Identifier
Values
[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] => 9
[1,2,4,5,3] => 0001 => [3,1] => 4
[1,2,5,3,4] => 0010 => [2,1,1] => 9
[1,2,5,4,3] => 0011 => [2,2] => 6
[1,3,2,4,5] => 0100 => [1,1,2] => 9
[1,3,2,5,4] => 0101 => [1,1,1,1] => 14
[1,3,4,2,5] => 0010 => [2,1,1] => 9
[1,3,4,5,2] => 0001 => [3,1] => 4
[1,3,5,2,4] => 0010 => [2,1,1] => 9
[1,3,5,4,2] => 0011 => [2,2] => 6
[1,4,2,3,5] => 0100 => [1,1,2] => 9
[1,4,2,5,3] => 0101 => [1,1,1,1] => 14
[1,4,3,2,5] => 0110 => [1,2,1] => 10
[1,4,3,5,2] => 0101 => [1,1,1,1] => 14
[1,4,5,2,3] => 0010 => [2,1,1] => 9
[1,4,5,3,2] => 0011 => [2,2] => 6
[1,5,2,3,4] => 0100 => [1,1,2] => 9
[1,5,2,4,3] => 0101 => [1,1,1,1] => 14
[1,5,3,2,4] => 0110 => [1,2,1] => 10
[1,5,3,4,2] => 0101 => [1,1,1,1] => 14
[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] => 14
[2,1,4,5,3] => 1001 => [1,2,1] => 10
[2,1,5,3,4] => 1010 => [1,1,1,1] => 14
[2,1,5,4,3] => 1011 => [1,1,2] => 9
[2,3,1,4,5] => 0100 => [1,1,2] => 9
[2,3,1,5,4] => 0101 => [1,1,1,1] => 14
[2,3,4,1,5] => 0010 => [2,1,1] => 9
[2,3,4,5,1] => 0001 => [3,1] => 4
[2,3,5,1,4] => 0010 => [2,1,1] => 9
[2,3,5,4,1] => 0011 => [2,2] => 6
[2,4,1,3,5] => 0100 => [1,1,2] => 9
[2,4,1,5,3] => 0101 => [1,1,1,1] => 14
[2,4,3,1,5] => 0110 => [1,2,1] => 10
[2,4,3,5,1] => 0101 => [1,1,1,1] => 14
[2,4,5,1,3] => 0010 => [2,1,1] => 9
[2,4,5,3,1] => 0011 => [2,2] => 6
[2,5,1,3,4] => 0100 => [1,1,2] => 9
[2,5,1,4,3] => 0101 => [1,1,1,1] => 14
[2,5,3,1,4] => 0110 => [1,2,1] => 10
[2,5,3,4,1] => 0101 => [1,1,1,1] => 14
[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] => 14
[3,1,4,5,2] => 1001 => [1,2,1] => 10
[3,1,5,2,4] => 1010 => [1,1,1,1] => 14
[3,1,5,4,2] => 1011 => [1,1,2] => 9
[3,2,1,4,5] => 1100 => [2,2] => 6
[3,2,1,5,4] => 1101 => [2,1,1] => 9
[3,2,4,1,5] => 1010 => [1,1,1,1] => 14
[3,2,4,5,1] => 1001 => [1,2,1] => 10
[3,2,5,1,4] => 1010 => [1,1,1,1] => 14
[3,2,5,4,1] => 1011 => [1,1,2] => 9
[3,4,1,2,5] => 0100 => [1,1,2] => 9
[3,4,1,5,2] => 0101 => [1,1,1,1] => 14
[3,4,2,1,5] => 0110 => [1,2,1] => 10
[3,4,2,5,1] => 0101 => [1,1,1,1] => 14
[3,4,5,1,2] => 0010 => [2,1,1] => 9
[3,4,5,2,1] => 0011 => [2,2] => 6
[3,5,1,2,4] => 0100 => [1,1,2] => 9
[3,5,1,4,2] => 0101 => [1,1,1,1] => 14
[3,5,2,1,4] => 0110 => [1,2,1] => 10
>>> Load all 38479 entries. <<<
[3,5,2,4,1] => 0101 => [1,1,1,1] => 14
[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] => 14
[4,1,3,5,2] => 1001 => [1,2,1] => 10
[4,1,5,2,3] => 1010 => [1,1,1,1] => 14
[4,1,5,3,2] => 1011 => [1,1,2] => 9
[4,2,1,3,5] => 1100 => [2,2] => 6
[4,2,1,5,3] => 1101 => [2,1,1] => 9
[4,2,3,1,5] => 1010 => [1,1,1,1] => 14
[4,2,3,5,1] => 1001 => [1,2,1] => 10
[4,2,5,1,3] => 1010 => [1,1,1,1] => 14
[4,2,5,3,1] => 1011 => [1,1,2] => 9
[4,3,1,2,5] => 1100 => [2,2] => 6
[4,3,1,5,2] => 1101 => [2,1,1] => 9
[4,3,2,1,5] => 1110 => [3,1] => 4
[4,3,2,5,1] => 1101 => [2,1,1] => 9
[4,3,5,1,2] => 1010 => [1,1,1,1] => 14
[4,3,5,2,1] => 1011 => [1,1,2] => 9
[4,5,1,2,3] => 0100 => [1,1,2] => 9
[4,5,1,3,2] => 0101 => [1,1,1,1] => 14
[4,5,2,1,3] => 0110 => [1,2,1] => 10
[4,5,2,3,1] => 0101 => [1,1,1,1] => 14
[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] => 14
[5,1,3,4,2] => 1001 => [1,2,1] => 10
[5,1,4,2,3] => 1010 => [1,1,1,1] => 14
[5,1,4,3,2] => 1011 => [1,1,2] => 9
[5,2,1,3,4] => 1100 => [2,2] => 6
[5,2,1,4,3] => 1101 => [2,1,1] => 9
[5,2,3,1,4] => 1010 => [1,1,1,1] => 14
[5,2,3,4,1] => 1001 => [1,2,1] => 10
[5,2,4,1,3] => 1010 => [1,1,1,1] => 14
[5,2,4,3,1] => 1011 => [1,1,2] => 9
[5,3,1,2,4] => 1100 => [2,2] => 6
[5,3,1,4,2] => 1101 => [2,1,1] => 9
[5,3,2,1,4] => 1110 => [3,1] => 4
[5,3,2,4,1] => 1101 => [2,1,1] => 9
[5,3,4,1,2] => 1010 => [1,1,1,1] => 14
[5,3,4,2,1] => 1011 => [1,1,2] => 9
[5,4,1,2,3] => 1100 => [2,2] => 6
[5,4,1,3,2] => 1101 => [2,1,1] => 9
[5,4,2,1,3] => 1110 => [3,1] => 4
[5,4,2,3,1] => 1101 => [2,1,1] => 9
[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] => 14
[1,2,3,5,6,4] => 00001 => [4,1] => 5
[1,2,3,6,4,5] => 00010 => [3,1,1] => 14
[1,2,3,6,5,4] => 00011 => [3,2] => 10
[1,2,4,3,5,6] => 00100 => [2,1,2] => 19
[1,2,4,3,6,5] => 00101 => [2,1,1,1] => 28
[1,2,4,5,3,6] => 00010 => [3,1,1] => 14
[1,2,4,5,6,3] => 00001 => [4,1] => 5
[1,2,4,6,3,5] => 00010 => [3,1,1] => 14
[1,2,4,6,5,3] => 00011 => [3,2] => 10
[1,2,5,3,4,6] => 00100 => [2,1,2] => 19
[1,2,5,3,6,4] => 00101 => [2,1,1,1] => 28
[1,2,5,4,3,6] => 00110 => [2,2,1] => 22
[1,2,5,4,6,3] => 00101 => [2,1,1,1] => 28
[1,2,5,6,3,4] => 00010 => [3,1,1] => 14
[1,2,5,6,4,3] => 00011 => [3,2] => 10
[1,2,6,3,4,5] => 00100 => [2,1,2] => 19
[1,2,6,3,5,4] => 00101 => [2,1,1,1] => 28
[1,2,6,4,3,5] => 00110 => [2,2,1] => 22
[1,2,6,4,5,3] => 00101 => [2,1,1,1] => 28
[1,2,6,5,3,4] => 00110 => [2,2,1] => 22
[1,2,6,5,4,3] => 00111 => [2,3] => 10
[1,3,2,4,5,6] => 01000 => [1,1,3] => 14
[1,3,2,4,6,5] => 01001 => [1,1,2,1] => 32
[1,3,2,5,4,6] => 01010 => [1,1,1,1,1] => 42
[1,3,2,5,6,4] => 01001 => [1,1,2,1] => 32
[1,3,2,6,4,5] => 01010 => [1,1,1,1,1] => 42
[1,3,2,6,5,4] => 01011 => [1,1,1,2] => 28
[1,3,4,2,5,6] => 00100 => [2,1,2] => 19
[1,3,4,2,6,5] => 00101 => [2,1,1,1] => 28
[1,3,4,5,2,6] => 00010 => [3,1,1] => 14
[1,3,4,5,6,2] => 00001 => [4,1] => 5
[1,3,4,6,2,5] => 00010 => [3,1,1] => 14
[1,3,4,6,5,2] => 00011 => [3,2] => 10
[1,3,5,2,4,6] => 00100 => [2,1,2] => 19
[1,3,5,2,6,4] => 00101 => [2,1,1,1] => 28
[1,3,5,4,2,6] => 00110 => [2,2,1] => 22
[1,3,5,4,6,2] => 00101 => [2,1,1,1] => 28
[1,3,5,6,2,4] => 00010 => [3,1,1] => 14
[1,3,5,6,4,2] => 00011 => [3,2] => 10
[1,3,6,2,4,5] => 00100 => [2,1,2] => 19
[1,3,6,2,5,4] => 00101 => [2,1,1,1] => 28
[1,3,6,4,2,5] => 00110 => [2,2,1] => 22
[1,3,6,4,5,2] => 00101 => [2,1,1,1] => 28
[1,3,6,5,2,4] => 00110 => [2,2,1] => 22
[1,3,6,5,4,2] => 00111 => [2,3] => 10
[1,4,2,3,5,6] => 01000 => [1,1,3] => 14
[1,4,2,3,6,5] => 01001 => [1,1,2,1] => 32
[1,4,2,5,3,6] => 01010 => [1,1,1,1,1] => 42
[1,4,2,5,6,3] => 01001 => [1,1,2,1] => 32
[1,4,2,6,3,5] => 01010 => [1,1,1,1,1] => 42
[1,4,2,6,5,3] => 01011 => [1,1,1,2] => 28
[1,4,3,2,5,6] => 01100 => [1,2,2] => 22
[1,4,3,2,6,5] => 01101 => [1,2,1,1] => 32
[1,4,3,5,2,6] => 01010 => [1,1,1,1,1] => 42
[1,4,3,5,6,2] => 01001 => [1,1,2,1] => 32
[1,4,3,6,2,5] => 01010 => [1,1,1,1,1] => 42
[1,4,3,6,5,2] => 01011 => [1,1,1,2] => 28
[1,4,5,2,3,6] => 00100 => [2,1,2] => 19
[1,4,5,2,6,3] => 00101 => [2,1,1,1] => 28
[1,4,5,3,2,6] => 00110 => [2,2,1] => 22
[1,4,5,3,6,2] => 00101 => [2,1,1,1] => 28
[1,4,5,6,2,3] => 00010 => [3,1,1] => 14
[1,4,5,6,3,2] => 00011 => [3,2] => 10
[1,4,6,2,3,5] => 00100 => [2,1,2] => 19
[1,4,6,2,5,3] => 00101 => [2,1,1,1] => 28
[1,4,6,3,2,5] => 00110 => [2,2,1] => 22
[1,4,6,3,5,2] => 00101 => [2,1,1,1] => 28
[1,4,6,5,2,3] => 00110 => [2,2,1] => 22
[1,4,6,5,3,2] => 00111 => [2,3] => 10
[1,5,2,3,4,6] => 01000 => [1,1,3] => 14
[1,5,2,3,6,4] => 01001 => [1,1,2,1] => 32
[1,5,2,4,3,6] => 01010 => [1,1,1,1,1] => 42
[1,5,2,4,6,3] => 01001 => [1,1,2,1] => 32
[1,5,2,6,3,4] => 01010 => [1,1,1,1,1] => 42
[1,5,2,6,4,3] => 01011 => [1,1,1,2] => 28
[1,5,3,2,4,6] => 01100 => [1,2,2] => 22
[1,5,3,2,6,4] => 01101 => [1,2,1,1] => 32
[1,5,3,4,2,6] => 01010 => [1,1,1,1,1] => 42
[1,5,3,4,6,2] => 01001 => [1,1,2,1] => 32
[1,5,3,6,2,4] => 01010 => [1,1,1,1,1] => 42
[1,5,3,6,4,2] => 01011 => [1,1,1,2] => 28
[1,5,4,2,3,6] => 01100 => [1,2,2] => 22
[1,5,4,2,6,3] => 01101 => [1,2,1,1] => 32
[1,5,4,3,2,6] => 01110 => [1,3,1] => 17
[1,5,4,3,6,2] => 01101 => [1,2,1,1] => 32
[1,5,4,6,2,3] => 01010 => [1,1,1,1,1] => 42
[1,5,4,6,3,2] => 01011 => [1,1,1,2] => 28
[1,5,6,2,3,4] => 00100 => [2,1,2] => 19
[1,5,6,2,4,3] => 00101 => [2,1,1,1] => 28
[1,5,6,3,2,4] => 00110 => [2,2,1] => 22
[1,5,6,3,4,2] => 00101 => [2,1,1,1] => 28
[1,5,6,4,2,3] => 00110 => [2,2,1] => 22
[1,5,6,4,3,2] => 00111 => [2,3] => 10
[1,6,2,3,4,5] => 01000 => [1,1,3] => 14
[1,6,2,3,5,4] => 01001 => [1,1,2,1] => 32
[1,6,2,4,3,5] => 01010 => [1,1,1,1,1] => 42
[1,6,2,4,5,3] => 01001 => [1,1,2,1] => 32
[1,6,2,5,3,4] => 01010 => [1,1,1,1,1] => 42
[1,6,2,5,4,3] => 01011 => [1,1,1,2] => 28
[1,6,3,2,4,5] => 01100 => [1,2,2] => 22
[1,6,3,2,5,4] => 01101 => [1,2,1,1] => 32
[1,6,3,4,2,5] => 01010 => [1,1,1,1,1] => 42
[1,6,3,4,5,2] => 01001 => [1,1,2,1] => 32
[1,6,3,5,2,4] => 01010 => [1,1,1,1,1] => 42
[1,6,3,5,4,2] => 01011 => [1,1,1,2] => 28
[1,6,4,2,3,5] => 01100 => [1,2,2] => 22
[1,6,4,2,5,3] => 01101 => [1,2,1,1] => 32
[1,6,4,3,2,5] => 01110 => [1,3,1] => 17
[1,6,4,3,5,2] => 01101 => [1,2,1,1] => 32
[1,6,4,5,2,3] => 01010 => [1,1,1,1,1] => 42
[1,6,4,5,3,2] => 01011 => [1,1,1,2] => 28
[1,6,5,2,3,4] => 01100 => [1,2,2] => 22
[1,6,5,2,4,3] => 01101 => [1,2,1,1] => 32
[1,6,5,3,2,4] => 01110 => [1,3,1] => 17
[1,6,5,3,4,2] => 01101 => [1,2,1,1] => 32
[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] => 32
[2,1,3,5,6,4] => 10001 => [1,3,1] => 17
[2,1,3,6,4,5] => 10010 => [1,2,1,1] => 32
[2,1,3,6,5,4] => 10011 => [1,2,2] => 22
[2,1,4,3,5,6] => 10100 => [1,1,1,2] => 28
[2,1,4,3,6,5] => 10101 => [1,1,1,1,1] => 42
[2,1,4,5,3,6] => 10010 => [1,2,1,1] => 32
[2,1,4,5,6,3] => 10001 => [1,3,1] => 17
[2,1,4,6,3,5] => 10010 => [1,2,1,1] => 32
[2,1,4,6,5,3] => 10011 => [1,2,2] => 22
[2,1,5,3,4,6] => 10100 => [1,1,1,2] => 28
[2,1,5,3,6,4] => 10101 => [1,1,1,1,1] => 42
[2,1,5,4,3,6] => 10110 => [1,1,2,1] => 32
[2,1,5,4,6,3] => 10101 => [1,1,1,1,1] => 42
[2,1,5,6,3,4] => 10010 => [1,2,1,1] => 32
[2,1,5,6,4,3] => 10011 => [1,2,2] => 22
[2,1,6,3,4,5] => 10100 => [1,1,1,2] => 28
[2,1,6,3,5,4] => 10101 => [1,1,1,1,1] => 42
[2,1,6,4,3,5] => 10110 => [1,1,2,1] => 32
[2,1,6,4,5,3] => 10101 => [1,1,1,1,1] => 42
[2,1,6,5,3,4] => 10110 => [1,1,2,1] => 32
[2,1,6,5,4,3] => 10111 => [1,1,3] => 14
[2,3,1,4,5,6] => 01000 => [1,1,3] => 14
[2,3,1,4,6,5] => 01001 => [1,1,2,1] => 32
[2,3,1,5,4,6] => 01010 => [1,1,1,1,1] => 42
[2,3,1,5,6,4] => 01001 => [1,1,2,1] => 32
[2,3,1,6,4,5] => 01010 => [1,1,1,1,1] => 42
[2,3,1,6,5,4] => 01011 => [1,1,1,2] => 28
[2,3,4,1,5,6] => 00100 => [2,1,2] => 19
[2,3,4,1,6,5] => 00101 => [2,1,1,1] => 28
[2,3,4,5,1,6] => 00010 => [3,1,1] => 14
[2,3,4,5,6,1] => 00001 => [4,1] => 5
[2,3,4,6,1,5] => 00010 => [3,1,1] => 14
[2,3,4,6,5,1] => 00011 => [3,2] => 10
[2,3,5,1,4,6] => 00100 => [2,1,2] => 19
[2,3,5,1,6,4] => 00101 => [2,1,1,1] => 28
[2,3,5,4,1,6] => 00110 => [2,2,1] => 22
[2,3,5,4,6,1] => 00101 => [2,1,1,1] => 28
[2,3,5,6,1,4] => 00010 => [3,1,1] => 14
[2,3,5,6,4,1] => 00011 => [3,2] => 10
[2,3,6,1,4,5] => 00100 => [2,1,2] => 19
[2,3,6,1,5,4] => 00101 => [2,1,1,1] => 28
[2,3,6,4,1,5] => 00110 => [2,2,1] => 22
[2,3,6,4,5,1] => 00101 => [2,1,1,1] => 28
[2,3,6,5,1,4] => 00110 => [2,2,1] => 22
[2,3,6,5,4,1] => 00111 => [2,3] => 10
[2,4,1,3,5,6] => 01000 => [1,1,3] => 14
[2,4,1,3,6,5] => 01001 => [1,1,2,1] => 32
[2,4,1,5,3,6] => 01010 => [1,1,1,1,1] => 42
[2,4,1,5,6,3] => 01001 => [1,1,2,1] => 32
[2,4,1,6,3,5] => 01010 => [1,1,1,1,1] => 42
[2,4,1,6,5,3] => 01011 => [1,1,1,2] => 28
[2,4,3,1,5,6] => 01100 => [1,2,2] => 22
[2,4,3,1,6,5] => 01101 => [1,2,1,1] => 32
[2,4,3,5,1,6] => 01010 => [1,1,1,1,1] => 42
[2,4,3,5,6,1] => 01001 => [1,1,2,1] => 32
[2,4,3,6,1,5] => 01010 => [1,1,1,1,1] => 42
[2,4,3,6,5,1] => 01011 => [1,1,1,2] => 28
[2,4,5,1,3,6] => 00100 => [2,1,2] => 19
[2,4,5,1,6,3] => 00101 => [2,1,1,1] => 28
[2,4,5,3,1,6] => 00110 => [2,2,1] => 22
[2,4,5,3,6,1] => 00101 => [2,1,1,1] => 28
[2,4,5,6,1,3] => 00010 => [3,1,1] => 14
[2,4,5,6,3,1] => 00011 => [3,2] => 10
[2,4,6,1,3,5] => 00100 => [2,1,2] => 19
[2,4,6,1,5,3] => 00101 => [2,1,1,1] => 28
[2,4,6,3,1,5] => 00110 => [2,2,1] => 22
[2,4,6,3,5,1] => 00101 => [2,1,1,1] => 28
[2,4,6,5,1,3] => 00110 => [2,2,1] => 22
[2,4,6,5,3,1] => 00111 => [2,3] => 10
[2,5,1,3,4,6] => 01000 => [1,1,3] => 14
[2,5,1,3,6,4] => 01001 => [1,1,2,1] => 32
[2,5,1,4,3,6] => 01010 => [1,1,1,1,1] => 42
[2,5,1,4,6,3] => 01001 => [1,1,2,1] => 32
[2,5,1,6,3,4] => 01010 => [1,1,1,1,1] => 42
[2,5,1,6,4,3] => 01011 => [1,1,1,2] => 28
[2,5,3,1,4,6] => 01100 => [1,2,2] => 22
[2,5,3,1,6,4] => 01101 => [1,2,1,1] => 32
[2,5,3,4,1,6] => 01010 => [1,1,1,1,1] => 42
[2,5,3,4,6,1] => 01001 => [1,1,2,1] => 32
[2,5,3,6,1,4] => 01010 => [1,1,1,1,1] => 42
[2,5,3,6,4,1] => 01011 => [1,1,1,2] => 28
[2,5,4,1,3,6] => 01100 => [1,2,2] => 22
[2,5,4,1,6,3] => 01101 => [1,2,1,1] => 32
[2,5,4,3,1,6] => 01110 => [1,3,1] => 17
[2,5,4,3,6,1] => 01101 => [1,2,1,1] => 32
[2,5,4,6,1,3] => 01010 => [1,1,1,1,1] => 42
[2,5,4,6,3,1] => 01011 => [1,1,1,2] => 28
[2,5,6,1,3,4] => 00100 => [2,1,2] => 19
[2,5,6,1,4,3] => 00101 => [2,1,1,1] => 28
[2,5,6,3,1,4] => 00110 => [2,2,1] => 22
[2,5,6,3,4,1] => 00101 => [2,1,1,1] => 28
[2,5,6,4,1,3] => 00110 => [2,2,1] => 22
[2,5,6,4,3,1] => 00111 => [2,3] => 10
[2,6,1,3,4,5] => 01000 => [1,1,3] => 14
[2,6,1,3,5,4] => 01001 => [1,1,2,1] => 32
[2,6,1,4,3,5] => 01010 => [1,1,1,1,1] => 42
[2,6,1,4,5,3] => 01001 => [1,1,2,1] => 32
[2,6,1,5,3,4] => 01010 => [1,1,1,1,1] => 42
[2,6,1,5,4,3] => 01011 => [1,1,1,2] => 28
[2,6,3,1,4,5] => 01100 => [1,2,2] => 22
[2,6,3,1,5,4] => 01101 => [1,2,1,1] => 32
[2,6,3,4,1,5] => 01010 => [1,1,1,1,1] => 42
[2,6,3,4,5,1] => 01001 => [1,1,2,1] => 32
[2,6,3,5,1,4] => 01010 => [1,1,1,1,1] => 42
[2,6,3,5,4,1] => 01011 => [1,1,1,2] => 28
[2,6,4,1,3,5] => 01100 => [1,2,2] => 22
[2,6,4,1,5,3] => 01101 => [1,2,1,1] => 32
[2,6,4,3,1,5] => 01110 => [1,3,1] => 17
[2,6,4,3,5,1] => 01101 => [1,2,1,1] => 32
[2,6,4,5,1,3] => 01010 => [1,1,1,1,1] => 42
[2,6,4,5,3,1] => 01011 => [1,1,1,2] => 28
[2,6,5,1,3,4] => 01100 => [1,2,2] => 22
[2,6,5,1,4,3] => 01101 => [1,2,1,1] => 32
[2,6,5,3,1,4] => 01110 => [1,3,1] => 17
[2,6,5,3,4,1] => 01101 => [1,2,1,1] => 32
[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] => 32
[3,1,2,5,6,4] => 10001 => [1,3,1] => 17
[3,1,2,6,4,5] => 10010 => [1,2,1,1] => 32
[3,1,2,6,5,4] => 10011 => [1,2,2] => 22
[3,1,4,2,5,6] => 10100 => [1,1,1,2] => 28
[3,1,4,2,6,5] => 10101 => [1,1,1,1,1] => 42
[3,1,4,5,2,6] => 10010 => [1,2,1,1] => 32
[3,1,4,5,6,2] => 10001 => [1,3,1] => 17
[3,1,4,6,2,5] => 10010 => [1,2,1,1] => 32
[3,1,4,6,5,2] => 10011 => [1,2,2] => 22
[3,1,5,2,4,6] => 10100 => [1,1,1,2] => 28
[3,1,5,2,6,4] => 10101 => [1,1,1,1,1] => 42
[3,1,5,4,2,6] => 10110 => [1,1,2,1] => 32
[3,1,5,4,6,2] => 10101 => [1,1,1,1,1] => 42
[3,1,5,6,2,4] => 10010 => [1,2,1,1] => 32
[3,1,5,6,4,2] => 10011 => [1,2,2] => 22
[3,1,6,2,4,5] => 10100 => [1,1,1,2] => 28
[3,1,6,2,5,4] => 10101 => [1,1,1,1,1] => 42
[3,1,6,4,2,5] => 10110 => [1,1,2,1] => 32
[3,1,6,4,5,2] => 10101 => [1,1,1,1,1] => 42
[3,1,6,5,2,4] => 10110 => [1,1,2,1] => 32
[3,1,6,5,4,2] => 10111 => [1,1,3] => 14
[3,2,1,4,5,6] => 11000 => [2,3] => 10
[3,2,1,4,6,5] => 11001 => [2,2,1] => 22
[3,2,1,5,4,6] => 11010 => [2,1,1,1] => 28
[3,2,1,5,6,4] => 11001 => [2,2,1] => 22
[3,2,1,6,4,5] => 11010 => [2,1,1,1] => 28
[3,2,1,6,5,4] => 11011 => [2,1,2] => 19
[3,2,4,1,5,6] => 10100 => [1,1,1,2] => 28
[3,2,4,1,6,5] => 10101 => [1,1,1,1,1] => 42
[3,2,4,5,1,6] => 10010 => [1,2,1,1] => 32
[3,2,4,5,6,1] => 10001 => [1,3,1] => 17
[3,2,4,6,1,5] => 10010 => [1,2,1,1] => 32
[3,2,4,6,5,1] => 10011 => [1,2,2] => 22
[3,2,5,1,4,6] => 10100 => [1,1,1,2] => 28
[3,2,5,1,6,4] => 10101 => [1,1,1,1,1] => 42
[3,2,5,4,1,6] => 10110 => [1,1,2,1] => 32
[3,2,5,4,6,1] => 10101 => [1,1,1,1,1] => 42
[3,2,5,6,1,4] => 10010 => [1,2,1,1] => 32
[3,2,5,6,4,1] => 10011 => [1,2,2] => 22
[3,2,6,1,4,5] => 10100 => [1,1,1,2] => 28
[3,2,6,1,5,4] => 10101 => [1,1,1,1,1] => 42
[3,2,6,4,1,5] => 10110 => [1,1,2,1] => 32
[3,2,6,4,5,1] => 10101 => [1,1,1,1,1] => 42
[3,2,6,5,1,4] => 10110 => [1,1,2,1] => 32
[3,2,6,5,4,1] => 10111 => [1,1,3] => 14
[3,4,1,2,5,6] => 01000 => [1,1,3] => 14
[3,4,1,2,6,5] => 01001 => [1,1,2,1] => 32
[3,4,1,5,2,6] => 01010 => [1,1,1,1,1] => 42
[3,4,1,5,6,2] => 01001 => [1,1,2,1] => 32
[3,4,1,6,2,5] => 01010 => [1,1,1,1,1] => 42
[3,4,1,6,5,2] => 01011 => [1,1,1,2] => 28
[3,4,2,1,5,6] => 01100 => [1,2,2] => 22
[3,4,2,1,6,5] => 01101 => [1,2,1,1] => 32
[3,4,2,5,1,6] => 01010 => [1,1,1,1,1] => 42
[3,4,2,5,6,1] => 01001 => [1,1,2,1] => 32
[3,4,2,6,1,5] => 01010 => [1,1,1,1,1] => 42
[3,4,2,6,5,1] => 01011 => [1,1,1,2] => 28
[3,4,5,1,2,6] => 00100 => [2,1,2] => 19
[3,4,5,1,6,2] => 00101 => [2,1,1,1] => 28
[3,4,5,2,1,6] => 00110 => [2,2,1] => 22
[3,4,5,2,6,1] => 00101 => [2,1,1,1] => 28
[3,4,5,6,1,2] => 00010 => [3,1,1] => 14
[3,4,5,6,2,1] => 00011 => [3,2] => 10
[3,4,6,1,2,5] => 00100 => [2,1,2] => 19
[3,4,6,1,5,2] => 00101 => [2,1,1,1] => 28
[3,4,6,2,1,5] => 00110 => [2,2,1] => 22
[3,4,6,2,5,1] => 00101 => [2,1,1,1] => 28
[3,4,6,5,1,2] => 00110 => [2,2,1] => 22
[3,4,6,5,2,1] => 00111 => [2,3] => 10
[3,5,1,2,4,6] => 01000 => [1,1,3] => 14
[3,5,1,2,6,4] => 01001 => [1,1,2,1] => 32
[3,5,1,4,2,6] => 01010 => [1,1,1,1,1] => 42
[3,5,1,4,6,2] => 01001 => [1,1,2,1] => 32
[3,5,1,6,2,4] => 01010 => [1,1,1,1,1] => 42
[3,5,1,6,4,2] => 01011 => [1,1,1,2] => 28
[3,5,2,1,4,6] => 01100 => [1,2,2] => 22
[3,5,2,1,6,4] => 01101 => [1,2,1,1] => 32
[3,5,2,4,1,6] => 01010 => [1,1,1,1,1] => 42
[3,5,2,4,6,1] => 01001 => [1,1,2,1] => 32
[3,5,2,6,1,4] => 01010 => [1,1,1,1,1] => 42
[3,5,2,6,4,1] => 01011 => [1,1,1,2] => 28
[3,5,4,1,2,6] => 01100 => [1,2,2] => 22
[3,5,4,1,6,2] => 01101 => [1,2,1,1] => 32
[3,5,4,2,1,6] => 01110 => [1,3,1] => 17
[3,5,4,2,6,1] => 01101 => [1,2,1,1] => 32
[3,5,4,6,1,2] => 01010 => [1,1,1,1,1] => 42
[3,5,4,6,2,1] => 01011 => [1,1,1,2] => 28
[3,5,6,1,2,4] => 00100 => [2,1,2] => 19
[3,5,6,1,4,2] => 00101 => [2,1,1,1] => 28
[3,5,6,2,1,4] => 00110 => [2,2,1] => 22
[3,5,6,2,4,1] => 00101 => [2,1,1,1] => 28
[3,5,6,4,1,2] => 00110 => [2,2,1] => 22
[3,5,6,4,2,1] => 00111 => [2,3] => 10
[3,6,1,2,4,5] => 01000 => [1,1,3] => 14
[3,6,1,2,5,4] => 01001 => [1,1,2,1] => 32
[3,6,1,4,2,5] => 01010 => [1,1,1,1,1] => 42
[3,6,1,4,5,2] => 01001 => [1,1,2,1] => 32
[3,6,1,5,2,4] => 01010 => [1,1,1,1,1] => 42
[3,6,1,5,4,2] => 01011 => [1,1,1,2] => 28
[3,6,2,1,4,5] => 01100 => [1,2,2] => 22
[3,6,2,1,5,4] => 01101 => [1,2,1,1] => 32
[3,6,2,4,1,5] => 01010 => [1,1,1,1,1] => 42
[3,6,2,4,5,1] => 01001 => [1,1,2,1] => 32
[3,6,2,5,1,4] => 01010 => [1,1,1,1,1] => 42
[3,6,2,5,4,1] => 01011 => [1,1,1,2] => 28
[3,6,4,1,2,5] => 01100 => [1,2,2] => 22
[3,6,4,1,5,2] => 01101 => [1,2,1,1] => 32
[3,6,4,2,1,5] => 01110 => [1,3,1] => 17
[3,6,4,2,5,1] => 01101 => [1,2,1,1] => 32
[3,6,4,5,1,2] => 01010 => [1,1,1,1,1] => 42
[3,6,4,5,2,1] => 01011 => [1,1,1,2] => 28
[3,6,5,1,2,4] => 01100 => [1,2,2] => 22
[3,6,5,1,4,2] => 01101 => [1,2,1,1] => 32
[3,6,5,2,1,4] => 01110 => [1,3,1] => 17
[3,6,5,2,4,1] => 01101 => [1,2,1,1] => 32
[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] => 32
[4,1,2,5,6,3] => 10001 => [1,3,1] => 17
[4,1,2,6,3,5] => 10010 => [1,2,1,1] => 32
[4,1,2,6,5,3] => 10011 => [1,2,2] => 22
[4,1,3,2,5,6] => 10100 => [1,1,1,2] => 28
[4,1,3,2,6,5] => 10101 => [1,1,1,1,1] => 42
[4,1,3,5,2,6] => 10010 => [1,2,1,1] => 32
[4,1,3,5,6,2] => 10001 => [1,3,1] => 17
[4,1,3,6,2,5] => 10010 => [1,2,1,1] => 32
[4,1,3,6,5,2] => 10011 => [1,2,2] => 22
[4,1,5,2,3,6] => 10100 => [1,1,1,2] => 28
[4,1,5,2,6,3] => 10101 => [1,1,1,1,1] => 42
[4,1,5,3,2,6] => 10110 => [1,1,2,1] => 32
[4,1,5,3,6,2] => 10101 => [1,1,1,1,1] => 42
[4,1,5,6,2,3] => 10010 => [1,2,1,1] => 32
[4,1,5,6,3,2] => 10011 => [1,2,2] => 22
[4,1,6,2,3,5] => 10100 => [1,1,1,2] => 28
[4,1,6,2,5,3] => 10101 => [1,1,1,1,1] => 42
[4,1,6,3,2,5] => 10110 => [1,1,2,1] => 32
[4,1,6,3,5,2] => 10101 => [1,1,1,1,1] => 42
[4,1,6,5,2,3] => 10110 => [1,1,2,1] => 32
[4,1,6,5,3,2] => 10111 => [1,1,3] => 14
[4,2,1,3,5,6] => 11000 => [2,3] => 10
[4,2,1,3,6,5] => 11001 => [2,2,1] => 22
[4,2,1,5,3,6] => 11010 => [2,1,1,1] => 28
[4,2,1,5,6,3] => 11001 => [2,2,1] => 22
[4,2,1,6,3,5] => 11010 => [2,1,1,1] => 28
[4,2,1,6,5,3] => 11011 => [2,1,2] => 19
[4,2,3,1,5,6] => 10100 => [1,1,1,2] => 28
[4,2,3,1,6,5] => 10101 => [1,1,1,1,1] => 42
[4,2,3,5,1,6] => 10010 => [1,2,1,1] => 32
[4,2,3,5,6,1] => 10001 => [1,3,1] => 17
[4,2,3,6,1,5] => 10010 => [1,2,1,1] => 32
[4,2,3,6,5,1] => 10011 => [1,2,2] => 22
[4,2,5,1,3,6] => 10100 => [1,1,1,2] => 28
[4,2,5,1,6,3] => 10101 => [1,1,1,1,1] => 42
[4,2,5,3,1,6] => 10110 => [1,1,2,1] => 32
[4,2,5,3,6,1] => 10101 => [1,1,1,1,1] => 42
[4,2,5,6,1,3] => 10010 => [1,2,1,1] => 32
[4,2,5,6,3,1] => 10011 => [1,2,2] => 22
[4,2,6,1,3,5] => 10100 => [1,1,1,2] => 28
[4,2,6,1,5,3] => 10101 => [1,1,1,1,1] => 42
[4,2,6,3,1,5] => 10110 => [1,1,2,1] => 32
[4,2,6,3,5,1] => 10101 => [1,1,1,1,1] => 42
[4,2,6,5,1,3] => 10110 => [1,1,2,1] => 32
[4,2,6,5,3,1] => 10111 => [1,1,3] => 14
[4,3,1,2,5,6] => 11000 => [2,3] => 10
[4,3,1,2,6,5] => 11001 => [2,2,1] => 22
[4,3,1,5,2,6] => 11010 => [2,1,1,1] => 28
[4,3,1,5,6,2] => 11001 => [2,2,1] => 22
[4,3,1,6,2,5] => 11010 => [2,1,1,1] => 28
[4,3,1,6,5,2] => 11011 => [2,1,2] => 19
[4,3,2,1,5,6] => 11100 => [3,2] => 10
[4,3,2,1,6,5] => 11101 => [3,1,1] => 14
[4,3,2,5,1,6] => 11010 => [2,1,1,1] => 28
[4,3,2,5,6,1] => 11001 => [2,2,1] => 22
[4,3,2,6,1,5] => 11010 => [2,1,1,1] => 28
[4,3,2,6,5,1] => 11011 => [2,1,2] => 19
[4,3,5,1,2,6] => 10100 => [1,1,1,2] => 28
[4,3,5,1,6,2] => 10101 => [1,1,1,1,1] => 42
[4,3,5,2,1,6] => 10110 => [1,1,2,1] => 32
[4,3,5,2,6,1] => 10101 => [1,1,1,1,1] => 42
[4,3,5,6,1,2] => 10010 => [1,2,1,1] => 32
[4,3,5,6,2,1] => 10011 => [1,2,2] => 22
[4,3,6,1,2,5] => 10100 => [1,1,1,2] => 28
[4,3,6,1,5,2] => 10101 => [1,1,1,1,1] => 42
[4,3,6,2,1,5] => 10110 => [1,1,2,1] => 32
[4,3,6,2,5,1] => 10101 => [1,1,1,1,1] => 42
[4,3,6,5,1,2] => 10110 => [1,1,2,1] => 32
[4,3,6,5,2,1] => 10111 => [1,1,3] => 14
[4,5,1,2,3,6] => 01000 => [1,1,3] => 14
[4,5,1,2,6,3] => 01001 => [1,1,2,1] => 32
[4,5,1,3,2,6] => 01010 => [1,1,1,1,1] => 42
[4,5,1,3,6,2] => 01001 => [1,1,2,1] => 32
[4,5,1,6,2,3] => 01010 => [1,1,1,1,1] => 42
[4,5,1,6,3,2] => 01011 => [1,1,1,2] => 28
[4,5,2,1,3,6] => 01100 => [1,2,2] => 22
[4,5,2,1,6,3] => 01101 => [1,2,1,1] => 32
[4,5,2,3,1,6] => 01010 => [1,1,1,1,1] => 42
[4,5,2,3,6,1] => 01001 => [1,1,2,1] => 32
[4,5,2,6,1,3] => 01010 => [1,1,1,1,1] => 42
[4,5,2,6,3,1] => 01011 => [1,1,1,2] => 28
[4,5,3,1,2,6] => 01100 => [1,2,2] => 22
[4,5,3,1,6,2] => 01101 => [1,2,1,1] => 32
[4,5,3,2,1,6] => 01110 => [1,3,1] => 17
[4,5,3,2,6,1] => 01101 => [1,2,1,1] => 32
[4,5,3,6,1,2] => 01010 => [1,1,1,1,1] => 42
[4,5,3,6,2,1] => 01011 => [1,1,1,2] => 28
[4,5,6,1,2,3] => 00100 => [2,1,2] => 19
[4,5,6,1,3,2] => 00101 => [2,1,1,1] => 28
[4,5,6,2,1,3] => 00110 => [2,2,1] => 22
[4,5,6,2,3,1] => 00101 => [2,1,1,1] => 28
[4,5,6,3,1,2] => 00110 => [2,2,1] => 22
[4,5,6,3,2,1] => 00111 => [2,3] => 10
[4,6,1,2,3,5] => 01000 => [1,1,3] => 14
[4,6,1,2,5,3] => 01001 => [1,1,2,1] => 32
[4,6,1,3,2,5] => 01010 => [1,1,1,1,1] => 42
[4,6,1,3,5,2] => 01001 => [1,1,2,1] => 32
[4,6,1,5,2,3] => 01010 => [1,1,1,1,1] => 42
[4,6,1,5,3,2] => 01011 => [1,1,1,2] => 28
[4,6,2,1,3,5] => 01100 => [1,2,2] => 22
[4,6,2,1,5,3] => 01101 => [1,2,1,1] => 32
[4,6,2,3,1,5] => 01010 => [1,1,1,1,1] => 42
[4,6,2,3,5,1] => 01001 => [1,1,2,1] => 32
[4,6,2,5,1,3] => 01010 => [1,1,1,1,1] => 42
[4,6,2,5,3,1] => 01011 => [1,1,1,2] => 28
[4,6,3,1,2,5] => 01100 => [1,2,2] => 22
[4,6,3,1,5,2] => 01101 => [1,2,1,1] => 32
[4,6,3,2,1,5] => 01110 => [1,3,1] => 17
[4,6,3,2,5,1] => 01101 => [1,2,1,1] => 32
[4,6,3,5,1,2] => 01010 => [1,1,1,1,1] => 42
[4,6,3,5,2,1] => 01011 => [1,1,1,2] => 28
[4,6,5,1,2,3] => 01100 => [1,2,2] => 22
[4,6,5,1,3,2] => 01101 => [1,2,1,1] => 32
[4,6,5,2,1,3] => 01110 => [1,3,1] => 17
[4,6,5,2,3,1] => 01101 => [1,2,1,1] => 32
[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] => 32
[5,1,2,4,6,3] => 10001 => [1,3,1] => 17
[5,1,2,6,3,4] => 10010 => [1,2,1,1] => 32
[5,1,2,6,4,3] => 10011 => [1,2,2] => 22
[5,1,3,2,4,6] => 10100 => [1,1,1,2] => 28
[5,1,3,2,6,4] => 10101 => [1,1,1,1,1] => 42
[5,1,3,4,2,6] => 10010 => [1,2,1,1] => 32
[5,1,3,4,6,2] => 10001 => [1,3,1] => 17
[5,1,3,6,2,4] => 10010 => [1,2,1,1] => 32
[5,1,3,6,4,2] => 10011 => [1,2,2] => 22
[5,1,4,2,3,6] => 10100 => [1,1,1,2] => 28
[5,1,4,2,6,3] => 10101 => [1,1,1,1,1] => 42
[5,1,4,3,2,6] => 10110 => [1,1,2,1] => 32
[5,1,4,3,6,2] => 10101 => [1,1,1,1,1] => 42
[5,1,4,6,2,3] => 10010 => [1,2,1,1] => 32
[5,1,4,6,3,2] => 10011 => [1,2,2] => 22
[5,1,6,2,3,4] => 10100 => [1,1,1,2] => 28
[5,1,6,2,4,3] => 10101 => [1,1,1,1,1] => 42
[5,1,6,3,2,4] => 10110 => [1,1,2,1] => 32
[5,1,6,3,4,2] => 10101 => [1,1,1,1,1] => 42
[5,1,6,4,2,3] => 10110 => [1,1,2,1] => 32
[5,1,6,4,3,2] => 10111 => [1,1,3] => 14
[5,2,1,3,4,6] => 11000 => [2,3] => 10
[5,2,1,3,6,4] => 11001 => [2,2,1] => 22
[5,2,1,4,3,6] => 11010 => [2,1,1,1] => 28
[5,2,1,4,6,3] => 11001 => [2,2,1] => 22
[5,2,1,6,3,4] => 11010 => [2,1,1,1] => 28
[5,2,1,6,4,3] => 11011 => [2,1,2] => 19
[5,2,3,1,4,6] => 10100 => [1,1,1,2] => 28
[5,2,3,1,6,4] => 10101 => [1,1,1,1,1] => 42
[5,2,3,4,1,6] => 10010 => [1,2,1,1] => 32
[5,2,3,4,6,1] => 10001 => [1,3,1] => 17
[5,2,3,6,1,4] => 10010 => [1,2,1,1] => 32
[5,2,3,6,4,1] => 10011 => [1,2,2] => 22
[5,2,4,1,3,6] => 10100 => [1,1,1,2] => 28
[5,2,4,1,6,3] => 10101 => [1,1,1,1,1] => 42
[5,2,4,3,1,6] => 10110 => [1,1,2,1] => 32
[5,2,4,3,6,1] => 10101 => [1,1,1,1,1] => 42
[5,2,4,6,1,3] => 10010 => [1,2,1,1] => 32
[5,2,4,6,3,1] => 10011 => [1,2,2] => 22
[5,2,6,1,3,4] => 10100 => [1,1,1,2] => 28
[5,2,6,1,4,3] => 10101 => [1,1,1,1,1] => 42
[5,2,6,3,1,4] => 10110 => [1,1,2,1] => 32
[5,2,6,3,4,1] => 10101 => [1,1,1,1,1] => 42
[5,2,6,4,1,3] => 10110 => [1,1,2,1] => 32
[5,2,6,4,3,1] => 10111 => [1,1,3] => 14
[5,3,1,2,4,6] => 11000 => [2,3] => 10
[5,3,1,2,6,4] => 11001 => [2,2,1] => 22
[5,3,1,4,2,6] => 11010 => [2,1,1,1] => 28
[5,3,1,4,6,2] => 11001 => [2,2,1] => 22
[5,3,1,6,2,4] => 11010 => [2,1,1,1] => 28
[5,3,1,6,4,2] => 11011 => [2,1,2] => 19
[5,3,2,1,4,6] => 11100 => [3,2] => 10
[5,3,2,1,6,4] => 11101 => [3,1,1] => 14
[5,3,2,4,1,6] => 11010 => [2,1,1,1] => 28
[5,3,2,4,6,1] => 11001 => [2,2,1] => 22
[5,3,2,6,1,4] => 11010 => [2,1,1,1] => 28
[5,3,2,6,4,1] => 11011 => [2,1,2] => 19
[5,3,4,1,2,6] => 10100 => [1,1,1,2] => 28
[5,3,4,1,6,2] => 10101 => [1,1,1,1,1] => 42
[5,3,4,2,1,6] => 10110 => [1,1,2,1] => 32
[5,3,4,2,6,1] => 10101 => [1,1,1,1,1] => 42
[5,3,4,6,1,2] => 10010 => [1,2,1,1] => 32
[5,3,4,6,2,1] => 10011 => [1,2,2] => 22
[5,3,6,1,2,4] => 10100 => [1,1,1,2] => 28
[5,3,6,1,4,2] => 10101 => [1,1,1,1,1] => 42
[5,3,6,2,1,4] => 10110 => [1,1,2,1] => 32
[5,3,6,2,4,1] => 10101 => [1,1,1,1,1] => 42
[5,3,6,4,1,2] => 10110 => [1,1,2,1] => 32
[5,3,6,4,2,1] => 10111 => [1,1,3] => 14
[5,4,1,2,3,6] => 11000 => [2,3] => 10
[5,4,1,2,6,3] => 11001 => [2,2,1] => 22
[5,4,1,3,2,6] => 11010 => [2,1,1,1] => 28
[5,4,1,3,6,2] => 11001 => [2,2,1] => 22
[5,4,1,6,2,3] => 11010 => [2,1,1,1] => 28
[5,4,1,6,3,2] => 11011 => [2,1,2] => 19
[5,4,2,1,3,6] => 11100 => [3,2] => 10
[5,4,2,1,6,3] => 11101 => [3,1,1] => 14
[5,4,2,3,1,6] => 11010 => [2,1,1,1] => 28
[5,4,2,3,6,1] => 11001 => [2,2,1] => 22
[5,4,2,6,1,3] => 11010 => [2,1,1,1] => 28
[5,4,2,6,3,1] => 11011 => [2,1,2] => 19
[5,4,3,1,2,6] => 11100 => [3,2] => 10
[5,4,3,1,6,2] => 11101 => [3,1,1] => 14
[5,4,3,2,1,6] => 11110 => [4,1] => 5
[5,4,3,2,6,1] => 11101 => [3,1,1] => 14
[5,4,3,6,1,2] => 11010 => [2,1,1,1] => 28
[5,4,3,6,2,1] => 11011 => [2,1,2] => 19
[5,4,6,1,2,3] => 10100 => [1,1,1,2] => 28
[5,4,6,1,3,2] => 10101 => [1,1,1,1,1] => 42
[5,4,6,2,1,3] => 10110 => [1,1,2,1] => 32
[5,4,6,2,3,1] => 10101 => [1,1,1,1,1] => 42
[5,4,6,3,1,2] => 10110 => [1,1,2,1] => 32
[5,4,6,3,2,1] => 10111 => [1,1,3] => 14
[5,6,1,2,3,4] => 01000 => [1,1,3] => 14
[5,6,1,2,4,3] => 01001 => [1,1,2,1] => 32
[5,6,1,3,2,4] => 01010 => [1,1,1,1,1] => 42
[5,6,1,3,4,2] => 01001 => [1,1,2,1] => 32
[5,6,1,4,2,3] => 01010 => [1,1,1,1,1] => 42
[5,6,1,4,3,2] => 01011 => [1,1,1,2] => 28
[5,6,2,1,3,4] => 01100 => [1,2,2] => 22
[5,6,2,1,4,3] => 01101 => [1,2,1,1] => 32
[5,6,2,3,1,4] => 01010 => [1,1,1,1,1] => 42
[5,6,2,3,4,1] => 01001 => [1,1,2,1] => 32
[5,6,2,4,1,3] => 01010 => [1,1,1,1,1] => 42
[5,6,2,4,3,1] => 01011 => [1,1,1,2] => 28
[5,6,3,1,2,4] => 01100 => [1,2,2] => 22
[5,6,3,1,4,2] => 01101 => [1,2,1,1] => 32
[5,6,3,2,1,4] => 01110 => [1,3,1] => 17
[5,6,3,2,4,1] => 01101 => [1,2,1,1] => 32
[5,6,3,4,1,2] => 01010 => [1,1,1,1,1] => 42
[5,6,3,4,2,1] => 01011 => [1,1,1,2] => 28
[5,6,4,1,2,3] => 01100 => [1,2,2] => 22
[5,6,4,1,3,2] => 01101 => [1,2,1,1] => 32
[5,6,4,2,1,3] => 01110 => [1,3,1] => 17
[5,6,4,2,3,1] => 01101 => [1,2,1,1] => 32
[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] => 32
[6,1,2,4,5,3] => 10001 => [1,3,1] => 17
[6,1,2,5,3,4] => 10010 => [1,2,1,1] => 32
[6,1,2,5,4,3] => 10011 => [1,2,2] => 22
[6,1,3,2,4,5] => 10100 => [1,1,1,2] => 28
[6,1,3,2,5,4] => 10101 => [1,1,1,1,1] => 42
[6,1,3,4,2,5] => 10010 => [1,2,1,1] => 32
[6,1,3,4,5,2] => 10001 => [1,3,1] => 17
[6,1,3,5,2,4] => 10010 => [1,2,1,1] => 32
[6,1,3,5,4,2] => 10011 => [1,2,2] => 22
[6,1,4,2,3,5] => 10100 => [1,1,1,2] => 28
[6,1,4,2,5,3] => 10101 => [1,1,1,1,1] => 42
[6,1,4,3,2,5] => 10110 => [1,1,2,1] => 32
[6,1,4,3,5,2] => 10101 => [1,1,1,1,1] => 42
[6,1,4,5,2,3] => 10010 => [1,2,1,1] => 32
[6,1,4,5,3,2] => 10011 => [1,2,2] => 22
[6,1,5,2,3,4] => 10100 => [1,1,1,2] => 28
[6,1,5,2,4,3] => 10101 => [1,1,1,1,1] => 42
[6,1,5,3,2,4] => 10110 => [1,1,2,1] => 32
[6,1,5,3,4,2] => 10101 => [1,1,1,1,1] => 42
[6,1,5,4,2,3] => 10110 => [1,1,2,1] => 32
[6,1,5,4,3,2] => 10111 => [1,1,3] => 14
[6,2,1,3,4,5] => 11000 => [2,3] => 10
[6,2,1,3,5,4] => 11001 => [2,2,1] => 22
[6,2,1,4,3,5] => 11010 => [2,1,1,1] => 28
[6,2,1,4,5,3] => 11001 => [2,2,1] => 22
[6,2,1,5,3,4] => 11010 => [2,1,1,1] => 28
[6,2,1,5,4,3] => 11011 => [2,1,2] => 19
[6,2,3,1,4,5] => 10100 => [1,1,1,2] => 28
[6,2,3,1,5,4] => 10101 => [1,1,1,1,1] => 42
[6,2,3,4,1,5] => 10010 => [1,2,1,1] => 32
[6,2,3,4,5,1] => 10001 => [1,3,1] => 17
[6,2,3,5,1,4] => 10010 => [1,2,1,1] => 32
[6,2,3,5,4,1] => 10011 => [1,2,2] => 22
[6,2,4,1,3,5] => 10100 => [1,1,1,2] => 28
[6,2,4,1,5,3] => 10101 => [1,1,1,1,1] => 42
[6,2,4,3,1,5] => 10110 => [1,1,2,1] => 32
[6,2,4,3,5,1] => 10101 => [1,1,1,1,1] => 42
[6,2,4,5,1,3] => 10010 => [1,2,1,1] => 32
[6,2,4,5,3,1] => 10011 => [1,2,2] => 22
[6,2,5,1,3,4] => 10100 => [1,1,1,2] => 28
[6,2,5,1,4,3] => 10101 => [1,1,1,1,1] => 42
[6,2,5,3,1,4] => 10110 => [1,1,2,1] => 32
[6,2,5,3,4,1] => 10101 => [1,1,1,1,1] => 42
[6,2,5,4,1,3] => 10110 => [1,1,2,1] => 32
[6,2,5,4,3,1] => 10111 => [1,1,3] => 14
[6,3,1,2,4,5] => 11000 => [2,3] => 10
[6,3,1,2,5,4] => 11001 => [2,2,1] => 22
[6,3,1,4,2,5] => 11010 => [2,1,1,1] => 28
[6,3,1,4,5,2] => 11001 => [2,2,1] => 22
[6,3,1,5,2,4] => 11010 => [2,1,1,1] => 28
[6,3,1,5,4,2] => 11011 => [2,1,2] => 19
[6,3,2,1,4,5] => 11100 => [3,2] => 10
[6,3,2,1,5,4] => 11101 => [3,1,1] => 14
[6,3,2,4,1,5] => 11010 => [2,1,1,1] => 28
[6,3,2,4,5,1] => 11001 => [2,2,1] => 22
[6,3,2,5,1,4] => 11010 => [2,1,1,1] => 28
[6,3,2,5,4,1] => 11011 => [2,1,2] => 19
[6,3,4,1,2,5] => 10100 => [1,1,1,2] => 28
[6,3,4,1,5,2] => 10101 => [1,1,1,1,1] => 42
[6,3,4,2,1,5] => 10110 => [1,1,2,1] => 32
[6,3,4,2,5,1] => 10101 => [1,1,1,1,1] => 42
[6,3,4,5,1,2] => 10010 => [1,2,1,1] => 32
[6,3,4,5,2,1] => 10011 => [1,2,2] => 22
[6,3,5,1,2,4] => 10100 => [1,1,1,2] => 28
[6,3,5,1,4,2] => 10101 => [1,1,1,1,1] => 42
[6,3,5,2,1,4] => 10110 => [1,1,2,1] => 32
[6,3,5,2,4,1] => 10101 => [1,1,1,1,1] => 42
[6,3,5,4,1,2] => 10110 => [1,1,2,1] => 32
[6,3,5,4,2,1] => 10111 => [1,1,3] => 14
[6,4,1,2,3,5] => 11000 => [2,3] => 10
[6,4,1,2,5,3] => 11001 => [2,2,1] => 22
[6,4,1,3,2,5] => 11010 => [2,1,1,1] => 28
[6,4,1,3,5,2] => 11001 => [2,2,1] => 22
[6,4,1,5,2,3] => 11010 => [2,1,1,1] => 28
[6,4,1,5,3,2] => 11011 => [2,1,2] => 19
[6,4,2,1,3,5] => 11100 => [3,2] => 10
[6,4,2,1,5,3] => 11101 => [3,1,1] => 14
[6,4,2,3,1,5] => 11010 => [2,1,1,1] => 28
[6,4,2,3,5,1] => 11001 => [2,2,1] => 22
[6,4,2,5,1,3] => 11010 => [2,1,1,1] => 28
[6,4,2,5,3,1] => 11011 => [2,1,2] => 19
[6,4,3,1,2,5] => 11100 => [3,2] => 10
[6,4,3,1,5,2] => 11101 => [3,1,1] => 14
[6,4,3,2,1,5] => 11110 => [4,1] => 5
[6,4,3,2,5,1] => 11101 => [3,1,1] => 14
[6,4,3,5,1,2] => 11010 => [2,1,1,1] => 28
[6,4,3,5,2,1] => 11011 => [2,1,2] => 19
[6,4,5,1,2,3] => 10100 => [1,1,1,2] => 28
[6,4,5,1,3,2] => 10101 => [1,1,1,1,1] => 42
[6,4,5,2,1,3] => 10110 => [1,1,2,1] => 32
[6,4,5,2,3,1] => 10101 => [1,1,1,1,1] => 42
[6,4,5,3,1,2] => 10110 => [1,1,2,1] => 32
[6,4,5,3,2,1] => 10111 => [1,1,3] => 14
[6,5,1,2,3,4] => 11000 => [2,3] => 10
[6,5,1,2,4,3] => 11001 => [2,2,1] => 22
[6,5,1,3,2,4] => 11010 => [2,1,1,1] => 28
[6,5,1,3,4,2] => 11001 => [2,2,1] => 22
[6,5,1,4,2,3] => 11010 => [2,1,1,1] => 28
[6,5,1,4,3,2] => 11011 => [2,1,2] => 19
[6,5,2,1,3,4] => 11100 => [3,2] => 10
[6,5,2,1,4,3] => 11101 => [3,1,1] => 14
[6,5,2,3,1,4] => 11010 => [2,1,1,1] => 28
[6,5,2,3,4,1] => 11001 => [2,2,1] => 22
[6,5,2,4,1,3] => 11010 => [2,1,1,1] => 28
[6,5,2,4,3,1] => 11011 => [2,1,2] => 19
[6,5,3,1,2,4] => 11100 => [3,2] => 10
[6,5,3,1,4,2] => 11101 => [3,1,1] => 14
[6,5,3,2,1,4] => 11110 => [4,1] => 5
[6,5,3,2,4,1] => 11101 => [3,1,1] => 14
[6,5,3,4,1,2] => 11010 => [2,1,1,1] => 28
[6,5,3,4,2,1] => 11011 => [2,1,2] => 19
[6,5,4,1,2,3] => 11100 => [3,2] => 10
[6,5,4,1,3,2] => 11101 => [3,1,1] => 14
[6,5,4,2,1,3] => 11110 => [4,1] => 5
[6,5,4,2,3,1] => 11101 => [3,1,1] => 14
[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] => 20
[1,2,3,4,6,7,5] => 000001 => [5,1] => 6
[1,2,3,4,7,5,6] => 000010 => [4,1,1] => 20
[1,2,3,4,7,6,5] => 000011 => [4,2] => 15
[1,2,3,5,4,6,7] => 000100 => [3,1,2] => 34
[1,2,3,5,4,7,6] => 000101 => [3,1,1,1] => 48
[1,2,3,5,6,4,7] => 000010 => [4,1,1] => 20
[1,2,3,5,6,7,4] => 000001 => [5,1] => 6
[1,2,3,5,7,4,6] => 000010 => [4,1,1] => 20
[1,2,3,5,7,6,4] => 000011 => [4,2] => 15
[1,2,3,6,4,5,7] => 000100 => [3,1,2] => 34
[1,2,3,6,4,7,5] => 000101 => [3,1,1,1] => 48
[1,2,3,6,5,4,7] => 000110 => [3,2,1] => 40
[1,2,3,6,5,7,4] => 000101 => [3,1,1,1] => 48
[1,2,3,6,7,4,5] => 000010 => [4,1,1] => 20
[1,2,3,6,7,5,4] => 000011 => [4,2] => 15
[1,2,3,7,4,5,6] => 000100 => [3,1,2] => 34
[1,2,3,7,4,6,5] => 000101 => [3,1,1,1] => 48
[1,2,3,7,5,4,6] => 000110 => [3,2,1] => 40
[1,2,3,7,5,6,4] => 000101 => [3,1,1,1] => 48
[1,2,3,7,6,4,5] => 000110 => [3,2,1] => 40
[1,2,3,7,6,5,4] => 000111 => [3,3] => 20
[1,2,4,3,5,6,7] => 001000 => [2,1,3] => 34
[1,2,4,3,5,7,6] => 001001 => [2,1,2,1] => 72
[1,2,4,3,6,5,7] => 001010 => [2,1,1,1,1] => 90
[1,2,4,3,6,7,5] => 001001 => [2,1,2,1] => 72
[1,2,4,3,7,5,6] => 001010 => [2,1,1,1,1] => 90
[1,2,4,3,7,6,5] => 001011 => [2,1,1,2] => 62
[1,2,4,5,3,6,7] => 000100 => [3,1,2] => 34
[1,2,4,5,3,7,6] => 000101 => [3,1,1,1] => 48
[1,2,4,5,6,3,7] => 000010 => [4,1,1] => 20
[1,2,4,5,6,7,3] => 000001 => [5,1] => 6
[1,2,4,5,7,3,6] => 000010 => [4,1,1] => 20
[1,2,4,5,7,6,3] => 000011 => [4,2] => 15
[1,2,4,6,3,5,7] => 000100 => [3,1,2] => 34
[1,2,4,6,3,7,5] => 000101 => [3,1,1,1] => 48
[1,2,4,6,5,3,7] => 000110 => [3,2,1] => 40
[1,2,4,6,5,7,3] => 000101 => [3,1,1,1] => 48
[1,2,4,6,7,3,5] => 000010 => [4,1,1] => 20
[1,2,4,6,7,5,3] => 000011 => [4,2] => 15
[1,2,4,7,3,5,6] => 000100 => [3,1,2] => 34
[1,2,4,7,3,6,5] => 000101 => [3,1,1,1] => 48
[1,2,4,7,5,3,6] => 000110 => [3,2,1] => 40
[1,2,4,7,5,6,3] => 000101 => [3,1,1,1] => 48
[1,2,4,7,6,3,5] => 000110 => [3,2,1] => 40
[1,2,4,7,6,5,3] => 000111 => [3,3] => 20
[1,2,5,3,4,6,7] => 001000 => [2,1,3] => 34
[1,2,5,3,4,7,6] => 001001 => [2,1,2,1] => 72
[1,2,5,3,6,4,7] => 001010 => [2,1,1,1,1] => 90
[1,2,5,3,6,7,4] => 001001 => [2,1,2,1] => 72
[1,2,5,3,7,4,6] => 001010 => [2,1,1,1,1] => 90
[1,2,5,3,7,6,4] => 001011 => [2,1,1,2] => 62
[1,2,5,4,3,6,7] => 001100 => [2,2,2] => 53
[1,2,5,4,3,7,6] => 001101 => [2,2,1,1] => 75
[1,2,5,4,6,3,7] => 001010 => [2,1,1,1,1] => 90
[1,2,5,4,6,7,3] => 001001 => [2,1,2,1] => 72
[1,2,5,4,7,3,6] => 001010 => [2,1,1,1,1] => 90
[1,2,5,4,7,6,3] => 001011 => [2,1,1,2] => 62
[1,2,5,6,3,4,7] => 000100 => [3,1,2] => 34
[1,2,5,6,3,7,4] => 000101 => [3,1,1,1] => 48
[1,2,5,6,4,3,7] => 000110 => [3,2,1] => 40
[1,2,5,6,4,7,3] => 000101 => [3,1,1,1] => 48
[1,2,5,6,7,3,4] => 000010 => [4,1,1] => 20
[1,2,5,6,7,4,3] => 000011 => [4,2] => 15
[1,2,5,7,3,4,6] => 000100 => [3,1,2] => 34
[1,2,5,7,3,6,4] => 000101 => [3,1,1,1] => 48
[1,2,5,7,4,3,6] => 000110 => [3,2,1] => 40
[1,2,5,7,4,6,3] => 000101 => [3,1,1,1] => 48
[1,2,5,7,6,3,4] => 000110 => [3,2,1] => 40
[1,2,5,7,6,4,3] => 000111 => [3,3] => 20
[1,2,6,3,4,5,7] => 001000 => [2,1,3] => 34
[1,2,6,3,4,7,5] => 001001 => [2,1,2,1] => 72
[1,2,6,3,5,4,7] => 001010 => [2,1,1,1,1] => 90
[1,2,6,3,5,7,4] => 001001 => [2,1,2,1] => 72
[1,2,6,3,7,4,5] => 001010 => [2,1,1,1,1] => 90
[1,2,6,3,7,5,4] => 001011 => [2,1,1,2] => 62
[1,2,6,4,3,5,7] => 001100 => [2,2,2] => 53
[1,2,6,4,3,7,5] => 001101 => [2,2,1,1] => 75
[1,2,6,4,5,3,7] => 001010 => [2,1,1,1,1] => 90
[1,2,6,4,5,7,3] => 001001 => [2,1,2,1] => 72
[1,2,6,4,7,3,5] => 001010 => [2,1,1,1,1] => 90
[1,2,6,4,7,5,3] => 001011 => [2,1,1,2] => 62
[1,2,6,5,3,4,7] => 001100 => [2,2,2] => 53
[1,2,6,5,3,7,4] => 001101 => [2,2,1,1] => 75
[1,2,6,5,4,3,7] => 001110 => [2,3,1] => 45
[1,2,6,5,4,7,3] => 001101 => [2,2,1,1] => 75
[1,2,6,5,7,3,4] => 001010 => [2,1,1,1,1] => 90
[1,2,6,5,7,4,3] => 001011 => [2,1,1,2] => 62
[1,2,6,7,3,4,5] => 000100 => [3,1,2] => 34
[1,2,6,7,3,5,4] => 000101 => [3,1,1,1] => 48
[1,2,6,7,4,3,5] => 000110 => [3,2,1] => 40
[1,2,6,7,4,5,3] => 000101 => [3,1,1,1] => 48
[1,2,6,7,5,3,4] => 000110 => [3,2,1] => 40
[1,2,6,7,5,4,3] => 000111 => [3,3] => 20
[1,2,7,3,4,5,6] => 001000 => [2,1,3] => 34
[1,2,7,3,4,6,5] => 001001 => [2,1,2,1] => 72
[1,2,7,3,5,4,6] => 001010 => [2,1,1,1,1] => 90
[1,2,7,3,5,6,4] => 001001 => [2,1,2,1] => 72
[1,2,7,3,6,4,5] => 001010 => [2,1,1,1,1] => 90
[1,2,7,3,6,5,4] => 001011 => [2,1,1,2] => 62
[1,2,7,4,3,5,6] => 001100 => [2,2,2] => 53
[1,2,7,4,3,6,5] => 001101 => [2,2,1,1] => 75
[1,2,7,4,5,3,6] => 001010 => [2,1,1,1,1] => 90
[1,2,7,4,5,6,3] => 001001 => [2,1,2,1] => 72
[1,2,7,4,6,3,5] => 001010 => [2,1,1,1,1] => 90
[1,2,7,4,6,5,3] => 001011 => [2,1,1,2] => 62
[1,2,7,5,3,4,6] => 001100 => [2,2,2] => 53
[1,2,7,5,3,6,4] => 001101 => [2,2,1,1] => 75
[1,2,7,5,4,3,6] => 001110 => [2,3,1] => 45
[1,2,7,5,4,6,3] => 001101 => [2,2,1,1] => 75
[1,2,7,5,6,3,4] => 001010 => [2,1,1,1,1] => 90
[1,2,7,5,6,4,3] => 001011 => [2,1,1,2] => 62
[1,2,7,6,3,4,5] => 001100 => [2,2,2] => 53
[1,2,7,6,3,5,4] => 001101 => [2,2,1,1] => 75
[1,2,7,6,4,3,5] => 001110 => [2,3,1] => 45
[1,2,7,6,4,5,3] => 001101 => [2,2,1,1] => 75
[1,2,7,6,5,3,4] => 001110 => [2,3,1] => 45
[1,2,7,6,5,4,3] => 001111 => [2,4] => 15
[1,3,2,4,5,6,7] => 010000 => [1,1,4] => 20
[1,3,2,4,5,7,6] => 010001 => [1,1,3,1] => 62
[1,3,2,4,6,5,7] => 010010 => [1,1,2,1,1] => 107
[1,3,2,4,6,7,5] => 010001 => [1,1,3,1] => 62
[1,3,2,4,7,5,6] => 010010 => [1,1,2,1,1] => 107
[1,3,2,4,7,6,5] => 010011 => [1,1,2,2] => 75
[1,3,2,5,4,6,7] => 010100 => [1,1,1,1,2] => 90
[1,3,2,5,4,7,6] => 010101 => [1,1,1,1,1,1] => 132
[1,3,2,5,6,4,7] => 010010 => [1,1,2,1,1] => 107
[1,3,2,5,6,7,4] => 010001 => [1,1,3,1] => 62
[1,3,2,5,7,4,6] => 010010 => [1,1,2,1,1] => 107
[1,3,2,5,7,6,4] => 010011 => [1,1,2,2] => 75
[1,3,2,6,4,5,7] => 010100 => [1,1,1,1,2] => 90
[1,3,2,6,4,7,5] => 010101 => [1,1,1,1,1,1] => 132
[1,3,2,6,5,4,7] => 010110 => [1,1,1,2,1] => 104
[1,3,2,6,5,7,4] => 010101 => [1,1,1,1,1,1] => 132
[1,3,2,6,7,4,5] => 010010 => [1,1,2,1,1] => 107
[1,3,2,6,7,5,4] => 010011 => [1,1,2,2] => 75
[1,3,2,7,4,5,6] => 010100 => [1,1,1,1,2] => 90
[1,3,2,7,4,6,5] => 010101 => [1,1,1,1,1,1] => 132
[1,3,2,7,5,4,6] => 010110 => [1,1,1,2,1] => 104
[1,3,2,7,5,6,4] => 010101 => [1,1,1,1,1,1] => 132
[1,3,2,7,6,4,5] => 010110 => [1,1,1,2,1] => 104
[1,3,2,7,6,5,4] => 010111 => [1,1,1,3] => 48
[1,3,4,2,5,6,7] => 001000 => [2,1,3] => 34
[1,3,4,2,5,7,6] => 001001 => [2,1,2,1] => 72
[1,3,4,2,6,5,7] => 001010 => [2,1,1,1,1] => 90
[1,3,4,2,6,7,5] => 001001 => [2,1,2,1] => 72
[1,3,4,2,7,5,6] => 001010 => [2,1,1,1,1] => 90
[1,3,4,2,7,6,5] => 001011 => [2,1,1,2] => 62
[1,3,4,5,2,6,7] => 000100 => [3,1,2] => 34
[1,3,4,5,2,7,6] => 000101 => [3,1,1,1] => 48
[1,3,4,5,6,2,7] => 000010 => [4,1,1] => 20
[1,3,4,5,6,7,2] => 000001 => [5,1] => 6
[1,3,4,5,7,2,6] => 000010 => [4,1,1] => 20
[1,3,4,5,7,6,2] => 000011 => [4,2] => 15
[1,3,4,6,2,5,7] => 000100 => [3,1,2] => 34
[1,3,4,6,2,7,5] => 000101 => [3,1,1,1] => 48
[1,3,4,6,5,2,7] => 000110 => [3,2,1] => 40
[1,3,4,6,5,7,2] => 000101 => [3,1,1,1] => 48
[1,3,4,6,7,2,5] => 000010 => [4,1,1] => 20
[1,3,4,6,7,5,2] => 000011 => [4,2] => 15
[1,3,4,7,2,5,6] => 000100 => [3,1,2] => 34
[1,3,4,7,2,6,5] => 000101 => [3,1,1,1] => 48
[1,3,4,7,5,2,6] => 000110 => [3,2,1] => 40
[1,3,4,7,5,6,2] => 000101 => [3,1,1,1] => 48
[1,3,4,7,6,2,5] => 000110 => [3,2,1] => 40
[1,3,4,7,6,5,2] => 000111 => [3,3] => 20
[1,3,5,2,4,6,7] => 001000 => [2,1,3] => 34
[1,3,5,2,4,7,6] => 001001 => [2,1,2,1] => 72
[1,3,5,2,6,4,7] => 001010 => [2,1,1,1,1] => 90
[1,3,5,2,6,7,4] => 001001 => [2,1,2,1] => 72
[1,3,5,2,7,4,6] => 001010 => [2,1,1,1,1] => 90
[1,3,5,2,7,6,4] => 001011 => [2,1,1,2] => 62
[1,3,5,4,2,6,7] => 001100 => [2,2,2] => 53
[1,3,5,4,2,7,6] => 001101 => [2,2,1,1] => 75
[1,3,5,4,6,2,7] => 001010 => [2,1,1,1,1] => 90
[1,3,5,4,6,7,2] => 001001 => [2,1,2,1] => 72
[1,3,5,4,7,2,6] => 001010 => [2,1,1,1,1] => 90
[1,3,5,4,7,6,2] => 001011 => [2,1,1,2] => 62
[1,3,5,6,2,4,7] => 000100 => [3,1,2] => 34
[1,3,5,6,2,7,4] => 000101 => [3,1,1,1] => 48
[1,3,5,6,4,2,7] => 000110 => [3,2,1] => 40
[1,3,5,6,4,7,2] => 000101 => [3,1,1,1] => 48
[1,3,5,6,7,2,4] => 000010 => [4,1,1] => 20
[1,3,5,6,7,4,2] => 000011 => [4,2] => 15
[1,3,5,7,2,4,6] => 000100 => [3,1,2] => 34
[1,3,5,7,2,6,4] => 000101 => [3,1,1,1] => 48
[1,3,5,7,4,2,6] => 000110 => [3,2,1] => 40
[1,3,5,7,4,6,2] => 000101 => [3,1,1,1] => 48
[1,3,5,7,6,2,4] => 000110 => [3,2,1] => 40
[1,3,5,7,6,4,2] => 000111 => [3,3] => 20
[1,3,6,2,4,5,7] => 001000 => [2,1,3] => 34
[1,3,6,2,4,7,5] => 001001 => [2,1,2,1] => 72
[1,3,6,2,5,4,7] => 001010 => [2,1,1,1,1] => 90
[1,3,6,2,5,7,4] => 001001 => [2,1,2,1] => 72
[1,3,6,2,7,4,5] => 001010 => [2,1,1,1,1] => 90
[1,3,6,2,7,5,4] => 001011 => [2,1,1,2] => 62
[1,3,6,4,2,5,7] => 001100 => [2,2,2] => 53
[1,3,6,4,2,7,5] => 001101 => [2,2,1,1] => 75
[1,3,6,4,5,2,7] => 001010 => [2,1,1,1,1] => 90
[1,3,6,4,5,7,2] => 001001 => [2,1,2,1] => 72
[1,3,6,4,7,2,5] => 001010 => [2,1,1,1,1] => 90
[1,3,6,4,7,5,2] => 001011 => [2,1,1,2] => 62
[1,3,6,5,2,4,7] => 001100 => [2,2,2] => 53
[1,3,6,5,2,7,4] => 001101 => [2,2,1,1] => 75
[1,3,6,5,4,2,7] => 001110 => [2,3,1] => 45
[1,3,6,5,4,7,2] => 001101 => [2,2,1,1] => 75
[1,3,6,5,7,2,4] => 001010 => [2,1,1,1,1] => 90
[1,3,6,5,7,4,2] => 001011 => [2,1,1,2] => 62
[1,3,6,7,2,4,5] => 000100 => [3,1,2] => 34
[1,3,6,7,2,5,4] => 000101 => [3,1,1,1] => 48
[1,3,6,7,4,2,5] => 000110 => [3,2,1] => 40
[1,3,6,7,4,5,2] => 000101 => [3,1,1,1] => 48
[1,3,6,7,5,2,4] => 000110 => [3,2,1] => 40
[1,3,6,7,5,4,2] => 000111 => [3,3] => 20
[1,3,7,2,4,5,6] => 001000 => [2,1,3] => 34
[1,3,7,2,4,6,5] => 001001 => [2,1,2,1] => 72
[1,3,7,2,5,4,6] => 001010 => [2,1,1,1,1] => 90
[1,3,7,2,5,6,4] => 001001 => [2,1,2,1] => 72
[1,3,7,2,6,4,5] => 001010 => [2,1,1,1,1] => 90
[1,3,7,2,6,5,4] => 001011 => [2,1,1,2] => 62
[1,3,7,4,2,5,6] => 001100 => [2,2,2] => 53
[1,3,7,4,2,6,5] => 001101 => [2,2,1,1] => 75
[1,3,7,4,5,2,6] => 001010 => [2,1,1,1,1] => 90
[1,3,7,4,5,6,2] => 001001 => [2,1,2,1] => 72
[1,3,7,4,6,2,5] => 001010 => [2,1,1,1,1] => 90
[1,3,7,4,6,5,2] => 001011 => [2,1,1,2] => 62
[1,3,7,5,2,4,6] => 001100 => [2,2,2] => 53
[1,3,7,5,2,6,4] => 001101 => [2,2,1,1] => 75
[1,3,7,5,4,2,6] => 001110 => [2,3,1] => 45
[1,3,7,5,4,6,2] => 001101 => [2,2,1,1] => 75
[1,3,7,5,6,2,4] => 001010 => [2,1,1,1,1] => 90
[1,3,7,5,6,4,2] => 001011 => [2,1,1,2] => 62
[1,3,7,6,2,4,5] => 001100 => [2,2,2] => 53
[1,3,7,6,2,5,4] => 001101 => [2,2,1,1] => 75
[1,3,7,6,4,2,5] => 001110 => [2,3,1] => 45
[1,3,7,6,4,5,2] => 001101 => [2,2,1,1] => 75
[1,3,7,6,5,2,4] => 001110 => [2,3,1] => 45
[1,3,7,6,5,4,2] => 001111 => [2,4] => 15
[1,4,2,3,5,6,7] => 010000 => [1,1,4] => 20
[1,4,2,3,5,7,6] => 010001 => [1,1,3,1] => 62
[1,4,2,3,6,5,7] => 010010 => [1,1,2,1,1] => 107
[1,4,2,3,6,7,5] => 010001 => [1,1,3,1] => 62
[1,4,2,3,7,5,6] => 010010 => [1,1,2,1,1] => 107
[1,4,2,3,7,6,5] => 010011 => [1,1,2,2] => 75
[1,4,2,5,3,6,7] => 010100 => [1,1,1,1,2] => 90
[1,4,2,5,3,7,6] => 010101 => [1,1,1,1,1,1] => 132
[1,4,2,5,6,3,7] => 010010 => [1,1,2,1,1] => 107
[1,4,2,5,6,7,3] => 010001 => [1,1,3,1] => 62
[1,4,2,5,7,3,6] => 010010 => [1,1,2,1,1] => 107
[1,4,2,5,7,6,3] => 010011 => [1,1,2,2] => 75
[1,4,2,6,3,5,7] => 010100 => [1,1,1,1,2] => 90
[1,4,2,6,3,7,5] => 010101 => [1,1,1,1,1,1] => 132
[1,4,2,6,5,3,7] => 010110 => [1,1,1,2,1] => 104
[1,4,2,6,5,7,3] => 010101 => [1,1,1,1,1,1] => 132
[1,4,2,6,7,3,5] => 010010 => [1,1,2,1,1] => 107
[1,4,2,6,7,5,3] => 010011 => [1,1,2,2] => 75
[1,4,2,7,3,5,6] => 010100 => [1,1,1,1,2] => 90
[1,4,2,7,3,6,5] => 010101 => [1,1,1,1,1,1] => 132
[1,4,2,7,5,3,6] => 010110 => [1,1,1,2,1] => 104
[1,4,2,7,5,6,3] => 010101 => [1,1,1,1,1,1] => 132
[1,4,2,7,6,3,5] => 010110 => [1,1,1,2,1] => 104
[1,4,2,7,6,5,3] => 010111 => [1,1,1,3] => 48
[1,4,3,2,5,6,7] => 011000 => [1,2,3] => 40
[1,4,3,2,5,7,6] => 011001 => [1,2,2,1] => 84
[1,4,3,2,6,5,7] => 011010 => [1,2,1,1,1] => 104
[1,4,3,2,6,7,5] => 011001 => [1,2,2,1] => 84
[1,4,3,2,7,5,6] => 011010 => [1,2,1,1,1] => 104
[1,4,3,2,7,6,5] => 011011 => [1,2,1,2] => 72
[1,4,3,5,2,6,7] => 010100 => [1,1,1,1,2] => 90
[1,4,3,5,2,7,6] => 010101 => [1,1,1,1,1,1] => 132
[1,4,3,5,6,2,7] => 010010 => [1,1,2,1,1] => 107
[1,4,3,5,6,7,2] => 010001 => [1,1,3,1] => 62
[1,4,3,5,7,2,6] => 010010 => [1,1,2,1,1] => 107
[1,4,3,5,7,6,2] => 010011 => [1,1,2,2] => 75
[1,4,3,6,2,5,7] => 010100 => [1,1,1,1,2] => 90
[1,4,3,6,2,7,5] => 010101 => [1,1,1,1,1,1] => 132
[1,4,3,6,5,2,7] => 010110 => [1,1,1,2,1] => 104
[1,4,3,6,5,7,2] => 010101 => [1,1,1,1,1,1] => 132
[1,4,3,6,7,2,5] => 010010 => [1,1,2,1,1] => 107
[1,4,3,6,7,5,2] => 010011 => [1,1,2,2] => 75
[1,4,3,7,2,5,6] => 010100 => [1,1,1,1,2] => 90
[1,4,3,7,2,6,5] => 010101 => [1,1,1,1,1,1] => 132
[1,4,3,7,5,2,6] => 010110 => [1,1,1,2,1] => 104
[1,4,3,7,5,6,2] => 010101 => [1,1,1,1,1,1] => 132
[1,4,3,7,6,2,5] => 010110 => [1,1,1,2,1] => 104
[1,4,3,7,6,5,2] => 010111 => [1,1,1,3] => 48
[1,4,5,2,3,6,7] => 001000 => [2,1,3] => 34
[1,4,5,2,3,7,6] => 001001 => [2,1,2,1] => 72
[1,4,5,2,6,3,7] => 001010 => [2,1,1,1,1] => 90
[1,4,5,2,6,7,3] => 001001 => [2,1,2,1] => 72
[1,4,5,2,7,3,6] => 001010 => [2,1,1,1,1] => 90
[1,4,5,2,7,6,3] => 001011 => [2,1,1,2] => 62
[1,4,5,3,2,6,7] => 001100 => [2,2,2] => 53
[1,4,5,3,2,7,6] => 001101 => [2,2,1,1] => 75
[1,4,5,3,6,2,7] => 001010 => [2,1,1,1,1] => 90
[1,4,5,3,6,7,2] => 001001 => [2,1,2,1] => 72
[1,4,5,3,7,2,6] => 001010 => [2,1,1,1,1] => 90
[1,4,5,3,7,6,2] => 001011 => [2,1,1,2] => 62
[1,4,5,6,2,3,7] => 000100 => [3,1,2] => 34
[1,4,5,6,2,7,3] => 000101 => [3,1,1,1] => 48
[1,4,5,6,3,2,7] => 000110 => [3,2,1] => 40
[1,4,5,6,3,7,2] => 000101 => [3,1,1,1] => 48
[1,4,5,6,7,2,3] => 000010 => [4,1,1] => 20
[1,4,5,6,7,3,2] => 000011 => [4,2] => 15
[1,4,5,7,2,3,6] => 000100 => [3,1,2] => 34
[1,4,5,7,2,6,3] => 000101 => [3,1,1,1] => 48
[1,4,5,7,3,2,6] => 000110 => [3,2,1] => 40
[1,4,5,7,3,6,2] => 000101 => [3,1,1,1] => 48
[1,4,5,7,6,2,3] => 000110 => [3,2,1] => 40
[1,4,5,7,6,3,2] => 000111 => [3,3] => 20
[1,4,6,2,3,5,7] => 001000 => [2,1,3] => 34
[1,4,6,2,3,7,5] => 001001 => [2,1,2,1] => 72
[1,4,6,2,5,3,7] => 001010 => [2,1,1,1,1] => 90
[1,4,6,2,5,7,3] => 001001 => [2,1,2,1] => 72
[1,4,6,2,7,3,5] => 001010 => [2,1,1,1,1] => 90
[1,4,6,2,7,5,3] => 001011 => [2,1,1,2] => 62
[1,4,6,3,2,5,7] => 001100 => [2,2,2] => 53
[1,4,6,3,2,7,5] => 001101 => [2,2,1,1] => 75
[1,4,6,3,5,2,7] => 001010 => [2,1,1,1,1] => 90
[1,4,6,3,5,7,2] => 001001 => [2,1,2,1] => 72
[1,4,6,3,7,2,5] => 001010 => [2,1,1,1,1] => 90
[1,4,6,3,7,5,2] => 001011 => [2,1,1,2] => 62
[1,4,6,5,2,3,7] => 001100 => [2,2,2] => 53
[1,4,6,5,2,7,3] => 001101 => [2,2,1,1] => 75
[1,4,6,5,3,2,7] => 001110 => [2,3,1] => 45
[1,4,6,5,3,7,2] => 001101 => [2,2,1,1] => 75
[1,4,6,5,7,2,3] => 001010 => [2,1,1,1,1] => 90
[1,4,6,5,7,3,2] => 001011 => [2,1,1,2] => 62
[1,4,6,7,2,3,5] => 000100 => [3,1,2] => 34
[1,4,6,7,2,5,3] => 000101 => [3,1,1,1] => 48
[1,4,6,7,3,2,5] => 000110 => [3,2,1] => 40
[1,4,6,7,3,5,2] => 000101 => [3,1,1,1] => 48
[1,4,6,7,5,2,3] => 000110 => [3,2,1] => 40
[1,4,6,7,5,3,2] => 000111 => [3,3] => 20
[1,4,7,2,3,5,6] => 001000 => [2,1,3] => 34
[1,4,7,2,3,6,5] => 001001 => [2,1,2,1] => 72
[1,4,7,2,5,3,6] => 001010 => [2,1,1,1,1] => 90
[1,4,7,2,5,6,3] => 001001 => [2,1,2,1] => 72
[1,4,7,2,6,3,5] => 001010 => [2,1,1,1,1] => 90
[1,4,7,2,6,5,3] => 001011 => [2,1,1,2] => 62
[1,4,7,3,2,5,6] => 001100 => [2,2,2] => 53
[1,4,7,3,2,6,5] => 001101 => [2,2,1,1] => 75
[1,4,7,3,5,2,6] => 001010 => [2,1,1,1,1] => 90
[1,4,7,3,5,6,2] => 001001 => [2,1,2,1] => 72
[1,4,7,3,6,2,5] => 001010 => [2,1,1,1,1] => 90
[1,4,7,3,6,5,2] => 001011 => [2,1,1,2] => 62
[1,4,7,5,2,3,6] => 001100 => [2,2,2] => 53
[1,4,7,5,2,6,3] => 001101 => [2,2,1,1] => 75
[1,4,7,5,3,2,6] => 001110 => [2,3,1] => 45
[1,4,7,5,3,6,2] => 001101 => [2,2,1,1] => 75
[1,4,7,5,6,2,3] => 001010 => [2,1,1,1,1] => 90
[1,4,7,5,6,3,2] => 001011 => [2,1,1,2] => 62
[1,4,7,6,2,3,5] => 001100 => [2,2,2] => 53
[1,4,7,6,2,5,3] => 001101 => [2,2,1,1] => 75
[1,4,7,6,3,2,5] => 001110 => [2,3,1] => 45
[1,4,7,6,3,5,2] => 001101 => [2,2,1,1] => 75
[1,4,7,6,5,2,3] => 001110 => [2,3,1] => 45
[1,4,7,6,5,3,2] => 001111 => [2,4] => 15
[1,5,2,3,4,6,7] => 010000 => [1,1,4] => 20
[1,5,2,3,4,7,6] => 010001 => [1,1,3,1] => 62
[1,5,2,3,6,4,7] => 010010 => [1,1,2,1,1] => 107
[1,5,2,3,6,7,4] => 010001 => [1,1,3,1] => 62
[1,5,2,3,7,4,6] => 010010 => [1,1,2,1,1] => 107
[1,5,2,3,7,6,4] => 010011 => [1,1,2,2] => 75
[1,5,2,4,3,6,7] => 010100 => [1,1,1,1,2] => 90
[1,5,2,4,3,7,6] => 010101 => [1,1,1,1,1,1] => 132
[1,5,2,4,6,3,7] => 010010 => [1,1,2,1,1] => 107
[1,5,2,4,6,7,3] => 010001 => [1,1,3,1] => 62
[1,5,2,4,7,3,6] => 010010 => [1,1,2,1,1] => 107
[1,5,2,4,7,6,3] => 010011 => [1,1,2,2] => 75
[1,5,2,6,3,4,7] => 010100 => [1,1,1,1,2] => 90
[1,5,2,6,3,7,4] => 010101 => [1,1,1,1,1,1] => 132
[1,5,2,6,4,3,7] => 010110 => [1,1,1,2,1] => 104
[1,5,2,6,4,7,3] => 010101 => [1,1,1,1,1,1] => 132
[1,5,2,6,7,3,4] => 010010 => [1,1,2,1,1] => 107
[1,5,2,6,7,4,3] => 010011 => [1,1,2,2] => 75
[1,5,2,7,3,4,6] => 010100 => [1,1,1,1,2] => 90
[1,5,2,7,3,6,4] => 010101 => [1,1,1,1,1,1] => 132
[1,5,2,7,4,3,6] => 010110 => [1,1,1,2,1] => 104
[1,5,2,7,4,6,3] => 010101 => [1,1,1,1,1,1] => 132
[1,5,2,7,6,3,4] => 010110 => [1,1,1,2,1] => 104
[1,5,2,7,6,4,3] => 010111 => [1,1,1,3] => 48
[1,5,3,2,4,6,7] => 011000 => [1,2,3] => 40
[1,5,3,2,4,7,6] => 011001 => [1,2,2,1] => 84
[1,5,3,2,6,4,7] => 011010 => [1,2,1,1,1] => 104
[1,5,3,2,6,7,4] => 011001 => [1,2,2,1] => 84
[1,5,3,2,7,4,6] => 011010 => [1,2,1,1,1] => 104
[1,5,3,2,7,6,4] => 011011 => [1,2,1,2] => 72
[1,5,3,4,2,6,7] => 010100 => [1,1,1,1,2] => 90
[1,5,3,4,2,7,6] => 010101 => [1,1,1,1,1,1] => 132
[1,5,3,4,6,2,7] => 010010 => [1,1,2,1,1] => 107
[1,5,3,4,6,7,2] => 010001 => [1,1,3,1] => 62
[1,5,3,4,7,2,6] => 010010 => [1,1,2,1,1] => 107
[1,5,3,4,7,6,2] => 010011 => [1,1,2,2] => 75
[1,5,3,6,2,4,7] => 010100 => [1,1,1,1,2] => 90
[1,5,3,6,2,7,4] => 010101 => [1,1,1,1,1,1] => 132
[1,5,3,6,4,2,7] => 010110 => [1,1,1,2,1] => 104
[1,5,3,6,4,7,2] => 010101 => [1,1,1,1,1,1] => 132
[1,5,3,6,7,2,4] => 010010 => [1,1,2,1,1] => 107
[1,5,3,6,7,4,2] => 010011 => [1,1,2,2] => 75
[1,5,3,7,2,4,6] => 010100 => [1,1,1,1,2] => 90
[1,5,3,7,2,6,4] => 010101 => [1,1,1,1,1,1] => 132
[1,5,3,7,4,2,6] => 010110 => [1,1,1,2,1] => 104
[1,5,3,7,4,6,2] => 010101 => [1,1,1,1,1,1] => 132
[1,5,3,7,6,2,4] => 010110 => [1,1,1,2,1] => 104
[1,5,3,7,6,4,2] => 010111 => [1,1,1,3] => 48
[1,5,4,2,3,6,7] => 011000 => [1,2,3] => 40
[1,5,4,2,3,7,6] => 011001 => [1,2,2,1] => 84
[1,5,4,2,6,3,7] => 011010 => [1,2,1,1,1] => 104
[1,5,4,2,6,7,3] => 011001 => [1,2,2,1] => 84
[1,5,4,2,7,3,6] => 011010 => [1,2,1,1,1] => 104
[1,5,4,2,7,6,3] => 011011 => [1,2,1,2] => 72
[1,5,4,3,2,6,7] => 011100 => [1,3,2] => 45
[1,5,4,3,2,7,6] => 011101 => [1,3,1,1] => 62
[1,5,4,3,6,2,7] => 011010 => [1,2,1,1,1] => 104
[1,5,4,3,6,7,2] => 011001 => [1,2,2,1] => 84
[1,5,4,3,7,2,6] => 011010 => [1,2,1,1,1] => 104
[1,5,4,3,7,6,2] => 011011 => [1,2,1,2] => 72
[1,5,4,6,2,3,7] => 010100 => [1,1,1,1,2] => 90
[1,5,4,6,2,7,3] => 010101 => [1,1,1,1,1,1] => 132
[1,5,4,6,3,2,7] => 010110 => [1,1,1,2,1] => 104
[1,5,4,6,3,7,2] => 010101 => [1,1,1,1,1,1] => 132
[1,5,4,6,7,2,3] => 010010 => [1,1,2,1,1] => 107
[1,5,4,6,7,3,2] => 010011 => [1,1,2,2] => 75
[1,5,4,7,2,3,6] => 010100 => [1,1,1,1,2] => 90
[1,5,4,7,2,6,3] => 010101 => [1,1,1,1,1,1] => 132
[1,5,4,7,3,2,6] => 010110 => [1,1,1,2,1] => 104
[1,5,4,7,3,6,2] => 010101 => [1,1,1,1,1,1] => 132
[1,5,4,7,6,2,3] => 010110 => [1,1,1,2,1] => 104
[1,5,4,7,6,3,2] => 010111 => [1,1,1,3] => 48
[1,5,6,2,3,4,7] => 001000 => [2,1,3] => 34
[1,5,6,2,3,7,4] => 001001 => [2,1,2,1] => 72
[1,5,6,2,4,3,7] => 001010 => [2,1,1,1,1] => 90
[1,5,6,2,4,7,3] => 001001 => [2,1,2,1] => 72
[1,5,6,2,7,3,4] => 001010 => [2,1,1,1,1] => 90
[1,5,6,2,7,4,3] => 001011 => [2,1,1,2] => 62
[1,5,6,3,2,4,7] => 001100 => [2,2,2] => 53
[1,5,6,3,2,7,4] => 001101 => [2,2,1,1] => 75
[1,5,6,3,4,2,7] => 001010 => [2,1,1,1,1] => 90
[1,5,6,3,4,7,2] => 001001 => [2,1,2,1] => 72
[1,5,6,3,7,2,4] => 001010 => [2,1,1,1,1] => 90
[1,5,6,3,7,4,2] => 001011 => [2,1,1,2] => 62
[1,5,6,4,2,3,7] => 001100 => [2,2,2] => 53
[1,5,6,4,2,7,3] => 001101 => [2,2,1,1] => 75
[1,5,6,4,3,2,7] => 001110 => [2,3,1] => 45
[1,5,6,4,3,7,2] => 001101 => [2,2,1,1] => 75
[1,5,6,4,7,2,3] => 001010 => [2,1,1,1,1] => 90
[1,5,6,4,7,3,2] => 001011 => [2,1,1,2] => 62
[1,5,6,7,2,3,4] => 000100 => [3,1,2] => 34
[1,5,6,7,2,4,3] => 000101 => [3,1,1,1] => 48
[1,5,6,7,3,2,4] => 000110 => [3,2,1] => 40
[1,5,6,7,3,4,2] => 000101 => [3,1,1,1] => 48
[1,5,6,7,4,2,3] => 000110 => [3,2,1] => 40
[1,5,6,7,4,3,2] => 000111 => [3,3] => 20
[1,5,7,2,3,4,6] => 001000 => [2,1,3] => 34
[1,5,7,2,3,6,4] => 001001 => [2,1,2,1] => 72
[1,5,7,2,4,3,6] => 001010 => [2,1,1,1,1] => 90
[1,5,7,2,4,6,3] => 001001 => [2,1,2,1] => 72
[1,5,7,2,6,3,4] => 001010 => [2,1,1,1,1] => 90
[1,5,7,2,6,4,3] => 001011 => [2,1,1,2] => 62
[1,5,7,3,2,4,6] => 001100 => [2,2,2] => 53
[1,5,7,3,2,6,4] => 001101 => [2,2,1,1] => 75
[1,5,7,3,4,2,6] => 001010 => [2,1,1,1,1] => 90
[1,5,7,3,4,6,2] => 001001 => [2,1,2,1] => 72
[1,5,7,3,6,2,4] => 001010 => [2,1,1,1,1] => 90
[1,5,7,3,6,4,2] => 001011 => [2,1,1,2] => 62
[1,5,7,4,2,3,6] => 001100 => [2,2,2] => 53
[1,5,7,4,2,6,3] => 001101 => [2,2,1,1] => 75
[1,5,7,4,3,2,6] => 001110 => [2,3,1] => 45
[1,5,7,4,3,6,2] => 001101 => [2,2,1,1] => 75
[1,5,7,4,6,2,3] => 001010 => [2,1,1,1,1] => 90
[1,5,7,4,6,3,2] => 001011 => [2,1,1,2] => 62
[1,5,7,6,2,3,4] => 001100 => [2,2,2] => 53
[1,5,7,6,2,4,3] => 001101 => [2,2,1,1] => 75
[1,5,7,6,3,2,4] => 001110 => [2,3,1] => 45
[1,5,7,6,3,4,2] => 001101 => [2,2,1,1] => 75
[1,5,7,6,4,2,3] => 001110 => [2,3,1] => 45
[1,5,7,6,4,3,2] => 001111 => [2,4] => 15
[1,6,2,3,4,5,7] => 010000 => [1,1,4] => 20
[1,6,2,3,4,7,5] => 010001 => [1,1,3,1] => 62
[1,6,2,3,5,4,7] => 010010 => [1,1,2,1,1] => 107
[1,6,2,3,5,7,4] => 010001 => [1,1,3,1] => 62
[1,6,2,3,7,4,5] => 010010 => [1,1,2,1,1] => 107
[1,6,2,3,7,5,4] => 010011 => [1,1,2,2] => 75
[1,6,2,4,3,5,7] => 010100 => [1,1,1,1,2] => 90
[1,6,2,4,3,7,5] => 010101 => [1,1,1,1,1,1] => 132
[1,6,2,4,5,3,7] => 010010 => [1,1,2,1,1] => 107
[1,6,2,4,5,7,3] => 010001 => [1,1,3,1] => 62
[1,6,2,4,7,3,5] => 010010 => [1,1,2,1,1] => 107
[1,6,2,4,7,5,3] => 010011 => [1,1,2,2] => 75
[1,6,2,5,3,4,7] => 010100 => [1,1,1,1,2] => 90
[1,6,2,5,3,7,4] => 010101 => [1,1,1,1,1,1] => 132
[1,6,2,5,4,3,7] => 010110 => [1,1,1,2,1] => 104
[1,6,2,5,4,7,3] => 010101 => [1,1,1,1,1,1] => 132
[1,6,2,5,7,3,4] => 010010 => [1,1,2,1,1] => 107
[1,6,2,5,7,4,3] => 010011 => [1,1,2,2] => 75
[1,6,2,7,3,4,5] => 010100 => [1,1,1,1,2] => 90
[1,6,2,7,3,5,4] => 010101 => [1,1,1,1,1,1] => 132
[1,6,2,7,4,3,5] => 010110 => [1,1,1,2,1] => 104
[1,6,2,7,4,5,3] => 010101 => [1,1,1,1,1,1] => 132
[1,6,2,7,5,3,4] => 010110 => [1,1,1,2,1] => 104
[1,6,2,7,5,4,3] => 010111 => [1,1,1,3] => 48
[1,6,3,2,4,5,7] => 011000 => [1,2,3] => 40
[1,6,3,2,4,7,5] => 011001 => [1,2,2,1] => 84
[1,6,3,2,5,4,7] => 011010 => [1,2,1,1,1] => 104
[1,6,3,2,5,7,4] => 011001 => [1,2,2,1] => 84
[1,6,3,2,7,4,5] => 011010 => [1,2,1,1,1] => 104
[1,6,3,2,7,5,4] => 011011 => [1,2,1,2] => 72
[1,6,3,4,2,5,7] => 010100 => [1,1,1,1,2] => 90
[1,6,3,4,2,7,5] => 010101 => [1,1,1,1,1,1] => 132
[1,6,3,4,5,2,7] => 010010 => [1,1,2,1,1] => 107
[1,6,3,4,5,7,2] => 010001 => [1,1,3,1] => 62
[1,6,3,4,7,2,5] => 010010 => [1,1,2,1,1] => 107
[1,6,3,4,7,5,2] => 010011 => [1,1,2,2] => 75
[1,6,3,5,2,4,7] => 010100 => [1,1,1,1,2] => 90
[1,6,3,5,2,7,4] => 010101 => [1,1,1,1,1,1] => 132
[1,6,3,5,4,2,7] => 010110 => [1,1,1,2,1] => 104
[1,6,3,5,4,7,2] => 010101 => [1,1,1,1,1,1] => 132
[1,6,3,5,7,2,4] => 010010 => [1,1,2,1,1] => 107
[1,6,3,5,7,4,2] => 010011 => [1,1,2,2] => 75
[1,6,3,7,2,4,5] => 010100 => [1,1,1,1,2] => 90
[1,6,3,7,2,5,4] => 010101 => [1,1,1,1,1,1] => 132
[1,6,3,7,4,2,5] => 010110 => [1,1,1,2,1] => 104
[1,6,3,7,4,5,2] => 010101 => [1,1,1,1,1,1] => 132
[1,6,3,7,5,2,4] => 010110 => [1,1,1,2,1] => 104
[1,6,3,7,5,4,2] => 010111 => [1,1,1,3] => 48
[1,6,4,2,3,5,7] => 011000 => [1,2,3] => 40
[1,6,4,2,3,7,5] => 011001 => [1,2,2,1] => 84
[1,6,4,2,5,3,7] => 011010 => [1,2,1,1,1] => 104
[1,6,4,2,5,7,3] => 011001 => [1,2,2,1] => 84
[1,6,4,2,7,3,5] => 011010 => [1,2,1,1,1] => 104
[1,6,4,2,7,5,3] => 011011 => [1,2,1,2] => 72
[1,6,4,3,2,5,7] => 011100 => [1,3,2] => 45
[1,6,4,3,2,7,5] => 011101 => [1,3,1,1] => 62
[1,6,4,3,5,2,7] => 011010 => [1,2,1,1,1] => 104
[1,6,4,3,5,7,2] => 011001 => [1,2,2,1] => 84
[1,6,4,3,7,2,5] => 011010 => [1,2,1,1,1] => 104
[1,6,4,3,7,5,2] => 011011 => [1,2,1,2] => 72
[1,6,4,5,2,3,7] => 010100 => [1,1,1,1,2] => 90
[1,6,4,5,2,7,3] => 010101 => [1,1,1,1,1,1] => 132
[1,6,4,5,3,2,7] => 010110 => [1,1,1,2,1] => 104
[1,6,4,5,3,7,2] => 010101 => [1,1,1,1,1,1] => 132
[1,6,4,5,7,2,3] => 010010 => [1,1,2,1,1] => 107
[1,6,4,5,7,3,2] => 010011 => [1,1,2,2] => 75
[1,6,4,7,2,3,5] => 010100 => [1,1,1,1,2] => 90
[1,6,4,7,2,5,3] => 010101 => [1,1,1,1,1,1] => 132
[1,6,4,7,3,2,5] => 010110 => [1,1,1,2,1] => 104
[1,6,4,7,3,5,2] => 010101 => [1,1,1,1,1,1] => 132
[1,6,4,7,5,2,3] => 010110 => [1,1,1,2,1] => 104
[1,6,4,7,5,3,2] => 010111 => [1,1,1,3] => 48
[1,6,5,2,3,4,7] => 011000 => [1,2,3] => 40
[1,6,5,2,3,7,4] => 011001 => [1,2,2,1] => 84
[1,6,5,2,4,3,7] => 011010 => [1,2,1,1,1] => 104
[1,6,5,2,4,7,3] => 011001 => [1,2,2,1] => 84
[1,6,5,2,7,3,4] => 011010 => [1,2,1,1,1] => 104
[1,6,5,2,7,4,3] => 011011 => [1,2,1,2] => 72
[1,6,5,3,2,4,7] => 011100 => [1,3,2] => 45
[1,6,5,3,2,7,4] => 011101 => [1,3,1,1] => 62
[1,6,5,3,4,2,7] => 011010 => [1,2,1,1,1] => 104
[1,6,5,3,4,7,2] => 011001 => [1,2,2,1] => 84
[1,6,5,3,7,2,4] => 011010 => [1,2,1,1,1] => 104
[1,6,5,3,7,4,2] => 011011 => [1,2,1,2] => 72
[1,6,5,4,2,3,7] => 011100 => [1,3,2] => 45
[1,6,5,4,2,7,3] => 011101 => [1,3,1,1] => 62
[1,6,5,4,3,2,7] => 011110 => [1,4,1] => 26
[1,6,5,4,3,7,2] => 011101 => [1,3,1,1] => 62
[1,6,5,4,7,2,3] => 011010 => [1,2,1,1,1] => 104
[1,6,5,4,7,3,2] => 011011 => [1,2,1,2] => 72
[1,6,5,7,2,3,4] => 010100 => [1,1,1,1,2] => 90
[1,6,5,7,2,4,3] => 010101 => [1,1,1,1,1,1] => 132
[1,6,5,7,3,2,4] => 010110 => [1,1,1,2,1] => 104
[1,6,5,7,3,4,2] => 010101 => [1,1,1,1,1,1] => 132
[1,6,5,7,4,2,3] => 010110 => [1,1,1,2,1] => 104
[1,6,5,7,4,3,2] => 010111 => [1,1,1,3] => 48
[1,6,7,2,3,4,5] => 001000 => [2,1,3] => 34
[1,6,7,2,3,5,4] => 001001 => [2,1,2,1] => 72
[1,6,7,2,4,3,5] => 001010 => [2,1,1,1,1] => 90
[1,6,7,2,4,5,3] => 001001 => [2,1,2,1] => 72
[1,6,7,2,5,3,4] => 001010 => [2,1,1,1,1] => 90
[1,6,7,2,5,4,3] => 001011 => [2,1,1,2] => 62
[1,6,7,3,2,4,5] => 001100 => [2,2,2] => 53
[1,6,7,3,2,5,4] => 001101 => [2,2,1,1] => 75
[1,6,7,3,4,2,5] => 001010 => [2,1,1,1,1] => 90
[1,6,7,3,4,5,2] => 001001 => [2,1,2,1] => 72
[1,6,7,3,5,2,4] => 001010 => [2,1,1,1,1] => 90
[1,6,7,3,5,4,2] => 001011 => [2,1,1,2] => 62
[1,6,7,4,2,3,5] => 001100 => [2,2,2] => 53
[1,6,7,4,2,5,3] => 001101 => [2,2,1,1] => 75
[1,6,7,4,3,2,5] => 001110 => [2,3,1] => 45
[1,6,7,4,3,5,2] => 001101 => [2,2,1,1] => 75
[1,6,7,4,5,2,3] => 001010 => [2,1,1,1,1] => 90
[1,6,7,4,5,3,2] => 001011 => [2,1,1,2] => 62
[1,6,7,5,2,3,4] => 001100 => [2,2,2] => 53
[1,6,7,5,2,4,3] => 001101 => [2,2,1,1] => 75
[1,6,7,5,3,2,4] => 001110 => [2,3,1] => 45
[1,6,7,5,3,4,2] => 001101 => [2,2,1,1] => 75
[1,6,7,5,4,2,3] => 001110 => [2,3,1] => 45
[1,6,7,5,4,3,2] => 001111 => [2,4] => 15
[1,7,2,3,4,5,6] => 010000 => [1,1,4] => 20
[1,7,2,3,4,6,5] => 010001 => [1,1,3,1] => 62
[1,7,2,3,5,4,6] => 010010 => [1,1,2,1,1] => 107
[1,7,2,3,5,6,4] => 010001 => [1,1,3,1] => 62
[1,7,2,3,6,4,5] => 010010 => [1,1,2,1,1] => 107
[1,7,2,3,6,5,4] => 010011 => [1,1,2,2] => 75
[1,7,2,4,3,5,6] => 010100 => [1,1,1,1,2] => 90
[1,7,2,4,3,6,5] => 010101 => [1,1,1,1,1,1] => 132
[1,7,2,4,5,3,6] => 010010 => [1,1,2,1,1] => 107
[1,7,2,4,5,6,3] => 010001 => [1,1,3,1] => 62
[1,7,2,4,6,3,5] => 010010 => [1,1,2,1,1] => 107
[1,7,2,4,6,5,3] => 010011 => [1,1,2,2] => 75
[1,7,2,5,3,4,6] => 010100 => [1,1,1,1,2] => 90
[1,7,2,5,3,6,4] => 010101 => [1,1,1,1,1,1] => 132
[1,7,2,5,4,3,6] => 010110 => [1,1,1,2,1] => 104
[1,7,2,5,4,6,3] => 010101 => [1,1,1,1,1,1] => 132
[1,7,2,5,6,3,4] => 010010 => [1,1,2,1,1] => 107
[1,7,2,5,6,4,3] => 010011 => [1,1,2,2] => 75
[1,7,2,6,3,4,5] => 010100 => [1,1,1,1,2] => 90
[1,7,2,6,3,5,4] => 010101 => [1,1,1,1,1,1] => 132
[1,7,2,6,4,3,5] => 010110 => [1,1,1,2,1] => 104
[1,7,2,6,4,5,3] => 010101 => [1,1,1,1,1,1] => 132
[1,7,2,6,5,3,4] => 010110 => [1,1,1,2,1] => 104
[1,7,2,6,5,4,3] => 010111 => [1,1,1,3] => 48
[1,7,3,2,4,5,6] => 011000 => [1,2,3] => 40
[1,7,3,2,4,6,5] => 011001 => [1,2,2,1] => 84
[1,7,3,2,5,4,6] => 011010 => [1,2,1,1,1] => 104
[1,7,3,2,5,6,4] => 011001 => [1,2,2,1] => 84
[1,7,3,2,6,4,5] => 011010 => [1,2,1,1,1] => 104
[1,7,3,2,6,5,4] => 011011 => [1,2,1,2] => 72
[1,7,3,4,2,5,6] => 010100 => [1,1,1,1,2] => 90
[1,7,3,4,2,6,5] => 010101 => [1,1,1,1,1,1] => 132
[1,7,3,4,5,2,6] => 010010 => [1,1,2,1,1] => 107
[1,7,3,4,5,6,2] => 010001 => [1,1,3,1] => 62
[1,7,3,4,6,2,5] => 010010 => [1,1,2,1,1] => 107
[1,7,3,4,6,5,2] => 010011 => [1,1,2,2] => 75
[1,7,3,5,2,4,6] => 010100 => [1,1,1,1,2] => 90
[1,7,3,5,2,6,4] => 010101 => [1,1,1,1,1,1] => 132
[1,7,3,5,4,2,6] => 010110 => [1,1,1,2,1] => 104
[1,7,3,5,4,6,2] => 010101 => [1,1,1,1,1,1] => 132
[1,7,3,5,6,2,4] => 010010 => [1,1,2,1,1] => 107
[1,7,3,5,6,4,2] => 010011 => [1,1,2,2] => 75
[1,7,3,6,2,4,5] => 010100 => [1,1,1,1,2] => 90
[1,7,3,6,2,5,4] => 010101 => [1,1,1,1,1,1] => 132
[1,7,3,6,4,2,5] => 010110 => [1,1,1,2,1] => 104
[1,7,3,6,4,5,2] => 010101 => [1,1,1,1,1,1] => 132
[1,7,3,6,5,2,4] => 010110 => [1,1,1,2,1] => 104
[1,7,3,6,5,4,2] => 010111 => [1,1,1,3] => 48
[1,7,4,2,3,5,6] => 011000 => [1,2,3] => 40
[1,7,4,2,3,6,5] => 011001 => [1,2,2,1] => 84
[1,7,4,2,5,3,6] => 011010 => [1,2,1,1,1] => 104
[1,7,4,2,5,6,3] => 011001 => [1,2,2,1] => 84
[1,7,4,2,6,3,5] => 011010 => [1,2,1,1,1] => 104
[1,7,4,2,6,5,3] => 011011 => [1,2,1,2] => 72
[1,7,4,3,2,5,6] => 011100 => [1,3,2] => 45
[1,7,4,3,2,6,5] => 011101 => [1,3,1,1] => 62
[1,7,4,3,5,2,6] => 011010 => [1,2,1,1,1] => 104
[1,7,4,3,5,6,2] => 011001 => [1,2,2,1] => 84
[1,7,4,3,6,2,5] => 011010 => [1,2,1,1,1] => 104
[1,7,4,3,6,5,2] => 011011 => [1,2,1,2] => 72
[1,7,4,5,2,3,6] => 010100 => [1,1,1,1,2] => 90
[1,7,4,5,2,6,3] => 010101 => [1,1,1,1,1,1] => 132
[1,7,4,5,3,2,6] => 010110 => [1,1,1,2,1] => 104
[1,7,4,5,3,6,2] => 010101 => [1,1,1,1,1,1] => 132
[1,7,4,5,6,2,3] => 010010 => [1,1,2,1,1] => 107
[1,7,4,5,6,3,2] => 010011 => [1,1,2,2] => 75
[1,7,4,6,2,3,5] => 010100 => [1,1,1,1,2] => 90
[1,7,4,6,2,5,3] => 010101 => [1,1,1,1,1,1] => 132
[1,7,4,6,3,2,5] => 010110 => [1,1,1,2,1] => 104
[1,7,4,6,3,5,2] => 010101 => [1,1,1,1,1,1] => 132
[1,7,4,6,5,2,3] => 010110 => [1,1,1,2,1] => 104
[1,7,4,6,5,3,2] => 010111 => [1,1,1,3] => 48
[1,7,5,2,3,4,6] => 011000 => [1,2,3] => 40
[1,7,5,2,3,6,4] => 011001 => [1,2,2,1] => 84
[1,7,5,2,4,3,6] => 011010 => [1,2,1,1,1] => 104
[1,7,5,2,4,6,3] => 011001 => [1,2,2,1] => 84
[1,7,5,2,6,3,4] => 011010 => [1,2,1,1,1] => 104
[1,7,5,2,6,4,3] => 011011 => [1,2,1,2] => 72
[1,7,5,3,2,4,6] => 011100 => [1,3,2] => 45
[1,7,5,3,2,6,4] => 011101 => [1,3,1,1] => 62
[1,7,5,3,4,2,6] => 011010 => [1,2,1,1,1] => 104
[1,7,5,3,4,6,2] => 011001 => [1,2,2,1] => 84
[1,7,5,3,6,2,4] => 011010 => [1,2,1,1,1] => 104
[1,7,5,3,6,4,2] => 011011 => [1,2,1,2] => 72
[1,7,5,4,2,3,6] => 011100 => [1,3,2] => 45
[1,7,5,4,2,6,3] => 011101 => [1,3,1,1] => 62
[1,7,5,4,3,2,6] => 011110 => [1,4,1] => 26
[1,7,5,4,3,6,2] => 011101 => [1,3,1,1] => 62
[1,7,5,4,6,2,3] => 011010 => [1,2,1,1,1] => 104
[1,7,5,4,6,3,2] => 011011 => [1,2,1,2] => 72
[1,7,5,6,2,3,4] => 010100 => [1,1,1,1,2] => 90
[1,7,5,6,2,4,3] => 010101 => [1,1,1,1,1,1] => 132
[1,7,5,6,3,2,4] => 010110 => [1,1,1,2,1] => 104
[1,7,5,6,3,4,2] => 010101 => [1,1,1,1,1,1] => 132
[1,7,5,6,4,2,3] => 010110 => [1,1,1,2,1] => 104
[1,7,5,6,4,3,2] => 010111 => [1,1,1,3] => 48
[1,7,6,2,3,4,5] => 011000 => [1,2,3] => 40
[1,7,6,2,3,5,4] => 011001 => [1,2,2,1] => 84
[1,7,6,2,4,3,5] => 011010 => [1,2,1,1,1] => 104
[1,7,6,2,4,5,3] => 011001 => [1,2,2,1] => 84
[1,7,6,2,5,3,4] => 011010 => [1,2,1,1,1] => 104
[1,7,6,2,5,4,3] => 011011 => [1,2,1,2] => 72
[1,7,6,3,2,4,5] => 011100 => [1,3,2] => 45
[1,7,6,3,2,5,4] => 011101 => [1,3,1,1] => 62
[1,7,6,3,4,2,5] => 011010 => [1,2,1,1,1] => 104
[1,7,6,3,4,5,2] => 011001 => [1,2,2,1] => 84
[1,7,6,3,5,2,4] => 011010 => [1,2,1,1,1] => 104
[1,7,6,3,5,4,2] => 011011 => [1,2,1,2] => 72
[1,7,6,4,2,3,5] => 011100 => [1,3,2] => 45
[1,7,6,4,2,5,3] => 011101 => [1,3,1,1] => 62
[1,7,6,4,3,2,5] => 011110 => [1,4,1] => 26
[1,7,6,4,3,5,2] => 011101 => [1,3,1,1] => 62
[1,7,6,4,5,2,3] => 011010 => [1,2,1,1,1] => 104
[1,7,6,4,5,3,2] => 011011 => [1,2,1,2] => 72
[1,7,6,5,2,3,4] => 011100 => [1,3,2] => 45
[1,7,6,5,2,4,3] => 011101 => [1,3,1,1] => 62
[1,7,6,5,3,2,4] => 011110 => [1,4,1] => 26
[1,7,6,5,3,4,2] => 011101 => [1,3,1,1] => 62
[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] => 62
[2,1,3,4,6,7,5] => 100001 => [1,4,1] => 26
[2,1,3,4,7,5,6] => 100010 => [1,3,1,1] => 62
[2,1,3,4,7,6,5] => 100011 => [1,3,2] => 45
[2,1,3,5,4,6,7] => 100100 => [1,2,1,2] => 72
[2,1,3,5,4,7,6] => 100101 => [1,2,1,1,1] => 104
[2,1,3,5,6,4,7] => 100010 => [1,3,1,1] => 62
[2,1,3,5,6,7,4] => 100001 => [1,4,1] => 26
[2,1,3,5,7,4,6] => 100010 => [1,3,1,1] => 62
[2,1,3,5,7,6,4] => 100011 => [1,3,2] => 45
[2,1,3,6,4,5,7] => 100100 => [1,2,1,2] => 72
[2,1,3,6,4,7,5] => 100101 => [1,2,1,1,1] => 104
[2,1,3,6,5,4,7] => 100110 => [1,2,2,1] => 84
[2,1,3,6,5,7,4] => 100101 => [1,2,1,1,1] => 104
[2,1,3,6,7,4,5] => 100010 => [1,3,1,1] => 62
[2,1,3,6,7,5,4] => 100011 => [1,3,2] => 45
[2,1,3,7,4,5,6] => 100100 => [1,2,1,2] => 72
[2,1,3,7,4,6,5] => 100101 => [1,2,1,1,1] => 104
[2,1,3,7,5,4,6] => 100110 => [1,2,2,1] => 84
[2,1,3,7,5,6,4] => 100101 => [1,2,1,1,1] => 104
[2,1,3,7,6,4,5] => 100110 => [1,2,2,1] => 84
[2,1,3,7,6,5,4] => 100111 => [1,2,3] => 40
[2,1,4,3,5,6,7] => 101000 => [1,1,1,3] => 48
[2,1,4,3,5,7,6] => 101001 => [1,1,1,2,1] => 104
[2,1,4,3,6,5,7] => 101010 => [1,1,1,1,1,1] => 132
[2,1,4,3,6,7,5] => 101001 => [1,1,1,2,1] => 104
[2,1,4,3,7,5,6] => 101010 => [1,1,1,1,1,1] => 132
[2,1,4,3,7,6,5] => 101011 => [1,1,1,1,2] => 90
[2,1,4,5,3,6,7] => 100100 => [1,2,1,2] => 72
[2,1,4,5,3,7,6] => 100101 => [1,2,1,1,1] => 104
[2,1,4,5,6,3,7] => 100010 => [1,3,1,1] => 62
[2,1,4,5,6,7,3] => 100001 => [1,4,1] => 26
[2,1,4,5,7,3,6] => 100010 => [1,3,1,1] => 62
[2,1,4,5,7,6,3] => 100011 => [1,3,2] => 45
[2,1,4,6,3,5,7] => 100100 => [1,2,1,2] => 72
[2,1,4,6,3,7,5] => 100101 => [1,2,1,1,1] => 104
[2,1,4,6,5,3,7] => 100110 => [1,2,2,1] => 84
[2,1,4,6,5,7,3] => 100101 => [1,2,1,1,1] => 104
[2,1,4,6,7,3,5] => 100010 => [1,3,1,1] => 62
[2,1,4,6,7,5,3] => 100011 => [1,3,2] => 45
[2,1,4,7,3,5,6] => 100100 => [1,2,1,2] => 72
[2,1,4,7,3,6,5] => 100101 => [1,2,1,1,1] => 104
[2,1,4,7,5,3,6] => 100110 => [1,2,2,1] => 84
[2,1,4,7,5,6,3] => 100101 => [1,2,1,1,1] => 104
[2,1,4,7,6,3,5] => 100110 => [1,2,2,1] => 84
[2,1,4,7,6,5,3] => 100111 => [1,2,3] => 40
[2,1,5,3,4,6,7] => 101000 => [1,1,1,3] => 48
[2,1,5,3,4,7,6] => 101001 => [1,1,1,2,1] => 104
[2,1,5,3,6,4,7] => 101010 => [1,1,1,1,1,1] => 132
[2,1,5,3,6,7,4] => 101001 => [1,1,1,2,1] => 104
[2,1,5,3,7,4,6] => 101010 => [1,1,1,1,1,1] => 132
[2,1,5,3,7,6,4] => 101011 => [1,1,1,1,2] => 90
[2,1,5,4,3,6,7] => 101100 => [1,1,2,2] => 75
[2,1,5,4,3,7,6] => 101101 => [1,1,2,1,1] => 107
[2,1,5,4,6,3,7] => 101010 => [1,1,1,1,1,1] => 132
[2,1,5,4,6,7,3] => 101001 => [1,1,1,2,1] => 104
[2,1,5,4,7,3,6] => 101010 => [1,1,1,1,1,1] => 132
[2,1,5,4,7,6,3] => 101011 => [1,1,1,1,2] => 90
[2,1,5,6,3,4,7] => 100100 => [1,2,1,2] => 72
[2,1,5,6,3,7,4] => 100101 => [1,2,1,1,1] => 104
[2,1,5,6,4,3,7] => 100110 => [1,2,2,1] => 84
[2,1,5,6,4,7,3] => 100101 => [1,2,1,1,1] => 104
[2,1,5,6,7,3,4] => 100010 => [1,3,1,1] => 62
[2,1,5,6,7,4,3] => 100011 => [1,3,2] => 45
[2,1,5,7,3,4,6] => 100100 => [1,2,1,2] => 72
[2,1,5,7,3,6,4] => 100101 => [1,2,1,1,1] => 104
[2,1,5,7,4,3,6] => 100110 => [1,2,2,1] => 84
[2,1,5,7,4,6,3] => 100101 => [1,2,1,1,1] => 104
[2,1,5,7,6,3,4] => 100110 => [1,2,2,1] => 84
[2,1,5,7,6,4,3] => 100111 => [1,2,3] => 40
[2,1,6,3,4,5,7] => 101000 => [1,1,1,3] => 48
[2,1,6,3,4,7,5] => 101001 => [1,1,1,2,1] => 104
[2,1,6,3,5,4,7] => 101010 => [1,1,1,1,1,1] => 132
[2,1,6,3,5,7,4] => 101001 => [1,1,1,2,1] => 104
[2,1,6,3,7,4,5] => 101010 => [1,1,1,1,1,1] => 132
[2,1,6,3,7,5,4] => 101011 => [1,1,1,1,2] => 90
[2,1,6,4,3,5,7] => 101100 => [1,1,2,2] => 75
[2,1,6,4,3,7,5] => 101101 => [1,1,2,1,1] => 107
[2,1,6,4,5,3,7] => 101010 => [1,1,1,1,1,1] => 132
[2,1,6,4,5,7,3] => 101001 => [1,1,1,2,1] => 104
[2,1,6,4,7,3,5] => 101010 => [1,1,1,1,1,1] => 132
[2,1,6,4,7,5,3] => 101011 => [1,1,1,1,2] => 90
[2,1,6,5,3,4,7] => 101100 => [1,1,2,2] => 75
[2,1,6,5,3,7,4] => 101101 => [1,1,2,1,1] => 107
[2,1,6,5,4,3,7] => 101110 => [1,1,3,1] => 62
[2,1,6,5,4,7,3] => 101101 => [1,1,2,1,1] => 107
[2,1,6,5,7,3,4] => 101010 => [1,1,1,1,1,1] => 132
[2,1,6,5,7,4,3] => 101011 => [1,1,1,1,2] => 90
[2,1,6,7,3,4,5] => 100100 => [1,2,1,2] => 72
[2,1,6,7,3,5,4] => 100101 => [1,2,1,1,1] => 104
[2,1,6,7,4,3,5] => 100110 => [1,2,2,1] => 84
[2,1,6,7,4,5,3] => 100101 => [1,2,1,1,1] => 104
[2,1,6,7,5,3,4] => 100110 => [1,2,2,1] => 84
[2,1,6,7,5,4,3] => 100111 => [1,2,3] => 40
[2,1,7,3,4,5,6] => 101000 => [1,1,1,3] => 48
[2,1,7,3,4,6,5] => 101001 => [1,1,1,2,1] => 104
[2,1,7,3,5,4,6] => 101010 => [1,1,1,1,1,1] => 132
[2,1,7,3,5,6,4] => 101001 => [1,1,1,2,1] => 104
[2,1,7,3,6,4,5] => 101010 => [1,1,1,1,1,1] => 132
[2,1,7,3,6,5,4] => 101011 => [1,1,1,1,2] => 90
[2,1,7,4,3,5,6] => 101100 => [1,1,2,2] => 75
[2,1,7,4,3,6,5] => 101101 => [1,1,2,1,1] => 107
[2,1,7,4,5,3,6] => 101010 => [1,1,1,1,1,1] => 132
[2,1,7,4,5,6,3] => 101001 => [1,1,1,2,1] => 104
[2,1,7,4,6,3,5] => 101010 => [1,1,1,1,1,1] => 132
[2,1,7,4,6,5,3] => 101011 => [1,1,1,1,2] => 90
[2,1,7,5,3,4,6] => 101100 => [1,1,2,2] => 75
[2,1,7,5,3,6,4] => 101101 => [1,1,2,1,1] => 107
[2,1,7,5,4,3,6] => 101110 => [1,1,3,1] => 62
[2,1,7,5,4,6,3] => 101101 => [1,1,2,1,1] => 107
[2,1,7,5,6,3,4] => 101010 => [1,1,1,1,1,1] => 132
[2,1,7,5,6,4,3] => 101011 => [1,1,1,1,2] => 90
[2,1,7,6,3,4,5] => 101100 => [1,1,2,2] => 75
[2,1,7,6,3,5,4] => 101101 => [1,1,2,1,1] => 107
[2,1,7,6,4,3,5] => 101110 => [1,1,3,1] => 62
[2,1,7,6,4,5,3] => 101101 => [1,1,2,1,1] => 107
[2,1,7,6,5,3,4] => 101110 => [1,1,3,1] => 62
[2,1,7,6,5,4,3] => 101111 => [1,1,4] => 20
[2,3,1,4,5,6,7] => 010000 => [1,1,4] => 20
[2,3,1,4,5,7,6] => 010001 => [1,1,3,1] => 62
[2,3,1,4,6,5,7] => 010010 => [1,1,2,1,1] => 107
[2,3,1,4,6,7,5] => 010001 => [1,1,3,1] => 62
[2,3,1,4,7,5,6] => 010010 => [1,1,2,1,1] => 107
[2,3,1,4,7,6,5] => 010011 => [1,1,2,2] => 75
[2,3,1,5,4,6,7] => 010100 => [1,1,1,1,2] => 90
[2,3,1,5,4,7,6] => 010101 => [1,1,1,1,1,1] => 132
[2,3,1,5,6,4,7] => 010010 => [1,1,2,1,1] => 107
[2,3,1,5,6,7,4] => 010001 => [1,1,3,1] => 62
[2,3,1,5,7,4,6] => 010010 => [1,1,2,1,1] => 107
[2,3,1,5,7,6,4] => 010011 => [1,1,2,2] => 75
[2,3,1,6,4,5,7] => 010100 => [1,1,1,1,2] => 90
[2,3,1,6,4,7,5] => 010101 => [1,1,1,1,1,1] => 132
[2,3,1,6,5,4,7] => 010110 => [1,1,1,2,1] => 104
[2,3,1,6,5,7,4] => 010101 => [1,1,1,1,1,1] => 132
[2,3,1,6,7,4,5] => 010010 => [1,1,2,1,1] => 107
[2,3,1,6,7,5,4] => 010011 => [1,1,2,2] => 75
[2,3,1,7,4,5,6] => 010100 => [1,1,1,1,2] => 90
[2,3,1,7,4,6,5] => 010101 => [1,1,1,1,1,1] => 132
[2,3,1,7,5,4,6] => 010110 => [1,1,1,2,1] => 104
[2,3,1,7,5,6,4] => 010101 => [1,1,1,1,1,1] => 132
[2,3,1,7,6,4,5] => 010110 => [1,1,1,2,1] => 104
[2,3,1,7,6,5,4] => 010111 => [1,1,1,3] => 48
[2,3,4,1,5,6,7] => 001000 => [2,1,3] => 34
[2,3,4,1,5,7,6] => 001001 => [2,1,2,1] => 72
[2,3,4,1,6,5,7] => 001010 => [2,1,1,1,1] => 90
[2,3,4,1,6,7,5] => 001001 => [2,1,2,1] => 72
[2,3,4,1,7,5,6] => 001010 => [2,1,1,1,1] => 90
[2,3,4,1,7,6,5] => 001011 => [2,1,1,2] => 62
[2,3,4,5,1,6,7] => 000100 => [3,1,2] => 34
[2,3,4,5,1,7,6] => 000101 => [3,1,1,1] => 48
[2,3,4,5,6,1,7] => 000010 => [4,1,1] => 20
[2,3,4,5,6,7,1] => 000001 => [5,1] => 6
[2,3,4,5,7,1,6] => 000010 => [4,1,1] => 20
[2,3,4,5,7,6,1] => 000011 => [4,2] => 15
[2,3,4,6,1,5,7] => 000100 => [3,1,2] => 34
[2,3,4,6,1,7,5] => 000101 => [3,1,1,1] => 48
[2,3,4,6,5,1,7] => 000110 => [3,2,1] => 40
[2,3,4,6,5,7,1] => 000101 => [3,1,1,1] => 48
[2,3,4,6,7,1,5] => 000010 => [4,1,1] => 20
[2,3,4,6,7,5,1] => 000011 => [4,2] => 15
[2,3,4,7,1,5,6] => 000100 => [3,1,2] => 34
[2,3,4,7,1,6,5] => 000101 => [3,1,1,1] => 48
[2,3,4,7,5,1,6] => 000110 => [3,2,1] => 40
[2,3,4,7,5,6,1] => 000101 => [3,1,1,1] => 48
[2,3,4,7,6,1,5] => 000110 => [3,2,1] => 40
[2,3,4,7,6,5,1] => 000111 => [3,3] => 20
[2,3,5,1,4,6,7] => 001000 => [2,1,3] => 34
[2,3,5,1,4,7,6] => 001001 => [2,1,2,1] => 72
[2,3,5,1,6,4,7] => 001010 => [2,1,1,1,1] => 90
[2,3,5,1,6,7,4] => 001001 => [2,1,2,1] => 72
[2,3,5,1,7,4,6] => 001010 => [2,1,1,1,1] => 90
[2,3,5,1,7,6,4] => 001011 => [2,1,1,2] => 62
[2,3,5,4,1,6,7] => 001100 => [2,2,2] => 53
[2,3,5,4,1,7,6] => 001101 => [2,2,1,1] => 75
[2,3,5,4,6,1,7] => 001010 => [2,1,1,1,1] => 90
[2,3,5,4,6,7,1] => 001001 => [2,1,2,1] => 72
[2,3,5,4,7,1,6] => 001010 => [2,1,1,1,1] => 90
[2,3,5,4,7,6,1] => 001011 => [2,1,1,2] => 62
[2,3,5,6,1,4,7] => 000100 => [3,1,2] => 34
[2,3,5,6,1,7,4] => 000101 => [3,1,1,1] => 48
[2,3,5,6,4,1,7] => 000110 => [3,2,1] => 40
[2,3,5,6,4,7,1] => 000101 => [3,1,1,1] => 48
[2,3,5,6,7,1,4] => 000010 => [4,1,1] => 20
[2,3,5,6,7,4,1] => 000011 => [4,2] => 15
[2,3,5,7,1,4,6] => 000100 => [3,1,2] => 34
[2,3,5,7,1,6,4] => 000101 => [3,1,1,1] => 48
[2,3,5,7,4,1,6] => 000110 => [3,2,1] => 40
[2,3,5,7,4,6,1] => 000101 => [3,1,1,1] => 48
[2,3,5,7,6,1,4] => 000110 => [3,2,1] => 40
[2,3,5,7,6,4,1] => 000111 => [3,3] => 20
[2,3,6,1,4,5,7] => 001000 => [2,1,3] => 34
[2,3,6,1,4,7,5] => 001001 => [2,1,2,1] => 72
[2,3,6,1,5,4,7] => 001010 => [2,1,1,1,1] => 90
[2,3,6,1,5,7,4] => 001001 => [2,1,2,1] => 72
[2,3,6,1,7,4,5] => 001010 => [2,1,1,1,1] => 90
[2,3,6,1,7,5,4] => 001011 => [2,1,1,2] => 62
[2,3,6,4,1,5,7] => 001100 => [2,2,2] => 53
[2,3,6,4,1,7,5] => 001101 => [2,2,1,1] => 75
[2,3,6,4,5,1,7] => 001010 => [2,1,1,1,1] => 90
[2,3,6,4,5,7,1] => 001001 => [2,1,2,1] => 72
[2,3,6,4,7,1,5] => 001010 => [2,1,1,1,1] => 90
[2,3,6,4,7,5,1] => 001011 => [2,1,1,2] => 62
[2,3,6,5,1,4,7] => 001100 => [2,2,2] => 53
[2,3,6,5,1,7,4] => 001101 => [2,2,1,1] => 75
[2,3,6,5,4,1,7] => 001110 => [2,3,1] => 45
[2,3,6,5,4,7,1] => 001101 => [2,2,1,1] => 75
[2,3,6,5,7,1,4] => 001010 => [2,1,1,1,1] => 90
[2,3,6,5,7,4,1] => 001011 => [2,1,1,2] => 62
[2,3,6,7,1,4,5] => 000100 => [3,1,2] => 34
[2,3,6,7,1,5,4] => 000101 => [3,1,1,1] => 48
[2,3,6,7,4,1,5] => 000110 => [3,2,1] => 40
[2,3,6,7,4,5,1] => 000101 => [3,1,1,1] => 48
[2,3,6,7,5,1,4] => 000110 => [3,2,1] => 40
[2,3,6,7,5,4,1] => 000111 => [3,3] => 20
[2,3,7,1,4,5,6] => 001000 => [2,1,3] => 34
[2,3,7,1,4,6,5] => 001001 => [2,1,2,1] => 72
[2,3,7,1,5,4,6] => 001010 => [2,1,1,1,1] => 90
[2,3,7,1,5,6,4] => 001001 => [2,1,2,1] => 72
[2,3,7,1,6,4,5] => 001010 => [2,1,1,1,1] => 90
[2,3,7,1,6,5,4] => 001011 => [2,1,1,2] => 62
[2,3,7,4,1,5,6] => 001100 => [2,2,2] => 53
[2,3,7,4,1,6,5] => 001101 => [2,2,1,1] => 75
[2,3,7,4,5,1,6] => 001010 => [2,1,1,1,1] => 90
[2,3,7,4,5,6,1] => 001001 => [2,1,2,1] => 72
[2,3,7,4,6,1,5] => 001010 => [2,1,1,1,1] => 90
[2,3,7,4,6,5,1] => 001011 => [2,1,1,2] => 62
[2,3,7,5,1,4,6] => 001100 => [2,2,2] => 53
[2,3,7,5,1,6,4] => 001101 => [2,2,1,1] => 75
[2,3,7,5,4,1,6] => 001110 => [2,3,1] => 45
[2,3,7,5,4,6,1] => 001101 => [2,2,1,1] => 75
[2,3,7,5,6,1,4] => 001010 => [2,1,1,1,1] => 90
[2,3,7,5,6,4,1] => 001011 => [2,1,1,2] => 62
[2,3,7,6,1,4,5] => 001100 => [2,2,2] => 53
[2,3,7,6,1,5,4] => 001101 => [2,2,1,1] => 75
[2,3,7,6,4,1,5] => 001110 => [2,3,1] => 45
[2,3,7,6,4,5,1] => 001101 => [2,2,1,1] => 75
[2,3,7,6,5,1,4] => 001110 => [2,3,1] => 45
[2,3,7,6,5,4,1] => 001111 => [2,4] => 15
[2,4,1,3,5,6,7] => 010000 => [1,1,4] => 20
[2,4,1,3,5,7,6] => 010001 => [1,1,3,1] => 62
[2,4,1,3,6,5,7] => 010010 => [1,1,2,1,1] => 107
[2,4,1,3,6,7,5] => 010001 => [1,1,3,1] => 62
[2,4,1,3,7,5,6] => 010010 => [1,1,2,1,1] => 107
[2,4,1,3,7,6,5] => 010011 => [1,1,2,2] => 75
[2,4,1,5,3,6,7] => 010100 => [1,1,1,1,2] => 90
[2,4,1,5,3,7,6] => 010101 => [1,1,1,1,1,1] => 132
[2,4,1,5,6,3,7] => 010010 => [1,1,2,1,1] => 107
[2,4,1,5,6,7,3] => 010001 => [1,1,3,1] => 62
[2,4,1,5,7,3,6] => 010010 => [1,1,2,1,1] => 107
[2,4,1,5,7,6,3] => 010011 => [1,1,2,2] => 75
[2,4,1,6,3,5,7] => 010100 => [1,1,1,1,2] => 90
[2,4,1,6,3,7,5] => 010101 => [1,1,1,1,1,1] => 132
[2,4,1,6,5,3,7] => 010110 => [1,1,1,2,1] => 104
[2,4,1,6,5,7,3] => 010101 => [1,1,1,1,1,1] => 132
[2,4,1,6,7,3,5] => 010010 => [1,1,2,1,1] => 107
[2,4,1,6,7,5,3] => 010011 => [1,1,2,2] => 75
[2,4,1,7,3,5,6] => 010100 => [1,1,1,1,2] => 90
[2,4,1,7,3,6,5] => 010101 => [1,1,1,1,1,1] => 132
[2,4,1,7,5,3,6] => 010110 => [1,1,1,2,1] => 104
[2,4,1,7,5,6,3] => 010101 => [1,1,1,1,1,1] => 132
[2,4,1,7,6,3,5] => 010110 => [1,1,1,2,1] => 104
[2,4,1,7,6,5,3] => 010111 => [1,1,1,3] => 48
[2,4,3,1,5,6,7] => 011000 => [1,2,3] => 40
[2,4,3,1,5,7,6] => 011001 => [1,2,2,1] => 84
[2,4,3,1,6,5,7] => 011010 => [1,2,1,1,1] => 104
[2,4,3,1,6,7,5] => 011001 => [1,2,2,1] => 84
[2,4,3,1,7,5,6] => 011010 => [1,2,1,1,1] => 104
[2,4,3,1,7,6,5] => 011011 => [1,2,1,2] => 72
[2,4,3,5,1,6,7] => 010100 => [1,1,1,1,2] => 90
[2,4,3,5,1,7,6] => 010101 => [1,1,1,1,1,1] => 132
[2,4,3,5,6,1,7] => 010010 => [1,1,2,1,1] => 107
[2,4,3,5,6,7,1] => 010001 => [1,1,3,1] => 62
[2,4,3,5,7,1,6] => 010010 => [1,1,2,1,1] => 107
[2,4,3,5,7,6,1] => 010011 => [1,1,2,2] => 75
[2,4,3,6,1,5,7] => 010100 => [1,1,1,1,2] => 90
[2,4,3,6,1,7,5] => 010101 => [1,1,1,1,1,1] => 132
[2,4,3,6,5,1,7] => 010110 => [1,1,1,2,1] => 104
[2,4,3,6,5,7,1] => 010101 => [1,1,1,1,1,1] => 132
[2,4,3,6,7,1,5] => 010010 => [1,1,2,1,1] => 107
[2,4,3,6,7,5,1] => 010011 => [1,1,2,2] => 75
[2,4,3,7,1,5,6] => 010100 => [1,1,1,1,2] => 90
[2,4,3,7,1,6,5] => 010101 => [1,1,1,1,1,1] => 132
[2,4,3,7,5,1,6] => 010110 => [1,1,1,2,1] => 104
[2,4,3,7,5,6,1] => 010101 => [1,1,1,1,1,1] => 132
[2,4,3,7,6,1,5] => 010110 => [1,1,1,2,1] => 104
[2,4,3,7,6,5,1] => 010111 => [1,1,1,3] => 48
[2,4,5,1,3,6,7] => 001000 => [2,1,3] => 34
[2,4,5,1,3,7,6] => 001001 => [2,1,2,1] => 72
[2,4,5,1,6,3,7] => 001010 => [2,1,1,1,1] => 90
[2,4,5,1,6,7,3] => 001001 => [2,1,2,1] => 72
[2,4,5,1,7,3,6] => 001010 => [2,1,1,1,1] => 90
[2,4,5,1,7,6,3] => 001011 => [2,1,1,2] => 62
[2,4,5,3,1,6,7] => 001100 => [2,2,2] => 53
[2,4,5,3,1,7,6] => 001101 => [2,2,1,1] => 75
[2,4,5,3,6,1,7] => 001010 => [2,1,1,1,1] => 90
[2,4,5,3,6,7,1] => 001001 => [2,1,2,1] => 72
[2,4,5,3,7,1,6] => 001010 => [2,1,1,1,1] => 90
[2,4,5,3,7,6,1] => 001011 => [2,1,1,2] => 62
[2,4,5,6,1,3,7] => 000100 => [3,1,2] => 34
[2,4,5,6,1,7,3] => 000101 => [3,1,1,1] => 48
[2,4,5,6,3,1,7] => 000110 => [3,2,1] => 40
[2,4,5,6,3,7,1] => 000101 => [3,1,1,1] => 48
[2,4,5,6,7,1,3] => 000010 => [4,1,1] => 20
[2,4,5,6,7,3,1] => 000011 => [4,2] => 15
[2,4,5,7,1,3,6] => 000100 => [3,1,2] => 34
[2,4,5,7,1,6,3] => 000101 => [3,1,1,1] => 48
[2,4,5,7,3,1,6] => 000110 => [3,2,1] => 40
[2,4,5,7,3,6,1] => 000101 => [3,1,1,1] => 48
[2,4,5,7,6,1,3] => 000110 => [3,2,1] => 40
[2,4,5,7,6,3,1] => 000111 => [3,3] => 20
[2,4,6,1,3,5,7] => 001000 => [2,1,3] => 34
[2,4,6,1,3,7,5] => 001001 => [2,1,2,1] => 72
[2,4,6,1,5,3,7] => 001010 => [2,1,1,1,1] => 90
[2,4,6,1,5,7,3] => 001001 => [2,1,2,1] => 72
[2,4,6,1,7,3,5] => 001010 => [2,1,1,1,1] => 90
[2,4,6,1,7,5,3] => 001011 => [2,1,1,2] => 62
[2,4,6,3,1,5,7] => 001100 => [2,2,2] => 53
[2,4,6,3,1,7,5] => 001101 => [2,2,1,1] => 75
[2,4,6,3,5,1,7] => 001010 => [2,1,1,1,1] => 90
[2,4,6,3,5,7,1] => 001001 => [2,1,2,1] => 72
[2,4,6,3,7,1,5] => 001010 => [2,1,1,1,1] => 90
[2,4,6,3,7,5,1] => 001011 => [2,1,1,2] => 62
[2,4,6,5,1,3,7] => 001100 => [2,2,2] => 53
[2,4,6,5,1,7,3] => 001101 => [2,2,1,1] => 75
[2,4,6,5,3,1,7] => 001110 => [2,3,1] => 45
[2,4,6,5,3,7,1] => 001101 => [2,2,1,1] => 75
[2,4,6,5,7,1,3] => 001010 => [2,1,1,1,1] => 90
[2,4,6,5,7,3,1] => 001011 => [2,1,1,2] => 62
[2,4,6,7,1,3,5] => 000100 => [3,1,2] => 34
[2,4,6,7,1,5,3] => 000101 => [3,1,1,1] => 48
[2,4,6,7,3,1,5] => 000110 => [3,2,1] => 40
[2,4,6,7,3,5,1] => 000101 => [3,1,1,1] => 48
[2,4,6,7,5,1,3] => 000110 => [3,2,1] => 40
[2,4,6,7,5,3,1] => 000111 => [3,3] => 20
[2,4,7,1,3,5,6] => 001000 => [2,1,3] => 34
[2,4,7,1,3,6,5] => 001001 => [2,1,2,1] => 72
[2,4,7,1,5,3,6] => 001010 => [2,1,1,1,1] => 90
[2,4,7,1,5,6,3] => 001001 => [2,1,2,1] => 72
[2,4,7,1,6,3,5] => 001010 => [2,1,1,1,1] => 90
[2,4,7,1,6,5,3] => 001011 => [2,1,1,2] => 62
[2,4,7,3,1,5,6] => 001100 => [2,2,2] => 53
[2,4,7,3,1,6,5] => 001101 => [2,2,1,1] => 75
[2,4,7,3,5,1,6] => 001010 => [2,1,1,1,1] => 90
[2,4,7,3,5,6,1] => 001001 => [2,1,2,1] => 72
[2,4,7,3,6,1,5] => 001010 => [2,1,1,1,1] => 90
[2,4,7,3,6,5,1] => 001011 => [2,1,1,2] => 62
[2,4,7,5,1,3,6] => 001100 => [2,2,2] => 53
[2,4,7,5,1,6,3] => 001101 => [2,2,1,1] => 75
[2,4,7,5,3,1,6] => 001110 => [2,3,1] => 45
[2,4,7,5,3,6,1] => 001101 => [2,2,1,1] => 75
[2,4,7,5,6,1,3] => 001010 => [2,1,1,1,1] => 90
[2,4,7,5,6,3,1] => 001011 => [2,1,1,2] => 62
[2,4,7,6,1,3,5] => 001100 => [2,2,2] => 53
[2,4,7,6,1,5,3] => 001101 => [2,2,1,1] => 75
[2,4,7,6,3,1,5] => 001110 => [2,3,1] => 45
[2,4,7,6,3,5,1] => 001101 => [2,2,1,1] => 75
[2,4,7,6,5,1,3] => 001110 => [2,3,1] => 45
[2,4,7,6,5,3,1] => 001111 => [2,4] => 15
[2,5,1,3,4,6,7] => 010000 => [1,1,4] => 20
[2,5,1,3,4,7,6] => 010001 => [1,1,3,1] => 62
[2,5,1,3,6,4,7] => 010010 => [1,1,2,1,1] => 107
[2,5,1,3,6,7,4] => 010001 => [1,1,3,1] => 62
[2,5,1,3,7,4,6] => 010010 => [1,1,2,1,1] => 107
[2,5,1,3,7,6,4] => 010011 => [1,1,2,2] => 75
[2,5,1,4,3,6,7] => 010100 => [1,1,1,1,2] => 90
[2,5,1,4,3,7,6] => 010101 => [1,1,1,1,1,1] => 132
[2,5,1,4,6,3,7] => 010010 => [1,1,2,1,1] => 107
[2,5,1,4,6,7,3] => 010001 => [1,1,3,1] => 62
[2,5,1,4,7,3,6] => 010010 => [1,1,2,1,1] => 107
[2,5,1,4,7,6,3] => 010011 => [1,1,2,2] => 75
[2,5,1,6,3,4,7] => 010100 => [1,1,1,1,2] => 90
[2,5,1,6,3,7,4] => 010101 => [1,1,1,1,1,1] => 132
[2,5,1,6,4,3,7] => 010110 => [1,1,1,2,1] => 104
[2,5,1,6,4,7,3] => 010101 => [1,1,1,1,1,1] => 132
[2,5,1,6,7,3,4] => 010010 => [1,1,2,1,1] => 107
[2,5,1,6,7,4,3] => 010011 => [1,1,2,2] => 75
[2,5,1,7,3,4,6] => 010100 => [1,1,1,1,2] => 90
[2,5,1,7,3,6,4] => 010101 => [1,1,1,1,1,1] => 132
[2,5,1,7,4,3,6] => 010110 => [1,1,1,2,1] => 104
[2,5,1,7,4,6,3] => 010101 => [1,1,1,1,1,1] => 132
[2,5,1,7,6,3,4] => 010110 => [1,1,1,2,1] => 104
[2,5,1,7,6,4,3] => 010111 => [1,1,1,3] => 48
[2,5,3,1,4,6,7] => 011000 => [1,2,3] => 40
[2,5,3,1,4,7,6] => 011001 => [1,2,2,1] => 84
[2,5,3,1,6,4,7] => 011010 => [1,2,1,1,1] => 104
[2,5,3,1,6,7,4] => 011001 => [1,2,2,1] => 84
[2,5,3,1,7,4,6] => 011010 => [1,2,1,1,1] => 104
[2,5,3,1,7,6,4] => 011011 => [1,2,1,2] => 72
[2,5,3,4,1,6,7] => 010100 => [1,1,1,1,2] => 90
[2,5,3,4,1,7,6] => 010101 => [1,1,1,1,1,1] => 132
[2,5,3,4,6,1,7] => 010010 => [1,1,2,1,1] => 107
[2,5,3,4,6,7,1] => 010001 => [1,1,3,1] => 62
[2,5,3,4,7,1,6] => 010010 => [1,1,2,1,1] => 107
[2,5,3,4,7,6,1] => 010011 => [1,1,2,2] => 75
[2,5,3,6,1,4,7] => 010100 => [1,1,1,1,2] => 90
[2,5,3,6,1,7,4] => 010101 => [1,1,1,1,1,1] => 132
[2,5,3,6,4,1,7] => 010110 => [1,1,1,2,1] => 104
[2,5,3,6,4,7,1] => 010101 => [1,1,1,1,1,1] => 132
[2,5,3,6,7,1,4] => 010010 => [1,1,2,1,1] => 107
[2,5,3,6,7,4,1] => 010011 => [1,1,2,2] => 75
[2,5,3,7,1,4,6] => 010100 => [1,1,1,1,2] => 90
[2,5,3,7,1,6,4] => 010101 => [1,1,1,1,1,1] => 132
[2,5,3,7,4,1,6] => 010110 => [1,1,1,2,1] => 104
[2,5,3,7,4,6,1] => 010101 => [1,1,1,1,1,1] => 132
[2,5,3,7,6,1,4] => 010110 => [1,1,1,2,1] => 104
[2,5,3,7,6,4,1] => 010111 => [1,1,1,3] => 48
[2,5,4,1,3,6,7] => 011000 => [1,2,3] => 40
[2,5,4,1,3,7,6] => 011001 => [1,2,2,1] => 84
[2,5,4,1,6,3,7] => 011010 => [1,2,1,1,1] => 104
[2,5,4,1,6,7,3] => 011001 => [1,2,2,1] => 84
[2,5,4,1,7,3,6] => 011010 => [1,2,1,1,1] => 104
[2,5,4,1,7,6,3] => 011011 => [1,2,1,2] => 72
[2,5,4,3,1,6,7] => 011100 => [1,3,2] => 45
[2,5,4,3,1,7,6] => 011101 => [1,3,1,1] => 62
[2,5,4,3,6,1,7] => 011010 => [1,2,1,1,1] => 104
[2,5,4,3,6,7,1] => 011001 => [1,2,2,1] => 84
[2,5,4,3,7,1,6] => 011010 => [1,2,1,1,1] => 104
[2,5,4,3,7,6,1] => 011011 => [1,2,1,2] => 72
[2,5,4,6,1,3,7] => 010100 => [1,1,1,1,2] => 90
[2,5,4,6,1,7,3] => 010101 => [1,1,1,1,1,1] => 132
[2,5,4,6,3,1,7] => 010110 => [1,1,1,2,1] => 104
[2,5,4,6,3,7,1] => 010101 => [1,1,1,1,1,1] => 132
[2,5,4,6,7,1,3] => 010010 => [1,1,2,1,1] => 107
[2,5,4,6,7,3,1] => 010011 => [1,1,2,2] => 75
[2,5,4,7,1,3,6] => 010100 => [1,1,1,1,2] => 90
[2,5,4,7,1,6,3] => 010101 => [1,1,1,1,1,1] => 132
[2,5,4,7,3,1,6] => 010110 => [1,1,1,2,1] => 104
[2,5,4,7,3,6,1] => 010101 => [1,1,1,1,1,1] => 132
[2,5,4,7,6,1,3] => 010110 => [1,1,1,2,1] => 104
[2,5,4,7,6,3,1] => 010111 => [1,1,1,3] => 48
[2,5,6,1,3,4,7] => 001000 => [2,1,3] => 34
[2,5,6,1,3,7,4] => 001001 => [2,1,2,1] => 72
[2,5,6,1,4,3,7] => 001010 => [2,1,1,1,1] => 90
[2,5,6,1,4,7,3] => 001001 => [2,1,2,1] => 72
[2,5,6,1,7,3,4] => 001010 => [2,1,1,1,1] => 90
[2,5,6,1,7,4,3] => 001011 => [2,1,1,2] => 62
[2,5,6,3,1,4,7] => 001100 => [2,2,2] => 53
[2,5,6,3,1,7,4] => 001101 => [2,2,1,1] => 75
[2,5,6,3,4,1,7] => 001010 => [2,1,1,1,1] => 90
[2,5,6,3,4,7,1] => 001001 => [2,1,2,1] => 72
[2,5,6,3,7,1,4] => 001010 => [2,1,1,1,1] => 90
[2,5,6,3,7,4,1] => 001011 => [2,1,1,2] => 62
[2,5,6,4,1,3,7] => 001100 => [2,2,2] => 53
[2,5,6,4,1,7,3] => 001101 => [2,2,1,1] => 75
[2,5,6,4,3,1,7] => 001110 => [2,3,1] => 45
[2,5,6,4,3,7,1] => 001101 => [2,2,1,1] => 75
[2,5,6,4,7,1,3] => 001010 => [2,1,1,1,1] => 90
[2,5,6,4,7,3,1] => 001011 => [2,1,1,2] => 62
[2,5,6,7,1,3,4] => 000100 => [3,1,2] => 34
[2,5,6,7,1,4,3] => 000101 => [3,1,1,1] => 48
[2,5,6,7,3,1,4] => 000110 => [3,2,1] => 40
[2,5,6,7,3,4,1] => 000101 => [3,1,1,1] => 48
[2,5,6,7,4,1,3] => 000110 => [3,2,1] => 40
[2,5,6,7,4,3,1] => 000111 => [3,3] => 20
[2,5,7,1,3,4,6] => 001000 => [2,1,3] => 34
[2,5,7,1,3,6,4] => 001001 => [2,1,2,1] => 72
[2,5,7,1,4,3,6] => 001010 => [2,1,1,1,1] => 90
[2,5,7,1,4,6,3] => 001001 => [2,1,2,1] => 72
[2,5,7,1,6,3,4] => 001010 => [2,1,1,1,1] => 90
[2,5,7,1,6,4,3] => 001011 => [2,1,1,2] => 62
[2,5,7,3,1,4,6] => 001100 => [2,2,2] => 53
[2,5,7,3,1,6,4] => 001101 => [2,2,1,1] => 75
[2,5,7,3,4,1,6] => 001010 => [2,1,1,1,1] => 90
[2,5,7,3,4,6,1] => 001001 => [2,1,2,1] => 72
[2,5,7,3,6,1,4] => 001010 => [2,1,1,1,1] => 90
[2,5,7,3,6,4,1] => 001011 => [2,1,1,2] => 62
[2,5,7,4,1,3,6] => 001100 => [2,2,2] => 53
[2,5,7,4,1,6,3] => 001101 => [2,2,1,1] => 75
[2,5,7,4,3,1,6] => 001110 => [2,3,1] => 45
[2,5,7,4,3,6,1] => 001101 => [2,2,1,1] => 75
[2,5,7,4,6,1,3] => 001010 => [2,1,1,1,1] => 90
[2,5,7,4,6,3,1] => 001011 => [2,1,1,2] => 62
[2,5,7,6,1,3,4] => 001100 => [2,2,2] => 53
[2,5,7,6,1,4,3] => 001101 => [2,2,1,1] => 75
[2,5,7,6,3,1,4] => 001110 => [2,3,1] => 45
[2,5,7,6,3,4,1] => 001101 => [2,2,1,1] => 75
[2,5,7,6,4,1,3] => 001110 => [2,3,1] => 45
[2,5,7,6,4,3,1] => 001111 => [2,4] => 15
[2,6,1,3,4,5,7] => 010000 => [1,1,4] => 20
[2,6,1,3,4,7,5] => 010001 => [1,1,3,1] => 62
[2,6,1,3,5,4,7] => 010010 => [1,1,2,1,1] => 107
[2,6,1,3,5,7,4] => 010001 => [1,1,3,1] => 62
[2,6,1,3,7,4,5] => 010010 => [1,1,2,1,1] => 107
[2,6,1,3,7,5,4] => 010011 => [1,1,2,2] => 75
[2,6,1,4,3,5,7] => 010100 => [1,1,1,1,2] => 90
[2,6,1,4,3,7,5] => 010101 => [1,1,1,1,1,1] => 132
[2,6,1,4,5,3,7] => 010010 => [1,1,2,1,1] => 107
[2,6,1,4,5,7,3] => 010001 => [1,1,3,1] => 62
[2,6,1,4,7,3,5] => 010010 => [1,1,2,1,1] => 107
[2,6,1,4,7,5,3] => 010011 => [1,1,2,2] => 75
[2,6,1,5,3,4,7] => 010100 => [1,1,1,1,2] => 90
[2,6,1,5,3,7,4] => 010101 => [1,1,1,1,1,1] => 132
[2,6,1,5,4,3,7] => 010110 => [1,1,1,2,1] => 104
[2,6,1,5,4,7,3] => 010101 => [1,1,1,1,1,1] => 132
[2,6,1,5,7,3,4] => 010010 => [1,1,2,1,1] => 107
[2,6,1,5,7,4,3] => 010011 => [1,1,2,2] => 75
[2,6,1,7,3,4,5] => 010100 => [1,1,1,1,2] => 90
[2,6,1,7,3,5,4] => 010101 => [1,1,1,1,1,1] => 132
[2,6,1,7,4,3,5] => 010110 => [1,1,1,2,1] => 104
[2,6,1,7,4,5,3] => 010101 => [1,1,1,1,1,1] => 132
[2,6,1,7,5,3,4] => 010110 => [1,1,1,2,1] => 104
[2,6,1,7,5,4,3] => 010111 => [1,1,1,3] => 48
[2,6,3,1,4,5,7] => 011000 => [1,2,3] => 40
[2,6,3,1,4,7,5] => 011001 => [1,2,2,1] => 84
[2,6,3,1,5,4,7] => 011010 => [1,2,1,1,1] => 104
[2,6,3,1,5,7,4] => 011001 => [1,2,2,1] => 84
[2,6,3,1,7,4,5] => 011010 => [1,2,1,1,1] => 104
[2,6,3,1,7,5,4] => 011011 => [1,2,1,2] => 72
[2,6,3,4,1,5,7] => 010100 => [1,1,1,1,2] => 90
[2,6,3,4,1,7,5] => 010101 => [1,1,1,1,1,1] => 132
[2,6,3,4,5,1,7] => 010010 => [1,1,2,1,1] => 107
[2,6,3,4,5,7,1] => 010001 => [1,1,3,1] => 62
[2,6,3,4,7,1,5] => 010010 => [1,1,2,1,1] => 107
[2,6,3,4,7,5,1] => 010011 => [1,1,2,2] => 75
[2,6,3,5,1,4,7] => 010100 => [1,1,1,1,2] => 90
[2,6,3,5,1,7,4] => 010101 => [1,1,1,1,1,1] => 132
[2,6,3,5,4,1,7] => 010110 => [1,1,1,2,1] => 104
[2,6,3,5,4,7,1] => 010101 => [1,1,1,1,1,1] => 132
[2,6,3,5,7,1,4] => 010010 => [1,1,2,1,1] => 107
[2,6,3,5,7,4,1] => 010011 => [1,1,2,2] => 75
[2,6,3,7,1,4,5] => 010100 => [1,1,1,1,2] => 90
[2,6,3,7,1,5,4] => 010101 => [1,1,1,1,1,1] => 132
[2,6,3,7,4,1,5] => 010110 => [1,1,1,2,1] => 104
[2,6,3,7,4,5,1] => 010101 => [1,1,1,1,1,1] => 132
[2,6,3,7,5,1,4] => 010110 => [1,1,1,2,1] => 104
[2,6,3,7,5,4,1] => 010111 => [1,1,1,3] => 48
[2,6,4,1,3,5,7] => 011000 => [1,2,3] => 40
[2,6,4,1,3,7,5] => 011001 => [1,2,2,1] => 84
[2,6,4,1,5,3,7] => 011010 => [1,2,1,1,1] => 104
[2,6,4,1,5,7,3] => 011001 => [1,2,2,1] => 84
[2,6,4,1,7,3,5] => 011010 => [1,2,1,1,1] => 104
[2,6,4,1,7,5,3] => 011011 => [1,2,1,2] => 72
[2,6,4,3,1,5,7] => 011100 => [1,3,2] => 45
[2,6,4,3,1,7,5] => 011101 => [1,3,1,1] => 62
[2,6,4,3,5,1,7] => 011010 => [1,2,1,1,1] => 104
[2,6,4,3,5,7,1] => 011001 => [1,2,2,1] => 84
[2,6,4,3,7,1,5] => 011010 => [1,2,1,1,1] => 104
[2,6,4,3,7,5,1] => 011011 => [1,2,1,2] => 72
[2,6,4,5,1,3,7] => 010100 => [1,1,1,1,2] => 90
[2,6,4,5,1,7,3] => 010101 => [1,1,1,1,1,1] => 132
[2,6,4,5,3,1,7] => 010110 => [1,1,1,2,1] => 104
[2,6,4,5,3,7,1] => 010101 => [1,1,1,1,1,1] => 132
[2,6,4,5,7,1,3] => 010010 => [1,1,2,1,1] => 107
[2,6,4,5,7,3,1] => 010011 => [1,1,2,2] => 75
[2,6,4,7,1,3,5] => 010100 => [1,1,1,1,2] => 90
[2,6,4,7,1,5,3] => 010101 => [1,1,1,1,1,1] => 132
[2,6,4,7,3,1,5] => 010110 => [1,1,1,2,1] => 104
[2,6,4,7,3,5,1] => 010101 => [1,1,1,1,1,1] => 132
[2,6,4,7,5,1,3] => 010110 => [1,1,1,2,1] => 104
[2,6,4,7,5,3,1] => 010111 => [1,1,1,3] => 48
[2,6,5,1,3,4,7] => 011000 => [1,2,3] => 40
[2,6,5,1,3,7,4] => 011001 => [1,2,2,1] => 84
[2,6,5,1,4,3,7] => 011010 => [1,2,1,1,1] => 104
[2,6,5,1,4,7,3] => 011001 => [1,2,2,1] => 84
[2,6,5,1,7,3,4] => 011010 => [1,2,1,1,1] => 104
[2,6,5,1,7,4,3] => 011011 => [1,2,1,2] => 72
[2,6,5,3,1,4,7] => 011100 => [1,3,2] => 45
[2,6,5,3,1,7,4] => 011101 => [1,3,1,1] => 62
[2,6,5,3,4,1,7] => 011010 => [1,2,1,1,1] => 104
[2,6,5,3,4,7,1] => 011001 => [1,2,2,1] => 84
[2,6,5,3,7,1,4] => 011010 => [1,2,1,1,1] => 104
[2,6,5,3,7,4,1] => 011011 => [1,2,1,2] => 72
[2,6,5,4,1,3,7] => 011100 => [1,3,2] => 45
[2,6,5,4,1,7,3] => 011101 => [1,3,1,1] => 62
[2,6,5,4,3,1,7] => 011110 => [1,4,1] => 26
[2,6,5,4,3,7,1] => 011101 => [1,3,1,1] => 62
[2,6,5,4,7,1,3] => 011010 => [1,2,1,1,1] => 104
[2,6,5,4,7,3,1] => 011011 => [1,2,1,2] => 72
[2,6,5,7,1,3,4] => 010100 => [1,1,1,1,2] => 90
[2,6,5,7,1,4,3] => 010101 => [1,1,1,1,1,1] => 132
[2,6,5,7,3,1,4] => 010110 => [1,1,1,2,1] => 104
[2,6,5,7,3,4,1] => 010101 => [1,1,1,1,1,1] => 132
[2,6,5,7,4,1,3] => 010110 => [1,1,1,2,1] => 104
[2,6,5,7,4,3,1] => 010111 => [1,1,1,3] => 48
[2,6,7,1,3,4,5] => 001000 => [2,1,3] => 34
[2,6,7,1,3,5,4] => 001001 => [2,1,2,1] => 72
[2,6,7,1,4,3,5] => 001010 => [2,1,1,1,1] => 90
[2,6,7,1,4,5,3] => 001001 => [2,1,2,1] => 72
[2,6,7,1,5,3,4] => 001010 => [2,1,1,1,1] => 90
[2,6,7,1,5,4,3] => 001011 => [2,1,1,2] => 62
[2,6,7,3,1,4,5] => 001100 => [2,2,2] => 53
[2,6,7,3,1,5,4] => 001101 => [2,2,1,1] => 75
[2,6,7,3,4,1,5] => 001010 => [2,1,1,1,1] => 90
[2,6,7,3,4,5,1] => 001001 => [2,1,2,1] => 72
[2,6,7,3,5,1,4] => 001010 => [2,1,1,1,1] => 90
[2,6,7,3,5,4,1] => 001011 => [2,1,1,2] => 62
[2,6,7,4,1,3,5] => 001100 => [2,2,2] => 53
[2,6,7,4,1,5,3] => 001101 => [2,2,1,1] => 75
[2,6,7,4,3,1,5] => 001110 => [2,3,1] => 45
[2,6,7,4,3,5,1] => 001101 => [2,2,1,1] => 75
[2,6,7,4,5,1,3] => 001010 => [2,1,1,1,1] => 90
[2,6,7,4,5,3,1] => 001011 => [2,1,1,2] => 62
[2,6,7,5,1,3,4] => 001100 => [2,2,2] => 53
[2,6,7,5,1,4,3] => 001101 => [2,2,1,1] => 75
[2,6,7,5,3,1,4] => 001110 => [2,3,1] => 45
[2,6,7,5,3,4,1] => 001101 => [2,2,1,1] => 75
[2,6,7,5,4,1,3] => 001110 => [2,3,1] => 45
[2,6,7,5,4,3,1] => 001111 => [2,4] => 15
[2,7,1,3,4,5,6] => 010000 => [1,1,4] => 20
[2,7,1,3,4,6,5] => 010001 => [1,1,3,1] => 62
[2,7,1,3,5,4,6] => 010010 => [1,1,2,1,1] => 107
[2,7,1,3,5,6,4] => 010001 => [1,1,3,1] => 62
[2,7,1,3,6,4,5] => 010010 => [1,1,2,1,1] => 107
[2,7,1,3,6,5,4] => 010011 => [1,1,2,2] => 75
[2,7,1,4,3,5,6] => 010100 => [1,1,1,1,2] => 90
[2,7,1,4,3,6,5] => 010101 => [1,1,1,1,1,1] => 132
[2,7,1,4,5,3,6] => 010010 => [1,1,2,1,1] => 107
[2,7,1,4,5,6,3] => 010001 => [1,1,3,1] => 62
[2,7,1,4,6,3,5] => 010010 => [1,1,2,1,1] => 107
[2,7,1,4,6,5,3] => 010011 => [1,1,2,2] => 75
[2,7,1,5,3,4,6] => 010100 => [1,1,1,1,2] => 90
[2,7,1,5,3,6,4] => 010101 => [1,1,1,1,1,1] => 132
[2,7,1,5,4,3,6] => 010110 => [1,1,1,2,1] => 104
[2,7,1,5,4,6,3] => 010101 => [1,1,1,1,1,1] => 132
[2,7,1,5,6,3,4] => 010010 => [1,1,2,1,1] => 107
[2,7,1,5,6,4,3] => 010011 => [1,1,2,2] => 75
[2,7,1,6,3,4,5] => 010100 => [1,1,1,1,2] => 90
[2,7,1,6,3,5,4] => 010101 => [1,1,1,1,1,1] => 132
[2,7,1,6,4,3,5] => 010110 => [1,1,1,2,1] => 104
[2,7,1,6,4,5,3] => 010101 => [1,1,1,1,1,1] => 132
[2,7,1,6,5,3,4] => 010110 => [1,1,1,2,1] => 104
[2,7,1,6,5,4,3] => 010111 => [1,1,1,3] => 48
[2,7,3,1,4,5,6] => 011000 => [1,2,3] => 40
[2,7,3,1,4,6,5] => 011001 => [1,2,2,1] => 84
[2,7,3,1,5,4,6] => 011010 => [1,2,1,1,1] => 104
[2,7,3,1,5,6,4] => 011001 => [1,2,2,1] => 84
[2,7,3,1,6,4,5] => 011010 => [1,2,1,1,1] => 104
[2,7,3,1,6,5,4] => 011011 => [1,2,1,2] => 72
[2,7,3,4,1,5,6] => 010100 => [1,1,1,1,2] => 90
[2,7,3,4,1,6,5] => 010101 => [1,1,1,1,1,1] => 132
[2,7,3,4,5,1,6] => 010010 => [1,1,2,1,1] => 107
[2,7,3,4,5,6,1] => 010001 => [1,1,3,1] => 62
[2,7,3,4,6,1,5] => 010010 => [1,1,2,1,1] => 107
[2,7,3,4,6,5,1] => 010011 => [1,1,2,2] => 75
[2,7,3,5,1,4,6] => 010100 => [1,1,1,1,2] => 90
[2,7,3,5,1,6,4] => 010101 => [1,1,1,1,1,1] => 132
[2,7,3,5,4,1,6] => 010110 => [1,1,1,2,1] => 104
[2,7,3,5,4,6,1] => 010101 => [1,1,1,1,1,1] => 132
[2,7,3,5,6,1,4] => 010010 => [1,1,2,1,1] => 107
[2,7,3,5,6,4,1] => 010011 => [1,1,2,2] => 75
[2,7,3,6,1,4,5] => 010100 => [1,1,1,1,2] => 90
[2,7,3,6,1,5,4] => 010101 => [1,1,1,1,1,1] => 132
[2,7,3,6,4,1,5] => 010110 => [1,1,1,2,1] => 104
[2,7,3,6,4,5,1] => 010101 => [1,1,1,1,1,1] => 132
[2,7,3,6,5,1,4] => 010110 => [1,1,1,2,1] => 104
[2,7,3,6,5,4,1] => 010111 => [1,1,1,3] => 48
[2,7,4,1,3,5,6] => 011000 => [1,2,3] => 40
[2,7,4,1,3,6,5] => 011001 => [1,2,2,1] => 84
[2,7,4,1,5,3,6] => 011010 => [1,2,1,1,1] => 104
[2,7,4,1,5,6,3] => 011001 => [1,2,2,1] => 84
[2,7,4,1,6,3,5] => 011010 => [1,2,1,1,1] => 104
[2,7,4,1,6,5,3] => 011011 => [1,2,1,2] => 72
[2,7,4,3,1,5,6] => 011100 => [1,3,2] => 45
[2,7,4,3,1,6,5] => 011101 => [1,3,1,1] => 62
[2,7,4,3,5,1,6] => 011010 => [1,2,1,1,1] => 104
[2,7,4,3,5,6,1] => 011001 => [1,2,2,1] => 84
[2,7,4,3,6,1,5] => 011010 => [1,2,1,1,1] => 104
[2,7,4,3,6,5,1] => 011011 => [1,2,1,2] => 72
[2,7,4,5,1,3,6] => 010100 => [1,1,1,1,2] => 90
[2,7,4,5,1,6,3] => 010101 => [1,1,1,1,1,1] => 132
[2,7,4,5,3,1,6] => 010110 => [1,1,1,2,1] => 104
[2,7,4,5,3,6,1] => 010101 => [1,1,1,1,1,1] => 132
[2,7,4,5,6,1,3] => 010010 => [1,1,2,1,1] => 107
[2,7,4,5,6,3,1] => 010011 => [1,1,2,2] => 75
[2,7,4,6,1,3,5] => 010100 => [1,1,1,1,2] => 90
[2,7,4,6,1,5,3] => 010101 => [1,1,1,1,1,1] => 132
[2,7,4,6,3,1,5] => 010110 => [1,1,1,2,1] => 104
[2,7,4,6,3,5,1] => 010101 => [1,1,1,1,1,1] => 132
[2,7,4,6,5,1,3] => 010110 => [1,1,1,2,1] => 104
[2,7,4,6,5,3,1] => 010111 => [1,1,1,3] => 48
[2,7,5,1,3,4,6] => 011000 => [1,2,3] => 40
[2,7,5,1,3,6,4] => 011001 => [1,2,2,1] => 84
[2,7,5,1,4,3,6] => 011010 => [1,2,1,1,1] => 104
[2,7,5,1,4,6,3] => 011001 => [1,2,2,1] => 84
[2,7,5,1,6,3,4] => 011010 => [1,2,1,1,1] => 104
[2,7,5,1,6,4,3] => 011011 => [1,2,1,2] => 72
[2,7,5,3,1,4,6] => 011100 => [1,3,2] => 45
[2,7,5,3,1,6,4] => 011101 => [1,3,1,1] => 62
[2,7,5,3,4,1,6] => 011010 => [1,2,1,1,1] => 104
[2,7,5,3,4,6,1] => 011001 => [1,2,2,1] => 84
[2,7,5,3,6,1,4] => 011010 => [1,2,1,1,1] => 104
[2,7,5,3,6,4,1] => 011011 => [1,2,1,2] => 72
[2,7,5,4,1,3,6] => 011100 => [1,3,2] => 45
[2,7,5,4,1,6,3] => 011101 => [1,3,1,1] => 62
[2,7,5,4,3,1,6] => 011110 => [1,4,1] => 26
[2,7,5,4,3,6,1] => 011101 => [1,3,1,1] => 62
[2,7,5,4,6,1,3] => 011010 => [1,2,1,1,1] => 104
[2,7,5,4,6,3,1] => 011011 => [1,2,1,2] => 72
[2,7,5,6,1,3,4] => 010100 => [1,1,1,1,2] => 90
[2,7,5,6,1,4,3] => 010101 => [1,1,1,1,1,1] => 132
[2,7,5,6,3,1,4] => 010110 => [1,1,1,2,1] => 104
[2,7,5,6,3,4,1] => 010101 => [1,1,1,1,1,1] => 132
[2,7,5,6,4,1,3] => 010110 => [1,1,1,2,1] => 104
[2,7,5,6,4,3,1] => 010111 => [1,1,1,3] => 48
[2,7,6,1,3,4,5] => 011000 => [1,2,3] => 40
[2,7,6,1,3,5,4] => 011001 => [1,2,2,1] => 84
[2,7,6,1,4,3,5] => 011010 => [1,2,1,1,1] => 104
[2,7,6,1,4,5,3] => 011001 => [1,2,2,1] => 84
[2,7,6,1,5,3,4] => 011010 => [1,2,1,1,1] => 104
[2,7,6,1,5,4,3] => 011011 => [1,2,1,2] => 72
[2,7,6,3,1,4,5] => 011100 => [1,3,2] => 45
[2,7,6,3,1,5,4] => 011101 => [1,3,1,1] => 62
[2,7,6,3,4,1,5] => 011010 => [1,2,1,1,1] => 104
[2,7,6,3,4,5,1] => 011001 => [1,2,2,1] => 84
[2,7,6,3,5,1,4] => 011010 => [1,2,1,1,1] => 104
[2,7,6,3,5,4,1] => 011011 => [1,2,1,2] => 72
[2,7,6,4,1,3,5] => 011100 => [1,3,2] => 45
[2,7,6,4,1,5,3] => 011101 => [1,3,1,1] => 62
[2,7,6,4,3,1,5] => 011110 => [1,4,1] => 26
[2,7,6,4,3,5,1] => 011101 => [1,3,1,1] => 62
[2,7,6,4,5,1,3] => 011010 => [1,2,1,1,1] => 104
[2,7,6,4,5,3,1] => 011011 => [1,2,1,2] => 72
[2,7,6,5,1,3,4] => 011100 => [1,3,2] => 45
[2,7,6,5,1,4,3] => 011101 => [1,3,1,1] => 62
[2,7,6,5,3,1,4] => 011110 => [1,4,1] => 26
[2,7,6,5,3,4,1] => 011101 => [1,3,1,1] => 62
[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] => 62
[3,1,2,4,6,7,5] => 100001 => [1,4,1] => 26
[3,1,2,4,7,5,6] => 100010 => [1,3,1,1] => 62
[3,1,2,4,7,6,5] => 100011 => [1,3,2] => 45
[3,1,2,5,4,6,7] => 100100 => [1,2,1,2] => 72
[3,1,2,5,4,7,6] => 100101 => [1,2,1,1,1] => 104
[3,1,2,5,6,4,7] => 100010 => [1,3,1,1] => 62
[3,1,2,5,6,7,4] => 100001 => [1,4,1] => 26
[3,1,2,5,7,4,6] => 100010 => [1,3,1,1] => 62
[3,1,2,5,7,6,4] => 100011 => [1,3,2] => 45
[3,1,2,6,4,5,7] => 100100 => [1,2,1,2] => 72
[3,1,2,6,4,7,5] => 100101 => [1,2,1,1,1] => 104
[3,1,2,6,5,4,7] => 100110 => [1,2,2,1] => 84
[3,1,2,6,5,7,4] => 100101 => [1,2,1,1,1] => 104
[3,1,2,6,7,4,5] => 100010 => [1,3,1,1] => 62
[3,1,2,6,7,5,4] => 100011 => [1,3,2] => 45
[3,1,2,7,4,5,6] => 100100 => [1,2,1,2] => 72
[3,1,2,7,4,6,5] => 100101 => [1,2,1,1,1] => 104
[3,1,2,7,5,4,6] => 100110 => [1,2,2,1] => 84
[3,1,2,7,5,6,4] => 100101 => [1,2,1,1,1] => 104
[3,1,2,7,6,4,5] => 100110 => [1,2,2,1] => 84
[3,1,2,7,6,5,4] => 100111 => [1,2,3] => 40
[3,1,4,2,5,6,7] => 101000 => [1,1,1,3] => 48
[3,1,4,2,5,7,6] => 101001 => [1,1,1,2,1] => 104
[3,1,4,2,6,5,7] => 101010 => [1,1,1,1,1,1] => 132
[3,1,4,2,6,7,5] => 101001 => [1,1,1,2,1] => 104
[3,1,4,2,7,5,6] => 101010 => [1,1,1,1,1,1] => 132
[3,1,4,2,7,6,5] => 101011 => [1,1,1,1,2] => 90
[3,1,4,5,2,6,7] => 100100 => [1,2,1,2] => 72
[3,1,4,5,2,7,6] => 100101 => [1,2,1,1,1] => 104
[3,1,4,5,6,2,7] => 100010 => [1,3,1,1] => 62
[3,1,4,5,6,7,2] => 100001 => [1,4,1] => 26
[3,1,4,5,7,2,6] => 100010 => [1,3,1,1] => 62
[3,1,4,5,7,6,2] => 100011 => [1,3,2] => 45
[3,1,4,6,2,5,7] => 100100 => [1,2,1,2] => 72
[3,1,4,6,2,7,5] => 100101 => [1,2,1,1,1] => 104
[3,1,4,6,5,2,7] => 100110 => [1,2,2,1] => 84
[3,1,4,6,5,7,2] => 100101 => [1,2,1,1,1] => 104
[3,1,4,6,7,2,5] => 100010 => [1,3,1,1] => 62
[3,1,4,6,7,5,2] => 100011 => [1,3,2] => 45
[3,1,4,7,2,5,6] => 100100 => [1,2,1,2] => 72
[3,1,4,7,2,6,5] => 100101 => [1,2,1,1,1] => 104
[3,1,4,7,5,2,6] => 100110 => [1,2,2,1] => 84
[3,1,4,7,5,6,2] => 100101 => [1,2,1,1,1] => 104
[3,1,4,7,6,2,5] => 100110 => [1,2,2,1] => 84
[3,1,4,7,6,5,2] => 100111 => [1,2,3] => 40
[3,1,5,2,4,6,7] => 101000 => [1,1,1,3] => 48
[3,1,5,2,4,7,6] => 101001 => [1,1,1,2,1] => 104
[3,1,5,2,6,4,7] => 101010 => [1,1,1,1,1,1] => 132
[3,1,5,2,6,7,4] => 101001 => [1,1,1,2,1] => 104
[3,1,5,2,7,4,6] => 101010 => [1,1,1,1,1,1] => 132
[3,1,5,2,7,6,4] => 101011 => [1,1,1,1,2] => 90
[3,1,5,4,2,6,7] => 101100 => [1,1,2,2] => 75
[3,1,5,4,2,7,6] => 101101 => [1,1,2,1,1] => 107
[3,1,5,4,6,2,7] => 101010 => [1,1,1,1,1,1] => 132
[3,1,5,4,6,7,2] => 101001 => [1,1,1,2,1] => 104
[3,1,5,4,7,2,6] => 101010 => [1,1,1,1,1,1] => 132
[3,1,5,4,7,6,2] => 101011 => [1,1,1,1,2] => 90
[3,1,5,6,2,4,7] => 100100 => [1,2,1,2] => 72
[3,1,5,6,2,7,4] => 100101 => [1,2,1,1,1] => 104
[3,1,5,6,4,2,7] => 100110 => [1,2,2,1] => 84
[3,1,5,6,4,7,2] => 100101 => [1,2,1,1,1] => 104
[3,1,5,6,7,2,4] => 100010 => [1,3,1,1] => 62
[3,1,5,6,7,4,2] => 100011 => [1,3,2] => 45
[3,1,5,7,2,4,6] => 100100 => [1,2,1,2] => 72
[3,1,5,7,2,6,4] => 100101 => [1,2,1,1,1] => 104
[3,1,5,7,4,2,6] => 100110 => [1,2,2,1] => 84
[3,1,5,7,4,6,2] => 100101 => [1,2,1,1,1] => 104
[3,1,5,7,6,2,4] => 100110 => [1,2,2,1] => 84
[3,1,5,7,6,4,2] => 100111 => [1,2,3] => 40
[3,1,6,2,4,5,7] => 101000 => [1,1,1,3] => 48
[3,1,6,2,4,7,5] => 101001 => [1,1,1,2,1] => 104
[3,1,6,2,5,4,7] => 101010 => [1,1,1,1,1,1] => 132
[3,1,6,2,5,7,4] => 101001 => [1,1,1,2,1] => 104
[3,1,6,2,7,4,5] => 101010 => [1,1,1,1,1,1] => 132
[3,1,6,2,7,5,4] => 101011 => [1,1,1,1,2] => 90
[3,1,6,4,2,5,7] => 101100 => [1,1,2,2] => 75
[3,1,6,4,2,7,5] => 101101 => [1,1,2,1,1] => 107
[3,1,6,4,5,2,7] => 101010 => [1,1,1,1,1,1] => 132
[3,1,6,4,5,7,2] => 101001 => [1,1,1,2,1] => 104
[3,1,6,4,7,2,5] => 101010 => [1,1,1,1,1,1] => 132
[3,1,6,4,7,5,2] => 101011 => [1,1,1,1,2] => 90
[3,1,6,5,2,4,7] => 101100 => [1,1,2,2] => 75
[3,1,6,5,2,7,4] => 101101 => [1,1,2,1,1] => 107
[3,1,6,5,4,2,7] => 101110 => [1,1,3,1] => 62
[3,1,6,5,4,7,2] => 101101 => [1,1,2,1,1] => 107
[3,1,6,5,7,2,4] => 101010 => [1,1,1,1,1,1] => 132
[3,1,6,5,7,4,2] => 101011 => [1,1,1,1,2] => 90
[3,1,6,7,2,4,5] => 100100 => [1,2,1,2] => 72
[3,1,6,7,2,5,4] => 100101 => [1,2,1,1,1] => 104
[3,1,6,7,4,2,5] => 100110 => [1,2,2,1] => 84
[3,1,6,7,4,5,2] => 100101 => [1,2,1,1,1] => 104
[3,1,6,7,5,2,4] => 100110 => [1,2,2,1] => 84
[3,1,6,7,5,4,2] => 100111 => [1,2,3] => 40
[3,1,7,2,4,5,6] => 101000 => [1,1,1,3] => 48
[3,1,7,2,4,6,5] => 101001 => [1,1,1,2,1] => 104
[3,1,7,2,5,4,6] => 101010 => [1,1,1,1,1,1] => 132
[3,1,7,2,5,6,4] => 101001 => [1,1,1,2,1] => 104
[3,1,7,2,6,4,5] => 101010 => [1,1,1,1,1,1] => 132
[3,1,7,2,6,5,4] => 101011 => [1,1,1,1,2] => 90
[3,1,7,4,2,5,6] => 101100 => [1,1,2,2] => 75
[3,1,7,4,2,6,5] => 101101 => [1,1,2,1,1] => 107
[3,1,7,4,5,2,6] => 101010 => [1,1,1,1,1,1] => 132
[3,1,7,4,5,6,2] => 101001 => [1,1,1,2,1] => 104
[3,1,7,4,6,2,5] => 101010 => [1,1,1,1,1,1] => 132
[3,1,7,4,6,5,2] => 101011 => [1,1,1,1,2] => 90
[3,1,7,5,2,4,6] => 101100 => [1,1,2,2] => 75
[3,1,7,5,2,6,4] => 101101 => [1,1,2,1,1] => 107
[3,1,7,5,4,2,6] => 101110 => [1,1,3,1] => 62
[3,1,7,5,4,6,2] => 101101 => [1,1,2,1,1] => 107
[3,1,7,5,6,2,4] => 101010 => [1,1,1,1,1,1] => 132
[3,1,7,5,6,4,2] => 101011 => [1,1,1,1,2] => 90
[3,1,7,6,2,4,5] => 101100 => [1,1,2,2] => 75
[3,1,7,6,2,5,4] => 101101 => [1,1,2,1,1] => 107
[3,1,7,6,4,2,5] => 101110 => [1,1,3,1] => 62
[3,1,7,6,4,5,2] => 101101 => [1,1,2,1,1] => 107
[3,1,7,6,5,2,4] => 101110 => [1,1,3,1] => 62
[3,1,7,6,5,4,2] => 101111 => [1,1,4] => 20
[3,2,1,4,5,6,7] => 110000 => [2,4] => 15
[3,2,1,4,5,7,6] => 110001 => [2,3,1] => 45
[3,2,1,4,6,5,7] => 110010 => [2,2,1,1] => 75
[3,2,1,4,6,7,5] => 110001 => [2,3,1] => 45
[3,2,1,4,7,5,6] => 110010 => [2,2,1,1] => 75
[3,2,1,4,7,6,5] => 110011 => [2,2,2] => 53
[3,2,1,5,4,6,7] => 110100 => [2,1,1,2] => 62
[3,2,1,5,4,7,6] => 110101 => [2,1,1,1,1] => 90
[3,2,1,5,6,4,7] => 110010 => [2,2,1,1] => 75
[3,2,1,5,6,7,4] => 110001 => [2,3,1] => 45
[3,2,1,5,7,4,6] => 110010 => [2,2,1,1] => 75
[3,2,1,5,7,6,4] => 110011 => [2,2,2] => 53
[3,2,1,6,4,5,7] => 110100 => [2,1,1,2] => 62
[3,2,1,6,4,7,5] => 110101 => [2,1,1,1,1] => 90
[3,2,1,6,5,4,7] => 110110 => [2,1,2,1] => 72
[3,2,1,6,5,7,4] => 110101 => [2,1,1,1,1] => 90
[3,2,1,6,7,4,5] => 110010 => [2,2,1,1] => 75
[3,2,1,6,7,5,4] => 110011 => [2,2,2] => 53
[3,2,1,7,4,5,6] => 110100 => [2,1,1,2] => 62
[3,2,1,7,4,6,5] => 110101 => [2,1,1,1,1] => 90
[3,2,1,7,5,4,6] => 110110 => [2,1,2,1] => 72
[3,2,1,7,5,6,4] => 110101 => [2,1,1,1,1] => 90
[3,2,1,7,6,4,5] => 110110 => [2,1,2,1] => 72
[3,2,1,7,6,5,4] => 110111 => [2,1,3] => 34
[3,2,4,1,5,6,7] => 101000 => [1,1,1,3] => 48
[3,2,4,1,5,7,6] => 101001 => [1,1,1,2,1] => 104
[3,2,4,1,6,5,7] => 101010 => [1,1,1,1,1,1] => 132
[3,2,4,1,6,7,5] => 101001 => [1,1,1,2,1] => 104
[3,2,4,1,7,5,6] => 101010 => [1,1,1,1,1,1] => 132
[3,2,4,1,7,6,5] => 101011 => [1,1,1,1,2] => 90
[3,2,4,5,1,6,7] => 100100 => [1,2,1,2] => 72
[3,2,4,5,1,7,6] => 100101 => [1,2,1,1,1] => 104
[3,2,4,5,6,1,7] => 100010 => [1,3,1,1] => 62
[3,2,4,5,6,7,1] => 100001 => [1,4,1] => 26
[3,2,4,5,7,1,6] => 100010 => [1,3,1,1] => 62
[3,2,4,5,7,6,1] => 100011 => [1,3,2] => 45
[3,2,4,6,1,5,7] => 100100 => [1,2,1,2] => 72
[3,2,4,6,1,7,5] => 100101 => [1,2,1,1,1] => 104
[3,2,4,6,5,1,7] => 100110 => [1,2,2,1] => 84
[3,2,4,6,5,7,1] => 100101 => [1,2,1,1,1] => 104
[3,2,4,6,7,1,5] => 100010 => [1,3,1,1] => 62
[3,2,4,6,7,5,1] => 100011 => [1,3,2] => 45
[3,2,4,7,1,5,6] => 100100 => [1,2,1,2] => 72
[3,2,4,7,1,6,5] => 100101 => [1,2,1,1,1] => 104
[3,2,4,7,5,1,6] => 100110 => [1,2,2,1] => 84
[3,2,4,7,5,6,1] => 100101 => [1,2,1,1,1] => 104
[3,2,4,7,6,1,5] => 100110 => [1,2,2,1] => 84
[3,2,4,7,6,5,1] => 100111 => [1,2,3] => 40
[3,2,5,1,4,6,7] => 101000 => [1,1,1,3] => 48
[3,2,5,1,4,7,6] => 101001 => [1,1,1,2,1] => 104
[3,2,5,1,6,4,7] => 101010 => [1,1,1,1,1,1] => 132
[3,2,5,1,6,7,4] => 101001 => [1,1,1,2,1] => 104
[3,2,5,1,7,4,6] => 101010 => [1,1,1,1,1,1] => 132
[3,2,5,1,7,6,4] => 101011 => [1,1,1,1,2] => 90
[3,2,5,4,1,6,7] => 101100 => [1,1,2,2] => 75
[3,2,5,4,1,7,6] => 101101 => [1,1,2,1,1] => 107
[3,2,5,4,6,1,7] => 101010 => [1,1,1,1,1,1] => 132
[3,2,5,4,6,7,1] => 101001 => [1,1,1,2,1] => 104
[3,2,5,4,7,1,6] => 101010 => [1,1,1,1,1,1] => 132
[3,2,5,4,7,6,1] => 101011 => [1,1,1,1,2] => 90
[3,2,5,6,1,4,7] => 100100 => [1,2,1,2] => 72
[3,2,5,6,1,7,4] => 100101 => [1,2,1,1,1] => 104
[3,2,5,6,4,1,7] => 100110 => [1,2,2,1] => 84
[3,2,5,6,4,7,1] => 100101 => [1,2,1,1,1] => 104
[3,2,5,6,7,1,4] => 100010 => [1,3,1,1] => 62
[3,2,5,6,7,4,1] => 100011 => [1,3,2] => 45
[3,2,5,7,1,4,6] => 100100 => [1,2,1,2] => 72
[3,2,5,7,1,6,4] => 100101 => [1,2,1,1,1] => 104
[3,2,5,7,4,1,6] => 100110 => [1,2,2,1] => 84
[3,2,5,7,4,6,1] => 100101 => [1,2,1,1,1] => 104
[3,2,5,7,6,1,4] => 100110 => [1,2,2,1] => 84
[3,2,5,7,6,4,1] => 100111 => [1,2,3] => 40
[3,2,6,1,4,5,7] => 101000 => [1,1,1,3] => 48
[3,2,6,1,4,7,5] => 101001 => [1,1,1,2,1] => 104
[3,2,6,1,5,4,7] => 101010 => [1,1,1,1,1,1] => 132
[3,2,6,1,5,7,4] => 101001 => [1,1,1,2,1] => 104
[3,2,6,1,7,4,5] => 101010 => [1,1,1,1,1,1] => 132
[3,2,6,1,7,5,4] => 101011 => [1,1,1,1,2] => 90
[3,2,6,4,1,5,7] => 101100 => [1,1,2,2] => 75
[3,2,6,4,1,7,5] => 101101 => [1,1,2,1,1] => 107
[3,2,6,4,5,1,7] => 101010 => [1,1,1,1,1,1] => 132
[3,2,6,4,5,7,1] => 101001 => [1,1,1,2,1] => 104
[3,2,6,4,7,1,5] => 101010 => [1,1,1,1,1,1] => 132
[3,2,6,4,7,5,1] => 101011 => [1,1,1,1,2] => 90
[3,2,6,5,1,4,7] => 101100 => [1,1,2,2] => 75
[3,2,6,5,1,7,4] => 101101 => [1,1,2,1,1] => 107
[3,2,6,5,4,1,7] => 101110 => [1,1,3,1] => 62
[3,2,6,5,4,7,1] => 101101 => [1,1,2,1,1] => 107
[3,2,6,5,7,1,4] => 101010 => [1,1,1,1,1,1] => 132
[3,2,6,5,7,4,1] => 101011 => [1,1,1,1,2] => 90
[3,2,6,7,1,4,5] => 100100 => [1,2,1,2] => 72
[3,2,6,7,1,5,4] => 100101 => [1,2,1,1,1] => 104
[3,2,6,7,4,1,5] => 100110 => [1,2,2,1] => 84
[3,2,6,7,4,5,1] => 100101 => [1,2,1,1,1] => 104
[3,2,6,7,5,1,4] => 100110 => [1,2,2,1] => 84
[3,2,6,7,5,4,1] => 100111 => [1,2,3] => 40
[3,2,7,1,4,5,6] => 101000 => [1,1,1,3] => 48
[3,2,7,1,4,6,5] => 101001 => [1,1,1,2,1] => 104
[3,2,7,1,5,4,6] => 101010 => [1,1,1,1,1,1] => 132
[3,2,7,1,5,6,4] => 101001 => [1,1,1,2,1] => 104
[3,2,7,1,6,4,5] => 101010 => [1,1,1,1,1,1] => 132
[3,2,7,1,6,5,4] => 101011 => [1,1,1,1,2] => 90
[3,2,7,4,1,5,6] => 101100 => [1,1,2,2] => 75
[3,2,7,4,1,6,5] => 101101 => [1,1,2,1,1] => 107
[3,2,7,4,5,1,6] => 101010 => [1,1,1,1,1,1] => 132
[3,2,7,4,5,6,1] => 101001 => [1,1,1,2,1] => 104
[3,2,7,4,6,1,5] => 101010 => [1,1,1,1,1,1] => 132
[3,2,7,4,6,5,1] => 101011 => [1,1,1,1,2] => 90
[3,2,7,5,1,4,6] => 101100 => [1,1,2,2] => 75
[3,2,7,5,1,6,4] => 101101 => [1,1,2,1,1] => 107
[3,2,7,5,4,1,6] => 101110 => [1,1,3,1] => 62
[3,2,7,5,4,6,1] => 101101 => [1,1,2,1,1] => 107
[3,2,7,5,6,1,4] => 101010 => [1,1,1,1,1,1] => 132
[3,2,7,5,6,4,1] => 101011 => [1,1,1,1,2] => 90
[3,2,7,6,1,4,5] => 101100 => [1,1,2,2] => 75
[3,2,7,6,1,5,4] => 101101 => [1,1,2,1,1] => 107
[3,2,7,6,4,1,5] => 101110 => [1,1,3,1] => 62
[3,2,7,6,4,5,1] => 101101 => [1,1,2,1,1] => 107
[3,2,7,6,5,1,4] => 101110 => [1,1,3,1] => 62
[3,2,7,6,5,4,1] => 101111 => [1,1,4] => 20
[3,4,1,2,5,6,7] => 010000 => [1,1,4] => 20
[3,4,1,2,5,7,6] => 010001 => [1,1,3,1] => 62
[3,4,1,2,6,5,7] => 010010 => [1,1,2,1,1] => 107
[3,4,1,2,6,7,5] => 010001 => [1,1,3,1] => 62
[3,4,1,2,7,5,6] => 010010 => [1,1,2,1,1] => 107
[3,4,1,2,7,6,5] => 010011 => [1,1,2,2] => 75
[3,4,1,5,2,6,7] => 010100 => [1,1,1,1,2] => 90
[3,4,1,5,2,7,6] => 010101 => [1,1,1,1,1,1] => 132
[3,4,1,5,6,2,7] => 010010 => [1,1,2,1,1] => 107
[3,4,1,5,6,7,2] => 010001 => [1,1,3,1] => 62
[3,4,1,5,7,2,6] => 010010 => [1,1,2,1,1] => 107
[3,4,1,5,7,6,2] => 010011 => [1,1,2,2] => 75
[3,4,1,6,2,5,7] => 010100 => [1,1,1,1,2] => 90
[3,4,1,6,2,7,5] => 010101 => [1,1,1,1,1,1] => 132
[3,4,1,6,5,2,7] => 010110 => [1,1,1,2,1] => 104
[3,4,1,6,5,7,2] => 010101 => [1,1,1,1,1,1] => 132
[3,4,1,6,7,2,5] => 010010 => [1,1,2,1,1] => 107
[3,4,1,6,7,5,2] => 010011 => [1,1,2,2] => 75
[3,4,1,7,2,5,6] => 010100 => [1,1,1,1,2] => 90
[3,4,1,7,2,6,5] => 010101 => [1,1,1,1,1,1] => 132
[3,4,1,7,5,2,6] => 010110 => [1,1,1,2,1] => 104
[3,4,1,7,5,6,2] => 010101 => [1,1,1,1,1,1] => 132
[3,4,1,7,6,2,5] => 010110 => [1,1,1,2,1] => 104
[3,4,1,7,6,5,2] => 010111 => [1,1,1,3] => 48
[3,4,2,1,5,6,7] => 011000 => [1,2,3] => 40
[3,4,2,1,5,7,6] => 011001 => [1,2,2,1] => 84
[3,4,2,1,6,5,7] => 011010 => [1,2,1,1,1] => 104
[3,4,2,1,6,7,5] => 011001 => [1,2,2,1] => 84
[3,4,2,1,7,5,6] => 011010 => [1,2,1,1,1] => 104
[3,4,2,1,7,6,5] => 011011 => [1,2,1,2] => 72
[3,4,2,5,1,6,7] => 010100 => [1,1,1,1,2] => 90
[3,4,2,5,1,7,6] => 010101 => [1,1,1,1,1,1] => 132
[3,4,2,5,6,1,7] => 010010 => [1,1,2,1,1] => 107
[3,4,2,5,6,7,1] => 010001 => [1,1,3,1] => 62
[3,4,2,5,7,1,6] => 010010 => [1,1,2,1,1] => 107
[3,4,2,5,7,6,1] => 010011 => [1,1,2,2] => 75
[3,4,2,6,1,5,7] => 010100 => [1,1,1,1,2] => 90
[3,4,2,6,1,7,5] => 010101 => [1,1,1,1,1,1] => 132
[3,4,2,6,5,1,7] => 010110 => [1,1,1,2,1] => 104
[3,4,2,6,5,7,1] => 010101 => [1,1,1,1,1,1] => 132
[3,4,2,6,7,1,5] => 010010 => [1,1,2,1,1] => 107
[3,4,2,6,7,5,1] => 010011 => [1,1,2,2] => 75
[3,4,2,7,1,5,6] => 010100 => [1,1,1,1,2] => 90
[3,4,2,7,1,6,5] => 010101 => [1,1,1,1,1,1] => 132
[3,4,2,7,5,1,6] => 010110 => [1,1,1,2,1] => 104
[3,4,2,7,5,6,1] => 010101 => [1,1,1,1,1,1] => 132
[3,4,2,7,6,1,5] => 010110 => [1,1,1,2,1] => 104
[3,4,2,7,6,5,1] => 010111 => [1,1,1,3] => 48
[3,4,5,1,2,6,7] => 001000 => [2,1,3] => 34
[3,4,5,1,2,7,6] => 001001 => [2,1,2,1] => 72
[3,4,5,1,6,2,7] => 001010 => [2,1,1,1,1] => 90
[3,4,5,1,6,7,2] => 001001 => [2,1,2,1] => 72
[3,4,5,1,7,2,6] => 001010 => [2,1,1,1,1] => 90
[3,4,5,1,7,6,2] => 001011 => [2,1,1,2] => 62
[3,4,5,2,1,6,7] => 001100 => [2,2,2] => 53
[3,4,5,2,1,7,6] => 001101 => [2,2,1,1] => 75
[3,4,5,2,6,1,7] => 001010 => [2,1,1,1,1] => 90
[3,4,5,2,6,7,1] => 001001 => [2,1,2,1] => 72
[3,4,5,2,7,1,6] => 001010 => [2,1,1,1,1] => 90
[3,4,5,2,7,6,1] => 001011 => [2,1,1,2] => 62
[3,4,5,6,1,2,7] => 000100 => [3,1,2] => 34
[3,4,5,6,1,7,2] => 000101 => [3,1,1,1] => 48
[3,4,5,6,2,1,7] => 000110 => [3,2,1] => 40
[3,4,5,6,2,7,1] => 000101 => [3,1,1,1] => 48
[3,4,5,6,7,1,2] => 000010 => [4,1,1] => 20
[3,4,5,6,7,2,1] => 000011 => [4,2] => 15
[3,4,5,7,1,2,6] => 000100 => [3,1,2] => 34
[3,4,5,7,1,6,2] => 000101 => [3,1,1,1] => 48
[3,4,5,7,2,1,6] => 000110 => [3,2,1] => 40
[3,4,5,7,2,6,1] => 000101 => [3,1,1,1] => 48
[3,4,5,7,6,1,2] => 000110 => [3,2,1] => 40
[3,4,5,7,6,2,1] => 000111 => [3,3] => 20
[3,4,6,1,2,5,7] => 001000 => [2,1,3] => 34
[3,4,6,1,2,7,5] => 001001 => [2,1,2,1] => 72
[3,4,6,1,5,2,7] => 001010 => [2,1,1,1,1] => 90
[3,4,6,1,5,7,2] => 001001 => [2,1,2,1] => 72
[3,4,6,1,7,2,5] => 001010 => [2,1,1,1,1] => 90
[3,4,6,1,7,5,2] => 001011 => [2,1,1,2] => 62
[3,4,6,2,1,5,7] => 001100 => [2,2,2] => 53
[3,4,6,2,1,7,5] => 001101 => [2,2,1,1] => 75
[3,4,6,2,5,1,7] => 001010 => [2,1,1,1,1] => 90
[3,4,6,2,5,7,1] => 001001 => [2,1,2,1] => 72
[3,4,6,2,7,1,5] => 001010 => [2,1,1,1,1] => 90
[3,4,6,2,7,5,1] => 001011 => [2,1,1,2] => 62
[3,4,6,5,1,2,7] => 001100 => [2,2,2] => 53
[3,4,6,5,1,7,2] => 001101 => [2,2,1,1] => 75
[3,4,6,5,2,1,7] => 001110 => [2,3,1] => 45
[3,4,6,5,2,7,1] => 001101 => [2,2,1,1] => 75
[3,4,6,5,7,1,2] => 001010 => [2,1,1,1,1] => 90
[3,4,6,5,7,2,1] => 001011 => [2,1,1,2] => 62
[3,4,6,7,1,2,5] => 000100 => [3,1,2] => 34
[3,4,6,7,1,5,2] => 000101 => [3,1,1,1] => 48
[3,4,6,7,2,1,5] => 000110 => [3,2,1] => 40
[3,4,6,7,2,5,1] => 000101 => [3,1,1,1] => 48
[3,4,6,7,5,1,2] => 000110 => [3,2,1] => 40
[3,4,6,7,5,2,1] => 000111 => [3,3] => 20
[3,4,7,1,2,5,6] => 001000 => [2,1,3] => 34
[3,4,7,1,2,6,5] => 001001 => [2,1,2,1] => 72
[3,4,7,1,5,2,6] => 001010 => [2,1,1,1,1] => 90
[3,4,7,1,5,6,2] => 001001 => [2,1,2,1] => 72
[3,4,7,1,6,2,5] => 001010 => [2,1,1,1,1] => 90
[3,4,7,1,6,5,2] => 001011 => [2,1,1,2] => 62
[3,4,7,2,1,5,6] => 001100 => [2,2,2] => 53
[3,4,7,2,1,6,5] => 001101 => [2,2,1,1] => 75
[3,4,7,2,5,1,6] => 001010 => [2,1,1,1,1] => 90
[3,4,7,2,5,6,1] => 001001 => [2,1,2,1] => 72
[3,4,7,2,6,1,5] => 001010 => [2,1,1,1,1] => 90
[3,4,7,2,6,5,1] => 001011 => [2,1,1,2] => 62
[3,4,7,5,1,2,6] => 001100 => [2,2,2] => 53
[3,4,7,5,1,6,2] => 001101 => [2,2,1,1] => 75
[3,4,7,5,2,1,6] => 001110 => [2,3,1] => 45
[3,4,7,5,2,6,1] => 001101 => [2,2,1,1] => 75
[3,4,7,5,6,1,2] => 001010 => [2,1,1,1,1] => 90
[3,4,7,5,6,2,1] => 001011 => [2,1,1,2] => 62
[3,4,7,6,1,2,5] => 001100 => [2,2,2] => 53
[3,4,7,6,1,5,2] => 001101 => [2,2,1,1] => 75
[3,4,7,6,2,1,5] => 001110 => [2,3,1] => 45
[3,4,7,6,2,5,1] => 001101 => [2,2,1,1] => 75
[3,4,7,6,5,1,2] => 001110 => [2,3,1] => 45
[3,4,7,6,5,2,1] => 001111 => [2,4] => 15
[3,5,1,2,4,6,7] => 010000 => [1,1,4] => 20
[3,5,1,2,4,7,6] => 010001 => [1,1,3,1] => 62
[3,5,1,2,6,4,7] => 010010 => [1,1,2,1,1] => 107
[3,5,1,2,6,7,4] => 010001 => [1,1,3,1] => 62
[3,5,1,2,7,4,6] => 010010 => [1,1,2,1,1] => 107
[3,5,1,2,7,6,4] => 010011 => [1,1,2,2] => 75
[3,5,1,4,2,6,7] => 010100 => [1,1,1,1,2] => 90
[3,5,1,4,2,7,6] => 010101 => [1,1,1,1,1,1] => 132
[3,5,1,4,6,2,7] => 010010 => [1,1,2,1,1] => 107
[3,5,1,4,6,7,2] => 010001 => [1,1,3,1] => 62
[3,5,1,4,7,2,6] => 010010 => [1,1,2,1,1] => 107
[3,5,1,4,7,6,2] => 010011 => [1,1,2,2] => 75
[3,5,1,6,2,4,7] => 010100 => [1,1,1,1,2] => 90
[3,5,1,6,2,7,4] => 010101 => [1,1,1,1,1,1] => 132
[3,5,1,6,4,2,7] => 010110 => [1,1,1,2,1] => 104
[3,5,1,6,4,7,2] => 010101 => [1,1,1,1,1,1] => 132
[3,5,1,6,7,2,4] => 010010 => [1,1,2,1,1] => 107
[3,5,1,6,7,4,2] => 010011 => [1,1,2,2] => 75
[3,5,1,7,2,4,6] => 010100 => [1,1,1,1,2] => 90
[3,5,1,7,2,6,4] => 010101 => [1,1,1,1,1,1] => 132
[3,5,1,7,4,2,6] => 010110 => [1,1,1,2,1] => 104
[3,5,1,7,4,6,2] => 010101 => [1,1,1,1,1,1] => 132
[3,5,1,7,6,2,4] => 010110 => [1,1,1,2,1] => 104
[3,5,1,7,6,4,2] => 010111 => [1,1,1,3] => 48
[3,5,2,1,4,6,7] => 011000 => [1,2,3] => 40
[3,5,2,1,4,7,6] => 011001 => [1,2,2,1] => 84
[3,5,2,1,6,4,7] => 011010 => [1,2,1,1,1] => 104
[3,5,2,1,6,7,4] => 011001 => [1,2,2,1] => 84
[3,5,2,1,7,4,6] => 011010 => [1,2,1,1,1] => 104
[3,5,2,1,7,6,4] => 011011 => [1,2,1,2] => 72
[3,5,2,4,1,6,7] => 010100 => [1,1,1,1,2] => 90
[3,5,2,4,1,7,6] => 010101 => [1,1,1,1,1,1] => 132
[3,5,2,4,6,1,7] => 010010 => [1,1,2,1,1] => 107
[3,5,2,4,6,7,1] => 010001 => [1,1,3,1] => 62
[3,5,2,4,7,1,6] => 010010 => [1,1,2,1,1] => 107
[3,5,2,4,7,6,1] => 010011 => [1,1,2,2] => 75
[3,5,2,6,1,4,7] => 010100 => [1,1,1,1,2] => 90
[3,5,2,6,1,7,4] => 010101 => [1,1,1,1,1,1] => 132
[3,5,2,6,4,1,7] => 010110 => [1,1,1,2,1] => 104
[3,5,2,6,4,7,1] => 010101 => [1,1,1,1,1,1] => 132
[3,5,2,6,7,1,4] => 010010 => [1,1,2,1,1] => 107
[3,5,2,6,7,4,1] => 010011 => [1,1,2,2] => 75
[3,5,2,7,1,4,6] => 010100 => [1,1,1,1,2] => 90
[3,5,2,7,1,6,4] => 010101 => [1,1,1,1,1,1] => 132
[3,5,2,7,4,1,6] => 010110 => [1,1,1,2,1] => 104
[3,5,2,7,4,6,1] => 010101 => [1,1,1,1,1,1] => 132
[3,5,2,7,6,1,4] => 010110 => [1,1,1,2,1] => 104
[3,5,2,7,6,4,1] => 010111 => [1,1,1,3] => 48
[3,5,4,1,2,6,7] => 011000 => [1,2,3] => 40
[3,5,4,1,2,7,6] => 011001 => [1,2,2,1] => 84
[3,5,4,1,6,2,7] => 011010 => [1,2,1,1,1] => 104
[3,5,4,1,6,7,2] => 011001 => [1,2,2,1] => 84
[3,5,4,1,7,2,6] => 011010 => [1,2,1,1,1] => 104
[3,5,4,1,7,6,2] => 011011 => [1,2,1,2] => 72
[3,5,4,2,1,6,7] => 011100 => [1,3,2] => 45
[3,5,4,2,1,7,6] => 011101 => [1,3,1,1] => 62
[3,5,4,2,6,1,7] => 011010 => [1,2,1,1,1] => 104
[3,5,4,2,6,7,1] => 011001 => [1,2,2,1] => 84
[3,5,4,2,7,1,6] => 011010 => [1,2,1,1,1] => 104
[3,5,4,2,7,6,1] => 011011 => [1,2,1,2] => 72
[3,5,4,6,1,2,7] => 010100 => [1,1,1,1,2] => 90
[3,5,4,6,1,7,2] => 010101 => [1,1,1,1,1,1] => 132
[3,5,4,6,2,1,7] => 010110 => [1,1,1,2,1] => 104
[3,5,4,6,2,7,1] => 010101 => [1,1,1,1,1,1] => 132
[3,5,4,6,7,1,2] => 010010 => [1,1,2,1,1] => 107
[3,5,4,6,7,2,1] => 010011 => [1,1,2,2] => 75
[3,5,4,7,1,2,6] => 010100 => [1,1,1,1,2] => 90
[3,5,4,7,1,6,2] => 010101 => [1,1,1,1,1,1] => 132
[3,5,4,7,2,1,6] => 010110 => [1,1,1,2,1] => 104
[3,5,4,7,2,6,1] => 010101 => [1,1,1,1,1,1] => 132
[3,5,4,7,6,1,2] => 010110 => [1,1,1,2,1] => 104
[3,5,4,7,6,2,1] => 010111 => [1,1,1,3] => 48
[3,5,6,1,2,4,7] => 001000 => [2,1,3] => 34
[3,5,6,1,2,7,4] => 001001 => [2,1,2,1] => 72
[3,5,6,1,4,2,7] => 001010 => [2,1,1,1,1] => 90
[3,5,6,1,4,7,2] => 001001 => [2,1,2,1] => 72
[3,5,6,1,7,2,4] => 001010 => [2,1,1,1,1] => 90
[3,5,6,1,7,4,2] => 001011 => [2,1,1,2] => 62
[3,5,6,2,1,4,7] => 001100 => [2,2,2] => 53
[3,5,6,2,1,7,4] => 001101 => [2,2,1,1] => 75
[3,5,6,2,4,1,7] => 001010 => [2,1,1,1,1] => 90
[3,5,6,2,4,7,1] => 001001 => [2,1,2,1] => 72
[3,5,6,2,7,1,4] => 001010 => [2,1,1,1,1] => 90
[3,5,6,2,7,4,1] => 001011 => [2,1,1,2] => 62
[3,5,6,4,1,2,7] => 001100 => [2,2,2] => 53
[3,5,6,4,1,7,2] => 001101 => [2,2,1,1] => 75
[3,5,6,4,2,1,7] => 001110 => [2,3,1] => 45
[3,5,6,4,2,7,1] => 001101 => [2,2,1,1] => 75
[3,5,6,4,7,1,2] => 001010 => [2,1,1,1,1] => 90
[3,5,6,4,7,2,1] => 001011 => [2,1,1,2] => 62
[3,5,6,7,1,2,4] => 000100 => [3,1,2] => 34
[3,5,6,7,1,4,2] => 000101 => [3,1,1,1] => 48
[3,5,6,7,2,1,4] => 000110 => [3,2,1] => 40
[3,5,6,7,2,4,1] => 000101 => [3,1,1,1] => 48
[3,5,6,7,4,1,2] => 000110 => [3,2,1] => 40
[3,5,6,7,4,2,1] => 000111 => [3,3] => 20
[3,5,7,1,2,4,6] => 001000 => [2,1,3] => 34
[3,5,7,1,2,6,4] => 001001 => [2,1,2,1] => 72
[3,5,7,1,4,2,6] => 001010 => [2,1,1,1,1] => 90
[3,5,7,1,4,6,2] => 001001 => [2,1,2,1] => 72
[3,5,7,1,6,2,4] => 001010 => [2,1,1,1,1] => 90
[3,5,7,1,6,4,2] => 001011 => [2,1,1,2] => 62
[3,5,7,2,1,4,6] => 001100 => [2,2,2] => 53
[3,5,7,2,1,6,4] => 001101 => [2,2,1,1] => 75
[3,5,7,2,4,1,6] => 001010 => [2,1,1,1,1] => 90
[3,5,7,2,4,6,1] => 001001 => [2,1,2,1] => 72
[3,5,7,2,6,1,4] => 001010 => [2,1,1,1,1] => 90
[3,5,7,2,6,4,1] => 001011 => [2,1,1,2] => 62
[3,5,7,4,1,2,6] => 001100 => [2,2,2] => 53
[3,5,7,4,1,6,2] => 001101 => [2,2,1,1] => 75
[3,5,7,4,2,1,6] => 001110 => [2,3,1] => 45
[3,5,7,4,2,6,1] => 001101 => [2,2,1,1] => 75
[3,5,7,4,6,1,2] => 001010 => [2,1,1,1,1] => 90
[3,5,7,4,6,2,1] => 001011 => [2,1,1,2] => 62
[3,5,7,6,1,2,4] => 001100 => [2,2,2] => 53
[3,5,7,6,1,4,2] => 001101 => [2,2,1,1] => 75
[3,5,7,6,2,1,4] => 001110 => [2,3,1] => 45
[3,5,7,6,2,4,1] => 001101 => [2,2,1,1] => 75
[3,5,7,6,4,1,2] => 001110 => [2,3,1] => 45
[3,5,7,6,4,2,1] => 001111 => [2,4] => 15
[3,6,1,2,4,5,7] => 010000 => [1,1,4] => 20
[3,6,1,2,4,7,5] => 010001 => [1,1,3,1] => 62
[3,6,1,2,5,4,7] => 010010 => [1,1,2,1,1] => 107
[3,6,1,2,5,7,4] => 010001 => [1,1,3,1] => 62
[3,6,1,2,7,4,5] => 010010 => [1,1,2,1,1] => 107
[3,6,1,2,7,5,4] => 010011 => [1,1,2,2] => 75
[3,6,1,4,2,5,7] => 010100 => [1,1,1,1,2] => 90
[3,6,1,4,2,7,5] => 010101 => [1,1,1,1,1,1] => 132
[3,6,1,4,5,2,7] => 010010 => [1,1,2,1,1] => 107
[3,6,1,4,5,7,2] => 010001 => [1,1,3,1] => 62
[3,6,1,4,7,2,5] => 010010 => [1,1,2,1,1] => 107
[3,6,1,4,7,5,2] => 010011 => [1,1,2,2] => 75
[3,6,1,5,2,4,7] => 010100 => [1,1,1,1,2] => 90
[3,6,1,5,2,7,4] => 010101 => [1,1,1,1,1,1] => 132
[3,6,1,5,4,2,7] => 010110 => [1,1,1,2,1] => 104
[3,6,1,5,4,7,2] => 010101 => [1,1,1,1,1,1] => 132
[3,6,1,5,7,2,4] => 010010 => [1,1,2,1,1] => 107
[3,6,1,5,7,4,2] => 010011 => [1,1,2,2] => 75
[3,6,1,7,2,4,5] => 010100 => [1,1,1,1,2] => 90
[3,6,1,7,2,5,4] => 010101 => [1,1,1,1,1,1] => 132
[3,6,1,7,4,2,5] => 010110 => [1,1,1,2,1] => 104
[3,6,1,7,4,5,2] => 010101 => [1,1,1,1,1,1] => 132
[3,6,1,7,5,2,4] => 010110 => [1,1,1,2,1] => 104
[3,6,1,7,5,4,2] => 010111 => [1,1,1,3] => 48
[3,6,2,1,4,5,7] => 011000 => [1,2,3] => 40
[3,6,2,1,4,7,5] => 011001 => [1,2,2,1] => 84
[3,6,2,1,5,4,7] => 011010 => [1,2,1,1,1] => 104
[3,6,2,1,5,7,4] => 011001 => [1,2,2,1] => 84
[3,6,2,1,7,4,5] => 011010 => [1,2,1,1,1] => 104
[3,6,2,1,7,5,4] => 011011 => [1,2,1,2] => 72
[3,6,2,4,1,5,7] => 010100 => [1,1,1,1,2] => 90
[3,6,2,4,1,7,5] => 010101 => [1,1,1,1,1,1] => 132
[3,6,2,4,5,1,7] => 010010 => [1,1,2,1,1] => 107
[3,6,2,4,5,7,1] => 010001 => [1,1,3,1] => 62
[3,6,2,4,7,1,5] => 010010 => [1,1,2,1,1] => 107
[3,6,2,4,7,5,1] => 010011 => [1,1,2,2] => 75
[3,6,2,5,1,4,7] => 010100 => [1,1,1,1,2] => 90
[3,6,2,5,1,7,4] => 010101 => [1,1,1,1,1,1] => 132
[3,6,2,5,4,1,7] => 010110 => [1,1,1,2,1] => 104
[3,6,2,5,4,7,1] => 010101 => [1,1,1,1,1,1] => 132
[3,6,2,5,7,1,4] => 010010 => [1,1,2,1,1] => 107
[3,6,2,5,7,4,1] => 010011 => [1,1,2,2] => 75
[3,6,2,7,1,4,5] => 010100 => [1,1,1,1,2] => 90
[3,6,2,7,1,5,4] => 010101 => [1,1,1,1,1,1] => 132
[3,6,2,7,4,1,5] => 010110 => [1,1,1,2,1] => 104
[3,6,2,7,4,5,1] => 010101 => [1,1,1,1,1,1] => 132
[3,6,2,7,5,1,4] => 010110 => [1,1,1,2,1] => 104
[3,6,2,7,5,4,1] => 010111 => [1,1,1,3] => 48
[3,6,4,1,2,5,7] => 011000 => [1,2,3] => 40
[3,6,4,1,2,7,5] => 011001 => [1,2,2,1] => 84
[3,6,4,1,5,2,7] => 011010 => [1,2,1,1,1] => 104
[3,6,4,1,5,7,2] => 011001 => [1,2,2,1] => 84
[3,6,4,1,7,2,5] => 011010 => [1,2,1,1,1] => 104
[3,6,4,1,7,5,2] => 011011 => [1,2,1,2] => 72
[3,6,4,2,1,5,7] => 011100 => [1,3,2] => 45
[3,6,4,2,1,7,5] => 011101 => [1,3,1,1] => 62
[3,6,4,2,5,1,7] => 011010 => [1,2,1,1,1] => 104
[3,6,4,2,5,7,1] => 011001 => [1,2,2,1] => 84
[3,6,4,2,7,1,5] => 011010 => [1,2,1,1,1] => 104
[3,6,4,2,7,5,1] => 011011 => [1,2,1,2] => 72
[3,6,4,5,1,2,7] => 010100 => [1,1,1,1,2] => 90
[3,6,4,5,1,7,2] => 010101 => [1,1,1,1,1,1] => 132
[3,6,4,5,2,1,7] => 010110 => [1,1,1,2,1] => 104
[3,6,4,5,2,7,1] => 010101 => [1,1,1,1,1,1] => 132
[3,6,4,5,7,1,2] => 010010 => [1,1,2,1,1] => 107
[3,6,4,5,7,2,1] => 010011 => [1,1,2,2] => 75
[3,6,4,7,1,2,5] => 010100 => [1,1,1,1,2] => 90
[3,6,4,7,1,5,2] => 010101 => [1,1,1,1,1,1] => 132
[3,6,4,7,2,1,5] => 010110 => [1,1,1,2,1] => 104
[3,6,4,7,2,5,1] => 010101 => [1,1,1,1,1,1] => 132
[3,6,4,7,5,1,2] => 010110 => [1,1,1,2,1] => 104
[3,6,4,7,5,2,1] => 010111 => [1,1,1,3] => 48
[3,6,5,1,2,4,7] => 011000 => [1,2,3] => 40
[3,6,5,1,2,7,4] => 011001 => [1,2,2,1] => 84
[3,6,5,1,4,2,7] => 011010 => [1,2,1,1,1] => 104
[3,6,5,1,4,7,2] => 011001 => [1,2,2,1] => 84
[3,6,5,1,7,2,4] => 011010 => [1,2,1,1,1] => 104
[3,6,5,1,7,4,2] => 011011 => [1,2,1,2] => 72
[3,6,5,2,1,4,7] => 011100 => [1,3,2] => 45
[3,6,5,2,1,7,4] => 011101 => [1,3,1,1] => 62
[3,6,5,2,4,1,7] => 011010 => [1,2,1,1,1] => 104
[3,6,5,2,4,7,1] => 011001 => [1,2,2,1] => 84
[3,6,5,2,7,1,4] => 011010 => [1,2,1,1,1] => 104
[3,6,5,2,7,4,1] => 011011 => [1,2,1,2] => 72
[3,6,5,4,1,2,7] => 011100 => [1,3,2] => 45
[3,6,5,4,1,7,2] => 011101 => [1,3,1,1] => 62
[3,6,5,4,2,1,7] => 011110 => [1,4,1] => 26
[3,6,5,4,2,7,1] => 011101 => [1,3,1,1] => 62
[3,6,5,4,7,1,2] => 011010 => [1,2,1,1,1] => 104
[3,6,5,4,7,2,1] => 011011 => [1,2,1,2] => 72
[3,6,5,7,1,2,4] => 010100 => [1,1,1,1,2] => 90
[3,6,5,7,1,4,2] => 010101 => [1,1,1,1,1,1] => 132
[3,6,5,7,2,1,4] => 010110 => [1,1,1,2,1] => 104
[3,6,5,7,2,4,1] => 010101 => [1,1,1,1,1,1] => 132
[3,6,5,7,4,1,2] => 010110 => [1,1,1,2,1] => 104
[3,6,5,7,4,2,1] => 010111 => [1,1,1,3] => 48
[3,6,7,1,2,4,5] => 001000 => [2,1,3] => 34
[3,6,7,1,2,5,4] => 001001 => [2,1,2,1] => 72
[3,6,7,1,4,2,5] => 001010 => [2,1,1,1,1] => 90
[3,6,7,1,4,5,2] => 001001 => [2,1,2,1] => 72
[3,6,7,1,5,2,4] => 001010 => [2,1,1,1,1] => 90
[3,6,7,1,5,4,2] => 001011 => [2,1,1,2] => 62
[3,6,7,2,1,4,5] => 001100 => [2,2,2] => 53
[3,6,7,2,1,5,4] => 001101 => [2,2,1,1] => 75
[3,6,7,2,4,1,5] => 001010 => [2,1,1,1,1] => 90
[3,6,7,2,4,5,1] => 001001 => [2,1,2,1] => 72
[3,6,7,2,5,1,4] => 001010 => [2,1,1,1,1] => 90
[3,6,7,2,5,4,1] => 001011 => [2,1,1,2] => 62
[3,6,7,4,1,2,5] => 001100 => [2,2,2] => 53
[3,6,7,4,1,5,2] => 001101 => [2,2,1,1] => 75
[3,6,7,4,2,1,5] => 001110 => [2,3,1] => 45
[3,6,7,4,2,5,1] => 001101 => [2,2,1,1] => 75
[3,6,7,4,5,1,2] => 001010 => [2,1,1,1,1] => 90
[3,6,7,4,5,2,1] => 001011 => [2,1,1,2] => 62
[3,6,7,5,1,2,4] => 001100 => [2,2,2] => 53
[3,6,7,5,1,4,2] => 001101 => [2,2,1,1] => 75
[3,6,7,5,2,1,4] => 001110 => [2,3,1] => 45
[3,6,7,5,2,4,1] => 001101 => [2,2,1,1] => 75
[3,6,7,5,4,1,2] => 001110 => [2,3,1] => 45
[3,6,7,5,4,2,1] => 001111 => [2,4] => 15
[3,7,1,2,4,5,6] => 010000 => [1,1,4] => 20
[3,7,1,2,4,6,5] => 010001 => [1,1,3,1] => 62
[3,7,1,2,5,4,6] => 010010 => [1,1,2,1,1] => 107
[3,7,1,2,5,6,4] => 010001 => [1,1,3,1] => 62
[3,7,1,2,6,4,5] => 010010 => [1,1,2,1,1] => 107
[3,7,1,2,6,5,4] => 010011 => [1,1,2,2] => 75
[3,7,1,4,2,5,6] => 010100 => [1,1,1,1,2] => 90
[3,7,1,4,2,6,5] => 010101 => [1,1,1,1,1,1] => 132
[3,7,1,4,5,2,6] => 010010 => [1,1,2,1,1] => 107
[3,7,1,4,5,6,2] => 010001 => [1,1,3,1] => 62
[3,7,1,4,6,2,5] => 010010 => [1,1,2,1,1] => 107
[3,7,1,4,6,5,2] => 010011 => [1,1,2,2] => 75
[3,7,1,5,2,4,6] => 010100 => [1,1,1,1,2] => 90
[3,7,1,5,2,6,4] => 010101 => [1,1,1,1,1,1] => 132
[3,7,1,5,4,2,6] => 010110 => [1,1,1,2,1] => 104
[3,7,1,5,4,6,2] => 010101 => [1,1,1,1,1,1] => 132
[3,7,1,5,6,2,4] => 010010 => [1,1,2,1,1] => 107
[3,7,1,5,6,4,2] => 010011 => [1,1,2,2] => 75
[3,7,1,6,2,4,5] => 010100 => [1,1,1,1,2] => 90
[3,7,1,6,2,5,4] => 010101 => [1,1,1,1,1,1] => 132
[3,7,1,6,4,2,5] => 010110 => [1,1,1,2,1] => 104
[3,7,1,6,4,5,2] => 010101 => [1,1,1,1,1,1] => 132
[3,7,1,6,5,2,4] => 010110 => [1,1,1,2,1] => 104
[3,7,1,6,5,4,2] => 010111 => [1,1,1,3] => 48
[3,7,2,1,4,5,6] => 011000 => [1,2,3] => 40
[3,7,2,1,4,6,5] => 011001 => [1,2,2,1] => 84
[3,7,2,1,5,4,6] => 011010 => [1,2,1,1,1] => 104
[3,7,2,1,5,6,4] => 011001 => [1,2,2,1] => 84
[3,7,2,1,6,4,5] => 011010 => [1,2,1,1,1] => 104
[3,7,2,1,6,5,4] => 011011 => [1,2,1,2] => 72
[3,7,2,4,1,5,6] => 010100 => [1,1,1,1,2] => 90
[3,7,2,4,1,6,5] => 010101 => [1,1,1,1,1,1] => 132
[3,7,2,4,5,1,6] => 010010 => [1,1,2,1,1] => 107
[3,7,2,4,5,6,1] => 010001 => [1,1,3,1] => 62
[3,7,2,4,6,1,5] => 010010 => [1,1,2,1,1] => 107
[3,7,2,4,6,5,1] => 010011 => [1,1,2,2] => 75
[3,7,2,5,1,4,6] => 010100 => [1,1,1,1,2] => 90
[3,7,2,5,1,6,4] => 010101 => [1,1,1,1,1,1] => 132
[3,7,2,5,4,1,6] => 010110 => [1,1,1,2,1] => 104
[3,7,2,5,4,6,1] => 010101 => [1,1,1,1,1,1] => 132
[3,7,2,5,6,1,4] => 010010 => [1,1,2,1,1] => 107
[3,7,2,5,6,4,1] => 010011 => [1,1,2,2] => 75
[3,7,2,6,1,4,5] => 010100 => [1,1,1,1,2] => 90
[3,7,2,6,1,5,4] => 010101 => [1,1,1,1,1,1] => 132
[3,7,2,6,4,1,5] => 010110 => [1,1,1,2,1] => 104
[3,7,2,6,4,5,1] => 010101 => [1,1,1,1,1,1] => 132
[3,7,2,6,5,1,4] => 010110 => [1,1,1,2,1] => 104
[3,7,2,6,5,4,1] => 010111 => [1,1,1,3] => 48
[3,7,4,1,2,5,6] => 011000 => [1,2,3] => 40
[3,7,4,1,2,6,5] => 011001 => [1,2,2,1] => 84
[3,7,4,1,5,2,6] => 011010 => [1,2,1,1,1] => 104
[3,7,4,1,5,6,2] => 011001 => [1,2,2,1] => 84
[3,7,4,1,6,2,5] => 011010 => [1,2,1,1,1] => 104
[3,7,4,1,6,5,2] => 011011 => [1,2,1,2] => 72
[3,7,4,2,1,5,6] => 011100 => [1,3,2] => 45
[3,7,4,2,1,6,5] => 011101 => [1,3,1,1] => 62
[3,7,4,2,5,1,6] => 011010 => [1,2,1,1,1] => 104
[3,7,4,2,5,6,1] => 011001 => [1,2,2,1] => 84
[3,7,4,2,6,1,5] => 011010 => [1,2,1,1,1] => 104
[3,7,4,2,6,5,1] => 011011 => [1,2,1,2] => 72
[3,7,4,5,1,2,6] => 010100 => [1,1,1,1,2] => 90
[3,7,4,5,1,6,2] => 010101 => [1,1,1,1,1,1] => 132
[3,7,4,5,2,1,6] => 010110 => [1,1,1,2,1] => 104
[3,7,4,5,2,6,1] => 010101 => [1,1,1,1,1,1] => 132
[3,7,4,5,6,1,2] => 010010 => [1,1,2,1,1] => 107
[3,7,4,5,6,2,1] => 010011 => [1,1,2,2] => 75
[3,7,4,6,1,2,5] => 010100 => [1,1,1,1,2] => 90
[3,7,4,6,1,5,2] => 010101 => [1,1,1,1,1,1] => 132
[3,7,4,6,2,1,5] => 010110 => [1,1,1,2,1] => 104
[3,7,4,6,2,5,1] => 010101 => [1,1,1,1,1,1] => 132
[3,7,4,6,5,1,2] => 010110 => [1,1,1,2,1] => 104
[3,7,4,6,5,2,1] => 010111 => [1,1,1,3] => 48
[3,7,5,1,2,4,6] => 011000 => [1,2,3] => 40
[3,7,5,1,2,6,4] => 011001 => [1,2,2,1] => 84
[3,7,5,1,4,2,6] => 011010 => [1,2,1,1,1] => 104
[3,7,5,1,4,6,2] => 011001 => [1,2,2,1] => 84
[3,7,5,1,6,2,4] => 011010 => [1,2,1,1,1] => 104
[3,7,5,1,6,4,2] => 011011 => [1,2,1,2] => 72
[3,7,5,2,1,4,6] => 011100 => [1,3,2] => 45
[3,7,5,2,1,6,4] => 011101 => [1,3,1,1] => 62
[3,7,5,2,4,1,6] => 011010 => [1,2,1,1,1] => 104
[3,7,5,2,4,6,1] => 011001 => [1,2,2,1] => 84
[3,7,5,2,6,1,4] => 011010 => [1,2,1,1,1] => 104
[3,7,5,2,6,4,1] => 011011 => [1,2,1,2] => 72
[3,7,5,4,1,2,6] => 011100 => [1,3,2] => 45
[3,7,5,4,1,6,2] => 011101 => [1,3,1,1] => 62
[3,7,5,4,2,1,6] => 011110 => [1,4,1] => 26
[3,7,5,4,2,6,1] => 011101 => [1,3,1,1] => 62
[3,7,5,4,6,1,2] => 011010 => [1,2,1,1,1] => 104
[3,7,5,4,6,2,1] => 011011 => [1,2,1,2] => 72
[3,7,5,6,1,2,4] => 010100 => [1,1,1,1,2] => 90
[3,7,5,6,1,4,2] => 010101 => [1,1,1,1,1,1] => 132
[3,7,5,6,2,1,4] => 010110 => [1,1,1,2,1] => 104
[3,7,5,6,2,4,1] => 010101 => [1,1,1,1,1,1] => 132
[3,7,5,6,4,1,2] => 010110 => [1,1,1,2,1] => 104
[3,7,5,6,4,2,1] => 010111 => [1,1,1,3] => 48
[3,7,6,1,2,4,5] => 011000 => [1,2,3] => 40
[3,7,6,1,2,5,4] => 011001 => [1,2,2,1] => 84
[3,7,6,1,4,2,5] => 011010 => [1,2,1,1,1] => 104
[3,7,6,1,4,5,2] => 011001 => [1,2,2,1] => 84
[3,7,6,1,5,2,4] => 011010 => [1,2,1,1,1] => 104
[3,7,6,1,5,4,2] => 011011 => [1,2,1,2] => 72
[3,7,6,2,1,4,5] => 011100 => [1,3,2] => 45
[3,7,6,2,1,5,4] => 011101 => [1,3,1,1] => 62
[3,7,6,2,4,1,5] => 011010 => [1,2,1,1,1] => 104
[3,7,6,2,4,5,1] => 011001 => [1,2,2,1] => 84
[3,7,6,2,5,1,4] => 011010 => [1,2,1,1,1] => 104
[3,7,6,2,5,4,1] => 011011 => [1,2,1,2] => 72
[3,7,6,4,1,2,5] => 011100 => [1,3,2] => 45
[3,7,6,4,1,5,2] => 011101 => [1,3,1,1] => 62
[3,7,6,4,2,1,5] => 011110 => [1,4,1] => 26
[3,7,6,4,2,5,1] => 011101 => [1,3,1,1] => 62
[3,7,6,4,5,1,2] => 011010 => [1,2,1,1,1] => 104
[3,7,6,4,5,2,1] => 011011 => [1,2,1,2] => 72
[3,7,6,5,1,2,4] => 011100 => [1,3,2] => 45
[3,7,6,5,1,4,2] => 011101 => [1,3,1,1] => 62
[3,7,6,5,2,1,4] => 011110 => [1,4,1] => 26
[3,7,6,5,2,4,1] => 011101 => [1,3,1,1] => 62
[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] => 62
[4,1,2,3,6,7,5] => 100001 => [1,4,1] => 26
[4,1,2,3,7,5,6] => 100010 => [1,3,1,1] => 62
[4,1,2,3,7,6,5] => 100011 => [1,3,2] => 45
[4,1,2,5,3,6,7] => 100100 => [1,2,1,2] => 72
[4,1,2,5,3,7,6] => 100101 => [1,2,1,1,1] => 104
[4,1,2,5,6,3,7] => 100010 => [1,3,1,1] => 62
[4,1,2,5,6,7,3] => 100001 => [1,4,1] => 26
[4,1,2,5,7,3,6] => 100010 => [1,3,1,1] => 62
[4,1,2,5,7,6,3] => 100011 => [1,3,2] => 45
[4,1,2,6,3,5,7] => 100100 => [1,2,1,2] => 72
[4,1,2,6,3,7,5] => 100101 => [1,2,1,1,1] => 104
[4,1,2,6,5,3,7] => 100110 => [1,2,2,1] => 84
[4,1,2,6,5,7,3] => 100101 => [1,2,1,1,1] => 104
[4,1,2,6,7,3,5] => 100010 => [1,3,1,1] => 62
[4,1,2,6,7,5,3] => 100011 => [1,3,2] => 45
[4,1,2,7,3,5,6] => 100100 => [1,2,1,2] => 72
[4,1,2,7,3,6,5] => 100101 => [1,2,1,1,1] => 104
[4,1,2,7,5,3,6] => 100110 => [1,2,2,1] => 84
[4,1,2,7,5,6,3] => 100101 => [1,2,1,1,1] => 104
[4,1,2,7,6,3,5] => 100110 => [1,2,2,1] => 84
[4,1,2,7,6,5,3] => 100111 => [1,2,3] => 40
[4,1,3,2,5,6,7] => 101000 => [1,1,1,3] => 48
[4,1,3,2,5,7,6] => 101001 => [1,1,1,2,1] => 104
[4,1,3,2,6,5,7] => 101010 => [1,1,1,1,1,1] => 132
[4,1,3,2,6,7,5] => 101001 => [1,1,1,2,1] => 104
[4,1,3,2,7,5,6] => 101010 => [1,1,1,1,1,1] => 132
[4,1,3,2,7,6,5] => 101011 => [1,1,1,1,2] => 90
[4,1,3,5,2,6,7] => 100100 => [1,2,1,2] => 72
[4,1,3,5,2,7,6] => 100101 => [1,2,1,1,1] => 104
[4,1,3,5,6,2,7] => 100010 => [1,3,1,1] => 62
[4,1,3,5,6,7,2] => 100001 => [1,4,1] => 26
[4,1,3,5,7,2,6] => 100010 => [1,3,1,1] => 62
[4,1,3,5,7,6,2] => 100011 => [1,3,2] => 45
[4,1,3,6,2,5,7] => 100100 => [1,2,1,2] => 72
[4,1,3,6,2,7,5] => 100101 => [1,2,1,1,1] => 104
[4,1,3,6,5,2,7] => 100110 => [1,2,2,1] => 84
[4,1,3,6,5,7,2] => 100101 => [1,2,1,1,1] => 104
[4,1,3,6,7,2,5] => 100010 => [1,3,1,1] => 62
[4,1,3,6,7,5,2] => 100011 => [1,3,2] => 45
[4,1,3,7,2,5,6] => 100100 => [1,2,1,2] => 72
[4,1,3,7,2,6,5] => 100101 => [1,2,1,1,1] => 104
[4,1,3,7,5,2,6] => 100110 => [1,2,2,1] => 84
[4,1,3,7,5,6,2] => 100101 => [1,2,1,1,1] => 104
[4,1,3,7,6,2,5] => 100110 => [1,2,2,1] => 84
[4,1,3,7,6,5,2] => 100111 => [1,2,3] => 40
[4,1,5,2,3,6,7] => 101000 => [1,1,1,3] => 48
[4,1,5,2,3,7,6] => 101001 => [1,1,1,2,1] => 104
[4,1,5,2,6,3,7] => 101010 => [1,1,1,1,1,1] => 132
[4,1,5,2,6,7,3] => 101001 => [1,1,1,2,1] => 104
[4,1,5,2,7,3,6] => 101010 => [1,1,1,1,1,1] => 132
[4,1,5,2,7,6,3] => 101011 => [1,1,1,1,2] => 90
[4,1,5,3,2,6,7] => 101100 => [1,1,2,2] => 75
[4,1,5,3,2,7,6] => 101101 => [1,1,2,1,1] => 107
[4,1,5,3,6,2,7] => 101010 => [1,1,1,1,1,1] => 132
[4,1,5,3,6,7,2] => 101001 => [1,1,1,2,1] => 104
[4,1,5,3,7,2,6] => 101010 => [1,1,1,1,1,1] => 132
[4,1,5,3,7,6,2] => 101011 => [1,1,1,1,2] => 90
[4,1,5,6,2,3,7] => 100100 => [1,2,1,2] => 72
[4,1,5,6,2,7,3] => 100101 => [1,2,1,1,1] => 104
[4,1,5,6,3,2,7] => 100110 => [1,2,2,1] => 84
[4,1,5,6,3,7,2] => 100101 => [1,2,1,1,1] => 104
[4,1,5,6,7,2,3] => 100010 => [1,3,1,1] => 62
[4,1,5,6,7,3,2] => 100011 => [1,3,2] => 45
[4,1,5,7,2,3,6] => 100100 => [1,2,1,2] => 72
[4,1,5,7,2,6,3] => 100101 => [1,2,1,1,1] => 104
[4,1,5,7,3,2,6] => 100110 => [1,2,2,1] => 84
[4,1,5,7,3,6,2] => 100101 => [1,2,1,1,1] => 104
[4,1,5,7,6,2,3] => 100110 => [1,2,2,1] => 84
[4,1,5,7,6,3,2] => 100111 => [1,2,3] => 40
[4,1,6,2,3,5,7] => 101000 => [1,1,1,3] => 48
[4,1,6,2,3,7,5] => 101001 => [1,1,1,2,1] => 104
[4,1,6,2,5,3,7] => 101010 => [1,1,1,1,1,1] => 132
[4,1,6,2,5,7,3] => 101001 => [1,1,1,2,1] => 104
[4,1,6,2,7,3,5] => 101010 => [1,1,1,1,1,1] => 132
[4,1,6,2,7,5,3] => 101011 => [1,1,1,1,2] => 90
[4,1,6,3,2,5,7] => 101100 => [1,1,2,2] => 75
[4,1,6,3,2,7,5] => 101101 => [1,1,2,1,1] => 107
[4,1,6,3,5,2,7] => 101010 => [1,1,1,1,1,1] => 132
[4,1,6,3,5,7,2] => 101001 => [1,1,1,2,1] => 104
[4,1,6,3,7,2,5] => 101010 => [1,1,1,1,1,1] => 132
[4,1,6,3,7,5,2] => 101011 => [1,1,1,1,2] => 90
[4,1,6,5,2,3,7] => 101100 => [1,1,2,2] => 75
[4,1,6,5,2,7,3] => 101101 => [1,1,2,1,1] => 107
[4,1,6,5,3,2,7] => 101110 => [1,1,3,1] => 62
[4,1,6,5,3,7,2] => 101101 => [1,1,2,1,1] => 107
[4,1,6,5,7,2,3] => 101010 => [1,1,1,1,1,1] => 132
[4,1,6,5,7,3,2] => 101011 => [1,1,1,1,2] => 90
[4,1,6,7,2,3,5] => 100100 => [1,2,1,2] => 72
[4,1,6,7,2,5,3] => 100101 => [1,2,1,1,1] => 104
[4,1,6,7,3,2,5] => 100110 => [1,2,2,1] => 84
[4,1,6,7,3,5,2] => 100101 => [1,2,1,1,1] => 104
[4,1,6,7,5,2,3] => 100110 => [1,2,2,1] => 84
[4,1,6,7,5,3,2] => 100111 => [1,2,3] => 40
[4,1,7,2,3,5,6] => 101000 => [1,1,1,3] => 48
[4,1,7,2,3,6,5] => 101001 => [1,1,1,2,1] => 104
[4,1,7,2,5,3,6] => 101010 => [1,1,1,1,1,1] => 132
[4,1,7,2,5,6,3] => 101001 => [1,1,1,2,1] => 104
[4,1,7,2,6,3,5] => 101010 => [1,1,1,1,1,1] => 132
[4,1,7,2,6,5,3] => 101011 => [1,1,1,1,2] => 90
[4,1,7,3,2,5,6] => 101100 => [1,1,2,2] => 75
[4,1,7,3,2,6,5] => 101101 => [1,1,2,1,1] => 107
[4,1,7,3,5,2,6] => 101010 => [1,1,1,1,1,1] => 132
[4,1,7,3,5,6,2] => 101001 => [1,1,1,2,1] => 104
[4,1,7,3,6,2,5] => 101010 => [1,1,1,1,1,1] => 132
[4,1,7,3,6,5,2] => 101011 => [1,1,1,1,2] => 90
[4,1,7,5,2,3,6] => 101100 => [1,1,2,2] => 75
[4,1,7,5,2,6,3] => 101101 => [1,1,2,1,1] => 107
[4,1,7,5,3,2,6] => 101110 => [1,1,3,1] => 62
[4,1,7,5,3,6,2] => 101101 => [1,1,2,1,1] => 107
[4,1,7,5,6,2,3] => 101010 => [1,1,1,1,1,1] => 132
[4,1,7,5,6,3,2] => 101011 => [1,1,1,1,2] => 90
[4,1,7,6,2,3,5] => 101100 => [1,1,2,2] => 75
[4,1,7,6,2,5,3] => 101101 => [1,1,2,1,1] => 107
[4,1,7,6,3,2,5] => 101110 => [1,1,3,1] => 62
[4,1,7,6,3,5,2] => 101101 => [1,1,2,1,1] => 107
[4,1,7,6,5,2,3] => 101110 => [1,1,3,1] => 62
[4,1,7,6,5,3,2] => 101111 => [1,1,4] => 20
[4,2,1,3,5,6,7] => 110000 => [2,4] => 15
[4,2,1,3,5,7,6] => 110001 => [2,3,1] => 45
[4,2,1,3,6,5,7] => 110010 => [2,2,1,1] => 75
[4,2,1,3,6,7,5] => 110001 => [2,3,1] => 45
[4,2,1,3,7,5,6] => 110010 => [2,2,1,1] => 75
[4,2,1,3,7,6,5] => 110011 => [2,2,2] => 53
[4,2,1,5,3,6,7] => 110100 => [2,1,1,2] => 62
[4,2,1,5,3,7,6] => 110101 => [2,1,1,1,1] => 90
[4,2,1,5,6,3,7] => 110010 => [2,2,1,1] => 75
[4,2,1,5,6,7,3] => 110001 => [2,3,1] => 45
[4,2,1,5,7,3,6] => 110010 => [2,2,1,1] => 75
[4,2,1,5,7,6,3] => 110011 => [2,2,2] => 53
[4,2,1,6,3,5,7] => 110100 => [2,1,1,2] => 62
[4,2,1,6,3,7,5] => 110101 => [2,1,1,1,1] => 90
[4,2,1,6,5,3,7] => 110110 => [2,1,2,1] => 72
[4,2,1,6,5,7,3] => 110101 => [2,1,1,1,1] => 90
[4,2,1,6,7,3,5] => 110010 => [2,2,1,1] => 75
[4,2,1,6,7,5,3] => 110011 => [2,2,2] => 53
[4,2,1,7,3,5,6] => 110100 => [2,1,1,2] => 62
[4,2,1,7,3,6,5] => 110101 => [2,1,1,1,1] => 90
[4,2,1,7,5,3,6] => 110110 => [2,1,2,1] => 72
[4,2,1,7,5,6,3] => 110101 => [2,1,1,1,1] => 90
[4,2,1,7,6,3,5] => 110110 => [2,1,2,1] => 72
[4,2,1,7,6,5,3] => 110111 => [2,1,3] => 34
[4,2,3,1,5,6,7] => 101000 => [1,1,1,3] => 48
[4,2,3,1,5,7,6] => 101001 => [1,1,1,2,1] => 104
[4,2,3,1,6,5,7] => 101010 => [1,1,1,1,1,1] => 132
[4,2,3,1,6,7,5] => 101001 => [1,1,1,2,1] => 104
[4,2,3,1,7,5,6] => 101010 => [1,1,1,1,1,1] => 132
[4,2,3,1,7,6,5] => 101011 => [1,1,1,1,2] => 90
[4,2,3,5,1,6,7] => 100100 => [1,2,1,2] => 72
[4,2,3,5,1,7,6] => 100101 => [1,2,1,1,1] => 104
[4,2,3,5,6,1,7] => 100010 => [1,3,1,1] => 62
[4,2,3,5,6,7,1] => 100001 => [1,4,1] => 26
[4,2,3,5,7,1,6] => 100010 => [1,3,1,1] => 62
[4,2,3,5,7,6,1] => 100011 => [1,3,2] => 45
[4,2,3,6,1,5,7] => 100100 => [1,2,1,2] => 72
[4,2,3,6,1,7,5] => 100101 => [1,2,1,1,1] => 104
[4,2,3,6,5,1,7] => 100110 => [1,2,2,1] => 84
[4,2,3,6,5,7,1] => 100101 => [1,2,1,1,1] => 104
[4,2,3,6,7,1,5] => 100010 => [1,3,1,1] => 62
[4,2,3,6,7,5,1] => 100011 => [1,3,2] => 45
[4,2,3,7,1,5,6] => 100100 => [1,2,1,2] => 72
[4,2,3,7,1,6,5] => 100101 => [1,2,1,1,1] => 104
[4,2,3,7,5,1,6] => 100110 => [1,2,2,1] => 84
[4,2,3,7,5,6,1] => 100101 => [1,2,1,1,1] => 104
[4,2,3,7,6,1,5] => 100110 => [1,2,2,1] => 84
[4,2,3,7,6,5,1] => 100111 => [1,2,3] => 40
[4,2,5,1,3,6,7] => 101000 => [1,1,1,3] => 48
[4,2,5,1,3,7,6] => 101001 => [1,1,1,2,1] => 104
[4,2,5,1,6,3,7] => 101010 => [1,1,1,1,1,1] => 132
[4,2,5,1,6,7,3] => 101001 => [1,1,1,2,1] => 104
[4,2,5,1,7,3,6] => 101010 => [1,1,1,1,1,1] => 132
[4,2,5,1,7,6,3] => 101011 => [1,1,1,1,2] => 90
[4,2,5,3,1,6,7] => 101100 => [1,1,2,2] => 75
[4,2,5,3,1,7,6] => 101101 => [1,1,2,1,1] => 107
[4,2,5,3,6,1,7] => 101010 => [1,1,1,1,1,1] => 132
[4,2,5,3,6,7,1] => 101001 => [1,1,1,2,1] => 104
[4,2,5,3,7,1,6] => 101010 => [1,1,1,1,1,1] => 132
[4,2,5,3,7,6,1] => 101011 => [1,1,1,1,2] => 90
[4,2,5,6,1,3,7] => 100100 => [1,2,1,2] => 72
[4,2,5,6,1,7,3] => 100101 => [1,2,1,1,1] => 104
[4,2,5,6,3,1,7] => 100110 => [1,2,2,1] => 84
[4,2,5,6,3,7,1] => 100101 => [1,2,1,1,1] => 104
[4,2,5,6,7,1,3] => 100010 => [1,3,1,1] => 62
[4,2,5,6,7,3,1] => 100011 => [1,3,2] => 45
[4,2,5,7,1,3,6] => 100100 => [1,2,1,2] => 72
[4,2,5,7,1,6,3] => 100101 => [1,2,1,1,1] => 104
[4,2,5,7,3,1,6] => 100110 => [1,2,2,1] => 84
[4,2,5,7,3,6,1] => 100101 => [1,2,1,1,1] => 104
[4,2,5,7,6,1,3] => 100110 => [1,2,2,1] => 84
[4,2,5,7,6,3,1] => 100111 => [1,2,3] => 40
[4,2,6,1,3,5,7] => 101000 => [1,1,1,3] => 48
[4,2,6,1,3,7,5] => 101001 => [1,1,1,2,1] => 104
[4,2,6,1,5,3,7] => 101010 => [1,1,1,1,1,1] => 132
[4,2,6,1,5,7,3] => 101001 => [1,1,1,2,1] => 104
[4,2,6,1,7,3,5] => 101010 => [1,1,1,1,1,1] => 132
[4,2,6,1,7,5,3] => 101011 => [1,1,1,1,2] => 90
[4,2,6,3,1,5,7] => 101100 => [1,1,2,2] => 75
[4,2,6,3,1,7,5] => 101101 => [1,1,2,1,1] => 107
[4,2,6,3,5,1,7] => 101010 => [1,1,1,1,1,1] => 132
[4,2,6,3,5,7,1] => 101001 => [1,1,1,2,1] => 104
[4,2,6,3,7,1,5] => 101010 => [1,1,1,1,1,1] => 132
[4,2,6,3,7,5,1] => 101011 => [1,1,1,1,2] => 90
[4,2,6,5,1,3,7] => 101100 => [1,1,2,2] => 75
[4,2,6,5,1,7,3] => 101101 => [1,1,2,1,1] => 107
[4,2,6,5,3,1,7] => 101110 => [1,1,3,1] => 62
[4,2,6,5,3,7,1] => 101101 => [1,1,2,1,1] => 107
[4,2,6,5,7,1,3] => 101010 => [1,1,1,1,1,1] => 132
[4,2,6,5,7,3,1] => 101011 => [1,1,1,1,2] => 90
[4,2,6,7,1,3,5] => 100100 => [1,2,1,2] => 72
[4,2,6,7,1,5,3] => 100101 => [1,2,1,1,1] => 104
[4,2,6,7,3,1,5] => 100110 => [1,2,2,1] => 84
[4,2,6,7,3,5,1] => 100101 => [1,2,1,1,1] => 104
[4,2,6,7,5,1,3] => 100110 => [1,2,2,1] => 84
[4,2,6,7,5,3,1] => 100111 => [1,2,3] => 40
[4,2,7,1,3,5,6] => 101000 => [1,1,1,3] => 48
[4,2,7,1,3,6,5] => 101001 => [1,1,1,2,1] => 104
[4,2,7,1,5,3,6] => 101010 => [1,1,1,1,1,1] => 132
[4,2,7,1,5,6,3] => 101001 => [1,1,1,2,1] => 104
[4,2,7,1,6,3,5] => 101010 => [1,1,1,1,1,1] => 132
[4,2,7,1,6,5,3] => 101011 => [1,1,1,1,2] => 90
[4,2,7,3,1,5,6] => 101100 => [1,1,2,2] => 75
[4,2,7,3,1,6,5] => 101101 => [1,1,2,1,1] => 107
[4,2,7,3,5,1,6] => 101010 => [1,1,1,1,1,1] => 132
[4,2,7,3,5,6,1] => 101001 => [1,1,1,2,1] => 104
[4,2,7,3,6,1,5] => 101010 => [1,1,1,1,1,1] => 132
[4,2,7,3,6,5,1] => 101011 => [1,1,1,1,2] => 90
[4,2,7,5,1,3,6] => 101100 => [1,1,2,2] => 75
[4,2,7,5,1,6,3] => 101101 => [1,1,2,1,1] => 107
[4,2,7,5,3,1,6] => 101110 => [1,1,3,1] => 62
[4,2,7,5,3,6,1] => 101101 => [1,1,2,1,1] => 107
[4,2,7,5,6,1,3] => 101010 => [1,1,1,1,1,1] => 132
[4,2,7,5,6,3,1] => 101011 => [1,1,1,1,2] => 90
[4,2,7,6,1,3,5] => 101100 => [1,1,2,2] => 75
[4,2,7,6,1,5,3] => 101101 => [1,1,2,1,1] => 107
[4,2,7,6,3,1,5] => 101110 => [1,1,3,1] => 62
[4,2,7,6,3,5,1] => 101101 => [1,1,2,1,1] => 107
[4,2,7,6,5,1,3] => 101110 => [1,1,3,1] => 62
[4,2,7,6,5,3,1] => 101111 => [1,1,4] => 20
[4,3,1,2,5,6,7] => 110000 => [2,4] => 15
[4,3,1,2,5,7,6] => 110001 => [2,3,1] => 45
[4,3,1,2,6,5,7] => 110010 => [2,2,1,1] => 75
[4,3,1,2,6,7,5] => 110001 => [2,3,1] => 45
[4,3,1,2,7,5,6] => 110010 => [2,2,1,1] => 75
[4,3,1,2,7,6,5] => 110011 => [2,2,2] => 53
[4,3,1,5,2,6,7] => 110100 => [2,1,1,2] => 62
[4,3,1,5,2,7,6] => 110101 => [2,1,1,1,1] => 90
[4,3,1,5,6,2,7] => 110010 => [2,2,1,1] => 75
[4,3,1,5,6,7,2] => 110001 => [2,3,1] => 45
[4,3,1,5,7,2,6] => 110010 => [2,2,1,1] => 75
[4,3,1,5,7,6,2] => 110011 => [2,2,2] => 53
[4,3,1,6,2,5,7] => 110100 => [2,1,1,2] => 62
[4,3,1,6,2,7,5] => 110101 => [2,1,1,1,1] => 90
[4,3,1,6,5,2,7] => 110110 => [2,1,2,1] => 72
[4,3,1,6,5,7,2] => 110101 => [2,1,1,1,1] => 90
[4,3,1,6,7,2,5] => 110010 => [2,2,1,1] => 75
[4,3,1,6,7,5,2] => 110011 => [2,2,2] => 53
[4,3,1,7,2,5,6] => 110100 => [2,1,1,2] => 62
[4,3,1,7,2,6,5] => 110101 => [2,1,1,1,1] => 90
[4,3,1,7,5,2,6] => 110110 => [2,1,2,1] => 72
[4,3,1,7,5,6,2] => 110101 => [2,1,1,1,1] => 90
[4,3,1,7,6,2,5] => 110110 => [2,1,2,1] => 72
[4,3,1,7,6,5,2] => 110111 => [2,1,3] => 34
[4,3,2,1,5,6,7] => 111000 => [3,3] => 20
[4,3,2,1,5,7,6] => 111001 => [3,2,1] => 40
[4,3,2,1,6,5,7] => 111010 => [3,1,1,1] => 48
[4,3,2,1,6,7,5] => 111001 => [3,2,1] => 40
[4,3,2,1,7,5,6] => 111010 => [3,1,1,1] => 48
[4,3,2,1,7,6,5] => 111011 => [3,1,2] => 34
[4,3,2,5,1,6,7] => 110100 => [2,1,1,2] => 62
[4,3,2,5,1,7,6] => 110101 => [2,1,1,1,1] => 90
[4,3,2,5,6,1,7] => 110010 => [2,2,1,1] => 75
[4,3,2,5,6,7,1] => 110001 => [2,3,1] => 45
[4,3,2,5,7,1,6] => 110010 => [2,2,1,1] => 75
[4,3,2,5,7,6,1] => 110011 => [2,2,2] => 53
