,8,1,7] => 0111010 => [1,3,1,1,1] => 427
[2,6,7,5,3,8,4,1] => 0011011 => [2,2,1,2] => 357
[6,7,4,8,2,5,3,1] => 0101011 => [1,1,1,1,1,2] => 1023
[2,1,6,7,5,3,8,4] => 1001101 => [1,2,2,1,1] => 594
[3,8,4,2,1,6,7,5] => 0111001 => [1,3,2,1] => 259
[5,7,4,3,8,2,1,6] => 0110110 => [1,2,1,2,1] => 603
[6,7,4,8,1,2,5,3] => 0101001 => [1,1,1,1,2,1] => 1023
[6,7,5,8,1,2,4,3] => 0101001 => [1,1,1,1,2,1] => 1023
[6,7,4,8,3,1,2,5] => 0101100 => [1,1,1,2,2] => 622
[3,4,8,1,2,5,7,6] => 0010001 => [2,1,3,1] => 262
[6,1,3,4,8,2,5,7] => 1000100 => [1,3,1,2] => 259
[6,2,3,4,8,1,5,7] => 1000100 => [1,3,1,2] => 259
[3,4,8,2,1,5,7,6] => 0011001 => [2,2,2,1] => 357
[6,7,5,8,2,4,3,1] => 0101011 => [1,1,1,1,1,2] => 1023
[6,7,5,8,3,1,4,2] => 0101101 => [1,1,1,2,1,1] => 1006
[3,4,8,1,5,7,6,2] => 0010011 => [2,1,2,2] => 363
[2,5,7,6,1,4,8,3] => 0011001 => [2,2,2,1] => 357
[6,7,4,8,2,3,5,1] => 0101001 => [1,1,1,1,2,1] => 1023
[6,7,4,8,1,3,5,2] => 0101001 => [1,1,1,1,2,1] => 1023
[2,6,7,5,1,3,8,4] => 0011001 => [2,2,2,1] => 357
[6,3,1,4,8,2,5,7] => 1100100 => [2,2,1,2] => 357
[6,7,4,8,1,3,2,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[6,7,5,8,4,1,3,2] => 0101101 => [1,1,1,2,1,1] => 1006
[6,7,4,8,2,1,3,5] => 0101100 => [1,1,1,2,2] => 622
[6,7,4,8,1,2,3,5] => 0101000 => [1,1,1,1,3] => 450
[1,5,6,3,4,8,2,7] => 0010010 => [2,1,2,1,1] => 594
[1,4,3,6,5,8,2,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[8,1,3,4,7,2,6,5] => 1000101 => [1,3,1,1,1] => 427
[5,1,7,3,4,8,2,6] => 1010010 => [1,1,1,2,1,1] => 1006
[6,7,8,2,3,5,4,1] => 0010011 => [2,1,2,2] => 363
[5,8,6,2,3,7,4,1] => 0110011 => [1,2,2,2] => 363
[2,8,3,4,7,5,6,1] => 0100101 => [1,1,2,1,1,1] => 984
[1,8,3,4,7,6,2,5] => 0100110 => [1,1,2,2,1] => 611
[8,7,2,3,6,5,4,1] => 1100111 => [2,2,3] => 153
[3,8,1,7,5,2,6,4] => 0101101 => [1,1,1,2,1,1] => 1006
[4,8,1,6,7,2,5,3] => 0100101 => [1,1,2,1,1,1] => 984
[2,1,3,8,4,6,5,7] => 1001010 => [1,2,1,1,1,1] => 969
[8,2,1,7,4,3,6,5] => 1101101 => [2,1,2,1,1] => 594
[1,3,2,8,5,4,6,7] => 0101100 => [1,1,1,2,2] => 622
[8,3,1,5,7,2,6,4] => 1100101 => [2,2,1,1,1] => 582
[8,4,5,1,7,2,6,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[1,5,6,8,7,4,2,3] => 0001110 => [3,3,1] => 110
[8,4,5,7,6,3,2,1] => 1001111 => [1,2,4] => 85
[1,4,8,5,7,6,2,3] => 0010110 => [2,1,1,2,1] => 603
[2,4,8,5,7,3,6,1] => 0010101 => [2,1,1,1,1,1] => 969
[4,3,8,6,5,7,2,1] => 1011011 => [1,1,2,1,2] => 611
[6,7,2,8,5,3,4,1] => 0101101 => [1,1,1,2,1,1] => 1006
[5,2,7,8,6,3,4,1] => 1001101 => [1,2,2,1,1] => 594
[4,2,8,6,7,3,5,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[3,2,8,7,5,4,6,1] => 1011101 => [1,1,3,1,1] => 439
[3,1,8,7,5,6,2,4] => 1011010 => [1,1,2,1,1,1] => 984
[4,1,8,6,7,5,2,3] => 1010110 => [1,1,1,1,2,1] => 1023
[5,1,7,8,6,4,2,3] => 1001110 => [1,2,3,1] => 262
[6,7,1,8,5,4,2,3] => 0101110 => [1,1,1,3,1] => 450
[7,8,3,2,6,1,4,5] => 0110100 => [1,2,1,1,2] => 603
[3,4,8,2,6,1,7,5] => 0010101 => [2,1,1,1,1,1] => 969
[7,8,4,1,5,6,3,2] => 0110011 => [1,2,2,2] => 363
[7,8,1,4,5,6,3,2] => 0100011 => [1,1,3,2] => 265
[7,8,1,2,6,3,4,5] => 0100100 => [1,1,2,1,2] => 611
[7,8,5,1,4,6,3,2] => 0110011 => [1,2,2,2] => 363
[7,8,4,5,1,6,3,2] => 0101011 => [1,1,1,1,1,2] => 1023
[5,3,8,4,1,6,7,2] => 1011001 => [1,1,2,2,1] => 611
[6,2,4,8,1,5,3,7] => 1001010 => [1,2,1,1,1,1] => 969
[3,4,8,5,1,6,7,2] => 0011001 => [2,2,2,1] => 357
[3,5,8,1,4,6,7,2] => 0010001 => [2,1,3,1] => 262
[1,4,8,2,6,3,7,5] => 0010101 => [2,1,1,1,1,1] => 969
[5,3,8,1,4,6,7,2] => 1010001 => [1,1,1,3,1] => 450
[4,2,6,8,1,5,3,7] => 1001010 => [1,2,1,1,1,1] => 969
[7,4,2,8,1,5,3,6] => 1101010 => [2,1,1,1,1,1] => 969
[6,1,7,5,8,4,3,2] => 1010111 => [1,1,1,1,3] => 450
[6,2,1,8,4,5,3,7] => 1101010 => [2,1,1,1,1,1] => 969
[1,2,7,8,5,3,4,6] => 0001100 => [3,2,2] => 153
[6,3,7,8,5,4,1,2] => 1001110 => [1,2,3,1] => 262
[6,1,5,7,8,4,3,2] => 1000111 => [1,3,3] => 110
[1,7,5,6,8,4,3,2] => 0100111 => [1,1,2,3] => 265
[3,1,8,4,5,6,7,2] => 1010001 => [1,1,1,3,1] => 450
[2,1,4,8,6,5,3,7] => 1001110 => [1,2,3,1] => 262
[2,4,1,8,6,5,3,7] => 0101110 => [1,1,1,3,1] => 450
[4,2,1,8,6,5,3,7] => 1101110 => [2,1,3,1] => 262
[3,2,7,8,5,1,4,6] => 1001100 => [1,2,2,2] => 363
[2,3,7,8,5,1,4,6] => 0001100 => [3,2,2] => 153
[2,7,3,8,5,1,4,6] => 0101100 => [1,1,1,2,2] => 622
[3,6,2,8,5,1,4,7] => 0101100 => [1,1,1,2,2] => 622
[4,1,2,8,7,5,3,6] => 1001110 => [1,2,3,1] => 262
[1,4,2,8,7,5,3,6] => 0101110 => [1,1,1,3,1] => 450
[7,3,6,8,5,4,1,2] => 1001110 => [1,2,3,1] => 262
[7,2,1,8,5,3,4,6] => 1101100 => [2,1,2,2] => 363
[1,2,6,8,4,5,3,7] => 0001010 => [3,1,1,1,1] => 427
[7,1,6,5,8,4,3,2] => 1010111 => [1,1,1,1,3] => 450
[6,5,7,1,8,4,3,2] => 1010111 => [1,1,1,1,3] => 450
[5,7,6,1,8,4,3,2] => 0110111 => [1,2,1,3] => 262
[6,7,1,5,8,4,3,2] => 0100111 => [1,1,2,3] => 265
[6,7,3,8,5,4,1,2] => 0101110 => [1,1,1,3,1] => 450
[7,1,2,8,4,5,3,6] => 1001010 => [1,2,1,1,1,1] => 969
[7,6,1,5,8,4,3,2] => 1100111 => [2,2,3] => 153
[7,5,6,1,8,4,3,2] => 1010111 => [1,1,1,1,3] => 450
[7,1,6,5,3,2,4,8] => 1011100 => [1,1,3,2] => 265
[1,8,7,5,3,2,4,6] => 0111100 => [1,4,2] => 85
[1,8,7,4,2,5,3,6] => 0111010 => [1,3,1,1,1] => 427
[8,7,4,2,5,3,6,1] => 1110101 => [3,1,1,1,1] => 427
[7,1,6,4,2,5,3,8] => 1011010 => [1,1,2,1,1,1] => 984
[2,6,5,4,7,1,3,8] => 0110100 => [1,2,1,1,2] => 603
[7,1,5,3,6,4,2,8] => 1010110 => [1,1,1,1,2,1] => 1023
[5,3,7,1,6,4,2,8] => 1010110 => [1,1,1,1,2,1] => 1023
[5,3,6,4,2,7,1,8] => 1011010 => [1,1,2,1,1,1] => 984
[1,5,3,8,7,4,2,6] => 0101110 => [1,1,1,3,1] => 450
[7,4,2,8,6,3,5,1] => 1101101 => [2,1,2,1,1] => 594
[5,3,6,1,8,7,4,2] => 1010111 => [1,1,1,1,3] => 450
[6,1,5,3,8,7,4,2] => 1010111 => [1,1,1,1,3] => 450
[2,8,7,5,4,6,1,3] => 0111010 => [1,3,1,1,1] => 427
[2,3,1,8,7,5,4,6] => 0101110 => [1,1,1,3,1] => 450
[5,3,8,7,4,2,1,6] => 1011110 => [1,1,4,1] => 148
[7,4,2,1,8,6,3,5] => 1110110 => [3,1,2,1] => 259
[8,6,3,5,7,4,2,1] => 1100111 => [2,2,3] => 153
[1,8,6,3,5,7,4,2] => 0110011 => [1,2,2,2] => 363
[6,3,8,5,2,1,7,4] => 1011101 => [1,1,3,1,1] => 439
[8,6,3,7,4,2,1,5] => 1101110 => [2,1,3,1] => 262
[2,8,6,4,7,5,1,3] => 0110110 => [1,2,1,2,1] => 603
[5,1,8,6,3,7,4,2] => 1011011 => [1,1,2,1,2] => 611
[6,3,7,4,1,8,5,2] => 1011011 => [1,1,2,1,2] => 611
[8,5,2,6,3,7,4,1] => 1101011 => [2,1,1,1,2] => 603
[6,1,8,7,4,2,5,3] => 1011101 => [1,1,3,1,1] => 439
[8,6,3,7,4,2,5,1] => 1101101 => [2,1,2,1,1] => 594
[1,8,6,3,2,4,7,5] => 0111001 => [1,3,2,1] => 259
[8,6,3,2,4,7,5,1] => 1110011 => [3,2,2] => 153
[7,5,1,8,6,3,2,4] => 1101110 => [2,1,3,1] => 262
[6,1,8,7,5,3,2,4] => 1011110 => [1,1,4,1] => 148
[4,3,2,8,7,6,1,5] => 1101110 => [2,1,3,1] => 262
[2,4,5,1,3,8,7,6] => 0010011 => [2,1,2,2] => 363
[7,5,8,6,3,2,4,1] => 1011101 => [1,1,3,1,1] => 439
[1,7,5,8,6,3,2,4] => 0101110 => [1,1,1,3,1] => 450
[1,7,4,2,5,8,6,3] => 0110011 => [1,2,2,2] => 363
[8,6,3,1,7,4,2,5] => 1110110 => [3,1,2,1] => 259
[8,7,4,2,5,3,1,6] => 1110110 => [3,1,2,1] => 259
[5,3,1,8,7,4,2,6] => 1101110 => [2,1,3,1] => 262
[4,1,8,7,5,3,2,6] => 1011110 => [1,1,4,1] => 148
[2,8,6,4,1,3,7,5] => 0111001 => [1,3,2,1] => 259
[4,1,8,6,3,2,7,5] => 1011101 => [1,1,3,1,1] => 439
[7,4,2,8,6,3,1,5] => 1101110 => [2,1,3,1] => 262
[6,3,1,8,5,2,7,4] => 1101101 => [2,1,2,1,1] => 594
[8,5,2,6,3,1,7,4] => 1101101 => [2,1,2,1,1] => 594
[7,4,8,5,2,6,3,1] => 1011011 => [1,1,2,1,2] => 611
[1,8,5,2,7,4,6,3] => 0110101 => [1,2,1,1,1,1] => 969
[8,5,2,7,4,6,3,1] => 1101011 => [2,1,1,1,2] => 603
[7,4,6,3,1,8,5,2] => 1011011 => [1,1,2,1,2] => 611
[6,3,1,7,4,8,5,2] => 1101011 => [2,1,1,1,2] => 603
[8,6,3,1,5,7,4,2] => 1110011 => [3,2,2] => 153
[4,1,7,5,8,6,3,2] => 1010111 => [1,1,1,1,3] => 450
[2,3,1,7,5,8,6,4] => 0101011 => [1,1,1,1,1,2] => 1023
[7,4,8,5,2,1,6,3] => 1011101 => [1,1,3,1,1] => 439
[8,5,2,1,7,4,6,3] => 1110101 => [3,1,1,1,1] => 427
[1,7,4,6,3,8,5,2] => 0101011 => [1,1,1,1,1,2] => 1023
[3,6,5,2,1,4,8,7] => 0111001 => [1,3,2,1] => 259
[3,5,6,2,1,4,8,7] => 0011001 => [2,2,2,1] => 357
[3,5,7,8,1,4,2,6] => 0001010 => [3,1,1,1,1] => 427
[4,1,8,5,7,3,2,6] => 1010110 => [1,1,1,1,2,1] => 1023
[4,1,7,5,8,3,2,6] => 1010110 => [1,1,1,1,2,1] => 1023
[2,1,5,8,7,4,3,6] => 1001110 => [1,2,3,1] => 262
[2,1,5,7,8,4,3,6] => 1000110 => [1,3,2,1] => 259
[5,1,7,4,8,3,2,6] => 1010110 => [1,1,1,1,2,1] => 1023
[4,7,2,8,3,6,1,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,6,2,7,3,1,8,5] => 0101101 => [1,1,1,2,1,1] => 1006
[3,7,8,2,4,1,6,5] => 0010101 => [2,1,1,1,1,1] => 969
[3,8,7,2,4,1,6,5] => 0110101 => [1,2,1,1,1,1] => 969
[3,8,6,2,4,1,7,5] => 0110101 => [1,2,1,1,1,1] => 969
[6,2,8,4,1,7,3,5] => 1011010 => [1,1,2,1,1,1] => 984
[7,3,4,8,1,6,2,5] => 1001010 => [1,2,1,1,1,1] => 969
[6,3,4,8,1,7,2,5] => 1001010 => [1,2,1,1,1,1] => 969
[5,3,4,8,1,2,7,6] => 1001001 => [1,2,1,2,1] => 603
[4,3,5,8,1,2,7,6] => 1001001 => [1,2,1,2,1] => 603
[1,8,5,4,2,3,7,6] => 0111001 => [1,3,2,1] => 259
[3,5,4,8,1,2,7,6] => 0101001 => [1,1,1,1,2,1] => 1023
[4,5,3,8,1,2,7,6] => 0101001 => [1,1,1,1,2,1] => 1023
[6,4,3,8,1,7,2,5] => 1101010 => [2,1,1,1,1,1] => 969
[7,4,3,8,1,6,2,5] => 1101010 => [2,1,1,1,1,1] => 969
[6,5,3,8,7,1,2,4] => 1101100 => [2,1,2,2] => 363
[5,6,3,8,7,1,2,4] => 0101100 => [1,1,1,2,2] => 622
[4,6,3,8,1,7,2,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,6,8,4,1,7,3,5] => 0011010 => [2,2,1,1,1] => 582
[1,8,7,4,2,6,3,5] => 0111010 => [1,3,1,1,1] => 427
[5,7,3,8,6,1,2,4] => 0101100 => [1,1,1,2,2] => 622
[3,7,5,8,6,1,2,4] => 0101100 => [1,1,1,2,2] => 622
[2,7,8,5,6,1,3,4] => 0010100 => [2,1,1,1,2] => 603
[1,8,7,5,6,2,3,4] => 0110100 => [1,2,1,1,2] => 603
[2,6,8,5,7,1,3,4] => 0010100 => [2,1,1,1,2] => 603
[5,3,6,8,7,1,2,4] => 1001100 => [1,2,2,2] => 363
[6,3,5,8,7,1,2,4] => 1001100 => [1,2,2,2] => 363
[7,2,8,5,6,1,3,4] => 1010100 => [1,1,1,1,1,2] => 1023
[5,2,8,6,7,1,3,4] => 1010100 => [1,1,1,1,1,2] => 1023
[1,8,3,2,7,6,4,5] => 0110110 => [1,2,1,2,1] => 603
[5,2,8,7,6,1,3,4] => 1011100 => [1,1,3,2] => 265
[6,2,8,7,5,1,3,4] => 1011100 => [1,1,3,2] => 265
[3,4,7,8,1,6,2,5] => 0001010 => [3,1,1,1,1] => 427
[1,8,5,7,6,2,3,4] => 0101100 => [1,1,1,2,2] => 622
[2,5,8,7,6,1,3,4] => 0011100 => [2,3,2] => 153
[7,4,6,5,8,1,2,3] => 1010100 => [1,1,1,1,1,2] => 1023
[3,6,7,8,5,1,2,4] => 0001100 => [3,2,2] => 153
[2,6,8,7,5,1,3,4] => 0011100 => [2,3,2] => 153
[1,8,6,7,5,2,3,4] => 0101100 => [1,1,1,2,2] => 622
[2,7,8,6,5,1,3,4] => 0011100 => [2,3,2] => 153
[5,7,6,4,8,1,2,3] => 0110100 => [1,2,1,1,2] => 603
[6,3,8,7,5,1,2,4] => 1011100 => [1,1,3,2] => 265
[2,8,7,4,1,3,5,6] => 0111000 => [1,3,3] => 110
[5,4,8,7,1,3,2,6] => 1011010 => [1,1,2,1,1,1] => 984
[4,8,6,1,3,2,5,7] => 0110100 => [1,2,1,1,2] => 603
[5,4,2,7,6,8,1,3] => 1101010 => [2,1,1,1,1,1] => 969
[2,8,7,1,4,5,3,6] => 0110010 => [1,2,2,1,1] => 594
[4,2,1,8,7,3,5,6] => 1101100 => [2,1,2,2] => 363
[5,1,6,3,2,8,7,4] => 1011011 => [1,1,2,1,2] => 611
[4,6,1,8,7,3,2,5] => 0101110 => [1,1,1,3,1] => 450
[8,7,2,3,5,4,1,6] => 1100110 => [2,2,2,1] => 357
[5,3,1,4,8,7,2,6] => 1100110 => [2,2,2,1] => 357
[4,3,5,2,8,7,1,6] => 1010110 => [1,1,1,1,2,1] => 1023
[3,4,2,8,6,1,5,7] => 0101100 => [1,1,1,2,2] => 622
[3,7,6,8,1,5,2,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[8,1,4,2,3,6,7,5] => 1010001 => [1,1,1,3,1] => 450
[3,7,2,1,8,6,4,5] => 0110110 => [1,2,1,2,1] => 603
[2,8,6,1,7,3,5,4] => 0110101 => [1,2,1,1,1,1] => 969
[1,7,6,3,5,8,2,4] => 0110010 => [1,2,2,1,1] => 594
[3,7,5,1,6,8,2,4] => 0110010 => [1,2,2,1,1] => 594
[3,6,5,8,1,4,7,2] => 0101001 => [1,1,1,1,2,1] => 1023
[8,1,5,6,4,7,2,3] => 1001010 => [1,2,1,1,1,1] => 969
[3,6,7,4,1,8,2,5] => 0011010 => [2,2,1,1,1] => 582
[1,7,4,6,8,2,5,3] => 0100101 => [1,1,2,1,1,1] => 984
[7,5,8,2,6,3,1,4] => 1010110 => [1,1,1,1,2,1] => 1023
[2,7,1,6,5,4,8,3] => 0101101 => [1,1,1,2,1,1] => 1006
[7,3,2,6,1,8,5,4] => 1101011 => [2,1,1,1,2] => 603
[6,4,7,2,3,1,8,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,3,1,8,4,6,2,7] => 1101010 => [2,1,1,1,1,1] => 969
[3,8,1,6,7,4,2,5] => 0100110 => [1,1,2,2,1] => 611
[2,7,4,3,6,8,1,5] => 0110010 => [1,2,2,1,1] => 594
[2,8,4,6,1,5,3,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[8,4,1,6,3,2,5,7] => 1101100 => [2,1,2,2] => 363
[4,7,3,8,5,2,1,6] => 0101110 => [1,1,1,3,1] => 450
[3,1,7,4,8,5,2,6] => 1010110 => [1,1,1,1,2,1] => 1023
[7,4,1,6,3,2,8,5] => 1101101 => [2,1,2,1,1] => 594
[3,8,6,2,7,4,1,5] => 0110110 => [1,2,1,2,1] => 603
[7,3,1,4,5,2,8,6] => 1100101 => [2,2,1,1,1] => 582
[6,1,4,8,5,3,2,7] => 1001110 => [1,2,3,1] => 262
[8,1,2,4,6,7,5,3] => 1000011 => [1,4,2] => 85
[8,1,3,6,7,5,4,2] => 1000111 => [1,3,3] => 110
[7,5,2,3,8,6,1,4] => 1100110 => [2,2,2,1] => 357
[8,6,2,4,1,3,7,5] => 1101001 => [2,1,1,2,1] => 603
[4,7,5,1,8,6,3,2] => 0110111 => [1,2,1,3] => 262
[4,7,3,2,8,5,6,1] => 0110101 => [1,2,1,1,1,1] => 969
[8,4,5,7,6,1,3,2] => 1001101 => [1,2,2,1,1] => 594
[7,5,8,4,2,3,6,1] => 1011001 => [1,1,2,2,1] => 611
[3,8,4,6,1,7,5,2] => 0101011 => [1,1,1,1,1,2] => 1023
[3,7,4,6,5,2,8,1] => 0101101 => [1,1,1,2,1,1] => 1006
[4,2,7,6,1,5,8,3] => 1011001 => [1,1,2,2,1] => 611
[8,3,1,4,5,7,6,2] => 1100011 => [2,3,2] => 153
[3,5,1,6,8,4,7,2] => 0100101 => [1,1,2,1,1,1] => 984
[6,1,5,7,3,8,4,2] => 1001011 => [1,2,1,1,2] => 603
[5,8,4,7,3,2,6,1] => 0101101 => [1,1,1,2,1,1] => 1006
[7,2,6,5,8,4,1,3] => 1010110 => [1,1,1,1,2,1] => 1023
[8,3,2,5,1,6,7,4] => 1101001 => [2,1,1,2,1] => 603
[2,6,8,3,7,4,1,5] => 0010110 => [2,1,1,2,1] => 603
[8,1,5,6,4,7,3,2] => 1001011 => [1,2,1,1,2] => 603
[2,5,8,1,6,4,7,3] => 0010101 => [2,1,1,1,1,1] => 969
[7,4,1,8,3,2,6,5] => 1101101 => [2,1,2,1,1] => 594
[8,3,7,4,2,1,6,5] => 1011101 => [1,1,3,1,1] => 439
[5,2,6,8,3,1,7,4] => 1001101 => [1,2,2,1,1] => 594
[3,6,5,8,4,1,7,2] => 0101101 => [1,1,1,2,1,1] => 1006
[7,3,6,1,8,4,5,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,2,7,3,4,6,5,1] => 1010011 => [1,1,1,2,2] => 622
[7,3,8,2,5,6,4,1] => 1010011 => [1,1,1,2,2] => 622
[5,7,3,1,6,4,8,2] => 0110101 => [1,2,1,1,1,1] => 969
[6,1,3,2,4,8,7,5] => 1010011 => [1,1,1,2,2] => 622
[8,7,4,2,3,6,1,5] => 1110010 => [3,2,1,1] => 256
[8,7,1,5,4,2,3,6] => 1101100 => [2,1,2,2] => 363
[3,7,1,5,2,8,6,4] => 0101011 => [1,1,1,1,1,2] => 1023
[8,7,2,5,4,1,3,6] => 1101100 => [2,1,2,2] => 363
[8,7,2,5,3,1,4,6] => 1101100 => [2,1,2,2] => 363
[5,2,8,7,1,4,3,6] => 1011010 => [1,1,2,1,1,1] => 984
[7,1,8,6,2,4,3,5] => 1011010 => [1,1,2,1,1,1] => 984
[8,1,6,2,7,5,3,4] => 1010110 => [1,1,1,1,2,1] => 1023
[7,1,6,2,8,5,3,4] => 1010110 => [1,1,1,1,2,1] => 1023
[6,3,4,1,7,2,8,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,2,4,3,5,1,8,6] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,1,7,2,3,8,6,4] => 1010011 => [1,1,1,2,2] => 622
[8,2,3,5,1,7,6,4] => 1001011 => [1,2,1,1,2] => 603
[7,6,3,1,4,8,2,5] => 1110010 => [3,2,1,1] => 256
[6,1,8,2,7,5,3,4] => 1010110 => [1,1,1,1,2,1] => 1023
[7,2,8,1,6,5,3,4] => 1010110 => [1,1,1,1,2,1] => 1023
[7,2,6,4,3,8,1,5] => 1011010 => [1,1,2,1,1,1] => 984
[5,1,7,4,3,8,2,6] => 1011010 => [1,1,2,1,1,1] => 984
[5,3,1,7,4,8,2,6] => 1101010 => [2,1,1,1,1,1] => 969
[7,4,8,2,1,5,3,6] => 1011010 => [1,1,2,1,1,1] => 984
[8,2,4,1,6,3,7,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,2,7,5,1,6,4,3] => 1011011 => [1,1,2,1,2] => 611
[6,1,7,3,2,8,5,4] => 1011011 => [1,1,2,1,2] => 611
[4,7,2,1,6,3,8,5] => 0110101 => [1,2,1,1,1,1] => 969
[6,2,1,5,3,8,4,7] => 1101010 => [2,1,1,1,1,1] => 969
[5,3,1,6,2,8,4,7] => 1101010 => [2,1,1,1,1,1] => 969
[6,1,5,2,8,4,3,7] => 1010110 => [1,1,1,1,2,1] => 1023
[7,4,3,8,1,5,2,6] => 1101010 => [2,1,1,1,1,1] => 969
[7,4,8,1,5,3,2,6] => 1010110 => [1,1,1,1,2,1] => 1023
[6,1,5,3,2,8,4,7] => 1011010 => [1,1,2,1,1,1] => 984
[6,3,2,8,4,1,5,7] => 1101100 => [2,1,2,2] => 363
[7,3,4,2,8,5,1,6] => 1010110 => [1,1,1,1,2,1] => 1023
[7,1,6,3,4,2,8,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,5,1,3,7,4,2,6] => 1100110 => [2,2,2,1] => 357
[3,8,6,1,5,2,7,4] => 0110101 => [1,2,1,1,1,1] => 969
[8,6,1,3,7,5,2,4] => 1100110 => [2,2,2,1] => 357
[4,8,5,6,1,7,3,2] => 0101011 => [1,1,1,1,1,2] => 1023
[6,7,1,3,8,5,2,4] => 0100110 => [1,1,2,2,1] => 611
[3,6,7,1,5,2,8,4] => 0010101 => [2,1,1,1,1,1] => 969
[7,1,3,8,4,2,6,5] => 1001101 => [1,2,2,1,1] => 594
[5,6,2,7,1,3,8,4] => 0101001 => [1,1,1,1,2,1] => 1023
[5,6,2,8,1,3,7,4] => 0101001 => [1,1,1,1,2,1] => 1023
[6,1,8,3,7,5,2,4] => 1010110 => [1,1,1,1,2,1] => 1023
[7,4,2,1,5,8,3,6] => 1110010 => [3,2,1,1] => 256
[7,4,1,5,8,3,2,6] => 1100110 => [2,2,2,1] => 357
[7,3,2,6,4,8,1,5] => 1101010 => [2,1,1,1,1,1] => 969
[6,4,2,7,3,8,1,5] => 1101010 => [2,1,1,1,1,1] => 969
[5,1,8,3,7,4,2,6] => 1010110 => [1,1,1,1,2,1] => 1023
[7,4,8,3,1,5,2,6] => 1011010 => [1,1,2,1,1,1] => 984
[5,2,1,7,4,8,3,6] => 1101010 => [2,1,1,1,1,1] => 969
[6,1,8,4,5,2,7,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,1,6,4,5,2,8,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[3,5,2,7,1,6,8,4] => 0101001 => [1,1,1,1,2,1] => 1023
[4,5,7,3,1,6,8,2] => 0011001 => [2,2,2,1] => 357
[4,5,7,2,8,6,1,3] => 0010110 => [2,1,1,2,1] => 603
[3,5,1,7,2,6,8,4] => 0101001 => [1,1,1,1,2,1] => 1023
[4,5,7,2,8,1,3,6] => 0010100 => [2,1,1,1,2] => 603
[4,6,7,2,1,5,8,3] => 0011001 => [2,2,2,1] => 357
[4,6,7,1,3,8,5,2] => 0010011 => [2,1,2,2] => 363
[3,6,1,5,7,8,4,2] => 0100011 => [1,1,3,2] => 265
[4,6,7,1,5,8,3,2] => 0010011 => [2,1,2,2] => 363
[6,1,3,7,4,8,5,2] => 1001011 => [1,2,1,1,2] => 603
[3,2,1,7,4,8,5,6] => 1101010 => [2,1,1,1,1,1] => 969
[4,1,5,2,7,6,3,8] => 1010110 => [1,1,1,1,2,1] => 1023
[2,5,1,3,7,6,4,8] => 0100110 => [1,1,2,2,1] => 611
[2,5,1,4,3,8,6,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,7,2,1,5,8,6,4] => 0110011 => [1,2,2,2] => 363
[6,2,7,1,4,8,5,3] => 1010011 => [1,1,1,2,2] => 622
[3,7,4,2,1,8,5,6] => 0111010 => [1,3,1,1,1] => 427
[7,2,5,3,1,8,6,4] => 1011011 => [1,1,2,1,2] => 611
[7,5,1,4,2,8,6,3] => 1101011 => [2,1,1,1,2] => 603
[7,5,4,1,3,8,6,2] => 1110011 => [3,2,2] => 153
[5,3,2,1,7,6,4,8] => 1110110 => [3,1,2,1] => 259
[6,3,2,8,1,5,7,4] => 1101001 => [2,1,1,2,1] => 603
[7,4,3,2,8,1,6,5] => 1110101 => [3,1,1,1,1] => 427
[7,6,2,4,8,3,5,1] => 1100101 => [2,2,1,1,1] => 582
[7,3,6,4,8,1,5,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[2,7,5,3,8,1,4,6] => 0110100 => [1,2,1,1,2] => 603
[1,8,5,3,6,4,2,7] => 0110110 => [1,2,1,2,1] => 603
[8,6,2,3,7,5,4,1] => 1100111 => [2,2,3] => 153
[8,6,3,2,7,5,4,1] => 1110111 => [3,1,3] => 110
[8,3,2,7,1,6,4,5] => 1101010 => [2,1,1,1,1,1] => 969
[7,2,6,1,5,4,3,8] => 1010110 => [1,1,1,1,2,1] => 1023
[8,5,7,4,3,6,2,1] => 1011011 => [1,1,2,1,2] => 611
[8,5,7,2,4,6,3,1] => 1010011 => [1,1,1,2,2] => 622
[8,4,6,7,1,3,2,5] => 1001010 => [1,2,1,1,1,1] => 969
[2,8,5,6,1,4,3,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[7,2,6,8,4,1,5,3] => 1001101 => [1,2,2,1,1] => 594
[7,6,4,8,3,2,5,1] => 1101101 => [2,1,2,1,1] => 594
[6,5,8,1,4,2,7,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,5,8,4,1,3,7,2] => 1011001 => [1,1,2,2,1] => 611
[5,4,8,3,2,1,7,6] => 1011101 => [1,1,3,1,1] => 439
[4,3,7,2,1,6,5,8] => 1011010 => [1,1,2,1,1,1] => 984
[2,5,8,1,4,3,7,6] => 0010101 => [2,1,1,1,1,1] => 969
[3,6,8,2,1,5,7,4] => 0011001 => [2,2,2,1] => 357
[5,7,4,8,1,3,6,2] => 0101001 => [1,1,1,1,2,1] => 1023
[5,7,1,4,8,2,6,3] => 0100101 => [1,1,2,1,1,1] => 984
[2,7,4,1,8,3,6,5] => 0110101 => [1,2,1,1,1,1] => 969
[3,5,1,8,4,2,7,6] => 0101101 => [1,1,1,2,1,1] => 1006
[4,1,5,7,3,6,2,8] => 1001010 => [1,2,1,1,1,1] => 969
[4,2,5,8,3,1,7,6] => 1001101 => [1,2,2,1,1] => 594
[6,1,2,7,8,3,5,4] => 1000101 => [1,3,1,1,1] => 427
[5,3,1,8,6,4,2,7] => 1101110 => [2,1,3,1] => 262
[3,1,8,4,7,5,2,6] => 1010110 => [1,1,1,1,2,1] => 1023
[4,2,8,7,3,5,1,6] => 1011010 => [1,1,2,1,1,1] => 984
[4,8,1,7,6,2,3,5] => 0101100 => [1,1,1,2,2] => 622
[6,8,1,4,7,5,2,3] => 0100110 => [1,1,2,2,1] => 611
[7,3,8,1,6,4,2,5] => 1010110 => [1,1,1,1,2,1] => 1023
[4,7,8,1,5,3,2,6] => 0010110 => [2,1,1,2,1] => 603
[7,1,8,6,2,5,3,4] => 1011010 => [1,1,2,1,1,1] => 984
[5,8,7,1,3,6,4,2] => 0110011 => [1,2,2,2] => 363
[3,8,7,2,1,6,4,5] => 0111010 => [1,3,1,1,1] => 427
[2,8,7,1,6,3,5,4] => 0110101 => [1,2,1,1,1,1] => 969
[3,7,6,1,5,4,2,8] => 0110110 => [1,2,1,2,1] => 603
[4,8,7,6,1,3,5,2] => 0111001 => [1,3,2,1] => 259
[5,8,7,2,6,1,4,3] => 0110101 => [1,2,1,1,1,1] => 969
[6,8,1,7,5,2,4,3] => 0101101 => [1,1,1,2,1,1] => 1006
[7,3,8,6,5,1,2,4] => 1011100 => [1,1,3,2] => 265
[5,7,8,4,3,1,2,6] => 0011100 => [2,3,2] => 153
[5,8,6,4,3,2,1,7] => 0111110 => [1,5,1] => 37
[8,7,3,6,4,2,1,5] => 1101110 => [2,1,3,1] => 262
[6,1,4,2,5,3,7,8] => 1010100 => [1,1,1,1,1,2] => 1023
[1,3,7,5,4,2,8,6] => 0011101 => [2,3,1,1] => 256
[6,1,3,5,4,2,7,8] => 1001100 => [1,2,2,2] => 363
[6,1,2,5,4,7,3,8] => 1001010 => [1,2,1,1,1,1] => 969
[5,1,6,3,4,7,8,2] => 1010001 => [1,1,1,3,1] => 450
[5,2,6,3,4,7,1,8] => 1010010 => [1,1,1,2,1,1] => 1006
[3,4,7,5,8,6,1,2] => 0010110 => [2,1,1,2,1] => 603
[2,4,7,1,5,3,8,6] => 0010101 => [2,1,1,1,1,1] => 969
[2,3,6,7,4,8,1,5] => 0001010 => [3,1,1,1,1] => 427
[1,3,6,7,4,8,5,2] => 0001011 => [3,1,1,2] => 259
[2,7,6,5,3,1,8,4] => 0111101 => [1,4,1,1] => 145
[5,2,6,1,4,7,8,3] => 1010001 => [1,1,1,3,1] => 450
[4,7,6,5,2,1,8,3] => 0111101 => [1,4,1,1] => 145
[5,3,6,2,4,1,7,8] => 1010100 => [1,1,1,1,1,2] => 1023
[5,7,4,2,1,3,6,8] => 0111000 => [1,3,3] => 110
[6,3,1,5,4,7,8,2] => 1101001 => [2,1,1,2,1] => 603
[5,3,6,1,4,2,7,8] => 1010100 => [1,1,1,1,1,2] => 1023
[1,7,4,2,6,3,8,5] => 0110101 => [1,2,1,1,1,1] => 969
[5,7,4,1,2,3,6,8] => 0110000 => [1,2,4] => 85
[6,4,1,2,5,3,7,8] => 1100100 => [2,2,1,2] => 357
[4,7,6,3,8,5,1,2] => 0110110 => [1,2,1,2,1] => 603
[3,7,6,5,2,8,1,4] => 0111010 => [1,3,1,1,1] => 427
[3,7,6,5,1,2,8,4] => 0111001 => [1,3,2,1] => 259
[4,7,2,6,1,3,8,5] => 0101001 => [1,1,1,1,2,1] => 1023
[2,7,1,6,8,3,5,4] => 0100101 => [1,1,2,1,1,1] => 984
[2,7,6,5,8,1,4,3] => 0110101 => [1,2,1,1,1,1] => 969
[9,1,2,3,4,5,6,8,7] => 10000001 => [1,6,1] => 50
[9,1,2,3,4,5,7,8,6] => 10000001 => [1,6,1] => 50
[2,3,4,5,6,9,7,8,1] => 00000101 => [5,1,1,1] => 240
[9,2,1,8,7,6,5,4,3] => 11011111 => [2,1,5] => 138
[3,9,2,8,7,6,5,4,1] => 01011111 => [1,1,1,5] => 244
[4,2,9,8,7,6,5,3,1] => 10111111 => [1,1,6] => 50
[5,2,8,7,6,4,3,1] => 1011111 => [1,1,5] => 37
[8,2,7,6,1,5,4,3] => 1011011 => [1,1,2,1,2] => 611
[9,2,8,1,7,6,5,4,3] => 10101111 => [1,1,1,1,4] => 934
[8,4,1,7,6,5,3,2] => 1101111 => [2,1,4] => 85
[9,3,1,8,7,6,5,4,2] => 11011111 => [2,1,5] => 138
[4,5,6,2,3,8,1,7] => 0010010 => [2,1,2,1,1] => 594
[4,5,3,2,7,8,1,6] => 0110010 => [1,2,2,1,1] => 594
[6,5,7,3,8,4,2,1] => 1010111 => [1,1,1,1,3] => 450
[6,8,7,2,4,3,5,1] => 0110101 => [1,2,1,1,1,1] => 969
[3,2,7,4,5,8,1,6] => 1010010 => [1,1,1,2,1,1] => 1006
[6,8,1,5,2,4,3,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[8,3,4,6,1,5,2,7] => 1001010 => [1,2,1,1,1,1] => 969
[2,3,4,7,5,8,1,6] => 0001010 => [3,1,1,1,1] => 427
[6,3,4,7,8,2,5,1] => 1000101 => [1,3,1,1,1] => 427
[5,3,7,4,8,6,1,2] => 1010110 => [1,1,1,1,2,1] => 1023
[8,3,6,4,1,7,2,5] => 1011010 => [1,1,2,1,1,1] => 984
[1,3,7,4,8,6,2,5] => 0010110 => [2,1,1,2,1] => 603
[3,7,8,5,4,1,2,6] => 0011100 => [2,3,2] => 153
[5,4,3,1,7,8,2,6] => 1110010 => [3,2,1,1] => 256
[5,7,6,2,8,4,1,3] => 0110110 => [1,2,1,2,1] => 603
[6,1,7,5,8,3,4,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,5,6,4,1,3,8,2] => 1011001 => [1,1,2,2,1] => 611
[1,5,6,8,4,7,3,2] => 0001011 => [3,1,1,2] => 259
[4,1,3,7,6,5,8,2] => 1001101 => [1,2,2,1,1] => 594
[3,4,1,7,5,8,6,2] => 0101011 => [1,1,1,1,1,2] => 1023
[8,5,7,4,3,1,6,2] => 1011101 => [1,1,3,1,1] => 439
[6,8,5,1,7,2,4,3] => 0110101 => [1,2,1,1,1,1] => 969
[8,2,4,1,3,7,6,5] => 1010011 => [1,1,1,2,2] => 622
[7,8,3,6,2,1,4,5] => 0101100 => [1,1,1,2,2] => 622
[8,1,7,4,2,3,6,5] => 1011001 => [1,1,2,2,1] => 611
[1,8,7,2,3,5,6,4] => 0110001 => [1,2,3,1] => 262
[2,8,3,1,6,7,5,4] => 0110011 => [1,2,2,2] => 363
[8,2,3,1,5,7,6,4] => 1010011 => [1,1,1,2,2] => 622
[3,8,4,1,2,7,6,5] => 0110011 => [1,2,2,2] => 363
[5,4,7,2,3,6,8,1] => 1010001 => [1,1,1,3,1] => 450
[6,3,2,1,8,4,7,5] => 1110101 => [3,1,1,1,1] => 427
[2,3,7,4,1,8,5,6] => 0011010 => [2,2,1,1,1] => 582
[6,4,1,3,2,7,8,5] => 1101001 => [2,1,1,2,1] => 603
[2,7,8,5,1,3,6,4] => 0011001 => [2,2,2,1] => 357
[8,2,5,6,7,1,3,4] => 1000100 => [1,3,1,2] => 259
[2,8,5,4,7,6,1,3] => 0110110 => [1,2,1,2,1] => 603
[6,7,1,5,8,2,4,3] => 0100101 => [1,1,2,1,1,1] => 984
[4,8,7,6,2,3,5,1] => 0111001 => [1,3,2,1] => 259
[7,8,1,5,3,2,6,4] => 0101101 => [1,1,1,2,1,1] => 1006
[6,5,7,3,8,2,1,4] => 1010110 => [1,1,1,1,2,1] => 1023
[8,1,4,7,2,5,6,3] => 1001001 => [1,2,1,2,1] => 603
[7,3,4,6,1,5,8,2] => 1001001 => [1,2,1,2,1] => 603
[8,3,4,5,7,1,6,2] => 1000101 => [1,3,1,1,1] => 427
[4,2,6,8,3,1,5,7] => 1001100 => [1,2,2,2] => 363
[3,7,6,2,4,5,1,8] => 0110010 => [1,2,2,1,1] => 594
[2,3,6,5,8,1,4,7] => 0010100 => [2,1,1,1,2] => 603
[2,3,5,8,6,1,4,7] => 0001100 => [3,2,2] => 153
[4,2,3,8,6,1,5,7] => 1001100 => [1,2,2,2] => 363
[6,4,1,2,8,3,5,7] => 1100100 => [2,2,1,2] => 357
[1,2,3,7,4,6,8,5] => 0001001 => [3,1,2,1] => 259
[3,2,7,1,4,5,8,6] => 1010001 => [1,1,1,3,1] => 450
[2,1,5,3,8,7,4,6] => 1010110 => [1,1,1,1,2,1] => 1023
[5,8,3,2,4,1,6,7] => 0110100 => [1,2,1,1,2] => 603
[4,2,7,1,8,3,5,6] => 1010100 => [1,1,1,1,1,2] => 1023
[4,1,8,2,7,3,5,6] => 1010100 => [1,1,1,1,1,2] => 1023
[1,2,7,5,3,8,4,6] => 0011010 => [2,2,1,1,1] => 582
[3,2,7,1,4,8,5,6] => 1010010 => [1,1,1,2,1,1] => 1006
[1,2,3,7,6,8,4,5] => 0001010 => [3,1,1,1,1] => 427
[1,2,3,6,8,7,4,5] => 0000110 => [4,2,1] => 85
[1,2,3,7,8,4,6,5] => 0000101 => [4,1,1,1] => 145
[1,2,3,6,8,4,7,5] => 0000101 => [4,1,1,1] => 145
[1,2,3,7,8,6,4,5] => 0000110 => [4,2,1] => 85
[6,2,8,3,7,5,1,4] => 1010110 => [1,1,1,1,2,1] => 1023
[4,2,8,3,7,5,6,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,3,4,8,6,5,1,2] => 1001110 => [1,2,3,1] => 262
[5,3,4,8,7,2,6,1] => 1001101 => [1,2,2,1,1] => 594
[4,3,5,8,7,2,6,1] => 1001101 => [1,2,2,1,1] => 594
[4,6,3,8,5,7,2,1] => 0101011 => [1,1,1,1,1,2] => 1023
[7,5,3,8,6,2,4,1] => 1101101 => [2,1,2,1,1] => 594
[2,6,8,3,7,4,5,1] => 0010101 => [2,1,1,1,1,1] => 969
[1,8,4,3,7,5,6,2] => 0110101 => [1,2,1,1,1,1] => 969
[2,5,8,3,7,4,6,1] => 0010101 => [2,1,1,1,1,1] => 969
[7,4,3,8,6,2,5,1] => 1101101 => [2,1,2,1,1] => 594
[3,5,4,8,7,2,6,1] => 0101101 => [1,1,1,2,1,1] => 1006
[4,5,3,8,6,7,2,1] => 0101011 => [1,1,1,1,1,2] => 1023
[3,6,7,8,4,5,2,1] => 0001011 => [3,1,1,2] => 259
[2,6,8,5,4,7,3,1] => 0011011 => [2,2,1,2] => 357
[1,8,5,6,4,7,3,2] => 0101011 => [1,1,1,1,1,2] => 1023
[2,5,8,6,4,7,3,1] => 0011011 => [2,2,1,2] => 357
[7,4,6,5,8,3,2,1] => 1010111 => [1,1,1,1,3] => 450
[6,3,7,8,4,5,2,1] => 1001011 => [1,2,1,1,2] => 603
[4,3,7,8,5,6,2,1] => 1001011 => [1,2,1,1,2] => 603
[5,2,8,6,4,7,3,1] => 1011011 => [1,1,2,1,2] => 611
[4,2,8,6,5,7,3,1] => 1011011 => [1,1,2,1,2] => 611
[3,2,8,6,7,4,5,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[2,3,8,7,5,4,6,1] => 0011101 => [2,3,1,1] => 256
[1,8,2,7,4,5,6,3] => 0101001 => [1,1,1,1,2,1] => 1023
[7,2,8,6,3,4,5,1] => 1011001 => [1,1,2,2,1] => 611
[6,2,8,4,5,7,3,1] => 1010011 => [1,1,1,2,2] => 622
[5,2,8,4,6,7,3,1] => 1010011 => [1,1,1,2,2] => 622
[4,2,8,5,6,7,3,1] => 1010011 => [1,1,1,2,2] => 622
[4,3,6,8,5,7,2,1] => 1001011 => [1,2,1,1,2] => 603
[3,4,6,8,7,2,5,1] => 0001101 => [3,2,1,1] => 256
[7,3,5,8,6,2,4,1] => 1001101 => [1,2,2,1,1] => 594
[1,8,3,5,7,4,6,2] => 0100101 => [1,1,2,1,1,1] => 984
[2,7,8,4,5,6,3,1] => 0010011 => [2,1,2,2] => 363
[3,7,5,8,4,6,2,1] => 0101011 => [1,1,1,1,1,2] => 1023
[5,7,4,6,8,3,2,1] => 0100111 => [1,1,2,3] => 265
[3,6,5,8,4,7,2,1] => 0101011 => [1,1,1,1,1,2] => 1023
[2,6,8,4,5,7,3,1] => 0010011 => [2,1,2,2] => 363
[4,2,7,1,3,8,5,6] => 1010010 => [1,1,1,2,1,1] => 1006
[4,2,5,1,3,8,6,7] => 1010010 => [1,1,1,2,1,1] => 1006
[5,3,6,1,7,2,4,8] => 1010100 => [1,1,1,1,1,2] => 1023
[3,7,1,2,5,8,6,4] => 0100011 => [1,1,3,2] => 265
[3,7,4,1,2,8,5,6] => 0110010 => [1,2,2,1,1] => 594
[7,5,1,3,4,8,6,2] => 1100011 => [2,3,2] => 153
[7,5,1,2,4,8,6,3] => 1100011 => [2,3,2] => 153
[6,4,2,3,7,1,5,8] => 1100100 => [2,2,1,2] => 357
[7,6,3,8,1,2,5,4] => 1101001 => [2,1,1,2,1] => 603
[7,4,2,3,8,1,6,5] => 1100101 => [2,2,1,1,1] => 582
[4,7,5,2,8,1,3,6] => 0110100 => [1,2,1,1,2] => 603
[8,2,6,3,7,1,4,5] => 1010100 => [1,1,1,1,1,2] => 1023
[8,6,1,2,7,4,5,3] => 1100101 => [2,2,1,1,1] => 582
[8,4,7,1,2,3,6,5] => 1010001 => [1,1,1,3,1] => 450
[8,5,7,1,2,4,6,3] => 1010001 => [1,1,1,3,1] => 450
[8,5,7,1,3,4,6,2] => 1010001 => [1,1,1,3,1] => 450
[8,6,2,7,1,3,5,4] => 1101001 => [2,1,1,2,1] => 603
[3,8,5,6,1,2,4,7] => 0101000 => [1,1,1,1,3] => 450
[3,7,5,8,1,2,4,6] => 0101000 => [1,1,1,1,3] => 450
[7,6,4,8,1,3,5,2] => 1101001 => [2,1,1,2,1] => 603
[6,5,8,1,2,4,7,3] => 1010001 => [1,1,1,3,1] => 450
[3,6,8,1,2,5,7,4] => 0010001 => [2,1,3,1] => 262
[3,7,2,4,8,1,6,5] => 0100101 => [1,1,2,1,1,1] => 984
[4,6,3,8,1,2,5,7] => 0101000 => [1,1,1,1,3] => 450
[4,6,3,7,1,2,5,8] => 0101000 => [1,1,1,1,3] => 450
[4,1,7,8,2,3,6,5] => 1001001 => [1,2,1,2,1] => 603
[5,1,2,8,6,3,4,7] => 1001100 => [1,2,2,2] => 363
[5,3,8,1,6,2,4,7] => 1010100 => [1,1,1,1,1,2] => 1023
[6,1,8,5,2,3,4,7] => 1011000 => [1,1,2,3] => 265
[6,1,7,5,2,3,4,8] => 1011000 => [1,1,2,3] => 265
[6,8,1,3,7,4,5,2] => 0100101 => [1,1,2,1,1,1] => 984
[7,2,8,1,6,3,4,5] => 1010100 => [1,1,1,1,1,2] => 1023
[4,7,8,2,5,1,3,6] => 0010100 => [2,1,1,1,2] => 603
[6,8,2,7,1,4,5,3] => 0101001 => [1,1,1,1,2,1] => 1023
[4,8,7,1,3,5,6,2] => 0110001 => [1,2,3,1] => 262
[3,8,7,1,2,4,6,5] => 0110001 => [1,2,3,1] => 262
[4,8,7,1,2,3,6,5] => 0110001 => [1,2,3,1] => 262
[5,8,7,1,2,4,6,3] => 0110001 => [1,2,3,1] => 262
[5,8,7,1,3,4,6,2] => 0110001 => [1,2,3,1] => 262
[7,1,8,6,2,3,5,4] => 1011001 => [1,1,2,2,1] => 611
[5,8,6,4,1,2,3,7] => 0111000 => [1,3,3] => 110
[7,8,4,1,2,5,3,6] => 0110010 => [1,2,2,1,1] => 594
[7,8,1,2,6,5,3,4] => 0100110 => [1,1,2,2,1] => 611
[1,4,8,2,7,5,3,6] => 0010110 => [2,1,1,2,1] => 603
[6,1,3,4,7,2,5,8] => 1000100 => [1,3,1,2] => 259
[7,8,2,1,6,3,5,4] => 0110101 => [1,2,1,1,1,1] => 969
[6,1,2,7,5,4,3,8] => 1001110 => [1,2,3,1] => 262
[1,2,8,7,5,4,3,6] => 0011110 => [2,4,1] => 85
[5,1,7,3,6,4,8,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,2,1,5,7,4,3,8] => 1100110 => [2,2,2,1] => 357
[6,2,3,7,4,1,5,8] => 1001100 => [1,2,2,2] => 363
[3,4,8,7,5,6,1,2] => 0011010 => [2,2,1,1,1] => 582
[2,3,8,7,4,1,5,6] => 0011100 => [2,3,2] => 153
[2,7,3,8,6,4,1,5] => 0101110 => [1,1,1,3,1] => 450
[1,8,3,7,6,4,5,2] => 0101101 => [1,1,1,2,1,1] => 1006
[5,2,7,1,4,6,8,3] => 1010001 => [1,1,1,3,1] => 450
[4,6,7,5,2,1,8,3] => 0011101 => [2,3,1,1] => 256
[6,3,1,4,5,7,8,2] => 1100001 => [2,4,1] => 85
[5,3,1,4,6,2,7,8] => 1100100 => [2,2,1,2] => 357
[5,1,2,4,7,6,8,3] => 1000101 => [1,3,1,1,1] => 427
[5,7,4,1,2,6,3,8] => 0110010 => [1,2,2,1,1] => 594
[4,8,1,2,6,7,3,5] => 0100010 => [1,1,3,1,1] => 439
[4,1,7,8,2,6,3,5] => 1001010 => [1,2,1,1,1,1] => 969
[1,2,8,7,6,5,3,4] => 0011110 => [2,4,1] => 85
[3,1,2,4,6,8,7,5] => 1000011 => [1,4,2] => 85
[3,1,8,4,5,7,6,2] => 1010011 => [1,1,1,2,2] => 622
[3,2,8,5,4,7,1,6] => 1011010 => [1,1,2,1,1,1] => 984
[4,2,8,1,5,3,7,6] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,3,8,5,7,6,1,2] => 1010110 => [1,1,1,1,2,1] => 1023
[4,8,2,1,6,3,7,5] => 0110101 => [1,2,1,1,1,1] => 969
[3,8,6,5,2,7,1,4] => 0111010 => [1,3,1,1,1] => 427
[3,8,5,6,1,7,4,2] => 0101011 => [1,1,1,1,1,2] => 1023
[3,5,7,8,1,2,6,4] => 0001001 => [3,1,2,1] => 259
[3,7,8,5,2,1,6,4] => 0011101 => [2,3,1,1] => 256
[3,7,2,8,4,1,6,5] => 0101101 => [1,1,1,2,1,1] => 1006
[2,8,1,7,4,6,5,3] => 0101011 => [1,1,1,1,1,2] => 1023
[2,8,7,5,1,6,4,3] => 0111011 => [1,3,1,2] => 259
[2,8,6,7,5,1,4,3] => 0101101 => [1,1,1,2,1,1] => 1006
[5,1,3,4,6,7,2,8] => 1000010 => [1,4,1,1] => 145
[1,3,4,8,7,5,2,6] => 0001110 => [3,3,1] => 110
[8,2,4,1,7,3,5,6] => 1010100 => [1,1,1,1,1,2] => 1023
[8,6,1,4,2,3,7,5] => 1101001 => [2,1,1,2,1] => 603
[3,6,1,4,2,8,7,5] => 0101011 => [1,1,1,1,1,2] => 1023
[1,6,8,4,3,7,2,5] => 0011010 => [2,2,1,1,1] => 582
[3,1,4,7,8,5,2,6] => 1000110 => [1,3,2,1] => 259
[6,1,7,4,3,8,2,5] => 1011010 => [1,1,2,1,1,1] => 984
[1,8,7,4,3,6,2,5] => 0111010 => [1,3,1,1,1] => 427
[7,4,1,3,8,2,6,5] => 1100101 => [2,2,1,1,1] => 582
[4,8,2,3,1,5,7,6] => 0101001 => [1,1,1,1,2,1] => 1023
[4,8,6,2,1,3,7,5] => 0111001 => [1,3,2,1] => 259
[2,7,4,1,8,3,5,6] => 0110100 => [1,2,1,1,2] => 603
[1,7,8,4,2,3,6,5] => 0011001 => [2,2,2,1] => 357
[4,7,1,3,8,2,6,5] => 0100101 => [1,1,2,1,1,1] => 984
[8,7,1,3,4,2,6,5] => 1100101 => [2,2,1,1,1] => 582
[1,7,4,3,6,2,8,5] => 0110101 => [1,2,1,1,1,1] => 969
[3,8,6,4,5,2,1,7] => 0110110 => [1,2,1,2,1] => 603
[3,8,4,6,5,2,1,7] => 0101110 => [1,1,1,3,1] => 450
[2,4,3,7,5,8,1,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,4,7,3,6,2,8,5] => 0010101 => [2,1,1,1,1,1] => 969
[1,8,3,4,2,6,7,5] => 0101001 => [1,1,1,1,2,1] => 1023
[6,4,1,3,7,2,8,5] => 1100101 => [2,2,1,1,1] => 582
[8,1,4,3,6,2,7,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,2,3,8,5,7,1,6] => 1001010 => [1,2,1,1,1,1] => 969
[2,8,5,7,3,4,1,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,8,2,6,4,3,1,7] => 0101110 => [1,1,1,3,1] => 450
[7,2,5,8,4,3,1,6] => 1001110 => [1,2,3,1] => 262
[4,2,3,5,8,7,1,6] => 1000110 => [1,3,2,1] => 259
[8,2,3,5,4,7,1,6] => 1001010 => [1,2,1,1,1,1] => 969
[6,1,8,3,4,2,7,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[1,8,6,4,2,3,7,5] => 0111001 => [1,3,2,1] => 259
[3,8,4,5,6,2,1,7] => 0100110 => [1,1,2,2,1] => 611
[2,4,3,5,7,8,1,6] => 0100010 => [1,1,3,1,1] => 439
[3,8,6,5,4,2,1,7] => 0111110 => [1,5,1] => 37
[6,3,1,4,2,8,7,5] => 1101011 => [2,1,1,1,2] => 603
[7,3,8,1,2,6,4,5] => 1010010 => [1,1,1,2,1,1] => 1006
[7,1,4,5,3,2,6,8] => 1001100 => [1,2,2,2] => 363
[1,8,4,2,6,5,3,7] => 0110110 => [1,2,1,2,1] => 603
[5,1,4,8,6,3,2,7] => 1001110 => [1,2,3,1] => 262
[5,3,1,8,4,7,2,6] => 1101010 => [2,1,1,1,1,1] => 969
[4,3,8,1,5,7,2,6] => 1010010 => [1,1,1,2,1,1] => 1006
[6,3,1,2,5,7,4,8] => 1100010 => [2,3,1,1] => 256
[7,1,4,2,6,5,3,8] => 1010110 => [1,1,1,1,2,1] => 1023
[3,8,4,1,6,5,2,7] => 0110110 => [1,2,1,2,1] => 603
[7,5,3,6,4,8,2,1] => 1101011 => [2,1,1,1,2] => 603
[7,3,6,4,5,8,2,1] => 1010011 => [1,1,1,2,2] => 622
[8,7,2,4,5,1,6,3] => 1100101 => [2,2,1,1,1] => 582
[7,1,5,4,8,6,3,2] => 1010111 => [1,1,1,1,3] => 450
[2,7,5,4,8,6,3,1] => 0110111 => [1,2,1,3] => 262
[2,1,8,7,5,3,6,4] => 1011101 => [1,1,3,1,1] => 439
[5,8,3,7,4,1,6,2] => 0101101 => [1,1,1,2,1,1] => 1006
[8,1,7,4,2,6,5,3] => 1011011 => [1,1,2,1,2] => 611
[5,6,3,1,8,4,7,2] => 0110101 => [1,2,1,1,1,1] => 969
[5,7,1,4,8,6,3,2] => 0100111 => [1,1,2,3] => 265
[3,5,7,4,8,6,2,1] => 0010111 => [2,1,1,3] => 262
[2,6,7,4,5,8,3,1] => 0010011 => [2,1,2,2] => 363
[6,1,7,4,5,8,3,2] => 1010011 => [1,1,1,2,2] => 622
[5,3,7,4,8,6,2,1] => 1010111 => [1,1,1,1,3] => 450
[8,5,3,6,1,4,7,2] => 1101001 => [2,1,1,2,1] => 603
[5,4,3,6,8,2,7,1] => 1100101 => [2,2,1,1,1] => 582
[6,5,3,7,4,8,2,1] => 1101011 => [2,1,1,1,2] => 603
[7,5,8,4,1,6,3,2] => 1011011 => [1,1,2,1,2] => 611
[2,7,8,4,5,1,6,3] => 0010101 => [2,1,1,1,1,1] => 969
[5,7,3,8,4,1,6,2] => 0101101 => [1,1,1,2,1,1] => 1006
[5,6,3,8,1,4,7,2] => 0101001 => [1,1,1,1,2,1] => 1023
[8,4,1,2,5,6,7,3] => 1100001 => [2,4,1] => 85
[3,7,8,4,1,6,5,2] => 0011011 => [2,2,1,2] => 357
[6,8,3,1,2,5,7,4] => 0110001 => [1,2,3,1] => 262
[8,7,1,4,5,2,6,3] => 1100101 => [2,2,1,1,1] => 582
[8,7,3,1,5,4,2,6] => 1110110 => [3,1,2,1] => 259
[3,6,2,1,5,4,8,7] => 0110101 => [1,2,1,1,1,1] => 969
[5,4,2,6,1,3,8,7] => 1101001 => [2,1,1,2,1] => 603
[3,2,6,5,1,4,8,7] => 1011001 => [1,1,2,2,1] => 611
[2,5,8,1,7,4,3,6] => 0010110 => [2,1,1,2,1] => 603
[6,8,2,7,4,3,1,5] => 0101110 => [1,1,1,3,1] => 450
[6,8,2,3,7,5,1,4] => 0100110 => [1,1,2,2,1] => 611
[7,6,2,5,4,8,1,3] => 1101010 => [2,1,1,1,1,1] => 969
[2,6,5,1,8,4,3,7] => 0110110 => [1,2,1,2,1] => 603
[4,2,7,3,1,8,5,6] => 1011010 => [1,1,2,1,1,1] => 984
[4,2,3,7,1,5,8,6] => 1001001 => [1,2,1,2,1] => 603
[5,2,7,3,8,6,1,4] => 1010110 => [1,1,1,1,2,1] => 1023
[2,1,5,8,4,3,7,6] => 1001101 => [1,2,2,1,1] => 594
[5,8,4,2,6,7,1,3] => 0110010 => [1,2,2,1,1] => 594
[3,2,4,8,1,5,7,6] => 1001001 => [1,2,1,2,1] => 603
[2,4,8,3,1,7,5,6] => 0011010 => [2,2,1,1,1] => 582
[4,8,3,2,1,7,6,5] => 0111011 => [1,3,1,2] => 259
[4,1,3,7,2,6,8,5] => 1001001 => [1,2,1,2,1] => 603
[3,4,8,2,1,6,5,7] => 0011010 => [2,2,1,1,1] => 582
[6,8,3,7,2,1,5,4] => 0101101 => [1,1,1,2,1,1] => 1006
[3,5,8,1,7,2,6,4] => 0010101 => [2,1,1,1,1,1] => 969
[5,1,7,4,6,8,3,2] => 1010011 => [1,1,1,2,2] => 622
[7,6,4,8,1,5,3,2] => 1101011 => [2,1,1,1,2] => 603
[5,3,7,1,8,2,6,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[2,7,6,3,8,1,4,5] => 0110100 => [1,2,1,1,2] => 603
[2,1,7,6,4,8,3,5] => 1011010 => [1,1,2,1,1,1] => 984
[2,1,5,4,8,7,3,6] => 1010110 => [1,1,1,1,2,1] => 1023
[5,4,8,7,2,6,1,3] => 1011010 => [1,1,2,1,1,1] => 984
[2,4,3,8,7,1,5,6] => 0101100 => [1,1,1,2,2] => 622
[3,4,1,8,6,2,7,5] => 0101101 => [1,1,1,2,1,1] => 1006
[3,8,5,4,2,1,7,6] => 0111101 => [1,4,1,1] => 145
[4,8,6,5,2,7,1,3] => 0111010 => [1,3,1,1,1] => 427
[3,2,8,7,5,4,1,6] => 1011110 => [1,1,4,1] => 148
[2,8,6,5,4,3,1,7] => 0111110 => [1,5,1] => 37
[5,4,2,6,3,1,8,7] => 1101101 => [2,1,2,1,1] => 594
[6,5,2,1,3,4,8,7] => 1110001 => [3,3,1] => 110
[8,5,2,7,3,1,4,6] => 1101100 => [2,1,2,2] => 363
[7,3,6,5,2,8,4,1] => 1011011 => [1,1,2,1,2] => 611
[7,6,2,3,4,8,5,1] => 1100011 => [2,3,2] => 153
[8,7,5,3,1,4,2,6] => 1111010 => [4,1,1,1] => 145
[7,1,5,3,8,4,6,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,7,2,3,5,8,4,1] => 0100011 => [1,1,3,2] => 265
[3,7,6,4,2,8,5,1] => 0111011 => [1,3,1,2] => 259
[2,1,7,6,4,8,5,3] => 1011011 => [1,1,2,1,2] => 611
[2,1,8,7,4,3,5,6] => 1011100 => [1,1,3,2] => 265
[5,8,3,7,2,1,4,6] => 0101100 => [1,1,1,2,2] => 622
[3,8,7,4,2,1,5,6] => 0111100 => [1,4,2] => 85
[7,8,2,3,5,1,4,6] => 0100100 => [1,1,2,1,2] => 611
[2,8,6,3,1,4,7,5] => 0111001 => [1,3,2,1] => 259
[8,1,6,3,2,4,5,7] => 1011000 => [1,1,2,3] => 265
[5,7,1,4,8,3,6,2] => 0100101 => [1,1,2,1,1,1] => 984
[6,1,7,5,4,8,3,2] => 1011011 => [1,1,2,1,2] => 611
[6,3,7,5,8,4,2,1] => 1010111 => [1,1,1,1,3] => 450
[7,6,1,5,8,3,4,2] => 1100101 => [2,2,1,1,1] => 582
[8,6,7,5,1,3,2,4] => 1011010 => [1,1,2,1,1,1] => 984
[8,5,2,6,1,7,3,4] => 1101010 => [2,1,1,1,1,1] => 969
[5,4,2,6,8,3,7,1] => 1100101 => [2,2,1,1,1] => 582
[6,5,2,8,1,4,3,7] => 1101010 => [2,1,1,1,1,1] => 969
[7,4,2,8,1,3,6,5] => 1101001 => [2,1,1,2,1] => 603
[2,7,8,4,5,1,3,6] => 0010100 => [2,1,1,1,2] => 603
[5,7,3,8,4,1,2,6] => 0101100 => [1,1,1,2,2] => 622
[2,4,8,1,5,6,3,7] => 0010010 => [2,1,2,1,1] => 594
[3,4,8,1,5,2,7,6] => 0010101 => [2,1,1,1,1,1] => 969
[3,6,8,4,1,2,7,5] => 0011001 => [2,2,2,1] => 357
[4,8,1,2,5,3,6,7] => 0100100 => [1,1,2,1,2] => 611
[8,1,2,4,3,5,6,7] => 1001000 => [1,2,1,3] => 262
[2,3,5,6,4,7,8,9,1] => 00010001 => [3,1,3,1] => 676
[2,3,6,4,5,7,8,9,1] => 00100001 => [2,1,4,1] => 534
[9,1,2,4,5,3,6,7,8] => 10001000 => [1,3,1,3] => 676
[5,8,7,4,6,3,2,1] => 0110111 => [1,2,1,3] => 262
[4,8,7,6,3,5,2,1] => 0111011 => [1,3,1,2] => 259
[3,8,7,6,5,2,4,1] => 0111101 => [1,4,1,1] => 145
[7,9,6,8,5,4,3,2,1] => 01011111 => [1,1,1,5] => 244
[5,8,4,7,6,3,2,1] => 0101111 => [1,1,1,4] => 148
[6,9,8,5,7,4,3,2,1] => 01101111 => [1,2,1,4] => 534
[6,8,5,4,7,3,2,1] => 0110111 => [1,2,1,3] => 262
[5,9,8,7,4,6,3,2,1] => 01110111 => [1,3,1,3] => 676
[3,8,7,6,2,5,4,1] => 0111011 => [1,3,1,2] => 259
[4,9,8,7,6,3,5,2,1] => 01111011 => [1,4,1,2] => 526
[4,8,7,6,3,2,5,1] => 0111101 => [1,4,1,1] => 145
[3,9,8,7,6,5,2,4,1] => 01111101 => [1,5,1,1] => 240
[3,8,7,6,5,2,1,4] => 0111110 => [1,5,1] => 37
[8,6,9,7,4,5,2,3,1] => 10110101 => [1,1,2,1,1,1,1] => 6040
[8,6,9,4,7,5,2,3,1] => 10101101 => [1,1,1,1,2,1,1] => 6264
[8,6,9,4,7,2,5,3,1] => 10101011 => [1,1,1,1,1,1,2] => 6344
[8,6,9,4,7,3,5,1,2] => 10101010 => [1,1,1,1,1,1,1,1] => 10176
[8,6,9,5,7,3,4,1,2] => 10101010 => [1,1,1,1,1,1,1,1] => 10176
[8,7,9,5,6,3,4,1,2] => 10101010 => [1,1,1,1,1,1,1,1] => 10176
[8,6,4,9,7,5,2,3,1] => 11011101 => [2,1,3,1,1] => 1580
[8,6,9,4,2,7,5,3,1] => 10110111 => [1,1,2,1,3] => 1626
[8,6,9,4,7,2,1,5,3] => 10101101 => [1,1,1,1,2,1,1] => 6264
[7,5,8,4,6,3,1,2] => 1010110 => [1,1,1,1,2,1] => 1023
[8,6,9,4,7,3,5,2,1] => 10101011 => [1,1,1,1,1,1,2] => 6344
[8,6,9,5,7,2,4,1,3] => 10101010 => [1,1,1,1,1,1,1,1] => 10176
[7,6,8,2,5,1,4,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,7,9,4,6,3,5,1,2] => 10101010 => [1,1,1,1,1,1,1,1] => 10176
[9,6,8,5,7,3,4,1,2] => 10101010 => [1,1,1,1,1,1,1,1] => 10176
[3,5,2,4,7,6,1,8] => 0100110 => [1,1,2,2,1] => 611
[3,5,4,7,2,6,1,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,5,4,7,6,1,2,8] => 0101100 => [1,1,1,2,2] => 622
[3,5,4,7,6,1,8,2] => 0101101 => [1,1,1,2,1,1] => 1006
[3,5,7,4,6,1,8,2] => 0010101 => [2,1,1,1,1,1] => 969
[3,5,7,4,6,1,2,8] => 0010100 => [2,1,1,1,2] => 603
[3,5,7,4,6,2,1,8] => 0010110 => [2,1,1,2,1] => 603
[3,2,5,7,4,6,1,8] => 1001010 => [1,2,1,1,1,1] => 969
[3,5,2,7,6,4,1,8] => 0101110 => [1,1,1,3,1] => 450
[3,5,7,2,6,4,1,8] => 0010110 => [2,1,1,2,1] => 603
[5,3,7,6,2,4,1,8] => 1011010 => [1,1,2,1,1,1] => 984
[5,3,7,6,1,2,8,4] => 1011001 => [1,1,2,2,1] => 611
[5,3,7,6,1,4,2,8] => 1011010 => [1,1,2,1,1,1] => 984
[5,3,7,6,4,1,2,8] => 1011100 => [1,1,3,2] => 265
[3,5,7,2,6,1,4,8] => 0010100 => [2,1,1,1,2] => 603
[3,5,2,7,6,1,4,8] => 0101100 => [1,1,1,2,2] => 622
[5,3,7,6,4,1,8,2] => 1011101 => [1,1,3,1,1] => 439
[3,7,5,4,1,8,2,6] => 0111010 => [1,3,1,1,1] => 427
[3,7,5,4,1,8,6,2] => 0111011 => [1,3,1,2] => 259
[3,7,5,1,4,8,6,2] => 0110011 => [1,2,2,2] => 363
[3,7,5,1,4,8,2,6] => 0110010 => [1,2,2,1,1] => 594
[3,5,7,1,2,6,8,4] => 0010001 => [2,1,3,1] => 262
[3,5,7,2,1,6,8,4] => 0011001 => [2,2,2,1] => 357
[3,5,2,7,1,6,4,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,5,7,2,1,6,4,8] => 0011010 => [2,2,1,1,1] => 582
[5,3,7,1,6,2,4,8] => 1010100 => [1,1,1,1,1,2] => 1023
[3,5,7,1,4,6,8,2] => 0010001 => [2,1,3,1] => 262
[3,5,7,1,4,6,2,8] => 0010010 => [2,1,2,1,1] => 594
[3,5,7,1,4,2,6,8] => 0010100 => [2,1,1,1,2] => 603
[3,5,7,2,1,4,6,8] => 0011000 => [2,2,3] => 153
[3,5,2,7,1,4,6,8] => 0101000 => [1,1,1,1,3] => 450
[3,2,5,7,4,1,6,8] => 1001100 => [1,2,2,2] => 363
[3,5,2,7,4,1,6,8] => 0101100 => [1,1,1,2,2] => 622
[3,5,7,4,2,1,6,8] => 0011100 => [2,3,2] => 153
[3,5,7,4,1,2,6,8] => 0011000 => [2,2,3] => 153
[3,5,4,7,1,6,8,2] => 0101001 => [1,1,1,1,2,1] => 1023
[3,5,4,7,1,2,6,8] => 0101000 => [1,1,1,1,3] => 450
[3,5,4,7,2,1,6,8] => 0101100 => [1,1,1,2,2] => 622
[3,5,4,2,7,1,6,8] => 0110100 => [1,2,1,1,2] => 603
[3,2,5,4,7,1,6,8] => 1010100 => [1,1,1,1,1,2] => 1023
[3,5,4,7,2,1,8,6] => 0101101 => [1,1,1,2,1,1] => 1006
[3,5,4,7,1,2,8,6] => 0101001 => [1,1,1,1,2,1] => 1023
[5,7,6,3,1,8,4,2] => 0111011 => [1,3,1,2] => 259
[5,7,6,3,1,8,2,4] => 0111010 => [1,3,1,1,1] => 427
[3,5,7,4,1,2,8,6] => 0011001 => [2,2,2,1] => 357
[3,5,7,4,2,1,8,6] => 0011101 => [2,3,1,1] => 256
[3,2,5,7,4,1,8,6] => 1001101 => [1,2,2,1,1] => 594
[3,2,5,7,1,4,8,6] => 1001001 => [1,2,1,2,1] => 603
[3,5,2,7,1,4,8,6] => 0101001 => [1,1,1,1,2,1] => 1023
[3,5,7,2,1,4,8,6] => 0011001 => [2,2,2,1] => 357
[3,5,7,1,4,2,8,6] => 0010101 => [2,1,1,1,1,1] => 969
[3,7,5,2,1,8,6,4] => 0111011 => [1,3,1,2] => 259
[3,7,2,5,1,8,6,4] => 0101011 => [1,1,1,1,1,2] => 1023
[3,2,7,5,1,8,6,4] => 1011011 => [1,1,2,1,2] => 611
[3,2,7,5,1,8,4,6] => 1011010 => [1,1,2,1,1,1] => 984
[3,7,2,5,1,8,4,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,7,5,2,1,8,4,6] => 0111010 => [1,3,1,1,1] => 427
[6,1,2,5,7,4,8,3] => 1000101 => [1,3,1,1,1] => 427
[6,3,2,7,4,1,8,5] => 1101101 => [2,1,2,1,1] => 594
[2,1,7,5,8,4,6,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[2,7,3,6,8,4,1,5] => 0100110 => [1,1,2,2,1] => 611
[2,1,8,3,4,7,5,6] => 1010010 => [1,1,1,2,1,1] => 1006
[5,1,7,2,4,8,3,6] => 1010010 => [1,1,1,2,1,1] => 1006
[3,4,2,6,7,1,8,5] => 0100101 => [1,1,2,1,1,1] => 984
[3,5,8,7,2,1,6,4] => 0011101 => [2,3,1,1] => 256
[1,3,4,5,6,7,9,2,8] => 00000010 => [6,1,1] => 50
[2,3,4,5,6,7,1,9,8] => 00000101 => [5,1,1,1] => 240
[2,1,4,5,6,7,8,9,3] => 10000001 => [1,6,1] => 50
[3,1,4,5,6,7,8,2,9] => 10000010 => [1,5,1,1] => 240
[5,8,3,4,1,7,6,2] => 0101011 => [1,1,1,1,1,2] => 1023
[5,8,7,2,4,1,6,3] => 0110101 => [1,2,1,1,1,1] => 969
[3,8,6,4,1,7,5,2] => 0111011 => [1,3,1,2] => 259
[4,3,5,6,8,1,7,2] => 1000101 => [1,3,1,1,1] => 427
[3,7,6,4,1,8,5,2] => 0111011 => [1,3,1,2] => 259
[3,7,4,1,8,6,5,2] => 0110111 => [1,2,1,3] => 262
[3,8,4,1,7,6,5,2] => 0110111 => [1,2,1,3] => 262
[3,2,7,6,1,5,4,8] => 1011010 => [1,1,2,1,1,1] => 984
[3,2,8,7,6,1,5,4] => 1011101 => [1,1,3,1,1] => 439
[5,7,8,2,4,1,6,3] => 0010101 => [2,1,1,1,1,1] => 969
[4,2,5,8,1,6,7,3] => 1001001 => [1,2,1,2,1] => 603
[4,2,5,8,1,7,3,6] => 1001010 => [1,2,1,1,1,1] => 969
[5,8,2,4,1,6,3,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[8,4,2,6,5,1,3,7] => 1101100 => [2,1,2,2] => 363
[3,2,6,8,1,5,4,7] => 1001010 => [1,2,1,1,1,1] => 969
[8,3,2,5,6,1,4,7] => 1100100 => [2,2,1,2] => 357
[3,2,8,6,7,1,5,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[3,2,6,8,7,1,5,4] => 1001101 => [1,2,2,1,1] => 594
[3,2,6,7,1,5,4,8] => 1001010 => [1,2,1,1,1,1] => 969
[8,7,3,2,5,6,1,4] => 1110010 => [3,2,1,1] => 256
[7,2,8,1,5,3,6,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,4,2,7,5,1,3,6] => 1101100 => [2,1,2,2] => 363
[7,4,2,8,5,1,3,6] => 1101100 => [2,1,2,2] => 363
[7,2,4,1,8,3,6,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[3,2,8,5,7,1,4,6] => 1010100 => [1,1,1,1,1,2] => 1023
[2,6,5,7,1,8,3,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,5,1,8,7,4,3,6] => 0101110 => [1,1,1,3,1] => 450
[8,1,4,6,3,5,2,7] => 1001010 => [1,2,1,1,1,1] => 969
[8,3,5,4,1,6,2,7] => 1011010 => [1,1,2,1,1,1] => 984
[8,6,3,4,1,5,2,7] => 1101010 => [2,1,1,1,1,1] => 969
[5,4,7,6,8,2,3,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,1,8,2,3,7,6,5] => 1010011 => [1,1,1,2,2] => 622
[2,1,8,5,3,4,7,6] => 1011001 => [1,1,2,2,1] => 611
[5,2,4,6,8,7,3,1] => 1000111 => [1,3,3] => 110
[1,6,8,3,4,5,7,2] => 0010001 => [2,1,3,1] => 262
[5,7,4,8,6,1,3,2] => 0101101 => [1,1,1,2,1,1] => 1006
[5,4,2,6,7,8,1,3] => 1100010 => [2,3,1,1] => 256
[6,4,2,7,3,5,8,1] => 1101001 => [2,1,1,2,1] => 603
[7,4,1,8,3,5,6,2] => 1101001 => [2,1,1,2,1] => 603
[6,5,4,8,7,3,1,2] => 1101110 => [2,1,3,1] => 262
[8,7,4,2,1,3,6,5] => 1111001 => [4,2,1] => 85
[8,7,1,3,2,5,6,4] => 1101001 => [2,1,1,2,1] => 603
[6,8,2,3,1,7,5,4] => 0101011 => [1,1,1,1,1,2] => 1023
[7,4,3,2,6,8,5,1] => 1110011 => [3,2,2] => 153
[2,7,4,3,8,5,6,1] => 0110101 => [1,2,1,1,1,1] => 969
[8,3,7,2,1,5,6,4] => 1011001 => [1,1,2,2,1] => 611
[5,7,8,2,4,3,1,6] => 0010110 => [2,1,1,2,1] => 603
[8,4,7,3,2,6,1,5] => 1011010 => [1,1,2,1,1,1] => 984
[8,3,1,6,7,4,2,5] => 1100110 => [2,2,2,1] => 357
[3,2,5,7,4,8,1,6] => 1001010 => [1,2,1,1,1,1] => 969
[8,2,7,3,4,1,5,6] => 1010100 => [1,1,1,1,1,2] => 1023
[7,1,6,3,5,8,2,4] => 1010010 => [1,1,1,2,1,1] => 1006
[2,8,5,6,7,1,4,3] => 0100101 => [1,1,2,1,1,1] => 984
[1,5,2,7,8,6,4,3] => 0100111 => [1,1,2,3] => 265
[2,6,8,5,1,4,7,3] => 0011001 => [2,2,2,1] => 357
[1,4,2,8,6,5,7,3] => 0101101 => [1,1,1,2,1,1] => 1006
[3,5,1,6,8,7,2,4] => 0100110 => [1,1,2,2,1] => 611
[5,7,6,2,1,3,8,4] => 0111001 => [1,3,2,1] => 259
[2,5,8,7,4,1,6,3] => 0011101 => [2,3,1,1] => 256
[4,1,7,5,2,6,8,3] => 1011001 => [1,1,2,2,1] => 611
[7,6,2,4,5,1,8,3] => 1100101 => [2,2,1,1,1] => 582
[7,3,4,2,5,8,6,1] => 1010011 => [1,1,1,2,2] => 622
[8,7,4,2,5,1,6,3] => 1110101 => [3,1,1,1,1] => 427
[8,1,4,5,2,6,7,3] => 1001001 => [1,2,1,2,1] => 603
[5,2,4,8,6,7,1,3] => 1001010 => [1,2,1,1,1,1] => 969
[8,5,6,2,1,3,7,4] => 1011001 => [1,1,2,2,1] => 611
[4,2,1,5,6,7,8,3] => 1100001 => [2,4,1] => 85
[3,4,6,5,1,7,8,2] => 0011001 => [2,2,2,1] => 357
[7,3,5,2,4,6,1,8] => 1010010 => [1,1,1,2,1,1] => 1006
[5,3,7,2,4,6,1,8] => 1010010 => [1,1,1,2,1,1] => 1006
[3,7,5,2,4,6,1,8] => 0110010 => [1,2,2,1,1] => 594
[5,7,3,2,4,6,1,8] => 0110010 => [1,2,2,1,1] => 594
[1,5,3,2,4,7,6,8] => 0110010 => [1,2,2,1,1] => 594
[1,5,3,2,7,4,6,8] => 0110100 => [1,2,1,1,2] => 603
[5,7,3,2,1,4,6,8] => 0111000 => [1,3,3] => 110
[5,7,3,2,4,1,6,8] => 0110100 => [1,2,1,1,2] => 603
[3,7,2,5,4,1,6,8] => 0101100 => [1,1,1,2,2] => 622
[5,1,3,2,4,7,6,8] => 1010010 => [1,1,1,2,1,1] => 1006
[5,1,3,2,7,4,6,8] => 1010100 => [1,1,1,1,1,2] => 1023
[7,1,3,2,5,4,6,8] => 1010100 => [1,1,1,1,1,2] => 1023
[1,7,3,2,5,4,6,8] => 0110100 => [1,2,1,1,2] => 603
[7,1,3,5,2,4,6,8] => 1001000 => [1,2,1,3] => 262
[5,1,3,7,2,4,6,8] => 1001000 => [1,2,1,3] => 262
[3,2,7,5,1,4,6,8] => 1011000 => [1,1,2,3] => 265
[3,7,5,1,2,4,6,8] => 0110000 => [1,2,4] => 85
[5,7,3,1,2,4,6,8] => 0110000 => [1,2,4] => 85
[1,5,3,7,2,4,6,8] => 0101000 => [1,1,1,1,3] => 450
[5,3,2,7,4,1,6,8] => 1101100 => [2,1,2,2] => 363
[5,3,2,4,7,1,6,8] => 1100100 => [2,2,1,2] => 357
[5,3,2,1,4,7,6,8] => 1110010 => [3,2,1,1] => 256
[5,3,2,1,7,4,6,8] => 1110100 => [3,1,1,2] => 259
[1,3,2,7,5,4,6,8] => 0101100 => [1,1,1,2,2] => 622
[1,3,7,2,5,4,6,8] => 0010100 => [2,1,1,1,2] => 603
[7,3,1,2,5,4,6,8] => 1100100 => [2,2,1,2] => 357
[5,3,1,2,7,4,6,8] => 1100100 => [2,2,1,2] => 357
[5,3,1,2,4,7,6,8] => 1100010 => [2,3,1,1] => 256
[3,2,5,1,4,7,6,8] => 1010010 => [1,1,1,2,1,1] => 1006
[7,3,1,5,2,4,6,8] => 1101000 => [2,1,1,3] => 262
[1,3,7,5,2,4,6,8] => 0011000 => [2,2,3] => 153
[7,5,1,3,2,4,6,8] => 1101000 => [2,1,1,3] => 262
[5,7,1,3,2,4,6,8] => 0101000 => [1,1,1,1,3] => 450
[3,7,1,5,2,4,6,8] => 0101000 => [1,1,1,1,3] => 450
[3,7,1,2,5,4,6,8] => 0100100 => [1,1,2,1,2] => 611
[3,7,2,1,5,4,6,8] => 0110100 => [1,2,1,1,2] => 603
[3,2,1,7,5,4,6,8] => 1101100 => [2,1,2,2] => 363
[3,1,2,7,5,4,6,8] => 1001100 => [1,2,2,2] => 363
[3,1,7,2,5,4,6,8] => 1010100 => [1,1,1,1,1,2] => 1023
[3,1,7,5,2,4,6,8] => 1011000 => [1,1,2,3] => 265
[7,1,5,3,2,4,6,8] => 1011000 => [1,1,2,3] => 265
[1,7,5,3,2,4,6,8] => 0111000 => [1,3,3] => 110
[1,2,3,4,5,7,9,6,8] => 00000010 => [6,1,1] => 50
[1,2,3,4,6,9,5,7,8] => 00000100 => [5,1,2] => 138
[1,2,3,5,9,4,6,7,8] => 00001000 => [4,1,3] => 220
[1,2,4,9,3,5,6,7,8] => 00010000 => [3,1,4] => 220
[1,3,9,2,4,5,6,7,8] => 00100000 => [2,1,5] => 138
[1,9,8,7,6,2,5,4,3] => 01111011 => [1,4,1,2] => 526
[2,9,8,7,1,6,5,4,3] => 01110111 => [1,3,1,3] => 676
[1,9,8,2,7,6,5,4,3] => 01101111 => [1,2,1,4] => 534
[1,9,2,8,7,6,5,4,3] => 01011111 => [1,1,1,5] => 244
[3,9,8,7,6,5,2,1,4] => 01111110 => [1,6,1] => 50
[4,9,8,7,6,1,2,5,3] => 01111001 => [1,4,2,1] => 526
[1,8,7,4,2,6,5,3] => 0111011 => [1,3,1,2] => 259
[5,9,8,7,1,2,6,4,3] => 01110011 => [1,3,2,2] => 936
[2,8,5,1,7,6,4,3] => 0110111 => [1,2,1,3] => 262
[6,9,8,2,1,7,5,4,3] => 01110111 => [1,3,1,3] => 676
[6,8,5,1,2,7,4,3] => 0110011 => [1,2,2,2] => 363
[7,9,1,2,8,6,5,4,3] => 01001111 => [1,1,2,4] => 538
[8,1,2,9,7,6,5,4,3] => 10011111 => [1,2,5] => 138
[1,9,8,7,6,3,2,5,4] => 01111101 => [1,5,1,1] => 240
[1,9,8,7,4,2,6,5,3] => 01111011 => [1,4,1,2] => 526
[4,9,8,7,6,3,2,1,5] => 01111110 => [1,6,1] => 50
[2,8,1,4,7,6,5,3] => 0100111 => [1,1,2,3] => 265
[2,9,8,5,1,7,6,4,3] => 01110111 => [1,3,1,3] => 676
[5,9,8,7,4,1,2,6,3] => 01111001 => [1,4,2,1] => 526
[1,9,6,2,8,7,5,4,3] => 01101111 => [1,2,1,4] => 534
[1,8,7,4,3,2,6,5] => 0111101 => [1,4,1,1] => 145
[6,9,8,5,1,2,7,4,3] => 01110011 => [1,3,2,2] => 936
[1,7,2,9,8,6,5,4,3] => 01011111 => [1,1,1,5] => 244
[1,8,5,4,2,7,6,3] => 0111011 => [1,3,1,2] => 259
[7,9,6,2,1,8,5,4,3] => 01110111 => [1,3,1,3] => 676
[8,7,1,2,9,6,5,4,3] => 11001111 => [2,2,4] => 306
[7,5,3,4,2,8,1,6] => 1101010 => [2,1,1,1,1,1] => 969
[8,5,3,6,2,4,7,1] => 1101001 => [2,1,1,2,1] => 603
[8,5,6,3,7,4,2,1] => 1010111 => [1,1,1,1,3] => 450
[8,5,6,2,7,4,3,1] => 1010111 => [1,1,1,1,3] => 450
[8,7,6,3,4,1,5,2] => 1110101 => [3,1,1,1,1] => 427
[1,7,2,3,6,8,5,4] => 0100011 => [1,1,3,2] => 265
[3,5,6,4,8,2,7,1] => 0010101 => [2,1,1,1,1,1] => 969
[3,5,1,4,8,2,7,6] => 0100101 => [1,1,2,1,1,1] => 984
[1,7,5,4,8,2,6,3] => 0110101 => [1,2,1,1,1,1] => 969
[3,7,5,1,6,4,8,2] => 0110101 => [1,2,1,1,1,1] => 969
[2,7,5,4,8,1,3,6] => 0110100 => [1,2,1,1,2] => 603
[2,7,5,4,8,6,1,3] => 0110110 => [1,2,1,2,1] => 603
[1,7,5,4,8,6,3,2] => 0110111 => [1,2,1,3] => 262
[2,5,1,4,8,7,3,6] => 0100110 => [1,1,2,2,1] => 611
[3,6,4,2,8,7,1,5] => 0110110 => [1,2,1,2,1] => 603
[3,5,2,4,8,1,6,7] => 0100100 => [1,1,2,1,2] => 611
[3,5,6,4,8,1,2,7] => 0010100 => [2,1,1,1,2] => 603
[1,5,6,4,8,7,2,3] => 0010110 => [2,1,1,2,1] => 603
[3,6,4,1,8,7,2,5] => 0110110 => [1,2,1,2,1] => 603
[3,6,4,5,8,7,2,1] => 0100111 => [1,1,2,3] => 265
[1,6,4,3,8,5,2,7] => 0110110 => [1,2,1,2,1] => 603
[7,1,3,4,5,8,2,6] => 1000010 => [1,4,1,1] => 145
[7,6,1,4,5,3,8,2] => 1100101 => [2,2,1,1,1] => 582
[7,6,1,3,5,4,8,2] => 1100101 => [2,2,1,1,1] => 582
[7,1,3,2,5,8,4,6] => 1010010 => [1,1,1,2,1,1] => 1006
[1,6,4,2,8,5,3,7] => 0110110 => [1,2,1,2,1] => 603
[7,6,5,8,2,4,3,1] => 1101011 => [2,1,1,1,2] => 603
[7,6,5,8,3,1,4,2] => 1101101 => [2,1,2,1,1] => 594
[2,6,4,3,8,1,7,5] => 0110101 => [1,2,1,1,1,1] => 969
[2,6,4,3,8,5,7,1] => 0110101 => [1,2,1,1,1,1] => 969
[7,2,3,1,5,8,6,4] => 1010011 => [1,1,1,2,2] => 622
[7,1,5,6,3,8,4,2] => 1001011 => [1,2,1,1,2] => 603
[7,3,6,5,1,4,8,2] => 1011001 => [1,1,2,2,1] => 611
[7,2,6,5,3,8,1,4] => 1011010 => [1,1,2,1,1,1] => 984
[7,2,3,1,4,8,6,5] => 1010011 => [1,1,1,2,2] => 622
[7,2,3,5,4,8,6,1] => 1001011 => [1,2,1,1,2] => 603
[2,6,4,5,8,1,7,3] => 0100101 => [1,1,2,1,1,1] => 984
[1,5,6,4,8,3,7,2] => 0010101 => [2,1,1,1,1,1] => 969
[2,5,6,4,8,3,1,7] => 0010110 => [2,1,1,2,1] => 603
[3,5,6,1,4,7,8,2] => 0010001 => [2,1,3,1] => 262
[7,6,1,3,4,5,8,2] => 1100001 => [2,4,1] => 85
[7,1,3,2,4,8,5,6] => 1010010 => [1,1,1,2,1,1] => 1006
[7,6,1,5,3,4,8,2] => 1101001 => [2,1,1,2,1] => 603
[7,6,1,5,4,3,8,2] => 1101101 => [2,1,2,1,1] => 594
[1,6,4,5,8,3,2,7] => 0100110 => [1,1,2,2,1] => 611
[7,6,5,8,1,3,2,4] => 1101010 => [2,1,1,1,1,1] => 969
[3,4,6,8,7,2,1,5] => 0001110 => [3,3,1] => 110
[3,5,6,8,2,1,7,4] => 0001101 => [3,2,1,1] => 256
[4,2,1,5,3,7,8,6] => 1101001 => [2,1,1,2,1] => 603
[4,2,5,6,3,1,8,7] => 1001101 => [1,2,2,1,1] => 594
[3,5,6,8,1,7,2,4] => 0001010 => [3,1,1,1,1] => 427
[4,1,5,6,3,2,8,7] => 1001101 => [1,2,2,1,1] => 594
[4,5,3,1,7,2,8,6] => 0110101 => [1,2,1,1,1,1] => 969
[4,1,3,5,2,7,8,6] => 1001001 => [1,2,1,2,1] => 603
[2,5,4,7,3,8,6,1] => 0101011 => [1,1,1,1,1,2] => 1023
[3,5,7,1,8,4,2,6] => 0010110 => [2,1,1,2,1] => 603
[4,1,5,3,2,7,8,6] => 1011001 => [1,1,2,2,1] => 611
[4,5,3,7,1,2,8,6] => 0101001 => [1,1,1,1,2,1] => 1023
[4,3,6,1,2,7,5,8] => 1010010 => [1,1,1,2,1,1] => 1006
[5,1,3,2,4,6,7,8] => 1010000 => [1,1,1,4] => 148
[3,6,1,7,4,5,2,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,1,3,4,2,6,7,8] => 1001000 => [1,2,1,3] => 262
[5,3,1,4,2,6,7,8] => 1101000 => [2,1,1,3] => 262
[4,5,2,3,7,1,8,6] => 0100101 => [1,1,2,1,1,1] => 984
[4,2,6,1,3,7,5,8] => 1010010 => [1,1,1,2,1,1] => 1006
[4,6,2,1,3,7,5,8] => 0110010 => [1,2,2,1,1] => 594
[3,6,2,1,7,4,8,5] => 0110101 => [1,2,1,1,1,1] => 969
[3,1,4,7,6,5,2,8] => 1001110 => [1,2,3,1] => 262
[3,6,2,7,1,5,8,4] => 0101001 => [1,1,1,1,2,1] => 1023
[4,6,2,7,1,3,5,8] => 0101000 => [1,1,1,1,3] => 450
[3,5,7,1,8,2,6,4] => 0010101 => [2,1,1,1,1,1] => 969
[5,1,4,2,3,6,7,8] => 1010000 => [1,1,1,4] => 148
[3,6,1,7,2,5,8,4] => 0101001 => [1,1,1,1,2,1] => 1023
[2,6,5,3,4,7,8,1] => 0110001 => [1,2,3,1] => 262
[3,6,1,7,5,4,2,8] => 0101110 => [1,1,1,3,1] => 450
[5,1,4,3,2,6,7,8] => 1011000 => [1,1,2,3] => 265
[5,4,1,3,2,6,7,8] => 1101000 => [2,1,1,3] => 262
[6,4,2,5,3,8,1,7] => 1101010 => [2,1,1,1,1,1] => 969
[4,6,2,3,5,1,8,7] => 0100101 => [1,1,2,1,1,1] => 984
[6,2,4,5,1,8,3,7] => 1001010 => [1,2,1,1,1,1] => 969
[8,2,6,7,1,4,5,3] => 1001001 => [1,2,1,2,1] => 603
[8,2,6,7,4,1,5,3] => 1001101 => [1,2,2,1,1] => 594
[4,6,2,3,5,8,1,7] => 0100010 => [1,1,3,1,1] => 439
[2,6,4,1,5,8,3,7] => 0110010 => [1,2,2,1,1] => 594
[2,8,1,6,7,4,5,3] => 0100101 => [1,1,2,1,1,1] => 984
[6,8,4,5,7,2,3,1] => 0100101 => [1,1,2,1,1,1] => 984
[2,8,6,1,4,7,5,3] => 0110011 => [1,2,2,2] => 363
[2,8,1,6,4,7,5,3] => 0101011 => [1,1,1,1,1,2] => 1023
[2,6,1,4,8,5,3,7] => 0100110 => [1,1,2,2,1] => 611
[6,4,5,2,8,3,1,7] => 1010110 => [1,1,1,1,2,1] => 1023
[4,2,3,6,1,8,5,7] => 1001010 => [1,2,1,1,1,1] => 969
[4,2,3,1,6,8,5,7] => 1010010 => [1,1,1,2,1,1] => 1006
[4,2,3,8,6,1,7,5] => 1001101 => [1,2,2,1,1] => 594
[6,4,5,8,2,3,7,1] => 1001001 => [1,2,1,2,1] => 603
[8,6,7,2,4,5,1,3] => 1010010 => [1,1,1,2,1,1] => 1006
[6,4,8,5,2,3,7,1] => 1011001 => [1,1,2,2,1] => 611
[4,2,8,3,1,6,7,5] => 1011001 => [1,1,2,2,1] => 611
[2,4,8,1,3,6,7,5] => 0010001 => [2,1,3,1] => 262
[2,4,1,8,3,6,7,5] => 0101001 => [1,1,1,1,2,1] => 1023
[2,1,4,8,6,3,7,5] => 1001101 => [1,2,2,1,1] => 594
[6,4,8,2,5,3,7,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,6,2,4,7,5,1,3] => 1100110 => [2,2,2,1] => 357
[4,6,8,2,3,5,7,1] => 0010001 => [2,1,3,1] => 262
[2,6,8,4,1,5,7,3] => 0011001 => [2,2,2,1] => 357
[2,6,8,1,4,5,7,3] => 0010001 => [2,1,3,1] => 262
[2,1,6,8,4,5,7,3] => 1001001 => [1,2,1,2,1] => 603
[2,8,1,4,6,7,3,5] => 0100010 => [1,1,3,1,1] => 439
[4,8,6,2,3,7,5,1] => 0110011 => [1,2,2,2] => 363
[8,4,2,6,7,3,1,5] => 1100110 => [2,2,2,1] => 357
[7,6,4,5,1,3,8,2] => 1101001 => [2,1,1,2,1] => 603
[1,6,7,5,3,4,8,2] => 0011001 => [2,2,2,1] => 357
[7,6,2,3,8,4,1,5] => 1100110 => [2,2,2,1] => 357
[1,6,7,5,8,2,3,4] => 0010100 => [2,1,1,1,2] => 603
[6,2,5,8,3,4,7,1] => 1001001 => [1,2,1,2,1] => 603
[6,2,3,8,7,4,1,5] => 1001110 => [1,2,3,1] => 262
[2,4,7,3,5,8,6,1] => 0010011 => [2,1,2,2] => 363
[2,5,3,7,1,8,4,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,2,8,3,1,4,6,7] => 1011000 => [1,1,2,3] => 265
[4,8,2,3,6,5,7,1] => 0100101 => [1,1,2,1,1,1] => 984
[5,8,1,3,6,4,7,2] => 0100101 => [1,1,2,1,1,1] => 984
[5,8,1,4,3,6,2,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,8,4,1,3,7,6,2] => 0110011 => [1,2,2,2] => 363
[6,4,5,3,8,1,7,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,6,5,3,7,1,2,8] => 0110100 => [1,2,1,1,2] => 603
[4,5,1,3,6,2,8,7] => 0100101 => [1,1,2,1,1,1] => 984
[4,2,6,5,1,7,3,8] => 1011010 => [1,1,2,1,1,1] => 984
[4,3,5,7,2,1,6,8] => 1001100 => [1,2,2,2] => 363
[3,4,7,6,8,1,2,5] => 0010100 => [2,1,1,1,2] => 603
[3,4,6,2,5,8,7,1] => 0010011 => [2,1,2,2] => 363
[3,5,2,4,6,1,8,7] => 0100101 => [1,1,2,1,1,1] => 984
[4,2,5,1,6,8,3,7] => 1010010 => [1,1,1,2,1,1] => 1006
[1,8,2,3,6,5,7,4] => 0100101 => [1,1,2,1,1,1] => 984
[4,2,8,3,5,7,1,6] => 1010010 => [1,1,1,2,1,1] => 1006
[4,3,8,6,5,7,1,2] => 1011010 => [1,1,2,1,1,1] => 984
[1,3,7,2,6,5,8,4] => 0010101 => [2,1,1,1,1,1] => 969
[1,3,6,4,2,5,8,7] => 0011001 => [2,2,2,1] => 357
[1,5,4,7,3,6,8,2] => 0101001 => [1,1,1,1,2,1] => 1023
[5,2,3,8,4,1,7,6] => 1001101 => [1,2,2,1,1] => 594
[7,5,3,4,8,2,1,6] => 1100110 => [2,2,2,1] => 357
[7,2,8,3,4,1,5,6] => 1010100 => [1,1,1,1,1,2] => 1023
[7,4,3,8,5,2,6,1] => 1101101 => [2,1,2,1,1] => 594
[4,6,2,7,3,1,5,8] => 0101100 => [1,1,1,2,2] => 622
[7,6,3,8,2,4,5,1] => 1101001 => [2,1,1,2,1] => 603
[7,2,8,5,1,3,4,6] => 1011000 => [1,1,2,3] => 265
[1,5,3,7,6,8,4,2] => 0101011 => [1,1,1,1,1,2] => 1023
[1,6,3,7,8,2,4,5] => 0100100 => [1,1,2,1,2] => 611
[1,4,3,7,8,5,2,6] => 0100110 => [1,1,2,2,1] => 611
[4,2,6,5,7,8,3,1] => 1010011 => [1,1,1,2,2] => 622
[4,2,6,7,5,8,1,3] => 1001010 => [1,2,1,1,1,1] => 969
[3,2,4,7,8,5,1,6] => 1000110 => [1,3,2,1] => 259
[3,2,6,7,8,1,4,5] => 1000100 => [1,3,1,2] => 259
[5,1,8,3,6,4,7,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[3,6,8,5,7,2,1,4] => 0010110 => [2,1,1,2,1] => 603
[5,1,3,8,7,6,4,2] => 1001111 => [1,2,4] => 85
[3,8,5,6,1,7,2,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,4,8,1,7,6,2,5] => 0010110 => [2,1,1,2,1] => 603
[4,7,6,8,5,1,3,2] => 0101101 => [1,1,1,2,1,1] => 1006
[6,7,4,8,5,1,3,2] => 0101101 => [1,1,1,2,1,1] => 1006
[6,4,8,3,1,7,5,2] => 1011011 => [1,1,2,1,2] => 611
[3,6,5,8,7,1,4,2] => 0101101 => [1,1,1,2,1,1] => 1006
[5,7,4,8,2,6,3,1] => 0101011 => [1,1,1,1,1,2] => 1023
[5,6,4,8,2,7,3,1] => 0101011 => [1,1,1,1,1,2] => 1023
[6,5,3,8,2,7,4,1] => 1101011 => [2,1,1,1,2] => 603
[6,4,8,1,3,7,5,2] => 1010011 => [1,1,1,2,2] => 622
[7,6,3,1,4,2,5,8] => 1110100 => [3,1,1,2] => 259
[1,5,4,3,7,8,2,6] => 0110010 => [1,2,2,1,1] => 594
[7,8,4,2,5,3,1,6] => 0110110 => [1,2,1,2,1] => 603
[4,2,7,8,5,3,1,6] => 1001110 => [1,2,3,1] => 262
[4,2,5,3,1,7,8,6] => 1011001 => [1,1,2,2,1] => 611
[4,2,8,7,6,3,1,5] => 1011110 => [1,1,4,1] => 148
[4,2,7,6,3,1,5,8] => 1011100 => [1,1,3,2] => 265
[6,3,1,7,5,2,4,8] => 1101100 => [2,1,2,2] => 363
[6,3,1,8,7,5,2,4] => 1101110 => [2,1,3,1] => 262
[8,6,3,1,7,5,2,4] => 1110110 => [3,1,2,1] => 259
[4,2,7,6,3,1,8,5] => 1011101 => [1,1,3,1,1] => 439
[7,6,3,1,8,4,2,5] => 1110110 => [3,1,2,1] => 259
[7,6,4,2,1,8,3,5] => 1111010 => [4,1,1,1] => 145
[1,8,2,7,6,4,3,5] => 0101110 => [1,1,1,3,1] => 450
[8,3,5,7,6,4,2,1] => 1001111 => [1,2,4] => 85
[8,4,2,5,7,6,3,1] => 1100111 => [2,2,3] => 153
[7,5,2,4,8,6,3,1] => 1100111 => [2,2,3] => 153
[8,7,5,2,4,6,3,1] => 1110011 => [3,2,2] => 153
[7,5,2,4,6,3,1,8] => 1100110 => [2,2,2,1] => 357
[5,2,8,6,3,7,4,1] => 1011011 => [1,1,2,1,2] => 611
[8,4,7,5,2,6,3,1] => 1011011 => [1,1,2,1,2] => 611
[8,3,6,4,7,5,2,1] => 1010111 => [1,1,1,1,3] => 450
[1,8,2,7,5,3,6,4] => 0101101 => [1,1,1,2,1,1] => 1006
[7,5,2,1,8,3,6,4] => 1110101 => [3,1,1,1,1] => 427
[7,5,2,6,3,1,8,4] => 1101101 => [2,1,2,1,1] => 594
[5,2,7,4,1,8,6,3] => 1011011 => [1,1,2,1,2] => 611
[5,2,8,7,4,1,6,3] => 1011101 => [1,1,3,1,1] => 439
[8,7,4,1,5,2,6,3] => 1110101 => [3,1,1,1,1] => 427
[7,4,1,5,2,8,6,3] => 1101011 => [2,1,1,1,2] => 603
[7,6,3,1,4,2,8,5] => 1110101 => [3,1,1,1,1] => 427
[7,5,2,8,6,3,1,4] => 1101110 => [2,1,3,1] => 262
[8,7,5,2,6,3,1,4] => 1110110 => [3,1,2,1] => 259
[7,5,2,1,3,6,4,8] => 1110010 => [3,2,1,1] => 256
[8,7,5,2,1,3,6,4] => 1111001 => [4,2,1] => 85
[7,5,2,1,3,8,6,4] => 1110011 => [3,2,2] => 153
[1,3,7,6,5,8,2,4] => 0011010 => [2,2,1,1,1] => 582
[8,6,4,7,5,2,1,3] => 1101110 => [2,1,3,1] => 262
[6,4,8,7,5,2,1,3] => 1011110 => [1,1,4,1] => 148
[6,4,7,5,2,1,3,8] => 1011100 => [1,1,3,2] => 265
[6,3,1,4,7,5,2,8] => 1100110 => [2,2,2,1] => 357
[6,3,1,4,8,7,5,2] => 1100111 => [2,2,3] => 153
[8,6,3,1,4,7,5,2] => 1110011 => [3,2,2] => 153
[8,5,7,6,3,1,4,2] => 1011101 => [1,1,3,1,1] => 439
[1,8,2,5,7,6,4,3] => 0100111 => [1,1,2,3] => 265
[1,8,2,6,4,7,5,3] => 0101011 => [1,1,1,1,1,2] => 1023
[7,5,2,1,6,4,8,3] => 1110101 => [3,1,1,1,1] => 427
[6,3,8,7,4,1,5,2] => 1011101 => [1,1,3,1,1] => 439
[6,3,7,4,1,5,2,8] => 1011010 => [1,1,2,1,1,1] => 984
[7,4,1,6,3,5,2,8] => 1101010 => [2,1,1,1,1,1] => 969
[7,4,1,8,6,3,5,2] => 1101101 => [2,1,2,1,1] => 594
[8,4,6,3,1,7,5,2] => 1011011 => [1,1,2,1,2] => 611
[6,4,7,5,2,1,8,3] => 1011101 => [1,1,3,1,1] => 439
[1,6,4,7,5,3,8,2] => 0101101 => [1,1,1,2,1,1] => 1006
[8,6,3,5,2,7,4,1] => 1101011 => [2,1,1,1,2] => 603
[6,3,5,2,8,7,4,1] => 1010111 => [1,1,1,1,3] => 450
[6,3,5,2,7,4,1,8] => 1010110 => [1,1,1,1,2,1] => 1023
[1,4,7,3,5,2,6,8] => 0010100 => [2,1,1,1,2] => 603
[5,7,4,2,6,3,1,8] => 0110110 => [1,2,1,2,1] => 603
[4,2,6,3,5,7,1,8] => 1010010 => [1,1,1,2,1,1] => 1006
[2,4,5,8,1,6,7,3] => 0001001 => [3,1,2,1] => 259
[6,1,3,7,4,2,5,8] => 1001100 => [1,2,2,2] => 363
[3,2,6,8,1,5,7,4] => 1001001 => [1,2,1,2,1] => 603
[8,2,6,1,5,4,7,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,6,2,7,1,5,4,3] => 1101011 => [2,1,1,1,2] => 603
[7,6,8,3,1,5,4,2] => 1011011 => [1,1,2,1,2] => 611
[6,3,7,2,8,1,5,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,5,2,8,6,1,4,3] => 1101101 => [2,1,2,1,1] => 594
[2,7,3,8,1,5,6,4] => 0101001 => [1,1,1,1,2,1] => 1023
[1,6,8,5,2,4,3,7] => 0011010 => [2,2,1,1,1] => 582
[4,5,7,2,8,1,6,3] => 0010101 => [2,1,1,1,1,1] => 969
[8,4,6,5,3,1,7,2] => 1011101 => [1,1,3,1,1] => 439
[4,5,3,1,7,2,6,8] => 0110100 => [1,2,1,1,2] => 603
[7,8,1,2,4,3,6,5] => 0100101 => [1,1,2,1,1,1] => 984
[8,4,1,6,2,3,7,5] => 1101001 => [2,1,1,2,1] => 603
[4,1,3,6,5,7,8,2] => 1001001 => [1,2,1,2,1] => 603
[6,1,3,4,2,8,5,7] => 1001010 => [1,2,1,1,1,1] => 969
[8,1,4,2,5,7,6,3] => 1010011 => [1,1,1,2,2] => 622
[8,1,4,3,5,7,6,2] => 1010011 => [1,1,1,2,2] => 622
[5,2,4,1,3,7,8,6] => 1010001 => [1,1,1,3,1] => 450
[2,6,5,3,1,7,8,4] => 0111001 => [1,3,2,1] => 259
[8,3,2,1,5,7,6,4] => 1110011 => [3,2,2] => 153
[1,7,4,3,6,8,2,5] => 0110010 => [1,2,2,1,1] => 594
[2,7,6,3,1,8,4,5] => 0111010 => [1,3,1,1,1] => 427
[2,8,4,6,3,7,5,1] => 0101011 => [1,1,1,1,1,2] => 1023
[8,7,1,3,6,5,4,2] => 1100111 => [2,2,3] => 153
[1,8,5,7,4,2,6,3] => 0101101 => [1,1,1,2,1,1] => 1006
[3,8,6,5,7,1,4,2] => 0110101 => [1,2,1,1,1,1] => 969
[4,8,6,2,7,1,5,3] => 0110101 => [1,2,1,1,1,1] => 969
[4,7,5,3,8,2,1,6] => 0110110 => [1,2,1,2,1] => 603
[1,6,5,8,3,4,2,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[6,1,5,3,8,4,2,7] => 1010110 => [1,1,1,1,2,1] => 1023
[8,1,5,4,7,2,6,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[2,1,4,7,5,8,3,6] => 1001010 => [1,2,1,1,1,1] => 969
[6,3,5,8,7,4,1,2] => 1001110 => [1,2,3,1] => 262
[4,7,2,8,5,6,3,1] => 0101011 => [1,1,1,1,1,2] => 1023
[1,4,8,7,3,5,6,2] => 0011001 => [2,2,2,1] => 357
[8,1,7,6,3,5,4,2] => 1011011 => [1,1,2,1,2] => 611
[3,6,8,5,7,4,1,2] => 0010110 => [2,1,1,2,1] => 603
[4,7,6,8,5,3,1,2] => 0101110 => [1,1,1,3,1] => 450
[5,7,2,8,6,4,1,3] => 0101110 => [1,1,1,3,1] => 450
[3,8,7,5,6,4,2,1] => 0110111 => [1,2,1,3] => 262
[2,8,7,6,4,5,3,1] => 0111011 => [1,3,1,2] => 259
[1,8,7,6,5,3,4,2] => 0111101 => [1,4,1,1] => 145
[4,6,7,2,5,3,1,8] => 0010110 => [2,1,1,2,1] => 603
[2,4,7,8,1,6,5,3] => 0001011 => [3,1,1,2] => 259
[4,2,6,8,7,1,5,3] => 1001101 => [1,2,2,1,1] => 594
[5,1,8,4,2,7,6,3] => 1011011 => [1,1,2,1,2] => 611
[6,8,3,7,1,5,4,2] => 0101011 => [1,1,1,1,1,2] => 1023
[2,7,3,8,1,6,5,4] => 0101011 => [1,1,1,1,1,2] => 1023
[2,6,8,4,1,7,5,3] => 0011011 => [2,2,1,2] => 357
[4,6,7,1,2,8,5,3] => 0010011 => [2,1,2,2] => 363
[3,6,1,8,2,7,5,4] => 0101011 => [1,1,1,1,1,2] => 1023
[5,7,4,1,2,8,6,3] => 0110011 => [1,2,2,2] => 363
[6,3,7,1,2,8,5,4] => 1010011 => [1,1,1,2,2] => 622
[8,1,5,6,3,2,4,7] => 1001100 => [1,2,2,2] => 363
[1,7,8,3,5,2,4,6] => 0010100 => [2,1,1,1,2] => 603
[8,5,3,7,2,4,6,1] => 1101001 => [2,1,1,2,1] => 603
[1,7,2,4,8,5,3,6] => 0100110 => [1,1,2,2,1] => 611
[1,7,8,5,4,3,2,6] => 0011110 => [2,4,1] => 85
[2,6,8,7,4,3,5,1] => 0011101 => [2,3,1,1] => 256
[1,2,6,7,8,4,3,5] => 0000110 => [4,2,1] => 85
[2,7,5,8,4,1,3,6] => 0101100 => [1,1,1,2,2] => 622
[2,1,7,8,4,5,3,6] => 1001010 => [1,2,1,1,1,1] => 969
[3,7,8,2,1,5,4,6] => 0011010 => [2,2,1,1,1] => 582
[8,5,1,4,7,3,6,2] => 1100101 => [2,2,1,1,1] => 582
[8,4,7,5,3,6,1,2] => 1011010 => [1,1,2,1,1,1] => 984
[8,1,4,6,7,3,5,2] => 1000101 => [1,3,1,1,1] => 427
[3,5,8,6,7,4,1,2] => 0010110 => [2,1,1,2,1] => 603
[3,6,8,4,7,1,5,2] => 0010101 => [2,1,1,1,1,1] => 969
[4,7,1,3,6,8,2,5] => 0100010 => [1,1,3,1,1] => 439
[3,7,6,4,8,1,2,5] => 0110100 => [1,2,1,1,2] => 603
[3,1,7,5,6,8,2,4] => 1010010 => [1,1,1,2,1,1] => 1006
[2,3,6,5,7,1,8,4] => 0010101 => [2,1,1,1,1,1] => 969
[3,7,5,4,2,1,8,6] => 0111101 => [1,4,1,1] => 145
[1,3,6,7,4,2,8,5] => 0001101 => [3,2,1,1] => 256
[3,6,4,8,2,7,5,1] => 0101011 => [1,1,1,1,1,2] => 1023
[1,4,6,3,2,7,8,5] => 0011001 => [2,2,2,1] => 357
[8,7,1,5,6,3,2,4] => 1100110 => [2,2,2,1] => 357
[8,1,6,7,5,3,2,4] => 1001110 => [1,2,3,1] => 262
[1,7,8,6,5,3,2,4] => 0011110 => [2,4,1] => 85
[8,7,2,4,6,5,3,1] => 1100111 => [2,2,3] => 153
[1,7,8,2,6,4,5,3] => 0010101 => [2,1,1,1,1,1] => 969
[8,7,2,5,4,6,1,3] => 1101010 => [2,1,1,1,1,1] => 969
[8,7,2,5,3,1,6,4] => 1101101 => [2,1,2,1,1] => 594
[8,7,3,2,1,5,6,4] => 1111001 => [4,2,1] => 85
[8,2,6,7,3,1,5,4] => 1001101 => [1,2,2,1,1] => 594
[1,7,2,8,5,6,4,3] => 0101011 => [1,1,1,1,1,2] => 1023
[2,7,1,8,4,6,5,3] => 0101011 => [1,1,1,1,1,2] => 1023
[3,7,8,2,1,6,5,4] => 0011011 => [2,2,1,2] => 357
[8,7,6,1,4,5,3,2] => 1110011 => [3,2,2] => 153
[4,8,1,2,3,7,5,6] => 0100010 => [1,1,3,1,1] => 439
[1,8,2,3,6,5,4,7] => 0100110 => [1,1,2,2,1] => 611
[3,5,8,4,7,2,6,1] => 0010101 => [2,1,1,1,1,1] => 969
[1,8,5,4,6,2,3,7] => 0110100 => [1,2,1,1,2] => 603
[3,8,5,4,6,1,2,7] => 0110100 => [1,2,1,1,2] => 603
[3,8,5,1,6,4,2,7] => 0110110 => [1,2,1,2,1] => 603
[2,8,5,4,6,1,3,7] => 0110100 => [1,2,1,1,2] => 603
[2,8,5,4,6,3,1,7] => 0110110 => [1,2,1,2,1] => 603
[1,8,5,4,6,3,2,7] => 0110110 => [1,2,1,2,1] => 603
[2,5,8,4,7,3,6,1] => 0010101 => [2,1,1,1,1,1] => 969
[3,6,4,2,7,8,5,1] => 0110011 => [1,2,2,2] => 363
[3,5,4,1,6,2,7,8] => 0110100 => [1,2,1,1,2] => 603
[4,5,8,1,7,6,2,3] => 0010110 => [2,1,1,2,1] => 603
[3,5,8,4,7,1,6,2] => 0010101 => [2,1,1,1,1,1] => 969
[1,5,8,4,7,3,6,2] => 0010101 => [2,1,1,1,1,1] => 969
[3,6,4,1,7,8,5,2] => 0110011 => [1,2,2,2] => 363
[3,6,4,8,7,5,2,1] => 0101111 => [1,1,1,4] => 148
[1,6,4,3,7,8,5,2] => 0110011 => [1,2,2,2] => 363
[7,1,3,4,8,6,5,2] => 1000111 => [1,3,3] => 110
[7,6,1,3,8,4,2,5] => 1100110 => [2,2,2,1] => 357
[1,6,4,2,7,8,3,5] => 0110010 => [1,2,2,1,1] => 594
[2,6,4,3,7,1,8,5] => 0110101 => [1,2,1,1,1,1] => 969
[2,6,4,1,7,8,3,5] => 0110010 => [1,2,2,1,1] => 594
[7,2,3,4,8,6,5,1] => 1000111 => [1,3,3] => 110
[7,2,3,1,8,6,4,5] => 1010110 => [1,1,1,1,2,1] => 1023
[7,2,3,4,1,6,8,5] => 1001001 => [1,2,1,2,1] => 603
[1,2,4,3,8,5,7,6] => 0010101 => [2,1,1,1,1,1] => 969
[7,3,8,6,1,4,2,5] => 1011010 => [1,1,2,1,1,1] => 984
[7,2,8,6,3,4,1,5] => 1011010 => [1,1,2,1,1,1] => 984
[7,2,3,1,5,6,8,4] => 1010001 => [1,1,1,3,1] => 450
[7,2,3,8,1,6,5,4] => 1001011 => [1,2,1,1,2] => 603
[7,2,3,8,5,6,4,1] => 1001011 => [1,2,1,1,2] => 603
[2,6,4,8,7,1,5,3] => 0101101 => [1,1,1,2,1,1] => 1006
[1,5,8,4,7,6,2,3] => 0010110 => [2,1,1,2,1] => 603
[3,5,8,1,6,7,2,4] => 0010010 => [2,1,2,1,1] => 594
[7,6,1,3,5,8,2,4] => 1100010 => [2,3,1,1] => 256
[7,1,3,2,5,6,8,4] => 1010001 => [1,1,1,3,1] => 450
[7,1,3,8,2,6,5,4] => 1001011 => [1,2,1,1,2] => 603
[7,6,1,8,5,4,2,3] => 1101110 => [2,1,3,1] => 262
[3,2,6,5,8,4,7,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,3,7,1,6,5,8,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,2,6,4,8,3,7,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,3,7,5,8,2,6,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,3,7,4,8,2,6,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,3,7,4,8,1,6,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,4,8,1,6,2,7,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,3,7,1,5,2,8,6] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,4,8,2,6,3,7,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,4,8,1,6,3,7,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,1,7,5,2,3,6,8] => 1011000 => [1,1,2,3] => 265
[4,1,7,8,6,3,2,5] => 1001110 => [1,2,3,1] => 262
[4,7,2,8,3,5,1,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[6,8,3,2,1,4,7,5] => 0111001 => [1,3,2,1] => 259
[7,2,4,1,6,5,8,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,5,8,4,3,1,6,2] => 1011101 => [1,1,3,1,1] => 439
[6,8,2,4,1,3,7,5] => 0101001 => [1,1,1,1,2,1] => 1023
[2,8,4,7,6,3,5,1] => 0101101 => [1,1,1,2,1,1] => 1006
[6,1,2,7,5,8,4,3] => 1001011 => [1,2,1,1,2] => 603
[4,2,7,3,8,5,6,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,5,2,6,8,3,7,1] => 0100101 => [1,1,2,1,1,1] => 984
[4,8,3,2,5,7,6,1] => 0110011 => [1,2,2,2] => 363
[7,2,4,3,8,5,6,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,8,5,3,4,7,2,1] => 0110011 => [1,2,2,2] => 363
[8,4,7,6,2,3,5,1] => 1011001 => [1,1,2,2,1] => 611
[6,8,4,1,5,3,7,2] => 0110101 => [1,2,1,1,1,1] => 969
[8,3,4,7,6,2,5,1] => 1001101 => [1,2,2,1,1] => 594
[1,8,3,5,2,6,7,4] => 0101001 => [1,1,1,1,2,1] => 1023
[6,8,3,5,1,4,7,2] => 0101001 => [1,1,1,1,2,1] => 1023
[6,8,5,4,2,3,7,1] => 0111001 => [1,3,2,1] => 259
[5,8,2,4,3,7,6,1] => 0101011 => [1,1,1,1,1,2] => 1023
[8,2,1,3,5,6,4,7] => 1100010 => [2,3,1,1] => 256
[8,2,1,3,5,4,7,6] => 1100101 => [2,2,1,1,1] => 582
[8,2,1,3,4,6,7,5] => 1100001 => [2,4,1] => 85
[8,1,3,4,2,6,5,7] => 1001010 => [1,2,1,1,1,1] => 969
[8,1,3,4,2,5,7,6] => 1001001 => [1,2,1,2,1] => 603
[8,1,3,2,5,6,4,7] => 1010010 => [1,1,1,2,1,1] => 1006
[8,1,2,4,5,3,7,6] => 1000101 => [1,3,1,1,1] => 427
[8,1,2,4,3,6,7,5] => 1001001 => [1,2,1,2,1] => 603
[6,5,3,8,4,2,7,1] => 1101101 => [2,1,2,1,1] => 594
[7,4,5,1,6,2,8,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,7,3,5,6,2,8,1] => 0100101 => [1,1,2,1,1,1] => 984
[6,7,8,4,1,3,5,2] => 0011001 => [2,2,2,1] => 357
[3,1,6,8,4,7,5,2] => 1001011 => [1,2,1,1,2] => 603
[8,3,6,1,5,7,4,2] => 1010011 => [1,1,1,2,2] => 622
[3,2,7,5,8,6,1,4] => 1010110 => [1,1,1,1,2,1] => 1023
[2,5,4,7,8,1,6,3] => 0100101 => [1,1,2,1,1,1] => 984
[2,4,6,7,8,1,5,3] => 0000101 => [4,1,1,1] => 145
[2,4,6,8,1,7,5,3] => 0001011 => [3,1,1,2] => 259
[7,4,3,8,6,2,1,5] => 1101110 => [2,1,3,1] => 262
[2,4,7,8,3,5,6,1] => 0001001 => [3,1,2,1] => 259
[3,2,7,6,1,8,4,5] => 1011010 => [1,1,2,1,1,1] => 984
[3,2,6,8,1,7,4,5] => 1001010 => [1,2,1,1,1,1] => 969