[4,3,2,6,1,5,7] => 110100 => [2,1,1,2] => 62
[4,3,2,6,1,7,5] => 110101 => [2,1,1,1,1] => 90
[4,3,2,6,5,1,7] => 110110 => [2,1,2,1] => 72
[4,3,2,6,5,7,1] => 110101 => [2,1,1,1,1] => 90
[4,3,2,6,7,1,5] => 110010 => [2,2,1,1] => 75
[4,3,2,6,7,5,1] => 110011 => [2,2,2] => 53
[4,3,2,7,1,5,6] => 110100 => [2,1,1,2] => 62
[4,3,2,7,1,6,5] => 110101 => [2,1,1,1,1] => 90
[4,3,2,7,5,1,6] => 110110 => [2,1,2,1] => 72
[4,3,2,7,5,6,1] => 110101 => [2,1,1,1,1] => 90
[4,3,2,7,6,1,5] => 110110 => [2,1,2,1] => 72
[4,3,2,7,6,5,1] => 110111 => [2,1,3] => 34
[4,3,5,1,2,6,7] => 101000 => [1,1,1,3] => 48
[4,3,5,1,2,7,6] => 101001 => [1,1,1,2,1] => 104
[4,3,5,1,6,2,7] => 101010 => [1,1,1,1,1,1] => 132
[4,3,5,1,6,7,2] => 101001 => [1,1,1,2,1] => 104
[4,3,5,1,7,2,6] => 101010 => [1,1,1,1,1,1] => 132
[4,3,5,1,7,6,2] => 101011 => [1,1,1,1,2] => 90
[4,3,5,2,1,6,7] => 101100 => [1,1,2,2] => 75
[4,3,5,2,1,7,6] => 101101 => [1,1,2,1,1] => 107
[4,3,5,2,6,1,7] => 101010 => [1,1,1,1,1,1] => 132
[4,3,5,2,6,7,1] => 101001 => [1,1,1,2,1] => 104
[4,3,5,2,7,1,6] => 101010 => [1,1,1,1,1,1] => 132
[4,3,5,2,7,6,1] => 101011 => [1,1,1,1,2] => 90
[4,3,5,6,1,2,7] => 100100 => [1,2,1,2] => 72
[4,3,5,6,1,7,2] => 100101 => [1,2,1,1,1] => 104
[4,3,5,6,2,1,7] => 100110 => [1,2,2,1] => 84
[4,3,5,6,2,7,1] => 100101 => [1,2,1,1,1] => 104
[4,3,5,6,7,1,2] => 100010 => [1,3,1,1] => 62
[4,3,5,6,7,2,1] => 100011 => [1,3,2] => 45
[4,3,5,7,1,2,6] => 100100 => [1,2,1,2] => 72
[4,3,5,7,1,6,2] => 100101 => [1,2,1,1,1] => 104
[4,3,5,7,2,1,6] => 100110 => [1,2,2,1] => 84
[4,3,5,7,2,6,1] => 100101 => [1,2,1,1,1] => 104
[4,3,5,7,6,1,2] => 100110 => [1,2,2,1] => 84
[4,3,5,7,6,2,1] => 100111 => [1,2,3] => 40
[4,3,6,1,2,5,7] => 101000 => [1,1,1,3] => 48
[4,3,6,1,2,7,5] => 101001 => [1,1,1,2,1] => 104
[4,3,6,1,5,2,7] => 101010 => [1,1,1,1,1,1] => 132
[4,3,6,1,5,7,2] => 101001 => [1,1,1,2,1] => 104
[4,3,6,1,7,2,5] => 101010 => [1,1,1,1,1,1] => 132
[4,3,6,1,7,5,2] => 101011 => [1,1,1,1,2] => 90
[4,3,6,2,1,5,7] => 101100 => [1,1,2,2] => 75
[4,3,6,2,1,7,5] => 101101 => [1,1,2,1,1] => 107
[4,3,6,2,5,1,7] => 101010 => [1,1,1,1,1,1] => 132
[4,3,6,2,5,7,1] => 101001 => [1,1,1,2,1] => 104
[4,3,6,2,7,1,5] => 101010 => [1,1,1,1,1,1] => 132
[4,3,6,2,7,5,1] => 101011 => [1,1,1,1,2] => 90
[4,3,6,5,1,2,7] => 101100 => [1,1,2,2] => 75
[4,3,6,5,1,7,2] => 101101 => [1,1,2,1,1] => 107
[4,3,6,5,2,1,7] => 101110 => [1,1,3,1] => 62
[4,3,6,5,2,7,1] => 101101 => [1,1,2,1,1] => 107
[4,3,6,5,7,1,2] => 101010 => [1,1,1,1,1,1] => 132
[4,3,6,5,7,2,1] => 101011 => [1,1,1,1,2] => 90
[4,3,6,7,1,2,5] => 100100 => [1,2,1,2] => 72
[4,3,6,7,1,5,2] => 100101 => [1,2,1,1,1] => 104
[4,3,6,7,2,1,5] => 100110 => [1,2,2,1] => 84
[4,3,6,7,2,5,1] => 100101 => [1,2,1,1,1] => 104
[4,3,6,7,5,1,2] => 100110 => [1,2,2,1] => 84
[4,3,6,7,5,2,1] => 100111 => [1,2,3] => 40
[4,3,7,1,2,5,6] => 101000 => [1,1,1,3] => 48
[4,3,7,1,2,6,5] => 101001 => [1,1,1,2,1] => 104
[4,3,7,1,5,2,6] => 101010 => [1,1,1,1,1,1] => 132
[4,3,7,1,5,6,2] => 101001 => [1,1,1,2,1] => 104
[4,3,7,1,6,2,5] => 101010 => [1,1,1,1,1,1] => 132
[4,3,7,1,6,5,2] => 101011 => [1,1,1,1,2] => 90
[4,3,7,2,1,5,6] => 101100 => [1,1,2,2] => 75
[4,3,7,2,1,6,5] => 101101 => [1,1,2,1,1] => 107
[4,3,7,2,5,1,6] => 101010 => [1,1,1,1,1,1] => 132
[4,3,7,2,5,6,1] => 101001 => [1,1,1,2,1] => 104
[4,3,7,2,6,1,5] => 101010 => [1,1,1,1,1,1] => 132
[4,3,7,2,6,5,1] => 101011 => [1,1,1,1,2] => 90
[4,3,7,5,1,2,6] => 101100 => [1,1,2,2] => 75
[4,3,7,5,1,6,2] => 101101 => [1,1,2,1,1] => 107
[4,3,7,5,2,1,6] => 101110 => [1,1,3,1] => 62
[4,3,7,5,2,6,1] => 101101 => [1,1,2,1,1] => 107
[4,3,7,5,6,1,2] => 101010 => [1,1,1,1,1,1] => 132
[4,3,7,5,6,2,1] => 101011 => [1,1,1,1,2] => 90
[4,3,7,6,1,2,5] => 101100 => [1,1,2,2] => 75
[4,3,7,6,1,5,2] => 101101 => [1,1,2,1,1] => 107
[4,3,7,6,2,1,5] => 101110 => [1,1,3,1] => 62
[4,3,7,6,2,5,1] => 101101 => [1,1,2,1,1] => 107
[4,3,7,6,5,1,2] => 101110 => [1,1,3,1] => 62
[4,3,7,6,5,2,1] => 101111 => [1,1,4] => 20
[4,5,1,2,3,6,7] => 010000 => [1,1,4] => 20
[4,5,1,2,3,7,6] => 010001 => [1,1,3,1] => 62
[4,5,1,2,6,3,7] => 010010 => [1,1,2,1,1] => 107
[4,5,1,2,6,7,3] => 010001 => [1,1,3,1] => 62
[4,5,1,2,7,3,6] => 010010 => [1,1,2,1,1] => 107
[4,5,1,2,7,6,3] => 010011 => [1,1,2,2] => 75
[4,5,1,3,2,6,7] => 010100 => [1,1,1,1,2] => 90
[4,5,1,3,2,7,6] => 010101 => [1,1,1,1,1,1] => 132
[4,5,1,3,6,2,7] => 010010 => [1,1,2,1,1] => 107
[4,5,1,3,6,7,2] => 010001 => [1,1,3,1] => 62
[4,5,1,3,7,2,6] => 010010 => [1,1,2,1,1] => 107
[4,5,1,3,7,6,2] => 010011 => [1,1,2,2] => 75
[4,5,1,6,2,3,7] => 010100 => [1,1,1,1,2] => 90
[4,5,1,6,2,7,3] => 010101 => [1,1,1,1,1,1] => 132
[4,5,1,6,3,2,7] => 010110 => [1,1,1,2,1] => 104
[4,5,1,6,3,7,2] => 010101 => [1,1,1,1,1,1] => 132
[4,5,1,6,7,2,3] => 010010 => [1,1,2,1,1] => 107
[4,5,1,6,7,3,2] => 010011 => [1,1,2,2] => 75
[4,5,1,7,2,3,6] => 010100 => [1,1,1,1,2] => 90
[4,5,1,7,2,6,3] => 010101 => [1,1,1,1,1,1] => 132
[4,5,1,7,3,2,6] => 010110 => [1,1,1,2,1] => 104
[4,5,1,7,3,6,2] => 010101 => [1,1,1,1,1,1] => 132
[4,5,1,7,6,2,3] => 010110 => [1,1,1,2,1] => 104
[4,5,1,7,6,3,2] => 010111 => [1,1,1,3] => 48
[4,5,2,1,3,6,7] => 011000 => [1,2,3] => 40
[4,5,2,1,3,7,6] => 011001 => [1,2,2,1] => 84
[4,5,2,1,6,3,7] => 011010 => [1,2,1,1,1] => 104
[4,5,2,1,6,7,3] => 011001 => [1,2,2,1] => 84
[4,5,2,1,7,3,6] => 011010 => [1,2,1,1,1] => 104
[4,5,2,1,7,6,3] => 011011 => [1,2,1,2] => 72
[4,5,2,3,1,6,7] => 010100 => [1,1,1,1,2] => 90
[4,5,2,3,1,7,6] => 010101 => [1,1,1,1,1,1] => 132
[4,5,2,3,6,1,7] => 010010 => [1,1,2,1,1] => 107
[4,5,2,3,6,7,1] => 010001 => [1,1,3,1] => 62
[4,5,2,3,7,1,6] => 010010 => [1,1,2,1,1] => 107
[4,5,2,3,7,6,1] => 010011 => [1,1,2,2] => 75
[4,5,2,6,1,3,7] => 010100 => [1,1,1,1,2] => 90
[4,5,2,6,1,7,3] => 010101 => [1,1,1,1,1,1] => 132
[4,5,2,6,3,1,7] => 010110 => [1,1,1,2,1] => 104
[4,5,2,6,3,7,1] => 010101 => [1,1,1,1,1,1] => 132
[4,5,2,6,7,1,3] => 010010 => [1,1,2,1,1] => 107
[4,5,2,6,7,3,1] => 010011 => [1,1,2,2] => 75
[4,5,2,7,1,3,6] => 010100 => [1,1,1,1,2] => 90
[4,5,2,7,1,6,3] => 010101 => [1,1,1,1,1,1] => 132
[4,5,2,7,3,1,6] => 010110 => [1,1,1,2,1] => 104
[4,5,2,7,3,6,1] => 010101 => [1,1,1,1,1,1] => 132
[4,5,2,7,6,1,3] => 010110 => [1,1,1,2,1] => 104
[4,5,2,7,6,3,1] => 010111 => [1,1,1,3] => 48
[4,5,3,1,2,6,7] => 011000 => [1,2,3] => 40
[4,5,3,1,2,7,6] => 011001 => [1,2,2,1] => 84
[4,5,3,1,6,2,7] => 011010 => [1,2,1,1,1] => 104
[4,5,3,1,6,7,2] => 011001 => [1,2,2,1] => 84
[4,5,3,1,7,2,6] => 011010 => [1,2,1,1,1] => 104
[4,5,3,1,7,6,2] => 011011 => [1,2,1,2] => 72
[4,5,3,2,1,6,7] => 011100 => [1,3,2] => 45
[4,5,3,2,1,7,6] => 011101 => [1,3,1,1] => 62
[4,5,3,2,6,1,7] => 011010 => [1,2,1,1,1] => 104
[4,5,3,2,6,7,1] => 011001 => [1,2,2,1] => 84
[4,5,3,2,7,1,6] => 011010 => [1,2,1,1,1] => 104
[4,5,3,2,7,6,1] => 011011 => [1,2,1,2] => 72
[4,5,3,6,1,2,7] => 010100 => [1,1,1,1,2] => 90
[4,5,3,6,1,7,2] => 010101 => [1,1,1,1,1,1] => 132
[4,5,3,6,2,1,7] => 010110 => [1,1,1,2,1] => 104
[4,5,3,6,2,7,1] => 010101 => [1,1,1,1,1,1] => 132
[4,5,3,6,7,1,2] => 010010 => [1,1,2,1,1] => 107
[4,5,3,6,7,2,1] => 010011 => [1,1,2,2] => 75
[4,5,3,7,1,2,6] => 010100 => [1,1,1,1,2] => 90
[4,5,3,7,1,6,2] => 010101 => [1,1,1,1,1,1] => 132
[4,5,3,7,2,1,6] => 010110 => [1,1,1,2,1] => 104
[4,5,3,7,2,6,1] => 010101 => [1,1,1,1,1,1] => 132
[4,5,3,7,6,1,2] => 010110 => [1,1,1,2,1] => 104
[4,5,3,7,6,2,1] => 010111 => [1,1,1,3] => 48
[4,5,6,1,2,3,7] => 001000 => [2,1,3] => 34
[4,5,6,1,2,7,3] => 001001 => [2,1,2,1] => 72
[4,5,6,1,3,2,7] => 001010 => [2,1,1,1,1] => 90
[4,5,6,1,3,7,2] => 001001 => [2,1,2,1] => 72
[4,5,6,1,7,2,3] => 001010 => [2,1,1,1,1] => 90
[4,5,6,1,7,3,2] => 001011 => [2,1,1,2] => 62
[4,5,6,2,1,3,7] => 001100 => [2,2,2] => 53
[4,5,6,2,1,7,3] => 001101 => [2,2,1,1] => 75
[4,5,6,2,3,1,7] => 001010 => [2,1,1,1,1] => 90
[4,5,6,2,3,7,1] => 001001 => [2,1,2,1] => 72
[4,5,6,2,7,1,3] => 001010 => [2,1,1,1,1] => 90
[4,5,6,2,7,3,1] => 001011 => [2,1,1,2] => 62
[4,5,6,3,1,2,7] => 001100 => [2,2,2] => 53
[4,5,6,3,1,7,2] => 001101 => [2,2,1,1] => 75
[4,5,6,3,2,1,7] => 001110 => [2,3,1] => 45
[4,5,6,3,2,7,1] => 001101 => [2,2,1,1] => 75
[4,5,6,3,7,1,2] => 001010 => [2,1,1,1,1] => 90
[4,5,6,3,7,2,1] => 001011 => [2,1,1,2] => 62
[4,5,6,7,1,2,3] => 000100 => [3,1,2] => 34
[4,5,6,7,1,3,2] => 000101 => [3,1,1,1] => 48
[4,5,6,7,2,1,3] => 000110 => [3,2,1] => 40
[4,5,6,7,2,3,1] => 000101 => [3,1,1,1] => 48
[4,5,6,7,3,1,2] => 000110 => [3,2,1] => 40
[4,5,6,7,3,2,1] => 000111 => [3,3] => 20
[4,5,7,1,2,3,6] => 001000 => [2,1,3] => 34
[4,5,7,1,2,6,3] => 001001 => [2,1,2,1] => 72
[4,5,7,1,3,2,6] => 001010 => [2,1,1,1,1] => 90
[4,5,7,1,3,6,2] => 001001 => [2,1,2,1] => 72
[4,5,7,1,6,2,3] => 001010 => [2,1,1,1,1] => 90
[4,5,7,1,6,3,2] => 001011 => [2,1,1,2] => 62
[4,5,7,2,1,3,6] => 001100 => [2,2,2] => 53
[4,5,7,2,1,6,3] => 001101 => [2,2,1,1] => 75
[4,5,7,2,3,1,6] => 001010 => [2,1,1,1,1] => 90
[4,5,7,2,3,6,1] => 001001 => [2,1,2,1] => 72
[4,5,7,2,6,1,3] => 001010 => [2,1,1,1,1] => 90
[4,5,7,2,6,3,1] => 001011 => [2,1,1,2] => 62
[4,5,7,3,1,2,6] => 001100 => [2,2,2] => 53
[4,5,7,3,1,6,2] => 001101 => [2,2,1,1] => 75
[4,5,7,3,2,1,6] => 001110 => [2,3,1] => 45
[4,5,7,3,2,6,1] => 001101 => [2,2,1,1] => 75
[4,5,7,3,6,1,2] => 001010 => [2,1,1,1,1] => 90
[4,5,7,3,6,2,1] => 001011 => [2,1,1,2] => 62
[4,5,7,6,1,2,3] => 001100 => [2,2,2] => 53
[4,5,7,6,1,3,2] => 001101 => [2,2,1,1] => 75
[4,5,7,6,2,1,3] => 001110 => [2,3,1] => 45
[4,5,7,6,2,3,1] => 001101 => [2,2,1,1] => 75
[4,5,7,6,3,1,2] => 001110 => [2,3,1] => 45
[4,5,7,6,3,2,1] => 001111 => [2,4] => 15
[4,6,1,2,3,5,7] => 010000 => [1,1,4] => 20
[4,6,1,2,3,7,5] => 010001 => [1,1,3,1] => 62
[4,6,1,2,5,3,7] => 010010 => [1,1,2,1,1] => 107
[4,6,1,2,5,7,3] => 010001 => [1,1,3,1] => 62
[4,6,1,2,7,3,5] => 010010 => [1,1,2,1,1] => 107
[4,6,1,2,7,5,3] => 010011 => [1,1,2,2] => 75
[4,6,1,3,2,5,7] => 010100 => [1,1,1,1,2] => 90
[4,6,1,3,2,7,5] => 010101 => [1,1,1,1,1,1] => 132
[4,6,1,3,5,2,7] => 010010 => [1,1,2,1,1] => 107
[4,6,1,3,5,7,2] => 010001 => [1,1,3,1] => 62
[4,6,1,3,7,2,5] => 010010 => [1,1,2,1,1] => 107
[4,6,1,3,7,5,2] => 010011 => [1,1,2,2] => 75
[4,6,1,5,2,3,7] => 010100 => [1,1,1,1,2] => 90
[4,6,1,5,2,7,3] => 010101 => [1,1,1,1,1,1] => 132
[4,6,1,5,3,2,7] => 010110 => [1,1,1,2,1] => 104
[4,6,1,5,3,7,2] => 010101 => [1,1,1,1,1,1] => 132
[4,6,1,5,7,2,3] => 010010 => [1,1,2,1,1] => 107
[4,6,1,5,7,3,2] => 010011 => [1,1,2,2] => 75
[4,6,1,7,2,3,5] => 010100 => [1,1,1,1,2] => 90
[4,6,1,7,2,5,3] => 010101 => [1,1,1,1,1,1] => 132
[4,6,1,7,3,2,5] => 010110 => [1,1,1,2,1] => 104
[4,6,1,7,3,5,2] => 010101 => [1,1,1,1,1,1] => 132
[4,6,1,7,5,2,3] => 010110 => [1,1,1,2,1] => 104
[4,6,1,7,5,3,2] => 010111 => [1,1,1,3] => 48
[4,6,2,1,3,5,7] => 011000 => [1,2,3] => 40
[4,6,2,1,3,7,5] => 011001 => [1,2,2,1] => 84
[4,6,2,1,5,3,7] => 011010 => [1,2,1,1,1] => 104
[4,6,2,1,5,7,3] => 011001 => [1,2,2,1] => 84
[4,6,2,1,7,3,5] => 011010 => [1,2,1,1,1] => 104
[4,6,2,1,7,5,3] => 011011 => [1,2,1,2] => 72
[4,6,2,3,1,5,7] => 010100 => [1,1,1,1,2] => 90
[4,6,2,3,1,7,5] => 010101 => [1,1,1,1,1,1] => 132
[4,6,2,3,5,1,7] => 010010 => [1,1,2,1,1] => 107
[4,6,2,3,5,7,1] => 010001 => [1,1,3,1] => 62
[4,6,2,3,7,1,5] => 010010 => [1,1,2,1,1] => 107
[4,6,2,3,7,5,1] => 010011 => [1,1,2,2] => 75
[4,6,2,5,1,3,7] => 010100 => [1,1,1,1,2] => 90
[4,6,2,5,1,7,3] => 010101 => [1,1,1,1,1,1] => 132
[4,6,2,5,3,1,7] => 010110 => [1,1,1,2,1] => 104
[4,6,2,5,3,7,1] => 010101 => [1,1,1,1,1,1] => 132
[4,6,2,5,7,1,3] => 010010 => [1,1,2,1,1] => 107
[4,6,2,5,7,3,1] => 010011 => [1,1,2,2] => 75
[4,6,2,7,1,3,5] => 010100 => [1,1,1,1,2] => 90
[4,6,2,7,1,5,3] => 010101 => [1,1,1,1,1,1] => 132
[4,6,2,7,3,1,5] => 010110 => [1,1,1,2,1] => 104
[4,6,2,7,3,5,1] => 010101 => [1,1,1,1,1,1] => 132
[4,6,2,7,5,1,3] => 010110 => [1,1,1,2,1] => 104
[4,6,2,7,5,3,1] => 010111 => [1,1,1,3] => 48
[4,6,3,1,2,5,7] => 011000 => [1,2,3] => 40
[4,6,3,1,2,7,5] => 011001 => [1,2,2,1] => 84
[4,6,3,1,5,2,7] => 011010 => [1,2,1,1,1] => 104
[4,6,3,1,5,7,2] => 011001 => [1,2,2,1] => 84
[4,6,3,1,7,2,5] => 011010 => [1,2,1,1,1] => 104
[4,6,3,1,7,5,2] => 011011 => [1,2,1,2] => 72
[4,6,3,2,1,5,7] => 011100 => [1,3,2] => 45
[4,6,3,2,1,7,5] => 011101 => [1,3,1,1] => 62
[4,6,3,2,5,1,7] => 011010 => [1,2,1,1,1] => 104
[4,6,3,2,5,7,1] => 011001 => [1,2,2,1] => 84
[4,6,3,2,7,1,5] => 011010 => [1,2,1,1,1] => 104
[4,6,3,2,7,5,1] => 011011 => [1,2,1,2] => 72
[4,6,3,5,1,2,7] => 010100 => [1,1,1,1,2] => 90
[4,6,3,5,1,7,2] => 010101 => [1,1,1,1,1,1] => 132
[4,6,3,5,2,1,7] => 010110 => [1,1,1,2,1] => 104
[4,6,3,5,2,7,1] => 010101 => [1,1,1,1,1,1] => 132
[4,6,3,5,7,1,2] => 010010 => [1,1,2,1,1] => 107
[4,6,3,5,7,2,1] => 010011 => [1,1,2,2] => 75
[4,6,3,7,1,2,5] => 010100 => [1,1,1,1,2] => 90
[4,6,3,7,1,5,2] => 010101 => [1,1,1,1,1,1] => 132
[4,6,3,7,2,1,5] => 010110 => [1,1,1,2,1] => 104
[4,6,3,7,2,5,1] => 010101 => [1,1,1,1,1,1] => 132
[4,6,3,7,5,1,2] => 010110 => [1,1,1,2,1] => 104
[4,6,3,7,5,2,1] => 010111 => [1,1,1,3] => 48
[4,6,5,1,2,3,7] => 011000 => [1,2,3] => 40
[4,6,5,1,2,7,3] => 011001 => [1,2,2,1] => 84
[4,6,5,1,3,2,7] => 011010 => [1,2,1,1,1] => 104
[4,6,5,1,3,7,2] => 011001 => [1,2,2,1] => 84
[4,6,5,1,7,2,3] => 011010 => [1,2,1,1,1] => 104
[4,6,5,1,7,3,2] => 011011 => [1,2,1,2] => 72
[4,6,5,2,1,3,7] => 011100 => [1,3,2] => 45
[4,6,5,2,1,7,3] => 011101 => [1,3,1,1] => 62
[4,6,5,2,3,1,7] => 011010 => [1,2,1,1,1] => 104
[4,6,5,2,3,7,1] => 011001 => [1,2,2,1] => 84
[4,6,5,2,7,1,3] => 011010 => [1,2,1,1,1] => 104
[4,6,5,2,7,3,1] => 011011 => [1,2,1,2] => 72
[4,6,5,3,1,2,7] => 011100 => [1,3,2] => 45
[4,6,5,3,1,7,2] => 011101 => [1,3,1,1] => 62
[4,6,5,3,2,1,7] => 011110 => [1,4,1] => 26
[4,6,5,3,2,7,1] => 011101 => [1,3,1,1] => 62
[4,6,5,3,7,1,2] => 011010 => [1,2,1,1,1] => 104
[4,6,5,3,7,2,1] => 011011 => [1,2,1,2] => 72
[4,6,5,7,1,2,3] => 010100 => [1,1,1,1,2] => 90
[4,6,5,7,1,3,2] => 010101 => [1,1,1,1,1,1] => 132
[4,6,5,7,2,1,3] => 010110 => [1,1,1,2,1] => 104
[4,6,5,7,2,3,1] => 010101 => [1,1,1,1,1,1] => 132
[4,6,5,7,3,1,2] => 010110 => [1,1,1,2,1] => 104
[4,6,5,7,3,2,1] => 010111 => [1,1,1,3] => 48
[4,6,7,1,2,3,5] => 001000 => [2,1,3] => 34
[4,6,7,1,2,5,3] => 001001 => [2,1,2,1] => 72
[4,6,7,1,3,2,5] => 001010 => [2,1,1,1,1] => 90
[4,6,7,1,3,5,2] => 001001 => [2,1,2,1] => 72
[4,6,7,1,5,2,3] => 001010 => [2,1,1,1,1] => 90
[4,6,7,1,5,3,2] => 001011 => [2,1,1,2] => 62
[4,6,7,2,1,3,5] => 001100 => [2,2,2] => 53
[4,6,7,2,1,5,3] => 001101 => [2,2,1,1] => 75
[4,6,7,2,3,1,5] => 001010 => [2,1,1,1,1] => 90
[4,6,7,2,3,5,1] => 001001 => [2,1,2,1] => 72
[4,6,7,2,5,1,3] => 001010 => [2,1,1,1,1] => 90
[4,6,7,2,5,3,1] => 001011 => [2,1,1,2] => 62
[4,6,7,3,1,2,5] => 001100 => [2,2,2] => 53
[4,6,7,3,1,5,2] => 001101 => [2,2,1,1] => 75
[4,6,7,3,2,1,5] => 001110 => [2,3,1] => 45
[4,6,7,3,2,5,1] => 001101 => [2,2,1,1] => 75
[4,6,7,3,5,1,2] => 001010 => [2,1,1,1,1] => 90
[4,6,7,3,5,2,1] => 001011 => [2,1,1,2] => 62
[4,6,7,5,1,2,3] => 001100 => [2,2,2] => 53
[4,6,7,5,1,3,2] => 001101 => [2,2,1,1] => 75
[4,6,7,5,2,1,3] => 001110 => [2,3,1] => 45
[4,6,7,5,2,3,1] => 001101 => [2,2,1,1] => 75
[4,6,7,5,3,1,2] => 001110 => [2,3,1] => 45
[4,6,7,5,3,2,1] => 001111 => [2,4] => 15
[4,7,1,2,3,5,6] => 010000 => [1,1,4] => 20
[4,7,1,2,3,6,5] => 010001 => [1,1,3,1] => 62
[4,7,1,2,5,3,6] => 010010 => [1,1,2,1,1] => 107
[4,7,1,2,5,6,3] => 010001 => [1,1,3,1] => 62
[4,7,1,2,6,3,5] => 010010 => [1,1,2,1,1] => 107
[4,7,1,2,6,5,3] => 010011 => [1,1,2,2] => 75
[4,7,1,3,2,5,6] => 010100 => [1,1,1,1,2] => 90
[4,7,1,3,2,6,5] => 010101 => [1,1,1,1,1,1] => 132
[4,7,1,3,5,2,6] => 010010 => [1,1,2,1,1] => 107
[4,7,1,3,5,6,2] => 010001 => [1,1,3,1] => 62
[4,7,1,3,6,2,5] => 010010 => [1,1,2,1,1] => 107
[4,7,1,3,6,5,2] => 010011 => [1,1,2,2] => 75
[4,7,1,5,2,3,6] => 010100 => [1,1,1,1,2] => 90
[4,7,1,5,2,6,3] => 010101 => [1,1,1,1,1,1] => 132
[4,7,1,5,3,2,6] => 010110 => [1,1,1,2,1] => 104
[4,7,1,5,3,6,2] => 010101 => [1,1,1,1,1,1] => 132
[4,7,1,5,6,2,3] => 010010 => [1,1,2,1,1] => 107
[4,7,1,5,6,3,2] => 010011 => [1,1,2,2] => 75
[4,7,1,6,2,3,5] => 010100 => [1,1,1,1,2] => 90
[4,7,1,6,2,5,3] => 010101 => [1,1,1,1,1,1] => 132
[4,7,1,6,3,2,5] => 010110 => [1,1,1,2,1] => 104
[4,7,1,6,3,5,2] => 010101 => [1,1,1,1,1,1] => 132
[4,7,1,6,5,2,3] => 010110 => [1,1,1,2,1] => 104
[4,7,1,6,5,3,2] => 010111 => [1,1,1,3] => 48
[4,7,2,1,3,5,6] => 011000 => [1,2,3] => 40
[4,7,2,1,3,6,5] => 011001 => [1,2,2,1] => 84
[4,7,2,1,5,3,6] => 011010 => [1,2,1,1,1] => 104
[4,7,2,1,5,6,3] => 011001 => [1,2,2,1] => 84
[4,7,2,1,6,3,5] => 011010 => [1,2,1,1,1] => 104
[4,7,2,1,6,5,3] => 011011 => [1,2,1,2] => 72
[4,7,2,3,1,5,6] => 010100 => [1,1,1,1,2] => 90
[4,7,2,3,1,6,5] => 010101 => [1,1,1,1,1,1] => 132
[4,7,2,3,5,1,6] => 010010 => [1,1,2,1,1] => 107
[4,7,2,3,5,6,1] => 010001 => [1,1,3,1] => 62
[4,7,2,3,6,1,5] => 010010 => [1,1,2,1,1] => 107
[4,7,2,3,6,5,1] => 010011 => [1,1,2,2] => 75
[4,7,2,5,1,3,6] => 010100 => [1,1,1,1,2] => 90
[4,7,2,5,1,6,3] => 010101 => [1,1,1,1,1,1] => 132
[4,7,2,5,3,1,6] => 010110 => [1,1,1,2,1] => 104
[4,7,2,5,3,6,1] => 010101 => [1,1,1,1,1,1] => 132
[4,7,2,5,6,1,3] => 010010 => [1,1,2,1,1] => 107
[4,7,2,5,6,3,1] => 010011 => [1,1,2,2] => 75
[4,7,2,6,1,3,5] => 010100 => [1,1,1,1,2] => 90
[4,7,2,6,1,5,3] => 010101 => [1,1,1,1,1,1] => 132
[4,7,2,6,3,1,5] => 010110 => [1,1,1,2,1] => 104
[4,7,2,6,3,5,1] => 010101 => [1,1,1,1,1,1] => 132
[4,7,2,6,5,1,3] => 010110 => [1,1,1,2,1] => 104
[4,7,2,6,5,3,1] => 010111 => [1,1,1,3] => 48
[4,7,3,1,2,5,6] => 011000 => [1,2,3] => 40
[4,7,3,1,2,6,5] => 011001 => [1,2,2,1] => 84
[4,7,3,1,5,2,6] => 011010 => [1,2,1,1,1] => 104
[4,7,3,1,5,6,2] => 011001 => [1,2,2,1] => 84
[4,7,3,1,6,2,5] => 011010 => [1,2,1,1,1] => 104
[4,7,3,1,6,5,2] => 011011 => [1,2,1,2] => 72
[4,7,3,2,1,5,6] => 011100 => [1,3,2] => 45
[4,7,3,2,1,6,5] => 011101 => [1,3,1,1] => 62
[4,7,3,2,5,1,6] => 011010 => [1,2,1,1,1] => 104
[4,7,3,2,5,6,1] => 011001 => [1,2,2,1] => 84
[4,7,3,2,6,1,5] => 011010 => [1,2,1,1,1] => 104
[4,7,3,2,6,5,1] => 011011 => [1,2,1,2] => 72
[4,7,3,5,1,2,6] => 010100 => [1,1,1,1,2] => 90
[4,7,3,5,1,6,2] => 010101 => [1,1,1,1,1,1] => 132
[4,7,3,5,2,1,6] => 010110 => [1,1,1,2,1] => 104
[4,7,3,5,2,6,1] => 010101 => [1,1,1,1,1,1] => 132
[4,7,3,5,6,1,2] => 010010 => [1,1,2,1,1] => 107
[4,7,3,5,6,2,1] => 010011 => [1,1,2,2] => 75
[4,7,3,6,1,2,5] => 010100 => [1,1,1,1,2] => 90
[4,7,3,6,1,5,2] => 010101 => [1,1,1,1,1,1] => 132
[4,7,3,6,2,1,5] => 010110 => [1,1,1,2,1] => 104
[4,7,3,6,2,5,1] => 010101 => [1,1,1,1,1,1] => 132
[4,7,3,6,5,1,2] => 010110 => [1,1,1,2,1] => 104
[4,7,3,6,5,2,1] => 010111 => [1,1,1,3] => 48
[4,7,5,1,2,3,6] => 011000 => [1,2,3] => 40
[4,7,5,1,2,6,3] => 011001 => [1,2,2,1] => 84
[4,7,5,1,3,2,6] => 011010 => [1,2,1,1,1] => 104
[4,7,5,1,3,6,2] => 011001 => [1,2,2,1] => 84
[4,7,5,1,6,2,3] => 011010 => [1,2,1,1,1] => 104
[4,7,5,1,6,3,2] => 011011 => [1,2,1,2] => 72
[4,7,5,2,1,3,6] => 011100 => [1,3,2] => 45
[4,7,5,2,1,6,3] => 011101 => [1,3,1,1] => 62
[4,7,5,2,3,1,6] => 011010 => [1,2,1,1,1] => 104
[4,7,5,2,3,6,1] => 011001 => [1,2,2,1] => 84
[4,7,5,2,6,1,3] => 011010 => [1,2,1,1,1] => 104
[4,7,5,2,6,3,1] => 011011 => [1,2,1,2] => 72
[4,7,5,3,1,2,6] => 011100 => [1,3,2] => 45
[4,7,5,3,1,6,2] => 011101 => [1,3,1,1] => 62
[4,7,5,3,2,1,6] => 011110 => [1,4,1] => 26
[4,7,5,3,2,6,1] => 011101 => [1,3,1,1] => 62
[4,7,5,3,6,1,2] => 011010 => [1,2,1,1,1] => 104
[4,7,5,3,6,2,1] => 011011 => [1,2,1,2] => 72
[4,7,5,6,1,2,3] => 010100 => [1,1,1,1,2] => 90
[4,7,5,6,1,3,2] => 010101 => [1,1,1,1,1,1] => 132
[4,7,5,6,2,1,3] => 010110 => [1,1,1,2,1] => 104
[4,7,5,6,2,3,1] => 010101 => [1,1,1,1,1,1] => 132
[4,7,5,6,3,1,2] => 010110 => [1,1,1,2,1] => 104
[4,7,5,6,3,2,1] => 010111 => [1,1,1,3] => 48
[4,7,6,1,2,3,5] => 011000 => [1,2,3] => 40
[4,7,6,1,2,5,3] => 011001 => [1,2,2,1] => 84
[4,7,6,1,3,2,5] => 011010 => [1,2,1,1,1] => 104
[4,7,6,1,3,5,2] => 011001 => [1,2,2,1] => 84
[4,7,6,1,5,2,3] => 011010 => [1,2,1,1,1] => 104
[4,7,6,1,5,3,2] => 011011 => [1,2,1,2] => 72
[4,7,6,2,1,3,5] => 011100 => [1,3,2] => 45
[4,7,6,2,1,5,3] => 011101 => [1,3,1,1] => 62
[4,7,6,2,3,1,5] => 011010 => [1,2,1,1,1] => 104
[4,7,6,2,3,5,1] => 011001 => [1,2,2,1] => 84
[4,7,6,2,5,1,3] => 011010 => [1,2,1,1,1] => 104
[4,7,6,2,5,3,1] => 011011 => [1,2,1,2] => 72
[4,7,6,3,1,2,5] => 011100 => [1,3,2] => 45
[4,7,6,3,1,5,2] => 011101 => [1,3,1,1] => 62
[4,7,6,3,2,1,5] => 011110 => [1,4,1] => 26
[4,7,6,3,2,5,1] => 011101 => [1,3,1,1] => 62
[4,7,6,3,5,1,2] => 011010 => [1,2,1,1,1] => 104
[4,7,6,3,5,2,1] => 011011 => [1,2,1,2] => 72
[4,7,6,5,1,2,3] => 011100 => [1,3,2] => 45
[4,7,6,5,1,3,2] => 011101 => [1,3,1,1] => 62
[4,7,6,5,2,1,3] => 011110 => [1,4,1] => 26
[4,7,6,5,2,3,1] => 011101 => [1,3,1,1] => 62
[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] => 62
[5,1,2,3,6,7,4] => 100001 => [1,4,1] => 26
[5,1,2,3,7,4,6] => 100010 => [1,3,1,1] => 62
[5,1,2,3,7,6,4] => 100011 => [1,3,2] => 45
[5,1,2,4,3,6,7] => 100100 => [1,2,1,2] => 72
[5,1,2,4,3,7,6] => 100101 => [1,2,1,1,1] => 104
[5,1,2,4,6,3,7] => 100010 => [1,3,1,1] => 62
[5,1,2,4,6,7,3] => 100001 => [1,4,1] => 26
[5,1,2,4,7,3,6] => 100010 => [1,3,1,1] => 62
[5,1,2,4,7,6,3] => 100011 => [1,3,2] => 45
[5,1,2,6,3,4,7] => 100100 => [1,2,1,2] => 72
[5,1,2,6,3,7,4] => 100101 => [1,2,1,1,1] => 104
[5,1,2,6,4,3,7] => 100110 => [1,2,2,1] => 84
[5,1,2,6,4,7,3] => 100101 => [1,2,1,1,1] => 104
[5,1,2,6,7,3,4] => 100010 => [1,3,1,1] => 62
[5,1,2,6,7,4,3] => 100011 => [1,3,2] => 45
[5,1,2,7,3,4,6] => 100100 => [1,2,1,2] => 72
[5,1,2,7,3,6,4] => 100101 => [1,2,1,1,1] => 104
[5,1,2,7,4,3,6] => 100110 => [1,2,2,1] => 84
[5,1,2,7,4,6,3] => 100101 => [1,2,1,1,1] => 104
[5,1,2,7,6,3,4] => 100110 => [1,2,2,1] => 84
[5,1,2,7,6,4,3] => 100111 => [1,2,3] => 40
[5,1,3,2,4,6,7] => 101000 => [1,1,1,3] => 48
[5,1,3,2,4,7,6] => 101001 => [1,1,1,2,1] => 104
[5,1,3,2,6,4,7] => 101010 => [1,1,1,1,1,1] => 132
[5,1,3,2,6,7,4] => 101001 => [1,1,1,2,1] => 104
[5,1,3,2,7,4,6] => 101010 => [1,1,1,1,1,1] => 132
[5,1,3,2,7,6,4] => 101011 => [1,1,1,1,2] => 90
[5,1,3,4,2,6,7] => 100100 => [1,2,1,2] => 72
[5,1,3,4,2,7,6] => 100101 => [1,2,1,1,1] => 104
[5,1,3,4,6,2,7] => 100010 => [1,3,1,1] => 62
[5,1,3,4,6,7,2] => 100001 => [1,4,1] => 26
[5,1,3,4,7,2,6] => 100010 => [1,3,1,1] => 62
[5,1,3,4,7,6,2] => 100011 => [1,3,2] => 45
[5,1,3,6,2,4,7] => 100100 => [1,2,1,2] => 72
[5,1,3,6,2,7,4] => 100101 => [1,2,1,1,1] => 104
[5,1,3,6,4,2,7] => 100110 => [1,2,2,1] => 84
[5,1,3,6,4,7,2] => 100101 => [1,2,1,1,1] => 104
[5,1,3,6,7,2,4] => 100010 => [1,3,1,1] => 62
[5,1,3,6,7,4,2] => 100011 => [1,3,2] => 45
[5,1,3,7,2,4,6] => 100100 => [1,2,1,2] => 72
[5,1,3,7,2,6,4] => 100101 => [1,2,1,1,1] => 104
[5,1,3,7,4,2,6] => 100110 => [1,2,2,1] => 84
[5,1,3,7,4,6,2] => 100101 => [1,2,1,1,1] => 104
[5,1,3,7,6,2,4] => 100110 => [1,2,2,1] => 84
[5,1,3,7,6,4,2] => 100111 => [1,2,3] => 40
[5,1,4,2,3,6,7] => 101000 => [1,1,1,3] => 48
[5,1,4,2,3,7,6] => 101001 => [1,1,1,2,1] => 104
[5,1,4,2,6,3,7] => 101010 => [1,1,1,1,1,1] => 132
[5,1,4,2,6,7,3] => 101001 => [1,1,1,2,1] => 104
[5,1,4,2,7,3,6] => 101010 => [1,1,1,1,1,1] => 132
[5,1,4,2,7,6,3] => 101011 => [1,1,1,1,2] => 90
[5,1,4,3,2,6,7] => 101100 => [1,1,2,2] => 75
[5,1,4,3,2,7,6] => 101101 => [1,1,2,1,1] => 107
[5,1,4,3,6,2,7] => 101010 => [1,1,1,1,1,1] => 132
[5,1,4,3,6,7,2] => 101001 => [1,1,1,2,1] => 104
[5,1,4,3,7,2,6] => 101010 => [1,1,1,1,1,1] => 132
[5,1,4,3,7,6,2] => 101011 => [1,1,1,1,2] => 90
[5,1,4,6,2,3,7] => 100100 => [1,2,1,2] => 72
[5,1,4,6,2,7,3] => 100101 => [1,2,1,1,1] => 104
[5,1,4,6,3,2,7] => 100110 => [1,2,2,1] => 84
[5,1,4,6,3,7,2] => 100101 => [1,2,1,1,1] => 104
[5,1,4,6,7,2,3] => 100010 => [1,3,1,1] => 62
[5,1,4,6,7,3,2] => 100011 => [1,3,2] => 45
[5,1,4,7,2,3,6] => 100100 => [1,2,1,2] => 72
[5,1,4,7,2,6,3] => 100101 => [1,2,1,1,1] => 104
[5,1,4,7,3,2,6] => 100110 => [1,2,2,1] => 84
[5,1,4,7,3,6,2] => 100101 => [1,2,1,1,1] => 104
[5,1,4,7,6,2,3] => 100110 => [1,2,2,1] => 84
[5,1,4,7,6,3,2] => 100111 => [1,2,3] => 40
[5,1,6,2,3,4,7] => 101000 => [1,1,1,3] => 48
[5,1,6,2,3,7,4] => 101001 => [1,1,1,2,1] => 104
[5,1,6,2,4,3,7] => 101010 => [1,1,1,1,1,1] => 132
[5,1,6,2,4,7,3] => 101001 => [1,1,1,2,1] => 104
[5,1,6,2,7,3,4] => 101010 => [1,1,1,1,1,1] => 132
[5,1,6,2,7,4,3] => 101011 => [1,1,1,1,2] => 90
[5,1,6,3,2,4,7] => 101100 => [1,1,2,2] => 75
[5,1,6,3,2,7,4] => 101101 => [1,1,2,1,1] => 107
[5,1,6,3,4,2,7] => 101010 => [1,1,1,1,1,1] => 132
[5,1,6,3,4,7,2] => 101001 => [1,1,1,2,1] => 104
[5,1,6,3,7,2,4] => 101010 => [1,1,1,1,1,1] => 132
[5,1,6,3,7,4,2] => 101011 => [1,1,1,1,2] => 90
[5,1,6,4,2,3,7] => 101100 => [1,1,2,2] => 75
[5,1,6,4,2,7,3] => 101101 => [1,1,2,1,1] => 107
[5,1,6,4,3,2,7] => 101110 => [1,1,3,1] => 62
[5,1,6,4,3,7,2] => 101101 => [1,1,2,1,1] => 107
[5,1,6,4,7,2,3] => 101010 => [1,1,1,1,1,1] => 132
[5,1,6,4,7,3,2] => 101011 => [1,1,1,1,2] => 90
[5,1,6,7,2,3,4] => 100100 => [1,2,1,2] => 72
[5,1,6,7,2,4,3] => 100101 => [1,2,1,1,1] => 104
[5,1,6,7,3,2,4] => 100110 => [1,2,2,1] => 84
[5,1,6,7,3,4,2] => 100101 => [1,2,1,1,1] => 104
[5,1,6,7,4,2,3] => 100110 => [1,2,2,1] => 84
[5,1,6,7,4,3,2] => 100111 => [1,2,3] => 40
[5,1,7,2,3,4,6] => 101000 => [1,1,1,3] => 48
[5,1,7,2,3,6,4] => 101001 => [1,1,1,2,1] => 104
[5,1,7,2,4,3,6] => 101010 => [1,1,1,1,1,1] => 132
[5,1,7,2,4,6,3] => 101001 => [1,1,1,2,1] => 104
[5,1,7,2,6,3,4] => 101010 => [1,1,1,1,1,1] => 132
[5,1,7,2,6,4,3] => 101011 => [1,1,1,1,2] => 90
[5,1,7,3,2,4,6] => 101100 => [1,1,2,2] => 75
[5,1,7,3,2,6,4] => 101101 => [1,1,2,1,1] => 107
[5,1,7,3,4,2,6] => 101010 => [1,1,1,1,1,1] => 132
[5,1,7,3,4,6,2] => 101001 => [1,1,1,2,1] => 104
[5,1,7,3,6,2,4] => 101010 => [1,1,1,1,1,1] => 132
[5,1,7,3,6,4,2] => 101011 => [1,1,1,1,2] => 90
[5,1,7,4,2,3,6] => 101100 => [1,1,2,2] => 75
[5,1,7,4,2,6,3] => 101101 => [1,1,2,1,1] => 107
[5,1,7,4,3,2,6] => 101110 => [1,1,3,1] => 62
[5,1,7,4,3,6,2] => 101101 => [1,1,2,1,1] => 107
[5,1,7,4,6,2,3] => 101010 => [1,1,1,1,1,1] => 132
[5,1,7,4,6,3,2] => 101011 => [1,1,1,1,2] => 90
[5,1,7,6,2,3,4] => 101100 => [1,1,2,2] => 75
[5,1,7,6,2,4,3] => 101101 => [1,1,2,1,1] => 107
[5,1,7,6,3,2,4] => 101110 => [1,1,3,1] => 62
[5,1,7,6,3,4,2] => 101101 => [1,1,2,1,1] => 107
[5,1,7,6,4,2,3] => 101110 => [1,1,3,1] => 62
[5,1,7,6,4,3,2] => 101111 => [1,1,4] => 20
[5,2,1,3,4,6,7] => 110000 => [2,4] => 15
[5,2,1,3,4,7,6] => 110001 => [2,3,1] => 45
[5,2,1,3,6,4,7] => 110010 => [2,2,1,1] => 75
[5,2,1,3,6,7,4] => 110001 => [2,3,1] => 45
[5,2,1,3,7,4,6] => 110010 => [2,2,1,1] => 75
[5,2,1,3,7,6,4] => 110011 => [2,2,2] => 53
[5,2,1,4,3,6,7] => 110100 => [2,1,1,2] => 62
[5,2,1,4,3,7,6] => 110101 => [2,1,1,1,1] => 90
[5,2,1,4,6,3,7] => 110010 => [2,2,1,1] => 75
[5,2,1,4,6,7,3] => 110001 => [2,3,1] => 45
[5,2,1,4,7,3,6] => 110010 => [2,2,1,1] => 75
[5,2,1,4,7,6,3] => 110011 => [2,2,2] => 53
[5,2,1,6,3,4,7] => 110100 => [2,1,1,2] => 62
[5,2,1,6,3,7,4] => 110101 => [2,1,1,1,1] => 90
[5,2,1,6,4,3,7] => 110110 => [2,1,2,1] => 72
[5,2,1,6,4,7,3] => 110101 => [2,1,1,1,1] => 90
[5,2,1,6,7,3,4] => 110010 => [2,2,1,1] => 75
[5,2,1,6,7,4,3] => 110011 => [2,2,2] => 53
[5,2,1,7,3,4,6] => 110100 => [2,1,1,2] => 62
[5,2,1,7,3,6,4] => 110101 => [2,1,1,1,1] => 90
[5,2,1,7,4,3,6] => 110110 => [2,1,2,1] => 72
[5,2,1,7,4,6,3] => 110101 => [2,1,1,1,1] => 90
[5,2,1,7,6,3,4] => 110110 => [2,1,2,1] => 72
[5,2,1,7,6,4,3] => 110111 => [2,1,3] => 34
[5,2,3,1,4,6,7] => 101000 => [1,1,1,3] => 48
[5,2,3,1,4,7,6] => 101001 => [1,1,1,2,1] => 104
[5,2,3,1,6,4,7] => 101010 => [1,1,1,1,1,1] => 132
[5,2,3,1,6,7,4] => 101001 => [1,1,1,2,1] => 104
[5,2,3,1,7,4,6] => 101010 => [1,1,1,1,1,1] => 132
[5,2,3,1,7,6,4] => 101011 => [1,1,1,1,2] => 90
[5,2,3,4,1,6,7] => 100100 => [1,2,1,2] => 72
[5,2,3,4,1,7,6] => 100101 => [1,2,1,1,1] => 104
[5,2,3,4,6,1,7] => 100010 => [1,3,1,1] => 62
[5,2,3,4,6,7,1] => 100001 => [1,4,1] => 26
[5,2,3,4,7,1,6] => 100010 => [1,3,1,1] => 62
[5,2,3,4,7,6,1] => 100011 => [1,3,2] => 45
[5,2,3,6,1,4,7] => 100100 => [1,2,1,2] => 72
[5,2,3,6,1,7,4] => 100101 => [1,2,1,1,1] => 104
[5,2,3,6,4,1,7] => 100110 => [1,2,2,1] => 84
[5,2,3,6,4,7,1] => 100101 => [1,2,1,1,1] => 104
[5,2,3,6,7,1,4] => 100010 => [1,3,1,1] => 62
[5,2,3,6,7,4,1] => 100011 => [1,3,2] => 45
[5,2,3,7,1,4,6] => 100100 => [1,2,1,2] => 72
[5,2,3,7,1,6,4] => 100101 => [1,2,1,1,1] => 104
[5,2,3,7,4,1,6] => 100110 => [1,2,2,1] => 84
[5,2,3,7,4,6,1] => 100101 => [1,2,1,1,1] => 104
[5,2,3,7,6,1,4] => 100110 => [1,2,2,1] => 84
[5,2,3,7,6,4,1] => 100111 => [1,2,3] => 40
[5,2,4,1,3,6,7] => 101000 => [1,1,1,3] => 48
[5,2,4,1,3,7,6] => 101001 => [1,1,1,2,1] => 104
[5,2,4,1,6,3,7] => 101010 => [1,1,1,1,1,1] => 132
[5,2,4,1,6,7,3] => 101001 => [1,1,1,2,1] => 104
[5,2,4,1,7,3,6] => 101010 => [1,1,1,1,1,1] => 132
[5,2,4,1,7,6,3] => 101011 => [1,1,1,1,2] => 90
[5,2,4,3,1,6,7] => 101100 => [1,1,2,2] => 75
[5,2,4,3,1,7,6] => 101101 => [1,1,2,1,1] => 107
[5,2,4,3,6,1,7] => 101010 => [1,1,1,1,1,1] => 132
[5,2,4,3,6,7,1] => 101001 => [1,1,1,2,1] => 104
[5,2,4,3,7,1,6] => 101010 => [1,1,1,1,1,1] => 132
[5,2,4,3,7,6,1] => 101011 => [1,1,1,1,2] => 90
[5,2,4,6,1,3,7] => 100100 => [1,2,1,2] => 72
[5,2,4,6,1,7,3] => 100101 => [1,2,1,1,1] => 104
[5,2,4,6,3,1,7] => 100110 => [1,2,2,1] => 84
[5,2,4,6,3,7,1] => 100101 => [1,2,1,1,1] => 104
[5,2,4,6,7,1,3] => 100010 => [1,3,1,1] => 62
[5,2,4,6,7,3,1] => 100011 => [1,3,2] => 45
[5,2,4,7,1,3,6] => 100100 => [1,2,1,2] => 72
[5,2,4,7,1,6,3] => 100101 => [1,2,1,1,1] => 104
[5,2,4,7,3,1,6] => 100110 => [1,2,2,1] => 84
[5,2,4,7,3,6,1] => 100101 => [1,2,1,1,1] => 104
[5,2,4,7,6,1,3] => 100110 => [1,2,2,1] => 84
[5,2,4,7,6,3,1] => 100111 => [1,2,3] => 40
[5,2,6,1,3,4,7] => 101000 => [1,1,1,3] => 48
[5,2,6,1,3,7,4] => 101001 => [1,1,1,2,1] => 104
[5,2,6,1,4,3,7] => 101010 => [1,1,1,1,1,1] => 132
[5,2,6,1,4,7,3] => 101001 => [1,1,1,2,1] => 104
[5,2,6,1,7,3,4] => 101010 => [1,1,1,1,1,1] => 132
[5,2,6,1,7,4,3] => 101011 => [1,1,1,1,2] => 90
[5,2,6,3,1,4,7] => 101100 => [1,1,2,2] => 75
[5,2,6,3,1,7,4] => 101101 => [1,1,2,1,1] => 107
[5,2,6,3,4,1,7] => 101010 => [1,1,1,1,1,1] => 132
[5,2,6,3,4,7,1] => 101001 => [1,1,1,2,1] => 104
[5,2,6,3,7,1,4] => 101010 => [1,1,1,1,1,1] => 132
[5,2,6,3,7,4,1] => 101011 => [1,1,1,1,2] => 90
[5,2,6,4,1,3,7] => 101100 => [1,1,2,2] => 75
[5,2,6,4,1,7,3] => 101101 => [1,1,2,1,1] => 107
[5,2,6,4,3,1,7] => 101110 => [1,1,3,1] => 62
[5,2,6,4,3,7,1] => 101101 => [1,1,2,1,1] => 107
[5,2,6,4,7,1,3] => 101010 => [1,1,1,1,1,1] => 132
[5,2,6,4,7,3,1] => 101011 => [1,1,1,1,2] => 90
[5,2,6,7,1,3,4] => 100100 => [1,2,1,2] => 72
[5,2,6,7,1,4,3] => 100101 => [1,2,1,1,1] => 104
[5,2,6,7,3,1,4] => 100110 => [1,2,2,1] => 84
[5,2,6,7,3,4,1] => 100101 => [1,2,1,1,1] => 104
[5,2,6,7,4,1,3] => 100110 => [1,2,2,1] => 84
[5,2,6,7,4,3,1] => 100111 => [1,2,3] => 40
[5,2,7,1,3,4,6] => 101000 => [1,1,1,3] => 48
[5,2,7,1,3,6,4] => 101001 => [1,1,1,2,1] => 104
[5,2,7,1,4,3,6] => 101010 => [1,1,1,1,1,1] => 132
[5,2,7,1,4,6,3] => 101001 => [1,1,1,2,1] => 104
[5,2,7,1,6,3,4] => 101010 => [1,1,1,1,1,1] => 132
[5,2,7,1,6,4,3] => 101011 => [1,1,1,1,2] => 90
[5,2,7,3,1,4,6] => 101100 => [1,1,2,2] => 75
[5,2,7,3,1,6,4] => 101101 => [1,1,2,1,1] => 107
[5,2,7,3,4,1,6] => 101010 => [1,1,1,1,1,1] => 132
[5,2,7,3,4,6,1] => 101001 => [1,1,1,2,1] => 104
[5,2,7,3,6,1,4] => 101010 => [1,1,1,1,1,1] => 132
[5,2,7,3,6,4,1] => 101011 => [1,1,1,1,2] => 90
[5,2,7,4,1,3,6] => 101100 => [1,1,2,2] => 75
[5,2,7,4,1,6,3] => 101101 => [1,1,2,1,1] => 107
[5,2,7,4,3,1,6] => 101110 => [1,1,3,1] => 62
[5,2,7,4,3,6,1] => 101101 => [1,1,2,1,1] => 107
[5,2,7,4,6,1,3] => 101010 => [1,1,1,1,1,1] => 132
[5,2,7,4,6,3,1] => 101011 => [1,1,1,1,2] => 90
[5,2,7,6,1,3,4] => 101100 => [1,1,2,2] => 75
[5,2,7,6,1,4,3] => 101101 => [1,1,2,1,1] => 107
[5,2,7,6,3,1,4] => 101110 => [1,1,3,1] => 62
[5,2,7,6,3,4,1] => 101101 => [1,1,2,1,1] => 107
[5,2,7,6,4,1,3] => 101110 => [1,1,3,1] => 62
[5,2,7,6,4,3,1] => 101111 => [1,1,4] => 20
[5,3,1,2,4,6,7] => 110000 => [2,4] => 15
[5,3,1,2,4,7,6] => 110001 => [2,3,1] => 45
[5,3,1,2,6,4,7] => 110010 => [2,2,1,1] => 75
[5,3,1,2,6,7,4] => 110001 => [2,3,1] => 45
[5,3,1,2,7,4,6] => 110010 => [2,2,1,1] => 75
[5,3,1,2,7,6,4] => 110011 => [2,2,2] => 53
[5,3,1,4,2,6,7] => 110100 => [2,1,1,2] => 62
[5,3,1,4,2,7,6] => 110101 => [2,1,1,1,1] => 90
[5,3,1,4,6,2,7] => 110010 => [2,2,1,1] => 75
[5,3,1,4,6,7,2] => 110001 => [2,3,1] => 45
[5,3,1,4,7,2,6] => 110010 => [2,2,1,1] => 75
[5,3,1,4,7,6,2] => 110011 => [2,2,2] => 53
[5,3,1,6,2,4,7] => 110100 => [2,1,1,2] => 62
[5,3,1,6,2,7,4] => 110101 => [2,1,1,1,1] => 90
[5,3,1,6,4,2,7] => 110110 => [2,1,2,1] => 72
[5,3,1,6,4,7,2] => 110101 => [2,1,1,1,1] => 90
[5,3,1,6,7,2,4] => 110010 => [2,2,1,1] => 75
[5,3,1,6,7,4,2] => 110011 => [2,2,2] => 53
[5,3,1,7,2,4,6] => 110100 => [2,1,1,2] => 62
[5,3,1,7,2,6,4] => 110101 => [2,1,1,1,1] => 90
[5,3,1,7,4,2,6] => 110110 => [2,1,2,1] => 72
[5,3,1,7,4,6,2] => 110101 => [2,1,1,1,1] => 90
[5,3,1,7,6,2,4] => 110110 => [2,1,2,1] => 72
[5,3,1,7,6,4,2] => 110111 => [2,1,3] => 34
[5,3,2,1,4,6,7] => 111000 => [3,3] => 20
[5,3,2,1,4,7,6] => 111001 => [3,2,1] => 40
[5,3,2,1,6,4,7] => 111010 => [3,1,1,1] => 48
[5,3,2,1,6,7,4] => 111001 => [3,2,1] => 40
[5,3,2,1,7,4,6] => 111010 => [3,1,1,1] => 48
[5,3,2,1,7,6,4] => 111011 => [3,1,2] => 34
[5,3,2,4,1,6,7] => 110100 => [2,1,1,2] => 62
[5,3,2,4,1,7,6] => 110101 => [2,1,1,1,1] => 90
[5,3,2,4,6,1,7] => 110010 => [2,2,1,1] => 75
[5,3,2,4,6,7,1] => 110001 => [2,3,1] => 45
[5,3,2,4,7,1,6] => 110010 => [2,2,1,1] => 75
[5,3,2,4,7,6,1] => 110011 => [2,2,2] => 53
[5,3,2,6,1,4,7] => 110100 => [2,1,1,2] => 62
[5,3,2,6,1,7,4] => 110101 => [2,1,1,1,1] => 90
[5,3,2,6,4,1,7] => 110110 => [2,1,2,1] => 72
[5,3,2,6,4,7,1] => 110101 => [2,1,1,1,1] => 90
[5,3,2,6,7,1,4] => 110010 => [2,2,1,1] => 75
[5,3,2,6,7,4,1] => 110011 => [2,2,2] => 53
[5,3,2,7,1,4,6] => 110100 => [2,1,1,2] => 62
[5,3,2,7,1,6,4] => 110101 => [2,1,1,1,1] => 90
[5,3,2,7,4,1,6] => 110110 => [2,1,2,1] => 72
[5,3,2,7,4,6,1] => 110101 => [2,1,1,1,1] => 90
[5,3,2,7,6,1,4] => 110110 => [2,1,2,1] => 72
[5,3,2,7,6,4,1] => 110111 => [2,1,3] => 34
[5,3,4,1,2,6,7] => 101000 => [1,1,1,3] => 48
[5,3,4,1,2,7,6] => 101001 => [1,1,1,2,1] => 104
[5,3,4,1,6,2,7] => 101010 => [1,1,1,1,1,1] => 132
[5,3,4,1,6,7,2] => 101001 => [1,1,1,2,1] => 104
[5,3,4,1,7,2,6] => 101010 => [1,1,1,1,1,1] => 132
[5,3,4,1,7,6,2] => 101011 => [1,1,1,1,2] => 90
[5,3,4,2,1,6,7] => 101100 => [1,1,2,2] => 75
[5,3,4,2,1,7,6] => 101101 => [1,1,2,1,1] => 107
[5,3,4,2,6,1,7] => 101010 => [1,1,1,1,1,1] => 132
[5,3,4,2,6,7,1] => 101001 => [1,1,1,2,1] => 104
[5,3,4,2,7,1,6] => 101010 => [1,1,1,1,1,1] => 132
[5,3,4,2,7,6,1] => 101011 => [1,1,1,1,2] => 90
[5,3,4,6,1,2,7] => 100100 => [1,2,1,2] => 72
[5,3,4,6,1,7,2] => 100101 => [1,2,1,1,1] => 104
[5,3,4,6,2,1,7] => 100110 => [1,2,2,1] => 84
[5,3,4,6,2,7,1] => 100101 => [1,2,1,1,1] => 104
[5,3,4,6,7,1,2] => 100010 => [1,3,1,1] => 62
[5,3,4,6,7,2,1] => 100011 => [1,3,2] => 45
[5,3,4,7,1,2,6] => 100100 => [1,2,1,2] => 72
[5,3,4,7,1,6,2] => 100101 => [1,2,1,1,1] => 104
[5,3,4,7,2,1,6] => 100110 => [1,2,2,1] => 84
[5,3,4,7,2,6,1] => 100101 => [1,2,1,1,1] => 104
[5,3,4,7,6,1,2] => 100110 => [1,2,2,1] => 84
[5,3,4,7,6,2,1] => 100111 => [1,2,3] => 40
[5,3,6,1,2,4,7] => 101000 => [1,1,1,3] => 48
[5,3,6,1,2,7,4] => 101001 => [1,1,1,2,1] => 104
[5,3,6,1,4,2,7] => 101010 => [1,1,1,1,1,1] => 132
[5,3,6,1,4,7,2] => 101001 => [1,1,1,2,1] => 104
[5,3,6,1,7,2,4] => 101010 => [1,1,1,1,1,1] => 132
[5,3,6,1,7,4,2] => 101011 => [1,1,1,1,2] => 90
[5,3,6,2,1,4,7] => 101100 => [1,1,2,2] => 75
[5,3,6,2,1,7,4] => 101101 => [1,1,2,1,1] => 107
[5,3,6,2,4,1,7] => 101010 => [1,1,1,1,1,1] => 132
[5,3,6,2,4,7,1] => 101001 => [1,1,1,2,1] => 104
[5,3,6,2,7,1,4] => 101010 => [1,1,1,1,1,1] => 132
[5,3,6,2,7,4,1] => 101011 => [1,1,1,1,2] => 90
[5,3,6,4,1,2,7] => 101100 => [1,1,2,2] => 75
[5,3,6,4,1,7,2] => 101101 => [1,1,2,1,1] => 107
[5,3,6,4,2,1,7] => 101110 => [1,1,3,1] => 62
[5,3,6,4,2,7,1] => 101101 => [1,1,2,1,1] => 107
[5,3,6,4,7,1,2] => 101010 => [1,1,1,1,1,1] => 132
[5,3,6,4,7,2,1] => 101011 => [1,1,1,1,2] => 90
[5,3,6,7,1,2,4] => 100100 => [1,2,1,2] => 72
[5,3,6,7,1,4,2] => 100101 => [1,2,1,1,1] => 104
[5,3,6,7,2,1,4] => 100110 => [1,2,2,1] => 84
[5,3,6,7,2,4,1] => 100101 => [1,2,1,1,1] => 104
[5,3,6,7,4,1,2] => 100110 => [1,2,2,1] => 84
[5,3,6,7,4,2,1] => 100111 => [1,2,3] => 40
[5,3,7,1,2,4,6] => 101000 => [1,1,1,3] => 48
[5,3,7,1,2,6,4] => 101001 => [1,1,1,2,1] => 104
[5,3,7,1,4,2,6] => 101010 => [1,1,1,1,1,1] => 132
[5,3,7,1,4,6,2] => 101001 => [1,1,1,2,1] => 104
[5,3,7,1,6,2,4] => 101010 => [1,1,1,1,1,1] => 132
[5,3,7,1,6,4,2] => 101011 => [1,1,1,1,2] => 90
[5,3,7,2,1,4,6] => 101100 => [1,1,2,2] => 75
[5,3,7,2,1,6,4] => 101101 => [1,1,2,1,1] => 107
[5,3,7,2,4,1,6] => 101010 => [1,1,1,1,1,1] => 132
[5,3,7,2,4,6,1] => 101001 => [1,1,1,2,1] => 104
[5,3,7,2,6,1,4] => 101010 => [1,1,1,1,1,1] => 132
[5,3,7,2,6,4,1] => 101011 => [1,1,1,1,2] => 90
[5,3,7,4,1,2,6] => 101100 => [1,1,2,2] => 75
[5,3,7,4,1,6,2] => 101101 => [1,1,2,1,1] => 107
[5,3,7,4,2,1,6] => 101110 => [1,1,3,1] => 62
[5,3,7,4,2,6,1] => 101101 => [1,1,2,1,1] => 107
[5,3,7,4,6,1,2] => 101010 => [1,1,1,1,1,1] => 132
[5,3,7,4,6,2,1] => 101011 => [1,1,1,1,2] => 90
[5,3,7,6,1,2,4] => 101100 => [1,1,2,2] => 75
[5,3,7,6,1,4,2] => 101101 => [1,1,2,1,1] => 107
[5,3,7,6,2,1,4] => 101110 => [1,1,3,1] => 62
[5,3,7,6,2,4,1] => 101101 => [1,1,2,1,1] => 107
[5,3,7,6,4,1,2] => 101110 => [1,1,3,1] => 62
[5,3,7,6,4,2,1] => 101111 => [1,1,4] => 20
[5,4,1,2,3,6,7] => 110000 => [2,4] => 15
[5,4,1,2,3,7,6] => 110001 => [2,3,1] => 45
[5,4,1,2,6,3,7] => 110010 => [2,2,1,1] => 75
[5,4,1,2,6,7,3] => 110001 => [2,3,1] => 45
[5,4,1,2,7,3,6] => 110010 => [2,2,1,1] => 75
[5,4,1,2,7,6,3] => 110011 => [2,2,2] => 53
[5,4,1,3,2,6,7] => 110100 => [2,1,1,2] => 62
[5,4,1,3,2,7,6] => 110101 => [2,1,1,1,1] => 90
[5,4,1,3,6,2,7] => 110010 => [2,2,1,1] => 75
[5,4,1,3,6,7,2] => 110001 => [2,3,1] => 45
[5,4,1,3,7,2,6] => 110010 => [2,2,1,1] => 75
[5,4,1,3,7,6,2] => 110011 => [2,2,2] => 53
[5,4,1,6,2,3,7] => 110100 => [2,1,1,2] => 62
[5,4,1,6,2,7,3] => 110101 => [2,1,1,1,1] => 90
[5,4,1,6,3,2,7] => 110110 => [2,1,2,1] => 72
[5,4,1,6,3,7,2] => 110101 => [2,1,1,1,1] => 90
[5,4,1,6,7,2,3] => 110010 => [2,2,1,1] => 75
[5,4,1,6,7,3,2] => 110011 => [2,2,2] => 53
[5,4,1,7,2,3,6] => 110100 => [2,1,1,2] => 62
[5,4,1,7,2,6,3] => 110101 => [2,1,1,1,1] => 90
[5,4,1,7,3,2,6] => 110110 => [2,1,2,1] => 72
[5,4,1,7,3,6,2] => 110101 => [2,1,1,1,1] => 90
[5,4,1,7,6,2,3] => 110110 => [2,1,2,1] => 72
[5,4,1,7,6,3,2] => 110111 => [2,1,3] => 34
[5,4,2,1,3,6,7] => 111000 => [3,3] => 20
[5,4,2,1,3,7,6] => 111001 => [3,2,1] => 40
[5,4,2,1,6,3,7] => 111010 => [3,1,1,1] => 48
[5,4,2,1,6,7,3] => 111001 => [3,2,1] => 40
[5,4,2,1,7,3,6] => 111010 => [3,1,1,1] => 48
[5,4,2,1,7,6,3] => 111011 => [3,1,2] => 34
[5,4,2,3,1,6,7] => 110100 => [2,1,1,2] => 62
[5,4,2,3,1,7,6] => 110101 => [2,1,1,1,1] => 90
[5,4,2,3,6,1,7] => 110010 => [2,2,1,1] => 75
[5,4,2,3,6,7,1] => 110001 => [2,3,1] => 45
[5,4,2,3,7,1,6] => 110010 => [2,2,1,1] => 75
[5,4,2,3,7,6,1] => 110011 => [2,2,2] => 53
[5,4,2,6,1,3,7] => 110100 => [2,1,1,2] => 62
[5,4,2,6,1,7,3] => 110101 => [2,1,1,1,1] => 90
[5,4,2,6,3,1,7] => 110110 => [2,1,2,1] => 72
[5,4,2,6,3,7,1] => 110101 => [2,1,1,1,1] => 90
[5,4,2,6,7,1,3] => 110010 => [2,2,1,1] => 75
[5,4,2,6,7,3,1] => 110011 => [2,2,2] => 53
[5,4,2,7,1,3,6] => 110100 => [2,1,1,2] => 62
[5,4,2,7,1,6,3] => 110101 => [2,1,1,1,1] => 90
[5,4,2,7,3,1,6] => 110110 => [2,1,2,1] => 72
[5,4,2,7,3,6,1] => 110101 => [2,1,1,1,1] => 90
[5,4,2,7,6,1,3] => 110110 => [2,1,2,1] => 72
[5,4,2,7,6,3,1] => 110111 => [2,1,3] => 34
[5,4,3,1,2,6,7] => 111000 => [3,3] => 20
[5,4,3,1,2,7,6] => 111001 => [3,2,1] => 40
[5,4,3,1,6,2,7] => 111010 => [3,1,1,1] => 48
[5,4,3,1,6,7,2] => 111001 => [3,2,1] => 40
[5,4,3,1,7,2,6] => 111010 => [3,1,1,1] => 48
[5,4,3,1,7,6,2] => 111011 => [3,1,2] => 34
[5,4,3,2,1,6,7] => 111100 => [4,2] => 15
[5,4,3,2,1,7,6] => 111101 => [4,1,1] => 20
[5,4,3,2,6,1,7] => 111010 => [3,1,1,1] => 48
[5,4,3,2,6,7,1] => 111001 => [3,2,1] => 40
[5,4,3,2,7,1,6] => 111010 => [3,1,1,1] => 48
[5,4,3,2,7,6,1] => 111011 => [3,1,2] => 34
[5,4,3,6,1,2,7] => 110100 => [2,1,1,2] => 62
[5,4,3,6,1,7,2] => 110101 => [2,1,1,1,1] => 90
[5,4,3,6,2,1,7] => 110110 => [2,1,2,1] => 72
[5,4,3,6,2,7,1] => 110101 => [2,1,1,1,1] => 90
[5,4,3,6,7,1,2] => 110010 => [2,2,1,1] => 75
[5,4,3,6,7,2,1] => 110011 => [2,2,2] => 53
[5,4,3,7,1,2,6] => 110100 => [2,1,1,2] => 62
[5,4,3,7,1,6,2] => 110101 => [2,1,1,1,1] => 90
[5,4,3,7,2,1,6] => 110110 => [2,1,2,1] => 72
[5,4,3,7,2,6,1] => 110101 => [2,1,1,1,1] => 90
[5,4,3,7,6,1,2] => 110110 => [2,1,2,1] => 72
[5,4,3,7,6,2,1] => 110111 => [2,1,3] => 34
[5,4,6,1,2,3,7] => 101000 => [1,1,1,3] => 48
[5,4,6,1,2,7,3] => 101001 => [1,1,1,2,1] => 104
[5,4,6,1,3,2,7] => 101010 => [1,1,1,1,1,1] => 132
[5,4,6,1,3,7,2] => 101001 => [1,1,1,2,1] => 104
[5,4,6,1,7,2,3] => 101010 => [1,1,1,1,1,1] => 132
[5,4,6,1,7,3,2] => 101011 => [1,1,1,1,2] => 90
[5,4,6,2,1,3,7] => 101100 => [1,1,2,2] => 75
[5,4,6,2,1,7,3] => 101101 => [1,1,2,1,1] => 107
[5,4,6,2,3,1,7] => 101010 => [1,1,1,1,1,1] => 132
[5,4,6,2,3,7,1] => 101001 => [1,1,1,2,1] => 104
[5,4,6,2,7,1,3] => 101010 => [1,1,1,1,1,1] => 132
[5,4,6,2,7,3,1] => 101011 => [1,1,1,1,2] => 90
[5,4,6,3,1,2,7] => 101100 => [1,1,2,2] => 75
[5,4,6,3,1,7,2] => 101101 => [1,1,2,1,1] => 107
[5,4,6,3,2,1,7] => 101110 => [1,1,3,1] => 62
[5,4,6,3,2,7,1] => 101101 => [1,1,2,1,1] => 107
[5,4,6,3,7,1,2] => 101010 => [1,1,1,1,1,1] => 132
[5,4,6,3,7,2,1] => 101011 => [1,1,1,1,2] => 90
[5,4,6,7,1,2,3] => 100100 => [1,2,1,2] => 72
[5,4,6,7,1,3,2] => 100101 => [1,2,1,1,1] => 104
[5,4,6,7,2,1,3] => 100110 => [1,2,2,1] => 84
[5,4,6,7,2,3,1] => 100101 => [1,2,1,1,1] => 104
[5,4,6,7,3,1,2] => 100110 => [1,2,2,1] => 84
[5,4,6,7,3,2,1] => 100111 => [1,2,3] => 40
[5,4,7,1,2,3,6] => 101000 => [1,1,1,3] => 48
[5,4,7,1,2,6,3] => 101001 => [1,1,1,2,1] => 104
[5,4,7,1,3,2,6] => 101010 => [1,1,1,1,1,1] => 132
[5,4,7,1,3,6,2] => 101001 => [1,1,1,2,1] => 104
[5,4,7,1,6,2,3] => 101010 => [1,1,1,1,1,1] => 132
[5,4,7,1,6,3,2] => 101011 => [1,1,1,1,2] => 90
[5,4,7,2,1,3,6] => 101100 => [1,1,2,2] => 75
[5,4,7,2,1,6,3] => 101101 => [1,1,2,1,1] => 107
[5,4,7,2,3,1,6] => 101010 => [1,1,1,1,1,1] => 132
[5,4,7,2,3,6,1] => 101001 => [1,1,1,2,1] => 104
[5,4,7,2,6,1,3] => 101010 => [1,1,1,1,1,1] => 132
[5,4,7,2,6,3,1] => 101011 => [1,1,1,1,2] => 90
[5,4,7,3,1,2,6] => 101100 => [1,1,2,2] => 75
[5,4,7,3,1,6,2] => 101101 => [1,1,2,1,1] => 107
[5,4,7,3,2,1,6] => 101110 => [1,1,3,1] => 62
[5,4,7,3,2,6,1] => 101101 => [1,1,2,1,1] => 107
[5,4,7,3,6,1,2] => 101010 => [1,1,1,1,1,1] => 132
[5,4,7,3,6,2,1] => 101011 => [1,1,1,1,2] => 90
[5,4,7,6,1,2,3] => 101100 => [1,1,2,2] => 75
[5,4,7,6,1,3,2] => 101101 => [1,1,2,1,1] => 107
[5,4,7,6,2,1,3] => 101110 => [1,1,3,1] => 62
[5,4,7,6,2,3,1] => 101101 => [1,1,2,1,1] => 107
[5,4,7,6,3,1,2] => 101110 => [1,1,3,1] => 62
[5,4,7,6,3,2,1] => 101111 => [1,1,4] => 20
[5,6,1,2,3,4,7] => 010000 => [1,1,4] => 20
[5,6,1,2,3,7,4] => 010001 => [1,1,3,1] => 62
[5,6,1,2,4,3,7] => 010010 => [1,1,2,1,1] => 107
[5,6,1,2,4,7,3] => 010001 => [1,1,3,1] => 62
[5,6,1,2,7,3,4] => 010010 => [1,1,2,1,1] => 107
[5,6,1,2,7,4,3] => 010011 => [1,1,2,2] => 75
[5,6,1,3,2,4,7] => 010100 => [1,1,1,1,2] => 90
[5,6,1,3,2,7,4] => 010101 => [1,1,1,1,1,1] => 132
[5,6,1,3,4,2,7] => 010010 => [1,1,2,1,1] => 107
[5,6,1,3,4,7,2] => 010001 => [1,1,3,1] => 62
[5,6,1,3,7,2,4] => 010010 => [1,1,2,1,1] => 107
[5,6,1,3,7,4,2] => 010011 => [1,1,2,2] => 75
[5,6,1,4,2,3,7] => 010100 => [1,1,1,1,2] => 90
[5,6,1,4,2,7,3] => 010101 => [1,1,1,1,1,1] => 132
[5,6,1,4,3,2,7] => 010110 => [1,1,1,2,1] => 104
[5,6,1,4,3,7,2] => 010101 => [1,1,1,1,1,1] => 132
[5,6,1,4,7,2,3] => 010010 => [1,1,2,1,1] => 107
[5,6,1,4,7,3,2] => 010011 => [1,1,2,2] => 75
[5,6,1,7,2,3,4] => 010100 => [1,1,1,1,2] => 90
[5,6,1,7,2,4,3] => 010101 => [1,1,1,1,1,1] => 132
[5,6,1,7,3,2,4] => 010110 => [1,1,1,2,1] => 104
[5,6,1,7,3,4,2] => 010101 => [1,1,1,1,1,1] => 132
[5,6,1,7,4,2,3] => 010110 => [1,1,1,2,1] => 104
[5,6,1,7,4,3,2] => 010111 => [1,1,1,3] => 48
[5,6,2,1,3,4,7] => 011000 => [1,2,3] => 40
[5,6,2,1,3,7,4] => 011001 => [1,2,2,1] => 84
[5,6,2,1,4,3,7] => 011010 => [1,2,1,1,1] => 104
[5,6,2,1,4,7,3] => 011001 => [1,2,2,1] => 84
[5,6,2,1,7,3,4] => 011010 => [1,2,1,1,1] => 104
[5,6,2,1,7,4,3] => 011011 => [1,2,1,2] => 72
[5,6,2,3,1,4,7] => 010100 => [1,1,1,1,2] => 90
[5,6,2,3,1,7,4] => 010101 => [1,1,1,1,1,1] => 132
[5,6,2,3,4,1,7] => 010010 => [1,1,2,1,1] => 107
[5,6,2,3,4,7,1] => 010001 => [1,1,3,1] => 62
[5,6,2,3,7,1,4] => 010010 => [1,1,2,1,1] => 107
[5,6,2,3,7,4,1] => 010011 => [1,1,2,2] => 75
[5,6,2,4,1,3,7] => 010100 => [1,1,1,1,2] => 90
[5,6,2,4,1,7,3] => 010101 => [1,1,1,1,1,1] => 132
[5,6,2,4,3,1,7] => 010110 => [1,1,1,2,1] => 104
[5,6,2,4,3,7,1] => 010101 => [1,1,1,1,1,1] => 132
[5,6,2,4,7,1,3] => 010010 => [1,1,2,1,1] => 107
[5,6,2,4,7,3,1] => 010011 => [1,1,2,2] => 75
[5,6,2,7,1,3,4] => 010100 => [1,1,1,1,2] => 90
[5,6,2,7,1,4,3] => 010101 => [1,1,1,1,1,1] => 132
[5,6,2,7,3,1,4] => 010110 => [1,1,1,2,1] => 104
[5,6,2,7,3,4,1] => 010101 => [1,1,1,1,1,1] => 132
[5,6,2,7,4,1,3] => 010110 => [1,1,1,2,1] => 104
[5,6,2,7,4,3,1] => 010111 => [1,1,1,3] => 48
[5,6,3,1,2,4,7] => 011000 => [1,2,3] => 40
[5,6,3,1,2,7,4] => 011001 => [1,2,2,1] => 84
[5,6,3,1,4,2,7] => 011010 => [1,2,1,1,1] => 104
[5,6,3,1,4,7,2] => 011001 => [1,2,2,1] => 84
[5,6,3,1,7,2,4] => 011010 => [1,2,1,1,1] => 104
[5,6,3,1,7,4,2] => 011011 => [1,2,1,2] => 72
[5,6,3,2,1,4,7] => 011100 => [1,3,2] => 45
[5,6,3,2,1,7,4] => 011101 => [1,3,1,1] => 62
[5,6,3,2,4,1,7] => 011010 => [1,2,1,1,1] => 104
[5,6,3,2,4,7,1] => 011001 => [1,2,2,1] => 84
[5,6,3,2,7,1,4] => 011010 => [1,2,1,1,1] => 104
[5,6,3,2,7,4,1] => 011011 => [1,2,1,2] => 72
[5,6,3,4,1,2,7] => 010100 => [1,1,1,1,2] => 90
[5,6,3,4,1,7,2] => 010101 => [1,1,1,1,1,1] => 132
[5,6,3,4,2,1,7] => 010110 => [1,1,1,2,1] => 104
[5,6,3,4,2,7,1] => 010101 => [1,1,1,1,1,1] => 132
[5,6,3,4,7,1,2] => 010010 => [1,1,2,1,1] => 107
[5,6,3,4,7,2,1] => 010011 => [1,1,2,2] => 75
[5,6,3,7,1,2,4] => 010100 => [1,1,1,1,2] => 90
[5,6,3,7,1,4,2] => 010101 => [1,1,1,1,1,1] => 132
[5,6,3,7,2,1,4] => 010110 => [1,1,1,2,1] => 104
[5,6,3,7,2,4,1] => 010101 => [1,1,1,1,1,1] => 132
[5,6,3,7,4,1,2] => 010110 => [1,1,1,2,1] => 104
[5,6,3,7,4,2,1] => 010111 => [1,1,1,3] => 48
[5,6,4,1,2,3,7] => 011000 => [1,2,3] => 40
[5,6,4,1,2,7,3] => 011001 => [1,2,2,1] => 84
[5,6,4,1,3,2,7] => 011010 => [1,2,1,1,1] => 104
[5,6,4,1,3,7,2] => 011001 => [1,2,2,1] => 84
[5,6,4,1,7,2,3] => 011010 => [1,2,1,1,1] => 104
[5,6,4,1,7,3,2] => 011011 => [1,2,1,2] => 72
[5,6,4,2,1,3,7] => 011100 => [1,3,2] => 45
[5,6,4,2,1,7,3] => 011101 => [1,3,1,1] => 62
[5,6,4,2,3,1,7] => 011010 => [1,2,1,1,1] => 104
[5,6,4,2,3,7,1] => 011001 => [1,2,2,1] => 84
[5,6,4,2,7,1,3] => 011010 => [1,2,1,1,1] => 104
[5,6,4,2,7,3,1] => 011011 => [1,2,1,2] => 72
[5,6,4,3,1,2,7] => 011100 => [1,3,2] => 45
[5,6,4,3,1,7,2] => 011101 => [1,3,1,1] => 62
[5,6,4,3,2,1,7] => 011110 => [1,4,1] => 26
[5,6,4,3,2,7,1] => 011101 => [1,3,1,1] => 62
[5,6,4,3,7,1,2] => 011010 => [1,2,1,1,1] => 104
[5,6,4,3,7,2,1] => 011011 => [1,2,1,2] => 72
[5,6,4,7,1,2,3] => 010100 => [1,1,1,1,2] => 90
[5,6,4,7,1,3,2] => 010101 => [1,1,1,1,1,1] => 132
[5,6,4,7,2,1,3] => 010110 => [1,1,1,2,1] => 104
[5,6,4,7,2,3,1] => 010101 => [1,1,1,1,1,1] => 132
[5,6,4,7,3,1,2] => 010110 => [1,1,1,2,1] => 104
[5,6,4,7,3,2,1] => 010111 => [1,1,1,3] => 48
[5,6,7,1,2,3,4] => 001000 => [2,1,3] => 34
[5,6,7,1,2,4,3] => 001001 => [2,1,2,1] => 72
[5,6,7,1,3,2,4] => 001010 => [2,1,1,1,1] => 90
[5,6,7,1,3,4,2] => 001001 => [2,1,2,1] => 72
[5,6,7,1,4,2,3] => 001010 => [2,1,1,1,1] => 90
[5,6,7,1,4,3,2] => 001011 => [2,1,1,2] => 62
[5,6,7,2,1,3,4] => 001100 => [2,2,2] => 53
[5,6,7,2,1,4,3] => 001101 => [2,2,1,1] => 75
[5,6,7,2,3,1,4] => 001010 => [2,1,1,1,1] => 90
[5,6,7,2,3,4,1] => 001001 => [2,1,2,1] => 72
[5,6,7,2,4,1,3] => 001010 => [2,1,1,1,1] => 90
[5,6,7,2,4,3,1] => 001011 => [2,1,1,2] => 62
[5,6,7,3,1,2,4] => 001100 => [2,2,2] => 53
[5,6,7,3,1,4,2] => 001101 => [2,2,1,1] => 75
[5,6,7,3,2,1,4] => 001110 => [2,3,1] => 45
[5,6,7,3,2,4,1] => 001101 => [2,2,1,1] => 75
[5,6,7,3,4,1,2] => 001010 => [2,1,1,1,1] => 90
[5,6,7,3,4,2,1] => 001011 => [2,1,1,2] => 62
[5,6,7,4,1,2,3] => 001100 => [2,2,2] => 53
[5,6,7,4,1,3,2] => 001101 => [2,2,1,1] => 75
[5,6,7,4,2,1,3] => 001110 => [2,3,1] => 45
[5,6,7,4,2,3,1] => 001101 => [2,2,1,1] => 75
[5,6,7,4,3,1,2] => 001110 => [2,3,1] => 45
[5,6,7,4,3,2,1] => 001111 => [2,4] => 15
[5,7,1,2,3,4,6] => 010000 => [1,1,4] => 20
[5,7,1,2,3,6,4] => 010001 => [1,1,3,1] => 62
[5,7,1,2,4,3,6] => 010010 => [1,1,2,1,1] => 107
[5,7,1,2,4,6,3] => 010001 => [1,1,3,1] => 62
[5,7,1,2,6,3,4] => 010010 => [1,1,2,1,1] => 107
[5,7,1,2,6,4,3] => 010011 => [1,1,2,2] => 75
[5,7,1,3,2,4,6] => 010100 => [1,1,1,1,2] => 90
[5,7,1,3,2,6,4] => 010101 => [1,1,1,1,1,1] => 132
[5,7,1,3,4,2,6] => 010010 => [1,1,2,1,1] => 107
[5,7,1,3,4,6,2] => 010001 => [1,1,3,1] => 62
[5,7,1,3,6,2,4] => 010010 => [1,1,2,1,1] => 107
[5,7,1,3,6,4,2] => 010011 => [1,1,2,2] => 75
[5,7,1,4,2,3,6] => 010100 => [1,1,1,1,2] => 90
[5,7,1,4,2,6,3] => 010101 => [1,1,1,1,1,1] => 132
[5,7,1,4,3,2,6] => 010110 => [1,1,1,2,1] => 104
[5,7,1,4,3,6,2] => 010101 => [1,1,1,1,1,1] => 132
[5,7,1,4,6,2,3] => 010010 => [1,1,2,1,1] => 107
[5,7,1,4,6,3,2] => 010011 => [1,1,2,2] => 75
[5,7,1,6,2,3,4] => 010100 => [1,1,1,1,2] => 90
[5,7,1,6,2,4,3] => 010101 => [1,1,1,1,1,1] => 132
[5,7,1,6,3,2,4] => 010110 => [1,1,1,2,1] => 104
[5,7,1,6,3,4,2] => 010101 => [1,1,1,1,1,1] => 132
[5,7,1,6,4,2,3] => 010110 => [1,1,1,2,1] => 104
[5,7,1,6,4,3,2] => 010111 => [1,1,1,3] => 48
[5,7,2,1,3,4,6] => 011000 => [1,2,3] => 40
[5,7,2,1,3,6,4] => 011001 => [1,2,2,1] => 84
[5,7,2,1,4,3,6] => 011010 => [1,2,1,1,1] => 104
[5,7,2,1,4,6,3] => 011001 => [1,2,2,1] => 84
[5,7,2,1,6,3,4] => 011010 => [1,2,1,1,1] => 104
[5,7,2,1,6,4,3] => 011011 => [1,2,1,2] => 72
[5,7,2,3,1,4,6] => 010100 => [1,1,1,1,2] => 90
[5,7,2,3,1,6,4] => 010101 => [1,1,1,1,1,1] => 132
[5,7,2,3,4,1,6] => 010010 => [1,1,2,1,1] => 107
[5,7,2,3,4,6,1] => 010001 => [1,1,3,1] => 62
[5,7,2,3,6,1,4] => 010010 => [1,1,2,1,1] => 107
[5,7,2,3,6,4,1] => 010011 => [1,1,2,2] => 75
[5,7,2,4,1,3,6] => 010100 => [1,1,1,1,2] => 90
[5,7,2,4,1,6,3] => 010101 => [1,1,1,1,1,1] => 132
[5,7,2,4,3,1,6] => 010110 => [1,1,1,2,1] => 104
[5,7,2,4,3,6,1] => 010101 => [1,1,1,1,1,1] => 132
[5,7,2,4,6,1,3] => 010010 => [1,1,2,1,1] => 107
[5,7,2,4,6,3,1] => 010011 => [1,1,2,2] => 75
[5,7,2,6,1,3,4] => 010100 => [1,1,1,1,2] => 90
[5,7,2,6,1,4,3] => 010101 => [1,1,1,1,1,1] => 132
[5,7,2,6,3,1,4] => 010110 => [1,1,1,2,1] => 104
[5,7,2,6,3,4,1] => 010101 => [1,1,1,1,1,1] => 132
[5,7,2,6,4,1,3] => 010110 => [1,1,1,2,1] => 104
[5,7,2,6,4,3,1] => 010111 => [1,1,1,3] => 48
[5,7,3,1,2,4,6] => 011000 => [1,2,3] => 40
[5,7,3,1,2,6,4] => 011001 => [1,2,2,1] => 84
[5,7,3,1,4,2,6] => 011010 => [1,2,1,1,1] => 104
[5,7,3,1,4,6,2] => 011001 => [1,2,2,1] => 84
[5,7,3,1,6,2,4] => 011010 => [1,2,1,1,1] => 104
[5,7,3,1,6,4,2] => 011011 => [1,2,1,2] => 72
[5,7,3,2,1,4,6] => 011100 => [1,3,2] => 45
[5,7,3,2,1,6,4] => 011101 => [1,3,1,1] => 62
[5,7,3,2,4,1,6] => 011010 => [1,2,1,1,1] => 104
[5,7,3,2,4,6,1] => 011001 => [1,2,2,1] => 84
[5,7,3,2,6,1,4] => 011010 => [1,2,1,1,1] => 104
[5,7,3,2,6,4,1] => 011011 => [1,2,1,2] => 72
[5,7,3,4,1,2,6] => 010100 => [1,1,1,1,2] => 90
[5,7,3,4,1,6,2] => 010101 => [1,1,1,1,1,1] => 132
[5,7,3,4,2,1,6] => 010110 => [1,1,1,2,1] => 104
[5,7,3,4,2,6,1] => 010101 => [1,1,1,1,1,1] => 132
[5,7,3,4,6,1,2] => 010010 => [1,1,2,1,1] => 107
[5,7,3,4,6,2,1] => 010011 => [1,1,2,2] => 75
[5,7,3,6,1,2,4] => 010100 => [1,1,1,1,2] => 90
[5,7,3,6,1,4,2] => 010101 => [1,1,1,1,1,1] => 132
[5,7,3,6,2,1,4] => 010110 => [1,1,1,2,1] => 104
[5,7,3,6,2,4,1] => 010101 => [1,1,1,1,1,1] => 132
[5,7,3,6,4,1,2] => 010110 => [1,1,1,2,1] => 104
[5,7,3,6,4,2,1] => 010111 => [1,1,1,3] => 48
[5,7,4,1,2,3,6] => 011000 => [1,2,3] => 40
[5,7,4,1,2,6,3] => 011001 => [1,2,2,1] => 84
[5,7,4,1,3,2,6] => 011010 => [1,2,1,1,1] => 104
[5,7,4,1,3,6,2] => 011001 => [1,2,2,1] => 84
[5,7,4,1,6,2,3] => 011010 => [1,2,1,1,1] => 104
[5,7,4,1,6,3,2] => 011011 => [1,2,1,2] => 72
[5,7,4,2,1,3,6] => 011100 => [1,3,2] => 45
[5,7,4,2,1,6,3] => 011101 => [1,3,1,1] => 62
[5,7,4,2,3,1,6] => 011010 => [1,2,1,1,1] => 104
[5,7,4,2,3,6,1] => 011001 => [1,2,2,1] => 84
[5,7,4,2,6,1,3] => 011010 => [1,2,1,1,1] => 104
[5,7,4,2,6,3,1] => 011011 => [1,2,1,2] => 72
[5,7,4,3,1,2,6] => 011100 => [1,3,2] => 45
[5,7,4,3,1,6,2] => 011101 => [1,3,1,1] => 62
[5,7,4,3,2,1,6] => 011110 => [1,4,1] => 26
[5,7,4,3,2,6,1] => 011101 => [1,3,1,1] => 62
[5,7,4,3,6,1,2] => 011010 => [1,2,1,1,1] => 104
[5,7,4,3,6,2,1] => 011011 => [1,2,1,2] => 72
[5,7,4,6,1,2,3] => 010100 => [1,1,1,1,2] => 90
[5,7,4,6,1,3,2] => 010101 => [1,1,1,1,1,1] => 132
[5,7,4,6,2,1,3] => 010110 => [1,1,1,2,1] => 104
[5,7,4,6,2,3,1] => 010101 => [1,1,1,1,1,1] => 132
[5,7,4,6,3,1,2] => 010110 => [1,1,1,2,1] => 104
[5,7,4,6,3,2,1] => 010111 => [1,1,1,3] => 48
[5,7,6,1,2,3,4] => 011000 => [1,2,3] => 40
[5,7,6,1,2,4,3] => 011001 => [1,2,2,1] => 84
[5,7,6,1,3,2,4] => 011010 => [1,2,1,1,1] => 104
[5,7,6,1,3,4,2] => 011001 => [1,2,2,1] => 84
[5,7,6,1,4,2,3] => 011010 => [1,2,1,1,1] => 104
[5,7,6,1,4,3,2] => 011011 => [1,2,1,2] => 72
[5,7,6,2,1,3,4] => 011100 => [1,3,2] => 45
[5,7,6,2,1,4,3] => 011101 => [1,3,1,1] => 62
[5,7,6,2,3,1,4] => 011010 => [1,2,1,1,1] => 104
[5,7,6,2,3,4,1] => 011001 => [1,2,2,1] => 84
[5,7,6,2,4,1,3] => 011010 => [1,2,1,1,1] => 104
[5,7,6,2,4,3,1] => 011011 => [1,2,1,2] => 72
[5,7,6,3,1,2,4] => 011100 => [1,3,2] => 45
[5,7,6,3,1,4,2] => 011101 => [1,3,1,1] => 62
[5,7,6,3,2,1,4] => 011110 => [1,4,1] => 26
[5,7,6,3,2,4,1] => 011101 => [1,3,1,1] => 62
[5,7,6,3,4,1,2] => 011010 => [1,2,1,1,1] => 104
[5,7,6,3,4,2,1] => 011011 => [1,2,1,2] => 72
[5,7,6,4,1,2,3] => 011100 => [1,3,2] => 45
[5,7,6,4,1,3,2] => 011101 => [1,3,1,1] => 62
[5,7,6,4,2,1,3] => 011110 => [1,4,1] => 26
[5,7,6,4,2,3,1] => 011101 => [1,3,1,1] => 62
[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] => 62
[6,1,2,3,5,7,4] => 100001 => [1,4,1] => 26
[6,1,2,3,7,4,5] => 100010 => [1,3,1,1] => 62
[6,1,2,3,7,5,4] => 100011 => [1,3,2] => 45
[6,1,2,4,3,5,7] => 100100 => [1,2,1,2] => 72
[6,1,2,4,3,7,5] => 100101 => [1,2,1,1,1] => 104
[6,1,2,4,5,3,7] => 100010 => [1,3,1,1] => 62
[6,1,2,4,5,7,3] => 100001 => [1,4,1] => 26
[6,1,2,4,7,3,5] => 100010 => [1,3,1,1] => 62
[6,1,2,4,7,5,3] => 100011 => [1,3,2] => 45
[6,1,2,5,3,4,7] => 100100 => [1,2,1,2] => 72
[6,1,2,5,3,7,4] => 100101 => [1,2,1,1,1] => 104
[6,1,2,5,4,3,7] => 100110 => [1,2,2,1] => 84
[6,1,2,5,4,7,3] => 100101 => [1,2,1,1,1] => 104
[6,1,2,5,7,3,4] => 100010 => [1,3,1,1] => 62
[6,1,2,5,7,4,3] => 100011 => [1,3,2] => 45
[6,1,2,7,3,4,5] => 100100 => [1,2,1,2] => 72
[6,1,2,7,3,5,4] => 100101 => [1,2,1,1,1] => 104
[6,1,2,7,4,3,5] => 100110 => [1,2,2,1] => 84
[6,1,2,7,4,5,3] => 100101 => [1,2,1,1,1] => 104
[6,1,2,7,5,3,4] => 100110 => [1,2,2,1] => 84
[6,1,2,7,5,4,3] => 100111 => [1,2,3] => 40
[6,1,3,2,4,5,7] => 101000 => [1,1,1,3] => 48
[6,1,3,2,4,7,5] => 101001 => [1,1,1,2,1] => 104
[6,1,3,2,5,4,7] => 101010 => [1,1,1,1,1,1] => 132
[6,1,3,2,5,7,4] => 101001 => [1,1,1,2,1] => 104
[6,1,3,2,7,4,5] => 101010 => [1,1,1,1,1,1] => 132
[6,1,3,2,7,5,4] => 101011 => [1,1,1,1,2] => 90
[6,1,3,4,2,5,7] => 100100 => [1,2,1,2] => 72
[6,1,3,4,2,7,5] => 100101 => [1,2,1,1,1] => 104
[6,1,3,4,5,2,7] => 100010 => [1,3,1,1] => 62
[6,1,3,4,5,7,2] => 100001 => [1,4,1] => 26
[6,1,3,4,7,2,5] => 100010 => [1,3,1,1] => 62
[6,1,3,4,7,5,2] => 100011 => [1,3,2] => 45
[6,1,3,5,2,4,7] => 100100 => [1,2,1,2] => 72
[6,1,3,5,2,7,4] => 100101 => [1,2,1,1,1] => 104
[6,1,3,5,4,2,7] => 100110 => [1,2,2,1] => 84
[6,1,3,5,4,7,2] => 100101 => [1,2,1,1,1] => 104
[6,1,3,5,7,2,4] => 100010 => [1,3,1,1] => 62
[6,1,3,5,7,4,2] => 100011 => [1,3,2] => 45
[6,1,3,7,2,4,5] => 100100 => [1,2,1,2] => 72
[6,1,3,7,2,5,4] => 100101 => [1,2,1,1,1] => 104
[6,1,3,7,4,2,5] => 100110 => [1,2,2,1] => 84
[6,1,3,7,4,5,2] => 100101 => [1,2,1,1,1] => 104
[6,1,3,7,5,2,4] => 100110 => [1,2,2,1] => 84
[6,1,3,7,5,4,2] => 100111 => [1,2,3] => 40
[6,1,4,2,3,5,7] => 101000 => [1,1,1,3] => 48
[6,1,4,2,3,7,5] => 101001 => [1,1,1,2,1] => 104
[6,1,4,2,5,3,7] => 101010 => [1,1,1,1,1,1] => 132
[6,1,4,2,5,7,3] => 101001 => [1,1,1,2,1] => 104
[6,1,4,2,7,3,5] => 101010 => [1,1,1,1,1,1] => 132
[6,1,4,2,7,5,3] => 101011 => [1,1,1,1,2] => 90
[6,1,4,3,2,5,7] => 101100 => [1,1,2,2] => 75
[6,1,4,3,2,7,5] => 101101 => [1,1,2,1,1] => 107
[6,1,4,3,5,2,7] => 101010 => [1,1,1,1,1,1] => 132
[6,1,4,3,5,7,2] => 101001 => [1,1,1,2,1] => 104
[6,1,4,3,7,2,5] => 101010 => [1,1,1,1,1,1] => 132
[6,1,4,3,7,5,2] => 101011 => [1,1,1,1,2] => 90
[6,1,4,5,2,3,7] => 100100 => [1,2,1,2] => 72
[6,1,4,5,2,7,3] => 100101 => [1,2,1,1,1] => 104
[6,1,4,5,3,2,7] => 100110 => [1,2,2,1] => 84
[6,1,4,5,3,7,2] => 100101 => [1,2,1,1,1] => 104
[6,1,4,5,7,2,3] => 100010 => [1,3,1,1] => 62
[6,1,4,5,7,3,2] => 100011 => [1,3,2] => 45
[6,1,4,7,2,3,5] => 100100 => [1,2,1,2] => 72
[6,1,4,7,2,5,3] => 100101 => [1,2,1,1,1] => 104
[6,1,4,7,3,2,5] => 100110 => [1,2,2,1] => 84
[6,1,4,7,3,5,2] => 100101 => [1,2,1,1,1] => 104
[6,1,4,7,5,2,3] => 100110 => [1,2,2,1] => 84
[6,1,4,7,5,3,2] => 100111 => [1,2,3] => 40
[6,1,5,2,3,4,7] => 101000 => [1,1,1,3] => 48
[6,1,5,2,3,7,4] => 101001 => [1,1,1,2,1] => 104
[6,1,5,2,4,3,7] => 101010 => [1,1,1,1,1,1] => 132
[6,1,5,2,4,7,3] => 101001 => [1,1,1,2,1] => 104
[6,1,5,2,7,3,4] => 101010 => [1,1,1,1,1,1] => 132
[6,1,5,2,7,4,3] => 101011 => [1,1,1,1,2] => 90
[6,1,5,3,2,4,7] => 101100 => [1,1,2,2] => 75
[6,1,5,3,2,7,4] => 101101 => [1,1,2,1,1] => 107
[6,1,5,3,4,2,7] => 101010 => [1,1,1,1,1,1] => 132
[6,1,5,3,4,7,2] => 101001 => [1,1,1,2,1] => 104
[6,1,5,3,7,2,4] => 101010 => [1,1,1,1,1,1] => 132
[6,1,5,3,7,4,2] => 101011 => [1,1,1,1,2] => 90
[6,1,5,4,2,3,7] => 101100 => [1,1,2,2] => 75
[6,1,5,4,2,7,3] => 101101 => [1,1,2,1,1] => 107
[6,1,5,4,3,2,7] => 101110 => [1,1,3,1] => 62
[6,1,5,4,3,7,2] => 101101 => [1,1,2,1,1] => 107
[6,1,5,4,7,2,3] => 101010 => [1,1,1,1,1,1] => 132
[6,1,5,4,7,3,2] => 101011 => [1,1,1,1,2] => 90
[6,1,5,7,2,3,4] => 100100 => [1,2,1,2] => 72
[6,1,5,7,2,4,3] => 100101 => [1,2,1,1,1] => 104
[6,1,5,7,3,2,4] => 100110 => [1,2,2,1] => 84
[6,1,5,7,3,4,2] => 100101 => [1,2,1,1,1] => 104
[6,1,5,7,4,2,3] => 100110 => [1,2,2,1] => 84
[6,1,5,7,4,3,2] => 100111 => [1,2,3] => 40
[6,1,7,2,3,4,5] => 101000 => [1,1,1,3] => 48
[6,1,7,2,3,5,4] => 101001 => [1,1,1,2,1] => 104
[6,1,7,2,4,3,5] => 101010 => [1,1,1,1,1,1] => 132
[6,1,7,2,4,5,3] => 101001 => [1,1,1,2,1] => 104
[6,1,7,2,5,3,4] => 101010 => [1,1,1,1,1,1] => 132
[6,1,7,2,5,4,3] => 101011 => [1,1,1,1,2] => 90
[6,1,7,3,2,4,5] => 101100 => [1,1,2,2] => 75
[6,1,7,3,2,5,4] => 101101 => [1,1,2,1,1] => 107
[6,1,7,3,4,2,5] => 101010 => [1,1,1,1,1,1] => 132
[6,1,7,3,4,5,2] => 101001 => [1,1,1,2,1] => 104
[6,1,7,3,5,2,4] => 101010 => [1,1,1,1,1,1] => 132
[6,1,7,3,5,4,2] => 101011 => [1,1,1,1,2] => 90
[6,1,7,4,2,3,5] => 101100 => [1,1,2,2] => 75
[6,1,7,4,2,5,3] => 101101 => [1,1,2,1,1] => 107
[6,1,7,4,3,2,5] => 101110 => [1,1,3,1] => 62
[6,1,7,4,3,5,2] => 101101 => [1,1,2,1,1] => 107
[6,1,7,4,5,2,3] => 101010 => [1,1,1,1,1,1] => 132
[6,1,7,4,5,3,2] => 101011 => [1,1,1,1,2] => 90
[6,1,7,5,2,3,4] => 101100 => [1,1,2,2] => 75
[6,1,7,5,2,4,3] => 101101 => [1,1,2,1,1] => 107
[6,1,7,5,3,2,4] => 101110 => [1,1,3,1] => 62
[6,1,7,5,3,4,2] => 101101 => [1,1,2,1,1] => 107
[6,1,7,5,4,2,3] => 101110 => [1,1,3,1] => 62
[6,1,7,5,4,3,2] => 101111 => [1,1,4] => 20
[6,2,1,3,4,5,7] => 110000 => [2,4] => 15
[6,2,1,3,4,7,5] => 110001 => [2,3,1] => 45
[6,2,1,3,5,4,7] => 110010 => [2,2,1,1] => 75
[6,2,1,3,5,7,4] => 110001 => [2,3,1] => 45
[6,2,1,3,7,4,5] => 110010 => [2,2,1,1] => 75
[6,2,1,3,7,5,4] => 110011 => [2,2,2] => 53
[6,2,1,4,3,5,7] => 110100 => [2,1,1,2] => 62
[6,2,1,4,3,7,5] => 110101 => [2,1,1,1,1] => 90
[6,2,1,4,5,3,7] => 110010 => [2,2,1,1] => 75
[6,2,1,4,5,7,3] => 110001 => [2,3,1] => 45
[6,2,1,4,7,3,5] => 110010 => [2,2,1,1] => 75
[6,2,1,4,7,5,3] => 110011 => [2,2,2] => 53
[6,2,1,5,3,4,7] => 110100 => [2,1,1,2] => 62
[6,2,1,5,3,7,4] => 110101 => [2,1,1,1,1] => 90
[6,2,1,5,4,3,7] => 110110 => [2,1,2,1] => 72
[6,2,1,5,4,7,3] => 110101 => [2,1,1,1,1] => 90
[6,2,1,5,7,3,4] => 110010 => [2,2,1,1] => 75
[6,2,1,5,7,4,3] => 110011 => [2,2,2] => 53
[6,2,1,7,3,4,5] => 110100 => [2,1,1,2] => 62
[6,2,1,7,3,5,4] => 110101 => [2,1,1,1,1] => 90
[6,2,1,7,4,3,5] => 110110 => [2,1,2,1] => 72
[6,2,1,7,4,5,3] => 110101 => [2,1,1,1,1] => 90
[6,2,1,7,5,3,4] => 110110 => [2,1,2,1] => 72
[6,2,1,7,5,4,3] => 110111 => [2,1,3] => 34
[6,2,3,1,4,5,7] => 101000 => [1,1,1,3] => 48
[6,2,3,1,4,7,5] => 101001 => [1,1,1,2,1] => 104
[6,2,3,1,5,4,7] => 101010 => [1,1,1,1,1,1] => 132
[6,2,3,1,5,7,4] => 101001 => [1,1,1,2,1] => 104
[6,2,3,1,7,4,5] => 101010 => [1,1,1,1,1,1] => 132
[6,2,3,1,7,5,4] => 101011 => [1,1,1,1,2] => 90
[6,2,3,4,1,5,7] => 100100 => [1,2,1,2] => 72
[6,2,3,4,1,7,5] => 100101 => [1,2,1,1,1] => 104
[6,2,3,4,5,1,7] => 100010 => [1,3,1,1] => 62
[6,2,3,4,5,7,1] => 100001 => [1,4,1] => 26
[6,2,3,4,7,1,5] => 100010 => [1,3,1,1] => 62
[6,2,3,4,7,5,1] => 100011 => [1,3,2] => 45
[6,2,3,5,1,4,7] => 100100 => [1,2,1,2] => 72
[6,2,3,5,1,7,4] => 100101 => [1,2,1,1,1] => 104
[6,2,3,5,4,1,7] => 100110 => [1,2,2,1] => 84
[6,2,3,5,4,7,1] => 100101 => [1,2,1,1,1] => 104
[6,2,3,5,7,1,4] => 100010 => [1,3,1,1] => 62
[6,2,3,5,7,4,1] => 100011 => [1,3,2] => 45
[6,2,3,7,1,4,5] => 100100 => [1,2,1,2] => 72
[6,2,3,7,1,5,4] => 100101 => [1,2,1,1,1] => 104
[6,2,3,7,4,1,5] => 100110 => [1,2,2,1] => 84
[6,2,3,7,4,5,1] => 100101 => [1,2,1,1,1] => 104
[6,2,3,7,5,1,4] => 100110 => [1,2,2,1] => 84
[6,2,3,7,5,4,1] => 100111 => [1,2,3] => 40
[6,2,4,1,3,5,7] => 101000 => [1,1,1,3] => 48
[6,2,4,1,3,7,5] => 101001 => [1,1,1,2,1] => 104
[6,2,4,1,5,3,7] => 101010 => [1,1,1,1,1,1] => 132
[6,2,4,1,5,7,3] => 101001 => [1,1,1,2,1] => 104
[6,2,4,1,7,3,5] => 101010 => [1,1,1,1,1,1] => 132
[6,2,4,1,7,5,3] => 101011 => [1,1,1,1,2] => 90
[6,2,4,3,1,5,7] => 101100 => [1,1,2,2] => 75
[6,2,4,3,1,7,5] => 101101 => [1,1,2,1,1] => 107
[6,2,4,3,5,1,7] => 101010 => [1,1,1,1,1,1] => 132
[6,2,4,3,5,7,1] => 101001 => [1,1,1,2,1] => 104
[6,2,4,3,7,1,5] => 101010 => [1,1,1,1,1,1] => 132
[6,2,4,3,7,5,1] => 101011 => [1,1,1,1,2] => 90
[6,2,4,5,1,3,7] => 100100 => [1,2,1,2] => 72
[6,2,4,5,1,7,3] => 100101 => [1,2,1,1,1] => 104
[6,2,4,5,3,1,7] => 100110 => [1,2,2,1] => 84
[6,2,4,5,3,7,1] => 100101 => [1,2,1,1,1] => 104
[6,2,4,5,7,1,3] => 100010 => [1,3,1,1] => 62
[6,2,4,5,7,3,1] => 100011 => [1,3,2] => 45
[6,2,4,7,1,3,5] => 100100 => [1,2,1,2] => 72
[6,2,4,7,1,5,3] => 100101 => [1,2,1,1,1] => 104
[6,2,4,7,3,1,5] => 100110 => [1,2,2,1] => 84
[6,2,4,7,3,5,1] => 100101 => [1,2,1,1,1] => 104
[6,2,4,7,5,1,3] => 100110 => [1,2,2,1] => 84
[6,2,4,7,5,3,1] => 100111 => [1,2,3] => 40
[6,2,5,1,3,4,7] => 101000 => [1,1,1,3] => 48
[6,2,5,1,3,7,4] => 101001 => [1,1,1,2,1] => 104
[6,2,5,1,4,3,7] => 101010 => [1,1,1,1,1,1] => 132
[6,2,5,1,4,7,3] => 101001 => [1,1,1,2,1] => 104
[6,2,5,1,7,3,4] => 101010 => [1,1,1,1,1,1] => 132
[6,2,5,1,7,4,3] => 101011 => [1,1,1,1,2] => 90
[6,2,5,3,1,4,7] => 101100 => [1,1,2,2] => 75
[6,2,5,3,1,7,4] => 101101 => [1,1,2,1,1] => 107
[6,2,5,3,4,1,7] => 101010 => [1,1,1,1,1,1] => 132
[6,2,5,3,4,7,1] => 101001 => [1,1,1,2,1] => 104
[6,2,5,3,7,1,4] => 101010 => [1,1,1,1,1,1] => 132
[6,2,5,3,7,4,1] => 101011 => [1,1,1,1,2] => 90
[6,2,5,4,1,3,7] => 101100 => [1,1,2,2] => 75
[6,2,5,4,1,7,3] => 101101 => [1,1,2,1,1] => 107
[6,2,5,4,3,1,7] => 101110 => [1,1,3,1] => 62
[6,2,5,4,3,7,1] => 101101 => [1,1,2,1,1] => 107
[6,2,5,4,7,1,3] => 101010 => [1,1,1,1,1,1] => 132
[6,2,5,4,7,3,1] => 101011 => [1,1,1,1,2] => 90
[6,2,5,7,1,3,4] => 100100 => [1,2,1,2] => 72
[6,2,5,7,1,4,3] => 100101 => [1,2,1,1,1] => 104
[6,2,5,7,3,1,4] => 100110 => [1,2,2,1] => 84
[6,2,5,7,3,4,1] => 100101 => [1,2,1,1,1] => 104
[6,2,5,7,4,1,3] => 100110 => [1,2,2,1] => 84
[6,2,5,7,4,3,1] => 100111 => [1,2,3] => 40
[6,2,7,1,3,4,5] => 101000 => [1,1,1,3] => 48
[6,2,7,1,3,5,4] => 101001 => [1,1,1,2,1] => 104
[6,2,7,1,4,3,5] => 101010 => [1,1,1,1,1,1] => 132
[6,2,7,1,4,5,3] => 101001 => [1,1,1,2,1] => 104
[6,2,7,1,5,3,4] => 101010 => [1,1,1,1,1,1] => 132
[6,2,7,1,5,4,3] => 101011 => [1,1,1,1,2] => 90
[6,2,7,3,1,4,5] => 101100 => [1,1,2,2] => 75
[6,2,7,3,1,5,4] => 101101 => [1,1,2,1,1] => 107
[6,2,7,3,4,1,5] => 101010 => [1,1,1,1,1,1] => 132
[6,2,7,3,4,5,1] => 101001 => [1,1,1,2,1] => 104
[6,2,7,3,5,1,4] => 101010 => [1,1,1,1,1,1] => 132
[6,2,7,3,5,4,1] => 101011 => [1,1,1,1,2] => 90
[6,2,7,4,1,3,5] => 101100 => [1,1,2,2] => 75
[6,2,7,4,1,5,3] => 101101 => [1,1,2,1,1] => 107
[6,2,7,4,3,1,5] => 101110 => [1,1,3,1] => 62
[6,2,7,4,3,5,1] => 101101 => [1,1,2,1,1] => 107
[6,2,7,4,5,1,3] => 101010 => [1,1,1,1,1,1] => 132
[6,2,7,4,5,3,1] => 101011 => [1,1,1,1,2] => 90
[6,2,7,5,1,3,4] => 101100 => [1,1,2,2] => 75
[6,2,7,5,1,4,3] => 101101 => [1,1,2,1,1] => 107
[6,2,7,5,3,1,4] => 101110 => [1,1,3,1] => 62
[6,2,7,5,3,4,1] => 101101 => [1,1,2,1,1] => 107
[6,2,7,5,4,1,3] => 101110 => [1,1,3,1] => 62
[6,2,7,5,4,3,1] => 101111 => [1,1,4] => 20
[6,3,1,2,4,5,7] => 110000 => [2,4] => 15
[6,3,1,2,4,7,5] => 110001 => [2,3,1] => 45
[6,3,1,2,5,4,7] => 110010 => [2,2,1,1] => 75
[6,3,1,2,5,7,4] => 110001 => [2,3,1] => 45
[6,3,1,2,7,4,5] => 110010 => [2,2,1,1] => 75
[6,3,1,2,7,5,4] => 110011 => [2,2,2] => 53
[6,3,1,4,2,5,7] => 110100 => [2,1,1,2] => 62
[6,3,1,4,2,7,5] => 110101 => [2,1,1,1,1] => 90
[6,3,1,4,5,2,7] => 110010 => [2,2,1,1] => 75
[6,3,1,4,5,7,2] => 110001 => [2,3,1] => 45
[6,3,1,4,7,2,5] => 110010 => [2,2,1,1] => 75
[6,3,1,4,7,5,2] => 110011 => [2,2,2] => 53
[6,3,1,5,2,4,7] => 110100 => [2,1,1,2] => 62
[6,3,1,5,2,7,4] => 110101 => [2,1,1,1,1] => 90
[6,3,1,5,4,2,7] => 110110 => [2,1,2,1] => 72
[6,3,1,5,4,7,2] => 110101 => [2,1,1,1,1] => 90
[6,3,1,5,7,2,4] => 110010 => [2,2,1,1] => 75
[6,3,1,5,7,4,2] => 110011 => [2,2,2] => 53
[6,3,1,7,2,4,5] => 110100 => [2,1,1,2] => 62
[6,3,1,7,2,5,4] => 110101 => [2,1,1,1,1] => 90
[6,3,1,7,4,2,5] => 110110 => [2,1,2,1] => 72
[6,3,1,7,4,5,2] => 110101 => [2,1,1,1,1] => 90
[6,3,1,7,5,2,4] => 110110 => [2,1,2,1] => 72
[6,3,1,7,5,4,2] => 110111 => [2,1,3] => 34
[6,3,2,1,4,5,7] => 111000 => [3,3] => 20
[6,3,2,1,4,7,5] => 111001 => [3,2,1] => 40
[6,3,2,1,5,4,7] => 111010 => [3,1,1,1] => 48
[6,3,2,1,5,7,4] => 111001 => [3,2,1] => 40
[6,3,2,1,7,4,5] => 111010 => [3,1,1,1] => 48
[6,3,2,1,7,5,4] => 111011 => [3,1,2] => 34
[6,3,2,4,1,5,7] => 110100 => [2,1,1,2] => 62
[6,3,2,4,1,7,5] => 110101 => [2,1,1,1,1] => 90
[6,3,2,4,5,1,7] => 110010 => [2,2,1,1] => 75
[6,3,2,4,5,7,1] => 110001 => [2,3,1] => 45
[6,3,2,4,7,1,5] => 110010 => [2,2,1,1] => 75
[6,3,2,4,7,5,1] => 110011 => [2,2,2] => 53
[6,3,2,5,1,4,7] => 110100 => [2,1,1,2] => 62
[6,3,2,5,1,7,4] => 110101 => [2,1,1,1,1] => 90
[6,3,2,5,4,1,7] => 110110 => [2,1,2,1] => 72
[6,3,2,5,4,7,1] => 110101 => [2,1,1,1,1] => 90
[6,3,2,5,7,1,4] => 110010 => [2,2,1,1] => 75
[6,3,2,5,7,4,1] => 110011 => [2,2,2] => 53
[6,3,2,7,1,4,5] => 110100 => [2,1,1,2] => 62
[6,3,2,7,1,5,4] => 110101 => [2,1,1,1,1] => 90
[6,3,2,7,4,1,5] => 110110 => [2,1,2,1] => 72
[6,3,2,7,4,5,1] => 110101 => [2,1,1,1,1] => 90
[6,3,2,7,5,1,4] => 110110 => [2,1,2,1] => 72
[6,3,2,7,5,4,1] => 110111 => [2,1,3] => 34
[6,3,4,1,2,5,7] => 101000 => [1,1,1,3] => 48
[6,3,4,1,2,7,5] => 101001 => [1,1,1,2,1] => 104
[6,3,4,1,5,2,7] => 101010 => [1,1,1,1,1,1] => 132
[6,3,4,1,5,7,2] => 101001 => [1,1,1,2,1] => 104
[6,3,4,1,7,2,5] => 101010 => [1,1,1,1,1,1] => 132
[6,3,4,1,7,5,2] => 101011 => [1,1,1,1,2] => 90
[6,3,4,2,1,5,7] => 101100 => [1,1,2,2] => 75
[6,3,4,2,1,7,5] => 101101 => [1,1,2,1,1] => 107
[6,3,4,2,5,1,7] => 101010 => [1,1,1,1,1,1] => 132
[6,3,4,2,5,7,1] => 101001 => [1,1,1,2,1] => 104
[6,3,4,2,7,1,5] => 101010 => [1,1,1,1,1,1] => 132
[6,3,4,2,7,5,1] => 101011 => [1,1,1,1,2] => 90
[6,3,4,5,1,2,7] => 100100 => [1,2,1,2] => 72
[6,3,4,5,1,7,2] => 100101 => [1,2,1,1,1] => 104
[6,3,4,5,2,1,7] => 100110 => [1,2,2,1] => 84
[6,3,4,5,2,7,1] => 100101 => [1,2,1,1,1] => 104
[6,3,4,5,7,1,2] => 100010 => [1,3,1,1] => 62
[6,3,4,5,7,2,1] => 100011 => [1,3,2] => 45
[6,3,4,7,1,2,5] => 100100 => [1,2,1,2] => 72
[6,3,4,7,1,5,2] => 100101 => [1,2,1,1,1] => 104
[6,3,4,7,2,1,5] => 100110 => [1,2,2,1] => 84
[6,3,4,7,2,5,1] => 100101 => [1,2,1,1,1] => 104
[6,3,4,7,5,1,2] => 100110 => [1,2,2,1] => 84
[6,3,4,7,5,2,1] => 100111 => [1,2,3] => 40
[6,3,5,1,2,4,7] => 101000 => [1,1,1,3] => 48
[6,3,5,1,2,7,4] => 101001 => [1,1,1,2,1] => 104
[6,3,5,1,4,2,7] => 101010 => [1,1,1,1,1,1] => 132
[6,3,5,1,4,7,2] => 101001 => [1,1,1,2,1] => 104
[6,3,5,1,7,2,4] => 101010 => [1,1,1,1,1,1] => 132
[6,3,5,1,7,4,2] => 101011 => [1,1,1,1,2] => 90
[6,3,5,2,1,4,7] => 101100 => [1,1,2,2] => 75
[6,3,5,2,1,7,4] => 101101 => [1,1,2,1,1] => 107
[6,3,5,2,4,1,7] => 101010 => [1,1,1,1,1,1] => 132
[6,3,5,2,4,7,1] => 101001 => [1,1,1,2,1] => 104
[6,3,5,2,7,1,4] => 101010 => [1,1,1,1,1,1] => 132
[6,3,5,2,7,4,1] => 101011 => [1,1,1,1,2] => 90
[6,3,5,4,1,2,7] => 101100 => [1,1,2,2] => 75
[6,3,5,4,1,7,2] => 101101 => [1,1,2,1,1] => 107
[6,3,5,4,2,1,7] => 101110 => [1,1,3,1] => 62
[6,3,5,4,2,7,1] => 101101 => [1,1,2,1,1] => 107
[6,3,5,4,7,1,2] => 101010 => [1,1,1,1,1,1] => 132
[6,3,5,4,7,2,1] => 101011 => [1,1,1,1,2] => 90
[6,3,5,7,1,2,4] => 100100 => [1,2,1,2] => 72
[6,3,5,7,1,4,2] => 100101 => [1,2,1,1,1] => 104
[6,3,5,7,2,1,4] => 100110 => [1,2,2,1] => 84
[6,3,5,7,2,4,1] => 100101 => [1,2,1,1,1] => 104
[6,3,5,7,4,1,2] => 100110 => [1,2,2,1] => 84
[6,3,5,7,4,2,1] => 100111 => [1,2,3] => 40
[6,3,7,1,2,4,5] => 101000 => [1,1,1,3] => 48
[6,3,7,1,2,5,4] => 101001 => [1,1,1,2,1] => 104
[6,3,7,1,4,2,5] => 101010 => [1,1,1,1,1,1] => 132
[6,3,7,1,4,5,2] => 101001 => [1,1,1,2,1] => 104
[6,3,7,1,5,2,4] => 101010 => [1,1,1,1,1,1] => 132
[6,3,7,1,5,4,2] => 101011 => [1,1,1,1,2] => 90
[6,3,7,2,1,4,5] => 101100 => [1,1,2,2] => 75
[6,3,7,2,1,5,4] => 101101 => [1,1,2,1,1] => 107
[6,3,7,2,4,1,5] => 101010 => [1,1,1,1,1,1] => 132
[6,3,7,2,4,5,1] => 101001 => [1,1,1,2,1] => 104
[6,3,7,2,5,1,4] => 101010 => [1,1,1,1,1,1] => 132
[6,3,7,2,5,4,1] => 101011 => [1,1,1,1,2] => 90
[6,3,7,4,1,2,5] => 101100 => [1,1,2,2] => 75
[6,3,7,4,1,5,2] => 101101 => [1,1,2,1,1] => 107
[6,3,7,4,2,1,5] => 101110 => [1,1,3,1] => 62
[6,3,7,4,2,5,1] => 101101 => [1,1,2,1,1] => 107
[6,3,7,4,5,1,2] => 101010 => [1,1,1,1,1,1] => 132
[6,3,7,4,5,2,1] => 101011 => [1,1,1,1,2] => 90
[6,3,7,5,1,2,4] => 101100 => [1,1,2,2] => 75
[6,3,7,5,1,4,2] => 101101 => [1,1,2,1,1] => 107
[6,3,7,5,2,1,4] => 101110 => [1,1,3,1] => 62
[6,3,7,5,2,4,1] => 101101 => [1,1,2,1,1] => 107
[6,3,7,5,4,1,2] => 101110 => [1,1,3,1] => 62
[6,3,7,5,4,2,1] => 101111 => [1,1,4] => 20
[6,4,1,2,3,5,7] => 110000 => [2,4] => 15
[6,4,1,2,3,7,5] => 110001 => [2,3,1] => 45
[6,4,1,2,5,3,7] => 110010 => [2,2,1,1] => 75
[6,4,1,2,5,7,3] => 110001 => [2,3,1] => 45
[6,4,1,2,7,3,5] => 110010 => [2,2,1,1] => 75
[6,4,1,2,7,5,3] => 110011 => [2,2,2] => 53
[6,4,1,3,2,5,7] => 110100 => [2,1,1,2] => 62
[6,4,1,3,2,7,5] => 110101 => [2,1,1,1,1] => 90
[6,4,1,3,5,2,7] => 110010 => [2,2,1,1] => 75
[6,4,1,3,5,7,2] => 110001 => [2,3,1] => 45
[6,4,1,3,7,2,5] => 110010 => [2,2,1,1] => 75
[6,4,1,3,7,5,2] => 110011 => [2,2,2] => 53
[6,4,1,5,2,3,7] => 110100 => [2,1,1,2] => 62
[6,4,1,5,2,7,3] => 110101 => [2,1,1,1,1] => 90
[6,4,1,5,3,2,7] => 110110 => [2,1,2,1] => 72
[6,4,1,5,3,7,2] => 110101 => [2,1,1,1,1] => 90
[6,4,1,5,7,2,3] => 110010 => [2,2,1,1] => 75
[6,4,1,5,7,3,2] => 110011 => [2,2,2] => 53
[6,4,1,7,2,3,5] => 110100 => [2,1,1,2] => 62
[6,4,1,7,2,5,3] => 110101 => [2,1,1,1,1] => 90
[6,4,1,7,3,2,5] => 110110 => [2,1,2,1] => 72
[6,4,1,7,3,5,2] => 110101 => [2,1,1,1,1] => 90
[6,4,1,7,5,2,3] => 110110 => [2,1,2,1] => 72
[6,4,1,7,5,3,2] => 110111 => [2,1,3] => 34
[6,4,2,1,3,5,7] => 111000 => [3,3] => 20
[6,4,2,1,3,7,5] => 111001 => [3,2,1] => 40
[6,4,2,1,5,3,7] => 111010 => [3,1,1,1] => 48
[6,4,2,1,5,7,3] => 111001 => [3,2,1] => 40
[6,4,2,1,7,3,5] => 111010 => [3,1,1,1] => 48
[6,4,2,1,7,5,3] => 111011 => [3,1,2] => 34
[6,4,2,3,1,5,7] => 110100 => [2,1,1,2] => 62
[6,4,2,3,1,7,5] => 110101 => [2,1,1,1,1] => 90
[6,4,2,3,5,1,7] => 110010 => [2,2,1,1] => 75
[6,4,2,3,5,7,1] => 110001 => [2,3,1] => 45
[6,4,2,3,7,1,5] => 110010 => [2,2,1,1] => 75
[6,4,2,3,7,5,1] => 110011 => [2,2,2] => 53
[6,4,2,5,1,3,7] => 110100 => [2,1,1,2] => 62
[6,4,2,5,1,7,3] => 110101 => [2,1,1,1,1] => 90
[6,4,2,5,3,1,7] => 110110 => [2,1,2,1] => 72
[6,4,2,5,3,7,1] => 110101 => [2,1,1,1,1] => 90
[6,4,2,5,7,1,3] => 110010 => [2,2,1,1] => 75
[6,4,2,5,7,3,1] => 110011 => [2,2,2] => 53
[6,4,2,7,1,3,5] => 110100 => [2,1,1,2] => 62
[6,4,2,7,1,5,3] => 110101 => [2,1,1,1,1] => 90
[6,4,2,7,3,1,5] => 110110 => [2,1,2,1] => 72
[6,4,2,7,3,5,1] => 110101 => [2,1,1,1,1] => 90
[6,4,2,7,5,1,3] => 110110 => [2,1,2,1] => 72
[6,4,2,7,5,3,1] => 110111 => [2,1,3] => 34
[6,4,3,1,2,5,7] => 111000 => [3,3] => 20
[6,4,3,1,2,7,5] => 111001 => [3,2,1] => 40
[6,4,3,1,5,2,7] => 111010 => [3,1,1,1] => 48
[6,4,3,1,5,7,2] => 111001 => [3,2,1] => 40
[6,4,3,1,7,2,5] => 111010 => [3,1,1,1] => 48
[6,4,3,1,7,5,2] => 111011 => [3,1,2] => 34
[6,4,3,2,1,5,7] => 111100 => [4,2] => 15
[6,4,3,2,1,7,5] => 111101 => [4,1,1] => 20
[6,4,3,2,5,1,7] => 111010 => [3,1,1,1] => 48
[6,4,3,2,5,7,1] => 111001 => [3,2,1] => 40
[6,4,3,2,7,1,5] => 111010 => [3,1,1,1] => 48
[6,4,3,2,7,5,1] => 111011 => [3,1,2] => 34
[6,4,3,5,1,2,7] => 110100 => [2,1,1,2] => 62
[6,4,3,5,1,7,2] => 110101 => [2,1,1,1,1] => 90
[6,4,3,5,2,1,7] => 110110 => [2,1,2,1] => 72
[6,4,3,5,2,7,1] => 110101 => [2,1,1,1,1] => 90
[6,4,3,5,7,1,2] => 110010 => [2,2,1,1] => 75
[6,4,3,5,7,2,1] => 110011 => [2,2,2] => 53
[6,4,3,7,1,2,5] => 110100 => [2,1,1,2] => 62
[6,4,3,7,1,5,2] => 110101 => [2,1,1,1,1] => 90
[6,4,3,7,2,1,5] => 110110 => [2,1,2,1] => 72
[6,4,3,7,2,5,1] => 110101 => [2,1,1,1,1] => 90
[6,4,3,7,5,1,2] => 110110 => [2,1,2,1] => 72
[6,4,3,7,5,2,1] => 110111 => [2,1,3] => 34
[6,4,5,1,2,3,7] => 101000 => [1,1,1,3] => 48
[6,4,5,1,2,7,3] => 101001 => [1,1,1,2,1] => 104
[6,4,5,1,3,2,7] => 101010 => [1,1,1,1,1,1] => 132
[6,4,5,1,3,7,2] => 101001 => [1,1,1,2,1] => 104
[6,4,5,1,7,2,3] => 101010 => [1,1,1,1,1,1] => 132
[6,4,5,1,7,3,2] => 101011 => [1,1,1,1,2] => 90
[6,4,5,2,1,3,7] => 101100 => [1,1,2,2] => 75
[6,4,5,2,1,7,3] => 101101 => [1,1,2,1,1] => 107
[6,4,5,2,3,1,7] => 101010 => [1,1,1,1,1,1] => 132
[6,4,5,2,3,7,1] => 101001 => [1,1,1,2,1] => 104
[6,4,5,2,7,1,3] => 101010 => [1,1,1,1,1,1] => 132
[6,4,5,2,7,3,1] => 101011 => [1,1,1,1,2] => 90
[6,4,5,3,1,2,7] => 101100 => [1,1,2,2] => 75
[6,4,5,3,1,7,2] => 101101 => [1,1,2,1,1] => 107
[6,4,5,3,2,1,7] => 101110 => [1,1,3,1] => 62
[6,4,5,3,2,7,1] => 101101 => [1,1,2,1,1] => 107
[6,4,5,3,7,1,2] => 101010 => [1,1,1,1,1,1] => 132
[6,4,5,3,7,2,1] => 101011 => [1,1,1,1,2] => 90
[6,4,5,7,1,2,3] => 100100 => [1,2,1,2] => 72
[6,4,5,7,1,3,2] => 100101 => [1,2,1,1,1] => 104
[6,4,5,7,2,1,3] => 100110 => [1,2,2,1] => 84
[6,4,5,7,2,3,1] => 100101 => [1,2,1,1,1] => 104
[6,4,5,7,3,1,2] => 100110 => [1,2,2,1] => 84
[6,4,5,7,3,2,1] => 100111 => [1,2,3] => 40
[6,4,7,1,2,3,5] => 101000 => [1,1,1,3] => 48
[6,4,7,1,2,5,3] => 101001 => [1,1,1,2,1] => 104
[6,4,7,1,3,2,5] => 101010 => [1,1,1,1,1,1] => 132
[6,4,7,1,3,5,2] => 101001 => [1,1,1,2,1] => 104
[6,4,7,1,5,2,3] => 101010 => [1,1,1,1,1,1] => 132
[6,4,7,1,5,3,2] => 101011 => [1,1,1,1,2] => 90
[6,4,7,2,1,3,5] => 101100 => [1,1,2,2] => 75
[6,4,7,2,1,5,3] => 101101 => [1,1,2,1,1] => 107
[6,4,7,2,3,1,5] => 101010 => [1,1,1,1,1,1] => 132
[6,4,7,2,3,5,1] => 101001 => [1,1,1,2,1] => 104
[6,4,7,2,5,1,3] => 101010 => [1,1,1,1,1,1] => 132
[6,4,7,2,5,3,1] => 101011 => [1,1,1,1,2] => 90
[6,4,7,3,1,2,5] => 101100 => [1,1,2,2] => 75
[6,4,7,3,1,5,2] => 101101 => [1,1,2,1,1] => 107
[6,4,7,3,2,1,5] => 101110 => [1,1,3,1] => 62
[6,4,7,3,2,5,1] => 101101 => [1,1,2,1,1] => 107
[6,4,7,3,5,1,2] => 101010 => [1,1,1,1,1,1] => 132
[6,4,7,3,5,2,1] => 101011 => [1,1,1,1,2] => 90
[6,4,7,5,1,2,3] => 101100 => [1,1,2,2] => 75
[6,4,7,5,1,3,2] => 101101 => [1,1,2,1,1] => 107
[6,4,7,5,2,1,3] => 101110 => [1,1,3,1] => 62
[6,4,7,5,2,3,1] => 101101 => [1,1,2,1,1] => 107
[6,4,7,5,3,1,2] => 101110 => [1,1,3,1] => 62
[6,4,7,5,3,2,1] => 101111 => [1,1,4] => 20
[6,5,1,2,3,4,7] => 110000 => [2,4] => 15
[6,5,1,2,3,7,4] => 110001 => [2,3,1] => 45
[6,5,1,2,4,3,7] => 110010 => [2,2,1,1] => 75
[6,5,1,2,4,7,3] => 110001 => [2,3,1] => 45
[6,5,1,2,7,3,4] => 110010 => [2,2,1,1] => 75
[6,5,1,2,7,4,3] => 110011 => [2,2,2] => 53
[6,5,1,3,2,4,7] => 110100 => [2,1,1,2] => 62
[6,5,1,3,2,7,4] => 110101 => [2,1,1,1,1] => 90
[6,5,1,3,4,2,7] => 110010 => [2,2,1,1] => 75
[6,5,1,3,4,7,2] => 110001 => [2,3,1] => 45
[6,5,1,3,7,2,4] => 110010 => [2,2,1,1] => 75
[6,5,1,3,7,4,2] => 110011 => [2,2,2] => 53
[6,5,1,4,2,3,7] => 110100 => [2,1,1,2] => 62
[6,5,1,4,2,7,3] => 110101 => [2,1,1,1,1] => 90
[6,5,1,4,3,2,7] => 110110 => [2,1,2,1] => 72
[6,5,1,4,3,7,2] => 110101 => [2,1,1,1,1] => 90
[6,5,1,4,7,2,3] => 110010 => [2,2,1,1] => 75
[6,5,1,4,7,3,2] => 110011 => [2,2,2] => 53
[6,5,1,7,2,3,4] => 110100 => [2,1,1,2] => 62
[6,5,1,7,2,4,3] => 110101 => [2,1,1,1,1] => 90
[6,5,1,7,3,2,4] => 110110 => [2,1,2,1] => 72
[6,5,1,7,3,4,2] => 110101 => [2,1,1,1,1] => 90
[6,5,1,7,4,2,3] => 110110 => [2,1,2,1] => 72
[6,5,1,7,4,3,2] => 110111 => [2,1,3] => 34
[6,5,2,1,3,4,7] => 111000 => [3,3] => 20
[6,5,2,1,3,7,4] => 111001 => [3,2,1] => 40
[6,5,2,1,4,3,7] => 111010 => [3,1,1,1] => 48
[6,5,2,1,4,7,3] => 111001 => [3,2,1] => 40
[6,5,2,1,7,3,4] => 111010 => [3,1,1,1] => 48
[6,5,2,1,7,4,3] => 111011 => [3,1,2] => 34
[6,5,2,3,1,4,7] => 110100 => [2,1,1,2] => 62
[6,5,2,3,1,7,4] => 110101 => [2,1,1,1,1] => 90
[6,5,2,3,4,1,7] => 110010 => [2,2,1,1] => 75
[6,5,2,3,4,7,1] => 110001 => [2,3,1] => 45
[6,5,2,3,7,1,4] => 110010 => [2,2,1,1] => 75
[6,5,2,3,7,4,1] => 110011 => [2,2,2] => 53
[6,5,2,4,1,3,7] => 110100 => [2,1,1,2] => 62
[6,5,2,4,1,7,3] => 110101 => [2,1,1,1,1] => 90
[6,5,2,4,3,1,7] => 110110 => [2,1,2,1] => 72
[6,5,2,4,3,7,1] => 110101 => [2,1,1,1,1] => 90
[6,5,2,4,7,1,3] => 110010 => [2,2,1,1] => 75
[6,5,2,4,7,3,1] => 110011 => [2,2,2] => 53
[6,5,2,7,1,3,4] => 110100 => [2,1,1,2] => 62
[6,5,2,7,1,4,3] => 110101 => [2,1,1,1,1] => 90
[6,5,2,7,3,1,4] => 110110 => [2,1,2,1] => 72
[6,5,2,7,3,4,1] => 110101 => [2,1,1,1,1] => 90
[6,5,2,7,4,1,3] => 110110 => [2,1,2,1] => 72
[6,5,2,7,4,3,1] => 110111 => [2,1,3] => 34
[6,5,3,1,2,4,7] => 111000 => [3,3] => 20
[6,5,3,1,2,7,4] => 111001 => [3,2,1] => 40
[6,5,3,1,4,2,7] => 111010 => [3,1,1,1] => 48
[6,5,3,1,4,7,2] => 111001 => [3,2,1] => 40
[6,5,3,1,7,2,4] => 111010 => [3,1,1,1] => 48
[6,5,3,1,7,4,2] => 111011 => [3,1,2] => 34
[6,5,3,2,1,4,7] => 111100 => [4,2] => 15
[6,5,3,2,1,7,4] => 111101 => [4,1,1] => 20
[6,5,3,2,4,1,7] => 111010 => [3,1,1,1] => 48
[6,5,3,2,4,7,1] => 111001 => [3,2,1] => 40
[6,5,3,2,7,1,4] => 111010 => [3,1,1,1] => 48
[6,5,3,2,7,4,1] => 111011 => [3,1,2] => 34
[6,5,3,4,1,2,7] => 110100 => [2,1,1,2] => 62
[6,5,3,4,1,7,2] => 110101 => [2,1,1,1,1] => 90
[6,5,3,4,2,1,7] => 110110 => [2,1,2,1] => 72
[6,5,3,4,2,7,1] => 110101 => [2,1,1,1,1] => 90
[6,5,3,4,7,1,2] => 110010 => [2,2,1,1] => 75
[6,5,3,4,7,2,1] => 110011 => [2,2,2] => 53
[6,5,3,7,1,2,4] => 110100 => [2,1,1,2] => 62
[6,5,3,7,1,4,2] => 110101 => [2,1,1,1,1] => 90
[6,5,3,7,2,1,4] => 110110 => [2,1,2,1] => 72
[6,5,3,7,2,4,1] => 110101 => [2,1,1,1,1] => 90
[6,5,3,7,4,1,2] => 110110 => [2,1,2,1] => 72
[6,5,3,7,4,2,1] => 110111 => [2,1,3] => 34
[6,5,4,1,2,3,7] => 111000 => [3,3] => 20
[6,5,4,1,2,7,3] => 111001 => [3,2,1] => 40
[6,5,4,1,3,2,7] => 111010 => [3,1,1,1] => 48
[6,5,4,1,3,7,2] => 111001 => [3,2,1] => 40
[6,5,4,1,7,2,3] => 111010 => [3,1,1,1] => 48
[6,5,4,1,7,3,2] => 111011 => [3,1,2] => 34
[6,5,4,2,1,3,7] => 111100 => [4,2] => 15
[6,5,4,2,1,7,3] => 111101 => [4,1,1] => 20
[6,5,4,2,3,1,7] => 111010 => [3,1,1,1] => 48
[6,5,4,2,3,7,1] => 111001 => [3,2,1] => 40
[6,5,4,2,7,1,3] => 111010 => [3,1,1,1] => 48
[6,5,4,2,7,3,1] => 111011 => [3,1,2] => 34
[6,5,4,3,1,2,7] => 111100 => [4,2] => 15
[6,5,4,3,1,7,2] => 111101 => [4,1,1] => 20
[6,5,4,3,2,1,7] => 111110 => [5,1] => 6
[6,5,4,3,2,7,1] => 111101 => [4,1,1] => 20
[6,5,4,3,7,1,2] => 111010 => [3,1,1,1] => 48
[6,5,4,3,7,2,1] => 111011 => [3,1,2] => 34
[6,5,4,7,1,2,3] => 110100 => [2,1,1,2] => 62
[6,5,4,7,1,3,2] => 110101 => [2,1,1,1,1] => 90
[6,5,4,7,2,1,3] => 110110 => [2,1,2,1] => 72
[6,5,4,7,2,3,1] => 110101 => [2,1,1,1,1] => 90
[6,5,4,7,3,1,2] => 110110 => [2,1,2,1] => 72
[6,5,4,7,3,2,1] => 110111 => [2,1,3] => 34
[6,5,7,1,2,3,4] => 101000 => [1,1,1,3] => 48
[6,5,7,1,2,4,3] => 101001 => [1,1,1,2,1] => 104
[6,5,7,1,3,2,4] => 101010 => [1,1,1,1,1,1] => 132
[6,5,7,1,3,4,2] => 101001 => [1,1,1,2,1] => 104
[6,5,7,1,4,2,3] => 101010 => [1,1,1,1,1,1] => 132
[6,5,7,1,4,3,2] => 101011 => [1,1,1,1,2] => 90
[6,5,7,2,1,3,4] => 101100 => [1,1,2,2] => 75
[6,5,7,2,1,4,3] => 101101 => [1,1,2,1,1] => 107
[6,5,7,2,3,1,4] => 101010 => [1,1,1,1,1,1] => 132
[6,5,7,2,3,4,1] => 101001 => [1,1,1,2,1] => 104
[6,5,7,2,4,1,3] => 101010 => [1,1,1,1,1,1] => 132
[6,5,7,2,4,3,1] => 101011 => [1,1,1,1,2] => 90
[6,5,7,3,1,2,4] => 101100 => [1,1,2,2] => 75
[6,5,7,3,1,4,2] => 101101 => [1,1,2,1,1] => 107
[6,5,7,3,2,1,4] => 101110 => [1,1,3,1] => 62
[6,5,7,3,2,4,1] => 101101 => [1,1,2,1,1] => 107
[6,5,7,3,4,1,2] => 101010 => [1,1,1,1,1,1] => 132
[6,5,7,3,4,2,1] => 101011 => [1,1,1,1,2] => 90
[6,5,7,4,1,2,3] => 101100 => [1,1,2,2] => 75
[6,5,7,4,1,3,2] => 101101 => [1,1,2,1,1] => 107
[6,5,7,4,2,1,3] => 101110 => [1,1,3,1] => 62
[6,5,7,4,2,3,1] => 101101 => [1,1,2,1,1] => 107
[6,5,7,4,3,1,2] => 101110 => [1,1,3,1] => 62
[6,5,7,4,3,2,1] => 101111 => [1,1,4] => 20
[6,7,1,2,3,4,5] => 010000 => [1,1,4] => 20
[6,7,1,2,3,5,4] => 010001 => [1,1,3,1] => 62
[6,7,1,2,4,3,5] => 010010 => [1,1,2,1,1] => 107
[6,7,1,2,4,5,3] => 010001 => [1,1,3,1] => 62
[6,7,1,2,5,3,4] => 010010 => [1,1,2,1,1] => 107
[6,7,1,2,5,4,3] => 010011 => [1,1,2,2] => 75
[6,7,1,3,2,4,5] => 010100 => [1,1,1,1,2] => 90
[6,7,1,3,2,5,4] => 010101 => [1,1,1,1,1,1] => 132
[6,7,1,3,4,2,5] => 010010 => [1,1,2,1,1] => 107
[6,7,1,3,4,5,2] => 010001 => [1,1,3,1] => 62
[6,7,1,3,5,2,4] => 010010 => [1,1,2,1,1] => 107
[6,7,1,3,5,4,2] => 010011 => [1,1,2,2] => 75
[6,7,1,4,2,3,5] => 010100 => [1,1,1,1,2] => 90
[6,7,1,4,2,5,3] => 010101 => [1,1,1,1,1,1] => 132
[6,7,1,4,3,2,5] => 010110 => [1,1,1,2,1] => 104
[6,7,1,4,3,5,2] => 010101 => [1,1,1,1,1,1] => 132
[6,7,1,4,5,2,3] => 010010 => [1,1,2,1,1] => 107
[6,7,1,4,5,3,2] => 010011 => [1,1,2,2] => 75
[6,7,1,5,2,3,4] => 010100 => [1,1,1,1,2] => 90
[6,7,1,5,2,4,3] => 010101 => [1,1,1,1,1,1] => 132
[6,7,1,5,3,2,4] => 010110 => [1,1,1,2,1] => 104
[6,7,1,5,3,4,2] => 010101 => [1,1,1,1,1,1] => 132
[6,7,1,5,4,2,3] => 010110 => [1,1,1,2,1] => 104
[6,7,1,5,4,3,2] => 010111 => [1,1,1,3] => 48
[6,7,2,1,3,4,5] => 011000 => [1,2,3] => 40
[6,7,2,1,3,5,4] => 011001 => [1,2,2,1] => 84
[6,7,2,1,4,3,5] => 011010 => [1,2,1,1,1] => 104
[6,7,2,1,4,5,3] => 011001 => [1,2,2,1] => 84
[6,7,2,1,5,3,4] => 011010 => [1,2,1,1,1] => 104
[6,7,2,1,5,4,3] => 011011 => [1,2,1,2] => 72
[6,7,2,3,1,4,5] => 010100 => [1,1,1,1,2] => 90
[6,7,2,3,1,5,4] => 010101 => [1,1,1,1,1,1] => 132
[6,7,2,3,4,1,5] => 010010 => [1,1,2,1,1] => 107
[6,7,2,3,4,5,1] => 010001 => [1,1,3,1] => 62
[6,7,2,3,5,1,4] => 010010 => [1,1,2,1,1] => 107
[6,7,2,3,5,4,1] => 010011 => [1,1,2,2] => 75
[6,7,2,4,1,3,5] => 010100 => [1,1,1,1,2] => 90
[6,7,2,4,1,5,3] => 010101 => [1,1,1,1,1,1] => 132
[6,7,2,4,3,1,5] => 010110 => [1,1,1,2,1] => 104
[6,7,2,4,3,5,1] => 010101 => [1,1,1,1,1,1] => 132
[6,7,2,4,5,1,3] => 010010 => [1,1,2,1,1] => 107
[6,7,2,4,5,3,1] => 010011 => [1,1,2,2] => 75
[6,7,2,5,1,3,4] => 010100 => [1,1,1,1,2] => 90
[6,7,2,5,1,4,3] => 010101 => [1,1,1,1,1,1] => 132
[6,7,2,5,3,1,4] => 010110 => [1,1,1,2,1] => 104
[6,7,2,5,3,4,1] => 010101 => [1,1,1,1,1,1] => 132
[6,7,2,5,4,1,3] => 010110 => [1,1,1,2,1] => 104
[6,7,2,5,4,3,1] => 010111 => [1,1,1,3] => 48
[6,7,3,1,2,4,5] => 011000 => [1,2,3] => 40
[6,7,3,1,2,5,4] => 011001 => [1,2,2,1] => 84
[6,7,3,1,4,2,5] => 011010 => [1,2,1,1,1] => 104
[6,7,3,1,4,5,2] => 011001 => [1,2,2,1] => 84
[6,7,3,1,5,2,4] => 011010 => [1,2,1,1,1] => 104
[6,7,3,1,5,4,2] => 011011 => [1,2,1,2] => 72
[6,7,3,2,1,4,5] => 011100 => [1,3,2] => 45
[6,7,3,2,1,5,4] => 011101 => [1,3,1,1] => 62
[6,7,3,2,4,1,5] => 011010 => [1,2,1,1,1] => 104
[6,7,3,2,4,5,1] => 011001 => [1,2,2,1] => 84
[6,7,3,2,5,1,4] => 011010 => [1,2,1,1,1] => 104
[6,7,3,2,5,4,1] => 011011 => [1,2,1,2] => 72
[6,7,3,4,1,2,5] => 010100 => [1,1,1,1,2] => 90
[6,7,3,4,1,5,2] => 010101 => [1,1,1,1,1,1] => 132
[6,7,3,4,2,1,5] => 010110 => [1,1,1,2,1] => 104
[6,7,3,4,2,5,1] => 010101 => [1,1,1,1,1,1] => 132
[6,7,3,4,5,1,2] => 010010 => [1,1,2,1,1] => 107
[6,7,3,4,5,2,1] => 010011 => [1,1,2,2] => 75
[6,7,3,5,1,2,4] => 010100 => [1,1,1,1,2] => 90
[6,7,3,5,1,4,2] => 010101 => [1,1,1,1,1,1] => 132
[6,7,3,5,2,1,4] => 010110 => [1,1,1,2,1] => 104
[6,7,3,5,2,4,1] => 010101 => [1,1,1,1,1,1] => 132
[6,7,3,5,4,1,2] => 010110 => [1,1,1,2,1] => 104
[6,7,3,5,4,2,1] => 010111 => [1,1,1,3] => 48
[6,7,4,1,2,3,5] => 011000 => [1,2,3] => 40
[6,7,4,1,2,5,3] => 011001 => [1,2,2,1] => 84
[6,7,4,1,3,2,5] => 011010 => [1,2,1,1,1] => 104
[6,7,4,1,3,5,2] => 011001 => [1,2,2,1] => 84
[6,7,4,1,5,2,3] => 011010 => [1,2,1,1,1] => 104
[6,7,4,1,5,3,2] => 011011 => [1,2,1,2] => 72
[6,7,4,2,1,3,5] => 011100 => [1,3,2] => 45
[6,7,4,2,1,5,3] => 011101 => [1,3,1,1] => 62
[6,7,4,2,3,1,5] => 011010 => [1,2,1,1,1] => 104
[6,7,4,2,3,5,1] => 011001 => [1,2,2,1] => 84
[6,7,4,2,5,1,3] => 011010 => [1,2,1,1,1] => 104
[6,7,4,2,5,3,1] => 011011 => [1,2,1,2] => 72
[6,7,4,3,1,2,5] => 011100 => [1,3,2] => 45
[6,7,4,3,1,5,2] => 011101 => [1,3,1,1] => 62
[6,7,4,3,2,1,5] => 011110 => [1,4,1] => 26
[6,7,4,3,2,5,1] => 011101 => [1,3,1,1] => 62
[6,7,4,3,5,1,2] => 011010 => [1,2,1,1,1] => 104
[6,7,4,3,5,2,1] => 011011 => [1,2,1,2] => 72
[6,7,4,5,1,2,3] => 010100 => [1,1,1,1,2] => 90
[6,7,4,5,1,3,2] => 010101 => [1,1,1,1,1,1] => 132
[6,7,4,5,2,1,3] => 010110 => [1,1,1,2,1] => 104
[6,7,4,5,2,3,1] => 010101 => [1,1,1,1,1,1] => 132
[6,7,4,5,3,1,2] => 010110 => [1,1,1,2,1] => 104
[6,7,4,5,3,2,1] => 010111 => [1,1,1,3] => 48
[6,7,5,1,2,3,4] => 011000 => [1,2,3] => 40
[6,7,5,1,2,4,3] => 011001 => [1,2,2,1] => 84
[6,7,5,1,3,2,4] => 011010 => [1,2,1,1,1] => 104
[6,7,5,1,3,4,2] => 011001 => [1,2,2,1] => 84
[6,7,5,1,4,2,3] => 011010 => [1,2,1,1,1] => 104
[6,7,5,1,4,3,2] => 011011 => [1,2,1,2] => 72
[6,7,5,2,1,3,4] => 011100 => [1,3,2] => 45
[6,7,5,2,1,4,3] => 011101 => [1,3,1,1] => 62
[6,7,5,2,3,1,4] => 011010 => [1,2,1,1,1] => 104
[6,7,5,2,3,4,1] => 011001 => [1,2,2,1] => 84
[6,7,5,2,4,1,3] => 011010 => [1,2,1,1,1] => 104
[6,7,5,2,4,3,1] => 011011 => [1,2,1,2] => 72
[6,7,5,3,1,2,4] => 011100 => [1,3,2] => 45
[6,7,5,3,1,4,2] => 011101 => [1,3,1,1] => 62
[6,7,5,3,2,1,4] => 011110 => [1,4,1] => 26
[6,7,5,3,2,4,1] => 011101 => [1,3,1,1] => 62
[6,7,5,3,4,1,2] => 011010 => [1,2,1,1,1] => 104
[6,7,5,3,4,2,1] => 011011 => [1,2,1,2] => 72
[6,7,5,4,1,2,3] => 011100 => [1,3,2] => 45
[6,7,5,4,1,3,2] => 011101 => [1,3,1,1] => 62
[6,7,5,4,2,1,3] => 011110 => [1,4,1] => 26
[6,7,5,4,2,3,1] => 011101 => [1,3,1,1] => 62
[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] => 62
[7,1,2,3,5,6,4] => 100001 => [1,4,1] => 26
[7,1,2,3,6,4,5] => 100010 => [1,3,1,1] => 62
[7,1,2,3,6,5,4] => 100011 => [1,3,2] => 45
[7,1,2,4,3,5,6] => 100100 => [1,2,1,2] => 72
[7,1,2,4,3,6,5] => 100101 => [1,2,1,1,1] => 104
[7,1,2,4,5,3,6] => 100010 => [1,3,1,1] => 62
[7,1,2,4,5,6,3] => 100001 => [1,4,1] => 26
[7,1,2,4,6,3,5] => 100010 => [1,3,1,1] => 62
[7,1,2,4,6,5,3] => 100011 => [1,3,2] => 45
[7,1,2,5,3,4,6] => 100100 => [1,2,1,2] => 72
[7,1,2,5,3,6,4] => 100101 => [1,2,1,1,1] => 104
[7,1,2,5,4,3,6] => 100110 => [1,2,2,1] => 84
[7,1,2,5,4,6,3] => 100101 => [1,2,1,1,1] => 104
[7,1,2,5,6,3,4] => 100010 => [1,3,1,1] => 62
[7,1,2,5,6,4,3] => 100011 => [1,3,2] => 45
[7,1,2,6,3,4,5] => 100100 => [1,2,1,2] => 72
[7,1,2,6,3,5,4] => 100101 => [1,2,1,1,1] => 104
[7,1,2,6,4,3,5] => 100110 => [1,2,2,1] => 84
[7,1,2,6,4,5,3] => 100101 => [1,2,1,1,1] => 104
[7,1,2,6,5,3,4] => 100110 => [1,2,2,1] => 84
[7,1,2,6,5,4,3] => 100111 => [1,2,3] => 40
[7,1,3,2,4,5,6] => 101000 => [1,1,1,3] => 48
[7,1,3,2,4,6,5] => 101001 => [1,1,1,2,1] => 104
[7,1,3,2,5,4,6] => 101010 => [1,1,1,1,1,1] => 132
[7,1,3,2,5,6,4] => 101001 => [1,1,1,2,1] => 104
[7,1,3,2,6,4,5] => 101010 => [1,1,1,1,1,1] => 132
[7,1,3,2,6,5,4] => 101011 => [1,1,1,1,2] => 90
[7,1,3,4,2,5,6] => 100100 => [1,2,1,2] => 72
[7,1,3,4,2,6,5] => 100101 => [1,2,1,1,1] => 104
[7,1,3,4,5,2,6] => 100010 => [1,3,1,1] => 62
[7,1,3,4,5,6,2] => 100001 => [1,4,1] => 26
[7,1,3,4,6,2,5] => 100010 => [1,3,1,1] => 62
[7,1,3,4,6,5,2] => 100011 => [1,3,2] => 45
[7,1,3,5,2,4,6] => 100100 => [1,2,1,2] => 72
[7,1,3,5,2,6,4] => 100101 => [1,2,1,1,1] => 104
[7,1,3,5,4,2,6] => 100110 => [1,2,2,1] => 84
[7,1,3,5,4,6,2] => 100101 => [1,2,1,1,1] => 104
[7,1,3,5,6,2,4] => 100010 => [1,3,1,1] => 62
[7,1,3,5,6,4,2] => 100011 => [1,3,2] => 45
[7,1,3,6,2,4,5] => 100100 => [1,2,1,2] => 72
[7,1,3,6,2,5,4] => 100101 => [1,2,1,1,1] => 104
[7,1,3,6,4,2,5] => 100110 => [1,2,2,1] => 84
[7,1,3,6,4,5,2] => 100101 => [1,2,1,1,1] => 104
[7,1,3,6,5,2,4] => 100110 => [1,2,2,1] => 84
[7,1,3,6,5,4,2] => 100111 => [1,2,3] => 40
[7,1,4,2,3,5,6] => 101000 => [1,1,1,3] => 48
[7,1,4,2,3,6,5] => 101001 => [1,1,1,2,1] => 104
[7,1,4,2,5,3,6] => 101010 => [1,1,1,1,1,1] => 132
[7,1,4,2,5,6,3] => 101001 => [1,1,1,2,1] => 104
[7,1,4,2,6,3,5] => 101010 => [1,1,1,1,1,1] => 132
[7,1,4,2,6,5,3] => 101011 => [1,1,1,1,2] => 90
[7,1,4,3,2,5,6] => 101100 => [1,1,2,2] => 75
[7,1,4,3,2,6,5] => 101101 => [1,1,2,1,1] => 107
[7,1,4,3,5,2,6] => 101010 => [1,1,1,1,1,1] => 132
[7,1,4,3,5,6,2] => 101001 => [1,1,1,2,1] => 104
[7,1,4,3,6,2,5] => 101010 => [1,1,1,1,1,1] => 132
[7,1,4,3,6,5,2] => 101011 => [1,1,1,1,2] => 90
[7,1,4,5,2,3,6] => 100100 => [1,2,1,2] => 72
[7,1,4,5,2,6,3] => 100101 => [1,2,1,1,1] => 104
[7,1,4,5,3,2,6] => 100110 => [1,2,2,1] => 84
[7,1,4,5,3,6,2] => 100101 => [1,2,1,1,1] => 104
[7,1,4,5,6,2,3] => 100010 => [1,3,1,1] => 62
[7,1,4,5,6,3,2] => 100011 => [1,3,2] => 45
[7,1,4,6,2,3,5] => 100100 => [1,2,1,2] => 72
[7,1,4,6,2,5,3] => 100101 => [1,2,1,1,1] => 104
[7,1,4,6,3,2,5] => 100110 => [1,2,2,1] => 84
[7,1,4,6,3,5,2] => 100101 => [1,2,1,1,1] => 104
[7,1,4,6,5,2,3] => 100110 => [1,2,2,1] => 84
[7,1,4,6,5,3,2] => 100111 => [1,2,3] => 40
[7,1,5,2,3,4,6] => 101000 => [1,1,1,3] => 48
[7,1,5,2,3,6,4] => 101001 => [1,1,1,2,1] => 104
[7,1,5,2,4,3,6] => 101010 => [1,1,1,1,1,1] => 132
[7,1,5,2,4,6,3] => 101001 => [1,1,1,2,1] => 104
[7,1,5,2,6,3,4] => 101010 => [1,1,1,1,1,1] => 132
[7,1,5,2,6,4,3] => 101011 => [1,1,1,1,2] => 90
[7,1,5,3,2,4,6] => 101100 => [1,1,2,2] => 75
[7,1,5,3,2,6,4] => 101101 => [1,1,2,1,1] => 107
[7,1,5,3,4,2,6] => 101010 => [1,1,1,1,1,1] => 132
[7,1,5,3,4,6,2] => 101001 => [1,1,1,2,1] => 104
[7,1,5,3,6,2,4] => 101010 => [1,1,1,1,1,1] => 132
[7,1,5,3,6,4,2] => 101011 => [1,1,1,1,2] => 90
[7,1,5,4,2,3,6] => 101100 => [1,1,2,2] => 75
[7,1,5,4,2,6,3] => 101101 => [1,1,2,1,1] => 107
[7,1,5,4,3,2,6] => 101110 => [1,1,3,1] => 62
[7,1,5,4,3,6,2] => 101101 => [1,1,2,1,1] => 107
[7,1,5,4,6,2,3] => 101010 => [1,1,1,1,1,1] => 132
[7,1,5,4,6,3,2] => 101011 => [1,1,1,1,2] => 90
[7,1,5,6,2,3,4] => 100100 => [1,2,1,2] => 72
[7,1,5,6,2,4,3] => 100101 => [1,2,1,1,1] => 104
[7,1,5,6,3,2,4] => 100110 => [1,2,2,1] => 84
[7,1,5,6,3,4,2] => 100101 => [1,2,1,1,1] => 104
[7,1,5,6,4,2,3] => 100110 => [1,2,2,1] => 84
[7,1,5,6,4,3,2] => 100111 => [1,2,3] => 40
[7,1,6,2,3,4,5] => 101000 => [1,1,1,3] => 48
[7,1,6,2,3,5,4] => 101001 => [1,1,1,2,1] => 104
[7,1,6,2,4,3,5] => 101010 => [1,1,1,1,1,1] => 132
[7,1,6,2,4,5,3] => 101001 => [1,1,1,2,1] => 104
[7,1,6,2,5,3,4] => 101010 => [1,1,1,1,1,1] => 132
[7,1,6,2,5,4,3] => 101011 => [1,1,1,1,2] => 90
[7,1,6,3,2,4,5] => 101100 => [1,1,2,2] => 75
[7,1,6,3,2,5,4] => 101101 => [1,1,2,1,1] => 107
[7,1,6,3,4,2,5] => 101010 => [1,1,1,1,1,1] => 132
[7,1,6,3,4,5,2] => 101001 => [1,1,1,2,1] => 104
[7,1,6,3,5,2,4] => 101010 => [1,1,1,1,1,1] => 132
[7,1,6,3,5,4,2] => 101011 => [1,1,1,1,2] => 90
[7,1,6,4,2,3,5] => 101100 => [1,1,2,2] => 75
[7,1,6,4,2,5,3] => 101101 => [1,1,2,1,1] => 107
[7,1,6,4,3,2,5] => 101110 => [1,1,3,1] => 62
[7,1,6,4,3,5,2] => 101101 => [1,1,2,1,1] => 107
[7,1,6,4,5,2,3] => 101010 => [1,1,1,1,1,1] => 132
[7,1,6,4,5,3,2] => 101011 => [1,1,1,1,2] => 90
[7,1,6,5,2,3,4] => 101100 => [1,1,2,2] => 75
[7,1,6,5,2,4,3] => 101101 => [1,1,2,1,1] => 107
[7,1,6,5,3,2,4] => 101110 => [1,1,3,1] => 62
[7,1,6,5,3,4,2] => 101101 => [1,1,2,1,1] => 107
[7,1,6,5,4,2,3] => 101110 => [1,1,3,1] => 62
[7,1,6,5,4,3,2] => 101111 => [1,1,4] => 20
[7,2,1,3,4,5,6] => 110000 => [2,4] => 15
[7,2,1,3,4,6,5] => 110001 => [2,3,1] => 45
[7,2,1,3,5,4,6] => 110010 => [2,2,1,1] => 75
[7,2,1,3,5,6,4] => 110001 => [2,3,1] => 45
[7,2,1,3,6,4,5] => 110010 => [2,2,1,1] => 75
[7,2,1,3,6,5,4] => 110011 => [2,2,2] => 53
[7,2,1,4,3,5,6] => 110100 => [2,1,1,2] => 62
[7,2,1,4,3,6,5] => 110101 => [2,1,1,1,1] => 90
[7,2,1,4,5,3,6] => 110010 => [2,2,1,1] => 75
[7,2,1,4,5,6,3] => 110001 => [2,3,1] => 45
[7,2,1,4,6,3,5] => 110010 => [2,2,1,1] => 75
[7,2,1,4,6,5,3] => 110011 => [2,2,2] => 53
[7,2,1,5,3,4,6] => 110100 => [2,1,1,2] => 62
[7,2,1,5,3,6,4] => 110101 => [2,1,1,1,1] => 90
[7,2,1,5,4,3,6] => 110110 => [2,1,2,1] => 72
[7,2,1,5,4,6,3] => 110101 => [2,1,1,1,1] => 90
[7,2,1,5,6,3,4] => 110010 => [2,2,1,1] => 75
[7,2,1,5,6,4,3] => 110011 => [2,2,2] => 53
[7,2,1,6,3,4,5] => 110100 => [2,1,1,2] => 62
[7,2,1,6,3,5,4] => 110101 => [2,1,1,1,1] => 90
[7,2,1,6,4,3,5] => 110110 => [2,1,2,1] => 72
[7,2,1,6,4,5,3] => 110101 => [2,1,1,1,1] => 90
[7,2,1,6,5,3,4] => 110110 => [2,1,2,1] => 72
[7,2,1,6,5,4,3] => 110111 => [2,1,3] => 34
[7,2,3,1,4,5,6] => 101000 => [1,1,1,3] => 48
[7,2,3,1,4,6,5] => 101001 => [1,1,1,2,1] => 104
[7,2,3,1,5,4,6] => 101010 => [1,1,1,1,1,1] => 132
[7,2,3,1,5,6,4] => 101001 => [1,1,1,2,1] => 104
[7,2,3,1,6,4,5] => 101010 => [1,1,1,1,1,1] => 132
[7,2,3,1,6,5,4] => 101011 => [1,1,1,1,2] => 90
[7,2,3,4,1,5,6] => 100100 => [1,2,1,2] => 72
[7,2,3,4,1,6,5] => 100101 => [1,2,1,1,1] => 104
[7,2,3,4,5,1,6] => 100010 => [1,3,1,1] => 62
[7,2,3,4,5,6,1] => 100001 => [1,4,1] => 26
[7,2,3,4,6,1,5] => 100010 => [1,3,1,1] => 62
[7,2,3,4,6,5,1] => 100011 => [1,3,2] => 45
[7,2,3,5,1,4,6] => 100100 => [1,2,1,2] => 72
[7,2,3,5,1,6,4] => 100101 => [1,2,1,1,1] => 104
[7,2,3,5,4,1,6] => 100110 => [1,2,2,1] => 84
[7,2,3,5,4,6,1] => 100101 => [1,2,1,1,1] => 104
[7,2,3,5,6,1,4] => 100010 => [1,3,1,1] => 62
[7,2,3,5,6,4,1] => 100011 => [1,3,2] => 45
[7,2,3,6,1,4,5] => 100100 => [1,2,1,2] => 72
[7,2,3,6,1,5,4] => 100101 => [1,2,1,1,1] => 104
[7,2,3,6,4,1,5] => 100110 => [1,2,2,1] => 84
[7,2,3,6,4,5,1] => 100101 => [1,2,1,1,1] => 104
[7,2,3,6,5,1,4] => 100110 => [1,2,2,1] => 84
[7,2,3,6,5,4,1] => 100111 => [1,2,3] => 40
[7,2,4,1,3,5,6] => 101000 => [1,1,1,3] => 48
[7,2,4,1,3,6,5] => 101001 => [1,1,1,2,1] => 104
[7,2,4,1,5,3,6] => 101010 => [1,1,1,1,1,1] => 132
[7,2,4,1,5,6,3] => 101001 => [1,1,1,2,1] => 104
[7,2,4,1,6,3,5] => 101010 => [1,1,1,1,1,1] => 132
[7,2,4,1,6,5,3] => 101011 => [1,1,1,1,2] => 90
[7,2,4,3,1,5,6] => 101100 => [1,1,2,2] => 75
[7,2,4,3,1,6,5] => 101101 => [1,1,2,1,1] => 107
[7,2,4,3,5,1,6] => 101010 => [1,1,1,1,1,1] => 132
[7,2,4,3,5,6,1] => 101001 => [1,1,1,2,1] => 104
[7,2,4,3,6,1,5] => 101010 => [1,1,1,1,1,1] => 132
[7,2,4,3,6,5,1] => 101011 => [1,1,1,1,2] => 90
[7,2,4,5,1,3,6] => 100100 => [1,2,1,2] => 72
[7,2,4,5,1,6,3] => 100101 => [1,2,1,1,1] => 104
[7,2,4,5,3,1,6] => 100110 => [1,2,2,1] => 84
[7,2,4,5,3,6,1] => 100101 => [1,2,1,1,1] => 104
[7,2,4,5,6,1,3] => 100010 => [1,3,1,1] => 62
[7,2,4,5,6,3,1] => 100011 => [1,3,2] => 45
[7,2,4,6,1,3,5] => 100100 => [1,2,1,2] => 72
[7,2,4,6,1,5,3] => 100101 => [1,2,1,1,1] => 104
[7,2,4,6,3,1,5] => 100110 => [1,2,2,1] => 84
[7,2,4,6,3,5,1] => 100101 => [1,2,1,1,1] => 104
[7,2,4,6,5,1,3] => 100110 => [1,2,2,1] => 84
[7,2,4,6,5,3,1] => 100111 => [1,2,3] => 40
[7,2,5,1,3,4,6] => 101000 => [1,1,1,3] => 48
[7,2,5,1,3,6,4] => 101001 => [1,1,1,2,1] => 104
[7,2,5,1,4,3,6] => 101010 => [1,1,1,1,1,1] => 132
[7,2,5,1,4,6,3] => 101001 => [1,1,1,2,1] => 104
[7,2,5,1,6,3,4] => 101010 => [1,1,1,1,1,1] => 132
[7,2,5,1,6,4,3] => 101011 => [1,1,1,1,2] => 90
[7,2,5,3,1,4,6] => 101100 => [1,1,2,2] => 75
[7,2,5,3,1,6,4] => 101101 => [1,1,2,1,1] => 107
[7,2,5,3,4,1,6] => 101010 => [1,1,1,1,1,1] => 132
[7,2,5,3,4,6,1] => 101001 => [1,1,1,2,1] => 104
[7,2,5,3,6,1,4] => 101010 => [1,1,1,1,1,1] => 132
[7,2,5,3,6,4,1] => 101011 => [1,1,1,1,2] => 90
[7,2,5,4,1,3,6] => 101100 => [1,1,2,2] => 75
[7,2,5,4,1,6,3] => 101101 => [1,1,2,1,1] => 107
[7,2,5,4,3,1,6] => 101110 => [1,1,3,1] => 62
[7,2,5,4,3,6,1] => 101101 => [1,1,2,1,1] => 107
[7,2,5,4,6,1,3] => 101010 => [1,1,1,1,1,1] => 132
[7,2,5,4,6,3,1] => 101011 => [1,1,1,1,2] => 90
[7,2,5,6,1,3,4] => 100100 => [1,2,1,2] => 72
[7,2,5,6,1,4,3] => 100101 => [1,2,1,1,1] => 104
[7,2,5,6,3,1,4] => 100110 => [1,2,2,1] => 84
[7,2,5,6,3,4,1] => 100101 => [1,2,1,1,1] => 104
[7,2,5,6,4,1,3] => 100110 => [1,2,2,1] => 84
[7,2,5,6,4,3,1] => 100111 => [1,2,3] => 40
[7,2,6,1,3,4,5] => 101000 => [1,1,1,3] => 48
[7,2,6,1,3,5,4] => 101001 => [1,1,1,2,1] => 104
[7,2,6,1,4,3,5] => 101010 => [1,1,1,1,1,1] => 132
[7,2,6,1,4,5,3] => 101001 => [1,1,1,2,1] => 104
[7,2,6,1,5,3,4] => 101010 => [1,1,1,1,1,1] => 132
[7,2,6,1,5,4,3] => 101011 => [1,1,1,1,2] => 90
[7,2,6,3,1,4,5] => 101100 => [1,1,2,2] => 75
[7,2,6,3,1,5,4] => 101101 => [1,1,2,1,1] => 107
[7,2,6,3,4,1,5] => 101010 => [1,1,1,1,1,1] => 132
[7,2,6,3,4,5,1] => 101001 => [1,1,1,2,1] => 104
[7,2,6,3,5,1,4] => 101010 => [1,1,1,1,1,1] => 132
[7,2,6,3,5,4,1] => 101011 => [1,1,1,1,2] => 90
[7,2,6,4,1,3,5] => 101100 => [1,1,2,2] => 75
[7,2,6,4,1,5,3] => 101101 => [1,1,2,1,1] => 107
[7,2,6,4,3,1,5] => 101110 => [1,1,3,1] => 62
[7,2,6,4,3,5,1] => 101101 => [1,1,2,1,1] => 107
[7,2,6,4,5,1,3] => 101010 => [1,1,1,1,1,1] => 132
[7,2,6,4,5,3,1] => 101011 => [1,1,1,1,2] => 90
[7,2,6,5,1,3,4] => 101100 => [1,1,2,2] => 75
[7,2,6,5,1,4,3] => 101101 => [1,1,2,1,1] => 107
[7,2,6,5,3,1,4] => 101110 => [1,1,3,1] => 62
[7,2,6,5,3,4,1] => 101101 => [1,1,2,1,1] => 107
[7,2,6,5,4,1,3] => 101110 => [1,1,3,1] => 62
[7,2,6,5,4,3,1] => 101111 => [1,1,4] => 20
[7,3,1,2,4,5,6] => 110000 => [2,4] => 15
[7,3,1,2,4,6,5] => 110001 => [2,3,1] => 45
[7,3,1,2,5,4,6] => 110010 => [2,2,1,1] => 75
[7,3,1,2,5,6,4] => 110001 => [2,3,1] => 45
[7,3,1,2,6,4,5] => 110010 => [2,2,1,1] => 75
[7,3,1,2,6,5,4] => 110011 => [2,2,2] => 53
[7,3,1,4,2,5,6] => 110100 => [2,1,1,2] => 62
[7,3,1,4,2,6,5] => 110101 => [2,1,1,1,1] => 90
[7,3,1,4,5,2,6] => 110010 => [2,2,1,1] => 75
[7,3,1,4,5,6,2] => 110001 => [2,3,1] => 45
[7,3,1,4,6,2,5] => 110010 => [2,2,1,1] => 75
[7,3,1,4,6,5,2] => 110011 => [2,2,2] => 53
[7,3,1,5,2,4,6] => 110100 => [2,1,1,2] => 62
[7,3,1,5,2,6,4] => 110101 => [2,1,1,1,1] => 90
[7,3,1,5,4,2,6] => 110110 => [2,1,2,1] => 72
[7,3,1,5,4,6,2] => 110101 => [2,1,1,1,1] => 90
[7,3,1,5,6,2,4] => 110010 => [2,2,1,1] => 75
[7,3,1,5,6,4,2] => 110011 => [2,2,2] => 53
[7,3,1,6,2,4,5] => 110100 => [2,1,1,2] => 62
[7,3,1,6,2,5,4] => 110101 => [2,1,1,1,1] => 90
[7,3,1,6,4,2,5] => 110110 => [2,1,2,1] => 72
[7,3,1,6,4,5,2] => 110101 => [2,1,1,1,1] => 90
[7,3,1,6,5,2,4] => 110110 => [2,1,2,1] => 72
[7,3,1,6,5,4,2] => 110111 => [2,1,3] => 34
[7,3,2,1,4,5,6] => 111000 => [3,3] => 20
[7,3,2,1,4,6,5] => 111001 => [3,2,1] => 40
[7,3,2,1,5,4,6] => 111010 => [3,1,1,1] => 48
[7,3,2,1,5,6,4] => 111001 => [3,2,1] => 40
[7,3,2,1,6,4,5] => 111010 => [3,1,1,1] => 48
[7,3,2,1,6,5,4] => 111011 => [3,1,2] => 34
[7,3,2,4,1,5,6] => 110100 => [2,1,1,2] => 62
[7,3,2,4,1,6,5] => 110101 => [2,1,1,1,1] => 90
[7,3,2,4,5,1,6] => 110010 => [2,2,1,1] => 75
[7,3,2,4,5,6,1] => 110001 => [2,3,1] => 45
[7,3,2,4,6,1,5] => 110010 => [2,2,1,1] => 75
[7,3,2,4,6,5,1] => 110011 => [2,2,2] => 53
[7,3,2,5,1,4,6] => 110100 => [2,1,1,2] => 62
[7,3,2,5,1,6,4] => 110101 => [2,1,1,1,1] => 90
[7,3,2,5,4,1,6] => 110110 => [2,1,2,1] => 72
[7,3,2,5,4,6,1] => 110101 => [2,1,1,1,1] => 90
[7,3,2,5,6,1,4] => 110010 => [2,2,1,1] => 75
[7,3,2,5,6,4,1] => 110011 => [2,2,2] => 53
[7,3,2,6,1,4,5] => 110100 => [2,1,1,2] => 62
[7,3,2,6,1,5,4] => 110101 => [2,1,1,1,1] => 90
[7,3,2,6,4,1,5] => 110110 => [2,1,2,1] => 72
[7,3,2,6,4,5,1] => 110101 => [2,1,1,1,1] => 90
[7,3,2,6,5,1,4] => 110110 => [2,1,2,1] => 72
[7,3,2,6,5,4,1] => 110111 => [2,1,3] => 34
[7,3,4,1,2,5,6] => 101000 => [1,1,1,3] => 48
[7,3,4,1,2,6,5] => 101001 => [1,1,1,2,1] => 104
[7,3,4,1,5,2,6] => 101010 => [1,1,1,1,1,1] => 132
[7,3,4,1,5,6,2] => 101001 => [1,1,1,2,1] => 104
[7,3,4,1,6,2,5] => 101010 => [1,1,1,1,1,1] => 132
[7,3,4,1,6,5,2] => 101011 => [1,1,1,1,2] => 90
[7,3,4,2,1,5,6] => 101100 => [1,1,2,2] => 75
[7,3,4,2,1,6,5] => 101101 => [1,1,2,1,1] => 107
[7,3,4,2,5,1,6] => 101010 => [1,1,1,1,1,1] => 132
[7,3,4,2,5,6,1] => 101001 => [1,1,1,2,1] => 104
[7,3,4,2,6,1,5] => 101010 => [1,1,1,1,1,1] => 132
[7,3,4,2,6,5,1] => 101011 => [1,1,1,1,2] => 90
[7,3,4,5,1,2,6] => 100100 => [1,2,1,2] => 72
[7,3,4,5,1,6,2] => 100101 => [1,2,1,1,1] => 104
[7,3,4,5,2,1,6] => 100110 => [1,2,2,1] => 84
[7,3,4,5,2,6,1] => 100101 => [1,2,1,1,1] => 104
[7,3,4,5,6,1,2] => 100010 => [1,3,1,1] => 62
[7,3,4,5,6,2,1] => 100011 => [1,3,2] => 45
[7,3,4,6,1,2,5] => 100100 => [1,2,1,2] => 72
[7,3,4,6,1,5,2] => 100101 => [1,2,1,1,1] => 104
[7,3,4,6,2,1,5] => 100110 => [1,2,2,1] => 84
[7,3,4,6,2,5,1] => 100101 => [1,2,1,1,1] => 104
[7,3,4,6,5,1,2] => 100110 => [1,2,2,1] => 84
[7,3,4,6,5,2,1] => 100111 => [1,2,3] => 40
[7,3,5,1,2,4,6] => 101000 => [1,1,1,3] => 48
[7,3,5,1,2,6,4] => 101001 => [1,1,1,2,1] => 104
[7,3,5,1,4,2,6] => 101010 => [1,1,1,1,1,1] => 132
[7,3,5,1,4,6,2] => 101001 => [1,1,1,2,1] => 104
[7,3,5,1,6,2,4] => 101010 => [1,1,1,1,1,1] => 132
[7,3,5,1,6,4,2] => 101011 => [1,1,1,1,2] => 90
[7,3,5,2,1,4,6] => 101100 => [1,1,2,2] => 75
[7,3,5,2,1,6,4] => 101101 => [1,1,2,1,1] => 107
[7,3,5,2,4,1,6] => 101010 => [1,1,1,1,1,1] => 132
[7,3,5,2,4,6,1] => 101001 => [1,1,1,2,1] => 104
[7,3,5,2,6,1,4] => 101010 => [1,1,1,1,1,1] => 132
[7,3,5,2,6,4,1] => 101011 => [1,1,1,1,2] => 90
[7,3,5,4,1,2,6] => 101100 => [1,1,2,2] => 75
[7,3,5,4,1,6,2] => 101101 => [1,1,2,1,1] => 107
[7,3,5,4,2,1,6] => 101110 => [1,1,3,1] => 62
[7,3,5,4,2,6,1] => 101101 => [1,1,2,1,1] => 107
[7,3,5,4,6,1,2] => 101010 => [1,1,1,1,1,1] => 132
[7,3,5,4,6,2,1] => 101011 => [1,1,1,1,2] => 90
[7,3,5,6,1,2,4] => 100100 => [1,2,1,2] => 72
[7,3,5,6,1,4,2] => 100101 => [1,2,1,1,1] => 104
[7,3,5,6,2,1,4] => 100110 => [1,2,2,1] => 84
[7,3,5,6,2,4,1] => 100101 => [1,2,1,1,1] => 104
[7,3,5,6,4,1,2] => 100110 => [1,2,2,1] => 84
[7,3,5,6,4,2,1] => 100111 => [1,2,3] => 40
[7,3,6,1,2,4,5] => 101000 => [1,1,1,3] => 48
[7,3,6,1,2,5,4] => 101001 => [1,1,1,2,1] => 104
[7,3,6,1,4,2,5] => 101010 => [1,1,1,1,1,1] => 132
[7,3,6,1,4,5,2] => 101001 => [1,1,1,2,1] => 104
[7,3,6,1,5,2,4] => 101010 => [1,1,1,1,1,1] => 132
[7,3,6,1,5,4,2] => 101011 => [1,1,1,1,2] => 90
[7,3,6,2,1,4,5] => 101100 => [1,1,2,2] => 75
[7,3,6,2,1,5,4] => 101101 => [1,1,2,1,1] => 107
[7,3,6,2,4,1,5] => 101010 => [1,1,1,1,1,1] => 132
[7,3,6,2,4,5,1] => 101001 => [1,1,1,2,1] => 104
[7,3,6,2,5,1,4] => 101010 => [1,1,1,1,1,1] => 132
[7,3,6,2,5,4,1] => 101011 => [1,1,1,1,2] => 90
[7,3,6,4,1,2,5] => 101100 => [1,1,2,2] => 75
[7,3,6,4,1,5,2] => 101101 => [1,1,2,1,1] => 107
[7,3,6,4,2,1,5] => 101110 => [1,1,3,1] => 62
[7,3,6,4,2,5,1] => 101101 => [1,1,2,1,1] => 107
[7,3,6,4,5,1,2] => 101010 => [1,1,1,1,1,1] => 132
[7,3,6,4,5,2,1] => 101011 => [1,1,1,1,2] => 90
[7,3,6,5,1,2,4] => 101100 => [1,1,2,2] => 75
[7,3,6,5,1,4,2] => 101101 => [1,1,2,1,1] => 107
[7,3,6,5,2,1,4] => 101110 => [1,1,3,1] => 62
[7,3,6,5,2,4,1] => 101101 => [1,1,2,1,1] => 107
[7,3,6,5,4,1,2] => 101110 => [1,1,3,1] => 62
[7,3,6,5,4,2,1] => 101111 => [1,1,4] => 20
[7,4,1,2,3,5,6] => 110000 => [2,4] => 15
[7,4,1,2,3,6,5] => 110001 => [2,3,1] => 45
[7,4,1,2,5,3,6] => 110010 => [2,2,1,1] => 75
[7,4,1,2,5,6,3] => 110001 => [2,3,1] => 45
[7,4,1,2,6,3,5] => 110010 => [2,2,1,1] => 75
[7,4,1,2,6,5,3] => 110011 => [2,2,2] => 53
[7,4,1,3,2,5,6] => 110100 => [2,1,1,2] => 62
[7,4,1,3,2,6,5] => 110101 => [2,1,1,1,1] => 90
[7,4,1,3,5,2,6] => 110010 => [2,2,1,1] => 75
[7,4,1,3,5,6,2] => 110001 => [2,3,1] => 45
[7,4,1,3,6,2,5] => 110010 => [2,2,1,1] => 75
[7,4,1,3,6,5,2] => 110011 => [2,2,2] => 53
[7,4,1,5,2,3,6] => 110100 => [2,1,1,2] => 62
[7,4,1,5,2,6,3] => 110101 => [2,1,1,1,1] => 90
[7,4,1,5,3,2,6] => 110110 => [2,1,2,1] => 72
[7,4,1,5,3,6,2] => 110101 => [2,1,1,1,1] => 90
[7,4,1,5,6,2,3] => 110010 => [2,2,1,1] => 75
[7,4,1,5,6,3,2] => 110011 => [2,2,2] => 53
[7,4,1,6,2,3,5] => 110100 => [2,1,1,2] => 62
[7,4,1,6,2,5,3] => 110101 => [2,1,1,1,1] => 90
[7,4,1,6,3,2,5] => 110110 => [2,1,2,1] => 72
[7,4,1,6,3,5,2] => 110101 => [2,1,1,1,1] => 90
[7,4,1,6,5,2,3] => 110110 => [2,1,2,1] => 72
[7,4,1,6,5,3,2] => 110111 => [2,1,3] => 34
[7,4,2,1,3,5,6] => 111000 => [3,3] => 20
[7,4,2,1,3,6,5] => 111001 => [3,2,1] => 40
[7,4,2,1,5,3,6] => 111010 => [3,1,1,1] => 48
[7,4,2,1,5,6,3] => 111001 => [3,2,1] => 40
[7,4,2,1,6,3,5] => 111010 => [3,1,1,1] => 48
[7,4,2,1,6,5,3] => 111011 => [3,1,2] => 34
[7,4,2,3,1,5,6] => 110100 => [2,1,1,2] => 62
[7,4,2,3,1,6,5] => 110101 => [2,1,1,1,1] => 90
[7,4,2,3,5,1,6] => 110010 => [2,2,1,1] => 75
[7,4,2,3,5,6,1] => 110001 => [2,3,1] => 45
[7,4,2,3,6,1,5] => 110010 => [2,2,1,1] => 75
[7,4,2,3,6,5,1] => 110011 => [2,2,2] => 53
[7,4,2,5,1,3,6] => 110100 => [2,1,1,2] => 62
[7,4,2,5,1,6,3] => 110101 => [2,1,1,1,1] => 90
[7,4,2,5,3,1,6] => 110110 => [2,1,2,1] => 72
[7,4,2,5,3,6,1] => 110101 => [2,1,1,1,1] => 90
[7,4,2,5,6,1,3] => 110010 => [2,2,1,1] => 75
[7,4,2,5,6,3,1] => 110011 => [2,2,2] => 53
[7,4,2,6,1,3,5] => 110100 => [2,1,1,2] => 62
[7,4,2,6,1,5,3] => 110101 => [2,1,1,1,1] => 90
[7,4,2,6,3,1,5] => 110110 => [2,1,2,1] => 72
[7,4,2,6,3,5,1] => 110101 => [2,1,1,1,1] => 90
[7,4,2,6,5,1,3] => 110110 => [2,1,2,1] => 72
[7,4,2,6,5,3,1] => 110111 => [2,1,3] => 34
[7,4,3,1,2,5,6] => 111000 => [3,3] => 20
[7,4,3,1,2,6,5] => 111001 => [3,2,1] => 40
[7,4,3,1,5,2,6] => 111010 => [3,1,1,1] => 48
[7,4,3,1,5,6,2] => 111001 => [3,2,1] => 40
[7,4,3,1,6,2,5] => 111010 => [3,1,1,1] => 48
[7,4,3,1,6,5,2] => 111011 => [3,1,2] => 34
[7,4,3,2,1,5,6] => 111100 => [4,2] => 15
[7,4,3,2,1,6,5] => 111101 => [4,1,1] => 20
[7,4,3,2,5,1,6] => 111010 => [3,1,1,1] => 48
[7,4,3,2,5,6,1] => 111001 => [3,2,1] => 40
[7,4,3,2,6,1,5] => 111010 => [3,1,1,1] => 48
[7,4,3,2,6,5,1] => 111011 => [3,1,2] => 34
[7,4,3,5,1,2,6] => 110100 => [2,1,1,2] => 62
[7,4,3,5,1,6,2] => 110101 => [2,1,1,1,1] => 90
[7,4,3,5,2,1,6] => 110110 => [2,1,2,1] => 72
[7,4,3,5,2,6,1] => 110101 => [2,1,1,1,1] => 90
[7,4,3,5,6,1,2] => 110010 => [2,2,1,1] => 75
[7,4,3,5,6,2,1] => 110011 => [2,2,2] => 53
[7,4,3,6,1,2,5] => 110100 => [2,1,1,2] => 62
[7,4,3,6,1,5,2] => 110101 => [2,1,1,1,1] => 90
[7,4,3,6,2,1,5] => 110110 => [2,1,2,1] => 72
[7,4,3,6,2,5,1] => 110101 => [2,1,1,1,1] => 90
[7,4,3,6,5,1,2] => 110110 => [2,1,2,1] => 72
[7,4,3,6,5,2,1] => 110111 => [2,1,3] => 34
[7,4,5,1,2,3,6] => 101000 => [1,1,1,3] => 48
[7,4,5,1,2,6,3] => 101001 => [1,1,1,2,1] => 104
[7,4,5,1,3,2,6] => 101010 => [1,1,1,1,1,1] => 132
[7,4,5,1,3,6,2] => 101001 => [1,1,1,2,1] => 104
[7,4,5,1,6,2,3] => 101010 => [1,1,1,1,1,1] => 132
[7,4,5,1,6,3,2] => 101011 => [1,1,1,1,2] => 90
[7,4,5,2,1,3,6] => 101100 => [1,1,2,2] => 75
[7,4,5,2,1,6,3] => 101101 => [1,1,2,1,1] => 107
[7,4,5,2,3,1,6] => 101010 => [1,1,1,1,1,1] => 132
[7,4,5,2,3,6,1] => 101001 => [1,1,1,2,1] => 104
[7,4,5,2,6,1,3] => 101010 => [1,1,1,1,1,1] => 132
[7,4,5,2,6,3,1] => 101011 => [1,1,1,1,2] => 90
[7,4,5,3,1,2,6] => 101100 => [1,1,2,2] => 75
[7,4,5,3,1,6,2] => 101101 => [1,1,2,1,1] => 107
[7,4,5,3,2,1,6] => 101110 => [1,1,3,1] => 62
[7,4,5,3,2,6,1] => 101101 => [1,1,2,1,1] => 107
[7,4,5,3,6,1,2] => 101010 => [1,1,1,1,1,1] => 132
[7,4,5,3,6,2,1] => 101011 => [1,1,1,1,2] => 90
[7,4,5,6,1,2,3] => 100100 => [1,2,1,2] => 72
[7,4,5,6,1,3,2] => 100101 => [1,2,1,1,1] => 104
[7,4,5,6,2,1,3] => 100110 => [1,2,2,1] => 84
[7,4,5,6,2,3,1] => 100101 => [1,2,1,1,1] => 104
[7,4,5,6,3,1,2] => 100110 => [1,2,2,1] => 84
[7,4,5,6,3,2,1] => 100111 => [1,2,3] => 40
[7,4,6,1,2,3,5] => 101000 => [1,1,1,3] => 48
[7,4,6,1,2,5,3] => 101001 => [1,1,1,2,1] => 104
[7,4,6,1,3,2,5] => 101010 => [1,1,1,1,1,1] => 132
[7,4,6,1,3,5,2] => 101001 => [1,1,1,2,1] => 104
[7,4,6,1,5,2,3] => 101010 => [1,1,1,1,1,1] => 132
[7,4,6,1,5,3,2] => 101011 => [1,1,1,1,2] => 90
[7,4,6,2,1,3,5] => 101100 => [1,1,2,2] => 75
[7,4,6,2,1,5,3] => 101101 => [1,1,2,1,1] => 107
[7,4,6,2,3,1,5] => 101010 => [1,1,1,1,1,1] => 132
[7,4,6,2,3,5,1] => 101001 => [1,1,1,2,1] => 104
[7,4,6,2,5,1,3] => 101010 => [1,1,1,1,1,1] => 132
[7,4,6,2,5,3,1] => 101011 => [1,1,1,1,2] => 90
[7,4,6,3,1,2,5] => 101100 => [1,1,2,2] => 75
[7,4,6,3,1,5,2] => 101101 => [1,1,2,1,1] => 107
[7,4,6,3,2,1,5] => 101110 => [1,1,3,1] => 62
[7,4,6,3,2,5,1] => 101101 => [1,1,2,1,1] => 107
[7,4,6,3,5,1,2] => 101010 => [1,1,1,1,1,1] => 132
[7,4,6,3,5,2,1] => 101011 => [1,1,1,1,2] => 90
[7,4,6,5,1,2,3] => 101100 => [1,1,2,2] => 75
[7,4,6,5,1,3,2] => 101101 => [1,1,2,1,1] => 107
[7,4,6,5,2,1,3] => 101110 => [1,1,3,1] => 62
[7,4,6,5,2,3,1] => 101101 => [1,1,2,1,1] => 107
[7,4,6,5,3,1,2] => 101110 => [1,1,3,1] => 62
[7,4,6,5,3,2,1] => 101111 => [1,1,4] => 20
[7,5,1,2,3,4,6] => 110000 => [2,4] => 15
[7,5,1,2,3,6,4] => 110001 => [2,3,1] => 45
[7,5,1,2,4,3,6] => 110010 => [2,2,1,1] => 75
[7,5,1,2,4,6,3] => 110001 => [2,3,1] => 45
[7,5,1,2,6,3,4] => 110010 => [2,2,1,1] => 75
[7,5,1,2,6,4,3] => 110011 => [2,2,2] => 53
[7,5,1,3,2,4,6] => 110100 => [2,1,1,2] => 62
[7,5,1,3,2,6,4] => 110101 => [2,1,1,1,1] => 90
[7,5,1,3,4,2,6] => 110010 => [2,2,1,1] => 75
[7,5,1,3,4,6,2] => 110001 => [2,3,1] => 45
[7,5,1,3,6,2,4] => 110010 => [2,2,1,1] => 75
[7,5,1,3,6,4,2] => 110011 => [2,2,2] => 53
[7,5,1,4,2,3,6] => 110100 => [2,1,1,2] => 62
[7,5,1,4,2,6,3] => 110101 => [2,1,1,1,1] => 90
[7,5,1,4,3,2,6] => 110110 => [2,1,2,1] => 72
[7,5,1,4,3,6,2] => 110101 => [2,1,1,1,1] => 90
[7,5,1,4,6,2,3] => 110010 => [2,2,1,1] => 75
[7,5,1,4,6,3,2] => 110011 => [2,2,2] => 53
[7,5,1,6,2,3,4] => 110100 => [2,1,1,2] => 62
[7,5,1,6,2,4,3] => 110101 => [2,1,1,1,1] => 90
[7,5,1,6,3,2,4] => 110110 => [2,1,2,1] => 72
[7,5,1,6,3,4,2] => 110101 => [2,1,1,1,1] => 90
[7,5,1,6,4,2,3] => 110110 => [2,1,2,1] => 72
[7,5,1,6,4,3,2] => 110111 => [2,1,3] => 34
[7,5,2,1,3,4,6] => 111000 => [3,3] => 20
[7,5,2,1,3,6,4] => 111001 => [3,2,1] => 40
[7,5,2,1,4,3,6] => 111010 => [3,1,1,1] => 48
[7,5,2,1,4,6,3] => 111001 => [3,2,1] => 40
[7,5,2,1,6,3,4] => 111010 => [3,1,1,1] => 48
[7,5,2,1,6,4,3] => 111011 => [3,1,2] => 34
[7,5,2,3,1,4,6] => 110100 => [2,1,1,2] => 62
[7,5,2,3,1,6,4] => 110101 => [2,1,1,1,1] => 90
[7,5,2,3,4,1,6] => 110010 => [2,2,1,1] => 75
[7,5,2,3,4,6,1] => 110001 => [2,3,1] => 45
[7,5,2,3,6,1,4] => 110010 => [2,2,1,1] => 75
[7,5,2,3,6,4,1] => 110011 => [2,2,2] => 53
[7,5,2,4,1,3,6] => 110100 => [2,1,1,2] => 62
[7,5,2,4,1,6,3] => 110101 => [2,1,1,1,1] => 90
[7,5,2,4,3,1,6] => 110110 => [2,1,2,1] => 72
[7,5,2,4,3,6,1] => 110101 => [2,1,1,1,1] => 90
[7,5,2,4,6,1,3] => 110010 => [2,2,1,1] => 75
[7,5,2,4,6,3,1] => 110011 => [2,2,2] => 53
[7,5,2,6,1,3,4] => 110100 => [2,1,1,2] => 62
[7,5,2,6,1,4,3] => 110101 => [2,1,1,1,1] => 90
[7,5,2,6,3,1,4] => 110110 => [2,1,2,1] => 72
[7,5,2,6,3,4,1] => 110101 => [2,1,1,1,1] => 90
[7,5,2,6,4,1,3] => 110110 => [2,1,2,1] => 72
[7,5,2,6,4,3,1] => 110111 => [2,1,3] => 34
[7,5,3,1,2,4,6] => 111000 => [3,3] => 20
[7,5,3,1,2,6,4] => 111001 => [3,2,1] => 40
[7,5,3,1,4,2,6] => 111010 => [3,1,1,1] => 48
[7,5,3,1,4,6,2] => 111001 => [3,2,1] => 40
[7,5,3,1,6,2,4] => 111010 => [3,1,1,1] => 48
[7,5,3,1,6,4,2] => 111011 => [3,1,2] => 34
[7,5,3,2,1,4,6] => 111100 => [4,2] => 15
[7,5,3,2,1,6,4] => 111101 => [4,1,1] => 20
[7,5,3,2,4,1,6] => 111010 => [3,1,1,1] => 48
[7,5,3,2,4,6,1] => 111001 => [3,2,1] => 40
[7,5,3,2,6,1,4] => 111010 => [3,1,1,1] => 48
[7,5,3,2,6,4,1] => 111011 => [3,1,2] => 34
[7,5,3,4,1,2,6] => 110100 => [2,1,1,2] => 62
[7,5,3,4,1,6,2] => 110101 => [2,1,1,1,1] => 90
[7,5,3,4,2,1,6] => 110110 => [2,1,2,1] => 72
[7,5,3,4,2,6,1] => 110101 => [2,1,1,1,1] => 90
[7,5,3,4,6,1,2] => 110010 => [2,2,1,1] => 75
[7,5,3,4,6,2,1] => 110011 => [2,2,2] => 53
[7,5,3,6,1,2,4] => 110100 => [2,1,1,2] => 62
[7,5,3,6,1,4,2] => 110101 => [2,1,1,1,1] => 90
[7,5,3,6,2,1,4] => 110110 => [2,1,2,1] => 72
[7,5,3,6,2,4,1] => 110101 => [2,1,1,1,1] => 90
[7,5,3,6,4,1,2] => 110110 => [2,1,2,1] => 72
[7,5,3,6,4,2,1] => 110111 => [2,1,3] => 34
[7,5,4,1,2,3,6] => 111000 => [3,3] => 20
[7,5,4,1,2,6,3] => 111001 => [3,2,1] => 40
[7,5,4,1,3,2,6] => 111010 => [3,1,1,1] => 48
[7,5,4,1,3,6,2] => 111001 => [3,2,1] => 40
[7,5,4,1,6,2,3] => 111010 => [3,1,1,1] => 48
[7,5,4,1,6,3,2] => 111011 => [3,1,2] => 34
[7,5,4,2,1,3,6] => 111100 => [4,2] => 15
[7,5,4,2,1,6,3] => 111101 => [4,1,1] => 20
[7,5,4,2,3,1,6] => 111010 => [3,1,1,1] => 48
[7,5,4,2,3,6,1] => 111001 => [3,2,1] => 40
[7,5,4,2,6,1,3] => 111010 => [3,1,1,1] => 48
[7,5,4,2,6,3,1] => 111011 => [3,1,2] => 34
[7,5,4,3,1,2,6] => 111100 => [4,2] => 15
[7,5,4,3,1,6,2] => 111101 => [4,1,1] => 20
[7,5,4,3,2,1,6] => 111110 => [5,1] => 6
[7,5,4,3,2,6,1] => 111101 => [4,1,1] => 20
[7,5,4,3,6,1,2] => 111010 => [3,1,1,1] => 48
[7,5,4,3,6,2,1] => 111011 => [3,1,2] => 34
[7,5,4,6,1,2,3] => 110100 => [2,1,1,2] => 62
[7,5,4,6,1,3,2] => 110101 => [2,1,1,1,1] => 90
[7,5,4,6,2,1,3] => 110110 => [2,1,2,1] => 72
[7,5,4,6,2,3,1] => 110101 => [2,1,1,1,1] => 90
[7,5,4,6,3,1,2] => 110110 => [2,1,2,1] => 72
[7,5,4,6,3,2,1] => 110111 => [2,1,3] => 34
[7,5,6,1,2,3,4] => 101000 => [1,1,1,3] => 48
[7,5,6,1,2,4,3] => 101001 => [1,1,1,2,1] => 104
[7,5,6,1,3,2,4] => 101010 => [1,1,1,1,1,1] => 132
[7,5,6,1,3,4,2] => 101001 => [1,1,1,2,1] => 104
[7,5,6,1,4,2,3] => 101010 => [1,1,1,1,1,1] => 132
[7,5,6,1,4,3,2] => 101011 => [1,1,1,1,2] => 90
[7,5,6,2,1,3,4] => 101100 => [1,1,2,2] => 75
[7,5,6,2,1,4,3] => 101101 => [1,1,2,1,1] => 107
[7,5,6,2,3,1,4] => 101010 => [1,1,1,1,1,1] => 132
[7,5,6,2,3,4,1] => 101001 => [1,1,1,2,1] => 104
[7,5,6,2,4,1,3] => 101010 => [1,1,1,1,1,1] => 132
[7,5,6,2,4,3,1] => 101011 => [1,1,1,1,2] => 90
[7,5,6,3,1,2,4] => 101100 => [1,1,2,2] => 75
[7,5,6,3,1,4,2] => 101101 => [1,1,2,1,1] => 107
[7,5,6,3,2,1,4] => 101110 => [1,1,3,1] => 62
[7,5,6,3,2,4,1] => 101101 => [1,1,2,1,1] => 107
[7,5,6,3,4,1,2] => 101010 => [1,1,1,1,1,1] => 132
[7,5,6,3,4,2,1] => 101011 => [1,1,1,1,2] => 90
[7,5,6,4,1,2,3] => 101100 => [1,1,2,2] => 75
[7,5,6,4,1,3,2] => 101101 => [1,1,2,1,1] => 107
[7,5,6,4,2,1,3] => 101110 => [1,1,3,1] => 62
[7,5,6,4,2,3,1] => 101101 => [1,1,2,1,1] => 107
[7,5,6,4,3,1,2] => 101110 => [1,1,3,1] => 62
[7,5,6,4,3,2,1] => 101111 => [1,1,4] => 20
[7,6,1,2,3,4,5] => 110000 => [2,4] => 15
[7,6,1,2,3,5,4] => 110001 => [2,3,1] => 45
[7,6,1,2,4,3,5] => 110010 => [2,2,1,1] => 75
[7,6,1,2,4,5,3] => 110001 => [2,3,1] => 45
[7,6,1,2,5,3,4] => 110010 => [2,2,1,1] => 75
[7,6,1,2,5,4,3] => 110011 => [2,2,2] => 53
[7,6,1,3,2,4,5] => 110100 => [2,1,1,2] => 62
[7,6,1,3,2,5,4] => 110101 => [2,1,1,1,1] => 90
[7,6,1,3,4,2,5] => 110010 => [2,2,1,1] => 75
[7,6,1,3,4,5,2] => 110001 => [2,3,1] => 45
[7,6,1,3,5,2,4] => 110010 => [2,2,1,1] => 75
[7,6,1,3,5,4,2] => 110011 => [2,2,2] => 53
[7,6,1,4,2,3,5] => 110100 => [2,1,1,2] => 62
[7,6,1,4,2,5,3] => 110101 => [2,1,1,1,1] => 90
[7,6,1,4,3,2,5] => 110110 => [2,1,2,1] => 72
[7,6,1,4,3,5,2] => 110101 => [2,1,1,1,1] => 90
[7,6,1,4,5,2,3] => 110010 => [2,2,1,1] => 75
[7,6,1,4,5,3,2] => 110011 => [2,2,2] => 53
[7,6,1,5,2,3,4] => 110100 => [2,1,1,2] => 62
[7,6,1,5,2,4,3] => 110101 => [2,1,1,1,1] => 90
[7,6,1,5,3,2,4] => 110110 => [2,1,2,1] => 72
[7,6,1,5,3,4,2] => 110101 => [2,1,1,1,1] => 90
[7,6,1,5,4,2,3] => 110110 => [2,1,2,1] => 72
[7,6,1,5,4,3,2] => 110111 => [2,1,3] => 34
[7,6,2,1,3,4,5] => 111000 => [3,3] => 20
[7,6,2,1,3,5,4] => 111001 => [3,2,1] => 40
[7,6,2,1,4,3,5] => 111010 => [3,1,1,1] => 48
[7,6,2,1,4,5,3] => 111001 => [3,2,1] => 40
[7,6,2,1,5,3,4] => 111010 => [3,1,1,1] => 48
[7,6,2,1,5,4,3] => 111011 => [3,1,2] => 34
[7,6,2,3,1,4,5] => 110100 => [2,1,1,2] => 62
[7,6,2,3,1,5,4] => 110101 => [2,1,1,1,1] => 90
[7,6,2,3,4,1,5] => 110010 => [2,2,1,1] => 75
[7,6,2,3,4,5,1] => 110001 => [2,3,1] => 45
[7,6,2,3,5,1,4] => 110010 => [2,2,1,1] => 75
[7,6,2,3,5,4,1] => 110011 => [2,2,2] => 53
[7,6,2,4,1,3,5] => 110100 => [2,1,1,2] => 62
[7,6,2,4,1,5,3] => 110101 => [2,1,1,1,1] => 90
[7,6,2,4,3,1,5] => 110110 => [2,1,2,1] => 72
[7,6,2,4,3,5,1] => 110101 => [2,1,1,1,1] => 90
[7,6,2,4,5,1,3] => 110010 => [2,2,1,1] => 75
[7,6,2,4,5,3,1] => 110011 => [2,2,2] => 53
[7,6,2,5,1,3,4] => 110100 => [2,1,1,2] => 62
[7,6,2,5,1,4,3] => 110101 => [2,1,1,1,1] => 90
[7,6,2,5,3,1,4] => 110110 => [2,1,2,1] => 72
[7,6,2,5,3,4,1] => 110101 => [2,1,1,1,1] => 90
[7,6,2,5,4,1,3] => 110110 => [2,1,2,1] => 72
[7,6,2,5,4,3,1] => 110111 => [2,1,3] => 34
[7,6,3,1,2,4,5] => 111000 => [3,3] => 20
[7,6,3,1,2,5,4] => 111001 => [3,2,1] => 40
[7,6,3,1,4,2,5] => 111010 => [3,1,1,1] => 48
[7,6,3,1,4,5,2] => 111001 => [3,2,1] => 40
[7,6,3,1,5,2,4] => 111010 => [3,1,1,1] => 48
[7,6,3,1,5,4,2] => 111011 => [3,1,2] => 34
[7,6,3,2,1,4,5] => 111100 => [4,2] => 15
[7,6,3,2,1,5,4] => 111101 => [4,1,1] => 20
[7,6,3,2,4,1,5] => 111010 => [3,1,1,1] => 48
[7,6,3,2,4,5,1] => 111001 => [3,2,1] => 40
[7,6,3,2,5,1,4] => 111010 => [3,1,1,1] => 48
[7,6,3,2,5,4,1] => 111011 => [3,1,2] => 34
[7,6,3,4,1,2,5] => 110100 => [2,1,1,2] => 62
[7,6,3,4,1,5,2] => 110101 => [2,1,1,1,1] => 90
[7,6,3,4,2,1,5] => 110110 => [2,1,2,1] => 72
[7,6,3,4,2,5,1] => 110101 => [2,1,1,1,1] => 90
[7,6,3,4,5,1,2] => 110010 => [2,2,1,1] => 75
[7,6,3,4,5,2,1] => 110011 => [2,2,2] => 53
[7,6,3,5,1,2,4] => 110100 => [2,1,1,2] => 62
[7,6,3,5,1,4,2] => 110101 => [2,1,1,1,1] => 90
[7,6,3,5,2,1,4] => 110110 => [2,1,2,1] => 72
[7,6,3,5,2,4,1] => 110101 => [2,1,1,1,1] => 90
[7,6,3,5,4,1,2] => 110110 => [2,1,2,1] => 72
[7,6,3,5,4,2,1] => 110111 => [2,1,3] => 34
[7,6,4,1,2,3,5] => 111000 => [3,3] => 20
[7,6,4,1,2,5,3] => 111001 => [3,2,1] => 40
[7,6,4,1,3,2,5] => 111010 => [3,1,1,1] => 48
[7,6,4,1,3,5,2] => 111001 => [3,2,1] => 40
[7,6,4,1,5,2,3] => 111010 => [3,1,1,1] => 48
[7,6,4,1,5,3,2] => 111011 => [3,1,2] => 34
[7,6,4,2,1,3,5] => 111100 => [4,2] => 15
[7,6,4,2,1,5,3] => 111101 => [4,1,1] => 20
[7,6,4,2,3,1,5] => 111010 => [3,1,1,1] => 48
[7,6,4,2,3,5,1] => 111001 => [3,2,1] => 40
[7,6,4,2,5,1,3] => 111010 => [3,1,1,1] => 48
[7,6,4,2,5,3,1] => 111011 => [3,1,2] => 34
[7,6,4,3,1,2,5] => 111100 => [4,2] => 15
[7,6,4,3,1,5,2] => 111101 => [4,1,1] => 20
[7,6,4,3,2,1,5] => 111110 => [5,1] => 6
[7,6,4,3,2,5,1] => 111101 => [4,1,1] => 20
[7,6,4,3,5,1,2] => 111010 => [3,1,1,1] => 48
[7,6,4,3,5,2,1] => 111011 => [3,1,2] => 34
[7,6,4,5,1,2,3] => 110100 => [2,1,1,2] => 62
[7,6,4,5,1,3,2] => 110101 => [2,1,1,1,1] => 90
[7,6,4,5,2,1,3] => 110110 => [2,1,2,1] => 72
[7,6,4,5,2,3,1] => 110101 => [2,1,1,1,1] => 90
[7,6,4,5,3,1,2] => 110110 => [2,1,2,1] => 72
[7,6,4,5,3,2,1] => 110111 => [2,1,3] => 34
[7,6,5,1,2,3,4] => 111000 => [3,3] => 20
[7,6,5,1,2,4,3] => 111001 => [3,2,1] => 40
[7,6,5,1,3,2,4] => 111010 => [3,1,1,1] => 48
[7,6,5,1,3,4,2] => 111001 => [3,2,1] => 40
[7,6,5,1,4,2,3] => 111010 => [3,1,1,1] => 48
[7,6,5,1,4,3,2] => 111011 => [3,1,2] => 34
[7,6,5,2,1,3,4] => 111100 => [4,2] => 15
[7,6,5,2,1,4,3] => 111101 => [4,1,1] => 20
[7,6,5,2,3,1,4] => 111010 => [3,1,1,1] => 48
[7,6,5,2,3,4,1] => 111001 => [3,2,1] => 40
[7,6,5,2,4,1,3] => 111010 => [3,1,1,1] => 48
[7,6,5,2,4,3,1] => 111011 => [3,1,2] => 34
[7,6,5,3,1,2,4] => 111100 => [4,2] => 15
[7,6,5,3,1,4,2] => 111101 => [4,1,1] => 20
[7,6,5,3,2,1,4] => 111110 => [5,1] => 6
[7,6,5,3,2,4,1] => 111101 => [4,1,1] => 20
[7,6,5,3,4,1,2] => 111010 => [3,1,1,1] => 48
[7,6,5,3,4,2,1] => 111011 => [3,1,2] => 34
[7,6,5,4,1,2,3] => 111100 => [4,2] => 15
[7,6,5,4,1,3,2] => 111101 => [4,1,1] => 20
[7,6,5,4,2,1,3] => 111110 => [5,1] => 6
[7,6,5,4,2,3,1] => 111101 => [4,1,1] => 20
[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] => 27
[7,6,8,5,4,3,2,1] => 1011111 => [1,1,5] => 27
[6,7,8,5,4,3,2,1] => 0011111 => [2,5] => 21
[8,7,5,6,4,3,2,1] => 1101111 => [2,1,4] => 55
[7,8,5,6,4,3,2,1] => 0101111 => [1,1,1,4] => 75
[8,6,5,7,4,3,2,1] => 1101111 => [2,1,4] => 55
[8,5,6,7,4,3,2,1] => 1001111 => [1,2,4] => 65
[7,6,5,8,4,3,2,1] => 1101111 => [2,1,4] => 55
[6,7,5,8,4,3,2,1] => 0101111 => [1,1,1,4] => 75
[7,5,6,8,4,3,2,1] => 1001111 => [1,2,4] => 65
[6,5,7,8,4,3,2,1] => 1001111 => [1,2,4] => 65
[5,6,7,8,4,3,2,1] => 0001111 => [3,4] => 35
[8,7,6,4,5,3,2,1] => 1110111 => [3,1,3] => 69
[7,8,6,4,5,3,2,1] => 0110111 => [1,2,1,3] => 137
[8,6,7,4,5,3,2,1] => 1010111 => [1,1,1,1,3] => 165
[7,6,8,4,5,3,2,1] => 1010111 => [1,1,1,1,3] => 165
[8,7,5,4,6,3,2,1] => 1110111 => [3,1,3] => 69
[8,7,4,5,6,3,2,1] => 1100111 => [2,2,3] => 105
[8,6,5,4,7,3,2,1] => 1110111 => [3,1,3] => 69
[8,5,6,4,7,3,2,1] => 1010111 => [1,1,1,1,3] => 165
[8,6,4,5,7,3,2,1] => 1100111 => [2,2,3] => 105
[8,5,4,6,7,3,2,1] => 1100111 => [2,2,3] => 105
[8,4,5,6,7,3,2,1] => 1000111 => [1,3,3] => 95
[7,6,5,4,8,3,2,1] => 1110111 => [3,1,3] => 69
[6,7,5,4,8,3,2,1] => 0110111 => [1,2,1,3] => 137
[7,5,6,4,8,3,2,1] => 1010111 => [1,1,1,1,3] => 165
[6,5,7,4,8,3,2,1] => 1010111 => [1,1,1,1,3] => 165
[5,6,7,4,8,3,2,1] => 0010111 => [2,1,1,3] => 117
[7,6,4,5,8,3,2,1] => 1100111 => [2,2,3] => 105
[6,7,4,5,8,3,2,1] => 0100111 => [1,1,2,3] => 145
[7,5,4,6,8,3,2,1] => 1100111 => [2,2,3] => 105
[7,4,5,6,8,3,2,1] => 1000111 => [1,3,3] => 95
[6,5,4,7,8,3,2,1] => 1100111 => [2,2,3] => 105
[5,6,4,7,8,3,2,1] => 0100111 => [1,1,2,3] => 145
[6,4,5,7,8,3,2,1] => 1000111 => [1,3,3] => 95
[5,4,6,7,8,3,2,1] => 1000111 => [1,3,3] => 95
[4,5,6,7,8,3,2,1] => 0000111 => [4,3] => 35
[8,7,6,5,3,4,2,1] => 1111011 => [4,1,2] => 55
[7,8,6,5,3,4,2,1] => 0111011 => [1,3,1,2] => 157
[8,6,7,5,3,4,2,1] => 1011011 => [1,1,2,1,2] => 252
[7,6,8,5,3,4,2,1] => 1011011 => [1,1,2,1,2] => 252
[8,7,5,6,3,4,2,1] => 1101011 => [2,1,1,1,2] => 207
[7,8,5,6,3,4,2,1] => 0101011 => [1,1,1,1,1,2] => 297
[8,5,6,7,3,4,2,1] => 1001011 => [1,2,1,1,2] => 241
[7,6,5,8,3,4,2,1] => 1101011 => [2,1,1,1,2] => 207
[6,7,5,8,3,4,2,1] => 0101011 => [1,1,1,1,1,2] => 297
[6,5,7,8,3,4,2,1] => 1001011 => [1,2,1,1,2] => 241
[5,6,7,8,3,4,2,1] => 0001011 => [3,1,1,2] => 117
[8,7,6,4,3,5,2,1] => 1111011 => [4,1,2] => 55
[7,8,6,4,3,5,2,1] => 0111011 => [1,3,1,2] => 157
[8,6,7,4,3,5,2,1] => 1011011 => [1,1,2,1,2] => 252
[7,6,8,4,3,5,2,1] => 1011011 => [1,1,2,1,2] => 252
[6,7,8,4,3,5,2,1] => 0011011 => [2,2,1,2] => 180
[8,7,6,3,4,5,2,1] => 1110011 => [3,2,2] => 105
[7,8,6,3,4,5,2,1] => 0110011 => [1,2,2,2] => 211
[8,6,7,3,4,5,2,1] => 1010011 => [1,1,1,2,2] => 255
[7,6,8,3,4,5,2,1] => 1010011 => [1,1,1,2,2] => 255
[6,7,8,3,4,5,2,1] => 0010011 => [2,1,2,2] => 180
[8,7,5,4,3,6,2,1] => 1111011 => [4,1,2] => 55
[7,8,5,4,3,6,2,1] => 0111011 => [1,3,1,2] => 157
[8,7,4,5,3,6,2,1] => 1101011 => [2,1,1,1,2] => 207
[8,7,5,3,4,6,2,1] => 1110011 => [3,2,2] => 105
[7,8,5,3,4,6,2,1] => 0110011 => [1,2,2,2] => 211
[8,7,4,3,5,6,2,1] => 1110011 => [3,2,2] => 105
[8,7,3,4,5,6,2,1] => 1100011 => [2,3,2] => 126
[7,8,3,4,5,6,2,1] => 0100011 => [1,1,3,2] => 171
[8,6,5,4,3,7,2,1] => 1111011 => [4,1,2] => 55
[8,6,4,5,3,7,2,1] => 1101011 => [2,1,1,1,2] => 207
[8,6,4,3,5,7,2,1] => 1110011 => [3,2,2] => 105
[8,5,4,3,6,7,2,1] => 1110011 => [3,2,2] => 105
[8,5,3,4,6,7,2,1] => 1100011 => [2,3,2] => 126
[8,4,3,5,6,7,2,1] => 1100011 => [2,3,2] => 126
[8,3,4,5,6,7,2,1] => 1000011 => [1,4,2] => 81
[7,6,5,4,3,8,2,1] => 1111011 => [4,1,2] => 55
[6,7,5,4,3,8,2,1] => 0111011 => [1,3,1,2] => 157
[7,5,6,4,3,8,2,1] => 1011011 => [1,1,2,1,2] => 252
[6,5,7,4,3,8,2,1] => 1011011 => [1,1,2,1,2] => 252
[5,6,7,4,3,8,2,1] => 0011011 => [2,2,1,2] => 180
[6,7,4,5,3,8,2,1] => 0101011 => [1,1,1,1,1,2] => 297
[7,5,4,6,3,8,2,1] => 1101011 => [2,1,1,1,2] => 207
[7,4,5,6,3,8,2,1] => 1001011 => [1,2,1,1,2] => 241
[6,5,4,7,3,8,2,1] => 1101011 => [2,1,1,1,2] => 207
[6,4,5,7,3,8,2,1] => 1001011 => [1,2,1,1,2] => 241
[5,4,6,7,3,8,2,1] => 1001011 => [1,2,1,1,2] => 241
[4,5,6,7,3,8,2,1] => 0001011 => [3,1,1,2] => 117
[7,6,5,3,4,8,2,1] => 1110011 => [3,2,2] => 105
[7,6,4,3,5,8,2,1] => 1110011 => [3,2,2] => 105
[7,6,3,4,5,8,2,1] => 1100011 => [2,3,2] => 126
[7,5,4,3,6,8,2,1] => 1110011 => [3,2,2] => 105
[7,5,3,4,6,8,2,1] => 1100011 => [2,3,2] => 126
[7,3,4,5,6,8,2,1] => 1000011 => [1,4,2] => 81
[6,5,4,3,7,8,2,1] => 1110011 => [3,2,2] => 105
[4,5,6,3,7,8,2,1] => 0010011 => [2,1,2,2] => 180
[6,5,3,4,7,8,2,1] => 1100011 => [2,3,2] => 126
[6,3,4,5,7,8,2,1] => 1000011 => [1,4,2] => 81
[5,4,3,6,7,8,2,1] => 1100011 => [2,3,2] => 126
[5,3,4,6,7,8,2,1] => 1000011 => [1,4,2] => 81
[4,3,5,6,7,8,2,1] => 1000011 => [1,4,2] => 81
[3,4,5,6,7,8,2,1] => 0000011 => [5,2] => 21
[8,7,6,5,4,2,3,1] => 1111101 => [5,1,1] => 27
[7,8,6,5,4,2,3,1] => 0111101 => [1,4,1,1] => 107
[8,6,7,5,4,2,3,1] => 1011101 => [1,1,3,1,1] => 233
[7,6,8,5,4,2,3,1] => 1011101 => [1,1,3,1,1] => 233
[8,7,5,6,4,2,3,1] => 1101101 => [2,1,2,1,1] => 252
[8,6,5,7,4,2,3,1] => 1101101 => [2,1,2,1,1] => 252
[8,5,6,7,4,2,3,1] => 1001101 => [1,2,2,1,1] => 295
[7,6,5,8,4,2,3,1] => 1101101 => [2,1,2,1,1] => 252
[6,7,5,8,4,2,3,1] => 0101101 => [1,1,1,2,1,1] => 359
[7,5,6,8,4,2,3,1] => 1001101 => [1,2,2,1,1] => 295
[5,6,7,8,4,2,3,1] => 0001101 => [3,2,1,1] => 145
[8,7,6,4,5,2,3,1] => 1110101 => [3,1,1,1,1] => 165
[8,6,7,4,5,2,3,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,6,8,4,5,2,3,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,7,5,4,6,2,3,1] => 1110101 => [3,1,1,1,1] => 165
[8,7,4,5,6,2,3,1] => 1100101 => [2,2,1,1,1] => 255
[7,8,4,5,6,2,3,1] => 0100101 => [1,1,2,1,1,1] => 359
[8,6,5,4,7,2,3,1] => 1110101 => [3,1,1,1,1] => 165
[8,5,6,4,7,2,3,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,6,4,5,7,2,3,1] => 1100101 => [2,2,1,1,1] => 255
[8,4,5,6,7,2,3,1] => 1000101 => [1,3,1,1,1] => 219
[7,6,5,4,8,2,3,1] => 1110101 => [3,1,1,1,1] => 165
[7,5,6,4,8,2,3,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,5,7,4,8,2,3,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,7,4,5,8,2,3,1] => 0100101 => [1,1,2,1,1,1] => 359
[4,5,6,7,8,2,3,1] => 0000101 => [4,1,1,1] => 75
[8,7,6,5,3,2,4,1] => 1111101 => [5,1,1] => 27
[7,8,6,5,3,2,4,1] => 0111101 => [1,4,1,1] => 107
[8,6,7,5,3,2,4,1] => 1011101 => [1,1,3,1,1] => 233
[7,6,8,5,3,2,4,1] => 1011101 => [1,1,3,1,1] => 233
[6,7,8,5,3,2,4,1] => 0011101 => [2,3,1,1] => 171
[8,7,5,6,3,2,4,1] => 1101101 => [2,1,2,1,1] => 252
[8,6,5,7,3,2,4,1] => 1101101 => [2,1,2,1,1] => 252
[8,5,6,7,3,2,4,1] => 1001101 => [1,2,2,1,1] => 295
[7,6,5,8,3,2,4,1] => 1101101 => [2,1,2,1,1] => 252
[6,7,5,8,3,2,4,1] => 0101101 => [1,1,1,2,1,1] => 359
[5,6,7,8,3,2,4,1] => 0001101 => [3,2,1,1] => 145
[8,7,6,5,2,3,4,1] => 1111001 => [4,2,1] => 65
[8,6,7,5,2,3,4,1] => 1011001 => [1,1,2,2,1] => 295
[7,6,8,5,2,3,4,1] => 1011001 => [1,1,2,2,1] => 295
[6,7,8,5,2,3,4,1] => 0011001 => [2,2,2,1] => 211
[8,7,5,6,2,3,4,1] => 1101001 => [2,1,1,2,1] => 241
[7,8,5,6,2,3,4,1] => 0101001 => [1,1,1,1,2,1] => 345
[8,6,5,7,2,3,4,1] => 1101001 => [2,1,1,2,1] => 241
[8,5,6,7,2,3,4,1] => 1001001 => [1,2,1,2,1] => 281
[7,6,5,8,2,3,4,1] => 1101001 => [2,1,1,2,1] => 241
[6,7,5,8,2,3,4,1] => 0101001 => [1,1,1,1,2,1] => 345
[6,5,7,8,2,3,4,1] => 1001001 => [1,2,1,2,1] => 281
[5,6,7,8,2,3,4,1] => 0001001 => [3,1,2,1] => 137
[8,7,6,4,3,2,5,1] => 1111101 => [5,1,1] => 27
[7,8,6,4,3,2,5,1] => 0111101 => [1,4,1,1] => 107
[8,6,7,4,3,2,5,1] => 1011101 => [1,1,3,1,1] => 233
[7,6,8,4,3,2,5,1] => 1011101 => [1,1,3,1,1] => 233
[6,7,8,4,3,2,5,1] => 0011101 => [2,3,1,1] => 171
[8,7,6,3,4,2,5,1] => 1110101 => [3,1,1,1,1] => 165
[7,8,6,3,4,2,5,1] => 0110101 => [1,2,1,1,1,1] => 345
[8,6,7,3,4,2,5,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,6,8,3,4,2,5,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,7,8,3,4,2,5,1] => 0010101 => [2,1,1,1,1,1] => 297
[8,7,6,4,2,3,5,1] => 1111001 => [4,2,1] => 65
[8,6,7,4,2,3,5,1] => 1011001 => [1,1,2,2,1] => 295
[7,6,8,4,2,3,5,1] => 1011001 => [1,1,2,2,1] => 295
[6,7,8,4,2,3,5,1] => 0011001 => [2,2,2,1] => 211
[8,7,6,3,2,4,5,1] => 1111001 => [4,2,1] => 65
[7,8,6,3,2,4,5,1] => 0111001 => [1,3,2,1] => 185
[8,6,7,3,2,4,5,1] => 1011001 => [1,1,2,2,1] => 295
[6,7,8,3,2,4,5,1] => 0011001 => [2,2,2,1] => 211
[8,7,6,2,3,4,5,1] => 1110001 => [3,3,1] => 95
[7,8,6,2,3,4,5,1] => 0110001 => [1,2,3,1] => 185
[8,6,7,2,3,4,5,1] => 1010001 => [1,1,1,3,1] => 219
[7,6,8,2,3,4,5,1] => 1010001 => [1,1,1,3,1] => 219
[6,7,8,2,3,4,5,1] => 0010001 => [2,1,3,1] => 157
[8,7,5,4,3,2,6,1] => 1111101 => [5,1,1] => 27
[7,8,5,4,3,2,6,1] => 0111101 => [1,4,1,1] => 107
[8,7,5,3,4,2,6,1] => 1110101 => [3,1,1,1,1] => 165
[7,8,5,3,4,2,6,1] => 0110101 => [1,2,1,1,1,1] => 345
[8,7,4,3,5,2,6,1] => 1110101 => [3,1,1,1,1] => 165
[8,7,5,3,2,4,6,1] => 1111001 => [4,2,1] => 65
[8,7,4,3,2,5,6,1] => 1111001 => [4,2,1] => 65
[7,8,4,3,2,5,6,1] => 0111001 => [1,3,2,1] => 185
[7,8,3,4,2,5,6,1] => 0101001 => [1,1,1,1,2,1] => 345
[7,8,4,2,3,5,6,1] => 0110001 => [1,2,3,1] => 185
[7,8,3,2,4,5,6,1] => 0110001 => [1,2,3,1] => 185
[8,7,2,3,4,5,6,1] => 1100001 => [2,4,1] => 81
[7,8,2,3,4,5,6,1] => 0100001 => [1,1,4,1] => 107
[8,6,5,4,3,2,7,1] => 1111101 => [5,1,1] => 27
[8,5,6,4,3,2,7,1] => 1011101 => [1,1,3,1,1] => 233
[8,6,4,5,3,2,7,1] => 1101101 => [2,1,2,1,1] => 252
[8,5,4,6,3,2,7,1] => 1101101 => [2,1,2,1,1] => 252
[8,6,5,3,4,2,7,1] => 1110101 => [3,1,1,1,1] => 165
[8,5,6,3,4,2,7,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,6,4,3,5,2,7,1] => 1110101 => [3,1,1,1,1] => 165
[8,6,3,4,5,2,7,1] => 1100101 => [2,2,1,1,1] => 255
[8,5,4,3,6,2,7,1] => 1110101 => [3,1,1,1,1] => 165
[8,4,5,3,6,2,7,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,4,3,5,6,2,7,1] => 1100101 => [2,2,1,1,1] => 255
[8,3,4,5,6,2,7,1] => 1000101 => [1,3,1,1,1] => 219
[8,6,5,4,2,3,7,1] => 1111001 => [4,2,1] => 65
[8,5,6,4,2,3,7,1] => 1011001 => [1,1,2,2,1] => 295
[8,6,4,5,2,3,7,1] => 1101001 => [2,1,1,2,1] => 241
[8,6,5,3,2,4,7,1] => 1111001 => [4,2,1] => 65
[8,6,4,3,2,5,7,1] => 1111001 => [4,2,1] => 65
[8,6,4,2,3,5,7,1] => 1110001 => [3,3,1] => 95
[8,6,2,3,4,5,7,1] => 1100001 => [2,4,1] => 81
[8,5,4,3,2,6,7,1] => 1111001 => [4,2,1] => 65
[8,4,5,3,2,6,7,1] => 1011001 => [1,1,2,2,1] => 295
[8,5,3,4,2,6,7,1] => 1101001 => [2,1,1,2,1] => 241
[8,3,4,5,2,6,7,1] => 1001001 => [1,2,1,2,1] => 281
[8,5,4,2,3,6,7,1] => 1110001 => [3,3,1] => 95
[8,4,5,2,3,6,7,1] => 1010001 => [1,1,1,3,1] => 219
[8,5,2,3,4,6,7,1] => 1100001 => [2,4,1] => 81
[8,4,3,2,5,6,7,1] => 1110001 => [3,3,1] => 95
[8,3,4,2,5,6,7,1] => 1010001 => [1,1,1,3,1] => 219
[8,4,2,3,5,6,7,1] => 1100001 => [2,4,1] => 81
[8,3,2,4,5,6,7,1] => 1100001 => [2,4,1] => 81
[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] => 27
[6,7,5,4,3,2,8,1] => 0111101 => [1,4,1,1] => 107
[7,5,6,4,3,2,8,1] => 1011101 => [1,1,3,1,1] => 233
[6,5,7,4,3,2,8,1] => 1011101 => [1,1,3,1,1] => 233
[5,6,7,4,3,2,8,1] => 0011101 => [2,3,1,1] => 171
[7,6,4,5,3,2,8,1] => 1101101 => [2,1,2,1,1] => 252
[6,7,4,5,3,2,8,1] => 0101101 => [1,1,1,2,1,1] => 359
[7,4,5,6,3,2,8,1] => 1001101 => [1,2,2,1,1] => 295
[6,5,4,7,3,2,8,1] => 1101101 => [2,1,2,1,1] => 252
[6,4,5,7,3,2,8,1] => 1001101 => [1,2,2,1,1] => 295
[4,5,6,7,3,2,8,1] => 0001101 => [3,2,1,1] => 145
[7,6,5,3,4,2,8,1] => 1110101 => [3,1,1,1,1] => 165
[7,5,6,3,4,2,8,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,5,7,3,4,2,8,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,6,7,3,4,2,8,1] => 0010101 => [2,1,1,1,1,1] => 297
[7,6,4,3,5,2,8,1] => 1110101 => [3,1,1,1,1] => 165
[7,6,3,4,5,2,8,1] => 1100101 => [2,2,1,1,1] => 255
[7,5,4,3,6,2,8,1] => 1110101 => [3,1,1,1,1] => 165
[7,4,5,3,6,2,8,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,5,3,4,6,2,8,1] => 1100101 => [2,2,1,1,1] => 255
[7,3,4,5,6,2,8,1] => 1000101 => [1,3,1,1,1] => 219
[6,5,4,3,7,2,8,1] => 1110101 => [3,1,1,1,1] => 165
[6,4,5,3,7,2,8,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,4,6,3,7,2,8,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,5,6,3,7,2,8,1] => 0010101 => [2,1,1,1,1,1] => 297
[6,5,3,4,7,2,8,1] => 1100101 => [2,2,1,1,1] => 255
[5,6,3,4,7,2,8,1] => 0100101 => [1,1,2,1,1,1] => 359
[6,4,3,5,7,2,8,1] => 1100101 => [2,2,1,1,1] => 255
[6,3,4,5,7,2,8,1] => 1000101 => [1,3,1,1,1] => 219
[5,4,3,6,7,2,8,1] => 1100101 => [2,2,1,1,1] => 255
[4,5,3,6,7,2,8,1] => 0100101 => [1,1,2,1,1,1] => 359
[4,3,5,6,7,2,8,1] => 1000101 => [1,3,1,1,1] => 219
[3,4,5,6,7,2,8,1] => 0000101 => [4,1,1,1] => 75
[7,6,5,4,2,3,8,1] => 1111001 => [4,2,1] => 65
[6,7,5,4,2,3,8,1] => 0111001 => [1,3,2,1] => 185
[7,5,6,4,2,3,8,1] => 1011001 => [1,1,2,2,1] => 295
[6,5,7,4,2,3,8,1] => 1011001 => [1,1,2,2,1] => 295
[5,6,7,4,2,3,8,1] => 0011001 => [2,2,2,1] => 211
[7,6,4,5,2,3,8,1] => 1101001 => [2,1,1,2,1] => 241
[6,7,4,5,2,3,8,1] => 0101001 => [1,1,1,1,2,1] => 345
[7,5,4,6,2,3,8,1] => 1101001 => [2,1,1,2,1] => 241
[7,4,5,6,2,3,8,1] => 1001001 => [1,2,1,2,1] => 281
[6,5,4,7,2,3,8,1] => 1101001 => [2,1,1,2,1] => 241
[5,6,4,7,2,3,8,1] => 0101001 => [1,1,1,1,2,1] => 345
[6,4,5,7,2,3,8,1] => 1001001 => [1,2,1,2,1] => 281
[5,4,6,7,2,3,8,1] => 1001001 => [1,2,1,2,1] => 281
[4,5,6,7,2,3,8,1] => 0001001 => [3,1,2,1] => 137
[7,6,5,3,2,4,8,1] => 1111001 => [4,2,1] => 65
[6,7,5,3,2,4,8,1] => 0111001 => [1,3,2,1] => 185
[6,5,7,3,2,4,8,1] => 1011001 => [1,1,2,2,1] => 295
[7,6,5,2,3,4,8,1] => 1110001 => [3,3,1] => 95
[7,5,6,2,3,4,8,1] => 1010001 => [1,1,1,3,1] => 219
[5,6,7,2,3,4,8,1] => 0010001 => [2,1,3,1] => 157
[6,7,4,3,2,5,8,1] => 0111001 => [1,3,2,1] => 185
[7,6,4,2,3,5,8,1] => 1110001 => [3,3,1] => 95
[7,6,3,2,4,5,8,1] => 1110001 => [3,3,1] => 95
[6,7,3,2,4,5,8,1] => 0110001 => [1,2,3,1] => 185
[7,6,2,3,4,5,8,1] => 1100001 => [2,4,1] => 81
[6,7,2,3,4,5,8,1] => 0100001 => [1,1,4,1] => 107
[7,5,4,3,2,6,8,1] => 1111001 => [4,2,1] => 65
[7,4,3,5,2,6,8,1] => 1101001 => [2,1,1,2,1] => 241
[7,5,4,2,3,6,8,1] => 1110001 => [3,3,1] => 95
[7,4,5,2,3,6,8,1] => 1010001 => [1,1,1,3,1] => 219
[7,5,3,2,4,6,8,1] => 1110001 => [3,3,1] => 95
[7,5,2,3,4,6,8,1] => 1100001 => [2,4,1] => 81
[7,4,3,2,5,6,8,1] => 1110001 => [3,3,1] => 95
[7,4,2,3,5,6,8,1] => 1100001 => [2,4,1] => 81
[7,3,2,4,5,6,8,1] => 1100001 => [2,4,1] => 81
[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] => 65
[5,4,6,3,2,7,8,1] => 1011001 => [1,1,2,2,1] => 295
[4,5,6,3,2,7,8,1] => 0011001 => [2,2,2,1] => 211
[6,5,3,4,2,7,8,1] => 1101001 => [2,1,1,2,1] => 241
[6,3,4,5,2,7,8,1] => 1001001 => [1,2,1,2,1] => 281
[5,4,3,6,2,7,8,1] => 1101001 => [2,1,1,2,1] => 241
[4,3,5,6,2,7,8,1] => 1001001 => [1,2,1,2,1] => 281
[3,4,5,6,2,7,8,1] => 0001001 => [3,1,2,1] => 137
[6,5,4,2,3,7,8,1] => 1110001 => [3,3,1] => 95
[5,6,4,2,3,7,8,1] => 0110001 => [1,2,3,1] => 185
[6,4,5,2,3,7,8,1] => 1010001 => [1,1,1,3,1] => 219
[5,4,6,2,3,7,8,1] => 1010001 => [1,1,1,3,1] => 219
[4,5,6,2,3,7,8,1] => 0010001 => [2,1,3,1] => 157
[6,5,3,2,4,7,8,1] => 1110001 => [3,3,1] => 95
[6,5,2,3,4,7,8,1] => 1100001 => [2,4,1] => 81
[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] => 95
[4,5,3,2,6,7,8,1] => 0110001 => [1,2,3,1] => 185
[5,3,4,2,6,7,8,1] => 1010001 => [1,1,1,3,1] => 219
[4,3,5,2,6,7,8,1] => 1010001 => [1,1,1,3,1] => 219
[3,4,5,2,6,7,8,1] => 0010001 => [2,1,3,1] => 157
[5,4,2,3,6,7,8,1] => 1100001 => [2,4,1] => 81
[4,5,2,3,6,7,8,1] => 0100001 => [1,1,4,1] => 107
[5,3,2,4,6,7,8,1] => 1100001 => [2,4,1] => 81
[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] => 81
[3,4,2,5,6,7,8,1] => 0100001 => [1,1,4,1] => 107
[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] => 107
[7,6,8,5,4,3,1,2] => 1011110 => [1,1,4,1] => 107
[6,7,8,5,4,3,1,2] => 0011110 => [2,4,1] => 81
[8,7,5,6,4,3,1,2] => 1101110 => [2,1,3,1] => 157
[7,8,5,6,4,3,1,2] => 0101110 => [1,1,1,3,1] => 219
[8,6,5,7,4,3,1,2] => 1101110 => [2,1,3,1] => 157
[7,6,5,8,4,3,1,2] => 1101110 => [2,1,3,1] => 157
[6,7,5,8,4,3,1,2] => 0101110 => [1,1,1,3,1] => 219
[7,5,6,8,4,3,1,2] => 1001110 => [1,2,3,1] => 185
[6,5,7,8,4,3,1,2] => 1001110 => [1,2,3,1] => 185
[5,6,7,8,4,3,1,2] => 0001110 => [3,3,1] => 95
[8,7,6,4,5,3,1,2] => 1110110 => [3,1,2,1] => 137
[7,8,6,4,5,3,1,2] => 0110110 => [1,2,1,2,1] => 281
[8,6,7,4,5,3,1,2] => 1010110 => [1,1,1,1,2,1] => 345
[6,7,8,4,5,3,1,2] => 0010110 => [2,1,1,2,1] => 241
[8,7,5,4,6,3,1,2] => 1110110 => [3,1,2,1] => 137
[8,5,6,4,7,3,1,2] => 1010110 => [1,1,1,1,2,1] => 345
[8,6,4,5,7,3,1,2] => 1100110 => [2,2,2,1] => 211
[8,5,4,6,7,3,1,2] => 1100110 => [2,2,2,1] => 211
[7,6,5,4,8,3,1,2] => 1110110 => [3,1,2,1] => 137
[7,5,6,4,8,3,1,2] => 1010110 => [1,1,1,1,2,1] => 345
[6,5,7,4,8,3,1,2] => 1010110 => [1,1,1,1,2,1] => 345
[7,6,4,5,8,3,1,2] => 1100110 => [2,2,2,1] => 211
[6,7,4,5,8,3,1,2] => 0100110 => [1,1,2,2,1] => 295
[6,5,4,7,8,3,1,2] => 1100110 => [2,2,2,1] => 211
[5,6,4,7,8,3,1,2] => 0100110 => [1,1,2,2,1] => 295
[5,4,6,7,8,3,1,2] => 1000110 => [1,3,2,1] => 185
[4,5,6,7,8,3,1,2] => 0000110 => [4,2,1] => 65
[8,7,6,5,3,4,1,2] => 1111010 => [4,1,1,1] => 75
[7,8,6,5,3,4,1,2] => 0111010 => [1,3,1,1,1] => 219
[7,6,8,5,3,4,1,2] => 1011010 => [1,1,2,1,1,1] => 359
[6,7,8,5,3,4,1,2] => 0011010 => [2,2,1,1,1] => 255
[8,7,5,6,3,4,1,2] => 1101010 => [2,1,1,1,1,1] => 297
[7,8,5,6,3,4,1,2] => 0101010 => [1,1,1,1,1,1,1] => 429
[8,6,5,7,3,4,1,2] => 1101010 => [2,1,1,1,1,1] => 297
[8,5,6,7,3,4,1,2] => 1001010 => [1,2,1,1,1,1] => 345
[7,6,5,8,3,4,1,2] => 1101010 => [2,1,1,1,1,1] => 297
[6,7,5,8,3,4,1,2] => 0101010 => [1,1,1,1,1,1,1] => 429
[7,5,6,8,3,4,1,2] => 1001010 => [1,2,1,1,1,1] => 345
[6,5,7,8,3,4,1,2] => 1001010 => [1,2,1,1,1,1] => 345
[5,6,7,8,3,4,1,2] => 0001010 => [3,1,1,1,1] => 165
[6,7,8,4,3,5,1,2] => 0011010 => [2,2,1,1,1] => 255
[8,7,6,3,4,5,1,2] => 1110010 => [3,2,1,1] => 145
[8,6,7,3,4,5,1,2] => 1010010 => [1,1,1,2,1,1] => 359
[7,8,5,4,3,6,1,2] => 0111010 => [1,3,1,1,1] => 219
[8,7,4,5,3,6,1,2] => 1101010 => [2,1,1,1,1,1] => 297
[7,8,4,5,3,6,1,2] => 0101010 => [1,1,1,1,1,1,1] => 429
[7,8,5,3,4,6,1,2] => 0110010 => [1,2,2,1,1] => 295
[8,7,4,3,5,6,1,2] => 1110010 => [3,2,1,1] => 145
[7,8,4,3,5,6,1,2] => 0110010 => [1,2,2,1,1] => 295
[8,7,3,4,5,6,1,2] => 1100010 => [2,3,1,1] => 171
[7,8,3,4,5,6,1,2] => 0100010 => [1,1,3,1,1] => 233
[8,6,5,4,3,7,1,2] => 1111010 => [4,1,1,1] => 75
[8,5,4,3,6,7,1,2] => 1110010 => [3,2,1,1] => 145
[8,5,3,4,6,7,1,2] => 1100010 => [2,3,1,1] => 171
[8,4,3,5,6,7,1,2] => 1100010 => [2,3,1,1] => 171
[8,3,4,5,6,7,1,2] => 1000010 => [1,4,1,1] => 107
[7,6,5,4,3,8,1,2] => 1111010 => [4,1,1,1] => 75
[7,5,6,4,3,8,1,2] => 1011010 => [1,1,2,1,1,1] => 359
[6,5,7,4,3,8,1,2] => 1011010 => [1,1,2,1,1,1] => 359
[5,6,7,4,3,8,1,2] => 0011010 => [2,2,1,1,1] => 255
[6,7,4,5,3,8,1,2] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,6,4,7,3,8,1,2] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,4,6,7,3,8,1,2] => 1001010 => [1,2,1,1,1,1] => 345
[4,5,6,7,3,8,1,2] => 0001010 => [3,1,1,1,1] => 165
[7,6,5,3,4,8,1,2] => 1110010 => [3,2,1,1] => 145
[7,5,6,3,4,8,1,2] => 1010010 => [1,1,1,2,1,1] => 359
[5,6,7,3,4,8,1,2] => 0010010 => [2,1,2,1,1] => 252
[7,6,4,3,5,8,1,2] => 1110010 => [3,2,1,1] => 145
[7,6,3,4,5,8,1,2] => 1100010 => [2,3,1,1] => 171
[7,5,4,3,6,8,1,2] => 1110010 => [3,2,1,1] => 145
[7,5,3,4,6,8,1,2] => 1100010 => [2,3,1,1] => 171
[7,3,4,5,6,8,1,2] => 1000010 => [1,4,1,1] => 107
[6,5,4,3,7,8,1,2] => 1110010 => [3,2,1,1] => 145
[5,6,4,3,7,8,1,2] => 0110010 => [1,2,2,1,1] => 295
[5,4,6,3,7,8,1,2] => 1010010 => [1,1,1,2,1,1] => 359
[4,5,6,3,7,8,1,2] => 0010010 => [2,1,2,1,1] => 252
[6,5,3,4,7,8,1,2] => 1100010 => [2,3,1,1] => 171
[5,6,3,4,7,8,1,2] => 0100010 => [1,1,3,1,1] => 233
[6,4,3,5,7,8,1,2] => 1100010 => [2,3,1,1] => 171
[6,3,4,5,7,8,1,2] => 1000010 => [1,4,1,1] => 107
[5,4,3,6,7,8,1,2] => 1100010 => [2,3,1,1] => 171
[4,5,3,6,7,8,1,2] => 0100010 => [1,1,3,1,1] => 233
[5,3,4,6,7,8,1,2] => 1000010 => [1,4,1,1] => 107
[4,3,5,6,7,8,1,2] => 1000010 => [1,4,1,1] => 107
[3,4,5,6,7,8,1,2] => 0000010 => [5,1,1] => 27
[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] => 107
[7,6,8,5,4,2,1,3] => 1011110 => [1,1,4,1] => 107
[6,7,8,5,4,2,1,3] => 0011110 => [2,4,1] => 81
[8,7,5,6,4,2,1,3] => 1101110 => [2,1,3,1] => 157
[7,8,5,6,4,2,1,3] => 0101110 => [1,1,1,3,1] => 219
[8,6,5,7,4,2,1,3] => 1101110 => [2,1,3,1] => 157
[7,6,5,8,4,2,1,3] => 1101110 => [2,1,3,1] => 157
[6,7,5,8,4,2,1,3] => 0101110 => [1,1,1,3,1] => 219
[7,5,6,8,4,2,1,3] => 1001110 => [1,2,3,1] => 185
[6,5,7,8,4,2,1,3] => 1001110 => [1,2,3,1] => 185
[5,6,7,8,4,2,1,3] => 0001110 => [3,3,1] => 95
[8,7,6,4,5,2,1,3] => 1110110 => [3,1,2,1] => 137
[8,6,7,4,5,2,1,3] => 1010110 => [1,1,1,1,2,1] => 345
[7,6,8,4,5,2,1,3] => 1010110 => [1,1,1,1,2,1] => 345
[8,7,4,5,6,2,1,3] => 1100110 => [2,2,2,1] => 211
[8,6,5,4,7,2,1,3] => 1110110 => [3,1,2,1] => 137
[8,6,4,5,7,2,1,3] => 1100110 => [2,2,2,1] => 211
[8,4,5,6,7,2,1,3] => 1000110 => [1,3,2,1] => 185
[7,6,5,4,8,2,1,3] => 1110110 => [3,1,2,1] => 137
[6,7,5,4,8,2,1,3] => 0110110 => [1,2,1,2,1] => 281
[7,5,6,4,8,2,1,3] => 1010110 => [1,1,1,1,2,1] => 345
[6,5,7,4,8,2,1,3] => 1010110 => [1,1,1,1,2,1] => 345
[5,6,7,4,8,2,1,3] => 0010110 => [2,1,1,2,1] => 241
[7,6,4,5,8,2,1,3] => 1100110 => [2,2,2,1] => 211
[7,4,5,6,8,2,1,3] => 1000110 => [1,3,2,1] => 185
[5,4,6,7,8,2,1,3] => 1000110 => [1,3,2,1] => 185
[4,5,6,7,8,2,1,3] => 0000110 => [4,2,1] => 65
[8,7,6,5,4,1,2,3] => 1111100 => [5,2] => 21
[7,8,6,5,4,1,2,3] => 0111100 => [1,4,2] => 81
[7,6,8,5,4,1,2,3] => 1011100 => [1,1,3,2] => 171
[6,7,8,5,4,1,2,3] => 0011100 => [2,3,2] => 126
[7,8,5,6,4,1,2,3] => 0101100 => [1,1,1,2,2] => 255
[8,6,5,7,4,1,2,3] => 1101100 => [2,1,2,2] => 180
[8,5,6,7,4,1,2,3] => 1001100 => [1,2,2,2] => 211
[7,6,5,8,4,1,2,3] => 1101100 => [2,1,2,2] => 180
[6,7,5,8,4,1,2,3] => 0101100 => [1,1,1,2,2] => 255
[7,5,6,8,4,1,2,3] => 1001100 => [1,2,2,2] => 211
[6,5,7,8,4,1,2,3] => 1001100 => [1,2,2,2] => 211
[5,6,7,8,4,1,2,3] => 0001100 => [3,2,2] => 105
[8,7,6,4,5,1,2,3] => 1110100 => [3,1,1,2] => 117
[8,6,7,4,5,1,2,3] => 1010100 => [1,1,1,1,1,2] => 297
[6,7,8,4,5,1,2,3] => 0010100 => [2,1,1,1,2] => 207
[8,7,5,4,6,1,2,3] => 1110100 => [3,1,1,2] => 117
[7,8,5,4,6,1,2,3] => 0110100 => [1,2,1,1,2] => 241
[8,7,4,5,6,1,2,3] => 1100100 => [2,2,1,2] => 180
[7,8,4,5,6,1,2,3] => 0100100 => [1,1,2,1,2] => 252
[8,5,6,4,7,1,2,3] => 1010100 => [1,1,1,1,1,2] => 297
[8,6,4,5,7,1,2,3] => 1100100 => [2,2,1,2] => 180
[8,5,4,6,7,1,2,3] => 1100100 => [2,2,1,2] => 180
[8,4,5,6,7,1,2,3] => 1000100 => [1,3,1,2] => 157
[7,6,5,4,8,1,2,3] => 1110100 => [3,1,1,2] => 117
[6,7,5,4,8,1,2,3] => 0110100 => [1,2,1,1,2] => 241
[7,5,6,4,8,1,2,3] => 1010100 => [1,1,1,1,1,2] => 297
[6,5,7,4,8,1,2,3] => 1010100 => [1,1,1,1,1,2] => 297
[5,6,7,4,8,1,2,3] => 0010100 => [2,1,1,1,2] => 207
[7,6,4,5,8,1,2,3] => 1100100 => [2,2,1,2] => 180
[6,7,4,5,8,1,2,3] => 0100100 => [1,1,2,1,2] => 252
[7,5,4,6,8,1,2,3] => 1100100 => [2,2,1,2] => 180
[7,4,5,6,8,1,2,3] => 1000100 => [1,3,1,2] => 157
[6,5,4,7,8,1,2,3] => 1100100 => [2,2,1,2] => 180
[5,6,4,7,8,1,2,3] => 0100100 => [1,1,2,1,2] => 252
[6,4,5,7,8,1,2,3] => 1000100 => [1,3,1,2] => 157
[5,4,6,7,8,1,2,3] => 1000100 => [1,3,1,2] => 157
[4,5,6,7,8,1,2,3] => 0000100 => [4,1,2] => 55
[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] => 107
[7,6,8,5,3,2,1,4] => 1011110 => [1,1,4,1] => 107
[6,7,8,5,3,2,1,4] => 0011110 => [2,4,1] => 81
[8,7,5,6,3,2,1,4] => 1101110 => [2,1,3,1] => 157
[7,8,5,6,3,2,1,4] => 0101110 => [1,1,1,3,1] => 219
[8,6,5,7,3,2,1,4] => 1101110 => [2,1,3,1] => 157
[8,5,6,7,3,2,1,4] => 1001110 => [1,2,3,1] => 185
[7,6,5,8,3,2,1,4] => 1101110 => [2,1,3,1] => 157
[6,7,5,8,3,2,1,4] => 0101110 => [1,1,1,3,1] => 219
[7,5,6,8,3,2,1,4] => 1001110 => [1,2,3,1] => 185
[6,5,7,8,3,2,1,4] => 1001110 => [1,2,3,1] => 185
[5,6,7,8,3,2,1,4] => 0001110 => [3,3,1] => 95
[8,7,6,5,2,3,1,4] => 1111010 => [4,1,1,1] => 75
[7,8,6,5,2,3,1,4] => 0111010 => [1,3,1,1,1] => 219
[8,6,7,5,2,3,1,4] => 1011010 => [1,1,2,1,1,1] => 359
[7,6,8,5,2,3,1,4] => 1011010 => [1,1,2,1,1,1] => 359
[6,7,8,5,2,3,1,4] => 0011010 => [2,2,1,1,1] => 255
[8,7,5,6,2,3,1,4] => 1101010 => [2,1,1,1,1,1] => 297
[7,8,5,6,2,3,1,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[8,6,5,7,2,3,1,4] => 1101010 => [2,1,1,1,1,1] => 297
[8,5,6,7,2,3,1,4] => 1001010 => [1,2,1,1,1,1] => 345
[7,6,5,8,2,3,1,4] => 1101010 => [2,1,1,1,1,1] => 297
[6,7,5,8,2,3,1,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[7,5,6,8,2,3,1,4] => 1001010 => [1,2,1,1,1,1] => 345
[6,5,7,8,2,3,1,4] => 1001010 => [1,2,1,1,1,1] => 345
[5,6,7,8,2,3,1,4] => 0001010 => [3,1,1,1,1] => 165
[8,7,6,5,3,1,2,4] => 1111100 => [5,2] => 21
[7,8,6,5,3,1,2,4] => 0111100 => [1,4,2] => 81
[8,6,7,5,3,1,2,4] => 1011100 => [1,1,3,2] => 171
[7,6,8,5,3,1,2,4] => 1011100 => [1,1,3,2] => 171
[8,7,5,6,3,1,2,4] => 1101100 => [2,1,2,2] => 180
[7,8,5,6,3,1,2,4] => 0101100 => [1,1,1,2,2] => 255
[7,6,5,8,3,1,2,4] => 1101100 => [2,1,2,2] => 180
[6,7,5,8,3,1,2,4] => 0101100 => [1,1,1,2,2] => 255
[7,5,6,8,3,1,2,4] => 1001100 => [1,2,2,2] => 211
[6,5,7,8,3,1,2,4] => 1001100 => [1,2,2,2] => 211
[5,6,7,8,3,1,2,4] => 0001100 => [3,2,2] => 105
[8,7,6,5,2,1,3,4] => 1111100 => [5,2] => 21
[7,8,6,5,2,1,3,4] => 0111100 => [1,4,2] => 81
[7,6,8,5,2,1,3,4] => 1011100 => [1,1,3,2] => 171