[4,3,6,2,1,8,5,7] => 1011010 => [1,1,2,1,1,1] => 984
[3,6,4,2,5,8,1,7] => 0110010 => [1,2,2,1,1] => 594
[4,6,2,3,7,5,8,1] => 0100101 => [1,1,2,1,1,1] => 984
[5,8,4,2,3,6,7,1] => 0110001 => [1,2,3,1] => 262
[8,4,5,3,2,1,7,6] => 1011101 => [1,1,3,1,1] => 439
[5,8,3,4,2,1,7,6] => 0101101 => [1,1,1,2,1,1] => 1006
[6,8,4,2,3,7,5,1] => 0110011 => [1,2,2,2] => 363
[6,4,8,3,2,7,1,5] => 1011010 => [1,1,2,1,1,1] => 984
[5,8,3,7,2,1,6,4] => 0101101 => [1,1,1,2,1,1] => 1006
[2,5,6,4,7,1,8,3] => 0010101 => [2,1,1,1,1,1] => 969
[2,5,4,8,1,6,7,3] => 0101001 => [1,1,1,1,2,1] => 1023
[6,4,7,3,8,2,1,5] => 1010110 => [1,1,1,1,2,1] => 1023
[6,7,4,3,2,1,8,5] => 0111101 => [1,4,1,1] => 145
[8,4,3,7,2,1,5,6] => 1101100 => [2,1,2,2] => 363
[1,2,6,5,8,7,3,4] => 0010110 => [2,1,1,2,1] => 603
[1,5,2,8,4,6,7,3] => 0101001 => [1,1,1,1,2,1] => 1023
[1,5,2,7,4,6,8,3] => 0101001 => [1,1,1,1,2,1] => 1023
[5,1,2,7,3,6,8,4] => 1001001 => [1,2,1,2,1] => 603
[5,1,2,8,3,6,7,4] => 1001001 => [1,2,1,2,1] => 603
[5,6,3,4,8,7,2,1] => 0100111 => [1,1,2,3] => 265
[6,5,3,4,8,7,2,1] => 1100111 => [2,2,3] => 153
[4,1,2,8,3,6,7,5] => 1001001 => [1,2,1,2,1] => 603
[4,1,2,7,3,6,8,5] => 1001001 => [1,2,1,2,1] => 603
[7,5,3,8,4,6,2,1] => 1101011 => [2,1,1,1,2] => 603
[8,5,3,7,4,6,2,1] => 1101011 => [2,1,1,1,2] => 603
[5,8,1,2,3,4,7,6] => 0100001 => [1,1,4,1] => 148
[7,1,2,8,3,6,4,5] => 1001010 => [1,2,1,1,1,1] => 969
[6,1,8,2,3,5,7,4] => 1010001 => [1,1,1,3,1] => 450
[6,1,7,2,3,5,8,4] => 1010001 => [1,1,1,3,1] => 450
[1,6,8,2,4,5,7,3] => 0010001 => [2,1,3,1] => 262
[4,3,8,7,5,6,2,1] => 1011011 => [1,1,2,1,2] => 611
[1,8,2,7,4,6,5,3] => 0101011 => [1,1,1,1,1,2] => 1023
[7,1,6,2,3,5,8,4] => 1010001 => [1,1,1,3,1] => 450
[8,1,6,2,3,5,7,4] => 1010001 => [1,1,1,3,1] => 450
[8,1,7,2,3,5,6,4] => 1010001 => [1,1,1,3,1] => 450
[5,8,3,7,4,6,2,1] => 0101011 => [1,1,1,1,1,2] => 1023
[6,8,7,3,4,5,2,1] => 0110011 => [1,2,2,2] => 363
[1,8,7,2,4,5,3,6] => 0110010 => [1,2,2,1,1] => 594
[8,7,1,2,3,4,6,5] => 1100001 => [2,4,1] => 85
[8,6,1,2,3,4,7,5] => 1100001 => [2,4,1] => 85
[8,1,6,2,3,5,4,7] => 1010010 => [1,1,1,2,1,1] => 1006
[1,7,6,2,4,5,3,8] => 0110010 => [1,2,2,1,1] => 594
[1,8,7,4,6,3,5,2] => 0110101 => [1,2,1,1,1,1] => 969
[6,3,7,5,1,4,8,2] => 1011001 => [1,1,2,2,1] => 611
[1,8,3,5,7,2,6,4] => 0100101 => [1,1,2,1,1,1] => 984
[2,3,4,6,8,5,7,1] => 0000101 => [4,1,1,1] => 145
[2,3,5,7,4,8,6,1] => 0001011 => [3,1,1,2] => 259
[2,4,6,3,7,8,5,1] => 0010011 => [2,1,2,2] => 363
[2,5,7,1,8,6,3,4] => 0010110 => [2,1,1,2,1] => 603
[1,3,8,5,2,4,6,7] => 0011000 => [2,2,3] => 153
[2,6,7,1,8,4,5,3] => 0010101 => [2,1,1,1,1,1] => 969
[5,8,3,1,4,2,6,7] => 0110100 => [1,2,1,1,2] => 603
[3,8,4,2,6,7,1,5] => 0110010 => [1,2,2,1,1] => 594
[2,4,1,8,5,6,3,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,6,2,7,8,5,3,4] => 0100110 => [1,1,2,2,1] => 611
[3,5,2,6,7,8,4,1] => 0100011 => [1,1,3,2] => 265
[4,5,1,6,7,3,8,2] => 0100101 => [1,1,2,1,1,1] => 984
[2,8,4,1,7,5,3,6] => 0110110 => [1,2,1,2,1] => 603
[8,5,3,1,7,4,2,6] => 1110110 => [3,1,2,1] => 259
[4,2,8,7,1,5,3,6] => 1011010 => [1,1,2,1,1,1] => 984
[5,2,6,8,1,7,4,3] => 1001011 => [1,2,1,1,2] => 603
[5,7,3,2,6,8,1,4] => 0110010 => [1,2,2,1,1] => 594
[8,4,7,3,1,6,2,5] => 1011010 => [1,1,2,1,1,1] => 984
[6,7,1,2,3,5,8,4] => 0100001 => [1,1,4,1] => 148
[3,1,6,7,8,4,2,5] => 1000110 => [1,3,2,1] => 259
[3,1,4,8,5,6,2,7] => 1001010 => [1,2,1,1,1,1] => 969
[8,3,1,4,5,7,2,6] => 1100010 => [2,3,1,1] => 256
[1,6,7,8,9,2,3,4,5] => 00001000 => [4,1,3] => 220
[6,7,8,1,2,3,4,5,9] => 00100000 => [2,1,5] => 138
[1,7,8,9,2,3,4,5,6] => 00010000 => [3,1,4] => 220
[5,6,7,1,8,2,3,4,9] => 00101000 => [2,1,1,1,3] => 1612
[4,6,7,8,1,2,3,5,9] => 00010000 => [3,1,4] => 220
[1,6,7,8,2,9,3,4,5] => 00010100 => [3,1,1,1,2] => 1576
[1,5,7,8,9,2,3,4,6] => 00001000 => [4,1,3] => 220
[8,6,2,3,5,1,4,7] => 1100100 => [2,2,1,2] => 357
[8,2,4,5,7,3,1,6] => 1000110 => [1,3,2,1] => 259
[2,6,3,8,7,5,4,1] => 0101111 => [1,1,1,4] => 148
[8,2,3,7,5,4,1,6] => 1001110 => [1,2,3,1] => 262
[8,2,6,3,5,4,1,7] => 1010110 => [1,1,1,1,2,1] => 1023
[8,6,1,5,2,4,3,7] => 1101010 => [2,1,1,1,1,1] => 969
[8,6,2,4,1,5,3,7] => 1101010 => [2,1,1,1,1,1] => 969
[8,4,1,6,5,3,2,7] => 1101110 => [2,1,3,1] => 262
[8,3,6,1,5,4,2,7] => 1010110 => [1,1,1,1,2,1] => 1023
[8,3,2,6,5,4,1,7] => 1101110 => [2,1,3,1] => 262
[8,3,2,5,7,4,1,6] => 1100110 => [2,2,2,1] => 357
[8,3,1,7,5,4,2,6] => 1101110 => [2,1,3,1] => 262
[8,2,7,4,1,5,3,6] => 1011010 => [1,1,2,1,1,1] => 984
[6,1,3,8,7,5,4,2] => 1001111 => [1,2,4] => 85
[3,6,1,8,7,5,4,2] => 0101111 => [1,1,1,4] => 148
[3,8,1,5,7,6,4,2] => 0100111 => [1,1,2,3] => 265
[3,5,2,8,7,6,4,1] => 0101111 => [1,1,1,4] => 148
[3,4,8,2,7,6,5,1] => 0010111 => [2,1,1,3] => 262
[3,4,8,7,1,6,5,2] => 0011011 => [2,2,1,2] => 357
[8,1,3,5,7,6,4,2] => 1000111 => [1,3,3] => 110
[4,1,8,5,7,6,3,2] => 1010111 => [1,1,1,1,3] => 450
[8,2,7,1,4,5,6,3] => 1010001 => [1,1,1,3,1] => 450
[8,1,7,3,4,6,2,5] => 1010010 => [1,1,1,2,1,1] => 1006
[8,3,1,7,2,6,5,4] => 1101011 => [2,1,1,1,2] => 603
[3,8,2,4,7,6,5,1] => 0100111 => [1,1,2,3] => 265
[2,8,3,7,4,6,5,1] => 0101011 => [1,1,1,1,1,2] => 1023
[8,2,3,7,1,6,5,4] => 1001011 => [1,2,1,1,2] => 603
[8,2,7,1,3,6,5,4] => 1010011 => [1,1,1,2,2] => 622
[8,1,7,2,6,4,3,5] => 1010110 => [1,1,1,1,2,1] => 1023
[8,1,7,5,2,4,3,6] => 1011010 => [1,1,2,1,1,1] => 984
[8,2,3,7,4,6,1,5] => 1001010 => [1,2,1,1,1,1] => 969
[2,4,8,5,7,6,3,1] => 0010111 => [2,1,1,3] => 262
[8,2,4,3,7,6,1,5] => 1010110 => [1,1,1,1,2,1] => 1023
[8,2,7,3,5,1,4,6] => 1010100 => [1,1,1,1,1,2] => 1023
[8,2,7,4,3,1,5,6] => 1011100 => [1,1,3,2] => 265
[8,2,7,3,1,5,6,4] => 1011001 => [1,1,2,2,1] => 611
[8,2,1,5,7,6,4,3] => 1100111 => [2,2,3] => 153
[6,2,1,8,7,5,4,3] => 1101111 => [2,1,4] => 85
[6,1,8,2,7,5,4,3] => 1010111 => [1,1,1,1,3] => 450
[8,1,7,3,5,2,6,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,1,5,2,7,6,4,3] => 1010111 => [1,1,1,1,3] => 450
[8,1,7,2,4,6,5,3] => 1010011 => [1,1,1,2,2] => 622
[8,2,4,1,7,6,5,3] => 1010111 => [1,1,1,1,3] => 450
[4,2,8,3,7,6,5,1] => 1010111 => [1,1,1,1,3] => 450
[4,8,2,1,7,6,5,3] => 0110111 => [1,2,1,3] => 262
[5,1,8,7,2,6,4,3] => 1011011 => [1,1,2,1,2] => 611
[5,8,1,3,7,6,2,4] => 0100110 => [1,1,2,2,1] => 611
[8,2,5,4,1,7,6,3] => 1011011 => [1,1,2,1,2] => 611
[5,1,4,8,7,6,3,2] => 1001111 => [1,2,4] => 85
[8,1,4,3,7,6,5,2] => 1010111 => [1,1,1,1,3] => 450
[4,8,1,3,7,6,5,2] => 0100111 => [1,1,2,3] => 265
[4,3,8,1,7,6,5,2] => 1010111 => [1,1,1,1,3] => 450
[5,8,6,3,2,1,7,4] => 0111101 => [1,4,1,1] => 145
[5,7,6,3,2,4,1,8] => 0111010 => [1,3,1,1,1] => 427
[6,5,7,2,4,3,1,8] => 1010110 => [1,1,1,1,2,1] => 1023
[5,7,1,3,2,8,6,4] => 0101011 => [1,1,1,1,1,2] => 1023
[5,8,1,3,2,7,4,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[8,5,1,3,2,4,6,7] => 1101000 => [2,1,1,3] => 262
[7,5,1,3,2,4,8,6] => 1101001 => [2,1,1,2,1] => 603
[7,5,8,2,1,4,3,6] => 1011010 => [1,1,2,1,1,1] => 984
[6,7,1,2,5,4,8,3] => 0100101 => [1,1,2,1,1,1] => 984
[6,8,1,2,5,7,4,3] => 0100011 => [1,1,3,2] => 265
[7,1,2,3,8,6,4,5] => 1000110 => [1,3,2,1] => 259
[8,1,6,4,2,3,5,7] => 1011000 => [1,1,2,3] => 265
[1,5,4,8,2,3,7,6] => 0101001 => [1,1,1,1,2,1] => 1023
[1,7,8,2,3,5,6,4] => 0010001 => [2,1,3,1] => 262
[7,5,8,2,3,1,4,6] => 1010100 => [1,1,1,1,1,2] => 1023
[7,4,1,2,6,8,3,5] => 1100010 => [2,3,1,1] => 256
[6,2,8,1,5,7,3,4] => 1010010 => [1,1,1,2,1,1] => 1006
[7,2,5,4,1,8,6,3] => 1011011 => [1,1,2,1,2] => 611
[7,3,5,4,2,1,8,6] => 1011101 => [1,1,3,1,1] => 439
[7,3,2,8,5,6,1,4] => 1101010 => [2,1,1,1,1,1] => 969
[1,7,4,3,6,8,5,2] => 0110011 => [1,2,2,2] => 363
[4,7,6,5,2,3,8,1] => 0111001 => [1,3,2,1] => 259
[5,4,6,8,7,2,1,3] => 1001110 => [1,2,3,1] => 262
[6,7,4,2,1,8,5,3] => 0111011 => [1,3,1,2] => 259
[1,7,6,3,2,8,4,5] => 0111010 => [1,3,1,1,1] => 427
[6,5,8,1,7,3,4,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,5,8,2,3,7,4,1] => 1010011 => [1,1,1,2,2] => 622
[6,5,8,3,4,1,7,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,1,2,8,5,3,6,7] => 1001100 => [1,2,2,2] => 363
[3,5,8,2,6,1,7,4] => 0010101 => [2,1,1,1,1,1] => 969
[3,7,6,1,5,2,8,4] => 0110101 => [1,2,1,1,1,1] => 969
[1,7,6,2,5,8,4,3] => 0110011 => [1,2,2,2] => 363
[1,7,6,5,8,4,2,3] => 0110110 => [1,2,1,2,1] => 603
[3,7,6,2,8,4,5,1] => 0110101 => [1,2,1,1,1,1] => 969
[4,3,6,8,5,1,2,7] => 1001100 => [1,2,2,2] => 363
[2,7,1,5,8,4,3,6] => 0100110 => [1,1,2,2,1] => 611
[2,7,6,1,8,4,3,5] => 0110110 => [1,2,1,2,1] => 603
[7,1,2,6,3,5,4,8] => 1001010 => [1,2,1,1,1,1] => 969
[7,2,6,3,4,5,1,8] => 1010010 => [1,1,1,2,1,1] => 1006
[6,1,2,5,7,8,4,3] => 1000011 => [1,4,2] => 85
[4,1,2,7,8,5,3,6] => 1000110 => [1,3,2,1] => 259
[4,7,3,1,2,6,8,5] => 0110001 => [1,2,3,1] => 262
[3,7,6,1,5,8,2,4] => 0110010 => [1,2,2,1,1] => 594
[3,8,5,6,4,2,7,1] => 0101101 => [1,1,1,2,1,1] => 1006
[3,2,6,4,7,8,5,1] => 1010011 => [1,1,1,2,2] => 622
[4,2,7,5,8,3,1,6] => 1010110 => [1,1,1,1,2,1] => 1023
[4,2,7,1,3,8,6,5] => 1010011 => [1,1,1,2,2] => 622
[5,2,1,4,7,8,3,6] => 1100010 => [2,3,1,1] => 256
[5,6,2,7,3,4,8,1] => 0101001 => [1,1,1,1,2,1] => 1023
[6,1,3,8,5,4,7,2] => 1001101 => [1,2,2,1,1] => 594
[2,7,6,8,5,1,3,4] => 0101100 => [1,1,1,2,2] => 622
[2,7,6,8,5,3,1,4] => 0101110 => [1,1,1,3,1] => 450
[1,5,8,6,4,2,3,7] => 0011100 => [2,3,2] => 153
[2,5,8,6,4,1,7,3] => 0011101 => [2,3,1,1] => 256
[1,6,2,3,5,8,7,4] => 0100011 => [1,1,3,2] => 265
[4,7,2,3,1,6,8,5] => 0101001 => [1,1,1,1,2,1] => 1023
[6,7,3,1,5,4,8,2] => 0110101 => [1,2,1,1,1,1] => 969
[7,4,6,2,8,3,5,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,3,5,1,4,8,2,6] => 1010010 => [1,1,1,2,1,1] => 1006
[3,4,6,5,1,2,7,8] => 0011000 => [2,2,3] => 153
[7,5,4,3,8,6,2,1] => 1110111 => [3,1,3] => 110
[4,3,8,2,6,7,5,1] => 1010011 => [1,1,1,2,2] => 622
[4,3,8,2,5,7,1,6] => 1010010 => [1,1,1,2,1,1] => 1006
[4,1,6,2,5,3,7,8] => 1010100 => [1,1,1,1,1,2] => 1023
[5,1,8,6,4,7,2,3] => 1011010 => [1,1,2,1,1,1] => 984
[4,2,6,1,5,3,8,7] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,7,2,3,1,5,8,4] => 0101001 => [1,1,1,1,2,1] => 1023
[7,5,2,3,8,1,6,4] => 1100101 => [2,2,1,1,1] => 582
[7,5,2,3,8,4,1,6] => 1100110 => [2,2,2,1] => 357
[4,5,1,7,6,3,8,2] => 0101101 => [1,1,1,2,1,1] => 1006
[8,1,7,5,2,3,4,6] => 1011000 => [1,1,2,3] => 265
[8,6,3,1,4,2,5,7] => 1110100 => [3,1,1,2] => 259
[4,5,1,6,2,8,7,3] => 0101011 => [1,1,1,1,1,2] => 1023
[4,8,3,6,1,7,2,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[6,2,7,8,3,4,5,1] => 1001001 => [1,2,1,2,1] => 603
[9,2,3,4,5,6,7,8,1] => 10000001 => [1,6,1] => 50
[8,2,3,4,5,6,7,1,9] => 10000010 => [1,5,1,1] => 240
[7,2,3,4,5,6,1,8,9] => 10000100 => [1,4,1,2] => 526
[6,2,3,4,5,1,7,8,9] => 10001000 => [1,3,1,3] => 676
[5,2,3,4,1,6,7,8,9] => 10010000 => [1,2,1,4] => 534
[4,2,3,1,5,6,7,8,9] => 10100000 => [1,1,1,5] => 244
[1,2,4,3,5,6,7,8,9] => 00100000 => [2,1,5] => 138
[1,2,4,6,8,9,7,5,3] => 00000111 => [5,3] => 56
[1,2,4,5,3,6,7,8,9] => 00010000 => [3,1,4] => 220
[1,2,4,6,8,5,7,3] => 0000101 => [4,1,1,1] => 145
[2,1,7,5,8,6,3,4] => 1010110 => [1,1,1,1,2,1] => 1023
[4,7,3,8,6,5,2,1] => 0101111 => [1,1,1,4] => 148
[3,8,7,4,6,5,1,2] => 0110110 => [1,2,1,2,1] => 603
[7,3,8,4,6,5,1,2] => 1010110 => [1,1,1,1,2,1] => 1023
[7,4,3,6,5,8,1,2] => 1101010 => [2,1,1,1,1,1] => 969
[4,5,8,7,2,6,1,3] => 0011010 => [2,2,1,1,1] => 582
[3,8,6,7,5,1,4,2] => 0101101 => [1,1,1,2,1,1] => 1006
[4,2,7,6,5,8,3,1] => 1011011 => [1,1,2,1,2] => 611
[4,6,7,8,5,2,3,1] => 0001101 => [3,2,1,1] => 256
[4,5,3,8,2,7,6,1] => 0101011 => [1,1,1,1,1,2] => 1023
[3,8,5,4,1,7,6,2] => 0111011 => [1,3,1,2] => 259
[6,4,7,2,5,8,3,1] => 1010011 => [1,1,1,2,2] => 622
[6,3,8,7,5,1,4,2] => 1011101 => [1,1,3,1,1] => 439
[5,3,6,4,1,2,8,7] => 1011001 => [1,1,2,2,1] => 611
[6,8,4,3,5,7,1,2] => 0110010 => [1,2,2,1,1] => 594
[5,2,4,8,7,6,1,3] => 1001110 => [1,2,3,1] => 262
[4,2,5,1,7,8,3,6] => 1010010 => [1,1,1,2,1,1] => 1006
[2,5,4,1,3,8,6,7] => 0110010 => [1,2,2,1,1] => 594
[1,4,5,3,8,2,6,7] => 0010100 => [2,1,1,1,2] => 603
[5,1,8,2,4,3,6,7] => 1010100 => [1,1,1,1,1,2] => 1023
[1,5,4,8,2,3,6,7] => 0101000 => [1,1,1,1,3] => 450
[3,5,1,4,7,8,2,6] => 0100010 => [1,1,3,1,1] => 439
[4,8,3,1,6,7,2,5] => 0110010 => [1,2,2,1,1] => 594
[3,4,8,2,6,5,7,1] => 0010101 => [2,1,1,1,1,1] => 969
[3,6,2,4,8,7,1,5] => 0100110 => [1,1,2,2,1] => 611
[4,7,3,2,6,8,1,5] => 0110010 => [1,2,2,1,1] => 594
[7,3,4,6,8,1,2,5] => 1000100 => [1,3,1,2] => 259
[3,6,7,2,5,8,1,4] => 0010010 => [2,1,2,1,1] => 594
[1,5,6,8,3,7,2,4] => 0001010 => [3,1,1,1,1] => 427
[6,1,5,8,3,4,7,2] => 1001001 => [1,2,1,2,1] => 603
[5,6,8,1,3,4,7,2] => 0010001 => [2,1,3,1] => 262
[2,8,5,6,3,4,7,1] => 0101001 => [1,1,1,1,2,1] => 1023
[6,8,1,3,5,4,7,2] => 0100101 => [1,1,2,1,1,1] => 984
[8,1,6,3,5,4,7,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[1,8,7,3,6,4,5,2] => 0110101 => [1,2,1,1,1,1] => 969
[7,1,2,5,8,4,6,3] => 1000101 => [1,3,1,1,1] => 427
[6,2,4,8,1,7,3,5] => 1001010 => [1,2,1,1,1,1] => 969
[3,1,7,8,5,4,6,2] => 1001101 => [1,2,2,1,1] => 594
[1,6,2,7,4,8,5,3] => 0101011 => [1,1,1,1,1,2] => 1023
[2,7,1,8,4,3,5,6] => 0101100 => [1,1,1,2,2] => 622
[6,7,1,8,3,2,4,5] => 0101100 => [1,1,1,2,2] => 622
[2,7,6,3,5,8,1,4] => 0110010 => [1,2,2,1,1] => 594
[2,7,5,6,8,1,3,4] => 0100100 => [1,1,2,1,2] => 611
[6,7,2,8,1,3,4,5] => 0101000 => [1,1,1,1,3] => 450
[5,1,6,8,7,2,3,4] => 1001100 => [1,2,2,2] => 363
[1,5,7,6,8,2,3,4] => 0010100 => [2,1,1,1,2] => 603
[7,4,6,8,5,3,1,2] => 1001110 => [1,2,3,1] => 262
[2,1,5,7,8,3,6,4] => 1000101 => [1,3,1,1,1] => 427
[3,8,6,7,5,1,2,4] => 0101100 => [1,1,1,2,2] => 622
[4,7,5,8,6,3,1,2] => 0101110 => [1,1,1,3,1] => 450
[1,6,8,3,2,5,4,7] => 0011010 => [2,2,1,1,1] => 582
[7,8,5,1,3,2,6,4] => 0110101 => [1,2,1,1,1,1] => 969
[2,6,8,1,5,4,7,3] => 0010101 => [2,1,1,1,1,1] => 969
[1,5,4,7,6,2,8,3] => 0101101 => [1,1,1,2,1,1] => 1006
[2,3,7,6,5,1,8,4] => 0011101 => [2,3,1,1] => 256
[6,1,5,8,3,2,7,4] => 1001101 => [1,2,2,1,1] => 594
[3,1,2,4,8,5,7,6] => 1000101 => [1,3,1,1,1] => 427
[2,5,8,4,6,3,1,7] => 0010110 => [2,1,1,2,1] => 603
[7,1,5,4,8,3,2,6] => 1010110 => [1,1,1,1,2,1] => 1023
[6,4,1,7,5,3,2,8] => 1101110 => [2,1,3,1] => 262
[2,7,6,4,8,1,5,3] => 0110101 => [1,2,1,1,1,1] => 969
[7,2,5,4,8,1,6,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[1,7,2,5,3,8,6,4] => 0101011 => [1,1,1,1,1,2] => 1023
[2,4,1,3,6,8,5,7,9] => 01000100 => [1,1,3,1,2] => 1608
[7,2,3,8,6,1,5,4] => 1001101 => [1,2,2,1,1] => 594
[5,3,8,4,1,2,6,7] => 1011000 => [1,1,2,3] => 265
[2,4,8,3,7,1,5,6] => 0010100 => [2,1,1,1,2] => 603
[5,2,8,4,1,6,3,7] => 1011010 => [1,1,2,1,1,1] => 984
[7,6,5,2,1,8,4,3] => 1111011 => [4,1,2] => 85
[2,7,5,1,8,3,6,4] => 0110101 => [1,2,1,1,1,1] => 969
[5,1,8,7,4,3,6,2] => 1011101 => [1,1,3,1,1] => 439
[3,8,7,2,4,6,1,5] => 0110010 => [1,2,2,1,1] => 594
[5,7,1,3,2,4,8,6] => 0101001 => [1,1,1,1,2,1] => 1023
[4,2,7,6,3,5,8,1] => 1011001 => [1,1,2,2,1] => 611
[8,4,7,6,3,5,1,2] => 1011010 => [1,1,2,1,1,1] => 984
[8,1,7,4,2,3,5,6] => 1011000 => [1,1,2,3] => 265
[6,5,1,3,8,7,4,2] => 1100111 => [2,2,3] => 153
[4,7,8,3,2,5,1,6] => 0011010 => [2,2,1,1,1] => 582
[6,1,8,5,3,7,2,4] => 1011010 => [1,1,2,1,1,1] => 984
[5,1,6,8,3,7,4,2] => 1001011 => [1,2,1,1,2] => 603
[8,6,5,1,7,4,3,2] => 1110111 => [3,1,3] => 110
[7,6,4,1,3,5,8,2] => 1110001 => [3,3,1] => 110
[8,2,3,7,1,4,5,6] => 1001000 => [1,2,1,3] => 262
[2,8,3,7,1,4,5,6] => 0101000 => [1,1,1,1,3] => 450
[5,6,2,7,4,3,1,8] => 0101110 => [1,1,1,3,1] => 450
[8,6,2,7,4,1,3,5] => 1101100 => [2,1,2,2] => 363
[3,7,8,2,6,1,4,5] => 0010100 => [2,1,1,1,2] => 603
[3,7,8,5,2,1,4,6] => 0011100 => [2,3,2] => 153
[6,8,4,7,3,1,5,2] => 0101101 => [1,1,1,2,1,1] => 1006
[4,8,6,5,1,2,7,3] => 0111001 => [1,3,2,1] => 259
[4,8,6,5,1,2,3,7] => 0111000 => [1,3,3] => 110
[3,4,5,1,7,6,8,2] => 0010101 => [2,1,1,1,1,1] => 969
[3,8,7,6,5,1,2,4] => 0111100 => [1,4,2] => 85
[8,4,6,7,1,2,5,3] => 1001001 => [1,2,1,2,1] => 603
[5,7,2,6,1,8,4,3] => 0101011 => [1,1,1,1,1,2] => 1023
[5,7,2,6,1,3,8,4] => 0101001 => [1,1,1,1,2,1] => 1023
[5,8,2,6,1,4,7,3] => 0101001 => [1,1,1,1,2,1] => 1023
[3,8,7,5,6,1,4,2] => 0110101 => [1,2,1,1,1,1] => 969
[6,8,4,7,2,1,5,3] => 0101101 => [1,1,1,2,1,1] => 1006
[1,7,3,4,5,2,8,6] => 0100101 => [1,1,2,1,1,1] => 984
[4,8,2,1,3,5,6,7] => 0110000 => [1,2,4] => 85
[1,7,2,5,4,3,8,6] => 0101101 => [1,1,1,2,1,1] => 1006
[2,6,7,3,4,8,1,5] => 0010010 => [2,1,2,1,1] => 594
[2,1,5,7,4,3,8,6] => 1001101 => [1,2,2,1,1] => 594
[4,1,8,7,5,6,2,3] => 1011010 => [1,1,2,1,1,1] => 984
[1,5,8,7,4,3,6,2] => 0011101 => [2,3,1,1] => 256
[6,4,1,3,8,7,5,2] => 1100111 => [2,2,3] => 153
[2,1,7,4,6,8,3,5] => 1010010 => [1,1,1,2,1,1] => 1006
[1,7,2,4,6,8,3,5] => 0100010 => [1,1,3,1,1] => 439
[8,6,4,2,7,3,5,1] => 1110101 => [3,1,1,1,1] => 427
[7,4,6,1,2,3,8,5] => 1010001 => [1,1,1,3,1] => 450
[1,8,6,2,7,3,5,4] => 0110101 => [1,2,1,1,1,1] => 969
[1,7,8,6,2,3,5,4] => 0011001 => [2,2,2,1] => 357
[2,1,8,3,5,7,6,4] => 1010011 => [1,1,1,2,2] => 622
[3,5,8,1,7,6,2,4] => 0010110 => [2,1,1,2,1] => 603
[2,8,1,3,6,7,5,4] => 0100011 => [1,1,3,2] => 265
[7,2,4,8,6,1,5,3] => 1001101 => [1,2,2,1,1] => 594
[8,2,1,3,4,5,6,7,9] => 11000000 => [2,6] => 28
[3,2,4,5,6,7,8,1,9] => 10000010 => [1,5,1,1] => 240
[8,3,1,2,4,5,6,7,9] => 11000000 => [2,6] => 28
[8,2,3,1,4,5,6,7,9] => 10100000 => [1,1,1,5] => 244
[4,2,3,5,6,7,8,1,9] => 10000010 => [1,5,1,1] => 240
[6,4,3,2,8,1,7,5] => 1110101 => [3,1,1,1,1] => 427
[6,2,4,3,8,1,7,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,8,4,3,1,6,7,2] => 0111001 => [1,3,2,1] => 259
[4,2,8,1,5,7,6,3] => 1010011 => [1,1,1,2,2] => 622
[6,3,7,2,5,4,8,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,4,7,3,2,6,8,1] => 1011001 => [1,1,2,2,1] => 611
[5,7,2,6,3,4,8,1] => 0101001 => [1,1,1,1,2,1] => 1023
[3,7,5,4,6,2,8,1] => 0110101 => [1,2,1,1,1,1] => 969
[6,8,3,2,1,7,4,5] => 0111010 => [1,3,1,1,1] => 427
[4,8,1,7,5,3,2,6] => 0101110 => [1,1,1,3,1] => 450
[5,4,3,7,2,8,6,1] => 1101011 => [2,1,1,1,2] => 603
[3,6,5,7,2,8,4,1] => 0101011 => [1,1,1,1,1,2] => 1023
[4,6,5,3,8,2,1,7] => 0110110 => [1,2,1,2,1] => 603
[2,6,5,8,7,3,1,4] => 0101110 => [1,1,1,3,1] => 450
[6,3,8,4,1,7,2,5] => 1011010 => [1,1,2,1,1,1] => 984
[7,2,8,1,6,4,3,5] => 1010110 => [1,1,1,1,2,1] => 1023
[3,2,8,7,6,4,1,5] => 1011110 => [1,1,4,1] => 148
[8,2,6,4,3,5,1,7] => 1011010 => [1,1,2,1,1,1] => 984
[5,4,2,8,6,3,7,1] => 1101101 => [2,1,2,1,1] => 594
[2,8,7,5,3,1,4,6] => 0111100 => [1,4,2] => 85
[2,5,6,3,1,4,8,7] => 0011001 => [2,2,2,1] => 357
[2,4,7,8,5,3,1,6] => 0001110 => [3,3,1] => 110
[6,5,3,2,4,1,8,7] => 1110101 => [3,1,1,1,1] => 427
[6,5,8,7,3,2,4,1] => 1011101 => [1,1,3,1,1] => 439
[2,1,4,7,8,5,3,6] => 1000110 => [1,3,2,1] => 259
[8,5,6,7,3,1,4,2] => 1001101 => [1,2,2,1,1] => 594
[8,7,5,3,2,6,4,1] => 1111011 => [4,1,2] => 85
[8,5,3,1,4,6,7,2] => 1110001 => [3,3,1] => 110
[8,5,1,6,4,3,7,2] => 1101101 => [2,1,2,1,1] => 594
[6,1,4,3,7,8,2,5] => 1010010 => [1,1,1,2,1,1] => 1006
[6,1,2,7,5,8,3,4] => 1001010 => [1,2,1,1,1,1] => 969
[2,7,3,1,4,6,8,5] => 0110001 => [1,2,3,1] => 262
[2,8,3,1,6,5,7,4] => 0110101 => [1,2,1,1,1,1] => 969
[3,8,5,6,7,1,2,4] => 0100100 => [1,1,2,1,2] => 611
[2,5,8,1,4,6,7,3] => 0010001 => [2,1,3,1] => 262
[2,1,8,7,5,4,6,3] => 1011101 => [1,1,3,1,1] => 439
[7,8,3,4,1,6,5,2] => 0101011 => [1,1,1,1,1,2] => 1023
[8,7,3,4,2,6,5,1] => 1101011 => [2,1,1,1,2] => 603
[8,4,5,2,3,7,1,6] => 1010010 => [1,1,1,2,1,1] => 1006
[4,7,2,8,6,3,1,5] => 0101110 => [1,1,1,3,1] => 450
[4,7,5,2,3,8,1,6] => 0110010 => [1,2,2,1,1] => 594
[6,4,7,5,2,8,3,1] => 1011011 => [1,1,2,1,2] => 611
[7,5,1,3,6,4,8,2] => 1100101 => [2,2,1,1,1] => 582
[6,5,2,3,7,8,4,1] => 1100011 => [2,3,2] => 153
[7,2,6,3,1,5,8,4] => 1011001 => [1,1,2,2,1] => 611
[4,6,3,8,7,5,1,2] => 0101110 => [1,1,1,3,1] => 450
[2,8,4,1,5,7,6,3] => 0110011 => [1,2,2,2] => 363
[1,8,4,2,5,7,6,3] => 0110011 => [1,2,2,2] => 363
[2,8,5,4,1,7,6,3] => 0111011 => [1,3,1,2] => 259
[2,5,8,3,7,1,6,4] => 0010101 => [2,1,1,1,1,1] => 969
[1,8,5,2,4,7,6,3] => 0110011 => [1,2,2,2] => 363
[1,4,6,2,8,7,5,3] => 0010111 => [2,1,1,3] => 262
[7,8,2,4,1,6,5,3] => 0101011 => [1,1,1,1,1,2] => 1023
[2,4,6,1,8,7,5,3] => 0010111 => [2,1,1,3] => 262
[2,8,4,5,1,7,6,3] => 0101011 => [1,1,1,1,1,2] => 1023
[3,5,8,2,7,6,1,4] => 0010110 => [2,1,1,2,1] => 603
[2,1,6,8,7,5,3,4] => 1001110 => [1,2,3,1] => 262
[1,8,2,4,5,7,6,3] => 0100011 => [1,1,3,2] => 265
[1,2,8,3,5,7,6,4] => 0010011 => [2,1,2,2] => 363
[1,3,8,2,5,7,6,4] => 0010011 => [2,1,2,2] => 363
[2,3,8,1,5,7,6,4] => 0010011 => [2,1,2,2] => 363
[2,6,1,8,7,5,3,4] => 0101110 => [1,1,1,3,1] => 450
[1,6,2,8,7,5,3,4] => 0101110 => [1,1,1,3,1] => 450
[1,6,3,8,7,5,2,4] => 0101110 => [1,1,1,3,1] => 450
[2,6,3,8,7,5,1,4] => 0101110 => [1,1,1,3,1] => 450
[3,2,8,1,5,7,6,4] => 1010011 => [1,1,1,2,2] => 622
[3,1,8,2,5,7,6,4] => 1010011 => [1,1,1,2,2] => 622
[2,8,1,4,5,7,6,3] => 0100011 => [1,1,3,2] => 265
[7,8,2,1,4,6,5,3] => 0110011 => [1,2,2,2] => 363
[2,3,6,8,7,5,1,4] => 0001110 => [3,3,1] => 110
[3,1,6,8,7,2,5,4] => 1001101 => [1,2,2,1,1] => 594
[3,8,4,5,1,6,2,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[6,1,4,5,7,2,3,8] => 1000100 => [1,3,1,2] => 259
[8,1,4,7,6,3,2,5] => 1001110 => [1,2,3,1] => 262
[8,3,1,6,4,7,2,5] => 1101010 => [2,1,1,1,1,1] => 969
[5,3,8,6,2,7,1,4] => 1011010 => [1,1,2,1,1,1] => 984
[8,3,6,1,5,7,2,4] => 1010010 => [1,1,1,2,1,1] => 1006
[8,4,6,3,1,2,5,7] => 1011000 => [1,1,2,3] => 265
[6,8,1,4,5,2,3,7] => 0100100 => [1,1,2,1,2] => 611
[1,5,8,4,6,2,3,7] => 0010100 => [2,1,1,1,2] => 603
[2,1,6,5,3,8,4,7] => 1011010 => [1,1,2,1,1,1] => 984
[5,6,8,1,4,2,3,7] => 0010100 => [2,1,1,1,2] => 603
[5,7,4,8,1,2,3,6] => 0101000 => [1,1,1,1,3] => 450
[8,2,1,5,3,7,4,6] => 1101010 => [2,1,1,1,1,1] => 969
[4,7,8,1,2,6,3,5] => 0010010 => [2,1,2,1,1] => 594
[8,7,1,5,6,2,3,4] => 1100100 => [2,2,1,2] => 357
[1,6,5,8,7,2,3,4] => 0101100 => [1,1,1,2,2] => 622
[3,7,1,6,2,4,8,5] => 0101001 => [1,1,1,1,2,1] => 1023
[5,1,2,7,6,8,3,4] => 1001010 => [1,2,1,1,1,1] => 969
[6,1,7,2,5,8,3,4] => 1010010 => [1,1,1,2,1,1] => 1006
[1,7,6,5,8,2,3,4] => 0110100 => [1,2,1,1,2] => 603
[1,6,8,5,7,2,3,4] => 0010100 => [2,1,1,1,2] => 603
[7,5,1,2,6,8,3,4] => 1100010 => [2,3,1,1] => 256
[6,1,5,2,7,8,3,4] => 1010010 => [1,1,1,2,1,1] => 1006
[1,6,3,8,7,2,4,5] => 0101100 => [1,1,1,2,2] => 622
[1,7,3,2,4,6,8,5] => 0110001 => [1,2,3,1] => 262
[8,3,1,4,2,5,7,6] => 1101001 => [2,1,1,2,1] => 603
[3,1,2,7,8,4,6,5] => 1000101 => [1,3,1,1,1] => 427
[5,1,2,6,8,7,3,4] => 1000110 => [1,3,2,1] => 259
[1,8,6,2,5,7,3,4] => 0110010 => [1,2,2,1,1] => 594
[5,7,8,1,2,6,3,4] => 0010010 => [2,1,2,1,1] => 594
[8,1,5,7,6,2,3,4] => 1001100 => [1,2,2,2] => 363
[7,1,6,8,5,2,3,4] => 1001100 => [1,2,2,2] => 363
[3,7,1,2,8,4,6,5] => 0100101 => [1,1,2,1,1,1] => 984
[8,3,1,2,7,6,4,5] => 1100110 => [2,2,2,1] => 357
[1,5,8,7,6,2,3,4] => 0011100 => [2,3,2] => 153
[7,8,6,1,5,2,3,4] => 0110100 => [1,2,1,1,2] => 603
[1,9,3,4,5,6,7,8,2] => 01000001 => [1,1,5,1] => 244
[1,9,8,4,5,6,7,3,2] => 01100011 => [1,2,3,2] => 946
[7,8,6,3,1,5,2,4] => 0111010 => [1,3,1,1,1] => 427
[7,8,1,3,4,5,2,6] => 0100010 => [1,1,3,1,1] => 439
[1,7,4,8,2,5,3,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,8,6,1,4,2,7,5] => 0110101 => [1,2,1,1,1,1] => 969
[7,1,8,2,4,6,3,5] => 1010010 => [1,1,1,2,1,1] => 1006
[7,6,8,4,1,5,3,2] => 1011011 => [1,1,2,1,2] => 611
[7,3,2,8,1,5,4,6] => 1101010 => [2,1,1,1,1,1] => 969
[3,5,4,1,7,2,6,8] => 0110100 => [1,2,1,1,2] => 603
[6,4,7,3,2,5,1,8] => 1011010 => [1,1,2,1,1,1] => 984
[7,6,5,3,8,4,1,2] => 1110110 => [3,1,2,1] => 259
[6,4,5,7,8,1,3,2] => 1000101 => [1,3,1,1,1] => 427
[3,7,4,1,6,8,5,2] => 0110011 => [1,2,2,2] => 363
[3,1,2,7,6,8,5,4] => 1001011 => [1,2,1,1,2] => 603
[6,3,2,8,4,5,1,7] => 1101010 => [2,1,1,1,1,1] => 969
[6,1,8,3,5,4,2,7] => 1010110 => [1,1,1,1,2,1] => 1023
[3,8,5,2,4,6,1,7] => 0110010 => [1,2,2,1,1] => 594
[1,6,4,8,3,5,2,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,5,4,8,6,3,7,2] => 0101101 => [1,1,1,2,1,1] => 1006
[4,8,2,5,3,7,1,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,8,4,5,2,6,7,1] => 0101001 => [1,1,1,1,2,1] => 1023
[4,1,8,6,5,3,7,2] => 1011101 => [1,1,3,1,1] => 439
[5,7,8,4,6,3,2,1] => 0010111 => [2,1,1,3] => 262
[5,3,2,8,6,4,7,1] => 1101101 => [2,1,2,1,1] => 594
[6,8,1,2,7,4,3,5] => 0100110 => [1,1,2,2,1] => 611
[5,8,7,3,6,2,4,1] => 0110101 => [1,2,1,1,1,1] => 969
[7,5,2,3,4,8,6,1] => 1100011 => [2,3,2] => 153
[7,3,5,4,2,8,6,1] => 1011011 => [1,1,2,1,2] => 611
[5,6,1,3,2,4,7,8] => 0101000 => [1,1,1,1,3] => 450
[2,5,1,3,7,8,6,4] => 0100011 => [1,1,3,2] => 265
[4,3,7,2,1,8,6,5] => 1011011 => [1,1,2,1,2] => 611
[4,6,7,2,1,3,5,8] => 0011000 => [2,2,3] => 153
[4,6,2,3,1,5,7,8] => 0101000 => [1,1,1,1,3] => 450
[3,6,4,2,5,1,7,8] => 0110100 => [1,2,1,1,2] => 603
[3,1,6,4,7,5,2,8] => 1010110 => [1,1,1,1,2,1] => 1023
[3,6,2,7,5,4,1,8] => 0101110 => [1,1,1,3,1] => 450
[2,4,7,5,3,6,1,8] => 0011010 => [2,2,1,1,1] => 582
[2,5,7,3,4,1,6,8] => 0010100 => [2,1,1,1,2] => 603
[2,3,5,8,6,4,7,1] => 0001101 => [3,2,1,1] => 256
[2,4,7,3,8,6,5,1] => 0010111 => [2,1,1,3] => 262
[3,4,2,7,5,8,6,1] => 0101011 => [1,1,1,1,1,2] => 1023
[3,1,5,4,7,8,6,2] => 1010011 => [1,1,1,2,2] => 622
[4,5,7,2,3,1,8,6] => 0010101 => [2,1,1,1,1,1] => 969
[3,7,8,1,4,6,5,2] => 0010011 => [2,1,2,2] => 363
[2,5,8,7,4,1,3,6] => 0011100 => [2,3,2] => 153
[2,6,4,7,5,3,8,1] => 0101101 => [1,1,1,2,1,1] => 1006
[6,2,4,7,1,3,8,5] => 1001001 => [1,2,1,2,1] => 603
[7,3,5,1,4,2,8,6] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,4,7,1,3,2,8,6] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,1,4,7,5,3,8,2] => 1001101 => [1,2,2,1,1] => 594
[8,7,4,3,1,5,6,2] => 1111001 => [4,2,1] => 85
[8,7,1,4,3,5,6,2] => 1101001 => [2,1,1,2,1] => 603
[6,1,8,4,7,3,2,5] => 1010110 => [1,1,1,1,2,1] => 1023
[4,7,3,6,1,2,8,5] => 0101001 => [1,1,1,1,2,1] => 1023
[5,2,1,7,4,3,8,6] => 1101101 => [2,1,2,1,1] => 594
[4,7,6,2,3,1,8,5] => 0110101 => [1,2,1,1,1,1] => 969
[7,6,8,2,5,3,4,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[2,3,6,1,8,7,5,4] => 0010111 => [2,1,1,3] => 262
[2,6,8,7,5,3,1,4] => 0011110 => [2,4,1] => 85
[6,4,1,7,5,2,8,3] => 1101101 => [2,1,2,1,1] => 594
[5,7,8,2,3,6,1,4] => 0010010 => [2,1,2,1,1] => 594
[4,8,7,1,2,5,6,3] => 0110001 => [1,2,3,1] => 262
[2,8,7,4,1,5,6,3] => 0111001 => [1,3,2,1] => 259
[8,6,2,1,5,7,4,3] => 1110011 => [3,2,2] => 153
[3,8,6,7,5,2,1,4] => 0101110 => [1,1,1,3,1] => 450
[6,1,3,7,5,8,2,4] => 1001010 => [1,2,1,1,1,1] => 969
[4,7,3,1,8,5,6,2] => 0110101 => [1,2,1,1,1,1] => 969
[2,6,7,5,3,4,8,1] => 0011001 => [2,2,2,1] => 357
[2,6,4,5,7,3,8,1] => 0100101 => [1,1,2,1,1,1] => 984
[6,1,4,5,8,3,7,2] => 1000101 => [1,3,1,1,1] => 427
[6,1,8,5,3,4,7,2] => 1011001 => [1,1,2,2,1] => 611
[4,1,5,6,8,3,7,2] => 1000101 => [1,3,1,1,1] => 427
[6,4,1,8,7,2,5,3] => 1101101 => [2,1,2,1,1] => 594
[1,7,2,3,4,5,6,9,8] => 01000001 => [1,1,5,1] => 244
[1,3,8,5,2,7,4,6] => 0011010 => [2,2,1,1,1] => 582
[1,3,8,6,7,2,4,5] => 0010100 => [2,1,1,1,2] => 603
[2,8,3,7,6,1,4,5] => 0101100 => [1,1,1,2,2] => 622
[4,2,7,8,6,1,3,5] => 1001100 => [1,2,2,2] => 363
[1,3,8,7,6,2,4,5] => 0011100 => [2,3,2] => 153
[7,4,6,8,5,2,3,1] => 1001101 => [1,2,2,1,1] => 594
[7,5,3,6,8,2,1,4] => 1100110 => [2,2,2,1] => 357
[5,2,6,7,8,1,3,4] => 1000100 => [1,3,1,2] => 259
[4,5,6,8,1,2,7,3] => 0001001 => [3,1,2,1] => 259
[3,5,8,6,1,2,7,4] => 0011001 => [2,2,2,1] => 357
[4,2,6,8,7,1,3,5] => 1001100 => [1,2,2,2] => 363
[1,4,6,8,7,2,3,5] => 0001100 => [3,2,2] => 153
[4,5,3,8,1,7,2,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,5,8,4,1,7,2,6] => 0011010 => [2,2,1,1,1] => 582
[1,6,5,7,8,2,3,4] => 0100100 => [1,1,2,1,2] => 611
[5,6,4,8,2,3,7,1] => 0101001 => [1,1,1,1,2,1] => 1023
[6,5,4,8,1,3,7,2] => 1101001 => [2,1,1,2,1] => 603
[7,6,4,8,5,1,3,2] => 1101101 => [2,1,2,1,1] => 594
[7,2,6,5,8,1,3,4] => 1010100 => [1,1,1,1,1,2] => 1023
[6,3,7,5,2,4,8,1] => 1011001 => [1,1,2,2,1] => 611
[8,1,2,7,4,5,3,6] => 1001010 => [1,2,1,1,1,1] => 969
[2,5,7,4,6,1,3,8] => 0010100 => [2,1,1,1,2] => 603
[6,1,7,4,5,3,8,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,2,7,3,1,5,4,6] => 1011010 => [1,1,2,1,1,1] => 984
[2,6,4,8,3,1,7,5] => 0101101 => [1,1,1,2,1,1] => 1006
[8,1,3,7,5,6,4,2] => 1001011 => [1,2,1,1,2] => 603
[1,2,5,3,8,6,7,4] => 0010101 => [2,1,1,1,1,1] => 969
[4,1,6,5,7,8,2,3] => 1010010 => [1,1,1,2,1,1] => 1006
[6,1,3,7,4,2,8,5] => 1001101 => [1,2,2,1,1] => 594
[6,7,2,4,1,3,8,5] => 0101001 => [1,1,1,1,2,1] => 1023
[7,3,8,4,2,6,5,1] => 1011011 => [1,1,2,1,2] => 611
[8,5,3,4,2,7,1,6] => 1101010 => [2,1,1,1,1,1] => 969
[1,3,8,2,5,6,7,4] => 0010001 => [2,1,3,1] => 262
[1,8,6,7,2,5,4,3] => 0101011 => [1,1,1,1,1,2] => 1023
[7,6,8,3,5,4,2,1] => 1010111 => [1,1,1,1,3] => 450
[1,6,7,3,8,5,4,2] => 0010111 => [2,1,1,3] => 262
[8,7,2,4,6,1,5,3] => 1100101 => [2,2,1,1,1] => 582
[7,8,6,5,2,4,3,1] => 0111011 => [1,3,1,2] => 259
[3,6,7,5,2,8,4,1] => 0011011 => [2,2,1,2] => 357
[5,4,6,7,8,1,3,2] => 1000101 => [1,3,1,1,1] => 427
[5,3,6,7,8,1,4,2] => 1000101 => [1,3,1,1,1] => 427
[5,3,7,6,8,4,1,2] => 1010110 => [1,1,1,1,2,1] => 1023
[7,5,3,2,8,6,4,1] => 1110111 => [3,1,3] => 110
[5,4,8,6,7,2,3,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,4,8,6,3,1,2,7] => 1011100 => [1,1,3,2] => 265
[4,5,7,3,6,2,8,1] => 0010101 => [2,1,1,1,1,1] => 969
[4,5,6,3,8,2,7,1] => 0010101 => [2,1,1,1,1,1] => 969
[5,4,8,7,2,1,3,6] => 1011100 => [1,1,3,2] => 265
[2,5,4,7,8,1,3,6] => 0100100 => [1,1,2,1,2] => 611
[5,3,6,4,8,2,7,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,3,7,4,6,2,8,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,2,6,3,7,4,5,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,2,4,7,3,5,6,1] => 1001001 => [1,2,1,2,1] => 603
[8,2,6,5,7,3,4,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,5,6,2,7,3,8,1] => 0010101 => [2,1,1,1,1,1] => 969
[5,4,6,2,8,3,7,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,4,6,1,7,2,5,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,2,1,6,3,8,7,4] => 1101011 => [2,1,1,1,2] => 603
[4,5,6,3,7,1,8,2] => 0010101 => [2,1,1,1,1,1] => 969
[6,3,2,8,5,4,1,7] => 1101110 => [2,1,3,1] => 262
[4,3,1,5,2,8,6,7] => 1101010 => [2,1,1,1,1,1] => 969
[8,5,4,1,3,2,6,7] => 1110100 => [3,1,1,2] => 259
[3,8,4,1,5,2,6,7] => 0110100 => [1,2,1,1,2] => 603
[2,5,4,3,8,1,6,7] => 0110100 => [1,2,1,1,2] => 603
[2,5,7,4,3,1,6,8] => 0011100 => [2,3,2] => 153
[5,3,4,2,7,1,6,8] => 1010100 => [1,1,1,1,1,2] => 1023
[3,7,5,4,1,2,6,8] => 0111000 => [1,3,3] => 110
[4,2,5,1,3,8,7,6] => 1010011 => [1,1,1,2,2] => 622
[4,3,5,1,2,7,6,8] => 1010010 => [1,1,1,2,1,1] => 1006
[5,3,4,1,7,2,6,8] => 1010100 => [1,1,1,1,1,2] => 1023
[4,1,6,3,5,2,7,8] => 1010100 => [1,1,1,1,1,2] => 1023
[4,2,1,8,6,3,7,5] => 1101101 => [2,1,2,1,1] => 594
[3,1,7,2,5,6,4,8] => 1010010 => [1,1,1,2,1,1] => 1006
[3,7,5,4,2,1,6,8] => 0111100 => [1,4,2] => 85
[3,7,2,4,1,6,5,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[7,3,2,1,6,4,5,8] => 1110100 => [3,1,1,2] => 259
[2,8,6,1,7,4,3,5] => 0110110 => [1,2,1,2,1] => 603
[2,5,4,6,1,3,7,8] => 0101000 => [1,1,1,1,3] => 450
[2,5,6,4,1,3,7,8] => 0011000 => [2,2,3] => 153
[8,5,2,6,1,3,7,4] => 1101001 => [2,1,1,2,1] => 603
[7,1,5,6,3,2,4,8] => 1001100 => [1,2,2,2] => 363
[7,1,2,5,4,6,3,8] => 1001010 => [1,2,1,1,1,1] => 969
[2,4,1,6,5,3,7,8] => 0101100 => [1,1,1,2,2] => 622
[4,1,2,7,5,6,3,8] => 1001010 => [1,2,1,1,1,1] => 969
[7,1,2,6,5,4,3,8] => 1001110 => [1,2,3,1] => 262
[8,2,1,5,6,3,7,4] => 1100101 => [2,2,1,1,1] => 582
[6,1,4,5,3,2,7,8] => 1001100 => [1,2,2,2] => 363
[3,1,6,5,4,2,7,8] => 1011100 => [1,1,3,2] => 265
[3,1,4,6,5,2,7,8] => 1001100 => [1,2,2,2] => 363
[6,4,1,5,3,2,8,7] => 1101101 => [2,1,2,1,1] => 594
[2,1,8,6,3,7,5,4] => 1011011 => [1,1,2,1,2] => 611
[5,8,3,1,7,6,4,2] => 0110111 => [1,2,1,3] => 262
[7,6,3,2,8,5,1,4] => 1110110 => [3,1,2,1] => 259
[5,6,3,8,7,4,1,2] => 0101110 => [1,1,1,3,1] => 450
[5,2,6,8,7,4,1,3] => 1001110 => [1,2,3,1] => 262
[6,3,8,5,4,1,2,7] => 1011100 => [1,1,3,2] => 265
[6,3,8,4,5,1,2,7] => 1010100 => [1,1,1,1,1,2] => 1023
[5,2,3,1,4,8,6,7] => 1010010 => [1,1,1,2,1,1] => 1006
[5,4,1,3,2,8,6,7] => 1101010 => [2,1,1,1,1,1] => 969
[5,1,3,4,2,8,6,7] => 1001010 => [1,2,1,1,1,1] => 969
[5,2,1,4,3,8,6,7] => 1101010 => [2,1,1,1,1,1] => 969
[4,2,7,3,8,5,1,6] => 1010110 => [1,1,1,1,2,1] => 1023
[4,7,3,2,8,5,1,6] => 0110110 => [1,2,1,2,1] => 603
[4,3,7,2,8,5,6,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,3,1,2,4,8,6,7] => 1100010 => [2,3,1,1] => 256
[5,4,3,1,2,8,6,7] => 1110010 => [3,2,1,1] => 256
[5,3,4,1,2,8,6,7] => 1010010 => [1,1,1,2,1,1] => 1006
[5,2,3,4,1,8,6,7] => 1001010 => [1,2,1,1,1,1] => 969
[5,1,7,3,4,6,8,2] => 1010001 => [1,1,1,3,1] => 450
[5,8,7,4,3,1,6,2] => 0111101 => [1,4,1,1] => 145
[6,8,1,3,4,5,7,2] => 0100001 => [1,1,4,1] => 148
[3,5,2,8,1,6,7,4] => 0101001 => [1,1,1,1,2,1] => 1023
[3,1,7,8,2,5,4,6] => 1001010 => [1,2,1,1,1,1] => 969
[6,2,3,7,4,1,8,5] => 1001101 => [1,2,2,1,1] => 594
[6,3,7,4,1,2,5,8] => 1011000 => [1,1,2,3] => 265
[3,7,2,8,6,5,1,4] => 0101110 => [1,1,1,3,1] => 450
[3,6,7,5,1,2,4,8] => 0011000 => [2,2,3] => 153
[7,4,5,1,8,2,3,6] => 1010100 => [1,1,1,1,1,2] => 1023
[7,2,3,1,8,4,5,6] => 1010100 => [1,1,1,1,1,2] => 1023
[2,1,4,8,3,7,5,6] => 1001010 => [1,2,1,1,1,1] => 969
[4,8,1,6,7,3,2,5] => 0100110 => [1,1,2,2,1] => 611
[1,2,7,8,4,3,6,5] => 0001101 => [3,2,1,1] => 256
[5,8,1,4,3,2,7,6] => 0101101 => [1,1,1,2,1,1] => 1006
[4,8,1,3,5,6,2,7] => 0100010 => [1,1,3,1,1] => 439
[5,3,7,8,4,2,6,1] => 1001101 => [1,2,2,1,1] => 594
[6,3,7,8,2,4,5,1] => 1001001 => [1,2,1,2,1] => 603
[8,5,2,4,3,1,7,6] => 1101101 => [2,1,2,1,1] => 594
[7,5,4,2,3,1,8,6] => 1110101 => [3,1,1,1,1] => 427
[3,5,6,4,8,1,7,2] => 0010101 => [2,1,1,1,1,1] => 969
[3,5,4,6,7,1,8,2] => 0100101 => [1,1,2,1,1,1] => 984
[1,4,2,6,5,8,7,3] => 0101011 => [1,1,1,1,1,2] => 1023
[1,3,2,6,4,8,7,5] => 0101011 => [1,1,1,1,1,2] => 1023
[1,4,2,5,3,8,7,6] => 0101011 => [1,1,1,1,1,2] => 1023
[1,5,2,6,4,8,7,3] => 0101011 => [1,1,1,1,1,2] => 1023
[1,6,2,5,3,8,7,4] => 0101011 => [1,1,1,1,1,2] => 1023
[2,5,1,4,3,8,7,6] => 0101011 => [1,1,1,1,1,2] => 1023
[1,7,3,5,4,8,6,2] => 0101011 => [1,1,1,1,1,2] => 1023
[1,8,2,6,3,7,5,4] => 0101011 => [1,1,1,1,1,2] => 1023
[1,8,3,6,4,7,5,2] => 0101011 => [1,1,1,1,1,2] => 1023
[1,7,2,6,4,8,5,3] => 0101011 => [1,1,1,1,1,2] => 1023
[1,7,2,6,3,8,5,4] => 0101011 => [1,1,1,1,1,2] => 1023
[1,5,2,7,4,8,6,3] => 0101011 => [1,1,1,1,1,2] => 1023
[1,4,2,8,5,7,6,3] => 0101011 => [1,1,1,1,1,2] => 1023
[4,8,1,3,2,6,5,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,5,3,8,4,7,6,2] => 0101011 => [1,1,1,1,1,2] => 1023
[1,8,4,7,3,6,5,2] => 0101011 => [1,1,1,1,1,2] => 1023
[2,6,3,8,1,5,4,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[8,3,1,4,2,6,5,7] => 1101010 => [2,1,1,1,1,1] => 969
[4,8,7,3,5,2,1,6] => 0110110 => [1,2,1,2,1] => 603
[6,8,7,3,5,2,4,1] => 0110101 => [1,2,1,1,1,1] => 969
[8,3,5,1,2,6,4,7] => 1010010 => [1,1,1,2,1,1] => 1006
[8,6,3,1,5,4,2,7] => 1110110 => [3,1,2,1] => 259
[8,6,4,1,5,3,2,7] => 1110110 => [3,1,2,1] => 259
[8,6,5,4,1,3,2,7] => 1111010 => [4,1,1,1] => 145
[5,3,8,7,4,6,2,1] => 1011011 => [1,1,2,1,2] => 611
[2,3,8,7,4,6,1,5] => 0011010 => [2,2,1,1,1] => 582
[8,3,5,7,4,1,2,6] => 1001100 => [1,2,2,2] => 363
[4,8,5,3,1,2,7,6] => 0111001 => [1,3,2,1] => 259
[6,8,7,3,1,5,4,2] => 0111011 => [1,3,1,2] => 259
[6,8,5,4,1,3,7,2] => 0111001 => [1,3,2,1] => 259
[2,5,8,7,4,6,3,1] => 0011011 => [2,2,1,2] => 357
[4,8,7,6,5,1,3,2] => 0111101 => [1,4,1,1] => 145
[3,8,7,5,1,6,2,4] => 0111010 => [1,3,1,1,1] => 427
[2,3,8,7,5,6,1,4] => 0011010 => [2,2,1,1,1] => 582
[2,8,7,1,3,6,4,5] => 0110010 => [1,2,2,1,1] => 594
[8,5,4,7,2,1,3,6] => 1101100 => [2,1,2,2] => 363
[6,8,7,3,5,2,1,4] => 0110110 => [1,2,1,2,1] => 603
[3,5,8,6,4,2,7,1] => 0011101 => [2,3,1,1] => 256
[6,8,4,1,5,2,7,3] => 0110101 => [1,2,1,1,1,1] => 969
[6,8,2,1,7,5,3,4] => 0110110 => [1,2,1,2,1] => 603
[5,8,4,6,1,2,7,3] => 0101001 => [1,1,1,1,2,1] => 1023
[2,4,8,6,5,1,7,3] => 0011101 => [2,3,1,1] => 256
[4,8,7,6,5,2,1,3] => 0111110 => [1,5,1] => 37
[4,8,7,5,1,6,2,3] => 0111010 => [1,3,1,1,1] => 427
[4,5,2,1,8,6,7,3] => 0110101 => [1,2,1,1,1,1] => 969
[4,5,8,3,1,6,7,2] => 0011001 => [2,2,2,1] => 357
[5,7,2,8,4,6,1,3] => 0101010 => [1,1,1,1,1,1,1] => 1623
[6,7,3,2,4,8,5,1] => 0110011 => [1,2,2,2] => 363
[7,2,8,6,4,5,1,3] => 1011010 => [1,1,2,1,1,1] => 984
[8,7,2,6,5,1,3,4] => 1101100 => [2,1,2,2] => 363
[5,2,7,8,4,1,3,6] => 1001100 => [1,2,2,2] => 363
[2,7,8,6,4,1,3,5] => 0011100 => [2,3,2] => 153
[7,6,3,5,2,8,4,1] => 1101011 => [2,1,1,1,2] => 603
[6,2,7,4,8,5,3,1] => 1010111 => [1,1,1,1,3] => 450
[8,6,5,1,7,2,4,3] => 1110101 => [3,1,1,1,1] => 427
[6,8,5,1,7,3,2,4] => 0110110 => [1,2,1,2,1] => 603
[1,6,8,3,7,4,2,5] => 0010110 => [2,1,1,2,1] => 603
[5,1,6,3,4,8,2,7] => 1010010 => [1,1,1,2,1,1] => 1006
[3,5,2,6,4,8,1,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,5,2,4,8,1,7,6] => 0100101 => [1,1,2,1,1,1] => 984
[6,3,8,2,4,1,7,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,6,3,8,7,5,2,1] => 0101111 => [1,1,1,4] => 148
[6,3,8,7,5,4,2,1] => 1011111 => [1,1,5] => 37
[6,8,4,2,1,7,5,3] => 0111011 => [1,3,1,2] => 259
[5,2,6,4,3,8,1,7] => 1011010 => [1,1,2,1,1,1] => 984
[6,5,3,1,4,8,2,7] => 1110010 => [3,2,1,1] => 256
[3,1,7,8,6,4,2,5] => 1001110 => [1,2,3,1] => 262
[3,8,1,7,6,2,5,4] => 0101101 => [1,1,1,2,1,1] => 1006
[8,1,7,6,4,2,5,3] => 1011101 => [1,1,3,1,1] => 439
[7,2,6,3,8,5,4,1] => 1010111 => [1,1,1,1,3] => 450
[7,3,8,6,4,1,5,2] => 1011101 => [1,1,3,1,1] => 439
[1,7,5,8,2,4,3,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[6,1,5,2,4,8,3,7] => 1010010 => [1,1,1,2,1,1] => 1006
[1,5,6,3,8,2,4,7] => 0010100 => [2,1,1,1,2] => 603
[8,7,1,3,6,5,2,4] => 1100110 => [2,2,2,1] => 357
[2,6,7,4,3,8,5,1] => 0011011 => [2,2,1,2] => 357
[5,2,4,7,3,8,6,1] => 1001011 => [1,2,1,1,2] => 603
[1,5,8,7,2,4,6,3] => 0011001 => [2,2,2,1] => 357
[1,4,8,7,3,6,5,2] => 0011011 => [2,2,1,2] => 357
[8,3,7,2,5,1,6,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[3,7,2,8,1,5,4,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,2,6,1,5,8,4,7] => 1010010 => [1,1,1,2,1,1] => 1006
[7,2,1,5,8,4,3,6] => 1100110 => [2,2,2,1] => 357
[7,2,8,1,4,3,6,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[1,7,8,3,2,6,5,4] => 0011011 => [2,2,1,2] => 357
[1,7,4,8,3,2,6,5] => 0101101 => [1,1,1,2,1,1] => 1006
[1,7,5,4,8,3,2,6] => 0110110 => [1,2,1,2,1] => 603
[6,1,5,4,3,8,2,7] => 1011010 => [1,1,2,1,1,1] => 984
[1,7,4,5,6,8,2,3] => 0100010 => [1,1,3,1,1] => 439
[1,3,4,5,6,7,9,8,2] => 00000011 => [6,2] => 28
[7,3,4,5,6,8,1,2,9] => 10000100 => [1,4,1,2] => 526
[2,3,4,5,7,6,8,1,9] => 00001010 => [4,1,1,1,1] => 888
[1,8,4,5,6,7,9,2,3] => 01000010 => [1,1,4,1,1] => 912
[1,3,4,5,6,8,7,9,2] => 00000101 => [5,1,1,1] => 240
[1,6,4,2,3,5,7,8] => 0110000 => [1,2,4] => 85
[1,8,7,2,3,4,5,6] => 0110000 => [1,2,4] => 85
[1,5,8,6,2,3,4,7] => 0011000 => [2,2,3] => 153
[1,6,5,7,2,3,4,8] => 0101000 => [1,1,1,1,3] => 450
[1,7,5,6,2,3,4,8] => 0101000 => [1,1,1,1,3] => 450
[1,3,2,7,6,4,5,8] => 0101100 => [1,1,1,2,2] => 622
[1,2,3,7,6,4,5,8] => 0001100 => [3,2,2] => 153
[1,5,4,2,3,7,6,8] => 0110010 => [1,2,2,1,1] => 594
[1,5,4,2,3,8,6,7] => 0110010 => [1,2,2,1,1] => 594
[1,3,2,8,6,4,5,7] => 0101100 => [1,1,1,2,2] => 622
[1,7,5,8,2,3,4,6] => 0101000 => [1,1,1,1,3] => 450
[1,8,7,5,2,3,4,6] => 0111000 => [1,3,3] => 110
[2,1,5,8,6,3,7,4] => 1001101 => [1,2,2,1,1] => 594
[2,5,8,4,6,1,7,3] => 0010101 => [2,1,1,1,1,1] => 969
[2,5,3,8,6,1,7,4] => 0101101 => [1,1,1,2,1,1] => 1006
[2,6,3,5,8,1,7,4] => 0100101 => [1,1,2,1,1,1] => 984
[6,3,2,5,8,1,7,4] => 1100101 => [2,2,1,1,1] => 582
[5,3,2,8,6,1,7,4] => 1101101 => [2,1,2,1,1] => 594
[5,8,4,6,1,3,7,2] => 0101001 => [1,1,1,1,2,1] => 1023
[5,3,8,6,1,4,7,2] => 1011001 => [1,1,2,2,1] => 611
[2,6,5,4,8,1,7,3] => 0110101 => [1,2,1,1,1,1] => 969
[8,3,5,7,2,6,4,1] => 1001011 => [1,2,1,1,2] => 603
[2,4,6,8,5,3,7,1] => 0001101 => [3,2,1,1] => 256
[2,4,8,1,7,6,5,3] => 0010111 => [2,1,1,3] => 262
[4,3,8,1,5,7,6,2] => 1010011 => [1,1,1,2,2] => 622
[3,8,4,1,5,7,6,2] => 0110011 => [1,2,2,2] => 363
[4,3,6,8,5,2,7,1] => 1001101 => [1,2,2,1,1] => 594
[8,5,4,7,2,6,3,1] => 1101011 => [2,1,1,1,2] => 603
[3,6,8,5,4,2,7,1] => 0011101 => [2,3,1,1] => 256
[3,6,4,8,5,2,7,1] => 0101101 => [1,1,1,2,1,1] => 1006
[3,6,4,1,8,2,7,5] => 0110101 => [1,2,1,1,1,1] => 969
[3,6,4,1,5,2,8,7] => 0110101 => [1,2,1,1,1,1] => 969
[4,8,6,5,1,3,7,2] => 0111001 => [1,3,2,1] => 259
[2,8,3,5,6,7,1,4] => 0100010 => [1,1,3,1,1] => 439
[5,6,2,4,7,1,8,3] => 0100101 => [1,1,2,1,1,1] => 984
[2,7,5,4,6,1,8,3] => 0110101 => [1,2,1,1,1,1] => 969
[2,3,7,4,6,1,8,5] => 0010101 => [2,1,1,1,1,1] => 969
[2,6,7,4,1,3,8,5] => 0011001 => [2,2,2,1] => 357
[6,5,7,4,1,3,8,2] => 1011001 => [1,1,2,2,1] => 611
[2,4,6,3,5,7,8,1] => 0010001 => [2,1,3,1] => 262
[4,1,6,3,5,7,8,2] => 1010001 => [1,1,1,3,1] => 450
[3,6,4,2,5,7,8,1] => 0110001 => [1,2,3,1] => 262
[2,3,6,1,5,7,8,4] => 0010001 => [2,1,3,1] => 262
[4,3,6,2,5,7,8,1] => 1010001 => [1,1,1,3,1] => 450
[4,6,1,2,5,7,8,3] => 0100001 => [1,1,4,1] => 148
[2,6,4,1,5,7,8,3] => 0110001 => [1,2,3,1] => 262
[2,4,1,6,5,7,8,3] => 0101001 => [1,1,1,1,2,1] => 1023
[7,5,4,2,6,1,8,3] => 1110101 => [3,1,1,1,1] => 427
[4,7,3,1,8,6,5,2] => 0110111 => [1,2,1,3] => 262
[5,6,4,2,7,1,8,3] => 0110101 => [1,2,1,1,1,1] => 969
[4,2,7,5,3,1,8,6] => 1011101 => [1,1,3,1,1] => 439
[5,3,6,4,8,2,1,7] => 1010110 => [1,1,1,1,2,1] => 1023
[7,3,2,5,4,1,8,6] => 1101101 => [2,1,2,1,1] => 594
[7,3,2,5,1,8,6,4] => 1101011 => [2,1,1,1,2] => 603
[4,6,3,8,7,2,1,5] => 0101110 => [1,1,1,3,1] => 450
[4,7,6,3,8,2,1,5] => 0110110 => [1,2,1,2,1] => 603
[4,7,3,8,6,2,1,5] => 0101110 => [1,1,1,3,1] => 450
[5,7,3,2,6,1,8,4] => 0110101 => [1,2,1,1,1,1] => 969
[5,7,3,2,6,4,1,8] => 0110110 => [1,2,1,2,1] => 603
[2,7,5,3,1,8,6,4] => 0111011 => [1,3,1,2] => 259
[7,5,2,8,4,3,1,6] => 1101110 => [2,1,3,1] => 262
[7,3,2,4,1,8,6,5] => 1101011 => [2,1,1,1,2] => 603
[8,4,3,2,7,5,1,6] => 1110110 => [3,1,2,1] => 259
[4,3,7,5,8,2,1,6] => 1010110 => [1,1,1,1,2,1] => 1023
[8,4,5,3,7,2,1,6] => 1010110 => [1,1,1,1,2,1] => 1023
[4,3,5,2,8,6,1,7] => 1010110 => [1,1,1,1,2,1] => 1023
[4,5,3,6,8,2,1,7] => 0100110 => [1,1,2,2,1] => 611
[1,2,3,4,5,9,7,8,6] => 00000101 => [5,1,1,1] => 240
[1,2,3,4,9,6,7,8,5] => 00001001 => [4,1,2,1] => 526
[1,2,3,9,5,6,7,8,4] => 00010001 => [3,1,3,1] => 676
[1,2,9,4,5,6,7,8,3] => 00100001 => [2,1,4,1] => 534
[1,2,3,4,9,7,6,8,5] => 00001101 => [4,2,1,1] => 522
[1,2,8,6,4,5,7,3] => 0011001 => [2,2,2,1] => 357
[1,2,3,9,6,5,7,8,4] => 00011001 => [3,2,2,1] => 924
[1,8,5,3,4,6,7,2] => 0110001 => [1,2,3,1] => 262
[1,2,9,5,4,6,7,8,3] => 00110001 => [2,2,3,1] => 934
[1,9,4,3,5,6,7,8,2] => 01100001 => [1,2,4,1] => 534
[9,3,2,4,5,6,7,8,1] => 11000001 => [2,5,1] => 138
[3,5,6,7,8,9,4,2,1] => 00000111 => [5,3] => 56
[7,8,4,1,6,3,5,2] => 0110101 => [1,2,1,1,1,1] => 969
[8,7,5,6,1,3,4,2] => 1101001 => [2,1,1,2,1] => 603
[1,2,3,5,7,4,6,9,8] => 00001001 => [4,1,2,1] => 526
[1,2,3,6,4,7,5,9,8] => 00010101 => [3,1,1,1,1,1] => 2592
[1,2,3,4,6,8,5,7,9] => 00000100 => [5,1,2] => 138
[1,2,3,4,7,5,8,6,9] => 00001010 => [4,1,1,1,1] => 888
[1,2,5,7,3,4,6,9,8] => 00010001 => [3,1,3,1] => 676
[1,2,4,5,7,3,6,9,8] => 00001001 => [4,1,2,1] => 526
[1,2,6,3,4,7,5,9,8] => 00100101 => [2,1,2,1,1,1] => 3588
[1,2,5,6,3,7,4,9,8] => 00010101 => [3,1,1,1,1,1] => 2592
[3,2,6,4,1,8,5,7] => 1011010 => [1,1,2,1,1,1] => 984
[2,8,6,5,3,1,4,7] => 0111100 => [1,4,2] => 85
[5,4,8,6,2,3,1,7] => 1011010 => [1,1,2,1,1,1] => 984
[4,8,7,5,2,3,1,6] => 0111010 => [1,3,1,1,1] => 427
[5,2,4,7,6,8,3,1] => 1001011 => [1,2,1,1,2] => 603
[3,4,2,8,7,5,1,6] => 0101110 => [1,1,1,3,1] => 450
[8,5,7,6,3,2,4,1] => 1011101 => [1,1,3,1,1] => 439
[6,4,1,8,7,3,2,5] => 1101110 => [2,1,3,1] => 262
[1,8,5,4,2,7,3,6] => 0111010 => [1,3,1,1,1] => 427
[3,6,5,8,2,7,4,1] => 0101011 => [1,1,1,1,1,2] => 1023
[8,3,2,7,4,6,5,1] => 1101011 => [2,1,1,1,2] => 603
[7,5,8,4,1,3,6,2] => 1011001 => [1,1,2,2,1] => 611
[7,1,6,2,3,8,4,5] => 1010010 => [1,1,1,2,1,1] => 1006
[6,4,7,1,3,2,8,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,1,3,8,7,2,6,4] => 1001101 => [1,2,2,1,1] => 594
[8,7,1,6,2,5,3,4] => 1101010 => [2,1,1,1,1,1] => 969
[3,8,5,2,4,7,6,1] => 0110011 => [1,2,2,2] => 363
[7,1,5,2,4,8,3,6] => 1010010 => [1,1,1,2,1,1] => 1006
[3,8,5,1,4,7,2,6] => 0110010 => [1,2,2,1,1] => 594
[7,2,5,4,1,3,8,6] => 1011001 => [1,1,2,2,1] => 611
[7,5,8,1,6,3,2,4] => 1010110 => [1,1,1,1,2,1] => 1023
[7,1,4,8,5,6,2,3] => 1001010 => [1,2,1,1,1,1] => 969
[2,3,1,9,4,5,6,7,8] => 01010000 => [1,1,1,1,4] => 934
[4,9,1,2,3,5,6,7,8] => 01000000 => [1,1,6] => 50
[3,9,1,2,4,5,6,7,8] => 01000000 => [1,1,6] => 50
[1,8,2,3,4,5,6,7,9] => 01000000 => [1,1,6] => 50
[7,4,6,1,3,2,5,8] => 1010100 => [1,1,1,1,1,2] => 1023
[1,4,5,8,6,3,2,7] => 0001110 => [3,3,1] => 110
[8,4,5,7,2,6,1,3] => 1001010 => [1,2,1,1,1,1] => 969
[4,5,2,6,7,3,1,8] => 0100110 => [1,1,2,2,1] => 611
[8,1,7,5,3,6,2,4] => 1011010 => [1,1,2,1,1,1] => 984
[5,2,8,3,6,1,4,7] => 1010100 => [1,1,1,1,1,2] => 1023
[5,2,6,3,1,7,8,4] => 1011001 => [1,1,2,2,1] => 611
[4,3,5,1,6,7,8,2] => 1010001 => [1,1,1,3,1] => 450
[5,7,6,1,2,3,8,4] => 0110001 => [1,2,3,1] => 262
[3,6,7,5,1,2,8,4] => 0011001 => [2,2,2,1] => 357
[1,7,6,8,5,2,4,3] => 0101101 => [1,1,1,2,1,1] => 1006
[5,7,6,8,1,2,4,3] => 0101001 => [1,1,1,1,2,1] => 1023
[5,6,3,7,1,4,8,2] => 0101001 => [1,1,1,1,2,1] => 1023
[5,3,2,1,8,6,4,7] => 1110110 => [3,1,2,1] => 259
[9,8,7,5,6,4,3,2,1] => 11101111 => [3,1,4] => 220
[2,1,9,8,6,7,5,4,3] => 10110111 => [1,1,2,1,3] => 1626
[9,8,7,5,4,6,3,2,1] => 11110111 => [4,1,3] => 220
[9,8,7,4,6,5,3,2,1] => 11101111 => [3,1,4] => 220
[2,1,9,8,6,5,7,4,3] => 10111011 => [1,1,3,1,2] => 1608
[2,1,9,8,5,7,6,4,3] => 10110111 => [1,1,2,1,3] => 1626
[1,8,7,6,5,4,3,2,9] => 01111110 => [1,6,1] => 50
[2,1,8,7,6,5,4,3,9] => 10111110 => [1,1,5,1] => 244
[2,8,9,7,6,5,4,3,1] => 00111111 => [2,6] => 28
[7,8,6,1,4,5,2,3] => 0110010 => [1,2,2,1,1] => 594
[1,8,5,4,6,7,2,3] => 0110010 => [1,2,2,1,1] => 594
[6,5,8,3,7,2,1,4] => 1010110 => [1,1,1,1,2,1] => 1023
[7,8,5,3,6,2,1,4] => 0110110 => [1,2,1,2,1] => 603
[7,8,5,3,6,2,4,1] => 0110101 => [1,2,1,1,1,1] => 969
[7,8,4,3,2,6,5,1] => 0111011 => [1,3,1,2] => 259
[1,8,4,3,2,6,7,5] => 0111001 => [1,3,2,1] => 259
[5,4,3,8,2,1,7,6] => 1101101 => [2,1,2,1,1] => 594
[6,4,8,3,2,1,7,5] => 1011101 => [1,1,3,1,1] => 439
[1,8,4,3,2,7,6,5] => 0111011 => [1,3,1,2] => 259
[6,5,8,3,1,2,7,4] => 1011001 => [1,1,2,2,1] => 611
[1,8,6,7,3,2,4,5] => 0101100 => [1,1,1,2,2] => 622
[7,8,6,1,3,2,4,5] => 0110100 => [1,2,1,1,2] => 603
[1,8,4,3,2,7,5,6] => 0111010 => [1,3,1,1,1] => 427
[5,4,3,8,2,1,6,7] => 1101100 => [2,1,2,2] => 363
[1,8,4,3,2,5,7,6] => 0111001 => [1,3,2,1] => 259
[5,4,3,8,2,6,7,1] => 1101001 => [2,1,1,2,1] => 603
[4,5,6,7,8,1,2,9,3] => 00001001 => [4,1,2,1] => 526
[4,5,6,7,1,2,8,9,3] => 00010001 => [3,1,3,1] => 676
[4,5,6,1,2,7,8,9,3] => 00100001 => [2,1,4,1] => 534
[4,5,1,2,6,7,8,9,3] => 01000001 => [1,1,5,1] => 244
[6,4,2,3,5,1,8,7] => 1100101 => [2,2,1,1,1] => 582
[5,2,3,6,1,4,8,7] => 1001001 => [1,2,1,2,1] => 603
[5,2,3,8,6,4,7,1] => 1001101 => [1,2,2,1,1] => 594
[5,2,3,7,4,8,1,6] => 1001010 => [1,2,1,1,1,1] => 969
[8,6,3,2,5,4,7,1] => 1110101 => [3,1,1,1,1] => 427
[7,2,3,4,5,8,1,6] => 1000010 => [1,4,1,1] => 145
[7,2,8,1,5,3,4,6] => 1010100 => [1,1,1,1,1,2] => 1023
[3,8,6,4,7,2,5,1] => 0110101 => [1,2,1,1,1,1] => 969
[2,1,8,6,4,5,7,3] => 1011001 => [1,1,2,2,1] => 611
[4,8,2,5,7,3,1,6] => 0100110 => [1,1,2,2,1] => 611
[5,8,2,3,4,7,1,6] => 0100010 => [1,1,3,1,1] => 439
[6,3,4,7,8,2,1,5] => 1000110 => [1,3,2,1] => 259
[3,8,5,1,4,7,6,2] => 0110011 => [1,2,2,2] => 363
[4,8,5,1,3,6,7,2] => 0110001 => [1,2,3,1] => 262
[4,6,8,5,2,7,3,1] => 0011011 => [2,2,1,2] => 357
[3,7,8,5,2,6,4,1] => 0011011 => [2,2,1,2] => 357
[3,8,6,2,7,4,5,1] => 0110101 => [1,2,1,1,1,1] => 969
[8,5,4,7,1,3,6,2] => 1101001 => [2,1,1,2,1] => 603
[7,3,6,2,8,1,5,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,1,5,2,3,7,6,4] => 1010011 => [1,1,1,2,2] => 622
[6,4,2,3,7,8,5,1] => 1100011 => [2,3,2] => 153
[8,4,2,3,6,7,1,5] => 1100010 => [2,3,1,1] => 256
[4,5,8,3,7,2,1,6] => 0010110 => [2,1,1,2,1] => 603
[3,7,2,8,4,5,1,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,5,1,8,4,6,2,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,2,1,5,6,8,3,7] => 1100010 => [2,3,1,1] => 256
[4,1,2,6,5,8,3,7] => 1001010 => [1,2,1,1,1,1] => 969
[4,1,8,3,2,6,7,5] => 1011001 => [1,1,2,2,1] => 611
[4,2,7,5,8,1,3,6] => 1010100 => [1,1,1,1,1,2] => 1023
[4,6,2,7,8,3,1,5] => 0100110 => [1,1,2,2,1] => 611
[4,6,1,3,8,2,5,7] => 0100100 => [1,1,2,1,2] => 611
[4,3,6,2,1,8,7,5] => 1011011 => [1,1,2,1,2] => 611
[3,7,4,5,1,6,2,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,6,4,5,8,2,1,7] => 0100110 => [1,1,2,2,1] => 611
[6,1,4,5,2,8,7,3] => 1001011 => [1,2,1,1,2] => 603
[7,2,4,5,1,6,3,8] => 1001010 => [1,2,1,1,1,1] => 969
[7,5,4,1,6,3,2,8] => 1110110 => [3,1,2,1] => 259
[1,5,4,8,6,3,2,7] => 0101110 => [1,1,1,3,1] => 450
[7,5,4,8,6,3,1,2] => 1101110 => [2,1,3,1] => 262
[1,8,7,5,3,6,4,2] => 0111011 => [1,3,1,2] => 259
[8,3,7,4,1,6,2,5] => 1011010 => [1,1,2,1,1,1] => 984
[8,5,4,1,6,3,2,7] => 1110110 => [3,1,2,1] => 259
[1,7,4,2,6,5,3,8] => 0110110 => [1,2,1,2,1] => 603
[8,2,1,5,6,7,3,4] => 1100010 => [2,3,1,1] => 256
[6,3,1,8,4,7,2,5] => 1101010 => [2,1,1,1,1,1] => 969
[7,1,4,8,6,3,2,5] => 1001110 => [1,2,3,1] => 262
[4,1,8,5,6,7,2,3] => 1010010 => [1,1,1,2,1,1] => 1006
[5,7,4,8,6,2,1,3] => 0101110 => [1,1,1,3,1] => 450
[5,3,6,8,2,7,1,4] => 1001010 => [1,2,1,1,1,1] => 969
[6,3,7,4,8,2,1,5] => 1010110 => [1,1,1,1,2,1] => 1023
[5,3,6,1,4,7,2,8] => 1010010 => [1,1,1,2,1,1] => 1006
[4,3,6,8,2,7,1,5] => 1001010 => [1,2,1,1,1,1] => 969
[5,3,7,4,8,2,1,6] => 1010110 => [1,1,1,1,2,1] => 1023
[5,3,8,4,1,6,2,7] => 1011010 => [1,1,2,1,1,1] => 984
[5,3,8,1,4,7,2,6] => 1010010 => [1,1,1,2,1,1] => 1006
[5,8,4,1,6,3,2,7] => 0110110 => [1,2,1,2,1] => 603
[7,3,8,4,1,6,2,5] => 1011010 => [1,1,2,1,1,1] => 984
[1,5,8,3,6,7,4,2] => 0010011 => [2,1,2,2] => 363
[1,8,2,5,6,7,3,4] => 0100010 => [1,1,3,1,1] => 439
[7,8,4,1,6,5,2,3] => 0110110 => [1,2,1,2,1] => 603
[6,3,8,1,5,7,2,4] => 1010010 => [1,1,1,2,1,1] => 1006
[8,3,1,2,5,7,4,6] => 1100010 => [2,3,1,1] => 256
[8,1,4,2,6,5,3,7] => 1010110 => [1,1,1,1,2,1] => 1023
[7,8,1,2,3,4,5,9,6] => 01000001 => [1,1,5,1] => 244
[2,8,9,1,3,4,5,6,7] => 00100000 => [2,1,5] => 138
[7,1,8,2,9,3,4,5,6] => 10101000 => [1,1,1,1,1,3] => 2790
[6,1,7,2,8,3,9,4,5] => 10101010 => [1,1,1,1,1,1,1,1] => 10176
[5,1,6,2,7,3,8,4,9] => 10101010 => [1,1,1,1,1,1,1,1] => 10176
[7,1,8,2,3,9,4,5,6] => 10100100 => [1,1,1,2,1,2] => 3790
[6,1,7,2,8,3,4,9,5] => 10101001 => [1,1,1,1,1,2,1] => 6344
[5,1,6,2,7,3,9,4,8] => 10101010 => [1,1,1,1,1,1,1,1] => 10176
[4,1,5,2,7,3,8,6,9] => 10101010 => [1,1,1,1,1,1,1,1] => 10176
[5,1,3,7,4,8,2,6] => 1001010 => [1,2,1,1,1,1] => 969
[5,1,3,4,7,8,2,6] => 1000010 => [1,4,1,1] => 145
[2,5,8,7,4,3,6,1] => 0011101 => [2,3,1,1] => 256
[5,1,7,8,3,4,2,6] => 1001010 => [1,2,1,1,1,1] => 969
[2,5,4,8,3,7,6,1] => 0101011 => [1,1,1,1,1,2] => 1023
[5,6,8,2,3,4,1,7] => 0010010 => [2,1,2,1,1] => 594
[2,3,5,7,4,6,8,1] => 0001001 => [3,1,2,1] => 259
[3,7,4,5,8,1,2,6] => 0100100 => [1,1,2,1,2] => 611
[3,7,8,1,4,5,2,6] => 0010010 => [2,1,2,1,1] => 594
[5,8,2,1,6,3,4,7] => 0110100 => [1,2,1,1,2] => 603
[4,8,1,3,7,5,2,6] => 0100110 => [1,1,2,2,1] => 611
[2,4,7,8,5,3,6,1] => 0001101 => [3,2,1,1] => 256
[5,3,1,4,7,2,8,6] => 1100101 => [2,2,1,1,1] => 582
[4,3,8,5,1,2,7,6] => 1011001 => [1,1,2,2,1] => 611
[2,4,7,5,8,3,6,1] => 0010101 => [2,1,1,1,1,1] => 969
[4,3,5,8,2,1,7,6] => 1001101 => [1,2,2,1,1] => 594
[4,8,5,7,3,1,2,6] => 0101100 => [1,1,1,2,2] => 622
[4,8,7,5,1,3,2,6] => 0111010 => [1,3,1,1,1] => 427
[4,2,8,5,1,3,6,7] => 1011000 => [1,1,2,3] => 265
[3,7,8,4,1,5,2,6] => 0011010 => [2,2,1,1,1] => 582
[3,4,7,5,8,2,1,6] => 0010110 => [2,1,1,2,1] => 603
[1,8,5,7,2,4,3,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,8,5,4,2,3,6,7] => 0111000 => [1,3,3] => 110
[1,3,6,8,5,4,2,7] => 0001110 => [3,3,1] => 110
[1,6,3,8,2,7,4,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,8,2,3,6,7,5,4] => 0100011 => [1,1,3,2] => 265
[1,3,6,8,2,7,5,4] => 0001011 => [3,1,1,2] => 259
[1,6,5,4,3,8,2,7] => 0111010 => [1,3,1,1,1] => 427
[1,8,3,4,5,6,2,7] => 0100010 => [1,1,3,1,1] => 439
[1,8,3,6,2,4,5,7] => 0101000 => [1,1,1,1,3] => 450
[1,4,5,8,3,6,2,7] => 0001010 => [3,1,1,1,1] => 427
[1,2,7,8,4,5,3,6] => 0001010 => [3,1,1,1,1] => 427
[7,2,8,5,6,3,4,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,6,3,8,5,4,2,1] => 1101111 => [2,1,4] => 85
[6,2,8,7,5,4,1,3] => 1011110 => [1,1,4,1] => 148
[6,2,8,4,3,7,1,5] => 1011010 => [1,1,2,1,1,1] => 984
[5,2,8,4,3,1,7,6] => 1011101 => [1,1,3,1,1] => 439
[1,5,7,3,6,2,8,4] => 0010101 => [2,1,1,1,1,1] => 969
[1,2,5,4,8,3,7,6] => 0010101 => [2,1,1,1,1,1] => 969
[1,4,3,6,8,7,2,5] => 0100110 => [1,1,2,2,1] => 611
[3,2,5,7,6,8,1,4] => 1001010 => [1,2,1,1,1,1] => 969
[5,3,2,6,8,4,7,1] => 1100101 => [2,2,1,1,1] => 582
[3,1,8,6,4,7,2,5] => 1011010 => [1,1,2,1,1,1] => 984
[3,1,6,8,5,4,2,7] => 1001110 => [1,2,3,1] => 262
[5,3,2,8,7,6,4,1] => 1101111 => [2,1,4] => 85
[5,3,8,2,7,6,1,4] => 1010110 => [1,1,1,1,2,1] => 1023
[6,5,4,8,3,7,2,1] => 1101011 => [2,1,1,1,2] => 603
[4,8,5,1,3,7,2,6] => 0110010 => [1,2,2,1,1] => 594
[4,3,8,7,2,6,5,1] => 1011011 => [1,1,2,1,2] => 611
[2,7,5,1,8,4,6,3] => 0110101 => [1,2,1,1,1,1] => 969
[7,8,5,2,1,6,4,3] => 0111011 => [1,3,1,2] => 259
[7,6,4,8,1,2,5,3] => 1101001 => [2,1,1,2,1] => 603
[7,5,4,8,3,2,6,1] => 1101101 => [2,1,2,1,1] => 594
[8,6,4,7,3,2,1,5] => 1101110 => [2,1,3,1] => 262
[3,8,5,6,2,7,1,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,4,5,8,7,3,1,6] => 0001110 => [3,3,1] => 110
[2,4,5,8,6,7,1,3] => 0001010 => [3,1,1,1,1] => 427
[4,3,1,5,6,2,8,7] => 1100101 => [2,2,1,1,1] => 582
[4,1,5,8,6,7,2,3] => 1001010 => [1,2,1,1,1,1] => 969
[4,3,7,6,1,2,8,5] => 1011001 => [1,1,2,2,1] => 611
[4,7,5,6,1,2,8,3] => 0101001 => [1,1,1,1,2,1] => 1023
[4,3,7,5,6,2,8,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,5,1,8,6,7,3,2] => 0101011 => [1,1,1,1,1,2] => 1023
[3,4,5,8,6,7,2,1] => 0001011 => [3,1,1,2] => 259
[2,1,5,8,6,7,4,3] => 1001011 => [1,2,1,1,2] => 603
[3,4,5,8,7,1,2,6] => 0001100 => [3,2,2] => 153
[4,7,1,5,6,2,8,3] => 0100101 => [1,1,2,1,1,1] => 984
[2,6,4,7,1,3,8,5] => 0101001 => [1,1,1,1,2,1] => 1023
[5,3,8,6,4,7,2,1] => 1011011 => [1,1,2,1,2] => 611
[6,4,1,5,7,8,3,2] => 1100011 => [2,3,2] => 153
[3,6,4,7,2,1,8,5] => 0101101 => [1,1,1,2,1,1] => 1006
[3,8,4,6,1,7,2,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,8,5,6,4,7,2,1] => 0101011 => [1,1,1,1,1,2] => 1023
[3,8,4,5,6,7,2,1] => 0100011 => [1,1,3,2] => 265
[3,8,6,5,2,7,4,1] => 0111011 => [1,3,1,2] => 259
[3,8,7,5,2,1,4,6] => 0111100 => [1,4,2] => 85
[3,8,6,5,1,7,2,4] => 0111010 => [1,3,1,1,1] => 427
[6,4,1,7,3,2,8,5] => 1101101 => [2,1,2,1,1] => 594
[5,1,4,6,7,2,8,3] => 1000101 => [1,3,1,1,1] => 427
[6,5,4,7,1,3,8,2] => 1101001 => [2,1,1,2,1] => 603
[2,1,6,5,3,7,8,4] => 1011001 => [1,1,2,2,1] => 611
[6,1,4,7,2,3,8,5] => 1001001 => [1,2,1,2,1] => 603
[2,1,3,4,5,6,8,9,7] => 10000001 => [1,6,1] => 50
[2,1,3,4,5,6,7,9,8] => 10000001 => [1,6,1] => 50
[2,3,1,4,5,6,8,9,7] => 01000001 => [1,1,5,1] => 244
[1,3,2,4,5,6,8,9,7] => 01000001 => [1,1,5,1] => 244
[2,3,1,4,5,6,7,9,8] => 01000001 => [1,1,5,1] => 244
[1,3,2,4,5,6,7,9,8] => 01000001 => [1,1,5,1] => 244
[1,6,2,5,4,8,3,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,1,2,7,5,8,3,6] => 1001010 => [1,2,1,1,1,1] => 969
[6,1,3,5,8,2,4,7] => 1000100 => [1,3,1,2] => 259
[5,6,4,3,1,8,2,7] => 0111010 => [1,3,1,1,1] => 427
[6,2,3,5,8,1,4,7] => 1000100 => [1,3,1,2] => 259
[6,7,2,3,8,4,5,1] => 0100101 => [1,1,2,1,1,1] => 984
[6,7,2,1,3,8,4,5] => 0110010 => [1,2,2,1,1] => 594
[5,7,4,1,8,3,2,6] => 0110110 => [1,2,1,2,1] => 603
[4,1,7,5,8,3,6,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,7,1,3,8,4,5,2] => 0100101 => [1,1,2,1,1,1] => 984
[1,6,7,4,3,8,5,2] => 0011011 => [2,2,1,2] => 357
[6,1,7,4,2,8,5,3] => 1011011 => [1,1,2,1,2] => 611
[2,1,6,7,4,3,8,5] => 1001101 => [1,2,2,1,1] => 594
[6,7,3,2,1,8,4,5] => 0111010 => [1,3,1,1,1] => 427
[2,5,7,3,1,4,8,6] => 0011001 => [2,2,2,1] => 357
[6,7,3,2,8,4,5,1] => 0110101 => [1,2,1,1,1,1] => 969
[1,2,6,7,4,3,8,5] => 0001101 => [3,2,1,1] => 256
[2,7,1,8,4,6,3,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,7,5,8,1,6,3,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[6,7,1,8,4,5,3,2] => 0101011 => [1,1,1,1,1,2] => 1023
[8,3,7,6,1,2,5,4] => 1011001 => [1,1,2,2,1] => 611
[8,7,3,4,6,2,5,1] => 1100101 => [2,2,1,1,1] => 582
[8,2,5,7,1,4,6,3] => 1001001 => [1,2,1,2,1] => 603
[8,2,4,7,1,5,6,3] => 1001001 => [1,2,1,2,1] => 603
[8,2,3,4,7,1,5,6] => 1000100 => [1,3,1,2] => 259
[8,7,3,5,6,2,4,1] => 1100101 => [2,2,1,1,1] => 582
[8,7,4,6,5,2,3,1] => 1101101 => [2,1,2,1,1] => 594
[8,4,6,7,5,1,2,3] => 1001100 => [1,2,2,2] => 363
[8,4,6,7,5,1,3,2] => 1001101 => [1,2,2,1,1] => 594
[8,3,5,7,6,1,4,2] => 1001101 => [1,2,2,1,1] => 594
[8,7,3,6,2,1,5,4] => 1101101 => [2,1,2,1,1] => 594
[8,7,3,4,6,2,1,5] => 1100110 => [2,2,2,1] => 357
[8,7,4,6,5,2,1,3] => 1101110 => [2,1,3,1] => 262
[8,6,5,2,7,4,3,1] => 1110111 => [3,1,3] => 110
[8,4,3,7,6,5,1,2] => 1101110 => [2,1,3,1] => 262
[8,5,6,7,4,1,3,2] => 1001101 => [1,2,2,1,1] => 594
[8,5,7,6,4,1,2,3] => 1011100 => [1,1,3,2] => 265
[8,4,2,7,5,1,6,3] => 1101101 => [2,1,2,1,1] => 594
[8,3,4,2,7,5,6,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,4,7,6,5,1,2,3] => 1011100 => [1,1,3,2] => 265
[8,3,5,2,7,4,6,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,5,2,6,7,4,1,3] => 1100110 => [2,2,2,1] => 357
[8,5,3,7,6,4,1,2] => 1101110 => [2,1,3,1] => 262
[8,6,2,5,7,3,1,4] => 1100110 => [2,2,2,1] => 357
[8,6,2,4,7,3,1,5] => 1100110 => [2,2,2,1] => 357
[8,5,2,3,7,4,1,6] => 1100110 => [2,2,2,1] => 357
[8,5,3,2,7,6,4,1] => 1110111 => [3,1,3] => 110
[8,6,1,5,4,3,2,7] => 1101110 => [2,1,3,1] => 262
[2,4,5,8,3,1,6,7] => 0001100 => [3,2,2] => 153
[2,7,4,6,1,5,8,3] => 0101001 => [1,1,1,1,2,1] => 1023
[2,4,3,8,5,1,6,7] => 0101100 => [1,1,1,2,2] => 622
[7,8,3,2,5,4,6,1] => 0110101 => [1,2,1,1,1,1] => 969
[1,5,6,7,3,8,2,4] => 0001010 => [3,1,1,1,1] => 427
[1,6,5,4,8,3,2,7] => 0110110 => [1,2,1,2,1] => 603
[1,7,3,5,8,4,6,2] => 0100101 => [1,1,2,1,1,1] => 984
[7,2,1,6,4,8,5,3] => 1101011 => [2,1,1,1,2] => 603
[7,5,8,3,2,4,6,1] => 1011001 => [1,1,2,2,1] => 611
[3,8,7,2,4,6,5,1] => 0110011 => [1,2,2,2] => 363
[1,3,7,6,4,8,5,2] => 0011011 => [2,2,1,2] => 357
[3,1,8,7,6,4,2,5] => 1011110 => [1,1,4,1] => 148
[3,1,8,7,5,4,2,6] => 1011110 => [1,1,4,1] => 148
[3,1,7,6,5,4,2,8] => 1011110 => [1,1,4,1] => 148
[4,7,1,6,5,3,2,8] => 0101110 => [1,1,1,3,1] => 450
[4,8,1,6,5,3,2,7] => 0101110 => [1,1,1,3,1] => 450
[8,4,1,7,6,3,2,5] => 1101110 => [2,1,3,1] => 262
[5,4,1,8,6,3,2,7] => 1101110 => [2,1,3,1] => 262
[5,4,1,7,6,3,2,8] => 1101110 => [2,1,3,1] => 262
[6,4,1,8,5,3,2,7] => 1101110 => [2,1,3,1] => 262
[8,4,1,7,5,3,2,6] => 1101110 => [2,1,3,1] => 262
[7,4,1,6,5,3,2,8] => 1101110 => [2,1,3,1] => 262
[7,5,6,1,4,3,2,8] => 1010110 => [1,1,1,1,2,1] => 1023
[8,5,6,1,4,3,2,7] => 1010110 => [1,1,1,1,2,1] => 1023
[8,5,7,1,4,3,2,6] => 1010110 => [1,1,1,1,2,1] => 1023
[5,7,6,1,4,3,2,8] => 0110110 => [1,2,1,2,1] => 603
[5,8,6,1,4,3,2,7] => 0110110 => [1,2,1,2,1] => 603
[6,7,5,1,4,3,2,8] => 0110110 => [1,2,1,2,1] => 603
[8,7,5,1,4,3,2,6] => 1110110 => [3,1,2,1] => 259
[8,6,5,1,4,3,2,7] => 1110110 => [3,1,2,1] => 259
[8,6,1,7,2,5,3,4] => 1101010 => [2,1,1,1,1,1] => 969
[1,8,6,3,4,2,5,7] => 0110100 => [1,2,1,1,2] => 603
[3,1,6,4,5,2,7,8] => 1010100 => [1,1,1,1,1,2] => 1023
[3,1,6,4,5,8,2,7] => 1010010 => [1,1,1,2,1,1] => 1006
[3,1,6,4,5,7,2,8] => 1010010 => [1,1,1,2,1,1] => 1006
[7,6,3,8,4,5,2,1] => 1101011 => [2,1,1,1,2] => 603
[8,2,7,6,1,4,3,5] => 1011010 => [1,1,2,1,1,1] => 984
[5,2,7,8,1,4,3,6] => 1001010 => [1,2,1,1,1,1] => 969
[5,6,3,8,4,1,2,7] => 0101100 => [1,1,1,2,2] => 622
[8,2,7,6,1,4,5,3] => 1011001 => [1,1,2,2,1] => 611
[5,2,3,4,7,1,6,8] => 1000100 => [1,3,1,2] => 259
[5,2,3,7,1,6,8,4] => 1001001 => [1,2,1,2,1] => 603
[8,7,5,3,1,6,4,2] => 1111011 => [4,1,2] => 85
[1,4,7,8,5,2,3,6] => 0001100 => [3,2,2] => 153
[5,8,3,7,6,4,1,2] => 0101110 => [1,1,1,3,1] => 450
[6,5,1,7,2,4,8,3] => 1101001 => [2,1,1,2,1] => 603
[3,6,7,1,4,2,5,8] => 0010100 => [2,1,1,1,2] => 603
[4,7,5,8,2,1,3,6] => 0101100 => [1,1,1,2,2] => 622
[8,1,2,7,5,4,3,6] => 1001110 => [1,2,3,1] => 262
[6,5,1,8,3,7,2,4] => 1101010 => [2,1,1,1,1,1] => 969
[1,8,7,5,3,2,6,4] => 0111101 => [1,4,1,1] => 145
[7,8,1,5,4,2,3,6] => 0101100 => [1,1,1,2,2] => 622
[2,7,5,1,4,6,3,8] => 0110010 => [1,2,2,1,1] => 594
[3,4,6,8,1,5,7,2] => 0001001 => [3,1,2,1] => 259
[6,8,1,7,5,4,2,3] => 0101110 => [1,1,1,3,1] => 450
[7,6,3,1,2,8,5,4] => 1110011 => [3,2,2] => 153
[5,2,6,7,4,8,1,3] => 1001010 => [1,2,1,1,1,1] => 969
[1,7,5,2,6,4,8,3] => 0110101 => [1,2,1,1,1,1] => 969
[7,1,3,6,8,2,4,5] => 1000100 => [1,3,1,2] => 259
[1,2,5,7,8,4,6,3] => 0000101 => [4,1,1,1] => 145
[3,1,2,7,5,4,8,6] => 1001101 => [1,2,2,1,1] => 594
[6,7,4,1,3,2,8,5] => 0110101 => [1,2,1,1,1,1] => 969
[1,7,2,8,4,3,5,6] => 0101100 => [1,1,1,2,2] => 622
[1,6,3,5,7,8,2,4] => 0100010 => [1,1,3,1,1] => 439
[8,6,1,7,5,2,4,3] => 1101101 => [2,1,2,1,1] => 594
[7,6,4,1,8,3,2,5] => 1110110 => [3,1,2,1] => 259
[8,4,1,6,5,2,7,3] => 1101101 => [2,1,2,1,1] => 594
[1,5,3,4,7,8,2,6] => 0100010 => [1,1,3,1,1] => 439
[4,2,1,5,7,8,3,6] => 1100010 => [2,3,1,1] => 256
[5,4,1,6,7,8,2,3] => 1100010 => [2,3,1,1] => 256
[5,1,4,6,7,8,2,3] => 1000010 => [1,4,1,1] => 145
[4,1,5,3,7,8,2,6] => 1010010 => [1,1,1,2,1,1] => 1006
[8,1,4,6,5,2,7,3] => 1001101 => [1,2,2,1,1] => 594
[7,1,5,4,6,3,2,8] => 1010110 => [1,1,1,1,2,1] => 1023
[8,2,1,6,7,5,4,3] => 1100111 => [2,2,3] => 153
[1,2,4,7,6,3,8,5] => 0001101 => [3,2,1,1] => 256
[6,7,4,1,8,5,2,3] => 0110110 => [1,2,1,2,1] => 603
[8,6,4,1,5,7,3,2] => 1110011 => [3,2,2] => 153
[5,2,4,3,7,1,6,8] => 1010100 => [1,1,1,1,1,2] => 1023
[6,1,5,4,8,3,2,7] => 1010110 => [1,1,1,1,2,1] => 1023
[1,2,8,7,4,3,6,5] => 0011101 => [2,3,1,1] => 256
[3,2,1,7,5,8,4,6] => 1101010 => [2,1,1,1,1,1] => 969
[1,3,6,4,7,8,2,5] => 0010010 => [2,1,2,1,1] => 594
[4,5,1,3,7,8,2,6] => 0100010 => [1,1,3,1,1] => 439
[5,2,3,1,7,8,4,6] => 1010010 => [1,1,1,2,1,1] => 1006
[1,6,4,3,7,8,2,5] => 0110010 => [1,2,2,1,1] => 594
[7,6,4,3,1,5,2,8] => 1111010 => [4,1,1,1] => 145
[7,5,4,6,1,3,2,8] => 1101010 => [2,1,1,1,1,1] => 969
[8,4,6,5,1,2,7,3] => 1011001 => [1,1,2,2,1] => 611
[1,5,6,3,7,8,2,4] => 0010010 => [2,1,2,1,1] => 594
[6,7,1,2,3,4,8,9,5] => 01000001 => [1,1,5,1] => 244
[6,8,3,5,7,2,4,1] => 0100101 => [1,1,2,1,1,1] => 984
[1,5,2,4,3,8,7,6] => 0101011 => [1,1,1,1,1,2] => 1023
[8,6,5,7,2,1,4,3] => 1101101 => [2,1,2,1,1] => 594
[1,6,3,8,4,5,7,2] => 0101001 => [1,1,1,1,2,1] => 1023
[7,5,4,2,6,3,8,1] => 1110101 => [3,1,1,1,1] => 427
[7,8,6,5,4,3,2,9,1] => 01111101 => [1,5,1,1] => 240
[9,7,6,5,4,3,1,2,8] => 11111100 => [6,2] => 28
[2,4,3,5,6,7,8,9,1] => 01000001 => [1,1,5,1] => 244
[2,3,8,4,7,5,6,1] => 0010101 => [2,1,1,1,1,1] => 969
[3,7,2,8,6,4,5,1] => 0101101 => [1,1,1,2,1,1] => 1006
[6,3,7,5,8,2,4,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,3,7,8,6,2,5,1] => 1001101 => [1,2,2,1,1] => 594
[3,8,1,7,5,2,4,6] => 0101100 => [1,1,1,2,2] => 622
[2,4,7,8,6,1,5,3] => 0001101 => [3,2,1,1] => 256
[2,4,8,5,1,7,3,6] => 0011010 => [2,2,1,1,1] => 582
[2,8,3,5,1,6,4,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[8,2,4,6,3,7,5,1] => 1001011 => [1,2,1,1,2] => 603
[4,5,3,8,2,1,7,6] => 0101101 => [1,1,1,2,1,1] => 1006
[4,8,3,2,5,1,6,7] => 0110100 => [1,2,1,1,2] => 603
[5,2,7,1,3,8,6,4] => 1010011 => [1,1,1,2,2] => 622
[4,5,6,7,8,9,2,1,3] => 00000110 => [5,2,1] => 138
[5,6,7,8,9,2,1,3,4] => 00001100 => [4,2,2] => 306
[6,7,8,9,2,1,3,4,5] => 00011000 => [3,2,3] => 392
[7,8,9,2,1,3,4,5,6] => 00110000 => [2,2,4] => 306
[8,9,2,1,3,4,5,6,7] => 01100000 => [1,2,5] => 138
[1,4,6,2,7,5,3,8] => 0010110 => [2,1,1,2,1] => 603
[8,2,7,5,1,4,6,3] => 1011001 => [1,1,2,2,1] => 611
[1,7,4,6,8,3,5,2] => 0100101 => [1,1,2,1,1,1] => 984
[8,2,1,4,5,6,7,3] => 1100001 => [2,4,1] => 85
[7,3,1,2,5,6,4,8] => 1100010 => [2,3,1,1] => 256
[7,2,4,1,5,8,6,3] => 1010011 => [1,1,1,2,2] => 622
[7,8,2,1,5,4,6,3] => 0110101 => [1,2,1,1,1,1] => 969
[1,4,2,8,6,5,3,7] => 0101110 => [1,1,1,3,1] => 450
[1,4,8,5,2,6,3,7] => 0011010 => [2,2,1,1,1] => 582
[1,5,2,4,6,3,8,7] => 0100101 => [1,1,2,1,1,1] => 984
[1,8,5,3,2,6,4,7] => 0111010 => [1,3,1,1,1] => 427
[6,4,1,3,2,5,8,7] => 1101001 => [2,1,1,2,1] => 603
[5,2,3,7,8,1,6,4] => 1000101 => [1,3,1,1,1] => 427
[5,2,8,6,3,1,7,4] => 1011101 => [1,1,3,1,1] => 439
[6,2,3,5,1,8,7,4] => 1001011 => [1,2,1,1,2] => 603
[7,6,3,4,2,8,1,5] => 1101010 => [2,1,1,1,1,1] => 969
[6,2,4,5,7,8,1,3] => 1000010 => [1,4,1,1] => 145
[8,6,3,2,5,7,1,4] => 1110010 => [3,2,1,1] => 256
[6,2,5,3,7,1,8,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,5,3,6,7,2,1,4] => 1100110 => [2,2,2,1] => 357
[4,5,7,8,6,2,1,3] => 0001110 => [3,3,1] => 110
[1,2,8,4,3,6,7,5] => 0011001 => [2,2,2,1] => 357
[1,8,3,2,4,6,7,5] => 0110001 => [1,2,3,1] => 262
[1,2,7,5,3,4,6,8] => 0011000 => [2,2,3] => 153
[1,2,7,4,5,3,8,6] => 0010101 => [2,1,1,1,1,1] => 969
[1,7,3,2,6,8,4,5] => 0110010 => [1,2,2,1,1] => 594
[8,2,7,1,4,3,5,6] => 1010100 => [1,1,1,1,1,2] => 1023
[7,2,1,3,6,8,4,5] => 1100010 => [2,3,1,1] => 256
[6,2,1,7,8,3,4,5] => 1100100 => [2,2,1,2] => 357
[3,5,8,6,1,4,2,7] => 0011010 => [2,2,1,1,1] => 582
[1,8,4,2,7,6,3,5] => 0110110 => [1,2,1,2,1] => 603
[8,7,2,6,5,4,3,1] => 1101111 => [2,1,4] => 85
[7,3,8,1,6,5,4,2] => 1010111 => [1,1,1,1,3] => 450
[7,3,8,2,6,5,4,1] => 1010111 => [1,1,1,1,3] => 450
[7,1,3,8,6,5,4,2] => 1001111 => [1,2,4] => 85
[8,1,3,7,6,5,4,2] => 1001111 => [1,2,4] => 85
[2,4,1,8,7,3,6,5] => 0101101 => [1,1,1,2,1,1] => 1006
[7,3,8,6,1,5,4,2] => 1011011 => [1,1,2,1,2] => 611
[3,5,1,7,8,2,6,4] => 0100101 => [1,1,2,1,1,1] => 984
[5,4,7,8,2,1,6,3] => 1001101 => [1,2,2,1,1] => 594
[5,3,6,1,8,4,2,7] => 1010110 => [1,1,1,1,2,1] => 1023
[6,3,8,7,1,5,4,2] => 1011011 => [1,1,2,1,2] => 611
[8,6,4,7,1,5,3,2] => 1101011 => [2,1,1,1,2] => 603
[3,4,6,2,1,8,5,7] => 0011010 => [2,2,1,1,1] => 582
[4,5,7,2,1,6,3,8] => 0011010 => [2,2,1,1,1] => 582
[5,6,4,8,3,2,1,7] => 0101110 => [1,1,1,3,1] => 450
[5,7,4,8,2,1,6,3] => 0101101 => [1,1,1,2,1,1] => 1006
[4,7,5,8,2,1,6,3] => 0101101 => [1,1,1,2,1,1] => 1006
[5,7,4,2,6,3,8,1] => 0110101 => [1,2,1,1,1,1] => 969
[5,7,4,1,6,2,8,3] => 0110101 => [1,2,1,1,1,1] => 969
[6,8,7,3,1,4,2,5] => 0111010 => [1,3,1,1,1] => 427
[8,5,6,1,7,3,2,4] => 1010110 => [1,1,1,1,2,1] => 1023
[4,5,1,6,7,8,3,2] => 0100011 => [1,1,3,2] => 265
[4,5,2,6,1,3,8,7] => 0101001 => [1,1,1,1,2,1] => 1023
[8,4,6,7,2,5,1,3] => 1001010 => [1,2,1,1,1,1] => 969
[3,4,6,7,2,5,8,1] => 0001001 => [3,1,2,1] => 259
[7,1,4,6,8,3,5,2] => 1000101 => [1,3,1,1,1] => 427
[6,7,1,2,4,8,5,3] => 0100011 => [1,1,3,2] => 265
[1,6,3,4,7,8,5,2] => 0100011 => [1,1,3,2] => 265
[2,3,6,4,7,5,8,1] => 0010101 => [2,1,1,1,1,1] => 969
[7,8,1,3,4,5,6,2] => 0100001 => [1,1,4,1] => 148
[1,8,2,6,7,3,4,5] => 0100100 => [1,1,2,1,2] => 611
[4,7,3,2,8,1,5,6] => 0110100 => [1,2,1,1,2] => 603
[7,1,2,6,3,8,5,4] => 1001011 => [1,2,1,1,2] => 603
[8,1,2,6,3,7,5,4] => 1001011 => [1,2,1,1,2] => 603
[8,1,2,7,6,3,5,4] => 1001101 => [1,2,2,1,1] => 594
[4,8,7,3,1,6,2,5] => 0111010 => [1,3,1,1,1] => 427
[4,7,8,3,1,6,2,5] => 0011010 => [2,2,1,1,1] => 582
[7,4,3,1,6,2,8,5] => 1110101 => [3,1,1,1,1] => 427
[7,4,3,1,8,6,2,5] => 1110110 => [3,1,2,1] => 259
[3,7,6,2,4,8,1,5] => 0110010 => [1,2,2,1,1] => 594
[4,3,7,2,8,6,1,5] => 1010110 => [1,1,1,1,2,1] => 1023
[6,1,2,7,4,3,8,5] => 1001101 => [1,2,2,1,1] => 594
[5,1,2,6,3,8,7,4] => 1001011 => [1,2,1,1,2] => 603
[5,1,2,7,3,8,6,4] => 1001011 => [1,2,1,1,2] => 603
[6,1,2,7,3,5,8,4] => 1001001 => [1,2,1,2,1] => 603
[8,3,6,2,1,7,4,5] => 1011010 => [1,1,2,1,1,1] => 984
[6,1,2,8,3,5,7,4] => 1001001 => [1,2,1,2,1] => 603
[7,5,3,2,1,8,6,4] => 1111011 => [4,1,2] => 85
[4,2,1,5,3,6,7,8] => 1101000 => [2,1,1,3] => 262
[8,6,4,3,2,1,9,7,5] => 11111011 => [5,1,2] => 138
[7,5,4,3,2,1,8,6,9] => 11111010 => [5,1,1,1] => 240
[8,6,4,2,1,9,7,5,3] => 11110111 => [4,1,3] => 220
[7,5,3,2,1,8,6,4,9] => 11110110 => [4,1,2,1] => 526
[7,4,3,2,1,8,5,9,6] => 11110101 => [4,1,1,1,1] => 888
[6,4,3,2,1,7,5,8,9] => 11110100 => [4,1,1,2] => 526
[7,5,3,1,8,6,4,2,9] => 11101110 => [3,1,3,1] => 676
[7,4,2,1,8,5,3,9,6] => 11101101 => [3,1,2,1,1] => 1560
[6,4,2,1,7,5,3,8,9] => 11101100 => [3,1,2,2] => 936
[6,3,2,1,7,4,8,5,9] => 11101010 => [3,1,1,1,1,1] => 2592
[5,3,2,1,6,4,7,8,9] => 11101000 => [3,1,1,3] => 676
[7,4,1,8,5,2,9,6,3] => 11011011 => [2,1,2,1,2] => 2194
[6,3,1,7,4,2,8,5,9] => 11011010 => [2,1,2,1,1,1] => 3588
[5,3,1,6,4,2,7,8,9] => 11011000 => [2,1,2,3] => 946
[6,2,1,7,3,8,4,9,5] => 11010101 => [2,1,1,1,1,1,1] => 5976
[5,2,1,6,3,7,4,8,9] => 11010100 => [2,1,1,1,1,2] => 3696
[4,2,1,5,3,6,7,8,9] => 11010000 => [2,1,1,4] => 534
[4,1,5,2,6,3,7,8,9] => 10101000 => [1,1,1,1,1,3] => 2790
[3,1,4,2,5,6,7,8,9] => 10100000 => [1,1,1,5] => 244
[6,2,5,4,1,8,7,3] => 1011011 => [1,1,2,1,2] => 611
[4,6,3,2,1,8,7,5] => 0111011 => [1,3,1,2] => 259
[6,5,3,2,1,8,7,4] => 1111011 => [4,1,2] => 85
[8,4,3,2,7,6,1,5] => 1110110 => [3,1,2,1] => 259
[1,5,8,4,7,6,3,2] => 0010111 => [2,1,1,3] => 262
[3,2,7,4,8,6,1,5] => 1010110 => [1,1,1,1,2,1] => 1023
[7,4,3,2,8,6,1,5] => 1110110 => [3,1,2,1] => 259
[6,8,3,7,5,2,1,4] => 0101110 => [1,1,1,3,1] => 450
[5,7,8,4,3,2,1,6] => 0011110 => [2,4,1] => 85
[6,4,3,8,5,2,1,7] => 1101110 => [2,1,3,1] => 262
[8,2,5,4,7,6,1,3] => 1010110 => [1,1,1,1,2,1] => 1023
[7,2,5,4,8,6,1,3] => 1010110 => [1,1,1,1,2,1] => 1023
[4,5,3,2,8,6,1,7] => 0110110 => [1,2,1,2,1] => 603
[3,2,5,4,8,6,1,7] => 1010110 => [1,1,1,1,2,1] => 1023
[3,2,8,6,5,4,1,7] => 1011110 => [1,1,4,1] => 148
[8,4,3,6,5,2,1,7] => 1101110 => [2,1,3,1] => 262
[8,4,3,7,5,2,1,6] => 1101110 => [2,1,3,1] => 262
[3,2,7,8,5,4,1,6] => 1001110 => [1,2,3,1] => 262
[6,8,7,4,3,2,1,5] => 0111110 => [1,5,1] => 37
[3,6,1,4,8,7,2,5] => 0100110 => [1,1,2,2,1] => 611
[5,8,1,3,7,2,6,4] => 0100101 => [1,1,2,1,1,1] => 984
[4,7,5,1,8,2,6,3] => 0110101 => [1,2,1,1,1,1] => 969
[6,3,2,1,8,7,4,5] => 1110110 => [3,1,2,1] => 259
[6,2,3,1,8,7,4,5] => 1010110 => [1,1,1,1,2,1] => 1023
[3,4,7,1,8,5,6,2] => 0010101 => [2,1,1,1,1,1] => 969
[7,2,5,1,8,3,6,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,2,1,5,8,4,6,3] => 1100101 => [2,2,1,1,1] => 582
[4,2,8,1,7,5,6,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,3,6,4,1,7,5,2] => 1011011 => [1,1,2,1,2] => 611
[7,3,1,5,2,8,6,4] => 1101011 => [2,1,1,1,2] => 603
[7,1,6,4,2,8,5,3] => 1011011 => [1,1,2,1,2] => 611
[3,7,4,1,5,8,6,2] => 0110011 => [1,2,2,2] => 363
[5,8,6,1,2,7,4,3] => 0110011 => [1,2,2,2] => 363
[6,8,1,4,3,7,5,2] => 0101011 => [1,1,1,1,1,2] => 1023
[6,7,1,4,3,8,5,2] => 0101011 => [1,1,1,1,1,2] => 1023
[4,7,1,5,3,8,6,2] => 0101011 => [1,1,1,1,1,2] => 1023
[6,8,1,2,4,7,5,3] => 0100011 => [1,1,3,2] => 265
[7,1,6,4,8,3,5,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,6,4,1,3,7,5,2] => 1110011 => [3,2,2] => 153
[8,5,3,6,1,7,4,2] => 1101011 => [2,1,1,1,2] => 603
[7,2,1,4,5,8,6,3] => 1100011 => [2,3,2] => 153
[8,5,6,1,2,7,4,3] => 1010011 => [1,1,1,2,2] => 622
[8,6,2,5,4,7,3,1] => 1101011 => [2,1,1,1,2] => 603
[8,5,7,3,2,4,6,1] => 1011001 => [1,1,2,2,1] => 611
[8,5,2,1,4,3,6,7] => 1110100 => [3,1,1,2] => 259
[2,8,4,1,3,6,7,5] => 0110001 => [1,2,3,1] => 262
[8,1,2,4,5,6,7,3] => 1000001 => [1,5,1] => 37
[6,1,4,3,2,7,8,5] => 1011001 => [1,1,2,2,1] => 611
[1,8,3,6,7,2,4,5] => 0100100 => [1,1,2,1,2] => 611
[1,2,8,3,7,4,6,5] => 0010101 => [2,1,1,1,1,1] => 969
[1,7,2,3,4,5,6,8,9] => 01000000 => [1,1,6] => 50
[8,2,6,5,4,3,1,7] => 1011110 => [1,1,4,1] => 148
[8,2,7,6,4,5,3,1] => 1011011 => [1,1,2,1,2] => 611
[8,7,3,5,4,2,6,1] => 1101101 => [2,1,2,1,1] => 594
[4,6,7,2,1,8,3,5] => 0011010 => [2,2,1,1,1] => 582
[3,7,1,8,2,5,4,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,5,8,6,1,3,7,2] => 0011001 => [2,2,2,1] => 357
[4,5,8,6,2,7,3,1] => 0011011 => [2,2,1,2] => 357
[4,6,7,1,5,3,8,2] => 0010101 => [2,1,1,1,1,1] => 969
[4,6,7,2,1,8,5,3] => 0011011 => [2,2,1,2] => 357
[4,2,5,6,7,8,3,1] => 1000011 => [1,4,2] => 85
[4,1,3,5,6,7,8,2] => 1000001 => [1,5,1] => 37
[3,7,8,4,5,1,6,2] => 0010101 => [2,1,1,1,1,1] => 969
[4,6,8,3,2,7,1,5] => 0011010 => [2,2,1,1,1] => 582
[4,6,8,2,3,7,1,5] => 0010010 => [2,1,2,1,1] => 594
[3,8,1,7,4,5,2,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,5,8,3,7,1,2,6] => 0010100 => [2,1,1,1,2] => 603
[3,7,8,4,6,2,5,1] => 0010101 => [2,1,1,1,1,1] => 969