[6,7,8,5,2,1,3,4] => 0011100 => [2,3,2] => 126
[8,7,5,6,2,1,3,4] => 1101100 => [2,1,2,2] => 180
[7,8,5,6,2,1,3,4] => 0101100 => [1,1,1,2,2] => 255
[8,6,5,7,2,1,3,4] => 1101100 => [2,1,2,2] => 180
[8,5,6,7,2,1,3,4] => 1001100 => [1,2,2,2] => 211
[7,6,5,8,2,1,3,4] => 1101100 => [2,1,2,2] => 180
[6,7,5,8,2,1,3,4] => 0101100 => [1,1,1,2,2] => 255
[7,5,6,8,2,1,3,4] => 1001100 => [1,2,2,2] => 211
[6,5,7,8,2,1,3,4] => 1001100 => [1,2,2,2] => 211
[5,6,7,8,2,1,3,4] => 0001100 => [3,2,2] => 105
[8,7,6,5,1,2,3,4] => 1111000 => [4,3] => 35
[7,8,6,5,1,2,3,4] => 0111000 => [1,3,3] => 95
[8,6,7,5,1,2,3,4] => 1011000 => [1,1,2,3] => 145
[7,6,8,5,1,2,3,4] => 1011000 => [1,1,2,3] => 145
[6,7,8,5,1,2,3,4] => 0011000 => [2,2,3] => 105
[8,7,5,6,1,2,3,4] => 1101000 => [2,1,1,3] => 117
[7,8,5,6,1,2,3,4] => 0101000 => [1,1,1,1,3] => 165
[8,6,5,7,1,2,3,4] => 1101000 => [2,1,1,3] => 117
[8,5,6,7,1,2,3,4] => 1001000 => [1,2,1,3] => 137
[7,6,5,8,1,2,3,4] => 1101000 => [2,1,1,3] => 117
[6,7,5,8,1,2,3,4] => 0101000 => [1,1,1,1,3] => 165
[7,5,6,8,1,2,3,4] => 1001000 => [1,2,1,3] => 137
[6,5,7,8,1,2,3,4] => 1001000 => [1,2,1,3] => 137
[5,6,7,8,1,2,3,4] => 0001000 => [3,1,3] => 69
[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] => 107
[7,6,8,4,3,2,1,5] => 1011110 => [1,1,4,1] => 107
[6,7,8,4,3,2,1,5] => 0011110 => [2,4,1] => 81
[8,7,6,3,4,2,1,5] => 1110110 => [3,1,2,1] => 137
[7,8,6,3,4,2,1,5] => 0110110 => [1,2,1,2,1] => 281
[6,7,8,3,4,2,1,5] => 0010110 => [2,1,1,2,1] => 241
[8,7,6,4,2,3,1,5] => 1111010 => [4,1,1,1] => 75
[8,6,7,4,2,3,1,5] => 1011010 => [1,1,2,1,1,1] => 359
[7,6,8,4,2,3,1,5] => 1011010 => [1,1,2,1,1,1] => 359
[6,7,8,4,2,3,1,5] => 0011010 => [2,2,1,1,1] => 255
[8,7,6,3,2,4,1,5] => 1111010 => [4,1,1,1] => 75
[8,6,7,3,2,4,1,5] => 1011010 => [1,1,2,1,1,1] => 359
[6,7,8,3,2,4,1,5] => 0011010 => [2,2,1,1,1] => 255
[8,7,6,2,3,4,1,5] => 1110010 => [3,2,1,1] => 145
[8,6,7,2,3,4,1,5] => 1010010 => [1,1,1,2,1,1] => 359
[7,6,8,2,3,4,1,5] => 1010010 => [1,1,1,2,1,1] => 359
[6,7,8,2,3,4,1,5] => 0010010 => [2,1,2,1,1] => 252
[8,7,6,4,3,1,2,5] => 1111100 => [5,2] => 21
[6,7,8,4,3,1,2,5] => 0011100 => [2,3,2] => 126
[8,7,6,3,4,1,2,5] => 1110100 => [3,1,1,2] => 117
[7,8,6,3,4,1,2,5] => 0110100 => [1,2,1,1,2] => 241
[8,6,7,3,4,1,2,5] => 1010100 => [1,1,1,1,1,2] => 297
[6,7,8,3,4,1,2,5] => 0010100 => [2,1,1,1,2] => 207
[8,7,6,4,2,1,3,5] => 1111100 => [5,2] => 21
[7,8,6,4,2,1,3,5] => 0111100 => [1,4,2] => 81
[8,6,7,4,2,1,3,5] => 1011100 => [1,1,3,2] => 171
[6,7,8,4,2,1,3,5] => 0011100 => [2,3,2] => 126
[8,7,6,4,1,2,3,5] => 1111000 => [4,3] => 35
[7,8,6,4,1,2,3,5] => 0111000 => [1,3,3] => 95
[7,6,8,4,1,2,3,5] => 1011000 => [1,1,2,3] => 145
[6,7,8,4,1,2,3,5] => 0011000 => [2,2,3] => 105
[8,7,6,3,2,1,4,5] => 1111100 => [5,2] => 21
[7,8,6,3,2,1,4,5] => 0111100 => [1,4,2] => 81
[8,6,7,3,2,1,4,5] => 1011100 => [1,1,3,2] => 171
[7,6,8,3,2,1,4,5] => 1011100 => [1,1,3,2] => 171
[6,7,8,3,2,1,4,5] => 0011100 => [2,3,2] => 126
[8,7,6,2,3,1,4,5] => 1110100 => [3,1,1,2] => 117
[7,8,6,2,3,1,4,5] => 0110100 => [1,2,1,1,2] => 241
[8,6,7,2,3,1,4,5] => 1010100 => [1,1,1,1,1,2] => 297
[7,6,8,2,3,1,4,5] => 1010100 => [1,1,1,1,1,2] => 297
[6,7,8,2,3,1,4,5] => 0010100 => [2,1,1,1,2] => 207
[8,7,6,3,1,2,4,5] => 1111000 => [4,3] => 35
[7,8,6,3,1,2,4,5] => 0111000 => [1,3,3] => 95
[8,6,7,3,1,2,4,5] => 1011000 => [1,1,2,3] => 145
[7,6,8,3,1,2,4,5] => 1011000 => [1,1,2,3] => 145
[6,7,8,3,1,2,4,5] => 0011000 => [2,2,3] => 105
[8,7,6,2,1,3,4,5] => 1111000 => [4,3] => 35
[7,8,6,2,1,3,4,5] => 0111000 => [1,3,3] => 95
[8,6,7,2,1,3,4,5] => 1011000 => [1,1,2,3] => 145
[6,7,8,2,1,3,4,5] => 0011000 => [2,2,3] => 105
[8,7,6,1,2,3,4,5] => 1110000 => [3,4] => 35
[7,8,6,1,2,3,4,5] => 0110000 => [1,2,4] => 65
[8,6,7,1,2,3,4,5] => 1010000 => [1,1,1,4] => 75
[7,6,8,1,2,3,4,5] => 1010000 => [1,1,1,4] => 75
[6,7,8,1,2,3,4,5] => 0010000 => [2,1,4] => 55
[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] => 157
[7,8,4,5,3,2,1,6] => 0101110 => [1,1,1,3,1] => 219
[8,7,5,3,4,2,1,6] => 1110110 => [3,1,2,1] => 137
[8,7,4,3,5,2,1,6] => 1110110 => [3,1,2,1] => 137
[8,7,3,4,5,2,1,6] => 1100110 => [2,2,2,1] => 211
[7,8,3,4,5,2,1,6] => 0100110 => [1,1,2,2,1] => 295
[8,7,4,5,2,3,1,6] => 1101010 => [2,1,1,1,1,1] => 297
[7,8,4,5,2,3,1,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[8,7,5,3,2,4,1,6] => 1111010 => [4,1,1,1] => 75
[7,8,5,2,3,4,1,6] => 0110010 => [1,2,2,1,1] => 295
[8,7,4,3,2,5,1,6] => 1111010 => [4,1,1,1] => 75
[7,8,4,3,2,5,1,6] => 0111010 => [1,3,1,1,1] => 219
[8,7,3,4,2,5,1,6] => 1101010 => [2,1,1,1,1,1] => 297
[7,8,3,4,2,5,1,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[8,7,2,3,4,5,1,6] => 1100010 => [2,3,1,1] => 171
[7,8,2,3,4,5,1,6] => 0100010 => [1,1,3,1,1] => 233
[8,7,5,4,3,1,2,6] => 1111100 => [5,2] => 21
[7,8,5,4,3,1,2,6] => 0111100 => [1,4,2] => 81
[8,7,5,3,4,1,2,6] => 1110100 => [3,1,1,2] => 117
[7,8,5,3,4,1,2,6] => 0110100 => [1,2,1,1,2] => 241
[8,7,3,4,5,1,2,6] => 1100100 => [2,2,1,2] => 180
[7,8,3,4,5,1,2,6] => 0100100 => [1,1,2,1,2] => 252
[7,8,5,4,2,1,3,6] => 0111100 => [1,4,2] => 81
[8,7,5,4,1,2,3,6] => 1111000 => [4,3] => 35
[7,8,5,4,1,2,3,6] => 0111000 => [1,3,3] => 95
[8,7,4,5,1,2,3,6] => 1101000 => [2,1,1,3] => 117
[7,8,4,5,1,2,3,6] => 0101000 => [1,1,1,1,3] => 165
[8,7,5,3,2,1,4,6] => 1111100 => [5,2] => 21
[7,8,5,3,2,1,4,6] => 0111100 => [1,4,2] => 81
[8,7,5,2,3,1,4,6] => 1110100 => [3,1,1,2] => 117
[8,7,5,3,1,2,4,6] => 1111000 => [4,3] => 35
[7,8,5,3,1,2,4,6] => 0111000 => [1,3,3] => 95
[8,7,5,2,1,3,4,6] => 1111000 => [4,3] => 35
[7,8,5,2,1,3,4,6] => 0111000 => [1,3,3] => 95
[8,7,5,1,2,3,4,6] => 1110000 => [3,4] => 35
[7,8,5,1,2,3,4,6] => 0110000 => [1,2,4] => 65
[8,7,4,3,2,1,5,6] => 1111100 => [5,2] => 21
[7,8,4,3,2,1,5,6] => 0111100 => [1,4,2] => 81
[8,7,3,4,2,1,5,6] => 1101100 => [2,1,2,2] => 180
[7,8,3,4,2,1,5,6] => 0101100 => [1,1,1,2,2] => 255
[7,8,4,2,3,1,5,6] => 0110100 => [1,2,1,1,2] => 241
[8,7,3,2,4,1,5,6] => 1110100 => [3,1,1,2] => 117
[7,8,3,2,4,1,5,6] => 0110100 => [1,2,1,1,2] => 241
[8,7,2,3,4,1,5,6] => 1100100 => [2,2,1,2] => 180
[7,8,2,3,4,1,5,6] => 0100100 => [1,1,2,1,2] => 252
[7,8,4,3,1,2,5,6] => 0111000 => [1,3,3] => 95
[8,7,3,4,1,2,5,6] => 1101000 => [2,1,1,3] => 117
[7,8,3,4,1,2,5,6] => 0101000 => [1,1,1,1,3] => 165
[8,7,4,2,1,3,5,6] => 1111000 => [4,3] => 35
[7,8,4,2,1,3,5,6] => 0111000 => [1,3,3] => 95
[8,7,4,1,2,3,5,6] => 1110000 => [3,4] => 35
[7,8,4,1,2,3,5,6] => 0110000 => [1,2,4] => 65
[8,7,3,2,1,4,5,6] => 1111000 => [4,3] => 35
[7,8,3,2,1,4,5,6] => 0111000 => [1,3,3] => 95
[8,7,2,3,1,4,5,6] => 1101000 => [2,1,1,3] => 117
[7,8,2,3,1,4,5,6] => 0101000 => [1,1,1,1,3] => 165
[7,8,3,1,2,4,5,6] => 0110000 => [1,2,4] => 65
[8,7,2,1,3,4,5,6] => 1110000 => [3,4] => 35
[7,8,2,1,3,4,5,6] => 0110000 => [1,2,4] => 65
[8,7,1,2,3,4,5,6] => 1100000 => [2,5] => 21
[7,8,1,2,3,4,5,6] => 0100000 => [1,1,5] => 27
[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] => 107
[8,6,4,5,3,2,1,7] => 1101110 => [2,1,3,1] => 157
[8,5,4,6,3,2,1,7] => 1101110 => [2,1,3,1] => 157
[8,4,5,6,3,2,1,7] => 1001110 => [1,2,3,1] => 185
[8,6,5,3,4,2,1,7] => 1110110 => [3,1,2,1] => 137
[8,5,6,3,4,2,1,7] => 1010110 => [1,1,1,1,2,1] => 345
[8,6,4,3,5,2,1,7] => 1110110 => [3,1,2,1] => 137
[8,4,5,3,6,2,1,7] => 1010110 => [1,1,1,1,2,1] => 345
[8,4,3,5,6,2,1,7] => 1100110 => [2,2,2,1] => 211
[8,3,4,5,6,2,1,7] => 1000110 => [1,3,2,1] => 185
[8,6,5,4,2,3,1,7] => 1111010 => [4,1,1,1] => 75
[8,5,6,4,2,3,1,7] => 1011010 => [1,1,2,1,1,1] => 359
[8,6,4,5,2,3,1,7] => 1101010 => [2,1,1,1,1,1] => 297
[8,4,5,6,2,3,1,7] => 1001010 => [1,2,1,1,1,1] => 345
[8,6,5,3,2,4,1,7] => 1111010 => [4,1,1,1] => 75
[8,6,5,2,3,4,1,7] => 1110010 => [3,2,1,1] => 145
[8,5,6,2,3,4,1,7] => 1010010 => [1,1,1,2,1,1] => 359
[8,6,4,3,2,5,1,7] => 1111010 => [4,1,1,1] => 75
[8,6,4,2,3,5,1,7] => 1110010 => [3,2,1,1] => 145
[8,6,3,2,4,5,1,7] => 1110010 => [3,2,1,1] => 145
[8,5,4,3,2,6,1,7] => 1111010 => [4,1,1,1] => 75
[8,4,3,5,2,6,1,7] => 1101010 => [2,1,1,1,1,1] => 297
[8,5,4,2,3,6,1,7] => 1110010 => [3,2,1,1] => 145
[8,4,5,2,3,6,1,7] => 1010010 => [1,1,1,2,1,1] => 359
[8,5,3,2,4,6,1,7] => 1110010 => [3,2,1,1] => 145
[8,5,2,3,4,6,1,7] => 1100010 => [2,3,1,1] => 171
[8,3,4,2,5,6,1,7] => 1010010 => [1,1,1,2,1,1] => 359
[8,3,2,4,5,6,1,7] => 1100010 => [2,3,1,1] => 171
[8,2,3,4,5,6,1,7] => 1000010 => [1,4,1,1] => 107
[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] => 180
[8,6,5,3,4,1,2,7] => 1110100 => [3,1,1,2] => 117
[8,5,6,3,4,1,2,7] => 1010100 => [1,1,1,1,1,2] => 297
[8,6,3,4,5,1,2,7] => 1100100 => [2,2,1,2] => 180
[8,5,4,3,6,1,2,7] => 1110100 => [3,1,1,2] => 117
[8,4,5,3,6,1,2,7] => 1010100 => [1,1,1,1,1,2] => 297
[8,5,3,4,6,1,2,7] => 1100100 => [2,2,1,2] => 180
[8,4,3,5,6,1,2,7] => 1100100 => [2,2,1,2] => 180
[8,3,4,5,6,1,2,7] => 1000100 => [1,3,1,2] => 157
[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] => 171
[8,6,4,5,2,1,3,7] => 1101100 => [2,1,2,2] => 180
[8,4,5,6,2,1,3,7] => 1001100 => [1,2,2,2] => 211
[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] => 145
[8,6,4,5,1,2,3,7] => 1101000 => [2,1,1,3] => 117
[8,4,5,6,1,2,3,7] => 1001000 => [1,2,1,3] => 137
[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] => 171
[8,6,5,2,3,1,4,7] => 1110100 => [3,1,1,2] => 117
[8,5,6,2,3,1,4,7] => 1010100 => [1,1,1,1,1,2] => 297
[8,5,6,3,1,2,4,7] => 1011000 => [1,1,2,3] => 145
[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] => 145
[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] => 75
[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] => 180
[8,6,4,2,3,1,5,7] => 1110100 => [3,1,1,2] => 117
[8,6,3,2,4,1,5,7] => 1110100 => [3,1,1,2] => 117
[8,6,2,3,4,1,5,7] => 1100100 => [2,2,1,2] => 180
[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] => 117
[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] => 171
[8,4,3,5,2,1,6,7] => 1101100 => [2,1,2,2] => 180
[8,3,4,5,2,1,6,7] => 1001100 => [1,2,2,2] => 211
[8,4,5,2,3,1,6,7] => 1010100 => [1,1,1,1,1,2] => 297
[8,5,2,3,4,1,6,7] => 1100100 => [2,2,1,2] => 180
[8,4,2,3,5,1,6,7] => 1100100 => [2,2,1,2] => 180
[8,2,3,4,5,1,6,7] => 1000100 => [1,3,1,2] => 157
[8,5,3,4,1,2,6,7] => 1101000 => [2,1,1,3] => 117
[8,3,4,5,1,2,6,7] => 1001000 => [1,2,1,3] => 137
[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] => 75
[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] => 145
[8,4,2,3,1,5,6,7] => 1101000 => [2,1,1,3] => 117
[8,2,3,4,1,5,6,7] => 1001000 => [1,2,1,3] => 137
[8,3,4,1,2,5,6,7] => 1010000 => [1,1,1,4] => 75
[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] => 75
[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] => 107
[6,5,7,4,3,2,1,8] => 1011110 => [1,1,4,1] => 107
[5,6,7,4,3,2,1,8] => 0011110 => [2,4,1] => 81
[7,6,4,5,3,2,1,8] => 1101110 => [2,1,3,1] => 157
[6,7,4,5,3,2,1,8] => 0101110 => [1,1,1,3,1] => 219
[7,5,4,6,3,2,1,8] => 1101110 => [2,1,3,1] => 157
[7,4,5,6,3,2,1,8] => 1001110 => [1,2,3,1] => 185
[6,5,4,7,3,2,1,8] => 1101110 => [2,1,3,1] => 157
[5,6,4,7,3,2,1,8] => 0101110 => [1,1,1,3,1] => 219
[5,4,6,7,3,2,1,8] => 1001110 => [1,2,3,1] => 185
[4,5,6,7,3,2,1,8] => 0001110 => [3,3,1] => 95
[7,6,5,3,4,2,1,8] => 1110110 => [3,1,2,1] => 137
[6,7,5,3,4,2,1,8] => 0110110 => [1,2,1,2,1] => 281
[7,5,6,3,4,2,1,8] => 1010110 => [1,1,1,1,2,1] => 345
[6,5,7,3,4,2,1,8] => 1010110 => [1,1,1,1,2,1] => 345
[5,6,7,3,4,2,1,8] => 0010110 => [2,1,1,2,1] => 241
[7,6,4,3,5,2,1,8] => 1110110 => [3,1,2,1] => 137
[6,7,4,3,5,2,1,8] => 0110110 => [1,2,1,2,1] => 281
[7,6,3,4,5,2,1,8] => 1100110 => [2,2,2,1] => 211
[7,5,4,3,6,2,1,8] => 1110110 => [3,1,2,1] => 137
[7,4,5,3,6,2,1,8] => 1010110 => [1,1,1,1,2,1] => 345
[7,3,4,5,6,2,1,8] => 1000110 => [1,3,2,1] => 185
[6,5,4,3,7,2,1,8] => 1110110 => [3,1,2,1] => 137
[5,6,4,3,7,2,1,8] => 0110110 => [1,2,1,2,1] => 281
[5,4,6,3,7,2,1,8] => 1010110 => [1,1,1,1,2,1] => 345
[5,4,3,6,7,2,1,8] => 1100110 => [2,2,2,1] => 211
[3,4,5,6,7,2,1,8] => 0000110 => [4,2,1] => 65
[7,6,5,4,2,3,1,8] => 1111010 => [4,1,1,1] => 75
[6,7,5,4,2,3,1,8] => 0111010 => [1,3,1,1,1] => 219
[7,5,6,4,2,3,1,8] => 1011010 => [1,1,2,1,1,1] => 359
[5,6,7,4,2,3,1,8] => 0011010 => [2,2,1,1,1] => 255
[7,6,4,5,2,3,1,8] => 1101010 => [2,1,1,1,1,1] => 297
[6,7,4,5,2,3,1,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[7,5,4,6,2,3,1,8] => 1101010 => [2,1,1,1,1,1] => 297
[7,4,5,6,2,3,1,8] => 1001010 => [1,2,1,1,1,1] => 345
[6,5,4,7,2,3,1,8] => 1101010 => [2,1,1,1,1,1] => 297
[5,6,4,7,2,3,1,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,4,6,7,2,3,1,8] => 1001010 => [1,2,1,1,1,1] => 345
[4,5,6,7,2,3,1,8] => 0001010 => [3,1,1,1,1] => 165
[7,6,5,3,2,4,1,8] => 1111010 => [4,1,1,1] => 75
[6,5,7,3,2,4,1,8] => 1011010 => [1,1,2,1,1,1] => 359
[5,6,7,3,2,4,1,8] => 0011010 => [2,2,1,1,1] => 255
[7,6,5,2,3,4,1,8] => 1110010 => [3,2,1,1] => 145
[6,7,5,2,3,4,1,8] => 0110010 => [1,2,2,1,1] => 295
[7,5,6,2,3,4,1,8] => 1010010 => [1,1,1,2,1,1] => 359
[6,5,7,2,3,4,1,8] => 1010010 => [1,1,1,2,1,1] => 359
[5,6,7,2,3,4,1,8] => 0010010 => [2,1,2,1,1] => 252
[7,6,4,3,2,5,1,8] => 1111010 => [4,1,1,1] => 75
[6,7,4,3,2,5,1,8] => 0111010 => [1,3,1,1,1] => 219
[6,7,3,4,2,5,1,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[7,6,4,2,3,5,1,8] => 1110010 => [3,2,1,1] => 145
[6,7,4,2,3,5,1,8] => 0110010 => [1,2,2,1,1] => 295
[7,6,3,2,4,5,1,8] => 1110010 => [3,2,1,1] => 145
[6,7,3,2,4,5,1,8] => 0110010 => [1,2,2,1,1] => 295
[7,6,2,3,4,5,1,8] => 1100010 => [2,3,1,1] => 171
[6,7,2,3,4,5,1,8] => 0100010 => [1,1,3,1,1] => 233
[7,5,4,3,2,6,1,8] => 1111010 => [4,1,1,1] => 75
[7,4,5,3,2,6,1,8] => 1011010 => [1,1,2,1,1,1] => 359
[7,5,3,4,2,6,1,8] => 1101010 => [2,1,1,1,1,1] => 297
[7,4,3,5,2,6,1,8] => 1101010 => [2,1,1,1,1,1] => 297
[7,5,4,2,3,6,1,8] => 1110010 => [3,2,1,1] => 145
[7,4,5,2,3,6,1,8] => 1010010 => [1,1,1,2,1,1] => 359
[7,5,3,2,4,6,1,8] => 1110010 => [3,2,1,1] => 145
[7,4,2,3,5,6,1,8] => 1100010 => [2,3,1,1] => 171
[7,2,3,4,5,6,1,8] => 1000010 => [1,4,1,1] => 107
[6,5,4,3,2,7,1,8] => 1111010 => [4,1,1,1] => 75
[5,6,4,3,2,7,1,8] => 0111010 => [1,3,1,1,1] => 219
[5,4,6,3,2,7,1,8] => 1011010 => [1,1,2,1,1,1] => 359
[5,6,3,4,2,7,1,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[6,3,4,5,2,7,1,8] => 1001010 => [1,2,1,1,1,1] => 345
[5,4,3,6,2,7,1,8] => 1101010 => [2,1,1,1,1,1] => 297
[4,5,3,6,2,7,1,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,3,4,6,2,7,1,8] => 1001010 => [1,2,1,1,1,1] => 345
[4,3,5,6,2,7,1,8] => 1001010 => [1,2,1,1,1,1] => 345
[3,4,5,6,2,7,1,8] => 0001010 => [3,1,1,1,1] => 165
[5,4,6,2,3,7,1,8] => 1010010 => [1,1,1,2,1,1] => 359
[6,5,3,2,4,7,1,8] => 1110010 => [3,2,1,1] => 145
[6,4,2,3,5,7,1,8] => 1100010 => [2,3,1,1] => 171
[6,3,2,4,5,7,1,8] => 1100010 => [2,3,1,1] => 171
[6,2,3,4,5,7,1,8] => 1000010 => [1,4,1,1] => 107
[5,4,3,2,6,7,1,8] => 1110010 => [3,2,1,1] => 145
[3,4,5,2,6,7,1,8] => 0010010 => [2,1,2,1,1] => 252
[5,4,2,3,6,7,1,8] => 1100010 => [2,3,1,1] => 171
[4,5,2,3,6,7,1,8] => 0100010 => [1,1,3,1,1] => 233
[5,2,3,4,6,7,1,8] => 1000010 => [1,4,1,1] => 107
[4,3,2,5,6,7,1,8] => 1100010 => [2,3,1,1] => 171
[3,4,2,5,6,7,1,8] => 0100010 => [1,1,3,1,1] => 233
[4,2,3,5,6,7,1,8] => 1000010 => [1,4,1,1] => 107
[3,2,4,5,6,7,1,8] => 1000010 => [1,4,1,1] => 107
[2,3,4,5,6,7,1,8] => 0000010 => [5,1,1] => 27
[7,6,5,4,3,1,2,8] => 1111100 => [5,2] => 21
[6,7,5,4,3,1,2,8] => 0111100 => [1,4,2] => 81
[7,5,6,4,3,1,2,8] => 1011100 => [1,1,3,2] => 171
[7,6,4,5,3,1,2,8] => 1101100 => [2,1,2,2] => 180
[7,4,5,6,3,1,2,8] => 1001100 => [1,2,2,2] => 211
[5,4,6,7,3,1,2,8] => 1001100 => [1,2,2,2] => 211
[4,5,6,7,3,1,2,8] => 0001100 => [3,2,2] => 105
[7,6,5,3,4,1,2,8] => 1110100 => [3,1,1,2] => 117
[7,5,6,3,4,1,2,8] => 1010100 => [1,1,1,1,1,2] => 297
[6,7,3,4,5,1,2,8] => 0100100 => [1,1,2,1,2] => 252
[7,5,3,4,6,1,2,8] => 1100100 => [2,2,1,2] => 180
[6,5,4,3,7,1,2,8] => 1110100 => [3,1,1,2] => 117
[5,6,3,4,7,1,2,8] => 0100100 => [1,1,2,1,2] => 252
[6,4,3,5,7,1,2,8] => 1100100 => [2,2,1,2] => 180
[6,3,4,5,7,1,2,8] => 1000100 => [1,3,1,2] => 157
[4,3,5,6,7,1,2,8] => 1000100 => [1,3,1,2] => 157
[3,4,5,6,7,1,2,8] => 0000100 => [4,1,2] => 55
[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] => 171
[7,6,4,5,2,1,3,8] => 1101100 => [2,1,2,2] => 180
[7,5,4,6,2,1,3,8] => 1101100 => [2,1,2,2] => 180
[7,4,5,6,2,1,3,8] => 1001100 => [1,2,2,2] => 211
[5,4,6,7,2,1,3,8] => 1001100 => [1,2,2,2] => 211
[4,5,6,7,2,1,3,8] => 0001100 => [3,2,2] => 105
[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] => 145
[5,6,7,4,1,2,3,8] => 0011000 => [2,2,3] => 105
[7,6,4,5,1,2,3,8] => 1101000 => [2,1,1,3] => 117
[7,5,4,6,1,2,3,8] => 1101000 => [2,1,1,3] => 117
[7,4,5,6,1,2,3,8] => 1001000 => [1,2,1,3] => 137
[5,4,6,7,1,2,3,8] => 1001000 => [1,2,1,3] => 137
[4,5,6,7,1,2,3,8] => 0001000 => [3,1,3] => 69
[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] => 117
[6,7,5,2,3,1,4,8] => 0110100 => [1,2,1,1,2] => 241
[7,5,6,2,3,1,4,8] => 1010100 => [1,1,1,1,1,2] => 297
[6,5,7,2,3,1,4,8] => 1010100 => [1,1,1,1,1,2] => 297
[5,6,7,2,3,1,4,8] => 0010100 => [2,1,1,1,2] => 207
[7,5,6,3,1,2,4,8] => 1011000 => [1,1,2,3] => 145
[7,6,5,2,1,3,4,8] => 1111000 => [4,3] => 35
[6,7,5,2,1,3,4,8] => 0111000 => [1,3,3] => 95
[7,5,6,2,1,3,4,8] => 1011000 => [1,1,2,3] => 145
[5,6,7,2,1,3,4,8] => 0011000 => [2,2,3] => 105
[7,6,5,1,2,3,4,8] => 1110000 => [3,4] => 35
[6,7,5,1,2,3,4,8] => 0110000 => [1,2,4] => 65
[7,5,6,1,2,3,4,8] => 1010000 => [1,1,1,4] => 75
[6,5,7,1,2,3,4,8] => 1010000 => [1,1,1,4] => 75
[5,6,7,1,2,3,4,8] => 0010000 => [2,1,4] => 55
[7,6,4,3,2,1,5,8] => 1111100 => [5,2] => 21
[6,7,4,3,2,1,5,8] => 0111100 => [1,4,2] => 81
[7,6,3,4,2,1,5,8] => 1101100 => [2,1,2,2] => 180
[7,6,3,2,4,1,5,8] => 1110100 => [3,1,1,2] => 117
[6,7,3,2,4,1,5,8] => 0110100 => [1,2,1,1,2] => 241
[7,6,2,3,4,1,5,8] => 1100100 => [2,2,1,2] => 180
[6,7,2,3,4,1,5,8] => 0100100 => [1,1,2,1,2] => 252
[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] => 165
[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] => 95
[7,6,2,3,1,4,5,8] => 1101000 => [2,1,1,3] => 117
[6,7,2,3,1,4,5,8] => 0101000 => [1,1,1,1,3] => 165
[6,7,3,1,2,4,5,8] => 0110000 => [1,2,4] => 65
[7,6,1,2,3,4,5,8] => 1100000 => [2,5] => 21
[6,7,1,2,3,4,5,8] => 0100000 => [1,1,5] => 27
[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] => 171
[7,4,3,5,2,1,6,8] => 1101100 => [2,1,2,2] => 180
[7,3,4,5,2,1,6,8] => 1001100 => [1,2,2,2] => 211
[7,5,4,2,3,1,6,8] => 1110100 => [3,1,1,2] => 117
[7,5,3,2,4,1,6,8] => 1110100 => [3,1,1,2] => 117
[7,5,2,3,4,1,6,8] => 1100100 => [2,2,1,2] => 180
[7,4,2,3,5,1,6,8] => 1100100 => [2,2,1,2] => 180
[7,2,3,4,5,1,6,8] => 1000100 => [1,3,1,2] => 157
[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] => 117
[7,4,5,2,1,3,6,8] => 1011000 => [1,1,2,3] => 145
[7,4,5,1,2,3,6,8] => 1010000 => [1,1,1,4] => 75
[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] => 117
[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] => 137
[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] => 75
[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] => 75
[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] => 81
[5,4,6,3,2,1,7,8] => 1011100 => [1,1,3,2] => 171
[4,5,6,3,2,1,7,8] => 0011100 => [2,3,2] => 126
[6,5,3,4,2,1,7,8] => 1101100 => [2,1,2,2] => 180
[5,6,3,4,2,1,7,8] => 0101100 => [1,1,1,2,2] => 255
[5,4,3,6,2,1,7,8] => 1101100 => [2,1,2,2] => 180
[3,4,5,6,2,1,7,8] => 0001100 => [3,2,2] => 105
[5,4,6,2,3,1,7,8] => 1010100 => [1,1,1,1,1,2] => 297
[5,6,3,2,4,1,7,8] => 0110100 => [1,2,1,1,2] => 241
[6,5,2,3,4,1,7,8] => 1100100 => [2,2,1,2] => 180
[5,6,2,3,4,1,7,8] => 0100100 => [1,1,2,1,2] => 252
[6,4,3,2,5,1,7,8] => 1110100 => [3,1,1,2] => 117
[6,2,3,4,5,1,7,8] => 1000100 => [1,3,1,2] => 157
[5,4,3,2,6,1,7,8] => 1110100 => [3,1,1,2] => 117
[4,5,3,2,6,1,7,8] => 0110100 => [1,2,1,1,2] => 241
[4,3,5,2,6,1,7,8] => 1010100 => [1,1,1,1,1,2] => 297
[3,4,5,2,6,1,7,8] => 0010100 => [2,1,1,1,2] => 207
[5,3,2,4,6,1,7,8] => 1100100 => [2,2,1,2] => 180
[5,2,3,4,6,1,7,8] => 1000100 => [1,3,1,2] => 157
[4,3,2,5,6,1,7,8] => 1100100 => [2,2,1,2] => 180
[3,4,2,5,6,1,7,8] => 0100100 => [1,1,2,1,2] => 252
[4,2,3,5,6,1,7,8] => 1000100 => [1,3,1,2] => 157
[3,2,4,5,6,1,7,8] => 1000100 => [1,3,1,2] => 157
[2,3,4,5,6,1,7,8] => 0000100 => [4,1,2] => 55
[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] => 145
[5,4,6,3,1,2,7,8] => 1011000 => [1,1,2,3] => 145
[5,6,3,4,1,2,7,8] => 0101000 => [1,1,1,1,3] => 165
[5,4,3,6,1,2,7,8] => 1101000 => [2,1,1,3] => 117
[4,3,5,6,1,2,7,8] => 1001000 => [1,2,1,3] => 137
[3,4,5,6,1,2,7,8] => 0001000 => [3,1,3] => 69
[6,5,4,2,1,3,7,8] => 1111000 => [4,3] => 35
[5,6,4,2,1,3,7,8] => 0111000 => [1,3,3] => 95
[6,4,5,2,1,3,7,8] => 1011000 => [1,1,2,3] => 145
[4,5,6,2,1,3,7,8] => 0011000 => [2,2,3] => 105
[6,5,4,1,2,3,7,8] => 1110000 => [3,4] => 35
[4,5,6,1,2,3,7,8] => 0010000 => [2,1,4] => 55
[6,5,3,2,1,4,7,8] => 1111000 => [4,3] => 35
[5,6,3,2,1,4,7,8] => 0111000 => [1,3,3] => 95
[5,6,2,1,3,4,7,8] => 0110000 => [1,2,4] => 65
[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] => 145
[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] => 75
[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] => 95
[5,3,4,2,1,6,7,8] => 1011000 => [1,1,2,3] => 145
[4,3,5,2,1,6,7,8] => 1011000 => [1,1,2,3] => 145
[3,4,5,2,1,6,7,8] => 0011000 => [2,2,3] => 105
[5,4,2,3,1,6,7,8] => 1101000 => [2,1,1,3] => 117
[4,5,2,3,1,6,7,8] => 0101000 => [1,1,1,1,3] => 165
[5,3,2,4,1,6,7,8] => 1101000 => [2,1,1,3] => 117
[5,2,3,4,1,6,7,8] => 1001000 => [1,2,1,3] => 137
[4,3,2,5,1,6,7,8] => 1101000 => [2,1,1,3] => 117
[3,4,2,5,1,6,7,8] => 0101000 => [1,1,1,1,3] => 165
[4,2,3,5,1,6,7,8] => 1001000 => [1,2,1,3] => 137
[3,2,4,5,1,6,7,8] => 1001000 => [1,2,1,3] => 137
[2,3,4,5,1,6,7,8] => 0001000 => [3,1,3] => 69
[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] => 75
[4,3,5,1,2,6,7,8] => 1010000 => [1,1,1,4] => 75
[3,4,5,1,2,6,7,8] => 0010000 => [2,1,4] => 55
[5,4,2,1,3,6,7,8] => 1110000 => [3,4] => 35
[4,5,2,1,3,6,7,8] => 0110000 => [1,2,4] => 65
[5,4,1,2,3,6,7,8] => 1100000 => [2,5] => 21
[4,5,1,2,3,6,7,8] => 0100000 => [1,1,5] => 27
[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] => 75
[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] => 65
[4,2,3,1,5,6,7,8] => 1010000 => [1,1,1,4] => 75
[3,2,4,1,5,6,7,8] => 1010000 => [1,1,1,4] => 75
[2,3,4,1,5,6,7,8] => 0010000 => [2,1,4] => 55
[4,3,1,2,5,6,7,8] => 1100000 => [2,5] => 21
[3,4,1,2,5,6,7,8] => 0100000 => [1,1,5] => 27
[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] => 27
[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] => 27
[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] => 75
[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] => 75
[4,6,7,8,5,3,2,1] => 0001111 => [3,4] => 35
[5,4,7,8,6,3,2,1] => 1001111 => [1,2,4] => 65
[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] => 55
[5,6,4,8,7,3,2,1] => 0101111 => [1,1,1,4] => 75
[4,6,5,8,7,3,2,1] => 0101111 => [1,1,1,4] => 75
[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] => 137
[4,7,6,5,8,3,2,1] => 0110111 => [1,2,1,3] => 137
[4,6,7,5,8,3,2,1] => 0010111 => [2,1,1,3] => 117
[5,4,7,6,8,3,2,1] => 1010111 => [1,1,1,1,3] => 165
[4,5,7,6,8,3,2,1] => 0010111 => [2,1,1,3] => 117
[4,6,5,7,8,3,2,1] => 0100111 => [1,1,2,3] => 145
[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] => 75
[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] => 137
[3,6,7,5,8,4,2,1] => 0010111 => [2,1,1,3] => 117
[3,5,7,6,8,4,2,1] => 0010111 => [2,1,1,3] => 117
[3,5,6,7,8,4,2,1] => 0000111 => [4,3] => 35
[4,3,8,7,6,5,2,1] => 1011111 => [1,1,5] => 27
[4,3,7,8,6,5,2,1] => 1001111 => [1,2,4] => 65
[4,3,6,7,8,5,2,1] => 1000111 => [1,3,3] => 95
[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] => 55
[5,4,3,7,8,6,2,1] => 1100111 => [2,2,3] => 105
[3,5,4,7,8,6,2,1] => 0100111 => [1,1,2,3] => 145
[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] => 69
[5,6,4,3,8,7,2,1] => 0110111 => [1,2,1,3] => 137
[4,5,6,3,8,7,2,1] => 0010111 => [2,1,1,3] => 117
[4,3,6,5,8,7,2,1] => 1010111 => [1,1,1,1,3] => 165
[5,4,3,6,8,7,2,1] => 1100111 => [2,2,3] => 105
[4,5,3,6,8,7,2,1] => 0100111 => [1,1,2,3] => 145
[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] => 157
[4,7,6,5,3,8,2,1] => 0111011 => [1,3,1,2] => 157
[5,4,7,6,3,8,2,1] => 1011011 => [1,1,2,1,2] => 252
[3,7,6,5,4,8,2,1] => 0111011 => [1,3,1,2] => 157
[3,5,7,6,4,8,2,1] => 0011011 => [2,2,1,2] => 180
[3,5,6,7,4,8,2,1] => 0001011 => [3,1,1,2] => 117
[4,3,7,6,5,8,2,1] => 1011011 => [1,1,2,1,2] => 252
[3,4,7,6,5,8,2,1] => 0011011 => [2,2,1,2] => 180
[3,4,6,7,5,8,2,1] => 0001011 => [3,1,1,2] => 117
[4,5,3,7,6,8,2,1] => 0101011 => [1,1,1,1,1,2] => 297
[3,5,4,7,6,8,2,1] => 0101011 => [1,1,1,1,1,2] => 297
[4,3,5,7,6,8,2,1] => 1001011 => [1,2,1,1,2] => 241
[3,4,5,7,6,8,2,1] => 0001011 => [3,1,1,2] => 117
[3,6,5,4,7,8,2,1] => 0110011 => [1,2,2,2] => 211
[3,5,6,4,7,8,2,1] => 0010011 => [2,1,2,2] => 180
[4,3,6,5,7,8,2,1] => 1010011 => [1,1,1,2,2] => 255
[3,4,6,5,7,8,2,1] => 0010011 => [2,1,2,2] => 180
[3,5,4,6,7,8,2,1] => 0100011 => [1,1,3,2] => 171
[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] => 75
[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] => 117
[2,6,5,7,8,4,3,1] => 0100111 => [1,1,2,3] => 145
[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] => 75
[2,5,4,7,8,6,3,1] => 0100111 => [1,1,2,3] => 145
[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] => 137
[2,5,6,4,8,7,3,1] => 0010111 => [2,1,1,3] => 117
[2,4,6,5,8,7,3,1] => 0010111 => [2,1,1,3] => 117
[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] => 157
[2,6,7,5,4,8,3,1] => 0011011 => [2,2,1,2] => 180
[2,5,6,7,4,8,3,1] => 0001011 => [3,1,1,2] => 117
[2,4,7,6,5,8,3,1] => 0011011 => [2,2,1,2] => 180
[2,4,6,7,5,8,3,1] => 0001011 => [3,1,1,2] => 117
[2,5,4,7,6,8,3,1] => 0101011 => [1,1,1,1,1,2] => 297
[2,6,5,4,7,8,3,1] => 0110011 => [1,2,2,2] => 211
[2,5,6,4,7,8,3,1] => 0010011 => [2,1,2,2] => 180
[2,4,6,5,7,8,3,1] => 0010011 => [2,1,2,2] => 180
[2,5,4,6,7,8,3,1] => 0100011 => [1,1,3,2] => 171
[2,4,5,6,7,8,3,1] => 0000011 => [5,2] => 21
[3,2,8,7,6,5,4,1] => 1011111 => [1,1,5] => 27
[3,2,6,8,7,5,4,1] => 1001111 => [1,2,4] => 65
[3,2,5,7,8,6,4,1] => 1000111 => [1,3,3] => 95
[3,2,6,5,8,7,4,1] => 1010111 => [1,1,1,1,3] => 165
[3,2,5,7,6,8,4,1] => 1001011 => [1,2,1,1,2] => 241
[3,2,5,6,7,8,4,1] => 1000011 => [1,4,2] => 81
[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] => 117
[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] => 180
[2,3,5,7,6,8,4,1] => 0001011 => [3,1,1,2] => 117
[2,3,5,6,7,8,4,1] => 0000011 => [5,2] => 21
[4,3,2,8,7,6,5,1] => 1101111 => [2,1,4] => 55
[4,3,2,7,8,6,5,1] => 1100111 => [2,2,3] => 105
[3,4,2,8,7,6,5,1] => 0101111 => [1,1,1,4] => 75
[3,4,2,7,8,6,5,1] => 0100111 => [1,1,2,3] => 145
[2,4,3,8,7,6,5,1] => 0101111 => [1,1,1,4] => 75
[2,4,3,6,8,7,5,1] => 0100111 => [1,1,2,3] => 145
[2,4,3,6,7,8,5,1] => 0100011 => [1,1,3,2] => 171
[3,2,4,8,7,6,5,1] => 1001111 => [1,2,4] => 65
[3,2,4,7,8,6,5,1] => 1000111 => [1,3,3] => 95
[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] => 117
[2,3,4,6,7,8,5,1] => 0000011 => [5,2] => 21
[5,4,3,2,8,7,6,1] => 1110111 => [3,1,3] => 69
[5,4,3,2,7,8,6,1] => 1110011 => [3,2,2] => 105
[3,5,4,2,7,8,6,1] => 0110011 => [1,2,2,2] => 211
[3,4,5,2,7,8,6,1] => 0010011 => [2,1,2,2] => 180
[2,5,4,3,8,7,6,1] => 0110111 => [1,2,1,3] => 137
[2,5,4,3,7,8,6,1] => 0110011 => [1,2,2,2] => 211
[2,4,5,3,8,7,6,1] => 0010111 => [2,1,1,3] => 117
[2,4,5,3,7,8,6,1] => 0010011 => [2,1,2,2] => 180
[3,2,5,4,7,8,6,1] => 1010011 => [1,1,1,2,2] => 255
[2,3,5,4,8,7,6,1] => 0010111 => [2,1,1,3] => 117
[2,3,5,4,7,8,6,1] => 0010011 => [2,1,2,2] => 180
[4,3,2,5,8,7,6,1] => 1100111 => [2,2,3] => 105
[4,3,2,5,7,8,6,1] => 1100011 => [2,3,2] => 126
[3,4,2,5,8,7,6,1] => 0100111 => [1,1,2,3] => 145
[3,4,2,5,7,8,6,1] => 0100011 => [1,1,3,2] => 171
[2,4,3,5,8,7,6,1] => 0100111 => [1,1,2,3] => 145
[3,2,4,5,7,8,6,1] => 1000011 => [1,4,2] => 81
[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] => 55
[4,6,5,3,2,8,7,1] => 0111011 => [1,3,1,2] => 157
[5,4,6,3,2,8,7,1] => 1011011 => [1,1,2,1,2] => 252
[4,5,6,3,2,8,7,1] => 0011011 => [2,2,1,2] => 180
[3,6,5,4,2,8,7,1] => 0111011 => [1,3,1,2] => 157
[3,5,6,4,2,8,7,1] => 0011011 => [2,2,1,2] => 180
[4,3,6,5,2,8,7,1] => 1011011 => [1,1,2,1,2] => 252
[5,4,3,6,2,8,7,1] => 1101011 => [2,1,1,1,2] => 207
[4,5,3,6,2,8,7,1] => 0101011 => [1,1,1,1,1,2] => 297
[3,5,4,6,2,8,7,1] => 0101011 => [1,1,1,1,1,2] => 297
[3,4,5,6,2,8,7,1] => 0001011 => [3,1,1,2] => 117
[2,6,5,4,3,8,7,1] => 0111011 => [1,3,1,2] => 157
[2,4,6,5,3,8,7,1] => 0011011 => [2,2,1,2] => 180
[2,4,5,6,3,8,7,1] => 0001011 => [3,1,1,2] => 117
[3,2,6,5,4,8,7,1] => 1011011 => [1,1,2,1,2] => 252
[2,3,5,6,4,8,7,1] => 0001011 => [3,1,1,2] => 117
[4,3,2,6,5,8,7,1] => 1101011 => [2,1,1,1,2] => 207
[2,4,3,6,5,8,7,1] => 0101011 => [1,1,1,1,1,2] => 297
[3,2,4,6,5,8,7,1] => 1001011 => [1,2,1,1,2] => 241
[2,3,4,6,5,8,7,1] => 0001011 => [3,1,1,2] => 117
[5,4,3,2,6,8,7,1] => 1110011 => [3,2,2] => 105
[4,5,3,2,6,8,7,1] => 0110011 => [1,2,2,2] => 211
[2,5,4,3,6,8,7,1] => 0110011 => [1,2,2,2] => 211
[2,4,5,3,6,8,7,1] => 0010011 => [2,1,2,2] => 180
[3,2,5,4,6,8,7,1] => 1010011 => [1,1,1,2,2] => 255
[4,3,2,5,6,8,7,1] => 1100011 => [2,3,2] => 126
[3,4,2,5,6,8,7,1] => 0100011 => [1,1,3,2] => 171
[2,4,3,5,6,8,7,1] => 0100011 => [1,1,3,2] => 171
[3,2,4,5,6,8,7,1] => 1000011 => [1,4,2] => 81
[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] => 107
[4,7,6,5,3,2,8,1] => 0111101 => [1,4,1,1] => 107
[4,6,7,5,3,2,8,1] => 0011101 => [2,3,1,1] => 171
[4,6,5,7,3,2,8,1] => 0101101 => [1,1,1,2,1,1] => 359
[3,5,7,6,4,2,8,1] => 0011101 => [2,3,1,1] => 171
[3,5,6,7,4,2,8,1] => 0001101 => [3,2,1,1] => 145
[4,3,7,6,5,2,8,1] => 1011101 => [1,1,3,1,1] => 233
[4,3,6,7,5,2,8,1] => 1001101 => [1,2,2,1,1] => 295
[3,4,7,6,5,2,8,1] => 0011101 => [2,3,1,1] => 171
[3,4,6,7,5,2,8,1] => 0001101 => [3,2,1,1] => 145
[5,4,3,7,6,2,8,1] => 1101101 => [2,1,2,1,1] => 252
[4,5,3,7,6,2,8,1] => 0101101 => [1,1,1,2,1,1] => 359
[3,5,4,7,6,2,8,1] => 0101101 => [1,1,1,2,1,1] => 359
[3,4,5,7,6,2,8,1] => 0001101 => [3,2,1,1] => 145
[4,6,5,3,7,2,8,1] => 0110101 => [1,2,1,1,1,1] => 345
[3,6,5,4,7,2,8,1] => 0110101 => [1,2,1,1,1,1] => 345
[3,5,6,4,7,2,8,1] => 0010101 => [2,1,1,1,1,1] => 297
[4,3,6,5,7,2,8,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[3,4,6,5,7,2,8,1] => 0010101 => [2,1,1,1,1,1] => 297
[3,5,4,6,7,2,8,1] => 0100101 => [1,1,2,1,1,1] => 359
[2,7,6,5,4,3,8,1] => 0111101 => [1,4,1,1] => 107
[2,6,5,7,4,3,8,1] => 0101101 => [1,1,1,2,1,1] => 359
[2,5,6,7,4,3,8,1] => 0001101 => [3,2,1,1] => 145
[2,4,6,7,5,3,8,1] => 0001101 => [3,2,1,1] => 145
[2,5,4,7,6,3,8,1] => 0101101 => [1,1,1,2,1,1] => 359
[2,4,6,5,7,3,8,1] => 0010101 => [2,1,1,1,1,1] => 297
[2,5,4,6,7,3,8,1] => 0100101 => [1,1,2,1,1,1] => 359
[2,4,5,6,7,3,8,1] => 0000101 => [4,1,1,1] => 75
[3,2,7,6,5,4,8,1] => 1011101 => [1,1,3,1,1] => 233
[3,2,6,7,5,4,8,1] => 1001101 => [1,2,2,1,1] => 295
[3,2,5,7,6,4,8,1] => 1001101 => [1,2,2,1,1] => 295
[3,2,6,5,7,4,8,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[3,2,5,6,7,4,8,1] => 1000101 => [1,3,1,1,1] => 219
[2,3,7,6,5,4,8,1] => 0011101 => [2,3,1,1] => 171
[2,3,5,7,6,4,8,1] => 0001101 => [3,2,1,1] => 145
[2,3,5,6,7,4,8,1] => 0000101 => [4,1,1,1] => 75
[4,3,2,7,6,5,8,1] => 1101101 => [2,1,2,1,1] => 252
[4,3,2,6,7,5,8,1] => 1100101 => [2,2,1,1,1] => 255
[3,4,2,7,6,5,8,1] => 0101101 => [1,1,1,2,1,1] => 359
[3,4,2,6,7,5,8,1] => 0100101 => [1,1,2,1,1,1] => 359
[2,4,3,7,6,5,8,1] => 0101101 => [1,1,1,2,1,1] => 359
[2,4,3,6,7,5,8,1] => 0100101 => [1,1,2,1,1,1] => 359
[3,2,4,7,6,5,8,1] => 1001101 => [1,2,2,1,1] => 295
[2,3,4,7,6,5,8,1] => 0001101 => [3,2,1,1] => 145
[2,3,4,6,7,5,8,1] => 0000101 => [4,1,1,1] => 75
[5,4,3,2,7,6,8,1] => 1110101 => [3,1,1,1,1] => 165
[3,5,4,2,7,6,8,1] => 0110101 => [1,2,1,1,1,1] => 345
[4,3,5,2,7,6,8,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[3,4,5,2,7,6,8,1] => 0010101 => [2,1,1,1,1,1] => 297
[2,5,4,3,7,6,8,1] => 0110101 => [1,2,1,1,1,1] => 345
[3,2,5,4,7,6,8,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[2,3,5,4,7,6,8,1] => 0010101 => [2,1,1,1,1,1] => 297
[4,3,2,5,7,6,8,1] => 1100101 => [2,2,1,1,1] => 255
[3,4,2,5,7,6,8,1] => 0100101 => [1,1,2,1,1,1] => 359
[2,4,3,5,7,6,8,1] => 0100101 => [1,1,2,1,1,1] => 359
[3,2,4,5,7,6,8,1] => 1000101 => [1,3,1,1,1] => 219
[2,3,4,5,7,6,8,1] => 0000101 => [4,1,1,1] => 75
[3,6,5,4,2,7,8,1] => 0111001 => [1,3,2,1] => 185
[3,5,6,4,2,7,8,1] => 0011001 => [2,2,2,1] => 211
[3,4,6,5,2,7,8,1] => 0011001 => [2,2,2,1] => 211
[3,5,4,6,2,7,8,1] => 0101001 => [1,1,1,1,2,1] => 345
[2,6,5,4,3,7,8,1] => 0111001 => [1,3,2,1] => 185
[2,5,6,4,3,7,8,1] => 0011001 => [2,2,2,1] => 211
[2,4,6,5,3,7,8,1] => 0011001 => [2,2,2,1] => 211
[2,5,4,6,3,7,8,1] => 0101001 => [1,1,1,1,2,1] => 345
[2,4,5,6,3,7,8,1] => 0001001 => [3,1,2,1] => 137
[3,2,5,6,4,7,8,1] => 1001001 => [1,2,1,2,1] => 281
[2,3,6,5,4,7,8,1] => 0011001 => [2,2,2,1] => 211
[2,3,5,6,4,7,8,1] => 0001001 => [3,1,2,1] => 137
[4,3,2,6,5,7,8,1] => 1101001 => [2,1,1,2,1] => 241
[3,4,2,6,5,7,8,1] => 0101001 => [1,1,1,1,2,1] => 345
[2,4,3,6,5,7,8,1] => 0101001 => [1,1,1,1,2,1] => 345
[2,3,4,6,5,7,8,1] => 0001001 => [3,1,2,1] => 137
[3,5,4,2,6,7,8,1] => 0110001 => [1,2,3,1] => 185
[2,5,4,3,6,7,8,1] => 0110001 => [1,2,3,1] => 185
[2,4,5,3,6,7,8,1] => 0010001 => [2,1,3,1] => 157
[3,2,5,4,6,7,8,1] => 1010001 => [1,1,1,3,1] => 219
[2,3,5,4,6,7,8,1] => 0010001 => [2,1,3,1] => 157
[2,4,3,5,6,7,8,1] => 0100001 => [1,1,4,1] => 107
[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] => 75
[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] => 75
[1,7,6,5,8,4,3,2] => 0110111 => [1,2,1,3] => 137
[1,6,7,5,8,4,3,2] => 0010111 => [2,1,1,3] => 117
[1,5,7,6,8,4,3,2] => 0010111 => [2,1,1,3] => 117
[1,6,5,7,8,4,3,2] => 0100111 => [1,1,2,3] => 145
[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] => 145
[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] => 137
[1,4,6,5,8,7,3,2] => 0010111 => [2,1,1,3] => 117
[1,7,6,5,4,8,3,2] => 0111011 => [1,3,1,2] => 157
[1,4,7,6,5,8,3,2] => 0011011 => [2,2,1,2] => 180
[1,4,6,7,5,8,3,2] => 0001011 => [3,1,1,2] => 117
[1,6,5,4,7,8,3,2] => 0110011 => [1,2,2,2] => 211
[1,5,6,4,7,8,3,2] => 0010011 => [2,1,2,2] => 180
[1,5,4,6,7,8,3,2] => 0100011 => [1,1,3,2] => 171
[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] => 117
[1,3,5,7,6,8,4,2] => 0001011 => [3,1,1,2] => 117
[1,3,6,5,7,8,4,2] => 0010011 => [2,1,2,2] => 180
[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] => 75
[1,4,3,7,8,6,5,2] => 0100111 => [1,1,2,3] => 145
[1,4,3,6,8,7,5,2] => 0100111 => [1,1,2,3] => 145
[1,4,3,7,6,8,5,2] => 0101011 => [1,1,1,1,1,2] => 297
[1,4,3,6,7,8,5,2] => 0100011 => [1,1,3,2] => 171
[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] => 117
[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] => 137
[1,4,5,3,8,7,6,2] => 0010111 => [2,1,1,3] => 117
[1,4,5,3,7,8,6,2] => 0010011 => [2,1,2,2] => 180
[1,3,5,4,8,7,6,2] => 0010111 => [2,1,1,3] => 117
[1,3,5,4,7,8,6,2] => 0010011 => [2,1,2,2] => 180
[1,4,3,5,8,7,6,2] => 0100111 => [1,1,2,3] => 145
[1,4,3,5,7,8,6,2] => 0100011 => [1,1,3,2] => 171
[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] => 157
[1,5,6,4,3,8,7,2] => 0011011 => [2,2,1,2] => 180
[1,4,6,5,3,8,7,2] => 0011011 => [2,2,1,2] => 180
[1,4,5,6,3,8,7,2] => 0001011 => [3,1,1,2] => 117
[1,3,6,5,4,8,7,2] => 0011011 => [2,2,1,2] => 180
[1,4,3,6,5,8,7,2] => 0101011 => [1,1,1,1,1,2] => 297
[1,5,4,3,6,8,7,2] => 0110011 => [1,2,2,2] => 211
[1,4,5,3,6,8,7,2] => 0010011 => [2,1,2,2] => 180
[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] => 107
[1,6,7,5,4,3,8,2] => 0011101 => [2,3,1,1] => 171
[1,6,5,7,4,3,8,2] => 0101101 => [1,1,1,2,1,1] => 359
[1,4,6,7,5,3,8,2] => 0001101 => [3,2,1,1] => 145
[1,5,6,4,7,3,8,2] => 0010101 => [2,1,1,1,1,1] => 297
[1,4,6,5,7,3,8,2] => 0010101 => [2,1,1,1,1,1] => 297
[1,5,4,6,7,3,8,2] => 0100101 => [1,1,2,1,1,1] => 359
[1,4,5,6,7,3,8,2] => 0000101 => [4,1,1,1] => 75
[1,3,5,7,6,4,8,2] => 0001101 => [3,2,1,1] => 145
[1,3,6,5,7,4,8,2] => 0010101 => [2,1,1,1,1,1] => 297
[1,3,5,6,7,4,8,2] => 0000101 => [4,1,1,1] => 75
[1,4,3,6,7,5,8,2] => 0100101 => [1,1,2,1,1,1] => 359
[1,3,4,7,6,5,8,2] => 0001101 => [3,2,1,1] => 145
[1,3,4,6,7,5,8,2] => 0000101 => [4,1,1,1] => 75
[1,3,5,4,7,6,8,2] => 0010101 => [2,1,1,1,1,1] => 297
[1,3,4,5,7,6,8,2] => 0000101 => [4,1,1,1] => 75
[1,6,5,4,3,7,8,2] => 0111001 => [1,3,2,1] => 185
[1,5,4,6,3,7,8,2] => 0101001 => [1,1,1,1,2,1] => 345
[1,3,5,6,4,7,8,2] => 0001001 => [3,1,2,1] => 137
[1,4,3,6,5,7,8,2] => 0101001 => [1,1,1,1,2,1] => 345
[1,3,4,6,5,7,8,2] => 0001001 => [3,1,2,1] => 137
[1,5,4,3,6,7,8,2] => 0110001 => [1,2,3,1] => 185
[1,4,5,3,6,7,8,2] => 0010001 => [2,1,3,1] => 157
[1,3,5,4,6,7,8,2] => 0010001 => [2,1,3,1] => 157
[1,4,3,5,6,7,8,2] => 0100001 => [1,1,4,1] => 107
[1,3,4,5,6,7,8,2] => 0000001 => [6,1] => 7
[2,1,8,7,6,5,4,3] => 1011111 => [1,1,5] => 27
[2,1,7,8,6,5,4,3] => 1001111 => [1,2,4] => 65
[2,1,6,8,7,5,4,3] => 1001111 => [1,2,4] => 65
[2,1,7,6,8,5,4,3] => 1010111 => [1,1,1,1,3] => 165
[2,1,6,7,8,5,4,3] => 1000111 => [1,3,3] => 95
[2,1,5,8,7,6,4,3] => 1001111 => [1,2,4] => 65
[2,1,5,7,8,6,4,3] => 1000111 => [1,3,3] => 95
[2,1,6,5,8,7,4,3] => 1010111 => [1,1,1,1,3] => 165
[2,1,5,6,8,7,4,3] => 1000111 => [1,3,3] => 95
[2,1,7,6,5,8,4,3] => 1011011 => [1,1,2,1,2] => 252
[2,1,6,7,5,8,4,3] => 1001011 => [1,2,1,1,2] => 241
[2,1,5,7,6,8,4,3] => 1001011 => [1,2,1,1,2] => 241
[2,1,6,5,7,8,4,3] => 1010011 => [1,1,1,2,2] => 255
[2,1,5,6,7,8,4,3] => 1000011 => [1,4,2] => 81
[2,1,4,8,7,6,5,3] => 1001111 => [1,2,4] => 65
[2,1,4,7,8,6,5,3] => 1000111 => [1,3,3] => 95
[2,1,4,6,8,7,5,3] => 1000111 => [1,3,3] => 95
[2,1,4,7,6,8,5,3] => 1001011 => [1,2,1,1,2] => 241
[2,1,4,6,7,8,5,3] => 1000011 => [1,4,2] => 81
[2,1,5,4,8,7,6,3] => 1010111 => [1,1,1,1,3] => 165
[2,1,5,4,7,8,6,3] => 1010011 => [1,1,1,2,2] => 255
[2,1,4,5,8,7,6,3] => 1000111 => [1,3,3] => 95
[2,1,4,5,7,8,6,3] => 1000011 => [1,4,2] => 81
[2,1,6,5,4,8,7,3] => 1011011 => [1,1,2,1,2] => 252
[2,1,5,6,4,8,7,3] => 1001011 => [1,2,1,1,2] => 241
[2,1,4,6,5,8,7,3] => 1001011 => [1,2,1,1,2] => 241
[2,1,5,4,6,8,7,3] => 1010011 => [1,1,1,2,2] => 255
[2,1,4,5,6,8,7,3] => 1000011 => [1,4,2] => 81
[2,1,7,6,5,4,8,3] => 1011101 => [1,1,3,1,1] => 233
[2,1,6,7,5,4,8,3] => 1001101 => [1,2,2,1,1] => 295
[2,1,5,7,6,4,8,3] => 1001101 => [1,2,2,1,1] => 295
[2,1,6,5,7,4,8,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[2,1,5,6,7,4,8,3] => 1000101 => [1,3,1,1,1] => 219
[2,1,4,7,6,5,8,3] => 1001101 => [1,2,2,1,1] => 295
[2,1,4,6,7,5,8,3] => 1000101 => [1,3,1,1,1] => 219
[2,1,5,4,7,6,8,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[2,1,5,6,4,7,8,3] => 1001001 => [1,2,1,2,1] => 281
[2,1,5,4,6,7,8,3] => 1010001 => [1,1,1,3,1] => 219
[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] => 117
[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] => 117
[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] => 180
[1,2,5,7,6,8,4,3] => 0001011 => [3,1,1,2] => 117
[1,2,6,5,7,8,4,3] => 0010011 => [2,1,2,2] => 180
[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] => 117
[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] => 117
[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] => 180
[1,2,5,4,6,8,7,3] => 0010011 => [2,1,2,2] => 180
[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] => 171
[1,2,5,7,6,4,8,3] => 0001101 => [3,2,1,1] => 145
[1,2,5,6,7,4,8,3] => 0000101 => [4,1,1,1] => 75
[1,2,4,7,6,5,8,3] => 0001101 => [3,2,1,1] => 145
[1,2,5,4,7,6,8,3] => 0010101 => [2,1,1,1,1,1] => 297
[1,2,6,5,4,7,8,3] => 0011001 => [2,2,2,1] => 211
[1,2,5,6,4,7,8,3] => 0001001 => [3,1,2,1] => 137
[1,2,4,6,5,7,8,3] => 0001001 => [3,1,2,1] => 137
[1,2,5,4,6,7,8,3] => 0010001 => [2,1,3,1] => 157
[1,2,4,5,6,7,8,3] => 0000001 => [6,1] => 7
[3,2,1,8,7,6,5,4] => 1101111 => [2,1,4] => 55
[3,2,1,7,8,6,5,4] => 1100111 => [2,2,3] => 105
[3,2,1,6,8,7,5,4] => 1100111 => [2,2,3] => 105
[3,2,1,7,6,8,5,4] => 1101011 => [2,1,1,1,2] => 207
[3,2,1,6,7,8,5,4] => 1100011 => [2,3,2] => 126
[3,2,1,5,8,7,6,4] => 1100111 => [2,2,3] => 105
[3,2,1,5,7,8,6,4] => 1100011 => [2,3,2] => 126
[3,2,1,6,5,8,7,4] => 1101011 => [2,1,1,1,2] => 207
[3,2,1,5,6,8,7,4] => 1100011 => [2,3,2] => 126
[3,2,1,7,6,5,8,4] => 1101101 => [2,1,2,1,1] => 252
[3,2,1,6,7,5,8,4] => 1100101 => [2,2,1,1,1] => 255
[3,2,1,5,7,6,8,4] => 1100101 => [2,2,1,1,1] => 255
[3,2,1,6,5,7,8,4] => 1101001 => [2,1,1,2,1] => 241
[3,2,1,5,6,7,8,4] => 1100001 => [2,4,1] => 81
[2,3,1,8,7,6,5,4] => 0101111 => [1,1,1,4] => 75
[2,3,1,7,8,6,5,4] => 0100111 => [1,1,2,3] => 145
[2,3,1,6,8,7,5,4] => 0100111 => [1,1,2,3] => 145
[2,3,1,7,6,8,5,4] => 0101011 => [1,1,1,1,1,2] => 297
[2,3,1,6,7,8,5,4] => 0100011 => [1,1,3,2] => 171
[2,3,1,5,7,8,6,4] => 0100011 => [1,1,3,2] => 171
[2,3,1,6,5,8,7,4] => 0101011 => [1,1,1,1,1,2] => 297
[2,3,1,7,6,5,8,4] => 0101101 => [1,1,1,2,1,1] => 359
[2,3,1,6,7,5,8,4] => 0100101 => [1,1,2,1,1,1] => 359
[2,3,1,5,7,6,8,4] => 0100101 => [1,1,2,1,1,1] => 359
[2,3,1,5,6,7,8,4] => 0100001 => [1,1,4,1] => 107
[1,3,2,8,7,6,5,4] => 0101111 => [1,1,1,4] => 75
[1,3,2,6,8,7,5,4] => 0100111 => [1,1,2,3] => 145
[1,3,2,7,6,8,5,4] => 0101011 => [1,1,1,1,1,2] => 297
[1,3,2,6,7,8,5,4] => 0100011 => [1,1,3,2] => 171
[1,3,2,5,8,7,6,4] => 0100111 => [1,1,2,3] => 145
[1,3,2,5,7,8,6,4] => 0100011 => [1,1,3,2] => 171
[1,3,2,6,5,8,7,4] => 0101011 => [1,1,1,1,1,2] => 297
[1,3,2,5,6,8,7,4] => 0100011 => [1,1,3,2] => 171
[1,3,2,7,6,5,8,4] => 0101101 => [1,1,1,2,1,1] => 359
[1,3,2,6,7,5,8,4] => 0100101 => [1,1,2,1,1,1] => 359
[1,3,2,5,7,6,8,4] => 0100101 => [1,1,2,1,1,1] => 359
[1,3,2,6,5,7,8,4] => 0101001 => [1,1,1,1,2,1] => 345
[1,3,2,5,6,7,8,4] => 0100001 => [1,1,4,1] => 107
[2,1,3,8,7,6,5,4] => 1001111 => [1,2,4] => 65
[2,1,3,7,8,6,5,4] => 1000111 => [1,3,3] => 95
[2,1,3,6,8,7,5,4] => 1000111 => [1,3,3] => 95
[2,1,3,6,7,8,5,4] => 1000011 => [1,4,2] => 81
[2,1,3,6,5,8,7,4] => 1001011 => [1,2,1,1,2] => 241
[2,1,3,5,7,6,8,4] => 1000101 => [1,3,1,1,1] => 219
[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] => 117
[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] => 117
[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] => 145
[1,2,3,6,7,5,8,4] => 0000101 => [4,1,1,1] => 75
[1,2,3,5,7,6,8,4] => 0000101 => [4,1,1,1] => 75
[1,2,3,6,5,7,8,4] => 0001001 => [3,1,2,1] => 137
[1,2,3,5,6,7,8,4] => 0000001 => [6,1] => 7
[4,3,2,1,8,7,6,5] => 1110111 => [3,1,3] => 69
[4,3,2,1,7,8,6,5] => 1110011 => [3,2,2] => 105
[4,3,2,1,6,8,7,5] => 1110011 => [3,2,2] => 105
[4,3,2,1,7,6,8,5] => 1110101 => [3,1,1,1,1] => 165
[4,3,2,1,6,7,8,5] => 1110001 => [3,3,1] => 95
[3,4,2,1,8,7,6,5] => 0110111 => [1,2,1,3] => 137
[3,4,2,1,7,8,6,5] => 0110011 => [1,2,2,2] => 211
[3,4,2,1,6,8,7,5] => 0110011 => [1,2,2,2] => 211
[3,4,2,1,7,6,8,5] => 0110101 => [1,2,1,1,1,1] => 345
[3,4,2,1,6,7,8,5] => 0110001 => [1,2,3,1] => 185
[2,4,3,1,8,7,6,5] => 0110111 => [1,2,1,3] => 137
[2,4,3,1,7,8,6,5] => 0110011 => [1,2,2,2] => 211
[2,4,3,1,6,8,7,5] => 0110011 => [1,2,2,2] => 211
[2,4,3,1,7,6,8,5] => 0110101 => [1,2,1,1,1,1] => 345
[2,4,3,1,6,7,8,5] => 0110001 => [1,2,3,1] => 185
[3,2,4,1,8,7,6,5] => 1010111 => [1,1,1,1,3] => 165
[3,2,4,1,7,8,6,5] => 1010011 => [1,1,1,2,2] => 255
[3,2,4,1,6,8,7,5] => 1010011 => [1,1,1,2,2] => 255
[3,2,4,1,7,6,8,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[3,2,4,1,6,7,8,5] => 1010001 => [1,1,1,3,1] => 219
[2,3,4,1,8,7,6,5] => 0010111 => [2,1,1,3] => 117
[2,3,4,1,7,8,6,5] => 0010011 => [2,1,2,2] => 180
[2,3,4,1,6,8,7,5] => 0010011 => [2,1,2,2] => 180
[2,3,4,1,7,6,8,5] => 0010101 => [2,1,1,1,1,1] => 297
[2,3,4,1,6,7,8,5] => 0010001 => [2,1,3,1] => 157
[1,4,3,2,8,7,6,5] => 0110111 => [1,2,1,3] => 137
[1,4,3,2,6,8,7,5] => 0110011 => [1,2,2,2] => 211
[1,4,3,2,7,6,8,5] => 0110101 => [1,2,1,1,1,1] => 345
[1,4,3,2,6,7,8,5] => 0110001 => [1,2,3,1] => 185
[1,3,4,2,8,7,6,5] => 0010111 => [2,1,1,3] => 117
[1,3,4,2,7,8,6,5] => 0010011 => [2,1,2,2] => 180
[1,3,4,2,6,8,7,5] => 0010011 => [2,1,2,2] => 180
[1,3,4,2,7,6,8,5] => 0010101 => [2,1,1,1,1,1] => 297
[1,3,4,2,6,7,8,5] => 0010001 => [2,1,3,1] => 157
[2,1,4,3,8,7,6,5] => 1010111 => [1,1,1,1,3] => 165
[2,1,4,3,7,8,6,5] => 1010011 => [1,1,1,2,2] => 255
[2,1,4,3,6,8,7,5] => 1010011 => [1,1,1,2,2] => 255
[2,1,4,3,7,6,8,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[2,1,4,3,6,7,8,5] => 1010001 => [1,1,1,3,1] => 219
[1,2,4,3,8,7,6,5] => 0010111 => [2,1,1,3] => 117
[1,2,4,3,7,8,6,5] => 0010011 => [2,1,2,2] => 180
[1,2,4,3,6,8,7,5] => 0010011 => [2,1,2,2] => 180
[1,2,4,3,7,6,8,5] => 0010101 => [2,1,1,1,1,1] => 297
[1,2,4,3,6,7,8,5] => 0010001 => [2,1,3,1] => 157
[3,2,1,4,8,7,6,5] => 1100111 => [2,2,3] => 105
[3,2,1,4,7,8,6,5] => 1100011 => [2,3,2] => 126
[3,2,1,4,6,8,7,5] => 1100011 => [2,3,2] => 126
[3,2,1,4,7,6,8,5] => 1100101 => [2,2,1,1,1] => 255
[3,2,1,4,6,7,8,5] => 1100001 => [2,4,1] => 81
[2,3,1,4,8,7,6,5] => 0100111 => [1,1,2,3] => 145
[2,3,1,4,7,8,6,5] => 0100011 => [1,1,3,2] => 171
[2,3,1,4,7,6,8,5] => 0100101 => [1,1,2,1,1,1] => 359
[2,3,1,4,6,7,8,5] => 0100001 => [1,1,4,1] => 107
[1,3,2,4,8,7,6,5] => 0100111 => [1,1,2,3] => 145
[1,3,2,4,6,8,7,5] => 0100011 => [1,1,3,2] => 171
[1,3,2,4,7,6,8,5] => 0100101 => [1,1,2,1,1,1] => 359
[1,3,2,4,6,7,8,5] => 0100001 => [1,1,4,1] => 107
[2,1,3,4,8,7,6,5] => 1000111 => [1,3,3] => 95
[2,1,3,4,7,8,6,5] => 1000011 => [1,4,2] => 81
[2,1,3,4,7,6,8,5] => 1000101 => [1,3,1,1,1] => 219
[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] => 75
[1,2,3,4,6,7,8,5] => 0000001 => [6,1] => 7
[5,4,3,2,1,8,7,6] => 1111011 => [4,1,2] => 55
[5,4,3,2,1,7,8,6] => 1111001 => [4,2,1] => 65
[4,5,3,2,1,8,7,6] => 0111011 => [1,3,1,2] => 157
[3,5,4,2,1,8,7,6] => 0111011 => [1,3,1,2] => 157
[3,5,4,2,1,7,8,6] => 0111001 => [1,3,2,1] => 185
[4,3,5,2,1,8,7,6] => 1011011 => [1,1,2,1,2] => 252
[3,4,5,2,1,8,7,6] => 0011011 => [2,2,1,2] => 180
[3,4,5,2,1,7,8,6] => 0011001 => [2,2,2,1] => 211
[2,5,4,3,1,8,7,6] => 0111011 => [1,3,1,2] => 157
[2,5,4,3,1,7,8,6] => 0111001 => [1,3,2,1] => 185
[2,4,5,3,1,8,7,6] => 0011011 => [2,2,1,2] => 180
[2,4,5,3,1,7,8,6] => 0011001 => [2,2,2,1] => 211
[3,2,5,4,1,8,7,6] => 1011011 => [1,1,2,1,2] => 252
[3,2,5,4,1,7,8,6] => 1011001 => [1,1,2,2,1] => 295
[2,3,5,4,1,8,7,6] => 0011011 => [2,2,1,2] => 180
[4,3,2,5,1,8,7,6] => 1101011 => [2,1,1,1,2] => 207
[4,3,2,5,1,7,8,6] => 1101001 => [2,1,1,2,1] => 241
[3,4,2,5,1,8,7,6] => 0101011 => [1,1,1,1,1,2] => 297
[3,4,2,5,1,7,8,6] => 0101001 => [1,1,1,1,2,1] => 345
[2,4,3,5,1,8,7,6] => 0101011 => [1,1,1,1,1,2] => 297
[2,4,3,5,1,7,8,6] => 0101001 => [1,1,1,1,2,1] => 345
[3,2,4,5,1,8,7,6] => 1001011 => [1,2,1,1,2] => 241
[2,3,4,5,1,8,7,6] => 0001011 => [3,1,1,2] => 117
[2,3,4,5,1,7,8,6] => 0001001 => [3,1,2,1] => 137
[1,5,4,3,2,8,7,6] => 0111011 => [1,3,1,2] => 157
[1,5,4,3,2,7,8,6] => 0111001 => [1,3,2,1] => 185
[1,4,5,3,2,8,7,6] => 0011011 => [2,2,1,2] => 180
[1,4,5,3,2,7,8,6] => 0011001 => [2,2,2,1] => 211
[1,3,5,4,2,7,8,6] => 0011001 => [2,2,2,1] => 211
[1,4,3,5,2,8,7,6] => 0101011 => [1,1,1,1,1,2] => 297
[1,4,3,5,2,7,8,6] => 0101001 => [1,1,1,1,2,1] => 345
[1,3,4,5,2,8,7,6] => 0001011 => [3,1,1,2] => 117
[1,3,4,5,2,7,8,6] => 0001001 => [3,1,2,1] => 137
[2,1,5,4,3,8,7,6] => 1011011 => [1,1,2,1,2] => 252
[2,1,4,5,3,8,7,6] => 1001011 => [1,2,1,1,2] => 241
[1,2,5,4,3,8,7,6] => 0011011 => [2,2,1,2] => 180
[1,2,5,4,3,7,8,6] => 0011001 => [2,2,2,1] => 211
[1,2,4,5,3,8,7,6] => 0001011 => [3,1,1,2] => 117
[1,2,4,5,3,7,8,6] => 0001001 => [3,1,2,1] => 137
[1,3,2,5,4,8,7,6] => 0101011 => [1,1,1,1,1,2] => 297
[1,3,2,5,4,7,8,6] => 0101001 => [1,1,1,1,2,1] => 345
[2,1,3,5,4,8,7,6] => 1001011 => [1,2,1,1,2] => 241
[2,1,3,5,4,7,8,6] => 1001001 => [1,2,1,2,1] => 281
[1,2,3,5,4,8,7,6] => 0001011 => [3,1,1,2] => 117
[1,2,3,5,4,7,8,6] => 0001001 => [3,1,2,1] => 137
[4,3,2,1,5,8,7,6] => 1110011 => [3,2,2] => 105
[4,3,2,1,5,7,8,6] => 1110001 => [3,3,1] => 95
[2,4,3,1,5,8,7,6] => 0110011 => [1,2,2,2] => 211
[3,2,4,1,5,8,7,6] => 1010011 => [1,1,1,2,2] => 255
[3,2,4,1,5,7,8,6] => 1010001 => [1,1,1,3,1] => 219
[2,3,4,1,5,8,7,6] => 0010011 => [2,1,2,2] => 180
[2,3,4,1,5,7,8,6] => 0010001 => [2,1,3,1] => 157
[1,4,3,2,5,8,7,6] => 0110011 => [1,2,2,2] => 211
[1,4,3,2,5,7,8,6] => 0110001 => [1,2,3,1] => 185
[1,3,4,2,5,8,7,6] => 0010011 => [2,1,2,2] => 180
[1,3,4,2,5,7,8,6] => 0010001 => [2,1,3,1] => 157
[2,1,4,3,5,8,7,6] => 1010011 => [1,1,1,2,2] => 255
[2,1,4,3,5,7,8,6] => 1010001 => [1,1,1,3,1] => 219
[1,2,4,3,5,8,7,6] => 0010011 => [2,1,2,2] => 180
[1,2,4,3,5,7,8,6] => 0010001 => [2,1,3,1] => 157
[3,2,1,4,5,8,7,6] => 1100011 => [2,3,2] => 126
[3,2,1,4,5,7,8,6] => 1100001 => [2,4,1] => 81
[2,3,1,4,5,7,8,6] => 0100001 => [1,1,4,1] => 107
[1,3,2,4,5,8,7,6] => 0100011 => [1,1,3,2] => 171
[1,3,2,4,5,7,8,6] => 0100001 => [1,1,4,1] => 107
[2,1,3,4,5,8,7,6] => 1000011 => [1,4,2] => 81
[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] => 27
[5,6,4,3,2,1,8,7] => 0111101 => [1,4,1,1] => 107
[4,6,5,3,2,1,8,7] => 0111101 => [1,4,1,1] => 107
[5,4,6,3,2,1,8,7] => 1011101 => [1,1,3,1,1] => 233
[4,5,6,3,2,1,8,7] => 0011101 => [2,3,1,1] => 171
[3,6,5,4,2,1,8,7] => 0111101 => [1,4,1,1] => 107
[3,5,6,4,2,1,8,7] => 0011101 => [2,3,1,1] => 171
[4,3,6,5,2,1,8,7] => 1011101 => [1,1,3,1,1] => 233
[3,4,6,5,2,1,8,7] => 0011101 => [2,3,1,1] => 171
[5,4,3,6,2,1,8,7] => 1101101 => [2,1,2,1,1] => 252
[4,5,3,6,2,1,8,7] => 0101101 => [1,1,1,2,1,1] => 359
[4,3,5,6,2,1,8,7] => 1001101 => [1,2,2,1,1] => 295
[3,4,5,6,2,1,8,7] => 0001101 => [3,2,1,1] => 145
[2,6,5,4,3,1,8,7] => 0111101 => [1,4,1,1] => 107
[2,5,6,4,3,1,8,7] => 0011101 => [2,3,1,1] => 171
[2,4,6,5,3,1,8,7] => 0011101 => [2,3,1,1] => 171
[3,2,6,5,4,1,8,7] => 1011101 => [1,1,3,1,1] => 233
[3,2,5,6,4,1,8,7] => 1001101 => [1,2,2,1,1] => 295
[2,3,6,5,4,1,8,7] => 0011101 => [2,3,1,1] => 171
[2,3,5,6,4,1,8,7] => 0001101 => [3,2,1,1] => 145
[4,3,2,6,5,1,8,7] => 1101101 => [2,1,2,1,1] => 252
[3,4,2,6,5,1,8,7] => 0101101 => [1,1,1,2,1,1] => 359
[2,4,3,6,5,1,8,7] => 0101101 => [1,1,1,2,1,1] => 359
[5,4,3,2,6,1,8,7] => 1110101 => [3,1,1,1,1] => 165
[4,5,3,2,6,1,8,7] => 0110101 => [1,2,1,1,1,1] => 345
[3,5,4,2,6,1,8,7] => 0110101 => [1,2,1,1,1,1] => 345
[4,3,5,2,6,1,8,7] => 1010101 => [1,1,1,1,1,1,1] => 429
[3,4,5,2,6,1,8,7] => 0010101 => [2,1,1,1,1,1] => 297
[2,5,4,3,6,1,8,7] => 0110101 => [1,2,1,1,1,1] => 345
[2,4,5,3,6,1,8,7] => 0010101 => [2,1,1,1,1,1] => 297
[3,2,5,4,6,1,8,7] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,3,2,5,6,1,8,7] => 1100101 => [2,2,1,1,1] => 255
[3,4,2,5,6,1,8,7] => 0100101 => [1,1,2,1,1,1] => 359
[2,4,3,5,6,1,8,7] => 0100101 => [1,1,2,1,1,1] => 359
[2,3,4,5,6,1,8,7] => 0000101 => [4,1,1,1] => 75
[1,6,5,4,3,2,8,7] => 0111101 => [1,4,1,1] => 107
[1,5,6,4,3,2,8,7] => 0011101 => [2,3,1,1] => 171
[1,5,4,6,3,2,8,7] => 0101101 => [1,1,1,2,1,1] => 359
[1,3,6,5,4,2,8,7] => 0011101 => [2,3,1,1] => 171
[1,3,4,5,6,2,8,7] => 0000101 => [4,1,1,1] => 75
[2,1,6,5,4,3,8,7] => 1011101 => [1,1,3,1,1] => 233
[2,1,5,6,4,3,8,7] => 1001101 => [1,2,2,1,1] => 295
[2,1,4,6,5,3,8,7] => 1001101 => [1,2,2,1,1] => 295
[2,1,5,4,6,3,8,7] => 1010101 => [1,1,1,1,1,1,1] => 429
[2,1,4,5,6,3,8,7] => 1000101 => [1,3,1,1,1] => 219
[1,2,4,5,6,3,8,7] => 0000101 => [4,1,1,1] => 75
[3,2,1,6,5,4,8,7] => 1101101 => [2,1,2,1,1] => 252
[2,3,1,6,5,4,8,7] => 0101101 => [1,1,1,2,1,1] => 359
[1,3,2,6,5,4,8,7] => 0101101 => [1,1,1,2,1,1] => 359
[1,3,2,5,6,4,8,7] => 0100101 => [1,1,2,1,1,1] => 359
[2,1,3,5,6,4,8,7] => 1000101 => [1,3,1,1,1] => 219
[1,2,3,6,5,4,8,7] => 0001101 => [3,2,1,1] => 145
[1,2,3,5,6,4,8,7] => 0000101 => [4,1,1,1] => 75
[4,3,2,1,6,5,8,7] => 1110101 => [3,1,1,1,1] => 165
[3,4,2,1,6,5,8,7] => 0110101 => [1,2,1,1,1,1] => 345
[2,4,3,1,6,5,8,7] => 0110101 => [1,2,1,1,1,1] => 345
[3,2,4,1,6,5,8,7] => 1010101 => [1,1,1,1,1,1,1] => 429
[2,3,4,1,6,5,8,7] => 0010101 => [2,1,1,1,1,1] => 297
[1,3,4,2,6,5,8,7] => 0010101 => [2,1,1,1,1,1] => 297
[2,1,4,3,6,5,8,7] => 1010101 => [1,1,1,1,1,1,1] => 429
[1,2,4,3,6,5,8,7] => 0010101 => [2,1,1,1,1,1] => 297
[2,3,1,4,6,5,8,7] => 0100101 => [1,1,2,1,1,1] => 359
[1,3,2,4,6,5,8,7] => 0100101 => [1,1,2,1,1,1] => 359
[2,1,3,4,6,5,8,7] => 1000101 => [1,3,1,1,1] => 219
[1,2,3,4,6,5,8,7] => 0000101 => [4,1,1,1] => 75
[5,4,3,2,1,6,8,7] => 1111001 => [4,2,1] => 65
[4,5,3,2,1,6,8,7] => 0111001 => [1,3,2,1] => 185
[3,5,4,2,1,6,8,7] => 0111001 => [1,3,2,1] => 185
[4,3,5,2,1,6,8,7] => 1011001 => [1,1,2,2,1] => 295
[3,4,5,2,1,6,8,7] => 0011001 => [2,2,2,1] => 211
[2,5,4,3,1,6,8,7] => 0111001 => [1,3,2,1] => 185
[2,4,5,3,1,6,8,7] => 0011001 => [2,2,2,1] => 211
[3,2,5,4,1,6,8,7] => 1011001 => [1,1,2,2,1] => 295
[2,3,5,4,1,6,8,7] => 0011001 => [2,2,2,1] => 211
[2,4,3,5,1,6,8,7] => 0101001 => [1,1,1,1,2,1] => 345
[2,3,4,5,1,6,8,7] => 0001001 => [3,1,2,1] => 137
[1,4,5,3,2,6,8,7] => 0011001 => [2,2,2,1] => 211
[1,3,5,4,2,6,8,7] => 0011001 => [2,2,2,1] => 211
[1,3,4,5,2,6,8,7] => 0001001 => [3,1,2,1] => 137
[2,1,4,5,3,6,8,7] => 1001001 => [1,2,1,2,1] => 281
[1,2,5,4,3,6,8,7] => 0011001 => [2,2,2,1] => 211
[2,1,3,5,4,6,8,7] => 1001001 => [1,2,1,2,1] => 281
[1,2,3,5,4,6,8,7] => 0001001 => [3,1,2,1] => 137
[4,3,2,1,5,6,8,7] => 1110001 => [3,3,1] => 95
[3,2,4,1,5,6,8,7] => 1010001 => [1,1,1,3,1] => 219
[2,3,4,1,5,6,8,7] => 0010001 => [2,1,3,1] => 157
[1,4,3,2,5,6,8,7] => 0110001 => [1,2,3,1] => 185
[1,3,4,2,5,6,8,7] => 0010001 => [2,1,3,1] => 157
[2,1,4,3,5,6,8,7] => 1010001 => [1,1,1,3,1] => 219
[1,2,4,3,5,6,8,7] => 0010001 => [2,1,3,1] => 157
[3,2,1,4,5,6,8,7] => 1100001 => [2,4,1] => 81
[2,3,1,4,5,6,8,7] => 0100001 => [1,1,4,1] => 107
[1,3,2,4,5,6,8,7] => 0100001 => [1,1,4,1] => 107
[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] => 81
[5,4,7,6,3,2,1,8] => 1011110 => [1,1,4,1] => 107
[4,5,7,6,3,2,1,8] => 0011110 => [2,4,1] => 81
[4,6,5,7,3,2,1,8] => 0101110 => [1,1,1,3,1] => 219
[3,5,7,6,4,2,1,8] => 0011110 => [2,4,1] => 81
[3,5,6,7,4,2,1,8] => 0001110 => [3,3,1] => 95
[4,3,7,6,5,2,1,8] => 1011110 => [1,1,4,1] => 107
[3,4,7,6,5,2,1,8] => 0011110 => [2,4,1] => 81
[5,4,3,7,6,2,1,8] => 1101110 => [2,1,3,1] => 157
[4,5,3,7,6,2,1,8] => 0101110 => [1,1,1,3,1] => 219
[3,5,4,7,6,2,1,8] => 0101110 => [1,1,1,3,1] => 219
[4,3,5,7,6,2,1,8] => 1001110 => [1,2,3,1] => 185
[3,6,5,4,7,2,1,8] => 0110110 => [1,2,1,2,1] => 281
[3,5,6,4,7,2,1,8] => 0010110 => [2,1,1,2,1] => 241
[4,3,6,5,7,2,1,8] => 1010110 => [1,1,1,1,2,1] => 345
[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] => 81
[2,5,7,6,4,3,1,8] => 0011110 => [2,4,1] => 81
[2,5,6,7,4,3,1,8] => 0001110 => [3,3,1] => 95
[2,4,6,7,5,3,1,8] => 0001110 => [3,3,1] => 95
[2,5,4,7,6,3,1,8] => 0101110 => [1,1,1,3,1] => 219
[2,5,6,4,7,3,1,8] => 0010110 => [2,1,1,2,1] => 241
[2,5,4,6,7,3,1,8] => 0100110 => [1,1,2,2,1] => 295
[2,4,5,6,7,3,1,8] => 0000110 => [4,2,1] => 65
[3,2,7,6,5,4,1,8] => 1011110 => [1,1,4,1] => 107
[3,2,6,7,5,4,1,8] => 1001110 => [1,2,3,1] => 185
[3,2,5,7,6,4,1,8] => 1001110 => [1,2,3,1] => 185
[3,2,6,5,7,4,1,8] => 1010110 => [1,1,1,1,2,1] => 345
[3,2,5,6,7,4,1,8] => 1000110 => [1,3,2,1] => 185
[2,3,7,6,5,4,1,8] => 0011110 => [2,4,1] => 81
[2,3,6,7,5,4,1,8] => 0001110 => [3,3,1] => 95
[2,3,5,7,6,4,1,8] => 0001110 => [3,3,1] => 95
[2,3,6,5,7,4,1,8] => 0010110 => [2,1,1,2,1] => 241
[2,3,5,6,7,4,1,8] => 0000110 => [4,2,1] => 65
[4,3,2,6,7,5,1,8] => 1100110 => [2,2,2,1] => 211
[3,4,2,7,6,5,1,8] => 0101110 => [1,1,1,3,1] => 219
[3,4,2,6,7,5,1,8] => 0100110 => [1,1,2,2,1] => 295
[3,2,4,6,7,5,1,8] => 1000110 => [1,3,2,1] => 185
[2,3,4,7,6,5,1,8] => 0001110 => [3,3,1] => 95
[2,3,4,6,7,5,1,8] => 0000110 => [4,2,1] => 65
[5,4,3,2,7,6,1,8] => 1110110 => [3,1,2,1] => 137
[4,5,3,2,7,6,1,8] => 0110110 => [1,2,1,2,1] => 281
[3,5,4,2,7,6,1,8] => 0110110 => [1,2,1,2,1] => 281
[4,3,5,2,7,6,1,8] => 1010110 => [1,1,1,1,2,1] => 345
[3,4,5,2,7,6,1,8] => 0010110 => [2,1,1,2,1] => 241
[3,2,5,4,7,6,1,8] => 1010110 => [1,1,1,1,2,1] => 345
[4,3,2,5,7,6,1,8] => 1100110 => [2,2,2,1] => 211
[3,4,2,5,7,6,1,8] => 0100110 => [1,1,2,2,1] => 295
[2,3,4,5,7,6,1,8] => 0000110 => [4,2,1] => 65
[3,6,5,4,2,7,1,8] => 0111010 => [1,3,1,1,1] => 219
[3,5,6,4,2,7,1,8] => 0011010 => [2,2,1,1,1] => 255
[3,4,6,5,2,7,1,8] => 0011010 => [2,2,1,1,1] => 255
[3,5,4,6,2,7,1,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,5,4,6,3,7,1,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,2,6,5,4,7,1,8] => 1011010 => [1,1,2,1,1,1] => 359
[2,3,5,6,4,7,1,8] => 0001010 => [3,1,1,1,1] => 165
[4,3,2,6,5,7,1,8] => 1101010 => [2,1,1,1,1,1] => 297
[3,4,2,6,5,7,1,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,4,3,6,5,7,1,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,3,4,6,5,7,1,8] => 0001010 => [3,1,1,1,1] => 165
[3,5,4,2,6,7,1,8] => 0110010 => [1,2,2,1,1] => 295
[2,5,4,3,6,7,1,8] => 0110010 => [1,2,2,1,1] => 295
[2,4,5,3,6,7,1,8] => 0010010 => [2,1,2,1,1] => 252
[2,3,5,4,6,7,1,8] => 0010010 => [2,1,2,1,1] => 252
[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] => 81
[1,6,5,7,4,3,2,8] => 0101110 => [1,1,1,3,1] => 219
[1,5,6,7,4,3,2,8] => 0001110 => [3,3,1] => 95
[1,4,7,6,5,3,2,8] => 0011110 => [2,4,1] => 81
[1,4,6,7,5,3,2,8] => 0001110 => [3,3,1] => 95
[1,5,4,7,6,3,2,8] => 0101110 => [1,1,1,3,1] => 219
[1,5,6,4,7,3,2,8] => 0010110 => [2,1,1,2,1] => 241
[1,4,6,5,7,3,2,8] => 0010110 => [2,1,1,2,1] => 241
[1,5,4,6,7,3,2,8] => 0100110 => [1,1,2,2,1] => 295
[1,4,5,6,7,3,2,8] => 0000110 => [4,2,1] => 65
[1,3,7,6,5,4,2,8] => 0011110 => [2,4,1] => 81
[1,3,6,7,5,4,2,8] => 0001110 => [3,3,1] => 95
[1,3,5,7,6,4,2,8] => 0001110 => [3,3,1] => 95
[1,3,6,5,7,4,2,8] => 0010110 => [2,1,1,2,1] => 241
[1,3,5,6,7,4,2,8] => 0000110 => [4,2,1] => 65
[1,3,4,6,7,5,2,8] => 0000110 => [4,2,1] => 65
[1,3,5,4,7,6,2,8] => 0010110 => [2,1,1,2,1] => 241
[1,4,3,5,7,6,2,8] => 0100110 => [1,1,2,2,1] => 295
[1,3,4,5,7,6,2,8] => 0000110 => [4,2,1] => 65
[1,5,4,6,3,7,2,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,4,5,6,3,7,2,8] => 0001010 => [3,1,1,1,1] => 165
[1,3,6,5,4,7,2,8] => 0011010 => [2,2,1,1,1] => 255
[1,3,5,6,4,7,2,8] => 0001010 => [3,1,1,1,1] => 165
[1,4,3,6,5,7,2,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,3,4,6,5,7,2,8] => 0001010 => [3,1,1,1,1] => 165
[1,5,4,3,6,7,2,8] => 0110010 => [1,2,2,1,1] => 295
[1,4,5,3,6,7,2,8] => 0010010 => [2,1,2,1,1] => 252
[1,3,5,4,6,7,2,8] => 0010010 => [2,1,2,1,1] => 252
[1,3,4,5,6,7,2,8] => 0000010 => [5,1,1] => 27
[2,1,7,6,5,4,3,8] => 1011110 => [1,1,4,1] => 107
[2,1,6,7,5,4,3,8] => 1001110 => [1,2,3,1] => 185
[2,1,5,6,7,4,3,8] => 1000110 => [1,3,2,1] => 185
[2,1,4,6,7,5,3,8] => 1000110 => [1,3,2,1] => 185
[2,1,4,5,6,7,3,8] => 1000010 => [1,4,1,1] => 107
[1,2,7,6,5,4,3,8] => 0011110 => [2,4,1] => 81
[1,2,6,7,5,4,3,8] => 0001110 => [3,3,1] => 95
[1,2,5,7,6,4,3,8] => 0001110 => [3,3,1] => 95
[1,2,5,6,7,4,3,8] => 0000110 => [4,2,1] => 65
[1,2,4,6,7,5,3,8] => 0000110 => [4,2,1] => 65
[1,2,5,6,4,7,3,8] => 0001010 => [3,1,1,1,1] => 165
[1,2,5,4,6,7,3,8] => 0010010 => [2,1,2,1,1] => 252
[1,2,4,5,6,7,3,8] => 0000010 => [5,1,1] => 27
[3,2,1,7,6,5,4,8] => 1101110 => [2,1,3,1] => 157
[3,2,1,6,7,5,4,8] => 1100110 => [2,2,2,1] => 211
[3,2,1,5,7,6,4,8] => 1100110 => [2,2,2,1] => 211
[3,2,1,5,6,7,4,8] => 1100010 => [2,3,1,1] => 171
[2,3,1,6,7,5,4,8] => 0100110 => [1,1,2,2,1] => 295
[2,3,1,6,5,7,4,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,3,1,5,6,7,4,8] => 0100010 => [1,1,3,1,1] => 233
[1,3,2,7,6,5,4,8] => 0101110 => [1,1,1,3,1] => 219
[1,3,2,6,7,5,4,8] => 0100110 => [1,1,2,2,1] => 295
[1,3,2,5,7,6,4,8] => 0100110 => [1,1,2,2,1] => 295
[1,3,2,6,5,7,4,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,3,2,5,6,7,4,8] => 0100010 => [1,1,3,1,1] => 233
[2,1,3,6,7,5,4,8] => 1000110 => [1,3,2,1] => 185
[1,2,3,7,6,5,4,8] => 0001110 => [3,3,1] => 95
[1,2,3,6,7,5,4,8] => 0000110 => [4,2,1] => 65
[1,2,3,5,7,6,4,8] => 0000110 => [4,2,1] => 65
[1,2,3,6,5,7,4,8] => 0001010 => [3,1,1,1,1] => 165
[1,2,3,5,6,7,4,8] => 0000010 => [5,1,1] => 27
[4,3,2,1,7,6,5,8] => 1110110 => [3,1,2,1] => 137
[4,3,2,1,6,7,5,8] => 1110010 => [3,2,1,1] => 145
[3,2,4,1,7,6,5,8] => 1010110 => [1,1,1,1,2,1] => 345
[3,2,4,1,6,7,5,8] => 1010010 => [1,1,1,2,1,1] => 359
[2,3,4,1,7,6,5,8] => 0010110 => [2,1,1,2,1] => 241
[2,3,4,1,6,7,5,8] => 0010010 => [2,1,2,1,1] => 252
[1,4,3,2,7,6,5,8] => 0110110 => [1,2,1,2,1] => 281
[1,4,3,2,6,7,5,8] => 0110010 => [1,2,2,1,1] => 295
[1,3,4,2,6,7,5,8] => 0010010 => [2,1,2,1,1] => 252
[1,2,4,3,6,7,5,8] => 0010010 => [2,1,2,1,1] => 252
[3,2,1,4,7,6,5,8] => 1100110 => [2,2,2,1] => 211
[2,3,1,4,6,7,5,8] => 0100010 => [1,1,3,1,1] => 233
[1,3,2,4,7,6,5,8] => 0100110 => [1,1,2,2,1] => 295
[2,1,3,4,6,7,5,8] => 1000010 => [1,4,1,1] => 107
[1,2,3,4,7,6,5,8] => 0000110 => [4,2,1] => 65
[1,2,3,4,6,7,5,8] => 0000010 => [5,1,1] => 27
[5,4,3,2,1,7,6,8] => 1111010 => [4,1,1,1] => 75
[4,5,3,2,1,7,6,8] => 0111010 => [1,3,1,1,1] => 219
[3,5,4,2,1,7,6,8] => 0111010 => [1,3,1,1,1] => 219
[3,4,5,2,1,7,6,8] => 0011010 => [2,2,1,1,1] => 255
[2,5,4,3,1,7,6,8] => 0111010 => [1,3,1,1,1] => 219
[2,4,5,3,1,7,6,8] => 0011010 => [2,2,1,1,1] => 255
[3,2,5,4,1,7,6,8] => 1011010 => [1,1,2,1,1,1] => 359
[2,3,5,4,1,7,6,8] => 0011010 => [2,2,1,1,1] => 255
[3,4,2,5,1,7,6,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,4,3,5,1,7,6,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,3,4,5,1,7,6,8] => 0001010 => [3,1,1,1,1] => 165
[1,5,4,3,2,7,6,8] => 0111010 => [1,3,1,1,1] => 219
[1,4,5,3,2,7,6,8] => 0011010 => [2,2,1,1,1] => 255
[1,3,5,4,2,7,6,8] => 0011010 => [2,2,1,1,1] => 255
[1,4,3,5,2,7,6,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,3,4,5,2,7,6,8] => 0001010 => [3,1,1,1,1] => 165
[2,1,5,4,3,7,6,8] => 1011010 => [1,1,2,1,1,1] => 359
[1,2,4,5,3,7,6,8] => 0001010 => [3,1,1,1,1] => 165
[3,2,1,5,4,7,6,8] => 1101010 => [2,1,1,1,1,1] => 297
[2,3,1,5,4,7,6,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,3,2,5,4,7,6,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,2,3,5,4,7,6,8] => 0001010 => [3,1,1,1,1] => 165
[4,3,2,1,5,7,6,8] => 1110010 => [3,2,1,1] => 145
[3,2,4,1,5,7,6,8] => 1010010 => [1,1,1,2,1,1] => 359
[2,3,4,1,5,7,6,8] => 0010010 => [2,1,2,1,1] => 252
[1,4,3,2,5,7,6,8] => 0110010 => [1,2,2,1,1] => 295
[1,3,4,2,5,7,6,8] => 0010010 => [2,1,2,1,1] => 252
[1,2,4,3,5,7,6,8] => 0010010 => [2,1,2,1,1] => 252
[2,3,1,4,5,7,6,8] => 0100010 => [1,1,3,1,1] => 233
[1,3,2,4,5,7,6,8] => 0100010 => [1,1,3,1,1] => 233
[2,1,3,4,5,7,6,8] => 1000010 => [1,4,1,1] => 107
[1,2,3,4,5,7,6,8] => 0000010 => [5,1,1] => 27
[3,6,5,4,2,1,7,8] => 0111100 => [1,4,2] => 81
[4,3,6,5,2,1,7,8] => 1011100 => [1,1,3,2] => 171
[2,4,6,5,3,1,7,8] => 0011100 => [2,3,2] => 126
[2,4,5,6,3,1,7,8] => 0001100 => [3,2,2] => 105
[2,3,6,5,4,1,7,8] => 0011100 => [2,3,2] => 126
[2,3,5,6,4,1,7,8] => 0001100 => [3,2,2] => 105
[4,3,2,6,5,1,7,8] => 1101100 => [2,1,2,2] => 180
[2,4,3,6,5,1,7,8] => 0101100 => [1,1,1,2,2] => 255
[2,3,4,6,5,1,7,8] => 0001100 => [3,2,2] => 105
[3,5,4,2,6,1,7,8] => 0110100 => [1,2,1,1,2] => 241
[2,3,5,4,6,1,7,8] => 0010100 => [2,1,1,1,2] => 207
[1,6,5,4,3,2,7,8] => 0111100 => [1,4,2] => 81
[1,5,6,4,3,2,7,8] => 0011100 => [2,3,2] => 126
[1,4,6,5,3,2,7,8] => 0011100 => [2,3,2] => 126
[1,5,4,6,3,2,7,8] => 0101100 => [1,1,1,2,2] => 255
[1,4,5,6,3,2,7,8] => 0001100 => [3,2,2] => 105
[1,3,5,6,4,2,7,8] => 0001100 => [3,2,2] => 105
[1,4,3,6,5,2,7,8] => 0101100 => [1,1,1,2,2] => 255
[1,5,4,3,6,2,7,8] => 0110100 => [1,2,1,1,2] => 241
[1,4,5,3,6,2,7,8] => 0010100 => [2,1,1,1,2] => 207
[1,3,5,4,6,2,7,8] => 0010100 => [2,1,1,1,2] => 207
[1,4,3,5,6,2,7,8] => 0100100 => [1,1,2,1,2] => 252
[1,3,4,5,6,2,7,8] => 0000100 => [4,1,2] => 55
[2,1,5,6,4,3,7,8] => 1001100 => [1,2,2,2] => 211
[2,1,4,6,5,3,7,8] => 1001100 => [1,2,2,2] => 211
[1,2,6,5,4,3,7,8] => 0011100 => [2,3,2] => 126
[1,2,5,6,4,3,7,8] => 0001100 => [3,2,2] => 105
[1,2,4,6,5,3,7,8] => 0001100 => [3,2,2] => 105
[1,2,4,5,6,3,7,8] => 0000100 => [4,1,2] => 55
[3,2,1,6,5,4,7,8] => 1101100 => [2,1,2,2] => 180
[3,2,1,5,6,4,7,8] => 1100100 => [2,2,1,2] => 180
[2,3,1,6,5,4,7,8] => 0101100 => [1,1,1,2,2] => 255
[2,3,1,5,6,4,7,8] => 0100100 => [1,1,2,1,2] => 252
[1,3,2,6,5,4,7,8] => 0101100 => [1,1,1,2,2] => 255
[1,3,2,5,6,4,7,8] => 0100100 => [1,1,2,1,2] => 252
[1,2,3,6,5,4,7,8] => 0001100 => [3,2,2] => 105
[1,2,3,5,6,4,7,8] => 0000100 => [4,1,2] => 55
[4,3,2,1,6,5,7,8] => 1110100 => [3,1,1,2] => 117
[2,4,3,1,6,5,7,8] => 0110100 => [1,2,1,1,2] => 241
[3,2,4,1,6,5,7,8] => 1010100 => [1,1,1,1,1,2] => 297
[2,3,4,1,6,5,7,8] => 0010100 => [2,1,1,1,2] => 207
[2,1,4,3,6,5,7,8] => 1010100 => [1,1,1,1,1,2] => 297
[1,2,4,3,6,5,7,8] => 0010100 => [2,1,1,1,2] => 207
[1,3,2,4,6,5,7,8] => 0100100 => [1,1,2,1,2] => 252
[2,1,3,4,6,5,7,8] => 1000100 => [1,3,1,2] => 157
[1,2,3,4,6,5,7,8] => 0000100 => [4,1,2] => 55
[3,5,4,2,1,6,7,8] => 0111000 => [1,3,3] => 95
[2,5,4,3,1,6,7,8] => 0111000 => [1,3,3] => 95
[2,4,5,3,1,6,7,8] => 0011000 => [2,2,3] => 105
[3,2,5,4,1,6,7,8] => 1011000 => [1,1,2,3] => 145
[2,3,5,4,1,6,7,8] => 0011000 => [2,2,3] => 105
[2,4,3,5,1,6,7,8] => 0101000 => [1,1,1,1,3] => 165
[1,5,4,3,2,6,7,8] => 0111000 => [1,3,3] => 95
[1,4,5,3,2,6,7,8] => 0011000 => [2,2,3] => 105
[1,3,5,4,2,6,7,8] => 0011000 => [2,2,3] => 105
[1,3,4,5,2,6,7,8] => 0001000 => [3,1,3] => 69
[2,1,5,4,3,6,7,8] => 1011000 => [1,1,2,3] => 145
[2,1,4,5,3,6,7,8] => 1001000 => [1,2,1,3] => 137
[1,2,5,4,3,6,7,8] => 0011000 => [2,2,3] => 105
[3,2,1,5,4,6,7,8] => 1101000 => [2,1,1,3] => 117
[2,3,1,5,4,6,7,8] => 0101000 => [1,1,1,1,3] => 165
[1,3,2,5,4,6,7,8] => 0101000 => [1,1,1,1,3] => 165
[1,2,3,5,4,6,7,8] => 0001000 => [3,1,3] => 69
[2,4,3,1,5,6,7,8] => 0110000 => [1,2,4] => 65
[1,4,3,2,5,6,7,8] => 0110000 => [1,2,4] => 65
[1,3,4,2,5,6,7,8] => 0010000 => [2,1,4] => 55
[2,1,4,3,5,6,7,8] => 1010000 => [1,1,1,4] => 75
[1,2,4,3,5,6,7,8] => 0010000 => [2,1,4] => 55
[1,3,2,4,5,6,7,8] => 0100000 => [1,1,5] => 27
[1,2,3,4,8,6,7,5] => 0000101 => [4,1,1,1] => 75
[1,2,3,5,8,6,7,4] => 0000101 => [4,1,1,1] => 75
[1,2,3,7,5,6,4,8] => 0001010 => [3,1,1,1,1] => 165
[1,2,3,7,5,6,8,4] => 0001001 => [3,1,2,1] => 137
[1,2,3,8,5,6,7,4] => 0001001 => [3,1,2,1] => 137
[1,2,3,8,5,7,6,4] => 0001011 => [3,1,1,2] => 117
[1,2,3,8,6,5,7,4] => 0001101 => [3,2,1,1] => 145
[1,2,3,8,6,7,5,4] => 0001011 => [3,1,1,2] => 117
[1,2,4,5,8,6,7,3] => 0000101 => [4,1,1,1] => 75
[1,2,4,7,5,6,8,3] => 0001001 => [3,1,2,1] => 137
[1,2,4,8,5,6,7,3] => 0001001 => [3,1,2,1] => 137
[1,2,4,8,6,5,7,3] => 0001101 => [3,2,1,1] => 145
[1,2,5,4,8,6,7,3] => 0010101 => [2,1,1,1,1,1] => 297
[1,2,6,4,5,3,7,8] => 0010100 => [2,1,1,1,2] => 207
[1,2,6,4,5,7,8,3] => 0010001 => [2,1,3,1] => 157
[1,2,6,4,5,8,7,3] => 0010011 => [2,1,2,2] => 180
[1,2,7,4,5,6,8,3] => 0010001 => [2,1,3,1] => 157
[1,2,8,4,5,6,7,3] => 0010001 => [2,1,3,1] => 157
[1,2,8,4,6,7,5,3] => 0010011 => [2,1,2,2] => 180
[1,2,8,4,7,6,5,3] => 0010111 => [2,1,1,3] => 117
[1,2,7,5,4,6,3,8] => 0011010 => [2,2,1,1,1] => 255
[1,2,7,5,4,6,8,3] => 0011001 => [2,2,2,1] => 211
[1,2,8,5,4,6,7,3] => 0011001 => [2,2,2,1] => 211
[1,2,8,5,4,7,6,3] => 0011011 => [2,2,1,2] => 180
[1,2,8,5,6,4,7,3] => 0010101 => [2,1,1,1,1,1] => 297
[1,2,8,5,6,7,4,3] => 0010011 => [2,1,2,2] => 180
[1,2,8,6,5,4,7,3] => 0011101 => [2,3,1,1] => 171
[1,2,8,6,5,7,4,3] => 0011011 => [2,2,1,2] => 180
[1,2,8,7,5,6,4,3] => 0011011 => [2,2,1,2] => 180
[1,3,2,4,8,6,7,5] => 0100101 => [1,1,2,1,1,1] => 359
[1,3,2,7,5,6,8,4] => 0101001 => [1,1,1,1,2,1] => 345
[1,3,2,8,5,7,6,4] => 0101011 => [1,1,1,1,1,2] => 297
[1,3,2,8,6,5,7,4] => 0101101 => [1,1,1,2,1,1] => 359
[1,3,2,8,6,7,5,4] => 0101011 => [1,1,1,1,1,2] => 297
[1,3,4,2,8,6,7,5] => 0010101 => [2,1,1,1,1,1] => 297
[1,3,4,5,8,6,7,2] => 0000101 => [4,1,1,1] => 75
[1,3,4,8,5,6,7,2] => 0001001 => [3,1,2,1] => 137
[1,3,4,8,6,5,7,2] => 0001101 => [3,2,1,1] => 145
[1,3,4,8,6,7,5,2] => 0001011 => [3,1,1,2] => 117
[1,3,6,4,5,2,8,7] => 0010101 => [2,1,1,1,1,1] => 297
[1,3,6,4,5,7,2,8] => 0010010 => [2,1,2,1,1] => 252
[1,3,6,4,5,7,8,2] => 0010001 => [2,1,3,1] => 157
[1,3,6,4,5,8,7,2] => 0010011 => [2,1,2,2] => 180
[1,3,7,4,5,6,2,8] => 0010010 => [2,1,2,1,1] => 252
[1,3,7,4,5,6,8,2] => 0010001 => [2,1,3,1] => 157
[1,3,8,4,5,6,7,2] => 0010001 => [2,1,3,1] => 157
[1,3,8,4,6,5,7,2] => 0010101 => [2,1,1,1,1,1] => 297
[1,3,8,5,4,6,7,2] => 0011001 => [2,2,2,1] => 211
[1,3,8,5,4,7,6,2] => 0011011 => [2,2,1,2] => 180
[1,3,8,5,6,7,4,2] => 0010011 => [2,1,2,2] => 180
[1,3,8,5,7,6,4,2] => 0010111 => [2,1,1,3] => 117
[1,3,8,6,5,7,4,2] => 0011011 => [2,2,1,2] => 180
[1,3,8,7,5,6,4,2] => 0011011 => [2,2,1,2] => 180
[1,4,3,5,8,6,7,2] => 0100101 => [1,1,2,1,1,1] => 359
[1,4,3,8,5,6,7,2] => 0101001 => [1,1,1,1,2,1] => 345
[1,4,3,8,5,7,6,2] => 0101011 => [1,1,1,1,1,2] => 297
[1,4,3,8,6,5,7,2] => 0101101 => [1,1,1,2,1,1] => 359
[1,4,3,8,6,7,5,2] => 0101011 => [1,1,1,1,1,2] => 297
[1,5,3,4,2,6,7,8] => 0101000 => [1,1,1,1,3] => 165
[1,5,3,4,2,7,8,6] => 0101001 => [1,1,1,1,2,1] => 345
[1,5,3,4,2,8,7,6] => 0101011 => [1,1,1,1,1,2] => 297
[1,5,3,4,6,2,7,8] => 0100100 => [1,1,2,1,2] => 252
[1,5,3,4,6,2,8,7] => 0100101 => [1,1,2,1,1,1] => 359
[1,5,3,4,6,7,2,8] => 0100010 => [1,1,3,1,1] => 233
[1,5,3,4,6,7,8,2] => 0100001 => [1,1,4,1] => 107
[1,5,3,4,7,6,2,8] => 0100110 => [1,1,2,2,1] => 295
[1,5,3,4,8,6,7,2] => 0100101 => [1,1,2,1,1,1] => 359
[1,6,3,4,5,2,7,8] => 0100100 => [1,1,2,1,2] => 252
[1,6,3,4,5,8,7,2] => 0100011 => [1,1,3,2] => 171
[1,7,3,4,5,6,2,8] => 0100010 => [1,1,3,1,1] => 233
[1,7,3,4,5,6,8,2] => 0100001 => [1,1,4,1] => 107
[1,8,3,4,5,6,7,2] => 0100001 => [1,1,4,1] => 107
[1,8,3,4,6,7,5,2] => 0100011 => [1,1,3,2] => 171
[1,6,3,5,4,2,7,8] => 0101100 => [1,1,1,2,2] => 255
[1,6,3,5,4,8,7,2] => 0101011 => [1,1,1,1,1,2] => 297
[1,7,3,5,4,6,2,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,8,3,5,4,6,7,2] => 0101001 => [1,1,1,1,2,1] => 345
[1,8,3,5,4,7,6,2] => 0101011 => [1,1,1,1,1,2] => 297
[1,8,3,5,6,4,7,2] => 0100101 => [1,1,2,1,1,1] => 359
[1,8,3,5,6,7,4,2] => 0100011 => [1,1,3,2] => 171
[1,8,3,5,7,6,4,2] => 0100111 => [1,1,2,3] => 145
[1,7,3,6,5,4,2,8] => 0101110 => [1,1,1,3,1] => 219
[1,7,3,6,5,4,8,2] => 0101101 => [1,1,1,2,1,1] => 359
[1,8,3,6,5,4,7,2] => 0101101 => [1,1,1,2,1,1] => 359
[1,8,3,7,5,6,4,2] => 0101011 => [1,1,1,1,1,2] => 297
[1,8,3,7,6,5,4,2] => 0101111 => [1,1,1,4] => 75
[1,6,4,3,5,2,7,8] => 0110100 => [1,2,1,1,2] => 241
[1,6,4,3,5,8,7,2] => 0110011 => [1,2,2,2] => 211
[1,8,4,3,5,6,7,2] => 0110001 => [1,2,3,1] => 185
[1,8,4,3,5,7,6,2] => 0110011 => [1,2,2,2] => 211
[1,7,4,3,6,5,8,2] => 0110101 => [1,2,1,1,1,1] => 345
[1,8,4,3,6,5,7,2] => 0110101 => [1,2,1,1,1,1] => 345
[1,8,4,3,6,7,5,2] => 0110011 => [1,2,2,2] => 211
[1,6,4,5,3,2,7,8] => 0101100 => [1,1,1,2,2] => 255
[1,6,4,5,3,2,8,7] => 0101101 => [1,1,1,2,1,1] => 359
[1,6,4,5,3,8,7,2] => 0101011 => [1,1,1,1,1,2] => 297
[1,7,4,5,3,6,8,2] => 0101001 => [1,1,1,1,2,1] => 345
[1,8,4,5,3,6,7,2] => 0101001 => [1,1,1,1,2,1] => 345
[1,7,4,5,6,3,2,8] => 0100110 => [1,1,2,2,1] => 295
[1,7,4,5,6,3,8,2] => 0100101 => [1,1,2,1,1,1] => 359
[1,8,4,5,6,3,7,2] => 0100101 => [1,1,2,1,1,1] => 359
[1,8,4,5,6,7,3,2] => 0100011 => [1,1,3,2] => 171
[1,7,4,6,5,3,2,8] => 0101110 => [1,1,1,3,1] => 219
[1,8,4,6,5,3,7,2] => 0101101 => [1,1,1,2,1,1] => 359
[1,8,4,6,5,7,3,2] => 0101011 => [1,1,1,1,1,2] => 297
[1,8,4,7,6,5,3,2] => 0101111 => [1,1,1,4] => 75
[1,7,5,4,3,6,2,8] => 0111010 => [1,3,1,1,1] => 219
[1,7,5,4,3,6,8,2] => 0111001 => [1,3,2,1] => 185
[1,8,5,4,3,6,7,2] => 0111001 => [1,3,2,1] => 185
[1,8,5,4,3,7,6,2] => 0111011 => [1,3,1,2] => 157
[1,8,5,4,6,3,7,2] => 0110101 => [1,2,1,1,1,1] => 345
[1,8,5,4,6,7,3,2] => 0110011 => [1,2,2,2] => 211
[1,8,5,4,7,6,3,2] => 0110111 => [1,2,1,3] => 137
[1,7,6,4,5,3,2,8] => 0110110 => [1,2,1,2,1] => 281
[1,8,6,4,5,3,7,2] => 0110101 => [1,2,1,1,1,1] => 345
[1,8,6,4,5,7,3,2] => 0110011 => [1,2,2,2] => 211
[1,8,7,4,5,6,3,2] => 0110011 => [1,2,2,2] => 211
[1,8,7,4,6,5,3,2] => 0110111 => [1,2,1,3] => 137
[1,8,6,5,4,3,7,2] => 0111101 => [1,4,1,1] => 107
[1,8,6,5,4,7,3,2] => 0111011 => [1,3,1,2] => 157
[1,8,7,5,4,6,3,2] => 0111011 => [1,3,1,2] => 157
[1,8,7,5,6,4,3,2] => 0110111 => [1,2,1,3] => 137
[2,1,3,4,8,6,7,5] => 1000101 => [1,3,1,1,1] => 219
[2,1,3,5,8,6,7,4] => 1000101 => [1,3,1,1,1] => 219
[2,1,3,8,5,6,7,4] => 1001001 => [1,2,1,2,1] => 281
[2,1,3,8,5,7,6,4] => 1001011 => [1,2,1,1,2] => 241
[2,1,3,8,6,5,7,4] => 1001101 => [1,2,2,1,1] => 295
[2,1,3,8,6,7,5,4] => 1001011 => [1,2,1,1,2] => 241
[2,1,4,3,8,6,7,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[2,1,4,5,8,6,7,3] => 1000101 => [1,3,1,1,1] => 219
[2,1,4,8,5,6,7,3] => 1001001 => [1,2,1,2,1] => 281
[2,1,4,8,5,7,6,3] => 1001011 => [1,2,1,1,2] => 241
[2,1,4,8,6,5,7,3] => 1001101 => [1,2,2,1,1] => 295
[2,1,4,8,6,7,5,3] => 1001011 => [1,2,1,1,2] => 241
[2,1,5,4,8,6,7,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[2,1,6,4,5,3,8,7] => 1010101 => [1,1,1,1,1,1,1] => 429
[2,1,6,4,5,7,8,3] => 1010001 => [1,1,1,3,1] => 219
[2,1,6,4,5,8,7,3] => 1010011 => [1,1,1,2,2] => 255
[2,1,8,4,5,6,7,3] => 1010001 => [1,1,1,3,1] => 219
[2,1,8,4,5,7,6,3] => 1010011 => [1,1,1,2,2] => 255
[2,1,7,4,6,5,8,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[2,1,8,4,6,5,7,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[2,1,8,4,6,7,5,3] => 1010011 => [1,1,1,2,2] => 255
[2,1,8,4,7,6,5,3] => 1010111 => [1,1,1,1,3] => 165
[2,1,7,5,4,6,8,3] => 1011001 => [1,1,2,2,1] => 295
[2,1,8,5,4,6,7,3] => 1011001 => [1,1,2,2,1] => 295
[2,1,8,5,4,7,6,3] => 1011011 => [1,1,2,1,2] => 252
[2,1,7,5,6,4,8,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[2,1,8,5,6,4,7,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[2,1,8,5,6,7,4,3] => 1010011 => [1,1,1,2,2] => 255
[2,1,8,5,7,6,4,3] => 1010111 => [1,1,1,1,3] => 165
[2,1,8,6,5,4,7,3] => 1011101 => [1,1,3,1,1] => 233
[2,1,8,6,5,7,4,3] => 1011011 => [1,1,2,1,2] => 252
[2,1,8,7,5,6,4,3] => 1011011 => [1,1,2,1,2] => 252
[2,3,1,7,5,6,4,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,3,1,8,5,6,7,4] => 0101001 => [1,1,1,1,2,1] => 345
[2,3,1,8,6,7,5,4] => 0101011 => [1,1,1,1,1,2] => 297
[2,3,4,1,8,6,7,5] => 0010101 => [2,1,1,1,1,1] => 297
[2,3,4,5,8,6,7,1] => 0000101 => [4,1,1,1] => 75
[2,3,4,7,5,6,1,8] => 0001010 => [3,1,1,1,1] => 165
[2,3,4,7,5,6,8,1] => 0001001 => [3,1,2,1] => 137
[2,3,4,8,5,6,7,1] => 0001001 => [3,1,2,1] => 137
[2,3,4,8,5,7,6,1] => 0001011 => [3,1,1,2] => 117
[2,3,4,8,6,5,7,1] => 0001101 => [3,2,1,1] => 145
[2,3,4,8,6,7,5,1] => 0001011 => [3,1,1,2] => 117
[2,3,5,4,8,6,7,1] => 0010101 => [2,1,1,1,1,1] => 297
[2,3,6,4,5,1,7,8] => 0010100 => [2,1,1,1,2] => 207
[2,3,6,4,5,1,8,7] => 0010101 => [2,1,1,1,1,1] => 297
[2,3,6,4,5,7,8,1] => 0010001 => [2,1,3,1] => 157
[2,3,6,4,5,8,7,1] => 0010011 => [2,1,2,2] => 180
[2,3,7,4,5,6,8,1] => 0010001 => [2,1,3,1] => 157
[2,3,8,4,5,6,7,1] => 0010001 => [2,1,3,1] => 157
[2,3,7,4,6,5,8,1] => 0010101 => [2,1,1,1,1,1] => 297
[2,3,8,4,6,7,5,1] => 0010011 => [2,1,2,2] => 180
[2,3,7,5,4,6,1,8] => 0011010 => [2,2,1,1,1] => 255
[2,3,7,5,4,6,8,1] => 0011001 => [2,2,2,1] => 211
[2,3,8,5,4,6,7,1] => 0011001 => [2,2,2,1] => 211
[2,3,7,5,6,4,1,8] => 0010110 => [2,1,1,2,1] => 241
[2,3,7,5,6,4,8,1] => 0010101 => [2,1,1,1,1,1] => 297
[2,3,8,5,6,4,7,1] => 0010101 => [2,1,1,1,1,1] => 297
[2,3,8,5,6,7,4,1] => 0010011 => [2,1,2,2] => 180
[2,3,8,5,7,6,4,1] => 0010111 => [2,1,1,3] => 117
[2,3,8,6,5,4,7,1] => 0011101 => [2,3,1,1] => 171
[2,4,3,1,8,6,7,5] => 0110101 => [1,2,1,1,1,1] => 345
[2,4,3,5,8,6,7,1] => 0100101 => [1,1,2,1,1,1] => 359
[2,4,3,7,5,6,8,1] => 0101001 => [1,1,1,1,2,1] => 345
[2,4,3,8,5,6,7,1] => 0101001 => [1,1,1,1,2,1] => 345
[2,4,3,8,5,7,6,1] => 0101011 => [1,1,1,1,1,2] => 297
[2,4,3,8,6,5,7,1] => 0101101 => [1,1,1,2,1,1] => 359
[2,4,3,8,6,7,5,1] => 0101011 => [1,1,1,1,1,2] => 297
[2,5,3,4,1,6,7,8] => 0101000 => [1,1,1,1,3] => 165
[2,5,3,4,1,8,7,6] => 0101011 => [1,1,1,1,1,2] => 297
[2,5,3,4,6,7,1,8] => 0100010 => [1,1,3,1,1] => 233
[2,5,3,4,6,7,8,1] => 0100001 => [1,1,4,1] => 107
[2,5,3,4,6,8,7,1] => 0100011 => [1,1,3,2] => 171
[2,5,3,4,7,6,8,1] => 0100101 => [1,1,2,1,1,1] => 359
[2,5,3,4,8,6,7,1] => 0100101 => [1,1,2,1,1,1] => 359
[2,5,3,4,8,7,6,1] => 0100111 => [1,1,2,3] => 145
[2,6,3,4,5,1,7,8] => 0100100 => [1,1,2,1,2] => 252
[2,6,3,4,5,7,8,1] => 0100001 => [1,1,4,1] => 107
[2,6,3,4,5,8,7,1] => 0100011 => [1,1,3,2] => 171
[2,7,3,4,5,6,1,8] => 0100010 => [1,1,3,1,1] => 233
[2,8,3,4,5,6,7,1] => 0100001 => [1,1,4,1] => 107
[2,8,3,4,5,7,6,1] => 0100011 => [1,1,3,2] => 171
[2,6,3,5,4,1,7,8] => 0101100 => [1,1,1,2,2] => 255
[2,6,3,5,4,1,8,7] => 0101101 => [1,1,1,2,1,1] => 359
[2,6,3,5,4,7,8,1] => 0101001 => [1,1,1,1,2,1] => 345
[2,6,3,5,4,8,7,1] => 0101011 => [1,1,1,1,1,2] => 297
[2,7,3,5,4,6,8,1] => 0101001 => [1,1,1,1,2,1] => 345
[2,8,3,5,4,7,6,1] => 0101011 => [1,1,1,1,1,2] => 297
[2,7,3,5,6,4,8,1] => 0100101 => [1,1,2,1,1,1] => 359
[2,8,3,5,6,7,4,1] => 0100011 => [1,1,3,2] => 171
[2,8,3,5,7,6,4,1] => 0100111 => [1,1,2,3] => 145
[2,7,3,6,5,4,1,8] => 0101110 => [1,1,1,3,1] => 219
[2,8,3,7,5,6,4,1] => 0101011 => [1,1,1,1,1,2] => 297
[2,8,3,7,6,5,4,1] => 0101111 => [1,1,1,4] => 75
[2,5,4,3,8,6,7,1] => 0110101 => [1,2,1,1,1,1] => 345
[2,6,4,3,5,1,8,7] => 0110101 => [1,2,1,1,1,1] => 345
[2,6,4,3,5,7,8,1] => 0110001 => [1,2,3,1] => 185
[2,6,4,3,5,8,7,1] => 0110011 => [1,2,2,2] => 211
[2,7,4,3,5,6,8,1] => 0110001 => [1,2,3,1] => 185
[2,8,4,3,5,6,7,1] => 0110001 => [1,2,3,1] => 185
[2,8,4,3,5,7,6,1] => 0110011 => [1,2,2,2] => 211
[2,7,4,3,6,5,8,1] => 0110101 => [1,2,1,1,1,1] => 345
[2,8,4,3,6,5,7,1] => 0110101 => [1,2,1,1,1,1] => 345
[2,8,4,3,6,7,5,1] => 0110011 => [1,2,2,2] => 211
[2,8,4,3,7,6,5,1] => 0110111 => [1,2,1,3] => 137
[2,6,4,5,3,1,7,8] => 0101100 => [1,1,1,2,2] => 255
[2,6,4,5,3,1,8,7] => 0101101 => [1,1,1,2,1,1] => 359
[2,6,4,5,3,7,8,1] => 0101001 => [1,1,1,1,2,1] => 345
[2,6,4,5,3,8,7,1] => 0101011 => [1,1,1,1,1,2] => 297
[2,8,4,5,3,6,7,1] => 0101001 => [1,1,1,1,2,1] => 345
[2,7,4,5,6,3,1,8] => 0100110 => [1,1,2,2,1] => 295
[2,7,4,5,6,3,8,1] => 0100101 => [1,1,2,1,1,1] => 359
[2,8,4,5,6,3,7,1] => 0100101 => [1,1,2,1,1,1] => 359
[2,8,4,5,6,7,3,1] => 0100011 => [1,1,3,2] => 171
[2,7,4,6,5,3,1,8] => 0101110 => [1,1,1,3,1] => 219
[2,7,4,6,5,3,8,1] => 0101101 => [1,1,1,2,1,1] => 359
[2,8,4,6,5,3,7,1] => 0101101 => [1,1,1,2,1,1] => 359
[2,8,4,7,6,5,3,1] => 0101111 => [1,1,1,4] => 75
[2,7,5,4,3,6,8,1] => 0111001 => [1,3,2,1] => 185
[2,8,5,4,3,6,7,1] => 0111001 => [1,3,2,1] => 185
[2,8,5,4,3,7,6,1] => 0111011 => [1,3,1,2] => 157
[2,7,5,4,6,3,8,1] => 0110101 => [1,2,1,1,1,1] => 345
[2,8,5,4,6,7,3,1] => 0110011 => [1,2,2,2] => 211
[2,8,5,4,7,6,3,1] => 0110111 => [1,2,1,3] => 137
[2,7,6,4,5,3,8,1] => 0110101 => [1,2,1,1,1,1] => 345
[2,8,7,4,5,6,3,1] => 0110011 => [1,2,2,2] => 211
[2,8,7,4,6,5,3,1] => 0110111 => [1,2,1,3] => 137
[2,8,7,5,4,6,3,1] => 0111011 => [1,3,1,2] => 157
[2,8,7,5,6,4,3,1] => 0110111 => [1,2,1,3] => 137
[3,2,1,4,8,6,7,5] => 1100101 => [2,2,1,1,1] => 255
[3,2,1,5,8,6,7,4] => 1100101 => [2,2,1,1,1] => 255
[3,2,1,7,5,6,8,4] => 1101001 => [2,1,1,2,1] => 241
[3,2,1,8,5,6,7,4] => 1101001 => [2,1,1,2,1] => 241
[3,2,1,8,5,7,6,4] => 1101011 => [2,1,1,1,2] => 207
[3,2,1,8,6,5,7,4] => 1101101 => [2,1,2,1,1] => 252
[3,2,1,8,6,7,5,4] => 1101011 => [2,1,1,1,2] => 207
[3,2,4,1,8,6,7,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[3,2,4,5,8,6,7,1] => 1000101 => [1,3,1,1,1] => 219
[3,2,4,7,5,6,8,1] => 1001001 => [1,2,1,2,1] => 281
[3,2,4,8,5,6,7,1] => 1001001 => [1,2,1,2,1] => 281
[3,2,4,8,6,7,5,1] => 1001011 => [1,2,1,1,2] => 241
[3,2,5,4,8,6,7,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[3,2,6,4,5,1,8,7] => 1010101 => [1,1,1,1,1,1,1] => 429
[3,2,6,4,5,7,1,8] => 1010010 => [1,1,1,2,1,1] => 359
[3,2,7,4,5,6,1,8] => 1010010 => [1,1,1,2,1,1] => 359
[3,2,8,4,5,6,7,1] => 1010001 => [1,1,1,3,1] => 219
[3,2,7,4,6,5,1,8] => 1010110 => [1,1,1,1,2,1] => 345
[3,2,7,4,6,5,8,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[3,2,8,4,6,5,7,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[3,2,7,5,4,6,1,8] => 1011010 => [1,1,2,1,1,1] => 359
[3,2,8,5,4,6,7,1] => 1011001 => [1,1,2,2,1] => 295
[3,2,8,5,4,7,6,1] => 1011011 => [1,1,2,1,2] => 252
[3,2,7,5,6,4,1,8] => 1010110 => [1,1,1,1,2,1] => 345
[3,2,7,5,6,4,8,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[3,2,8,5,6,4,7,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[3,2,8,5,7,6,4,1] => 1010111 => [1,1,1,1,3] => 165
[3,2,8,6,5,7,4,1] => 1011011 => [1,1,2,1,2] => 252
[3,2,8,7,5,6,4,1] => 1011011 => [1,1,2,1,2] => 252
[4,2,3,1,5,7,6,8] => 1010010 => [1,1,1,2,1,1] => 359
[4,2,3,1,5,7,8,6] => 1010001 => [1,1,1,3,1] => 219
[4,2,3,1,6,5,8,7] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,2,3,1,6,7,8,5] => 1010001 => [1,1,1,3,1] => 219
[4,2,3,1,6,8,7,5] => 1010011 => [1,1,1,2,2] => 255
[4,2,3,1,7,6,8,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,2,3,1,8,6,7,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,2,3,1,8,7,6,5] => 1010111 => [1,1,1,1,3] => 165
[4,2,3,5,1,6,8,7] => 1001001 => [1,2,1,2,1] => 281
[4,2,3,5,1,7,8,6] => 1001001 => [1,2,1,2,1] => 281
[4,2,3,5,1,8,7,6] => 1001011 => [1,2,1,1,2] => 241
[4,2,3,5,6,1,8,7] => 1000101 => [1,3,1,1,1] => 219
[4,2,3,5,6,8,7,1] => 1000011 => [1,4,2] => 81
[4,2,3,5,7,6,1,8] => 1000110 => [1,3,2,1] => 185
[4,2,3,5,8,7,6,1] => 1000111 => [1,3,3] => 95
[4,2,3,6,5,1,7,8] => 1001100 => [1,2,2,2] => 211
[4,2,3,6,5,1,8,7] => 1001101 => [1,2,2,1,1] => 295
[4,2,3,6,5,8,7,1] => 1001011 => [1,2,1,1,2] => 241
[4,2,3,7,5,6,1,8] => 1001010 => [1,2,1,1,1,1] => 345
[4,2,3,7,5,6,8,1] => 1001001 => [1,2,1,2,1] => 281
[4,2,3,8,5,6,7,1] => 1001001 => [1,2,1,2,1] => 281
[4,2,3,8,5,7,6,1] => 1001011 => [1,2,1,1,2] => 241
[4,2,3,7,6,5,8,1] => 1001101 => [1,2,2,1,1] => 295
[4,2,3,8,6,7,5,1] => 1001011 => [1,2,1,1,2] => 241
[4,2,3,8,7,6,5,1] => 1001111 => [1,2,4] => 65
[5,2,3,4,1,6,8,7] => 1001001 => [1,2,1,2,1] => 281
[5,2,3,4,1,7,8,6] => 1001001 => [1,2,1,2,1] => 281
[5,2,3,4,1,8,7,6] => 1001011 => [1,2,1,1,2] => 241
[5,2,3,4,6,1,8,7] => 1000101 => [1,3,1,1,1] => 219
[5,2,3,4,7,6,1,8] => 1000110 => [1,3,2,1] => 185
[5,2,3,4,8,6,7,1] => 1000101 => [1,3,1,1,1] => 219
[5,2,3,4,8,7,6,1] => 1000111 => [1,3,3] => 95
[6,2,3,4,5,1,8,7] => 1000101 => [1,3,1,1,1] => 219
[6,2,3,4,5,8,7,1] => 1000011 => [1,4,2] => 81
[8,2,3,4,5,7,6,1] => 1000011 => [1,4,2] => 81
[7,2,3,4,6,5,1,8] => 1000110 => [1,3,2,1] => 185
[8,2,3,4,7,6,5,1] => 1000111 => [1,3,3] => 95
[6,2,3,5,4,1,7,8] => 1001100 => [1,2,2,2] => 211
[6,2,3,5,4,1,8,7] => 1001101 => [1,2,2,1,1] => 295
[6,2,3,5,4,7,1,8] => 1001010 => [1,2,1,1,1,1] => 345
[6,2,3,5,4,7,8,1] => 1001001 => [1,2,1,2,1] => 281
[7,2,3,5,4,6,1,8] => 1001010 => [1,2,1,1,1,1] => 345
[8,2,3,5,4,6,7,1] => 1001001 => [1,2,1,2,1] => 281
[8,2,3,5,4,7,6,1] => 1001011 => [1,2,1,1,2] => 241
[7,2,3,5,6,4,1,8] => 1000110 => [1,3,2,1] => 185
[8,2,3,5,6,7,4,1] => 1000011 => [1,4,2] => 81
[8,2,3,5,7,6,4,1] => 1000111 => [1,3,3] => 95
[7,2,3,6,5,4,1,8] => 1001110 => [1,2,3,1] => 185
[8,2,3,6,5,4,7,1] => 1001101 => [1,2,2,1,1] => 295
[8,2,3,7,5,6,4,1] => 1001011 => [1,2,1,1,2] => 241
[8,2,3,7,6,5,4,1] => 1001111 => [1,2,4] => 65
[5,2,4,3,1,6,7,8] => 1011000 => [1,1,2,3] => 145
[5,2,4,3,1,6,8,7] => 1011001 => [1,1,2,2,1] => 295
[5,2,4,3,1,7,6,8] => 1011010 => [1,1,2,1,1,1] => 359
[5,2,4,3,1,8,7,6] => 1011011 => [1,1,2,1,2] => 252
[5,2,4,3,6,1,7,8] => 1010100 => [1,1,1,1,1,2] => 297
[5,2,4,3,6,1,8,7] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,2,4,3,6,7,1,8] => 1010010 => [1,1,1,2,1,1] => 359
[5,2,4,3,7,6,1,8] => 1010110 => [1,1,1,1,2,1] => 345
[5,2,4,3,7,6,8,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,2,4,3,8,7,6,1] => 1010111 => [1,1,1,1,3] => 165
[6,2,4,3,5,1,8,7] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,2,4,3,6,5,1,8] => 1010110 => [1,1,1,1,2,1] => 345
[7,2,4,3,6,5,8,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,2,4,3,6,5,7,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,2,4,3,6,7,5,1] => 1010011 => [1,1,1,2,2] => 255
[8,2,4,3,7,6,5,1] => 1010111 => [1,1,1,1,3] => 165
[6,2,4,5,3,1,7,8] => 1001100 => [1,2,2,2] => 211
[6,2,4,5,3,1,8,7] => 1001101 => [1,2,2,1,1] => 295
[6,2,4,5,3,8,7,1] => 1001011 => [1,2,1,1,2] => 241
[7,2,4,5,3,6,1,8] => 1001010 => [1,2,1,1,1,1] => 345
[7,2,4,5,3,6,8,1] => 1001001 => [1,2,1,2,1] => 281
[8,2,4,5,3,7,6,1] => 1001011 => [1,2,1,1,2] => 241
[8,2,4,5,6,3,7,1] => 1000101 => [1,3,1,1,1] => 219
[8,2,4,5,6,7,3,1] => 1000011 => [1,4,2] => 81
[8,2,4,5,7,6,3,1] => 1000111 => [1,3,3] => 95
[7,2,4,6,5,3,1,8] => 1001110 => [1,2,3,1] => 185
[7,2,4,6,5,3,8,1] => 1001101 => [1,2,2,1,1] => 295
[8,2,4,7,5,6,3,1] => 1001011 => [1,2,1,1,2] => 241
[8,2,4,7,6,5,3,1] => 1001111 => [1,2,4] => 65
[6,2,5,4,3,1,7,8] => 1011100 => [1,1,3,2] => 171
[6,2,5,4,3,1,8,7] => 1011101 => [1,1,3,1,1] => 233
[6,2,5,4,3,7,1,8] => 1011010 => [1,1,2,1,1,1] => 359
[6,2,5,4,3,7,8,1] => 1011001 => [1,1,2,2,1] => 295
[7,2,5,4,3,6,1,8] => 1011010 => [1,1,2,1,1,1] => 359
[8,2,5,4,3,6,7,1] => 1011001 => [1,1,2,2,1] => 295
[8,2,5,4,3,7,6,1] => 1011011 => [1,1,2,1,2] => 252
[7,2,5,4,6,3,8,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,2,5,4,7,6,3,1] => 1010111 => [1,1,1,1,3] => 165
[7,2,6,4,5,3,1,8] => 1010110 => [1,1,1,1,2,1] => 345
[7,2,6,4,5,3,8,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,2,6,4,5,3,7,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,2,6,4,5,7,3,1] => 1010011 => [1,1,1,2,2] => 255
[8,2,7,4,5,6,3,1] => 1010011 => [1,1,1,2,2] => 255
[8,2,7,4,6,5,3,1] => 1010111 => [1,1,1,1,3] => 165
[7,2,6,5,4,3,1,8] => 1011110 => [1,1,4,1] => 107
[7,2,6,5,4,3,8,1] => 1011101 => [1,1,3,1,1] => 233
[8,2,6,5,4,3,7,1] => 1011101 => [1,1,3,1,1] => 233
[8,2,6,5,4,7,3,1] => 1011011 => [1,1,2,1,2] => 252
[8,2,7,5,4,6,3,1] => 1011011 => [1,1,2,1,2] => 252
[8,2,7,5,6,4,3,1] => 1010111 => [1,1,1,1,3] => 165
[8,2,7,6,5,4,3,1] => 1011111 => [1,1,5] => 27
[4,3,2,1,8,6,7,5] => 1110101 => [3,1,1,1,1] => 165
[4,3,2,7,5,6,8,1] => 1101001 => [2,1,1,2,1] => 241
[4,3,2,8,5,6,7,1] => 1101001 => [2,1,1,2,1] => 241
[4,3,2,8,5,7,6,1] => 1101011 => [2,1,1,1,2] => 207
[4,3,2,8,6,7,5,1] => 1101011 => [2,1,1,1,2] => 207
[5,3,2,4,1,6,8,7] => 1101001 => [2,1,1,2,1] => 241
[5,3,2,4,1,7,6,8] => 1101010 => [2,1,1,1,1,1] => 297
[5,3,2,4,1,8,7,6] => 1101011 => [2,1,1,1,2] => 207
[5,3,2,4,6,1,8,7] => 1100101 => [2,2,1,1,1] => 255
[5,3,2,4,7,6,1,8] => 1100110 => [2,2,2,1] => 211
[8,3,2,4,6,5,7,1] => 1100101 => [2,2,1,1,1] => 255
[8,3,2,4,6,7,5,1] => 1100011 => [2,3,2] => 126
[8,3,2,4,7,6,5,1] => 1100111 => [2,2,3] => 105
[6,3,2,5,4,1,7,8] => 1101100 => [2,1,2,2] => 180
[6,3,2,5,4,1,8,7] => 1101101 => [2,1,2,1,1] => 252
[6,3,2,5,4,7,1,8] => 1101010 => [2,1,1,1,1,1] => 297
[6,3,2,5,4,7,8,1] => 1101001 => [2,1,1,2,1] => 241
[6,3,2,5,4,8,7,1] => 1101011 => [2,1,1,1,2] => 207
[7,3,2,5,4,6,1,8] => 1101010 => [2,1,1,1,1,1] => 297
[8,3,2,5,4,7,6,1] => 1101011 => [2,1,1,1,2] => 207
[7,3,2,5,6,4,8,1] => 1100101 => [2,2,1,1,1] => 255
[8,3,2,5,6,4,7,1] => 1100101 => [2,2,1,1,1] => 255
[8,3,2,5,6,7,4,1] => 1100011 => [2,3,2] => 126
[8,3,2,5,7,6,4,1] => 1100111 => [2,2,3] => 105
[8,3,2,6,5,7,4,1] => 1101011 => [2,1,1,1,2] => 207
[8,3,2,7,5,6,4,1] => 1101011 => [2,1,1,1,2] => 207
[8,3,2,7,6,5,4,1] => 1101111 => [2,1,4] => 55
[5,3,4,2,1,6,8,7] => 1011001 => [1,1,2,2,1] => 295
[5,3,4,2,1,7,8,6] => 1011001 => [1,1,2,2,1] => 295
[5,3,4,2,1,8,7,6] => 1011011 => [1,1,2,1,2] => 252
[5,3,4,2,6,1,8,7] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,3,4,2,7,6,1,8] => 1010110 => [1,1,1,1,2,1] => 345
[5,3,4,2,7,6,8,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,3,4,2,8,6,7,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,3,4,2,5,1,8,7] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,3,4,2,6,5,1,8] => 1010110 => [1,1,1,1,2,1] => 345
[7,3,4,2,6,5,8,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,3,4,2,6,5,7,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,3,4,5,2,1,8,7] => 1001101 => [1,2,2,1,1] => 295
[6,3,4,5,2,8,7,1] => 1001011 => [1,2,1,1,2] => 241
[8,3,4,5,2,7,6,1] => 1001011 => [1,2,1,1,2] => 241
[8,3,4,5,7,6,2,1] => 1000111 => [1,3,3] => 95
[7,3,4,6,5,2,1,8] => 1001110 => [1,2,3,1] => 185
[8,3,4,7,6,5,2,1] => 1001111 => [1,2,4] => 65
[6,3,5,4,2,1,8,7] => 1011101 => [1,1,3,1,1] => 233
[6,3,5,4,2,7,1,8] => 1011010 => [1,1,2,1,1,1] => 359
[6,3,5,4,2,7,8,1] => 1011001 => [1,1,2,2,1] => 295
[6,3,5,4,2,8,7,1] => 1011011 => [1,1,2,1,2] => 252
[7,3,5,4,2,6,1,8] => 1011010 => [1,1,2,1,1,1] => 359
[8,3,5,4,2,6,7,1] => 1011001 => [1,1,2,2,1] => 295
[8,3,5,4,2,7,6,1] => 1011011 => [1,1,2,1,2] => 252
[7,3,5,4,6,2,1,8] => 1010110 => [1,1,1,1,2,1] => 345
[7,3,5,4,6,2,8,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,3,5,4,6,7,2,1] => 1010011 => [1,1,1,2,2] => 255
[8,3,5,4,7,6,2,1] => 1010111 => [1,1,1,1,3] => 165
[7,3,6,4,5,2,1,8] => 1010110 => [1,1,1,1,2,1] => 345
[7,3,6,4,5,2,8,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,3,6,4,5,2,7,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,3,6,4,5,7,2,1] => 1010011 => [1,1,1,2,2] => 255
[8,3,7,4,5,6,2,1] => 1010011 => [1,1,1,2,2] => 255
[8,3,7,4,6,5,2,1] => 1010111 => [1,1,1,1,3] => 165
[7,3,6,5,4,2,1,8] => 1011110 => [1,1,4,1] => 107
[7,3,6,5,4,2,8,1] => 1011101 => [1,1,3,1,1] => 233
[8,3,6,5,4,2,7,1] => 1011101 => [1,1,3,1,1] => 233
[8,3,6,5,4,7,2,1] => 1011011 => [1,1,2,1,2] => 252
[8,3,7,5,4,6,2,1] => 1011011 => [1,1,2,1,2] => 252
[8,3,7,5,6,4,2,1] => 1010111 => [1,1,1,1,3] => 165
[8,3,7,6,5,4,2,1] => 1011111 => [1,1,5] => 27
[5,4,3,2,8,6,7,1] => 1110101 => [3,1,1,1,1] => 165
[6,4,3,2,5,1,8,7] => 1110101 => [3,1,1,1,1] => 165
[6,4,3,2,5,8,7,1] => 1110011 => [3,2,2] => 105
[8,4,3,2,5,7,6,1] => 1110011 => [3,2,2] => 105
[7,4,3,2,6,5,1,8] => 1110110 => [3,1,2,1] => 137
[7,4,3,2,6,5,8,1] => 1110101 => [3,1,1,1,1] => 165
[8,4,3,2,6,5,7,1] => 1110101 => [3,1,1,1,1] => 165
[8,4,3,2,6,7,5,1] => 1110011 => [3,2,2] => 105
[8,4,3,2,7,6,5,1] => 1110111 => [3,1,3] => 69
[6,4,3,5,2,1,8,7] => 1101101 => [2,1,2,1,1] => 252
[8,4,3,5,2,7,6,1] => 1101011 => [2,1,1,1,2] => 207
[8,4,3,5,7,6,2,1] => 1100111 => [2,2,3] => 105
[7,4,3,6,5,2,1,8] => 1101110 => [2,1,3,1] => 157
[7,4,3,6,5,2,8,1] => 1101101 => [2,1,2,1,1] => 252
[8,4,3,7,5,6,2,1] => 1101011 => [2,1,1,1,2] => 207
[8,4,3,7,6,5,2,1] => 1101111 => [2,1,4] => 55
[6,5,3,4,2,1,8,7] => 1101101 => [2,1,2,1,1] => 252
[8,5,3,4,2,7,6,1] => 1101011 => [2,1,1,1,2] => 207
[8,5,3,4,7,6,2,1] => 1100111 => [2,2,3] => 105
[8,7,3,4,6,5,2,1] => 1100111 => [2,2,3] => 105
[7,6,3,5,4,2,1,8] => 1101110 => [2,1,3,1] => 157
[7,6,3,5,4,2,8,1] => 1101101 => [2,1,2,1,1] => 252
[8,6,3,5,4,2,7,1] => 1101101 => [2,1,2,1,1] => 252
[8,6,3,5,4,7,2,1] => 1101011 => [2,1,1,1,2] => 207
[8,7,3,5,4,6,2,1] => 1101011 => [2,1,1,1,2] => 207
[8,7,3,5,6,4,2,1] => 1100111 => [2,2,3] => 105
[8,7,3,6,5,4,2,1] => 1101111 => [2,1,4] => 55
[8,5,4,3,2,7,6,1] => 1111011 => [4,1,2] => 55
[8,5,4,3,7,6,2,1] => 1110111 => [3,1,3] => 69
[8,7,4,3,6,5,2,1] => 1110111 => [3,1,3] => 69
[8,7,4,6,5,3,2,1] => 1101111 => [2,1,4] => 55
[2,4,1,3,6,5,8,7] => 0100101 => [1,1,2,1,1,1] => 359
[2,1,4,6,3,5,8,7] => 1001001 => [1,2,1,2,1] => 281
[2,4,1,6,3,5,8,7] => 0101001 => [1,1,1,1,2,1] => 345
[2,4,6,1,3,5,8,7] => 0010001 => [2,1,3,1] => 157
[2,1,4,3,6,8,5,7] => 1010010 => [1,1,1,2,1,1] => 359
[2,4,1,3,6,8,5,7] => 0100010 => [1,1,3,1,1] => 233
[2,1,4,6,3,8,5,7] => 1001010 => [1,2,1,1,1,1] => 345
[2,4,1,6,3,8,5,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,4,6,1,3,8,5,7] => 0010010 => [2,1,2,1,1] => 252
[2,1,4,6,8,3,5,7] => 1000100 => [1,3,1,2] => 157
[2,4,1,6,8,3,5,7] => 0100100 => [1,1,2,1,2] => 252
[2,4,6,1,8,3,5,7] => 0010100 => [2,1,1,1,2] => 207
[2,4,6,8,1,3,5,7] => 0001000 => [3,1,3] => 69
[2,4,1,3,6,5,7,8] => 0100100 => [1,1,2,1,2] => 252
[2,1,4,6,3,5,7,8] => 1001000 => [1,2,1,3] => 137
[2,4,1,6,3,5,7,8] => 0101000 => [1,1,1,1,3] => 165
[2,4,6,1,3,5,7,8] => 0010000 => [2,1,4] => 55
[2,1,4,6,3,7,5,8] => 1001010 => [1,2,1,1,1,1] => 345
[2,4,1,6,3,7,5,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,4,6,1,3,7,5,8] => 0010010 => [2,1,2,1,1] => 252
[2,4,6,7,1,3,5,8] => 0001000 => [3,1,3] => 69
[2,4,1,3,6,7,8,5] => 0100001 => [1,1,4,1] => 107
[2,1,4,6,3,7,8,5] => 1001001 => [1,2,1,2,1] => 281
[2,4,1,6,3,7,8,5] => 0101001 => [1,1,1,1,2,1] => 345
[2,4,6,1,3,7,8,5] => 0010001 => [2,1,3,1] => 157
[2,1,4,6,7,3,8,5] => 1000101 => [1,3,1,1,1] => 219
[2,4,1,6,7,3,8,5] => 0100101 => [1,1,2,1,1,1] => 359
[2,4,6,1,7,3,8,5] => 0010101 => [2,1,1,1,1,1] => 297
[2,4,6,7,1,3,8,5] => 0001001 => [3,1,2,1] => 137
[2,1,4,6,7,8,3,5] => 1000010 => [1,4,1,1] => 107
[2,4,1,6,7,8,3,5] => 0100010 => [1,1,3,1,1] => 233
[2,4,6,1,7,8,3,5] => 0010010 => [2,1,2,1,1] => 252
[2,4,6,7,1,8,3,5] => 0001010 => [3,1,1,1,1] => 165
[2,4,6,7,8,1,3,5] => 0000100 => [4,1,2] => 55
[2,1,4,3,7,5,8,6] => 1010101 => [1,1,1,1,1,1,1] => 429
[2,4,1,3,7,5,8,6] => 0100101 => [1,1,2,1,1,1] => 359
[2,1,4,7,3,5,8,6] => 1001001 => [1,2,1,2,1] => 281
[2,4,1,7,3,5,8,6] => 0101001 => [1,1,1,1,2,1] => 345
[2,4,7,1,3,5,8,6] => 0010001 => [2,1,3,1] => 157
[2,1,4,3,7,8,5,6] => 1010010 => [1,1,1,2,1,1] => 359
[2,4,1,3,7,8,5,6] => 0100010 => [1,1,3,1,1] => 233
[2,4,1,7,3,8,5,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,1,4,7,8,3,5,6] => 1000100 => [1,3,1,2] => 157
[2,4,1,7,8,3,5,6] => 0100100 => [1,1,2,1,2] => 252
[2,4,7,1,8,3,5,6] => 0010100 => [2,1,1,1,2] => 207
[2,4,7,8,1,3,5,6] => 0001000 => [3,1,3] => 69
[2,4,1,5,3,7,6,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,4,5,1,3,7,6,8] => 0010010 => [2,1,2,1,1] => 252
[2,4,5,1,7,3,6,8] => 0010100 => [2,1,1,1,2] => 207
[2,4,1,3,5,7,8,6] => 0100001 => [1,1,4,1] => 107
[2,4,1,5,3,7,8,6] => 0101001 => [1,1,1,1,2,1] => 345
[2,4,5,1,3,7,8,6] => 0010001 => [2,1,3,1] => 157
[2,1,4,5,7,3,8,6] => 1000101 => [1,3,1,1,1] => 219
[2,4,1,5,7,3,8,6] => 0100101 => [1,1,2,1,1,1] => 359
[2,4,5,1,7,3,8,6] => 0010101 => [2,1,1,1,1,1] => 297
[2,4,5,7,1,3,8,6] => 0001001 => [3,1,2,1] => 137
[2,1,4,5,7,8,3,6] => 1000010 => [1,4,1,1] => 107
[2,4,5,1,7,8,3,6] => 0010010 => [2,1,2,1,1] => 252
[2,4,5,7,1,8,3,6] => 0001010 => [3,1,1,1,1] => 165
[2,4,5,7,8,1,3,6] => 0000100 => [4,1,2] => 55
[2,1,4,3,8,5,6,7] => 1010100 => [1,1,1,1,1,2] => 297
[2,4,1,3,8,5,6,7] => 0100100 => [1,1,2,1,2] => 252
[2,1,4,8,3,5,6,7] => 1001000 => [1,2,1,3] => 137
[2,4,1,8,3,5,6,7] => 0101000 => [1,1,1,1,3] => 165
[2,4,8,1,3,5,6,7] => 0010000 => [2,1,4] => 55
[2,1,4,3,5,8,6,7] => 1010010 => [1,1,1,2,1,1] => 359
[2,4,1,5,3,8,6,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,1,4,5,8,3,6,7] => 1000100 => [1,3,1,2] => 157
[2,4,1,5,8,3,6,7] => 0100100 => [1,1,2,1,2] => 252
[2,4,5,1,8,3,6,7] => 0010100 => [2,1,1,1,2] => 207
[2,4,5,8,1,3,6,7] => 0001000 => [3,1,3] => 69
[2,4,1,5,3,6,8,7] => 0101001 => [1,1,1,1,2,1] => 345
[2,4,1,5,6,3,8,7] => 0100101 => [1,1,2,1,1,1] => 359
[2,4,5,1,6,3,8,7] => 0010101 => [2,1,1,1,1,1] => 297
[2,4,5,6,1,3,8,7] => 0001001 => [3,1,2,1] => 137
[2,1,4,5,6,8,3,7] => 1000010 => [1,4,1,1] => 107
[2,4,1,5,6,8,3,7] => 0100010 => [1,1,3,1,1] => 233
[2,4,5,1,6,8,3,7] => 0010010 => [2,1,2,1,1] => 252
[2,4,5,6,1,8,3,7] => 0001010 => [3,1,1,1,1] => 165
[2,4,5,6,8,1,3,7] => 0000100 => [4,1,2] => 55
[2,4,1,3,5,6,7,8] => 0100000 => [1,1,5] => 27
[2,4,1,5,3,6,7,8] => 0101000 => [1,1,1,1,3] => 165
[2,4,5,1,3,6,7,8] => 0010000 => [2,1,4] => 55
[2,4,1,5,6,3,7,8] => 0100100 => [1,1,2,1,2] => 252
[2,4,5,1,6,3,7,8] => 0010100 => [2,1,1,1,2] => 207
[2,4,5,6,1,3,7,8] => 0001000 => [3,1,3] => 69
[2,4,1,5,6,7,3,8] => 0100010 => [1,1,3,1,1] => 233
[2,4,5,6,1,7,3,8] => 0001010 => [3,1,1,1,1] => 165
[2,4,5,6,7,1,3,8] => 0000100 => [4,1,2] => 55
[2,4,1,5,6,7,8,3] => 0100001 => [1,1,4,1] => 107
[2,4,5,1,6,7,8,3] => 0010001 => [2,1,3,1] => 157
[2,4,5,6,1,7,8,3] => 0001001 => [3,1,2,1] => 137
[2,4,5,6,7,1,8,3] => 0000101 => [4,1,1,1] => 75
[2,4,5,6,7,8,1,3] => 0000010 => [5,1,1] => 27
[2,1,5,3,6,4,8,7] => 1010101 => [1,1,1,1,1,1,1] => 429
[2,5,1,3,6,4,8,7] => 0100101 => [1,1,2,1,1,1] => 359
[2,1,5,6,3,4,8,7] => 1001001 => [1,2,1,2,1] => 281
[2,5,1,6,3,4,8,7] => 0101001 => [1,1,1,1,2,1] => 345
[2,5,6,1,3,4,8,7] => 0010001 => [2,1,3,1] => 157
[2,1,5,3,6,8,4,7] => 1010010 => [1,1,1,2,1,1] => 359
[2,5,1,3,6,8,4,7] => 0100010 => [1,1,3,1,1] => 233
[2,5,1,6,3,8,4,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,5,6,1,3,8,4,7] => 0010010 => [2,1,2,1,1] => 252
[2,1,5,6,8,3,4,7] => 1000100 => [1,3,1,2] => 157
[2,5,1,6,8,3,4,7] => 0100100 => [1,1,2,1,2] => 252
[2,5,6,8,1,3,4,7] => 0001000 => [3,1,3] => 69
[2,5,1,3,6,4,7,8] => 0100100 => [1,1,2,1,2] => 252
[2,1,5,6,3,4,7,8] => 1001000 => [1,2,1,3] => 137
[2,5,1,6,3,4,7,8] => 0101000 => [1,1,1,1,3] => 165
[2,1,5,3,6,7,4,8] => 1010010 => [1,1,1,2,1,1] => 359
[2,1,5,6,3,7,4,8] => 1001010 => [1,2,1,1,1,1] => 345
[2,5,1,6,3,7,4,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,5,6,1,3,7,4,8] => 0010010 => [2,1,2,1,1] => 252
[2,1,5,6,7,3,4,8] => 1000100 => [1,3,1,2] => 157
[2,5,1,6,7,3,4,8] => 0100100 => [1,1,2,1,2] => 252
[2,5,6,1,7,3,4,8] => 0010100 => [2,1,1,1,2] => 207
[2,1,5,3,6,7,8,4] => 1010001 => [1,1,1,3,1] => 219
[2,5,1,3,6,7,8,4] => 0100001 => [1,1,4,1] => 107
[2,1,5,6,3,7,8,4] => 1001001 => [1,2,1,2,1] => 281
[2,5,1,6,3,7,8,4] => 0101001 => [1,1,1,1,2,1] => 345
[2,5,6,1,3,7,8,4] => 0010001 => [2,1,3,1] => 157
[2,1,5,6,7,3,8,4] => 1000101 => [1,3,1,1,1] => 219
[2,5,1,6,7,3,8,4] => 0100101 => [1,1,2,1,1,1] => 359
[2,5,6,7,1,3,8,4] => 0001001 => [3,1,2,1] => 137
[2,1,5,6,7,8,3,4] => 1000010 => [1,4,1,1] => 107
[2,5,1,6,7,8,3,4] => 0100010 => [1,1,3,1,1] => 233
[2,5,6,1,7,8,3,4] => 0010010 => [2,1,2,1,1] => 252
[2,5,6,7,1,8,3,4] => 0001010 => [3,1,1,1,1] => 165
[2,5,6,7,8,1,3,4] => 0000100 => [4,1,2] => 55
[2,1,5,3,7,4,8,6] => 1010101 => [1,1,1,1,1,1,1] => 429
[2,5,1,3,7,4,8,6] => 0100101 => [1,1,2,1,1,1] => 359
[2,1,5,7,3,4,8,6] => 1001001 => [1,2,1,2,1] => 281
[2,5,1,7,3,4,8,6] => 0101001 => [1,1,1,1,2,1] => 345
[2,5,7,1,3,4,8,6] => 0010001 => [2,1,3,1] => 157
[2,1,5,3,7,8,4,6] => 1010010 => [1,1,1,2,1,1] => 359
[2,5,1,3,7,8,4,6] => 0100010 => [1,1,3,1,1] => 233
[2,1,5,7,3,8,4,6] => 1001010 => [1,2,1,1,1,1] => 345
[2,1,5,7,8,3,4,6] => 1000100 => [1,3,1,2] => 157
[2,5,1,7,8,3,4,6] => 0100100 => [1,1,2,1,2] => 252
[2,5,7,1,8,3,4,6] => 0010100 => [2,1,1,1,2] => 207
[2,5,7,8,1,3,4,6] => 0001000 => [3,1,3] => 69
[2,5,1,3,7,4,6,8] => 0100100 => [1,1,2,1,2] => 252
[2,1,5,7,3,4,6,8] => 1001000 => [1,2,1,3] => 137
[2,3,5,1,4,7,6,8] => 0010010 => [2,1,2,1,1] => 252
[2,3,5,7,1,4,6,8] => 0001000 => [3,1,3] => 69
[2,3,5,1,7,4,8,6] => 0010101 => [2,1,1,1,1,1] => 297
[2,3,5,7,1,4,8,6] => 0001001 => [3,1,2,1] => 137
[2,3,1,5,7,8,4,6] => 0100010 => [1,1,3,1,1] => 233
[2,3,5,7,1,8,4,6] => 0001010 => [3,1,1,1,1] => 165
[2,3,5,7,8,1,4,6] => 0000100 => [4,1,2] => 55
[2,1,5,3,8,4,6,7] => 1010100 => [1,1,1,1,1,2] => 297
[2,5,1,3,8,4,6,7] => 0100100 => [1,1,2,1,2] => 252
[2,1,5,8,3,4,6,7] => 1001000 => [1,2,1,3] => 137
[2,5,1,8,3,4,6,7] => 0101000 => [1,1,1,1,3] => 165
[2,5,8,1,3,4,6,7] => 0010000 => [2,1,4] => 55
[2,3,5,1,4,8,6,7] => 0010010 => [2,1,2,1,1] => 252
[2,1,3,5,8,4,6,7] => 1000100 => [1,3,1,2] => 157
[2,3,5,1,8,4,6,7] => 0010100 => [2,1,1,1,2] => 207
[2,3,5,8,1,4,6,7] => 0001000 => [3,1,3] => 69
[2,1,5,3,4,6,8,7] => 1010001 => [1,1,1,3,1] => 219
[2,3,5,1,6,4,8,7] => 0010101 => [2,1,1,1,1,1] => 297
[2,3,5,6,1,4,8,7] => 0001001 => [3,1,2,1] => 137
[2,3,1,5,6,8,4,7] => 0100010 => [1,1,3,1,1] => 233
[2,3,5,1,6,8,4,7] => 0010010 => [2,1,2,1,1] => 252
[2,3,5,6,1,8,4,7] => 0001010 => [3,1,1,1,1] => 165
[2,3,5,6,8,1,4,7] => 0000100 => [4,1,2] => 55
[2,1,5,3,4,6,7,8] => 1010000 => [1,1,1,4] => 75
[2,5,1,3,4,6,7,8] => 0100000 => [1,1,5] => 27
[2,3,5,1,4,6,7,8] => 0010000 => [2,1,4] => 55
[2,3,5,1,6,4,7,8] => 0010100 => [2,1,1,1,2] => 207
[2,3,5,6,1,4,7,8] => 0001000 => [3,1,3] => 69
[2,3,5,6,1,7,4,8] => 0001010 => [3,1,1,1,1] => 165
[2,3,5,6,7,1,4,8] => 0000100 => [4,1,2] => 55
[2,3,5,1,6,7,8,4] => 0010001 => [2,1,3,1] => 157
[2,3,5,6,1,7,8,4] => 0001001 => [3,1,2,1] => 137
[2,3,5,6,7,1,8,4] => 0000101 => [4,1,1,1] => 75
[2,3,5,6,7,8,1,4] => 0000010 => [5,1,1] => 27
[2,1,6,3,7,4,8,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[2,6,1,3,7,4,8,5] => 0100101 => [1,1,2,1,1,1] => 359
[2,1,6,7,3,4,8,5] => 1001001 => [1,2,1,2,1] => 281
[2,6,1,7,3,4,8,5] => 0101001 => [1,1,1,1,2,1] => 345
[2,6,7,1,3,4,8,5] => 0010001 => [2,1,3,1] => 157
[2,1,6,3,7,8,4,5] => 1010010 => [1,1,1,2,1,1] => 359
[2,6,1,3,7,8,4,5] => 0100010 => [1,1,3,1,1] => 233
[2,1,6,7,3,8,4,5] => 1001010 => [1,2,1,1,1,1] => 345
[2,6,1,7,3,8,4,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,1,6,7,8,3,4,5] => 1000100 => [1,3,1,2] => 157
[2,6,1,7,8,3,4,5] => 0100100 => [1,1,2,1,2] => 252
[2,6,7,1,8,3,4,5] => 0010100 => [2,1,1,1,2] => 207
[2,6,7,8,1,3,4,5] => 0001000 => [3,1,3] => 69
[2,1,6,3,7,4,5,8] => 1010100 => [1,1,1,1,1,2] => 297
[2,6,1,7,3,4,5,8] => 0101000 => [1,1,1,1,3] => 165
[2,6,7,1,3,4,5,8] => 0010000 => [2,1,4] => 55
[2,6,1,3,4,7,5,8] => 0100010 => [1,1,3,1,1] => 233
[2,3,1,6,4,7,5,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,3,6,1,4,7,5,8] => 0010010 => [2,1,2,1,1] => 252
[2,3,6,7,1,4,5,8] => 0001000 => [3,1,3] => 69
[2,1,6,3,4,7,8,5] => 1010001 => [1,1,1,3,1] => 219
[2,6,1,3,4,7,8,5] => 0100001 => [1,1,4,1] => 107
[2,3,6,1,4,7,8,5] => 0010001 => [2,1,3,1] => 157
[2,1,3,6,7,4,8,5] => 1000101 => [1,3,1,1,1] => 219
[2,3,6,7,1,4,8,5] => 0001001 => [3,1,2,1] => 137
[2,1,3,6,7,8,4,5] => 1000010 => [1,4,1,1] => 107
[2,3,1,6,7,8,4,5] => 0100010 => [1,1,3,1,1] => 233
[2,3,6,1,7,8,4,5] => 0010010 => [2,1,2,1,1] => 252
[2,3,6,7,1,8,4,5] => 0001010 => [3,1,1,1,1] => 165
[2,3,6,7,8,1,4,5] => 0000100 => [4,1,2] => 55
[2,1,6,3,8,4,5,7] => 1010100 => [1,1,1,1,1,2] => 297
[2,6,1,3,8,4,5,7] => 0100100 => [1,1,2,1,2] => 252
[2,1,6,8,3,4,5,7] => 1001000 => [1,2,1,3] => 137
[2,6,1,8,3,4,5,7] => 0101000 => [1,1,1,1,3] => 165
[2,6,8,1,3,4,5,7] => 0010000 => [2,1,4] => 55
[2,1,6,3,4,8,5,7] => 1010010 => [1,1,1,2,1,1] => 359
[2,6,1,3,4,8,5,7] => 0100010 => [1,1,3,1,1] => 233
[2,3,1,6,4,8,5,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,3,6,1,4,8,5,7] => 0010010 => [2,1,2,1,1] => 252
[2,3,1,6,8,4,5,7] => 0100100 => [1,1,2,1,2] => 252
[2,3,6,1,8,4,5,7] => 0010100 => [2,1,1,1,2] => 207
[2,3,6,8,1,4,5,7] => 0001000 => [3,1,3] => 69
[2,1,6,3,4,5,8,7] => 1010001 => [1,1,1,3,1] => 219
[2,6,1,3,4,5,8,7] => 0100001 => [1,1,4,1] => 107
[2,1,3,6,4,5,8,7] => 1001001 => [1,2,1,2,1] => 281
[2,3,6,1,4,5,8,7] => 0010001 => [2,1,3,1] => 157
[2,3,4,1,6,8,5,7] => 0010010 => [2,1,2,1,1] => 252
[2,3,4,6,1,8,5,7] => 0001010 => [3,1,1,1,1] => 165
[2,3,4,6,8,1,5,7] => 0000100 => [4,1,2] => 55
[2,6,1,3,4,5,7,8] => 0100000 => [1,1,5] => 27
[2,1,3,6,4,5,7,8] => 1001000 => [1,2,1,3] => 137
[2,3,1,6,4,5,7,8] => 0101000 => [1,1,1,1,3] => 165
[2,3,6,1,4,5,7,8] => 0010000 => [2,1,4] => 55
[2,3,4,6,1,5,7,8] => 0001000 => [3,1,3] => 69
[2,3,4,6,1,7,5,8] => 0001010 => [3,1,1,1,1] => 165
[2,3,4,6,7,1,5,8] => 0000100 => [4,1,2] => 55
[2,3,4,6,1,7,8,5] => 0001001 => [3,1,2,1] => 137
[2,3,4,6,7,8,1,5] => 0000010 => [5,1,1] => 27
[2,1,7,3,8,4,5,6] => 1010100 => [1,1,1,1,1,2] => 297
[2,7,1,3,8,4,5,6] => 0100100 => [1,1,2,1,2] => 252
[2,1,7,8,3,4,5,6] => 1001000 => [1,2,1,3] => 137
[2,7,1,8,3,4,5,6] => 0101000 => [1,1,1,1,3] => 165
[2,7,8,1,3,4,5,6] => 0010000 => [2,1,4] => 55
[2,1,7,3,4,8,5,6] => 1010010 => [1,1,1,2,1,1] => 359
[2,7,1,3,4,8,5,6] => 0100010 => [1,1,3,1,1] => 233
[2,1,3,7,4,8,5,6] => 1001010 => [1,2,1,1,1,1] => 345
[2,3,1,7,4,8,5,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,3,7,1,4,8,5,6] => 0010010 => [2,1,2,1,1] => 252
[2,1,3,7,8,4,5,6] => 1000100 => [1,3,1,2] => 157
[2,3,1,7,8,4,5,6] => 0100100 => [1,1,2,1,2] => 252
[2,3,7,8,1,4,5,6] => 0001000 => [3,1,3] => 69
[2,1,7,3,4,5,8,6] => 1010001 => [1,1,1,3,1] => 219
[2,7,1,3,4,5,8,6] => 0100001 => [1,1,4,1] => 107
[2,3,1,7,4,5,8,6] => 0101001 => [1,1,1,1,2,1] => 345
[2,3,7,1,4,5,8,6] => 0010001 => [2,1,3,1] => 157
[2,1,3,4,7,5,8,6] => 1000101 => [1,3,1,1,1] => 219
[2,3,4,1,7,5,8,6] => 0010101 => [2,1,1,1,1,1] => 297
[2,3,4,7,1,5,8,6] => 0001001 => [3,1,2,1] => 137
[2,1,3,4,7,8,5,6] => 1000010 => [1,4,1,1] => 107
[2,3,1,4,7,8,5,6] => 0100010 => [1,1,3,1,1] => 233
[2,3,4,1,7,8,5,6] => 0010010 => [2,1,2,1,1] => 252
[2,3,4,7,1,8,5,6] => 0001010 => [3,1,1,1,1] => 165
[2,3,4,7,8,1,5,6] => 0000100 => [4,1,2] => 55
[2,1,7,3,4,5,6,8] => 1010000 => [1,1,1,4] => 75
[2,7,1,3,4,5,6,8] => 0100000 => [1,1,5] => 27
[2,3,7,1,4,5,6,8] => 0010000 => [2,1,4] => 55
[2,1,3,4,7,5,6,8] => 1000100 => [1,3,1,2] => 157
[2,3,1,4,7,5,6,8] => 0100100 => [1,1,2,1,2] => 252
[2,3,4,1,7,5,6,8] => 0010100 => [2,1,1,1,2] => 207
[2,3,4,7,1,5,6,8] => 0001000 => [3,1,3] => 69
[2,3,4,5,7,1,6,8] => 0000100 => [4,1,2] => 55
[2,3,4,5,7,1,8,6] => 0000101 => [4,1,1,1] => 75
[2,3,4,5,7,8,1,6] => 0000010 => [5,1,1] => 27
[2,1,8,3,4,5,6,7] => 1010000 => [1,1,1,4] => 75
[2,8,1,3,4,5,6,7] => 0100000 => [1,1,5] => 27
[2,1,3,8,4,5,6,7] => 1001000 => [1,2,1,3] => 137
[2,3,1,8,4,5,6,7] => 0101000 => [1,1,1,1,3] => 165
[2,3,8,1,4,5,6,7] => 0010000 => [2,1,4] => 55
[2,1,3,4,8,5,6,7] => 1000100 => [1,3,1,2] => 157
[2,3,1,4,8,5,6,7] => 0100100 => [1,1,2,1,2] => 252
[2,3,4,1,8,5,6,7] => 0010100 => [2,1,1,1,2] => 207
[2,3,4,8,1,5,6,7] => 0001000 => [3,1,3] => 69
[2,1,3,4,5,8,6,7] => 1000010 => [1,4,1,1] => 107
[2,3,1,4,5,8,6,7] => 0100010 => [1,1,3,1,1] => 233
[2,3,4,1,5,8,6,7] => 0010010 => [2,1,2,1,1] => 252
[2,3,4,5,1,8,6,7] => 0001010 => [3,1,1,1,1] => 165
[2,3,4,5,8,1,6,7] => 0000100 => [4,1,2] => 55
[2,3,4,5,6,8,1,7] => 0000010 => [5,1,1] => 27
[3,1,4,2,6,5,8,7] => 1010101 => [1,1,1,1,1,1,1] => 429
[3,4,1,2,6,5,8,7] => 0100101 => [1,1,2,1,1,1] => 359
[3,1,4,6,2,5,8,7] => 1001001 => [1,2,1,2,1] => 281
[3,4,1,6,2,5,8,7] => 0101001 => [1,1,1,1,2,1] => 345
[3,4,6,1,2,5,8,7] => 0010001 => [2,1,3,1] => 157
[3,1,4,2,6,8,5,7] => 1010010 => [1,1,1,2,1,1] => 359
[3,4,1,2,6,8,5,7] => 0100010 => [1,1,3,1,1] => 233
[3,1,4,6,2,8,5,7] => 1001010 => [1,2,1,1,1,1] => 345
[3,4,1,6,2,8,5,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,1,4,6,8,2,5,7] => 1000100 => [1,3,1,2] => 157
[3,4,1,6,8,2,5,7] => 0100100 => [1,1,2,1,2] => 252
[3,4,6,8,1,2,5,7] => 0001000 => [3,1,3] => 69
[3,1,4,2,6,5,7,8] => 1010100 => [1,1,1,1,1,2] => 297
[3,4,1,2,6,5,7,8] => 0100100 => [1,1,2,1,2] => 252
[3,1,4,2,6,7,5,8] => 1010010 => [1,1,1,2,1,1] => 359
[3,4,1,2,6,7,5,8] => 0100010 => [1,1,3,1,1] => 233
[3,4,1,6,2,7,5,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,4,6,1,2,7,5,8] => 0010010 => [2,1,2,1,1] => 252
[3,4,1,6,7,2,5,8] => 0100100 => [1,1,2,1,2] => 252
[3,4,6,7,1,2,5,8] => 0001000 => [3,1,3] => 69
[3,1,4,2,6,7,8,5] => 1010001 => [1,1,1,3,1] => 219
[3,4,1,2,6,7,8,5] => 0100001 => [1,1,4,1] => 107
[3,1,4,6,2,7,8,5] => 1001001 => [1,2,1,2,1] => 281
[3,4,1,6,2,7,8,5] => 0101001 => [1,1,1,1,2,1] => 345
[3,4,6,1,2,7,8,5] => 0010001 => [2,1,3,1] => 157
[3,1,4,6,7,2,8,5] => 1000101 => [1,3,1,1,1] => 219
[3,4,1,6,7,2,8,5] => 0100101 => [1,1,2,1,1,1] => 359
[3,4,6,1,7,2,8,5] => 0010101 => [2,1,1,1,1,1] => 297
[3,4,6,7,1,2,8,5] => 0001001 => [3,1,2,1] => 137
[3,1,4,6,7,8,2,5] => 1000010 => [1,4,1,1] => 107
[3,4,1,6,7,8,2,5] => 0100010 => [1,1,3,1,1] => 233
[3,4,6,1,7,8,2,5] => 0010010 => [2,1,2,1,1] => 252
[3,4,6,7,1,8,2,5] => 0001010 => [3,1,1,1,1] => 165
[3,4,6,7,8,1,2,5] => 0000100 => [4,1,2] => 55
[3,1,4,2,7,5,8,6] => 1010101 => [1,1,1,1,1,1,1] => 429
[3,4,1,2,7,5,8,6] => 0100101 => [1,1,2,1,1,1] => 359
[3,1,4,7,2,5,8,6] => 1001001 => [1,2,1,2,1] => 281
[3,4,1,7,2,5,8,6] => 0101001 => [1,1,1,1,2,1] => 345
[3,4,7,1,2,5,8,6] => 0010001 => [2,1,3,1] => 157
[3,1,4,2,7,8,5,6] => 1010010 => [1,1,1,2,1,1] => 359
[3,4,1,2,7,8,5,6] => 0100010 => [1,1,3,1,1] => 233
[3,1,4,7,2,8,5,6] => 1001010 => [1,2,1,1,1,1] => 345
[3,4,7,1,8,2,5,6] => 0010100 => [2,1,1,1,2] => 207
[3,4,7,8,1,2,5,6] => 0001000 => [3,1,3] => 69
[3,1,4,2,7,5,6,8] => 1010100 => [1,1,1,1,1,2] => 297
[3,4,1,2,7,5,6,8] => 0100100 => [1,1,2,1,2] => 252
[3,4,1,2,5,7,6,8] => 0100010 => [1,1,3,1,1] => 233
[3,1,4,5,2,7,6,8] => 1001010 => [1,2,1,1,1,1] => 345
[3,4,1,5,2,7,6,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,4,1,5,7,2,6,8] => 0100100 => [1,1,2,1,2] => 252
[3,4,5,7,1,2,6,8] => 0001000 => [3,1,3] => 69
[3,1,4,2,5,7,8,6] => 1010001 => [1,1,1,3,1] => 219
[3,4,1,2,5,7,8,6] => 0100001 => [1,1,4,1] => 107
[3,1,4,5,2,7,8,6] => 1001001 => [1,2,1,2,1] => 281
[3,4,5,1,2,7,8,6] => 0010001 => [2,1,3,1] => 157
[3,1,4,5,7,2,8,6] => 1000101 => [1,3,1,1,1] => 219
[3,4,1,5,7,2,8,6] => 0100101 => [1,1,2,1,1,1] => 359
[3,4,5,7,1,2,8,6] => 0001001 => [3,1,2,1] => 137
[3,1,4,5,7,8,2,6] => 1000010 => [1,4,1,1] => 107
[3,4,1,5,7,8,2,6] => 0100010 => [1,1,3,1,1] => 233
[3,4,5,1,7,8,2,6] => 0010010 => [2,1,2,1,1] => 252
[3,4,5,7,1,8,2,6] => 0001010 => [3,1,1,1,1] => 165
[3,4,5,7,8,1,2,6] => 0000100 => [4,1,2] => 55
[3,1,4,2,8,5,6,7] => 1010100 => [1,1,1,1,1,2] => 297
[3,4,1,2,8,5,6,7] => 0100100 => [1,1,2,1,2] => 252
[3,1,4,8,2,5,6,7] => 1001000 => [1,2,1,3] => 137
[3,4,1,8,2,5,6,7] => 0101000 => [1,1,1,1,3] => 165
[3,4,8,1,2,5,6,7] => 0010000 => [2,1,4] => 55
[3,1,4,2,5,8,6,7] => 1010010 => [1,1,1,2,1,1] => 359
[3,4,1,2,5,8,6,7] => 0100010 => [1,1,3,1,1] => 233
[3,4,1,5,2,8,6,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,4,5,1,2,8,6,7] => 0010010 => [2,1,2,1,1] => 252
[3,1,4,5,8,2,6,7] => 1000100 => [1,3,1,2] => 157
[3,4,1,5,8,2,6,7] => 0100100 => [1,1,2,1,2] => 252
[3,4,5,8,1,2,6,7] => 0001000 => [3,1,3] => 69
[3,4,1,2,5,6,8,7] => 0100001 => [1,1,4,1] => 107
[3,4,5,1,2,6,8,7] => 0010001 => [2,1,3,1] => 157
[3,1,4,5,6,2,8,7] => 1000101 => [1,3,1,1,1] => 219
[3,4,1,5,6,2,8,7] => 0100101 => [1,1,2,1,1,1] => 359
[3,4,5,1,6,2,8,7] => 0010101 => [2,1,1,1,1,1] => 297
[3,4,5,6,1,2,8,7] => 0001001 => [3,1,2,1] => 137
[3,1,4,5,6,8,2,7] => 1000010 => [1,4,1,1] => 107
[3,4,1,5,6,8,2,7] => 0100010 => [1,1,3,1,1] => 233
[3,4,5,6,1,8,2,7] => 0001010 => [3,1,1,1,1] => 165
[3,4,5,6,8,1,2,7] => 0000100 => [4,1,2] => 55
[3,1,4,2,5,6,7,8] => 1010000 => [1,1,1,4] => 75
[3,1,4,5,2,6,7,8] => 1001000 => [1,2,1,3] => 137
[3,4,1,5,2,6,7,8] => 0101000 => [1,1,1,1,3] => 165
[3,1,4,5,6,2,7,8] => 1000100 => [1,3,1,2] => 157
[3,4,1,5,6,2,7,8] => 0100100 => [1,1,2,1,2] => 252
[3,4,5,1,6,2,7,8] => 0010100 => [2,1,1,1,2] => 207
[3,1,4,5,6,7,2,8] => 1000010 => [1,4,1,1] => 107
[3,4,1,5,6,7,2,8] => 0100010 => [1,1,3,1,1] => 233
[3,4,5,1,6,7,2,8] => 0010010 => [2,1,2,1,1] => 252
[3,4,5,6,1,7,2,8] => 0001010 => [3,1,1,1,1] => 165
[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] => 107
[3,4,5,1,6,7,8,2] => 0010001 => [2,1,3,1] => 157
[3,4,5,6,1,7,8,2] => 0001001 => [3,1,2,1] => 137
[3,4,5,6,7,1,8,2] => 0000101 => [4,1,1,1] => 75
[3,1,5,2,6,4,8,7] => 1010101 => [1,1,1,1,1,1,1] => 429
[3,5,1,2,6,4,8,7] => 0100101 => [1,1,2,1,1,1] => 359
[3,1,5,6,2,4,8,7] => 1001001 => [1,2,1,2,1] => 281
[3,5,1,6,2,4,8,7] => 0101001 => [1,1,1,1,2,1] => 345
[3,5,6,1,2,4,8,7] => 0010001 => [2,1,3,1] => 157
[3,1,5,2,6,8,4,7] => 1010010 => [1,1,1,2,1,1] => 359
[3,5,1,2,6,8,4,7] => 0100010 => [1,1,3,1,1] => 233
[3,1,5,6,2,8,4,7] => 1001010 => [1,2,1,1,1,1] => 345
[3,5,6,1,2,8,4,7] => 0010010 => [2,1,2,1,1] => 252
[3,1,5,6,8,2,4,7] => 1000100 => [1,3,1,2] => 157
[3,5,1,6,8,2,4,7] => 0100100 => [1,1,2,1,2] => 252
[3,5,6,1,8,2,4,7] => 0010100 => [2,1,1,1,2] => 207
[3,5,6,8,1,2,4,7] => 0001000 => [3,1,3] => 69
[3,1,5,6,2,4,7,8] => 1001000 => [1,2,1,3] => 137
[3,5,1,6,2,4,7,8] => 0101000 => [1,1,1,1,3] => 165
[3,5,6,1,2,4,7,8] => 0010000 => [2,1,4] => 55
[3,5,1,2,6,7,4,8] => 0100010 => [1,1,3,1,1] => 233
[3,5,1,6,2,7,4,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,5,6,1,2,7,4,8] => 0010010 => [2,1,2,1,1] => 252
[3,5,1,6,7,2,4,8] => 0100100 => [1,1,2,1,2] => 252
[3,5,6,1,7,2,4,8] => 0010100 => [2,1,1,1,2] => 207
[3,5,6,7,1,2,4,8] => 0001000 => [3,1,3] => 69
[3,1,5,2,6,7,8,4] => 1010001 => [1,1,1,3,1] => 219
[3,5,1,2,6,7,8,4] => 0100001 => [1,1,4,1] => 107
[3,1,5,6,2,7,8,4] => 1001001 => [1,2,1,2,1] => 281
[3,5,1,6,2,7,8,4] => 0101001 => [1,1,1,1,2,1] => 345
[3,5,6,1,2,7,8,4] => 0010001 => [2,1,3,1] => 157
[3,1,5,6,7,2,8,4] => 1000101 => [1,3,1,1,1] => 219
[3,5,1,6,7,2,8,4] => 0100101 => [1,1,2,1,1,1] => 359
[3,5,6,1,7,2,8,4] => 0010101 => [2,1,1,1,1,1] => 297
[3,5,6,7,1,2,8,4] => 0001001 => [3,1,2,1] => 137
[3,1,5,6,7,8,2,4] => 1000010 => [1,4,1,1] => 107
[3,5,1,6,7,8,2,4] => 0100010 => [1,1,3,1,1] => 233
[3,5,6,1,7,8,2,4] => 0010010 => [2,1,2,1,1] => 252
[3,5,6,7,1,8,2,4] => 0001010 => [3,1,1,1,1] => 165
[3,5,6,7,8,1,2,4] => 0000100 => [4,1,2] => 55
[3,1,5,2,7,4,8,6] => 1010101 => [1,1,1,1,1,1,1] => 429
[3,5,1,2,7,4,8,6] => 0100101 => [1,1,2,1,1,1] => 359
[3,1,5,7,2,4,8,6] => 1001001 => [1,2,1,2,1] => 281
[3,5,1,7,2,4,8,6] => 0101001 => [1,1,1,1,2,1] => 345
[3,5,7,1,2,4,8,6] => 0010001 => [2,1,3,1] => 157
[3,1,5,2,7,8,4,6] => 1010010 => [1,1,1,2,1,1] => 359
[3,5,1,2,7,8,4,6] => 0100010 => [1,1,3,1,1] => 233
[3,1,5,7,2,8,4,6] => 1001010 => [1,2,1,1,1,1] => 345
[3,5,1,7,2,8,4,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,1,5,7,8,2,4,6] => 1000100 => [1,3,1,2] => 157
[3,5,1,7,8,2,4,6] => 0100100 => [1,1,2,1,2] => 252
[3,5,7,8,1,2,4,6] => 0001000 => [3,1,3] => 69
[3,1,5,2,7,4,6,8] => 1010100 => [1,1,1,1,1,2] => 297
[3,5,1,2,7,4,6,8] => 0100100 => [1,1,2,1,2] => 252
[3,1,5,7,2,4,6,8] => 1001000 => [1,2,1,3] => 137
[3,5,1,7,2,4,6,8] => 0101000 => [1,1,1,1,3] => 165
[3,5,7,1,2,4,6,8] => 0010000 => [2,1,4] => 55
[3,1,5,2,4,7,6,8] => 1010010 => [1,1,1,2,1,1] => 359
[3,5,1,2,4,7,6,8] => 0100010 => [1,1,3,1,1] => 233
[3,1,2,5,4,7,6,8] => 1001010 => [1,2,1,1,1,1] => 345
[1,3,5,2,4,7,6,8] => 0010010 => [2,1,2,1,1] => 252
[3,1,2,5,7,4,6,8] => 1000100 => [1,3,1,2] => 157
[1,3,2,5,7,4,6,8] => 0100100 => [1,1,2,1,2] => 252
[1,3,5,2,7,4,6,8] => 0010100 => [2,1,1,1,2] => 207
[1,3,5,7,2,4,6,8] => 0001000 => [3,1,3] => 69
[3,1,5,2,4,7,8,6] => 1010001 => [1,1,1,3,1] => 219
[3,5,1,2,4,7,8,6] => 0100001 => [1,1,4,1] => 107
[1,3,5,2,4,7,8,6] => 0010001 => [2,1,3,1] => 157
[3,1,2,5,7,4,8,6] => 1000101 => [1,3,1,1,1] => 219
[1,3,2,5,7,4,8,6] => 0100101 => [1,1,2,1,1,1] => 359
[1,3,5,2,7,4,8,6] => 0010101 => [2,1,1,1,1,1] => 297
[1,3,5,7,2,4,8,6] => 0001001 => [3,1,2,1] => 137
[3,1,2,5,7,8,4,6] => 1000010 => [1,4,1,1] => 107
[1,3,2,5,7,8,4,6] => 0100010 => [1,1,3,1,1] => 233
[1,3,5,2,7,8,4,6] => 0010010 => [2,1,2,1,1] => 252
[1,3,5,7,2,8,4,6] => 0001010 => [3,1,1,1,1] => 165
[1,3,5,7,8,2,4,6] => 0000100 => [4,1,2] => 55
[3,1,5,2,8,4,6,7] => 1010100 => [1,1,1,1,1,2] => 297
[3,5,1,2,8,4,6,7] => 0100100 => [1,1,2,1,2] => 252
[3,1,5,8,2,4,6,7] => 1001000 => [1,2,1,3] => 137
[3,5,1,8,2,4,6,7] => 0101000 => [1,1,1,1,3] => 165
[3,1,5,2,4,8,6,7] => 1010010 => [1,1,1,2,1,1] => 359
[3,5,1,2,4,8,6,7] => 0100010 => [1,1,3,1,1] => 233
[1,3,2,5,4,8,6,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,3,5,2,4,8,6,7] => 0010010 => [2,1,2,1,1] => 252
[3,1,2,5,8,4,6,7] => 1000100 => [1,3,1,2] => 157
[1,3,2,5,8,4,6,7] => 0100100 => [1,1,2,1,2] => 252
[1,3,5,2,8,4,6,7] => 0010100 => [2,1,1,1,2] => 207
[1,3,5,8,2,4,6,7] => 0001000 => [3,1,3] => 69
[3,1,5,2,4,6,8,7] => 1010001 => [1,1,1,3,1] => 219
[3,5,1,2,4,6,8,7] => 0100001 => [1,1,4,1] => 107
[3,1,2,5,4,6,8,7] => 1001001 => [1,2,1,2,1] => 281
[1,3,5,2,4,6,8,7] => 0010001 => [2,1,3,1] => 157
[1,3,5,6,2,4,8,7] => 0001001 => [3,1,2,1] => 137
[3,1,2,5,6,8,4,7] => 1000010 => [1,4,1,1] => 107
[1,3,5,2,6,8,4,7] => 0010010 => [2,1,2,1,1] => 252
[1,3,5,6,2,8,4,7] => 0001010 => [3,1,1,1,1] => 165
[1,3,5,6,8,2,4,7] => 0000100 => [4,1,2] => 55
[3,1,5,2,4,6,7,8] => 1010000 => [1,1,1,4] => 75
[3,5,1,2,4,6,7,8] => 0100000 => [1,1,5] => 27
[1,3,5,2,4,6,7,8] => 0010000 => [2,1,4] => 55
[3,1,2,5,6,4,7,8] => 1000100 => [1,3,1,2] => 157
[1,3,5,2,6,4,7,8] => 0010100 => [2,1,1,1,2] => 207
[1,3,5,6,2,4,7,8] => 0001000 => [3,1,3] => 69
[3,1,2,5,6,7,4,8] => 1000010 => [1,4,1,1] => 107
[1,3,5,2,6,7,4,8] => 0010010 => [2,1,2,1,1] => 252
[1,3,5,6,2,7,4,8] => 0001010 => [3,1,1,1,1] => 165
[1,3,5,6,7,2,4,8] => 0000100 => [4,1,2] => 55
[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] => 157
[1,3,5,6,2,7,8,4] => 0001001 => [3,1,2,1] => 137
[1,3,5,6,7,2,8,4] => 0000101 => [4,1,1,1] => 75
[1,3,5,6,7,8,2,4] => 0000010 => [5,1,1] => 27
[3,1,6,2,7,4,8,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[3,6,1,2,7,4,8,5] => 0100101 => [1,1,2,1,1,1] => 359
[3,6,1,7,2,4,8,5] => 0101001 => [1,1,1,1,2,1] => 345
[3,6,7,1,2,4,8,5] => 0010001 => [2,1,3,1] => 157
[3,6,1,2,7,8,4,5] => 0100010 => [1,1,3,1,1] => 233
[3,1,6,7,2,8,4,5] => 1001010 => [1,2,1,1,1,1] => 345
[3,6,1,7,2,8,4,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,6,7,1,2,8,4,5] => 0010010 => [2,1,2,1,1] => 252
[3,6,1,7,8,2,4,5] => 0100100 => [1,1,2,1,2] => 252
[3,6,7,8,1,2,4,5] => 0001000 => [3,1,3] => 69
[3,1,6,2,7,4,5,8] => 1010100 => [1,1,1,1,1,2] => 297
[3,1,6,7,2,4,5,8] => 1001000 => [1,2,1,3] => 137
[3,6,7,1,2,4,5,8] => 0010000 => [2,1,4] => 55
[3,1,6,2,4,7,5,8] => 1010010 => [1,1,1,2,1,1] => 359
[3,6,1,2,4,7,5,8] => 0100010 => [1,1,3,1,1] => 233
[3,1,2,6,4,7,5,8] => 1001010 => [1,2,1,1,1,1] => 345
[1,3,2,6,4,7,5,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,3,6,2,4,7,5,8] => 0010010 => [2,1,2,1,1] => 252
[1,3,2,6,7,4,5,8] => 0100100 => [1,1,2,1,2] => 252
[1,3,6,2,7,4,5,8] => 0010100 => [2,1,1,1,2] => 207
[3,1,6,2,4,7,8,5] => 1010001 => [1,1,1,3,1] => 219
[3,6,1,2,4,7,8,5] => 0100001 => [1,1,4,1] => 107
[3,1,2,6,4,7,8,5] => 1001001 => [1,2,1,2,1] => 281
[1,3,2,6,4,7,8,5] => 0101001 => [1,1,1,1,2,1] => 345
[1,3,6,2,4,7,8,5] => 0010001 => [2,1,3,1] => 157
[3,1,2,6,7,4,8,5] => 1000101 => [1,3,1,1,1] => 219
[1,3,2,6,7,4,8,5] => 0100101 => [1,1,2,1,1,1] => 359
[1,3,6,2,7,4,8,5] => 0010101 => [2,1,1,1,1,1] => 297
[3,1,2,6,7,8,4,5] => 1000010 => [1,4,1,1] => 107
[1,3,2,6,7,8,4,5] => 0100010 => [1,1,3,1,1] => 233
[1,3,6,2,7,8,4,5] => 0010010 => [2,1,2,1,1] => 252
[1,3,6,7,8,2,4,5] => 0000100 => [4,1,2] => 55
[3,1,6,2,8,4,5,7] => 1010100 => [1,1,1,1,1,2] => 297
[3,1,6,8,2,4,5,7] => 1001000 => [1,2,1,3] => 137
[3,6,1,8,2,4,5,7] => 0101000 => [1,1,1,1,3] => 165
[3,6,8,1,2,4,5,7] => 0010000 => [2,1,4] => 55
[3,1,6,2,4,8,5,7] => 1010010 => [1,1,1,2,1,1] => 359
[3,6,1,2,4,8,5,7] => 0100010 => [1,1,3,1,1] => 233
[1,3,2,6,4,8,5,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,3,6,2,4,8,5,7] => 0010010 => [2,1,2,1,1] => 252
[3,1,2,6,8,4,5,7] => 1000100 => [1,3,1,2] => 157
[1,3,2,6,8,4,5,7] => 0100100 => [1,1,2,1,2] => 252
[3,1,6,2,4,5,8,7] => 1010001 => [1,1,1,3,1] => 219
[3,6,1,2,4,5,8,7] => 0100001 => [1,1,4,1] => 107
[3,1,2,6,4,5,8,7] => 1001001 => [1,2,1,2,1] => 281
[1,3,6,2,4,5,8,7] => 0010001 => [2,1,3,1] => 157
[3,1,2,4,6,5,8,7] => 1000101 => [1,3,1,1,1] => 219
[1,3,4,6,2,5,8,7] => 0001001 => [3,1,2,1] => 137
[3,1,2,4,6,8,5,7] => 1000010 => [1,4,1,1] => 107
[1,3,2,4,6,8,5,7] => 0100010 => [1,1,3,1,1] => 233
[1,3,4,6,8,2,5,7] => 0000100 => [4,1,2] => 55
[3,1,6,2,4,5,7,8] => 1010000 => [1,1,1,4] => 75
[3,6,1,2,4,5,7,8] => 0100000 => [1,1,5] => 27
[1,3,2,6,4,5,7,8] => 0101000 => [1,1,1,1,3] => 165
[1,3,6,2,4,5,7,8] => 0010000 => [2,1,4] => 55
[1,3,4,6,2,5,7,8] => 0001000 => [3,1,3] => 69
[3,1,2,4,6,7,5,8] => 1000010 => [1,4,1,1] => 107
[1,3,4,6,2,7,5,8] => 0001010 => [3,1,1,1,1] => 165
[1,3,4,6,7,2,5,8] => 0000100 => [4,1,2] => 55
[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] => 75
[1,3,4,6,7,8,2,5] => 0000010 => [5,1,1] => 27
[3,1,7,2,8,4,5,6] => 1010100 => [1,1,1,1,1,2] => 297
[3,7,1,2,8,4,5,6] => 0100100 => [1,1,2,1,2] => 252
[3,1,7,8,2,4,5,6] => 1001000 => [1,2,1,3] => 137
[3,7,1,8,2,4,5,6] => 0101000 => [1,1,1,1,3] => 165
[3,7,8,1,2,4,5,6] => 0010000 => [2,1,4] => 55
[3,7,1,2,4,8,5,6] => 0100010 => [1,1,3,1,1] => 233
[3,1,2,7,4,8,5,6] => 1001010 => [1,2,1,1,1,1] => 345
[1,3,2,7,4,8,5,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,3,7,2,4,8,5,6] => 0010010 => [2,1,2,1,1] => 252
[3,1,2,7,8,4,5,6] => 1000100 => [1,3,1,2] => 157
[1,3,7,2,8,4,5,6] => 0010100 => [2,1,1,1,2] => 207
[1,3,7,8,2,4,5,6] => 0001000 => [3,1,3] => 69
[3,1,7,2,4,5,8,6] => 1010001 => [1,1,1,3,1] => 219
[3,7,1,2,4,5,8,6] => 0100001 => [1,1,4,1] => 107
[1,3,7,2,4,5,8,6] => 0010001 => [2,1,3,1] => 157
[3,1,2,4,7,5,8,6] => 1000101 => [1,3,1,1,1] => 219
[1,3,2,4,7,5,8,6] => 0100101 => [1,1,2,1,1,1] => 359
[1,3,4,2,7,5,8,6] => 0010101 => [2,1,1,1,1,1] => 297
[3,1,2,4,7,8,5,6] => 1000010 => [1,4,1,1] => 107
[1,3,2,4,7,8,5,6] => 0100010 => [1,1,3,1,1] => 233
[1,3,4,2,7,8,5,6] => 0010010 => [2,1,2,1,1] => 252
[1,3,4,7,8,2,5,6] => 0000100 => [4,1,2] => 55
[3,1,7,2,4,5,6,8] => 1010000 => [1,1,1,4] => 75
[3,7,1,2,4,5,6,8] => 0100000 => [1,1,5] => 27
[1,3,2,7,4,5,6,8] => 0101000 => [1,1,1,1,3] => 165
[1,3,7,2,4,5,6,8] => 0010000 => [2,1,4] => 55
[3,1,2,4,7,5,6,8] => 1000100 => [1,3,1,2] => 157
[1,3,4,7,2,5,6,8] => 0001000 => [3,1,3] => 69
[3,1,2,4,5,7,6,8] => 1000010 => [1,4,1,1] => 107
[1,3,4,5,7,2,6,8] => 0000100 => [4,1,2] => 55
[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] => 75
[1,3,4,5,7,8,2,6] => 0000010 => [5,1,1] => 27
[3,1,8,2,4,5,6,7] => 1010000 => [1,1,1,4] => 75
[3,8,1,2,4,5,6,7] => 0100000 => [1,1,5] => 27
[3,1,2,8,4,5,6,7] => 1001000 => [1,2,1,3] => 137
[1,3,2,8,4,5,6,7] => 0101000 => [1,1,1,1,3] => 165
[1,3,8,2,4,5,6,7] => 0010000 => [2,1,4] => 55
[3,1,2,4,8,5,6,7] => 1000100 => [1,3,1,2] => 157
[1,3,2,4,8,5,6,7] => 0100100 => [1,1,2,1,2] => 252
[1,3,4,2,8,5,6,7] => 0010100 => [2,1,1,1,2] => 207
[1,3,4,8,2,5,6,7] => 0001000 => [3,1,3] => 69
[3,1,2,4,5,8,6,7] => 1000010 => [1,4,1,1] => 107
[1,3,2,4,5,8,6,7] => 0100010 => [1,1,3,1,1] => 233
[1,3,4,2,5,8,6,7] => 0010010 => [2,1,2,1,1] => 252
[1,3,4,5,2,8,6,7] => 0001010 => [3,1,1,1,1] => 165
[1,3,4,5,8,2,6,7] => 0000100 => [4,1,2] => 55
[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] => 27
[4,1,5,2,6,3,8,7] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,5,1,2,6,3,8,7] => 0100101 => [1,1,2,1,1,1] => 359
[4,1,5,6,2,3,8,7] => 1001001 => [1,2,1,2,1] => 281
[4,5,1,6,2,3,8,7] => 0101001 => [1,1,1,1,2,1] => 345
[4,5,6,1,2,3,8,7] => 0010001 => [2,1,3,1] => 157
[4,1,5,2,6,8,3,7] => 1010010 => [1,1,1,2,1,1] => 359
[4,5,1,2,6,8,3,7] => 0100010 => [1,1,3,1,1] => 233
[4,1,5,6,2,8,3,7] => 1001010 => [1,2,1,1,1,1] => 345
[4,5,1,6,2,8,3,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,5,6,1,2,8,3,7] => 0010010 => [2,1,2,1,1] => 252
[4,1,5,6,8,2,3,7] => 1000100 => [1,3,1,2] => 157
[4,5,1,6,8,2,3,7] => 0100100 => [1,1,2,1,2] => 252
[4,5,6,1,8,2,3,7] => 0010100 => [2,1,1,1,2] => 207
[4,5,6,8,1,2,3,7] => 0001000 => [3,1,3] => 69
[4,1,5,2,6,3,7,8] => 1010100 => [1,1,1,1,1,2] => 297
[4,1,5,6,2,3,7,8] => 1001000 => [1,2,1,3] => 137
[4,5,1,6,2,3,7,8] => 0101000 => [1,1,1,1,3] => 165
[4,5,1,2,6,7,3,8] => 0100010 => [1,1,3,1,1] => 233
[4,5,1,6,2,7,3,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,5,6,1,2,7,3,8] => 0010010 => [2,1,2,1,1] => 252
[4,1,5,6,7,2,3,8] => 1000100 => [1,3,1,2] => 157
[4,5,1,6,7,2,3,8] => 0100100 => [1,1,2,1,2] => 252
[4,5,6,1,7,2,3,8] => 0010100 => [2,1,1,1,2] => 207
[4,1,5,2,6,7,8,3] => 1010001 => [1,1,1,3,1] => 219
[4,5,1,2,6,7,8,3] => 0100001 => [1,1,4,1] => 107
[4,5,1,6,2,7,8,3] => 0101001 => [1,1,1,1,2,1] => 345
[4,5,6,1,2,7,8,3] => 0010001 => [2,1,3,1] => 157
[4,1,5,6,7,2,8,3] => 1000101 => [1,3,1,1,1] => 219
[4,5,1,6,7,2,8,3] => 0100101 => [1,1,2,1,1,1] => 359
[4,5,6,1,7,2,8,3] => 0010101 => [2,1,1,1,1,1] => 297
[4,5,6,7,1,2,8,3] => 0001001 => [3,1,2,1] => 137
[4,1,5,6,7,8,2,3] => 1000010 => [1,4,1,1] => 107
[4,5,1,6,7,8,2,3] => 0100010 => [1,1,3,1,1] => 233
[4,5,6,1,7,8,2,3] => 0010010 => [2,1,2,1,1] => 252
[4,5,6,7,1,8,2,3] => 0001010 => [3,1,1,1,1] => 165
[4,1,5,2,7,3,8,6] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,5,1,7,2,3,8,6] => 0101001 => [1,1,1,1,2,1] => 345
[4,5,7,1,2,3,8,6] => 0010001 => [2,1,3,1] => 157
[4,1,5,2,7,8,3,6] => 1010010 => [1,1,1,2,1,1] => 359
[4,5,1,2,7,8,3,6] => 0100010 => [1,1,3,1,1] => 233
[4,1,5,7,2,8,3,6] => 1001010 => [1,2,1,1,1,1] => 345
[4,5,1,7,2,8,3,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,5,7,1,2,8,3,6] => 0010010 => [2,1,2,1,1] => 252
[4,5,1,7,8,2,3,6] => 0100100 => [1,1,2,1,2] => 252
[4,5,7,8,1,2,3,6] => 0001000 => [3,1,3] => 69
[4,1,5,2,7,3,6,8] => 1010100 => [1,1,1,1,1,2] => 297
[4,5,1,2,7,3,6,8] => 0100100 => [1,1,2,1,2] => 252
[4,1,5,7,2,3,6,8] => 1001000 => [1,2,1,3] => 137
[4,5,1,7,2,3,6,8] => 0101000 => [1,1,1,1,3] => 165
[4,1,5,2,3,7,6,8] => 1010010 => [1,1,1,2,1,1] => 359
[4,5,1,2,3,7,6,8] => 0100010 => [1,1,3,1,1] => 233
[4,1,2,5,3,7,6,8] => 1001010 => [1,2,1,1,1,1] => 345
[1,4,2,5,3,7,6,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,4,5,2,3,7,6,8] => 0010010 => [2,1,2,1,1] => 252
[4,1,2,5,7,3,6,8] => 1000100 => [1,3,1,2] => 157
[1,4,2,5,7,3,6,8] => 0100100 => [1,1,2,1,2] => 252
[1,4,5,2,7,3,6,8] => 0010100 => [2,1,1,1,2] => 207
[1,4,5,7,2,3,6,8] => 0001000 => [3,1,3] => 69
[4,1,5,2,3,7,8,6] => 1010001 => [1,1,1,3,1] => 219
[4,1,2,5,3,7,8,6] => 1001001 => [1,2,1,2,1] => 281
[1,4,2,5,3,7,8,6] => 0101001 => [1,1,1,1,2,1] => 345
[1,4,5,2,3,7,8,6] => 0010001 => [2,1,3,1] => 157
[4,1,2,5,7,3,8,6] => 1000101 => [1,3,1,1,1] => 219
[1,4,2,5,7,3,8,6] => 0100101 => [1,1,2,1,1,1] => 359
[1,4,5,2,7,3,8,6] => 0010101 => [2,1,1,1,1,1] => 297
[1,4,5,7,2,3,8,6] => 0001001 => [3,1,2,1] => 137
[4,1,2,5,7,8,3,6] => 1000010 => [1,4,1,1] => 107
[1,4,2,5,7,8,3,6] => 0100010 => [1,1,3,1,1] => 233
[1,4,5,2,7,8,3,6] => 0010010 => [2,1,2,1,1] => 252
[1,4,5,7,8,2,3,6] => 0000100 => [4,1,2] => 55
[4,1,5,2,8,3,6,7] => 1010100 => [1,1,1,1,1,2] => 297
[4,5,1,2,8,3,6,7] => 0100100 => [1,1,2,1,2] => 252
[4,1,5,8,2,3,6,7] => 1001000 => [1,2,1,3] => 137
[4,5,1,8,2,3,6,7] => 0101000 => [1,1,1,1,3] => 165
[4,5,8,1,2,3,6,7] => 0010000 => [2,1,4] => 55
[4,1,5,2,3,8,6,7] => 1010010 => [1,1,1,2,1,1] => 359
[4,5,1,2,3,8,6,7] => 0100010 => [1,1,3,1,1] => 233
[4,1,2,5,3,8,6,7] => 1001010 => [1,2,1,1,1,1] => 345
[1,4,2,5,3,8,6,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,4,5,2,3,8,6,7] => 0010010 => [2,1,2,1,1] => 252
[4,1,2,5,8,3,6,7] => 1000100 => [1,3,1,2] => 157
[1,4,2,5,8,3,6,7] => 0100100 => [1,1,2,1,2] => 252
[1,4,5,2,8,3,6,7] => 0010100 => [2,1,1,1,2] => 207
[1,4,5,8,2,3,6,7] => 0001000 => [3,1,3] => 69
[1,4,2,5,3,6,8,7] => 0101001 => [1,1,1,1,2,1] => 345
[4,1,2,5,6,3,8,7] => 1000101 => [1,3,1,1,1] => 219
[1,4,5,2,6,3,8,7] => 0010101 => [2,1,1,1,1,1] => 297
[1,4,5,6,2,3,8,7] => 0001001 => [3,1,2,1] => 137
[4,1,2,5,6,8,3,7] => 1000010 => [1,4,1,1] => 107
[1,4,2,5,6,8,3,7] => 0100010 => [1,1,3,1,1] => 233
[1,4,5,2,6,8,3,7] => 0010010 => [2,1,2,1,1] => 252
[1,4,5,6,2,8,3,7] => 0001010 => [3,1,1,1,1] => 165
[1,4,5,6,8,2,3,7] => 0000100 => [4,1,2] => 55
[4,1,5,2,3,6,7,8] => 1010000 => [1,1,1,4] => 75
[4,1,2,5,3,6,7,8] => 1001000 => [1,2,1,3] => 137
[1,4,2,5,3,6,7,8] => 0101000 => [1,1,1,1,3] => 165
[1,4,5,2,3,6,7,8] => 0010000 => [2,1,4] => 55
[4,1,2,5,6,3,7,8] => 1000100 => [1,3,1,2] => 157
[1,4,5,2,6,3,7,8] => 0010100 => [2,1,1,1,2] => 207
[1,4,5,6,2,3,7,8] => 0001000 => [3,1,3] => 69
[4,1,2,5,6,7,3,8] => 1000010 => [1,4,1,1] => 107
[1,4,2,5,6,7,3,8] => 0100010 => [1,1,3,1,1] => 233
[1,4,5,2,6,7,3,8] => 0010010 => [2,1,2,1,1] => 252
[1,4,5,6,2,7,3,8] => 0001010 => [3,1,1,1,1] => 165
[1,4,5,6,7,2,3,8] => 0000100 => [4,1,2] => 55
[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] => 107
[1,4,5,2,6,7,8,3] => 0010001 => [2,1,3,1] => 157
[1,4,5,6,2,7,8,3] => 0001001 => [3,1,2,1] => 137
[1,4,5,6,7,2,8,3] => 0000101 => [4,1,1,1] => 75
[1,4,5,6,7,8,2,3] => 0000010 => [5,1,1] => 27
[4,1,6,2,7,3,8,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,1,6,7,2,3,8,5] => 1001001 => [1,2,1,2,1] => 281
[4,6,7,1,2,3,8,5] => 0010001 => [2,1,3,1] => 157
[4,6,1,2,7,8,3,5] => 0100010 => [1,1,3,1,1] => 233
[4,6,1,7,2,8,3,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,6,7,1,2,8,3,5] => 0010010 => [2,1,2,1,1] => 252
[4,1,6,7,8,2,3,5] => 1000100 => [1,3,1,2] => 157
[4,6,1,7,8,2,3,5] => 0100100 => [1,1,2,1,2] => 252
[4,6,7,1,8,2,3,5] => 0010100 => [2,1,1,1,2] => 207
[4,6,7,8,1,2,3,5] => 0001000 => [3,1,3] => 69
[4,1,6,2,7,3,5,8] => 1010100 => [1,1,1,1,1,2] => 297
[4,6,1,2,7,3,5,8] => 0100100 => [1,1,2,1,2] => 252
[4,1,6,7,2,3,5,8] => 1001000 => [1,2,1,3] => 137
[4,6,1,7,2,3,5,8] => 0101000 => [1,1,1,1,3] => 165
[4,6,7,1,2,3,5,8] => 0010000 => [2,1,4] => 55
[4,1,6,2,3,7,5,8] => 1010010 => [1,1,1,2,1,1] => 359
[4,6,1,2,3,7,5,8] => 0100010 => [1,1,3,1,1] => 233
[4,1,2,6,3,7,5,8] => 1001010 => [1,2,1,1,1,1] => 345
[1,4,2,6,3,7,5,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,1,2,6,7,3,5,8] => 1000100 => [1,3,1,2] => 157
[1,4,2,6,7,3,5,8] => 0100100 => [1,1,2,1,2] => 252
[1,4,6,2,7,3,5,8] => 0010100 => [2,1,1,1,2] => 207
[1,4,6,7,2,3,5,8] => 0001000 => [3,1,3] => 69
[4,1,6,2,3,7,8,5] => 1010001 => [1,1,1,3,1] => 219
[4,1,2,6,3,7,8,5] => 1001001 => [1,2,1,2,1] => 281
[1,4,6,2,3,7,8,5] => 0010001 => [2,1,3,1] => 157
[4,1,2,6,7,3,8,5] => 1000101 => [1,3,1,1,1] => 219
[1,4,6,2,7,3,8,5] => 0010101 => [2,1,1,1,1,1] => 297
[1,4,6,7,2,3,8,5] => 0001001 => [3,1,2,1] => 137
[1,4,2,6,7,8,3,5] => 0100010 => [1,1,3,1,1] => 233
[1,4,6,2,7,8,3,5] => 0010010 => [2,1,2,1,1] => 252
[1,4,6,7,2,8,3,5] => 0001010 => [3,1,1,1,1] => 165
[1,4,6,7,8,2,3,5] => 0000100 => [4,1,2] => 55
[4,1,6,2,8,3,5,7] => 1010100 => [1,1,1,1,1,2] => 297
[4,6,1,2,8,3,5,7] => 0100100 => [1,1,2,1,2] => 252
[4,1,6,8,2,3,5,7] => 1001000 => [1,2,1,3] => 137
[4,6,1,8,2,3,5,7] => 0101000 => [1,1,1,1,3] => 165
[4,6,8,1,2,3,5,7] => 0010000 => [2,1,4] => 55
[4,1,6,2,3,8,5,7] => 1010010 => [1,1,1,2,1,1] => 359
[4,6,1,2,3,8,5,7] => 0100010 => [1,1,3,1,1] => 233
[4,1,2,6,3,8,5,7] => 1001010 => [1,2,1,1,1,1] => 345
[1,4,2,6,3,8,5,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,4,6,2,3,8,5,7] => 0010010 => [2,1,2,1,1] => 252
[1,4,2,6,8,3,5,7] => 0100100 => [1,1,2,1,2] => 252
[1,4,6,2,8,3,5,7] => 0010100 => [2,1,1,1,2] => 207
[1,4,6,8,2,3,5,7] => 0001000 => [3,1,3] => 69
[4,1,6,2,3,5,8,7] => 1010001 => [1,1,1,3,1] => 219
[4,6,1,2,3,5,8,7] => 0100001 => [1,1,4,1] => 107
[4,1,2,6,3,5,8,7] => 1001001 => [1,2,1,2,1] => 281
[1,4,2,6,3,5,8,7] => 0101001 => [1,1,1,1,2,1] => 345
[1,4,6,2,3,5,8,7] => 0010001 => [2,1,3,1] => 157
[4,1,2,3,6,5,8,7] => 1000101 => [1,3,1,1,1] => 219
[1,4,2,3,6,5,8,7] => 0100101 => [1,1,2,1,1,1] => 359
[1,2,4,6,3,5,8,7] => 0001001 => [3,1,2,1] => 137
[4,1,2,3,6,8,5,7] => 1000010 => [1,4,1,1] => 107
[1,2,4,3,6,8,5,7] => 0010010 => [2,1,2,1,1] => 252
[1,2,4,6,8,3,5,7] => 0000100 => [4,1,2] => 55
[4,1,6,2,3,5,7,8] => 1010000 => [1,1,1,4] => 75
[4,6,1,2,3,5,7,8] => 0100000 => [1,1,5] => 27
[1,4,2,6,3,5,7,8] => 0101000 => [1,1,1,1,3] => 165
[1,4,6,2,3,5,7,8] => 0010000 => [2,1,4] => 55
[4,1,2,3,6,5,7,8] => 1000100 => [1,3,1,2] => 157
[1,4,2,3,6,5,7,8] => 0100100 => [1,1,2,1,2] => 252
[1,2,4,6,3,5,7,8] => 0001000 => [3,1,3] => 69
[4,1,2,3,6,7,5,8] => 1000010 => [1,4,1,1] => 107
[1,4,2,3,6,7,5,8] => 0100010 => [1,1,3,1,1] => 233
[1,2,4,6,7,3,5,8] => 0000100 => [4,1,2] => 55
[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] => 107
[1,2,4,6,7,3,8,5] => 0000101 => [4,1,1,1] => 75
[1,2,4,6,7,8,3,5] => 0000010 => [5,1,1] => 27
[4,1,7,2,8,3,5,6] => 1010100 => [1,1,1,1,1,2] => 297
[4,7,1,2,8,3,5,6] => 0100100 => [1,1,2,1,2] => 252
[4,1,7,8,2,3,5,6] => 1001000 => [1,2,1,3] => 137
[4,7,1,8,2,3,5,6] => 0101000 => [1,1,1,1,3] => 165
[4,7,8,1,2,3,5,6] => 0010000 => [2,1,4] => 55
[4,7,1,2,3,8,5,6] => 0100010 => [1,1,3,1,1] => 233
[1,4,2,7,3,8,5,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,4,7,2,3,8,5,6] => 0010010 => [2,1,2,1,1] => 252
[4,1,2,7,8,3,5,6] => 1000100 => [1,3,1,2] => 157
[1,4,2,7,8,3,5,6] => 0100100 => [1,1,2,1,2] => 252
[1,4,7,2,8,3,5,6] => 0010100 => [2,1,1,1,2] => 207
[1,4,7,8,2,3,5,6] => 0001000 => [3,1,3] => 69
[4,1,7,2,3,5,8,6] => 1010001 => [1,1,1,3,1] => 219
[4,7,1,2,3,5,8,6] => 0100001 => [1,1,4,1] => 107
[4,1,2,7,3,5,8,6] => 1001001 => [1,2,1,2,1] => 281
[1,4,2,7,3,5,8,6] => 0101001 => [1,1,1,1,2,1] => 345
[1,4,7,2,3,5,8,6] => 0010001 => [2,1,3,1] => 157
[4,1,2,3,7,5,8,6] => 1000101 => [1,3,1,1,1] => 219
[1,4,2,3,7,5,8,6] => 0100101 => [1,1,2,1,1,1] => 359
[1,2,4,3,7,5,8,6] => 0010101 => [2,1,1,1,1,1] => 297
[1,2,4,7,3,5,8,6] => 0001001 => [3,1,2,1] => 137
[4,1,2,3,7,8,5,6] => 1000010 => [1,4,1,1] => 107
[1,4,2,3,7,8,5,6] => 0100010 => [1,1,3,1,1] => 233
[1,2,4,3,7,8,5,6] => 0010010 => [2,1,2,1,1] => 252
[1,2,4,7,3,8,5,6] => 0001010 => [3,1,1,1,1] => 165
[1,2,4,7,8,3,5,6] => 0000100 => [4,1,2] => 55
[4,1,7,2,3,5,6,8] => 1010000 => [1,1,1,4] => 75
[4,7,1,2,3,5,6,8] => 0100000 => [1,1,5] => 27
[4,1,2,7,3,5,6,8] => 1001000 => [1,2,1,3] => 137
[1,4,2,7,3,5,6,8] => 0101000 => [1,1,1,1,3] => 165
[1,4,7,2,3,5,6,8] => 0010000 => [2,1,4] => 55
[4,1,2,3,7,5,6,8] => 1000100 => [1,3,1,2] => 157
[1,4,2,3,7,5,6,8] => 0100100 => [1,1,2,1,2] => 252
[1,2,4,3,7,5,6,8] => 0010100 => [2,1,1,1,2] => 207
[1,2,4,7,3,5,6,8] => 0001000 => [3,1,3] => 69
[4,1,2,3,5,7,6,8] => 1000010 => [1,4,1,1] => 107
[1,4,2,3,5,7,6,8] => 0100010 => [1,1,3,1,1] => 233
[1,2,4,5,7,3,6,8] => 0000100 => [4,1,2] => 55
[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] => 107
[1,2,4,5,7,3,8,6] => 0000101 => [4,1,1,1] => 75
[1,2,4,5,7,8,3,6] => 0000010 => [5,1,1] => 27
[4,1,8,2,3,5,6,7] => 1010000 => [1,1,1,4] => 75
[4,8,1,2,3,5,6,7] => 0100000 => [1,1,5] => 27
[4,1,2,8,3,5,6,7] => 1001000 => [1,2,1,3] => 137
[1,4,2,8,3,5,6,7] => 0101000 => [1,1,1,1,3] => 165
[1,4,8,2,3,5,6,7] => 0010000 => [2,1,4] => 55
[4,1,2,3,8,5,6,7] => 1000100 => [1,3,1,2] => 157
[1,4,2,3,8,5,6,7] => 0100100 => [1,1,2,1,2] => 252
[1,2,4,3,8,5,6,7] => 0010100 => [2,1,1,1,2] => 207
[1,2,4,8,3,5,6,7] => 0001000 => [3,1,3] => 69
[4,1,2,3,5,8,6,7] => 1000010 => [1,4,1,1] => 107
[1,4,2,3,5,8,6,7] => 0100010 => [1,1,3,1,1] => 233
[1,2,4,3,5,8,6,7] => 0010010 => [2,1,2,1,1] => 252
[1,2,4,5,3,8,6,7] => 0001010 => [3,1,1,1,1] => 165
[1,2,4,5,8,3,6,7] => 0000100 => [4,1,2] => 55
[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] => 107
[1,2,4,5,6,8,3,7] => 0000010 => [5,1,1] => 27
[1,4,2,3,5,6,7,8] => 0100000 => [1,1,5] => 27
[5,1,6,2,7,3,8,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,6,1,2,7,3,8,4] => 0100101 => [1,1,2,1,1,1] => 359
[5,1,6,7,2,3,8,4] => 1001001 => [1,2,1,2,1] => 281
[5,6,1,7,2,3,8,4] => 0101001 => [1,1,1,1,2,1] => 345
[5,6,7,1,2,3,8,4] => 0010001 => [2,1,3,1] => 157
[5,6,1,2,7,8,3,4] => 0100010 => [1,1,3,1,1] => 233
[5,1,6,7,2,8,3,4] => 1001010 => [1,2,1,1,1,1] => 345
[5,6,7,1,2,8,3,4] => 0010010 => [2,1,2,1,1] => 252
[5,1,6,7,8,2,3,4] => 1000100 => [1,3,1,2] => 157
[5,6,1,7,8,2,3,4] => 0100100 => [1,1,2,1,2] => 252
[5,6,7,1,8,2,3,4] => 0010100 => [2,1,1,1,2] => 207
[5,1,6,2,7,3,4,8] => 1010100 => [1,1,1,1,1,2] => 297
[5,6,1,2,7,3,4,8] => 0100100 => [1,1,2,1,2] => 252
[5,6,1,7,2,3,4,8] => 0101000 => [1,1,1,1,3] => 165
[5,1,6,2,3,7,4,8] => 1010010 => [1,1,1,2,1,1] => 359
[5,1,2,6,3,7,4,8] => 1001010 => [1,2,1,1,1,1] => 345
[1,5,2,6,3,7,4,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,1,2,6,7,3,4,8] => 1000100 => [1,3,1,2] => 157
[1,5,2,6,7,3,4,8] => 0100100 => [1,1,2,1,2] => 252
[1,5,6,2,7,3,4,8] => 0010100 => [2,1,1,1,2] => 207
[1,5,6,7,2,3,4,8] => 0001000 => [3,1,3] => 69
[5,1,6,2,3,7,8,4] => 1010001 => [1,1,1,3,1] => 219
[5,6,1,2,3,7,8,4] => 0100001 => [1,1,4,1] => 107
[5,1,2,6,3,7,8,4] => 1001001 => [1,2,1,2,1] => 281
[1,5,2,6,3,7,8,4] => 0101001 => [1,1,1,1,2,1] => 345
[1,5,6,2,3,7,8,4] => 0010001 => [2,1,3,1] => 157
[5,1,2,6,7,3,8,4] => 1000101 => [1,3,1,1,1] => 219
[1,5,6,7,2,3,8,4] => 0001001 => [3,1,2,1] => 137
[5,1,2,6,7,8,3,4] => 1000010 => [1,4,1,1] => 107
[1,5,2,6,7,8,3,4] => 0100010 => [1,1,3,1,1] => 233
[1,5,6,2,7,8,3,4] => 0010010 => [2,1,2,1,1] => 252
[1,5,6,7,2,8,3,4] => 0001010 => [3,1,1,1,1] => 165
[1,5,6,7,8,2,3,4] => 0000100 => [4,1,2] => 55
[5,1,6,2,8,3,4,7] => 1010100 => [1,1,1,1,1,2] => 297
[5,6,1,2,8,3,4,7] => 0100100 => [1,1,2,1,2] => 252
[5,6,1,8,2,3,4,7] => 0101000 => [1,1,1,1,3] => 165
[5,6,8,1,2,3,4,7] => 0010000 => [2,1,4] => 55
[5,1,6,2,3,8,4,7] => 1010010 => [1,1,1,2,1,1] => 359
[5,6,1,2,3,8,4,7] => 0100010 => [1,1,3,1,1] => 233
[5,1,2,6,3,8,4,7] => 1001010 => [1,2,1,1,1,1] => 345
[1,5,2,6,3,8,4,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,5,6,2,3,8,4,7] => 0010010 => [2,1,2,1,1] => 252
[5,1,2,6,8,3,4,7] => 1000100 => [1,3,1,2] => 157
[1,5,2,6,8,3,4,7] => 0100100 => [1,1,2,1,2] => 252
[1,5,6,2,8,3,4,7] => 0010100 => [2,1,1,1,2] => 207
[1,5,6,8,2,3,4,7] => 0001000 => [3,1,3] => 69
[5,1,6,2,3,4,8,7] => 1010001 => [1,1,1,3,1] => 219
[5,6,1,2,3,4,8,7] => 0100001 => [1,1,4,1] => 107
[5,1,2,6,3,4,8,7] => 1001001 => [1,2,1,2,1] => 281
[1,5,2,6,3,4,8,7] => 0101001 => [1,1,1,1,2,1] => 345
[1,5,6,2,3,4,8,7] => 0010001 => [2,1,3,1] => 157
[1,5,2,3,6,4,8,7] => 0100101 => [1,1,2,1,1,1] => 359
[1,2,5,3,6,4,8,7] => 0010101 => [2,1,1,1,1,1] => 297
[1,2,5,6,3,4,8,7] => 0001001 => [3,1,2,1] => 137
[5,1,2,3,6,8,4,7] => 1000010 => [1,4,1,1] => 107
[1,5,2,3,6,8,4,7] => 0100010 => [1,1,3,1,1] => 233
[1,2,5,6,3,8,4,7] => 0001010 => [3,1,1,1,1] => 165
[5,1,6,2,3,4,7,8] => 1010000 => [1,1,1,4] => 75
[5,1,2,6,3,4,7,8] => 1001000 => [1,2,1,3] => 137
[1,5,2,6,3,4,7,8] => 0101000 => [1,1,1,1,3] => 165
[1,5,6,2,3,4,7,8] => 0010000 => [2,1,4] => 55
[5,1,2,3,6,4,7,8] => 1000100 => [1,3,1,2] => 157
[1,5,2,3,6,4,7,8] => 0100100 => [1,1,2,1,2] => 252
[1,2,5,3,6,4,7,8] => 0010100 => [2,1,1,1,2] => 207
[1,2,5,6,3,4,7,8] => 0001000 => [3,1,3] => 69
[5,1,2,3,6,7,4,8] => 1000010 => [1,4,1,1] => 107
[1,5,2,3,6,7,4,8] => 0100010 => [1,1,3,1,1] => 233
[1,2,5,3,6,7,4,8] => 0010010 => [2,1,2,1,1] => 252
[1,2,5,6,3,7,4,8] => 0001010 => [3,1,1,1,1] => 165
[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] => 107
[1,2,5,3,6,7,8,4] => 0010001 => [2,1,3,1] => 157
[1,2,5,6,3,7,8,4] => 0001001 => [3,1,2,1] => 137
[1,2,5,6,7,3,8,4] => 0000101 => [4,1,1,1] => 75
[1,2,5,6,7,8,3,4] => 0000010 => [5,1,1] => 27
[5,1,7,2,8,3,4,6] => 1010100 => [1,1,1,1,1,2] => 297
[5,7,1,2,8,3,4,6] => 0100100 => [1,1,2,1,2] => 252
[5,1,7,8,2,3,4,6] => 1001000 => [1,2,1,3] => 137
[5,7,1,8,2,3,4,6] => 0101000 => [1,1,1,1,3] => 165
[5,7,8,1,2,3,4,6] => 0010000 => [2,1,4] => 55
[5,1,7,2,3,8,4,6] => 1010010 => [1,1,1,2,1,1] => 359
[5,7,1,2,3,8,4,6] => 0100010 => [1,1,3,1,1] => 233
[5,1,2,7,3,8,4,6] => 1001010 => [1,2,1,1,1,1] => 345
[1,5,2,7,3,8,4,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,5,7,2,3,8,4,6] => 0010010 => [2,1,2,1,1] => 252
[5,1,2,7,8,3,4,6] => 1000100 => [1,3,1,2] => 157
[1,5,2,7,8,3,4,6] => 0100100 => [1,1,2,1,2] => 252
[1,5,7,2,8,3,4,6] => 0010100 => [2,1,1,1,2] => 207
[1,5,7,8,2,3,4,6] => 0001000 => [3,1,3] => 69
[5,1,7,2,3,4,8,6] => 1010001 => [1,1,1,3,1] => 219
[5,7,1,2,3,4,8,6] => 0100001 => [1,1,4,1] => 107
[5,1,2,7,3,4,8,6] => 1001001 => [1,2,1,2,1] => 281
[1,5,2,7,3,4,8,6] => 0101001 => [1,1,1,1,2,1] => 345
[1,5,7,2,3,4,8,6] => 0010001 => [2,1,3,1] => 157
[5,1,2,3,7,4,8,6] => 1000101 => [1,3,1,1,1] => 219
[1,5,2,3,7,4,8,6] => 0100101 => [1,1,2,1,1,1] => 359
[1,2,5,3,7,4,8,6] => 0010101 => [2,1,1,1,1,1] => 297
[1,2,5,7,3,4,8,6] => 0001001 => [3,1,2,1] => 137
[5,1,2,3,7,8,4,6] => 1000010 => [1,4,1,1] => 107
[1,5,2,3,7,8,4,6] => 0100010 => [1,1,3,1,1] => 233
[1,2,5,7,3,8,4,6] => 0001010 => [3,1,1,1,1] => 165
[1,2,5,7,8,3,4,6] => 0000100 => [4,1,2] => 55
[5,7,1,2,3,4,6,8] => 0100000 => [1,1,5] => 27
[5,1,2,7,3,4,6,8] => 1001000 => [1,2,1,3] => 137
[1,5,2,7,3,4,6,8] => 0101000 => [1,1,1,1,3] => 165
[1,5,7,2,3,4,6,8] => 0010000 => [2,1,4] => 55
[1,5,2,3,7,4,6,8] => 0100100 => [1,1,2,1,2] => 252
[1,2,5,3,7,4,6,8] => 0010100 => [2,1,1,1,2] => 207
[1,2,5,7,3,4,6,8] => 0001000 => [3,1,3] => 69
[1,5,2,3,4,7,6,8] => 0100010 => [1,1,3,1,1] => 233
[1,2,5,3,4,7,6,8] => 0010010 => [2,1,2,1,1] => 252
[1,2,3,5,7,4,6,8] => 0000100 => [4,1,2] => 55
[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] => 107
[1,2,5,3,4,7,8,6] => 0010001 => [2,1,3,1] => 157
[1,2,3,5,7,4,8,6] => 0000101 => [4,1,1,1] => 75
[1,2,3,5,7,8,4,6] => 0000010 => [5,1,1] => 27
[5,1,8,2,3,4,6,7] => 1010000 => [1,1,1,4] => 75
[5,8,1,2,3,4,6,7] => 0100000 => [1,1,5] => 27
[5,1,2,8,3,4,6,7] => 1001000 => [1,2,1,3] => 137
[1,5,2,8,3,4,6,7] => 0101000 => [1,1,1,1,3] => 165
[1,5,8,2,3,4,6,7] => 0010000 => [2,1,4] => 55
[5,1,2,3,8,4,6,7] => 1000100 => [1,3,1,2] => 157
[1,5,2,3,8,4,6,7] => 0100100 => [1,1,2,1,2] => 252
[1,2,5,3,8,4,6,7] => 0010100 => [2,1,1,1,2] => 207
[1,2,5,8,3,4,6,7] => 0001000 => [3,1,3] => 69
[5,1,2,3,4,8,6,7] => 1000010 => [1,4,1,1] => 107
[1,5,2,3,4,8,6,7] => 0100010 => [1,1,3,1,1] => 233
[1,2,5,3,4,8,6,7] => 0010010 => [2,1,2,1,1] => 252
[1,2,3,5,4,8,6,7] => 0001010 => [3,1,1,1,1] => 165
[1,2,3,5,8,4,6,7] => 0000100 => [4,1,2] => 55
[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] => 107
[1,2,5,3,4,6,8,7] => 0010001 => [2,1,3,1] => 157
[1,2,3,5,6,8,4,7] => 0000010 => [5,1,1] => 27
[1,5,2,3,4,6,7,8] => 0100000 => [1,1,5] => 27
[1,2,5,3,4,6,7,8] => 0010000 => [2,1,4] => 55
[6,1,7,2,8,3,4,5] => 1010100 => [1,1,1,1,1,2] => 297
[6,7,1,2,8,3,4,5] => 0100100 => [1,1,2,1,2] => 252
[6,1,7,8,2,3,4,5] => 1001000 => [1,2,1,3] => 137
[6,7,1,8,2,3,4,5] => 0101000 => [1,1,1,1,3] => 165
[6,1,7,2,3,8,4,5] => 1010010 => [1,1,1,2,1,1] => 359
[6,7,1,2,3,8,4,5] => 0100010 => [1,1,3,1,1] => 233
[6,1,2,7,3,8,4,5] => 1001010 => [1,2,1,1,1,1] => 345
[1,6,2,7,3,8,4,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,6,7,2,3,8,4,5] => 0010010 => [2,1,2,1,1] => 252
[6,1,2,7,8,3,4,5] => 1000100 => [1,3,1,2] => 157
[1,6,2,7,8,3,4,5] => 0100100 => [1,1,2,1,2] => 252
[1,6,7,2,8,3,4,5] => 0010100 => [2,1,1,1,2] => 207
[1,6,7,8,2,3,4,5] => 0001000 => [3,1,3] => 69
[6,1,7,2,3,4,8,5] => 1010001 => [1,1,1,3,1] => 219
[6,7,1,2,3,4,8,5] => 0100001 => [1,1,4,1] => 107
[6,1,2,7,3,4,8,5] => 1001001 => [1,2,1,2,1] => 281
[1,6,2,7,3,4,8,5] => 0101001 => [1,1,1,1,2,1] => 345
[1,6,7,2,3,4,8,5] => 0010001 => [2,1,3,1] => 157
[6,1,2,3,7,4,8,5] => 1000101 => [1,3,1,1,1] => 219
[1,6,2,3,7,4,8,5] => 0100101 => [1,1,2,1,1,1] => 359
[1,2,6,3,7,4,8,5] => 0010101 => [2,1,1,1,1,1] => 297
[6,1,2,3,7,8,4,5] => 1000010 => [1,4,1,1] => 107
[1,6,2,3,7,8,4,5] => 0100010 => [1,1,3,1,1] => 233
[1,2,6,3,7,8,4,5] => 0010010 => [2,1,2,1,1] => 252
[1,2,6,7,3,8,4,5] => 0001010 => [3,1,1,1,1] => 165
[1,2,6,7,8,3,4,5] => 0000100 => [4,1,2] => 55
[6,1,7,2,3,4,5,8] => 1010000 => [1,1,1,4] => 75
[6,1,2,7,3,4,5,8] => 1001000 => [1,2,1,3] => 137
[1,6,2,7,3,4,5,8] => 0101000 => [1,1,1,1,3] => 165
[1,6,7,2,3,4,5,8] => 0010000 => [2,1,4] => 55
[6,1,2,3,7,4,5,8] => 1000100 => [1,3,1,2] => 157
[1,6,2,3,7,4,5,8] => 0100100 => [1,1,2,1,2] => 252
[1,2,6,3,7,4,5,8] => 0010100 => [2,1,1,1,2] => 207
[1,2,6,7,3,4,5,8] => 0001000 => [3,1,3] => 69
[6,1,2,3,4,7,5,8] => 1000010 => [1,4,1,1] => 107
[1,6,2,3,4,7,5,8] => 0100010 => [1,1,3,1,1] => 233
[1,2,6,3,4,7,5,8] => 0010010 => [2,1,2,1,1] => 252
[1,2,3,6,4,7,5,8] => 0001010 => [3,1,1,1,1] => 165
[1,2,3,6,7,4,5,8] => 0000100 => [4,1,2] => 55
[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] => 107
[1,2,6,3,4,7,8,5] => 0010001 => [2,1,3,1] => 157
[1,2,3,6,4,7,8,5] => 0001001 => [3,1,2,1] => 137
[1,2,3,6,7,4,8,5] => 0000101 => [4,1,1,1] => 75
[1,2,3,6,7,8,4,5] => 0000010 => [5,1,1] => 27
[6,1,8,2,3,4,5,7] => 1010000 => [1,1,1,4] => 75
[6,8,1,2,3,4,5,7] => 0100000 => [1,1,5] => 27
[6,1,2,8,3,4,5,7] => 1001000 => [1,2,1,3] => 137
[1,6,2,8,3,4,5,7] => 0101000 => [1,1,1,1,3] => 165
[1,6,8,2,3,4,5,7] => 0010000 => [2,1,4] => 55
[6,1,2,3,8,4,5,7] => 1000100 => [1,3,1,2] => 157
[1,6,2,3,8,4,5,7] => 0100100 => [1,1,2,1,2] => 252
[1,2,6,3,8,4,5,7] => 0010100 => [2,1,1,1,2] => 207
[1,2,6,8,3,4,5,7] => 0001000 => [3,1,3] => 69
[6,1,2,3,4,8,5,7] => 1000010 => [1,4,1,1] => 107
[1,6,2,3,4,8,5,7] => 0100010 => [1,1,3,1,1] => 233
[1,2,6,3,4,8,5,7] => 0010010 => [2,1,2,1,1] => 252
[1,2,3,6,4,8,5,7] => 0001010 => [3,1,1,1,1] => 165
[1,2,3,6,8,4,5,7] => 0000100 => [4,1,2] => 55
[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] => 107
[1,2,6,3,4,5,8,7] => 0010001 => [2,1,3,1] => 157
[1,2,3,6,4,5,8,7] => 0001001 => [3,1,2,1] => 137
[1,2,3,4,6,8,5,7] => 0000010 => [5,1,1] => 27
[1,6,2,3,4,5,7,8] => 0100000 => [1,1,5] => 27
[1,2,6,3,4,5,7,8] => 0010000 => [2,1,4] => 55
[1,2,3,6,4,5,7,8] => 0001000 => [3,1,3] => 69
[7,1,8,2,3,4,5,6] => 1010000 => [1,1,1,4] => 75
[7,1,2,8,3,4,5,6] => 1001000 => [1,2,1,3] => 137
[1,7,2,8,3,4,5,6] => 0101000 => [1,1,1,1,3] => 165
[1,7,8,2,3,4,5,6] => 0010000 => [2,1,4] => 55
[7,1,2,3,8,4,5,6] => 1000100 => [1,3,1,2] => 157
[1,7,2,3,8,4,5,6] => 0100100 => [1,1,2,1,2] => 252
[1,2,7,3,8,4,5,6] => 0010100 => [2,1,1,1,2] => 207
[1,2,7,8,3,4,5,6] => 0001000 => [3,1,3] => 69
[7,1,2,3,4,8,5,6] => 1000010 => [1,4,1,1] => 107
[1,7,2,3,4,8,5,6] => 0100010 => [1,1,3,1,1] => 233
[1,2,7,3,4,8,5,6] => 0010010 => [2,1,2,1,1] => 252
[1,2,3,7,4,8,5,6] => 0001010 => [3,1,1,1,1] => 165
[1,2,3,7,8,4,5,6] => 0000100 => [4,1,2] => 55
[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] => 107
[1,2,7,3,4,5,8,6] => 0010001 => [2,1,3,1] => 157
[1,2,3,7,4,5,8,6] => 0001001 => [3,1,2,1] => 137
[1,2,3,4,7,5,8,6] => 0000101 => [4,1,1,1] => 75
[1,2,3,4,7,8,5,6] => 0000010 => [5,1,1] => 27
[1,7,2,3,4,5,6,8] => 0100000 => [1,1,5] => 27
[1,2,7,3,4,5,6,8] => 0010000 => [2,1,4] => 55
[1,2,3,7,4,5,6,8] => 0001000 => [3,1,3] => 69
[1,2,3,4,7,5,6,8] => 0000100 => [4,1,2] => 55
[1,8,2,3,4,5,6,7] => 0100000 => [1,1,5] => 27
[1,2,8,3,4,5,6,7] => 0010000 => [2,1,4] => 55
[1,2,3,8,4,5,6,7] => 0001000 => [3,1,3] => 69
[1,2,3,4,8,5,6,7] => 0000100 => [4,1,2] => 55
[1,2,3,4,5,8,6,7] => 0000010 => [5,1,1] => 27
[5,3,2,6,1,4,8,7] => 1101001 => [2,1,1,2,1] => 241
[7,3,2,5,4,8,1,6] => 1101010 => [2,1,1,1,1,1] => 297
[8,4,5,2,3,7,6,1] => 1010011 => [1,1,1,2,2] => 255