[3,6,1,5,7,8,2,4] => 0100010 => [1,1,3,1,1] => 439
[3,8,2,5,4,7,1,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,8,6,2,5,1,7,4] => 0110101 => [1,2,1,1,1,1] => 969
[4,5,8,6,2,1,7,3] => 0011101 => [2,3,1,1] => 256
[4,5,8,6,1,2,7,3] => 0011001 => [2,2,2,1] => 357
[4,6,8,5,2,7,1,3] => 0011010 => [2,2,1,1,1] => 582
[3,7,8,5,2,6,1,4] => 0011010 => [2,2,1,1,1] => 582
[3,7,8,5,4,1,6,2] => 0011101 => [2,3,1,1] => 256
[4,6,8,5,3,1,7,2] => 0011101 => [2,3,1,1] => 256
[7,8,2,3,5,4,1,6] => 0100110 => [1,1,2,2,1] => 611
[5,1,3,7,6,4,8,2] => 1001101 => [1,2,2,1,1] => 594
[4,6,5,2,7,8,1,3] => 0110010 => [1,2,2,1,1] => 594
[1,6,5,2,3,4,8,7] => 0110001 => [1,2,3,1] => 262
[4,6,5,1,7,3,8,2] => 0110101 => [1,2,1,1,1,1] => 969
[5,7,3,1,2,4,8,6] => 0110001 => [1,2,3,1] => 262
[6,3,2,5,1,7,4,8] => 1101010 => [2,1,1,1,1,1] => 969
[6,1,2,4,8,5,3,7] => 1000110 => [1,3,2,1] => 259
[6,3,1,7,2,5,8,4] => 1101001 => [2,1,1,2,1] => 603
[3,7,2,8,5,1,4,6] => 0101100 => [1,1,1,2,2] => 622
[3,6,5,2,4,7,1,8] => 0110010 => [1,2,2,1,1] => 594
[3,6,5,8,1,7,2,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,2,3,4,5,6,8,7,9] => 00000010 => [6,1,1] => 50
[1,2,3,4,5,7,6,8,9] => 00000100 => [5,1,2] => 138
[9,2,3,4,5,6,7,1,8] => 10000010 => [1,5,1,1] => 240
[5,2,7,3,4,6,1,8] => 1010010 => [1,1,1,2,1,1] => 1006
[1,3,5,8,6,4,7,2] => 0001101 => [3,2,1,1] => 256
[1,3,5,8,6,7,2,4] => 0001010 => [3,1,1,1,1] => 427
[6,1,7,4,8,5,3,2] => 1010111 => [1,1,1,1,3] => 450
[5,7,4,1,3,6,8,2] => 0110001 => [1,2,3,1] => 262
[7,4,3,1,6,5,8,2] => 1110101 => [3,1,1,1,1] => 427
[7,8,1,4,6,5,3,2] => 0100111 => [1,1,2,3] => 265
[7,8,6,1,4,5,3,2] => 0110011 => [1,2,2,2] => 363
[6,2,7,3,8,5,4,1] => 1010111 => [1,1,1,1,3] => 450
[1,2,7,5,3,4,8,6] => 0011001 => [2,2,2,1] => 357
[7,2,8,3,6,4,5,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,2,7,8,3,1,4,5] => 1001100 => [1,2,2,2] => 363
[1,7,8,2,5,3,4,6] => 0010100 => [2,1,1,1,2] => 603
[3,7,8,1,2,5,6,4] => 0010001 => [2,1,3,1] => 262
[1,2,8,7,3,4,6,5] => 0011001 => [2,2,2,1] => 357
[8,2,7,4,5,1,6,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[3,8,1,5,7,2,6,4] => 0100101 => [1,1,2,1,1,1] => 984
[7,5,4,8,6,1,2,3] => 1101100 => [2,1,2,2] => 363
[7,1,8,6,4,5,2,3] => 1011010 => [1,1,2,1,1,1] => 984
[8,7,5,1,4,3,6,2] => 1110101 => [3,1,1,1,1] => 427
[1,5,7,8,3,4,2,6] => 0001010 => [3,1,1,1,1] => 427
[6,8,4,3,1,7,2,5] => 0111010 => [1,3,1,1,1] => 427
[8,4,1,3,7,5,6,2] => 1100101 => [2,2,1,1,1] => 582
[4,8,1,3,7,5,6,2] => 0100101 => [1,1,2,1,1,1] => 984
[1,8,5,7,4,2,3,6] => 0101100 => [1,1,1,2,2] => 622
[2,1,6,8,5,3,4,7] => 1001100 => [1,2,2,2] => 363
[4,5,1,3,8,6,7,2] => 0100101 => [1,1,2,1,1,1] => 984
[1,2,6,8,5,3,4,7] => 0001100 => [3,2,2] => 153
[5,6,8,7,3,1,2,4] => 0011100 => [2,3,2] => 153
[6,7,5,3,8,1,2,4] => 0110100 => [1,2,1,1,2] => 603
[6,8,5,7,3,1,2,4] => 0101100 => [1,1,1,2,2] => 622
[5,7,8,6,3,1,2,4] => 0011100 => [2,3,2] => 153
[5,1,4,2,6,8,7,3] => 1010011 => [1,1,1,2,2] => 622
[6,3,2,4,7,1,8,5] => 1100101 => [2,2,1,1,1] => 582
[1,5,6,8,4,2,3,7] => 0001100 => [3,2,2] => 153
[5,7,8,3,6,1,2,4] => 0010100 => [2,1,1,1,2] => 603
[1,5,8,6,2,4,3,7] => 0011010 => [2,2,1,1,1] => 582
[1,5,3,7,2,6,8,4] => 0101001 => [1,1,1,1,2,1] => 1023
[5,1,8,6,2,4,3,7] => 1011010 => [1,1,2,1,1,1] => 984
[5,8,6,3,7,1,2,4] => 0110100 => [1,2,1,1,2] => 603
[1,5,2,4,8,6,7,3] => 0100101 => [1,1,2,1,1,1] => 984
[1,5,4,2,6,8,7,3] => 0110011 => [1,2,2,2] => 363
[5,7,6,3,8,1,2,4] => 0110100 => [1,2,1,1,2] => 603
[5,7,6,8,3,1,2,4] => 0101100 => [1,1,1,2,2] => 622
[6,8,7,5,3,1,2,4] => 0111100 => [1,4,2] => 85
[1,2,5,3,6,8,7,4] => 0010011 => [2,1,2,2] => 363
[6,8,7,2,1,5,3,4] => 0111010 => [1,3,1,1,1] => 427
[7,3,6,1,4,8,2,5] => 1010010 => [1,1,1,2,1,1] => 1006
[7,8,1,6,5,3,4,2] => 0101101 => [1,1,1,2,1,1] => 1006
[8,7,3,2,1,4,6,5] => 1111001 => [4,2,1] => 85
[8,3,5,1,7,4,2,6] => 1010110 => [1,1,1,1,2,1] => 1023
[3,5,6,8,4,2,7,1] => 0001101 => [3,2,1,1] => 256
[5,8,2,6,4,3,7,1] => 0101101 => [1,1,1,2,1,1] => 1006
[2,8,6,3,4,1,7,5] => 0110101 => [1,2,1,1,1,1] => 969
[1,7,2,3,5,8,6,4] => 0100011 => [1,1,3,2] => 265
[4,6,2,3,5,1,7,8] => 0100100 => [1,1,2,1,2] => 611
[2,8,3,7,5,1,6,4] => 0101101 => [1,1,1,2,1,1] => 1006
[6,4,8,7,2,1,5,3] => 1011101 => [1,1,3,1,1] => 439
[1,8,2,3,7,5,6,4] => 0100101 => [1,1,2,1,1,1] => 984
[2,8,4,3,6,7,1,5] => 0110010 => [1,2,2,1,1] => 594
[7,3,2,5,6,1,8,4] => 1100101 => [2,2,1,1,1] => 582
[1,6,7,8,2,4,3,5] => 0001010 => [3,1,1,1,1] => 427
[4,1,2,8,5,3,7,6] => 1001101 => [1,2,2,1,1] => 594
[3,8,4,2,5,1,7,6] => 0110101 => [1,2,1,1,1,1] => 969
[1,8,5,6,4,3,2,7] => 0101110 => [1,1,1,3,1] => 450
[2,8,3,5,6,4,1,7] => 0100110 => [1,1,2,2,1] => 611
[4,1,5,7,6,8,2,3] => 1001010 => [1,2,1,1,1,1] => 969
[7,6,8,3,2,5,1,4] => 1011010 => [1,1,2,1,1,1] => 984
[2,7,8,1,6,4,5,3] => 0010101 => [2,1,1,1,1,1] => 969
[2,7,1,4,5,3,8,6] => 0100101 => [1,1,2,1,1,1] => 984
[1,5,2,7,4,3,6,8] => 0101100 => [1,1,1,2,2] => 622
[5,1,3,8,4,6,2,7] => 1001010 => [1,2,1,1,1,1] => 969
[6,5,8,7,1,3,2,4] => 1011010 => [1,1,2,1,1,1] => 984
[2,7,3,5,1,6,8,4] => 0101001 => [1,1,1,1,2,1] => 1023
[5,7,6,8,2,1,4,3] => 0101101 => [1,1,1,2,1,1] => 1006
[1,3,6,5,2,7,4,8] => 0011010 => [2,2,1,1,1] => 582
[1,2,6,5,3,4,7,8] => 0011000 => [2,2,3] => 153
[1,7,2,5,6,8,3,4] => 0100010 => [1,1,3,1,1] => 439
[1,7,2,4,8,3,5,6] => 0100100 => [1,1,2,1,2] => 611
[1,6,2,4,5,3,7,8] => 0100100 => [1,1,2,1,2] => 611
[1,3,2,8,4,5,7,6] => 0101001 => [1,1,1,1,2,1] => 1023
[1,6,8,2,4,3,5,7] => 0010100 => [2,1,1,1,2] => 603
[1,6,7,2,5,3,4,8] => 0010100 => [2,1,1,1,2] => 603
[1,2,8,3,6,7,4,5] => 0010010 => [2,1,2,1,1] => 594
[1,7,2,5,3,4,8,6] => 0101001 => [1,1,1,1,2,1] => 1023
[7,1,5,6,2,3,8,4] => 1001001 => [1,2,1,2,1] => 603
[8,2,1,4,6,7,3,5] => 1100010 => [2,3,1,1] => 256
[7,2,6,1,3,4,8,5] => 1010001 => [1,1,1,3,1] => 450
[4,1,3,7,2,5,8,6] => 1001001 => [1,2,1,2,1] => 603
[6,2,7,5,1,3,8,4] => 1011001 => [1,1,2,2,1] => 611
[1,7,5,6,2,3,8,4] => 0101001 => [1,1,1,1,2,1] => 1023
[3,7,6,1,2,4,8,5] => 0110001 => [1,2,3,1] => 262
[8,6,1,3,5,7,2,4] => 1100010 => [2,3,1,1] => 256
[1,7,4,3,8,2,5,6] => 0110100 => [1,2,1,1,2] => 603
[6,1,5,3,4,8,2,7] => 1010010 => [1,1,1,2,1,1] => 1006
[3,6,7,5,2,8,1,4] => 0011010 => [2,2,1,1,1] => 582
[7,8,4,1,5,6,2,3] => 0110010 => [1,2,2,1,1] => 594
[5,8,1,3,6,7,2,4] => 0100010 => [1,1,3,1,1] => 439
[2,8,4,3,7,1,5,6] => 0110100 => [1,2,1,1,2] => 603
[3,8,4,6,7,1,2,5] => 0100100 => [1,1,2,1,2] => 611
[6,3,8,4,7,1,2,5] => 1010100 => [1,1,1,1,1,2] => 1023
[1,2,5,4,8,3,6,7] => 0010100 => [2,1,1,1,2] => 603
[7,1,3,8,2,4,5,6] => 1001000 => [1,2,1,3] => 262
[8,1,3,7,2,4,5,6] => 1001000 => [1,2,1,3] => 262
[3,5,4,7,8,1,2,6] => 0100100 => [1,1,2,1,2] => 611
[8,3,1,4,7,2,5,6] => 1100100 => [2,2,1,2] => 357
[1,6,4,7,8,2,3,5] => 0100100 => [1,1,2,1,2] => 611
[5,2,3,6,7,8,1,4] => 1000010 => [1,4,1,1] => 145
[6,2,7,3,8,5,1,4] => 1010110 => [1,1,1,1,2,1] => 1023
[1,3,7,8,5,6,2,4] => 0001010 => [3,1,1,1,1] => 427
[8,2,6,7,5,1,3,4] => 1001100 => [1,2,2,2] => 363
[8,1,7,4,6,2,3,5] => 1010100 => [1,1,1,1,1,2] => 1023
[2,5,8,4,7,1,3,6] => 0010100 => [2,1,1,1,2] => 603
[4,5,8,7,1,2,3,6] => 0011000 => [2,2,3] => 153
[4,1,8,5,7,2,3,6] => 1010100 => [1,1,1,1,1,2] => 1023
[1,8,7,4,6,2,3,5] => 0110100 => [1,2,1,1,2] => 603
[2,6,5,4,1,8,3,7] => 0111010 => [1,3,1,1,1] => 427
[6,2,5,1,4,8,3,7] => 1010010 => [1,1,1,2,1,1] => 1006
[6,5,4,1,3,8,2,7] => 1110010 => [3,2,1,1] => 256
[6,3,5,4,2,8,1,7] => 1011010 => [1,1,2,1,1,1] => 984
[1,3,8,7,4,2,6,5] => 0011101 => [2,3,1,1] => 256
[8,7,4,3,1,5,2,6] => 1111010 => [4,1,1,1] => 145
[8,2,5,1,4,6,7,3] => 1010001 => [1,1,1,3,1] => 450
[3,8,4,5,1,6,7,2] => 0101001 => [1,1,1,1,2,1] => 1023
[8,5,4,1,3,6,7,2] => 1110001 => [3,3,1] => 110
[8,3,1,7,5,6,4,2] => 1101011 => [2,1,1,1,2] => 603
[8,4,7,6,5,3,1,2] => 1011110 => [1,1,4,1] => 148
[8,1,4,5,7,6,3,2] => 1000111 => [1,3,3] => 110
[2,4,1,8,5,7,6,3] => 0101011 => [1,1,1,1,1,2] => 1023
[8,2,1,4,7,6,3,5] => 1100110 => [2,2,2,1] => 357
[8,3,1,7,4,2,6,5] => 1101101 => [2,1,2,1,1] => 594
[8,2,7,3,1,6,5,4] => 1011011 => [1,1,2,1,2] => 611
[1,8,4,2,3,7,6,5] => 0110011 => [1,2,2,2] => 363
[3,1,2,8,7,4,6,5] => 1001101 => [1,2,2,1,1] => 594
[8,5,1,2,4,3,7,6] => 1100101 => [2,2,1,1,1] => 582
[2,8,3,7,4,1,6,5] => 0101101 => [1,1,1,2,1,1] => 1006
[8,4,5,7,6,2,3,1] => 1001101 => [1,2,2,1,1] => 594
[2,3,1,8,7,6,4,5] => 0101110 => [1,1,1,3,1] => 450
[4,2,8,7,3,1,5,6] => 1011100 => [1,1,3,2] => 265
[1,3,4,8,7,2,5,6] => 0001100 => [3,2,2] => 153
[8,1,3,4,6,7,2,5] => 1000010 => [1,4,1,1] => 145
[3,4,8,2,6,7,1,5] => 0010010 => [2,1,2,1,1] => 594
[3,6,8,2,5,1,7,4] => 0010101 => [2,1,1,1,1,1] => 969
[3,8,2,5,7,4,6,1] => 0100101 => [1,1,2,1,1,1] => 984
[8,4,2,1,7,5,6,3] => 1110101 => [3,1,1,1,1] => 427
[8,2,7,5,6,4,1,3] => 1010110 => [1,1,1,1,2,1] => 1023
[6,2,8,5,4,1,7,3] => 1011101 => [1,1,3,1,1] => 439
[6,8,5,4,1,7,2,3] => 0111010 => [1,3,1,1,1] => 427
[2,8,1,5,7,6,3,4] => 0100110 => [1,1,2,2,1] => 611
[3,1,8,2,7,5,6,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,5,7,1,6,4,2,3] => 1010110 => [1,1,1,1,2,1] => 1023
[2,8,4,7,3,6,5,1] => 0101011 => [1,1,1,1,1,2] => 1023
[8,4,7,2,1,6,5,3] => 1011011 => [1,1,2,1,2] => 611
[1,8,4,7,6,5,2,3] => 0101110 => [1,1,1,3,1] => 450
[3,5,8,1,7,4,6,2] => 0010101 => [2,1,1,1,1,1] => 969
[8,4,7,1,3,6,5,2] => 1010011 => [1,1,1,2,2] => 622
[8,2,3,4,5,6,9,1,7] => 10000010 => [1,5,1,1] => 240
[8,2,3,9,5,6,7,1,4] => 10010010 => [1,2,1,2,1,1] => 3652
[8,2,9,4,5,6,7,1,3] => 10100010 => [1,1,1,3,1,1] => 2732
[8,9,3,4,5,6,7,1,2] => 01000010 => [1,1,4,1,1] => 912
[4,2,3,1,9,8,7,6,5] => 10101111 => [1,1,1,1,4] => 934
[3,2,1,9,8,6,7,5,4] => 11011011 => [2,1,2,1,2] => 2194
[2,3,4,7,6,8,1,5] => 0001010 => [3,1,1,1,1] => 427
[3,8,1,2,5,6,4,7] => 0100010 => [1,1,3,1,1] => 439
[8,5,2,1,4,6,7,3] => 1110001 => [3,3,1] => 110
[4,8,1,6,5,2,7,3] => 0101101 => [1,1,1,2,1,1] => 1006
[4,2,6,3,8,5,7,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,5,2,6,7,1,8,3] => 0100101 => [1,1,2,1,1,1] => 984
[2,7,4,1,6,3,5,8] => 0110100 => [1,2,1,1,2] => 603
[8,3,5,4,2,7,1,6] => 1011010 => [1,1,2,1,1,1] => 984
[2,8,6,4,7,3,1,5] => 0110110 => [1,2,1,2,1] => 603
[3,1,8,6,5,2,7,4] => 1011101 => [1,1,3,1,1] => 439
[8,3,1,5,2,6,7,4] => 1101001 => [2,1,1,2,1] => 603
[3,8,2,4,1,5,7,6] => 0101001 => [1,1,1,1,2,1] => 1023
[5,8,3,2,4,1,7,6] => 0110101 => [1,2,1,1,1,1] => 969
[6,5,3,2,4,8,1,7] => 1110010 => [3,2,1,1] => 256
[5,2,4,6,1,3,8,7] => 1001001 => [1,2,1,2,1] => 603
[7,2,3,4,6,8,1,5] => 1000010 => [1,4,1,1] => 145
[8,3,4,6,7,5,1,2] => 1000110 => [1,3,2,1] => 259
[6,8,3,4,7,5,2,1] => 0100111 => [1,1,2,3] => 265
[5,8,6,1,3,4,7,2] => 0110001 => [1,2,3,1] => 262
[4,8,1,5,7,6,3,2] => 0100111 => [1,1,2,3] => 265
[3,7,4,6,8,2,5,1] => 0100101 => [1,1,2,1,1,1] => 984
[4,7,1,6,8,3,2,5] => 0100110 => [1,1,2,2,1] => 611
[4,5,2,8,1,7,3,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,7,5,2,8,6,1,4] => 0110110 => [1,2,1,2,1] => 603
[4,8,5,2,6,7,1,3] => 0110010 => [1,2,2,1,1] => 594
[5,4,8,6,1,2,7,3] => 1011001 => [1,1,2,2,1] => 611
[8,4,6,5,2,7,3,1] => 1011011 => [1,1,2,1,2] => 611
[8,1,6,4,7,5,2,3] => 1010110 => [1,1,1,1,2,1] => 1023
[5,2,7,6,4,8,1,3] => 1011010 => [1,1,2,1,1,1] => 984
[8,6,2,3,5,1,7,4] => 1100101 => [2,2,1,1,1] => 582
[8,2,5,7,4,1,3,6] => 1001100 => [1,2,2,2] => 363
[7,2,4,5,6,8,1,3] => 1000010 => [1,4,1,1] => 145
[7,1,3,5,6,2,8,4] => 1000101 => [1,3,1,1,1] => 427
[7,1,5,8,4,6,3,2] => 1001011 => [1,2,1,1,2] => 603
[6,3,8,4,7,1,5,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,1,4,3,2,8,5,6] => 1011010 => [1,1,2,1,1,1] => 984
[5,3,6,1,4,2,8,7] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,7,2,1,4,3,8,6] => 0110101 => [1,2,1,1,1,1] => 969
[7,1,8,3,5,2,4,6] => 1010100 => [1,1,1,1,1,2] => 1023
[7,2,4,8,1,5,6,3] => 1001001 => [1,2,1,2,1] => 603
[7,1,8,4,2,5,6,3] => 1011001 => [1,1,2,2,1] => 611
[6,4,2,5,8,1,7,3] => 1100101 => [2,2,1,1,1] => 582
[2,1,7,5,8,3,6,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,3,8,5,6,2,1,4] => 1010110 => [1,1,1,1,2,1] => 1023
[2,7,4,8,1,5,6,3] => 0101001 => [1,1,1,1,2,1] => 1023
[7,4,8,3,1,5,6,2] => 1011001 => [1,1,2,2,1] => 611
[6,1,5,8,3,7,4,2] => 1001011 => [1,2,1,1,2] => 603
[2,6,3,5,8,7,4,1] => 0100111 => [1,1,2,3] => 265
[8,6,5,3,7,2,1,4] => 1110110 => [3,1,2,1] => 259
[4,8,5,3,7,2,1,6] => 0110110 => [1,2,1,2,1] => 603
[7,4,8,6,5,3,2,1] => 1011111 => [1,1,5] => 37
[7,4,8,5,6,3,1,2] => 1010110 => [1,1,1,1,2,1] => 1023
[7,8,4,1,3,5,6,2] => 0110001 => [1,2,3,1] => 262
[7,8,3,4,1,5,6,2] => 0101001 => [1,1,1,1,2,1] => 1023
[7,3,1,8,2,5,6,4] => 1101001 => [2,1,1,2,1] => 603
[7,2,3,8,1,5,6,4] => 1001001 => [1,2,1,2,1] => 603
[6,4,8,7,3,2,1,5] => 1011110 => [1,1,4,1] => 148
[2,7,4,8,6,3,1,5] => 0101110 => [1,1,1,3,1] => 450
[6,4,8,2,3,1,7,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,2,1,8,3,5,6,4] => 1101001 => [2,1,1,2,1] => 603
[5,1,6,3,8,2,4,7] => 1010100 => [1,1,1,1,1,2] => 1023
[3,6,5,1,4,8,7,2] => 0110011 => [1,2,2,2] => 363
[7,3,6,2,8,4,1,5] => 1010110 => [1,1,1,1,2,1] => 1023
[6,5,1,8,4,7,2,3] => 1101010 => [2,1,1,1,1,1] => 969
[7,5,4,8,1,6,2,3] => 1101010 => [2,1,1,1,1,1] => 969
[4,3,5,8,7,1,2,6] => 1001100 => [1,2,2,2] => 363
[3,5,6,8,1,4,2,7] => 0001010 => [3,1,1,1,1] => 427
[4,3,5,8,2,1,6,7] => 1001100 => [1,2,2,2] => 363
[6,4,7,2,3,1,5,8] => 1010100 => [1,1,1,1,1,2] => 1023
[6,8,1,5,4,2,7,3] => 0101101 => [1,1,1,2,1,1] => 1006
[7,8,6,3,1,4,2,5] => 0111010 => [1,3,1,1,1] => 427
[7,8,6,3,5,1,2,4] => 0110100 => [1,2,1,1,2] => 603
[7,2,8,5,4,6,3,1] => 1011011 => [1,1,2,1,2] => 611
[6,1,8,4,7,2,3,5] => 1010100 => [1,1,1,1,1,2] => 1023
[5,6,4,3,7,1,8,2] => 0110101 => [1,2,1,1,1,1] => 969
[6,5,3,7,2,4,8,1] => 1101001 => [2,1,1,2,1] => 603
[5,6,2,8,4,3,7,1] => 0101101 => [1,1,1,2,1,1] => 1006
[4,1,2,6,8,3,7,5] => 1000101 => [1,3,1,1,1] => 427
[7,1,3,6,5,8,4,2] => 1001011 => [1,2,1,1,2] => 603
[5,7,4,3,6,8,2,1] => 0110011 => [1,2,2,2] => 363
[4,6,2,7,8,3,5,1] => 0100101 => [1,1,2,1,1,1] => 984
[5,1,2,4,6,7,8,3] => 1000001 => [1,5,1] => 37
[4,6,3,5,2,8,7,1] => 0101011 => [1,1,1,1,1,2] => 1023
[5,6,3,4,8,2,7,1] => 0100101 => [1,1,2,1,1,1] => 984
[5,2,6,4,1,7,8,3] => 1011001 => [1,1,2,2,1] => 611
[5,8,4,6,3,2,7,1] => 0101101 => [1,1,1,2,1,1] => 1006
[5,4,3,8,6,2,7,1] => 1101101 => [2,1,2,1,1] => 594
[5,7,8,2,4,3,6,1] => 0010101 => [2,1,1,1,1,1] => 969
[5,6,2,4,8,3,7,1] => 0100101 => [1,1,2,1,1,1] => 984
[6,4,7,8,2,3,5,1] => 1001001 => [1,2,1,2,1] => 603
[3,7,5,2,4,8,1,6] => 0110010 => [1,2,2,1,1] => 594
[4,7,5,2,3,8,6,1] => 0110011 => [1,2,2,2] => 363
[6,4,7,3,2,5,8,1] => 1011001 => [1,1,2,2,1] => 611
[5,7,3,2,8,4,6,1] => 0110101 => [1,2,1,1,1,1] => 969
[5,3,7,2,8,4,6,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,3,7,2,5,8,6,1] => 1010011 => [1,1,1,2,2] => 622
[4,7,3,2,5,8,6,1] => 0110011 => [1,2,2,2] => 363
[4,7,3,2,6,8,5,1] => 0110011 => [1,2,2,2] => 363
[7,5,3,2,6,4,8,1] => 1110101 => [3,1,1,1,1] => 427
[8,5,2,6,7,3,4,1] => 1100101 => [2,2,1,1,1] => 582
[8,4,2,6,3,7,5,1] => 1101011 => [2,1,1,1,2] => 603
[7,4,6,2,3,8,5,1] => 1010011 => [1,1,1,2,2] => 622
[7,5,6,2,8,3,4,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,7,6,2,8,3,4,1] => 0110101 => [1,2,1,1,1,1] => 969
[4,7,6,2,3,8,5,1] => 0110011 => [1,2,2,2] => 363
[7,6,3,2,5,8,1,4] => 1110010 => [3,2,1,1] => 256
[7,6,4,2,5,8,3,1] => 1110011 => [3,2,2] => 153
[6,3,8,5,4,7,2,1] => 1011011 => [1,1,2,1,2] => 611
[1,3,2,4,5,6,7,8,9] => 01000000 => [1,1,6] => 50
[1,4,2,3,5,6,7,8,9] => 01000000 => [1,1,6] => 50
[2,4,6,3,8,7,5,1] => 0010111 => [2,1,1,3] => 262
[2,4,6,1,8,7,3,5] => 0010110 => [2,1,1,2,1] => 603
[2,4,3,6,8,7,1,5] => 0100110 => [1,1,2,2,1] => 611
[2,4,6,3,8,7,1,5] => 0010110 => [2,1,1,2,1] => 603
[2,4,6,5,8,7,1,3] => 0010110 => [2,1,1,2,1] => 603
[2,4,6,8,5,7,3,1] => 0001011 => [3,1,1,2] => 259
[2,4,6,8,5,7,1,3] => 0001010 => [3,1,1,1,1] => 427
[2,4,6,8,3,7,1,5] => 0001010 => [3,1,1,1,1] => 427
[2,4,6,8,1,7,3,5] => 0001010 => [3,1,1,1,1] => 427
[2,4,6,5,1,8,7,3] => 0011011 => [2,2,1,2] => 357
[2,4,6,5,8,3,7,1] => 0010101 => [2,1,1,1,1,1] => 969
[2,4,6,5,8,1,7,3] => 0010101 => [2,1,1,1,1,1] => 969
[2,4,6,8,5,1,7,3] => 0001101 => [3,2,1,1] => 256
[2,4,6,8,7,3,5,1] => 0001101 => [3,2,1,1] => 256
[2,4,6,8,7,1,5,3] => 0001101 => [3,2,1,1] => 256
[2,4,6,8,7,1,3,5] => 0001100 => [3,2,2] => 153
[2,4,6,8,5,1,3,7] => 0001100 => [3,2,2] => 153
[2,4,6,5,1,8,3,7] => 0011010 => [2,2,1,1,1] => 582
[2,4,6,5,1,3,8,7] => 0011001 => [2,2,2,1] => 357
[2,4,6,5,3,8,1,7] => 0011010 => [2,2,1,1,1] => 582
[2,4,6,5,8,3,1,7] => 0010110 => [2,1,1,2,1] => 603
[2,4,6,8,5,3,1,7] => 0001110 => [3,3,1] => 110
[2,4,6,8,7,3,1,5] => 0001110 => [3,3,1] => 110
[2,4,6,8,7,5,1,3] => 0001110 => [3,3,1] => 110
[4,8,7,5,2,1,3,6] => 0111100 => [1,4,2] => 85
[6,1,4,7,5,8,2,3] => 1001010 => [1,2,1,1,1,1] => 969
[1,8,6,5,3,2,7,4] => 0111101 => [1,4,1,1] => 145
[1,6,3,5,8,2,4,7] => 0100100 => [1,1,2,1,2] => 611
[4,6,1,7,8,5,3,2] => 0100111 => [1,1,2,3] => 265
[6,1,2,7,8,4,5,3] => 1000101 => [1,3,1,1,1] => 427
[6,1,3,2,7,8,5,4] => 1010011 => [1,1,1,2,2] => 622
[5,6,3,1,7,4,8,2] => 0110101 => [1,2,1,1,1,1] => 969
[4,8,3,7,1,6,5,2] => 0101011 => [1,1,1,1,1,2] => 1023
[8,7,2,6,5,1,4,3] => 1101101 => [2,1,2,1,1] => 594
[5,8,3,2,1,7,6,4] => 0111011 => [1,3,1,2] => 259
[5,4,3,8,1,7,6,2] => 1101011 => [2,1,1,1,2] => 603
[6,5,3,8,7,1,4,2] => 1101101 => [2,1,2,1,1] => 594
[4,3,8,2,7,6,5,1] => 1010111 => [1,1,1,1,3] => 450
[4,8,2,7,6,5,3,1] => 0101111 => [1,1,1,4] => 148
[7,8,2,6,5,4,1,3] => 0101110 => [1,1,1,3,1] => 450
[3,8,7,6,2,5,1,4] => 0111010 => [1,3,1,1,1] => 427
[4,8,3,7,2,1,6,5] => 0101101 => [1,1,1,2,1,1] => 1006
[8,6,3,1,7,5,4,2] => 1110111 => [3,1,3] => 110
[8,6,3,7,1,5,4,2] => 1101011 => [2,1,1,1,2] => 603
[4,8,3,7,6,2,5,1] => 0101101 => [1,1,1,2,1,1] => 1006
[5,8,2,7,6,4,1,3] => 0101110 => [1,1,1,3,1] => 450
[8,4,2,1,7,6,5,3] => 1110111 => [3,1,3] => 110
[1,6,4,2,5,3,7,8] => 0110100 => [1,2,1,1,2] => 603
[1,8,6,2,7,3,4,5] => 0110100 => [1,2,1,1,2] => 603
[1,6,3,2,4,5,7,8] => 0110000 => [1,2,4] => 85
[1,5,2,6,4,3,7,8] => 0101100 => [1,1,1,2,2] => 622
[1,5,2,4,6,3,7,8] => 0100100 => [1,1,2,1,2] => 611
[1,8,6,2,3,7,4,5] => 0110010 => [1,2,2,1,1] => 594
[1,5,2,8,6,3,4,7] => 0101100 => [1,1,1,2,2] => 622
[1,3,6,8,2,7,4,5] => 0001010 => [3,1,1,1,1] => 427
[1,4,3,8,2,5,6,7] => 0101000 => [1,1,1,1,3] => 450
[1,7,2,3,8,5,4,6] => 0100110 => [1,1,2,2,1] => 611
[1,3,8,4,2,5,6,7] => 0011000 => [2,2,3] => 153
[1,6,2,8,5,4,3,7] => 0101110 => [1,1,1,3,1] => 450
[1,7,2,3,8,6,4,5] => 0100110 => [1,1,2,2,1] => 611
[1,5,3,8,2,7,4,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,4,8,2,5,6,3,7] => 0010010 => [2,1,2,1,1] => 594
[1,5,7,3,2,8,4,6] => 0011010 => [2,2,1,1,1] => 582
[1,2,7,3,6,8,4,5] => 0010010 => [2,1,2,1,1] => 594
[1,7,2,3,6,8,4,5] => 0100010 => [1,1,3,1,1] => 439
[1,4,8,3,2,5,6,7] => 0011000 => [2,2,3] => 153
[1,7,2,5,8,3,4,6] => 0100100 => [1,1,2,1,2] => 611
[8,2,3,4,5,6,7,9,1] => 10000001 => [1,6,1] => 50
[7,2,3,4,5,6,9,8,1] => 10000011 => [1,5,2] => 138
[6,2,3,4,5,9,7,8,1] => 10000101 => [1,4,1,1,1] => 888
[5,2,3,4,9,6,7,8,1] => 10001001 => [1,3,1,2,1] => 1576
[4,2,3,9,5,6,7,8,1] => 10010001 => [1,2,1,3,1] => 1612
[3,2,9,4,5,6,7,8,1] => 10100001 => [1,1,1,4,1] => 934
[2,9,3,4,5,6,7,8,1] => 01000001 => [1,1,5,1] => 244
[6,2,3,4,5,1,8,9,7] => 10001001 => [1,3,1,2,1] => 1576
[5,2,3,4,1,7,9,8,6] => 10010011 => [1,2,1,2,2] => 2226
[6,2,3,5,8,1,7,4] => 1000101 => [1,3,1,1,1] => 427
[4,2,3,1,6,9,7,8,5] => 10100101 => [1,1,1,2,1,1,1] => 6148
[5,2,4,8,1,6,7,3] => 1001001 => [1,2,1,2,1] => 603
[3,2,1,5,9,6,7,8,4] => 11001001 => [2,2,1,2,1] => 2162
[2,1,4,9,5,6,7,8,3] => 10010001 => [1,2,1,3,1] => 1612
[1,3,9,4,5,6,7,8,2] => 00100001 => [2,1,4,1] => 534
[2,3,5,6,4,7,8,1,9] => 00010010 => [3,1,2,1,1] => 1560
[1,3,4,6,7,5,8,9,2] => 00001001 => [4,1,2,1] => 526
[2,3,6,5,7,4,8,1,9] => 00101010 => [2,1,1,1,1,1,1] => 5976
[2,3,5,6,7,1,8,4,9] => 00001010 => [4,1,1,1,1] => 888
[2,6,4,5,7,3,1,8] => 0100110 => [1,1,2,2,1] => 611
[2,5,6,3,4,7,1,8] => 0010010 => [2,1,2,1,1] => 594
[1,3,7,5,6,8,4,2] => 0010011 => [2,1,2,2] => 363
[1,3,6,7,4,5,8,2] => 0001001 => [3,1,2,1] => 259
[1,3,4,7,6,8,5,9,2] => 00010101 => [3,1,1,1,1,1] => 2592
[1,3,4,6,7,8,2,9,5] => 00000101 => [5,1,1,1] => 240
[1,5,6,3,4,2,7,8] => 0010100 => [2,1,1,1,2] => 603
[1,5,6,3,4,7,2,8] => 0010010 => [2,1,2,1,1] => 594
[1,5,3,6,4,2,7,8] => 0101100 => [1,1,1,2,2] => 622
[1,7,5,6,8,3,4,2] => 0100101 => [1,1,2,1,1,1] => 984
[1,7,5,6,3,8,4,2] => 0101011 => [1,1,1,1,1,2] => 1023
[1,3,7,5,2,8,6,4] => 0011011 => [2,2,1,2] => 357
[1,3,7,2,5,8,6,4] => 0010011 => [2,1,2,2] => 363
[1,5,3,7,4,6,2,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,5,3,7,6,4,2,8] => 0101110 => [1,1,1,3,1] => 450
[1,5,3,6,7,4,2,8] => 0100110 => [1,1,2,2,1] => 611
[1,5,6,3,7,4,2,8] => 0010110 => [2,1,1,2,1] => 603
[1,5,7,6,3,4,8,2] => 0011001 => [2,2,2,1] => 357
[1,5,7,3,6,4,8,2] => 0010101 => [2,1,1,1,1,1] => 969
[1,3,7,2,5,6,8,4] => 0010001 => [2,1,3,1] => 262
[1,3,7,5,6,2,8,4] => 0010101 => [2,1,1,1,1,1] => 969
[2,5,7,4,1,3,8,6] => 0011001 => [2,2,2,1] => 357
[6,7,3,1,8,5,2,4] => 0110110 => [1,2,1,2,1] => 603
[6,3,1,5,8,7,2,4] => 1100110 => [2,2,2,1] => 357
[8,3,5,1,7,6,2,4] => 1010110 => [1,1,1,1,2,1] => 1023
[4,6,3,5,8,2,1,7] => 0100110 => [1,1,2,2,1] => 611
[2,3,6,4,1,8,7,5] => 0011011 => [2,2,1,2] => 357
[7,4,5,2,1,8,6,3] => 1011011 => [1,1,2,1,2] => 611
[4,7,5,2,1,8,6,3] => 0111011 => [1,3,1,2] => 259
[8,5,3,6,2,1,7,4] => 1101101 => [2,1,2,1,1] => 594
[4,5,7,3,1,2,8,6] => 0011001 => [2,2,2,1] => 357
[4,5,1,8,3,2,7,6] => 0101101 => [1,1,1,2,1,1] => 1006
[5,7,4,6,3,2,1,8] => 0101110 => [1,1,1,3,1] => 450
[3,6,1,2,4,8,7,5] => 0100011 => [1,1,3,2] => 265
[2,5,3,8,4,1,7,6] => 0101101 => [1,1,1,2,1,1] => 1006
[8,6,2,3,1,7,5,4] => 1101011 => [2,1,1,1,2] => 603
[7,5,2,3,1,8,6,4] => 1101011 => [2,1,1,1,2] => 603
[6,3,1,2,4,8,7,5] => 1100011 => [2,3,2] => 153
[4,7,5,2,3,6,1,8] => 0110010 => [1,2,2,1,1] => 594
[3,6,8,4,5,1,2,7] => 0010100 => [2,1,1,1,2] => 603
[5,2,3,7,6,4,1,8] => 1001110 => [1,2,3,1] => 262
[6,2,7,3,5,4,1,8] => 1010110 => [1,1,1,1,2,1] => 1023
[7,2,6,5,3,4,1,8] => 1011010 => [1,1,2,1,1,1] => 984
[8,2,6,5,4,1,3,7] => 1011100 => [1,1,3,2] => 265
[6,2,8,4,5,1,3,7] => 1010100 => [1,1,1,1,1,2] => 1023
[2,3,1,7,8,5,6,4] => 0100101 => [1,1,2,1,1,1] => 984
[7,2,8,5,1,4,3,6] => 1011010 => [1,1,2,1,1,1] => 984
[8,6,7,1,4,2,3,5] => 1010100 => [1,1,1,1,1,2] => 1023
[6,8,7,1,4,3,2,5] => 0110110 => [1,2,1,2,1] => 603
[6,8,2,5,3,1,4,7] => 0101100 => [1,1,1,2,2] => 622
[3,7,8,5,1,4,2,6] => 0011010 => [2,2,1,1,1] => 582
[4,8,7,3,1,2,5,6] => 0111000 => [1,3,3] => 110
[4,8,6,2,3,1,5,7] => 0110100 => [1,2,1,1,2] => 603
[3,8,5,4,2,1,6,7] => 0111100 => [1,4,2] => 85
[4,5,3,8,2,1,6,7] => 0101100 => [1,1,1,2,2] => 622
[3,7,4,1,8,2,6,5] => 0110101 => [1,2,1,1,1,1] => 969
[3,8,4,1,7,6,2,5] => 0110110 => [1,2,1,2,1] => 603
[3,7,2,1,8,4,6,5] => 0110101 => [1,2,1,1,1,1] => 969
[8,7,1,6,5,2,3,4] => 1101100 => [2,1,2,2] => 363
[8,5,1,2,7,6,3,4] => 1100110 => [2,2,2,1] => 357
[3,8,2,1,7,6,4,5] => 0110110 => [1,2,1,2,1] => 603
[3,5,7,8,2,4,6,1] => 0001001 => [3,1,2,1] => 259
[7,8,2,5,4,3,6,1] => 0101101 => [1,1,1,2,1,1] => 1006
[4,5,3,7,8,2,6,1] => 0100101 => [1,1,2,1,1,1] => 984
[1,5,4,7,3,6,2,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,7,3,6,8,4,5,2] => 0100101 => [1,1,2,1,1,1] => 984
[4,6,8,2,7,3,5,1] => 0010101 => [2,1,1,1,1,1] => 969
[4,7,6,3,5,1,8,2] => 0110101 => [1,2,1,1,1,1] => 969
[7,8,3,6,1,5,4,2] => 0101011 => [1,1,1,1,1,2] => 1023
[2,5,7,8,4,6,1,3] => 0001010 => [3,1,1,1,1] => 427
[3,7,5,6,2,1,4,8] => 0101100 => [1,1,1,2,2] => 622
[6,2,1,7,4,5,3,8] => 1101010 => [2,1,1,1,1,1] => 969
[1,2,6,4,7,5,3,8] => 0010110 => [2,1,1,2,1] => 603
[7,5,6,3,8,4,2,1] => 1010111 => [1,1,1,1,3] => 450
[8,5,4,2,1,6,7,3] => 1111001 => [4,2,1] => 85
[2,6,8,4,7,5,1,3] => 0010110 => [2,1,1,2,1] => 603
[6,7,5,1,4,8,3,2] => 0110011 => [1,2,2,2] => 363
[7,4,1,6,5,3,8,2] => 1101101 => [2,1,2,1,1] => 594
[5,8,2,7,3,6,4,1] => 0101011 => [1,1,1,1,1,2] => 1023
[1,6,5,7,3,8,4,2] => 0101011 => [1,1,1,1,1,2] => 1023
[1,5,6,8,4,2,7,3] => 0001101 => [3,2,1,1] => 256
[7,5,4,1,8,2,6,3] => 1110101 => [3,1,1,1,1] => 427
[6,4,1,8,2,7,5,3] => 1101011 => [2,1,1,1,2] => 603
[7,8,5,3,2,6,1,4] => 0111010 => [1,3,1,1,1] => 427
[8,2,5,1,7,6,4,3] => 1010111 => [1,1,1,1,3] => 450
[6,7,4,3,8,2,5,1] => 0110101 => [1,2,1,1,1,1] => 969
[3,4,2,7,8,6,1,5] => 0100110 => [1,1,2,2,1] => 611
[7,8,6,1,4,3,2,5] => 0110110 => [1,2,1,2,1] => 603
[2,4,7,8,6,1,3,5] => 0001100 => [3,2,2] => 153
[3,7,8,6,5,2,4,1] => 0011101 => [2,3,1,1] => 256
[4,5,2,7,8,6,3,1] => 0100111 => [1,1,2,3] => 265
[4,6,2,5,3,1,7,8] => 0101100 => [1,1,1,2,2] => 622
[4,1,5,6,3,2,7,8] => 1001100 => [1,2,2,2] => 363
[2,6,7,5,4,1,3,8] => 0011100 => [2,3,2] => 153
[4,1,6,7,5,3,2,8] => 1001110 => [1,2,3,1] => 262
[6,7,4,3,1,5,2,8] => 0111010 => [1,3,1,1,1] => 427
[1,7,5,6,4,3,2,8] => 0101110 => [1,1,1,3,1] => 450
[7,6,5,3,1,8,4,2] => 1111011 => [4,1,2] => 85
[7,8,6,4,3,1,5,2] => 0111101 => [1,4,1,1] => 145
[4,1,7,8,6,5,3,2] => 1001111 => [1,2,4] => 85
[4,5,7,3,8,6,1,2] => 0010110 => [2,1,1,2,1] => 603
[6,8,5,3,7,2,1,4] => 0110110 => [1,2,1,2,1] => 603
[4,7,1,5,8,2,6,3] => 0100101 => [1,1,2,1,1,1] => 984
[3,7,6,2,1,8,4,5] => 0111010 => [1,3,1,1,1] => 427
[2,7,5,8,3,6,4,1] => 0101011 => [1,1,1,1,1,2] => 1023
[7,4,8,2,6,5,3,1] => 1010111 => [1,1,1,1,3] => 450
[7,5,4,8,2,6,3,1] => 1101011 => [2,1,1,1,2] => 603
[4,3,8,1,6,5,2,7] => 1010110 => [1,1,1,1,2,1] => 1023
[2,3,6,5,7,8,1,4] => 0010010 => [2,1,2,1,1] => 594
[8,3,4,1,2,6,7,5] => 1010001 => [1,1,1,3,1] => 450
[7,3,4,8,5,2,1,6] => 1001110 => [1,2,3,1] => 262
[7,3,8,4,1,5,6,2] => 1011001 => [1,1,2,2,1] => 611
[7,2,4,5,1,8,3,6] => 1001010 => [1,2,1,1,1,1] => 969
[7,3,1,2,8,5,6,4] => 1100101 => [2,2,1,1,1] => 582
[4,8,2,3,5,7,6,1] => 0100011 => [1,1,3,2] => 265
[4,5,2,3,8,6,7,1] => 0100101 => [1,1,2,1,1,1] => 984
[6,7,4,8,5,3,2,1] => 0101111 => [1,1,1,4] => 148
[4,3,5,6,1,7,8,2] => 1001001 => [1,2,1,2,1] => 603
[3,5,2,6,4,7,8,1] => 0101001 => [1,1,1,1,2,1] => 1023
[4,1,2,8,5,7,6,3] => 1001011 => [1,2,1,1,2] => 603
[3,1,5,6,4,7,8,2] => 1001001 => [1,2,1,2,1] => 603
[3,1,4,6,7,5,8,2] => 1000101 => [1,3,1,1,1] => 427
[2,6,4,5,8,1,3,7] => 0100100 => [1,1,2,1,2] => 611
[6,4,1,3,5,8,2,7] => 1100010 => [2,3,1,1] => 256
[3,4,1,7,2,6,8,5] => 0101001 => [1,1,1,1,2,1] => 1023
[2,4,7,5,8,1,3,6] => 0010100 => [2,1,1,1,2] => 603
[3,7,6,2,1,5,8,4] => 0111001 => [1,3,2,1] => 259
[4,2,6,1,3,7,8,5] => 1010001 => [1,1,1,3,1] => 450
[8,5,4,2,7,6,3,1] => 1110111 => [3,1,3] => 110
[2,8,4,6,7,1,3,5] => 0100100 => [1,1,2,1,2] => 611
[5,8,2,1,4,6,7,3] => 0110001 => [1,2,3,1] => 262
[8,4,6,1,2,5,7,3] => 1010001 => [1,1,1,3,1] => 450
[3,7,8,4,2,6,5,1] => 0011011 => [2,2,1,2] => 357
[5,6,2,8,7,1,3,4] => 0101100 => [1,1,1,2,2] => 622
[7,1,3,8,4,5,6,2] => 1001001 => [1,2,1,2,1] => 603
[7,8,1,4,3,5,6,2] => 0101001 => [1,1,1,1,2,1] => 1023
[3,6,7,2,8,1,5,4] => 0010101 => [2,1,1,1,1,1] => 969
[2,6,7,1,3,5,8,4] => 0010001 => [2,1,3,1] => 262
[3,6,7,1,8,2,5,4] => 0010101 => [2,1,1,1,1,1] => 969
[3,4,1,8,7,2,6,5] => 0101101 => [1,1,1,2,1,1] => 1006
[3,1,5,7,2,8,6,4] => 1001011 => [1,2,1,1,2] => 603
[4,8,1,3,2,7,6,5] => 0101011 => [1,1,1,1,1,2] => 1023
[4,1,8,3,2,7,6,5] => 1011011 => [1,1,2,1,2] => 611
[3,8,2,4,7,1,6,5] => 0100101 => [1,1,2,1,1,1] => 984
[3,2,4,8,7,1,6,5] => 1001101 => [1,2,2,1,1] => 594
[3,2,5,7,1,8,6,4] => 1001011 => [1,2,1,1,2] => 603
[4,2,8,3,1,7,6,5] => 1011011 => [1,1,2,1,2] => 611
[4,8,2,1,3,7,6,5] => 0110011 => [1,2,2,2] => 363
[4,2,8,1,3,7,6,5] => 1010011 => [1,1,1,2,2] => 622
[2,3,4,6,8,7,1,5] => 0000110 => [4,2,1] => 85
[5,6,4,7,1,2,8,3] => 0101001 => [1,1,1,1,2,1] => 1023
[4,6,7,5,8,2,3,1] => 0010101 => [2,1,1,1,1,1] => 969
[4,5,7,1,6,8,3,2] => 0010011 => [2,1,2,2] => 363
[3,2,7,6,8,1,4,5] => 1010100 => [1,1,1,1,1,2] => 1023
[4,5,1,7,6,8,2,3] => 0101010 => [1,1,1,1,1,1,1] => 1623
[6,7,2,8,3,1,4,5] => 0101100 => [1,1,1,2,2] => 622
[7,6,3,1,2,8,4,5] => 1110010 => [3,2,1,1] => 256
[6,2,7,8,4,1,3,5] => 1001100 => [1,2,2,2] => 363
[7,8,5,2,4,1,3,6] => 0110100 => [1,2,1,1,2] => 603
[7,6,2,3,1,8,4,5] => 1101010 => [2,1,1,1,1,1] => 969
[4,2,5,1,3,7,8,6] => 1010001 => [1,1,1,3,1] => 450
[3,5,1,4,2,7,8,6] => 0101001 => [1,1,1,1,2,1] => 1023
[3,4,1,7,8,5,2,6] => 0100110 => [1,1,2,2,1] => 611
[4,1,3,7,8,5,2,6] => 1000110 => [1,3,2,1] => 259
[4,3,1,8,5,2,7,6] => 1101101 => [2,1,2,1,1] => 594
[3,1,8,5,4,2,7,6] => 1011101 => [1,1,3,1,1] => 439
[7,6,3,5,8,4,2,1] => 1100111 => [2,2,3] => 153
[4,5,1,3,2,7,8,6] => 0101001 => [1,1,1,1,2,1] => 1023
[5,1,3,2,4,7,8,6] => 1010001 => [1,1,1,3,1] => 450
[8,3,5,6,1,7,2,4] => 1001010 => [1,2,1,1,1,1] => 969
[4,5,8,1,2,6,7,3] => 0010001 => [2,1,3,1] => 262
[5,3,6,7,8,2,1,4] => 1000110 => [1,3,2,1] => 259
[1,3,4,8,6,2,7,5] => 0001101 => [3,2,1,1] => 256
[7,2,4,1,3,8,5,6] => 1010010 => [1,1,1,2,1,1] => 1006
[3,8,2,5,4,1,6,7] => 0101100 => [1,1,1,2,2] => 622
[8,4,5,2,6,1,7,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,6,8,2,3,7,5,1] => 0010011 => [2,1,2,2] => 363
[4,5,7,2,3,6,1,8] => 0010010 => [2,1,2,1,1] => 594
[2,7,3,4,1,5,6,8] => 0101000 => [1,1,1,1,3] => 450
[6,7,2,3,4,8,1,5] => 0100010 => [1,1,3,1,1] => 439
[3,5,2,4,6,7,8,1] => 0100001 => [1,1,4,1] => 148
[4,2,6,3,5,7,8,1] => 1010001 => [1,1,1,3,1] => 450
[2,3,4,5,6,1,8,7,9] => 00001010 => [4,1,1,1,1] => 888
[2,3,4,5,1,7,6,8,9] => 00010100 => [3,1,1,1,2] => 1576
[2,3,4,1,6,5,7,8,9] => 00101000 => [2,1,1,1,3] => 1612
[2,3,1,5,4,6,7,8,9] => 01010000 => [1,1,1,1,4] => 934
[1,4,8,5,6,2,7,3] => 0010101 => [2,1,1,1,1,1] => 969
[2,4,8,5,6,1,7,3] => 0010101 => [2,1,1,1,1,1] => 969
[6,3,5,8,4,7,1,2] => 1001010 => [1,2,1,1,1,1] => 969
[2,8,7,4,5,1,6,3] => 0110101 => [1,2,1,1,1,1] => 969
[1,3,8,5,2,6,7,4] => 0011001 => [2,2,2,1] => 357
[7,2,8,4,5,1,6,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,2,3,5,1,7,8,4] => 1001001 => [1,2,1,2,1] => 603
[8,6,2,4,1,5,7,3] => 1101001 => [2,1,1,2,1] => 603
[1,6,4,3,2,7,8,5] => 0111001 => [1,3,2,1] => 259
[8,5,3,2,1,6,7,4] => 1111001 => [4,2,1] => 85
[1,7,5,2,3,6,8,4] => 0110001 => [1,2,3,1] => 262
[7,1,5,2,3,6,8,4] => 1010001 => [1,1,1,3,1] => 450
[8,1,2,5,3,6,7,4] => 1001001 => [1,2,1,2,1] => 603
[8,4,1,6,3,7,2,5] => 1101010 => [2,1,1,1,1,1] => 969
[6,7,5,3,8,2,1,4] => 0110110 => [1,2,1,2,1] => 603
[5,2,6,8,3,7,1,4] => 1001010 => [1,2,1,1,1,1] => 969
[4,2,5,8,6,7,1,3] => 1001010 => [1,2,1,1,1,1] => 969
[5,8,6,3,4,1,7,2] => 0110101 => [1,2,1,1,1,1] => 969
[3,7,2,4,1,8,6,5] => 0101011 => [1,1,1,1,1,2] => 1023
[2,4,7,8,5,1,3,6] => 0001100 => [3,2,2] => 153
[2,5,3,8,4,1,6,7] => 0101100 => [1,1,1,2,2] => 622
[5,7,6,8,1,3,4,2] => 0101001 => [1,1,1,1,2,1] => 1023
[3,1,7,4,5,6,2,8] => 1010010 => [1,1,1,2,1,1] => 1006
[2,4,8,3,5,7,1,6] => 0010010 => [2,1,2,1,1] => 594
[8,1,7,2,4,3,5,6] => 1010100 => [1,1,1,1,1,2] => 1023
[1,3,8,2,4,7,5,6] => 0010010 => [2,1,2,1,1] => 594
[1,3,7,2,4,6,5,8] => 0010010 => [2,1,2,1,1] => 594
[1,7,3,2,4,6,5,8] => 0110010 => [1,2,2,1,1] => 594
[1,8,3,7,4,2,5,6] => 0101100 => [1,1,1,2,2] => 622
[8,7,3,1,4,2,5,6] => 1110100 => [3,1,1,2] => 259
[2,8,4,3,5,7,1,6] => 0110010 => [1,2,2,1,1] => 594
[3,2,8,7,4,1,5,6] => 1011100 => [1,1,3,2] => 265
[3,2,1,7,4,6,5,8] => 1101010 => [2,1,1,1,1,1] => 969
[3,2,6,5,1,7,8,4] => 1011001 => [1,1,2,2,1] => 611
[5,3,2,6,7,1,8,4] => 1100101 => [2,2,1,1,1] => 582
[3,2,8,6,7,4,1,5] => 1010110 => [1,1,1,1,2,1] => 1023
[8,4,6,2,7,3,1,5] => 1010110 => [1,1,1,1,2,1] => 1023
[4,3,8,6,7,2,1,5] => 1010110 => [1,1,1,1,2,1] => 1023
[4,3,6,2,8,7,1,5] => 1010110 => [1,1,1,1,2,1] => 1023
[3,8,4,7,6,5,1,2] => 0101110 => [1,1,1,3,1] => 450
[7,8,4,2,6,3,5,1] => 0110101 => [1,2,1,1,1,1] => 969
[3,2,7,8,6,4,5,1] => 1001101 => [1,2,2,1,1] => 594
[3,2,7,5,6,8,4,1] => 1010011 => [1,1,1,2,2] => 622
[5,7,8,6,3,2,4,1] => 0011101 => [2,3,1,1] => 256
[6,5,4,2,1,7,8,3] => 1111001 => [4,2,1] => 85
[5,4,2,1,7,6,3,8] => 1110110 => [3,1,2,1] => 259
[4,1,6,5,2,7,8,3] => 1011001 => [1,1,2,2,1] => 611
[5,4,1,6,7,2,8,3] => 1100101 => [2,2,1,1,1] => 582
[6,8,5,3,1,7,2,4] => 0111010 => [1,3,1,1,1] => 427
[5,2,6,3,8,7,1,4] => 1010110 => [1,1,1,1,2,1] => 1023
[8,6,1,7,3,4,2,5] => 1101010 => [2,1,1,1,1,1] => 969
[1,8,3,6,7,4,2,5] => 0100110 => [1,1,2,2,1] => 611
[1,6,3,5,2,7,8,4] => 0101001 => [1,1,1,1,2,1] => 1023
[1,5,7,3,2,6,4,8] => 0011010 => [2,2,1,1,1] => 582
[5,1,3,7,2,6,4,8] => 1001010 => [1,2,1,1,1,1] => 969
[8,1,6,7,2,4,3,5] => 1001010 => [1,2,1,1,1,1] => 969
[6,1,4,8,2,7,3,5] => 1001010 => [1,2,1,1,1,1] => 969
[6,2,4,8,3,7,1,5] => 1001010 => [1,2,1,1,1,1] => 969
[8,7,2,6,3,5,1,4] => 1101010 => [2,1,1,1,1,1] => 969
[8,1,7,6,5,2,3,4] => 1011100 => [1,1,3,2] => 265
[7,1,5,6,8,2,4,3] => 1000101 => [1,3,1,1,1] => 427
[6,7,1,5,2,4,8,3] => 0101001 => [1,1,1,1,2,1] => 1023
[7,6,1,5,2,4,3,8] => 1101010 => [2,1,1,1,1,1] => 969
[7,1,6,3,5,4,2,8] => 1010110 => [1,1,1,1,2,1] => 1023
[1,6,7,3,5,4,8,2] => 0010101 => [2,1,1,1,1,1] => 969
[1,7,3,5,6,8,4,2] => 0100011 => [1,1,3,2] => 265
[1,7,8,3,6,4,5,2] => 0010101 => [2,1,1,1,1,1] => 969
[1,8,7,6,4,5,2,3] => 0111010 => [1,3,1,1,1] => 427
[8,2,7,4,6,5,1,3] => 1010110 => [1,1,1,1,2,1] => 1023
[2,8,5,7,6,4,1,3] => 0101110 => [1,1,1,3,1] => 450
[7,4,5,1,6,8,3,2] => 1010011 => [1,1,1,2,2] => 622
[4,1,7,5,6,8,3,2] => 1010011 => [1,1,1,2,2] => 622
[5,6,7,4,3,1,8,2] => 0011101 => [2,3,1,1] => 256
[6,7,8,5,3,1,4,2] => 0011101 => [2,3,1,1] => 256
[1,4,6,2,5,3,7,8] => 0010100 => [2,1,1,1,2] => 603
[1,6,3,2,5,4,7,8] => 0110100 => [1,2,1,1,2] => 603
[1,6,8,2,5,4,7,3] => 0010101 => [2,1,1,1,1,1] => 969
[1,5,4,2,6,3,7,8] => 0110100 => [1,2,1,1,2] => 603
[1,2,6,4,3,5,7,8] => 0011000 => [2,2,3] => 153
[1,6,8,2,7,5,4,3] => 0010111 => [2,1,1,3] => 262
[1,7,4,3,2,6,8,5] => 0111001 => [1,3,2,1] => 259
[1,5,4,7,2,6,8,3] => 0101001 => [1,1,1,1,2,1] => 1023
[1,3,7,6,2,8,5,4] => 0011011 => [2,2,1,2] => 357
[1,7,6,2,8,4,3,5] => 0110110 => [1,2,1,2,1] => 603
[1,5,2,8,4,3,7,6] => 0101101 => [1,1,1,2,1,1] => 1006
[1,2,8,4,3,6,5,7] => 0011010 => [2,2,1,1,1] => 582
[1,2,8,5,6,3,4,7] => 0010100 => [2,1,1,1,2] => 603
[1,7,3,5,2,8,6,4] => 0101011 => [1,1,1,1,1,2] => 1023
[1,6,7,2,5,8,4,3] => 0010011 => [2,1,2,2] => 363
[1,5,8,3,2,7,4,6] => 0011010 => [2,2,1,1,1] => 582
[1,4,5,8,2,6,3,7] => 0001010 => [3,1,1,1,1] => 427
[1,7,6,4,8,2,5,3] => 0110101 => [1,2,1,1,1,1] => 969
[1,4,8,6,5,2,7,3] => 0011101 => [2,3,1,1] => 256
[1,3,8,2,6,5,4,7] => 0010110 => [2,1,1,2,1] => 603
[1,7,6,3,8,2,4,5] => 0110100 => [1,2,1,1,2] => 603
[1,5,2,7,6,4,8,3] => 0101101 => [1,1,1,2,1,1] => 1006
[1,2,4,3,8,7,5,6] => 0010110 => [2,1,1,2,1] => 603
[1,4,3,8,7,2,5,6] => 0101100 => [1,1,1,2,2] => 622
[1,3,8,6,2,4,5,7] => 0011000 => [2,2,3] => 153
[1,3,8,5,4,2,6,7] => 0011100 => [2,3,2] => 153
[1,7,2,4,8,6,5,3] => 0100111 => [1,1,2,3] => 265
[1,6,5,3,2,8,7,4] => 0111011 => [1,3,1,2] => 259
[1,3,2,8,7,5,4,6] => 0101110 => [1,1,1,3,1] => 450
[1,2,8,6,5,4,3,7] => 0011110 => [2,4,1] => 85
[8,1,3,4,6,5,2,7] => 1000110 => [1,3,2,1] => 259
[8,3,1,4,6,5,2,7] => 1100110 => [2,2,2,1] => 357
[5,8,3,1,2,6,4,7] => 0110010 => [1,2,2,1,1] => 594
[4,8,1,7,5,2,3,6] => 0101100 => [1,1,1,2,2] => 622
[4,8,1,7,5,2,6,3] => 0101101 => [1,1,1,2,1,1] => 1006
[8,5,1,4,2,6,3,7] => 1101010 => [2,1,1,1,1,1] => 969
[8,4,1,3,5,6,2,7] => 1100010 => [2,3,1,1] => 256
[8,5,3,2,1,6,4,7] => 1111010 => [4,1,1,1] => 145
[8,1,5,4,2,6,3,7] => 1011010 => [1,1,2,1,1,1] => 984
[8,5,2,4,1,6,3,7] => 1101010 => [2,1,1,1,1,1] => 969
[4,8,7,1,5,2,6,3] => 0110101 => [1,2,1,1,1,1] => 969
[4,8,7,1,5,2,3,6] => 0110100 => [1,2,1,1,2] => 603
[7,6,8,4,1,3,2,5] => 1011010 => [1,1,2,1,1,1] => 984
[7,6,8,4,1,3,5,2] => 1011001 => [1,1,2,2,1] => 611
[3,8,7,5,4,1,2,6] => 0111100 => [1,4,2] => 85
[4,8,2,7,5,1,3,6] => 0101100 => [1,1,1,2,2] => 622
[7,6,8,4,1,5,2,3] => 1011010 => [1,1,2,1,1,1] => 984
[8,7,6,1,5,2,3,4] => 1110100 => [3,1,1,2] => 259
[7,1,4,8,6,3,5,2] => 1001101 => [1,2,2,1,1] => 594
[8,1,6,5,3,4,7,2] => 1011001 => [1,1,2,2,1] => 611
[8,6,2,5,3,4,7,1] => 1101001 => [2,1,1,2,1] => 603
[8,6,5,1,3,4,7,2] => 1110001 => [3,3,1] => 110
[8,7,5,1,3,6,2,4] => 1110010 => [3,2,1,1] => 256
[8,7,1,5,3,6,2,4] => 1101010 => [2,1,1,1,1,1] => 969
[8,6,1,3,5,4,7,2] => 1100101 => [2,2,1,1,1] => 582
[7,1,4,8,3,6,5,2] => 1001011 => [1,2,1,1,2] => 603
[7,8,5,2,4,3,6,1] => 0110101 => [1,2,1,1,1,1] => 969
[7,3,8,2,5,4,6,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,4,2,5,3,7,6,1] => 1101011 => [2,1,1,1,2] => 603
[4,8,1,5,3,7,6,2] => 0101011 => [1,1,1,1,1,2] => 1023
[7,4,8,2,6,3,5,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,4,8,2,6,3,1,5] => 1010110 => [1,1,1,1,2,1] => 1023
[8,7,3,1,6,4,2,5] => 1110110 => [3,1,2,1] => 259
[8,7,3,1,6,4,5,2] => 1110101 => [3,1,1,1,1] => 427
[8,7,3,1,4,6,5,2] => 1110011 => [3,2,2] => 153
[8,4,3,2,7,5,6,1] => 1110101 => [3,1,1,1,1] => 427
[6,4,1,7,8,5,3,2] => 1100111 => [2,2,3] => 153
[7,6,3,4,1,8,5,2] => 1101011 => [2,1,1,1,2] => 603
[8,7,3,1,6,2,5,4] => 1110101 => [3,1,1,1,1] => 427
[7,8,6,4,2,5,1,3] => 0111010 => [1,3,1,1,1] => 427
[7,8,2,4,6,5,1,3] => 0100110 => [1,1,2,2,1] => 611
[8,1,7,3,5,6,2,4] => 1010010 => [1,1,1,2,1,1] => 1006
[8,7,5,2,4,6,1,3] => 1110010 => [3,2,1,1] => 256
[8,1,7,5,4,6,2,3] => 1011010 => [1,1,2,1,1,1] => 984
[8,7,3,2,6,1,5,4] => 1110101 => [3,1,1,1,1] => 427
[5,3,1,7,6,4,2,8] => 1101110 => [2,1,3,1] => 262
[1,8,6,4,2,9,7,5,3] => 01110111 => [1,3,1,3] => 676
[8,6,4,2,1,7,5,3,9] => 11110110 => [4,1,2,1] => 526
[8,7,5,3,1,6,4,2,9] => 11110110 => [4,1,2,1] => 526
[7,5,3,2,1,6,4,8] => 1111010 => [4,1,1,1] => 145
[7,6,5,3,1,4,2,8] => 1111010 => [4,1,1,1] => 145
[1,8,6,4,3,2,7,5] => 0111101 => [1,4,1,1] => 145
[1,9,7,5,3,2,8,6,4] => 01111011 => [1,4,1,2] => 526
[1,8,7,6,4,2,5,3] => 0111101 => [1,4,1,1] => 145
[1,9,8,6,4,2,7,5,3] => 01111011 => [1,4,1,2] => 526
[8,4,6,7,5,3,2,1] => 1001111 => [1,2,4] => 85
[1,4,8,6,7,5,3,2] => 0010111 => [2,1,1,3] => 262
[7,6,2,5,8,4,3,1] => 1100111 => [2,2,3] => 153
[1,7,3,6,8,5,4,2] => 0100111 => [1,1,2,3] => 265
[8,6,2,5,7,4,3,1] => 1100111 => [2,2,3] => 153
[7,1,3,6,8,5,4,2] => 1000111 => [1,3,3] => 110
[1,8,3,6,7,5,4,2] => 0100111 => [1,1,2,3] => 265
[8,1,7,6,4,5,3,2] => 1011011 => [1,1,2,1,2] => 611
[7,1,8,6,4,5,3,2] => 1011011 => [1,1,2,1,2] => 611
[1,6,2,7,4,5,3,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,8,2,6,4,3,5,7] => 0101100 => [1,1,1,2,2] => 622
[1,7,2,6,4,3,5,8] => 0101100 => [1,1,1,2,2] => 622
[1,7,2,5,4,6,3,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[6,5,7,2,8,3,4,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,2,7,5,8,1,4,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,7,2,5,8,1,4,3] => 0100101 => [1,1,2,1,1,1] => 984
[6,5,7,3,8,1,4,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,3,7,4,8,2,5,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,3,7,4,8,1,5,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,7,6,4,2,5,3,1] => 1111011 => [4,1,2] => 85
[8,7,4,6,2,3,5,1] => 1101001 => [2,1,1,2,1] => 603
[6,8,4,5,7,3,2,1] => 0100111 => [1,1,2,3] => 265
[6,7,5,1,4,3,8,2] => 0110101 => [1,2,1,1,1,1] => 969
[7,8,5,1,4,3,6,2] => 0110101 => [1,2,1,1,1,1] => 969
[2,7,6,8,3,5,1,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[7,2,1,5,3,8,6,4] => 1101011 => [2,1,1,1,2] => 603
[5,8,2,7,6,1,3,4] => 0101100 => [1,1,1,2,2] => 622
[5,1,8,7,3,4,2,6] => 1011010 => [1,1,2,1,1,1] => 984
[8,2,3,6,7,1,4,5] => 1000100 => [1,3,1,2] => 259
[4,2,3,1,5,8,6,7] => 1010010 => [1,1,1,2,1,1] => 1006
[6,3,5,1,2,4,7,8,9] => 10100000 => [1,1,1,5] => 244
[8,6,5,4,3,2,1,7,9] => 11111100 => [6,2] => 28
[2,4,8,7,5,3,1,6] => 0011110 => [2,4,1] => 85
[2,6,8,7,5,3,4,1] => 0011101 => [2,3,1,1] => 256
[2,6,5,1,4,3,8,7] => 0110101 => [1,2,1,1,1,1] => 969
[6,5,1,2,4,3,8,7] => 1100101 => [2,2,1,1,1] => 582
[4,6,5,3,1,2,8,7] => 0111001 => [1,3,2,1] => 259
[4,8,7,5,3,1,2,6] => 0111100 => [1,4,2] => 85
[4,6,8,7,5,3,1,2] => 0011110 => [2,4,1] => 85
[6,8,7,5,3,1,4,2] => 0111101 => [1,4,1,1] => 145
[8,7,5,6,3,1,4,2] => 1101101 => [2,1,2,1,1] => 594
[8,7,3,4,6,5,1,2] => 1100110 => [2,2,2,1] => 357
[2,1,4,8,7,3,6,5] => 1001101 => [1,2,2,1,1] => 594
[4,8,7,3,1,2,6,5] => 0111001 => [1,3,2,1] => 259
[8,7,3,4,1,2,6,5] => 1101001 => [2,1,1,2,1] => 603
[8,7,3,1,6,5,2,4] => 1110110 => [3,1,2,1] => 259
[8,7,3,2,6,5,1,4] => 1110110 => [3,1,2,1] => 259
[2,8,7,3,4,6,5,1] => 0110011 => [1,2,2,2] => 363
[2,8,7,3,6,5,1,4] => 0110110 => [1,2,1,2,1] => 603
[2,8,7,1,6,5,3,4] => 0110110 => [1,2,1,2,1] => 603
[8,7,1,2,6,5,3,4] => 1100110 => [2,2,2,1] => 357
[8,7,1,2,4,3,6,5] => 1100101 => [2,2,1,1,1] => 582
[2,1,8,7,3,4,6,5] => 1011001 => [1,1,2,2,1] => 611
[8,7,5,1,2,4,3,6] => 1110010 => [3,2,1,1] => 256
[2,8,7,1,4,3,6,5] => 0110101 => [1,2,1,1,1,1] => 969
[2,8,7,3,4,1,6,5] => 0110101 => [1,2,1,1,1,1] => 969
[2,8,7,5,6,3,4,1] => 0110101 => [1,2,1,1,1,1] => 969
[2,4,8,7,3,1,6,5] => 0011101 => [2,3,1,1] => 256
[2,8,7,3,1,4,6,5] => 0111001 => [1,3,2,1] => 259
[2,4,3,1,8,7,5,6] => 0110110 => [1,2,1,2,1] => 603
[4,3,1,2,6,8,7,5] => 1100011 => [2,3,2] => 153
[2,8,7,5,6,3,1,4] => 0110110 => [1,2,1,2,1] => 603
[2,8,7,5,3,1,6,4] => 0111101 => [1,4,1,1] => 145
[2,8,7,5,3,6,4,1] => 0111011 => [1,3,1,2] => 259
[2,8,7,5,6,1,4,3] => 0110101 => [1,2,1,1,1,1] => 969
[2,6,8,7,5,1,4,3] => 0011101 => [2,3,1,1] => 256
[6,8,7,5,1,2,4,3] => 0111001 => [1,3,2,1] => 259
[8,7,5,6,1,2,4,3] => 1101001 => [2,1,1,2,1] => 603
[8,7,1,2,4,6,5,3] => 1100011 => [2,3,2] => 153
[2,4,8,7,3,6,5,1] => 0011011 => [2,2,1,2] => 357
[8,7,2,4,3,6,5,1] => 1101011 => [2,1,1,1,2] => 603
[4,8,7,1,2,6,5,3] => 0110011 => [1,2,2,2] => 363
[8,7,5,3,1,2,6,4] => 1111001 => [4,2,1] => 85
[8,7,5,3,6,4,1,2] => 1110110 => [3,1,2,1] => 259
[8,7,1,4,3,6,5,2] => 1101011 => [2,1,1,1,2] => 603
[8,7,3,4,1,6,5,2] => 1101011 => [2,1,1,1,2] => 603
[9,4,3,2,5,6,7,8,1] => 11100001 => [3,4,1] => 220
[8,1,2,3,4,5,7,6,9] => 10000010 => [1,5,1,1] => 240
[7,1,2,3,5,4,6,8] => 1000100 => [1,3,1,2] => 259
[1,9,2,3,4,5,6,8,7] => 01000001 => [1,1,5,1] => 244
[8,1,2,3,4,7,6,5,9] => 10000110 => [1,4,2,1] => 526
[8,1,2,3,4,6,5,7,9] => 10000100 => [1,4,1,2] => 526
[7,1,2,6,4,5,3,8] => 1001010 => [1,2,1,1,1,1] => 969
[7,1,2,4,3,5,6,8] => 1001000 => [1,2,1,3] => 262
[1,9,2,3,4,5,8,7,6] => 01000011 => [1,1,4,2] => 538
[1,9,2,3,4,5,7,6,8] => 01000010 => [1,1,4,1,1] => 912
[4,7,3,6,5,1,2,8] => 0101100 => [1,1,1,2,2] => 622
[7,5,4,2,8,3,1,6] => 1110110 => [3,1,2,1] => 259
[8,3,6,1,5,2,4,7] => 1010100 => [1,1,1,1,1,2] => 1023
[3,1,6,8,5,7,2,4] => 1001010 => [1,2,1,1,1,1] => 969
[5,7,2,1,8,4,6,3] => 0110101 => [1,2,1,1,1,1] => 969
[7,2,8,6,4,3,1,5] => 1011110 => [1,1,4,1] => 148
[6,3,8,7,4,2,1,5] => 1011110 => [1,1,4,1] => 148
[7,6,3,2,8,4,1,5] => 1110110 => [3,1,2,1] => 259
[8,6,1,3,2,4,5,7] => 1101000 => [2,1,1,3] => 262
[5,8,3,7,4,2,1,6] => 0101110 => [1,1,1,3,1] => 450
[4,1,7,3,5,8,6,2] => 1010011 => [1,1,1,2,2] => 622
[8,4,7,3,5,2,1,6] => 1010110 => [1,1,1,1,2,1] => 1023
[5,4,8,1,3,2,6,7] => 1010100 => [1,1,1,1,1,2] => 1023
[4,5,8,2,1,3,6,7] => 0011000 => [2,2,3] => 153
[8,1,3,5,2,4,6,7] => 1001000 => [1,2,1,3] => 262
[1,8,3,5,7,2,4,6] => 0100100 => [1,1,2,1,2] => 611
[1,7,3,8,6,2,4,5] => 0101100 => [1,1,1,2,2] => 622
[8,6,2,1,3,7,5,4] => 1110011 => [3,2,2] => 153
[8,1,4,2,7,6,3,5] => 1010110 => [1,1,1,1,2,1] => 1023
[1,3,4,5,6,7,8,2,9] => 00000010 => [6,1,1] => 50
[2,1,4,5,6,7,9,3,8] => 10000010 => [1,5,1,1] => 240
[2,1,4,5,6,7,8,3,9] => 10000010 => [1,5,1,1] => 240
[1,5,7,3,6,8,2,4] => 0010010 => [2,1,2,1,1] => 594
[8,4,6,2,5,7,1,3] => 1010010 => [1,1,1,2,1,1] => 1006
[1,3,4,7,6,8,2,5] => 0001010 => [3,1,1,1,1] => 427
[8,1,3,6,7,4,2,5] => 1000110 => [1,3,2,1] => 259
[1,2,4,7,8,5,3,6] => 0000110 => [4,2,1] => 85
[3,1,4,7,6,8,2,5] => 1001010 => [1,2,1,1,1,1] => 969
[4,1,3,7,6,8,2,5] => 1001010 => [1,2,1,1,1,1] => 969
[5,1,7,3,6,8,2,4] => 1010010 => [1,1,1,2,1,1] => 1006
[6,7,8,2,4,5,1,3] => 0010010 => [2,1,2,1,1] => 594
[5,8,6,2,4,7,1,3] => 0110010 => [1,2,2,1,1] => 594
[3,8,2,6,5,7,1,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,8,3,6,7,4,1,5] => 0100110 => [1,1,2,2,1] => 611
[8,7,2,5,6,3,1,4] => 1100110 => [2,2,2,1] => 357
[8,7,1,6,4,3,2,5] => 1101110 => [2,1,3,1] => 262
[1,8,2,7,5,4,3,6] => 0101110 => [1,1,1,3,1] => 450
[3,8,1,7,5,4,2,6] => 0101110 => [1,1,1,3,1] => 450
[5,8,6,1,7,3,2,4] => 0110110 => [1,2,1,2,1] => 603
[6,7,1,2,8,4,3,5] => 0100110 => [1,1,2,2,1] => 611
[2,1,3,8,6,5,4,7] => 1001110 => [1,2,3,1] => 262
[8,2,1,7,5,4,3,6] => 1101110 => [2,1,3,1] => 262
[1,3,2,8,6,5,4,7] => 0101110 => [1,1,1,3,1] => 450
[3,4,1,7,6,8,2,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,5,7,1,8,4,3,6] => 0010110 => [2,1,1,2,1] => 603
[3,5,7,1,6,8,2,4] => 0010010 => [2,1,2,1,1] => 594
[4,5,7,6,1,8,2,3] => 0011010 => [2,2,1,1,1] => 582
[5,4,7,6,8,3,1,2] => 1010110 => [1,1,1,1,2,1] => 1023
[1,5,7,8,6,3,2,4] => 0001110 => [3,3,1] => 110
[8,4,6,7,5,2,1,3] => 1001110 => [1,2,3,1] => 262
[8,3,7,5,6,2,1,4] => 1010110 => [1,1,1,1,2,1] => 1023
[1,4,8,6,7,3,2,5] => 0010110 => [2,1,1,2,1] => 603
[2,4,8,6,7,3,1,5] => 0010110 => [2,1,1,2,1] => 603
[5,2,7,8,6,3,1,4] => 1001110 => [1,2,3,1] => 262
[2,3,8,7,5,4,1,6] => 0011110 => [2,4,1] => 85
[1,3,8,7,5,4,2,6] => 0011110 => [2,4,1] => 85
[8,2,7,6,4,3,1,5] => 1011110 => [1,1,4,1] => 148
[8,1,7,6,4,3,2,5] => 1011110 => [1,1,4,1] => 148
[4,1,8,6,7,3,2,5] => 1010110 => [1,1,1,1,2,1] => 1023
[4,8,7,5,6,2,1,3] => 0110110 => [1,2,1,2,1] => 603
[5,6,8,1,7,4,3,2] => 0010111 => [2,1,1,3] => 262
[1,6,9,8,7,5,4,3,2] => 00111111 => [2,6] => 28
[1,4,9,8,7,6,5,3,2] => 00111111 => [2,6] => 28
[1,3,9,8,7,6,5,4,2] => 00111111 => [2,6] => 28
[8,7,1,9,6,5,4,3,2] => 11011111 => [2,1,5] => 138
[6,7,9,1,8,5,4,3,2] => 00101111 => [2,1,1,4] => 534
[5,6,9,8,1,7,4,3,2] => 00110111 => [2,2,1,3] => 934
[4,1,8,7,3,6,5,2] => 1011011 => [1,1,2,1,2] => 611
[5,6,8,4,1,7,3,2] => 0011011 => [2,2,1,2] => 357
[5,4,9,8,7,1,6,3,2] => 10111011 => [1,1,3,1,2] => 1608
[4,5,8,7,3,1,6,2] => 0011101 => [2,3,1,1] => 256
[3,4,9,8,7,6,1,5,2] => 00111101 => [2,4,1,1] => 522
[2,3,9,8,7,6,5,1,4] => 00111110 => [2,5,1] => 138
[1,7,6,9,8,5,4,3,2] => 01011111 => [1,1,1,5] => 244
[1,6,9,5,8,7,4,3,2] => 00101111 => [2,1,1,4] => 534
[8,7,6,1,9,5,4,3,2] => 11101111 => [3,1,4] => 220
[3,1,8,4,7,6,5,2] => 1010111 => [1,1,1,1,3] => 450
[5,1,9,8,4,7,6,3,2] => 10110111 => [1,1,2,1,3] => 1626
[6,7,9,5,1,8,4,3,2] => 00110111 => [2,2,1,3] => 934
[1,4,9,8,7,3,6,5,2] => 00111011 => [2,3,1,2] => 924
[5,6,9,8,4,1,7,3,2] => 00111011 => [2,3,1,2] => 924
[1,3,9,8,7,6,2,5,4] => 00111101 => [2,4,1,1] => 522
[1,5,8,4,3,7,6,2] => 0011011 => [2,2,1,2] => 357
[5,4,9,8,7,3,1,6,2] => 10111101 => [1,1,4,1,1] => 912
[3,4,9,8,7,6,2,1,5] => 00111110 => [2,5,1] => 138
[8,1,7,2,5,6,4,3] => 1010011 => [1,1,1,2,2] => 622
[8,1,3,5,2,7,6,4] => 1001011 => [1,2,1,1,2] => 603
[2,7,1,5,4,8,6,3] => 0101011 => [1,1,1,1,1,2] => 1023
[8,6,2,4,3,7,5,1] => 1101011 => [2,1,1,1,2] => 603
[2,4,1,6,7,5,8,3] => 0100101 => [1,1,2,1,1,1] => 984
[8,1,4,5,6,3,7,2] => 1000101 => [1,3,1,1,1] => 427
[8,1,4,5,6,2,7,3] => 1000101 => [1,3,1,1,1] => 427
[8,1,4,7,6,2,5,3] => 1001101 => [1,2,2,1,1] => 594
[2,5,1,7,8,6,4,3] => 0100111 => [1,1,2,3] => 265
[3,5,6,2,8,7,4,1] => 0010111 => [2,1,1,3] => 262
[2,4,5,1,7,6,3,8] => 0010110 => [2,1,1,2,1] => 603
[7,3,1,5,6,4,2,8] => 1100110 => [2,2,2,1] => 357
[8,3,2,5,6,7,1,4] => 1100010 => [2,3,1,1] => 256
[8,4,5,3,7,6,2,1] => 1010111 => [1,1,1,1,3] => 450
[3,4,5,6,2,8,1,7] => 0001010 => [3,1,1,1,1] => 427
[3,7,4,2,8,5,1,6] => 0110110 => [1,2,1,2,1] => 603
[7,3,4,1,6,8,2,5] => 1010010 => [1,1,1,2,1,1] => 1006
[2,6,3,1,4,7,5,8] => 0110010 => [1,2,2,1,1] => 594
[7,2,1,6,3,4,8,5] => 1101001 => [2,1,1,2,1] => 603
[7,3,4,1,6,5,8,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[3,7,4,2,5,8,6,1] => 0110011 => [1,2,2,2] => 363
[2,3,5,1,4,8,7,6] => 0010011 => [2,1,2,2] => 363
[2,7,1,3,6,8,5,4] => 0100011 => [1,1,3,2] => 265
[2,7,1,3,8,4,6,5] => 0100101 => [1,1,2,1,1,1] => 984
[3,8,7,1,6,2,5,4] => 0110101 => [1,2,1,1,1,1] => 969
[3,8,7,1,4,5,2,6] => 0110010 => [1,2,2,1,1] => 594
[3,7,4,2,1,8,6,5] => 0111011 => [1,3,1,2] => 259
[4,8,5,7,2,6,3,1] => 0101011 => [1,1,1,1,1,2] => 1023
[8,4,5,7,3,2,6,1] => 1001101 => [1,2,2,1,1] => 594
[8,3,7,2,4,1,5,6] => 1010100 => [1,1,1,1,1,2] => 1023
[8,6,7,2,1,4,3,5] => 1011010 => [1,1,2,1,1,1] => 984
[8,3,7,5,1,2,6,4] => 1011001 => [1,1,2,2,1] => 611
[7,3,4,6,2,1,5,8] => 1001100 => [1,2,2,2] => 363
[3,7,4,6,1,5,2,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,4,7,6,1,2,8,5] => 0011001 => [2,2,2,1] => 357
[4,5,8,7,6,1,3,2] => 0011101 => [2,3,1,1] => 256
[8,6,3,7,5,1,4,2] => 1101101 => [2,1,2,1,1] => 594
[8,7,3,5,6,1,4,2] => 1100101 => [2,2,1,1,1] => 582
[7,6,3,8,1,4,5,2] => 1101001 => [2,1,1,2,1] => 603
[8,5,2,7,6,1,3,4] => 1101100 => [2,1,2,2] => 363
[8,7,3,1,4,5,2,6] => 1110010 => [3,2,1,1] => 256
[8,4,2,5,1,6,7,3] => 1101001 => [2,1,1,2,1] => 603
[8,5,3,1,6,4,7,2] => 1110101 => [3,1,1,1,1] => 427
[8,7,3,1,4,5,6,2] => 1110001 => [3,3,1] => 110
[8,7,4,1,5,6,2,3] => 1110010 => [3,2,1,1] => 256
[8,6,4,1,7,5,2,3] => 1110110 => [3,1,2,1] => 259
[8,6,3,1,7,4,5,2] => 1110101 => [3,1,1,1,1] => 427
[8,5,3,1,6,7,4,2] => 1110011 => [3,2,2] => 153
[8,5,3,7,1,6,4,2] => 1101011 => [2,1,1,1,2] => 603
[7,6,3,8,1,4,2,5] => 1101010 => [2,1,1,1,1,1] => 969
[7,4,8,2,6,1,5,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,4,7,3,1,5,2,8] => 1011010 => [1,1,2,1,1,1] => 984
[8,5,3,1,6,4,2,7] => 1110110 => [3,1,2,1] => 259
[8,7,4,1,5,2,3,6] => 1110100 => [3,1,1,2] => 259
[8,7,5,1,2,6,3,4] => 1110010 => [3,2,1,1] => 256
[8,6,4,1,2,7,5,3] => 1110011 => [3,2,2] => 153
[8,7,4,1,2,5,3,6] => 1110010 => [3,2,1,1] => 256
[8,7,5,1,2,3,6,4] => 1110001 => [3,3,1] => 110
[6,5,3,7,4,2,1,8] => 1101110 => [2,1,3,1] => 262
[1,6,3,8,4,2,5,7] => 0101100 => [1,1,1,2,2] => 622
[4,7,2,5,3,6,1,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,8,3,4,5,2,6,7] => 0100100 => [1,1,2,1,2] => 611
[1,8,6,4,2,5,3,7] => 0111010 => [1,3,1,1,1] => 427
[8,2,6,4,1,5,7,3] => 1011001 => [1,1,2,2,1] => 611
[7,8,3,4,6,1,5,2] => 0100101 => [1,1,2,1,1,1] => 984
[4,8,7,5,3,1,6,2] => 0111101 => [1,4,1,1] => 145
[6,1,4,8,3,2,5,7] => 1001100 => [1,2,2,2] => 363
[4,1,8,5,3,2,6,7] => 1011100 => [1,1,3,2] => 265
[8,1,6,4,2,7,3,5] => 1011010 => [1,1,2,1,1,1] => 984
[3,1,7,4,2,5,8,6] => 1011001 => [1,1,2,2,1] => 611
[1,2,7,4,3,5,6,8] => 0011000 => [2,2,3] => 153
[6,1,8,5,2,4,3,7] => 1011010 => [1,1,2,1,1,1] => 984
[6,8,2,5,1,4,7,3] => 0101001 => [1,1,1,1,2,1] => 1023
[4,5,2,1,6,8,7,3] => 0110011 => [1,2,2,2] => 363
[7,2,8,6,5,1,4,3] => 1011101 => [1,1,3,1,1] => 439
[7,4,8,6,1,5,3,2] => 1011011 => [1,1,2,1,2] => 611
[8,7,2,6,1,4,5,3] => 1101001 => [2,1,1,2,1] => 603
[1,7,8,6,2,4,3,5] => 0011010 => [2,2,1,1,1] => 582
[7,6,3,1,2,5,4,8] => 1110010 => [3,2,1,1] => 256
[8,5,3,1,2,4,7,6] => 1110001 => [3,3,1] => 110
[8,2,1,6,5,3,4,7] => 1101100 => [2,1,2,2] => 363
[3,8,1,5,6,2,4,7] => 0100100 => [1,1,2,1,2] => 611
[6,8,4,1,5,2,3,7] => 0110100 => [1,2,1,1,2] => 603
[3,2,8,1,6,4,5,7] => 1010100 => [1,1,1,1,1,2] => 1023
[5,2,1,3,7,6,4,8] => 1100110 => [2,2,2,1] => 357
[5,4,1,2,8,3,7,6] => 1100101 => [2,2,1,1,1] => 582
[5,8,4,1,2,3,7,6] => 0110001 => [1,2,3,1] => 262
[7,1,2,5,3,4,6,8] => 1001000 => [1,2,1,3] => 262
[1,6,7,3,2,8,4,5] => 0011010 => [2,2,1,1,1] => 582
[1,8,6,3,2,7,4,5] => 0111010 => [1,3,1,1,1] => 427
[1,5,3,7,2,8,4,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,4,6,2,8,5,3,7] => 0010110 => [2,1,1,2,1] => 603
[1,5,6,2,8,4,3,7] => 0010110 => [2,1,1,2,1] => 603
[2,4,6,3,1,7,5,8] => 0011010 => [2,2,1,1,1] => 582
[3,4,8,6,5,7,2,1] => 0011011 => [2,2,1,2] => 357
[1,2,5,7,4,3,6,8] => 0001100 => [3,2,2] => 153
[1,2,5,7,4,6,8,3] => 0001001 => [3,1,2,1] => 259
[3,5,8,6,1,7,2,4] => 0011010 => [2,2,1,1,1] => 582
[2,3,6,8,1,7,4,5] => 0001010 => [3,1,1,1,1] => 427
[2,3,7,1,8,6,4,5] => 0010110 => [2,1,1,2,1] => 603
[2,6,1,7,8,5,3,4] => 0100110 => [1,1,2,2,1] => 611
[2,4,8,5,6,7,1,3] => 0010010 => [2,1,2,1,1] => 594
[1,4,8,5,6,7,3,2] => 0010011 => [2,1,2,2] => 363
[4,8,3,1,6,5,7,2] => 0110101 => [1,2,1,1,1,1] => 969
[1,6,8,5,4,2,7,3] => 0011101 => [2,3,1,1] => 256
[6,5,8,4,2,1,7,3] => 1011101 => [1,1,3,1,1] => 439
[1,7,8,6,5,4,2,3] => 0011110 => [2,4,1] => 85
[6,8,7,4,5,1,3,2] => 0110101 => [1,2,1,1,1,1] => 969
[6,1,3,5,4,2,8,7] => 1001101 => [1,2,2,1,1] => 594
[3,6,4,2,5,1,8,7] => 0110101 => [1,2,1,1,1,1] => 969
[2,1,5,8,6,4,7,3] => 1001101 => [1,2,2,1,1] => 594
[4,2,8,5,6,3,7,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,7,2,3,4,6,8,1] => 0100001 => [1,1,4,1] => 148
[1,8,7,3,2,5,6,4] => 0111001 => [1,3,2,1] => 259
[5,7,1,2,3,8,6,4] => 0100011 => [1,1,3,2] => 265
[7,8,6,2,4,1,5,3] => 0110101 => [1,2,1,1,1,1] => 969
[7,2,8,4,6,1,5,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,4,6,2,8,1,5,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,1,5,8,2,3,6,4] => 1001001 => [1,2,1,2,1] => 603
[7,6,4,8,2,1,5,3] => 1101101 => [2,1,2,1,1] => 594
[6,1,8,4,2,3,5,7] => 1011000 => [1,1,2,3] => 265
[7,3,6,2,1,8,5,4] => 1011011 => [1,1,2,1,2] => 611
[1,8,6,4,2,5,7,3] => 0111001 => [1,3,2,1] => 259
[5,6,2,1,8,4,7,3] => 0110101 => [1,2,1,1,1,1] => 969
[5,1,6,4,3,8,7,2] => 1011011 => [1,1,2,1,2] => 611
[5,4,6,8,1,3,7,2] => 1001001 => [1,2,1,2,1] => 603
[3,7,1,6,4,5,8,2] => 0101001 => [1,1,1,1,2,1] => 1023
[3,5,2,1,4,6,7,8] => 0110000 => [1,2,4] => 85
[1,3,8,7,5,4,6,2] => 0011101 => [2,3,1,1] => 256
[9,3,4,2,5,6,7,8,1] => 10100001 => [1,1,1,4,1] => 934
[1,2,3,4,5,7,9,8,6] => 00000011 => [6,2] => 28
[1,2,3,4,6,7,9,8,5] => 00000011 => [6,2] => 28
[1,2,3,4,6,8,9,7,5] => 00000011 => [6,2] => 28
[1,2,3,4,6,9,8,7,5] => 00000111 => [5,3] => 56
[1,2,3,5,6,7,9,8,4] => 00000011 => [6,2] => 28
[1,2,3,5,6,8,9,7,4] => 00000011 => [6,2] => 28
[1,2,3,5,6,9,8,7,4] => 00000111 => [5,3] => 56
[1,2,3,5,7,9,8,6,4] => 00000111 => [5,3] => 56
[1,2,3,5,9,8,7,6,4] => 00001111 => [4,4] => 70
[1,2,4,5,7,8,9,6,3] => 00000011 => [6,2] => 28
[1,2,4,5,7,9,8,6,3] => 00000111 => [5,3] => 56
[1,2,4,5,9,8,7,6,3] => 00001111 => [4,4] => 70
[1,2,4,6,9,8,7,5,3] => 00001111 => [4,4] => 70
[1,2,4,9,8,7,6,5,3] => 00011111 => [3,5] => 56
[1,3,5,7,9,8,6,4,2] => 00001111 => [4,4] => 70
[1,3,5,9,8,7,6,4,2] => 00011111 => [3,5] => 56
[6,7,3,4,8,5,1,2] => 0100110 => [1,1,2,2,1] => 611
[7,4,1,8,2,5,6,3] => 1101001 => [2,1,1,2,1] => 603
[3,1,7,2,5,6,8,4] => 1010001 => [1,1,1,3,1] => 450
[4,1,5,7,3,2,8,6] => 1001101 => [1,2,2,1,1] => 594
[6,4,1,7,2,8,5,3] => 1101011 => [2,1,1,1,2] => 603
[7,3,1,6,2,8,5,4] => 1101011 => [2,1,1,1,2] => 603
[4,8,2,5,3,1,6,7] => 0101100 => [1,1,1,2,2] => 622
[5,1,3,4,8,2,6,7] => 1000100 => [1,3,1,2] => 259
[6,1,4,5,7,8,2,3] => 1000010 => [1,4,1,1] => 145
[6,3,4,7,1,8,5,2] => 1001011 => [1,2,1,1,2] => 603
[7,1,3,4,5,6,8,2] => 1000001 => [1,5,1] => 37
[8,5,2,7,6,3,1,4] => 1101110 => [2,1,3,1] => 262
[1,8,3,5,6,2,7,4] => 0100101 => [1,1,2,1,1,1] => 984
[8,3,2,5,6,1,7,4] => 1100101 => [2,2,1,1,1] => 582
[4,2,5,1,6,8,7,3] => 1010011 => [1,1,1,2,2] => 622
[5,4,2,7,8,6,1,3] => 1100110 => [2,2,2,1] => 357
[6,8,7,2,1,3,4,5] => 0111000 => [1,3,3] => 110
[3,7,6,8,5,2,4,1] => 0101101 => [1,1,1,2,1,1] => 1006
[1,7,8,5,2,6,3,4] => 0011010 => [2,2,1,1,1] => 582
[7,6,1,2,5,3,8,4] => 1100101 => [2,2,1,1,1] => 582
[5,8,7,2,6,3,4,1] => 0110101 => [1,2,1,1,1,1] => 969
[7,6,2,4,8,1,5,3] => 1100101 => [2,2,1,1,1] => 582
[1,5,7,3,8,6,2,4] => 0010110 => [2,1,1,2,1] => 603
[6,7,5,1,8,2,3,4] => 0110100 => [1,2,1,1,2] => 603
[7,6,1,2,4,3,8,5] => 1100101 => [2,2,1,1,1] => 582
[6,7,2,1,5,3,8,4] => 0110101 => [1,2,1,1,1,1] => 969
[4,3,2,8,7,1,6,5] => 1101101 => [2,1,2,1,1] => 594
[4,8,3,1,7,6,5,2] => 0110111 => [1,2,1,3] => 262
[5,3,8,7,1,6,4,2] => 1011011 => [1,1,2,1,2] => 611
[5,8,7,3,1,6,4,2] => 0111011 => [1,3,1,2] => 259
[5,3,8,2,1,7,6,4] => 1011011 => [1,1,2,1,2] => 611
[3,8,7,2,6,5,1,4] => 0110110 => [1,2,1,2,1] => 603
[7,4,1,8,6,5,3,2] => 1101111 => [2,1,4] => 85
[5,4,2,8,1,7,6,3] => 1101011 => [2,1,1,1,2] => 603
[5,8,4,2,1,7,6,3] => 0111011 => [1,3,1,2] => 259
[5,8,4,7,1,6,3,2] => 0101011 => [1,1,1,1,1,2] => 1023
[5,4,8,3,1,7,6,2] => 1011011 => [1,1,2,1,2] => 611
[8,5,6,1,4,7,2,3] => 1010010 => [1,1,1,2,1,1] => 1006
[6,7,4,1,2,5,8,3] => 0110001 => [1,2,3,1] => 262
[1,6,7,4,2,5,8,3] => 0011001 => [2,2,2,1] => 357
[3,6,7,5,8,1,2,4] => 0010100 => [2,1,1,1,2] => 603
[1,6,7,5,8,3,2,4] => 0010110 => [2,1,1,2,1] => 603
[3,8,6,5,7,4,1,2] => 0110110 => [1,2,1,2,1] => 603
[8,1,6,5,7,4,3,2] => 1010111 => [1,1,1,1,3] => 450
[5,2,1,6,8,4,7,3] => 1100101 => [2,2,1,1,1] => 582
[6,5,8,7,4,2,3,1] => 1011101 => [1,1,3,1,1] => 439
[6,8,5,7,4,2,1,3] => 0101110 => [1,1,1,3,1] => 450
[3,6,7,5,8,2,1,4] => 0010110 => [2,1,1,2,1] => 603
[4,7,5,3,8,1,2,6] => 0110100 => [1,2,1,1,2] => 603
[4,7,5,3,6,1,2,8] => 0110100 => [1,2,1,1,2] => 603
[4,7,5,3,1,6,2,8] => 0111010 => [1,3,1,1,1] => 427
[2,7,5,3,6,4,8,1] => 0110101 => [1,2,1,1,1,1] => 969
[2,7,5,6,3,8,4,1] => 0101011 => [1,1,1,1,1,2] => 1023
[2,7,5,3,6,8,1,4] => 0110010 => [1,2,2,1,1] => 594
[8,7,5,3,1,4,6,2] => 1111001 => [4,2,1] => 85
[2,7,5,3,1,4,8,6] => 0111001 => [1,3,2,1] => 259
[2,7,5,3,4,8,6,1] => 0110011 => [1,2,2,2] => 363
[5,7,6,2,8,3,1,4] => 0110110 => [1,2,1,2,1] => 603
[5,1,6,3,2,4,8,7] => 1011001 => [1,1,2,2,1] => 611
[5,7,6,1,8,3,2,4] => 0110110 => [1,2,1,2,1] => 603
[3,8,7,2,1,5,4,6] => 0111010 => [1,3,1,1,1] => 427
[6,1,7,2,8,4,3,5] => 1010110 => [1,1,1,1,2,1] => 1023
[4,8,5,6,7,3,1,2] => 0100110 => [1,1,2,2,1] => 611
[3,7,6,2,8,5,1,4] => 0110110 => [1,2,1,2,1] => 603
[6,1,7,3,8,5,2,4] => 1010110 => [1,1,1,1,2,1] => 1023
[7,1,8,3,2,5,4,6] => 1011010 => [1,1,2,1,1,1] => 984
[2,7,8,3,1,5,4,6] => 0011010 => [2,2,1,1,1] => 582
[4,8,5,6,7,2,1,3] => 0100110 => [1,1,2,2,1] => 611
[5,8,6,2,7,4,1,3] => 0110110 => [1,2,1,2,1] => 603
[2,4,6,7,8,5,1,3] => 0000110 => [4,2,1] => 85
[2,4,6,7,8,3,1,5] => 0000110 => [4,2,1] => 85
[4,7,6,2,8,5,1,3] => 0110110 => [1,2,1,2,1] => 603
[5,8,7,3,2,4,1,6] => 0111010 => [1,3,1,1,1] => 427
[4,6,5,8,7,3,1,2] => 0101110 => [1,1,1,3,1] => 450
[8,3,1,7,2,6,4,5] => 1101010 => [2,1,1,1,1,1] => 969
[4,5,1,2,8,7,3,6] => 0100110 => [1,1,2,2,1] => 611
[5,6,1,2,8,3,7,4] => 0100101 => [1,1,2,1,1,1] => 984
[5,8,7,1,6,2,4,3] => 0110101 => [1,2,1,1,1,1] => 969
[8,4,5,1,7,6,2,3] => 1010110 => [1,1,1,1,2,1] => 1023
[6,3,1,4,8,2,7,5] => 1100101 => [2,2,1,1,1] => 582
[8,5,6,1,7,2,4,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,5,6,1,3,8,4,2] => 1010011 => [1,1,1,2,2] => 622
[5,7,6,1,3,8,4,2] => 0110011 => [1,2,2,2] => 363
[6,7,1,4,2,8,5,3] => 0101011 => [1,1,1,1,1,2] => 1023
[2,1,6,4,8,3,7,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[1,5,7,8,4,2,3,6] => 0001100 => [3,2,2] => 153
[1,3,6,4,2,5,7,8] => 0011000 => [2,2,3] => 153
[1,4,5,7,8,3,6,2] => 0000101 => [4,1,1,1] => 145
[1,5,7,8,3,6,2,4] => 0001010 => [3,1,1,1,1] => 427
[1,5,7,8,2,4,3,6] => 0001010 => [3,1,1,1,1] => 427
[6,8,4,7,3,2,1,5] => 0101110 => [1,1,1,3,1] => 450
[6,8,5,4,2,7,1,3] => 0111010 => [1,3,1,1,1] => 427
[1,8,4,6,3,2,7,5] => 0101101 => [1,1,1,2,1,1] => 1006
[6,4,8,5,3,2,1,7] => 1011110 => [1,1,4,1] => 148
[3,5,6,1,4,2,7,8] => 0010100 => [2,1,1,1,2] => 603
[1,6,3,8,4,2,7,5] => 0101101 => [1,1,1,2,1,1] => 1006
[7,1,3,2,4,6,8,5] => 1010001 => [1,1,1,3,1] => 450
[2,6,5,7,8,3,1,4] => 0100110 => [1,1,2,2,1] => 611
[4,1,8,2,6,7,5,3] => 1010011 => [1,1,1,2,2] => 622
[3,6,7,8,2,1,4,5] => 0001100 => [3,2,2] => 153
[2,5,7,1,6,3,4,8] => 0010100 => [2,1,1,1,2] => 603
[4,2,8,3,6,5,1,7] => 1010110 => [1,1,1,1,2,1] => 1023
[6,3,8,7,2,4,5,1] => 1011001 => [1,1,2,2,1] => 611
[7,6,1,8,2,4,5,3] => 1101001 => [2,1,1,2,1] => 603
[2,5,6,3,4,8,1,7] => 0010010 => [2,1,2,1,1] => 594
[5,2,4,7,8,6,1,3] => 1000110 => [1,3,2,1] => 259
[7,2,1,3,4,8,5,6] => 1100010 => [2,3,1,1] => 256
[2,4,5,7,1,8,6,3] => 0001011 => [3,1,1,2] => 259
[8,1,6,2,3,4,7,5] => 1010001 => [1,1,1,3,1] => 450
[6,1,4,2,5,7,8,3] => 1010001 => [1,1,1,3,1] => 450
[6,5,1,2,3,7,8,9,4] => 11000001 => [2,5,1] => 138
[1,6,7,2,4,3,5,8] => 0010100 => [2,1,1,1,2] => 603
[1,8,3,4,5,2,7,6] => 0100101 => [1,1,2,1,1,1] => 984
[1,8,3,6,4,7,2,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,4,7,2,5,6,3,8] => 0010010 => [2,1,2,1,1] => 594
[7,3,5,8,2,6,1,4] => 1001010 => [1,2,1,1,1,1] => 969
[3,4,8,6,7,2,1,5] => 0010110 => [2,1,1,2,1] => 603
[3,4,8,2,5,1,7,6] => 0010101 => [2,1,1,1,1,1] => 969
[1,7,2,5,8,4,3,6] => 0100110 => [1,1,2,2,1] => 611
[1,4,6,7,8,3,5,2] => 0000101 => [4,1,1,1] => 145
[4,1,5,3,6,8,7,2] => 1010011 => [1,1,1,2,2] => 622
[5,8,7,4,6,2,3,1] => 0110101 => [1,2,1,1,1,1] => 969
[6,8,7,1,5,3,4,2] => 0110101 => [1,2,1,1,1,1] => 969
[2,7,8,4,6,5,1,3] => 0010110 => [2,1,1,2,1] => 603
[3,7,8,5,4,6,2,1] => 0011011 => [2,2,1,2] => 357
[4,8,7,5,2,6,3,1] => 0111011 => [1,3,1,2] => 259
[2,8,7,4,6,1,5,3] => 0110101 => [1,2,1,1,1,1] => 969
[4,8,7,2,5,6,3,1] => 0110011 => [1,2,2,2] => 363
[4,7,8,5,3,6,2,1] => 0011011 => [2,2,1,2] => 357
[6,4,8,1,5,7,3,2] => 1010011 => [1,1,1,2,2] => 622
[1,6,8,3,5,2,7,4] => 0010101 => [2,1,1,1,1,1] => 969
[4,5,8,6,3,7,2,1] => 0011011 => [2,2,1,2] => 357
[2,6,7,8,4,5,1,3] => 0001010 => [3,1,1,1,1] => 427
[6,1,2,8,4,7,5,3] => 1001011 => [1,2,1,1,2] => 603
[4,7,1,8,5,6,3,2] => 0101011 => [1,1,1,1,1,2] => 1023
[5,7,1,8,2,6,4,3] => 0101011 => [1,1,1,1,1,2] => 1023
[7,2,1,8,6,4,5,3] => 1101101 => [2,1,2,1,1] => 594
[5,3,8,4,7,6,2,1] => 1010111 => [1,1,1,1,3] => 450
[2,5,8,1,7,4,6,3] => 0010101 => [2,1,1,1,1,1] => 969
[4,5,8,3,7,6,2,1] => 0010111 => [2,1,1,3] => 262
[1,7,2,8,6,4,5,3] => 0101101 => [1,1,1,2,1,1] => 1006
[3,5,7,8,1,6,2,4] => 0001010 => [3,1,1,1,1] => 427
[2,4,7,8,5,6,1,3] => 0001010 => [3,1,1,1,1] => 427
[4,1,7,8,5,6,3,2] => 1001011 => [1,2,1,1,2] => 603
[3,5,8,6,4,7,2,1] => 0011011 => [2,2,1,2] => 357
[2,4,8,5,7,6,1,3] => 0010110 => [2,1,1,2,1] => 603
[2,6,3,8,5,1,7,4] => 0101101 => [1,1,1,2,1,1] => 1006
[4,1,5,8,6,7,3,2] => 1001011 => [1,2,1,1,2] => 603
[5,3,4,7,6,1,2,8] => 1001100 => [1,2,2,2] => 363
[6,2,1,4,8,3,7,5] => 1100101 => [2,2,1,1,1] => 582
[2,8,5,4,1,3,7,6] => 0111001 => [1,3,2,1] => 259
[4,2,8,7,1,3,5,6] => 1011000 => [1,1,2,3] => 265
[5,4,6,3,1,7,2,8] => 1011010 => [1,1,2,1,1,1] => 984
[4,3,6,5,1,8,2,7] => 1011010 => [1,1,2,1,1,1] => 984
[1,5,6,8,7,3,2,4] => 0001110 => [3,3,1] => 110
[1,4,8,3,6,5,2,7] => 0010110 => [2,1,1,2,1] => 603
[1,3,8,6,4,7,2,5] => 0011010 => [2,2,1,1,1] => 582
[1,2,8,6,4,3,7,5] => 0011101 => [2,3,1,1] => 256
[6,5,1,8,7,3,2,4] => 1101110 => [2,1,3,1] => 262
[4,1,7,6,8,3,2,5] => 1010110 => [1,1,1,1,2,1] => 1023
[1,8,4,7,6,2,3,5] => 0101100 => [1,1,1,2,2] => 622
[8,3,2,6,1,7,4,5] => 1101010 => [2,1,1,1,1,1] => 969
[1,6,3,7,4,5,2,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,6,3,7,4,8,5,1] => 0101011 => [1,1,1,1,1,2] => 1023
[4,6,1,7,8,2,5,3] => 0100101 => [1,1,2,1,1,1] => 984
[7,2,3,8,4,5,6,1] => 1001001 => [1,2,1,2,1] => 603
[5,2,6,7,8,3,4,1] => 1000101 => [1,3,1,1,1] => 427
[6,5,8,1,2,7,4,3] => 1010011 => [1,1,1,2,2] => 622
[6,5,1,8,7,2,4,3] => 1101101 => [2,1,2,1,1] => 594
[5,8,4,3,7,2,1,6] => 0110110 => [1,2,1,2,1] => 603
[6,1,2,8,7,3,4,5] => 1001100 => [1,2,2,2] => 363
[7,3,2,8,4,6,1,5] => 1101010 => [2,1,1,1,1,1] => 969
[4,5,1,7,6,2,8,3] => 0101101 => [1,1,1,2,1,1] => 1006
[1,5,2,7,6,3,4,8] => 0101100 => [1,1,1,2,2] => 622
[7,2,6,8,3,5,4,1] => 1001011 => [1,2,1,1,2] => 603
[4,8,1,7,6,2,5,3] => 0101101 => [1,1,1,2,1,1] => 1006
[7,2,8,6,5,3,4,1] => 1011101 => [1,1,3,1,1] => 439
[4,1,8,7,6,5,2,3] => 1011110 => [1,1,4,1] => 148
[7,6,5,2,8,4,3,1] => 1110111 => [3,1,3] => 110
[6,5,1,8,7,4,3,2] => 1101111 => [2,1,4] => 85
[7,5,1,8,6,4,3,2] => 1101111 => [2,1,4] => 85
[8,5,1,7,6,4,3,2] => 1101111 => [2,1,4] => 85
[8,5,3,7,6,1,4,2] => 1101101 => [2,1,2,1,1] => 594
[3,8,7,6,1,5,4,2] => 0111011 => [1,3,1,2] => 259
[8,3,7,5,4,1,6,2] => 1011101 => [1,1,3,1,1] => 439
[4,5,3,1,8,7,2,6] => 0110110 => [1,2,1,2,1] => 603
[3,4,8,1,5,2,6,7] => 0010100 => [2,1,1,1,2] => 603
[8,6,5,7,1,3,2,4] => 1101010 => [2,1,1,1,1,1] => 969
[1,5,8,6,2,7,4,3] => 0011011 => [2,2,1,2] => 357
[3,1,8,5,7,2,6,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,8,5,3,4,2,1,7] => 0110110 => [1,2,1,2,1] => 603
[8,5,2,6,4,3,1,7] => 1101110 => [2,1,3,1] => 262
[8,6,4,5,2,1,7,3] => 1101101 => [2,1,2,1,1] => 594
[8,5,2,6,1,4,7,3] => 1101001 => [2,1,1,2,1] => 603
[2,7,5,8,1,4,6,3] => 0101001 => [1,1,1,1,2,1] => 1023
[3,2,6,7,1,8,5,4] => 1001011 => [1,2,1,1,2] => 603
[3,4,6,7,8,2,1,5] => 0000110 => [4,2,1] => 85
[3,2,6,7,8,4,1,5] => 1000110 => [1,3,2,1] => 259
[6,2,7,4,8,5,1,3] => 1010110 => [1,1,1,1,2,1] => 1023
[6,7,1,3,8,5,4,2] => 0100111 => [1,1,2,3] => 265
[6,7,1,8,5,2,4,3] => 0101101 => [1,1,1,2,1,1] => 1006
[1,2,6,7,8,5,3,4] => 0000110 => [4,2,1] => 85
[1,6,7,4,8,3,2,5] => 0010110 => [2,1,1,2,1] => 603
[1,4,6,7,8,3,2,5] => 0000110 => [4,2,1] => 85
[6,1,2,4,5,3,7,8] => 1000100 => [1,3,1,2] => 259
[8,1,7,3,2,6,4,5] => 1011010 => [1,1,2,1,1,1] => 984
[4,1,3,2,5,6,7,8,9] => 10100000 => [1,1,1,5] => 244
[6,1,2,4,5,3,7,8,9] => 10001000 => [1,3,1,3] => 676
[5,4,1,2,3,6,7,8,9] => 11000000 => [2,6] => 28
[8,1,2,3,5,6,7,4,9] => 10000010 => [1,5,1,1] => 240
[4,1,6,3,5,2,7,8,9] => 10101000 => [1,1,1,1,1,3] => 2790
[8,1,7,3,2,6,4,5,9] => 10110100 => [1,1,2,1,1,2] => 3732
[5,7,1,6,2,4,3,8,9] => 01010100 => [1,1,1,1,1,1,2] => 6344
[7,3,4,6,1,2,5,8,9] => 10010000 => [1,2,1,4] => 534
[6,1,2,9,4,5,7,8,3] => 10010001 => [1,2,1,3,1] => 1612
[4,1,6,3,8,5,7,2,9] => 10101010 => [1,1,1,1,1,1,1,1] => 10176
[6,8,5,1,7,2,3,4,9] => 01101000 => [1,2,1,1,3] => 1612
[8,3,4,5,7,1,2,6,9] => 10001000 => [1,3,1,3] => 676
[5,7,1,9,2,8,4,6,3] => 01010101 => [1,1,1,1,1,1,1,1] => 10176
[7,9,4,6,1,8,2,3,5] => 01010100 => [1,1,1,1,1,1,2] => 6344
[8,7,2,1,5,4,6,3] => 1110101 => [3,1,1,1,1] => 427
[2,7,4,8,6,5,3,1] => 0101111 => [1,1,1,4] => 148
[7,6,5,2,4,1,8,3] => 1110101 => [3,1,1,1,1] => 427
[7,6,4,3,1,5,8,2] => 1111001 => [4,2,1] => 85
[6,1,8,7,2,3,5,4] => 1011001 => [1,1,2,2,1] => 611
[8,6,1,2,7,3,4,5] => 1100100 => [2,2,1,2] => 357
[3,6,8,2,7,1,5,4] => 0010101 => [2,1,1,1,1,1] => 969
[2,8,6,1,4,5,7,3] => 0110001 => [1,2,3,1] => 262
[6,8,7,2,5,4,1,3] => 0110110 => [1,2,1,2,1] => 603
[3,2,6,4,8,7,5,1] => 1010111 => [1,1,1,1,3] => 450
[4,7,2,8,6,5,1,3] => 0101110 => [1,1,1,3,1] => 450
[4,7,1,8,6,5,3,2] => 0101111 => [1,1,1,4] => 148
[2,7,4,8,3,6,1,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,7,3,8,6,1,5,2] => 0101101 => [1,1,1,2,1,1] => 1006
[4,3,6,8,7,2,5,1] => 1001101 => [1,2,2,1,1] => 594
[4,3,8,2,5,7,6,1] => 1010011 => [1,1,1,2,2] => 622
[4,1,2,6,8,7,5,3] => 1000111 => [1,3,3] => 110
[3,1,6,4,8,7,2,5] => 1010110 => [1,1,1,1,2,1] => 1023
[4,1,6,8,7,5,2,3] => 1001110 => [1,2,3,1] => 262
[3,8,1,4,5,7,2,6] => 0100010 => [1,1,3,1,1] => 439
[3,8,1,4,2,5,7,6] => 0101001 => [1,1,1,1,2,1] => 1023
[4,1,8,3,5,2,7,6] => 1010101 => [1,1,1,1,1,1,1] => 1623
[3,8,1,2,5,4,7,6] => 0100101 => [1,1,2,1,1,1] => 984
[4,2,3,6,8,7,1,5] => 1000110 => [1,3,2,1] => 259
[4,2,8,3,5,1,7,6] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,2,8,3,5,7,6,1] => 1010011 => [1,1,1,2,2] => 622
[3,8,2,4,5,7,6,1] => 0100011 => [1,1,3,2] => 265
[3,8,2,5,1,4,7,6] => 0101001 => [1,1,1,1,2,1] => 1023
[4,2,8,5,7,1,3,6] => 1010100 => [1,1,1,1,1,2] => 1023
[3,8,1,5,2,4,7,6] => 0101001 => [1,1,1,1,2,1] => 1023
[7,5,6,4,1,3,2,8] => 1011010 => [1,1,2,1,1,1] => 984
[7,8,6,4,1,3,2,5] => 0111010 => [1,3,1,1,1] => 427
[7,1,4,2,5,6,3,8] => 1010010 => [1,1,1,2,1,1] => 1006
[7,3,2,1,4,6,5,8] => 1110010 => [3,2,1,1] => 256
[7,6,1,4,3,2,5,8] => 1101100 => [2,1,2,2] => 363
[7,4,1,3,5,6,2,8] => 1100010 => [2,3,1,1] => 256
[2,7,1,3,5,6,8,4] => 0100001 => [1,1,4,1] => 148
[3,6,2,1,5,8,7,4] => 0110011 => [1,2,2,2] => 363
[2,3,6,1,5,8,7,4] => 0010011 => [2,1,2,2] => 363
[3,4,7,1,5,6,8,2] => 0010001 => [2,1,3,1] => 262
[3,6,7,4,1,2,8,5] => 0011001 => [2,2,2,1] => 357
[4,3,2,7,1,6,8,5] => 1101001 => [2,1,1,2,1] => 603
[7,3,2,8,1,6,4,5] => 1101010 => [2,1,1,1,1,1] => 969
[7,4,8,1,5,6,3,2] => 1010011 => [1,1,1,2,2] => 622
[2,6,8,1,5,3,7,4] => 0010101 => [2,1,1,1,1,1] => 969
[6,8,2,1,5,3,7,4] => 0110101 => [1,2,1,1,1,1] => 969
[4,8,2,5,3,6,7,1] => 0101001 => [1,1,1,1,2,1] => 1023
[4,5,8,2,3,6,7,1] => 0010001 => [2,1,3,1] => 262
[2,4,8,5,3,6,7,1] => 0011001 => [2,2,2,1] => 357
[5,3,2,6,4,8,7,1] => 1101011 => [2,1,1,1,2] => 603
[2,4,5,3,8,6,7,1] => 0010101 => [2,1,1,1,1,1] => 969
[4,3,5,2,8,6,7,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,8,5,3,2,6,7,1] => 0111001 => [1,3,2,1] => 259
[3,5,4,2,8,6,7,1] => 0110101 => [1,2,1,1,1,1] => 969
[4,1,2,7,5,6,8,3] => 1001001 => [1,2,1,2,1] => 603
[5,6,7,4,2,8,3,1] => 0011011 => [2,2,1,2] => 357
[2,5,7,4,6,8,3,1] => 0010011 => [2,1,2,2] => 363
[7,5,2,4,3,8,6,1] => 1101011 => [2,1,1,1,2] => 603
[6,8,1,2,5,4,7,3] => 0100101 => [1,1,2,1,1,1] => 984
[6,4,1,8,5,2,7,3] => 1101101 => [2,1,2,1,1] => 594
[2,6,1,8,5,4,7,3] => 0101101 => [1,1,1,2,1,1] => 1006
[7,1,2,8,5,6,4,3] => 1001011 => [1,2,1,1,2] => 603
[4,3,2,6,8,5,7,1] => 1100101 => [2,2,1,1,1] => 582
[3,7,6,4,8,5,2,1] => 0110111 => [1,2,1,3] => 262
[3,1,6,8,5,4,7,2] => 1001101 => [1,2,2,1,1] => 594
[2,3,5,8,4,6,7,1] => 0001001 => [3,1,2,1] => 259
[3,5,2,8,4,6,7,1] => 0101001 => [1,1,1,1,2,1] => 1023
[3,4,5,8,2,6,7,1] => 0001001 => [3,1,2,1] => 259
[5,4,2,8,3,6,7,1] => 1101001 => [2,1,1,2,1] => 603
[5,3,4,8,2,6,7,1] => 1001001 => [1,2,1,2,1] => 603
[2,5,4,8,3,6,7,1] => 0101001 => [1,1,1,1,2,1] => 1023
[6,3,2,5,8,4,7,1] => 1100101 => [2,2,1,1,1] => 582
[6,1,8,3,5,4,7,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,4,8,3,2,6,7,1] => 1011001 => [1,1,2,2,1] => 611
[5,8,2,3,4,6,7,1] => 0100001 => [1,1,4,1] => 148
[6,2,1,7,8,5,4,3] => 1100111 => [2,2,3] => 153
[7,4,6,8,3,2,5,1] => 1001101 => [1,2,2,1,1] => 594
[3,4,5,2,7,1,6,8] => 0010100 => [2,1,1,1,2] => 603
[7,5,6,1,2,3,8,4] => 1010001 => [1,1,1,3,1] => 450
[1,5,7,6,3,2,8,4] => 0011101 => [2,3,1,1] => 256
[8,4,6,7,3,2,5,1] => 1001101 => [1,2,2,1,1] => 594
[8,4,6,2,3,1,5,7] => 1010100 => [1,1,1,1,1,2] => 1023
[7,5,2,1,4,3,8,6] => 1110101 => [3,1,1,1,1] => 427
[3,1,7,8,5,4,2,6] => 1001110 => [1,2,3,1] => 262
[3,4,5,2,1,8,6,7] => 0011010 => [2,2,1,1,1] => 582
[7,6,4,8,3,1,2,5] => 1101100 => [2,1,2,2] => 363
[7,4,8,5,6,1,2,3] => 1010100 => [1,1,1,1,1,2] => 1023
[6,2,8,5,1,3,4,7] => 1011000 => [1,1,2,3] => 265
[3,2,7,8,6,1,4,5] => 1001100 => [1,2,2,2] => 363
[6,8,2,5,1,3,7,4] => 0101001 => [1,1,1,1,2,1] => 1023
[6,7,4,2,1,5,3,8] => 0111010 => [1,3,1,1,1] => 427
[5,7,4,1,3,6,2,8] => 0110010 => [1,2,2,1,1] => 594
[4,2,7,5,1,8,3,6] => 1011010 => [1,1,2,1,1,1] => 984
[4,1,6,5,3,8,2,7] => 1011010 => [1,1,2,1,1,1] => 984
[1,5,4,6,3,8,2,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,8,6,4,7,3,2,5] => 0110110 => [1,2,1,2,1] => 603
[4,7,1,8,6,3,5,2] => 0101101 => [1,1,1,2,1,1] => 1006
[5,4,8,1,7,3,6,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,3,8,6,2,1,7,5] => 1011101 => [1,1,3,1,1] => 439
[8,3,6,2,4,1,7,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,8,3,2,4,6,5,1] => 0110011 => [1,2,2,2] => 363
[7,2,8,5,3,1,6,4] => 1011101 => [1,1,3,1,1] => 439
[2,5,4,8,7,3,6,1] => 0101101 => [1,1,1,2,1,1] => 1006
[6,4,2,8,7,3,1,5] => 1101110 => [2,1,3,1] => 262
[3,6,8,1,7,4,2,5] => 0010110 => [2,1,1,2,1] => 603
[7,8,6,3,1,4,5,2] => 0111001 => [1,3,2,1] => 259
[3,8,6,1,7,5,2,4] => 0110110 => [1,2,1,2,1] => 603
[2,7,5,4,8,3,1,6] => 0110110 => [1,2,1,2,1] => 603
[6,8,7,5,2,1,3,4] => 0111100 => [1,4,2] => 85
[7,6,2,8,5,1,3,4] => 1101100 => [2,1,2,2] => 363
[1,5,7,6,2,8,4,3] => 0011011 => [2,2,1,2] => 357
[1,6,5,2,7,8,4,3] => 0110011 => [1,2,2,2] => 363
[4,7,8,5,6,2,3,1] => 0010101 => [2,1,1,1,1,1] => 969
[4,7,8,1,2,5,6,3] => 0010001 => [2,1,3,1] => 262
[8,6,4,1,2,5,7,3] => 1110001 => [3,3,1] => 110
[6,1,4,7,2,5,8,3] => 1001001 => [1,2,1,2,1] => 603
[5,6,3,2,7,4,1,8] => 0110110 => [1,2,1,2,1] => 603
[2,6,4,3,7,5,8,1] => 0110101 => [1,2,1,1,1,1] => 969
[7,2,3,6,1,8,4,5] => 1001010 => [1,2,1,1,1,1] => 969
[3,4,6,5,7,1,2,8] => 0010100 => [2,1,1,1,2] => 603
[7,6,2,3,5,4,8,1] => 1100101 => [2,2,1,1,1] => 582
[8,5,2,4,3,6,1,7] => 1101010 => [2,1,1,1,1,1] => 969
[8,5,7,2,4,1,6,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[2,6,7,5,8,1,4,3] => 0010101 => [2,1,1,1,1,1] => 969
[7,4,8,2,1,5,6,3] => 1011001 => [1,1,2,2,1] => 611
[2,3,6,7,8,5,1,4] => 0000110 => [4,2,1] => 85
[8,3,7,1,6,4,2,5] => 1010110 => [1,1,1,1,2,1] => 1023
[8,2,1,7,6,5,3,4] => 1101110 => [2,1,3,1] => 262
[6,5,1,2,8,3,4,7] => 1100100 => [2,2,1,2] => 357
[5,6,8,1,3,7,2,4] => 0010010 => [2,1,2,1,1] => 594
[1,6,8,5,3,2,4,7] => 0011100 => [2,3,2] => 153
[5,8,1,6,7,4,2,3] => 0100110 => [1,1,2,2,1] => 611