[7,4,5,2,3,8,1,6] => 1010010 => [1,1,1,2,1,1] => 359
[6,4,5,2,3,1,8,7] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,4,6,2,1,3,8,7] => 1011001 => [1,1,2,2,1] => 295
[3,6,1,5,4,2,8,7] => 0101101 => [1,1,1,2,1,1] => 359
[4,6,5,1,3,2,8,7] => 0110101 => [1,2,1,1,1,1] => 345
[5,6,4,3,1,2,8,7] => 0111001 => [1,3,2,1] => 185
[7,5,4,3,2,8,1,6] => 1111010 => [4,1,1,1] => 75
[8,6,4,3,7,2,5,1] => 1110101 => [3,1,1,1,1] => 165
[7,6,4,3,8,2,1,5] => 1110110 => [3,1,2,1] => 137
[6,7,4,3,8,1,2,5] => 0110100 => [1,2,1,1,2] => 241
[5,7,4,3,1,8,2,6] => 0111010 => [1,3,1,1,1] => 219
[4,7,5,1,3,8,2,6] => 0110010 => [1,2,2,1,1] => 295
[3,7,1,5,4,8,2,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,1,7,5,4,8,3,6] => 1011010 => [1,1,2,1,1,1] => 359
[3,8,1,5,4,7,6,2] => 0101011 => [1,1,1,1,1,2] => 297
[4,8,5,1,3,7,6,2] => 0110011 => [1,2,2,2] => 211
[5,8,4,3,1,7,6,2] => 0111011 => [1,3,1,2] => 157
[6,8,4,3,7,1,5,2] => 0110101 => [1,2,1,1,1,1] => 345
[7,8,4,3,6,5,1,2] => 0110110 => [1,2,1,2,1] => 281
[6,8,5,7,3,1,4,2] => 0101101 => [1,1,1,2,1,1] => 359
[5,8,6,7,1,3,4,2] => 0101001 => [1,1,1,1,2,1] => 345
[4,8,6,1,7,3,5,2] => 0110101 => [1,2,1,1,1,1] => 345
[3,8,1,6,7,4,5,2] => 0100101 => [1,1,2,1,1,1] => 359
[2,1,8,6,7,4,5,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[2,1,7,6,8,4,3,5] => 1010110 => [1,1,1,1,2,1] => 345
[3,7,1,6,8,4,2,5] => 0100110 => [1,1,2,2,1] => 295
[4,7,6,1,8,3,2,5] => 0110110 => [1,2,1,2,1] => 281
[5,7,6,8,1,3,2,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,4,7,2,1,8,3,6] => 1011010 => [1,1,2,1,1,1] => 359
[6,4,7,2,8,1,3,5] => 1010100 => [1,1,1,1,1,2] => 297
[7,4,6,2,8,3,1,5] => 1010110 => [1,1,1,1,2,1] => 345
[8,4,6,2,7,3,5,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,3,2,6,7,4,5,1] => 1100101 => [2,2,1,1,1] => 255
[7,3,2,6,8,4,1,5] => 1100110 => [2,2,2,1] => 211
[6,3,2,7,8,1,4,5] => 1100100 => [2,2,1,2] => 180
[5,3,2,7,1,8,4,6] => 1101010 => [2,1,1,1,1,1] => 297
[4,3,2,1,7,8,5,6] => 1110010 => [3,2,1,1] => 145
[3,4,1,2,8,7,6,5] => 0100111 => [1,1,2,3] => 145
[5,3,2,8,1,7,6,4] => 1101011 => [2,1,1,1,2] => 207
[6,3,2,8,7,1,5,4] => 1101101 => [2,1,2,1,1] => 252
[7,3,2,8,6,5,1,4] => 1101110 => [2,1,3,1] => 157
[8,4,7,2,6,5,3,1] => 1010111 => [1,1,1,1,3] => 165
[7,4,8,2,6,5,1,3] => 1010110 => [1,1,1,1,2,1] => 345
[6,4,8,2,7,1,5,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,4,8,2,1,7,6,3] => 1011011 => [1,1,2,1,2] => 252
[4,5,8,1,2,7,6,3] => 0010011 => [2,1,2,2] => 180
[3,5,1,8,2,7,6,4] => 0101011 => [1,1,1,1,1,2] => 297
[2,1,5,8,3,7,6,4] => 1001011 => [1,2,1,1,2] => 241
[2,1,6,8,7,3,5,4] => 1001101 => [1,2,2,1,1] => 295
[3,6,1,8,7,2,5,4] => 0101101 => [1,1,1,2,1,1] => 359
[4,6,8,1,7,2,5,3] => 0010101 => [2,1,1,1,1,1] => 297
[5,6,8,7,1,2,4,3] => 0011001 => [2,2,2,1] => 211
[6,5,8,7,2,1,4,3] => 1011101 => [1,1,3,1,1] => 233
[7,5,8,6,2,4,1,3] => 1011010 => [1,1,2,1,1,1] => 359
[8,5,7,6,2,4,3,1] => 1011011 => [1,1,2,1,2] => 252
[5,7,8,6,1,4,2,3] => 0011010 => [2,2,1,1,1] => 255
[4,7,8,1,6,5,2,3] => 0010110 => [2,1,1,2,1] => 241
[3,7,1,8,6,5,2,4] => 0101110 => [1,1,1,3,1] => 219
[2,1,7,8,6,5,3,4] => 1001110 => [1,2,3,1] => 185
[3,8,1,7,6,5,4,2] => 0101111 => [1,1,1,4] => 75
[4,8,7,1,6,5,3,2] => 0110111 => [1,2,1,3] => 137
[5,8,7,6,1,4,3,2] => 0111011 => [1,3,1,2] => 157
[6,8,7,5,4,1,3,2] => 0111101 => [1,4,1,1] => 107
[2,1,4,3,6,5,8,7,10,9] => 101010101 => [1,1,1,1,1,1,1,1,1] => 4862
[3,4,1,2,6,5,8,7,10,9] => 010010101 => [1,1,2,1,1,1,1,1] => 4202
[4,3,2,1,6,5,8,7,10,9] => 111010101 => [3,1,1,1,1,1,1] => 2002
[6,3,2,5,4,1,8,7,10,9] => 110110101 => [2,1,2,1,1,1,1] => 3054
[8,3,2,5,4,7,6,1,10,9] => 110101101 => [2,1,1,1,2,1,1] => 2982
[10,3,2,5,4,7,6,9,8,1] => 110101011 => [2,1,1,1,1,1,2] => 2431
[4,5,6,1,2,3,8,7,10,9] => 001000101 => [2,1,3,1,1,1] => 2256
[3,5,1,6,2,4,8,7,10,9] => 010100101 => [1,1,1,1,2,1,1,1] => 4274
[2,1,5,6,3,4,8,7,10,9] => 100100101 => [1,2,1,2,1,1,1] => 3556
[2,1,6,5,4,3,8,7,10,9] => 101110101 => [1,1,3,1,1,1,1] => 3014
[6,5,4,3,2,1,8,7,10,9] => 111110101 => [5,1,1,1,1] => 429
[8,5,4,3,2,7,6,1,10,9] => 111101101 => [4,1,2,1,1] => 901
[10,5,4,3,2,7,6,9,8,1] => 111101011 => [4,1,1,1,2] => 726
[2,1,8,5,4,7,6,3,10,9] => 101101101 => [1,1,2,1,2,1,1] => 3667
[8,7,4,3,6,5,2,1,10,9] => 111011101 => [3,1,3,1,1] => 1330
[10,7,4,3,6,5,2,9,8,1] => 111011011 => [3,1,2,1,2] => 1304
[2,1,10,5,4,7,6,9,8,3] => 101101011 => [1,1,2,1,1,1,2] => 2982
[10,9,4,3,6,5,8,7,2,1] => 111010111 => [3,1,1,1,3] => 858
[8,9,5,6,3,4,10,1,2,7] => 010100100 => [1,1,1,1,2,1,2] => 3054
[5,6,7,8,1,2,3,4,10,9] => 000100001 => [3,1,4,1] => 709
[4,6,7,1,8,2,3,5,10,9] => 001010001 => [2,1,1,1,3,1] => 1947
[3,6,1,7,8,2,4,5,10,9] => 010010001 => [1,1,2,1,3,1] => 2407
[2,1,6,7,8,3,4,5,10,9] => 100010001 => [1,3,1,3,1] => 1622
[2,1,5,7,3,8,4,6,10,9] => 100101001 => [1,2,1,1,1,2,1] => 3314
[3,5,1,7,2,8,4,6,10,9] => 010101001 => [1,1,1,1,1,1,2,1] => 4004
[4,5,7,1,2,8,3,6,10,9] => 001001001 => [2,1,2,1,2,1] => 2550
[3,4,1,2,7,8,5,6,10,9] => 010001001 => [1,1,3,1,2,1] => 2548
[2,1,4,3,7,8,5,6,10,9] => 101001001 => [1,1,1,2,1,2,1] => 3556
[2,1,4,3,8,7,6,5,10,9] => 101011101 => [1,1,1,1,3,1,1] => 3014
[4,3,2,1,8,7,6,5,10,9] => 111011101 => [3,1,3,1,1] => 1330
[8,3,2,7,6,5,4,1,10,9] => 110111101 => [2,1,4,1,1] => 1304
[10,3,2,7,6,5,4,9,8,1] => 110111011 => [2,1,3,1,2] => 1647
[2,1,8,7,6,5,4,3,10,9] => 101111101 => [1,1,5,1,1] => 794
[8,7,6,5,4,3,2,1,10,9] => 111111101 => [7,1,1] => 44
[9,7,6,5,4,3,2,10,1,8] => 111111010 => [6,1,1,1] => 154
[10,7,6,5,4,3,2,9,8,1] => 111111011 => [6,1,2] => 119
[2,1,10,7,6,5,4,9,8,3] => 101111011 => [1,1,4,1,2] => 1304
[10,9,6,5,4,3,8,7,2,1] => 111110111 => [5,1,3] => 209
[2,1,4,3,10,7,6,9,8,5] => 101011011 => [1,1,1,1,2,1,2] => 3054
[4,3,2,1,10,7,6,9,8,5] => 111011011 => [3,1,2,1,2] => 1304
[10,3,2,9,6,5,8,7,4,1] => 110110111 => [2,1,2,1,3] => 1304
[2,1,10,9,6,5,8,7,4,3] => 101110111 => [1,1,3,1,3] => 1330
[10,9,8,5,4,7,6,3,2,1] => 111101111 => [4,1,4] => 251
[10,8,9,6,7,4,5,2,3,1] => 101010101 => [1,1,1,1,1,1,1,1,1] => 4862
[2,1,7,8,9,10,3,4,5,6] => 100001000 => [1,4,1,3] => 709
[3,7,1,8,9,10,2,4,5,6] => 010001000 => [1,1,3,1,3] => 1330
[4,7,8,1,9,10,2,3,5,6] => 001001000 => [2,1,2,1,3] => 1304
[5,7,8,9,1,10,2,3,4,6] => 000101000 => [3,1,1,1,3] => 858
[6,7,8,9,10,1,2,3,4,5] => 000010000 => [4,1,4] => 251
[5,6,8,9,1,2,10,3,4,7] => 000100100 => [3,1,2,1,2] => 1304
[4,6,8,1,9,2,10,3,5,7] => 001010100 => [2,1,1,1,1,1,2] => 2431
[3,6,1,8,9,2,10,4,5,7] => 010010100 => [1,1,2,1,1,1,2] => 2982
[2,1,6,8,9,3,10,4,5,7] => 100010100 => [1,3,1,1,1,2] => 1947
[2,1,5,8,3,9,10,4,6,7] => 100100100 => [1,2,1,2,1,2] => 2550
[3,5,1,8,2,9,10,4,6,7] => 010100100 => [1,1,1,1,2,1,2] => 3054
[4,5,8,1,2,9,10,3,6,7] => 001000100 => [2,1,3,1,2] => 1647
[7,3,2,8,9,10,1,4,5,6] => 110001000 => [2,3,1,3] => 998
[3,4,1,2,8,9,10,5,6,7] => 010000100 => [1,1,4,1,2] => 1304
[2,1,4,3,8,9,10,5,6,7] => 101000100 => [1,1,1,3,1,2] => 2256
[2,1,4,3,7,9,5,10,6,8] => 101001010 => [1,1,1,2,1,1,1,1] => 4274
[3,4,1,2,7,9,5,10,6,8] => 010001010 => [1,1,3,1,1,1,1] => 3014
[4,5,7,1,2,9,3,10,6,8] => 001001010 => [2,1,2,1,1,1,1] => 3054
[3,5,1,7,2,9,4,10,6,8] => 010101010 => [1,1,1,1,1,1,1,1,1] => 4862
[2,1,5,7,3,9,4,10,6,8] => 100101010 => [1,2,1,1,1,1,1,1] => 4004
[2,1,6,7,9,3,4,10,5,8] => 100010010 => [1,3,1,2,1,1] => 2407
[3,6,1,7,9,2,4,10,5,8] => 010010010 => [1,1,2,1,2,1,1] => 3667
[4,6,7,1,9,2,3,10,5,8] => 001010010 => [2,1,1,1,2,1,1] => 2982
[5,6,7,9,1,2,3,10,4,8] => 000100010 => [3,1,3,1,1] => 1330
[8,5,4,3,2,9,10,1,6,7] => 111100100 => [4,2,1,2] => 681
[2,1,5,6,3,4,9,10,7,8] => 100100010 => [1,2,1,3,1,1] => 2548
[3,5,1,6,2,4,9,10,7,8] => 010100010 => [1,1,1,1,3,1,1] => 3014
[4,5,6,1,2,3,9,10,7,8] => 001000010 => [2,1,4,1,1] => 1304
[3,4,1,2,6,5,9,10,7,8] => 010010010 => [1,1,2,1,2,1,1] => 3667
[2,1,4,3,6,5,9,10,7,8] => 101010010 => [1,1,1,1,1,2,1,1] => 4202
[2,1,4,3,6,5,10,9,8,7] => 101010111 => [1,1,1,1,1,1,3] => 2002
[4,3,2,1,6,5,10,9,8,7] => 111010111 => [3,1,1,1,3] => 858
[6,3,2,5,4,1,10,9,8,7] => 110110111 => [2,1,2,1,3] => 1304
[10,3,2,5,4,9,8,7,6,1] => 110101111 => [2,1,1,1,4] => 726
[2,1,6,5,4,3,10,9,8,7] => 101110111 => [1,1,3,1,3] => 1330
[6,5,4,3,2,1,10,9,8,7] => 111110111 => [5,1,3] => 209
[10,5,4,3,2,9,8,7,6,1] => 111101111 => [4,1,4] => 251
[2,1,10,5,4,9,8,7,6,3] => 101101111 => [1,1,2,1,4] => 901
[10,9,4,3,8,7,6,5,2,1] => 111011111 => [3,1,5] => 209
[9,7,5,10,3,8,2,6,1,4] => 110101010 => [2,1,1,1,1,1,1,1] => 3432
[2,1,4,3,10,9,8,7,6,5] => 101011111 => [1,1,1,1,5] => 429
[4,3,2,1,10,9,8,7,6,5] => 111011111 => [3,1,5] => 209
[10,3,2,9,8,7,6,5,4,1] => 110111111 => [2,1,6] => 119
[2,1,10,9,8,7,6,5,4,3] => 101111111 => [1,1,7] => 44
[9,10,8,7,6,5,4,3,1,2] => 011111110 => [1,7,1] => 65
[10,9,8,7,6,5,4,3,2,1] => 111111111 => [9] => 1
[3,2,5,1,4,6,7,8] => 1010000 => [1,1,1,4] => 75
[4,2,5,1,3,6,7,8] => 1010000 => [1,1,1,4] => 75
[5,2,4,1,3,6,7,8] => 1010000 => [1,1,1,4] => 75
[3,2,6,1,4,5,7,8] => 1010000 => [1,1,1,4] => 75
[4,2,6,1,3,5,7,8] => 1010000 => [1,1,1,4] => 75
[5,3,6,1,2,4,7,8] => 1010000 => [1,1,1,4] => 75
[6,2,4,1,3,5,7,8] => 1010000 => [1,1,1,4] => 75
[6,3,5,1,2,4,7,8] => 1010000 => [1,1,1,4] => 75
[5,2,7,1,3,4,6,8] => 1010000 => [1,1,1,4] => 75
[5,3,7,1,2,4,6,8] => 1010000 => [1,1,1,4] => 75
[5,4,7,1,2,3,6,8] => 1010000 => [1,1,1,4] => 75
[6,2,7,1,3,4,5,8] => 1010000 => [1,1,1,4] => 75
[6,3,7,1,2,4,5,8] => 1010000 => [1,1,1,4] => 75
[6,4,7,1,2,3,5,8] => 1010000 => [1,1,1,4] => 75
[7,3,5,1,2,4,6,8] => 1010000 => [1,1,1,4] => 75
[7,3,6,1,2,4,5,8] => 1010000 => [1,1,1,4] => 75
[7,4,6,1,2,3,5,8] => 1010000 => [1,1,1,4] => 75
[3,2,8,1,4,5,6,7] => 1010000 => [1,1,1,4] => 75
[4,2,8,1,3,5,6,7] => 1010000 => [1,1,1,4] => 75
[5,2,8,1,3,4,6,7] => 1010000 => [1,1,1,4] => 75
[5,4,8,1,2,3,6,7] => 1010000 => [1,1,1,4] => 75
[6,2,8,1,3,4,5,7] => 1010000 => [1,1,1,4] => 75
[6,3,8,1,2,4,5,7] => 1010000 => [1,1,1,4] => 75
[6,4,8,1,2,3,5,7] => 1010000 => [1,1,1,4] => 75
[6,5,8,1,2,3,4,7] => 1010000 => [1,1,1,4] => 75
[7,2,8,1,3,4,5,6] => 1010000 => [1,1,1,4] => 75
[7,3,8,1,2,4,5,6] => 1010000 => [1,1,1,4] => 75
[7,4,8,1,2,3,5,6] => 1010000 => [1,1,1,4] => 75
[7,5,8,1,2,3,4,6] => 1010000 => [1,1,1,4] => 75
[8,2,4,1,3,5,6,7] => 1010000 => [1,1,1,4] => 75
[8,3,5,1,2,4,6,7] => 1010000 => [1,1,1,4] => 75
[8,3,6,1,2,4,5,7] => 1010000 => [1,1,1,4] => 75
[8,3,7,1,2,4,5,6] => 1010000 => [1,1,1,4] => 75
[8,4,7,1,2,3,5,6] => 1010000 => [1,1,1,4] => 75
[8,5,7,1,2,3,4,6] => 1010000 => [1,1,1,4] => 75
[3,2,5,7,1,4,6,8] => 1001000 => [1,2,1,3] => 137
[4,2,5,7,1,3,6,8] => 1001000 => [1,2,1,3] => 137
[4,3,5,7,1,2,6,8] => 1001000 => [1,2,1,3] => 137
[5,2,4,7,1,3,6,8] => 1001000 => [1,2,1,3] => 137
[5,3,4,7,1,2,6,8] => 1001000 => [1,2,1,3] => 137
[4,2,6,7,1,3,5,8] => 1001000 => [1,2,1,3] => 137
[5,2,6,7,1,3,4,8] => 1001000 => [1,2,1,3] => 137
[5,3,6,7,1,2,4,8] => 1001000 => [1,2,1,3] => 137
[6,2,5,7,1,3,4,8] => 1001000 => [1,2,1,3] => 137
[6,3,5,7,1,2,4,8] => 1001000 => [1,2,1,3] => 137
[7,2,4,6,1,3,5,8] => 1001000 => [1,2,1,3] => 137
[7,3,4,6,1,2,5,8] => 1001000 => [1,2,1,3] => 137
[7,3,5,6,1,2,4,8] => 1001000 => [1,2,1,3] => 137
[3,2,5,8,1,4,6,7] => 1001000 => [1,2,1,3] => 137
[4,2,5,8,1,3,6,7] => 1001000 => [1,2,1,3] => 137
[4,3,5,8,1,2,6,7] => 1001000 => [1,2,1,3] => 137
[5,2,4,8,1,3,6,7] => 1001000 => [1,2,1,3] => 137
[3,2,6,8,1,4,5,7] => 1001000 => [1,2,1,3] => 137
[4,2,6,8,1,3,5,7] => 1001000 => [1,2,1,3] => 137
[4,3,6,8,1,2,5,7] => 1001000 => [1,2,1,3] => 137
[5,2,6,8,1,3,4,7] => 1001000 => [1,2,1,3] => 137
[6,2,4,8,1,3,5,7] => 1001000 => [1,2,1,3] => 137
[6,3,4,8,1,2,5,7] => 1001000 => [1,2,1,3] => 137
[6,2,5,8,1,3,4,7] => 1001000 => [1,2,1,3] => 137
[6,3,5,8,1,2,4,7] => 1001000 => [1,2,1,3] => 137
[6,4,5,8,1,2,3,7] => 1001000 => [1,2,1,3] => 137
[3,2,7,8,1,4,5,6] => 1001000 => [1,2,1,3] => 137
[4,3,7,8,1,2,5,6] => 1001000 => [1,2,1,3] => 137
[5,3,7,8,1,2,4,6] => 1001000 => [1,2,1,3] => 137
[6,2,7,8,1,3,4,5] => 1001000 => [1,2,1,3] => 137
[6,3,7,8,1,2,4,5] => 1001000 => [1,2,1,3] => 137
[6,4,7,8,1,2,3,5] => 1001000 => [1,2,1,3] => 137
[7,2,4,8,1,3,5,6] => 1001000 => [1,2,1,3] => 137
[7,3,4,8,1,2,5,6] => 1001000 => [1,2,1,3] => 137
[7,3,5,8,1,2,4,6] => 1001000 => [1,2,1,3] => 137
[7,4,5,8,1,2,3,6] => 1001000 => [1,2,1,3] => 137
[7,4,6,8,1,2,3,5] => 1001000 => [1,2,1,3] => 137
[8,2,4,6,1,3,5,7] => 1001000 => [1,2,1,3] => 137
[8,3,4,6,1,2,5,7] => 1001000 => [1,2,1,3] => 137
[8,2,5,6,1,3,4,7] => 1001000 => [1,2,1,3] => 137
[8,3,5,6,1,2,4,7] => 1001000 => [1,2,1,3] => 137
[8,2,4,7,1,3,5,6] => 1001000 => [1,2,1,3] => 137
[8,2,5,7,1,3,4,6] => 1001000 => [1,2,1,3] => 137
[8,3,5,7,1,2,4,6] => 1001000 => [1,2,1,3] => 137
[8,2,6,7,1,3,4,5] => 1001000 => [1,2,1,3] => 137
[8,4,6,7,1,2,3,5] => 1001000 => [1,2,1,3] => 137
[3,6,2,5,1,4,7,8] => 0101000 => [1,1,1,1,3] => 165
[4,6,2,5,1,3,7,8] => 0101000 => [1,1,1,1,3] => 165
[4,6,3,5,1,2,7,8] => 0101000 => [1,1,1,1,3] => 165
[3,7,2,5,1,4,6,8] => 0101000 => [1,1,1,1,3] => 165
[4,7,3,5,1,2,6,8] => 0101000 => [1,1,1,1,3] => 165
[5,7,2,4,1,3,6,8] => 0101000 => [1,1,1,1,3] => 165
[5,7,3,4,1,2,6,8] => 0101000 => [1,1,1,1,3] => 165
[3,7,2,6,1,4,5,8] => 0101000 => [1,1,1,1,3] => 165
[4,7,3,6,1,2,5,8] => 0101000 => [1,1,1,1,3] => 165
[5,7,2,6,1,3,4,8] => 0101000 => [1,1,1,1,3] => 165
[5,7,3,6,1,2,4,8] => 0101000 => [1,1,1,1,3] => 165
[6,7,2,5,1,3,4,8] => 0101000 => [1,1,1,1,3] => 165
[4,8,2,5,1,3,6,7] => 0101000 => [1,1,1,1,3] => 165
[5,8,2,4,1,3,6,7] => 0101000 => [1,1,1,1,3] => 165
[5,8,3,4,1,2,6,7] => 0101000 => [1,1,1,1,3] => 165
[3,8,2,6,1,4,5,7] => 0101000 => [1,1,1,1,3] => 165
[4,8,2,6,1,3,5,7] => 0101000 => [1,1,1,1,3] => 165
[5,8,3,6,1,2,4,7] => 0101000 => [1,1,1,1,3] => 165
[5,8,4,6,1,2,3,7] => 0101000 => [1,1,1,1,3] => 165
[6,8,2,4,1,3,5,7] => 0101000 => [1,1,1,1,3] => 165
[6,8,3,4,1,2,5,7] => 0101000 => [1,1,1,1,3] => 165
[6,8,3,5,1,2,4,7] => 0101000 => [1,1,1,1,3] => 165
[6,8,4,5,1,2,3,7] => 0101000 => [1,1,1,1,3] => 165
[3,8,2,7,1,4,5,6] => 0101000 => [1,1,1,1,3] => 165
[4,8,2,7,1,3,5,6] => 0101000 => [1,1,1,1,3] => 165
[4,8,3,7,1,2,5,6] => 0101000 => [1,1,1,1,3] => 165
[5,8,2,7,1,3,4,6] => 0101000 => [1,1,1,1,3] => 165
[5,8,3,7,1,2,4,6] => 0101000 => [1,1,1,1,3] => 165
[5,8,4,7,1,2,3,6] => 0101000 => [1,1,1,1,3] => 165
[6,8,2,7,1,3,4,5] => 0101000 => [1,1,1,1,3] => 165
[6,8,3,7,1,2,4,5] => 0101000 => [1,1,1,1,3] => 165
[6,8,5,7,1,2,3,4] => 0101000 => [1,1,1,1,3] => 165
[7,8,2,4,1,3,5,6] => 0101000 => [1,1,1,1,3] => 165
[7,8,2,5,1,3,4,6] => 0101000 => [1,1,1,1,3] => 165
[7,8,3,5,1,2,4,6] => 0101000 => [1,1,1,1,3] => 165
[7,8,4,6,1,2,3,5] => 0101000 => [1,1,1,1,3] => 165
[4,3,2,6,1,5,7,8] => 1101000 => [2,1,1,3] => 117
[5,3,2,6,1,4,7,8] => 1101000 => [2,1,1,3] => 117
[6,3,2,5,1,4,7,8] => 1101000 => [2,1,1,3] => 117
[6,4,2,5,1,3,7,8] => 1101000 => [2,1,1,3] => 117
[6,5,2,4,1,3,7,8] => 1101000 => [2,1,1,3] => 117
[4,3,2,7,1,5,6,8] => 1101000 => [2,1,1,3] => 117
[5,3,2,7,1,4,6,8] => 1101000 => [2,1,1,3] => 117
[5,4,3,7,1,2,6,8] => 1101000 => [2,1,1,3] => 117
[6,3,2,7,1,4,5,8] => 1101000 => [2,1,1,3] => 117
[6,4,2,7,1,3,5,8] => 1101000 => [2,1,1,3] => 117
[6,4,3,7,1,2,5,8] => 1101000 => [2,1,1,3] => 117
[6,5,3,7,1,2,4,8] => 1101000 => [2,1,1,3] => 117
[7,3,2,5,1,4,6,8] => 1101000 => [2,1,1,3] => 117
[7,4,2,5,1,3,6,8] => 1101000 => [2,1,1,3] => 117
[7,3,2,6,1,4,5,8] => 1101000 => [2,1,1,3] => 117
[7,4,2,6,1,3,5,8] => 1101000 => [2,1,1,3] => 117
[7,4,3,6,1,2,5,8] => 1101000 => [2,1,1,3] => 117
[7,5,2,6,1,3,4,8] => 1101000 => [2,1,1,3] => 117
[7,5,3,6,1,2,4,8] => 1101000 => [2,1,1,3] => 117
[7,6,3,5,1,2,4,8] => 1101000 => [2,1,1,3] => 117
[4,3,2,8,1,5,6,7] => 1101000 => [2,1,1,3] => 117
[5,3,2,8,1,4,6,7] => 1101000 => [2,1,1,3] => 117
[5,4,3,8,1,2,6,7] => 1101000 => [2,1,1,3] => 117
[6,3,2,8,1,4,5,7] => 1101000 => [2,1,1,3] => 117
[6,4,2,8,1,3,5,7] => 1101000 => [2,1,1,3] => 117
[6,4,3,8,1,2,5,7] => 1101000 => [2,1,1,3] => 117
[6,5,2,8,1,3,4,7] => 1101000 => [2,1,1,3] => 117
[6,5,3,8,1,2,4,7] => 1101000 => [2,1,1,3] => 117
[6,5,4,8,1,2,3,7] => 1101000 => [2,1,1,3] => 117
[7,3,2,8,1,4,5,6] => 1101000 => [2,1,1,3] => 117
[7,4,2,8,1,3,5,6] => 1101000 => [2,1,1,3] => 117
[7,4,3,8,1,2,5,6] => 1101000 => [2,1,1,3] => 117
[7,5,3,8,1,2,4,6] => 1101000 => [2,1,1,3] => 117
[7,5,4,8,1,2,3,6] => 1101000 => [2,1,1,3] => 117
[7,6,2,8,1,3,4,5] => 1101000 => [2,1,1,3] => 117
[8,3,2,5,1,4,6,7] => 1101000 => [2,1,1,3] => 117
[8,4,2,5,1,3,6,7] => 1101000 => [2,1,1,3] => 117
[8,3,2,6,1,4,5,7] => 1101000 => [2,1,1,3] => 117
[8,4,2,6,1,3,5,7] => 1101000 => [2,1,1,3] => 117
[8,5,3,6,1,2,4,7] => 1101000 => [2,1,1,3] => 117
[8,6,2,4,1,3,5,7] => 1101000 => [2,1,1,3] => 117
[8,6,2,5,1,3,4,7] => 1101000 => [2,1,1,3] => 117
[8,3,2,7,1,4,5,6] => 1101000 => [2,1,1,3] => 117
[8,4,2,7,1,3,5,6] => 1101000 => [2,1,1,3] => 117
[8,4,3,7,1,2,5,6] => 1101000 => [2,1,1,3] => 117
[8,5,2,7,1,3,4,6] => 1101000 => [2,1,1,3] => 117
[8,5,3,7,1,2,4,6] => 1101000 => [2,1,1,3] => 117
[8,5,4,7,1,2,3,6] => 1101000 => [2,1,1,3] => 117
[8,6,3,7,1,2,4,5] => 1101000 => [2,1,1,3] => 117
[8,7,2,4,1,3,5,6] => 1101000 => [2,1,1,3] => 117
[8,7,2,5,1,3,4,6] => 1101000 => [2,1,1,3] => 117
[8,7,3,5,1,2,4,6] => 1101000 => [2,1,1,3] => 117
[8,7,2,6,1,3,4,5] => 1101000 => [2,1,1,3] => 117
[8,7,3,6,1,2,4,5] => 1101000 => [2,1,1,3] => 117
[8,7,4,6,1,2,3,5] => 1101000 => [2,1,1,3] => 117
[3,6,2,5,8,1,4,7] => 0100100 => [1,1,2,1,2] => 252
[4,6,3,5,8,1,2,7] => 0100100 => [1,1,2,1,2] => 252
[5,6,2,4,8,1,3,7] => 0100100 => [1,1,2,1,2] => 252
[4,7,2,5,8,1,3,6] => 0100100 => [1,1,2,1,2] => 252
[4,7,3,5,8,1,2,6] => 0100100 => [1,1,2,1,2] => 252
[5,7,2,4,8,1,3,6] => 0100100 => [1,1,2,1,2] => 252
[5,7,3,4,8,1,2,6] => 0100100 => [1,1,2,1,2] => 252
[3,7,2,6,8,1,4,5] => 0100100 => [1,1,2,1,2] => 252
[4,7,3,6,8,1,2,5] => 0100100 => [1,1,2,1,2] => 252
[5,7,2,6,8,1,3,4] => 0100100 => [1,1,2,1,2] => 252
[5,7,4,6,8,1,2,3] => 0100100 => [1,1,2,1,2] => 252
[6,7,3,4,8,1,2,5] => 0100100 => [1,1,2,1,2] => 252
[6,7,3,5,8,1,2,4] => 0100100 => [1,1,2,1,2] => 252
[3,8,2,5,7,1,4,6] => 0100100 => [1,1,2,1,2] => 252
[4,8,2,5,7,1,3,6] => 0100100 => [1,1,2,1,2] => 252
[4,8,3,5,7,1,2,6] => 0100100 => [1,1,2,1,2] => 252
[5,8,2,4,7,1,3,6] => 0100100 => [1,1,2,1,2] => 252
[3,8,2,6,7,1,4,5] => 0100100 => [1,1,2,1,2] => 252
[4,8,3,6,7,1,2,5] => 0100100 => [1,1,2,1,2] => 252
[5,8,2,6,7,1,3,4] => 0100100 => [1,1,2,1,2] => 252
[5,8,3,6,7,1,2,4] => 0100100 => [1,1,2,1,2] => 252
[6,8,2,5,7,1,3,4] => 0100100 => [1,1,2,1,2] => 252
[6,8,3,5,7,1,2,4] => 0100100 => [1,1,2,1,2] => 252
[6,8,4,5,7,1,2,3] => 0100100 => [1,1,2,1,2] => 252
[7,8,2,4,6,1,3,5] => 0100100 => [1,1,2,1,2] => 252
[7,8,2,5,6,1,3,4] => 0100100 => [1,1,2,1,2] => 252
[7,8,3,5,6,1,2,4] => 0100100 => [1,1,2,1,2] => 252
[4,3,2,6,8,1,5,7] => 1100100 => [2,2,1,2] => 180
[5,3,2,6,8,1,4,7] => 1100100 => [2,2,1,2] => 180
[5,4,2,6,8,1,3,7] => 1100100 => [2,2,1,2] => 180
[5,4,3,6,8,1,2,7] => 1100100 => [2,2,1,2] => 180
[6,3,2,5,8,1,4,7] => 1100100 => [2,2,1,2] => 180
[6,4,3,5,8,1,2,7] => 1100100 => [2,2,1,2] => 180
[6,5,2,4,8,1,3,7] => 1100100 => [2,2,1,2] => 180
[4,3,2,7,8,1,5,6] => 1100100 => [2,2,1,2] => 180
[5,3,2,7,8,1,4,6] => 1100100 => [2,2,1,2] => 180
[5,4,2,7,8,1,3,6] => 1100100 => [2,2,1,2] => 180
[5,4,3,7,8,1,2,6] => 1100100 => [2,2,1,2] => 180
[6,4,2,7,8,1,3,5] => 1100100 => [2,2,1,2] => 180
[6,4,3,7,8,1,2,5] => 1100100 => [2,2,1,2] => 180
[6,5,2,7,8,1,3,4] => 1100100 => [2,2,1,2] => 180
[7,4,2,5,8,1,3,6] => 1100100 => [2,2,1,2] => 180
[7,4,3,5,8,1,2,6] => 1100100 => [2,2,1,2] => 180
[7,5,3,4,8,1,2,6] => 1100100 => [2,2,1,2] => 180
[7,3,2,6,8,1,4,5] => 1100100 => [2,2,1,2] => 180
[7,5,2,6,8,1,3,4] => 1100100 => [2,2,1,2] => 180
[7,5,3,6,8,1,2,4] => 1100100 => [2,2,1,2] => 180
[7,6,2,4,8,1,3,5] => 1100100 => [2,2,1,2] => 180
[7,6,3,5,8,1,2,4] => 1100100 => [2,2,1,2] => 180
[8,3,2,5,7,1,4,6] => 1100100 => [2,2,1,2] => 180
[8,4,2,5,7,1,3,6] => 1100100 => [2,2,1,2] => 180
[8,5,2,4,7,1,3,6] => 1100100 => [2,2,1,2] => 180
[8,3,2,6,7,1,4,5] => 1100100 => [2,2,1,2] => 180
[8,4,2,6,7,1,3,5] => 1100100 => [2,2,1,2] => 180
[8,5,2,6,7,1,3,4] => 1100100 => [2,2,1,2] => 180
[8,5,3,6,7,1,2,4] => 1100100 => [2,2,1,2] => 180
[8,6,2,4,7,1,3,5] => 1100100 => [2,2,1,2] => 180
[8,6,3,5,7,1,2,4] => 1100100 => [2,2,1,2] => 180
[8,7,2,4,6,1,3,5] => 1100100 => [2,2,1,2] => 180
[8,7,3,4,6,1,2,5] => 1100100 => [2,2,1,2] => 180
[8,7,2,5,6,1,3,4] => 1100100 => [2,2,1,2] => 180
[8,7,3,5,6,1,2,4] => 1100100 => [2,2,1,2] => 180
[4,3,7,2,6,1,5,8] => 1010100 => [1,1,1,1,1,2] => 297
[5,3,7,2,6,1,4,8] => 1010100 => [1,1,1,1,1,2] => 297
[5,4,7,2,6,1,3,8] => 1010100 => [1,1,1,1,1,2] => 297
[6,3,7,2,5,1,4,8] => 1010100 => [1,1,1,1,1,2] => 297
[6,4,7,2,5,1,3,8] => 1010100 => [1,1,1,1,1,2] => 297
[6,4,7,3,5,1,2,8] => 1010100 => [1,1,1,1,1,2] => 297
[7,3,6,2,5,1,4,8] => 1010100 => [1,1,1,1,1,2] => 297
[4,3,8,2,6,1,5,7] => 1010100 => [1,1,1,1,1,2] => 297
[5,3,8,2,6,1,4,7] => 1010100 => [1,1,1,1,1,2] => 297
[5,4,8,2,6,1,3,7] => 1010100 => [1,1,1,1,1,2] => 297
[5,4,8,3,6,1,2,7] => 1010100 => [1,1,1,1,1,2] => 297
[6,4,8,2,5,1,3,7] => 1010100 => [1,1,1,1,1,2] => 297
[6,4,8,3,5,1,2,7] => 1010100 => [1,1,1,1,1,2] => 297
[6,5,8,2,4,1,3,7] => 1010100 => [1,1,1,1,1,2] => 297
[6,5,8,3,4,1,2,7] => 1010100 => [1,1,1,1,1,2] => 297
[4,3,8,2,7,1,5,6] => 1010100 => [1,1,1,1,1,2] => 297
[5,3,8,2,7,1,4,6] => 1010100 => [1,1,1,1,1,2] => 297
[5,4,8,2,7,1,3,6] => 1010100 => [1,1,1,1,1,2] => 297
[5,4,8,3,7,1,2,6] => 1010100 => [1,1,1,1,1,2] => 297
[6,3,8,2,7,1,4,5] => 1010100 => [1,1,1,1,1,2] => 297
[6,4,8,2,7,1,3,5] => 1010100 => [1,1,1,1,1,2] => 297
[6,4,8,3,7,1,2,5] => 1010100 => [1,1,1,1,1,2] => 297
[7,3,8,2,5,1,4,6] => 1010100 => [1,1,1,1,1,2] => 297
[7,4,8,3,5,1,2,6] => 1010100 => [1,1,1,1,1,2] => 297
[7,5,8,2,4,1,3,6] => 1010100 => [1,1,1,1,1,2] => 297
[7,5,8,3,4,1,2,6] => 1010100 => [1,1,1,1,1,2] => 297
[7,3,8,2,6,1,4,5] => 1010100 => [1,1,1,1,1,2] => 297
[7,4,8,2,6,1,3,5] => 1010100 => [1,1,1,1,1,2] => 297
[7,5,8,2,6,1,3,4] => 1010100 => [1,1,1,1,1,2] => 297
[7,5,8,3,6,1,2,4] => 1010100 => [1,1,1,1,1,2] => 297
[7,5,8,4,6,1,2,3] => 1010100 => [1,1,1,1,1,2] => 297
[7,6,8,2,5,1,3,4] => 1010100 => [1,1,1,1,1,2] => 297
[7,6,8,3,5,1,2,4] => 1010100 => [1,1,1,1,1,2] => 297
[8,3,6,2,5,1,4,7] => 1010100 => [1,1,1,1,1,2] => 297
[8,5,6,2,4,1,3,7] => 1010100 => [1,1,1,1,1,2] => 297
[8,3,7,2,5,1,4,6] => 1010100 => [1,1,1,1,1,2] => 297
[8,5,7,2,4,1,3,6] => 1010100 => [1,1,1,1,1,2] => 297
[8,3,7,2,6,1,4,5] => 1010100 => [1,1,1,1,1,2] => 297
[8,4,7,2,6,1,3,5] => 1010100 => [1,1,1,1,1,2] => 297
[8,4,7,3,6,1,2,5] => 1010100 => [1,1,1,1,1,2] => 297
[8,5,7,2,6,1,3,4] => 1010100 => [1,1,1,1,1,2] => 297
[8,6,7,2,4,1,3,5] => 1010100 => [1,1,1,1,1,2] => 297
[8,6,7,2,5,1,3,4] => 1010100 => [1,1,1,1,1,2] => 297
[8,6,7,3,5,1,2,4] => 1010100 => [1,1,1,1,1,2] => 297
[5,4,3,2,7,1,6,8] => 1110100 => [3,1,1,2] => 117
[6,4,3,2,7,1,5,8] => 1110100 => [3,1,1,2] => 117
[6,5,3,2,7,1,4,8] => 1110100 => [3,1,1,2] => 117
[6,5,4,2,7,1,3,8] => 1110100 => [3,1,1,2] => 117
[7,5,3,2,6,1,4,8] => 1110100 => [3,1,1,2] => 117
[7,5,4,2,6,1,3,8] => 1110100 => [3,1,1,2] => 117
[7,6,3,2,5,1,4,8] => 1110100 => [3,1,1,2] => 117
[5,4,3,2,8,1,6,7] => 1110100 => [3,1,1,2] => 117
[6,5,3,2,8,1,4,7] => 1110100 => [3,1,1,2] => 117
[6,5,4,2,8,1,3,7] => 1110100 => [3,1,1,2] => 117
[6,5,4,3,8,1,2,7] => 1110100 => [3,1,1,2] => 117
[7,5,3,2,8,1,4,6] => 1110100 => [3,1,1,2] => 117
[7,5,4,2,8,1,3,6] => 1110100 => [3,1,1,2] => 117
[7,6,3,2,8,1,4,5] => 1110100 => [3,1,1,2] => 117
[7,6,4,3,8,1,2,5] => 1110100 => [3,1,1,2] => 117
[7,6,5,2,8,1,3,4] => 1110100 => [3,1,1,2] => 117
[8,5,3,2,6,1,4,7] => 1110100 => [3,1,1,2] => 117
[8,5,4,2,6,1,3,7] => 1110100 => [3,1,1,2] => 117
[8,6,4,2,5,1,3,7] => 1110100 => [3,1,1,2] => 117
[8,6,5,2,4,1,3,7] => 1110100 => [3,1,1,2] => 117
[8,5,3,2,7,1,4,6] => 1110100 => [3,1,1,2] => 117
[8,6,3,2,7,1,4,5] => 1110100 => [3,1,1,2] => 117
[8,6,4,2,7,1,3,5] => 1110100 => [3,1,1,2] => 117
[8,6,4,3,7,1,2,5] => 1110100 => [3,1,1,2] => 117
[8,7,3,2,6,1,4,5] => 1110100 => [3,1,1,2] => 117
[8,7,4,2,6,1,3,5] => 1110100 => [3,1,1,2] => 117
[8,7,4,3,6,1,2,5] => 1110100 => [3,1,1,2] => 117
[8,7,5,2,6,1,3,4] => 1110100 => [3,1,1,2] => 117
[8,7,6,2,4,1,3,5] => 1110100 => [3,1,1,2] => 117
[8,7,6,2,5,1,3,4] => 1110100 => [3,1,1,2] => 117
[8,7,6,3,5,1,2,4] => 1110100 => [3,1,1,2] => 117
[4,8,3,7,2,6,1,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,8,3,7,2,6,1,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,8,4,7,2,6,1,3] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,8,4,7,3,6,1,2] => 0101010 => [1,1,1,1,1,1,1] => 429
[6,8,3,7,2,5,1,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[6,8,4,7,2,5,1,3] => 0101010 => [1,1,1,1,1,1,1] => 429
[6,8,4,7,3,5,1,2] => 0101010 => [1,1,1,1,1,1,1] => 429
[6,8,5,7,2,4,1,3] => 0101010 => [1,1,1,1,1,1,1] => 429
[6,8,5,7,3,4,1,2] => 0101010 => [1,1,1,1,1,1,1] => 429
[7,8,3,6,2,5,1,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[7,8,4,6,2,5,1,3] => 0101010 => [1,1,1,1,1,1,1] => 429
[7,8,4,6,3,5,1,2] => 0101010 => [1,1,1,1,1,1,1] => 429
[7,8,5,6,2,4,1,3] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,4,3,8,2,7,1,6] => 1101010 => [2,1,1,1,1,1] => 297
[6,4,3,8,2,7,1,5] => 1101010 => [2,1,1,1,1,1] => 297
[6,5,3,8,2,7,1,4] => 1101010 => [2,1,1,1,1,1] => 297
[6,5,4,8,2,7,1,3] => 1101010 => [2,1,1,1,1,1] => 297
[6,5,4,8,3,7,1,2] => 1101010 => [2,1,1,1,1,1] => 297
[7,4,3,8,2,6,1,5] => 1101010 => [2,1,1,1,1,1] => 297
[7,5,3,8,2,6,1,4] => 1101010 => [2,1,1,1,1,1] => 297
[7,5,4,8,2,6,1,3] => 1101010 => [2,1,1,1,1,1] => 297
[7,6,3,8,2,5,1,4] => 1101010 => [2,1,1,1,1,1] => 297
[7,6,4,8,2,5,1,3] => 1101010 => [2,1,1,1,1,1] => 297
[7,6,5,8,2,4,1,3] => 1101010 => [2,1,1,1,1,1] => 297
[8,4,3,7,2,6,1,5] => 1101010 => [2,1,1,1,1,1] => 297
[8,5,3,7,2,6,1,4] => 1101010 => [2,1,1,1,1,1] => 297
[8,5,4,7,2,6,1,3] => 1101010 => [2,1,1,1,1,1] => 297
[8,5,4,7,3,6,1,2] => 1101010 => [2,1,1,1,1,1] => 297
[8,6,3,7,2,5,1,4] => 1101010 => [2,1,1,1,1,1] => 297
[8,6,4,7,2,5,1,3] => 1101010 => [2,1,1,1,1,1] => 297
[8,6,5,7,2,4,1,3] => 1101010 => [2,1,1,1,1,1] => 297
[8,7,3,6,2,5,1,4] => 1101010 => [2,1,1,1,1,1] => 297
[8,7,4,6,2,5,1,3] => 1101010 => [2,1,1,1,1,1] => 297
[8,7,4,6,3,5,1,2] => 1101010 => [2,1,1,1,1,1] => 297
[8,7,5,6,2,4,1,3] => 1101010 => [2,1,1,1,1,1] => 297
[6,5,4,3,2,8,1,7] => 1111010 => [4,1,1,1] => 75
[7,6,4,3,2,8,1,5] => 1111010 => [4,1,1,1] => 75
[7,6,5,4,2,8,1,3] => 1111010 => [4,1,1,1] => 75
[8,5,4,3,2,7,1,6] => 1111010 => [4,1,1,1] => 75
[8,6,4,3,2,7,1,5] => 1111010 => [4,1,1,1] => 75
[8,6,5,3,2,7,1,4] => 1111010 => [4,1,1,1] => 75
[8,6,5,4,2,7,1,3] => 1111010 => [4,1,1,1] => 75
[8,7,4,3,2,6,1,5] => 1111010 => [4,1,1,1] => 75
[8,7,5,3,2,6,1,4] => 1111010 => [4,1,1,1] => 75
[8,7,5,4,2,6,1,3] => 1111010 => [4,1,1,1] => 75
[8,7,6,3,2,5,1,4] => 1111010 => [4,1,1,1] => 75
[8,7,6,4,2,5,1,3] => 1111010 => [4,1,1,1] => 75
[8,7,6,5,2,4,1,3] => 1111010 => [4,1,1,1] => 75
[8,1,2,3,4,7,5,6] => 1000010 => [1,4,1,1] => 107
[8,1,2,3,6,4,5,7] => 1000100 => [1,3,1,2] => 157
[8,1,2,3,7,4,5,6] => 1000100 => [1,3,1,2] => 157
[7,1,2,3,6,4,8,5] => 1000101 => [1,3,1,1,1] => 219
[5,1,2,3,8,7,4,6] => 1000110 => [1,3,2,1] => 185
[8,1,2,3,6,7,4,5] => 1000010 => [1,4,1,1] => 107
[4,1,2,8,3,7,5,6] => 1001010 => [1,2,1,1,1,1] => 345
[8,1,2,5,3,4,6,7] => 1001000 => [1,2,1,3] => 137
[7,1,2,5,3,4,8,6] => 1001001 => [1,2,1,2,1] => 281
[8,1,2,6,3,4,5,7] => 1001000 => [1,2,1,3] => 137
[7,1,2,6,3,4,8,5] => 1001001 => [1,2,1,2,1] => 281
[6,1,2,5,3,8,4,7] => 1001010 => [1,2,1,1,1,1] => 345
[8,1,2,5,3,7,4,6] => 1001010 => [1,2,1,1,1,1] => 345
[8,1,2,6,3,7,4,5] => 1001010 => [1,2,1,1,1,1] => 345
[6,1,2,5,3,7,8,4] => 1001001 => [1,2,1,2,1] => 281
[4,1,2,8,6,3,5,7] => 1001100 => [1,2,2,2] => 211
[4,1,2,8,7,3,5,6] => 1001100 => [1,2,2,2] => 211
[4,1,2,7,6,3,8,5] => 1001101 => [1,2,2,1,1] => 295
[8,1,2,5,6,3,4,7] => 1000100 => [1,3,1,2] => 157
[8,1,2,5,7,3,4,6] => 1000100 => [1,3,1,2] => 157
[8,1,2,7,6,3,4,5] => 1001100 => [1,2,2,2] => 211
[7,1,2,5,6,3,8,4] => 1000101 => [1,3,1,1,1] => 219
[4,1,2,5,8,7,3,6] => 1000110 => [1,3,2,1] => 185
[4,1,2,8,6,7,3,5] => 1001010 => [1,2,1,1,1,1] => 345
[8,1,2,5,6,7,3,4] => 1000010 => [1,4,1,1] => 107
[3,1,8,2,4,7,5,6] => 1010010 => [1,1,1,2,1,1] => 359
[3,1,8,2,6,4,5,7] => 1010100 => [1,1,1,1,1,2] => 297
[3,1,8,2,7,4,5,6] => 1010100 => [1,1,1,1,1,2] => 297
[3,1,7,2,6,4,8,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[3,1,5,2,8,7,4,6] => 1010110 => [1,1,1,1,2,1] => 345
[3,1,8,2,6,7,4,5] => 1010010 => [1,1,1,2,1,1] => 359
[8,1,4,2,3,5,6,7] => 1010000 => [1,1,1,4] => 75
[7,1,4,2,3,5,8,6] => 1010001 => [1,1,1,3,1] => 219
[6,1,4,2,3,8,5,7] => 1010010 => [1,1,1,2,1,1] => 359
[8,1,4,2,3,7,5,6] => 1010010 => [1,1,1,2,1,1] => 359
[6,1,4,2,3,7,8,5] => 1010001 => [1,1,1,3,1] => 219
[8,1,5,2,3,4,6,7] => 1010000 => [1,1,1,4] => 75
[7,1,5,2,3,4,8,6] => 1010001 => [1,1,1,3,1] => 219
[8,1,7,2,3,4,5,6] => 1010000 => [1,1,1,4] => 75
[6,1,5,2,3,8,4,7] => 1010010 => [1,1,1,2,1,1] => 359
[8,1,5,2,3,7,4,6] => 1010010 => [1,1,1,2,1,1] => 359
[6,1,8,2,3,7,4,5] => 1010010 => [1,1,1,2,1,1] => 359
[6,1,5,2,3,7,8,4] => 1010001 => [1,1,1,3,1] => 219
[5,1,4,2,8,3,6,7] => 1010100 => [1,1,1,1,1,2] => 297
[5,1,4,2,7,3,8,6] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,1,4,2,6,3,5,7] => 1010100 => [1,1,1,1,1,2] => 297
[8,1,4,2,7,3,5,6] => 1010100 => [1,1,1,1,1,2] => 297
[7,1,4,2,6,3,8,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,1,5,2,6,3,4,7] => 1010100 => [1,1,1,1,1,2] => 297
[8,1,5,2,7,3,4,6] => 1010100 => [1,1,1,1,1,2] => 297
[7,1,8,2,6,3,4,5] => 1010100 => [1,1,1,1,1,2] => 297
[7,1,5,2,6,3,8,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,1,4,2,6,8,3,7] => 1010010 => [1,1,1,2,1,1] => 359
[5,1,4,2,8,7,3,6] => 1010110 => [1,1,1,1,2,1] => 345
[8,1,4,2,6,7,3,5] => 1010010 => [1,1,1,2,1,1] => 359
[8,1,5,2,6,7,3,4] => 1010010 => [1,1,1,2,1,1] => 359
[5,1,4,2,6,7,8,3] => 1010001 => [1,1,1,3,1] => 219
[3,1,4,8,2,7,5,6] => 1001010 => [1,2,1,1,1,1] => 345
[3,1,8,5,2,4,6,7] => 1011000 => [1,1,2,3] => 145
[3,1,7,5,2,4,8,6] => 1011001 => [1,1,2,2,1] => 295
[3,1,8,6,2,4,5,7] => 1011000 => [1,1,2,3] => 145
[3,1,7,6,2,4,8,5] => 1011001 => [1,1,2,2,1] => 295
[3,1,6,5,2,8,4,7] => 1011010 => [1,1,2,1,1,1] => 359
[3,1,8,5,2,7,4,6] => 1011010 => [1,1,2,1,1,1] => 359
[3,1,8,6,2,7,4,5] => 1011010 => [1,1,2,1,1,1] => 359
[3,1,6,5,2,7,8,4] => 1011001 => [1,1,2,2,1] => 295
[8,1,4,5,2,3,6,7] => 1001000 => [1,2,1,3] => 137
[7,1,4,5,2,3,8,6] => 1001001 => [1,2,1,2,1] => 281
[8,1,4,6,2,3,5,7] => 1001000 => [1,2,1,3] => 137
[7,1,4,8,2,3,5,6] => 1001000 => [1,2,1,3] => 137
[7,1,4,6,2,3,8,5] => 1001001 => [1,2,1,2,1] => 281
[8,1,6,5,2,3,4,7] => 1011000 => [1,1,2,3] => 145
[7,1,8,5,2,3,4,6] => 1011000 => [1,1,2,3] => 145
[7,1,8,6,2,3,4,5] => 1011000 => [1,1,2,3] => 145
[7,1,6,5,2,3,8,4] => 1011001 => [1,1,2,2,1] => 295
[6,1,4,5,2,8,3,7] => 1001010 => [1,2,1,1,1,1] => 345
[8,1,4,5,2,7,3,6] => 1001010 => [1,2,1,1,1,1] => 345
[8,1,4,6,2,7,3,5] => 1001010 => [1,2,1,1,1,1] => 345
[8,1,6,5,2,7,3,4] => 1011010 => [1,1,2,1,1,1] => 359
[6,1,4,5,2,7,8,3] => 1001001 => [1,2,1,2,1] => 281
[3,1,4,8,6,2,5,7] => 1001100 => [1,2,2,2] => 211
[3,1,4,8,7,2,5,6] => 1001100 => [1,2,2,2] => 211
[3,1,4,7,6,2,8,5] => 1001101 => [1,2,2,1,1] => 295
[3,1,8,5,6,2,4,7] => 1010100 => [1,1,1,1,1,2] => 297
[3,1,8,5,7,2,4,6] => 1010100 => [1,1,1,1,1,2] => 297
[3,1,8,7,6,2,4,5] => 1011100 => [1,1,3,2] => 171
[3,1,7,5,6,2,8,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,1,4,5,6,2,3,7] => 1000100 => [1,3,1,2] => 157
[8,1,4,5,7,2,3,6] => 1000100 => [1,3,1,2] => 157
[8,1,4,7,6,2,3,5] => 1001100 => [1,2,2,2] => 211
[8,1,7,5,6,2,3,4] => 1010100 => [1,1,1,1,1,2] => 297
[7,1,4,5,6,2,8,3] => 1000101 => [1,3,1,1,1] => 219
[3,1,4,5,8,7,2,6] => 1000110 => [1,3,2,1] => 185
[3,1,4,8,6,7,2,5] => 1001010 => [1,2,1,1,1,1] => 345
[3,1,8,5,6,7,2,4] => 1010010 => [1,1,1,2,1,1] => 359
[8,1,4,5,6,7,2,3] => 1000010 => [1,4,1,1] => 107
[2,8,1,3,4,7,5,6] => 0100010 => [1,1,3,1,1] => 233
[2,8,1,3,6,4,5,7] => 0100100 => [1,1,2,1,2] => 252
[2,8,1,3,7,4,5,6] => 0100100 => [1,1,2,1,2] => 252
[2,7,1,3,6,4,8,5] => 0100101 => [1,1,2,1,1,1] => 359
[2,5,1,3,8,7,4,6] => 0100110 => [1,1,2,2,1] => 295
[2,8,1,3,6,7,4,5] => 0100010 => [1,1,3,1,1] => 233
[2,4,1,8,3,7,5,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,8,1,5,3,4,6,7] => 0101000 => [1,1,1,1,3] => 165
[2,7,1,5,3,4,8,6] => 0101001 => [1,1,1,1,2,1] => 345
[2,8,1,6,3,4,5,7] => 0101000 => [1,1,1,1,3] => 165
[2,7,1,6,3,4,8,5] => 0101001 => [1,1,1,1,2,1] => 345
[2,6,1,5,3,8,4,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,8,1,5,3,7,4,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,6,1,5,3,7,8,4] => 0101001 => [1,1,1,1,2,1] => 345
[2,4,1,8,6,3,5,7] => 0101100 => [1,1,1,2,2] => 255
[2,4,1,8,7,3,5,6] => 0101100 => [1,1,1,2,2] => 255
[2,4,1,7,6,3,8,5] => 0101101 => [1,1,1,2,1,1] => 359
[2,8,1,5,6,3,4,7] => 0100100 => [1,1,2,1,2] => 252
[2,8,1,5,7,3,4,6] => 0100100 => [1,1,2,1,2] => 252
[2,8,1,7,6,3,4,5] => 0101100 => [1,1,1,2,2] => 255
[2,7,1,5,6,3,8,4] => 0100101 => [1,1,2,1,1,1] => 359
[2,4,1,5,8,7,3,6] => 0100110 => [1,1,2,2,1] => 295
[2,4,1,8,6,7,3,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,8,1,5,6,7,3,4] => 0100010 => [1,1,3,1,1] => 233
[7,3,1,2,4,5,8,6] => 1100001 => [2,4,1] => 81
[6,3,1,2,4,8,5,7] => 1100010 => [2,3,1,1] => 171
[8,3,1,2,4,7,5,6] => 1100010 => [2,3,1,1] => 171
[6,3,1,2,4,7,8,5] => 1100001 => [2,4,1] => 81
[5,3,1,2,8,4,6,7] => 1100100 => [2,2,1,2] => 180
[5,3,1,2,7,4,8,6] => 1100101 => [2,2,1,1,1] => 255
[8,3,1,2,6,4,5,7] => 1100100 => [2,2,1,2] => 180
[8,3,1,2,7,4,5,6] => 1100100 => [2,2,1,2] => 180
[7,3,1,2,6,4,8,5] => 1100101 => [2,2,1,1,1] => 255
[5,3,1,2,6,8,4,7] => 1100010 => [2,3,1,1] => 171
[5,3,1,2,8,7,4,6] => 1100110 => [2,2,2,1] => 211
[8,3,1,2,6,7,4,5] => 1100010 => [2,3,1,1] => 171
[5,3,1,2,6,7,8,4] => 1100001 => [2,4,1] => 81
[7,4,1,2,3,5,8,6] => 1100001 => [2,4,1] => 81
[6,4,1,2,3,8,5,7] => 1100010 => [2,3,1,1] => 171
[8,4,1,2,3,7,5,6] => 1100010 => [2,3,1,1] => 171
[6,4,1,2,3,7,8,5] => 1100001 => [2,4,1] => 81
[7,6,1,2,3,4,8,5] => 1100001 => [2,4,1] => 81
[5,8,1,2,3,7,4,6] => 0100010 => [1,1,3,1,1] => 233
[8,6,1,2,3,7,4,5] => 1100010 => [2,3,1,1] => 171
[5,4,1,2,8,3,6,7] => 1100100 => [2,2,1,2] => 180
[5,4,1,2,7,3,8,6] => 1100101 => [2,2,1,1,1] => 255
[8,4,1,2,6,3,5,7] => 1100100 => [2,2,1,2] => 180
[8,4,1,2,7,3,5,6] => 1100100 => [2,2,1,2] => 180
[7,4,1,2,6,3,8,5] => 1100101 => [2,2,1,1,1] => 255
[5,8,1,2,6,3,4,7] => 0100100 => [1,1,2,1,2] => 252
[5,8,1,2,7,3,4,6] => 0100100 => [1,1,2,1,2] => 252
[8,7,1,2,6,3,4,5] => 1100100 => [2,2,1,2] => 180
[5,7,1,2,6,3,8,4] => 0100101 => [1,1,2,1,1,1] => 359
[5,4,1,2,6,8,3,7] => 1100010 => [2,3,1,1] => 171
[5,4,1,2,8,7,3,6] => 1100110 => [2,2,2,1] => 211
[8,4,1,2,6,7,3,5] => 1100010 => [2,3,1,1] => 171
[5,8,1,2,6,7,3,4] => 0100010 => [1,1,3,1,1] => 233
[5,4,1,2,6,7,8,3] => 1100001 => [2,4,1] => 81
[4,3,1,8,2,5,6,7] => 1101000 => [2,1,1,3] => 117
[4,3,1,7,2,5,8,6] => 1101001 => [2,1,1,2,1] => 241
[4,3,1,6,2,8,5,7] => 1101010 => [2,1,1,1,1,1] => 297
[4,3,1,8,2,7,5,6] => 1101010 => [2,1,1,1,1,1] => 297
[4,3,1,6,2,7,8,5] => 1101001 => [2,1,1,2,1] => 241
[8,3,1,5,2,4,6,7] => 1101000 => [2,1,1,3] => 117
[7,3,1,5,2,4,8,6] => 1101001 => [2,1,1,2,1] => 241
[8,3,1,6,2,4,5,7] => 1101000 => [2,1,1,3] => 117
[7,3,1,8,2,4,5,6] => 1101000 => [2,1,1,3] => 117
[7,3,1,6,2,4,8,5] => 1101001 => [2,1,1,2,1] => 241
[6,3,1,5,2,8,4,7] => 1101010 => [2,1,1,1,1,1] => 297
[8,3,1,5,2,7,4,6] => 1101010 => [2,1,1,1,1,1] => 297
[8,3,1,6,2,7,4,5] => 1101010 => [2,1,1,1,1,1] => 297
[6,3,1,5,2,7,8,4] => 1101001 => [2,1,1,2,1] => 241
[8,4,1,5,2,3,6,7] => 1101000 => [2,1,1,3] => 117
[7,4,1,5,2,3,8,6] => 1101001 => [2,1,1,2,1] => 241
[8,4,1,6,2,3,5,7] => 1101000 => [2,1,1,3] => 117
[7,4,1,8,2,3,5,6] => 1101000 => [2,1,1,3] => 117
[7,4,1,6,2,3,8,5] => 1101001 => [2,1,1,2,1] => 241
[6,8,1,5,2,3,4,7] => 0101000 => [1,1,1,1,3] => 165
[8,7,1,5,2,3,4,6] => 1101000 => [2,1,1,3] => 117
[8,7,1,6,2,3,4,5] => 1101000 => [2,1,1,3] => 117
[6,7,1,5,2,3,8,4] => 0101001 => [1,1,1,1,2,1] => 345
[6,4,1,5,2,8,3,7] => 1101010 => [2,1,1,1,1,1] => 297
[8,4,1,5,2,7,3,6] => 1101010 => [2,1,1,1,1,1] => 297
[8,4,1,6,2,7,3,5] => 1101010 => [2,1,1,1,1,1] => 297
[6,8,1,5,2,7,3,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[6,4,1,5,2,7,8,3] => 1101001 => [2,1,1,2,1] => 241
[4,3,1,5,8,2,6,7] => 1100100 => [2,2,1,2] => 180
[4,3,1,5,7,2,8,6] => 1100101 => [2,2,1,1,1] => 255
[4,3,1,8,6,2,5,7] => 1101100 => [2,1,2,2] => 180
[4,3,1,8,7,2,5,6] => 1101100 => [2,1,2,2] => 180
[4,3,1,7,6,2,8,5] => 1101101 => [2,1,2,1,1] => 252
[8,3,1,5,6,2,4,7] => 1100100 => [2,2,1,2] => 180
[8,3,1,5,7,2,4,6] => 1100100 => [2,2,1,2] => 180
[8,3,1,7,6,2,4,5] => 1101100 => [2,1,2,2] => 180
[7,3,1,5,6,2,8,4] => 1100101 => [2,2,1,1,1] => 255
[8,4,1,5,6,2,3,7] => 1100100 => [2,2,1,2] => 180
[8,4,1,5,7,2,3,6] => 1100100 => [2,2,1,2] => 180
[8,4,1,7,6,2,3,5] => 1101100 => [2,1,2,2] => 180
[7,8,1,5,6,2,3,4] => 0100100 => [1,1,2,1,2] => 252
[7,4,1,5,6,2,8,3] => 1100101 => [2,2,1,1,1] => 255
[4,3,1,5,6,8,2,7] => 1100010 => [2,3,1,1] => 171
[4,3,1,5,8,7,2,6] => 1100110 => [2,2,2,1] => 211
[4,3,1,8,6,7,2,5] => 1101010 => [2,1,1,1,1,1] => 297
[8,3,1,5,6,7,2,4] => 1100010 => [2,3,1,1] => 171
[8,4,1,5,6,7,2,3] => 1100010 => [2,3,1,1] => 171
[4,3,1,5,6,7,8,2] => 1100001 => [2,4,1] => 81
[2,3,8,1,4,7,5,6] => 0010010 => [2,1,2,1,1] => 252
[2,3,8,1,6,4,5,7] => 0010100 => [2,1,1,1,2] => 207
[2,3,8,1,7,4,5,6] => 0010100 => [2,1,1,1,2] => 207
[2,3,7,1,6,4,8,5] => 0010101 => [2,1,1,1,1,1] => 297
[2,3,5,1,8,7,4,6] => 0010110 => [2,1,1,2,1] => 241
[2,3,8,1,6,7,4,5] => 0010010 => [2,1,2,1,1] => 252
[2,8,4,1,3,5,6,7] => 0110000 => [1,2,4] => 65
[2,7,4,1,3,5,8,6] => 0110001 => [1,2,3,1] => 185
[2,6,4,1,3,8,5,7] => 0110010 => [1,2,2,1,1] => 295
[2,8,4,1,3,7,5,6] => 0110010 => [1,2,2,1,1] => 295
[2,6,4,1,3,7,8,5] => 0110001 => [1,2,3,1] => 185
[2,8,5,1,3,4,6,7] => 0110000 => [1,2,4] => 65
[2,7,5,1,3,4,8,6] => 0110001 => [1,2,3,1] => 185
[2,8,7,1,3,4,5,6] => 0110000 => [1,2,4] => 65
[2,6,5,1,3,8,4,7] => 0110010 => [1,2,2,1,1] => 295
[2,8,5,1,3,7,4,6] => 0110010 => [1,2,2,1,1] => 295
[2,6,8,1,3,7,4,5] => 0010010 => [2,1,2,1,1] => 252
[2,6,5,1,3,7,8,4] => 0110001 => [1,2,3,1] => 185
[2,5,4,1,8,3,6,7] => 0110100 => [1,2,1,1,2] => 241
[2,5,4,1,7,3,8,6] => 0110101 => [1,2,1,1,1,1] => 345
[2,8,4,1,6,3,5,7] => 0110100 => [1,2,1,1,2] => 241
[2,8,4,1,7,3,5,6] => 0110100 => [1,2,1,1,2] => 241
[2,7,4,1,6,3,8,5] => 0110101 => [1,2,1,1,1,1] => 345
[2,8,5,1,6,3,4,7] => 0110100 => [1,2,1,1,2] => 241
[2,8,5,1,7,3,4,6] => 0110100 => [1,2,1,1,2] => 241
[2,7,8,1,6,3,4,5] => 0010100 => [2,1,1,1,2] => 207
[2,7,5,1,6,3,8,4] => 0110101 => [1,2,1,1,1,1] => 345
[2,5,4,1,6,8,3,7] => 0110010 => [1,2,2,1,1] => 295
[2,5,4,1,8,7,3,6] => 0110110 => [1,2,1,2,1] => 281
[2,8,4,1,6,7,3,5] => 0110010 => [1,2,2,1,1] => 295
[2,8,5,1,6,7,3,4] => 0110010 => [1,2,2,1,1] => 295
[2,5,4,1,6,7,8,3] => 0110001 => [1,2,3,1] => 185
[7,3,4,1,2,5,8,6] => 1010001 => [1,1,1,3,1] => 219
[6,3,4,1,2,8,5,7] => 1010010 => [1,1,1,2,1,1] => 359
[8,3,4,1,2,7,5,6] => 1010010 => [1,1,1,2,1,1] => 359
[6,3,4,1,2,7,8,5] => 1010001 => [1,1,1,3,1] => 219
[7,3,5,1,2,4,8,6] => 1010001 => [1,1,1,3,1] => 219
[6,3,7,1,2,4,8,5] => 1010001 => [1,1,1,3,1] => 219
[6,3,5,1,2,8,4,7] => 1010010 => [1,1,1,2,1,1] => 359
[8,3,5,1,2,7,4,6] => 1010010 => [1,1,1,2,1,1] => 359
[6,3,8,1,2,7,4,5] => 1010010 => [1,1,1,2,1,1] => 359
[6,3,5,1,2,7,8,4] => 1010001 => [1,1,1,3,1] => 219
[7,5,4,1,2,3,8,6] => 1110001 => [3,3,1] => 95
[6,8,4,1,2,3,5,7] => 0110000 => [1,2,4] => 65
[6,7,4,1,2,3,8,5] => 0110001 => [1,2,3,1] => 185
[6,8,5,1,2,3,4,7] => 0110000 => [1,2,4] => 65
[6,7,5,1,2,3,8,4] => 0110001 => [1,2,3,1] => 185
[6,5,4,1,2,8,3,7] => 1110010 => [3,2,1,1] => 145
[8,5,4,1,2,7,3,6] => 1110010 => [3,2,1,1] => 145
[6,8,4,1,2,7,3,5] => 0110010 => [1,2,2,1,1] => 295
[6,8,5,1,2,7,3,4] => 0110010 => [1,2,2,1,1] => 295
[6,5,4,1,2,7,8,3] => 1110001 => [3,3,1] => 95
[5,3,4,1,8,2,6,7] => 1010100 => [1,1,1,1,1,2] => 297
[5,3,4,1,7,2,8,6] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,3,4,1,6,2,5,7] => 1010100 => [1,1,1,1,1,2] => 297
[8,3,4,1,7,2,5,6] => 1010100 => [1,1,1,1,1,2] => 297
[7,3,4,1,6,2,8,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,3,5,1,6,2,4,7] => 1010100 => [1,1,1,1,1,2] => 297
[8,3,5,1,7,2,4,6] => 1010100 => [1,1,1,1,1,2] => 297
[7,3,8,1,6,2,4,5] => 1010100 => [1,1,1,1,1,2] => 297
[7,3,5,1,6,2,8,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,5,4,1,6,2,3,7] => 1110100 => [3,1,1,2] => 117
[8,5,4,1,7,2,3,6] => 1110100 => [3,1,1,2] => 117
[7,8,4,1,6,2,3,5] => 0110100 => [1,2,1,1,2] => 241
[7,8,5,1,6,2,3,4] => 0110100 => [1,2,1,1,2] => 241
[7,5,4,1,6,2,8,3] => 1110101 => [3,1,1,1,1] => 165
[5,3,4,1,6,8,2,7] => 1010010 => [1,1,1,2,1,1] => 359
[5,3,4,1,8,7,2,6] => 1010110 => [1,1,1,1,2,1] => 345
[8,3,4,1,6,7,2,5] => 1010010 => [1,1,1,2,1,1] => 359
[8,3,5,1,6,7,2,4] => 1010010 => [1,1,1,2,1,1] => 359
[8,5,4,1,6,7,2,3] => 1110010 => [3,2,1,1] => 145
[5,3,4,1,6,7,8,2] => 1010001 => [1,1,1,3,1] => 219
[2,3,4,8,1,7,5,6] => 0001010 => [3,1,1,1,1] => 165
[2,3,8,5,1,4,6,7] => 0011000 => [2,2,3] => 105
[2,3,7,5,1,4,8,6] => 0011001 => [2,2,2,1] => 211
[2,3,8,6,1,4,5,7] => 0011000 => [2,2,3] => 105
[2,3,7,6,1,4,8,5] => 0011001 => [2,2,2,1] => 211
[2,3,6,5,1,8,4,7] => 0011010 => [2,2,1,1,1] => 255
[2,3,8,5,1,7,4,6] => 0011010 => [2,2,1,1,1] => 255
[2,3,8,6,1,7,4,5] => 0011010 => [2,2,1,1,1] => 255
[2,3,6,5,1,7,8,4] => 0011001 => [2,2,2,1] => 211
[2,8,4,5,1,3,6,7] => 0101000 => [1,1,1,1,3] => 165
[2,7,4,5,1,3,8,6] => 0101001 => [1,1,1,1,2,1] => 345
[2,8,4,6,1,3,5,7] => 0101000 => [1,1,1,1,3] => 165
[2,7,4,8,1,3,5,6] => 0101000 => [1,1,1,1,3] => 165
[2,7,4,6,1,3,8,5] => 0101001 => [1,1,1,1,2,1] => 345
[2,8,6,5,1,3,4,7] => 0111000 => [1,3,3] => 95
[2,7,8,5,1,3,4,6] => 0011000 => [2,2,3] => 105
[2,7,8,6,1,3,4,5] => 0011000 => [2,2,3] => 105
[2,7,6,5,1,3,8,4] => 0111001 => [1,3,2,1] => 185
[2,6,4,5,1,8,3,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,8,4,5,1,7,3,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,8,4,6,1,7,3,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,8,6,5,1,7,3,4] => 0111010 => [1,3,1,1,1] => 219
[2,6,4,5,1,7,8,3] => 0101001 => [1,1,1,1,2,1] => 345
[7,3,4,5,1,2,8,6] => 1001001 => [1,2,1,2,1] => 281
[7,3,4,6,1,2,8,5] => 1001001 => [1,2,1,2,1] => 281
[8,3,6,5,1,2,4,7] => 1011000 => [1,1,2,3] => 145
[7,3,8,5,1,2,4,6] => 1011000 => [1,1,2,3] => 145
[7,3,8,6,1,2,4,5] => 1011000 => [1,1,2,3] => 145
[7,3,6,5,1,2,8,4] => 1011001 => [1,1,2,2,1] => 295
[7,6,4,5,1,2,8,3] => 1101001 => [2,1,1,2,1] => 241
[6,3,4,5,1,8,2,7] => 1001010 => [1,2,1,1,1,1] => 345
[8,3,4,5,1,7,2,6] => 1001010 => [1,2,1,1,1,1] => 345
[8,3,4,6,1,7,2,5] => 1001010 => [1,2,1,1,1,1] => 345
[8,3,6,5,1,7,2,4] => 1011010 => [1,1,2,1,1,1] => 359
[8,6,4,5,1,7,2,3] => 1101010 => [2,1,1,1,1,1] => 297
[6,3,4,5,1,7,8,2] => 1001001 => [1,2,1,2,1] => 281
[2,3,4,8,6,1,5,7] => 0001100 => [3,2,2] => 105
[2,3,4,8,7,1,5,6] => 0001100 => [3,2,2] => 105
[2,3,4,7,6,1,8,5] => 0001101 => [3,2,1,1] => 145
[2,3,8,5,6,1,4,7] => 0010100 => [2,1,1,1,2] => 207
[2,3,8,5,7,1,4,6] => 0010100 => [2,1,1,1,2] => 207
[2,3,8,7,6,1,4,5] => 0011100 => [2,3,2] => 126
[2,3,7,5,6,1,8,4] => 0010101 => [2,1,1,1,1,1] => 297
[2,8,4,5,6,1,3,7] => 0100100 => [1,1,2,1,2] => 252
[2,8,4,5,7,1,3,6] => 0100100 => [1,1,2,1,2] => 252
[2,8,4,7,6,1,3,5] => 0101100 => [1,1,1,2,2] => 255
[2,8,7,5,6,1,3,4] => 0110100 => [1,2,1,1,2] => 241
[2,7,4,5,6,1,8,3] => 0100101 => [1,1,2,1,1,1] => 359
[8,3,4,5,7,1,2,6] => 1000100 => [1,3,1,2] => 157
[8,3,4,7,6,1,2,5] => 1001100 => [1,2,2,2] => 211
[8,3,7,5,6,1,2,4] => 1010100 => [1,1,1,1,1,2] => 297
[7,3,4,5,6,1,8,2] => 1000101 => [1,3,1,1,1] => 219
[2,3,4,5,8,7,1,6] => 0000110 => [4,2,1] => 65
[2,3,4,8,6,7,1,5] => 0001010 => [3,1,1,1,1] => 165
[2,3,8,5,6,7,1,4] => 0010010 => [2,1,2,1,1] => 252
[2,8,4,5,6,7,1,3] => 0100010 => [1,1,3,1,1] => 233
[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] => 170
[9,1,2,3,4,5,8,6,7] => 10000010 => [1,5,1,1] => 170
[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] => 303
[6,1,2,3,4,8,5,9,7] => 10000101 => [1,4,1,1,1] => 410
[9,1,2,3,4,7,5,6,8] => 10000100 => [1,4,1,2] => 303
[9,1,2,3,4,8,5,6,7] => 10000100 => [1,4,1,2] => 303
[8,1,2,3,4,7,5,9,6] => 10000101 => [1,4,1,1,1] => 410
[6,1,2,3,4,7,9,5,8] => 10000010 => [1,5,1,1] => 170
[6,1,2,3,4,9,8,5,7] => 10000110 => [1,4,2,1] => 358
[9,1,2,3,4,7,8,5,6] => 10000010 => [1,5,1,1] => 170
[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] => 646
[9,1,2,3,6,4,5,7,8] => 10001000 => [1,3,1,3] => 332
[8,1,2,3,9,4,5,6,7] => 10001000 => [1,3,1,3] => 332
[5,1,2,3,9,8,4,6,7] => 10001100 => [1,3,2,2] => 500
[9,1,2,3,6,8,4,5,7] => 10000100 => [1,4,1,2] => 303
[5,1,2,3,6,9,8,4,7] => 10000110 => [1,4,2,1] => 358
[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] => 646
[4,1,2,9,3,5,8,6,7] => 10010010 => [1,2,1,2,1,1] => 1006
[4,1,2,9,3,8,5,6,7] => 10010100 => [1,2,1,1,1,2] => 821
[9,1,2,5,3,4,6,7,8] => 10010000 => [1,2,1,4] => 235
[9,1,2,8,3,4,5,6,7] => 10010000 => [1,2,1,4] => 235
[7,1,2,8,3,4,5,9,6] => 10010001 => [1,2,1,3,1] => 646
[4,1,2,5,9,3,6,7,8] => 10001000 => [1,3,1,3] => 332
[4,1,2,8,9,3,5,6,7] => 10001000 => [1,3,1,3] => 332
[8,1,2,5,9,3,4,6,7] => 10001000 => [1,3,1,3] => 332
[8,1,2,9,6,3,4,5,7] => 10011000 => [1,2,2,3] => 436
[4,1,2,5,9,8,3,6,7] => 10001100 => [1,3,2,2] => 500
[9,1,2,8,6,7,3,4,5] => 10010100 => [1,2,1,1,1,2] => 821
[4,1,2,5,6,7,9,3,8] => 10000010 => [1,5,1,1] => 170
[4,1,2,9,6,7,8,3,5] => 10010010 => [1,2,1,2,1,1] => 1006
[9,1,2,5,6,7,8,3,4] => 10000010 => [1,5,1,1] => 170
[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] => 110
[3,1,8,2,4,5,6,9,7] => 10100001 => [1,1,1,4,1] => 410
[3,1,9,2,4,5,8,6,7] => 10100010 => [1,1,1,3,1,1] => 842
[3,1,5,2,7,4,9,6,8] => 10101010 => [1,1,1,1,1,1,1,1] => 1430
[8,1,4,2,3,5,6,9,7] => 10100001 => [1,1,1,4,1] => 410
[9,1,4,2,3,5,8,6,7] => 10100010 => [1,1,1,3,1,1] => 842
[6,1,4,2,3,7,8,9,5] => 10100001 => [1,1,1,4,1] => 410
[9,1,8,2,3,4,5,6,7] => 10100000 => [1,1,1,5] => 110
[8,1,7,2,3,4,5,9,6] => 10100001 => [1,1,1,4,1] => 410
[3,1,4,9,2,5,6,7,8] => 10010000 => [1,2,1,4] => 235
[3,1,4,9,2,5,8,6,7] => 10010010 => [1,2,1,2,1,1] => 1006
[3,1,9,8,2,4,5,6,7] => 10110000 => [1,1,2,4] => 250
[9,1,4,5,2,3,6,7,8] => 10010000 => [1,2,1,4] => 235
[7,1,4,5,2,3,8,9,6] => 10010001 => [1,2,1,3,1] => 646
[7,1,4,9,2,3,5,6,8] => 10010000 => [1,2,1,4] => 235
[9,1,4,8,2,3,5,6,7] => 10010000 => [1,2,1,4] => 235
[9,1,6,5,2,3,4,7,8] => 10110000 => [1,1,2,4] => 250
[7,1,9,6,2,3,4,5,8] => 10110000 => [1,1,2,4] => 250
[9,1,8,6,2,3,4,5,7] => 10110000 => [1,1,2,4] => 250
[7,1,8,9,2,3,4,5,6] => 10010000 => [1,2,1,4] => 235
[3,1,4,8,9,2,5,6,7] => 10001000 => [1,3,1,3] => 332
[3,1,8,9,7,2,4,5,6] => 10011000 => [1,2,2,3] => 436
[8,1,4,5,6,2,3,9,7] => 10001001 => [1,3,1,2,1] => 646
[8,1,4,9,7,2,3,5,6] => 10011000 => [1,2,2,3] => 436
[8,1,9,5,6,2,3,4,7] => 10101000 => [1,1,1,1,1,3] => 572
[8,1,9,7,6,2,3,4,5] => 10111000 => [1,1,3,3] => 376
[7,1,4,5,6,2,8,9,3] => 10001001 => [1,3,1,2,1] => 646
[3,1,4,5,6,9,2,7,8] => 10000100 => [1,4,1,2] => 303
[3,1,4,5,6,8,2,9,7] => 10000101 => [1,4,1,1,1] => 410
[3,1,4,9,8,7,2,5,6] => 10011100 => [1,2,3,2] => 533
[3,1,9,8,6,7,2,4,5] => 10110100 => [1,1,2,1,1,2] => 861
[9,1,4,5,6,7,2,3,8] => 10000100 => [1,4,1,2] => 303
[9,1,4,8,6,7,2,3,5] => 10010100 => [1,2,1,1,1,2] => 821
[9,1,8,5,6,7,2,3,4] => 10100100 => [1,1,1,2,1,2] => 875
[8,1,4,5,6,7,2,9,3] => 10000101 => [1,4,1,1,1] => 410
[3,1,4,5,6,7,9,2,8] => 10000010 => [1,5,1,1] => 170
[3,1,4,9,6,7,8,2,5] => 10010010 => [1,2,1,2,1,1] => 1006
[3,1,9,5,6,7,8,2,4] => 10100010 => [1,1,1,3,1,1] => 842
[9,1,4,5,6,7,8,2,3] => 10000010 => [1,5,1,1] => 170
[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] => 35
[2,8,1,3,4,5,6,9,7] => 01000001 => [1,1,5,1] => 170
[2,7,1,3,4,5,9,6,8] => 01000010 => [1,1,4,1,1] => 450
[2,9,1,3,4,5,8,6,7] => 01000010 => [1,1,4,1,1] => 450
[2,7,1,3,4,5,8,9,6] => 01000001 => [1,1,5,1] => 170
[2,6,1,3,4,9,5,7,8] => 01000100 => [1,1,3,1,2] => 609
[2,9,1,3,4,8,5,6,7] => 01000100 => [1,1,3,1,2] => 609
[2,8,1,3,9,4,5,6,7] => 01001000 => [1,1,2,1,3] => 502
[2,9,1,3,8,7,4,5,6] => 01001100 => [1,1,2,2,2] => 765
[2,9,1,3,6,7,8,4,5] => 01000010 => [1,1,4,1,1] => 450
[2,5,1,3,6,7,8,9,4] => 01000001 => [1,1,5,1] => 170
[2,4,1,6,3,8,5,9,7] => 01010101 => [1,1,1,1,1,1,1,1] => 1430
[2,9,1,8,3,4,5,6,7] => 01010000 => [1,1,1,1,4] => 275
[2,7,1,6,3,4,8,9,5] => 01010001 => [1,1,1,1,3,1] => 770
[2,6,1,5,3,7,8,9,4] => 01010001 => [1,1,1,1,3,1] => 770
[2,4,1,5,9,3,6,7,8] => 01001000 => [1,1,2,1,3] => 502
[2,4,1,8,9,3,5,6,7] => 01001000 => [1,1,2,1,3] => 502
[2,8,1,9,7,3,4,5,6] => 01011000 => [1,1,1,2,3] => 516
[2,9,1,8,6,7,3,4,5] => 01010100 => [1,1,1,1,1,1,2] => 1001
[2,4,1,5,6,7,9,3,8] => 01000010 => [1,1,4,1,1] => 450
[2,4,1,5,6,9,8,3,7] => 01000110 => [1,1,3,2,1] => 718
[2,9,1,5,6,7,8,3,4] => 01000010 => [1,1,4,1,1] => 450
[2,4,1,5,6,7,8,9,3] => 01000001 => [1,1,5,1] => 170
[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] => 133
[9,3,1,2,4,5,8,6,7] => 11000010 => [2,4,1,1] => 343
[6,3,1,2,4,7,8,9,5] => 11000001 => [2,5,1] => 133
[9,3,1,2,6,7,8,4,5] => 11000010 => [2,4,1,1] => 343
[5,3,1,2,6,7,8,9,4] => 11000001 => [2,5,1] => 133
[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] => 133
[6,4,1,2,3,7,8,9,5] => 11000001 => [2,5,1] => 133
[5,9,1,2,3,4,6,7,8] => 01000000 => [1,1,6] => 35
[5,8,1,2,3,4,6,9,7] => 01000001 => [1,1,5,1] => 170
[5,7,1,2,3,4,8,9,6] => 01000001 => [1,1,5,1] => 170
[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] => 133
[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] => 35
[8,7,1,2,3,4,5,9,6] => 11000001 => [2,5,1] => 133
[7,6,1,2,3,4,9,5,8] => 11000010 => [2,4,1,1] => 343
[9,6,1,2,3,4,8,5,7] => 11000010 => [2,4,1,1] => 343
[9,7,1,2,3,4,8,5,6] => 11000010 => [2,4,1,1] => 343
[7,6,1,2,3,4,8,9,5] => 11000001 => [2,5,1] => 133
[5,6,1,2,3,9,4,7,8] => 01000100 => [1,1,3,1,2] => 609
[5,9,1,2,3,8,4,6,7] => 01000100 => [1,1,3,1,2] => 609
[9,6,1,2,3,7,4,5,8] => 11000100 => [2,3,1,2] => 452
[9,8,1,2,3,7,4,5,6] => 11000100 => [2,3,1,2] => 452
[8,6,1,2,3,7,4,9,5] => 11000101 => [2,3,1,1,1] => 623
[5,6,1,2,3,7,9,4,8] => 01000010 => [1,1,4,1,1] => 450
[9,6,1,2,3,7,8,4,5] => 11000010 => [2,4,1,1] => 343
[5,6,1,2,3,7,8,9,4] => 01000001 => [1,1,5,1] => 170
[5,4,1,2,9,3,6,7,8] => 11001000 => [2,2,1,3] => 365
[8,4,1,2,9,3,5,6,7] => 11001000 => [2,2,1,3] => 365
[5,9,1,2,6,3,4,7,8] => 01001000 => [1,1,2,1,3] => 502
[9,7,1,2,6,3,8,4,5] => 11001010 => [2,2,1,1,1,1] => 875
[5,4,1,2,6,9,3,7,8] => 11000100 => [2,3,1,2] => 452
[9,8,1,2,6,7,3,4,5] => 11000100 => [2,3,1,2] => 452
[5,4,1,2,6,7,9,3,8] => 11000010 => [2,4,1,1] => 343
[5,4,1,2,6,7,8,9,3] => 11000001 => [2,5,1] => 133
[4,3,1,9,2,5,6,7,8] => 11010000 => [2,1,1,4] => 200
[9,3,1,8,2,4,5,6,7] => 11010000 => [2,1,1,4] => 200
[9,4,1,5,2,3,6,7,8] => 11010000 => [2,1,1,4] => 200
[9,4,1,8,2,3,5,6,7] => 11010000 => [2,1,1,4] => 200
[6,9,1,5,2,3,4,7,8] => 01010000 => [1,1,1,1,4] => 275
[9,7,1,6,2,3,4,5,8] => 11010000 => [2,1,1,4] => 200
[8,7,1,9,2,3,4,5,6] => 11010000 => [2,1,1,4] => 200
[8,7,1,6,2,3,4,9,5] => 11010001 => [2,1,1,3,1] => 551
[9,4,1,6,2,8,3,5,7] => 11010100 => [2,1,1,1,1,2] => 704
[9,8,1,6,2,7,3,4,5] => 11010100 => [2,1,1,1,1,2] => 704
[4,3,1,5,9,2,6,7,8] => 11001000 => [2,2,1,3] => 365
[9,8,1,7,6,2,3,4,5] => 11011000 => [2,1,2,3] => 371
[4,3,1,5,6,8,2,9,7] => 11000101 => [2,3,1,1,1] => 623
[4,3,1,5,9,8,2,6,7] => 11001100 => [2,2,2,2] => 554
[4,3,1,5,8,7,2,9,6] => 11001101 => [2,2,2,1,1] => 765
[8,9,1,5,6,7,2,3,4] => 01000100 => [1,1,3,1,2] => 609
[4,3,1,5,6,7,9,2,8] => 11000010 => [2,4,1,1] => 343
[4,3,1,5,6,9,8,2,7] => 11000110 => [2,3,2,1] => 533
[9,3,1,5,6,7,8,2,4] => 11000010 => [2,4,1,1] => 343
[9,4,1,5,6,7,8,2,3] => 11000010 => [2,4,1,1] => 343
[4,3,1,5,6,7,8,9,2] => 11000001 => [2,5,1] => 133
[2,3,9,1,4,5,6,7,8] => 00100000 => [2,1,5] => 83
[2,3,8,1,4,5,6,9,7] => 00100001 => [2,1,4,1] => 303
[2,3,9,1,4,5,8,6,7] => 00100010 => [2,1,3,1,1] => 609
[2,3,9,1,4,7,8,5,6] => 00100010 => [2,1,3,1,1] => 609
[2,3,9,1,8,7,4,5,6] => 00101100 => [2,1,1,2,2] => 620
[2,3,8,1,6,7,4,9,5] => 00100101 => [2,1,2,1,1,1] => 875
[2,3,5,1,6,7,9,4,8] => 00100010 => [2,1,3,1,1] => 609
[2,3,9,1,6,7,8,4,5] => 00100010 => [2,1,3,1,1] => 609
[2,3,5,1,6,7,8,9,4] => 00100001 => [2,1,4,1] => 303
[2,9,4,1,3,5,6,7,8] => 01100000 => [1,2,5] => 98
[2,6,4,1,3,7,8,9,5] => 01100001 => [1,2,4,1] => 358
[2,9,5,1,3,4,6,7,8] => 01100000 => [1,2,5] => 98
[2,6,9,1,3,4,5,7,8] => 00100000 => [2,1,5] => 83
[2,9,7,1,3,4,5,6,8] => 01100000 => [1,2,5] => 98
[2,9,8,1,3,4,5,6,7] => 01100000 => [1,2,5] => 98
[2,6,7,1,3,4,8,9,5] => 00100001 => [2,1,4,1] => 303
[2,9,4,1,6,3,5,7,8] => 01101000 => [1,2,1,1,3] => 476
[2,8,4,1,9,3,5,6,7] => 01101000 => [1,2,1,1,3] => 476
[2,9,4,1,6,3,8,5,7] => 01101010 => [1,2,1,1,1,1,1] => 1166
[2,9,8,1,7,3,4,5,6] => 01101000 => [1,2,1,1,3] => 476
[2,9,5,1,6,7,8,3,4] => 01100010 => [1,2,3,1,1] => 718
[9,3,4,1,2,5,6,7,8] => 10100000 => [1,1,1,5] => 110
[6,3,4,1,2,7,8,9,5] => 10100001 => [1,1,1,4,1] => 410
[9,3,7,1,2,4,5,6,8] => 10100000 => [1,1,1,5] => 110
[9,3,8,1,2,4,5,6,7] => 10100000 => [1,1,1,5] => 110
[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] => 196
[6,9,4,1,2,3,5,7,8] => 01100000 => [1,2,5] => 98
[6,8,4,1,2,3,5,9,7] => 01100001 => [1,2,4,1] => 358
[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] => 98
[6,8,5,1,2,3,4,9,7] => 01100001 => [1,2,4,1] => 358
[8,7,5,1,2,3,4,9,6] => 11100001 => [3,4,1] => 196
[6,7,9,1,2,3,4,5,8] => 00100000 => [2,1,5] => 83
[6,9,8,1,2,3,4,5,7] => 01100000 => [1,2,5] => 98
[9,7,8,1,2,3,4,5,6] => 10100000 => [1,1,1,5] => 110
[6,7,8,1,2,3,4,9,5] => 00100001 => [2,1,4,1] => 303
[6,5,4,1,2,8,3,9,7] => 11100101 => [3,2,1,1,1] => 516
[9,8,5,1,7,2,3,4,6] => 11101000 => [3,1,1,3] => 242
[7,8,9,1,6,2,3,4,5] => 00101000 => [2,1,1,1,3] => 407
[7,8,5,1,6,2,3,9,4] => 01101001 => [1,2,1,1,2,1] => 958
[5,3,4,1,6,8,2,9,7] => 10100101 => [1,1,1,2,1,1,1] => 1234
[9,3,4,1,8,7,2,5,6] => 10101100 => [1,1,1,1,2,2] => 875
[8,3,4,1,6,7,2,9,5] => 10100101 => [1,1,1,2,1,1,1] => 1234
[9,5,4,1,8,7,2,3,6] => 11101100 => [3,1,2,2] => 365
[8,5,4,1,6,7,2,9,3] => 11100101 => [3,2,1,1,1] => 516
[5,3,4,1,9,7,8,2,6] => 10101010 => [1,1,1,1,1,1,1,1] => 1430
[9,3,5,1,6,7,8,2,4] => 10100010 => [1,1,1,3,1,1] => 842
[9,5,4,1,6,7,8,2,3] => 11100010 => [3,3,1,1] => 376
[5,3,4,1,6,7,8,9,2] => 10100001 => [1,1,1,4,1] => 410
[2,3,4,9,1,5,6,7,8] => 00010000 => [3,1,4] => 125
[2,3,4,9,1,5,8,6,7] => 00010010 => [3,1,2,1,1] => 502
[2,3,4,9,1,7,8,5,6] => 00010010 => [3,1,2,1,1] => 502
[2,3,4,6,1,7,8,9,5] => 00010001 => [3,1,3,1] => 332
[2,3,9,5,1,4,6,7,8] => 00110000 => [2,2,4] => 185
[2,3,9,6,1,4,5,7,8] => 00110000 => [2,2,4] => 185
[2,3,7,9,1,4,5,6,8] => 00010000 => [3,1,4] => 125
[2,3,9,8,1,4,5,6,7] => 00110000 => [2,2,4] => 185
[2,3,9,5,1,7,4,6,8] => 00110100 => [2,2,1,1,2] => 620
[2,3,9,6,1,7,8,4,5] => 00110010 => [2,2,2,1,1] => 765
[2,9,4,5,1,3,6,7,8] => 01010000 => [1,1,1,1,4] => 275
[2,7,4,5,1,3,8,9,6] => 01010001 => [1,1,1,1,3,1] => 770
[2,9,8,6,1,3,4,5,7] => 01110000 => [1,3,4] => 175
[2,7,8,9,1,3,4,5,6] => 00010000 => [3,1,4] => 125
[2,8,9,6,1,7,3,4,5] => 00110100 => [2,2,1,1,2] => 620
[2,9,6,5,1,7,8,3,4] => 01110010 => [1,3,2,1,1] => 685
[7,3,4,5,1,2,8,9,6] => 10010001 => [1,2,1,3,1] => 646
[9,3,4,8,1,2,5,6,7] => 10010000 => [1,2,1,4] => 235
[7,3,4,8,1,2,5,9,6] => 10010001 => [1,2,1,3,1] => 646
[7,3,8,9,1,2,4,5,6] => 10010000 => [1,2,1,4] => 235
[9,8,4,5,1,2,3,6,7] => 11010000 => [2,1,1,4] => 200
[7,8,4,6,1,2,3,9,5] => 01010001 => [1,1,1,1,3,1] => 770
[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] => 185
[7,8,6,5,1,2,3,9,4] => 01110001 => [1,3,3,1] => 460
[8,3,9,6,1,7,2,4,5] => 10110100 => [1,1,2,1,1,2] => 861
[8,3,6,5,1,7,2,9,4] => 10110101 => [1,1,2,1,1,1,1] => 1220
[8,6,4,5,1,7,2,9,3] => 11010101 => [2,1,1,1,1,1,1] => 1001
[6,3,4,5,1,7,9,2,8] => 10010010 => [1,2,1,2,1,1] => 1006
[6,3,4,5,1,9,8,2,7] => 10010110 => [1,2,1,1,2,1] => 958
[9,3,4,6,1,7,8,2,5] => 10010010 => [1,2,1,2,1,1] => 1006
[6,3,4,5,1,7,8,9,2] => 10010001 => [1,2,1,3,1] => 646
[2,3,4,5,9,1,6,7,8] => 00001000 => [4,1,3] => 125
[2,3,4,5,8,1,6,9,7] => 00001001 => [4,1,2,1] => 235
[2,3,4,5,9,1,8,6,7] => 00001010 => [4,1,1,1,1] => 275
[2,3,4,5,7,1,8,9,6] => 00001001 => [4,1,2,1] => 235
[2,3,4,9,6,1,5,7,8] => 00011000 => [3,2,3] => 226
[2,3,4,9,7,1,5,6,8] => 00011000 => [3,2,3] => 226
[2,3,4,9,6,1,8,5,7] => 00011010 => [3,2,1,1,1] => 516
[2,3,4,9,7,1,8,5,6] => 00011010 => [3,2,1,1,1] => 516
[2,3,9,5,6,1,4,7,8] => 00101000 => [2,1,1,1,3] => 407
[2,3,8,5,6,1,4,9,7] => 00101001 => [2,1,1,1,2,1] => 821
[2,3,9,5,6,1,8,4,7] => 00101010 => [2,1,1,1,1,1,1] => 1001
[2,8,4,5,6,1,3,9,7] => 01001001 => [1,1,2,1,2,1] => 1006
[2,8,9,5,7,1,3,4,6] => 00101000 => [2,1,1,1,3] => 407
[2,8,9,7,6,1,3,4,5] => 00111000 => [2,3,3] => 281
[2,9,7,5,6,1,8,3,4] => 01101010 => [1,2,1,1,1,1,1] => 1166
[8,3,4,5,6,1,2,9,7] => 10001001 => [1,3,1,2,1] => 646
[8,3,4,7,6,1,2,9,5] => 10011001 => [1,2,2,2,1] => 858
[8,3,9,7,6,1,2,4,5] => 10111000 => [1,1,3,3] => 376
[8,3,7,5,6,1,2,9,4] => 10101001 => [1,1,1,1,1,2,1] => 1166
[9,7,4,5,6,1,2,3,8] => 11001000 => [2,2,1,3] => 365
[8,9,4,5,6,1,2,3,7] => 01001000 => [1,1,2,1,3] => 502
[8,9,7,5,6,1,2,3,4] => 01101000 => [1,2,1,1,3] => 476
[8,7,4,5,6,1,2,9,3] => 11001001 => [2,2,1,2,1] => 725
[7,3,4,5,6,1,9,2,8] => 10001010 => [1,3,1,1,1,1] => 770
[9,3,4,5,6,1,8,2,7] => 10001010 => [1,3,1,1,1,1] => 770
[9,3,7,5,6,1,8,2,4] => 10101010 => [1,1,1,1,1,1,1,1] => 1430
[7,3,4,5,6,1,8,9,2] => 10001001 => [1,3,1,2,1] => 646
[2,3,4,5,6,9,1,7,8] => 00000100 => [5,1,2] => 83
[2,3,4,5,6,8,1,9,7] => 00000101 => [5,1,1,1] => 110
[2,3,4,5,9,7,1,6,8] => 00001100 => [4,2,2] => 185
[2,3,4,5,9,8,1,6,7] => 00001100 => [4,2,2] => 185
[2,3,4,9,6,7,1,5,8] => 00010100 => [3,1,1,1,2] => 407
[2,3,9,5,6,7,1,4,8] => 00100100 => [2,1,2,1,2] => 623
[2,3,9,5,6,8,1,4,7] => 00100100 => [2,1,2,1,2] => 623
[2,9,4,5,6,7,1,3,8] => 01000100 => [1,1,3,1,2] => 609
[2,9,4,5,6,8,1,3,7] => 01000100 => [1,1,3,1,2] => 609
[2,9,4,5,8,7,1,3,6] => 01001100 => [1,1,2,2,2] => 765
[2,9,4,8,6,7,1,3,5] => 01010100 => [1,1,1,1,1,1,2] => 1001
[2,9,8,5,6,7,1,3,4] => 01100100 => [1,2,2,1,2] => 731
[2,8,4,5,6,7,1,9,3] => 01000101 => [1,1,3,1,1,1] => 842
[9,3,4,5,6,7,1,2,8] => 10000100 => [1,4,1,2] => 303
[9,3,4,5,6,8,1,2,7] => 10000100 => [1,4,1,2] => 303
[9,8,4,5,6,7,1,2,3] => 11000100 => [2,3,1,2] => 452
[8,3,4,5,6,7,1,9,2] => 10000101 => [1,4,1,1,1] => 410
[2,3,4,5,6,7,9,1,8] => 00000010 => [6,1,1] => 35
[2,3,4,5,6,9,8,1,7] => 00000110 => [5,2,1] => 98
[2,3,4,5,9,7,8,1,6] => 00001010 => [4,1,1,1,1] => 275
[2,3,4,9,6,7,8,1,5] => 00010010 => [3,1,2,1,1] => 502
[2,3,9,5,6,7,8,1,4] => 00100010 => [2,1,3,1,1] => 609
[2,9,4,5,6,7,8,1,3] => 01000010 => [1,1,4,1,1] => 450
[9,3,4,5,6,7,8,1,2] => 10000010 => [1,5,1,1] => 170
[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] => 345
[3,5,2,6,4,1,8,7] => 0101101 => [1,1,1,2,1,1] => 359
[3,5,2,7,4,8,1,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,5,2,7,4,8,6,1] => 0101011 => [1,1,1,1,1,2] => 297
[4,5,7,2,3,8,6,1] => 0010011 => [2,1,2,2] => 180
[4,5,7,2,3,8,1,6] => 0010010 => [2,1,2,1,1] => 252
[4,5,6,2,3,1,8,7] => 0010101 => [2,1,1,1,1,1] => 297
[4,5,6,2,1,3,8,7] => 0011001 => [2,2,2,1] => 211
[3,5,1,6,4,2,8,7] => 0101101 => [1,1,1,2,1,1] => 359
[4,5,6,1,3,2,8,7] => 0010101 => [2,1,1,1,1,1] => 297
[4,5,6,3,1,2,8,7] => 0011001 => [2,2,2,1] => 211
[4,5,7,3,2,8,1,6] => 0011010 => [2,2,1,1,1] => 255
[4,5,7,3,2,8,6,1] => 0011011 => [2,2,1,2] => 180
[4,6,7,3,8,2,5,1] => 0010101 => [2,1,1,1,1,1] => 297
[4,6,7,3,8,2,1,5] => 0010110 => [2,1,1,2,1] => 241
[4,6,7,3,8,1,2,5] => 0010100 => [2,1,1,1,2] => 207
[4,5,7,3,1,8,2,6] => 0011010 => [2,2,1,1,1] => 255
[4,5,7,1,3,8,2,6] => 0010010 => [2,1,2,1,1] => 252
[3,5,1,7,4,8,2,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,1,5,7,4,8,3,6] => 1001010 => [1,2,1,1,1,1] => 345
[2,1,5,7,4,8,6,3] => 1001011 => [1,2,1,1,2] => 241
[3,5,1,7,4,8,6,2] => 0101011 => [1,1,1,1,1,2] => 297
[4,5,7,1,3,8,6,2] => 0010011 => [2,1,2,2] => 180
[4,5,7,3,1,8,6,2] => 0011011 => [2,2,1,2] => 180
[4,6,7,3,8,1,5,2] => 0010101 => [2,1,1,1,1,1] => 297
[4,6,7,3,8,5,1,2] => 0010110 => [2,1,1,2,1] => 241
[4,6,7,3,8,5,2,1] => 0010111 => [2,1,1,3] => 117
[5,6,7,8,3,1,4,2] => 0001101 => [3,2,1,1] => 145
[5,6,7,8,1,3,4,2] => 0001001 => [3,1,2,1] => 137
[4,6,7,1,8,3,5,2] => 0010101 => [2,1,1,1,1,1] => 297
[3,6,1,7,8,4,5,2] => 0100101 => [1,1,2,1,1,1] => 359
[2,1,6,7,8,4,5,3] => 1000101 => [1,3,1,1,1] => 219
[2,1,6,7,8,4,3,5] => 1000110 => [1,3,2,1] => 185
[3,6,1,7,8,4,2,5] => 0100110 => [1,1,2,2,1] => 295
[4,6,7,1,8,3,2,5] => 0010110 => [2,1,1,2,1] => 241
[5,6,7,8,1,3,2,4] => 0001010 => [3,1,1,1,1] => 165
[4,5,7,2,1,8,3,6] => 0011010 => [2,2,1,1,1] => 255
[4,6,7,2,8,1,3,5] => 0010100 => [2,1,1,1,2] => 207
[4,6,7,2,8,3,1,5] => 0010110 => [2,1,1,2,1] => 241
[4,6,7,2,8,3,5,1] => 0010101 => [2,1,1,1,1,1] => 297
[3,6,2,7,8,4,5,1] => 0100101 => [1,1,2,1,1,1] => 359
[3,6,2,7,8,4,1,5] => 0100110 => [1,1,2,2,1] => 295
[3,6,2,7,8,1,4,5] => 0100100 => [1,1,2,1,2] => 252
[3,5,2,7,1,8,4,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,4,2,1,7,8,5,6] => 0110010 => [1,2,2,1,1] => 295
[3,4,1,2,7,8,6,5] => 0100011 => [1,1,3,2] => 171
[3,5,2,7,1,8,6,4] => 0101011 => [1,1,1,1,1,2] => 297
[3,6,2,7,8,1,5,4] => 0100101 => [1,1,2,1,1,1] => 359
[3,6,2,7,8,5,1,4] => 0100110 => [1,1,2,2,1] => 295
[3,6,2,7,8,5,4,1] => 0100111 => [1,1,2,3] => 145
[4,6,7,2,8,5,3,1] => 0010111 => [2,1,1,3] => 117
[4,6,7,2,8,5,1,3] => 0010110 => [2,1,1,2,1] => 241
[4,6,7,2,8,1,5,3] => 0010101 => [2,1,1,1,1,1] => 297
[4,5,7,2,1,8,6,3] => 0011011 => [2,2,1,2] => 180
[4,5,7,1,2,8,6,3] => 0010011 => [2,1,2,2] => 180
[3,5,1,7,2,8,6,4] => 0101011 => [1,1,1,1,1,2] => 297
[2,1,5,7,3,8,6,4] => 1001011 => [1,2,1,1,2] => 241
[2,1,6,7,8,3,5,4] => 1000101 => [1,3,1,1,1] => 219
[3,6,1,7,8,2,5,4] => 0100101 => [1,1,2,1,1,1] => 359
[4,6,7,1,8,2,5,3] => 0010101 => [2,1,1,1,1,1] => 297
[5,6,7,8,1,2,4,3] => 0001001 => [3,1,2,1] => 137
[5,6,7,8,2,1,4,3] => 0001101 => [3,2,1,1] => 145
[5,6,7,8,2,4,1,3] => 0001010 => [3,1,1,1,1] => 165
[5,6,7,8,2,4,3,1] => 0001011 => [3,1,1,2] => 117
[5,6,7,8,1,4,2,3] => 0001010 => [3,1,1,1,1] => 165
[4,6,7,1,8,5,2,3] => 0010110 => [2,1,1,2,1] => 241
[3,6,1,7,8,5,2,4] => 0100110 => [1,1,2,2,1] => 295
[2,1,6,7,8,5,3,4] => 1000110 => [1,3,2,1] => 185
[3,6,1,7,8,5,4,2] => 0100111 => [1,1,2,3] => 145
[4,6,7,1,8,5,3,2] => 0010111 => [2,1,1,3] => 117
[5,6,7,8,1,4,3,2] => 0001011 => [3,1,1,2] => 117
[5,6,7,8,4,1,3,2] => 0001101 => [3,2,1,1] => 145
[3,4,2,1,6,5,8,7,10,9] => 011010101 => [1,2,1,1,1,1,1,1] => 4004
[3,5,2,6,4,1,8,7,10,9] => 010110101 => [1,1,1,2,1,1,1,1] => 4274
[3,5,2,7,4,8,6,1,10,9] => 010101101 => [1,1,1,1,1,2,1,1] => 4202
[3,5,2,7,4,9,6,10,8,1] => 010101011 => [1,1,1,1,1,1,1,2] => 3432
[2,1,5,6,4,3,8,7,10,9] => 100110101 => [1,2,2,1,1,1,1] => 3584
[4,5,6,3,2,1,8,7,10,9] => 001110101 => [2,3,1,1,1,1] => 2244
[4,5,7,3,2,8,6,1,10,9] => 001101101 => [2,2,1,2,1,1] => 2661
[4,5,7,3,2,9,6,10,8,1] => 001101011 => [2,2,1,1,1,2] => 2161
[2,1,5,7,4,8,6,3,10,9] => 100101101 => [1,2,1,1,2,1,1] => 3484
[4,6,7,3,8,5,2,1,10,9] => 001011101 => [2,1,1,3,1,1] => 2172
[4,6,7,3,9,5,2,10,8,1] => 001011011 => [2,1,1,2,1,2] => 2179
[2,1,5,7,4,9,6,10,8,3] => 100101011 => [1,2,1,1,1,1,2] => 2838
[4,6,8,3,9,5,10,7,2,1] => 001010111 => [2,1,1,1,1,3] => 1430
[2,1,4,3,7,8,6,5,10,9] => 101001101 => [1,1,1,2,2,1,1] => 3754
[3,4,2,1,7,8,6,5,10,9] => 011001101 => [1,2,2,2,1,1] => 3164
[3,6,2,7,8,5,4,1,10,9] => 010011101 => [1,1,2,3,1,1] => 2704
[3,6,2,7,9,5,4,10,8,1] => 010011011 => [1,1,2,2,1,2] => 2694
[2,1,6,7,8,5,4,3,10,9] => 100011101 => [1,3,3,1,1] => 1849
[5,6,7,8,4,3,2,1,10,9] => 000111101 => [3,4,1,1] => 854
[5,6,7,9,4,3,2,10,8,1] => 000111011 => [3,3,1,2] => 1038
[2,1,6,7,9,5,4,10,8,3] => 100011011 => [1,3,2,1,2] => 1794
[5,6,8,9,4,3,10,7,2,1] => 000110111 => [3,2,1,3] => 802
[2,1,4,3,7,9,6,10,8,5] => 101001011 => [1,1,1,2,1,1,2] => 3040
[3,4,2,1,7,9,6,10,8,5] => 011001011 => [1,2,2,1,1,2] => 2558
[3,6,2,8,9,5,10,7,4,1] => 010010111 => [1,1,2,1,1,3] => 1762
[2,1,6,8,9,5,10,7,4,3] => 100010111 => [1,3,1,1,3] => 1177
[5,7,8,9,4,10,6,3,2,1] => 000101111 => [3,1,1,4] => 451
[6,7,8,9,10,1,4,5,3,2] => 000010011 => [4,1,2,2] => 666
[6,7,8,9,10,1,4,5,2,3] => 000010010 => [4,1,2,1,1] => 901
[6,7,8,9,10,4,3,2,1,5] => 000011110 => [4,4,1] => 406
[6,7,8,9,10,1,3,4,5,2] => 000010001 => [4,1,3,1] => 626
[6,7,8,9,10,3,4,1,2,5] => 000010100 => [4,1,1,1,2] => 726
[6,7,8,9,10,3,4,2,1,5] => 000010110 => [4,1,1,2,1] => 851
[6,7,8,9,10,2,3,4,1,5] => 000010010 => [4,1,2,1,1] => 901
[2,1,4,3,6,5,9,10,8,7] => 101010011 => [1,1,1,1,1,2,2] => 3036
[3,4,2,1,6,5,9,10,8,7] => 011010011 => [1,2,1,1,2,2] => 2526
[3,5,2,6,4,1,9,10,8,7] => 010110011 => [1,1,1,2,2,2] => 2728
[3,5,2,8,4,9,10,7,6,1] => 010100111 => [1,1,1,1,2,3] => 1834
[2,1,5,6,4,3,9,10,8,7] => 100110011 => [1,2,2,2,2] => 2306
[4,5,6,3,2,1,9,10,8,7] => 001110011 => [2,3,2,2] => 1486
[4,5,8,3,2,9,10,7,6,1] => 001100111 => [2,2,2,3] => 1198
[2,1,5,8,4,9,10,7,6,3] => 100100111 => [1,2,1,2,3] => 1544
[4,7,8,3,9,10,6,5,2,1] => 001001111 => [2,1,2,4] => 681
[2,1,4,3,8,9,10,7,6,5] => 101000111 => [1,1,1,3,3] => 1414
[3,4,2,1,8,9,10,7,6,5] => 011000111 => [1,2,3,3] => 1224
[3,7,2,8,9,10,6,5,4,1] => 010001111 => [1,1,3,4] => 721
[2,1,7,8,9,10,6,5,4,3] => 100001111 => [1,4,4] => 406
[6,7,8,9,10,1,5,4,3,2] => 000010111 => [4,1,1,3] => 451
[6,7,8,9,10,5,4,3,2,1] => 000011111 => [4,5] => 126
[6,5,8,7,3,4,1,2] => 1011010 => [1,1,2,1,1,1] => 359
[3,6,7,4,5,8,1,2] => 0010010 => [2,1,2,1,1] => 252
[2,6,7,4,5,1,8,3] => 0010101 => [2,1,1,1,1,1] => 297
[1,6,7,4,5,2,3,8] => 0010100 => [2,1,1,1,2] => 207
[1,5,4,7,6,2,3,8] => 0101100 => [1,1,1,2,2] => 255
[2,5,4,7,6,1,8,3] => 0101101 => [1,1,1,2,1,1] => 359
[3,5,4,7,6,8,1,2] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,5,3,7,8,6,1,2] => 0100110 => [1,1,2,2,1] => 295
[5,4,3,8,7,6,1,2] => 1101110 => [2,1,3,1] => 157
[6,4,8,3,7,5,1,2] => 1010110 => [1,1,1,1,2,1] => 345
[6,3,8,4,5,7,1,2] => 1010010 => [1,1,1,2,1,1] => 359
[5,3,4,8,6,7,1,2] => 1001010 => [1,2,1,1,1,1] => 345
[4,3,5,6,8,7,1,2] => 1000110 => [1,3,2,1] => 185
[3,2,5,6,1,8,7,4] => 1001011 => [1,2,1,1,2] => 241
[4,2,5,6,8,1,7,3] => 1000101 => [1,3,1,1,1] => 219
[5,2,4,8,6,1,7,3] => 1001101 => [1,2,2,1,1] => 295
[6,2,8,4,5,1,7,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,8,2,4,5,1,6,3] => 0100101 => [1,1,2,1,1,1] => 359
[7,8,1,4,5,2,3,6] => 0100100 => [1,1,2,1,2] => 252
[6,1,8,4,5,2,3,7] => 1010100 => [1,1,1,1,1,2] => 297
[5,1,4,8,6,2,3,7] => 1001100 => [1,2,2,2] => 211
[4,1,3,2,8,6,5,7] => 1010110 => [1,1,1,1,2,1] => 345
[5,1,3,8,2,6,4,7] => 1001010 => [1,2,1,1,1,1] => 345
[6,1,8,3,2,5,4,7] => 1011010 => [1,1,2,1,1,1] => 359
[7,8,1,3,2,5,4,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[7,8,2,3,1,5,6,4] => 0101001 => [1,1,1,1,2,1] => 345
[6,2,8,3,1,5,7,4] => 1011001 => [1,1,2,2,1] => 295
[5,2,3,8,1,6,7,4] => 1001001 => [1,2,1,2,1] => 281
[6,3,8,2,1,7,5,4] => 1011011 => [1,1,2,1,2] => 252
[7,8,3,2,1,6,5,4] => 0111011 => [1,3,1,2] => 157
[7,8,4,2,6,1,5,3] => 0110101 => [1,2,1,1,1,1] => 345
[5,4,2,8,7,1,6,3] => 1101101 => [2,1,2,1,1] => 252
[4,5,2,7,8,1,6,3] => 0100101 => [1,1,2,1,1,1] => 359
[2,5,3,7,1,6,8,4] => 0101001 => [1,1,1,1,2,1] => 345
[1,5,3,7,2,6,4,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,6,7,3,2,5,4,8] => 0011010 => [2,2,1,1,1] => 255
[2,6,7,3,1,5,8,4] => 0011001 => [2,2,2,1] => 211
[3,6,7,2,1,8,5,4] => 0011011 => [2,2,1,2] => 180
[7,8,5,6,2,1,4,3] => 0101101 => [1,1,1,2,1,1] => 359
[6,5,8,7,1,2,3,4] => 1011000 => [1,1,2,3] => 145
[5,4,1,8,7,2,3,6] => 1101100 => [2,1,2,2] => 180
[6,4,8,1,7,2,3,5] => 1010100 => [1,1,1,1,1,2] => 297
[7,8,3,1,2,6,4,5] => 0110010 => [1,2,2,1,1] => 295
[5,3,1,8,2,7,4,6] => 1101010 => [2,1,1,1,1,1] => 297
[4,3,1,2,8,7,5,6] => 1100110 => [2,2,2,1] => 211
[4,2,1,3,8,5,7,6] => 1100101 => [2,2,1,1,1] => 255
[5,2,1,8,3,4,7,6] => 1101001 => [2,1,1,2,1] => 241
[6,2,8,1,3,4,7,5] => 1010001 => [1,1,1,3,1] => 219
[7,8,2,1,3,4,6,5] => 0110001 => [1,2,3,1] => 185
[4,3,1,2,6,5,8,7] => 1100101 => [2,2,1,1,1] => 255
[5,3,1,6,2,4,8,7] => 1101001 => [2,1,1,2,1] => 241
[6,3,1,5,2,4,8,7] => 1101001 => [2,1,1,2,1] => 241
[7,3,1,5,2,8,4,6] => 1101010 => [2,1,1,1,1,1] => 297
[8,4,5,1,2,7,3,6] => 1010010 => [1,1,1,2,1,1] => 359
[7,4,5,1,2,8,3,6] => 1010010 => [1,1,1,2,1,1] => 359
[6,4,5,1,2,3,8,7] => 1010001 => [1,1,1,3,1] => 219
[5,4,6,1,2,3,8,7] => 1010001 => [1,1,1,3,1] => 219
[2,1,6,5,3,4,8,7] => 1011001 => [1,1,2,2,1] => 295
[3,6,1,5,2,4,8,7] => 0101001 => [1,1,1,1,2,1] => 345
[4,6,5,1,2,3,8,7] => 0110001 => [1,2,3,1] => 185
[5,6,4,1,2,3,8,7] => 0110001 => [1,2,3,1] => 185
[6,5,4,1,2,3,8,7] => 1110001 => [3,3,1] => 95
[7,5,4,1,2,8,3,6] => 1110010 => [3,2,1,1] => 145
[8,6,4,1,7,2,3,5] => 1110100 => [3,1,1,2] => 117
[7,6,4,1,8,2,3,5] => 1110100 => [3,1,1,2] => 117
[6,7,4,1,8,2,3,5] => 0110100 => [1,2,1,1,2] => 241
[5,7,4,1,2,8,3,6] => 0110010 => [1,2,2,1,1] => 295
[4,7,5,1,2,8,3,6] => 0110010 => [1,2,2,1,1] => 295
[3,7,1,5,2,8,4,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,1,7,5,3,8,4,6] => 1011010 => [1,1,2,1,1,1] => 359
[2,1,8,5,3,7,4,6] => 1011010 => [1,1,2,1,1,1] => 359
[3,8,1,5,2,7,4,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,8,5,1,2,7,3,6] => 0110010 => [1,2,2,1,1] => 295
[5,8,4,1,2,7,3,6] => 0110010 => [1,2,2,1,1] => 295
[6,8,4,1,7,2,3,5] => 0110100 => [1,2,1,1,2] => 241
[8,7,4,1,6,2,3,5] => 1110100 => [3,1,1,2] => 117
[5,8,6,7,1,2,3,4] => 0101000 => [1,1,1,1,3] => 165
[4,8,6,1,7,2,3,5] => 0110100 => [1,2,1,1,2] => 241
[3,8,1,6,7,2,4,5] => 0100100 => [1,1,2,1,2] => 252
[2,1,8,6,7,3,4,5] => 1010100 => [1,1,1,1,1,2] => 297
[2,1,7,6,8,3,4,5] => 1010100 => [1,1,1,1,1,2] => 297
[3,7,1,6,8,2,4,5] => 0100100 => [1,1,2,1,2] => 252
[4,7,6,1,8,2,3,5] => 0110100 => [1,2,1,1,2] => 241
[5,7,6,8,1,2,3,4] => 0101000 => [1,1,1,1,3] => 165
[5,4,7,1,2,8,3,6] => 1010010 => [1,1,1,2,1,1] => 359
[6,4,7,1,8,2,3,5] => 1010100 => [1,1,1,1,1,2] => 297
[7,4,6,1,8,2,3,5] => 1010100 => [1,1,1,1,1,2] => 297
[8,4,6,1,7,2,3,5] => 1010100 => [1,1,1,1,1,2] => 297
[8,3,1,6,7,2,4,5] => 1100100 => [2,2,1,2] => 180
[7,3,1,6,8,2,4,5] => 1100100 => [2,2,1,2] => 180
[6,3,1,7,8,2,4,5] => 1100100 => [2,2,1,2] => 180
[5,3,1,7,2,8,4,6] => 1101010 => [2,1,1,1,1,1] => 297
[4,3,1,2,7,8,5,6] => 1100010 => [2,3,1,1] => 171
[2,1,4,3,8,7,5,6] => 1010110 => [1,1,1,1,2,1] => 345
[3,4,1,2,8,7,5,6] => 0100110 => [1,1,2,2,1] => 295
[6,3,1,8,7,2,4,5] => 1101100 => [2,1,2,2] => 180
[7,3,1,8,6,2,4,5] => 1101100 => [2,1,2,2] => 180
[8,4,7,1,6,2,3,5] => 1010100 => [1,1,1,1,1,2] => 297
[7,4,8,1,6,2,3,5] => 1010100 => [1,1,1,1,1,2] => 297
[5,4,8,1,2,7,3,6] => 1010010 => [1,1,1,2,1,1] => 359
[4,5,8,1,2,7,3,6] => 0010010 => [2,1,2,1,1] => 252
[3,5,1,8,2,7,4,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,1,5,8,3,7,4,6] => 1001010 => [1,2,1,1,1,1] => 345
[2,1,6,8,7,3,4,5] => 1001100 => [1,2,2,2] => 211
[3,6,1,8,7,2,4,5] => 0101100 => [1,1,1,2,2] => 255
[4,6,8,1,7,2,3,5] => 0010100 => [2,1,1,1,2] => 207
[5,6,8,7,1,2,3,4] => 0011000 => [2,2,3] => 105
[7,5,8,6,1,2,3,4] => 1011000 => [1,1,2,3] => 145
[8,5,7,6,1,2,3,4] => 1011000 => [1,1,2,3] => 145
[5,7,8,6,1,2,3,4] => 0011000 => [2,2,3] => 105
[4,7,8,1,6,2,3,5] => 0010100 => [2,1,1,1,2] => 207
[3,7,1,8,6,2,4,5] => 0101100 => [1,1,1,2,2] => 255
[2,1,7,8,6,3,4,5] => 1001100 => [1,2,2,2] => 211
[2,1,8,7,6,3,4,5] => 1011100 => [1,1,3,2] => 171
[3,8,1,7,6,2,4,5] => 0101100 => [1,1,1,2,2] => 255
[4,8,7,1,6,2,3,5] => 0110100 => [1,2,1,1,2] => 241
[5,8,7,6,1,2,3,4] => 0111000 => [1,3,3] => 95
[6,8,7,5,1,2,3,4] => 0111000 => [1,3,3] => 95
[6,4,7,3,8,5,1,2] => 1010110 => [1,1,1,1,2,1] => 345
[6,4,7,3,5,8,1,2] => 1010010 => [1,1,1,2,1,1] => 359
[6,4,7,2,5,1,8,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,4,2,7,6,1,3,8] => 1101100 => [2,1,2,2] => 180
[5,4,2,7,6,1,8,3] => 1101101 => [2,1,2,1,1] => 252
[5,4,3,7,6,8,1,2] => 1101010 => [2,1,1,1,1,1] => 297
[5,4,3,7,8,6,1,2] => 1100110 => [2,2,2,1] => 211
[6,4,8,3,5,7,1,2] => 1010010 => [1,1,1,2,1,1] => 359
[5,4,3,8,6,7,1,2] => 1101010 => [2,1,1,1,1,1] => 297
[5,4,3,6,8,7,1,2] => 1100110 => [2,2,2,1] => 211
[5,4,2,6,7,1,8,3] => 1100101 => [2,2,1,1,1] => 255
[5,4,2,6,7,1,3,8] => 1100100 => [2,2,1,2] => 180
[5,3,2,6,1,7,4,8] => 1101010 => [2,1,1,1,1,1] => 297
[5,3,2,6,1,7,8,4] => 1101001 => [2,1,1,2,1] => 241
[5,3,2,6,1,8,7,4] => 1101011 => [2,1,1,1,2] => 207
[5,4,2,6,8,1,7,3] => 1100101 => [2,2,1,1,1] => 255
[5,4,2,8,6,1,7,3] => 1101101 => [2,1,2,1,1] => 252
[6,4,8,2,5,1,7,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,8,4,2,5,1,6,3] => 0110101 => [1,2,1,1,1,1] => 345
[7,8,4,2,5,1,3,6] => 0110100 => [1,2,1,1,2] => 241
[5,4,2,8,6,1,3,7] => 1101100 => [2,1,2,2] => 180
[5,3,2,6,1,8,4,7] => 1101010 => [2,1,1,1,1,1] => 297
[4,3,2,1,6,8,5,7] => 1110010 => [3,2,1,1] => 145
[4,3,2,1,8,6,5,7] => 1110110 => [3,1,2,1] => 137
[5,3,2,8,1,6,4,7] => 1101010 => [2,1,1,1,1,1] => 297
[6,3,8,2,1,5,4,7] => 1011010 => [1,1,2,1,1,1] => 359
[7,8,3,2,1,5,4,6] => 0111010 => [1,3,1,1,1] => 219
[7,8,3,2,1,5,6,4] => 0111001 => [1,3,2,1] => 185
[6,3,8,2,1,5,7,4] => 1011001 => [1,1,2,2,1] => 295
[5,3,2,8,1,6,7,4] => 1101001 => [2,1,1,2,1] => 241
[5,4,2,7,8,1,6,3] => 1100101 => [2,2,1,1,1] => 255
[5,3,2,7,1,8,6,4] => 1101011 => [2,1,1,1,2] => 207
[5,3,2,7,1,6,8,4] => 1101001 => [2,1,1,2,1] => 241
[5,3,2,7,1,6,4,8] => 1101010 => [2,1,1,1,1,1] => 297
[6,3,7,2,1,5,4,8] => 1011010 => [1,1,2,1,1,1] => 359
[6,3,7,2,1,5,8,4] => 1011001 => [1,1,2,2,1] => 295
[6,3,7,2,1,8,5,4] => 1011011 => [1,1,2,1,2] => 252
[6,4,7,2,8,1,5,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,5,7,8,2,1,4,3] => 1001101 => [1,2,2,1,1] => 295
[6,5,8,7,2,1,3,4] => 1011100 => [1,1,3,2] => 171
[6,3,7,2,1,8,4,5] => 1011010 => [1,1,2,1,1,1] => 359
[6,3,7,2,1,4,8,5] => 1011001 => [1,1,2,2,1] => 295
[6,3,7,2,1,4,5,8] => 1011000 => [1,1,2,3] => 145
[5,3,2,7,1,4,8,6] => 1101001 => [2,1,1,2,1] => 241
[5,4,2,8,7,1,3,6] => 1101100 => [2,1,2,2] => 180
[7,8,4,2,6,1,3,5] => 0110100 => [1,2,1,1,2] => 241
[7,8,3,2,1,6,4,5] => 0111010 => [1,3,1,1,1] => 219
[6,3,8,2,1,7,4,5] => 1011010 => [1,1,2,1,1,1] => 359
[5,3,2,8,1,7,4,6] => 1101010 => [2,1,1,1,1,1] => 297
[4,3,2,1,8,7,5,6] => 1110110 => [3,1,2,1] => 137
[4,3,2,1,7,5,8,6] => 1110101 => [3,1,1,1,1] => 165
[4,3,2,1,7,5,6,8] => 1110100 => [3,1,1,2] => 117
[4,3,2,1,8,5,7,6] => 1110101 => [3,1,1,1,1] => 165
[5,3,2,8,1,4,7,6] => 1101001 => [2,1,1,2,1] => 241
[6,3,8,2,1,4,7,5] => 1011001 => [1,1,2,2,1] => 295
[7,8,3,2,1,4,6,5] => 0111001 => [1,3,2,1] => 185
[6,3,8,2,1,4,5,7] => 1011000 => [1,1,2,3] => 145
[4,3,2,1,8,5,6,7] => 1110100 => [3,1,1,2] => 117
[4,3,2,1,5,8,6,7] => 1110010 => [3,2,1,1] => 145
[7,8,5,6,1,2,4,3] => 0101001 => [1,1,1,1,2,1] => 345
[7,8,4,1,6,2,5,3] => 0110101 => [1,2,1,1,1,1] => 345
[7,8,1,4,6,2,5,3] => 0100101 => [1,1,2,1,1,1] => 359
[6,1,8,4,7,2,5,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[1,6,8,4,7,2,5,3] => 0010101 => [2,1,1,1,1,1] => 297
[1,6,8,3,2,7,5,4] => 0011011 => [2,2,1,2] => 180
[6,1,8,3,2,7,5,4] => 1011011 => [1,1,2,1,2] => 252
[7,8,1,3,2,6,5,4] => 0101011 => [1,1,1,1,1,2] => 297
[7,8,3,1,2,6,5,4] => 0110011 => [1,2,2,2] => 211
[7,8,3,4,6,5,1,2] => 0100110 => [1,1,2,2,1] => 295
[7,8,2,4,6,1,5,3] => 0100101 => [1,1,2,1,1,1] => 359
[7,8,2,3,1,6,5,4] => 0101011 => [1,1,1,1,1,2] => 297
[7,8,2,1,3,6,5,4] => 0110011 => [1,2,2,2] => 211
[7,8,1,2,3,6,5,4] => 0100011 => [1,1,3,2] => 171
[6,1,8,2,3,7,5,4] => 1010011 => [1,1,1,2,2] => 255
[1,6,8,2,3,7,5,4] => 0010011 => [2,1,2,2] => 180
[1,5,2,8,3,7,6,4] => 0101011 => [1,1,1,1,1,2] => 297
[5,1,2,8,3,7,6,4] => 1001011 => [1,2,1,1,2] => 241
[5,2,1,8,3,7,6,4] => 1101011 => [2,1,1,1,2] => 207
[6,2,8,1,3,7,5,4] => 1010011 => [1,1,1,2,2] => 255
[6,2,8,3,1,7,5,4] => 1011011 => [1,1,2,1,2] => 252
[6,2,8,4,7,1,5,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,3,8,4,7,5,1,2] => 1010110 => [1,1,1,1,2,1] => 345
[3,6,8,4,7,5,1,2] => 0010110 => [2,1,1,2,1] => 241
[2,6,8,4,7,1,5,3] => 0010101 => [2,1,1,1,1,1] => 297
[2,6,8,3,1,7,5,4] => 0011011 => [2,2,1,2] => 180
[2,6,8,1,3,7,5,4] => 0010011 => [2,1,2,2] => 180
[2,5,1,8,3,7,6,4] => 0101011 => [1,1,1,1,1,2] => 297
[1,2,5,8,3,7,6,4] => 0001011 => [3,1,1,2] => 117
[2,4,1,3,8,7,6,5] => 0100111 => [1,1,2,3] => 145
[2,5,3,8,1,7,6,4] => 0101011 => [1,1,1,1,1,2] => 297
[2,5,4,8,7,1,6,3] => 0101101 => [1,1,1,2,1,1] => 359
[3,5,4,8,7,6,1,2] => 0101110 => [1,1,1,3,1] => 219
[5,3,4,8,7,6,1,2] => 1001110 => [1,2,3,1] => 185
[5,2,4,8,7,1,6,3] => 1001101 => [1,2,2,1,1] => 295
[5,2,3,8,1,7,6,4] => 1001011 => [1,2,1,1,2] => 241
[4,2,1,3,8,7,6,5] => 1100111 => [2,2,3] => 105
[4,1,2,3,8,7,6,5] => 1000111 => [1,3,3] => 95
[1,4,2,3,8,7,6,5] => 0100111 => [1,1,2,3] => 145
[4,1,3,2,8,7,6,5] => 1010111 => [1,1,1,1,3] => 165
[4,3,1,2,8,7,6,5] => 1100111 => [2,2,3] => 105
[6,3,8,1,2,7,5,4] => 1010011 => [1,1,1,2,2] => 255
[5,3,1,8,2,7,6,4] => 1101011 => [2,1,1,1,2] => 207
[5,1,3,8,2,7,6,4] => 1001011 => [1,2,1,1,2] => 241
[1,5,3,8,2,7,6,4] => 0101011 => [1,1,1,1,1,2] => 297
[1,5,4,8,7,2,6,3] => 0101101 => [1,1,1,2,1,1] => 359
[5,1,4,8,7,2,6,3] => 1001101 => [1,2,2,1,1] => 295
[5,4,1,8,7,2,6,3] => 1101101 => [2,1,2,1,1] => 252
[6,4,8,1,7,2,5,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,5,8,7,1,2,4,3] => 1011001 => [1,1,2,2,1] => 295
[5,6,8,7,3,4,1,2] => 0011010 => [2,2,1,1,1] => 255
[5,6,8,7,2,1,4,3] => 0011101 => [2,3,1,1] => 171
[4,5,1,8,7,2,6,3] => 0101101 => [1,1,1,2,1,1] => 359
[4,1,5,8,7,2,6,3] => 1001101 => [1,2,2,1,1] => 295
[1,4,5,8,7,2,6,3] => 0001101 => [3,2,1,1] => 145
[1,3,5,8,2,7,6,4] => 0001011 => [3,1,1,2] => 117
[3,1,5,8,2,7,6,4] => 1001011 => [1,2,1,1,2] => 241
[3,6,8,1,2,7,5,4] => 0010011 => [2,1,2,2] => 180
[3,6,8,2,1,7,5,4] => 0011011 => [2,2,1,2] => 180
[4,6,8,2,7,1,5,3] => 0010101 => [2,1,1,1,1,1] => 297
[4,6,8,3,7,5,1,2] => 0010110 => [2,1,1,2,1] => 241
[4,5,3,8,7,6,1,2] => 0101110 => [1,1,1,3,1] => 219
[4,5,2,8,7,1,6,3] => 0101101 => [1,1,1,2,1,1] => 359
[3,5,2,8,1,7,6,4] => 0101011 => [1,1,1,1,1,2] => 297
[3,1,4,2,8,7,6,5] => 1010111 => [1,1,1,1,3] => 165
[3,1,2,4,8,7,6,5] => 1000111 => [1,3,3] => 95
[3,2,5,8,1,7,6,4] => 1001011 => [1,2,1,1,2] => 241
[4,2,5,8,7,1,6,3] => 1001101 => [1,2,2,1,1] => 295
[4,3,5,8,7,6,1,2] => 1001110 => [1,2,3,1] => 185
[3,4,5,8,7,6,1,2] => 0001110 => [3,3,1] => 95
[2,4,5,8,7,1,6,3] => 0001101 => [3,2,1,1] => 145
[2,3,5,8,1,7,6,4] => 0001011 => [3,1,1,2] => 117
[4,1,3,2,6,5,8,7] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,1,3,2,6,4,8,7] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,1,3,2,5,4,8,7] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,1,3,2,5,4,8,6] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,1,3,2,5,4,7,6] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,1,4,2,5,3,7,6] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,1,4,2,5,3,8,6] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,1,4,2,5,3,8,7] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,1,4,2,6,3,8,7] => 1010101 => [1,1,1,1,1,1,1] => 429
[2,1,6,3,5,4,8,7] => 1010101 => [1,1,1,1,1,1,1] => 429
[3,1,6,2,5,4,8,7] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,1,6,2,5,3,8,7] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,2,5,1,4,3,8,7] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,2,6,1,4,3,8,7] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,2,7,1,4,3,8,6] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,2,8,1,4,3,7,6] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,2,8,1,4,3,7,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,2,7,1,4,3,8,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,2,6,1,4,3,8,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,2,5,1,4,3,8,6] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,1,7,2,5,3,8,6] => 1010101 => [1,1,1,1,1,1,1] => 429
[3,1,7,2,5,4,8,6] => 1010101 => [1,1,1,1,1,1,1] => 429
[2,1,7,3,5,4,8,6] => 1010101 => [1,1,1,1,1,1,1] => 429
[2,1,8,3,5,4,7,6] => 1010101 => [1,1,1,1,1,1,1] => 429
[3,1,8,2,5,4,7,6] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,1,8,2,5,3,7,6] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,2,5,1,4,3,7,6] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,2,6,1,4,3,7,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,1,4,3,8,2,6,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,1,4,3,7,2,6,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,1,5,3,7,2,6,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,1,5,3,8,2,6,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,2,6,1,5,3,7,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,1,8,2,6,3,7,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,1,8,2,6,3,7,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[3,1,8,2,6,4,7,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[2,1,8,3,6,4,7,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[2,1,7,3,6,4,8,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,1,7,2,6,3,8,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,1,7,2,6,3,8,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,2,6,1,5,3,8,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,2,7,1,5,3,8,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,2,8,1,5,3,7,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,1,5,2,6,3,7,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,1,5,2,7,3,8,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,1,4,2,7,3,8,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,1,4,2,6,3,7,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,1,3,2,6,4,7,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,1,3,2,6,4,8,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,1,3,2,7,4,8,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,1,3,2,7,4,8,6] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,1,3,2,7,5,8,6] => 1010101 => [1,1,1,1,1,1,1] => 429
[2,1,4,3,8,5,7,6] => 1010101 => [1,1,1,1,1,1,1] => 429
[3,1,4,2,8,5,7,6] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,1,3,2,8,5,7,6] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,1,3,2,8,4,7,6] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,1,3,2,8,4,7,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,4,7,1,3,2,6,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,4,8,1,3,2,6,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,3,8,1,4,2,6,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,3,7,1,4,2,6,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,1,4,2,8,3,7,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,1,4,2,8,3,7,6] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,1,5,2,8,3,7,6] => 1010101 => [1,1,1,1,1,1,1] => 429
[3,1,5,2,8,4,7,6] => 1010101 => [1,1,1,1,1,1,1] => 429
[2,1,5,3,8,4,7,6] => 1010101 => [1,1,1,1,1,1,1] => 429
[2,1,6,3,8,4,7,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[3,1,6,2,8,4,7,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,1,6,2,8,3,7,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,1,6,2,8,3,7,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,1,5,2,8,3,7,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,3,7,1,5,2,6,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,3,8,1,5,2,6,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,2,7,3,8,1,5,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,2,8,3,7,1,5,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,3,7,2,6,1,5,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,1,8,3,7,2,6,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,1,8,3,7,2,6,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[3,1,8,4,7,2,6,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[2,1,8,4,7,3,6,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[2,1,7,4,8,3,6,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[3,1,7,4,8,2,6,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,1,7,3,8,2,6,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,1,7,3,8,2,6,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,3,8,2,6,1,5,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,2,6,3,7,1,5,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,2,6,3,8,1,5,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[3,4,2,6,8,1,5,7] => 0100100 => [1,1,2,1,2] => 252
[5,3,6,2,8,1,4,7] => 1010100 => [1,1,1,1,1,2] => 297
[5,3,6,2,4,8,1,7] => 1010010 => [1,1,1,2,1,1] => 359
[5,7,3,8,2,4,1,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,7,3,8,2,4,6,1] => 0101001 => [1,1,1,1,2,1] => 345
[7,4,2,5,8,3,6,1] => 1100101 => [2,2,1,1,1] => 255
[7,4,2,5,8,3,1,6] => 1100110 => [2,2,2,1] => 211
[4,5,2,6,3,8,1,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,5,2,1,6,8,3,7] => 0110010 => [1,2,2,1,1] => 295
[5,3,1,6,8,2,4,7] => 1100100 => [2,2,1,2] => 180
[5,6,2,8,1,3,4,7] => 0101000 => [1,1,1,1,3] => 165
[3,5,6,1,4,8,2,7] => 0010010 => [2,1,2,1,1] => 252
[4,1,5,6,3,8,2,7] => 1001010 => [1,2,1,1,1,1] => 345
[4,5,1,6,3,8,2,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,5,6,3,2,8,1,7] => 0011010 => [2,2,1,1,1] => 255
[7,4,5,3,8,2,1,6] => 1010110 => [1,1,1,1,2,1] => 345
[7,4,5,3,8,2,6,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,7,4,8,3,2,5,1] => 0101101 => [1,1,1,2,1,1] => 359
[6,7,4,8,3,2,1,5] => 0101110 => [1,1,1,3,1] => 219
[6,7,4,1,8,3,2,5] => 0110110 => [1,2,1,2,1] => 281
[7,4,5,3,1,8,2,6] => 1011010 => [1,1,2,1,1,1] => 359
[4,7,1,5,8,3,2,6] => 0100110 => [1,1,2,2,1] => 295
[5,3,7,8,1,4,2,6] => 1001010 => [1,2,1,1,1,1] => 345
[7,5,8,2,4,6,1,3] => 1010010 => [1,1,1,2,1,1] => 359
[7,3,5,8,1,4,6,2] => 1001001 => [1,2,1,2,1] => 281
[4,5,1,7,8,3,6,2] => 0100101 => [1,1,2,1,1,1] => 359
[7,4,1,5,8,3,6,2] => 1100101 => [2,2,1,1,1] => 255
[6,7,4,3,8,1,5,2] => 0110101 => [1,2,1,1,1,1] => 345
[6,7,4,8,3,1,5,2] => 0101101 => [1,1,1,2,1,1] => 359
[6,7,4,8,3,5,2,1] => 0101011 => [1,1,1,1,1,2] => 297
[5,6,7,3,8,4,2,1] => 0010111 => [2,1,1,3] => 117
[5,6,7,3,1,8,4,2] => 0011011 => [2,2,1,2] => 180
[5,6,1,7,3,8,4,2] => 0101011 => [1,1,1,1,1,2] => 297
[5,1,6,7,3,8,4,2] => 1001011 => [1,2,1,1,2] => 241
[6,4,7,1,8,3,5,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,7,8,3,1,4,5,2] => 0011001 => [2,2,2,1] => 211
[6,7,2,8,4,5,1,3] => 0101010 => [1,1,1,1,1,1,1] => 429
[6,7,2,8,4,1,3,5] => 0101100 => [1,1,1,2,2] => 255
[6,1,7,4,8,3,2,5] => 1010110 => [1,1,1,1,2,1] => 345
[5,1,6,7,3,2,8,4] => 1001101 => [1,2,2,1,1] => 295
[5,6,1,7,3,2,8,4] => 0101101 => [1,1,1,2,1,1] => 359
[5,6,7,3,2,1,8,4] => 0011101 => [2,3,1,1] => 171
[5,6,7,3,2,8,4,1] => 0011011 => [2,2,1,2] => 180
[5,6,2,7,3,8,4,1] => 0101011 => [1,1,1,1,1,2] => 297
[5,6,2,7,3,1,8,4] => 0101101 => [1,1,1,2,1,1] => 359
[5,6,2,1,7,3,8,4] => 0110101 => [1,2,1,1,1,1] => 345
[6,1,7,4,2,8,3,5] => 1011010 => [1,1,2,1,1,1] => 359
[6,7,2,1,8,3,4,5] => 0110100 => [1,2,1,1,2] => 241
[7,5,8,2,1,3,4,6] => 1011000 => [1,1,2,3] => 145
[5,7,3,1,8,2,4,6] => 0110100 => [1,2,1,1,2] => 241
[4,7,1,5,2,8,3,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[7,4,2,5,1,8,3,6] => 1101010 => [2,1,1,1,1,1] => 297
[6,7,4,2,1,8,3,5] => 0111010 => [1,3,1,1,1] => 219
[6,7,4,2,8,3,1,5] => 0110110 => [1,2,1,2,1] => 281
[6,7,4,2,8,3,5,1] => 0110101 => [1,2,1,1,1,1] => 345
[3,6,7,2,8,4,5,1] => 0010101 => [2,1,1,1,1,1] => 297
[3,6,7,2,8,4,1,5] => 0010110 => [2,1,1,2,1] => 241
[3,6,7,2,1,8,4,5] => 0011010 => [2,2,1,1,1] => 255
[5,7,3,8,2,1,4,6] => 0101100 => [1,1,1,2,2] => 255
[3,4,7,8,2,1,5,6] => 0001100 => [3,2,2] => 105
[3,7,8,1,4,6,2,5] => 0010010 => [2,1,2,1,1] => 252
[3,4,7,8,2,6,1,5] => 0001010 => [3,1,1,1,1] => 165
[5,7,3,8,2,6,1,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,6,7,2,8,5,1,4] => 0010110 => [2,1,1,2,1] => 241
[3,6,7,8,5,2,1,4] => 0001110 => [3,3,1] => 95
[3,6,7,8,5,2,4,1] => 0001101 => [3,2,1,1] => 145
[6,4,7,8,2,5,3,1] => 1001011 => [1,2,1,1,2] => 241
[6,4,7,8,2,1,5,3] => 1001101 => [1,2,2,1,1] => 295
[4,1,5,7,8,2,6,3] => 1000101 => [1,3,1,1,1] => 219
[5,3,7,8,1,6,2,4] => 1001010 => [1,2,1,1,1,1] => 345
[6,7,2,8,5,1,3,4] => 0101100 => [1,1,1,2,2] => 255
[6,4,1,7,8,2,5,3] => 1100101 => [2,2,1,1,1] => 255
[5,1,6,2,7,8,4,3] => 1010011 => [1,1,1,2,2] => 255
[5,6,2,1,7,8,4,3] => 0110011 => [1,2,2,2] => 211
[5,6,2,7,1,8,4,3] => 0101011 => [1,1,1,1,1,2] => 297
[5,6,2,7,8,4,3,1] => 0100111 => [1,1,2,3] => 145
[5,6,7,2,8,4,3,1] => 0010111 => [2,1,1,3] => 117
[5,6,7,2,1,8,4,3] => 0011011 => [2,2,1,2] => 180
[5,6,1,7,2,8,4,3] => 0101011 => [1,1,1,1,1,2] => 297
[5,1,6,7,2,8,4,3] => 1001011 => [1,2,1,1,2] => 241
[6,4,7,1,8,2,5,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[3,6,7,1,8,5,2,4] => 0010110 => [2,1,1,2,1] => 241
[6,7,8,5,2,4,1,3] => 0011010 => [2,2,1,1,1] => 255
[6,7,8,3,5,1,4,2] => 0010101 => [2,1,1,1,1,1] => 297
[4,6,7,8,1,5,3,2] => 0001011 => [3,1,1,2] => 117
[5,1,6,7,8,4,3,2] => 1000111 => [1,3,3] => 95
[5,6,1,7,8,4,3,2] => 0100111 => [1,1,2,3] => 145
[5,6,7,1,8,4,3,2] => 0010111 => [2,1,1,3] => 117
[8,6,1,3,4,2,5,7] => 1100100 => [2,2,1,2] => 180
[8,3,2,5,1,6,4,7] => 1101010 => [2,1,1,1,1,1] => 297
[8,5,3,6,2,4,1,7] => 1101010 => [2,1,1,1,1,1] => 297
[5,3,2,7,4,1,8,6] => 1101101 => [2,1,2,1,1] => 252
[7,5,3,8,2,4,6,1] => 1101001 => [2,1,1,2,1] => 241
[7,2,4,5,8,3,6,1] => 1000101 => [1,3,1,1,1] => 219
[2,4,5,3,7,1,8,6] => 0010101 => [2,1,1,1,1,1] => 297
[8,2,4,5,6,3,1,7] => 1000110 => [1,3,2,1] => 185
[8,2,4,5,6,1,3,7] => 1000100 => [1,3,1,2] => 157
[8,1,2,4,5,6,3,7] => 1000010 => [1,4,1,1] => 107
[8,2,5,1,3,6,4,7] => 1010010 => [1,1,1,2,1,1] => 359
[8,5,6,2,1,4,3,7] => 1011010 => [1,1,2,1,1,1] => 359
[8,5,3,6,4,1,2,7] => 1101100 => [2,1,2,2] => 180
[8,4,1,5,6,3,2,7] => 1100110 => [2,2,2,1] => 211
[8,1,4,5,6,3,2,7] => 1000110 => [1,3,2,1] => 185
[4,5,3,7,2,1,8,6] => 0101101 => [1,1,1,2,1,1] => 359
[7,4,5,8,3,2,6,1] => 1001101 => [1,2,2,1,1] => 295
[4,3,6,7,2,8,5,1] => 1001011 => [1,2,1,1,2] => 241
[4,3,6,7,2,8,1,5] => 1001010 => [1,2,1,1,1,1] => 345
[1,4,3,6,7,2,8,5] => 0100101 => [1,1,2,1,1,1] => 359
[4,5,3,7,1,8,2,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,1,5,3,7,2,8,6] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,3,4,7,1,2,8,6] => 1001001 => [1,2,1,2,1] => 281
[7,5,8,2,1,4,6,3] => 1011001 => [1,1,2,2,1] => 295
[7,5,3,8,4,1,6,2] => 1101101 => [2,1,2,1,1] => 252
[7,4,5,8,3,6,1,2] => 1001010 => [1,2,1,1,1,1] => 345
[4,3,6,7,8,1,5,2] => 1000101 => [1,3,1,1,1] => 219
[1,6,4,7,8,3,5,2] => 0100101 => [1,1,2,1,1,1] => 359
[6,4,7,8,3,5,2,1] => 1001011 => [1,2,1,1,2] => 241
[3,5,6,7,8,4,1,2] => 0000110 => [4,2,1] => 65
[3,1,5,6,7,8,4,2] => 1000011 => [1,4,2] => 81
[4,6,1,7,8,3,5,2] => 0100101 => [1,1,2,1,1,1] => 359
[3,6,7,1,4,8,5,2] => 0010011 => [2,1,2,2] => 180
[6,2,4,1,7,8,5,3] => 1010011 => [1,1,1,2,2] => 255
[2,6,7,1,4,8,3,5] => 0010010 => [2,1,2,1,1] => 252
[4,3,6,7,8,1,2,5] => 1000100 => [1,3,1,2] => 157
[1,5,3,6,7,8,2,4] => 0100010 => [1,1,3,1,1] => 233
[3,5,6,7,8,2,1,4] => 0000110 => [4,2,1] => 65
[3,5,6,7,8,2,4,1] => 0000101 => [4,1,1,1] => 75
[5,2,7,1,3,8,4,6] => 1010010 => [1,1,1,2,1,1] => 359
[5,3,1,7,8,2,4,6] => 1100100 => [2,2,1,2] => 180
[4,5,2,7,8,1,3,6] => 0100100 => [1,1,2,1,2] => 252
[4,2,6,7,8,3,1,5] => 1000110 => [1,3,2,1] => 185
[4,2,6,7,8,3,5,1] => 1000101 => [1,3,1,1,1] => 219
[3,6,2,7,4,8,5,1] => 0101011 => [1,1,1,1,1,2] => 297
[3,6,2,7,4,8,1,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,2,1,6,4,7,8,5] => 1101001 => [2,1,1,2,1] => 241
[3,7,4,2,1,5,8,6] => 0111001 => [1,3,2,1] => 185
[1,7,3,4,2,5,8,6] => 0101001 => [1,1,1,1,2,1] => 345
[4,7,2,1,3,5,8,6] => 0110001 => [1,2,3,1] => 185
[7,8,4,2,1,3,6,5] => 0111001 => [1,3,2,1] => 185
[7,8,1,3,4,2,6,5] => 0100101 => [1,1,2,1,1,1] => 359
[7,8,3,4,2,1,6,5] => 0101101 => [1,1,1,2,1,1] => 359
[6,3,2,7,1,8,5,4] => 1101011 => [2,1,1,1,2] => 207
[3,6,2,7,1,8,5,4] => 0101011 => [1,1,1,1,1,2] => 297
[6,7,3,8,2,5,4,1] => 0101011 => [1,1,1,1,1,2] => 297
[6,4,7,8,5,2,3,1] => 1001101 => [1,2,2,1,1] => 295
[2,6,4,7,8,1,5,3] => 0100101 => [1,1,2,1,1,1] => 359
[4,6,2,7,8,1,5,3] => 0100101 => [1,1,2,1,1,1] => 359
[7,4,5,8,6,2,1,3] => 1001110 => [1,2,3,1] => 185
[7,4,1,5,8,6,2,3] => 1100110 => [2,2,2,1] => 211
[7,5,3,8,6,1,2,4] => 1101100 => [2,1,2,2] => 180
[7,5,8,2,1,6,3,4] => 1011010 => [1,1,2,1,1,1] => 359
[6,2,7,1,3,8,5,4] => 1010011 => [1,1,1,2,2] => 255
[6,3,1,7,8,2,5,4] => 1100101 => [2,2,1,1,1] => 255
[4,6,1,7,8,5,2,3] => 0100110 => [1,1,2,2,1] => 295
[5,1,2,6,7,8,4,3] => 1000011 => [1,4,2] => 81
[5,2,6,7,8,4,1,3] => 1000110 => [1,3,2,1] => 185
[5,2,6,7,8,4,3,1] => 1000111 => [1,3,3] => 95
[2,5,6,7,8,4,1,3] => 0000110 => [4,2,1] => 65
[1,5,2,6,7,8,4,3] => 0100011 => [1,1,3,2] => 171
[1,6,4,7,8,5,2,3] => 0100110 => [1,1,2,2,1] => 295
[2,6,7,1,3,8,5,4] => 0010011 => [2,1,2,2] => 180
[6,7,8,2,1,5,4,3] => 0011011 => [2,2,1,2] => 180
[6,7,3,8,5,1,4,2] => 0101101 => [1,1,1,2,1,1] => 359
[6,4,7,8,5,3,1,2] => 1001110 => [1,2,3,1] => 185
[4,5,2,3,7,6,1,8] => 0100110 => [1,1,2,2,1] => 295
[6,4,3,7,2,5,1,8] => 1101010 => [2,1,1,1,1,1] => 297
[8,4,3,6,5,1,2,7] => 1101100 => [2,1,2,2] => 180
[1,5,6,3,4,8,7,2] => 0010011 => [2,1,2,2] => 180
[4,6,2,7,3,5,1,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,2,6,7,4,5,1,8] => 1001010 => [1,2,1,1,1,1] => 345
[4,7,2,6,5,3,1,8] => 0101110 => [1,1,1,3,1] => 219
[5,7,6,2,4,3,1,8] => 0110110 => [1,2,1,2,1] => 281
[1,7,5,4,8,3,6,2] => 0110101 => [1,2,1,1,1,1] => 345
[8,7,5,4,1,3,2,6] => 1111010 => [4,1,1,1] => 75
[6,8,5,4,2,1,3,7] => 0111100 => [1,4,2] => 81
[5,8,6,2,4,1,3,7] => 0110100 => [1,2,1,1,2] => 241
[4,8,2,6,5,1,3,7] => 0101100 => [1,1,1,2,2] => 255
[3,2,8,6,5,1,4,7] => 1011100 => [1,1,3,2] => 171
[4,1,2,6,5,8,7,3] => 1001011 => [1,2,1,1,2] => 241
[5,1,6,2,4,8,7,3] => 1010011 => [1,1,1,2,2] => 255
[6,1,5,4,2,8,7,3] => 1011011 => [1,1,2,1,2] => 252
[7,1,5,4,8,2,6,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,1,5,4,7,6,2,3] => 1010110 => [1,1,1,1,2,1] => 345
[1,8,6,7,4,5,3,2] => 0101011 => [1,1,1,1,1,2] => 297
[8,1,6,7,4,5,2,3] => 1001010 => [1,2,1,1,1,1] => 345
[7,1,6,8,4,2,5,3] => 1001101 => [1,2,2,1,1] => 295
[6,1,7,8,2,4,5,3] => 1001001 => [1,2,1,2,1] => 281
[5,1,7,2,8,4,6,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,1,2,7,8,5,6,3] => 1000101 => [1,3,1,1,1] => 219
[3,2,1,7,8,5,6,4] => 1100101 => [2,2,1,1,1] => 255
[3,2,8,7,1,5,4,6] => 1011010 => [1,1,2,1,1,1] => 359
[4,8,2,7,1,5,3,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,8,7,2,1,4,3,6] => 0111010 => [1,3,1,1,1] => 219
[6,8,7,1,2,4,3,5] => 0110010 => [1,2,2,1,1] => 295
[7,8,6,1,4,2,3,5] => 0110100 => [1,2,1,1,2] => 241
[8,7,6,1,4,3,2,5] => 1110110 => [3,1,2,1] => 137
[1,7,6,8,4,3,5,2] => 0101101 => [1,1,1,2,1,1] => 359
[1,6,7,8,3,4,5,2] => 0001001 => [3,1,2,1] => 137
[8,6,7,1,3,4,2,5] => 1010010 => [1,1,1,2,1,1] => 359
[7,6,8,1,3,2,4,5] => 1010100 => [1,1,1,1,1,2] => 297
[5,7,8,2,1,3,4,6] => 0011000 => [2,2,3] => 105
[4,7,2,8,1,3,5,6] => 0101000 => [1,1,1,1,3] => 165
[3,2,6,8,4,1,5,7] => 1001100 => [1,2,2,2] => 211
[4,6,2,8,3,1,5,7] => 0101100 => [1,1,1,2,2] => 255
[5,6,8,2,3,1,4,7] => 0010100 => [2,1,1,1,2] => 207
[6,5,8,3,2,1,4,7] => 1011100 => [1,1,3,2] => 171
[7,5,8,3,1,2,4,6] => 1011000 => [1,1,2,3] => 145
[8,5,7,3,1,4,2,6] => 1011010 => [1,1,2,1,1,1] => 359
[1,5,7,3,8,4,6,2] => 0010101 => [2,1,1,1,1,1] => 297
[1,4,3,7,8,5,6,2] => 0100101 => [1,1,2,1,1,1] => 359
[8,4,3,7,1,5,2,6] => 1101010 => [2,1,1,1,1,1] => 297
[6,4,3,8,2,1,5,7] => 1101100 => [2,1,2,2] => 180
[4,5,2,3,8,1,6,7] => 0100100 => [1,1,2,1,2] => 252
[3,2,5,4,8,1,6,7] => 1010100 => [1,1,1,1,1,2] => 297
[4,5,2,3,1,8,7,6] => 0101011 => [1,1,1,1,1,2] => 297
[6,4,3,1,2,8,7,5] => 1110011 => [3,2,2] => 105
[7,4,3,1,8,2,6,5] => 1110101 => [3,1,1,1,1] => 165
[8,4,3,1,7,6,2,5] => 1110110 => [3,1,2,1] => 137
[1,5,8,3,7,6,4,2] => 0010111 => [2,1,1,3] => 117
[8,5,1,3,7,6,2,4] => 1100110 => [2,2,2,1] => 211
[7,5,1,3,8,2,6,4] => 1100101 => [2,2,1,1,1] => 255
[6,5,1,3,2,8,7,4] => 1101011 => [2,1,1,1,2] => 207
[5,6,1,2,3,8,7,4] => 0100011 => [1,1,3,2] => 171
[4,6,2,1,3,8,7,5] => 0110011 => [1,2,2,2] => 211
[3,2,6,1,4,8,7,5] => 1010011 => [1,1,1,2,2] => 255
[3,2,7,1,8,4,6,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,7,2,1,8,3,6,5] => 0110101 => [1,2,1,1,1,1] => 345
[5,7,1,2,8,3,6,4] => 0100101 => [1,1,2,1,1,1] => 359
[6,7,1,8,2,3,5,4] => 0101001 => [1,1,1,1,2,1] => 345
[7,6,1,8,3,2,5,4] => 1101101 => [2,1,2,1,1] => 252
[8,6,1,7,3,5,2,4] => 1101010 => [2,1,1,1,1,1] => 297
[1,6,8,7,3,5,4,2] => 0011011 => [2,2,1,2] => 180
[1,7,8,6,5,3,4,2] => 0011101 => [2,3,1,1] => 171
[8,7,1,6,5,3,2,4] => 1101110 => [2,1,3,1] => 157
[7,8,1,6,5,2,3,4] => 0101100 => [1,1,1,2,2] => 255
[6,8,1,7,2,5,3,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,8,1,2,7,6,3,4] => 0100110 => [1,1,2,2,1] => 295
[4,8,2,1,7,6,3,5] => 0110110 => [1,2,1,2,1] => 281
[3,2,8,1,7,6,4,5] => 1010110 => [1,1,1,1,2,1] => 345
[4,1,2,8,7,6,5,3] => 1001111 => [1,2,4] => 65
[5,1,8,2,7,6,4,3] => 1010111 => [1,1,1,1,3] => 165
[6,1,8,7,2,5,4,3] => 1011011 => [1,1,2,1,2] => 252
[7,1,8,6,5,2,4,3] => 1011101 => [1,1,3,1,1] => 233
[8,1,7,6,5,4,2,3] => 1011110 => [1,1,4,1] => 107
[3,1,2,6,5,8,7,4] => 1001011 => [1,2,1,1,2] => 241
[3,1,6,2,4,8,7,5] => 1010011 => [1,1,1,2,2] => 255
[3,1,5,2,4,8,7,6] => 1010011 => [1,1,1,2,2] => 255
[4,5,1,2,3,8,7,6] => 0100011 => [1,1,3,2] => 171
[4,6,1,2,3,8,7,5] => 0100011 => [1,1,3,2] => 171
[1,6,5,3,4,8,7,2] => 0110011 => [1,2,2,2] => 211
[6,1,5,2,4,8,7,3] => 1010011 => [1,1,1,2,2] => 255
[6,5,1,2,3,8,7,4] => 1100011 => [2,3,2] => 126
[6,4,1,2,3,8,7,5] => 1100011 => [2,3,2] => 126
[5,4,1,2,3,8,7,6] => 1100011 => [2,3,2] => 126
[5,4,1,2,7,3,6,8] => 1100100 => [2,2,1,2] => 180
[6,4,1,7,2,3,5,8] => 1101000 => [2,1,1,3] => 117
[6,4,1,8,2,3,5,7] => 1101000 => [2,1,1,3] => 117
[7,4,1,2,8,3,6,5] => 1100101 => [2,2,1,1,1] => 255
[7,5,1,2,8,3,6,4] => 1100101 => [2,2,1,1,1] => 255
[7,1,5,2,8,4,6,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[1,7,5,3,8,4,6,2] => 0110101 => [1,2,1,1,1,1] => 345
[1,8,5,3,7,4,6,2] => 0110101 => [1,2,1,1,1,1] => 345
[8,1,5,2,7,4,6,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,5,1,2,7,3,6,4] => 1100101 => [2,2,1,1,1] => 255
[8,4,1,2,7,3,6,5] => 1100101 => [2,2,1,1,1] => 255
[8,4,1,7,2,3,5,6] => 1101000 => [2,1,1,3] => 117
[7,4,1,6,2,3,5,8] => 1101000 => [2,1,1,3] => 117
[8,6,1,7,2,3,5,4] => 1101001 => [2,1,1,2,1] => 241
[8,1,6,7,2,4,5,3] => 1001001 => [1,2,1,2,1] => 281
[1,8,6,7,3,4,5,2] => 0101001 => [1,1,1,1,2,1] => 345
[1,7,6,8,3,4,5,2] => 0101001 => [1,1,1,1,2,1] => 345
[7,1,6,8,2,4,5,3] => 1001001 => [1,2,1,2,1] => 281
[7,6,1,8,2,3,5,4] => 1101001 => [2,1,1,2,1] => 241
[4,7,1,2,8,3,6,5] => 0100101 => [1,1,2,1,1,1] => 359
[3,1,7,2,8,4,6,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[3,1,2,7,8,5,6,4] => 1000101 => [1,3,1,1,1] => 219
[1,4,3,8,7,5,6,2] => 0101101 => [1,1,1,2,1,1] => 359
[4,1,2,8,7,5,6,3] => 1001101 => [1,2,2,1,1] => 295
[3,1,2,8,7,5,6,4] => 1001101 => [1,2,2,1,1] => 295
[3,1,8,2,7,4,6,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[3,1,8,7,2,4,5,6] => 1011000 => [1,1,2,3] => 145
[3,1,7,6,2,4,5,8] => 1011000 => [1,1,2,3] => 145
[4,7,1,6,2,3,5,8] => 0101000 => [1,1,1,1,3] => 165
[4,8,1,6,2,3,5,7] => 0101000 => [1,1,1,1,3] => 165
[4,8,1,7,2,3,5,6] => 0101000 => [1,1,1,1,3] => 165
[4,8,1,2,7,3,6,5] => 0100101 => [1,1,2,1,1,1] => 359
[5,8,1,2,7,3,6,4] => 0100101 => [1,1,2,1,1,1] => 359
[5,1,8,2,7,4,6,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[1,5,8,3,7,4,6,2] => 0010101 => [2,1,1,1,1,1] => 297
[1,6,8,7,3,4,5,2] => 0011001 => [2,2,2,1] => 211
[6,1,8,7,2,4,5,3] => 1011001 => [1,1,2,2,1] => 295
[6,8,1,7,2,3,5,4] => 0101001 => [1,1,1,1,2,1] => 345
[6,8,7,1,2,3,4,5] => 0110000 => [1,2,4] => 65
[5,8,7,1,2,3,4,6] => 0110000 => [1,2,4] => 65
[5,8,6,1,2,3,4,7] => 0110000 => [1,2,4] => 65
[5,7,6,1,2,3,4,8] => 0110000 => [1,2,4] => 65
[7,8,1,6,2,3,5,4] => 0101001 => [1,1,1,1,2,1] => 345
[7,1,8,6,2,4,5,3] => 1011001 => [1,1,2,2,1] => 295
[1,7,8,6,3,4,5,2] => 0011001 => [2,2,2,1] => 211
[1,8,7,6,3,4,5,2] => 0111001 => [1,3,2,1] => 185
[8,1,7,6,2,4,5,3] => 1011001 => [1,1,2,2,1] => 295
[8,7,1,6,2,3,5,4] => 1101001 => [2,1,1,2,1] => 241
[3,2,5,1,6,4,8,7] => 1010101 => [1,1,1,1,1,1,1] => 429
[3,2,5,4,7,1,8,6] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,2,5,3,7,6,8,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,2,5,3,7,1,8,6] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,2,5,3,6,1,8,7] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,2,5,1,6,3,8,7] => 1010101 => [1,1,1,1,1,1,1] => 429
[3,1,5,4,6,2,8,7] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,1,5,3,6,2,8,7] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,3,5,1,6,2,8,7] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,3,5,2,7,1,8,6] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,3,6,2,7,5,8,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,3,6,2,7,1,8,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,3,6,1,7,2,8,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,3,5,1,7,2,8,6] => 1010101 => [1,1,1,1,1,1,1] => 429
[3,1,5,4,7,2,8,6] => 1010101 => [1,1,1,1,1,1,1] => 429
[2,1,5,4,7,3,8,6] => 1010101 => [1,1,1,1,1,1,1] => 429
[3,1,5,4,7,6,8,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,1,5,3,7,6,8,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,3,5,1,7,6,8,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,3,6,1,7,5,8,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,3,6,5,7,1,8,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,3,6,4,7,2,8,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,3,6,4,7,1,8,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,3,6,1,7,4,8,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,1,6,3,7,4,8,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,1,6,3,7,5,8,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[3,1,6,4,7,5,8,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[2,1,6,4,7,5,8,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[2,1,6,4,7,3,8,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[3,1,6,4,7,2,8,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,1,6,3,7,2,8,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,1,6,3,7,2,8,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,3,6,1,7,2,8,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,3,6,2,7,1,8,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,3,6,2,7,4,8,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,2,6,3,7,4,8,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,2,6,3,7,1,8,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,2,6,1,7,3,8,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,2,5,1,7,3,8,6] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,2,6,1,7,3,8,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,2,6,3,7,1,8,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,2,6,3,7,5,8,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[3,2,6,4,7,5,8,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[3,2,6,4,7,1,8,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[3,2,6,1,7,4,8,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[3,2,5,1,7,4,8,6] => 1010101 => [1,1,1,1,1,1,1] => 429
[3,2,4,1,7,5,8,6] => 1010101 => [1,1,1,1,1,1,1] => 429
[3,1,4,2,7,6,8,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[3,2,5,1,7,6,8,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[3,2,6,1,7,5,8,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[3,2,6,5,7,1,8,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,2,6,5,7,3,8,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,2,6,5,7,1,8,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,2,6,1,7,5,8,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,2,5,1,7,6,8,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,1,5,2,7,6,8,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[3,1,5,2,7,6,8,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[2,1,5,3,7,6,8,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[2,1,6,3,7,5,8,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[3,1,6,2,7,5,8,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,1,6,2,7,5,8,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,1,6,2,7,4,8,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,2,6,1,7,4,8,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,2,6,4,7,1,8,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,2,6,4,7,3,8,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,4,6,2,7,3,8,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,4,6,2,7,1,8,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,4,6,1,7,2,8,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,1,6,4,7,2,8,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,1,6,5,7,2,8,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[3,1,6,5,7,2,8,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[2,1,6,5,7,3,8,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[3,1,6,5,7,4,8,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,1,6,5,7,3,8,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,1,6,4,7,3,8,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,4,6,1,7,3,8,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,4,6,3,7,1,8,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,3,5,2,1,6,4,7] => 1011010 => [1,1,2,1,1,1] => 359
[8,6,3,5,2,4,1,7] => 1101010 => [2,1,1,1,1,1] => 297
[3,7,5,2,4,1,8,6] => 0110101 => [1,2,1,1,1,1] => 345
[8,3,7,5,2,4,6,1] => 1011001 => [1,1,2,2,1] => 295
[8,2,4,5,7,3,6,1] => 1000101 => [1,3,1,1,1] => 219
[2,4,5,7,3,1,8,6] => 0001101 => [3,2,1,1] => 145
[8,2,4,6,5,3,1,7] => 1001110 => [1,2,3,1] => 185
[8,2,5,4,6,1,3,7] => 1010100 => [1,1,1,1,1,2] => 297
[8,6,3,5,1,4,2,7] => 1101010 => [2,1,1,1,1,1] => 297
[8,6,1,4,5,3,2,7] => 1100110 => [2,2,2,1] => 211
[8,1,5,6,4,3,2,7] => 1001110 => [1,2,3,1] => 185
[5,7,4,3,2,1,8,6] => 0111101 => [1,4,1,1] => 107
[8,5,7,4,3,2,6,1] => 1011101 => [1,1,3,1,1] => 233
[4,6,8,3,2,7,5,1] => 0011011 => [2,2,1,2] => 180
[4,7,6,3,2,8,1,5] => 0111010 => [1,3,1,1,1] => 219
[1,4,6,7,3,2,8,5] => 0001101 => [3,2,1,1] => 145
[5,4,7,3,1,8,2,6] => 1011010 => [1,1,2,1,1,1] => 359
[1,7,4,5,3,2,8,6] => 0101101 => [1,1,1,2,1,1] => 359
[3,7,5,1,4,2,8,6] => 0110101 => [1,2,1,1,1,1] => 345
[5,7,4,2,1,3,8,6] => 0111001 => [1,3,2,1] => 185
[8,5,7,4,2,1,6,3] => 1011101 => [1,1,3,1,1] => 233
[8,3,7,5,1,4,6,2] => 1011001 => [1,1,2,2,1] => 295
[8,4,1,7,5,3,6,2] => 1101101 => [2,1,2,1,1] => 252
[4,6,3,8,7,1,5,2] => 0101101 => [1,1,1,2,1,1] => 359
[1,7,4,8,6,3,5,2] => 0101101 => [1,1,1,2,1,1] => 359
[8,4,7,6,3,5,2,1] => 1011011 => [1,1,2,1,2] => 252
[3,6,5,8,7,4,1,2] => 0101110 => [1,1,1,3,1] => 219
[3,1,5,8,6,7,4,2] => 1001011 => [1,2,1,1,2] => 241
[4,8,1,6,7,3,5,2] => 0100101 => [1,1,2,1,1,1] => 359
[3,6,4,1,8,7,5,2] => 0110111 => [1,2,1,3] => 137
[8,2,6,1,4,7,5,3] => 1010011 => [1,1,1,2,2] => 255
[2,7,6,8,1,4,3,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,7,1,6,4,8,2,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,7,3,5,6,8,2,4] => 0100010 => [1,1,3,1,1] => 233
[1,3,6,7,5,8,2,4] => 0001010 => [3,1,1,1,1] => 165
[3,7,6,5,8,2,1,4] => 0110110 => [1,2,1,2,1] => 281
[3,6,8,5,7,2,4,1] => 0010101 => [2,1,1,1,1,1] => 297
[2,3,5,7,6,8,1,4] => 0001010 => [3,1,1,1,1] => 165
[2,1,6,5,7,8,3,4] => 1010010 => [1,1,1,2,1,1] => 359
[4,2,7,6,8,3,1,5] => 1010110 => [1,1,1,1,2,1] => 345
[4,2,6,8,7,3,5,1] => 1001101 => [1,2,2,1,1] => 295
[3,8,2,4,6,7,5,1] => 0100011 => [1,1,3,2] => 171
[3,7,2,6,4,8,1,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,2,6,1,4,7,8,5] => 1010001 => [1,1,1,3,1] => 219
[5,3,7,2,1,8,4,6] => 1011010 => [1,1,2,1,1,1] => 359
[4,7,3,2,1,5,8,6] => 0111001 => [1,3,2,1] => 185
[8,7,6,1,3,4,2,5] => 1110010 => [3,2,1,1] => 145
[8,5,7,3,2,1,6,4] => 1011101 => [1,1,3,1,1] => 233
[8,3,6,7,2,1,5,4] => 1001101 => [1,2,2,1,1] => 295
[3,7,8,6,2,1,5,4] => 0011101 => [2,3,1,1] => 171
[8,7,6,3,5,2,4,1] => 1110101 => [3,1,1,1,1] => 165
[2,7,4,8,1,6,5,3] => 0101011 => [1,1,1,1,1,2] => 297
[4,6,8,2,1,7,5,3] => 0011011 => [2,2,1,2] => 180
[8,4,1,5,7,2,6,3] => 1100101 => [2,2,1,1,1] => 255
[8,5,3,7,1,6,2,4] => 1101010 => [2,1,1,1,1,1] => 297
[8,5,7,2,1,3,6,4] => 1011001 => [1,1,2,2,1] => 295
[8,2,6,7,1,3,5,4] => 1001001 => [1,2,1,2,1] => 281
[8,3,6,1,7,5,2,4] => 1010110 => [1,1,1,1,2,1] => 345
[4,6,1,8,7,2,5,3] => 0101101 => [1,1,1,2,1,1] => 359
[8,1,2,5,6,7,4,3] => 1000011 => [1,4,2] => 81
[8,2,6,5,7,4,1,3] => 1010110 => [1,1,1,1,2,1] => 345
[2,1,7,8,5,6,4,3] => 1001011 => [1,2,1,1,2] => 241
[8,2,5,7,6,4,3,1] => 1001111 => [1,2,4] => 65
[2,7,6,8,5,4,1,3] => 0101110 => [1,1,1,3,1] => 219
[1,7,2,5,8,6,4,3] => 0100111 => [1,1,2,3] => 145
[1,7,4,8,2,6,5,3] => 0101011 => [1,1,1,1,1,2] => 297
[3,7,8,1,6,5,2,4] => 0010110 => [2,1,1,2,1] => 241
[2,7,8,6,1,3,5,4] => 0011001 => [2,2,2,1] => 211
[8,7,6,3,5,1,4,2] => 1110101 => [3,1,1,1,1] => 165
[8,4,7,6,5,1,3,2] => 1011101 => [1,1,3,1,1] => 233
[8,7,1,5,6,4,3,2] => 1100111 => [2,2,3] => 105
[8,1,6,7,5,4,3,2] => 1001111 => [1,2,4] => 65
[6,5,3,1,2,4,8,7] => 1110001 => [3,3,1] => 95
[4,6,3,5,1,2,8,7] => 0101001 => [1,1,1,1,2,1] => 345
[8,5,3,7,2,1,4,6] => 1101100 => [2,1,2,2] => 180
[6,8,1,4,5,7,3,2] => 0100011 => [1,1,3,2] => 171
[8,7,2,4,5,1,3,6] => 1100100 => [2,2,1,2] => 180
[3,6,2,4,5,1,8,7] => 0100101 => [1,1,2,1,1,1] => 359
[2,6,1,4,5,3,8,7] => 0100101 => [1,1,2,1,1,1] => 359
[6,1,2,4,5,3,8,7] => 1000101 => [1,3,1,1,1] => 219
[5,6,3,2,1,4,8,7] => 0111001 => [1,3,2,1] => 185
[5,4,3,6,1,2,8,7] => 1101001 => [2,1,1,2,1] => 241
[6,3,1,4,5,2,8,7] => 1100101 => [2,2,1,1,1] => 255
[3,1,6,4,5,2,8,7] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,3,7,4,5,1,2,6] => 1010100 => [1,1,1,1,1,2] => 297
[5,8,7,4,2,6,3,1] => 0111011 => [1,3,1,2] => 157
[2,8,7,4,1,6,3,5] => 0111010 => [1,3,1,1,1] => 219
[8,1,7,4,2,6,3,5] => 1011010 => [1,1,2,1,1,1] => 359
[3,7,8,4,5,1,2,6] => 0010100 => [2,1,1,1,2] => 207
[2,1,8,7,5,3,4,6] => 1011100 => [1,1,3,2] => 171
[2,1,6,8,5,7,3,4] => 1001010 => [1,2,1,1,1,1] => 345
[5,6,3,8,1,7,2,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[7,6,1,4,5,8,3,2] => 1100011 => [2,3,2] => 126
[3,7,6,4,5,8,2,1] => 0110011 => [1,2,2,2] => 211
[8,5,7,4,1,6,3,2] => 1011011 => [1,1,2,1,2] => 252
[5,1,8,4,7,6,2,3] => 1010110 => [1,1,1,1,2,1] => 345
[2,5,8,4,7,6,1,3] => 0010110 => [2,1,1,2,1] => 241
[2,4,8,3,5,6,7,1] => 0010001 => [2,1,3,1] => 157
[4,1,8,3,5,6,7,2] => 1010001 => [1,1,1,3,1] => 219
[3,8,4,2,5,6,7,1] => 0110001 => [1,2,3,1] => 185
[8,4,1,3,5,6,7,2] => 1100001 => [2,4,1] => 81
[7,5,8,4,3,6,1,2] => 1011010 => [1,1,2,1,1,1] => 359
[6,5,3,8,4,1,7,2] => 1101101 => [2,1,2,1,1] => 252
[2,1,5,8,4,6,7,3] => 1001001 => [1,2,1,2,1] => 281
[2,1,4,8,3,6,7,5] => 1001001 => [1,2,1,2,1] => 281
[6,4,3,8,2,1,7,5] => 1101101 => [2,1,2,1,1] => 252
[7,3,8,4,2,6,1,5] => 1011010 => [1,1,2,1,1,1] => 359
[8,3,1,2,5,6,7,4] => 1100001 => [2,4,1] => 81
[3,1,8,2,5,6,7,4] => 1010001 => [1,1,1,3,1] => 219
[2,3,8,1,5,6,7,4] => 0010001 => [2,1,3,1] => 157
[4,3,8,2,5,6,7,1] => 1010001 => [1,1,1,3,1] => 219
[4,8,2,3,5,6,7,1] => 0100001 => [1,1,4,1] => 107
[3,8,2,1,5,6,7,4] => 0110001 => [1,2,3,1] => 185
[2,8,1,3,5,6,7,4] => 0100001 => [1,1,4,1] => 107
[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] => 429
[6,8,3,2,4,1,7,5] => 0110101 => [1,2,1,1,1,1] => 345
[2,1,8,3,4,6,7,5] => 1010001 => [1,1,1,3,1] => 219
[2,1,7,8,5,4,3,6] => 1001110 => [1,2,3,1] => 185
[5,7,3,8,1,4,2,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[7,1,8,4,5,3,2,6] => 1010110 => [1,1,1,1,2,1] => 345
[2,7,8,4,5,3,1,6] => 0010110 => [2,1,1,2,1] => 241
[8,7,1,4,3,6,2,5] => 1101010 => [2,1,1,1,1,1] => 297
[3,8,7,4,2,6,1,5] => 0111010 => [1,3,1,1,1] => 219
[5,7,8,4,3,6,2,1] => 0011011 => [2,2,1,2] => 180
[5,6,3,8,4,2,7,1] => 0101101 => [1,1,1,2,1,1] => 359
[4,8,3,6,2,1,7,5] => 0101101 => [1,1,1,2,1,1] => 359
[8,6,3,1,4,2,7,5] => 1110101 => [3,1,1,1,1] => 165
[7,5,3,8,2,4,1,6] => 1101010 => [2,1,1,1,1,1] => 297
[2,4,3,1,8,5,7,6] => 0110101 => [1,2,1,1,1,1] => 345
[4,1,3,2,6,8,7,5] => 1010011 => [1,1,1,2,2] => 255
[7,5,3,6,2,8,1,4] => 1101010 => [2,1,1,1,1,1] => 297
[8,6,3,5,1,2,7,4] => 1101001 => [2,1,1,2,1] => 241
[5,8,3,2,6,1,7,4] => 0110101 => [1,2,1,1,1,1] => 345
[4,5,3,8,6,2,7,1] => 0101101 => [1,1,1,2,1,1] => 359
[3,5,8,4,7,6,2,1] => 0010111 => [2,1,1,3] => 117
[5,8,2,4,7,6,1,3] => 0100110 => [1,1,2,2,1] => 295
[8,7,5,4,1,6,2,3] => 1111010 => [4,1,1,1] => 75
[2,7,6,4,5,8,1,3] => 0110010 => [1,2,2,1,1] => 295
[7,1,6,4,5,8,2,3] => 1010010 => [1,1,1,2,1,1] => 359
[5,7,3,6,1,8,2,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,1,7,6,5,8,3,4] => 1011010 => [1,1,2,1,1,1] => 359
[2,1,8,5,3,6,7,4] => 1011001 => [1,1,2,2,1] => 295
[6,8,3,5,2,1,7,4] => 0101101 => [1,1,1,2,1,1] => 359
[7,8,5,4,2,6,1,3] => 0111010 => [1,3,1,1,1] => 219
[8,1,4,2,5,6,7,3] => 1010001 => [1,1,1,3,1] => 219
[2,8,4,1,5,6,7,3] => 0110001 => [1,2,3,1] => 185
[4,8,1,2,5,6,7,3] => 0100001 => [1,1,4,1] => 107
[3,4,8,1,5,6,7,2] => 0010001 => [2,1,3,1] => 157
[3,4,2,8,5,6,7,1] => 0101001 => [1,1,1,1,2,1] => 345
[2,4,1,8,5,6,7,3] => 0101001 => [1,1,1,1,2,1] => 345
[4,1,2,8,5,6,7,3] => 1001001 => [1,2,1,2,1] => 281
[8,4,2,1,5,6,7,3] => 1110001 => [3,3,1] => 95
[7,5,2,4,8,6,1,3] => 1100110 => [2,2,2,1] => 211
[6,5,3,2,8,1,7,4] => 1110101 => [3,1,1,1,1] => 165
[2,1,5,3,8,6,7,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,4,3,5,8,1,7,2] => 1100101 => [2,2,1,1,1] => 255
[7,3,5,4,8,6,1,2] => 1010110 => [1,1,1,1,2,1] => 345
[8,3,4,1,5,6,7,2] => 1010001 => [1,1,1,3,1] => 219
[4,3,1,8,5,6,7,2] => 1101001 => [2,1,1,2,1] => 241
[3,1,4,8,5,6,7,2] => 1001001 => [1,2,1,2,1] => 281
[6,5,3,7,2,8,4,1] => 1101011 => [2,1,1,1,2] => 207
[6,3,7,4,5,8,2,1] => 1010011 => [1,1,1,2,2] => 255
[6,7,2,4,5,8,3,1] => 0100011 => [1,1,3,2] => 171
[5,1,7,4,8,6,3,2] => 1010111 => [1,1,1,1,3] => 165
[2,5,7,4,8,6,3,1] => 0010111 => [2,1,1,3] => 117
[5,6,3,7,1,8,4,2] => 0101011 => [1,1,1,1,1,2] => 297
[3,8,7,4,5,2,1,6] => 0110110 => [1,2,1,2,1] => 281
[3,7,5,4,8,6,2,1] => 0110111 => [1,2,1,3] => 137
[5,7,1,4,8,6,2,3] => 0100110 => [1,1,2,2,1] => 295
[5,6,3,1,8,2,7,4] => 0110101 => [1,2,1,1,1,1] => 345
[4,6,3,5,8,2,7,1] => 0100101 => [1,1,2,1,1,1] => 359
[4,6,3,8,1,2,7,5] => 0101001 => [1,1,1,1,2,1] => 345
[3,7,8,4,1,6,2,5] => 0011010 => [2,2,1,1,1] => 255
[3,2,5,1,6,8,4,7] => 1010010 => [1,1,1,2,1,1] => 359
[3,6,2,5,4,8,1,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,5,2,4,7,1,8,6] => 0100101 => [1,1,2,1,1,1] => 359
[3,5,8,2,4,7,6,1] => 0010011 => [2,1,2,2] => 180
[4,2,5,8,3,7,6,1] => 1001011 => [1,2,1,1,2] => 241
[4,2,6,5,3,8,1,7] => 1011010 => [1,1,2,1,1,1] => 359
[5,4,2,1,6,8,3,7] => 1110010 => [3,2,1,1] => 145
[6,3,5,1,4,8,2,7] => 1010010 => [1,1,1,2,1,1] => 359
[4,6,1,5,3,8,2,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,1,6,4,3,8,2,7] => 1011010 => [1,1,2,1,1,1] => 359
[5,4,3,2,7,1,8,6] => 1110101 => [3,1,1,1,1] => 165
[5,4,3,8,2,7,6,1] => 1101011 => [2,1,1,1,2] => 207
[4,3,6,2,8,7,5,1] => 1010111 => [1,1,1,1,3] => 165
[4,3,7,6,2,1,8,5] => 1011101 => [1,1,3,1,1] => 233
[6,4,3,1,7,2,8,5] => 1110101 => [3,1,1,1,1] => 165
[7,5,4,3,1,8,2,6] => 1111010 => [4,1,1,1] => 75
[1,4,7,5,8,3,2,6] => 0010110 => [2,1,1,2,1] => 241
[7,1,3,5,8,4,2,6] => 1000110 => [1,3,2,1] => 185
[7,2,5,8,4,1,3,6] => 1001100 => [1,2,2,2] => 211
[2,8,5,7,4,6,1,3] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,5,8,7,1,4,6,2] => 0011001 => [2,2,2,1] => 211
[1,4,5,8,7,3,6,2] => 0001101 => [3,2,1,1] => 145
[1,5,4,8,7,3,6,2] => 0101101 => [1,1,1,2,1,1] => 359
[6,4,3,8,1,7,5,2] => 1101011 => [2,1,1,1,2] => 207
[4,3,7,1,8,6,5,2] => 1010111 => [1,1,1,1,3] => 165
[4,8,3,7,6,5,2,1] => 0101111 => [1,1,1,4] => 75
[5,3,8,7,6,4,2,1] => 1011111 => [1,1,5] => 27
[7,5,3,1,8,6,4,2] => 1110111 => [3,1,3] => 69
[1,8,6,5,3,7,4,2] => 0111011 => [1,3,1,2] => 157
[1,5,8,6,3,7,4,2] => 0011011 => [2,2,1,2] => 180
[4,6,1,8,7,3,5,2] => 0101101 => [1,1,1,2,1,1] => 359
[6,8,7,3,1,4,5,2] => 0111001 => [1,3,2,1] => 185
[6,2,8,7,4,5,1,3] => 1011010 => [1,1,2,1,1,1] => 359
[7,6,2,8,4,1,3,5] => 1101100 => [2,1,2,2] => 180
[7,3,1,6,8,4,2,5] => 1100110 => [2,2,2,1] => 211
[1,7,6,4,8,3,2,5] => 0110110 => [1,2,1,2,1] => 281
[5,7,1,6,3,2,8,4] => 0101101 => [1,1,1,2,1,1] => 359
[6,1,7,5,3,2,8,4] => 1011101 => [1,1,3,1,1] => 233
[7,6,5,3,2,1,8,4] => 1111101 => [5,1,1] => 27
[6,5,3,2,8,7,4,1] => 1110111 => [3,1,3] => 69
[5,2,6,3,8,7,4,1] => 1010111 => [1,1,1,1,3] => 165
[5,2,7,6,3,1,8,4] => 1011101 => [1,1,3,1,1] => 233
[6,5,2,1,7,3,8,4] => 1110101 => [3,1,1,1,1] => 165
[5,2,7,4,1,8,3,6] => 1011010 => [1,1,2,1,1,1] => 359
[4,7,2,6,3,1,8,5] => 0101101 => [1,1,1,2,1,1] => 359
[2,4,8,6,3,7,5,1] => 0011011 => [2,2,1,2] => 180
[3,8,6,2,4,7,5,1] => 0110011 => [1,2,2,2] => 211
[7,3,6,2,4,1,8,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[3,6,7,2,1,4,8,5] => 0011001 => [2,2,2,1] => 211
[4,3,7,8,2,1,5,6] => 1001100 => [1,2,2,2] => 211
[8,3,7,1,4,6,2,5] => 1010010 => [1,1,1,2,1,1] => 359
[3,8,2,5,7,1,6,4] => 0100101 => [1,1,2,1,1,1] => 359
[8,3,6,2,7,1,5,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,8,3,6,2,1,5,4] => 0101101 => [1,1,1,2,1,1] => 359
[8,7,3,6,2,5,4,1] => 1101011 => [2,1,1,1,2] => 207
[4,7,8,2,1,6,5,3] => 0011011 => [2,2,1,2] => 180
[4,2,6,8,1,7,5,3] => 1001011 => [1,2,1,1,2] => 241
[5,4,8,2,7,1,6,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,8,1,5,7,2,6,3] => 0100101 => [1,1,2,1,1,1] => 359
[5,8,3,7,1,6,2,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,8,7,2,6,1,3,4] => 0110100 => [1,2,1,1,2] => 241
[8,6,2,7,5,1,3,4] => 1101100 => [2,1,2,2] => 180
[3,6,8,1,7,5,2,4] => 0010110 => [2,1,1,2,1] => 241
[5,1,6,8,2,7,4,3] => 1001011 => [1,2,1,1,2] => 241
[6,5,2,8,1,7,4,3] => 1101011 => [2,1,1,1,2] => 207
[5,2,7,1,8,6,4,3] => 1010111 => [1,1,1,1,3] => 165
[5,8,2,7,6,4,3,1] => 0101111 => [1,1,1,4] => 75
[6,2,8,7,5,4,3,1] => 1011111 => [1,1,5] => 27
[7,6,2,1,8,5,4,3] => 1110111 => [3,1,3] => 69
[6,1,7,2,8,5,4,3] => 1010111 => [1,1,1,1,3] => 165
[7,5,1,8,2,6,4,3] => 1101011 => [2,1,1,1,2] => 207
[4,7,1,8,6,2,5,3] => 0101101 => [1,1,1,2,1,1] => 359
[7,8,3,1,6,5,2,4] => 0110110 => [1,2,1,2,1] => 281
[8,7,4,6,1,5,3,2] => 1101011 => [2,1,1,1,2] => 207
[8,5,7,1,6,4,3,2] => 1010111 => [1,1,1,1,3] => 165
[6,8,1,7,5,4,3,2] => 0101111 => [1,1,1,4] => 75
[7,1,8,6,5,4,3,2] => 1011111 => [1,1,5] => 27
[5,4,2,3,7,6,1,8] => 1100110 => [2,2,2,1] => 211
[6,4,2,7,3,5,1,8] => 1101010 => [2,1,1,1,1,1] => 297
[7,4,2,6,3,5,1,8] => 1101010 => [2,1,1,1,1,1] => 297
[8,4,2,6,3,1,5,7] => 1101100 => [2,1,2,2] => 180
[3,2,7,6,4,5,1,8] => 1011010 => [1,1,2,1,1,1] => 359
[4,7,2,6,3,5,1,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,7,6,2,3,4,1,8] => 0110010 => [1,2,2,1,1] => 295
[1,6,5,2,3,8,4,7] => 0110010 => [1,2,2,1,1] => 295
[1,7,5,2,8,3,4,6] => 0110100 => [1,2,1,1,2] => 241
[6,8,5,2,3,1,4,7] => 0110100 => [1,2,1,1,2] => 241
[5,8,6,2,3,1,4,7] => 0110100 => [1,2,1,1,2] => 241
[4,8,2,6,3,1,5,7] => 0101100 => [1,1,1,2,2] => 255
[3,2,8,6,4,1,5,7] => 1011100 => [1,1,3,2] => 171
[3,2,1,6,4,8,5,7] => 1101010 => [2,1,1,1,1,1] => 297
[7,1,5,2,8,3,4,6] => 1010100 => [1,1,1,1,1,2] => 297
[1,8,5,2,7,3,4,6] => 0110100 => [1,2,1,1,2] => 241
[1,8,6,7,2,3,4,5] => 0101000 => [1,1,1,1,3] => 165
[8,1,6,7,2,3,4,5] => 1001000 => [1,2,1,3] => 137
[7,1,6,8,2,3,4,5] => 1001000 => [1,2,1,3] => 137
[3,2,1,7,8,4,5,6] => 1100100 => [2,2,1,2] => 180
[3,2,8,7,1,4,5,6] => 1011000 => [1,1,2,3] => 145
[5,8,7,2,1,3,4,6] => 0111000 => [1,3,3] => 95
[1,7,6,8,2,3,4,5] => 0101000 => [1,1,1,1,3] => 165
[6,5,8,2,3,1,4,7] => 1010100 => [1,1,1,1,1,2] => 297
[8,5,7,2,1,3,4,6] => 1011000 => [1,1,2,3] => 145
[6,4,2,8,3,1,5,7] => 1101100 => [2,1,2,2] => 180
[5,4,2,3,8,1,6,7] => 1100100 => [2,2,1,2] => 180
[3,2,5,4,1,8,6,7] => 1011010 => [1,1,2,1,1,1] => 359
[4,5,2,3,1,8,6,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,4,2,3,1,8,6,7] => 1101010 => [2,1,1,1,1,1] => 297
[6,4,2,1,3,8,5,7] => 1110010 => [3,2,1,1] => 145
[7,4,2,1,8,3,5,6] => 1110100 => [3,1,1,2] => 117
[8,4,2,1,7,3,5,6] => 1110100 => [3,1,1,2] => 117
[1,4,2,8,7,3,5,6] => 0101100 => [1,1,1,2,2] => 255
[1,5,8,2,7,3,4,6] => 0010100 => [2,1,1,1,2] => 207
[8,5,1,2,7,3,4,6] => 1100100 => [2,2,1,2] => 180
[7,5,1,2,8,3,4,6] => 1100100 => [2,2,1,2] => 180
[6,5,1,2,3,8,4,7] => 1100010 => [2,3,1,1] => 171
[4,6,2,1,3,8,5,7] => 0110010 => [1,2,2,1,1] => 295
[3,2,6,1,4,8,5,7] => 1010010 => [1,1,1,2,1,1] => 359
[3,2,7,1,8,4,5,6] => 1010100 => [1,1,1,1,1,2] => 297
[4,7,2,1,8,3,5,6] => 0110100 => [1,2,1,1,2] => 241
[7,6,1,8,2,3,4,5] => 1101000 => [2,1,1,3] => 117
[8,6,1,7,2,3,4,5] => 1101000 => [2,1,1,3] => 117
[1,6,8,7,2,3,4,5] => 0011000 => [2,2,3] => 105
[1,7,8,6,2,3,4,5] => 0011000 => [2,2,3] => 105
[7,8,1,6,2,3,4,5] => 0101000 => [1,1,1,1,3] => 165
[6,8,1,7,2,3,4,5] => 0101000 => [1,1,1,1,3] => 165
[4,8,2,1,7,3,5,6] => 0110100 => [1,2,1,1,2] => 241
[3,2,8,1,7,4,5,6] => 1010100 => [1,1,1,1,1,2] => 297
[3,2,1,8,7,4,5,6] => 1101100 => [2,1,2,2] => 180
[5,1,8,2,7,3,4,6] => 1010100 => [1,1,1,1,1,2] => 297
[6,1,8,7,2,3,4,5] => 1011000 => [1,1,2,3] => 145
[8,1,7,6,2,3,4,5] => 1011000 => [1,1,2,3] => 145
[1,8,7,6,2,3,4,5] => 0111000 => [1,3,3] => 95
[6,3,5,1,2,4,8,7] => 1010001 => [1,1,1,3,1] => 219
[4,3,5,6,1,2,8,7] => 1001001 => [1,2,1,2,1] => 281
[8,3,7,5,2,1,4,6] => 1011100 => [1,1,3,2] => 171
[6,3,7,5,1,8,4,2] => 1011011 => [1,1,2,1,2] => 252
[6,5,2,7,1,8,3,4] => 1101010 => [2,1,1,1,1,1] => 297
[8,5,2,7,4,1,3,6] => 1101100 => [2,1,2,2] => 180
[2,6,1,5,4,3,8,7] => 0101101 => [1,1,1,2,1,1] => 359
[6,4,3,5,1,2,8,7] => 1101001 => [2,1,1,2,1] => 241
[5,3,1,4,6,2,8,7] => 1100101 => [2,2,1,1,1] => 255
[3,1,4,6,5,2,8,7] => 1001101 => [1,2,2,1,1] => 295
[5,7,4,6,2,8,3,1] => 0101011 => [1,1,1,1,1,2] => 297
[8,1,4,7,2,6,3,5] => 1001010 => [1,2,1,1,1,1] => 345
[3,4,7,8,5,2,1,6] => 0001110 => [3,3,1] => 95
[2,1,8,5,7,3,4,6] => 1010100 => [1,1,1,1,1,2] => 297
[8,6,3,5,1,7,4,2] => 1101011 => [2,1,1,1,2] => 207
[5,8,2,4,6,7,3,1] => 0100011 => [1,1,3,2] => 171
[3,4,8,6,5,7,1,2] => 0011010 => [2,2,1,1,1] => 255
[7,5,4,8,1,6,3,2] => 1101011 => [2,1,1,1,2] => 207
[5,1,4,6,8,2,7,3] => 1000101 => [1,3,1,1,1] => 219
[2,5,4,6,7,1,8,3] => 0100101 => [1,1,2,1,1,1] => 359
[2,4,6,3,7,5,8,1] => 0010101 => [2,1,1,1,1,1] => 297
[4,1,6,3,8,5,7,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[3,7,4,2,8,6,5,1] => 0110111 => [1,2,1,3] => 137
[7,4,1,3,5,8,6,2] => 1100011 => [2,3,2] => 126
[6,5,8,4,1,7,3,2] => 1011011 => [1,1,2,1,2] => 252
[8,5,3,7,4,1,6,2] => 1101101 => [2,1,2,1,1] => 252
[2,1,4,8,3,7,6,5] => 1001011 => [1,2,1,1,2] => 241
[7,4,3,8,2,1,6,5] => 1101101 => [2,1,2,1,1] => 252
[6,3,7,4,1,8,2,5] => 1011010 => [1,1,2,1,1,1] => 359
[8,3,1,2,5,7,6,4] => 1100011 => [2,3,2] => 126
[3,1,8,2,7,6,5,4] => 1010111 => [1,1,1,1,3] => 165
[2,3,8,1,6,7,5,4] => 0010011 => [2,1,2,2] => 180
[4,3,7,2,6,8,5,1] => 1010011 => [1,1,1,2,2] => 255
[4,7,2,3,8,5,6,1] => 0100101 => [1,1,2,1,1,1] => 359
[3,8,2,1,7,5,6,4] => 0110101 => [1,2,1,1,1,1] => 345
[2,8,1,3,6,5,7,4] => 0100101 => [1,1,2,1,1,1] => 359
[2,7,8,5,4,3,1,6] => 0011110 => [2,4,1] => 81
[8,7,1,6,3,4,2,5] => 1101010 => [2,1,1,1,1,1] => 297
[3,8,6,7,2,4,1,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,3,8,7,4,2,6,1] => 1011101 => [1,1,3,1,1] => 233
[4,3,8,7,2,1,6,5] => 1011101 => [1,1,3,1,1] => 233
[8,3,6,1,4,2,7,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,3,5,8,2,4,1,6] => 1001010 => [1,2,1,1,1,1] => 345
[2,3,4,1,8,5,7,6] => 0010101 => [2,1,1,1,1,1] => 297
[4,1,3,2,6,7,8,5] => 1010001 => [1,1,1,3,1] => 219
[8,3,5,6,2,7,1,4] => 1001010 => [1,2,1,1,1,1] => 345
[5,3,6,1,8,7,2,4] => 1010110 => [1,1,1,1,2,1] => 345
[5,6,2,8,7,4,1,3] => 0101110 => [1,1,1,3,1] => 219
[7,8,5,6,1,4,2,3] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,8,6,5,4,7,1,3] => 0111010 => [1,3,1,1,1] => 219
[8,1,6,4,5,7,2,3] => 1010010 => [1,1,1,2,1,1] => 359
[5,8,3,6,1,7,2,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,1,8,6,5,7,3,4] => 1011010 => [1,1,2,1,1,1] => 359
[2,1,7,5,3,6,8,4] => 1011001 => [1,1,2,2,1] => 295
[6,7,3,5,2,1,8,4] => 0101101 => [1,1,1,2,1,1] => 359
[7,1,4,2,5,6,8,3] => 1010001 => [1,1,1,3,1] => 219
[2,7,4,1,6,5,8,3] => 0110101 => [1,2,1,1,1,1] => 345
[4,6,1,2,8,7,3,5] => 0100110 => [1,1,2,2,1] => 295
[2,4,1,5,8,7,6,3] => 0100111 => [1,1,2,3] => 145
[4,1,2,5,8,6,7,3] => 1000101 => [1,3,1,1,1] => 219
[6,4,2,1,5,8,7,3] => 1110011 => [3,2,2] => 105
[8,5,2,4,6,1,7,3] => 1100101 => [2,2,1,1,1] => 255
[7,5,3,2,6,8,1,4] => 1110010 => [3,2,1,1] => 145
[2,1,5,3,6,8,7,4] => 1010011 => [1,1,1,2,2] => 255
[7,3,5,4,6,1,8,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,3,4,1,5,7,8,2] => 1010001 => [1,1,1,3,1] => 219
[4,3,1,5,7,6,8,2] => 1100101 => [2,2,1,1,1] => 255
[3,1,4,5,6,8,7,2] => 1000011 => [1,4,2] => 81
[4,5,2,6,3,1,8,7] => 0101101 => [1,1,1,2,1,1] => 359
[6,5,2,1,4,3,8,7] => 1110101 => [3,1,1,1,1] => 165
[6,5,2,7,4,8,3,1] => 1101011 => [2,1,1,1,2] => 207
[8,5,2,7,4,1,6,3] => 1101101 => [2,1,2,1,1] => 252
[8,3,7,5,2,1,6,4] => 1011101 => [1,1,3,1,1] => 233
[6,3,7,5,2,8,4,1] => 1011011 => [1,1,2,1,2] => 252
[3,1,6,5,4,2,8,7] => 1011101 => [1,1,3,1,1] => 233
[5,6,3,2,4,1,8,7] => 0110101 => [1,2,1,1,1,1] => 345
[3,6,2,4,1,5,8,7] => 0101001 => [1,1,1,1,2,1] => 345
[2,6,1,3,5,4,8,7] => 0100101 => [1,1,2,1,1,1] => 359
[6,7,2,3,4,8,5,1] => 0100011 => [1,1,3,2] => 171
[8,7,2,3,4,1,6,5] => 1100101 => [2,2,1,1,1] => 255
[5,1,7,3,8,4,6,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[2,5,7,3,8,6,4,1] => 0010111 => [2,1,1,3] => 117
[7,6,1,3,5,8,4,2] => 1100011 => [2,3,2] => 126
[3,6,7,4,1,8,5,2] => 0011011 => [2,2,1,2] => 180
[5,6,3,7,4,8,1,2] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,1,6,7,4,8,5,3] => 1001011 => [1,2,1,1,2] => 241
[2,1,8,7,4,3,6,5] => 1011101 => [1,1,3,1,1] => 233
[5,8,3,7,4,2,6,1] => 0101101 => [1,1,1,2,1,1] => 359
[3,8,7,4,1,2,6,5] => 0111001 => [1,3,2,1] => 185
[7,8,1,3,5,2,6,4] => 0100101 => [1,1,2,1,1,1] => 359
[5,8,7,3,2,6,1,4] => 0111010 => [1,3,1,1,1] => 219
[2,8,6,3,1,5,7,4] => 0111001 => [1,3,2,1] => 185
[8,1,6,3,2,5,4,7] => 1011010 => [1,1,2,1,1,1] => 359
[2,8,4,1,6,3,7,5] => 0110101 => [1,2,1,1,1,1] => 345
[4,8,1,2,7,6,3,5] => 0100110 => [1,1,2,2,1] => 295
[3,8,4,2,5,7,1,6] => 0110010 => [1,2,2,1,1] => 295
[6,8,3,5,2,7,4,1] => 0101011 => [1,1,1,1,1,2] => 297
[2,1,5,3,8,7,6,4] => 1010111 => [1,1,1,1,3] => 165
[6,5,3,2,8,7,1,4] => 1110110 => [3,1,2,1] => 137
[7,5,2,4,8,1,6,3] => 1100101 => [2,2,1,1,1] => 255
[3,4,2,8,5,7,6,1] => 0101011 => [1,1,1,1,1,2] => 297
[2,4,1,8,7,6,5,3] => 0101111 => [1,1,1,4] => 75
[8,4,2,1,7,5,3,6] => 1110110 => [3,1,2,1] => 137
[4,3,1,8,6,7,5,2] => 1101011 => [2,1,1,1,2] => 207
[3,1,4,8,6,5,7,2] => 1001101 => [1,2,2,1,1] => 295
[7,1,6,5,4,8,2,3] => 1011010 => [1,1,2,1,1,1] => 359
[3,7,5,6,8,4,2,1] => 0100111 => [1,1,2,3] => 145
[5,7,1,6,8,2,4,3] => 0100101 => [1,1,2,1,1,1] => 359
[8,6,2,5,1,7,4,3] => 1101011 => [2,1,1,1,2] => 207
[5,6,2,1,8,7,3,4] => 0110110 => [1,2,1,2,1] => 281
[4,6,2,5,8,3,7,1] => 0100101 => [1,1,2,1,1,1] => 359
[7,5,2,6,3,8,1,4] => 1101010 => [2,1,1,1,1,1] => 297
[4,1,2,3,6,8,7,5] => 1000011 => [1,4,2] => 81
[2,4,3,1,8,5,6,7] => 0110100 => [1,2,1,1,2] => 241
[7,5,2,8,3,4,6,1] => 1101001 => [2,1,1,2,1] => 241
[5,6,2,8,4,3,1,7] => 0101110 => [1,1,1,3,1] => 219
[4,7,2,8,1,5,3,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[8,7,2,1,4,5,6,3] => 1110001 => [3,3,1] => 95
[3,6,8,7,1,5,4,2] => 0011011 => [2,2,1,2] => 180
[5,7,8,6,3,4,1,2] => 0011010 => [2,2,1,1,1] => 255
[7,1,8,5,4,3,6,2] => 1011101 => [1,1,3,1,1] => 233
[2,7,8,4,5,3,6,1] => 0010101 => [2,1,1,1,1,1] => 297
[5,7,3,8,1,4,6,2] => 0101001 => [1,1,1,1,2,1] => 345
[2,1,7,8,5,4,6,3] => 1001101 => [1,2,2,1,1] => 295
[2,1,5,8,4,6,3,7] => 1001010 => [1,2,1,1,1,1] => 345
[6,5,3,8,4,1,2,7] => 1101100 => [2,1,2,2] => 180
[7,5,8,4,3,6,2,1] => 1011011 => [1,1,2,1,2] => 252
[2,4,8,3,5,6,1,7] => 0010010 => [2,1,2,1,1] => 252
[4,1,8,3,6,5,2,7] => 1010110 => [1,1,1,1,2,1] => 345
[3,4,8,1,7,2,5,6] => 0010100 => [2,1,1,1,2] => 207
[8,4,1,3,7,2,6,5] => 1100101 => [2,2,1,1,1] => 255
[3,1,8,2,4,7,6,5] => 1010011 => [1,1,1,2,2] => 255
[2,3,8,1,4,6,7,5] => 0010001 => [2,1,3,1] => 157
[4,3,8,2,5,1,7,6] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,3,8,4,2,5,7,1] => 1011001 => [1,1,2,2,1] => 295
[7,4,3,8,2,5,1,6] => 1101010 => [2,1,1,1,1,1] => 297
[2,1,4,8,3,5,7,6] => 1001001 => [1,2,1,2,1] => 281
[6,8,2,4,3,5,1,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,8,2,3,5,1,6,7] => 0100100 => [1,1,2,1,2] => 252
[3,8,2,1,4,6,5,7] => 0110010 => [1,2,2,1,1] => 295
[2,8,1,3,4,5,7,6] => 0100001 => [1,1,4,1] => 107
[2,8,4,1,6,5,3,7] => 0110110 => [1,2,1,2,1] => 281
[2,8,4,1,6,5,7,3] => 0110101 => [1,2,1,1,1,1] => 345
[2,8,7,6,1,4,3,5] => 0111010 => [1,3,1,1,1] => 219
[2,8,5,6,7,4,3,1] => 0100111 => [1,1,2,3] => 145
[7,5,8,6,1,4,2,3] => 1011010 => [1,1,2,1,1,1] => 359
[3,5,7,6,1,4,2,8] => 0011010 => [2,2,1,1,1] => 255
[3,5,7,2,4,1,6,8] => 0010100 => [2,1,1,1,2] => 207
[7,5,8,2,4,1,6,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[2,8,5,3,4,7,6,1] => 0110011 => [1,2,2,2] => 211
[2,8,5,3,4,1,7,6] => 0110101 => [1,2,1,1,1,1] => 345
[2,8,5,3,4,1,6,7] => 0110100 => [1,2,1,1,2] => 241
[2,8,7,6,1,4,5,3] => 0111001 => [1,3,2,1] => 185
[2,8,5,3,6,1,7,4] => 0110101 => [1,2,1,1,1,1] => 345
[2,8,5,6,7,4,1,3] => 0100110 => [1,1,2,2,1] => 295
[2,8,5,3,4,7,1,6] => 0110010 => [1,2,2,1,1] => 295
[2,8,5,3,4,6,1,7] => 0110010 => [1,2,2,1,1] => 295
[2,8,5,3,4,6,7,1] => 0110001 => [1,2,3,1] => 185
[3,5,7,2,4,6,1,8] => 0010010 => [2,1,2,1,1] => 252
[6,5,2,7,3,1,4,8] => 1101100 => [2,1,2,2] => 180
[6,5,2,8,3,1,7,4] => 1101101 => [2,1,2,1,1] => 252
[6,5,2,8,3,1,4,7] => 1101100 => [2,1,2,2] => 180
[7,5,8,2,4,6,3,1] => 1010011 => [1,1,1,2,2] => 255
[7,5,8,6,1,4,3,2] => 1011011 => [1,1,2,1,2] => 252
[6,5,8,2,1,3,7,4] => 1011001 => [1,1,2,2,1] => 295
[3,5,6,2,1,8,7,4] => 0011011 => [2,2,1,2] => 180
[3,5,7,6,1,4,8,2] => 0011001 => [2,2,2,1] => 211
[3,5,7,2,4,1,8,6] => 0010101 => [2,1,1,1,1,1] => 297
[3,5,7,2,4,6,8,1] => 0010001 => [2,1,3,1] => 157
[6,5,2,7,3,1,8,4] => 1101101 => [2,1,2,1,1] => 252
[4,5,2,6,3,1,7,8] => 0101100 => [1,1,1,2,2] => 255
[4,1,2,3,7,6,8,5] => 1000101 => [1,3,1,1,1] => 219
[6,5,2,7,3,4,8,1] => 1101001 => [2,1,1,2,1] => 241
[5,1,6,7,4,3,8,2] => 1001101 => [1,2,2,1,1] => 295
[5,1,2,6,4,8,7,3] => 1001011 => [1,2,1,1,2] => 241
[5,1,2,8,6,4,7,3] => 1001101 => [1,2,2,1,1] => 295
[5,1,6,8,7,3,4,2] => 1001101 => [1,2,2,1,1] => 295
[6,5,2,8,3,7,4,1] => 1101011 => [2,1,1,1,2] => 207
[4,1,2,3,8,7,5,6] => 1000110 => [1,3,2,1] => 185
[4,1,2,3,8,6,5,7] => 1000110 => [1,3,2,1] => 185
[4,1,2,3,8,6,7,5] => 1000101 => [1,3,1,1,1] => 219
[4,1,2,3,7,6,5,8] => 1000110 => [1,3,2,1] => 185
[4,1,2,3,8,5,7,6] => 1000101 => [1,3,1,1,1] => 219
[7,1,6,8,4,3,5,2] => 1001101 => [1,2,2,1,1] => 295
[6,1,2,8,4,5,7,3] => 1001001 => [1,2,1,2,1] => 281
[5,6,8,2,3,1,7,4] => 0010101 => [2,1,1,1,1,1] => 297
[6,5,8,2,4,3,1,7] => 1010110 => [1,1,1,1,2,1] => 345
[6,5,8,2,4,3,7,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,5,2,8,3,4,1,6] => 1101010 => [2,1,1,1,1,1] => 297
[6,5,2,8,3,7,1,4] => 1101010 => [2,1,1,1,1,1] => 297
[6,5,2,7,3,4,1,8] => 1101010 => [2,1,1,1,1,1] => 297
[5,1,6,7,4,3,2,8] => 1001110 => [1,2,3,1] => 185
[5,1,6,8,7,3,2,4] => 1001110 => [1,2,3,1] => 185
[7,1,6,8,4,3,2,5] => 1001110 => [1,2,3,1] => 185
[5,7,8,6,3,4,2,1] => 0011011 => [2,2,1,2] => 180
[4,1,8,3,6,5,7,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,1,8,3,6,2,7,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[3,1,4,8,6,2,7,5] => 1001101 => [1,2,2,1,1] => 295
[3,1,4,8,6,5,2,7] => 1001110 => [1,2,3,1] => 185
[7,1,6,5,8,3,2,4] => 1010110 => [1,1,1,1,2,1] => 345
[4,1,6,7,8,3,2,5] => 1000110 => [1,3,2,1] => 185
[4,1,6,5,7,3,2,8] => 1010110 => [1,1,1,1,2,1] => 345
[4,5,2,6,3,7,1,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,5,2,7,3,8,1,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,5,6,2,4,8,7,1] => 0010011 => [2,1,2,2] => 180
[3,5,6,2,4,8,1,7] => 0010010 => [2,1,2,1,1] => 252
[3,7,5,6,8,4,1,2] => 0100110 => [1,1,2,2,1] => 295
[3,6,5,2,8,1,7,4] => 0110101 => [1,2,1,1,1,1] => 345
[6,1,2,5,8,4,7,3] => 1000101 => [1,3,1,1,1] => 219
[7,1,6,5,8,3,4,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,5,2,6,3,8,4,1] => 1101011 => [2,1,1,1,2] => 207
[4,1,2,3,5,8,7,6] => 1000011 => [1,4,2] => 81
[4,1,2,3,7,8,6,5] => 1000011 => [1,4,2] => 81
[4,5,2,7,3,8,6,1] => 0101011 => [1,1,1,1,1,2] => 297
[4,1,6,7,8,3,5,2] => 1000101 => [1,3,1,1,1] => 219
[4,1,2,6,8,5,7,3] => 1000101 => [1,3,1,1,1] => 219
[4,1,2,5,6,8,7,3] => 1000011 => [1,4,2] => 81
[4,5,2,6,3,7,8,1] => 0101001 => [1,1,1,1,2,1] => 345
[7,8,5,6,1,4,3,2] => 0101011 => [1,1,1,1,1,2] => 297
[7,8,4,2,1,5,3,6] => 0111010 => [1,3,1,1,1] => 219
[7,8,2,1,6,5,3,4] => 0110110 => [1,2,1,2,1] => 281
[6,4,1,2,5,7,3,8] => 1100010 => [2,3,1,1] => 171
[2,4,8,1,5,7,3,6] => 0010010 => [2,1,2,1,1] => 252
[4,3,8,1,7,2,5,6] => 1010100 => [1,1,1,1,1,2] => 297
[6,3,1,4,7,2,5,8] => 1100100 => [2,2,1,2] => 180
[7,8,3,4,5,1,6,2] => 0100101 => [1,1,2,1,1,1] => 359
[7,8,3,5,4,2,1,6] => 0101110 => [1,1,1,3,1] => 219
[7,8,4,1,2,3,6,5] => 0110001 => [1,2,3,1] => 185
[7,8,3,6,5,4,1,2] => 0101110 => [1,1,1,3,1] => 219
[7,8,2,1,5,3,4,6] => 0110100 => [1,2,1,1,2] => 241
[7,8,2,6,4,1,3,5] => 0101100 => [1,1,1,2,2] => 255
[7,8,2,5,6,4,1,3] => 0100110 => [1,1,2,2,1] => 295
[7,8,1,6,5,4,3,2] => 0101111 => [1,1,1,4] => 75
[6,2,1,7,5,4,3,8] => 1101110 => [2,1,3,1] => 157
[2,1,8,7,5,4,3,6] => 1011110 => [1,1,4,1] => 107
[1,3,8,2,6,4,7,5] => 0010101 => [2,1,1,1,1,1] => 297
[5,3,7,1,6,4,8,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,3,6,2,7,4,1,8] => 1010110 => [1,1,1,1,2,1] => 345
[6,1,2,5,8,7,4,3] => 1000111 => [1,3,3] => 95
[6,3,1,8,4,2,7,5] => 1101101 => [2,1,2,1,1] => 252
[6,4,2,1,5,3,8,7] => 1110101 => [3,1,1,1,1] => 165
[6,4,3,7,5,8,1,2] => 1101010 => [2,1,1,1,1,1] => 297
[4,3,8,7,5,6,1,2] => 1011010 => [1,1,2,1,1,1] => 359
[2,4,7,1,5,3,6,8] => 0010100 => [2,1,1,1,2] => 207
[1,3,7,6,4,2,8,5] => 0011101 => [2,3,1,1] => 171
[2,1,7,5,6,8,4,3] => 1010011 => [1,1,1,2,2] => 255
[3,7,2,8,6,4,1,5] => 0101110 => [1,1,1,3,1] => 219
[3,8,1,7,6,4,5,2] => 0101101 => [1,1,1,2,1,1] => 359
[1,8,5,7,3,6,4,2] => 0101011 => [1,1,1,1,1,2] => 297
[2,7,5,8,3,6,1,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,5,6,8,2,4,7,3] => 0001001 => [3,1,2,1] => 137
[2,6,8,5,3,1,4,7] => 0011100 => [2,3,2] => 126
[2,6,1,4,7,3,5,8] => 0100100 => [1,1,2,1,2] => 252
[5,6,7,3,8,4,1,2] => 0010110 => [2,1,1,2,1] => 241
[5,2,8,1,4,7,3,6] => 1010010 => [1,1,1,2,1,1] => 359
[4,6,7,5,2,1,3,8] => 0011100 => [2,3,2] => 126
[4,5,6,7,2,8,1,3] => 0001010 => [3,1,1,1,1] => 165
[4,5,7,6,1,8,3,2] => 0011011 => [2,2,1,2] => 180
[1,5,8,6,2,7,3,4] => 0011010 => [2,2,1,1,1] => 255
[1,6,5,8,3,2,7,4] => 0101101 => [1,1,1,2,1,1] => 359
[4,6,5,7,1,2,8,3] => 0101001 => [1,1,1,1,2,1] => 345
[4,7,5,6,3,1,8,2] => 0101101 => [1,1,1,2,1,1] => 359
[5,1,6,3,4,2,8,7] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,7,1,4,2,3,8,6] => 0101001 => [1,1,1,1,2,1] => 345
[5,7,6,4,3,8,1,2] => 0111010 => [1,3,1,1,1] => 219
[6,3,4,5,8,7,1,2] => 1000110 => [1,3,2,1] => 185
[6,2,4,1,8,3,7,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,2,3,5,4,8,1,7] => 1001010 => [1,2,1,1,1,1] => 345
[6,1,3,4,5,8,7,2] => 1000011 => [1,4,2] => 81
[5,1,4,2,7,6,8,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[1,6,2,4,7,8,3,5] => 0100010 => [1,1,3,1,1] => 233
[5,7,2,4,1,6,3,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[6,1,4,2,8,5,3,7] => 1010110 => [1,1,1,1,2,1] => 345
[6,7,5,8,1,4,3,2] => 0101011 => [1,1,1,1,1,2] => 297
[5,8,7,6,3,4,1,2] => 0111010 => [1,3,1,1,1] => 219
[5,8,7,6,2,3,1,4] => 0111010 => [1,3,1,1,1] => 219
[4,1,7,2,6,5,3,8] => 1010110 => [1,1,1,1,2,1] => 345
[4,8,2,1,5,6,3,7] => 0110010 => [1,2,2,1,1] => 295
[4,2,7,8,1,6,3,5] => 1001010 => [1,2,1,1,1,1] => 345
[2,1,8,7,6,5,3,4] => 1011110 => [1,1,4,1] => 107
[3,1,4,7,8,2,6,5] => 1000101 => [1,3,1,1,1] => 219
[3,1,7,4,5,6,8,2] => 1010001 => [1,1,1,3,1] => 219
[4,2,7,1,6,3,8,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,3,7,5,6,8,1,2] => 1010010 => [1,1,1,2,1,1] => 359
[4,8,6,3,5,7,1,2] => 0110010 => [1,2,2,1,1] => 295
[4,8,1,2,5,3,7,6] => 0100101 => [1,1,2,1,1,1] => 359
[3,8,6,5,2,4,1,7] => 0111010 => [1,3,1,1,1] => 219
[3,8,5,6,1,4,7,2] => 0101001 => [1,1,1,1,2,1] => 345
[5,3,7,8,2,1,6,4] => 1001101 => [1,2,2,1,1] => 295
[5,2,8,7,1,6,4,3] => 1011011 => [1,1,2,1,2] => 252
[1,6,8,7,5,2,4,3] => 0011101 => [2,3,1,1] => 171
[3,6,7,8,5,1,4,2] => 0001101 => [3,2,1,1] => 145
[3,7,6,8,5,2,1,4] => 0101110 => [1,1,1,3,1] => 219
[3,7,8,5,1,2,4,6] => 0011000 => [2,2,3] => 105
[3,7,1,6,4,2,5,8] => 0101100 => [1,1,1,2,2] => 255
[4,1,8,6,2,3,5,7] => 1011000 => [1,1,2,3] => 145
[4,7,8,6,3,5,1,2] => 0011010 => [2,2,1,1,1] => 255
[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] => 171
[2,8,1,6,4,5,3,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,8,7,5,1,4,3,6] => 0111010 => [1,3,1,1,1] => 219
[2,8,6,7,5,1,3,4] => 0101100 => [1,1,1,2,2] => 255
[2,7,8,6,5,4,1,3] => 0011110 => [2,4,1] => 81
[6,4,2,7,1,3,8,5] => 1101001 => [2,1,1,2,1] => 241
[7,4,2,5,1,3,8,6] => 1101001 => [2,1,1,2,1] => 241
[7,5,3,6,1,8,2,4] => 1101010 => [2,1,1,1,1,1] => 297
[8,5,3,6,1,7,2,4] => 1101010 => [2,1,1,1,1,1] => 297
[7,3,6,2,4,8,1,5] => 1010010 => [1,1,1,2,1,1] => 359
[4,3,7,1,2,5,8,6] => 1010001 => [1,1,1,3,1] => 219
[3,6,2,7,1,4,8,5] => 0101001 => [1,1,1,1,2,1] => 345
[5,3,6,7,1,2,8,4] => 1001001 => [1,2,1,2,1] => 281
[6,3,7,4,1,2,8,5] => 1011001 => [1,1,2,2,1] => 295
[4,7,1,5,2,3,8,6] => 0101001 => [1,1,1,1,2,1] => 345
[3,7,5,1,2,4,8,6] => 0110001 => [1,2,3,1] => 185
[7,6,4,2,3,8,1,5] => 1110010 => [3,2,1,1] => 145
[8,6,4,2,3,7,1,5] => 1110010 => [3,2,1,1] => 145
[4,7,6,3,8,1,2,5] => 0110100 => [1,2,1,1,2] => 241
[5,7,4,2,3,8,1,6] => 0110010 => [1,2,2,1,1] => 295
[3,7,6,1,4,8,2,5] => 0110010 => [1,2,2,1,1] => 295
[6,4,7,5,2,8,1,3] => 1011010 => [1,1,2,1,1,1] => 359
[7,4,8,5,2,6,1,3] => 1011010 => [1,1,2,1,1,1] => 359
[5,8,2,6,3,7,1,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,8,6,2,4,7,1,5] => 0110010 => [1,2,2,1,1] => 295
[3,8,5,7,1,2,4,6] => 0101000 => [1,1,1,1,3] => 165
[2,8,5,7,1,3,4,6] => 0101000 => [1,1,1,1,3] => 165
[4,8,6,2,7,1,3,5] => 0110100 => [1,2,1,1,2] => 241
[2,6,5,8,1,3,4,7] => 0101000 => [1,1,1,1,3] => 165
[3,6,5,8,1,2,4,7] => 0101000 => [1,1,1,1,3] => 165
[2,5,7,4,8,1,3,6] => 0010100 => [2,1,1,1,2] => 207
[5,4,6,7,2,8,1,3] => 1001010 => [1,2,1,1,1,1] => 345
[3,5,7,1,4,8,2,6] => 0010010 => [2,1,2,1,1] => 252
[5,3,7,2,4,8,1,6] => 1010010 => [1,1,1,2,1,1] => 359
[5,4,7,3,8,1,2,6] => 1010100 => [1,1,1,1,1,2] => 297
[7,4,6,3,8,1,2,5] => 1010100 => [1,1,1,1,1,2] => 297
[8,4,6,3,7,1,2,5] => 1010100 => [1,1,1,1,1,2] => 297
[8,4,1,6,7,2,3,5] => 1100100 => [2,2,1,2] => 180
[7,4,1,6,8,2,3,5] => 1100100 => [2,2,1,2] => 180
[6,5,3,7,1,8,2,4] => 1101010 => [2,1,1,1,1,1] => 297
[6,5,1,2,7,8,3,4] => 1100010 => [2,3,1,1] => 171
[5,3,6,4,7,8,1,2] => 1010010 => [1,1,1,2,1,1] => 359
[6,3,7,4,8,5,1,2] => 1010110 => [1,1,1,1,2,1] => 345
[4,7,1,5,8,6,2,3] => 0100110 => [1,1,2,2,1] => 295
[7,5,1,2,8,6,3,4] => 1100110 => [2,2,2,1] => 211
[7,5,3,8,1,6,2,4] => 1101010 => [2,1,1,1,1,1] => 297
[7,6,1,8,5,2,3,4] => 1101100 => [2,1,2,2] => 180
[8,6,1,7,5,2,3,4] => 1101100 => [2,1,2,2] => 180
[5,7,2,8,1,6,3,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[6,3,7,8,5,1,2,4] => 1001100 => [1,2,2,2] => 211
[3,6,8,2,7,1,4,5] => 0010100 => [2,1,1,1,2] => 207
[2,4,8,7,1,3,5,6] => 0011000 => [2,2,3] => 105
[4,3,8,7,1,2,5,6] => 1011000 => [1,1,2,3] => 145
[5,3,8,7,1,2,4,6] => 1011000 => [1,1,2,3] => 145
[8,3,7,6,1,2,4,5] => 1011000 => [1,1,2,3] => 145
[8,4,7,6,1,2,3,5] => 1011000 => [1,1,2,3] => 145
[5,4,8,7,1,2,3,6] => 1011000 => [1,1,2,3] => 145
[3,5,8,7,1,2,4,6] => 0011000 => [2,2,3] => 105
[2,5,8,7,1,3,4,6] => 0011000 => [2,2,3] => 105
[4,6,8,2,7,1,3,5] => 0010100 => [2,1,1,1,2] => 207
[6,8,4,7,5,1,2,3] => 0101100 => [1,1,1,2,2] => 255
[5,8,7,1,6,2,3,4] => 0110100 => [1,2,1,1,2] => 241
[2,8,7,6,1,3,4,5] => 0111000 => [1,3,3] => 95
[3,8,7,6,1,2,4,5] => 0111000 => [1,3,3] => 95
[4,8,7,6,1,2,3,5] => 0111000 => [1,3,3] => 95
[5,6,3,1,4,2,8,7] => 0110101 => [1,2,1,1,1,1] => 345
[7,5,3,8,2,1,6,4] => 1101101 => [2,1,2,1,1] => 252
[3,8,7,4,5,1,6,2] => 0110101 => [1,2,1,1,1,1] => 345
[6,7,1,4,5,8,2,3] => 0100010 => [1,1,3,1,1] => 233
[2,1,7,8,5,3,6,4] => 1001101 => [1,2,2,1,1] => 295
[5,7,3,8,1,2,6,4] => 0101001 => [1,1,1,1,2,1] => 345
[8,7,1,4,5,3,2,6] => 1100110 => [2,2,2,1] => 211
[2,7,8,4,1,6,5,3] => 0011011 => [2,2,1,2] => 180
[7,1,8,4,2,6,5,3] => 1011011 => [1,1,2,1,2] => 252
[7,5,1,4,8,6,3,2] => 1100111 => [2,2,3] => 105
[6,5,3,1,8,4,7,2] => 1110101 => [3,1,1,1,1] => 165
[6,4,3,8,1,5,7,2] => 1101001 => [2,1,1,2,1] => 241
[8,6,3,1,2,5,7,4] => 1110001 => [3,3,1] => 95
[8,7,1,4,2,6,5,3] => 1101011 => [2,1,1,1,2] => 207
[7,3,8,4,1,6,5,2] => 1011011 => [1,1,2,1,2] => 252
[2,3,4,5,6,7,8,1,9] => 00000010 => [6,1,1] => 35
[2,3,4,5,6,8,9,1,7] => 00000010 => [6,1,1] => 35
[2,3,4,5,7,8,9,1,6] => 00000010 => [6,1,1] => 35
[2,3,4,6,7,8,9,1,5] => 00000010 => [6,1,1] => 35
[2,3,5,6,7,8,9,1,4] => 00000010 => [6,1,1] => 35
[2,4,5,6,7,8,9,1,3] => 00000010 => [6,1,1] => 35
[3,4,5,6,7,8,9,1,2] => 00000010 => [6,1,1] => 35
[2,3,4,5,6,7,8,9,10,1] => 000000001 => [8,1] => 9
[2,3,4,5,6,7,8,9,1,10] => 000000010 => [7,1,1] => 44
[2,3,4,5,6,7,1,8,9] => 00000100 => [5,1,2] => 83
[2,3,4,5,6,7,8,10,1,9] => 000000010 => [7,1,1] => 44
[2,3,4,5,6,1,9,7,8] => 00001010 => [4,1,1,1,1] => 275
[2,3,4,5,6,7,9,10,1,8] => 000000010 => [7,1,1] => 44
[2,3,4,5,1,8,9,6,7] => 00010010 => [3,1,2,1,1] => 502
[2,3,4,5,6,8,9,10,1,7] => 000000010 => [7,1,1] => 44
[2,3,4,1,7,8,9,5,6] => 00100010 => [2,1,3,1,1] => 609
[2,3,4,5,7,8,9,10,1,6] => 000000010 => [7,1,1] => 44
[2,3,1,6,7,8,9,4,5] => 01000010 => [1,1,4,1,1] => 450
[2,3,4,6,7,8,9,10,1,5] => 000000010 => [7,1,1] => 44
[2,1,5,6,7,8,9,3,4] => 10000010 => [1,5,1,1] => 170
[2,3,5,6,7,8,9,10,1,4] => 000000010 => [7,1,1] => 44
[1,4,5,6,7,8,9,2,3] => 00000010 => [6,1,1] => 35
[2,4,5,6,7,8,9,10,1,3] => 000000010 => [7,1,1] => 44
[3,4,5,6,7,8,9,10,1,2] => 000000010 => [7,1,1] => 44
[3,6,4,5,7,2,8,1] => 0100101 => [1,1,2,1,1,1] => 359
[5,3,2,7,4,6,8,1] => 1101001 => [2,1,1,2,1] => 241
[7,5,3,6,2,4,8,1] => 1101001 => [2,1,1,2,1] => 241
[6,3,2,5,1,8,4,7] => 1101010 => [2,1,1,1,1,1] => 297
[8,5,3,6,2,7,1,4] => 1101010 => [2,1,1,1,1,1] => 297
[8,2,6,3,4,7,1,5] => 1010010 => [1,1,1,2,1,1] => 359
[7,2,6,3,4,5,8,1] => 1010001 => [1,1,1,3,1] => 219
[6,2,7,3,4,5,8,1] => 1010001 => [1,1,1,3,1] => 219
[4,2,5,7,3,6,8,1] => 1001001 => [1,2,1,2,1] => 281
[5,4,7,6,2,3,8,1] => 1011001 => [1,1,2,2,1] => 295
[6,7,3,5,2,4,8,1] => 0101001 => [1,1,1,1,2,1] => 345
[3,7,6,2,4,5,8,1] => 0110001 => [1,2,3,1] => 185
[2,7,6,3,4,5,8,1] => 0110001 => [1,2,3,1] => 185
[6,5,3,1,2,8,4,7] => 1110010 => [3,2,1,1] => 145
[8,6,5,2,3,7,1,4] => 1110010 => [3,2,1,1] => 145
[8,5,2,1,7,3,4,6] => 1110100 => [3,1,1,2] => 117
[7,5,2,1,8,3,4,6] => 1110100 => [3,1,1,2] => 117
[1,6,3,2,8,4,5,7] => 0110100 => [1,2,1,1,2] => 241
[5,6,2,3,1,8,4,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,2,6,5,1,8,3,7] => 1011010 => [1,1,2,1,1,1] => 359
[5,4,8,6,2,7,1,3] => 1011010 => [1,1,2,1,1,1] => 359
[6,8,3,5,2,7,1,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[7,8,5,2,3,6,1,4] => 0110010 => [1,2,2,1,1] => 295
[6,8,2,1,7,3,4,5] => 0110100 => [1,2,1,1,2] => 241
[1,8,6,3,7,2,4,5] => 0110100 => [1,2,1,1,2] => 241
[1,8,2,7,3,4,5,6] => 0101000 => [1,1,1,1,3] => 165
[2,8,1,7,3,4,5,6] => 0101000 => [1,1,1,1,3] => 165
[3,8,6,1,7,2,4,5] => 0110100 => [1,2,1,1,2] => 241
[4,8,1,5,7,2,3,6] => 0100100 => [1,1,2,1,2] => 252
[4,2,8,3,7,1,5,6] => 1010100 => [1,1,1,1,1,2] => 297
[8,1,2,7,3,4,5,6] => 1001000 => [1,2,1,3] => 137
[3,6,2,7,1,8,4,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[6,3,7,1,2,8,4,5] => 1010010 => [1,1,1,2,1,1] => 359
[7,2,6,1,8,3,4,5] => 1010100 => [1,1,1,1,1,2] => 297
[7,3,1,5,8,2,4,6] => 1100100 => [2,2,1,2] => 180
[3,2,1,5,8,4,6,7] => 1100100 => [2,2,1,2] => 180
[5,4,1,3,6,8,2,7] => 1100010 => [2,3,1,1] => 171
[1,5,3,4,6,8,2,7] => 0100010 => [1,1,3,1,1] => 233
[4,3,5,1,6,8,2,7] => 1010010 => [1,1,1,2,1,1] => 359
[5,4,6,3,8,7,1,2] => 1010110 => [1,1,1,1,2,1] => 345
[3,6,4,5,8,7,1,2] => 0100110 => [1,1,2,2,1] => 295
[6,5,3,4,8,7,1,2] => 1100110 => [2,2,2,1] => 211
[5,3,2,8,7,1,4,6] => 1101100 => [2,1,2,2] => 180
[5,3,1,8,7,2,4,6] => 1101100 => [2,1,2,2] => 180
[8,5,3,7,6,1,2,4] => 1101100 => [2,1,2,2] => 180
[6,1,8,3,7,2,4,5] => 1010100 => [1,1,1,1,1,2] => 297
[6,3,8,1,7,2,4,5] => 1010100 => [1,1,1,1,1,2] => 297
[7,6,8,2,3,5,1,4] => 1010010 => [1,1,1,2,1,1] => 359
[3,7,8,2,4,6,1,5] => 0010010 => [2,1,2,1,1] => 252
[6,7,3,8,2,5,1,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,4,7,8,2,6,1,3] => 1001010 => [1,2,1,1,1,1] => 345
[4,2,5,8,7,1,3,6] => 1001100 => [1,2,2,2] => 211
[2,3,8,7,1,4,5,6] => 0011000 => [2,2,3] => 105
[7,2,8,6,1,3,4,5] => 1011000 => [1,1,2,3] => 145
[2,1,8,7,3,4,5,6] => 1011000 => [1,1,2,3] => 145
[8,2,7,6,1,3,4,5] => 1011000 => [1,1,2,3] => 145
[1,2,8,7,3,4,5,6] => 0011000 => [2,2,3] => 105
[1,3,8,7,2,4,5,6] => 0011000 => [2,2,3] => 105
[1,7,8,3,6,2,4,5] => 0010100 => [2,1,1,1,2] => 207
[4,1,5,8,7,2,3,6] => 1001100 => [1,2,2,2] => 211
[5,4,8,7,6,1,2,3] => 1011100 => [1,1,3,2] => 171
[6,8,3,7,5,1,2,4] => 0101100 => [1,1,1,2,2] => 255