[7,2,8,4,6,1,3,5] => 1010100 => [1,1,1,1,1,2] => 1023
[6,2,7,4,3,8,1,5] => 1011010 => [1,1,2,1,1,1] => 984
[1,7,8,4,6,2,3,5] => 0010100 => [2,1,1,1,2] => 603
[7,1,8,4,6,2,3,5] => 1010100 => [1,1,1,1,1,2] => 1023
[8,1,6,5,4,7,2,3] => 1011010 => [1,1,2,1,1,1] => 984
[4,1,6,8,7,3,2,5] => 1001110 => [1,2,3,1] => 262
[5,1,4,6,7,3,8,2] => 1000101 => [1,3,1,1,1] => 427
[7,1,3,4,6,2,8,5] => 1000101 => [1,3,1,1,1] => 427
[3,4,1,6,2,5,8,7,9] => 01010010 => [1,1,1,1,2,1,1] => 6264
[3,4,1,2,6,5,8,7,9] => 01001010 => [1,1,2,1,1,1,1] => 6040
[3,5,1,6,2,4,8,7,9] => 01010010 => [1,1,1,1,2,1,1] => 6264
[2,5,1,6,3,4,8,7,9] => 01010010 => [1,1,1,1,2,1,1] => 6264
[3,5,1,2,6,4,8,7,9] => 01001010 => [1,1,2,1,1,1,1] => 6040
[2,5,1,3,6,4,8,7,9] => 01001010 => [1,1,2,1,1,1,1] => 6040
[8,7,1,4,6,3,2,5] => 1100110 => [2,2,2,1] => 357
[6,5,2,8,4,7,1,3] => 1101010 => [2,1,1,1,1,1] => 969
[1,4,7,5,8,6,3,2] => 0010111 => [2,1,1,3] => 262
[6,1,8,3,4,7,2,5] => 1010010 => [1,1,1,2,1,1] => 1006
[1,8,6,3,5,2,7,4] => 0110101 => [1,2,1,1,1,1] => 969
[7,8,1,3,5,4,2,6] => 0100110 => [1,1,2,2,1] => 611
[4,7,1,6,8,3,5,2] => 0100101 => [1,1,2,1,1,1] => 984
[3,6,5,2,8,4,1,7] => 0110110 => [1,2,1,2,1] => 603
[8,2,5,6,3,1,7,4] => 1001101 => [1,2,2,1,1] => 594
[7,1,8,4,2,5,3,6] => 1011010 => [1,1,2,1,1,1] => 984
[1,4,8,7,5,2,6,3] => 0011101 => [2,3,1,1] => 256
[1,5,6,4,2,3,7,8] => 0011000 => [2,2,3] => 153
[5,8,7,4,2,1,3,6] => 0111100 => [1,4,2] => 85
[3,1,5,2,7,8,6,4] => 1010011 => [1,1,1,2,2] => 622
[1,8,7,3,2,5,4,6] => 0111010 => [1,3,1,1,1] => 427
[1,2,5,4,8,7,3,6] => 0010110 => [2,1,1,2,1] => 603
[1,2,4,8,6,3,5,7] => 0001100 => [3,2,2] => 153
[1,5,2,4,7,3,8,6] => 0100101 => [1,1,2,1,1,1] => 984
[8,6,3,5,7,4,1,2] => 1100110 => [2,2,2,1] => 357
[8,5,3,2,1,4,7,6] => 1111001 => [4,2,1] => 85
[1,2,7,6,8,4,3,5] => 0010110 => [2,1,1,2,1] => 603
[1,6,3,2,5,7,8,4] => 0110001 => [1,2,3,1] => 262
[1,7,3,4,2,6,8,5] => 0101001 => [1,1,1,1,2,1] => 1023
[1,6,3,5,8,4,2,7] => 0100110 => [1,1,2,2,1] => 611
[1,5,6,3,2,8,4,7] => 0011010 => [2,2,1,1,1] => 582
[1,2,5,8,4,6,3,7] => 0001010 => [3,1,1,1,1] => 427
[1,5,3,2,7,8,4,6] => 0110010 => [1,2,2,1,1] => 594
[4,1,8,6,2,3,7,5] => 1011001 => [1,1,2,2,1] => 611
[7,5,8,6,2,3,4,1] => 1011001 => [1,1,2,2,1] => 611
[1,7,6,4,3,8,5,2] => 0111011 => [1,3,1,2] => 259
[1,8,5,7,6,3,2,4] => 0101110 => [1,1,1,3,1] => 450
[1,4,7,3,6,8,5,2] => 0010011 => [2,1,2,2] => 363
[1,6,3,5,7,8,4,2] => 0100011 => [1,1,3,2] => 265
[1,5,6,3,2,7,8,4] => 0011001 => [2,2,2,1] => 357
[1,2,7,6,8,4,5,3] => 0010101 => [2,1,1,1,1,1] => 969
[1,8,4,7,5,3,2,6] => 0101110 => [1,1,1,3,1] => 450
[6,8,5,2,1,7,4,3] => 0111011 => [1,3,1,2] => 259
[1,2,6,8,4,3,7,5] => 0001101 => [3,2,1,1] => 256
[5,3,7,2,6,4,1,8] => 1010110 => [1,1,1,1,2,1] => 1023
[5,3,8,2,6,1,7,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,6,2,5,3,4,1,8] => 1101010 => [2,1,1,1,1,1] => 969
[7,6,2,4,5,3,1,8] => 1100110 => [2,2,2,1] => 357
[7,6,2,4,3,5,1,8] => 1101010 => [2,1,1,1,1,1] => 969
[7,6,2,3,5,4,1,8] => 1100110 => [2,2,2,1] => 357
[8,4,2,7,1,6,3,5] => 1101010 => [2,1,1,1,1,1] => 969
[8,7,6,1,5,3,2,4] => 1110110 => [3,1,2,1] => 259
[8,7,6,1,4,3,5,2] => 1110101 => [3,1,1,1,1] => 427
[8,7,6,1,3,5,4,2] => 1110011 => [3,2,2] => 153
[8,7,6,1,5,4,2,3] => 1110110 => [3,1,2,1] => 259
[8,6,2,7,1,5,3,4] => 1101010 => [2,1,1,1,1,1] => 969
[5,3,7,2,8,1,6,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,3,5,4,2,1,6,7] => 1011100 => [1,1,3,2] => 265
[7,8,4,3,1,5,2,6] => 0111010 => [1,3,1,1,1] => 427
[8,6,3,7,1,5,2,4] => 1101010 => [2,1,1,1,1,1] => 969
[8,7,6,1,2,5,3,4] => 1110010 => [3,2,1,1] => 256
[8,7,6,1,2,5,4,3] => 1110011 => [3,2,2] => 153
[8,7,6,1,4,2,5,3] => 1110101 => [3,1,1,1,1] => 427
[4,7,5,8,6,1,3,2] => 0101101 => [1,1,1,2,1,1] => 1006
[6,5,7,3,8,4,1,2] => 1010110 => [1,1,1,1,2,1] => 1023
[8,7,5,4,1,2,6,3] => 1111001 => [4,2,1] => 85
[8,6,7,1,5,3,2,4] => 1010110 => [1,1,1,1,2,1] => 1023
[7,5,6,1,3,4,2,8] => 1010010 => [1,1,1,2,1,1] => 1006
[5,7,8,1,3,4,2,6] => 0010010 => [2,1,2,1,1] => 594
[7,8,5,1,3,4,2,6] => 0110010 => [1,2,2,1,1] => 594
[5,7,8,3,4,6,1,2] => 0010010 => [2,1,2,1,1] => 594
[7,5,1,3,4,2,6,8] => 1100100 => [2,2,1,2] => 357
[5,7,1,3,4,2,8,6] => 0100101 => [1,1,2,1,1,1] => 984
[7,3,5,6,4,8,1,2] => 1001010 => [1,2,1,1,1,1] => 969
[1,7,3,8,2,5,6,4] => 0101001 => [1,1,1,1,2,1] => 1023
[1,5,3,7,8,4,6,2] => 0100101 => [1,1,2,1,1,1] => 984
[1,5,7,3,8,2,6,4] => 0010101 => [2,1,1,1,1,1] => 969
[7,1,5,3,6,2,4,8] => 1010100 => [1,1,1,1,1,2] => 1023
[1,7,3,5,8,4,2,6] => 0100110 => [1,1,2,2,1] => 611
[1,3,7,5,8,6,2,4] => 0010110 => [2,1,1,2,1] => 603
[1,7,8,5,3,6,2,4] => 0011010 => [2,2,1,1,1] => 582
[1,7,5,8,3,4,2,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[7,1,5,6,3,4,2,8] => 1001010 => [1,2,1,1,1,1] => 969
[7,3,5,6,4,1,2,8] => 1001100 => [1,2,2,2] => 363
[3,7,5,8,4,1,2,6] => 0101100 => [1,1,1,2,2] => 622
[7,5,6,8,1,3,4,2] => 1001001 => [1,2,1,2,1] => 603
[5,3,4,7,8,1,2,6] => 1000100 => [1,3,1,2] => 259
[5,3,7,6,8,1,2,4] => 1010100 => [1,1,1,1,1,2] => 1023
[3,7,1,2,5,8,4,6] => 0100010 => [1,1,3,1,1] => 439
[3,1,2,7,5,8,4,6] => 1001010 => [1,2,1,1,1,1] => 969
[3,1,2,5,7,8,6,4] => 1000011 => [1,4,2] => 85
[7,3,1,5,4,6,2,8] => 1101010 => [2,1,1,1,1,1] => 969
[7,3,5,1,2,6,4,8] => 1010010 => [1,1,1,2,1,1] => 1006
[3,7,1,2,8,5,6,4] => 0100101 => [1,1,2,1,1,1] => 984
[5,3,1,7,4,6,8,2] => 1101001 => [2,1,1,2,1] => 603
[5,3,7,1,2,6,8,4] => 1010001 => [1,1,1,3,1] => 450
[7,4,8,3,5,6,1,2] => 1010010 => [1,1,1,2,1,1] => 1006
[2,4,7,3,5,6,1,8] => 0010010 => [2,1,2,1,1] => 594
[5,7,6,4,2,3,1,8] => 0111010 => [1,3,1,1,1] => 427
[7,4,8,2,5,6,1,3] => 1010010 => [1,1,1,2,1,1] => 1006
[5,8,2,4,6,1,3,7] => 0100100 => [1,1,2,1,2] => 611
[6,1,4,8,5,2,7,3] => 1001101 => [1,2,2,1,1] => 594
[3,4,5,8,1,6,7,2] => 0001001 => [3,1,2,1] => 259
[6,8,7,4,2,1,5,3] => 0111101 => [1,4,1,1] => 145
[5,6,8,4,7,3,1,2] => 0010110 => [2,1,1,2,1] => 603
[3,1,6,8,5,2,7,4] => 1001101 => [1,2,2,1,1] => 594
[2,3,8,1,5,6,4,7] => 0010010 => [2,1,2,1,1] => 594
[5,4,8,1,2,6,7,3] => 1010001 => [1,1,1,3,1] => 450
[5,1,8,2,4,6,7,3] => 1010001 => [1,1,1,3,1] => 450
[4,1,8,2,3,6,7,5] => 1010001 => [1,1,1,3,1] => 450
[5,2,3,8,1,7,4,6] => 1001010 => [1,2,1,1,1,1] => 969
[2,3,5,7,1,6,4,8] => 0001010 => [3,1,1,1,1] => 427
[1,5,3,8,2,4,6,7] => 0101000 => [1,1,1,1,3] => 450
[8,6,2,7,5,1,4,3] => 1101101 => [2,1,2,1,1] => 594
[2,7,1,8,6,3,5,4] => 0101101 => [1,1,1,2,1,1] => 1006
[5,7,6,1,3,2,8,4] => 0110101 => [1,2,1,1,1,1] => 969
[3,5,4,6,1,7,8,2] => 0101001 => [1,1,1,1,2,1] => 1023
[8,1,5,4,6,3,7,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,4,2,5,6,3,7,1] => 1100101 => [2,2,1,1,1] => 582
[8,6,2,7,5,4,3,1] => 1101111 => [2,1,4] => 85
[5,4,7,2,8,6,1,3] => 1010110 => [1,1,1,1,2,1] => 1023
[3,5,6,4,1,7,2,8] => 0011010 => [2,2,1,1,1] => 582
[2,5,6,1,7,4,3,8] => 0010110 => [2,1,1,2,1] => 603
[2,7,1,8,6,5,4,3] => 0101111 => [1,1,1,4] => 148
[3,7,6,1,8,5,4,2] => 0110111 => [1,2,1,3] => 262
[8,6,4,2,1,3,5,7,9] => 11110000 => [4,4] => 70
[8,6,2,1,4,3,5,7,9] => 11101000 => [3,1,1,3] => 676
[8,4,2,1,6,3,5,7,9] => 11101000 => [3,1,1,3] => 676
[6,4,2,1,8,3,5,7,9] => 11101000 => [3,1,1,3] => 676
[8,6,4,2,9,1,3,5,7] => 11101000 => [3,1,1,3] => 676
[9,6,4,2,7,1,3,5,8] => 11101000 => [3,1,1,3] => 676
[9,7,4,2,5,1,3,6,8] => 11101000 => [3,1,1,3] => 676
[9,7,5,2,3,1,4,6,8] => 11101000 => [3,1,1,3] => 676
[9,7,5,3,1,2,4,6,8] => 11110000 => [4,4] => 70
[8,2,1,4,3,6,5,7,9] => 11010100 => [2,1,1,1,1,2] => 3696
[4,2,1,6,3,5,8,7,9] => 11010010 => [2,1,1,2,1,1] => 3652
[6,4,2,1,8,3,5,9,7] => 11101001 => [3,1,1,2,1] => 1576
[6,4,2,7,1,3,5,8,9] => 11010000 => [2,1,1,4] => 534
[6,2,8,3,1,4,5,7] => 1011000 => [1,1,2,3] => 265
[8,9,4,2,5,1,3,6,7] => 01101000 => [1,2,1,1,3] => 1612
[2,7,8,3,1,4,5,6] => 0011000 => [2,2,3] => 153
[9,6,7,2,3,1,4,5,8] => 10101000 => [1,1,1,1,1,3] => 2790
[9,7,4,5,1,2,3,6,8] => 11010000 => [2,1,1,4] => 534
[1,5,3,2,8,6,7,4] => 0110101 => [1,2,1,1,1,1] => 969
[1,8,5,3,2,6,7,4] => 0111001 => [1,3,2,1] => 259
[1,7,8,5,6,3,2,4] => 0010110 => [2,1,1,2,1] => 603
[1,5,6,7,3,2,8,4] => 0001101 => [3,2,1,1] => 256
[1,7,5,2,3,4,8,6] => 0110001 => [1,2,3,1] => 262
[1,7,5,2,4,8,6,3] => 0110011 => [1,2,2,2] => 363
[1,6,7,8,3,2,4,5] => 0001100 => [3,2,2] => 153
[1,4,8,6,2,3,5,7] => 0011000 => [2,2,3] => 153
[1,8,4,5,6,7,2,3] => 0100010 => [1,1,3,1,1] => 439
[1,2,8,6,3,4,5,7] => 0011000 => [2,2,3] => 153
[1,2,8,6,3,5,7,4] => 0011001 => [2,2,2,1] => 357
[1,2,7,8,4,3,5,6] => 0001100 => [3,2,2] => 153
[1,8,6,7,4,2,3,5] => 0101100 => [1,1,1,2,2] => 622
[1,6,7,8,4,2,3,5] => 0001100 => [3,2,2] => 153
[1,6,7,8,3,4,2,5] => 0001010 => [3,1,1,1,1] => 427
[1,7,4,2,3,8,5,6] => 0110010 => [1,2,2,1,1] => 594
[1,7,8,4,2,3,5,6] => 0011000 => [2,2,3] => 153
[1,7,3,5,6,2,8,4] => 0100101 => [1,1,2,1,1,1] => 984
[1,7,8,3,4,2,5,6] => 0010100 => [2,1,1,1,2] => 603
[1,2,3,7,8,5,4,6] => 0000110 => [4,2,1] => 85
[1,2,7,4,6,3,8,5] => 0010101 => [2,1,1,1,1,1] => 969
[1,7,4,5,2,3,8,6] => 0101001 => [1,1,1,1,2,1] => 1023
[1,7,8,4,5,2,3,6] => 0010100 => [2,1,1,1,2] => 603
[1,7,8,3,4,5,2,6] => 0010010 => [2,1,2,1,1] => 594
[1,2,8,4,5,6,3,7] => 0010010 => [2,1,2,1,1] => 594
[1,8,4,5,6,2,3,7] => 0100100 => [1,1,2,1,2] => 611
[5,8,2,7,3,4,1,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[6,8,7,2,3,4,1,5] => 0110010 => [1,2,2,1,1] => 594
[3,8,7,5,2,6,1,4] => 0111010 => [1,3,1,1,1] => 427
[4,8,7,3,2,5,1,6] => 0111010 => [1,3,1,1,1] => 427
[5,3,8,1,6,7,4,2] => 1010011 => [1,1,1,2,2] => 622
[5,8,2,1,3,7,6,4] => 0110011 => [1,2,2,2] => 363
[5,1,8,2,6,4,7,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,1,8,3,6,7,4,2] => 1010011 => [1,1,1,2,2] => 622
[3,1,8,4,6,2,7,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,4,1,6,5,2,3,7] => 1101100 => [2,1,2,2] => 363
[1,8,7,6,4,3,5,2] => 0111101 => [1,4,1,1] => 145
[6,1,8,7,5,3,4,2] => 1011101 => [1,1,3,1,1] => 439
[6,8,7,3,2,4,1,5] => 0111010 => [1,3,1,1,1] => 427
[2,3,7,5,6,8,4,1] => 0010011 => [2,1,2,2] => 363
[3,2,4,7,5,8,1,6] => 1001010 => [1,2,1,1,1,1] => 969
[2,8,7,6,4,5,1,3] => 0111010 => [1,3,1,1,1] => 427
[4,8,7,6,3,1,5,2] => 0111101 => [1,4,1,1] => 145
[3,5,2,4,7,6,8,1] => 0100101 => [1,1,2,1,1,1] => 984
[5,3,2,6,4,7,8,1] => 1101001 => [2,1,1,2,1] => 603
[5,3,2,6,7,4,8,1] => 1100101 => [2,2,1,1,1] => 582
[5,3,2,7,6,4,8,1] => 1101101 => [2,1,2,1,1] => 594
[7,3,5,2,8,4,6,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[3,5,2,7,4,6,8,1] => 0101001 => [1,1,1,1,2,1] => 1023
[3,2,5,7,4,6,8,1] => 1001001 => [1,2,1,2,1] => 603
[3,2,7,5,4,8,6,1] => 1011011 => [1,1,2,1,2] => 611
[3,7,5,2,4,8,6,1] => 0110011 => [1,2,2,2] => 363
[2,3,7,5,4,8,6,1] => 0011011 => [2,2,1,2] => 357
[8,3,5,1,6,4,7,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,4,5,6,1,3,7,2] => 1001001 => [1,2,1,2,1] => 603
[3,4,7,6,8,2,5,1] => 0010101 => [2,1,1,1,1,1] => 969
[5,2,8,4,1,3,6,7] => 1011000 => [1,1,2,3] => 265
[3,8,5,2,1,4,6,7] => 0111000 => [1,3,3] => 110
[7,6,4,1,8,2,5,3] => 1110101 => [3,1,1,1,1] => 427
[7,5,4,2,1,6,3,8] => 1111010 => [4,1,1,1] => 145
[8,1,6,7,3,4,2,5] => 1001010 => [1,2,1,1,1,1] => 969
[8,2,1,6,7,4,3,5] => 1100110 => [2,2,2,1] => 357
[5,2,8,6,3,7,1,4] => 1011010 => [1,1,2,1,1,1] => 984
[7,6,8,1,2,5,4,3] => 1010011 => [1,1,1,2,2] => 622
[1,2,9,3,4,5,6,8,7] => 00100001 => [2,1,4,1] => 534
[1,2,3,8,4,5,9,6,7] => 00010010 => [3,1,2,1,1] => 1560
[1,2,3,4,9,5,6,8,7] => 00001001 => [4,1,2,1] => 526
[2,1,3,4,8,5,7,6] => 1000101 => [1,3,1,1,1] => 427
[1,2,3,4,5,9,6,8,7] => 00000101 => [5,1,1,1] => 240
[7,1,2,3,4,8,5,9,6] => 10000101 => [1,4,1,1,1] => 888
[6,9,1,2,3,4,8,5,7] => 01000010 => [1,1,4,1,1] => 912
[5,1,9,2,3,4,8,6,7] => 10100010 => [1,1,1,3,1,1] => 2732
[4,1,2,3,5,8,6,9,7] => 10000101 => [1,4,1,1,1] => 888
[3,1,2,4,9,5,8,6,7] => 10001010 => [1,3,1,1,1,1] => 2592
[2,1,3,4,5,9,6,8,7] => 10000101 => [1,4,1,1,1] => 888
[1,7,2,3,4,5,9,8,6] => 01000011 => [1,1,4,2] => 538
[1,6,2,3,4,5,9,8,7] => 01000011 => [1,1,4,2] => 538
[6,1,2,3,7,4,8,9,5] => 10001001 => [1,3,1,2,1] => 1576
[5,7,1,2,6,8,3,4] => 0100010 => [1,1,3,1,1] => 439
[1,2,3,8,5,4,6,9,7] => 00011001 => [3,2,2,1] => 924
[5,9,1,2,6,3,4,8,7] => 01001001 => [1,1,2,1,2,1] => 3732
[1,4,2,3,5,6,9,8,7] => 01000011 => [1,1,4,2] => 538
[1,5,2,3,6,8,7,4] => 0100011 => [1,1,3,2] => 265
[4,1,9,5,2,3,6,8,7] => 10110001 => [1,1,2,3,1] => 1626
[1,3,2,4,5,6,9,8,7] => 01000011 => [1,1,4,2] => 538
[3,4,1,2,5,6,8,9,7] => 01000001 => [1,1,5,1] => 244
[2,3,1,4,9,5,6,8,7] => 01001001 => [1,1,2,1,2,1] => 3732
[3,5,7,4,1,8,2,6] => 0011010 => [2,2,1,1,1] => 582
[8,6,4,7,5,1,2,3] => 1101100 => [2,1,2,2] => 363
[8,6,4,1,2,5,3,7] => 1110010 => [3,2,1,1] => 256
[2,8,4,3,1,6,5,7] => 0111010 => [1,3,1,1,1] => 427
[3,8,4,6,1,5,2,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[8,3,5,6,1,4,7,2] => 1001001 => [1,2,1,2,1] => 603
[6,8,7,3,5,4,2,1] => 0110111 => [1,2,1,3] => 262
[3,1,2,8,5,7,4,6] => 1001010 => [1,2,1,1,1,1] => 969
[8,1,2,3,4,6,9,5,7] => 10000010 => [1,5,1,1] => 240
[8,1,2,4,6,9,3,5,7] => 10000100 => [1,4,1,2] => 526
[6,1,2,3,4,5,9,8,7] => 10000011 => [1,5,2] => 138
[5,1,2,3,4,8,6,9,7] => 10000101 => [1,4,1,1,1] => 888
[4,1,2,3,9,6,8,5,7] => 10001010 => [1,3,1,1,1,1] => 2592
[7,3,1,2,5,8,4,6] => 1100010 => [2,3,1,1] => 256
[3,1,2,8,4,6,9,5,7] => 10010010 => [1,2,1,2,1,1] => 3652
[8,3,5,7,2,1,4,6] => 1001100 => [1,2,2,2] => 363
[2,1,3,8,5,7,4,6] => 1001010 => [1,2,1,1,1,1] => 969
[2,1,9,4,6,8,3,5,7] => 10100100 => [1,1,1,2,1,2] => 3790
[1,8,2,4,6,9,3,5,7] => 01000100 => [1,1,3,1,2] => 1608
[7,3,1,2,8,4,5,6] => 1100100 => [2,2,1,2] => 357
[2,1,4,7,6,3,5,8] => 1001100 => [1,2,2,2] => 363
[7,2,4,5,3,8,1,6] => 1001010 => [1,2,1,1,1,1] => 969
[8,4,2,5,6,7,3,1] => 1100011 => [2,3,2] => 153
[5,4,1,6,3,7,8,2] => 1101001 => [2,1,1,2,1] => 603
[4,5,1,3,6,7,8,2] => 0100001 => [1,1,4,1] => 148
[5,1,7,6,3,4,8,2] => 1011001 => [1,1,2,2,1] => 611
[6,1,7,5,4,8,2,3] => 1011010 => [1,1,2,1,1,1] => 984
[3,7,2,1,6,8,4,5] => 0110010 => [1,2,2,1,1] => 594
[1,5,8,2,4,7,6,3] => 0010011 => [2,1,2,2] => 363
[5,8,1,6,4,7,3,2] => 0101011 => [1,1,1,1,1,2] => 1023
[3,8,6,5,7,2,4,1] => 0110101 => [1,2,1,1,1,1] => 969
[6,8,1,4,7,3,5,2] => 0100101 => [1,1,2,1,1,1] => 984
[1,6,8,2,7,4,5,3] => 0010101 => [2,1,1,1,1,1] => 969
[5,7,2,1,8,4,3,6] => 0110110 => [1,2,1,2,1] => 603
[5,7,1,6,8,3,2,4] => 0100110 => [1,1,2,2,1] => 611
[5,6,2,1,8,3,4,7] => 0110100 => [1,2,1,1,2] => 603
[6,4,1,7,3,8,2,5] => 1101010 => [2,1,1,1,1,1] => 969
[8,2,5,6,7,1,4,3] => 1000101 => [1,3,1,1,1] => 427
[7,2,4,6,8,3,1,5] => 1000110 => [1,3,2,1] => 259
[6,2,4,7,8,1,3,5] => 1000100 => [1,3,1,2] => 259
[6,1,4,3,2,8,5,7] => 1011010 => [1,1,2,1,1,1] => 984
[2,7,4,8,6,1,5,3] => 0101101 => [1,1,1,2,1,1] => 1006
[2,4,8,6,5,7,3,1] => 0011011 => [2,2,1,2] => 357
[3,7,8,6,4,2,5,1] => 0011101 => [2,3,1,1] => 256
[6,2,8,4,7,5,1,3] => 1010110 => [1,1,1,1,2,1] => 1023
[4,5,7,3,6,8,1,2] => 0010010 => [2,1,2,1,1] => 594
[3,4,7,8,6,5,1,2] => 0001110 => [3,3,1] => 110
[1,4,7,2,6,8,5,3] => 0010011 => [2,1,2,2] => 363
[2,3,7,6,5,1,4,8] => 0011100 => [2,3,2] => 153
[3,2,7,6,4,1,5,8] => 1011100 => [1,1,3,2] => 265
[6,2,3,5,7,1,4,8] => 1000100 => [1,3,1,2] => 259
[7,8,1,2,5,6,4,3] => 0100011 => [1,1,3,2] => 265
[7,1,3,6,8,5,2,4] => 1000110 => [1,3,2,1] => 259
[4,2,8,5,1,6,3,7] => 1011010 => [1,1,2,1,1,1] => 984
[6,5,8,1,4,2,3,7] => 1010100 => [1,1,1,1,1,2] => 1023
[3,8,2,4,5,1,6,7] => 0100100 => [1,1,2,1,2] => 611
[3,6,2,4,1,5,7,8] => 0101000 => [1,1,1,1,3] => 450
[2,3,8,4,1,6,5,7] => 0011010 => [2,2,1,1,1] => 582
[4,5,7,3,1,6,2,8] => 0011010 => [2,2,1,1,1] => 582
[2,3,1,4,8,5,7,6] => 0100101 => [1,1,2,1,1,1] => 984
[4,2,6,1,5,8,7,3] => 1010011 => [1,1,1,2,2] => 622
[7,5,1,8,4,3,6,2] => 1101101 => [2,1,2,1,1] => 594
[3,1,8,5,7,6,4,2] => 1010111 => [1,1,1,1,3] => 450
[5,1,8,7,4,6,3,2] => 1011011 => [1,1,2,1,2] => 611
[2,4,8,7,5,1,3,6] => 0011100 => [2,3,2] => 153
[3,5,7,6,1,8,4,2] => 0011011 => [2,2,1,2] => 357
[3,5,7,6,2,8,4,1] => 0011011 => [2,2,1,2] => 357
[1,5,3,2,8,7,6,4] => 0110111 => [1,2,1,3] => 262
[6,1,4,3,8,7,5,2] => 1010111 => [1,1,1,1,3] => 450
[6,3,1,8,7,4,2,5] => 1101110 => [2,1,3,1] => 262
[5,3,6,2,8,7,4,1] => 1010111 => [1,1,1,1,3] => 450
[6,3,5,2,1,8,7,4] => 1011011 => [1,1,2,1,2] => 611
[2,8,4,1,3,7,6,5] => 0110011 => [1,2,2,2] => 363
[3,8,1,4,7,6,5,2] => 0100111 => [1,1,2,3] => 265
[6,2,3,8,7,5,4,1] => 1001111 => [1,2,4] => 85
[4,1,3,5,8,7,6,2] => 1000111 => [1,3,3] => 110
[3,4,7,5,8,1,2,6] => 0010100 => [2,1,1,1,2] => 603
[2,7,8,3,4,1,5,6] => 0010100 => [2,1,1,1,2] => 603
[2,8,6,7,5,4,3,1] => 0101111 => [1,1,1,4] => 148
[7,2,6,8,1,4,3,5] => 1001010 => [1,2,1,1,1,1] => 969
[5,3,6,2,8,4,7,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,1,6,3,7,4,5,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[2,4,3,7,1,8,6,5] => 0101011 => [1,1,1,1,1,2] => 1023
[2,6,5,7,3,8,4,1] => 0101011 => [1,1,1,1,1,2] => 1023
[6,8,2,7,4,1,5,3] => 0101101 => [1,1,1,2,1,1] => 1006
[6,1,7,8,5,3,2,4] => 1001110 => [1,2,3,1] => 262
[2,6,5,4,7,1,8,3] => 0110101 => [1,2,1,1,1,1] => 969
[5,8,3,4,6,1,7,2] => 0100101 => [1,1,2,1,1,1] => 984
[6,1,7,4,2,5,8,3] => 1011001 => [1,1,2,2,1] => 611
[6,8,7,1,5,4,2,3] => 0110110 => [1,2,1,2,1] => 603
[4,8,3,1,5,7,6,2] => 0110011 => [1,2,2,2] => 363
[5,3,8,2,7,1,6,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,3,4,5,2,7,1,6] => 1001010 => [1,2,1,1,1,1] => 969
[8,2,6,7,1,5,3,4] => 1001010 => [1,2,1,1,1,1] => 969
[7,1,5,2,6,3,4,8] => 1010100 => [1,1,1,1,1,2] => 1023
[3,7,1,5,2,6,8,4] => 0101001 => [1,1,1,1,2,1] => 1023
[6,7,1,8,3,4,5,2] => 0101001 => [1,1,1,1,2,1] => 1023
[3,7,1,6,8,4,5,2] => 0100101 => [1,1,2,1,1,1] => 984
[3,8,5,2,6,7,1,4] => 0110010 => [1,2,2,1,1] => 594
[3,6,5,2,7,1,4,8] => 0110100 => [1,2,1,1,2] => 603
[6,8,3,4,7,1,5,2] => 0100101 => [1,1,2,1,1,1] => 984
[3,7,1,6,5,2,8,4] => 0101101 => [1,1,1,2,1,1] => 1006
[8,3,5,2,7,1,6,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[3,8,6,4,7,1,5,2] => 0110101 => [1,2,1,1,1,1] => 969
[3,7,1,4,8,6,5,2] => 0100111 => [1,1,2,3] => 265
[3,7,1,4,5,2,8,6] => 0100101 => [1,1,2,1,1,1] => 984
[2,3,7,6,5,8,1,4] => 0011010 => [2,2,1,1,1] => 582
[4,3,5,6,7,8,9,1,2] => 10000010 => [1,5,1,1] => 240
[6,7,8,5,4,3,2,1,9] => 00111110 => [2,5,1] => 138
[6,5,7,8,4,3,2,1,9] => 10011110 => [1,2,4,1] => 534
[6,5,4,7,8,3,2,1,9] => 11001110 => [2,2,3,1] => 934
[6,5,4,3,7,8,2,1,9] => 11100110 => [3,2,2,1] => 924
[6,5,4,3,2,7,8,1,9] => 11110010 => [4,2,1,1] => 522
[7,8,9,5,4,3,2,1,6] => 00111110 => [2,5,1] => 138
[6,7,8,9,4,3,2,1,5] => 00011110 => [3,4,1] => 220
[6,5,7,8,9,3,2,1,4] => 10001110 => [1,3,3,1] => 676
[6,5,4,7,8,9,2,1,3] => 11000110 => [2,3,2,1] => 924
[6,5,4,3,7,8,9,1,2] => 11100010 => [3,3,1,1] => 664
[6,5,4,3,2,7,8,9,1] => 11110001 => [4,3,1] => 220
[3,5,7,6,8,2,1,4] => 0010110 => [2,1,1,2,1] => 603
[4,2,5,3,7,6,1,8] => 1010110 => [1,1,1,1,2,1] => 1023
[6,2,4,3,7,5,1,8] => 1010110 => [1,1,1,1,2,1] => 1023
[1,3,6,4,7,5,2,8] => 0010110 => [2,1,1,2,1] => 603
[8,2,5,3,6,4,1,7] => 1010110 => [1,1,1,1,2,1] => 1023
[7,2,5,3,6,4,1,8] => 1010110 => [1,1,1,1,2,1] => 1023
[6,2,5,3,7,4,1,8] => 1010110 => [1,1,1,1,2,1] => 1023
[4,2,6,3,7,5,1,8] => 1010110 => [1,1,1,1,2,1] => 1023
[5,2,7,3,6,4,1,8] => 1010110 => [1,1,1,1,2,1] => 1023
[7,3,6,2,5,4,1,8] => 1010110 => [1,1,1,1,2,1] => 1023
[6,3,8,2,5,4,1,7] => 1010110 => [1,1,1,1,2,1] => 1023
[7,3,1,4,6,5,2,8] => 1100110 => [2,2,2,1] => 357
[8,3,7,2,5,4,1,6] => 1010110 => [1,1,1,1,2,1] => 1023
[5,2,8,3,6,4,1,7] => 1010110 => [1,1,1,1,2,1] => 1023
[3,2,8,4,6,5,1,7] => 1010110 => [1,1,1,1,2,1] => 1023
[1,4,7,3,6,5,2,8] => 0010110 => [2,1,1,2,1] => 603
[8,2,5,4,1,6,3,7] => 1011010 => [1,1,2,1,1,1] => 984
[8,2,6,4,1,5,3,7] => 1011010 => [1,1,2,1,1,1] => 984
[1,4,8,3,7,5,2,6] => 0010110 => [2,1,1,2,1] => 603
[6,2,1,4,8,5,3,7] => 1100110 => [2,2,2,1] => 357
[5,2,1,4,8,6,3,7] => 1100110 => [2,2,2,1] => 357
[3,2,1,5,8,6,4,7] => 1100110 => [2,2,2,1] => 357
[4,2,8,3,7,5,1,6] => 1010110 => [1,1,1,1,2,1] => 1023
[5,2,8,3,7,4,1,6] => 1010110 => [1,1,1,1,2,1] => 1023
[8,3,7,2,6,4,1,5] => 1010110 => [1,1,1,1,2,1] => 1023
[7,3,1,4,8,5,2,6] => 1100110 => [2,2,2,1] => 357
[1,3,7,4,8,5,2,6] => 0010110 => [2,1,1,2,1] => 603
[8,2,6,3,7,4,1,5] => 1010110 => [1,1,1,1,2,1] => 1023
[7,2,6,3,8,4,1,5] => 1010110 => [1,1,1,1,2,1] => 1023
[5,2,7,3,8,4,1,6] => 1010110 => [1,1,1,1,2,1] => 1023
[3,2,7,4,8,5,1,6] => 1010110 => [1,1,1,1,2,1] => 1023
[5,2,6,3,8,4,1,7] => 1010110 => [1,1,1,1,2,1] => 1023
[6,2,5,3,8,4,1,7] => 1010110 => [1,1,1,1,2,1] => 1023
[7,2,5,3,8,4,1,6] => 1010110 => [1,1,1,1,2,1] => 1023
[8,2,5,3,7,4,1,6] => 1010110 => [1,1,1,1,2,1] => 1023
[1,3,6,4,8,5,2,7] => 0010110 => [2,1,1,2,1] => 603
[1,3,5,4,8,6,2,7] => 0010110 => [2,1,1,2,1] => 603
[8,2,4,3,7,5,1,6] => 1010110 => [1,1,1,1,2,1] => 1023
[7,2,4,3,8,5,1,6] => 1010110 => [1,1,1,1,2,1] => 1023
[6,2,4,3,8,5,1,7] => 1010110 => [1,1,1,1,2,1] => 1023
[5,2,4,3,8,6,1,7] => 1010110 => [1,1,1,1,2,1] => 1023
[4,2,5,3,8,6,1,7] => 1010110 => [1,1,1,1,2,1] => 1023
[4,2,5,3,1,7,6,8] => 1011010 => [1,1,2,1,1,1] => 984
[6,2,4,3,1,7,5,8] => 1011010 => [1,1,2,1,1,1] => 984
[7,2,4,3,1,6,5,8] => 1011010 => [1,1,2,1,1,1] => 984
[8,5,1,3,6,4,2,7] => 1100110 => [2,2,2,1] => 357
[8,4,1,3,6,5,2,7] => 1100110 => [2,2,2,1] => 357
[1,5,2,4,7,6,3,8] => 0100110 => [1,1,2,2,1] => 611
[7,2,5,3,1,6,4,8] => 1011010 => [1,1,2,1,1,1] => 984
[6,2,5,3,1,7,4,8] => 1011010 => [1,1,2,1,1,1] => 984
[4,2,6,3,1,7,5,8] => 1011010 => [1,1,2,1,1,1] => 984
[3,2,6,4,1,7,5,8] => 1011010 => [1,1,2,1,1,1] => 984
[3,2,7,4,1,6,5,8] => 1011010 => [1,1,2,1,1,1] => 984
[4,2,7,3,1,6,5,8] => 1011010 => [1,1,2,1,1,1] => 984
[5,2,7,3,1,6,4,8] => 1011010 => [1,1,2,1,1,1] => 984
[6,2,7,3,1,5,4,8] => 1011010 => [1,1,2,1,1,1] => 984
[7,2,6,3,1,5,4,8] => 1011010 => [1,1,2,1,1,1] => 984
[1,5,2,4,8,6,3,7] => 0100110 => [1,1,2,2,1] => 611
[8,4,1,3,7,5,2,6] => 1100110 => [2,2,2,1] => 357
[6,2,1,5,3,7,4,8] => 1101010 => [2,1,1,1,1,1] => 969
[3,2,1,6,4,7,5,8] => 1101010 => [2,1,1,1,1,1] => 969
[3,2,8,5,1,6,4,7] => 1011010 => [1,1,2,1,1,1] => 984
[6,2,8,4,1,5,3,7] => 1011010 => [1,1,2,1,1,1] => 984
[8,3,7,4,1,5,2,6] => 1011010 => [1,1,2,1,1,1] => 984
[7,1,3,2,5,6,4,8] => 1010010 => [1,1,1,2,1,1] => 1006
[6,3,5,2,4,8,1,7] => 1010010 => [1,1,1,2,1,1] => 1006
[1,5,2,8,7,4,3,6] => 0101110 => [1,1,1,3,1] => 450
[5,7,2,8,1,4,3,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,8,3,1,5,2,7,6] => 0110101 => [1,2,1,1,1,1] => 969
[7,1,5,3,2,6,8,4] => 1011001 => [1,1,2,2,1] => 611
[3,1,5,7,8,6,2,4] => 1000110 => [1,3,2,1] => 259
[8,7,6,5,3,2,1,4,9] => 11111100 => [6,2] => 28
[8,7,6,4,3,2,1,5,9] => 11111100 => [6,2] => 28
[8,7,5,4,3,2,1,6,9] => 11111100 => [6,2] => 28
[8,7,6,5,4,1,2,3,9] => 11111000 => [5,3] => 56
[8,7,6,5,2,3,1,4,9] => 11110100 => [4,1,1,2] => 526
[8,7,6,3,4,2,1,5,9] => 11101100 => [3,1,2,2] => 936
[8,7,4,5,3,2,1,6,9] => 11011100 => [2,1,3,2] => 946
[8,5,6,4,3,2,1,7,9] => 10111100 => [1,1,4,2] => 538
[6,7,5,4,3,2,1,8,9] => 01111100 => [1,5,2] => 138
[8,6,2,3,1,5,7,4] => 1101001 => [2,1,1,2,1] => 603
[2,5,1,7,4,8,6,3] => 0101011 => [1,1,1,1,1,2] => 1023
[8,6,7,3,5,2,1,4] => 1010110 => [1,1,1,1,2,1] => 1023
[1,4,2,7,3,6,8,5] => 0101001 => [1,1,1,1,2,1] => 1023
[3,2,1,7,8,5,4,6] => 1100110 => [2,2,2,1] => 357
[7,3,4,2,1,5,8,6] => 1011001 => [1,1,2,2,1] => 611
[1,7,6,3,2,4,8,5] => 0111001 => [1,3,2,1] => 259
[2,1,6,4,7,8,5,3] => 1010011 => [1,1,1,2,2] => 622
[1,6,3,2,4,7,8,5] => 0110001 => [1,2,3,1] => 262
[1,2,3,7,5,8,4,6] => 0001010 => [3,1,1,1,1] => 427
[1,8,5,3,2,4,7,6] => 0111001 => [1,3,2,1] => 259
[4,7,8,1,5,6,2,3] => 0010010 => [2,1,2,1,1] => 594
[3,6,7,1,8,4,2,5] => 0010110 => [2,1,1,2,1] => 603
[1,3,7,6,2,4,5,8] => 0011000 => [2,2,3] => 153
[2,7,3,8,4,5,6,1] => 0101001 => [1,1,1,1,2,1] => 1023
[7,1,4,3,8,5,6,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,6,2,7,8,3,4,1] => 0100101 => [1,1,2,1,1,1] => 984
[7,4,1,8,5,6,2,3] => 1101010 => [2,1,1,1,1,1] => 969
[7,2,5,8,1,6,3,4] => 1001010 => [1,2,1,1,1,1] => 969
[6,4,8,1,5,7,2,3] => 1010010 => [1,1,1,2,1,1] => 1006
[2,7,4,1,3,6,8,5] => 0110001 => [1,2,3,1] => 262
[5,2,1,8,4,6,7,3] => 1101001 => [2,1,1,2,1] => 603
[6,2,1,4,7,5,8,3] => 1100101 => [2,2,1,1,1] => 582
[6,8,7,9,5,4,3,2,1] => 01011111 => [1,1,1,5] => 244
[5,8,7,6,9,4,3,2,1] => 01101111 => [1,2,1,4] => 534
[4,8,7,6,5,9,3,2,1] => 01110111 => [1,3,1,3] => 676
[3,8,7,6,5,4,9,2,1] => 01111011 => [1,4,1,2] => 526
[2,8,7,6,5,4,3,9,1] => 01111101 => [1,5,1,1] => 240
[1,2,8,4,6,3,5,7] => 0010100 => [2,1,1,1,2] => 603
[2,6,1,5,4,7,3,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,2,8,5,4,6,3,7] => 0011010 => [2,2,1,1,1] => 582
[1,3,6,8,4,5,7,2] => 0001001 => [3,1,2,1] => 259
[1,2,8,4,6,3,7,5] => 0010101 => [2,1,1,1,1,1] => 969
[4,6,3,5,7,8,1,2] => 0100010 => [1,1,3,1,1] => 439
[2,7,6,5,1,4,8,3] => 0111001 => [1,3,2,1] => 259
[2,7,4,8,1,3,6,5] => 0101001 => [1,1,1,1,2,1] => 1023
[2,3,6,8,4,1,7,5] => 0001101 => [3,2,1,1] => 256
[1,2,6,8,4,7,5,3] => 0001011 => [3,1,1,2] => 259
[1,7,2,8,6,3,5,4] => 0101101 => [1,1,1,2,1,1] => 1006
[2,3,8,5,4,7,1,6] => 0011010 => [2,2,1,1,1] => 582
[1,2,8,4,7,3,5,6] => 0010100 => [2,1,1,1,2] => 603
[2,6,1,4,8,3,7,5] => 0100101 => [1,1,2,1,1,1] => 984
[3,7,6,5,2,1,4,8] => 0111100 => [1,4,2] => 85
[2,5,6,1,4,8,7,3] => 0010011 => [2,1,2,2] => 363
[8,4,2,3,7,1,6,5] => 1100101 => [2,2,1,1,1] => 582
[5,2,4,8,7,3,1,6] => 1001110 => [1,2,3,1] => 262
[3,2,4,6,7,8,1,5] => 1000010 => [1,4,1,1] => 145
[5,2,6,8,1,3,7,4] => 1001001 => [1,2,1,2,1] => 603
[4,8,1,6,3,7,5,2] => 0101011 => [1,1,1,1,1,2] => 1023
[7,1,5,2,6,4,3,8] => 1010110 => [1,1,1,1,2,1] => 1023
[8,3,5,2,6,1,4,7] => 1010100 => [1,1,1,1,1,2] => 1023
[1,8,5,6,2,7,4,3] => 0101011 => [1,1,1,1,1,2] => 1023
[4,2,7,6,1,8,5,3] => 1011011 => [1,1,2,1,2] => 611
[7,2,4,8,6,3,5,1] => 1001101 => [1,2,2,1,1] => 594
[7,3,2,1,8,5,4,6] => 1110110 => [3,1,2,1] => 259
[7,3,2,1,6,4,8,5] => 1110101 => [3,1,1,1,1] => 427
[3,6,5,2,1,8,4,7] => 0111010 => [1,3,1,1,1] => 427
[6,7,2,4,3,5,8,1] => 0101001 => [1,1,1,1,2,1] => 1023
[4,5,3,7,2,1,6,8] => 0101100 => [1,1,1,2,2] => 622
[4,3,8,2,1,5,7,6] => 1011001 => [1,1,2,2,1] => 611
[4,3,2,8,1,6,7,5] => 1101001 => [2,1,1,2,1] => 603
[4,5,8,3,2,7,1,6] => 0011010 => [2,2,1,1,1] => 582
[6,8,5,2,7,3,4,1] => 0110101 => [1,2,1,1,1,1] => 969
[5,4,7,8,2,3,6,1] => 1001001 => [1,2,1,2,1] => 603
[4,3,8,2,1,6,7,5] => 1011001 => [1,1,2,2,1] => 611
[1,9,2,4,5,6,7,8,3] => 01000001 => [1,1,5,1] => 244
[9,1,3,4,5,6,7,8,2] => 10000001 => [1,6,1] => 50
[3,5,7,4,6,2,8,1] => 0010101 => [2,1,1,1,1,1] => 969
[5,3,7,6,2,4,8,1] => 1011001 => [1,1,2,2,1] => 611
[4,6,7,2,5,3,8,1] => 0010101 => [2,1,1,1,1,1] => 969
[6,4,7,8,3,1,5,2] => 1001101 => [1,2,2,1,1] => 594
[8,4,7,3,1,5,6,2] => 1011001 => [1,1,2,2,1] => 611
[5,8,1,7,6,4,2,3] => 0101110 => [1,1,1,3,1] => 450
[5,6,7,1,8,3,4,2] => 0010101 => [2,1,1,1,1,1] => 969
[7,1,8,6,2,5,4,3] => 1011011 => [1,1,2,1,2] => 611
[8,5,1,7,6,4,2,3] => 1101110 => [2,1,3,1] => 262
[1,5,8,2,6,4,7,3] => 0010101 => [2,1,1,1,1,1] => 969
[1,5,7,4,6,8,3,2] => 0010011 => [2,1,2,2] => 363
[1,4,7,5,6,8,3,2] => 0010011 => [2,1,2,2] => 363
[5,6,7,4,8,1,3,2] => 0010101 => [2,1,1,1,1,1] => 969
[8,1,2,6,4,5,7,3] => 1001001 => [1,2,1,2,1] => 603
[4,8,1,7,2,5,6,3] => 0101001 => [1,1,1,1,2,1] => 1023
[2,6,7,1,5,4,8,3] => 0010101 => [2,1,1,1,1,1] => 969
[3,2,7,6,5,8,1,4] => 1011010 => [1,1,2,1,1,1] => 984
[1,7,3,4,5,8,2,6] => 0100010 => [1,1,3,1,1] => 439
[7,1,8,4,5,6,3,2] => 1010011 => [1,1,1,2,2] => 622
[1,8,3,4,5,6,9,2,7] => 01000010 => [1,1,4,1,1] => 912
[8,2,3,4,5,1,9,7,6] => 10001011 => [1,3,1,1,2] => 1576
[1,2,7,4,5,8,3,6] => 0010010 => [2,1,2,1,1] => 594
[8,1,9,4,5,6,7,3,2] => 10100011 => [1,1,1,3,2] => 1648
[7,9,3,4,5,6,1,8,2] => 01000101 => [1,1,3,1,1,1] => 2652
[1,2,8,4,5,6,9,3,7] => 00100010 => [2,1,3,1,1] => 1580
[7,8,3,4,5,2,9,1,6] => 01001010 => [1,1,2,1,1,1,1] => 6040
[8,2,3,4,1,6,9,7,5] => 10010011 => [1,2,1,2,2] => 2226
[6,7,3,2,5,8,1,4] => 0110010 => [1,2,2,1,1] => 594
[8,1,3,9,5,6,7,4,2] => 10010011 => [1,2,1,2,2] => 2226
[6,1,8,4,5,3,7,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,8,9,4,5,6,3,1,2] => 00100110 => [2,1,2,2,1] => 2194
[6,9,3,4,5,1,7,8,2] => 01001001 => [1,1,2,1,2,1] => 3732
[4,6,2,5,1,8,7,3] => 0101011 => [1,1,1,1,1,2] => 1023
[5,1,4,6,2,8,7,3] => 1001011 => [1,2,1,1,2] => 603
[7,3,5,2,1,6,8,4] => 1011001 => [1,1,2,2,1] => 611
[8,5,1,2,6,3,7,4] => 1100101 => [2,2,1,1,1] => 582
[1,5,8,7,4,6,3,2] => 0011011 => [2,2,1,2] => 357
[5,7,2,1,3,6,8,4] => 0110001 => [1,2,3,1] => 262
[3,7,2,6,8,1,5,4] => 0100101 => [1,1,2,1,1,1] => 984
[7,4,8,6,5,1,3,2] => 1011101 => [1,1,3,1,1] => 439
[2,7,6,8,5,1,4,3] => 0101101 => [1,1,1,2,1,1] => 1006
[1,6,4,5,7,3,8,2] => 0100101 => [1,1,2,1,1,1] => 984
[1,5,4,7,8,6,2,3] => 0100110 => [1,1,2,2,1] => 611
[7,3,1,6,8,2,5,4] => 1100101 => [2,2,1,1,1] => 582
[7,1,6,8,5,2,4,3] => 1001101 => [1,2,2,1,1] => 594
[3,5,8,7,6,4,1,2] => 0011110 => [2,4,1] => 85
[1,5,7,8,6,2,4,3] => 0001101 => [3,2,1,1] => 256
[3,6,2,1,4,7,8,5] => 0110001 => [1,2,3,1] => 262
[6,8,2,7,5,4,3,1] => 0101111 => [1,1,1,4] => 148
[5,8,1,7,6,4,3,2] => 0101111 => [1,1,1,4] => 148
[4,1,5,6,7,8,9,2,3] => 10000010 => [1,5,1,1] => 240
[2,3,4,5,8,9,1,6,7] => 00000100 => [5,1,2] => 138
[8,6,3,2,1,5,4,7] => 1111010 => [4,1,1,1] => 145
[8,5,3,2,4,1,7,6] => 1110101 => [3,1,1,1,1] => 427
[7,5,2,4,3,6,8,1] => 1101001 => [2,1,1,2,1] => 603
[8,5,1,4,6,3,2,7] => 1100110 => [2,2,2,1] => 357
[8,5,1,6,3,4,2,7] => 1101010 => [2,1,1,1,1,1] => 969
[8,4,3,6,1,5,2,7] => 1101010 => [2,1,1,1,1,1] => 969
[8,4,3,5,2,1,7,6] => 1101101 => [2,1,2,1,1] => 594
[6,4,3,2,8,7,1,5] => 1110110 => [3,1,2,1] => 259
[8,5,1,4,3,7,2,6] => 1101010 => [2,1,1,1,1,1] => 969
[8,5,4,2,1,3,7,6] => 1111001 => [4,2,1] => 85
[4,7,3,6,1,8,5,2] => 0101011 => [1,1,1,1,1,2] => 1023
[7,6,2,4,1,5,8,3] => 1101001 => [2,1,1,2,1] => 603
[8,1,6,3,7,4,2,5] => 1010110 => [1,1,1,1,2,1] => 1023
[5,3,8,2,6,7,1,4] => 1010010 => [1,1,1,2,1,1] => 1006
[8,2,5,1,7,6,3,4] => 1010110 => [1,1,1,1,2,1] => 1023
[8,2,4,6,3,7,1,5] => 1001010 => [1,2,1,1,1,1] => 969
[7,2,6,4,3,5,8,1] => 1011001 => [1,1,2,2,1] => 611
[7,3,6,2,4,5,8,1] => 1010001 => [1,1,1,3,1] => 450
[8,3,7,2,1,4,6,5] => 1011001 => [1,1,2,2,1] => 611
[7,6,4,1,3,2,8,5] => 1110101 => [3,1,1,1,1] => 427
[7,3,8,2,1,5,6,4] => 1011001 => [1,1,2,2,1] => 611
[6,2,5,7,4,3,8,1] => 1001101 => [1,2,2,1,1] => 594
[6,2,5,4,8,7,1,3] => 1010110 => [1,1,1,1,2,1] => 1023
[7,2,4,8,5,1,6,3] => 1001101 => [1,2,2,1,1] => 594
[4,2,7,6,8,5,1,3] => 1010110 => [1,1,1,1,2,1] => 1023
[7,1,6,2,8,5,4,3] => 1010111 => [1,1,1,1,3] => 450
[7,1,6,3,8,5,2,4] => 1010110 => [1,1,1,1,2,1] => 1023
[7,2,6,8,1,3,5,4] => 1001001 => [1,2,1,2,1] => 603
[7,2,8,5,1,3,6,4] => 1011001 => [1,1,2,2,1] => 611
[7,1,8,5,3,2,6,4] => 1011101 => [1,1,3,1,1] => 439
[7,1,8,2,5,6,4,3] => 1010011 => [1,1,1,2,2] => 622
[6,1,5,8,7,2,4,3] => 1001101 => [1,2,2,1,1] => 594
[6,1,5,7,4,8,3,2] => 1001011 => [1,2,1,1,2] => 603
[6,1,5,7,8,3,4,2] => 1000101 => [1,3,1,1,1] => 427
[4,6,7,3,1,8,5,2] => 0011011 => [2,2,1,2] => 357
[4,2,6,3,1,8,7,5] => 1011011 => [1,1,2,1,2] => 611
[6,1,4,2,5,8,7,3] => 1010011 => [1,1,1,2,2] => 622
[1,5,3,8,4,6,2,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[7,2,3,5,8,4,1,6] => 1000110 => [1,3,2,1] => 259
[7,6,4,2,8,5,1,3] => 1110110 => [3,1,2,1] => 259
[1,7,6,4,8,5,3,2] => 0110111 => [1,2,1,3] => 262
[8,7,4,2,1,5,6,3] => 1111001 => [4,2,1] => 85
[8,2,3,5,1,4,6,7] => 1001000 => [1,2,1,3] => 262
[8,7,4,1,3,2,6,5] => 1110101 => [3,1,1,1,1] => 427
[7,1,4,8,3,6,2,5] => 1001010 => [1,2,1,1,1,1] => 969
[4,1,8,5,7,6,2,3] => 1010110 => [1,1,1,1,2,1] => 1023
[3,7,5,8,4,2,1,6] => 0101110 => [1,1,1,3,1] => 450
[6,1,5,8,3,4,2,7] => 1001010 => [1,2,1,1,1,1] => 969
[6,7,5,1,3,2,4,8] => 0110100 => [1,2,1,1,2] => 603
[5,2,6,1,7,3,4,8] => 1010100 => [1,1,1,1,1,2] => 1023
[4,2,6,8,3,7,1,5] => 1001010 => [1,2,1,1,1,1] => 969
[6,8,5,1,4,2,3,7] => 0110100 => [1,2,1,1,2] => 603
[7,8,4,5,1,3,6,2] => 0101001 => [1,1,1,1,2,1] => 1023
[1,7,8,5,3,4,6,2] => 0011001 => [2,2,2,1] => 357
[1,5,8,3,6,4,7,2] => 0010101 => [2,1,1,1,1,1] => 969
[6,3,8,1,4,2,7,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,8,1,5,6,3,7,2] => 0100101 => [1,1,2,1,1,1] => 984
[1,8,2,6,5,3,7,4] => 0101101 => [1,1,1,2,1,1] => 1006
[3,8,1,7,2,6,5,4] => 0101011 => [1,1,1,1,1,2] => 1023
[7,3,8,1,2,6,5,4] => 1010011 => [1,1,1,2,2] => 622
[8,1,4,2,3,5,7,6] => 1010001 => [1,1,1,3,1] => 450
[8,1,2,4,6,5,7,3] => 1000101 => [1,3,1,1,1] => 427
[5,1,8,3,7,4,6,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,3,7,1,5,4,6,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,4,7,1,5,3,6,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,2,5,3,4,6,1,8] => 1010010 => [1,1,1,2,1,1] => 1006
[7,6,4,2,5,3,1,8] => 1110110 => [3,1,2,1] => 259
[5,8,4,3,6,2,7,1] => 0110101 => [1,2,1,1,1,1] => 969
[1,7,2,6,3,4,8,5] => 0101001 => [1,1,1,1,2,1] => 1023
[7,5,1,6,3,2,4,8] => 1101100 => [2,1,2,2] => 363
[7,1,2,6,3,4,5,8] => 1001000 => [1,2,1,3] => 262
[7,2,5,1,6,3,4,8] => 1010100 => [1,1,1,1,1,2] => 1023
[7,3,1,4,6,2,5,8] => 1100100 => [2,2,1,2] => 357
[7,1,6,5,4,2,3,8] => 1011100 => [1,1,3,2] => 265
[5,8,4,3,1,7,2,6] => 0111010 => [1,3,1,1,1] => 427
[3,6,8,5,2,4,7,1] => 0011001 => [2,2,2,1] => 357
[5,7,8,4,3,2,6,1] => 0011101 => [2,3,1,1] => 256
[1,3,8,4,7,2,6,5] => 0010101 => [2,1,1,1,1,1] => 969
[3,2,1,4,5,8,6,7] => 1100010 => [2,3,1,1] => 256
[6,7,1,3,2,8,5,4] => 0101011 => [1,1,1,1,1,2] => 1023
[1,5,3,2,6,8,4,7] => 0110010 => [1,2,2,1,1] => 594
[3,7,6,5,8,2,4,1] => 0110101 => [1,2,1,1,1,1] => 969
[5,7,4,2,8,6,1,3] => 0110110 => [1,2,1,2,1] => 603
[5,4,3,7,8,2,6,1] => 1100101 => [2,2,1,1,1] => 582
[3,8,5,7,6,2,4,1] => 0101101 => [1,1,1,2,1,1] => 1006
[1,3,6,8,7,2,5,4] => 0001101 => [3,2,1,1] => 256
[5,8,7,1,4,2,3,6] => 0110100 => [1,2,1,1,2] => 603
[2,6,3,7,1,4,5,8] => 0101000 => [1,1,1,1,3] => 450
[6,5,1,2,4,7,8,3] => 1100001 => [2,4,1] => 85
[7,6,8,4,3,1,5,2] => 1011101 => [1,1,3,1,1] => 439
[1,7,6,5,3,2,4,8] => 0111100 => [1,4,2] => 85
[2,7,6,5,4,1,3,8] => 0111100 => [1,4,2] => 85
[6,2,3,5,8,4,1,7] => 1000110 => [1,3,2,1] => 259
[4,7,6,1,5,8,3,2] => 0110011 => [1,2,2,2] => 363
[9,8,7,6,5,4,2,3,1] => 11111101 => [6,1,1] => 50
[2,3,9,8,7,6,5,4,1] => 00111111 => [2,6] => 28
[9,1,3,2,4,5,6,7,8] => 10100000 => [1,1,1,5] => 244
[6,8,7,1,5,4,3,2] => 0110111 => [1,2,1,3] => 262
[8,7,4,6,5,1,3,2] => 1101101 => [2,1,2,1,1] => 594
[9,8,7,1,6,5,4,3,2] => 11101111 => [3,1,4] => 220
[9,8,7,6,1,5,4,3,2] => 11110111 => [4,1,3] => 220
[9,8,7,6,5,1,4,3,2] => 11111011 => [5,1,2] => 138
[3,5,2,4,7,6,9,8,1] => 01001011 => [1,1,2,1,1,2] => 3732
[2,4,3,6,5,8,7,1,9] => 01010110 => [1,1,1,1,1,2,1] => 6344
[7,2,6,1,5,8,3,4] => 1010010 => [1,1,1,2,1,1] => 1006
[4,7,3,8,6,2,5,1] => 0101101 => [1,1,1,2,1,1] => 1006
[4,7,3,6,8,2,1,5] => 0100110 => [1,1,2,2,1] => 611
[5,4,7,3,8,2,1,6] => 1010110 => [1,1,1,1,2,1] => 1023
[8,7,2,4,6,3,5,1] => 1100101 => [2,2,1,1,1] => 582
[4,3,5,7,2,6,1,8] => 1001010 => [1,2,1,1,1,1] => 969
[1,7,2,8,5,4,3,6] => 0101110 => [1,1,1,3,1] => 450
[5,4,8,3,6,2,1,7] => 1010110 => [1,1,1,1,2,1] => 1023
[6,8,2,5,7,1,4,3] => 0100101 => [1,1,2,1,1,1] => 984
[3,8,6,2,7,5,1,4] => 0110110 => [1,2,1,2,1] => 603
[5,8,4,2,7,3,6,1] => 0110101 => [1,2,1,1,1,1] => 969
[8,2,7,3,4,5,1,6] => 1010010 => [1,1,1,2,1,1] => 1006
[8,1,5,2,4,6,3,7] => 1010010 => [1,1,1,2,1,1] => 1006
[8,6,1,3,4,5,7,2] => 1100001 => [2,4,1] => 85
[8,5,1,2,4,6,7,3] => 1100001 => [2,4,1] => 85
[2,6,8,7,3,4,5,1] => 0011001 => [2,2,2,1] => 357
[1,7,8,5,6,4,2,3] => 0010110 => [2,1,1,2,1] => 603
[8,3,1,2,4,6,7,5] => 1100001 => [2,4,1] => 85
[3,1,7,5,8,2,4,6] => 1010100 => [1,1,1,1,1,2] => 1023
[8,1,3,2,4,6,5,7] => 1010010 => [1,1,1,2,1,1] => 1006
[8,1,5,6,4,2,3,7] => 1001100 => [1,2,2,2] => 363
[8,1,6,5,4,3,2,7] => 1011110 => [1,1,4,1] => 148
[2,6,8,1,5,4,3,7] => 0010110 => [2,1,1,2,1] => 603
[5,2,1,7,6,3,8,4] => 1101101 => [2,1,2,1,1] => 594
[3,5,8,2,1,4,7,6] => 0011001 => [2,2,2,1] => 357
[4,2,8,5,3,7,6,1] => 1011011 => [1,1,2,1,2] => 611
[4,2,7,5,3,8,6,1] => 1011011 => [1,1,2,1,2] => 611
[6,4,5,1,8,3,2,7] => 1010110 => [1,1,1,1,2,1] => 1023
[5,4,7,8,3,1,2,6] => 1001100 => [1,2,2,2] => 363
[4,5,8,1,3,7,2,6] => 0010010 => [2,1,2,1,1] => 594
[1,5,3,6,8,7,2,4] => 0100110 => [1,1,2,2,1] => 611
[7,6,2,8,1,4,3,5] => 1101010 => [2,1,1,1,1,1] => 969
[4,7,2,6,8,3,5,1] => 0100101 => [1,1,2,1,1,1] => 984
[6,3,2,8,7,4,5,1] => 1101101 => [2,1,2,1,1] => 594
[7,4,3,8,5,6,2,1] => 1101011 => [2,1,1,1,2] => 603
[3,1,5,8,7,6,2,4] => 1001110 => [1,2,3,1] => 262
[8,2,1,6,5,7,3,4] => 1101010 => [2,1,1,1,1,1] => 969
[3,1,8,6,5,7,2,4] => 1011010 => [1,1,2,1,1,1] => 984
[1,2,7,6,4,5,8,3] => 0011001 => [2,2,2,1] => 357
[7,2,6,5,1,8,3,4] => 1011010 => [1,1,2,1,1,1] => 984
[4,2,8,5,6,3,1,7] => 1010110 => [1,1,1,1,2,1] => 1023
[4,7,3,2,5,1,6,8] => 0110100 => [1,2,1,1,2] => 603
[4,2,5,3,8,7,1,6] => 1010110 => [1,1,1,1,2,1] => 1023
[7,2,5,3,8,4,6,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[3,6,8,1,7,4,5,2] => 0010101 => [2,1,1,1,1,1] => 969
[8,7,3,2,5,4,6,1] => 1110101 => [3,1,1,1,1] => 427
[7,5,6,1,8,3,2,4] => 1010110 => [1,1,1,1,2,1] => 1023
[4,5,6,2,7,3,1,8] => 0010110 => [2,1,1,2,1] => 603
[5,3,4,7,1,6,2,8] => 1001010 => [1,2,1,1,1,1] => 969
[3,5,1,4,6,8,2,7] => 0100010 => [1,1,3,1,1] => 439
[8,5,7,4,2,1,3,6] => 1011100 => [1,1,3,2] => 265
[2,3,7,4,1,8,6,5] => 0011011 => [2,2,1,2] => 357
[2,4,5,1,8,6,3,7] => 0010110 => [2,1,1,2,1] => 603
[2,4,1,6,7,5,3,8] => 0100110 => [1,1,2,2,1] => 611
[6,3,7,1,5,2,4,8] => 1010100 => [1,1,1,1,1,2] => 1023
[4,1,3,7,8,2,6,5] => 1000101 => [1,3,1,1,1] => 427
[7,1,4,8,6,5,2,3] => 1001110 => [1,2,3,1] => 262
[8,3,4,2,1,7,5,6] => 1011010 => [1,1,2,1,1,1] => 984
[1,4,5,3,8,6,7,2] => 0010101 => [2,1,1,1,1,1] => 969
[4,6,2,7,5,8,1,3] => 0101010 => [1,1,1,1,1,1,1] => 1623
[7,3,2,5,1,8,4,6] => 1101010 => [2,1,1,1,1,1] => 969
[7,8,1,4,2,3,5,6] => 0101000 => [1,1,1,1,3] => 450
[6,5,2,4,8,7,1,3] => 1100110 => [2,2,2,1] => 357
[8,5,2,4,1,3,7,6] => 1101001 => [2,1,1,2,1] => 603
[5,1,2,4,3,6,8,7] => 1001001 => [1,2,1,2,1] => 603
[5,2,1,4,3,7,6,8] => 1101010 => [2,1,1,1,1,1] => 969
[8,6,2,7,5,3,1,4] => 1101110 => [2,1,3,1] => 262
[6,2,1,5,8,3,4,7] => 1100100 => [2,2,1,2] => 357
[2,3,8,7,1,5,4,6] => 0011010 => [2,2,1,1,1] => 582
[4,3,8,1,5,2,6,7] => 1010100 => [1,1,1,1,1,2] => 1023
[4,1,3,6,7,2,8,5] => 1000101 => [1,3,1,1,1] => 427
[7,1,4,5,8,2,6,3] => 1000101 => [1,3,1,1,1] => 427
[6,1,3,2,4,5,8,7] => 1010001 => [1,1,1,3,1] => 450
[3,5,1,2,4,7,6,9,8] => 01000101 => [1,1,3,1,1,1] => 2652
[3,7,8,6,5,1,2,4] => 0011100 => [2,3,2] => 153
[8,4,5,7,2,6,3,1] => 1001011 => [1,2,1,1,2] => 603
[4,5,8,2,7,3,1,6] => 0010110 => [2,1,1,2,1] => 603
[6,5,8,2,7,3,1,4] => 1010110 => [1,1,1,1,2,1] => 1023
[6,4,8,2,7,3,1,5] => 1010110 => [1,1,1,1,2,1] => 1023
[7,8,1,3,6,4,2,5] => 0100110 => [1,1,2,2,1] => 611
[4,3,8,2,7,5,1,6] => 1010110 => [1,1,1,1,2,1] => 1023
[4,5,7,8,3,2,1,6] => 0001110 => [3,3,1] => 110
[5,7,3,4,2,6,8,1] => 0101001 => [1,1,1,1,2,1] => 1023
[5,7,4,2,3,6,8,1] => 0110001 => [1,2,3,1] => 262
[5,4,7,3,2,8,1,6] => 1011010 => [1,1,2,1,1,1] => 984
[6,8,3,2,4,5,1,7] => 0110010 => [1,2,2,1,1] => 594
[5,8,3,4,6,1,2,7] => 0100100 => [1,1,2,1,2] => 611
[6,4,3,8,5,1,2,7] => 1101100 => [2,1,2,2] => 363
[6,4,8,2,3,5,1,7] => 1010010 => [1,1,1,2,1,1] => 1006
[5,4,6,8,2,3,1,7] => 1001010 => [1,2,1,1,1,1] => 969
[5,6,8,4,1,2,3,7] => 0011000 => [2,2,3] => 153
[6,4,8,5,1,2,3,7] => 1011000 => [1,1,2,3] => 265
[7,4,8,3,1,2,5,6] => 1011000 => [1,1,2,3] => 265
[5,7,8,2,3,1,4,6] => 0010100 => [2,1,1,1,2] => 603
[5,4,7,8,2,1,3,6] => 1001100 => [1,2,2,2] => 363
[5,8,6,3,1,2,4,7] => 0111000 => [1,3,3] => 110
[6,8,5,2,1,3,4,7] => 0111000 => [1,3,3] => 110
[5,6,1,3,2,4,8,7] => 0101001 => [1,1,1,1,2,1] => 1023
[8,1,5,4,6,2,7,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,3,8,1,2,5,7,6] => 1010001 => [1,1,1,3,1] => 450
[4,6,3,2,8,5,7,1] => 0110101 => [1,2,1,1,1,1] => 969
[5,3,7,2,1,8,6,4] => 1011011 => [1,1,2,1,2] => 611
[7,4,3,2,5,1,8,6] => 1110101 => [3,1,1,1,1] => 427
[5,4,8,3,7,2,1,6] => 1010110 => [1,1,1,1,2,1] => 1023
[3,6,8,5,2,1,7,4] => 0011101 => [2,3,1,1] => 256
[6,1,5,4,7,2,8,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[1,3,6,5,8,2,7,4] => 0010101 => [2,1,1,1,1,1] => 969
[5,4,8,3,2,7,1,6] => 1011010 => [1,1,2,1,1,1] => 984
[5,4,3,7,8,2,1,6] => 1100110 => [2,2,2,1] => 357
[3,4,5,6,7,8,2,9,1] => 00000101 => [5,1,1,1] => 240
[1,4,5,6,7,8,3,9,2] => 00000101 => [5,1,1,1] => 240
[3,4,5,6,7,2,1,9,8] => 00001101 => [4,2,1,1] => 522
[2,1,5,6,7,8,9,4,3] => 10000011 => [1,5,2] => 138
[2,4,5,6,7,8,3,1,9] => 00000110 => [5,2,1] => 138
[1,4,8,6,3,2,7,5] => 0011101 => [2,3,1,1] => 256
[4,1,8,6,2,5,7,3] => 1011001 => [1,1,2,2,1] => 611
[6,7,2,5,3,8,4,1] => 0101011 => [1,1,1,1,1,2] => 1023
[6,3,4,8,1,2,7,5] => 1001001 => [1,2,1,2,1] => 603
[6,2,8,1,7,4,5,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[2,6,3,1,5,8,7,4] => 0110011 => [1,2,2,2] => 363
[7,1,3,2,6,5,8,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,7,6,4,5,3,2,9,1] => 11101101 => [3,1,2,1,1] => 1560
[2,9,8,7,5,6,4,3,1] => 01110111 => [1,3,1,3] => 676
[1,3,5,8,4,7,2,6] => 0001010 => [3,1,1,1,1] => 427
[2,3,8,7,5,1,6,4] => 0011101 => [2,3,1,1] => 256
[4,1,3,5,6,2,8,7] => 1000101 => [1,3,1,1,1] => 427
[6,4,8,7,3,5,2,1] => 1011011 => [1,1,2,1,2] => 611
[8,2,3,5,6,1,4,7] => 1000100 => [1,3,1,2] => 259
[3,8,2,7,6,4,1,5] => 0101110 => [1,1,1,3,1] => 450
[4,3,8,6,2,7,1,5] => 1011010 => [1,1,2,1,1,1] => 984
[8,3,4,5,1,6,7,2] => 1001001 => [1,2,1,2,1] => 603
[7,8,1,5,6,3,2,4] => 0100110 => [1,1,2,2,1] => 611
[1,7,8,3,2,5,4,6] => 0011010 => [2,2,1,1,1] => 582
[7,8,1,3,2,5,6,4] => 0101001 => [1,1,1,1,2,1] => 1023
[7,8,1,3,5,4,6,2] => 0100101 => [1,1,2,1,1,1] => 984
[7,8,1,3,5,2,4,6] => 0100100 => [1,1,2,1,2] => 611
[1,3,7,8,5,2,4,6] => 0001100 => [3,2,2] => 153
[1,7,8,3,5,2,6,4] => 0010101 => [2,1,1,1,1,1] => 969
[1,7,8,3,2,5,6,4] => 0011001 => [2,2,2,1] => 357
[3,7,8,5,4,6,1,2] => 0011010 => [2,2,1,1,1] => 582
[3,5,7,6,4,8,1,2] => 0011010 => [2,2,1,1,1] => 582
[1,3,7,8,5,4,6,2] => 0001101 => [3,2,1,1] => 256
[1,3,7,8,5,4,2,6] => 0001110 => [3,3,1] => 110
[1,3,7,8,2,5,4,6] => 0001010 => [3,1,1,1,1] => 427
[1,3,2,7,8,5,4,6] => 0100110 => [1,1,2,2,1] => 611
[1,5,7,6,8,3,2,4] => 0010110 => [2,1,1,2,1] => 603
[3,5,4,7,8,6,1,2] => 0100110 => [1,1,2,2,1] => 611
[3,5,7,6,8,4,1,2] => 0010110 => [2,1,1,2,1] => 603
[1,5,7,6,8,3,4,2] => 0010101 => [2,1,1,1,1,1] => 969
[3,5,7,4,6,8,1,2] => 0010010 => [2,1,2,1,1] => 594
[6,5,8,4,3,7,1,2] => 1011010 => [1,1,2,1,1,1] => 984
[6,7,3,1,5,2,4,8] => 0110100 => [1,2,1,1,2] => 603
[5,2,4,1,8,3,6,7] => 1010100 => [1,1,1,1,1,2] => 1023
[2,1,7,4,3,8,5,6] => 1011010 => [1,1,2,1,1,1] => 984
[7,2,3,8,5,4,1,6] => 1001110 => [1,2,3,1] => 262
[4,1,5,7,6,3,8,2] => 1001101 => [1,2,2,1,1] => 594
[1,4,8,2,3,6,5,7] => 0010010 => [2,1,2,1,1] => 594
[1,4,6,7,3,5,2,8] => 0001010 => [3,1,1,1,1] => 427
[1,4,8,2,6,7,5,3] => 0010011 => [2,1,2,2] => 363
[1,7,3,2,4,5,6,8] => 0110000 => [1,2,4] => 85
[1,7,3,2,4,5,8,6] => 0110001 => [1,2,3,1] => 262
[1,6,4,3,2,5,7,8] => 0111000 => [1,3,3] => 110
[4,2,6,5,3,1,7,8] => 1011100 => [1,1,3,2] => 265
[5,2,1,6,8,7,4,3] => 1100111 => [2,2,3] => 153
[1,3,5,8,6,2,7,4] => 0001101 => [3,2,1,1] => 256
[2,3,8,4,1,7,6,5] => 0011011 => [2,2,1,2] => 357
[3,7,8,5,4,2,6,1] => 0011101 => [2,3,1,1] => 256
[8,3,2,7,5,6,1,4] => 1101010 => [2,1,1,1,1,1] => 969
[1,3,8,5,7,4,2,6] => 0010110 => [2,1,1,2,1] => 603
[1,2,3,7,5,4,6,8] => 0001100 => [3,2,2] => 153
[1,4,2,8,6,3,5,7] => 0101100 => [1,1,1,2,2] => 622
[2,8,6,3,5,7,4,1] => 0110011 => [1,2,2,2] => 363
[6,1,8,2,5,3,4,7] => 1010100 => [1,1,1,1,1,2] => 1023
[3,8,6,4,2,7,1,5] => 0111010 => [1,3,1,1,1] => 427
[1,5,4,2,3,6,8,7] => 0110001 => [1,2,3,1] => 262
[6,1,5,2,3,4,8,7] => 1010001 => [1,1,1,3,1] => 450
[6,5,2,1,7,3,4,8] => 1110100 => [3,1,1,2] => 259
[3,1,2,4,8,6,7,5] => 1000101 => [1,3,1,1,1] => 427
[3,1,2,5,8,7,4,6] => 1000110 => [1,3,2,1] => 259
[6,5,2,1,8,4,7,3] => 1110101 => [3,1,1,1,1] => 427
[3,7,5,2,8,1,4,6] => 0110100 => [1,2,1,1,2] => 603
[5,1,4,7,3,2,8,6] => 1001101 => [1,2,2,1,1] => 594
[4,1,5,8,6,2,3,7] => 1001100 => [1,2,2,2] => 363
[5,4,8,6,3,7,1,2] => 1011010 => [1,1,2,1,1,1] => 984
[6,5,2,3,1,8,7,4] => 1101011 => [2,1,1,1,2] => 603
[5,7,4,8,3,1,6,2] => 0101101 => [1,1,1,2,1,1] => 1006
[3,1,4,7,5,2,8,6] => 1001101 => [1,2,2,1,1] => 594
[4,3,5,1,8,7,2,6] => 1010110 => [1,1,1,1,2,1] => 1023
[2,5,3,6,1,8,4,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,5,6,8,3,1,7,4] => 0001101 => [3,2,1,1] => 256
[7,1,4,5,3,6,2,8] => 1001010 => [1,2,1,1,1,1] => 969
[1,7,2,4,5,3,6,8] => 0100100 => [1,1,2,1,2] => 611
[1,7,4,5,3,2,6,8] => 0101100 => [1,1,1,2,2] => 622
[1,6,4,7,3,5,2,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,5,6,4,8,2,1,7] => 0010110 => [2,1,1,2,1] => 603
[1,6,4,7,5,2,3,8] => 0101100 => [1,1,1,2,2] => 622
[1,5,2,6,7,4,3,8] => 0100110 => [1,1,2,2,1] => 611
[8,5,6,1,4,3,7,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[2,5,4,7,8,3,1,6] => 0100110 => [1,1,2,2,1] => 611
[6,4,5,8,2,3,1,7] => 1001010 => [1,2,1,1,1,1] => 969
[8,6,1,3,2,5,7,4] => 1101001 => [2,1,1,2,1] => 603
[7,5,8,1,4,6,3,2] => 1010011 => [1,1,1,2,2] => 622
[4,2,6,7,8,1,5,3] => 1000101 => [1,3,1,1,1] => 427
[3,4,6,7,8,1,5,2] => 0000101 => [4,1,1,1] => 145
[4,7,3,8,5,1,6,2] => 0101101 => [1,1,1,2,1,1] => 1006
[4,3,2,7,5,8,1,6] => 1101010 => [2,1,1,1,1,1] => 969
[4,8,5,3,2,6,1,7] => 0111010 => [1,3,1,1,1] => 427
[2,8,4,5,3,6,1,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[8,1,5,3,2,4,7,6] => 1011001 => [1,1,2,2,1] => 611
[7,8,4,1,3,6,5,2] => 0110011 => [1,2,2,2] => 363
[8,6,1,3,2,7,4,5] => 1101010 => [2,1,1,1,1,1] => 969
[7,3,8,2,4,1,6,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,2,3,7,8,1,5,4] => 1000101 => [1,3,1,1,1] => 427
[6,3,7,8,1,5,4,2] => 1001011 => [1,2,1,1,2] => 603
[2,6,3,7,8,1,5,4] => 0100101 => [1,1,2,1,1,1] => 984
[7,5,8,1,6,4,2,3] => 1010110 => [1,1,1,1,2,1] => 1023
[8,1,4,3,7,5,6,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[1,4,8,5,3,2,6,7] => 0011100 => [2,3,2] => 153
[8,2,7,6,4,1,5,3] => 1011101 => [1,1,3,1,1] => 439
[2,7,4,3,8,5,1,6] => 0110110 => [1,2,1,2,1] => 603
[6,8,2,7,3,1,5,4] => 0101101 => [1,1,1,2,1,1] => 1006
[8,2,6,3,4,1,7,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,1,2,8,5,3,7,4] => 1001101 => [1,2,2,1,1] => 594
[4,1,5,8,3,6,7,2] => 1001001 => [1,2,1,2,1] => 603
[7,5,2,8,1,6,3,4] => 1101010 => [2,1,1,1,1,1] => 969
[4,8,5,7,1,3,2,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,4,7,2,1,5,8,6] => 0011001 => [2,2,2,1] => 357
[4,8,2,7,1,3,6,5] => 0101001 => [1,1,1,1,2,1] => 1023
[5,2,1,8,7,4,6,3] => 1101101 => [2,1,2,1,1] => 594
[8,2,1,7,4,6,3,5] => 1101010 => [2,1,1,1,1,1] => 969
[4,2,5,8,3,6,7,1] => 1001001 => [1,2,1,2,1] => 603
[5,1,6,8,3,2,7,4] => 1001101 => [1,2,2,1,1] => 594
[4,1,5,6,8,2,7,3] => 1000101 => [1,3,1,1,1] => 427
[5,7,8,2,4,1,3,6] => 0010100 => [2,1,1,1,2] => 603
[4,5,2,8,7,3,1,6] => 0101110 => [1,1,1,3,1] => 450
[4,8,5,3,1,6,7,2] => 0111001 => [1,3,2,1] => 259
[6,2,3,1,7,8,5,4] => 1010011 => [1,1,1,2,2] => 622
[5,2,3,6,8,4,7,1] => 1000101 => [1,3,1,1,1] => 427
[6,2,1,7,8,4,3,5] => 1100110 => [2,2,2,1] => 357
[5,2,1,3,8,4,7,6] => 1100101 => [2,2,1,1,1] => 582
[5,2,7,8,4,1,6,3] => 1001101 => [1,2,2,1,1] => 594
[6,2,7,8,3,5,4,1] => 1001011 => [1,2,1,1,2] => 603
[5,2,8,6,4,1,7,3] => 1011101 => [1,1,3,1,1] => 439
[5,1,2,8,4,3,7,6] => 1001101 => [1,2,2,1,1] => 594
[6,7,8,3,2,5,4,1] => 0011011 => [2,2,1,2] => 357
[5,7,2,6,4,8,1,3] => 0101010 => [1,1,1,1,1,1,1] => 1623
[6,2,3,4,7,8,5,1] => 1000011 => [1,4,2] => 85
[7,2,1,8,4,3,5,6] => 1101100 => [2,1,2,2] => 363
[6,2,1,3,7,5,8,4] => 1100101 => [2,2,1,1,1] => 582
[6,8,7,3,4,5,1,2] => 0110010 => [1,2,2,1,1] => 594
[6,2,3,7,8,1,4,5] => 1000100 => [1,3,1,2] => 259
[7,4,3,2,5,8,1,6] => 1110010 => [3,2,1,1] => 256
[7,2,4,3,5,8,1,6] => 1010010 => [1,1,1,2,1,1] => 1006
[1,7,6,4,2,3,5,8] => 0111000 => [1,3,3] => 110
[1,3,2,5,8,6,4,7] => 0100110 => [1,1,2,2,1] => 611
[6,1,4,7,2,8,5,3] => 1001011 => [1,2,1,1,2] => 603
[1,7,5,8,4,2,3,6] => 0101100 => [1,1,1,2,2] => 622
[1,6,7,2,4,8,5,3] => 0010011 => [2,1,2,2] => 363
[5,7,2,4,3,6,8,1] => 0101001 => [1,1,1,1,2,1] => 1023
[5,7,3,4,6,2,8,1] => 0100101 => [1,1,2,1,1,1] => 984
[2,8,3,6,1,7,4,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,3,1,8,5,2,6,7] => 1101100 => [2,1,2,2] => 363
[1,8,4,5,6,2,7,3] => 0100101 => [1,1,2,1,1,1] => 984
[7,3,8,2,1,4,5,6] => 1011000 => [1,1,2,3] => 265
[8,2,5,3,1,7,4,6] => 1011010 => [1,1,2,1,1,1] => 984
[6,3,5,8,1,7,4,2] => 1001011 => [1,2,1,1,2] => 603
[3,5,4,8,6,1,7,2] => 0101101 => [1,1,1,2,1,1] => 1006
[7,5,2,3,8,4,6,1] => 1100101 => [2,2,1,1,1] => 582
[2,7,5,1,4,8,3,6] => 0110010 => [1,2,2,1,1] => 594
[5,7,6,1,2,8,3,4] => 0110010 => [1,2,2,1,1] => 594
[7,4,6,5,1,8,2,3] => 1011010 => [1,1,2,1,1,1] => 984
[7,1,3,2,6,8,4,5] => 1010010 => [1,1,1,2,1,1] => 1006
[4,3,5,2,8,1,6,7] => 1010100 => [1,1,1,1,1,2] => 1023
[1,7,3,8,2,4,6,5] => 0101001 => [1,1,1,1,2,1] => 1023
[2,7,4,8,5,3,1,6] => 0101110 => [1,1,1,3,1] => 450
[6,1,3,8,4,2,7,5] => 1001101 => [1,2,2,1,1] => 594
[5,4,1,8,6,2,7,3] => 1101101 => [2,1,2,1,1] => 594
[5,4,6,8,1,3,2,7] => 1001010 => [1,2,1,1,1,1] => 969
[3,6,1,5,8,4,7,2] => 0100101 => [1,1,2,1,1,1] => 984
[6,4,8,3,5,7,2,1] => 1010011 => [1,1,1,2,2] => 622
[3,5,8,2,4,1,7,6] => 0010101 => [2,1,1,1,1,1] => 969
[7,2,8,4,1,3,6,5] => 1011001 => [1,1,2,2,1] => 611
[5,8,1,2,4,3,6,7] => 0100100 => [1,1,2,1,2] => 611
[8,4,3,5,7,2,6,1] => 1100101 => [2,2,1,1,1] => 582
[4,1,5,2,3,8,7,6] => 1010011 => [1,1,1,2,2] => 622
[6,3,5,8,2,4,7,1] => 1001001 => [1,2,1,2,1] => 603
[2,8,7,1,4,6,3,5] => 0110010 => [1,2,2,1,1] => 594
[1,8,5,3,7,4,2,6] => 0110110 => [1,2,1,2,1] => 603
[7,5,6,2,8,4,3,1] => 1010111 => [1,1,1,1,3] => 450
[5,7,6,2,8,1,4,3] => 0110101 => [1,2,1,1,1,1] => 969
[6,3,8,1,2,5,4,7] => 1010010 => [1,1,1,2,1,1] => 1006
[7,6,4,8,5,3,2,1] => 1101111 => [2,1,4] => 85
[7,6,5,3,8,4,2,1] => 1110111 => [3,1,3] => 110
[7,6,5,4,2,8,3,1] => 1111011 => [4,1,2] => 85
[8,6,9,7,5,4,3,2,1] => 10111111 => [1,1,6] => 50
[7,5,4,8,6,3,2,1] => 1101111 => [2,1,4] => 85
[8,7,5,9,6,4,3,2,1] => 11011111 => [2,1,5] => 138
[8,7,6,4,9,5,3,2,1] => 11101111 => [3,1,4] => 220
[7,6,5,3,2,8,4,1] => 1111011 => [4,1,2] => 85
[8,7,6,5,3,9,4,2,1] => 11110111 => [4,1,3] => 220
[8,7,6,5,4,2,9,3,1] => 11111011 => [5,1,2] => 138
[1,5,7,2,4,3,6,8] => 0010100 => [2,1,1,1,2] => 603
[1,6,5,3,2,4,7,8] => 0111000 => [1,3,3] => 110
[1,7,2,4,6,5,3,8] => 0100110 => [1,1,2,2,1] => 611
[1,4,7,2,6,5,3,8] => 0010110 => [2,1,1,2,1] => 603
[1,2,6,8,7,4,3,5] => 0001110 => [3,3,1] => 110
[1,2,7,4,3,5,8,6] => 0011001 => [2,2,2,1] => 357
[1,6,2,8,7,4,3,5] => 0101110 => [1,1,1,3,1] => 450
[1,7,4,2,3,5,8,6] => 0110001 => [1,2,3,1] => 262
[1,8,5,2,3,6,4,7] => 0110010 => [1,2,2,1,1] => 594
[1,7,4,8,5,2,3,6] => 0101100 => [1,1,1,2,2] => 622
[1,4,7,5,2,8,6,3] => 0011011 => [2,2,1,2] => 357
[1,6,3,7,4,2,8,5] => 0101101 => [1,1,1,2,1,1] => 1006
[1,8,5,2,7,4,3,6] => 0110110 => [1,2,1,2,1] => 603
[1,4,8,7,5,3,2,6] => 0011110 => [2,4,1] => 85
[1,2,5,8,6,3,7,4] => 0001101 => [3,2,1,1] => 256
[1,2,4,7,5,8,6,3] => 0001011 => [3,1,1,2] => 259
[1,5,8,7,6,2,4,3] => 0011101 => [2,3,1,1] => 256
[1,3,5,8,7,6,2,4] => 0001110 => [3,3,1] => 110
[1,5,2,4,3,6,8,7] => 0101001 => [1,1,1,1,2,1] => 1023
[1,6,8,7,5,3,2,4] => 0011110 => [2,4,1] => 85
[1,2,5,7,4,3,8,6] => 0001101 => [3,2,1,1] => 256
[1,5,3,2,6,8,7,4] => 0110011 => [1,2,2,2] => 363
[1,4,2,6,8,7,5,3] => 0100111 => [1,1,2,3] => 265
[1,5,8,6,3,2,7,4] => 0011101 => [2,3,1,1] => 256
[1,8,5,2,6,3,4,7] => 0110100 => [1,2,1,1,2] => 603
[1,7,4,6,3,2,8,5] => 0101101 => [1,1,1,2,1,1] => 1006
[1,6,3,2,8,5,4,7] => 0110110 => [1,2,1,2,1] => 603
[1,3,8,6,4,2,5,7] => 0011100 => [2,3,2] => 153
[1,5,7,4,2,3,8,6] => 0011001 => [2,2,2,1] => 357
[6,3,7,5,4,2,8,1] => 1011101 => [1,1,3,1,1] => 439
[7,5,2,6,3,4,8,1] => 1101001 => [2,1,1,2,1] => 603
[3,8,2,7,5,4,1,6] => 0101110 => [1,1,1,3,1] => 450
[5,4,8,6,7,1,2,3] => 1010100 => [1,1,1,1,1,2] => 1023
[2,7,3,6,8,5,4,1] => 0100111 => [1,1,2,3] => 265
[3,7,2,8,1,6,4,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[8,5,2,4,6,7,3,1] => 1100011 => [2,3,2] => 153
[2,5,8,7,1,4,3,6] => 0011010 => [2,2,1,1,1] => 582
[3,4,6,5,8,2,7,1] => 0010101 => [2,1,1,1,1,1] => 969
[5,2,4,1,6,7,8,3] => 1010001 => [1,1,1,3,1] => 450
[4,2,7,1,6,8,3,5] => 1010010 => [1,1,1,2,1,1] => 1006
[5,2,8,6,4,7,1,3] => 1011010 => [1,1,2,1,1,1] => 984
[6,1,3,4,7,2,8,5] => 1000101 => [1,3,1,1,1] => 427
[8,4,7,2,5,3,1,6] => 1010110 => [1,1,1,1,2,1] => 1023
[8,3,4,5,2,1,7,6] => 1001101 => [1,2,2,1,1] => 594
[8,6,1,4,7,3,5,2] => 1100101 => [2,2,1,1,1] => 582
[5,3,6,7,2,8,4,1] => 1001011 => [1,2,1,1,2] => 603
[5,3,6,7,2,4,8,1] => 1001001 => [1,2,1,2,1] => 603
[8,6,4,2,7,1,5,3] => 1110101 => [3,1,1,1,1] => 427
[8,6,1,4,7,5,2,3] => 1100110 => [2,2,2,1] => 357
[1,5,8,2,6,7,4,3] => 0010011 => [2,1,2,2] => 363
[7,1,3,6,5,2,8,4] => 1001101 => [1,2,2,1,1] => 594
[8,2,1,4,5,7,6,3] => 1100011 => [2,3,2] => 153
[1,4,7,5,2,3,8,6] => 0011001 => [2,2,2,1] => 357
[6,1,7,5,4,2,8,3] => 1011101 => [1,1,3,1,1] => 439
[2,7,3,6,5,1,8,4] => 0101101 => [1,1,1,2,1,1] => 1006
[8,6,5,1,3,7,4,2] => 1110011 => [3,2,2] => 153
[5,7,6,2,4,8,1,3] => 0110010 => [1,2,2,1,1] => 594
[3,7,5,6,4,8,1,2] => 0101010 => [1,1,1,1,1,1,1] => 1623
[7,6,8,1,3,5,4,2] => 1010011 => [1,1,1,2,2] => 622
[2,8,4,6,1,7,5,3] => 0101011 => [1,1,1,1,1,2] => 1023
[2,8,6,4,7,3,5,1] => 0110101 => [1,2,1,1,1,1] => 969
[8,7,1,4,6,5,3,2] => 1100111 => [2,2,3] => 153
[3,5,8,6,7,1,4,2] => 0010101 => [2,1,1,1,1,1] => 969
[1,2,4,6,8,5,3,7] => 0000110 => [4,2,1] => 85
[3,1,5,8,6,2,4,7] => 1001100 => [1,2,2,2] => 363
[2,5,4,6,8,1,3,7] => 0100100 => [1,1,2,1,2] => 611
[6,5,2,4,7,8,1,3] => 1100010 => [2,3,1,1] => 256
[7,2,5,8,6,4,1,3] => 1001110 => [1,2,3,1] => 262
[5,2,8,3,4,7,6,1] => 1010011 => [1,1,1,2,2] => 622
[2,4,3,8,7,1,6,5] => 0101101 => [1,1,1,2,1,1] => 1006
[1,5,8,7,4,2,6,3] => 0011101 => [2,3,1,1] => 256
[6,8,7,5,4,3,1,2] => 0111110 => [1,5,1] => 37
[5,6,4,7,3,8,2,9,1] => 01010101 => [1,1,1,1,1,1,1,1] => 10176
[5,6,4,7,3,9,2,8,1] => 01010101 => [1,1,1,1,1,1,1,1] => 10176
[5,3,4,8,6,2,7,1] => 1001101 => [1,2,2,1,1] => 594
[5,4,6,3,7,2,8,1,9] => 10101010 => [1,1,1,1,1,1,1,1] => 10176
[3,4,5,8,6,2,7,1] => 0001101 => [3,2,1,1] => 256
[5,4,2,3,6,1,8,7] => 1100101 => [2,2,1,1,1] => 582
[5,1,7,4,3,6,8,2] => 1011001 => [1,1,2,2,1] => 611
[4,3,7,6,8,2,1,5] => 1010110 => [1,1,1,1,2,1] => 1023
[8,1,4,7,2,3,5,6] => 1001000 => [1,2,1,3] => 262
[6,1,8,5,2,7,3,4] => 1011010 => [1,1,2,1,1,1] => 984
[8,7,2,6,3,1,4,5] => 1101100 => [2,1,2,2] => 363
[8,7,1,6,4,5,2,3] => 1101010 => [2,1,1,1,1,1] => 969
[5,4,1,3,7,2,8,6] => 1100101 => [2,2,1,1,1] => 582
[8,3,4,7,6,2,1,5] => 1001110 => [1,2,3,1] => 262
[3,1,8,7,5,2,4,6] => 1011100 => [1,1,3,2] => 265
[6,5,8,7,2,4,3,1] => 1011011 => [1,1,2,1,2] => 611
[4,3,6,5,8,2,1,7] => 1010110 => [1,1,1,1,2,1] => 1023
[7,6,3,2,8,5,4,1] => 1110111 => [3,1,3] => 110
[3,2,6,8,7,1,4,5] => 1001100 => [1,2,2,2] => 363
[4,3,7,1,8,5,2,6] => 1010110 => [1,1,1,1,2,1] => 1023
[3,2,8,5,6,7,1,4] => 1010010 => [1,1,1,2,1,1] => 1006
[8,3,2,1,4,7,5,6] => 1110010 => [3,2,1,1] => 256
[4,7,3,1,8,5,2,6] => 0110110 => [1,2,1,2,1] => 603
[3,7,8,2,5,6,1,4] => 0010010 => [2,1,2,1,1] => 594
[7,5,1,4,2,3,6,8] => 1101000 => [2,1,1,3] => 262
[7,8,6,1,2,4,5,3] => 0110001 => [1,2,3,1] => 262
[1,5,3,4,7,8,6,2] => 0100011 => [1,1,3,2] => 265
[5,1,2,4,7,8,6,3] => 1000011 => [1,4,2] => 85
[5,1,7,8,6,2,3,4] => 1001100 => [1,2,2,2] => 363
[8,5,1,6,7,2,3,4] => 1100100 => [2,2,1,2] => 357
[7,5,1,2,4,6,8,3] => 1100001 => [2,4,1] => 85
[6,1,5,2,7,3,4,8] => 1010100 => [1,1,1,1,1,2] => 1023
[7,1,2,6,4,5,8,3] => 1001001 => [1,2,1,2,1] => 603
[1,7,3,6,4,5,8,2] => 0101001 => [1,1,1,1,2,1] => 1023
[1,8,3,6,4,5,7,2] => 0101001 => [1,1,1,1,2,1] => 1023
[8,1,6,2,7,3,4,5] => 1010100 => [1,1,1,1,1,2] => 1023
[7,1,6,2,5,3,4,8] => 1010100 => [1,1,1,1,1,2] => 1023
[8,1,6,2,5,3,4,7] => 1010100 => [1,1,1,1,1,2] => 1023
[8,1,7,2,5,3,4,6] => 1010100 => [1,1,1,1,1,2] => 1023
[8,1,2,7,4,5,6,3] => 1001001 => [1,2,1,2,1] => 603
[1,8,3,7,4,5,6,2] => 0101001 => [1,1,1,1,2,1] => 1023
[8,1,6,7,5,2,3,4] => 1001100 => [1,2,2,2] => 363
[7,3,1,2,6,4,5,8] => 1100100 => [2,2,1,2] => 357
[3,1,2,8,5,6,7,4] => 1001001 => [1,2,1,2,1] => 603
[6,3,1,2,7,4,5,8] => 1100100 => [2,2,1,2] => 357
[6,1,7,4,2,3,5,8] => 1011000 => [1,1,2,3] => 265
[1,7,3,4,6,8,5,2] => 0100011 => [1,1,3,2] => 265
[1,7,3,8,4,5,6,2] => 0101001 => [1,1,1,1,2,1] => 1023
[7,1,8,2,5,3,4,6] => 1010100 => [1,1,1,1,1,2] => 1023
[6,1,7,2,5,3,4,8] => 1010100 => [1,1,1,1,1,2] => 1023
[5,1,7,2,6,3,4,8] => 1010100 => [1,1,1,1,1,2] => 1023
[5,1,8,2,6,3,4,7] => 1010100 => [1,1,1,1,1,2] => 1023
[1,6,3,7,4,5,8,2] => 0101001 => [1,1,1,1,2,1] => 1023
[2,4,7,3,5,1,6,8] => 0010100 => [2,1,1,1,2] => 603
[2,4,8,6,3,5,1,7] => 0011010 => [2,2,1,1,1] => 582
[2,3,7,5,4,1,6,8] => 0011100 => [2,3,2] => 153
[3,4,6,2,1,5,8,7] => 0011001 => [2,2,2,1] => 357
[3,4,7,2,1,6,5,8] => 0011010 => [2,2,1,1,1] => 582
[2,6,8,3,5,1,4,7] => 0010100 => [2,1,1,1,2] => 603
[2,3,6,1,5,8,4,7] => 0010010 => [2,1,2,1,1] => 594
[2,3,7,1,6,5,8,4] => 0010101 => [2,1,1,1,1,1] => 969
[2,4,7,1,3,6,8,5] => 0010001 => [2,1,3,1] => 262
[5,4,7,8,1,3,2,6] => 1001010 => [1,2,1,1,1,1] => 969
[2,5,7,1,4,6,3,8] => 0010010 => [2,1,2,1,1] => 594
[2,4,7,1,6,3,5,8] => 0010100 => [2,1,1,1,2] => 603
[2,3,7,1,6,5,4,8] => 0010110 => [2,1,1,2,1] => 603
[2,5,7,1,4,3,6,8] => 0010100 => [2,1,1,1,2] => 603
[2,5,7,3,1,4,6,8] => 0011000 => [2,2,3] => 153
[3,4,7,2,1,6,8,5] => 0011001 => [2,2,2,1] => 357
[4,6,3,7,1,5,2,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,7,3,2,8,1,4,6] => 0110100 => [1,2,1,1,2] => 603
[2,6,5,7,1,8,4,3] => 0101011 => [1,1,1,1,1,2] => 1023
[3,6,8,5,4,1,7,2] => 0011101 => [2,3,1,1] => 256
[5,4,7,8,1,3,6,2] => 1001001 => [1,2,1,2,1] => 603
[2,5,7,1,4,6,8,3] => 0010001 => [2,1,3,1] => 262
[2,4,7,1,6,3,8,5] => 0010101 => [2,1,1,1,1,1] => 969
[2,4,7,1,6,8,3,5] => 0010010 => [2,1,2,1,1] => 594
[2,4,8,3,1,7,6,5] => 0011011 => [2,2,1,2] => 357
[1,8,3,4,5,6,7,9,2] => 01000001 => [1,1,5,1] => 244
[7,2,3,4,5,6,1,9,8] => 10000101 => [1,4,1,1,1] => 888
[2,1,9,4,5,6,7,8,3] => 10100001 => [1,1,1,4,1] => 934
[2,8,3,4,5,6,7,1,9] => 01000010 => [1,1,4,1,1] => 912
[8,6,5,1,2,4,3,7] => 1110010 => [3,2,1,1] => 256
[7,6,1,4,2,3,5,8] => 1101000 => [2,1,1,3] => 262
[6,5,1,4,8,3,2,7] => 1100110 => [2,2,2,1] => 357
[8,7,1,4,3,2,5,6] => 1101100 => [2,1,2,2] => 363
[8,7,5,1,4,2,3,6] => 1110100 => [3,1,1,2] => 259
[8,4,1,2,5,3,6,7] => 1100100 => [2,2,1,2] => 357
[8,6,1,4,2,5,3,7] => 1101010 => [2,1,1,1,1,1] => 969
[8,7,1,4,3,2,6,5] => 1101101 => [2,1,2,1,1] => 594
[8,7,6,3,1,5,4,2] => 1111011 => [4,1,2] => 85
[2,8,3,7,4,5,6,1] => 0101001 => [1,1,1,1,2,1] => 1023
[8,7,5,2,4,3,6,1] => 1110101 => [3,1,1,1,1] => 427
[2,9,1,8,7,6,5,4,3] => 01011111 => [1,1,1,5] => 244
[2,9,8,1,7,6,5,4,3] => 01101111 => [1,2,1,4] => 534
[4,2,5,7,3,1,6,8] => 1001100 => [1,2,2,2] => 363
[8,2,4,5,3,1,6,7] => 1001100 => [1,2,2,2] => 363
[8,4,5,1,3,2,6,7] => 1010100 => [1,1,1,1,1,2] => 1023
[4,3,7,5,2,1,6,8] => 1011100 => [1,1,3,2] => 265
[1,6,7,4,3,2,5,8] => 0011100 => [2,3,2] => 153
[1,4,5,7,3,2,6,8] => 0001100 => [3,2,2] => 153
[3,5,1,4,7,2,6,8] => 0100100 => [1,1,2,1,2] => 611
[2,5,1,4,7,8,3,6] => 0100010 => [1,1,3,1,1] => 439
[4,3,7,1,5,2,6,8] => 1010100 => [1,1,1,1,1,2] => 1023
[3,5,1,6,4,2,7,8] => 0101100 => [1,1,1,2,2] => 622
[6,4,3,1,7,2,5,8] => 1110100 => [3,1,1,2] => 259
[6,2,7,4,3,1,5,8] => 1011100 => [1,1,3,2] => 265
[2,6,4,1,7,3,5,8] => 0110100 => [1,2,1,1,2] => 603
[6,3,2,7,4,5,1,8] => 1101010 => [2,1,1,1,1,1] => 969
[7,2,4,1,3,6,8,5] => 1010001 => [1,1,1,3,1] => 450
[6,3,2,5,7,1,4,8] => 1100100 => [2,2,1,2] => 357
[3,2,6,5,7,1,4,8] => 1010100 => [1,1,1,1,1,2] => 1023
[1,7,3,2,5,6,4,8] => 0110010 => [1,2,2,1,1] => 594
[2,1,7,3,5,6,8,4] => 1010001 => [1,1,1,3,1] => 450
[2,1,6,3,5,7,8,4] => 1010001 => [1,1,1,3,1] => 450
[1,6,3,2,5,7,4,8] => 0110010 => [1,2,2,1,1] => 594
[1,4,6,5,2,7,3,8] => 0011010 => [2,2,1,1,1] => 582
[5,6,2,1,4,3,7,8] => 0110100 => [1,2,1,1,2] => 603
[2,5,1,6,4,3,7,8] => 0101100 => [1,1,1,2,2] => 622
[2,5,4,1,6,3,7,8] => 0110100 => [1,2,1,1,2] => 603
[4,6,1,5,2,7,3,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,6,5,3,7,2,4,8] => 0110100 => [1,2,1,1,2] => 603
[1,2,5,4,7,3,6,8] => 0010100 => [2,1,1,1,2] => 603
[1,2,5,3,4,8,7,6] => 0010011 => [2,1,2,2] => 363
[5,2,7,6,1,8,4,3] => 1011011 => [1,1,2,1,2] => 611
[5,8,2,6,1,7,4,3] => 0101011 => [1,1,1,1,1,2] => 1023
[1,7,8,2,4,6,5,3] => 0010011 => [2,1,2,2] => 363
[1,5,8,3,6,2,7,4] => 0010101 => [2,1,1,1,1,1] => 969
[6,8,7,1,4,5,2,3] => 0110010 => [1,2,2,1,1] => 594
[1,2,6,4,7,3,8,5] => 0010101 => [2,1,1,1,1,1] => 969
[1,2,7,8,3,5,6,4] => 0001001 => [3,1,2,1] => 259
[4,8,7,6,2,1,5,3] => 0111101 => [1,4,1,1] => 145
[2,7,4,5,8,1,6,3] => 0100101 => [1,1,2,1,1,1] => 984
[2,6,1,8,5,4,3,7] => 0101110 => [1,1,1,3,1] => 450
[5,8,6,2,3,4,1,7] => 0110010 => [1,2,2,1,1] => 594
[4,5,8,6,2,1,3,7] => 0011100 => [2,3,2] => 153
[6,4,7,5,8,2,1,3] => 1010110 => [1,1,1,1,2,1] => 1023
[6,3,7,4,2,5,8,1] => 1011001 => [1,1,2,2,1] => 611
[6,2,1,5,8,4,3,7] => 1100110 => [2,2,2,1] => 357
[7,5,6,2,4,3,8,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,6,2,5,7,3,8,1] => 0100101 => [1,1,2,1,1,1] => 984
[4,2,8,5,3,6,1,7] => 1011010 => [1,1,2,1,1,1] => 984
[8,1,7,4,5,6,2,3] => 1010010 => [1,1,1,2,1,1] => 1006
[2,1,7,8,4,5,6,3] => 1001001 => [1,2,1,2,1] => 603
[8,2,1,4,3,7,6,5] => 1101011 => [2,1,1,1,2] => 603
[7,6,5,3,1,2,8,4] => 1111001 => [4,2,1] => 85
[5,4,1,6,2,8,3,7] => 1101010 => [2,1,1,1,1,1] => 969
[6,2,3,1,7,8,4,5] => 1010010 => [1,1,1,2,1,1] => 1006
[3,1,8,6,7,2,4,5] => 1010100 => [1,1,1,1,1,2] => 1023
[4,2,5,1,8,6,7,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,5,3,7,1,6,8,2] => 0101001 => [1,1,1,1,2,1] => 1023
[4,2,8,5,3,6,7,1] => 1011001 => [1,1,2,2,1] => 611
[2,8,6,3,5,4,7,1] => 0110101 => [1,2,1,1,1,1] => 969
[3,5,2,8,6,4,7,1] => 0101101 => [1,1,1,2,1,1] => 1006
[7,3,5,1,6,4,8,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,1,4,7,2,6,8,3] => 1001001 => [1,2,1,2,1] => 603
[1,8,2,5,6,4,7,3] => 0100101 => [1,1,2,1,1,1] => 984
[2,7,1,4,8,5,6,3] => 0100101 => [1,1,2,1,1,1] => 984
[2,8,4,6,1,3,7,5] => 0101001 => [1,1,1,1,2,1] => 1023
[8,4,6,2,5,3,7,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,3,7,6,2,1,5,4] => 1011101 => [1,1,3,1,1] => 439
[8,5,2,7,6,1,4,3] => 1101101 => [2,1,2,1,1] => 594
[5,8,2,7,6,1,4,3] => 0101101 => [1,1,1,2,1,1] => 1006
[8,3,7,6,2,5,1,4] => 1011010 => [1,1,2,1,1,1] => 984
[7,3,8,6,5,1,4,2] => 1011101 => [1,1,3,1,1] => 439
[2,6,3,7,5,4,8,1] => 0101101 => [1,1,1,2,1,1] => 1006
[5,4,7,1,3,8,6,2] => 1010011 => [1,1,1,2,2] => 622
[2,8,5,1,4,7,3,6] => 0110010 => [1,2,2,1,1] => 594
[8,1,4,2,5,7,3,6] => 1010010 => [1,1,1,2,1,1] => 1006
[7,2,6,5,8,4,3,1] => 1010111 => [1,1,1,1,3] => 450
[3,4,8,5,6,2,7,1] => 0010101 => [2,1,1,1,1,1] => 969
[5,8,2,3,4,6,1,7] => 0100010 => [1,1,3,1,1] => 439
[6,1,3,4,2,5,7,8] => 1001000 => [1,2,1,3] => 262
[1,5,6,3,2,4,7,8] => 0011000 => [2,2,3] => 153
[6,3,5,2,4,1,7,8] => 1010100 => [1,1,1,1,1,2] => 1023
[7,8,3,5,2,4,6,1] => 0101001 => [1,1,1,1,2,1] => 1023
[2,4,5,7,3,6,1,8] => 0001010 => [3,1,1,1,1] => 427
[2,5,3,1,6,4,7,8] => 0110100 => [1,2,1,1,2] => 603
[6,5,1,3,4,2,7,8] => 1100100 => [2,2,1,2] => 357
[5,7,4,3,2,6,1,8] => 0111010 => [1,3,1,1,1] => 427
[6,8,7,4,3,5,1,2] => 0111010 => [1,3,1,1,1] => 427
[2,6,7,8,4,3,5,1] => 0001101 => [3,2,1,1] => 256
[1,7,8,4,5,3,6,2] => 0010101 => [2,1,1,1,1,1] => 969
[7,1,8,5,3,4,6,2] => 1011001 => [1,1,2,2,1] => 611
[5,7,4,2,1,6,3,8] => 0111010 => [1,3,1,1,1] => 427
[5,1,4,7,3,6,2,8] => 1001010 => [1,2,1,1,1,1] => 969
[7,4,8,6,3,5,2,1] => 1011011 => [1,1,2,1,2] => 611
[4,7,6,3,5,2,1,8] => 0110110 => [1,2,1,2,1] => 603
[1,6,5,8,7,4,2,3] => 0101110 => [1,1,1,3,1] => 450
[6,1,3,8,7,5,2,4] => 1001110 => [1,2,3,1] => 262
[7,6,2,1,8,3,5,4] => 1110101 => [3,1,1,1,1] => 427
[7,1,3,6,8,2,5,4] => 1000101 => [1,3,1,1,1] => 427
[1,7,5,6,8,2,4,3] => 0100101 => [1,1,2,1,1,1] => 984
[3,6,7,5,8,2,4,1] => 0010101 => [2,1,1,1,1,1] => 969
[1,7,4,5,2,8,6,3] => 0101011 => [1,1,1,1,1,2] => 1023
[7,5,4,2,1,8,6,3] => 1111011 => [4,1,2] => 85
[3,6,7,4,2,8,5,1] => 0011011 => [2,2,1,2] => 357
[4,6,3,2,7,8,5,1] => 0110011 => [1,2,2,2] => 363
[7,6,1,3,4,2,5,8] => 1100100 => [2,2,1,2] => 357
[7,8,2,6,4,5,3,1] => 0101011 => [1,1,1,1,1,2] => 1023
[7,2,5,4,6,1,3,8] => 1010100 => [1,1,1,1,1,2] => 1023
[7,1,2,4,5,6,3,8] => 1000010 => [1,4,1,1] => 145
[7,3,2,1,5,6,4,8] => 1110010 => [3,2,1,1] => 256
[3,6,2,1,7,5,4,8] => 0110110 => [1,2,1,2,1] => 603
[2,6,7,3,1,5,4,8] => 0011010 => [2,2,1,1,1] => 582
[2,1,6,4,7,5,3,8] => 1010110 => [1,1,1,1,2,1] => 1023
[7,2,8,5,6,4,3,1] => 1010111 => [1,1,1,1,3] => 450
[7,6,8,5,4,1,3,2] => 1011101 => [1,1,3,1,1] => 439
[7,1,8,4,6,5,3,2] => 1010111 => [1,1,1,1,3] => 450
[7,8,6,3,1,5,4,2] => 0111011 => [1,3,1,2] => 259
[7,6,1,4,5,3,2,8] => 1100110 => [2,2,2,1] => 357
[7,1,5,6,4,3,2,8] => 1001110 => [1,2,3,1] => 262
[4,1,3,8,6,2,7,5] => 1001101 => [1,2,2,1,1] => 594
[5,1,2,8,4,6,7,3] => 1001001 => [1,2,1,2,1] => 603
[5,6,3,2,8,1,7,4] => 0110101 => [1,2,1,1,1,1] => 969
[8,2,6,3,1,5,7,4] => 1011001 => [1,1,2,2,1] => 611
[8,2,5,6,7,4,3,1] => 1000111 => [1,3,3] => 110
[8,2,5,3,4,7,6,1] => 1010011 => [1,1,1,2,2] => 622
[7,5,3,2,4,1,8,6] => 1110101 => [3,1,1,1,1] => 427
[7,1,2,3,6,8,4,5] => 1000010 => [1,4,1,1] => 145
[6,7,2,8,3,4,5,1] => 0101001 => [1,1,1,1,2,1] => 1023
[3,1,8,4,6,5,7,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,1,2,3,8,4,7,5] => 1000101 => [1,3,1,1,1] => 427
[8,1,6,7,4,2,3,5] => 1001100 => [1,2,2,2] => 363
[8,1,6,4,5,2,3,7] => 1010100 => [1,1,1,1,1,2] => 1023
[8,6,4,7,2,3,5,1] => 1101001 => [2,1,1,2,1] => 603
[8,6,4,1,2,3,7,5] => 1110001 => [3,3,1] => 110
[8,6,1,4,2,5,7,3] => 1101001 => [2,1,1,2,1] => 603
[8,6,7,4,2,5,1,3] => 1011010 => [1,1,2,1,1,1] => 984
[8,6,4,2,5,3,7,1] => 1110101 => [3,1,1,1,1] => 427
[8,6,4,2,5,3,1,7] => 1110110 => [3,1,2,1] => 259
[8,6,4,2,7,3,1,5] => 1110110 => [3,1,2,1] => 259
[8,6,4,1,5,7,2,3] => 1110010 => [3,2,1,1] => 256
[8,6,4,2,1,5,7,3] => 1111001 => [4,2,1] => 85
[8,6,4,2,1,7,3,5] => 1111010 => [4,1,1,1] => 145
[8,6,1,4,7,2,5,3] => 1100101 => [2,2,1,1,1] => 582
[8,6,4,1,5,2,3,7] => 1110100 => [3,1,1,2] => 259
[8,6,7,1,4,5,2,3] => 1010010 => [1,1,1,2,1,1] => 1006
[8,6,4,5,2,7,3,1] => 1101011 => [2,1,1,1,2] => 603
[8,6,7,4,2,1,5,3] => 1011101 => [1,1,3,1,1] => 439
[8,6,4,7,2,1,5,3] => 1101101 => [2,1,2,1,1] => 594
[8,6,4,2,5,7,3,1] => 1110011 => [3,2,2] => 153
[8,6,4,2,5,1,7,3] => 1110101 => [3,1,1,1,1] => 427
[8,6,4,2,5,7,1,3] => 1110010 => [3,2,1,1] => 256
[3,4,7,5,8,2,6,1] => 0010101 => [2,1,1,1,1,1] => 969
[8,7,1,4,6,5,2,3] => 1100110 => [2,2,2,1] => 357
[8,3,7,6,4,5,1,2] => 1011010 => [1,1,2,1,1,1] => 984
[5,3,8,6,4,1,7,2] => 1011101 => [1,1,3,1,1] => 439
[6,1,2,3,4,5,7,8,9] => 10000000 => [1,7] => 8
[5,1,2,3,4,6,7,8,9] => 10000000 => [1,7] => 8
[4,1,2,3,5,6,7,8,9] => 10000000 => [1,7] => 8
[7,4,5,1,2,8,6,3] => 1010011 => [1,1,1,2,2] => 622
[6,4,7,1,8,5,2,3] => 1010110 => [1,1,1,1,2,1] => 1023
[5,7,4,2,3,8,6,1] => 0110011 => [1,2,2,2] => 363
[3,8,2,5,1,7,4,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,8,4,2,3,7,1,6] => 0110010 => [1,2,2,1,1] => 594
[4,8,5,2,1,7,3,6] => 0111010 => [1,3,1,1,1] => 427
[8,5,7,6,1,2,4,3] => 1011001 => [1,1,2,2,1] => 611
[6,8,7,5,2,4,1,3] => 0111010 => [1,3,1,1,1] => 427
[5,7,6,8,4,1,3,2] => 0101101 => [1,1,1,2,1,1] => 1006
[7,3,1,6,8,5,4,2] => 1100111 => [2,2,3] => 153
[5,3,1,7,4,8,6,2] => 1101011 => [2,1,1,1,2] => 603
[7,3,1,8,6,4,5,2] => 1101101 => [2,1,2,1,1] => 594
[8,6,4,1,7,3,2,5] => 1110110 => [3,1,2,1] => 259
[4,6,8,3,7,1,2,5] => 0010100 => [2,1,1,1,2] => 603
[3,5,2,8,4,7,1,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[6,4,8,3,7,2,1,5] => 1010110 => [1,1,1,1,2,1] => 1023
[3,6,2,8,7,4,1,5] => 0101110 => [1,1,1,3,1] => 450
[6,8,4,2,7,3,1,5] => 0110110 => [1,2,1,2,1] => 603
[9,8,2,3,4,5,6,7,1] => 11000001 => [2,5,1] => 138
[8,9,2,3,4,5,6,7,1] => 01000001 => [1,1,5,1] => 244
[9,8,7,6,4,5,3,2,1] => 11110111 => [4,1,3] => 220
[5,6,7,9,8,4,3,2,1] => 00011111 => [3,5] => 56
[5,6,7,8,9,1,4,3,2] => 00001011 => [4,1,1,2] => 526
[3,4,7,8,5,1,2,6] => 0001100 => [3,2,2] => 153
[4,7,3,2,5,6,8,1] => 0110001 => [1,2,3,1] => 262
[3,2,7,6,4,5,8,1] => 1011001 => [1,1,2,2,1] => 611
[1,7,3,6,8,4,2,5] => 0100110 => [1,1,2,2,1] => 611
[2,3,6,5,1,8,7,4] => 0011011 => [2,2,1,2] => 357
[8,3,1,2,6,4,7,5] => 1100101 => [2,2,1,1,1] => 582
[1,7,8,2,4,3,5,6] => 0010100 => [2,1,1,1,2] => 603
[3,6,4,7,1,2,8,5] => 0101001 => [1,1,1,1,2,1] => 1023
[5,7,4,8,1,3,2,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,3,7,8,1,5,2,6] => 1001010 => [1,2,1,1,1,1] => 969
[8,5,4,2,6,1,7,3] => 1110101 => [3,1,1,1,1] => 427
[3,2,6,8,7,4,1,5] => 1001110 => [1,2,3,1] => 262
[2,3,7,5,1,8,6,4] => 0011011 => [2,2,1,2] => 357
[6,3,1,2,8,7,4,5] => 1100110 => [2,2,2,1] => 357
[5,2,1,3,8,7,6,4] => 1100111 => [2,2,3] => 153
[7,2,1,5,3,8,4,6] => 1101010 => [2,1,1,1,1,1] => 969
[1,5,8,2,4,3,6,7] => 0010100 => [2,1,1,1,2] => 603
[4,3,6,8,1,5,2,7] => 1001010 => [1,2,1,1,1,1] => 969
[5,4,6,8,3,1,7,2] => 1001101 => [1,2,2,1,1] => 594
[3,6,8,4,5,1,7,2] => 0010101 => [2,1,1,1,1,1] => 969
[8,6,1,7,2,4,3,5] => 1101010 => [2,1,1,1,1,1] => 969
[7,3,1,2,8,6,4,5] => 1100110 => [2,2,2,1] => 357
[2,3,7,6,1,8,5,4] => 0011011 => [2,2,1,2] => 357
[3,2,7,8,6,4,1,5] => 1001110 => [1,2,3,1] => 262
[6,2,8,3,1,4,7,5] => 1011001 => [1,1,2,2,1] => 611
[3,1,2,8,7,4,5,6] => 1001100 => [1,2,2,2] => 363
[2,1,3,8,7,4,6,5] => 1001101 => [1,2,2,1,1] => 594
[2,1,3,8,7,4,5,6] => 1001100 => [1,2,2,2] => 363
[1,6,8,3,2,4,7,5] => 0011001 => [2,2,2,1] => 357
[8,5,1,7,2,4,3,6] => 1101010 => [2,1,1,1,1,1] => 969
[8,4,1,7,3,2,5,6] => 1101100 => [2,1,2,2] => 363
[8,3,1,6,2,7,5,4] => 1101011 => [2,1,1,1,2] => 603
[1,3,2,8,7,6,4,5] => 0101110 => [1,1,1,3,1] => 450
[2,1,3,8,7,6,4,5] => 1001110 => [1,2,3,1] => 262
[1,6,3,7,2,5,4,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,7,2,4,6,3,5,8] => 0100100 => [1,1,2,1,2] => 611
[5,7,2,8,4,1,3,6] => 0101100 => [1,1,1,2,2] => 622
[5,6,2,8,4,1,3,7] => 0101100 => [1,1,1,2,2] => 622
[2,4,8,3,1,6,7,5] => 0011001 => [2,2,2,1] => 357
[3,5,8,4,2,1,6,7] => 0011100 => [2,3,2] => 153
[2,5,8,3,1,4,6,7] => 0011000 => [2,2,3] => 153
[2,8,1,3,5,7,4,6] => 0100010 => [1,1,3,1,1] => 439
[5,4,7,8,3,2,6,1] => 1001101 => [1,2,2,1,1] => 594
[3,6,8,2,5,1,4,7] => 0010100 => [2,1,1,1,2] => 603
[3,6,8,7,2,5,4,1] => 0011011 => [2,2,1,2] => 357
[3,4,6,5,8,2,1,7] => 0010110 => [2,1,1,2,1] => 603
[2,4,6,7,8,3,5,1] => 0000101 => [4,1,1,1] => 145
[1,4,2,5,7,6,3,8] => 0100110 => [1,1,2,2,1] => 611
[1,4,2,6,8,5,3,7] => 0100110 => [1,1,2,2,1] => 611
[1,2,6,8,3,5,4,7] => 0001010 => [3,1,1,1,1] => 427
[1,6,8,3,5,4,2,7] => 0010110 => [2,1,1,2,1] => 603
[1,5,3,2,4,6,8,7] => 0110001 => [1,2,3,1] => 262
[1,5,8,7,6,3,2,4] => 0011110 => [2,4,1] => 85
[1,5,7,6,3,2,4,8] => 0011100 => [2,3,2] => 153
[1,6,3,2,4,7,5,8] => 0110010 => [1,2,2,1,1] => 594
[1,6,3,2,4,8,7,5] => 0110011 => [1,2,2,2] => 363
[1,2,7,6,4,3,5,8] => 0011100 => [2,3,2] => 153
[1,8,7,5,2,4,6,3] => 0111001 => [1,3,2,1] => 259
[1,7,5,2,4,6,3,8] => 0110010 => [1,2,2,1,1] => 594
[1,7,4,2,5,3,6,8] => 0110100 => [1,2,1,1,2] => 603
[1,8,4,7,5,2,6,3] => 0101101 => [1,1,1,2,1,1] => 1006
[1,7,5,2,3,6,4,8] => 0110010 => [1,2,2,1,1] => 594
[1,7,5,2,6,3,4,8] => 0110100 => [1,2,1,1,2] => 603
[1,6,3,7,4,2,5,8] => 0101100 => [1,1,1,2,2] => 622
[1,6,3,2,7,5,4,8] => 0110110 => [1,2,1,2,1] => 603
[1,4,7,5,2,6,3,8] => 0011010 => [2,2,1,1,1] => 582
[1,3,6,4,8,7,5,2] => 0010111 => [2,1,1,3] => 262
[1,3,7,6,4,2,5,8] => 0011100 => [2,3,2] => 153
[1,3,2,4,8,5,7,6] => 0100101 => [1,1,2,1,1,1] => 984
[1,3,8,7,5,2,4,6] => 0011100 => [2,3,2] => 153
[1,4,6,3,2,7,5,8] => 0011010 => [2,2,1,1,1] => 582
[1,4,6,3,2,8,7,5] => 0011011 => [2,2,1,2] => 357
[1,5,7,6,4,2,3,8] => 0011100 => [2,3,2] => 153
[1,6,3,2,8,4,7,5] => 0110101 => [1,2,1,1,1,1] => 969
[1,6,3,5,2,7,4,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,6,3,5,2,8,7,4] => 0101011 => [1,1,1,1,1,2] => 1023
[1,8,3,7,5,2,4,6] => 0101100 => [1,1,1,2,2] => 622
[6,4,7,1,5,3,8,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,3,8,2,6,4,7,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,3,8,2,6,5,7,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[2,6,1,8,3,4,7,5] => 0101001 => [1,1,1,1,2,1] => 1023