[7,8,6,2,5,1,3,4] => 0110100 => [1,2,1,1,2] => 241
[8,1,6,7,3,2,5,4] => 1001101 => [1,2,2,1,1] => 295
[8,1,6,7,3,2,4,5] => 1001100 => [1,2,2,2] => 211
[8,1,5,3,7,2,4,6] => 1010100 => [1,1,1,1,1,2] => 297
[8,1,5,3,6,2,4,7] => 1010100 => [1,1,1,1,1,2] => 297
[7,5,1,3,6,2,4,8] => 1100100 => [2,2,1,2] => 180
[7,5,8,3,6,2,4,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,4,8,3,2,6,5,1] => 1011011 => [1,1,2,1,2] => 252
[7,4,1,3,2,6,5,8] => 1101010 => [2,1,1,1,1,1] => 297
[8,1,4,3,2,6,5,7] => 1011010 => [1,1,2,1,1,1] => 359
[8,1,4,3,2,7,5,6] => 1011010 => [1,1,2,1,1,1] => 359
[8,1,4,3,2,7,6,5] => 1011011 => [1,1,2,1,2] => 252
[8,1,5,4,6,7,2,3] => 1010010 => [1,1,1,2,1,1] => 359
[8,1,5,3,6,2,7,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,1,4,3,2,6,7,5] => 1011001 => [1,1,2,2,1] => 295
[8,1,4,3,2,5,7,6] => 1011001 => [1,1,2,2,1] => 295
[8,1,4,3,2,5,6,7] => 1011000 => [1,1,2,3] => 145
[7,4,1,3,2,5,6,8] => 1101000 => [2,1,1,3] => 117
[7,4,8,3,2,5,6,1] => 1011001 => [1,1,2,2,1] => 295
[6,4,3,8,2,5,7,1] => 1101001 => [2,1,1,2,1] => 241
[6,4,3,1,2,5,8,7] => 1110001 => [3,3,1] => 95
[7,4,1,3,2,5,8,6] => 1101001 => [2,1,1,2,1] => 241
[7,4,1,3,2,6,8,5] => 1101001 => [2,1,1,2,1] => 241
[7,5,1,3,6,2,8,4] => 1100101 => [2,2,1,1,1] => 255
[7,5,1,4,6,8,2,3] => 1100010 => [2,3,1,1] => 171
[7,5,8,3,6,2,1,4] => 1010110 => [1,1,1,1,2,1] => 345
[7,4,8,3,2,6,1,5] => 1011010 => [1,1,2,1,1,1] => 359
[7,4,8,3,2,5,1,6] => 1011010 => [1,1,2,1,1,1] => 359
[6,4,3,8,2,5,1,7] => 1101010 => [2,1,1,1,1,1] => 297
[6,4,3,7,2,5,8,1] => 1101001 => [2,1,1,2,1] => 241
[5,4,3,2,8,6,1,7] => 1110110 => [3,1,2,1] => 137
[5,4,3,2,8,7,1,6] => 1110110 => [3,1,2,1] => 137
[6,5,3,8,7,2,1,4] => 1101110 => [2,1,3,1] => 157
[6,5,4,8,7,1,2,3] => 1101100 => [2,1,2,2] => 180
[6,5,4,1,7,8,2,3] => 1110010 => [3,2,1,1] => 145
[6,5,3,1,7,2,8,4] => 1110101 => [3,1,1,1,1] => 165
[6,4,3,1,2,7,8,5] => 1110001 => [3,3,1] => 95
[5,4,3,2,1,8,6,7] => 1111010 => [4,1,1,1] => 75
[6,5,3,1,8,2,7,4] => 1110101 => [3,1,1,1,1] => 165
[6,5,4,1,8,7,2,3] => 1110110 => [3,1,2,1] => 137
[7,5,1,4,8,6,2,3] => 1100110 => [2,2,2,1] => 211
[7,4,1,3,2,8,6,5] => 1101011 => [2,1,1,1,2] => 207
[7,4,1,3,2,8,5,6] => 1101010 => [2,1,1,1,1,1] => 297
[6,4,3,1,2,8,5,7] => 1110010 => [3,2,1,1] => 145
[6,4,3,1,2,7,5,8] => 1110010 => [3,2,1,1] => 145
[6,4,3,8,2,7,5,1] => 1101011 => [2,1,1,1,2] => 207
[6,5,3,8,7,2,4,1] => 1101101 => [2,1,2,1,1] => 252
[6,5,3,1,7,2,4,8] => 1110100 => [3,1,1,2] => 117
[6,5,3,1,8,2,4,7] => 1110100 => [3,1,1,2] => 117
[7,5,1,3,8,2,4,6] => 1100100 => [2,2,1,2] => 180
[7,6,1,8,3,2,4,5] => 1101100 => [2,1,2,2] => 180
[7,6,1,8,4,5,2,3] => 1101010 => [2,1,1,1,1,1] => 297
[7,6,8,1,4,5,2,3] => 1010010 => [1,1,1,2,1,1] => 359
[7,6,8,1,3,2,5,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,5,3,7,8,2,4,1] => 1100101 => [2,2,1,1,1] => 255
[6,4,3,7,2,8,5,1] => 1101011 => [2,1,1,1,2] => 207
[6,4,3,7,2,1,5,8] => 1101100 => [2,1,2,2] => 180
[7,4,8,3,2,1,5,6] => 1011100 => [1,1,3,2] => 171
[7,4,8,3,2,1,6,5] => 1011101 => [1,1,3,1,1] => 233
[7,5,8,3,1,2,6,4] => 1011001 => [1,1,2,2,1] => 295
[7,5,8,4,1,6,2,3] => 1011010 => [1,1,2,1,1,1] => 359
[6,5,4,8,1,7,2,3] => 1101010 => [2,1,1,1,1,1] => 297
[6,5,3,8,1,2,7,4] => 1101001 => [2,1,1,2,1] => 241
[5,4,3,2,8,1,7,6] => 1110101 => [3,1,1,1,1] => 165
[6,4,3,7,2,1,8,5] => 1101101 => [2,1,2,1,1] => 252
[6,5,3,7,1,2,8,4] => 1101001 => [2,1,1,2,1] => 241
[6,5,4,7,1,8,2,3] => 1101010 => [2,1,1,1,1,1] => 297
[6,5,3,7,8,2,1,4] => 1100110 => [2,2,2,1] => 211
[6,4,3,7,2,8,1,5] => 1101010 => [2,1,1,1,1,1] => 297
[5,4,3,2,7,8,1,6] => 1110010 => [3,2,1,1] => 145
[5,4,3,2,6,8,1,7] => 1110010 => [3,2,1,1] => 145
[5,6,2,1,3,4,8,7] => 0110001 => [1,2,3,1] => 185
[5,8,2,7,4,1,3,6] => 0101100 => [1,1,1,2,2] => 255
[5,3,7,8,2,1,4,6] => 1001100 => [1,2,2,2] => 211
[7,6,1,2,5,8,3,4] => 1100010 => [2,3,1,1] => 171
[2,1,7,8,4,3,5,6] => 1001100 => [1,2,2,2] => 211
[8,3,7,4,1,5,6,2] => 1011001 => [1,1,2,2,1] => 295
[7,8,1,2,5,4,6,3] => 0100101 => [1,1,2,1,1,1] => 359
[2,6,8,3,1,4,7,5] => 0011001 => [2,2,2,1] => 211
[6,1,8,3,2,4,5,7] => 1011000 => [1,1,2,3] => 145
[8,4,1,3,7,6,2,5] => 1100110 => [2,2,2,1] => 211
[5,8,7,4,2,1,6,3] => 0111101 => [1,4,1,1] => 107
[7,5,1,6,8,3,4,2] => 1100101 => [2,2,1,1,1] => 255
[6,5,2,1,8,7,4,3] => 1110111 => [3,1,3] => 69
[4,7,2,8,1,3,6,5] => 0101001 => [1,1,1,1,2,1] => 345
[7,3,8,6,1,2,5,4] => 1011001 => [1,1,2,2,1] => 295
[3,4,7,1,8,2,6,5] => 0010101 => [2,1,1,1,1,1] => 297
[1,8,2,4,3,5,6,7] => 0101000 => [1,1,1,1,3] => 165
[1,7,2,4,3,5,6,8] => 0101000 => [1,1,1,1,3] => 165
[1,6,2,4,3,5,7,8] => 0101000 => [1,1,1,1,3] => 165
[1,5,2,4,3,6,7,8] => 0101000 => [1,1,1,1,3] => 165
[1,6,2,5,3,4,7,8] => 0101000 => [1,1,1,1,3] => 165
[1,7,2,5,3,4,6,8] => 0101000 => [1,1,1,1,3] => 165
[1,8,2,5,3,4,6,7] => 0101000 => [1,1,1,1,3] => 165
[1,8,2,6,3,4,5,7] => 0101000 => [1,1,1,1,3] => 165
[1,7,2,6,3,4,5,8] => 0101000 => [1,1,1,1,3] => 165
[1,8,2,7,3,5,4,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,7,2,8,3,5,4,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,6,2,8,3,5,4,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,5,2,8,3,6,4,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,4,2,8,3,6,5,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,3,2,8,4,6,5,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,2,3,8,4,6,5,7] => 0001010 => [3,1,1,1,1] => 165
[1,2,3,7,4,6,5,8] => 0001010 => [3,1,1,1,1] => 165
[1,3,2,7,4,6,5,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,4,2,7,3,6,5,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,5,2,7,3,6,4,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,6,2,7,3,5,4,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,7,2,6,3,5,4,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,8,2,6,3,5,4,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,8,2,5,3,6,4,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,7,2,5,3,6,4,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,6,2,5,3,7,4,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,5,2,4,3,7,6,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,6,2,4,3,7,5,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,7,2,4,3,6,5,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,8,2,4,3,6,5,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,8,2,3,4,6,5,7] => 0100010 => [1,1,3,1,1] => 233
[1,7,2,3,4,6,5,8] => 0100010 => [1,1,3,1,1] => 233
[1,8,2,3,4,7,5,6] => 0100010 => [1,1,3,1,1] => 233
[1,8,2,4,3,7,5,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,7,2,4,3,8,5,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,6,2,4,3,8,5,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,5,2,4,3,8,6,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,6,2,5,3,8,4,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,7,2,5,3,8,4,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,8,2,5,3,7,4,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,8,2,6,3,7,4,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,7,2,6,3,8,4,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,2,3,8,4,7,5,6] => 0001010 => [3,1,1,1,1] => 165
[1,3,2,8,4,7,5,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,4,2,8,3,7,5,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,5,2,8,3,7,4,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,6,2,8,3,7,4,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,7,2,8,3,6,4,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,8,2,7,3,6,4,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,6,3,7,2,5,1,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,6,3,7,5,2,1,8] => 0101110 => [1,1,1,3,1] => 219
[4,6,3,8,5,1,7,2] => 0101101 => [1,1,1,2,1,1] => 359
[4,6,3,8,5,1,2,7] => 0101100 => [1,1,1,2,2] => 255
[5,6,8,3,4,1,2,7] => 0010100 => [2,1,1,1,2] => 207
[5,6,8,3,4,1,7,2] => 0010101 => [2,1,1,1,1,1] => 297
[4,6,2,7,5,3,1,8] => 0101110 => [1,1,1,3,1] => 219
[5,6,7,2,4,3,1,8] => 0010110 => [2,1,1,2,1] => 241
[5,6,8,4,3,1,7,2] => 0011101 => [2,3,1,1] => 171
[5,6,8,4,3,1,2,7] => 0011100 => [2,3,2] => 126
[5,7,8,4,1,6,2,3] => 0011010 => [2,2,1,1,1] => 255
[5,7,8,4,1,6,3,2] => 0011011 => [2,2,1,2] => 180
[5,7,8,4,1,3,6,2] => 0011001 => [2,2,2,1] => 211
[5,6,8,4,2,1,7,3] => 0011101 => [2,3,1,1] => 171
[5,6,8,2,4,1,7,3] => 0010101 => [2,1,1,1,1,1] => 297
[4,6,2,8,5,1,7,3] => 0101101 => [1,1,1,2,1,1] => 359
[3,2,6,8,5,1,7,4] => 1001101 => [1,2,2,1,1] => 295
[3,2,6,8,5,1,4,7] => 1001100 => [1,2,2,2] => 211
[4,6,2,8,5,1,3,7] => 0101100 => [1,1,1,2,2] => 255
[5,6,8,2,4,1,3,7] => 0010100 => [2,1,1,1,2] => 207
[5,6,8,4,2,1,3,7] => 0011100 => [2,3,2] => 126
[5,7,8,4,1,3,2,6] => 0011010 => [2,2,1,1,1] => 255
[5,7,8,4,1,2,6,3] => 0011001 => [2,2,2,1] => 211
[5,7,8,4,1,2,3,6] => 0011000 => [2,2,3] => 105
[6,7,8,1,5,2,3,4] => 0010100 => [2,1,1,1,2] => 207
[6,7,8,1,5,2,4,3] => 0010101 => [2,1,1,1,1,1] => 297
[6,7,8,1,5,3,2,4] => 0010110 => [2,1,1,2,1] => 241
[6,7,8,1,3,5,2,4] => 0010010 => [2,1,2,1,1] => 252
[5,7,8,2,1,6,3,4] => 0011010 => [2,2,1,1,1] => 255
[4,7,2,8,1,6,3,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,2,7,8,1,6,4,5] => 1001010 => [1,2,1,1,1,1] => 345
[3,2,7,8,1,6,5,4] => 1001011 => [1,2,1,1,2] => 241
[4,7,2,8,1,6,5,3] => 0101011 => [1,1,1,1,1,2] => 297
[5,7,8,2,1,6,4,3] => 0011011 => [2,2,1,2] => 180
[6,7,8,1,3,5,4,2] => 0010011 => [2,1,2,2] => 180
[6,7,8,1,5,3,4,2] => 0010101 => [2,1,1,1,1,1] => 297
[6,7,8,1,5,4,3,2] => 0010111 => [2,1,1,3] => 117
[6,7,8,1,5,4,2,3] => 0010110 => [2,1,1,2,1] => 241
[6,7,8,1,4,5,2,3] => 0010010 => [2,1,2,1,1] => 252
[6,7,8,1,4,5,3,2] => 0010011 => [2,1,2,2] => 180
[6,7,8,1,4,3,5,2] => 0010101 => [2,1,1,1,1,1] => 297
[6,7,8,1,3,4,5,2] => 0010001 => [2,1,3,1] => 157
[5,7,8,2,1,4,6,3] => 0011001 => [2,2,2,1] => 211
[4,7,2,8,1,5,6,3] => 0101001 => [1,1,1,1,2,1] => 345
[3,2,7,8,1,5,6,4] => 1001001 => [1,2,1,2,1] => 281
[3,2,6,8,4,1,7,5] => 1001101 => [1,2,2,1,1] => 295
[4,6,2,8,3,1,7,5] => 0101101 => [1,1,1,2,1,1] => 359
[5,6,8,3,2,1,7,4] => 0011101 => [2,3,1,1] => 171
[5,7,8,3,1,4,6,2] => 0011001 => [2,2,2,1] => 211
[5,7,8,3,1,6,4,2] => 0011011 => [2,2,1,2] => 180
[5,7,8,3,1,6,2,4] => 0011010 => [2,2,1,1,1] => 255
[4,7,3,8,1,6,2,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,7,3,8,1,6,5,2] => 0101011 => [1,1,1,1,1,2] => 297
[4,7,3,8,1,5,6,2] => 0101001 => [1,1,1,1,2,1] => 345
[4,6,3,8,2,1,7,5] => 0101101 => [1,1,1,2,1,1] => 359
[4,5,3,2,8,1,7,6] => 0110101 => [1,2,1,1,1,1] => 345
[4,5,2,3,8,1,7,6] => 0100101 => [1,1,2,1,1,1] => 359
[3,2,5,4,8,1,7,6] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,5,3,2,8,1,6,7] => 0110100 => [1,2,1,1,2] => 241
[4,6,3,8,2,1,5,7] => 0101100 => [1,1,1,2,2] => 255
[4,7,3,8,1,5,2,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,7,3,8,1,2,6,5] => 0101001 => [1,1,1,1,2,1] => 345
[4,7,3,8,1,2,5,6] => 0101000 => [1,1,1,1,3] => 165
[5,7,8,3,1,2,4,6] => 0011000 => [2,2,3] => 105
[5,7,8,3,1,2,6,4] => 0011001 => [2,2,2,1] => 211
[5,7,8,3,1,4,2,6] => 0011010 => [2,2,1,1,1] => 255
[5,6,8,3,2,1,4,7] => 0011100 => [2,3,2] => 126
[3,2,7,8,1,5,4,6] => 1001010 => [1,2,1,1,1,1] => 345
[5,7,8,2,1,4,3,6] => 0011010 => [2,2,1,1,1] => 255
[6,7,8,1,3,4,2,5] => 0010010 => [2,1,2,1,1] => 252
[6,7,8,1,4,3,2,5] => 0010110 => [2,1,1,2,1] => 241
[6,7,8,1,4,2,5,3] => 0010101 => [2,1,1,1,1,1] => 297
[6,7,8,1,4,2,3,5] => 0010100 => [2,1,1,1,2] => 207
[6,7,8,1,2,5,3,4] => 0010010 => [2,1,2,1,1] => 252
[6,7,8,1,2,5,4,3] => 0010011 => [2,1,2,2] => 180
[6,7,8,1,2,4,5,3] => 0010001 => [2,1,3,1] => 157
[6,7,8,1,3,2,5,4] => 0010101 => [2,1,1,1,1,1] => 297
[5,7,8,2,1,3,6,4] => 0011001 => [2,2,2,1] => 211
[3,2,7,8,1,4,6,5] => 1001001 => [1,2,1,2,1] => 281
[6,7,8,1,3,2,4,5] => 0010100 => [2,1,1,1,2] => 207
[6,7,8,1,2,4,3,5] => 0010010 => [2,1,2,1,1] => 252
[6,7,8,1,2,3,5,4] => 0010001 => [2,1,3,1] => 157
[7,2,8,5,1,6,4,3] => 1011011 => [1,1,2,1,2] => 252
[1,3,7,5,2,6,4,8] => 0011010 => [2,2,1,1,1] => 255
[1,3,7,5,4,2,6,8] => 0011100 => [2,3,2] => 126
[7,2,8,5,4,1,6,3] => 1011101 => [1,1,3,1,1] => 233
[2,8,5,4,3,1,7,6] => 0111101 => [1,4,1,1] => 107
[2,8,4,5,6,1,7,3] => 0100101 => [1,1,2,1,1,1] => 359
[2,8,6,5,7,3,1,4] => 0110110 => [1,2,1,2,1] => 281
[2,8,4,5,3,7,1,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,8,4,3,5,6,1,7] => 0110010 => [1,2,2,1,1] => 295
[7,2,8,4,5,6,1,3] => 1010010 => [1,1,1,2,1,1] => 359
[1,6,3,7,5,2,4,8] => 0101100 => [1,1,1,2,2] => 255
[6,2,3,8,5,1,7,4] => 1001101 => [1,2,2,1,1] => 295
[6,3,2,8,5,1,4,7] => 1101100 => [2,1,2,2] => 180
[7,4,8,2,5,6,3,1] => 1010011 => [1,1,1,2,2] => 255
[7,4,8,5,2,1,3,6] => 1011100 => [1,1,3,2] => 171
[6,4,8,5,1,3,7,2] => 1011001 => [1,1,2,2,1] => 295
[6,3,7,5,2,1,8,4] => 1011101 => [1,1,3,1,1] => 233
[4,3,7,5,1,2,8,6] => 1011001 => [1,1,2,2,1] => 295
[4,3,7,1,5,6,8,2] => 1010001 => [1,1,1,3,1] => 219
[3,6,1,7,5,2,8,4] => 0101101 => [1,1,1,2,1,1] => 359
[3,4,1,2,7,6,8,5] => 0100101 => [1,1,2,1,1,1] => 359
[3,4,2,1,7,5,8,6] => 0110101 => [1,2,1,1,1,1] => 345
[3,6,5,7,1,4,8,2] => 0101001 => [1,1,1,1,2,1] => 345
[6,5,2,7,4,1,8,3] => 1101101 => [2,1,2,1,1] => 252
[3,5,2,6,4,8,7,1] => 0101011 => [1,1,1,1,1,2] => 297
[5,3,1,8,6,4,7,2] => 1101101 => [2,1,2,1,1] => 252
[5,6,1,8,7,2,4,3] => 0101101 => [1,1,1,2,1,1] => 359
[6,3,5,8,2,7,4,1] => 1001011 => [1,2,1,1,2] => 241
[6,5,8,4,2,3,7,1] => 1011001 => [1,1,2,2,1] => 295
[6,2,5,8,3,7,1,4] => 1001010 => [1,2,1,1,1,1] => 345
[1,6,5,7,3,4,2,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,5,2,7,4,6,3,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,2,1,8,7,6,3,4] => 1101110 => [2,1,3,1] => 157
[7,1,3,8,4,6,2,5] => 1001010 => [1,2,1,1,1,1] => 345
[2,3,4,8,6,1,7,5] => 0001101 => [3,2,1,1] => 145
[2,3,4,8,6,5,1,7] => 0001110 => [3,3,1] => 95
[2,7,3,5,8,6,1,4] => 0100110 => [1,1,2,2,1] => 295
[3,2,4,7,8,6,1,5] => 1000110 => [1,3,2,1] => 185
[1,5,4,6,2,7,3,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,2,4,7,1,8,3,6] => 1001010 => [1,2,1,1,1,1] => 345
[5,3,6,4,1,8,7,2] => 1011011 => [1,1,2,1,2] => 252
[5,3,6,1,4,8,2,7] => 1010010 => [1,1,1,2,1,1] => 359
[7,3,5,6,8,4,2,1] => 1000111 => [1,3,3] => 95
[6,3,5,1,8,2,7,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[2,6,1,5,8,4,7,3] => 0100101 => [1,1,2,1,1,1] => 359
[2,7,6,5,8,3,4,1] => 0110101 => [1,2,1,1,1,1] => 345
[5,7,1,6,3,8,4,2] => 0101011 => [1,1,1,1,1,2] => 297
[3,2,4,1,7,8,5,6] => 1010010 => [1,1,1,2,1,1] => 359
[3,1,4,2,7,8,6,5] => 1010011 => [1,1,1,2,2] => 255
[5,1,4,7,2,8,6,3] => 1001011 => [1,2,1,1,2] => 241
[3,6,4,7,8,2,5,1] => 0100101 => [1,1,2,1,1,1] => 359
[3,1,4,6,8,5,7,2] => 1000101 => [1,3,1,1,1] => 219
[6,3,4,5,7,1,8,2] => 1000101 => [1,3,1,1,1] => 219
[2,5,4,6,1,7,8,3] => 0101001 => [1,1,1,1,2,1] => 345
[7,2,1,4,3,6,5,8] => 1101010 => [2,1,1,1,1,1] => 297
[7,3,4,1,2,6,5,8] => 1010010 => [1,1,1,2,1,1] => 359
[7,4,3,2,1,6,5,8] => 1111010 => [4,1,1,1] => 75
[7,6,3,2,5,4,1,8] => 1110110 => [3,1,2,1] => 137
[6,7,3,2,5,4,8,1] => 0110101 => [1,2,1,1,1,1] => 345
[1,8,3,2,5,4,7,6] => 0110101 => [1,2,1,1,1,1] => 345
[1,8,4,5,2,3,7,6] => 0101001 => [1,1,1,1,2,1] => 345
[7,3,5,1,6,2,4,8] => 1010100 => [1,1,1,1,1,2] => 297
[7,2,1,5,6,3,4,8] => 1100100 => [2,2,1,2] => 180
[7,2,1,6,5,4,3,8] => 1101110 => [2,1,3,1] => 157
[7,3,6,1,5,4,2,8] => 1010110 => [1,1,1,1,2,1] => 345
[7,4,6,5,1,3,2,8] => 1011010 => [1,1,2,1,1,1] => 359
[1,8,5,4,3,2,7,6] => 0111101 => [1,4,1,1] => 107
[1,8,6,4,3,7,2,5] => 0111010 => [1,3,1,1,1] => 219
[6,5,7,4,3,1,8,2] => 1011101 => [1,1,3,1,1] => 233
[6,4,7,5,1,3,8,2] => 1011001 => [1,1,2,2,1] => 295
[6,3,7,1,5,4,8,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,2,1,7,5,4,8,3] => 1101101 => [2,1,2,1,1] => 252
[3,2,1,8,5,4,7,6] => 1101101 => [2,1,2,1,1] => 252
[2,3,8,1,5,4,7,6] => 0010101 => [2,1,1,1,1,1] => 297
[2,4,8,5,1,3,7,6] => 0011001 => [2,2,2,1] => 211
[2,5,8,4,3,1,7,6] => 0011101 => [2,3,1,1] => 171
[2,6,8,4,3,7,1,5] => 0011010 => [2,2,1,1,1] => 255
[2,7,8,4,3,6,5,1] => 0011011 => [2,2,1,2] => 180
[1,8,7,4,3,6,5,2] => 0111011 => [1,3,1,2] => 157
[1,8,7,5,6,3,4,2] => 0110101 => [1,2,1,1,1,1] => 345
[2,7,8,5,6,3,4,1] => 0010101 => [2,1,1,1,1,1] => 297
[2,6,8,5,7,3,1,4] => 0010110 => [2,1,1,2,1] => 241
[2,5,8,6,7,1,3,4] => 0010100 => [2,1,1,1,2] => 207
[2,4,8,6,1,7,3,5] => 0011010 => [2,2,1,1,1] => 255
[3,2,1,8,6,7,4,5] => 1101010 => [2,1,1,1,1,1] => 297
[5,2,1,7,6,8,4,3] => 1101011 => [2,1,1,1,2] => 207
[5,3,7,1,6,8,4,2] => 1010011 => [1,1,1,2,2] => 255
[5,4,7,6,1,8,3,2] => 1011011 => [1,1,2,1,2] => 252
[4,5,7,6,8,1,3,2] => 0010101 => [2,1,1,1,1,1] => 297
[4,6,7,5,8,3,1,2] => 0010110 => [2,1,1,2,1] => 241
[1,8,6,5,7,3,2,4] => 0110110 => [1,2,1,2,1] => 281
[1,8,5,6,7,2,3,4] => 0100100 => [1,1,2,1,2] => 252
[4,7,5,6,8,2,3,1] => 0100101 => [1,1,2,1,1,1] => 359
[4,6,5,7,8,2,1,3] => 0100110 => [1,1,2,2,1] => 295
[5,4,6,7,1,8,2,3] => 1001010 => [1,2,1,1,1,1] => 345
[5,3,6,1,7,8,2,4] => 1010010 => [1,1,1,2,1,1] => 359
[5,2,1,6,7,8,3,4] => 1100010 => [2,3,1,1] => 171
[6,2,1,5,7,3,8,4] => 1100101 => [2,2,1,1,1] => 255
[6,3,5,1,7,2,8,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,4,5,7,1,2,8,3] => 1001001 => [1,2,1,2,1] => 281
[6,5,4,7,2,1,8,3] => 1101101 => [2,1,2,1,1] => 252
[5,6,4,7,2,8,1,3] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,8,4,6,2,7,3,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,8,3,2,6,7,4,5] => 0110010 => [1,2,2,1,1] => 295
[5,7,3,2,6,8,4,1] => 0110011 => [1,2,2,2] => 211
[5,6,3,2,7,8,1,4] => 0110010 => [1,2,2,1,1] => 295
[6,5,3,2,7,1,8,4] => 1110101 => [3,1,1,1,1] => 165
[6,4,3,2,1,7,8,5] => 1111001 => [4,2,1] => 65
[6,2,1,4,3,7,8,5] => 1101001 => [2,1,1,2,1] => 241
[5,2,1,4,3,8,7,6] => 1101011 => [2,1,1,1,2] => 207
[5,3,4,1,2,8,7,6] => 1010011 => [1,1,1,2,2] => 255
[4,6,3,2,8,7,1,5] => 0110110 => [1,2,1,2,1] => 281
[4,7,3,2,8,6,5,1] => 0110111 => [1,2,1,3] => 137
[1,8,3,2,7,6,5,4] => 0110111 => [1,2,1,3] => 137
[1,8,4,7,2,6,5,3] => 0101011 => [1,1,1,1,1,2] => 297
[3,7,4,8,2,6,5,1] => 0101011 => [1,1,1,1,1,2] => 297
[3,6,4,8,2,7,1,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,5,4,8,2,1,7,6] => 0101101 => [1,1,1,2,1,1] => 359
[3,4,5,8,1,2,7,6] => 0001001 => [3,1,2,1] => 137
[4,3,5,1,8,2,7,6] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,2,1,5,8,3,7,6] => 1100101 => [2,2,1,1,1] => 255
[4,2,1,6,8,7,3,5] => 1100110 => [2,2,2,1] => 211
[4,3,6,1,8,7,2,5] => 1010110 => [1,1,1,1,2,1] => 345
[3,4,6,8,1,7,2,5] => 0001010 => [3,1,1,1,1] => 165
[3,5,6,8,7,1,2,4] => 0001100 => [3,2,2] => 105
[3,6,5,8,7,2,1,4] => 0101110 => [1,1,1,3,1] => 219
[3,7,5,8,6,2,4,1] => 0101101 => [1,1,1,2,1,1] => 359
[1,8,5,7,6,2,4,3] => 0101101 => [1,1,1,2,1,1] => 359
[1,8,6,7,5,4,2,3] => 0101110 => [1,1,1,3,1] => 219
[3,6,7,8,5,4,1,2] => 0001110 => [3,3,1] => 95
[3,5,7,8,6,1,4,2] => 0001101 => [3,2,1,1] => 145
[3,4,7,8,1,6,5,2] => 0001011 => [3,1,1,2] => 117
[4,2,1,7,8,6,5,3] => 1100111 => [2,2,3] => 105
[2,3,8,1,7,6,5,4] => 0010111 => [2,1,1,3] => 117
[2,4,8,7,1,6,5,3] => 0011011 => [2,2,1,2] => 180
[2,5,8,7,6,1,4,3] => 0011101 => [2,3,1,1] => 171
[2,6,8,7,5,4,1,3] => 0011110 => [2,4,1] => 81
[7,4,6,1,8,3,5,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,3,5,1,7,4,6,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,3,4,1,7,5,6,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,8,3,1,7,5,6,2] => 0110101 => [1,2,1,1,1,1] => 345
[4,6,2,1,7,5,8,3] => 0110101 => [1,2,1,1,1,1] => 345
[1,4,6,2,7,5,8,3] => 0010101 => [2,1,1,1,1,1] => 297
[1,7,5,2,6,8,4,3] => 0110011 => [1,2,2,2] => 211
[7,5,2,1,6,8,4,3] => 1110011 => [3,2,2] => 105
[6,8,4,3,1,7,5,2] => 0111011 => [1,3,1,2] => 157
[3,6,8,4,1,7,5,2] => 0011011 => [2,2,1,2] => 180
[3,6,7,5,1,8,4,2] => 0011011 => [2,2,1,2] => 180
[7,5,6,1,8,3,4,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[3,4,6,5,7,1,8,2] => 0010101 => [2,1,1,1,1,1] => 297
[4,7,5,6,1,8,3,2] => 0101011 => [1,1,1,1,1,2] => 297
[6,7,5,1,8,4,3,2] => 0110111 => [1,2,1,3] => 137
[6,8,4,1,7,5,3,2] => 0110111 => [1,2,1,3] => 137
[6,7,5,3,1,8,4,2] => 0111011 => [1,3,1,2] => 157
[8,4,2,1,6,7,5,3] => 1110011 => [3,2,2] => 105
[1,8,4,2,6,7,5,3] => 0110011 => [1,2,2,2] => 211
[1,5,3,2,7,6,8,4] => 0110101 => [1,2,1,1,1,1] => 345
[5,3,2,1,7,6,8,4] => 1110101 => [3,1,1,1,1] => 165
[2,5,3,1,7,6,8,4] => 0110101 => [1,2,1,1,1,1] => 345
[2,8,4,1,6,7,5,3] => 0110011 => [1,2,2,2] => 211
[2,7,5,1,6,8,4,3] => 0110011 => [1,2,2,2] => 211
[2,4,6,1,7,5,8,3] => 0010101 => [2,1,1,1,1,1] => 297
[4,7,1,6,5,8,2,3] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,8,2,6,5,7,1,3] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,6,1,2,7,5,8,3] => 0100101 => [1,1,2,1,1,1] => 359
[7,5,1,2,6,8,4,3] => 1100011 => [2,3,2] => 126
[8,4,1,2,6,7,5,3] => 1100011 => [2,3,2] => 126
[5,3,1,2,7,6,8,4] => 1100101 => [2,2,1,1,1] => 255
[1,2,5,3,7,6,8,4] => 0010101 => [2,1,1,1,1,1] => 297
[4,3,1,2,7,6,8,5] => 1100101 => [2,2,1,1,1] => 255
[3,5,1,2,7,6,8,4] => 0100101 => [1,1,2,1,1,1] => 359
[6,7,1,5,8,2,3,4] => 0100100 => [1,1,2,1,2] => 252
[2,7,6,1,5,8,3,4] => 0110010 => [1,2,2,1,1] => 295
[2,3,5,1,7,6,8,4] => 0010101 => [2,1,1,1,1,1] => 297
[7,6,1,5,8,3,2,4] => 1100110 => [2,2,2,1] => 211
[3,6,7,1,5,8,2,4] => 0010010 => [2,1,2,1,1] => 252
[7,1,6,5,8,2,4,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,5,1,6,8,4,2,3] => 1100110 => [2,2,2,1] => 211
[8,4,1,6,7,5,2,3] => 1100110 => [2,2,2,1] => 211
[5,2,3,1,7,6,8,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[3,5,2,1,7,6,8,4] => 0110101 => [1,2,1,1,1,1] => 345
[1,3,5,2,7,6,8,4] => 0010101 => [2,1,1,1,1,1] => 297
[1,7,6,2,5,8,3,4] => 0110010 => [1,2,2,1,1] => 295
[7,6,2,1,5,8,3,4] => 1110010 => [3,2,1,1] => 145
[8,3,1,5,7,6,2,4] => 1100110 => [2,2,2,1] => 211
[6,2,4,1,7,5,8,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,2,5,1,7,4,8,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,1,6,4,8,2,5,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,2,6,4,7,1,5,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,1,5,2,7,4,8,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,6,2,5,8,3,1,4] => 1100110 => [2,2,2,1] => 211
[8,3,5,7,6,2,1,4] => 1001110 => [1,2,3,1] => 185
[1,8,3,5,7,6,2,4] => 0100110 => [1,1,2,2,1] => 295
[1,5,2,3,7,6,8,4] => 0100101 => [1,1,2,1,1,1] => 359
[5,2,1,3,7,6,8,4] => 1100101 => [2,2,1,1,1] => 255
[7,5,2,6,8,4,1,3] => 1100110 => [2,2,2,1] => 211
[8,4,2,6,7,5,1,3] => 1100110 => [2,2,2,1] => 211
[6,1,4,2,7,5,8,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,2,6,5,7,1,4,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[3,6,8,2,5,7,1,4] => 0010010 => [2,1,2,1,1] => 252
[8,3,2,5,7,6,1,4] => 1100110 => [2,2,2,1] => 211
[5,1,3,2,7,6,8,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,1,3,2,7,6,8,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,2,1,3,7,6,8,5] => 1100101 => [2,2,1,1,1] => 255
[1,4,2,3,7,6,8,5] => 0100101 => [1,1,2,1,1,1] => 359
[2,4,1,3,7,6,8,5] => 0100101 => [1,1,2,1,1,1] => 359
[2,5,1,3,7,6,8,4] => 0100101 => [1,1,2,1,1,1] => 359
[2,8,3,5,7,6,1,4] => 0100110 => [1,1,2,2,1] => 295
[6,8,2,3,5,7,1,4] => 0100010 => [1,1,3,1,1] => 233
[6,7,1,3,5,8,2,4] => 0100010 => [1,1,3,1,1] => 233
[8,3,5,7,6,1,2,4] => 1001100 => [1,2,2,2] => 211
[5,1,2,3,7,6,8,4] => 1000101 => [1,3,1,1,1] => 219
[3,1,2,4,7,6,8,5] => 1000101 => [1,3,1,1,1] => 219
[10,8,9,5,6,7,1,2,3,4] => 101001000 => [1,1,1,2,1,3] => 1806
[10,8,9,4,5,6,1,2,3,7] => 101001000 => [1,1,1,2,1,3] => 1806
[10,7,8,5,6,9,1,2,3,4] => 101001000 => [1,1,1,2,1,3] => 1806
[10,7,8,4,5,9,1,2,3,6] => 101001000 => [1,1,1,2,1,3] => 1806
[10,6,7,4,5,8,1,2,3,9] => 101001000 => [1,1,1,2,1,3] => 1806
[10,7,8,3,4,9,1,2,5,6] => 101001000 => [1,1,1,2,1,3] => 1806
[10,6,7,3,4,8,1,2,5,9] => 101001000 => [1,1,1,2,1,3] => 1806
[9,8,10,5,6,7,1,2,3,4] => 101001000 => [1,1,1,2,1,3] => 1806
[9,8,10,4,5,6,1,2,3,7] => 101001000 => [1,1,1,2,1,3] => 1806
[9,7,10,5,6,8,1,2,3,4] => 101001000 => [1,1,1,2,1,3] => 1806
[9,7,10,4,5,8,1,2,3,6] => 101001000 => [1,1,1,2,1,3] => 1806
[9,6,10,4,5,7,1,2,3,8] => 101001000 => [1,1,1,2,1,3] => 1806
[9,7,10,3,4,8,1,2,5,6] => 101001000 => [1,1,1,2,1,3] => 1806
[9,6,10,3,4,7,1,2,5,8] => 101001000 => [1,1,1,2,1,3] => 1806
[8,7,9,5,6,10,1,2,3,4] => 101001000 => [1,1,1,2,1,3] => 1806
[8,7,9,4,5,10,1,2,3,6] => 101001000 => [1,1,1,2,1,3] => 1806
[8,6,9,4,5,10,1,2,3,7] => 101001000 => [1,1,1,2,1,3] => 1806
[7,6,8,4,5,9,1,2,3,10] => 101001000 => [1,1,1,2,1,3] => 1806
[8,7,9,3,4,10,1,2,5,6] => 101001000 => [1,1,1,2,1,3] => 1806
[8,6,9,3,4,10,1,2,5,7] => 101001000 => [1,1,1,2,1,3] => 1806
[7,6,8,3,4,9,1,2,5,10] => 101001000 => [1,1,1,2,1,3] => 1806
[9,6,10,5,7,8,1,2,3,4] => 101001000 => [1,1,1,2,1,3] => 1806
[9,6,10,4,7,8,1,2,3,5] => 101001000 => [1,1,1,2,1,3] => 1806
[9,5,10,4,6,7,1,2,3,8] => 101001000 => [1,1,1,2,1,3] => 1806
[9,6,10,3,7,8,1,2,4,5] => 101001000 => [1,1,1,2,1,3] => 1806
[9,5,10,3,6,7,1,2,4,8] => 101001000 => [1,1,1,2,1,3] => 1806
[8,6,9,5,7,10,1,2,3,4] => 101001000 => [1,1,1,2,1,3] => 1806
[8,6,9,4,7,10,1,2,3,5] => 101001000 => [1,1,1,2,1,3] => 1806
[8,5,9,4,6,10,1,2,3,7] => 101001000 => [1,1,1,2,1,3] => 1806
[7,5,8,4,6,9,1,2,3,10] => 101001000 => [1,1,1,2,1,3] => 1806
[8,6,9,3,7,10,1,2,4,5] => 101001000 => [1,1,1,2,1,3] => 1806
[8,5,9,3,6,10,1,2,4,7] => 101001000 => [1,1,1,2,1,3] => 1806
[7,5,8,3,6,9,1,2,4,10] => 101001000 => [1,1,1,2,1,3] => 1806
[8,4,9,3,5,10,1,2,6,7] => 101001000 => [1,1,1,2,1,3] => 1806
[7,4,8,3,5,9,1,2,6,10] => 101001000 => [1,1,1,2,1,3] => 1806
[9,6,10,2,7,8,1,3,4,5] => 101001000 => [1,1,1,2,1,3] => 1806
[9,5,10,2,6,7,1,3,4,8] => 101001000 => [1,1,1,2,1,3] => 1806
[8,6,9,2,7,10,1,3,4,5] => 101001000 => [1,1,1,2,1,3] => 1806
[8,5,9,2,6,10,1,3,4,7] => 101001000 => [1,1,1,2,1,3] => 1806
[7,5,8,2,6,9,1,3,4,10] => 101001000 => [1,1,1,2,1,3] => 1806
[8,4,9,2,5,10,1,3,6,7] => 101001000 => [1,1,1,2,1,3] => 1806
[7,4,8,2,5,9,1,3,6,10] => 101001000 => [1,1,1,2,1,3] => 1806
[8,1,2,4,3,6,5,7] => 1001010 => [1,2,1,1,1,1] => 345
[8,1,3,5,6,2,7,4] => 1000101 => [1,3,1,1,1] => 219
[8,1,3,4,2,6,7,5] => 1001001 => [1,2,1,2,1] => 281
[8,1,3,2,4,5,7,6] => 1010001 => [1,1,1,3,1] => 219
[2,7,8,3,4,5,6,1] => 0010001 => [2,1,3,1] => 157
[2,6,3,8,4,5,7,1] => 0101001 => [1,1,1,1,2,1] => 345
[6,3,2,1,4,5,8,7] => 1110001 => [3,3,1] => 95
[7,3,1,4,2,6,8,5] => 1101001 => [2,1,1,2,1] => 241
[7,4,1,5,6,8,2,3] => 1100010 => [2,3,1,1] => 171
[4,7,8,5,6,1,2,3] => 0010100 => [2,1,1,1,2] => 207
[3,7,8,5,6,2,1,4] => 0010110 => [2,1,1,2,1] => 241
[3,7,8,4,2,6,1,5] => 0011010 => [2,2,1,1,1] => 255
[3,7,8,2,4,5,1,6] => 0010010 => [2,1,2,1,1] => 252
[3,6,2,8,4,5,1,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,3,6,7,4,5,8,1] => 0001001 => [3,1,2,1] => 137
[3,5,2,4,8,6,1,7] => 0100110 => [1,1,2,2,1] => 295
[3,5,4,2,8,7,1,6] => 0110110 => [1,2,1,2,1] => 281
[4,6,5,8,7,1,2,3] => 0101100 => [1,1,1,2,2] => 255
[6,4,5,1,7,8,2,3] => 1010010 => [1,1,1,2,1,1] => 359
[7,4,1,2,3,8,5,6] => 1100010 => [2,3,1,1] => 171
[6,2,4,1,3,7,5,8] => 1010010 => [1,1,1,2,1,1] => 359
[2,6,4,8,3,7,5,1] => 0101011 => [1,1,1,1,1,2] => 297
[2,6,5,8,7,3,4,1] => 0101101 => [1,1,1,2,1,1] => 359
[6,2,5,1,7,3,4,8] => 1010100 => [1,1,1,1,1,2] => 297
[6,5,2,1,8,3,4,7] => 1110100 => [3,1,1,2] => 117
[2,5,6,7,8,3,4,1] => 0000101 => [4,1,1,1] => 75
[2,4,6,7,3,8,5,1] => 0001011 => [3,1,1,2] => 117
[4,2,6,7,3,1,5,8] => 1001100 => [1,2,2,2] => 211
[4,7,8,2,3,1,5,6] => 0010100 => [2,1,1,1,2] => 207
[4,7,8,3,2,1,6,5] => 0011101 => [2,3,1,1] => 171
[5,6,4,8,1,7,2,3] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,6,3,8,1,2,7,4] => 0101001 => [1,1,1,1,2,1] => 345
[4,2,5,3,7,1,6,8] => 1010100 => [1,1,1,1,1,2] => 297
[4,3,6,7,2,1,8,5] => 1001101 => [1,2,2,1,1] => 295
[3,4,6,7,2,8,1,5] => 0001010 => [3,1,1,1,1] => 165
[3,4,5,2,7,8,1,6] => 0010010 => [2,1,2,1,1] => 252
[3,4,2,5,6,8,1,7] => 0100010 => [1,1,3,1,1] => 233
[5,2,7,8,6,4,1,3] => 1001110 => [1,2,3,1] => 185
[5,1,2,7,8,6,4,3] => 1000111 => [1,3,3] => 95
[4,7,1,8,6,5,2,3] => 0101110 => [1,1,1,3,1] => 219
[4,7,1,2,8,6,5,3] => 0100111 => [1,1,2,3] => 145
[4,6,8,1,2,7,5,3] => 0010011 => [2,1,2,2] => 180
[6,8,7,1,5,3,2,4] => 0110110 => [1,2,1,2,1] => 281
[6,8,7,3,5,1,2,4] => 0110100 => [1,2,1,1,2] => 241
[7,8,1,6,3,5,2,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[7,8,1,3,6,5,2,4] => 0100110 => [1,1,2,2,1] => 295
[7,8,3,6,5,2,1,4] => 0101110 => [1,1,1,3,1] => 219
[4,7,2,8,6,1,5,3] => 0101101 => [1,1,1,2,1,1] => 359
[1,7,3,4,8,6,5,2] => 0100111 => [1,1,2,3] => 145
[4,2,7,1,8,6,5,3] => 1010111 => [1,1,1,1,3] => 165
[7,8,2,3,6,5,1,4] => 0100110 => [1,1,2,2,1] => 295
[8,5,7,1,6,2,3,4] => 1010100 => [1,1,1,1,1,2] => 297
[8,5,7,1,2,6,3,4] => 1010010 => [1,1,1,2,1,1] => 359
[6,8,2,7,1,3,5,4] => 0101001 => [1,1,1,1,2,1] => 345
[6,8,7,2,5,3,1,4] => 0110110 => [1,2,1,2,1] => 281
[6,2,4,8,7,1,5,3] => 1001101 => [1,2,2,1,1] => 295
[1,6,8,3,7,4,5,2] => 0010101 => [2,1,1,1,1,1] => 297
[1,6,8,3,4,7,5,2] => 0010011 => [2,1,2,2] => 180
[6,2,4,8,1,7,5,3] => 1001011 => [1,2,1,1,2] => 241
[6,8,7,2,3,5,1,4] => 0110010 => [1,2,2,1,1] => 295
[6,8,2,1,7,3,5,4] => 0110101 => [1,2,1,1,1,1] => 345
[8,5,7,2,1,6,3,4] => 1011010 => [1,1,2,1,1,1] => 359
[8,5,7,1,2,3,6,4] => 1010001 => [1,1,1,3,1] => 219
[8,7,6,2,1,4,3,5] => 1111010 => [4,1,1,1] => 75
[8,5,7,2,3,1,6,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,8,4,2,7,1,6,3] => 0110101 => [1,2,1,1,1,1] => 345
[1,8,7,5,3,4,6,2] => 0111001 => [1,3,2,1] => 185
[1,8,7,3,5,4,6,2] => 0110101 => [1,2,1,1,1,1] => 345
[8,2,5,4,7,1,6,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,5,2,7,3,1,6,4] => 1101101 => [2,1,2,1,1] => 252
[8,7,6,2,4,3,1,5] => 1110110 => [3,1,2,1] => 137
[8,7,6,1,2,4,3,5] => 1110010 => [3,2,1,1] => 145
[8,7,6,1,4,2,3,5] => 1110100 => [3,1,1,2] => 117
[8,7,6,4,1,3,2,5] => 1111010 => [4,1,1,1] => 75
[5,8,4,7,2,1,6,3] => 0101101 => [1,1,1,2,1,1] => 359
[1,8,7,5,4,3,6,2] => 0111101 => [1,4,1,1] => 107
[1,6,8,4,3,7,5,2] => 0011011 => [2,2,1,2] => 180
[6,8,7,3,2,5,1,4] => 0111010 => [1,3,1,1,1] => 219
[6,8,1,7,3,2,5,4] => 0101101 => [1,1,1,2,1,1] => 359
[8,5,7,3,1,6,2,4] => 1011010 => [1,1,2,1,1,1] => 359
[8,5,7,1,3,2,6,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,5,7,3,1,2,6,4] => 1011001 => [1,1,2,2,1] => 295
[5,8,4,7,1,2,6,3] => 0101001 => [1,1,1,1,2,1] => 345
[5,8,4,1,7,2,6,3] => 0110101 => [1,2,1,1,1,1] => 345
[5,8,4,7,1,6,2,3] => 0101010 => [1,1,1,1,1,1,1] => 429
[8,1,2,6,5,7,4,3] => 1001011 => [1,2,1,1,2] => 241
[8,2,5,6,7,4,1,3] => 1000110 => [1,3,2,1] => 185
[4,8,5,7,1,6,2,3] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,8,5,7,1,2,6,3] => 0101001 => [1,1,1,1,2,1] => 345
[4,8,5,1,7,2,6,3] => 0110101 => [1,2,1,1,1,1] => 345
[8,5,3,1,7,2,6,4] => 1110101 => [3,1,1,1,1] => 165
[8,5,3,7,1,2,6,4] => 1101001 => [2,1,1,2,1] => 241
[6,8,1,3,7,2,5,4] => 0100101 => [1,1,2,1,1,1] => 359
[4,6,2,8,1,7,5,3] => 0101011 => [1,1,1,1,1,2] => 297
[1,6,4,8,3,7,5,2] => 0101011 => [1,1,1,1,1,2] => 297
[1,8,7,4,5,3,6,2] => 0110101 => [1,2,1,1,1,1] => 345
[4,8,5,7,2,1,6,3] => 0101101 => [1,1,1,2,1,1] => 359
[8,5,3,7,2,1,6,4] => 1101101 => [2,1,2,1,1] => 252
[8,7,6,3,1,4,2,5] => 1111010 => [4,1,1,1] => 75
[8,7,6,1,3,2,4,5] => 1110100 => [3,1,1,2] => 117
[8,5,3,2,7,1,6,4] => 1110101 => [3,1,1,1,1] => 165
[4,8,5,2,7,1,6,3] => 0110101 => [1,2,1,1,1,1] => 345
[1,8,7,4,3,5,6,2] => 0111001 => [1,3,2,1] => 185
[1,8,7,3,4,5,6,2] => 0110001 => [1,2,3,1] => 185
[8,2,4,5,7,1,6,3] => 1000101 => [1,3,1,1,1] => 219
[8,5,2,3,7,1,6,4] => 1100101 => [2,2,1,1,1] => 255
[6,3,1,5,4,2,8,7] => 1101101 => [2,1,2,1,1] => 252
[8,3,1,5,2,7,6,4] => 1101011 => [2,1,1,1,2] => 207
[8,5,4,2,1,7,3,6] => 1111010 => [4,1,1,1] => 75
[8,5,4,2,1,7,6,3] => 1111011 => [4,1,2] => 55
[6,5,4,2,1,3,8,7] => 1111001 => [4,2,1] => 65
[6,5,4,2,3,1,8,7] => 1110101 => [3,1,1,1,1] => 165
[6,3,2,5,1,4,8,7] => 1101001 => [2,1,1,2,1] => 241
[6,5,4,3,1,2,8,7] => 1111001 => [4,2,1] => 65
[6,5,4,1,3,2,8,7] => 1110101 => [3,1,1,1,1] => 165
[8,5,4,1,2,7,6,3] => 1110011 => [3,2,2] => 105
[8,7,4,1,6,3,2,5] => 1110110 => [3,1,2,1] => 137
[8,7,4,1,6,3,5,2] => 1110101 => [3,1,1,1,1] => 165
[8,7,4,1,6,5,3,2] => 1110111 => [3,1,3] => 69
[8,5,4,1,3,7,6,2] => 1110011 => [3,2,2] => 105
[8,5,4,3,1,7,6,2] => 1111011 => [4,1,2] => 55
[8,3,2,5,1,7,6,4] => 1101011 => [2,1,1,1,2] => 207
[2,1,8,5,3,7,6,4] => 1011011 => [1,1,2,1,2] => 252
[8,3,2,5,1,7,4,6] => 1101010 => [2,1,1,1,1,1] => 297
[8,5,4,3,1,7,2,6] => 1111010 => [4,1,1,1] => 75
[8,5,4,1,3,7,2,6] => 1110010 => [3,2,1,1] => 145
[8,7,4,1,6,5,2,3] => 1110110 => [3,1,2,1] => 137
[8,7,4,1,6,2,5,3] => 1110101 => [3,1,1,1,1] => 165
[8,7,6,5,2,1,4,3] => 1111101 => [5,1,1] => 27
[8,7,4,3,6,2,1,5] => 1110110 => [3,1,2,1] => 137
[8,3,2,7,6,4,1,5] => 1101110 => [2,1,3,1] => 157
[2,1,8,7,6,4,3,5] => 1011110 => [1,1,4,1] => 107
[2,1,8,7,6,4,5,3] => 1011101 => [1,1,3,1,1] => 233
[8,3,2,7,6,4,5,1] => 1101101 => [2,1,2,1,1] => 252
[8,7,4,3,6,2,5,1] => 1110101 => [3,1,1,1,1] => 165
[8,7,6,5,2,4,3,1] => 1111011 => [4,1,2] => 55
[8,5,4,2,3,7,6,1] => 1110011 => [3,2,2] => 105
[8,7,4,2,6,5,3,1] => 1110111 => [3,1,3] => 69
[8,7,4,2,6,3,5,1] => 1110101 => [3,1,1,1,1] => 165
[8,7,4,2,6,3,1,5] => 1110110 => [3,1,2,1] => 137
[8,3,1,7,6,4,2,5] => 1101110 => [2,1,3,1] => 157
[8,3,1,7,6,4,5,2] => 1101101 => [2,1,2,1,1] => 252
[8,3,1,7,6,5,4,2] => 1101111 => [2,1,4] => 55
[8,3,1,5,4,7,6,2] => 1101011 => [2,1,1,1,2] => 207
[8,3,1,5,4,7,2,6] => 1101010 => [2,1,1,1,1,1] => 297
[8,3,1,7,6,5,2,4] => 1101110 => [2,1,3,1] => 157
[8,3,1,7,6,2,5,4] => 1101101 => [2,1,2,1,1] => 252
[8,7,4,2,6,1,5,3] => 1110101 => [3,1,1,1,1] => 165
[8,7,4,2,6,5,1,3] => 1110110 => [3,1,2,1] => 137
[8,5,4,2,3,7,1,6] => 1110010 => [3,2,1,1] => 145
[8,3,2,5,4,7,1,6] => 1101010 => [2,1,1,1,1,1] => 297
[2,1,8,5,4,7,3,6] => 1011010 => [1,1,2,1,1,1] => 359
[8,3,2,7,6,5,1,4] => 1101110 => [2,1,3,1] => 157
[8,7,4,3,6,5,1,2] => 1110110 => [3,1,2,1] => 137
[8,7,6,5,3,1,4,2] => 1111101 => [5,1,1] => 27
[8,7,6,5,1,3,2,4] => 1111010 => [4,1,1,1] => 75
[8,7,6,5,1,3,4,2] => 1111001 => [4,2,1] => 65
[8,7,6,5,1,4,3,2] => 1111011 => [4,1,2] => 55
[8,7,6,5,4,1,3,2] => 1111101 => [5,1,1] => 27
[8,7,4,3,6,1,5,2] => 1110101 => [3,1,1,1,1] => 165
[8,3,2,7,6,1,5,4] => 1101101 => [2,1,2,1,1] => 252
[2,1,8,7,6,3,5,4] => 1011101 => [1,1,3,1,1] => 233
[8,3,2,7,6,1,4,5] => 1101100 => [2,1,2,2] => 180
[8,7,6,5,1,4,2,3] => 1111010 => [4,1,1,1] => 75
[8,7,6,5,1,2,4,3] => 1111001 => [4,2,1] => 65
[7,3,5,1,8,4,6,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,3,4,1,8,5,6,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,5,6,2,1,8,7,3] => 0011011 => [2,2,1,2] => 180
[1,6,5,2,7,4,3,8] => 0110110 => [1,2,1,2,1] => 281
[7,4,3,1,8,6,5,2] => 1110111 => [3,1,3] => 69
[7,6,5,1,8,4,3,2] => 1110111 => [3,1,3] => 69
[7,6,4,1,8,5,3,2] => 1110111 => [3,1,3] => 69
[6,4,2,1,8,7,5,3] => 1110111 => [3,1,3] => 69
[1,6,4,2,7,5,3,8] => 0110110 => [1,2,1,2,1] => 281
[1,5,3,2,7,6,4,8] => 0110110 => [1,2,1,2,1] => 281
[5,3,2,1,8,7,6,4] => 1110111 => [3,1,3] => 69
[2,5,3,1,7,8,6,4] => 0110011 => [1,2,2,2] => 211
[2,6,4,1,7,8,5,3] => 0110011 => [1,2,2,2] => 211
[2,6,5,1,7,8,4,3] => 0110011 => [1,2,2,2] => 211
[4,5,7,1,6,8,2,3] => 0010010 => [2,1,2,1,1] => 252
[6,5,1,2,8,4,3,7] => 1100110 => [2,2,2,1] => 211
[6,4,1,2,8,5,3,7] => 1100110 => [2,2,2,1] => 211
[5,3,1,2,8,6,4,7] => 1100110 => [2,2,2,1] => 211
[4,3,1,2,8,6,5,7] => 1100110 => [2,2,2,1] => 211
[6,1,2,5,8,3,4,7] => 1000100 => [1,3,1,2] => 157
[7,1,3,4,8,2,5,6] => 1000100 => [1,3,1,2] => 157
[7,1,5,6,8,2,3,4] => 1000100 => [1,3,1,2] => 157
[2,6,1,5,7,8,3,4] => 0100010 => [1,1,3,1,1] => 233
[7,4,1,6,8,5,2,3] => 1100110 => [2,2,2,1] => 211
[5,2,3,1,8,6,7,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[3,5,2,1,6,8,7,4] => 0110011 => [1,2,2,2] => 211
[1,6,2,5,7,3,4,8] => 0100100 => [1,1,2,1,2] => 252
[6,2,1,5,8,7,3,4] => 1100110 => [2,2,2,1] => 211
[7,3,1,5,8,6,2,4] => 1100110 => [2,2,2,1] => 211
[6,2,4,1,8,5,7,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,2,5,1,8,4,7,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,3,1,4,8,6,2,5] => 1100110 => [2,2,2,1] => 211
[6,2,1,4,8,7,3,5] => 1100110 => [2,2,2,1] => 211
[1,6,2,4,7,3,5,8] => 0100100 => [1,1,2,1,2] => 252
[5,2,1,3,8,7,4,6] => 1100110 => [2,2,2,1] => 211
[7,4,1,3,8,5,2,6] => 1100110 => [2,2,2,1] => 211
[7,5,1,3,8,4,2,6] => 1100110 => [2,2,2,1] => 211
[3,6,7,1,4,8,2,5] => 0010010 => [2,1,2,1,1] => 252
[7,6,1,4,8,3,2,5] => 1100110 => [2,2,2,1] => 211
[4,2,1,3,8,7,5,6] => 1100110 => [2,2,2,1] => 211
[2,6,1,4,7,8,3,5] => 0100010 => [1,1,3,1,1] => 233
[7,1,4,6,8,2,3,5] => 1000100 => [1,3,1,2] => 157
[7,1,3,5,8,2,4,6] => 1000100 => [1,3,1,2] => 157
[6,1,2,4,8,3,5,7] => 1000100 => [1,3,1,2] => 157
[5,2,3,1,6,4,8,7] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,4,5,2,3,1,8,6] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,6,7,3,5,2,4,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,3,5,2,4,1,8,6] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,3,5,2,4,1,8,7] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,2,4,1,6,3,8,7] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,1,6,3,5,2,8,7] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,3,4,1,5,2,8,7] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,2,6,3,4,1,8,7] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,2,7,3,4,1,8,6] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,2,8,6,7,3,4,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,2,8,5,7,3,4,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,2,7,3,4,1,8,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,3,4,1,5,2,8,6] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,1,7,3,5,2,8,6] => 1010101 => [1,1,1,1,1,1,1] => 429
[3,1,7,4,5,2,8,6] => 1010101 => [1,1,1,1,1,1,1] => 429
[2,1,7,4,5,3,8,6] => 1010101 => [1,1,1,1,1,1,1] => 429
[3,1,8,6,7,4,5,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,1,8,6,7,3,5,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,6,7,3,4,1,5,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,5,7,3,4,1,6,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,5,6,2,7,3,4,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,4,7,3,5,1,6,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,1,8,4,7,3,6,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,1,8,5,7,3,6,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[3,1,8,5,7,4,6,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[2,1,8,5,7,4,6,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[2,1,7,4,6,3,8,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[3,1,7,4,6,2,8,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,1,7,3,6,2,8,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,1,7,3,6,2,8,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,2,7,3,5,1,8,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,2,8,4,7,3,5,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,4,7,3,6,2,5,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,3,6,2,5,1,8,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,2,5,1,7,3,8,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,2,4,1,7,3,8,6] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,2,4,1,7,3,8,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,5,7,3,6,2,4,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,5,7,4,6,2,3,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,4,6,2,3,1,8,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,2,3,1,7,4,8,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,2,3,1,7,4,8,6] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,2,3,1,7,5,8,6] => 1010101 => [1,1,1,1,1,1,1] => 429
[3,1,4,2,8,6,7,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,2,3,1,8,5,7,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,5,6,2,3,1,7,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,4,8,5,6,2,3,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,3,8,5,6,2,4,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,5,6,2,4,1,7,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,2,4,1,8,6,7,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,1,5,2,8,6,7,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[3,1,5,2,8,6,7,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[2,1,6,3,8,5,7,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[3,1,6,2,8,5,7,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,1,6,2,8,5,7,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,1,6,2,8,4,7,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,4,6,2,5,1,7,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,3,8,4,6,2,5,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,2,7,3,8,4,5,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,4,5,1,6,2,7,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,1,8,4,6,2,7,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,1,8,5,6,2,7,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[3,1,8,5,6,2,7,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[2,1,8,5,6,3,7,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[2,1,7,4,8,5,6,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[3,1,7,4,8,5,6,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,1,7,3,8,5,6,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,3,8,4,5,1,6,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,4,5,1,7,3,6,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,3,6,2,8,4,5,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,8,5,6,1,3,4,2] => 0101001 => [1,1,1,1,2,1] => 345
[7,8,1,3,6,2,5,4] => 0100101 => [1,1,2,1,1,1] => 359
[1,3,8,4,7,2,5,6] => 0010100 => [2,1,1,1,2] => 207
[3,6,1,4,7,2,5,8] => 0100100 => [1,1,2,1,2] => 252
[4,6,1,2,5,7,3,8] => 0100010 => [1,1,3,1,1] => 233
[1,4,8,2,5,7,3,6] => 0010010 => [2,1,2,1,1] => 252
[7,8,2,4,5,6,1,3] => 0100010 => [1,1,3,1,1] => 233
[7,8,1,5,4,6,3,2] => 0101011 => [1,1,1,1,1,2] => 297
[7,8,2,1,6,3,4,5] => 0110100 => [1,2,1,1,2] => 241
[7,8,3,5,6,4,1,2] => 0100110 => [1,1,2,2,1] => 295
[7,8,1,4,2,3,6,5] => 0101001 => [1,1,1,1,2,1] => 345
[7,8,5,1,4,2,6,3] => 0110101 => [1,2,1,1,1,1] => 345
[7,8,4,5,3,1,6,2] => 0101101 => [1,1,1,2,1,1] => 359
[1,5,8,4,3,2,7,6] => 0011101 => [2,3,1,1] => 171
[5,6,1,4,3,2,7,8] => 0101100 => [1,1,1,2,2] => 255
[2,6,4,8,3,7,1,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,4,6,8,3,7,5,2] => 0001011 => [3,1,1,2] => 117
[2,4,8,5,3,1,6,7] => 0011100 => [2,3,2] => 126
[2,5,8,1,4,7,6,3] => 0010011 => [2,1,2,2] => 180
[3,5,8,4,7,6,1,2] => 0010110 => [2,1,1,2,1] => 241
[1,6,2,4,7,3,8,5] => 0100101 => [1,1,2,1,1,1] => 359
[5,6,2,1,4,7,8,3] => 0110001 => [1,2,3,1] => 185
[4,6,2,5,3,1,8,7] => 0101101 => [1,1,1,2,1,1] => 359
[4,7,5,1,3,6,8,2] => 0110001 => [1,2,3,1] => 185
[7,5,3,6,2,4,1,8] => 1101010 => [2,1,1,1,1,1] => 297
[5,7,3,6,1,4,8,2] => 0101001 => [1,1,1,1,2,1] => 345
[5,3,6,7,2,1,8,4] => 1001101 => [1,2,2,1,1] => 295
[6,1,7,5,2,4,8,3] => 1011001 => [1,1,2,2,1] => 295
[6,3,1,2,4,5,8,7] => 1100001 => [2,4,1] => 81
[1,4,7,2,5,3,8,6] => 0010101 => [2,1,1,1,1,1] => 297
[4,6,7,8,3,5,1,2] => 0001010 => [3,1,1,1,1] => 165
[3,6,1,8,4,2,5,7] => 0101100 => [1,1,1,2,2] => 255
[1,6,7,5,8,2,4,3] => 0010101 => [2,1,1,1,1,1] => 297
[3,5,6,7,8,1,4,2] => 0000101 => [4,1,1,1] => 75
[3,6,5,7,8,2,1,4] => 0100110 => [1,1,2,2,1] => 295
[5,2,7,6,1,4,3,8] => 1011010 => [1,1,2,1,1,1] => 359
[2,5,7,6,8,1,3,4] => 0010100 => [2,1,1,1,2] => 207
[2,7,5,6,8,4,1,3] => 0100110 => [1,1,2,2,1] => 295
[2,1,6,8,4,5,3,7] => 1001010 => [1,2,1,1,1,1] => 345
[2,7,1,8,5,3,4,6] => 0101100 => [1,1,1,2,2] => 255
[3,7,6,8,5,4,1,2] => 0101110 => [1,1,1,3,1] => 219
[4,3,8,5,6,7,1,2] => 1010010 => [1,1,1,2,1,1] => 359
[4,2,8,1,6,3,7,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[3,1,8,5,4,6,7,2] => 1011001 => [1,1,2,2,1] => 295
[3,2,8,4,5,6,1,7] => 1010010 => [1,1,1,2,1,1] => 359
[3,4,2,8,6,1,7,5] => 0101101 => [1,1,1,2,1,1] => 359
[3,4,7,1,5,2,6,8] => 0010100 => [2,1,1,1,2] => 207
[4,3,7,8,1,2,6,5] => 1001001 => [1,2,1,2,1] => 281
[1,7,3,8,5,2,6,4] => 0101101 => [1,1,1,2,1,1] => 359
[4,1,8,3,6,2,5,7] => 1010100 => [1,1,1,1,1,2] => 297
[5,7,8,6,3,2,1,4] => 0011110 => [2,4,1] => 81
[5,7,8,6,1,3,4,2] => 0011001 => [2,2,2,1] => 211
[7,6,5,8,1,3,4,2] => 1101001 => [2,1,1,2,1] => 241
[1,6,4,3,8,2,5,7] => 0110100 => [1,2,1,1,2] => 241
[7,1,3,4,8,2,6,5] => 1000101 => [1,3,1,1,1] => 219
[3,6,5,4,1,2,7,8] => 0111000 => [1,3,3] => 95
[2,4,5,1,7,8,6,3] => 0010011 => [2,1,2,2] => 180
[2,6,3,4,5,8,1,7] => 0100010 => [1,1,3,1,1] => 233
[2,6,4,1,8,3,7,5] => 0110101 => [1,2,1,1,1,1] => 345
[7,3,6,4,8,5,1,2] => 1010110 => [1,1,1,1,2,1] => 345
[7,2,1,4,8,3,5,6] => 1100100 => [2,2,1,2] => 180
[7,1,6,5,3,8,4,2] => 1011011 => [1,1,2,1,2] => 252
[7,2,5,6,3,8,1,4] => 1001010 => [1,2,1,1,1,1] => 345
[6,5,2,7,1,8,4,3] => 1101011 => [2,1,1,1,2] => 207
[5,6,2,7,3,1,4,8] => 0101100 => [1,1,1,2,2] => 255
[5,6,7,4,2,8,1,3] => 0011010 => [2,2,1,1,1] => 255
[5,7,6,4,1,8,3,2] => 0111011 => [1,3,1,2] => 157
[6,7,1,5,2,8,3,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,7,5,2,4,8,3,6] => 0110010 => [1,2,2,1,1] => 295
[6,1,5,2,8,3,4,7] => 1010100 => [1,1,1,1,1,2] => 297
[6,7,5,3,8,4,1,2] => 0110110 => [1,2,1,2,1] => 281
[1,6,5,4,2,3,8,7] => 0111001 => [1,3,2,1] => 185
[7,1,5,3,4,2,8,6] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,6,1,5,3,2,8,4] => 1101101 => [2,1,2,1,1] => 252
[7,5,6,4,1,2,8,3] => 1011001 => [1,1,2,2,1] => 295
[6,7,5,4,3,1,8,2] => 0111101 => [1,4,1,1] => 107
[7,5,2,4,3,1,6,8] => 1101100 => [2,1,2,2] => 180
[7,4,6,1,2,5,3,8] => 1010010 => [1,1,1,2,1,1] => 359
[7,1,4,2,5,3,6,8] => 1010100 => [1,1,1,1,1,2] => 297
[6,8,1,4,2,5,7,3] => 0101001 => [1,1,1,1,2,1] => 345
[1,6,4,2,5,7,3,8] => 0110010 => [1,2,2,1,1] => 295
[1,6,3,7,5,4,2,8] => 0101110 => [1,1,1,3,1] => 219
[6,8,1,3,7,5,4,2] => 0100111 => [1,1,2,3] => 145
[7,1,3,5,6,4,2,8] => 1000110 => [1,3,2,1] => 185
[7,3,1,6,4,5,2,8] => 1101010 => [2,1,1,1,1,1] => 297
[7,4,2,6,5,1,3,8] => 1101100 => [2,1,2,2] => 180
[7,4,6,3,1,5,2,8] => 1011010 => [1,1,2,1,1,1] => 359
[7,2,4,1,5,3,6,8] => 1010100 => [1,1,1,1,1,2] => 297
[7,2,3,5,4,1,6,8] => 1001100 => [1,2,2,2] => 211
[6,8,1,2,3,4,7,5] => 0100001 => [1,1,4,1] => 107
[1,5,7,2,3,8,6,4] => 0010011 => [2,1,2,2] => 180
[5,1,8,2,3,6,7,4] => 1010001 => [1,1,1,3,1] => 219
[5,8,2,3,7,6,4,1] => 0100111 => [1,1,2,3] => 145
[6,2,8,1,3,7,4,5] => 1010010 => [1,1,1,2,1,1] => 359
[6,8,2,3,5,4,7,1] => 0100101 => [1,1,2,1,1,1] => 359
[6,8,2,4,1,5,7,3] => 0101001 => [1,1,1,1,2,1] => 345
[6,8,3,1,2,4,7,5] => 0110001 => [1,2,3,1] => 185
[2,6,4,1,5,7,3,8] => 0110010 => [1,2,2,1,1] => 295
[2,6,3,5,7,1,4,8] => 0100100 => [1,1,2,1,2] => 252
[2,5,1,7,8,3,6,4] => 0100101 => [1,1,2,1,1,1] => 359
[2,5,3,6,8,4,7,1] => 0100101 => [1,1,2,1,1,1] => 359
[2,1,4,7,8,5,6,3] => 1000101 => [1,3,1,1,1] => 219
[2,4,7,6,8,5,1,3] => 0010110 => [2,1,1,2,1] => 241
[2,5,3,7,6,1,8,4] => 0101101 => [1,1,1,2,1,1] => 359
[2,5,7,8,1,4,6,3] => 0001001 => [3,1,2,1] => 137
[3,5,7,4,1,6,2,8] => 0011010 => [2,2,1,1,1] => 255
[5,3,4,1,8,6,7,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,2,8,4,6,1,7,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,2,1,8,6,3,7,4] => 1101101 => [2,1,2,1,1] => 252
[4,2,8,6,5,3,7,1] => 1011101 => [1,1,3,1,1] => 233
[4,2,8,5,7,6,3,1] => 1010111 => [1,1,1,1,3] => 165
[1,4,2,7,5,8,6,3] => 0101011 => [1,1,1,1,1,2] => 297
[4,1,8,6,7,5,3,2] => 1010111 => [1,1,1,1,3] => 165
[5,3,8,7,6,2,4,1] => 1011101 => [1,1,3,1,1] => 233
[5,8,4,7,6,2,1,3] => 0101110 => [1,1,1,3,1] => 219
[5,8,7,4,3,6,1,2] => 0111010 => [1,3,1,1,1] => 219
[6,4,8,3,1,7,2,5] => 1011010 => [1,1,2,1,1,1] => 359
[6,4,2,8,7,1,3,5] => 1101100 => [2,1,2,2] => 180
[6,3,8,7,2,5,1,4] => 1011010 => [1,1,2,1,1,1] => 359
[5,8,3,7,1,6,4,2] => 0101011 => [1,1,1,1,1,2] => 297
[5,1,3,8,6,7,2,4] => 1001010 => [1,2,1,1,1,1] => 345
[1,5,3,7,8,6,2,4] => 0100110 => [1,1,2,2,1] => 295
[1,5,7,6,4,2,8,3] => 0011101 => [2,3,1,1] => 171
[5,8,7,4,1,6,2,3] => 0111010 => [1,3,1,1,1] => 219
[6,4,8,1,2,7,3,5] => 1010010 => [1,1,1,2,1,1] => 359
[6,8,5,1,2,3,7,4] => 0110001 => [1,2,3,1] => 185
[6,8,5,2,4,3,7,1] => 0110101 => [1,2,1,1,1,1] => 345
[6,8,5,3,1,2,7,4] => 0111001 => [1,3,2,1] => 185
[4,5,1,2,7,6,3,8] => 0100110 => [1,1,2,2,1] => 295
[4,5,1,2,6,8,7,3] => 0100011 => [1,1,3,2] => 171
[3,5,6,1,8,4,7,2] => 0010101 => [2,1,1,1,1,1] => 297
[3,5,7,1,2,8,6,4] => 0010011 => [2,1,2,2] => 180
[3,6,2,7,5,1,4,8] => 0101100 => [1,1,1,2,2] => 255
[4,2,6,1,7,3,5,8] => 1010100 => [1,1,1,1,1,2] => 297
[4,6,3,1,2,7,5,8] => 0110010 => [1,2,2,1,1] => 295
[4,5,3,1,7,6,2,8] => 0110110 => [1,2,1,2,1] => 281
[4,2,5,7,1,6,3,8] => 1001010 => [1,2,1,1,1,1] => 345
[3,5,2,7,8,1,6,4] => 0100101 => [1,1,2,1,1,1] => 359
[3,1,4,7,5,6,2,8] => 1001010 => [1,2,1,1,1,1] => 345
[3,4,6,5,8,7,1,2] => 0010110 => [2,1,1,2,1] => 241
[3,1,4,5,8,6,7,2] => 1000101 => [1,3,1,1,1] => 219
[3,4,6,8,5,2,7,1] => 0001101 => [3,2,1,1] => 145
[3,5,6,2,8,4,7,1] => 0010101 => [2,1,1,1,1,1] => 297
[4,2,5,6,1,8,7,3] => 1001011 => [1,2,1,1,2] => 241
[4,5,3,1,6,8,7,2] => 0110011 => [1,2,2,2] => 211
[2,1,7,5,8,6,4,3] => 1010111 => [1,1,1,1,3] => 165
[1,2,7,5,3,8,6,4] => 0011011 => [2,2,1,2] => 180
[4,1,2,7,3,8,6,5] => 1001011 => [1,2,1,1,2] => 241
[6,4,1,7,5,2,3,8] => 1101100 => [2,1,2,2] => 180
[6,1,3,7,5,2,4,8] => 1001100 => [1,2,2,2] => 211
[3,1,2,6,8,5,4,7] => 1000110 => [1,3,2,1] => 185
[3,7,1,2,5,4,8,6] => 0100101 => [1,1,2,1,1,1] => 359
[1,3,7,2,4,8,6,5] => 0010011 => [2,1,2,2] => 180
[2,4,1,7,8,6,5,3] => 0100111 => [1,1,2,3] => 145
[3,4,7,5,1,8,6,2] => 0011011 => [2,2,1,2] => 180
[2,7,4,1,5,8,6,3] => 0110011 => [1,2,2,2] => 211
[2,3,7,1,5,8,6,4] => 0010011 => [2,1,2,2] => 180
[5,2,8,1,3,7,4,6] => 1010010 => [1,1,1,2,1,1] => 359
[2,1,6,8,3,4,7,5] => 1001001 => [1,2,1,2,1] => 281
[2,6,8,3,1,5,7,4] => 0011001 => [2,2,2,1] => 211
[2,8,6,4,1,5,7,3] => 0111001 => [1,3,2,1] => 185
[3,6,4,8,5,1,7,2] => 0101101 => [1,1,1,2,1,1] => 359
[6,3,7,4,5,1,8,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[2,6,3,7,5,8,1,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,2,1,7,8,3,4,6] => 1100100 => [2,2,1,2] => 180
[4,7,2,3,6,8,1,5] => 0100010 => [1,1,3,1,1] => 233
[5,2,7,3,6,8,1,4] => 1010010 => [1,1,1,2,1,1] => 359
[5,7,4,6,2,8,1,3] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,7,3,4,6,1,8,2] => 0100101 => [1,1,2,1,1,1] => 359
[5,3,8,4,6,1,7,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,5,2,4,1,6,7,3] => 1101001 => [2,1,1,2,1] => 241
[8,2,3,5,1,6,7,4] => 1001001 => [1,2,1,2,1] => 281
[4,2,8,3,6,7,1,5] => 1010010 => [1,1,1,2,1,1] => 359
[2,4,8,1,7,3,5,6] => 0010100 => [2,1,1,1,2] => 207
[8,4,1,3,6,2,5,7] => 1100100 => [2,2,1,2] => 180
[4,8,3,1,7,2,5,6] => 0110100 => [1,2,1,1,2] => 241
[5,2,8,4,7,1,6,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,8,4,7,3,1,6,2] => 0101101 => [1,1,1,2,1,1] => 359
[4,6,8,3,1,7,5,2] => 0011011 => [2,2,1,2] => 180
[6,3,8,2,7,1,5,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,3,1,8,2,4,7,5] => 1101001 => [2,1,1,2,1] => 241
[5,3,8,1,2,6,4,7] => 1010010 => [1,1,1,2,1,1] => 359
[5,7,4,1,6,2,3,8] => 0110100 => [1,2,1,1,2] => 241
[8,5,4,1,2,6,3,7] => 1110010 => [3,2,1,1] => 145
[5,1,8,4,2,7,3,6] => 1011010 => [1,1,2,1,1,1] => 359
[1,6,2,8,5,3,7,4] => 0101101 => [1,1,1,2,1,1] => 359
[6,8,5,3,1,7,4,2] => 0111011 => [1,3,1,2] => 157
[8,4,5,1,2,6,3,7] => 1010010 => [1,1,1,2,1,1] => 359
[5,6,3,7,1,2,4,8] => 0101000 => [1,1,1,1,3] => 165
[1,6,3,7,2,8,4,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[6,3,2,7,8,5,1,4] => 1100110 => [2,2,2,1] => 211
[4,5,7,8,3,1,6,2] => 0001101 => [3,2,1,1] => 145
[4,7,2,5,8,1,6,3] => 0100101 => [1,1,2,1,1,1] => 359
[8,1,3,4,6,2,5,7] => 1000100 => [1,3,1,2] => 157
[3,8,2,4,6,7,1,5] => 0100010 => [1,1,3,1,1] => 233
[3,5,6,8,2,7,1,4] => 0001010 => [3,1,1,1,1] => 165
[2,4,5,6,8,1,7,3] => 0000101 => [4,1,1,1] => 75
[4,8,3,5,6,1,7,2] => 0100101 => [1,1,2,1,1,1] => 359
[5,6,2,3,7,8,1,4] => 0100010 => [1,1,3,1,1] => 233
[5,8,7,3,4,1,2,6] => 0110100 => [1,2,1,1,2] => 241
[6,8,7,3,4,1,2,5] => 0110100 => [1,2,1,1,2] => 241
[6,8,4,7,1,5,3,2] => 0101011 => [1,1,1,1,1,2] => 297
[6,8,4,7,2,5,3,1] => 0101011 => [1,1,1,1,1,2] => 297
[5,4,8,7,2,6,3,1] => 1011011 => [1,1,2,1,2] => 252
[5,4,8,7,1,6,3,2] => 1011011 => [1,1,2,1,2] => 252
[5,3,8,7,6,1,2,4] => 1011100 => [1,1,3,2] => 171
[4,3,8,7,6,1,2,5] => 1011100 => [1,1,3,2] => 171
[4,8,3,7,5,1,2,6] => 0101100 => [1,1,1,2,2] => 255
[8,3,4,6,5,1,2,7] => 1001100 => [1,2,2,2] => 211
[3,8,4,7,5,1,2,6] => 0101100 => [1,1,1,2,2] => 255
[3,4,8,7,6,1,2,5] => 0011100 => [2,3,2] => 126
[3,5,8,7,6,1,2,4] => 0011100 => [2,3,2] => 126
[4,5,8,7,6,1,2,3] => 0011100 => [2,3,2] => 126
[4,5,8,7,1,6,3,2] => 0011011 => [2,2,1,2] => 180
[4,5,8,7,2,6,3,1] => 0011011 => [2,2,1,2] => 180
[3,5,8,2,7,6,4,1] => 0010111 => [2,1,1,3] => 117
[3,5,8,1,7,6,4,2] => 0010111 => [2,1,1,3] => 117
[2,5,8,1,7,6,4,3] => 0010111 => [2,1,1,3] => 117
[2,5,8,7,1,6,3,4] => 0011010 => [2,2,1,1,1] => 255
[2,4,8,7,1,6,3,5] => 0011010 => [2,2,1,1,1] => 255
[2,8,4,7,1,5,3,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[8,2,4,6,1,5,3,7] => 1001010 => [1,2,1,1,1,1] => 345
[8,1,4,6,2,5,3,7] => 1001010 => [1,2,1,1,1,1] => 345
[1,8,4,7,2,5,3,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,4,8,7,2,6,3,5] => 0011010 => [2,2,1,1,1] => 255
[1,5,8,7,2,6,3,4] => 0011010 => [2,2,1,1,1] => 255
[1,5,8,2,7,6,4,3] => 0010111 => [2,1,1,3] => 117
[2,5,8,3,7,6,4,1] => 0010111 => [2,1,1,3] => 117
[1,4,2,8,7,6,5,3] => 0101111 => [1,1,1,4] => 75
[1,3,8,2,7,6,4,5] => 0010110 => [2,1,1,2,1] => 241
[1,8,3,2,7,5,4,6] => 0110110 => [1,2,1,2,1] => 281
[8,1,3,2,6,5,4,7] => 1010110 => [1,1,1,1,2,1] => 345
[8,2,3,1,6,5,4,7] => 1010110 => [1,1,1,1,2,1] => 345
[2,8,3,1,7,5,4,6] => 0110110 => [1,2,1,2,1] => 281
[2,3,8,1,7,6,4,5] => 0010110 => [2,1,1,2,1] => 241
[3,4,1,8,7,6,5,2] => 0101111 => [1,1,1,4] => 75
[4,3,1,8,7,6,5,2] => 1101111 => [2,1,4] => 55
[4,2,1,8,7,6,5,3] => 1101111 => [2,1,4] => 55
[3,8,2,1,7,5,4,6] => 0110110 => [1,2,1,2,1] => 281
[8,3,2,1,6,5,4,7] => 1110110 => [3,1,2,1] => 137
[8,4,2,6,1,5,3,7] => 1101010 => [2,1,1,1,1,1] => 297
[4,2,8,7,1,6,3,5] => 1011010 => [1,1,2,1,1,1] => 359
[5,2,8,7,1,6,3,4] => 1011010 => [1,1,2,1,1,1] => 359
[5,2,8,1,7,6,4,3] => 1010111 => [1,1,1,1,3] => 165
[5,3,8,1,7,6,4,2] => 1010111 => [1,1,1,1,3] => 165
[5,3,8,2,7,6,4,1] => 1010111 => [1,1,1,1,3] => 165
[6,8,3,2,7,5,4,1] => 0110111 => [1,2,1,3] => 137
[6,8,3,1,7,5,4,2] => 0110111 => [1,2,1,3] => 137
[6,8,2,1,7,5,4,3] => 0110111 => [1,2,1,3] => 137
[6,8,2,7,1,5,3,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[6,8,7,2,1,4,3,5] => 0111010 => [1,3,1,1,1] => 219
[8,5,6,1,2,4,3,7] => 1010010 => [1,1,1,2,1,1] => 359
[5,8,7,1,2,4,3,6] => 0110010 => [1,2,2,1,1] => 295
[6,8,1,2,7,5,4,3] => 0100111 => [1,1,2,3] => 145
[6,8,2,3,7,5,4,1] => 0100111 => [1,1,2,3] => 145
[5,2,8,3,7,6,4,1] => 1010111 => [1,1,1,1,3] => 165
[5,1,8,3,7,6,4,2] => 1010111 => [1,1,1,1,3] => 165
[5,1,8,7,2,6,3,4] => 1011010 => [1,1,2,1,1,1] => 359
[4,1,8,7,2,6,3,5] => 1011010 => [1,1,2,1,1,1] => 359
[4,8,1,7,2,5,3,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[8,4,1,6,2,5,3,7] => 1101010 => [2,1,1,1,1,1] => 297
[8,3,1,2,6,5,4,7] => 1100110 => [2,2,2,1] => 211
[3,8,1,2,7,5,4,6] => 0100110 => [1,1,2,2,1] => 295
[3,1,8,2,7,6,4,5] => 1010110 => [1,1,1,1,2,1] => 345
[3,1,2,8,7,6,5,4] => 1001111 => [1,2,4] => 65
[4,1,3,8,7,6,5,2] => 1001111 => [1,2,4] => 65
[3,1,4,8,7,6,5,2] => 1001111 => [1,2,4] => 65
[2,1,8,3,7,6,4,5] => 1010110 => [1,1,1,1,2,1] => 345
[2,8,1,3,7,5,4,6] => 0100110 => [1,1,2,2,1] => 295
[8,2,1,3,6,5,4,7] => 1100110 => [2,2,2,1] => 211
[8,1,2,3,6,5,4,7] => 1000110 => [1,3,2,1] => 185
[1,8,2,3,7,5,4,6] => 0100110 => [1,1,2,2,1] => 295
[1,2,8,3,7,6,4,5] => 0010110 => [2,1,1,2,1] => 241
[1,4,3,6,8,2,5,7] => 0100100 => [1,1,2,1,2] => 252
[3,1,6,2,5,8,4,7] => 1010010 => [1,1,1,2,1,1] => 359
[3,5,1,8,2,4,7,6] => 0101001 => [1,1,1,1,2,1] => 345
[1,4,5,2,8,3,7,6] => 0010101 => [2,1,1,1,1,1] => 297
[1,4,2,6,5,8,3,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,5,4,2,6,8,3,7] => 0110010 => [1,2,2,1,1] => 295
[3,1,6,5,8,2,4,7] => 1010100 => [1,1,1,1,1,2] => 297
[1,6,4,2,5,8,3,7] => 0110010 => [1,2,2,1,1] => 295
[1,5,2,6,4,8,3,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,2,6,5,4,8,3,7] => 0011010 => [2,2,1,1,1] => 255
[1,2,5,4,7,3,8,6] => 0010101 => [2,1,1,1,1,1] => 297
[4,1,2,6,3,8,7,5] => 1001011 => [1,2,1,1,2] => 241
[7,1,5,4,2,8,3,6] => 1011010 => [1,1,2,1,1,1] => 359
[1,4,7,5,2,8,3,6] => 0011010 => [2,2,1,1,1] => 255
[7,1,3,5,2,8,4,6] => 1001010 => [1,2,1,1,1,1] => 345
[7,2,5,1,8,3,4,6] => 1010100 => [1,1,1,1,1,2] => 297
[1,4,5,2,8,7,3,6] => 0010110 => [2,1,1,2,1] => 241
[1,6,4,2,8,3,7,5] => 0110101 => [1,2,1,1,1,1] => 345
[1,4,2,8,3,7,6,5] => 0101011 => [1,1,1,1,1,2] => 297
[1,2,5,3,8,7,6,4] => 0010111 => [2,1,1,3] => 117
[1,2,8,6,5,3,7,4] => 0011101 => [2,3,1,1] => 171
[1,5,2,8,6,3,7,4] => 0101101 => [1,1,1,2,1,1] => 359
[1,6,4,2,8,7,3,5] => 0110110 => [1,2,1,2,1] => 281
[6,2,1,8,7,3,4,5] => 1101100 => [2,1,2,2] => 180
[7,6,2,1,8,3,4,5] => 1110100 => [3,1,1,2] => 117
[7,3,1,6,2,8,4,5] => 1101010 => [2,1,1,1,1,1] => 297
[1,7,6,4,2,8,3,5] => 0111010 => [1,3,1,1,1] => 219
[1,7,5,2,6,3,8,4] => 0110101 => [1,2,1,1,1,1] => 345
[1,6,2,7,5,3,8,4] => 0101101 => [1,1,1,2,1,1] => 359
[1,2,7,6,5,3,8,4] => 0011101 => [2,3,1,1] => 171
[1,2,6,5,3,8,7,4] => 0011011 => [2,2,1,2] => 180
[1,5,2,6,3,8,7,4] => 0101011 => [1,1,1,1,1,2] => 297
[1,5,2,7,6,3,8,4] => 0101101 => [1,1,1,2,1,1] => 359
[1,6,5,2,7,3,8,4] => 0110101 => [1,2,1,1,1,1] => 345
[1,5,7,4,2,8,3,6] => 0011010 => [2,2,1,1,1] => 255
[4,1,2,8,6,3,7,5] => 1001101 => [1,2,2,1,1] => 295
[3,1,8,6,2,4,7,5] => 1011001 => [1,1,2,2,1] => 295
[4,3,7,1,8,2,5,6] => 1010100 => [1,1,1,1,1,2] => 297
[8,3,1,6,2,4,7,5] => 1101001 => [2,1,1,2,1] => 241
[7,1,8,3,2,4,6,5] => 1011001 => [1,1,2,2,1] => 295
[1,8,7,3,2,4,6,5] => 0111001 => [1,3,2,1] => 185
[1,4,2,8,7,3,6,5] => 0101101 => [1,1,1,2,1,1] => 359
[1,7,4,2,8,3,6,5] => 0110101 => [1,2,1,1,1,1] => 345
[8,1,5,4,2,7,3,6] => 1011010 => [1,1,2,1,1,1] => 359
[1,4,8,5,2,7,3,6] => 0011010 => [2,2,1,1,1] => 255
[8,5,3,1,7,2,4,6] => 1110100 => [3,1,1,2] => 117
[8,6,2,1,7,3,4,5] => 1110100 => [3,1,1,2] => 117
[1,8,6,4,2,7,3,5] => 0111010 => [1,3,1,1,1] => 219
[1,8,5,2,6,3,7,4] => 0110101 => [1,2,1,1,1,1] => 345
[1,5,2,7,3,8,6,4] => 0101011 => [1,1,1,1,1,2] => 297
[1,2,8,5,3,7,6,4] => 0011011 => [2,2,1,2] => 180
[1,2,6,3,8,7,5,4] => 0010111 => [2,1,1,3] => 117
[1,2,7,6,3,8,5,4] => 0011011 => [2,2,1,2] => 180
[1,6,2,7,3,8,5,4] => 0101011 => [1,1,1,1,1,2] => 297
[1,7,2,8,5,3,6,4] => 0101101 => [1,1,1,2,1,1] => 359
[1,7,4,2,8,6,3,5] => 0110110 => [1,2,1,2,1] => 281
[7,1,8,3,2,6,4,5] => 1011010 => [1,1,2,1,1,1] => 359
[7,2,1,8,6,3,4,5] => 1101100 => [2,1,2,2] => 180
[1,8,7,3,2,6,4,5] => 0111010 => [1,3,1,1,1] => 219
[1,4,2,8,7,6,3,5] => 0101110 => [1,1,1,3,1] => 219
[1,2,8,7,5,3,6,4] => 0011101 => [2,3,1,1] => 171
[1,2,8,6,3,7,5,4] => 0011011 => [2,2,1,2] => 180
[1,2,7,3,8,6,5,4] => 0010111 => [2,1,1,3] => 117
[4,1,7,3,6,5,8,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,1,8,7,6,2,4,3] => 1011101 => [1,1,3,1,1] => 233
[8,1,7,6,3,4,5,2] => 1011001 => [1,1,2,2,1] => 295
[5,7,8,6,2,4,1,3] => 0011010 => [2,2,1,1,1] => 255
[5,7,1,6,2,4,3,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[6,4,1,5,2,7,3,8] => 1101010 => [2,1,1,1,1,1] => 297
[8,1,4,5,3,7,6,2] => 1001011 => [1,2,1,1,2] => 241
[6,1,4,5,3,8,7,2] => 1001011 => [1,2,1,1,2] => 241
[6,1,4,5,3,7,8,2] => 1001001 => [1,2,1,2,1] => 281
[5,1,7,8,6,2,4,3] => 1001101 => [1,2,2,1,1] => 295
[6,1,4,8,3,5,7,2] => 1001001 => [1,2,1,2,1] => 281
[7,1,8,6,3,4,5,2] => 1011001 => [1,1,2,2,1] => 295
[7,1,4,5,3,8,6,2] => 1001011 => [1,2,1,1,2] => 241
[7,1,4,5,3,6,8,2] => 1001001 => [1,2,1,2,1] => 281
[8,1,4,5,3,6,7,2] => 1001001 => [1,2,1,2,1] => 281
[7,4,1,5,2,6,3,8] => 1101010 => [2,1,1,1,1,1] => 297
[6,3,5,7,2,1,4,8] => 1001100 => [1,2,2,2] => 211
[6,3,5,8,2,1,7,4] => 1001101 => [1,2,2,1,1] => 295
[6,3,5,7,2,1,8,4] => 1001101 => [1,2,2,1,1] => 295
[8,4,5,7,3,6,1,2] => 1001010 => [1,2,1,1,1,1] => 345
[6,4,5,8,3,7,2,1] => 1001011 => [1,2,1,1,2] => 241
[5,8,7,6,2,4,1,3] => 0111010 => [1,3,1,1,1] => 219
[5,4,8,6,3,1,7,2] => 1011101 => [1,1,3,1,1] => 233
[5,4,1,8,2,3,7,6] => 1101001 => [2,1,1,2,1] => 241
[5,8,1,6,2,4,3,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[8,4,1,5,2,6,3,7] => 1101010 => [2,1,1,1,1,1] => 297
[6,3,5,8,2,1,4,7] => 1001100 => [1,2,2,2] => 211
[2,3,4,1,8,6,5,7] => 0010110 => [2,1,1,2,1] => 241
[8,3,5,6,2,1,4,7] => 1001100 => [1,2,2,2] => 211
[2,3,8,5,1,4,7,6] => 0011001 => [2,2,2,1] => 211
[2,3,8,6,1,5,7,4] => 0011001 => [2,2,2,1] => 211
[2,8,6,7,1,3,5,4] => 0101001 => [1,1,1,1,2,1] => 345
[8,3,5,7,2,1,6,4] => 1001101 => [1,2,2,1,1] => 295
[2,3,8,5,6,1,7,4] => 0010101 => [2,1,1,1,1,1] => 297
[7,4,5,6,3,1,8,2] => 1001101 => [1,2,2,1,1] => 295
[8,4,5,6,3,1,7,2] => 1001101 => [1,2,2,1,1] => 295
[7,3,5,6,2,8,1,4] => 1001010 => [1,2,1,1,1,1] => 345
[7,3,5,8,2,1,6,4] => 1001101 => [1,2,2,1,1] => 295
[7,3,5,6,2,1,4,8] => 1001100 => [1,2,2,2] => 211
[2,7,6,5,1,3,4,8] => 0111000 => [1,3,3] => 95
[2,7,6,8,1,3,5,4] => 0101001 => [1,1,1,1,2,1] => 345
[2,7,6,5,8,3,1,4] => 0110110 => [1,2,1,2,1] => 281
[8,7,5,6,1,4,2,3] => 1101010 => [2,1,1,1,1,1] => 297
[2,6,4,1,8,5,7,3] => 0110101 => [1,2,1,1,1,1] => 345
[2,6,1,3,8,5,7,4] => 0100101 => [1,1,2,1,1,1] => 359
[2,7,1,3,6,5,8,4] => 0100101 => [1,1,2,1,1,1] => 359
[2,7,6,8,4,3,1,5] => 0101110 => [1,1,1,3,1] => 219
[2,7,6,1,8,3,4,5] => 0110100 => [1,2,1,1,2] => 241
[2,7,6,1,4,3,5,8] => 0110100 => [1,2,1,1,2] => 241
[7,3,5,1,2,8,4,6] => 1010010 => [1,1,1,2,1,1] => 359
[8,4,1,5,2,3,7,6] => 1101001 => [2,1,1,2,1] => 241
[7,8,1,6,3,4,2,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[6,4,1,8,3,2,7,5] => 1101101 => [2,1,2,1,1] => 252
[2,3,8,6,4,1,7,5] => 0011101 => [2,3,1,1] => 171
[2,8,6,7,4,3,1,5] => 0101110 => [1,1,1,3,1] => 219
[8,3,5,7,2,4,1,6] => 1001010 => [1,2,1,1,1,1] => 345
[2,3,4,1,8,7,5,6] => 0010110 => [2,1,1,2,1] => 241
[2,8,6,1,7,3,4,5] => 0110100 => [1,2,1,1,2] => 241
[2,3,8,1,6,4,7,5] => 0010101 => [2,1,1,1,1,1] => 297
[2,3,8,1,4,5,7,6] => 0010001 => [2,1,3,1] => 157
[2,8,6,1,4,3,5,7] => 0110100 => [1,2,1,1,2] => 241
[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
[1,2,3,4,5,6,7,8,10,9] => 000000001 => [8,1] => 9
[2,1,3,4,5,6,7,8,9,10] => 100000000 => [1,8] => 9
[9,1,2,3,4,5,6,7,10,8] => 100000001 => [1,7,1] => 65
[1,8,2,3,4,5,6,9,7] => 01000001 => [1,1,5,1] => 170
[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] => 110
[2,8,1,3,4,5,6,7,9] => 01000000 => [1,1,6] => 35
[2,10,1,3,4,5,6,7,8,9] => 010000000 => [1,1,7] => 44
[8,4,3,6,5,1,7,2] => 1101101 => [2,1,2,1,1] => 252
[8,5,6,3,4,1,7,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,6,5,4,3,1,7,2] => 1111101 => [5,1,1] => 27
[1,7,6,5,4,2,3,8] => 0111100 => [1,4,2] => 81
[1,8,6,5,2,7,3,4] => 0111010 => [1,3,1,1,1] => 219
[8,7,5,4,1,6,3,2] => 1111011 => [4,1,2] => 55
[7,8,5,4,1,3,6,2] => 0111001 => [1,3,2,1] => 185
[6,8,5,4,2,1,7,3] => 0111101 => [1,4,1,1] => 107
[5,8,6,2,4,1,7,3] => 0110101 => [1,2,1,1,1,1] => 345
[4,8,2,6,5,1,7,3] => 0101101 => [1,1,1,2,1,1] => 359
[3,2,8,6,5,1,7,4] => 1011101 => [1,1,3,1,1] => 233
[3,2,1,7,6,4,5,8] => 1101100 => [2,1,2,2] => 180
[4,1,3,7,6,2,5,8] => 1001100 => [1,2,2,2] => 211
[5,1,7,3,6,2,4,8] => 1010100 => [1,1,1,1,1,2] => 297
[6,1,7,5,3,2,4,8] => 1011100 => [1,1,3,2] => 171
[7,1,6,5,2,4,3,8] => 1011010 => [1,1,2,1,1,1] => 359
[8,1,6,5,2,3,7,4] => 1011001 => [1,1,2,2,1] => 295
[1,2,7,6,3,4,5,8] => 0011000 => [2,2,3] => 105
[1,2,8,3,7,4,5,6] => 0010100 => [2,1,1,1,2] => 207
[8,1,7,2,6,3,5,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,1,8,2,6,4,3,5] => 1010110 => [1,1,1,1,2,1] => 345
[6,1,8,2,4,7,3,5] => 1010010 => [1,1,1,2,1,1] => 359
[5,1,8,3,2,7,4,6] => 1011010 => [1,1,2,1,1,1] => 359
[4,1,3,8,2,7,5,6] => 1001010 => [1,2,1,1,1,1] => 345
[3,2,1,8,4,7,5,6] => 1101010 => [2,1,1,1,1,1] => 297
[3,2,8,7,1,6,5,4] => 1011011 => [1,1,2,1,2] => 252
[4,8,2,7,1,6,5,3] => 0101011 => [1,1,1,1,1,2] => 297
[5,8,7,2,1,6,4,3] => 0111011 => [1,3,1,2] => 157
[6,8,7,1,3,5,4,2] => 0110011 => [1,2,2,2] => 211
[7,8,6,1,5,3,4,2] => 0110101 => [1,2,1,1,1,1] => 345
[8,7,6,1,5,4,3,2] => 1110111 => [3,1,3] => 69
[1,8,7,2,6,5,3,4] => 0110110 => [1,2,1,2,1] => 281
[1,7,8,2,5,6,3,4] => 0010010 => [2,1,2,1,1] => 252
[8,6,7,1,4,5,3,2] => 1010011 => [1,1,1,2,2] => 255
[7,6,8,1,4,3,5,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,5,8,3,2,1,7,4] => 1011101 => [1,1,3,1,1] => 233
[7,5,8,3,1,4,6,2] => 1011001 => [1,1,2,2,1] => 295
[8,5,7,3,1,6,4,2] => 1011011 => [1,1,2,1,2] => 252
[1,6,8,4,2,7,3,5] => 0011010 => [2,2,1,1,1] => 255
[1,5,4,8,2,7,3,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[8,4,3,7,1,6,5,2] => 1101011 => [2,1,1,1,2] => 207
[7,4,3,8,1,5,6,2] => 1101001 => [2,1,1,2,1] => 241
[6,4,3,1,5,2,7,8] => 1110100 => [3,1,1,2] => 117
[7,4,3,1,2,6,5,8] => 1110010 => [3,2,1,1] => 145
[8,4,3,1,2,5,7,6] => 1110001 => [3,3,1] => 95
[1,5,4,2,3,6,7,8] => 0110000 => [1,2,4] => 65
[8,5,1,4,2,3,7,6] => 1101001 => [2,1,1,2,1] => 241
[7,5,1,4,2,6,3,8] => 1101010 => [2,1,1,1,1,1] => 297
[6,5,1,4,3,2,7,8] => 1101100 => [2,1,2,2] => 180
[5,6,1,3,4,2,7,8] => 0100100 => [1,1,2,1,2] => 252
[4,6,2,1,5,3,7,8] => 0110100 => [1,2,1,1,2] => 241
[3,2,6,1,5,4,7,8] => 1010100 => [1,1,1,1,1,2] => 297
[3,2,7,1,4,6,5,8] => 1010010 => [1,1,1,2,1,1] => 359
[4,7,2,1,3,6,5,8] => 0110010 => [1,2,2,1,1] => 295
[5,7,1,3,2,6,4,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[6,7,1,2,4,5,3,8] => 0100010 => [1,1,3,1,1] => 233
[7,6,1,2,5,4,3,8] => 1100110 => [2,2,2,1] => 211
[8,6,1,2,5,3,7,4] => 1100101 => [2,2,1,1,1] => 255
[1,7,2,3,6,4,5,8] => 0100100 => [1,1,2,1,2] => 252
[8,7,1,2,3,6,5,4] => 1100011 => [2,3,2] => 126
[7,8,1,2,3,5,6,4] => 0100001 => [1,1,4,1] => 107
[6,8,1,2,4,3,7,5] => 0100101 => [1,1,2,1,1,1] => 359
[5,8,1,3,2,4,7,6] => 0101001 => [1,1,1,1,2,1] => 345
[4,8,2,1,3,5,7,6] => 0110001 => [1,2,3,1] => 185
[3,2,8,1,4,5,7,6] => 1010001 => [1,1,1,3,1] => 219
[4,1,3,2,5,6,7,8] => 1010000 => [1,1,1,4] => 75
[5,1,2,4,3,6,7,8] => 1001000 => [1,2,1,3] => 137
[6,1,2,3,5,4,7,8] => 1000100 => [1,3,1,2] => 157
[7,1,2,3,4,6,5,8] => 1000010 => [1,4,1,1] => 107
[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] => 255
[6,7,4,5,1,8,3,2] => 0101011 => [1,1,1,1,1,2] => 297
[5,4,7,6,8,1,2,3] => 1010100 => [1,1,1,1,1,2] => 297
[5,3,7,8,6,1,2,4] => 1001100 => [1,2,2,2] => 211
[3,8,4,5,7,1,2,6] => 0100100 => [1,1,2,1,2] => 252
[3,4,8,6,7,1,2,5] => 0010100 => [2,1,1,1,2] => 207
[4,5,6,7,1,8,3,2] => 0001011 => [3,1,1,2] => 117
[3,5,6,2,7,4,8,1] => 0010101 => [2,1,1,1,1,1] => 297
[3,5,6,1,7,8,4,2] => 0010011 => [2,1,2,2] => 180
[2,5,6,1,8,7,4,3] => 0010111 => [2,1,1,3] => 117
[2,5,6,8,1,7,3,4] => 0001010 => [3,1,1,1,1] => 165
[8,2,4,5,1,6,3,7] => 1001010 => [1,2,1,1,1,1] => 345
[1,4,8,6,2,3,7,5] => 0011001 => [2,2,2,1] => 211
[1,5,6,8,2,3,7,4] => 0001001 => [3,1,2,1] => 137
[1,5,6,2,8,4,7,3] => 0010101 => [2,1,1,1,1,1] => 297
[2,5,6,3,4,7,8,1] => 0010001 => [2,1,3,1] => 157
[1,4,2,6,8,5,7,3] => 0100101 => [1,1,2,1,1,1] => 359
[8,1,3,2,5,4,6,7] => 1010100 => [1,1,1,1,1,2] => 297
[8,2,3,1,5,6,4,7] => 1010010 => [1,1,1,2,1,1] => 359
[2,8,3,1,5,7,4,6] => 0110010 => [1,2,2,1,1] => 295
[2,4,1,6,8,7,5,3] => 0100111 => [1,1,2,3] => 145
[3,4,1,6,7,8,5,2] => 0100011 => [1,1,3,2] => 171
[4,3,1,7,6,8,5,2] => 1101011 => [2,1,1,1,2] => 207
[5,2,7,8,1,6,3,4] => 1001010 => [1,2,1,1,1,1] => 345
[5,3,7,2,6,4,8,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,7,3,1,5,8,4,2] => 0110011 => [1,2,2,2] => 211
[6,7,2,1,8,5,4,3] => 0110111 => [1,2,1,3] => 137
[6,7,2,8,1,5,3,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[6,7,8,2,1,4,3,5] => 0011010 => [2,2,1,1,1] => 255
[6,7,1,2,8,4,5,3] => 0100101 => [1,1,2,1,1,1] => 359
[6,7,1,3,4,8,5,2] => 0100011 => [1,1,3,2] => 171
[5,2,7,3,4,6,8,1] => 1010001 => [1,1,1,3,1] => 219
[5,1,7,3,4,8,6,2] => 1010011 => [1,1,1,2,2] => 255
[5,1,7,8,2,3,6,4] => 1001001 => [1,2,1,2,1] => 281
[4,1,8,7,2,3,6,5] => 1011001 => [1,1,2,2,1] => 295
[3,8,1,2,7,4,5,6] => 0100100 => [1,1,2,1,2] => 252
[4,1,3,7,5,8,6,2] => 1001011 => [1,2,1,1,2] => 241
[3,1,4,5,7,8,6,2] => 1000011 => [1,4,2] => 81
[2,1,8,3,4,7,6,5] => 1010011 => [1,1,1,2,2] => 255
[8,2,1,3,4,6,5,7] => 1100010 => [2,3,1,1] => 171
[1,8,2,3,4,5,7,6] => 0100001 => [1,1,4,1] => 107
[1,2,8,3,4,6,7,5] => 0010001 => [2,1,3,1] => 157
[4,2,1,6,5,8,7,3] => 1101011 => [2,1,1,1,2] => 207
[5,2,6,1,4,8,7,3] => 1010011 => [1,1,1,2,2] => 255
[5,2,6,4,1,8,7,3] => 1011011 => [1,1,2,1,2] => 252
[5,2,7,4,8,1,6,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,2,7,4,8,6,1,3] => 1010110 => [1,1,1,1,2,1] => 345
[5,7,2,3,8,6,1,4] => 0100110 => [1,1,2,2,1] => 295
[5,7,2,3,8,1,6,4] => 0100101 => [1,1,2,1,1,1] => 359
[5,6,2,3,1,8,7,4] => 0101011 => [1,1,1,1,1,2] => 297
[5,6,2,1,3,8,7,4] => 0110011 => [1,2,2,2] => 211
[5,1,6,4,2,8,7,3] => 1011011 => [1,1,2,1,2] => 252
[5,6,1,3,2,8,7,4] => 0101011 => [1,1,1,1,1,2] => 297
[5,6,3,1,2,8,7,4] => 0110011 => [1,2,2,2] => 211
[5,6,3,2,1,8,7,4] => 0111011 => [1,3,1,2] => 157
[5,7,3,2,8,1,6,4] => 0110101 => [1,2,1,1,1,1] => 345
[5,7,3,2,8,6,1,4] => 0110110 => [1,2,1,2,1] => 281
[6,7,3,8,2,1,5,4] => 0101101 => [1,1,1,2,1,1] => 359
[6,7,3,8,1,2,5,4] => 0101001 => [1,1,1,1,2,1] => 345
[5,7,3,1,8,2,6,4] => 0110101 => [1,2,1,1,1,1] => 345
[5,7,1,3,8,2,6,4] => 0100101 => [1,1,2,1,1,1] => 359
[5,1,7,4,8,2,6,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[1,5,7,4,8,3,6,2] => 0010101 => [2,1,1,1,1,1] => 297
[1,5,7,4,8,6,3,2] => 0010111 => [2,1,1,3] => 117
[5,1,7,4,8,6,2,3] => 1010110 => [1,1,1,1,2,1] => 345
[5,7,1,3,8,6,2,4] => 0100110 => [1,1,2,2,1] => 295
[5,7,3,1,8,6,2,4] => 0110110 => [1,2,1,2,1] => 281
[6,7,3,8,1,5,2,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[6,7,3,8,5,2,1,4] => 0101110 => [1,1,1,3,1] => 219
[6,7,8,3,1,4,2,5] => 0011010 => [2,2,1,1,1] => 255
[6,7,1,8,3,5,2,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[6,1,7,8,4,5,2,3] => 1001010 => [1,2,1,1,1,1] => 345
[1,6,7,8,4,5,3,2] => 0001011 => [3,1,1,2] => 117
[1,6,7,8,4,3,5,2] => 0001101 => [3,2,1,1] => 145
[6,1,7,8,4,2,5,3] => 1001101 => [1,2,2,1,1] => 295
[6,7,1,8,3,2,5,4] => 0101101 => [1,1,1,2,1,1] => 359
[5,7,2,1,8,3,6,4] => 0110101 => [1,2,1,1,1,1] => 345
[6,7,2,8,1,3,5,4] => 0101001 => [1,1,1,1,2,1] => 345
[6,7,2,8,3,1,5,4] => 0101101 => [1,1,1,2,1,1] => 359
[6,7,2,8,3,5,1,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[6,2,7,8,4,5,1,3] => 1001010 => [1,2,1,1,1,1] => 345
[6,2,7,8,4,1,5,3] => 1001101 => [1,2,2,1,1] => 295
[6,2,7,8,1,4,5,3] => 1001001 => [1,2,1,2,1] => 281
[5,2,7,1,8,4,6,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,2,1,7,8,5,6,3] => 1100101 => [2,2,1,1,1] => 255
[4,1,2,7,8,6,5,3] => 1000111 => [1,3,3] => 95
[6,2,7,8,1,5,4,3] => 1001011 => [1,2,1,1,2] => 241
[6,2,7,8,5,1,4,3] => 1001101 => [1,2,2,1,1] => 295
[6,2,7,8,5,4,1,3] => 1001110 => [1,2,3,1] => 185
[6,7,2,8,5,3,1,4] => 0101110 => [1,1,1,3,1] => 219
[5,7,2,1,8,6,3,4] => 0110110 => [1,2,1,2,1] => 281
[5,7,1,2,8,6,3,4] => 0100110 => [1,1,2,2,1] => 295
[5,1,7,2,8,6,4,3] => 1010111 => [1,1,1,1,3] => 165
[1,5,7,3,8,6,4,2] => 0010111 => [2,1,1,3] => 117
[1,6,7,8,3,5,4,2] => 0001011 => [3,1,1,2] => 117
[6,1,7,8,2,5,4,3] => 1001011 => [1,2,1,1,2] => 241
[6,7,1,8,2,5,3,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[6,7,8,2,4,1,3,5] => 0010100 => [2,1,1,1,2] => 207
[6,7,8,2,4,3,1,5] => 0010110 => [2,1,1,2,1] => 241
[6,7,1,8,5,2,3,4] => 0101100 => [1,1,1,2,2] => 255
[6,1,7,8,5,2,4,3] => 1001101 => [1,2,2,1,1] => 295
[1,6,7,8,5,3,4,2] => 0001101 => [3,2,1,1] => 145
[6,1,7,8,5,4,2,3] => 1001110 => [1,2,3,1] => 185
[6,7,1,8,5,3,2,4] => 0101110 => [1,1,1,3,1] => 219
[6,7,8,4,1,3,2,5] => 0011010 => [2,2,1,1,1] => 255
[6,3,8,5,2,7,4,1] => 1011011 => [1,1,2,1,2] => 252
[6,5,2,8,4,7,3,1] => 1101011 => [2,1,1,1,2] => 207
[6,3,4,5,8,7,2,1] => 1000111 => [1,3,3] => 95
[3,8,4,7,5,2,1,6] => 0101110 => [1,1,1,3,1] => 219
[5,8,1,4,7,2,3,6] => 0100100 => [1,1,2,1,2] => 252
[5,6,1,4,8,7,3,2] => 0100111 => [1,1,2,3] => 145
[3,6,4,8,5,7,1,2] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,1,4,8,6,3,7,2] => 1001101 => [1,2,2,1,1] => 295
[3,4,7,1,8,6,5,2] => 0010111 => [2,1,1,3] => 117
[6,3,8,4,2,7,1,5] => 1011010 => [1,1,2,1,1,1] => 359
[3,6,8,7,1,4,2,5] => 0011010 => [2,2,1,1,1] => 255
[5,3,7,1,6,8,2,4] => 1010010 => [1,1,1,2,1,1] => 359
[4,3,8,5,6,7,2,1] => 1010011 => [1,1,1,2,2] => 255
[5,8,1,7,6,2,4,3] => 0101101 => [1,1,1,2,1,1] => 359
[4,6,1,2,7,8,5,3] => 0100011 => [1,1,3,2] => 171
[3,6,4,2,8,7,5,1] => 0110111 => [1,2,1,3] => 137
[6,3,7,5,2,8,1,4] => 1011010 => [1,1,2,1,1,1] => 359
[6,5,2,7,4,8,1,3] => 1101010 => [2,1,1,1,1,1] => 297
[5,7,1,4,8,3,2,6] => 0100110 => [1,1,2,2,1] => 295
[7,8,3,5,1,4,6,2] => 0101001 => [1,1,1,1,2,1] => 345
[5,8,1,4,6,7,2,3] => 0100010 => [1,1,3,1,1] => 233
[6,5,8,4,3,7,2,1] => 1011011 => [1,1,2,1,2] => 252
[6,3,7,4,2,8,5,1] => 1011011 => [1,1,2,1,2] => 252
[8,7,1,6,2,4,5,3] => 1101001 => [2,1,1,2,1] => 241
[3,8,6,7,1,4,5,2] => 0101001 => [1,1,1,1,2,1] => 345
[5,3,8,7,4,1,2,6] => 1011100 => [1,1,3,2] => 171
[4,3,8,7,1,5,6,2] => 1011001 => [1,1,2,2,1] => 295
[8,3,6,1,2,5,7,4] => 1010001 => [1,1,1,3,1] => 219
[5,6,1,8,7,3,2,4] => 0101110 => [1,1,1,3,1] => 219
[5,4,2,7,3,6,8,1] => 1101001 => [2,1,1,2,1] => 241
[7,5,3,6,4,2,8,1] => 1101101 => [2,1,2,1,1] => 252
[6,4,1,5,3,8,2,7] => 1101010 => [2,1,1,1,1,1] => 297
[8,2,6,3,4,7,5,1] => 1010011 => [1,1,1,2,2] => 255
[7,2,6,3,5,4,8,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,2,7,4,3,5,8,1] => 1011001 => [1,1,2,2,1] => 295
[3,7,6,4,5,2,8,1] => 0110101 => [1,2,1,1,1,1] => 345
[2,7,6,5,3,4,8,1] => 0111001 => [1,3,2,1] => 185
[6,5,4,3,1,8,2,7] => 1111010 => [4,1,1,1] => 75
[8,6,5,4,2,7,3,1] => 1111011 => [4,1,2] => 55
[8,5,4,1,7,2,6,3] => 1110101 => [3,1,1,1,1] => 165
[7,5,4,1,8,3,2,6] => 1110110 => [3,1,2,1] => 137
[1,6,5,2,8,3,4,7] => 0110100 => [1,2,1,1,2] => 241
[1,6,5,3,4,8,2,7] => 0110010 => [1,2,2,1,1] => 295
[5,4,6,3,1,8,2,7] => 1011010 => [1,1,2,1,1,1] => 359
[6,5,8,4,2,7,3,1] => 1011011 => [1,1,2,1,2] => 252
[5,8,2,6,4,7,3,1] => 0101011 => [1,1,1,1,1,2] => 297
[7,8,5,3,2,6,4,1] => 0111011 => [1,3,1,2] => 157
[6,8,3,1,7,2,5,4] => 0110101 => [1,2,1,1,1,1] => 345
[1,8,6,3,7,5,2,4] => 0110110 => [1,2,1,2,1] => 281
[8,7,5,2,6,4,3,1] => 1110111 => [3,1,3] => 69
[8,7,1,6,2,5,4,3] => 1101011 => [2,1,1,1,2] => 207
[2,8,1,7,3,5,6,4] => 0101001 => [1,1,1,1,2,1] => 345
[4,8,1,3,7,2,6,5] => 0100101 => [1,1,2,1,1,1] => 359
[4,2,8,5,7,3,6,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,1,7,6,8,3,2,4] => 1010110 => [1,1,1,1,2,1] => 345
[6,7,3,1,8,4,2,5] => 0110110 => [1,2,1,2,1] => 281
[1,7,3,8,4,5,2,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,7,2,8,5,3,4,6] => 0101100 => [1,1,1,2,2] => 255
[7,6,1,8,4,3,2,5] => 1101110 => [2,1,3,1] => 157
[8,6,1,7,4,2,5,3] => 1101101 => [2,1,2,1,1] => 252
[8,1,2,7,3,4,6,5] => 1001001 => [1,2,1,2,1] => 281
[7,1,2,8,3,5,4,6] => 1001010 => [1,2,1,1,1,1] => 345
[8,2,6,1,7,3,5,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,3,1,4,7,5,6,2] => 1100101 => [2,2,1,1,1] => 255
[4,2,1,5,8,3,6,7] => 1100100 => [2,2,1,2] => 180
[5,4,3,1,6,8,2,7] => 1110010 => [3,2,1,1] => 145
[4,7,5,6,8,3,2,1] => 0100111 => [1,1,2,3] => 145
[6,5,4,8,2,7,3,1] => 1101011 => [2,1,1,1,2] => 207
[6,5,1,8,7,4,2,3] => 1101110 => [2,1,3,1] => 157
[8,6,4,7,5,3,2,1] => 1101111 => [2,1,4] => 55
[5,1,8,3,7,6,2,4] => 1010110 => [1,1,1,1,2,1] => 345
[5,4,8,1,7,2,6,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[3,6,8,2,4,7,5,1] => 0010011 => [2,1,2,2] => 180
[5,7,3,8,2,6,4,1] => 0101011 => [1,1,1,1,1,2] => 297
[4,7,2,8,6,3,5,1] => 0101101 => [1,1,1,2,1,1] => 359
[2,3,8,7,4,5,6,1] => 0011001 => [2,2,2,1] => 211
[7,2,8,6,4,3,5,1] => 1011101 => [1,1,3,1,1] => 233
[2,1,8,7,5,6,3,4] => 1011010 => [1,1,2,1,1,1] => 359
[8,2,7,6,3,5,4,1] => 1011011 => [1,1,2,1,2] => 252
[8,1,7,6,5,2,4,3] => 1011101 => [1,1,3,1,1] => 233
[7,1,8,6,5,3,2,4] => 1011110 => [1,1,4,1] => 107
[1,2,8,7,6,3,4,5] => 0011100 => [2,3,2] => 126
[1,3,8,7,4,6,2,5] => 0011010 => [2,2,1,1,1] => 255
[5,1,6,8,7,4,2,3] => 1001110 => [1,2,3,1] => 185
[6,8,4,7,5,3,2,1] => 0101111 => [1,1,1,4] => 75
[6,8,7,2,5,4,3,1] => 0110111 => [1,2,1,3] => 137
[3,8,7,6,4,5,2,1] => 0111011 => [1,3,1,2] => 157
[2,8,7,6,5,3,4,1] => 0111101 => [1,4,1,1] => 107
[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] => 429
[4,8,6,7,3,5,1,2] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,8,6,7,4,5,1,2] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,8,6,7,4,5,1,3] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,8,6,7,4,5,2,3] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,8,5,7,4,6,2,3] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,8,5,7,4,6,1,2] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,8,5,7,3,6,1,2] => 0101010 => [1,1,1,1,1,1,1] => 429
[7,8,3,6,4,5,1,2] => 0101010 => [1,1,1,1,1,1,1] => 429
[6,8,3,7,4,5,1,2] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,8,3,7,4,6,1,2] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,7,4,8,5,6,1,2] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,7,3,8,5,6,1,2] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,7,2,8,5,6,1,3] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,7,1,8,5,6,2,3] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,7,1,8,5,6,2,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,7,2,8,5,6,1,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,7,3,8,5,6,1,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,7,4,8,5,6,1,3] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,8,2,7,4,6,1,3] => 0101010 => [1,1,1,1,1,1,1] => 429
[6,8,2,7,4,5,1,3] => 0101010 => [1,1,1,1,1,1,1] => 429
[7,8,2,6,4,5,1,3] => 0101010 => [1,1,1,1,1,1,1] => 429
[7,8,1,6,4,5,2,3] => 0101010 => [1,1,1,1,1,1,1] => 429
[6,8,1,7,4,5,2,3] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,8,1,7,4,6,2,3] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,7,4,8,5,6,2,3] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,7,3,8,5,6,2,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,8,5,6,1,7,3,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,8,5,6,2,7,3,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,7,3,8,4,6,2,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,8,1,7,3,6,2,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,8,1,7,3,6,2,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[6,8,1,7,3,5,2,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[7,8,2,6,3,5,1,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[6,8,2,7,3,5,1,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,8,2,7,3,6,1,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,8,2,7,3,6,1,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,7,3,8,4,6,1,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,7,2,8,4,6,1,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,7,1,8,4,6,2,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,8,4,7,3,6,2,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,8,4,7,3,6,1,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,8,4,7,2,6,1,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,8,5,7,2,6,1,3] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,8,5,7,2,6,1,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,8,5,7,3,6,1,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,8,5,7,3,6,2,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,8,6,7,3,5,2,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,8,6,7,3,5,1,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,8,6,7,2,5,1,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,8,6,7,2,5,1,3] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,8,6,7,2,4,1,3] => 0101010 => [1,1,1,1,1,1,1] => 429
[6,8,5,7,1,4,2,3] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,8,6,7,1,4,2,3] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,8,6,7,1,5,2,3] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,8,6,7,1,5,2,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,5,2,8,6,7,3,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,5,1,8,6,7,3,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,6,1,8,5,7,3,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,6,2,8,5,7,3,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,8,5,7,1,6,2,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[6,8,4,7,1,5,2,3] => 0101010 => [1,1,1,1,1,1,1] => 429
[7,8,4,6,1,5,2,3] => 0101010 => [1,1,1,1,1,1,1] => 429
[7,8,3,6,1,5,2,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[6,8,3,7,1,5,2,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,8,3,7,1,6,2,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,8,4,7,1,6,2,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,6,2,8,4,7,3,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,6,1,8,4,7,3,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,7,2,6,1,8,4,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,7,1,6,2,8,4,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,8,1,6,2,7,3,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,8,1,6,2,7,3,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[7,8,1,5,2,6,3,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[7,8,2,5,1,6,3,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[6,8,2,5,1,7,3,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,8,2,6,1,7,3,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,8,2,6,1,7,3,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,7,3,6,2,8,4,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,7,3,6,1,8,4,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[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
[1,2,3,4,5,6,7,8,9,10] => 000000000 => [9] => 1
[1,2,3,4,5,6,9,8,7] => 00000011 => [6,2] => 28
[1,2,3,4,5,6,7,9,10,8] => 000000001 => [8,1] => 9
[1,2,3,4,5,8,7,9,6] => 00000101 => [5,1,1,1] => 110
[1,2,3,4,5,6,8,9,10,7] => 000000001 => [8,1] => 9
[1,2,3,4,7,6,8,9,5] => 00001001 => [4,1,2,1] => 235
[1,2,3,4,5,7,8,9,10,6] => 000000001 => [8,1] => 9
[1,2,3,6,5,7,8,9,4] => 00010001 => [3,1,3,1] => 332
[1,2,3,4,6,7,8,9,10,5] => 000000001 => [8,1] => 9
[1,2,5,4,6,7,8,9,3] => 00100001 => [2,1,4,1] => 303
[1,2,3,5,6,7,8,9,10,4] => 000000001 => [8,1] => 9
[1,4,3,5,6,7,8,9,2] => 01000001 => [1,1,5,1] => 170
[1,2,4,5,6,7,8,9,10,3] => 000000001 => [8,1] => 9
[3,2,4,5,6,7,8,9,1] => 10000001 => [1,6,1] => 50
[1,3,4,5,6,7,8,9,10,2] => 000000001 => [8,1] => 9
[6,7,4,8,3,5,1,2] => 0101010 => [1,1,1,1,1,1,1] => 429
[6,7,4,5,2,8,1,3] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,7,4,6,2,3,1,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,7,4,6,3,8,1,2] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,7,4,8,3,6,1,2] => 0101010 => [1,1,1,1,1,1,1] => 429
[6,8,4,5,3,7,1,2] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,8,4,6,3,7,1,2] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,6,4,8,3,7,1,2] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,6,3,7,2,4,1,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,6,3,7,2,8,1,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,6,3,8,2,7,1,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,6,4,8,2,7,1,3] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,8,4,6,2,7,1,3] => 0101010 => [1,1,1,1,1,1,1] => 429
[6,8,4,5,2,7,1,3] => 0101010 => [1,1,1,1,1,1,1] => 429
[7,8,4,5,2,6,1,3] => 0101010 => [1,1,1,1,1,1,1] => 429
[6,8,4,5,2,3,1,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,8,4,6,2,3,1,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,6,4,8,2,3,1,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,6,3,8,2,4,1,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,6,3,4,2,8,1,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,6,3,5,2,7,1,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,6,3,5,2,8,1,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,6,3,8,2,5,1,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,8,3,6,2,5,1,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,8,3,6,2,4,1,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[6,8,3,5,2,4,1,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[7,8,3,5,2,4,1,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[7,8,3,5,2,6,1,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,8,3,6,2,7,1,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,8,3,6,2,7,1,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,6,3,8,2,7,1,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,6,3,7,2,8,1,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,7,3,6,2,5,1,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,7,3,6,2,8,1,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,7,3,8,2,6,1,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,7,4,8,2,6,1,3] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,7,3,6,2,8,1,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,7,3,6,2,4,1,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[6,7,3,5,2,4,1,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[6,7,3,5,2,8,1,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[6,7,4,8,2,5,1,3] => 0101010 => [1,1,1,1,1,1,1] => 429
[6,7,5,8,2,4,1,3] => 0101010 => [1,1,1,1,1,1,1] => 429
[6,8,5,7,2,3,1,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[6,7,4,8,2,3,1,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[6,7,3,8,2,4,1,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[6,7,3,4,2,8,1,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,7,3,4,2,6,1,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,7,3,4,2,8,1,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,7,4,8,2,3,1,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,8,4,7,2,3,1,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[6,8,4,7,2,3,1,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[7,8,4,6,2,3,1,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[7,8,3,6,2,4,1,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[6,8,3,7,2,4,1,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,8,3,7,2,4,1,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,8,3,7,2,5,1,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,7,3,8,2,5,1,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,7,3,5,2,8,1,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,7,3,5,2,6,1,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,5,3,7,2,6,1,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,5,3,7,2,8,1,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,5,3,8,2,7,1,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,8,3,5,2,7,1,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,8,3,4,2,7,1,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[6,8,3,4,2,7,1,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[7,8,3,4,2,6,1,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[6,8,3,4,2,5,1,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,8,3,4,2,6,1,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,8,3,5,2,6,1,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,5,3,8,2,6,1,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,5,3,6,2,8,1,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,7,5,2,1,8,3,6] => 0111010 => [1,3,1,1,1] => 219
[4,8,5,2,1,7,6,3] => 0111011 => [1,3,1,2] => 157
[4,6,5,2,1,3,8,7] => 0111001 => [1,3,2,1] => 185
[5,6,4,2,3,1,8,7] => 0110101 => [1,2,1,1,1,1] => 345
[6,4,5,3,1,2,8,7] => 1011001 => [1,1,2,2,1] => 295
[5,4,6,1,3,2,8,7] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,6,8,1,7,3,2,5] => 0010110 => [2,1,1,2,1] => 241
[4,7,8,1,6,3,5,2] => 0010101 => [2,1,1,1,1,1] => 297
[7,4,8,1,6,5,3,2] => 1010111 => [1,1,1,1,3] => 165
[5,4,8,1,3,7,6,2] => 1010011 => [1,1,1,2,2] => 255
[8,4,5,3,1,7,6,2] => 1011011 => [1,1,2,1,2] => 252
[5,4,7,1,3,8,2,6] => 1010010 => [1,1,1,2,1,1] => 359
[6,4,8,1,7,5,2,3] => 1010110 => [1,1,1,1,2,1] => 345
[5,6,8,7,2,1,3,4] => 0011100 => [2,3,2] => 126
[8,5,7,6,4,2,1,3] => 1011110 => [1,1,4,1] => 107
[8,4,6,3,7,2,1,5] => 1010110 => [1,1,1,1,2,1] => 345
[6,3,2,8,7,4,1,5] => 1101110 => [2,1,3,1] => 157
[2,1,6,8,7,4,3,5] => 1001110 => [1,2,3,1] => 185
[2,1,7,8,6,4,5,3] => 1001101 => [1,2,2,1,1] => 295
[7,3,2,8,6,4,5,1] => 1101101 => [2,1,2,1,1] => 252
[7,6,8,5,2,4,3,1] => 1011011 => [1,1,2,1,2] => 252
[5,7,8,6,2,3,1,4] => 0011010 => [2,2,1,1,1] => 255
[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] => 107
[5,8,4,2,3,7,6,1] => 0110011 => [1,2,2,2] => 211
[7,8,4,2,6,5,3,1] => 0110111 => [1,2,1,3] => 137
[4,8,7,2,6,3,5,1] => 0110101 => [1,2,1,1,1,1] => 345
[4,8,6,2,7,3,1,5] => 0110110 => [1,2,1,2,1] => 281
[3,6,1,8,7,4,2,5] => 0101110 => [1,1,1,3,1] => 219
[3,7,1,8,6,4,5,2] => 0101101 => [1,1,1,2,1,1] => 359
[3,8,1,6,7,5,2,4] => 0100110 => [1,1,2,2,1] => 295
[3,7,1,6,8,2,5,4] => 0100101 => [1,1,2,1,1,1] => 359
[4,7,6,2,8,1,3,5] => 0110100 => [1,2,1,1,2] => 241
[6,7,4,2,8,1,5,3] => 0110101 => [1,2,1,1,1,1] => 345
[6,8,4,2,7,5,1,3] => 0110110 => [1,2,1,2,1] => 281
[2,1,8,6,7,5,3,4] => 1010110 => [1,1,1,1,2,1] => 345
[8,3,2,6,7,5,1,4] => 1100110 => [2,2,2,1] => 211
[8,6,4,3,7,5,1,2] => 1110110 => [3,1,2,1] => 137
[5,8,6,7,3,1,2,4] => 0101100 => [1,1,1,2,2] => 255
[6,7,5,8,1,3,4,2] => 0101001 => [1,1,1,1,2,1] => 345
[7,6,5,8,1,4,3,2] => 1101011 => [2,1,1,1,2] => 207
[8,6,5,7,4,1,3,2] => 1101101 => [2,1,2,1,1] => 252
[7,6,4,3,8,1,5,2] => 1110101 => [3,1,1,1,1] => 165
[7,3,2,6,8,1,5,4] => 1100101 => [2,2,1,1,1] => 255
[2,1,7,6,8,3,5,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,5,6,8,1,4,2,3] => 1001010 => [1,2,1,1,1,1] => 345
[6,5,7,8,1,2,4,3] => 1001001 => [1,2,1,2,1] => 281
[8,1,3,7,4,6,5,2] => 1001011 => [1,2,1,1,2] => 241
[5,2,8,7,4,6,1,3] => 1011010 => [1,1,2,1,1,1] => 359
[1,6,2,5,4,7,3,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[6,2,7,5,4,8,3,1] => 1011011 => [1,1,2,1,2] => 252
[8,1,3,5,4,7,6,2] => 1001011 => [1,2,1,1,2] => 241
[6,1,5,4,3,8,7,2] => 1011011 => [1,1,2,1,2] => 252
[6,1,8,3,4,5,7,2] => 1010001 => [1,1,1,3,1] => 219
[7,1,5,3,4,8,6,2] => 1010011 => [1,1,1,2,2] => 255
[7,1,4,3,5,6,8,2] => 1010001 => [1,1,1,3,1] => 219
[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] => 233
[6,3,2,7,5,1,8,4] => 1101101 => [2,1,2,1,1] => 252
[8,4,7,2,5,6,1,3] => 1010010 => [1,1,1,2,1,1] => 359
[6,5,8,2,4,7,3,1] => 1010011 => [1,1,1,2,2] => 255
[8,5,2,1,4,3,7,6] => 1110101 => [3,1,1,1,1] => 165
[6,5,2,8,4,1,3,7] => 1101100 => [2,1,2,2] => 180
[5,6,2,1,4,8,3,7] => 0110010 => [1,2,2,1,1] => 295
[3,6,1,8,5,2,4,7] => 0101100 => [1,1,1,2,2] => 255
[1,2,6,3,5,4,7,8] => 0010100 => [2,1,1,1,2] => 207
[3,4,1,2,8,6,5,7] => 0100110 => [1,1,2,2,1] => 295
[4,3,1,2,6,8,5,7] => 1100010 => [2,3,1,1] => 171
[5,8,1,6,3,2,4,7] => 0101100 => [1,1,1,2,2] => 255
[6,3,8,5,2,1,4,7] => 1011100 => [1,1,3,2] => 171
[8,3,1,5,2,4,7,6] => 1101001 => [2,1,1,2,1] => 241
[3,8,2,6,1,5,7,4] => 0101001 => [1,1,1,1,2,1] => 345
[3,8,6,7,2,1,5,4] => 0101101 => [1,1,1,2,1,1] => 359
[8,5,6,4,2,1,7,3] => 1011101 => [1,1,3,1,1] => 233
[7,2,5,8,3,1,6,4] => 1001101 => [1,2,2,1,1] => 295
[1,7,5,6,3,2,4,8] => 0101100 => [1,1,1,2,2] => 255
[6,1,2,3,8,5,7,4] => 1000101 => [1,3,1,1,1] => 219
[7,1,2,3,6,5,8,4] => 1000101 => [1,3,1,1,1] => 219
[7,2,1,3,8,6,4,5] => 1100110 => [2,2,2,1] => 211
[1,5,7,3,2,4,6,8] => 0011000 => [2,2,3] => 105
[5,2,7,3,1,8,4,6] => 1011010 => [1,1,2,1,1,1] => 359
[5,8,2,4,1,3,7,6] => 0101001 => [1,1,1,1,2,1] => 345
[8,7,2,6,3,4,1,5] => 1101010 => [2,1,1,1,1,1] => 297
[4,8,1,6,3,2,7,5] => 0101101 => [1,1,1,2,1,1] => 359
[3,1,8,6,4,2,7,5] => 1011101 => [1,1,3,1,1] => 233
[8,1,6,7,4,3,2,5] => 1001110 => [1,2,3,1] => 185
[3,5,8,7,2,4,1,6] => 0011010 => [2,2,1,1,1] => 255
[4,2,1,3,7,8,5,6] => 1100010 => [2,3,1,1] => 171
[2,4,1,3,8,7,5,6] => 0100110 => [1,1,2,2,1] => 295
[2,5,8,3,1,7,4,6] => 0011010 => [2,2,1,1,1] => 255
[8,6,1,3,7,2,4,5] => 1100100 => [2,2,1,2] => 180
[2,8,1,3,6,4,7,5] => 0100101 => [1,1,2,1,1,1] => 359
[6,8,2,3,4,1,5,7] => 0100100 => [1,1,2,1,2] => 252
[5,1,8,3,2,4,6,7] => 1011000 => [1,1,2,3] => 145
[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] => 35
[8,7,6,9,5,4,3,2,1] => 11011111 => [2,1,5] => 83
[8,7,6,5,9,4,3,2,1] => 11101111 => [3,1,4] => 125
[8,7,6,5,4,9,3,2,1] => 11110111 => [4,1,3] => 125
[8,7,6,5,4,3,9,2,1] => 11111011 => [5,1,2] => 83
[8,7,6,5,4,3,2,9,1] => 11111101 => [6,1,1] => 35
[8,7,6,5,4,3,2,1,9] => 11111110 => [7,1] => 8
[9,10,8,7,6,5,4,3,2,1] => 011111111 => [1,8] => 9
[7,8,9,6,5,4,3,2,1] => 00111111 => [2,6] => 28
[9,8,10,7,6,5,4,3,2,1] => 101111111 => [1,1,7] => 44
[8,6,7,9,5,4,3,2,1] => 10011111 => [1,2,5] => 98
[9,8,7,10,6,5,4,3,2,1] => 110111111 => [2,1,6] => 119
[8,7,5,6,9,4,3,2,1] => 11001111 => [2,2,4] => 185
[9,8,7,6,10,5,4,3,2,1] => 111011111 => [3,1,5] => 209
[8,7,6,4,5,9,3,2,1] => 11100111 => [3,2,3] => 226
[9,8,7,6,5,10,4,3,2,1] => 111101111 => [4,1,4] => 251
[8,7,6,5,3,4,9,2,1] => 11110011 => [4,2,2] => 185
[9,8,7,6,5,4,10,3,2,1] => 111110111 => [5,1,3] => 209
[8,7,6,5,4,2,3,9,1] => 11111001 => [5,2,1] => 98
[9,8,7,6,5,4,3,10,2,1] => 111111011 => [6,1,2] => 119
[8,7,6,5,4,3,1,2,9] => 11111100 => [6,2] => 28
[9,8,7,6,5,4,3,2,10,1] => 111111101 => [7,1,1] => 44
[9,8,7,6,5,4,3,2,1,10] => 111111110 => [8,1] => 9
[1,4,2,7,8,6,3,5] => 0100110 => [1,1,2,2,1] => 295
[1,6,2,4,8,5,3,7] => 0100110 => [1,1,2,2,1] => 295
[1,6,2,4,7,5,3,8] => 0100110 => [1,1,2,2,1] => 295
[1,7,3,8,5,2,4,6] => 0101100 => [1,1,1,2,2] => 255
[1,7,3,2,8,6,4,5] => 0110110 => [1,2,1,2,1] => 281
[4,2,5,7,8,6,1,3] => 1000110 => [1,3,2,1] => 185
[7,2,3,1,8,5,6,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,2,5,1,7,3,4,6] => 1010100 => [1,1,1,1,1,2] => 297
[6,2,1,8,3,4,7,5] => 1101001 => [2,1,1,2,1] => 241
[6,2,8,3,5,1,7,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,2,4,8,5,7,1,3] => 1001010 => [1,2,1,1,1,1] => 345
[1,3,6,4,8,5,7,2] => 0010101 => [2,1,1,1,1,1] => 297
[1,3,6,4,7,5,8,2] => 0010101 => [2,1,1,1,1,1] => 297
[6,2,4,7,5,8,1,3] => 1001010 => [1,2,1,1,1,1] => 345
[6,2,1,3,7,8,4,5] => 1100010 => [2,3,1,1] => 171
[7,8,2,1,4,3,5,6] => 0110100 => [1,2,1,1,2] => 241
[7,6,4,2,3,1,8,5] => 1110101 => [3,1,1,1,1] => 165
[5,7,2,3,1,6,8,4] => 0101001 => [1,1,1,1,2,1] => 345
[7,5,4,2,6,8,1,3] => 1110010 => [3,2,1,1] => 145
[1,7,5,3,4,6,8,2] => 0110001 => [1,2,3,1] => 185
[8,2,5,4,6,7,1,3] => 1010010 => [1,1,1,2,1,1] => 359
[5,2,6,3,1,8,7,4] => 1011011 => [1,1,2,1,2] => 252
[8,2,6,4,3,1,7,5] => 1011101 => [1,1,3,1,1] => 233
[8,2,7,4,1,3,5,6] => 1011000 => [1,1,2,3] => 145
[1,2,8,4,3,5,6,7] => 0011000 => [2,2,3] => 105
[1,7,4,2,3,5,6,8] => 0110000 => [1,2,4] => 65
[6,8,4,1,3,2,5,7] => 0110100 => [1,2,1,1,2] => 241
[1,8,7,4,3,2,5,6] => 0111100 => [1,4,2] => 81
[1,6,3,8,2,4,7,5] => 0101001 => [1,1,1,1,2,1] => 345
[5,3,8,1,2,7,4,6] => 1010010 => [1,1,1,2,1,1] => 359
[5,1,8,3,2,6,4,7] => 1011010 => [1,1,2,1,1,1] => 359
[5,7,3,1,2,6,4,8] => 0110010 => [1,2,2,1,1] => 295
[1,7,5,4,2,6,3,8] => 0111010 => [1,3,1,1,1] => 219
[1,5,8,2,4,6,3,7] => 0010010 => [2,1,2,1,1] => 252
[1,5,8,4,2,7,3,6] => 0011010 => [2,2,1,1,1] => 255
[1,4,6,2,8,3,7,5] => 0010101 => [2,1,1,1,1,1] => 297
[5,3,1,6,7,2,4,8] => 1100100 => [2,2,1,2] => 180
[5,3,6,1,2,8,4,7] => 1010010 => [1,1,1,2,1,1] => 359
[1,6,3,2,7,8,4,5] => 0110010 => [1,2,2,1,1] => 295
[1,7,4,5,3,8,6,2] => 0101011 => [1,1,1,1,1,2] => 297
[6,3,4,1,2,5,8,7] => 1010001 => [1,1,1,3,1] => 219
[6,3,1,4,2,7,5,8] => 1101010 => [2,1,1,1,1,1] => 297
[1,8,3,2,4,5,6,7] => 0110000 => [1,2,4] => 65
[8,6,3,2,4,1,7,5] => 1110101 => [3,1,1,1,1] => 165
[8,5,3,2,6,7,1,4] => 1110010 => [3,2,1,1] => 145
[4,5,2,6,8,1,7,3] => 0100101 => [1,1,2,1,1,1] => 359
[4,2,5,6,7,8,1,3] => 1000010 => [1,4,1,1] => 107
[5,2,3,6,7,1,8,4] => 1000101 => [1,3,1,1,1] => 219
[6,2,3,4,1,7,8,5] => 1001001 => [1,2,1,2,1] => 281
[7,2,3,1,4,5,8,6] => 1010001 => [1,1,1,3,1] => 219
[8,6,1,4,3,2,5,7] => 1101100 => [2,1,2,2] => 180
[8,3,1,6,5,2,4,7] => 1101100 => [2,1,2,2] => 180
[3,7,5,1,8,2,4,6] => 0110100 => [1,2,1,1,2] => 241
[4,1,5,2,8,7,3,6] => 1010110 => [1,1,1,1,2,1] => 345
[8,1,2,4,6,5,3,7] => 1000110 => [1,3,2,1] => 185
[8,1,2,5,4,6,3,7] => 1001010 => [1,2,1,1,1,1] => 345
[8,2,6,5,1,3,4,7] => 1011000 => [1,1,2,3] => 145
[8,3,1,6,2,5,4,7] => 1101010 => [2,1,1,1,1,1] => 297
[8,1,2,6,4,5,3,7] => 1001010 => [1,2,1,1,1,1] => 345
[8,1,2,5,6,4,3,7] => 1000110 => [1,3,2,1] => 185
[8,1,2,6,5,4,3,7] => 1001110 => [1,2,3,1] => 185
[1,7,5,4,2,8,3,6] => 0111010 => [1,3,1,1,1] => 219
[5,1,4,8,2,7,3,6] => 1001010 => [1,2,1,1,1,1] => 345
[1,4,6,8,2,7,3,5] => 0001010 => [3,1,1,1,1] => 165
[1,4,7,6,2,8,3,5] => 0011010 => [2,2,1,1,1] => 255
[5,1,4,7,2,8,3,6] => 1001010 => [1,2,1,1,1,1] => 345
[1,7,4,5,2,8,3,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,7,5,1,2,8,4,6] => 0110010 => [1,2,2,1,1] => 295
[5,7,2,8,1,3,4,6] => 0101000 => [1,1,1,1,3] => 165
[5,2,8,7,1,3,4,6] => 1011000 => [1,1,2,3] => 145
[4,1,5,8,2,7,3,6] => 1001010 => [1,2,1,1,1,1] => 345
[1,4,6,2,8,7,3,5] => 0010110 => [2,1,1,2,1] => 241
[1,4,2,8,6,7,3,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,1,2,6,4,8,7,5] => 1001011 => [1,2,1,1,2] => 241
[2,1,7,6,3,4,8,5] => 1011001 => [1,1,2,2,1] => 295
[3,1,2,7,4,6,8,5] => 1001001 => [1,2,1,2,1] => 281
[1,4,7,2,6,8,3,5] => 0010010 => [2,1,2,1,1] => 252
[1,2,3,6,8,5,7,4] => 0000101 => [4,1,1,1] => 75
[5,1,4,2,7,8,3,6] => 1010010 => [1,1,1,2,1,1] => 359
[1,4,2,7,6,8,3,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,4,2,6,8,7,3,5] => 0100110 => [1,1,2,2,1] => 295
[3,1,2,8,4,6,7,5] => 1001001 => [1,2,1,2,1] => 281
[3,1,2,7,6,4,8,5] => 1001101 => [1,2,2,1,1] => 295
[5,3,7,1,8,2,4,6] => 1010100 => [1,1,1,1,1,2] => 297
[1,7,4,3,2,5,8,6] => 0111001 => [1,3,2,1] => 185
[4,8,7,2,1,3,5,6] => 0111000 => [1,3,3] => 95
[1,8,7,3,4,2,5,6] => 0110100 => [1,2,1,1,2] => 241
[3,1,7,8,2,6,4,5] => 1001010 => [1,2,1,1,1,1] => 345
[1,4,2,7,8,3,6,5] => 0100101 => [1,1,2,1,1,1] => 359
[5,2,8,1,3,4,7,6] => 1010001 => [1,1,1,3,1] => 219
[2,1,8,6,3,4,7,5] => 1011001 => [1,1,2,2,1] => 295
[1,4,2,6,8,3,7,5] => 0100101 => [1,1,2,1,1,1] => 359
[1,2,3,7,8,5,6,4] => 0000101 => [4,1,1,1] => 75
[1,2,3,7,5,8,6,4] => 0001011 => [3,1,1,2] => 117
[1,4,2,7,3,8,6,5] => 0101011 => [1,1,1,1,1,2] => 297
[3,1,7,2,8,6,4,5] => 1010110 => [1,1,1,1,2,1] => 345
[2,1,7,8,3,4,6,5] => 1001001 => [1,2,1,2,1] => 281
[1,2,3,8,7,5,6,4] => 0001101 => [3,2,1,1] => 145
[10,1,2,3,4,5,6,7,8,9] => 100000000 => [1,8] => 9
[10,1,2,3,4,5,6,9,7,8] => 100000010 => [1,6,1,1] => 254
[10,1,2,3,4,5,9,6,7,8] => 100000100 => [1,5,1,2] => 534
[9,1,2,3,4,10,5,6,7,8] => 100001000 => [1,4,1,3] => 709
[10,1,2,3,9,4,5,6,7,8] => 100010000 => [1,3,1,4] => 626
[10,1,2,9,3,4,5,6,7,8] => 100100000 => [1,2,1,5] => 375
[9,1,10,2,3,4,5,6,7,8] => 101000000 => [1,1,1,6] => 154
[10,9,1,2,3,4,5,6,7,8] => 110000000 => [2,7] => 36
[8,1,2,3,4,5,6,9,10,7] => 100000001 => [1,7,1] => 65
[7,1,2,3,4,5,10,9,6,8] => 100000110 => [1,5,2,1] => 630
[6,1,2,3,4,10,9,5,7,8] => 100001100 => [1,4,2,2] => 1041
[5,1,2,3,9,10,4,6,7,8] => 100001000 => [1,4,1,3] => 709
[4,1,2,10,9,3,5,6,7,8] => 100110000 => [1,2,2,4] => 801
[3,1,10,9,2,4,5,6,7,8] => 101100000 => [1,1,2,5] => 399
[2,9,10,1,3,4,5,6,7,8] => 001000000 => [2,1,6] => 119
[4,7,8,5,6,2,1,3] => 0010110 => [2,1,1,2,1] => 241
[5,7,8,4,2,6,1,3] => 0011010 => [2,2,1,1,1] => 255
[6,7,8,4,2,5,1,3] => 0011010 => [2,2,1,1,1] => 255
[8,6,3,7,2,1,5,4] => 1101101 => [2,1,2,1,1] => 252
[7,6,3,8,2,1,5,4] => 1101101 => [2,1,2,1,1] => 252
[6,7,8,3,2,1,5,4] => 0011101 => [2,3,1,1] => 171
[5,7,8,3,2,1,6,4] => 0011101 => [2,3,1,1] => 171
[2,7,8,4,3,5,6,1] => 0011001 => [2,2,2,1] => 211
[3,7,8,4,2,5,1,6] => 0011010 => [2,2,1,1,1] => 255
[4,7,8,3,2,1,5,6] => 0011100 => [2,3,2] => 126
[5,7,8,3,2,1,4,6] => 0011100 => [2,3,2] => 126
[7,6,3,8,2,1,4,5] => 1101100 => [2,1,2,2] => 180
[8,6,3,7,2,1,4,5] => 1101100 => [2,1,2,2] => 180
[5,6,3,8,2,1,4,7] => 0101100 => [1,1,1,2,2] => 255
[3,6,4,8,2,5,1,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,6,4,8,3,5,7,1] => 0101001 => [1,1,1,1,2,1] => 345
[2,6,4,7,3,5,8,1] => 0101001 => [1,1,1,1,2,1] => 345
[3,6,4,7,2,5,1,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,6,3,7,2,1,5,8] => 0101100 => [1,1,1,2,2] => 255
[5,6,3,7,2,1,4,8] => 0101100 => [1,1,1,2,2] => 255
[8,4,3,2,1,6,5,7] => 1111010 => [4,1,1,1] => 75
[6,4,3,2,1,7,5,8] => 1111010 => [4,1,1,1] => 75
[4,5,3,2,7,1,6,8] => 0110100 => [1,2,1,1,2] => 241
[3,5,4,2,8,6,1,7] => 0110110 => [1,2,1,2,1] => 281
[6,4,3,2,1,8,5,7] => 1111010 => [4,1,1,1] => 75
[7,4,3,2,1,8,5,6] => 1111010 => [4,1,1,1] => 75
[8,4,3,2,1,7,5,6] => 1111010 => [4,1,1,1] => 75
[8,4,3,2,1,7,6,5] => 1111011 => [4,1,2] => 55
[7,4,3,2,1,8,6,5] => 1111011 => [4,1,2] => 55
[6,4,3,2,1,8,7,5] => 1111011 => [4,1,2] => 55
[5,6,3,8,2,1,7,4] => 0101101 => [1,1,1,2,1,1] => 359
[7,5,3,2,8,1,6,4] => 1110101 => [3,1,1,1,1] => 165
[8,5,4,2,7,6,1,3] => 1110110 => [3,1,2,1] => 137
[7,5,4,2,8,6,1,3] => 1110110 => [3,1,2,1] => 137
[6,5,4,2,8,7,1,3] => 1110110 => [3,1,2,1] => 137
[4,6,5,8,7,2,1,3] => 0101110 => [1,1,1,3,1] => 219
[2,6,5,7,8,3,4,1] => 0100101 => [1,1,2,1,1,1] => 359
[6,5,4,2,7,8,1,3] => 1110010 => [3,2,1,1] => 145
[8,5,4,2,6,7,1,3] => 1110010 => [3,2,1,1] => 145
[8,5,3,2,6,1,7,4] => 1110101 => [3,1,1,1,1] => 165
[7,5,3,2,6,1,8,4] => 1110101 => [3,1,1,1,1] => 165
[5,6,3,7,2,1,8,4] => 0101101 => [1,1,1,2,1,1] => 359
[4,6,3,7,2,1,8,5] => 0101101 => [1,1,1,2,1,1] => 359
[3,6,4,7,2,8,1,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,6,4,7,3,8,5,1] => 0101011 => [1,1,1,1,1,2] => 297
[3,5,4,2,7,8,1,6] => 0110010 => [1,2,2,1,1] => 295
[4,5,3,2,7,1,8,6] => 0110101 => [1,2,1,1,1,1] => 345
[7,4,3,2,1,6,8,5] => 1111001 => [4,2,1] => 65
[8,4,3,2,1,6,7,5] => 1111001 => [4,2,1] => 65
[8,4,3,2,1,5,7,6] => 1111001 => [4,2,1] => 65
[7,4,3,2,1,5,8,6] => 1111001 => [4,2,1] => 65
[6,4,3,2,1,5,8,7] => 1111001 => [4,2,1] => 65
[3,5,4,2,6,8,1,7] => 0110010 => [1,2,2,1,1] => 295
[5,6,3,4,1,2,8,7] => 0101001 => [1,1,1,1,2,1] => 345
[8,5,3,7,2,6,4,1] => 1101011 => [2,1,1,1,2] => 207
[8,5,7,4,2,6,3,1] => 1011011 => [1,1,2,1,2] => 252
[7,5,8,4,2,6,1,3] => 1011010 => [1,1,2,1,1,1] => 359
[2,1,7,8,5,6,3,4] => 1001010 => [1,2,1,1,1,1] => 345
[6,8,3,7,5,1,4,2] => 0101101 => [1,1,1,2,1,1] => 359
[5,7,3,8,1,6,2,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,2,6,4,8,5,1,7] => 1010110 => [1,1,1,1,2,1] => 345
[3,5,2,4,1,7,6,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,2,5,8,3,1,6,7] => 1001100 => [1,2,2,2] => 211
[3,1,5,4,2,8,6,7] => 1011010 => [1,1,2,1,1,1] => 359
[4,1,5,8,3,2,6,7] => 1001100 => [1,2,2,2] => 211
[4,3,8,5,2,1,6,7] => 1011100 => [1,1,3,2] => 171
[4,7,3,5,2,1,6,8] => 0101100 => [1,1,1,2,2] => 255
[4,3,2,7,5,1,6,8] => 1101100 => [2,1,2,2] => 180
[4,3,6,2,5,1,7,8] => 1010100 => [1,1,1,1,1,2] => 297
[4,6,3,2,5,1,7,8] => 0110100 => [1,2,1,1,2] => 241
[4,5,1,7,3,2,6,8] => 0101100 => [1,1,1,2,2] => 255
[5,2,1,4,3,7,8,6] => 1101001 => [2,1,1,2,1] => 241
[4,3,1,5,7,2,6,8] => 1100100 => [2,2,1,2] => 180
[4,3,6,1,5,2,7,8] => 1010100 => [1,1,1,1,1,2] => 297
[4,6,3,1,5,2,7,8] => 0110100 => [1,2,1,1,2] => 241
[5,3,6,4,1,2,7,8] => 1011000 => [1,1,2,3] => 145
[4,3,6,1,7,2,5,8] => 1010100 => [1,1,1,1,1,2] => 297
[6,2,4,1,3,7,8,5] => 1010001 => [1,1,1,3,1] => 219
[3,6,4,1,2,7,5,8] => 0110010 => [1,2,2,1,1] => 295
[4,6,3,1,7,2,5,8] => 0110100 => [1,2,1,1,2] => 241
[5,6,2,7,1,3,4,8] => 0101000 => [1,1,1,1,3] => 165
[4,5,2,7,3,1,6,8] => 0101100 => [1,1,1,2,2] => 255
[4,6,2,1,7,3,5,8] => 0110100 => [1,2,1,1,2] => 241
[3,2,6,1,4,7,5,8] => 1010010 => [1,1,1,2,1,1] => 359
[3,5,2,7,4,6,1,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,7,2,4,8,5,1,6] => 0100110 => [1,1,2,2,1] => 295
[7,3,1,4,6,8,2,5] => 1100010 => [2,3,1,1] => 171
[3,2,6,1,5,7,4,8] => 1010010 => [1,1,1,2,1,1] => 359
[6,3,2,1,5,7,4,8] => 1110010 => [3,2,1,1] => 145
[6,4,2,1,5,3,7,8] => 1110100 => [3,1,1,2] => 117
[4,2,6,1,5,3,7,8] => 1010100 => [1,1,1,1,1,2] => 297
[4,2,1,7,5,3,6,8] => 1101100 => [2,1,2,2] => 180
[7,4,1,5,6,2,3,8] => 1100100 => [2,2,1,2] => 180
[7,3,1,5,2,6,4,8] => 1101010 => [2,1,1,1,1,1] => 297
[6,3,5,1,2,7,4,8] => 1010010 => [1,1,1,2,1,1] => 359
[5,2,6,4,1,3,7,8] => 1011000 => [1,1,2,3] => 145
[3,6,5,1,2,7,4,8] => 0110010 => [1,2,2,1,1] => 295
[6,5,2,1,4,7,8,3] => 1110001 => [3,3,1] => 95
[6,5,3,1,4,7,2,8] => 1110010 => [3,2,1,1] => 145
[2,3,1,8,5,4,7,6] => 0101101 => [1,1,1,2,1,1] => 359
[2,4,1,5,8,3,7,6] => 0100101 => [1,1,2,1,1,1] => 359
[2,4,1,5,3,8,7,6] => 0101011 => [1,1,1,1,1,2] => 297
[3,4,5,1,2,8,7,6] => 0010011 => [2,1,2,2] => 180
[3,4,5,1,8,2,7,6] => 0010101 => [2,1,1,1,1,1] => 297
[1,8,4,5,3,2,7,6] => 0101101 => [1,1,1,2,1,1] => 359
[2,4,8,5,3,1,7,6] => 0011101 => [2,3,1,1] => 171
[3,4,5,8,2,1,7,6] => 0001101 => [3,2,1,1] => 145
[3,4,5,2,8,1,7,6] => 0010101 => [2,1,1,1,1,1] => 297
[3,4,6,2,1,7,8,5] => 0011001 => [2,2,2,1] => 211
[3,4,6,2,1,7,5,8] => 0011010 => [2,2,1,1,1] => 255
[3,5,6,2,7,1,4,8] => 0010100 => [2,1,1,1,2] => 207
[3,5,6,2,7,1,8,4] => 0010101 => [2,1,1,1,1,1] => 297
[3,5,6,2,7,8,1,4] => 0010010 => [2,1,2,1,1] => 252
[3,4,6,2,8,7,1,5] => 0010110 => [2,1,1,2,1] => 241
[3,4,6,8,2,7,1,5] => 0001010 => [3,1,1,1,1] => 165
[2,4,8,6,3,7,1,5] => 0011010 => [2,2,1,1,1] => 255
[1,8,4,6,3,7,2,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,8,4,6,3,7,5,2] => 0101011 => [1,1,1,1,1,2] => 297
[3,4,6,8,2,7,5,1] => 0001011 => [3,1,1,2] => 117
[3,4,6,2,8,7,5,1] => 0010111 => [2,1,1,3] => 117
[3,5,6,2,7,8,4,1] => 0010011 => [2,1,2,2] => 180
[3,5,6,2,7,4,1,8] => 0010110 => [2,1,1,2,1] => 241
[4,5,6,7,2,8,3,1] => 0001011 => [3,1,1,2] => 117
[3,5,6,8,7,2,4,1] => 0001101 => [3,2,1,1] => 145
[2,5,8,6,7,3,4,1] => 0010101 => [2,1,1,1,1,1] => 297
[1,8,5,6,7,3,4,2] => 0100101 => [1,1,2,1,1,1] => 359
[1,8,5,6,7,3,2,4] => 0100110 => [1,1,2,2,1] => 295
[2,5,8,6,7,3,1,4] => 0010110 => [2,1,1,2,1] => 241
[3,5,6,8,7,2,1,4] => 0001110 => [3,3,1] => 95
[4,5,6,7,2,1,8,3] => 0001101 => [3,2,1,1] => 145
[3,4,6,1,8,7,2,5] => 0010110 => [2,1,1,2,1] => 241
[2,4,1,6,8,7,3,5] => 0100110 => [1,1,2,2,1] => 295
[2,3,1,8,6,7,4,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,8,3,2,6,7,5,4] => 0110011 => [1,2,2,2] => 211
[2,5,1,6,7,8,4,3] => 0100011 => [1,1,3,2] => 171
[2,5,1,6,7,4,8,3] => 0100101 => [1,1,2,1,1,1] => 359
[2,5,1,6,7,4,3,8] => 0100110 => [1,1,2,2,1] => 295
[3,5,6,1,7,4,2,8] => 0010110 => [2,1,1,2,1] => 241
[3,5,6,1,7,4,8,2] => 0010101 => [2,1,1,1,1,1] => 297
[3,4,6,1,8,7,5,2] => 0010111 => [2,1,1,3] => 117
[3,4,6,8,1,7,5,2] => 0001011 => [3,1,1,2] => 117
[2,4,8,6,1,7,5,3] => 0011011 => [2,2,1,2] => 180
[1,8,4,6,2,7,5,3] => 0101011 => [1,1,1,1,1,2] => 297
[1,8,5,6,7,2,4,3] => 0100101 => [1,1,2,1,1,1] => 359
[2,5,8,6,7,1,4,3] => 0010101 => [2,1,1,1,1,1] => 297
[3,5,6,8,7,1,4,2] => 0001101 => [3,2,1,1] => 145
[4,5,6,7,8,1,3,2] => 0000101 => [4,1,1,1] => 75
[4,5,6,7,1,3,8,2] => 0001001 => [3,1,2,1] => 137
[4,5,6,7,1,3,2,8] => 0001010 => [3,1,1,1,1] => 165
[4,5,6,7,3,1,8,2] => 0001101 => [3,2,1,1] => 145
[3,5,6,8,7,4,1,2] => 0001110 => [3,3,1] => 95
[2,5,8,6,7,4,1,3] => 0010110 => [2,1,1,2,1] => 241
[1,8,5,6,7,4,2,3] => 0100110 => [1,1,2,2,1] => 295
[1,8,5,6,7,4,3,2] => 0100111 => [1,1,2,3] => 145
[2,5,8,6,7,4,3,1] => 0010111 => [2,1,1,3] => 117
[8,2,5,3,7,1,6,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,2,4,3,7,1,6,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,8,2,4,3,7,1,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,2,5,6,1,8,3,7] => 1001010 => [1,2,1,1,1,1] => 345
[4,2,5,6,1,7,3,8] => 1001010 => [1,2,1,1,1,1] => 345
[6,1,5,7,3,2,4,8] => 1001100 => [1,2,2,2] => 211
[6,1,5,8,3,2,4,7] => 1001100 => [1,2,2,2] => 211
[3,8,2,4,7,1,5,6] => 0100100 => [1,1,2,1,2] => 252
[3,6,8,2,4,7,1,5] => 0010010 => [2,1,2,1,1] => 252
[4,3,5,6,7,1,8,2] => 1000101 => [1,3,1,1,1] => 219
[3,7,1,5,6,8,2,4] => 0100010 => [1,1,3,1,1] => 233
[3,7,1,5,8,2,4,6] => 0100100 => [1,1,2,1,2] => 252
[8,3,2,4,6,1,5,7] => 1100100 => [2,2,1,2] => 180
[7,3,2,4,6,1,5,8] => 1100100 => [2,2,1,2] => 180
[3,2,5,1,7,4,6,8] => 1010100 => [1,1,1,1,1,2] => 297
[3,2,5,1,8,4,6,7] => 1010100 => [1,1,1,1,1,2] => 297
[3,2,5,1,7,8,4,6] => 1010010 => [1,1,1,2,1,1] => 359
[7,8,3,2,4,6,1,5] => 0110010 => [1,2,2,1,1] => 295
[6,1,5,7,8,3,2,4] => 1000110 => [1,3,2,1] => 185
[4,2,5,6,1,7,8,3] => 1001001 => [1,2,1,2,1] => 281
[5,7,6,1,8,3,4,2] => 0110101 => [1,2,1,1,1,1] => 345
[5,8,6,1,7,3,4,2] => 0110101 => [1,2,1,1,1,1] => 345
[6,1,5,8,7,3,2,4] => 1001110 => [1,2,3,1] => 185
[8,7,3,2,4,6,1,5] => 1110010 => [3,2,1,1] => 145
[3,2,5,1,8,7,4,6] => 1010110 => [1,1,1,1,2,1] => 345
[3,2,5,1,6,4,7,8] => 1010100 => [1,1,1,1,1,2] => 297
[3,2,4,1,8,7,5,6] => 1010110 => [1,1,1,1,2,1] => 345
[3,2,5,1,6,8,7,4] => 1010011 => [1,1,1,2,2] => 255
[3,8,6,5,1,7,4,2] => 0111011 => [1,3,1,2] => 157
[3,7,6,5,1,8,4,2] => 0111011 => [1,3,1,2] => 157
[6,5,1,7,8,4,2,3] => 1100110 => [2,2,2,1] => 211
[3,2,5,1,6,7,8,4] => 1010001 => [1,1,1,3,1] => 219
[3,2,4,1,8,5,6,7] => 1010100 => [1,1,1,1,1,2] => 297
[3,2,4,1,7,5,6,8] => 1010100 => [1,1,1,1,1,2] => 297
[3,2,4,1,6,8,5,7] => 1010010 => [1,1,1,2,1,1] => 359
[3,2,4,1,8,5,7,6] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,3,2,4,7,6,1,5] => 1100110 => [2,2,2,1] => 211
[3,2,5,1,8,4,7,6] => 1010101 => [1,1,1,1,1,1,1] => 429
[3,2,5,1,6,7,4,8] => 1010010 => [1,1,1,2,1,1] => 359
[6,5,1,7,4,2,3,8] => 1101100 => [2,1,2,2] => 180
[6,5,1,8,4,2,3,7] => 1101100 => [2,1,2,2] => 180
[8,4,2,3,7,5,1,6] => 1100110 => [2,2,2,1] => 211
[4,2,6,1,8,3,7,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,2,6,1,8,3,7,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,4,6,1,7,3,5,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,2,6,1,8,4,7,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,4,2,3,8,5,1,6] => 1100110 => [2,2,2,1] => 211
[8,5,1,6,4,2,3,7] => 1101100 => [2,1,2,2] => 180
[7,5,1,6,4,2,3,8] => 1101100 => [2,1,2,2] => 180
[3,2,5,1,7,6,4,8] => 1010110 => [1,1,1,1,2,1] => 345
[3,2,5,1,8,6,4,7] => 1010110 => [1,1,1,1,2,1] => 345
[7,3,2,4,8,6,1,5] => 1100110 => [2,2,2,1] => 211
[8,6,1,5,7,3,2,4] => 1100110 => [2,2,2,1] => 211
[4,2,6,1,8,5,7,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,5,6,1,7,3,4,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[3,6,8,5,1,7,4,2] => 0011011 => [2,2,1,2] => 180
[8,5,1,6,7,4,2,3] => 1100110 => [2,2,2,1] => 211
[3,2,5,1,8,6,7,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[3,2,4,1,8,6,5,7] => 1010110 => [1,1,1,1,2,1] => 345
[3,2,4,1,5,8,6,7] => 1010010 => [1,1,1,2,1,1] => 359
[3,2,5,1,7,8,6,4] => 1010011 => [1,1,1,2,2] => 255
[7,8,5,1,6,4,2,3] => 0110110 => [1,2,1,2,1] => 281
[3,8,5,1,7,6,4,2] => 0110111 => [1,2,1,3] => 137
[3,7,5,1,8,6,4,2] => 0110111 => [1,2,1,3] => 137
[8,7,5,1,6,4,2,3] => 1110110 => [3,1,2,1] => 137
[3,2,5,1,8,7,6,4] => 1010111 => [1,1,1,1,3] => 165
[6,5,7,3,1,8,4,2] => 1011011 => [1,1,2,1,2] => 252
[4,6,3,7,1,8,5,2] => 0101011 => [1,1,1,1,1,2] => 297
[4,6,3,7,5,1,8,2] => 0101101 => [1,1,1,2,1,1] => 359
[4,2,6,1,7,5,3,8] => 1010110 => [1,1,1,1,2,1] => 345
[2,5,7,4,1,6,3,8] => 0011010 => [2,2,1,1,1] => 255
[2,5,7,4,1,6,8,3] => 0011001 => [2,2,2,1] => 211
[5,4,7,3,6,1,8,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,4,7,8,3,1,6,2] => 1001101 => [1,2,2,1,1] => 295
[4,3,7,5,1,8,6,2] => 1011011 => [1,1,2,1,2] => 252
[6,4,3,8,5,1,7,2] => 1101101 => [2,1,2,1,1] => 252
[5,8,4,3,6,1,7,2] => 0110101 => [1,2,1,1,1,1] => 345
[5,4,8,3,6,1,7,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,4,3,6,7,1,8,2] => 1100101 => [2,2,1,1,1] => 255
[2,5,4,6,1,7,3,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,2,5,8,1,6,7,4] => 1001001 => [1,2,1,2,1] => 281
[2,5,4,6,8,1,7,3] => 0100101 => [1,1,2,1,1,1] => 359
[5,2,8,4,1,6,7,3] => 1011001 => [1,1,2,2,1] => 295
[4,6,2,1,8,5,7,3] => 0110101 => [1,2,1,1,1,1] => 345
[2,4,1,7,5,8,6,3] => 0101011 => [1,1,1,1,1,2] => 297
[2,4,1,7,5,3,8,6] => 0101101 => [1,1,1,2,1,1] => 359
[2,6,4,1,8,5,3,7] => 0110110 => [1,2,1,2,1] => 281
[5,4,8,2,1,6,3,7] => 1011010 => [1,1,2,1,1,1] => 359
[2,5,8,4,1,6,3,7] => 0011010 => [2,2,1,1,1] => 255
[3,2,5,6,1,8,4,7] => 1001010 => [1,2,1,1,1,1] => 345
[4,8,3,2,6,1,5,7] => 0110100 => [1,2,1,1,2] => 241
[3,5,2,8,1,6,4,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,2,1,6,8,5,4,7] => 1100110 => [2,2,2,1] => 211
[3,2,7,1,5,4,8,6] => 1010101 => [1,1,1,1,1,1,1] => 429
[3,2,7,1,5,8,6,4] => 1010011 => [1,1,1,2,2] => 255
[3,8,2,5,1,6,7,4] => 0101001 => [1,1,1,1,2,1] => 345
[4,8,3,2,6,7,1,5] => 0110010 => [1,2,2,1,1] => 295
[4,3,8,2,6,7,1,5] => 1010010 => [1,1,1,2,1,1] => 359
[4,3,2,6,7,8,1,5] => 1100010 => [2,3,1,1] => 171
[4,3,2,6,7,1,5,8] => 1100100 => [2,2,1,2] => 180
[4,3,7,2,6,8,1,5] => 1010010 => [1,1,1,2,1,1] => 359
[4,3,7,8,2,6,1,5] => 1001010 => [1,2,1,1,1,1] => 345
[2,5,7,4,8,1,6,3] => 0010101 => [2,1,1,1,1,1] => 297
[3,2,5,7,8,1,6,4] => 1000101 => [1,3,1,1,1] => 219
[3,2,5,7,1,6,8,4] => 1001001 => [1,2,1,2,1] => 281
[3,2,5,7,1,6,4,8] => 1001010 => [1,2,1,1,1,1] => 345
[6,3,2,7,1,5,4,8] => 1101010 => [2,1,1,1,1,1] => 297
[6,3,2,7,1,5,8,4] => 1101001 => [2,1,1,2,1] => 241
[6,3,2,7,8,1,5,4] => 1100101 => [2,2,1,1,1] => 255
[4,2,6,1,7,8,5,3] => 1010011 => [1,1,1,2,2] => 255
[6,5,2,1,7,8,4,3] => 1110011 => [3,2,2] => 105
[2,1,7,5,3,8,6,4] => 1011011 => [1,1,2,1,2] => 252
[6,2,1,8,5,3,7,4] => 1101101 => [2,1,2,1,1] => 252
[6,3,2,7,1,4,8,5] => 1101001 => [2,1,1,2,1] => 241
[6,3,2,1,4,7,8,5] => 1110001 => [3,3,1] => 95
[6,3,2,1,4,7,5,8] => 1110010 => [3,2,1,1] => 145
[3,5,2,1,7,4,6,8] => 0110100 => [1,2,1,1,2] => 241
[3,5,2,1,7,8,4,6] => 0110010 => [1,2,2,1,1] => 295
[5,8,4,2,1,7,3,6] => 0111010 => [1,3,1,1,1] => 219
[4,6,2,1,8,3,7,5] => 0110101 => [1,2,1,1,1,1] => 345
[2,4,1,7,3,8,6,5] => 0101011 => [1,1,1,1,1,2] => 297
[3,2,7,1,4,8,6,5] => 1010011 => [1,1,1,2,2] => 255
[3,5,8,2,1,7,4,6] => 0011010 => [2,2,1,1,1] => 255
[4,8,3,7,2,1,5,6] => 0101100 => [1,1,1,2,2] => 255
[4,3,7,2,8,1,5,6] => 1010100 => [1,1,1,1,1,2] => 297
[4,3,7,2,1,5,6,8] => 1011000 => [1,1,2,3] => 145
[4,8,3,2,7,1,5,6] => 0110100 => [1,2,1,1,2] => 241
[3,5,2,8,1,7,4,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[6,3,2,8,1,4,7,5] => 1101001 => [2,1,1,2,1] => 241
[3,2,1,4,7,5,8,6] => 1100101 => [2,2,1,1,1] => 255
[5,3,2,1,8,4,6,7] => 1110100 => [3,1,1,2] => 117
[4,8,3,2,1,5,6,7] => 0111000 => [1,3,3] => 95
[4,3,8,2,1,5,6,7] => 1011000 => [1,1,2,3] => 145
[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] => 332
[1,9,8,7,5,6,4,3,2] => 01110111 => [1,3,1,3] => 332
[1,10,9,8,7,6,5,4,3,2] => 011111111 => [1,8] => 9
[9,8,7,5,6,4,3,2,1,10] => 111011110 => [3,1,4,1] => 709
[8,7,5,4,6,3,2,1,9] => 11101110 => [3,1,3,1] => 332
[8,7,4,6,5,3,2,1,9] => 11011110 => [2,1,4,1] => 303
[1,9,8,6,5,7,4,3,2] => 01110111 => [1,3,1,3] => 332
[1,9,8,5,7,6,4,3,2] => 01101111 => [1,2,1,4] => 235
[1,10,9,8,6,7,5,4,3,2] => 011101111 => [1,3,1,4] => 626
[6,2,3,1,5,4,8,7] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,4,5,2,3,1,7,6] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,6,7,2,5,3,4,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,2,5,3,4,1,7,6] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,2,5,3,4,1,8,7] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,1,5,2,4,3,8,7] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,4,5,1,3,2,8,7] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,1,5,3,4,2,8,7] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,3,5,1,4,2,8,7] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,3,5,2,4,1,7,6] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,3,7,5,6,2,4,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,3,7,2,4,1,6,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,3,5,1,4,2,7,6] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,1,5,3,4,2,7,6] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,4,5,1,3,2,7,6] => 1010101 => [1,1,1,1,1,1,1] => 429
[2,1,8,4,5,3,7,6] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,6,7,4,5,1,3,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,6,7,1,5,3,4,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,6,7,3,5,1,4,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,3,7,5,6,1,4,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,5,7,3,6,1,4,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,3,7,4,6,2,5,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,3,7,4,6,1,5,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,3,7,1,6,4,5,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,1,7,3,6,4,5,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,1,7,5,6,3,4,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,4,7,5,6,1,3,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[2,1,8,4,7,5,6,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,1,7,3,4,2,6,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,1,7,3,6,2,5,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,3,7,1,6,2,5,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,3,7,2,6,4,5,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,2,7,3,6,4,5,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,2,7,3,6,1,5,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,2,7,1,6,3,5,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,1,7,2,4,3,6,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,1,3,2,7,4,6,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[2,1,8,3,7,4,6,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,1,5,2,4,3,7,6] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,2,7,1,4,3,6,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,2,7,3,4,1,6,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,2,7,5,6,3,4,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,4,7,5,6,2,3,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,4,7,2,3,1,6,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,2,3,1,7,4,6,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,2,3,1,5,4,7,6] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,2,3,1,8,5,7,6] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,1,3,2,8,6,7,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,6,7,2,3,1,5,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,2,3,1,7,5,6,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,5,7,2,6,3,4,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,5,7,2,6,1,4,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,2,7,5,6,1,4,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,6,7,2,5,1,4,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,6,7,1,5,2,4,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,6,7,1,3,2,5,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[2,1,8,6,7,3,5,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[2,1,8,3,7,5,6,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,1,3,2,7,5,6,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,1,7,5,6,2,4,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,1,7,2,6,4,5,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,2,7,1,6,4,5,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,2,7,4,6,1,5,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,2,7,4,6,3,5,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,4,7,2,6,3,5,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,4,7,2,6,1,5,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,4,7,1,6,2,5,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,1,7,4,6,2,5,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,5,7,1,6,2,4,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[2,1,8,5,7,3,6,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,5,7,4,6,1,3,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,5,7,1,6,3,4,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,1,7,4,6,3,5,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,4,7,1,6,3,5,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,4,7,3,6,1,5,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[2,4,8,3,6,1,7,5] => 0010101 => [2,1,1,1,1,1] => 297
[6,5,8,1,3,2,7,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,5,8,6,3,2,7,1] => 0011101 => [2,3,1,1] => 171
[6,5,8,7,3,1,2,4] => 1011100 => [1,1,3,2] => 171
[1,5,8,7,3,6,2,4] => 0011010 => [2,2,1,1,1] => 255
[1,7,2,8,4,6,5,3] => 0101011 => [1,1,1,1,1,2] => 297
[6,7,2,8,4,1,5,3] => 0101101 => [1,1,1,2,1,1] => 359
[3,6,2,8,4,5,7,1] => 0101001 => [1,1,1,1,2,1] => 345
[2,6,1,8,4,5,7,3] => 0101001 => [1,1,1,1,2,1] => 345
[2,8,4,6,1,5,7,3] => 0101001 => [1,1,1,1,2,1] => 345
[6,3,1,8,4,5,7,2] => 1101001 => [2,1,1,2,1] => 241
[3,1,6,8,4,5,7,2] => 1001001 => [1,2,1,2,1] => 281
[2,3,6,8,4,5,7,1] => 0001001 => [3,1,2,1] => 137
[6,3,7,8,4,1,5,2] => 1001101 => [1,2,2,1,1] => 295
[1,3,7,8,4,6,5,2] => 0001011 => [3,1,1,2] => 117
[1,5,7,8,2,4,6,3] => 0001001 => [3,1,2,1] => 137
[5,1,7,8,2,4,6,3] => 1001001 => [1,2,1,2,1] => 281
[3,6,7,8,4,2,5,1] => 0001101 => [3,2,1,1] => 145
[7,6,1,8,4,2,5,3] => 1101101 => [2,1,2,1,1] => 252
[5,6,8,7,3,2,1,4] => 0011110 => [2,4,1] => 81
[2,8,3,7,1,6,5,4] => 0101011 => [1,1,1,1,1,2] => 297
[5,2,8,7,3,6,1,4] => 1011010 => [1,1,2,1,1,1] => 359
[7,2,1,8,4,6,5,3] => 1101011 => [2,1,1,1,2] => 207
[3,2,7,8,4,6,5,1] => 1001011 => [1,2,1,1,2] => 241
[5,2,7,8,1,4,6,3] => 1001001 => [1,2,1,2,1] => 281
[1,2,7,8,5,4,6,3] => 0001101 => [3,2,1,1] => 145
[4,2,1,3,8,5,6,7] => 1100100 => [2,2,1,2] => 180
[7,2,5,8,3,4,6,1] => 1001001 => [1,2,1,2,1] => 281
[6,2,8,5,4,3,1,7] => 1011110 => [1,1,4,1] => 107
[2,8,3,5,4,1,6,7] => 0101100 => [1,1,1,2,2] => 255
[2,8,4,5,3,1,6,7] => 0101100 => [1,1,1,2,2] => 255
[6,4,8,5,2,3,1,7] => 1011010 => [1,1,2,1,1,1] => 359
[7,3,5,8,2,4,6,1] => 1001001 => [1,2,1,2,1] => 281
[4,3,1,2,8,5,6,7] => 1100100 => [2,2,1,2] => 180
[3,4,2,1,8,5,6,7] => 0110100 => [1,2,1,1,2] => 241
[2,7,6,8,4,3,5,1] => 0101101 => [1,1,1,2,1,1] => 359
[5,7,1,8,3,4,6,2] => 0101001 => [1,1,1,1,2,1] => 345
[3,7,5,8,1,4,6,2] => 0101001 => [1,1,1,1,2,1] => 345
[1,7,5,8,3,4,6,2] => 0101001 => [1,1,1,1,2,1] => 345
[1,6,8,5,4,3,2,7] => 0011110 => [2,4,1] => 81
[4,6,8,5,1,3,2,7] => 0011010 => [2,2,1,1,1] => 255
[5,6,8,1,4,3,2,7] => 0010110 => [2,1,1,2,1] => 241
[7,5,8,6,3,4,2,1] => 1011011 => [1,1,2,1,2] => 252
[2,4,8,3,6,5,1,7] => 0010110 => [2,1,1,2,1] => 241
[2,8,4,1,5,6,3,7] => 0110010 => [1,2,2,1,1] => 295
[4,1,8,3,5,6,2,7] => 1010010 => [1,1,1,2,1,1] => 359
[5,6,8,4,1,3,2,7] => 0011010 => [2,2,1,1,1] => 255
[4,6,8,1,5,3,2,7] => 0010110 => [2,1,1,2,1] => 241
[1,6,8,4,5,3,2,7] => 0010110 => [2,1,1,2,1] => 241
[1,7,3,8,5,4,6,2] => 0101101 => [1,1,1,2,1,1] => 359
[3,7,1,8,5,4,6,2] => 0101101 => [1,1,1,2,1,1] => 359
[2,7,3,8,4,6,5,1] => 0101011 => [1,1,1,1,1,2] => 297
[7,1,3,8,4,6,5,2] => 1001011 => [1,2,1,1,2] => 241
[5,7,8,4,3,6,1,2] => 0011010 => [2,2,1,1,1] => 255
[2,8,7,4,1,6,5,3] => 0111011 => [1,3,1,2] => 157
[2,8,5,4,3,1,6,7] => 0111100 => [1,4,2] => 81
[6,5,8,4,2,3,1,7] => 1011010 => [1,1,2,1,1,1] => 359
[4,1,3,2,8,5,6,7] => 1010100 => [1,1,1,1,1,2] => 297
[1,4,3,2,8,5,6,7] => 0110100 => [1,2,1,1,2] => 241
[7,3,2,8,5,4,6,1] => 1101101 => [2,1,2,1,1] => 252
[6,4,8,2,5,3,1,7] => 1010110 => [1,1,1,1,2,1] => 345
[2,8,4,3,5,1,6,7] => 0110100 => [1,2,1,1,2] => 241
[2,8,3,4,5,1,6,7] => 0100100 => [1,1,2,1,2] => 252
[6,2,8,4,5,3,1,7] => 1010110 => [1,1,1,1,2,1] => 345
[7,2,3,8,5,4,6,1] => 1001101 => [1,2,2,1,1] => 295
[4,2,3,1,8,5,6,7] => 1010100 => [1,1,1,1,1,2] => 297
[3,2,1,4,8,5,6,7] => 1100100 => [2,2,1,2] => 180
[5,1,3,2,4,8,6,7] => 1010010 => [1,1,1,2,1,1] => 359
[2,8,1,5,3,4,7,6] => 0101001 => [1,1,1,1,2,1] => 345
[1,2,8,4,5,3,7,6] => 0010101 => [2,1,1,1,1,1] => 297
[1,4,2,8,5,3,6,7] => 0101100 => [1,1,1,2,2] => 255
[1,8,4,2,5,3,6,7] => 0110100 => [1,2,1,1,2] => 241
[8,1,5,3,2,4,6,7] => 1011000 => [1,1,2,3] => 145
[3,8,1,5,2,4,6,7] => 0101000 => [1,1,1,1,3] => 165
[3,5,1,4,8,2,6,7] => 0100100 => [1,1,2,1,2] => 252
[1,5,2,8,4,3,6,7] => 0101100 => [1,1,1,2,2] => 255
[1,2,8,5,4,3,6,7] => 0011100 => [2,3,2] => 126
[1,2,5,4,3,8,6,7] => 0011010 => [2,2,1,1,1] => 255
[1,2,4,8,5,3,7,6] => 0001101 => [3,2,1,1] => 145
[1,2,7,4,8,5,3,6] => 0010110 => [2,1,1,2,1] => 241
[1,5,2,7,8,4,3,6] => 0100110 => [1,1,2,2,1] => 295
[5,1,2,7,4,8,3,6] => 1001010 => [1,2,1,1,1,1] => 345
[8,3,5,1,4,7,2,6] => 1010010 => [1,1,1,2,1,1] => 359
[2,8,1,5,4,7,3,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,2,8,5,7,4,3,6] => 0010110 => [2,1,1,2,1] => 241
[1,2,4,8,7,5,3,6] => 0001110 => [3,3,1] => 95
[2,8,1,4,3,7,6,5] => 0101011 => [1,1,1,1,1,2] => 297
[6,1,2,8,7,4,3,5] => 1001110 => [1,2,3,1] => 185
[6,4,1,2,8,7,3,5] => 1100110 => [2,2,2,1] => 211
[3,6,4,8,1,7,2,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[7,6,1,4,2,8,3,5] => 1101010 => [2,1,1,1,1,1] => 297
[7,1,6,2,8,4,3,5] => 1010110 => [1,1,1,1,2,1] => 345
[1,6,7,2,8,4,3,5] => 0010110 => [2,1,1,2,1] => 241
[6,7,1,4,2,8,3,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[6,3,7,1,4,8,2,5] => 1010010 => [1,1,1,2,1,1] => 359
[3,7,8,1,5,2,4,6] => 0010100 => [2,1,1,1,2] => 207
[7,1,2,8,5,3,4,6] => 1001100 => [1,2,2,2] => 211
[1,7,2,8,4,5,3,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,4,2,7,8,5,3,6] => 0100110 => [1,1,2,2,1] => 295
[6,1,2,8,4,3,7,5] => 1001101 => [1,2,2,1,1] => 295
[6,4,1,2,8,3,7,5] => 1100101 => [2,2,1,1,1] => 255
[7,6,1,3,2,4,8,5] => 1101001 => [2,1,1,2,1] => 241
[6,7,1,3,2,4,8,5] => 0101001 => [1,1,1,1,2,1] => 345
[1,2,7,3,5,8,4,6] => 0010010 => [2,1,2,1,1] => 252
[1,2,7,5,8,3,4,6] => 0010100 => [2,1,1,1,2] => 207
[5,8,1,3,7,2,4,6] => 0100100 => [1,1,2,1,2] => 252
[1,2,5,8,7,3,4,6] => 0001100 => [3,2,2] => 105
[1,2,5,8,3,7,4,6] => 0001010 => [3,1,1,1,1] => 165
[2,8,1,7,3,5,4,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[8,6,1,3,2,4,7,5] => 1101001 => [2,1,1,2,1] => 241
[4,2,8,1,7,3,6,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[2,8,1,7,4,3,6,5] => 0101101 => [1,1,1,2,1,1] => 359
[7,1,2,8,4,3,6,5] => 1001101 => [1,2,2,1,1] => 295
[1,2,8,4,7,5,3,6] => 0010110 => [2,1,1,2,1] => 241
[1,2,8,7,4,5,3,6] => 0011010 => [2,2,1,1,1] => 255
[2,8,1,7,5,3,4,6] => 0101100 => [1,1,1,2,2] => 255
[8,3,7,1,5,2,4,6] => 1010100 => [1,1,1,1,1,2] => 297
[3,8,6,1,4,7,2,5] => 0110010 => [1,2,2,1,1] => 295
[8,6,1,4,2,7,3,5] => 1101010 => [2,1,1,1,1,1] => 297
[8,1,6,2,7,4,3,5] => 1010110 => [1,1,1,1,2,1] => 345
[7,1,2,8,6,4,3,5] => 1001110 => [1,2,3,1] => 185
[7,4,1,2,8,6,3,5] => 1100110 => [2,2,2,1] => 211
[3,7,4,8,1,6,2,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,4,8,7,1,6,2,5] => 0011010 => [2,2,1,1,1] => 255
[4,2,8,1,7,6,3,5] => 1010110 => [1,1,1,1,2,1] => 345
[2,8,1,7,6,4,3,5] => 0101110 => [1,1,1,3,1] => 219
[7,8,3,4,1,5,2,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[7,8,3,4,1,6,2,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[6,8,3,4,1,7,2,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[6,7,3,4,1,8,2,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,7,3,4,1,8,2,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,8,3,4,1,7,2,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,8,3,4,1,6,2,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[6,8,3,4,1,5,2,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[6,7,3,4,1,5,2,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,7,3,4,1,6,2,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,6,2,8,3,4,1,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,6,2,7,3,4,1,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,6,2,8,3,5,1,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,7,3,5,1,6,2,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,8,3,5,1,6,2,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,8,3,5,1,7,2,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,7,3,5,1,8,2,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,6,2,3,1,7,4,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,6,2,4,1,8,3,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,6,2,4,1,7,3,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,6,2,5,1,7,3,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,6,2,5,1,8,3,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,5,1,8,3,7,2,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,5,1,7,3,8,2,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,6,2,7,3,8,1,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,6,2,7,3,8,1,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,6,2,7,4,8,1,3] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,6,3,8,4,7,1,2] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,6,2,8,4,7,1,3] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,6,2,8,3,7,1,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,6,2,8,3,7,1,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,5,1,7,3,6,2,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,5,1,8,3,6,2,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[9,2,1,3,4,5,6,7,8] => 11000000 => [2,6] => 28
[10,2,1,3,4,5,6,7,8,9] => 110000000 => [2,7] => 36
[9,2,3,1,4,5,6,7,8] => 10100000 => [1,1,1,5] => 110
[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] => 170
[3,2,4,5,6,7,8,9,10,1] => 100000001 => [1,7,1] => 65
[6,5,3,2,1,4,8,7] => 1111001 => [4,2,1] => 65
[4,6,3,5,2,1,8,7] => 0101101 => [1,1,1,2,1,1] => 359
[8,7,3,5,2,4,1,6] => 1101010 => [2,1,1,1,1,1] => 297
[6,8,2,4,5,7,3,1] => 0100011 => [1,1,3,2] => 171
[8,7,2,4,5,3,1,6] => 1100110 => [2,2,2,1] => 211
[3,6,1,4,5,2,8,7] => 0100101 => [1,1,2,1,1,1] => 359
[8,3,7,4,5,2,1,6] => 1010110 => [1,1,1,1,2,1] => 345
[6,3,8,4,5,7,2,1] => 1010011 => [1,1,1,2,2] => 255
[5,8,7,4,3,6,2,1] => 0111011 => [1,3,1,2] => 157
[2,8,7,4,3,6,1,5] => 0111010 => [1,3,1,1,1] => 219
[8,1,7,4,3,6,2,5] => 1011010 => [1,1,2,1,1,1] => 359
[8,7,3,5,1,4,2,6] => 1101010 => [2,1,1,1,1,1] => 297
[2,1,6,8,5,7,4,3] => 1001011 => [1,2,1,1,2] => 241
[6,8,3,5,1,7,4,2] => 0101011 => [1,1,1,1,1,2] => 297
[5,1,8,4,7,6,3,2] => 1010111 => [1,1,1,1,3] => 165
[2,5,8,4,7,6,3,1] => 0010111 => [2,1,1,3] => 117
[4,3,8,1,5,6,7,2] => 1010001 => [1,1,1,3,1] => 219
[4,8,1,3,5,6,7,2] => 0100001 => [1,1,4,1] => 107
[5,8,7,4,1,6,3,2] => 0111011 => [1,3,1,2] => 157
[5,8,3,6,1,4,7,2] => 0101001 => [1,1,1,1,2,1] => 345
[4,8,3,6,1,2,7,5] => 0101001 => [1,1,1,1,2,1] => 345
[3,8,7,4,1,6,2,5] => 0111010 => [1,3,1,1,1] => 219
[3,8,1,2,5,6,7,4] => 0100001 => [1,1,4,1] => 107
[8,7,1,4,2,6,3,5] => 1101010 => [2,1,1,1,1,1] => 297
[8,6,3,1,2,4,7,5] => 1110001 => [3,3,1] => 95
[8,1,7,4,5,2,3,6] => 1010100 => [1,1,1,1,1,2] => 297
[2,8,7,4,5,1,3,6] => 0110100 => [1,2,1,1,2] => 241
[8,7,2,4,1,6,3,5] => 1101010 => [2,1,1,1,1,1] => 297
[5,8,3,6,2,4,7,1] => 0101001 => [1,1,1,1,2,1] => 345
[8,6,3,2,1,4,7,5] => 1111001 => [4,2,1] => 65
[8,7,3,5,2,1,4,6] => 1101100 => [2,1,2,2] => 180
[5,8,3,6,2,1,7,4] => 0101101 => [1,1,1,2,1,1] => 359
[5,8,7,4,2,6,1,3] => 0111010 => [1,3,1,1,1] => 219
[2,6,8,4,5,7,1,3] => 0010010 => [2,1,2,1,1] => 252
[6,1,8,4,5,7,2,3] => 1010010 => [1,1,1,2,1,1] => 359
[6,8,3,5,1,7,2,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,1,5,8,3,6,7,4] => 1001001 => [1,2,1,2,1] => 281
[5,8,3,6,1,2,7,4] => 0101001 => [1,1,1,1,2,1] => 345
[4,1,8,2,5,6,7,3] => 1010001 => [1,1,1,3,1] => 219
[2,4,8,1,5,6,7,3] => 0010001 => [2,1,3,1] => 157
[4,8,2,1,5,6,7,3] => 0110001 => [1,2,3,1] => 185
[3,4,8,2,5,6,7,1] => 0010001 => [2,1,3,1] => 157
[5,8,1,4,7,6,2,3] => 0100110 => [1,1,2,2,1] => 295
[5,8,3,1,6,2,7,4] => 0110101 => [1,2,1,1,1,1] => 345
[4,5,3,8,6,1,7,2] => 0101101 => [1,1,1,2,1,1] => 359
[3,4,1,8,5,6,7,2] => 0101001 => [1,1,1,1,2,1] => 345
[2,4,6,8,10,1,3,5,7,9] => 000010000 => [4,1,4] => 251
[2,4,6,9,10,1,3,5,7,8] => 000010000 => [4,1,4] => 251
[2,4,7,8,10,1,3,5,6,9] => 000010000 => [4,1,4] => 251
[2,4,7,9,10,1,3,5,6,8] => 000010000 => [4,1,4] => 251
[2,4,8,9,10,1,3,5,6,7] => 000010000 => [4,1,4] => 251
[2,5,6,8,10,1,3,4,7,9] => 000010000 => [4,1,4] => 251
[2,5,6,9,10,1,3,4,7,8] => 000010000 => [4,1,4] => 251
[2,5,7,8,10,1,3,4,6,9] => 000010000 => [4,1,4] => 251
[2,5,7,9,10,1,3,4,6,8] => 000010000 => [4,1,4] => 251
[2,5,8,9,10,1,3,4,6,7] => 000010000 => [4,1,4] => 251
[2,6,7,8,10,1,3,4,5,9] => 000010000 => [4,1,4] => 251
[2,6,7,9,10,1,3,4,5,8] => 000010000 => [4,1,4] => 251
[2,6,8,9,10,1,3,4,5,7] => 000010000 => [4,1,4] => 251
[2,7,8,9,10,1,3,4,5,6] => 000010000 => [4,1,4] => 251
[3,4,6,8,10,1,2,5,7,9] => 000010000 => [4,1,4] => 251
[3,4,6,9,10,1,2,5,7,8] => 000010000 => [4,1,4] => 251
[3,4,7,8,10,1,2,5,6,9] => 000010000 => [4,1,4] => 251
[3,4,7,9,10,1,2,5,6,8] => 000010000 => [4,1,4] => 251
[3,4,8,9,10,1,2,5,6,7] => 000010000 => [4,1,4] => 251
[3,5,6,8,10,1,2,4,7,9] => 000010000 => [4,1,4] => 251
[3,5,6,9,10,1,2,4,7,8] => 000010000 => [4,1,4] => 251
[3,5,7,8,10,1,2,4,6,9] => 000010000 => [4,1,4] => 251
[3,5,7,9,10,1,2,4,6,8] => 000010000 => [4,1,4] => 251
[3,5,8,9,10,1,2,4,6,7] => 000010000 => [4,1,4] => 251
[3,6,7,8,10,1,2,4,5,9] => 000010000 => [4,1,4] => 251
[3,6,7,9,10,1,2,4,5,8] => 000010000 => [4,1,4] => 251
[3,6,8,9,10,1,2,4,5,7] => 000010000 => [4,1,4] => 251
[3,7,8,9,10,1,2,4,5,6] => 000010000 => [4,1,4] => 251
[4,5,6,8,10,1,2,3,7,9] => 000010000 => [4,1,4] => 251
[4,5,6,9,10,1,2,3,7,8] => 000010000 => [4,1,4] => 251
[4,5,7,8,10,1,2,3,6,9] => 000010000 => [4,1,4] => 251
[4,5,7,9,10,1,2,3,6,8] => 000010000 => [4,1,4] => 251
[4,5,8,9,10,1,2,3,6,7] => 000010000 => [4,1,4] => 251
[4,6,7,8,10,1,2,3,5,9] => 000010000 => [4,1,4] => 251
[4,6,7,9,10,1,2,3,5,8] => 000010000 => [4,1,4] => 251
[4,6,8,9,10,1,2,3,5,7] => 000010000 => [4,1,4] => 251
[4,7,8,9,10,1,2,3,5,6] => 000010000 => [4,1,4] => 251
[5,6,7,8,10,1,2,3,4,9] => 000010000 => [4,1,4] => 251
[5,6,7,9,10,1,2,3,4,8] => 000010000 => [4,1,4] => 251
[5,6,8,9,10,1,2,3,4,7] => 000010000 => [4,1,4] => 251
[5,7,8,9,10,1,2,3,4,6] => 000010000 => [4,1,4] => 251
[4,5,7,6,2,3,8,1] => 0011001 => [2,2,2,1] => 211
[3,5,7,2,6,4,8,1] => 0010101 => [2,1,1,1,1,1] => 297
[2,5,7,3,6,4,8,1] => 0010101 => [2,1,1,1,1,1] => 297
[1,5,7,3,6,8,4,2] => 0010011 => [2,1,2,2] => 180
[8,4,3,7,6,1,5,2] => 1101101 => [2,1,2,1,1] => 252
[6,7,2,3,5,4,8,1] => 0100101 => [1,1,2,1,1,1] => 359
[5,2,7,3,6,4,8,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,3,4,7,6,1,5,2] => 1001101 => [1,2,2,1,1] => 295
[8,2,4,7,1,6,5,3] => 1001011 => [1,2,1,1,2] => 241
[3,1,4,7,6,8,5,2] => 1001011 => [1,2,1,1,2] => 241
[4,1,3,7,6,8,5,2] => 1001011 => [1,2,1,1,2] => 241
[5,1,7,3,6,8,4,2] => 1010011 => [1,1,1,2,2] => 255
[6,7,1,3,5,8,4,2] => 0100011 => [1,1,3,2] => 171
[5,8,7,3,6,1,4,2] => 0110101 => [1,2,1,1,1,1] => 345
[4,8,3,7,6,1,5,2] => 0101101 => [1,1,1,2,1,1] => 359
[3,8,4,7,6,1,5,2] => 0101101 => [1,1,1,2,1,1] => 359
[2,8,4,7,1,6,5,3] => 0101011 => [1,1,1,1,1,2] => 297
[8,1,4,7,2,6,5,3] => 1001011 => [1,2,1,1,2] => 241
[8,1,3,2,7,6,5,4] => 1010111 => [1,1,1,1,3] => 165
[2,8,3,1,7,6,5,4] => 0110111 => [1,2,1,3] => 137
[3,8,2,1,7,6,5,4] => 0110111 => [1,2,1,3] => 137
[6,7,1,2,8,5,4,3] => 0100111 => [1,1,2,3] => 145
[8,2,3,1,7,6,5,4] => 1010111 => [1,1,1,1,3] => 165
[8,3,2,1,7,6,5,4] => 1110111 => [3,1,3] => 69
[3,4,1,7,6,8,5,2] => 0101011 => [1,1,1,1,1,2] => 297
[1,4,2,7,8,6,5,3] => 0100111 => [1,1,2,3] => 145
[8,4,2,7,1,6,5,3] => 1101011 => [2,1,1,1,2] => 207
[8,5,7,2,1,6,4,3] => 1011011 => [1,1,2,1,2] => 252
[1,5,7,2,8,6,4,3] => 0010111 => [2,1,1,3] => 117
[2,5,7,1,8,6,4,3] => 0010111 => [2,1,1,3] => 117
[3,5,7,1,6,8,4,2] => 0010011 => [2,1,2,2] => 180
[6,7,4,5,8,1,3,2] => 0100101 => [1,1,2,1,1,1] => 359
[5,4,7,6,8,1,3,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[2,5,7,8,1,6,4,3] => 0001011 => [3,1,1,2] => 117
[1,5,7,8,2,6,4,3] => 0001011 => [3,1,1,2] => 117
[8,5,7,1,2,6,4,3] => 1010011 => [1,1,1,2,2] => 255
[8,4,1,7,2,6,5,3] => 1101011 => [2,1,1,1,2] => 207
[1,4,8,7,2,6,5,3] => 0011011 => [2,2,1,2] => 180
[3,4,8,7,6,1,5,2] => 0011101 => [2,3,1,1] => 171
[4,3,8,7,6,1,5,2] => 1011101 => [1,1,3,1,1] => 233
[5,3,7,8,6,1,4,2] => 1001101 => [1,2,2,1,1] => 295
[6,7,2,8,1,5,4,3] => 0101011 => [1,1,1,1,1,2] => 297
[5,2,7,8,1,6,4,3] => 1001011 => [1,2,1,1,2] => 241
[4,2,8,7,1,6,5,3] => 1011011 => [1,1,2,1,2] => 252
[3,2,8,1,7,6,5,4] => 1010111 => [1,1,1,1,3] => 165
[1,3,8,2,7,6,5,4] => 0010111 => [2,1,1,3] => 117
[8,3,1,2,7,6,5,4] => 1100111 => [2,2,3] => 105
[8,2,1,3,7,6,5,4] => 1100111 => [2,2,3] => 105
[1,2,8,3,7,6,5,4] => 0010111 => [2,1,1,3] => 117
[2,1,8,3,7,6,5,4] => 1010111 => [1,1,1,1,3] => 165
[4,1,8,7,2,6,5,3] => 1011011 => [1,1,2,1,2] => 252
[5,1,7,8,2,6,4,3] => 1001011 => [1,2,1,1,2] => 241
[6,7,1,8,2,5,4,3] => 0101011 => [1,1,1,1,1,2] => 297
[5,8,7,1,2,6,4,3] => 0110011 => [1,2,2,2] => 211
[4,8,1,7,2,6,5,3] => 0101011 => [1,1,1,1,1,2] => 297
[3,8,1,2,7,6,5,4] => 0100111 => [1,1,2,3] => 145
[2,8,1,3,7,6,5,4] => 0100111 => [1,1,2,3] => 145
[1,8,2,3,7,6,5,4] => 0100111 => [1,1,2,3] => 145
[8,1,2,3,7,6,5,4] => 1000111 => [1,3,3] => 95
[3,1,4,5,6,7,8,9,10,2] => 100000001 => [1,7,1] => 65
[10,3,4,5,6,7,8,1,2,9] => 100000100 => [1,5,1,2] => 534
[10,1,4,5,6,7,8,9,2,3] => 100000010 => [1,6,1,1] => 254
[2,10,4,5,6,7,8,1,3,9] => 010000100 => [1,1,4,1,2] => 1304
[8,3,4,5,6,7,1,10,2,9] => 100001010 => [1,4,1,1,1,1] => 1529
[3,1,10,5,6,7,8,9,2,4] => 101000010 => [1,1,1,4,1,1] => 1754
[9,1,4,5,6,7,8,2,10,3] => 100000101 => [1,5,1,1,1] => 704
[6,7,1,8,4,5,2,3] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,7,1,5,8,2,6,4] => 0100101 => [1,1,2,1,1,1] => 359
[2,7,1,5,8,3,6,4] => 0100101 => [1,1,2,1,1,1] => 359
[2,6,5,1,8,3,7,4] => 0110101 => [1,2,1,1,1,1] => 345
[3,6,5,1,8,2,7,4] => 0110101 => [1,2,1,1,1,1] => 345
[4,6,5,1,8,7,2,3] => 0110110 => [1,2,1,2,1] => 281
[5,6,4,1,8,7,2,3] => 0110110 => [1,2,1,2,1] => 281
[8,1,4,5,7,6,2,3] => 1000110 => [1,3,2,1] => 185
[6,4,5,1,8,7,2,3] => 1010110 => [1,1,1,1,2,1] => 345
[5,4,6,1,8,7,2,3] => 1010110 => [1,1,1,1,2,1] => 345
[4,5,6,1,8,7,2,3] => 0010110 => [2,1,1,2,1] => 241
[3,5,6,1,8,2,7,4] => 0010101 => [2,1,1,1,1,1] => 297
[2,5,6,1,8,3,7,4] => 0010101 => [2,1,1,1,1,1] => 297
[2,4,6,1,3,8,7,5] => 0010011 => [2,1,2,2] => 180
[3,4,6,1,2,8,7,5] => 0010011 => [2,1,2,2] => 180
[4,3,6,1,2,8,7,5] => 1010011 => [1,1,1,2,2] => 255
[5,3,6,1,8,2,7,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,3,1,5,8,2,6,4] => 1100101 => [2,2,1,1,1] => 255
[8,1,3,5,7,2,6,4] => 1000101 => [1,3,1,1,1] => 219
[8,1,2,5,7,3,6,4] => 1000101 => [1,3,1,1,1] => 219
[7,2,1,5,8,3,6,4] => 1100101 => [2,2,1,1,1] => 255
[6,2,5,1,8,3,7,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,2,6,1,3,8,7,5] => 1010011 => [1,1,1,2,2] => 255
[2,3,6,1,4,8,7,5] => 0010011 => [2,1,2,2] => 180
[4,2,5,3,1,8,7,6] => 1011011 => [1,1,2,1,2] => 252
[6,2,4,1,3,8,7,5] => 1010011 => [1,1,1,2,2] => 255
[7,2,1,4,3,8,6,5] => 1101011 => [2,1,1,1,2] => 207
[8,1,2,4,3,7,6,5] => 1001011 => [1,2,1,1,2] => 241
[8,1,3,4,2,7,6,5] => 1001011 => [1,2,1,1,2] => 241
[7,3,1,4,2,8,6,5] => 1101011 => [2,1,1,1,2] => 207
[6,3,4,1,2,8,7,5] => 1010011 => [1,1,1,2,2] => 255
[4,6,3,1,2,8,7,5] => 0110011 => [1,2,2,2] => 211
[3,6,4,1,2,8,7,5] => 0110011 => [1,2,2,2] => 211
[2,6,4,1,3,8,7,5] => 0110011 => [1,2,2,2] => 211
[2,7,1,4,3,8,6,5] => 0101011 => [1,1,1,1,1,2] => 297
[3,7,1,4,2,8,6,5] => 0101011 => [1,1,1,1,1,2] => 297
[4,7,1,3,2,8,6,5] => 0101011 => [1,1,1,1,1,2] => 297
[8,1,6,7,2,3,5,4] => 1001001 => [1,2,1,2,1] => 281
[4,7,1,2,3,8,6,5] => 0100011 => [1,1,3,2] => 171
[3,7,1,2,4,8,6,5] => 0100011 => [1,1,3,2] => 171
[2,7,1,3,4,8,6,5] => 0100011 => [1,1,3,2] => 171
[2,6,3,1,4,8,7,5] => 0110011 => [1,2,2,2] => 211
[3,6,2,1,4,8,7,5] => 0110011 => [1,2,2,2] => 211
[5,6,2,1,8,3,7,4] => 0110101 => [1,2,1,1,1,1] => 345
[6,5,2,1,8,3,7,4] => 1110101 => [3,1,1,1,1] => 165
[8,1,5,2,7,3,6,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,1,4,2,3,7,6,5] => 1010011 => [1,1,1,2,2] => 255
[7,4,1,2,3,8,6,5] => 1100011 => [2,3,2] => 126
[6,4,2,1,3,8,7,5] => 1110011 => [3,2,2] => 105
[5,4,2,3,1,8,7,6] => 1101011 => [2,1,1,1,2] => 207
[3,5,2,4,1,8,7,6] => 0101011 => [1,1,1,1,1,2] => 297
[6,3,2,1,4,8,7,5] => 1110011 => [3,2,2] => 105
[7,3,1,2,4,8,6,5] => 1100011 => [2,3,2] => 126
[8,1,3,2,4,7,6,5] => 1010011 => [1,1,1,2,2] => 255
[8,1,2,3,4,7,6,5] => 1000011 => [1,4,2] => 81
[7,2,1,3,4,8,6,5] => 1100011 => [2,3,2] => 126
[6,2,3,1,4,8,7,5] => 1010011 => [1,1,1,2,2] => 255
[2,4,3,6,1,5,8,7] => 0101001 => [1,1,1,1,2,1] => 345
[2,4,3,6,5,8,1,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,4,6,3,5,8,7,1] => 0010011 => [2,1,2,2] => 180
[2,4,6,3,5,8,1,7] => 0010010 => [2,1,2,1,1] => 252
[2,4,6,3,5,1,8,7] => 0010101 => [2,1,1,1,1,1] => 297
[2,4,6,3,1,5,8,7] => 0011001 => [2,2,2,1] => 211
[2,4,1,6,5,3,8,7] => 0101101 => [1,1,1,2,1,1] => 359
[2,4,6,1,5,3,8,7] => 0010101 => [2,1,1,1,1,1] => 297
[4,2,6,5,3,1,8,7] => 1011101 => [1,1,3,1,1] => 233
[4,2,6,5,1,3,8,7] => 1011001 => [1,1,2,2,1] => 295
[4,2,6,5,1,8,7,3] => 1011011 => [1,1,2,1,2] => 252
[4,2,6,5,8,1,7,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,2,6,5,8,1,3,7] => 1010100 => [1,1,1,1,1,2] => 297
[4,2,6,5,8,3,1,7] => 1010110 => [1,1,1,1,2,1] => 345
[2,4,6,1,5,8,3,7] => 0010010 => [2,1,2,1,1] => 252
[2,4,1,6,5,8,3,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,1,4,6,5,8,3,7] => 1001010 => [1,2,1,1,1,1] => 345
[2,4,1,6,5,8,7,3] => 0101011 => [1,1,1,1,1,2] => 297
[2,4,6,1,5,8,7,3] => 0010011 => [2,1,2,2] => 180
[4,2,6,5,3,8,7,1] => 1011011 => [1,1,2,1,2] => 252
[4,2,6,5,8,3,7,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[2,6,4,3,8,7,1,5] => 0110110 => [1,2,1,2,1] => 281
[2,6,4,3,8,7,5,1] => 0110111 => [1,2,1,3] => 137
[4,2,6,8,5,3,7,1] => 1001101 => [1,2,2,1,1] => 295
[2,4,6,8,1,5,7,3] => 0001001 => [3,1,2,1] => 137
[2,4,6,1,8,5,7,3] => 0010101 => [2,1,1,1,1,1] => 297
[2,4,1,6,8,5,7,3] => 0100101 => [1,1,2,1,1,1] => 359
[2,1,4,6,8,5,7,3] => 1000101 => [1,3,1,1,1] => 219
[2,1,4,6,8,5,3,7] => 1000110 => [1,3,2,1] => 185
[2,4,1,6,8,5,3,7] => 0100110 => [1,1,2,2,1] => 295
[2,4,6,1,8,5,3,7] => 0010110 => [2,1,1,2,1] => 241
[2,4,6,8,1,5,3,7] => 0001010 => [3,1,1,1,1] => 165
[4,2,6,8,5,3,1,7] => 1001110 => [1,2,3,1] => 185
[4,2,6,8,5,1,3,7] => 1001100 => [1,2,2,2] => 211
[4,2,6,8,5,1,7,3] => 1001101 => [1,2,2,1,1] => 295
[2,4,6,8,3,5,7,1] => 0001001 => [3,1,2,1] => 137
[2,4,6,8,3,5,1,7] => 0001010 => [3,1,1,1,1] => 165
[2,4,6,8,3,1,5,7] => 0001100 => [3,2,2] => 105
[2,4,6,3,1,8,5,7] => 0011010 => [2,2,1,1,1] => 255
[2,4,6,3,8,1,5,7] => 0010100 => [2,1,1,1,2] => 207
[2,4,6,3,8,5,1,7] => 0010110 => [2,1,1,2,1] => 241
[2,4,6,3,8,5,7,1] => 0010101 => [2,1,1,1,1,1] => 297
[2,4,3,6,8,5,7,1] => 0100101 => [1,1,2,1,1,1] => 359
[2,4,3,6,8,5,1,7] => 0100110 => [1,1,2,2,1] => 295
[2,4,3,6,8,1,5,7] => 0100100 => [1,1,2,1,2] => 252
[2,4,3,6,1,8,5,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,4,3,1,6,8,5,7] => 0110010 => [1,2,2,1,1] => 295
[2,4,1,3,6,8,7,5] => 0100011 => [1,1,3,2] => 171
[2,4,3,6,1,8,7,5] => 0101011 => [1,1,1,1,1,2] => 297
[2,4,3,6,8,1,7,5] => 0100101 => [1,1,2,1,1,1] => 359
[4,6,5,2,8,7,3,1] => 0110111 => [1,2,1,3] => 137
[4,6,5,2,8,7,1,3] => 0110110 => [1,2,1,2,1] => 281
[4,6,2,5,8,7,1,3] => 0100110 => [1,1,2,2,1] => 295
[4,6,2,5,8,7,3,1] => 0100111 => [1,1,2,3] => 145
[2,4,6,3,8,1,7,5] => 0010101 => [2,1,1,1,1,1] => 297
[2,4,6,3,1,8,7,5] => 0011011 => [2,2,1,2] => 180
[2,4,1,6,3,8,7,5] => 0101011 => [1,1,1,1,1,2] => 297
[2,1,4,6,3,8,7,5] => 1001011 => [1,2,1,1,2] => 241
[2,1,4,6,8,3,7,5] => 1000101 => [1,3,1,1,1] => 219
[2,4,1,6,8,3,7,5] => 0100101 => [1,1,2,1,1,1] => 359
[2,4,6,1,8,3,7,5] => 0010101 => [2,1,1,1,1,1] => 297
[2,4,6,8,1,3,7,5] => 0001001 => [3,1,2,1] => 137
[2,4,6,8,3,1,7,5] => 0001101 => [3,2,1,1] => 145
[4,6,2,8,5,7,3,1] => 0101011 => [1,1,1,1,1,2] => 297
[4,6,2,8,5,7,1,3] => 0101010 => [1,1,1,1,1,1,1] => 429
[6,2,4,8,7,1,3,5] => 1001100 => [1,2,2,2] => 211
[6,4,2,8,7,5,3,1] => 1101111 => [2,1,4] => 55
[2,6,4,8,1,7,5,3] => 0101011 => [1,1,1,1,1,2] => 297
[2,6,4,1,8,7,5,3] => 0110111 => [1,2,1,3] => 137
[2,6,1,4,8,7,5,3] => 0100111 => [1,1,2,3] => 145
[2,1,6,4,8,7,5,3] => 1010111 => [1,1,1,1,3] => 165
[2,1,6,4,8,7,3,5] => 1010110 => [1,1,1,1,2,1] => 345
[2,6,1,4,8,7,3,5] => 0100110 => [1,1,2,2,1] => 295
[2,6,4,1,8,7,3,5] => 0110110 => [1,2,1,2,1] => 281
[2,6,4,8,1,7,3,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[6,4,2,8,7,5,1,3] => 1101110 => [2,1,3,1] => 157
[6,2,4,8,7,3,5,1] => 1001101 => [1,2,2,1,1] => 295
[6,2,4,8,7,3,1,5] => 1001110 => [1,2,3,1] => 185
[1,6,4,7,3,8,2,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,3,7,4,5,8,2,6] => 0010010 => [2,1,2,1,1] => 252
[5,2,4,7,3,6,8,1] => 1001001 => [1,2,1,2,1] => 281
[1,7,6,3,4,8,2,5] => 0110010 => [1,2,2,1,1] => 295
[8,1,6,3,7,2,4,5] => 1010100 => [1,1,1,1,1,2] => 297
[7,1,6,3,8,2,4,5] => 1010100 => [1,1,1,1,1,2] => 297
[1,2,7,4,8,3,5,6] => 0010100 => [2,1,1,1,2] => 207
[6,1,7,3,4,8,2,5] => 1010010 => [1,1,1,2,1,1] => 359
[2,1,7,4,5,8,3,6] => 1010010 => [1,1,1,2,1,1] => 359
[5,1,4,7,3,8,2,6] => 1001010 => [1,2,1,1,1,1] => 345
[4,3,1,7,5,8,2,6] => 1101010 => [2,1,1,1,1,1] => 297
[2,8,6,3,7,1,4,5] => 0110100 => [1,2,1,1,2] => 241
[6,8,1,3,7,2,4,5] => 0100100 => [1,1,2,1,2] => 252
[5,8,2,1,7,3,4,6] => 0110100 => [1,2,1,1,2] => 241
[5,7,2,1,8,3,4,6] => 0110100 => [1,2,1,1,2] => 241
[6,7,1,3,8,2,4,5] => 0100100 => [1,1,2,1,2] => 252
[5,1,2,4,8,3,6,7] => 1000100 => [1,3,1,2] => 157
[4,3,6,1,5,8,2,7] => 1010010 => [1,1,1,2,1,1] => 359
[2,6,1,4,5,8,3,7] => 0100010 => [1,1,3,1,1] => 233
[6,5,1,3,4,8,2,7] => 1100010 => [2,3,1,1] => 171
[1,6,2,4,8,3,5,7] => 0100100 => [1,1,2,1,2] => 252
[8,5,1,3,7,2,4,6] => 1100100 => [2,2,1,2] => 180
[1,5,3,2,8,4,6,7] => 0110100 => [1,2,1,1,2] => 241
[6,4,2,1,5,8,3,7] => 1110010 => [3,2,1,1] => 145
[2,5,3,4,1,8,6,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,3,5,2,1,8,6,7] => 1011010 => [1,1,2,1,1,1] => 359
[2,6,4,8,7,1,3,5] => 0101100 => [1,1,1,2,2] => 255
[1,6,4,8,7,2,3,5] => 0101100 => [1,1,1,2,2] => 255
[2,7,8,3,6,1,4,5] => 0010100 => [2,1,1,1,2] => 207
[4,3,2,8,7,1,5,6] => 1101100 => [2,1,2,2] => 180
[5,2,4,8,7,1,3,6] => 1001100 => [1,2,2,2] => 211
[6,2,8,3,7,1,4,5] => 1010100 => [1,1,1,1,1,2] => 297
[5,1,4,8,7,2,3,6] => 1001100 => [1,2,2,2] => 211
[4,8,2,5,1,3,7,6] => 0101001 => [1,1,1,1,2,1] => 345
[4,7,2,5,1,3,8,6] => 0101001 => [1,1,1,1,2,1] => 345
[3,7,2,1,5,4,8,6] => 0110101 => [1,2,1,1,1,1] => 345
[3,8,2,1,5,4,7,6] => 0110101 => [1,2,1,1,1,1] => 345
[8,3,2,1,5,4,6,7] => 1110100 => [3,1,1,2] => 117
[8,3,2,1,6,4,5,7] => 1110100 => [3,1,1,2] => 117
[8,4,2,5,1,6,3,7] => 1101010 => [2,1,1,1,1,1] => 297
[8,3,2,1,5,6,4,7] => 1110010 => [3,2,1,1] => 145
[8,3,2,1,4,6,5,7] => 1110010 => [3,2,1,1] => 145
[3,8,2,1,4,5,7,6] => 0110001 => [1,2,3,1] => 185
[3,7,2,1,4,5,8,6] => 0110001 => [1,2,3,1] => 185
[3,2,7,1,4,6,8,5] => 1010001 => [1,1,1,3,1] => 219
[3,2,8,1,4,6,7,5] => 1010001 => [1,1,1,3,1] => 219
[3,2,8,1,4,7,6,5] => 1010011 => [1,1,1,2,2] => 255
[3,8,2,1,4,7,5,6] => 0110010 => [1,2,2,1,1] => 295
[3,8,2,1,5,7,4,6] => 0110010 => [1,2,2,1,1] => 295
[4,8,2,5,1,7,3,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,7,2,5,1,8,3,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,7,2,1,5,8,4,6] => 0110010 => [1,2,2,1,1] => 295
[3,7,2,1,4,8,5,6] => 0110010 => [1,2,2,1,1] => 295
[3,2,1,7,5,8,6,4] => 1101011 => [2,1,1,1,2] => 207
[3,2,7,1,6,8,4,5] => 1010010 => [1,1,1,2,1,1] => 359
[4,2,7,6,1,8,3,5] => 1011010 => [1,1,2,1,1,1] => 359
[4,3,7,6,8,1,2,5] => 1010100 => [1,1,1,1,1,2] => 297
[4,3,8,6,7,1,2,5] => 1010100 => [1,1,1,1,1,2] => 297
[4,2,8,6,1,7,3,5] => 1011010 => [1,1,2,1,1,1] => 359
[3,2,8,1,6,7,4,5] => 1010010 => [1,1,1,2,1,1] => 359
[3,2,1,8,7,5,6,4] => 1101101 => [2,1,2,1,1] => 252
[3,8,2,1,7,4,5,6] => 0110100 => [1,2,1,1,2] => 241
[3,2,8,1,7,4,6,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[3,2,8,1,6,4,7,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[3,2,7,1,6,4,8,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,2,7,6,1,3,8,5] => 1011001 => [1,1,2,2,1] => 295
[4,2,8,6,1,3,7,5] => 1011001 => [1,1,2,2,1] => 295
[4,2,8,7,1,3,6,5] => 1011001 => [1,1,2,2,1] => 295
[5,7,8,3,4,1,2,6] => 0010100 => [2,1,1,1,2] => 207
[4,2,7,8,1,3,6,5] => 1001001 => [1,2,1,2,1] => 281
[4,2,6,8,1,3,7,5] => 1001001 => [1,2,1,2,1] => 281
[4,2,6,7,1,3,8,5] => 1001001 => [1,2,1,2,1] => 281
[3,2,6,1,8,4,7,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[3,7,2,1,8,4,5,6] => 0110100 => [1,2,1,1,2] => 241
[3,7,2,1,8,5,4,6] => 0110110 => [1,2,1,2,1] => 281
[4,7,3,8,5,1,2,6] => 0101100 => [1,1,1,2,2] => 255
[4,3,7,8,6,1,2,5] => 1001100 => [1,2,2,2] => 211
[3,2,7,1,8,6,4,5] => 1010110 => [1,1,1,1,2,1] => 345
[3,2,1,6,8,5,7,4] => 1100101 => [2,2,1,1,1] => 255
[3,2,6,1,8,7,4,5] => 1010110 => [1,1,1,1,2,1] => 345
[4,2,6,8,1,7,3,5] => 1001010 => [1,2,1,1,1,1] => 345
[4,3,6,8,7,1,2,5] => 1001100 => [1,2,2,2] => 211
[4,2,6,7,1,8,3,5] => 1001010 => [1,2,1,1,1,1] => 345
[3,2,6,1,7,8,4,5] => 1010010 => [1,1,1,2,1,1] => 359
[3,4,6,8,7,5,1,2] => 0001110 => [3,3,1] => 95
[5,3,6,4,8,7,1,2] => 1010110 => [1,1,1,1,2,1] => 345
[1,4,6,2,7,8,5,3] => 0010011 => [2,1,2,2] => 180
[3,1,8,5,4,2,6,7] => 1011100 => [1,1,3,2] => 171
[1,2,7,5,4,8,6,3] => 0011011 => [2,2,1,2] => 180
[6,3,7,5,4,8,1,2] => 1011010 => [1,1,2,1,1,1] => 359
[7,3,8,5,4,6,1,2] => 1011010 => [1,1,2,1,1,1] => 359
[3,8,7,5,4,6,1,2] => 0111010 => [1,3,1,1,1] => 219
[4,3,6,7,8,5,1,2] => 1000110 => [1,3,2,1] => 185
[4,5,6,3,8,7,1,2] => 0010110 => [2,1,1,2,1] => 241
[3,6,8,5,4,7,1,2] => 0011010 => [2,2,1,1,1] => 255
[6,8,3,5,4,7,1,2] => 0101010 => [1,1,1,1,1,1,1] => 429
[7,6,3,5,4,8,1,2] => 1101010 => [2,1,1,1,1,1] => 297
[1,6,2,5,4,8,7,3] => 0101011 => [1,1,1,1,1,2] => 297
[7,1,2,5,8,3,6,4] => 1000101 => [1,3,1,1,1] => 219
[1,8,2,5,7,3,6,4] => 0100101 => [1,1,2,1,1,1] => 359
[6,2,1,5,4,8,7,3] => 1101011 => [2,1,1,1,2] => 207
[4,1,6,2,8,7,5,3] => 1010111 => [1,1,1,1,3] => 165
[7,8,1,2,4,6,5,3] => 0100011 => [1,1,3,2] => 171
[7,8,3,1,4,2,6,5] => 0110101 => [1,2,1,1,1,1] => 345
[4,3,6,1,8,2,7,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[2,3,8,5,4,1,6,7] => 0011100 => [2,3,2] => 126
[4,8,1,5,2,3,7,6] => 0101001 => [1,1,1,1,2,1] => 345
[7,5,1,6,4,3,2,8] => 1101110 => [2,1,3,1] => 157
[5,8,1,6,4,3,2,7] => 0101110 => [1,1,1,3,1] => 219
[6,1,5,7,4,3,2,8] => 1001110 => [1,2,3,1] => 185
[1,5,8,6,4,3,2,7] => 0011110 => [2,4,1] => 81
[3,4,6,1,5,8,2,7] => 0010010 => [2,1,2,1,1] => 252
[7,8,4,1,5,3,2,6] => 0110110 => [1,2,1,2,1] => 281
[7,8,5,1,6,3,2,4] => 0110110 => [1,2,1,2,1] => 281
[2,6,1,5,7,3,8,4] => 0100101 => [1,1,2,1,1,1] => 359
[1,6,8,7,4,3,2,5] => 0011110 => [2,4,1] => 81
[6,8,1,7,4,3,2,5] => 0101110 => [1,1,1,3,1] => 219
[5,6,1,7,4,3,2,8] => 0101110 => [1,1,1,3,1] => 219
[5,1,7,6,4,3,2,8] => 1011110 => [1,1,4,1] => 107
[6,1,7,8,4,3,2,5] => 1001110 => [1,2,3,1] => 185
[7,1,8,6,4,3,2,5] => 1011110 => [1,1,4,1] => 107
[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] => 429
[3,1,6,7,5,8,2,4] => 1001010 => [1,2,1,1,1,1] => 345
[7,8,1,6,5,3,2,4] => 0101110 => [1,1,1,3,1] => 219
[7,8,2,1,4,5,6,3] => 0110001 => [1,2,3,1] => 185
[2,8,1,5,4,6,7,3] => 0101001 => [1,1,1,1,2,1] => 345
[7,2,1,5,4,6,8,3] => 1101001 => [2,1,1,2,1] => 241
[1,2,8,5,6,3,7,4] => 0010101 => [2,1,1,1,1,1] => 297
[6,1,2,5,7,3,8,4] => 1000101 => [1,3,1,1,1] => 219
[4,2,1,5,6,3,7,8] => 1100100 => [2,2,1,2] => 180
[4,3,6,1,5,7,2,8] => 1010010 => [1,1,1,2,1,1] => 359
[5,1,6,3,7,8,2,4] => 1010010 => [1,1,1,2,1,1] => 359
[1,3,6,8,5,7,2,4] => 0001010 => [3,1,1,1,1] => 165
[2,4,6,3,7,1,8,5] => 0010101 => [2,1,1,1,1,1] => 297
[1,3,6,4,8,7,2,5] => 0010110 => [2,1,1,2,1] => 241
[4,1,6,7,3,8,2,5] => 1001010 => [1,2,1,1,1,1] => 345
[5,4,6,1,3,7,2,8] => 1010010 => [1,1,1,2,1,1] => 359
[6,4,1,5,2,3,7,8] => 1101000 => [2,1,1,3] => 117
[4,1,7,5,2,3,8,6] => 1011001 => [1,1,2,2,1] => 295
[1,2,4,5,8,3,7,6] => 0000101 => [4,1,1,1] => 75
[7,2,3,5,4,1,8,6] => 1001101 => [1,2,2,1,1] => 295
[2,8,3,5,4,1,7,6] => 0101101 => [1,1,1,2,1,1] => 359
[4,2,6,3,8,1,7,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,8,2,3,4,1,6,5] => 0100101 => [1,1,2,1,1,1] => 359
[7,8,1,4,6,3,2,5] => 0100110 => [1,1,2,2,1] => 295
[3,1,6,4,7,8,2,5] => 1010010 => [1,1,1,2,1,1] => 359
[1,8,5,7,4,3,2,6] => 0101110 => [1,1,1,3,1] => 219
[7,1,5,8,4,3,2,6] => 1001110 => [1,2,3,1] => 185
[5,1,8,7,4,3,2,6] => 1011110 => [1,1,4,1] => 107
[6,5,1,8,4,3,2,7] => 1101110 => [2,1,3,1] => 157
[6,5,7,1,4,3,2,8] => 1010110 => [1,1,1,1,2,1] => 345
[7,5,8,1,4,3,2,6] => 1010110 => [1,1,1,1,2,1] => 345
[5,8,7,1,4,3,2,6] => 0110110 => [1,2,1,2,1] => 281
[1,5,7,8,4,3,2,6] => 0001110 => [3,3,1] => 95
[2,4,7,5,1,3,8,6] => 0011001 => [2,2,2,1] => 211
[7,8,4,6,1,3,2,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[7,8,5,4,1,3,2,6] => 0111010 => [1,3,1,1,1] => 219
[3,5,6,4,1,8,2,7] => 0011010 => [2,2,1,1,1] => 255
[2,6,4,5,1,3,8,7] => 0101001 => [1,1,1,1,2,1] => 345
[1,6,5,8,4,3,2,7] => 0101110 => [1,1,1,3,1] => 219
[6,8,5,1,4,3,2,7] => 0110110 => [1,2,1,2,1] => 281
[7,6,5,1,4,3,2,8] => 1110110 => [3,1,2,1] => 137
[1,2,3,4,5,6,9,7,8] => 00000010 => [6,1,1] => 35
[1,2,3,4,5,8,6,9,7] => 00000101 => [5,1,1,1] => 110
[1,2,3,4,7,5,8,9,6] => 00001001 => [4,1,2,1] => 235
[1,2,3,6,4,7,8,9,5] => 00010001 => [3,1,3,1] => 332
[1,2,5,3,6,7,8,9,4] => 00100001 => [2,1,4,1] => 303
[1,4,2,5,6,7,8,9,3] => 01000001 => [1,1,5,1] => 170
[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] => 83
[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] => 125
[9,6,7,8,1,2,3,4,5] => 10010000 => [1,2,1,4] => 235
[8,9,6,7,1,2,3,4,5] => 01010000 => [1,1,1,1,4] => 275
[9,8,6,7,1,2,3,4,5] => 11010000 => [2,1,1,4] => 200
[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] => 332
[8,9,5,6,7,1,2,3,4] => 01001000 => [1,1,2,1,3] => 502
[9,8,5,6,7,1,2,3,4] => 11001000 => [2,2,1,3] => 365
[9,7,8,5,6,1,2,3,4] => 10101000 => [1,1,1,1,1,3] => 572
[9,8,7,5,6,1,2,3,4] => 11101000 => [3,1,1,3] => 242
[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] => 623
[9,7,8,4,5,6,1,2,3] => 10100100 => [1,1,1,2,1,2] => 875
[9,8,7,4,5,6,1,2,3] => 11100100 => [3,2,1,2] => 371
[8,9,6,7,4,5,1,2,3] => 01010100 => [1,1,1,1,1,1,2] => 1001
[9,8,6,7,4,5,1,2,3] => 11010100 => [2,1,1,1,1,2] => 704
[9,8,7,6,4,5,1,2,3] => 11110100 => [4,1,1,2] => 200
[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] => 1430
[9,8,7,5,6,3,4,1,2] => 11101010 => [3,1,1,1,1,1] => 572
[9,8,7,6,5,3,4,1,2] => 11111010 => [5,1,1,1] => 110
[9,8,7,6,5,4,3,1,2] => 11111110 => [7,1] => 8
[9,10,1,2,3,4,5,6,7,8] => 010000000 => [1,1,7] => 44
[8,9,10,1,2,3,4,5,6,7] => 001000000 => [2,1,6] => 119
[10,8,9,1,2,3,4,5,6,7] => 101000000 => [1,1,1,6] => 154
[10,9,8,1,2,3,4,5,6,7] => 111000000 => [3,6] => 84
[7,8,9,10,1,2,3,4,5,6] => 000100000 => [3,1,5] => 209
[10,7,8,9,1,2,3,4,5,6] => 100100000 => [1,2,1,5] => 375
[9,10,7,8,1,2,3,4,5,6] => 010100000 => [1,1,1,1,5] => 429
[10,9,7,8,1,2,3,4,5,6] => 110100000 => [2,1,1,5] => 319
[10,9,8,7,1,2,3,4,5,6] => 111100000 => [4,5] => 126
[10,6,7,8,9,1,2,3,4,5] => 100010000 => [1,3,1,4] => 626
[9,10,6,7,8,1,2,3,4,5] => 010010000 => [1,1,2,1,4] => 901
[10,9,6,7,8,1,2,3,4,5] => 110010000 => [2,2,1,4] => 666
[10,8,9,6,7,1,2,3,4,5] => 101010000 => [1,1,1,1,1,4] => 1001
[10,9,8,6,7,1,2,3,4,5] => 111010000 => [3,1,1,4] => 451
[10,9,8,7,6,1,2,3,4,5] => 111110000 => [5,4] => 126
[9,10,5,6,7,8,1,2,3,4] => 010001000 => [1,1,3,1,3] => 1330
[10,9,5,6,7,8,1,2,3,4] => 110001000 => [2,3,1,3] => 998
[8,9,10,5,6,7,1,2,3,4] => 001001000 => [2,1,2,1,3] => 1304
[10,9,8,5,6,7,1,2,3,4] => 111001000 => [3,2,1,3] => 802
[9,10,7,8,5,6,1,2,3,4] => 010101000 => [1,1,1,1,1,1,3] => 2002
[10,9,7,8,5,6,1,2,3,4] => 110101000 => [2,1,1,1,1,3] => 1430
[10,9,8,7,5,6,1,2,3,4] => 111101000 => [4,1,1,3] => 451
[10,9,8,7,6,5,1,2,3,4] => 111111000 => [6,3] => 84
[10,7,8,9,4,5,6,1,2,3] => 100100100 => [1,2,1,2,1,2] => 2550
[9,10,7,8,4,5,6,1,2,3] => 010100100 => [1,1,1,1,2,1,2] => 3054
[10,9,7,8,4,5,6,1,2,3] => 110100100 => [2,1,1,2,1,2] => 2179
[10,9,8,7,4,5,6,1,2,3] => 111100100 => [4,2,1,2] => 681
[10,8,9,6,7,4,5,1,2,3] => 101010100 => [1,1,1,1,1,1,1,2] => 3432
[10,9,8,6,7,4,5,1,2,3] => 111010100 => [3,1,1,1,1,2] => 1430
[10,9,8,7,6,4,5,1,2,3] => 111110100 => [5,1,1,2] => 319
[10,9,8,7,6,5,4,1,2,3] => 111111100 => [7,2] => 36
[9,10,7,8,5,6,3,4,1,2] => 010101010 => [1,1,1,1,1,1,1,1,1] => 4862
[10,9,7,8,5,6,3,4,1,2] => 110101010 => [2,1,1,1,1,1,1,1] => 3432
[10,9,8,7,5,6,3,4,1,2] => 111101010 => [4,1,1,1,1,1] => 1001
[10,9,8,7,6,5,3,4,1,2] => 111111010 => [6,1,1,1] => 154
[10,9,8,7,6,5,4,3,1,2] => 111111110 => [8,1] => 9
[3,4,6,2,7,1,5,8] => 0010100 => [2,1,1,1,2] => 207
[3,6,2,5,4,1,7,8] => 0101100 => [1,1,1,2,2] => 255
[3,2,7,5,4,1,6,8] => 1011100 => [1,1,3,2] => 171
[4,3,6,2,8,1,5,7] => 1010100 => [1,1,1,1,1,2] => 297
[6,1,2,5,4,7,8,3] => 1001001 => [1,2,1,2,1] => 281
[6,2,4,5,1,3,7,8] => 1001000 => [1,2,1,3] => 137
[4,2,8,5,1,3,7,6] => 1011001 => [1,1,2,2,1] => 295
[4,3,6,8,1,7,2,5] => 1001010 => [1,2,1,1,1,1] => 345
[5,3,6,4,1,7,2,8] => 1011010 => [1,1,2,1,1,1] => 359
[6,2,1,5,8,3,7,4] => 1100101 => [2,2,1,1,1] => 255
[1,6,7,4,8,3,5,2] => 0010101 => [2,1,1,1,1,1] => 297
[1,4,6,3,7,5,8,2] => 0010101 => [2,1,1,1,1,1] => 297
[4,6,7,2,5,8,1,3] => 0010010 => [2,1,2,1,1] => 252
[2,4,6,1,7,5,3,8] => 0010110 => [2,1,1,2,1] => 241
[2,7,5,4,1,6,3,8] => 0111010 => [1,3,1,1,1] => 219
[7,5,4,6,2,8,1,3] => 1101010 => [2,1,1,1,1,1] => 297
[1,7,5,4,3,8,6,2] => 0111011 => [1,3,1,2] => 157
[1,4,6,3,5,8,7,2] => 0010011 => [2,1,2,2] => 180
[1,5,8,4,3,6,7,2] => 0011001 => [2,2,2,1] => 211
[5,4,6,2,7,8,1,3] => 1010010 => [1,1,1,2,1,1] => 359
[2,5,4,1,6,7,3,8] => 0110010 => [1,2,2,1,1] => 295
[5,6,3,2,7,1,4,8] => 0110100 => [1,2,1,1,2] => 241
[5,6,3,2,7,1,8,4] => 0110101 => [1,2,1,1,1,1] => 345
[8,5,6,3,2,7,1,4] => 1011010 => [1,1,2,1,1,1] => 359
[5,4,6,2,8,1,7,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[2,4,1,7,8,5,3,6] => 0100110 => [1,1,2,2,1] => 295
[2,5,4,1,6,3,8,7] => 0110101 => [1,2,1,1,1,1] => 345
[5,6,3,2,1,8,4,7] => 0111010 => [1,3,1,1,1] => 219
[3,5,2,1,6,4,7,8] => 0110100 => [1,2,1,1,2] => 241
[6,8,4,3,2,1,5,7] => 0111100 => [1,4,2] => 81
[5,3,8,2,1,6,4,7] => 1011010 => [1,1,2,1,1,1] => 359
[3,7,5,8,2,1,4,6] => 0101100 => [1,1,1,2,2] => 255
[7,3,2,8,5,1,6,4] => 1101101 => [2,1,2,1,1] => 252
[8,4,6,3,2,1,7,5] => 1011101 => [1,1,3,1,1] => 233
[8,6,4,3,2,1,7,5] => 1111101 => [5,1,1] => 27
[7,6,4,3,2,1,8,5] => 1111101 => [5,1,1] => 27
[7,8,4,3,2,1,6,5] => 0111101 => [1,4,1,1] => 107
[5,4,7,2,1,8,6,3] => 1011011 => [1,1,2,1,2] => 252
[7,5,8,3,2,6,1,4] => 1011010 => [1,1,2,1,1,1] => 359
[5,7,3,2,1,6,8,4] => 0111001 => [1,3,2,1] => 185
[5,7,3,2,1,6,4,8] => 0111010 => [1,3,1,1,1] => 219
[6,3,7,2,5,1,8,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,7,8,3,5,2,1,4] => 0010110 => [2,1,1,2,1] => 241
[6,2,5,7,8,4,1,3] => 1000110 => [1,3,2,1] => 185
[2,1,5,7,8,6,3,4] => 1000110 => [1,3,2,1] => 185
[3,6,7,2,8,1,4,5] => 0010100 => [2,1,1,1,2] => 207
[6,3,7,2,8,1,4,5] => 1010100 => [1,1,1,1,1,2] => 297
[3,2,6,1,7,4,5,8] => 1010100 => [1,1,1,1,1,2] => 297
[3,5,2,1,4,7,6,8] => 0110010 => [1,2,2,1,1] => 295
[7,3,5,2,1,8,4,6] => 1011010 => [1,1,2,1,1,1] => 359
[2,5,4,1,3,7,8,6] => 0110001 => [1,2,3,1] => 185
[2,5,8,4,1,3,7,6] => 0011001 => [2,2,2,1] => 211
[2,4,1,7,8,3,6,5] => 0100101 => [1,1,2,1,1,1] => 359
[3,7,2,8,6,1,4,5] => 0101100 => [1,1,1,2,2] => 255
[3,6,8,2,1,7,4,5] => 0011010 => [2,2,1,1,1] => 255
[5,3,8,2,1,4,7,6] => 1011001 => [1,1,2,2,1] => 295
[4,8,7,3,2,1,5,6] => 0111100 => [1,4,2] => 81
[4,7,3,2,1,5,6,8] => 0111000 => [1,3,3] => 95
[8,4,7,3,2,1,5,6] => 1011100 => [1,1,3,2] => 171
[8,3,5,2,1,4,7,6] => 1011001 => [1,1,2,2,1] => 295
[7,3,2,8,6,1,4,5] => 1101100 => [2,1,2,2] => 180
[3,5,2,1,4,6,8,7] => 0110001 => [1,2,3,1] => 185
[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
[8,9,7,6,5,4,3,2,1,10] => 011111110 => [1,7,1] => 65
[7,6,8,5,4,3,2,1,9] => 10111110 => [1,1,5,1] => 170
[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] => 110
[1,7,9,8,6,5,4,3,2] => 00111111 => [2,6] => 28
[1,9,10,8,7,6,5,4,3,2] => 001111111 => [2,7] => 36
[7,8,3,5,4,6,1,2] => 0101010 => [1,1,1,1,1,1,1] => 429
[8,6,3,7,5,2,4,1] => 1101101 => [2,1,2,1,1] => 252
[5,4,1,6,3,2,8,7] => 1101101 => [2,1,2,1,1] => 252
[5,4,1,6,2,3,8,7] => 1101001 => [2,1,1,2,1] => 241
[5,7,1,6,2,8,3,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,7,1,6,2,8,4,3] => 0101011 => [1,1,1,1,1,2] => 297
[2,7,6,5,1,8,3,4] => 0111010 => [1,3,1,1,1] => 219
[2,7,6,5,1,8,4,3] => 0111011 => [1,3,1,2] => 157
[2,3,6,5,1,4,8,7] => 0011001 => [2,2,2,1] => 211
[2,3,6,4,1,5,8,7] => 0011001 => [2,2,2,1] => 211
[2,3,6,1,5,4,8,7] => 0010101 => [2,1,1,1,1,1] => 297
[2,7,6,1,4,8,5,3] => 0110011 => [1,2,2,2] => 211
[2,7,6,1,4,8,3,5] => 0110010 => [1,2,2,1,1] => 295
[7,3,5,1,8,4,2,6] => 1010110 => [1,1,1,1,2,1] => 345
[7,3,5,1,8,6,4,2] => 1010111 => [1,1,1,1,3] => 165
[2,7,6,1,5,8,4,3] => 0110011 => [1,2,2,2] => 211
[2,7,6,4,1,8,5,3] => 0111011 => [1,3,1,2] => 157
[2,1,7,6,3,8,5,4] => 1011011 => [1,1,2,1,2] => 252
[2,1,7,6,3,8,4,5] => 1011010 => [1,1,2,1,1,1] => 359
[5,7,3,6,2,8,4,1] => 0101011 => [1,1,1,1,1,2] => 297
[2,7,6,4,1,8,3,5] => 0111010 => [1,3,1,1,1] => 219
[7,3,5,1,8,6,2,4] => 1010110 => [1,1,1,1,2,1] => 345
[6,3,5,1,8,2,4,7] => 1010100 => [1,1,1,1,1,2] => 297
[2,3,4,8,7,6,1,5] => 0001110 => [3,3,1] => 95
[2,3,4,8,5,7,1,6] => 0001010 => [3,1,1,1,1] => 165
[7,3,5,4,8,1,2,6] => 1010100 => [1,1,1,1,1,2] => 297
[6,4,3,5,8,7,2,1] => 1100111 => [2,2,3] => 105
[2,1,4,5,8,7,3,6] => 1000110 => [1,3,2,1] => 185
[6,4,3,5,8,7,1,2] => 1100110 => [2,2,2,1] => 211
[7,3,5,4,8,1,6,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[2,3,4,8,7,5,6,1] => 0001101 => [3,2,1,1] => 145
[2,3,4,8,7,5,1,6] => 0001110 => [3,3,1] => 95
[2,7,6,5,4,8,1,3] => 0111010 => [1,3,1,1,1] => 219
[7,3,5,6,8,4,1,2] => 1000110 => [1,3,2,1] => 185
[7,3,5,6,8,1,4,2] => 1000101 => [1,3,1,1,1] => 219
[7,3,5,6,8,1,2,4] => 1000100 => [1,3,1,2] => 157
[6,4,1,5,8,7,2,3] => 1100110 => [2,2,2,1] => 211
[6,4,1,5,8,7,3,2] => 1100111 => [2,2,3] => 105
[6,4,1,5,8,3,7,2] => 1100101 => [2,2,1,1,1] => 255
[5,7,1,6,3,8,2,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[6,4,1,5,8,3,2,7] => 1100110 => [2,2,2,1] => 211
[7,4,1,5,8,2,3,6] => 1100100 => [2,2,1,2] => 180
[7,4,1,5,8,2,6,3] => 1100101 => [2,2,1,1,1] => 255
[6,3,5,7,8,2,1,4] => 1000110 => [1,3,2,1] => 185
[6,3,5,7,8,2,4,1] => 1000101 => [1,3,1,1,1] => 219
[2,7,6,4,5,8,3,1] => 0110011 => [1,2,2,2] => 211
[5,7,3,6,1,8,4,2] => 0101011 => [1,1,1,1,1,2] => 297
[2,1,4,5,8,6,3,7] => 1000110 => [1,3,2,1] => 185
[7,3,5,4,8,6,2,1] => 1010111 => [1,1,1,1,3] => 165
[2,3,4,8,5,6,1,7] => 0001010 => [3,1,1,1,1] => 165
[2,3,4,8,7,1,6,5] => 0001101 => [3,2,1,1] => 145
[2,3,4,8,1,7,6,5] => 0001011 => [3,1,1,2] => 117
[2,3,4,8,1,6,7,5] => 0001001 => [3,1,2,1] => 137
[2,3,4,8,5,1,7,6] => 0001101 => [3,2,1,1] => 145
[6,3,5,4,8,2,7,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,4,3,5,8,2,1,6] => 1100110 => [2,2,2,1] => 211
[2,1,4,5,8,3,7,6] => 1000101 => [1,3,1,1,1] => 219
[7,4,3,5,8,2,6,1] => 1100101 => [2,2,1,1,1] => 255
[6,3,5,4,8,2,1,7] => 1010110 => [1,1,1,1,2,1] => 345
[2,3,4,8,5,1,6,7] => 0001100 => [3,2,2] => 105
[2,3,4,8,1,6,5,7] => 0001010 => [3,1,1,1,1] => 165
[2,3,4,8,1,5,7,6] => 0001001 => [3,1,2,1] => 137
[7,8,2,6,1,5,3,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[7,8,1,6,2,5,3,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,8,6,7,2,5,3,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,8,5,7,2,6,3,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,8,1,7,2,6,3,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,8,2,7,1,6,3,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,8,6,7,1,5,3,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,8,5,7,1,6,3,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,8,1,7,5,6,3,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,8,2,7,5,6,3,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,8,2,7,4,6,3,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,8,1,7,4,6,3,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,8,4,7,1,6,3,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,8,2,7,1,6,3,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,8,1,7,2,6,3,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,8,4,7,2,6,3,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,8,1,7,5,6,2,3] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,8,4,7,5,6,2,3] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,8,3,7,5,6,2,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,8,1,7,5,6,2,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,8,1,7,4,6,2,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,8,3,7,4,6,2,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,8,3,7,2,6,4,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,8,1,7,2,6,4,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,8,2,7,1,6,4,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,8,2,7,4,6,1,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,8,2,7,5,6,1,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,8,2,7,5,6,1,3] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,8,3,7,5,6,1,2] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,8,4,7,5,6,1,2] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,8,4,7,5,6,1,3] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,8,3,7,5,6,1,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,8,3,7,4,6,1,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,8,3,7,1,6,4,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,8,1,7,3,6,4,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[7,5,2,8,6,4,1,3] => 1101110 => [2,1,3,1] => 157
[7,5,1,8,6,2,3,4] => 1101100 => [2,1,2,2] => 180
[7,4,8,6,1,5,2,3] => 1011010 => [1,1,2,1,1,1] => 359
[7,1,8,4,5,2,6,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,8,1,7,4,2,5,3] => 0101101 => [1,1,1,2,1,1] => 359
[1,6,7,4,2,8,5,3] => 0011011 => [2,2,1,2] => 180
[1,6,7,3,8,5,2,4] => 0010110 => [2,1,1,2,1] => 241
[7,1,8,3,5,6,2,4] => 1010010 => [1,1,1,2,1,1] => 359
[7,3,8,6,2,5,1,4] => 1011010 => [1,1,2,1,1,1] => 359
[7,4,2,8,6,1,3,5] => 1101100 => [2,1,2,2] => 180
[7,3,1,8,4,2,5,6] => 1101100 => [2,1,2,2] => 180
[7,2,8,4,1,5,3,6] => 1011010 => [1,1,2,1,1,1] => 359
[7,2,8,3,5,1,6,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,2,8,3,4,6,1,5] => 1010010 => [1,1,1,2,1,1] => 359
[1,5,7,8,2,6,3,4] => 0001010 => [3,1,1,1,1] => 165
[6,2,3,8,5,7,4,1] => 1001011 => [1,2,1,1,2] => 241
[6,2,4,8,5,3,1,7] => 1001110 => [1,2,3,1] => 185
[6,3,1,4,8,5,2,7] => 1100110 => [2,2,2,1] => 211
[2,6,3,7,8,5,4,1] => 0100111 => [1,1,2,3] => 145
[2,6,3,7,8,4,5,1] => 0100101 => [1,1,2,1,1,1] => 359
[2,4,7,3,5,6,8,1] => 0010001 => [2,1,3,1] => 157
[2,4,7,3,6,8,5,1] => 0010011 => [2,1,2,2] => 180
[2,5,3,7,8,1,6,4] => 0100101 => [1,1,2,1,1,1] => 359
[3,1,5,4,7,8,2,6] => 1010010 => [1,1,1,2,1,1] => 359
[5,3,1,4,8,2,6,7] => 1100100 => [2,2,1,2] => 180
[5,2,4,8,6,1,3,7] => 1001100 => [1,2,2,2] => 211
[5,2,3,8,4,6,7,1] => 1001001 => [1,2,1,2,1] => 281
[4,8,2,3,6,1,7,5] => 0100101 => [1,1,2,1,1,1] => 359
[4,8,2,3,5,7,1,6] => 0100010 => [1,1,3,1,1] => 233
[1,4,7,8,3,6,2,5] => 0001010 => [3,1,1,1,1] => 165
[4,8,1,3,6,7,2,5] => 0100010 => [1,1,3,1,1] => 233
[5,3,8,2,4,7,1,6] => 1010010 => [1,1,1,2,1,1] => 359
[5,4,3,8,1,2,7,6] => 1101001 => [2,1,1,2,1] => 241
[6,4,2,8,1,3,7,5] => 1101001 => [2,1,1,2,1] => 241
[6,3,8,2,5,1,7,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,3,8,1,4,7,2,5] => 1010010 => [1,1,1,2,1,1] => 359
[5,8,1,3,6,2,7,4] => 0100101 => [1,1,2,1,1,1] => 359
[1,5,7,4,2,6,8,3] => 0011001 => [2,2,2,1] => 211
[5,8,1,4,2,6,3,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,8,4,1,2,7,6,3] => 0110011 => [1,2,2,2] => 211
[6,5,1,2,8,7,3,4] => 1100110 => [2,2,2,1] => 211
[6,5,3,1,4,2,8,7] => 1110101 => [3,1,1,1,1] => 165
[5,3,1,6,4,2,7,8] => 1101100 => [2,1,2,2] => 180
[5,2,6,4,1,7,3,8] => 1011010 => [1,1,2,1,1,1] => 359
[4,6,1,7,5,2,8,3] => 0101101 => [1,1,1,2,1,1] => 359
[4,5,1,7,2,6,3,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,5,6,1,2,8,7,4] => 0010011 => [2,1,2,2] => 180
[3,5,7,1,8,6,2,4] => 0010110 => [2,1,1,2,1] => 241
[3,6,2,7,5,1,8,4] => 0101101 => [1,1,1,2,1,1] => 359
[4,2,5,7,1,8,6,3] => 1001011 => [1,2,1,1,2] => 241
[3,4,7,2,8,6,1,5] => 0010110 => [2,1,1,2,1] => 241
[3,4,5,8,2,7,1,6] => 0001010 => [3,1,1,1,1] => 165
[3,4,6,2,8,1,5,7] => 0010100 => [2,1,1,1,2] => 207
[3,5,2,6,8,1,7,4] => 0100101 => [1,1,2,1,1,1] => 359
[4,2,5,6,1,3,8,7] => 1001001 => [1,2,1,2,1] => 281
[4,3,1,2,5,6,8,7] => 1100001 => [2,4,1] => 81
[5,3,6,8,4,7,2,1] => 1001011 => [1,2,1,1,2] => 241
[3,7,2,5,4,8,6,1] => 0101011 => [1,1,1,1,1,2] => 297
[8,4,2,5,7,3,6,1] => 1100101 => [2,2,1,1,1] => 255
[3,1,6,5,4,8,2,7] => 1011010 => [1,1,2,1,1,1] => 359
[4,1,6,5,8,3,2,7] => 1010110 => [1,1,1,1,2,1] => 345
[5,1,6,8,4,3,2,7] => 1001110 => [1,2,3,1] => 185
[8,5,4,7,6,3,2,1] => 1101111 => [2,1,4] => 55
[2,7,1,5,4,3,8,6] => 0101101 => [1,1,1,2,1,1] => 359
[8,2,1,5,4,3,7,6] => 1101101 => [2,1,2,1,1] => 252
[8,4,1,5,7,3,2,6] => 1100110 => [2,2,2,1] => 211
[8,4,6,1,7,3,2,5] => 1010110 => [1,1,1,1,2,1] => 345
[8,3,6,1,4,7,2,5] => 1010010 => [1,1,1,2,1,1] => 359
[2,7,6,1,4,3,8,5] => 0110101 => [1,2,1,1,1,1] => 345
[6,7,8,5,1,3,2,4] => 0011010 => [2,2,1,1,1] => 255
[5,7,2,8,4,3,6,1] => 0101101 => [1,1,1,2,1,1] => 359
[6,7,8,2,4,3,5,1] => 0010101 => [2,1,1,1,1,1] => 297
[4,7,6,2,8,3,5,1] => 0110101 => [1,2,1,1,1,1] => 345
[8,3,6,2,4,7,5,1] => 1010011 => [1,1,1,2,2] => 255
[3,7,6,2,4,8,5,1] => 0110011 => [1,2,2,2] => 211
[5,7,3,8,4,6,2,1] => 0101011 => [1,1,1,1,1,2] => 297
[4,7,3,5,8,6,2,1] => 0100111 => [1,1,2,3] => 145
[8,7,2,1,4,3,6,5] => 1110101 => [3,1,1,1,1] => 165
[8,7,3,1,4,6,2,5] => 1110010 => [3,2,1,1] => 145
[8,7,6,3,2,5,4,1] => 1111011 => [4,1,2] => 55
[8,7,3,5,1,6,2,4] => 1101010 => [2,1,1,1,1,1] => 297
[8,7,2,5,1,3,6,4] => 1101001 => [2,1,1,2,1] => 241
[8,4,6,5,7,1,2,3] => 1010100 => [1,1,1,1,1,2] => 297
[4,7,6,5,8,1,2,3] => 0110100 => [1,2,1,1,2] => 241
[3,7,6,5,1,8,2,4] => 0111010 => [1,3,1,1,1] => 219
[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] => 35
[9,1,2,3,4,5,6,7,8,10] => 100000000 => [1,8] => 9
[7,8,1,2,3,4,5,6,9] => 01000000 => [1,1,6] => 35
[1,8,9,2,3,4,5,6,7] => 00100000 => [2,1,5] => 83
[1,10,2,3,4,5,6,7,8,9] => 010000000 => [1,1,7] => 44
[8,9,1,2,3,4,5,6,7,10] => 010000000 => [1,1,7] => 44
[7,1,8,2,3,4,5,6,9] => 10100000 => [1,1,1,5] => 110
[6,8,1,2,3,4,5,7,9] => 01000000 => [1,1,6] => 35
[1,8,2,9,3,4,5,6,7] => 01010000 => [1,1,1,1,4] => 275
[1,7,9,2,3,4,5,6,8] => 00100000 => [2,1,5] => 83
[1,9,10,2,3,4,5,6,7,8] => 001000000 => [2,1,6] => 119
[3,6,4,8,7,5,1,2] => 0101110 => [1,1,1,3,1] => 219
[5,6,4,3,8,7,1,2] => 0110110 => [1,2,1,2,1] => 281
[1,6,2,4,7,8,5,3] => 0100011 => [1,1,3,2] => 171
[3,6,2,4,8,1,5,7] => 0100100 => [1,1,2,1,2] => 252
[3,4,7,2,8,1,6,5] => 0010101 => [2,1,1,1,1,1] => 297
[1,4,7,2,5,8,6,3] => 0010011 => [2,1,2,2] => 180
[7,3,8,4,5,6,1,2] => 1010010 => [1,1,1,2,1,1] => 359
[3,5,6,4,8,7,1,2] => 0010110 => [2,1,1,2,1] => 241
[4,6,8,5,3,7,1,2] => 0011010 => [2,2,1,1,1] => 255
[6,8,5,3,4,7,1,2] => 0110010 => [1,2,2,1,1] => 295
[1,6,5,4,2,8,7,3] => 0111011 => [1,3,1,2] => 157
[1,8,5,2,7,3,6,4] => 0110101 => [1,2,1,1,1,1] => 345
[4,2,7,5,1,8,6,3] => 1011011 => [1,1,2,1,2] => 252
[7,8,1,4,2,6,5,3] => 0101011 => [1,1,1,1,1,2] => 297
[1,3,6,4,8,2,5,7] => 0010100 => [2,1,1,1,2] => 207
[4,1,7,5,3,2,6,8] => 1011100 => [1,1,3,2] => 171
[6,5,1,3,4,2,8,7] => 1100101 => [2,2,1,1,1] => 255
[4,8,5,3,1,7,2,6] => 0111010 => [1,3,1,1,1] => 219
[7,4,5,3,2,8,1,6] => 1011010 => [1,1,2,1,1,1] => 359
[5,8,3,6,1,4,2,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,5,8,6,4,1,3,7] => 0011100 => [2,3,2] => 126
[1,4,6,2,5,8,3,7] => 0010010 => [2,1,2,1,1] => 252
[3,6,2,5,8,1,7,4] => 0100101 => [1,1,2,1,1,1] => 359
[1,6,8,7,4,2,3,5] => 0011100 => [2,3,2] => 126
[6,1,7,8,2,4,3,5] => 1001010 => [1,2,1,1,1,1] => 345
[7,1,8,6,3,4,2,5] => 1011010 => [1,1,2,1,1,1] => 359
[7,2,1,4,5,6,8,3] => 1100001 => [2,4,1] => 81
[1,2,8,3,6,5,7,4] => 0010101 => [2,1,1,1,1,1] => 297
[6,1,3,2,7,5,8,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[1,6,3,8,5,7,2,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,6,4,1,7,5,8,3] => 0110101 => [1,2,1,1,1,1] => 345
[7,6,5,8,1,4,2,3] => 1101010 => [2,1,1,1,1,1] => 297
[5,8,6,7,3,2,1,4] => 0101110 => [1,1,1,3,1] => 219
[1,6,4,3,7,2,8,5] => 0110101 => [1,2,1,1,1,1] => 345
[2,6,3,4,8,7,1,5] => 0100110 => [1,1,2,2,1] => 295
[7,1,3,4,5,2,8,6] => 1000101 => [1,3,1,1,1] => 219
[1,8,3,5,4,2,7,6] => 0101101 => [1,1,1,2,1,1] => 359
[4,1,6,3,8,2,7,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,8,2,4,6,3,1,5] => 0100110 => [1,1,2,2,1] => 295
[3,2,6,4,7,8,1,5] => 1010010 => [1,1,1,2,1,1] => 359
[2,8,5,7,4,3,1,6] => 0101110 => [1,1,1,3,1] => 219
[7,2,5,8,3,4,1,6] => 1001010 => [1,2,1,1,1,1] => 345
[5,3,8,7,1,2,6,4] => 1011001 => [1,1,2,2,1] => 295
[6,5,3,8,2,1,7,4] => 1101101 => [2,1,2,1,1] => 252
[7,5,8,4,1,2,3,6] => 1011000 => [1,1,2,3] => 145
[5,8,7,4,1,3,2,6] => 0111010 => [1,3,1,1,1] => 219
[3,5,7,8,4,1,2,6] => 0001100 => [3,2,2] => 105
[1,4,7,5,3,8,2,6] => 0011010 => [2,2,1,1,1] => 255
[2,4,6,7,3,1,8,5] => 0001101 => [3,2,1,1] => 145
[7,8,4,6,3,1,2,5] => 0101100 => [1,1,1,2,2] => 255
[2,6,4,5,3,8,1,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,6,5,8,4,2,1,7] => 0101110 => [1,1,1,3,1] => 219
[5,6,8,4,2,3,1,7] => 0011010 => [2,2,1,1,1] => 255
[6,8,5,4,3,1,2,7] => 0111100 => [1,4,2] => 81
[6,1,4,2,8,5,7,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,8,6,5,3,2,7,1] => 0111101 => [1,4,1,1] => 107
[8,6,5,1,2,4,7,3] => 1110001 => [3,3,1] => 95
[6,7,5,8,2,1,4,3] => 0101101 => [1,1,1,2,1,1] => 359
[1,7,5,8,2,6,4,3] => 0101011 => [1,1,1,1,1,2] => 297
[1,3,8,5,7,6,2,4] => 0010110 => [2,1,1,2,1] => 241
[6,3,8,5,7,1,2,4] => 1010100 => [1,1,1,1,1,2] => 297
[8,3,1,5,6,2,7,4] => 1100101 => [2,2,1,1,1] => 255
[6,8,5,2,1,4,7,3] => 0111001 => [1,3,2,1] => 185
[3,8,2,5,6,1,7,4] => 0100101 => [1,1,2,1,1,1] => 359
[2,8,1,5,6,3,7,4] => 0100101 => [1,1,2,1,1,1] => 359
[8,1,2,5,6,3,7,4] => 1000101 => [1,3,1,1,1] => 219
[1,8,2,5,7,6,3,4] => 0100110 => [1,1,2,2,1] => 295
[5,1,8,6,2,7,3,4] => 1011010 => [1,1,2,1,1,1] => 359
[2,5,8,6,1,7,3,4] => 0011010 => [2,2,1,1,1] => 255
[8,6,1,5,7,2,3,4] => 1100100 => [2,2,1,2] => 180
[3,8,6,5,7,1,2,4] => 0110100 => [1,2,1,1,2] => 241
[7,6,5,8,1,2,4,3] => 1101001 => [2,1,1,2,1] => 241
[5,1,7,6,8,4,2,3] => 1010110 => [1,1,1,1,2,1] => 345
[5,1,3,7,8,6,2,4] => 1000110 => [1,3,2,1] => 185
[7,2,5,8,1,6,4,3] => 1001011 => [1,2,1,1,2] => 241
[3,2,8,5,7,6,1,4] => 1010110 => [1,1,1,1,2,1] => 345
[8,2,1,5,7,6,3,4] => 1100110 => [2,2,2,1] => 211
[5,2,8,6,1,7,3,4] => 1011010 => [1,1,2,1,1,1] => 359
[1,2,8,6,5,7,3,4] => 0011010 => [2,2,1,1,1] => 255
[4,2,1,3,6,7,8,5] => 1100001 => [2,4,1] => 81
[8,2,5,6,3,7,1,4] => 1001010 => [1,2,1,1,1,1] => 345
[7,2,6,5,4,1,8,3] => 1011101 => [1,1,3,1,1] => 233
[6,1,3,5,4,7,8,2] => 1001001 => [1,2,1,2,1] => 281
[6,1,5,3,4,7,8,2] => 1010001 => [1,1,1,3,1] => 219
[7,5,6,2,4,1,8,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,5,2,6,3,7,1,4] => 1101010 => [2,1,1,1,1,1] => 297
[4,3,1,2,6,7,8,5] => 1100001 => [2,4,1] => 81
[8,1,6,5,7,3,2,4] => 1010110 => [1,1,1,1,2,1] => 345
[3,5,8,6,2,7,1,4] => 0011010 => [2,2,1,1,1] => 255
[5,8,1,6,3,7,2,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,8,5,6,3,7,2,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,7,6,5,4,2,8,3] => 0111101 => [1,4,1,1] => 107
[5,7,6,1,4,2,8,3] => 0110101 => [1,2,1,1,1,1] => 345
[7,1,4,2,6,5,8,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,1,7,3,5,6,8,2] => 1010001 => [1,1,1,3,1] => 219
[2,7,4,1,5,6,8,3] => 0110001 => [1,2,3,1] => 185
[5,7,6,4,1,2,8,3] => 0111001 => [1,3,2,1] => 185
[4,7,6,1,5,2,8,3] => 0110101 => [1,2,1,1,1,1] => 345
[1,7,6,4,5,2,8,3] => 0110101 => [1,2,1,1,1,1] => 345
[1,8,3,6,5,7,2,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,8,1,6,5,7,2,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[8,1,3,5,7,6,2,4] => 1000110 => [1,3,2,1] => 185
[7,8,5,4,1,6,2,3] => 0111010 => [1,3,1,1,1] => 219
[6,1,5,4,3,7,8,2] => 1011001 => [1,1,2,2,1] => 295
[7,5,6,4,2,1,8,3] => 1011101 => [1,1,3,1,1] => 233
[8,3,2,6,5,7,1,4] => 1101010 => [2,1,1,1,1,1] => 297
[7,4,6,2,5,1,8,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,1,4,3,5,7,8,2] => 1010001 => [1,1,1,3,1] => 219
[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] => 429
[8,2,3,6,5,7,1,4] => 1001010 => [1,2,1,1,1,1] => 345
[5,4,7,3,6,8,1,2] => 1010010 => [1,1,1,2,1,1] => 359
[3,4,7,8,5,6,1,2] => 0001010 => [3,1,1,1,1] => 165
[3,4,7,2,5,1,6,8] => 0010100 => [2,1,1,1,2] => 207
[1,4,7,2,5,8,3,6] => 0010010 => [2,1,2,1,1] => 252
[3,6,2,4,7,1,5,8] => 0100100 => [1,1,2,1,2] => 252
[6,8,3,4,5,7,1,2] => 0100010 => [1,1,3,1,1] => 233
[4,3,6,7,5,8,1,2] => 1001010 => [1,2,1,1,1,1] => 345
[6,3,7,5,8,4,1,2] => 1010110 => [1,1,1,1,2,1] => 345
[7,3,8,6,4,5,1,2] => 1011010 => [1,1,2,1,1,1] => 359
[3,2,7,6,5,1,4,8] => 1011100 => [1,1,3,2] => 171
[1,2,7,6,5,8,3,4] => 0011010 => [2,2,1,1,1] => 255
[4,8,2,6,1,5,3,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,3,8,6,4,1,5,7] => 0011100 => [2,3,2] => 126
[4,3,6,2,5,1,8,7] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,8,3,2,5,1,4,6] => 0110100 => [1,2,1,1,2] => 241
[7,8,1,2,5,6,3,4] => 0100010 => [1,1,3,1,1] => 233
[4,1,6,2,5,7,3,8] => 1010010 => [1,1,1,2,1,1] => 359
[6,1,2,5,8,7,3,4] => 1000110 => [1,3,2,1] => 185
[2,1,8,6,4,7,3,5] => 1011010 => [1,1,2,1,1,1] => 359
[7,1,3,6,8,4,2,5] => 1000110 => [1,3,2,1] => 185
[1,8,3,6,7,4,5,2] => 0100101 => [1,1,2,1,1,1] => 359
[7,1,5,8,3,6,2,4] => 1001010 => [1,2,1,1,1,1] => 345
[5,1,8,7,2,3,6,4] => 1011001 => [1,1,2,2,1] => 295
[6,1,5,7,4,2,8,3] => 1001101 => [1,2,2,1,1] => 295
[3,1,6,4,7,2,5,8] => 1010100 => [1,1,1,1,1,2] => 297
[2,4,7,5,1,8,3,6] => 0011010 => [2,2,1,1,1] => 255
[6,5,7,1,4,2,3,8] => 1010100 => [1,1,1,1,1,2] => 297
[5,6,8,1,3,2,4,7] => 0010100 => [2,1,1,1,2] => 207
[6,8,5,1,3,4,2,7] => 0110010 => [1,2,2,1,1] => 295
[2,8,3,4,5,1,7,6] => 0100101 => [1,1,2,1,1,1] => 359
[6,2,4,3,1,5,7,8] => 1011000 => [1,1,2,3] => 145
[4,2,8,3,1,7,5,6] => 1011010 => [1,1,2,1,1,1] => 359
[1,3,7,4,8,2,5,6] => 0010100 => [2,1,1,1,2] => 207
[5,3,7,4,1,6,2,8] => 1011010 => [1,1,2,1,1,1] => 359
[2,4,7,3,6,1,8,5] => 0010101 => [2,1,1,1,1,1] => 297
[5,8,7,6,3,1,2,4] => 0111100 => [1,4,2] => 81
[7,5,6,8,1,4,3,2] => 1001011 => [1,2,1,1,2] => 241
[2,4,7,1,6,5,3,8] => 0010110 => [2,1,1,2,1] => 241
[1,2,7,8,5,4,3,6] => 0001110 => [3,3,1] => 95
[6,3,1,2,8,4,5,7] => 1100100 => [2,2,1,2] => 180
[4,2,1,3,6,5,8,7] => 1100101 => [2,2,1,1,1] => 255
[2,8,1,4,5,6,3,7] => 0100010 => [1,1,3,1,1] => 233
[7,2,1,5,4,6,3,8] => 1101010 => [2,1,1,1,1,1] => 297
[4,2,6,1,8,5,3,7] => 1010110 => [1,1,1,1,2,1] => 345
[7,8,2,1,4,5,3,6] => 0110010 => [1,2,2,1,1] => 295
[7,8,4,1,5,3,6,2] => 0110101 => [1,2,1,1,1,1] => 345
[3,4,6,1,5,8,7,2] => 0010011 => [2,1,2,2] => 180
[7,5,1,6,4,3,8,2] => 1101101 => [2,1,2,1,1] => 252
[5,8,1,6,3,4,7,2] => 0101001 => [1,1,1,1,2,1] => 345
[6,5,1,8,2,7,4,3] => 1101011 => [2,1,1,1,2] => 207
[6,8,1,7,5,2,3,4] => 0101100 => [1,1,1,2,2] => 255
[7,6,1,8,5,3,2,4] => 1101110 => [2,1,3,1] => 157
[5,6,1,7,4,8,2,3] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,6,1,5,7,4,2,8] => 0100110 => [1,1,2,2,1] => 295
[2,5,6,1,7,4,8,3] => 0010101 => [2,1,1,1,1,1] => 297
[3,1,7,5,6,4,8,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,1,7,6,4,8,3,2] => 1011011 => [1,1,2,1,2] => 252
[6,1,7,8,5,3,4,2] => 1001101 => [1,2,2,1,1] => 295
[7,1,8,6,5,4,2,3] => 1011110 => [1,1,4,1] => 107
[2,6,5,7,3,4,8,1] => 0101001 => [1,1,1,1,2,1] => 345
[1,6,4,7,5,8,2,3] => 0101010 => [1,1,1,1,1,1,1] => 429
[8,5,3,6,2,7,4,1] => 1101011 => [2,1,1,1,2] => 207
[1,3,7,4,6,8,2,5] => 0010010 => [2,1,2,1,1] => 252
[4,7,5,6,3,2,8,1] => 0101101 => [1,1,1,2,1,1] => 359
[1,7,6,5,4,8,2,3] => 0111010 => [1,3,1,1,1] => 219
[8,1,6,5,7,2,4,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[1,2,7,6,8,3,4,5] => 0010100 => [2,1,1,1,2] => 207
[6,1,7,5,3,8,2,4] => 1011010 => [1,1,2,1,1,1] => 359
[2,1,7,5,6,8,3,4] => 1010010 => [1,1,1,2,1,1] => 359
[5,4,1,7,6,8,2,3] => 1101010 => [2,1,1,1,1,1] => 297
[4,8,5,6,2,7,3,1] => 0101011 => [1,1,1,1,1,2] => 297
[3,8,6,4,2,7,5,1] => 0111011 => [1,3,1,2] => 157
[7,8,5,2,4,6,3,1] => 0110011 => [1,2,2,2] => 211
[2,8,6,3,7,4,5,1] => 0110101 => [1,2,1,1,1,1] => 345
[7,8,1,6,2,4,5,3] => 0101001 => [1,1,1,1,2,1] => 345
[6,8,1,4,7,2,5,3] => 0100101 => [1,1,2,1,1,1] => 359
[3,8,4,1,7,2,6,5] => 0110101 => [1,2,1,1,1,1] => 345
[5,4,7,1,8,3,2,6] => 1010110 => [1,1,1,1,2,1] => 345
[3,7,4,1,8,5,2,6] => 0110110 => [1,2,1,2,1] => 281
[6,7,1,4,8,3,2,5] => 0100110 => [1,1,2,2,1] => 295
[2,7,1,8,4,5,3,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[6,1,2,8,4,3,5,7] => 1001100 => [1,2,2,2] => 211
[6,5,1,4,3,8,2,7] => 1101010 => [2,1,1,1,1,1] => 297
[1,6,2,5,8,3,4,7] => 0100100 => [1,1,2,1,2] => 252
[8,5,1,3,7,2,6,4] => 1100101 => [2,2,1,1,1] => 255
[8,4,2,1,7,3,6,5] => 1110101 => [3,1,1,1,1] => 165
[7,4,2,1,8,5,3,6] => 1110110 => [3,1,2,1] => 137
[1,5,4,2,8,3,6,7] => 0110100 => [1,2,1,1,2] => 241
[6,4,3,1,5,8,2,7] => 1110010 => [3,2,1,1] => 145
[3,7,6,8,4,5,2,1] => 0101011 => [1,1,1,1,1,2] => 297
[2,7,6,8,5,3,4,1] => 0101101 => [1,1,1,2,1,1] => 359
[1,7,6,8,5,4,2,3] => 0101110 => [1,1,1,3,1] => 219
[1,4,8,6,7,5,2,3] => 0010110 => [2,1,1,2,1] => 241
[2,4,8,6,7,3,5,1] => 0010101 => [2,1,1,1,1,1] => 297
[7,3,8,5,4,6,2,1] => 1011011 => [1,1,2,1,2] => 252
[3,4,8,5,6,7,2,1] => 0010011 => [2,1,2,2] => 180
[6,3,5,8,4,7,2,1] => 1001011 => [1,2,1,1,2] => 241
[5,4,3,8,6,7,2,1] => 1101011 => [2,1,1,1,2] => 207
[5,4,2,8,7,3,6,1] => 1101101 => [2,1,2,1,1] => 252
[6,2,5,8,7,3,4,1] => 1001101 => [1,2,2,1,1] => 295
[3,2,8,5,7,4,6,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[1,3,8,7,5,6,2,4] => 0011010 => [2,2,1,1,1] => 255
[2,1,8,7,4,6,3,5] => 1011010 => [1,1,2,1,1,1] => 359
[3,1,8,5,7,6,2,4] => 1010110 => [1,1,1,1,2,1] => 345
[6,1,5,8,7,4,2,3] => 1001110 => [1,2,3,1] => 185
[5,4,1,8,7,6,2,3] => 1101110 => [2,1,3,1] => 157
[5,8,6,7,4,3,2,1] => 0101111 => [1,1,1,4] => 75
[4,8,7,5,6,3,2,1] => 0110111 => [1,2,1,3] => 137
[4,2,1,6,3,5,8,7] => 1101001 => [2,1,1,2,1] => 241
[6,2,1,4,3,5,8,7] => 1101001 => [2,1,1,2,1] => 241
[6,2,1,4,3,8,5,7] => 1101010 => [2,1,1,1,1,1] => 297
[8,2,1,4,3,6,5,7] => 1101010 => [2,1,1,1,1,1] => 297
[8,2,4,1,3,6,5,7] => 1010010 => [1,1,1,2,1,1] => 359
[6,2,4,1,3,8,5,7] => 1010010 => [1,1,1,2,1,1] => 359
[6,2,4,1,3,5,8,7] => 1010001 => [1,1,1,3,1] => 219
[4,2,6,1,3,5,8,7] => 1010001 => [1,1,1,3,1] => 219
[2,1,6,4,3,5,8,7] => 1011001 => [1,1,2,2,1] => 295
[2,6,1,4,3,5,8,7] => 0101001 => [1,1,1,1,2,1] => 345
[2,6,4,1,3,5,8,7] => 0110001 => [1,2,3,1] => 185
[4,6,2,1,3,5,8,7] => 0110001 => [1,2,3,1] => 185
[6,4,2,1,3,5,8,7] => 1110001 => [3,3,1] => 95
[8,4,2,1,3,6,5,7] => 1110010 => [3,2,1,1] => 145
[8,4,2,1,6,3,5,7] => 1110100 => [3,1,1,2] => 117
[6,4,2,1,8,3,5,7] => 1110100 => [3,1,1,2] => 117
[4,6,2,1,8,3,5,7] => 0110100 => [1,2,1,1,2] => 241
[2,6,1,4,3,8,5,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,1,6,4,3,8,5,7] => 1011010 => [1,1,2,1,1,1] => 359
[2,1,8,4,3,6,5,7] => 1011010 => [1,1,2,1,1,1] => 359
[2,8,1,4,3,6,5,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,8,4,1,3,6,5,7] => 0110010 => [1,2,2,1,1] => 295
[4,8,2,1,3,6,5,7] => 0110010 => [1,2,2,1,1] => 295
[4,8,2,1,6,3,5,7] => 0110100 => [1,2,1,1,2] => 241
[6,8,2,1,4,3,5,7] => 0110100 => [1,2,1,1,2] => 241
[8,6,2,1,4,3,5,7] => 1110100 => [3,1,1,2] => 117
[2,8,1,4,6,3,5,7] => 0100100 => [1,1,2,1,2] => 252
[2,1,8,4,6,3,5,7] => 1010100 => [1,1,1,1,1,2] => 297
[2,1,6,4,8,3,5,7] => 1010100 => [1,1,1,1,1,2] => 297
[2,6,1,4,8,3,5,7] => 0100100 => [1,1,2,1,2] => 252
[2,6,4,1,8,3,5,7] => 0110100 => [1,2,1,1,2] => 241
[2,6,4,8,1,3,5,7] => 0101000 => [1,1,1,1,3] => 165
[4,6,2,8,1,3,5,7] => 0101000 => [1,1,1,1,3] => 165
[4,2,6,1,3,8,5,7] => 1010010 => [1,1,1,2,1,1] => 359
[4,2,6,1,8,3,5,7] => 1010100 => [1,1,1,1,1,2] => 297
[6,2,4,1,8,3,5,7] => 1010100 => [1,1,1,1,1,2] => 297
[8,2,4,1,6,3,5,7] => 1010100 => [1,1,1,1,1,2] => 297
[8,2,1,4,6,3,5,7] => 1100100 => [2,2,1,2] => 180
[6,2,1,4,8,3,5,7] => 1100100 => [2,2,1,2] => 180
[4,2,1,6,8,3,5,7] => 1100100 => [2,2,1,2] => 180
[4,2,1,6,3,8,5,7] => 1101010 => [2,1,1,1,1,1] => 297
[4,2,1,3,6,8,5,7] => 1100010 => [2,3,1,1] => 171
[2,1,4,3,8,6,5,7] => 1010110 => [1,1,1,1,2,1] => 345
[2,4,1,3,8,6,5,7] => 0100110 => [1,1,2,2,1] => 295
[4,2,1,3,8,6,5,7] => 1100110 => [2,2,2,1] => 211
[4,2,1,8,3,6,5,7] => 1101010 => [2,1,1,1,1,1] => 297
[4,2,1,8,6,3,5,7] => 1101100 => [2,1,2,2] => 180
[6,2,1,8,4,3,5,7] => 1101100 => [2,1,2,2] => 180
[8,2,1,6,4,3,5,7] => 1101100 => [2,1,2,2] => 180
[8,2,6,1,4,3,5,7] => 1010100 => [1,1,1,1,1,2] => 297
[6,2,8,1,4,3,5,7] => 1010100 => [1,1,1,1,1,2] => 297
[4,2,8,1,6,3,5,7] => 1010100 => [1,1,1,1,1,2] => 297
[4,2,8,1,3,6,5,7] => 1010010 => [1,1,1,2,1,1] => 359
[2,4,8,1,3,6,5,7] => 0010010 => [2,1,2,1,1] => 252
[2,4,1,8,3,6,5,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,1,4,8,3,6,5,7] => 1001010 => [1,2,1,1,1,1] => 345
[2,1,4,8,6,3,5,7] => 1001100 => [1,2,2,2] => 211
[2,4,8,1,6,3,5,7] => 0010100 => [2,1,1,1,2] => 207
[2,4,8,6,1,3,5,7] => 0011000 => [2,2,3] => 105
[4,2,8,6,1,3,5,7] => 1011000 => [1,1,2,3] => 145
[6,2,8,4,1,3,5,7] => 1011000 => [1,1,2,3] => 145
[8,2,6,4,1,3,5,7] => 1011000 => [1,1,2,3] => 145
[8,4,6,2,1,3,5,7] => 1011000 => [1,1,2,3] => 145
[6,4,8,2,1,3,5,7] => 1011000 => [1,1,2,3] => 145
[4,6,8,2,1,3,5,7] => 0011000 => [2,2,3] => 105
[2,6,8,4,1,3,5,7] => 0011000 => [2,2,3] => 105
[2,6,8,1,4,3,5,7] => 0010100 => [2,1,1,1,2] => 207
[2,6,1,8,4,3,5,7] => 0101100 => [1,1,1,2,2] => 255
[2,1,6,8,4,3,5,7] => 1001100 => [1,2,2,2] => 211
[2,1,8,6,4,3,5,7] => 1011100 => [1,1,3,2] => 171
[2,8,1,6,4,3,5,7] => 0101100 => [1,1,1,2,2] => 255
[2,8,6,4,1,3,5,7] => 0111000 => [1,3,3] => 95
[4,8,6,2,1,3,5,7] => 0111000 => [1,3,3] => 95
[6,8,4,2,1,3,5,7] => 0111000 => [1,3,3] => 95
[3,2,6,1,5,4,8,7] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,2,4,3,8,1,7,6] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,2,4,1,5,3,8,7] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,3,6,1,5,2,8,7] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,3,5,2,8,1,7,6] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,3,7,2,6,5,8,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,3,8,2,6,1,7,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,3,8,1,7,2,6,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,3,8,1,5,2,7,6] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,1,8,3,4,2,7,6] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,4,8,1,3,2,7,6] => 1010101 => [1,1,1,1,1,1,1] => 429
[2,1,5,4,8,3,7,6] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,1,7,6,8,3,4,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,3,7,6,8,1,5,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,3,7,1,8,5,6,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,3,6,5,8,1,7,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,3,5,4,7,2,8,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,3,5,4,8,1,7,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,1,6,3,8,4,5,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,4,6,5,8,1,3,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[2,1,8,4,6,3,7,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,4,6,1,3,2,7,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,1,6,3,4,2,7,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,1,6,3,7,2,5,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,3,5,1,7,2,6,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,3,5,2,6,1,7,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,3,5,2,6,4,8,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,2,6,3,5,1,7,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,2,7,1,5,3,6,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,2,4,1,5,3,7,6] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,2,4,1,7,3,6,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,2,4,3,6,1,7,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[3,2,8,4,6,1,7,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[3,2,8,1,5,4,7,6] => 1010101 => [1,1,1,1,1,1,1] => 429
[3,2,7,6,8,1,5,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[3,2,7,1,8,5,6,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[3,2,6,5,8,1,7,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,5,7,2,4,3,8,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,5,8,2,4,1,7,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,2,4,1,8,5,6,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,6,8,2,4,1,5,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,6,8,1,5,2,4,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[2,1,7,3,8,5,6,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,1,3,2,8,5,6,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,1,8,5,6,2,4,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,1,8,2,6,4,5,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,2,8,1,5,4,6,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,2,7,4,5,3,8,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,4,7,2,6,3,8,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,4,8,2,6,1,7,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,5,8,1,7,2,4,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[2,1,6,5,8,3,7,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,5,7,4,8,1,3,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,5,7,1,8,3,4,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,1,7,4,8,3,5,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,4,7,1,8,3,6,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,4,6,3,8,1,7,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[2,8,3,1,5,4,6,7] => 0110100 => [1,2,1,1,2] => 241
[2,5,3,4,7,1,8,6] => 0100101 => [1,1,2,1,1,1] => 359
[2,4,8,3,5,7,6,1] => 0010011 => [2,1,2,2] => 180
[4,2,5,3,1,8,6,7] => 1011010 => [1,1,2,1,1,1] => 359
[4,2,1,8,5,3,6,7] => 1101100 => [2,1,2,2] => 180
[5,4,1,3,8,2,6,7] => 1100100 => [2,2,1,2] => 180
[5,1,4,8,3,2,6,7] => 1001100 => [1,2,2,2] => 211
[1,5,8,4,3,2,6,7] => 0011100 => [2,3,2] => 126
[1,8,5,4,3,2,6,7] => 0111100 => [1,4,2] => 81
[1,7,4,3,8,5,2,6] => 0110110 => [1,2,1,2,1] => 281
[1,5,7,3,8,4,2,6] => 0010110 => [2,1,1,2,1] => 241
[5,1,4,7,8,3,2,6] => 1000110 => [1,3,2,1] => 185
[4,8,1,5,7,3,6,2] => 0100101 => [1,1,2,1,1,1] => 359
[8,1,5,3,7,4,6,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[3,8,4,7,6,5,2,1] => 0101111 => [1,1,1,4] => 75
[1,6,8,5,3,7,4,2] => 0011011 => [2,2,1,2] => 180
[6,8,1,7,4,3,5,2] => 0101101 => [1,1,1,2,1,1] => 359
[6,4,8,1,7,3,5,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,4,8,7,1,5,2,3] => 1011010 => [1,1,2,1,1,1] => 359
[7,6,4,1,3,8,2,5] => 1110010 => [3,2,1,1] => 145
[1,7,5,6,3,2,8,4] => 0101101 => [1,1,1,2,1,1] => 359
[4,2,1,7,8,5,3,6] => 1100110 => [2,2,2,1] => 211
[2,7,4,6,3,1,8,5] => 0101101 => [1,1,1,2,1,1] => 359
[2,6,8,4,3,7,5,1] => 0011011 => [2,2,1,2] => 180
[6,2,4,8,3,7,5,1] => 1001011 => [1,2,1,1,2] => 241
[7,2,6,3,4,1,8,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[2,6,7,3,1,4,8,5] => 0011001 => [2,2,2,1] => 211
[2,7,1,8,3,5,4,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,1,7,3,5,8,4,6] => 1010010 => [1,1,1,2,1,1] => 359
[8,7,1,3,6,2,4,5] => 1100100 => [2,2,1,2] => 180
[8,2,1,7,3,5,6,4] => 1101001 => [2,1,1,2,1] => 241
[7,8,2,6,3,1,5,4] => 0101101 => [1,1,1,2,1,1] => 359
[8,7,2,6,3,5,4,1] => 1101011 => [2,1,1,1,2] => 207
[1,2,8,7,4,5,6,3] => 0011001 => [2,2,2,1] => 211
[8,3,7,1,5,6,2,4] => 1010010 => [1,1,1,2,1,1] => 359
[8,6,1,2,7,5,3,4] => 1100110 => [2,2,2,1] => 211
[8,1,6,2,7,4,5,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[1,8,5,2,6,7,4,3] => 0110011 => [1,2,2,2] => 211
[5,2,1,8,6,7,4,3] => 1101011 => [2,1,1,1,2] => 207
[2,8,5,7,6,4,3,1] => 0101111 => [1,1,1,4] => 75
[1,7,8,5,2,6,4,3] => 0011011 => [2,2,1,2] => 180
[7,8,1,6,4,2,5,3] => 0101101 => [1,1,1,2,1,1] => 359
[7,8,6,1,5,3,2,4] => 0110110 => [1,2,1,2,1] => 281
[7,3,8,6,1,5,2,4] => 1011010 => [1,1,2,1,1,1] => 359
[8,7,6,1,5,3,4,2] => 1110101 => [3,1,1,1,1] => 165
[8,7,1,6,4,5,3,2] => 1101011 => [2,1,1,1,2] => 207
[8,1,7,5,6,4,3,2] => 1010111 => [1,1,1,1,3] => 165
[1,8,6,7,5,4,3,2] => 0101111 => [1,1,1,4] => 75
[6,3,5,2,1,4,8,7] => 1011001 => [1,1,2,2,1] => 295
[6,3,5,7,2,8,4,1] => 1001011 => [1,2,1,1,2] => 241
[8,5,2,7,4,3,1,6] => 1101110 => [2,1,3,1] => 157
[4,5,3,6,1,2,8,7] => 0101001 => [1,1,1,1,2,1] => 345
[3,5,1,4,6,2,8,7] => 0100101 => [1,1,2,1,1,1] => 359
[8,3,4,5,7,2,1,6] => 1000110 => [1,3,2,1] => 185
[5,7,4,6,3,8,2,1] => 0101011 => [1,1,1,1,1,2] => 297
[2,8,4,6,3,7,1,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[8,1,4,7,3,6,2,5] => 1001010 => [1,2,1,1,1,1] => 345
[8,3,4,7,5,1,2,6] => 1001100 => [1,2,2,2] => 211
[8,5,1,4,7,3,2,6] => 1100110 => [2,2,2,1] => 211
[8,5,3,7,1,4,2,6] => 1101010 => [2,1,1,1,1,1] => 297
[2,1,8,5,7,4,3,6] => 1010110 => [1,1,1,1,2,1] => 345
[6,5,3,7,1,8,4,2] => 1101011 => [2,1,1,1,2] => 207
[6,5,1,4,7,8,3,2] => 1100011 => [2,3,2] => 126
[6,3,4,7,5,8,1,2] => 1001010 => [1,2,1,1,1,1] => 345
[5,1,4,6,8,3,7,2] => 1000101 => [1,3,1,1,1] => 219
[4,7,1,3,5,8,6,2] => 0100011 => [1,1,3,2] => 171
[4,8,3,7,1,2,6,5] => 0101001 => [1,1,1,1,2,1] => 345
[3,8,6,4,1,7,2,5] => 0111010 => [1,3,1,1,1] => 219
[3,8,1,2,5,7,6,4] => 0100011 => [1,1,3,2] => 171
[2,8,7,5,4,1,3,6] => 0111100 => [1,4,2] => 81
[8,7,2,6,4,1,3,5] => 1101100 => [2,1,2,2] => 180
[3,8,6,7,4,2,1,5] => 0101110 => [1,1,1,3,1] => 219
[5,7,6,8,4,2,3,1] => 0101101 => [1,1,1,2,1,1] => 359
[5,3,7,8,2,4,6,1] => 1001001 => [1,2,1,2,1] => 281
[8,3,6,2,1,4,7,5] => 1011001 => [1,1,2,2,1] => 295
[5,3,7,6,2,1,8,4] => 1011101 => [1,1,3,1,1] => 233
[5,3,6,2,8,7,1,4] => 1010110 => [1,1,1,1,2,1] => 345
[5,7,8,6,4,2,1,3] => 0011110 => [2,4,1] => 81
[2,6,7,5,4,8,1,3] => 0011010 => [2,2,1,1,1] => 255
[6,1,7,4,5,8,2,3] => 1010010 => [1,1,1,2,1,1] => 359
[6,7,3,5,1,8,2,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,1,6,7,5,8,3,4] => 1001010 => [1,2,1,1,1,1] => 345
[2,1,5,7,3,6,8,4] => 1001001 => [1,2,1,2,1] => 281
[5,7,3,6,1,2,8,4] => 0101001 => [1,1,1,1,2,1] => 345
[4,1,7,2,5,6,8,3] => 1010001 => [1,1,1,3,1] => 219
[2,4,7,1,6,5,8,3] => 0010101 => [2,1,1,1,1,1] => 297
[4,6,2,1,8,7,5,3] => 0110111 => [1,2,1,3] => 137
[3,4,6,2,7,8,5,1] => 0010011 => [2,1,2,2] => 180
[4,6,1,2,5,8,7,3] => 0100011 => [1,1,3,2] => 171
[5,6,1,4,8,2,7,3] => 0100101 => [1,1,2,1,1,1] => 359
[5,6,3,1,8,7,2,4] => 0110110 => [1,2,1,2,1] => 281
[3,5,6,4,7,1,8,2] => 0010101 => [2,1,1,1,1,1] => 297
[3,4,6,1,5,7,8,2] => 0010001 => [2,1,3,1] => 157
[3,4,1,5,7,6,8,2] => 0100101 => [1,1,2,1,1,1] => 359
[3,8,2,7,1,6,5,4] => 0101011 => [1,1,1,1,1,2] => 297
[3,8,2,7,6,1,5,4] => 0101101 => [1,1,1,2,1,1] => 359
[3,8,2,7,6,5,1,4] => 0101110 => [1,1,1,3,1] => 219
[3,8,2,7,6,5,4,1] => 0101111 => [1,1,1,4] => 75
[4,8,7,2,6,5,3,1] => 0110111 => [1,2,1,3] => 137
[4,8,7,2,6,5,1,3] => 0110110 => [1,2,1,2,1] => 281
[4,8,7,2,6,1,5,3] => 0110101 => [1,2,1,1,1,1] => 345
[4,8,7,2,1,6,5,3] => 0111011 => [1,3,1,2] => 157
[4,8,7,3,1,6,5,2] => 0111011 => [1,3,1,2] => 157
[4,8,7,3,2,1,6,5] => 0111101 => [1,4,1,1] => 107
[4,8,7,3,2,6,1,5] => 0111010 => [1,3,1,1,1] => 219
[4,8,7,3,2,6,5,1] => 0111011 => [1,3,1,2] => 157
[4,8,7,3,6,2,5,1] => 0110101 => [1,2,1,1,1,1] => 345
[4,8,7,3,6,2,1,5] => 0110110 => [1,2,1,2,1] => 281
[4,8,7,3,6,1,5,2] => 0110101 => [1,2,1,1,1,1] => 345
[4,8,7,3,6,5,1,2] => 0110110 => [1,2,1,2,1] => 281
[4,8,7,3,6,5,2,1] => 0110111 => [1,2,1,3] => 137
[5,8,7,6,3,4,2,1] => 0111011 => [1,3,1,2] => 157
[5,8,7,6,3,1,4,2] => 0111101 => [1,4,1,1] => 107
[5,8,7,6,3,2,4,1] => 0111101 => [1,4,1,1] => 107
[5,8,7,6,2,4,3,1] => 0111011 => [1,3,1,2] => 157
[5,8,7,6,2,1,4,3] => 0111101 => [1,4,1,1] => 107
[5,8,7,6,4,2,3,1] => 0111101 => [1,4,1,1] => 107
[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] => 107
[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] => 359
[7,3,5,2,6,1,4,8] => 1010100 => [1,1,1,1,1,2] => 297
[7,3,5,2,6,4,1,8] => 1010110 => [1,1,1,1,2,1] => 345
[6,3,5,2,7,4,8,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,2,1,5,6,4,3,8] => 1100110 => [2,2,2,1] => 211
[7,3,5,1,6,4,2,8] => 1010110 => [1,1,1,1,2,1] => 345
[7,4,5,6,1,3,2,8] => 1001010 => [1,2,1,1,1,1] => 345
[1,4,5,7,3,2,8,6] => 0001101 => [3,2,1,1] => 145
[1,4,6,7,3,8,2,5] => 0001010 => [3,1,1,1,1] => 165
[6,4,5,7,3,1,8,2] => 1001101 => [1,2,2,1,1] => 295
[6,4,5,7,1,3,8,2] => 1001001 => [1,2,1,2,1] => 281
[6,3,5,1,7,4,8,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,2,1,5,7,4,8,3] => 1100101 => [2,2,1,1,1] => 255
[3,2,1,5,7,4,8,6] => 1100101 => [2,2,1,1,1] => 255
[2,4,6,7,3,8,1,5] => 0001010 => [3,1,1,1,1] => 165
[1,4,6,7,3,8,5,2] => 0001011 => [3,1,1,2] => 117
[1,5,6,7,8,3,4,2] => 0000101 => [4,1,1,1] => 75
[2,5,6,7,8,3,1,4] => 0000110 => [4,2,1] => 65
[3,2,1,6,7,8,4,5] => 1100010 => [2,3,1,1] => 171
[5,2,1,6,7,8,4,3] => 1100011 => [2,3,2] => 126
[5,3,6,1,7,8,4,2] => 1010011 => [1,1,1,2,2] => 255
[5,4,6,7,1,8,3,2] => 1001011 => [1,2,1,1,2] => 241
[1,5,6,7,8,3,2,4] => 0000110 => [4,2,1] => 65
[6,4,5,7,2,1,8,3] => 1001101 => [1,2,2,1,1] => 295
[5,4,6,7,2,8,3,1] => 1001011 => [1,2,1,1,2] => 241
[5,3,6,2,7,8,4,1] => 1010011 => [1,1,1,2,2] => 255
[5,3,6,2,7,8,1,4] => 1010010 => [1,1,1,2,1,1] => 359
[6,3,5,2,7,1,8,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,3,4,2,1,7,8,5] => 1011001 => [1,1,2,2,1] => 295
[5,3,4,1,2,7,8,6] => 1010001 => [1,1,1,3,1] => 219
[4,3,6,2,7,8,1,5] => 1010010 => [1,1,1,2,1,1] => 359
[4,3,6,2,7,8,5,1] => 1010011 => [1,1,1,2,2] => 255
[1,3,6,2,7,8,5,4] => 0010011 => [2,1,2,2] => 180
[1,4,6,7,2,8,5,3] => 0001011 => [3,1,1,2] => 117
[3,4,6,7,2,8,5,1] => 0001011 => [3,1,1,2] => 117
[3,4,5,7,2,1,8,6] => 0001101 => [3,2,1,1] => 145
[4,2,1,5,7,3,8,6] => 1100101 => [2,2,1,1,1] => 255
[4,2,1,6,7,8,3,5] => 1100010 => [2,3,1,1] => 171
[4,3,6,1,7,8,2,5] => 1010010 => [1,1,1,2,1,1] => 359
[1,5,6,7,8,2,4,3] => 0000101 => [4,1,1,1] => 75
[1,5,6,7,8,4,2,3] => 0000110 => [4,2,1] => 65
[3,4,6,7,1,8,5,2] => 0001011 => [3,1,1,2] => 117
[4,3,6,1,7,8,5,2] => 1010011 => [1,1,1,2,2] => 255
[4,2,1,6,7,8,5,3] => 1100011 => [2,3,2] => 126
[2,3,6,1,7,8,5,4] => 0010011 => [2,1,2,2] => 180
[2,4,6,7,1,8,5,3] => 0001011 => [3,1,1,2] => 117
[2,5,6,7,8,1,4,3] => 0000101 => [4,1,1,1] => 75
[2,1,4,3,6,5,8,7,9] => 10101010 => [1,1,1,1,1,1,1,1] => 1430
[2,4,1,3,6,5,8,7,9] => 01001010 => [1,1,2,1,1,1,1] => 1220
[2,4,1,6,3,5,8,7,9] => 01010010 => [1,1,1,1,2,1,1] => 1220
[2,4,1,6,3,8,5,7,9] => 01010100 => [1,1,1,1,1,1,2] => 1001
[2,4,1,6,3,7,5,9,8] => 01010101 => [1,1,1,1,1,1,1,1] => 1430
[2,4,1,5,3,7,6,9,8] => 01010101 => [1,1,1,1,1,1,1,1] => 1430
[2,3,1,5,4,7,6,9,8] => 01010101 => [1,1,1,1,1,1,1,1] => 1430
[1,3,2,5,4,7,6,9,8] => 01010101 => [1,1,1,1,1,1,1,1] => 1430
[2,4,1,3,6,5,8,7,10,9] => 010010101 => [1,1,2,1,1,1,1,1] => 4202
[2,4,6,1,3,5,8,7,9] => 00100010 => [2,1,3,1,1] => 609
[2,4,1,6,3,5,8,7,10,9] => 010100101 => [1,1,1,1,2,1,1,1] => 4274
[2,4,1,6,8,3,5,7,9] => 01001000 => [1,1,2,1,3] => 502
[2,4,1,6,3,8,5,7,10,9] => 010101001 => [1,1,1,1,1,1,2,1] => 4004
[2,4,1,6,3,8,9,5,7] => 01010010 => [1,1,1,1,2,1,1] => 1220
[2,4,1,6,3,8,5,10,7,9] => 010101010 => [1,1,1,1,1,1,1,1,1] => 4862
[2,4,1,6,3,7,5,8,9] => 01010100 => [1,1,1,1,1,1,2] => 1001
[2,4,1,6,3,8,5,9,7,10] => 010101010 => [1,1,1,1,1,1,1,1,1] => 4862
[2,4,1,5,3,8,6,9,7] => 01010101 => [1,1,1,1,1,1,1,1] => 1430
[2,4,1,6,3,7,5,9,8,10] => 010101010 => [1,1,1,1,1,1,1,1,1] => 4862
[2,3,1,6,4,7,5,9,8] => 01010101 => [1,1,1,1,1,1,1,1] => 1430
[2,4,1,5,3,7,6,9,8,10] => 010101010 => [1,1,1,1,1,1,1,1,1] => 4862
[1,4,2,5,3,7,6,9,8] => 01010101 => [1,1,1,1,1,1,1,1] => 1430
[2,3,1,5,4,7,6,9,8,10] => 010101010 => [1,1,1,1,1,1,1,1,1] => 4862
[1,3,2,5,4,7,6,9,8,10] => 010101010 => [1,1,1,1,1,1,1,1,1] => 4862
[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] => 165
[1,4,3,7,2,5,6,8] => 0101000 => [1,1,1,1,3] => 165
[1,4,3,7,6,8,2,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,4,3,7,5,8,2,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,4,3,7,2,6,5,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,5,3,7,4,8,2,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,3,2,6,5,8,4,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,5,4,8,2,6,3,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,5,4,8,3,7,2,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,2,3,6,5,8,4,7] => 0001010 => [3,1,1,1,1] => 165
[6,8,2,4,5,7,1,3] => 0100010 => [1,1,3,1,1] => 233
[3,7,8,4,5,2,6,1] => 0010101 => [2,1,1,1,1,1] => 297
[7,8,1,4,5,3,6,2] => 0100101 => [1,1,2,1,1,1] => 359
[3,8,7,4,1,6,5,2] => 0111011 => [1,3,1,2] => 157
[4,8,3,6,1,5,7,2] => 0101001 => [1,1,1,1,2,1] => 345
[5,8,3,1,6,4,7,2] => 0110101 => [1,2,1,1,1,1] => 345
[5,8,1,4,7,6,3,2] => 0100111 => [1,1,2,3] => 145
[7,5,1,8,6,2,4,3] => 1101101 => [2,1,2,1,1] => 252
[7,4,1,8,2,6,3,5] => 1101010 => [2,1,1,1,1,1] => 297
[7,1,8,4,2,6,3,5] => 1011010 => [1,1,2,1,1,1] => 359
[1,6,3,8,5,2,4,7] => 0101100 => [1,1,1,2,2] => 255
[6,1,3,8,5,2,4,7] => 1001100 => [1,2,2,2] => 211
[7,1,8,3,6,2,5,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,3,1,8,4,2,6,5] => 1101101 => [2,1,2,1,1] => 252
[7,2,8,4,1,6,5,3] => 1011011 => [1,1,2,1,2] => 252
[7,2,8,3,6,5,1,4] => 1010110 => [1,1,1,1,2,1] => 345
[7,2,8,3,6,1,5,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,1,8,2,3,6,5,4] => 1010011 => [1,1,1,2,2] => 255
[6,1,2,8,3,5,4,7] => 1001010 => [1,2,1,1,1,1] => 345
[1,5,2,3,8,4,7,6] => 0100101 => [1,1,2,1,1,1] => 359
[5,1,2,3,8,4,7,6] => 1000101 => [1,3,1,1,1] => 219
[5,2,3,8,1,4,7,6] => 1001001 => [1,2,1,2,1] => 281
[6,2,8,1,3,5,4,7] => 1010010 => [1,1,1,2,1,1] => 359
[6,2,4,1,8,7,3,5] => 1010110 => [1,1,1,1,2,1] => 345
[6,3,1,4,2,8,5,7] => 1101010 => [2,1,1,1,1,1] => 297
[3,1,6,4,2,8,5,7] => 1011010 => [1,1,2,1,1,1] => 359
[2,6,3,8,7,1,5,4] => 0101101 => [1,1,1,2,1,1] => 359
[2,6,3,8,5,1,4,7] => 0101100 => [1,1,1,2,2] => 255
[2,5,1,8,3,4,7,6] => 0101001 => [1,1,1,1,2,1] => 345
[2,5,1,3,8,4,7,6] => 0100101 => [1,1,2,1,1,1] => 359
[1,2,5,3,8,4,7,6] => 0010101 => [2,1,1,1,1,1] => 297
[1,2,4,8,3,7,6,5] => 0001011 => [3,1,1,2] => 117
[2,4,8,1,3,7,6,5] => 0010011 => [2,1,2,2] => 180
[2,4,8,3,7,1,6,5] => 0010101 => [2,1,1,1,1,1] => 297
[2,4,8,3,7,6,1,5] => 0010110 => [2,1,1,2,1] => 241
[2,5,3,8,1,7,4,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,5,4,1,3,8,7,6] => 0110011 => [1,2,2,2] => 211
[3,1,5,4,8,2,7,6] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,3,1,4,8,2,7,6] => 1100101 => [2,2,1,1,1] => 255
[5,2,3,8,4,7,1,6] => 1001010 => [1,2,1,1,1,1] => 345
[4,8,2,3,7,6,1,5] => 0100110 => [1,1,2,2,1] => 295
[4,8,2,3,7,1,6,5] => 0100101 => [1,1,2,1,1,1] => 359
[4,8,1,2,3,7,6,5] => 0100011 => [1,1,3,2] => 171
[1,4,8,2,3,7,6,5] => 0010011 => [2,1,2,2] => 180
[1,4,8,3,7,2,6,5] => 0010101 => [2,1,1,1,1,1] => 297
[6,3,8,1,5,2,4,7] => 1010100 => [1,1,1,1,1,2] => 297
[5,3,8,1,2,4,7,6] => 1010001 => [1,1,1,3,1] => 219
[5,1,3,8,2,4,7,6] => 1001001 => [1,2,1,2,1] => 281
[1,5,3,8,2,4,7,6] => 0101001 => [1,1,1,1,2,1] => 345
[1,5,4,8,2,7,6,3] => 0101011 => [1,1,1,1,1,2] => 297
[5,1,4,8,2,7,6,3] => 1001011 => [1,2,1,1,2] => 241
[5,4,8,1,2,7,6,3] => 1010011 => [1,1,1,2,2] => 255
[6,5,1,2,8,7,4,3] => 1100111 => [2,2,3] => 105
[5,3,1,6,4,2,8,7] => 1101101 => [2,1,2,1,1] => 252
[5,1,6,2,8,7,4,3] => 1010111 => [1,1,1,1,3] => 165
[4,1,5,8,2,7,6,3] => 1001011 => [1,2,1,1,2] => 241
[4,1,2,5,8,7,6,3] => 1000111 => [1,3,3] => 95
[1,4,2,5,8,7,6,3] => 0100111 => [1,1,2,3] => 145
[1,3,5,2,8,7,4,6] => 0010110 => [2,1,1,2,1] => 241
[3,5,1,2,8,7,4,6] => 0100110 => [1,1,2,2,1] => 295
[3,6,2,8,7,5,1,4] => 0101110 => [1,1,1,3,1] => 219
[4,2,6,1,8,7,3,5] => 1010110 => [1,1,1,1,2,1] => 345
[4,3,1,5,8,2,7,6] => 1100101 => [2,2,1,1,1] => 255
[3,5,2,8,7,1,4,6] => 0101100 => [1,1,1,2,2] => 255
[3,4,8,7,2,6,1,5] => 0011010 => [2,2,1,1,1] => 255
[3,4,8,7,1,2,6,5] => 0011001 => [2,2,2,1] => 211
[3,4,8,1,7,2,6,5] => 0010101 => [2,1,1,1,1,1] => 297
[1,3,4,8,7,2,6,5] => 0001101 => [3,2,1,1] => 145
[1,3,4,8,2,7,6,5] => 0001011 => [3,1,1,2] => 117
[3,4,8,1,2,7,6,5] => 0010011 => [2,1,2,2] => 180
[3,4,8,2,7,1,6,5] => 0010101 => [2,1,1,1,1,1] => 297
[3,4,8,2,7,6,1,5] => 0010110 => [2,1,1,2,1] => 241
[4,2,5,8,1,7,6,3] => 1001011 => [1,2,1,1,2] => 241
[4,3,1,2,5,8,7,6] => 1100011 => [2,3,2] => 126
[3,1,4,2,5,8,7,6] => 1010011 => [1,1,1,2,2] => 255
[2,3,5,1,8,7,6,4] => 0010111 => [2,1,1,3] => 117
[7,8,2,1,5,3,6,4] => 0110101 => [1,2,1,1,1,1] => 345
[6,4,1,2,7,3,5,8] => 1100100 => [2,2,1,2] => 180
[2,3,7,5,4,1,8,6] => 0011101 => [2,3,1,1] => 171
[6,3,1,5,4,2,7,8] => 1101100 => [2,1,2,2] => 180
[7,8,1,5,4,2,6,3] => 0101101 => [1,1,1,2,1,1] => 359
[7,8,3,5,4,1,6,2] => 0101101 => [1,1,1,2,1,1] => 359
[7,8,2,5,4,1,3,6] => 0101100 => [1,1,1,2,2] => 255
[7,8,2,5,4,6,1,3] => 0101010 => [1,1,1,1,1,1,1] => 429
[6,2,1,5,4,7,3,8] => 1101010 => [2,1,1,1,1,1] => 297
[5,3,6,1,4,7,8,2] => 1010001 => [1,1,1,3,1] => 219
[5,3,6,2,4,7,1,8] => 1010010 => [1,1,1,2,1,1] => 359
[6,4,2,1,7,3,8,5] => 1110101 => [3,1,1,1,1] => 165
[4,3,7,5,8,6,1,2] => 1010110 => [1,1,1,1,2,1] => 345
[4,2,7,1,8,3,6,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[3,2,6,7,4,8,1,5] => 1001010 => [1,2,1,1,1,1] => 345
[3,1,6,7,4,8,5,2] => 1001011 => [1,2,1,1,2] => 241
[1,7,6,5,3,8,4,2] => 0111011 => [1,3,1,2] => 157
[2,7,6,5,3,8,1,4] => 0111010 => [1,3,1,1,1] => 219
[1,7,6,5,2,4,8,3] => 0111001 => [1,3,2,1] => 185
[2,7,6,5,3,1,4,8] => 0111100 => [1,4,2] => 81
[2,7,1,4,8,3,5,6] => 0100100 => [1,1,2,1,2] => 252
[3,7,6,4,8,5,1,2] => 0110110 => [1,2,1,2,1] => 281
[5,7,6,3,8,4,1,2] => 0110110 => [1,2,1,2,1] => 281
[5,1,6,2,4,8,3,7] => 1010010 => [1,1,1,2,1,1] => 359
[4,7,6,5,2,1,3,8] => 0111100 => [1,4,2] => 81
[4,7,6,5,2,8,1,3] => 0111010 => [1,3,1,1,1] => 219
[4,7,6,5,1,8,3,2] => 0111011 => [1,3,1,2] => 157
[1,7,6,5,2,8,3,4] => 0111010 => [1,3,1,1,1] => 219
[1,7,6,5,3,2,8,4] => 0111101 => [1,4,1,1] => 107
[4,7,6,5,1,2,8,3] => 0111001 => [1,3,2,1] => 185
[4,7,6,5,3,1,8,2] => 0111101 => [1,4,1,1] => 107
[6,1,3,5,4,8,7,2] => 1001011 => [1,2,1,1,2] => 241
[5,2,6,3,4,1,7,8] => 1010100 => [1,1,1,1,1,2] => 297
[5,1,6,2,4,7,8,3] => 1010001 => [1,1,1,3,1] => 219
[1,2,6,3,4,8,7,5] => 0010011 => [2,1,2,2] => 180
[1,7,2,4,8,3,6,5] => 0100101 => [1,1,2,1,1,1] => 359
[6,1,4,2,8,3,5,7] => 1010100 => [1,1,1,1,1,2] => 297
[4,1,8,2,6,3,5,7] => 1010100 => [1,1,1,1,1,2] => 297
[4,7,2,1,5,3,6,8] => 0110100 => [1,2,1,1,2] => 241
[4,7,1,6,2,3,8,5] => 0101001 => [1,1,1,1,2,1] => 345
[1,7,2,6,8,3,5,4] => 0100101 => [1,1,2,1,1,1] => 359
[1,2,6,7,4,8,5,3] => 0001011 => [3,1,1,2] => 117
[3,1,6,7,4,2,8,5] => 1001101 => [1,2,2,1,1] => 295
[3,2,8,5,4,6,1,7] => 1011010 => [1,1,2,1,1,1] => 359
[4,7,6,3,5,8,1,2] => 0110010 => [1,2,2,1,1] => 295
[4,7,1,2,5,3,8,6] => 0100101 => [1,1,2,1,1,1] => 359
[3,7,6,5,2,4,1,8] => 0111010 => [1,3,1,1,1] => 219
[3,7,6,5,1,4,8,2] => 0111001 => [1,3,2,1] => 185
[3,7,6,5,2,1,8,4] => 0111101 => [1,4,1,1] => 107
[1,7,6,5,8,2,4,3] => 0110101 => [1,2,1,1,1,1] => 345
[3,7,6,5,8,1,4,2] => 0110101 => [1,2,1,1,1,1] => 345
[3,7,6,5,1,2,4,8] => 0111000 => [1,3,3] => 95
[3,1,6,8,4,2,5,7] => 1001100 => [1,2,2,2] => 211
[4,7,6,8,3,5,1,2] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,7,6,5,1,4,3,8] => 0111010 => [1,3,1,1,1] => 219
[2,7,6,5,8,1,3,4] => 0110100 => [1,2,1,1,2] => 241
[2,7,6,5,8,4,1,3] => 0110110 => [1,2,1,2,1] => 281
[6,3,2,1,7,4,8,5] => 1110101 => [3,1,1,1,1] => 165
[4,2,1,7,3,5,8,6] => 1101001 => [2,1,1,2,1] => 241
[7,3,1,5,4,2,8,6] => 1101101 => [2,1,2,1,1] => 252
[8,4,1,5,2,7,6,3] => 1101011 => [2,1,1,1,2] => 207
[8,2,5,1,3,7,6,4] => 1010011 => [1,1,1,2,2] => 255
[4,3,7,2,1,5,8,6] => 1011001 => [1,1,2,2,1] => 295
[4,7,2,5,3,1,8,6] => 0101101 => [1,1,1,2,1,1] => 359
[2,7,5,4,1,3,8,6] => 0111001 => [1,3,2,1] => 185
[7,5,4,3,2,1,8,6] => 1111101 => [5,1,1] => 27
[6,5,2,1,8,4,3,7] => 1110110 => [3,1,2,1] => 137
[4,6,3,2,8,1,5,7] => 0110100 => [1,2,1,1,2] => 241
[5,7,4,3,2,8,1,6] => 0111010 => [1,3,1,1,1] => 219
[1,7,6,2,4,8,3,5] => 0110010 => [1,2,2,1,1] => 295
[2,7,3,6,4,8,1,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[6,2,7,5,3,8,1,4] => 1011010 => [1,1,2,1,1,1] => 359
[7,1,8,5,3,6,4,2] => 1011011 => [1,1,2,1,2] => 252
[5,8,3,2,7,1,6,4] => 0110101 => [1,2,1,1,1,1] => 345
[8,7,3,1,6,5,4,2] => 1110111 => [3,1,3] => 69
[8,7,2,6,1,5,4,3] => 1101011 => [2,1,1,1,2] => 207
[1,8,5,7,4,3,6,2] => 0101101 => [1,1,1,2,1,1] => 359
[1,8,5,7,2,4,6,3] => 0101001 => [1,1,1,1,2,1] => 345
[3,8,6,1,7,2,5,4] => 0110101 => [1,2,1,1,1,1] => 345
[7,2,8,5,6,1,4,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,3,7,5,8,2,1,4] => 1010110 => [1,1,1,1,2,1] => 345
[3,7,2,6,8,4,1,5] => 0100110 => [1,1,2,2,1] => 295
[3,6,5,8,1,4,2,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,6,5,8,4,1,3,7] => 0101100 => [1,1,1,2,2] => 255
[6,5,4,8,3,2,1,7] => 1101110 => [2,1,3,1] => 157
[8,4,3,7,2,1,6,5] => 1101101 => [2,1,2,1,1] => 252
[8,2,4,7,1,3,6,5] => 1001001 => [1,2,1,2,1] => 281
[6,2,5,8,1,4,3,7] => 1001010 => [1,2,1,1,1,1] => 345
[4,3,6,8,2,1,5,7] => 1001100 => [1,2,2,2] => 211
[6,3,5,1,8,4,2,7] => 1010110 => [1,1,1,1,2,1] => 345
[8,4,1,5,7,3,6,2] => 1100101 => [2,2,1,1,1] => 255
[6,4,2,5,8,3,1,7] => 1100110 => [2,2,2,1] => 211
[5,4,1,6,8,2,3,7] => 1100100 => [2,2,1,2] => 180
[6,3,7,4,8,5,2,1] => 1010111 => [1,1,1,1,3] => 165
[4,7,2,5,8,6,3,1] => 0100111 => [1,1,2,3] => 145
[6,3,1,8,4,7,5,2] => 1101011 => [2,1,1,1,2] => 207
[6,5,3,8,7,4,1,2] => 1101110 => [2,1,3,1] => 157
[5,4,8,1,7,6,2,3] => 1010110 => [1,1,1,1,2,1] => 345
[5,2,8,1,7,3,6,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,7,3,8,1,6,4,2] => 0101011 => [1,1,1,1,1,2] => 297
[6,4,7,8,1,5,3,2] => 1001011 => [1,2,1,1,2] => 241
[2,5,8,7,1,3,6,4] => 0011001 => [2,2,2,1] => 211
[5,3,8,7,2,1,6,4] => 1011101 => [1,1,3,1,1] => 233
[8,3,7,6,1,5,4,2] => 1011011 => [1,1,2,1,2] => 252
[8,2,7,6,5,1,4,3] => 1011101 => [1,1,3,1,1] => 233
[4,3,8,7,6,2,1,5] => 1011110 => [1,1,4,1] => 107
[2,4,8,7,6,1,3,5] => 0011100 => [2,3,2] => 126
[3,5,8,7,2,6,1,4] => 0011010 => [2,2,1,1,1] => 255
[4,7,3,8,6,5,1,2] => 0101110 => [1,1,1,3,1] => 219
[7,5,8,6,4,3,2,1] => 1011111 => [1,1,5] => 27
[5,8,7,3,6,4,2,1] => 0110111 => [1,2,1,3] => 137
[4,8,7,6,2,5,3,1] => 0111011 => [1,3,1,2] => 157
[3,8,7,6,5,1,4,2] => 0111101 => [1,4,1,1] => 107
[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] => 35
[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] => 83
[4,2,5,1,3,6,7,8,9] => 10100000 => [1,1,1,5] => 110
[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] => 125
[5,2,6,7,1,3,4,8,9] => 10010000 => [1,2,1,4] => 235
[5,6,3,4,1,2,7,8,9] => 01010000 => [1,1,1,1,4] => 275
[5,3,2,6,1,4,7,8,9] => 11010000 => [2,1,1,4] => 200
[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] => 332
[6,7,3,4,8,1,2,5,9] => 01001000 => [1,1,2,1,3] => 502
[6,3,2,7,8,1,4,5,9] => 11001000 => [2,2,1,3] => 365
[6,4,7,2,5,1,3,8,9] => 10101000 => [1,1,1,1,1,3] => 572
[6,4,3,2,7,1,5,8,9] => 11101000 => [3,1,1,3] => 242
[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] => 875
[7,4,3,2,8,9,1,5,6] => 11100100 => [3,2,1,2] => 371
[7,8,5,6,3,4,1,2,9] => 01010100 => [1,1,1,1,1,1,2] => 1001
[7,5,3,8,2,6,1,4,9] => 11010100 => [2,1,1,1,1,2] => 704
[7,5,4,3,2,8,1,6,9] => 11110100 => [4,1,1,2] => 200
[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] => 1430
[8,6,4,3,9,2,7,1,5] => 11101010 => [3,1,1,1,1,1] => 572
[8,6,5,4,3,2,9,1,7] => 11111010 => [5,1,1,1] => 110
[3,4,1,2,5,6,7,8,9,10] => 010000000 => [1,1,7] => 44
[3,2,1,4,5,6,7,8,9,10] => 110000000 => [2,7] => 36
[4,5,6,1,2,3,7,8,9,10] => 001000000 => [2,1,6] => 119
[4,2,5,1,3,6,7,8,9,10] => 101000000 => [1,1,1,6] => 154
[4,3,2,1,5,6,7,8,9,10] => 111000000 => [3,6] => 84
[5,6,7,8,1,2,3,4,9,10] => 000100000 => [3,1,5] => 209
[5,2,6,7,1,3,4,8,9,10] => 100100000 => [1,2,1,5] => 375
[5,6,3,4,1,2,7,8,9,10] => 010100000 => [1,1,1,1,5] => 429
[5,3,2,6,1,4,7,8,9,10] => 110100000 => [2,1,1,5] => 319
[5,4,3,2,1,6,7,8,9,10] => 111100000 => [4,5] => 126
[6,2,7,8,9,1,3,4,5,10] => 100010000 => [1,3,1,4] => 626
[6,7,3,4,8,1,2,5,9,10] => 010010000 => [1,1,2,1,4] => 901
[6,3,2,7,8,1,4,5,9,10] => 110010000 => [2,2,1,4] => 666
[6,4,7,2,5,1,3,8,9,10] => 101010000 => [1,1,1,1,1,4] => 1001
[6,4,3,2,7,1,5,8,9,10] => 111010000 => [3,1,1,4] => 451
[6,5,4,3,2,1,7,8,9,10] => 111110000 => [5,4] => 126
[7,8,3,4,9,10,1,2,5,6] => 010001000 => [1,1,3,1,3] => 1330
[7,8,9,4,5,6,1,2,3,10] => 001001000 => [2,1,2,1,3] => 1304
[7,4,3,2,8,9,1,5,6,10] => 111001000 => [3,2,1,3] => 802
[7,8,5,6,3,4,1,2,9,10] => 010101000 => [1,1,1,1,1,1,3] => 2002
[7,5,3,8,2,6,1,4,9,10] => 110101000 => [2,1,1,1,1,3] => 1430
[7,5,4,3,2,8,1,6,9,10] => 111101000 => [4,1,1,3] => 451
[7,6,5,4,3,2,1,8,9,10] => 111111000 => [6,3] => 84
[8,5,9,10,2,6,7,1,3,4] => 100100100 => [1,2,1,2,1,2] => 2550
[8,5,3,9,2,6,10,1,4,7] => 110100100 => [2,1,1,2,1,2] => 2179
[8,6,9,4,7,2,5,1,3,10] => 101010100 => [1,1,1,1,1,1,1,2] => 3432
[8,6,4,3,9,2,7,1,5,10] => 111010100 => [3,1,1,1,1,2] => 1430
[8,6,5,4,3,2,9,1,7,10] => 111110100 => [5,1,1,2] => 319
[8,7,6,5,4,3,2,1,9,10] => 111111100 => [7,2] => 36
[9,7,5,4,3,10,2,8,1,6] => 111101010 => [4,1,1,1,1,1] => 1001
[3,6,5,1,2,4,8,7] => 0110001 => [1,2,3,1] => 185
[3,7,5,8,2,4,1,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,8,5,7,2,4,1,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,1,7,8,4,3,2,6] => 1001110 => [1,2,3,1] => 185
[5,1,2,6,4,3,8,7] => 1001101 => [1,2,2,1,1] => 295
[6,1,2,5,4,3,8,7] => 1001101 => [1,2,2,1,1] => 295
[5,1,2,4,6,3,8,7] => 1000101 => [1,3,1,1,1] => 219
[4,1,2,6,5,3,8,7] => 1001101 => [1,2,2,1,1] => 295
[4,1,5,7,8,3,2,6] => 1000110 => [1,3,2,1] => 185
[4,1,5,8,7,3,2,6] => 1001110 => [1,2,3,1] => 185
[4,7,1,8,3,6,2,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,1,7,8,5,2,3,6] => 1001100 => [1,2,2,2] => 211
[5,1,7,4,8,2,3,6] => 1010100 => [1,1,1,1,1,2] => 297
[7,5,3,8,1,4,2,6] => 1101010 => [2,1,1,1,1,1] => 297
[2,1,5,8,7,3,4,6] => 1001100 => [1,2,2,2] => 211
[5,1,8,4,7,2,3,6] => 1010100 => [1,1,1,1,1,2] => 297
[4,1,8,7,5,2,3,6] => 1011100 => [1,1,3,2] => 171
[4,7,1,6,3,2,8,5] => 0101101 => [1,1,1,2,1,1] => 359
[6,1,2,3,7,5,8,4] => 1000101 => [1,3,1,1,1] => 219
[7,1,2,3,8,6,5,4] => 1000111 => [1,3,3] => 95
[7,1,2,3,5,8,6,4] => 1000011 => [1,4,2] => 81
[6,8,1,4,3,7,2,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[8,7,3,2,4,1,6,5] => 1110101 => [3,1,1,1,1] => 165
[2,1,7,3,4,8,6,5] => 1010011 => [1,1,1,2,2] => 255
[7,8,3,2,4,1,6,5] => 0110101 => [1,2,1,1,1,1] => 345
[6,7,1,4,3,8,2,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[8,1,2,3,5,7,6,4] => 1000011 => [1,4,2] => 81
[8,1,2,3,6,7,5,4] => 1000011 => [1,4,2] => 81
[7,1,2,3,6,8,5,4] => 1000011 => [1,4,2] => 81
[7,1,2,3,8,5,6,4] => 1000101 => [1,3,1,1,1] => 219
[8,1,2,3,7,5,6,4] => 1000101 => [1,3,1,1,1] => 219
[8,1,2,3,6,5,7,4] => 1000101 => [1,3,1,1,1] => 219
[7,1,8,5,4,3,2,6] => 1011110 => [1,1,4,1] => 107
[7,8,2,6,3,4,1,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[6,8,2,7,3,4,1,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[6,7,2,8,3,4,1,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,8,7,1,4,2,6,5] => 0110101 => [1,2,1,1,1,1] => 345
[3,7,8,1,4,2,6,5] => 0010101 => [2,1,1,1,1,1] => 297
[3,6,8,1,4,2,7,5] => 0010101 => [2,1,1,1,1,1] => 297
[3,5,7,8,2,4,1,6] => 0001010 => [3,1,1,1,1] => 165
[3,6,7,1,4,2,8,5] => 0010101 => [2,1,1,1,1,1] => 297
[7,6,2,8,3,1,4,5] => 1101100 => [2,1,2,2] => 180
[8,6,2,7,3,1,4,5] => 1101100 => [2,1,2,2] => 180
[8,1,7,5,4,3,2,6] => 1011110 => [1,1,4,1] => 107
[8,1,7,4,5,3,2,6] => 1010110 => [1,1,1,1,2,1] => 345
[5,8,3,7,1,4,2,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,1,7,3,4,6,8,5] => 1010001 => [1,1,1,3,1] => 219
[6,7,3,2,4,1,8,5] => 0110101 => [1,2,1,1,1,1] => 345
[8,7,2,4,3,6,1,5] => 1101010 => [2,1,1,1,1,1] => 297
[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] => 185
[5,1,2,3,7,8,6,4] => 1000011 => [1,4,2] => 81
[5,1,2,3,8,7,6,4] => 1000111 => [1,3,3] => 95
[5,1,2,3,8,6,7,4] => 1000101 => [1,3,1,1,1] => 219
[6,1,2,3,5,8,7,4] => 1000011 => [1,4,2] => 81
[8,6,2,4,3,1,7,5] => 1101101 => [2,1,2,1,1] => 252
[7,6,3,2,4,8,1,5] => 1110010 => [3,2,1,1] => 145
[2,1,6,3,4,8,7,5] => 1010011 => [1,1,1,2,2] => 255
[8,6,3,2,4,7,1,5] => 1110010 => [3,2,1,1] => 145
[7,6,2,4,3,1,8,5] => 1101101 => [2,1,2,1,1] => 252
[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] => 81
[7,8,1,2,6,3,5,4] => 0100101 => [1,1,2,1,1,1] => 359
[1,4,8,2,7,3,5,6] => 0010100 => [2,1,1,1,2] => 207
[1,2,8,5,4,7,3,6] => 0011010 => [2,2,1,1,1] => 255
[1,3,8,5,4,2,7,6] => 0011101 => [2,3,1,1] => 171
[2,3,6,8,4,7,1,5] => 0001010 => [3,1,1,1,1] => 165
[1,3,6,8,4,7,5,2] => 0001011 => [3,1,1,2] => 117
[2,4,8,1,7,3,6,5] => 0010101 => [2,1,1,1,1,1] => 297
[3,4,8,5,7,6,1,2] => 0010110 => [2,1,1,2,1] => 241
[1,2,6,8,4,5,7,3] => 0001001 => [3,1,2,1] => 137
[7,5,1,2,4,3,6,8] => 1100100 => [2,2,1,2] => 180
[7,4,6,1,5,2,3,8] => 1010100 => [1,1,1,1,1,2] => 297
[7,1,4,2,6,3,5,8] => 1010100 => [1,1,1,1,1,2] => 297
[6,8,1,4,7,2,3,5] => 0100100 => [1,1,2,1,2] => 252
[1,6,4,2,8,3,5,7] => 0110100 => [1,2,1,1,2] => 241
[1,6,3,8,5,4,2,7] => 0101110 => [1,1,1,3,1] => 219
[6,8,1,7,3,5,4,2] => 0101011 => [1,1,1,1,1,2] => 297
[7,1,3,6,5,4,2,8] => 1001110 => [1,2,3,1] => 185
[7,3,1,6,5,4,2,8] => 1101110 => [2,1,3,1] => 157
[7,2,1,4,6,3,5,8] => 1100100 => [2,2,1,2] => 180
[7,2,3,6,5,1,4,8] => 1001100 => [1,2,2,2] => 211
[7,1,2,3,6,5,4,8] => 1000110 => [1,3,2,1] => 185
[6,8,1,2,7,3,5,4] => 0100101 => [1,1,2,1,1,1] => 359
[1,6,2,3,8,5,4,7] => 0100110 => [1,1,2,2,1] => 295
[1,5,8,2,7,6,3,4] => 0010110 => [2,1,1,2,1] => 241
[5,1,8,2,7,6,3,4] => 1010110 => [1,1,1,1,2,1] => 345
[5,8,2,7,6,3,4,1] => 0101101 => [1,1,1,2,1,1] => 359
[6,2,8,1,7,3,5,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,8,2,1,7,4,3,5] => 0110110 => [1,2,1,2,1] => 281
[3,6,4,1,2,8,5,7] => 0110010 => [1,2,2,1,1] => 295
[2,1,6,3,8,5,4,7] => 1010110 => [1,1,1,1,2,1] => 345
[2,5,1,8,7,6,3,4] => 0101110 => [1,1,1,3,1] => 219
[2,5,3,8,7,4,6,1] => 0101101 => [1,1,1,2,1,1] => 359
[1,2,5,3,8,7,4,6] => 0010110 => [2,1,1,2,1] => 241
[2,4,8,7,6,5,1,3] => 0011110 => [2,4,1] => 81
[2,5,3,8,7,1,6,4] => 0101101 => [1,1,1,2,1,1] => 359
[2,5,8,4,1,7,6,3] => 0011011 => [2,2,1,2] => 180
[3,5,8,7,1,4,2,6] => 0011010 => [2,2,1,1,1] => 255
[5,3,8,4,1,7,6,2] => 1011011 => [1,1,2,1,2] => 252
[4,2,8,7,6,3,5,1] => 1011101 => [1,1,3,1,1] => 233
[4,2,8,7,6,5,3,1] => 1011111 => [1,1,5] => 27
[4,1,8,7,6,5,3,2] => 1011111 => [1,1,5] => 27
[4,3,8,7,6,5,1,2] => 1011110 => [1,1,4,1] => 107
[6,3,1,8,7,2,5,4] => 1101101 => [2,1,2,1,1] => 252
[5,8,3,7,6,1,4,2] => 0101101 => [1,1,1,2,1,1] => 359
[5,1,3,8,7,6,2,4] => 1001110 => [1,2,3,1] => 185
[1,5,3,8,7,6,2,4] => 0101110 => [1,1,1,3,1] => 219
[1,5,8,4,7,2,6,3] => 0010101 => [2,1,1,1,1,1] => 297
[5,1,8,4,7,2,6,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,8,7,4,6,1,2,3] => 0110100 => [1,2,1,1,2] => 241
[6,8,5,1,2,4,7,3] => 0110001 => [1,2,3,1] => 185
[5,6,3,1,2,4,8,7] => 0110001 => [1,2,3,1] => 185
[5,6,2,4,3,1,8,7] => 0101101 => [1,1,1,2,1,1] => 359
[5,6,1,2,4,3,8,7] => 0100101 => [1,1,2,1,1,1] => 359
[4,5,8,1,7,2,3,6] => 0010100 => [2,1,1,1,2] => 207
[4,5,8,1,7,2,6,3] => 0010101 => [2,1,1,1,1,1] => 297
[1,3,2,5,8,7,4,6] => 0100110 => [1,1,2,2,1] => 295
[3,5,1,8,7,4,6,2] => 0101101 => [1,1,1,2,1,1] => 359
[3,5,1,8,7,2,6,4] => 0101101 => [1,1,1,2,1,1] => 359
[4,3,6,1,2,8,5,7] => 1010010 => [1,1,1,2,1,1] => 359
[4,5,8,3,1,7,2,6] => 0011010 => [2,2,1,1,1] => 255
[4,5,2,8,7,1,3,6] => 0101100 => [1,1,1,2,2] => 255
[3,2,5,8,7,1,6,4] => 1001101 => [1,2,2,1,1] => 295
[3,4,8,7,6,2,1,5] => 0011110 => [2,4,1] => 81
[3,1,4,8,7,6,2,5] => 1001110 => [1,2,3,1] => 185
[3,4,8,7,6,5,1,2] => 0011110 => [2,4,1] => 81
[1,3,4,8,7,6,2,5] => 0001110 => [3,3,1] => 95
[3,4,8,7,6,2,5,1] => 0011101 => [2,3,1,1] => 171
[3,2,5,8,7,4,6,1] => 1001101 => [1,2,2,1,1] => 295
[4,5,8,3,1,7,6,2] => 0011011 => [2,2,1,2] => 180
[2,1,3,5,8,7,4,6] => 1000110 => [1,3,2,1] => 185
[1,2,7,5,8,6,4,3] => 0010111 => [2,1,1,3] => 117
[7,1,4,8,2,6,5,3] => 1001011 => [1,2,1,1,2] => 241
[6,8,1,3,7,5,2,4] => 0100110 => [1,1,2,2,1] => 295
[3,7,8,1,2,6,5,4] => 0010011 => [2,1,2,2] => 180
[1,3,7,8,2,6,5,4] => 0001011 => [3,1,1,2] => 117
[2,3,7,8,1,6,5,4] => 0001011 => [3,1,1,2] => 117
[2,7,8,1,3,6,5,4] => 0010011 => [2,1,2,2] => 180
[8,1,2,6,7,3,5,4] => 1000101 => [1,3,1,1,1] => 219
[8,1,2,6,7,5,3,4] => 1000110 => [1,3,2,1] => 185
[8,2,5,7,1,3,6,4] => 1001001 => [1,2,1,2,1] => 281
[2,8,1,6,7,3,5,4] => 0100101 => [1,1,2,1,1,1] => 359
[2,6,8,3,7,1,5,4] => 0010101 => [2,1,1,1,1,1] => 297
[2,8,6,4,7,1,5,3] => 0110101 => [1,2,1,1,1,1] => 345
[6,8,3,4,1,7,5,2] => 0101011 => [1,1,1,1,1,2] => 297
[6,8,3,7,4,1,5,2] => 0101101 => [1,1,1,2,1,1] => 359
[2,6,8,3,7,5,1,4] => 0010110 => [2,1,1,2,1] => 241
[2,8,1,6,7,5,3,4] => 0100110 => [1,1,2,2,1] => 295
[8,2,5,7,1,6,3,4] => 1001010 => [1,2,1,1,1,1] => 345
[8,4,7,2,3,6,1,5] => 1010010 => [1,1,1,2,1,1] => 359
[8,5,7,4,2,6,1,3] => 1011010 => [1,1,2,1,1,1] => 359
[8,3,5,7,4,1,6,2] => 1001101 => [1,2,2,1,1] => 295
[8,5,2,4,7,1,6,3] => 1100101 => [2,2,1,1,1] => 255
[8,2,3,5,7,1,6,4] => 1000101 => [1,3,1,1,1] => 219
[8,2,4,7,3,6,1,5] => 1001010 => [1,2,1,1,1,1] => 345
[8,2,7,1,4,6,3,5] => 1010010 => [1,1,1,2,1,1] => 359
[8,7,1,2,4,6,3,5] => 1100010 => [2,3,1,1] => 171
[8,7,1,4,6,2,3,5] => 1100100 => [2,2,1,2] => 180
[8,4,7,1,3,6,2,5] => 1010010 => [1,1,1,2,1,1] => 359
[1,6,8,3,7,2,5,4] => 0010101 => [2,1,1,1,1,1] => 297
[8,3,5,7,1,2,6,4] => 1001001 => [1,2,1,2,1] => 281
[5,8,7,1,3,6,2,4] => 0110010 => [1,2,2,1,1] => 295
[8,5,4,7,1,6,2,3] => 1101010 => [2,1,1,1,1,1] => 297
[8,5,4,7,1,2,6,3] => 1101001 => [2,1,1,2,1] => 241
[8,5,1,4,7,2,6,3] => 1100101 => [2,2,1,1,1] => 255
[1,4,6,8,2,7,5,3] => 0001011 => [3,1,1,2] => 117
[1,6,5,8,2,7,4,3] => 0101011 => [1,1,1,1,1,2] => 297
[8,5,6,3,1,7,4,2] => 1011011 => [1,1,2,1,2] => 252
[5,6,2,8,1,7,4,3] => 0101011 => [1,1,1,1,1,2] => 297
[1,8,4,5,7,2,6,3] => 0100101 => [1,1,2,1,1,1] => 359
[5,8,7,3,6,1,2,4] => 0110100 => [1,2,1,1,2] => 241
[8,3,5,7,1,6,2,4] => 1001010 => [1,2,1,1,1,1] => 345
[1,6,8,3,7,5,2,4] => 0010110 => [2,1,1,2,1] => 241
[6,3,8,2,7,5,1,4] => 1010110 => [1,1,1,1,2,1] => 345
[6,8,4,2,7,1,5,3] => 0110101 => [1,2,1,1,1,1] => 345
[8,6,4,7,3,1,5,2] => 1101101 => [2,1,2,1,1] => 252
[8,4,5,7,3,1,6,2] => 1001101 => [1,2,2,1,1] => 295
[8,4,2,5,7,1,6,3] => 1100101 => [2,2,1,1,1] => 255
[8,3,4,7,2,6,1,5] => 1001010 => [1,2,1,1,1,1] => 345
[8,7,1,3,4,6,2,5] => 1100010 => [2,3,1,1] => 171
[8,3,7,2,4,6,1,5] => 1010010 => [1,1,1,2,1,1] => 359
[2,8,4,5,7,1,6,3] => 0100101 => [1,1,2,1,1,1] => 359
[8,7,3,4,5,1,6,2] => 1100101 => [2,2,1,1,1] => 255
[8,7,4,5,2,6,1,3] => 1101010 => [2,1,1,1,1,1] => 297
[5,8,7,2,3,6,1,4] => 0110010 => [1,2,2,1,1] => 295
[8,7,2,3,4,6,1,5] => 1100010 => [2,3,1,1] => 171
[8,7,2,3,6,1,4,5] => 1100100 => [2,2,1,2] => 180
[1,3,2,8,5,4,7,6] => 0101101 => [1,1,1,2,1,1] => 359
[4,2,8,5,3,7,1,6] => 1011010 => [1,1,2,1,1,1] => 359
[5,2,1,8,4,3,7,6] => 1101101 => [2,1,2,1,1] => 252
[6,2,8,4,3,7,5,1] => 1011011 => [1,1,2,1,2] => 252
[7,2,8,4,3,1,6,5] => 1011101 => [1,1,3,1,1] => 233
[7,3,4,8,2,1,6,5] => 1001101 => [1,2,2,1,1] => 295
[6,3,4,8,2,7,5,1] => 1001011 => [1,2,1,1,2] => 241
[5,3,4,1,8,2,7,6] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,1,4,5,2,3,7,6] => 1001001 => [1,2,1,2,1] => 281
[8,1,5,4,3,2,7,6] => 1011101 => [1,1,3,1,1] => 233
[3,5,4,2,8,1,7,6] => 0110101 => [1,2,1,1,1,1] => 345
[4,5,3,2,8,7,1,6] => 0110110 => [1,2,1,2,1] => 281
[6,4,3,2,8,7,5,1] => 1110111 => [3,1,3] => 69
[6,5,3,2,1,7,8,4] => 1111001 => [4,2,1] => 65
[5,6,3,2,7,8,4,1] => 0110011 => [1,2,2,2] => 211
[4,1,6,3,2,7,8,5] => 1011001 => [1,1,2,2,1] => 295
[3,6,4,2,7,8,1,5] => 0110010 => [1,2,2,1,1] => 295
[8,1,6,4,3,7,2,5] => 1011010 => [1,1,2,1,1,1] => 359
[8,1,7,4,3,6,5,2] => 1011011 => [1,1,2,1,2] => 252
[2,7,4,1,3,6,5,8] => 0110010 => [1,2,2,1,1] => 295
[3,7,4,2,6,1,5,8] => 0110100 => [1,2,1,1,2] => 241
[4,1,7,3,2,6,5,8] => 1011010 => [1,1,2,1,1,1] => 359
[5,7,3,2,6,4,8,1] => 0110101 => [1,2,1,1,1,1] => 345
[6,7,3,2,5,4,1,8] => 0110110 => [1,2,1,2,1] => 281
[7,6,3,2,1,5,4,8] => 1111010 => [4,1,1,1] => 75
[4,7,5,6,2,3,8,1] => 0101001 => [1,1,1,1,2,1] => 345
[3,1,7,5,6,2,4,8] => 1010100 => [1,1,1,1,1,2] => 297
[2,7,5,6,1,3,4,8] => 0101000 => [1,1,1,1,3] => 165
[2,6,5,7,1,3,8,4] => 0101001 => [1,1,1,1,2,1] => 345
[4,6,5,7,2,8,1,3] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,6,4,7,2,8,3,1] => 0101011 => [1,1,1,1,1,2] => 297
[6,5,4,1,7,2,8,3] => 1110101 => [3,1,1,1,1] => 165
[7,5,4,6,2,1,8,3] => 1101101 => [2,1,2,1,1] => 252
[6,4,5,7,1,8,2,3] => 1001010 => [1,2,1,1,1,1] => 345
[5,4,6,1,7,8,2,3] => 1010010 => [1,1,1,2,1,1] => 359
[8,1,5,6,7,2,3,4] => 1000100 => [1,3,1,2] => 157
[2,1,4,6,8,7,3,5] => 1000110 => [1,3,2,1] => 185
[3,4,6,8,7,1,2,5] => 0001100 => [3,2,2] => 105
[4,3,1,6,8,7,2,5] => 1100110 => [2,2,2,1] => 211
[5,3,6,8,7,2,4,1] => 1001101 => [1,2,2,1,1] => 295
[6,3,5,1,8,7,2,4] => 1010110 => [1,1,1,1,2,1] => 345
[7,3,5,8,6,2,1,4] => 1001110 => [1,2,3,1] => 185
[7,2,8,5,6,3,1,4] => 1010110 => [1,1,1,1,2,1] => 345
[6,2,8,5,1,7,3,4] => 1011010 => [1,1,2,1,1,1] => 359
[4,2,1,8,6,7,3,5] => 1101010 => [2,1,1,1,1,1] => 297
[1,3,2,8,6,7,4,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,3,8,6,7,1,4,5] => 0010100 => [2,1,1,1,2] => 207
[8,1,3,2,6,7,4,5] => 1010010 => [1,1,1,2,1,1] => 359
[2,3,8,7,1,6,5,4] => 0011011 => [2,2,1,2] => 180
[4,2,8,7,6,1,5,3] => 1011101 => [1,1,3,1,1] => 233
[5,2,8,7,6,4,1,3] => 1011110 => [1,1,4,1] => 107
[7,2,1,8,6,5,4,3] => 1101111 => [2,1,4] => 55
[7,3,6,1,8,5,4,2] => 1010111 => [1,1,1,1,3] => 165
[6,3,7,8,5,4,2,1] => 1001111 => [1,2,4] => 65
[5,3,7,8,6,4,1,2] => 1001110 => [1,2,3,1] => 185
[4,3,1,7,8,6,5,2] => 1100111 => [2,2,3] => 105
[3,4,7,8,6,1,5,2] => 0001101 => [3,2,1,1] => 145
[8,1,5,7,6,2,4,3] => 1001101 => [1,2,2,1,1] => 295
[3,5,7,6,8,1,4,2] => 0010101 => [2,1,1,1,1,1] => 297
[4,5,7,6,8,3,1,2] => 0010110 => [2,1,1,2,1] => 241
[5,4,1,7,6,8,3,2] => 1101011 => [2,1,1,1,2] => 207
[6,4,7,5,8,3,2,1] => 1010111 => [1,1,1,1,3] => 165
[7,4,6,5,1,8,3,2] => 1011011 => [1,1,2,1,2] => 252
[7,5,6,4,3,1,8,2] => 1011101 => [1,1,3,1,1] => 233
[6,5,1,7,4,3,8,2] => 1101101 => [2,1,2,1,1] => 252
[4,6,7,5,3,8,1,2] => 0011010 => [2,2,1,1,1] => 255
[3,6,7,5,1,4,8,2] => 0011001 => [2,2,2,1] => 211
[8,1,6,7,5,4,2,3] => 1001110 => [1,2,3,1] => 185
[8,1,7,6,5,4,3,2] => 1011111 => [1,1,5] => 27
[2,7,6,1,5,4,3,8] => 0110110 => [1,2,1,2,1] => 281
[3,7,6,5,1,4,2,8] => 0111010 => [1,3,1,1,1] => 219
[4,7,6,5,3,1,2,8] => 0111100 => [1,4,2] => 81
[8,6,4,3,1,5,7,2] => 1111001 => [4,2,1] => 65
[8,6,4,1,5,2,7,3] => 1110101 => [3,1,1,1,1] => 165
[8,6,5,1,3,2,7,4] => 1110101 => [3,1,1,1,1] => 165
[8,6,3,1,7,2,4,5] => 1110100 => [3,1,1,2] => 117
[8,7,3,1,5,2,4,6] => 1110100 => [3,1,1,2] => 117
[5,3,1,7,2,4,6,8] => 1101000 => [2,1,1,3] => 117
[8,7,1,2,4,5,3,6] => 1100010 => [2,3,1,1] => 171
[8,6,1,2,4,7,3,5] => 1100010 => [2,3,1,1] => 171
[8,5,1,2,6,7,3,4] => 1100010 => [2,3,1,1] => 171
[8,5,1,6,4,2,7,3] => 1101101 => [2,1,2,1,1] => 252
[8,5,1,3,6,4,7,2] => 1100101 => [2,2,1,1,1] => 255
[8,6,1,5,3,4,7,2] => 1101001 => [2,1,1,2,1] => 241
[8,6,1,5,2,4,7,3] => 1101001 => [2,1,1,2,1] => 241
[8,6,1,2,5,7,3,4] => 1100010 => [2,3,1,1] => 171
[8,6,1,2,7,4,3,5] => 1100110 => [2,2,2,1] => 211
[8,7,1,2,5,4,3,6] => 1100110 => [2,2,2,1] => 211
[5,1,4,2,3,8,6,7] => 1010010 => [1,1,1,2,1,1] => 359
[5,1,4,2,7,3,6,8] => 1010100 => [1,1,1,1,1,2] => 297
[7,1,5,8,2,6,3,4] => 1001010 => [1,2,1,1,1,1] => 345
[5,7,8,1,2,4,6,3] => 0010001 => [2,1,3,1] => 157
[5,7,8,1,3,4,6,2] => 0010001 => [2,1,3,1] => 157
[5,8,1,7,3,4,6,2] => 0101001 => [1,1,1,1,2,1] => 345
[8,1,5,7,2,4,6,3] => 1001001 => [1,2,1,2,1] => 281
[8,4,1,2,7,6,3,5] => 1100110 => [2,2,2,1] => 211
[1,4,2,3,8,7,5,6] => 0100110 => [1,1,2,2,1] => 295
[1,4,2,7,6,3,5,8] => 0101100 => [1,1,1,2,2] => 255
[6,1,2,8,7,5,3,4] => 1001110 => [1,2,3,1] => 185
[6,1,2,4,8,7,5,3] => 1000111 => [1,3,3] => 95
[3,1,8,4,6,7,5,2] => 1010011 => [1,1,1,2,2] => 255
[3,1,7,6,4,8,5,2] => 1011011 => [1,1,2,1,2] => 252
[7,1,2,4,6,8,5,3] => 1000011 => [1,4,2] => 81
[7,1,2,6,8,5,3,4] => 1000110 => [1,3,2,1] => 185
[6,1,2,7,8,5,3,4] => 1000110 => [1,3,2,1] => 185
[6,1,2,7,4,8,5,3] => 1001011 => [1,2,1,1,2] => 241
[3,1,6,4,7,8,5,2] => 1010011 => [1,1,1,2,2] => 255
[5,7,1,3,8,4,6,2] => 0100101 => [1,1,2,1,1,1] => 359
[5,7,1,8,4,2,6,3] => 0101101 => [1,1,1,2,1,1] => 359
[7,1,5,3,2,8,6,4] => 1011011 => [1,1,2,1,2] => 252
[7,1,4,5,2,8,6,3] => 1001011 => [1,2,1,1,2] => 241
[4,7,3,1,5,8,6,2] => 0110011 => [1,2,2,2] => 211
[4,8,7,3,1,5,6,2] => 0111001 => [1,3,2,1] => 185
[8,1,7,4,5,2,6,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,1,7,5,3,2,6,4] => 1011101 => [1,1,3,1,1] => 233
[8,3,7,1,2,6,4,5] => 1010010 => [1,1,1,2,1,1] => 359
[3,1,2,8,4,7,5,6] => 1001010 => [1,2,1,1,1,1] => 345
[3,1,2,8,6,4,5,7] => 1001100 => [1,2,2,2] => 211
[3,1,7,2,6,4,5,8] => 1010100 => [1,1,1,1,1,2] => 297
[1,4,2,3,8,6,5,7] => 0100110 => [1,1,2,2,1] => 295
[1,4,2,3,8,5,7,6] => 0100101 => [1,1,2,1,1,1] => 359
[5,8,1,7,2,4,6,3] => 0101001 => [1,1,1,1,2,1] => 345
[5,8,1,3,4,7,6,2] => 0100011 => [1,1,3,2] => 171
[3,1,8,6,4,7,5,2] => 1011011 => [1,1,2,1,2] => 252
[8,1,2,6,7,4,5,3] => 1000101 => [1,3,1,1,1] => 219
[6,1,2,8,7,3,5,4] => 1001101 => [1,2,2,1,1] => 295
[1,2,3,5,8,4,7,6] => 0000101 => [4,1,1,1] => 75
[1,2,3,5,8,6,4,7] => 0000110 => [4,2,1] => 65
[7,1,2,8,3,6,5,4] => 1001011 => [1,2,1,1,2] => 241
[7,1,2,8,6,4,5,3] => 1001101 => [1,2,2,1,1] => 295
[3,1,7,8,4,6,5,2] => 1001011 => [1,2,1,1,2] => 241
[3,1,8,7,6,4,5,2] => 1011101 => [1,1,3,1,1] => 233
[8,1,2,7,4,6,5,3] => 1001011 => [1,2,1,1,2] => 241
[8,1,2,7,3,6,5,4] => 1001011 => [1,2,1,1,2] => 241
[1,2,3,5,8,7,4,6] => 0000110 => [4,2,1] => 65
[1,2,3,6,8,5,4,7] => 0000110 => [4,2,1] => 65
[7,8,5,6,3,1,4,2] => 0101101 => [1,1,1,2,1,1] => 359
[7,8,5,3,6,1,2,4] => 0110100 => [1,2,1,1,2] => 241
[7,5,6,3,1,4,2,8] => 1011010 => [1,1,2,1,1,1] => 359
[7,5,8,3,1,4,2,6] => 1011010 => [1,1,2,1,1,1] => 359
[7,8,5,3,1,4,2,6] => 0111010 => [1,3,1,1,1] => 219
[7,8,5,3,1,6,2,4] => 0111010 => [1,3,1,1,1] => 219
[7,8,5,3,1,6,4,2] => 0111011 => [1,3,1,2] => 157
[7,8,5,3,6,1,4,2] => 0110101 => [1,2,1,1,1,1] => 345
[7,8,5,3,6,4,1,2] => 0110110 => [1,2,1,2,1] => 281
[7,8,5,3,4,1,6,2] => 0110101 => [1,2,1,1,1,1] => 345
[7,8,5,3,1,4,6,2] => 0111001 => [1,3,2,1] => 185
[7,8,5,3,1,2,6,4] => 0111001 => [1,3,2,1] => 185
[7,5,3,8,1,2,6,4] => 1101001 => [2,1,1,2,1] => 241
[7,5,8,3,4,1,6,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,5,8,3,4,6,1,2] => 1010010 => [1,1,1,2,1,1] => 359
[7,5,6,3,4,1,8,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,5,6,3,1,4,8,2] => 1011001 => [1,1,2,2,1] => 295
[7,5,6,3,1,2,8,4] => 1011001 => [1,1,2,2,1] => 295
[7,5,3,6,1,2,8,4] => 1101001 => [2,1,1,2,1] => 241
[7,5,3,4,1,2,8,6] => 1101001 => [2,1,1,2,1] => 241
[7,5,3,1,4,2,6,8] => 1110100 => [3,1,1,2] => 117
[7,5,3,1,4,2,8,6] => 1110101 => [3,1,1,1,1] => 165
[7,5,3,1,6,2,8,4] => 1110101 => [3,1,1,1,1] => 165
[7,5,3,1,6,4,8,2] => 1110101 => [3,1,1,1,1] => 165
[7,5,3,6,1,4,8,2] => 1101001 => [2,1,1,2,1] => 241
[7,5,3,6,4,1,8,2] => 1101101 => [2,1,2,1,1] => 252
[7,5,3,6,4,8,1,2] => 1101010 => [2,1,1,1,1,1] => 297
[7,5,3,8,4,6,1,2] => 1101010 => [2,1,1,1,1,1] => 297
[7,5,3,8,1,4,6,2] => 1101001 => [2,1,1,2,1] => 241
[7,5,3,1,8,4,6,2] => 1110101 => [3,1,1,1,1] => 165
[7,5,3,1,8,2,6,4] => 1110101 => [3,1,1,1,1] => 165
[7,5,3,1,8,2,4,6] => 1110100 => [3,1,1,2] => 117
[7,5,3,1,6,2,4,8] => 1110100 => [3,1,1,2] => 117
[7,5,3,1,6,4,2,8] => 1110110 => [3,1,2,1] => 137
[7,5,3,1,8,4,2,6] => 1110110 => [3,1,2,1] => 137
[7,5,3,1,8,6,2,4] => 1110110 => [3,1,2,1] => 137
[7,5,3,8,1,6,4,2] => 1101011 => [2,1,1,1,2] => 207
[7,5,3,8,6,1,4,2] => 1101101 => [2,1,2,1,1] => 252
[7,5,3,8,6,4,1,2] => 1101110 => [2,1,3,1] => 157
[7,5,8,3,6,4,1,2] => 1010110 => [1,1,1,1,2,1] => 345
[7,5,8,3,6,1,4,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,5,8,3,1,6,4,2] => 1011011 => [1,1,2,1,2] => 252
[7,5,8,3,1,6,2,4] => 1011010 => [1,1,2,1,1,1] => 359
[7,5,3,6,1,4,2,8] => 1101010 => [2,1,1,1,1,1] => 297
[7,5,3,6,4,1,2,8] => 1101100 => [2,1,2,2] => 180
[7,5,3,8,4,1,2,6] => 1101100 => [2,1,2,2] => 180
[7,5,8,6,3,1,2,4] => 1011100 => [1,1,3,2] => 171
[7,5,8,6,3,1,4,2] => 1011101 => [1,1,3,1,1] => 233
[7,5,8,6,3,4,1,2] => 1011010 => [1,1,2,1,1,1] => 359
[7,5,6,8,3,1,4,2] => 1001101 => [1,2,2,1,1] => 295
[7,5,6,3,8,1,2,4] => 1010100 => [1,1,1,1,1,2] => 297
[7,5,3,4,1,6,2,8] => 1101010 => [2,1,1,1,1,1] => 297
[7,5,3,4,1,8,2,6] => 1101010 => [2,1,1,1,1,1] => 297
[7,5,6,3,1,8,2,4] => 1011010 => [1,1,2,1,1,1] => 359
[7,5,6,3,1,8,4,2] => 1011011 => [1,1,2,1,2] => 252
[7,5,6,3,8,1,4,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,5,6,3,8,4,1,2] => 1010110 => [1,1,1,1,2,1] => 345
[7,5,3,6,8,4,1,2] => 1100110 => [2,2,2,1] => 211
[7,5,3,6,8,1,4,2] => 1100101 => [2,2,1,1,1] => 255
[7,5,3,6,1,8,4,2] => 1101011 => [2,1,1,1,2] => 207
[7,5,3,1,6,8,4,2] => 1110011 => [3,2,2] => 105
[7,5,3,1,6,8,2,4] => 1110010 => [3,2,1,1] => 145
[7,5,3,1,4,8,2,6] => 1110010 => [3,2,1,1] => 145
[7,5,3,1,4,6,2,8] => 1110010 => [3,2,1,1] => 145
[7,5,3,1,2,6,4,8] => 1110010 => [3,2,1,1] => 145
[7,5,3,1,2,8,4,6] => 1110010 => [3,2,1,1] => 145
[7,5,3,1,2,8,6,4] => 1110011 => [3,2,2] => 105
[7,5,3,1,4,8,6,2] => 1110011 => [3,2,2] => 105
[7,5,3,4,1,8,6,2] => 1101011 => [2,1,1,1,2] => 207
[7,5,3,4,8,1,6,2] => 1100101 => [2,2,1,1,1] => 255
[7,5,3,4,8,6,1,2] => 1100110 => [2,2,2,1] => 211
[7,5,3,4,6,1,8,2] => 1100101 => [2,2,1,1,1] => 255
[7,5,3,4,1,6,8,2] => 1101001 => [2,1,1,2,1] => 241
[7,5,3,1,4,6,8,2] => 1110001 => [3,3,1] => 95
[7,5,3,1,2,6,8,4] => 1110001 => [3,3,1] => 95
[7,5,3,1,2,4,8,6] => 1110001 => [3,3,1] => 95
[3,6,2,5,4,1,8,7] => 0101101 => [1,1,1,2,1,1] => 359
[3,5,2,8,4,7,6,1] => 0101011 => [1,1,1,1,1,2] => 297
[5,4,7,3,2,8,6,1] => 1011011 => [1,1,2,1,2] => 252
[5,4,8,3,2,7,6,1] => 1011011 => [1,1,2,1,2] => 252
[6,4,5,3,2,1,8,7] => 1011101 => [1,1,3,1,1] => 233
[5,3,2,6,4,1,8,7] => 1101101 => [2,1,2,1,1] => 252
[4,5,8,3,2,7,6,1] => 0011011 => [2,2,1,2] => 180
[4,7,6,3,8,5,2,1] => 0110111 => [1,2,1,3] => 137
[4,8,6,3,7,5,2,1] => 0110111 => [1,2,1,3] => 137
[4,8,5,3,2,7,6,1] => 0111011 => [1,3,1,2] => 157
[5,8,4,3,2,7,6,1] => 0111011 => [1,3,1,2] => 157
[5,3,2,8,4,7,6,1] => 1101011 => [2,1,1,1,2] => 207
[2,1,5,8,4,7,6,3] => 1001011 => [1,2,1,1,2] => 241
[5,3,2,7,4,8,6,1] => 1101011 => [2,1,1,1,2] => 207
[5,7,4,3,2,8,6,1] => 0111011 => [1,3,1,2] => 157
[4,7,5,3,2,8,6,1] => 0111011 => [1,3,1,2] => 157
[4,7,8,3,6,5,2,1] => 0010111 => [2,1,1,3] => 117
[4,6,8,3,7,5,2,1] => 0010111 => [2,1,1,3] => 117
[7,6,4,3,8,5,2,1] => 1110111 => [3,1,3] => 69
[7,3,2,6,8,5,4,1] => 1100111 => [2,2,3] => 105
[2,1,8,6,7,5,4,3] => 1010111 => [1,1,1,1,3] => 165
[8,3,2,6,7,5,4,1] => 1100111 => [2,2,3] => 105
[8,6,4,3,7,5,2,1] => 1110111 => [3,1,3] => 69
[8,5,7,6,4,3,2,1] => 1011111 => [1,1,5] => 27
[8,4,5,3,2,7,6,1] => 1011011 => [1,1,2,1,2] => 252
[8,4,7,3,6,5,2,1] => 1010111 => [1,1,1,1,3] => 165
[8,4,6,3,7,5,2,1] => 1010111 => [1,1,1,1,3] => 165
[7,4,6,3,8,5,2,1] => 1010111 => [1,1,1,1,3] => 165
[3,7,2,6,8,5,4,1] => 0100111 => [1,1,2,3] => 145
[3,8,2,6,7,5,4,1] => 0100111 => [1,1,2,3] => 145
[3,8,2,5,4,7,6,1] => 0101011 => [1,1,1,1,1,2] => 297
[3,7,2,8,6,5,4,1] => 0101111 => [1,1,1,4] => 75
[3,6,2,8,7,5,4,1] => 0101111 => [1,1,1,4] => 75
[6,4,7,3,8,5,2,1] => 1010111 => [1,1,1,1,3] => 165
[6,4,8,3,7,5,2,1] => 1010111 => [1,1,1,1,3] => 165
[7,4,8,3,6,5,2,1] => 1010111 => [1,1,1,1,3] => 165
[7,4,5,3,2,8,6,1] => 1011011 => [1,1,2,1,2] => 252
[7,5,4,3,2,8,6,1] => 1111011 => [4,1,2] => 55
[7,3,2,5,4,8,6,1] => 1101011 => [2,1,1,1,2] => 207
[2,1,7,5,4,8,6,3] => 1011011 => [1,1,2,1,2] => 252
[7,3,2,8,6,5,4,1] => 1101111 => [2,1,4] => 55
[7,8,4,3,6,5,2,1] => 0110111 => [1,2,1,3] => 137
[6,8,5,7,4,3,2,1] => 0101111 => [1,1,1,4] => 75
[6,8,4,3,7,5,2,1] => 0110111 => [1,2,1,3] => 137
[6,3,2,8,7,5,4,1] => 1101111 => [2,1,4] => 55
[6,3,2,7,8,5,4,1] => 1100111 => [2,2,3] => 105
[6,7,4,3,8,5,2,1] => 0110111 => [1,2,1,3] => 137
[2,3,1,4,5,6,7,8,9] => 01000000 => [1,1,6] => 35
[2,3,4,1,5,6,7,8,9] => 00100000 => [2,1,5] => 83
[2,3,4,5,1,6,7,8,9] => 00010000 => [3,1,4] => 125
[2,3,4,5,6,1,7,8,9] => 00001000 => [4,1,3] => 125
[2,3,1,4,5,6,7,8,9,10] => 010000000 => [1,1,7] => 44
[2,4,3,1,5,6,7,8,9] => 01100000 => [1,2,5] => 98
[2,3,4,1,5,6,7,8,9,10] => 001000000 => [2,1,6] => 119
[2,3,5,4,1,6,7,8,9] => 00110000 => [2,2,4] => 185
[2,3,4,5,1,6,7,8,9,10] => 000100000 => [3,1,5] => 209
[2,3,4,6,5,1,7,8,9] => 00011000 => [3,2,3] => 226
[2,3,4,5,6,1,7,8,9,10] => 000010000 => [4,1,4] => 251
[2,3,4,5,7,6,1,8,9] => 00001100 => [4,2,2] => 185
[2,3,4,5,6,7,1,8,9,10] => 000001000 => [5,1,3] => 209
[2,3,4,5,6,8,7,1,9] => 00000110 => [5,2,1] => 98
[2,3,4,5,6,7,8,1,9,10] => 000000100 => [6,1,2] => 119
[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] => 252
[6,8,1,2,4,5,7,3] => 0100001 => [1,1,4,1] => 107
[3,5,8,2,4,7,1,6] => 0010010 => [2,1,2,1,1] => 252
[8,3,5,2,4,1,6,7] => 1010100 => [1,1,1,1,1,2] => 297
[4,2,5,7,3,6,1,8] => 1001010 => [1,2,1,1,1,1] => 345
[4,5,2,8,3,1,6,7] => 0101100 => [1,1,1,2,2] => 255
[4,2,5,8,3,7,1,6] => 1001010 => [1,2,1,1,1,1] => 345
[2,1,6,8,4,7,3,5] => 1001010 => [1,2,1,1,1,1] => 345
[1,2,5,8,3,6,7,4] => 0001001 => [3,1,2,1] => 137
[5,3,6,8,4,7,1,2] => 1001010 => [1,2,1,1,1,1] => 345
[1,6,5,8,2,4,7,3] => 0101001 => [1,1,1,1,2,1] => 345
[3,1,2,6,8,5,7,4] => 1000101 => [1,3,1,1,1] => 219
[1,4,3,8,2,6,7,5] => 0101001 => [1,1,1,1,2,1] => 345
[5,4,8,3,2,1,6,7] => 1011100 => [1,1,3,2] => 171
[5,4,3,7,2,6,1,8] => 1101010 => [2,1,1,1,1,1] => 297
[4,3,6,2,7,5,1,8] => 1010110 => [1,1,1,1,2,1] => 345
[4,6,3,2,1,8,5,7] => 0111010 => [1,3,1,1,1] => 219
[4,1,7,3,2,5,8,6] => 1011001 => [1,1,2,2,1] => 295
[4,3,1,7,8,2,6,5] => 1100101 => [2,2,1,1,1] => 255
[3,5,1,2,7,8,6,4] => 0100011 => [1,1,3,2] => 171
[7,5,1,4,8,2,6,3] => 1100101 => [2,2,1,1,1] => 255
[5,4,7,3,8,6,1,2] => 1010110 => [1,1,1,1,2,1] => 345
[5,8,4,7,6,3,1,2] => 0101110 => [1,1,1,3,1] => 219
[5,8,7,1,4,2,6,3] => 0110101 => [1,2,1,1,1,1] => 345
[8,3,5,1,2,7,6,4] => 1010011 => [1,1,1,2,2] => 255
[4,8,3,1,7,2,6,5] => 0110101 => [1,2,1,1,1,1] => 345
[1,8,4,3,5,2,7,6] => 0110101 => [1,2,1,1,1,1] => 345
[4,6,3,1,5,2,8,7] => 0110101 => [1,2,1,1,1,1] => 345
[4,7,3,6,5,2,1,8] => 0101110 => [1,1,1,3,1] => 219
[5,3,7,6,4,2,1,8] => 1011110 => [1,1,4,1] => 107
[1,6,3,4,2,8,7,5] => 0101011 => [1,1,1,1,1,2] => 297
[1,8,3,6,2,7,5,4] => 0101011 => [1,1,1,1,1,2] => 297
[1,6,8,7,4,2,5,3] => 0011101 => [2,3,1,1] => 171
[6,4,8,7,5,3,1,2] => 1011110 => [1,1,4,1] => 107
[7,6,4,3,8,5,1,2] => 1110110 => [3,1,2,1] => 137
[1,7,6,2,8,4,5,3] => 0110101 => [1,2,1,1,1,1] => 345
[7,1,3,2,6,8,5,4] => 1010011 => [1,1,1,2,2] => 255
[1,5,3,2,7,4,8,6] => 0110101 => [1,2,1,1,1,1] => 345
[6,3,2,1,8,5,4,7] => 1110110 => [3,1,2,1] => 137
[6,5,3,2,7,4,1,8] => 1110110 => [3,1,2,1] => 137
[5,2,6,3,7,4,1,8] => 1010110 => [1,1,1,1,2,1] => 345
[2,8,5,3,1,6,4,7] => 0111010 => [1,3,1,1,1] => 219
[2,1,7,3,8,5,4,6] => 1010110 => [1,1,1,1,2,1] => 345
[1,6,2,3,7,8,5,4] => 0100011 => [1,1,3,2] => 171
[1,6,7,2,8,4,5,3] => 0010101 => [2,1,1,1,1,1] => 297
[5,7,1,8,2,4,6,3] => 0101001 => [1,1,1,1,2,1] => 345
[5,1,2,7,8,3,6,4] => 1000101 => [1,3,1,1,1] => 219
[2,4,1,7,8,6,3,5] => 0100110 => [1,1,2,2,1] => 295
[4,2,1,7,3,8,5,6] => 1101010 => [2,1,1,1,1,1] => 297
[6,2,8,4,3,1,5,7] => 1011100 => [1,1,3,2] => 171
[7,3,2,1,8,4,5,6] => 1110100 => [3,1,1,2] => 117
[7,8,3,2,5,6,1,4] => 0110010 => [1,2,2,1,1] => 295
[7,1,8,2,4,5,6,3] => 1010001 => [1,1,1,3,1] => 219
[8,7,6,1,2,4,5,3] => 1110001 => [3,3,1] => 95
[8,3,7,6,2,1,4,5] => 1011100 => [1,1,3,2] => 171
[3,2,8,7,5,1,4,6] => 1011100 => [1,1,3,2] => 171
[8,3,6,5,2,1,4,7] => 1011100 => [1,1,3,2] => 171
[7,6,3,5,2,4,1,8] => 1101010 => [2,1,1,1,1,1] => 297
[7,4,6,2,5,3,1,8] => 1010110 => [1,1,1,1,2,1] => 345
[8,2,4,1,6,5,3,7] => 1010110 => [1,1,1,1,2,1] => 345
[4,2,8,1,7,5,3,6] => 1010110 => [1,1,1,1,2,1] => 345
[8,2,4,1,7,6,3,5] => 1010110 => [1,1,1,1,2,1] => 345
[8,7,1,5,6,2,4,3] => 1100101 => [2,2,1,1,1] => 255
[8,5,7,3,6,4,1,2] => 1010110 => [1,1,1,1,2,1] => 345
[6,8,3,7,5,4,1,2] => 0101110 => [1,1,1,3,1] => 219
[8,1,6,7,5,2,4,3] => 1001101 => [1,2,2,1,1] => 295
[8,1,2,6,4,3,7,5] => 1001101 => [1,2,2,1,1] => 295
[2,8,1,7,5,4,3,6] => 0101110 => [1,1,1,3,1] => 219
[2,5,1,8,6,4,3,7] => 0101110 => [1,1,1,3,1] => 219
[5,7,2,6,4,3,1,8] => 0101110 => [1,1,1,3,1] => 219
[6,2,7,5,4,3,1,8] => 1011110 => [1,1,4,1] => 107
[2,1,8,6,5,4,3,7] => 1011110 => [1,1,4,1] => 107
[1,2,7,5,4,3,8,6] => 0011101 => [2,3,1,1] => 171
[1,7,2,4,3,8,6,5] => 0101011 => [1,1,1,1,1,2] => 297
[1,7,2,8,3,6,5,4] => 0101011 => [1,1,1,1,1,2] => 297
[1,7,8,6,5,2,4,3] => 0011101 => [2,3,1,1] => 171
[7,3,8,6,5,4,1,2] => 1011110 => [1,1,4,1] => 107
[1,8,7,6,5,2,4,3] => 0111101 => [1,4,1,1] => 107
[8,1,7,3,2,6,5,4] => 1011011 => [1,1,2,1,2] => 252
[5,1,4,3,2,8,7,6] => 1011011 => [1,1,2,1,2] => 252
[8,6,5,3,2,1,7,4] => 1111101 => [5,1,1] => 27
[8,6,3,2,1,7,4,5] => 1111010 => [4,1,1,1] => 75
[8,6,5,4,1,7,2,3] => 1111010 => [4,1,1,1] => 75
[8,6,5,1,7,3,2,4] => 1110110 => [3,1,2,1] => 137
[8,6,1,7,4,3,2,5] => 1101110 => [2,1,3,1] => 157
[4,6,3,2,7,5,1,8] => 0110110 => [1,2,1,2,1] => 281
[1,4,3,7,2,5,8,6] => 0101001 => [1,1,1,1,2,1] => 345
[7,4,8,3,1,6,2,5] => 1011010 => [1,1,2,1,1,1] => 359
[7,1,5,8,3,2,6,4] => 1001101 => [1,2,2,1,1] => 295
[5,7,4,1,8,2,6,3] => 0110101 => [1,2,1,1,1,1] => 345
[5,7,4,3,1,8,6,2] => 0111011 => [1,3,1,2] => 157
[1,8,7,2,5,4,6,3] => 0110101 => [1,2,1,1,1,1] => 345
[1,8,5,3,7,2,6,4] => 0110101 => [1,2,1,1,1,1] => 345
[4,3,1,8,7,5,2,6] => 1101110 => [2,1,3,1] => 157
[1,4,8,6,3,5,2,7] => 0011010 => [2,2,1,1,1] => 255
[7,4,6,3,5,2,1,8] => 1010110 => [1,1,1,1,2,1] => 345
[1,3,5,6,8,4,2,7] => 0000110 => [4,2,1] => 65
[3,5,4,8,7,1,2,6] => 0101100 => [1,1,1,2,2] => 255
[3,1,4,6,8,7,2,5] => 1000110 => [1,3,2,1] => 185
[1,6,3,8,7,2,5,4] => 0101101 => [1,1,1,2,1,1] => 359
[1,6,2,4,8,7,5,3] => 0100111 => [1,1,2,3] => 145
[8,4,1,6,7,5,3,2] => 1100111 => [2,2,3] => 105
[7,1,6,4,8,5,2,3] => 1010110 => [1,1,1,1,2,1] => 345
[7,3,6,8,5,1,2,4] => 1001100 => [1,2,2,2] => 211
[1,3,7,2,6,8,4,5] => 0010010 => [2,1,2,1,1] => 252
[3,6,5,2,8,1,4,7] => 0110100 => [1,2,1,1,2] => 241
[3,6,5,7,2,4,1,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,2,6,3,8,1,5,7] => 1010100 => [1,1,1,1,1,2] => 297
[4,2,6,7,3,5,1,8] => 1001010 => [1,2,1,1,1,1] => 345
[3,6,2,4,7,5,1,8] => 0100110 => [1,1,2,2,1] => 295
[3,6,2,4,1,8,5,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[7,3,8,2,1,6,4,5] => 1011010 => [1,1,2,1,1,1] => 359
[7,3,5,2,1,8,6,4] => 1011011 => [1,1,2,1,2] => 252
[8,7,6,4,3,1,5,2] => 1111101 => [5,1,1] => 27
[8,7,6,4,1,5,2,3] => 1111010 => [4,1,1,1] => 75
[3,8,7,2,1,4,6,5] => 0111001 => [1,3,2,1] => 185
[3,8,2,7,1,5,4,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,6,8,2,1,5,4,7] => 0011010 => [2,2,1,1,1] => 255
[2,4,8,1,6,5,3,7] => 0010110 => [2,1,1,2,1] => 241
[4,2,8,1,5,7,3,6] => 1010010 => [1,1,1,2,1,1] => 359
[8,5,7,6,1,4,2,3] => 1011010 => [1,1,2,1,1,1] => 359
[8,6,1,7,3,5,4,2] => 1101011 => [2,1,1,1,2] => 207
[8,6,1,7,5,4,2,3] => 1101110 => [2,1,3,1] => 157
[1,6,2,8,7,3,5,4] => 0101101 => [1,1,1,2,1,1] => 359
[1,8,2,4,6,7,3,5] => 0100010 => [1,1,3,1,1] => 233
[2,8,5,4,7,1,3,6] => 0110100 => [1,2,1,1,2] => 241
[2,1,5,8,6,4,3,7] => 1001110 => [1,2,3,1] => 185
[7,2,5,6,4,3,1,8] => 1001110 => [1,2,3,1] => 185
[1,2,5,7,8,4,3,6] => 0000110 => [4,2,1] => 65
[1,2,7,4,8,6,3,5] => 0010110 => [2,1,1,2,1] => 241
[1,2,7,8,3,6,5,4] => 0001011 => [3,1,1,2] => 117
[7,1,8,6,3,5,4,2] => 1011011 => [1,1,2,1,2] => 252
[1,8,7,6,3,5,2,4] => 0111010 => [1,3,1,1,1] => 219
[1,8,7,4,6,3,2,5] => 0110110 => [1,2,1,2,1] => 281
[7,1,5,8,3,4,6,2] => 1001001 => [1,2,1,2,1] => 281
[7,1,6,4,2,3,5,8] => 1011000 => [1,1,2,3] => 145
[8,6,2,4,7,3,5,1] => 1100101 => [2,2,1,1,1] => 255
[8,6,2,4,5,7,3,1] => 1100011 => [2,3,2] => 126
[2,7,1,4,5,8,3,6] => 0100010 => [1,1,3,1,1] => 233
[7,1,6,4,5,2,3,8] => 1010100 => [1,1,1,1,1,2] => 297
[7,1,4,5,6,8,2,3] => 1000010 => [1,4,1,1] => 107
[7,1,4,6,5,8,3,2] => 1001011 => [1,2,1,1,2] => 241
[7,1,2,3,8,5,4,6] => 1000110 => [1,3,2,1] => 185
[7,1,5,4,3,8,2,6] => 1011010 => [1,1,2,1,1,1] => 359
[7,1,3,4,2,6,8,5] => 1001001 => [1,2,1,2,1] => 281
[7,1,5,4,6,2,8,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,1,5,6,4,3,8,2] => 1001101 => [1,2,2,1,1] => 295
[7,1,6,5,4,3,2,8] => 1011110 => [1,1,4,1] => 107
[8,6,2,5,4,3,7,1] => 1101101 => [2,1,2,1,1] => 252
[2,5,1,7,4,3,6,8] => 0101100 => [1,1,1,2,2] => 255
[2,5,1,4,7,8,6,3] => 0100011 => [1,1,3,2] => 171
[3,5,1,4,8,6,2,7] => 0100110 => [1,1,2,2,1] => 295
[3,6,2,4,7,8,1,5] => 0100010 => [1,1,3,1,1] => 233
[5,6,2,4,8,7,1,3] => 0100110 => [1,1,2,2,1] => 295
[6,3,8,2,4,7,1,5] => 1010010 => [1,1,1,2,1,1] => 359
[6,5,8,7,2,3,1,4] => 1011010 => [1,1,2,1,1,1] => 359
[6,5,7,8,2,4,1,3] => 1001010 => [1,2,1,1,1,1] => 345
[6,3,4,2,8,5,1,7] => 1010110 => [1,1,1,1,2,1] => 345
[3,4,7,2,5,8,1,6] => 0010010 => [2,1,2,1,1] => 252
[4,6,8,1,3,5,2,7] => 0010010 => [2,1,2,1,1] => 252
[4,3,8,1,2,7,5,6] => 1010010 => [1,1,1,2,1,1] => 359
[3,6,4,1,7,2,5,8] => 0110100 => [1,2,1,1,2] => 241
[2,8,3,1,5,6,4,7] => 0110010 => [1,2,2,1,1] => 295
[3,8,7,1,5,4,2,6] => 0110110 => [1,2,1,2,1] => 281
[4,3,1,7,6,8,2,5] => 1101010 => [2,1,1,1,1,1] => 297
[3,4,1,7,5,6,8,2] => 0101001 => [1,1,1,1,2,1] => 345
[3,4,1,5,7,6,2,8] => 0100110 => [1,1,2,2,1] => 295
[3,7,4,1,6,2,8,5] => 0110101 => [1,2,1,1,1,1] => 345
[8,4,7,2,5,3,6,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,7,8,1,2,3,6,5] => 0010001 => [2,1,3,1] => 157
[2,8,6,1,5,3,7,4] => 0110101 => [1,2,1,1,1,1] => 345
[7,6,5,1,3,8,2,4] => 1110010 => [3,2,1,1] => 145
[7,6,5,1,3,4,8,2] => 1110001 => [3,3,1] => 95
[7,2,6,4,1,3,8,5] => 1011001 => [1,1,2,2,1] => 295
[6,7,5,2,1,3,8,4] => 0111001 => [1,3,2,1] => 185
[8,4,5,3,7,2,6,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,7,5,2,8,1,6,3] => 0110101 => [1,2,1,1,1,1] => 345
[2,6,4,3,1,5,7,8] => 0111000 => [1,3,3] => 95
[7,3,8,4,1,5,2,6] => 1011010 => [1,1,2,1,1,1] => 359
[7,2,3,4,1,6,5,8] => 1001010 => [1,2,1,1,1,1] => 345
[4,2,8,3,6,1,5,7] => 1010100 => [1,1,1,1,1,2] => 297
[6,8,5,7,2,1,3,4] => 0101100 => [1,1,1,2,2] => 255
[4,8,5,2,7,1,3,6] => 0110100 => [1,2,1,1,2] => 241
[6,3,5,2,1,7,4,8] => 1011010 => [1,1,2,1,1,1] => 359
[6,8,5,3,1,4,2,7] => 0111010 => [1,3,1,1,1] => 219
[3,6,5,4,2,8,1,7] => 0111010 => [1,3,1,1,1] => 219
[1,6,4,7,2,5,3,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,6,4,8,2,5,3,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,6,5,8,2,4,3,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,6,8,2,4,3,7,5] => 0010101 => [2,1,1,1,1,1] => 297
[1,6,2,4,3,7,8,5] => 0101001 => [1,1,1,1,2,1] => 345
[1,5,6,2,4,7,3,8] => 0010010 => [2,1,2,1,1] => 252
[1,5,6,2,4,7,8,3] => 0010001 => [2,1,3,1] => 157
[1,5,8,2,4,7,3,6] => 0010010 => [2,1,2,1,1] => 252
[1,5,7,2,4,8,3,6] => 0010010 => [2,1,2,1,1] => 252
[1,6,5,7,2,4,3,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,6,7,2,4,3,8,5] => 0010101 => [2,1,1,1,1,1] => 297
[1,5,6,7,2,4,8,3] => 0001001 => [3,1,2,1] => 137
[1,5,8,2,4,6,7,3] => 0010001 => [2,1,3,1] => 157
[1,5,7,2,4,6,8,3] => 0010001 => [2,1,3,1] => 157
[1,5,7,8,3,2,4,6] => 0001100 => [3,2,2] => 105
[1,5,8,3,2,4,6,7] => 0011000 => [2,2,3] => 105
[1,5,6,2,4,8,3,7] => 0010010 => [2,1,2,1,1] => 252
[1,7,6,2,8,3,4,5] => 0110100 => [1,2,1,1,2] => 241
[1,7,3,4,2,8,6,5] => 0101011 => [1,1,1,1,1,2] => 297
[1,6,2,4,3,8,7,5] => 0101011 => [1,1,1,1,1,2] => 297
[1,5,6,2,4,8,7,3] => 0010011 => [2,1,2,2] => 180
[1,5,8,7,3,2,4,6] => 0011100 => [2,3,2] => 126
[1,4,2,3,5,8,7,6] => 0100011 => [1,1,3,2] => 171
[1,5,2,3,4,8,7,6] => 0100011 => [1,1,3,2] => 171
[1,6,5,2,3,8,7,4] => 0110011 => [1,2,2,2] => 211
[1,7,4,2,8,6,5,3] => 0110111 => [1,2,1,3] => 137
[1,7,6,5,2,8,4,3] => 0111011 => [1,3,1,2] => 157
[1,6,7,5,2,3,8,4] => 0011001 => [2,2,2,1] => 211
[1,7,5,2,8,4,3,6] => 0110110 => [1,2,1,2,1] => 281
[1,7,5,6,2,8,3,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,5,7,6,2,4,8,3] => 0011001 => [2,2,2,1] => 211
[1,5,8,3,2,4,7,6] => 0011001 => [2,2,2,1] => 211
[1,6,5,2,3,7,4,8] => 0110010 => [1,2,2,1,1] => 295
[1,6,5,2,3,7,8,4] => 0110001 => [1,2,3,1] => 185
[1,6,8,4,2,3,7,5] => 0011001 => [2,2,2,1] => 211
[1,7,4,6,2,8,3,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,7,3,5,2,8,4,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,6,8,5,2,3,7,4] => 0011001 => [2,2,2,1] => 211
[1,6,4,2,3,7,8,5] => 0110001 => [1,2,3,1] => 185
[1,6,4,2,3,7,5,8] => 0110010 => [1,2,2,1,1] => 295
[1,5,8,6,2,4,7,3] => 0011001 => [2,2,2,1] => 211
[1,5,7,3,2,4,8,6] => 0011001 => [2,2,2,1] => 211
[1,7,3,4,2,8,5,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,7,4,2,8,5,3,6] => 0110110 => [1,2,1,2,1] => 281
[1,6,7,4,2,3,8,5] => 0011001 => [2,2,2,1] => 211
[1,6,4,2,3,8,5,7] => 0110010 => [1,2,2,1,1] => 295
[1,7,6,4,2,8,5,3] => 0111011 => [1,3,1,2] => 157
[1,7,5,2,8,6,4,3] => 0110111 => [1,2,1,3] => 137
[1,6,4,2,3,8,7,5] => 0110011 => [1,2,2,2] => 211
[7,3,5,6,1,4,8,2] => 1001001 => [1,2,1,2,1] => 281
[3,7,5,6,1,4,8,2] => 0101001 => [1,1,1,1,2,1] => 345
[8,2,4,1,6,7,5,3] => 1010011 => [1,1,1,2,2] => 255
[8,6,1,4,2,7,5,3] => 1101011 => [2,1,1,1,2] => 207
[3,6,1,4,2,8,5,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,6,7,4,3,5,8,2] => 0011001 => [2,2,2,1] => 211
[6,7,1,4,3,5,8,2] => 0101001 => [1,1,1,1,2,1] => 345
[7,6,1,4,3,5,8,2] => 1101001 => [2,1,1,2,1] => 241
[3,5,4,1,6,7,8,2] => 0110001 => [1,2,3,1] => 185
[4,7,1,6,3,5,8,2] => 0101001 => [1,1,1,1,2,1] => 345
[3,1,4,7,6,5,8,2] => 1001101 => [1,2,2,1,1] => 295
[6,1,7,4,3,5,8,2] => 1011001 => [1,1,2,2,1] => 295
[7,1,6,4,3,5,8,2] => 1011001 => [1,1,2,2,1] => 295
[1,7,6,4,3,5,8,2] => 0111001 => [1,3,2,1] => 185
[8,1,6,4,2,7,5,3] => 1011011 => [1,1,2,1,2] => 252
[8,4,1,3,7,2,5,6] => 1100100 => [2,2,1,2] => 180
[4,7,1,3,8,2,5,6] => 0100100 => [1,1,2,1,2] => 252
[7,4,1,3,8,2,5,6] => 1100100 => [2,2,1,2] => 180
[1,3,6,4,2,8,5,7] => 0011010 => [2,2,1,1,1] => 255
[4,7,3,1,2,8,5,6] => 0110010 => [1,2,2,1,1] => 295
[4,7,8,1,2,6,5,3] => 0010011 => [2,1,2,2] => 180
[6,8,1,4,2,7,5,3] => 0101011 => [1,1,1,1,1,2] => 297
[1,8,6,4,2,7,5,3] => 0111011 => [1,3,1,2] => 157
[4,8,1,3,7,2,5,6] => 0100100 => [1,1,2,1,2] => 252
[8,7,1,3,6,2,5,4] => 1100101 => [2,2,1,1,1] => 255
[6,8,5,7,3,2,1,4] => 0101110 => [1,1,1,3,1] => 219
[1,8,4,3,7,2,5,6] => 0110100 => [1,2,1,1,2] => 241
[2,8,3,4,7,6,1,5] => 0100110 => [1,1,2,2,1] => 295
[3,7,8,4,6,2,1,5] => 0010110 => [2,1,1,2,1] => 241
[3,7,4,6,8,2,1,5] => 0100110 => [1,1,2,2,1] => 295
[2,4,3,7,8,6,1,5] => 0100110 => [1,1,2,2,1] => 295
[1,4,7,3,8,2,5,6] => 0010100 => [2,1,1,1,2] => 207
[5,7,6,8,3,2,1,4] => 0101110 => [1,1,1,3,1] => 219
[2,5,3,4,8,6,1,7] => 0100110 => [1,1,2,2,1] => 295
[3,7,5,4,8,2,1,6] => 0110110 => [1,2,1,2,1] => 281
[7,1,3,4,2,8,5,6] => 1001010 => [1,2,1,1,1,1] => 345
[6,1,4,3,8,2,5,7] => 1010100 => [1,1,1,1,1,2] => 297
[4,1,7,3,8,2,5,6] => 1010100 => [1,1,1,1,1,2] => 297
[8,1,4,3,7,2,5,6] => 1010100 => [1,1,1,1,1,2] => 297
[8,2,3,4,7,6,1,5] => 1000110 => [1,3,2,1] => 185
[4,2,3,7,8,6,1,5] => 1000110 => [1,3,2,1] => 185
[5,2,3,4,8,6,1,7] => 1000110 => [1,3,2,1] => 185
[2,7,5,6,3,8,1,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,7,2,6,3,8,1,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,7,2,6,8,4,1,3] => 0100110 => [1,1,2,2,1] => 295
[7,2,5,6,8,4,1,3] => 1000110 => [1,3,2,1] => 185
[4,2,3,8,5,6,1,7] => 1001010 => [1,2,1,1,1,1] => 345
[5,2,3,8,7,6,1,4] => 1001110 => [1,2,3,1] => 185
[8,2,3,7,5,6,1,4] => 1001010 => [1,2,1,1,1,1] => 345
[6,1,8,3,7,2,5,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[1,7,8,4,2,6,5,3] => 0011011 => [2,2,1,2] => 180
[4,7,1,8,2,5,6,3] => 0101001 => [1,1,1,1,2,1] => 345
[3,7,4,8,5,2,1,6] => 0101110 => [1,1,1,3,1] => 219
[2,4,3,8,5,6,1,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,4,8,3,6,2,5,7] => 0010100 => [2,1,1,1,2] => 207
[7,5,8,6,3,2,1,4] => 1011110 => [1,1,4,1] => 107
[6,5,8,7,3,2,1,4] => 1011110 => [1,1,4,1] => 107
[8,5,7,6,3,2,1,4] => 1011110 => [1,1,4,1] => 107
[2,5,3,8,7,6,1,4] => 0101110 => [1,1,1,3,1] => 219
[3,7,5,8,6,2,1,4] => 0101110 => [1,1,1,3,1] => 219
[3,7,8,6,5,2,1,4] => 0011110 => [2,4,1] => 81
[1,8,7,3,6,2,5,4] => 0110101 => [1,2,1,1,1,1] => 345
[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] => 429
[3,7,6,8,4,5,1,2] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,5,4,7,6,8,2,3] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,7,4,6,5,8,2,3] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,7,4,6,5,8,1,2] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,5,4,8,6,7,1,2] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,8,4,6,5,7,1,2] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,6,4,7,5,8,1,2] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,6,2,7,5,8,3,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,6,4,8,5,7,2,3] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,8,4,6,5,7,2,3] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,5,4,8,6,7,2,3] => 0101010 => [1,1,1,1,1,1,1] => 429
[7,8,1,5,4,6,2,3] => 0101010 => [1,1,1,1,1,1,1] => 429
[7,8,1,5,2,4,3,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,8,2,6,5,7,3,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,7,2,8,5,6,3,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,7,2,6,5,8,3,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,5,2,7,6,8,3,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,7,6,8,2,5,3,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,7,6,8,4,5,2,3] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,7,6,8,1,4,2,3] => 0101010 => [1,1,1,1,1,1,1] => 429
[7,8,5,6,1,3,2,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,8,6,7,1,3,2,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,3,2,7,6,8,4,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,7,6,8,2,4,3,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[7,8,1,3,2,6,4,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[7,8,1,6,2,4,3,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,8,6,7,2,4,3,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[7,8,1,4,2,6,3,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[7,8,1,4,2,5,3,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[7,8,2,1,4,3,6,5] => 0110101 => [1,2,1,1,1,1] => 345
[7,8,1,2,4,3,5,6] => 0100100 => [1,1,2,1,2] => 252
[4,3,6,5,8,7,1,2] => 1010110 => [1,1,1,1,2,1] => 345
[3,4,6,5,7,8,1,2] => 0010010 => [2,1,2,1,1] => 252
[3,4,1,5,6,7,8,9,2] => 01000001 => [1,1,5,1] => 170
[3,4,5,1,6,7,8,9,2] => 00100001 => [2,1,4,1] => 303
[3,4,5,6,1,7,8,9,2] => 00010001 => [3,1,3,1] => 332
[3,4,5,6,7,1,8,9,2] => 00001001 => [4,1,2,1] => 235
[3,4,5,6,7,8,1,9,2] => 00000101 => [5,1,1,1] => 110
[3,1,2,5,6,7,8,9,4] => 10000001 => [1,6,1] => 50
[3,4,1,5,6,7,8,9,10,2] => 010000001 => [1,1,6,1] => 254
[3,4,1,2,6,7,8,9,5] => 01000001 => [1,1,5,1] => 170
[3,4,5,1,6,7,8,9,10,2] => 001000001 => [2,1,5,1] => 534
[3,4,5,1,2,7,8,9,6] => 00100001 => [2,1,4,1] => 303
[3,4,5,6,1,7,8,9,10,2] => 000100001 => [3,1,4,1] => 709
[3,4,5,6,1,2,8,9,7] => 00010001 => [3,1,3,1] => 332
[3,4,5,6,7,1,8,9,10,2] => 000010001 => [4,1,3,1] => 626
[3,4,5,6,7,1,2,9,8] => 00001001 => [4,1,2,1] => 235
[3,4,5,6,7,8,1,9,10,2] => 000001001 => [5,1,2,1] => 375
[3,4,5,6,7,8,1,2,9] => 00000100 => [5,1,2] => 83
[3,4,5,6,7,8,9,1,10,2] => 000000101 => [6,1,1,1] => 154
[1,6,2,3,8,7,4,5] => 0100110 => [1,1,2,2,1] => 295
[1,7,4,3,2,8,6,5] => 0111011 => [1,3,1,2] => 157
[1,4,7,6,2,5,8,3] => 0011001 => [2,2,2,1] => 211
[1,2,6,5,3,7,4,8] => 0011010 => [2,2,1,1,1] => 255
[1,2,6,5,3,7,8,4] => 0011001 => [2,2,2,1] => 211
[1,3,7,5,2,6,8,4] => 0011001 => [2,2,2,1] => 211
[1,3,7,4,2,6,8,5] => 0011001 => [2,2,2,1] => 211
[1,2,6,4,3,7,8,5] => 0011001 => [2,2,2,1] => 211
[1,2,6,4,3,7,5,8] => 0011010 => [2,2,1,1,1] => 255
[1,4,7,3,2,5,8,6] => 0011001 => [2,2,2,1] => 211
[1,4,3,2,5,8,6,7] => 0110010 => [1,2,2,1,1] => 295
[1,5,3,2,4,8,6,7] => 0110010 => [1,2,2,1,1] => 295
[1,7,5,3,2,8,6,4] => 0111011 => [1,3,1,2] => 157
[1,5,3,2,4,8,7,6] => 0110011 => [1,2,2,2] => 211
[7,6,5,4,3,1,8,2] => 1111101 => [5,1,1] => 27
[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] => 35
[7,9,6,5,4,3,2,1,8] => 01111110 => [1,6,1] => 50
[9,8,7,6,5,4,3,1,10,2] => 111111101 => [7,1,1] => 44
[1,7,6,5,4,3,9,8,2] => 01111011 => [1,4,1,2] => 303
[7,1,5,4,3,8,6,2] => 1011011 => [1,1,2,1,2] => 252
[3,6,5,4,8,1,7,2] => 0110101 => [1,2,1,1,1,1] => 345
[6,8,1,4,3,2,7,5] => 0101101 => [1,1,1,2,1,1] => 359
[2,8,5,4,3,7,1,6] => 0111010 => [1,3,1,1,1] => 219
[1,9,6,5,4,3,2,8,7] => 01111101 => [1,5,1,1] => 170
[8,10,7,6,5,4,3,2,1,9] => 011111110 => [1,7,1] => 65
[1,8,7,6,5,4,3,10,9,2] => 011111011 => [1,5,1,2] => 534
[8,1,6,5,4,3,9,7,2] => 10111011 => [1,1,3,1,2] => 609
[3,7,6,5,4,9,1,8,2] => 01110101 => [1,3,1,1,1,1] => 770
[7,6,1,4,3,8,5,2] => 1101011 => [2,1,1,1,2] => 207
[4,6,5,8,3,1,7,2] => 0101101 => [1,1,1,2,1,1] => 359
[6,8,5,1,3,2,7,4] => 0110101 => [1,2,1,1,1,1] => 345
[1,8,2,4,3,7,6,5] => 0101011 => [1,1,1,1,1,2] => 297
[7,9,1,5,4,3,2,8,6] => 01011101 => [1,1,1,3,1,1] => 842
[3,8,5,4,7,2,1,6] => 0110110 => [1,2,1,2,1] => 281
[2,9,6,5,4,3,8,1,7] => 01111010 => [1,4,1,1,1] => 410
[1,10,7,6,5,4,3,2,9,8] => 011111101 => [1,6,1,1] => 254
[9,1,7,6,5,4,3,10,8,2] => 101111011 => [1,1,4,1,2] => 1304
[3,8,7,6,5,4,10,1,9,2] => 011110101 => [1,4,1,1,1,1] => 1529
[8,7,1,5,4,3,9,6,2] => 11011011 => [2,1,2,1,2] => 623
[1,3,6,5,4,9,8,7,2] => 00110111 => [2,2,1,3] => 365
[4,7,6,5,9,3,1,8,2] => 01101101 => [1,2,1,2,1,1] => 1006
[7,6,5,1,3,8,4,2] => 1110011 => [3,2,2] => 105
[1,6,3,4,8,7,5,2] => 0100111 => [1,1,2,3] => 145
[1,4,5,8,3,7,6,2] => 0001011 => [3,1,1,2] => 117
[6,8,5,4,1,2,7,3] => 0111001 => [1,3,2,1] => 185
[1,8,5,2,3,7,6,4] => 0110011 => [1,2,2,2] => 211
[7,9,6,1,4,3,2,8,5] => 01101101 => [1,2,1,2,1,1] => 1006
[6,8,2,4,3,7,1,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,8,3,4,7,2,6,5] => 0100101 => [1,1,2,1,1,1] => 359
[1,9,2,5,4,3,8,7,6] => 01011011 => [1,1,1,2,1,2] => 875
[8,10,1,6,5,4,3,2,9,7] => 010111101 => [1,1,1,4,1,1] => 1754
[7,5,8,4,3,2,1,6] => 1011110 => [1,1,4,1] => 107
[4,8,5,7,3,2,1,6] => 0101110 => [1,1,1,3,1] => 219
[3,9,6,5,4,8,2,1,7] => 01110110 => [1,3,1,2,1] => 646
[2,10,7,6,5,4,3,9,1,8] => 011111010 => [1,5,1,1,1] => 704
[5,1,7,6,8,4,3,2] => 1010111 => [1,1,1,1,3] => 165
[6,4,8,5,2,7,1,3] => 1011010 => [1,1,2,1,1,1] => 359
[5,1,8,6,7,4,3,2] => 1010111 => [1,1,1,1,3] => 165
[8,4,7,5,2,6,1,3] => 1011010 => [1,1,2,1,1,1] => 359
[5,4,6,8,2,1,7,3] => 1001101 => [1,2,2,1,1] => 295
[6,4,5,8,1,2,7,3] => 1001001 => [1,2,1,2,1] => 281
[7,4,6,5,2,1,8,3] => 1011101 => [1,1,3,1,1] => 233
[8,4,6,5,2,1,7,3] => 1011101 => [1,1,3,1,1] => 233
[4,8,7,5,6,1,3,2] => 0110101 => [1,2,1,1,1,1] => 345
[2,7,5,1,8,4,3,6] => 0110110 => [1,2,1,2,1] => 281
[5,1,8,7,4,2,3,6] => 1011100 => [1,1,3,2] => 171
[2,8,6,7,4,3,5,1] => 0101101 => [1,1,1,2,1,1] => 359
[3,6,5,2,4,1,8,7] => 0110101 => [1,2,1,1,1,1] => 345
[5,2,3,6,4,1,8,7] => 1001101 => [1,2,2,1,1] => 295
[6,1,4,5,3,2,8,7] => 1001101 => [1,2,2,1,1] => 295
[3,8,7,1,4,6,5,2] => 0110011 => [1,2,2,2] => 211
[5,7,1,2,4,3,8,6] => 0100101 => [1,1,2,1,1,1] => 359
[4,3,7,6,8,2,5,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,3,6,8,1,7,2,4] => 1001010 => [1,2,1,1,1,1] => 345
[3,2,6,8,5,7,1,4] => 1001010 => [1,2,1,1,1,1] => 345
[6,3,7,2,4,8,5,1] => 1010011 => [1,1,1,2,2] => 255
[7,4,8,6,5,2,1,3] => 1011110 => [1,1,4,1] => 107
[7,1,8,2,5,4,3,6] => 1010110 => [1,1,1,1,2,1] => 345
[2,5,3,7,4,1,8,6] => 0101101 => [1,1,1,2,1,1] => 359
[3,6,4,7,5,1,8,2] => 0101101 => [1,1,1,2,1,1] => 359
[8,4,7,6,2,3,1,5] => 1011010 => [1,1,2,1,1,1] => 359
[8,4,7,1,2,5,6,3] => 1010001 => [1,1,1,3,1] => 219
[4,2,8,7,3,5,6,1] => 1011001 => [1,1,2,2,1] => 295
[8,1,7,4,2,5,6,3] => 1011001 => [1,1,2,2,1] => 295
[7,4,3,8,2,5,6,1] => 1101001 => [2,1,1,2,1] => 241
[6,4,1,5,8,2,7,3] => 1100101 => [2,2,1,1,1] => 255
[2,5,8,7,3,6,1,4] => 0011010 => [2,2,1,1,1] => 255
[2,1,5,8,7,4,6,3] => 1001101 => [1,2,2,1,1] => 295
[8,3,5,6,7,4,1,2] => 1000110 => [1,3,2,1] => 185
[7,4,3,2,8,5,6,1] => 1110101 => [3,1,1,1,1] => 165
[4,2,7,1,8,5,6,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,1,7,2,8,5,6,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[2,4,8,7,3,5,6,1] => 0011001 => [2,2,2,1] => 211
[4,7,8,3,1,5,6,2] => 0011001 => [2,2,2,1] => 211
[3,4,7,2,8,5,6,1] => 0010101 => [2,1,1,1,1,1] => 297
[3,7,1,4,8,5,6,2] => 0100101 => [1,1,2,1,1,1] => 359
[7,2,3,4,8,5,6,1] => 1000101 => [1,3,1,1,1] => 219
[6,1,8,5,2,7,4,3] => 1011011 => [1,1,2,1,2] => 252
[2,1,7,4,5,8,6,3] => 1010011 => [1,1,1,2,2] => 255
[2,1,8,3,6,7,5,4] => 1010011 => [1,1,1,2,2] => 255
[8,2,1,6,4,7,5,3] => 1101011 => [2,1,1,1,2] => 207
[7,8,2,6,4,1,5,3] => 0101101 => [1,1,1,2,1,1] => 359
[2,6,3,5,8,7,1,4] => 0100110 => [1,1,2,2,1] => 295
[7,6,2,1,5,8,4,3] => 1110011 => [3,2,2] => 105
[4,5,2,7,6,1,8,3] => 0101101 => [1,1,1,2,1,1] => 359
[5,1,6,8,4,7,2,3] => 1001010 => [1,2,1,1,1,1] => 345
[3,6,8,7,5,2,1,4] => 0011110 => [2,4,1] => 81
[7,4,8,6,5,2,3,1] => 1011101 => [1,1,3,1,1] => 233
[8,1,6,4,7,3,2,5] => 1010110 => [1,1,1,1,2,1] => 345
[7,6,4,1,2,3,8,5] => 1110001 => [3,3,1] => 95
[2,6,4,8,5,3,7,1] => 0101101 => [1,1,1,2,1,1] => 359
[7,3,5,8,4,2,1,6] => 1001110 => [1,2,3,1] => 185
[3,2,5,8,4,1,7,6] => 1001101 => [1,2,2,1,1] => 295
[8,4,7,1,5,2,3,6] => 1010100 => [1,1,1,1,1,2] => 297
[4,8,7,5,6,1,2,3] => 0110100 => [1,2,1,1,2] => 241
[6,1,4,8,7,3,5,2] => 1001101 => [1,2,2,1,1] => 295
[7,2,8,4,3,5,6,1] => 1011001 => [1,1,2,2,1] => 295
[4,7,8,1,3,5,6,2] => 0010001 => [2,1,3,1] => 157
[8,7,3,4,1,5,6,2] => 1101001 => [2,1,1,2,1] => 241
[4,8,2,7,3,5,6,1] => 0101001 => [1,1,1,1,2,1] => 345
[3,1,8,7,2,5,6,4] => 1011001 => [1,1,2,2,1] => 295
[3,8,1,7,2,5,6,4] => 0101001 => [1,1,1,1,2,1] => 345
[8,2,3,7,1,5,6,4] => 1001001 => [1,2,1,2,1] => 281
[6,4,8,7,1,3,2,5] => 1011010 => [1,1,2,1,1,1] => 359
[2,8,4,6,7,3,1,5] => 0100110 => [1,1,2,2,1] => 295
[4,3,8,2,7,6,1,5] => 1010110 => [1,1,1,1,2,1] => 345
[6,8,4,2,1,3,7,5] => 0111001 => [1,3,2,1] => 185
[7,8,2,4,3,5,6,1] => 0101001 => [1,1,1,1,2,1] => 345
[2,8,3,7,1,5,6,4] => 0101001 => [1,1,1,1,2,1] => 345
[8,1,2,7,3,5,6,4] => 1001001 => [1,2,1,2,1] => 281
[6,4,1,3,2,8,5,7] => 1101010 => [2,1,1,1,1,1] => 297
[5,3,8,6,2,1,4,7] => 1011100 => [1,1,3,2] => 171
[4,6,5,2,8,3,1,7] => 0110110 => [1,2,1,2,1] => 281
[4,3,7,5,1,8,2,6] => 1011010 => [1,1,2,1,1,1] => 359
[6,8,5,2,7,4,3,1] => 0110111 => [1,2,1,3] => 137
[7,2,5,4,3,8,1,6] => 1011010 => [1,1,2,1,1,1] => 359
[3,6,8,1,4,5,2,7] => 0010010 => [2,1,2,1,1] => 252
[6,8,1,2,4,5,3,7] => 0100010 => [1,1,3,1,1] => 233
[8,1,6,2,4,5,3,7] => 1010010 => [1,1,1,2,1,1] => 359
[3,8,6,1,2,5,4,7] => 0110010 => [1,2,2,1,1] => 295
[5,8,1,6,2,3,4,7] => 0101000 => [1,1,1,1,3] => 165
[4,1,6,5,8,2,3,7] => 1010100 => [1,1,1,1,1,2] => 297
[4,3,8,6,2,5,1,7] => 1011010 => [1,1,2,1,1,1] => 359
[8,3,6,1,4,5,2,7] => 1010010 => [1,1,1,2,1,1] => 359
[2,3,6,8,4,5,1,7] => 0001010 => [3,1,1,1,1] => 165
[2,7,5,4,3,8,1,6] => 0111010 => [1,3,1,1,1] => 219
[6,3,8,7,4,2,5,1] => 1011101 => [1,1,3,1,1] => 233
[5,8,4,3,7,6,1,2] => 0110110 => [1,2,1,2,1] => 281
[8,7,4,3,1,6,2,5] => 1111010 => [4,1,1,1] => 75
[1,7,4,3,8,6,2,5] => 0110110 => [1,2,1,2,1] => 281
[7,1,5,3,4,8,2,6] => 1010010 => [1,1,1,2,1,1] => 359
[2,8,6,1,7,4,5,3] => 0110101 => [1,2,1,1,1,1] => 345
[4,8,6,5,7,2,1,3] => 0110110 => [1,2,1,2,1] => 281
[4,7,6,8,2,1,5,3] => 0101101 => [1,1,1,2,1,1] => 359
[6,1,8,7,4,3,5,2] => 1011101 => [1,1,3,1,1] => 233
[8,5,4,3,1,6,7,2] => 1111001 => [4,2,1] => 65
[1,5,8,6,3,4,7,2] => 0011001 => [2,2,2,1] => 211
[2,5,8,6,3,4,7,1] => 0011001 => [2,2,2,1] => 211
[4,1,3,8,5,6,7,2] => 1001001 => [1,2,1,2,1] => 281
[6,5,8,4,3,1,7,2] => 1011101 => [1,1,3,1,1] => 233
[4,6,5,2,8,1,7,3] => 0110101 => [1,2,1,1,1,1] => 345
[7,2,8,1,3,6,4,5] => 1010010 => [1,1,1,2,1,1] => 359
[1,8,5,2,3,6,7,4] => 0110001 => [1,2,3,1] => 185
[1,8,3,2,5,6,7,4] => 0110001 => [1,2,3,1] => 185
[2,8,3,1,5,6,7,4] => 0110001 => [1,2,3,1] => 185
[4,8,3,2,5,6,7,1] => 0110001 => [1,2,3,1] => 185
[8,2,3,1,5,6,7,4] => 1010001 => [1,1,1,3,1] => 219
[2,1,8,3,5,6,7,4] => 1010001 => [1,1,1,3,1] => 219
[1,4,8,2,3,6,7,5] => 0010001 => [2,1,3,1] => 157
[3,1,2,7,8,6,4,5] => 1000110 => [1,3,2,1] => 185
[7,5,1,8,2,4,3,6] => 1101010 => [2,1,1,1,1,1] => 297
[3,5,8,1,2,4,7,6] => 0010001 => [2,1,3,1] => 157
[4,5,8,1,2,3,7,6] => 0010001 => [2,1,3,1] => 157
[4,2,7,1,8,6,3,5] => 1010110 => [1,1,1,1,2,1] => 345
[3,8,4,1,2,6,7,5] => 0110001 => [1,2,3,1] => 185
[5,4,8,2,3,6,7,1] => 1010001 => [1,1,1,3,1] => 219
[5,8,3,6,7,4,1,2] => 0100110 => [1,1,2,2,1] => 295
[2,3,1,6,8,4,7,5] => 0100101 => [1,1,2,1,1,1] => 359
[2,4,3,7,1,8,5,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,4,7,3,2,8,5,6] => 0011010 => [2,2,1,1,1] => 255
[2,7,1,4,3,8,5,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,4,1,8,6,3,7,5] => 0101101 => [1,1,1,2,1,1] => 359
[8,4,1,3,6,2,7,5] => 1100101 => [2,2,1,1,1] => 255
[6,8,5,1,7,2,3,4] => 0110100 => [1,2,1,1,2] => 241
[7,3,6,5,8,2,1,4] => 1010110 => [1,1,1,1,2,1] => 345
[7,6,3,5,8,2,1,4] => 1100110 => [2,2,2,1] => 211
[4,5,8,7,3,6,1,2] => 0011010 => [2,2,1,1,1] => 255
[3,5,2,8,6,1,7,4] => 0101101 => [1,1,1,2,1,1] => 359
[8,2,5,6,1,4,7,3] => 1001001 => [1,2,1,2,1] => 281
[8,6,5,4,1,2,7,3] => 1111001 => [4,2,1] => 65
[2,6,1,8,3,7,5,4] => 0101011 => [1,1,1,1,1,2] => 297
[4,7,1,6,2,8,5,3] => 0101011 => [1,1,1,1,1,2] => 297
[6,1,5,3,8,7,2,4] => 1010110 => [1,1,1,1,2,1] => 345
[2,8,6,3,7,1,5,4] => 0110101 => [1,2,1,1,1,1] => 345
[7,6,1,5,8,2,3,4] => 1100100 => [2,2,1,2] => 180
[3,6,8,5,1,2,7,4] => 0011001 => [2,2,2,1] => 211
[6,5,2,4,8,1,7,3] => 1100101 => [2,2,1,1,1] => 255
[5,1,4,8,2,6,7,3] => 1001001 => [1,2,1,2,1] => 281
[4,8,2,5,1,6,7,3] => 0101001 => [1,1,1,1,2,1] => 345
[3,4,8,5,2,6,7,1] => 0011001 => [2,2,2,1] => 211
[4,2,1,8,5,6,7,3] => 1101001 => [2,1,1,2,1] => 241
[1,5,4,8,2,6,7,3] => 0101001 => [1,1,1,1,2,1] => 345
[7,2,1,5,8,6,3,4] => 1100110 => [2,2,2,1] => 211
[2,8,4,5,1,6,7,3] => 0101001 => [1,1,1,1,2,1] => 345
[5,4,8,3,7,6,1,2] => 1010110 => [1,1,1,1,2,1] => 345
[3,1,5,8,6,2,7,4] => 1001101 => [1,2,2,1,1] => 295
[6,3,4,8,5,1,7,2] => 1001101 => [1,2,2,1,1] => 295
[5,3,4,8,1,6,7,2] => 1001001 => [1,2,1,2,1] => 281
[7,6,1,2,8,3,5,4] => 1100101 => [2,2,1,1,1] => 255
[7,5,8,4,1,2,6,3] => 1011001 => [1,1,2,2,1] => 295
[7,5,8,4,6,1,3,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,5,4,8,7,1,3,2] => 1101101 => [2,1,2,1,1] => 252
[6,5,4,8,1,2,7,3] => 1101001 => [2,1,1,2,1] => 241
[7,5,1,6,2,3,8,4] => 1101001 => [2,1,1,2,1] => 241
[7,5,1,6,8,2,4,3] => 1100101 => [2,2,1,1,1] => 255
[6,5,4,1,8,2,7,3] => 1110101 => [3,1,1,1,1] => 165
[6,5,4,7,1,2,8,3] => 1101001 => [2,1,1,2,1] => 241
[6,5,4,7,8,1,3,2] => 1100101 => [2,2,1,1,1] => 255
[6,5,3,7,1,4,2,8] => 1101010 => [2,1,1,1,1,1] => 297
[6,5,3,1,8,4,2,7] => 1110110 => [3,1,2,1] => 137
[7,5,1,4,8,3,2,6] => 1100110 => [2,2,2,1] => 211
[8,1,6,4,7,3,5,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,5,1,4,8,3,6,2] => 1100101 => [2,2,1,1,1] => 255
[6,5,3,7,1,4,8,2] => 1101001 => [2,1,1,2,1] => 241
[6,4,3,1,5,8,7,2] => 1110011 => [3,2,2] => 105
[7,4,1,5,3,8,6,2] => 1101011 => [2,1,1,1,2] => 207
[8,1,5,4,3,7,6,2] => 1011011 => [1,1,2,1,2] => 252
[8,1,5,4,3,7,2,6] => 1011010 => [1,1,2,1,1,1] => 359
[7,4,1,5,3,8,2,6] => 1101010 => [2,1,1,1,1,1] => 297
[7,4,1,5,3,2,6,8] => 1101100 => [2,1,2,2] => 180
[8,1,5,4,3,2,6,7] => 1011100 => [1,1,3,2] => 171
[8,1,6,4,2,5,3,7] => 1011010 => [1,1,2,1,1,1] => 359
[6,5,3,1,2,7,4,8] => 1110010 => [3,2,1,1] => 145
[6,5,3,8,1,4,2,7] => 1101010 => [2,1,1,1,1,1] => 297
[7,6,8,1,4,3,2,5] => 1010110 => [1,1,1,1,2,1] => 345
[8,1,7,2,5,4,3,6] => 1010110 => [1,1,1,1,2,1] => 345
[8,1,7,2,5,4,6,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,6,1,2,5,4,8,3] => 1100101 => [2,2,1,1,1] => 255
[6,5,3,8,1,4,7,2] => 1101001 => [2,1,1,2,1] => 241
[6,5,3,1,2,7,8,4] => 1110001 => [3,3,1] => 95
[7,5,1,4,2,6,8,3] => 1101001 => [2,1,1,2,1] => 241
[8,1,6,4,2,5,7,3] => 1011001 => [1,1,2,2,1] => 295
[7,4,1,5,3,2,8,6] => 1101101 => [2,1,2,1,1] => 252
[6,4,3,1,5,2,8,7] => 1110101 => [3,1,1,1,1] => 165
[6,4,3,1,5,7,2,8] => 1110010 => [3,2,1,1] => 145
[7,4,1,5,3,6,2,8] => 1101010 => [2,1,1,1,1,1] => 297
[8,1,5,4,3,6,2,7] => 1011010 => [1,1,2,1,1,1] => 359
[8,1,5,4,3,6,7,2] => 1011001 => [1,1,2,2,1] => 295
[7,4,1,5,3,6,8,2] => 1101001 => [2,1,1,2,1] => 241
[6,4,3,1,5,7,8,2] => 1110001 => [3,3,1] => 95
[6,7,3,8,4,5,1,2] => 0101010 => [1,1,1,1,1,1,1] => 429
[6,7,4,5,1,8,2,3] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,7,5,6,2,3,1,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,7,5,6,1,8,2,3] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,7,5,6,3,8,1,2] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,7,5,8,4,6,1,2] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,5,3,8,6,7,1,2] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,8,3,6,5,7,1,2] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,6,4,7,1,8,2,3] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,6,1,7,3,8,2,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,6,1,8,2,7,3,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,6,1,8,4,7,2,3] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,8,1,6,5,7,2,3] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,5,1,8,6,7,2,3] => 0101010 => [1,1,1,1,1,1,1] => 429
[7,8,4,5,1,6,2,3] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,8,2,3,1,6,5,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,6,2,8,1,4,3,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,6,3,4,1,8,2,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,6,4,5,2,7,1,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,6,4,5,1,8,2,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,6,4,8,1,5,3,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,8,3,6,1,5,4,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,8,3,4,1,6,5,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[7,8,2,5,3,4,1,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[7,8,1,5,3,6,2,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,5,3,8,6,7,2,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,8,3,6,2,7,4,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,6,4,8,2,7,3,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,6,4,7,3,5,1,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,7,3,6,4,5,1,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,7,3,6,4,8,2,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,7,2,8,4,6,3,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,7,5,8,4,6,2,3] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,7,5,8,2,6,3,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,7,5,6,3,8,2,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,7,5,6,3,4,1,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[6,7,2,5,3,4,1,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[6,7,1,5,3,8,2,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[6,7,5,8,1,4,2,3] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,8,6,7,2,3,1,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[6,7,2,3,1,8,4,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[6,7,2,8,1,4,3,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,4,2,7,5,6,1,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,4,1,7,5,8,2,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,7,5,8,1,4,3,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,3,1,7,5,8,4,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,3,1,8,4,7,5,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[7,8,2,3,1,6,4,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[7,8,2,6,1,4,3,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,8,6,7,1,4,3,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,8,1,4,3,7,5,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,7,2,5,4,6,1,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,5,2,7,3,6,1,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,5,1,8,2,7,3,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,4,1,8,2,7,5,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,4,1,8,6,7,2,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,4,2,5,1,8,6,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,4,2,8,1,6,5,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,8,2,5,1,6,4,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,5,2,8,1,6,3,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,5,3,6,1,8,2,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[8,6,7,1,4,2,5,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,6,3,7,5,1,2,4] => 1101100 => [2,1,2,2] => 180
[7,6,1,8,3,5,2,4] => 1101010 => [2,1,1,1,1,1] => 297
[7,6,2,8,3,5,1,4] => 1101010 => [2,1,1,1,1,1] => 297
[7,6,2,3,8,5,1,4] => 1100110 => [2,2,2,1] => 211
[8,7,1,5,2,6,3,4] => 1101010 => [2,1,1,1,1,1] => 297
[8,7,1,5,2,3,6,4] => 1101001 => [2,1,1,2,1] => 241
[8,5,2,3,1,7,6,4] => 1101011 => [2,1,1,1,2] => 207
[8,6,2,3,7,1,5,4] => 1100101 => [2,2,1,1,1] => 255
[8,6,2,7,3,1,5,4] => 1101101 => [2,1,2,1,1] => 252
[8,7,2,5,1,6,3,4] => 1101010 => [2,1,1,1,1,1] => 297
[8,4,2,1,7,6,3,5] => 1110110 => [3,1,2,1] => 137
[8,5,7,2,1,4,3,6] => 1011010 => [1,1,2,1,1,1] => 359
[5,8,7,3,1,4,2,6] => 0111010 => [1,3,1,1,1] => 219
[5,8,7,3,1,4,6,2] => 0111001 => [1,3,2,1] => 185
[8,5,7,2,1,4,6,3] => 1011001 => [1,1,2,2,1] => 295
[8,4,2,1,3,7,6,5] => 1110011 => [3,2,2] => 105
[8,4,3,1,7,2,6,5] => 1110101 => [3,1,1,1,1] => 165
[8,6,1,3,7,2,5,4] => 1100101 => [2,2,1,1,1] => 255
[8,5,1,3,2,7,6,4] => 1101011 => [2,1,1,1,2] => 207
[6,1,5,8,4,2,7,3] => 1001101 => [1,2,2,1,1] => 295
[5,2,8,6,4,1,3,7] => 1011100 => [1,1,3,2] => 171
[8,4,7,5,1,6,2,3] => 1011010 => [1,1,2,1,1,1] => 359
[8,4,7,5,1,2,3,6] => 1011000 => [1,1,2,3] => 145
[8,7,3,5,1,2,6,4] => 1101001 => [2,1,1,2,1] => 241
[8,3,2,6,5,1,4,7] => 1101100 => [2,1,2,2] => 180
[4,8,6,3,5,1,2,7] => 0110100 => [1,2,1,1,2] => 241
[4,8,7,3,1,5,2,6] => 0111010 => [1,3,1,1,1] => 219
[8,4,7,2,1,5,3,6] => 1011010 => [1,1,2,1,1,1] => 359
[8,7,3,1,4,2,6,5] => 1110101 => [3,1,1,1,1] => 165
[8,7,3,1,2,6,4,5] => 1110010 => [3,2,1,1] => 145
[8,7,3,1,2,4,6,5] => 1110001 => [3,3,1] => 95
[8,3,2,1,4,7,6,5] => 1110011 => [3,2,2] => 105
[8,3,2,1,7,4,6,5] => 1110101 => [3,1,1,1,1] => 165
[8,3,2,7,1,5,6,4] => 1101001 => [2,1,1,2,1] => 241
[8,4,7,2,1,5,6,3] => 1011001 => [1,1,2,2,1] => 295
[8,7,2,1,6,3,4,5] => 1110100 => [3,1,1,2] => 117
[3,6,5,4,1,2,8,7] => 0111001 => [1,3,2,1] => 185
[3,8,5,6,7,4,1,2] => 0100110 => [1,1,2,2,1] => 295
[4,7,5,8,6,2,1,3] => 0101110 => [1,1,1,3,1] => 219
[2,5,7,8,6,3,4,1] => 0001101 => [3,2,1,1] => 145
[4,8,5,7,6,3,1,2] => 0101110 => [1,1,1,3,1] => 219
[4,6,3,2,1,5,8,7] => 0111001 => [1,3,2,1] => 185
[6,2,1,5,3,4,8,7] => 1101001 => [2,1,1,2,1] => 241
[5,8,1,3,7,6,4,2] => 0100111 => [1,1,2,3] => 145
[4,7,2,3,6,1,8,5] => 0100101 => [1,1,2,1,1,1] => 359
[3,7,4,2,8,1,5,6] => 0110100 => [1,2,1,1,2] => 241
[4,2,6,8,5,7,3,1] => 1001011 => [1,2,1,1,2] => 241
[6,4,2,7,3,8,5,1] => 1101011 => [2,1,1,1,2] => 207
[8,1,6,7,5,3,4,2] => 1001101 => [1,2,2,1,1] => 295
[2,1,5,8,7,6,3,4] => 1001110 => [1,2,3,1] => 185
[2,1,4,7,6,3,8,5] => 1001101 => [1,2,2,1,1] => 295
[6,4,7,8,5,3,2,1] => 1001111 => [1,2,4] => 65
[4,1,3,7,6,2,8,5] => 1001101 => [1,2,2,1,1] => 295
[8,5,1,6,3,2,7,4] => 1101101 => [2,1,2,1,1] => 252
[6,3,7,1,5,2,8,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[3,2,6,8,4,7,5,1] => 1001011 => [1,2,1,1,2] => 241
[8,4,6,1,3,2,5,7] => 1010100 => [1,1,1,1,1,2] => 297
[4,2,8,6,7,3,1,5] => 1010110 => [1,1,1,1,2,1] => 345
[7,4,3,8,2,1,5,6] => 1101100 => [2,1,2,2] => 180
[4,7,5,8,1,6,3,2] => 0101011 => [1,1,1,1,1,2] => 297
[6,4,3,2,7,8,1,5] => 1110010 => [3,2,1,1] => 145
[4,2,5,1,6,7,8,3] => 1010001 => [1,1,1,3,1] => 219
[2,4,8,5,7,1,3,6] => 0010100 => [2,1,1,1,2] => 207
[3,7,1,4,6,8,5,2] => 0100011 => [1,1,3,2] => 171
[7,8,2,5,6,1,4,3] => 0100101 => [1,1,2,1,1,1] => 359
[2,4,3,8,7,5,6,1] => 0101101 => [1,1,1,2,1,1] => 359
[2,6,7,3,5,1,8,4] => 0010101 => [2,1,1,1,1,1] => 297
[7,6,8,4,2,5,3,1] => 1011011 => [1,1,2,1,2] => 252
[8,5,7,1,6,3,2,4] => 1010110 => [1,1,1,1,2,1] => 345
[6,5,7,2,8,4,3,1] => 1010111 => [1,1,1,1,3] => 165
[3,4,8,6,5,2,1,7] => 0011110 => [2,4,1] => 81
[2,7,6,1,4,5,8,3] => 0110001 => [1,2,3,1] => 185
[6,5,8,2,1,7,3,4] => 1011010 => [1,1,2,1,1,1] => 359
[7,4,3,5,1,6,8,2] => 1101001 => [2,1,1,2,1] => 241
[4,1,6,3,5,8,7,2] => 1010011 => [1,1,1,2,2] => 255
[6,2,5,8,4,3,7,1] => 1001101 => [1,2,2,1,1] => 295
[8,6,7,1,5,4,3,2] => 1010111 => [1,1,1,1,3] => 165
[2,1,6,5,8,4,7,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[2,1,6,8,5,4,3,7] => 1001110 => [1,2,3,1] => 185
[4,1,8,5,6,2,3,7] => 1010100 => [1,1,1,1,1,2] => 297
[2,6,4,8,7,3,5,1] => 0101101 => [1,1,1,2,1,1] => 359
[6,2,8,4,3,5,1,7] => 1011010 => [1,1,2,1,1,1] => 359
[4,8,2,7,6,1,3,5] => 0101100 => [1,1,1,2,2] => 255
[3,1,8,2,7,5,4,6] => 1010110 => [1,1,1,1,2,1] => 345
[3,8,1,2,6,7,4,5] => 0100010 => [1,1,3,1,1] => 233
[5,8,4,3,2,7,1,6] => 0111010 => [1,3,1,1,1] => 219
[7,4,8,6,3,2,5,1] => 1011101 => [1,1,3,1,1] => 233
[5,8,4,7,2,1,3,6] => 0101100 => [1,1,1,2,2] => 255
[2,1,8,4,3,7,5,6] => 1011010 => [1,1,2,1,1,1] => 359
[6,3,8,2,4,5,7,1] => 1010001 => [1,1,1,3,1] => 219
[5,8,4,2,3,6,1,7] => 0110010 => [1,2,2,1,1] => 295
[5,8,2,4,3,1,6,7] => 0101100 => [1,1,1,2,2] => 255
[2,8,3,1,6,4,5,7] => 0110100 => [1,2,1,1,2] => 241
[8,2,1,3,4,7,5,6] => 1100010 => [2,3,1,1] => 171
[1,4,8,2,6,3,5,7] => 0010100 => [2,1,1,1,2] => 207
[1,2,7,3,5,4,8,6] => 0010101 => [2,1,1,1,1,1] => 297
[1,2,3,8,4,5,7,6] => 0001001 => [3,1,2,1] => 137
[1,2,8,3,4,5,7,6] => 0010001 => [2,1,3,1] => 157
[1,3,8,2,6,4,5,7] => 0010100 => [2,1,1,1,2] => 207
[1,5,7,2,3,6,4,8] => 0010010 => [2,1,2,1,1] => 252
[1,7,2,3,5,4,8,6] => 0100101 => [1,1,2,1,1,1] => 359
[1,3,8,2,4,5,7,6] => 0010001 => [2,1,3,1] => 157
[1,2,3,8,4,6,7,5] => 0001001 => [3,1,2,1] => 137
[1,8,2,3,5,4,6,7] => 0100100 => [1,1,2,1,2] => 252
[1,7,8,2,3,6,4,5] => 0010010 => [2,1,2,1,1] => 252
[1,6,7,8,2,3,5,4] => 0001001 => [3,1,2,1] => 137
[1,7,8,2,5,3,6,4] => 0010101 => [2,1,1,1,1,1] => 297
[1,7,8,2,4,5,3,6] => 0010010 => [2,1,2,1,1] => 252
[1,2,8,3,6,4,5,7] => 0010100 => [2,1,1,1,2] => 207
[1,8,2,3,6,4,5,7] => 0100100 => [1,1,2,1,2] => 252
[1,2,8,3,5,4,6,7] => 0010100 => [2,1,1,1,2] => 207
[1,2,7,8,3,6,4,5] => 0001010 => [3,1,1,1,1] => 165
[1,5,2,7,8,3,6,4] => 0100101 => [1,1,2,1,1,1] => 359
[1,3,2,8,4,6,7,5] => 0101001 => [1,1,1,1,2,1] => 345
[1,8,2,3,4,6,7,5] => 0100001 => [1,1,4,1] => 107
[1,7,8,2,4,3,6,5] => 0010101 => [2,1,1,1,1,1] => 297
[7,6,3,1,5,2,4,8] => 1110100 => [3,1,1,2] => 117
[6,7,3,1,5,2,8,4] => 0110101 => [1,2,1,1,1,1] => 345
[6,8,3,1,5,2,7,4] => 0110101 => [1,2,1,1,1,1] => 345
[6,8,4,5,1,2,7,3] => 0101001 => [1,1,1,1,2,1] => 345
[6,7,4,5,1,2,8,3] => 0101001 => [1,1,1,1,2,1] => 345
[7,2,1,6,5,3,4,8] => 1101100 => [2,1,2,2] => 180
[7,3,6,1,5,2,4,8] => 1010100 => [1,1,1,1,1,2] => 297
[7,4,6,5,1,2,3,8] => 1011000 => [1,1,2,3] => 145
[6,7,5,4,1,2,8,3] => 0111001 => [1,3,2,1] => 185
[5,8,6,4,1,7,2,3] => 0111010 => [1,3,1,1,1] => 219
[5,7,6,4,1,8,2,3] => 0111010 => [1,3,1,1,1] => 219
[5,6,7,4,1,8,2,3] => 0011010 => [2,2,1,1,1] => 255
[6,5,7,4,1,2,8,3] => 1011001 => [1,1,2,2,1] => 295
[6,4,7,5,1,2,8,3] => 1011001 => [1,1,2,2,1] => 295
[6,2,1,7,5,3,8,4] => 1101101 => [2,1,2,1,1] => 252
[6,3,8,1,5,2,7,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,4,8,5,1,2,7,3] => 1011001 => [1,1,2,2,1] => 295
[6,5,8,4,1,2,7,3] => 1011001 => [1,1,2,2,1] => 295
[5,6,8,4,1,7,2,3] => 0011010 => [2,2,1,1,1] => 255
[4,6,8,5,7,1,2,3] => 0010100 => [2,1,1,1,2] => 207
[4,5,8,6,7,1,2,3] => 0010100 => [2,1,1,1,2] => 207
[5,4,8,6,1,7,2,3] => 1011010 => [1,1,2,1,1,1] => 359
[5,3,8,1,6,7,2,4] => 1010010 => [1,1,1,2,1,1] => 359
[5,2,1,8,6,7,3,4] => 1101010 => [2,1,1,1,1,1] => 297
[5,2,1,7,6,8,3,4] => 1101010 => [2,1,1,1,1,1] => 297
[5,4,7,6,1,8,2,3] => 1011010 => [1,1,2,1,1,1] => 359
[4,5,7,6,8,1,2,3] => 0010100 => [2,1,1,1,2] => 207
[4,6,7,5,8,1,2,3] => 0010100 => [2,1,1,1,2] => 207
[4,8,6,5,7,1,2,3] => 0110100 => [1,2,1,1,2] => 241
[4,8,5,6,7,1,2,3] => 0100100 => [1,1,2,1,2] => 252
[4,7,5,6,8,1,2,3] => 0100100 => [1,1,2,1,2] => 252
[4,6,5,7,8,1,2,3] => 0100100 => [1,1,2,1,2] => 252
[5,7,4,6,1,8,2,3] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,8,4,6,1,7,2,3] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,8,3,1,6,7,2,4] => 0110010 => [1,2,2,1,1] => 295
[5,7,3,1,6,8,2,4] => 0110010 => [1,2,2,1,1] => 295
[5,6,3,1,7,8,2,4] => 0110010 => [1,2,2,1,1] => 295
[6,2,1,4,3,8,7,5] => 1101011 => [2,1,1,1,2] => 207
[5,8,3,1,7,6,2,4] => 0110110 => [1,2,1,2,1] => 281
[5,7,4,8,1,6,2,3] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,2,1,6,8,7,3,4] => 1100110 => [2,2,2,1] => 211
[5,4,6,8,1,7,2,3] => 1001010 => [1,2,1,1,1,1] => 345
[4,5,6,8,7,1,2,3] => 0001100 => [3,2,2] => 105
[4,7,5,8,6,1,2,3] => 0101100 => [1,1,1,2,2] => 255
[4,8,5,7,6,1,2,3] => 0101100 => [1,1,1,2,2] => 255
[4,8,6,7,5,1,2,3] => 0101100 => [1,1,1,2,2] => 255
[4,7,6,8,5,1,2,3] => 0101100 => [1,1,1,2,2] => 255
[4,6,7,8,5,1,2,3] => 0001100 => [3,2,2] => 105
[4,5,7,8,6,1,2,3] => 0001100 => [3,2,2] => 105
[5,4,7,8,1,6,2,3] => 1001010 => [1,2,1,1,1,1] => 345
[5,3,7,1,8,6,2,4] => 1010110 => [1,1,1,1,2,1] => 345
[5,2,1,7,8,6,3,4] => 1100110 => [2,2,2,1] => 211
[5,3,8,1,7,6,2,4] => 1010110 => [1,1,1,1,2,1] => 345
[5,4,8,7,1,6,2,3] => 1011010 => [1,1,2,1,1,1] => 359
[4,6,8,7,5,1,2,3] => 0011100 => [2,3,2] => 126
[4,7,8,6,5,1,2,3] => 0011100 => [2,3,2] => 126
[4,8,7,6,5,1,2,3] => 0111100 => [1,4,2] => 81
[2,5,4,7,3,6,1,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,4,6,3,7,5,1,8] => 0010110 => [2,1,1,2,1] => 241
[4,2,7,3,6,5,1,8] => 1010110 => [1,1,1,1,2,1] => 345
[4,2,6,3,1,5,8,7] => 1011001 => [1,1,2,2,1] => 295
[2,5,3,1,6,4,8,7] => 0110101 => [1,2,1,1,1,1] => 345
[2,5,3,7,6,4,1,8] => 0101110 => [1,1,1,3,1] => 219
[2,6,5,3,7,4,1,8] => 0110110 => [1,2,1,2,1] => 281
[4,2,7,6,3,5,1,8] => 1011010 => [1,1,2,1,1,1] => 359
[2,7,5,3,6,4,1,8] => 0110110 => [1,2,1,2,1] => 281
[2,6,3,7,5,4,1,8] => 0101110 => [1,1,1,3,1] => 219
[1,7,5,2,3,8,4,6] => 0110010 => [1,2,2,1,1] => 295
[2,1,3,7,5,4,8,6] => 1001101 => [1,2,2,1,1] => 295
[2,3,1,8,6,5,4,7] => 0101110 => [1,1,1,3,1] => 219
[2,5,3,1,8,6,4,7] => 0110110 => [1,2,1,2,1] => 281
[4,2,8,3,1,6,5,7] => 1011010 => [1,1,2,1,1,1] => 359
[8,3,2,6,4,1,5,7] => 1101100 => [2,1,2,2] => 180
[3,6,8,2,1,4,5,7] => 0011000 => [2,2,3] => 105
[1,5,2,8,3,4,7,6] => 0101001 => [1,1,1,1,2,1] => 345
[1,2,6,3,8,7,4,5] => 0010110 => [2,1,1,2,1] => 241
[1,2,8,3,6,4,7,5] => 0010101 => [2,1,1,1,1,1] => 297
[1,2,7,6,3,4,8,5] => 0011001 => [2,2,2,1] => 211
[2,1,3,8,7,5,4,6] => 1001110 => [1,2,3,1] => 185
[1,2,3,8,6,4,7,5] => 0001101 => [3,2,1,1] => 145
[1,2,3,7,4,8,6,5] => 0001011 => [3,1,1,2] => 117
[1,2,7,6,3,8,4,5] => 0011010 => [2,2,1,1,1] => 255
[1,2,3,6,4,8,7,5] => 0001011 => [3,1,1,2] => 117
[1,2,3,7,6,4,8,5] => 0001101 => [3,2,1,1] => 145
[2,6,3,1,8,5,4,7] => 0110110 => [1,2,1,2,1] => 281
[2,1,3,8,5,4,7,6] => 1001101 => [1,2,2,1,1] => 295
[7,1,8,4,2,3,5,6] => 1011000 => [1,1,2,3] => 145
[2,1,8,4,3,5,7,6] => 1011001 => [1,1,2,2,1] => 295
[4,2,6,3,1,8,5,7] => 1011010 => [1,1,2,1,1,1] => 359
[5,4,2,8,3,1,6,7] => 1101100 => [2,1,2,2] => 180
[3,5,8,2,4,1,6,7] => 0010100 => [2,1,1,1,2] => 207
[2,5,4,8,3,1,6,7] => 0101100 => [1,1,1,2,2] => 255
[4,2,1,8,3,5,7,6] => 1101001 => [2,1,1,2,1] => 241
[1,8,7,4,2,3,5,6] => 0111000 => [1,3,3] => 95
[1,5,2,8,7,3,4,6] => 0101100 => [1,1,1,2,2] => 255
[1,2,7,3,6,4,8,5] => 0010101 => [2,1,1,1,1,1] => 297
[1,2,8,6,3,7,4,5] => 0011010 => [2,2,1,1,1] => 255
[1,2,7,3,8,6,4,5] => 0010110 => [2,1,1,2,1] => 241
[1,2,3,8,4,7,6,5] => 0001011 => [3,1,1,2] => 117
[1,2,7,3,4,8,6,5] => 0010011 => [2,1,2,2] => 180
[1,2,6,3,8,4,7,5] => 0010101 => [2,1,1,1,1,1] => 297
[1,5,2,3,8,7,4,6] => 0100110 => [1,1,2,2,1] => 295
[4,2,1,8,3,7,5,6] => 1101010 => [2,1,1,1,1,1] => 297
[8,3,2,1,7,4,5,6] => 1110100 => [3,1,1,2] => 117
[1,8,4,2,7,3,5,6] => 0110100 => [1,2,1,1,2] => 241
[1,2,8,6,3,4,7,5] => 0011001 => [2,2,2,1] => 211
[1,2,7,3,8,4,6,5] => 0010101 => [2,1,1,1,1,1] => 297
[1,2,3,8,7,4,6,5] => 0001101 => [3,2,1,1] => 145
[1,2,3,8,7,6,4,5] => 0001110 => [3,3,1] => 95
[2,5,3,8,1,6,4,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,6,4,7,1,5,3,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,6,5,7,1,4,3,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,8,5,7,1,2,6,4] => 0101001 => [1,1,1,1,2,1] => 345
[3,8,5,7,2,6,4,1] => 0101011 => [1,1,1,1,1,2] => 297
[3,4,8,6,2,5,7,1] => 0011001 => [2,2,2,1] => 211
[3,4,8,6,1,2,5,7] => 0011000 => [2,2,3] => 105
[2,5,7,1,4,8,6,3] => 0010011 => [2,1,2,2] => 180
[2,4,8,1,5,7,6,3] => 0010011 => [2,1,2,2] => 180
[2,4,3,8,1,6,5,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,8,1,7,5,6,4,3] => 0101011 => [1,1,1,1,1,2] => 297
[2,3,8,1,6,5,7,4] => 0010101 => [2,1,1,1,1,1] => 297
[2,4,8,1,3,5,7,6] => 0010001 => [2,1,3,1] => 157
[3,5,7,6,1,2,4,8] => 0011000 => [2,2,3] => 105
[3,5,7,6,2,4,8,1] => 0011001 => [2,2,2,1] => 211
[4,8,6,7,2,3,5,1] => 0101001 => [1,1,1,1,2,1] => 345
[4,8,6,7,1,2,3,5] => 0101000 => [1,1,1,1,3] => 165
[4,8,6,7,1,3,5,2] => 0101001 => [1,1,1,1,2,1] => 345
[3,4,8,6,1,5,7,2] => 0011001 => [2,2,2,1] => 211
[3,8,5,7,1,6,4,2] => 0101011 => [1,1,1,1,1,2] => 297
[3,2,8,5,6,1,7,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[3,8,5,7,2,1,6,4] => 0101101 => [1,1,1,2,1,1] => 359
[3,4,8,6,2,1,5,7] => 0011100 => [2,3,2] => 126
[3,5,7,6,2,1,4,8] => 0011100 => [2,3,2] => 126
[4,8,6,7,2,1,3,5] => 0101100 => [1,1,1,2,2] => 255
[4,8,6,7,3,5,2,1] => 0101011 => [1,1,1,1,1,2] => 297
[5,8,6,7,3,4,2,1] => 0101011 => [1,1,1,1,1,2] => 297
[5,8,6,7,2,1,3,4] => 0101100 => [1,1,1,2,2] => 255
[5,8,6,7,2,1,4,3] => 0101101 => [1,1,1,2,1,1] => 359
[4,8,6,7,2,1,5,3] => 0101101 => [1,1,1,2,1,1] => 359
[4,3,1,7,5,2,8,6] => 1101101 => [2,1,2,1,1] => 252
[4,3,2,8,5,1,7,6] => 1101101 => [2,1,2,1,1] => 252
[4,3,8,5,1,6,7,2] => 1011001 => [1,1,2,2,1] => 295
[4,8,6,7,1,5,3,2] => 0101011 => [1,1,1,1,1,2] => 297
[5,8,6,7,1,4,3,2] => 0101011 => [1,1,1,1,1,2] => 297
[5,8,6,7,2,3,4,1] => 0101001 => [1,1,1,1,2,1] => 345
[5,8,6,7,2,4,3,1] => 0101011 => [1,1,1,1,1,2] => 297
[5,8,6,7,1,2,4,3] => 0101001 => [1,1,1,1,2,1] => 345
[4,2,3,8,5,1,6,7] => 1001100 => [1,2,2,2] => 211
[4,2,8,5,1,7,6,3] => 1011011 => [1,1,2,1,2] => 252
[3,4,2,8,5,6,1,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,2,4,8,6,1,5,7] => 1001100 => [1,2,2,2] => 211
[3,2,5,7,6,1,4,8] => 1001100 => [1,2,2,2] => 211
[4,8,6,7,1,3,2,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,8,6,7,1,2,5,3] => 0101001 => [1,1,1,1,2,1] => 345
[4,8,6,7,2,5,3,1] => 0101011 => [1,1,1,1,1,2] => 297
[4,3,8,5,2,6,7,1] => 1011001 => [1,1,2,2,1] => 295
[4,3,8,5,1,2,6,7] => 1011000 => [1,1,2,3] => 145
[4,2,6,7,5,1,3,8] => 1001100 => [1,2,2,2] => 211
[3,8,5,7,1,4,2,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,8,4,7,1,5,2,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,5,2,8,4,6,1,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,5,1,7,4,6,2,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,8,4,7,2,5,1,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,1,3,8,5,2,6,7] => 1001100 => [1,2,2,2] => 211
[4,1,2,6,7,5,3,8] => 1000110 => [1,3,2,1] => 185
[4,2,6,7,5,3,8,1] => 1001101 => [1,2,2,1,1] => 295
[4,8,6,7,3,2,5,1] => 0101101 => [1,1,1,2,1,1] => 359
[4,8,6,7,3,1,2,5] => 0101100 => [1,1,1,2,2] => 255
[3,1,5,7,6,2,4,8] => 1001100 => [1,2,2,2] => 211
[3,4,1,7,5,6,2,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,1,7,5,2,8,6,3] => 1011011 => [1,1,2,1,2] => 252
[4,1,6,7,5,2,3,8] => 1001100 => [1,2,2,2] => 211
[4,8,6,7,2,3,1,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,8,6,7,3,2,4,1] => 0101101 => [1,1,1,2,1,1] => 359
[5,8,6,7,4,2,3,1] => 0101101 => [1,1,1,2,1,1] => 359
[5,8,6,7,4,1,2,3] => 0101100 => [1,1,1,2,2] => 255
[5,8,6,7,4,1,3,2] => 0101101 => [1,1,1,2,1,1] => 359
[5,8,6,7,3,1,4,2] => 0101101 => [1,1,1,2,1,1] => 359
[4,8,6,7,3,1,5,2] => 0101101 => [1,1,1,2,1,1] => 359
[4,1,6,7,5,3,8,2] => 1001101 => [1,2,2,1,1] => 295
[4,1,7,5,3,2,8,6] => 1011101 => [1,1,3,1,1] => 233
[4,2,8,5,3,1,7,6] => 1011101 => [1,1,3,1,1] => 233
[4,2,1,6,7,5,3,8] => 1100110 => [2,2,2,1] => 211
[4,8,6,7,3,2,1,5] => 0101110 => [1,1,1,3,1] => 219
[5,8,6,7,4,2,1,3] => 0101110 => [1,1,1,3,1] => 219
[5,8,6,7,4,3,1,2] => 0101110 => [1,1,1,3,1] => 219
[7,3,5,8,1,4,2,6] => 1001010 => [1,2,1,1,1,1] => 345
[3,8,7,6,1,4,2,5] => 0111010 => [1,3,1,1,1] => 219
[5,1,8,3,6,7,2,4] => 1010010 => [1,1,1,2,1,1] => 359
[1,4,7,8,5,6,2,3] => 0001010 => [3,1,1,1,1] => 165
[3,4,7,1,5,8,6,2] => 0010011 => [2,1,2,2] => 180
[3,6,1,4,7,8,5,2] => 0100011 => [1,1,3,2] => 171
[1,6,8,4,7,5,2,3] => 0010110 => [2,1,1,2,1] => 241
[6,8,1,3,5,7,2,4] => 0100010 => [1,1,3,1,1] => 233
[7,6,1,4,3,8,2,5] => 1101010 => [2,1,1,1,1,1] => 297
[3,8,1,6,5,4,2,7] => 0101110 => [1,1,1,3,1] => 219
[4,1,3,7,5,8,2,6] => 1001010 => [1,2,1,1,1,1] => 345
[6,1,7,3,8,4,2,5] => 1010110 => [1,1,1,1,2,1] => 345
[7,1,8,6,3,5,2,4] => 1011010 => [1,1,2,1,1,1] => 359
[3,1,7,6,5,8,4,2] => 1011011 => [1,1,2,1,2] => 252
[8,2,7,6,5,3,4,1] => 1011101 => [1,1,3,1,1] => 233
[8,4,2,6,7,5,3,1] => 1100111 => [2,2,3] => 105
[4,8,1,6,7,5,3,2] => 0100111 => [1,1,2,3] => 145
[7,4,1,6,8,2,5,3] => 1100101 => [2,2,1,1,1] => 255
[1,3,8,6,2,7,5,4] => 0011011 => [2,2,1,2] => 180
[6,1,3,2,7,8,4,5] => 1010010 => [1,1,1,2,1,1] => 359
[1,8,6,2,5,3,4,7] => 0110100 => [1,2,1,1,2] => 241
[4,7,2,6,8,1,5,3] => 0100101 => [1,1,2,1,1,1] => 359
[8,7,3,6,4,5,2,1] => 1101011 => [2,1,1,1,2] => 207
[5,7,8,6,2,1,4,3] => 0011101 => [2,3,1,1] => 171
[2,7,4,1,6,8,3,5] => 0110010 => [1,2,2,1,1] => 295
[3,7,2,4,5,1,6,8] => 0100100 => [1,1,2,1,2] => 252
[1,8,6,4,5,2,3,7] => 0110100 => [1,2,1,1,2] => 241
[2,8,4,6,5,1,3,7] => 0101100 => [1,1,1,2,2] => 255
[3,4,1,7,5,2,6,8] => 0101100 => [1,1,1,2,2] => 255
[7,5,8,6,1,2,4,3] => 1011001 => [1,1,2,2,1] => 295
[5,6,8,7,3,1,4,2] => 0011101 => [2,3,1,1] => 171
[2,5,4,3,6,8,1,7] => 0110010 => [1,2,2,1,1] => 295
[3,8,5,4,6,2,1,7] => 0110110 => [1,2,1,2,1] => 281
[4,8,2,1,3,7,5,6] => 0110010 => [1,2,2,1,1] => 295
[6,4,1,2,7,5,8,3] => 1100101 => [2,2,1,1,1] => 255
[4,1,8,3,6,7,5,2] => 1010011 => [1,1,1,2,2] => 255
[8,3,7,4,5,2,6,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,3,7,8,5,1,6,2] => 1001101 => [1,2,2,1,1] => 295
[5,4,8,2,7,6,1,3] => 1010110 => [1,1,1,1,2,1] => 345
[1,2,7,3,6,5,8,4] => 0010101 => [2,1,1,1,1,1] => 297
[2,8,7,6,3,4,1,5] => 0111010 => [1,3,1,1,1] => 219
[5,8,2,6,3,4,1,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,1,7,5,8,6,2,3] => 1010110 => [1,1,1,1,2,1] => 345
[5,1,7,8,4,3,6,2] => 1001101 => [1,2,2,1,1] => 295
[8,2,7,5,4,3,6,1] => 1011101 => [1,1,3,1,1] => 233
[6,3,8,1,4,7,5,2] => 1010011 => [1,1,1,2,2] => 255
[3,8,4,5,6,1,2,7] => 0100100 => [1,1,2,1,2] => 252
[1,4,3,5,7,8,2,6] => 0100010 => [1,1,3,1,1] => 233
[6,5,8,7,1,3,4,2] => 1011001 => [1,1,2,2,1] => 295
[3,6,7,2,4,8,1,5] => 0010010 => [2,1,2,1,1] => 252
[1,5,2,7,4,3,8,6] => 0101101 => [1,1,1,2,1,1] => 359
[2,8,5,6,4,3,1,7] => 0101110 => [1,1,1,3,1] => 219
[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] => 429
[4,6,1,8,5,7,2,3] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,7,1,2,8,5,6,3] => 0100101 => [1,1,2,1,1,1] => 359
[1,4,7,2,8,5,6,3] => 0010101 => [2,1,1,1,1,1] => 297
[1,7,3,5,8,6,2,4] => 0100110 => [1,1,2,2,1] => 295
[7,3,5,8,6,1,2,4] => 1001100 => [1,2,2,2] => 211