[5,7,1,4,8,2,3,6] => 0100100 => [1,1,2,1,2] => 611
[6,5,7,1,4,3,8,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,8,3,5,7,6,1,2] => 0100110 => [1,1,2,2,1] => 611
[5,7,6,1,2,4,8,3] => 0110001 => [1,2,3,1] => 262
[4,8,3,5,7,6,2,1] => 0100111 => [1,1,2,3] => 265
[1,3,4,2,8,5,7,6] => 0010101 => [2,1,1,1,1,1] => 969
[5,7,6,2,4,8,3,1] => 0110011 => [1,2,2,2] => 363
[6,7,5,2,3,8,4,1] => 0110011 => [1,2,2,2] => 363
[6,7,5,3,8,4,2,1] => 0110111 => [1,2,1,3] => 262
[3,2,1,4,8,5,7,6] => 1100101 => [2,2,1,1,1] => 582
[7,3,1,4,2,6,5,8] => 1101010 => [2,1,1,1,1,1] => 969
[7,4,1,6,2,5,3,8] => 1101010 => [2,1,1,1,1,1] => 969
[5,4,1,8,2,6,3,7] => 1101010 => [2,1,1,1,1,1] => 969
[5,3,1,8,2,6,4,7] => 1101010 => [2,1,1,1,1,1] => 969
[4,7,1,5,2,6,3,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[6,5,1,4,2,7,3,8] => 1101010 => [2,1,1,1,1,1] => 969
[1,8,7,3,4,5,2,6] => 0110010 => [1,2,2,1,1] => 594
[1,8,9,3,4,5,6,7,2] => 00100001 => [2,1,4,1] => 534
[1,8,7,4,5,2,3,6] => 0110100 => [1,2,1,1,2] => 603
[1,2,6,8,7,3,4,5] => 0001100 => [3,2,2] => 153
[1,3,7,8,4,5,6,2] => 0001001 => [3,1,2,1] => 259
[8,4,2,3,1,6,5,7] => 1101010 => [2,1,1,1,1,1] => 969
[6,4,5,2,8,1,7,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,8,6,2,3,1,7,5] => 0110101 => [1,2,1,1,1,1] => 969
[6,4,2,1,8,5,3,7] => 1110110 => [3,1,2,1] => 259
[4,2,6,1,5,8,3,7] => 1010010 => [1,1,1,2,1,1] => 1006
[6,4,2,3,5,8,1,7] => 1100010 => [2,3,1,1] => 256
[2,8,6,4,5,1,7,3] => 0110101 => [1,2,1,1,1,1] => 969
[8,2,4,6,7,1,5,3] => 1000101 => [1,3,1,1,1] => 427
[2,6,3,1,7,4,8,5] => 0110101 => [1,2,1,1,1,1] => 969
[6,5,1,8,3,2,7,4] => 1101101 => [2,1,2,1,1] => 594
[1,4,3,7,2,8,6,5] => 0101011 => [1,1,1,1,1,2] => 1023
[1,8,7,4,5,3,2,6] => 0110110 => [1,2,1,2,1] => 603
[2,8,3,1,4,5,7,6] => 0110001 => [1,2,3,1] => 262
[3,2,6,7,8,4,5,1] => 1000101 => [1,3,1,1,1] => 427
[1,7,4,6,3,8,2,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,6,4,1,3,8,2,7] => 0110010 => [1,2,2,1,1] => 594
[4,5,3,1,8,7,6,2] => 0110111 => [1,2,1,3] => 262
[6,3,4,2,7,8,5,1] => 1010011 => [1,1,1,2,2] => 622
[8,7,4,5,1,6,3,2] => 1101011 => [2,1,1,1,2] => 603
[6,2,7,8,1,3,5,4] => 1001001 => [1,2,1,2,1] => 603
[5,1,8,4,3,7,2,6] => 1011010 => [1,1,2,1,1,1] => 984
[7,2,8,1,4,5,6,3] => 1010001 => [1,1,1,3,1] => 450
[1,4,8,2,5,6,7,3] => 0010001 => [2,1,3,1] => 262
[8,1,6,7,2,5,4,3] => 1001011 => [1,2,1,1,2] => 603
[7,5,2,3,6,8,4,1] => 1100011 => [2,3,2] => 153
[8,1,4,6,5,3,2,7] => 1001110 => [1,2,3,1] => 262
[8,1,4,7,6,5,2,3] => 1001110 => [1,2,3,1] => 262
[8,1,2,7,6,5,4,3] => 1001111 => [1,2,4] => 85
[4,5,8,1,6,7,2,3] => 0010010 => [2,1,2,1,1] => 594
[3,7,2,5,8,4,6,1] => 0100101 => [1,1,2,1,1,1] => 984
[6,7,8,4,1,5,2,3] => 0011010 => [2,2,1,1,1] => 582
[6,2,8,3,5,1,4,7] => 1010100 => [1,1,1,1,1,2] => 1023
[6,2,7,4,5,3,1,8] => 1010110 => [1,1,1,1,2,1] => 1023
[6,8,2,5,3,4,1,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[6,8,7,5,4,1,2,3] => 0111100 => [1,4,2] => 85
[7,4,5,6,1,8,2,3] => 1001010 => [1,2,1,1,1,1] => 969
[6,3,5,2,8,1,7,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,1,8,7,4,5,2,3] => 1011010 => [1,1,2,1,1,1] => 984
[4,8,7,1,6,3,2,5] => 0110110 => [1,2,1,2,1] => 603
[4,8,2,7,5,3,6,1] => 0101101 => [1,1,1,2,1,1] => 1006
[1,3,2,6,8,7,4,5] => 0100110 => [1,1,2,2,1] => 611
[1,3,8,2,5,4,6,7] => 0010100 => [2,1,1,1,2] => 603
[1,6,2,5,8,7,3,4] => 0100110 => [1,1,2,2,1] => 611
[1,6,8,7,2,3,5,4] => 0011001 => [2,2,2,1] => 357
[1,6,8,7,2,5,3,4] => 0011010 => [2,2,1,1,1] => 582
[1,5,2,4,8,3,6,7] => 0100100 => [1,1,2,1,2] => 611
[1,2,4,5,8,6,3,7] => 0000110 => [4,2,1] => 85
[1,2,8,3,5,4,7,6] => 0010101 => [2,1,1,1,1,1] => 969
[1,3,8,2,5,4,7,6] => 0010101 => [2,1,1,1,1,1] => 969
[1,6,7,5,2,4,8,3] => 0011001 => [2,2,2,1] => 357
[1,5,6,4,7,2,3,8] => 0010100 => [2,1,1,1,2] => 603
[1,7,4,2,5,8,3,6] => 0110010 => [1,2,2,1,1] => 594
[1,6,4,3,7,5,2,8] => 0110110 => [1,2,1,2,1] => 603
[1,6,5,4,7,2,3,8] => 0110100 => [1,2,1,1,2] => 603
[1,7,3,2,6,4,8,5] => 0110101 => [1,2,1,1,1,1] => 969
[1,5,8,2,3,6,7,4] => 0010001 => [2,1,3,1] => 262
[1,3,2,6,8,5,4,7] => 0100110 => [1,1,2,2,1] => 611
[1,6,3,2,7,4,5,8] => 0110100 => [1,2,1,1,2] => 603
[1,7,8,5,4,2,3,6] => 0011100 => [2,3,2] => 153
[1,8,4,2,3,6,5,7] => 0110010 => [1,2,2,1,1] => 594
[1,4,2,7,5,3,8,6] => 0101101 => [1,1,1,2,1,1] => 1006
[1,5,7,6,2,4,3,8] => 0011010 => [2,2,1,1,1] => 582
[1,8,4,7,3,2,6,5] => 0101101 => [1,1,1,2,1,1] => 1006
[1,3,8,4,2,6,5,7] => 0011010 => [2,2,1,1,1] => 582
[1,7,4,2,6,5,8,3] => 0110101 => [1,2,1,1,1,1] => 969
[1,6,5,8,3,7,4,2] => 0101011 => [1,1,1,1,1,2] => 1023
[1,7,4,8,3,2,5,6] => 0101100 => [1,1,1,2,2] => 622
[1,4,8,3,2,7,5,6] => 0011010 => [2,2,1,1,1] => 582
[1,8,3,6,4,5,2,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,6,4,7,3,2,8,5] => 0101101 => [1,1,1,2,1,1] => 1006
[8,2,3,7,4,5,6,1] => 1001001 => [1,2,1,2,1] => 603
[8,5,7,2,3,6,4,1] => 1010011 => [1,1,1,2,2] => 622
[7,5,2,1,6,8,3,4] => 1110010 => [3,2,1,1] => 256
[7,6,1,5,4,8,2,3] => 1101010 => [2,1,1,1,1,1] => 969
[7,6,3,2,1,8,4,5] => 1111010 => [4,1,1,1] => 145
[2,8,7,3,4,6,1,5] => 0110010 => [1,2,2,1,1] => 594
[6,5,1,3,7,2,8,4] => 1100101 => [2,2,1,1,1] => 582
[8,1,7,3,4,5,2,6] => 1010010 => [1,1,1,2,1,1] => 1006
[7,1,8,3,4,5,2,6] => 1010010 => [1,1,1,2,1,1] => 1006
[6,8,7,3,4,2,1,5] => 0110110 => [1,2,1,2,1] => 603
[3,8,7,1,2,4,5,6] => 0110000 => [1,2,4] => 85
[1,8,5,3,4,6,2,7] => 0110010 => [1,2,2,1,1] => 594
[7,1,6,5,4,3,8,2] => 1011101 => [1,1,3,1,1] => 439
[7,1,3,6,4,5,8,2] => 1001001 => [1,2,1,2,1] => 603
[7,1,5,3,6,4,8,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,1,5,3,7,8,2,4] => 1010010 => [1,1,1,2,1,1] => 1006
[5,8,7,1,2,6,3,4] => 0110010 => [1,2,2,1,1] => 594
[6,8,2,3,4,7,1,5] => 0100010 => [1,1,3,1,1] => 439
[5,1,7,3,8,6,2,4] => 1010110 => [1,1,1,1,2,1] => 1023
[6,1,3,2,4,7,8,5] => 1010001 => [1,1,1,3,1] => 450
[6,2,1,3,4,7,8,5] => 1100001 => [2,4,1] => 85
[3,4,5,6,1,8,9,2,7] => 00010010 => [3,1,2,1,1] => 1560
[3,4,5,6,8,1,9,2,7] => 00001010 => [4,1,1,1,1] => 888
[3,4,5,6,8,9,1,2,7] => 00000100 => [5,1,2] => 138
[2,4,5,1,6,7,8,9,3] => 00100001 => [2,1,4,1] => 534
[2,3,4,1,6,7,8,9,5] => 00100001 => [2,1,4,1] => 534
[3,4,5,6,1,2,9,7,8] => 00010010 => [3,1,2,1,1] => 1560
[3,4,5,6,8,1,2,7,9] => 00001000 => [4,1,3] => 220
[3,4,5,1,6,7,8,2,9] => 00100010 => [2,1,3,1,1] => 1580
[5,6,1,7,8,9,2,3,4] => 01000100 => [1,1,3,1,2] => 1608
[1,3,5,2,6,7,8,9,4] => 00100001 => [2,1,4,1] => 534
[2,1,4,3,6,7,8,9,5] => 10100001 => [1,1,1,4,1] => 934
[2,3,1,5,6,7,8,9,4] => 01000001 => [1,1,5,1] => 244
[3,2,5,8,7,4,1,6] => 1001110 => [1,2,3,1] => 262
[4,2,5,8,7,3,1,6] => 1001110 => [1,2,3,1] => 262
[8,3,4,1,6,5,2,7] => 1010110 => [1,1,1,1,2,1] => 1023
[3,4,8,5,7,2,1,6] => 0010110 => [2,1,1,2,1] => 603
[3,6,4,8,5,7,2,1] => 0101011 => [1,1,1,1,1,2] => 1023
[5,8,4,7,3,6,2,1] => 0101011 => [1,1,1,1,1,2] => 1023
[4,2,8,7,3,1,6,5] => 1011101 => [1,1,3,1,1] => 439
[6,5,8,2,1,7,4,3] => 1011011 => [1,1,2,1,2] => 611
[6,1,4,3,8,7,2,5] => 1010110 => [1,1,1,1,2,1] => 1023
[5,1,3,2,6,8,7,4] => 1010011 => [1,1,1,2,2] => 622
[6,1,3,8,7,2,4,5] => 1001100 => [1,2,2,2] => 363
[1,2,8,4,5,7,3,6] => 0010010 => [2,1,2,1,1] => 594
[4,2,1,8,7,6,3,5] => 1101110 => [2,1,3,1] => 262
[3,2,5,8,7,1,4,6] => 1001100 => [1,2,2,2] => 363
[5,6,3,8,7,2,1,4] => 0101110 => [1,1,1,3,1] => 450
[2,5,8,4,7,1,6,3] => 0010101 => [2,1,1,1,1,1] => 969
[1,6,2,4,8,5,7,3] => 0100101 => [1,1,2,1,1,1] => 984
[3,1,6,5,8,7,2,4] => 1010110 => [1,1,1,1,2,1] => 1023
[4,8,5,3,6,7,1,2] => 0110010 => [1,2,2,1,1] => 594
[1,8,5,3,4,7,6,2] => 0110011 => [1,2,2,2] => 363
[2,7,1,3,6,4,5,8] => 0100100 => [1,1,2,1,2] => 611
[8,1,7,3,5,4,6,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[1,8,6,3,2,5,4,7] => 0111010 => [1,3,1,1,1] => 427
[3,2,4,8,5,7,1,6] => 1001010 => [1,2,1,1,1,1] => 969
[8,1,2,4,7,5,6,3] => 1000101 => [1,3,1,1,1] => 427
[6,4,5,8,3,1,7,2] => 1001101 => [1,2,2,1,1] => 594
[8,6,2,1,5,7,3,4] => 1110010 => [3,2,1,1] => 256
[4,6,2,8,5,3,7,1] => 0101101 => [1,1,1,2,1,1] => 1006
[8,7,2,4,1,5,3,6] => 1101010 => [2,1,1,1,1,1] => 969
[7,5,3,4,8,6,2,1] => 1100111 => [2,2,3] => 153
[2,8,3,1,4,6,7,5] => 0110001 => [1,2,3,1] => 262
[4,3,6,5,1,2,7,8] => 1011000 => [1,1,2,3] => 265
[5,8,3,7,6,4,2,1] => 0101111 => [1,1,1,4] => 148
[1,3,8,7,6,5,2,4] => 0011110 => [2,4,1] => 85
[4,8,7,2,6,3,1,5] => 0110110 => [1,2,1,2,1] => 603
[1,8,7,2,6,3,5,4] => 0110101 => [1,2,1,1,1,1] => 969
[8,7,2,1,4,3,5,6] => 1110100 => [3,1,1,2] => 259
[2,8,7,1,6,3,4,5] => 0110100 => [1,2,1,1,2] => 603
[4,2,8,7,6,5,1,3] => 1011110 => [1,1,4,1] => 148
[8,4,2,7,6,5,3,1] => 1101111 => [2,1,4] => 85
[6,8,7,5,2,4,3,1] => 0111011 => [1,3,1,2] => 259
[1,2,5,7,4,8,6,3] => 0001011 => [3,1,1,2] => 259
[6,2,1,8,7,5,3,4] => 1101110 => [2,1,3,1] => 262
[6,3,8,7,4,5,2,1] => 1011011 => [1,1,2,1,2] => 611
[2,8,3,4,1,5,6,7] => 0101000 => [1,1,1,1,3] => 450
[1,3,7,5,4,8,6,2] => 0011011 => [2,2,1,2] => 357
[4,5,6,3,1,8,2,7] => 0011010 => [2,2,1,1,1] => 582
[5,2,1,4,3,6,8,7] => 1101001 => [2,1,1,2,1] => 603
[1,5,6,3,8,4,2,7] => 0010110 => [2,1,1,2,1] => 603
[2,6,5,3,8,4,1,7] => 0110110 => [1,2,1,2,1] => 603
[5,7,3,8,4,2,6,1] => 0101101 => [1,1,1,2,1,1] => 1006
[5,3,6,2,8,4,1,7] => 1010110 => [1,1,1,1,2,1] => 1023
[2,3,6,5,4,8,1,7] => 0011010 => [2,2,1,1,1] => 582
[3,7,5,4,8,2,6,1] => 0110101 => [1,2,1,1,1,1] => 969
[5,3,7,1,2,8,4,6] => 1010010 => [1,1,1,2,1,1] => 1006
[6,3,8,7,2,5,4,1] => 1011011 => [1,1,2,1,2] => 611
[2,8,7,6,1,5,3,4] => 0111010 => [1,3,1,1,1] => 427
[9,7,8,5,4,3,2,1,6] => 10111110 => [1,1,5,1] => 244
[1,2,3,4,6,5,7,8,9] => 00001000 => [4,1,3] => 220
[1,2,3,5,4,6,7,8,9] => 00010000 => [3,1,4] => 220
[6,8,4,1,7,5,2,3] => 0110110 => [1,2,1,2,1] => 603
[8,1,4,6,7,5,2,3] => 1000110 => [1,3,2,1] => 259
[2,6,8,1,4,7,5,3] => 0010011 => [2,1,2,2] => 363
[6,4,8,1,2,7,5,3] => 1010011 => [1,1,1,2,2] => 622
[8,1,4,6,7,2,5,3] => 1000101 => [1,3,1,1,1] => 427
[8,2,1,6,7,4,5,3] => 1100101 => [2,2,1,1,1] => 582
[8,2,6,1,7,4,5,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,2,8,1,6,7,5,3] => 1010011 => [1,1,1,2,2] => 622
[8,1,2,6,4,7,5,3] => 1001011 => [1,2,1,1,2] => 603
[8,4,1,6,2,7,5,3] => 1101011 => [2,1,1,1,2] => 603
[4,8,1,2,6,7,5,3] => 0100011 => [1,1,3,2] => 265
[4,8,2,1,6,7,5,3] => 0110011 => [1,2,2,2] => 363
[8,1,6,2,4,7,5,3] => 1010011 => [1,1,1,2,2] => 622
[8,2,4,6,1,7,5,3] => 1001011 => [1,2,1,1,2] => 603
[5,4,7,6,3,1,2,8] => 1011100 => [1,1,3,2] => 265
[3,6,4,8,1,5,2,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,6,8,4,1,5,2,7] => 0011010 => [2,2,1,1,1] => 582
[8,7,1,4,2,3,5,6] => 1101000 => [2,1,1,3] => 262
[3,8,6,4,1,5,2,7] => 0111010 => [1,3,1,1,1] => 427
[8,2,6,5,7,1,3,4] => 1010100 => [1,1,1,1,1,2] => 1023
[4,6,1,3,2,8,7,5] => 0101011 => [1,1,1,1,1,2] => 1023
[7,1,4,8,2,3,6,5] => 1001001 => [1,2,1,2,1] => 603
[4,5,3,6,7,1,8,2] => 0100101 => [1,1,2,1,1,1] => 984
[1,4,7,8,3,5,2,6] => 0001010 => [3,1,1,1,1] => 427
[4,6,1,3,5,2,8,7] => 0100101 => [1,1,2,1,1,1] => 984
[2,5,1,4,8,3,7,6] => 0100101 => [1,1,2,1,1,1] => 984
[6,1,2,5,4,8,7,3] => 1001011 => [1,2,1,1,2] => 603
[8,4,1,7,3,5,6,2] => 1101001 => [2,1,1,2,1] => 603
[8,4,1,2,5,7,3,6] => 1100010 => [2,3,1,1] => 256
[2,4,5,6,8,3,1,7] => 0000110 => [4,2,1] => 85
[3,4,5,8,6,2,1,7] => 0001110 => [3,3,1] => 110
[4,5,1,8,6,3,7,2] => 0101101 => [1,1,1,2,1,1] => 1006
[1,8,2,3,4,5,9,6,7] => 01000010 => [1,1,4,1,1] => 912
[1,3,4,5,6,8,9,2,7] => 00000010 => [6,1,1] => 50
[8,3,7,2,1,6,5,4] => 1011011 => [1,1,2,1,2] => 611
[8,4,7,6,2,5,1,3] => 1011010 => [1,1,2,1,1,1] => 984
[8,4,7,3,6,2,1,5] => 1010110 => [1,1,1,1,2,1] => 1023
[3,8,7,5,6,4,1,2] => 0110110 => [1,2,1,2,1] => 603
[3,8,7,5,6,2,1,4] => 0110110 => [1,2,1,2,1] => 603
[3,8,7,5,6,2,4,1] => 0110101 => [1,2,1,1,1,1] => 969
[2,8,7,5,6,4,1,3] => 0110110 => [1,2,1,2,1] => 603
[4,5,2,3,6,7,8,9,1] => 01000001 => [1,1,5,1] => 244
[4,3,2,5,6,7,8,9,1] => 11000001 => [2,5,1] => 138
[5,6,7,2,3,4,8,9,1] => 00100001 => [2,1,4,1] => 534
[5,3,6,2,4,7,8,9,1] => 10100001 => [1,1,1,4,1] => 934
[5,4,3,2,6,7,8,9,1] => 11100001 => [3,4,1] => 220
[6,3,7,8,2,4,5,9,1] => 10010001 => [1,2,1,3,1] => 1612
[6,7,4,5,2,3,8,9,1] => 01010001 => [1,1,1,1,3,1] => 2790
[6,4,3,7,2,5,8,9,1] => 11010001 => [2,1,1,3,1] => 1612
[7,8,4,5,9,2,3,6,1] => 01001001 => [1,1,2,1,2,1] => 3732
[7,4,3,8,9,2,5,6,1] => 11001001 => [2,2,1,2,1] => 2162
[7,5,8,3,6,2,4,9,1] => 10101001 => [1,1,1,1,1,2,1] => 6344
[7,5,4,3,8,2,6,9,1] => 11101001 => [3,1,1,2,1] => 1576
[7,6,5,4,3,2,8,9,1] => 11111001 => [5,2,1] => 138
[8,6,4,9,3,7,2,5,1] => 11010101 => [2,1,1,1,1,1,1] => 5976
[8,6,5,4,3,9,2,7,1] => 11110101 => [4,1,1,1,1] => 888
[1,5,6,3,8,2,7,4] => 0010101 => [2,1,1,1,1,1] => 969
[2,6,3,8,4,7,1,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,6,3,5,7,8,1,4] => 0100010 => [1,1,3,1,1] => 439
[1,5,6,3,7,2,8,4] => 0010101 => [2,1,1,1,1,1] => 969
[1,7,5,3,6,2,8,4] => 0110101 => [1,2,1,1,1,1] => 969
[1,5,7,3,4,2,8,6] => 0010101 => [2,1,1,1,1,1] => 969
[1,5,8,3,4,2,7,6] => 0010101 => [2,1,1,1,1,1] => 969
[1,4,5,3,7,2,8,6] => 0010101 => [2,1,1,1,1,1] => 969
[1,4,5,3,8,2,7,6] => 0010101 => [2,1,1,1,1,1] => 969
[6,5,1,4,2,7,8,3] => 1101001 => [2,1,1,2,1] => 603
[6,5,1,4,2,8,7,3] => 1101011 => [2,1,1,1,2] => 603
[1,7,5,4,2,8,6,3] => 0111011 => [1,3,1,2] => 259
[5,1,6,8,3,7,2,4] => 1001010 => [1,2,1,1,1,1] => 969
[3,8,5,2,1,4,7,6] => 0111001 => [1,3,2,1] => 259
[3,5,4,8,2,6,7,1] => 0101001 => [1,1,1,1,2,1] => 1023
[5,4,7,1,8,6,3,2] => 1010111 => [1,1,1,1,3] => 450
[2,4,1,5,3,6,7,8,9] => 01010000 => [1,1,1,1,4] => 934
[1,4,8,2,6,5,3,7] => 0010110 => [2,1,1,2,1] => 603
[8,5,1,3,6,2,4,7] => 1100100 => [2,2,1,2] => 357
[7,5,1,8,3,4,2,6] => 1101010 => [2,1,1,1,1,1] => 969
[5,2,8,1,7,4,3,6] => 1010110 => [1,1,1,1,2,1] => 1023
[1,4,8,2,6,7,3,5] => 0010010 => [2,1,2,1,1] => 594
[1,2,5,6,8,7,3,4] => 0000110 => [4,2,1] => 85
[1,5,6,8,2,7,4,3] => 0001011 => [3,1,1,2] => 259
[2,6,7,3,4,1,8,5] => 0010101 => [2,1,1,1,1,1] => 969
[1,6,5,7,8,2,4,3] => 0100101 => [1,1,2,1,1,1] => 984
[1,5,6,7,2,8,4,3] => 0001011 => [3,1,1,2] => 259
[3,7,6,1,8,2,4,5] => 0110100 => [1,2,1,1,2] => 603
[1,3,7,2,6,4,8,5] => 0010101 => [2,1,1,1,1,1] => 969
[1,5,8,6,7,3,4,2] => 0010101 => [2,1,1,1,1,1] => 969
[1,6,5,8,7,2,4,3] => 0101101 => [1,1,1,2,1,1] => 1006
[1,5,7,6,2,8,3,4] => 0011010 => [2,2,1,1,1] => 582
[1,2,5,8,6,7,4,3] => 0001011 => [3,1,1,2] => 259
[1,2,6,5,7,3,8,4] => 0010101 => [2,1,1,1,1,1] => 969
[1,7,5,8,6,4,2,3] => 0101110 => [1,1,1,3,1] => 450
[3,6,5,8,1,2,7,4] => 0101001 => [1,1,1,1,2,1] => 1023
[5,4,7,8,1,6,3,2] => 1001011 => [1,2,1,1,2] => 603
[2,5,6,8,1,3,7,4] => 0001001 => [3,1,2,1] => 259
[5,3,6,8,1,2,7,4] => 1001001 => [1,2,1,2,1] => 603
[4,6,5,8,3,2,7,1] => 0101101 => [1,1,1,2,1,1] => 1006
[4,5,6,8,2,3,7,1] => 0001001 => [3,1,2,1] => 259
[2,5,8,7,1,6,4,3] => 0011011 => [2,2,1,2] => 357
[4,7,5,8,3,6,2,1] => 0101011 => [1,1,1,1,1,2] => 1023
[7,3,6,8,5,2,1,4] => 1001110 => [1,2,3,1] => 262
[8,3,6,7,5,2,4,1] => 1001101 => [1,2,2,1,1] => 594
[8,4,5,7,3,6,2,1] => 1001011 => [1,2,1,1,2] => 603
[2,4,7,8,5,6,3,1] => 0001011 => [3,1,1,2] => 259
[3,6,8,7,5,2,4,1] => 0011101 => [2,3,1,1] => 256
[6,4,7,8,5,1,3,2] => 1001101 => [1,2,2,1,1] => 594
[7,8,4,6,5,3,1,2] => 0101110 => [1,1,1,3,1] => 450
[6,8,4,7,5,1,3,2] => 0101101 => [1,1,1,2,1,1] => 1006
[4,5,6,7,8,3,9,1,2] => 00001010 => [4,1,1,1,1] => 888
[8,9,2,3,4,5,1,6,7] => 01000100 => [1,1,3,1,2] => 1608
[5,6,7,4,8,9,1,2,3] => 00100100 => [2,1,2,1,2] => 2194
[7,8,9,2,3,1,4,5,6] => 00101000 => [2,1,1,1,3] => 1612
[6,5,7,8,9,1,2,3,4] => 10001000 => [1,3,1,3] => 676
[7,6,1,2,3,5,4,8] => 1100010 => [2,3,1,1] => 256
[2,8,7,5,1,6,3,4] => 0111010 => [1,3,1,1,1] => 427
[8,7,6,4,2,1,5,3] => 1111101 => [5,1,1] => 37
[3,8,7,5,2,6,4,1] => 0111011 => [1,3,1,2] => 259
[3,8,7,5,1,2,6,4] => 0111001 => [1,3,2,1] => 259
[5,8,3,7,1,4,6,2] => 0101001 => [1,1,1,1,2,1] => 1023
[3,8,7,4,2,6,5,1] => 0111011 => [1,3,1,2] => 259
[5,8,3,2,4,7,6,1] => 0110011 => [1,2,2,2] => 363
[5,3,8,2,4,6,1,7] => 1010010 => [1,1,1,2,1,1] => 1006
[4,5,8,3,2,6,1,7] => 0011010 => [2,2,1,1,1] => 582
[5,8,2,1,4,6,3,7] => 0110010 => [1,2,2,1,1] => 594
[4,1,5,8,3,6,2,7] => 1001010 => [1,2,1,1,1,1] => 969
[4,5,8,3,6,1,2,7] => 0010100 => [2,1,1,1,2] => 603
[3,2,7,1,8,5,4,6] => 1010110 => [1,1,1,1,2,1] => 1023
[4,7,8,5,2,3,1,6] => 0011010 => [2,2,1,1,1] => 582
[6,2,7,8,1,5,3,4] => 1001010 => [1,2,1,1,1,1] => 969
[2,7,1,3,8,5,4,6] => 0100110 => [1,1,2,2,1] => 611
[2,6,7,8,4,1,3,5] => 0001100 => [3,2,2] => 153
[2,6,7,8,4,3,1,5] => 0001110 => [3,3,1] => 110
[7,1,2,3,4,5,8,6,9] => 10000010 => [1,5,1,1] => 240
[6,1,2,3,4,7,5,8,9] => 10000100 => [1,4,1,2] => 526
[5,1,2,3,6,4,7,8,9] => 10001000 => [1,3,1,3] => 676
[4,1,2,5,3,6,7,8,9] => 10010000 => [1,2,1,4] => 534
[7,1,2,6,3,8,4,5] => 1001010 => [1,2,1,1,1,1] => 969
[8,1,2,6,5,3,7,4] => 1001101 => [1,2,2,1,1] => 594
[7,4,1,8,2,5,3,6] => 1101010 => [2,1,1,1,1,1] => 969
[7,2,1,8,3,6,4,5] => 1101010 => [2,1,1,1,1,1] => 969
[6,8,7,3,1,2,4,5] => 0111000 => [1,3,3] => 110
[7,4,8,3,1,2,6,5] => 1011001 => [1,1,2,2,1] => 611
[8,4,5,3,1,6,7,2] => 1011001 => [1,1,2,2,1] => 611
[8,2,3,1,6,7,4,5] => 1010010 => [1,1,1,2,1,1] => 1006
[8,2,1,7,4,3,5,6] => 1101100 => [2,1,2,2] => 363
[7,2,6,8,4,1,3,5] => 1001100 => [1,2,2,2] => 363
[7,2,5,1,6,8,3,4] => 1010010 => [1,1,1,2,1,1] => 1006
[6,2,1,7,4,8,3,5] => 1101010 => [2,1,1,1,1,1] => 969
[1,7,4,3,2,5,6,8] => 0111000 => [1,3,3] => 110
[1,7,4,3,6,2,5,8] => 0110100 => [1,2,1,1,2] => 603
[3,7,5,8,2,4,6,1] => 0101001 => [1,1,1,1,2,1] => 1023
[5,2,1,6,3,4,8,7] => 1101001 => [2,1,1,2,1] => 603
[5,1,3,4,6,2,8,7] => 1000101 => [1,3,1,1,1] => 427
[3,8,4,5,7,2,6,1] => 0100101 => [1,1,2,1,1,1] => 984
[3,8,4,7,5,6,2,1] => 0101011 => [1,1,1,1,1,2] => 1023
[4,2,8,6,3,7,5,1] => 1011011 => [1,1,2,1,2] => 611
[4,1,7,6,3,8,5,2] => 1011011 => [1,1,2,1,2] => 611
[7,4,1,8,5,3,6,2] => 1101101 => [2,1,2,1,1] => 594
[3,5,6,8,4,7,1,2] => 0001010 => [3,1,1,1,1] => 427
[5,4,1,8,6,7,2,3] => 1101010 => [2,1,1,1,1,1] => 969
[6,2,8,4,5,3,7,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,5,2,1,8,7,3,6] => 0110110 => [1,2,1,2,1] => 603
[4,7,3,8,2,6,5,1] => 0101011 => [1,1,1,1,1,2] => 1023
[4,7,3,1,8,6,2,5] => 0110110 => [1,2,1,2,1] => 603
[6,2,1,3,7,4,8,5] => 1100101 => [2,2,1,1,1] => 582
[6,3,7,1,2,5,8,4] => 1010001 => [1,1,1,3,1] => 450
[5,1,4,7,8,2,6,3] => 1000101 => [1,3,1,1,1] => 427
[7,2,5,8,1,3,6,4] => 1001001 => [1,2,1,2,1] => 603
[8,3,6,7,2,4,5,1] => 1001001 => [1,2,1,2,1] => 603
[3,8,7,5,2,1,6,4] => 0111101 => [1,4,1,1] => 145
[3,8,5,6,2,7,4,1] => 0101011 => [1,1,1,1,1,2] => 1023
[3,6,5,8,4,2,7,1] => 0101101 => [1,1,1,2,1,1] => 1006
[6,8,3,2,5,7,4,1] => 0110011 => [1,2,2,2] => 363
[4,1,5,6,8,7,3,2] => 1000111 => [1,3,3] => 110
[8,4,2,3,6,7,5,1] => 1100011 => [2,3,2] => 153
[6,1,2,4,5,7,8,3] => 1000001 => [1,5,1] => 37
[4,5,1,3,7,6,8,2] => 0100101 => [1,1,2,1,1,1] => 984
[3,5,4,8,6,2,7,1] => 0101101 => [1,1,1,2,1,1] => 1006
[3,6,2,4,5,8,7,1] => 0100011 => [1,1,3,2] => 265
[8,1,2,3,4,5,9,7,6] => 10000011 => [1,5,2] => 138
[8,1,2,3,4,9,6,7,5] => 10000101 => [1,4,1,1,1] => 888
[9,1,2,3,8,5,6,7,4] => 10001001 => [1,3,1,2,1] => 1576
[8,1,3,7,4,5,6,2] => 1001001 => [1,2,1,2,1] => 603
[9,1,2,3,4,6,7,8,5] => 10000001 => [1,6,1] => 50
[8,1,5,3,6,4,7,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[2,6,4,8,3,1,5,7] => 0101100 => [1,1,1,2,2] => 622
[2,6,4,1,5,8,7,3] => 0110011 => [1,2,2,2] => 363
[7,6,5,2,4,3,8,1] => 1110101 => [3,1,1,1,1] => 427
[3,6,4,5,2,8,1,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[8,1,5,4,7,3,6,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,6,5,4,1,8,2,3] => 1111010 => [4,1,1,1] => 145
[3,6,4,1,5,7,2,8] => 0110010 => [1,2,2,1,1] => 594
[8,1,5,4,7,6,3,2] => 1010111 => [1,1,1,1,3] => 450
[2,5,1,4,6,7,3,8] => 0100010 => [1,1,3,1,1] => 439
[3,6,4,1,5,7,8,2] => 0110001 => [1,2,3,1] => 262
[7,6,5,2,8,4,1,3] => 1110110 => [3,1,2,1] => 259
[3,1,6,5,2,8,7,4] => 1011011 => [1,1,2,1,2] => 611
[1,7,2,4,3,5,8,6] => 0101001 => [1,1,1,1,2,1] => 1023
[3,8,1,7,4,2,6,5] => 0101101 => [1,1,1,2,1,1] => 1006
[8,1,7,4,3,5,6,2] => 1011001 => [1,1,2,2,1] => 611
[6,8,2,4,5,3,7,1] => 0100101 => [1,1,2,1,1,1] => 984
[4,8,5,3,6,1,7,2] => 0110101 => [1,2,1,1,1,1] => 969
[2,8,3,1,4,7,5,6] => 0110010 => [1,2,2,1,1] => 594
[8,6,3,2,7,4,1,5] => 1110110 => [3,1,2,1] => 259
[2,7,3,1,8,4,5,6] => 0110100 => [1,2,1,1,2] => 603
[1,2,8,3,5,6,4,7] => 0010010 => [2,1,2,1,1] => 594
[3,5,7,4,8,1,6,2] => 0010101 => [2,1,1,1,1,1] => 969
[2,8,1,3,5,4,6,7] => 0100100 => [1,1,2,1,2] => 611
[1,5,2,8,6,4,3,7] => 0101110 => [1,1,1,3,1] => 450
[7,4,8,6,3,1,2,5] => 1011100 => [1,1,3,2] => 265
[3,6,8,4,1,2,5,7] => 0011000 => [2,2,3] => 153
[4,7,8,5,2,1,3,6] => 0011100 => [2,3,2] => 153
[6,1,5,2,8,7,3,4] => 1010110 => [1,1,1,1,2,1] => 1023
[8,1,3,5,7,4,2,6] => 1000110 => [1,3,2,1] => 259
[3,1,8,5,4,7,2,6] => 1011010 => [1,1,2,1,1,1] => 984
[3,1,6,4,8,5,2,7] => 1010110 => [1,1,1,1,2,1] => 1023
[5,1,3,4,2,6,8,7] => 1001001 => [1,2,1,2,1] => 603
[3,2,6,4,1,5,7,8] => 1011000 => [1,1,2,3] => 265
[5,4,2,1,8,3,6,7] => 1110100 => [3,1,1,2] => 259
[4,2,5,1,8,7,3,6] => 1010110 => [1,1,1,1,2,1] => 1023
[6,8,2,7,1,4,3,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,8,4,7,3,2,5,6] => 0101100 => [1,1,1,2,2] => 622
[8,6,3,1,5,7,2,4] => 1110010 => [3,2,1,1] => 256
[5,8,3,1,4,7,6,2] => 0110011 => [1,2,2,2] => 363
[1,2,5,4,7,8,3,6] => 0010010 => [2,1,2,1,1] => 594
[1,8,3,2,6,4,7,5] => 0110101 => [1,2,1,1,1,1] => 969
[4,7,1,2,5,3,6,8] => 0100100 => [1,1,2,1,2] => 611
[6,8,4,1,3,7,2,5] => 0110010 => [1,2,2,1,1] => 594
[3,2,6,1,7,8,5,4] => 1010011 => [1,1,1,2,2] => 622
[7,6,4,1,8,3,5,2] => 1110101 => [3,1,1,1,1] => 427
[5,4,1,6,7,3,2,8] => 1100110 => [2,2,2,1] => 357
[7,4,1,6,5,8,2,3] => 1101010 => [2,1,1,1,1,1] => 969
[8,5,4,1,6,7,3,2] => 1110011 => [3,2,2] => 153
[5,2,1,6,4,7,8,3] => 1101001 => [2,1,1,2,1] => 603
[1,6,2,3,5,7,8,4] => 0100001 => [1,1,4,1] => 148
[1,3,4,8,5,2,6,7] => 0001100 => [3,2,2] => 153
[8,2,4,6,1,7,3,5] => 1001010 => [1,2,1,1,1,1] => 969
[1,5,7,2,3,6,8,4] => 0010001 => [2,1,3,1] => 262
[7,3,1,4,2,5,8,6] => 1101001 => [2,1,1,2,1] => 603
[3,2,5,7,8,4,1,6] => 1000110 => [1,3,2,1] => 259
[4,3,5,1,6,2,7,8] => 1010100 => [1,1,1,1,1,2] => 1023
[8,6,3,5,4,1,2,7] => 1101100 => [2,1,2,2] => 363
[8,3,2,6,1,5,4,7] => 1101010 => [2,1,1,1,1,1] => 969
[8,5,1,7,4,6,2,3] => 1101010 => [2,1,1,1,1,1] => 969
[4,8,1,7,6,3,5,2] => 0101101 => [1,1,1,2,1,1] => 1006
[8,5,1,7,4,3,6,2] => 1101101 => [2,1,2,1,1] => 594
[8,5,7,6,2,1,3,4] => 1011100 => [1,1,3,2] => 265
[5,4,8,3,1,7,2,6] => 1011010 => [1,1,2,1,1,1] => 984
[5,1,4,8,3,2,7,6] => 1001101 => [1,2,2,1,1] => 594
[4,8,1,7,6,5,2,3] => 0101110 => [1,1,1,3,1] => 450
[4,3,8,7,2,6,1,5] => 1011010 => [1,1,2,1,1,1] => 984
[3,8,7,2,6,4,1,5] => 0110110 => [1,2,1,2,1] => 603
[8,2,5,7,4,3,6,1] => 1001101 => [1,2,2,1,1] => 594
[3,8,7,4,6,1,2,5] => 0110100 => [1,2,1,1,2] => 603
[8,7,6,3,5,4,1,2] => 1110110 => [3,1,2,1] => 259
[2,8,4,7,6,1,5,3] => 0101101 => [1,1,1,2,1,1] => 1006
[2,5,4,8,3,1,7,6] => 0101101 => [1,1,1,2,1,1] => 1006
[5,4,8,2,1,3,7,6] => 1011001 => [1,1,2,2,1] => 611
[3,8,7,2,6,1,5,4] => 0110101 => [1,2,1,1,1,1] => 969
[1,8,4,7,6,3,5,2] => 0101101 => [1,1,1,2,1,1] => 1006
[1,8,3,7,6,5,2,4] => 0101110 => [1,1,1,3,1] => 450
[1,4,3,8,7,2,6,5] => 0101101 => [1,1,1,2,1,1] => 1006
[7,1,5,4,6,2,3,8] => 1010100 => [1,1,1,1,1,2] => 1023
[7,4,1,3,6,2,5,8] => 1100100 => [2,2,1,2] => 357
[5,4,3,1,7,6,2,8] => 1110110 => [3,1,2,1] => 259
[4,1,3,7,5,6,2,8] => 1001010 => [1,2,1,1,1,1] => 969
[2,6,8,3,1,7,4,5] => 0011010 => [2,2,1,1,1] => 582
[2,5,4,8,1,7,3,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[7,2,6,5,8,3,4,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,6,3,1,4,2,7,8] => 0110100 => [1,2,1,1,2] => 603
[2,6,5,3,4,8,7,1] => 0110011 => [1,2,2,2] => 363
[2,6,1,5,3,4,7,8] => 0101000 => [1,1,1,1,3] => 450
[3,6,2,7,4,5,1,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,4,7,8,5,1,6,2] => 0001101 => [3,2,1,1] => 256
[3,6,2,4,7,8,5,1] => 0100011 => [1,1,3,2] => 265
[5,3,6,4,8,7,2,1] => 1010111 => [1,1,1,1,3] => 450
[1,5,4,8,6,2,7,3] => 0101101 => [1,1,1,2,1,1] => 1006
[4,5,2,7,6,3,8,1] => 0101101 => [1,1,1,2,1,1] => 1006
[7,6,2,5,3,8,4,1] => 1101011 => [2,1,1,1,2] => 603
[8,4,6,1,3,7,2,5] => 1010010 => [1,1,1,2,1,1] => 1006
[4,8,5,1,2,3,6,7] => 0110000 => [1,2,4] => 85
[8,6,2,4,5,1,3,7] => 1100100 => [2,2,1,2] => 357
[4,5,1,3,8,6,2,7] => 0100110 => [1,1,2,2,1] => 611
[7,4,2,3,6,8,5,1] => 1100011 => [2,3,2] => 153
[2,1,6,7,4,8,3,5] => 1001010 => [1,2,1,1,1,1] => 969
[7,8,3,1,6,2,5,4] => 0110101 => [1,2,1,1,1,1] => 969
[7,5,2,8,1,4,6,3] => 1101001 => [2,1,1,2,1] => 603
[6,7,8,2,5,4,3,1] => 0010111 => [2,1,1,3] => 262
[7,8,1,6,2,5,4,3] => 0101011 => [1,1,1,1,1,2] => 1023
[5,1,6,8,3,4,7,2] => 1001001 => [1,2,1,2,1] => 603
[7,1,6,8,5,4,3,2] => 1001111 => [1,2,4] => 85
[5,6,8,1,2,3,7,4] => 0010001 => [2,1,3,1] => 262
[4,8,1,2,7,6,5,3] => 0100111 => [1,1,2,3] => 265
[4,6,1,2,8,5,7,3] => 0100101 => [1,1,2,1,1,1] => 984
[6,4,7,3,5,2,1,8] => 1010110 => [1,1,1,1,2,1] => 1023
[5,7,8,4,2,1,3,6] => 0011100 => [2,3,2] => 153
[6,4,8,3,5,2,1,7] => 1010110 => [1,1,1,1,2,1] => 1023
[3,1,6,2,5,7,8,4] => 1010001 => [1,1,1,3,1] => 450
[2,1,6,3,5,7,4,8] => 1010010 => [1,1,1,2,1,1] => 1006
[1,6,4,5,2,7,3,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,4,7,3,2,5,6,8] => 0011000 => [2,2,3] => 153
[6,2,1,4,5,3,7,8] => 1100100 => [2,2,1,2] => 357
[1,2,3,4,5,8,9,6,7] => 00000010 => [6,1,1] => 50
[1,2,3,4,7,9,5,8,6] => 00000101 => [5,1,1,1] => 240
[1,2,3,6,9,4,7,8,5] => 00001001 => [4,1,2,1] => 526
[1,2,4,6,8,3,7,5] => 0000101 => [4,1,1,1] => 145
[1,2,5,9,3,6,7,8,4] => 00010001 => [3,1,3,1] => 676
[1,3,5,8,2,6,7,4] => 0001001 => [3,1,2,1] => 259
[1,4,9,2,5,6,7,8,3] => 00100001 => [2,1,4,1] => 534
[3,9,1,4,5,6,7,8,2] => 01000001 => [1,1,5,1] => 244
[6,1,3,7,2,8,5,4] => 1001011 => [1,2,1,1,2] => 603
[6,4,5,8,3,7,1,2] => 1001010 => [1,2,1,1,1,1] => 969
[8,1,4,3,6,7,2,5] => 1010010 => [1,1,1,2,1,1] => 1006
[2,6,8,4,3,1,7,5] => 0011101 => [2,3,1,1] => 256
[8,1,5,2,6,4,3,7] => 1010110 => [1,1,1,1,2,1] => 1023
[1,6,7,4,2,8,3,5] => 0011010 => [2,2,1,1,1] => 582
[1,7,8,4,3,6,2,5] => 0011010 => [2,2,1,1,1] => 582
[1,5,8,7,4,3,2,6] => 0011110 => [2,4,1] => 85
[1,4,7,2,3,6,8,5] => 0010001 => [2,1,3,1] => 262
[3,1,2,6,7,8,5,4] => 1000011 => [1,4,2] => 85
[3,8,1,6,4,2,7,5] => 0101101 => [1,1,1,2,1,1] => 1006
[1,6,3,4,7,8,2,5] => 0100010 => [1,1,3,1,1] => 439
[3,1,5,7,6,2,8,4] => 1001101 => [1,2,2,1,1] => 594
[6,3,1,4,2,7,8,5] => 1101001 => [2,1,1,2,1] => 603
[2,4,3,7,6,1,8,5] => 0101101 => [1,1,1,2,1,1] => 1006
[3,1,7,6,5,2,8,4] => 1011101 => [1,1,3,1,1] => 439
[1,4,7,6,8,3,2,5] => 0010110 => [2,1,1,2,1] => 603
[7,2,1,5,6,3,8,4] => 1100101 => [2,2,1,1,1] => 582
[4,3,1,8,6,2,7,5] => 1101101 => [2,1,2,1,1] => 594
[3,1,5,2,8,7,6,4] => 1010111 => [1,1,1,1,3] => 450
[1,2,8,4,3,7,6,5] => 0011011 => [2,2,1,2] => 357
[2,6,1,8,7,4,3,5] => 0101110 => [1,1,1,3,1] => 450
[7,5,1,8,3,2,6,4] => 1101101 => [2,1,2,1,1] => 594
[4,7,6,3,1,8,2,5] => 0111010 => [1,3,1,1,1] => 427
[5,3,1,8,6,2,4,7] => 1101100 => [2,1,2,2] => 363
[5,1,8,6,3,2,4,7] => 1011100 => [1,1,3,2] => 265
[1,5,4,2,8,6,3,7] => 0110110 => [1,2,1,2,1] => 603
[1,4,2,8,5,3,7,6] => 0101101 => [1,1,1,2,1,1] => 1006
[8,3,1,6,4,2,5,7] => 1101100 => [2,1,2,2] => 363
[1,7,4,8,3,5,2,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[7,3,2,4,8,5,1,6] => 1100110 => [2,2,2,1] => 357
[5,7,8,1,4,2,6,3] => 0010101 => [2,1,1,1,1,1] => 969
[2,6,3,8,1,7,5,4] => 0101011 => [1,1,1,1,1,2] => 1023
[2,5,1,8,6,3,7,4] => 0101101 => [1,1,1,2,1,1] => 1006
[2,8,6,4,1,7,3,5] => 0111010 => [1,3,1,1,1] => 427
[1,8,4,2,7,5,3,6] => 0110110 => [1,2,1,2,1] => 603
[6,5,1,7,2,8,4,3] => 1101011 => [2,1,1,1,2] => 603
[2,8,1,7,5,3,6,4] => 0101101 => [1,1,1,2,1,1] => 1006
[1,2,8,7,6,4,3,5] => 0011110 => [2,4,1] => 85
[4,1,7,8,6,3,5,2] => 1001101 => [1,2,2,1,1] => 594
[1,6,5,7,8,4,2,3] => 0100110 => [1,1,2,2,1] => 611
[4,1,8,7,6,3,5,2] => 1011101 => [1,1,3,1,1] => 439
[4,8,2,6,3,5,1,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,3,5,7,1,6,2,8] => 1001010 => [1,2,1,1,1,1] => 969
[4,1,8,5,3,6,2,7] => 1011010 => [1,1,2,1,1,1] => 984
[6,4,2,5,3,1,7,8] => 1101100 => [2,1,2,2] => 363
[3,1,5,8,2,7,4,6] => 1001010 => [1,2,1,1,1,1] => 969
[6,4,1,5,3,2,7,8] => 1101100 => [2,1,2,2] => 363
[6,2,1,5,4,3,7,8] => 1101100 => [2,1,2,2] => 363
[3,1,8,5,4,6,2,7] => 1011010 => [1,1,2,1,1,1] => 984
[6,1,8,4,5,3,2,7] => 1010110 => [1,1,1,1,2,1] => 1023
[4,5,2,7,1,6,3,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,3,5,7,1,6,8,2] => 1001001 => [1,2,1,2,1] => 603
[4,1,8,5,3,6,7,2] => 1011001 => [1,1,2,2,1] => 611
[6,3,8,4,5,1,7,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[3,1,6,8,5,7,4,2] => 1001011 => [1,2,1,1,2] => 603
[2,6,1,8,5,7,4,3] => 0101011 => [1,1,1,1,1,2] => 1023
[6,3,8,4,5,2,1,7] => 1010110 => [1,1,1,1,2,1] => 1023
[6,5,8,7,2,3,4,1] => 1011001 => [1,1,2,2,1] => 611
[6,3,8,4,5,2,7,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[2,1,6,8,5,3,7,4] => 1001101 => [1,2,2,1,1] => 594
[3,2,6,8,5,4,7,1] => 1001101 => [1,2,2,1,1] => 594
[4,1,8,5,2,6,3,7] => 1011010 => [1,1,2,1,1,1] => 984
[3,1,6,8,5,2,4,7] => 1001100 => [1,2,2,2] => 363
[6,5,8,7,4,1,2,3] => 1011100 => [1,1,3,2] => 265
[6,5,8,7,4,2,1,3] => 1011110 => [1,1,4,1] => 148
[6,5,8,7,2,4,1,3] => 1011010 => [1,1,2,1,1,1] => 984
[6,2,8,4,5,7,1,3] => 1010010 => [1,1,1,2,1,1] => 1006
[6,1,8,4,5,7,3,2] => 1010011 => [1,1,1,2,2] => 622
[2,8,1,9,3,4,5,6,7] => 01010000 => [1,1,1,1,4] => 934
[4,2,7,3,5,8,6,1] => 1010011 => [1,1,1,2,2] => 622
[3,6,2,4,8,5,7,1] => 0100101 => [1,1,2,1,1,1] => 984
[2,7,5,4,3,8,6,1] => 0111011 => [1,3,1,2] => 259
[3,5,1,8,4,7,6,2] => 0101011 => [1,1,1,1,1,2] => 1023
[3,6,1,8,5,4,7,2] => 0101101 => [1,1,1,2,1,1] => 1006
[2,4,8,3,7,6,5,1] => 0010111 => [2,1,1,3] => 262
[3,6,8,2,5,7,4,1] => 0010011 => [2,1,2,2] => 363
[2,6,8,5,4,3,7,1] => 0011101 => [2,3,1,1] => 256
[3,6,8,2,5,4,7,1] => 0010101 => [2,1,1,1,1,1] => 969
[4,6,8,3,2,5,7,1] => 0011001 => [2,2,2,1] => 357
[4,6,2,8,3,5,7,1] => 0101001 => [1,1,1,1,2,1] => 1023
[3,6,1,8,5,7,4,2] => 0101011 => [1,1,1,1,1,2] => 1023
[5,2,6,8,4,1,7,3] => 1001101 => [1,2,2,1,1] => 594
[4,6,3,8,7,2,5,1] => 0101101 => [1,1,1,2,1,1] => 1006
[3,5,8,2,7,4,6,1] => 0010101 => [2,1,1,1,1,1] => 969
[2,6,8,5,7,4,3,1] => 0010111 => [2,1,1,3] => 262
[2,4,8,7,6,3,5,1] => 0011101 => [2,3,1,1] => 256
[7,5,1,6,3,2,8,4] => 1101101 => [2,1,2,1,1] => 594
[2,7,6,3,4,1,8,5] => 0110101 => [1,2,1,1,1,1] => 969
[5,7,6,3,1,2,8,4] => 0111001 => [1,3,2,1] => 259
[4,8,2,1,7,5,6,3] => 0110101 => [1,2,1,1,1,1] => 969
[6,3,8,5,7,2,4,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[1,5,4,8,6,2,3,7] => 0101100 => [1,1,1,2,2] => 622
[8,2,1,7,5,3,6,4] => 1101101 => [2,1,2,1,1] => 594
[8,2,1,6,7,3,5,4] => 1100101 => [2,2,1,1,1] => 582
[6,2,8,1,7,5,3,4] => 1010110 => [1,1,1,1,2,1] => 1023
[3,5,1,8,7,6,2,4] => 0101110 => [1,1,1,3,1] => 450
[1,4,2,3,6,5,8,7,9] => 01001010 => [1,1,2,1,1,1,1] => 6040
[1,3,4,2,6,5,8,7,9] => 00101010 => [2,1,1,1,1,1,1] => 5976
[2,3,1,4,6,5,8,7,9] => 01001010 => [1,1,2,1,1,1,1] => 6040
[4,6,1,2,3,5,8,7,9] => 01000010 => [1,1,4,1,1] => 912
[3,4,5,1,6,2,8,7,9] => 00101010 => [2,1,1,1,1,1,1] => 5976
[3,1,2,4,6,5,8,7,9] => 10001010 => [1,3,1,1,1,1] => 2592
[4,7,3,5,6,1,2,8] => 0100100 => [1,1,2,1,2] => 611
[4,7,8,3,5,6,1,2] => 0010010 => [2,1,2,1,1] => 594
[2,1,3,4,5,6,9,7,8] => 10000010 => [1,5,1,1] => 240
[1,2,3,4,5,7,8,6,9] => 00000010 => [6,1,1] => 50
[3,2,5,6,8,4,7,1] => 1000101 => [1,3,1,1,1] => 427
[8,4,5,2,6,3,7,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[2,5,6,4,8,3,7,1] => 0010101 => [2,1,1,1,1,1] => 969
[4,2,5,7,3,8,1,6] => 1001010 => [1,2,1,1,1,1] => 969
[4,7,3,1,6,8,2,5] => 0110010 => [1,2,2,1,1] => 594
[4,2,7,6,8,1,3,5] => 1010100 => [1,1,1,1,1,2] => 1023
[1,7,4,6,8,3,2,5] => 0100110 => [1,1,2,2,1] => 611
[4,7,2,5,6,3,1,8] => 0100110 => [1,1,2,2,1] => 611
[5,4,1,3,7,8,2,6] => 1100010 => [2,3,1,1] => 256
[6,1,5,8,3,7,2,4] => 1001010 => [1,2,1,1,1,1] => 969
[4,1,3,5,7,8,2,6] => 1000010 => [1,4,1,1] => 145
[6,1,5,8,4,3,2,7] => 1001110 => [1,2,3,1] => 262
[7,2,1,6,8,3,5,4] => 1100101 => [2,2,1,1,1] => 582
[5,6,4,1,8,3,2,7] => 0110110 => [1,2,1,2,1] => 603
[2,3,7,8,5,1,6,4] => 0001101 => [3,2,1,1] => 256
[4,1,7,6,2,3,8,5] => 1011001 => [1,1,2,2,1] => 611
[1,2,6,7,4,3,5,8] => 0001100 => [3,2,2] => 153
[7,1,9,3,4,5,6,2,8] => 10100010 => [1,1,1,3,1,1] => 2732
[5,8,6,3,4,1,2,7] => 0110100 => [1,2,1,1,2] => 603
[7,2,1,9,4,5,6,3,8] => 11010010 => [2,1,1,2,1,1] => 3652
[6,9,7,3,4,5,1,2,8] => 01100100 => [1,2,2,1,2] => 2194
[6,2,3,1,8,5,4,7] => 1010110 => [1,1,1,1,2,1] => 1023
[5,1,2,6,4,8,3,7] => 1001010 => [1,2,1,1,1,1] => 969
[8,6,2,3,7,5,1,4] => 1100110 => [2,2,2,1] => 357
[3,8,1,2,9,5,6,7,4] => 01001001 => [1,1,2,1,2,1] => 3732
[8,7,9,1,2,3,4,5,6] => 10100000 => [1,1,1,5] => 244
[7,2,3,1,9,5,6,4,8] => 10101010 => [1,1,1,1,1,1,1,1] => 10176
[6,1,2,7,4,5,9,3,8] => 10010010 => [1,2,1,2,1,1] => 3652
[5,9,6,3,4,1,7,2,8] => 01101010 => [1,2,1,1,1,1,1] => 5976
[4,5,2,8,6,1,3,7] => 0101100 => [1,1,1,2,2] => 622
[3,4,8,2,5,6,1,7] => 0010010 => [2,1,2,1,1] => 594
[3,8,1,4,2,9,6,7,5] => 01010101 => [1,1,1,1,1,1,1,1] => 10176
[9,7,2,3,8,5,6,1,4] => 11001010 => [2,2,1,1,1,1] => 3528
[2,8,3,6,7,4,5,1] => 0100101 => [1,1,2,1,1,1] => 984
[6,8,2,7,5,3,1,4] => 0101110 => [1,1,1,3,1] => 450
[6,3,2,5,8,4,1,7] => 1100110 => [2,2,2,1] => 357
[5,6,7,2,8,4,1,3] => 0010110 => [2,1,1,2,1] => 603
[5,8,3,6,4,1,7,2] => 0101101 => [1,1,1,2,1,1] => 1006
[4,3,8,5,2,7,1,6] => 1011010 => [1,1,2,1,1,1] => 984
[2,8,4,5,1,6,3,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,2,5,8,4,7,1,6] => 1001010 => [1,2,1,1,1,1] => 969
[2,5,8,1,3,4,7,6] => 0010001 => [2,1,3,1] => 262
[3,5,1,8,7,4,2,6] => 0101110 => [1,1,1,3,1] => 450
[4,6,1,3,8,2,7,5] => 0100101 => [1,1,2,1,1,1] => 984
[8,6,1,2,3,5,7,4] => 1100001 => [2,4,1] => 85
[5,1,7,8,3,2,4,6] => 1001100 => [1,2,2,2] => 363
[3,1,7,6,2,8,5,4] => 1011011 => [1,1,2,1,2] => 611
[5,3,6,7,4,2,8,1] => 1001101 => [1,2,2,1,1] => 594
[5,4,2,8,6,7,3,1] => 1101011 => [2,1,1,1,2] => 603
[6,1,4,2,8,7,3,5] => 1010110 => [1,1,1,1,2,1] => 1023
[3,7,2,6,8,4,5,1] => 0100101 => [1,1,2,1,1,1] => 984
[4,6,5,2,7,8,3,1] => 0110011 => [1,2,2,2] => 363
[5,4,6,2,7,8,3,1] => 1010011 => [1,1,1,2,2] => 622
[5,1,8,6,4,2,7,3] => 1011101 => [1,1,3,1,1] => 439
[6,2,1,8,5,7,4,3] => 1101011 => [2,1,1,1,2] => 603
[5,4,6,2,3,1,8,7] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,5,7,8,1,3,4,2] => 1001001 => [1,2,1,2,1] => 603
[2,1,7,6,8,4,5,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,4,7,2,8,3,1,5] => 1010110 => [1,1,1,1,2,1] => 1023
[6,3,2,7,8,4,5,1] => 1100101 => [2,2,1,1,1] => 582
[4,7,3,1,5,2,8,6] => 0110101 => [1,2,1,1,1,1] => 969
[2,1,4,7,5,3,8,6] => 1001101 => [1,2,2,1,1] => 594
[4,7,6,3,1,5,8,2] => 0111001 => [1,3,2,1] => 259
[2,7,3,1,8,5,4,6] => 0110110 => [1,2,1,2,1] => 603
[2,8,3,1,7,4,5,6] => 0110100 => [1,2,1,1,2] => 603
[7,6,8,9,1,2,3,4,5] => 10010000 => [1,2,1,4] => 534
[5,4,6,7,8,9,1,2,3] => 10000100 => [1,4,1,2] => 526
[1,5,6,8,3,2,4,7] => 0001100 => [3,2,2] => 153
[1,8,2,7,3,5,6,4] => 0101001 => [1,1,1,1,2,1] => 1023
[1,7,4,8,6,5,3,2] => 0101111 => [1,1,1,4] => 148
[1,6,3,5,7,4,8,2] => 0100101 => [1,1,2,1,1,1] => 984
[1,5,4,7,2,8,3,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,8,5,2,6,1,7,4] => 0110101 => [1,2,1,1,1,1] => 969
[3,7,4,8,5,2,6,1] => 0101101 => [1,1,1,2,1,1] => 1006
[8,1,2,6,5,3,4,7] => 1001100 => [1,2,2,2] => 363
[3,7,4,2,5,6,1,8] => 0110010 => [1,2,2,1,1] => 594
[6,8,7,1,3,4,2,5] => 0110010 => [1,2,2,1,1] => 594
[3,4,2,8,6,7,5,1] => 0101011 => [1,1,1,1,1,2] => 1023
[3,7,8,6,1,4,2,5] => 0011010 => [2,2,1,1,1] => 582
[3,6,1,5,2,7,8,4] => 0101001 => [1,1,1,1,2,1] => 1023
[8,1,2,6,3,5,7,4] => 1001001 => [1,2,1,2,1] => 603
[6,2,8,4,7,1,3,5] => 1010100 => [1,1,1,1,1,2] => 1023
[3,7,8,4,2,5,6,1] => 0011001 => [2,2,2,1] => 357
[3,4,2,8,5,1,6,7] => 0101100 => [1,1,1,2,2] => 622
[1,4,3,2,5,6,7,8,9] => 01100000 => [1,2,5] => 138
[6,8,2,7,5,4,1,3] => 0101110 => [1,1,1,3,1] => 450
[1,8,4,3,7,6,2,5] => 0110110 => [1,2,1,2,1] => 603
[4,3,8,7,1,2,6,5] => 1011001 => [1,1,2,2,1] => 611
[1,8,4,5,7,6,2,3] => 0100110 => [1,1,2,2,1] => 611
[4,3,8,5,7,1,6,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,3,4,8,7,2,1,5] => 1001110 => [1,2,3,1] => 262
[5,3,8,4,7,1,6,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,2,8,7,1,4,6,3] => 1011001 => [1,1,2,2,1] => 611
[3,2,8,7,1,6,4,5] => 1011010 => [1,1,2,1,1,1] => 984
[2,7,8,3,1,6,4,5] => 0011010 => [2,2,1,1,1] => 582
[2,7,8,5,1,4,6,3] => 0011001 => [2,2,2,1] => 357
[3,5,8,7,4,1,6,2] => 0011101 => [2,3,1,1] => 256
[7,4,6,8,3,5,1,2] => 1001010 => [1,2,1,1,1,1] => 969
[2,7,8,1,3,6,4,5] => 0010010 => [2,1,2,1,1] => 594
[2,7,8,1,5,4,6,3] => 0010101 => [2,1,1,1,1,1] => 969
[2,7,8,1,4,5,6,3] => 0010001 => [2,1,3,1] => 262
[3,6,7,8,2,4,1,5] => 0001010 => [3,1,1,1,1] => 427
[4,5,7,8,6,3,1,2] => 0001110 => [3,3,1] => 110
[5,4,6,8,7,3,1,2] => 1001110 => [1,2,3,1] => 262
[4,5,8,6,7,1,3,2] => 0010101 => [2,1,1,1,1,1] => 969
[5,7,6,8,2,1,3,4] => 0101100 => [1,1,1,2,2] => 622
[3,7,6,8,2,4,1,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,4,7,8,6,3,1,2] => 1001110 => [1,2,3,1] => 262
[4,5,7,8,2,6,1,3] => 0001010 => [3,1,1,1,1] => 427
[4,5,6,8,7,3,1,2] => 0001110 => [3,3,1] => 110
[6,1,5,3,8,4,7,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[1,8,6,2,5,4,7,3] => 0110101 => [1,2,1,1,1,1] => 969
[3,8,4,1,7,5,2,6] => 0110110 => [1,2,1,2,1] => 603
[6,2,7,4,8,3,1,5] => 1010110 => [1,1,1,1,2,1] => 1023
[2,8,5,1,4,3,7,6] => 0110101 => [1,2,1,1,1,1] => 969
[6,8,2,7,5,1,4,3] => 0101101 => [1,1,1,2,1,1] => 1006
[8,3,4,5,6,1,7,2] => 1000101 => [1,3,1,1,1] => 427
[5,3,6,4,7,2,1,8] => 1010110 => [1,1,1,1,2,1] => 1023
[4,2,6,5,7,3,1,8] => 1010110 => [1,1,1,1,2,1] => 1023
[5,4,6,2,7,3,1,8] => 1010110 => [1,1,1,1,2,1] => 1023
[3,2,6,5,8,4,1,7] => 1010110 => [1,1,1,1,2,1] => 1023
[3,2,6,5,8,7,1,4] => 1010110 => [1,1,1,1,2,1] => 1023
[4,2,6,5,8,7,1,3] => 1010110 => [1,1,1,1,2,1] => 1023
[5,2,6,4,8,7,1,3] => 1010110 => [1,1,1,1,2,1] => 1023
[5,4,7,6,8,2,1,3] => 1010110 => [1,1,1,1,2,1] => 1023
[6,4,7,5,8,3,1,2] => 1010110 => [1,1,1,1,2,1] => 1023
[4,2,7,5,8,6,1,3] => 1010110 => [1,1,1,1,2,1] => 1023
[3,2,7,5,8,4,1,6] => 1010110 => [1,1,1,1,2,1] => 1023
[4,3,7,2,8,5,1,6] => 1010110 => [1,1,1,1,2,1] => 1023
[4,3,6,2,8,5,1,7] => 1010110 => [1,1,1,1,2,1] => 1023
[4,3,7,6,8,5,1,2] => 1010110 => [1,1,1,1,2,1] => 1023
[5,3,7,6,8,2,1,4] => 1010110 => [1,1,1,1,2,1] => 1023
[5,3,7,2,8,6,1,4] => 1010110 => [1,1,1,1,2,1] => 1023
[3,2,6,4,8,7,1,5] => 1010110 => [1,1,1,1,2,1] => 1023
[4,2,7,3,8,6,1,5] => 1010110 => [1,1,1,1,2,1] => 1023
[5,2,7,6,8,3,1,4] => 1010110 => [1,1,1,1,2,1] => 1023
[3,2,7,6,8,4,1,5] => 1010110 => [1,1,1,1,2,1] => 1023
[3,2,7,6,8,5,1,4] => 1010110 => [1,1,1,1,2,1] => 1023
[6,2,7,5,8,4,1,3] => 1010110 => [1,1,1,1,2,1] => 1023
[4,8,1,7,3,2,5,6] => 0101100 => [1,1,1,2,2] => 622
[3,7,4,8,2,1,5,6] => 0101100 => [1,1,1,2,2] => 622
[3,7,8,2,5,4,6,1] => 0010101 => [2,1,1,1,1,1] => 969
[4,7,5,8,3,2,6,1] => 0101101 => [1,1,1,2,1,1] => 1006
[6,7,1,3,2,5,8,4] => 0101001 => [1,1,1,1,2,1] => 1023
[8,7,6,4,1,5,3,2] => 1111011 => [4,1,2] => 85
[3,8,5,2,6,4,7,1] => 0110101 => [1,2,1,1,1,1] => 969
[7,2,5,3,4,8,1,6] => 1010010 => [1,1,1,2,1,1] => 1006
[4,2,5,3,7,8,6,1] => 1010011 => [1,1,1,2,2] => 622
[5,3,6,2,4,1,8,7] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,8,6,2,3,5,4,1] => 0110011 => [1,2,2,2] => 363
[5,8,2,6,3,7,4,1] => 0101011 => [1,1,1,1,1,2] => 1023
[4,8,2,3,7,5,6,1] => 0100101 => [1,1,2,1,1,1] => 984
[7,5,6,2,3,8,4,1] => 1010011 => [1,1,1,2,2] => 622
[2,7,5,6,4,3,8,1] => 0101101 => [1,1,1,2,1,1] => 1006
[2,8,4,3,7,5,6,1] => 0110101 => [1,2,1,1,1,1] => 969
[3,8,5,7,6,4,2,1] => 0101111 => [1,1,1,4] => 148
[7,8,6,3,5,4,2,1] => 0110111 => [1,2,1,3] => 262
[2,7,6,3,8,5,4,1] => 0110111 => [1,2,1,3] => 262
[7,4,2,5,6,3,8,1] => 1100101 => [2,2,1,1,1] => 582
[6,2,7,5,3,8,4,1] => 1011011 => [1,1,2,1,2] => 611
[2,4,8,3,7,5,6,1] => 0010101 => [2,1,1,1,1,1] => 969
[4,8,3,7,5,6,2,1] => 0101011 => [1,1,1,1,1,2] => 1023
[6,2,5,8,3,7,4,1] => 1001011 => [1,2,1,1,2] => 603
[4,7,3,8,2,5,6,1] => 0101001 => [1,1,1,1,2,1] => 1023
[8,2,5,6,3,7,4,1] => 1001011 => [1,2,1,1,2] => 603
[4,5,3,7,1,2,6,8] => 0101000 => [1,1,1,1,3] => 450
[8,5,6,4,1,3,2,7] => 1011010 => [1,1,2,1,1,1] => 984
[6,7,2,8,4,3,1,5] => 0101110 => [1,1,1,3,1] => 450
[6,7,3,2,8,4,1,5] => 0110110 => [1,2,1,2,1] => 603
[4,7,8,3,1,5,2,6] => 0011010 => [2,2,1,1,1] => 582
[4,5,8,1,3,2,6,7] => 0010100 => [2,1,1,1,2] => 603
[4,7,8,1,6,3,2,5] => 0010110 => [2,1,1,2,1] => 603
[4,7,1,3,8,6,5,2] => 0100111 => [1,1,2,3] => 265
[2,6,7,4,3,8,1,5] => 0011010 => [2,2,1,1,1] => 582
[3,7,6,4,5,8,1,2] => 0110010 => [1,2,2,1,1] => 594
[5,7,2,8,3,4,6,1] => 0101001 => [1,1,1,1,2,1] => 1023
[3,7,2,8,5,6,4,1] => 0101011 => [1,1,1,1,1,2] => 1023
[3,1,5,8,6,4,7,2] => 1001101 => [1,2,2,1,1] => 594
[2,3,8,6,4,5,7,1] => 0011001 => [2,2,2,1] => 357
[2,3,8,6,4,7,5,1] => 0011011 => [2,2,1,2] => 357
[3,6,2,8,7,4,5,1] => 0101101 => [1,1,1,2,1,1] => 1006
[2,5,6,1,8,7,3,4] => 0010110 => [2,1,1,2,1] => 603
[3,6,2,8,4,7,5,1] => 0101011 => [1,1,1,1,1,2] => 1023
[2,3,8,5,7,4,6,1] => 0010101 => [2,1,1,1,1,1] => 969
[8,5,6,3,1,4,2,7] => 1011010 => [1,1,2,1,1,1] => 984
[8,3,5,1,6,4,2,7] => 1010110 => [1,1,1,1,2,1] => 1023
[5,7,8,3,4,6,2,1] => 0010011 => [2,1,2,2] => 363
[3,5,1,8,6,4,2,7] => 0101110 => [1,1,1,3,1] => 450
[7,5,3,8,6,4,2,1] => 1101111 => [2,1,4] => 85
[5,1,3,8,6,4,2,7] => 1001110 => [1,2,3,1] => 262
[1,5,8,3,6,4,2,7] => 0010110 => [2,1,1,2,1] => 603
[7,5,8,3,6,4,2,1] => 1010111 => [1,1,1,1,3] => 450
[1,5,8,6,3,4,2,7] => 0011010 => [2,2,1,1,1] => 582
[3,7,5,8,2,6,4,1] => 0101011 => [1,1,1,1,1,2] => 1023
[5,7,8,1,4,6,2,3] => 0010010 => [2,1,2,1,1] => 594
[1,3,7,8,4,2,6,5] => 0001101 => [3,2,1,1] => 256
[6,1,2,5,3,4,7,8] => 1001000 => [1,2,1,3] => 262
[5,1,4,6,7,3,2,8] => 1000110 => [1,3,2,1] => 259
[1,4,6,5,7,2,3,8] => 0010100 => [2,1,1,1,2] => 603
[6,7,3,5,4,1,2,8] => 0101100 => [1,1,1,2,2] => 622
[8,1,6,7,3,5,4,2] => 1001011 => [1,2,1,1,2] => 603
[4,2,5,1,3,7,6,8] => 1010010 => [1,1,1,2,1,1] => 1006
[1,3,2,6,8,4,7,5] => 0100101 => [1,1,2,1,1,1] => 984
[8,2,5,4,1,6,7,3] => 1011001 => [1,1,2,2,1] => 611
[8,1,7,5,4,2,6,3] => 1011101 => [1,1,3,1,1] => 439
[1,2,6,4,7,3,5,8] => 0010100 => [2,1,1,1,2] => 603
[1,6,4,3,7,2,5,8] => 0110100 => [1,2,1,1,2] => 603
[5,7,8,3,2,6,1,4] => 0011010 => [2,2,1,1,1] => 582
[2,3,4,5,6,9,8,7,1] => 00000111 => [5,3] => 56
[2,3,4,5,8,7,9,6,1] => 00001011 => [4,1,1,2] => 526
[2,3,6,5,7,8,9,4,1] => 00100011 => [2,1,3,2] => 946
[2,3,4,5,8,9,7,6,1] => 00000111 => [5,3] => 56
[8,4,5,1,3,7,6,2] => 1010011 => [1,1,1,2,2] => 622
[8,6,4,3,7,1,5,2] => 1110101 => [3,1,1,1,1] => 427
[7,5,6,8,1,3,2,4] => 1001010 => [1,2,1,1,1,1] => 969
[6,8,7,5,4,2,3,1] => 0111101 => [1,4,1,1] => 145
[7,3,1,8,6,5,2,4] => 1101110 => [2,1,3,1] => 262
[3,4,5,6,7,1,2,8,9] => 00001000 => [4,1,3] => 220
[2,7,3,1,4,8,6,5] => 0110011 => [1,2,2,2] => 363
[3,1,6,5,7,8,4,2] => 1010011 => [1,1,1,2,2] => 622
[4,3,1,5,8,7,6,2] => 1100111 => [2,2,3] => 153
[4,7,1,3,2,5,6,8] => 0101000 => [1,1,1,1,3] => 450
[4,1,6,7,3,2,8,5] => 1001101 => [1,2,2,1,1] => 594
[1,7,2,5,6,8,4,3] => 0100011 => [1,1,3,2] => 265
[4,7,6,8,3,1,5,2] => 0101101 => [1,1,1,2,1,1] => 1006
[5,4,8,6,1,7,3,2] => 1011011 => [1,1,2,1,2] => 611
[3,5,4,7,1,8,6,2] => 0101011 => [1,1,1,1,1,2] => 1023
[7,1,5,4,2,3,6,8] => 1011000 => [1,1,2,3] => 265
[7,1,3,6,4,5,2,8] => 1001010 => [1,2,1,1,1,1] => 969
[6,1,3,8,4,5,2,7] => 1001010 => [1,2,1,1,1,1] => 969
[2,1,8,7,3,6,5,4] => 1011011 => [1,1,2,1,2] => 611
[5,8,6,3,1,2,7,4] => 0111001 => [1,3,2,1] => 259
[5,8,2,7,1,3,6,4] => 0101001 => [1,1,1,1,2,1] => 1023
[2,6,5,4,1,3,7,8] => 0111000 => [1,3,3] => 110
[4,1,5,7,6,3,2,8] => 1001110 => [1,2,3,1] => 262
[6,3,4,2,1,8,7,5] => 1011011 => [1,1,2,1,2] => 611
[4,5,1,7,6,3,2,8] => 0101110 => [1,1,1,3,1] => 450
[5,4,2,1,8,7,3,6] => 1110110 => [3,1,2,1] => 259
[6,2,1,5,4,3,8,7] => 1101101 => [2,1,2,1,1] => 594
[1,4,2,6,7,8,5,3] => 0100011 => [1,1,3,2] => 265
[1,4,2,5,6,8,7,3] => 0100011 => [1,1,3,2] => 265
[2,5,3,6,7,8,4,1] => 0100011 => [1,1,3,2] => 265
[1,8,6,2,4,3,5,7] => 0110100 => [1,2,1,1,2] => 603
[3,2,4,5,7,8,1,6] => 1000010 => [1,4,1,1] => 145
[2,3,4,7,5,8,6,1] => 0001011 => [3,1,1,2] => 259
[6,5,2,8,7,4,3,1] => 1101111 => [2,1,4] => 85
[7,8,5,4,2,1,6,3] => 0111101 => [1,4,1,1] => 145
[7,5,2,8,6,4,3,1] => 1101111 => [2,1,4] => 85
[7,8,3,2,6,5,4,1] => 0110111 => [1,2,1,3] => 262
[8,2,6,3,7,5,1,4] => 1010110 => [1,1,1,1,2,1] => 1023
[8,6,7,2,5,3,1,4] => 1010110 => [1,1,1,1,2,1] => 1023
[1,6,2,7,8,4,5,3] => 0100101 => [1,1,2,1,1,1] => 984
[8,6,2,7,5,4,1,3] => 1101110 => [2,1,3,1] => 262
[1,6,8,2,7,5,3,4] => 0010110 => [2,1,1,2,1] => 603
[7,6,3,2,8,1,5,4] => 1110101 => [3,1,1,1,1] => 427
[5,1,7,4,3,8,6,2] => 1011011 => [1,1,2,1,2] => 611
[8,6,3,7,2,4,1,5] => 1101010 => [2,1,1,1,1,1] => 969
[1,7,8,6,4,2,3,5] => 0011100 => [2,3,2] => 153
[7,2,8,6,4,1,3,5] => 1011100 => [1,1,3,2] => 265
[1,5,3,7,4,2,6,8] => 0101100 => [1,1,1,2,2] => 622
[1,7,6,4,3,2,8,5] => 0111101 => [1,4,1,1] => 145
[1,7,6,3,4,2,5,8] => 0110100 => [1,2,1,1,2] => 603
[1,2,7,4,3,8,6,5] => 0011011 => [2,2,1,2] => 357
[1,5,4,2,3,8,7,6] => 0110011 => [1,2,2,2] => 363
[1,5,3,2,4,6,7,8] => 0110000 => [1,2,4] => 85
[1,5,4,2,3,7,8,6] => 0110001 => [1,2,3,1] => 262
[1,2,7,6,3,5,8,4] => 0011001 => [2,2,2,1] => 357
[8,1,3,2,6,5,7,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[3,2,7,5,6,1,8,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,5,6,1,3,2,8,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,4,5,1,6,3,8,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,5,6,1,4,3,8,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,1,4,3,5,2,7,6] => 1010101 => [1,1,1,1,1,1,1] => 1623
[2,3,5,1,4,7,6,9,8] => 00100101 => [2,1,2,1,1,1] => 3588
[3,4,1,5,2,7,6,9,8] => 01010101 => [1,1,1,1,1,1,1,1] => 10176
[4,1,2,5,3,7,6,9,8] => 10010101 => [1,2,1,1,1,1,1] => 5976
[8,3,6,5,4,1,2,7] => 1011100 => [1,1,3,2] => 265
[1,7,5,8,4,6,3,2] => 0101011 => [1,1,1,1,1,2] => 1023
[6,5,7,1,2,8,3,4] => 1010010 => [1,1,1,2,1,1] => 1006
[7,1,4,2,3,8,6,5] => 1010011 => [1,1,1,2,2] => 622
[3,7,5,6,8,1,2,4] => 0100100 => [1,1,2,1,2] => 611
[8,1,2,5,3,7,6,4] => 1001011 => [1,2,1,1,2] => 603
[8,6,5,2,4,1,7,3] => 1110101 => [3,1,1,1,1] => 427
[3,6,5,2,4,1,7,8] => 0110100 => [1,2,1,1,2] => 603
[6,8,5,2,4,3,1,7] => 0110110 => [1,2,1,2,1] => 603
[3,4,2,8,6,7,1,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,6,7,2,5,1,8,3] => 0010101 => [2,1,1,1,1,1] => 969
[3,6,2,5,1,7,8,4] => 0101001 => [1,1,1,1,2,1] => 1023
[3,4,2,7,8,1,5,6] => 0100100 => [1,1,2,1,2] => 611
[3,8,5,2,4,7,1,6] => 0110010 => [1,2,2,1,1] => 594
[7,1,4,2,5,8,6,3] => 1010011 => [1,1,1,2,2] => 622
[7,8,5,1,2,4,3,6] => 0110010 => [1,2,2,1,1] => 594
[5,8,1,4,3,6,7,2] => 0101001 => [1,1,1,1,2,1] => 1023
[7,2,3,8,6,4,1,5] => 1001110 => [1,2,3,1] => 262
[5,2,3,8,7,4,1,6] => 1001110 => [1,2,3,1] => 262
[5,7,6,3,1,2,4,8] => 0111000 => [1,3,3] => 110
[4,2,6,8,1,3,5,7,9] => 10010000 => [1,2,1,4] => 534
[4,6,2,8,1,3,5,7,9] => 01010000 => [1,1,1,1,4] => 934
[4,6,8,2,1,3,5,7,9] => 00110000 => [2,2,4] => 306
[4,6,2,7,8,1,3,5] => 0100100 => [1,1,2,1,2] => 611
[4,6,8,2,9,1,3,5,7] => 00101000 => [2,1,1,1,3] => 1612
[4,6,2,7,9,1,3,5,8] => 01001000 => [1,1,2,1,3] => 1626
[6,2,3,7,1,4,5,8] => 1001000 => [1,2,1,3] => 262
[4,2,5,7,9,1,3,6,8] => 10001000 => [1,3,1,3] => 676
[2,3,5,7,9,1,4,6,8] => 00001000 => [4,1,3] => 220
[6,4,2,8,1,3,5,7,9] => 11010000 => [2,1,1,4] => 534
[8,4,6,2,1,3,5,7,9] => 10110000 => [1,1,2,4] => 538
[4,6,8,9,2,1,3,5,7] => 00011000 => [3,2,3] => 392
[4,6,7,8,2,1,3,5] => 0001100 => [3,2,2] => 153
[4,6,2,7,1,3,5,8,9] => 01010000 => [1,1,1,1,4] => 934
[4,8,2,5,9,1,3,6,7] => 01001000 => [1,1,2,1,3] => 1626
[6,2,3,7,9,1,4,5,8] => 10001000 => [1,3,1,3] => 676
[1,4,5,7,9,2,3,6,8] => 00001000 => [4,1,3] => 220
[8,6,3,2,1,7,5,4] => 1111011 => [4,1,2] => 85
[5,3,4,1,7,8,2,6] => 1010010 => [1,1,1,2,1,1] => 1006
[8,6,4,9,7,5,3,2,1] => 11011111 => [2,1,5] => 138
[7,8,5,9,6,4,3,2,1] => 01011111 => [1,1,1,5] => 244
[8,6,4,2,9,7,5,3,1] => 11101111 => [3,1,4] => 220
[7,8,5,3,9,6,4,2,1] => 01101111 => [1,2,1,4] => 534
[7,4,8,5,9,6,3,2,1] => 10101111 => [1,1,1,1,4] => 934
[6,7,8,4,9,5,3,2,1] => 00101111 => [2,1,1,4] => 534
[7,8,5,3,1,9,6,4,2] => 01110111 => [1,3,1,3] => 676
[7,4,8,5,2,9,6,3,1] => 10110111 => [1,1,2,1,3] => 1626
[6,7,8,4,2,9,5,3,1] => 00110111 => [2,2,1,3] => 934
[6,7,3,8,4,9,5,2,1] => 01010111 => [1,1,1,1,1,3] => 2790
[5,6,7,8,3,9,4,2,1] => 00010111 => [3,1,1,3] => 676
[6,7,3,8,4,1,9,5,2] => 01011011 => [1,1,1,2,1,2] => 3790
[5,6,7,8,3,1,9,4,2] => 00011011 => [3,2,1,2] => 924
[6,2,7,3,8,4,9,5,1] => 10101011 => [1,1,1,1,1,1,2] => 6344
[5,6,7,2,8,3,9,4,1] => 00101011 => [2,1,1,1,1,2] => 3696
[4,5,6,7,8,2,9,3,1] => 00001011 => [4,1,1,2] => 526
[5,6,1,7,2,8,3,9,4] => 01010101 => [1,1,1,1,1,1,1,1] => 10176
[4,5,6,7,1,8,2,9,3] => 00010101 => [3,1,1,1,1,1] => 2592
[6,1,3,4,2,5,8,7] => 1001001 => [1,2,1,2,1] => 603
[5,1,3,6,2,4,8,7] => 1001001 => [1,2,1,2,1] => 603
[1,5,7,6,8,2,4,3] => 0010101 => [2,1,1,1,1,1] => 969
[5,7,1,3,8,4,2,6] => 0100110 => [1,1,2,2,1] => 611
[2,6,1,4,3,7,8,5] => 0101001 => [1,1,1,1,2,1] => 1023
[1,6,2,4,3,5,8,7] => 0101001 => [1,1,1,1,2,1] => 1023
[5,3,7,6,1,8,4,2] => 1011011 => [1,1,2,1,2] => 611
[1,5,6,3,7,8,4,2] => 0010011 => [2,1,2,2] => 363
[1,5,7,6,3,8,4,2] => 0011011 => [2,2,1,2] => 357
[7,3,5,6,1,8,4,2] => 1001011 => [1,2,1,1,2] => 603
[1,6,3,7,8,5,4,2] => 0100111 => [1,1,2,3] => 265
[1,7,8,6,3,5,4,2] => 0011011 => [2,2,1,2] => 357
[3,7,5,6,1,8,4,2] => 0101011 => [1,1,1,1,1,2] => 1023
[5,6,2,8,4,7,3,1] => 0101011 => [1,1,1,1,1,2] => 1023
[5,7,6,3,4,8,1,2] => 0110010 => [1,2,2,1,1] => 594
[3,7,5,4,6,1,2,8] => 0110100 => [1,2,1,1,2] => 603
[5,3,4,7,6,8,1,2] => 1001010 => [1,2,1,1,1,1] => 969
[5,3,7,4,6,1,2,8] => 1010100 => [1,1,1,1,1,2] => 1023
[7,3,5,4,6,1,2,8] => 1010100 => [1,1,1,1,1,2] => 1023
[7,8,3,5,4,1,2,6] => 0101100 => [1,1,1,2,2] => 622
[7,3,5,4,1,2,6,8] => 1011000 => [1,1,2,3] => 265
[5,7,6,3,4,1,2,8] => 0110100 => [1,2,1,1,2] => 603
[3,5,4,1,2,7,6,8] => 0110010 => [1,2,2,1,1] => 594
[5,7,6,1,3,2,4,8] => 0110100 => [1,2,1,1,2] => 603
[5,3,4,1,2,7,6,8] => 1010010 => [1,1,1,2,1,1] => 1006
[7,8,3,1,2,5,4,6] => 0110010 => [1,2,2,1,1] => 594
[7,8,5,1,3,2,4,6] => 0110100 => [1,2,1,1,2] => 603
[7,5,6,1,3,2,4,8] => 1010100 => [1,1,1,1,1,2] => 1023
[7,5,1,3,8,6,2,4] => 1100110 => [2,2,2,1] => 357
[7,1,3,8,2,5,4,6] => 1001010 => [1,2,1,1,1,1] => 969
[3,1,5,4,7,2,6,8] => 1010100 => [1,1,1,1,1,2] => 1023
[5,7,6,1,3,8,2,4] => 0110010 => [1,2,2,1,1] => 594
[5,7,6,3,8,1,4,2] => 0110101 => [1,2,1,1,1,1] => 969
[5,1,3,7,6,2,4,8] => 1001100 => [1,2,2,2] => 363
[1,6,3,7,2,4,5,8] => 0101000 => [1,1,1,1,3] => 450
[5,3,2,4,8,1,7,6] => 1100101 => [2,2,1,1,1] => 582
[6,8,5,3,2,7,1,4] => 0111010 => [1,3,1,1,1] => 427
[8,3,7,2,6,5,1,4] => 1010110 => [1,1,1,1,2,1] => 1023
[4,6,2,7,1,3,8,5] => 0101001 => [1,1,1,1,2,1] => 1023
[3,4,6,5,1,8,7,2] => 0011011 => [2,2,1,2] => 357
[8,7,1,5,3,2,6,4] => 1101101 => [2,1,2,1,1] => 594
[3,5,1,4,7,2,8,6] => 0100101 => [1,1,2,1,1,1] => 984
[5,1,4,8,7,3,2,6] => 1001110 => [1,2,3,1] => 262
[6,1,3,4,2,7,8,5] => 1001001 => [1,2,1,2,1] => 603
[6,5,2,3,7,8,1,4] => 1100010 => [2,3,1,1] => 256
[1,5,3,8,4,2,7,6] => 0101101 => [1,1,1,2,1,1] => 1006
[5,4,2,1,8,3,7,6] => 1110101 => [3,1,1,1,1] => 427
[3,1,7,4,2,6,8,5] => 1011001 => [1,1,2,2,1] => 611
[7,4,8,2,3,5,1,6] => 1010010 => [1,1,1,2,1,1] => 1006
[8,4,1,3,2,6,7,5] => 1101001 => [2,1,1,2,1] => 603
[8,1,7,3,2,5,6,4] => 1011001 => [1,1,2,2,1] => 611
[8,6,5,2,7,3,1,4] => 1110110 => [3,1,2,1] => 259
[3,1,6,8,4,2,7,5] => 1001101 => [1,2,2,1,1] => 594
[1,5,2,8,3,6,7,4] => 0101001 => [1,1,1,1,2,1] => 1023
[2,3,4,5,9,6,7,8,1] => 00001001 => [4,1,2,1] => 526
[2,3,4,9,5,6,7,8,1] => 00010001 => [3,1,3,1] => 676
[2,3,9,4,5,6,7,8,1] => 00100001 => [2,1,4,1] => 534
[2,3,4,5,9,7,6,8,1] => 00001101 => [4,2,1,1] => 522
[2,3,4,9,6,5,7,8,1] => 00011001 => [3,2,2,1] => 924
[2,3,9,5,4,6,7,8,1] => 00110001 => [2,2,3,1] => 934
[2,9,4,3,5,6,7,8,1] => 01100001 => [1,2,4,1] => 534
[2,3,4,5,9,7,8,6,1] => 00001011 => [4,1,1,2] => 526
[5,6,2,3,7,4,1,8] => 0100110 => [1,1,2,2,1] => 611
[6,2,4,7,3,5,1,8] => 1001010 => [1,2,1,1,1,1] => 969
[1,4,8,5,3,6,7,2] => 0011001 => [2,2,2,1] => 357
[2,5,6,3,1,8,4,7] => 0011010 => [2,2,1,1,1] => 582
[4,5,1,2,7,8,6,3] => 0100011 => [1,1,3,2] => 265
[4,8,5,1,2,6,7,3] => 0110001 => [1,2,3,1] => 262
[4,6,7,5,1,2,8,3] => 0011001 => [2,2,2,1] => 357
[7,2,8,1,4,5,3,6] => 1010010 => [1,1,1,2,1,1] => 1006
[6,1,4,7,3,8,2,5] => 1001010 => [1,2,1,1,1,1] => 969
[7,1,6,3,4,8,2,5] => 1010010 => [1,1,1,2,1,1] => 1006
[2,8,4,6,3,1,5,7] => 0101100 => [1,1,1,2,2] => 622
[8,2,6,3,5,1,4,7] => 1010100 => [1,1,1,1,1,2] => 1023
[3,7,4,1,5,8,2,6] => 0110010 => [1,2,2,1,1] => 594
[3,8,4,1,7,2,5,6] => 0110100 => [1,2,1,1,2] => 603
[6,7,5,1,3,8,2,4] => 0110010 => [1,2,2,1,1] => 594
[8,5,1,3,6,7,2,4] => 1100010 => [2,3,1,1] => 256
[7,8,6,2,4,1,3,5] => 0110100 => [1,2,1,1,2] => 603
[8,2,4,1,3,6,7,5] => 1010001 => [1,1,1,3,1] => 450
[8,1,3,6,2,5,7,4] => 1001001 => [1,2,1,2,1] => 603
[1,5,6,3,8,4,7,2] => 0010101 => [2,1,1,1,1,1] => 969
[5,6,1,3,7,2,8,4] => 0100101 => [1,1,2,1,1,1] => 984
[5,6,1,8,2,3,7,4] => 0101001 => [1,1,1,1,2,1] => 1023
[5,6,1,2,8,4,7,3] => 0100101 => [1,1,2,1,1,1] => 984
[3,7,8,1,6,4,2,5] => 0010110 => [2,1,1,2,1] => 603
[1,7,8,6,3,4,2,5] => 0011010 => [2,2,1,1,1] => 582
[1,7,3,8,6,4,2,5] => 0101110 => [1,1,1,3,1] => 450
[5,7,1,8,6,4,2,3] => 0101110 => [1,1,1,3,1] => 450
[7,8,1,5,6,4,2,3] => 0100110 => [1,1,2,2,1] => 611
[7,1,8,5,6,4,2,3] => 1010110 => [1,1,1,1,2,1] => 1023
[7,1,5,8,6,4,2,3] => 1001110 => [1,2,3,1] => 262
[8,1,3,5,6,4,2,7] => 1000110 => [1,3,2,1] => 259
[1,3,8,5,6,4,2,7] => 0010110 => [2,1,1,2,1] => 603
[1,3,5,8,6,4,2,7] => 0001110 => [3,3,1] => 110
[1,5,7,8,6,4,2,3] => 0001110 => [3,3,1] => 110
[1,8,2,6,5,3,4,7] => 0101100 => [1,1,1,2,2] => 622
[8,6,1,5,2,3,4,7] => 1101000 => [2,1,1,3] => 262
[8,5,1,6,2,3,4,7] => 1101000 => [2,1,1,3] => 262
[7,6,1,2,3,8,4,5] => 1100010 => [2,3,1,1] => 256
[2,7,8,4,1,3,5,6] => 0011000 => [2,2,3] => 153
[6,8,1,2,3,7,4,5] => 0100010 => [1,1,3,1,1] => 439
[8,1,3,5,6,7,2,4] => 1000010 => [1,4,1,1] => 145
[8,1,2,5,3,4,7,6] => 1001001 => [1,2,1,2,1] => 603
[5,2,7,3,4,8,1,6] => 1010010 => [1,1,1,2,1,1] => 1006
[8,6,4,7,3,5,2,1] => 1101011 => [2,1,1,1,2] => 603
[4,2,1,6,5,7,8,3] => 1101001 => [2,1,1,2,1] => 603
[2,7,5,4,1,3,6,8] => 0111000 => [1,3,3] => 110
[2,7,4,6,5,1,8,3] => 0101101 => [1,1,1,2,1,1] => 1006
[6,8,7,5,2,1,4,3] => 0111101 => [1,4,1,1] => 145
[2,8,6,3,5,1,4,7] => 0110100 => [1,2,1,1,2] => 603
[1,2,8,6,4,5,3,7] => 0011010 => [2,2,1,1,1] => 582
[1,5,8,7,6,3,4,2] => 0011101 => [2,3,1,1] => 256
[1,6,4,8,5,7,3,2] => 0101011 => [1,1,1,1,1,2] => 1023
[1,6,8,5,2,7,3,4] => 0011010 => [2,2,1,1,1] => 582
[1,6,8,5,4,2,3,7] => 0011100 => [2,3,2] => 153
[2,1,8,3,4,5,6,7,9] => 10100000 => [1,1,1,5] => 244
[3,1,6,4,2,5,8,7] => 1011001 => [1,1,2,2,1] => 611
[5,4,2,3,6,8,1,7] => 1100010 => [2,3,1,1] => 256
[8,2,6,3,5,7,1,4] => 1010010 => [1,1,1,2,1,1] => 1006
[3,1,7,8,6,2,5,4] => 1001101 => [1,2,2,1,1] => 594
[2,8,1,6,5,3,7,4] => 0101101 => [1,1,1,2,1,1] => 1006
[2,1,5,7,6,3,8,4] => 1001101 => [1,2,2,1,1] => 594
[4,3,5,1,7,8,6,2] => 1010011 => [1,1,1,2,2] => 622
[1,8,5,2,3,4,7,6] => 0110001 => [1,2,3,1] => 262
[1,9,6,2,3,4,5,8,7] => 01100001 => [1,2,4,1] => 534
[1,5,8,2,3,4,7,6] => 0010001 => [2,1,3,1] => 262
[1,2,7,8,4,5,6,3] => 0001001 => [3,1,2,1] => 259
[4,3,8,7,6,2,5,1] => 1011101 => [1,1,3,1,1] => 439
[5,4,8,2,7,6,3,1] => 1010111 => [1,1,1,1,3] => 450
[2,3,6,1,7,5,8,4] => 0010101 => [2,1,1,1,1,1] => 969
[4,6,5,2,1,7,8,3] => 0111001 => [1,3,2,1] => 259
[4,6,1,7,5,8,3,2] => 0101011 => [1,1,1,1,1,2] => 1023
[4,1,5,7,6,8,3,2] => 1001011 => [1,2,1,1,2] => 603
[3,5,6,2,1,4,7,8] => 0011000 => [2,2,3] => 153
[4,3,6,5,1,7,8,2] => 1011001 => [1,1,2,2,1] => 611
[4,6,5,3,1,7,8,2] => 0111001 => [1,3,2,1] => 259
[5,8,1,4,2,3,6,7] => 0101000 => [1,1,1,1,3] => 450
[4,5,8,2,3,1,6,7] => 0010100 => [2,1,1,1,2] => 603
[3,5,4,8,1,7,2,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,3,6,8,1,4,7,2] => 1001001 => [1,2,1,2,1] => 603
[3,5,1,8,6,4,7,2] => 0101101 => [1,1,1,2,1,1] => 1006
[4,7,2,8,3,1,6,5] => 0101101 => [1,1,1,2,1,1] => 1006
[1,2,5,6,8,3,7,4] => 0000101 => [4,1,1,1] => 145
[5,3,8,4,6,2,7,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,4,8,1,5,2,6,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,3,2,1,6,5,7,4] => 1110101 => [3,1,1,1,1] => 427
[4,1,5,6,8,7,2,3] => 1000110 => [1,3,2,1] => 259
[1,2,5,6,8,4,7,3] => 0000101 => [4,1,1,1] => 145
[1,5,6,8,4,7,2,3] => 0001010 => [3,1,1,1,1] => 427
[5,6,8,1,2,4,7,3] => 0010001 => [2,1,3,1] => 262
[6,8,1,4,5,7,2,3] => 0100010 => [1,1,3,1,1] => 439
[4,3,5,1,8,6,7,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[1,3,5,6,8,4,7,2] => 0000101 => [4,1,1,1] => 145
[5,6,8,2,3,4,7,1] => 0010001 => [2,1,3,1] => 262
[9,8,7,4,5,6,3,2,1] => 11100111 => [3,2,3] => 392
[6,5,1,2,4,8,7,3] => 1100011 => [2,3,2] => 153
[5,8,7,2,1,3,6,4] => 0111001 => [1,3,2,1] => 259
[5,1,7,2,8,6,3,4] => 1010110 => [1,1,1,1,2,1] => 1023
[6,1,5,3,4,8,7,2] => 1010011 => [1,1,1,2,2] => 622
[5,8,6,3,2,1,4,7] => 0111100 => [1,4,2] => 85
[8,7,1,6,3,5,4,2] => 1101011 => [2,1,1,1,2] => 603
[3,2,1,7,8,6,4,5] => 1100110 => [2,2,2,1] => 357
[8,6,7,1,2,5,3,4] => 1010010 => [1,1,1,2,1,1] => 1006
[1,5,6,4,2,8,7,3] => 0011011 => [2,2,1,2] => 357
[7,5,1,4,8,2,3,6] => 1100100 => [2,2,1,2] => 357
[3,2,8,1,7,5,6,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,4,3,1,7,5,6,2] => 1110101 => [3,1,1,1,1] => 427
[6,1,7,8,4,2,3,5] => 1001100 => [1,2,2,2] => 363
[7,4,3,1,8,5,2,6] => 1110110 => [3,1,2,1] => 259
[7,8,1,6,3,4,5,2] => 0101001 => [1,1,1,1,2,1] => 1023
[6,8,1,7,3,4,2,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,5,6,7,8,9,2,3,4] => 00000100 => [5,1,2] => 138
[1,7,2,8,9,3,4,5,6] => 01001000 => [1,1,2,1,3] => 1626
[1,6,2,7,8,9,3,4,5] => 01000100 => [1,1,3,1,2] => 1608
[1,5,2,6,7,8,9,3,4] => 01000010 => [1,1,4,1,1] => 912
[3,4,2,1,5,6,7,8,9] => 01100000 => [1,2,5] => 138
[4,3,1,2,5,6,7,8,9] => 11000000 => [2,6] => 28
[4,5,2,1,3,6,7,8,9] => 01100000 => [1,2,5] => 138
[3,4,2,5,1,6,7,8,9] => 01010000 => [1,1,1,1,4] => 934
[5,3,1,2,4,6,7,8,9] => 11000000 => [2,6] => 28
[4,3,5,1,2,6,7,8,9] => 10100000 => [1,1,1,5] => 244
[4,6,5,3,8,2,7,1] => 0110101 => [1,2,1,1,1,1] => 969
[4,5,6,3,8,1,7,2] => 0010101 => [2,1,1,1,1,1] => 969
[7,8,3,5,2,1,6,4] => 0101101 => [1,1,1,2,1,1] => 1006
[6,3,7,5,2,4,1,8] => 1011010 => [1,1,2,1,1,1] => 984
[6,2,4,5,7,3,1,8] => 1000110 => [1,3,2,1] => 259
[7,8,1,5,6,4,3,2] => 0100111 => [1,1,2,3] => 265
[6,3,7,5,1,4,2,8] => 1011010 => [1,1,2,1,1,1] => 984
[1,3,8,2,4,6,7,5] => 0010001 => [2,1,3,1] => 262
[6,1,7,3,4,2,5,8] => 1010100 => [1,1,1,1,1,2] => 1023
[3,1,7,2,5,8,6,4] => 1010011 => [1,1,1,2,2] => 622
[2,8,7,6,3,5,1,4] => 0111010 => [1,3,1,1,1] => 427
[2,8,7,1,5,6,4,3] => 0110011 => [1,2,2,2] => 363
[3,5,6,2,8,1,7,4] => 0010101 => [2,1,1,1,1,1] => 969
[5,3,1,8,6,2,7,4] => 1101101 => [2,1,2,1,1] => 594
[3,1,4,6,8,2,7,5] => 1000101 => [1,3,1,1,1] => 427
[4,1,5,7,3,8,2,6] => 1001010 => [1,2,1,1,1,1] => 969
[6,2,5,8,4,7,3,1] => 1001011 => [1,2,1,1,2] => 603
[7,2,8,5,4,3,6,1] => 1011101 => [1,1,3,1,1] => 439
[7,1,6,8,2,5,3,4] => 1001010 => [1,2,1,1,1,1] => 969
[2,6,5,7,8,4,1,3] => 0100110 => [1,1,2,2,1] => 611
[3,6,5,7,4,1,8,2] => 0101101 => [1,1,1,2,1,1] => 1006
[1,6,5,7,4,2,3,8] => 0101100 => [1,1,1,2,2] => 622
[3,4,7,5,2,1,8,6] => 0011101 => [2,3,1,1] => 256
[3,6,7,5,8,4,1,2] => 0010110 => [2,1,1,2,1] => 603
[3,4,7,2,5,6,8,1] => 0010001 => [2,1,3,1] => 262
[2,5,3,7,8,6,4,1] => 0100111 => [1,1,2,3] => 265
[7,2,8,4,5,6,3,1] => 1010011 => [1,1,1,2,2] => 622
[6,2,3,8,5,4,7,1] => 1001101 => [1,2,2,1,1] => 594
[5,4,3,1,2,6,7,8,9] => 11100000 => [3,5] => 56
[6,5,4,3,1,2,7,8,9] => 11110000 => [4,4] => 70
[8,5,4,3,9,1,2,6,7] => 11101000 => [3,1,1,3] => 676
[6,8,7,3,2,4,5,1] => 0111001 => [1,3,2,1] => 259
[3,8,6,1,4,5,7,2] => 0110001 => [1,2,3,1] => 262
[7,5,8,6,4,1,3,2] => 1011101 => [1,1,3,1,1] => 439
[2,7,6,3,8,5,1,4] => 0110110 => [1,2,1,2,1] => 603
[2,3,1,8,4,6,5,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,3,1,7,6,8,4,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,3,1,8,4,6,7,5] => 0101001 => [1,1,1,1,2,1] => 1023
[6,2,3,4,5,1,9,7,8] => 10001010 => [1,3,1,1,1,1] => 2592
[4,2,3,5,1,8,6,7] => 1001010 => [1,2,1,1,1,1] => 969
[2,3,4,5,9,7,1,8,6] => 00001101 => [4,2,1,1] => 522
[2,3,4,9,6,7,1,8,5] => 00010101 => [3,1,1,1,1,1] => 2592
[2,3,9,5,6,1,7,8,4] => 00101001 => [2,1,1,1,2,1] => 3696
[2,3,9,5,1,7,4,8,6] => 00110101 => [2,2,1,1,1,1] => 3528
[5,8,7,2,6,4,1,3] => 0110110 => [1,2,1,2,1] => 603
[6,8,5,1,7,4,3,2] => 0110111 => [1,2,1,3] => 262
[6,8,5,2,7,4,1,3] => 0110110 => [1,2,1,2,1] => 603
[7,3,8,6,5,2,1,4] => 1011110 => [1,1,4,1] => 148
[7,5,8,1,6,4,3,2] => 1010111 => [1,1,1,1,3] => 450
[7,5,8,2,6,4,1,3] => 1010110 => [1,1,1,1,2,1] => 1023
[6,3,2,8,1,7,5,4] => 1101011 => [2,1,1,1,2] => 603
[2,1,3,4,5,6,8,7,9] => 10000010 => [1,5,1,1] => 240
[2,3,4,5,6,8,7,9,1] => 00000101 => [5,1,1,1] => 240
[2,6,8,7,1,3,5,4] => 0011001 => [2,2,2,1] => 357
[5,3,8,7,6,2,1,4] => 1011110 => [1,1,4,1] => 148
[3,7,6,1,4,5,2,8] => 0110010 => [1,2,2,1,1] => 594
[4,1,6,2,7,5,3,8] => 1010110 => [1,1,1,1,2,1] => 1023
[7,6,2,5,3,1,4,8] => 1101100 => [2,1,2,2] => 363
[4,3,1,7,6,2,5,8] => 1101100 => [2,1,2,2] => 363
[4,5,3,1,2,8,6,7] => 0110010 => [1,2,2,1,1] => 594
[2,4,5,3,1,8,6,7] => 0011010 => [2,2,1,1,1] => 582
[5,7,6,2,3,1,4,8] => 0110100 => [1,2,1,1,2] => 603
[4,1,3,7,5,2,6,8] => 1001100 => [1,2,2,2] => 363
[4,1,6,3,2,7,5,8] => 1011010 => [1,1,2,1,1,1] => 984
[7,5,4,1,3,2,6,8] => 1110100 => [3,1,1,2] => 259
[2,4,8,5,6,3,1,7] => 0010110 => [2,1,1,2,1] => 603
[2,5,7,4,1,3,6,8] => 0011000 => [2,2,3] => 153
[5,7,4,1,3,2,6,8] => 0110100 => [1,2,1,1,2] => 603
[2,6,8,4,5,3,1,7] => 0010110 => [2,1,1,2,1] => 603
[5,2,3,7,4,1,6,8] => 1001100 => [1,2,2,2] => 363
[4,5,1,6,3,2,7,8] => 0101100 => [1,1,1,2,2] => 622
[5,1,6,3,2,4,7,8] => 1011000 => [1,1,2,3] => 265
[4,2,5,1,6,3,7,8] => 1010100 => [1,1,1,1,1,2] => 1023
[5,1,6,2,4,3,7,8] => 1010100 => [1,1,1,1,1,2] => 1023
[5,3,4,8,7,6,2,1] => 1001111 => [1,2,4] => 85
[8,3,1,6,7,5,4,2] => 1100111 => [2,2,3] => 153
[8,4,6,5,7,2,3,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[1,8,2,6,7,4,5,3] => 0100101 => [1,1,2,1,1,1] => 984
[8,5,7,2,4,3,6,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,5,3,6,4,7,2,1] => 1101011 => [2,1,1,1,2] => 603
[8,2,5,3,6,7,4,1] => 1010011 => [1,1,1,2,2] => 622
[1,2,8,3,4,7,6,5] => 0010011 => [2,1,2,2] => 363
[6,8,5,2,7,1,3,4] => 0110100 => [1,2,1,1,2] => 603
[7,6,4,5,2,1,8,3] => 1101101 => [2,1,2,1,1] => 594
[8,2,4,7,6,3,1,5] => 1001110 => [1,2,3,1] => 262
[7,3,8,5,4,2,1,6] => 1011110 => [1,1,4,1] => 148
[6,3,4,7,2,8,5,1] => 1001011 => [1,2,1,1,2] => 603
[8,1,7,3,6,4,2,5] => 1010110 => [1,1,1,1,2,1] => 1023
[7,1,8,5,3,4,2,6] => 1011010 => [1,1,2,1,1,1] => 984
[6,8,4,3,1,5,2,7] => 0111010 => [1,3,1,1,1] => 427
[1,4,5,8,3,2,6,7] => 0001100 => [3,2,2] => 153
[1,5,2,4,7,8,6,3] => 0100011 => [1,1,3,2] => 265
[5,2,7,4,3,8,6,1] => 1011011 => [1,1,2,1,2] => 611
[2,7,3,4,8,5,6,1] => 0100101 => [1,1,2,1,1,1] => 984
[2,7,6,8,3,5,4,1] => 0101011 => [1,1,1,1,1,2] => 1023
[2,7,4,5,3,8,6,1] => 0101011 => [1,1,1,1,1,2] => 1023
[6,2,3,7,4,5,8,1] => 1001001 => [1,2,1,2,1] => 603
[1,6,3,2,7,5,8,4] => 0110101 => [1,2,1,1,1,1] => 969
[7,3,5,2,6,8,1,4] => 1010010 => [1,1,1,2,1,1] => 1006
[6,4,2,7,1,5,8,3] => 1101001 => [2,1,1,2,1] => 603
[2,5,3,6,4,7,8,1] => 0101001 => [1,1,1,1,2,1] => 1023
[4,2,5,3,6,7,8,1] => 1010001 => [1,1,1,3,1] => 450
[1,6,5,2,4,7,3,8] => 0110010 => [1,2,2,1,1] => 594
[1,8,7,2,4,6,3,5] => 0110010 => [1,2,2,1,1] => 594
[1,8,7,2,5,4,3,6] => 0110110 => [1,2,1,2,1] => 603
[1,5,4,2,7,3,6,8] => 0110100 => [1,2,1,1,2] => 603
[1,5,4,2,8,7,3,6] => 0110110 => [1,2,1,2,1] => 603
[1,6,8,3,5,2,4,7] => 0010100 => [2,1,1,1,2] => 603
[1,7,6,2,3,5,8,4] => 0110001 => [1,2,3,1] => 262
[1,2,8,3,6,5,4,7] => 0010110 => [2,1,1,2,1] => 603
[1,3,8,6,5,2,4,7] => 0011100 => [2,3,2] => 153
[1,4,7,3,2,8,6,5] => 0011011 => [2,2,1,2] => 357
[1,8,6,5,2,4,7,3] => 0111001 => [1,3,2,1] => 259
[1,6,8,4,3,2,5,7] => 0011100 => [2,3,2] => 153
[1,7,5,3,2,6,4,8] => 0111010 => [1,3,1,1,1] => 427
[1,2,6,5,3,8,4,7] => 0011010 => [2,2,1,1,1] => 582
[1,7,3,2,8,4,6,5] => 0110101 => [1,2,1,1,1,1] => 969
[1,6,5,2,8,4,7,3] => 0110101 => [1,2,1,1,1,1] => 969
[1,8,3,7,2,4,6,5] => 0101001 => [1,1,1,1,2,1] => 1023
[5,4,2,8,7,6,1,3] => 1101110 => [2,1,3,1] => 262
[8,6,3,2,5,7,4,1] => 1110011 => [3,2,2] => 153
[7,3,2,1,6,5,8,4] => 1110101 => [3,1,1,1,1] => 427
[7,3,2,6,1,5,8,4] => 1101001 => [2,1,1,2,1] => 603
[6,8,5,2,7,1,4,3] => 0110101 => [1,2,1,1,1,1] => 969
[6,8,2,5,1,7,4,3] => 0101011 => [1,1,1,1,1,2] => 1023
[6,8,5,7,2,1,4,3] => 0101101 => [1,1,1,2,1,1] => 1006
[6,5,8,2,7,4,1,3] => 1010110 => [1,1,1,1,2,1] => 1023
[6,2,1,7,5,8,4,3] => 1101011 => [2,1,1,1,2] => 603
[1,6,4,8,5,3,7,2] => 0101101 => [1,1,1,2,1,1] => 1006
[1,6,5,3,4,7,8,2] => 0110001 => [1,2,3,1] => 262
[4,2,6,7,8,1,3,5] => 1000100 => [1,3,1,2] => 259
[4,6,5,1,3,7,8,2] => 0110001 => [1,2,3,1] => 262
[5,1,7,2,6,4,8,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,1,7,6,5,8,2,3] => 1011010 => [1,1,2,1,1,1] => 984
[5,2,1,7,6,4,8,3] => 1101101 => [2,1,2,1,1] => 594
[4,2,3,6,7,8,1,5] => 1000010 => [1,4,1,1] => 145
[4,7,2,1,6,5,8,3] => 0110101 => [1,2,1,1,1,1] => 969
[2,7,6,4,1,5,8,3] => 0111001 => [1,3,2,1] => 259
[2,4,3,6,7,8,1,5] => 0100010 => [1,1,3,1,1] => 439
[6,8,5,2,7,3,1,4] => 0110110 => [1,2,1,2,1] => 603
[7,5,2,4,1,8,3,6] => 1101010 => [2,1,1,1,1,1] => 969
[6,5,1,3,7,8,2,4] => 1100010 => [2,3,1,1] => 256
[7,2,1,4,3,5,8,6] => 1101001 => [2,1,1,2,1] => 603
[6,1,2,4,3,7,8,5] => 1001001 => [1,2,1,2,1] => 603
[8,1,5,4,2,3,6,7] => 1011000 => [1,1,2,3] => 265
[7,1,2,4,6,3,8,5] => 1000101 => [1,3,1,1,1] => 427
[7,1,2,6,5,3,8,4] => 1001101 => [1,2,2,1,1] => 594
[7,5,6,1,2,4,8,3] => 1010001 => [1,1,1,3,1] => 450
[7,1,4,5,2,3,6,8] => 1001000 => [1,2,1,3] => 262
[6,1,4,8,7,2,3,5] => 1001100 => [1,2,2,2] => 363
[6,1,8,5,7,2,3,4] => 1010100 => [1,1,1,1,1,2] => 1023
[1,6,7,5,8,3,4,2] => 0010101 => [2,1,1,1,1,1] => 969
[6,1,7,5,8,2,3,4] => 1010100 => [1,1,1,1,1,2] => 1023
[6,1,4,7,8,2,3,5] => 1000100 => [1,3,1,2] => 259
[8,1,2,3,7,5,4,6] => 1000110 => [1,3,2,1] => 259
[5,8,6,1,2,4,7,3] => 0110001 => [1,2,3,1] => 262
[1,6,8,7,5,3,4,2] => 0011101 => [2,3,1,1] => 256
[6,1,8,7,5,2,3,4] => 1011100 => [1,1,3,2] => 265
[8,3,1,2,4,6,5,7] => 1100010 => [2,3,1,1] => 256
[8,3,1,2,4,5,7,6] => 1100001 => [2,4,1] => 85
[6,3,1,2,4,7,5,8] => 1100010 => [2,3,1,1] => 256
[6,7,1,4,2,3,5,8] => 0101000 => [1,1,1,1,3] => 450
[6,1,7,4,8,2,3,5] => 1010100 => [1,1,1,1,1,2] => 1023
[6,7,8,5,1,2,4,3] => 0011001 => [2,2,2,1] => 357
[8,6,5,4,3,2,7,9,1] => 11111001 => [5,2,1] => 138
[8,9,5,4,3,2,1,6,7] => 01111100 => [1,5,2] => 138
[7,6,5,4,3,8,9,1,2] => 11110010 => [4,2,1,1] => 522
[9,6,5,4,3,2,7,1,8] => 11111010 => [5,1,1,1] => 240
[9,2,3,4,5,6,1,7,8] => 10000100 => [1,4,1,2] => 526
[3,1,5,6,7,8,9,2,4] => 10000010 => [1,5,1,1] => 240
[2,1,3,5,6,7,8,9,4] => 10000001 => [1,6,1] => 50
[4,3,8,5,6,2,7,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,3,8,6,7,2,5,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,6,8,1,5,3,4,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,4,6,1,5,3,8,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,3,8,1,7,2,5,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,1,5,4,8,2,7,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,2,5,4,7,1,8,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[2,6,3,4,8,7,5,1] => 0100111 => [1,1,2,3] => 265
[2,7,4,5,1,8,3,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[8,4,5,7,6,1,2,3] => 1001100 => [1,2,2,2] => 363
[8,4,5,7,1,3,6,2] => 1001001 => [1,2,1,2,1] => 603
[8,1,3,4,6,7,5,2] => 1000011 => [1,4,2] => 85
[8,7,6,2,3,5,4,1] => 1110011 => [3,2,2] => 153
[8,3,6,7,5,1,2,4] => 1001100 => [1,2,2,2] => 363
[8,2,1,6,5,7,4,3] => 1101011 => [2,1,1,1,2] => 603
[2,7,1,8,5,6,4,3] => 0101011 => [1,1,1,1,1,2] => 1023
[2,7,8,6,1,5,3,4] => 0011010 => [2,2,1,1,1] => 582
[4,6,8,2,3,5,1,7] => 0010010 => [2,1,2,1,1] => 594
[6,8,2,1,3,5,4,7] => 0110010 => [1,2,2,1,1] => 594
[3,5,1,6,4,8,2,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,5,8,6,2,1,4,7] => 0011100 => [2,3,2] => 153
[2,4,8,5,6,1,3,7] => 0010100 => [2,1,1,1,2] => 603
[4,8,2,5,6,1,3,7] => 0100100 => [1,1,2,1,2] => 611
[5,3,8,4,2,7,6,1] => 1011011 => [1,1,2,1,2] => 611
[2,8,5,3,1,4,7,6] => 0111001 => [1,3,2,1] => 259
[1,7,8,4,6,3,2,5] => 0010110 => [2,1,1,2,1] => 603
[8,7,2,4,6,3,1,5] => 1100110 => [2,2,2,1] => 357
[8,7,3,2,1,6,4,5] => 1111010 => [4,1,1,1] => 145
[7,8,3,4,6,5,2,1] => 0100111 => [1,1,2,3] => 265
[8,7,3,6,5,2,4,1] => 1101101 => [2,1,2,1,1] => 594
[3,1,2,8,6,5,7,4] => 1001101 => [1,2,2,1,1] => 594
[3,8,2,7,5,4,6,1] => 0101101 => [1,1,1,2,1,1] => 1006
[8,7,1,4,5,3,6,2] => 1100101 => [2,2,1,1,1] => 582
[2,8,7,4,6,3,5,1] => 0110101 => [1,2,1,1,1,1] => 969
[2,8,7,4,6,3,1,5] => 0110110 => [1,2,1,2,1] => 603
[8,3,4,1,2,5,7,6] => 1010001 => [1,1,1,3,1] => 450
[8,4,1,3,2,5,7,6] => 1101001 => [2,1,1,2,1] => 603
[7,3,8,6,2,1,4,5] => 1011100 => [1,1,3,2] => 265
[7,2,8,4,6,5,1,3] => 1010110 => [1,1,1,1,2,1] => 1023
[5,8,6,4,7,2,3,1] => 0110101 => [1,2,1,1,1,1] => 969
[4,7,2,6,5,8,3,1] => 0101011 => [1,1,1,1,1,2] => 1023
[3,6,8,5,7,4,2,1] => 0010111 => [2,1,1,3] => 262
[6,7,5,2,4,8,3,1] => 0110011 => [1,2,2,2] => 363
[8,1,2,7,5,6,3,4] => 1001010 => [1,2,1,1,1,1] => 969
[8,2,7,3,4,6,1,5] => 1010010 => [1,1,1,2,1,1] => 1006
[6,7,5,4,8,1,3,2] => 0110101 => [1,2,1,1,1,1] => 969
[8,3,5,6,4,7,2,1] => 1001011 => [1,2,1,1,2] => 603
[8,5,6,2,4,3,7,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,5,8,1,3,4,2,7] => 1010010 => [1,1,1,2,1,1] => 1006
[6,8,4,5,1,3,2,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[6,4,8,7,5,3,2,1] => 1011111 => [1,1,5] => 37
[6,7,1,4,3,2,8,5] => 0101101 => [1,1,1,2,1,1] => 1006
[7,2,5,1,4,8,3,6] => 1010010 => [1,1,1,2,1,1] => 1006
[5,8,1,3,4,2,7,6] => 0100101 => [1,1,2,1,1,1] => 984
[1,5,6,3,2,8,7,4] => 0011011 => [2,2,1,2] => 357
[1,3,7,6,8,4,2,5] => 0010110 => [2,1,1,2,1] => 603
[1,6,7,3,2,8,5,4] => 0011011 => [2,2,1,2] => 357
[3,2,7,6,8,4,5,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[1,3,8,5,2,7,6,4] => 0011011 => [2,2,1,2] => 357
[6,4,1,5,2,8,7,3] => 1101011 => [2,1,1,1,2] => 603
[7,6,5,3,1,8,2,4] => 1111010 => [4,1,1,1] => 145
[2,5,1,4,7,3,6,8] => 0100100 => [1,1,2,1,2] => 611
[3,1,6,5,7,2,4,8] => 1010100 => [1,1,1,1,1,2] => 1023
[2,6,1,5,7,4,8,3] => 0100101 => [1,1,2,1,1,1] => 984
[2,5,7,1,6,3,8,4] => 0010101 => [2,1,1,1,1,1] => 969
[2,6,1,5,7,4,3,8] => 0100110 => [1,1,2,2,1] => 611
[3,1,6,5,2,4,7,8] => 1011000 => [1,1,2,3] => 265
[3,6,5,1,4,2,7,8] => 0110100 => [1,2,1,1,2] => 603
[3,6,5,1,7,2,4,8] => 0110100 => [1,2,1,1,2] => 603
[3,6,5,2,1,4,7,8] => 0111000 => [1,3,3] => 110
[5,4,3,6,1,7,2,8] => 1101010 => [2,1,1,1,1,1] => 969
[4,5,2,7,6,1,3,8] => 0101100 => [1,1,1,2,2] => 622
[4,6,5,3,1,2,7,8] => 0111000 => [1,3,3] => 110
[5,4,1,6,3,7,2,8] => 1101010 => [2,1,1,1,1,1] => 969
[5,4,2,6,3,7,8,1] => 1101001 => [2,1,1,2,1] => 603
[3,6,5,7,1,4,2,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,6,5,1,4,7,2,8] => 0110010 => [1,2,2,1,1] => 594
[4,3,6,5,7,1,2,8] => 1010100 => [1,1,1,1,1,2] => 1023
[4,2,6,5,1,3,7,8] => 1011000 => [1,1,2,3] => 265
[4,1,6,5,3,7,8,2] => 1011001 => [1,1,2,2,1] => 611
[4,2,5,7,6,1,3,8] => 1001100 => [1,2,2,2] => 363
[3,4,7,6,1,2,5,8] => 0011000 => [2,2,3] => 153
[4,2,5,7,6,3,8,1] => 1001101 => [1,2,2,1,1] => 594
[4,1,6,5,2,7,3,8] => 1011010 => [1,1,2,1,1,1] => 984
[3,6,5,7,2,1,4,8] => 0101100 => [1,1,1,2,2] => 622
[3,5,7,6,2,4,1,8] => 0011010 => [2,2,1,1,1] => 582
[5,4,2,6,3,7,1,8] => 1101010 => [2,1,1,1,1,1] => 969
[4,6,5,2,7,3,1,8] => 0110110 => [1,2,1,2,1] => 603
[4,6,5,2,1,7,3,8] => 0111010 => [1,3,1,1,1] => 427
[3,5,8,2,1,4,6,7] => 0011000 => [2,2,3] => 153
[3,5,8,2,4,6,7,1] => 0010001 => [2,1,3,1] => 262
[5,3,8,2,1,4,6,7] => 1011000 => [1,1,2,3] => 265
[5,3,1,8,2,4,6,7] => 1101000 => [2,1,1,3] => 262
[5,1,3,8,2,4,6,7] => 1001000 => [1,2,1,3] => 262
[1,5,8,4,2,3,6,7] => 0011000 => [2,2,3] => 153