[3,6,8,1,5,7,2,4] => 0010010 => [2,1,2,1,1] => 252
[3,4,6,5,8,1,7,2] => 0010101 => [2,1,1,1,1,1] => 297
[6,8,1,5,7,2,3,4] => 0100100 => [1,1,2,1,2] => 252
[7,1,2,5,8,6,3,4] => 1000110 => [1,3,2,1] => 185
[1,7,2,5,8,6,3,4] => 0100110 => [1,1,2,2,1] => 295
[1,7,6,8,2,3,5,4] => 0101001 => [1,1,1,1,2,1] => 345
[7,6,8,1,2,3,5,4] => 1010001 => [1,1,1,3,1] => 219
[2,7,1,5,8,6,3,4] => 0100110 => [1,1,2,2,1] => 295
[2,4,7,1,8,5,6,3] => 0010101 => [2,1,1,1,1,1] => 297
[4,7,5,8,3,1,6,2] => 0101101 => [1,1,1,2,1,1] => 359
[4,7,2,1,8,5,6,3] => 0110101 => [1,2,1,1,1,1] => 345
[7,6,8,2,1,3,5,4] => 1011001 => [1,1,2,2,1] => 295
[1,2,7,6,8,3,5,4] => 0010101 => [2,1,1,1,1,1] => 297
[3,7,6,8,2,1,5,4] => 0101101 => [1,1,1,2,1,1] => 359
[7,4,2,1,6,8,5,3] => 1110011 => [3,2,2] => 105
[6,7,4,1,8,5,3,2] => 0110111 => [1,2,1,3] => 137
[6,7,4,3,1,8,5,2] => 0111011 => [1,3,1,2] => 157
[2,7,4,1,6,8,5,3] => 0110011 => [1,2,2,2] => 211
[2,3,7,6,8,1,5,4] => 0010101 => [2,1,1,1,1,1] => 297
[7,4,2,6,8,5,1,3] => 1100110 => [2,2,2,1] => 211
[7,3,2,5,8,6,1,4] => 1100110 => [2,2,2,1] => 211
[3,1,7,6,8,2,5,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[3,7,6,8,1,2,5,4] => 0101001 => [1,1,1,1,2,1] => 345
[1,3,7,6,8,2,5,4] => 0010101 => [2,1,1,1,1,1] => 297
[1,7,4,2,6,8,5,3] => 0110011 => [1,2,2,2] => 211
[7,4,1,2,6,8,5,3] => 1100011 => [2,3,2] => 126
[7,1,4,2,8,5,6,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,1,8,2,5,4,6,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,3,8,4,6,1,5,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,2,8,1,6,4,5,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,1,6,8,5,4,2,3] => 1001110 => [1,2,3,1] => 185
[7,1,2,6,8,5,4,3] => 1000111 => [1,3,3] => 95
[1,7,2,6,8,5,4,3] => 0100111 => [1,1,2,3] => 145
[1,7,6,8,3,2,5,4] => 0101101 => [1,1,1,2,1,1] => 359
[7,6,8,3,1,2,5,4] => 1011001 => [1,1,2,2,1] => 295
[7,1,5,8,6,3,2,4] => 1001110 => [1,2,3,1] => 185
[7,2,5,8,6,3,1,4] => 1001110 => [1,2,3,1] => 185
[3,6,7,1,8,5,4,2] => 0010111 => [2,1,1,3] => 117
[7,2,6,8,5,4,1,3] => 1001110 => [1,2,3,1] => 185
[7,6,8,2,3,1,5,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[2,7,6,8,3,1,5,4] => 0101101 => [1,1,1,2,1,1] => 359
[2,7,1,6,8,5,4,3] => 0100111 => [1,1,2,3] => 145
[6,7,3,1,8,5,4,2] => 0110111 => [1,2,1,3] => 137
[6,7,1,8,5,4,3,2] => 0101111 => [1,1,1,4] => 75
[7,2,1,6,8,5,4,3] => 1100111 => [2,2,3] => 105
[7,6,8,3,2,1,5,4] => 1011101 => [1,1,3,1,1] => 233
[4,7,8,5,6,1,3,2] => 0010101 => [2,1,1,1,1,1] => 297
[4,6,5,8,7,1,3,2] => 0101101 => [1,1,1,2,1,1] => 359
[5,6,4,8,1,2,7,3] => 0101001 => [1,1,1,1,2,1] => 345
[8,1,5,6,7,2,4,3] => 1000101 => [1,3,1,1,1] => 219
[6,4,5,1,8,2,7,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,4,6,7,1,2,8,3] => 1001001 => [1,2,1,2,1] => 281
[4,3,6,7,2,1,5,8] => 1001100 => [1,2,2,2] => 211
[5,3,6,7,1,4,2,8] => 1001010 => [1,2,1,1,1,1] => 345
[8,1,4,6,7,3,2,5] => 1000110 => [1,3,2,1] => 185
[8,1,3,6,7,4,5,2] => 1000101 => [1,3,1,1,1] => 219
[7,2,1,6,8,4,5,3] => 1100101 => [2,2,1,1,1] => 255
[5,2,6,7,1,4,8,3] => 1001001 => [1,2,1,2,1] => 281
[4,2,6,7,3,1,8,5] => 1001101 => [1,2,2,1,1] => 295
[6,2,4,1,5,8,7,3] => 1010011 => [1,1,1,2,2] => 255
[7,2,1,5,4,8,6,3] => 1101011 => [2,1,1,1,2] => 207
[8,1,4,5,3,7,2,6] => 1001010 => [1,2,1,1,1,1] => 345
[7,3,1,5,4,8,2,6] => 1101010 => [2,1,1,1,1,1] => 297
[6,3,4,1,5,8,2,7] => 1010010 => [1,1,1,2,1,1] => 359
[5,3,4,2,1,8,6,7] => 1011010 => [1,1,2,1,1,1] => 359
[4,3,5,2,7,1,6,8] => 1010100 => [1,1,1,1,1,2] => 297
[5,6,3,8,1,4,2,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[8,1,7,2,4,5,6,3] => 1010001 => [1,1,1,3,1] => 219
[7,6,1,2,4,5,8,3] => 1100001 => [2,4,1] => 81
[4,7,8,2,3,1,6,5] => 0010101 => [2,1,1,1,1,1] => 297
[5,6,2,8,1,4,7,3] => 0101001 => [1,1,1,1,2,1] => 345
[6,5,2,1,3,7,8,4] => 1110001 => [3,3,1] => 95
[7,5,1,3,2,6,8,4] => 1101001 => [2,1,1,2,1] => 241
[8,1,6,3,2,5,7,4] => 1011001 => [1,1,2,2,1] => 295
[7,4,1,3,5,2,8,6] => 1100101 => [2,2,1,1,1] => 255
[5,4,2,3,1,6,8,7] => 1101001 => [2,1,1,2,1] => 241
[7,3,1,4,5,6,2,8] => 1100010 => [2,3,1,1] => 171
[8,1,4,3,5,6,2,7] => 1010010 => [1,1,1,2,1,1] => 359
[6,2,3,1,5,7,8,4] => 1010001 => [1,1,1,3,1] => 219
[7,8,4,2,1,6,5,3] => 0111011 => [1,3,1,2] => 157
[7,8,4,2,1,5,6,3] => 0111001 => [1,3,2,1] => 185
[6,2,3,4,8,7,1,5] => 1000110 => [1,3,2,1] => 185
[6,2,3,4,7,8,1,5] => 1000010 => [1,4,1,1] => 107
[7,8,3,4,6,2,1,5] => 0100110 => [1,1,2,2,1] => 295
[7,8,3,6,4,2,1,5] => 0101110 => [1,1,1,3,1] => 219
[7,8,3,5,6,2,1,4] => 0100110 => [1,1,2,2,1] => 295
[6,2,3,8,7,5,1,4] => 1001110 => [1,2,3,1] => 185
[6,2,3,7,8,5,1,4] => 1000110 => [1,3,2,1] => 185
[5,2,6,3,8,1,7,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,3,2,5,8,7,1,4] => 1100110 => [2,2,2,1] => 211
[6,3,2,8,4,7,1,5] => 1101010 => [2,1,1,1,1,1] => 297
[6,4,3,8,7,5,1,2] => 1101110 => [2,1,3,1] => 157
[6,4,3,7,8,5,1,2] => 1100110 => [2,2,2,1] => 211
[6,2,4,1,7,3,5,8] => 1010100 => [1,1,1,1,1,2] => 297
[6,3,2,7,4,8,1,5] => 1101010 => [2,1,1,1,1,1] => 297
[6,3,2,5,7,8,1,4] => 1100010 => [2,3,1,1] => 171
[5,7,2,3,6,1,8,4] => 0100101 => [1,1,2,1,1,1] => 359
[5,8,2,3,6,1,7,4] => 0100101 => [1,1,2,1,1,1] => 359
[4,7,5,8,3,2,1,6] => 0101110 => [1,1,1,3,1] => 219
[4,5,6,8,3,2,1,7] => 0001110 => [3,3,1] => 95
[4,6,8,5,3,2,1,7] => 0011110 => [2,4,1] => 81
[5,6,1,4,2,3,7,8] => 0101000 => [1,1,1,1,3] => 165
[5,6,8,4,3,7,1,2] => 0011010 => [2,2,1,1,1] => 255
[5,6,1,4,2,3,8,7] => 0101001 => [1,1,1,1,2,1] => 345
[5,2,8,3,4,1,7,6] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,5,8,6,3,2,1,7] => 0011110 => [2,4,1] => 81
[4,6,5,8,3,2,1,7] => 0101110 => [1,1,1,3,1] => 219
[4,7,5,6,3,2,1,8] => 0101110 => [1,1,1,3,1] => 219
[6,2,3,4,5,8,1,7] => 1000010 => [1,4,1,1] => 107
[5,1,4,3,6,2,8,7] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,1,4,3,7,2,8,6] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,1,4,3,8,2,7,6] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,6,2,4,1,7,8,3] => 0101001 => [1,1,1,1,2,1] => 345
[5,6,2,4,1,8,7,3] => 0101011 => [1,1,1,1,1,2] => 297
[5,7,2,4,1,8,6,3] => 0101011 => [1,1,1,1,1,2] => 297
[6,1,4,2,8,7,5,3] => 1010111 => [1,1,1,1,3] => 165
[6,1,4,2,7,8,5,3] => 1010011 => [1,1,1,2,2] => 255
[5,8,2,4,1,7,6,3] => 0101011 => [1,1,1,1,1,2] => 297
[5,2,7,4,1,6,8,3] => 1011001 => [1,1,2,2,1] => 295
[5,4,1,3,7,2,6,8] => 1100100 => [2,2,1,2] => 180
[5,1,4,3,6,2,7,8] => 1010100 => [1,1,1,1,1,2] => 297
[5,8,6,4,3,7,1,2] => 0111010 => [1,3,1,1,1] => 219
[5,8,1,4,2,3,7,6] => 0101001 => [1,1,1,1,2,1] => 345
[5,1,6,3,4,2,7,8] => 1010100 => [1,1,1,1,1,2] => 297
[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] => 219
[5,4,7,8,3,2,1,6] => 1001110 => [1,2,3,1] => 185
[5,4,8,7,3,2,1,6] => 1011110 => [1,1,4,1] => 107
[4,6,8,7,3,2,1,5] => 0011110 => [2,4,1] => 81
[4,6,7,8,3,2,1,5] => 0001110 => [3,3,1] => 95
[4,7,6,8,3,2,1,5] => 0101110 => [1,1,1,3,1] => 219
[4,7,8,5,3,2,1,6] => 0011110 => [2,4,1] => 81
[5,7,1,3,4,2,6,8] => 0100100 => [1,1,2,1,2] => 252
[5,1,8,4,2,3,6,7] => 1011000 => [1,1,2,3] => 145
[5,1,7,4,2,3,6,8] => 1011000 => [1,1,2,3] => 145
[5,8,1,3,4,2,6,7] => 0100100 => [1,1,2,1,2] => 252
[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] => 81
[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] => 297
[4,8,2,3,6,7,5,1] => 0100011 => [1,1,3,2] => 171
[4,8,3,1,6,7,5,2] => 0110011 => [1,2,2,2] => 211
[4,3,8,1,6,2,5,7] => 1010100 => [1,1,1,1,1,2] => 297
[1,4,8,7,3,5,2,6] => 0011010 => [2,2,1,1,1] => 255
[4,3,8,7,2,5,1,6] => 1011010 => [1,1,2,1,1,1] => 359
[5,8,4,3,7,1,6,2] => 0110101 => [1,2,1,1,1,1] => 345
[5,8,1,4,7,2,6,3] => 0100101 => [1,1,2,1,1,1] => 359
[5,8,1,7,4,2,3,6] => 0101100 => [1,1,1,2,2] => 255
[6,8,1,2,4,3,5,7] => 0100100 => [1,1,2,1,2] => 252
[5,8,7,1,3,4,2,6] => 0110010 => [1,2,2,1,1] => 295
[4,8,7,6,3,1,2,5] => 0111100 => [1,4,2] => 81
[5,8,4,7,3,1,2,6] => 0101100 => [1,1,1,2,2] => 255
[4,3,8,2,7,5,6,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[1,4,8,3,7,5,6,2] => 0010101 => [2,1,1,1,1,1] => 297
[1,4,3,8,2,6,5,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,3,2,8,1,6,5,7] => 1101010 => [2,1,1,1,1,1] => 297
[4,1,3,8,2,6,5,7] => 1001010 => [1,2,1,1,1,1] => 345
[4,1,8,3,7,5,6,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,1,8,7,3,5,2,6] => 1011010 => [1,1,2,1,1,1] => 359
[3,7,8,1,5,4,2,6] => 0010110 => [2,1,1,2,1] => 241
[7,3,8,1,5,4,6,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[3,4,8,1,6,2,5,7] => 0010100 => [2,1,1,1,2] => 207
[3,4,8,7,2,5,1,6] => 0011010 => [2,2,1,1,1] => 255
[3,4,8,2,7,5,6,1] => 0010101 => [2,1,1,1,1,1] => 297
[1,2,4,8,3,6,5,7] => 0001010 => [3,1,1,1,1] => 165
[1,2,4,3,8,6,5,7] => 0010110 => [2,1,1,2,1] => 241
[3,4,2,1,8,6,5,7] => 0110110 => [1,2,1,2,1] => 281
[3,4,1,8,2,6,5,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,6,7,8,4,1,2,5] => 0001100 => [3,2,2] => 105
[4,1,7,8,5,3,2,6] => 1001110 => [1,2,3,1] => 185
[4,1,2,8,3,6,5,7] => 1001010 => [1,2,1,1,1,1] => 345
[1,4,3,2,8,6,5,7] => 0110110 => [1,2,1,2,1] => 281
[4,2,3,1,8,6,5,7] => 1010110 => [1,1,1,1,2,1] => 345
[3,7,6,8,4,2,1,5] => 0101110 => [1,1,1,3,1] => 219
[4,7,1,8,5,2,3,6] => 0101100 => [1,1,1,2,2] => 255
[2,6,8,7,4,3,1,5] => 0011110 => [2,4,1] => 81
[3,7,8,6,2,4,1,5] => 0011010 => [2,2,1,1,1] => 255
[3,7,8,2,6,4,5,1] => 0010101 => [2,1,1,1,1,1] => 297
[4,2,3,8,1,6,5,7] => 1001010 => [1,2,1,1,1,1] => 345
[4,3,1,8,2,6,5,7] => 1101010 => [2,1,1,1,1,1] => 297
[1,4,7,8,5,3,2,6] => 0001110 => [3,3,1] => 95
[4,3,7,8,5,2,1,6] => 1001110 => [1,2,3,1] => 185
[3,7,2,8,4,6,5,1] => 0101011 => [1,1,1,1,1,2] => 297
[4,2,8,6,3,1,5,7] => 1011100 => [1,1,3,2] => 171
[2,6,8,4,7,3,1,5] => 0010110 => [2,1,1,2,1] => 241
[2,4,8,6,3,1,5,7] => 0011100 => [2,3,2] => 126
[7,3,6,8,4,2,1,5] => 1001110 => [1,2,3,1] => 185
[7,6,2,8,3,5,4,1] => 1101011 => [2,1,1,1,2] => 207
[1,7,3,8,4,6,5,2] => 0101011 => [1,1,1,1,1,2] => 297
[1,3,4,8,2,6,5,7] => 0001010 => [3,1,1,1,1] => 165
[3,2,4,8,1,6,5,7] => 1001010 => [1,2,1,1,1,1] => 345
[7,3,8,6,2,4,1,5] => 1011010 => [1,1,2,1,1,1] => 359
[7,3,8,2,6,4,5,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[2,4,8,3,6,1,5,7] => 0010100 => [2,1,1,1,2] => 207
[6,2,8,7,4,3,5,1] => 1011101 => [1,1,3,1,1] => 233
[7,4,1,8,5,2,6,3] => 1101101 => [2,1,2,1,1] => 252
[7,3,2,8,4,6,5,1] => 1101011 => [2,1,1,1,2] => 207
[2,4,3,1,8,6,5,7] => 0110110 => [1,2,1,2,1] => 281
[1,3,4,2,8,6,5,7] => 0010110 => [2,1,1,2,1] => 241
[1,3,2,4,8,6,5,7] => 0100110 => [1,1,2,2,1] => 295
[3,2,1,4,8,6,5,7] => 1100110 => [2,2,2,1] => 211
[3,1,2,4,8,6,5,7] => 1000110 => [1,3,2,1] => 185
[3,1,4,2,8,6,5,7] => 1010110 => [1,1,1,1,2,1] => 345
[3,1,4,8,2,6,5,7] => 1001010 => [1,2,1,1,1,1] => 345
[7,3,4,8,5,1,6,2] => 1001101 => [1,2,2,1,1] => 295
[3,7,4,8,5,1,2,6] => 0101100 => [1,1,1,2,2] => 255
[6,7,2,8,3,5,4,1] => 0101011 => [1,1,1,1,1,2] => 297
[2,3,1,4,8,6,5,7] => 0100110 => [1,1,2,2,1] => 295
[2,1,3,4,8,6,5,7] => 1000110 => [1,3,2,1] => 185
[1,2,3,4,8,6,5,7] => 0000110 => [4,2,1] => 65
[4,8,3,6,2,1,5,7] => 0101100 => [1,1,1,2,2] => 255
[3,5,8,2,6,1,4,7] => 0010100 => [2,1,1,1,2] => 207
[3,6,5,8,2,4,1,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,3,8,7,2,4,6,1] => 1011001 => [1,1,2,2,1] => 295
[2,8,4,5,7,3,6,1] => 0100101 => [1,1,2,1,1,1] => 359
[2,4,5,7,3,8,1,6] => 0001010 => [3,1,1,1,1] => 165
[6,2,4,5,8,3,1,7] => 1000110 => [1,3,2,1] => 185
[4,8,1,2,5,6,3,7] => 0100010 => [1,1,3,1,1] => 233
[8,1,3,5,2,6,4,7] => 1001010 => [1,2,1,1,1,1] => 345
[5,2,1,6,3,8,4,7] => 1101010 => [2,1,1,1,1,1] => 297
[6,2,5,1,8,4,3,7] => 1010110 => [1,1,1,1,2,1] => 345
[3,6,1,5,8,4,2,7] => 0100110 => [1,1,2,2,1] => 295
[6,1,4,5,8,3,2,7] => 1000110 => [1,3,2,1] => 185
[5,6,4,8,1,3,2,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[6,5,4,3,8,2,1,7] => 1110110 => [3,1,2,1] => 137
[5,4,3,7,2,8,1,6] => 1101010 => [2,1,1,1,1,1] => 297
[5,8,4,3,7,2,6,1] => 0110101 => [1,2,1,1,1,1] => 345
[4,6,8,3,7,2,5,1] => 0010101 => [2,1,1,1,1,1] => 297
[7,4,6,3,2,8,1,5] => 1011010 => [1,1,2,1,1,1] => 359
[1,4,3,6,2,7,8,5] => 0101001 => [1,1,1,1,2,1] => 345
[1,5,4,3,7,2,8,6] => 0110101 => [1,2,1,1,1,1] => 345
[4,7,8,5,3,1,2,6] => 0011100 => [2,3,2] => 126
[5,7,3,4,1,2,8,6] => 0101001 => [1,1,1,1,2,1] => 345
[8,5,4,7,6,2,1,3] => 1101110 => [2,1,3,1] => 157
[8,5,7,4,3,6,1,2] => 1011010 => [1,1,2,1,1,1] => 359
[4,3,8,1,6,7,5,2] => 1010011 => [1,1,1,2,2] => 255
[4,7,8,3,6,1,5,2] => 0010101 => [2,1,1,1,1,1] => 297
[5,3,8,6,7,4,1,2] => 1010110 => [1,1,1,1,2,1] => 345
[1,3,8,6,4,7,5,2] => 0011011 => [2,2,1,2] => 180
[8,6,2,7,4,1,5,3] => 1101101 => [2,1,2,1,1] => 252
[7,6,2,1,4,3,8,5] => 1110101 => [3,1,1,1,1] => 165
[7,6,1,3,4,2,8,5] => 1100101 => [2,2,1,1,1] => 255
[1,5,7,3,2,6,8,4] => 0011001 => [2,2,2,1] => 211
[1,6,7,3,2,5,8,4] => 0011001 => [2,2,2,1] => 211
[3,2,6,8,5,7,4,1] => 1001011 => [1,2,1,1,2] => 241
[5,8,2,3,6,7,4,1] => 0100011 => [1,1,3,2] => 171
[7,5,2,3,1,6,8,4] => 1101001 => [2,1,1,2,1] => 241
[1,6,4,7,2,3,8,5] => 0101001 => [1,1,1,1,2,1] => 345
[3,1,7,5,2,8,4,6] => 1011010 => [1,1,2,1,1,1] => 359
[2,5,7,4,1,8,3,6] => 0011010 => [2,2,1,1,1] => 255
[4,2,6,1,7,8,3,5] => 1010010 => [1,1,1,2,1,1] => 359
[4,2,7,6,3,8,1,5] => 1011010 => [1,1,2,1,1,1] => 359
[6,4,8,7,2,3,5,1] => 1011001 => [1,1,2,2,1] => 295
[3,2,6,8,7,4,5,1] => 1001101 => [1,2,2,1,1] => 295
[3,2,7,4,1,6,8,5] => 1011001 => [1,1,2,2,1] => 295
[6,3,2,1,7,8,4,5] => 1110010 => [3,2,1,1] => 145
[3,7,1,8,4,2,5,6] => 0101100 => [1,1,1,2,2] => 255
[4,2,1,3,7,5,8,6] => 1100101 => [2,2,1,1,1] => 255
[8,1,3,7,4,2,6,5] => 1001101 => [1,2,2,1,1] => 295
[8,4,3,7,6,2,1,5] => 1101110 => [2,1,3,1] => 157
[8,3,5,2,7,6,1,4] => 1010110 => [1,1,1,1,2,1] => 345
[3,6,2,8,7,1,5,4] => 0101101 => [1,1,1,2,1,1] => 359
[7,3,2,8,1,6,5,4] => 1101011 => [2,1,1,1,2] => 207
[3,8,7,2,6,5,4,1] => 0110111 => [1,2,1,3] => 137
[4,2,7,8,6,1,5,3] => 1001101 => [1,2,2,1,1] => 295
[6,8,2,4,7,1,5,3] => 0100101 => [1,1,2,1,1,1] => 359
[5,2,1,8,7,3,6,4] => 1101101 => [2,1,2,1,1] => 252
[8,2,1,6,3,7,5,4] => 1101011 => [2,1,1,1,2] => 207
[6,8,3,1,7,5,2,4] => 0110110 => [1,2,1,2,1] => 281
[5,8,1,6,7,2,4,3] => 0100101 => [1,1,2,1,1,1] => 359
[6,2,8,1,5,7,4,3] => 1010011 => [1,1,1,2,2] => 255
[5,7,8,2,6,1,4,3] => 0010101 => [2,1,1,1,1,1] => 297
[8,7,2,5,6,4,3,1] => 1100111 => [2,2,3] => 105
[8,6,7,5,2,4,3,1] => 1011011 => [1,1,2,1,2] => 252
[7,2,6,8,1,5,4,3] => 1001011 => [1,2,1,1,2] => 241
[1,2,7,8,5,6,4,3] => 0001011 => [3,1,1,2] => 117
[7,4,8,1,6,2,5,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[3,7,1,8,2,6,5,4] => 0101011 => [1,1,1,1,1,2] => 297
[2,1,7,3,8,6,5,4] => 1010111 => [1,1,1,1,3] => 165
[8,2,1,7,6,5,4,3] => 1101111 => [2,1,4] => 55
[8,1,4,7,6,5,3,2] => 1001111 => [1,2,4] => 65
[8,6,7,5,1,4,3,2] => 1011011 => [1,1,2,1,2] => 252
[7,8,6,5,4,1,3,2] => 0111101 => [1,4,1,1] => 107
[5,8,4,3,2,1,6,7] => 0111100 => [1,4,2] => 81
[6,4,7,3,2,1,8,5] => 1011101 => [1,1,3,1,1] => 233
[5,4,7,3,2,1,6,8] => 1011100 => [1,1,3,2] => 171
[6,5,3,7,2,1,4,8] => 1101100 => [2,1,2,2] => 180
[5,8,3,6,2,1,4,7] => 0101100 => [1,1,1,2,2] => 255
[6,3,7,8,2,1,4,5] => 1001100 => [1,2,2,2] => 211
[5,3,7,6,2,1,4,8] => 1011100 => [1,1,3,2] => 171
[3,8,7,6,2,1,4,5] => 0111100 => [1,4,2] => 81
[5,8,4,2,6,1,3,7] => 0110100 => [1,2,1,1,2] => 241
[4,8,7,2,5,1,3,6] => 0110100 => [1,2,1,1,2] => 241
[5,8,3,2,6,1,4,7] => 0110100 => [1,2,1,1,2] => 241
[4,8,3,2,5,1,7,6] => 0110101 => [1,2,1,1,1,1] => 345
[4,3,7,2,5,1,8,6] => 1010101 => [1,1,1,1,1,1,1] => 429
[3,8,7,2,5,1,4,6] => 0110100 => [1,2,1,1,2] => 241
[6,4,2,7,5,1,3,8] => 1101100 => [2,1,2,2] => 180
[6,3,2,7,5,1,4,8] => 1101100 => [2,1,2,2] => 180
[5,3,2,6,7,1,4,8] => 1100100 => [2,2,1,2] => 180
[3,8,2,6,5,1,4,7] => 0101100 => [1,1,1,2,2] => 255
[6,2,7,8,5,1,3,4] => 1001100 => [1,2,2,2] => 211
[5,2,7,6,8,1,3,4] => 1010100 => [1,1,1,1,1,2] => 297
[4,2,7,6,5,1,3,8] => 1011100 => [1,1,3,2] => 171
[2,8,7,6,5,1,3,4] => 0111100 => [1,4,2] => 81
[6,5,4,3,1,7,8,2] => 1111001 => [4,2,1] => 65
[6,4,7,3,1,5,8,2] => 1011001 => [1,1,2,2,1] => 295
[5,4,7,3,1,8,6,2] => 1011011 => [1,1,2,1,2] => 252
[6,4,3,7,1,5,8,2] => 1101001 => [2,1,1,2,1] => 241
[5,4,3,6,1,8,7,2] => 1101011 => [2,1,1,1,2] => 207
[6,3,7,8,1,4,5,2] => 1001001 => [1,2,1,2,1] => 281
[5,3,7,6,1,4,8,2] => 1011001 => [1,1,2,2,1] => 295
[4,3,7,6,1,5,8,2] => 1011001 => [1,1,2,2,1] => 295
[3,8,7,6,1,4,5,2] => 0111001 => [1,3,2,1] => 185
[6,5,4,2,1,7,3,8] => 1111010 => [4,1,1,1] => 75
[6,4,7,2,1,5,3,8] => 1011010 => [1,1,2,1,1,1] => 359
[4,8,7,2,1,5,3,6] => 0111010 => [1,3,1,1,1] => 219
[5,8,3,2,1,4,7,6] => 0111001 => [1,3,2,1] => 185
[4,8,3,2,1,5,7,6] => 0111001 => [1,3,2,1] => 185
[5,3,7,2,1,4,8,6] => 1011001 => [1,1,2,2,1] => 295
[3,8,7,2,1,4,5,6] => 0111000 => [1,3,3] => 95
[6,5,2,7,1,4,3,8] => 1101010 => [2,1,1,1,1,1] => 297
[5,8,2,6,1,4,3,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[6,4,2,7,1,5,3,8] => 1101010 => [2,1,1,1,1,1] => 297
[5,4,2,6,1,8,3,7] => 1101010 => [2,1,1,1,1,1] => 297
[4,3,2,6,1,5,8,7] => 1101001 => [2,1,1,2,1] => 241
[6,2,7,8,1,4,3,5] => 1001010 => [1,2,1,1,1,1] => 345
[4,2,7,6,1,5,3,8] => 1011010 => [1,1,2,1,1,1] => 359
[3,2,7,6,1,4,5,8] => 1011000 => [1,1,2,3] => 145
[6,5,4,1,8,7,3,2] => 1110111 => [3,1,3] => 69
[5,8,4,1,6,7,3,2] => 0110011 => [1,2,2,2] => 211
[6,4,7,1,5,8,3,2] => 1010011 => [1,1,1,2,2] => 255
[5,4,7,1,6,8,3,2] => 1010011 => [1,1,1,2,2] => 255
[4,8,7,1,5,6,3,2] => 0110011 => [1,2,2,2] => 211
[5,4,3,1,6,8,7,2] => 1110011 => [3,2,2] => 105
[4,8,3,1,5,6,7,2] => 0110001 => [1,2,3,1] => 185
[3,8,7,1,5,4,6,2] => 0110101 => [1,2,1,1,1,1] => 345
[5,8,2,1,6,4,3,7] => 0110110 => [1,2,1,2,1] => 281
[6,3,2,1,5,4,8,7] => 1110101 => [3,1,1,1,1] => 165
[5,3,2,1,6,4,8,7] => 1110101 => [3,1,1,1,1] => 165
[3,8,2,1,5,4,6,7] => 0110100 => [1,2,1,1,2] => 241
[6,2,7,1,5,4,3,8] => 1010110 => [1,1,1,1,2,1] => 345
[5,2,7,1,6,4,3,8] => 1010110 => [1,1,1,1,2,1] => 345
[4,2,7,1,5,6,3,8] => 1010010 => [1,1,1,2,1,1] => 359
[3,2,7,1,5,4,6,8] => 1010100 => [1,1,1,1,1,2] => 297
[2,8,7,1,5,4,3,6] => 0110110 => [1,2,1,2,1] => 281
[6,5,1,7,8,4,3,2] => 1100111 => [2,2,3] => 105
[5,8,1,6,7,4,3,2] => 0100111 => [1,1,2,3] => 145
[6,4,1,7,5,8,3,2] => 1101011 => [2,1,1,1,2] => 207
[5,4,1,6,7,8,3,2] => 1100011 => [2,3,2] => 126
[4,8,1,6,5,7,3,2] => 0101011 => [1,1,1,1,1,2] => 297
[6,3,1,7,5,4,8,2] => 1101101 => [2,1,2,1,1] => 252
[5,3,1,6,7,4,8,2] => 1100101 => [2,2,1,1,1] => 255
[4,3,1,6,5,7,8,2] => 1101001 => [2,1,1,2,1] => 241
[3,8,1,6,5,4,7,2] => 0101101 => [1,1,1,2,1,1] => 359
[5,2,1,6,7,4,3,8] => 1100110 => [2,2,2,1] => 211
[4,2,1,6,5,7,3,8] => 1101010 => [2,1,1,1,1,1] => 297
[2,8,1,6,5,4,3,7] => 0101110 => [1,1,1,3,1] => 219
[6,1,7,8,5,4,3,2] => 1001111 => [1,2,4] => 65
[4,1,7,6,5,8,3,2] => 1011011 => [1,1,2,1,2] => 252
[3,1,7,6,5,4,8,2] => 1011101 => [1,1,3,1,1] => 233
[4,5,8,1,2,6,3,7] => 0010010 => [2,1,2,1,1] => 252
[1,4,5,7,2,6,3,8] => 0001010 => [3,1,1,1,1] => 165
[1,7,3,5,6,2,4,8] => 0100100 => [1,1,2,1,2] => 252
[8,1,3,5,7,2,4,6] => 1000100 => [1,3,1,2] => 157
[3,6,8,1,7,2,4,5] => 0010100 => [2,1,1,1,2] => 207
[3,4,5,6,8,1,7,2] => 0000101 => [4,1,1,1] => 75
[4,5,8,2,6,7,1,3] => 0010010 => [2,1,2,1,1] => 252
[8,2,3,5,6,7,1,4] => 1000010 => [1,4,1,1] => 107
[1,7,2,3,5,4,6,8] => 0100100 => [1,1,2,1,2] => 252
[8,1,2,3,5,4,6,7] => 1000100 => [1,3,1,2] => 157
[2,7,8,1,3,5,4,6] => 0010010 => [2,1,2,1,1] => 252
[2,7,8,3,5,6,1,4] => 0010010 => [2,1,2,1,1] => 252
[2,4,5,7,8,1,6,3] => 0000101 => [4,1,1,1] => 75
[4,5,8,1,7,6,3,2] => 0010111 => [2,1,1,3] => 117
[4,5,8,7,2,1,6,3] => 0011101 => [2,3,1,1] => 171
[8,7,3,5,6,2,1,4] => 1100110 => [2,2,2,1] => 211
[8,7,2,1,3,5,4,6] => 1110010 => [3,2,1,1] => 145
[3,6,8,7,2,1,5,4] => 0011101 => [2,3,1,1] => 171
[8,6,4,1,7,5,3,2] => 1110111 => [3,1,3] => 69
[7,6,4,3,1,8,5,2] => 1111011 => [4,1,2] => 55
[2,3,6,7,8,1,5,4] => 0000101 => [4,1,1,1] => 75
[3,6,8,1,2,5,4,7] => 0010010 => [2,1,2,1,1] => 252
[1,3,6,7,2,5,4,8] => 0001010 => [3,1,1,1,1] => 165
[7,4,1,8,5,2,3,6] => 1101100 => [2,1,2,2] => 180
[7,1,4,2,8,3,6,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,1,8,2,5,3,6,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,1,7,5,4,2,3,6] => 1011100 => [1,1,3,2] => 171
[1,7,2,6,5,4,3,8] => 0101110 => [1,1,1,3,1] => 219
[1,7,6,3,2,5,4,8] => 0111010 => [1,3,1,1,1] => 219
[8,6,3,1,2,5,4,7] => 1110010 => [3,2,1,1] => 145
[8,1,7,6,3,2,4,5] => 1011100 => [1,1,3,2] => 171
[8,2,5,7,6,3,1,4] => 1001110 => [1,2,3,1] => 185
[3,6,8,1,7,5,4,2] => 0010111 => [2,1,1,3] => 117
[8,2,6,7,5,4,1,3] => 1001110 => [1,2,3,1] => 185
[2,7,8,6,3,1,5,4] => 0011101 => [2,3,1,1] => 171
[2,7,8,1,6,5,4,3] => 0010111 => [2,1,1,3] => 117
[7,3,1,8,6,5,4,2] => 1101111 => [2,1,4] => 55
[8,7,2,1,6,5,4,3] => 1110111 => [3,1,3] => 69
[8,7,6,3,2,1,5,4] => 1111101 => [5,1,1] => 27
[2,1,8,6,3,7,4,5] => 1011010 => [1,1,2,1,1,1] => 359
[8,6,1,5,2,7,4,3] => 1101011 => [2,1,1,1,2] => 207
[8,5,1,7,4,2,6,3] => 1101101 => [2,1,2,1,1] => 252
[2,1,7,5,4,3,8,6] => 1011101 => [1,1,3,1,1] => 233
[2,1,7,8,3,6,5,4] => 1001011 => [1,2,1,1,2] => 241
[2,1,4,8,5,7,3,6] => 1001010 => [1,2,1,1,1,1] => 345
[8,5,3,1,6,2,4,7] => 1110100 => [3,1,1,2] => 117
[6,4,1,5,2,3,8,7] => 1101001 => [2,1,1,2,1] => 241
[8,3,7,5,2,6,1,4] => 1011010 => [1,1,2,1,1,1] => 359
[5,3,7,4,6,8,1,2] => 1010010 => [1,1,1,2,1,1] => 359
[5,8,3,7,6,2,1,4] => 0101110 => [1,1,1,3,1] => 219
[4,2,6,3,8,5,1,7] => 1010110 => [1,1,1,1,2,1] => 345
[5,8,2,1,7,6,4,3] => 0110111 => [1,2,1,3] => 137
[8,3,2,4,1,7,5,6] => 1101010 => [2,1,1,1,1,1] => 297
[7,8,3,1,5,4,6,2] => 0110101 => [1,2,1,1,1,1] => 345
[7,2,8,1,4,6,5,3] => 1010011 => [1,1,1,2,2] => 255
[6,2,3,1,4,5,8,7] => 1010001 => [1,1,1,3,1] => 219
[6,8,1,4,5,3,2,7] => 0100110 => [1,1,2,2,1] => 295
[8,2,6,1,4,7,3,5] => 1010010 => [1,1,1,2,1,1] => 359
[8,3,5,6,1,7,4,2] => 1001011 => [1,2,1,1,2] => 241
[6,3,5,4,1,2,8,7] => 1011001 => [1,1,2,2,1] => 295
[8,7,3,6,5,1,4,2] => 1101101 => [2,1,2,1,1] => 252
[2,7,4,3,6,1,8,5] => 0110101 => [1,2,1,1,1,1] => 345
[3,4,7,2,8,1,5,6] => 0010100 => [2,1,1,1,2] => 207
[4,2,3,5,8,1,6,7] => 1000100 => [1,3,1,2] => 157
[3,8,4,7,1,6,5,2] => 0101011 => [1,1,1,1,1,2] => 297
[3,2,4,6,1,5,8,7] => 1001001 => [1,2,1,2,1] => 281
[8,3,4,5,7,6,1,2] => 1000110 => [1,3,2,1] => 185
[3,2,4,5,6,8,1,7] => 1000010 => [1,4,1,1] => 107
[5,6,8,1,4,2,7,3] => 0010101 => [2,1,1,1,1,1] => 297
[1,5,7,8,4,6,2,3] => 0001010 => [3,1,1,1,1] => 165
[1,3,5,7,8,6,2,4] => 0000110 => [4,2,1] => 65
[3,5,7,8,6,1,2,4] => 0001100 => [3,2,2] => 105
[3,5,1,6,8,2,7,4] => 0100101 => [1,1,2,1,1,1] => 359
[3,1,5,6,8,2,7,4] => 1000101 => [1,3,1,1,1] => 219
[2,3,5,6,8,1,7,4] => 0000101 => [4,1,1,1] => 75
[5,6,4,8,2,1,7,3] => 0101101 => [1,1,1,2,1,1] => 359
[5,1,6,3,8,4,7,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[2,5,1,6,8,3,7,4] => 0100101 => [1,1,2,1,1,1] => 359
[5,1,2,6,8,3,7,4] => 1000101 => [1,3,1,1,1] => 219
[5,7,1,8,6,2,3,4] => 0101100 => [1,1,1,2,2] => 255
[1,5,2,7,8,6,3,4] => 0100110 => [1,1,2,2,1] => 295
[1,6,7,5,2,8,3,4] => 0011010 => [2,2,1,1,1] => 255
[6,1,7,5,2,8,3,4] => 1011010 => [1,1,2,1,1,1] => 359
[2,6,7,5,1,8,3,4] => 0011010 => [2,2,1,1,1] => 255
[5,7,2,8,6,1,3,4] => 0101100 => [1,1,1,2,2] => 255
[3,5,7,8,6,2,1,4] => 0001110 => [3,3,1] => 95
[5,1,7,8,6,3,4,2] => 1001101 => [1,2,2,1,1] => 295
[5,1,3,7,8,6,4,2] => 1000111 => [1,3,3] => 95
[5,2,7,8,4,6,1,3] => 1001010 => [1,2,1,1,1,1] => 345
[3,2,5,7,8,6,1,4] => 1000110 => [1,3,2,1] => 185
[6,2,7,5,1,8,3,4] => 1011010 => [1,1,2,1,1,1] => 359
[1,2,6,7,5,8,3,4] => 0001010 => [3,1,1,1,1] => 165
[6,2,7,5,4,1,8,3] => 1011101 => [1,1,3,1,1] => 233
[6,7,5,2,4,1,8,3] => 0110101 => [1,2,1,1,1,1] => 345
[6,7,2,5,3,8,1,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[6,7,4,5,2,1,8,3] => 0101101 => [1,1,1,2,1,1] => 359
[5,1,7,8,6,4,3,2] => 1001111 => [1,2,4] => 65
[2,5,7,8,6,3,1,4] => 0001110 => [3,3,1] => 95
[5,1,7,8,6,3,2,4] => 1001110 => [1,2,3,1] => 185
[6,3,7,5,1,8,2,4] => 1011010 => [1,1,2,1,1,1] => 359
[1,6,7,5,3,8,2,4] => 0011010 => [2,2,1,1,1] => 255
[1,6,7,5,4,2,8,3] => 0011101 => [2,3,1,1] => 171
[6,7,5,1,4,2,8,3] => 0110101 => [1,2,1,1,1,1] => 345
[5,7,8,6,4,1,2,3] => 0011100 => [2,3,2] => 126
[4,1,7,2,6,5,8,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[2,4,7,1,5,6,8,3] => 0010001 => [2,1,3,1] => 157
[6,7,4,1,5,2,8,3] => 0110101 => [1,2,1,1,1,1] => 345
[1,6,7,4,5,2,8,3] => 0010101 => [2,1,1,1,1,1] => 297
[1,6,3,7,5,8,2,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[6,3,1,7,5,8,2,4] => 1101010 => [2,1,1,1,1,1] => 297
[2,5,3,7,8,6,1,4] => 0100110 => [1,1,2,2,1] => 295
[6,7,5,4,2,1,8,3] => 0111101 => [1,4,1,1] => 107
[6,3,2,7,5,8,1,4] => 1101010 => [2,1,1,1,1,1] => 297
[6,7,4,2,5,1,8,3] => 0110101 => [1,2,1,1,1,1] => 345
[6,2,7,4,5,1,8,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,2,3,7,5,8,1,4] => 1001010 => [1,2,1,1,1,1] => 345
[4,5,1,6,3,2,8,7] => 0101101 => [1,1,1,2,1,1] => 359
[7,5,1,6,3,8,2,4] => 1101010 => [2,1,1,1,1,1] => 297
[7,5,1,6,3,8,4,2] => 1101011 => [2,1,1,1,2] => 207
[2,7,6,1,3,8,4,5] => 0110010 => [1,2,2,1,1] => 295
[2,7,6,1,3,8,5,4] => 0110011 => [1,2,2,2] => 211
[7,3,5,1,8,2,6,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,3,5,1,8,2,4,6] => 1010100 => [1,1,1,1,1,2] => 297
[3,7,5,1,8,6,2,4] => 0110110 => [1,2,1,2,1] => 281
[2,6,7,1,5,8,3,4] => 0010010 => [2,1,2,1,1] => 252
[2,6,7,4,1,8,3,5] => 0011010 => [2,2,1,1,1] => 255
[2,1,6,7,3,8,5,4] => 1001011 => [1,2,1,1,2] => 241
[2,6,7,4,1,8,5,3] => 0011011 => [2,2,1,2] => 180
[2,6,7,1,5,8,4,3] => 0010011 => [2,1,2,2] => 180
[3,6,5,1,8,4,7,2] => 0110101 => [1,2,1,1,1,1] => 345
[3,6,5,1,8,4,2,7] => 0110110 => [1,2,1,2,1] => 281
[3,7,5,4,8,1,6,2] => 0110101 => [1,2,1,1,1,1] => 345
[3,7,5,4,8,1,2,6] => 0110100 => [1,2,1,1,2] => 241
[4,6,1,5,8,7,3,2] => 0100111 => [1,1,2,3] => 145
[4,6,1,5,8,7,2,3] => 0100110 => [1,1,2,2,1] => 295
[4,6,1,5,8,2,7,3] => 0100101 => [1,1,2,1,1,1] => 359
[7,5,1,6,2,8,3,4] => 1101010 => [2,1,1,1,1,1] => 297
[7,5,1,6,2,8,4,3] => 1101011 => [2,1,1,1,2] => 207
[4,6,1,5,8,2,3,7] => 0100100 => [1,1,2,1,2] => 252
[4,7,1,5,8,3,6,2] => 0100101 => [1,1,2,1,1,1] => 359
[2,3,4,7,8,1,6,5] => 0000101 => [4,1,1,1] => 75
[6,8,5,4,3,2,7,1] => 0111101 => [1,4,1,1] => 107
[7,9,6,5,4,3,2,8,1] => 01111101 => [1,5,1,1] => 170
[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] => 157
[5,8,4,3,2,1,7,6] => 0111101 => [1,4,1,1] => 107
[6,5,4,3,1,8,7,2] => 1111011 => [4,1,2] => 55
[8,7,6,5,4,3,9,1,2] => 11111010 => [5,1,1,1] => 110
[8,7,5,4,3,1,6,2] => 1111101 => [5,1,1] => 27
[9,7,6,5,4,3,1,8,2] => 11111101 => [6,1,1] => 35
[8,3,4,6,2,1,5,7] => 1001100 => [1,2,2,2] => 211
[3,5,6,2,1,8,4,7] => 0011010 => [2,2,1,1,1] => 255
[3,5,2,6,8,4,1,7] => 0100110 => [1,1,2,2,1] => 295
[7,5,3,2,8,4,1,6] => 1110110 => [3,1,2,1] => 137
[7,5,3,2,8,4,6,1] => 1110101 => [3,1,1,1,1] => 165
[2,4,5,7,3,8,6,1] => 0001011 => [3,1,1,2] => 117
[4,2,5,6,8,3,1,7] => 1000110 => [1,3,2,1] => 185
[4,2,8,1,5,6,3,7] => 1010010 => [1,1,1,2,1,1] => 359
[2,5,6,1,8,4,3,7] => 0010110 => [2,1,1,2,1] => 241
[5,3,6,8,1,4,2,7] => 1001010 => [1,2,1,1,1,1] => 345
[4,5,6,8,1,3,2,7] => 0001010 => [3,1,1,1,1] => 165
[1,4,5,6,8,3,2,7] => 0000110 => [4,2,1] => 65
[4,5,6,3,8,2,1,7] => 0010110 => [2,1,1,2,1] => 241
[4,5,3,7,2,8,6,1] => 0101011 => [1,1,1,1,1,2] => 297
[6,4,7,3,2,8,5,1] => 1011011 => [1,1,2,1,2] => 252
[6,1,4,7,3,2,8,5] => 1001101 => [1,2,2,1,1] => 295
[1,7,8,4,5,3,2,6] => 0010110 => [2,1,1,2,1] => 241
[5,1,7,3,8,4,2,6] => 1010110 => [1,1,1,1,2,1] => 345
[2,5,1,7,4,3,8,6] => 0101101 => [1,1,1,2,1,1] => 359
[2,5,7,4,1,8,6,3] => 0011011 => [2,2,1,2] => 180
[5,3,7,1,4,8,6,2] => 1010011 => [1,1,1,2,2] => 255
[6,4,3,1,7,8,5,2] => 1110011 => [3,2,2] => 105
[6,4,1,7,3,8,5,2] => 1101011 => [2,1,1,1,2] => 207
[5,6,3,7,8,4,2,1] => 0100111 => [1,1,2,3] => 145
[5,1,6,3,7,8,4,2] => 1010011 => [1,1,1,2,2] => 255
[5,6,1,3,7,8,4,2] => 0100011 => [1,1,3,2] => 171
[5,6,1,7,8,3,4,2] => 0100101 => [1,1,2,1,1,1] => 359
[1,6,3,7,4,8,5,2] => 0101011 => [1,1,1,1,1,2] => 297
[6,7,2,4,1,8,5,3] => 0101011 => [1,1,1,1,1,2] => 297
[6,7,2,1,4,3,8,5] => 0110101 => [1,2,1,1,1,1] => 345
[6,4,7,3,1,2,8,5] => 1011001 => [1,1,2,2,1] => 295
[5,6,3,1,2,7,8,4] => 0110001 => [1,2,3,1] => 185
[5,6,1,3,2,7,8,4] => 0101001 => [1,1,1,1,2,1] => 345
[5,6,3,2,1,7,8,4] => 0111001 => [1,3,2,1] => 185
[2,5,6,3,7,8,4,1] => 0010011 => [2,1,2,2] => 180
[2,5,6,3,1,7,8,4] => 0011001 => [2,2,2,1] => 211
[2,6,4,7,3,1,8,5] => 0101101 => [1,1,1,2,1,1] => 359
[6,3,7,2,8,4,5,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,3,7,2,8,4,1,5] => 1010110 => [1,1,1,1,2,1] => 345
[6,3,2,7,1,8,4,5] => 1101010 => [2,1,1,1,1,1] => 297
[7,5,3,2,1,8,4,6] => 1111010 => [4,1,1,1] => 75
[7,3,8,4,2,1,5,6] => 1011100 => [1,1,3,2] => 171
[4,7,2,1,3,8,6,5] => 0110011 => [1,2,2,2] => 211
[1,3,7,8,6,4,2,5] => 0001110 => [3,3,1] => 95
[7,3,8,4,6,2,1,5] => 1010110 => [1,1,1,1,2,1] => 345
[5,7,3,8,2,1,6,4] => 0101101 => [1,1,1,2,1,1] => 359
[6,3,7,8,5,2,1,4] => 1001110 => [1,2,3,1] => 185
[4,6,2,7,8,5,3,1] => 0100111 => [1,1,2,3] => 145
[4,6,2,1,7,8,5,3] => 0110011 => [1,2,2,2] => 211
[7,4,5,8,1,2,6,3] => 1001001 => [1,2,1,2,1] => 281
[2,5,1,7,3,8,6,4] => 0101011 => [1,1,1,1,1,2] => 297
[6,7,2,1,3,8,5,4] => 0110011 => [1,2,2,2] => 211
[5,1,6,7,8,2,4,3] => 1000101 => [1,3,1,1,1] => 219
[6,3,7,1,8,5,2,4] => 1010110 => [1,1,1,1,2,1] => 345
[6,2,1,7,3,8,5,4] => 1101011 => [2,1,1,1,2] => 207
[6,2,7,1,8,5,4,3] => 1010111 => [1,1,1,1,3] => 165
[6,3,1,7,8,5,4,2] => 1100111 => [2,2,3] => 105
[4,1,3,6,8,2,5,7] => 1000100 => [1,3,1,2] => 157
[4,2,3,6,8,1,5,7] => 1000100 => [1,3,1,2] => 157
[5,3,2,1,8,4,7,6] => 1110101 => [3,1,1,1,1] => 165
[3,6,5,8,2,1,7,4] => 0101101 => [1,1,1,2,1,1] => 359
[4,5,2,1,3,8,7,6] => 0110011 => [1,2,2,2] => 211
[3,2,6,4,5,8,1,7] => 1010010 => [1,1,1,2,1,1] => 359
[2,4,6,5,8,1,3,7] => 0010100 => [2,1,1,1,2] => 207
[1,6,2,4,5,8,3,7] => 0100010 => [1,1,3,1,1] => 233
[5,3,2,1,6,8,4,7] => 1110010 => [3,2,1,1] => 145
[6,2,4,5,8,1,3,7] => 1000100 => [1,3,1,2] => 157
[1,3,4,6,5,8,2,7] => 0001010 => [3,1,1,1,1] => 165
[1,6,3,4,5,8,2,7] => 0100010 => [1,1,3,1,1] => 233
[3,4,1,8,5,2,7,6] => 0101101 => [1,1,1,2,1,1] => 359
[2,8,4,1,7,6,3,5] => 0110110 => [1,2,1,2,1] => 281
[8,1,4,2,7,3,6,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[1,5,3,2,8,7,4,6] => 0110110 => [1,2,1,2,1] => 281
[8,2,1,7,5,3,4,6] => 1101100 => [2,1,2,2] => 180
[1,7,6,4,5,8,3,2] => 0110011 => [1,2,2,2] => 211
[5,8,7,4,1,2,6,3] => 0111001 => [1,3,2,1] => 185
[5,8,7,4,6,2,1,3] => 0110110 => [1,2,1,2,1] => 281
[3,4,2,5,8,6,7,1] => 0100101 => [1,1,2,1,1,1] => 359
[4,1,3,5,6,8,7,2] => 1000011 => [1,4,2] => 81
[2,4,8,6,7,1,3,5] => 0010100 => [2,1,1,1,2] => 207
[4,3,6,2,8,1,7,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[3,7,4,8,2,1,6,5] => 0101101 => [1,1,1,2,1,1] => 359
[2,3,5,8,6,7,1,4] => 0001010 => [3,1,1,1,1] => 165
[3,2,5,6,8,7,1,4] => 1000110 => [1,3,2,1] => 185
[2,1,8,5,6,7,3,4] => 1010010 => [1,1,1,2,1,1] => 359
[1,2,8,3,5,6,7,4] => 0010001 => [2,1,3,1] => 157
[4,2,3,7,1,8,6,5] => 1001011 => [1,2,1,1,2] => 241
[3,2,6,4,8,1,7,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,2,1,6,7,3,4,5] => 1100100 => [2,2,1,2] => 180
[2,7,8,5,4,1,3,6] => 0011100 => [2,3,2] => 126
[1,7,5,3,8,4,2,6] => 0110110 => [1,2,1,2,1] => 281
[4,7,5,3,1,2,8,6] => 0111001 => [1,3,2,1] => 185
[7,2,4,8,5,3,1,6] => 1001110 => [1,2,3,1] => 185
[4,8,3,1,2,7,6,5] => 0110011 => [1,2,2,2] => 211
[3,5,2,7,4,1,8,6] => 0101101 => [1,1,1,2,1,1] => 359
[8,4,2,3,7,1,5,6] => 1100100 => [2,2,1,2] => 180
[2,8,4,7,1,3,5,6] => 0101000 => [1,1,1,1,3] => 165
[8,2,4,6,7,1,3,5] => 1000100 => [1,3,1,2] => 157
[4,8,2,3,6,7,1,5] => 0100010 => [1,1,3,1,1] => 233
[3,5,2,7,6,1,8,4] => 0101101 => [1,1,1,2,1,1] => 359
[1,6,3,2,5,8,7,4] => 0110011 => [1,2,2,2] => 211
[5,8,3,2,1,6,7,4] => 0111001 => [1,3,2,1] => 185
[5,8,7,3,4,6,2,1] => 0110011 => [1,2,2,2] => 211
[5,8,2,7,4,1,6,3] => 0101101 => [1,1,1,2,1,1] => 359
[5,1,4,2,8,7,6,3] => 1010111 => [1,1,1,1,3] => 165
[4,7,6,5,8,2,1,3] => 0110110 => [1,2,1,2,1] => 281
[5,3,7,1,6,2,8,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,2,6,8,7,1,3,4] => 1001100 => [1,2,2,2] => 211
[6,3,2,1,8,5,7,4] => 1110101 => [3,1,1,1,1] => 165
[2,7,5,4,1,8,6,3] => 0111011 => [1,3,1,2] => 157
[4,2,5,6,8,7,1,3] => 1000110 => [1,3,2,1] => 185
[1,8,4,2,5,6,7,3] => 0110001 => [1,2,3,1] => 185
[3,8,4,1,5,6,7,2] => 0110001 => [1,2,3,1] => 185
[4,2,8,5,6,7,1,3] => 1010010 => [1,1,1,2,1,1] => 359
[5,2,4,7,1,8,6,3] => 1001011 => [1,2,1,1,2] => 241
[5,3,4,7,1,8,6,2] => 1001011 => [1,2,1,1,2] => 241
[8,6,4,1,3,2,5,7] => 1110100 => [3,1,1,2] => 117
[8,1,3,6,5,2,4,7] => 1001100 => [1,2,2,2] => 211
[8,1,4,3,6,5,2,7] => 1010110 => [1,1,1,1,2,1] => 345
[3,6,5,2,1,8,7,4] => 0111011 => [1,3,1,2] => 157
[8,3,2,4,6,5,1,7] => 1100110 => [2,2,2,1] => 211
[8,4,2,1,6,5,3,7] => 1110110 => [3,1,2,1] => 137
[8,4,1,2,6,5,3,7] => 1100110 => [2,2,2,1] => 211
[8,6,4,2,1,5,3,7] => 1111010 => [4,1,1,1] => 75
[8,3,6,4,1,5,2,7] => 1011010 => [1,1,2,1,1,1] => 359
[8,2,6,3,4,5,1,7] => 1010010 => [1,1,1,2,1,1] => 359
[1,3,4,8,5,7,2,6] => 0001010 => [3,1,1,1,1] => 165
[5,8,4,7,6,2,3,1] => 0101101 => [1,1,1,2,1,1] => 359
[1,3,4,7,5,8,2,6] => 0001010 => [3,1,1,1,1] => 165
[1,3,5,2,4,8,7,6] => 0010011 => [2,1,2,2] => 180
[2,6,5,1,3,8,7,4] => 0110011 => [1,2,2,2] => 211
[4,7,1,6,5,8,3,2] => 0101011 => [1,1,1,1,1,2] => 297
[5,4,8,7,6,3,1,2] => 1011110 => [1,1,4,1] => 107
[2,8,5,1,4,7,6,3] => 0110011 => [1,2,2,2] => 211
[4,3,1,5,8,6,7,2] => 1100101 => [2,2,1,1,1] => 255
[4,1,3,5,8,6,7,2] => 1000101 => [1,3,1,1,1] => 219
[6,5,3,8,4,7,1,2] => 1101010 => [2,1,1,1,1,1] => 297
[5,4,2,1,6,8,7,3] => 1110011 => [3,2,2] => 105
[6,8,4,3,2,7,1,5] => 0111010 => [1,3,1,1,1] => 219
[3,4,7,8,2,1,6,5] => 0001101 => [3,2,1,1] => 145
[5,1,3,2,8,6,7,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,3,1,2,8,6,7,4] => 1100101 => [2,2,1,1,1] => 255
[5,2,3,1,6,8,7,4] => 1010011 => [1,1,1,2,2] => 255
[5,3,2,1,8,6,7,4] => 1110101 => [3,1,1,1,1] => 165
[5,2,1,3,6,8,7,4] => 1100011 => [2,3,2] => 126
[2,4,7,3,8,1,6,5] => 0010101 => [2,1,1,1,1,1] => 297
[6,3,8,2,7,4,1,5] => 1010110 => [1,1,1,1,2,1] => 345
[8,2,1,3,6,4,7,5] => 1100101 => [2,2,1,1,1] => 255
[3,5,1,7,8,4,2,6] => 0100110 => [1,1,2,2,1] => 295
[2,7,4,5,8,3,1,6] => 0100110 => [1,1,2,2,1] => 295
[1,8,4,3,7,2,6,5] => 0110101 => [1,2,1,1,1,1] => 345
[3,4,8,7,2,1,6,5] => 0011101 => [2,3,1,1] => 171
[5,4,7,8,3,6,2,1] => 1001011 => [1,2,1,1,2] => 241
[6,4,3,8,7,2,1,5] => 1101110 => [2,1,3,1] => 157
[6,3,8,7,4,1,2,5] => 1011100 => [1,1,3,2] => 171
[3,5,7,2,4,8,1,6] => 0010010 => [2,1,2,1,1] => 252
[8,4,7,2,3,1,5,6] => 1010100 => [1,1,1,1,1,2] => 297
[8,4,7,1,3,2,5,6] => 1010100 => [1,1,1,1,1,2] => 297
[8,4,7,2,1,3,5,6] => 1011000 => [1,1,2,3] => 145
[8,6,4,2,1,3,7,5] => 1111001 => [4,2,1] => 65
[8,6,4,1,3,2,7,5] => 1110101 => [3,1,1,1,1] => 165
[8,6,4,2,3,1,7,5] => 1110101 => [3,1,1,1,1] => 165
[3,5,7,2,6,1,8,4] => 0010101 => [2,1,1,1,1,1] => 297
[6,1,3,8,5,7,2,4] => 1001010 => [1,2,1,1,1,1] => 345
[5,8,3,2,6,7,1,4] => 0110010 => [1,2,2,1,1] => 295
[4,8,5,3,6,2,7,1] => 0110101 => [1,2,1,1,1,1] => 345
[2,8,1,5,4,7,6,3] => 0101011 => [1,1,1,1,1,2] => 297
[1,5,8,7,4,6,2,3] => 0011010 => [2,2,1,1,1] => 255
[2,1,7,6,4,5,8,3] => 1011001 => [1,1,2,2,1] => 295
[1,7,2,4,6,5,8,3] => 0100101 => [1,1,2,1,1,1] => 359
[3,5,1,7,6,8,2,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,8,2,6,1,3,7,4] => 0101001 => [1,1,1,1,2,1] => 345
[6,3,5,8,7,2,1,4] => 1001110 => [1,2,3,1] => 185
[2,5,7,8,4,1,6,3] => 0001101 => [3,2,1,1] => 145
[4,2,8,1,5,6,7,3] => 1010001 => [1,1,1,3,1] => 219
[4,1,5,2,6,8,7,3] => 1010011 => [1,1,1,2,2] => 255
[3,4,5,1,6,8,7,2] => 0010011 => [2,1,2,2] => 180
[4,2,8,5,1,6,7,3] => 1011001 => [1,1,2,2,1] => 295
[4,1,8,5,2,6,7,3] => 1011001 => [1,1,2,2,1] => 295
[2,7,1,8,5,4,6,3] => 0101101 => [1,1,1,2,1,1] => 359
[5,8,6,2,1,3,7,4] => 0111001 => [1,3,2,1] => 185
[8,2,4,1,5,6,7,3] => 1010001 => [1,1,1,3,1] => 219
[4,6,3,5,8,1,7,2] => 0100101 => [1,1,2,1,1,1] => 359
[1,7,8,3,5,4,6,2] => 0010101 => [2,1,1,1,1,1] => 297
[3,4,5,1,8,6,7,2] => 0010101 => [2,1,1,1,1,1] => 297
[3,8,1,4,5,6,7,2] => 0100001 => [1,1,4,1] => 107
[3,4,5,6,8,2,1,7] => 0000110 => [4,2,1] => 65
[3,4,5,7,1,8,6,2] => 0001011 => [3,1,1,2] => 117
[3,4,5,7,8,2,6,1] => 0000101 => [4,1,1,1] => 75
[3,4,6,2,8,5,1,7] => 0010110 => [2,1,1,2,1] => 241
[3,4,6,8,1,5,2,7] => 0001010 => [3,1,1,1,1] => 165
[3,4,7,2,1,8,6,5] => 0011011 => [2,2,1,2] => 180
[3,4,7,8,1,5,6,2] => 0001001 => [3,1,2,1] => 137
[3,4,8,2,1,5,6,7] => 0011000 => [2,2,3] => 105
[3,5,2,6,7,8,1,4] => 0100010 => [1,1,3,1,1] => 233
[3,5,2,7,8,4,6,1] => 0100101 => [1,1,2,1,1,1] => 359
[3,5,2,8,4,1,6,7] => 0101100 => [1,1,1,2,2] => 255
[3,5,6,2,8,4,1,7] => 0010110 => [2,1,1,2,1] => 241
[3,5,6,8,4,1,2,7] => 0001100 => [3,2,2] => 105
[3,5,7,2,4,8,6,1] => 0010011 => [2,1,2,2] => 180
[3,5,7,2,8,4,6,1] => 0010101 => [2,1,1,1,1,1] => 297
[3,5,7,8,4,1,6,2] => 0001101 => [3,2,1,1] => 145
[3,6,2,1,7,8,5,4] => 0110011 => [1,2,2,2] => 211
[3,6,2,1,8,5,4,7] => 0110110 => [1,2,1,2,1] => 281
[3,6,7,2,4,8,5,1] => 0010011 => [2,1,2,2] => 180
[3,6,7,2,8,5,4,1] => 0010111 => [2,1,1,3] => 117
[3,6,7,8,4,5,1,2] => 0001010 => [3,1,1,1,1] => 165
[3,6,8,2,4,5,1,7] => 0010010 => [2,1,2,1,1] => 252
[3,7,2,1,4,8,6,5] => 0110011 => [1,2,2,2] => 211
[3,7,2,1,8,5,6,4] => 0110101 => [1,2,1,1,1,1] => 345
[3,7,2,8,4,5,6,1] => 0101001 => [1,1,1,1,2,1] => 345
[3,7,8,2,4,5,6,1] => 0010001 => [2,1,3,1] => 157
[3,8,2,1,4,5,6,7] => 0110000 => [1,2,4] => 65
[4,1,5,6,7,8,3,2] => 1000011 => [1,4,2] => 81
[4,1,5,7,3,8,6,2] => 1001011 => [1,2,1,1,2] => 241
[4,1,6,3,7,8,5,2] => 1010011 => [1,1,1,2,2] => 255
[4,1,6,3,8,5,2,7] => 1010110 => [1,1,1,1,2,1] => 345
[4,1,6,7,3,8,5,2] => 1001011 => [1,2,1,1,2] => 241
[4,1,6,7,8,5,2,3] => 1000110 => [1,3,2,1] => 185
[4,1,6,8,3,5,2,7] => 1001010 => [1,2,1,1,1,1] => 345
[4,1,7,3,2,8,6,5] => 1011011 => [1,1,2,1,2] => 252
[4,1,7,8,3,5,6,2] => 1001001 => [1,2,1,2,1] => 281
[4,1,8,3,2,5,6,7] => 1011000 => [1,1,2,3] => 145
[4,5,2,6,7,8,3,1] => 0100011 => [1,1,3,2] => 171
[4,5,2,6,8,1,3,7] => 0100100 => [1,1,2,1,2] => 252
[4,5,6,3,8,1,2,7] => 0010100 => [2,1,1,1,2] => 207
[4,5,6,8,3,1,2,7] => 0001100 => [3,2,2] => 105
[4,5,7,3,8,1,6,2] => 0010101 => [2,1,1,1,1,1] => 297
[4,5,8,3,2,1,6,7] => 0011100 => [2,3,2] => 126
[4,6,2,3,7,8,5,1] => 0100011 => [1,1,3,2] => 171
[4,6,2,3,8,5,1,7] => 0100110 => [1,1,2,2,1] => 295
[4,6,2,7,3,8,5,1] => 0101011 => [1,1,1,1,1,2] => 297
[4,6,2,7,8,5,1,3] => 0100110 => [1,1,2,2,1] => 295
[4,6,7,3,2,8,5,1] => 0011011 => [2,2,1,2] => 180
[4,6,8,3,2,5,1,7] => 0011010 => [2,2,1,1,1] => 255
[4,7,2,3,1,8,6,5] => 0101011 => [1,1,1,1,1,2] => 297
[4,7,2,8,3,5,6,1] => 0101001 => [1,1,1,1,2,1] => 345
[4,7,8,3,2,5,6,1] => 0011001 => [2,2,2,1] => 211
[4,8,2,3,1,5,6,7] => 0101000 => [1,1,1,1,3] => 165
[5,1,2,6,8,4,3,7] => 1000110 => [1,3,2,1] => 185
[5,1,2,7,4,8,6,3] => 1001011 => [1,2,1,1,2] => 241
[5,1,2,7,8,4,6,3] => 1000101 => [1,3,1,1,1] => 219
[5,1,2,8,4,3,6,7] => 1001100 => [1,2,2,2] => 211
[5,1,6,3,8,4,2,7] => 1010110 => [1,1,1,1,2,1] => 345
[5,1,6,7,4,8,2,3] => 1001010 => [1,2,1,1,1,1] => 345
[5,1,6,7,8,4,2,3] => 1000110 => [1,3,2,1] => 185
[5,1,8,3,4,2,6,7] => 1010100 => [1,1,1,1,1,2] => 297
[5,6,2,3,8,4,1,7] => 0100110 => [1,1,2,2,1] => 295
[5,6,2,7,8,4,1,3] => 0100110 => [1,1,2,2,1] => 295
[5,6,8,3,4,2,1,7] => 0010110 => [2,1,1,2,1] => 241
[5,7,2,3,4,8,6,1] => 0100011 => [1,1,3,2] => 171
[5,7,2,3,8,4,6,1] => 0100101 => [1,1,2,1,1,1] => 359
[5,7,8,3,4,2,6,1] => 0010101 => [2,1,1,1,1,1] => 297
[5,8,2,3,4,1,6,7] => 0100100 => [1,1,2,1,2] => 252
[6,1,2,3,7,8,5,4] => 1000011 => [1,4,2] => 81
[6,1,2,3,8,5,4,7] => 1000110 => [1,3,2,1] => 185
[6,1,2,7,8,5,4,3] => 1000111 => [1,3,3] => 95
[6,1,2,8,4,5,3,7] => 1001010 => [1,2,1,1,1,1] => 345
[6,1,7,3,4,8,5,2] => 1010011 => [1,1,1,2,2] => 255
[6,1,7,3,8,5,4,2] => 1010111 => [1,1,1,1,3] => 165
[6,1,7,8,4,5,3,2] => 1001011 => [1,2,1,1,2] => 241
[6,1,8,3,4,5,2,7] => 1010010 => [1,1,1,2,1,1] => 359
[6,7,2,3,8,5,4,1] => 0100111 => [1,1,2,3] => 145
[6,7,2,8,4,5,3,1] => 0101011 => [1,1,1,1,1,2] => 297
[6,8,2,3,4,5,1,7] => 0100010 => [1,1,3,1,1] => 233
[7,1,2,3,4,8,6,5] => 1000011 => [1,4,2] => 81
[7,1,2,8,4,5,6,3] => 1001001 => [1,2,1,2,1] => 281
[7,1,8,3,4,5,6,2] => 1010001 => [1,1,1,3,1] => 219
[6,4,1,8,2,3,7,5] => 1101001 => [2,1,1,2,1] => 241
[5,8,1,2,4,3,7,6] => 0100101 => [1,1,2,1,1,1] => 359
[1,3,5,7,2,6,4,8] => 0001010 => [3,1,1,1,1] => 165
[3,5,8,6,1,2,4,7] => 0011000 => [2,2,3] => 105
[3,1,6,8,2,4,7,5] => 1001001 => [1,2,1,2,1] => 281
[3,6,2,8,1,5,7,4] => 0101001 => [1,1,1,1,2,1] => 345
[2,6,1,3,8,4,7,5] => 0100101 => [1,1,2,1,1,1] => 359
[1,7,5,2,3,4,6,8] => 0110000 => [1,2,4] => 65
[2,7,5,1,3,8,4,6] => 0110010 => [1,2,2,1,1] => 295
[8,2,5,7,4,6,1,3] => 1001010 => [1,2,1,1,1,1] => 345
[8,2,1,3,7,6,4,5] => 1100110 => [2,2,2,1] => 211
[8,2,5,1,3,7,4,6] => 1010010 => [1,1,1,2,1,1] => 359
[8,2,7,5,3,1,6,4] => 1011101 => [1,1,3,1,1] => 233
[8,2,6,5,4,7,1,3] => 1011010 => [1,1,2,1,1,1] => 359
[7,6,5,2,4,8,1,3] => 1110010 => [3,2,1,1] => 145
[7,8,2,5,3,1,6,4] => 0101101 => [1,1,1,2,1,1] => 359
[7,1,8,6,3,2,4,5] => 1011100 => [1,1,3,2] => 171
[6,8,1,5,3,2,4,7] => 0101100 => [1,1,1,2,2] => 255
[1,6,7,5,3,2,4,8] => 0011100 => [2,3,2] => 126
[6,5,1,2,4,8,3,7] => 1100010 => [2,3,1,1] => 171
[7,8,1,6,4,2,3,5] => 0101100 => [1,1,1,2,2] => 255
[8,4,1,2,5,6,3,7] => 1100010 => [2,3,1,1] => 171
[1,7,3,6,5,2,4,8] => 0101100 => [1,1,1,2,2] => 255
[8,1,3,7,2,6,4,5] => 1001010 => [1,2,1,1,1,1] => 345
[7,3,2,6,5,1,8,4] => 1101101 => [2,1,2,1,1] => 252
[7,8,4,2,5,6,1,3] => 0110010 => [1,2,2,1,1] => 295
[8,2,7,4,5,6,1,3] => 1010010 => [1,1,1,2,1,1] => 359
[8,2,3,6,5,1,7,4] => 1001101 => [1,2,2,1,1] => 295
[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
[8,10,9,7,6,5,4,3,2,1] => 011111111 => [1,8] => 9
[6,9,7,8,5,4,3,2,1] => 01011111 => [1,1,1,5] => 110
[7,10,9,8,6,5,4,3,2,1] => 011111111 => [1,8] => 9
[4,8,6,5,7,3,2,1] => 0110111 => [1,2,1,3] => 137
[5,9,8,6,7,4,3,2,1] => 01101111 => [1,2,1,4] => 235
[6,10,9,8,7,5,4,3,2,1] => 011111111 => [1,8] => 9
[3,8,7,5,4,6,2,1] => 0111011 => [1,3,1,2] => 157
[4,8,5,6,7,3,2,1] => 0100111 => [1,1,2,3] => 145
[4,9,8,7,5,6,3,2,1] => 01110111 => [1,3,1,3] => 332
[5,10,9,8,7,6,4,3,2,1] => 011111111 => [1,8] => 9
[2,8,7,6,4,3,5,1] => 0111101 => [1,4,1,1] => 107
[3,8,7,4,5,6,2,1] => 0110011 => [1,2,2,2] => 211
[3,9,8,7,6,4,5,2,1] => 01111011 => [1,4,1,2] => 303
[4,10,9,8,7,6,5,3,2,1] => 011111111 => [1,8] => 9
[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] => 185
[2,9,8,7,6,5,3,4,1] => 01111101 => [1,5,1,1] => 170
[3,10,9,8,7,6,5,4,2,1] => 011111111 => [1,8] => 9
[1,8,7,6,5,2,3,4] => 0111100 => [1,4,2] => 81
[1,9,8,7,6,5,4,2,3] => 01111110 => [1,6,1] => 50
[2,10,9,8,7,6,5,4,3,1] => 011111111 => [1,8] => 9
[7,2,8,6,5,4,1,3] => 1011110 => [1,1,4,1] => 107
[7,2,8,5,4,6,1,3] => 1011010 => [1,1,2,1,1,1] => 359
[6,3,2,8,5,1,7,4] => 1101101 => [2,1,2,1,1] => 252
[8,4,7,2,5,6,3,1] => 1010011 => [1,1,1,2,2] => 255
[6,8,5,4,3,1,7,2] => 0111101 => [1,4,1,1] => 107
[5,8,6,4,1,3,7,2] => 0111001 => [1,3,2,1] => 185
[4,8,6,1,5,3,7,2] => 0110101 => [1,2,1,1,1,1] => 345
[3,6,1,8,5,2,7,4] => 0101101 => [1,1,1,2,1,1] => 359
[3,4,1,2,8,6,7,5] => 0100101 => [1,1,2,1,1,1] => 359
[6,8,3,5,4,1,7,2] => 0101101 => [1,1,1,2,1,1] => 359
[7,2,5,8,3,6,1,4] => 1001010 => [1,2,1,1,1,1] => 345
[1,7,5,6,3,4,2,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[7,2,6,8,5,3,1,4] => 1001110 => [1,2,3,1] => 185
[7,6,3,8,5,2,1,4] => 1101110 => [2,1,3,1] => 157
[7,2,6,4,8,3,1,5] => 1010110 => [1,1,1,1,2,1] => 345
[1,5,7,4,2,6,3,8] => 0011010 => [2,2,1,1,1] => 255
[4,2,3,1,7,8,5,6] => 1010010 => [1,1,1,2,1,1] => 359
[5,2,8,4,1,7,6,3] => 1011011 => [1,1,2,1,2] => 252
[8,6,3,4,7,2,5,1] => 1100101 => [2,2,1,1,1] => 255
[6,8,3,4,5,1,7,2] => 0100101 => [1,1,2,1,1,1] => 359
[1,6,3,2,5,8,4,7] => 0110010 => [1,2,2,1,1] => 295
[8,3,2,1,5,4,7,6] => 1110101 => [3,1,1,1,1] => 165
[6,3,7,1,5,8,4,2] => 1010011 => [1,1,1,2,2] => 255
[2,5,1,8,4,3,7,6] => 0101101 => [1,1,1,2,1,1] => 359
[6,2,5,4,8,1,3,7] => 1010100 => [1,1,1,1,1,2] => 297
[4,3,1,6,5,8,2,7] => 1101010 => [2,1,1,1,1,1] => 297
[1,3,5,4,6,8,2,7] => 0010010 => [2,1,2,1,1] => 252
[6,1,3,4,5,8,2,7] => 1000010 => [1,4,1,1] => 107
[8,3,4,1,5,2,7,6] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,5,4,2,6,8,3,1] => 1110011 => [3,2,2] => 105
[8,2,6,4,1,7,3,5] => 1011010 => [1,1,2,1,1,1] => 359
[7,3,8,4,5,2,1,6] => 1010110 => [1,1,1,1,2,1] => 345
[7,2,5,1,8,4,3,6] => 1010110 => [1,1,1,1,2,1] => 345
[1,7,3,2,5,4,8,6] => 0110101 => [1,2,1,1,1,1] => 345
[8,7,2,1,5,3,4,6] => 1110100 => [3,1,1,2] => 117
[3,6,1,5,8,7,4,2] => 0100111 => [1,1,2,3] => 145
[8,3,6,4,5,1,7,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,4,6,8,1,2,7,3] => 1001001 => [1,2,1,2,1] => 281
[6,4,7,2,3,5,8,1] => 1010001 => [1,1,1,3,1] => 219
[6,8,4,1,3,5,7,2] => 0110001 => [1,2,3,1] => 185
[3,4,7,8,6,2,5,1] => 0001101 => [3,2,1,1] => 145
[4,1,3,5,7,8,6,2] => 1000011 => [1,4,2] => 81
[6,5,1,8,4,7,3,2] => 1101011 => [2,1,1,1,2] => 207
[5,3,1,8,4,7,6,2] => 1101011 => [2,1,1,1,2] => 207
[8,2,7,4,6,1,3,5] => 1010100 => [1,1,1,1,1,2] => 297
[4,7,3,2,8,1,6,5] => 0110101 => [1,2,1,1,1,1] => 345
[6,3,1,4,7,2,8,5] => 1100101 => [2,2,1,1,1] => 255
[8,7,3,6,1,5,2,4] => 1101010 => [2,1,1,1,1,1] => 297
[7,4,3,6,8,2,5,1] => 1100101 => [2,2,1,1,1] => 255
[2,4,7,3,8,5,6,1] => 0010101 => [2,1,1,1,1,1] => 297
[2,8,6,1,5,7,3,4] => 0110010 => [1,2,2,1,1] => 295
[7,8,2,5,4,3,1,6] => 0101110 => [1,1,1,3,1] => 219
[1,8,3,4,2,7,6,5] => 0101011 => [1,1,1,1,1,2] => 297
[8,5,3,7,4,2,6,1] => 1101101 => [2,1,2,1,1] => 252
[5,7,3,2,4,1,8,6] => 0110101 => [1,2,1,1,1,1] => 345
[2,8,3,4,7,1,5,6] => 0100100 => [1,1,2,1,2] => 252
[4,1,3,6,7,8,2,5] => 1000010 => [1,4,1,1] => 107
[1,7,6,3,2,5,8,4] => 0111001 => [1,3,2,1] => 185
[3,8,1,5,6,2,7,4] => 0100101 => [1,1,2,1,1,1] => 359
[8,2,5,6,1,7,4,3] => 1001011 => [1,2,1,1,2] => 241
[7,1,5,2,8,6,4,3] => 1010111 => [1,1,1,1,3] => 165
[6,5,4,8,7,2,1,3] => 1101110 => [2,1,3,1] => 157
[1,8,6,4,5,2,7,3] => 0110101 => [1,2,1,1,1,1] => 345
[1,8,5,3,6,2,7,4] => 0110101 => [1,2,1,1,1,1] => 345
[3,6,2,1,7,5,8,4] => 0110101 => [1,2,1,1,1,1] => 345
[2,5,4,1,8,7,6,3] => 0110111 => [1,2,1,3] => 137
[4,7,2,6,5,8,1,3] => 0101010 => [1,1,1,1,1,1,1] => 429
[6,8,1,4,2,7,3,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[6,3,4,7,1,8,2,5] => 1001010 => [1,2,1,1,1,1] => 345
[3,4,7,8,2,5,6,1] => 0001001 => [3,1,2,1] => 137
[1,8,2,4,5,6,7,3] => 0100001 => [1,1,4,1] => 107
[5,2,4,1,6,8,7,3] => 1010011 => [1,1,1,2,2] => 255
[3,2,5,7,6,1,8,4] => 1001101 => [1,2,2,1,1] => 295
[4,3,5,6,1,8,7,2] => 1001011 => [1,2,1,1,2] => 241
[5,3,4,1,7,6,8,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[3,1,4,6,5,7,8,2] => 1001001 => [1,2,1,2,1] => 281
[1,4,7,3,5,6,8,2] => 0010001 => [2,1,3,1] => 157
[1,3,2,7,5,8,6,4] => 0101011 => [1,1,1,1,1,2] => 297
[1,4,2,5,8,3,7,6] => 0100101 => [1,1,2,1,1,1] => 359
[4,1,2,6,8,5,3,7] => 1000110 => [1,3,2,1] => 185
[1,5,2,4,8,7,6,3] => 0100111 => [1,1,2,3] => 145
[1,2,6,4,8,7,5,3] => 0010111 => [2,1,1,3] => 117
[1,2,7,4,8,6,5,3] => 0010111 => [2,1,1,3] => 117
[1,3,2,7,5,8,4,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,3,2,8,5,7,4,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,5,2,4,8,7,3,6] => 0100110 => [1,1,2,2,1] => 295
[1,2,6,4,8,7,3,5] => 0010110 => [2,1,1,2,1] => 241
[1,2,7,8,5,6,3,4] => 0001010 => [3,1,1,1,1] => 165
[1,3,8,2,6,7,4,5] => 0010010 => [2,1,2,1,1] => 252
[1,6,7,8,2,5,3,4] => 0001010 => [3,1,1,1,1] => 165
[1,5,7,8,2,3,6,4] => 0001001 => [3,1,2,1] => 137
[1,5,2,7,8,4,6,3] => 0100101 => [1,1,2,1,1,1] => 359
[1,3,6,2,4,8,7,5] => 0010011 => [2,1,2,2] => 180
[1,6,7,3,4,8,5,2] => 0010011 => [2,1,2,2] => 180
[1,5,3,7,4,8,6,2] => 0101011 => [1,1,1,1,1,2] => 297
[2,8,4,1,5,3,7,6] => 0110101 => [1,2,1,1,1,1] => 345
[3,8,4,1,5,7,2,6] => 0110010 => [1,2,2,1,1] => 295
[1,3,8,4,2,7,6,5] => 0011011 => [2,2,1,2] => 180
[1,2,8,4,7,3,6,5] => 0010101 => [2,1,1,1,1,1] => 297
[1,2,7,4,8,3,6,5] => 0010101 => [2,1,1,1,1,1] => 297
[1,2,6,4,8,3,7,5] => 0010101 => [2,1,1,1,1,1] => 297
[1,5,2,4,8,3,7,6] => 0100101 => [1,1,2,1,1,1] => 359
[1,8,3,5,2,7,4,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,3,8,6,2,7,4,5] => 0011010 => [2,2,1,1,1] => 255
[1,4,8,6,7,2,3,5] => 0010100 => [2,1,1,1,2] => 207
[1,2,6,8,5,3,7,4] => 0001101 => [3,2,1,1] => 145
[1,2,7,8,6,3,5,4] => 0001101 => [3,2,1,1] => 145
[1,6,7,8,5,2,3,4] => 0001100 => [3,2,2] => 105
[1,5,7,8,6,2,3,4] => 0001100 => [3,2,2] => 105
[1,4,7,6,8,2,3,5] => 0010100 => [2,1,1,1,2] => 207
[1,3,7,6,2,8,4,5] => 0011010 => [2,2,1,1,1] => 255
[2,3,8,7,4,1,6,5] => 0011101 => [2,3,1,1] => 171
[1,2,5,8,7,6,3,4] => 0001110 => [3,3,1] => 95
[1,2,6,8,7,5,3,4] => 0001110 => [3,3,1] => 95
[1,2,7,8,6,5,3,4] => 0001110 => [3,3,1] => 95
[5,2,6,7,3,4,8,1] => 1001001 => [1,2,1,2,1] => 281
[5,2,4,7,6,3,8,1] => 1001101 => [1,2,2,1,1] => 295
[5,6,2,1,7,8,3,4] => 0110010 => [1,2,2,1,1] => 295
[5,6,2,1,4,8,7,3] => 0110011 => [1,2,2,2] => 211
[2,6,1,4,5,8,7,3] => 0100011 => [1,1,3,2] => 171
[5,4,2,7,6,3,8,1] => 1101101 => [2,1,2,1,1] => 252
[2,3,7,6,4,5,8,1] => 0011001 => [2,2,2,1] => 211
[2,6,1,7,5,8,3,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,6,1,7,4,8,5,3] => 0101011 => [1,1,1,1,1,2] => 297
[5,1,2,7,8,4,3,6] => 1000110 => [1,3,2,1] => 185
[2,6,1,7,4,8,3,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,6,4,1,7,8,2,5] => 0110010 => [1,2,2,1,1] => 295
[5,4,6,1,3,8,7,2] => 1010011 => [1,1,1,2,2] => 255
[3,6,4,1,5,8,7,2] => 0110011 => [1,2,2,2] => 211
[2,6,1,5,4,8,7,3] => 0101011 => [1,1,1,1,1,2] => 297
[2,6,1,4,7,8,5,3] => 0100011 => [1,1,3,2] => 171
[5,1,2,4,8,6,7,3] => 1000101 => [1,3,1,1,1] => 219
[5,1,2,4,8,7,3,6] => 1000110 => [1,3,2,1] => 185
[5,1,2,4,8,7,6,3] => 1000111 => [1,3,3] => 95
[1,2,3,8,5,4,7,6] => 0001101 => [3,2,1,1] => 145
[4,3,1,2,8,5,7,6] => 1100101 => [2,2,1,1,1] => 255
[2,1,5,3,8,6,4,7] => 1010110 => [1,1,1,1,2,1] => 345
[1,2,3,8,5,6,4,7] => 0001010 => [3,1,1,1,1] => 165
[1,2,3,8,6,4,5,7] => 0001100 => [3,2,2] => 105
[1,2,3,8,6,5,4,7] => 0001110 => [3,3,1] => 95
[1,2,3,8,5,4,6,7] => 0001100 => [3,2,2] => 105
[2,6,1,5,4,8,3,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,1,2,4,8,6,3,7] => 1000110 => [1,3,2,1] => 185
[5,1,2,4,8,3,7,6] => 1000101 => [1,3,1,1,1] => 219
[5,6,3,1,4,8,2,7] => 0110010 => [1,2,2,1,1] => 295
[2,5,4,3,1,8,6,7] => 0111010 => [1,3,1,1,1] => 219
[5,4,6,3,1,8,7,2] => 1011011 => [1,1,2,1,2] => 252
[3,6,4,5,1,8,7,2] => 0101011 => [1,1,1,1,1,2] => 297
[3,6,5,4,1,8,7,2] => 0111011 => [1,3,1,2] => 157
[5,2,6,1,7,8,4,3] => 1010011 => [1,1,1,2,2] => 255
[5,1,6,2,8,7,3,4] => 1010110 => [1,1,1,1,2,1] => 345
[2,1,3,7,8,6,4,5] => 1000110 => [1,3,2,1] => 185
[2,1,3,7,8,5,6,4] => 1000101 => [1,3,1,1,1] => 219
[5,2,4,1,7,8,6,3] => 1010011 => [1,1,1,2,2] => 255
[4,3,1,2,8,6,7,5] => 1100101 => [2,2,1,1,1] => 255
[5,1,4,2,8,6,7,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[2,1,3,6,8,5,7,4] => 1000101 => [1,3,1,1,1] => 219
[1,2,3,8,6,7,4,5] => 0001010 => [3,1,1,1,1] => 165
[1,2,3,8,7,5,4,6] => 0001110 => [3,3,1] => 95
[1,2,3,8,7,4,5,6] => 0001100 => [3,2,2] => 105
[1,2,3,8,5,7,4,6] => 0001010 => [3,1,1,1,1] => 165
[2,1,3,6,8,7,4,5] => 1000110 => [1,3,2,1] => 185
[5,4,1,2,8,7,6,3] => 1100111 => [2,2,3] => 105
[3,1,6,2,8,7,5,4] => 1010111 => [1,1,1,1,3] => 165
[1,2,3,4,5,9,6,7,8] => 00000100 => [5,1,2] => 83
[1,2,3,4,9,5,6,7,8] => 00001000 => [4,1,3] => 125
[1,2,3,9,4,5,6,7,8] => 00010000 => [3,1,4] => 125
[1,2,9,3,4,5,6,7,8] => 00100000 => [2,1,5] => 83
[1,2,3,4,5,6,7,10,8,9] => 000000010 => [7,1,1] => 44
[1,2,3,4,5,9,7,6,8] => 00000110 => [5,2,1] => 98
[1,2,3,4,5,6,10,7,8,9] => 000000100 => [6,1,2] => 119
[1,2,3,4,9,6,5,7,8] => 00001100 => [4,2,2] => 185
[1,2,3,4,5,10,6,7,8,9] => 000001000 => [5,1,3] => 209
[1,2,8,4,5,3,6,7] => 0010100 => [2,1,1,1,2] => 207
[1,2,3,9,5,4,6,7,8] => 00011000 => [3,2,3] => 226
[1,2,3,4,10,5,6,7,8,9] => 000010000 => [4,1,4] => 251
[1,8,3,4,2,5,6,7] => 0101000 => [1,1,1,1,3] => 165
[1,2,9,4,3,5,6,7,8] => 00110000 => [2,2,4] => 185
[1,2,3,10,4,5,6,7,8,9] => 000100000 => [3,1,5] => 209
[1,8,4,3,2,5,6,7] => 0111000 => [1,3,3] => 95
[1,9,3,2,4,5,6,7,8] => 01100000 => [1,2,5] => 98
[1,2,10,3,4,5,6,7,8,9] => 001000000 => [2,1,6] => 119
[8,4,7,6,5,3,2,1] => 1011111 => [1,1,5] => 27
[8,4,7,5,6,3,2,1] => 1010111 => [1,1,1,1,3] => 165
[8,5,7,4,6,3,2,1] => 1010111 => [1,1,1,1,3] => 165
[8,7,6,3,5,4,2,1] => 1110111 => [3,1,3] => 69
[8,6,7,3,5,4,2,1] => 1010111 => [1,1,1,1,3] => 165
[8,5,7,3,6,4,2,1] => 1010111 => [1,1,1,1,3] => 165
[8,1,7,4,6,5,3,2] => 1010111 => [1,1,1,1,3] => 165
[8,1,7,3,6,5,4,2] => 1010111 => [1,1,1,1,3] => 165
[8,2,7,3,6,5,4,1] => 1010111 => [1,1,1,1,3] => 165
[8,3,7,2,6,5,4,1] => 1010111 => [1,1,1,1,3] => 165
[8,5,7,2,6,4,3,1] => 1010111 => [1,1,1,1,3] => 165
[8,6,7,2,5,4,3,1] => 1010111 => [1,1,1,1,3] => 165
[8,7,6,2,5,4,3,1] => 1110111 => [3,1,3] => 69
[8,4,7,1,6,5,3,2] => 1010111 => [1,1,1,1,3] => 165
[8,3,7,1,6,5,4,2] => 1010111 => [1,1,1,1,3] => 165
[8,2,7,1,6,5,4,3] => 1010111 => [1,1,1,1,3] => 165
[8,1,7,2,6,5,4,3] => 1010111 => [1,1,1,1,3] => 165
[8,7,6,2,5,3,4,1] => 1110101 => [3,1,1,1,1] => 165
[8,1,7,6,5,3,4,2] => 1011101 => [1,1,3,1,1] => 233
[8,3,7,6,5,2,4,1] => 1011101 => [1,1,3,1,1] => 233
[8,4,7,6,5,2,3,1] => 1011101 => [1,1,3,1,1] => 233
[8,5,7,6,4,2,3,1] => 1011101 => [1,1,3,1,1] => 233
[8,6,7,5,4,1,3,2] => 1011101 => [1,1,3,1,1] => 233
[8,5,7,6,4,1,3,2] => 1011101 => [1,1,3,1,1] => 233
[8,3,7,6,5,1,4,2] => 1011101 => [1,1,3,1,1] => 233
[8,7,6,4,5,1,3,2] => 1110101 => [3,1,1,1,1] => 165
[8,7,6,2,5,1,4,3] => 1110101 => [3,1,1,1,1] => 165
[8,7,6,1,5,2,4,3] => 1110101 => [3,1,1,1,1] => 165
[6,8,1,3,2,5,4,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[6,8,1,4,2,5,3,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[7,8,3,6,1,4,2,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[7,8,2,5,3,6,1,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[7,8,2,5,1,4,3,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[7,8,1,4,3,6,2,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,8,1,4,3,7,2,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[6,8,2,5,1,4,3,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[6,8,2,5,3,7,1,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[6,8,2,5,4,7,1,3] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,5,4,7,6,8,1,3] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,5,3,7,6,8,1,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,5,1,4,3,7,6,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,6,1,4,3,7,5,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,6,5,8,1,4,3,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,6,1,5,3,7,4,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,6,3,7,4,8,1,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,6,4,7,5,8,1,3] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,8,3,6,4,7,1,2] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,8,2,6,4,7,1,3] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,8,2,6,3,7,1,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,8,1,5,3,7,2,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,8,1,5,2,6,3,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,8,3,7,1,5,2,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[6,8,3,7,1,4,2,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,8,1,3,2,6,4,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,8,4,7,1,3,2,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[6,8,4,7,1,3,2,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[6,8,5,7,1,3,2,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,7,6,8,2,4,1,3] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,7,6,8,1,3,2,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,7,5,8,1,3,2,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,7,1,3,2,6,5,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,7,1,4,2,6,5,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,7,5,8,1,4,2,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,7,6,8,1,4,2,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,7,6,8,2,5,1,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,7,6,8,2,5,1,3] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,7,5,8,3,6,1,2] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,7,5,8,2,6,1,3] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,7,5,8,2,6,1,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,7,4,8,2,6,1,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,7,4,8,1,5,2,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,7,1,5,2,6,4,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,7,2,6,1,5,4,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,7,2,6,5,8,1,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,7,3,6,5,8,1,2] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,6,5,8,4,7,1,2] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,6,5,8,4,7,1,3] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,6,5,8,3,7,1,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,6,3,7,1,5,4,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[7,6,4,2,8,5,3,1] => 1110111 => [3,1,3] => 69
[7,6,4,3,8,2,5,1] => 1110101 => [3,1,1,1,1] => 165
[7,6,4,8,5,2,3,1] => 1101101 => [2,1,2,1,1] => 252
[6,8,4,3,7,2,1,5] => 0110110 => [1,2,1,2,1] => 281
[6,7,4,3,5,1,8,2] => 0110101 => [1,2,1,1,1,1] => 345
[6,7,3,5,4,8,2,1] => 0101011 => [1,1,1,1,1,2] => 297
[6,8,3,7,5,2,4,1] => 0101101 => [1,1,1,2,1,1] => 359
[7,6,8,3,5,2,4,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,6,3,5,8,2,4,1] => 1100101 => [2,2,1,1,1] => 255
[7,6,3,5,2,4,8,1] => 1101001 => [2,1,1,2,1] => 241
[7,6,4,2,5,1,8,3] => 1110101 => [3,1,1,1,1] => 165
[7,6,2,8,4,1,5,3] => 1101101 => [2,1,2,1,1] => 252
[7,6,3,8,2,4,1,5] => 1101010 => [2,1,1,1,1,1] => 297
[7,6,3,4,8,2,5,1] => 1100101 => [2,2,1,1,1] => 255
[6,8,3,7,4,5,2,1] => 0101011 => [1,1,1,1,1,2] => 297
[6,7,3,5,8,4,2,1] => 0100111 => [1,1,2,3] => 145
[5,7,8,3,6,2,1,4] => 0010110 => [2,1,1,2,1] => 241
[5,8,3,6,7,2,1,4] => 0100110 => [1,1,2,2,1] => 295
[6,3,4,8,7,2,5,1] => 1001101 => [1,2,2,1,1] => 295
[6,3,8,4,7,2,1,5] => 1010110 => [1,1,1,1,2,1] => 345
[6,2,8,4,1,7,5,3] => 1011011 => [1,1,2,1,2] => 252
[6,2,7,4,1,5,3,8] => 1011010 => [1,1,2,1,1,1] => 359
[6,3,4,7,5,8,2,1] => 1001011 => [1,2,1,1,2] => 241
[6,3,5,7,8,4,2,1] => 1000111 => [1,3,3] => 95
[5,7,3,6,8,2,1,4] => 0100110 => [1,1,2,2,1] => 295
[5,6,8,3,7,2,1,4] => 0010110 => [2,1,1,2,1] => 241
[5,6,7,3,4,1,8,2] => 0010101 => [2,1,1,1,1,1] => 297
[4,6,7,8,3,5,2,1] => 0001011 => [3,1,1,2] => 117
[4,6,8,3,5,7,2,1] => 0010011 => [2,1,2,2] => 180
[4,7,3,5,6,8,2,1] => 0100011 => [1,1,3,2] => 171
[4,7,3,5,8,2,6,1] => 0100101 => [1,1,2,1,1,1] => 359
[5,3,4,7,8,2,1,6] => 1000110 => [1,3,2,1] => 185
[5,3,8,2,4,1,6,7] => 1010100 => [1,1,1,1,1,2] => 297
[5,3,4,8,2,6,1,7] => 1001010 => [1,2,1,1,1,1] => 345
[4,8,3,6,2,5,7,1] => 0101001 => [1,1,1,1,2,1] => 345
[4,8,3,5,7,2,6,1] => 0100101 => [1,1,2,1,1,1] => 359
[4,8,3,5,6,7,2,1] => 0100011 => [1,1,3,2] => 171
[4,7,8,3,5,6,2,1] => 0010011 => [2,1,2,2] => 180
[4,7,8,3,6,2,5,1] => 0010101 => [2,1,1,1,1,1] => 297
[4,8,3,6,7,2,5,1] => 0100101 => [1,1,2,1,1,1] => 359
[4,8,3,7,2,5,6,1] => 0101001 => [1,1,1,1,2,1] => 345
[5,3,4,8,2,7,6,1] => 1001011 => [1,2,1,1,2] => 241
[5,3,8,2,4,1,7,6] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,2,8,4,1,7,3,6] => 1011010 => [1,1,2,1,1,1] => 359
[6,4,2,5,1,8,7,3] => 1101011 => [2,1,1,1,2] => 207
[6,4,3,5,8,2,1,7] => 1100110 => [2,2,2,1] => 211
[6,3,5,8,7,2,4,1] => 1001101 => [1,2,2,1,1] => 295
[5,8,3,7,2,6,4,1] => 0101011 => [1,1,1,1,1,2] => 297
[5,7,3,4,8,2,1,6] => 0100110 => [1,1,2,2,1] => 295
[5,8,4,2,3,1,6,7] => 0110100 => [1,2,1,1,2] => 241
[5,8,4,2,3,1,7,6] => 0110101 => [1,2,1,1,1,1] => 345
[6,4,5,3,8,2,1,7] => 1010110 => [1,1,1,1,2,1] => 345
[6,4,8,5,3,7,2,1] => 1011011 => [1,1,2,1,2] => 252
[6,4,3,8,5,7,2,1] => 1101011 => [2,1,1,1,2] => 207
[6,4,2,8,5,3,1,7] => 1101110 => [2,1,3,1] => 157
[6,4,2,7,3,1,8,5] => 1101101 => [2,1,2,1,1] => 252
[6,4,3,7,8,5,2,1] => 1100111 => [2,2,3] => 105
[6,4,5,3,7,1,8,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,7,4,2,3,1,6,8] => 0110100 => [1,2,1,1,2] => 241
[5,6,3,7,1,8,2,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,6,3,4,7,1,8,2] => 0100101 => [1,1,2,1,1,1] => 359
[5,6,3,4,8,2,1,7] => 0100110 => [1,1,2,2,1] => 295
[6,3,5,7,4,8,2,1] => 1001011 => [1,2,1,1,2] => 241
[6,3,5,4,7,8,2,1] => 1010011 => [1,1,1,2,2] => 255
[6,4,3,5,7,1,8,2] => 1100101 => [2,2,1,1,1] => 255
[6,4,2,5,1,7,3,8] => 1101010 => [2,1,1,1,1,1] => 297
[5,3,7,2,4,1,6,8] => 1010100 => [1,1,1,1,1,2] => 297
[5,3,4,7,2,6,1,8] => 1001010 => [1,2,1,1,1,1] => 345
[4,7,3,6,2,5,8,1] => 0101001 => [1,1,1,1,2,1] => 345
[4,7,3,6,8,2,5,1] => 0100101 => [1,1,2,1,1,1] => 359
[4,6,7,3,5,8,2,1] => 0010011 => [2,1,2,2] => 180
[4,5,7,8,3,6,2,1] => 0001011 => [3,1,1,2] => 117
[4,5,8,3,6,7,2,1] => 0010011 => [2,1,2,2] => 180
[4,5,8,3,7,2,6,1] => 0010101 => [2,1,1,1,1,1] => 297
[5,3,4,6,8,2,1,7] => 1000110 => [1,3,2,1] => 185
[5,3,6,8,2,1,4,7] => 1001100 => [1,2,2,2] => 211
[5,3,6,7,1,8,2,4] => 1001010 => [1,2,1,1,1,1] => 345
[5,3,4,6,7,1,8,2] => 1000101 => [1,3,1,1,1] => 219
[4,6,3,5,7,8,2,1] => 0100011 => [1,1,3,2] => 171
[4,5,7,3,6,8,2,1] => 0010011 => [2,1,2,2] => 180
[4,5,6,8,3,7,2,1] => 0001011 => [3,1,1,2] => 117
[5,7,4,8,6,3,2,1] => 0101111 => [1,1,1,4] => 75
[3,2,6,5,1,8,7,4] => 1011011 => [1,1,2,1,2] => 252
[3,5,6,7,2,8,4,1] => 0001011 => [3,1,1,2] => 117
[7,6,9,8,5,4,3,2,1] => 10111111 => [1,1,6] => 35
[6,5,4,9,8,7,3,2,1] => 11011111 => [2,1,5] => 83
[6,8,5,9,7,4,3,2,1] => 01011111 => [1,1,1,5] => 110
[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] => 125
[5,8,4,3,9,7,6,2,1] => 01101111 => [1,2,1,4] => 235
[5,4,7,6,9,8,3,2,1] => 10101111 => [1,1,1,1,4] => 275
[5,7,8,4,9,6,3,2,1] => 00101111 => [2,1,1,4] => 200
[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] => 332
[4,3,7,6,2,9,8,5,1] => 10110111 => [1,1,2,1,3] => 502
[4,7,8,3,2,9,6,5,1] => 00110111 => [2,2,1,3] => 365
[4,6,3,8,5,9,7,2,1] => 01010111 => [1,1,1,1,1,3] => 572
[4,6,7,8,3,9,5,2,1] => 00010111 => [3,1,1,3] => 242
[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] => 623
[3,6,2,8,5,1,9,7,4] => 01011011 => [1,1,1,2,1,2] => 875
[3,6,7,8,2,1,9,5,4] => 00011011 => [3,2,1,2] => 371
[3,2,5,4,7,6,9,8,1] => 10101011 => [1,1,1,1,1,1,2] => 1001
[3,5,7,2,8,4,9,6,1] => 00101011 => [2,1,1,1,1,2] => 704
[3,5,6,7,8,2,9,4,1] => 00001011 => [4,1,1,2] => 200
[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] => 572
[2,4,5,6,7,8,1,9,3] => 00000101 => [5,1,1,1] => 110
[8,7,10,9,6,5,4,3,2,1] => 101111111 => [1,1,7] => 44
[8,9,10,7,6,5,4,3,2,1] => 001111111 => [2,7] => 36
[7,6,5,10,9,8,4,3,2,1] => 110111111 => [2,1,6] => 119
[7,9,6,10,8,5,4,3,2,1] => 010111111 => [1,1,1,6] => 154
[7,8,9,10,6,5,4,3,2,1] => 000111111 => [3,6] => 84
[6,5,4,3,10,9,8,7,2,1] => 111011111 => [3,1,5] => 209
[6,9,5,4,10,8,7,3,2,1] => 011011111 => [1,2,1,5] => 375
[6,5,8,7,10,9,4,3,2,1] => 101011111 => [1,1,1,1,5] => 429
[6,8,9,5,10,7,4,3,2,1] => 001011111 => [2,1,1,5] => 319
[5,4,3,2,1,10,9,8,7,6] => 111101111 => [4,1,4] => 251
[5,9,4,3,2,10,8,7,6,1] => 011101111 => [1,3,1,4] => 626
[5,4,8,7,3,10,9,6,2,1] => 101101111 => [1,1,2,1,4] => 901
[5,8,9,4,3,10,7,6,2,1] => 001101111 => [2,2,1,4] => 666
[5,7,4,9,6,10,8,3,2,1] => 010101111 => [1,1,1,1,1,4] => 1001
[5,6,7,8,9,10,4,3,2,1] => 000001111 => [5,4] => 126
[4,3,8,7,2,1,10,9,6,5] => 101110111 => [1,1,3,1,3] => 1330
[4,8,9,3,2,1,10,7,6,5] => 001110111 => [2,3,1,3] => 998
[4,3,2,7,6,5,10,9,8,1] => 110110111 => [2,1,2,1,3] => 1304
[4,7,3,9,6,2,10,8,5,1] => 010110111 => [1,1,1,2,1,3] => 1806
[4,7,8,9,3,2,10,6,5,1] => 000110111 => [3,2,1,3] => 802
[4,3,6,5,8,7,10,9,2,1] => 101010111 => [1,1,1,1,1,1,3] => 2002
[4,6,7,8,9,3,10,5,2,1] => 000010111 => [4,1,1,3] => 451
[4,5,6,7,8,9,10,3,2,1] => 000000111 => [6,3] => 84
[3,6,2,1,9,5,4,10,8,7] => 011011011 => [1,2,1,2,1,2] => 2550
[3,2,6,5,8,7,1,10,9,4] => 101011011 => [1,1,1,1,2,1,2] => 3054
[3,6,8,2,9,5,1,10,7,4] => 001011011 => [2,1,1,2,1,2] => 2179
[3,6,7,8,9,2,1,10,5,4] => 000011011 => [4,2,1,2] => 681
[3,5,7,8,2,9,4,10,6,1] => 000101011 => [3,1,1,1,1,2] => 1430
[3,5,6,7,8,9,2,10,4,1] => 000001011 => [5,1,1,2] => 319
[3,4,5,6,7,8,9,10,2,1] => 000000011 => [7,2] => 36
[2,4,6,1,8,3,9,5,10,7] => 001010101 => [2,1,1,1,1,1,1,1] => 3432
[2,4,6,7,8,1,9,3,10,5] => 000010101 => [4,1,1,1,1,1] => 1001
[2,4,5,6,7,8,9,1,10,3] => 000000101 => [6,1,1,1] => 154
[1,6,2,5,3,4,8,7] => 0101001 => [1,1,1,1,2,1] => 345
[1,3,8,2,4,6,5,7] => 0010010 => [2,1,2,1,1] => 252
[1,7,2,3,6,4,8,5] => 0100101 => [1,1,2,1,1,1] => 359
[1,6,8,2,5,3,7,4] => 0010101 => [2,1,1,1,1,1] => 297
[1,8,2,5,3,4,7,6] => 0101001 => [1,1,1,1,2,1] => 345
[1,8,2,3,6,4,7,5] => 0100101 => [1,1,2,1,1,1] => 359
[1,3,5,2,8,4,7,6] => 0010101 => [2,1,1,1,1,1] => 297
[1,2,7,3,5,4,6,8] => 0010100 => [2,1,1,1,2] => 207
[1,8,2,7,3,4,6,5] => 0101001 => [1,1,1,1,2,1] => 345
[1,5,8,2,3,7,4,6] => 0010010 => [2,1,2,1,1] => 252
[1,6,8,2,3,5,4,7] => 0010010 => [2,1,2,1,1] => 252
[5,3,6,1,2,4,8,7] => 1010001 => [1,1,1,3,1] => 219
[7,1,5,8,4,2,3,6] => 1001100 => [1,2,2,2] => 211
[8,1,5,7,4,2,3,6] => 1001100 => [1,2,2,2] => 211
[7,1,4,5,8,2,3,6] => 1000100 => [1,3,1,2] => 157
[7,4,1,6,2,8,3,5] => 1101010 => [2,1,1,1,1,1] => 297
[8,4,1,7,2,6,3,5] => 1101010 => [2,1,1,1,1,1] => 297
[8,1,4,7,5,2,3,6] => 1001100 => [1,2,2,2] => 211
[8,1,5,4,7,2,3,6] => 1010100 => [1,1,1,1,1,2] => 297
[2,1,7,5,8,3,4,6] => 1010100 => [1,1,1,1,1,2] => 297
[7,1,5,4,8,2,3,6] => 1010100 => [1,1,1,1,1,2] => 297
[7,1,4,8,5,2,3,6] => 1001100 => [1,2,2,2] => 211
[6,4,1,7,2,3,8,5] => 1101001 => [2,1,1,2,1] => 241
[7,8,3,1,2,4,6,5] => 0110001 => [1,2,3,1] => 185
[8,7,1,6,4,2,3,5] => 1101100 => [2,1,2,2] => 180
[8,6,1,7,4,2,3,5] => 1101100 => [2,1,2,2] => 180
[7,6,1,8,4,2,3,5] => 1101100 => [2,1,2,2] => 180
[7,3,8,1,2,4,6,5] => 1010001 => [1,1,1,3,1] => 219
[8,3,7,1,2,4,6,5] => 1010001 => [1,1,1,3,1] => 219
[8,3,6,1,2,4,7,5] => 1010001 => [1,1,1,3,1] => 219
[8,3,7,5,1,2,4,6] => 1011000 => [1,1,2,3] => 145
[7,3,6,1,2,4,8,5] => 1010001 => [1,1,1,3,1] => 219
[6,7,1,8,4,2,3,5] => 0101100 => [1,1,1,2,2] => 255
[6,8,1,7,4,2,3,5] => 0101100 => [1,1,1,2,2] => 255
[7,1,8,5,4,2,3,6] => 1011100 => [1,1,3,2] => 171
[7,1,8,4,5,2,3,6] => 1010100 => [1,1,1,1,1,2] => 297
[2,1,7,8,5,3,4,6] => 1001100 => [1,2,2,2] => 211
[7,6,3,1,2,4,8,5] => 1110001 => [3,3,1] => 95
[6,1,2,3,8,7,5,4] => 1000111 => [1,3,3] => 95
[6,8,1,4,2,3,7,5] => 0101001 => [1,1,1,1,2,1] => 345
[6,8,3,1,2,7,4,5] => 0110010 => [1,2,2,1,1] => 295
[6,7,3,1,2,8,4,5] => 0110010 => [1,2,2,1,1] => 295
[6,7,1,4,2,3,8,5] => 0101001 => [1,1,1,1,2,1] => 345
[4,3,6,8,5,7,1,2] => 1001010 => [1,2,1,1,1,1] => 345
[6,1,2,5,4,8,3,7] => 1001010 => [1,2,1,1,1,1] => 345
[3,2,8,5,4,1,7,6] => 1011101 => [1,1,3,1,1] => 233
[7,8,2,1,4,6,3,5] => 0110010 => [1,2,2,1,1] => 295
[7,2,1,5,8,3,4,6] => 1100100 => [2,2,1,2] => 180
[2,4,8,5,1,3,6,7] => 0011000 => [2,2,3] => 105
[3,5,6,1,8,4,2,7] => 0010110 => [2,1,1,2,1] => 241
[1,3,6,8,7,4,2,5] => 0001110 => [3,3,1] => 95
[1,2,8,5,7,3,4,6] => 0010100 => [2,1,1,1,2] => 207
[2,6,1,5,8,3,4,7] => 0100100 => [1,1,2,1,2] => 252
[5,7,1,6,8,4,3,2] => 0100111 => [1,1,2,3] => 145
[4,8,1,2,5,7,3,6] => 0100010 => [1,1,3,1,1] => 233
[8,4,6,2,5,7,3,1] => 1010011 => [1,1,1,2,2] => 255
[8,3,6,4,7,2,5,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[3,8,1,4,7,2,5,6] => 0100100 => [1,1,2,1,2] => 252
[1,7,8,4,6,2,5,3] => 0010101 => [2,1,1,1,1,1] => 297
[3,7,4,8,5,1,6,2] => 0101101 => [1,1,1,2,1,1] => 359
[3,7,1,6,5,4,8,2] => 0101101 => [1,1,1,2,1,1] => 359
[2,7,3,1,5,8,4,6] => 0110010 => [1,2,2,1,1] => 295
[2,7,4,6,8,1,3,5] => 0100100 => [1,1,2,1,2] => 252
[2,7,5,8,6,4,1,3] => 0101110 => [1,1,1,3,1] => 219
[8,2,6,7,5,4,3,1] => 1001111 => [1,2,4] => 65
[3,8,7,1,6,4,5,2] => 0110101 => [1,2,1,1,1,1] => 345
[3,6,8,2,7,4,1,5] => 0010110 => [2,1,1,2,1] => 241
[1,5,2,8,7,4,6,3] => 0101101 => [1,1,1,2,1,1] => 359
[3,4,2,7,8,1,6,5] => 0100101 => [1,1,2,1,1,1] => 359
[4,1,3,7,5,6,8,2] => 1001001 => [1,2,1,2,1] => 281
[6,3,8,1,7,4,2,5] => 1010110 => [1,1,1,1,2,1] => 345
[6,5,8,7,1,4,2,3] => 1011010 => [1,1,2,1,1,1] => 359
[4,1,7,3,8,5,2,6] => 1010110 => [1,1,1,1,2,1] => 345
[3,6,1,4,5,8,2,7] => 0100010 => [1,1,3,1,1] => 233
[1,6,7,4,5,3,8,2] => 0010101 => [2,1,1,1,1,1] => 297
[6,1,7,3,5,4,8,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,3,1,2,5,8,4,7] => 1100010 => [2,3,1,1] => 171
[1,4,7,2,8,5,3,6] => 0010110 => [2,1,1,2,1] => 241
[5,6,8,7,2,4,1,3] => 0011010 => [2,2,1,1,1] => 255
[6,8,5,7,1,2,4,3] => 0101001 => [1,1,1,1,2,1] => 345
[2,8,4,1,7,5,6,3] => 0110101 => [1,2,1,1,1,1] => 345
[8,2,4,3,7,5,6,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,8,2,1,5,7,3,4] => 0110010 => [1,2,2,1,1] => 295
[7,2,8,4,1,6,3,5] => 1011010 => [1,1,2,1,1,1] => 359
[1,2,4,8,6,5,3,7] => 0001110 => [3,3,1] => 95
[7,1,5,6,8,4,3,2] => 1000111 => [1,3,3] => 95
[2,7,8,1,4,6,3,5] => 0010010 => [2,1,2,1,1] => 252
[4,8,2,5,7,1,6,3] => 0100101 => [1,1,2,1,1,1] => 359
[4,1,6,8,5,3,7,2] => 1001101 => [1,2,2,1,1] => 295
[5,2,6,4,8,3,1,7] => 1010110 => [1,1,1,1,2,1] => 345
[6,7,1,3,4,5,8,2] => 0100001 => [1,1,4,1] => 107
[1,7,3,2,4,8,5,6] => 0110010 => [1,2,2,1,1] => 295
[1,3,6,5,2,8,4,7] => 0011010 => [2,2,1,1,1] => 255
[7,1,6,5,3,4,8,2] => 1011001 => [1,1,2,2,1] => 295
[6,3,4,2,8,7,5,1] => 1010111 => [1,1,1,1,3] => 165
[4,3,8,7,5,2,6,1] => 1011101 => [1,1,3,1,1] => 233
[6,8,7,4,2,3,5,1] => 0111001 => [1,3,2,1] => 185
[3,6,4,5,2,8,7,1] => 0101011 => [1,1,1,1,1,2] => 297
[8,6,1,3,5,4,2,7] => 1100110 => [2,2,2,1] => 211
[5,3,8,6,1,2,4,7] => 1011000 => [1,1,2,3] => 145
[2,5,6,3,4,8,7,1] => 0010011 => [2,1,2,2] => 180
[2,5,3,6,8,7,4,1] => 0100111 => [1,1,2,3] => 145
[4,8,7,3,5,2,6,1] => 0110101 => [1,2,1,1,1,1] => 345
[3,8,7,2,6,4,5,1] => 0110101 => [1,2,1,1,1,1] => 345
[6,3,5,4,8,7,2,1] => 1010111 => [1,1,1,1,3] => 165
[4,3,8,6,1,5,2,7] => 1011010 => [1,1,2,1,1,1] => 359
[4,7,6,2,5,3,8,1] => 0110101 => [1,2,1,1,1,1] => 345
[7,5,2,6,8,1,4,3] => 1100101 => [2,2,1,1,1] => 255
[8,5,2,7,1,4,3,6] => 1101010 => [2,1,1,1,1,1] => 297
[1,8,5,3,6,2,4,7] => 0110100 => [1,2,1,1,2] => 241
[5,1,7,2,4,3,8,6] => 1010101 => [1,1,1,1,1,1,1] => 429
[1,5,3,4,8,6,2,7] => 0100110 => [1,1,2,2,1] => 295
[5,4,1,3,8,6,2,7] => 1100110 => [2,2,2,1] => 211
[5,1,8,6,3,4,2,7] => 1011010 => [1,1,2,1,1,1] => 359
[4,5,2,8,3,7,6,1] => 0101011 => [1,1,1,1,1,2] => 297
[8,2,3,7,6,4,5,1] => 1001101 => [1,2,2,1,1] => 295
[5,8,2,4,7,6,3,1] => 0100111 => [1,1,2,3] => 145
[6,8,2,5,3,4,7,1] => 0101001 => [1,1,1,1,2,1] => 345
[7,2,5,6,4,8,1,3] => 1001010 => [1,2,1,1,1,1] => 345
[1,6,7,4,8,2,3,5] => 0010100 => [2,1,1,1,2] => 207
[7,1,3,5,8,2,6,4] => 1000101 => [1,3,1,1,1] => 219
[8,2,1,3,5,6,7,4] => 1100001 => [2,4,1] => 81
[6,3,1,4,7,5,8,2] => 1100101 => [2,2,1,1,1] => 255
[4,1,3,8,2,6,7,5] => 1001001 => [1,2,1,2,1] => 281
[2,8,3,6,7,5,4,1] => 0100111 => [1,1,2,3] => 145
[3,1,7,2,8,5,4,6] => 1010110 => [1,1,1,1,2,1] => 345
[3,6,1,4,7,2,8,5] => 0100101 => [1,1,2,1,1,1] => 359
[1,5,8,4,7,2,3,6] => 0010100 => [2,1,1,1,2] => 207
[7,1,3,6,2,8,4,5] => 1001010 => [1,2,1,1,1,1] => 345
[6,2,7,4,5,8,1,3] => 1010010 => [1,1,1,2,1,1] => 359
[2,1,8,4,5,7,3,6] => 1010010 => [1,1,1,2,1,1] => 359
[1,8,5,7,3,2,4,6] => 0101100 => [1,1,1,2,2] => 255
[2,1,8,5,4,3,6,7] => 1011100 => [1,1,3,2] => 171
[2,7,4,1,5,3,8,6] => 0110101 => [1,2,1,1,1,1] => 345
[7,4,8,6,2,3,1,5] => 1011010 => [1,1,2,1,1,1] => 359
[2,7,1,4,6,3,8,5] => 0100101 => [1,1,2,1,1,1] => 359
[4,7,5,6,8,1,3,2] => 0100101 => [1,1,2,1,1,1] => 359
[7,1,3,2,8,5,4,6] => 1010110 => [1,1,1,1,2,1] => 345
[2,8,5,4,1,3,6,7] => 0111000 => [1,3,3] => 95
[5,1,7,4,2,3,8,6] => 1011001 => [1,1,2,2,1] => 295
[3,8,6,5,1,4,2,7] => 0111010 => [1,3,1,1,1] => 219
[1,3,4,8,6,5,2,7] => 0001110 => [3,3,1] => 95
[4,1,8,6,5,3,2,7] => 1011110 => [1,1,4,1] => 107
[4,8,5,2,7,3,6,1] => 0110101 => [1,2,1,1,1,1] => 345
[7,2,8,5,3,6,4,1] => 1011011 => [1,1,2,1,2] => 252
[5,2,8,4,3,7,6,1] => 1011011 => [1,1,2,1,2] => 252
[8,4,7,5,2,3,6,1] => 1011001 => [1,1,2,2,1] => 295
[7,5,2,8,4,6,1,3] => 1101010 => [2,1,1,1,1,1] => 297
[5,7,4,3,6,2,8,1] => 0110101 => [1,2,1,1,1,1] => 345
[6,7,5,1,2,8,3,4] => 0110010 => [1,2,2,1,1] => 295
[5,2,6,8,3,4,7,1] => 1001001 => [1,2,1,2,1] => 281
[7,6,2,4,5,8,3,1] => 1100011 => [2,3,2] => 126
[3,6,8,4,7,2,5,1] => 0010101 => [2,1,1,1,1,1] => 297
[7,6,3,8,4,2,5,1] => 1101101 => [2,1,2,1,1] => 252
[2,6,3,8,4,7,5,1] => 0101011 => [1,1,1,1,1,2] => 297
[7,2,3,6,5,8,4,1] => 1001011 => [1,2,1,1,2] => 241
[6,2,7,5,8,3,1,4] => 1010110 => [1,1,1,1,2,1] => 345
[2,8,3,6,4,5,7,1] => 0101001 => [1,1,1,1,2,1] => 345
[2,1,5,6,8,3,7,4] => 1000101 => [1,3,1,1,1] => 219
[5,8,1,2,6,4,7,3] => 0100101 => [1,1,2,1,1,1] => 359
[1,6,8,3,2,7,4,5] => 0011010 => [2,2,1,1,1] => 255
[6,5,7,2,8,4,1,3] => 1010110 => [1,1,1,1,2,1] => 345
[7,5,1,2,8,4,6,3] => 1100101 => [2,2,1,1,1] => 255
[5,4,8,3,6,2,7,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,8,2,7,4,3,6,1] => 0101101 => [1,1,1,2,1,1] => 359
[6,4,5,8,2,7,3,1] => 1001011 => [1,2,1,1,2] => 241
[5,7,3,6,4,8,2,1] => 0101011 => [1,1,1,1,1,2] => 297
[1,5,6,4,8,2,7,3] => 0010101 => [2,1,1,1,1,1] => 297
[3,1,5,6,4,8,7,2] => 1001011 => [1,2,1,1,2] => 241
[1,3,6,2,5,7,8,4] => 0010001 => [2,1,3,1] => 157
[1,4,6,3,5,7,8,2] => 0010001 => [2,1,3,1] => 157
[3,5,1,6,4,7,8,2] => 0101001 => [1,1,1,1,2,1] => 345
[3,6,1,4,2,7,8,5] => 0101001 => [1,1,1,1,2,1] => 345
[2,4,6,3,1,7,8,5] => 0011001 => [2,2,2,1] => 211
[1,3,6,5,2,7,8,4] => 0011001 => [2,2,2,1] => 211
[1,2,6,4,3,8,5,7] => 0011010 => [2,2,1,1,1] => 255
[1,2,6,3,5,8,7,4] => 0010011 => [2,1,2,2] => 180
[2,3,5,1,8,4,7,6] => 0010101 => [2,1,1,1,1,1] => 297
[2,3,6,1,8,5,4,7] => 0010110 => [2,1,1,2,1] => 241
[1,2,7,4,6,8,3,5] => 0010010 => [2,1,2,1,1] => 252
[2,3,7,5,1,8,4,6] => 0011010 => [2,2,1,1,1] => 255
[4,7,2,5,3,8,6,1] => 0101011 => [1,1,1,1,1,2] => 297
[3,1,7,5,4,8,6,2] => 1011011 => [1,1,2,1,2] => 252
[1,2,7,6,4,8,5,3] => 0011011 => [2,2,1,2] => 180
[1,2,7,3,6,8,5,4] => 0010011 => [2,1,2,2] => 180
[2,3,6,1,8,5,7,4] => 0010101 => [2,1,1,1,1,1] => 297
[3,1,5,4,8,7,6,2] => 1010111 => [1,1,1,1,3] => 165
[1,2,5,8,4,7,3,6] => 0001010 => [3,1,1,1,1] => 165
[1,2,6,8,5,4,7,3] => 0001101 => [3,2,1,1] => 145
[1,3,6,8,5,2,7,4] => 0001101 => [3,2,1,1] => 145
[3,5,7,4,8,2,1,6] => 0010110 => [2,1,1,2,1] => 241
[2,4,7,6,8,3,1,5] => 0010110 => [2,1,1,2,1] => 241
[1,4,6,8,3,5,2,7] => 0001010 => [3,1,1,1,1] => 165
[1,3,6,8,5,2,4,7] => 0001100 => [3,2,2] => 105
[1,2,6,8,5,4,3,7] => 0001110 => [3,3,1] => 95
[1,2,5,8,4,3,7,6] => 0001101 => [3,2,1,1] => 145
[1,3,5,8,2,4,7,6] => 0001001 => [3,1,2,1] => 137
[1,3,6,8,2,5,4,7] => 0001010 => [3,1,1,1,1] => 165
[1,4,6,8,3,2,5,7] => 0001100 => [3,2,2] => 105
[3,5,7,4,8,1,2,6] => 0010100 => [2,1,1,1,2] => 207
[4,6,1,7,5,8,2,3] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,3,6,7,5,8,1,4] => 0001010 => [3,1,1,1,1] => 165
[1,3,7,5,6,8,2,4] => 0010010 => [2,1,2,1,1] => 252
[2,3,6,5,8,1,7,4] => 0010101 => [2,1,1,1,1,1] => 297
[3,4,6,2,8,1,7,5] => 0010101 => [2,1,1,1,1,1] => 297
[3,5,4,6,8,2,1,7] => 0100110 => [1,1,2,2,1] => 295
[3,5,4,6,8,1,2,7] => 0100100 => [1,1,2,1,2] => 252
[1,2,4,7,5,8,3,6] => 0001010 => [3,1,1,1,1] => 165
[1,2,6,7,4,8,3,5] => 0001010 => [3,1,1,1,1] => 165
[3,6,4,7,1,8,5,2] => 0101011 => [1,1,1,1,1,2] => 297
[1,2,6,7,3,8,5,4] => 0001011 => [3,1,1,2] => 117
[1,2,5,7,3,8,6,4] => 0001011 => [3,1,1,2] => 117
[3,1,5,7,6,8,4,2] => 1001011 => [1,2,1,1,2] => 241
[3,5,4,6,8,2,7,1] => 0100101 => [1,1,2,1,1,1] => 359
[4,2,6,1,8,7,5,3] => 1010111 => [1,1,1,1,3] => 165
[3,1,6,5,8,7,4,2] => 1010111 => [1,1,1,1,3] => 165
[2,3,6,5,8,7,1,4] => 0010110 => [2,1,1,2,1] => 241
[1,2,7,4,6,8,5,3] => 0010011 => [2,1,2,2] => 180
[1,2,7,5,6,8,4,3] => 0010011 => [2,1,2,2] => 180
[3,1,6,7,5,8,4,2] => 1001011 => [1,2,1,1,2] => 241
[4,6,2,7,5,8,3,1] => 0101011 => [1,1,1,1,1,2] => 297
[3,5,7,4,8,2,6,1] => 0010101 => [2,1,1,1,1,1] => 297
[2,4,7,6,8,3,5,1] => 0010101 => [2,1,1,1,1,1] => 297
[1,4,6,8,3,5,7,2] => 0001001 => [3,1,2,1] => 137
[1,3,6,8,2,5,7,4] => 0001001 => [3,1,2,1] => 137
[1,3,5,8,2,7,4,6] => 0001010 => [3,1,1,1,1] => 165
[1,2,5,8,4,7,6,3] => 0001011 => [3,1,1,2] => 117
[1,2,4,8,7,3,6,5] => 0001101 => [3,2,1,1] => 145
[1,2,5,8,7,4,3,6] => 0001110 => [3,3,1] => 95
[1,3,5,8,7,2,4,6] => 0001100 => [3,2,2] => 105
[2,3,7,6,8,5,1,4] => 0010110 => [2,1,1,2,1] => 241
[5,7,1,2,8,6,4,3] => 0100111 => [1,1,2,3] => 145
[3,1,7,6,8,5,4,2] => 1010111 => [1,1,1,1,3] => 165
[1,2,6,8,5,7,4,3] => 0001011 => [3,1,1,2] => 117
[1,2,5,8,7,4,6,3] => 0001101 => [3,2,1,1] => 145
[1,2,4,8,7,6,3,5] => 0001110 => [3,3,1] => 95
[6,4,5,7,2,8,1,3] => 1001010 => [1,2,1,1,1,1] => 345
[5,3,4,7,2,8,1,6] => 1001010 => [1,2,1,1,1,1] => 345
[3,2,7,4,6,8,1,5] => 1010010 => [1,1,1,2,1,1] => 359
[5,3,6,2,7,1,4,8] => 1010100 => [1,1,1,1,1,2] => 297
[2,6,3,4,7,1,5,8] => 0100100 => [1,1,2,1,2] => 252
[2,7,3,4,5,8,1,6] => 0100010 => [1,1,3,1,1] => 233
[3,7,4,5,6,8,1,2] => 0100010 => [1,1,3,1,1] => 233
[2,5,7,3,6,8,1,4] => 0010010 => [2,1,2,1,1] => 252
[4,7,6,2,3,8,1,5] => 0110010 => [1,2,2,1,1] => 295
[7,3,5,2,4,8,1,6] => 1010010 => [1,1,1,2,1,1] => 359
[7,6,2,4,5,8,1,3] => 1100010 => [2,3,1,1] => 171
[6,5,2,3,4,8,1,7] => 1100010 => [2,3,1,1] => 171
[5,3,1,2,8,4,7,6] => 1100101 => [2,2,1,1,1] => 255
[6,5,2,3,7,1,4,8] => 1100100 => [2,2,1,2] => 180
[5,2,1,7,3,4,6,8] => 1101000 => [2,1,1,3] => 117
[5,2,1,8,3,4,6,7] => 1101000 => [2,1,1,3] => 117
[6,3,2,8,4,5,7,1] => 1101001 => [2,1,1,2,1] => 241
[7,3,1,2,8,4,6,5] => 1100101 => [2,2,1,1,1] => 255
[6,4,1,3,8,5,7,2] => 1100101 => [2,2,1,1,1] => 255
[6,2,3,1,8,4,7,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,3,5,2,7,1,4,6] => 1010100 => [1,1,1,1,1,2] => 297
[8,6,2,4,7,1,5,3] => 1100101 => [2,2,1,1,1] => 255
[8,5,2,3,6,1,4,7] => 1100100 => [2,2,1,2] => 180
[8,2,1,7,3,4,5,6] => 1101000 => [2,1,1,3] => 117
[8,6,3,7,2,4,5,1] => 1101001 => [2,1,1,2,1] => 241
[7,1,6,2,3,4,5,8] => 1010000 => [1,1,1,4] => 75
[8,2,7,3,4,5,6,1] => 1010001 => [1,1,1,3,1] => 219
[8,1,6,2,3,4,5,7] => 1010000 => [1,1,1,4] => 75
[8,1,7,3,4,5,6,2] => 1010001 => [1,1,1,3,1] => 219
[8,6,1,7,2,4,5,3] => 1101001 => [2,1,1,2,1] => 241
[8,1,5,7,2,3,6,4] => 1001001 => [1,2,1,2,1] => 281
[1,7,5,8,2,3,6,4] => 0101001 => [1,1,1,1,2,1] => 345
[7,2,1,8,3,4,5,6] => 1101000 => [2,1,1,3] => 117
[7,3,8,2,4,5,6,1] => 1010001 => [1,1,1,3,1] => 219
[7,2,8,3,4,5,6,1] => 1010001 => [1,1,1,3,1] => 219
[1,7,8,3,4,5,6,2] => 0010001 => [2,1,3,1] => 157
[1,4,5,8,3,6,7,2] => 0001001 => [3,1,2,1] => 137
[2,5,7,1,8,3,6,4] => 0010101 => [2,1,1,1,1,1] => 297
[6,2,7,1,8,4,5,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,7,1,3,8,5,6,2] => 0100101 => [1,1,2,1,1,1] => 359
[1,6,2,8,4,5,7,3] => 0101001 => [1,1,1,1,2,1] => 345
[4,1,3,6,8,2,7,5] => 1000101 => [1,3,1,1,1] => 219
[5,3,4,6,8,2,7,1] => 1000101 => [1,3,1,1,1] => 219
[4,6,3,8,7,1,2,5] => 0101100 => [1,1,1,2,2] => 255
[6,4,5,8,7,1,2,3] => 1001100 => [1,2,2,2] => 211
[5,3,4,8,7,1,2,6] => 1001100 => [1,2,2,2] => 211
[3,2,8,7,1,4,6,5] => 1011001 => [1,1,2,2,1] => 295
[3,1,8,7,2,4,6,5] => 1011001 => [1,1,2,2,1] => 295
[5,3,7,6,1,2,4,8] => 1011000 => [1,1,2,3] => 145
[1,8,3,7,2,4,5,6] => 0101000 => [1,1,1,1,3] => 165
[3,8,1,7,2,4,5,6] => 0101000 => [1,1,1,1,3] => 165
[6,8,2,3,5,1,4,7] => 0100100 => [1,1,2,1,2] => 252
[4,7,8,2,6,1,3,5] => 0010100 => [2,1,1,1,2] => 207
[6,2,8,7,1,4,5,3] => 1011001 => [1,1,2,2,1] => 295
[3,8,7,1,4,5,6,2] => 0110001 => [1,2,3,1] => 185
[2,8,6,1,3,4,5,7] => 0110000 => [1,2,4] => 65
[2,7,6,1,3,4,5,8] => 0110000 => [1,2,4] => 65
[1,7,6,2,3,4,5,8] => 0110000 => [1,2,4] => 65
[1,8,6,2,3,4,5,7] => 0110000 => [1,2,4] => 65
[2,8,7,3,4,5,6,1] => 0110001 => [1,2,3,1] => 185
[3,8,7,2,4,5,6,1] => 0110001 => [1,2,3,1] => 185
[7,8,3,6,2,4,5,1] => 0101001 => [1,1,1,1,2,1] => 345
[1,5,8,7,2,3,6,4] => 0011001 => [2,2,2,1] => 211
[8,7,6,1,3,4,5,2] => 1110001 => [3,3,1] => 95
[3,6,2,4,7,1,8,5] => 0100101 => [1,1,2,1,1,1] => 359
[3,4,7,2,5,1,8,6] => 0010101 => [2,1,1,1,1,1] => 297
[2,1,6,4,8,5,3,7] => 1010110 => [1,1,1,1,2,1] => 345
[4,1,8,5,3,2,7,6] => 1011101 => [1,1,3,1,1] => 233
[3,6,2,5,7,1,4,8] => 0100100 => [1,1,2,1,2] => 252
[1,2,8,3,7,5,4,6] => 0010110 => [2,1,1,2,1] => 241
[6,1,3,2,8,5,4,7] => 1010110 => [1,1,1,1,2,1] => 345
[5,6,1,2,8,4,3,7] => 0100110 => [1,1,2,2,1] => 295
[1,6,3,8,7,4,2,5] => 0101110 => [1,1,1,3,1] => 219
[4,3,8,1,2,6,7,5] => 1010001 => [1,1,1,3,1] => 219
[7,8,10,9,5,6,3,4,1,2] => 001101010 => [2,2,1,1,1,1,1] => 3036
[9,10,5,6,8,7,3,4,1,2] => 010011010 => [1,1,2,2,1,1,1] => 3754
[5,8,10,6,9,7,3,4,1,2] => 001011010 => [2,1,1,2,1,1,1] => 3040
[5,6,7,10,9,8,3,4,1,2] => 000111010 => [3,3,1,1,1] => 1414
[9,10,7,8,3,4,6,5,1,2] => 010100110 => [1,1,1,1,2,2,1] => 3584
[7,8,10,9,3,4,6,5,1,2] => 001100110 => [2,2,2,2,1] => 2306
[9,10,3,6,8,4,7,5,1,2] => 010010110 => [1,1,2,1,1,2,1] => 3484
[3,8,10,6,9,4,7,5,1,2] => 001010110 => [2,1,1,1,1,2,1] => 2838
[3,6,7,10,9,4,8,5,1,2] => 000110110 => [3,2,1,2,1] => 1544
[9,10,3,4,5,8,7,6,1,2] => 010001110 => [1,1,3,3,1] => 1849
[3,8,10,4,5,9,7,6,1,2] => 001001110 => [2,1,2,3,1] => 1794
[3,4,7,10,5,9,8,6,1,2] => 000101110 => [3,1,1,3,1] => 1177
[3,4,5,6,10,9,8,7,1,2] => 000011110 => [4,4,1] => 406
[9,10,7,8,5,6,1,2,4,3] => 010101001 => [1,1,1,1,1,1,2,1] => 4004
[7,8,10,9,5,6,1,2,4,3] => 001101001 => [2,2,1,1,2,1] => 2526
[9,10,5,6,8,7,1,2,4,3] => 010011001 => [1,1,2,2,2,1] => 3164
[5,8,10,6,9,7,1,2,4,3] => 001011001 => [2,1,1,2,2,1] => 2558
[5,6,7,10,9,8,1,2,4,3] => 000111001 => [3,3,2,1] => 1224
[9,10,7,8,1,4,6,2,5,3] => 010100101 => [1,1,1,1,2,1,1,1] => 4274
[7,8,10,9,1,4,6,2,5,3] => 001100101 => [2,2,2,1,1,1] => 2728
[9,10,1,6,8,4,7,2,5,3] => 010010101 => [1,1,2,1,1,1,1,1] => 4202
[1,8,10,6,9,4,7,2,5,3] => 001010101 => [2,1,1,1,1,1,1,1] => 3432
[1,6,7,10,9,4,8,2,5,3] => 000110101 => [3,2,1,1,1,1] => 1834
[9,10,1,4,5,8,7,2,6,3] => 010001101 => [1,1,3,2,1,1] => 2704
[1,8,10,4,5,9,7,2,6,3] => 001001101 => [2,1,2,2,1,1] => 2694
[1,4,7,10,5,9,8,2,6,3] => 000101101 => [3,1,1,2,1,1] => 1762
[1,4,5,6,10,9,8,2,7,3] => 000011101 => [4,3,1,1] => 721
[9,10,7,8,1,2,3,6,5,4] => 010100011 => [1,1,1,1,3,2] => 2244
[7,8,10,9,1,2,3,6,5,4] => 001100011 => [2,2,3,2] => 1486
[9,10,1,6,8,2,3,7,5,4] => 010010011 => [1,1,2,1,2,2] => 2661
[1,8,10,6,9,2,3,7,5,4] => 001010011 => [2,1,1,1,2,2] => 2161
[1,6,7,10,9,2,3,8,5,4] => 000110011 => [3,2,2,2] => 1198
[9,10,1,2,5,8,3,7,6,4] => 010001011 => [1,1,3,1,1,2] => 2172
[1,8,10,2,5,9,3,7,6,4] => 001001011 => [2,1,2,1,1,2] => 2179
[1,2,7,10,5,9,3,8,6,4] => 000101011 => [3,1,1,1,1,2] => 1430
[1,2,5,6,10,9,3,8,7,4] => 000011011 => [4,2,1,2] => 681
[9,10,1,2,3,4,8,7,6,5] => 010000111 => [1,1,4,3] => 854
[1,8,10,2,3,4,9,7,6,5] => 001000111 => [2,1,3,3] => 1038
[1,2,7,10,3,4,9,8,6,5] => 000100111 => [3,1,2,3] => 802
[1,2,3,6,10,4,9,8,7,5] => 000010111 => [4,1,1,3] => 451
[1,2,3,4,5,10,9,8,7,6] => 000001111 => [5,4] => 126
[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] => 35
[2,3,5,1,4,6,7,8,9] => 00100000 => [2,1,5] => 83
[2,3,4,6,1,5,7,8,9] => 00010000 => [3,1,4] => 125
[2,3,4,5,7,1,6,8,9] => 00001000 => [4,1,3] => 125
[2,3,4,5,6,8,1,7,9] => 00000100 => [5,1,2] => 83
[3,6,8,7,1,2,5,4] => 0011001 => [2,2,2,1] => 211
[6,2,8,5,4,7,1,3] => 1011010 => [1,1,2,1,1,1] => 359
[6,5,7,2,4,8,1,3] => 1010010 => [1,1,1,2,1,1] => 359
[3,4,1,6,5,8,7,2] => 0101011 => [1,1,1,1,1,2] => 297
[3,5,1,2,4,8,7,6] => 0100011 => [1,1,3,2] => 171
[3,7,5,2,1,4,6,8] => 0111000 => [1,3,3] => 95
[3,8,5,2,7,4,1,6] => 0110110 => [1,2,1,2,1] => 281
[5,2,8,4,7,3,1,6] => 1010110 => [1,1,1,1,2,1] => 345
[5,2,7,4,1,3,6,8] => 1011000 => [1,1,2,3] => 145
[4,3,5,1,2,8,7,6] => 1010011 => [1,1,1,2,2] => 255
[3,1,4,6,2,8,7,5] => 1001011 => [1,2,1,1,2] => 241
[1,4,6,5,2,8,7,3] => 0011011 => [2,2,1,2] => 180
[3,4,5,6,1,8,7,2] => 0001011 => [3,1,1,2] => 117
[3,4,5,8,7,2,1,6] => 0001110 => [3,3,1] => 95
[1,4,7,2,6,3,5,8] => 0010100 => [2,1,1,1,2] => 207
[8,4,7,5,2,1,6,3] => 1011101 => [1,1,3,1,1] => 233
[8,1,4,7,2,3,6,5] => 1001001 => [1,2,1,2,1] => 281
[1,8,5,7,3,4,6,2] => 0101001 => [1,1,1,1,2,1] => 345
[6,3,5,1,7,4,2,8] => 1010110 => [1,1,1,1,2,1] => 345
[6,1,4,8,7,3,2,5] => 1001110 => [1,2,3,1] => 185
[6,4,8,5,7,1,2,3] => 1010100 => [1,1,1,1,1,2] => 297
[5,4,8,1,6,3,2,7] => 1010110 => [1,1,1,1,2,1] => 345
[1,4,8,6,3,7,2,5] => 0011010 => [2,2,1,1,1] => 255
[5,4,7,6,3,8,1,2] => 1011010 => [1,1,2,1,1,1] => 359
[4,6,3,7,5,8,1,2] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,1,3,5,8,6,2,7] => 1000110 => [1,3,2,1] => 185
[5,7,4,3,8,1,2,6] => 0110100 => [1,2,1,1,2] => 241
[1,4,8,3,7,6,5,2] => 0010111 => [2,1,1,3] => 117
[4,3,8,2,1,6,5,7] => 1011010 => [1,1,2,1,1,1] => 359
[3,8,4,2,7,1,5,6] => 0110100 => [1,2,1,1,2] => 241
[3,1,2,5,7,6,4,8] => 1000110 => [1,3,2,1] => 185
[1,8,2,7,6,5,4,3] => 0101111 => [1,1,1,4] => 75
[3,8,1,6,7,5,4,2] => 0100111 => [1,1,2,3] => 145
[3,7,2,6,8,5,1,4] => 0100110 => [1,1,2,2,1] => 295
[7,2,3,8,5,6,1,4] => 1001010 => [1,2,1,1,1,1] => 345
[8,2,1,7,5,6,4,3] => 1101011 => [2,1,1,1,2] => 207
[8,1,3,6,5,7,4,2] => 1001011 => [1,2,1,1,2] => 241
[8,2,4,3,6,1,5,7] => 1010100 => [1,1,1,1,1,2] => 297
[1,7,8,5,4,3,6,2] => 0011101 => [2,3,1,1] => 171
[1,8,4,5,3,2,6,7] => 0101100 => [1,1,1,2,2] => 255
[7,8,5,4,3,1,6,2] => 0111101 => [1,4,1,1] => 107
[7,1,6,3,4,2,5,8] => 1010100 => [1,1,1,1,1,2] => 297
[6,8,7,1,4,2,5,3] => 0110101 => [1,2,1,1,1,1] => 345
[3,6,1,4,2,7,5,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,4,1,8,5,7,6,2] => 0101011 => [1,1,1,1,1,2] => 297
[3,6,5,1,2,8,4,7] => 0110010 => [1,2,2,1,1] => 295
[3,8,5,6,7,2,1,4] => 0100110 => [1,1,2,2,1] => 295
[8,1,7,6,2,4,3,5] => 1011010 => [1,1,2,1,1,1] => 359
[8,5,6,1,4,2,3,7] => 1010100 => [1,1,1,1,1,2] => 297
[8,6,5,4,7,1,3,2] => 1110101 => [3,1,1,1,1] => 165
[1,6,4,5,7,2,3,8] => 0100100 => [1,1,2,1,2] => 252
[8,3,6,1,7,2,4,5] => 1010100 => [1,1,1,1,1,2] => 297
[1,8,6,5,7,3,4,2] => 0110101 => [1,2,1,1,1,1] => 345
[1,7,5,3,6,8,4,2] => 0110011 => [1,2,2,2] => 211
[7,4,1,6,5,8,3,2] => 1101011 => [2,1,1,1,2] => 207
[4,1,5,8,7,6,3,2] => 1001111 => [1,2,4] => 65
[1,2,5,8,6,7,3,4] => 0001010 => [3,1,1,1,1] => 165
[4,2,1,5,8,7,3,6] => 1100110 => [2,2,2,1] => 211
[5,2,4,6,1,7,3,8] => 1001010 => [1,2,1,1,1,1] => 345
[1,5,3,6,8,7,4,2] => 0100111 => [1,1,2,3] => 145
[3,5,4,6,1,8,2,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,1,5,7,6,8,2,4] => 1001010 => [1,2,1,1,1,1] => 345
[1,4,5,6,8,7,2,3] => 0000110 => [4,2,1] => 65
[1,4,6,3,7,2,8,5] => 0010101 => [2,1,1,1,1,1] => 297
[1,7,3,6,5,2,8,4] => 0101101 => [1,1,1,2,1,1] => 359
[8,6,2,5,4,1,7,3] => 1101101 => [2,1,2,1,1] => 252
[3,7,2,6,5,4,1,8] => 0101110 => [1,1,1,3,1] => 219
[7,6,2,5,4,3,1,8] => 1101110 => [2,1,3,1] => 157
[4,7,5,2,6,3,1,8] => 0110110 => [1,2,1,2,1] => 281
[3,2,6,4,7,5,1,8] => 1010110 => [1,1,1,1,2,1] => 345
[6,2,3,7,5,4,1,8] => 1001110 => [1,2,3,1] => 185
[1,3,4,7,6,2,8,5] => 0001101 => [3,2,1,1] => 145
[2,8,3,6,1,7,5,4] => 0101011 => [1,1,1,1,1,2] => 297
[8,7,2,5,1,6,4,3] => 1101011 => [2,1,1,1,2] => 207
[3,8,2,6,5,1,7,4] => 0101101 => [1,1,1,2,1,1] => 359
[7,8,2,5,4,1,6,3] => 0101101 => [1,1,1,2,1,1] => 359
[4,8,5,2,6,1,7,3] => 0110101 => [1,2,1,1,1,1] => 345
[4,5,1,3,7,2,8,6] => 0100101 => [1,1,2,1,1,1] => 359
[6,1,3,7,5,2,8,4] => 1001101 => [1,2,2,1,1] => 295
[7,1,3,6,2,8,5,4] => 1001011 => [1,2,1,1,2] => 241
[8,1,3,6,2,7,5,4] => 1001011 => [1,2,1,1,2] => 241
[1,2,4,7,3,8,6,5] => 0001011 => [3,1,1,2] => 117
[7,1,8,2,6,5,4,3] => 1010111 => [1,1,1,1,3] => 165
[3,1,8,6,2,7,5,4] => 1011011 => [1,1,2,1,2] => 252
[4,1,7,8,2,6,5,3] => 1001011 => [1,2,1,1,2] => 241
[5,6,1,8,2,7,4,3] => 0101011 => [1,1,1,1,1,2] => 297
[4,2,7,8,1,6,5,3] => 1001011 => [1,2,1,1,2] => 241
[3,2,8,6,1,7,5,4] => 1011011 => [1,1,2,1,2] => 252
[7,2,8,1,6,5,4,3] => 1010111 => [1,1,1,1,3] => 165
[1,8,7,2,6,5,4,3] => 0110111 => [1,2,1,3] => 137
[2,8,7,1,6,5,4,3] => 0110111 => [1,2,1,3] => 137
[3,8,7,1,6,5,4,2] => 0110111 => [1,2,1,3] => 137
[4,8,7,5,1,6,3,2] => 0111011 => [1,3,1,2] => 157
[6,7,8,5,1,4,3,2] => 0011011 => [2,2,1,2] => 180
[5,6,3,8,4,1,7,2] => 0101101 => [1,1,1,2,1,1] => 359
[7,3,8,5,4,1,6,2] => 1011101 => [1,1,3,1,1] => 233
[3,4,8,6,5,1,7,2] => 0011101 => [2,3,1,1] => 171
[8,3,7,5,1,6,4,2] => 1011011 => [1,1,2,1,2] => 252
[1,4,8,6,2,7,5,3] => 0011011 => [2,2,1,2] => 180
[8,4,6,7,1,5,3,2] => 1001011 => [1,2,1,1,2] => 241
[5,6,4,7,8,1,3,2] => 0100101 => [1,1,2,1,1,1] => 359
[3,4,6,5,1,2,8,7] => 0011001 => [2,2,2,1] => 211
[7,3,5,1,2,8,6,4] => 1010011 => [1,1,1,2,2] => 255
[1,4,6,2,3,8,7,5] => 0010011 => [2,1,2,2] => 180
[1,3,2,7,4,8,6,5] => 0101011 => [1,1,1,1,1,2] => 297
[7,2,1,6,3,8,5,4] => 1101011 => [2,1,1,1,2] => 207
[2,3,1,7,6,4,8,5] => 0101101 => [1,1,1,2,1,1] => 359
[4,5,2,1,7,3,8,6] => 0110101 => [1,2,1,1,1,1] => 345
[5,6,7,1,2,8,4,3] => 0010011 => [2,1,2,2] => 180
[4,7,5,1,2,8,6,3] => 0110011 => [1,2,2,2] => 211
[3,7,1,6,2,8,5,4] => 0101011 => [1,1,1,1,1,2] => 297
[7,6,1,2,8,5,4,3] => 1100111 => [2,2,3] => 105
[2,7,1,3,8,6,5,4] => 0100111 => [1,1,2,3] => 145
[8,6,1,2,7,5,4,3] => 1100111 => [2,2,3] => 105
[1,7,2,3,8,6,5,4] => 0100111 => [1,1,2,3] => 145
[8,7,1,2,6,5,4,3] => 1100111 => [2,2,3] => 105
[7,8,1,2,6,5,4,3] => 0100111 => [1,1,2,3] => 145
[3,8,1,6,2,7,5,4] => 0101011 => [1,1,1,1,1,2] => 297
[4,8,5,1,2,7,6,3] => 0110011 => [1,2,2,2] => 211
[5,6,8,1,2,7,4,3] => 0010011 => [2,1,2,2] => 180
[2,1,3,7,4,8,6,5] => 1001011 => [1,2,1,1,2] => 241
[4,2,7,3,6,8,1,5] => 1010010 => [1,1,1,2,1,1] => 359
[5,3,6,4,2,8,1,7] => 1011010 => [1,1,2,1,1,1] => 359
[4,1,5,3,8,2,7,6] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,2,6,4,7,3,1,8] => 1010110 => [1,1,1,1,2,1] => 345
[2,6,3,4,7,5,1,8] => 0100110 => [1,1,2,2,1] => 295
[2,6,3,5,4,8,1,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,7,4,3,5,8,1,6] => 0110010 => [1,2,2,1,1] => 295
[7,3,6,4,2,8,1,5] => 1011010 => [1,1,2,1,1,1] => 359
[7,6,4,5,2,8,1,3] => 1101010 => [2,1,1,1,1,1] => 297
[5,4,3,1,8,2,7,6] => 1110101 => [3,1,1,1,1] => 165
[6,5,4,2,7,3,1,8] => 1110110 => [3,1,2,1] => 137
[5,4,1,7,2,6,3,8] => 1101010 => [2,1,1,1,1,1] => 297
[5,4,1,8,3,2,6,7] => 1101100 => [2,1,2,2] => 180
[6,5,2,8,3,4,7,1] => 1101001 => [2,1,1,2,1] => 241
[7,4,2,1,8,3,6,5] => 1110101 => [3,1,1,1,1] => 165
[6,5,3,4,8,2,7,1] => 1100101 => [2,2,1,1,1] => 255
[6,1,5,3,8,2,7,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,6,3,1,8,2,7,5] => 0110101 => [1,2,1,1,1,1] => 345
[5,8,4,2,7,3,1,6] => 0110110 => [1,2,1,2,1] => 281
[8,2,6,4,7,3,1,5] => 1010110 => [1,1,1,1,2,1] => 345
[8,6,2,5,7,4,1,3] => 1100110 => [2,2,2,1] => 211
[8,5,3,2,6,4,1,7] => 1110110 => [3,1,2,1] => 137
[8,3,1,7,2,5,4,6] => 1101010 => [2,1,1,1,1,1] => 297
[7,5,2,6,4,3,1,8] => 1101110 => [2,1,3,1] => 157
[7,1,6,2,5,4,3,8] => 1010110 => [1,1,1,1,2,1] => 345
[8,1,7,3,5,6,4,2] => 1010011 => [1,1,1,2,2] => 255
[8,6,1,7,4,5,2,3] => 1101010 => [2,1,1,1,1,1] => 297
[8,1,3,7,2,6,5,4] => 1001011 => [1,2,1,1,2] => 241
[1,7,6,8,3,2,4,5] => 0101100 => [1,1,1,2,2] => 255
[7,1,5,8,4,2,6,3] => 1001101 => [1,2,2,1,1] => 295
[7,3,8,4,5,2,6,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,2,8,5,3,4,6,1] => 1011001 => [1,1,2,2,1] => 295
[6,1,8,4,3,2,5,7] => 1011100 => [1,1,3,2] => 171
[6,1,7,4,2,5,3,8] => 1011010 => [1,1,2,1,1,1] => 359
[1,2,7,3,4,6,5,8] => 0010010 => [2,1,2,1,1] => 252
[1,7,8,4,3,5,6,2] => 0011001 => [2,2,2,1] => 211
[1,6,2,8,3,5,7,4] => 0101001 => [1,1,1,1,2,1] => 345
[2,6,1,7,3,5,4,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,1,5,8,4,2,6,7] => 1001100 => [1,2,2,2] => 211
[4,3,1,6,8,2,7,5] => 1100101 => [2,2,1,1,1] => 255
[5,7,4,8,3,2,1,6] => 0101110 => [1,1,1,3,1] => 219
[5,4,8,2,7,3,1,6] => 1010110 => [1,1,1,1,2,1] => 345
[5,2,8,7,3,4,1,6] => 1011010 => [1,1,2,1,1,1] => 359
[6,4,7,5,3,2,1,8] => 1011110 => [1,1,4,1] => 107
[1,8,3,7,6,2,4,5] => 0101100 => [1,1,1,2,2] => 255
[5,8,3,2,6,4,1,7] => 0110110 => [1,2,1,2,1] => 281
[6,8,2,4,7,5,1,3] => 0100110 => [1,1,2,2,1] => 295
[7,3,8,2,6,4,1,5] => 1010110 => [1,1,1,1,2,1] => 345
[4,6,8,2,7,3,1,5] => 0010110 => [2,1,1,2,1] => 241
[2,6,8,7,3,4,1,5] => 0011010 => [2,2,1,1,1] => 255
[7,2,8,6,3,5,1,4] => 1011010 => [1,1,2,1,1,1] => 359
[6,8,1,7,2,5,4,3] => 0101011 => [1,1,1,1,1,2] => 297
[3,8,7,4,5,6,1,2] => 0110010 => [1,2,2,1,1] => 295
[2,8,6,4,3,5,1,7] => 0111010 => [1,3,1,1,1] => 219
[2,7,6,3,5,4,1,8] => 0110110 => [1,2,1,2,1] => 281
[1,7,6,5,2,4,3,8] => 0111010 => [1,3,1,1,1] => 219
[1,8,6,5,3,2,4,7] => 0111100 => [1,4,2] => 81
[3,8,7,4,6,2,5,1] => 0110101 => [1,2,1,1,1,1] => 345
[5,8,3,7,6,2,4,1] => 0101101 => [1,1,1,2,1,1] => 359
[7,1,8,6,5,2,3,4] => 1011100 => [1,1,3,2] => 171
[8,4,7,5,3,2,1,6] => 1011110 => [1,1,4,1] => 107
[8,7,2,5,4,3,1,6] => 1101110 => [2,1,3,1] => 157
[6,8,3,2,5,4,7,1] => 0110101 => [1,2,1,1,1,1] => 345
[6,8,4,5,2,3,7,1] => 0101001 => [1,1,1,1,2,1] => 345
[1,5,7,8,4,3,6,2] => 0001101 => [3,2,1,1] => 145
[6,3,8,1,5,4,7,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,2,1,8,5,4,7,3] => 1101101 => [2,1,2,1,1] => 252
[2,6,3,1,7,5,4,8] => 0110110 => [1,2,1,2,1] => 281
[2,6,5,7,4,1,3,8] => 0101100 => [1,1,1,2,2] => 255
[2,5,6,8,4,3,7,1] => 0001101 => [3,2,1,1] => 145
[2,4,7,5,8,1,6,3] => 0010101 => [2,1,1,1,1,1] => 297
[2,5,4,7,1,8,6,3] => 0101011 => [1,1,1,1,1,2] => 297
[5,2,1,8,7,6,4,3] => 1101111 => [2,1,4] => 55
[4,8,5,7,6,1,3,2] => 0101101 => [1,1,1,2,1,1] => 359
[4,8,6,7,5,3,1,2] => 0101110 => [1,1,1,3,1] => 219
[4,8,7,5,6,2,3,1] => 0110101 => [1,2,1,1,1,1] => 345
[6,5,4,8,2,1,7,3] => 1101101 => [2,1,2,1,1] => 252
[5,8,4,7,2,6,3,1] => 0101011 => [1,1,1,1,1,2] => 297
[1,5,7,4,8,2,6,3] => 0010101 => [2,1,1,1,1,1] => 297
[1,5,7,3,2,8,6,4] => 0011011 => [2,2,1,2] => 180
[5,8,3,2,7,6,4,1] => 0110111 => [1,2,1,3] => 137
[5,2,1,4,3,6,7,8] => 1101000 => [2,1,1,3] => 117
[3,5,7,4,2,6,1,8] => 0011010 => [2,2,1,1,1] => 255
[3,6,4,5,1,2,7,8] => 0101000 => [1,1,1,1,3] => 165
[4,2,1,6,5,3,7,8] => 1101100 => [2,1,2,2] => 180
[4,2,1,5,7,6,3,8] => 1100110 => [2,2,2,1] => 211
[4,3,5,1,7,6,2,8] => 1010110 => [1,1,1,1,2,1] => 345
[3,5,4,7,1,6,2,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,4,7,5,6,1,2,8] => 0010100 => [2,1,1,1,2] => 207
[3,4,5,8,6,7,1,2] => 0001010 => [3,1,1,1,1] => 165
[3,5,4,6,1,8,7,2] => 0101011 => [1,1,1,1,1,2] => 297
[4,3,5,1,6,8,7,2] => 1010011 => [1,1,1,2,2] => 255
[4,2,1,5,6,8,7,3] => 1100011 => [2,3,2] => 126
[4,3,2,1,7,6,5,9,8,10] => 111011010 => [3,1,2,1,1,1] => 1806
[7,3,2,1,6,5,4,9,8,10] => 111011010 => [3,1,2,1,1,1] => 1806
[4,3,2,1,9,6,5,8,7,10] => 111011010 => [3,1,2,1,1,1] => 1806
[6,3,2,1,9,5,4,8,7,10] => 111011010 => [3,1,2,1,1,1] => 1806
[9,3,2,1,8,5,4,7,6,10] => 111011010 => [3,1,2,1,1,1] => 1806
[6,5,2,1,9,4,3,8,7,10] => 111011010 => [3,1,2,1,1,1] => 1806
[9,5,2,1,8,4,3,7,6,10] => 111011010 => [3,1,2,1,1,1] => 1806
[4,3,2,1,7,6,5,10,8,9] => 111011010 => [3,1,2,1,1,1] => 1806
[7,3,2,1,6,5,4,10,8,9] => 111011010 => [3,1,2,1,1,1] => 1806
[4,3,2,1,8,6,5,10,7,9] => 111011010 => [3,1,2,1,1,1] => 1806
[6,3,2,1,8,5,4,10,7,9] => 111011010 => [3,1,2,1,1,1] => 1806
[8,3,2,1,7,5,4,10,6,9] => 111011010 => [3,1,2,1,1,1] => 1806
[6,5,2,1,8,4,3,10,7,9] => 111011010 => [3,1,2,1,1,1] => 1806
[8,5,2,1,7,4,3,10,6,9] => 111011010 => [3,1,2,1,1,1] => 1806
[4,3,2,1,10,6,5,9,7,8] => 111011010 => [3,1,2,1,1,1] => 1806
[6,3,2,1,10,5,4,9,7,8] => 111011010 => [3,1,2,1,1,1] => 1806
[7,3,2,1,10,5,4,9,6,8] => 111011010 => [3,1,2,1,1,1] => 1806
[10,3,2,1,9,5,4,8,6,7] => 111011010 => [3,1,2,1,1,1] => 1806
[6,5,2,1,10,4,3,9,7,8] => 111011010 => [3,1,2,1,1,1] => 1806
[7,5,2,1,10,4,3,9,6,8] => 111011010 => [3,1,2,1,1,1] => 1806
[10,5,2,1,9,4,3,8,6,7] => 111011010 => [3,1,2,1,1,1] => 1806
[4,3,2,1,8,7,5,10,6,9] => 111011010 => [3,1,2,1,1,1] => 1806
[5,3,2,1,8,7,4,10,6,9] => 111011010 => [3,1,2,1,1,1] => 1806
[8,3,2,1,7,6,4,10,5,9] => 111011010 => [3,1,2,1,1,1] => 1806
[5,4,2,1,8,7,3,10,6,9] => 111011010 => [3,1,2,1,1,1] => 1806
[8,4,2,1,7,6,3,10,5,9] => 111011010 => [3,1,2,1,1,1] => 1806
[4,3,2,1,10,7,5,9,6,8] => 111011010 => [3,1,2,1,1,1] => 1806
[5,3,2,1,10,7,4,9,6,8] => 111011010 => [3,1,2,1,1,1] => 1806
[7,3,2,1,10,6,4,9,5,8] => 111011010 => [3,1,2,1,1,1] => 1806
[10,3,2,1,9,6,4,8,5,7] => 111011010 => [3,1,2,1,1,1] => 1806
[5,4,2,1,10,7,3,9,6,8] => 111011010 => [3,1,2,1,1,1] => 1806
[7,4,2,1,10,6,3,9,5,8] => 111011010 => [3,1,2,1,1,1] => 1806
[10,4,2,1,9,6,3,8,5,7] => 111011010 => [3,1,2,1,1,1] => 1806
[7,6,2,1,10,5,3,9,4,8] => 111011010 => [3,1,2,1,1,1] => 1806
[10,6,2,1,9,5,3,8,4,7] => 111011010 => [3,1,2,1,1,1] => 1806
[5,4,3,1,8,7,2,10,6,9] => 111011010 => [3,1,2,1,1,1] => 1806
[8,4,3,1,7,6,2,10,5,9] => 111011010 => [3,1,2,1,1,1] => 1806
[5,4,3,1,10,7,2,9,6,8] => 111011010 => [3,1,2,1,1,1] => 1806
[7,4,3,1,10,6,2,9,5,8] => 111011010 => [3,1,2,1,1,1] => 1806
[10,4,3,1,9,6,2,8,5,7] => 111011010 => [3,1,2,1,1,1] => 1806
[7,6,3,1,10,5,2,9,4,8] => 111011010 => [3,1,2,1,1,1] => 1806
[10,6,3,1,9,5,2,8,4,7] => 111011010 => [3,1,2,1,1,1] => 1806
[2,1,4,3,6,5,10,9,7,8] => 101010110 => [1,1,1,1,1,1,2,1] => 4004
[2,1,4,3,8,7,5,6,10,9] => 101011001 => [1,1,1,1,2,2,1] => 3584
[2,1,4,3,10,7,5,9,6,8] => 101011010 => [1,1,1,1,2,1,1,1] => 4274
[2,1,4,3,10,9,8,5,6,7] => 101011100 => [1,1,1,1,3,2] => 2244
[2,1,6,5,3,4,8,7,10,9] => 101100101 => [1,1,2,2,1,1,1] => 3754
[2,1,6,5,3,4,10,9,7,8] => 101100110 => [1,1,2,2,2,1] => 3164
[2,1,8,5,3,7,4,6,10,9] => 101101001 => [1,1,2,1,1,2,1] => 3484
[2,1,10,5,3,7,4,9,6,8] => 101101010 => [1,1,2,1,1,1,1,1] => 4202
[2,1,10,5,3,9,8,4,6,7] => 101101100 => [1,1,2,1,2,2] => 2661
[2,1,8,7,6,3,4,5,10,9] => 101110001 => [1,1,3,3,1] => 1849
[2,1,10,7,6,3,4,9,5,8] => 101110010 => [1,1,3,2,1,1] => 2704
[2,1,10,9,6,3,8,4,5,7] => 101110100 => [1,1,3,1,1,2] => 2172
[2,1,10,9,8,7,3,4,5,6] => 101111000 => [1,1,4,3] => 854
[4,3,1,2,6,5,8,7,10,9] => 110010101 => [2,2,1,1,1,1,1] => 3036
[4,3,1,2,6,5,10,9,7,8] => 110010110 => [2,2,1,1,2,1] => 2526
[4,3,1,2,8,7,5,6,10,9] => 110011001 => [2,2,2,2,1] => 2306
[4,3,1,2,10,7,5,9,6,8] => 110011010 => [2,2,2,1,1,1] => 2728
[4,3,1,2,10,9,8,5,6,7] => 110011100 => [2,2,3,2] => 1486
[6,3,1,5,2,4,8,7,10,9] => 110100101 => [2,1,1,2,1,1,1] => 3040
[6,3,1,5,2,4,10,9,7,8] => 110100110 => [2,1,1,2,2,1] => 2558
[8,3,1,5,2,7,4,6,10,9] => 110101001 => [2,1,1,1,1,2,1] => 2838
[10,3,1,5,2,7,4,9,6,8] => 110101010 => [2,1,1,1,1,1,1,1] => 3432
[10,3,1,5,2,9,8,4,6,7] => 110101100 => [2,1,1,1,2,2] => 2161
[8,3,1,7,6,2,4,5,10,9] => 110110001 => [2,1,2,3,1] => 1794
[10,3,1,7,6,2,4,9,5,8] => 110110010 => [2,1,2,2,1,1] => 2694
[10,3,1,9,6,2,8,4,5,7] => 110110100 => [2,1,2,1,1,2] => 2179
[10,3,1,9,8,7,2,4,5,6] => 110111000 => [2,1,3,3] => 1038
[6,5,4,1,2,3,8,7,10,9] => 111000101 => [3,3,1,1,1] => 1414
[6,5,4,1,2,3,10,9,7,8] => 111000110 => [3,3,2,1] => 1224
[8,5,4,1,2,7,3,6,10,9] => 111001001 => [3,2,1,2,1] => 1544
[10,5,4,1,2,7,3,9,6,8] => 111001010 => [3,2,1,1,1,1] => 1834
[10,5,4,1,2,9,8,3,6,7] => 111001100 => [3,2,2,2] => 1198
[8,7,4,1,6,2,3,5,10,9] => 111010001 => [3,1,1,3,1] => 1177
[10,7,4,1,6,2,3,9,5,8] => 111010010 => [3,1,1,2,1,1] => 1762
[10,9,4,1,6,2,8,3,5,7] => 111010100 => [3,1,1,1,1,2] => 1430
[10,9,4,1,8,7,2,3,5,6] => 111011000 => [3,1,2,3] => 802
[8,7,6,5,1,2,3,4,10,9] => 111100001 => [4,4,1] => 406
[10,7,6,5,1,2,3,9,4,8] => 111100010 => [4,3,1,1] => 721
[10,9,6,5,1,2,8,3,4,7] => 111100100 => [4,2,1,2] => 681
[10,9,8,5,1,7,2,3,4,6] => 111101000 => [4,1,1,3] => 451
[7,6,5,4,3,2,9,1,8] => 11111010 => [5,1,1,1] => 110
[6,5,4,3,9,2,8,1,7] => 11101010 => [3,1,1,1,1,1] => 572
[6,5,4,3,2,8,1,7,9] => 11110100 => [4,1,1,2] => 200
[5,4,9,3,8,2,7,1,6] => 10101010 => [1,1,1,1,1,1,1,1] => 1430
[5,4,3,8,2,7,1,6,9] => 11010100 => [2,1,1,1,1,2] => 704
[5,4,3,2,7,9,1,6,8] => 11100100 => [3,2,1,2] => 371
[5,4,3,2,7,1,6,8,9] => 11101000 => [3,1,1,3] => 242
[4,8,3,7,2,6,1,5,9] => 01010100 => [1,1,1,1,1,1,2] => 1001
[4,3,7,2,6,9,1,5,8] => 10100100 => [1,1,1,2,1,2] => 875
[4,3,7,2,6,1,5,8,9] => 10101000 => [1,1,1,1,1,3] => 572
[4,3,2,6,8,1,5,7,9] => 11001000 => [2,2,1,3] => 365
[4,3,2,6,1,5,7,8,9] => 11010000 => [2,1,1,4] => 200
[3,6,9,2,5,8,1,4,7] => 00100100 => [2,1,2,1,2] => 623
[3,6,2,5,8,1,4,7,9] => 01001000 => [1,1,2,1,3] => 502
[3,6,2,5,1,4,7,8,9] => 01010000 => [1,1,1,1,4] => 275
[3,2,5,7,9,1,4,6,8] => 10001000 => [1,3,1,3] => 332
[3,2,5,7,1,4,6,8,9] => 10010000 => [1,2,1,4] => 235
[3,2,5,1,4,6,7,8,9] => 10100000 => [1,1,1,5] => 110
[2,4,6,8,1,3,5,7,9] => 00010000 => [3,1,4] => 125
[2,4,6,1,3,5,7,8,9] => 00100000 => [2,1,5] => 83
[8,7,6,5,4,3,2,10,1,9] => 111111010 => [6,1,1,1] => 154
[7,6,5,4,3,10,2,9,1,8] => 111101010 => [4,1,1,1,1,1] => 1001
[7,6,5,4,3,2,9,1,8,10] => 111110100 => [5,1,1,2] => 319
[6,5,4,10,3,9,2,8,1,7] => 110101010 => [2,1,1,1,1,1,1,1] => 3432
[6,5,4,3,9,2,8,1,7,10] => 111010100 => [3,1,1,1,1,2] => 1430
[6,5,4,3,2,8,10,1,7,9] => 111100100 => [4,2,1,2] => 681
[6,5,4,3,2,8,1,7,9,10] => 111101000 => [4,1,1,3] => 451
[5,10,4,9,3,8,2,7,1,6] => 010101010 => [1,1,1,1,1,1,1,1,1] => 4862
[5,4,9,3,8,2,7,1,6,10] => 101010100 => [1,1,1,1,1,1,1,2] => 3432
[5,4,3,8,2,7,10,1,6,9] => 110100100 => [2,1,1,2,1,2] => 2179
[5,4,3,8,2,7,1,6,9,10] => 110101000 => [2,1,1,1,1,3] => 1430
[5,4,3,2,7,9,1,6,8,10] => 111001000 => [3,2,1,3] => 802
[5,4,3,2,7,1,6,8,9,10] => 111010000 => [3,1,1,4] => 451
[4,8,3,7,2,6,10,1,5,9] => 010100100 => [1,1,1,1,2,1,2] => 3054
[4,8,3,7,2,6,1,5,9,10] => 010101000 => [1,1,1,1,1,1,3] => 2002
[4,3,7,10,2,6,9,1,5,8] => 100100100 => [1,2,1,2,1,2] => 2550
[4,3,7,2,6,9,1,5,8,10] => 101001000 => [1,1,1,2,1,3] => 1806
[4,3,7,2,6,1,5,8,9,10] => 101010000 => [1,1,1,1,1,4] => 1001
[4,3,2,6,8,10,1,5,7,9] => 110001000 => [2,3,1,3] => 998
[4,3,2,6,8,1,5,7,9,10] => 110010000 => [2,2,1,4] => 666
[4,3,2,6,1,5,7,8,9,10] => 110100000 => [2,1,1,5] => 319
[3,6,9,2,5,8,1,4,7,10] => 001001000 => [2,1,2,1,3] => 1304
[3,6,2,5,8,10,1,4,7,9] => 010001000 => [1,1,3,1,3] => 1330
[3,6,2,5,8,1,4,7,9,10] => 010010000 => [1,1,2,1,4] => 901
[3,6,2,5,1,4,7,8,9,10] => 010100000 => [1,1,1,1,5] => 429
[3,2,5,7,9,1,4,6,8,10] => 100010000 => [1,3,1,4] => 626
[3,2,5,7,1,4,6,8,9,10] => 100100000 => [1,2,1,5] => 375
[3,2,5,1,4,6,7,8,9,10] => 101000000 => [1,1,1,6] => 154
[2,4,6,8,1,3,5,7,9,10] => 000100000 => [3,1,5] => 209
[2,4,6,1,3,5,7,8,9,10] => 001000000 => [2,1,6] => 119
[2,4,1,3,5,6,7,8,9,10] => 010000000 => [1,1,7] => 44
[2,1,7,3,8,4,6,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,1,8,2,7,3,6,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,1,7,2,8,3,6,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,1,3,2,8,4,6,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,1,8,2,4,3,6,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,1,7,2,5,3,6,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,1,5,2,8,3,6,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,1,7,2,8,3,6,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,1,8,2,7,3,6,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,1,8,2,4,3,7,6] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,1,6,2,4,3,7,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,1,8,2,4,3,7,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,1,8,2,5,3,7,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,1,6,2,5,3,7,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,1,6,2,7,3,5,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,1,8,2,7,3,5,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,1,7,2,8,3,5,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,1,7,2,5,3,8,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,1,7,2,4,3,8,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,1,6,2,4,3,8,7] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,1,5,2,4,3,8,6] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,1,6,2,4,3,8,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,1,6,2,5,3,8,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,1,6,2,8,3,5,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,1,8,2,6,3,5,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[1,8,2,7,5,4,6,3] => 0101101 => [1,1,1,2,1,1] => 359
[1,8,2,7,4,3,5,6] => 0101100 => [1,1,1,2,2] => 255
[1,8,6,4,7,2,3,5] => 0110100 => [1,2,1,1,2] => 241
[1,8,4,2,6,3,5,7] => 0110100 => [1,2,1,1,2] => 241
[7,4,8,1,5,2,3,6] => 1010100 => [1,1,1,1,1,2] => 297
[4,1,7,2,6,3,5,8] => 1010100 => [1,1,1,1,1,2] => 297
[5,1,7,4,3,6,2,8] => 1011010 => [1,1,2,1,1,1] => 359
[7,5,8,3,2,4,1,6] => 1011010 => [1,1,2,1,1,1] => 359
[1,8,5,4,3,6,2,7] => 0111010 => [1,3,1,1,1] => 219
[1,8,5,4,3,7,2,6] => 0111010 => [1,3,1,1,1] => 219
[1,8,5,4,7,2,6,3] => 0110101 => [1,2,1,1,1,1] => 345
[1,8,4,2,5,3,7,6] => 0110101 => [1,2,1,1,1,1] => 345
[1,8,5,4,2,6,7,3] => 0111001 => [1,3,2,1] => 185
[7,4,8,2,1,3,5,6] => 1011000 => [1,1,2,3] => 145
[4,1,7,3,2,5,6,8] => 1011000 => [1,1,2,3] => 145
[7,5,4,8,2,3,6,1] => 1101001 => [2,1,1,2,1] => 241
[7,3,8,1,5,6,2,4] => 1010010 => [1,1,1,2,1,1] => 359
[3,1,7,2,6,8,4,5] => 1010010 => [1,1,1,2,1,1] => 359
[5,1,7,4,2,6,8,3] => 1011001 => [1,1,2,2,1] => 295
[4,1,6,3,2,5,8,7] => 1011001 => [1,1,2,2,1] => 295
[4,3,1,6,2,5,7,8] => 1101000 => [2,1,1,3] => 117
[6,5,4,3,7,1,8,2] => 1110101 => [3,1,1,1,1] => 165
[6,3,2,8,5,7,1,4] => 1101010 => [2,1,1,1,1,1] => 297
[6,5,4,3,8,2,7,1] => 1110101 => [3,1,1,1,1] => 165
[6,5,4,3,8,7,1,2] => 1110110 => [3,1,2,1] => 137
[7,6,3,8,5,4,1,2] => 1101110 => [2,1,3,1] => 157
[5,4,8,2,1,7,3,6] => 1011010 => [1,1,2,1,1,1] => 359
[6,4,2,8,5,1,3,7] => 1101100 => [2,1,2,2] => 180
[7,6,4,8,5,1,2,3] => 1101100 => [2,1,2,2] => 180
[7,2,8,6,3,1,4,5] => 1011100 => [1,1,3,2] => 171
[7,2,8,6,1,5,3,4] => 1011010 => [1,1,2,1,1,1] => 359
[2,1,7,8,3,6,4,5] => 1001010 => [1,2,1,1,1,1] => 345
[6,4,1,7,8,2,3,5] => 1100100 => [2,2,1,2] => 180
[4,2,1,6,7,3,5,8] => 1100100 => [2,2,1,2] => 180
[4,3,1,5,2,7,6,8] => 1101010 => [2,1,1,1,1,1] => 297
[5,4,2,7,3,8,1,6] => 1101010 => [2,1,1,1,1,1] => 297
[4,1,5,3,2,8,6,7] => 1011010 => [1,1,2,1,1,1] => 359
[3,1,6,2,8,7,4,5] => 1010110 => [1,1,1,1,2,1] => 345
[6,3,1,7,8,5,2,4] => 1100110 => [2,2,2,1] => 211
[6,5,4,1,7,8,3,2] => 1110011 => [3,2,2] => 105
[5,4,3,1,6,7,2,8] => 1110010 => [3,2,1,1] => 145
[6,5,4,2,7,8,3,1] => 1110011 => [3,2,2] => 105
[5,4,2,6,3,8,7,1] => 1101011 => [2,1,1,1,2] => 207
[4,3,1,5,2,6,8,7] => 1101001 => [2,1,1,2,1] => 241
[5,4,2,1,6,7,8,3] => 1110001 => [3,3,1] => 95
[5,4,3,1,6,7,8,2] => 1110001 => [3,3,1] => 95
[6,3,8,1,2,5,7,4] => 1010001 => [1,1,1,3,1] => 219
[3,6,7,1,2,5,8,4] => 0010001 => [2,1,3,1] => 157
[7,8,3,1,2,5,6,4] => 0110001 => [1,2,3,1] => 185
[7,8,1,3,2,4,6,5] => 0101001 => [1,1,1,1,2,1] => 345
[7,8,2,1,3,5,4,6] => 0110010 => [1,2,2,1,1] => 295
[5,2,3,7,1,8,6,4] => 1001011 => [1,2,1,1,2] => 241
[2,5,3,6,1,8,7,4] => 0101011 => [1,1,1,1,1,2] => 297
[2,6,7,3,1,8,4,5] => 0011010 => [2,2,1,1,1] => 255
[2,6,7,1,3,5,4,8] => 0010010 => [2,1,2,1,1] => 252
[6,2,8,3,1,7,4,5] => 1011010 => [1,1,2,1,1,1] => 359
[3,2,5,7,1,8,4,6] => 1001010 => [1,2,1,1,1,1] => 345
[4,3,1,2,7,8,6,5] => 1100011 => [2,3,2] => 126
[5,1,2,7,3,6,4,8] => 1001010 => [1,2,1,1,1,1] => 345
[5,1,4,7,8,2,3,6] => 1000100 => [1,3,1,2] => 157
[5,3,4,7,8,6,1,2] => 1000110 => [1,3,2,1] => 185
[3,5,4,6,8,7,1,2] => 0100110 => [1,1,2,2,1] => 295
[1,5,4,6,8,2,3,7] => 0100100 => [1,1,2,1,2] => 252
[1,6,7,3,2,4,8,5] => 0011001 => [2,2,2,1] => 211
[1,5,3,6,2,7,8,4] => 0101001 => [1,1,1,1,2,1] => 345
[5,1,3,7,2,6,8,4] => 1001001 => [1,2,1,2,1] => 281
[5,2,4,7,8,1,6,3] => 1000101 => [1,3,1,1,1] => 219
[4,2,5,7,6,1,8,3] => 1001101 => [1,2,2,1,1] => 295
[4,5,2,8,6,1,7,3] => 0101101 => [1,1,1,2,1,1] => 359
[5,3,1,8,2,6,7,4] => 1101001 => [2,1,1,2,1] => 241
[6,1,8,3,2,4,7,5] => 1011001 => [1,1,2,2,1] => 295
[4,3,5,7,6,8,1,2] => 1001010 => [1,2,1,1,1,1] => 345
[4,1,5,7,6,2,3,8] => 1001100 => [1,2,2,2] => 211
[4,5,1,8,6,2,3,7] => 0101100 => [1,1,1,2,2] => 255
[5,2,1,8,3,6,4,7] => 1101010 => [2,1,1,1,1,1] => 297
[3,4,2,1,8,7,5,6] => 0110110 => [1,2,1,2,1] => 281
[7,6,5,4,2,1,8,3] => 1111101 => [5,1,1] => 27
[7,6,5,4,8,1,3,2] => 1110101 => [3,1,1,1,1] => 165
[8,7,6,5,4,2,1,9,3] => 11111101 => [6,1,1] => 35
[7,6,5,8,2,1,4,3] => 1101101 => [2,1,2,1,1] => 252
[8,7,6,5,3,2,1,9,4] => 11111101 => [6,1,1] => 35
[8,7,6,4,3,2,1,9,5] => 11111101 => [6,1,1] => 35
[8,7,5,4,3,2,1,9,6] => 11111101 => [6,1,1] => 35
[8,5,4,3,2,1,7,6] => 1111101 => [5,1,1] => 27
[8,6,5,4,3,2,1,9,7] => 11111101 => [6,1,1] => 35
[7,6,5,4,3,2,1,9,8] => 11111101 => [6,1,1] => 35
[7,6,5,4,1,8,3,2] => 1111011 => [4,1,2] => 55
[8,7,6,5,4,9,1,3,2] => 11110101 => [4,1,1,1,1] => 275
[9,8,7,6,5,4,2,1,10,3] => 111111101 => [7,1,1] => 44
[7,6,5,2,8,1,4,3] => 1110101 => [3,1,1,1,1] => 165
[8,7,6,5,9,2,1,4,3] => 11101101 => [3,1,2,1,1] => 502
[9,8,7,6,5,3,2,1,10,4] => 111111101 => [7,1,1] => 44
[7,6,5,8,4,1,3,2] => 1101101 => [2,1,2,1,1] => 252
[8,7,6,9,3,2,1,5,4] => 11011101 => [2,1,3,1,1] => 609
[9,8,7,6,4,3,2,1,10,5] => 111111101 => [7,1,1] => 44
[7,6,8,5,2,1,4,3] => 1011101 => [1,1,3,1,1] => 233
[8,7,9,4,3,2,1,6,5] => 10111101 => [1,1,4,1,1] => 450
[9,8,7,5,4,3,2,1,10,6] => 111111101 => [7,1,1] => 44
[7,8,6,3,2,1,5,4] => 0111101 => [1,4,1,1] => 107
[8,9,5,4,3,2,1,7,6] => 01111101 => [1,5,1,1] => 170
[9,8,6,5,4,3,2,1,10,7] => 111111101 => [7,1,1] => 44
[8,7,4,3,2,1,6,5] => 1111101 => [5,1,1] => 27
[9,6,5,4,3,2,1,8,7] => 11111101 => [6,1,1] => 35
[9,7,6,5,4,3,2,1,10,8] => 111111101 => [7,1,1] => 44
[7,8,9,10,4,5,6,2,3,1] => 000100101 => [3,1,2,1,1,1] => 1806
[7,8,9,4,5,6,10,2,3,1] => 001000101 => [2,1,3,1,1,1] => 2256
[7,8,9,10,4,5,2,3,6,1] => 000101001 => [3,1,1,1,2,1] => 1672
[7,8,9,4,5,10,2,3,6,1] => 001001001 => [2,1,2,1,2,1] => 2550
[7,8,9,4,5,2,3,6,10,1] => 001010001 => [2,1,1,1,3,1] => 1947
[7,8,4,5,9,10,2,3,6,1] => 010001001 => [1,1,3,1,2,1] => 2548
[7,8,4,5,9,2,3,6,10,1] => 010010001 => [1,1,2,1,3,1] => 2407
[7,8,9,10,4,5,6,2,1,3] => 000100110 => [3,1,2,2,1] => 1532
[7,8,9,4,5,6,10,2,1,3] => 001000110 => [2,1,3,2,1] => 1942
[7,8,9,10,4,5,2,6,1,3] => 000101010 => [3,1,1,1,1,1,1] => 2002
[7,8,9,4,5,10,2,6,1,3] => 001001010 => [2,1,2,1,1,1,1] => 3054
[7,8,9,4,5,2,6,10,1,3] => 001010010 => [2,1,1,1,2,1,1] => 2982
[7,8,4,5,9,10,2,6,1,3] => 010001010 => [1,1,3,1,1,1,1] => 3014
[7,8,4,5,9,2,6,10,1,3] => 010010010 => [1,1,2,1,2,1,1] => 3667
[7,8,9,10,4,5,2,1,3,6] => 000101100 => [3,1,1,2,2] => 1286
[7,8,9,4,5,10,2,1,3,6] => 001001100 => [2,1,2,2,2] => 1963
[7,8,9,4,5,2,10,1,3,6] => 001010100 => [2,1,1,1,1,1,2] => 2431
[7,8,9,4,5,2,1,3,6,10] => 001011000 => [2,1,1,2,3] => 1318
[7,8,4,5,9,10,2,1,3,6] => 010001100 => [1,1,3,2,2] => 1986
[7,8,4,5,9,2,10,1,3,6] => 010010100 => [1,1,2,1,1,1,2] => 2982
[7,8,4,5,9,2,1,3,6,10] => 010011000 => [1,1,2,2,3] => 1634
[7,8,9,10,4,2,5,6,1,3] => 000110010 => [3,2,2,1,1] => 1634
[7,8,9,4,10,2,5,6,1,3] => 001010010 => [2,1,1,1,2,1,1] => 2982
[7,8,9,4,2,5,6,10,1,3] => 001100010 => [2,2,3,1,1] => 1986
[7,8,4,9,10,2,5,6,1,3] => 010010010 => [1,1,2,1,2,1,1] => 3667
[7,8,4,9,2,5,6,10,1,3] => 010100010 => [1,1,1,1,3,1,1] => 3014
[7,8,9,10,4,2,5,1,3,6] => 000110100 => [3,2,1,1,2] => 1318
[7,8,9,4,10,2,5,1,3,6] => 001010100 => [2,1,1,1,1,1,2] => 2431
[7,8,9,4,2,5,10,1,3,6] => 001100100 => [2,2,2,1,2] => 1963
[7,8,9,4,2,5,1,3,6,10] => 001101000 => [2,2,1,1,3] => 1286
[7,8,4,9,10,2,5,1,3,6] => 010010100 => [1,1,2,1,1,1,2] => 2982
[7,8,4,9,2,5,10,1,3,6] => 010100100 => [1,1,1,1,2,1,2] => 3054
[7,8,4,9,2,5,1,3,6,10] => 010101000 => [1,1,1,1,1,1,3] => 2002
[7,8,4,2,5,9,10,1,3,6] => 011000100 => [1,2,3,1,2] => 1942
[7,8,4,2,5,9,1,3,6,10] => 011001000 => [1,2,2,1,3] => 1532
[7,4,8,9,10,2,5,6,1,3] => 100010010 => [1,3,1,2,1,1] => 2407
[7,4,8,9,2,5,6,10,1,3] => 100100010 => [1,2,1,3,1,1] => 2548
[7,4,8,9,10,2,5,1,3,6] => 100010100 => [1,3,1,1,1,2] => 1947
[7,4,8,9,2,5,10,1,3,6] => 100100100 => [1,2,1,2,1,2] => 2550
[7,4,8,9,2,5,1,3,6,10] => 100101000 => [1,2,1,1,1,3] => 1672
[7,4,8,2,5,9,10,1,3,6] => 101000100 => [1,1,1,3,1,2] => 2256
[7,8,2,4,5,1,3,6] => 0100100 => [1,1,2,1,2] => 252
[4,6,7,2,5,1,3,8] => 0010100 => [2,1,1,1,2] => 207
[7,8,1,3,2,4,5,6] => 0101000 => [1,1,1,1,3] => 165
[7,8,4,1,5,2,3,6] => 0110100 => [1,2,1,1,2] => 241
[3,6,7,2,1,4,5,8] => 0011000 => [2,2,3] => 105
[5,2,3,6,1,4,7,8] => 1001000 => [1,2,1,3] => 137
[2,5,3,6,1,4,7,8] => 0101000 => [1,1,1,1,3] => 165
[2,6,7,3,1,4,5,8] => 0011000 => [2,2,3] => 105
[4,6,7,1,5,2,3,8] => 0010100 => [2,1,1,1,2] => 207
[4,6,7,3,5,8,1,2] => 0010010 => [2,1,2,1,1] => 252
[6,4,7,1,5,2,3,8] => 1010100 => [1,1,1,1,1,2] => 297
[6,2,7,3,1,4,5,8] => 1011000 => [1,1,2,3] => 145
[3,2,5,6,1,4,7,8] => 1001000 => [1,2,1,3] => 137
[3,5,2,6,1,4,7,8] => 0101000 => [1,1,1,1,3] => 165
[5,1,4,6,7,2,3,8] => 1000100 => [1,3,1,2] => 157
[3,5,4,6,7,8,1,2] => 0100010 => [1,1,3,1,1] => 233
[1,5,4,6,7,2,3,8] => 0100100 => [1,1,2,1,2] => 252
[1,6,7,3,2,4,5,8] => 0011000 => [2,2,3] => 105
[1,5,3,6,2,4,7,8] => 0101000 => [1,1,1,1,3] => 165
[5,1,3,6,2,4,7,8] => 1001000 => [1,2,1,3] => 137
[5,2,4,6,7,1,3,8] => 1000100 => [1,3,1,2] => 157
[2,5,4,6,7,1,3,8] => 0100100 => [1,1,2,1,2] => 252
[2,6,7,4,5,1,3,8] => 0010100 => [2,1,1,1,2] => 207
[6,2,7,4,5,1,3,8] => 1010100 => [1,1,1,1,1,2] => 297
[4,2,5,6,7,1,3,8] => 1000100 => [1,3,1,2] => 157
[4,5,2,6,7,1,3,8] => 0100100 => [1,1,2,1,2] => 252
[5,3,1,6,2,4,7,8] => 1101000 => [2,1,1,3] => 117
[6,1,7,3,2,4,5,8] => 1011000 => [1,1,2,3] => 145
[6,1,7,4,5,2,3,8] => 1010100 => [1,1,1,1,1,2] => 297
[6,3,7,4,5,8,1,2] => 1010010 => [1,1,1,2,1,1] => 359
[5,4,1,6,7,2,3,8] => 1100100 => [2,2,1,2] => 180
[5,2,1,6,3,4,7,8] => 1101000 => [2,1,1,3] => 117
[7,3,2,5,4,1,6,8] => 1101100 => [2,1,2,2] => 180
[7,3,5,4,2,1,6,8] => 1011100 => [1,1,3,2] => 171
[7,3,5,2,4,1,6,8] => 1010100 => [1,1,1,1,1,2] => 297
[7,6,5,2,1,4,3,8] => 1111010 => [4,1,1,1] => 75
[1,3,6,7,5,2,8,4] => 0001101 => [3,2,1,1] => 145
[7,3,4,1,6,2,5,8] => 1010100 => [1,1,1,1,1,2] => 297
[7,3,4,1,6,5,2,8] => 1010110 => [1,1,1,1,2,1] => 345
[7,3,4,1,5,6,2,8] => 1010010 => [1,1,1,2,1,1] => 359
[7,3,2,5,1,6,4,8] => 1101010 => [2,1,1,1,1,1] => 297
[7,6,5,4,1,3,2,8] => 1111010 => [4,1,1,1] => 75
[7,3,4,1,5,2,6,8] => 1010100 => [1,1,1,1,1,2] => 297
[1,3,6,7,2,5,8,4] => 0001001 => [3,1,2,1] => 137
[1,7,4,6,2,8,5,3] => 0101011 => [1,1,1,1,1,2] => 297
[4,3,1,7,2,6,8,5] => 1101001 => [2,1,1,2,1] => 241
[5,6,1,4,7,3,8,2] => 0100101 => [1,1,2,1,1,1] => 359
[5,3,2,1,7,4,8,6] => 1110101 => [3,1,1,1,1] => 165
[1,3,4,5,8,7,2,6] => 0000110 => [4,2,1] => 65
[6,3,4,5,8,1,7,2] => 1000101 => [1,3,1,1,1] => 219
[2,4,5,1,6,8,7,3] => 0010011 => [2,1,2,2] => 180
[3,1,2,5,6,8,7,4] => 1000011 => [1,4,2] => 81
[4,3,2,5,6,8,1,7] => 1100010 => [2,3,1,1] => 171
[3,7,5,4,6,8,1,2] => 0110010 => [1,2,2,1,1] => 295
[3,1,4,6,5,8,2,7] => 1001010 => [1,2,1,1,1,1] => 345
[2,3,4,5,8,6,1,7] => 0000110 => [4,2,1] => 65
[2,3,4,5,8,1,7,6] => 0000101 => [4,1,1,1] => 75
[3,1,4,6,5,8,7,2] => 1001011 => [1,2,1,1,2] => 241
[3,7,5,4,6,8,2,1] => 0110011 => [1,2,2,2] => 211
[5,6,1,4,7,2,8,3] => 0100101 => [1,1,2,1,1,1] => 359
[4,3,1,7,5,6,8,2] => 1101001 => [2,1,1,2,1] => 241
[4,3,1,7,6,5,8,2] => 1101101 => [2,1,2,1,1] => 252
[3,1,4,6,7,8,5,2] => 1000011 => [1,4,2] => 81
[1,4,5,2,6,8,7,3] => 0010011 => [2,1,2,2] => 180
[3,7,5,2,6,8,1,4] => 0110010 => [1,2,2,1,1] => 295
[3,7,5,2,6,8,4,1] => 0110011 => [1,2,2,2] => 211
[5,6,1,2,7,4,8,3] => 0100101 => [1,1,2,1,1,1] => 359
[6,3,5,2,4,7,8,1] => 1010001 => [1,1,1,3,1] => 219
[5,3,2,1,4,7,8,6] => 1110001 => [3,3,1] => 95
[5,3,1,4,2,7,8,6] => 1101001 => [2,1,1,2,1] => 241
[5,3,1,2,4,7,8,6] => 1100001 => [2,4,1] => 81
[7,1,5,2,6,8,4,3] => 1010011 => [1,1,1,2,2] => 255
[7,1,5,2,6,8,3,4] => 1010010 => [1,1,1,2,1,1] => 359
[1,7,4,6,5,8,3,2] => 0101011 => [1,1,1,1,1,2] => 297
[2,7,4,6,1,8,3,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,7,4,6,1,8,5,3] => 0101011 => [1,1,1,1,1,2] => 297
[2,3,6,7,1,5,8,4] => 0001001 => [3,1,2,1] => 137
[2,3,6,7,5,1,8,4] => 0001101 => [3,2,1,1] => 145
[4,3,2,6,7,1,8,5] => 1100101 => [2,2,1,1,1] => 255
[7,3,2,5,6,8,1,4] => 1100010 => [2,3,1,1] => 171
[7,1,5,4,6,8,2,3] => 1010010 => [1,1,1,2,1,1] => 359
[2,7,4,6,5,8,1,3] => 0101010 => [1,1,1,1,1,1,1] => 429
[7,3,4,5,8,6,1,2] => 1000110 => [1,3,2,1] => 185
[7,3,4,5,8,1,6,2] => 1000101 => [1,3,1,1,1] => 219
[7,3,4,5,8,1,2,6] => 1000100 => [1,3,1,2] => 157
[1,3,4,5,8,6,2,7] => 0000110 => [4,2,1] => 65
[1,3,4,5,8,2,7,6] => 0000101 => [4,1,1,1] => 75
[6,3,4,5,8,2,1,7] => 1000110 => [1,3,2,1] => 185
[6,3,4,5,8,2,7,1] => 1000101 => [1,3,1,1,1] => 219
[7,3,4,5,8,6,2,1] => 1000111 => [1,3,3] => 95
[2,7,4,6,5,8,3,1] => 0101011 => [1,1,1,1,1,2] => 297
[7,1,5,4,6,8,3,2] => 1010011 => [1,1,1,2,2] => 255
[7,3,2,5,6,8,4,1] => 1100011 => [2,3,2] => 126
[5,7,4,6,1,8,3,2] => 0101011 => [1,1,1,1,1,2] => 297
[6,3,4,5,8,1,2,7] => 1000100 => [1,3,1,2] => 157
[7,3,4,5,8,2,1,6] => 1000110 => [1,3,2,1] => 185
[7,3,4,5,8,2,6,1] => 1000101 => [1,3,1,1,1] => 219
[4,7,6,1,8,2,5,3] => 0110101 => [1,2,1,1,1,1] => 345
[4,8,6,1,7,5,2,3] => 0110110 => [1,2,1,2,1] => 281
[4,7,8,2,6,1,5,3] => 0010101 => [2,1,1,1,1,1] => 297
[7,6,4,2,8,3,5,1] => 1110101 => [3,1,1,1,1] => 165
[8,6,4,2,7,5,3,1] => 1110111 => [3,1,3] => 69
[8,4,7,3,6,5,1,2] => 1010110 => [1,1,1,1,2,1] => 345
[8,4,6,1,7,5,3,2] => 1010111 => [1,1,1,1,3] => 165
[6,4,7,1,8,3,2,5] => 1010110 => [1,1,1,1,2,1] => 345
[7,4,8,3,6,1,5,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,8,4,3,6,2,5,1] => 0110101 => [1,2,1,1,1,1] => 345
[8,10,7,9,5,6,3,4,1,2] => 010101010 => [1,1,1,1,1,1,1,1,1] => 4862
[9,10,6,8,5,7,3,4,1,2] => 010101010 => [1,1,1,1,1,1,1,1,1] => 4862
[8,10,6,9,5,7,3,4,1,2] => 010101010 => [1,1,1,1,1,1,1,1,1] => 4862
[7,10,6,9,5,8,3,4,1,2] => 010101010 => [1,1,1,1,1,1,1,1,1] => 4862
[9,10,7,8,4,6,3,5,1,2] => 010101010 => [1,1,1,1,1,1,1,1,1] => 4862
[8,10,7,9,4,6,3,5,1,2] => 010101010 => [1,1,1,1,1,1,1,1,1] => 4862
[9,10,6,8,4,7,3,5,1,2] => 010101010 => [1,1,1,1,1,1,1,1,1] => 4862
[8,10,6,9,4,7,3,5,1,2] => 010101010 => [1,1,1,1,1,1,1,1,1] => 4862
[7,10,6,9,4,8,3,5,1,2] => 010101010 => [1,1,1,1,1,1,1,1,1] => 4862
[9,10,5,8,4,7,3,6,1,2] => 010101010 => [1,1,1,1,1,1,1,1,1] => 4862
[8,10,5,9,4,7,3,6,1,2] => 010101010 => [1,1,1,1,1,1,1,1,1] => 4862
[7,10,5,9,4,8,3,6,1,2] => 010101010 => [1,1,1,1,1,1,1,1,1] => 4862
[6,10,5,9,4,8,3,7,1,2] => 010101010 => [1,1,1,1,1,1,1,1,1] => 4862
[9,10,7,8,5,6,2,4,1,3] => 010101010 => [1,1,1,1,1,1,1,1,1] => 4862
[8,10,7,9,5,6,2,4,1,3] => 010101010 => [1,1,1,1,1,1,1,1,1] => 4862
[9,10,6,8,5,7,2,4,1,3] => 010101010 => [1,1,1,1,1,1,1,1,1] => 4862
[8,10,6,9,5,7,2,4,1,3] => 010101010 => [1,1,1,1,1,1,1,1,1] => 4862
[7,10,6,9,5,8,2,4,1,3] => 010101010 => [1,1,1,1,1,1,1,1,1] => 4862
[9,10,7,8,4,6,2,5,1,3] => 010101010 => [1,1,1,1,1,1,1,1,1] => 4862
[8,10,7,9,4,6,2,5,1,3] => 010101010 => [1,1,1,1,1,1,1,1,1] => 4862
[9,10,6,8,4,7,2,5,1,3] => 010101010 => [1,1,1,1,1,1,1,1,1] => 4862
[8,10,6,9,4,7,2,5,1,3] => 010101010 => [1,1,1,1,1,1,1,1,1] => 4862
[7,10,6,9,4,8,2,5,1,3] => 010101010 => [1,1,1,1,1,1,1,1,1] => 4862
[9,10,5,8,4,7,2,6,1,3] => 010101010 => [1,1,1,1,1,1,1,1,1] => 4862
[8,10,5,9,4,7,2,6,1,3] => 010101010 => [1,1,1,1,1,1,1,1,1] => 4862
[7,10,5,9,4,8,2,6,1,3] => 010101010 => [1,1,1,1,1,1,1,1,1] => 4862
[6,10,5,9,4,8,2,7,1,3] => 010101010 => [1,1,1,1,1,1,1,1,1] => 4862
[9,10,7,8,3,6,2,5,1,4] => 010101010 => [1,1,1,1,1,1,1,1,1] => 4862
[8,10,7,9,3,6,2,5,1,4] => 010101010 => [1,1,1,1,1,1,1,1,1] => 4862
[9,10,6,8,3,7,2,5,1,4] => 010101010 => [1,1,1,1,1,1,1,1,1] => 4862
[8,10,6,9,3,7,2,5,1,4] => 010101010 => [1,1,1,1,1,1,1,1,1] => 4862
[7,10,6,9,3,8,2,5,1,4] => 010101010 => [1,1,1,1,1,1,1,1,1] => 4862
[9,10,5,8,3,7,2,6,1,4] => 010101010 => [1,1,1,1,1,1,1,1,1] => 4862
[8,10,5,9,3,7,2,6,1,4] => 010101010 => [1,1,1,1,1,1,1,1,1] => 4862
[7,10,5,9,3,8,2,6,1,4] => 010101010 => [1,1,1,1,1,1,1,1,1] => 4862
[6,10,5,9,3,8,2,7,1,4] => 010101010 => [1,1,1,1,1,1,1,1,1] => 4862
[9,10,4,8,3,7,2,6,1,5] => 010101010 => [1,1,1,1,1,1,1,1,1] => 4862
[8,10,4,9,3,7,2,6,1,5] => 010101010 => [1,1,1,1,1,1,1,1,1] => 4862
[7,10,4,9,3,8,2,6,1,5] => 010101010 => [1,1,1,1,1,1,1,1,1] => 4862
[6,10,4,9,3,8,2,7,1,5] => 010101010 => [1,1,1,1,1,1,1,1,1] => 4862
[2,1,7,3,5,8,6,4] => 1010011 => [1,1,1,2,2] => 255
[4,2,1,8,3,6,7,5] => 1101001 => [2,1,1,2,1] => 241
[2,1,8,6,3,5,7,4] => 1011001 => [1,1,2,2,1] => 295
[6,2,1,7,3,5,8,4] => 1101001 => [2,1,1,2,1] => 241
[2,7,3,1,4,8,5,6] => 0110010 => [1,2,2,1,1] => 295
[3,2,1,5,7,8,4,6] => 1100010 => [2,3,1,1] => 171
[2,1,7,3,6,8,4,5] => 1010010 => [1,1,1,2,1,1] => 359
[2,7,3,1,5,6,8,4] => 0110001 => [1,2,3,1] => 185
[4,3,7,5,6,1,8,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,3,6,8,5,1,7,2] => 1001101 => [1,2,2,1,1] => 295
[2,6,1,8,3,5,7,4] => 0101001 => [1,1,1,1,2,1] => 345
[2,1,6,8,3,7,4,5] => 1001010 => [1,2,1,1,1,1] => 345
[2,1,8,3,5,7,4,6] => 1010010 => [1,1,1,2,1,1] => 359
[3,2,1,5,6,8,4,7] => 1100010 => [2,3,1,1] => 171
[3,2,1,5,7,4,6,8] => 1100100 => [2,2,1,2] => 180
[8,2,4,1,7,5,6,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[3,8,4,7,5,1,6,2] => 0101101 => [1,1,1,2,1,1] => 359
[8,4,3,6,1,7,5,2] => 1101011 => [2,1,1,1,2] => 207
[8,2,1,7,3,5,4,6] => 1101010 => [2,1,1,1,1,1] => 297
[5,8,6,3,1,7,4,2] => 0111011 => [1,3,1,2] => 157
[2,4,7,1,8,5,3,6] => 0010110 => [2,1,1,2,1] => 241
[2,4,8,5,1,6,3,7] => 0011010 => [2,2,1,1,1] => 255
[6,2,1,7,3,4,8,5] => 1101001 => [2,1,1,2,1] => 241
[6,2,1,7,8,3,5,4] => 1100101 => [2,2,1,1,1] => 255
[2,1,8,3,6,4,5,7] => 1010100 => [1,1,1,1,1,2] => 297
[3,2,1,6,7,4,5,8] => 1100100 => [2,2,1,2] => 180
[3,2,1,6,8,4,5,7] => 1100100 => [2,2,1,2] => 180
[2,1,8,3,7,4,5,6] => 1010100 => [1,1,1,1,1,2] => 297
[2,1,8,3,6,7,4,5] => 1010010 => [1,1,1,2,1,1] => 359
[2,4,8,5,1,6,7,3] => 0011001 => [2,2,2,1] => 211
[3,2,1,8,4,5,6,7] => 1101000 => [2,1,1,3] => 117
[1,6,8,3,7,2,4,5] => 0010100 => [2,1,1,1,2] => 207
[3,8,1,5,7,2,4,6] => 0100100 => [1,1,2,1,2] => 252
[1,2,6,8,4,7,3,5] => 0001010 => [3,1,1,1,1] => 165
[6,1,5,8,2,4,7,3] => 1001001 => [1,2,1,2,1] => 281
[1,2,4,8,3,6,7,5] => 0001001 => [3,1,2,1] => 137
[4,1,2,7,8,3,6,5] => 1000101 => [1,3,1,1,1] => 219
[3,5,7,4,8,6,1,2] => 0010110 => [2,1,1,2,1] => 241
[5,3,8,4,7,6,1,2] => 1010110 => [1,1,1,1,2,1] => 345
[8,7,1,2,5,4,6,3] => 1100101 => [2,2,1,1,1] => 255
[5,8,1,2,3,7,6,4] => 0100011 => [1,1,3,2] => 171
[1,2,8,4,3,5,7,6] => 0011001 => [2,2,2,1] => 211
[1,2,5,3,7,6,4,8] => 0010110 => [2,1,1,2,1] => 241
[6,1,2,8,7,4,5,3] => 1001101 => [1,2,2,1,1] => 295
[7,1,6,2,8,4,5,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[1,2,6,3,8,5,4,7] => 0010110 => [2,1,1,2,1] => 241
[1,2,8,5,3,6,4,7] => 0011010 => [2,2,1,1,1] => 255
[1,2,7,3,8,5,4,6] => 0010110 => [2,1,1,2,1] => 241
[4,1,2,7,8,6,3,5] => 1000110 => [1,3,2,1] => 185
[1,6,2,8,4,3,5,7] => 0101100 => [1,1,1,2,2] => 255
[1,6,4,2,7,3,5,8] => 0110100 => [1,2,1,1,2] => 241
[1,8,6,3,2,4,5,7] => 0111000 => [1,3,3] => 95
[1,7,3,2,8,4,5,6] => 0110100 => [1,2,1,1,2] => 241
[3,1,7,8,6,2,4,5] => 1001100 => [1,2,2,2] => 211
[1,8,7,2,4,5,6,3] => 0110001 => [1,2,3,1] => 185
[1,8,7,3,5,6,2,4] => 0110010 => [1,2,2,1,1] => 295
[1,3,2,8,7,4,5,6] => 0101100 => [1,1,1,2,2] => 255
[1,8,3,2,6,4,5,7] => 0110100 => [1,2,1,1,2] => 241
[1,7,6,3,2,4,5,8] => 0111000 => [1,3,3] => 95
[1,2,8,4,3,7,5,6] => 0011010 => [2,2,1,1,1] => 255
[8,5,1,7,2,4,6,3] => 1101001 => [2,1,1,2,1] => 241
[5,3,8,7,4,6,1,2] => 1011010 => [1,1,2,1,1,1] => 359
[3,8,6,4,7,5,1,2] => 0110110 => [1,2,1,2,1] => 281
[6,1,8,2,7,4,5,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[1,2,5,3,8,6,4,7] => 0010110 => [2,1,1,2,1] => 241
[1,2,7,5,3,6,4,8] => 0011010 => [2,2,1,1,1] => 255
[1,2,6,3,7,5,4,8] => 0010110 => [2,1,1,2,1] => 241
[1,2,3,7,5,4,8,6] => 0001101 => [3,2,1,1] => 145
[3,7,4,8,6,5,1,2] => 0101110 => [1,1,1,3,1] => 219
[1,8,2,7,6,4,5,3] => 0101101 => [1,1,1,2,1,1] => 359
[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] => 107
[7,1,6,3,2,5,4,8] => 1011010 => [1,1,2,1,1,1] => 359
[2,7,6,3,1,5,8,4] => 0111001 => [1,3,2,1] => 185
[1,8,4,3,6,5,2,7] => 0110110 => [1,2,1,2,1] => 281
[1,8,4,6,5,3,2,7] => 0101110 => [1,1,1,3,1] => 219
[7,4,2,1,6,5,3,8] => 1110110 => [3,1,2,1] => 137
[7,6,1,4,3,5,2,8] => 1101010 => [2,1,1,1,1,1] => 297
[7,4,1,3,5,2,6,8] => 1100100 => [2,2,1,2] => 180
[7,3,1,2,4,6,5,8] => 1100010 => [2,3,1,1] => 171
[1,8,6,3,4,5,2,7] => 0110010 => [1,2,2,1,1] => 295
[1,8,6,7,4,2,5,3] => 0101101 => [1,1,1,2,1,1] => 359
[3,6,2,1,4,8,5,7] => 0110010 => [1,2,2,1,1] => 295
[3,1,7,2,4,6,8,5] => 1010001 => [1,1,1,3,1] => 219
[3,4,7,1,5,2,8,6] => 0010101 => [2,1,1,1,1,1] => 297
[3,6,7,4,1,5,8,2] => 0011001 => [2,2,2,1] => 211
[4,3,2,7,1,5,8,6] => 1101001 => [2,1,1,2,1] => 241
[3,1,2,8,6,5,4,7] => 1001110 => [1,2,3,1] => 185
[5,4,8,6,1,2,3,7] => 1011000 => [1,1,2,3] => 145
[5,6,8,7,4,3,1,2] => 0011110 => [2,4,1] => 81
[1,8,2,7,4,3,6,5] => 0101101 => [1,1,1,2,1,1] => 359
[6,5,8,2,3,7,1,4] => 1010010 => [1,1,1,2,1,1] => 359
[6,4,8,5,3,1,7,2] => 1011101 => [1,1,3,1,1] => 233
[5,7,8,6,1,3,2,4] => 0011010 => [2,2,1,1,1] => 255
[2,4,8,1,6,3,7,5] => 0010101 => [2,1,1,1,1,1] => 297
[3,1,2,8,6,4,7,5] => 1001101 => [1,2,2,1,1] => 295
[5,3,2,6,4,8,1,7] => 1101010 => [2,1,1,1,1,1] => 297
[4,1,6,3,5,8,2,7] => 1010010 => [1,1,1,2,1,1] => 359
[2,4,5,3,8,6,1,7] => 0010110 => [2,1,1,2,1] => 241
[1,8,5,3,2,7,6,4] => 0111011 => [1,3,1,2] => 157
[1,8,4,5,2,6,7,3] => 0101001 => [1,1,1,1,2,1] => 345
[4,1,2,7,6,5,8,3] => 1001101 => [1,2,2,1,1] => 295
[2,4,1,6,7,8,5,3] => 0100011 => [1,1,3,2] => 171
[1,8,4,3,6,2,7,5] => 0110101 => [1,2,1,1,1,1] => 345
[5,6,7,3,2,8,1,4] => 0011010 => [2,2,1,1,1] => 255
[2,5,7,3,6,8,4,1] => 0010011 => [2,1,2,2] => 180
[5,3,2,1,4,8,6,7] => 1110010 => [3,2,1,1] => 145
[5,3,1,4,2,8,6,7] => 1101010 => [2,1,1,1,1,1] => 297
[7,6,1,3,8,5,4,2] => 1100111 => [2,2,3] => 105
[3,4,7,8,1,2,6,5] => 0001001 => [3,1,2,1] => 137
[3,6,7,8,1,4,5,2] => 0001001 => [3,1,2,1] => 137
[3,6,2,8,1,5,4,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,3,6,8,5,1,4,7] => 0001100 => [3,2,2] => 105
[3,1,6,4,8,2,5,7] => 1010100 => [1,1,1,1,1,2] => 297
[7,3,2,6,8,5,1,4] => 1100110 => [2,2,2,1] => 211
[7,3,5,8,4,6,1,2] => 1001010 => [1,2,1,1,1,1] => 345
[7,5,2,8,4,1,6,3] => 1101101 => [2,1,2,1,1] => 252
[7,4,5,8,2,1,3,6] => 1001100 => [1,2,2,2] => 211
[1,8,5,2,4,6,3,7] => 0110010 => [1,2,2,1,1] => 295
[1,8,4,2,3,5,7,6] => 0110001 => [1,2,3,1] => 185
[6,4,2,8,3,5,1,7] => 1101010 => [2,1,1,1,1,1] => 297
[6,3,4,8,2,5,7,1] => 1001001 => [1,2,1,2,1] => 281
[7,5,4,8,3,6,2,1] => 1101011 => [2,1,1,1,2] => 207
[2,7,4,8,5,3,6,1] => 0101101 => [1,1,1,2,1,1] => 359
[7,1,5,4,8,3,6,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,3,2,5,8,4,6,1] => 1100101 => [2,2,1,1,1] => 255
[8,4,6,3,7,2,5,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,4,6,3,8,5,1,2] => 1010110 => [1,1,1,1,2,1] => 345
[2,5,6,8,3,4,1,7] => 0001010 => [3,1,1,1,1] => 165
[8,4,6,2,7,5,3,1] => 1010111 => [1,1,1,1,3] => 165
[8,5,6,7,2,4,3,1] => 1001011 => [1,2,1,1,2] => 241
[2,5,6,8,4,3,1,7] => 0001110 => [3,3,1] => 95
[2,5,7,8,4,1,3,6] => 0001100 => [3,2,2] => 105
[6,5,7,8,4,1,3,2] => 1001101 => [1,2,2,1,1] => 295
[7,5,6,8,2,4,1,3] => 1001010 => [1,2,1,1,1,1] => 345
[7,4,6,2,8,5,1,3] => 1010110 => [1,1,1,1,2,1] => 345
[4,3,2,6,8,5,1,7] => 1100110 => [2,2,2,1] => 211
[3,5,6,8,2,4,1,7] => 0001010 => [3,1,1,1,1] => 165
[3,5,6,8,4,2,1,7] => 0001110 => [3,3,1] => 95
[2,6,7,8,1,4,5,3] => 0001001 => [3,1,2,1] => 137
[3,6,7,8,1,4,2,5] => 0001010 => [3,1,1,1,1] => 165
[3,5,7,8,2,1,4,6] => 0001100 => [3,2,2] => 105
[2,6,7,8,1,4,3,5] => 0001010 => [3,1,1,1,1] => 165
[6,5,7,8,3,1,4,2] => 1001101 => [1,2,2,1,1] => 295
[2,5,7,8,3,1,4,6] => 0001100 => [3,2,2] => 105
[2,4,7,3,8,1,5,6] => 0010100 => [2,1,1,1,2] => 207
[6,4,7,3,8,1,5,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,4,7,3,8,1,2,5] => 1010100 => [1,1,1,1,1,2] => 297
[7,4,6,3,8,2,1,5] => 1010110 => [1,1,1,1,2,1] => 345
[6,3,2,5,4,8,1,7] => 1101010 => [2,1,1,1,1,1] => 297
[6,4,5,2,3,8,1,7] => 1010010 => [1,1,1,2,1,1] => 359
[6,4,5,3,2,8,1,7] => 1011010 => [1,1,2,1,1,1] => 359
[5,4,6,3,8,2,1,7] => 1010110 => [1,1,1,1,2,1] => 345
[5,4,7,3,8,1,6,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[2,5,7,8,3,1,6,4] => 0001101 => [3,2,1,1] => 145
[4,5,7,8,3,1,2,6] => 0001100 => [3,2,2] => 105
[4,5,6,8,2,3,1,7] => 0001010 => [3,1,1,1,1] => 165
[5,4,6,2,8,3,1,7] => 1010110 => [1,1,1,1,2,1] => 345
[5,3,2,6,8,4,1,7] => 1100110 => [2,2,2,1] => 211
[5,4,7,2,8,1,3,6] => 1010100 => [1,1,1,1,1,2] => 297
[4,5,7,8,2,1,3,6] => 0001100 => [3,2,2] => 105
[4,6,7,8,1,3,2,5] => 0001010 => [3,1,1,1,1] => 165
[4,6,7,8,1,3,5,2] => 0001001 => [3,1,2,1] => 137
[2,6,7,8,1,3,5,4] => 0001001 => [3,1,2,1] => 137
[2,6,7,8,1,5,3,4] => 0001010 => [3,1,1,1,1] => 165
[4,6,7,8,1,5,2,3] => 0001010 => [3,1,1,1,1] => 165
[4,6,7,8,1,2,5,3] => 0001001 => [3,1,2,1] => 137
[4,5,7,8,2,1,6,3] => 0001101 => [3,2,1,1] => 145
[5,4,7,2,8,1,6,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,3,2,7,8,1,6,4] => 1100101 => [2,2,1,1,1] => 255
[4,3,2,7,8,1,6,5] => 1100101 => [2,2,1,1,1] => 255
[3,5,7,8,2,1,6,4] => 0001101 => [3,2,1,1] => 145
[3,6,7,8,1,2,5,4] => 0001001 => [3,1,2,1] => 137
[3,6,7,8,1,5,2,4] => 0001010 => [3,1,1,1,1] => 165
[3,6,7,8,1,5,4,2] => 0001011 => [3,1,1,2] => 117
[2,6,7,8,1,5,4,3] => 0001011 => [3,1,1,2] => 117
[3,4,5,6,7,8,9,1,2,10] => 000000100 => [6,1,2] => 119
[2,4,5,6,7,8,1,3,9] => 00000100 => [5,1,2] => 83
[3,4,5,6,7,1,8,2,9] => 00001010 => [4,1,1,1,1] => 275
[1,3,5,6,7,8,9,2,4] => 00000010 => [6,1,1] => 35
[1,4,5,6,7,8,2,9,3] => 00000101 => [5,1,1,1] => 110
[1,4,5,6,7,8,9,10,2,3] => 000000010 => [7,1,1] => 44
[4,2,7,1,5,3,8,6] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,2,8,6,1,5,3,7] => 1011010 => [1,1,2,1,1,1] => 359
[3,2,6,7,5,1,4,8] => 1001100 => [1,2,2,2] => 211
[2,7,1,3,5,4,8,6] => 0100101 => [1,1,2,1,1,1] => 359
[4,7,2,1,5,8,6,3] => 0110011 => [1,2,2,2] => 211
[7,2,1,3,5,8,6,4] => 1100011 => [2,3,2] => 126
[2,3,6,4,7,1,5,8] => 0010100 => [2,1,1,1,2] => 207
[1,3,4,8,2,7,5,6] => 0001010 => [3,1,1,1,1] => 165
[3,1,4,8,2,6,7,5] => 1001001 => [1,2,1,2,1] => 281
[8,3,1,6,2,5,7,4] => 1101001 => [2,1,1,2,1] => 241
[4,8,6,2,1,5,7,3] => 0111001 => [1,3,2,1] => 185
[4,8,3,6,5,1,7,2] => 0101101 => [1,1,1,2,1,1] => 359
[6,4,7,3,5,1,8,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,4,7,5,1,8,2,3] => 1011010 => [1,1,2,1,1,1] => 359
[3,6,1,7,5,8,2,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[7,3,5,1,6,8,2,4] => 1010010 => [1,1,1,2,1,1] => 359
[4,7,3,5,6,1,8,2] => 0100101 => [1,1,2,1,1,1] => 359
[3,4,6,8,5,1,7,2] => 0001101 => [3,2,1,1] => 145
[4,6,8,2,1,5,7,3] => 0011001 => [2,2,2,1] => 211
[6,8,2,1,3,5,7,4] => 0110001 => [1,2,3,1] => 185
[1,8,2,3,5,7,4,6] => 0100010 => [1,1,3,1,1] => 233
[2,7,3,6,1,4,5,8] => 0101000 => [1,1,1,1,3] => 165
[2,6,1,3,5,8,4,7] => 0100010 => [1,1,3,1,1] => 233
[7,3,2,5,6,1,4,8] => 1100100 => [2,2,1,2] => 180
[4,7,5,2,6,1,3,8] => 0110100 => [1,2,1,1,2] => 241
[4,6,2,8,1,5,3,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[8,4,1,2,7,5,3,6] => 1100110 => [2,2,2,1] => 211
[4,5,6,2,7,1,3,8] => 0010100 => [2,1,1,1,2] => 207
[8,5,1,2,6,3,4,7] => 1100100 => [2,2,1,2] => 180
[1,6,2,7,4,8,3,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[6,2,1,7,8,5,3,4] => 1100110 => [2,2,2,1] => 211
[6,7,3,8,4,1,5,2] => 0101101 => [1,1,1,2,1,1] => 359
[2,7,8,4,1,5,6,3] => 0011001 => [2,2,2,1] => 211
[2,7,1,8,5,6,3,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[8,2,5,1,6,7,3,4] => 1010010 => [1,1,1,2,1,1] => 359
[8,2,4,5,1,6,7,3] => 1001001 => [1,2,1,2,1] => 281
[3,8,4,5,6,1,7,2] => 0100101 => [1,1,2,1,1,1] => 359
[4,5,8,3,6,7,1,2] => 0010010 => [2,1,2,1,1] => 252
[4,5,8,3,7,6,1,2] => 0010110 => [2,1,1,2,1] => 241
[4,2,8,3,7,1,6,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,2,3,4,8,1,6,5] => 1000101 => [1,3,1,1,1] => 219
[7,2,3,4,8,1,5,6] => 1000100 => [1,3,1,2] => 157
[7,6,3,4,8,5,1,2] => 1100110 => [2,2,2,1] => 211
[7,6,3,5,8,4,1,2] => 1100110 => [2,2,2,1] => 211
[7,6,3,8,4,5,1,2] => 1101010 => [2,1,1,1,1,1] => 297
[7,2,3,8,5,1,4,6] => 1001100 => [1,2,2,2] => 211
[7,2,3,8,5,1,6,4] => 1001101 => [1,2,2,1,1] => 295
[2,6,4,8,1,5,7,3] => 0101001 => [1,1,1,1,2,1] => 345
[7,2,3,8,4,1,5,6] => 1001100 => [1,2,2,2] => 211
[7,2,3,5,8,1,4,6] => 1000100 => [1,3,1,2] => 157
[7,8,2,3,6,1,4,5] => 0100100 => [1,1,2,1,2] => 252
[7,8,2,3,6,1,5,4] => 0100101 => [1,1,2,1,1,1] => 359
[4,2,6,3,7,1,5,8] => 1010100 => [1,1,1,1,1,2] => 297
[7,2,3,5,8,1,6,4] => 1000101 => [1,3,1,1,1] => 219
[7,2,3,8,4,1,6,5] => 1001101 => [1,2,2,1,1] => 295
[2,6,4,8,1,3,7,5] => 0101001 => [1,1,1,1,2,1] => 345
[3,6,4,8,1,7,5,2] => 0101011 => [1,1,1,1,1,2] => 297
[7,6,5,1,2,3,8,4] => 1110001 => [3,3,1] => 95
[7,6,5,1,4,2,8,3] => 1110101 => [3,1,1,1,1] => 165
[2,6,4,5,1,8,7,3] => 0101011 => [1,1,1,1,1,2] => 297
[3,5,6,4,1,2,7,8] => 0011000 => [2,2,3] => 105
[7,8,5,4,1,2,6,3] => 0111001 => [1,3,2,1] => 185
[3,5,6,4,1,2,8,7] => 0011001 => [2,2,2,1] => 211
[7,6,5,1,4,2,3,8] => 1110100 => [3,1,1,2] => 117
[7,6,5,1,2,4,3,8] => 1110010 => [3,2,1,1] => 145
[7,6,5,1,2,4,8,3] => 1110001 => [3,3,1] => 95
[7,6,5,1,3,2,8,4] => 1110101 => [3,1,1,1,1] => 165
[7,6,5,1,3,2,4,8] => 1110100 => [3,1,1,2] => 117
[7,6,5,1,3,4,2,8] => 1110010 => [3,2,1,1] => 145
[7,2,3,4,5,1,8,6] => 1000101 => [1,3,1,1,1] => 219
[2,6,4,3,1,5,8,7] => 0111001 => [1,3,2,1] => 185
[2,6,4,3,1,8,5,7] => 0111010 => [1,3,1,1,1] => 219
[2,6,4,3,1,8,7,5] => 0111011 => [1,3,1,2] => 157
[3,5,8,4,1,2,7,6] => 0011001 => [2,2,2,1] => 211
[3,5,8,4,1,2,6,7] => 0011000 => [2,2,3] => 105
[3,5,8,4,1,6,2,7] => 0011010 => [2,2,1,1,1] => 255
[4,2,8,3,6,1,7,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[3,5,8,4,1,6,7,2] => 0011001 => [2,2,2,1] => 211
[2,5,8,4,1,7,3,6] => 0011010 => [2,2,1,1,1] => 255
[3,6,4,2,1,7,8,5] => 0111001 => [1,3,2,1] => 185
[3,6,4,2,1,7,5,8] => 0111010 => [1,3,1,1,1] => 219
[3,5,6,4,1,8,7,2] => 0011011 => [2,2,1,2] => 180
[2,6,4,5,1,3,7,8] => 0101000 => [1,1,1,1,3] => 165
[7,6,5,1,4,3,8,2] => 1110101 => [3,1,1,1,1] => 165
[7,6,5,1,2,8,4,3] => 1110011 => [3,2,2] => 105
[7,6,5,1,2,8,3,4] => 1110010 => [3,2,1,1] => 145
[7,6,5,1,8,2,4,3] => 1110101 => [3,1,1,1,1] => 165
[7,6,5,1,8,2,3,4] => 1110100 => [3,1,1,2] => 117
[7,6,5,1,8,3,2,4] => 1110110 => [3,1,2,1] => 137
[7,6,5,1,4,8,2,3] => 1110010 => [3,2,1,1] => 145
[3,6,4,5,1,7,2,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,5,6,4,1,7,8,3] => 0011001 => [2,2,2,1] => 211
[7,8,5,4,1,6,3,2] => 0111011 => [1,3,1,2] => 157
[2,5,6,4,1,7,3,8] => 0011010 => [2,2,1,1,1] => 255
[3,6,4,5,1,7,8,2] => 0101001 => [1,1,1,1,2,1] => 345
[7,6,5,1,4,8,3,2] => 1110011 => [3,2,2] => 105
[7,6,5,1,8,3,4,2] => 1110101 => [3,1,1,1,1] => 165
[7,6,5,1,8,4,2,3] => 1110110 => [3,1,2,1] => 137
[4,1,7,6,2,8,5,3] => 1011011 => [1,1,2,1,2] => 252
[7,8,6,2,1,3,5,4] => 0111001 => [1,3,2,1] => 185
[3,7,6,1,2,8,4,5] => 0110010 => [1,2,2,1,1] => 295
[2,6,5,3,1,4,8,7] => 0111001 => [1,3,2,1] => 185
[4,6,1,5,3,2,8,7] => 0101101 => [1,1,1,2,1,1] => 359
[3,6,1,4,2,5,8,7] => 0101001 => [1,1,1,1,2,1] => 345
[2,6,4,5,7,8,1,3] => 0100010 => [1,1,3,1,1] => 233
[8,7,1,6,5,2,4,3] => 1101101 => [2,1,2,1,1] => 252
[7,2,5,6,8,1,3,4] => 1000100 => [1,3,1,2] => 157
[6,1,3,4,2,8,7,5] => 1001011 => [1,2,1,1,2] => 241
[2,4,5,6,1,8,7,3] => 0001011 => [3,1,1,2] => 117
[8,4,1,6,5,7,3,2] => 1101011 => [2,1,1,1,2] => 207
[2,8,3,4,7,5,1,6] => 0100110 => [1,1,2,2,1] => 295
[6,8,2,7,4,3,5,1] => 0101101 => [1,1,1,2,1,1] => 359
[4,7,8,5,1,6,3,2] => 0011011 => [2,2,1,2] => 180
[8,2,6,4,7,3,5,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,8,6,1,7,3,2,5] => 0110110 => [1,2,1,2,1] => 281
[8,7,3,2,1,5,4,6] => 1111010 => [4,1,1,1] => 75
[3,8,5,1,7,2,4,6] => 0110100 => [1,2,1,1,2] => 241
[6,8,7,1,3,2,4,5] => 0110100 => [1,2,1,1,2] => 241
[2,5,1,8,7,4,6,3] => 0101101 => [1,1,1,2,1,1] => 359
[3,7,1,8,4,5,6,2] => 0101001 => [1,1,1,1,2,1] => 345
[6,2,3,8,4,7,5,1] => 1001011 => [1,2,1,1,2] => 241
[8,6,4,3,1,7,2,5] => 1111010 => [4,1,1,1] => 75
[8,3,7,4,6,1,2,5] => 1010100 => [1,1,1,1,1,2] => 297
[7,1,3,8,6,4,5,2] => 1001101 => [1,2,2,1,1] => 295
[2,3,5,8,6,7,4,1] => 0001011 => [3,1,1,2] => 117
[7,4,2,1,8,6,5,3] => 1110111 => [3,1,3] => 69
[4,6,7,2,5,8,3,1] => 0010011 => [2,1,2,2] => 180
[7,6,2,5,3,8,1,4] => 1101010 => [2,1,1,1,1,1] => 297
[6,2,1,3,4,8,7,5] => 1100011 => [2,3,2] => 126
[6,5,4,2,8,3,1,7] => 1110110 => [3,1,2,1] => 137
[5,4,3,1,8,7,2,6] => 1110110 => [3,1,2,1] => 137
[6,1,4,3,8,5,2,7] => 1010110 => [1,1,1,1,2,1] => 345
[4,7,6,2,8,1,5,3] => 0110101 => [1,2,1,1,1,1] => 345
[6,4,5,1,7,8,3,2] => 1010011 => [1,1,1,2,2] => 255
[4,2,3,1,7,8,6,5] => 1010011 => [1,1,1,2,2] => 255
[3,4,2,1,8,6,7,5] => 0110101 => [1,2,1,1,1,1] => 345
[2,7,6,8,1,5,3,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[6,4,5,8,3,1,2,7] => 1001100 => [1,2,2,2] => 211
[8,1,3,2,5,6,7,4] => 1010001 => [1,1,1,3,1] => 219
[3,6,8,1,5,2,4,7] => 0010100 => [2,1,1,1,2] => 207
[3,2,8,7,4,5,1,6] => 1011010 => [1,1,2,1,1,1] => 359
[6,3,8,5,7,4,2,1] => 1010111 => [1,1,1,1,3] => 165
[7,4,6,8,5,1,2,3] => 1001100 => [1,2,2,2] => 211
[2,1,4,8,7,5,3,6] => 1001110 => [1,2,3,1] => 185
[2,1,6,8,3,7,5,4] => 1001011 => [1,2,1,1,2] => 241
[3,6,8,2,4,1,5,7] => 0010100 => [2,1,1,1,2] => 207
[6,2,8,1,7,5,4,3] => 1010111 => [1,1,1,1,3] => 165
[2,6,5,4,8,1,3,7] => 0110100 => [1,2,1,1,2] => 241
[6,5,3,4,8,1,7,2] => 1100101 => [2,2,1,1,1] => 255
[8,4,3,2,5,1,7,6] => 1110101 => [3,1,1,1,1] => 165
[4,2,8,1,5,3,6,7] => 1010100 => [1,1,1,1,1,2] => 297
[5,1,8,2,6,4,3,7] => 1010110 => [1,1,1,1,2,1] => 345
[7,4,8,6,2,1,3,5] => 1011100 => [1,1,3,2] => 171
[4,6,2,8,3,7,5,1] => 0101011 => [1,1,1,1,1,2] => 297
[2,1,5,8,3,6,4,7] => 1001010 => [1,2,1,1,1,1] => 345
[2,8,5,3,6,7,1,4] => 0110010 => [1,2,2,1,1] => 295
[7,8,5,6,4,1,3,2] => 0101101 => [1,1,1,2,1,1] => 359
[5,8,4,1,6,3,7,2] => 0110101 => [1,2,1,1,1,1] => 345
[4,8,1,3,5,7,6,2] => 0100011 => [1,1,3,2] => 171
[3,8,1,4,5,6,2,7] => 0100010 => [1,1,3,1,1] => 233
[9,7,8,5,6,3,1,4,2] => 10101101 => [1,1,1,1,2,1,1] => 1220
[9,7,8,5,3,6,1,4,2] => 10110101 => [1,1,2,1,1,1,1] => 1220
[9,7,5,8,3,6,1,4,2] => 11010101 => [2,1,1,1,1,1,1] => 1001
[7,9,5,8,3,6,1,4,2] => 01010101 => [1,1,1,1,1,1,1,1] => 1430
[7,6,8,3,5,1,4,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,9,5,7,3,6,1,4,2] => 01010101 => [1,1,1,1,1,1,1,1] => 1430
[8,9,6,7,3,5,1,4,2] => 01010101 => [1,1,1,1,1,1,1,1] => 1430
[8,9,6,7,4,5,1,3,2] => 01010101 => [1,1,1,1,1,1,1,1] => 1430
[8,9,6,7,4,5,2,3,1] => 01010101 => [1,1,1,1,1,1,1,1] => 1430
[9,10,7,8,5,6,3,1,4,2] => 010101101 => [1,1,1,1,1,2,1,1] => 4202
[9,7,8,5,3,1,6,4,2] => 10111011 => [1,1,3,1,2] => 609
[9,10,7,8,5,3,6,1,4,2] => 010110101 => [1,1,1,2,1,1,1,1] => 4274
[9,7,5,3,8,6,1,4,2] => 11101101 => [3,1,2,1,1] => 502
[9,10,7,5,8,3,6,1,4,2] => 011010101 => [1,2,1,1,1,1,1,1] => 4004
[7,5,9,8,3,6,1,4,2] => 10110101 => [1,1,2,1,1,1,1] => 1220
[9,7,10,5,8,3,6,1,4,2] => 101010101 => [1,1,1,1,1,1,1,1,1] => 4862
[7,8,6,3,5,1,4,2] => 0110101 => [1,2,1,1,1,1] => 345
[5,3,8,7,6,1,4,2] => 1011101 => [1,1,3,1,1] => 233
[9,8,5,7,3,6,1,4,2] => 11010101 => [2,1,1,1,1,1,1] => 1001
[10,7,9,5,8,3,6,1,4,2] => 101010101 => [1,1,1,1,1,1,1,1,1] => 4862
[7,9,6,8,3,5,1,4,2] => 01010101 => [1,1,1,1,1,1,1,1] => 1430
[10,8,9,5,7,3,6,1,4,2] => 101010101 => [1,1,1,1,1,1,1,1,1] => 4862
[6,5,8,4,7,1,3,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,9,5,7,4,6,1,3,2] => 01010101 => [1,1,1,1,1,1,1,1] => 1430
[10,8,9,6,7,3,5,1,4,2] => 101010101 => [1,1,1,1,1,1,1,1,1] => 4862
[8,9,6,7,3,5,2,4,1] => 01010101 => [1,1,1,1,1,1,1,1] => 1430
[10,8,9,6,7,4,5,1,3,2] => 101010101 => [1,1,1,1,1,1,1,1,1] => 4862
[6,7,4,2,5,3,1,8] => 0110110 => [1,2,1,2,1] => 281
[7,6,4,8,3,1,5,2] => 1101101 => [2,1,2,1,1] => 252
[7,4,8,5,6,1,3,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,4,2,5,6,3,1,8] => 1100110 => [2,2,2,1] => 211
[4,2,7,5,6,3,1,8] => 1010110 => [1,1,1,1,2,1] => 345
[3,4,7,5,6,2,1,8] => 0010110 => [2,1,1,2,1] => 241
[4,7,3,5,6,2,1,8] => 0100110 => [1,1,2,2,1] => 295
[3,7,2,5,6,4,1,8] => 0100110 => [1,1,2,2,1] => 295
[7,8,3,5,6,1,4,2] => 0100101 => [1,1,2,1,1,1] => 359
[1,6,8,5,2,7,4,3] => 0011011 => [2,2,1,2] => 180
[6,2,8,5,1,7,4,3] => 1011011 => [1,1,2,1,2] => 252
[6,7,4,8,2,1,5,3] => 0101101 => [1,1,1,2,1,1] => 359
[3,2,7,8,6,1,5,4] => 1001101 => [1,2,2,1,1] => 295
[6,8,4,1,2,3,7,5] => 0110001 => [1,2,3,1] => 185
[4,1,8,5,6,3,2,7] => 1010110 => [1,1,1,1,2,1] => 345
[1,8,2,5,6,4,3,7] => 0100110 => [1,1,2,2,1] => 295
[6,1,8,5,3,7,4,2] => 1011011 => [1,1,2,1,2] => 252
[3,8,1,5,2,7,6,4] => 0101011 => [1,1,1,1,1,2] => 297
[8,2,1,5,3,7,6,4] => 1101011 => [2,1,1,1,2] => 207
[1,5,2,4,6,7,8,3] => 0100001 => [1,1,4,1] => 107
[4,1,5,3,6,7,8,2] => 1010001 => [1,1,1,3,1] => 219
[8,1,6,5,3,7,2,4] => 1011010 => [1,1,2,1,1,1] => 359
[7,1,4,6,3,2,8,5] => 1001101 => [1,2,2,1,1] => 295
[3,2,6,4,1,7,8,5] => 1011001 => [1,1,2,2,1] => 295
[7,6,4,3,1,2,8,5] => 1111001 => [4,2,1] => 65
[8,6,3,5,1,7,2,4] => 1101010 => [2,1,1,1,1,1] => 297
[4,5,3,1,6,7,8,2] => 0110001 => [1,2,3,1] => 185
[3,5,2,1,6,7,8,4] => 0110001 => [1,2,3,1] => 185
[5,2,3,1,6,7,8,4] => 1010001 => [1,1,1,3,1] => 219
[1,5,3,2,6,7,8,4] => 0110001 => [1,2,3,1] => 185
[8,4,6,5,1,7,2,3] => 1011010 => [1,1,2,1,1,1] => 359
[7,5,4,6,1,2,8,3] => 1101001 => [2,1,1,2,1] => 241
[3,2,5,6,1,7,8,4] => 1001001 => [1,2,1,2,1] => 281
[3,2,8,7,6,1,4,5] => 1011100 => [1,1,3,2] => 171
[6,8,4,7,2,1,3,5] => 0101100 => [1,1,1,2,2] => 255
[3,8,7,5,6,1,2,4] => 0110100 => [1,2,1,1,2] => 241
[8,2,7,5,6,1,3,4] => 1010100 => [1,1,1,1,1,2] => 297
[4,8,6,5,1,7,3,2] => 0111011 => [1,3,1,2] => 157
[1,7,4,6,2,3,8,5] => 0101001 => [1,1,1,1,2,1] => 345
[7,6,4,2,1,5,8,3] => 1111001 => [4,2,1] => 65
[5,7,4,6,1,3,8,2] => 0101001 => [1,1,1,1,2,1] => 345
[8,6,4,7,3,1,2,5] => 1101100 => [2,1,2,2] => 180
[5,2,4,3,7,1,8,6] => 1010101 => [1,1,1,1,1,1,1] => 429
[3,5,4,2,7,1,8,6] => 0110101 => [1,2,1,1,1,1] => 345
[8,6,4,1,3,5,2,7] => 1110010 => [3,2,1,1] => 145
[6,7,4,1,5,3,8,2] => 0110101 => [1,2,1,1,1,1] => 345
[7,5,4,1,2,6,8,3] => 1110001 => [3,3,1] => 95
[1,7,4,2,3,6,8,5] => 0110001 => [1,2,3,1] => 185
[1,8,2,5,3,7,6,4] => 0101011 => [1,1,1,1,1,2] => 297
[6,8,1,5,4,7,3,2] => 0101011 => [1,1,1,1,1,2] => 297
[8,2,1,5,6,4,3,7] => 1100110 => [2,2,2,1] => 211
[3,8,1,5,6,4,2,7] => 0100110 => [1,1,2,2,1] => 295
[6,8,4,1,2,5,3,7] => 0110010 => [1,2,2,1,1] => 295
[3,2,8,1,6,5,4,7] => 1010110 => [1,1,1,1,2,1] => 345
[3,2,6,1,5,7,8,4] => 1010001 => [1,1,1,3,1] => 219
[7,6,4,1,5,2,8,3] => 1110101 => [3,1,1,1,1] => 165
[8,6,1,5,4,7,2,3] => 1101010 => [2,1,1,1,1,1] => 297
[3,5,1,4,6,7,8,2] => 0100001 => [1,1,4,1] => 107
[5,2,1,4,6,7,8,3] => 1100001 => [2,4,1] => 81
[5,4,1,3,6,7,8,2] => 1100001 => [2,4,1] => 81
[8,4,1,5,3,7,2,6] => 1101010 => [2,1,1,1,1,1] => 297
[7,5,4,1,3,2,8,6] => 1110101 => [3,1,1,1,1] => 165
[3,2,5,1,4,7,8,6] => 1010001 => [1,1,1,3,1] => 219
[7,1,4,3,5,2,8,6] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,1,3,5,4,7,2,6] => 1001010 => [1,2,1,1,1,1] => 345
[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] => 359
[8,3,2,6,1,4,7,5] => 1101001 => [2,1,1,2,1] => 241
[2,8,1,6,4,3,7,5] => 0101101 => [1,1,1,2,1,1] => 359
[2,6,1,3,8,7,5,4] => 0100111 => [1,1,2,3] => 145
[2,5,7,1,3,8,6,4] => 0010011 => [2,1,2,2] => 180
[2,6,8,1,5,7,4,3] => 0010011 => [2,1,2,2] => 180
[2,7,1,5,8,4,6,3] => 0100101 => [1,1,2,1,1,1] => 359
[2,7,1,6,4,8,3,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,7,1,6,5,3,8,4] => 0101101 => [1,1,1,2,1,1] => 359
[2,8,1,7,6,5,4,3] => 0101111 => [1,1,1,4] => 75
[8,3,2,7,1,6,5,4] => 1101011 => [2,1,1,1,2] => 207
[4,1,8,7,3,2,6,5] => 1011101 => [1,1,3,1,1] => 233
[4,1,7,2,8,6,5,3] => 1010111 => [1,1,1,1,3] => 165
[3,7,1,8,6,5,4,2] => 0101111 => [1,1,1,4] => 75
[3,7,6,1,4,2,5,8] => 0110100 => [1,2,1,1,2] => 241
[3,7,5,1,4,6,8,2] => 0110001 => [1,2,3,1] => 185
[3,6,8,5,1,4,7,2] => 0011001 => [2,2,2,1] => 211
[7,3,5,8,2,1,4,6] => 1001100 => [1,2,2,2] => 211
[7,3,6,2,1,4,5,8] => 1011000 => [1,1,2,3] => 145
[7,3,6,2,1,5,4,8] => 1011010 => [1,1,2,1,1,1] => 359
[7,4,2,8,1,6,5,3] => 1101011 => [2,1,1,1,2] => 207
[8,7,5,3,2,1,6,4] => 1111101 => [5,1,1] => 27
[7,5,2,6,3,1,4,8] => 1101100 => [2,1,2,2] => 180
[7,4,6,2,1,8,3,5] => 1011010 => [1,1,2,1,1,1] => 359
[6,8,4,5,2,1,7,3] => 0101101 => [1,1,1,2,1,1] => 359
[4,6,8,5,1,7,3,2] => 0011011 => [2,2,1,2] => 180
[4,7,5,1,3,8,6,2] => 0110011 => [1,2,2,2] => 211
[4,7,6,1,5,3,2,8] => 0110110 => [1,2,1,2,1] => 281
[5,1,7,6,3,8,2,4] => 1011010 => [1,1,2,1,1,1] => 359
[5,1,7,6,4,2,8,3] => 1011101 => [1,1,3,1,1] => 233
[5,1,8,7,6,4,3,2] => 1011111 => [1,1,5] => 27
[8,5,2,1,7,6,4,3] => 1110111 => [3,1,3] => 69
[8,5,2,1,6,3,7,4] => 1110101 => [3,1,1,1,1] => 165
[5,1,8,6,3,2,7,4] => 1011101 => [1,1,3,1,1] => 233
[3,6,1,7,4,8,2,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,1,8,6,3,7,2,5] => 1011010 => [1,1,2,1,1,1] => 359
[8,4,2,5,7,3,1,6] => 1100110 => [2,2,2,1] => 211
[3,4,6,8,5,7,1,2] => 0001010 => [3,1,1,1,1] => 165
[5,4,8,2,7,3,6,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,4,8,7,3,6,1,2] => 1011010 => [1,1,2,1,1,1] => 359
[8,5,4,7,3,6,2,1] => 1101011 => [2,1,1,1,2] => 207
[6,4,3,8,7,1,2,5] => 1101100 => [2,1,2,2] => 180
[6,3,7,2,4,8,1,5] => 1010010 => [1,1,1,2,1,1] => 359
[5,6,8,4,2,7,3,1] => 0011011 => [2,2,1,2] => 180
[5,7,4,2,8,1,3,6] => 0110100 => [1,2,1,1,2] => 241
[6,5,2,7,1,3,8,4] => 1101001 => [2,1,1,2,1] => 241
[8,6,5,4,2,1,7,3] => 1111101 => [5,1,1] => 27
[6,4,7,3,1,8,2,5] => 1011010 => [1,1,2,1,1,1] => 359
[5,7,4,3,8,6,1,2] => 0110110 => [1,2,1,2,1] => 281
[7,5,8,4,6,3,2,1] => 1010111 => [1,1,1,1,3] => 165
[7,6,4,8,3,5,2,1] => 1101011 => [2,1,1,1,2] => 207
[7,6,5,3,8,2,4,1] => 1110101 => [3,1,1,1,1] => 165