[5,8,2,1,4,3,6,7] => 0110100 => [1,2,1,1,2] => 603
[5,8,2,4,1,6,7,3] => 0101001 => [1,1,1,1,2,1] => 1023
[5,8,2,4,6,3,1,7] => 0100110 => [1,1,2,2,1] => 611
[5,8,2,4,3,6,1,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,8,1,4,6,2,3,7] => 0100100 => [1,1,2,1,2] => 611
[1,5,8,4,6,7,2,3] => 0010010 => [2,1,2,1,1] => 594
[5,1,8,4,6,7,2,3] => 1010010 => [1,1,1,2,1,1] => 1006
[5,8,2,4,6,3,7,1] => 0100101 => [1,1,2,1,1,1] => 984
[3,8,4,6,7,2,1,5] => 0100110 => [1,1,2,2,1] => 611
[3,8,4,6,7,2,5,1] => 0100101 => [1,1,2,1,1,1] => 984
[8,4,3,6,7,2,5,1] => 1100101 => [2,2,1,1,1] => 582
[8,4,3,6,7,2,1,5] => 1100110 => [2,2,2,1] => 357
[8,6,2,4,5,3,7,1] => 1100101 => [2,2,1,1,1] => 582
[1,8,6,4,5,7,2,3] => 0110010 => [1,2,2,1,1] => 594
[8,6,2,4,5,3,1,7] => 1100110 => [2,2,2,1] => 357
[1,8,6,4,2,3,5,7] => 0111000 => [1,3,3] => 110
[3,8,1,6,2,4,5,7] => 0101000 => [1,1,1,1,3] => 450
[3,8,6,2,1,4,5,7] => 0111000 => [1,3,3] => 110
[3,8,6,2,4,1,5,7] => 0110100 => [1,2,1,1,2] => 603
[3,8,6,2,4,5,7,1] => 0110001 => [1,2,3,1] => 262
[8,3,6,2,4,5,1,7] => 1010010 => [1,1,1,2,1,1] => 1006
[8,1,3,6,2,4,5,7] => 1001000 => [1,2,1,3] => 262
[8,3,6,7,2,1,4,5] => 1001100 => [1,2,2,2] => 363
[3,8,6,7,2,1,4,5] => 0101100 => [1,1,1,2,2] => 622
[8,2,6,4,5,1,7,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[1,8,4,6,7,5,2,3] => 0100110 => [1,1,2,2,1] => 611
[8,4,6,2,3,7,5,1] => 1010011 => [1,1,1,2,2] => 622
[8,4,7,2,1,3,6,5] => 1011001 => [1,1,2,2,1] => 611
[2,7,1,6,3,5,8,4] => 0101001 => [1,1,1,1,2,1] => 1023
[8,4,2,1,5,3,7,6] => 1110101 => [3,1,1,1,1] => 427
[8,2,1,4,7,3,6,5] => 1100101 => [2,2,1,1,1] => 582
[1,6,2,5,8,4,7,3] => 0100101 => [1,1,2,1,1,1] => 984
[3,2,1,7,4,5,8,6] => 1101001 => [2,1,1,2,1] => 603
[2,6,8,5,1,7,4,3] => 0011011 => [2,2,1,2] => 357
[2,1,5,8,7,3,6,4] => 1001101 => [1,2,2,1,1] => 594
[3,2,1,6,7,4,8,5] => 1100101 => [2,2,1,1,1] => 582
[4,3,1,7,8,5,2,6] => 1100110 => [2,2,2,1] => 357
[5,6,8,2,4,3,7,1] => 0010101 => [2,1,1,1,1,1] => 969
[2,8,5,3,6,4,7,1] => 0110101 => [1,2,1,1,1,1] => 969
[1,2,8,6,4,7,3,5] => 0011010 => [2,2,1,1,1] => 582
[5,3,2,7,8,6,4,1] => 1100111 => [2,2,3] => 153
[4,2,7,8,3,5,6,1] => 1001001 => [1,2,1,2,1] => 603
[2,8,3,7,1,4,6,5] => 0101001 => [1,1,1,1,2,1] => 1023
[2,8,7,1,5,3,6,4] => 0110101 => [1,2,1,1,1,1] => 969
[7,3,5,6,4,2,8,1] => 1001101 => [1,2,2,1,1] => 594
[3,8,4,2,7,6,5,1] => 0110111 => [1,2,1,3] => 262
[4,8,3,2,7,5,6,1] => 0110101 => [1,2,1,1,1,1] => 969
[3,2,4,8,7,5,6,1] => 1001101 => [1,2,2,1,1] => 594
[2,6,8,1,5,3,4,7] => 0010100 => [2,1,1,1,2] => 603
[3,2,5,6,8,1,4,7] => 1000100 => [1,3,1,2] => 259
[3,8,1,6,4,5,2,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[8,1,3,6,5,4,2,7] => 1001110 => [1,2,3,1] => 262
[7,4,3,6,2,1,8,5] => 1101101 => [2,1,2,1,1] => 594
[1,2,4,8,6,3,7,5] => 0001101 => [3,2,1,1] => 256
[7,2,1,5,3,4,8,6] => 1101001 => [2,1,1,2,1] => 603
[5,7,2,3,1,4,8,6] => 0101001 => [1,1,1,1,2,1] => 1023
[7,1,5,2,4,6,8,3] => 1010001 => [1,1,1,3,1] => 450
[8,4,2,7,3,5,6,1] => 1101001 => [2,1,1,2,1] => 603
[1,8,6,4,7,5,3,2] => 0110111 => [1,2,1,3] => 262
[7,4,1,5,8,6,3,2] => 1100111 => [2,2,3] => 153
[4,5,8,7,3,1,2,6] => 0011100 => [2,3,2] => 153
[1,3,8,7,6,4,2,5] => 0011110 => [2,4,1] => 85
[2,8,5,1,7,4,6,3] => 0110101 => [1,2,1,1,1,1] => 969
[1,8,6,4,7,5,2,3] => 0110110 => [1,2,1,2,1] => 603
[2,7,4,6,3,8,5,1] => 0101011 => [1,1,1,1,1,2] => 1023
[1,2,8,6,4,7,5,3] => 0011011 => [2,2,1,2] => 357
[3,4,5,7,8,9,1,2,6] => 00000100 => [5,1,2] => 138
[3,5,6,7,8,9,1,2,4] => 00000100 => [5,1,2] => 138
[3,4,5,6,9,1,2,7,8] => 00001000 => [4,1,3] => 220
[3,4,5,6,1,2,7,8,9] => 00010000 => [3,1,4] => 220
[5,1,6,7,8,9,2,3,4] => 10000100 => [1,4,1,2] => 526
[4,1,8,6,3,7,5,2] => 1011011 => [1,1,2,1,2] => 611
[8,4,3,1,6,2,5,7] => 1110100 => [3,1,1,2] => 259
[7,5,4,3,8,1,6,2] => 1110101 => [3,1,1,1,1] => 427
[5,3,1,6,2,8,7,4] => 1101011 => [2,1,1,1,2] => 603
[3,5,4,1,7,8,2,6] => 0110010 => [1,2,2,1,1] => 594
[6,4,2,1,5,7,3,8] => 1110010 => [3,2,1,1] => 256
[3,1,5,8,7,2,4,6] => 1001100 => [1,2,2,2] => 363
[3,2,5,7,8,4,6,1] => 1000101 => [1,3,1,1,1] => 427
[5,3,7,4,2,6,8,1] => 1011001 => [1,1,2,2,1] => 611
[5,3,7,4,2,6,1,8] => 1011010 => [1,1,2,1,1,1] => 984
[5,3,8,4,2,1,6,7] => 1011100 => [1,1,3,2] => 265
[5,2,8,4,3,1,6,7] => 1011100 => [1,1,3,2] => 265
[5,1,8,4,3,2,6,7] => 1011100 => [1,1,3,2] => 265
[5,2,7,4,3,6,1,8] => 1011010 => [1,1,2,1,1,1] => 984
[5,2,7,4,3,6,8,1] => 1011001 => [1,1,2,2,1] => 611
[5,3,7,4,1,6,8,2] => 1011001 => [1,1,2,2,1] => 611
[3,1,5,7,8,4,6,2] => 1000101 => [1,3,1,1,1] => 427
[3,1,5,7,8,4,2,6] => 1000110 => [1,3,2,1] => 259
[5,2,7,4,1,3,8,6] => 1011001 => [1,1,2,2,1] => 611
[6,2,3,7,4,8,5,1] => 1001011 => [1,2,1,1,2] => 603
[6,2,3,7,4,8,1,5] => 1001010 => [1,2,1,1,1,1] => 969
[6,2,3,7,4,5,1,8] => 1001010 => [1,2,1,1,1,1] => 969
[6,1,3,7,4,5,8,2] => 1001001 => [1,2,1,2,1] => 603
[1,2,8,6,4,3,5,7] => 0011100 => [2,3,2] => 153
[6,1,3,7,4,5,2,8] => 1001010 => [1,2,1,1,1,1] => 969
[1,8,6,3,5,4,2,7] => 0110110 => [1,2,1,2,1] => 603
[2,6,1,8,5,3,4,7] => 0101100 => [1,1,1,2,2] => 622
[4,5,7,8,1,6,3,2] => 0001011 => [3,1,1,2] => 259
[2,5,7,8,4,6,3,1] => 0001011 => [3,1,1,2] => 259
[1,8,2,7,5,3,4,6] => 0101100 => [1,1,1,2,2] => 622
[2,5,4,1,8,6,7,3] => 0110101 => [1,2,1,1,1,1] => 969
[7,3,5,1,4,8,6,2] => 1010011 => [1,1,1,2,2] => 622
[7,1,3,2,4,5,6,8] => 1010000 => [1,1,1,4] => 148
[3,8,7,1,4,2,5,6] => 0110100 => [1,2,1,1,2] => 603
[5,1,7,8,2,4,3,6] => 1001010 => [1,2,1,1,1,1] => 969
[8,5,4,6,1,7,3,2] => 1101011 => [2,1,1,1,2] => 603
[5,3,2,1,4,6,8,7] => 1110001 => [3,3,1] => 110
[5,3,2,4,8,1,6,7] => 1100100 => [2,2,1,2] => 357
[5,3,2,4,7,1,8,6] => 1100101 => [2,2,1,1,1] => 582
[4,8,1,7,3,5,6,2] => 0101001 => [1,1,1,1,2,1] => 1023
[5,3,2,4,6,8,1,7] => 1100010 => [2,3,1,1] => 256
[1,2,4,3,5,7,8,9,6] => 00100001 => [2,1,4,1] => 534
[2,7,6,3,1,4,8,5] => 0111001 => [1,3,2,1] => 259
[3,7,4,5,6,8,2,1] => 0100011 => [1,1,3,2] => 265
[8,7,1,4,2,5,3,6] => 1101010 => [2,1,1,1,1,1] => 969
[4,6,8,3,7,1,5,2] => 0010101 => [2,1,1,1,1,1] => 969
[4,7,3,5,8,1,6,2] => 0100101 => [1,1,2,1,1,1] => 984
[8,4,3,5,7,1,6,2] => 1100101 => [2,2,1,1,1] => 582
[1,7,6,4,2,5,3,8] => 0111010 => [1,3,1,1,1] => 427
[7,6,4,2,8,3,1,5] => 1110110 => [3,1,2,1] => 259
[8,5,2,4,3,7,1,6] => 1101010 => [2,1,1,1,1,1] => 969
[8,5,1,4,3,7,6,2] => 1101011 => [2,1,1,1,2] => 603
[7,5,4,1,3,6,8,2] => 1110001 => [3,3,1] => 110
[3,6,7,2,5,1,8,4] => 0010101 => [2,1,1,1,1,1] => 969
[2,6,5,7,1,4,8,3] => 0101001 => [1,1,1,1,2,1] => 1023
[3,5,1,7,8,4,6,2] => 0100101 => [1,1,2,1,1,1] => 984
[1,5,2,4,6,8,7,3] => 0100011 => [1,1,3,2] => 265
[8,1,2,4,7,6,5,3] => 1000111 => [1,3,3] => 110
[3,4,1,8,6,7,5,2] => 0101011 => [1,1,1,1,1,2] => 1023
[4,3,8,5,1,7,6,2] => 1011011 => [1,1,2,1,2] => 611
[6,1,3,2,8,5,7,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[3,1,2,4,5,6,7,9,8] => 10000001 => [1,6,1] => 50
[8,5,3,2,4,7,1,6] => 1110010 => [3,2,1,1] => 256
[6,7,4,2,5,8,3,1] => 0110011 => [1,2,2,2] => 363
[8,5,4,2,6,3,1,7] => 1110110 => [3,1,2,1] => 259
[8,5,2,1,6,4,3,7] => 1110110 => [3,1,2,1] => 259
[8,4,6,5,1,3,2,7] => 1011010 => [1,1,2,1,1,1] => 984
[1,3,8,4,7,5,2,6] => 0010110 => [2,1,1,2,1] => 603
[5,3,7,1,4,6,8,2] => 1010001 => [1,1,1,3,1] => 450
[5,7,2,6,1,4,8,3] => 0101001 => [1,1,1,1,2,1] => 1023
[3,8,5,7,6,1,2,4] => 0101100 => [1,1,1,2,2] => 622
[8,4,7,5,2,1,3,6] => 1011100 => [1,1,3,2] => 265
[3,8,6,4,7,2,1,5] => 0110110 => [1,2,1,2,1] => 603
[5,2,7,4,6,8,3,1] => 1010011 => [1,1,1,2,2] => 622
[4,8,6,3,7,2,1,5] => 0110110 => [1,2,1,2,1] => 603
[2,8,3,1,7,6,4,5] => 0110110 => [1,2,1,2,1] => 603
[2,5,6,4,8,1,7,3] => 0010101 => [2,1,1,1,1,1] => 969
[5,7,2,1,6,8,3,4] => 0110010 => [1,2,2,1,1] => 594
[4,7,8,5,1,6,2,3] => 0011010 => [2,2,1,1,1] => 582
[4,5,2,1,6,7,8,3] => 0110001 => [1,2,3,1] => 262
[4,5,6,3,1,7,8,2] => 0011001 => [2,2,2,1] => 357
[3,5,6,7,4,1,8,2] => 0001101 => [3,2,1,1] => 256
[3,5,1,4,2,8,7,6] => 0101011 => [1,1,1,1,1,2] => 1023
[3,5,1,4,2,6,8,7] => 0101001 => [1,1,1,1,2,1] => 1023
[3,5,1,4,2,6,7,8] => 0101000 => [1,1,1,1,3] => 450
[1,3,8,4,6,2,5,7] => 0010100 => [2,1,1,1,2] => 603
[1,8,4,2,3,7,5,6] => 0110010 => [1,2,2,1,1] => 594
[1,4,8,3,2,7,6,5] => 0011011 => [2,2,1,2] => 357
[1,3,7,6,5,2,4,8] => 0011100 => [2,3,2] => 153
[1,2,8,6,7,5,4,3] => 0010111 => [2,1,1,3] => 262
[1,7,5,4,3,2,6,8] => 0111100 => [1,4,2] => 85
[3,8,5,7,4,6,2,1] => 0101011 => [1,1,1,1,1,2] => 1023
[7,6,3,2,5,1,8,4] => 1110101 => [3,1,1,1,1] => 427
[4,2,5,7,8,6,3,1] => 1000111 => [1,3,3] => 110
[6,7,2,4,5,1,8,3] => 0100101 => [1,1,2,1,1,1] => 984
[5,2,7,8,3,6,1,4] => 1001010 => [1,2,1,1,1,1] => 969
[2,4,7,8,1,3,6,5] => 0001001 => [3,1,2,1] => 259
[8,5,1,2,3,7,4,6] => 1100010 => [2,3,1,1] => 256
[5,2,8,3,1,4,7,6] => 1011001 => [1,1,2,2,1] => 611
[8,7,2,5,1,4,3,6] => 1101010 => [2,1,1,1,1,1] => 969
[8,4,1,3,2,7,6,5] => 1101011 => [2,1,1,1,2] => 603
[8,3,5,1,2,4,7,6] => 1010001 => [1,1,1,3,1] => 450
[8,6,5,1,7,4,2,3] => 1110110 => [3,1,2,1] => 259
[8,7,4,5,1,2,6,3] => 1101001 => [2,1,1,2,1] => 603
[3,8,6,2,7,1,5,4] => 0110101 => [1,2,1,1,1,1] => 969
[3,4,8,2,1,7,6,5] => 0011011 => [2,2,1,2] => 357
[3,8,4,2,1,7,6,5] => 0111011 => [1,3,1,2] => 259
[8,3,1,7,5,6,2,4] => 1101010 => [2,1,1,1,1,1] => 969
[8,4,1,7,5,2,6,3] => 1101101 => [2,1,2,1,1] => 594
[8,4,2,7,5,3,1,6] => 1101110 => [2,1,3,1] => 262
[8,4,3,7,5,1,2,6] => 1101100 => [2,1,2,2] => 363
[8,5,7,6,4,3,1,2] => 1011110 => [1,1,4,1] => 148
[8,4,7,6,5,2,1,3] => 1011110 => [1,1,4,1] => 148
[8,3,1,4,7,6,2,5] => 1100110 => [2,2,2,1] => 357
[8,3,5,7,6,2,4,1] => 1001101 => [1,2,2,1,1] => 594
[1,4,6,8,2,5,7,3] => 0001001 => [3,1,2,1] => 259
[3,6,2,4,8,1,7,5] => 0100101 => [1,1,2,1,1,1] => 984
[7,3,8,2,4,6,1,5] => 1010010 => [1,1,1,2,1,1] => 1006
[1,5,2,6,8,3,7,4] => 0100101 => [1,1,2,1,1,1] => 984
[4,5,3,1,8,2,6,7] => 0110100 => [1,2,1,1,2] => 603
[7,2,8,4,1,3,5,6] => 1011000 => [1,1,2,3] => 265
[6,1,7,3,2,8,4,5] => 1011010 => [1,1,2,1,1,1] => 984
[6,2,1,7,3,8,4,5] => 1101010 => [2,1,1,1,1,1] => 969
[5,8,2,1,3,4,6,7] => 0110000 => [1,2,4] => 85
[4,2,5,1,8,3,6,7] => 1010100 => [1,1,1,1,1,2] => 1023
[7,4,2,8,3,1,5,6] => 1101100 => [2,1,2,2] => 363
[7,4,2,8,3,5,1,6] => 1101010 => [2,1,1,1,1,1] => 969
[6,7,8,5,2,1,4,3] => 0011101 => [2,3,1,1] => 256
[1,6,2,7,8,4,3,5] => 0100110 => [1,1,2,2,1] => 611
[7,3,4,1,8,6,2,5] => 1010110 => [1,1,1,1,2,1] => 1023
[4,7,6,3,5,8,2,1] => 0110011 => [1,2,2,2] => 363
[3,7,6,5,2,4,8,1] => 0111001 => [1,3,2,1] => 259
[1,4,7,8,6,2,5,3] => 0001101 => [3,2,1,1] => 256
[1,6,7,8,3,2,5,4] => 0001101 => [3,2,1,1] => 256
[1,3,2,7,8,4,6,5] => 0100101 => [1,1,2,1,1,1] => 984
[6,8,2,3,5,7,4,1] => 0100011 => [1,1,3,2] => 265
[5,7,1,4,6,2,8,3] => 0100101 => [1,1,2,1,1,1] => 984
[6,3,1,4,7,8,2,5] => 1100010 => [2,3,1,1] => 256
[9,8,7,6,5,1,3,4,2] => 11111001 => [5,2,1] => 138
[9,8,7,6,1,4,5,3,2] => 11110011 => [4,2,2] => 306
[8,7,1,5,4,6,3,2] => 1101011 => [2,1,1,1,2] => 603
[9,8,7,1,5,6,4,3,2] => 11100111 => [3,2,3] => 392
[9,8,1,6,7,5,4,3,2] => 11001111 => [2,2,4] => 306
[9,1,7,8,6,5,4,3,2] => 10011111 => [1,2,5] => 138
[4,5,7,1,8,6,2,3] => 0010110 => [2,1,1,2,1] => 603
[4,3,8,6,5,2,7,1] => 1011101 => [1,1,3,1,1] => 439
[2,3,8,6,5,1,7,4] => 0011101 => [2,3,1,1] => 256
[5,4,7,3,1,2,6,8] => 1011000 => [1,1,2,3] => 265
[7,6,2,1,5,4,3,8] => 1110110 => [3,1,2,1] => 259
[3,1,2,6,5,7,8,4] => 1001001 => [1,2,1,2,1] => 603
[7,3,2,6,1,4,8,5] => 1101001 => [2,1,1,2,1] => 603
[3,2,5,6,8,4,1,7] => 1000110 => [1,3,2,1] => 259
[7,2,6,8,5,4,3,1] => 1001111 => [1,2,4] => 85
[3,7,5,6,2,4,1,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,2,4,1,6,5,8,7,9] => 10101010 => [1,1,1,1,1,1,1,1] => 10176
[4,2,5,1,6,3,8,7,9] => 10101010 => [1,1,1,1,1,1,1,1] => 10176
[4,2,6,1,7,3,8,5,9] => 10101010 => [1,1,1,1,1,1,1,1] => 10176
[4,2,6,1,8,3,9,5,7] => 10101010 => [1,1,1,1,1,1,1,1] => 10176
[4,2,6,1,7,3,5,9,8] => 10101001 => [1,1,1,1,1,2,1] => 6344
[4,2,5,1,3,7,6,9,8] => 10100101 => [1,1,1,2,1,1,1] => 6148
[3,2,5,4,6,1,8,7,9] => 10101010 => [1,1,1,1,1,1,1,1] => 10176
[4,2,5,1,7,6,8,3,9] => 10101010 => [1,1,1,1,1,1,1,1] => 10176
[4,2,6,1,7,3,9,8,5] => 10101011 => [1,1,1,1,1,1,2] => 6344
[4,2,5,1,3,6,8,7] => 1010001 => [1,1,1,3,1] => 450
[4,2,6,1,7,3,5,8,9] => 10101000 => [1,1,1,1,1,3] => 2790
[4,2,5,1,3,8,9,6,7] => 10100010 => [1,1,1,3,1,1] => 2732
[3,2,1,6,7,4,5,9,8] => 11001001 => [2,2,1,2,1] => 2162
[1,4,5,2,3,7,6,9,8] => 00100101 => [2,1,2,1,1,1] => 3588
[5,3,4,2,7,1,8,6] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,6,8,2,1,3,4,7] => 0011000 => [2,2,3] => 153
[6,5,2,1,3,8,4,7] => 1110010 => [3,2,1,1] => 256
[2,4,3,5,6,8,1,7] => 0100010 => [1,1,3,1,1] => 439
[6,3,2,4,8,5,1,7] => 1100110 => [2,2,2,1] => 357
[6,3,1,2,7,8,4,5] => 1100010 => [2,3,1,1] => 256
[8,4,7,1,2,5,3,6] => 1010010 => [1,1,1,2,1,1] => 1006
[7,4,6,1,8,5,2,3] => 1010110 => [1,1,1,1,2,1] => 1023
[8,5,6,7,2,1,4,3] => 1001101 => [1,2,2,1,1] => 594
[2,5,6,3,8,4,7,1] => 0010101 => [2,1,1,1,1,1] => 969
[6,8,4,2,3,1,7,5] => 0110101 => [1,2,1,1,1,1] => 969
[1,7,6,2,8,3,5,4] => 0110101 => [1,2,1,1,1,1] => 969
[7,1,5,6,3,2,8,4] => 1001101 => [1,2,2,1,1] => 594
[4,1,3,8,5,2,7,6] => 1001101 => [1,2,2,1,1] => 594
[1,8,5,4,7,2,3,6] => 0110100 => [1,2,1,1,2] => 603
[8,2,5,6,4,3,1,7] => 1001110 => [1,2,3,1] => 262
[2,4,3,8,6,5,1,7] => 0101110 => [1,1,1,3,1] => 450
[3,1,4,5,8,6,2,7] => 1000110 => [1,3,2,1] => 259
[1,8,3,2,5,4,6,7] => 0110100 => [1,2,1,1,2] => 603
[5,1,7,3,2,8,4,6] => 1011010 => [1,1,2,1,1,1] => 984
[5,7,8,1,3,2,4,6] => 0010100 => [2,1,1,1,2] => 603
[8,2,4,1,6,7,3,5] => 1010010 => [1,1,1,2,1,1] => 1006
[8,7,3,6,2,4,1,5] => 1101010 => [2,1,1,1,1,1] => 969
[1,7,4,8,3,6,2,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[7,8,6,1,3,5,4,2] => 0110011 => [1,2,2,2] => 363
[1,7,5,8,4,3,2,6] => 0101110 => [1,1,1,3,1] => 450
[6,3,1,2,7,8,5,4] => 1100011 => [2,3,2] => 153
[8,2,7,5,3,4,1,6] => 1011010 => [1,1,2,1,1,1] => 984
[6,3,1,2,8,7,5,4] => 1100111 => [2,2,3] => 153
[8,4,7,2,6,3,1,5] => 1010110 => [1,1,1,1,2,1] => 1023
[7,6,3,4,2,1,8,5] => 1101101 => [2,1,2,1,1] => 594
[8,4,6,2,3,7,1,5] => 1010010 => [1,1,1,2,1,1] => 1006
[3,4,5,8,1,7,2,6] => 0001010 => [3,1,1,1,1] => 427
[6,3,4,2,7,8,1,5] => 1010010 => [1,1,1,2,1,1] => 1006
[5,6,3,7,8,2,1,4] => 0100110 => [1,1,2,2,1] => 611
[8,6,3,4,7,2,1,5] => 1100110 => [2,2,2,1] => 357
[4,3,8,6,7,5,1,2] => 1010110 => [1,1,1,1,2,1] => 1023
[4,5,6,2,7,8,3,1] => 0010011 => [2,1,2,2] => 363
[4,5,6,2,7,1,8,3] => 0010101 => [2,1,1,1,1,1] => 969
[4,5,6,2,1,7,8,3] => 0011001 => [2,2,2,1] => 357
[4,5,6,2,1,7,3,8] => 0011010 => [2,2,1,1,1] => 582
[6,8,7,2,3,1,4,5] => 0110100 => [1,2,1,1,2] => 603
[4,5,1,6,7,3,2,8] => 0100110 => [1,1,2,2,1] => 611
[2,5,1,8,3,7,4,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,7,2,1,3,8,4,6] => 0110010 => [1,2,2,1,1] => 594
[3,7,5,4,1,6,8,2] => 0111001 => [1,3,2,1] => 259
[7,1,5,4,2,6,3,8] => 1011010 => [1,1,2,1,1,1] => 984
[8,5,6,3,7,2,1,4] => 1010110 => [1,1,1,1,2,1] => 1023
[7,6,5,4,3,1,2,9,8] => 11111001 => [5,2,1] => 138
[7,6,5,4,2,1,3,9,8] => 11111001 => [5,2,1] => 138
[7,6,5,4,1,3,2,9,8] => 11110101 => [4,1,1,1,1] => 888
[9,8,7,6,5,3,2,4,1] => 11111101 => [6,1,1] => 50
[9,8,7,6,5,2,4,3,1] => 11111011 => [5,1,2] => 138
[2,7,4,5,6,8,1,3] => 0100010 => [1,1,3,1,1] => 439
[2,3,4,6,8,1,7,5] => 0000101 => [4,1,1,1] => 145
[2,3,4,8,6,7,9,5,1] => 00010011 => [3,1,2,2] => 936
[2,3,8,5,6,7,9,1,4] => 00100010 => [2,1,3,1,1] => 1580
[2,8,4,5,6,7,9,3,1] => 01000011 => [1,1,4,2] => 538
[8,3,4,5,6,7,9,2,1] => 10000011 => [1,5,2] => 138
[2,3,4,5,7,9,1,8,6] => 00000101 => [5,1,1,1] => 240
[2,3,4,6,7,1,9,5,8] => 00001010 => [4,1,1,1,1] => 888
[2,3,5,8,1,6,7,4] => 0001001 => [3,1,2,1] => 259
[2,3,5,6,1,7,9,4,8] => 00010010 => [3,1,2,1,1] => 1560
[2,4,5,1,6,7,9,8,3] => 00100011 => [2,1,3,2] => 946
[2,4,7,5,6,8,1,3] => 0010010 => [2,1,2,1,1] => 594
[3,4,1,5,6,7,9,2,8] => 01000010 => [1,1,4,1,1] => 912
[3,2,4,5,6,7,9,1,8] => 10000010 => [1,5,1,1] => 240
[2,3,4,7,6,9,8,5,1] => 00010111 => [3,1,1,3] => 676
[2,3,4,6,9,1,7,8,5] => 00001001 => [4,1,2,1] => 526
[7,3,4,6,2,8,1,5] => 1001010 => [1,2,1,1,1,1] => 969
[2,5,4,6,8,7,9,1,3] => 01001010 => [1,1,2,1,1,1,1] => 6040
[2,3,5,7,1,6,9,4,8] => 00010010 => [3,1,2,1,1] => 1560
[4,7,6,5,2,8,3,1] => 0111011 => [1,3,1,2] => 259
[4,3,5,8,6,7,9,2,1] => 10010011 => [1,2,1,2,2] => 2226
[2,5,4,8,6,7,3,1] => 0101011 => [1,1,1,1,1,2] => 1023
[2,4,6,1,5,7,9,3,8] => 00100010 => [2,1,3,1,1] => 1580
[7,5,4,1,6,8,2,3] => 1110010 => [3,2,1,1] => 256
[2,4,8,5,6,7,9,1,3] => 00100010 => [2,1,3,1,1] => 1580
[3,5,1,4,6,7,9,8,2] => 01000011 => [1,1,4,2] => 538
[4,2,3,5,6,7,9,1,8] => 10000010 => [1,5,1,1] => 240
[8,5,2,1,7,6,3,4] => 1110110 => [3,1,2,1] => 259
[2,7,3,6,4,1,8,5] => 0101101 => [1,1,1,2,1,1] => 1006
[7,2,1,8,5,6,4,3] => 1101011 => [2,1,1,1,2] => 603
[3,6,5,1,4,8,2,7] => 0110010 => [1,2,2,1,1] => 594
[6,3,5,4,8,1,2,7] => 1010100 => [1,1,1,1,1,2] => 1023
[2,5,1,4,6,3,8,7] => 0100101 => [1,1,2,1,1,1] => 984
[3,1,5,6,4,2,8,7] => 1001101 => [1,2,2,1,1] => 594
[8,5,6,4,3,1,7,2] => 1011101 => [1,1,3,1,1] => 439
[8,3,5,6,7,1,2,4] => 1000100 => [1,3,1,2] => 259
[2,1,4,7,3,6,8,5] => 1001001 => [1,2,1,2,1] => 603
[5,3,7,6,4,8,2,1] => 1011011 => [1,1,2,1,2] => 611
[3,7,6,4,2,8,1,5] => 0111010 => [1,3,1,1,1] => 427
[8,6,1,4,3,7,2,5] => 1101010 => [2,1,1,1,1,1] => 969
[8,4,7,5,1,6,3,2] => 1011011 => [1,1,2,1,2] => 611
[2,1,5,3,7,8,6,4] => 1010011 => [1,1,1,2,2] => 622
[5,1,4,7,6,8,2,3] => 1001010 => [1,2,1,1,1,1] => 969
[8,4,1,3,7,6,5,2] => 1100111 => [2,2,3] => 153
[8,3,4,1,6,7,5,2] => 1010011 => [1,1,1,2,2] => 622
[8,1,4,2,6,5,7,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,6,4,3,7,2,1,5] => 1110110 => [3,1,2,1] => 259
[5,8,1,4,3,2,6,7] => 0101100 => [1,1,1,2,2] => 622
[5,6,4,3,8,2,7,1] => 0110101 => [1,2,1,1,1,1] => 969
[1,6,4,3,8,2,7,5] => 0110101 => [1,2,1,1,1,1] => 969
[6,7,4,1,3,2,5,8] => 0110100 => [1,2,1,1,2] => 603
[7,8,1,4,3,2,5,6] => 0101100 => [1,1,1,2,2] => 622
[7,1,8,4,5,3,6,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,3,1,8,6,5,7,2] => 1101101 => [2,1,2,1,1] => 594
[4,3,2,7,5,1,8,6] => 1101101 => [2,1,2,1,1] => 594
[5,2,3,7,4,1,8,6] => 1001101 => [1,2,2,1,1] => 594
[2,1,7,4,3,6,8,5] => 1011001 => [1,1,2,2,1] => 611
[7,1,2,4,5,6,8,3] => 1000001 => [1,5,1] => 37
[2,8,7,1,4,5,6,3] => 0110001 => [1,2,3,1] => 262
[8,7,1,3,4,5,6,2] => 1100001 => [2,4,1] => 85
[5,8,3,1,4,6,7,2] => 0110001 => [1,2,3,1] => 262
[1,7,2,5,4,6,8,3] => 0101001 => [1,1,1,1,2,1] => 1023
[2,5,3,8,1,6,7,4] => 0101001 => [1,1,1,1,2,1] => 1023
[1,6,4,2,5,7,8,3] => 0110001 => [1,2,3,1] => 262
[6,5,3,4,1,7,8,2] => 1101001 => [2,1,1,2,1] => 603
[5,6,3,4,1,7,8,2] => 0101001 => [1,1,1,1,2,1] => 1023
[2,5,3,1,4,7,8,6] => 0110001 => [1,2,3,1] => 262
[6,8,2,3,1,5,7,4] => 0101001 => [1,1,1,1,2,1] => 1023
[4,3,1,5,2,7,8,6] => 1101001 => [2,1,1,2,1] => 603
[5,2,3,1,4,7,8,6] => 1010001 => [1,1,1,3,1] => 450
[7,2,1,3,5,6,8,4] => 1100001 => [2,4,1] => 85
[5,2,4,7,8,6,3,1] => 1000111 => [1,3,3] => 110
[5,4,8,7,2,3,1,6] => 1011010 => [1,1,2,1,1,1] => 984
[8,1,4,5,3,6,2,7] => 1001010 => [1,2,1,1,1,1] => 969
[8,3,5,1,4,6,2,7] => 1010010 => [1,1,1,2,1,1] => 1006
[5,8,2,1,7,4,3,6] => 0110110 => [1,2,1,2,1] => 603
[6,5,7,2,1,8,4,3] => 1011011 => [1,1,2,1,2] => 611
[1,5,4,7,3,8,6,2] => 0101011 => [1,1,1,1,1,2] => 1023
[7,4,1,3,8,5,6,2] => 1100101 => [2,2,1,1,1] => 582
[3,6,8,4,1,7,2,5] => 0011010 => [2,2,1,1,1] => 582
[2,1,8,4,7,6,3,5] => 1010110 => [1,1,1,1,2,1] => 1023
[2,7,5,6,8,4,3,1] => 0100111 => [1,1,2,3] => 265
[3,5,2,4,7,8,6,1] => 0100011 => [1,1,3,2] => 265
[7,5,6,3,8,2,1,4] => 1010110 => [1,1,1,1,2,1] => 1023
[1,6,2,7,4,5,8,3] => 0101001 => [1,1,1,1,2,1] => 1023
[7,4,2,6,1,5,8,3] => 1101001 => [2,1,1,2,1] => 603
[8,4,1,6,2,5,7,3] => 1101001 => [2,1,1,2,1] => 603
[7,3,4,5,1,6,8,2] => 1001001 => [1,2,1,2,1] => 603
[1,4,2,6,3,7,5,9,8] => 01010101 => [1,1,1,1,1,1,1,1] => 10176
[1,3,2,6,4,7,5,9,8] => 01010101 => [1,1,1,1,1,1,1,1] => 10176
[2,1,6,3,7,4,8,5,9] => 10101010 => [1,1,1,1,1,1,1,1] => 10176
[8,4,2,7,6,1,5,3] => 1101101 => [2,1,2,1,1] => 594
[8,4,7,1,2,6,5,3] => 1010011 => [1,1,1,2,2] => 622
[8,4,7,6,1,2,5,3] => 1011001 => [1,1,2,2,1] => 611
[8,7,6,2,1,5,3,4] => 1111010 => [4,1,1,1] => 145
[5,7,8,1,6,2,4,3] => 0010101 => [2,1,1,1,1,1] => 969
[7,9,6,8,4,5,2,3,1] => 01010101 => [1,1,1,1,1,1,1,1] => 10176
[7,9,5,8,4,6,2,3,1] => 01010101 => [1,1,1,1,1,1,1,1] => 10176
[7,9,5,8,3,6,2,4,1] => 01010101 => [1,1,1,1,1,1,1,1] => 10176
[6,8,4,7,5,2,1,3] => 0101110 => [1,1,1,3,1] => 450
[7,9,5,8,3,6,4,1,2] => 01010110 => [1,1,1,1,1,2,1] => 6344
[7,9,5,8,6,3,4,1,2] => 01011010 => [1,1,1,2,1,1,1] => 6148
[7,9,8,5,6,3,4,1,2] => 01101010 => [1,2,1,1,1,1,1] => 5976
[6,9,5,8,4,7,2,3,1] => 01010101 => [1,1,1,1,1,1,1,1] => 10176
[7,9,4,8,3,6,2,5,1] => 01010101 => [1,1,1,1,1,1,1,1] => 10176
[7,9,5,8,2,6,1,4,3] => 01010101 => [1,1,1,1,1,1,1,1] => 10176
[6,8,2,7,1,5,4,3] => 0101011 => [1,1,1,1,1,2] => 1023
[7,9,5,8,3,6,4,2,1] => 01010111 => [1,1,1,1,1,3] => 2790
[6,8,7,4,2,5,1,3] => 0111010 => [1,3,1,1,1] => 427
[7,9,5,8,6,3,1,4,2] => 01011101 => [1,1,1,3,1,1] => 2732
[7,9,8,5,3,6,4,1,2] => 01110110 => [1,3,1,2,1] => 1576
[9,7,5,8,6,3,4,1,2] => 11011010 => [2,1,2,1,1,1] => 3588
[6,8,4,5,7,2,1,3] => 0100110 => [1,1,2,2,1] => 611
[6,8,4,2,5,1,3,7] => 0110100 => [1,2,1,1,2] => 603
[6,5,4,3,2,7,1,8,9] => 11110100 => [4,1,1,2] => 526
[5,4,3,2,6,1,7,8,9] => 11101000 => [3,1,1,3] => 676
[4,3,2,5,1,6,7,8,9] => 11010000 => [2,1,1,4] => 534
[3,2,4,1,5,6,7,8,9] => 10100000 => [1,1,1,5] => 244
[2,5,3,7,6,4,8,1] => 0101101 => [1,1,1,2,1,1] => 1006
[3,1,5,7,6,4,2,8] => 1001110 => [1,2,3,1] => 262
[3,1,6,5,4,7,2,8] => 1011010 => [1,1,2,1,1,1] => 984
[2,5,6,8,3,4,7,1] => 0001001 => [3,1,2,1] => 259
[4,1,3,6,5,2,7,8] => 1001100 => [1,2,2,2] => 363
[3,6,2,4,5,7,1,8] => 0100010 => [1,1,3,1,1] => 439
[3,6,2,5,4,7,1,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,5,1,7,6,4,2,8] => 0101110 => [1,1,1,3,1] => 450
[3,6,1,4,5,7,2,8] => 0100010 => [1,1,3,1,1] => 439
[4,3,1,6,5,2,7,8] => 1101100 => [2,1,2,2] => 363
[4,1,2,6,5,3,7,8] => 1001100 => [1,2,2,2] => 363
[4,6,1,3,5,2,7,8] => 0100100 => [1,1,2,1,2] => 611
[3,6,4,2,5,7,1,8] => 0110010 => [1,2,2,1,1] => 594
[4,2,6,3,5,1,7,8] => 1010100 => [1,1,1,1,1,2] => 1023
[3,4,7,6,5,1,2,8] => 0011100 => [2,3,2] => 153
[4,5,2,7,1,3,6,8] => 0101000 => [1,1,1,1,3] => 450
[4,6,1,2,5,3,7,8] => 0100100 => [1,1,2,1,2] => 611
[2,6,5,1,4,8,7,3] => 0110011 => [1,2,2,2] => 363
[5,8,4,7,1,3,6,2] => 0101001 => [1,1,1,1,2,1] => 1023
[6,4,7,1,3,5,2,8] => 1010010 => [1,1,1,2,1,1] => 1006
[6,8,1,3,5,7,4,2] => 0100011 => [1,1,3,2] => 265
[5,8,3,2,7,4,6,1] => 0110101 => [1,2,1,1,1,1] => 969
[6,8,3,1,5,4,7,2] => 0110101 => [1,2,1,1,1,1] => 969
[6,8,1,2,5,3,7,4] => 0100101 => [1,1,2,1,1,1] => 984
[5,2,8,3,4,6,7,1] => 1010001 => [1,1,1,3,1] => 450
[5,2,7,1,6,4,8,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,5,2,6,1,3,7,8] => 0101000 => [1,1,1,1,3] => 450
[4,3,5,8,6,1,7,2] => 1001101 => [1,2,2,1,1] => 594
[5,1,3,6,7,4,2,8] => 1000110 => [1,3,2,1] => 259
[4,2,8,3,6,7,5,1] => 1010011 => [1,1,1,2,2] => 622
[3,1,7,8,5,6,2,4] => 1001010 => [1,2,1,1,1,1] => 969
[6,2,1,7,5,3,4,8] => 1101100 => [2,1,2,2] => 363
[3,7,1,8,5,2,4,6] => 0101100 => [1,1,1,2,2] => 622
[4,2,8,6,7,1,3,5] => 1010100 => [1,1,1,1,1,2] => 1023
[6,1,2,4,7,3,5,8] => 1000100 => [1,3,1,2] => 259
[5,3,1,6,4,7,2,8] => 1101010 => [2,1,1,1,1,1] => 969
[1,2,4,5,8,7,3,6] => 0000110 => [4,2,1] => 85
[1,3,4,7,5,8,6,2] => 0001011 => [3,1,1,2] => 259
[1,5,2,3,7,8,6,4] => 0100011 => [1,1,3,2] => 265
[4,2,8,1,6,5,7,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[1,3,5,2,7,4,6,9,8] => 00101001 => [2,1,1,1,2,1] => 3696
[1,2,4,3,6,5,8,7,9] => 00101010 => [2,1,1,1,1,1,1] => 5976
[1,3,5,7,2,4,6,9,8] => 00010001 => [3,1,3,1] => 676
[1,3,5,7,2,9,4,6,8] => 00010100 => [3,1,1,1,2] => 1576
[5,6,1,4,8,3,2,7] => 0100110 => [1,1,2,2,1] => 611
[3,6,4,1,7,2,8,5] => 0110101 => [1,2,1,1,1,1] => 969
[5,6,2,1,3,7,4,8,9] => 01100100 => [1,2,2,1,2] => 2194
[3,2,5,1,6,4,7,8,9] => 10101000 => [1,1,1,1,1,3] => 2790
[6,7,2,1,8,3,4,9,5] => 01101001 => [1,2,1,1,2,1] => 3696
[3,6,4,1,7,2,8,5,9] => 01101010 => [1,2,1,1,1,1,1] => 5976
[3,6,7,2,1,4,8,5,9] => 00110010 => [2,2,2,1,1] => 2138
[4,2,6,1,7,5,3,8,9] => 10101100 => [1,1,1,1,2,2] => 3848
[4,3,2,6,1,7,5,8,9] => 11010100 => [2,1,1,1,1,2] => 3696
[4,7,2,5,1,8,3,9,6] => 01010101 => [1,1,1,1,1,1,1,1] => 10176
[4,3,7,8,2,1,5,9,6] => 10011001 => [1,2,2,2,1] => 2194
[3,5,2,7,1,8,6,4,9] => 01010110 => [1,1,1,1,1,2,1] => 6344
[5,4,3,2,7,1,8,6,9] => 11101010 => [3,1,1,1,1,1] => 2592
[6,4,2,8,1,9,7,5,3] => 11010111 => [2,1,1,1,3] => 1612
[4,3,6,2,8,1,9,7,5] => 10101011 => [1,1,1,1,1,1,2] => 6344
[6,5,4,3,2,8,1,9,7] => 11110101 => [4,1,1,1,1] => 888
[5,2,6,3,7,8,4,1] => 1010011 => [1,1,1,2,2] => 622
[2,4,1,3,7,8,6,5] => 0100011 => [1,1,3,2] => 265
[2,6,1,5,7,8,4,3] => 0100011 => [1,1,3,2] => 265
[5,1,6,4,7,8,2,3] => 1010010 => [1,1,1,2,1,1] => 1006
[8,4,6,3,7,5,1,2] => 1010110 => [1,1,1,1,2,1] => 1023
[4,7,6,8,2,3,5,1] => 0101001 => [1,1,1,1,2,1] => 1023
[5,7,4,8,1,2,6,3] => 0101001 => [1,1,1,1,2,1] => 1023
[3,6,7,5,8,1,4,2] => 0010101 => [2,1,1,1,1,1] => 969
[3,7,5,6,8,2,4,1] => 0100101 => [1,1,2,1,1,1] => 984
[2,7,1,6,8,4,5,3] => 0100101 => [1,1,2,1,1,1] => 984
[1,5,4,7,2,6,3,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,4,5,8,3,1,7,6] => 0001101 => [3,2,1,1] => 256
[1,4,7,5,8,3,6,2] => 0010101 => [2,1,1,1,1,1] => 969
[2,6,8,7,3,5,1,4] => 0011010 => [2,2,1,1,1] => 582
[4,7,8,6,2,5,1,3] => 0011010 => [2,2,1,1,1] => 582
[4,8,7,3,5,6,2,1] => 0110011 => [1,2,2,2] => 363
[1,7,6,3,5,4,2,8] => 0110110 => [1,2,1,2,1] => 603
[4,3,8,1,6,5,7,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[1,3,6,2,5,8,7,4] => 0010011 => [2,1,2,2] => 363
[5,8,7,1,4,6,3,2] => 0110011 => [1,2,2,2] => 363
[6,2,5,1,3,4,8,7] => 1010001 => [1,1,1,3,1] => 450
[2,6,5,1,3,4,8,7] => 0110001 => [1,2,3,1] => 262
[4,6,5,1,2,7,3,8] => 0110010 => [1,2,2,1,1] => 594
[5,6,4,1,2,7,3,8] => 0110010 => [1,2,2,1,1] => 594
[8,1,5,6,2,4,3,7] => 1001010 => [1,2,1,1,1,1] => 969
[6,4,5,1,2,7,3,8] => 1010010 => [1,1,1,2,1,1] => 1006
[5,4,6,1,3,2,7,8] => 1010100 => [1,1,1,1,1,2] => 1023
[5,7,1,4,3,2,6,8] => 0101100 => [1,1,1,2,2] => 622
[2,6,4,1,3,7,5,8] => 0110010 => [1,2,2,1,1] => 594
[7,8,5,3,2,1,6,4] => 0111101 => [1,4,1,1] => 145
[1,2,6,7,8,4,5,3] => 0000101 => [4,1,1,1] => 145
[6,1,4,8,2,7,5,3] => 1001011 => [1,2,1,1,2] => 603
[5,2,3,7,1,8,4,6] => 1001010 => [1,2,1,1,1,1] => 969
[7,2,3,1,8,4,6,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,4,1,7,3,2,8,6] => 1101101 => [2,1,2,1,1] => 594
[7,3,4,5,1,8,6,2] => 1001011 => [1,2,1,1,2] => 603
[1,5,6,7,4,8,2,3] => 0001010 => [3,1,1,1,1] => 427
[6,3,2,5,7,4,8,1] => 1100101 => [2,2,1,1,1] => 582
[5,7,3,8,1,2,4,6] => 0101000 => [1,1,1,1,3] => 450
[4,5,2,7,6,3,1,8] => 0101110 => [1,1,1,3,1] => 450
[4,5,2,1,7,6,3,8] => 0110110 => [1,2,1,2,1] => 603
[2,6,7,8,3,1,4,5] => 0001100 => [3,2,2] => 153
[6,3,2,5,1,7,8,4] => 1101001 => [2,1,1,2,1] => 603
[4,6,3,7,8,2,1,5] => 0100110 => [1,1,2,2,1] => 611
[5,6,7,1,8,4,2,3] => 0010110 => [2,1,1,2,1] => 603
[1,7,8,4,6,5,2,3] => 0010110 => [2,1,1,2,1] => 603
[1,7,3,2,8,6,5,4] => 0110111 => [1,2,1,3] => 262
[3,7,1,2,8,6,5,4] => 0100111 => [1,1,2,3] => 265
[2,7,8,1,6,5,3,4] => 0010110 => [2,1,1,2,1] => 603
[2,5,8,1,7,6,3,4] => 0010110 => [2,1,1,2,1] => 603
[8,1,5,7,3,4,6,2] => 1001001 => [1,2,1,2,1] => 603
[5,8,2,7,6,3,1,4] => 0101110 => [1,1,1,3,1] => 450
[2,8,4,7,6,3,1,5] => 0101110 => [1,1,1,3,1] => 450
[1,8,2,4,7,6,3,5] => 0100110 => [1,1,2,2,1] => 611
[4,5,8,7,1,6,2,3] => 0011010 => [2,2,1,1,1] => 582
[1,8,2,4,6,7,5,3] => 0100011 => [1,1,3,2] => 265
[3,4,2,8,1,7,6,5] => 0101011 => [1,1,1,1,1,2] => 1023
[2,4,5,8,1,7,6,3] => 0001011 => [3,1,1,2] => 259
[3,1,8,2,6,7,5,4] => 1010011 => [1,1,1,2,2] => 622
[2,6,8,1,4,3,7,5] => 0010101 => [2,1,1,1,1,1] => 969
[4,1,8,2,6,7,3,5] => 1010010 => [1,1,1,2,1,1] => 1006
[1,6,5,2,8,7,3,4] => 0110110 => [1,2,1,2,1] => 603
[8,1,7,3,5,2,4,6] => 1010100 => [1,1,1,1,1,2] => 1023
[8,1,3,2,7,6,4,5] => 1010110 => [1,1,1,1,2,1] => 1023
[7,3,4,8,6,2,5,1] => 1001101 => [1,2,2,1,1] => 594
[7,5,8,1,6,2,3,4] => 1010100 => [1,1,1,1,1,2] => 1023
[6,8,4,5,3,1,7,2] => 0101101 => [1,1,1,2,1,1] => 1006
[6,7,5,3,2,8,4,1] => 0111011 => [1,3,1,2] => 259
[6,2,5,3,8,1,4,7] => 1010100 => [1,1,1,1,1,2] => 1023
[7,6,1,3,5,2,4,8] => 1100100 => [2,2,1,2] => 357
[6,2,4,5,3,8,1,7] => 1001010 => [1,2,1,1,1,1] => 969
[6,1,5,4,7,2,3,8] => 1010100 => [1,1,1,1,1,2] => 1023
[6,8,5,4,7,1,3,2] => 0110101 => [1,2,1,1,1,1] => 969
[1,6,8,4,2,5,7,3] => 0011001 => [2,2,2,1] => 357
[7,5,8,1,3,4,2,6] => 1010010 => [1,1,1,2,1,1] => 1006
[1,4,2,8,3,5,7,6] => 0101001 => [1,1,1,1,2,1] => 1023
[1,3,5,4,8,7,2,6] => 0010110 => [2,1,1,2,1] => 603
[1,6,2,4,8,3,7,5] => 0100101 => [1,1,2,1,1,1] => 984
[1,7,8,5,4,2,6,3] => 0011101 => [2,3,1,1] => 256
[1,5,2,8,6,4,7,3] => 0101101 => [1,1,1,2,1,1] => 1006
[1,6,5,2,7,4,8,3] => 0110101 => [1,2,1,1,1,1] => 969
[5,1,6,7,4,2,8,3] => 1001101 => [1,2,2,1,1] => 594
[6,8,1,5,2,3,7,4] => 0101001 => [1,1,1,1,2,1] => 1023
[1,5,4,2,8,6,7,3] => 0110101 => [1,2,1,1,1,1] => 969
[1,8,5,4,6,2,7,3] => 0110101 => [1,2,1,1,1,1] => 969
[1,7,5,4,6,2,8,3] => 0110101 => [1,2,1,1,1,1] => 969
[5,8,4,1,6,2,7,3] => 0110101 => [1,2,1,1,1,1] => 969
[4,8,1,3,7,6,2,5] => 0100110 => [1,1,2,2,1] => 611
[4,5,3,1,2,8,7,6] => 0110011 => [1,2,2,2] => 363
[6,4,2,3,1,8,7,5] => 1101011 => [2,1,1,1,2] => 603
[6,5,2,1,3,8,7,4] => 1110011 => [3,2,2] => 153
[7,6,1,8,2,5,3,4] => 1101010 => [2,1,1,1,1,1] => 969
[8,4,2,3,7,6,1,5] => 1100110 => [2,2,2,1] => 357
[5,7,8,1,2,4,3,6] => 0010010 => [2,1,2,1,1] => 594
[1,7,6,8,3,5,4,2] => 0101011 => [1,1,1,1,1,2] => 1023
[5,7,6,4,2,1,3,8] => 0111100 => [1,4,2] => 85
[6,5,7,4,1,3,2,8] => 1011010 => [1,1,2,1,1,1] => 984
[4,6,1,8,3,5,2,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[7,1,6,8,2,5,4,3] => 1001011 => [1,2,1,1,2] => 603
[4,7,1,8,3,2,5,6] => 0101100 => [1,1,1,2,2] => 622
[4,8,3,6,1,5,2,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,7,8,6,4,5,3,2] => 0011011 => [2,2,1,2] => 357
[3,2,8,6,4,5,1,7] => 1011010 => [1,1,2,1,1,1] => 984
[8,4,3,6,2,5,1,7] => 1101010 => [2,1,1,1,1,1] => 969
[1,6,8,7,4,3,5,2] => 0011101 => [2,3,1,1] => 256
[3,1,2,6,8,7,5,4] => 1000111 => [1,3,3] => 110
[5,7,4,2,1,8,6,3] => 0111011 => [1,3,1,2] => 259
[8,6,5,7,2,4,3,1] => 1101011 => [2,1,1,1,2] => 603
[7,4,6,1,8,5,3,2] => 1010111 => [1,1,1,1,3] => 450
[7,4,6,3,8,1,5,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,4,8,1,6,3,2,5] => 1010110 => [1,1,1,1,2,1] => 1023
[7,4,8,3,6,2,1,5] => 1010110 => [1,1,1,1,2,1] => 1023
[6,4,8,2,3,5,7,1] => 1010001 => [1,1,1,3,1] => 450
[4,6,8,2,5,7,1,3] => 0010010 => [2,1,2,1,1] => 594
[6,4,8,2,5,7,1,3] => 1010010 => [1,1,1,2,1,1] => 1006
[6,2,4,5,8,3,7,1] => 1000101 => [1,3,1,1,1] => 427
[6,8,2,4,7,3,5,1] => 0100101 => [1,1,2,1,1,1] => 984
[8,4,6,2,7,1,3,5] => 1010100 => [1,1,1,1,1,2] => 1023
[6,8,4,2,7,1,3,5] => 0110100 => [1,2,1,1,2] => 603
[6,8,2,4,1,7,3,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[7,5,1,6,2,4,8,3] => 1101001 => [2,1,1,2,1] => 603
[4,2,5,7,1,6,8,3] => 1001001 => [1,2,1,2,1] => 603
[2,4,8,5,6,7,3,1] => 0010011 => [2,1,2,2] => 363
[4,5,2,3,8,7,1,6] => 0100110 => [1,1,2,2,1] => 611
[2,5,4,7,6,1,3,8] => 0101100 => [1,1,1,2,2] => 622
[5,2,3,7,6,1,4,8] => 1001100 => [1,2,2,2] => 363
[4,2,3,7,6,1,5,8] => 1001100 => [1,2,2,2] => 363
[4,2,7,3,5,1,6,8] => 1010100 => [1,1,1,1,1,2] => 1023
[5,6,2,3,8,4,7,1] => 0100101 => [1,1,2,1,1,1] => 984
[5,6,2,3,1,7,8,4] => 0101001 => [1,1,1,1,2,1] => 1023
[5,7,2,3,4,1,6,8] => 0100100 => [1,1,2,1,2] => 611
[6,2,7,3,5,1,4,8] => 1010100 => [1,1,1,1,1,2] => 1023
[7,2,6,3,5,1,4,8] => 1010100 => [1,1,1,1,1,2] => 1023
[6,5,2,3,1,7,8,4] => 1101001 => [2,1,1,2,1] => 603
[6,5,2,3,8,4,7,1] => 1100101 => [2,2,1,1,1] => 582
[7,5,2,1,4,6,8,3] => 1110001 => [3,3,1] => 110
[8,5,2,3,1,6,4,7] => 1101010 => [2,1,1,1,1,1] => 969
[8,6,2,3,1,5,4,7] => 1101010 => [2,1,1,1,1,1] => 969
[8,2,6,3,1,7,4,5] => 1011010 => [1,1,2,1,1,1] => 984
[1,6,3,4,2,7,5,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[8,5,2,7,3,4,6,1] => 1101001 => [2,1,1,2,1] => 603
[1,7,2,4,5,6,8,3] => 0100001 => [1,1,4,1] => 148
[1,8,3,2,5,6,4,7] => 0110010 => [1,2,2,1,1] => 594
[7,2,8,1,4,6,3,5] => 1010010 => [1,1,1,2,1,1] => 1006
[2,7,8,1,5,6,3,4] => 0010010 => [2,1,2,1,1] => 594
[6,8,2,3,1,5,4,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,8,2,3,1,6,4,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,7,2,1,4,6,8,3] => 0110001 => [1,2,3,1] => 262
[4,2,7,1,5,6,8,3] => 1010001 => [1,1,1,3,1] => 450
[4,2,3,8,1,7,5,6] => 1001010 => [1,2,1,1,1,1] => 969
[4,2,1,5,3,7,6,8] => 1101010 => [2,1,1,1,1,1] => 969
[5,1,3,8,4,6,7,2] => 1001001 => [1,2,1,2,1] => 603
[5,1,3,2,6,7,8,4] => 1010001 => [1,1,1,3,1] => 450
[5,1,3,4,2,7,6,8] => 1001010 => [1,2,1,1,1,1] => 969
[6,1,3,4,2,7,5,8] => 1001010 => [1,2,1,1,1,1] => 969
[7,2,1,3,5,8,4,6] => 1100010 => [2,3,1,1] => 256
[6,8,7,2,3,4,5,1] => 0110001 => [1,2,3,1] => 262
[2,8,7,9,6,5,4,3,1] => 01011111 => [1,1,1,5] => 244
[3,7,2,8,1,4,5,6] => 0101000 => [1,1,1,1,3] => 450
[5,2,3,7,4,6,1,8] => 1001010 => [1,2,1,1,1,1] => 969
[2,5,3,7,4,6,1,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,6,7,3,4,5,1,8] => 0010010 => [2,1,2,1,1] => 594
[6,2,7,3,4,5,1,8] => 1010010 => [1,1,1,2,1,1] => 1006
[3,8,4,5,2,1,6,7] => 0101100 => [1,1,1,2,2] => 622
[2,7,6,3,4,5,1,8] => 0110010 => [1,2,2,1,1] => 594
[2,8,7,5,1,3,4,6] => 0111000 => [1,3,3] => 110
[3,1,2,9,4,5,6,7,8] => 10010000 => [1,2,1,4] => 534
[4,1,2,3,9,5,6,7,8] => 10001000 => [1,3,1,3] => 676
[5,1,2,3,4,9,6,7,8] => 10000100 => [1,4,1,2] => 526
[6,1,2,3,4,5,9,7,8] => 10000010 => [1,5,1,1] => 240
[3,4,1,2,9,5,6,7,8] => 01001000 => [1,1,2,1,3] => 1626
[4,5,1,2,3,9,6,7,8] => 01000100 => [1,1,3,1,2] => 1608
[5,6,1,2,3,4,9,7,8] => 01000010 => [1,1,4,1,1] => 912
[6,7,1,2,3,4,5,9,8] => 01000001 => [1,1,5,1] => 244
[4,5,7,2,8,3,6,1] => 0010101 => [2,1,1,1,1,1] => 969
[9,7,5,3,1,8,6,4,2] => 11110111 => [4,1,3] => 220
[9,6,3,8,5,2,7,4,1] => 11011011 => [2,1,2,1,2] => 2194
[8,5,2,9,6,3,7,4,1] => 11011011 => [2,1,2,1,2] => 2194
[9,5,1,6,2,7,3,8,4] => 11010101 => [2,1,1,1,1,1,1] => 5976
[9,5,1,8,4,7,3,6,2] => 11010101 => [2,1,1,1,1,1,1] => 5976
[8,4,7,3,6,2,9,5,1] => 10101011 => [1,1,1,1,1,1,2] => 6344
[7,3,8,4,6,2,9,5,1] => 10101011 => [1,1,1,1,1,1,2] => 6344
[9,4,7,2,5,8,3,6,1] => 10100101 => [1,1,1,2,1,1,1] => 6148
[9,4,6,1,8,3,5,7,2] => 10101001 => [1,1,1,1,1,2,1] => 6344
[8,3,5,7,2,9,4,6,1] => 10010101 => [1,2,1,1,1,1,1] => 5976
[7,2,8,3,9,4,5,6,1] => 10101001 => [1,1,1,1,1,2,1] => 6344
[8,3,7,2,9,4,5,6,1] => 10101001 => [1,1,1,1,1,2,1] => 6344
[5,8,3,7,2,9,4,6,1] => 01010101 => [1,1,1,1,1,1,1,1] => 10176
[4,5,6,9,3,8,2,7,1] => 00010101 => [3,1,1,1,1,1] => 2592
[4,5,6,8,2,9,3,7,1] => 00010101 => [3,1,1,1,1,1] => 2592
[9,3,6,5,4,7,1,8,2] => 10110101 => [1,1,2,1,1,1,1] => 6040
[8,2,9,3,6,5,4,7,1] => 10101101 => [1,1,1,1,2,1,1] => 6264
[6,5,4,8,2,9,3,7,1] => 11010101 => [2,1,1,1,1,1,1] => 5976
[5,6,4,8,2,9,3,7,1] => 01010101 => [1,1,1,1,1,1,1,1] => 10176
[9,2,7,4,5,6,3,8,1] => 10100101 => [1,1,1,2,1,1,1] => 6148
[7,4,5,6,3,9,2,8,1] => 10010101 => [1,2,1,1,1,1,1] => 5976
[5,7,4,6,3,9,2,8,1] => 01010101 => [1,1,1,1,1,1,1,1] => 10176
[5,2,1,3,6,7,8,4] => 1100001 => [2,4,1] => 85
[1,6,5,7,2,8,3,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[7,5,2,6,1,8,4,3] => 1101011 => [2,1,1,1,2] => 603
[6,1,5,2,7,8,4,3] => 1010011 => [1,1,1,2,2] => 622
[1,6,5,7,2,8,4,3] => 0101011 => [1,1,1,1,1,2] => 1023
[1,5,4,6,2,8,7,3] => 0101011 => [1,1,1,1,1,2] => 1023
[1,5,4,6,2,8,3,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,5,6,4,8,2,3,7] => 0010100 => [2,1,1,1,2] => 603
[6,2,1,5,8,4,7,3] => 1100101 => [2,2,1,1,1] => 582
[7,5,6,8,4,1,3,2] => 1001101 => [1,2,2,1,1] => 594
[8,3,7,5,1,4,2,6] => 1011010 => [1,1,2,1,1,1] => 984
[8,1,5,7,3,6,2,4] => 1001010 => [1,2,1,1,1,1] => 969
[8,3,2,6,4,5,1,7] => 1101010 => [2,1,1,1,1,1] => 969
[8,5,3,7,4,1,2,6] => 1101100 => [2,1,2,2] => 363
[8,5,6,2,7,1,3,4] => 1010100 => [1,1,1,1,1,2] => 1023
[8,4,7,2,6,5,1,3] => 1010110 => [1,1,1,1,2,1] => 1023
[8,5,7,3,2,6,1,4] => 1011010 => [1,1,2,1,1,1] => 984
[8,1,2,3,6,4,7,5] => 1000101 => [1,3,1,1,1] => 427
[7,6,2,3,5,8,1,4] => 1100010 => [2,3,1,1] => 256
[4,5,3,7,8,1,6,2] => 0100101 => [1,1,2,1,1,1] => 984
[3,4,2,8,1,6,7,5] => 0101001 => [1,1,1,1,2,1] => 1023
[8,3,4,1,5,7,6,2] => 1010011 => [1,1,1,2,2] => 622
[4,3,7,5,1,6,2,8] => 1011010 => [1,1,2,1,1,1] => 984
[5,2,6,1,4,3,7,8] => 1010100 => [1,1,1,1,1,2] => 1023
[5,3,7,4,2,8,6,1] => 1011011 => [1,1,2,1,2] => 611
[7,2,5,8,6,1,4,3] => 1001101 => [1,2,2,1,1] => 594
[5,3,1,4,6,7,8,2] => 1100001 => [2,4,1] => 85
[4,6,2,1,3,7,8,5] => 0110001 => [1,2,3,1] => 262
[2,5,4,1,3,6,7,8] => 0110000 => [1,2,4] => 85
[6,5,2,7,4,1,3,8] => 1101100 => [2,1,2,2] => 363
[4,2,5,6,7,8,9,1,3] => 10000010 => [1,5,1,1] => 240
[3,1,6,7,8,4,5,2] => 1000101 => [1,3,1,1,1] => 427
[7,4,5,6,2,1,8,3] => 1001101 => [1,2,2,1,1] => 594
[3,7,5,6,2,1,8,4] => 0101101 => [1,1,1,2,1,1] => 1006
[1,7,6,3,8,4,5,2] => 0110101 => [1,2,1,1,1,1] => 969
[6,4,1,2,7,8,3,5] => 1100010 => [2,3,1,1] => 256
[6,4,1,3,5,2,7,8] => 1100100 => [2,2,1,2] => 357
[5,1,8,3,4,6,2,7] => 1010010 => [1,1,1,2,1,1] => 1006
[4,5,8,2,3,7,1,6] => 0010010 => [2,1,2,1,1] => 594
[7,3,4,8,2,5,1,6] => 1001010 => [1,2,1,1,1,1] => 969
[4,7,2,5,1,6,8,3] => 0101001 => [1,1,1,1,2,1] => 1023
[6,3,1,7,4,2,5,8] => 1101100 => [2,1,2,2] => 363
[8,7,2,1,5,3,6,4] => 1110101 => [3,1,1,1,1] => 427
[7,2,8,1,5,6,4,3] => 1010011 => [1,1,1,2,2] => 622
[5,6,4,2,1,8,3,7] => 0111010 => [1,3,1,1,1] => 427
[5,7,3,6,4,1,2,8] => 0101100 => [1,1,1,2,2] => 622
[2,4,3,5,8,1,6,7] => 0100100 => [1,1,2,1,2] => 611
[2,6,5,3,8,1,4,7] => 0110100 => [1,2,1,1,2] => 603
[6,1,2,4,3,5,7,8] => 1001000 => [1,2,1,3] => 262
[6,5,8,2,7,3,4,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[1,7,6,8,4,3,2,5] => 0101110 => [1,1,1,3,1] => 450
[1,7,6,5,3,8,2,4] => 0111010 => [1,3,1,1,1] => 427
[6,1,2,4,3,5,8,7] => 1001001 => [1,2,1,2,1] => 603
[4,6,1,3,7,8,5,2] => 0100011 => [1,1,3,2] => 265
[8,4,1,5,2,6,7,3] => 1101001 => [2,1,1,2,1] => 603
[1,5,6,3,8,7,2,4] => 0010110 => [2,1,1,2,1] => 603
[5,3,2,6,8,7,1,4] => 1100110 => [2,2,2,1] => 357
[6,3,5,2,7,1,4,8] => 1010100 => [1,1,1,1,1,2] => 1023
[8,5,2,6,7,1,4,3] => 1100101 => [2,2,1,1,1] => 582
[5,3,8,7,1,4,2,6] => 1011010 => [1,1,2,1,1,1] => 984
[6,4,5,3,1,8,7,2] => 1011011 => [1,1,2,1,2] => 611
[8,5,1,2,3,6,7,4] => 1100001 => [2,4,1] => 85
[2,8,6,1,5,4,7,3] => 0110101 => [1,2,1,1,1,1] => 969
[8,3,2,6,1,5,7,4] => 1101001 => [2,1,1,2,1] => 603
[3,8,6,4,7,1,2,5] => 0110100 => [1,2,1,1,2] => 603
[1,8,7,5,4,3,2,6] => 0111110 => [1,5,1] => 37
[8,6,4,7,1,3,2,5] => 1101010 => [2,1,1,1,1,1] => 969
[3,1,4,7,6,2,5,8] => 1001100 => [1,2,2,2] => 363
[5,3,4,1,6,2,7,8] => 1010100 => [1,1,1,1,1,2] => 1023
[2,7,1,4,6,3,5,8] => 0100100 => [1,1,2,1,2] => 611
[7,3,1,6,5,2,4,8] => 1101100 => [2,1,2,2] => 363
[7,1,5,2,4,6,3,8] => 1010010 => [1,1,1,2,1,1] => 1006
[6,1,4,5,2,7,3,8] => 1001010 => [1,2,1,1,1,1] => 969
[6,1,5,8,2,7,4,3] => 1001011 => [1,2,1,1,2] => 603
[7,1,2,3,6,4,5,8] => 1000100 => [1,3,1,2] => 259
[6,3,1,8,5,4,7,2] => 1101101 => [2,1,2,1,1] => 594
[6,1,3,8,7,4,5,2] => 1001101 => [1,2,2,1,1] => 594
[2,8,4,6,5,1,7,3] => 0101101 => [1,1,1,2,1,1] => 1006
[7,4,1,3,6,5,2,8] => 1100110 => [2,2,2,1] => 357
[5,7,2,8,1,3,6,4] => 0101001 => [1,1,1,1,2,1] => 1023
[6,5,1,4,7,3,2,8] => 1100110 => [2,2,2,1] => 357
[2,7,8,4,1,3,6,5] => 0011001 => [2,2,2,1] => 357
[2,4,6,5,7,8,1,3] => 0010010 => [2,1,2,1,1] => 594
[2,4,6,7,5,8,1,3] => 0001010 => [3,1,1,1,1] => 427
[2,4,6,3,7,8,1,5] => 0010010 => [2,1,2,1,1] => 594
[2,4,5,6,8,7,1,3] => 0000110 => [4,2,1] => 85
[2,4,5,6,8,3,7,1] => 0000101 => [4,1,1,1] => 145
[2,4,5,6,3,8,1,7] => 0001010 => [3,1,1,1,1] => 427
[2,3,4,6,8,5,1,7] => 0000110 => [4,2,1] => 85
[5,2,8,3,4,1,6,7] => 1010100 => [1,1,1,1,1,2] => 1023
[3,6,4,1,2,7,8,5] => 0110001 => [1,2,3,1] => 262
[4,1,7,3,8,6,2,5] => 1010110 => [1,1,1,1,2,1] => 1023
[8,4,1,2,5,3,7,6] => 1100101 => [2,2,1,1,1] => 582
[1,5,2,7,6,8,4,3] => 0101011 => [1,1,1,1,1,2] => 1023
[4,7,6,8,3,1,2,5] => 0101100 => [1,1,1,2,2] => 622
[4,8,2,7,6,5,1,3] => 0101110 => [1,1,1,3,1] => 450
[7,4,2,8,6,5,1,3] => 1101110 => [2,1,3,1] => 262
[8,6,5,2,7,1,4,3] => 1110101 => [3,1,1,1,1] => 427
[6,5,8,2,7,1,4,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,5,8,2,1,6,4,3] => 1011011 => [1,1,2,1,2] => 611
[3,2,1,6,5,8,4,7] => 1101010 => [2,1,1,1,1,1] => 969
[2,6,4,8,5,7,3,1] => 0101011 => [1,1,1,1,1,2] => 1023
[6,3,1,4,5,8,2,7] => 1100010 => [2,3,1,1] => 256
[3,4,8,5,2,1,7,6] => 0011101 => [2,3,1,1] => 256
[4,8,7,1,3,2,6,5] => 0110101 => [1,2,1,1,1,1] => 969
[5,8,7,4,6,1,3,2] => 0110101 => [1,2,1,1,1,1] => 969
[3,4,1,8,7,6,2,5] => 0101110 => [1,1,1,3,1] => 450
[1,3,5,6,8,7,2,4] => 0000110 => [4,2,1] => 85
[2,8,7,5,4,1,6,3] => 0111101 => [1,4,1,1] => 145
[8,1,5,7,4,2,6,3] => 1001101 => [1,2,2,1,1] => 594
[5,8,7,3,4,1,6,2] => 0110101 => [1,2,1,1,1,1] => 969
[4,6,1,3,2,8,5,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,6,5,8,3,1,4,7] => 0101100 => [1,1,1,2,2] => 622
[6,7,8,2,4,5,3,1] => 0010011 => [2,1,2,2] => 363
[3,2,8,4,5,7,1,6] => 1010010 => [1,1,1,2,1,1] => 1006
[6,1,8,2,4,5,3,7] => 1010010 => [1,1,1,2,1,1] => 1006
[8,3,6,4,2,7,1,5] => 1011010 => [1,1,2,1,1,1] => 984
[1,3,8,4,7,6,2,5] => 0010110 => [2,1,1,2,1] => 603
[8,3,7,5,4,1,2,6] => 1011100 => [1,1,3,2] => 265
[2,6,4,7,8,5,1,3] => 0100110 => [1,1,2,2,1] => 611
[5,4,3,7,6,1,8,2] => 1101101 => [2,1,2,1,1] => 594
[8,6,3,7,1,4,2,5] => 1101010 => [2,1,1,1,1,1] => 969
[3,1,2,8,7,6,4,5] => 1001110 => [1,2,3,1] => 262
[8,5,4,1,2,3,7,6] => 1110001 => [3,3,1] => 110
[8,3,2,1,6,4,7,5] => 1110101 => [3,1,1,1,1] => 427
[2,3,8,4,1,7,5,6] => 0011010 => [2,2,1,1,1] => 582
[4,6,1,3,2,7,8,5] => 0101001 => [1,1,1,1,2,1] => 1023
[6,7,2,5,8,4,1,3] => 0100110 => [1,1,2,2,1] => 611
[4,1,7,8,2,5,6,3] => 1001001 => [1,2,1,2,1] => 603
[3,4,6,7,1,5,8,2] => 0001001 => [3,1,2,1] => 259
[3,4,5,7,8,1,6,2] => 0000101 => [4,1,1,1] => 145
[1,8,7,4,3,5,2,6] => 0111010 => [1,3,1,1,1] => 427
[2,4,5,8,1,3,7,6] => 0001001 => [3,1,2,1] => 259
[2,7,8,6,5,3,1,4] => 0011110 => [2,4,1] => 85
[6,3,1,5,8,4,2,7] => 1100110 => [2,2,2,1] => 357
[2,8,3,5,6,1,4,7] => 0100100 => [1,1,2,1,2] => 611
[1,3,6,4,2,7,5,8] => 0011010 => [2,2,1,1,1] => 582
[2,3,7,5,8,1,4,6] => 0010100 => [2,1,1,1,2] => 603
[3,2,8,5,6,1,4,7] => 1010100 => [1,1,1,1,1,2] => 1023
[7,2,5,8,1,4,6,3] => 1001001 => [1,2,1,2,1] => 603
[4,7,5,8,1,2,6,3] => 0101001 => [1,1,1,1,2,1] => 1023
[4,7,5,8,1,2,3,6] => 0101000 => [1,1,1,1,3] => 450
[3,4,7,5,2,8,1,6] => 0011010 => [2,2,1,1,1] => 582
[4,3,2,5,7,8,1,6] => 1100010 => [2,3,1,1] => 256
[2,4,7,5,8,3,1,6] => 0010110 => [2,1,1,2,1] => 603
[2,5,4,7,3,8,1,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,7,8,4,2,1,6,5] => 0011101 => [2,3,1,1] => 256
[5,6,7,9,1,2,3,4,8] => 00010000 => [3,1,4] => 220
[4,5,6,7,9,1,2,3,8] => 00001000 => [4,1,3] => 220
[8,5,4,7,6,3,1,2] => 1101110 => [2,1,3,1] => 262
[1,5,4,8,7,6,2,3] => 0101110 => [1,1,1,3,1] => 450
[3,2,4,5,8,1,6,7] => 1000100 => [1,3,1,2] => 259
[3,6,8,4,2,7,1,5] => 0011010 => [2,2,1,1,1] => 582
[1,4,7,6,3,8,2,5] => 0011010 => [2,2,1,1,1] => 582
[3,6,5,1,7,2,8,4] => 0110101 => [1,2,1,1,1,1] => 969
[7,4,1,6,2,8,5,3] => 1101011 => [2,1,1,1,2] => 603
[1,3,6,8,2,4,7,5] => 0001001 => [3,1,2,1] => 259
[1,6,7,4,3,8,2,5] => 0011010 => [2,2,1,1,1] => 582
[7,3,1,6,5,2,8,4] => 1101101 => [2,1,2,1,1] => 594
[8,5,4,1,6,2,7,3] => 1110101 => [3,1,1,1,1] => 427
[4,7,2,8,5,1,6,3] => 0101101 => [1,1,1,2,1,1] => 1006
[7,8,6,2,1,5,4,3] => 0111011 => [1,3,1,2] => 259
[8,6,2,7,3,5,1,4] => 1101010 => [2,1,1,1,1,1] => 969
[2,1,3,8,7,5,6,4] => 1001101 => [1,2,2,1,1] => 594
[8,1,7,3,6,5,2,4] => 1010110 => [1,1,1,1,2,1] => 1023
[1,6,5,7,4,8,3,9,2] => 01010101 => [1,1,1,1,1,1,1,1] => 10176
[5,4,6,3,8,2,7,1,9] => 10101010 => [1,1,1,1,1,1,1,1] => 10176
[1,6,4,7,3,8,5,2] => 0101011 => [1,1,1,1,1,2] => 1023
[3,4,5,6,7,8,2,1,9] => 00000110 => [5,2,1] => 138
[3,4,5,6,7,2,1,8,9] => 00001100 => [4,2,2] => 306
[4,5,6,7,8,1,2,3,9] => 00001000 => [4,1,3] => 220
[4,8,1,6,3,7,2,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[8,5,4,1,6,3,7,2] => 1110101 => [3,1,1,1,1] => 427
[1,7,6,2,4,8,5,3] => 0110011 => [1,2,2,2] => 363
[5,7,3,2,4,8,6,1] => 0110011 => [1,2,2,2] => 363
[2,8,4,6,3,5,1,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,7,8,3,6,4,5,1] => 0010101 => [2,1,1,1,1,1] => 969
[3,8,1,4,6,5,2,7] => 0100110 => [1,1,2,2,1] => 611
[2,7,5,4,1,8,3,6] => 0111010 => [1,3,1,1,1] => 427
[4,6,1,8,5,3,2,7] => 0101110 => [1,1,1,3,1] => 450
[3,8,5,2,1,6,4,7] => 0111010 => [1,3,1,1,1] => 427
[5,1,4,8,2,6,3,7] => 1001010 => [1,2,1,1,1,1] => 969
[4,5,8,1,3,7,6,2] => 0010011 => [2,1,2,2] => 363
[8,6,7,1,4,3,2,5] => 1010110 => [1,1,1,1,2,1] => 1023
[1,4,7,8,6,3,5,2] => 0001101 => [3,2,1,1] => 256
[8,5,2,6,3,4,7,1] => 1101001 => [2,1,1,2,1] => 603
[8,3,6,1,2,7,4,5] => 1010010 => [1,1,1,2,1,1] => 1006
[3,8,6,1,2,5,7,4] => 0110001 => [1,2,3,1] => 262
[3,7,6,2,1,8,5,4] => 0111011 => [1,3,1,2] => 259
[4,3,7,6,1,8,5,2] => 1011011 => [1,1,2,1,2] => 611
[8,6,3,2,7,1,5,4] => 1110101 => [3,1,1,1,1] => 427
[6,8,1,5,4,7,2,3] => 0101010 => [1,1,1,1,1,1,1] => 1623
[6,7,2,5,4,8,1,3] => 0101010 => [1,1,1,1,1,1,1] => 1623
[7,6,2,4,8,5,1,3] => 1100110 => [2,2,2,1] => 357
[4,6,8,7,3,1,2,5] => 0011100 => [2,3,2] => 153
[4,7,5,2,6,3,8,1] => 0110101 => [1,2,1,1,1,1] => 969
[3,5,6,2,8,1,4,7] => 0010100 => [2,1,1,1,2] => 603
[5,1,2,4,3,7,6,8] => 1001010 => [1,2,1,1,1,1] => 969
[6,1,8,2,4,3,5,7] => 1010100 => [1,1,1,1,1,2] => 1023
[1,6,8,2,5,3,4,7] => 0010100 => [2,1,1,1,2] => 603
[8,7,6,2,4,5,1,3] => 1110010 => [3,2,1,1] => 256
[8,7,6,2,4,5,3,1] => 1110011 => [3,2,2] => 153
[5,4,8,7,1,2,6,3] => 1011001 => [1,1,2,2,1] => 611
[2,5,6,4,3,8,1,7] => 0011010 => [2,2,1,1,1] => 582
[8,7,3,5,1,4,6,2] => 1101001 => [2,1,1,2,1] => 603
[8,6,3,5,2,1,4,7] => 1101100 => [2,1,2,2] => 363
[8,7,3,5,2,4,6,1] => 1101001 => [2,1,1,2,1] => 603
[8,4,2,7,6,5,1,3] => 1101110 => [2,1,3,1] => 262
[4,6,3,8,5,2,7,1] => 0101101 => [1,1,1,2,1,1] => 1006
[8,7,1,4,5,6,2,3] => 1100010 => [2,3,1,1] => 256
[4,1,3,8,5,6,2,7] => 1001010 => [1,2,1,1,1,1] => 969
[5,2,8,3,1,6,7,4] => 1011001 => [1,1,2,2,1] => 611
[1,7,8,6,3,2,5,4] => 0011101 => [2,3,1,1] => 256
[3,7,2,4,5,6,1,8] => 0100010 => [1,1,3,1,1] => 439
[3,2,8,1,5,7,4,6] => 1010010 => [1,1,1,2,1,1] => 1006
[3,4,6,7,2,1,5,8] => 0001100 => [3,2,2] => 153
[2,6,7,1,4,3,8,5] => 0010101 => [2,1,1,1,1,1] => 969
[3,2,7,4,8,5,6,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,3,8,5,4,2,7,1] => 1011101 => [1,1,3,1,1] => 439
[7,4,6,1,3,5,2,8] => 1010010 => [1,1,1,2,1,1] => 1006
[1,5,3,8,7,4,6,2] => 0101101 => [1,1,1,2,1,1] => 1006
[5,1,3,8,7,4,6,2] => 1001101 => [1,2,2,1,1] => 594
[2,5,3,8,7,4,1,6] => 0101110 => [1,1,1,3,1] => 450
[6,8,3,5,1,2,7,4] => 0101001 => [1,1,1,1,2,1] => 1023
[5,8,2,7,4,6,3,1] => 0101011 => [1,1,1,1,1,2] => 1023
[4,5,2,8,3,7,1,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[7,8,5,1,6,4,3,2] => 0110111 => [1,2,1,3] => 262
[8,7,5,1,6,4,3,2] => 1110111 => [3,1,3] => 110
[4,5,8,3,1,2,7,6] => 0011001 => [2,2,2,1] => 357
[4,6,8,3,2,1,7,5] => 0011101 => [2,3,1,1] => 256
[4,6,8,3,5,1,2,7] => 0010100 => [2,1,1,1,2] => 603
[1,4,6,3,7,5,2,8] => 0010110 => [2,1,1,2,1] => 603
[4,5,2,6,8,7,3,1] => 0100111 => [1,1,2,3] => 265
[1,3,8,7,4,5,6,2] => 0011001 => [2,2,2,1] => 357
[7,3,1,8,4,5,6,2] => 1101001 => [2,1,1,2,1] => 603
[3,2,8,7,4,5,6,1] => 1011001 => [1,1,2,2,1] => 611
[6,2,4,3,7,5,8,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,4,2,5,1,7,8,3] => 1101001 => [2,1,1,2,1] => 603
[3,8,2,1,5,7,6,4] => 0110011 => [1,2,2,2] => 363
[1,3,2,8,7,4,6,5] => 0101101 => [1,1,1,2,1,1] => 1006
[7,5,2,8,3,1,6,4] => 1101101 => [2,1,2,1,1] => 594
[5,4,2,7,3,8,6,1] => 1101011 => [2,1,1,1,2] => 603
[4,6,3,7,8,1,2,5] => 0100100 => [1,1,2,1,2] => 611
[8,3,5,4,7,1,2,6] => 1010100 => [1,1,1,1,1,2] => 1023
[6,2,5,4,1,7,8,3] => 1011001 => [1,1,2,2,1] => 611
[4,1,5,6,3,8,7,2] => 1001011 => [1,2,1,1,2] => 603
[8,5,1,6,3,2,4,7] => 1101100 => [2,1,2,2] => 363
[6,8,7,4,3,2,5,1] => 0111101 => [1,4,1,1] => 145
[2,8,5,1,3,7,6,4] => 0110011 => [1,2,2,2] => 363
[5,6,4,1,8,2,7,3] => 0110101 => [1,2,1,1,1,1] => 969
[6,4,5,1,3,8,7,2] => 1010011 => [1,1,1,2,2] => 622
[6,1,3,5,4,8,2,7] => 1001010 => [1,2,1,1,1,1] => 969
[1,3,8,7,2,5,6,4] => 0011001 => [2,2,2,1] => 357
[2,5,4,1,8,3,7,6] => 0110101 => [1,2,1,1,1,1] => 969
[5,1,4,8,3,7,6,2] => 1001011 => [1,2,1,1,2] => 603
[8,4,1,2,7,6,5,3] => 1100111 => [2,2,3] => 153
[4,8,3,2,7,6,5,1] => 0110111 => [1,2,1,3] => 262
[1,8,7,3,4,6,5,2] => 0110011 => [1,2,2,2] => 363
[4,3,1,2,6,5,8,7,9] => 11001010 => [2,2,1,1,1,1] => 3528
[6,5,3,1,2,4,8,7,9] => 11100010 => [3,3,1,1] => 664
[8,7,5,3,1,2,4,6,9] => 11110000 => [4,4] => 70
[7,5,3,1,2,4,6,9,8] => 11100001 => [3,4,1] => 220
[5,3,1,2,4,7,6,9,8] => 11000101 => [2,3,1,1,1] => 1536
[4,1,2,6,5,3,8,7,9] => 10011010 => [1,2,2,1,1,1] => 3588
[6,3,1,2,4,8,7,5,9] => 11000110 => [2,3,2,1] => 924
[8,5,3,1,2,4,6,9,7] => 11100001 => [3,4,1] => 220
[5,3,1,2,4,6,8,7] => 1100001 => [2,4,1] => 85
[8,5,7,3,1,2,4,6] => 1011000 => [1,1,2,3] => 265
[7,5,3,1,2,4,6,8,9] => 11100000 => [3,5] => 56
[3,1,2,8,7,5,4,6] => 1001110 => [1,2,3,1] => 262
[5,3,1,2,4,9,7,6,8] => 11000110 => [2,3,2,1] => 924
[3,1,2,7,5,4,6,9,8] => 10011001 => [1,2,2,2,1] => 2194
[1,5,3,2,4,7,6,9,8] => 01100101 => [1,2,2,1,1,1] => 3588
[1,4,3,8,5,7,2,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[6,7,1,5,2,8,4,3] => 0101011 => [1,1,1,1,1,2] => 1023
[1,5,3,7,6,4,8,2] => 0101101 => [1,1,1,2,1,1] => 1006
[4,8,1,3,6,2,7,5] => 0100101 => [1,1,2,1,1,1] => 984
[2,7,3,4,8,6,5,1] => 0100111 => [1,1,2,3] => 265
[1,8,2,4,7,3,6,5] => 0100101 => [1,1,2,1,1,1] => 984
[6,2,3,8,1,5,7,4] => 1001001 => [1,2,1,2,1] => 603
[2,5,7,4,8,3,6,1] => 0010101 => [2,1,1,1,1,1] => 969
[8,5,6,2,4,7,1,3] => 1010010 => [1,1,1,2,1,1] => 1006
[4,8,5,6,7,1,3,2] => 0100101 => [1,1,2,1,1,1] => 984
[8,1,5,7,3,6,4,2] => 1001011 => [1,2,1,1,2] => 603
[2,7,6,4,3,8,5,1] => 0111011 => [1,3,1,2] => 259
[3,8,6,2,7,5,4,1] => 0110111 => [1,2,1,3] => 262
[4,8,1,6,2,5,3,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,8,4,2,5,7,3,6] => 0110010 => [1,2,2,1,1] => 594
[5,8,3,1,2,4,6,7] => 0110000 => [1,2,4] => 85
[1,4,8,5,2,3,6,7] => 0011000 => [2,2,3] => 153
[1,4,8,5,2,3,7,6] => 0011001 => [2,2,2,1] => 357
[1,5,8,7,2,4,3,6] => 0011010 => [2,2,1,1,1] => 582
[1,5,4,2,8,3,7,6] => 0110101 => [1,2,1,1,1,1] => 969
[1,2,8,7,3,5,4,6] => 0011010 => [2,2,1,1,1] => 582
[8,7,1,3,2,5,4,6] => 1101010 => [2,1,1,1,1,1] => 969
[6,7,4,2,8,1,3,5] => 0110100 => [1,2,1,1,2] => 603
[4,1,6,8,7,2,3,5] => 1001100 => [1,2,2,2] => 363
[4,7,5,6,2,8,3,1] => 0101011 => [1,1,1,1,1,2] => 1023
[8,4,3,6,7,5,2,1] => 1100111 => [2,2,3] => 153
[6,7,5,2,8,4,3,1] => 0110111 => [1,2,1,3] => 262
[6,8,4,3,2,7,5,1] => 0111011 => [1,3,1,2] => 259
[2,9,8,7,6,5,1,4,3] => 01111101 => [1,5,1,1] => 240
[6,1,7,3,5,8,2,4] => 1010010 => [1,1,1,2,1,1] => 1006
[1,3,7,6,4,8,2,5] => 0011010 => [2,2,1,1,1] => 582
[2,6,4,8,7,3,1,5] => 0101110 => [1,1,1,3,1] => 450
[2,1,8,7,3,5,4,6] => 1011010 => [1,1,2,1,1,1] => 984
[6,1,5,8,7,4,3,2] => 1001111 => [1,2,4] => 85
[6,1,8,5,7,4,3,2] => 1010111 => [1,1,1,1,3] => 450
[8,5,1,4,7,6,3,2] => 1100111 => [2,2,3] => 153
[8,1,3,7,2,4,6,5] => 1001001 => [1,2,1,2,1] => 603
[2,6,7,3,5,8,4,1] => 0010011 => [2,1,2,2] => 363
[2,6,7,3,5,8,1,4] => 0010010 => [2,1,2,1,1] => 594
[5,3,1,6,4,8,2,7] => 1101010 => [2,1,1,1,1,1] => 969
[2,5,6,7,1,4,8,3] => 0001001 => [3,1,2,1] => 259
[4,7,5,3,2,8,1,6] => 0111010 => [1,3,1,1,1] => 427
[4,7,5,2,8,6,1,3] => 0110110 => [1,2,1,2,1] => 603
[5,8,1,2,7,4,3,6] => 0100110 => [1,1,2,2,1] => 611
[6,3,1,8,2,4,5,7] => 1101000 => [2,1,1,3] => 262
[4,6,3,7,8,1,5,2] => 0100101 => [1,1,2,1,1,1] => 984
[6,3,1,8,4,5,2,7] => 1101010 => [2,1,1,1,1,1] => 969
[2,1,4,7,5,8,6,3] => 1001011 => [1,2,1,1,2] => 603
[7,6,2,4,8,3,1,5] => 1100110 => [2,2,2,1] => 357
[6,5,8,1,4,3,7,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,1,4,2,7,5,6,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,6,3,5,2,1,7,4] => 1101101 => [2,1,2,1,1] => 594
[6,8,3,1,2,5,4,7] => 0110010 => [1,2,2,1,1] => 594
[5,8,6,4,7,1,2,3] => 0110100 => [1,2,1,1,2] => 603
[2,5,1,8,7,3,4,6] => 0101100 => [1,1,1,2,2] => 622
[7,2,4,3,8,6,1,5] => 1010110 => [1,1,1,1,2,1] => 1023
[1,7,6,5,4,3,2,9,8] => 01111101 => [1,5,1,1] => 240
[6,8,4,3,5,1,7,2] => 0110101 => [1,2,1,1,1,1] => 969
[1,4,7,3,6,8,2,5] => 0010010 => [2,1,2,1,1] => 594
[3,7,1,4,6,8,2,5] => 0100010 => [1,1,3,1,1] => 439
[2,4,7,3,6,8,1,5] => 0010010 => [2,1,2,1,1] => 594
[8,5,7,6,1,3,2,4] => 1011010 => [1,1,2,1,1,1] => 984
[2,7,5,6,1,8,4,3] => 0101011 => [1,1,1,1,1,2] => 1023
[1,2,6,7,4,5,8,3] => 0001001 => [3,1,2,1] => 259
[6,5,2,8,7,1,4,3] => 1101101 => [2,1,2,1,1] => 594
[7,2,3,6,8,1,4,5] => 1000100 => [1,3,1,2] => 259
[2,6,1,3,8,5,4,7] => 0100110 => [1,1,2,2,1] => 611
[6,4,1,8,3,2,5,7] => 1101100 => [2,1,2,2] => 363
[5,8,1,4,2,7,3,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,3,1,6,8,7,4,5] => 0100110 => [1,1,2,2,1] => 611
[6,4,8,2,1,7,3,5] => 1011010 => [1,1,2,1,1,1] => 984
[2,3,1,8,7,5,6,4] => 0101101 => [1,1,1,2,1,1] => 1006
[1,5,6,7,2,4,3,8] => 0001010 => [3,1,1,1,1] => 427
[2,8,6,4,1,5,3,7] => 0111010 => [1,3,1,1,1] => 427
[1,5,7,3,6,2,4,8] => 0010100 => [2,1,1,1,2] => 603
[6,7,4,5,1,3,8,2] => 0101001 => [1,1,1,1,2,1] => 1023
[1,6,5,3,8,2,4,7] => 0110100 => [1,2,1,1,2] => 603
[5,6,1,2,4,8,3,7] => 0100010 => [1,1,3,1,1] => 439
[8,7,4,5,1,3,2,6] => 1101010 => [2,1,1,1,1,1] => 969
[8,5,1,2,7,4,3,6] => 1100110 => [2,2,2,1] => 357
[4,1,8,7,2,5,3,6] => 1011010 => [1,1,2,1,1,1] => 984
[2,6,3,8,4,1,7,5] => 0101101 => [1,1,1,2,1,1] => 1006
[3,2,4,6,1,8,7,5] => 1001011 => [1,2,1,1,2] => 603
[3,6,7,4,1,2,5,8] => 0011000 => [2,2,3] => 153
[1,4,7,5,8,2,3,6] => 0010100 => [2,1,1,1,2] => 603
[1,6,8,4,7,3,2,5] => 0010110 => [2,1,1,2,1] => 603
[3,6,7,5,4,8,1,2] => 0011010 => [2,2,1,1,1] => 582
[4,5,7,2,6,3,8,1] => 0010101 => [2,1,1,1,1,1] => 969
[2,1,5,7,4,6,8,3] => 1001001 => [1,2,1,2,1] => 603
[2,3,5,7,8,1,6,4] => 0000101 => [4,1,1,1] => 145
[1,5,7,4,2,3,6,8] => 0011000 => [2,2,3] => 153
[2,4,7,5,3,6,8,1] => 0011001 => [2,2,2,1] => 357
[8,1,7,2,4,6,3,5] => 1010010 => [1,1,1,2,1,1] => 1006
[1,2,4,7,8,6,3,5] => 0000110 => [4,2,1] => 85
[1,3,6,2,5,8,4,7] => 0010010 => [2,1,2,1,1] => 594
[1,5,3,6,8,2,4,7] => 0100100 => [1,1,2,1,2] => 611
[4,8,1,2,6,3,7,5] => 0100101 => [1,1,2,1,1,1] => 984
[5,8,1,2,6,3,7,4] => 0100101 => [1,1,2,1,1,1] => 984
[1,6,2,3,7,5,8,4] => 0100101 => [1,1,2,1,1,1] => 984
[4,1,2,6,5,7,8,3] => 1001001 => [1,2,1,2,1] => 603
[1,8,4,2,7,3,6,5] => 0110101 => [1,2,1,1,1,1] => 969
[1,7,5,2,3,8,6,4] => 0110011 => [1,2,2,2] => 363
[8,1,4,7,3,5,2,6] => 1001010 => [1,2,1,1,1,1] => 969
[8,4,3,6,1,7,2,5] => 1101010 => [2,1,1,1,1,1] => 969
[2,6,1,8,3,7,4,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[8,4,2,1,3,7,5,6] => 1110010 => [3,2,1,1] => 256
[2,5,1,7,6,8,3,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,3,1,8,2,4,7,6] => 1101001 => [2,1,1,2,1] => 603
[1,2,6,3,7,5,8,4] => 0010101 => [2,1,1,1,1,1] => 969
[5,1,8,3,2,4,7,6] => 1011001 => [1,1,2,2,1] => 611
[3,1,5,4,6,7,8,2] => 1010001 => [1,1,1,3,1] => 450
[2,8,5,7,3,1,4,6] => 0101100 => [1,1,1,2,2] => 622
[2,6,8,7,3,1,4,5] => 0011100 => [2,3,2] => 153
[7,4,2,1,3,8,5,6] => 1110010 => [3,2,1,1] => 256
[7,2,1,3,8,5,4,6] => 1100110 => [2,2,2,1] => 357
[2,1,7,3,8,6,4,5] => 1010110 => [1,1,1,1,2,1] => 1023
[1,7,5,3,2,4,8,6] => 0111001 => [1,3,2,1] => 259
[1,4,2,7,6,5,8,3] => 0101101 => [1,1,1,2,1,1] => 1006
[3,4,1,6,5,7,8,2] => 0101001 => [1,1,1,1,2,1] => 1023
[2,8,7,3,4,1,5,6] => 0110100 => [1,2,1,1,2] => 603
[5,7,6,2,3,8,1,4] => 0110010 => [1,2,2,1,1] => 594
[4,5,7,6,2,8,1,3] => 0011010 => [2,2,1,1,1] => 582
[3,1,8,7,5,2,6,4] => 1011101 => [1,1,3,1,1] => 439
[4,5,6,8,7,2,1,3] => 0001110 => [3,3,1] => 110
[2,8,3,1,5,4,7,6] => 0110101 => [1,2,1,1,1,1] => 969
[3,8,4,1,5,2,7,6] => 0110101 => [1,2,1,1,1,1] => 969
[5,1,7,8,3,2,6,4] => 1001101 => [1,2,2,1,1] => 594
[1,8,6,2,4,3,7,5] => 0110101 => [1,2,1,1,1,1] => 969
[4,8,3,1,6,2,7,5] => 0110101 => [1,2,1,1,1,1] => 969
[2,8,3,1,6,4,7,5] => 0110101 => [1,2,1,1,1,1] => 969
[6,2,7,1,5,8,4,3] => 1010011 => [1,1,1,2,2] => 622
[1,7,8,9,6,5,4,3,2] => 00011111 => [3,5] => 56
[1,6,7,8,9,5,4,3,2] => 00001111 => [4,4] => 70
[1,5,6,7,8,9,4,3,2] => 00000111 => [5,3] => 56
[1,4,5,6,7,8,9,3,2] => 00000011 => [6,2] => 28
[1,7,6,8,9,5,4,3,2] => 01001111 => [1,1,2,4] => 538
[1,6,5,7,8,9,4,3,2] => 01000111 => [1,1,3,3] => 688
[1,5,4,6,7,8,9,3,2] => 01000011 => [1,1,4,2] => 538
[4,8,5,1,3,2,6,7] => 0110100 => [1,2,1,1,2] => 603
[5,4,3,1,2,7,6,8] => 1110010 => [3,2,1,1] => 256
[4,1,6,5,2,3,7,8] => 1011000 => [1,1,2,3] => 265
[7,1,5,2,3,6,4,8] => 1010010 => [1,1,1,2,1,1] => 1006
[4,1,6,3,7,2,5,8] => 1010100 => [1,1,1,1,1,2] => 1023
[4,6,1,2,8,3,7,5] => 0100101 => [1,1,2,1,1,1] => 984
[4,1,3,6,7,2,5,8] => 1000100 => [1,3,1,2] => 259
[2,6,5,1,3,4,7,8] => 0110000 => [1,2,4] => 85
[2,6,7,4,3,1,5,8] => 0011100 => [2,3,2] => 153
[2,6,3,1,7,4,5,8] => 0110100 => [1,2,1,1,2] => 603
[6,5,3,7,2,4,1,8] => 1101010 => [2,1,1,1,1,1] => 969
[2,3,6,7,1,5,4,8] => 0001010 => [3,1,1,1,1] => 427
[2,7,5,8,1,3,6,4] => 0101001 => [1,1,1,1,2,1] => 1023
[5,1,6,7,3,2,4,8] => 1001100 => [1,2,2,2] => 363
[5,6,1,4,7,2,3,8] => 0100100 => [1,1,2,1,2] => 611
[1,2,5,7,8,6,3,4] => 0000110 => [4,2,1] => 85
[1,2,6,7,4,5,3,8] => 0001010 => [3,1,1,1,1] => 427
[1,2,7,8,4,6,3,5] => 0001010 => [3,1,1,1,1] => 427
[8,6,5,2,1,7,4,3] => 1111011 => [4,1,2] => 85
[4,3,8,6,7,1,5,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,3,2,4,7,1,6,5] => 1100101 => [2,2,1,1,1] => 582
[7,3,2,8,6,1,5,4] => 1101101 => [2,1,2,1,1] => 594
[7,5,8,2,6,1,4,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,4,1,2,6,5,8,3] => 1100101 => [2,2,1,1,1] => 582
[5,2,7,4,6,1,8,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,4,1,2,3,6,8,5] => 1100001 => [2,4,1] => 85
[5,4,8,6,3,2,1,7] => 1011110 => [1,1,4,1] => 148
[8,4,6,7,3,1,5,2] => 1001101 => [1,2,2,1,1] => 594
[4,6,8,5,1,2,7,3] => 0011001 => [2,2,2,1] => 357
[4,1,3,6,8,5,2,7] => 1000110 => [1,3,2,1] => 259
[6,3,5,7,1,2,8,4] => 1001001 => [1,2,1,2,1] => 603
[1,8,5,3,2,4,6,7] => 0111000 => [1,3,3] => 110
[1,6,7,3,4,2,5,8] => 0010100 => [2,1,1,1,2] => 603
[1,6,8,3,4,2,5,7] => 0010100 => [2,1,1,1,2] => 603
[1,8,7,5,3,4,2,6] => 0111010 => [1,3,1,1,1] => 427
[1,7,8,5,3,4,2,6] => 0011010 => [2,2,1,1,1] => 582
[1,7,6,8,4,2,3,5] => 0101100 => [1,1,1,2,2] => 622
[1,7,8,6,4,3,2,5] => 0011110 => [2,4,1] => 85
[9,8,7,6,5,2,1,3,4] => 11111100 => [6,2] => 28
[9,8,6,4,7,2,5,1,3] => 11101010 => [3,1,1,1,1,1] => 2592
[9,7,8,6,5,4,3,2,1] => 10111111 => [1,1,6] => 50
[5,1,7,8,4,2,3,6] => 1001100 => [1,2,2,2] => 363
[3,8,2,1,6,7,5,4] => 0110011 => [1,2,2,2] => 363
[2,8,3,1,7,5,6,4] => 0110101 => [1,2,1,1,1,1] => 969
[8,5,6,2,1,4,7,3] => 1011001 => [1,1,2,2,1] => 611
[2,7,4,1,5,8,3,6] => 0110010 => [1,2,2,1,1] => 594
[2,1,6,4,7,8,3,5] => 1010010 => [1,1,1,2,1,1] => 1006
[5,7,8,3,4,2,1,6] => 0010110 => [2,1,1,2,1] => 603
[4,7,5,3,8,2,6,1] => 0110101 => [1,2,1,1,1,1] => 969
[2,6,4,7,8,5,3,1] => 0100111 => [1,1,2,3] => 265
[7,8,4,5,6,1,3,2] => 0100101 => [1,1,2,1,1,1] => 984
[2,5,1,8,4,6,7,3] => 0101001 => [1,1,1,1,2,1] => 1023
[5,2,8,4,6,7,1,3] => 1010010 => [1,1,1,2,1,1] => 1006
[6,5,8,3,4,2,1,7] => 1010110 => [1,1,1,1,2,1] => 1023
[1,3,5,8,4,6,7,2] => 0001001 => [3,1,2,1] => 259
[8,2,7,6,3,4,5,1] => 1011001 => [1,1,2,2,1] => 611
[6,8,7,3,2,1,4,5] => 0111100 => [1,4,2] => 85
[3,4,8,2,7,1,5,6] => 0010100 => [2,1,1,1,2] => 603
[7,2,6,1,4,8,3,5] => 1010010 => [1,1,1,2,1,1] => 1006
[7,8,1,2,4,6,3,5] => 0100010 => [1,1,3,1,1] => 439
[7,2,8,3,4,5,1,6] => 1010010 => [1,1,1,2,1,1] => 1006
[6,1,8,3,4,2,5,7] => 1010100 => [1,1,1,1,1,2] => 1023
[7,5,1,2,4,3,8,6] => 1100101 => [2,2,1,1,1] => 582
[7,6,8,1,4,2,3,5] => 1010100 => [1,1,1,1,1,2] => 1023
[2,4,3,7,8,5,6,1] => 0100101 => [1,1,2,1,1,1] => 984
[2,1,7,6,3,4,5,8] => 1011000 => [1,1,2,3] => 265
[6,3,5,2,1,8,4,7] => 1011010 => [1,1,2,1,1,1] => 984
[6,1,5,3,8,2,4,7] => 1010100 => [1,1,1,1,1,2] => 1023
[2,3,6,8,5,1,7,4] => 0001101 => [3,2,1,1] => 256
[3,2,4,8,6,1,7,5] => 1001101 => [1,2,2,1,1] => 594
[2,1,3,8,4,5,7,6] => 1001001 => [1,2,1,2,1] => 603
[3,1,2,8,5,4,7,6] => 1001101 => [1,2,2,1,1] => 594
[2,1,3,7,8,4,6,5] => 1000101 => [1,3,1,1,1] => 427
[2,1,3,8,4,7,6,5] => 1001011 => [1,2,1,1,2] => 603
[3,1,2,8,4,5,7,6] => 1001001 => [1,2,1,2,1] => 603
[1,2,8,7,5,4,6,3] => 0011101 => [2,3,1,1] => 256
[4,6,7,2,3,8,1,5] => 0010010 => [2,1,2,1,1] => 594
[3,2,6,5,7,8,1,4] => 1010010 => [1,1,1,2,1,1] => 1006
[3,2,7,5,6,8,1,4] => 1010010 => [1,1,1,2,1,1] => 1006
[2,1,8,7,4,6,5,3] => 1011011 => [1,1,2,1,2] => 611
[6,1,5,8,4,7,3,2] => 1001011 => [1,2,1,1,2] => 603
[1,4,6,8,5,7,2,3] => 0001010 => [3,1,1,1,1] => 427
[2,4,7,1,8,3,6,5] => 0010101 => [2,1,1,1,1,1] => 969
[6,1,5,4,2,3,8,7] => 1011001 => [1,1,2,2,1] => 611
[6,4,5,1,2,8,3,7] => 1010010 => [1,1,1,2,1,1] => 1006
[8,4,1,5,7,6,3,2] => 1100111 => [2,2,3] => 153
[8,1,6,3,5,2,4,7] => 1010100 => [1,1,1,1,1,2] => 1023
[4,6,2,5,3,8,1,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,6,5,2,1,8,3,7] => 0111010 => [1,3,1,1,1] => 427
[5,8,4,3,6,7,2,1] => 0110011 => [1,2,2,2] => 363
[6,8,2,1,5,3,4,7] => 0110100 => [1,2,1,1,2] => 603
[2,5,3,8,6,7,4,1] => 0101011 => [1,1,1,1,1,2] => 1023
[3,2,6,5,1,8,4,7] => 1011010 => [1,1,2,1,1,1] => 984
[7,4,5,8,1,6,2,3] => 1001010 => [1,2,1,1,1,1] => 969
[4,5,8,1,6,7,3,2] => 0010011 => [2,1,2,2] => 363
[5,1,8,4,6,7,3,2] => 1010011 => [1,1,1,2,2] => 622
[6,5,3,8,1,7,2,4] => 1101010 => [2,1,1,1,1,1] => 969
[8,3,7,1,6,2,4,5] => 1010100 => [1,1,1,1,1,2] => 1023
[8,1,4,6,5,7,2,3] => 1001010 => [1,2,1,1,1,1] => 969
[8,1,7,5,6,4,2,3] => 1010110 => [1,1,1,1,2,1] => 1023
[8,6,1,5,3,7,2,4] => 1101010 => [2,1,1,1,1,1] => 969
[7,2,3,6,8,1,5,4] => 1000101 => [1,3,1,1,1] => 427
[2,6,3,7,8,1,4,5] => 0100100 => [1,1,2,1,2] => 611
[6,3,8,7,2,1,5,4] => 1011101 => [1,1,3,1,1] => 439
[7,2,5,6,3,4,8,1] => 1001001 => [1,2,1,2,1] => 603
[7,2,8,6,3,1,5,4] => 1011101 => [1,1,3,1,1] => 439
[7,2,4,5,8,6,3,1] => 1000111 => [1,3,3] => 110
[6,3,8,4,7,2,5,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,2,3,6,8,5,4,1] => 1000111 => [1,3,3] => 110
[7,2,8,5,4,1,3,6] => 1011100 => [1,1,3,2] => 265
[7,4,5,2,8,1,6,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,5,4,2,8,1,6,3] => 1110101 => [3,1,1,1,1] => 427
[7,6,3,2,8,4,5,1] => 1110101 => [3,1,1,1,1] => 427
[7,2,3,6,8,4,5,1] => 1000101 => [1,3,1,1,1] => 427
[7,2,5,4,8,3,6,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,2,8,3,6,1,4,5] => 1010100 => [1,1,1,1,1,2] => 1023
[7,4,5,2,8,3,6,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[3,1,6,7,4,5,2,8] => 1001010 => [1,2,1,1,1,1] => 969
[3,1,5,4,7,6,2,8] => 1010110 => [1,1,1,1,2,1] => 1023
[7,3,6,8,2,4,5,1] => 1001001 => [1,2,1,2,1] => 603
[5,1,3,2,4,6,8,7] => 1010001 => [1,1,1,3,1] => 450
[8,4,2,5,1,7,3,6] => 1101010 => [2,1,1,1,1,1] => 969
[6,4,2,5,7,3,8,1] => 1100101 => [2,2,1,1,1] => 582
[5,7,8,4,2,3,6,1] => 0011001 => [2,2,2,1] => 357
[6,4,5,2,8,3,7,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,5,2,4,3,8,7,1] => 1101011 => [2,1,1,1,2] => 603
[6,5,3,4,1,8,2,7] => 1101010 => [2,1,1,1,1,1] => 969
[6,4,5,3,8,1,2,7] => 1010100 => [1,1,1,1,1,2] => 1023
[5,6,4,8,3,1,2,7] => 0101100 => [1,1,1,2,2] => 622
[7,2,4,6,3,8,5,1] => 1001011 => [1,2,1,1,2] => 603
[2,8,3,7,6,1,5,4] => 0101101 => [1,1,1,2,1,1] => 1006
[5,4,2,6,8,7,3,1] => 1100111 => [2,2,3] => 153
[3,7,2,5,8,6,4,1] => 0100111 => [1,1,2,3] => 265
[2,4,8,7,6,1,5,3] => 0011101 => [2,3,1,1] => 256
[3,2,8,7,4,6,5,1] => 1011011 => [1,1,2,1,2] => 611
[8,2,6,5,1,4,3,7] => 1011010 => [1,1,2,1,1,1] => 984
[4,8,5,2,7,6,3,1] => 0110111 => [1,2,1,3] => 262
[2,8,6,5,7,1,3,4] => 0110100 => [1,2,1,1,2] => 603
[3,8,4,7,2,1,6,5] => 0101101 => [1,1,1,2,1,1] => 1006
[4,8,5,1,7,6,3,2] => 0110111 => [1,2,1,3] => 262
[5,8,1,7,6,2,3,4] => 0101100 => [1,1,1,2,2] => 622
[3,4,6,2,5,7,1,8] => 0010010 => [2,1,2,1,1] => 594
[1,7,5,2,6,8,3,4] => 0110010 => [1,2,2,1,1] => 594
[5,1,7,2,4,6,3,8] => 1010010 => [1,1,1,2,1,1] => 1006
[6,8,2,1,3,4,7,5] => 0110001 => [1,2,3,1] => 262
[5,2,1,7,6,4,3,8] => 1101110 => [2,1,3,1] => 262
[7,4,8,3,6,5,1,2] => 1010110 => [1,1,1,1,2,1] => 1023
[6,4,8,5,1,7,2,3] => 1011010 => [1,1,2,1,1,1] => 984
[5,2,8,1,3,6,7,4] => 1010001 => [1,1,1,3,1] => 450
[6,3,2,7,4,5,8,1] => 1101001 => [2,1,1,2,1] => 603
[7,4,3,8,5,6,1,2] => 1101010 => [2,1,1,1,1,1] => 969
[6,2,1,8,7,4,5,3] => 1101101 => [2,1,2,1,1] => 594
[6,2,1,8,7,3,5,4] => 1101101 => [2,1,2,1,1] => 594
[5,2,1,7,6,3,4,8] => 1101100 => [2,1,2,2] => 363
[4,2,6,8,5,7,1,3] => 1001010 => [1,2,1,1,1,1] => 969
[8,6,4,3,2,7,5,1] => 1111011 => [4,1,2] => 85
[1,3,4,7,8,2,6,5] => 0000101 => [4,1,1,1] => 145
[1,5,4,3,8,7,2,6] => 0110110 => [1,2,1,2,1] => 603
[1,2,5,8,4,3,6,7] => 0001100 => [3,2,2] => 153
[1,5,8,2,6,4,3,7] => 0010110 => [2,1,1,2,1] => 603
[3,5,6,2,4,7,8,1] => 0010001 => [2,1,3,1] => 262
[3,5,6,7,2,4,8,1] => 0001001 => [3,1,2,1] => 259
[3,5,7,6,8,2,4,1] => 0010101 => [2,1,1,1,1,1] => 969
[3,5,7,2,6,8,4,1] => 0010011 => [2,1,2,2] => 363
[3,5,2,7,6,8,4,1] => 0101011 => [1,1,1,1,1,2] => 1023
[3,5,7,4,2,6,8,1] => 0011001 => [2,2,2,1] => 357
[3,5,4,7,2,6,8,1] => 0101001 => [1,1,1,1,2,1] => 1023
[3,4,5,7,2,6,8,1] => 0001001 => [3,1,2,1] => 259
[3,4,5,7,2,8,6,1] => 0001011 => [3,1,1,2] => 259
[3,5,4,7,8,2,6,1] => 0100101 => [1,1,2,1,1,1] => 984
[3,5,4,7,2,8,6,1] => 0101011 => [1,1,1,1,1,2] => 1023
[3,2,5,7,4,8,6,1] => 1001011 => [1,2,1,1,2] => 603
[3,5,7,4,2,8,6,1] => 0011011 => [2,2,1,2] => 357
[3,5,7,8,4,2,6,1] => 0001101 => [3,2,1,1] => 256
[2,3,5,7,8,4,6,1] => 0000101 => [4,1,1,1] => 145
[3,5,2,7,8,6,4,1] => 0100111 => [1,1,2,3] => 265
[3,5,7,8,2,6,4,1] => 0001011 => [3,1,1,2] => 259
[3,5,7,8,6,2,4,1] => 0001101 => [3,2,1,1] => 256
[3,2,5,6,7,8,9,1,4] => 10000010 => [1,5,1,1] => 240
[4,2,5,6,7,3,8,1] => 1000101 => [1,3,1,1,1] => 427
[4,2,5,6,7,8,9,3,1] => 10000011 => [1,5,2] => 138
[8,6,1,4,3,5,2,7] => 1101010 => [2,1,1,1,1,1] => 969
[6,1,8,4,3,5,2,7] => 1011010 => [1,1,2,1,1,1] => 984
[5,1,6,4,8,2,3,7] => 1010100 => [1,1,1,1,1,2] => 1023
[8,1,4,2,5,3,6,7] => 1010100 => [1,1,1,1,1,2] => 1023
[2,8,4,1,5,3,6,7] => 0110100 => [1,2,1,1,2] => 603
[8,4,1,3,5,2,6,7] => 1100100 => [2,2,1,2] => 357
[4,1,8,3,5,2,6,7] => 1010100 => [1,1,1,1,1,2] => 1023
[8,3,1,2,5,4,6,7] => 1100100 => [2,2,1,2] => 357
[3,1,8,2,5,4,6,7] => 1010100 => [1,1,1,1,1,2] => 1023
[4,2,5,1,8,7,6,3] => 1010111 => [1,1,1,1,3] => 450
[5,2,4,8,1,7,6,3] => 1001011 => [1,2,1,1,2] => 603
[7,3,2,4,6,8,1,5] => 1100010 => [2,3,1,1] => 256
[1,4,8,6,7,2,5,3] => 0010101 => [2,1,1,1,1,1] => 969
[1,4,5,7,3,8,2,6] => 0001010 => [3,1,1,1,1] => 427
[4,6,8,1,2,5,3,7] => 0010010 => [2,1,2,1,1] => 594
[3,5,6,8,2,1,4,7] => 0001100 => [3,2,2] => 153
[8,2,5,4,1,3,7,6] => 1011001 => [1,1,2,2,1] => 611
[2,4,5,8,6,3,1,7] => 0001110 => [3,3,1] => 110
[5,4,8,2,3,1,7,6] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,7,5,8,2,3,1,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,6,7,5,1,8,3,2] => 0011011 => [2,2,1,2] => 357
[1,7,3,6,5,8,2,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[8,3,4,2,6,7,1,5] => 1010010 => [1,1,1,2,1,1] => 1006
[7,5,3,8,6,2,1,4] => 1101110 => [2,1,3,1] => 262
[7,3,1,8,2,6,5,4] => 1101011 => [2,1,1,1,2] => 603
[4,6,7,5,2,8,3,1] => 0011011 => [2,2,1,2] => 357
[5,8,7,2,4,3,1,6] => 0110110 => [1,2,1,2,1] => 603
[5,1,2,8,6,7,3,4] => 1001010 => [1,2,1,1,1,1] => 969
[2,5,7,8,6,1,4,3] => 0001101 => [3,2,1,1] => 256
[7,2,6,8,4,5,1,3] => 1001010 => [1,2,1,1,1,1] => 969
[5,1,7,6,8,2,3,4] => 1010100 => [1,1,1,1,1,2] => 1023
[1,7,6,2,4,3,8,5] => 0110101 => [1,2,1,1,1,1] => 969
[7,1,6,2,4,5,3,8] => 1010010 => [1,1,1,2,1,1] => 1006
[5,7,1,6,2,3,4,8] => 0101000 => [1,1,1,1,3] => 450
[6,2,5,8,3,4,1,7] => 1001010 => [1,2,1,1,1,1] => 969
[5,6,8,7,1,3,2,4] => 0011010 => [2,2,1,1,1] => 582
[1,5,3,4,8,2,6,7] => 0100100 => [1,1,2,1,2] => 611
[2,1,3,6,5,8,4,7] => 1001010 => [1,2,1,1,1,1] => 969
[2,8,6,5,7,4,3,1] => 0110111 => [1,2,1,3] => 262
[2,8,6,5,7,4,1,3] => 0110110 => [1,2,1,2,1] => 603
[6,5,2,7,4,3,1,8] => 1101110 => [2,1,3,1] => 262
[6,5,2,8,4,3,7,1] => 1101101 => [2,1,2,1,1] => 594
[7,5,8,3,4,2,1,6] => 1010110 => [1,1,1,1,2,1] => 1023
[7,6,8,5,2,4,1,3] => 1011010 => [1,1,2,1,1,1] => 984
[5,3,7,2,4,1,8,6] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,1,2,8,6,3,7,4] => 1001101 => [1,2,2,1,1] => 594
[6,1,5,7,2,4,3,8] => 1001010 => [1,2,1,1,1,1] => 969
[4,1,8,2,6,5,7,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,1,4,7,8,5,3,2] => 1000111 => [1,3,3] => 110
[6,1,5,7,8,4,2,3] => 1000110 => [1,3,2,1] => 259
[4,6,1,5,7,2,8,3] => 0100101 => [1,1,2,1,1,1] => 984
[2,5,8,4,6,3,7,1] => 0010101 => [2,1,1,1,1,1] => 969
[4,3,7,1,2,6,8,5] => 1010001 => [1,1,1,3,1] => 450
[8,1,6,5,2,7,4,3] => 1011011 => [1,1,2,1,2] => 611
[6,8,1,5,2,7,4,3] => 0101011 => [1,1,1,1,1,2] => 1023
[4,5,8,2,3,7,6,1] => 0010011 => [2,1,2,2] => 363
[5,6,2,7,4,8,3,1] => 0101011 => [1,1,1,1,1,2] => 1023
[1,7,3,2,4,8,6,5] => 0110011 => [1,2,2,2] => 363
[4,3,1,8,2,6,7,5] => 1101001 => [2,1,1,2,1] => 603
[4,8,1,3,2,5,7,6] => 0101001 => [1,1,1,1,2,1] => 1023
[1,7,5,3,8,6,2,4] => 0110110 => [1,2,1,2,1] => 603
[2,5,3,8,1,4,7,6] => 0101001 => [1,1,1,1,2,1] => 1023
[4,2,5,8,1,3,7,6] => 1001001 => [1,2,1,2,1] => 603
[8,1,2,4,3,5,7,6] => 1001001 => [1,2,1,2,1] => 603
[2,4,3,8,1,5,7,6] => 0101001 => [1,1,1,1,2,1] => 1023
[3,1,7,4,8,6,5,2] => 1010111 => [1,1,1,1,3] => 450
[6,4,5,3,2,8,7,1] => 1011011 => [1,1,2,1,2] => 611
[2,7,3,8,5,1,6,4] => 0101101 => [1,1,1,2,1,1] => 1006
[8,7,3,2,5,6,4,1] => 1110011 => [3,2,2] => 153
[3,1,8,2,6,5,4,7] => 1010110 => [1,1,1,1,2,1] => 1023
[7,6,2,8,1,4,5,3] => 1101001 => [2,1,1,2,1] => 603
[2,3,8,4,1,5,7,6] => 0011001 => [2,2,2,1] => 357
[8,4,2,3,1,5,7,6] => 1101001 => [2,1,1,2,1] => 603
[8,2,3,4,1,5,7,6] => 1001001 => [1,2,1,2,1] => 603
[7,1,6,2,4,8,3,5] => 1010010 => [1,1,1,2,1,1] => 1006
[2,7,8,1,4,3,6,5] => 0010101 => [2,1,1,1,1,1] => 969
[6,5,8,1,3,2,4,7] => 1010100 => [1,1,1,1,1,2] => 1023
[2,1,8,5,3,4,6,7] => 1011000 => [1,1,2,3] => 265
[8,4,1,3,2,5,6,7] => 1101000 => [2,1,1,3] => 262
[8,6,1,2,3,5,4,7] => 1100010 => [2,3,1,1] => 256
[7,8,1,5,2,4,6,3] => 0101001 => [1,1,1,1,2,1] => 1023
[2,8,6,3,1,5,4,7] => 0111010 => [1,3,1,1,1] => 427
[5,7,2,8,4,1,6,3] => 0101101 => [1,1,1,2,1,1] => 1006
[2,5,6,3,8,1,4,7] => 0010100 => [2,1,1,1,2] => 603
[1,3,4,5,6,7,2,8,9] => 00000100 => [5,1,2] => 138
[7,4,5,6,8,1,3,2] => 1000101 => [1,3,1,1,1] => 427
[7,6,8,1,4,5,3,2] => 1010011 => [1,1,1,2,2] => 622
[7,5,1,8,4,6,3,2] => 1101011 => [2,1,1,1,2] => 603
[1,7,8,5,6,4,3,2] => 0010111 => [2,1,1,3] => 262
[2,8,1,7,4,5,3,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[7,3,6,2,5,4,8,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[1,6,2,3,5,8,4,7] => 0100010 => [1,1,3,1,1] => 439
[1,8,5,6,4,3,7,2] => 0101101 => [1,1,1,2,1,1] => 1006
[2,6,8,4,5,1,7,3] => 0010101 => [2,1,1,1,1,1] => 969
[4,6,5,7,8,1,3,2] => 0100101 => [1,1,2,1,1,1] => 984
[2,5,8,6,4,7,1,3] => 0011010 => [2,2,1,1,1] => 582
[5,3,2,1,7,8,4,6] => 1110010 => [3,2,1,1] => 256
[8,4,1,3,6,7,2,5] => 1100010 => [2,3,1,1] => 256
[1,6,5,3,8,4,7,2] => 0110101 => [1,2,1,1,1,1] => 969
[7,6,2,3,5,1,4,8] => 1100100 => [2,2,1,2] => 357
[6,2,5,3,4,8,1,7] => 1010010 => [1,1,1,2,1,1] => 1006
[6,2,5,3,4,8,7,1] => 1010011 => [1,1,1,2,2] => 622
[2,6,5,3,4,8,1,7] => 0110010 => [1,2,2,1,1] => 594
[5,3,4,8,1,7,2,6] => 1001010 => [1,2,1,1,1,1] => 969
[5,1,3,4,8,7,2,6] => 1000110 => [1,3,2,1] => 259
[1,5,3,4,8,7,2,6] => 0100110 => [1,1,2,2,1] => 611
[5,1,3,8,4,7,6,2] => 1001011 => [1,2,1,1,2] => 603
[5,3,8,1,4,7,6,2] => 1010011 => [1,1,1,2,2] => 622
[4,3,5,8,1,7,6,2] => 1001011 => [1,2,1,1,2] => 603
[3,6,5,4,8,1,2,7] => 0110100 => [1,2,1,1,2] => 603
[3,6,5,4,8,2,7,1] => 0110101 => [1,2,1,1,1,1] => 969
[3,5,2,4,8,7,6,1] => 0100111 => [1,1,2,3] => 265
[2,5,3,6,8,4,1,7] => 0100110 => [1,1,2,2,1] => 611
[4,6,2,5,1,7,8,3] => 0101001 => [1,1,1,1,2,1] => 1023
[2,3,1,7,4,8,6,5] => 0101011 => [1,1,1,1,1,2] => 1023
[2,3,8,7,6,4,1,5] => 0011110 => [2,4,1] => 85
[2,6,3,7,4,1,5,8] => 0101100 => [1,1,1,2,2] => 622
[7,5,2,3,1,6,4,8] => 1101010 => [2,1,1,1,1,1] => 969
[1,8,3,6,4,2,7,5] => 0101101 => [1,1,1,2,1,1] => 1006
[2,1,7,4,8,5,3,6] => 1010110 => [1,1,1,1,2,1] => 1023
[8,1,7,3,2,5,4,6] => 1011010 => [1,1,2,1,1,1] => 984
[7,8,5,2,6,4,3,1] => 0110111 => [1,2,1,3] => 262
[4,2,8,1,3,6,7,5] => 1010001 => [1,1,1,3,1] => 450
[8,1,2,5,7,4,6,3] => 1000101 => [1,3,1,1,1] => 427
[7,4,6,3,1,2,5,8] => 1011000 => [1,1,2,3] => 265
[6,4,1,3,7,2,5,8] => 1100100 => [2,2,1,2] => 357
[8,2,5,3,6,1,4,7] => 1010100 => [1,1,1,1,1,2] => 1023
[3,7,5,1,4,6,2,8] => 0110010 => [1,2,2,1,1] => 594
[6,8,7,4,1,5,2,3] => 0111010 => [1,3,1,1,1] => 427
[8,6,4,7,5,1,3,2] => 1101101 => [2,1,2,1,1] => 594
[6,1,2,4,7,8,3,5] => 1000010 => [1,4,1,1] => 145
[2,4,6,5,7,1,8,3] => 0010101 => [2,1,1,1,1,1] => 969
[4,2,6,7,8,5,3,1] => 1000111 => [1,3,3] => 110
[6,2,4,7,8,5,3,1] => 1000111 => [1,3,3] => 110
[3,5,2,1,7,8,6,4] => 0110011 => [1,2,2,2] => 363
[4,2,7,8,6,5,1,3] => 1001110 => [1,2,3,1] => 262
[1,2,7,8,6,4,5,3] => 0001101 => [3,2,1,1] => 256
[4,8,1,2,6,5,3,7] => 0100110 => [1,1,2,2,1] => 611
[7,1,6,3,2,4,8,5] => 1011001 => [1,1,2,2,1] => 611
[6,4,8,1,2,3,7,5] => 1010001 => [1,1,1,3,1] => 450
[7,4,1,3,6,8,5,2] => 1100011 => [2,3,2] => 153
[5,2,7,1,4,6,3,8] => 1010010 => [1,1,1,2,1,1] => 1006
[6,3,8,5,7,1,4,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[2,4,3,8,5,7,1,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,8,3,1,4,6,5,7] => 0110010 => [1,2,2,1,1] => 594
[4,5,7,6,1,3,8,2] => 0011001 => [2,2,2,1] => 357
[3,7,1,6,5,8,2,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[7,4,3,6,8,2,1,5] => 1100110 => [2,2,2,1] => 357
[3,8,5,4,7,6,1,2] => 0110110 => [1,2,1,2,1] => 603
[1,4,6,8,7,3,5,2] => 0001101 => [3,2,1,1] => 256
[4,6,5,1,3,8,7,2] => 0110011 => [1,2,2,2] => 363
[5,4,6,2,1,8,7,3] => 1011011 => [1,1,2,1,2] => 611
[3,2,8,5,1,4,6,7] => 1011000 => [1,1,2,3] => 265
[3,5,4,1,2,8,6,7] => 0110010 => [1,2,2,1,1] => 594
[5,3,8,1,4,2,6,7] => 1010100 => [1,1,1,1,1,2] => 1023
[5,3,8,1,4,2,7,6] => 1010101 => [1,1,1,1,1,1,1] => 1623
[1,4,7,5,8,6,2,3] => 0010110 => [2,1,1,2,1] => 603
[8,5,7,6,3,4,1,2] => 1011010 => [1,1,2,1,1,1] => 984
[7,5,2,6,1,4,8,3] => 1101001 => [2,1,1,2,1] => 603
[2,4,5,1,8,3,7,6] => 0010101 => [2,1,1,1,1,1] => 969
[7,2,8,5,3,4,1,6] => 1011010 => [1,1,2,1,1,1] => 984
[6,4,5,3,1,7,8,2] => 1011001 => [1,1,2,2,1] => 611
[7,3,5,6,4,1,8,2] => 1001101 => [1,2,2,1,1] => 594
[1,4,7,6,8,5,2,3] => 0010110 => [2,1,1,2,1] => 603
[2,3,4,7,8,9,1,5,6] => 00000100 => [5,1,2] => 138
[2,3,6,7,8,9,1,4,5] => 00000100 => [5,1,2] => 138
[2,5,6,7,8,9,1,3,4] => 00000100 => [5,1,2] => 138
[2,3,4,5,1,9,6,7,8] => 00010100 => [3,1,1,1,2] => 1576
[2,3,4,1,8,9,5,6,7] => 00100100 => [2,1,2,1,2] => 2194
[2,3,1,7,8,9,4,5,6] => 01000100 => [1,1,3,1,2] => 1608
[2,1,6,7,8,9,3,4,5] => 10000100 => [1,4,1,2] => 526
[2,5,6,3,4,1,8,7] => 0010101 => [2,1,1,1,1,1] => 969
[4,6,2,1,5,8,3,7] => 0110010 => [1,2,2,1,1] => 594
[4,6,7,2,3,8,5,1] => 0010011 => [2,1,2,2] => 363
[4,5,3,7,8,1,2,6] => 0100100 => [1,1,2,1,2] => 611
[2,3,5,8,1,6,4,7] => 0001010 => [3,1,1,1,1] => 427
[1,7,4,5,8,3,6,2] => 0100101 => [1,1,2,1,1,1] => 984
[2,8,5,6,3,1,4,7] => 0101100 => [1,1,1,2,2] => 622
[4,8,2,6,1,5,7,3] => 0101001 => [1,1,1,1,2,1] => 1023
[2,3,7,8,1,5,4,6] => 0001010 => [3,1,1,1,1] => 427
[5,2,6,7,8,3,1,4] => 1000110 => [1,3,2,1] => 259
[5,6,2,7,8,3,1,4] => 0100110 => [1,1,2,2,1] => 611
[2,3,7,5,8,4,6,1] => 0010101 => [2,1,1,1,1,1] => 969
[3,7,8,5,1,4,6,2] => 0011001 => [2,2,2,1] => 357
[2,5,6,7,1,8,4,3] => 0001011 => [3,1,1,2] => 259
[8,5,3,6,4,2,1,7] => 1101110 => [2,1,3,1] => 262
[6,4,7,8,1,2,5,3] => 1001001 => [1,2,1,2,1] => 603
[7,5,8,1,2,3,6,4] => 1010001 => [1,1,1,3,1] => 450
[1,2,8,7,4,6,5,3] => 0011011 => [2,2,1,2] => 357
[5,1,4,8,7,3,6,2] => 1001101 => [1,2,2,1,1] => 594
[4,3,1,8,7,5,6,2] => 1101101 => [2,1,2,1,1] => 594
[4,3,2,7,6,1,5,8] => 1101100 => [2,1,2,2] => 363
[7,2,6,5,3,1,4,8] => 1011100 => [1,1,3,2] => 265
[1,3,7,6,2,4,8,5] => 0011001 => [2,2,2,1] => 357
[1,3,8,2,7,4,6,5] => 0010101 => [2,1,1,1,1,1] => 969
[8,2,7,1,6,4,3,5] => 1010110 => [1,1,1,1,2,1] => 1023
[4,3,2,8,1,7,5,6] => 1101010 => [2,1,1,1,1,1] => 969
[7,5,4,1,6,3,8,2] => 1110101 => [3,1,1,1,1] => 427
[1,6,5,3,2,4,8,7] => 0111001 => [1,3,2,1] => 259
[1,7,3,5,2,4,8,6] => 0101001 => [1,1,1,1,2,1] => 1023
[4,3,7,2,5,1,6,8] => 1010100 => [1,1,1,1,1,2] => 1023
[5,1,4,3,2,6,8,7] => 1011001 => [1,1,2,2,1] => 611
[7,2,1,3,5,4,6,8] => 1100100 => [2,2,1,2] => 357
[8,3,7,5,4,2,6,1] => 1011101 => [1,1,3,1,1] => 439
[1,6,8,7,5,2,3,4] => 0011100 => [2,3,2] => 153
[4,3,6,1,8,5,2,7] => 1010110 => [1,1,1,1,2,1] => 1023
[1,3,6,2,5,4,8,7] => 0010101 => [2,1,1,1,1,1] => 969
[1,4,8,7,3,6,2,5] => 0011010 => [2,2,1,1,1] => 582
[4,5,7,6,3,1,8,2] => 0011101 => [2,3,1,1] => 256
[4,6,7,5,1,3,8,2] => 0011001 => [2,2,2,1] => 357
[3,6,5,1,4,7,8,2] => 0110001 => [1,2,3,1] => 262
[4,6,7,3,1,5,8,2] => 0011001 => [2,2,2,1] => 357
[5,4,1,8,7,3,6,2] => 1101101 => [2,1,2,1,1] => 594
[6,2,4,7,5,3,1,8] => 1001110 => [1,2,3,1] => 262
[6,2,5,1,8,7,3,4] => 1010110 => [1,1,1,1,2,1] => 1023
[3,2,6,1,5,8,7,4] => 1010011 => [1,1,1,2,2] => 622
[4,2,3,6,7,5,1,8] => 1000110 => [1,3,2,1] => 259
[6,2,3,5,7,4,1,8] => 1000110 => [1,3,2,1] => 259
[1,6,3,8,4,7,2,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[8,1,5,2,4,7,3,6] => 1010010 => [1,1,1,2,1,1] => 1006
[7,5,8,1,4,2,3,6] => 1010100 => [1,1,1,1,1,2] => 1023
[4,1,2,3,6,5,8,7,9] => 10001010 => [1,3,1,1,1,1] => 2592
[4,1,6,2,3,5,8,7,9] => 10100010 => [1,1,1,3,1,1] => 2732
[1,3,4,8,5,6,2,7] => 0001010 => [3,1,1,1,1] => 427
[3,2,7,1,8,6,5,4] => 1010111 => [1,1,1,1,3] => 450
[1,3,8,5,6,7,2,4] => 0010010 => [2,1,2,1,1] => 594
[6,2,4,1,5,7,8,3] => 1010001 => [1,1,1,3,1] => 450
[5,8,4,1,3,6,7,2] => 0110001 => [1,2,3,1] => 262
[6,7,2,3,8,1,4,5] => 0100100 => [1,1,2,1,2] => 611
[3,2,7,4,8,1,5,6] => 1010100 => [1,1,1,1,1,2] => 1023
[5,2,8,1,7,4,6,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[2,5,4,7,3,1,8,6] => 0101101 => [1,1,1,2,1,1] => 1006
[4,6,3,1,2,5,7,8] => 0110000 => [1,2,4] => 85
[7,4,6,8,3,1,2,5] => 1001100 => [1,2,2,2] => 363
[8,5,4,7,3,1,2,6] => 1101100 => [2,1,2,2] => 363
[7,3,2,1,5,4,8,6] => 1110101 => [3,1,1,1,1] => 427
[2,5,6,4,8,1,3,7] => 0010100 => [2,1,1,1,2] => 603
[5,4,1,6,2,3,7,8] => 1101000 => [2,1,1,3] => 262
[1,3,6,5,2,4,7,8] => 0011000 => [2,2,3] => 153
[6,4,5,1,2,8,7,3] => 1010011 => [1,1,1,2,2] => 622
[5,4,1,2,7,6,3,8] => 1100110 => [2,2,2,1] => 357
[5,8,7,3,1,2,4,6] => 0111000 => [1,3,3] => 110
[2,7,8,1,4,5,3,6] => 0010010 => [2,1,2,1,1] => 594
[4,1,2,8,7,3,6,5] => 1001101 => [1,2,2,1,1] => 594
[6,1,2,4,3,8,7,5] => 1001011 => [1,2,1,1,2] => 603
[3,7,8,1,2,4,6,5] => 0010001 => [2,1,3,1] => 262
[7,3,4,1,2,6,8,5] => 1010001 => [1,1,1,3,1] => 450
[8,4,3,1,2,6,5,7] => 1110010 => [3,2,1,1] => 256
[3,8,2,7,4,5,1,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[8,6,2,3,5,4,1,7] => 1100110 => [2,2,2,1] => 357
[8,2,6,1,3,5,4,7] => 1010010 => [1,1,1,2,1,1] => 1006
[8,4,3,7,2,5,6,1] => 1101001 => [2,1,1,2,1] => 603
[8,3,1,7,4,5,2,6] => 1101010 => [2,1,1,1,1,1] => 969
[8,2,4,5,1,7,3,6] => 1001010 => [1,2,1,1,1,1] => 969
[6,8,2,4,5,1,7,3] => 0100101 => [1,1,2,1,1,1] => 984
[4,3,8,1,7,5,6,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,4,3,7,1,5,6,2] => 1101001 => [2,1,1,2,1] => 603
[8,3,4,7,2,6,5,1] => 1001011 => [1,2,1,1,2] => 603
[8,1,3,7,6,4,5,2] => 1001101 => [1,2,2,1,1] => 594
[8,3,7,1,4,5,6,2] => 1010001 => [1,1,1,3,1] => 450
[8,7,3,6,1,2,5,4] => 1101001 => [2,1,1,2,1] => 603
[8,3,7,6,2,4,5,1] => 1011001 => [1,1,2,2,1] => 611
[8,7,2,3,6,1,5,4] => 1100101 => [2,2,1,1,1] => 582
[8,2,7,1,3,4,6,5] => 1010001 => [1,1,1,3,1] => 450
[5,1,8,4,2,3,7,6] => 1011001 => [1,1,2,2,1] => 611
[8,2,4,7,3,1,6,5] => 1001101 => [1,2,2,1,1] => 594
[8,2,7,6,3,1,4,5] => 1011100 => [1,1,3,2] => 265
[6,8,1,4,7,3,2,5] => 0100110 => [1,1,2,2,1] => 611
[8,5,7,2,6,3,1,4] => 1010110 => [1,1,1,1,2,1] => 1023
[5,8,2,7,3,1,6,4] => 0101101 => [1,1,1,2,1,1] => 1006
[8,1,2,6,7,5,4,3] => 1000111 => [1,3,3] => 110
[8,4,1,7,5,6,2,3] => 1101010 => [2,1,1,1,1,1] => 969
[8,2,4,7,6,5,1,3] => 1001110 => [1,2,3,1] => 262
[8,2,7,6,4,5,1,3] => 1011010 => [1,1,2,1,1,1] => 984
[8,4,7,2,3,6,5,1] => 1010011 => [1,1,1,2,2] => 622
[8,2,4,7,3,6,5,1] => 1001011 => [1,2,1,1,2] => 603
[8,1,7,6,4,5,2,3] => 1011010 => [1,1,2,1,1,1] => 984
[8,1,2,7,6,4,5,3] => 1001101 => [1,2,2,1,1] => 594
[8,1,4,7,3,6,5,2] => 1001011 => [1,2,1,1,2] => 603
[2,3,1,9,8,7,6,5,4] => 01011111 => [1,1,1,5] => 244
[3,4,2,1,9,8,7,6,5] => 01101111 => [1,2,1,4] => 534
[4,5,3,2,1,9,8,7,6] => 01110111 => [1,3,1,3] => 676
[5,6,4,3,2,1,9,8,7] => 01111011 => [1,4,1,2] => 526
[6,7,5,4,3,2,1,9,8] => 01111101 => [1,5,1,1] => 240
[2,8,1,5,3,7,6,4] => 0101011 => [1,1,1,1,1,2] => 1023
[1,8,2,4,7,5,6,3] => 0100101 => [1,1,2,1,1,1] => 984
[2,3,8,4,7,1,6,5] => 0010101 => [2,1,1,1,1,1] => 969
[1,8,2,3,5,6,4,7] => 0100010 => [1,1,3,1,1] => 439
[1,4,7,6,2,3,5,8] => 0011000 => [2,2,3] => 153
[1,7,6,2,3,8,4,5] => 0110010 => [1,2,2,1,1] => 594
[1,8,2,3,7,6,4,5] => 0100110 => [1,1,2,2,1] => 611
[1,7,3,8,6,2,5,4] => 0101101 => [1,1,1,2,1,1] => 1006
[5,8,2,3,7,4,1,6] => 0100110 => [1,1,2,2,1] => 611
[4,2,8,3,7,6,1,5] => 1010110 => [1,1,1,1,2,1] => 1023
[1,3,5,6,4,8,2,7] => 0001010 => [3,1,1,1,1] => 427
[3,1,7,8,5,2,4,6] => 1001100 => [1,2,2,2] => 363
[4,6,1,8,2,7,5,3] => 0101011 => [1,1,1,1,1,2] => 1023
[6,3,5,2,8,4,7,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[1,6,3,5,2,8,4,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,4,8,6,3,7,2,1] => 1011011 => [1,1,2,1,2] => 611
[6,4,5,8,1,3,7,2] => 1001001 => [1,2,1,2,1] => 603
[6,3,5,1,8,4,7,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[2,6,3,1,5,8,4,7] => 0110010 => [1,2,2,1,1] => 594
[2,5,4,8,6,3,1,7] => 0101110 => [1,1,1,3,1] => 450
[2,5,4,8,6,3,7,1] => 0101101 => [1,1,1,2,1,1] => 1006
[1,2,5,4,8,6,3,7] => 0010110 => [2,1,1,2,1] => 603
[6,4,5,8,2,1,7,3] => 1001101 => [1,2,2,1,1] => 594
[5,3,4,1,2,6,8,7] => 1010001 => [1,1,1,3,1] => 450
[1,4,3,5,2,8,6,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,3,5,4,8,2,6,7] => 0010100 => [2,1,1,1,2] => 603
[3,5,4,8,2,6,1,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,6,4,5,1,2,8,7] => 0101001 => [1,1,1,1,2,1] => 1023
[4,3,5,1,8,6,2,7] => 1010110 => [1,1,1,1,2,1] => 1023
[3,5,4,8,1,6,2,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,4,8,5,6,1,2,7] => 0010100 => [2,1,1,1,2] => 603
[3,4,8,5,6,2,1,7] => 0010110 => [2,1,1,2,1] => 603
[3,5,4,8,1,6,7,2] => 0101001 => [1,1,1,1,2,1] => 1023
[2,4,3,1,5,8,6,7] => 0110010 => [1,2,2,1,1] => 594
[1,7,6,2,5,4,8,3] => 0110101 => [1,2,1,1,1,1] => 969
[5,6,1,7,4,3,8,2] => 0101101 => [1,1,1,2,1,1] => 1006
[3,1,5,6,4,2,7,8] => 1001100 => [1,2,2,2] => 363
[8,3,4,1,6,5,7,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,1,6,4,3,5,2,7] => 1011010 => [1,1,2,1,1,1] => 984
[1,3,7,8,2,6,4,5] => 0001010 => [3,1,1,1,1] => 427
[2,1,6,5,3,8,7,4] => 1011011 => [1,1,2,1,2] => 611
[3,7,5,6,4,2,1,8] => 0101110 => [1,1,1,3,1] => 450
[6,1,4,3,7,5,8,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[3,8,6,4,5,2,7,1] => 0110101 => [1,2,1,1,1,1] => 969
[4,5,8,6,2,3,7,1] => 0011001 => [2,2,2,1] => 357
[4,6,8,5,3,7,2,1] => 0011011 => [2,2,1,2] => 357
[4,5,7,2,8,6,3,1] => 0010111 => [2,1,1,3] => 262
[3,7,4,5,1,6,8,2] => 0101001 => [1,1,1,1,2,1] => 1023
[4,6,8,1,2,5,7,3] => 0010001 => [2,1,3,1] => 262
[4,6,8,5,1,3,7,2] => 0011001 => [2,2,2,1] => 357
[3,7,4,5,2,8,6,1] => 0101011 => [1,1,1,1,1,2] => 1023
[3,7,8,4,6,1,5,2] => 0010101 => [2,1,1,1,1,1] => 969
[4,5,7,2,1,6,8,3] => 0011001 => [2,2,2,1] => 357
[4,5,1,6,8,3,7,2] => 0100101 => [1,1,2,1,1,1] => 984
[8,3,5,4,6,1,2,7] => 1010100 => [1,1,1,1,1,2] => 1023
[3,4,5,6,1,7,2,9,8] => 00010101 => [3,1,1,1,1,1] => 2592
[1,7,4,5,2,6,8,3] => 0101001 => [1,1,1,1,2,1] => 1023
[1,4,5,9,6,7,2,8,3] => 00010101 => [3,1,1,1,1,1] => 2592
[2,4,5,9,6,1,7,3,8] => 00011010 => [3,2,1,1,1] => 1536
[3,4,5,7,6,1,9,2,8] => 00011010 => [3,2,1,1,1] => 1536
[1,4,2,6,5,3,8,7] => 0101101 => [1,1,1,2,1,1] => 1006
[3,1,5,8,4,6,2,7] => 1001010 => [1,2,1,1,1,1] => 969
[3,5,6,9,7,1,8,2,4] => 00011010 => [3,2,1,1,1] => 1536
[1,4,8,5,6,2,7,9,3] => 00101001 => [2,1,1,1,2,1] => 3696
[2,5,9,6,7,3,1,4,8] => 00101100 => [2,1,1,2,2] => 2226
[4,1,5,2,7,6,3,9,8] => 10101101 => [1,1,1,1,2,1,1] => 6264
[3,4,1,6,9,5,7,2,8] => 01001010 => [1,1,2,1,1,1,1] => 6040
[8,2,6,3,4,1,5,7] => 1010100 => [1,1,1,1,1,2] => 1023
[4,6,5,8,2,1,3,7] => 0101100 => [1,1,1,2,2] => 622
[1,4,8,3,5,6,2,7] => 0010010 => [2,1,2,1,1] => 594
[1,8,7,4,2,3,6,5] => 0111001 => [1,3,2,1] => 259
[6,7,9,8,1,3,4,2,5] => 00110010 => [2,2,2,1,1] => 2138
[9,1,5,2,8,6,3,7,4] => 10101101 => [1,1,1,1,2,1,1] => 6264
[1,7,4,5,2,6,8,9,3] => 01010001 => [1,1,1,1,3,1] => 2790
[4,3,1,8,5,7,2,6] => 1101010 => [2,1,1,1,1,1] => 969
[7,3,2,4,8,1,6,5] => 1100101 => [2,2,1,1,1] => 582
[3,7,2,4,5,8,1,6] => 0100010 => [1,1,3,1,1] => 439
[3,2,7,4,6,1,8,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,3,2,4,6,1,7,5] => 1100101 => [2,2,1,1,1] => 582
[8,3,2,4,5,7,1,6] => 1100010 => [2,3,1,1] => 256
[7,4,6,2,1,3,8,5] => 1011001 => [1,1,2,2,1] => 611
[3,6,7,2,4,1,8,5] => 0010101 => [2,1,1,1,1,1] => 969
[5,4,8,7,6,2,3,1] => 1011101 => [1,1,3,1,1] => 439
[5,2,3,8,7,1,6,4] => 1001101 => [1,2,2,1,1] => 594
[7,5,2,4,1,3,8,6] => 1101001 => [2,1,1,2,1] => 603
[7,2,6,8,5,1,3,4] => 1001100 => [1,2,2,2] => 363
[8,2,3,4,1,6,7,5] => 1001001 => [1,2,1,2,1] => 603
[9,2,3,4,5,6,1,8,7] => 10000101 => [1,4,1,1,1] => 888
[9,2,3,4,5,1,7,8,6] => 10001001 => [1,3,1,2,1] => 1576
[9,2,3,4,1,6,7,8,5] => 10010001 => [1,2,1,3,1] => 1612
[9,2,3,1,5,6,7,8,4] => 10100001 => [1,1,1,4,1] => 934
[9,2,1,4,5,6,7,8,3] => 11000001 => [2,5,1] => 138
[5,2,3,4,1,9,6,8,7] => 10010101 => [1,2,1,1,1,1,1] => 5976
[4,2,3,1,9,5,7,8,6] => 10101001 => [1,1,1,1,1,2,1] => 6344
[3,2,1,9,4,6,7,8,5] => 11010001 => [2,1,1,3,1] => 1612
[2,1,9,3,5,6,7,8,4] => 10100001 => [1,1,1,4,1] => 934
[7,4,3,8,1,6,5,2] => 1101011 => [2,1,1,1,2] => 603
[6,5,1,4,3,8,7,2] => 1101011 => [2,1,1,1,2] => 603
[4,7,6,2,5,8,1,3] => 0110010 => [1,2,2,1,1] => 594
[6,3,2,4,5,8,1,7] => 1100010 => [2,3,1,1] => 256
[2,6,4,5,8,3,1,7] => 0100110 => [1,1,2,2,1] => 611
[3,7,4,8,6,2,5,1] => 0101101 => [1,1,1,2,1,1] => 1006
[7,3,5,2,8,1,4,6] => 1010100 => [1,1,1,1,1,2] => 1023
[1,5,8,7,4,2,3,6] => 0011100 => [2,3,2] => 153
[1,7,2,4,5,8,6,3] => 0100011 => [1,1,3,2] => 265
[1,4,6,8,7,2,5,3] => 0001101 => [3,2,1,1] => 256
[1,6,2,7,5,3,4,8] => 0101100 => [1,1,1,2,2] => 622
[1,3,7,2,6,4,5,8] => 0010100 => [2,1,1,1,2] => 603
[1,7,3,2,8,5,6,4] => 0110101 => [1,2,1,1,1,1] => 969
[1,6,5,2,4,8,3,7] => 0110010 => [1,2,2,1,1] => 594
[1,7,3,8,4,2,5,6] => 0101100 => [1,1,1,2,2] => 622
[1,6,2,4,7,5,8,3] => 0100101 => [1,1,2,1,1,1] => 984
[1,6,2,7,4,3,8,5] => 0101101 => [1,1,1,2,1,1] => 1006
[1,5,8,2,3,6,4,7] => 0010010 => [2,1,2,1,1] => 594
[6,8,9,1,2,3,4,5,7] => 00100000 => [2,1,5] => 138
[5,8,9,1,2,3,4,6,7] => 00100000 => [2,1,5] => 138
[2,5,3,6,7,1,4,8] => 0100100 => [1,1,2,1,2] => 611
[6,4,1,5,7,2,3,8] => 1100100 => [2,2,1,2] => 357
[6,4,1,5,7,3,8,2] => 1100101 => [2,2,1,1,1] => 582
[1,2,7,3,8,5,6,4] => 0010101 => [2,1,1,1,1,1] => 969
[7,4,1,6,3,8,2,5] => 1101010 => [2,1,1,1,1,1] => 969
[1,5,7,4,3,8,6,2] => 0011011 => [2,2,1,2] => 357
[2,7,3,1,4,5,8,6] => 0110001 => [1,2,3,1] => 262
[2,3,4,5,1,7,6,9,8] => 00010101 => [3,1,1,1,1,1] => 2592
[2,3,4,1,6,5,8,7,9] => 00101010 => [2,1,1,1,1,1,1] => 5976
[2,3,4,5,1,8,6,9,7] => 00010101 => [3,1,1,1,1,1] => 2592
[2,3,4,1,7,5,8,6,9] => 00101010 => [2,1,1,1,1,1,1] => 5976
[6,5,8,3,2,7,1,4] => 1011010 => [1,1,2,1,1,1] => 984
[8,4,3,1,7,6,5,2] => 1110111 => [3,1,3] => 110
[1,2,6,7,5,3,4,8] => 0001100 => [3,2,2] => 153
[1,2,6,8,7,4,5,3] => 0001101 => [3,2,1,1] => 256
[3,4,5,6,7,9,1,8,2] => 00000101 => [5,1,1,1] => 240
[3,4,5,6,8,2,7,1] => 0000101 => [4,1,1,1] => 145
[3,4,5,6,7,9,2,8,1] => 00000101 => [5,1,1,1] => 240
[3,4,5,6,7,1,9,8,2] => 00001011 => [4,1,1,2] => 526
[7,2,1,4,5,6,3,8] => 1100010 => [2,3,1,1] => 256
[1,5,6,7,3,4,2,8] => 0001010 => [3,1,1,1,1] => 427
[4,6,8,5,2,1,7,3] => 0011101 => [2,3,1,1] => 256
[1,6,7,8,2,4,5,3] => 0001001 => [3,1,2,1] => 259
[4,7,8,2,1,3,5,6] => 0011000 => [2,2,3] => 153
[5,7,8,3,2,4,6,1] => 0011001 => [2,2,2,1] => 357
[5,7,8,2,3,1,6,4] => 0010101 => [2,1,1,1,1,1] => 969
[5,3,4,2,1,9,8,7,6] => 10110111 => [1,1,2,1,3] => 1626
[6,5,3,4,2,1,9,8,7] => 11011011 => [2,1,2,1,2] => 2194
[7,6,4,5,3,2,1,9,8] => 11011101 => [2,1,3,1,1] => 1580
[4,5,2,7,8,6,1,3] => 0100110 => [1,1,2,2,1] => 611
[1,3,5,8,7,2,6,4] => 0001101 => [3,2,1,1] => 256
[6,4,1,8,5,7,3,2] => 1101011 => [2,1,1,1,2] => 603
[4,1,3,8,7,5,2,6] => 1001110 => [1,2,3,1] => 262
[8,5,1,6,7,2,4,3] => 1100101 => [2,2,1,1,1] => 582
[3,6,7,2,1,5,8,4] => 0011001 => [2,2,2,1] => 357
[2,5,6,1,3,8,7,4] => 0010011 => [2,1,2,2] => 363
[7,2,5,6,1,3,8,4] => 1001001 => [1,2,1,2,1] => 603
[6,4,1,2,5,8,3,7] => 1100010 => [2,3,1,1] => 256
[4,6,3,5,7,1,8,2] => 0100101 => [1,1,2,1,1,1] => 984
[4,7,3,5,2,6,8,1] => 0101001 => [1,1,1,1,2,1] => 1023
[2,3,5,4,7,1,8,6] => 0010101 => [2,1,1,1,1,1] => 969
[6,8,4,1,5,7,3,2] => 0110011 => [1,2,2,2] => 363
[8,1,6,2,3,7,5,4] => 1010011 => [1,1,1,2,2] => 622
[2,8,3,6,4,1,7,5] => 0101101 => [1,1,1,2,1,1] => 1006
[6,5,3,4,8,2,1,7] => 1100110 => [2,2,2,1] => 357
[5,4,8,7,3,6,2,1] => 1011011 => [1,1,2,1,2] => 611
[3,4,5,1,2,6,7,8,9] => 00100000 => [2,1,5] => 138
[5,2,7,6,8,3,4,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,4,5,2,7,3,6,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,3,7,4,5,2,8,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,3,4,2,8,5,6,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,3,6,5,8,2,7,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,2,7,4,5,3,6,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,2,8,4,5,3,6,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,3,8,2,7,4,5,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[3,2,8,4,7,5,6,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,3,6,2,7,4,5,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[1,7,8,4,3,6,5,2] => 0011011 => [2,2,1,2] => 357
[1,7,8,3,6,5,4,2] => 0010111 => [2,1,1,3] => 262
[6,4,5,8,7,2,1,3] => 1001110 => [1,2,3,1] => 262
[5,8,1,7,2,4,3,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,5,7,3,8,1,4,6] => 0010100 => [2,1,1,1,2] => 603
[8,3,5,2,1,6,7,4] => 1011001 => [1,1,2,2,1] => 611
[2,6,4,7,1,8,5,3] => 0101011 => [1,1,1,1,1,2] => 1023
[1,6,5,7,3,8,2,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,8,5,3,7,6,2,4] => 0110110 => [1,2,1,2,1] => 603
[6,4,2,3,8,7,5,1] => 1100111 => [2,2,3] => 153
[6,1,4,2,7,8,3,5] => 1010010 => [1,1,1,2,1,1] => 1006
[6,5,1,3,7,8,4,2] => 1100011 => [2,3,2] => 153
[5,1,3,2,7,8,6,4] => 1010011 => [1,1,1,2,2] => 622
[6,7,4,2,3,8,5,1] => 0110011 => [1,2,2,2] => 363
[5,8,7,3,2,4,6,1] => 0111001 => [1,3,2,1] => 259
[5,1,3,2,6,8,4,7] => 1010010 => [1,1,1,2,1,1] => 1006
[5,7,1,4,6,8,2,3] => 0100010 => [1,1,3,1,1] => 439
[2,4,1,7,5,6,3,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,4,3,7,6,2,8,5] => 0101101 => [1,1,1,2,1,1] => 1006
[1,6,2,5,7,3,8,4] => 0100101 => [1,1,2,1,1,1] => 984
[1,4,3,8,2,5,7,6] => 0101001 => [1,1,1,1,2,1] => 1023
[1,5,7,3,6,4,2,8] => 0010110 => [2,1,1,2,1] => 603
[1,6,7,2,4,8,3,5] => 0010010 => [2,1,2,1,1] => 594
[3,7,2,8,4,1,5,6] => 0101100 => [1,1,1,2,2] => 622
[2,4,1,5,3,6,8,7,9] => 01010010 => [1,1,1,1,2,1,1] => 6264
[2,4,1,7,3,8,5,6,9] => 01010100 => [1,1,1,1,1,1,2] => 6344
[5,3,4,1,7,8,6,2] => 1010011 => [1,1,1,2,2] => 622
[4,7,6,5,8,2,3,1] => 0110101 => [1,2,1,1,1,1] => 969
[2,3,8,4,5,7,1,6] => 0010010 => [2,1,2,1,1] => 594
[4,1,8,3,2,6,5,7] => 1011010 => [1,1,2,1,1,1] => 984
[1,2,6,8,4,3,5,7] => 0001100 => [3,2,2] => 153
[7,2,6,3,1,8,4,5] => 1011010 => [1,1,2,1,1,1] => 984
[5,8,4,1,3,7,2,6] => 0110010 => [1,2,2,1,1] => 594
[3,4,2,1,6,8,5,7] => 0110010 => [1,2,2,1,1] => 594
[8,1,3,5,6,4,7,2] => 1000101 => [1,3,1,1,1] => 427
[3,4,7,1,5,6,2,8] => 0010010 => [2,1,2,1,1] => 594
[4,8,2,6,5,3,7,1] => 0101101 => [1,1,1,2,1,1] => 1006
[4,8,7,2,5,6,1,3] => 0110010 => [1,2,2,1,1] => 594
[5,8,6,4,7,3,2,1] => 0110111 => [1,2,1,3] => 262
[8,5,2,3,1,6,7,4] => 1101001 => [2,1,1,2,1] => 603
[2,8,6,3,5,1,7,4] => 0110101 => [1,2,1,1,1,1] => 969
[8,3,2,6,4,1,7,5] => 1101101 => [2,1,2,1,1] => 594
[8,4,1,5,3,6,7,2] => 1101001 => [2,1,1,2,1] => 603
[8,3,5,1,4,6,7,2] => 1010001 => [1,1,1,3,1] => 450
[8,5,1,3,4,6,7,2] => 1100001 => [2,4,1] => 85
[3,8,6,2,5,4,7,1] => 0110101 => [1,2,1,1,1,1] => 969
[3,8,4,6,5,2,7,1] => 0101101 => [1,1,1,2,1,1] => 1006
[8,1,7,4,2,5,3,6] => 1011010 => [1,1,2,1,1,1] => 984
[8,3,2,5,1,4,7,6] => 1101001 => [2,1,1,2,1] => 603
[8,4,5,1,2,6,7,3] => 1010001 => [1,1,1,3,1] => 450
[8,1,5,3,2,6,7,4] => 1011001 => [1,1,2,2,1] => 611
[8,1,5,2,4,6,7,3] => 1010001 => [1,1,1,3,1] => 450
[5,2,6,4,1,3,8,7] => 1011001 => [1,1,2,2,1] => 611
[7,1,3,5,2,8,6,4] => 1001011 => [1,2,1,1,2] => 603
[8,6,4,7,1,3,5,2] => 1101001 => [2,1,1,2,1] => 603
[6,8,4,3,2,1,7,5] => 0111101 => [1,4,1,1] => 145
[2,1,8,5,4,3,7,6] => 1011101 => [1,1,3,1,1] => 439
[6,2,8,5,4,1,3,7] => 1011100 => [1,1,3,2] => 265
[6,4,8,5,3,2,7,1] => 1011101 => [1,1,3,1,1] => 439
[8,5,4,6,2,7,1,3] => 1101010 => [2,1,1,1,1,1] => 969
[6,8,5,4,7,2,3,1] => 0110101 => [1,2,1,1,1,1] => 969
[2,5,7,3,4,8,1,6] => 0010010 => [2,1,2,1,1] => 594
[5,2,4,7,8,1,3,6] => 1000100 => [1,3,1,2] => 259
[8,5,9,3,6,1,2,4,7] => 10101000 => [1,1,1,1,1,3] => 2790
[9,7,1,5,8,3,6,2,4] => 11001010 => [2,2,1,1,1,1] => 3528
[9,7,5,4,1,3,8,2,6] => 11110010 => [4,2,1,1] => 522
[4,8,5,6,1,2,7,3] => 0101001 => [1,1,1,1,2,1] => 1023
[2,5,6,8,7,1,4,3] => 0001101 => [3,2,1,1] => 256
[1,7,8,5,4,6,2,3] => 0011010 => [2,2,1,1,1] => 582
[4,6,8,1,5,2,7,3] => 0010101 => [2,1,1,1,1,1] => 969
[5,3,8,1,2,6,7,4] => 1010001 => [1,1,1,3,1] => 450
[8,2,3,6,4,1,7,5] => 1001101 => [1,2,2,1,1] => 594
[2,3,7,5,8,6,1,4] => 0010110 => [2,1,1,2,1] => 603
[3,8,5,1,2,4,7,6] => 0110001 => [1,2,3,1] => 262
[1,3,6,4,8,2,7,5] => 0010101 => [2,1,1,1,1,1] => 969
[1,7,6,2,8,5,3,4] => 0110110 => [1,2,1,2,1] => 603
[1,5,8,6,4,7,2,3] => 0011010 => [2,2,1,1,1] => 582
[5,6,2,8,1,7,3,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[6,8,4,5,1,3,7,2] => 0101001 => [1,1,1,1,2,1] => 1023
[5,2,3,8,1,4,6,7] => 1001000 => [1,2,1,3] => 262
[1,6,8,3,2,4,5,7] => 0011000 => [2,2,3] => 153
[9,6,5,4,3,2,1,7,8] => 11111100 => [6,2] => 28
[9,8,5,4,3,2,1,6,7] => 11111100 => [6,2] => 28
[8,6,5,2,4,3,7,1] => 1110101 => [3,1,1,1,1] => 427
[6,2,5,3,7,4,8,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,5,4,2,6,3,7,1] => 1110101 => [3,1,1,1,1] => 427
[8,5,3,2,6,4,7,1] => 1110101 => [3,1,1,1,1] => 427
[7,4,6,5,8,2,3,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,3,6,5,8,2,4,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,3,6,4,8,2,5,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,3,5,4,8,2,6,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,3,6,8,4,5,1,2] => 1001010 => [1,2,1,1,1,1] => 969
[1,6,5,7,4,2,8,3] => 0101101 => [1,1,1,2,1,1] => 1006
[1,2,7,4,8,5,6,3] => 0010101 => [2,1,1,1,1,1] => 969
[2,6,7,4,8,5,1,3] => 0010110 => [2,1,1,2,1] => 603
[2,5,8,6,4,3,7,1] => 0011101 => [2,3,1,1] => 256
[6,4,2,5,7,1,8,3] => 1100101 => [2,2,1,1,1] => 582
[2,7,5,4,6,8,1,3] => 0110010 => [1,2,2,1,1] => 594
[9,1,2,3,4,5,8,7,6] => 10000011 => [1,5,2] => 138
[9,1,2,3,4,8,6,7,5] => 10000101 => [1,4,1,1,1] => 888
[8,1,4,7,3,5,6,2] => 1001001 => [1,2,1,2,1] => 603
[9,1,2,8,4,5,6,7,3] => 10010001 => [1,2,1,3,1] => 1612
[8,3,7,2,4,5,6,1] => 1010001 => [1,1,1,3,1] => 450
[9,1,8,3,4,5,6,7,2] => 10100001 => [1,1,1,4,1] => 934
[9,1,2,3,4,7,8,6,5] => 10000011 => [1,5,2] => 138
[9,1,2,3,6,8,5,7,4] => 10000101 => [1,4,1,1,1] => 888
[9,1,2,5,8,4,6,7,3] => 10001001 => [1,3,1,2,1] => 1576
[8,1,4,5,7,3,6,2] => 1000101 => [1,3,1,1,1] => 427
[9,1,4,8,3,5,6,7,2] => 10010001 => [1,2,1,3,1] => 1612
[9,3,8,2,4,5,6,7,1] => 10100001 => [1,1,1,4,1] => 934
[5,6,3,4,2,8,7,1] => 0101011 => [1,1,1,1,1,2] => 1023
[2,5,7,4,6,8,1,3] => 0010010 => [2,1,2,1,1] => 594
[2,5,6,4,1,3,8,7] => 0011001 => [2,2,2,1] => 357
[4,6,1,3,5,7,2,8] => 0100010 => [1,1,3,1,1] => 439
[3,2,7,5,8,1,6,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,3,6,8,5,2,1,7] => 1001110 => [1,2,3,1] => 262
[4,5,3,2,1,8,6,7] => 0111010 => [1,3,1,1,1] => 427
[3,6,5,8,1,7,4,2] => 0101011 => [1,1,1,1,1,2] => 1023
[4,1,6,8,5,2,3,7] => 1001100 => [1,2,2,2] => 363
[4,5,2,8,6,7,1,3] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,5,2,8,6,7,3,1] => 0101011 => [1,1,1,1,1,2] => 1023
[3,5,8,6,2,4,7,1] => 0011001 => [2,2,2,1] => 357
[2,5,1,6,4,8,3,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,2,4,5,8,6,1,7] => 1000110 => [1,3,2,1] => 259
[4,5,2,1,3,8,6,7] => 0110010 => [1,2,2,1,1] => 594
[4,2,3,6,8,5,1,7] => 1000110 => [1,3,2,1] => 259
[4,5,1,3,2,8,6,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,4,5,8,6,1,7,2] => 0001101 => [3,2,1,1] => 256
[3,4,5,8,6,1,2,7] => 0001100 => [3,2,2] => 153
[6,4,1,3,7,8,2,5] => 1100010 => [2,3,1,1] => 256
[6,3,1,2,5,4,8,7] => 1100101 => [2,2,1,1,1] => 582
[7,3,1,2,5,4,8,6] => 1100101 => [2,2,1,1,1] => 582
[8,2,6,4,1,3,7,5] => 1011001 => [1,1,2,2,1] => 611
[1,5,8,2,4,3,7,6] => 0010101 => [2,1,1,1,1,1] => 969
[4,3,7,8,2,6,5,1] => 1001011 => [1,2,1,1,2] => 603
[3,8,5,1,2,6,7,4] => 0110001 => [1,2,3,1] => 262
[2,4,7,8,3,6,5,1] => 0001011 => [3,1,1,2] => 259
[5,4,7,8,3,6,1,2] => 1001010 => [1,2,1,1,1,1] => 969
[6,8,1,3,2,5,7,4] => 0101001 => [1,1,1,1,2,1] => 1023
[1,4,8,5,7,2,3,6] => 0010100 => [2,1,1,1,2] => 603
[1,8,7,3,2,4,5,6] => 0111000 => [1,3,3] => 110
[8,6,2,7,3,4,1,5] => 1101010 => [2,1,1,1,1,1] => 969
[8,6,2,7,3,4,5,1] => 1101001 => [2,1,1,2,1] => 603
[5,6,3,2,8,7,1,4] => 0110110 => [1,2,1,2,1] => 603
[5,1,6,7,8,3,2,4] => 1000110 => [1,3,2,1] => 259
[1,5,6,3,7,2,4,8] => 0010100 => [2,1,1,1,2] => 603
[1,5,6,7,4,2,3,8] => 0001100 => [3,2,2] => 153
[5,1,6,7,3,4,2,8] => 1001010 => [1,2,1,1,1,1] => 969
[8,6,1,7,3,4,5,2] => 1101001 => [2,1,1,2,1] => 603
[6,8,5,1,7,4,2,3] => 0110110 => [1,2,1,2,1] => 603
[8,4,2,3,5,7,6,1] => 1100011 => [2,3,2] => 153
[4,8,5,2,3,1,6,7] => 0110100 => [1,2,1,1,2] => 603
[5,4,8,3,1,2,6,7] => 1011000 => [1,1,2,3] => 265
[8,4,7,3,2,5,6,1] => 1011001 => [1,1,2,2,1] => 611
[6,8,5,1,7,3,4,2] => 0110101 => [1,2,1,1,1,1] => 969
[6,2,7,3,8,1,4,5] => 1010100 => [1,1,1,1,1,2] => 1023
[8,4,2,6,7,1,5,3] => 1100101 => [2,2,1,1,1] => 582
[1,7,8,3,6,5,2,4] => 0010110 => [2,1,1,2,1] => 603
[4,6,7,5,1,8,2,3] => 0011010 => [2,2,1,1,1] => 582
[3,5,2,6,8,7,4,1] => 0100111 => [1,1,2,3] => 265
[7,3,6,8,4,1,2,5] => 1001100 => [1,2,2,2] => 363
[6,4,2,3,7,5,8,1] => 1100101 => [2,2,1,1,1] => 582
[6,3,7,5,1,2,8,4] => 1011001 => [1,1,2,2,1] => 611
[7,2,5,4,8,6,3,1] => 1010111 => [1,1,1,1,3] => 450
[6,2,3,8,7,4,5,1] => 1001101 => [1,2,2,1,1] => 594
[7,1,2,8,4,6,5,3] => 1001011 => [1,2,1,1,2] => 603
[3,5,8,1,2,7,6,4] => 0010011 => [2,1,2,2] => 363
[1,4,3,6,8,5,2,7] => 0100110 => [1,1,2,2,1] => 611
[7,6,2,8,5,3,4,1] => 1101101 => [2,1,2,1,1] => 594
[6,8,3,5,4,7,2,1] => 0101011 => [1,1,1,1,1,2] => 1023
[8,2,7,6,4,1,3,5] => 1011100 => [1,1,3,2] => 265
[8,3,7,5,1,6,2,4] => 1011010 => [1,1,2,1,1,1] => 984
[8,5,7,1,4,2,6,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,7,1,5,6,3,2,8] => 0100110 => [1,1,2,2,1] => 611
[4,5,7,1,6,3,8,2] => 0010101 => [2,1,1,1,1,1] => 969
[3,9,2,1,4,5,6,7,8] => 01100000 => [1,2,5] => 138
[4,6,5,7,2,3,8,1] => 0101001 => [1,1,1,1,2,1] => 1023
[3,6,7,2,5,8,4,1] => 0010011 => [2,1,2,2] => 363
[5,3,6,7,4,8,1,2] => 1001010 => [1,2,1,1,1,1] => 969
[4,2,7,8,3,6,5,1] => 1001011 => [1,2,1,1,2] => 603
[4,2,7,8,5,6,1,3] => 1001010 => [1,2,1,1,1,1] => 969
[5,4,3,7,8,1,6,2] => 1100101 => [2,2,1,1,1] => 582
[3,5,7,8,4,2,1,6] => 0001110 => [3,3,1] => 110
[4,6,7,3,2,8,1,5] => 0011010 => [2,2,1,1,1] => 582
[4,6,5,3,7,8,1,2] => 0110010 => [1,2,2,1,1] => 594
[5,6,2,4,7,8,3,1] => 0100011 => [1,1,3,2] => 265
[5,6,3,2,8,4,7,1] => 0110101 => [1,2,1,1,1,1] => 969
[5,6,2,8,3,4,7,1] => 0101001 => [1,1,1,1,2,1] => 1023
[3,7,4,8,1,6,5,2] => 0101011 => [1,1,1,1,1,2] => 1023
[5,2,4,8,6,7,3,1] => 1001011 => [1,2,1,1,2] => 603
[5,2,6,4,8,7,3,1] => 1010111 => [1,1,1,1,3] => 450
[2,4,7,8,6,5,1,3] => 0001110 => [3,3,1] => 110
[3,4,5,6,8,9,1,7,2] => 00000101 => [5,1,1,1] => 240
[3,4,6,7,8,9,1,5,2] => 00000101 => [5,1,1,1] => 240
[3,5,6,7,8,9,1,4,2] => 00000101 => [5,1,1,1] => 240
[4,5,6,7,8,9,1,3,2] => 00000101 => [5,1,1,1] => 240
[5,2,6,7,8,1,4,3] => 1000101 => [1,3,1,1,1] => 427
[4,8,2,7,5,3,1,6] => 0101110 => [1,1,1,3,1] => 450
[1,2,4,6,5,8,3,7] => 0001010 => [3,1,1,1,1] => 427
[5,4,2,3,1,7,8,6] => 1101001 => [2,1,1,2,1] => 603
[3,5,8,1,7,4,2,6] => 0010110 => [2,1,1,2,1] => 603
[5,8,6,1,7,2,3,4] => 0110100 => [1,2,1,1,2] => 603
[5,1,4,3,8,2,6,7] => 1010100 => [1,1,1,1,1,2] => 1023
[8,4,7,5,6,2,1,3] => 1010110 => [1,1,1,1,2,1] => 1023
[3,8,6,7,5,2,4,1] => 0101101 => [1,1,1,2,1,1] => 1006
[8,2,5,4,7,3,6,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,2,8,7,3,6,5,1] => 1011011 => [1,1,2,1,2] => 611
[3,7,8,6,1,4,5,2] => 0011001 => [2,2,2,1] => 357
[4,6,7,8,2,1,5,3] => 0001101 => [3,2,1,1] => 256
[4,7,6,3,8,1,5,2] => 0110101 => [1,2,1,1,1,1] => 969
[3,8,1,4,6,2,5,7] => 0100100 => [1,1,2,1,2] => 611
[2,4,5,3,8,7,1,6] => 0010110 => [2,1,1,2,1] => 603
[4,7,5,6,2,8,1,3] => 0101010 => [1,1,1,1,1,1,1] => 1623
[8,7,5,1,6,3,2,4] => 1110110 => [3,1,2,1] => 259
[7,8,6,2,3,5,1,4] => 0110010 => [1,2,2,1,1] => 594
[2,8,4,6,7,3,5,1] => 0100101 => [1,1,2,1,1,1] => 984
[4,1,6,7,8,2,5,3] => 1000101 => [1,3,1,1,1] => 427
[8,6,3,4,1,2,7,5] => 1101001 => [2,1,1,2,1] => 603
[2,5,8,4,6,1,3,7] => 0010100 => [2,1,1,1,2] => 603
[4,7,8,6,5,1,3,2] => 0011101 => [2,3,1,1] => 256
[8,4,6,7,3,5,2,1] => 1001011 => [1,2,1,1,2] => 603
[6,8,4,7,3,5,2,1] => 0101011 => [1,1,1,1,1,2] => 1023
[7,4,5,8,3,6,2,1] => 1001011 => [1,2,1,1,2] => 603
[8,4,7,3,5,6,2,1] => 1010011 => [1,1,1,2,2] => 622
[3,6,4,2,8,1,7,5] => 0110101 => [1,2,1,1,1,1] => 969
[8,4,6,2,1,7,3,5] => 1011010 => [1,1,2,1,1,1] => 984
[3,8,6,2,1,7,4,5] => 0111010 => [1,3,1,1,1] => 427
[3,1,8,2,4,6,5,7] => 1010010 => [1,1,1,2,1,1] => 1006
[8,1,7,6,2,5,4,3] => 1011011 => [1,1,2,1,2] => 611
[8,5,4,3,7,6,1,2] => 1110110 => [3,1,2,1] => 259
[4,8,1,3,6,7,5,2] => 0100011 => [1,1,3,2] => 265
[3,5,8,6,1,7,4,2] => 0011011 => [2,2,1,2] => 357
[8,1,4,7,5,2,6,3] => 1001101 => [1,2,2,1,1] => 594
[1,4,8,6,7,3,5,2] => 0010101 => [2,1,1,1,1,1] => 969
[4,1,6,7,8,5,3,2] => 1000111 => [1,3,3] => 110
[3,7,8,6,4,1,5,2] => 0011101 => [2,3,1,1] => 256
[5,4,2,3,6,7,8,9,1] => 11000001 => [2,5,1] => 138
[6,5,4,2,3,7,8,9,1] => 11100001 => [3,4,1] => 220
[7,6,5,4,2,3,8,9,1] => 11110001 => [4,3,1] => 220
[4,6,1,5,7,2,3,8] => 0100100 => [1,1,2,1,2] => 611
[4,8,5,3,2,7,1,6] => 0111010 => [1,3,1,1,1] => 427
[5,4,8,1,3,7,2,6] => 1010010 => [1,1,1,2,1,1] => 1006
[8,4,5,3,1,7,2,6] => 1011010 => [1,1,2,1,1,1] => 984
[7,4,5,3,1,8,6,2] => 1011011 => [1,1,2,1,2] => 611
[5,6,8,7,2,4,3,1] => 0011011 => [2,2,1,2] => 357
[5,7,8,6,4,2,3,1] => 0011101 => [2,3,1,1] => 256
[6,8,7,5,1,3,2,4] => 0111010 => [1,3,1,1,1] => 427
[3,8,2,6,7,5,1,4] => 0100110 => [1,1,2,2,1] => 611
[4,7,6,3,8,2,5,1] => 0110101 => [1,2,1,1,1,1] => 969
[6,7,4,1,8,2,5,3] => 0110101 => [1,2,1,1,1,1] => 969
[5,7,6,8,3,2,4,1] => 0101101 => [1,1,1,2,1,1] => 1006
[7,6,4,2,8,1,5,3] => 1110101 => [3,1,1,1,1] => 427
[6,3,4,8,7,1,2,5] => 1001100 => [1,2,2,2] => 363
[2,7,4,8,1,6,3,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,3,1,6,7,8,2,4] => 1100010 => [2,3,1,1] => 256
[3,4,7,8,6,1,2,5] => 0001100 => [3,2,2] => 153
[2,1,4,7,8,6,3,5] => 1000110 => [1,3,2,1] => 259
[2,4,5,8,1,6,3,7] => 0001010 => [3,1,1,1,1] => 427
[3,4,6,8,2,5,7,1] => 0001001 => [3,1,2,1] => 259
[1,8,5,6,4,2,3,7] => 0101100 => [1,1,1,2,2] => 622
[1,8,7,6,2,4,5,3] => 0111001 => [1,3,2,1] => 259
[6,4,8,5,7,3,1,2] => 1010110 => [1,1,1,1,2,1] => 1023
[1,6,4,7,2,5,8,3] => 0101001 => [1,1,1,1,2,1] => 1023
[2,7,5,1,8,6,3,4] => 0110110 => [1,2,1,2,1] => 603
[4,7,1,6,5,3,8,2] => 0101101 => [1,1,1,2,1,1] => 1006
[1,7,5,6,4,8,2,3] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,4,8,5,7,3,1,6] => 0010110 => [2,1,1,2,1] => 603
[8,3,1,4,6,2,7,5] => 1100101 => [2,2,1,1,1] => 582
[7,2,6,4,5,8,1,3] => 1010010 => [1,1,1,2,1,1] => 1006
[7,2,5,4,6,8,1,3] => 1010010 => [1,1,1,2,1,1] => 1006
[4,6,7,8,9,1,2,3,5] => 00001000 => [4,1,3] => 220
[5,7,8,9,1,2,3,4,6] => 00010000 => [3,1,4] => 220
[2,7,1,5,3,8,6,4] => 0101011 => [1,1,1,1,1,2] => 1023
[3,5,7,2,8,4,1,6] => 0010110 => [2,1,1,2,1] => 603
[2,4,3,8,5,1,7,6] => 0101101 => [1,1,1,2,1,1] => 1006
[7,3,2,1,4,8,6,5] => 1110011 => [3,2,2] => 153
[2,8,3,4,1,7,6,5] => 0101011 => [1,1,1,1,1,2] => 1023
[4,7,6,8,2,5,3,1] => 0101011 => [1,1,1,1,1,2] => 1023
[2,6,7,1,4,5,8,3] => 0010001 => [2,1,3,1] => 262
[8,7,2,6,1,5,3,4] => 1101010 => [2,1,1,1,1,1] => 969
[7,1,3,8,2,6,4,5] => 1001010 => [1,2,1,1,1,1] => 969
[6,2,5,3,4,7,1,8] => 1010010 => [1,1,1,2,1,1] => 1006
[2,7,3,4,1,5,8,6] => 0101001 => [1,1,1,1,2,1] => 1023
[2,5,8,1,6,7,3,4] => 0010010 => [2,1,2,1,1] => 594
[6,2,8,3,4,5,1,7] => 1010010 => [1,1,1,2,1,1] => 1006
[7,3,4,6,8,2,1,5] => 1000110 => [1,3,2,1] => 259
[5,1,3,7,2,8,4,6] => 1001010 => [1,2,1,1,1,1] => 969
[5,2,4,6,1,7,8,3] => 1001001 => [1,2,1,2,1] => 603
[3,8,4,6,1,5,7,2] => 0101001 => [1,1,1,1,2,1] => 1023
[8,7,3,2,5,1,6,4] => 1110101 => [3,1,1,1,1] => 427
[3,6,4,1,2,5,8,7] => 0110001 => [1,2,3,1] => 262
[5,2,7,1,4,3,6,8] => 1010100 => [1,1,1,1,1,2] => 1023
[6,3,1,4,2,5,8,7] => 1101001 => [2,1,1,2,1] => 603
[5,2,3,1,4,6,8,7] => 1010001 => [1,1,1,3,1] => 450
[4,2,7,1,3,5,8,6] => 1010001 => [1,1,1,3,1] => 450
[3,5,4,1,6,2,8,7] => 0110101 => [1,2,1,1,1,1] => 969
[4,5,7,2,8,3,1,6] => 0010110 => [2,1,1,2,1] => 603
[3,5,1,7,6,2,8,4] => 0101101 => [1,1,1,2,1,1] => 1006
[8,3,6,2,7,5,4,1] => 1010111 => [1,1,1,1,3] => 450
[8,4,2,6,5,3,7,1] => 1101101 => [2,1,2,1,1] => 594
[5,4,2,7,1,8,6,3] => 1101011 => [2,1,1,1,2] => 603
[4,1,7,6,5,3,2,8] => 1011110 => [1,1,4,1] => 148
[2,3,6,7,1,8,5,4] => 0001011 => [3,1,1,2] => 259
[3,6,1,2,7,8,5,4] => 0100011 => [1,1,3,2] => 265
[4,5,1,8,7,6,3,2] => 0101111 => [1,1,1,4] => 148
[8,4,5,2,7,6,3,1] => 1010111 => [1,1,1,1,3] => 450
[4,1,3,6,7,5,2,8] => 1000110 => [1,3,2,1] => 259
[3,1,4,5,7,6,2,8] => 1000110 => [1,3,2,1] => 259
[4,5,1,3,6,8,7,2] => 0100011 => [1,1,3,2] => 265
[3,8,5,1,2,4,6,7] => 0110000 => [1,2,4] => 85
[8,5,1,2,4,3,6,7] => 1100100 => [2,2,1,2] => 357
[5,8,4,1,2,3,6,7] => 0110000 => [1,2,4] => 85
[3,5,8,1,4,2,7,6] => 0010101 => [2,1,1,1,1,1] => 969
[2,8,5,7,1,4,3,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,8,7,5,1,2,3,6] => 0111000 => [1,3,3] => 110
[8,1,2,4,6,3,7,5] => 1000101 => [1,3,1,1,1] => 427
[7,6,1,4,2,3,8,5] => 1101001 => [2,1,1,2,1] => 603
[6,1,2,7,8,4,3,5] => 1000110 => [1,3,2,1] => 259
[7,8,1,2,5,3,4,6] => 0100100 => [1,1,2,1,2] => 611
[1,8,4,7,5,2,3,6] => 0101100 => [1,1,1,2,2] => 622
[8,4,7,2,1,6,3,5] => 1011010 => [1,1,2,1,1,1] => 984
[4,5,8,2,1,6,7,3] => 0011001 => [2,2,2,1] => 357
[7,4,2,5,3,6,1,8] => 1101010 => [2,1,1,1,1,1] => 969
[3,1,6,7,5,2,4,8] => 1001100 => [1,2,2,2] => 363
[8,4,2,5,3,6,7,1] => 1101001 => [2,1,1,2,1] => 603
[4,8,1,5,3,6,7,2] => 0101001 => [1,1,1,1,2,1] => 1023
[4,1,7,5,2,6,3,8] => 1011010 => [1,1,2,1,1,1] => 984
[5,1,4,6,3,7,8,2] => 1001001 => [1,2,1,2,1] => 603
[7,1,5,3,6,8,2,4] => 1010010 => [1,1,1,2,1,1] => 1006
[8,1,5,3,6,7,2,4] => 1010010 => [1,1,1,2,1,1] => 1006
[3,6,5,2,4,7,8,1] => 0110001 => [1,2,3,1] => 262
[1,7,5,4,6,8,2,3] => 0110010 => [1,2,2,1,1] => 594
[4,7,8,2,5,6,1,3] => 0010010 => [2,1,2,1,1] => 594
[2,8,5,4,6,7,1,3] => 0110010 => [1,2,2,1,1] => 594
[7,5,1,3,2,6,4,8,9] => 11010100 => [2,1,1,1,1,2] => 3696
[9,6,1,3,4,2,7,8,5] => 11001001 => [2,2,1,2,1] => 2162
[8,3,6,1,4,2,7,5,9] => 10101010 => [1,1,1,1,1,1,1,1] => 10176
[9,8,1,7,2,3,4,5,6] => 11010000 => [2,1,1,4] => 534
[9,3,4,7,1,5,2,8,6] => 10010101 => [1,2,1,1,1,1,1] => 5976
[4,5,2,6,1,8,3,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,1,8,6,7,3,4,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,8,3,2,4,1,5,7] => 0110100 => [1,2,1,1,2] => 603
[5,4,8,2,1,3,6,7] => 1011000 => [1,1,2,3] => 265
[1,4,8,3,2,6,5,7] => 0011010 => [2,2,1,1,1] => 582
[1,3,8,4,2,7,5,6] => 0011010 => [2,2,1,1,1] => 582
[7,2,8,3,1,4,5,6] => 1011000 => [1,1,2,3] => 265
[8,1,3,2,7,5,4,6] => 1010110 => [1,1,1,1,2,1] => 1023
[8,7,5,4,6,3,2,9,1] => 11101101 => [3,1,2,1,1] => 1560
[8,7,4,6,5,3,2,9,1] => 11011101 => [2,1,3,1,1] => 1580
[2,3,4,7,8,9,6,5,1] => 00000111 => [5,3] => 56
[2,3,6,7,8,9,5,4,1] => 00000111 => [5,3] => 56
[2,5,6,7,8,9,4,3,1] => 00000111 => [5,3] => 56
[2,3,4,5,6,1,9,8,7] => 00001011 => [4,1,1,2] => 526
[2,3,4,5,1,9,8,7,6] => 00010111 => [3,1,1,3] => 676
[2,3,4,1,8,9,7,6,5] => 00100111 => [2,1,2,3] => 946
[2,3,1,7,8,9,6,5,4] => 01000111 => [1,1,3,3] => 688
[2,1,6,7,8,9,5,4,3] => 10000111 => [1,4,3] => 220
[7,6,1,8,2,5,4,3] => 1101011 => [2,1,1,1,2] => 603
[8,4,1,6,7,3,5,2] => 1100101 => [2,2,1,1,1] => 582
[5,8,4,2,1,6,3,7] => 0111010 => [1,3,1,1,1] => 427
[7,6,4,1,2,5,3,8] => 1110010 => [3,2,1,1] => 256
[5,4,2,8,1,6,3,7] => 1101010 => [2,1,1,1,1,1] => 969
[8,7,2,6,4,5,3,1] => 1101011 => [2,1,1,1,2] => 603
[7,2,8,4,3,6,1,5] => 1011010 => [1,1,2,1,1,1] => 984
[1,7,5,4,8,6,2,3] => 0110110 => [1,2,1,2,1] => 603
[4,8,6,3,5,2,1,7] => 0110110 => [1,2,1,2,1] => 603
[5,8,6,3,2,7,1,4] => 0111010 => [1,3,1,1,1] => 427
[5,7,6,3,2,4,8,1] => 0111001 => [1,3,2,1] => 259
[5,7,3,2,8,6,4,1] => 0110111 => [1,2,1,3] => 262
[4,5,1,6,8,2,7,3] => 0100101 => [1,1,2,1,1,1] => 984
[1,6,3,7,2,4,8,5] => 0101001 => [1,1,1,1,2,1] => 1023
[8,9,7,6,5,4,3,1,2] => 01111110 => [1,6,1] => 50
[8,6,7,5,4,3,2,1,9] => 10111110 => [1,1,5,1] => 244
[8,7,9,6,5,4,3,1,2] => 10111110 => [1,1,5,1] => 244
[9,7,8,6,5,4,3,1,2] => 10111110 => [1,1,5,1] => 244
[4,3,7,1,6,2,5,8] => 1010100 => [1,1,1,1,1,2] => 1023
[4,3,1,6,7,2,5,8] => 1100100 => [2,2,1,2] => 357
[6,3,1,5,7,2,4,8] => 1100100 => [2,2,1,2] => 357
[8,7,5,4,3,6,9,2,1] => 11110011 => [4,2,2] => 306
[8,7,6,9,5,3,4,2,1] => 11011011 => [2,1,2,1,2] => 2194
[8,7,9,6,5,4,2,3,1] => 10111101 => [1,1,4,1,1] => 912
[5,2,1,4,8,6,7,3] => 1100101 => [2,2,1,1,1] => 582
[4,5,2,1,3,7,6,8] => 0110010 => [1,2,2,1,1] => 594
[8,2,7,4,1,6,5,3] => 1011011 => [1,1,2,1,2] => 611
[3,2,8,4,1,6,5,7] => 1011010 => [1,1,2,1,1,1] => 984
[3,7,6,4,1,5,8,2] => 0111001 => [1,3,2,1] => 259
[7,1,8,4,2,3,6,5] => 1011001 => [1,1,2,2,1] => 611
[2,7,6,4,5,1,8,3] => 0110101 => [1,2,1,1,1,1] => 969
[4,6,8,1,7,3,5,2] => 0010101 => [2,1,1,1,1,1] => 969
[3,6,8,1,5,7,4,2] => 0010011 => [2,1,2,2] => 363
[2,8,3,1,6,7,4,5] => 0110010 => [1,2,2,1,1] => 594
[4,5,6,8,2,1,7,3] => 0001101 => [3,2,1,1] => 256
[4,5,6,8,1,3,7,2] => 0001001 => [3,1,2,1] => 259
[4,5,8,3,2,1,7,6] => 0011101 => [2,3,1,1] => 256
[4,5,1,3,2,6,7,8] => 0101000 => [1,1,1,1,3] => 450
[4,7,3,2,1,6,5,8] => 0111010 => [1,3,1,1,1] => 427
[4,7,8,3,5,1,6,2] => 0010101 => [2,1,1,1,1,1] => 969
[4,7,1,3,5,6,2,8] => 0100010 => [1,1,3,1,1] => 439
[4,8,3,2,1,6,7,5] => 0111001 => [1,3,2,1] => 259
[5,2,8,1,4,6,7,3] => 1010001 => [1,1,1,3,1] => 450
[5,6,3,7,8,1,4,2] => 0100101 => [1,1,2,1,1,1] => 984
[5,7,1,4,3,6,2,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[6,2,3,7,1,5,4,8] => 1001010 => [1,2,1,1,1,1] => 969
[6,2,8,1,5,4,7,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,1,3,4,5,2,7,8] => 1000100 => [1,3,1,2] => 259
[7,1,3,4,5,6,2,8] => 1000010 => [1,4,1,1] => 145
[7,2,5,1,3,6,4,8] => 1010010 => [1,1,1,2,1,1] => 1006
[6,5,2,7,8,4,3,1] => 1100111 => [2,2,3] => 153
[7,5,3,6,4,2,1,8] => 1101110 => [2,1,3,1] => 262
[1,3,6,7,5,2,4,8] => 0001100 => [3,2,2] => 153
[1,5,2,6,8,7,3,4] => 0100110 => [1,1,2,2,1] => 611
[3,2,1,5,6,7,8,9,4] => 11000001 => [2,5,1] => 138
[3,2,6,1,4,7,8,9,5] => 10100001 => [1,1,1,4,1] => 934
[4,3,2,1,6,7,8,9,5] => 11100001 => [3,4,1] => 220
[3,2,7,8,1,4,5,9,6] => 10010001 => [1,2,1,3,1] => 1612
[4,7,2,5,1,3,8,9,6] => 01010001 => [1,1,1,1,3,1] => 2790
[4,3,2,7,1,5,8,9,6] => 11010001 => [2,1,1,3,1] => 1612
[5,4,3,2,1,7,8,9,6] => 11110001 => [4,3,1] => 220
[4,3,2,8,9,1,5,6,7] => 11001000 => [2,2,1,3] => 934
[8,5,6,3,4,1,2,9,7] => 10101001 => [1,1,1,1,1,2,1] => 6344
[5,3,8,2,6,1,4,9,7] => 10101001 => [1,1,1,1,1,2,1] => 6344
[5,4,3,2,8,1,6,9,7] => 11101001 => [3,1,1,2,1] => 1576
[6,5,4,3,2,1,8,9,7] => 11111001 => [5,2,1] => 138
[6,9,4,7,2,5,1,3,8] => 01010100 => [1,1,1,1,1,1,2] => 6344
[6,4,3,9,2,7,1,5,8] => 11010100 => [2,1,1,1,1,2] => 3696
[6,5,4,3,2,9,1,7,8] => 11110100 => [4,1,1,2] => 526
[5,3,4,7,2,1,6,8] => 1001100 => [1,2,2,2] => 363
[7,6,9,5,4,3,2,1,8] => 10111110 => [1,1,5,1] => 244
[4,8,5,7,1,2,3,6] => 0101000 => [1,1,1,1,3] => 450
[4,2,3,7,6,1,8,5] => 1001101 => [1,2,2,1,1] => 594
[4,2,6,3,1,5,7,8] => 1011000 => [1,1,2,3] => 265
[4,6,3,2,5,8,7,1] => 0110011 => [1,2,2,2] => 363
[5,8,4,3,2,6,1,7] => 0111010 => [1,3,1,1,1] => 427
[1,5,7,4,8,6,2,3] => 0010110 => [2,1,1,2,1] => 603
[6,1,5,7,3,8,2,4] => 1001010 => [1,2,1,1,1,1] => 969
[1,2,7,8,6,4,3,5] => 0001110 => [3,3,1] => 110
[3,5,1,7,8,6,2,4] => 0100110 => [1,1,2,2,1] => 611
[5,2,4,1,7,6,8,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[2,3,4,9,6,7,8,5,1] => 00010011 => [3,1,2,2] => 936
[2,3,9,5,6,7,8,4,1] => 00100011 => [2,1,3,2] => 946
[2,9,4,5,6,7,8,3,1] => 01000011 => [1,1,4,2] => 538
[9,3,4,5,6,7,8,2,1] => 10000011 => [1,5,2] => 138
[2,3,4,1,9,7,8,6,5] => 00101011 => [2,1,1,1,1,2] => 3696
[2,3,1,9,6,7,8,5,4] => 01010011 => [1,1,1,1,2,2] => 3848
[2,1,9,5,6,7,8,4,3] => 10100011 => [1,1,1,3,2] => 1648
[1,9,4,5,6,7,8,3,2] => 01000011 => [1,1,4,2] => 538
[5,6,4,7,3,9,1,8,2] => 01010101 => [1,1,1,1,1,1,1,1] => 10176
[5,6,4,9,1,8,2,7,3] => 01010101 => [1,1,1,1,1,1,1,1] => 10176
[5,9,1,8,2,7,3,6,4] => 01010101 => [1,1,1,1,1,1,1,1] => 10176
[9,1,8,2,7,3,6,4,5] => 10101010 => [1,1,1,1,1,1,1,1] => 10176
[5,4,3,8,1,7,2,6] => 1101010 => [2,1,1,1,1,1] => 969
[5,4,9,1,8,2,7,3,6] => 10101010 => [1,1,1,1,1,1,1,1] => 10176
[5,4,6,3,9,1,8,2,7] => 10101010 => [1,1,1,1,1,1,1,1] => 10176
[5,4,6,3,7,2,9,1,8] => 10101010 => [1,1,1,1,1,1,1,1] => 10176
[5,6,4,8,2,9,1,7,3] => 01010101 => [1,1,1,1,1,1,1,1] => 10176
[5,7,3,9,1,8,2,6,4] => 01010101 => [1,1,1,1,1,1,1,1] => 10176
[6,4,9,1,8,2,7,3,5] => 10101010 => [1,1,1,1,1,1,1,1] => 10176
[4,5,9,1,8,2,7,3,6] => 00101010 => [2,1,1,1,1,1,1] => 5976
[6,4,5,3,9,1,8,2,7] => 10101010 => [1,1,1,1,1,1,1,1] => 10176
[5,4,7,3,6,2,9,1,8] => 10101010 => [1,1,1,1,1,1,1,1] => 10176
[7,3,1,5,6,8,4,2] => 1100011 => [2,3,2] => 153
[7,2,3,1,6,8,4,5] => 1010010 => [1,1,1,2,1,1] => 1006
[4,1,8,2,5,6,3,7] => 1010010 => [1,1,1,2,1,1] => 1006
[5,7,8,1,6,2,3,4] => 0010100 => [2,1,1,1,2] => 603
[1,6,4,2,7,3,8,5] => 0110101 => [1,2,1,1,1,1] => 969
[1,4,2,5,8,6,3,7] => 0100110 => [1,1,2,2,1] => 611
[4,3,2,1,8,9,7,6,5] => 11100111 => [3,2,3] => 392
[4,8,2,1,5,7,3,6] => 0110010 => [1,2,2,1,1] => 594
[5,2,7,1,6,3,4,8] => 1010100 => [1,1,1,1,1,2] => 1023
[4,8,2,5,1,6,3,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,8,1,2,4,6,3,7] => 0100010 => [1,1,3,1,1] => 439
[5,1,7,3,6,4,2,8] => 1010110 => [1,1,1,1,2,1] => 1023
[3,2,7,5,6,1,4,8] => 1010100 => [1,1,1,1,1,2] => 1023
[3,2,7,1,6,4,5,8] => 1010100 => [1,1,1,1,1,2] => 1023
[6,3,1,7,5,4,2,8] => 1101110 => [2,1,3,1] => 262
[9,8,3,4,5,6,7,1,2] => 11000010 => [2,4,1,1] => 522
[9,8,2,3,4,5,6,1,7] => 11000010 => [2,4,1,1] => 522
[6,2,8,7,3,4,5,1] => 1011001 => [1,1,2,2,1] => 611
[9,4,5,6,7,8,2,1,3] => 10000110 => [1,4,2,1] => 526
[9,3,4,5,6,7,2,1,8] => 10000110 => [1,4,2,1] => 526
[7,2,9,8,3,4,5,6,1] => 10110001 => [1,1,2,3,1] => 1626
[9,8,2,3,4,5,1,6,7] => 11000100 => [2,3,1,2] => 924
[7,3,4,8,5,6,2,1] => 1001011 => [1,2,1,1,2] => 603
[9,5,6,7,8,2,1,3,4] => 10001100 => [1,3,2,2] => 936
[7,3,6,8,4,5,2,1] => 1001011 => [1,2,1,1,2] => 603
[8,3,9,4,5,6,7,2,1] => 10100011 => [1,1,1,3,2] => 1648
[9,3,4,5,6,2,1,7,8] => 10001100 => [1,3,2,2] => 936
[5,6,2,8,3,1,7,4] => 0101101 => [1,1,1,2,1,1] => 1006
[1,4,7,5,6,2,8,3] => 0010101 => [2,1,1,1,1,1] => 969
[1,7,4,8,3,5,6,2] => 0101001 => [1,1,1,1,2,1] => 1023
[5,3,1,4,8,6,2,7] => 1100110 => [2,2,2,1] => 357
[5,2,4,8,3,1,6,7] => 1001100 => [1,2,2,2] => 363
[7,4,5,1,8,6,2,3] => 1010110 => [1,1,1,1,2,1] => 1023
[8,1,5,7,6,3,2,4] => 1001110 => [1,2,3,1] => 262
[1,8,6,7,5,3,2,4] => 0101110 => [1,1,1,3,1] => 450
[7,4,8,3,1,6,5,2] => 1011011 => [1,1,2,1,2] => 611
[8,1,5,3,7,6,2,4] => 1010110 => [1,1,1,1,2,1] => 1023
[6,4,8,7,3,5,1,2] => 1011010 => [1,1,2,1,1,1] => 984
[6,1,4,2,3,5,7,8] => 1010000 => [1,1,1,4] => 148
[7,1,4,3,8,6,5,2] => 1010111 => [1,1,1,1,3] => 450
[6,1,5,7,2,8,3,4] => 1001010 => [1,2,1,1,1,1] => 969
[1,8,2,6,7,4,3,5] => 0100110 => [1,1,2,2,1] => 611
[1,6,2,7,3,8,4,9,5] => 01010101 => [1,1,1,1,1,1,1,1] => 10176
[7,2,4,1,8,5,3,6] => 1010110 => [1,1,1,1,2,1] => 1023
[4,7,2,6,1,8,3,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[8,7,3,5,2,1,6,4] => 1101101 => [2,1,2,1,1] => 594
[7,5,3,2,1,6,8,4] => 1111001 => [4,2,1] => 85
[6,8,1,3,4,2,5,7] => 0100100 => [1,1,2,1,2] => 611
[3,6,1,4,7,8,2,5] => 0100010 => [1,1,3,1,1] => 439
[2,5,7,1,3,6,4,8] => 0010010 => [2,1,2,1,1] => 594
[1,4,7,2,5,3,6,8] => 0010100 => [2,1,1,1,2] => 603
[4,5,3,1,2,6,8,7] => 0110001 => [1,2,3,1] => 262
[4,5,1,3,8,2,6,7] => 0100100 => [1,1,2,1,2] => 611
[4,1,5,3,2,7,6,8] => 1011010 => [1,1,2,1,1,1] => 984
[7,3,5,1,4,2,6,8] => 1010100 => [1,1,1,1,1,2] => 1023
[6,2,1,7,4,3,8,5] => 1101101 => [2,1,2,1,1] => 594
[2,4,3,6,7,1,5,8] => 0100100 => [1,1,2,1,2] => 611
[7,3,5,2,1,6,4,8] => 1011010 => [1,1,2,1,1,1] => 984
[4,6,5,2,1,3,7,8] => 0111000 => [1,3,3] => 110
[2,5,6,1,4,3,7,8] => 0010100 => [2,1,1,1,2] => 603
[6,1,5,3,7,2,4,8] => 1010100 => [1,1,1,1,1,2] => 1023
[3,6,5,4,1,7,2,8] => 0111010 => [1,3,1,1,1] => 427
[6,7,1,9,2,3,4,5,8] => 01010000 => [1,1,1,1,4] => 934
[6,1,8,9,2,3,4,5,7] => 10010000 => [1,2,1,4] => 534
[6,8,7,5,4,2,1,3] => 0111110 => [1,5,1] => 37
[1,6,8,7,3,2,4,5] => 0011100 => [2,3,2] => 153
[8,7,5,4,6,1,3,2] => 1110101 => [3,1,1,1,1] => 427
[1,7,8,2,4,6,3,5] => 0010010 => [2,1,2,1,1] => 594
[7,5,4,8,1,3,6,2] => 1101001 => [2,1,1,2,1] => 603
[5,6,1,8,4,3,7,2] => 0101101 => [1,1,1,2,1,1] => 1006
[1,8,2,6,7,5,4,3] => 0100111 => [1,1,2,3] => 265
[2,7,5,1,6,8,3,4] => 0110010 => [1,2,2,1,1] => 594
[8,5,4,2,7,3,6,1] => 1110101 => [3,1,1,1,1] => 427
[3,8,6,1,2,4,5,7] => 0110000 => [1,2,4] => 85
[1,8,5,3,2,7,4,6] => 0111010 => [1,3,1,1,1] => 427
[1,8,4,7,2,3,5,6] => 0101000 => [1,1,1,1,3] => 450
[3,2,8,1,7,5,4,6] => 1010110 => [1,1,1,1,2,1] => 1023
[3,4,5,6,2,1,7,8,9] => 00011000 => [3,2,3] => 392
[3,4,5,2,1,6,7,8,9] => 00110000 => [2,2,4] => 306
[7,1,5,6,2,3,4,8] => 1001000 => [1,2,1,3] => 262
[6,5,1,7,2,3,4,8] => 1101000 => [2,1,1,3] => 262
[1,6,8,2,7,3,4,5] => 0010100 => [2,1,1,1,2] => 603
[1,6,8,7,3,4,2,5] => 0011010 => [2,2,1,1,1] => 582
[4,1,3,6,7,8,5,2] => 1000011 => [1,4,2] => 85
[7,4,1,5,6,8,3,2] => 1100011 => [2,3,2] => 153
[4,1,2,6,7,8,5,3] => 1000011 => [1,4,2] => 85
[3,4,5,8,9,1,2,6,7] => 00001000 => [4,1,3] => 220
[3,4,7,8,9,1,2,5,6] => 00001000 => [4,1,3] => 220
[3,6,7,8,9,1,2,4,5] => 00001000 => [4,1,3] => 220
[3,4,5,6,1,7,2,8,9] => 00010100 => [3,1,1,1,2] => 1576
[3,4,5,1,6,2,7,8,9] => 00101000 => [2,1,1,1,3] => 1612
[3,4,1,5,9,2,6,7,8] => 01001000 => [1,1,2,1,3] => 1626
[1,3,7,8,9,2,4,5,6] => 00001000 => [4,1,3] => 220
[2,6,7,8,9,1,3,4,5] => 00001000 => [4,1,3] => 220
[6,3,7,1,8,2,4,5] => 1010100 => [1,1,1,1,1,2] => 1023
[3,7,8,1,5,2,6,4] => 0010101 => [2,1,1,1,1,1] => 969
[1,5,4,7,8,3,6,2] => 0100101 => [1,1,2,1,1,1] => 984
[5,1,4,7,8,3,6,2] => 1000101 => [1,3,1,1,1] => 427
[4,8,1,5,6,2,3,7] => 0100100 => [1,1,2,1,2] => 611
[5,6,4,1,7,3,8,2] => 0110101 => [1,2,1,1,1,1] => 969
[4,3,7,8,2,5,1,6] => 1001010 => [1,2,1,1,1,1] => 969
[3,7,8,5,4,2,1,6] => 0011110 => [2,4,1] => 85
[1,7,4,5,6,8,3,2] => 0100011 => [1,1,3,2] => 265
[7,2,4,5,6,8,3,1] => 1000011 => [1,4,2] => 85
[2,7,4,5,6,8,3,1] => 0100011 => [1,1,3,2] => 265
[2,4,7,8,3,1,6,5] => 0001101 => [3,2,1,1] => 256
[5,4,3,6,8,1,7,2] => 1100101 => [2,2,1,1,1] => 582
[3,7,4,5,8,1,6,2] => 0100101 => [1,1,2,1,1,1] => 984
[1,4,3,5,6,8,2,7] => 0100010 => [1,1,3,1,1] => 439
[1,4,6,5,8,2,7,3] => 0010101 => [2,1,1,1,1,1] => 969
[4,6,1,7,3,2,8,5] => 0101101 => [1,1,1,2,1,1] => 1006
[1,7,3,6,4,2,8,5] => 0101101 => [1,1,1,2,1,1] => 1006
[4,7,3,5,1,2,8,6] => 0101001 => [1,1,1,1,2,1] => 1023
[1,6,4,2,3,5,8,7] => 0110001 => [1,2,3,1] => 262
[4,8,3,5,2,1,6,7] => 0101100 => [1,1,1,2,2] => 622
[1,6,8,4,7,5,3,2] => 0010111 => [2,1,1,3] => 262
[8,7,3,1,5,2,6,4] => 1110101 => [3,1,1,1,1] => 427
[4,7,1,6,8,2,3,5] => 0100100 => [1,1,2,1,2] => 611
[4,6,5,8,2,3,7,1] => 0101001 => [1,1,1,1,2,1] => 1023
[7,1,8,2,4,5,3,6] => 1010010 => [1,1,1,2,1,1] => 1006
[5,7,8,2,3,4,1,6] => 0010010 => [2,1,2,1,1] => 594
[5,2,3,8,7,1,4,6] => 1001100 => [1,2,2,2] => 363
[8,7,1,3,2,6,4,5] => 1101010 => [2,1,1,1,1,1] => 969
[2,7,6,4,8,3,1,5] => 0110110 => [1,2,1,2,1] => 603
[2,6,3,7,5,8,4,1] => 0101011 => [1,1,1,1,1,2] => 1023
[7,5,1,2,3,8,4,6] => 1100010 => [2,3,1,1] => 256
[4,3,5,2,6,1,7,8,9] => 10101000 => [1,1,1,1,1,3] => 2790
[4,5,3,6,2,7,1,8,9] => 01010100 => [1,1,1,1,1,1,2] => 6344
[8,6,2,1,3,7,4,5] => 1110010 => [3,2,1,1] => 256
[4,2,3,6,8,5,7,1] => 1000101 => [1,3,1,1,1] => 427
[4,7,3,2,6,5,1,8] => 0110110 => [1,2,1,2,1] => 603
[4,3,7,8,2,1,6,5] => 1001101 => [1,2,2,1,1] => 594
[4,8,7,2,1,5,6,3] => 0111001 => [1,3,2,1] => 259
[7,3,8,2,5,1,6,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,5,3,8,6,1,2,7] => 0101100 => [1,1,1,2,2] => 622
[6,3,5,8,4,1,2,7] => 1001100 => [1,2,2,2] => 363
[7,3,8,4,5,1,2,6] => 1010100 => [1,1,1,1,1,2] => 1023
[4,8,7,5,1,2,6,3] => 0111001 => [1,3,2,1] => 259
[7,8,4,6,1,3,5,2] => 0101001 => [1,1,1,1,2,1] => 1023
[4,8,7,5,1,3,6,2] => 0111001 => [1,3,2,1] => 259
[4,5,3,6,8,1,2,7] => 0100100 => [1,1,2,1,2] => 611
[7,8,6,2,1,4,3,5] => 0111010 => [1,3,1,1,1] => 427
[7,8,6,3,1,2,5,4] => 0111001 => [1,3,2,1] => 259
[3,7,6,4,1,5,2,8] => 0111010 => [1,3,1,1,1] => 427
[5,2,8,4,7,1,3,6] => 1010100 => [1,1,1,1,1,2] => 1023
[7,3,1,2,8,6,5,4] => 1100111 => [2,2,3] => 153
[8,7,1,3,2,4,5,6] => 1101000 => [2,1,1,3] => 262
[4,1,3,6,5,7,2,8] => 1001010 => [1,2,1,1,1,1] => 969
[4,1,3,5,7,2,8,6] => 1000101 => [1,3,1,1,1] => 427
[5,1,8,2,4,6,3,7] => 1010010 => [1,1,1,2,1,1] => 1006
[6,8,2,1,4,5,3,7] => 0110010 => [1,2,2,1,1] => 594
[4,2,7,3,6,8,5,1] => 1010011 => [1,1,1,2,2] => 622
[3,1,5,8,6,7,2,4] => 1001010 => [1,2,1,1,1,1] => 969
[6,8,2,1,4,5,7,3] => 0110001 => [1,2,3,1] => 262
[1,5,4,8,7,3,2,6] => 0101110 => [1,1,1,3,1] => 450
[4,3,1,2,6,5,7,8] => 1100100 => [2,2,1,2] => 357
[7,1,4,5,8,3,6,2] => 1000101 => [1,3,1,1,1] => 427
[7,5,8,1,2,4,6,3] => 1010001 => [1,1,1,3,1] => 450
[6,1,5,2,8,7,4,3] => 1010111 => [1,1,1,1,3] => 450
[8,4,6,3,1,2,7,5] => 1011001 => [1,1,2,2,1] => 611
[3,8,6,4,1,5,7,2] => 0111001 => [1,3,2,1] => 259
[8,7,1,4,5,2,3,6] => 1100100 => [2,2,1,2] => 357
[3,8,6,4,5,1,7,2] => 0110101 => [1,2,1,1,1,1] => 969
[3,7,6,4,5,1,2,8] => 0110100 => [1,2,1,1,2] => 603
[7,4,6,3,1,2,8,5] => 1011001 => [1,1,2,2,1] => 611
[4,6,2,5,7,8,1,3] => 0100010 => [1,1,3,1,1] => 439
[4,6,3,5,7,1,2,8] => 0100100 => [1,1,2,1,2] => 611
[4,7,3,5,8,6,1,2] => 0100110 => [1,1,2,2,1] => 611
[4,8,3,5,7,1,6,2] => 0100101 => [1,1,2,1,1,1] => 984
[4,8,3,5,6,1,2,7] => 0100100 => [1,1,2,1,2] => 611
[4,7,2,5,6,8,1,3] => 0100010 => [1,1,3,1,1] => 439
[4,8,2,5,6,7,1,3] => 0100010 => [1,1,3,1,1] => 439
[1,4,7,2,6,5,8,3] => 0010101 => [2,1,1,1,1,1] => 969
[1,5,7,2,6,4,8,3] => 0010101 => [2,1,1,1,1,1] => 969
[7,2,4,6,1,8,3,5] => 1001010 => [1,2,1,1,1,1] => 969
[1,2,7,8,3,5,4,6] => 0001010 => [3,1,1,1,1] => 427
[1,7,6,2,8,5,4,3] => 0110111 => [1,2,1,3] => 262
[1,2,7,8,3,4,6,5] => 0001001 => [3,1,2,1] => 259
[1,7,6,8,3,4,2,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,4,1,7,8,6,5,2] => 0100111 => [1,1,2,3] => 265
[2,4,8,6,5,7,1,3] => 0011010 => [2,2,1,1,1] => 582
[5,1,3,4,8,2,7,6] => 1000101 => [1,3,1,1,1] => 427
[8,7,3,6,1,4,2,5] => 1101010 => [2,1,1,1,1,1] => 969
[6,5,1,8,3,4,7,2] => 1101001 => [2,1,1,2,1] => 603
[8,2,1,5,6,4,7,3] => 1100101 => [2,2,1,1,1] => 582
[7,5,6,1,3,4,8,2] => 1010001 => [1,1,1,3,1] => 450
[5,7,2,4,6,1,8,3] => 0100101 => [1,1,2,1,1,1] => 984
[2,1,5,6,3,8,7,4] => 1001011 => [1,2,1,1,2] => 603
[3,2,7,5,8,6,4,1] => 1010111 => [1,1,1,1,3] => 450
[2,4,5,3,8,1,7,6] => 0010101 => [2,1,1,1,1,1] => 969
[7,2,5,4,3,8,6,1] => 1011011 => [1,1,2,1,2] => 611
[8,5,3,1,2,6,7,4] => 1110001 => [3,3,1] => 110
[7,2,5,1,3,6,8,4] => 1010001 => [1,1,1,3,1] => 450
[8,4,7,3,1,2,6,5] => 1011001 => [1,1,2,2,1] => 611
[1,8,7,3,5,2,6,4] => 0110101 => [1,2,1,1,1,1] => 969
[2,4,8,3,6,5,7,1] => 0010101 => [2,1,1,1,1,1] => 969
[3,1,8,2,6,5,7,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,6,7,8,5,2,1,3] => 0001110 => [3,3,1] => 110
[4,7,2,1,8,6,5,3] => 0110111 => [1,2,1,3] => 262
[5,6,2,8,4,1,7,3] => 0101101 => [1,1,1,2,1,1] => 1006
[5,7,2,4,8,6,1,3] => 0100110 => [1,1,2,2,1] => 611
[6,7,2,4,8,5,1,3] => 0100110 => [1,1,2,2,1] => 611
[6,7,3,2,8,5,1,4] => 0110110 => [1,2,1,2,1] => 603
[7,2,3,1,8,6,5,4] => 1010111 => [1,1,1,1,3] => 450
[7,2,8,3,5,6,1,4] => 1010010 => [1,1,1,2,1,1] => 1006
[7,2,3,8,4,6,1,5] => 1001010 => [1,2,1,1,1,1] => 969
[1,7,3,4,8,5,2,6] => 0100110 => [1,1,2,2,1] => 611
[1,7,3,8,5,4,2,6] => 0101110 => [1,1,1,3,1] => 450
[7,2,8,4,5,3,1,6] => 1010110 => [1,1,1,1,2,1] => 1023
[2,8,6,4,3,1,7,5] => 0111101 => [1,4,1,1] => 145
[1,7,3,4,8,2,5,6] => 0100100 => [1,1,2,1,2] => 611
[1,5,8,3,4,6,2,7] => 0010010 => [2,1,2,1,1] => 594
[1,3,8,4,2,5,7,6] => 0011001 => [2,2,2,1] => 357
[1,4,7,6,2,3,8,5] => 0011001 => [2,2,2,1] => 357
[1,8,4,6,7,2,3,5] => 0100100 => [1,1,2,1,2] => 611
[1,4,2,3,7,8,6,5] => 0100011 => [1,1,3,2] => 265
[5,7,1,6,4,8,3,2] => 0101011 => [1,1,1,1,1,2] => 1023
[7,4,5,8,1,3,6,2] => 1001001 => [1,2,1,2,1] => 603
[1,4,3,6,2,5,8,7] => 0101001 => [1,1,1,1,2,1] => 1023
[1,4,6,3,2,5,8,7] => 0011001 => [2,2,2,1] => 357
[1,3,6,5,8,2,4,7] => 0010100 => [2,1,1,1,2] => 603
[1,4,6,3,2,8,5,7] => 0011010 => [2,2,1,1,1] => 582
[6,8,4,1,5,7,2,3] => 0110010 => [1,2,2,1,1] => 594
[5,2,6,7,4,1,8,3] => 1001101 => [1,2,2,1,1] => 594
[8,5,6,4,1,7,3,2] => 1011011 => [1,1,2,1,2] => 611
[7,8,3,1,6,4,5,2] => 0110101 => [1,2,1,1,1,1] => 969
[5,8,2,6,3,1,7,4] => 0101101 => [1,1,1,2,1,1] => 1006
[4,5,8,1,6,3,7,2] => 0010101 => [2,1,1,1,1,1] => 969
[8,1,4,6,2,5,7,3] => 1001001 => [1,2,1,2,1] => 603
[4,5,8,1,6,2,7,3] => 0010101 => [2,1,1,1,1,1] => 969
[5,2,6,8,1,4,3,7] => 1001010 => [1,2,1,1,1,1] => 969
[6,7,3,8,2,1,4,5] => 0101100 => [1,1,1,2,2] => 622
[2,7,3,5,4,1,8,6] => 0101101 => [1,1,1,2,1,1] => 1006
[2,6,3,7,4,1,8,5] => 0101101 => [1,1,1,2,1,1] => 1006
[2,1,4,8,5,3,7,6] => 1001101 => [1,2,2,1,1] => 594
[2,7,3,8,4,1,6,5] => 0101101 => [1,1,1,2,1,1] => 1006
[2,6,3,1,5,4,8,7] => 0110101 => [1,2,1,1,1,1] => 969
[1,5,8,3,4,7,2,6] => 0010010 => [2,1,2,1,1] => 594
[5,3,8,1,4,6,2,7] => 1010010 => [1,1,1,2,1,1] => 1006
[4,5,8,1,3,6,2,7] => 0010010 => [2,1,2,1,1] => 594
[7,4,6,5,2,8,3,1] => 1011011 => [1,1,2,1,2] => 611
[4,1,3,8,5,7,6,2] => 1001011 => [1,2,1,1,2] => 603
[4,1,3,7,2,8,6,5] => 1001011 => [1,2,1,1,2] => 603
[4,6,3,1,7,2,8,5] => 0110101 => [1,2,1,1,1,1] => 969
[7,2,6,3,1,8,5,4] => 1011011 => [1,1,2,1,2] => 611
[4,8,7,2,5,3,1,6] => 0110110 => [1,2,1,2,1] => 603
[1,6,3,2,8,7,4,5] => 0110110 => [1,2,1,2,1] => 603
[2,8,1,7,5,4,6,3] => 0101101 => [1,1,1,2,1,1] => 1006
[6,8,3,1,5,7,2,4] => 0110010 => [1,2,2,1,1] => 594
[8,7,3,1,2,5,6,4] => 1110001 => [3,3,1] => 110
[1,3,5,7,2,8,4,9,6] => 00010101 => [3,1,1,1,1,1] => 2592
[1,3,5,6,2,7,4,9,8] => 00010101 => [3,1,1,1,1,1] => 2592
[1,3,4,5,2,7,6,9,8] => 00010101 => [3,1,1,1,1,1] => 2592
[3,5,7,1,2,4,6,9,8] => 00100001 => [2,1,4,1] => 534
[3,5,7,8,1,9,2,4,6] => 00010100 => [3,1,1,1,2] => 1576
[3,5,6,7,1,8,2,9,4] => 00010101 => [3,1,1,1,1,1] => 2592
[5,4,3,6,1,7,8,2] => 1101001 => [2,1,1,2,1] => 603
[3,2,7,8,5,6,1,4] => 1001010 => [1,2,1,1,1,1] => 969
[4,8,3,2,1,7,5,6] => 0111010 => [1,3,1,1,1] => 427
[5,1,2,6,4,7,8,3] => 1001001 => [1,2,1,2,1] => 603
[7,1,2,3,4,9,6,8,5] => 10000101 => [1,4,1,1,1] => 888
[7,1,2,3,4,8,6,9,5] => 10000101 => [1,4,1,1,1] => 888
[8,1,2,3,9,5,6,7,4] => 10001001 => [1,3,1,2,1] => 1576
[7,1,2,3,9,5,6,8,4] => 10001001 => [1,3,1,2,1] => 1576
[7,1,2,3,8,5,6,9,4] => 10001001 => [1,3,1,2,1] => 1576
[6,1,2,3,8,5,9,7,4] => 10001011 => [1,3,1,1,2] => 1576
[6,1,2,3,7,5,8,9,4] => 10001001 => [1,3,1,2,1] => 1576
[6,1,2,8,4,5,9,7,3] => 10010011 => [1,2,1,2,2] => 2226
[6,1,2,7,4,5,8,9,3] => 10010001 => [1,2,1,3,1] => 1612
[5,1,2,7,4,9,6,8,3] => 10010101 => [1,2,1,1,1,1,1] => 5976
[5,1,2,7,4,8,6,9,3] => 10010101 => [1,2,1,1,1,1,1] => 5976
[5,1,2,6,4,7,8,9,3] => 10010001 => [1,2,1,3,1] => 1612
[4,1,6,3,8,5,9,7,2] => 10101011 => [1,1,1,1,1,1,2] => 6344
[4,1,6,3,7,5,8,9,2] => 10101001 => [1,1,1,1,1,2,1] => 6344
[4,1,5,3,6,7,8,9,2] => 10100001 => [1,1,1,4,1] => 934
[1,9,8,7,6,4,3,2,5] => 01111110 => [1,6,1] => 50
[1,9,8,7,5,4,3,2,6] => 01111110 => [1,6,1] => 50
[1,9,8,6,5,4,3,2,7] => 01111110 => [1,6,1] => 50
[1,9,7,6,5,4,3,2,8] => 01111110 => [1,6,1] => 50
[1,9,8,7,6,5,2,3,4] => 01111100 => [1,5,2] => 138
[1,9,8,7,6,3,4,2,5] => 01111010 => [1,4,1,1,1] => 888
[1,9,8,7,4,5,3,2,6] => 01110110 => [1,3,1,2,1] => 1576
[1,9,8,5,6,4,3,2,7] => 01101110 => [1,2,1,3,1] => 1612
[1,8,4,5,6,3,2,7] => 0100110 => [1,1,2,2,1] => 611
[1,9,6,7,5,4,3,2,8] => 01011110 => [1,1,1,4,1] => 934
[1,7,8,6,5,4,3,2,9] => 00111110 => [2,5,1] => 138
[8,5,1,7,4,6,3,2] => 1101011 => [2,1,1,1,2] => 603
[3,4,8,1,6,7,2,5] => 0010010 => [2,1,2,1,1] => 594
[3,6,7,8,4,1,5,2] => 0001101 => [3,2,1,1] => 256
[2,3,7,8,4,6,1,5] => 0001010 => [3,1,1,1,1] => 427
[1,3,7,8,4,6,2,5] => 0001010 => [3,1,1,1,1] => 427
[3,1,7,8,4,6,2,5] => 1001010 => [1,2,1,1,1,1] => 969
[4,3,8,1,6,7,2,5] => 1010010 => [1,1,1,2,1,1] => 1006
[4,8,7,3,6,1,2,5] => 0110100 => [1,2,1,1,2] => 603
[5,8,4,3,7,1,2,6] => 0110100 => [1,2,1,1,2] => 603
[4,1,8,3,7,5,2,6] => 1010110 => [1,1,1,1,2,1] => 1023
[2,4,8,3,6,7,1,5] => 0010010 => [2,1,2,1,1] => 594
[1,6,5,8,7,3,2,4] => 0101110 => [1,1,1,3,1] => 450
[5,6,4,8,7,2,1,3] => 0101110 => [1,1,1,3,1] => 450
[7,2,6,8,3,5,1,4] => 1001010 => [1,2,1,1,1,1] => 969
[7,2,8,6,5,3,1,4] => 1011110 => [1,1,4,1] => 148
[4,8,3,7,6,1,2,5] => 0101100 => [1,1,1,2,2] => 622
[2,8,4,7,1,3,6,5] => 0101001 => [1,1,1,1,2,1] => 1023
[8,9,2,3,4,5,6,1,7] => 01000010 => [1,1,4,1,1] => 912
[7,8,9,2,3,4,5,1,6] => 00100010 => [2,1,3,1,1] => 1580
[6,7,8,9,2,3,4,1,5] => 00010010 => [3,1,2,1,1] => 1560
[5,6,7,8,9,2,3,1,4] => 00001010 => [4,1,1,1,1] => 888
[7,8,9,2,3,4,1,5,6] => 00100100 => [2,1,2,1,2] => 2194
[6,7,8,9,2,3,1,4,5] => 00010100 => [3,1,1,1,2] => 1576
[4,5,6,7,8,1,9,2,3] => 00001010 => [4,1,1,1,1] => 888
[6,8,3,4,5,2,1,7] => 0100110 => [1,1,2,2,1] => 611
[3,7,1,4,5,6,2,8] => 0100010 => [1,1,3,1,1] => 439
[7,9,3,4,5,6,2,1,8] => 01000110 => [1,1,3,2,1] => 1608
[3,9,2,1,5,6,7,8,4] => 01100001 => [1,2,4,1] => 534
[3,6,1,4,5,2,7,8] => 0100100 => [1,1,2,1,2] => 611
[3,8,1,4,5,6,7,2,9] => 01000010 => [1,1,4,1,1] => 912
[6,9,3,4,5,2,7,1,8] => 01001010 => [1,1,2,1,1,1,1] => 6040
[3,8,2,4,5,1,7,6] => 0100101 => [1,1,2,1,1,1] => 984
[3,9,2,4,1,6,7,8,5] => 01010001 => [1,1,1,1,3,1] => 2790
[3,7,2,1,5,6,4,8] => 0110010 => [1,2,2,1,1] => 594
[3,6,8,1,5,4,7,2] => 0010101 => [2,1,1,1,1,1] => 969
[3,8,9,1,5,6,7,4,2] => 00100011 => [2,1,3,2] => 946
[3,7,1,4,5,6,2,8,9] => 01000100 => [1,1,3,1,2] => 1608
[1,7,4,6,3,5,2,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,3,6,5,7,2,4,8] => 0010100 => [2,1,1,1,2] => 603
[1,7,2,5,6,4,3,8] => 0100110 => [1,1,2,2,1] => 611
[1,6,8,5,4,3,7,2] => 0011101 => [2,3,1,1] => 256
[2,5,7,8,4,3,1,6] => 0001110 => [3,3,1] => 110
[6,8,5,3,2,4,1,7] => 0111010 => [1,3,1,1,1] => 427
[1,6,8,5,3,2,7,4] => 0011101 => [2,3,1,1] => 256
[4,6,1,8,7,5,3,2] => 0101111 => [1,1,1,4] => 148
[1,3,7,6,8,5,2,4] => 0010110 => [2,1,1,2,1] => 603
[4,1,7,8,6,5,2,3] => 1001110 => [1,2,3,1] => 262
[5,4,3,7,6,1,2,8] => 1101100 => [2,1,2,2] => 363
[4,7,6,1,2,3,8,5] => 0110001 => [1,2,3,1] => 262
[4,5,2,6,7,8,1,3] => 0100010 => [1,1,3,1,1] => 439
[2,8,7,6,5,4,3,1,9] => 01111110 => [1,6,1] => 50
[2,1,4,9,8,7,6,5,3] => 10011111 => [1,2,5] => 138
[3,7,6,5,4,2,1,9,8] => 01111101 => [1,5,1,1] => 240
[3,2,1,6,9,8,7,5,4] => 11001111 => [2,2,4] => 306
[4,6,5,3,2,1,9,8,7] => 01111011 => [1,4,1,2] => 526
[1,7,6,2,3,8,5,4] => 0110011 => [1,2,2,2] => 363
[4,5,1,3,7,6,2,8] => 0100110 => [1,1,2,2,1] => 611
[7,2,3,8,6,4,5,1] => 1001101 => [1,2,2,1,1] => 594
[1,5,4,3,8,6,2,7] => 0110110 => [1,2,1,2,1] => 603
[1,3,7,5,8,4,6,2] => 0010101 => [2,1,1,1,1,1] => 969
[7,8,1,5,3,4,6,2] => 0101001 => [1,1,1,1,2,1] => 1023
[7,3,5,4,1,6,2,8] => 1011010 => [1,1,2,1,1,1] => 984
[3,5,7,1,6,4,2,8] => 0010110 => [2,1,1,2,1] => 603
[3,7,5,6,1,4,2,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,7,5,6,3,4,8,2] => 0101001 => [1,1,1,1,2,1] => 1023
[5,3,1,2,7,8,4,6] => 1100010 => [2,3,1,1] => 256
[5,1,3,7,8,2,6,4] => 1000101 => [1,3,1,1,1] => 427
[5,8,1,2,7,6,4,3] => 0100111 => [1,1,2,3] => 265
[1,6,7,4,5,3,2,8] => 0010110 => [2,1,1,2,1] => 603
[1,4,2,6,7,5,3,8] => 0100110 => [1,1,2,2,1] => 611
[1,8,2,4,6,5,3,7] => 0100110 => [1,1,2,2,1] => 611
[7,2,1,6,4,3,8,5] => 1101101 => [2,1,2,1,1] => 594
[1,4,8,7,2,3,6,5] => 0011001 => [2,2,2,1] => 357
[4,1,3,6,5,8,2,7] => 1001010 => [1,2,1,1,1,1] => 969
[4,3,7,1,5,8,2,6] => 1010010 => [1,1,1,2,1,1] => 1006
[1,8,6,5,2,7,4,3] => 0111011 => [1,3,1,2] => 259
[1,8,6,2,7,4,3,5] => 0110110 => [1,2,1,2,1] => 603
[7,2,6,4,1,8,5,3] => 1011011 => [1,1,2,1,2] => 611
[6,4,1,8,3,7,5,2] => 1101011 => [2,1,1,1,2] => 603
[4,5,8,7,3,6,2,1] => 0011011 => [2,2,1,2] => 357
[3,5,4,1,7,8,6,2] => 0110011 => [1,2,2,2] => 363
[2,9,8,7,6,1,5,4,3] => 01111011 => [1,4,1,2] => 526
[6,8,7,2,1,5,4,3] => 0111011 => [1,3,1,2] => 259
[4,9,8,7,6,5,2,1,3] => 01111110 => [1,6,1] => 50
[5,9,8,7,6,2,1,4,3] => 01111101 => [1,5,1,1] => 240
[6,9,8,7,2,1,5,4,3] => 01111011 => [1,4,1,2] => 526
[7,9,8,2,1,6,5,4,3] => 01110111 => [1,3,1,3] => 676
[8,9,2,1,7,6,5,4,3] => 01101111 => [1,2,1,4] => 534
[8,1,6,3,7,5,4,2] => 1010111 => [1,1,1,1,3] => 450
[8,5,1,3,7,6,4,2] => 1100111 => [2,2,3] => 153
[8,3,6,5,4,2,1,7] => 1011110 => [1,1,4,1] => 148
[6,1,3,5,7,2,8,4] => 1000101 => [1,3,1,1,1] => 427
[1,6,7,5,8,4,2,3] => 0010110 => [2,1,1,2,1] => 603
[7,4,1,6,5,2,8,3] => 1101101 => [2,1,2,1,1] => 594
[7,4,2,8,6,5,3,1] => 1101111 => [2,1,4] => 85
[6,8,4,7,3,2,5,1] => 0101101 => [1,1,1,2,1,1] => 1006
[5,8,7,3,2,1,6,4] => 0111101 => [1,4,1,1] => 145
[5,8,7,2,6,4,3,1] => 0110111 => [1,2,1,3] => 262
[6,8,7,3,5,1,4,2] => 0110101 => [1,2,1,1,1,1] => 969
[7,2,5,6,8,3,4,1] => 1000101 => [1,3,1,1,1] => 427
[1,6,5,7,8,3,2,4] => 0100110 => [1,1,2,2,1] => 611
[8,6,7,2,3,5,4,1] => 1010011 => [1,1,1,2,2] => 622
[5,4,8,6,7,3,1,2] => 1010110 => [1,1,1,1,2,1] => 1023
[4,2,7,3,1,6,8,5] => 1011001 => [1,1,2,2,1] => 611
[7,3,6,4,2,1,8,5] => 1011101 => [1,1,3,1,1] => 439
[4,8,5,2,7,3,1,6] => 0110110 => [1,2,1,2,1] => 603
[6,4,3,1,8,5,2,7] => 1110110 => [3,1,2,1] => 259
[7,4,3,1,5,8,6,2] => 1110011 => [3,2,2] => 153
[7,4,8,6,5,3,1,2] => 1011110 => [1,1,4,1] => 148
[4,8,5,2,6,7,3,1] => 0110011 => [1,2,2,2] => 363
[7,3,2,1,8,5,6,4] => 1110101 => [3,1,1,1,1] => 427
[7,8,1,9,2,3,4,5,6] => 01010000 => [1,1,1,1,4] => 934
[6,7,8,1,9,2,3,4,5] => 00101000 => [2,1,1,1,3] => 1612
[5,6,7,8,1,9,2,3,4] => 00010100 => [3,1,1,1,2] => 1576
[9,1,2,3,4,5,7,6,8] => 10000010 => [1,5,1,1] => 240
[2,1,3,4,5,9,6,7,8] => 10000100 => [1,4,1,2] => 526
[1,5,7,2,4,3,8,6] => 0010101 => [2,1,1,1,1,1] => 969
[1,2,7,5,8,4,3,6] => 0010110 => [2,1,1,2,1] => 603
[5,1,3,8,2,7,4,6] => 1001010 => [1,2,1,1,1,1] => 969
[5,7,1,3,2,8,4,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[7,1,6,3,2,8,4,5] => 1011010 => [1,1,2,1,1,1] => 984
[8,1,7,2,3,6,5,4] => 1010011 => [1,1,1,2,2] => 622
[7,1,2,6,4,3,8,5] => 1001101 => [1,2,2,1,1] => 594
[1,4,7,8,3,2,5,6] => 0001100 => [3,2,2] => 153
[8,7,1,3,2,4,6,5] => 1101001 => [2,1,1,2,1] => 603
[8,1,6,3,2,4,7,5] => 1011001 => [1,1,2,2,1] => 611
[1,8,2,7,6,3,5,4] => 0101101 => [1,1,1,2,1,1] => 1006
[8,1,6,3,2,7,4,5] => 1011010 => [1,1,2,1,1,1] => 984
[8,2,1,7,6,3,4,5] => 1101100 => [2,1,2,2] => 363
[6,8,4,3,5,1,2,7] => 0110100 => [1,2,1,1,2] => 603
[8,7,3,5,4,1,2,6] => 1101100 => [2,1,2,2] => 363
[6,3,8,5,7,2,1,4] => 1010110 => [1,1,1,1,2,1] => 1023
[8,7,3,6,4,1,2,5] => 1101100 => [2,1,2,2] => 363
[5,2,7,4,6,1,3,8] => 1010100 => [1,1,1,1,1,2] => 1023
[8,7,2,3,5,1,4,6] => 1100100 => [2,2,1,2] => 357
[7,6,3,4,1,8,2,5] => 1101010 => [2,1,1,1,1,1] => 969
[6,3,5,2,8,1,4,7] => 1010100 => [1,1,1,1,1,2] => 1023
[6,4,5,3,1,7,2,8] => 1011010 => [1,1,2,1,1,1] => 984
[8,7,2,4,3,1,5,6] => 1101100 => [2,1,2,2] => 363
[7,6,2,3,1,4,8,5] => 1101001 => [2,1,1,2,1] => 603
[4,7,6,2,3,1,5,8] => 0110100 => [1,2,1,1,2] => 603
[4,7,6,1,3,2,8,5] => 0110101 => [1,2,1,1,1,1] => 969
[7,2,6,5,4,3,1,9,8] => 10111101 => [1,1,4,1,1] => 912
[3,2,1,9,5,8,7,6,4] => 11010111 => [2,1,1,1,3] => 1612
[6,3,5,4,2,1,9,8,7] => 10111011 => [1,1,3,1,2] => 1608
[4,3,2,1,9,7,8,6,5] => 11101011 => [3,1,1,1,2] => 1576
[2,8,1,3,5,6,4,7] => 0100010 => [1,1,3,1,1] => 439
[2,6,3,4,7,8,5,1] => 0100011 => [1,1,3,2] => 265
[7,6,3,1,8,5,2,4] => 1110110 => [3,1,2,1] => 259
[7,2,1,3,6,8,5,4] => 1100011 => [2,3,2] => 153
[7,6,3,8,1,5,2,4] => 1101010 => [2,1,1,1,1,1] => 969
[1,6,4,7,8,5,3,2] => 0100111 => [1,1,2,3] => 265
[7,2,5,8,6,1,3,4] => 1001100 => [1,2,2,2] => 363
[4,1,3,6,2,5,8,7] => 1001001 => [1,2,1,2,1] => 603
[7,1,4,6,3,2,5,8] => 1001100 => [1,2,2,2] => 363
[7,4,5,8,6,2,3,1] => 1001101 => [1,2,2,1,1] => 594
[6,7,2,3,8,4,1,5] => 0100110 => [1,1,2,2,1] => 611
[1,5,2,6,8,7,4,3] => 0100111 => [1,1,2,3] => 265
[1,8,3,7,5,2,6,4] => 0101101 => [1,1,1,2,1,1] => 1006
[8,1,3,6,5,2,7,4] => 1001101 => [1,2,2,1,1] => 594
[7,1,3,8,5,2,6,4] => 1001101 => [1,2,2,1,1] => 594
[4,7,1,5,2,6,8,3] => 0101001 => [1,1,1,1,2,1] => 1023
[7,4,1,5,2,6,8,3] => 1101001 => [2,1,1,2,1] => 603
[3,1,6,7,5,2,8,4] => 1001101 => [1,2,2,1,1] => 594
[8,6,2,4,5,1,7,3] => 1100101 => [2,2,1,1,1] => 582
[8,6,7,5,2,1,4,3] => 1011101 => [1,1,3,1,1] => 439
[7,1,4,5,2,6,8,3] => 1001001 => [1,2,1,2,1] => 603
[4,1,6,2,3,8,7,5] => 1010011 => [1,1,1,2,2] => 622
[4,1,7,6,5,2,8,3] => 1011101 => [1,1,3,1,1] => 439
[8,4,1,5,6,2,7,3] => 1100101 => [2,2,1,1,1] => 582
[8,4,5,3,6,1,7,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[2,8,4,7,3,5,6,1] => 0101001 => [1,1,1,1,2,1] => 1023
[1,5,4,8,3,2,6,7] => 0101100 => [1,1,1,2,2] => 622
[1,5,7,6,3,8,2,4] => 0011010 => [2,2,1,1,1] => 582
[2,6,3,1,7,8,4,5] => 0110010 => [1,2,2,1,1] => 594
[2,1,7,8,3,5,4,6] => 1001010 => [1,2,1,1,1,1] => 969
[1,5,8,6,7,4,2,3] => 0010110 => [2,1,1,2,1] => 603
[8,7,1,3,5,2,6,4] => 1100101 => [2,2,1,1,1] => 582
[3,7,8,2,5,4,1,6] => 0010110 => [2,1,1,2,1] => 603
[4,7,6,5,8,1,3,2] => 0110101 => [1,2,1,1,1,1] => 969
[4,7,8,6,2,1,5,3] => 0011101 => [2,3,1,1] => 256
[4,8,6,3,2,1,7,5] => 0111101 => [1,4,1,1] => 145
[5,1,4,7,6,8,3,2] => 1001011 => [1,2,1,1,2] => 603
[5,6,4,7,1,8,3,2] => 0101011 => [1,1,1,1,1,2] => 1023
[5,3,7,4,6,1,8,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,1,5,7,8,6,3,2] => 1000111 => [1,3,3] => 110
[3,6,7,1,5,4,8,2] => 0010101 => [2,1,1,1,1,1] => 969
[3,6,4,7,5,8,2,1] => 0101011 => [1,1,1,1,1,2] => 1023
[9,1,2,3,4,8,6,5,7] => 10000110 => [1,4,2,1] => 526
[9,1,2,3,8,5,6,4,7] => 10001010 => [1,3,1,1,1,1] => 2592
[8,1,2,9,4,5,6,3,7] => 10010010 => [1,2,1,2,1,1] => 3652
[9,1,8,3,4,5,6,2,7] => 10100010 => [1,1,1,3,1,1] => 2732
[7,1,2,3,4,9,5,8,6] => 10000101 => [1,4,1,1,1] => 888
[6,1,2,3,8,4,5,9,7] => 10001001 => [1,3,1,2,1] => 1576
[5,1,2,8,3,4,6,9,7] => 10010001 => [1,2,1,3,1] => 1612
[4,1,9,2,3,5,6,8,7] => 10100001 => [1,1,1,4,1] => 934
[3,8,1,2,4,5,6,9,7] => 01000001 => [1,1,5,1] => 244
[8,2,1,3,4,5,6,9,7] => 11000001 => [2,5,1] => 138
[9,1,2,3,8,5,4,7,6] => 10001101 => [1,3,2,1,1] => 1560
[6,1,2,3,9,4,7,8,5] => 10001001 => [1,3,1,2,1] => 1576
[5,1,2,8,3,6,4,9,7] => 10010101 => [1,2,1,1,1,1,1] => 5976
[9,8,2,1,4,5,6,7,3] => 11100001 => [3,4,1] => 220
[8,1,7,3,2,4,5,6] => 1011000 => [1,1,2,3] => 265
[4,1,8,2,5,3,6,9,7] => 10101001 => [1,1,1,1,1,2,1] => 6344
[3,9,1,4,2,5,6,8,7] => 01010001 => [1,1,1,1,3,1] => 2790
[8,2,3,1,4,5,6,9,7] => 10100001 => [1,1,1,4,1] => 934
[6,4,7,1,5,2,8,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,8,1,3,5,2,7,6] => 0100101 => [1,1,2,1,1,1] => 984
[1,6,5,2,8,7,4,3] => 0110111 => [1,2,1,3] => 262
[2,3,4,5,7,8,1,9,6] => 00000101 => [5,1,1,1] => 240
[1,3,4,5,2,6,7,8,9] => 00010000 => [3,1,4] => 220
[2,3,4,5,7,9,1,6,8] => 00000100 => [5,1,2] => 138
[2,3,4,5,1,6,7,9,8] => 00010001 => [3,1,3,1] => 676
[4,5,6,1,7,8,9,2,3] => 00100010 => [2,1,3,1,1] => 1580
[2,1,4,5,3,6,7,8,9] => 10010000 => [1,2,1,4] => 534
[1,3,2,5,4,6,7,8,9] => 01010000 => [1,1,1,1,4] => 934
[4,1,7,2,5,8,3,6] => 1010010 => [1,1,1,2,1,1] => 1006
[3,2,5,8,6,1,7,4] => 1001101 => [1,2,2,1,1] => 594
[4,5,1,7,2,8,6,3] => 0101011 => [1,1,1,1,1,2] => 1023
[2,8,5,3,6,7,4,1] => 0110011 => [1,2,2,2] => 363
[2,3,4,5,9,8,6,7,1] => 00001101 => [4,2,1,1] => 522
[2,3,4,9,7,5,8,6,1] => 00011011 => [3,2,1,2] => 924
[2,3,9,6,4,7,8,5,1] => 00110011 => [2,2,2,2] => 1292
[8,3,5,2,6,7,4,1] => 1010011 => [1,1,1,2,2] => 622
[2,8,6,3,4,7,5,1] => 0110011 => [1,2,2,2] => 363
[2,9,5,3,6,7,8,4,1] => 01100011 => [1,2,3,2] => 946
[9,4,2,5,6,7,8,3,1] => 11000011 => [2,4,2] => 306
[6,4,7,2,5,3,1,8] => 1010110 => [1,1,1,1,2,1] => 1023
[7,1,4,3,6,8,2,5] => 1010010 => [1,1,1,2,1,1] => 1006
[6,3,1,5,4,8,7,2] => 1101011 => [2,1,1,1,2] => 603
[4,1,6,2,8,3,5,7,9] => 10101000 => [1,1,1,1,1,3] => 2790
[4,1,6,2,8,3,9,5,7] => 10101010 => [1,1,1,1,1,1,1,1] => 10176
[4,1,6,2,7,3,8,5,9] => 10101010 => [1,1,1,1,1,1,1,1] => 10176
[7,1,3,8,5,4,2,6] => 1001110 => [1,2,3,1] => 262
[4,8,7,3,5,1,6,2] => 0110101 => [1,2,1,1,1,1] => 969
[5,3,8,7,1,6,2,4] => 1011010 => [1,1,2,1,1,1] => 984
[3,4,1,6,2,8,7,5] => 0101011 => [1,1,1,1,1,2] => 1023
[5,2,6,7,4,3,1,8] => 1001110 => [1,2,3,1] => 262
[8,5,1,6,4,3,2,7] => 1101110 => [2,1,3,1] => 262
[8,6,3,5,2,7,1,4] => 1101010 => [2,1,1,1,1,1] => 969
[8,4,6,2,1,5,7,3] => 1011001 => [1,1,2,2,1] => 611
[8,5,2,1,6,4,7,3] => 1110101 => [3,1,1,1,1] => 427
[1,7,2,8,5,4,6,3] => 0101101 => [1,1,1,2,1,1] => 1006
[6,7,1,4,8,5,3,2] => 0100111 => [1,1,2,3] => 265
[7,3,2,8,5,1,4,6] => 1101100 => [2,1,2,2] => 363
[4,1,7,3,2,8,5,6] => 1011010 => [1,1,2,1,1,1] => 984
[8,3,5,2,4,7,1,6] => 1010010 => [1,1,1,2,1,1] => 1006
[4,3,7,8,6,1,5,2] => 1001101 => [1,2,2,1,1] => 594
[1,2,6,3,7,8,5,4] => 0010011 => [2,1,2,2] => 363
[6,1,3,7,8,5,4,2] => 1000111 => [1,3,3] => 110
[8,7,9,1,4,5,6,2,3] => 10100010 => [1,1,1,3,1,1] => 2732
[7,6,9,1,4,5,2,8,3] => 10100101 => [1,1,1,2,1,1,1] => 6148
[2,6,4,7,5,3,1,8] => 0101110 => [1,1,1,3,1] => 450
[5,6,3,7,2,8,4,1] => 0101011 => [1,1,1,1,1,2] => 1023
[4,5,1,8,6,2,7,3] => 0101101 => [1,1,1,2,1,1] => 1006
[5,6,1,8,7,2,3,4] => 0101100 => [1,1,1,2,2] => 622
[4,5,1,6,8,7,3,2] => 0100111 => [1,1,2,3] => 265
[3,9,2,4,5,6,7,8,1] => 01000001 => [1,1,5,1] => 244
[3,8,6,1,5,2,4,7] => 0110100 => [1,2,1,1,2] => 603
[3,2,8,1,5,6,4,7] => 1010010 => [1,1,1,2,1,1] => 1006
[5,8,7,3,2,1,4,6] => 0111100 => [1,4,2] => 85
[3,4,7,6,8,2,1,5] => 0010110 => [2,1,1,2,1] => 603
[2,8,1,3,7,5,6,4] => 0100101 => [1,1,2,1,1,1] => 984
[1,8,7,2,5,6,4,3] => 0110011 => [1,2,2,2] => 363
[3,4,7,1,5,8,2,6] => 0010010 => [2,1,2,1,1] => 594
[4,2,7,1,5,8,3,6] => 1010010 => [1,1,1,2,1,1] => 1006
[1,3,5,2,4,6,7,8,9] => 00100000 => [2,1,5] => 138
[4,1,2,3,5,6,8,7,9] => 10000010 => [1,5,1,1] => 240
[1,2,4,7,3,5,6,8,9] => 00010000 => [3,1,4] => 220
[5,1,2,3,4,7,6,8,9] => 10000100 => [1,4,1,2] => 526
[2,4,6,3,5,1,7,8] => 0010100 => [2,1,1,1,2] => 603
[4,1,6,2,5,8,3,7] => 1010010 => [1,1,1,2,1,1] => 1006
[1,8,2,5,7,3,4,6] => 0100100 => [1,1,2,1,2] => 611
[1,4,6,3,8,5,2,7] => 0010110 => [2,1,1,2,1] => 603
[4,5,6,3,1,7,2,8] => 0011010 => [2,2,1,1,1] => 582
[3,4,6,2,5,1,7,8] => 0010100 => [2,1,1,1,2] => 603
[1,4,7,5,2,3,6,8] => 0011000 => [2,2,3] => 153
[1,4,6,5,8,2,3,7] => 0010100 => [2,1,1,1,2] => 603
[1,4,8,3,7,6,2,5] => 0010110 => [2,1,1,2,1] => 603
[1,4,5,3,7,2,6,8] => 0010100 => [2,1,1,1,2] => 603
[2,5,7,6,8,3,4,1] => 0010101 => [2,1,1,1,1,1] => 969
[3,1,6,7,2,8,5,4] => 1001011 => [1,2,1,1,2] => 603
[1,5,3,6,8,4,7,2] => 0100101 => [1,1,2,1,1,1] => 984
[6,5,1,3,8,4,7,2] => 1100101 => [2,2,1,1,1] => 582
[1,7,4,8,5,3,2,6] => 0101110 => [1,1,1,3,1] => 450
[7,3,1,6,8,4,5,2] => 1100101 => [2,2,1,1,1] => 582
[8,5,1,4,6,7,3,2] => 1100011 => [2,3,2] => 153
[3,4,7,5,6,8,2,1] => 0010011 => [2,1,2,2] => 363
[3,4,7,8,5,2,6,1] => 0001101 => [3,2,1,1] => 256
[7,4,2,3,6,5,1,8] => 1100110 => [2,2,2,1] => 357
[7,2,4,3,1,5,6,8] => 1011000 => [1,1,2,3] => 265
[6,3,1,4,8,5,7,2] => 1100101 => [2,2,1,1,1] => 582
[6,3,5,4,8,7,1,2] => 1010110 => [1,1,1,1,2,1] => 1023
[2,6,4,3,1,7,5,8] => 0111010 => [1,3,1,1,1] => 427
[4,8,1,7,5,6,3,2] => 0101011 => [1,1,1,1,1,2] => 1023
[1,5,7,2,8,4,6,3] => 0010101 => [2,1,1,1,1,1] => 969
[5,8,7,2,3,6,4,1] => 0110011 => [1,2,2,2] => 363
[4,6,5,1,2,3,7,8] => 0110000 => [1,2,4] => 85
[1,8,7,5,2,6,3,4] => 0111010 => [1,3,1,1,1] => 427
[1,7,6,3,4,5,8,2] => 0110001 => [1,2,3,1] => 262
[1,8,7,4,5,6,2,3] => 0110010 => [1,2,2,1,1] => 594
[1,8,7,3,6,4,2,5] => 0110110 => [1,2,1,2,1] => 603
[1,4,7,5,8,2,6,3] => 0010101 => [2,1,1,1,1,1] => 969
[1,4,7,2,3,6,5,8] => 0010010 => [2,1,2,1,1] => 594
[1,7,2,5,6,3,4,8] => 0100100 => [1,1,2,1,2] => 611
[1,2,6,5,8,3,4,7] => 0010100 => [2,1,1,1,2] => 603
[1,5,8,2,6,3,4,7] => 0010100 => [2,1,1,1,2] => 603
[6,8,3,2,7,5,1,4] => 0110110 => [1,2,1,2,1] => 603
[7,3,6,8,1,2,5,4] => 1001001 => [1,2,1,2,1] => 603
[4,1,5,7,2,6,3,8] => 1001010 => [1,2,1,1,1,1] => 969
[5,7,2,1,3,6,4,8] => 0110010 => [1,2,2,1,1] => 594
[3,5,6,7,2,4,1,8] => 0001010 => [3,1,1,1,1] => 427
[6,4,7,5,2,3,1,8] => 1011010 => [1,1,2,1,1,1] => 984
[1,5,6,4,8,3,2,7] => 0010110 => [2,1,1,2,1] => 603
[2,1,5,6,4,8,3,7] => 1001010 => [1,2,1,1,1,1] => 969
[5,1,4,7,8,6,2,3] => 1000110 => [1,3,2,1] => 259
[1,6,7,2,8,5,4,3] => 0010111 => [2,1,1,3] => 262
[5,3,2,1,7,8,6,4] => 1110011 => [3,2,2] => 153
[7,4,3,8,6,1,5,2] => 1101101 => [2,1,2,1,1] => 594
[4,3,7,1,5,8,6,2] => 1010011 => [1,1,1,2,2] => 622
[8,2,4,5,3,1,7,6] => 1001101 => [1,2,2,1,1] => 594
[1,4,3,2,7,5,8,6] => 0110101 => [1,2,1,1,1,1] => 969
[4,8,7,2,6,1,3,5] => 0110100 => [1,2,1,1,2] => 603
[4,5,8,2,1,7,3,6] => 0011010 => [2,2,1,1,1] => 582
[6,8,4,1,7,3,2,5] => 0110110 => [1,2,1,2,1] => 603
[5,6,4,3,2,1,7,8,9] => 01111000 => [1,4,3] => 220
[4,5,3,2,1,6,7,8,9] => 01110000 => [1,3,4] => 220
[6,7,4,3,2,1,5,8,9] => 01111000 => [1,4,3] => 220
[5,6,4,3,2,7,1,8,9] => 01110100 => [1,3,1,1,2] => 1576
[7,5,4,3,1,2,6,8,9] => 11110000 => [4,4] => 70
[6,5,4,3,7,1,2,8,9] => 11101000 => [3,1,1,3] => 676
[6,7,9,8,5,4,3,2,1] => 00111111 => [2,6] => 28
[7,6,8,9,5,4,3,2,1] => 10011111 => [1,2,5] => 138
[6,7,5,9,8,4,3,2,1] => 01011111 => [1,1,1,5] => 244
[5,7,9,8,6,4,3,2,1] => 00111111 => [2,6] => 28
[7,6,8,5,9,4,3,2,1] => 10101111 => [1,1,1,1,4] => 934
[6,5,8,9,7,4,3,2,1] => 10011111 => [1,2,5] => 138
[6,3,1,8,2,7,5,4] => 1101011 => [2,1,1,1,2] => 603
[6,4,1,3,2,5,7,8] => 1101000 => [2,1,1,3] => 262
[4,1,7,8,3,2,5,6] => 1001100 => [1,2,2,2] => 363
[5,4,7,1,3,6,2,8] => 1010010 => [1,1,1,2,1,1] => 1006
[7,6,2,8,4,5,3,1] => 1101011 => [2,1,1,1,2] => 603
[5,8,2,1,3,6,4,7] => 0110010 => [1,2,2,1,1] => 594
[7,6,4,3,5,2,1,9,8] => 11101101 => [3,1,2,1,1] => 1560
[7,6,3,5,4,2,1,9,8] => 11011101 => [2,1,3,1,1] => 1580
[8,5,1,7,3,4,6,2] => 1101001 => [2,1,1,2,1] => 603
[5,7,6,3,4,1,8,2] => 0110101 => [1,2,1,1,1,1] => 969
[1,8,3,5,2,6,4,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,4,6,1,8,5,7,2] => 0010101 => [2,1,1,1,1,1] => 969
[2,3,8,7,4,5,1,6] => 0011010 => [2,2,1,1,1] => 582
[1,8,3,5,7,4,2,6] => 0100110 => [1,1,2,2,1] => 611
[2,5,8,4,6,7,1,3] => 0010010 => [2,1,2,1,1] => 594
[9,8,6,1,2,3,4,5,7] => 11100000 => [3,5] => 56
[9,8,7,5,1,2,3,4,6] => 11110000 => [4,4] => 70
[9,8,7,6,4,1,2,3,5] => 11111000 => [5,3] => 56
[9,8,7,6,5,3,1,2,4] => 11111100 => [6,2] => 28
[7,1,2,6,4,3,5,8] => 1001100 => [1,2,2,2] => 363
[7,1,2,6,5,3,4,8] => 1001100 => [1,2,2,2] => 363
[4,7,8,6,2,3,5,1] => 0011001 => [2,2,2,1] => 357
[7,1,2,4,8,6,5,3] => 1000111 => [1,3,3] => 110
[2,7,5,6,4,8,1,3] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,8,3,6,5,7,1,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[9,8,4,7,6,5,3,2,1] => 11011111 => [2,1,5] => 138
[9,8,3,7,6,5,4,2,1] => 11011111 => [2,1,5] => 138
[9,3,8,7,6,5,4,2,1] => 10111111 => [1,1,6] => 50
[9,2,8,7,6,5,4,3,1] => 10111111 => [1,1,6] => 50
[9,8,4,6,5,7,3,2,1] => 11010111 => [2,1,1,1,3] => 1612
[9,8,3,6,5,4,7,2,1] => 11011011 => [2,1,2,1,2] => 2194
[9,3,7,6,5,4,8,2,1] => 10111011 => [1,1,3,1,2] => 1608
[9,2,7,6,5,4,3,8,1] => 10111101 => [1,1,4,1,1] => 912
[7,4,3,1,6,5,2,8] => 1110110 => [3,1,2,1] => 259
[3,5,1,2,6,8,7,4] => 0100011 => [1,1,3,2] => 265
[3,1,2,4,8,7,5,6] => 1000110 => [1,3,2,1] => 259
[5,4,1,2,3,7,8,6] => 1100001 => [2,4,1] => 85
[1,6,7,2,5,8,3,4] => 0010010 => [2,1,2,1,1] => 594
[7,8,5,6,2,4,3,1] => 0101011 => [1,1,1,1,1,2] => 1023
[5,3,8,6,2,4,1,7] => 1011010 => [1,1,2,1,1,1] => 984
[2,7,4,6,3,8,1,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,4,7,8,6,2,1,3] => 1001110 => [1,2,3,1] => 262
[2,7,4,8,3,1,5,6] => 0101100 => [1,1,1,2,2] => 622
[8,2,1,3,7,4,6,5] => 1100101 => [2,2,1,1,1] => 582
[6,5,8,2,3,4,7,1] => 1010001 => [1,1,1,3,1] => 450
[7,8,2,3,6,4,5,1] => 0100101 => [1,1,2,1,1,1] => 984
[8,1,2,7,5,3,4,6] => 1001100 => [1,2,2,2] => 363
[4,2,8,1,3,7,5,6] => 1010010 => [1,1,1,2,1,1] => 1006
[7,5,1,8,2,3,4,6] => 1101000 => [2,1,1,3] => 262
[8,2,4,1,3,7,5,6] => 1010010 => [1,1,1,2,1,1] => 1006
[8,1,6,2,3,7,4,5] => 1010010 => [1,1,1,2,1,1] => 1006
[7,1,8,2,3,6,4,5] => 1010010 => [1,1,1,2,1,1] => 1006
[4,2,6,7,5,1,8,3] => 1001101 => [1,2,2,1,1] => 594
[4,7,2,5,3,8,1,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,5,7,4,2,8,1,6] => 0011010 => [2,2,1,1,1] => 582
[2,4,7,6,3,8,1,5] => 0011010 => [2,2,1,1,1] => 582
[4,6,8,5,1,2,3,7] => 0011000 => [2,2,3] => 153
[4,6,5,7,1,2,3,8] => 0101000 => [1,1,1,1,3] => 450
[4,6,5,7,1,3,8,2] => 0101001 => [1,1,1,1,2,1] => 1023
[3,4,7,6,1,8,2,5] => 0011010 => [2,2,1,1,1] => 582
[8,5,2,1,6,3,4,7] => 1110100 => [3,1,1,2] => 259
[7,1,8,5,3,2,4,6] => 1011100 => [1,1,3,2] => 265
[8,6,1,3,2,7,5,4] => 1101011 => [2,1,1,1,2] => 603
[8,1,7,5,2,4,6,3] => 1011001 => [1,1,2,2,1] => 611
[8,2,7,5,4,1,6,3] => 1011101 => [1,1,3,1,1] => 439
[8,6,1,2,7,3,5,4] => 1100101 => [2,2,1,1,1] => 582
[4,2,8,5,7,1,6,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,8,7,4,5,3,2,1] => 0110111 => [1,2,1,3] => 262
[5,2,6,7,4,8,3,1] => 1001011 => [1,2,1,1,2] => 603
[6,5,8,1,7,3,2,4] => 1010110 => [1,1,1,1,2,1] => 1023
[6,4,8,1,5,2,3,7] => 1010100 => [1,1,1,1,1,2] => 1023
[7,2,4,1,6,3,5,8] => 1010100 => [1,1,1,1,1,2] => 1023
[4,2,1,3,6,5,8,7,9] => 11001010 => [2,2,1,1,1,1] => 3528
[6,2,1,4,3,5,8,7,9] => 11010010 => [2,1,1,2,1,1] => 3652
[2,6,1,5,3,4,8,7] => 0101001 => [1,1,1,1,2,1] => 1023
[3,8,7,5,4,2,6,1] => 0111101 => [1,4,1,1] => 145
[5,7,8,2,3,6,4,1] => 0010011 => [2,1,2,2] => 363
[2,8,7,3,1,4,5,6] => 0111000 => [1,3,3] => 110
[5,6,1,2,4,7,8,3] => 0100001 => [1,1,4,1] => 148
[9,2,3,4,1,5,6,7,8] => 10010000 => [1,2,1,4] => 534
[9,8,4,5,7,6,3,2,1] => 11001111 => [2,2,4] => 306
[9,8,5,4,6,7,3,2,1] => 11100111 => [3,2,3] => 392
[9,8,4,5,3,7,6,2,1] => 11010111 => [2,1,1,1,3] => 1612
[9,8,3,5,7,6,4,2,1] => 11001111 => [2,2,4] => 306
[9,8,5,4,6,3,7,2,1] => 11101011 => [3,1,1,1,2] => 1576
[9,8,4,3,6,7,5,2,1] => 11100111 => [3,2,3] => 392
[3,8,6,7,5,4,2,1] => 0101111 => [1,1,1,4] => 148
[7,8,5,1,4,6,2,3] => 0110010 => [1,2,2,1,1] => 594
[8,2,7,5,4,6,1,3] => 1011010 => [1,1,2,1,1,1] => 984
[8,4,7,6,3,1,2,5] => 1011100 => [1,1,3,2] => 265
[4,6,7,1,3,2,8,5] => 0010101 => [2,1,1,1,1,1] => 969
[6,4,7,5,3,2,8,1] => 1011101 => [1,1,3,1,1] => 439
[8,4,6,3,1,5,7,2] => 1011001 => [1,1,2,2,1] => 611
[7,3,1,4,5,6,8,2] => 1100001 => [2,4,1] => 85
[6,7,3,4,2,1,8,5] => 0101101 => [1,1,1,2,1,1] => 1006
[6,4,8,3,1,5,7,2] => 1011001 => [1,1,2,2,1] => 611
[7,4,2,3,5,1,8,6] => 1100101 => [2,2,1,1,1] => 582
[3,1,6,5,2,4,8,7] => 1011001 => [1,1,2,2,1] => 611
[2,5,3,8,6,4,1,7] => 0101110 => [1,1,1,3,1] => 450
[5,8,4,1,3,2,7,6] => 0110101 => [1,2,1,1,1,1] => 969
[5,3,4,7,6,1,8,2] => 1001101 => [1,2,2,1,1] => 594
[4,5,2,1,6,3,8,7] => 0110101 => [1,2,1,1,1,1] => 969
[4,5,2,1,6,7,3,8] => 0110010 => [1,2,2,1,1] => 594
[5,3,8,6,2,4,7,1] => 1011001 => [1,1,2,2,1] => 611
[2,5,1,6,4,3,8,7] => 0101101 => [1,1,1,2,1,1] => 1006
[3,6,2,8,5,7,1,4] => 0101010 => [1,1,1,1,1,1,1] => 1623
[4,6,8,1,5,7,2,3] => 0010010 => [2,1,2,1,1] => 594
[4,1,2,5,7,6,3,8] => 1000110 => [1,3,2,1] => 259
[4,6,5,8,1,7,3,2] => 0101011 => [1,1,1,1,1,2] => 1023
[2,1,3,6,4,8,7,5] => 1001011 => [1,2,1,1,2] => 603
[4,8,1,2,7,5,6,3] => 0100101 => [1,1,2,1,1,1] => 984
[1,6,4,3,8,7,5,2] => 0110111 => [1,2,1,3] => 262
[4,5,1,6,8,7,2,3] => 0100110 => [1,1,2,2,1] => 611
[2,5,1,8,6,4,7,3] => 0101101 => [1,1,1,2,1,1] => 1006
[2,5,8,7,3,1,4,6] => 0011100 => [2,3,2] => 153
[9,8,7,4,3,2,1,5,6] => 11111100 => [6,2] => 28
[9,8,7,6,3,2,1,4,5] => 11111100 => [6,2] => 28
[3,8,7,2,6,1,4,5] => 0110100 => [1,2,1,1,2] => 603
[8,4,5,1,6,7,2,3] => 1010010 => [1,1,1,2,1,1] => 1006
[8,4,7,3,1,5,2,6] => 1011010 => [1,1,2,1,1,1] => 984
[2,5,1,8,3,6,4,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[5,8,4,7,3,2,1,6] => 0101110 => [1,1,1,3,1] => 450
[5,6,8,4,2,7,1,3] => 0011010 => [2,2,1,1,1] => 582
[4,3,8,6,1,2,5,7] => 1011000 => [1,1,2,3] => 265
[4,8,6,5,7,1,3,2] => 0110101 => [1,2,1,1,1,1] => 969
[7,2,3,5,6,8,4,1] => 1000011 => [1,4,2] => 85
[5,8,1,3,4,7,2,6] => 0100010 => [1,1,3,1,1] => 439
[8,3,4,2,7,6,1,5] => 1010110 => [1,1,1,1,2,1] => 1023
[8,7,5,6,4,1,3,2] => 1101101 => [2,1,2,1,1] => 594
[8,7,4,2,3,6,5,1] => 1110011 => [3,2,2] => 153
[8,4,2,3,7,6,5,1] => 1100111 => [2,2,3] => 153
[7,2,4,5,3,1,6,8] => 1001100 => [1,2,2,2] => 363
[7,6,3,1,4,5,8,2] => 1110001 => [3,3,1] => 110
[5,4,1,7,8,6,2,3] => 1100110 => [2,2,2,1] => 357
[5,3,4,7,8,1,6,2] => 1000101 => [1,3,1,1,1] => 427
[4,3,7,6,5,1,8,2] => 1011101 => [1,1,3,1,1] => 439
[5,1,4,8,2,3,7,6] => 1001001 => [1,2,1,2,1] => 603
[3,2,8,5,4,1,6,7] => 1011100 => [1,1,3,2] => 265
[7,8,9,1,3,4,5,6,2] => 00100001 => [2,1,4,1] => 534
[1,2,8,3,4,6,5,7] => 0010010 => [2,1,2,1,1] => 594
[8,1,2,7,3,5,4,6] => 1001010 => [1,2,1,1,1,1] => 969
[5,7,1,2,6,3,4,8] => 0100100 => [1,1,2,1,2] => 611
[1,2,7,5,6,3,4,8] => 0010100 => [2,1,1,1,2] => 603
[5,1,4,7,2,3,6,8] => 1001000 => [1,2,1,3] => 262
[4,8,1,2,3,6,5,7] => 0100010 => [1,1,3,1,1] => 439
[1,3,4,2,5,6,7,8,9] => 00100000 => [2,1,5] => 138
[1,2,4,5,6,3,7,8,9] => 00001000 => [4,1,3] => 220
[1,2,3,5,6,7,8,4,9] => 00000010 => [6,1,1] => 50
[2,1,5,3,6,7,4,8,9] => 10100100 => [1,1,1,2,1,2] => 3790
[1,3,5,6,4,2,7,8,9] => 00011000 => [3,2,3] => 392
[3,5,2,1,6,4,7,8,9] => 01101000 => [1,2,1,1,3] => 1612
[2,1,3,6,4,7,8,9,5] => 10010001 => [1,2,1,3,1] => 1612
[1,3,4,6,7,2,8,5,9] => 00001010 => [4,1,1,1,1] => 888
[3,2,6,1,4,7,8,5,9] => 10100010 => [1,1,1,3,1,1] => 2732
[2,4,6,1,7,5,3,8,9] => 00101100 => [2,1,1,2,2] => 2226
[4,6,3,2,1,7,5,8,9] => 01110100 => [1,3,1,1,2] => 1576
[2,4,1,7,5,8,3,9,6] => 01010101 => [1,1,1,1,1,1,1,1] => 10176
[4,3,7,2,1,5,8,9,6] => 10110001 => [1,1,2,3,1] => 1626
[1,3,5,7,8,6,4,2,9] => 00001110 => [4,3,1] => 220
[3,5,7,2,1,8,6,4,9] => 00110110 => [2,2,1,2,1] => 2162
[5,7,4,3,2,1,8,6,9] => 01111010 => [1,4,1,1,1] => 888
[2,4,6,8,1,9,7,5,3] => 00010111 => [3,1,1,3] => 676
[4,6,8,3,2,1,9,7,5] => 00111011 => [2,3,1,2] => 924
[6,8,5,4,3,2,1,9,7] => 01111101 => [1,5,1,1] => 240
[6,2,3,8,7,1,4,5] => 1001100 => [1,2,2,2] => 363
[8,2,3,6,4,7,5,1] => 1001011 => [1,2,1,1,2] => 603
[7,2,3,6,4,8,1,5] => 1001010 => [1,2,1,1,1,1] => 969
[4,5,6,3,7,2,8,1,9] => 00101010 => [2,1,1,1,1,1,1] => 5976
[1,5,6,7,4,8,3,9,2] => 00010101 => [3,1,1,1,1,1] => 2592
[5,4,1,6,2,7,8,3] => 1101001 => [2,1,1,2,1] => 603
[7,1,3,5,4,2,8,6] => 1001101 => [1,2,2,1,1] => 594
[7,6,8,2,4,5,3,1] => 1010011 => [1,1,1,2,2] => 622
[4,2,8,6,5,1,3,7] => 1011100 => [1,1,3,2] => 265
[3,8,5,4,7,1,2,6] => 0110100 => [1,2,1,1,2] => 603
[1,4,8,3,6,2,7,5] => 0010101 => [2,1,1,1,1,1] => 969
[6,3,2,4,8,7,1,5] => 1100110 => [2,2,2,1] => 357
[8,3,2,7,4,1,5,6] => 1101100 => [2,1,2,2] => 363
[7,3,2,6,5,8,1,4] => 1101010 => [2,1,1,1,1,1] => 969
[3,6,2,5,7,4,8,1] => 0100101 => [1,1,2,1,1,1] => 984
[2,7,1,5,8,6,4,3] => 0100111 => [1,1,2,3] => 265
[7,2,4,1,6,8,5,3] => 1010011 => [1,1,1,2,2] => 622
[6,4,7,2,3,8,5,1] => 1010011 => [1,1,1,2,2] => 622
[6,1,8,5,7,4,2,3] => 1010110 => [1,1,1,1,2,1] => 1023
[7,1,4,3,6,5,8,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,1,5,6,3,4,8,2] => 1001001 => [1,2,1,2,1] => 603
[6,1,8,5,4,7,3,2] => 1011011 => [1,1,2,1,2] => 611
[7,6,1,5,4,2,8,3] => 1101101 => [2,1,2,1,1] => 594
[5,1,6,8,7,2,4,3] => 1001101 => [1,2,2,1,1] => 594
[4,6,7,5,3,1,8,2] => 0011101 => [2,3,1,1] => 256
[5,3,2,6,8,7,4,1] => 1100111 => [2,2,3] => 153
[5,4,6,2,8,7,3,1] => 1010111 => [1,1,1,1,3] => 450
[4,5,8,6,7,2,3,1] => 0010101 => [2,1,1,1,1,1] => 969
[4,5,7,6,1,2,8,3] => 0011001 => [2,2,2,1] => 357
[4,6,5,7,2,1,8,3] => 0101101 => [1,1,1,2,1,1] => 1006
[7,4,8,6,3,5,1,2] => 1011010 => [1,1,2,1,1,1] => 984
[7,2,4,3,6,1,8,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[2,3,4,7,8,6,1,5] => 0000110 => [4,2,1] => 85
[6,3,7,1,4,2,8,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,6,3,5,1,8,2,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[8,5,7,6,2,3,4,1] => 1011001 => [1,1,2,2,1] => 611
[3,5,6,7,8,9,2,4,1] => 00000101 => [5,1,1,1] => 240
[3,4,6,7,8,2,5,1] => 0000101 => [4,1,1,1] => 145
[2,4,6,7,8,9,1,3,5] => 00000100 => [5,1,2] => 138
[2,5,6,7,3,8,1,4] => 0001010 => [3,1,1,1,1] => 427
[2,5,6,7,8,9,3,1,4] => 00000110 => [5,2,1] => 138
[5,8,4,6,2,1,7,3] => 0101101 => [1,1,1,2,1,1] => 1006
[1,6,8,3,4,2,7,5] => 0010101 => [2,1,1,1,1,1] => 969
[4,1,7,6,2,8,3,5] => 1011010 => [1,1,2,1,1,1] => 984
[4,1,8,2,7,5,3,6] => 1010110 => [1,1,1,1,2,1] => 1023
[4,1,7,2,8,5,3,6] => 1010110 => [1,1,1,1,2,1] => 1023
[2,5,6,3,7,4,8,1] => 0010101 => [2,1,1,1,1,1] => 969
[2,6,5,3,8,4,7,1] => 0110101 => [1,2,1,1,1,1] => 969
[2,6,5,3,7,4,8,1] => 0110101 => [1,2,1,1,1,1] => 969
[7,1,6,3,5,4,8,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,7,3,2,8,4,1,6] => 0110110 => [1,2,1,2,1] => 603
[2,8,6,1,7,5,3,4] => 0110110 => [1,2,1,2,1] => 603
[8,1,5,2,7,4,3,6] => 1010110 => [1,1,1,1,2,1] => 1023
[7,1,4,2,8,5,3,6] => 1010110 => [1,1,1,1,2,1] => 1023
[2,6,8,1,7,5,3,4] => 0010110 => [2,1,1,2,1] => 603
[1,4,6,5,3,8,2,7] => 0011010 => [2,2,1,1,1] => 582
[2,4,5,8,7,1,3,6] => 0001100 => [3,2,2] => 153
[3,1,6,8,7,5,4,2] => 1001111 => [1,2,4] => 85
[3,1,8,7,5,6,4,2] => 1011011 => [1,1,2,1,2] => 611
[5,1,8,7,6,3,4,2] => 1011101 => [1,1,3,1,1] => 439
[8,2,7,5,3,6,4,1] => 1011011 => [1,1,2,1,2] => 611
[8,7,2,3,1,5,6,4] => 1101001 => [2,1,1,2,1] => 603
[2,8,5,7,6,1,3,4] => 0101100 => [1,1,1,2,2] => 622
[1,8,7,2,6,4,5,3] => 0110101 => [1,2,1,1,1,1] => 969
[8,7,2,1,6,4,5,3] => 1110101 => [3,1,1,1,1] => 427
[1,8,4,7,6,2,5,3] => 0101101 => [1,1,1,2,1,1] => 1006
[8,7,1,6,4,3,5,2] => 1101101 => [2,1,2,1,1] => 594
[8,4,1,7,3,6,5,2] => 1101011 => [2,1,1,1,2] => 603
[5,4,6,3,8,1,7,2,9] => 10101010 => [1,1,1,1,1,1,1,1] => 10176
[1,6,5,7,4,9,2,8,3] => 01010101 => [1,1,1,1,1,1,1,1] => 10176
[5,4,8,1,7,2,6,3,9] => 10101010 => [1,1,1,1,1,1,1,1] => 10176
[5,4,8,1,6,3,7,2,9] => 10101010 => [1,1,1,1,1,1,1,1] => 10176
[1,6,5,9,2,8,3,7,4] => 01010101 => [1,1,1,1,1,1,1,1] => 10176
[1,6,5,9,2,7,4,8,3] => 01010101 => [1,1,1,1,1,1,1,1] => 10176
[8,3,6,2,1,5,4,7] => 1011010 => [1,1,2,1,1,1] => 984
[2,5,6,7,8,1,9,3,4] => 00001010 => [4,1,1,1,1] => 888
[4,5,6,7,1,2,8,3,9] => 00010010 => [3,1,2,1,1] => 1560
[1,3,6,7,8,9,2,4,5] => 00000100 => [5,1,2] => 138
[3,5,6,7,8,1,2,9,4] => 00001001 => [4,1,2,1] => 526
[1,7,3,6,8,2,5,4] => 0100101 => [1,1,2,1,1,1] => 984
[4,5,1,8,7,3,6,2] => 0101101 => [1,1,1,2,1,1] => 1006
[3,8,5,2,6,7,4,1] => 0110011 => [1,2,2,2] => 363
[3,6,4,7,5,2,1,8] => 0101110 => [1,1,1,3,1] => 450
[5,7,4,1,2,6,8,3] => 0110001 => [1,2,3,1] => 262
[2,8,6,7,5,3,1,4] => 0101110 => [1,1,1,3,1] => 450
[7,4,5,2,6,3,1,8] => 1010110 => [1,1,1,1,2,1] => 1023
[8,6,3,4,5,1,7,2] => 1100101 => [2,2,1,1,1] => 582
[8,6,3,5,4,1,7,2] => 1101101 => [2,1,2,1,1] => 594
[8,7,4,5,1,3,6,2] => 1101001 => [2,1,1,2,1] => 603
[8,6,2,5,3,1,4,7] => 1101100 => [2,1,2,2] => 363
[8,4,7,3,1,2,5,6] => 1011000 => [1,1,2,3] => 265
[8,7,3,5,1,6,4,2] => 1101011 => [2,1,1,1,2] => 603
[4,8,3,2,6,1,7,5] => 0110101 => [1,2,1,1,1,1] => 969
[4,3,7,6,1,5,2,8] => 1011010 => [1,1,2,1,1,1] => 984
[7,5,4,3,6,1,8,2] => 1110101 => [3,1,1,1,1] => 427
[4,6,8,5,3,1,2,7] => 0011100 => [2,3,2] => 153
[5,6,8,4,3,7,2,1] => 0011011 => [2,2,1,2] => 357
[7,5,8,4,2,1,6,3] => 1011101 => [1,1,3,1,1] => 439
[1,4,8,7,6,2,5,3] => 0011101 => [2,3,1,1] => 256
[7,2,4,1,5,3,8,6] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,5,3,4,1,7,2,6] => 1101010 => [2,1,1,1,1,1] => 969
[2,8,5,4,3,6,1,7] => 0111010 => [1,3,1,1,1] => 427
[8,6,5,3,1,2,7,4] => 1111001 => [4,2,1] => 85
[7,4,6,5,3,2,8,1] => 1011101 => [1,1,3,1,1] => 439
[5,6,7,2,3,8,4,1] => 0010011 => [2,1,2,2] => 363
[8,4,2,6,5,7,3,1] => 1101011 => [2,1,1,1,2] => 603
[1,7,4,2,8,5,6,3] => 0110101 => [1,2,1,1,1,1] => 969
[3,2,1,7,4,6,8,5] => 1101001 => [2,1,1,2,1] => 603
[6,2,5,7,1,4,3,8] => 1001010 => [1,2,1,1,1,1] => 969
[4,8,5,3,1,2,6,7] => 0111000 => [1,3,3] => 110
[8,5,2,4,6,1,3,7] => 1100100 => [2,2,1,2] => 357
[1,5,3,4,7,2,6,8] => 0100100 => [1,1,2,1,2] => 611
[8,4,6,1,5,7,3,2] => 1010011 => [1,1,1,2,2] => 622
[6,4,7,2,1,3,8,5] => 1011001 => [1,1,2,2,1] => 611
[6,7,3,1,2,4,8,5] => 0110001 => [1,2,3,1] => 262
[3,1,8,7,6,2,5,4] => 1011101 => [1,1,3,1,1] => 439
[1,3,8,6,7,2,5,4] => 0010101 => [2,1,1,1,1,1] => 969
[5,2,3,6,1,8,4,7] => 1001010 => [1,2,1,1,1,1] => 969
[3,2,6,4,7,1,5,8] => 1010100 => [1,1,1,1,1,2] => 1023
[3,6,2,5,7,8,4,1] => 0100011 => [1,1,3,2] => 265
[2,7,4,6,8,3,5,1] => 0100101 => [1,1,2,1,1,1] => 984
[3,7,6,8,1,5,4,2] => 0101011 => [1,1,1,1,1,2] => 1023
[1,5,7,6,8,4,2,3] => 0010110 => [2,1,1,2,1] => 603
[2,7,4,6,8,5,3,1] => 0100111 => [1,1,2,3] => 265
[3,7,6,8,5,1,4,2] => 0101101 => [1,1,1,2,1,1] => 1006
[7,1,3,8,6,2,4,5] => 1001100 => [1,2,2,2] => 363
[2,7,1,8,6,5,3,4] => 0101110 => [1,1,1,3,1] => 450
[2,3,4,5,7,6,8,9,1] => 00001001 => [4,1,2,1] => 526
[2,3,4,5,7,8,6,9,1] => 00000101 => [5,1,1,1] => 240
[2,3,4,5,8,7,6,9,1] => 00001101 => [4,2,1,1] => 522
[2,3,4,5,7,9,8,6,1] => 00000111 => [5,3] => 56
[4,5,6,3,7,8,9,2,1] => 00100011 => [2,1,3,2] => 946
[8,1,5,2,6,4,7,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,6,7,5,1,2,3,8] => 0011000 => [2,2,3] => 153
[5,3,4,7,6,2,1,8] => 1001110 => [1,2,3,1] => 262
[4,1,8,5,7,2,6,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,1,8,2,7,5,6,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,6,8,2,4,3,5,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,4,5,3,8,1,6,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,3,6,1,4,2,8,5] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,7,2,6,4,5,1,3] => 1101010 => [2,1,1,1,1,1] => 969
[1,2,3,4,7,9,5,6,8] => 00000100 => [5,1,2] => 138
[1,2,3,4,6,7,9,5,8] => 00000010 => [6,1,1] => 50
[1,2,3,4,8,5,6,9,7] => 00001001 => [4,1,2,1] => 526
[1,2,3,4,7,8,5,9,6] => 00000101 => [5,1,1,1] => 240
[2,6,4,8,3,5,1,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,4,8,5,3,2,7,6] => 0011101 => [2,3,1,1] => 256
[3,5,8,4,6,7,1,2] => 0010010 => [2,1,2,1,1] => 594
[1,2,4,8,5,7,3,6] => 0001010 => [3,1,1,1,1] => 427
[7,3,4,1,8,2,5,6] => 1010100 => [1,1,1,1,1,2] => 1023
[5,6,3,1,8,2,4,7] => 0110100 => [1,2,1,1,2] => 603
[7,3,6,5,1,8,4,2] => 1011011 => [1,1,2,1,2] => 611
[5,7,2,1,4,8,6,3] => 0110011 => [1,2,2,2] => 363
[7,6,3,5,2,1,8,4] => 1101101 => [2,1,2,1,1] => 594
[7,3,2,5,1,6,8,4] => 1101001 => [2,1,1,2,1] => 603
[3,5,1,7,6,4,8,2] => 0101101 => [1,1,1,2,1,1] => 1006
[8,7,4,2,1,6,5,3] => 1111011 => [4,1,2] => 85
[5,4,7,6,2,1,8,3] => 1011101 => [1,1,3,1,1] => 439
[3,5,2,8,7,1,6,4] => 0101101 => [1,1,1,2,1,1] => 1006
[3,7,6,5,4,1,8,2] => 0111101 => [1,4,1,1] => 145
[4,6,5,3,1,8,7,2] => 0111011 => [1,3,1,2] => 259
[4,5,2,6,7,3,8,1] => 0100101 => [1,1,2,1,1,1] => 984
[8,6,7,4,3,1,5,2] => 1011101 => [1,1,3,1,1] => 439
[4,7,1,8,5,3,2,6] => 0101110 => [1,1,1,3,1] => 450
[8,6,7,1,4,3,5,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,6,7,2,1,3,5,4] => 1011001 => [1,1,2,2,1] => 611
[8,5,6,1,7,4,2,3] => 1010110 => [1,1,1,1,2,1] => 1023
[6,4,1,2,5,7,8,3] => 1100001 => [2,4,1] => 85
[6,1,5,4,2,7,3,8] => 1011010 => [1,1,2,1,1,1] => 984
[6,4,2,3,1,7,5,8] => 1101010 => [2,1,1,1,1,1] => 969
[3,4,6,1,8,2,7,5] => 0010101 => [2,1,1,1,1,1] => 969
[5,3,1,4,7,6,2,8] => 1100110 => [2,2,2,1] => 357
[6,4,5,2,7,1,3,8] => 1010100 => [1,1,1,1,1,2] => 1023
[7,4,3,5,1,6,2,8] => 1101010 => [2,1,1,1,1,1] => 969
[7,5,3,6,2,1,4,8] => 1101100 => [2,1,2,2] => 363
[6,4,3,7,1,8,2,5] => 1101010 => [2,1,1,1,1,1] => 969
[3,1,2,7,6,4,5,8] => 1001100 => [1,2,2,2] => 363
[5,1,2,7,6,3,4,8] => 1001100 => [1,2,2,2] => 363
[5,6,1,7,2,4,3,8] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,5,6,8,1,2,7,4] => 0001001 => [3,1,2,1] => 259
[2,6,5,7,1,3,4,8] => 0101000 => [1,1,1,1,3] => 450
[2,3,7,1,5,6,4,8] => 0010010 => [2,1,2,1,1] => 594
[2,6,5,3,4,1,7,8] => 0110100 => [1,2,1,1,2] => 603
[2,6,1,3,5,4,7,8] => 0100100 => [1,1,2,1,2] => 611
[4,6,1,5,2,8,7,3] => 0101011 => [1,1,1,1,1,2] => 1023
[6,1,5,4,2,7,8,3] => 1011001 => [1,1,2,2,1] => 611
[4,6,1,5,2,7,8,3] => 0101001 => [1,1,1,1,2,1] => 1023
[2,8,6,5,1,3,7,4] => 0111001 => [1,3,2,1] => 259
[5,1,8,6,2,7,4,3] => 1011011 => [1,1,2,1,2] => 611
[3,6,8,2,7,5,1,4] => 0010110 => [2,1,1,2,1] => 603
[5,6,4,1,7,2,8,3] => 0110101 => [1,2,1,1,1,1] => 969
[8,1,6,3,4,2,5,7] => 1010100 => [1,1,1,1,1,2] => 1023
[7,4,2,3,1,6,8,5] => 1101001 => [2,1,1,2,1] => 603
[8,7,9,6,5,4,2,1,3] => 10111110 => [1,1,5,1] => 244
[8,9,7,6,5,4,2,1,3] => 01111110 => [1,6,1] => 50
[8,9,7,6,5,4,2,3,1] => 01111101 => [1,5,1,1] => 240
[1,6,4,5,7,3,2,8] => 0100110 => [1,1,2,2,1] => 611
[1,6,4,5,7,2,8,3] => 0100101 => [1,1,2,1,1,1] => 984
[1,7,5,6,4,8,3,2] => 0101011 => [1,1,1,1,1,2] => 1023
[1,5,6,7,3,2,4,8] => 0001100 => [3,2,2] => 153
[8,2,4,3,1,7,5,6] => 1011010 => [1,1,2,1,1,1] => 984
[8,2,1,4,3,7,5,6] => 1101010 => [2,1,1,1,1,1] => 969
[7,6,8,2,1,5,3,4] => 1011010 => [1,1,2,1,1,1] => 984
[8,6,2,5,1,3,7,4] => 1101001 => [2,1,1,2,1] => 603
[5,7,2,6,4,1,8,3] => 0101101 => [1,1,1,2,1,1] => 1006
[4,5,6,1,3,8,2,7] => 0010010 => [2,1,2,1,1] => 594
[6,3,5,7,4,2,8,1] => 1001101 => [1,2,2,1,1] => 594
[7,6,4,8,5,3,1,2] => 1101110 => [2,1,3,1] => 262
[8,2,1,6,4,7,3,5] => 1101010 => [2,1,1,1,1,1] => 969
[1,3,8,6,5,2,7,4] => 0011101 => [2,3,1,1] => 256
[2,7,3,8,5,6,4,1] => 0101011 => [1,1,1,1,1,2] => 1023
[1,2,8,5,7,4,6,3] => 0010101 => [2,1,1,1,1,1] => 969
[1,6,8,5,4,7,2,3] => 0011010 => [2,2,1,1,1] => 582
[5,7,1,8,3,2,6,4] => 0101101 => [1,1,1,2,1,1] => 1006
[2,1,3,8,6,4,7,5] => 1001101 => [1,2,2,1,1] => 594
[8,2,5,4,3,7,1,6] => 1011010 => [1,1,2,1,1,1] => 984
[5,8,4,3,7,6,2,1] => 0110111 => [1,2,1,3] => 262
[8,1,5,3,4,7,2,6] => 1010010 => [1,1,1,2,1,1] => 1006
[6,1,8,7,4,5,3,2] => 1011011 => [1,1,2,1,2] => 611
[1,5,8,6,4,3,7,2] => 0011101 => [2,3,1,1] => 256
[5,8,6,4,2,1,7,3] => 0111101 => [1,4,1,1] => 145
[2,6,1,8,4,7,5,3] => 0101011 => [1,1,1,1,1,2] => 1023
[5,3,8,6,1,2,7,4] => 1011001 => [1,1,2,2,1] => 611
[5,8,1,4,6,2,7,3] => 0100101 => [1,1,2,1,1,1] => 984
[3,7,6,2,1,4,8,5] => 0111001 => [1,3,2,1] => 259
[4,6,2,3,7,1,8,5] => 0100101 => [1,1,2,1,1,1] => 984
[6,8,7,5,1,3,4,2] => 0111001 => [1,3,2,1] => 259
[6,4,3,2,7,8,5,1] => 1110011 => [3,2,2] => 153
[2,7,6,1,5,3,8,4] => 0110101 => [1,2,1,1,1,1] => 969
[7,8,6,4,2,5,3,1] => 0111011 => [1,3,1,2] => 259
[6,4,5,8,7,1,3,2] => 1001101 => [1,2,2,1,1] => 594
[6,4,1,7,8,3,2,5] => 1100110 => [2,2,2,1] => 357
[2,3,4,5,8,6,7,9,1] => 00001001 => [4,1,2,1] => 526
[2,3,4,5,9,6,8,7,1] => 00001011 => [4,1,1,2] => 526
[9,3,4,5,2,6,7,8,1] => 10010001 => [1,2,1,3,1] => 1612
[6,4,3,8,7,2,5,1] => 1101101 => [2,1,2,1,1] => 594
[5,4,7,2,1,3,8,6] => 1011001 => [1,1,2,2,1] => 611
[7,8,2,3,4,5,1,6,9] => 01000100 => [1,1,3,1,2] => 1608
[1,8,9,3,4,5,6,2,7] => 00100010 => [2,1,3,1,1] => 1580
[2,6,4,5,7,1,8,3] => 0100101 => [1,1,2,1,1,1] => 984
[3,7,4,6,1,5,8,2] => 0101001 => [1,1,1,1,2,1] => 1023
[3,4,6,5,2,8,1,7] => 0011010 => [2,2,1,1,1] => 582
[4,6,7,5,8,2,1,3] => 0010110 => [2,1,1,2,1] => 603
[2,5,7,6,4,1,8,3] => 0011101 => [2,3,1,1] => 256
[5,1,4,6,2,7,8,3] => 1001001 => [1,2,1,2,1] => 603
[1,2,5,3,7,8,6,4] => 0010011 => [2,1,2,2] => 363
[4,8,3,5,1,2,7,6] => 0101001 => [1,1,1,1,2,1] => 1023
[6,1,3,7,2,8,4,5] => 1001010 => [1,2,1,1,1,1] => 969
[3,8,5,4,1,7,2,6] => 0111010 => [1,3,1,1,1] => 427
[3,1,5,8,2,6,7,4] => 1001001 => [1,2,1,2,1] => 603
[2,8,5,3,1,7,4,6] => 0111010 => [1,3,1,1,1] => 427
[6,5,2,3,7,1,8,4] => 1100101 => [2,2,1,1,1] => 582
[7,2,1,6,4,8,3,5] => 1101010 => [2,1,1,1,1,1] => 969
[2,1,3,7,5,8,4,6] => 1001010 => [1,2,1,1,1,1] => 969
[6,2,4,5,7,1,8,3] => 1000101 => [1,3,1,1,1] => 427
[2,3,8,7,1,4,6,5] => 0011001 => [2,2,2,1] => 357
[4,2,7,5,6,8,1,3] => 1010010 => [1,1,1,2,1,1] => 1006
[2,1,3,4,5,8,6,7,9] => 10000100 => [1,4,1,2] => 526
[6,8,2,5,4,7,3,1] => 0101011 => [1,1,1,1,1,2] => 1023
[9,2,3,4,5,1,6,7,8] => 10001000 => [1,3,1,3] => 676
[7,2,3,4,5,6,9,1,8] => 10000010 => [1,5,1,1] => 240
[6,2,3,4,5,9,1,7,8] => 10000100 => [1,4,1,2] => 526
[5,2,3,4,9,1,6,7,8] => 10001000 => [1,3,1,3] => 676
[4,2,3,9,1,5,6,7,8] => 10010000 => [1,2,1,4] => 534
[3,2,9,1,4,5,6,7,8] => 10100000 => [1,1,1,5] => 244
[2,7,6,3,8,4,5,1] => 0110101 => [1,2,1,1,1,1] => 969
[4,6,8,2,3,1,7,5] => 0010101 => [2,1,1,1,1,1] => 969
[4,7,2,3,5,1,8,6] => 0100101 => [1,1,2,1,1,1] => 984
[6,4,2,1,3,7,5,8] => 1110010 => [3,2,1,1] => 256
[5,3,2,7,6,1,8,4] => 1101101 => [2,1,2,1,1] => 594
[5,6,4,2,8,7,1,3] => 0110110 => [1,2,1,2,1] => 603
[5,7,4,2,6,1,8,3] => 0110101 => [1,2,1,1,1,1] => 969
[5,4,7,1,6,2,8,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,5,8,7,6,2,1,3] => 0011110 => [2,4,1] => 85
[6,4,7,1,2,3,8,5] => 1010001 => [1,1,1,3,1] => 450
[1,8,7,2,3,4,6,5] => 0110001 => [1,2,3,1] => 262
[1,8,3,7,6,2,5,4] => 0101101 => [1,1,1,2,1,1] => 1006
[1,3,8,2,5,6,4,7] => 0010010 => [2,1,2,1,1] => 594
[1,3,2,7,4,6,8,5] => 0101001 => [1,1,1,1,2,1] => 1023
[1,3,8,4,6,2,7,5] => 0010101 => [2,1,1,1,1,1] => 969
[8,2,3,6,7,4,5,1] => 1000101 => [1,3,1,1,1] => 427
[5,6,4,2,1,7,3,8] => 0111010 => [1,3,1,1,1] => 427
[2,5,7,6,3,8,4,1] => 0011011 => [2,2,1,2] => 357
[6,4,7,1,2,5,3,8] => 1010010 => [1,1,1,2,1,1] => 1006
[4,5,6,7,8,1,3,9,2] => 00001001 => [4,1,2,1] => 526
[1,2,7,5,8,6,3,4] => 0010110 => [2,1,1,2,1] => 603
[2,1,9,8,7,6,5,3,4] => 10111110 => [1,1,5,1] => 244
[2,1,9,8,7,6,4,3,5] => 10111110 => [1,1,5,1] => 244
[2,1,9,8,7,6,3,5,4] => 10111101 => [1,1,4,1,1] => 912
[7,4,5,1,6,8,2,3] => 1010010 => [1,1,1,2,1,1] => 1006
[1,7,8,4,2,6,3,5] => 0011010 => [2,2,1,1,1] => 582
[6,3,2,5,7,4,1,8] => 1100110 => [2,2,2,1] => 357
[6,2,1,5,3,7,8,4] => 1101001 => [2,1,1,2,1] => 603
[6,2,5,1,3,8,7,4] => 1010011 => [1,1,1,2,2] => 622
[6,2,8,5,1,3,7,4] => 1011001 => [1,1,2,2,1] => 611
[4,1,7,8,3,6,5,2] => 1001011 => [1,2,1,1,2] => 603
[6,4,2,1,7,3,5,8] => 1110100 => [3,1,1,2] => 259
[5,8,4,2,1,3,6,7] => 0111000 => [1,3,3] => 110
[4,5,3,6,7,8,9,1,2] => 01000010 => [1,1,4,1,1] => 912
[5,3,4,6,7,8,9,1,2] => 10000010 => [1,5,1,1] => 240
[1,7,5,8,4,3,6,2] => 0101101 => [1,1,1,2,1,1] => 1006
[5,8,1,6,4,7,2,3] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,4,7,5,1,8,6,3] => 0011011 => [2,2,1,2] => 357
[2,3,7,1,8,5,6,4] => 0010101 => [2,1,1,1,1,1] => 969
[6,5,1,2,7,4,8,3] => 1100101 => [2,2,1,1,1] => 582
[3,6,5,7,8,2,4,1] => 0100101 => [1,1,2,1,1,1] => 984
[3,6,5,1,8,7,4,2] => 0110111 => [1,2,1,3] => 262
[7,8,1,2,5,4,3,6] => 0100110 => [1,1,2,2,1] => 611
[2,8,4,3,5,1,7,6] => 0110101 => [1,2,1,1,1,1] => 969
[5,2,4,7,6,8,1,3] => 1001010 => [1,2,1,1,1,1] => 969
[3,1,5,7,4,8,6,2] => 1001011 => [1,2,1,1,2] => 603
[4,1,7,6,8,2,5,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,2,6,4,1,5,3,8] => 1011010 => [1,1,2,1,1,1] => 984
[1,2,6,5,8,3,7,4] => 0010101 => [2,1,1,1,1,1] => 969
[7,3,5,6,1,4,2,8] => 1001010 => [1,2,1,1,1,1] => 969
[5,8,3,1,6,7,4,2] => 0110011 => [1,2,2,2] => 363
[4,5,8,1,7,3,6,2] => 0010101 => [2,1,1,1,1,1] => 969
[4,7,1,6,8,5,2,3] => 0100110 => [1,1,2,2,1] => 611
[5,8,7,1,6,4,2,3] => 0110110 => [1,2,1,2,1] => 603
[1,7,3,8,2,5,4,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[8,4,1,3,6,7,5,2] => 1100011 => [2,3,2] => 153
[5,3,1,8,6,7,4,2] => 1101011 => [2,1,1,1,2] => 603
[6,2,7,1,4,3,5,8] => 1010100 => [1,1,1,1,1,2] => 1023
[9,5,4,3,2,1,6,7,8] => 11111000 => [5,3] => 56
[8,3,2,6,5,1,7,4] => 1101101 => [2,1,2,1,1] => 594
[7,3,2,6,5,1,4,8] => 1101100 => [2,1,2,2] => 363
[2,6,8,4,7,1,3,5] => 0010100 => [2,1,1,1,2] => 603
[7,8,6,3,2,5,4,1] => 0111011 => [1,3,1,2] => 259
[5,2,8,6,3,1,4,7] => 1011100 => [1,1,3,2] => 265
[1,6,4,8,2,3,5,7] => 0101000 => [1,1,1,1,3] => 450
[2,8,5,6,4,1,7,3] => 0101101 => [1,1,1,2,1,1] => 1006
[1,4,7,3,5,8,6,2] => 0010011 => [2,1,2,2] => 363
[3,7,8,2,5,1,6,4] => 0010101 => [2,1,1,1,1,1] => 969
[8,6,1,4,3,2,7,5] => 1101101 => [2,1,2,1,1] => 594
[7,3,8,2,4,1,5,6] => 1010100 => [1,1,1,1,1,2] => 1023
[6,3,7,8,1,2,5,4] => 1001001 => [1,2,1,2,1] => 603
[7,6,1,5,2,3,8,4] => 1101001 => [2,1,1,2,1] => 603
[5,1,8,6,7,2,3,4] => 1010100 => [1,1,1,1,1,2] => 1023
[5,7,1,6,8,2,3,4] => 0100100 => [1,1,2,1,2] => 611
[6,8,4,2,1,7,3,5] => 0111010 => [1,3,1,1,1] => 427
[6,3,2,8,1,7,4,5] => 1101010 => [2,1,1,1,1,1] => 969
[6,4,1,3,7,8,5,2] => 1100011 => [2,3,2] => 153
[6,8,5,4,3,7,1,2] => 0111010 => [1,3,1,1,1] => 427
[5,7,4,8,3,1,2,6] => 0101100 => [1,1,1,2,2] => 622
[6,1,2,4,8,3,7,5] => 1000101 => [1,3,1,1,1] => 427
[2,5,6,8,1,4,7,3] => 0001001 => [3,1,2,1] => 259
[7,4,1,6,5,2,3,8] => 1101100 => [2,1,2,2] => 363
[4,1,6,5,2,3,8,7] => 1011001 => [1,1,2,2,1] => 611
[4,5,1,7,8,6,2,3] => 0100110 => [1,1,2,2,1] => 611
[8,5,7,3,4,6,2,1] => 1010011 => [1,1,1,2,2] => 622
[6,8,7,4,3,5,2,1] => 0111011 => [1,3,1,2] => 259
[6,8,7,5,3,4,2,1] => 0111011 => [1,3,1,2] => 259
[5,8,6,2,4,7,3,1] => 0110011 => [1,2,2,2] => 363
[4,8,6,2,5,7,3,1] => 0110011 => [1,2,2,2] => 363
[1,6,4,7,5,3,2,8] => 0101110 => [1,1,1,3,1] => 450
[1,6,5,3,2,7,4,8] => 0111010 => [1,3,1,1,1] => 427
[1,6,8,7,4,5,3,2] => 0011011 => [2,2,1,2] => 357
[1,4,7,5,3,2,6,8] => 0011100 => [2,3,2] => 153
[1,7,5,4,3,2,8,6] => 0111101 => [1,4,1,1] => 145
[1,4,7,5,3,2,8,6] => 0011101 => [2,3,1,1] => 256
[1,7,4,6,8,5,3,2] => 0100111 => [1,1,2,3] => 265
[6,8,7,2,3,5,4,1] => 0110011 => [1,2,2,2] => 363
[5,7,6,1,8,2,4,3] => 0110101 => [1,2,1,1,1,1] => 969
[4,8,6,5,7,2,3,1] => 0110101 => [1,2,1,1,1,1] => 969
[2,7,8,5,1,4,3,6] => 0011010 => [2,2,1,1,1] => 582
[8,5,6,2,4,7,3,1] => 1010011 => [1,1,1,2,2] => 622
[3,5,8,4,2,6,1,7] => 0011010 => [2,2,1,1,1] => 582
[8,1,3,6,4,5,2,7] => 1001010 => [1,2,1,1,1,1] => 969
[1,2,3,7,4,8,5,9,6] => 00010101 => [3,1,1,1,1,1] => 2592
[1,2,3,4,7,5,9,8,6] => 00001011 => [4,1,1,2] => 526
[1,2,6,3,7,4,9,8,5] => 00101011 => [2,1,1,1,1,2] => 3696
[1,2,3,8,6,4,9,7,5] => 00011011 => [3,2,1,2] => 924
[1,2,3,6,4,9,8,7,5] => 00010111 => [3,1,1,3] => 676
[5,1,6,2,7,3,9,8,4] => 10101011 => [1,1,1,1,1,1,2] => 6344
[1,5,2,8,6,3,9,7,4] => 01011011 => [1,1,1,2,1,2] => 3790
[1,5,2,6,3,9,8,7,4] => 01010111 => [1,1,1,1,1,3] => 2790
[1,2,7,5,3,9,8,6,4] => 00110111 => [2,2,1,3] => 934
[1,2,5,3,9,8,7,6,4] => 00101111 => [2,1,1,4] => 534
[4,1,7,5,2,9,8,6,3] => 10110111 => [1,1,2,1,3] => 1626
[4,1,5,2,9,8,7,6,3] => 10101111 => [1,1,1,1,4] => 934
[1,6,4,2,9,8,7,5,3] => 01101111 => [1,2,1,4] => 534
[1,4,2,9,8,7,6,5,3] => 01011111 => [1,1,1,5] => 244
[7,5,3,1,9,8,6,4,2] => 11101111 => [3,1,4] => 220
[5,3,1,9,8,7,6,4,2] => 11011111 => [2,1,5] => 138
[4,3,1,6,2,5,8,7] => 1101001 => [2,1,1,2,1] => 603
[7,5,2,1,8,4,3,6] => 1110110 => [3,1,2,1] => 259
[5,3,1,4,7,8,2,6] => 1100010 => [2,3,1,1] => 256
[7,1,2,4,8,3,5,6] => 1000100 => [1,3,1,2] => 259
[8,6,1,3,5,7,4,2] => 1100011 => [2,3,2] => 153
[7,1,5,8,2,3,4,6] => 1001000 => [1,2,1,3] => 262
[3,6,8,5,1,4,2,7] => 0011010 => [2,2,1,1,1] => 582
[5,2,4,1,6,8,3,7] => 1010010 => [1,1,1,2,1,1] => 1006
[2,5,3,4,6,8,1,7] => 0100010 => [1,1,3,1,1] => 439
[4,7,1,2,5,6,3,8] => 0100010 => [1,1,3,1,1] => 439
[6,7,3,1,8,2,4,5] => 0110100 => [1,2,1,1,2] => 603
[7,3,1,4,6,2,8,5] => 1100101 => [2,2,1,1,1] => 582
[7,4,1,2,5,6,3,8] => 1100010 => [2,3,1,1] => 256
[5,4,1,3,6,8,7,2] => 1100011 => [2,3,2] => 153
[5,7,4,8,1,6,3,2] => 0101011 => [1,1,1,1,1,2] => 1023
[4,3,1,2,5,7,6,8] => 1100010 => [2,3,1,1] => 256
[2,3,4,5,8,7,6,1,9] => 00001110 => [4,3,1] => 220
[1,3,4,5,6,9,8,7,2] => 00000111 => [5,3] => 56
[1,2,3,4,5,8,9,7,6] => 00000011 => [6,2] => 28
[1,2,3,4,8,9,6,7,5] => 00000101 => [5,1,1,1] => 240
[1,2,3,8,9,5,6,7,4] => 00001001 => [4,1,2,1] => 526
[1,2,4,7,8,5,6,3] => 0000101 => [4,1,1,1] => 145
[1,2,8,9,4,5,6,7,3] => 00010001 => [3,1,3,1] => 676
[8,3,6,5,7,4,2,1] => 1010111 => [1,1,1,1,3] => 450
[8,2,6,5,7,4,3,1] => 1010111 => [1,1,1,1,3] => 450
[8,4,7,1,5,2,6,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,2,6,3,7,5,4,1] => 1010111 => [1,1,1,1,3] => 450
[8,2,5,3,7,6,4,1] => 1010111 => [1,1,1,1,3] => 450
[8,5,7,1,4,3,6,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,3,1,8,4,2,6,7] => 1101100 => [2,1,2,2] => 363
[4,5,3,6,8,7,1,2] => 0100110 => [1,1,2,2,1] => 611
[2,1,6,5,8,7,3,4] => 1010110 => [1,1,1,1,2,1] => 1023
[6,1,5,4,7,3,8,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[9,4,2,3,5,6,7,8,1] => 11000001 => [2,5,1] => 138
[3,1,8,4,2,7,6,5] => 1011011 => [1,1,2,1,2] => 611
[2,8,7,4,1,3,6,5] => 0111001 => [1,3,2,1] => 259
[8,2,3,1,7,6,4,5] => 1010110 => [1,1,1,1,2,1] => 1023
[8,7,2,3,1,6,4,5] => 1101010 => [2,1,1,1,1,1] => 969
[7,2,5,8,3,1,4,6] => 1001100 => [1,2,2,2] => 363
[6,8,2,3,1,7,4,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[8,2,5,7,3,1,4,6] => 1001100 => [1,2,2,2] => 363
[8,2,7,3,1,4,5,6] => 1011000 => [1,1,2,3] => 265
[5,3,2,8,7,1,6,4] => 1101101 => [2,1,2,1,1] => 594
[8,6,7,4,1,3,5,2] => 1011001 => [1,1,2,2,1] => 611
[4,1,3,6,5,2,8,7] => 1001101 => [1,2,2,1,1] => 594
[4,6,3,2,5,1,8,7] => 0110101 => [1,2,1,1,1,1] => 969
[4,8,3,2,6,5,7,1] => 0110101 => [1,2,1,1,1,1] => 969
[4,8,3,6,5,2,7,1] => 0101101 => [1,1,1,2,1,1] => 1006
[8,1,6,2,5,4,7,3] => 1010101 => [1,1,1,1,1,1,1] => 1623
[2,4,3,8,6,1,7,5] => 0101101 => [1,1,1,2,1,1] => 1006
[2,6,3,8,5,4,7,1] => 0101101 => [1,1,1,2,1,1] => 1006
[6,1,3,2,5,8,7,4] => 1010011 => [1,1,1,2,2] => 622
[6,8,4,2,5,3,7,1] => 0110101 => [1,2,1,1,1,1] => 969
[6,8,4,3,5,2,7,1] => 0110101 => [1,2,1,1,1,1] => 969
[8,1,4,6,5,3,7,2] => 1001101 => [1,2,2,1,1] => 594
[1,4,2,5,6,7,9,8,3] => 01000011 => [1,1,4,2] => 538
[2,1,4,5,6,9,7,3,8] => 10000110 => [1,4,2,1] => 526
[3,5,4,6,1,2,8,7] => 0101001 => [1,1,1,1,2,1] => 1023
[3,1,5,2,9,6,7,8,4] => 10101001 => [1,1,1,1,1,2,1] => 6344
[4,5,1,6,8,7,9,2,3] => 01001010 => [1,1,2,1,1,1,1] => 6040
[2,3,1,5,9,6,7,4,8] => 01001010 => [1,1,2,1,1,1,1] => 6040
[1,2,4,5,7,9,6,3,8] => 00000110 => [5,2,1] => 138
[3,4,6,5,7,1,2,9,8] => 00101001 => [2,1,1,1,2,1] => 3696
[3,1,9,4,2,6,7,8,5] => 10110001 => [1,1,2,3,1] => 1626
[7,3,5,6,1,8,2,4] => 1001010 => [1,2,1,1,1,1] => 969
[1,2,5,3,9,6,8,7,4] => 00101011 => [2,1,1,1,1,2] => 3696
[4,5,1,7,6,8,2,9,3] => 01010101 => [1,1,1,1,1,1,1,1] => 10176
[5,7,6,3,4,2,8,1] => 0110101 => [1,2,1,1,1,1] => 969
[4,6,7,2,3,5,8,1] => 0010001 => [2,1,3,1] => 262
[6,5,4,8,7,2,3,1] => 1101101 => [2,1,2,1,1] => 594
[4,8,7,6,5,3,2,1,9] => 01111110 => [1,6,1] => 50
[5,8,7,4,6,3,2,1,9] => 01101110 => [1,2,1,3,1] => 1612
[8,4,7,6,5,3,2,1,9] => 10111110 => [1,1,5,1] => 244
[5,7,4,3,6,2,1,8] => 0110110 => [1,2,1,2,1] => 603
[6,9,8,5,7,4,1,3,2] => 01101101 => [1,2,1,2,1,1] => 3652
[9,8,7,5,1,6,4,3,2] => 11110111 => [4,1,3] => 220
[1,2,8,3,4,5,6,9,7] => 00100001 => [2,1,4,1] => 534
[1,9,5,2,3,8,4,6,7] => 01100100 => [1,2,2,1,2] => 2194
[1,8,2,9,4,3,5,6,7] => 01011000 => [1,1,1,2,3] => 1648
[1,3,2,4,9,8,5,6,7] => 01001100 => [1,1,2,2,2] => 2246
[2,1,3,4,5,9,8,6,7] => 10000110 => [1,4,2,1] => 526
[9,1,7,2,3,4,5,8,6] => 10100001 => [1,1,1,4,1] => 934
[1,8,5,2,3,4,6,9,7] => 01100001 => [1,2,4,1] => 534
[9,8,1,2,3,5,6,4,7] => 11000010 => [2,4,1,1] => 522
[1,4,2,3,9,5,6,8,7] => 01001001 => [1,1,2,1,2,1] => 3732
[1,8,5,6,2,3,7,4] => 0101001 => [1,1,1,1,2,1] => 1023
[4,9,8,1,2,5,3,6,7] => 01100100 => [1,2,2,1,2] => 2194
[1,3,2,4,5,9,6,8,7] => 01000101 => [1,1,3,1,1,1] => 2652
[1,8,3,9,4,2,5,6,7] => 01011000 => [1,1,1,2,3] => 1648
[2,3,1,4,9,8,5,6,7] => 01001100 => [1,1,2,2,2] => 2246
[7,2,4,6,8,1,5,3] => 1000101 => [1,3,1,1,1] => 427
[6,2,5,4,7,8,1,3] => 1010010 => [1,1,1,2,1,1] => 1006
[3,8,2,6,1,7,4,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[8,5,6,1,3,2,7,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[5,3,7,8,2,6,1,4] => 1001010 => [1,2,1,1,1,1] => 969
[4,5,8,3,6,1,7,2] => 0010101 => [2,1,1,1,1,1] => 969
[4,5,8,7,2,3,1,6] => 0011010 => [2,2,1,1,1] => 582
[8,2,6,4,3,7,5,1] => 1011011 => [1,1,2,1,2] => 611
[6,3,1,8,7,4,5,2] => 1101101 => [2,1,2,1,1] => 594
[8,6,3,2,7,4,5,1] => 1110101 => [3,1,1,1,1] => 427
[1,3,6,8,7,4,5,2] => 0001101 => [3,2,1,1] => 256
[5,7,1,3,6,2,4,8] => 0100100 => [1,1,2,1,2] => 611
[4,7,5,2,3,6,8,1] => 0110001 => [1,2,3,1] => 262
[3,6,4,1,2,5,7,8] => 0110000 => [1,2,4] => 85
[4,7,1,3,2,5,8,6] => 0101001 => [1,1,1,1,2,1] => 1023
[4,7,1,3,2,6,8,5] => 0101001 => [1,1,1,1,2,1] => 1023
[5,7,1,3,6,2,8,4] => 0100101 => [1,1,2,1,1,1] => 984
[6,8,2,5,7,3,1,4] => 0100110 => [1,1,2,2,1] => 611
[4,8,5,2,3,6,1,7] => 0110010 => [1,2,2,1,1] => 594
[5,8,6,3,4,7,2,1] => 0110011 => [1,2,2,2] => 363
[3,7,5,4,2,8,1,6] => 0111010 => [1,3,1,1,1] => 427
[4,6,5,1,7,8,2,3] => 0110010 => [1,2,2,1,1] => 594
[4,7,1,3,2,8,5,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[3,6,5,1,8,2,4,7] => 0110100 => [1,2,1,1,2] => 603
[5,8,7,3,4,2,6,1] => 0110101 => [1,2,1,1,1,1] => 969
[8,7,6,5,4,1,9,3,2] => 11111011 => [5,1,2] => 138
[8,7,6,5,2,9,1,3,4] => 11110100 => [4,1,1,2] => 526
[8,7,6,3,9,2,1,4,5] => 11101100 => [3,1,2,2] => 936
[8,7,4,9,3,2,1,6,5] => 11011101 => [2,1,3,1,1] => 1580
[8,5,9,4,3,2,1,6,7] => 10111100 => [1,1,4,2] => 538
[6,9,5,4,3,2,1,7,8] => 01111100 => [1,5,2] => 138
[8,7,6,5,2,1,4,3,9] => 11111010 => [5,1,1,1] => 240
[8,7,6,3,2,5,1,4,9] => 11110100 => [4,1,1,2] => 526
[8,7,6,5,1,9,4,3,2] => 11110111 => [4,1,3] => 220
[8,7,4,3,6,2,1,9,5] => 11101101 => [3,1,2,1,1] => 1560
[8,7,6,2,9,5,1,3,4] => 11101100 => [3,1,2,2] => 936
[8,5,4,7,3,2,1,6,9] => 11011100 => [2,1,3,2] => 946
[8,7,3,9,6,2,1,4,5] => 11011100 => [2,1,3,2] => 946
[6,5,8,4,3,2,1,7,9] => 10111100 => [1,1,4,2] => 538
[8,4,9,7,3,2,1,6,5] => 10111101 => [1,1,4,1,1] => 912
[5,9,8,4,3,2,1,6,7] => 01111100 => [1,5,2] => 138
[8,5,2,3,7,4,6,1] => 1100101 => [2,2,1,1,1] => 582
[6,3,1,5,4,8,2,7] => 1101010 => [2,1,1,1,1,1] => 969
[4,7,6,3,5,2,8,1] => 0110101 => [1,2,1,1,1,1] => 969
[1,7,5,3,4,8,6,2] => 0110011 => [1,2,2,2] => 363
[5,8,2,3,4,7,6,1] => 0100011 => [1,1,3,2] => 265
[8,7,3,2,6,4,5,1] => 1110101 => [3,1,1,1,1] => 427
[8,3,1,4,7,5,2,6] => 1100110 => [2,2,2,1] => 357
[5,3,1,6,4,8,7,2] => 1101011 => [2,1,1,1,2] => 603
[3,4,8,5,7,2,6,1] => 0010101 => [2,1,1,1,1,1] => 969
[8,5,1,2,7,6,4,3] => 1100111 => [2,2,3] => 153
[8,2,6,3,1,5,4,7] => 1011010 => [1,1,2,1,1,1] => 984
[3,7,8,5,6,2,4,1] => 0010101 => [2,1,1,1,1,1] => 969
[7,4,3,6,2,5,8,1] => 1101001 => [2,1,1,2,1] => 603
[4,3,8,7,1,6,2,5] => 1011010 => [1,1,2,1,1,1] => 984
[1,5,3,8,4,7,2,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[8,2,3,1,6,5,7,4] => 1010101 => [1,1,1,1,1,1,1] => 1623
[8,4,2,7,1,3,6,5] => 1101001 => [2,1,1,2,1] => 603
[8,4,2,3,1,6,7,5] => 1101001 => [2,1,1,2,1] => 603
[4,7,2,3,6,5,8,1] => 0100101 => [1,1,2,1,1,1] => 984
[3,8,2,6,4,7,1,5] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,7,5,8,6,2,4,3] => 0101101 => [1,1,1,2,1,1] => 1006
[6,5,1,7,4,8,3,2] => 1101011 => [2,1,1,1,2] => 603
[7,6,3,5,1,4,8,2] => 1101001 => [2,1,1,2,1] => 603
[6,5,4,1,7,2,3,8] => 1110100 => [3,1,1,2] => 259
[8,3,6,1,7,4,5,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,1,2,6,4,8,3,5] => 1001010 => [1,2,1,1,1,1] => 969
[3,5,1,8,6,2,4,7] => 0101100 => [1,1,1,2,2] => 622
[8,7,5,6,4,3,2,1,9] => 11011110 => [2,1,4,1] => 534
[8,6,5,7,4,3,2,1,9] => 11011110 => [2,1,4,1] => 534
[9,8,7,6,4,3,2,5,1] => 11111101 => [6,1,1] => 50
[9,8,7,6,4,3,5,2,1] => 11111011 => [5,1,2] => 138
[8,5,6,7,4,3,2,1,9] => 10011110 => [1,2,4,1] => 534
[6,7,5,8,4,3,2,1,9] => 01011110 => [1,1,1,4,1] => 934
[8,9,7,6,4,3,2,1,5] => 01111110 => [1,6,1] => 50
[7,6,5,3,2,1,4,8,9] => 11111000 => [5,3] => 56
[9,8,7,6,4,3,5,1,2] => 11111010 => [5,1,1,1] => 240
[9,8,7,6,4,5,2,3,1] => 11110101 => [4,1,1,1,1] => 888
[9,8,7,6,5,3,4,2,1] => 11111011 => [5,1,2] => 138
[1,8,7,5,4,6,2,3] => 0111010 => [1,3,1,1,1] => 427
[8,1,6,7,4,5,3,2] => 1001011 => [1,2,1,1,2] => 603
[8,1,6,4,7,5,3,2] => 1010111 => [1,1,1,1,3] => 450
[6,4,8,1,5,3,7,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[1,6,4,3,5,8,2,7] => 0110010 => [1,2,2,1,1] => 594
[5,1,4,3,7,8,6,2] => 1010011 => [1,1,1,2,2] => 622
[5,7,1,8,6,3,2,4] => 0101110 => [1,1,1,3,1] => 450
[5,7,6,3,4,2,1,8] => 0110110 => [1,2,1,2,1] => 603
[4,1,3,7,6,5,2,8] => 1001110 => [1,2,3,1] => 262
[8,7,6,5,4,2,3,1,9] => 11111010 => [5,1,1,1] => 240
[4,3,6,1,2,7,8,5] => 1010001 => [1,1,1,3,1] => 450
[2,9,8,6,5,7,4,3,1] => 01110111 => [1,3,1,3] => 676
[5,8,3,6,7,2,4,1] => 0100101 => [1,1,2,1,1,1] => 984
[8,1,6,2,5,7,4,3] => 1010011 => [1,1,1,2,2] => 622
[2,7,1,5,3,6,8,4] => 0101001 => [1,1,1,1,2,1] => 1023
[6,8,7,3,4,2,5,1] => 0110101 => [1,2,1,1,1,1] => 969
[1,8,6,2,4,7,5,3] => 0110011 => [1,2,2,2] => 363
[5,7,3,6,4,2,1,8] => 0101110 => [1,1,1,3,1] => 450
[5,7,3,6,4,1,8,2] => 0101101 => [1,1,1,2,1,1] => 1006
[3,7,5,6,4,1,8,2] => 0101101 => [1,1,1,2,1,1] => 1006
[7,1,8,2,3,4,5,9,6] => 10100001 => [1,1,1,4,1] => 934
[6,8,1,2,3,4,5,9,7] => 01000001 => [1,1,5,1] => 244
[9,6,7,4,5,2,3,1,8] => 10101010 => [1,1,1,1,1,1,1,1] => 10176
[8,9,6,7,4,5,2,1,3] => 01010110 => [1,1,1,1,1,2,1] => 6344
[9,8,6,5,4,3,7,2,1] => 11111011 => [5,1,2] => 138
[2,8,5,7,3,4,6,1] => 0101001 => [1,1,1,1,2,1] => 1023
[2,3,6,4,5,1,7,8,9] => 00101000 => [2,1,1,1,3] => 1612
[2,3,4,8,5,6,7,1,9] => 00010010 => [3,1,2,1,1] => 1560
[3,5,4,7,2,6,1,8,9] => 01010100 => [1,1,1,1,1,1,2] => 6344
[2,6,4,1,5,3,7,8,9] => 01101000 => [1,2,1,1,3] => 1612
[4,5,2,6,3,1,7,8,9] => 01011000 => [1,1,1,2,3] => 1648
[3,6,4,5,9,2,7,8,1] => 01001001 => [1,1,2,1,2,1] => 3732
[2,5,4,7,8,6,3,1,9] => 01001110 => [1,1,2,3,1] => 1626
[4,6,2,5,8,3,7,1,9] => 01001010 => [1,1,2,1,1,1,1] => 6040
[3,5,7,6,1,4,2,8,9] => 00110100 => [2,2,1,1,2] => 2162
[5,6,2,3,7,4,1,8,9] => 01001100 => [1,1,2,2,2] => 2246
[5,7,2,3,6,9,4,8,1] => 01000101 => [1,1,3,1,1,1] => 2652
[2,8,4,1,6,3,7,5,9] => 01101010 => [1,2,1,1,1,1,1] => 5976
[4,6,7,8,3,1,5,2,9] => 00011010 => [3,2,1,1,1] => 1536
[6,7,2,3,4,8,5,1,9] => 01000110 => [1,1,3,2,1] => 1608
[3,5,9,7,1,8,2,6,4] => 00110101 => [2,2,1,1,1,1] => 3528
[5,7,8,3,9,4,1,6,2] => 00101101 => [2,1,1,2,1,1] => 3652
[7,8,2,3,4,5,9,6,1] => 01000011 => [1,1,4,2] => 538
[2,1,3,8,5,4,6,7] => 1001100 => [1,2,2,2] => 363
[5,3,6,8,2,4,1,7] => 1001010 => [1,2,1,1,1,1] => 969
[1,7,8,6,3,2,4,5] => 0011100 => [2,3,2] => 153
[7,1,2,5,3,8,4,6] => 1001010 => [1,2,1,1,1,1] => 969
[3,7,4,2,5,1,8,6] => 0110101 => [1,2,1,1,1,1] => 969
[1,8,3,4,5,7,2,6] => 0100010 => [1,1,3,1,1] => 439
[2,6,7,5,3,8,1,4] => 0011010 => [2,2,1,1,1] => 582
[4,5,2,6,8,7,1,3] => 0100110 => [1,1,2,2,1] => 611
[4,5,2,6,8,3,1,7] => 0100110 => [1,1,2,2,1] => 611
[4,5,7,6,2,1,3,8] => 0011100 => [2,3,2] => 153
[7,8,2,6,5,4,3,1] => 0101111 => [1,1,1,4] => 148
[5,3,7,8,4,2,1,6] => 1001110 => [1,2,3,1] => 262
[7,3,6,8,1,5,4,2] => 1001011 => [1,2,1,1,2] => 603
[9,7,8,5,6,2,4,1,3] => 10101010 => [1,1,1,1,1,1,1,1] => 10176
[9,7,8,4,6,2,5,1,3] => 10101010 => [1,1,1,1,1,1,1,1] => 10176
[9,6,8,4,7,2,5,1,3] => 10101010 => [1,1,1,1,1,1,1,1] => 10176
[8,9,6,4,7,2,5,1,3] => 01101010 => [1,2,1,1,1,1,1] => 5976
[8,9,6,7,4,2,5,1,3] => 01011010 => [1,1,1,2,1,1,1] => 6148
[9,7,8,3,6,2,5,1,4] => 10101010 => [1,1,1,1,1,1,1,1] => 10176
[9,5,8,4,7,2,6,1,3] => 10101010 => [1,1,1,1,1,1,1,1] => 10176
[7,6,9,4,8,2,5,1,3] => 10101010 => [1,1,1,1,1,1,1,1] => 10176
[8,6,9,7,4,2,5,1,3] => 10111010 => [1,1,3,1,1,1] => 2652
[8,9,6,4,7,5,2,1,3] => 01101110 => [1,2,1,3,1] => 1612
[8,9,6,7,4,2,5,3,1] => 01011011 => [1,1,1,2,1,2] => 3790
[7,5,8,2,4,3,6,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,5,8,2,3,4,1,7] => 1010010 => [1,1,1,2,1,1] => 1006
[8,1,5,3,4,6,2,7] => 1010010 => [1,1,1,2,1,1] => 1006
[5,8,7,2,4,3,6,1] => 0110101 => [1,2,1,1,1,1] => 969
[1,7,2,4,8,5,6,3] => 0100101 => [1,1,2,1,1,1] => 984
[5,8,2,3,7,4,6,1] => 0100101 => [1,1,2,1,1,1] => 984
[7,8,2,3,5,4,6,1] => 0100101 => [1,1,2,1,1,1] => 984
[8,4,1,3,2,6,5,7] => 1101010 => [2,1,1,1,1,1] => 969
[8,7,2,3,5,4,6,1] => 1100101 => [2,2,1,1,1] => 582
[1,7,6,8,4,5,3,2] => 0101011 => [1,1,1,1,1,2] => 1023
[2,7,3,1,8,5,6,4] => 0110101 => [1,2,1,1,1,1] => 969
[3,8,5,2,1,6,7,4] => 0111001 => [1,3,2,1] => 259
[2,8,6,1,5,7,4,3] => 0110011 => [1,2,2,2] => 363
[8,3,5,1,7,6,4,2] => 1010111 => [1,1,1,1,3] => 450
[8,3,5,4,7,1,6,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[6,4,1,5,7,8,2,3] => 1100010 => [2,3,1,1] => 256
[4,8,7,1,2,5,3,6] => 0110010 => [1,2,2,1,1] => 594
[8,7,2,6,1,4,3,5] => 1101010 => [2,1,1,1,1,1] => 969
[6,1,7,3,8,2,4,5] => 1010100 => [1,1,1,1,1,2] => 1023
[7,1,8,6,4,2,3,5] => 1011100 => [1,1,3,2] => 265
[4,1,3,5,8,2,6,7] => 1000100 => [1,3,1,2] => 259
[1,8,5,7,4,6,3,2] => 0101011 => [1,1,1,1,1,2] => 1023
[1,4,7,6,8,3,5,2] => 0010101 => [2,1,1,1,1,1] => 969
[1,7,2,8,6,5,3,4] => 0101110 => [1,1,1,3,1] => 450
[5,7,1,6,4,2,3,8] => 0101100 => [1,1,1,2,2] => 622
[4,8,2,7,5,1,6,3] => 0101101 => [1,1,1,2,1,1] => 1006
[2,8,4,6,7,1,5,3] => 0100101 => [1,1,2,1,1,1] => 984
[3,8,5,1,4,2,6,7] => 0110100 => [1,2,1,1,2] => 603
[1,7,6,2,5,3,8,4] => 0110101 => [1,2,1,1,1,1] => 969
[1,7,5,2,4,3,8,6] => 0110101 => [1,2,1,1,1,1] => 969
[2,8,5,1,4,3,6,7] => 0110100 => [1,2,1,1,2] => 603
[9,7,6,5,4,3,2,8,1] => 11111101 => [6,1,1] => 50
[3,1,4,6,2,5,8,7,9] => 10010010 => [1,2,1,2,1,1] => 3652
[1,3,2,5,7,4,6,9,8] => 01001001 => [1,1,2,1,2,1] => 3732
[7,6,3,5,4,8,2,1] => 1101011 => [2,1,1,1,2] => 603
[1,9,8,5,6,7,4,3,2] => 01100111 => [1,2,2,3] => 946
[1,9,8,5,4,6,7,3,2] => 01110011 => [1,3,2,2] => 936
[1,9,5,4,6,7,8,3,2] => 01100011 => [1,2,3,2] => 946
[3,1,2,5,7,6,8,4] => 1000101 => [1,3,1,1,1] => 427
[5,1,7,3,2,6,8,4] => 1011001 => [1,1,2,2,1] => 611
[4,7,2,3,5,1,6,8] => 0100100 => [1,1,2,1,2] => 611
[4,8,2,3,7,5,1,6] => 0100110 => [1,1,2,2,1] => 611
[8,7,2,4,3,5,6,1] => 1101001 => [2,1,1,2,1] => 603
[8,6,2,4,3,5,1,7] => 1101010 => [2,1,1,1,1,1] => 969
[8,1,2,4,7,3,5,6] => 1000100 => [1,3,1,2] => 259
[7,6,2,8,4,5,1,3] => 1101010 => [2,1,1,1,1,1] => 969
[6,8,1,5,7,3,2,4] => 0100110 => [1,1,2,2,1] => 611
[4,1,7,5,6,8,2,3] => 1010010 => [1,1,1,2,1,1] => 1006
[3,7,6,2,1,4,5,8] => 0111000 => [1,3,3] => 110
[1,6,8,7,2,5,4,3] => 0011011 => [2,2,1,2] => 357
[1,4,8,7,6,3,5,2] => 0011101 => [2,3,1,1] => 256
[1,2,3,4,7,5,6,9,8] => 00001001 => [4,1,2,1] => 526
[3,1,8,4,5,2,7,6] => 1010101 => [1,1,1,1,1,1,1] => 1623
[2,3,7,6,1,8,4,5] => 0011010 => [2,2,1,1,1] => 582
[4,8,5,2,1,3,7,6] => 0111001 => [1,3,2,1] => 259
[5,8,4,2,1,3,7,6] => 0111001 => [1,3,2,1] => 259
[9,8,7,6,5,3,1,4,2] => 11111101 => [6,1,1] => 50
[9,8,7,6,4,1,5,3,2] => 11111011 => [5,1,2] => 138
[9,8,6,1,7,5,4,3,2] => 11101111 => [3,1,4] => 220
[9,7,1,8,6,5,4,3,2] => 11011111 => [2,1,5] => 138
[4,6,7,5,2,3,1,8] => 0011010 => [2,2,1,1,1] => 582
[6,2,5,3,1,8,7,4] => 1011011 => [1,1,2,1,2] => 611
[6,2,5,3,8,7,1,4] => 1010110 => [1,1,1,1,2,1] => 1023
[6,4,5,3,8,7,1,2] => 1010110 => [1,1,1,1,2,1] => 1023
[1,6,4,5,8,7,3,2] => 0100111 => [1,1,2,3] => 265
[8,4,7,5,2,3,1,6] => 1011010 => [1,1,2,1,1,1] => 984
[8,2,7,4,5,3,1,6] => 1010110 => [1,1,1,1,2,1] => 1023
[8,2,4,7,5,3,1,6] => 1001110 => [1,2,3,1] => 262
[8,2,6,7,5,3,1,4] => 1001110 => [1,2,3,1] => 262
[8,4,6,7,5,3,1,2] => 1001110 => [1,2,3,1] => 262
[6,4,5,8,7,3,1,2] => 1001110 => [1,2,3,1] => 262
[6,2,8,7,5,3,1,4] => 1011110 => [1,1,4,1] => 148
[4,6,5,3,8,7,1,2] => 0110110 => [1,2,1,2,1] => 603
[6,7,2,4,5,3,1,8] => 0100110 => [1,1,2,2,1] => 611
[6,8,7,4,5,3,1,2] => 0110110 => [1,2,1,2,1] => 603
[2,8,4,7,5,3,1,6] => 0101110 => [1,1,1,3,1] => 450
[5,8,7,4,6,3,1,2] => 0110110 => [1,2,1,2,1] => 603
[6,5,8,4,7,2,1,3] => 1010110 => [1,1,1,1,2,1] => 1023
[4,8,6,2,5,7,1,3] => 0110010 => [1,2,2,1,1] => 594
[8,1,6,2,5,7,3,4] => 1010010 => [1,1,1,2,1,1] => 1006
[6,8,1,2,4,7,3,5] => 0100010 => [1,1,3,1,1] => 439
[8,1,5,3,2,7,4,6] => 1011010 => [1,1,2,1,1,1] => 984
[8,3,7,6,2,5,4,1] => 1011011 => [1,1,2,1,2] => 611
[1,2,7,4,5,6,8,9,3] => 00100001 => [2,1,4,1] => 534
[1,2,3,4,7,8,5,6,9] => 00000100 => [5,1,2] => 138
[1,2,3,4,6,5,8,7,9] => 00001010 => [4,1,1,1,1] => 888
[1,2,3,4,8,9,5,6,7] => 00000100 => [5,1,2] => 138
[4,6,1,3,5,8,2,7] => 0100010 => [1,1,3,1,1] => 439
[4,5,1,3,8,7,2,6] => 0100110 => [1,1,2,2,1] => 611
[6,2,7,1,8,3,4,5] => 1010100 => [1,1,1,1,1,2] => 1023
[6,4,5,8,1,7,2,3] => 1001010 => [1,2,1,1,1,1] => 969
[6,2,8,5,1,4,7,3] => 1011001 => [1,1,2,2,1] => 611
[2,4,7,6,1,8,3,5] => 0011010 => [2,2,1,1,1] => 582
[2,1,7,8,9,3,4,5,6] => 10001000 => [1,3,1,3] => 676
[9,7,5,3,8,6,4,2,1] => 11101111 => [3,1,4] => 220
[7,4,5,8,6,3,2,1] => 1001111 => [1,2,4] => 85
[8,6,9,7,4,3,2,1,5] => 10111110 => [1,1,5,1] => 244
[8,6,3,2,1,4,9,7,5] => 11110011 => [4,2,2] => 306
[8,6,4,9,7,5,2,1,3] => 11011110 => [2,1,4,1] => 534
[9,7,5,3,8,6,4,1,2] => 11101110 => [3,1,3,1] => 676
[9,6,7,8,5,4,3,2,1] => 10011111 => [1,2,5] => 138
[8,5,6,9,7,4,3,2,1] => 10011111 => [1,2,5] => 138
[8,6,3,2,1,9,7,4,5] => 11110110 => [4,1,2,1] => 526
[9,7,8,4,3,2,1,5,6] => 10111100 => [1,1,4,2] => 538
[8,6,3,4,9,7,5,2,1] => 11001111 => [2,2,4] => 306
[8,6,9,7,3,2,1,4,5] => 10111100 => [1,1,4,2] => 538
[9,7,5,2,3,8,6,4,1] => 11100111 => [3,2,3] => 392
[8,6,2,1,3,4,9,7,5] => 11100011 => [3,3,2] => 392
[8,6,4,9,7,5,1,2,3] => 11011100 => [2,1,3,2] => 946
[2,5,1,6,3,7,4,8,9] => 01010100 => [1,1,1,1,1,1,2] => 6344
[2,6,1,7,3,8,4,9,5] => 01010101 => [1,1,1,1,1,1,1,1] => 10176
[3,4,6,1,7,2,8,5,9] => 00101010 => [2,1,1,1,1,1,1] => 5976
[3,2,6,1,7,4,8,5,9] => 10101010 => [1,1,1,1,1,1,1,1] => 10176
[4,2,5,6,1,7,3,8,9] => 10010100 => [1,2,1,1,1,2] => 3696
[3,4,2,6,1,7,5,8,9] => 01010100 => [1,1,1,1,1,1,2] => 6344
[4,2,5,7,1,8,3,9,6] => 10010101 => [1,2,1,1,1,1,1] => 5976
[3,4,2,7,1,8,5,9,6] => 01010101 => [1,1,1,1,1,1,1,1] => 10176
[5,3,6,4,7,1,8,2,9] => 10101010 => [1,1,1,1,1,1,1,1] => 10176
[3,5,2,6,7,1,8,4,9] => 01001010 => [1,1,2,1,1,1,1] => 6040
[4,3,5,2,7,1,8,6,9] => 10101010 => [1,1,1,1,1,1,1,1] => 10176
[4,6,2,7,5,8,1,9,3] => 01010101 => [1,1,1,1,1,1,1,1] => 10176
[4,3,6,2,7,8,1,9,5] => 10100101 => [1,1,1,2,1,1,1] => 6148
[4,5,3,6,2,8,1,9,7] => 01010101 => [1,1,1,1,1,1,1,1] => 10176
[7,6,5,9,4,3,2,1,8] => 11011110 => [2,1,4,1] => 534
[7,6,5,4,3,9,2,1,8] => 11110110 => [4,1,2,1] => 526
[7,9,8,5,4,3,2,1,6] => 01111110 => [1,6,1] => 50
[7,6,9,8,4,3,2,1,5] => 10111110 => [1,1,5,1] => 244
[7,6,5,9,8,3,2,1,4] => 11011110 => [2,1,4,1] => 534
[7,6,5,4,9,8,2,1,3] => 11101110 => [3,1,3,1] => 676
[7,6,5,4,3,9,8,1,2] => 11110110 => [4,1,2,1] => 526
[9,8,7,6,5,2,3,4,1] => 11111001 => [5,2,1] => 138
[6,1,7,8,9,2,3,4,5] => 10001000 => [1,3,1,3] => 676
[4,5,6,7,1,9,2,3,8] => 00010100 => [3,1,1,1,2] => 1576
[3,5,6,7,9,1,2,4,8] => 00001000 => [4,1,3] => 220
[5,1,6,7,8,2,9,3,4] => 10001010 => [1,3,1,1,1,1] => 2592
[4,1,6,7,8,9,2,3,5] => 10000100 => [1,4,1,2] => 526
[7,4,1,3,6,8,2,5] => 1100010 => [2,3,1,1] => 256
[6,8,1,2,7,3,4,5] => 0100100 => [1,1,2,1,2] => 611
[1,6,2,8,7,3,4,5] => 0101100 => [1,1,1,2,2] => 622
[1,6,8,5,7,4,3,2] => 0010111 => [2,1,1,3] => 262
[3,8,1,2,4,7,6,5] => 0100011 => [1,1,3,2] => 265
[1,4,5,7,3,6,8,2] => 0001001 => [3,1,2,1] => 259
[2,3,8,1,4,6,5,7] => 0010010 => [2,1,2,1,1] => 594
[3,6,2,4,7,5,8,1] => 0100101 => [1,1,2,1,1,1] => 984
[3,1,8,4,6,2,5,7] => 1010100 => [1,1,1,1,1,2] => 1023
[4,2,7,3,5,8,1,6] => 1010010 => [1,1,1,2,1,1] => 1006
[3,1,8,4,5,6,2,7] => 1010010 => [1,1,1,2,1,1] => 1006
[4,2,7,8,6,3,1,5] => 1001110 => [1,2,3,1] => 262
[7,1,4,2,8,6,3,5] => 1010110 => [1,1,1,1,2,1] => 1023
[2,3,7,4,8,1,6,5] => 0010101 => [2,1,1,1,1,1] => 969
[1,6,3,5,8,7,4,2] => 0100111 => [1,1,2,3] => 265
[8,4,6,3,5,1,7,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,3,2,6,8,4,5,1] => 1100101 => [2,2,1,1,1] => 582
[2,4,5,7,1,6,8,3] => 0001001 => [3,1,2,1] => 259
[8,4,2,6,7,3,5,1] => 1100101 => [2,2,1,1,1] => 582
[4,1,5,7,8,6,2,3] => 1000110 => [1,3,2,1] => 259
[6,1,4,8,2,3,7,5] => 1001001 => [1,2,1,2,1] => 603
[7,6,2,3,5,8,4,1] => 1100011 => [2,3,2] => 153
[2,8,5,7,6,3,4,1] => 0101101 => [1,1,1,2,1,1] => 1006
[2,5,7,8,6,4,1,3] => 0001110 => [3,3,1] => 110
[7,4,1,6,2,5,8,3] => 1101001 => [2,1,1,2,1] => 603
[8,7,4,6,2,5,3,1] => 1101011 => [2,1,1,1,2] => 603
[1,7,5,4,6,2,3,8] => 0110100 => [1,2,1,1,2] => 603
[6,2,7,5,3,1,4,8] => 1011100 => [1,1,3,2] => 265
[6,1,7,4,8,5,2,3] => 1010110 => [1,1,1,1,2,1] => 1023
[8,2,4,6,3,1,7,5] => 1001101 => [1,2,2,1,1] => 594
[5,6,2,4,8,7,3,1] => 0100111 => [1,1,2,3] => 265
[8,5,6,2,3,7,4,1] => 1010011 => [1,1,1,2,2] => 622
[7,8,1,4,5,6,2,3] => 0100010 => [1,1,3,1,1] => 439
[5,6,7,8,9,1,3,4,2] => 00001001 => [4,1,2,1] => 526
[6,7,8,9,1,3,4,5,2] => 00010001 => [3,1,3,1] => 676
[6,7,8,9,1,4,5,2,3] => 00010010 => [3,1,2,1,1] => 1560
[6,7,8,9,1,4,5,3,2] => 00010011 => [3,1,2,2] => 936
[6,7,8,9,1,5,4,3,2] => 00010111 => [3,1,1,3] => 676
[7,8,9,1,4,5,6,2,3] => 00100010 => [2,1,3,1,1] => 1580
[7,8,9,1,4,5,6,3,2] => 00100011 => [2,1,3,2] => 946
[7,8,9,1,5,6,3,4,2] => 00100101 => [2,1,2,1,1,1] => 3588
[7,8,9,1,5,6,4,3,2] => 00100111 => [2,1,2,3] => 946
[7,8,9,1,6,5,4,3,2] => 00101111 => [2,1,1,4] => 534
[8,9,1,5,6,7,3,4,2] => 01000101 => [1,1,3,1,1,1] => 2652
[8,9,1,5,6,7,4,3,2] => 01000111 => [1,1,3,3] => 688
[8,9,1,6,7,4,5,2,3] => 01001010 => [1,1,2,1,1,1,1] => 6040
[8,9,1,6,7,4,5,3,2] => 01001011 => [1,1,2,1,1,2] => 3732
[8,9,1,6,7,5,4,3,2] => 01001111 => [1,1,2,4] => 538
[9,1,7,8,5,6,3,4,2] => 10010101 => [1,2,1,1,1,1,1] => 5976
[9,1,7,8,5,6,4,3,2] => 10010111 => [1,2,1,1,3] => 1612
[7,4,8,3,5,6,2,1] => 1010011 => [1,1,1,2,2] => 622
[2,6,1,4,7,5,8,3] => 0100101 => [1,1,2,1,1,1] => 984
[3,1,5,7,2,6,8,4] => 1001001 => [1,2,1,2,1] => 603
[3,1,7,5,2,6,8,4] => 1011001 => [1,1,2,2,1] => 611
[3,2,7,5,1,6,8,4] => 1011001 => [1,1,2,2,1] => 611
[5,2,7,3,1,6,8,4] => 1011001 => [1,1,2,2,1] => 611
[6,7,2,1,3,4,8,5] => 0110001 => [1,2,3,1] => 262
[4,6,3,1,2,7,8,5] => 0110001 => [1,2,3,1] => 262
[2,3,4,5,7,9,6,8,1] => 00000101 => [5,1,1,1] => 240
[2,3,4,6,9,5,7,8,1] => 00001001 => [4,1,2,1] => 526
[2,3,5,6,8,4,7,1] => 0000101 => [4,1,1,1] => 145
[2,3,5,9,4,6,7,8,1] => 00010001 => [3,1,3,1] => 676
[2,4,5,8,3,6,7,1] => 0001001 => [3,1,2,1] => 259
[2,4,9,3,5,6,7,8,1] => 00100001 => [2,1,4,1] => 534
[5,9,8,7,6,4,3,1,2] => 01111110 => [1,6,1] => 50
[5,4,8,7,6,3,2,1,9] => 10111110 => [1,1,5,1] => 244
[4,5,8,7,6,3,1,2] => 0011110 => [2,4,1] => 85
[6,5,9,8,7,4,3,1,2] => 10111110 => [1,1,5,1] => 244
[8,7,4,6,5,3,1,2] => 1101110 => [2,1,3,1] => 262
[9,5,8,7,6,4,3,1,2] => 10111110 => [1,1,5,1] => 244
[8,1,4,3,6,2,5,7] => 1010100 => [1,1,1,1,1,2] => 1023
[1,6,3,7,8,4,2,5] => 0100110 => [1,1,2,2,1] => 611
[5,3,8,4,6,7,2,1] => 1010011 => [1,1,1,2,2] => 622
[4,3,5,8,6,7,2,1] => 1001011 => [1,2,1,1,2] => 603
[3,2,7,8,5,6,4,1] => 1001011 => [1,2,1,1,2] => 603
[4,7,3,8,5,6,2,1] => 0101011 => [1,1,1,1,1,2] => 1023
[7,1,4,8,5,6,3,2] => 1001011 => [1,2,1,1,2] => 603
[4,3,8,7,2,5,6,1] => 1011001 => [1,1,2,2,1] => 611
[1,7,3,8,6,4,5,2] => 0101101 => [1,1,1,2,1,1] => 1006
[7,4,2,8,5,6,3,1] => 1101011 => [2,1,1,1,2] => 603
[3,4,8,2,6,7,5,1] => 0010011 => [2,1,2,2] => 363
[1,6,3,8,7,4,5,2] => 0101101 => [1,1,1,2,1,1] => 1006
[1,4,5,8,7,6,2,3] => 0001110 => [3,3,1] => 110
[5,2,1,3,8,4,6,7] => 1100100 => [2,2,1,2] => 357
[1,4,3,5,8,2,6,7] => 0100100 => [1,1,2,1,2] => 611
[2,1,3,8,6,4,5,7] => 1001100 => [1,2,2,2] => 363
[1,3,6,4,5,8,2,7] => 0010010 => [2,1,2,1,1] => 594
[6,1,4,3,5,8,2,7] => 1010010 => [1,1,1,2,1,1] => 1006
[6,5,1,3,8,2,4,7] => 1100100 => [2,2,1,2] => 357
[1,4,3,8,6,2,5,7] => 0101100 => [1,1,1,2,2] => 622
[4,1,3,8,6,2,5,7] => 1001100 => [1,2,2,2] => 363
[7,1,5,4,6,3,8,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[7,6,8,5,4,3,2,9,1] => 10111101 => [1,1,4,1,1] => 912
[6,8,7,5,4,3,2,9,1] => 01111101 => [1,5,1,1] => 240
[6,4,7,8,3,5,1,2] => 1001010 => [1,2,1,1,1,1] => 969
[3,5,6,7,1,8,4,2] => 0001011 => [3,1,1,2] => 259
[2,7,8,3,6,1,5,4] => 0010101 => [2,1,1,1,1,1] => 969
[1,7,8,3,6,2,5,4] => 0010101 => [2,1,1,1,1,1] => 969
[7,4,3,5,8,1,6,2] => 1100101 => [2,2,1,1,1] => 582
[7,3,6,4,1,8,5,2] => 1011011 => [1,1,2,1,2] => 611
[7,8,4,3,6,1,5,2] => 0110101 => [1,2,1,1,1,1] => 969
[7,1,6,4,3,8,5,2] => 1011011 => [1,1,2,1,2] => 611
[8,7,3,4,1,5,2,6] => 1101010 => [2,1,1,1,1,1] => 969
[7,2,6,4,3,8,5,1] => 1011011 => [1,1,2,1,2] => 611
[1,7,5,4,3,8,2,6] => 0111010 => [1,3,1,1,1] => 427
[4,5,8,1,7,3,2,6] => 0010110 => [2,1,1,2,1] => 603
[4,6,7,1,3,8,2,5] => 0010010 => [2,1,2,1,1] => 594
[2,3,4,5,6,1,8,9,7] => 00001001 => [4,1,2,1] => 526
[2,3,4,5,1,7,8,9,6] => 00010001 => [3,1,3,1] => 676
[2,6,3,1,4,7,8,5] => 0110001 => [1,2,3,1] => 262
[2,9,3,4,5,6,1,7,8] => 01000100 => [1,1,3,1,2] => 1608
[2,7,3,4,1,8,5,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[2,8,3,4,5,1,6,9,7] => 01001001 => [1,1,2,1,2,1] => 3732
[2,7,3,4,1,5,8,9,6] => 01010001 => [1,1,1,1,3,1] => 2790
[2,6,3,1,4,7,8,9,5] => 01100001 => [1,2,4,1] => 534
[7,5,8,2,4,3,1,6] => 1010110 => [1,1,1,1,2,1] => 1023
[2,3,7,8,1,4,6,5] => 0001001 => [3,1,2,1] => 259
[8,2,3,5,4,1,7,6] => 1001101 => [1,2,2,1,1] => 594
[7,1,3,8,2,4,6,5] => 1001001 => [1,2,1,2,1] => 603
[7,2,3,6,4,1,8,5] => 1001101 => [1,2,2,1,1] => 594
[6,5,2,4,1,8,3,7] => 1101010 => [2,1,1,1,1,1] => 969
[5,7,2,4,1,3,8,6] => 0101001 => [1,1,1,1,2,1] => 1023
[6,2,5,4,1,8,3,7] => 1011010 => [1,1,2,1,1,1] => 984
[4,2,5,3,7,6,9,8,1] => 10101011 => [1,1,1,1,1,1,2] => 6344
[4,2,6,3,7,5,9,8,1] => 10101011 => [1,1,1,1,1,1,2] => 6344
[4,2,6,3,8,5,9,7,1] => 10101011 => [1,1,1,1,1,1,2] => 6344
[4,2,6,3,8,5,1,7,9] => 10101100 => [1,1,1,1,2,2] => 3848
[4,2,6,3,5,8,1,7] => 1010010 => [1,1,1,2,1,1] => 1006
[4,2,6,3,8,5,7,1,9] => 10101010 => [1,1,1,1,1,1,1,1] => 10176
[4,2,6,3,5,8,7,1,9] => 10100110 => [1,1,1,2,2,1] => 3790
[4,2,3,6,5,8,7,1,9] => 10010110 => [1,2,1,1,2,1] => 3696
[5,2,6,3,7,4,9,8,1] => 10101011 => [1,1,1,1,1,1,2] => 6344
[4,2,7,3,8,5,9,6,1] => 10101011 => [1,1,1,1,1,1,2] => 6344
[4,2,6,3,9,5,1,7,8] => 10101100 => [1,1,1,1,2,2] => 3848
[4,2,6,3,8,5,7,9,1] => 10101001 => [1,1,1,1,1,2,1] => 6344
[4,2,6,3,5,8,1,7,9] => 10100100 => [1,1,1,2,1,2] => 3790
[4,2,3,6,8,5,7,1,9] => 10001010 => [1,3,1,1,1,1] => 2592
[2,4,6,3,5,8,7,1,9] => 00100110 => [2,1,2,2,1] => 2194
[7,4,2,6,8,5,3,1] => 1100111 => [2,2,3] => 153
[8,5,2,4,6,3,1,7] => 1100110 => [2,2,2,1] => 357
[7,4,1,2,8,5,6,3] => 1100101 => [2,2,1,1,1] => 582
[6,4,1,8,5,2,3,7] => 1101100 => [2,1,2,2] => 363
[8,4,1,6,3,5,2,7] => 1101010 => [2,1,1,1,1,1] => 969
[7,3,4,1,6,8,5,2] => 1010011 => [1,1,1,2,2] => 622
[8,6,2,3,5,7,4,1] => 1100011 => [2,3,2] => 153
[8,6,2,5,7,3,4,1] => 1100101 => [2,2,1,1,1] => 582
[6,3,4,8,5,1,2,7] => 1001100 => [1,2,2,2] => 363
[8,5,1,2,7,4,6,3] => 1100101 => [2,2,1,1,1] => 582
[7,2,6,8,3,4,5,1] => 1001001 => [1,2,1,2,1] => 603
[1,6,7,5,4,8,2,3] => 0011010 => [2,2,1,1,1] => 582
[1,8,5,4,2,6,3,7] => 0111010 => [1,3,1,1,1] => 427
[3,4,5,6,9,2,1,8,7] => 00001101 => [4,2,1,1] => 522
[3,4,5,8,2,9,1,7,6] => 00010101 => [3,1,1,1,1,1] => 2592
[3,4,7,2,8,9,1,5,6] => 00100100 => [2,1,2,1,2] => 2194
[3,6,2,7,8,9,1,5,4] => 01000101 => [1,1,3,1,1,1] => 2652
[5,2,6,7,8,9,1,4,3] => 10000101 => [1,4,1,1,1] => 888
[3,4,5,6,9,1,7,8,2] => 00001001 => [4,1,2,1] => 526
[3,4,5,8,9,6,1,7,2] => 00001101 => [4,2,1,1] => 522
[3,4,7,8,5,9,1,2,6] => 00010100 => [3,1,1,1,2] => 1576
[3,4,5,9,2,6,1,8,7] => 00010101 => [3,1,1,1,1,1] => 2592
[3,6,7,4,8,9,1,5,2] => 00100101 => [2,1,2,1,1,1] => 3588
[3,4,8,2,5,9,1,7,6] => 00100101 => [2,1,2,1,1,1] => 3588
[5,6,3,7,8,9,1,4,2] => 01000101 => [1,1,3,1,1,1] => 2652
[3,7,2,4,8,9,1,5,6] => 01000100 => [1,1,3,1,2] => 1608
[6,2,3,7,8,9,1,5,4] => 10000101 => [1,4,1,1,1] => 888
[8,9,7,6,5,4,1,3,2] => 01111101 => [1,5,1,1] => 240
[8,7,9,6,5,4,1,3,2] => 10111101 => [1,1,4,1,1] => 912
[9,7,8,6,5,4,1,3,2] => 10111101 => [1,1,4,1,1] => 912
[5,7,3,6,2,1,4,8] => 0101100 => [1,1,1,2,2] => 622
[1,3,2,4,5,6,9,7,8] => 01000010 => [1,1,4,1,1] => 912
[2,3,1,4,5,6,9,7,8] => 01000010 => [1,1,4,1,1] => 912
[5,8,6,1,2,4,3,7] => 0110010 => [1,2,2,1,1] => 594
[4,1,5,7,3,6,8,2] => 1001001 => [1,2,1,2,1] => 603
[1,4,5,7,6,8,2,3] => 0001010 => [3,1,1,1,1] => 427
[5,7,2,1,6,8,4,3] => 0110011 => [1,2,2,2] => 363
[2,6,3,1,7,8,5,4] => 0110011 => [1,2,2,2] => 363
[6,2,5,7,4,1,8,3] => 1001101 => [1,2,2,1,1] => 594
[3,6,1,8,7,4,5,2] => 0101101 => [1,1,1,2,1,1] => 1006
[4,3,9,5,6,7,8,2,1] => 10100011 => [1,1,1,3,2] => 1648
[3,2,8,5,6,7,1,9,4] => 10100101 => [1,1,1,2,1,1,1] => 6148
[7,8,4,5,6,1,3,9,2] => 01001001 => [1,1,2,1,2,1] => 3732
[3,4,1,9,6,7,8,2,5] => 01010010 => [1,1,1,1,2,1,1] => 6264
[4,8,9,5,6,7,2,1,3] => 00100110 => [2,1,2,2,1] => 2194
[4,2,3,8,6,7,1,9,5] => 10010101 => [1,2,1,1,1,1,1] => 5976
[6,8,4,5,1,3,7,9,2] => 01010001 => [1,1,1,1,3,1] => 2790
[4,7,1,3,5,6,8,2] => 0100001 => [1,1,4,1] => 148
[4,3,5,7,8,2,6,1] => 1000101 => [1,3,1,1,1] => 427
[3,5,1,4,9,7,8,2,6] => 01001010 => [1,1,2,1,1,1,1] => 6040
[8,3,4,9,6,7,2,5,1] => 10010101 => [1,2,1,1,1,1,1] => 5976
[4,7,9,5,6,2,1,8,3] => 00101101 => [2,1,1,2,1,1] => 3652
[5,3,2,7,6,4,1,8] => 1101110 => [2,1,3,1] => 262
[5,3,7,4,6,2,1,8] => 1010110 => [1,1,1,1,2,1] => 1023
[5,7,3,2,1,8,6,4] => 0111011 => [1,3,1,2] => 259
[5,7,6,3,2,1,8,4] => 0111101 => [1,4,1,1] => 145
[3,2,7,5,4,1,8,6] => 1011101 => [1,1,3,1,1] => 439
[1,7,3,5,4,2,6,8] => 0101100 => [1,1,1,2,2] => 622
[5,3,7,4,1,8,6,2] => 1011011 => [1,1,2,1,2] => 611
[7,3,5,4,1,6,8,2] => 1011001 => [1,1,2,2,1] => 611
[7,5,1,6,8,3,2,4] => 1100110 => [2,2,2,1] => 357
[5,3,1,7,6,8,2,4] => 1101010 => [2,1,1,1,1,1] => 969
[7,1,5,3,2,4,8,6] => 1011001 => [1,1,2,2,1] => 611
[8,1,2,5,3,4,6,7,9] => 10010000 => [1,2,1,4] => 534
[7,1,5,2,4,3,6,8] => 1010100 => [1,1,1,1,1,2] => 1023
[1,9,2,3,6,4,5,7,8] => 01001000 => [1,1,2,1,3] => 1626
[8,1,2,6,4,3,5,7,9] => 10011000 => [1,2,2,3] => 946
[8,1,2,6,3,5,4,7,9] => 10010100 => [1,2,1,1,1,2] => 3696
[1,9,2,3,7,5,4,6,8] => 01001100 => [1,1,2,2,2] => 2246
[1,9,2,3,7,4,6,5,8] => 01001010 => [1,1,2,1,1,1,1] => 6040
[6,8,7,3,2,1,5,4] => 0111101 => [1,4,1,1] => 145
[3,6,8,7,2,4,1,5] => 0011010 => [2,2,1,1,1] => 582
[5,7,3,6,2,1,8,4] => 0101101 => [1,1,1,2,1,1] => 1006
[3,6,5,2,4,8,1,7] => 0110010 => [1,2,2,1,1] => 594
[5,6,7,8,9,3,2,1,4] => 00001110 => [4,3,1] => 220
[6,7,8,9,3,4,1,2,5] => 00010100 => [3,1,1,1,2] => 1576
[6,7,8,9,3,4,2,1,5] => 00010110 => [3,1,1,2,1] => 1576
[7,8,9,3,4,5,1,2,6] => 00100100 => [2,1,2,1,2] => 2194
[7,8,9,3,4,5,2,1,6] => 00100110 => [2,1,2,2,1] => 2194
[7,8,9,4,5,2,3,1,6] => 00101010 => [2,1,1,1,1,1,1] => 5976
[7,8,9,4,5,3,2,1,6] => 00101110 => [2,1,1,3,1] => 1612
[8,9,4,5,6,2,3,1,7] => 01001010 => [1,1,2,1,1,1,1] => 6040
[8,9,4,5,6,3,2,1,7] => 01001110 => [1,1,2,3,1] => 1626
[8,9,5,6,3,4,1,2,7] => 01010100 => [1,1,1,1,1,1,2] => 6344
[8,9,5,6,3,4,2,1,7] => 01010110 => [1,1,1,1,1,2,1] => 6344
[8,9,5,6,4,3,2,1,7] => 01011110 => [1,1,1,4,1] => 934
[9,6,7,4,5,3,2,1,8] => 10101110 => [1,1,1,1,3,1] => 2790
[1,8,3,6,2,4,7,5] => 0101001 => [1,1,1,1,2,1] => 1023
[1,8,7,5,6,4,2,3] => 0110110 => [1,2,1,2,1] => 603
[6,8,2,1,5,4,3,7] => 0110110 => [1,2,1,2,1] => 603
[6,3,2,1,5,8,4,7] => 1110010 => [3,2,1,1] => 256
[4,3,5,6,2,8,1,7] => 1001010 => [1,2,1,1,1,1] => 969
[6,3,5,2,7,8,4,1] => 1010011 => [1,1,1,2,2] => 622
[4,5,3,1,6,8,2,7] => 0110010 => [1,2,2,1,1] => 594
[3,4,6,7,5,1,8,2] => 0001101 => [3,2,1,1] => 256
[7,4,1,2,5,6,8,3] => 1100001 => [2,4,1] => 85
[4,8,2,6,7,1,5,3] => 0100101 => [1,1,2,1,1,1] => 984
[6,5,8,3,7,1,4,2] => 1010101 => [1,1,1,1,1,1,1] => 1623
[4,2,6,1,3,5,8,7,9] => 10100010 => [1,1,1,3,1,1] => 2732
[4,2,6,1,8,3,5,7,9] => 10101000 => [1,1,1,1,1,3] => 2790
[4,2,8,1,3,6,5,7,9] => 10100100 => [1,1,1,2,1,2] => 3790
[4,2,6,1,9,3,5,8,7] => 10101001 => [1,1,1,1,1,2,1] => 6344
[9,7,1,8,2,3,4,5,6] => 11010000 => [2,1,1,4] => 534
[9,6,1,7,2,8,3,4,5] => 11010100 => [2,1,1,1,1,2] => 3696
[8,6,1,9,7,2,3,4,5] => 11011000 => [2,1,2,3] => 946
[9,8,6,1,7,2,3,4,5] => 11101000 => [3,1,1,3] => 676
[8,5,1,9,6,2,7,3,4] => 11011010 => [2,1,2,1,1,1] => 3588
[9,8,5,1,6,2,7,3,4] => 11101010 => [3,1,1,1,1,1] => 2592
[9,7,5,1,8,6,2,3,4] => 11101100 => [3,1,2,2] => 936
[9,8,7,5,1,6,2,3,4] => 11110100 => [4,1,1,2] => 526
[9,7,4,1,8,5,2,6,3] => 11101101 => [3,1,2,1,1] => 1560
[9,8,7,4,1,5,2,6,3] => 11110101 => [4,1,1,1,1] => 888
[8,6,4,1,9,7,5,2,3] => 11101110 => [3,1,3,1] => 676
[9,8,6,4,1,7,5,2,3] => 11110110 => [4,1,2,1] => 526
[9,8,7,6,4,1,5,2,3] => 11111010 => [5,1,1,1] => 240
[9,8,7,5,3,1,6,4,2] => 11111011 => [5,1,2] => 138
[9,1,2,8,4,3,5,6,7] => 10011000 => [1,2,2,3] => 946
[8,1,9,3,2,4,6,5,7] => 10110010 => [1,1,2,2,1,1] => 3688
[9,8,2,1,3,5,6,4,7] => 11100010 => [3,3,1,1] => 664
[8,1,9,2,4,5,6,3,7] => 10100010 => [1,1,1,3,1,1] => 2732
[1,5,2,4,7,6,8,3] => 0100101 => [1,1,2,1,1,1] => 984
[1,4,3,6,5,8,7,9,2] => 01010101 => [1,1,1,1,1,1,1,1] => 10176
[1,4,2,6,5,8,7,9,3] => 01010101 => [1,1,1,1,1,1,1,1] => 10176
[1,5,2,6,4,8,7,9,3] => 01010101 => [1,1,1,1,1,1,1,1] => 10176
[1,5,2,7,4,8,6,9,3] => 01010101 => [1,1,1,1,1,1,1,1] => 10176
[1,5,2,7,4,9,6,8,3] => 01010101 => [1,1,1,1,1,1,1,1] => 10176
[1,5,2,7,4,6,9,8,3] => 01010011 => [1,1,1,1,2,2] => 3848
[1,5,2,4,7,6,9,8,3] => 01001011 => [1,1,2,1,1,2] => 3732
[1,2,5,4,7,6,9,8,3] => 00101011 => [2,1,1,1,1,2] => 3696
[1,5,2,6,3,8,7,9,4] => 01010101 => [1,1,1,1,1,1,1,1] => 10176
[1,6,2,7,4,8,5,9,3] => 01010101 => [1,1,1,1,1,1,1,1] => 10176
[1,5,2,8,4,9,6,7,3] => 01010101 => [1,1,1,1,1,1,1,1] => 10176
[1,5,2,7,4,6,8,9,3] => 01010001 => [1,1,1,1,3,1] => 2790
[1,5,2,4,7,9,6,8,3] => 01000101 => [1,1,3,1,1,1] => 2652
[1,2,5,7,4,6,9,8,3] => 00010011 => [3,1,2,2] => 936
[2,5,4,7,1,8,3,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,5,4,7,3,8,2,6] => 0101010 => [1,1,1,1,1,1,1] => 1623
[1,2,6,7,3,5,4,8] => 0001010 => [3,1,1,1,1] => 427
[8,1,2,4,6,3,5,7] => 1000100 => [1,3,1,2] => 259
[4,5,6,7,9,8,3,2,1] => 00001111 => [4,4] => 70
[5,4,6,7,8,9,3,2,1] => 10000111 => [1,4,3] => 220
[6,5,7,8,9,4,3,2,1] => 10001111 => [1,3,4] => 220
[4,5,6,7,3,9,8,2,1] => 00010111 => [3,1,1,3] => 676
[3,5,6,7,9,8,4,2,1] => 00001111 => [4,4] => 70
[5,4,6,7,8,3,9,2,1] => 10001011 => [1,3,1,1,2] => 1576
[4,3,6,7,8,9,5,2,1] => 10000111 => [1,4,3] => 220
[3,4,5,6,8,9,7,1,2] => 00000110 => [5,2,1] => 138
[3,4,5,7,8,9,6,1,2] => 00000110 => [5,2,1] => 138
[3,5,6,7,8,9,4,1,2] => 00000110 => [5,2,1] => 138
[4,5,6,7,8,9,3,1,2] => 00000110 => [5,2,1] => 138
[3,4,5,8,1,9,7,6,2] => 00010111 => [3,1,1,3] => 676
[3,4,7,1,8,9,6,5,2] => 00100111 => [2,1,2,3] => 946
[3,6,1,7,8,9,4,5,2] => 01000101 => [1,1,3,1,1,1] => 2652
[5,1,6,7,8,9,4,3,2] => 10000111 => [1,4,3] => 220
[1,5,6,7,8,9,3,2,4] => 00000110 => [5,2,1] => 138
[3,4,5,8,9,6,7,1,2] => 00001010 => [4,1,1,1,1] => 888
[3,4,7,8,5,9,6,1,2] => 00010110 => [3,1,1,2,1] => 1576
[3,4,5,9,1,6,7,8,2] => 00010001 => [3,1,3,1] => 676
[3,4,8,1,5,9,7,6,2] => 00100111 => [2,1,2,3] => 946
[5,6,3,7,8,9,4,1,2] => 01000110 => [1,1,3,2,1] => 1608
[3,7,8,4,5,6,1,2] => 0010010 => [2,1,2,1,1] => 594
[3,7,1,4,8,9,6,5,2] => 01000111 => [1,1,3,3] => 688
[5,2,6,7,8,9,3,1,4] => 10000110 => [1,4,2,1] => 526
[6,1,3,7,8,9,4,5,2] => 10000101 => [1,4,1,1,1] => 888
[1,2,6,7,8,9,4,3,5] => 00000110 => [5,2,1] => 138
[1,3,8,6,7,4,5,2] => 0010101 => [2,1,1,1,1,1] => 969
[2,6,5,3,7,1,8,4] => 0110101 => [1,2,1,1,1,1] => 969
[5,7,1,3,6,4,8,2] => 0100101 => [1,1,2,1,1,1] => 984
[8,2,5,4,1,7,3,6] => 1011010 => [1,1,2,1,1,1] => 984
[8,1,7,6,4,2,3,5] => 1011100 => [1,1,3,2] => 265
[1,8,6,3,7,4,5,2] => 0110101 => [1,2,1,1,1,1] => 969
[5,7,3,4,2,8,6,1] => 0101011 => [1,1,1,1,1,2] => 1023
[5,8,3,4,2,7,6,1] => 0101011 => [1,1,1,1,1,2] => 1023
[7,6,4,2,3,8,5,1] => 1110011 => [3,2,2] => 153
[3,5,6,8,2,4,7,1] => 0001001 => [3,1,2,1] => 259
[4,8,7,3,2,5,6,1] => 0111001 => [1,3,2,1] => 259
[3,7,4,2,6,8,5,1] => 0110011 => [1,2,2,2] => 363
[6,4,8,7,3,2,5,1] => 1011101 => [1,1,3,1,1] => 439
[5,6,2,8,7,4,3,1] => 0101111 => [1,1,1,4] => 148
[6,2,8,3,7,4,5,1] => 1010101 => [1,1,1,1,1,1,1] => 1623
[3,7,5,6,4,2,8,1] => 0101101 => [1,1,1,2,1,1] => 1006
[5,2,3,8,6,1,4,7] => 1001100 => [1,2,2,2] => 363
[1,4,3,8,5,6,2,7] => 0101010 => [1,1,1,1,1,1,1] => 1623
[7,8,2,6,4,3,5,1] => 0101101 => [1,1,1,2,1,1] => 1006
[4,5,8,7,2,3,6,1] => 0011001 => [2,2,2,1] => 357
[7,8,6,1,4,2,5,3] => 0110101 => [1,2,1,1,1,1] => 969
[8,3,6,5,2,7,1,4] => 1011010 => [1,1,2,1,1,1] => 984
[5,1,3,6,4,2,7,8] => 1001100 => [1,2,2,2] => 363
[6,1,2,4,7,5,3,8] => 1000110 => [1,3,2,1] => 259
[8,3,1,4,6,7,2,5] => 1100010 => [2,3,1,1] => 256
[7,8,5,1,2,6,3,4] => 0110010 => [1,2,2,1,1] => 594
[6,4,5,1,8,7,3,2] => 1010111 => [1,1,1,1,3] => 450
[8,6,2,1,7,3,5,4] => 1110101 => [3,1,1,1,1] => 427
[9,3,4,5,6,8,7,2,1] => 10000111 => [1,4,3] => 220
[9,4,3,5,6,7,8,2,1] => 11000011 => [2,4,2] => 306
[9,8,3,4,5,7,6,2,1] => 11000111 => [2,3,3] => 392
[9,8,4,3,5,6,7,2,1] => 11100011 => [3,3,2] => 392
[9,3,4,5,6,2,8,7,1] => 10001011 => [1,3,1,1,2] => 1576
[9,2,4,5,6,8,7,3,1] => 10000111 => [1,4,3] => 220
[9,4,3,5,6,7,2,8,1] => 11000101 => [2,3,1,1,1] => 1536
[9,3,2,5,6,7,8,4,1] => 11000011 => [2,4,2] => 306
[7,8,6,1,4,3,5,2] => 0110101 => [1,2,1,1,1,1] => 969
[4,6,3,5,7,2,8,1,9] => 01001010 => [1,1,2,1,1,1,1] => 6040
[5,6,3,4,7,2,8,1,9] => 01001010 => [1,1,2,1,1,1,1] => 6040
[4,3,6,2,5,7,1,8] => 1010010 => [1,1,1,2,1,1] => 1006
[1,5,7,4,6,8,3,9,2] => 00100101 => [2,1,2,1,1,1] => 3588
[1,6,5,7,3,4,8,2] => 0101001 => [1,1,1,1,2,1] => 1023
[1,6,7,4,5,8,3,9,2] => 00100101 => [2,1,2,1,1,1] => 3588
[1,2,3,4,8,5,9,6,7] => 00001010 => [4,1,1,1,1] => 888
[1,2,3,7,4,5,8,6,9] => 00010010 => [3,1,2,1,1] => 1560
[1,2,3,4,8,6,5,7,9] => 00001100 => [4,2,2] => 306
[1,2,3,4,9,7,5,6,8] => 00001100 => [4,2,2] => 306
[8,2,6,5,1,7,4,3] => 1011011 => [1,1,2,1,2] => 611
[7,6,4,1,2,5,8,3] => 1110001 => [3,3,1] => 110
[2,6,5,4,8,7,1,3] => 0110110 => [1,2,1,2,1] => 603
[5,6,7,1,3,2,4,8] => 0010100 => [2,1,1,1,2] => 603
[7,1,8,4,3,2,6,5] => 1011101 => [1,1,3,1,1] => 439
[2,1,4,9,3,5,6,7,8] => 10010000 => [1,2,1,4] => 534
[3,7,1,2,4,5,6,9,8] => 01000001 => [1,1,5,1] => 244
[3,1,2,6,9,4,5,7,8] => 10001000 => [1,3,1,3] => 676
[4,6,1,2,3,5,9,7,8] => 01000010 => [1,1,4,1,1] => 912
[1,8,5,2,7,6,4,3] => 0110111 => [1,2,1,3] => 262
[1,7,6,8,2,5,4,3] => 0101011 => [1,1,1,1,1,2] => 1023
[1,7,8,6,2,5,4,3] => 0011011 => [2,2,1,2] => 357
[4,6,5,7,1,8,2,3] => 0101010 => [1,1,1,1,1,1,1] => 1623
[7,5,3,6,8,4,2,1] => 1100111 => [2,2,3] => 153
[7,2,5,6,4,8,3,1] => 1001011 => [1,2,1,1,2] => 603
[7,4,6,2,8,5,3,1] => 1010111 => [1,1,1,1,3] => 450
[9,7,6,5,4,3,8,2,1] => 11111011 => [5,1,2] => 138
[9,8,6,5,4,7,3,2,1] => 11110111 => [4,1,3] => 220
[5,4,3,2,1,9,7,8,6] => 11110101 => [4,1,1,1,1] => 888
[1,6,3,4,2,5,8,7] => 0101001 => [1,1,1,1,2,1] => 1023
[1,5,7,6,2,3,8,4] => 0011001 => [2,2,2,1] => 357
[1,4,3,7,6,2,5,8] => 0101100 => [1,1,1,2,2] => 622
[1,3,7,4,6,8,5,2] => 0010011 => [2,1,2,2] => 363
[3,7,4,6,8,1,5,2] => 0100101 => [1,1,2,1,1,1] => 984
[4,8,3,1,7,6,2,5] => 0110110 => [1,2,1,2,1] => 603
[2,6,7,5,3,4,1,8] => 0011010 => [2,2,1,1,1] => 582
[2,4,1,7,5,6,8,3] => 0101001 => [1,1,1,1,2,1] => 1023
[7,2,4,8,3,5,1,6] => 1001010 => [1,2,1,1,1,1] => 969
[5,6,1,4,3,8,7,2] => 0101011 => [1,1,1,1,1,2] => 1023
[5,8,6,4,3,1,7,2] => 0111101 => [1,4,1,1] => 145
[4,1,3,7,8,6,5,2] => 1000111 => [1,3,3] => 110
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Description
The number of words with multiplicities of the letters given by the composition, avoiding the consecutive pattern 132.
The total number of words with letter multiplicities given by an integer partition is St000048The multinomial of the parts of a partition.. For example, there are twelve words with letters $0,0,1,2$ corresponding to the partition $[2,1,1]$. Two of these contain the pattern $132$: $0,0,2,1$ and $0,2,1,0$.
Note that this statistic is not constant on compositions having the same parts.
The number of words of length $n$ with letters in an alphabet of size $k$ avoiding the consecutive pattern $132$ is determined in [1].
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.
Map
delta morphism
Description
Applies the delta morphism to a binary word.
The delta morphism of a finite word $w$ is the integer compositions composed of the lengths of consecutive runs of the same letter in $w$.