[6,5,4,3,2,1,9,8,7] => 11111011 => [5,1,2] => 83
[6,5,4,3,2,1,8,7,9] => 11111010 => [5,1,1,1] => 110
[5,4,3,2,1,9,8,7,6] => 11110111 => [4,1,3] => 125
[5,4,3,2,1,8,7,6,9] => 11110110 => [4,1,2,1] => 235
[5,4,3,2,1,7,6,9,8] => 11110101 => [4,1,1,1,1] => 275
[5,4,3,2,1,7,6,8,9] => 11110100 => [4,1,1,2] => 200
[4,3,2,1,8,7,6,5,9] => 11101110 => [3,1,3,1] => 332
[4,3,2,1,7,6,5,9,8] => 11101101 => [3,1,2,1,1] => 502
[4,3,2,1,7,6,5,8,9] => 11101100 => [3,1,2,2] => 365
[4,3,2,1,6,5,8,7,9] => 11101010 => [3,1,1,1,1,1] => 572
[4,3,2,1,6,5,7,8,9] => 11101000 => [3,1,1,3] => 242
[3,2,1,6,5,4,8,7,9] => 11011010 => [2,1,2,1,1,1] => 875
[3,2,1,6,5,4,7,8,9] => 11011000 => [2,1,2,3] => 371
[3,2,1,5,4,7,6,9,8] => 11010101 => [2,1,1,1,1,1,1] => 1001
[3,2,1,5,4,7,6,8,9] => 11010100 => [2,1,1,1,1,2] => 704
[3,2,1,5,4,6,7,8,9] => 11010000 => [2,1,1,4] => 200
[2,1,4,3,6,5,7,8,9] => 10101000 => [1,1,1,1,1,3] => 572
[2,1,4,3,5,6,7,8,9] => 10100000 => [1,1,1,5] => 110
[7,6,5,4,3,2,1,10,9,8] => 111111011 => [6,1,2] => 119
[7,6,5,4,3,2,1,9,8,10] => 111111010 => [6,1,1,1] => 154
[6,5,4,3,2,1,9,8,7,10] => 111110110 => [5,1,2,1] => 375
[6,5,4,3,2,1,8,7,9,10] => 111110100 => [5,1,1,2] => 319
[5,4,3,2,1,9,8,7,6,10] => 111101110 => [4,1,3,1] => 626
[5,4,3,2,1,8,7,6,10,9] => 111101101 => [4,1,2,1,1] => 901
[5,4,3,2,1,8,7,6,9,10] => 111101100 => [4,1,2,2] => 666
[5,4,3,2,1,7,6,9,8,10] => 111101010 => [4,1,1,1,1,1] => 1001
[5,4,3,2,1,7,6,8,9,10] => 111101000 => [4,1,1,3] => 451
[4,3,2,1,8,7,6,5,9,10] => 111011100 => [3,1,3,2] => 998
[4,3,2,1,7,6,5,10,9,8] => 111011011 => [3,1,2,1,2] => 1304
[4,3,2,1,7,6,5,8,9,10] => 111011000 => [3,1,2,3] => 802
[4,3,2,1,6,5,8,7,9,10] => 111010100 => [3,1,1,1,1,2] => 1430
[4,3,2,1,6,5,7,8,9,10] => 111010000 => [3,1,1,4] => 451
[3,2,1,6,5,4,9,8,7,10] => 110110110 => [2,1,2,1,2,1] => 2550
[3,2,1,6,5,4,8,7,10,9] => 110110101 => [2,1,2,1,1,1,1] => 3054
[3,2,1,6,5,4,8,7,9,10] => 110110100 => [2,1,2,1,1,2] => 2179
[3,2,1,6,5,4,7,8,9,10] => 110110000 => [2,1,2,4] => 681
[3,2,1,5,4,7,6,9,8,10] => 110101010 => [2,1,1,1,1,1,1,1] => 3432
[3,2,1,5,4,7,6,8,9,10] => 110101000 => [2,1,1,1,1,3] => 1430
[3,2,1,5,4,6,7,8,9,10] => 110100000 => [2,1,1,5] => 319
[2,1,4,3,6,5,8,7,9,10] => 101010100 => [1,1,1,1,1,1,1,2] => 3432
[2,1,4,3,6,5,7,8,9,10] => 101010000 => [1,1,1,1,1,4] => 1001
[2,1,4,3,5,6,7,8,9,10] => 101000000 => [1,1,1,6] => 154
[5,6,3,7,4,2,1,8] => 0101110 => [1,1,1,3,1] => 219
[7,6,3,8,5,1,4,2] => 1101101 => [2,1,2,1,1] => 252
[6,4,8,1,3,2,5,7] => 1010100 => [1,1,1,1,1,2] => 297
[7,4,8,6,3,1,5,2] => 1011101 => [1,1,3,1,1] => 233
[4,2,7,6,5,3,1,8] => 1011110 => [1,1,4,1] => 107
[3,7,2,4,6,5,1,8] => 0100110 => [1,1,2,2,1] => 295
[8,1,3,4,5,2,6,7] => 1000100 => [1,3,1,2] => 157
[1,6,8,4,2,5,3,7] => 0011010 => [2,2,1,1,1] => 255
[6,2,8,4,1,5,7,3] => 1011001 => [1,1,2,2,1] => 295
[6,7,4,8,5,1,2,3] => 0101100 => [1,1,1,2,2] => 255
[3,2,7,8,5,1,6,4] => 1001101 => [1,2,2,1,1] => 295
[3,2,8,1,5,4,6,7] => 1010100 => [1,1,1,1,1,2] => 297
[6,1,4,8,5,3,7,2] => 1001101 => [1,2,2,1,1] => 295
[1,4,8,5,2,6,7,3] => 0011001 => [2,2,2,1] => 211
[6,1,8,4,3,7,2,5] => 1011010 => [1,1,2,1,1,1] => 359
[3,7,1,4,2,5,8,6] => 0101001 => [1,1,1,1,2,1] => 345
[7,2,1,4,3,5,6,8] => 1101000 => [2,1,1,3] => 117
[4,1,5,3,6,8,2,7] => 1010010 => [1,1,1,2,1,1] => 359
[6,1,8,5,3,2,7,4] => 1011101 => [1,1,3,1,1] => 233
[7,1,4,6,3,8,5,2] => 1001011 => [1,2,1,1,2] => 241
[3,2,6,4,1,8,7,5] => 1011011 => [1,1,2,1,2] => 252
[7,6,4,3,1,8,2,5] => 1111010 => [4,1,1,1] => 75
[3,5,2,1,8,7,6,4] => 0110111 => [1,2,1,3] => 137
[1,5,3,2,8,6,4,7] => 0110110 => [1,2,1,2,1] => 281
[5,4,2,1,7,8,6,3] => 1110011 => [3,2,2] => 105
[8,2,7,6,5,1,3,4] => 1011100 => [1,1,3,2] => 171
[8,6,2,7,1,4,5,3] => 1101001 => [2,1,1,2,1] => 241
[1,7,3,6,2,8,5,4] => 0101011 => [1,1,1,1,1,2] => 297
[7,6,3,2,1,8,5,4] => 1111011 => [4,1,2] => 55
[8,6,3,7,4,1,2,5] => 1101100 => [2,1,2,2] => 180
[5,2,3,4,7,1,8,6] => 1000101 => [1,3,1,1,1] => 219
[8,6,3,1,4,5,7,2] => 1110001 => [3,3,1] => 95
[6,7,3,1,5,4,2,8] => 0110110 => [1,2,1,2,1] => 281
[5,8,3,1,2,4,7,6] => 0110001 => [1,2,3,1] => 185
[8,1,3,2,4,5,6,7] => 1010000 => [1,1,1,4] => 75
[8,4,1,7,2,3,6,5] => 1101001 => [2,1,1,2,1] => 241
[8,2,1,6,5,4,7,3] => 1101101 => [2,1,2,1,1] => 252
[3,8,1,5,6,4,7,2] => 0100101 => [1,1,2,1,1,1] => 359
[6,8,4,1,2,5,7,3] => 0110001 => [1,2,3,1] => 185
[3,2,8,1,6,5,7,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,6,4,1,5,2,3,8] => 1110100 => [3,1,1,2] => 117
[8,6,1,5,4,7,3,2] => 1101011 => [2,1,1,1,2] => 207
[3,5,1,4,6,7,2,8] => 0100010 => [1,1,3,1,1] => 233
[5,2,1,4,7,6,3,8] => 1100110 => [2,2,2,1] => 211
[4,5,8,2,1,3,7,6] => 0011001 => [2,2,2,1] => 211
[5,8,2,3,1,4,6,7] => 0101000 => [1,1,1,1,3] => 165
[4,2,1,3,5,8,7,6] => 1100011 => [2,3,2] => 126
[5,4,1,3,6,2,8,7] => 1100101 => [2,2,1,1,1] => 255
[8,5,4,1,3,6,2,7] => 1110010 => [3,2,1,1] => 145
[3,2,5,1,4,6,8,7] => 1010001 => [1,1,1,3,1] => 219
[8,1,4,3,5,6,7,2] => 1010001 => [1,1,1,3,1] => 219
[7,1,3,5,4,6,2,8] => 1001010 => [1,2,1,1,1,1] => 345
[5,1,3,4,6,2,7,8] => 1000100 => [1,3,1,2] => 157
[4,1,3,2,5,7,6,8] => 1010010 => [1,1,1,2,1,1] => 359
[3,1,4,2,6,5,8,7,9] => 10101010 => [1,1,1,1,1,1,1,1] => 1430
[3,1,5,2,6,4,8,7,9] => 10101010 => [1,1,1,1,1,1,1,1] => 1430
[3,1,5,2,7,4,8,6,9] => 10101010 => [1,1,1,1,1,1,1,1] => 1430
[3,1,5,2,7,4,6,9,8] => 10101001 => [1,1,1,1,1,2,1] => 1166
[3,1,5,2,4,7,6,9,8] => 10100101 => [1,1,1,2,1,1,1] => 1234
[3,1,2,5,4,7,6,9,8] => 10010101 => [1,2,1,1,1,1,1] => 1166
[3,1,4,2,6,5,8,7,10,9] => 101010101 => [1,1,1,1,1,1,1,1,1] => 4862
[4,1,5,2,6,3,8,7,9] => 10101010 => [1,1,1,1,1,1,1,1] => 1430
[3,1,5,2,6,4,8,7,10,9] => 101010101 => [1,1,1,1,1,1,1,1,1] => 4862
[3,1,6,2,7,4,8,5,9] => 10101010 => [1,1,1,1,1,1,1,1] => 1430
[3,1,5,2,7,4,8,6,10,9] => 101010101 => [1,1,1,1,1,1,1,1,1] => 4862
[3,1,5,2,8,4,9,6,7] => 10101010 => [1,1,1,1,1,1,1,1] => 1430
[3,1,5,2,7,4,9,6,10,8] => 101010101 => [1,1,1,1,1,1,1,1,1] => 4862
[3,1,5,2,7,4,6,8,9] => 10101000 => [1,1,1,1,1,3] => 572
[3,1,5,2,7,4,9,6,8,10] => 101010100 => [1,1,1,1,1,1,1,2] => 3432
[3,1,5,2,4,7,9,6,8] => 10100010 => [1,1,1,3,1,1] => 842
[3,1,5,2,7,4,6,9,8,10] => 101010010 => [1,1,1,1,1,2,1,1] => 4202
[3,1,2,5,7,4,6,9,8] => 10001001 => [1,3,1,2,1] => 646
[3,1,5,2,4,7,6,9,8,10] => 101001010 => [1,1,1,2,1,1,1,1] => 4274
[1,3,5,2,4,7,6,9,8] => 00100101 => [2,1,2,1,1,1] => 875
[3,1,2,5,4,7,6,9,8,10] => 100101010 => [1,2,1,1,1,1,1,1] => 4004
[6,8,2,4,5,1,3,7] => 0100100 => [1,1,2,1,2] => 252
[4,6,7,3,1,5,2,8] => 0011010 => [2,2,1,1,1] => 255
[5,8,1,2,4,7,3,6] => 0100010 => [1,1,3,1,1] => 233
[6,8,1,3,5,2,7,4] => 0100101 => [1,1,2,1,1,1] => 359
[6,8,3,1,4,5,7,2] => 0110001 => [1,2,3,1] => 185
[7,5,1,8,2,3,6,4] => 1101001 => [2,1,1,2,1] => 241
[5,3,8,4,2,6,7,1] => 1011001 => [1,1,2,2,1] => 295
[4,1,8,3,5,7,2,6] => 1010010 => [1,1,1,2,1,1] => 359
[3,4,7,2,6,1,8,5] => 0010101 => [2,1,1,1,1,1] => 297
[4,5,7,2,3,6,8,1] => 0010001 => [2,1,3,1] => 157
[2,6,3,4,7,5,8,1] => 0100101 => [1,1,2,1,1,1] => 359
[4,5,2,7,1,6,8,3] => 0101001 => [1,1,1,1,2,1] => 345
[3,4,1,6,5,8,2,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[7,3,1,4,8,5,6,2] => 1100101 => [2,2,1,1,1] => 255
[5,6,3,1,7,4,2,8] => 0110110 => [1,2,1,2,1] => 281
[7,3,4,1,8,5,2,6] => 1010110 => [1,1,1,1,2,1] => 345
[6,4,2,8,7,1,5,3] => 1101101 => [2,1,2,1,1] => 252
[7,2,4,8,1,5,3,6] => 1001010 => [1,2,1,1,1,1] => 345
[4,6,3,1,7,8,5,2] => 0110011 => [1,2,2,2] => 211
[5,3,1,6,7,8,4,2] => 1100011 => [2,3,2] => 126
[4,1,6,2,7,8,5,3] => 1010011 => [1,1,1,2,2] => 255
[2,1,3,4,8,7,5,6] => 1000110 => [1,3,2,1] => 185
[4,5,6,7,8,9,1,2,3] => 00000100 => [5,1,2] => 83
[4,5,6,7,8,9,2,3,1] => 00000101 => [5,1,1,1] => 110
[5,6,7,8,9,1,2,3,4] => 00001000 => [4,1,3] => 125
[6,7,8,9,2,3,4,5,1] => 00010001 => [3,1,3,1] => 332
[8,9,6,7,5,4,3,2,1] => 01011111 => [1,1,1,5] => 110
[4,5,6,7,8,9,10,1,2,3] => 000000100 => [6,1,2] => 119
[4,5,6,7,8,9,10,2,3,1] => 000000101 => [6,1,1,1] => 154
[5,6,7,8,9,10,1,2,3,4] => 000001000 => [5,1,3] => 209
[5,6,7,8,9,10,3,4,1,2] => 000001010 => [5,1,1,1,1] => 429
[7,8,9,10,3,4,5,6,1,2] => 000100010 => [3,1,3,1,1] => 1330
[7,8,9,10,5,6,3,4,1,2] => 000101010 => [3,1,1,1,1,1,1] => 2002
[8,9,10,5,6,7,2,3,4,1] => 001001001 => [2,1,2,1,2,1] => 2550
[4,8,3,7,6,5,1,2] => 0101110 => [1,1,1,3,1] => 219
[6,3,8,7,5,4,1,2] => 1011110 => [1,1,4,1] => 107
[5,3,8,7,6,4,1,2] => 1011110 => [1,1,4,1] => 107
[2,8,7,6,1,5,4,3] => 0111011 => [1,3,1,2] => 157
[5,2,8,7,6,1,4,3] => 1011101 => [1,1,3,1,1] => 233
[6,2,8,7,5,1,4,3] => 1011101 => [1,1,3,1,1] => 233
[7,8,2,6,5,1,4,3] => 0101101 => [1,1,1,2,1,1] => 359
[6,1,8,7,5,4,3,2] => 1011111 => [1,1,5] => 27
[3,1,8,7,6,5,4,2] => 1011111 => [1,1,5] => 27
[7,8,2,6,1,5,4,3] => 0101011 => [1,1,1,1,1,2] => 297
[6,2,8,7,1,5,4,3] => 1011011 => [1,1,2,1,2] => 252
[4,2,8,1,7,6,5,3] => 1010111 => [1,1,1,1,3] => 165
[4,8,2,7,6,1,5,3] => 0101101 => [1,1,1,2,1,1] => 359
[3,8,7,2,1,6,5,4] => 0111011 => [1,3,1,2] => 157
[6,5,8,7,1,4,3,2] => 1011011 => [1,1,2,1,2] => 252
[4,8,1,7,6,5,3,2] => 0101111 => [1,1,1,4] => 75
[5,4,1,8,7,6,3,2] => 1101111 => [2,1,4] => 55
[6,4,8,1,7,5,3,2] => 1010111 => [1,1,1,1,3] => 165
[7,8,4,1,6,5,3,2] => 0110111 => [1,2,1,3] => 137
[7,8,3,1,6,5,4,2] => 0110111 => [1,2,1,3] => 137
[6,3,8,1,7,5,4,2] => 1010111 => [1,1,1,1,3] => 165
[5,3,1,8,7,6,4,2] => 1101111 => [2,1,4] => 55
[7,8,2,1,6,5,4,3] => 0110111 => [1,2,1,3] => 137
[6,5,3,1,8,7,4,2] => 1110111 => [3,1,3] => 69
[6,4,3,1,8,7,5,2] => 1110111 => [3,1,3] => 69
[5,4,3,1,8,7,6,2] => 1110111 => [3,1,3] => 69
[7,5,2,1,8,6,4,3] => 1110111 => [3,1,3] => 69
[5,4,2,1,8,7,6,3] => 1110111 => [3,1,3] => 69
[7,3,2,1,8,6,5,4] => 1110111 => [3,1,3] => 69
[6,3,2,1,8,7,5,4] => 1110111 => [3,1,3] => 69
[9,7,5,3,1,10,8,6,4,2] => 111101111 => [4,1,4] => 251
[8,7,5,3,1,10,9,6,4,2] => 111101111 => [4,1,4] => 251
[9,6,5,3,1,10,8,7,4,2] => 111101111 => [4,1,4] => 251
[8,6,5,3,1,10,9,7,4,2] => 111101111 => [4,1,4] => 251
[7,6,5,3,1,10,9,8,4,2] => 111101111 => [4,1,4] => 251
[9,7,4,3,1,10,8,6,5,2] => 111101111 => [4,1,4] => 251
[8,7,4,3,1,10,9,6,5,2] => 111101111 => [4,1,4] => 251
[9,6,4,3,1,10,8,7,5,2] => 111101111 => [4,1,4] => 251
[8,6,4,3,1,10,9,7,5,2] => 111101111 => [4,1,4] => 251
[7,6,4,3,1,10,9,8,5,2] => 111101111 => [4,1,4] => 251
[9,5,4,3,1,10,8,7,6,2] => 111101111 => [4,1,4] => 251
[8,5,4,3,1,10,9,7,6,2] => 111101111 => [4,1,4] => 251
[7,5,4,3,1,10,9,8,6,2] => 111101111 => [4,1,4] => 251
[6,5,4,3,1,10,9,8,7,2] => 111101111 => [4,1,4] => 251
[9,7,5,2,1,10,8,6,4,3] => 111101111 => [4,1,4] => 251
[8,7,5,2,1,10,9,6,4,3] => 111101111 => [4,1,4] => 251
[9,6,5,2,1,10,8,7,4,3] => 111101111 => [4,1,4] => 251
[8,6,5,2,1,10,9,7,4,3] => 111101111 => [4,1,4] => 251
[7,6,5,2,1,10,9,8,4,3] => 111101111 => [4,1,4] => 251
[9,7,4,2,1,10,8,6,5,3] => 111101111 => [4,1,4] => 251
[8,7,4,2,1,10,9,6,5,3] => 111101111 => [4,1,4] => 251
[9,6,4,2,1,10,8,7,5,3] => 111101111 => [4,1,4] => 251
[8,6,4,2,1,10,9,7,5,3] => 111101111 => [4,1,4] => 251
[7,6,4,2,1,10,9,8,5,3] => 111101111 => [4,1,4] => 251
[9,5,4,2,1,10,8,7,6,3] => 111101111 => [4,1,4] => 251
[8,5,4,2,1,10,9,7,6,3] => 111101111 => [4,1,4] => 251
[7,5,4,2,1,10,9,8,6,3] => 111101111 => [4,1,4] => 251
[6,5,4,2,1,10,9,8,7,3] => 111101111 => [4,1,4] => 251
[9,7,3,2,1,10,8,6,5,4] => 111101111 => [4,1,4] => 251
[8,7,3,2,1,10,9,6,5,4] => 111101111 => [4,1,4] => 251
[9,6,3,2,1,10,8,7,5,4] => 111101111 => [4,1,4] => 251
[8,6,3,2,1,10,9,7,5,4] => 111101111 => [4,1,4] => 251
[7,6,3,2,1,10,9,8,5,4] => 111101111 => [4,1,4] => 251
[9,5,3,2,1,10,8,7,6,4] => 111101111 => [4,1,4] => 251
[8,5,3,2,1,10,9,7,6,4] => 111101111 => [4,1,4] => 251
[7,5,3,2,1,10,9,8,6,4] => 111101111 => [4,1,4] => 251
[6,5,3,2,1,10,9,8,7,4] => 111101111 => [4,1,4] => 251
[9,4,3,2,1,10,8,7,6,5] => 111101111 => [4,1,4] => 251
[8,4,3,2,1,10,9,7,6,5] => 111101111 => [4,1,4] => 251
[7,4,3,2,1,10,9,8,6,5] => 111101111 => [4,1,4] => 251
[6,4,3,2,1,10,9,8,7,5] => 111101111 => [4,1,4] => 251
[6,1,4,2,3,5,8,7] => 1010001 => [1,1,1,3,1] => 219
[8,6,1,4,2,3,5,7] => 1101000 => [2,1,1,3] => 117
[6,8,1,4,2,3,5,7] => 0101000 => [1,1,1,1,3] => 165
[8,1,4,2,3,6,5,7] => 1010010 => [1,1,1,2,1,1] => 359
[4,1,8,2,3,6,5,7] => 1010010 => [1,1,1,2,1,1] => 359
[8,2,3,6,1,4,5,7] => 1001000 => [1,2,1,3] => 137
[6,2,3,8,1,4,5,7] => 1001000 => [1,2,1,3] => 137
[4,6,2,3,8,1,5,7] => 0100100 => [1,1,2,1,2] => 252
[4,8,2,3,6,1,5,7] => 0100100 => [1,1,2,1,2] => 252
[8,2,3,6,4,1,5,7] => 1001100 => [1,2,2,2] => 211
[8,4,3,6,2,1,5,7] => 1101100 => [2,1,2,2] => 180
[6,2,3,8,4,1,5,7] => 1001100 => [1,2,2,2] => 211
[8,4,2,3,6,1,5,7] => 1100100 => [2,2,1,2] => 180
[6,4,2,3,8,1,5,7] => 1100100 => [2,2,1,2] => 180
[2,6,4,3,8,1,5,7] => 0110100 => [1,2,1,1,2] => 241
[2,8,4,3,6,1,5,7] => 0110100 => [1,2,1,1,2] => 241
[2,6,3,8,4,1,5,7] => 0101100 => [1,1,1,2,2] => 255
[6,3,8,4,2,1,5,7] => 1011100 => [1,1,3,2] => 171
[2,6,3,8,1,4,5,7] => 0101000 => [1,1,1,1,3] => 165
[2,8,3,6,1,4,5,7] => 0101000 => [1,1,1,1,3] => 165
[8,3,6,4,2,1,5,7] => 1011100 => [1,1,3,2] => 171
[2,8,3,6,4,1,5,7] => 0101100 => [1,1,1,2,2] => 255
[8,3,6,2,4,1,5,7] => 1010100 => [1,1,1,1,1,2] => 297
[8,3,6,2,1,4,5,7] => 1011000 => [1,1,2,3] => 145
[6,2,1,3,8,4,5,7] => 1100100 => [2,2,1,2] => 180
[8,2,1,3,6,4,5,7] => 1100100 => [2,2,1,2] => 180
[6,3,8,2,4,1,5,7] => 1010100 => [1,1,1,1,1,2] => 297
[6,2,4,3,8,1,5,7] => 1010100 => [1,1,1,1,1,2] => 297
[3,6,4,7,8,5,1,2] => 0100110 => [1,1,2,2,1] => 295
[1,6,4,2,7,5,8,3] => 0110101 => [1,2,1,1,1,1] => 345
[3,6,4,2,7,1,5,8] => 0110100 => [1,2,1,1,2] => 241
[1,4,7,2,5,6,8,3] => 0010001 => [2,1,3,1] => 157
[6,4,8,5,3,7,1,2] => 1011010 => [1,1,2,1,1,1] => 359
[1,6,5,4,2,7,8,3] => 0111001 => [1,3,2,1] => 185
[4,2,5,3,6,1,7,8] => 1010100 => [1,1,1,1,1,2] => 297
[7,1,5,3,6,2,8,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[1,6,5,2,4,8,7,3] => 0110011 => [1,2,2,2] => 211
[1,4,6,2,8,5,7,3] => 0010101 => [2,1,1,1,1,1] => 297
[7,8,1,4,2,5,6,3] => 0101001 => [1,1,1,1,2,1] => 345
[3,4,8,5,2,1,6,7] => 0011100 => [2,3,2] => 126
[4,8,5,3,1,6,2,7] => 0111010 => [1,3,1,1,1] => 219
[6,1,3,5,8,2,7,4] => 1000101 => [1,3,1,1,1] => 219
[6,1,8,7,4,2,3,5] => 1011100 => [1,1,3,2] => 171
[1,2,8,5,7,3,6,4] => 0010101 => [2,1,1,1,1,1] => 297
[1,3,6,8,7,5,2,4] => 0001110 => [3,3,1] => 95
[1,8,2,5,4,7,6,3] => 0101011 => [1,1,1,1,1,2] => 297
[7,1,2,4,5,8,6,3] => 1000011 => [1,4,2] => 81
[1,2,7,3,5,8,6,4] => 0010011 => [2,1,2,2] => 180
[6,1,3,2,5,7,8,4] => 1010001 => [1,1,1,3,1] => 219
[4,6,2,1,7,5,3,8] => 0110110 => [1,2,1,2,1] => 281
[1,6,3,7,8,5,2,4] => 0100110 => [1,1,2,2,1] => 295
[4,6,2,3,7,8,1,5] => 0100010 => [1,1,3,1,1] => 233
[4,6,3,7,1,2,8,5] => 0101001 => [1,1,1,1,2,1] => 345
[4,2,1,3,5,7,8,6] => 1100001 => [2,4,1] => 81
[7,3,2,4,5,1,8,6] => 1100101 => [2,2,1,1,1] => 255
[3,8,2,5,4,1,7,6] => 0101101 => [1,1,1,2,1,1] => 359
[7,8,4,2,6,3,1,5] => 0110110 => [1,2,1,2,1] => 281
[4,2,6,3,8,7,1,5] => 1010110 => [1,1,1,1,2,1] => 345
[5,8,2,7,4,3,1,6] => 0101110 => [1,1,1,3,1] => 219
[4,3,8,5,1,7,2,6] => 1011010 => [1,1,2,1,1,1] => 359
[4,3,6,8,1,2,7,5] => 1001001 => [1,2,1,2,1] => 281
[6,4,3,5,2,8,1,7] => 1101010 => [2,1,1,1,1,1] => 297
[6,5,3,8,4,2,1,7] => 1101110 => [2,1,3,1] => 157
[6,1,7,2,8,3,9,4,10,5] => 101010101 => [1,1,1,1,1,1,1,1,1] => 4862
[6,1,7,8,9,10,2,3,4,5] => 100001000 => [1,4,1,3] => 709
[3,8,1,7,5,6,4,2] => 0101011 => [1,1,1,1,1,2] => 297
[8,2,5,7,3,6,4,1] => 1001011 => [1,2,1,1,2] => 241
[1,8,6,7,5,3,4,2] => 0101101 => [1,1,1,2,1,1] => 359
[8,2,6,7,5,3,4,1] => 1001101 => [1,2,2,1,1] => 295
[1,5,8,7,2,6,4,3] => 0011011 => [2,2,1,2] => 180
[5,4,8,6,2,3,7,1] => 1011001 => [1,1,2,2,1] => 295
[2,7,6,1,3,5,4,8] => 0110010 => [1,2,2,1,1] => 295
[6,4,1,8,2,5,7,3] => 1101001 => [2,1,1,2,1] => 241
[2,8,6,1,3,5,4,7] => 0110010 => [1,2,2,1,1] => 295
[4,1,3,6,5,8,7,2] => 1001011 => [1,2,1,1,2] => 241
[2,1,6,3,5,8,7,4] => 1010011 => [1,1,1,2,2] => 255
[2,4,1,3,8,5,7,6] => 0100101 => [1,1,2,1,1,1] => 359
[2,4,1,3,5,8,7,6] => 0100011 => [1,1,3,2] => 171
[2,6,1,3,5,8,7,4] => 0100011 => [1,1,3,2] => 171
[4,6,1,3,5,8,7,2] => 0100011 => [1,1,3,2] => 171
[6,1,4,3,5,8,7,2] => 1010011 => [1,1,1,2,2] => 255
[6,4,1,3,5,8,7,2] => 1100011 => [2,3,2] => 126
[6,2,1,3,5,8,7,4] => 1100011 => [2,3,2] => 126
[4,2,1,3,6,5,7,8] => 1100100 => [2,2,1,2] => 180
[4,2,1,6,3,5,7,8] => 1101000 => [2,1,1,3] => 117
[6,2,1,8,3,5,7,4] => 1101001 => [2,1,1,2,1] => 241
[6,2,1,3,8,5,7,4] => 1100101 => [2,2,1,1,1] => 255
[6,1,4,3,8,5,7,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[1,6,4,3,8,5,7,2] => 0110101 => [1,2,1,1,1,1] => 345
[8,1,4,3,6,5,7,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,4,1,3,6,5,7,2] => 1100101 => [2,2,1,1,1] => 255
[8,2,1,3,6,5,7,4] => 1100101 => [2,2,1,1,1] => 255
[8,2,1,6,3,5,7,4] => 1101001 => [2,1,1,2,1] => 241
[8,2,1,4,3,5,7,6] => 1101001 => [2,1,1,2,1] => 241
[6,2,1,4,3,5,7,8] => 1101000 => [2,1,1,3] => 117
[8,2,4,1,3,5,7,6] => 1010001 => [1,1,1,3,1] => 219
[8,2,6,1,3,5,7,4] => 1010001 => [1,1,1,3,1] => 219
[8,4,6,1,3,5,7,2] => 1010001 => [1,1,1,3,1] => 219
[8,4,1,6,3,5,7,2] => 1101001 => [2,1,1,2,1] => 241
[8,1,4,6,3,5,7,2] => 1001001 => [1,2,1,2,1] => 281
[1,8,4,6,3,5,7,2] => 0101001 => [1,1,1,1,2,1] => 345
[1,6,4,8,3,5,7,2] => 0101001 => [1,1,1,1,2,1] => 345
[6,4,1,8,3,5,7,2] => 1101001 => [2,1,1,2,1] => 241
[6,4,8,1,3,5,7,2] => 1010001 => [1,1,1,3,1] => 219
[6,2,8,1,3,5,7,4] => 1010001 => [1,1,1,3,1] => 219
[4,2,8,1,3,5,7,6] => 1010001 => [1,1,1,3,1] => 219
[2,6,8,1,3,5,7,4] => 0010001 => [2,1,3,1] => 157
[4,6,8,1,3,5,7,2] => 0010001 => [2,1,3,1] => 157
[4,6,1,8,3,5,7,2] => 0101001 => [1,1,1,1,2,1] => 345
[4,1,6,8,3,5,7,2] => 1001001 => [1,2,1,2,1] => 281
[1,4,6,3,8,5,7,2] => 0010101 => [2,1,1,1,1,1] => 297
[4,6,1,3,8,5,7,2] => 0100101 => [1,1,2,1,1,1] => 359
[2,4,1,8,3,5,7,6] => 0101001 => [1,1,1,1,2,1] => 345
[2,1,6,8,3,5,7,4] => 1001001 => [1,2,1,2,1] => 281
[4,1,3,6,8,5,7,2] => 1000101 => [1,3,1,1,1] => 219
[1,4,3,6,8,5,7,2] => 0100101 => [1,1,2,1,1,1] => 359
[4,1,3,8,6,5,7,2] => 1001101 => [1,2,2,1,1] => 295
[2,1,8,3,6,5,7,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[2,1,6,4,3,5,7,8] => 1011000 => [1,1,2,3] => 145
[2,6,1,4,3,5,7,8] => 0101000 => [1,1,1,1,3] => 165
[2,8,1,4,3,5,7,6] => 0101001 => [1,1,1,1,2,1] => 345
[2,8,1,6,3,5,7,4] => 0101001 => [1,1,1,1,2,1] => 345
[4,8,1,3,6,5,7,2] => 0100101 => [1,1,2,1,1,1] => 359
[1,4,8,3,6,5,7,2] => 0010101 => [2,1,1,1,1,1] => 297
[1,4,8,6,3,5,7,2] => 0011001 => [2,2,2,1] => 211
[4,1,8,6,3,5,7,2] => 1011001 => [1,1,2,2,1] => 295
[4,8,1,6,3,5,7,2] => 0101001 => [1,1,1,1,2,1] => 345
[4,8,6,1,3,5,7,2] => 0110001 => [1,2,3,1] => 185
[2,8,6,1,3,5,7,4] => 0110001 => [1,2,3,1] => 185
[2,8,4,1,3,5,7,6] => 0110001 => [1,2,3,1] => 185
[2,6,4,1,3,5,7,8] => 0110000 => [1,2,4] => 65
[4,6,2,1,3,5,7,8] => 0110000 => [1,2,4] => 65
[6,8,1,4,3,5,7,2] => 0101001 => [1,1,1,1,2,1] => 345
[6,1,8,4,3,5,7,2] => 1011001 => [1,1,2,2,1] => 295
[1,6,8,4,3,5,7,2] => 0011001 => [2,2,2,1] => 211
[1,8,6,4,3,5,7,2] => 0111001 => [1,3,2,1] => 185
[8,1,6,4,3,5,7,2] => 1011001 => [1,1,2,2,1] => 295
[8,6,1,4,3,5,7,2] => 1101001 => [2,1,1,2,1] => 241
[8,6,4,1,3,5,7,2] => 1110001 => [3,3,1] => 95
[8,6,2,1,3,5,7,4] => 1110001 => [3,3,1] => 95
[8,4,2,1,3,5,7,6] => 1110001 => [3,3,1] => 95
[7,8,6,5,2,1,4,3] => 0111101 => [1,4,1,1] => 107
[5,7,4,1,8,6,3,2] => 0110111 => [1,2,1,3] => 137
[5,6,4,2,8,3,7,1] => 0110101 => [1,2,1,1,1,1] => 345
[5,6,4,2,7,3,1,8] => 0110110 => [1,2,1,2,1] => 281
[5,7,1,4,6,3,2,8] => 0100110 => [1,1,2,2,1] => 295
[5,8,1,4,6,3,7,2] => 0100101 => [1,1,2,1,1,1] => 359
[3,6,7,4,5,8,2,1] => 0010011 => [2,1,2,2] => 180
[3,5,7,4,6,8,2,1] => 0010011 => [2,1,2,2] => 180
[6,8,4,1,7,2,5,3] => 0110101 => [1,2,1,1,1,1] => 345
[5,4,6,1,7,8,3,2] => 1010011 => [1,1,1,2,2] => 255
[5,6,4,1,8,7,3,2] => 0110111 => [1,2,1,3] => 137
[3,5,8,4,6,7,2,1] => 0010011 => [2,1,2,2] => 180
[3,6,8,4,5,7,2,1] => 0010011 => [2,1,2,2] => 180
[3,7,8,4,5,6,2,1] => 0010011 => [2,1,2,2] => 180
[6,8,1,4,5,3,7,2] => 0100101 => [1,1,2,1,1,1] => 359
[6,7,1,4,5,3,2,8] => 0100110 => [1,1,2,2,1] => 295
[3,7,1,5,4,6,2,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,8,1,5,4,6,7,2] => 0101001 => [1,1,1,1,2,1] => 345
[3,7,1,5,4,6,8,2] => 0101001 => [1,1,1,1,2,1] => 345
[6,7,1,4,5,3,8,2] => 0100101 => [1,1,2,1,1,1] => 359
[5,7,1,4,6,3,8,2] => 0100101 => [1,1,2,1,1,1] => 359
[5,6,4,2,7,3,8,1] => 0110101 => [1,2,1,1,1,1] => 345
[5,4,7,2,8,3,1,6] => 1010110 => [1,1,1,1,2,1] => 345
[5,4,7,2,8,3,6,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,6,4,2,8,3,1,7] => 0110110 => [1,2,1,2,1] => 281
[5,8,1,4,6,3,2,7] => 0100110 => [1,1,2,2,1] => 295
[3,8,1,5,4,6,2,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,6,1,5,4,2,7,8] => 0101100 => [1,1,1,2,2] => 255
[3,6,1,5,4,8,2,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[6,8,3,1,4,2,5,7] => 0110100 => [1,2,1,1,2] => 241
[7,3,8,1,4,2,5,6] => 1010100 => [1,1,1,1,1,2] => 297
[6,7,3,1,4,2,8,5] => 0110101 => [1,2,1,1,1,1] => 345
[3,6,1,5,4,7,8,2] => 0101001 => [1,1,1,1,2,1] => 345
[3,4,1,2,7,6,5,8] => 0100110 => [1,1,2,2,1] => 295
[3,4,1,2,6,8,7,5] => 0100011 => [1,1,3,2] => 171
[6,8,3,1,4,7,2,5] => 0110010 => [1,2,2,1,1] => 295
[6,4,7,2,8,5,1,3] => 1010110 => [1,1,1,1,2,1] => 345
[5,8,1,4,7,3,2,6] => 0100110 => [1,1,2,2,1] => 295
[7,8,1,4,5,3,2,6] => 0100110 => [1,1,2,2,1] => 295
[3,8,1,5,4,7,2,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,6,1,5,4,8,7,2] => 0101011 => [1,1,1,1,1,2] => 297
[3,6,1,5,4,7,2,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[6,7,3,1,4,2,5,8] => 0110100 => [1,2,1,1,2] => 241
[6,8,3,1,4,2,7,5] => 0110101 => [1,2,1,1,1,1] => 345
[7,8,3,1,4,6,2,5] => 0110010 => [1,2,2,1,1] => 295
[7,8,4,2,6,5,1,3] => 0110110 => [1,2,1,2,1] => 281
[6,5,8,7,3,4,2,1] => 1011011 => [1,1,2,1,2] => 252
[7,8,3,1,4,6,5,2] => 0110011 => [1,2,2,2] => 211
[6,7,3,1,4,5,2,8] => 0110010 => [1,2,2,1,1] => 295
[3,7,1,5,4,2,6,8] => 0101100 => [1,1,1,2,2] => 255
[3,8,1,5,4,2,7,6] => 0101101 => [1,1,1,2,1,1] => 359
[5,8,1,4,7,3,6,2] => 0100101 => [1,1,2,1,1,1] => 359
[6,8,4,2,7,5,3,1] => 0110111 => [1,2,1,3] => 137
[6,4,7,2,8,5,3,1] => 1010111 => [1,1,1,1,3] => 165
[6,3,7,1,4,8,5,2] => 1010011 => [1,1,1,2,2] => 255
[6,8,3,1,4,7,5,2] => 0110011 => [1,2,2,2] => 211
[3,7,1,5,4,8,6,2] => 0101011 => [1,1,1,1,1,2] => 297
[3,4,1,2,8,5,7,6] => 0100101 => [1,1,2,1,1,1] => 359
[3,4,1,2,5,8,7,6] => 0100011 => [1,1,3,2] => 171
[3,7,1,5,4,2,8,6] => 0101101 => [1,1,1,2,1,1] => 359
[6,7,3,1,4,5,8,2] => 0110001 => [1,2,3,1] => 185
[7,3,8,1,4,5,2,6] => 1010010 => [1,1,1,2,1,1] => 359
[7,3,8,1,4,5,6,2] => 1010001 => [1,1,1,3,1] => 219
[6,8,3,1,4,5,2,7] => 0110010 => [1,2,2,1,1] => 295
[3,8,1,5,4,2,6,7] => 0101100 => [1,1,1,2,2] => 255
[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] => 137
[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] => 157
[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] => 107
[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] => 35
[10,9,8,7,6,5,4,2,1,3] => 111111110 => [8,1] => 9
[9,8,7,6,5,2,4,1,3] => 11111010 => [5,1,1,1] => 110
[10,9,8,7,6,5,3,2,1,4] => 111111110 => [8,1] => 9
[9,8,7,6,3,5,2,1,4] => 11110110 => [4,1,2,1] => 235
[10,9,8,7,6,4,3,2,1,5] => 111111110 => [8,1] => 9
[8,7,6,2,5,4,1,3] => 1110110 => [3,1,2,1] => 137
[9,8,7,4,6,3,2,1,5] => 11101110 => [3,1,3,1] => 332
[10,9,8,7,5,4,3,2,1,6] => 111111110 => [8,1] => 9
[8,5,4,7,3,2,1,6] => 1101110 => [2,1,3,1] => 157
[8,7,3,6,5,2,1,4] => 1101110 => [2,1,3,1] => 157
[9,8,5,7,4,3,2,1,6] => 11011110 => [2,1,4,1] => 303
[10,9,8,6,5,4,3,2,1,7] => 111111110 => [8,1] => 9
[6,5,8,4,3,2,1,7] => 1011110 => [1,1,4,1] => 107
[8,4,7,6,3,2,1,5] => 1011110 => [1,1,4,1] => 107
[9,6,8,5,4,3,2,1,7] => 10111110 => [1,1,5,1] => 170
[10,9,7,6,5,4,3,2,1,8] => 111111110 => [8,1] => 9
[5,8,7,4,3,2,1,6] => 0111110 => [1,5,1] => 37
[10,8,7,6,5,4,3,2,1,9] => 111111110 => [8,1] => 9
[5,8,6,2,3,4,7,1] => 0110001 => [1,2,3,1] => 185
[4,5,2,7,3,1,8,6] => 0101101 => [1,1,1,2,1,1] => 359
[4,8,2,6,3,5,7,1] => 0101001 => [1,1,1,1,2,1] => 345
[4,3,7,8,6,5,1,2] => 1001110 => [1,2,3,1] => 185
[4,1,7,2,5,8,6,3] => 1010011 => [1,1,1,2,2] => 255
[7,8,2,1,5,6,4,3] => 0110011 => [1,2,2,2] => 211
[1,6,2,5,8,4,3,7] => 0100110 => [1,1,2,2,1] => 295
[2,1,8,7,4,5,3,6] => 1011010 => [1,1,2,1,1,1] => 359
[7,3,1,6,8,5,2,4] => 1100110 => [2,2,2,1] => 211
[1,5,8,6,2,3,7,4] => 0011001 => [2,2,2,1] => 211
[2,4,8,3,1,6,5,7] => 0011010 => [2,2,1,1,1] => 255
[5,2,7,1,8,6,3,4] => 1010110 => [1,1,1,1,2,1] => 345
[2,6,1,3,8,7,4,5] => 0100110 => [1,1,2,2,1] => 295
[6,5,2,8,1,7,3,4] => 1101010 => [2,1,1,1,1,1] => 297
[2,8,3,5,1,7,4,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,4,3,8,7,1,6,2] => 1101101 => [2,1,2,1,1] => 252
[8,5,4,3,7,2,6,1] => 1110101 => [3,1,1,1,1] => 165
[8,3,7,4,2,6,5,1] => 1011011 => [1,1,2,1,2] => 252
[2,8,6,5,1,7,4,3] => 0111011 => [1,3,1,2] => 157
[6,3,2,8,4,1,7,5] => 1101101 => [2,1,2,1,1] => 252
[2,8,3,4,1,7,5,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,4,2,8,3,1,7,6] => 1101101 => [2,1,2,1,1] => 252
[2,8,4,3,1,7,6,5] => 0111011 => [1,3,1,2] => 157
[2,8,5,3,1,7,6,4] => 0111011 => [1,3,1,2] => 157
[2,8,6,4,1,7,5,3] => 0111011 => [1,3,1,2] => 157
[3,8,7,5,1,6,4,2] => 0111011 => [1,3,1,2] => 157
[8,3,7,5,2,6,4,1] => 1011011 => [1,1,2,1,2] => 252
[8,4,7,6,2,5,3,1] => 1011011 => [1,1,2,1,2] => 252
[4,8,7,6,1,5,3,2] => 0111011 => [1,3,1,2] => 157
[7,4,8,6,2,1,5,3] => 1011101 => [1,1,3,1,1] => 233
[7,3,8,5,2,1,6,4] => 1011101 => [1,1,3,1,1] => 233
[7,3,8,4,2,1,6,5] => 1011101 => [1,1,3,1,1] => 233
[7,5,4,3,8,2,1,6] => 1110110 => [3,1,2,1] => 137
[3,7,8,4,1,2,6,5] => 0011001 => [2,2,2,1] => 211
[3,7,8,5,1,2,6,4] => 0011001 => [2,2,2,1] => 211
[4,7,8,6,1,2,5,3] => 0011001 => [2,2,2,1] => 211
[8,7,4,6,3,5,2,1] => 1101011 => [2,1,1,1,2] => 207
[5,7,8,6,1,2,4,3] => 0011001 => [2,2,2,1] => 211
[6,4,7,8,3,1,2,5] => 1001100 => [1,2,2,2] => 211
[7,3,4,8,2,1,5,6] => 1001100 => [1,2,2,2] => 211
[7,6,4,8,3,2,1,5] => 1101110 => [2,1,3,1] => 157
[7,5,8,6,2,1,4,3] => 1011101 => [1,1,3,1,1] => 233
[6,5,8,7,3,1,4,2] => 1011101 => [1,1,3,1,1] => 233
[2,4,8,3,1,5,7,6] => 0011001 => [2,2,2,1] => 211
[6,3,2,4,8,1,5,7] => 1100100 => [2,2,1,2] => 180
[2,3,8,4,1,6,7,5] => 0011001 => [2,2,2,1] => 211
[2,3,8,5,1,6,7,4] => 0011001 => [2,2,2,1] => 211
[6,4,8,7,3,1,5,2] => 1011101 => [1,1,3,1,1] => 233
[8,6,4,7,3,2,5,1] => 1101101 => [2,1,2,1,1] => 252
[8,3,4,7,2,5,6,1] => 1001001 => [1,2,1,2,1] => 281
[3,4,8,7,1,5,6,2] => 0011001 => [2,2,2,1] => 211
[2,4,8,6,1,5,7,3] => 0011001 => [2,2,2,1] => 211
[2,5,8,6,1,4,7,3] => 0011001 => [2,2,2,1] => 211
[8,3,5,7,2,4,6,1] => 1001001 => [1,2,1,2,1] => 281
[8,4,6,7,2,3,5,1] => 1001001 => [1,2,1,2,1] => 281
[4,6,8,7,1,3,5,2] => 0011001 => [2,2,2,1] => 211
[2,6,8,5,1,3,7,4] => 0011001 => [2,2,2,1] => 211
[2,6,8,4,1,3,7,5] => 0011001 => [2,2,2,1] => 211
[2,5,8,3,1,4,7,6] => 0011001 => [2,2,2,1] => 211
[5,6,8,7,1,3,4,2] => 0011001 => [2,2,2,1] => 211
[7,4,6,8,2,1,3,5] => 1001100 => [1,2,2,2] => 211
[2,3,5,4,1,8,6,7] => 0011010 => [2,2,1,1,1] => 255
[2,3,6,4,8,1,5,7] => 0010100 => [2,1,1,1,2] => 207
[1,8,4,6,3,5,2,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,4,8,6,2,1,3,7] => 1011100 => [1,1,3,2] => 171
[2,3,6,8,1,5,4,7] => 0001010 => [3,1,1,1,1] => 165
[2,5,6,1,4,7,8,3] => 0010001 => [2,1,3,1] => 157
[2,5,6,1,4,7,3,8] => 0010010 => [2,1,2,1,1] => 252
[7,3,5,1,6,8,4,2] => 1010011 => [1,1,1,2,2] => 255
[2,7,6,1,8,5,4,3] => 0110111 => [1,2,1,3] => 137
[2,7,6,8,1,4,5,3] => 0101001 => [1,1,1,1,2,1] => 345
[1,8,7,6,3,2,5,4] => 0111101 => [1,4,1,1] => 107
[1,8,7,6,3,2,4,5] => 0111100 => [1,4,2] => 81
[5,7,8,6,2,3,4,1] => 0011001 => [2,2,2,1] => 211
[2,7,6,1,8,5,3,4] => 0110110 => [1,2,1,2,1] => 281
[6,3,5,1,7,2,4,8] => 1010100 => [1,1,1,1,1,2] => 297
[2,3,4,7,6,1,5,8] => 0001100 => [3,2,2] => 105
[7,3,5,8,4,1,2,6] => 1001100 => [1,2,2,2] => 211
[1,8,4,5,2,7,3,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,8,4,5,2,7,6,3] => 0101011 => [1,1,1,1,1,2] => 297
[7,3,5,8,4,1,6,2] => 1001101 => [1,2,2,1,1] => 295
[2,7,6,4,8,5,1,3] => 0110110 => [1,2,1,2,1] => 281
[7,3,5,4,6,8,1,2] => 1010010 => [1,1,1,2,1,1] => 359
[6,3,5,4,7,1,8,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,3,5,4,7,1,2,8] => 1010100 => [1,1,1,1,1,2] => 297
[3,4,1,5,6,8,7,2] => 0100011 => [1,1,3,2] => 171
[3,7,1,6,8,5,2,4] => 0100110 => [1,1,2,2,1] => 295
[2,3,1,8,6,4,7,5] => 0101101 => [1,1,1,2,1,1] => 359
[1,8,4,3,6,2,5,7] => 0110100 => [1,2,1,1,2] => 241
[2,3,1,8,6,4,5,7] => 0101100 => [1,1,1,2,2] => 255
[3,7,1,6,8,5,4,2] => 0100111 => [1,1,2,3] => 145
[6,3,5,4,7,2,1,8] => 1010110 => [1,1,1,1,2,1] => 345
[7,3,5,4,6,8,2,1] => 1010011 => [1,1,1,2,2] => 255
[2,7,6,4,8,5,3,1] => 0110111 => [1,2,1,3] => 137
[1,8,4,5,2,6,3,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[6,4,8,5,3,1,2,7] => 1011100 => [1,1,3,2] => 171
[7,3,5,8,4,6,2,1] => 1001011 => [1,2,1,1,2] => 241
[2,3,4,6,5,8,1,7] => 0001010 => [3,1,1,1,1] => 165
[2,3,4,7,5,1,8,6] => 0001101 => [3,2,1,1] => 145
[2,3,4,7,5,1,6,8] => 0001100 => [3,2,2] => 105
[2,3,4,7,1,6,5,8] => 0001010 => [3,1,1,1,1] => 165
[2,3,4,7,1,6,8,5] => 0001001 => [3,1,2,1] => 137
[2,3,4,6,1,8,7,5] => 0001011 => [3,1,1,2] => 117
[6,3,5,8,4,2,7,1] => 1001101 => [1,2,2,1,1] => 295
[7,4,8,5,3,2,1,6] => 1011110 => [1,1,4,1] => 107
[1,8,4,5,2,3,6,7] => 0101000 => [1,1,1,1,3] => 165
[7,4,8,5,3,2,6,1] => 1011101 => [1,1,3,1,1] => 233
[6,3,5,8,4,2,1,7] => 1001110 => [1,2,3,1] => 185
[5,2,4,6,8,3,7,1] => 1000101 => [1,3,1,1,1] => 219
[1,5,7,4,6,3,2,8] => 0010110 => [2,1,1,2,1] => 241
[5,2,8,4,6,3,7,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[3,8,5,4,6,7,2,1] => 0110011 => [1,2,2,2] => 211
[6,8,3,4,5,7,2,1] => 0100011 => [1,1,3,2] => 171
[2,5,7,4,6,3,8,1] => 0010101 => [2,1,1,1,1,1] => 297
[5,4,1,7,8,3,2,6] => 1100110 => [2,2,2,1] => 211
[5,4,2,7,8,3,6,1] => 1100101 => [2,2,1,1,1] => 255
[5,1,4,6,8,3,2,7] => 1000110 => [1,3,2,1] => 185
[5,1,8,4,6,3,2,7] => 1010110 => [1,1,1,1,2,1] => 345
[8,1,6,4,5,3,2,7] => 1010110 => [1,1,1,1,2,1] => 345
[8,1,3,5,4,6,2,7] => 1001010 => [1,2,1,1,1,1] => 345
[8,1,6,2,4,3,5,7] => 1010100 => [1,1,1,1,1,2] => 297
[8,7,1,2,4,3,5,6] => 1100100 => [2,2,1,2] => 180
[1,7,6,2,4,3,5,8] => 0110100 => [1,2,1,1,2] => 241
[8,7,3,2,4,6,5,1] => 1110011 => [3,2,2] => 105
[8,2,6,3,4,5,7,1] => 1010001 => [1,1,1,3,1] => 219
[1,7,6,3,4,5,2,8] => 0110010 => [1,2,2,1,1] => 295
[1,7,2,5,4,3,6,8] => 0101100 => [1,1,1,2,2] => 255
[8,7,2,4,5,3,6,1] => 1100101 => [2,2,1,1,1] => 255
[5,8,2,4,7,3,6,1] => 0100101 => [1,1,2,1,1,1] => 359
[6,8,3,2,4,7,5,1] => 0110011 => [1,2,2,2] => 211
[8,7,1,3,4,5,2,6] => 1100010 => [2,3,1,1] => 171
[8,1,6,3,4,5,2,7] => 1010010 => [1,1,1,2,1,1] => 359
[8,1,2,5,4,3,6,7] => 1001100 => [1,2,2,2] => 211
[3,4,8,7,5,2,6,1] => 0011101 => [2,3,1,1] => 171
[3,2,8,6,1,5,4,7] => 1011010 => [1,1,2,1,1,1] => 359
[8,6,1,2,4,3,5,7] => 1100100 => [2,2,1,2] => 180
[8,7,3,6,4,2,5,1] => 1101101 => [2,1,2,1,1] => 252
[3,8,7,2,5,4,6,1] => 0110101 => [1,2,1,1,1,1] => 345
[8,7,2,4,5,6,3,1] => 1100011 => [2,3,2] => 126
[5,3,6,2,4,8,7,1] => 1010011 => [1,1,1,2,2] => 255
[3,5,2,8,6,1,4,7] => 0101100 => [1,1,1,2,2] => 255
[3,7,2,5,1,4,8,6] => 0101001 => [1,1,1,1,2,1] => 345
[5,1,8,6,2,3,4,7] => 1011000 => [1,1,2,3] => 145
[2,5,4,1,8,6,3,7] => 0110110 => [1,2,1,2,1] => 281
[3,7,6,1,8,2,5,4] => 0110101 => [1,2,1,1,1,1] => 345
[7,6,3,1,8,2,4,5] => 1110100 => [3,1,1,2] => 117
[8,2,3,6,1,4,7,5] => 1001001 => [1,2,1,2,1] => 281
[1,8,2,6,3,4,7,5] => 0101001 => [1,1,1,1,2,1] => 345
[8,1,3,6,4,7,2,5] => 1001010 => [1,2,1,1,1,1] => 345
[7,1,3,6,4,8,2,5] => 1001010 => [1,2,1,1,1,1] => 345
[8,2,1,3,5,7,4,6] => 1100010 => [2,3,1,1] => 171
[8,2,6,3,1,4,7,5] => 1011001 => [1,1,2,2,1] => 295
[7,5,4,1,3,8,2,6] => 1110010 => [3,2,1,1] => 145
[2,7,5,8,3,4,1,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[7,3,8,5,4,1,2,6] => 1011100 => [1,1,3,2] => 171
[7,2,3,6,1,4,8,5] => 1001001 => [1,2,1,2,1] => 281
[1,3,7,2,5,8,4,6] => 0010010 => [2,1,2,1,1] => 252
[1,7,2,3,5,8,4,6] => 0100010 => [1,1,3,1,1] => 233
[7,4,8,1,3,6,2,5] => 1010010 => [1,1,1,2,1,1] => 359
[8,1,2,3,5,7,4,6] => 1000010 => [1,4,1,1] => 107
[7,1,2,3,5,8,4,6] => 1000010 => [1,4,1,1] => 107
[8,6,1,4,7,3,2,5] => 1100110 => [2,2,2,1] => 211
[2,6,3,7,1,4,8,5] => 0101001 => [1,1,1,1,2,1] => 345
[2,6,3,8,1,4,7,5] => 0101001 => [1,1,1,1,2,1] => 345
[7,5,4,8,1,3,2,6] => 1101010 => [2,1,1,1,1,1] => 297
[8,5,4,7,1,3,2,6] => 1101010 => [2,1,1,1,1,1] => 297
[2,3,1,8,5,4,6,7] => 0101100 => [1,1,1,2,2] => 255
[8,6,5,1,3,4,2,7] => 1110010 => [3,2,1,1] => 145
[8,5,1,7,6,3,4,2] => 1101101 => [2,1,2,1,1] => 252
[3,4,7,6,1,8,5,2] => 0011011 => [2,2,1,2] => 180
[3,5,2,6,7,1,8,4] => 0100101 => [1,1,2,1,1,1] => 359
[3,2,8,4,7,5,1,6] => 1010110 => [1,1,1,1,2,1] => 345
[8,4,7,5,1,3,2,6] => 1011010 => [1,1,2,1,1,1] => 359
[3,8,1,6,5,2,7,4] => 0101101 => [1,1,1,2,1,1] => 359
[6,1,2,8,3,4,7,5] => 1001001 => [1,2,1,2,1] => 281
[6,8,3,1,7,2,4,5] => 0110100 => [1,2,1,1,2] => 241
[3,7,2,5,6,1,8,4] => 0100101 => [1,1,2,1,1,1] => 359
[6,8,4,2,5,1,7,3] => 0110101 => [1,2,1,1,1,1] => 345
[2,7,5,3,8,4,1,6] => 0110110 => [1,2,1,2,1] => 281
[8,3,1,4,7,2,6,5] => 1100101 => [2,2,1,1,1] => 255
[8,3,2,1,5,7,4,6] => 1110010 => [3,2,1,1] => 145
[2,8,3,6,4,7,1,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[7,3,6,4,8,1,2,5] => 1010100 => [1,1,1,1,1,2] => 297
[8,3,6,4,7,1,2,5] => 1010100 => [1,1,1,1,1,2] => 297
[1,2,8,3,5,7,4,6] => 0010010 => [2,1,2,1,1] => 252
[1,8,3,2,5,7,4,6] => 0110010 => [1,2,2,1,1] => 295
[6,5,1,7,4,2,8,3] => 1101101 => [2,1,2,1,1] => 252
[7,3,6,4,8,2,1,5] => 1010110 => [1,1,1,1,2,1] => 345
[4,6,1,7,3,5,2,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,6,1,7,3,4,2,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[6,1,7,3,4,2,8,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,3,8,1,6,5,2,4] => 1010110 => [1,1,1,1,2,1] => 345
[8,3,7,1,6,5,2,4] => 1010110 => [1,1,1,1,2,1] => 345
[5,1,7,4,2,8,6,3] => 1011011 => [1,1,2,1,2] => 252
[2,8,1,7,6,5,3,4] => 0101110 => [1,1,1,3,1] => 219
[4,2,8,6,5,1,7,3] => 1011101 => [1,1,3,1,1] => 233
[6,4,2,8,5,1,7,3] => 1101101 => [2,1,2,1,1] => 252
[8,6,4,7,1,5,2,3] => 1101010 => [2,1,1,1,1,1] => 297
[7,6,4,8,1,5,2,3] => 1101010 => [2,1,1,1,1,1] => 297
[5,1,6,4,2,3,8,7] => 1011001 => [1,1,2,2,1] => 295
[4,2,3,8,7,5,1,6] => 1001110 => [1,2,3,1] => 185
[3,8,7,1,6,5,2,4] => 0110110 => [1,2,1,2,1] => 281
[2,4,3,8,1,6,7,5] => 0101001 => [1,1,1,1,2,1] => 345
[2,4,3,7,1,6,8,5] => 0101001 => [1,1,1,1,2,1] => 345
[4,2,3,7,8,5,1,6] => 1000110 => [1,3,2,1] => 185
[5,1,6,4,2,3,7,8] => 1011000 => [1,1,2,3] => 145
[6,4,7,8,1,5,2,3] => 1001010 => [1,2,1,1,1,1] => 345
[8,7,4,6,1,5,2,3] => 1101010 => [2,1,1,1,1,1] => 297
[6,5,7,8,1,4,2,3] => 1001010 => [1,2,1,1,1,1] => 345
[4,7,8,6,1,5,2,3] => 0011010 => [2,2,1,1,1] => 255
[3,2,4,7,8,1,5,6] => 1000100 => [1,3,1,2] => 157
[3,2,4,8,7,1,5,6] => 1001100 => [1,2,2,2] => 211
[4,8,7,6,1,5,2,3] => 0111010 => [1,3,1,1,1] => 219
[5,8,7,6,1,4,2,3] => 0111010 => [1,3,1,1,1] => 219
[8,6,5,7,1,4,2,3] => 1101010 => [2,1,1,1,1,1] => 297
[5,1,6,7,4,2,3,8] => 1001100 => [1,2,2,2] => 211
[6,7,4,8,1,5,2,3] => 0101010 => [1,1,1,1,1,1,1] => 429
[8,4,7,6,1,5,2,3] => 1011010 => [1,1,2,1,1,1] => 359
[8,3,2,4,7,1,5,6] => 1100100 => [2,2,1,2] => 180
[7,3,2,4,8,1,5,6] => 1100100 => [2,2,1,2] => 180
[2,5,3,7,1,6,4,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[8,4,6,7,1,5,2,3] => 1001010 => [1,2,1,1,1,1] => 345
[7,4,6,8,1,5,2,3] => 1001010 => [1,2,1,1,1,1] => 345
[5,1,6,8,4,2,3,7] => 1001100 => [1,2,2,2] => 211
[4,2,3,7,5,1,6,8] => 1001100 => [1,2,2,2] => 211
[3,7,5,8,1,6,2,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,4,3,7,1,6,5,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,4,7,1,5,8,6,3] => 0010011 => [2,1,2,2] => 180
[3,2,4,7,6,1,5,8] => 1001100 => [1,2,2,2] => 211
[4,7,6,8,1,5,2,3] => 0101010 => [1,1,1,1,1,1,1] => 429
[8,5,6,7,1,4,2,3] => 1001010 => [1,2,1,1,1,1] => 345
[8,6,7,5,1,4,2,3] => 1011010 => [1,1,2,1,1,1] => 359
[7,6,8,5,1,4,2,3] => 1011010 => [1,1,2,1,1,1] => 359
[6,8,7,5,1,4,2,3] => 0111010 => [1,3,1,1,1] => 219
[5,6,8,7,1,4,2,3] => 0011010 => [2,2,1,1,1] => 255
[4,6,8,7,1,5,2,3] => 0011010 => [2,2,1,1,1] => 255
[2,4,6,7,1,5,8,3] => 0001001 => [3,1,2,1] => 137
[3,2,4,6,1,5,7,8] => 1001000 => [1,2,1,3] => 137
[6,7,8,5,1,4,2,3] => 0011010 => [2,2,1,1,1] => 255
[7,8,6,5,1,4,2,3] => 0111010 => [1,3,1,1,1] => 219
[3,1,7,5,4,2,8,6] => 1011101 => [1,1,3,1,1] => 233
[2,1,8,5,4,6,3,7] => 1011010 => [1,1,2,1,1,1] => 359
[4,1,8,5,2,3,6,7] => 1011000 => [1,1,2,3] => 145
[5,4,1,3,6,7,2,8] => 1100010 => [2,3,1,1] => 171
[8,4,1,2,6,3,7,5] => 1100101 => [2,2,1,1,1] => 255
[8,2,7,1,5,3,4,6] => 1010100 => [1,1,1,1,1,2] => 297
[3,2,7,1,5,8,4,6] => 1010010 => [1,1,1,2,1,1] => 359
[6,3,7,1,5,4,2,8] => 1010110 => [1,1,1,1,2,1] => 345
[7,3,8,1,5,4,2,6] => 1010110 => [1,1,1,1,2,1] => 345
[7,1,5,3,8,4,2,6] => 1010110 => [1,1,1,1,2,1] => 345
[4,5,1,3,6,8,2,7] => 0100010 => [1,1,3,1,1] => 233
[3,6,8,1,5,4,2,7] => 0010110 => [2,1,1,2,1] => 241
[6,8,3,1,5,4,2,7] => 0110110 => [1,2,1,2,1] => 281
[7,6,3,1,5,4,2,8] => 1110110 => [3,1,2,1] => 137
[3,6,2,1,5,8,4,7] => 0110010 => [1,2,2,1,1] => 295
[8,6,2,1,5,3,4,7] => 1110100 => [3,1,1,2] => 117
[4,8,2,1,7,5,3,6] => 0110110 => [1,2,1,2,1] => 281
[2,3,8,1,5,7,4,6] => 0010010 => [2,1,2,1,1] => 252
[7,1,3,2,8,6,4,5] => 1010110 => [1,1,1,1,2,1] => 345
[7,1,6,2,8,3,4,5] => 1010100 => [1,1,1,1,1,2] => 297
[4,7,1,2,6,3,8,5] => 0100101 => [1,1,2,1,1,1] => 359
[2,7,8,1,5,3,4,6] => 0010100 => [2,1,1,1,2] => 207
[6,7,2,1,5,3,4,8] => 0110100 => [1,2,1,1,2] => 241
[4,7,2,1,8,5,3,6] => 0110110 => [1,2,1,2,1] => 281
[8,7,2,1,4,5,3,6] => 1110010 => [3,2,1,1] => 145
[8,7,5,6,1,4,3,2] => 1101011 => [2,1,1,1,2] => 207
[5,7,8,6,1,4,3,2] => 0011011 => [2,2,1,2] => 180
[2,7,4,1,6,5,3,8] => 0110110 => [1,2,1,2,1] => 281
[3,7,1,4,5,6,8,2] => 0100001 => [1,1,4,1] => 107
[7,1,6,4,5,8,3,2] => 1010011 => [1,1,1,2,2] => 255
[3,5,1,4,7,6,8,2] => 0100101 => [1,1,2,1,1,1] => 359
[2,6,4,1,7,5,3,8] => 0110110 => [1,2,1,2,1] => 281
[5,6,8,7,1,4,3,2] => 0011011 => [2,2,1,2] => 180
[6,8,5,7,1,4,3,2] => 0101011 => [1,1,1,1,1,2] => 297
[8,6,5,7,1,4,3,2] => 1101011 => [2,1,1,1,2] => 207
[8,5,7,6,1,4,3,2] => 1011011 => [1,1,2,1,2] => 252
[6,5,7,8,1,4,3,2] => 1001011 => [1,2,1,1,2] => 241
[7,2,3,1,5,6,4,8] => 1010010 => [1,1,1,2,1,1] => 359
[4,2,8,1,6,5,3,7] => 1010110 => [1,1,1,1,2,1] => 345
[6,2,4,1,8,5,3,7] => 1010110 => [1,1,1,1,2,1] => 345
[8,3,1,4,5,6,7,2] => 1100001 => [2,4,1] => 81
[5,3,1,4,8,6,7,2] => 1100101 => [2,2,1,1,1] => 255
[7,5,1,6,3,4,8,2] => 1101001 => [2,1,1,2,1] => 241
[7,1,5,8,4,3,6,2] => 1001101 => [1,2,2,1,1] => 295
[5,8,1,6,4,3,7,2] => 0101101 => [1,1,1,2,1,1] => 359
[5,3,1,8,4,6,7,2] => 1101001 => [2,1,1,2,1] => 241
[8,3,1,5,4,6,7,2] => 1101001 => [2,1,1,2,1] => 241
[8,2,6,1,4,5,3,7] => 1010010 => [1,1,1,2,1,1] => 359
[6,2,8,1,4,5,3,7] => 1010010 => [1,1,1,2,1,1] => 359
[7,2,6,1,5,3,4,8] => 1010100 => [1,1,1,1,1,2] => 297
[2,8,6,1,5,3,4,7] => 0110100 => [1,2,1,1,2] => 241
[4,2,1,5,6,3,8,7] => 1100101 => [2,2,1,1,1] => 255
[7,1,2,5,8,3,4,6] => 1000100 => [1,3,1,2] => 157
[7,1,4,5,6,8,3,2] => 1000011 => [1,4,2] => 81
[8,5,6,7,1,4,3,2] => 1001011 => [1,2,1,1,2] => 241
[7,6,8,5,1,4,3,2] => 1011011 => [1,1,2,1,2] => 252
[6,8,7,5,1,4,3,2] => 0111011 => [1,3,1,2] => 157
[2,6,7,1,4,5,3,8] => 0010010 => [2,1,2,1,1] => 252
[3,5,1,7,4,6,8,2] => 0101001 => [1,1,1,1,2,1] => 345
[7,1,5,6,4,8,3,2] => 1001011 => [1,2,1,1,2] => 241
[7,1,6,5,4,8,3,2] => 1011011 => [1,1,2,1,2] => 252
[2,7,6,1,4,5,3,8] => 0110010 => [1,2,2,1,1] => 295
[5,7,6,8,1,4,3,2] => 0101011 => [1,1,1,1,1,2] => 297
[7,8,6,5,1,4,3,2] => 0111011 => [1,3,1,2] => 157
[4,3,1,6,5,8,7,2] => 1101011 => [2,1,1,1,2] => 207
[5,3,1,2,4,8,7,6] => 1100011 => [2,3,2] => 126
[5,3,6,2,1,8,7,4] => 1011011 => [1,1,2,1,2] => 252
[5,3,7,2,1,4,6,8] => 1011000 => [1,1,2,3] => 145
[5,3,7,2,8,4,1,6] => 1010110 => [1,1,1,1,2,1] => 345
[7,2,4,5,8,3,1,6] => 1000110 => [1,3,2,1] => 185
[7,2,4,5,1,3,6,8] => 1001000 => [1,2,1,3] => 137
[6,2,4,5,1,8,7,3] => 1001011 => [1,2,1,1,2] => 241
[3,1,4,5,2,8,7,6] => 1001011 => [1,2,1,1,2] => 241
[1,6,4,5,2,8,7,3] => 0101011 => [1,1,1,1,1,2] => 297
[3,7,4,5,1,2,6,8] => 0101000 => [1,1,1,1,3] => 165
[3,7,4,5,8,2,1,6] => 0100110 => [1,1,2,2,1] => 295
[1,7,4,2,6,3,5,8] => 0110100 => [1,2,1,1,2] => 241
[8,7,4,5,2,1,6,3] => 1101101 => [2,1,2,1,1] => 252
[6,3,7,1,8,4,2,5] => 1010110 => [1,1,1,1,2,1] => 345
[5,7,4,1,6,3,2,8] => 0110110 => [1,2,1,2,1] => 281
[1,7,4,8,6,3,2,5] => 0101110 => [1,1,1,3,1] => 219
[5,7,4,8,6,3,1,2] => 0101110 => [1,1,1,3,1] => 219
[4,8,3,5,6,7,1,2] => 0100010 => [1,1,3,1,1] => 233
[1,8,3,5,6,7,2,4] => 0100010 => [1,1,3,1,1] => 233
[4,8,1,5,6,7,2,3] => 0100010 => [1,1,3,1,1] => 233
[4,1,3,5,6,7,2,8] => 1000010 => [1,4,1,1] => 107
[5,8,4,3,6,1,2,7] => 0110100 => [1,2,1,1,2] => 241
[5,3,8,4,1,7,2,6] => 1011010 => [1,1,2,1,1,1] => 359
[1,5,8,4,6,7,3,2] => 0010011 => [2,1,2,2] => 180
[1,4,8,3,6,7,5,2] => 0010011 => [2,1,2,2] => 180
[4,3,8,2,1,7,5,6] => 1011010 => [1,1,2,1,1,1] => 359
[3,8,4,2,6,1,5,7] => 0110100 => [1,2,1,1,2] => 241
[1,8,2,5,6,7,4,3] => 0100011 => [1,1,3,2] => 171
[3,8,1,5,6,7,4,2] => 0100011 => [1,1,3,2] => 171
[3,8,2,5,6,7,1,4] => 0100010 => [1,1,3,1,1] => 233
[8,2,1,5,6,7,4,3] => 1100011 => [2,3,2] => 126
[8,1,3,5,6,7,4,2] => 1000011 => [1,4,2] => 81
[7,1,4,3,6,2,5,8] => 1010100 => [1,1,1,1,1,2] => 297
[7,8,4,3,6,2,1,5] => 0110110 => [1,2,1,2,1] => 281
[4,3,1,8,5,7,6,2] => 1101011 => [2,1,1,1,2] => 207
[4,3,1,6,8,7,5,2] => 1100111 => [2,2,3] => 105
[6,3,1,8,2,7,4,5] => 1101010 => [2,1,1,1,1,1] => 297
[6,3,5,8,2,7,1,4] => 1001010 => [1,2,1,1,1,1] => 345
[7,5,4,8,6,2,1,3] => 1101110 => [2,1,3,1] => 157
[7,1,4,8,6,2,3,5] => 1001100 => [1,2,2,2] => 211
[7,5,4,1,6,2,3,8] => 1110100 => [3,1,1,2] => 117
[7,6,4,5,8,1,3,2] => 1100101 => [2,2,1,1,1] => 255
[1,6,4,5,8,2,3,7] => 0100100 => [1,1,2,1,2] => 252
[7,3,6,1,8,2,4,5] => 1010100 => [1,1,1,1,1,2] => 297
[1,7,6,5,8,3,4,2] => 0110101 => [1,2,1,1,1,1] => 345
[1,8,5,3,6,7,4,2] => 0110011 => [1,2,2,2] => 211
[8,3,5,2,1,7,4,6] => 1011010 => [1,1,2,1,1,1] => 359
[8,4,1,5,6,7,3,2] => 1100011 => [2,3,2] => 126
[8,4,2,5,6,7,1,3] => 1100010 => [2,3,1,1] => 171
[4,1,8,5,6,7,3,2] => 1010011 => [1,1,1,2,2] => 255
[1,2,8,5,6,7,3,4] => 0010010 => [2,1,2,1,1] => 252
[4,2,1,5,6,7,3,8] => 1100010 => [2,3,1,1] => 171
[1,5,3,8,6,7,4,2] => 0101011 => [1,1,1,1,1,2] => 297
[1,4,5,8,6,7,3,2] => 0001011 => [3,1,1,2] => 117
[4,3,5,8,1,7,2,6] => 1001010 => [1,2,1,1,1,1] => 345
[3,5,4,8,6,1,2,7] => 0101100 => [1,1,1,2,2] => 255
[1,4,8,5,6,7,2,3] => 0010010 => [2,1,2,1,1] => 252
[3,4,8,5,6,7,1,2] => 0010010 => [2,1,2,1,1] => 252
[2,7,1,5,6,3,4,8] => 0100100 => [1,1,2,1,2] => 252
[2,7,1,4,3,6,5,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,3,7,2,5,6,8,1] => 1010001 => [1,1,1,3,1] => 219
[2,6,3,1,4,5,8,7] => 0110001 => [1,2,3,1] => 185
[3,7,1,4,2,6,8,5] => 0101001 => [1,1,1,1,2,1] => 345
[3,7,1,5,6,2,8,4] => 0100101 => [1,1,2,1,1,1] => 359
[4,7,1,5,6,8,2,3] => 0100010 => [1,1,3,1,1] => 233
[8,5,2,6,7,3,1,4] => 1100110 => [2,2,2,1] => 211
[8,4,2,6,3,7,1,5] => 1101010 => [2,1,1,1,1,1] => 297
[8,4,2,3,5,7,1,6] => 1100010 => [2,3,1,1] => 171
[4,7,3,2,5,6,1,8] => 0110010 => [1,2,2,1,1] => 295
[5,3,4,6,2,8,1,7] => 1001010 => [1,2,1,1,1,1] => 345
[5,3,7,4,2,8,1,6] => 1011010 => [1,1,2,1,1,1] => 359
[6,4,7,2,3,8,1,5] => 1010010 => [1,1,1,2,1,1] => 359
[6,5,7,2,8,3,1,4] => 1010110 => [1,1,1,1,2,1] => 345
[5,3,7,2,4,8,6,1] => 1010011 => [1,1,1,2,2] => 255
[2,6,5,1,8,3,4,7] => 0110100 => [1,2,1,1,2] => 241
[8,7,6,1,4,5,2,3] => 1110010 => [3,2,1,1] => 145
[8,7,6,1,3,2,5,4] => 1110101 => [3,1,1,1,1] => 165
[8,7,2,4,3,1,6,5] => 1101101 => [2,1,2,1,1] => 252
[8,7,4,5,1,6,2,3] => 1101010 => [2,1,1,1,1,1] => 297
[8,5,6,4,1,7,2,3] => 1011010 => [1,1,2,1,1,1] => 359
[8,5,6,3,1,2,7,4] => 1011001 => [1,1,2,2,1] => 295
[8,4,6,2,3,1,7,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,3,5,4,2,1,7,6] => 1011101 => [1,1,3,1,1] => 233
[5,7,3,4,2,1,8,6] => 0101101 => [1,1,1,2,1,1] => 359
[6,7,4,2,3,1,8,5] => 0110101 => [1,2,1,1,1,1] => 345
[6,7,5,3,1,2,8,4] => 0111001 => [1,3,2,1] => 185
[6,7,5,4,1,8,2,3] => 0111010 => [1,3,1,1,1] => 219
[10,3,1,2,4,5,6,7,8,9] => 110000000 => [2,7] => 36
[10,4,1,2,3,5,6,7,8,9] => 110000000 => [2,7] => 36
[5,10,1,2,3,4,6,7,8,9] => 010000000 => [1,1,7] => 44
[10,6,1,2,3,4,5,7,8,9] => 110000000 => [2,7] => 36
[10,7,1,2,3,4,5,6,8,9] => 110000000 => [2,7] => 36
[8,10,1,2,3,4,5,6,7,9] => 010000000 => [1,1,7] => 44
[2,3,10,1,4,5,6,7,8,9] => 001000000 => [2,1,6] => 119
[4,3,1,10,2,5,6,7,8,9] => 110100000 => [2,1,1,5] => 319
[5,4,1,2,10,3,6,7,8,9] => 110010000 => [2,2,1,4] => 666
[5,6,1,2,3,10,4,7,8,9] => 010001000 => [1,1,3,1,3] => 1330
[7,6,1,2,3,4,10,5,8,9] => 110000100 => [2,4,1,2] => 1001
[8,7,1,2,3,4,5,10,6,9] => 110000010 => [2,5,1,1] => 624
[8,9,1,2,3,4,5,6,10,7] => 010000001 => [1,1,6,1] => 254
[6,2,4,3,8,7,5,1] => 1010111 => [1,1,1,1,3] => 165
[7,3,5,4,1,8,6,2] => 1011011 => [1,1,2,1,2] => 252
[5,2,7,1,3,4,8,6] => 1010001 => [1,1,1,3,1] => 219
[2,6,5,7,3,1,4,8] => 0101100 => [1,1,1,2,2] => 255
[2,6,5,7,3,1,8,4] => 0101101 => [1,1,1,2,1,1] => 359
[6,3,1,4,7,8,5,2] => 1100011 => [2,3,2] => 126
[6,8,2,1,3,4,5,7] => 0110000 => [1,2,4] => 65
[3,7,1,8,4,5,2,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[6,3,2,4,7,5,8,1] => 1100101 => [2,2,1,1,1] => 255
[6,3,2,4,7,5,1,8] => 1100110 => [2,2,2,1] => 211
[4,2,1,6,3,7,5,8] => 1101010 => [2,1,1,1,1,1] => 297
[4,2,1,6,3,7,8,5] => 1101001 => [2,1,1,2,1] => 241
[7,4,3,5,8,6,1,2] => 1100110 => [2,2,2,1] => 211
[2,7,6,8,3,1,4,5] => 0101100 => [1,1,1,2,2] => 255
[7,4,3,5,8,6,2,1] => 1100111 => [2,2,3] => 105
[4,2,1,7,3,8,6,5] => 1101011 => [2,1,1,1,2] => 207
[4,2,1,3,7,8,6,5] => 1100011 => [2,3,2] => 126
[5,8,1,7,4,3,6,2] => 0101101 => [1,1,1,2,1,1] => 359
[5,8,1,7,4,3,2,6] => 0101110 => [1,1,1,3,1] => 219
[3,7,8,6,2,1,4,5] => 0011100 => [2,3,2] => 126
[4,2,1,8,3,5,6,7] => 1101000 => [2,1,1,3] => 117
[4,2,1,3,6,7,5,8] => 1100010 => [2,3,1,1] => 171
[4,2,1,3,7,5,6,8] => 1100100 => [2,2,1,2] => 180
[4,2,1,3,6,8,7,5] => 1100011 => [2,3,2] => 126
[7,3,2,4,8,6,5,1] => 1100111 => [2,2,3] => 105
[4,2,1,6,3,8,7,5] => 1101011 => [2,1,1,1,2] => 207
[4,2,1,7,3,5,6,8] => 1101000 => [2,1,1,3] => 117
[3,6,7,5,2,1,4,8] => 0011100 => [2,3,2] => 126
[3,6,7,5,2,1,8,4] => 0011101 => [2,3,1,1] => 171
[7,3,4,2,6,8,5,1] => 1010011 => [1,1,1,2,2] => 255
[4,8,6,2,7,3,5,1] => 0110101 => [1,2,1,1,1,1] => 345
[7,3,4,2,6,8,1,5] => 1010010 => [1,1,1,2,1,1] => 359
[3,6,7,5,2,4,8,1] => 0011001 => [2,2,2,1] => 211
[3,6,7,5,2,4,1,8] => 0011010 => [2,2,1,1,1] => 255
[4,2,1,7,3,6,5,8] => 1101010 => [2,1,1,1,1,1] => 297
[4,2,1,7,3,6,8,5] => 1101001 => [2,1,1,2,1] => 241
[3,7,6,8,4,2,5,1] => 0101101 => [1,1,1,2,1,1] => 359
[5,8,1,7,4,2,6,3] => 0101101 => [1,1,1,2,1,1] => 359
[3,7,8,6,2,4,5,1] => 0011001 => [2,2,2,1] => 211
[4,2,1,3,8,6,7,5] => 1100101 => [2,2,1,1,1] => 255
[4,2,1,3,7,6,5,8] => 1100110 => [2,2,2,1] => 211
[4,2,1,3,5,7,6,8] => 1100010 => [2,3,1,1] => 171
[4,2,1,3,5,8,6,7] => 1100010 => [2,3,1,1] => 171
[4,8,1,7,3,6,5,2] => 0101011 => [1,1,1,1,1,2] => 297
[4,7,8,6,3,5,2,1] => 0011011 => [2,2,1,2] => 180
[4,2,1,8,3,7,6,5] => 1101011 => [2,1,1,1,2] => 207
[4,2,1,3,5,6,8,7] => 1100001 => [2,4,1] => 81
[7,8,2,4,1,3,6,5] => 0101001 => [1,1,1,1,2,1] => 345
[2,6,1,5,4,7,8,3] => 0101001 => [1,1,1,1,2,1] => 345
[4,6,3,5,8,7,1,2] => 0100110 => [1,1,2,2,1] => 295
[3,5,6,1,4,8,7,2] => 0010011 => [2,1,2,2] => 180
[2,3,6,8,4,1,5,7] => 0001100 => [3,2,2] => 105
[2,7,5,1,8,3,4,6] => 0110100 => [1,2,1,1,2] => 241
[4,7,5,2,1,3,6,8] => 0111000 => [1,3,3] => 95
[3,5,6,2,4,1,7,8] => 0010100 => [2,1,1,1,2] => 207
[2,5,6,1,4,8,3,7] => 0010010 => [2,1,2,1,1] => 252
[6,7,8,4,1,5,3,2] => 0011011 => [2,2,1,2] => 180
[7,1,6,8,4,5,3,2] => 1001011 => [1,2,1,1,2] => 241
[7,4,6,5,2,8,1,3] => 1011010 => [1,1,2,1,1,1] => 359
[7,1,5,6,4,2,3,8] => 1001100 => [1,2,2,2] => 211
[5,7,4,6,8,1,3,2] => 0100101 => [1,1,2,1,1,1] => 359
[5,7,8,1,4,6,3,2] => 0010011 => [2,1,2,2] => 180
[8,1,5,7,4,6,3,2] => 1001011 => [1,2,1,1,2] => 241
[1,8,4,6,7,5,3,2] => 0100111 => [1,1,2,3] => 145
[6,1,8,4,7,5,3,2] => 1010111 => [1,1,1,1,3] => 165
[4,5,8,6,1,7,3,2] => 0011011 => [2,2,1,2] => 180
[4,8,5,1,6,7,3,2] => 0110011 => [1,2,2,2] => 211
[8,1,4,5,6,7,3,2] => 1000011 => [1,4,2] => 81
[5,6,7,1,4,2,3,8] => 0010100 => [2,1,1,1,2] => 207
[8,4,2,6,1,5,7,3] => 1101001 => [2,1,1,2,1] => 241
[4,8,5,2,1,6,7,3] => 0111001 => [1,3,2,1] => 185
[5,1,8,4,2,6,3,7] => 1011010 => [1,1,2,1,1,1] => 359
[1,8,4,6,2,5,3,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[6,1,5,2,3,4,7,8] => 1010000 => [1,1,1,4] => 75
[8,3,1,4,6,2,5,7] => 1100100 => [2,2,1,2] => 180
[3,1,8,2,5,6,4,7] => 1010010 => [1,1,1,2,1,1] => 359
[3,5,1,8,2,6,4,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,5,1,2,8,4,7,6] => 0100101 => [1,1,2,1,1,1] => 359
[2,3,5,8,6,1,7,4] => 0001101 => [3,2,1,1] => 145
[8,2,4,3,6,7,1,5] => 1010010 => [1,1,1,2,1,1] => 359
[3,2,8,5,7,1,6,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[3,6,2,8,5,1,7,4] => 0101101 => [1,1,1,2,1,1] => 359
[6,2,1,8,4,7,5,3] => 1101011 => [2,1,1,1,2] => 207
[2,8,7,1,4,6,5,3] => 0110011 => [1,2,2,2] => 211
[8,2,7,1,5,4,6,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,2,5,3,6,8,1,4] => 1010010 => [1,1,1,2,1,1] => 359
[7,3,1,5,6,2,4,8] => 1100100 => [2,2,1,2] => 180
[3,7,5,1,6,2,4,8] => 0110100 => [1,2,1,1,2] => 241
[2,7,3,6,5,8,1,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[8,7,2,4,1,6,5,3] => 1101011 => [2,1,1,1,2] => 207
[1,8,7,2,3,6,5,4] => 0110011 => [1,2,2,2] => 211
[1,7,8,2,6,4,3,5] => 0010110 => [2,1,1,2,1] => 241
[1,7,3,8,2,6,4,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,2,7,3,6,4,5,8] => 0010100 => [2,1,1,1,2] => 207
[7,1,5,8,3,2,4,6] => 1001100 => [1,2,2,2] => 211
[1,6,2,8,4,3,7,5] => 0101101 => [1,1,1,2,1,1] => 359
[1,3,8,7,2,4,6,5] => 0011001 => [2,2,2,1] => 211
[1,8,3,7,2,5,4,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[8,1,4,7,3,2,5,6] => 1001100 => [1,2,2,2] => 211
[4,7,8,1,3,2,5,6] => 0010100 => [2,1,1,1,2] => 207
[7,1,4,2,3,5,6,8] => 1010000 => [1,1,1,4] => 75
[8,2,1,4,7,3,5,6] => 1100100 => [2,2,1,2] => 180
[2,1,3,8,4,6,7,5] => 1001001 => [1,2,1,2,1] => 281
[1,2,3,4,8,5,7,6] => 0000101 => [4,1,1,1] => 75
[2,4,7,5,6,8,3,1] => 0010011 => [2,1,2,2] => 180
[2,4,8,7,5,6,3,1] => 0011011 => [2,2,1,2] => 180
[2,5,3,8,4,7,6,1] => 0101011 => [1,1,1,1,1,2] => 297
[2,8,5,7,3,6,4,1] => 0101011 => [1,1,1,1,1,2] => 297
[3,1,8,5,2,7,6,4] => 1011011 => [1,1,2,1,2] => 252
[2,8,6,3,4,5,7,1] => 0110001 => [1,2,3,1] => 185
[2,5,7,3,4,8,6,1] => 0010011 => [2,1,2,2] => 180
[8,3,7,6,1,4,5,2] => 1011001 => [1,1,2,2,1] => 295
[3,1,7,8,2,5,6,4] => 1001001 => [1,2,1,2,1] => 281
[7,3,8,5,1,6,4,2] => 1011011 => [1,1,2,1,2] => 252
[7,5,1,2,3,4,8,6] => 1100001 => [2,4,1] => 81
[4,8,1,5,2,7,3,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,1,2,5,3,8,7,6] => 1001011 => [1,2,1,1,2] => 241
[4,3,6,8,7,5,1,2] => 1001110 => [1,2,3,1] => 185
[5,4,1,8,2,7,6,3] => 1101011 => [2,1,1,1,2] => 207
[6,4,8,1,2,5,3,7] => 1010010 => [1,1,1,2,1,1] => 359
[6,7,3,1,4,8,5,2] => 0110011 => [1,2,2,2] => 211
[5,4,1,6,8,2,7,3] => 1100101 => [2,2,1,1,1] => 255
[5,4,7,1,2,8,6,3] => 1010011 => [1,1,1,2,2] => 255
[6,7,4,1,2,8,3,5] => 0110010 => [1,2,2,1,1] => 295
[6,5,1,2,3,7,8,4] => 1100001 => [2,4,1] => 81
[6,5,1,2,3,4,8,7] => 1100001 => [2,4,1] => 81
[6,7,4,1,2,5,3,8] => 0110010 => [1,2,2,1,1] => 295
[2,4,6,3,5,7,1,8] => 0010010 => [2,1,2,1,1] => 252
[1,4,6,3,7,2,5,8] => 0010100 => [2,1,1,1,2] => 207
[8,6,2,5,3,1,7,4] => 1101101 => [2,1,2,1,1] => 252
[8,2,3,4,5,1,7,6] => 1000101 => [1,3,1,1,1] => 219
[1,8,3,4,2,7,5,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,8,3,4,1,6,7,5] => 0101001 => [1,1,1,1,2,1] => 345
[8,7,2,3,1,6,5,4] => 1101011 => [2,1,1,1,2] => 207
[3,8,2,4,6,1,7,5] => 0100101 => [1,1,2,1,1,1] => 359
[7,8,2,4,3,1,6,5] => 0101101 => [1,1,1,2,1,1] => 359
[4,5,8,2,3,1,7,6] => 0010101 => [2,1,1,1,1,1] => 297
[5,1,4,3,7,2,6,8] => 1010100 => [1,1,1,1,1,2] => 297
[6,1,3,5,7,2,4,8] => 1000100 => [1,3,1,2] => 157
[2,1,4,7,5,3,6,8] => 1001100 => [1,2,2,2] => 211
[7,1,3,6,2,5,4,8] => 1001010 => [1,2,1,1,1,1] => 345
[8,1,3,6,2,4,7,5] => 1001001 => [1,2,1,2,1] => 281
[2,1,8,3,7,5,4,6] => 1010110 => [1,1,1,1,2,1] => 345
[7,1,8,2,5,6,3,4] => 1010010 => [1,1,1,2,1,1] => 359
[6,1,5,8,2,7,3,4] => 1001010 => [1,2,1,1,1,1] => 345
[4,5,2,8,1,6,7,3] => 0101001 => [1,1,1,1,2,1] => 345
[6,2,5,8,1,4,7,3] => 1001001 => [1,2,1,2,1] => 281
[3,2,8,5,1,6,7,4] => 1011001 => [1,1,2,2,1] => 295
[8,2,7,1,4,6,5,3] => 1010011 => [1,1,1,2,2] => 255
[1,3,8,2,5,7,4,6] => 0010010 => [2,1,2,1,1] => 252
[2,8,7,1,6,4,5,3] => 0110101 => [1,2,1,1,1,1] => 345
[3,8,7,1,5,6,4,2] => 0110011 => [1,2,2,2] => 211
[3,4,8,5,6,1,7,2] => 0010101 => [2,1,1,1,1,1] => 297
[8,3,7,4,1,6,5,2] => 1011011 => [1,1,2,1,2] => 252
[1,4,8,6,2,7,3,5] => 0011010 => [2,2,1,1,1] => 255
[8,4,5,7,1,6,3,2] => 1001011 => [1,2,1,1,2] => 241
[3,5,6,8,4,1,7,2] => 0001101 => [3,2,1,1] => 145
[6,2,3,1,5,4,7,8] => 1010100 => [1,1,1,1,1,2] => 297
[7,2,3,1,4,6,5,8] => 1010010 => [1,1,1,2,1,1] => 359
[8,2,3,1,4,5,7,6] => 1010001 => [1,1,1,3,1] => 219
[8,5,1,3,2,4,7,6] => 1101001 => [2,1,1,2,1] => 241
[7,5,1,3,2,6,4,8] => 1101010 => [2,1,1,1,1,1] => 297
[2,6,1,4,5,3,7,8] => 0100100 => [1,1,2,1,2] => 252
[3,6,4,1,5,2,7,8] => 0110100 => [1,2,1,1,2] => 241
[4,5,6,1,3,2,7,8] => 0010100 => [2,1,1,1,2] => 207
[4,5,7,1,2,6,3,8] => 0010010 => [2,1,2,1,1] => 252
[3,7,4,1,2,6,5,8] => 0110010 => [1,2,2,1,1] => 295
[6,7,1,4,2,5,3,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,7,1,3,5,6,4,8] => 0100010 => [1,1,3,1,1] => 233
[8,6,1,2,4,3,7,5] => 1100101 => [2,2,1,1,1] => 255
[2,8,1,3,4,6,7,5] => 0100001 => [1,1,4,1] => 107
[7,8,1,2,5,3,6,4] => 0100101 => [1,1,2,1,1,1] => 359
[3,8,4,1,2,5,7,6] => 0110001 => [1,2,3,1] => 185
[1,2,6,7,5,3,8,4] => 0001101 => [3,2,1,1] => 145
[1,7,5,3,2,8,4,6] => 0111010 => [1,3,1,1,1] => 219
[1,6,7,5,3,8,4,2] => 0011011 => [2,2,1,2] => 180
[1,6,5,7,2,3,8,4] => 0101001 => [1,1,1,1,2,1] => 345
[1,3,8,2,6,5,7,4] => 0010101 => [2,1,1,1,1,1] => 297
[1,2,5,7,6,3,4,8] => 0001100 => [3,2,2] => 105
[1,3,4,8,2,5,7,6] => 0001001 => [3,1,2,1] => 137
[1,5,7,6,2,3,4,8] => 0011000 => [2,2,3] => 105
[1,5,3,8,2,6,4,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,4,8,3,2,5,7,6] => 0011001 => [2,2,2,1] => 211
[1,4,8,3,5,7,6,2] => 0010011 => [2,1,2,2] => 180
[1,2,4,8,3,5,7,6] => 0001001 => [3,1,2,1] => 137
[1,3,8,4,2,6,7,5] => 0011001 => [2,2,2,1] => 211
[1,4,8,2,3,5,7,6] => 0010001 => [2,1,3,1] => 157
[6,5,7,3,8,2,4,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,2,6,7,5,8,3,1] => 1001011 => [1,2,1,1,2] => 241
[6,7,5,2,1,8,4,3] => 0111011 => [1,3,1,2] => 157
[3,4,8,7,5,2,1,6] => 0011110 => [2,4,1] => 81
[1,7,5,2,8,4,6,3] => 0110101 => [1,2,1,1,1,1] => 345
[5,6,8,3,1,7,2,4] => 0011010 => [2,2,1,1,1] => 255
[6,1,4,8,3,2,7,5] => 1001101 => [1,2,2,1,1] => 295
[3,4,7,1,8,6,2,5] => 0010110 => [2,1,1,2,1] => 241
[3,4,6,8,2,1,5,7] => 0001100 => [3,2,2] => 105
[3,8,2,5,6,1,4,7] => 0100100 => [1,1,2,1,2] => 252
[3,5,2,8,6,4,1,7] => 0101110 => [1,1,1,3,1] => 219
[4,2,5,7,3,8,6,1] => 1001011 => [1,2,1,1,2] => 241
[7,4,2,5,3,8,1,6] => 1101010 => [2,1,1,1,1,1] => 297
[3,1,2,8,5,6,4,7] => 1001010 => [1,2,1,1,1,1] => 345
[5,2,1,6,8,3,4,7] => 1100100 => [2,2,1,2] => 180
[5,2,6,8,4,1,3,7] => 1001100 => [1,2,2,2] => 211
[1,5,6,8,3,4,2,7] => 0001010 => [3,1,1,1,1] => 165
[4,5,8,1,6,3,2,7] => 0010110 => [2,1,1,2,1] => 241
[4,5,1,6,8,3,2,7] => 0100110 => [1,1,2,2,1] => 295
[4,5,7,3,8,2,6,1] => 0010101 => [2,1,1,1,1,1] => 297
[6,4,3,7,8,2,5,1] => 1100101 => [2,2,1,1,1] => 255
[6,4,3,1,7,8,2,5] => 1110010 => [3,2,1,1] => 145
[4,5,3,1,7,8,2,6] => 0110010 => [1,2,2,1,1] => 295
[7,1,3,5,4,8,2,6] => 1001010 => [1,2,1,1,1,1] => 345
[7,5,2,8,1,4,3,6] => 1101010 => [2,1,1,1,1,1] => 297
[5,7,3,8,4,6,1,2] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,4,5,7,3,8,6,2] => 0001011 => [3,1,1,2] => 117
[4,6,3,7,8,5,2,1] => 0100111 => [1,1,2,3] => 145
[5,3,6,7,8,4,2,1] => 1000111 => [1,3,3] => 95
[1,5,3,6,7,8,4,2] => 0100011 => [1,1,3,2] => 171
[4,6,1,7,3,8,5,2] => 0101011 => [1,1,1,1,1,2] => 297
[6,3,7,1,8,4,5,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,7,2,4,8,1,5,3] => 0100101 => [1,1,2,1,1,1] => 359
[2,6,1,4,7,3,8,5] => 0100101 => [1,1,2,1,1,1] => 359
[3,2,5,6,7,8,1,4] => 1000010 => [1,4,1,1] => 107
[5,2,3,6,7,8,4,1] => 1000011 => [1,4,2] => 81
[6,7,1,3,2,8,4,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[6,2,7,1,3,4,8,5] => 1010001 => [1,1,1,3,1] => 219
[5,2,1,7,3,8,4,6] => 1101010 => [2,1,1,1,1,1] => 297
[6,4,2,7,1,8,3,5] => 1101010 => [2,1,1,1,1,1] => 297
[4,2,6,3,7,8,1,5] => 1010010 => [1,1,1,2,1,1] => 359
[4,2,6,3,7,8,5,1] => 1010011 => [1,1,1,2,2] => 255
[6,7,3,8,2,4,5,1] => 0101001 => [1,1,1,1,2,1] => 345
[3,6,2,7,4,1,8,5] => 0101101 => [1,1,1,2,1,1] => 359
[6,7,3,2,1,4,8,5] => 0111001 => [1,3,2,1] => 185
[7,1,8,3,4,2,5,6] => 1010100 => [1,1,1,1,1,2] => 297
[7,2,4,1,8,3,5,6] => 1010100 => [1,1,1,1,1,2] => 297
[7,2,4,8,6,1,3,5] => 1001100 => [1,2,2,2] => 211
[7,3,4,8,6,2,1,5] => 1001110 => [1,2,3,1] => 185
[3,5,7,2,1,8,6,4] => 0011011 => [2,2,1,2] => 180
[6,7,8,3,2,5,1,4] => 0011010 => [2,2,1,1,1] => 255
[6,3,7,8,2,5,4,1] => 1001011 => [1,2,1,1,2] => 241
[2,6,7,4,8,5,3,1] => 0010111 => [2,1,1,3] => 117
[6,2,4,7,1,8,5,3] => 1001011 => [1,2,1,1,2] => 241
[4,6,2,7,1,8,5,3] => 0101011 => [1,1,1,1,1,2] => 297
[1,7,4,8,5,2,6,3] => 0101101 => [1,1,1,2,1,1] => 359
[1,3,7,8,5,2,6,4] => 0001101 => [3,2,1,1] => 145
[2,5,7,8,1,6,3,4] => 0001010 => [3,1,1,1,1] => 165
[6,3,7,1,8,2,5,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[1,6,4,7,8,2,5,3] => 0100101 => [1,1,2,1,1,1] => 359
[2,5,6,1,7,8,4,3] => 0010011 => [2,1,2,2] => 180
[5,6,1,2,7,8,4,3] => 0100011 => [1,1,3,2] => 171
[6,7,2,1,8,5,3,4] => 0110110 => [1,2,1,2,1] => 281
[6,7,2,8,5,4,1,3] => 0101110 => [1,1,1,3,1] => 219
[1,6,7,4,8,5,3,2] => 0010111 => [2,1,1,3] => 117
[1,8,2,4,6,3,5,7] => 0100100 => [1,1,2,1,2] => 252
[1,5,7,4,3,6,2,8] => 0011010 => [2,2,1,1,1] => 255
[1,8,4,5,3,6,2,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,8,5,3,4,7,2,6] => 0110010 => [1,2,2,1,1] => 295
[1,8,2,4,6,3,7,5] => 0100101 => [1,1,2,1,1,1] => 359
[1,8,2,5,4,6,7,3] => 0101001 => [1,1,1,1,2,1] => 345
[3,6,2,7,1,4,5,8] => 0101000 => [1,1,1,1,3] => 165
[1,4,7,5,2,6,8,3] => 0011001 => [2,2,2,1] => 211
[4,6,5,3,7,1,8,2] => 0110101 => [1,2,1,1,1,1] => 345
[4,2,3,8,6,7,1,5] => 1001010 => [1,2,1,1,1,1] => 345
[5,2,4,8,1,3,7,6] => 1001001 => [1,2,1,2,1] => 281
[6,2,5,4,8,3,7,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,4,3,5,8,2,7,1] => 1100101 => [2,2,1,1,1] => 255
[5,2,3,4,8,1,6,7] => 1000100 => [1,3,1,2] => 157
[3,5,2,4,7,1,6,8] => 0100100 => [1,1,2,1,2] => 252
[5,3,4,8,1,6,2,7] => 1001010 => [1,2,1,1,1,1] => 345
[4,5,3,7,1,6,2,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[6,2,4,8,5,1,3,7] => 1001100 => [1,2,2,2] => 211
[7,6,3,8,5,1,2,4] => 1101100 => [2,1,2,2] => 180
[4,2,6,7,3,8,1,5] => 1001010 => [1,2,1,1,1,1] => 345
[1,5,7,4,2,8,6,3] => 0011011 => [2,2,1,2] => 180
[1,3,7,2,8,6,4,5] => 0010110 => [2,1,1,2,1] => 241
[1,4,3,7,8,6,2,5] => 0100110 => [1,1,2,2,1] => 295
[1,5,3,6,8,2,7,4] => 0100101 => [1,1,2,1,1,1] => 359
[4,3,6,5,7,8,1,2] => 1010010 => [1,1,1,2,1,1] => 359
[4,2,3,5,6,8,1,7] => 1000010 => [1,4,1,1] => 107
[4,2,6,7,3,8,5,1] => 1001011 => [1,2,1,1,2] => 241
[3,2,5,6,8,1,7,4] => 1000101 => [1,3,1,1,1] => 219
[6,4,5,2,3,8,7,1] => 1010011 => [1,1,1,2,2] => 255
[8,4,6,7,5,2,3,1] => 1001101 => [1,2,2,1,1] => 295
[4,6,5,2,3,1,8,7] => 0110101 => [1,2,1,1,1,1] => 345
[6,4,2,5,3,1,8,7] => 1101101 => [2,1,2,1,1] => 252
[6,4,2,5,3,8,7,1] => 1101011 => [2,1,1,1,2] => 207
[8,6,4,7,5,2,3,1] => 1101101 => [2,1,2,1,1] => 252
[8,6,2,7,4,5,3,1] => 1101011 => [2,1,1,1,2] => 207
[6,4,2,5,8,7,3,1] => 1100111 => [2,2,3] => 105
[4,6,2,5,3,8,7,1] => 0101011 => [1,1,1,1,1,2] => 297
[4,6,5,2,3,8,7,1] => 0110011 => [1,2,2,2] => 211
[6,8,7,4,5,2,3,1] => 0110101 => [1,2,1,1,1,1] => 345
[4,8,6,7,5,2,3,1] => 0101101 => [1,1,1,2,1,1] => 359
[6,8,4,7,5,2,3,1] => 0101101 => [1,1,1,2,1,1] => 359
[6,8,2,7,4,5,3,1] => 0101011 => [1,1,1,1,1,2] => 297
[8,6,4,7,2,5,3,1] => 1101011 => [2,1,1,1,2] => 207
[8,6,2,4,7,5,3,1] => 1100111 => [2,2,3] => 105
[6,8,2,4,7,5,3,1] => 0100111 => [1,1,2,3] => 145
[4,8,2,6,7,5,3,1] => 0100111 => [1,1,2,3] => 145
[2,8,4,6,7,5,3,1] => 0100111 => [1,1,2,3] => 145
[2,8,6,7,4,5,3,1] => 0101011 => [1,1,1,1,1,2] => 297
[6,8,7,2,4,5,3,1] => 0110011 => [1,2,2,2] => 211
[2,6,4,5,8,7,3,1] => 0100111 => [1,1,2,3] => 145
[2,6,4,8,7,5,3,1] => 0101111 => [1,1,1,4] => 75
[4,6,2,8,7,5,3,1] => 0101111 => [1,1,1,4] => 75
[8,2,4,6,7,5,3,1] => 1000111 => [1,3,3] => 95
[6,2,4,8,7,5,3,1] => 1001111 => [1,2,4] => 65
[4,2,6,8,7,5,3,1] => 1001111 => [1,2,4] => 65
[4,2,6,5,8,7,3,1] => 1010111 => [1,1,1,1,3] => 165
[6,2,4,5,8,7,3,1] => 1000111 => [1,3,3] => 95
[8,2,6,7,4,5,3,1] => 1001011 => [1,2,1,1,2] => 241
[8,6,7,2,4,5,3,1] => 1010011 => [1,1,1,2,2] => 255
[6,4,5,2,8,7,3,1] => 1010111 => [1,1,1,1,3] => 165
[4,2,3,6,8,7,5,1] => 1000111 => [1,3,3] => 95
[6,4,5,8,7,2,3,1] => 1001101 => [1,2,2,1,1] => 295
[8,6,7,4,2,5,3,1] => 1011011 => [1,1,2,1,2] => 252
[8,4,6,7,2,5,3,1] => 1001011 => [1,2,1,1,2] => 241
[6,4,8,7,2,5,3,1] => 1011011 => [1,1,2,1,2] => 252
[6,2,8,7,4,5,3,1] => 1011011 => [1,1,2,1,2] => 252
[6,4,8,7,5,2,3,1] => 1011101 => [1,1,3,1,1] => 233
[4,6,8,7,5,2,3,1] => 0011101 => [2,3,1,1] => 171
[4,6,5,8,7,2,3,1] => 0101101 => [1,1,1,2,1,1] => 359
[2,1,6,8,7,4,5,3] => 1001101 => [1,2,2,1,1] => 295
[2,6,8,7,4,5,3,1] => 0011011 => [2,2,1,2] => 180
[2,4,8,6,7,5,3,1] => 0010111 => [2,1,1,3] => 117
[4,2,8,6,7,5,3,1] => 1010111 => [1,1,1,1,3] => 165
[6,2,8,4,7,5,3,1] => 1010111 => [1,1,1,1,3] => 165
[8,2,6,4,7,5,3,1] => 1010111 => [1,1,1,1,3] => 165
[6,4,8,2,7,5,3,1] => 1010111 => [1,1,1,1,3] => 165
[4,6,8,2,7,5,3,1] => 0010111 => [2,1,1,3] => 117
[2,6,8,4,7,5,3,1] => 0010111 => [2,1,1,3] => 117
[4,6,8,7,2,5,3,1] => 0011011 => [2,2,1,2] => 180
[4,6,5,8,2,7,3,1] => 0101011 => [1,1,1,1,1,2] => 297
[2,1,6,8,4,7,5,3] => 1001011 => [1,2,1,1,2] => 241
[2,1,8,6,4,7,5,3] => 1011011 => [1,1,2,1,2] => 252
[6,8,7,4,2,5,3,1] => 0111011 => [1,3,1,2] => 157
[2,8,6,4,7,5,3,1] => 0110111 => [1,2,1,3] => 137
[4,8,6,2,7,5,3,1] => 0110111 => [1,2,1,3] => 137
[9,8,7,3,6,2,5,1,4] => 11101010 => [3,1,1,1,1,1] => 572
[9,8,7,6,3,5,1,2,4] => 11110100 => [4,1,1,2] => 200
[9,4,8,3,7,2,6,1,5] => 10101010 => [1,1,1,1,1,1,1,1] => 1430
[9,8,4,7,3,6,1,2,5] => 11010100 => [2,1,1,1,1,2] => 704
[9,8,7,2,4,6,1,3,5] => 11100100 => [3,2,1,2] => 371
[9,8,7,4,6,1,2,3,5] => 11101000 => [3,1,1,3] => 242
[5,9,4,8,3,7,1,2,6] => 01010100 => [1,1,1,1,1,1,2] => 1001
[9,5,8,2,4,7,1,3,6] => 10100100 => [1,1,1,2,1,2] => 875
[9,5,8,4,7,1,2,3,6] => 10101000 => [1,1,1,1,1,3] => 572
[9,8,3,5,7,1,2,4,6] => 11001000 => [2,2,1,3] => 365
[9,8,5,7,1,2,3,4,6] => 11010000 => [2,1,1,4] => 200
[6,9,3,5,8,1,2,4,7] => 01001000 => [1,1,2,1,3] => 502
[6,9,5,8,1,2,3,4,7] => 01010000 => [1,1,1,1,4] => 275
[9,2,4,6,8,1,3,5,7] => 10001000 => [1,3,1,3] => 332
[9,4,6,8,1,2,3,5,7] => 10010000 => [1,2,1,4] => 235
[9,6,8,1,2,3,4,5,7] => 10100000 => [1,1,1,5] => 110
[3,5,7,9,1,2,4,6,8] => 00010000 => [3,1,4] => 125
[5,7,9,1,2,3,4,6,8] => 00100000 => [2,1,5] => 83
[7,9,1,2,3,4,5,6,8] => 01000000 => [1,1,6] => 35
[10,9,8,7,6,5,2,4,1,3] => 111111010 => [6,1,1,1] => 154
[10,9,8,7,3,6,2,5,1,4] => 111101010 => [4,1,1,1,1,1] => 1001
[10,9,8,7,6,3,5,1,2,4] => 111110100 => [5,1,1,2] => 319
[10,9,4,8,3,7,2,6,1,5] => 110101010 => [2,1,1,1,1,1,1,1] => 3432
[10,9,8,4,7,3,6,1,2,5] => 111010100 => [3,1,1,1,1,2] => 1430
[10,9,8,7,2,4,6,1,3,5] => 111100100 => [4,2,1,2] => 681
[10,9,8,7,4,6,1,2,3,5] => 111101000 => [4,1,1,3] => 451
[10,5,9,4,8,3,7,1,2,6] => 101010100 => [1,1,1,1,1,1,1,2] => 3432
[10,9,5,8,2,4,7,1,3,6] => 110100100 => [2,1,1,2,1,2] => 2179
[10,9,5,8,4,7,1,2,3,6] => 110101000 => [2,1,1,1,1,3] => 1430
[10,9,8,3,5,7,1,2,4,6] => 111001000 => [3,2,1,3] => 802
[10,9,8,5,7,1,2,3,4,6] => 111010000 => [3,1,1,4] => 451
[6,10,5,9,2,4,8,1,3,7] => 010100100 => [1,1,1,1,2,1,2] => 3054
[6,10,5,9,4,8,1,2,3,7] => 010101000 => [1,1,1,1,1,1,3] => 2002
[10,3,6,9,2,5,8,1,4,7] => 100100100 => [1,2,1,2,1,2] => 2550
[10,6,9,3,5,8,1,2,4,7] => 101001000 => [1,1,1,2,1,3] => 1806
[10,6,9,5,8,1,2,3,4,7] => 101010000 => [1,1,1,1,1,4] => 1001
[10,9,2,4,6,8,1,3,5,7] => 110001000 => [2,3,1,3] => 998
[10,9,4,6,8,1,2,3,5,7] => 110010000 => [2,2,1,4] => 666
[10,9,6,8,1,2,3,4,5,7] => 110100000 => [2,1,1,5] => 319
[4,7,10,3,6,9,1,2,5,8] => 001001000 => [2,1,2,1,3] => 1304
[7,10,2,4,6,9,1,3,5,8] => 010001000 => [1,1,3,1,3] => 1330
[7,10,4,6,9,1,2,3,5,8] => 010010000 => [1,1,2,1,4] => 901
[7,10,6,9,1,2,3,4,5,8] => 010100000 => [1,1,1,1,5] => 429
[10,3,5,7,9,1,2,4,6,8] => 100010000 => [1,3,1,4] => 626
[10,5,7,9,1,2,3,4,6,8] => 100100000 => [1,2,1,5] => 375
[10,7,9,1,2,3,4,5,6,8] => 101000000 => [1,1,1,6] => 154
[4,6,8,10,1,2,3,5,7,9] => 000100000 => [3,1,5] => 209
[6,8,10,1,2,3,4,5,7,9] => 001000000 => [2,1,6] => 119
[4,2,5,6,3,8,1,7] => 1001010 => [1,2,1,1,1,1] => 345
[6,2,5,7,4,8,3,1] => 1001011 => [1,2,1,1,2] => 241
[8,5,2,1,4,7,6,3] => 1110011 => [3,2,2] => 105
[6,7,3,2,5,8,4,1] => 0110011 => [1,2,2,2] => 211
[3,2,6,4,8,1,5,7] => 1010100 => [1,1,1,1,1,2] => 297
[2,3,6,4,7,8,5,1] => 0010011 => [2,1,2,2] => 180
[7,5,1,8,3,4,6,2] => 1101001 => [2,1,1,2,1] => 241
[5,7,8,2,6,3,4,1] => 0010101 => [2,1,1,1,1,1] => 297
[7,1,6,3,5,8,4,2] => 1010011 => [1,1,1,2,2] => 255
[6,3,1,7,8,4,5,2] => 1100101 => [2,2,1,1,1] => 255
[5,3,6,7,4,1,8,2] => 1001101 => [1,2,2,1,1] => 295
[7,3,1,2,5,8,6,4] => 1100011 => [2,3,2] => 126
[1,6,3,5,2,4,8,7] => 0101001 => [1,1,1,1,2,1] => 345
[3,4,8,2,7,5,1,6] => 0010110 => [2,1,1,2,1] => 241
[6,3,2,8,5,7,4,1] => 1101011 => [2,1,1,1,2] => 207
[3,8,4,7,2,5,6,1] => 0101001 => [1,1,1,1,2,1] => 345
[2,4,8,1,5,3,7,6] => 0010101 => [2,1,1,1,1,1] => 297
[3,4,8,1,6,2,7,5] => 0010101 => [2,1,1,1,1,1] => 297
[1,8,4,6,7,3,5,2] => 0100101 => [1,1,2,1,1,1] => 359
[8,1,6,3,4,5,7,2] => 1010001 => [1,1,1,3,1] => 219
[7,6,5,4,1,2,8,3] => 1111001 => [4,2,1] => 65
[5,7,6,8,3,4,2,1] => 0101011 => [1,1,1,1,1,2] => 297
[2,8,1,6,5,7,4,3] => 0101011 => [1,1,1,1,1,2] => 297
[4,6,8,2,5,3,7,1] => 0010101 => [2,1,1,1,1,1] => 297
[5,2,3,7,6,1,8,4] => 1001101 => [1,2,2,1,1] => 295
[8,1,2,4,6,7,3,5] => 1000010 => [1,4,1,1] => 107
[5,2,3,7,4,8,6,1] => 1001011 => [1,2,1,1,2] => 241
[5,2,6,8,4,3,1,7] => 1001110 => [1,2,3,1] => 185
[7,8,1,5,4,3,6,2] => 0101101 => [1,1,1,2,1,1] => 359
[7,2,4,8,5,3,6,1] => 1001101 => [1,2,2,1,1] => 295
[3,7,5,1,8,4,6,2] => 0110101 => [1,2,1,1,1,1] => 345
[2,7,8,5,4,6,1,3] => 0011010 => [2,2,1,1,1] => 255
[5,7,4,3,8,6,2,1] => 0110111 => [1,2,1,3] => 137
[4,8,1,6,3,5,2,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[8,3,1,7,4,2,5,6] => 1101100 => [2,1,2,2] => 180
[3,1,8,2,4,5,7,6] => 1010001 => [1,1,1,3,1] => 219
[8,1,3,7,6,2,4,5] => 1001100 => [1,2,2,2] => 211
[2,3,6,8,7,1,4,5] => 0001100 => [3,2,2] => 105
[4,3,2,8,5,7,1,6] => 1101010 => [2,1,1,1,1,1] => 297
[3,6,4,2,8,5,7,1] => 0110101 => [1,2,1,1,1,1] => 345
[4,7,3,2,5,1,8,6] => 0110101 => [1,2,1,1,1,1] => 345
[3,2,4,7,5,8,6,1] => 1001011 => [1,2,1,1,2] => 241
[4,2,3,8,6,5,1,7] => 1001110 => [1,2,3,1] => 185
[2,4,3,5,1,8,6,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,2,8,1,4,6,5,7] => 1010010 => [1,1,1,2,1,1] => 359
[3,7,8,5,6,1,2,4] => 0010100 => [2,1,1,1,2] => 207
[3,6,1,8,4,7,2,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,1,6,8,4,7,2,5] => 1001010 => [1,2,1,1,1,1] => 345
[4,1,6,8,3,2,7,5] => 1001101 => [1,2,2,1,1] => 295
[4,6,1,8,3,2,7,5] => 0101101 => [1,1,1,2,1,1] => 359
[4,7,8,1,3,2,6,5] => 0010101 => [2,1,1,1,1,1] => 297
[4,7,8,3,1,2,6,5] => 0011001 => [2,2,2,1] => 211
[2,7,8,3,4,6,5,1] => 0010011 => [2,1,2,2] => 180
[4,7,8,2,1,3,6,5] => 0011001 => [2,2,2,1] => 211
[4,6,1,8,2,3,7,5] => 0101001 => [1,1,1,1,2,1] => 345
[4,1,6,8,2,3,7,5] => 1001001 => [1,2,1,2,1] => 281
[4,5,1,2,8,3,7,6] => 0100101 => [1,1,2,1,1,1] => 359
[4,5,2,1,8,3,7,6] => 0110101 => [1,2,1,1,1,1] => 345
[4,6,2,8,1,3,7,5] => 0101001 => [1,1,1,1,2,1] => 345
[3,6,2,8,4,7,1,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,3,6,8,4,7,5,1] => 0001011 => [3,1,1,2] => 117
[3,2,6,8,4,7,1,5] => 1001010 => [1,2,1,1,1,1] => 345
[4,2,6,8,3,1,7,5] => 1001101 => [1,2,2,1,1] => 295
[4,2,5,1,8,3,7,6] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,1,2,5,8,3,7,6] => 1000101 => [1,3,1,1,1] => 219
[5,1,2,4,3,8,7,6] => 1001011 => [1,2,1,1,2] => 241
[5,2,4,1,3,8,7,6] => 1010011 => [1,1,1,2,2] => 255
[4,2,5,3,8,1,7,6] => 1010101 => [1,1,1,1,1,1,1] => 429
[3,2,5,4,8,7,1,6] => 1010110 => [1,1,1,1,2,1] => 345
[3,5,2,4,8,7,1,6] => 0100110 => [1,1,2,2,1] => 295
[5,4,2,1,3,8,7,6] => 1110011 => [3,2,2] => 105
[5,1,4,2,3,8,7,6] => 1010011 => [1,1,1,2,2] => 255
[5,4,1,3,2,8,7,6] => 1101011 => [2,1,1,1,2] => 207
[5,4,3,1,2,8,7,6] => 1110011 => [3,2,2] => 105
[4,5,3,1,8,2,7,6] => 0110101 => [1,2,1,1,1,1] => 345
[4,5,1,3,8,2,7,6] => 0100101 => [1,1,2,1,1,1] => 359
[3,1,5,4,8,7,2,6] => 1010110 => [1,1,1,1,2,1] => 345
[3,5,1,4,8,7,2,6] => 0100110 => [1,1,2,2,1] => 295
[3,5,4,1,8,7,2,6] => 0110110 => [1,2,1,2,1] => 281
[3,6,5,8,7,1,2,4] => 0101100 => [1,1,1,2,2] => 255
[2,5,6,8,7,3,4,1] => 0001101 => [3,2,1,1] => 145
[3,4,5,1,8,7,2,6] => 0010110 => [2,1,1,2,1] => 241
[3,4,1,5,8,7,2,6] => 0100110 => [1,1,2,2,1] => 295
[4,1,3,5,8,2,7,6] => 1000101 => [1,3,1,1,1] => 219
[4,3,6,8,2,1,7,5] => 1001101 => [1,2,2,1,1] => 295
[2,4,6,8,3,7,5,1] => 0001011 => [3,1,1,2] => 117
[3,4,5,2,8,7,1,6] => 0010110 => [2,1,1,2,1] => 241
[5,3,1,4,2,8,7,6] => 1101011 => [2,1,1,1,2] => 207
[5,1,3,4,2,8,7,6] => 1001011 => [1,2,1,1,2] => 241
[5,1,3,2,4,8,7,6] => 1010011 => [1,1,1,2,2] => 255
[5,3,2,1,4,8,7,6] => 1110011 => [3,2,2] => 105
[4,3,2,5,8,1,7,6] => 1100101 => [2,2,1,1,1] => 255
[3,4,2,5,8,7,1,6] => 0100110 => [1,1,2,2,1] => 295
[3,2,4,5,8,7,1,6] => 1000110 => [1,3,2,1] => 185
[4,2,3,5,8,1,7,6] => 1000101 => [1,3,1,1,1] => 219
[5,2,3,1,4,8,7,6] => 1010011 => [1,1,1,2,2] => 255
[5,2,1,3,4,8,7,6] => 1100011 => [2,3,2] => 126
[5,1,2,3,4,8,7,6] => 1000011 => [1,4,2] => 81
[8,6,2,5,4,1,3,7] => 1101100 => [2,1,2,2] => 180
[6,5,7,4,2,8,3,1] => 1011011 => [1,1,2,1,2] => 252
[6,7,5,3,8,2,4,1] => 0110101 => [1,2,1,1,1,1] => 345
[8,2,1,6,3,4,5,7] => 1101000 => [2,1,1,3] => 117
[8,3,5,6,2,4,1,7] => 1001010 => [1,2,1,1,1,1] => 345
[8,6,2,1,3,5,4,7] => 1110010 => [3,2,1,1] => 145
[8,1,2,3,4,6,5,7] => 1000010 => [1,4,1,1] => 107
[6,2,3,7,8,4,5,1] => 1000101 => [1,3,1,1,1] => 219
[7,5,8,2,6,3,4,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,3,1,6,5,8,4,2] => 1101011 => [2,1,1,1,2] => 207
[1,5,6,7,3,4,8,2] => 0001001 => [3,1,2,1] => 137
[6,7,8,2,1,4,5,3] => 0011001 => [2,2,2,1] => 211
[8,4,7,6,2,1,3,5] => 1011100 => [1,1,3,2] => 171
[5,3,8,4,7,2,6,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,1,3,7,6,4,2,5] => 1001110 => [1,2,3,1] => 185
[5,3,1,7,8,6,2,4] => 1100110 => [2,2,2,1] => 211
[3,5,8,2,7,1,6,4] => 0010101 => [2,1,1,1,1,1] => 297
[6,2,8,5,3,1,7,4] => 1011101 => [1,1,3,1,1] => 233
[8,2,6,4,7,1,3,5] => 1010100 => [1,1,1,1,1,2] => 297
[3,4,2,8,5,1,7,6] => 0101101 => [1,1,1,2,1,1] => 359
[3,8,6,5,2,1,7,4] => 0111101 => [1,4,1,1] => 107
[8,3,7,4,2,5,6,1] => 1011001 => [1,1,2,2,1] => 295
[4,8,5,7,2,1,3,6] => 0101100 => [1,1,1,2,2] => 255
[3,4,1,8,2,6,7,5] => 0101001 => [1,1,1,1,2,1] => 345
[8,4,6,3,7,1,5,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,8,3,4,1,5,7,2] => 0101001 => [1,1,1,1,2,1] => 345
[5,1,7,6,2,8,4,3] => 1011011 => [1,1,2,1,2] => 252
[6,8,2,5,7,4,1,3] => 0100110 => [1,1,2,2,1] => 295
[2,8,5,6,7,1,3,4] => 0100100 => [1,1,2,1,2] => 252
[2,5,7,6,3,1,8,4] => 0011101 => [2,3,1,1] => 171
[4,2,8,3,1,5,6,7] => 1011000 => [1,1,2,3] => 145
[2,5,7,3,8,4,6,1] => 0010101 => [2,1,1,1,1,1] => 297
[4,2,7,1,8,5,3,6] => 1010110 => [1,1,1,1,2,1] => 345
[4,2,1,8,7,5,6,3] => 1101101 => [2,1,2,1,1] => 252
[8,3,6,7,1,5,4,2] => 1001011 => [1,2,1,1,2] => 241
[1,3,7,5,8,6,4,2] => 0010111 => [2,1,1,3] => 117
[5,7,8,4,3,1,6,2] => 0011101 => [2,3,1,1] => 171
[2,7,4,5,8,3,6,1] => 0100101 => [1,1,2,1,1,1] => 359
[3,5,7,1,4,8,6,2] => 0010011 => [2,1,2,2] => 180
[7,2,8,5,1,4,6,3] => 1011001 => [1,1,2,2,1] => 295
[1,6,5,3,8,4,2,7] => 0110110 => [1,2,1,2,1] => 281
[5,7,4,8,3,6,2,1] => 0101011 => [1,1,1,1,1,2] => 297
[4,8,6,1,3,5,2,7] => 0110010 => [1,2,2,1,1] => 295
[1,8,3,2,4,7,5,6] => 0110010 => [1,2,2,1,1] => 295
[8,4,3,2,5,7,1,6] => 1110010 => [3,2,1,1] => 145
[3,6,4,8,2,5,7,1] => 0101001 => [1,1,1,1,2,1] => 345
[4,3,7,2,5,8,1,6] => 1010010 => [1,1,1,2,1,1] => 359
[3,2,4,7,8,5,6,1] => 1000101 => [1,3,1,1,1] => 219
[2,6,4,3,8,5,1,7] => 0110110 => [1,2,1,2,1] => 281
[3,8,2,1,6,4,5,7] => 0110100 => [1,2,1,1,2] => 241
[8,2,1,3,4,5,7,6] => 1100001 => [2,4,1] => 81
[4,6,8,3,2,1,5,7] => 0011100 => [2,3,2] => 126
[3,2,6,8,5,4,1,7] => 1001110 => [1,2,3,1] => 185
[7,3,8,2,5,4,1,6] => 1010110 => [1,1,1,1,2,1] => 345
[4,2,5,3,8,7,6,1] => 1010111 => [1,1,1,1,3] => 165
[4,8,2,6,5,3,1,7] => 0101110 => [1,1,1,3,1] => 219
[2,6,8,5,4,1,3,7] => 0011100 => [2,3,2] => 126
[3,1,8,6,5,4,2,7] => 1011110 => [1,1,4,1] => 107
[5,4,8,7,3,2,6,1] => 1011101 => [1,1,3,1,1] => 233
[6,4,8,3,7,2,5,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,7,3,6,2,1,8,5] => 0101101 => [1,1,1,2,1,1] => 359
[5,4,3,7,1,8,2,6] => 1101010 => [2,1,1,1,1,1] => 297
[7,3,8,5,1,4,2,6] => 1011010 => [1,1,2,1,1,1] => 359
[5,4,8,7,6,2,1,3] => 1011110 => [1,1,4,1] => 107
[3,8,1,5,7,4,6,2] => 0100101 => [1,1,2,1,1,1] => 359
[4,8,5,7,3,1,6,2] => 0101101 => [1,1,1,2,1,1] => 359
[1,5,4,8,3,7,6,2] => 0101011 => [1,1,1,1,1,2] => 297
[4,8,3,6,7,1,5,2] => 0100101 => [1,1,2,1,1,1] => 359
[4,7,8,3,1,6,5,2] => 0011011 => [2,2,1,2] => 180
[8,7,5,3,6,4,2,1] => 1110111 => [3,1,3] => 69
[4,6,1,3,8,7,5,2] => 0100111 => [1,1,2,3] => 145
[6,8,2,1,7,4,5,3] => 0110101 => [1,2,1,1,1,1] => 345
[3,7,1,6,4,2,8,5] => 0101101 => [1,1,1,2,1,1] => 359
[3,1,2,7,5,6,8,4] => 1001001 => [1,2,1,2,1] => 281
[3,6,1,2,7,5,8,4] => 0100101 => [1,1,2,1,1,1] => 359
[3,7,6,2,5,8,1,4] => 0110010 => [1,2,2,1,1] => 295
[3,6,2,5,8,7,4,1] => 0100111 => [1,1,2,3] => 145
[8,5,2,3,6,7,4,1] => 1100011 => [2,3,2] => 126
[4,7,2,6,3,8,1,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[6,3,2,4,8,7,5,1] => 1100111 => [2,2,3] => 105
[3,7,2,4,6,1,8,5] => 0100101 => [1,1,2,1,1,1] => 359
[5,3,7,2,8,1,4,6] => 1010100 => [1,1,1,1,1,2] => 297
[6,3,2,8,7,5,1,4] => 1101110 => [2,1,3,1] => 157
[7,3,8,2,6,5,1,4] => 1010110 => [1,1,1,1,2,1] => 345
[6,4,8,7,2,5,1,3] => 1011010 => [1,1,2,1,1,1] => 359
[2,5,4,8,1,7,6,3] => 0101011 => [1,1,1,1,1,2] => 297
[5,2,8,1,7,6,3,4] => 1010110 => [1,1,1,1,2,1] => 345
[6,2,1,3,8,7,5,4] => 1100111 => [2,2,3] => 105
[3,6,1,8,7,5,2,4] => 0101110 => [1,1,1,3,1] => 219
[5,6,1,2,8,7,4,3] => 0100111 => [1,1,2,3] => 145
[7,5,2,8,1,6,4,3] => 1101011 => [2,1,1,1,2] => 207
[2,7,6,8,1,5,4,3] => 0101011 => [1,1,1,1,1,2] => 297
[7,8,5,1,6,2,4,3] => 0110101 => [1,2,1,1,1,1] => 345
[7,4,8,6,1,2,5,3] => 1011001 => [1,1,2,2,1] => 295
[7,2,1,8,3,6,5,4] => 1101011 => [2,1,1,1,2] => 207
[5,8,7,1,6,4,3,2] => 0110111 => [1,2,1,3] => 137
[7,6,5,4,3,2,9,8,1] => 11111011 => [5,1,2] => 83
[10,7,6,5,4,3,2,1,9,8] => 111111101 => [7,1,1] => 44
[9,6,5,4,3,2,8,1,7] => 11111010 => [5,1,1,1] => 110
[9,7,5,4,3,2,1,8,6] => 11111101 => [6,1,1] => 35
[8,5,4,3,7,2,1,6] => 1110110 => [3,1,2,1] => 137
[6,5,4,8,3,2,7,1] => 1101101 => [2,1,2,1,1] => 252
[7,6,5,4,3,9,2,8,1] => 11110101 => [4,1,1,1,1] => 275
[7,6,4,3,2,8,5,1] => 1111011 => [4,1,2] => 55
[8,6,5,4,3,2,9,7,1] => 11111011 => [5,1,2] => 83
[8,7,6,5,4,3,2,10,9,1] => 111111011 => [6,1,2] => 119
[7,3,1,4,8,2,5,6] => 1100100 => [2,2,1,2] => 180
[7,4,1,2,5,8,3,6] => 1100010 => [2,3,1,1] => 171
[6,7,4,2,5,1,3,8] => 0110100 => [1,2,1,1,2] => 241
[5,7,2,4,6,8,1,3] => 0100010 => [1,1,3,1,1] => 233
[4,7,5,1,6,2,8,3] => 0110101 => [1,2,1,1,1,1] => 345
[5,7,4,6,3,1,8,2] => 0101101 => [1,1,1,2,1,1] => 359
[7,5,1,4,3,2,8,6] => 1101101 => [2,1,2,1,1] => 252
[8,6,4,2,3,7,5,1] => 1110011 => [3,2,2] => 105
[6,4,7,1,3,8,5,2] => 1010011 => [1,1,1,2,2] => 255
[5,4,2,7,3,1,6,8] => 1101100 => [2,1,2,2] => 180
[4,5,1,2,7,6,8,3] => 0100101 => [1,1,2,1,1,1] => 359
[5,4,6,8,3,1,2,7] => 1001100 => [1,2,2,2] => 211
[6,4,8,1,3,7,2,5] => 1010010 => [1,1,1,2,1,1] => 359
[4,6,1,3,8,5,2,7] => 0100110 => [1,1,2,2,1] => 295
[1,3,8,4,5,7,2,6] => 0010010 => [2,1,2,1,1] => 252
[2,6,7,4,5,3,1,8] => 0010110 => [2,1,1,2,1] => 241
[2,6,8,4,3,5,1,7] => 0011010 => [2,2,1,1,1] => 255
[1,3,7,4,2,8,5,6] => 0011010 => [2,2,1,1,1] => 255
[4,6,1,3,7,2,5,8] => 0100100 => [1,1,2,1,2] => 252
[7,5,8,6,2,1,3,4] => 1011100 => [1,1,3,2] => 171
[2,8,1,3,6,5,4,7] => 0100110 => [1,1,2,2,1] => 295
[2,8,7,3,5,4,1,6] => 0110110 => [1,2,1,2,1] => 281
[3,4,2,6,8,7,1,5] => 0100110 => [1,1,2,2,1] => 295
[7,4,2,3,6,1,8,5] => 1100101 => [2,2,1,1,1] => 255
[8,4,2,3,6,5,7,1] => 1100101 => [2,2,1,1,1] => 255
[7,3,8,4,1,2,6,5] => 1011001 => [1,1,2,2,1] => 295
[6,8,3,2,7,1,5,4] => 0110101 => [1,2,1,1,1,1] => 345
[2,8,5,6,3,7,1,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[7,4,2,5,8,1,6,3] => 1100101 => [2,2,1,1,1] => 255
[2,7,8,3,4,5,1,6] => 0010010 => [2,1,2,1,1] => 252
[3,7,1,2,4,6,5,8] => 0100010 => [1,1,3,1,1] => 233
[7,5,6,8,2,1,4,3] => 1001101 => [1,2,2,1,1] => 295
[3,1,6,5,2,7,4,8] => 1011010 => [1,1,2,1,1,1] => 359
[2,8,6,5,3,4,1,7] => 0111010 => [1,3,1,1,1] => 219
[1,7,2,3,5,6,8,4] => 0100001 => [1,1,4,1] => 107
[3,7,4,2,1,5,6,8] => 0111000 => [1,3,3] => 95
[3,4,6,2,8,5,7,1] => 0010101 => [2,1,1,1,1,1] => 297
[4,2,1,7,5,8,3,6] => 1101010 => [2,1,1,1,1,1] => 297
[4,7,2,6,5,1,3,8] => 0101100 => [1,1,1,2,2] => 255
[3,7,4,1,2,5,8,6] => 0110001 => [1,2,3,1] => 185
[4,7,1,6,5,2,8,3] => 0101101 => [1,1,1,2,1,1] => 359
[4,7,3,6,5,1,8,2] => 0101101 => [1,1,1,2,1,1] => 359
[4,3,7,1,6,8,5,2] => 1010011 => [1,1,1,2,2] => 255
[4,2,1,7,5,6,8,3] => 1101001 => [2,1,1,2,1] => 241
[3,2,4,8,6,7,1,5] => 1001010 => [1,2,1,1,1,1] => 345
[4,2,6,8,7,3,1,5] => 1001110 => [1,2,3,1] => 185
[3,4,6,1,8,5,2,7] => 0010110 => [2,1,1,2,1] => 241
[4,1,6,7,5,8,2,3] => 1001010 => [1,2,1,1,1,1] => 345
[4,3,6,7,5,1,2,8] => 1001100 => [1,2,2,2] => 211
[4,3,7,1,6,8,2,5] => 1010010 => [1,1,1,2,1,1] => 359
[4,3,7,5,6,8,2,1] => 1010011 => [1,1,1,2,2] => 255
[4,1,7,3,6,5,2,8] => 1010110 => [1,1,1,1,2,1] => 345
[2,8,7,4,5,3,1,6] => 0110110 => [1,2,1,2,1] => 281
[2,8,7,4,3,5,1,6] => 0111010 => [1,3,1,1,1] => 219
[3,8,1,4,2,6,5,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,1,7,3,6,2,5,8] => 1010100 => [1,1,1,1,1,2] => 297
[5,8,7,6,1,2,4,3] => 0111001 => [1,3,2,1] => 185
[5,8,7,6,2,1,3,4] => 0111100 => [1,4,2] => 81
[4,1,7,2,6,8,5,3] => 1010011 => [1,1,1,2,2] => 255
[4,2,7,3,6,1,8,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,2,7,3,6,5,8,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[3,8,2,4,5,6,7,1] => 0100001 => [1,1,4,1] => 107
[3,8,2,4,1,6,7,5] => 0101001 => [1,1,1,1,2,1] => 345
[3,8,5,6,2,4,1,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,8,6,5,3,7,1,4] => 0111010 => [1,3,1,1,1] => 219
[3,8,6,5,1,4,7,2] => 0111001 => [1,3,2,1] => 185
[3,8,2,1,4,6,7,5] => 0110001 => [1,2,3,1] => 185
[3,8,2,5,4,6,7,1] => 0101001 => [1,1,1,1,2,1] => 345
[4,2,7,5,6,3,8,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,2,7,5,6,1,8,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,2,6,7,5,3,1,8] => 1001110 => [1,2,3,1] => 185
[3,2,6,1,4,5,8,7] => 1010001 => [1,1,1,3,1] => 219
[2,8,7,3,4,5,1,6] => 0110010 => [1,2,2,1,1] => 295
[3,8,1,2,4,6,5,7] => 0100010 => [1,1,3,1,1] => 233
[5,8,7,6,1,3,4,2] => 0111001 => [1,3,2,1] => 185
[5,8,7,6,2,3,4,1] => 0111001 => [1,3,2,1] => 185
[4,1,7,5,6,2,3,8] => 1010100 => [1,1,1,1,1,2] => 297
[3,8,1,5,2,6,4,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,8,7,5,3,4,1,6] => 0111010 => [1,3,1,1,1] => 219
[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] => 345
[5,8,7,6,1,3,2,4] => 0111010 => [1,3,1,1,1] => 219
[5,8,7,6,4,1,2,3] => 0111100 => [1,4,2] => 81
[5,4,2,3,7,6,8,1] => 1100101 => [2,2,1,1,1] => 255
[7,4,3,5,2,8,1,6] => 1101010 => [2,1,1,1,1,1] => 297
[8,4,3,7,5,1,6,2] => 1101101 => [2,1,2,1,1] => 252
[8,4,7,2,5,1,6,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,4,6,2,3,5,8,1] => 1010001 => [1,1,1,3,1] => 219
[5,1,7,2,4,6,8,3] => 1010001 => [1,1,1,3,1] => 219
[4,5,7,1,2,6,8,3] => 0010001 => [2,1,3,1] => 157
[5,4,1,7,3,6,8,2] => 1101001 => [2,1,1,2,1] => 241
[3,6,4,7,5,2,8,1] => 0101101 => [1,1,1,2,1,1] => 359
[3,4,7,6,2,5,8,1] => 0011001 => [2,2,2,1] => 211
[4,7,5,6,1,3,8,2] => 0101001 => [1,1,1,1,2,1] => 345
[5,7,6,4,3,1,8,2] => 0111101 => [1,4,1,1] => 107
[5,7,6,3,1,4,8,2] => 0111001 => [1,3,2,1] => 185
[7,5,2,3,4,8,1,6] => 1100010 => [2,3,1,1] => 171
[8,7,5,3,4,1,6,2] => 1110101 => [3,1,1,1,1] => 165
[6,7,1,3,8,4,2,5] => 0100110 => [1,1,2,2,1] => 295
[7,6,1,3,4,8,5,2] => 1100011 => [2,3,2] => 126
[3,6,5,2,7,8,1,4] => 0110010 => [1,2,2,1,1] => 295
[3,2,8,6,7,1,4,5] => 1010100 => [1,1,1,1,1,2] => 297
[4,8,3,6,5,2,1,7] => 0101110 => [1,1,1,3,1] => 219
[1,8,6,5,4,2,3,7] => 0111100 => [1,4,2] => 81
[1,8,7,2,3,5,4,6] => 0110010 => [1,2,2,1,1] => 295
[1,8,7,2,5,3,4,6] => 0110100 => [1,2,1,1,2] => 241
[3,6,8,5,1,2,4,7] => 0011000 => [2,2,3] => 105
[3,7,5,1,8,2,6,4] => 0110101 => [1,2,1,1,1,1] => 345
[7,1,2,8,3,5,6,4] => 1001001 => [1,2,1,2,1] => 281
[6,1,7,8,2,5,3,4] => 1001010 => [1,2,1,1,1,1] => 345
[6,7,5,2,8,1,4,3] => 0110101 => [1,2,1,1,1,1] => 345
[7,1,4,5,8,6,2,3] => 1000110 => [1,3,2,1] => 185
[5,7,6,4,2,8,1,3] => 0111010 => [1,3,1,1,1] => 219
[7,5,6,1,2,8,4,3] => 1010011 => [1,1,1,2,2] => 255
[4,1,3,7,8,6,2,5] => 1000110 => [1,3,2,1] => 185
[5,1,4,3,6,8,7,2] => 1010011 => [1,1,1,2,2] => 255
[4,5,7,6,8,2,1,3] => 0010110 => [2,1,1,2,1] => 241
[5,7,6,8,4,2,1,3] => 0101110 => [1,1,1,3,1] => 219
[5,1,6,8,4,2,7,3] => 1001101 => [1,2,2,1,1] => 295
[7,4,8,2,3,6,5,1] => 1010011 => [1,1,1,2,2] => 255
[5,6,8,4,7,3,2,1] => 0010111 => [2,1,1,3] => 117
[6,4,7,8,5,2,1,3] => 1001110 => [1,2,3,1] => 185
[3,6,4,8,5,1,2,7] => 0101100 => [1,1,1,2,2] => 255
[3,7,4,8,1,2,5,6] => 0101000 => [1,1,1,1,3] => 165
[7,4,3,8,2,6,5,1] => 1101011 => [2,1,1,1,2] => 207
[7,6,8,3,2,5,4,1] => 1011011 => [1,1,2,1,2] => 252
[8,7,1,3,5,4,6,2] => 1100101 => [2,2,1,1,1] => 255
[7,1,8,3,4,2,6,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,6,8,3,1,4,5,2] => 1011001 => [1,1,2,2,1] => 295
[3,1,4,8,2,5,7,6] => 1001001 => [1,2,1,2,1] => 281
[4,8,5,2,1,3,6,7] => 0111000 => [1,3,3] => 95
[5,8,2,6,3,1,4,7] => 0101100 => [1,1,1,2,2] => 255
[6,8,2,3,7,4,1,5] => 0100110 => [1,1,2,2,1] => 295
[7,8,2,3,4,6,5,1] => 0100011 => [1,1,3,2] => 171
[8,1,7,2,4,5,3,6] => 1010010 => [1,1,1,2,1,1] => 359
[8,1,3,6,2,5,4,7] => 1001010 => [1,2,1,1,1,1] => 345
[7,2,1,6,3,5,4,8] => 1101010 => [2,1,1,1,1,1] => 297
[2,7,1,6,3,5,4,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,7,1,5,4,3,6,8] => 0101100 => [1,1,1,2,2] => 255
[7,2,1,5,4,3,6,8] => 1101100 => [2,1,2,2] => 180
[8,1,3,5,4,2,6,7] => 1001100 => [1,2,2,2] => 211
[8,1,5,3,4,2,6,7] => 1010100 => [1,1,1,1,1,2] => 297
[8,1,5,6,2,3,7,4] => 1001001 => [1,2,1,2,1] => 281
[8,1,4,5,3,2,6,7] => 1001100 => [1,2,2,2] => 211
[8,1,4,3,5,2,6,7] => 1010100 => [1,1,1,1,1,2] => 297
[7,2,1,4,5,3,6,8] => 1100100 => [2,2,1,2] => 180
[2,7,1,4,5,3,6,8] => 0100100 => [1,1,2,1,2] => 252
[2,6,3,1,5,4,7,8] => 0110100 => [1,2,1,1,2] => 241
[6,3,2,1,5,4,7,8] => 1110100 => [3,1,1,2] => 117
[7,3,1,4,5,2,6,8] => 1100100 => [2,2,1,2] => 180
[7,3,1,5,4,2,6,8] => 1101100 => [2,1,2,2] => 180
[7,3,1,6,2,5,4,8] => 1101010 => [2,1,1,1,1,1] => 297
[3,7,1,6,2,5,4,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,7,1,4,5,2,6,8] => 0100100 => [1,1,2,1,2] => 252
[3,6,2,1,5,4,7,8] => 0110100 => [1,2,1,1,2] => 241
[2,3,6,1,5,4,7,8] => 0010100 => [2,1,1,1,2] => 207
[3,5,2,4,1,6,7,8] => 0101000 => [1,1,1,1,3] => 165
[6,3,4,1,5,2,7,8] => 1010100 => [1,1,1,1,1,2] => 297
[6,2,4,1,5,3,7,8] => 1010100 => [1,1,1,1,1,2] => 297
[2,6,4,1,5,3,7,8] => 0110100 => [1,2,1,1,2] => 241
[2,6,5,1,3,7,4,8] => 0110010 => [1,2,2,1,1] => 295
[6,2,5,1,3,7,4,8] => 1010010 => [1,1,1,2,1,1] => 359
[6,5,2,1,3,7,4,8] => 1110010 => [3,2,1,1] => 145
[7,6,1,2,4,5,3,8] => 1100010 => [2,3,1,1] => 171
[6,7,1,2,8,3,5,4] => 0100101 => [1,1,2,1,1,1] => 359
[6,7,1,2,5,4,3,8] => 0100110 => [1,1,2,2,1] => 295
[5,6,2,1,3,7,4,8] => 0110010 => [1,2,2,1,1] => 295
[5,2,6,1,3,7,4,8] => 1010010 => [1,1,1,2,1,1] => 359
[2,4,6,1,5,3,7,8] => 0010100 => [2,1,1,1,2] => 207
[4,7,1,3,5,2,6,8] => 0100100 => [1,1,2,1,2] => 252
[4,7,1,5,3,2,6,8] => 0101100 => [1,1,1,2,2] => 255
[5,7,1,4,2,6,3,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,7,1,6,2,3,8,4] => 0101001 => [1,1,1,1,2,1] => 345
[5,6,3,1,2,7,4,8] => 0110010 => [1,2,2,1,1] => 295
[4,2,5,3,1,6,7,8] => 1011000 => [1,1,2,3] => 145
[5,3,6,1,2,7,4,8] => 1010010 => [1,1,1,2,1,1] => 359
[3,4,6,1,5,2,7,8] => 0010100 => [2,1,1,1,2] => 207
[6,5,1,8,7,3,4,2] => 1101101 => [2,1,2,1,1] => 252
[8,2,7,5,4,1,3,6] => 1011100 => [1,1,3,2] => 171
[6,8,5,2,3,4,1,7] => 0110010 => [1,2,2,1,1] => 295
[2,6,8,7,1,5,3,4] => 0011010 => [2,2,1,1,1] => 255
[8,5,6,2,7,1,4,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,5,1,2,7,8,4,3] => 1100011 => [2,3,2] => 126
[4,7,6,1,5,3,8,2] => 0110101 => [1,2,1,1,1,1] => 345
[5,7,6,4,1,3,8,2] => 0111001 => [1,3,2,1] => 185
[7,6,2,4,5,3,8,1] => 1100101 => [2,2,1,1,1] => 255
[6,1,7,5,3,8,4,2] => 1011011 => [1,1,2,1,2] => 252
[8,6,7,5,3,1,4,2] => 1011101 => [1,1,3,1,1] => 233
[8,5,2,7,1,6,4,3] => 1101011 => [2,1,1,1,2] => 207
[7,6,1,5,3,8,4,2] => 1101011 => [2,1,1,1,2] => 207
[5,6,2,4,7,8,1,3] => 0100010 => [1,1,3,1,1] => 233
[3,4,6,1,7,8,5,2] => 0010011 => [2,1,2,2] => 180
[3,4,8,6,7,1,5,2] => 0010101 => [2,1,1,1,1,1] => 297
[4,8,5,6,7,2,3,1] => 0100101 => [1,1,2,1,1,1] => 359
[5,8,6,4,1,2,7,3] => 0111001 => [1,3,2,1] => 185
[5,8,6,1,7,2,4,3] => 0110101 => [1,2,1,1,1,1] => 345
[5,8,7,3,2,6,4,1] => 0111011 => [1,3,1,2] => 157
[5,8,1,7,2,6,4,3] => 0101011 => [1,1,1,1,1,2] => 297
[8,1,5,7,2,6,4,3] => 1001011 => [1,2,1,1,2] => 241
[8,1,7,2,5,6,3,4] => 1010010 => [1,1,1,2,1,1] => 359
[6,8,7,2,5,1,3,4] => 0110100 => [1,2,1,1,2] => 241
[5,8,7,2,1,6,3,4] => 0111010 => [1,3,1,1,1] => 219
[4,8,1,5,2,6,7,3] => 0101001 => [1,1,1,1,2,1] => 345
[3,7,8,5,1,6,2,4] => 0011010 => [2,2,1,1,1] => 255
[6,5,2,7,8,1,4,3] => 1100101 => [2,2,1,1,1] => 255
[7,1,2,8,5,6,3,4] => 1001010 => [1,2,1,1,1,1] => 345
[8,7,2,1,5,6,3,4] => 1110010 => [3,2,1,1] => 145
[8,6,7,1,5,2,3,4] => 1010100 => [1,1,1,1,1,2] => 297
[6,1,7,8,5,2,3,4] => 1001100 => [1,2,2,2] => 211
[7,5,6,2,1,8,4,3] => 1011011 => [1,1,2,1,2] => 252
[8,7,5,2,1,6,4,3] => 1111011 => [4,1,2] => 55
[7,1,3,5,8,6,2,4] => 1000110 => [1,3,2,1] => 185
[5,1,3,4,6,8,7,2] => 1000011 => [1,4,2] => 81
[4,5,3,6,8,2,7,1] => 0100101 => [1,1,2,1,1,1] => 359
[5,6,3,4,8,1,7,2] => 0100101 => [1,1,2,1,1,1] => 359
[4,6,7,8,5,1,3,2] => 0001101 => [3,2,1,1] => 145
[8,4,3,1,2,6,7,5] => 1110001 => [3,3,1] => 95
[8,5,1,6,3,4,7,2] => 1101001 => [2,1,1,2,1] => 241
[5,1,8,6,3,4,7,2] => 1011001 => [1,1,2,2,1] => 295
[4,6,8,1,5,3,7,2] => 0010101 => [2,1,1,1,1,1] => 297
[6,4,5,8,3,2,7,1] => 1001101 => [1,2,2,1,1] => 295
[3,6,4,8,7,1,5,2] => 0101101 => [1,1,1,2,1,1] => 359
[6,5,8,1,3,4,7,2] => 1010001 => [1,1,1,3,1] => 219
[5,6,8,3,1,2,7,4] => 0011001 => [2,2,2,1] => 211
[6,1,8,3,5,2,7,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,6,8,3,5,2,1,4] => 1010110 => [1,1,1,1,2,1] => 345
[8,6,1,3,5,2,7,4] => 1100101 => [2,2,1,1,1] => 255
[8,7,1,3,5,6,2,4] => 1100010 => [2,3,1,1] => 171
[6,7,8,3,5,1,2,4] => 0010100 => [2,1,1,1,2] => 207
[3,4,8,1,2,6,7,5] => 0010001 => [2,1,3,1] => 157
[5,8,2,4,3,6,7,1] => 0101001 => [1,1,1,1,2,1] => 345
[5,8,2,3,1,6,7,4] => 0101001 => [1,1,1,1,2,1] => 345
[6,8,2,3,5,1,7,4] => 0100101 => [1,1,2,1,1,1] => 359
[7,8,2,3,5,6,1,4] => 0100010 => [1,1,3,1,1] => 233
[8,6,5,1,4,3,7,2] => 1110101 => [3,1,1,1,1] => 165
[2,4,8,6,1,3,7,5] => 0011001 => [2,2,2,1] => 211
[6,7,1,8,4,3,5,2] => 0101101 => [1,1,1,2,1,1] => 359
[2,7,8,6,1,4,3,5] => 0011010 => [2,2,1,1,1] => 255
[2,7,3,8,1,6,4,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[7,5,1,8,2,4,6,3] => 1101001 => [2,1,1,2,1] => 241
[2,7,8,4,1,6,3,5] => 0011010 => [2,2,1,1,1] => 255
[2,6,5,4,1,3,8,7] => 0111001 => [1,3,2,1] => 185
[4,1,7,6,3,8,2,5] => 1011010 => [1,1,2,1,1,1] => 359
[4,8,2,5,7,6,3,1] => 0100111 => [1,1,2,3] => 145
[3,4,6,5,1,8,2,7] => 0011010 => [2,2,1,1,1] => 255
[2,6,5,3,4,1,8,7] => 0110101 => [1,2,1,1,1,1] => 345
[4,6,1,5,2,3,8,7] => 0101001 => [1,1,1,1,2,1] => 345
[6,2,3,5,1,4,8,7] => 1001001 => [1,2,1,2,1] => 281
[2,6,7,5,1,8,4,3] => 0011011 => [2,2,1,2] => 180
[8,6,1,2,5,3,4,7] => 1100100 => [2,2,1,2] => 180
[6,2,5,1,8,3,4,7] => 1010100 => [1,1,1,1,1,2] => 297
[7,6,5,2,8,3,4,1] => 1110101 => [3,1,1,1,1] => 165
[2,6,3,5,1,8,7,4] => 0101011 => [1,1,1,1,1,2] => 297
[2,4,7,6,5,8,1,3] => 0011010 => [2,2,1,1,1] => 255
[2,1,4,8,7,6,3,5] => 1001110 => [1,2,3,1] => 185
[7,4,6,8,5,3,2,1] => 1001111 => [1,2,4] => 65
[8,1,3,5,7,4,6,2] => 1000101 => [1,3,1,1,1] => 219
[3,2,8,7,5,1,6,4] => 1011101 => [1,1,3,1,1] => 233
[4,8,5,1,6,7,2,3] => 0110010 => [1,2,2,1,1] => 295
[3,8,5,1,6,7,2,4] => 0110010 => [1,2,2,1,1] => 295
[7,8,6,1,3,5,2,4] => 0110010 => [1,2,2,1,1] => 295
[5,6,7,2,8,1,3,4] => 0010100 => [2,1,1,1,2] => 207
[2,5,1,8,6,7,4,3] => 0101011 => [1,1,1,1,1,2] => 297
[3,5,1,8,6,7,4,2] => 0101011 => [1,1,1,1,1,2] => 297
[5,2,3,8,6,7,4,1] => 1001011 => [1,2,1,1,2] => 241
[8,3,5,4,6,7,1,2] => 1010010 => [1,1,1,2,1,1] => 359
[5,1,3,8,6,7,4,2] => 1001011 => [1,2,1,1,2] => 241
[3,2,5,8,6,7,4,1] => 1001011 => [1,2,1,1,2] => 241
[6,2,1,5,3,8,7,4] => 1101011 => [2,1,1,1,2] => 207
[5,6,3,2,8,1,4,7] => 0110100 => [1,2,1,1,2] => 241
[8,1,6,3,5,2,7,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,7,6,2,5,3,1,4] => 1110110 => [3,1,2,1] => 137
[4,7,6,8,3,2,5,1] => 0101101 => [1,1,1,2,1,1] => 359
[2,7,5,8,1,3,4,6] => 0101000 => [1,1,1,1,3] => 165
[7,6,2,8,5,1,4,3] => 1101101 => [2,1,2,1,1] => 252
[8,1,3,7,5,2,6,4] => 1001101 => [1,2,2,1,1] => 295
[3,4,8,7,5,1,6,2] => 0011101 => [2,3,1,1] => 171
[6,3,8,1,4,2,5,7] => 1010100 => [1,1,1,1,1,2] => 297
[6,3,8,5,7,4,1,2] => 1010110 => [1,1,1,1,2,1] => 345
[7,4,6,8,5,1,3,2] => 1001101 => [1,2,2,1,1] => 295
[2,1,4,8,7,5,6,3] => 1001101 => [1,2,2,1,1] => 295
[7,1,5,8,2,6,4,3] => 1001011 => [1,2,1,1,2] => 241
[3,6,8,2,4,1,7,5] => 0010101 => [2,1,1,1,1,1] => 297
[4,5,8,2,6,7,3,1] => 0010011 => [2,1,2,2] => 180
[5,2,8,1,6,7,3,4] => 1010010 => [1,1,1,2,1,1] => 359
[2,5,8,4,6,7,3,1] => 0010011 => [2,1,2,2] => 180
[5,8,3,4,6,7,2,1] => 0100011 => [1,1,3,2] => 171
[8,4,3,2,6,7,1,5] => 1110010 => [3,2,1,1] => 145
[4,2,8,1,6,7,3,5] => 1010010 => [1,1,1,2,1,1] => 359
[2,4,8,1,6,7,3,5] => 0010010 => [2,1,2,1,1] => 252
[5,1,8,2,6,7,3,4] => 1010010 => [1,1,1,2,1,1] => 359
[3,4,8,7,2,1,5,6] => 0011100 => [2,3,2] => 126
[7,8,5,3,6,4,2,1] => 0110111 => [1,2,1,3] => 137
[2,8,5,7,4,1,3,6] => 0101100 => [1,1,1,2,2] => 255
[5,8,4,1,6,7,2,3] => 0110010 => [1,2,2,1,1] => 295
[3,8,1,4,6,7,2,5] => 0100010 => [1,1,3,1,1] => 233
[8,2,3,4,6,7,1,5] => 1000010 => [1,4,1,1] => 107
[6,2,7,3,8,4,1,5] => 1010110 => [1,1,1,1,2,1] => 345
[7,4,3,2,8,5,1,6] => 1110110 => [3,1,2,1] => 137
[8,3,6,2,5,4,1,7] => 1010110 => [1,1,1,1,2,1] => 345
[5,4,8,3,2,6,1,7] => 1011010 => [1,1,2,1,1,1] => 359
[3,5,8,2,4,6,1,7] => 0010010 => [2,1,2,1,1] => 252
[6,4,7,8,2,3,1,5] => 1001010 => [1,2,1,1,1,1] => 345
[4,8,6,2,5,3,1,7] => 0110110 => [1,2,1,2,1] => 281
[1,6,4,3,2,8,7,5] => 0111011 => [1,3,1,2] => 157
[1,5,3,2,8,4,7,6] => 0110101 => [1,2,1,1,1,1] => 345
[5,7,4,3,1,2,6,8] => 0111000 => [1,3,3] => 95
[2,8,7,3,5,1,4,6] => 0110100 => [1,2,1,1,2] => 241
[6,1,2,7,3,8,5,4] => 1001011 => [1,2,1,1,2] => 241
[5,1,3,2,8,7,4,6] => 1010110 => [1,1,1,1,2,1] => 345
[1,8,3,7,2,6,5,4] => 0101011 => [1,1,1,1,1,2] => 297
[5,1,4,8,3,7,2,6] => 1001010 => [1,2,1,1,1,1] => 345
[2,1,6,8,5,4,7,3] => 1001101 => [1,2,2,1,1] => 295
[8,3,1,6,7,2,5,4] => 1100101 => [2,2,1,1,1] => 255
[3,7,6,1,5,2,4,8] => 0110100 => [1,2,1,1,2] => 241
[1,5,4,8,3,2,7,6] => 0101101 => [1,1,1,2,1,1] => 359
[7,3,6,1,2,5,4,8] => 1010010 => [1,1,1,2,1,1] => 359
[5,4,7,1,3,2,6,8] => 1010100 => [1,1,1,1,1,2] => 297
[5,7,2,3,8,1,4,6] => 0100100 => [1,1,2,1,2] => 252
[6,4,7,5,8,1,2,3] => 1010100 => [1,1,1,1,1,2] => 297
[7,4,8,5,1,6,3,2] => 1011011 => [1,1,2,1,2] => 252
[8,6,4,2,1,7,5,3] => 1111011 => [4,1,2] => 55
[7,4,2,1,5,8,6,3] => 1110011 => [3,2,2] => 105
[7,6,4,1,8,5,2,3] => 1110110 => [3,1,2,1] => 137
[1,6,4,8,7,5,3,2] => 0101111 => [1,1,1,4] => 75
[6,3,1,2,8,4,7,5] => 1100101 => [2,2,1,1,1] => 255
[6,8,4,1,2,7,5,3] => 0110011 => [1,2,2,2] => 211
[3,6,1,8,2,4,7,5] => 0101001 => [1,1,1,1,2,1] => 345
[1,3,8,7,6,2,5,4] => 0011101 => [2,3,1,1] => 171
[5,4,1,8,7,3,2,6] => 1101110 => [2,1,3,1] => 157
[3,5,1,8,7,2,4,6] => 0101100 => [1,1,1,2,2] => 255
[5,8,4,1,7,6,2,3] => 0110110 => [1,2,1,2,1] => 281
[8,6,1,7,5,4,3,2] => 1101111 => [2,1,4] => 55
[7,1,5,8,6,4,3,2] => 1001111 => [1,2,4] => 65
[4,1,8,7,6,2,5,3] => 1011101 => [1,1,3,1,1] => 233
[3,1,8,7,6,5,2,4] => 1011110 => [1,1,4,1] => 107
[1,6,4,5,2,3,7,8] => 0101000 => [1,1,1,1,3] => 165
[1,7,4,5,2,3,6,8] => 0101000 => [1,1,1,1,3] => 165
[1,7,3,5,2,4,6,8] => 0101000 => [1,1,1,1,3] => 165
[1,6,3,5,2,4,7,8] => 0101000 => [1,1,1,1,3] => 165
[1,6,3,4,2,5,7,8] => 0101000 => [1,1,1,1,3] => 165
[1,7,3,4,2,5,6,8] => 0101000 => [1,1,1,1,3] => 165
[1,8,6,7,3,4,2,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,8,5,7,3,4,2,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,7,3,4,2,6,5,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,5,2,8,4,7,3,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,4,2,8,5,7,3,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,7,3,5,2,6,4,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,8,4,7,3,5,2,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,7,3,6,2,5,4,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,7,3,6,2,4,5,8] => 0101000 => [1,1,1,1,3] => 165
[1,7,4,6,2,3,5,8] => 0101000 => [1,1,1,1,3] => 165
[1,8,5,6,2,3,4,7] => 0101000 => [1,1,1,1,3] => 165
[1,8,5,6,2,4,3,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,3,2,8,5,6,4,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,4,2,8,5,6,3,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,5,2,8,4,6,3,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,6,2,8,4,5,3,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[9,1,2,3,5,4,6,7,8] => 10001000 => [1,3,1,3] => 332
[8,1,2,4,5,3,6,7] => 1000100 => [1,3,1,2] => 157
[2,3,4,6,5,7,8,9,1] => 00010001 => [3,1,3,1] => 332
[10,1,2,3,4,6,5,7,8,9] => 100001000 => [1,4,1,3] => 709
[9,1,2,3,5,6,4,7,8] => 10000100 => [1,4,1,2] => 303
[2,3,4,7,5,6,8,9,1] => 00010001 => [3,1,3,1] => 332
[2,3,4,6,7,5,8,9,1] => 00001001 => [4,1,2,1] => 235
[2,3,4,5,7,6,8,9,10,1] => 000010001 => [4,1,3,1] => 626
[9,10,5,6,7,8,3,4,1,2] => 010001010 => [1,1,3,1,1,1,1] => 3014
[5,8,9,6,7,10,3,4,1,2] => 001001010 => [2,1,2,1,1,1,1] => 3054
[9,10,7,8,3,4,5,6,1,2] => 010100010 => [1,1,1,1,3,1,1] => 3014
[9,10,3,6,7,4,5,8,1,2] => 010010010 => [1,1,2,1,2,1,1] => 3667
[3,8,9,6,7,4,5,10,1,2] => 001010010 => [2,1,1,1,2,1,1] => 2982
[3,6,7,8,9,4,5,10,1,2] => 000010010 => [4,1,2,1,1] => 901
[9,10,3,4,5,6,7,8,1,2] => 010000010 => [1,1,5,1,1] => 794
[3,8,9,4,5,6,7,10,1,2] => 001000010 => [2,1,4,1,1] => 1304
[3,4,7,8,5,6,9,10,1,2] => 000100010 => [3,1,3,1,1] => 1330
[7,8,9,10,5,6,1,2,3,4] => 000101000 => [3,1,1,1,3] => 858
[5,8,9,6,7,10,1,2,3,4] => 001001000 => [2,1,2,1,3] => 1304
[9,10,7,8,1,4,5,2,3,6] => 010100100 => [1,1,1,1,2,1,2] => 3054
[7,8,9,10,1,4,5,2,3,6] => 000100100 => [3,1,2,1,2] => 1304
[9,10,1,6,7,4,5,2,3,8] => 010010100 => [1,1,2,1,1,1,2] => 2982
[1,8,9,6,7,4,5,2,3,10] => 001010100 => [2,1,1,1,1,1,2] => 2431
[1,6,7,8,9,4,5,2,3,10] => 000010100 => [4,1,1,1,2] => 726
[9,10,1,4,5,6,7,2,3,8] => 010000100 => [1,1,4,1,2] => 1304
[1,8,9,4,5,6,7,2,3,10] => 001000100 => [2,1,3,1,2] => 1647
[1,4,7,8,5,6,9,2,3,10] => 000100100 => [3,1,2,1,2] => 1304
[1,4,5,6,7,8,9,2,3,10] => 000000100 => [6,1,2] => 119
[9,10,1,6,7,2,3,4,5,8] => 010010000 => [1,1,2,1,4] => 901
[1,8,9,6,7,2,3,4,5,10] => 001010000 => [2,1,1,1,4] => 726
[1,6,7,8,9,2,3,4,5,10] => 000010000 => [4,1,4] => 251
[9,10,1,2,5,6,3,4,7,8] => 010001000 => [1,1,3,1,3] => 1330
[1,8,9,2,5,6,3,4,7,10] => 001001000 => [2,1,2,1,3] => 1304
[1,2,7,8,5,6,3,4,9,10] => 000101000 => [3,1,1,1,3] => 858
[1,2,5,6,7,8,3,4,9,10] => 000001000 => [5,1,3] => 209
[1,8,9,2,3,4,5,6,7,10] => 001000000 => [2,1,6] => 119
[1,2,7,8,3,4,5,6,9,10] => 000100000 => [3,1,5] => 209
[1,2,3,6,7,4,5,8,9,10] => 000010000 => [4,1,4] => 251
[8,6,4,7,2,1,3,5] => 1101100 => [2,1,2,2] => 180
[8,4,6,2,3,5,1,7] => 1010010 => [1,1,1,2,1,1] => 359
[5,4,8,2,3,6,1,7] => 1010010 => [1,1,1,2,1,1] => 359
[3,8,6,2,4,5,1,7] => 0110010 => [1,2,2,1,1] => 295
[1,7,6,4,8,2,3,5] => 0110100 => [1,2,1,1,2] => 241
[5,8,7,4,1,2,3,6] => 0111000 => [1,3,3] => 95
[6,8,5,3,4,1,2,7] => 0110100 => [1,2,1,1,2] => 241
[6,8,3,7,2,1,4,5] => 0101100 => [1,1,1,2,2] => 255
[6,1,3,7,4,8,2,5] => 1001010 => [1,2,1,1,1,1] => 345
[7,1,6,4,8,2,3,5] => 1010100 => [1,1,1,1,1,2] => 297
[1,8,5,7,2,3,4,6] => 0101000 => [1,1,1,1,3] => 165
[6,1,5,8,2,3,4,7] => 1001000 => [1,2,1,3] => 137
[6,1,5,7,8,2,3,4] => 1000100 => [1,3,1,2] => 157
[3,8,7,5,1,2,4,6] => 0111000 => [1,3,3] => 95
[3,7,6,1,2,4,5,8] => 0110000 => [1,2,4] => 65
[4,7,6,1,2,3,5,8] => 0110000 => [1,2,4] => 65
[1,6,5,8,2,3,4,7] => 0101000 => [1,1,1,1,3] => 165
[8,5,7,4,1,2,3,6] => 1011000 => [1,1,2,3] => 145
[8,6,2,3,1,7,4,5] => 1101010 => [2,1,1,1,1,1] => 297
[8,6,4,1,2,7,3,5] => 1110010 => [3,2,1,1] => 145
[1,7,2,8,6,3,4,5] => 0101100 => [1,1,1,2,2] => 255
[7,5,8,1,3,6,2,4] => 1010010 => [1,1,1,2,1,1] => 359
[5,4,1,8,2,3,6,7] => 1101000 => [2,1,1,3] => 117
[1,4,8,7,2,3,5,6] => 0011000 => [2,2,3] => 105
[1,5,8,7,2,3,4,6] => 0011000 => [2,2,3] => 105
[5,7,1,3,8,2,4,6] => 0100100 => [1,1,2,1,2] => 252
[7,1,5,8,6,2,3,4] => 1001100 => [1,2,2,2] => 211
[6,1,8,2,7,3,4,5] => 1010100 => [1,1,1,1,1,2] => 297
[4,1,8,7,2,3,5,6] => 1011000 => [1,1,2,3] => 145
[5,1,8,7,2,3,4,6] => 1011000 => [1,1,2,3] => 145
[1,8,7,6,4,5,3,2] => 0111011 => [1,3,1,2] => 157
[9,8,7,6,4,5,3,2,1,10] => 111101110 => [4,1,3,1] => 626
[8,7,6,4,3,5,2,1,9] => 11110110 => [4,1,2,1] => 235
[8,7,6,3,5,4,2,1,9] => 11101110 => [3,1,3,1] => 332
[1,9,8,7,5,4,6,3,2] => 01111011 => [1,4,1,2] => 303
[1,8,7,3,6,5,4,2] => 0110111 => [1,2,1,3] => 137
[1,9,8,7,4,6,5,3,2] => 01110111 => [1,3,1,3] => 332
[1,10,9,8,7,5,6,4,3,2] => 011110111 => [1,4,1,3] => 709
[7,1,5,8,3,4,2,6] => 1001010 => [1,2,1,1,1,1] => 345
[7,1,4,3,2,5,6,8] => 1011000 => [1,1,2,3] => 145
[6,4,2,3,8,5,7,1] => 1100101 => [2,2,1,1,1] => 255
[6,4,2,7,5,8,3,1] => 1101011 => [2,1,1,1,2] => 207
[2,4,1,7,5,8,3,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[7,1,4,6,5,2,3,8] => 1001100 => [1,2,2,2] => 211
[7,1,4,6,5,8,2,3] => 1001010 => [1,2,1,1,1,1] => 345
[7,1,4,6,3,8,2,5] => 1001010 => [1,2,1,1,1,1] => 345
[7,1,4,3,2,5,8,6] => 1011001 => [1,1,2,2,1] => 295
[7,1,4,6,5,2,8,3] => 1001101 => [1,2,2,1,1] => 295
[7,1,4,6,5,3,8,2] => 1001101 => [1,2,2,1,1] => 295
[7,1,4,6,5,3,2,8] => 1001110 => [1,2,3,1] => 185
[6,4,2,7,5,3,8,1] => 1101101 => [2,1,2,1,1] => 252
[3,4,7,2,6,8,5,1] => 0010011 => [2,1,2,2] => 180
[3,4,7,1,6,8,2,5] => 0010010 => [2,1,2,1,1] => 252
[3,4,7,1,6,8,5,2] => 0010011 => [2,1,2,2] => 180
[2,4,1,7,5,3,6,8] => 0101100 => [1,1,1,2,2] => 255
[3,4,1,7,8,6,2,5] => 0100110 => [1,1,2,2,1] => 295
[6,4,2,3,8,5,1,7] => 1100110 => [2,2,2,1] => 211
[6,4,2,7,5,8,1,3] => 1101010 => [2,1,1,1,1,1] => 297
[6,4,2,7,5,3,1,8] => 1101110 => [2,1,3,1] => 157
[3,4,7,2,6,8,1,5] => 0010010 => [2,1,2,1,1] => 252
[5,4,7,3,6,8,2,1] => 1010011 => [1,1,1,2,2] => 255
[3,4,7,2,6,5,1,8] => 0010110 => [2,1,1,2,1] => 241
[4,8,3,2,5,6,1,7] => 0110010 => [1,2,2,1,1] => 295
[4,8,7,3,5,1,2,6] => 0110100 => [1,2,1,1,2] => 241
[4,8,7,1,3,5,2,6] => 0110010 => [1,2,2,1,1] => 295
[4,8,3,1,2,6,5,7] => 0110010 => [1,2,2,1,1] => 295
[3,4,7,1,6,2,5,8] => 0010100 => [2,1,1,1,2] => 207
[3,4,7,1,6,2,8,5] => 0010101 => [2,1,1,1,1,1] => 297
[3,4,7,2,6,5,8,1] => 0010101 => [2,1,1,1,1,1] => 297
[4,8,3,1,2,6,7,5] => 0110001 => [1,2,3,1] => 185
[5,8,1,6,3,4,2,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[6,8,5,1,3,7,2,4] => 0110010 => [1,2,2,1,1] => 295
[6,8,5,1,3,4,7,2] => 0110001 => [1,2,3,1] => 185
[5,8,3,4,2,6,7,1] => 0101001 => [1,1,1,1,2,1] => 345
[5,4,7,3,6,2,8,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,4,7,2,6,1,8,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,4,3,7,5,1,2,8] => 1101100 => [2,1,2,2] => 180
[6,4,3,7,5,1,8,2] => 1101101 => [2,1,2,1,1] => 252
[6,2,4,3,1,5,8,7] => 1011001 => [1,1,2,2,1] => 295
[3,8,7,4,1,5,2,6] => 0111010 => [1,3,1,1,1] => 219
[2,4,7,3,6,1,5,8] => 0010100 => [2,1,1,1,2] => 207
[5,8,3,2,1,6,4,7] => 0111010 => [1,3,1,1,1] => 219
[5,8,7,4,3,1,2,6] => 0111100 => [1,4,2] => 81
[5,4,7,3,6,2,1,8] => 1010110 => [1,1,1,1,2,1] => 345
[7,3,8,2,1,6,5,4] => 1011011 => [1,1,2,1,2] => 252
[7,4,3,8,5,2,1,6] => 1101110 => [2,1,3,1] => 157
[6,5,2,8,4,3,1,7] => 1101110 => [2,1,3,1] => 157
[4,3,2,8,6,5,1,7] => 1101110 => [2,1,3,1] => 157
[4,3,8,7,5,1,6,2] => 1011101 => [1,1,3,1,1] => 233
[3,2,5,8,6,1,4,7] => 1001100 => [1,2,2,2] => 211
[8,4,3,7,5,2,6,1] => 1101101 => [2,1,2,1,1] => 252
[4,3,7,8,5,1,2,6] => 1001100 => [1,2,2,2] => 211
[5,3,7,8,4,1,2,6] => 1001100 => [1,2,2,2] => 211
[6,2,5,8,3,1,4,7] => 1001100 => [1,2,2,2] => 211
[6,2,4,8,3,1,5,7] => 1001100 => [1,2,2,2] => 211
[5,2,3,8,4,1,6,7] => 1001100 => [1,2,2,2] => 211
[5,3,8,7,4,1,6,2] => 1011101 => [1,1,3,1,1] => 233
[5,3,2,8,6,4,1,7] => 1101110 => [2,1,3,1] => 157
[7,5,3,8,4,2,1,6] => 1101110 => [2,1,3,1] => 157
[8,7,5,3,6,2,4,1] => 1110101 => [3,1,1,1,1] => 165
[8,6,5,3,7,2,4,1] => 1110101 => [3,1,1,1,1] => 165
[7,5,4,3,8,2,6,1] => 1110101 => [3,1,1,1,1] => 165
[6,4,5,3,8,2,7,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,4,6,3,8,2,5,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,5,6,3,8,2,4,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,5,6,3,7,2,4,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,4,6,3,5,2,8,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,4,6,3,5,2,7,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,4,7,3,5,2,6,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,5,7,3,4,2,6,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,5,8,4,3,2,6,1] => 1011101 => [1,1,3,1,1] => 233
[6,5,8,4,3,2,7,1] => 1011101 => [1,1,3,1,1] => 233
[6,5,8,3,4,2,7,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,5,8,3,4,2,6,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,5,8,4,6,2,3,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,4,8,3,6,2,5,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,4,8,3,5,2,6,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,4,8,3,5,2,7,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,4,7,3,5,2,8,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,4,8,3,7,2,6,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,5,8,3,7,2,4,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,5,8,4,7,2,3,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,5,8,4,7,3,2,1] => 1010111 => [1,1,1,1,3] => 165
[6,4,7,3,8,2,5,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,4,7,3,8,2,6,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,4,6,3,8,2,7,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,3,6,2,4,7,8,1] => 1010001 => [1,1,1,3,1] => 219
[5,3,6,1,4,8,7,2] => 1010011 => [1,1,1,2,2] => 255
[5,3,7,2,4,6,8,1] => 1010001 => [1,1,1,3,1] => 219
[4,3,1,5,6,8,7,2] => 1100011 => [2,3,2] => 126
[4,2,1,5,8,6,3,7] => 1100110 => [2,2,2,1] => 211
[4,2,1,5,8,6,7,3] => 1100101 => [2,2,1,1,1] => 255
[4,2,1,5,8,7,6,3] => 1100111 => [2,2,3] => 105
[4,3,1,5,7,8,6,2] => 1100011 => [2,3,2] => 126
[4,3,1,7,5,8,6,2] => 1101011 => [2,1,1,1,2] => 207
[6,7,3,1,4,8,2,5] => 0110010 => [1,2,2,1,1] => 295
[5,3,7,1,4,8,2,6] => 1010010 => [1,1,1,2,1,1] => 359
[4,3,1,5,7,8,2,6] => 1100010 => [2,3,1,1] => 171
[3,2,1,8,5,4,6,7] => 1101100 => [2,1,2,2] => 180
[3,2,1,8,5,7,4,6] => 1101010 => [2,1,1,1,1,1] => 297
[3,2,1,8,7,5,4,6] => 1101110 => [2,1,3,1] => 157
[5,2,7,1,8,4,3,6] => 1010110 => [1,1,1,1,2,1] => 345
[6,7,2,1,8,4,3,5] => 0110110 => [1,2,1,2,1] => 281
[6,7,2,1,8,4,5,3] => 0110101 => [1,2,1,1,1,1] => 345
[3,2,1,8,5,6,4,7] => 1101010 => [2,1,1,1,1,1] => 297
[3,2,1,8,6,5,4,7] => 1101110 => [2,1,3,1] => 157
[4,3,1,6,7,8,5,2] => 1100011 => [2,3,2] => 126
[4,2,1,6,8,7,5,3] => 1100111 => [2,2,3] => 105
[4,2,1,6,8,5,7,3] => 1100101 => [2,2,1,1,1] => 255
[4,2,1,6,8,5,3,7] => 1100110 => [2,2,2,1] => 211
[5,2,6,1,8,4,3,7] => 1010110 => [1,1,1,1,2,1] => 345
[5,2,6,1,8,7,4,3] => 1010111 => [1,1,1,1,3] => 165
[5,2,6,1,8,7,3,4] => 1010110 => [1,1,1,1,2,1] => 345
[5,2,6,1,8,3,4,7] => 1010100 => [1,1,1,1,1,2] => 297
[4,2,1,6,8,3,7,5] => 1100101 => [2,2,1,1,1] => 255
[4,3,1,6,7,8,2,5] => 1100010 => [2,3,1,1] => 171
[6,7,3,1,5,8,2,4] => 0110010 => [1,2,2,1,1] => 295
[4,2,1,7,8,6,3,5] => 1100110 => [2,2,2,1] => 211
[3,2,1,8,7,6,4,5] => 1101110 => [2,1,3,1] => 157
[3,2,1,8,6,4,7,5] => 1101101 => [2,1,2,1,1] => 252
[3,2,1,8,6,4,5,7] => 1101100 => [2,1,2,2] => 180
[3,2,1,8,4,6,5,7] => 1101010 => [2,1,1,1,1,1] => 297
[3,2,1,8,4,6,7,5] => 1101001 => [2,1,1,2,1] => 241
[3,2,1,8,4,7,6,5] => 1101011 => [2,1,1,1,2] => 207
[3,2,1,8,7,4,6,5] => 1101101 => [2,1,2,1,1] => 252
[4,2,1,7,8,3,6,5] => 1100101 => [2,2,1,1,1] => 255
[5,2,7,1,8,3,6,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,7,2,1,8,3,5,4] => 0110101 => [1,2,1,1,1,1] => 345
[5,2,7,1,8,3,4,6] => 1010100 => [1,1,1,1,1,2] => 297
[4,2,1,7,8,3,5,6] => 1100100 => [2,2,1,2] => 180
[3,2,1,8,4,5,7,6] => 1101001 => [2,1,1,2,1] => 241
[7,5,2,8,6,3,4,1] => 1101101 => [2,1,2,1,1] => 252
[7,4,8,6,2,5,3,1] => 1011011 => [1,1,2,1,2] => 252
[7,3,8,6,2,4,5,1] => 1011001 => [1,1,2,2,1] => 295
[7,4,3,1,8,2,5,6] => 1110100 => [3,1,1,2] => 117
[7,4,2,8,5,6,1,3] => 1101010 => [2,1,1,1,1,1] => 297
[7,3,8,5,2,4,6,1] => 1011001 => [1,1,2,2,1] => 295
[7,3,8,4,5,6,2,1] => 1010011 => [1,1,1,2,2] => 255
[6,3,8,2,4,5,1,7] => 1010010 => [1,1,1,2,1,1] => 359
[6,3,8,2,5,7,4,1] => 1010011 => [1,1,1,2,2] => 255
[6,4,3,8,1,5,2,7] => 1101010 => [2,1,1,1,1,1] => 297
[6,3,7,8,2,4,1,5] => 1001010 => [1,2,1,1,1,1] => 345
[5,6,7,3,8,2,4,1] => 0010101 => [2,1,1,1,1,1] => 297
[5,4,7,2,6,8,1,3] => 1010010 => [1,1,1,2,1,1] => 359
[5,3,8,2,4,6,7,1] => 1010001 => [1,1,1,3,1] => 219
[6,3,8,2,4,7,5,1] => 1010011 => [1,1,1,2,2] => 255
[5,7,4,2,6,8,1,3] => 0110010 => [1,2,2,1,1] => 295
[6,4,8,2,7,5,1,3] => 1010110 => [1,1,1,1,2,1] => 345
[6,5,3,1,4,2,7,8] => 1110100 => [3,1,1,2] => 117
[5,7,4,2,6,1,3,8] => 0110100 => [1,2,1,1,2] => 241
[5,6,4,2,3,8,1,7] => 0110010 => [1,2,2,1,1] => 295
[5,6,3,7,8,2,4,1] => 0100101 => [1,1,2,1,1,1] => 359
[5,6,3,8,2,4,7,1] => 0101001 => [1,1,1,1,2,1] => 345
[6,3,7,2,4,5,1,8] => 1010010 => [1,1,1,2,1,1] => 359
[6,3,7,2,5,8,4,1] => 1010011 => [1,1,1,2,2] => 255
[5,3,6,8,2,4,7,1] => 1001001 => [1,2,1,2,1] => 281
[5,4,6,2,3,8,1,7] => 1010010 => [1,1,1,2,1,1] => 359
[5,3,6,7,8,2,4,1] => 1000101 => [1,3,1,1,1] => 219
[3,6,4,2,1,5,8,7] => 0111001 => [1,3,2,1] => 185
[3,5,8,6,4,2,1,7] => 0011110 => [2,4,1] => 81
[5,8,6,3,4,2,1,7] => 0110110 => [1,2,1,2,1] => 281
[5,6,3,4,2,1,8,7] => 0101101 => [1,1,1,2,1,1] => 359
[6,3,4,2,1,5,8,7] => 1011001 => [1,1,2,2,1] => 295
[5,6,4,2,1,3,8,7] => 0111001 => [1,3,2,1] => 185
[2,5,4,1,7,8,6,3] => 0110011 => [1,2,2,2] => 211
[2,7,8,5,4,1,6,3] => 0011101 => [2,3,1,1] => 171
[2,8,5,4,1,6,3,7] => 0111010 => [1,3,1,1,1] => 219
[2,6,3,8,5,4,1,7] => 0101110 => [1,1,1,3,1] => 219
[2,8,6,3,5,4,1,7] => 0110110 => [1,2,1,2,1] => 281
[5,8,6,4,2,1,3,7] => 0111100 => [1,4,2] => 81
[4,2,1,5,7,8,6,3] => 1100011 => [2,3,2] => 126
[2,7,8,6,3,5,4,1] => 0011011 => [2,2,1,2] => 180
[4,3,8,5,7,6,2,1] => 1010111 => [1,1,1,1,3] => 165
[7,6,2,1,8,4,3,5] => 1110110 => [3,1,2,1] => 137
[2,1,8,5,6,4,3,7] => 1010110 => [1,1,1,1,2,1] => 345
[4,2,1,8,5,6,3,7] => 1101010 => [2,1,1,1,1,1] => 297
[8,4,2,1,5,6,3,7] => 1110010 => [3,2,1,1] => 145
[2,5,6,3,8,4,1,7] => 0010110 => [2,1,1,2,1] => 241
[6,3,4,2,1,8,5,7] => 1011010 => [1,1,2,1,1,1] => 359
[3,7,8,5,6,4,2,1] => 0010111 => [2,1,1,3] => 117
[3,8,5,6,4,2,1,7] => 0101110 => [1,1,1,3,1] => 219
[3,6,4,2,1,8,5,7] => 0111010 => [1,3,1,1,1] => 219
[3,8,6,4,2,1,5,7] => 0111100 => [1,4,2] => 81
[3,7,8,6,4,2,1,5] => 0011110 => [2,4,1] => 81
[8,5,3,7,6,2,4,1] => 1101101 => [2,1,2,1,1] => 252
[7,6,2,4,1,8,5,3] => 1101011 => [2,1,1,1,2] => 207
[8,5,4,1,7,6,2,3] => 1110110 => [3,1,2,1] => 137
[7,6,2,3,8,5,4,1] => 1100111 => [2,2,3] => 105
[2,1,7,8,6,4,3,5] => 1001110 => [1,2,3,1] => 185
[2,1,6,4,3,7,8,5] => 1011001 => [1,1,2,2,1] => 295
[6,4,2,1,3,7,8,5] => 1110001 => [3,3,1] => 95
[6,3,7,8,4,2,1,5] => 1001110 => [1,2,3,1] => 185
[7,8,4,2,1,6,3,5] => 0111010 => [1,3,1,1,1] => 219
[5,7,6,2,3,8,4,1] => 0110011 => [1,2,2,2] => 211
[2,6,1,8,4,3,7,5] => 0101101 => [1,1,1,2,1,1] => 359
[2,6,1,7,5,8,4,3] => 0101011 => [1,1,1,1,1,2] => 297
[8,4,2,3,7,5,6,1] => 1100101 => [2,2,1,1,1] => 255
[8,5,7,6,2,1,4,3] => 1011101 => [1,1,3,1,1] => 233
[4,8,5,7,6,2,1,3] => 0101110 => [1,1,1,3,1] => 219
[4,7,6,2,1,3,8,5] => 0111001 => [1,3,2,1] => 185
[7,5,6,1,8,4,2,3] => 1010110 => [1,1,1,1,2,1] => 345
[2,7,5,8,4,3,6,1] => 0101101 => [1,1,1,2,1,1] => 359
[2,8,4,3,6,1,7,5] => 0110101 => [1,2,1,1,1,1] => 345
[6,4,7,8,3,2,1,5] => 1001110 => [1,2,3,1] => 185
[7,6,5,8,4,3,2,1,9] => 11011110 => [2,1,4,1] => 303
[7,6,5,4,9,3,2,1,8] => 11101110 => [3,1,3,1] => 332
[7,6,5,4,3,8,2,1,9] => 11110110 => [4,1,2,1] => 235
[7,6,5,4,3,2,8,1,9] => 11111010 => [5,1,1,1] => 110
[6,9,8,5,4,3,2,1,7] => 01111110 => [1,6,1] => 50
[8,7,9,6,5,4,3,2,1,10] => 101111110 => [1,1,6,1] => 254
[7,5,8,9,4,3,2,1,6] => 10011110 => [1,2,4,1] => 358
[8,7,6,9,5,4,3,2,1,10] => 110111110 => [2,1,5,1] => 534
[6,4,3,7,5,2,1,8] => 1101110 => [2,1,3,1] => 157
[7,6,4,8,9,3,2,1,5] => 11001110 => [2,2,3,1] => 500
[8,7,6,5,10,4,3,2,1,9] => 111011110 => [3,1,4,1] => 709
[6,5,3,2,8,4,1,7] => 1110110 => [3,1,2,1] => 137
[7,6,5,3,9,8,2,1,4] => 11101110 => [3,1,3,1] => 332
[8,7,6,5,4,9,3,2,1,10] => 111101110 => [4,1,3,1] => 626
[6,5,2,7,8,4,1,3] => 1100110 => [2,2,2,1] => 211
[7,6,5,4,2,8,9,1,3] => 11110010 => [4,2,1,1] => 250
[8,7,6,5,4,3,9,2,1,10] => 111110110 => [5,1,2,1] => 375
[7,6,5,4,3,1,8,9,2] => 11111001 => [5,2,1] => 98
[7,10,9,6,5,4,3,2,1,8] => 011111110 => [1,7,1] => 65
[6,5,8,7,4,3,2,1,9] => 10111110 => [1,1,5,1] => 170
[8,6,9,10,5,4,3,2,1,7] => 100111110 => [1,2,5,1] => 630
[7,5,4,8,6,3,2,1,9] => 11011110 => [2,1,4,1] => 303
[5,9,8,7,4,3,2,1,6] => 01111110 => [1,6,1] => 50
[8,7,5,9,10,4,3,2,1,6] => 110011110 => [2,2,4,1] => 1041
[6,4,3,2,5,8,1,7] => 1110010 => [3,2,1,1] => 145
[7,6,4,3,9,5,2,1,8] => 11101110 => [3,1,3,1] => 332
[7,4,8,9,6,3,2,1,5] => 10011110 => [1,2,4,1] => 358
[8,7,6,4,10,9,3,2,1,5] => 111011110 => [3,1,4,1] => 709
[6,3,7,2,5,4,1,8] => 1010110 => [1,1,1,1,2,1] => 345
[7,6,5,3,2,8,4,1,9] => 11110110 => [4,1,2,1] => 235
[7,6,3,8,9,5,2,1,4] => 11001110 => [2,2,3,1] => 500
[8,7,6,5,3,9,10,2,1,4] => 111100110 => [4,2,2,1] => 801
[7,6,5,4,2,1,8,3,9] => 11111010 => [5,1,1,1] => 110
[6,3,2,7,5,4,1,8] => 1101110 => [2,1,3,1] => 157
[7,6,5,2,9,8,4,1,3] => 11101110 => [3,1,3,1] => 332
[8,7,6,5,4,2,9,10,1,3] => 111110010 => [5,2,1,1] => 399
[7,6,5,4,1,8,9,3,2] => 11110011 => [4,2,2] => 185
[8,7,6,5,4,3,1,10,9,2] => 111111011 => [6,1,2] => 119
[8,4,2,6,3,1,7,5] => 1101101 => [2,1,2,1,1] => 252
[1,5,3,7,4,2,8,6] => 0101101 => [1,1,1,2,1,1] => 359
[1,6,7,3,4,2,8,5] => 0010101 => [2,1,1,1,1,1] => 297
[8,6,5,2,3,1,7,4] => 1110101 => [3,1,1,1,1] => 165
[1,7,6,3,4,2,8,5] => 0110101 => [1,2,1,1,1,1] => 345
[1,8,6,3,2,5,7,4] => 0111001 => [1,3,2,1] => 185
[8,7,5,2,1,4,6,3] => 1111001 => [4,2,1] => 65
[7,8,5,2,1,4,6,3] => 0111001 => [1,3,2,1] => 185
[6,8,5,2,3,1,7,4] => 0110101 => [1,2,1,1,1,1] => 345
[5,8,6,2,3,1,7,4] => 0110101 => [1,2,1,1,1,1] => 345
[4,8,2,6,3,1,7,5] => 0101101 => [1,1,1,2,1,1] => 359
[3,2,8,6,4,1,7,5] => 1011101 => [1,1,3,1,1] => 233
[3,2,1,7,5,4,8,6] => 1101101 => [2,1,2,1,1] => 252
[4,1,3,7,5,2,8,6] => 1001101 => [1,2,2,1,1] => 295
[5,1,7,3,4,2,8,6] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,1,6,3,2,5,8,4] => 1011001 => [1,1,2,2,1] => 295
[1,2,7,4,3,6,8,5] => 0011001 => [2,2,2,1] => 211
[6,1,8,2,4,5,7,3] => 1010001 => [1,1,1,3,1] => 219
[5,1,8,3,2,6,7,4] => 1011001 => [1,1,2,2,1] => 295
[3,2,8,7,1,5,6,4] => 1011001 => [1,1,2,2,1] => 295
[4,8,2,7,1,5,6,3] => 0101001 => [1,1,1,1,2,1] => 345
[5,8,7,2,1,4,6,3] => 0111001 => [1,3,2,1] => 185
[6,8,7,1,3,4,5,2] => 0110001 => [1,2,3,1] => 185
[7,8,6,1,3,4,5,2] => 0110001 => [1,2,3,1] => 185
[1,7,8,2,4,5,6,3] => 0010001 => [2,1,3,1] => 157
[8,6,7,1,3,4,5,2] => 1010001 => [1,1,1,3,1] => 219
[7,6,8,1,3,4,5,2] => 1010001 => [1,1,1,3,1] => 219
[6,5,8,2,3,1,7,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[1,6,8,3,2,5,7,4] => 0011001 => [2,2,2,1] => 211
[1,5,3,8,2,6,7,4] => 0101001 => [1,1,1,1,2,1] => 345
[8,4,2,7,1,5,6,3] => 1101001 => [2,1,1,2,1] => 241
[7,4,2,8,1,5,6,3] => 1101001 => [2,1,1,2,1] => 241
[6,4,2,8,3,1,7,5] => 1101101 => [2,1,2,1,1] => 252
[5,4,2,3,8,1,7,6] => 1100101 => [2,2,1,1,1] => 255
[4,5,2,3,1,6,8,7] => 0101001 => [1,1,1,1,2,1] => 345
[7,4,2,1,3,6,8,5] => 1110001 => [3,3,1] => 95
[8,4,2,1,3,6,7,5] => 1110001 => [3,3,1] => 95
[1,5,3,2,4,7,8,6] => 0110001 => [1,2,3,1] => 185
[8,5,1,3,2,6,7,4] => 1101001 => [2,1,1,2,1] => 241
[5,6,1,3,4,2,8,7] => 0100101 => [1,1,2,1,1,1] => 359
[4,6,2,1,5,3,8,7] => 0110101 => [1,2,1,1,1,1] => 345
[4,7,2,1,3,6,8,5] => 0110001 => [1,2,3,1] => 185
[5,7,1,3,2,6,8,4] => 0101001 => [1,1,1,1,2,1] => 345
[6,7,1,2,4,5,8,3] => 0100001 => [1,1,4,1] => 107
[8,6,1,2,4,5,7,3] => 1100001 => [2,4,1] => 81
[1,8,2,3,5,6,7,4] => 0100001 => [1,1,4,1] => 107
[8,7,1,2,4,5,6,3] => 1100001 => [2,4,1] => 81
[7,8,1,2,4,5,6,3] => 0100001 => [1,1,4,1] => 107
[5,8,1,3,2,6,7,4] => 0101001 => [1,1,1,1,2,1] => 345
[4,8,2,1,3,6,7,5] => 0110001 => [1,2,3,1] => 185
[4,1,3,2,5,7,8,6] => 1010001 => [1,1,1,3,1] => 219
[5,1,2,4,3,7,8,6] => 1001001 => [1,2,1,2,1] => 281
[5,4,8,1,2,3,7,6] => 1010001 => [1,1,1,3,1] => 219
[1,4,7,6,3,2,5,8] => 0011100 => [2,3,2] => 126
[4,8,3,2,7,6,1,5] => 0110110 => [1,2,1,2,1] => 281
[4,3,8,2,7,1,6,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[1,4,7,3,6,2,5,8] => 0010100 => [2,1,1,1,2] => 207
[4,3,2,8,1,7,6,5] => 1101011 => [2,1,1,1,2] => 207
[4,1,8,3,7,2,5,6] => 1010100 => [1,1,1,1,1,2] => 297
[4,1,8,7,3,2,5,6] => 1011100 => [1,1,3,2] => 171
[4,7,8,1,2,5,3,6] => 0010010 => [2,1,2,1,1] => 252
[3,4,7,6,2,1,8,5] => 0011101 => [2,3,1,1] => 171
[3,4,2,7,1,6,8,5] => 0101001 => [1,1,1,1,2,1] => 345
[2,3,6,7,4,1,8,5] => 0001101 => [3,2,1,1] => 145
[2,6,3,4,7,8,1,5] => 0100010 => [1,1,3,1,1] => 233
[2,6,7,8,3,4,1,5] => 0001010 => [3,1,1,1,1] => 165
[3,1,7,8,4,2,5,6] => 1001100 => [1,2,2,2] => 211
[4,1,3,2,8,7,5,6] => 1010110 => [1,1,1,1,2,1] => 345
[3,7,8,2,6,4,1,5] => 0010110 => [2,1,1,2,1] => 241
[4,2,3,8,1,6,7,5] => 1001001 => [1,2,1,2,1] => 281
[4,3,1,8,2,5,7,6] => 1101001 => [2,1,1,2,1] => 241
[1,3,6,7,4,2,5,8] => 0001100 => [3,2,2] => 105
[3,2,7,8,4,1,6,5] => 1001101 => [1,2,2,1,1] => 295
[4,2,8,6,3,1,7,5] => 1011101 => [1,1,3,1,1] => 233
[3,7,2,4,8,6,1,5] => 0100110 => [1,1,2,2,1] => 295
[3,2,7,4,8,1,6,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[1,3,6,4,7,2,5,8] => 0010100 => [2,1,1,1,2] => 207
[3,2,4,7,1,8,6,5] => 1001011 => [1,2,1,1,2] => 241
[3,7,4,2,6,8,1,5] => 0110010 => [1,2,2,1,1] => 295
[3,7,4,6,2,8,1,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,7,1,5,8,2,3,6] => 0100100 => [1,1,2,1,2] => 252
[3,7,6,4,8,2,1,5] => 0110110 => [1,2,1,2,1] => 281
[3,1,7,4,8,2,5,6] => 1010100 => [1,1,1,1,1,2] => 297
[2,6,7,3,8,4,1,5] => 0010110 => [2,1,1,2,1] => 241
[2,3,6,4,7,1,8,5] => 0010101 => [2,1,1,1,1,1] => 297
[8,7,5,2,6,3,4,1] => 1110101 => [3,1,1,1,1] => 165
[8,6,5,2,7,3,4,1] => 1110101 => [3,1,1,1,1] => 165
[7,4,8,5,6,3,2,1] => 1010111 => [1,1,1,1,3] => 165
[3,4,6,7,8,5,1,2] => 0000110 => [4,2,1] => 65
[1,2,6,4,7,5,8,3] => 0010101 => [2,1,1,1,1,1] => 297
[3,1,7,5,4,2,6,8] => 1011100 => [1,1,3,2] => 171
[6,3,8,5,4,7,1,2] => 1011010 => [1,1,2,1,1,1] => 359
[1,6,2,5,4,7,8,3] => 0101001 => [1,1,1,1,2,1] => 345
[1,8,2,5,6,3,7,4] => 0100101 => [1,1,2,1,1,1] => 359
[1,2,6,4,8,5,7,3] => 0010101 => [2,1,1,1,1,1] => 297
[7,8,3,1,4,2,5,6] => 0110100 => [1,2,1,1,2] => 241
[4,8,1,5,2,3,6,7] => 0101000 => [1,1,1,1,3] => 165
[7,4,1,5,2,3,6,8] => 1101000 => [2,1,1,3] => 117
[5,6,1,8,4,3,2,7] => 0101110 => [1,1,1,3,1] => 219
[5,1,8,6,4,3,2,7] => 1011110 => [1,1,4,1] => 107
[5,1,6,3,8,7,2,4] => 1010110 => [1,1,1,1,2,1] => 345
[6,1,2,5,8,3,7,4] => 1000101 => [1,3,1,1,1] => 219
[6,1,8,7,4,3,2,5] => 1011110 => [1,1,4,1] => 107
[7,1,2,5,4,8,6,3] => 1001011 => [1,2,1,1,2] => 241
[1,2,7,5,8,3,6,4] => 0010101 => [2,1,1,1,1,1] => 297
[4,1,6,3,7,5,2,8] => 1010110 => [1,1,1,1,2,1] => 345
[1,3,6,7,8,5,2,4] => 0000110 => [4,2,1] => 65
[1,2,6,4,7,8,5,3] => 0010011 => [2,1,2,2] => 180
[4,1,6,3,7,8,2,5] => 1010010 => [1,1,1,2,1,1] => 359
[3,1,6,4,8,2,7,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,8,4,1,6,3,2,5] => 0110110 => [1,2,1,2,1] => 281
[4,1,6,3,8,7,2,5] => 1010110 => [1,1,1,1,2,1] => 345
[7,5,1,8,4,3,2,6] => 1101110 => [2,1,3,1] => 157
[6,5,1,7,4,3,2,8] => 1101110 => [2,1,3,1] => 157
[4,1,8,5,2,3,7,6] => 1011001 => [1,1,2,2,1] => 295
[4,1,6,8,3,7,2,5] => 1001010 => [1,2,1,1,1,1] => 345
[5,4,6,1,3,8,2,7] => 1010010 => [1,1,1,2,1,1] => 359
[6,5,8,1,4,3,2,7] => 1010110 => [1,1,1,1,2,1] => 345
[1,3,5,7,6,8,2,4] => 0001010 => [3,1,1,1,1] => 165
[1,3,5,7,6,2,8,4] => 0001101 => [3,2,1,1] => 145
[1,3,5,7,2,6,8,4] => 0001001 => [3,1,2,1] => 137
[1,3,5,2,7,6,4,8] => 0010110 => [2,1,1,2,1] => 241
[1,3,5,7,6,2,4,8] => 0001100 => [3,2,2] => 105
[1,3,5,7,4,6,8,2] => 0001001 => [3,1,2,1] => 137
[1,3,5,7,4,6,2,8] => 0001010 => [3,1,1,1,1] => 165
[1,3,5,7,4,2,6,8] => 0001100 => [3,2,2] => 105
[1,3,5,4,7,2,6,8] => 0010100 => [2,1,1,1,2] => 207
[1,3,5,4,7,8,2,6] => 0010010 => [2,1,2,1,1] => 252
[1,3,5,4,7,2,8,6] => 0010101 => [2,1,1,1,1,1] => 297
[1,3,5,7,4,2,8,6] => 0001101 => [3,2,1,1] => 145
[1,3,5,7,4,8,2,6] => 0001010 => [3,1,1,1,1] => 165
[1,3,5,7,4,8,6,2] => 0001011 => [3,1,1,2] => 117
[1,3,5,7,8,4,6,2] => 0000101 => [4,1,1,1] => 75
[1,3,5,7,8,4,2,6] => 0000110 => [4,2,1] => 65
[1,3,5,2,7,8,6,4] => 0010011 => [2,1,2,2] => 180
[1,3,5,7,2,8,6,4] => 0001011 => [3,1,1,2] => 117
[1,3,5,7,8,2,6,4] => 0000101 => [4,1,1,1] => 75
[1,6,3,2,7,4,8,5] => 0110101 => [1,2,1,1,1,1] => 345
[3,5,1,6,2,8,7,4] => 0101011 => [1,1,1,1,1,2] => 297
[1,3,7,2,5,4,8,6] => 0010101 => [2,1,1,1,1,1] => 297
[1,3,7,5,2,4,8,6] => 0011001 => [2,2,2,1] => 211
[2,5,7,4,3,8,1,6] => 0011010 => [2,2,1,1,1] => 255
[2,5,3,7,4,8,1,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,4,7,3,1,8,6,5] => 0011011 => [2,2,1,2] => 180
[1,4,7,3,8,2,6,5] => 0010101 => [2,1,1,1,1,1] => 297
[3,2,6,7,8,1,5,4] => 1000101 => [1,3,1,1,1] => 219
[3,5,2,7,8,4,1,6] => 0100110 => [1,1,2,2,1] => 295
[1,5,7,4,8,3,2,6] => 0010110 => [2,1,1,2,1] => 241
[4,6,2,1,7,8,3,5] => 0110010 => [1,2,2,1,1] => 295
[3,5,2,6,8,4,7,1] => 0100101 => [1,1,2,1,1,1] => 359
[2,5,7,4,3,8,6,1] => 0011011 => [2,2,1,2] => 180
[1,5,7,2,4,8,6,3] => 0010011 => [2,1,2,2] => 180
[4,6,3,7,2,8,5,1] => 0101011 => [1,1,1,1,1,2] => 297
[1,4,7,3,8,6,2,5] => 0010110 => [2,1,1,2,1] => 241
[5,1,6,8,2,4,3,7] => 1001010 => [1,2,1,1,1,1] => 345
[5,3,7,8,2,4,1,6] => 1001010 => [1,2,1,1,1,1] => 345
[8,5,3,7,2,4,1,6] => 1101010 => [2,1,1,1,1,1] => 297
[8,2,4,7,3,1,5,6] => 1001100 => [1,2,2,2] => 211
[2,4,7,8,3,1,5,6] => 0001100 => [3,2,2] => 105
[6,3,1,5,8,2,4,7] => 1100100 => [2,2,1,2] => 180
[6,5,3,4,2,8,1,7] => 1101010 => [2,1,1,1,1,1] => 297
[5,2,4,3,8,1,6,7] => 1010100 => [1,1,1,1,1,2] => 297
[3,2,4,8,1,5,6,7] => 1001000 => [1,2,1,3] => 137
[3,2,4,6,8,1,5,7] => 1000100 => [1,3,1,2] => 157
[8,1,5,7,3,2,4,6] => 1001100 => [1,2,2,2] => 211
[8,4,6,7,2,3,1,5] => 1001010 => [1,2,1,1,1,1] => 345
[4,6,7,8,2,3,1,5] => 0001010 => [3,1,1,1,1] => 165
[7,4,6,8,2,3,1,5] => 1001010 => [1,2,1,1,1,1] => 345
[7,2,4,8,3,1,5,6] => 1001100 => [1,2,2,2] => 211
[5,3,8,7,2,4,1,6] => 1011010 => [1,1,2,1,1,1] => 359
[2,4,8,7,3,1,5,6] => 0011100 => [2,3,2] => 126
[4,6,8,7,2,3,1,5] => 0011010 => [2,2,1,1,1] => 255
[8,7,4,6,2,3,1,5] => 1101010 => [2,1,1,1,1,1] => 297
[5,6,8,7,2,3,1,4] => 0011010 => [2,2,1,1,1] => 255
[6,4,8,7,2,3,1,5] => 1011010 => [1,1,2,1,1,1] => 359
[3,1,7,4,2,8,6,5] => 1011011 => [1,1,2,1,2] => 252
[3,2,8,4,1,7,6,5] => 1011011 => [1,1,2,1,2] => 252
[7,6,4,8,2,3,1,5] => 1101010 => [2,1,1,1,1,1] => 297
[5,7,6,8,2,3,1,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,7,6,8,2,3,1,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[8,6,4,7,2,3,1,5] => 1101010 => [2,1,1,1,1,1] => 297
[8,2,3,7,4,1,6,5] => 1001101 => [1,2,2,1,1] => 295
[2,3,7,8,4,1,6,5] => 0001101 => [3,2,1,1] => 145
[3,7,4,8,2,5,1,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,3,7,4,1,6,8,5] => 0011001 => [2,2,2,1] => 211
[8,1,6,4,2,3,7,5] => 1011001 => [1,1,2,2,1] => 295
[4,7,8,6,2,3,1,5] => 0011010 => [2,2,1,1,1] => 255
[2,4,7,3,1,5,8,6] => 0011001 => [2,2,2,1] => 211
[6,3,1,7,4,2,8,5] => 1101101 => [2,1,2,1,1] => 252
[8,5,7,6,2,3,1,4] => 1011010 => [1,1,2,1,1,1] => 359
[7,5,8,6,2,3,1,4] => 1011010 => [1,1,2,1,1,1] => 359
[7,1,6,4,2,3,8,5] => 1011001 => [1,1,2,2,1] => 295
[3,1,7,6,4,2,8,5] => 1011101 => [1,1,3,1,1] => 233
[4,8,7,6,2,3,1,5] => 0111010 => [1,3,1,1,1] => 219
[6,8,7,5,2,3,1,4] => 0111010 => [1,3,1,1,1] => 219
[4,3,6,1,5,8,7,2] => 1010011 => [1,1,1,2,2] => 255
[4,3,6,5,1,8,7,2] => 1011011 => [1,1,2,1,2] => 252
[4,6,3,5,1,8,7,2] => 0101011 => [1,1,1,1,1,2] => 297
[4,6,3,1,5,8,7,2] => 0110011 => [1,2,2,2] => 211
[4,1,6,5,3,8,7,2] => 1011011 => [1,1,2,1,2] => 252
[4,6,1,5,3,8,7,2] => 0101011 => [1,1,1,1,1,2] => 297
[2,6,5,3,1,8,7,4] => 0111011 => [1,3,1,2] => 157
[2,6,5,1,8,7,3,4] => 0110110 => [1,2,1,2,1] => 281
[2,6,5,8,1,7,3,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,6,5,8,1,3,7,4] => 0101001 => [1,1,1,1,2,1] => 345
[2,6,5,8,3,1,7,4] => 0101101 => [1,1,1,2,1,1] => 359
[2,6,5,3,8,1,7,4] => 0110101 => [1,2,1,1,1,1] => 345
[4,6,1,5,8,3,7,2] => 0100101 => [1,1,2,1,1,1] => 359
[4,1,6,5,8,3,7,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[1,4,6,5,8,3,7,2] => 0010101 => [2,1,1,1,1,1] => 297
[4,1,6,5,8,7,3,2] => 1010111 => [1,1,1,1,3] => 165
[2,6,5,3,8,7,1,4] => 0110110 => [1,2,1,2,1] => 281
[6,4,3,8,7,1,5,2] => 1101101 => [2,1,2,1,1] => 252
[6,4,8,3,7,1,5,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[2,6,8,5,3,7,1,4] => 0011010 => [2,2,1,1,1] => 255
[4,6,8,1,5,7,3,2] => 0010011 => [2,1,2,2] => 180
[4,6,1,8,5,7,3,2] => 0101011 => [1,1,1,1,1,2] => 297
[4,1,6,8,5,7,3,2] => 1001011 => [1,2,1,1,2] => 241
[1,4,6,8,5,7,3,2] => 0001011 => [3,1,1,2] => 117
[1,4,6,8,5,3,7,2] => 0001101 => [3,2,1,1] => 145
[4,6,1,8,5,3,7,2] => 0101101 => [1,1,1,2,1,1] => 359
[2,6,8,5,3,1,7,4] => 0011101 => [2,3,1,1] => 171
[2,6,8,5,1,7,3,4] => 0011010 => [2,2,1,1,1] => 255
[4,6,8,3,5,1,7,2] => 0010101 => [2,1,1,1,1,1] => 297
[4,6,8,3,1,5,7,2] => 0011001 => [2,2,2,1] => 211
[4,6,3,1,8,5,7,2] => 0110101 => [1,2,1,1,1,1] => 345
[4,6,3,8,1,5,7,2] => 0101001 => [1,1,1,1,2,1] => 345
[4,6,3,8,5,7,1,2] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,3,6,8,1,5,7,2] => 1001001 => [1,2,1,2,1] => 281
[4,3,6,1,8,5,7,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,3,1,6,8,5,7,2] => 1100101 => [2,2,1,1,1] => 255
[4,1,3,6,8,7,5,2] => 1000111 => [1,3,3] => 95
[4,3,6,1,8,7,5,2] => 1010111 => [1,1,1,1,3] => 165
[4,3,6,8,1,7,5,2] => 1001011 => [1,2,1,1,2] => 241
[6,5,2,8,7,3,1,4] => 1101110 => [2,1,3,1] => 157
[6,5,2,8,7,1,3,4] => 1101100 => [2,1,2,2] => 180
[6,2,5,8,7,1,3,4] => 1001100 => [1,2,2,2] => 211
[6,2,5,8,7,3,1,4] => 1001110 => [1,2,3,1] => 185
[4,6,3,8,1,7,5,2] => 0101011 => [1,1,1,1,1,2] => 297
[4,6,3,1,8,7,5,2] => 0110111 => [1,2,1,3] => 137
[4,1,6,3,8,7,5,2] => 1010111 => [1,1,1,1,3] => 165
[1,4,6,3,8,7,5,2] => 0010111 => [2,1,1,3] => 117
[4,1,6,8,3,7,5,2] => 1001011 => [1,2,1,1,2] => 241
[4,6,1,8,3,7,5,2] => 0101011 => [1,1,1,1,1,2] => 297
[4,6,8,1,3,7,5,2] => 0010011 => [2,1,2,2] => 180
[6,2,8,5,7,3,1,4] => 1010110 => [1,1,1,1,2,1] => 345
[6,2,8,5,7,1,3,4] => 1010100 => [1,1,1,1,1,2] => 297
[2,4,8,7,1,5,3,6] => 0011010 => [2,2,1,1,1] => 255
[4,2,8,7,5,3,1,6] => 1011110 => [1,1,4,1] => 107
[6,4,1,8,7,5,3,2] => 1101111 => [2,1,4] => 55
[6,1,4,8,7,5,3,2] => 1001111 => [1,2,4] => 65
[1,6,4,8,7,3,5,2] => 0101101 => [1,1,1,2,1,1] => 359
[6,4,1,8,7,3,5,2] => 1101101 => [2,1,2,1,1] => 252
[4,2,8,7,5,1,3,6] => 1011100 => [1,1,3,2] => 171
[2,4,8,7,3,5,1,6] => 0011010 => [2,2,1,1,1] => 255
[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] => 117
[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
[2,3,4,5,6,7,9,10,8,1] => 000000011 => [7,2] => 36
[2,3,4,7,8,5,6,1] => 0000101 => [4,1,1,1] => 75
[2,3,4,5,8,1,9,7,6] => 00001011 => [4,1,1,2] => 200
[2,3,4,5,6,8,9,10,7,1] => 000000011 => [7,2] => 36
[2,3,6,7,4,8,5,1] => 0001011 => [3,1,1,2] => 117
[2,3,4,7,1,8,9,6,5] => 00010011 => [3,1,2,2] => 365
[2,5,6,3,7,8,1,4] => 0010010 => [2,1,2,1,1] => 252
[2,3,7,1,4,8,6,5] => 0010011 => [2,1,2,2] => 180
[2,3,6,1,7,8,9,4,5] => 00100010 => [2,1,3,1,1] => 609
[2,3,4,6,7,8,9,10,5,1] => 000000011 => [7,2] => 36
[2,6,1,3,7,8,5,4] => 0100011 => [1,1,3,2] => 171
[2,5,1,6,7,8,9,4,3] => 01000011 => [1,1,4,2] => 343
[2,3,5,6,7,8,9,10,4,1] => 000000011 => [7,2] => 36
[4,1,5,6,7,8,9,3,2] => 10000011 => [1,5,2] => 133
[2,3,4,5,6,7,10,1,8,9] => 000000100 => [6,1,2] => 119
[2,3,4,5,8,9,6,7,1] => 00000101 => [5,1,1,1] => 110
[2,3,4,5,6,9,1,10,8,7] => 000001011 => [5,1,1,2] => 319
[2,3,4,7,8,5,9,6,1] => 00001011 => [4,1,1,2] => 200
[2,3,4,5,8,1,9,10,7,6] => 000010011 => [4,1,2,2] => 666
[2,5,6,7,4,8,1,3] => 0001010 => [3,1,1,1,1] => 165
[2,3,6,7,4,8,9,1,5] => 00010010 => [3,1,2,1,1] => 502
[2,3,4,8,1,5,9,7,6] => 00010011 => [3,1,2,2] => 365
[2,3,4,7,1,8,9,10,5,6] => 000100010 => [3,1,3,1,1] => 1330
[2,5,6,3,7,8,9,4,1] => 00100011 => [2,1,3,2] => 452
[2,3,7,8,4,5,6,1] => 0001001 => [3,1,2,1] => 137
[2,3,7,1,4,8,9,6,5] => 00100011 => [2,1,3,2] => 452
[2,3,6,1,7,8,9,10,5,4] => 001000011 => [2,1,4,2] => 1001
[4,5,2,6,7,8,9,3,1] => 01000011 => [1,1,4,2] => 343
[2,6,7,3,4,8,5,1] => 0010011 => [2,1,2,2] => 180
[2,6,1,3,7,8,9,4,5] => 01000010 => [1,1,4,1,1] => 450
[2,5,1,6,7,8,9,10,4,3] => 010000011 => [1,1,5,2] => 624
[5,1,2,6,7,8,9,4,3] => 10000011 => [1,5,2] => 133
[4,1,5,6,7,8,9,10,2,3] => 100000010 => [1,6,1,1] => 254
[1,5,3,2,6,4,7,8] => 0110100 => [1,2,1,1,2] => 241
[1,5,3,2,6,7,4,8] => 0110010 => [1,2,2,1,1] => 295
[1,7,3,2,8,5,4,6] => 0110110 => [1,2,1,2,1] => 281
[1,7,3,2,5,8,4,6] => 0110010 => [1,2,2,1,1] => 295
[1,3,2,7,5,4,8,6] => 0101101 => [1,1,1,2,1,1] => 359
[6,5,2,4,3,7,1,8] => 1101010 => [2,1,1,1,1,1] => 297
[6,4,2,5,3,7,1,8] => 1101010 => [2,1,1,1,1,1] => 297
[5,4,7,6,2,3,1,8] => 1011010 => [1,1,2,1,1,1] => 359
[3,6,4,8,2,1,5,7] => 0101100 => [1,1,1,2,2] => 255
[1,6,2,8,5,3,4,7] => 0101100 => [1,1,1,2,2] => 255
[4,6,2,3,7,5,1,8] => 0100110 => [1,1,2,2,1] => 295
[4,7,2,3,6,5,1,8] => 0100110 => [1,1,2,2,1] => 295
[4,7,2,3,5,6,1,8] => 0100010 => [1,1,3,1,1] => 233
[5,3,2,7,4,6,1,8] => 1101010 => [2,1,1,1,1,1] => 297
[5,3,2,6,4,7,1,8] => 1101010 => [2,1,1,1,1,1] => 297
[4,6,2,3,5,7,1,8] => 0100010 => [1,1,3,1,1] => 233
[3,5,2,1,6,8,4,7] => 0110010 => [1,2,2,1,1] => 295
[1,5,2,6,8,4,3,7] => 0100110 => [1,1,2,2,1] => 295
[1,5,7,2,8,4,3,6] => 0010110 => [2,1,1,2,1] => 241
[3,5,2,1,8,6,4,7] => 0110110 => [1,2,1,2,1] => 281
[3,6,8,4,2,1,5,7] => 0011100 => [2,3,2] => 126
[4,3,2,6,1,8,5,7] => 1101010 => [2,1,1,1,1,1] => 297
[1,5,8,2,7,4,3,6] => 0010110 => [2,1,1,2,1] => 241
[1,7,2,3,4,8,6,5] => 0100011 => [1,1,3,2] => 171
[6,8,2,3,4,1,7,5] => 0100101 => [1,1,2,1,1,1] => 359
[4,1,8,2,3,5,7,6] => 1010001 => [1,1,1,3,1] => 219
[2,3,1,8,4,5,7,6] => 0101001 => [1,1,1,1,2,1] => 345
[7,3,2,1,4,5,8,6] => 1110001 => [3,3,1] => 95
[7,8,1,4,3,5,2,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[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] => 81
[1,8,2,3,4,7,6,5] => 0100011 => [1,1,3,2] => 171
[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] => 359
[8,7,1,4,3,5,2,6] => 1101010 => [2,1,1,1,1,1] => 297
[8,3,2,1,4,5,7,6] => 1110001 => [3,3,1] => 95
[3,8,2,1,5,6,4,7] => 0110010 => [1,2,2,1,1] => 295
[3,8,2,1,6,5,4,7] => 0110110 => [1,2,1,2,1] => 281
[1,7,8,3,5,4,2,6] => 0010110 => [2,1,1,2,1] => 241
[7,4,1,8,3,5,2,6] => 1101010 => [2,1,1,1,1,1] => 297
[8,4,1,7,3,5,2,6] => 1101010 => [2,1,1,1,1,1] => 297
[3,8,4,6,2,1,5,7] => 0101100 => [1,1,1,2,2] => 255
[8,4,2,5,3,1,6,7] => 1101100 => [2,1,2,2] => 180
[8,5,2,4,3,1,6,7] => 1101100 => [2,1,2,2] => 180
[8,3,2,5,4,1,6,7] => 1101100 => [2,1,2,2] => 180
[4,3,2,5,1,8,6,7] => 1101010 => [2,1,1,1,1,1] => 297
[3,5,2,4,1,8,6,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,4,7,8,1,5,3,6] => 0001010 => [3,1,1,1,1] => 165
[1,8,7,3,5,4,2,6] => 0110110 => [1,2,1,2,1] => 281
[5,1,8,2,7,4,3,6] => 1010110 => [1,1,1,1,2,1] => 345
[5,1,7,2,8,4,3,6] => 1010110 => [1,1,1,1,2,1] => 345
[6,1,2,8,5,3,4,7] => 1001100 => [1,2,2,2] => 211
[6,3,2,1,8,4,5,7] => 1110100 => [3,1,1,2] => 117
[7,3,2,8,4,5,1,6] => 1101010 => [2,1,1,1,1,1] => 297
[2,7,8,4,3,5,1,6] => 0011010 => [2,2,1,1,1] => 255
[7,1,8,3,5,4,2,6] => 1010110 => [1,1,1,1,2,1] => 345
[7,8,2,3,4,6,1,5] => 0100010 => [1,1,3,1,1] => 233
[6,7,1,3,4,8,2,5] => 0100010 => [1,1,3,1,1] => 233
[6,8,1,3,4,7,2,5] => 0100010 => [1,1,3,1,1] => 233
[1,7,2,3,4,6,8,5] => 0100001 => [1,1,4,1] => 107
[1,6,2,3,4,8,7,5] => 0100011 => [1,1,3,2] => 171
[7,6,2,3,4,1,8,5] => 1100101 => [2,2,1,1,1] => 255
[8,6,2,3,4,1,7,5] => 1100101 => [2,2,1,1,1] => 255
[8,1,7,3,5,4,2,6] => 1010110 => [1,1,1,1,2,1] => 345
[8,3,2,7,4,5,1,6] => 1101010 => [2,1,1,1,1,1] => 297
[6,7,2,3,4,1,8,5] => 0100101 => [1,1,2,1,1,1] => 359
[7,6,2,3,4,8,1,5] => 1100010 => [2,3,1,1] => 171
[8,6,2,3,4,7,1,5] => 1100010 => [2,3,1,1] => 171
[6,3,4,8,7,5,1,2] => 1001110 => [1,2,3,1] => 185
[4,8,7,3,5,6,1,2] => 0110010 => [1,2,2,1,1] => 295
[4,8,7,5,3,6,1,2] => 0111010 => [1,3,1,1,1] => 219
[5,8,7,3,4,6,1,2] => 0110010 => [1,2,2,1,1] => 295
[5,8,4,2,1,6,7,3] => 0111001 => [1,3,2,1] => 185
[5,8,4,1,2,6,7,3] => 0110001 => [1,2,3,1] => 185
[5,3,7,2,6,1,8,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,2,8,1,6,3,7,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,8,2,1,4,7,6,3] => 0110011 => [1,2,2,2] => 211
[4,8,2,5,1,7,6,3] => 0101011 => [1,1,1,1,1,2] => 297
[7,8,4,1,2,6,5,3] => 0110011 => [1,2,2,2] => 211
[4,8,1,5,2,7,6,3] => 0101011 => [1,1,1,1,1,2] => 297
[5,8,1,2,4,7,6,3] => 0100011 => [1,1,3,2] => 171
[5,2,8,3,6,7,1,4] => 1010010 => [1,1,1,2,1,1] => 359
[3,8,7,6,2,4,1,5] => 0111010 => [1,3,1,1,1] => 219
[2,8,7,6,4,1,3,5] => 0111100 => [1,4,2] => 81
[7,8,2,6,5,1,3,4] => 0101100 => [1,1,1,2,2] => 255
[1,8,7,6,4,2,3,5] => 0111100 => [1,4,2] => 81
[2,8,7,6,3,1,4,5] => 0111100 => [1,4,2] => 81
[1,8,7,6,2,4,3,5] => 0111010 => [1,3,1,1,1] => 219
[1,8,7,6,3,4,2,5] => 0111010 => [1,3,1,1,1] => 219
[2,8,1,4,5,6,7,3] => 0100001 => [1,1,4,1] => 107
[2,1,7,3,6,5,8,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[3,1,7,2,6,5,8,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[3,2,7,1,6,5,8,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,1,2,8,5,7,3,4] => 1001010 => [1,2,1,1,1,1] => 345
[6,2,1,8,5,7,3,4] => 1101010 => [2,1,1,1,1,1] => 297
[6,3,1,8,5,7,2,4] => 1101010 => [2,1,1,1,1,1] => 297
[6,4,2,1,7,5,8,3] => 1110101 => [3,1,1,1,1] => 165
[6,1,3,8,5,2,7,4] => 1001101 => [1,2,2,1,1] => 295
[2,3,7,1,6,8,5,4] => 0010011 => [2,1,2,2] => 180
[1,3,7,2,6,8,5,4] => 0010011 => [2,1,2,2] => 180
[7,8,2,6,5,3,1,4] => 0101110 => [1,1,1,3,1] => 219
[3,2,6,7,5,8,1,4] => 1001010 => [1,2,1,1,1,1] => 345
[1,2,7,5,6,3,8,4] => 0010101 => [2,1,1,1,1,1] => 297
[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] => 185
[3,8,7,6,2,1,5,4] => 0111101 => [1,4,1,1] => 107
[4,8,7,6,2,1,3,5] => 0111100 => [1,4,2] => 81
[4,8,7,6,1,3,2,5] => 0111010 => [1,3,1,1,1] => 219
[3,8,7,6,4,1,2,5] => 0111100 => [1,4,2] => 81
[7,8,3,6,5,1,2,4] => 0101100 => [1,1,1,2,2] => 255
[2,3,7,5,6,8,1,4] => 0010010 => [2,1,2,1,1] => 252
[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] => 157
[1,7,6,3,5,4,8,2] => 0110101 => [1,2,1,1,1,1] => 345
[4,3,7,2,6,5,1,8] => 1010110 => [1,1,1,1,2,1] => 345
[3,4,6,1,5,7,2,8] => 0010010 => [2,1,2,1,1] => 252
[1,6,8,5,7,3,4,2] => 0010101 => [2,1,1,1,1,1] => 297
[2,4,1,5,8,6,3,7] => 0100110 => [1,1,2,2,1] => 295
[4,6,1,2,5,8,3,7] => 0100010 => [1,1,3,1,1] => 233
[5,6,7,2,1,4,8,3] => 0011001 => [2,2,2,1] => 211
[7,8,6,5,1,2,4,3] => 0111001 => [1,3,2,1] => 185
[1,3,6,5,7,8,2,4] => 0010010 => [2,1,2,1,1] => 252
[7,4,8,5,3,1,6,2] => 1011101 => [1,1,3,1,1] => 233
[6,8,5,2,4,1,7,3] => 0110101 => [1,2,1,1,1,1] => 345
[2,3,1,6,8,5,7,4] => 0100101 => [1,1,2,1,1,1] => 359
[7,3,2,5,1,4,8,6] => 1101001 => [2,1,1,2,1] => 241
[7,1,4,2,3,6,8,5] => 1010001 => [1,1,1,3,1] => 219
[1,5,8,3,4,6,7,2] => 0010001 => [2,1,3,1] => 157
[8,3,1,2,4,7,6,5] => 1100011 => [2,3,2] => 126
[2,3,8,1,6,5,4,7] => 0010110 => [2,1,1,2,1] => 241
[8,1,4,7,2,5,3,6] => 1001010 => [1,2,1,1,1,1] => 345
[3,5,2,4,1,7,8,6] => 0101001 => [1,1,1,1,2,1] => 345
[3,4,7,8,6,2,1,5] => 0001110 => [3,3,1] => 95
[3,4,8,6,2,7,1,5] => 0011010 => [2,2,1,1,1] => 255
[5,8,2,1,6,7,3,4] => 0110010 => [1,2,2,1,1] => 295
[5,7,2,8,6,4,3,1] => 0101111 => [1,1,1,4] => 75
[6,1,2,7,5,3,8,4] => 1001101 => [1,2,2,1,1] => 295
[7,3,2,8,6,4,1,5] => 1101110 => [2,1,3,1] => 157
[2,7,8,4,6,3,1,5] => 0010110 => [2,1,1,2,1] => 241
[1,4,5,7,2,6,8,3] => 0001001 => [3,1,2,1] => 137
[7,3,5,2,6,1,8,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,5,2,3,6,1,7,4] => 1100101 => [2,2,1,1,1] => 255
[8,1,6,3,5,7,2,4] => 1010010 => [1,1,1,2,1,1] => 359
[2,8,6,4,3,7,1,5] => 0111010 => [1,3,1,1,1] => 219
[8,3,2,6,4,7,1,5] => 1101010 => [2,1,1,1,1,1] => 297
[2,3,8,7,6,5,1,4] => 0011110 => [2,4,1] => 81
[1,2,8,7,3,6,5,4] => 0011011 => [2,2,1,2] => 180
[4,2,8,7,3,6,1,5] => 1011010 => [1,1,2,1,1,1] => 359
[4,5,8,7,1,2,6,3] => 0011001 => [2,2,2,1] => 211
[1,5,8,7,3,2,6,4] => 0011101 => [2,3,1,1] => 171
[4,5,8,7,3,2,1,6] => 0011110 => [2,4,1] => 81
[2,6,8,1,7,5,4,3] => 0010111 => [2,1,1,3] => 117
[3,6,8,4,7,2,1,5] => 0010110 => [2,1,1,2,1] => 241
[2,5,8,3,7,6,1,4] => 0010110 => [2,1,1,2,1] => 241
[3,2,8,4,7,6,1,5] => 1010110 => [1,1,1,1,2,1] => 345
[1,5,8,3,7,2,6,4] => 0010101 => [2,1,1,1,1,1] => 297
[3,5,8,4,7,2,1,6] => 0010110 => [2,1,1,2,1] => 241
[5,6,8,2,3,7,1,4] => 0010010 => [2,1,2,1,1] => 252
[1,6,8,4,2,7,5,3] => 0011011 => [2,2,1,2] => 180
[1,5,8,4,2,7,6,3] => 0011011 => [2,2,1,2] => 180
[1,5,8,2,3,7,6,4] => 0010011 => [2,1,2,2] => 180
[2,1,8,4,3,7,6,5] => 1011011 => [1,1,2,1,2] => 252
[2,5,8,4,3,7,1,6] => 0011010 => [2,2,1,1,1] => 255
[5,6,8,4,1,2,7,3] => 0011001 => [2,2,2,1] => 211
[5,6,8,1,3,2,7,4] => 0010101 => [2,1,1,1,1,1] => 297
[1,6,8,4,3,2,7,5] => 0011101 => [2,3,1,1] => 171
[5,6,8,4,3,2,1,7] => 0011110 => [2,4,1] => 81
[7,1,2,8,6,5,4,3] => 1001111 => [1,2,4] => 65
[7,1,4,8,6,2,5,3] => 1001101 => [1,2,2,1,1] => 295
[7,3,1,8,6,2,5,4] => 1101101 => [2,1,2,1,1] => 252
[7,2,4,8,3,6,1,5] => 1001010 => [1,2,1,1,1,1] => 345
[7,1,4,8,3,2,6,5] => 1001101 => [1,2,2,1,1] => 295
[7,4,5,8,3,2,1,6] => 1001110 => [1,2,3,1] => 185
[1,6,2,8,7,5,4,3] => 0101111 => [1,1,1,4] => 75
[1,6,4,8,7,2,5,3] => 0101101 => [1,1,1,2,1,1] => 359
[3,6,4,8,7,2,1,5] => 0101110 => [1,1,1,3,1] => 219
[3,2,5,8,7,6,1,4] => 1001110 => [1,2,3,1] => 185
[3,2,4,8,7,6,1,5] => 1001110 => [1,2,3,1] => 185
[3,1,5,8,7,2,6,4] => 1001101 => [1,2,2,1,1] => 295
[3,1,4,8,7,2,6,5] => 1001101 => [1,2,2,1,1] => 295
[1,6,4,8,2,7,5,3] => 0101011 => [1,1,1,1,1,2] => 297
[1,4,5,8,2,7,6,3] => 0001011 => [3,1,1,2] => 117
[2,4,5,8,3,7,1,6] => 0001010 => [3,1,1,1,1] => 165
[4,6,5,8,1,2,7,3] => 0101001 => [1,1,1,1,2,1] => 345
[1,6,4,8,3,2,7,5] => 0101101 => [1,1,1,2,1,1] => 359
[1,4,5,8,3,2,7,6] => 0001101 => [3,2,1,1] => 145
[7,6,1,4,8,2,5,3] => 1100101 => [2,2,1,1,1] => 255
[7,6,1,3,8,2,5,4] => 1100101 => [2,2,1,1,1] => 255
[7,6,3,4,8,2,1,5] => 1100110 => [2,2,2,1] => 211
[7,2,5,1,8,6,4,3] => 1010111 => [1,1,1,1,3] => 165
[7,2,5,3,8,6,1,4] => 1010110 => [1,1,1,1,2,1] => 345
[7,2,1,4,8,6,5,3] => 1100111 => [2,2,3] => 105
[7,2,1,3,8,6,5,4] => 1100111 => [2,2,3] => 105
[7,2,3,4,8,6,1,5] => 1000110 => [1,3,2,1] => 185
[7,3,5,4,8,2,1,6] => 1010110 => [1,1,1,1,2,1] => 345
[2,6,5,1,8,7,4,3] => 0110111 => [1,2,1,3] => 137
[2,3,5,4,8,7,1,6] => 0010110 => [2,1,1,2,1] => 241
[1,6,5,4,8,2,7,3] => 0110101 => [1,2,1,1,1,1] => 345
[1,6,5,3,8,2,7,4] => 0110101 => [1,2,1,1,1,1] => 345
[1,6,3,4,8,2,7,5] => 0100101 => [1,1,2,1,1,1] => 359
[1,3,5,4,8,2,7,6] => 0010101 => [2,1,1,1,1,1] => 297
[3,6,5,4,8,2,1,7] => 0110110 => [1,2,1,2,1] => 281
[7,6,5,2,3,8,1,4] => 1110010 => [3,2,1,1] => 145
[7,6,1,4,2,8,5,3] => 1101011 => [2,1,1,1,2] => 207
[7,6,1,2,3,8,5,4] => 1100011 => [2,3,2] => 126
[7,6,2,4,3,8,1,5] => 1101010 => [2,1,1,1,1,1] => 297
[7,1,5,4,2,8,6,3] => 1011011 => [1,1,2,1,2] => 252
[7,1,5,2,3,8,6,4] => 1010011 => [1,1,1,2,2] => 255
[7,1,2,4,3,8,6,5] => 1001011 => [1,2,1,1,2] => 241
[2,6,5,4,3,8,1,7] => 0111010 => [1,3,1,1,1] => 219
[7,6,1,4,3,2,8,5] => 1101101 => [2,1,2,1,1] => 252
[7,1,5,4,3,2,8,6] => 1011101 => [1,1,3,1,1] => 233
[3,4,2,6,7,8,1,5] => 0100010 => [1,1,3,1,1] => 233
[3,1,4,2,6,8,7,5] => 1010011 => [1,1,1,2,2] => 255
[8,3,4,2,6,1,7,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[2,6,7,3,5,4,1,8] => 0010110 => [2,1,1,2,1] => 241
[2,7,8,3,5,4,1,6] => 0010110 => [2,1,1,2,1] => 241
[2,6,8,3,5,4,1,7] => 0010110 => [2,1,1,2,1] => 241
[4,7,1,2,8,5,3,6] => 0100110 => [1,1,2,2,1] => 295
[4,8,1,2,7,5,3,6] => 0100110 => [1,1,2,2,1] => 295
[2,1,6,3,7,5,4,8] => 1010110 => [1,1,1,1,2,1] => 345
[2,7,1,3,6,8,4,5] => 0100010 => [1,1,3,1,1] => 233
[6,7,3,2,8,1,4,5] => 0110100 => [1,2,1,1,2] => 241
[7,3,4,2,6,1,8,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,4,1,2,8,5,3,6] => 1100110 => [2,2,2,1] => 211
[8,7,4,2,1,5,3,6] => 1111010 => [4,1,1,1] => 75
[7,4,1,2,6,5,3,8] => 1100110 => [2,2,2,1] => 211
[7,4,3,1,5,6,8,2] => 1110001 => [3,3,1] => 95
[6,7,4,1,5,8,3,2] => 0110011 => [1,2,2,2] => 211
[4,7,5,1,6,8,3,2] => 0110011 => [1,2,2,2] => 211
[4,5,3,1,7,6,8,2] => 0110101 => [1,2,1,1,1,1] => 345
[4,6,1,2,7,5,3,8] => 0100110 => [1,1,2,2,1] => 295
[2,7,1,3,6,5,4,8] => 0100110 => [1,1,2,2,1] => 295
[4,1,8,2,6,5,3,7] => 1010110 => [1,1,1,1,2,1] => 345
[4,6,1,2,8,5,3,7] => 0100110 => [1,1,2,2,1] => 295
[8,4,3,1,5,6,7,2] => 1110001 => [3,3,1] => 95
[4,5,3,1,8,6,7,2] => 0110101 => [1,2,1,1,1,1] => 345
[4,8,5,6,3,1,7,2] => 0101101 => [1,1,1,2,1,1] => 359
[5,1,3,4,8,6,7,2] => 1000101 => [1,3,1,1,1] => 219
[5,4,3,8,1,6,7,2] => 1101001 => [2,1,1,2,1] => 241
[8,5,3,4,1,6,7,2] => 1101001 => [2,1,1,2,1] => 241
[6,4,8,2,1,5,3,7] => 1011010 => [1,1,2,1,1,1] => 359
[6,7,3,2,5,1,4,8] => 0110100 => [1,2,1,1,2] => 241
[6,8,3,2,5,1,4,7] => 0110100 => [1,2,1,1,2] => 241
[5,7,1,4,6,8,3,2] => 0100011 => [1,1,3,2] => 171
[5,1,3,4,7,6,8,2] => 1000101 => [1,3,1,1,1] => 219
[6,1,4,2,7,5,3,8] => 1010110 => [1,1,1,1,2,1] => 345
[5,4,3,7,1,6,8,2] => 1101001 => [2,1,1,2,1] => 241
[6,7,5,4,1,8,3,2] => 0111011 => [1,3,1,2] => 157
[7,6,4,2,1,5,3,8] => 1111010 => [4,1,1,1] => 75
[8,2,7,6,5,4,1,3] => 1011110 => [1,1,4,1] => 107
[7,2,8,6,5,4,3,1] => 1011111 => [1,1,5] => 27
[8,1,9,7,6,5,4,3,2] => 10111111 => [1,1,6] => 35
[2,10,9,8,7,6,5,4,1,3] => 011111110 => [1,7,1] => 65
[9,2,8,7,6,5,4,1,3] => 10111110 => [1,1,5,1] => 170
[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] => 157
[3,2,8,7,6,5,1,4] => 1011110 => [1,1,4,1] => 107
[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] => 137
[8,9,1,7,6,5,4,3,2] => 01011111 => [1,1,1,5] => 110
[7,3,8,6,5,4,2,1] => 1011111 => [1,1,5] => 27
[8,2,9,7,6,5,4,3,1] => 10111111 => [1,1,6] => 35
[9,1,10,8,7,6,5,4,3,2] => 101111111 => [1,1,7] => 44
[4,8,5,7,6,3,2,1] => 0101111 => [1,1,1,4] => 75
[3,8,7,4,6,5,2,1] => 0110111 => [1,2,1,3] => 137
[2,8,7,6,3,5,4,1] => 0111011 => [1,3,1,2] => 157
[8,5,6,1,3,2,4,7] => 1010100 => [1,1,1,1,1,2] => 297
[8,6,1,5,3,2,4,7] => 1101100 => [2,1,2,2] => 180
[7,8,1,5,3,2,4,6] => 0101100 => [1,1,1,2,2] => 255
[8,1,7,5,3,2,4,6] => 1011100 => [1,1,3,2] => 171
[8,6,1,4,5,2,3,7] => 1100100 => [2,2,1,2] => 180
[8,6,3,1,5,2,4,7] => 1110100 => [3,1,1,2] => 117
[8,4,6,1,5,2,3,7] => 1010100 => [1,1,1,1,1,2] => 297
[8,6,2,1,5,4,3,7] => 1110110 => [3,1,2,1] => 137
[8,5,2,6,1,4,3,7] => 1101010 => [2,1,1,1,1,1] => 297
[8,5,2,1,7,4,3,6] => 1110110 => [3,1,2,1] => 137
[7,8,2,1,5,4,3,6] => 0110110 => [1,2,1,2,1] => 281
[7,8,3,1,5,2,4,6] => 0110100 => [1,2,1,1,2] => 241
[8,2,7,5,1,3,4,6] => 1011000 => [1,1,2,3] => 145
[8,4,1,7,5,2,3,6] => 1101100 => [2,1,2,2] => 180
[8,2,7,1,5,4,3,6] => 1010110 => [1,1,1,1,2,1] => 345
[8,2,6,1,7,4,3,5] => 1010110 => [1,1,1,1,2,1] => 345
[8,1,7,4,3,2,6,5] => 1011101 => [1,1,3,1,1] => 233
[8,1,5,7,3,2,6,4] => 1001101 => [1,2,2,1,1] => 295
[5,7,8,1,3,2,6,4] => 0010101 => [2,1,1,1,1,1] => 297
[8,2,6,1,5,7,3,4] => 1010010 => [1,1,1,2,1,1] => 359
[5,8,1,6,7,2,3,4] => 0100100 => [1,1,2,1,2] => 252
[5,7,6,1,8,2,3,4] => 0110100 => [1,2,1,1,2] => 241
[6,7,2,5,1,8,3,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[7,5,1,6,8,2,3,4] => 1100100 => [2,2,1,2] => 180
[6,5,7,1,8,2,3,4] => 1010100 => [1,1,1,1,1,2] => 297
[6,7,3,8,1,2,4,5] => 0101000 => [1,1,1,1,3] => 165
[7,5,4,1,8,2,3,6] => 1110100 => [3,1,1,2] => 117
[7,6,1,4,8,2,3,5] => 1100100 => [2,2,1,2] => 180
[8,1,6,4,7,2,3,5] => 1010100 => [1,1,1,1,1,2] => 297
[7,5,8,1,3,2,4,6] => 1010100 => [1,1,1,1,1,2] => 297
[7,8,4,1,3,2,5,6] => 0110100 => [1,2,1,1,2] => 241
[8,3,7,4,1,2,5,6] => 1011000 => [1,1,2,3] => 145
[8,5,1,7,3,2,4,6] => 1101100 => [2,1,2,2] => 180
[6,8,1,7,3,2,4,5] => 0101100 => [1,1,1,2,2] => 255
[7,1,8,4,3,6,2,5] => 1011010 => [1,1,2,1,1,1] => 359
[7,3,1,8,6,4,2,5] => 1101110 => [2,1,3,1] => 157
[8,3,1,7,4,6,2,5] => 1101010 => [2,1,1,1,1,1] => 297
[8,4,5,1,7,2,3,6] => 1010100 => [1,1,1,1,1,2] => 297
[5,6,8,1,7,2,3,4] => 0010100 => [2,1,1,1,2] => 207
[6,5,8,1,2,7,3,4] => 1010010 => [1,1,1,2,1,1] => 359
[7,3,1,8,5,6,2,4] => 1101010 => [2,1,1,1,1,1] => 297
[6,2,7,8,3,1,5,4] => 1001101 => [1,2,2,1,1] => 295
[5,8,1,7,3,2,6,4] => 0101101 => [1,1,1,2,1,1] => 359
[8,4,1,7,3,2,6,5] => 1101101 => [2,1,2,1,1] => 252
[8,3,4,7,1,2,6,5] => 1001001 => [1,2,1,2,1] => 281
[8,2,7,4,1,3,6,5] => 1011001 => [1,1,2,2,1] => 295
[7,4,8,2,1,3,6,5] => 1011001 => [1,1,2,2,1] => 295
[7,4,3,8,1,2,6,5] => 1101001 => [2,1,1,2,1] => 241
[8,2,3,6,7,1,5,4] => 1000101 => [1,3,1,1,1] => 219
[2,6,8,7,1,5,4,3] => 0011011 => [2,2,1,2] => 180
[7,8,5,2,3,6,4,1] => 0110011 => [1,2,2,2] => 211
[8,7,5,2,3,1,6,4] => 1110101 => [3,1,1,1,1] => 165
[6,8,5,2,3,4,7,1] => 0110001 => [1,2,3,1] => 185
[3,5,2,6,8,1,4,7] => 0100100 => [1,1,2,1,2] => 252
[3,5,2,4,6,8,1,7] => 0100010 => [1,1,3,1,1] => 233
[2,4,5,7,3,6,8,1] => 0001001 => [3,1,2,1] => 137
[2,4,5,3,6,8,1,7] => 0010010 => [2,1,2,1,1] => 252
[5,2,4,6,8,1,3,7] => 1000100 => [1,3,1,2] => 157
[5,1,3,4,6,8,2,7] => 1000010 => [1,4,1,1] => 107
[4,3,5,2,6,8,1,7] => 1010010 => [1,1,1,2,1,1] => 359
[4,3,5,7,2,8,1,6] => 1001010 => [1,2,1,1,1,1] => 345
[4,3,5,7,2,6,8,1] => 1001001 => [1,2,1,2,1] => 281
[4,6,3,7,2,5,8,1] => 0101001 => [1,1,1,1,2,1] => 345
[4,6,3,1,7,8,2,5] => 0110010 => [1,2,2,1,1] => 295
[4,3,5,1,7,8,2,6] => 1010010 => [1,1,1,2,1,1] => 359
[5,7,1,3,4,8,2,6] => 0100010 => [1,1,3,1,1] => 233
[5,7,1,3,4,6,8,2] => 0100001 => [1,1,4,1] => 107
[4,5,7,1,3,6,8,2] => 0010001 => [2,1,3,1] => 157
[4,3,6,7,1,5,8,2] => 1001001 => [1,2,1,2,1] => 281
[4,6,3,5,1,7,8,2] => 0101001 => [1,1,1,1,2,1] => 345
[4,6,3,5,7,2,8,1] => 0100101 => [1,1,2,1,1,1] => 359
[3,5,6,4,1,7,8,2] => 0011001 => [2,2,2,1] => 211
[3,1,5,6,7,4,8,2] => 1000101 => [1,3,1,1,1] => 219
[5,1,6,7,3,4,8,2] => 1001001 => [1,2,1,2,1] => 281
[6,4,7,1,3,5,8,2] => 1010001 => [1,1,1,3,1] => 219
[1,6,7,3,4,5,8,2] => 0010001 => [2,1,3,1] => 157
[2,6,7,4,5,8,1,3] => 0010010 => [2,1,2,1,1] => 252
[2,6,7,4,8,1,3,5] => 0010100 => [2,1,1,1,2] => 207
[5,3,6,1,2,7,8,4] => 1010001 => [1,1,1,3,1] => 219
[3,5,2,6,1,7,8,4] => 0101001 => [1,1,1,1,2,1] => 345
[3,5,2,6,7,4,8,1] => 0100101 => [1,1,2,1,1,1] => 359
[5,2,3,6,7,4,8,1] => 1000101 => [1,3,1,1,1] => 219
[5,2,3,6,1,7,8,4] => 1001001 => [1,2,1,2,1] => 281
[5,2,6,1,3,7,8,4] => 1010001 => [1,1,1,3,1] => 219
[4,2,6,7,3,5,8,1] => 1001001 => [1,2,1,2,1] => 281
[6,3,7,2,4,5,8,1] => 1010001 => [1,1,1,3,1] => 219
[3,5,7,2,8,1,4,6] => 0010100 => [2,1,1,1,2] => 207
[3,7,2,4,8,1,5,6] => 0100100 => [1,1,2,1,2] => 252
[7,2,4,6,8,1,3,5] => 1000100 => [1,3,1,2] => 157
[7,1,3,4,6,8,2,5] => 1000010 => [1,4,1,1] => 107
[3,7,2,4,6,8,1,5] => 0100010 => [1,1,3,1,1] => 233
[3,5,7,2,6,8,1,4] => 0010010 => [2,1,2,1,1] => 252
[6,3,7,2,5,8,1,4] => 1010010 => [1,1,1,2,1,1] => 359
[6,3,5,7,2,8,1,4] => 1001010 => [1,2,1,1,1,1] => 345
[6,3,5,7,2,4,8,1] => 1001001 => [1,2,1,2,1] => 281
[6,2,4,5,7,3,8,1] => 1000101 => [1,3,1,1,1] => 219
[6,2,4,5,1,7,8,3] => 1001001 => [1,2,1,2,1] => 281
[4,7,1,2,5,6,8,3] => 0100001 => [1,1,4,1] => 107
[2,6,7,5,8,1,3,4] => 0010100 => [2,1,1,1,2] => 207
[4,6,7,1,2,5,8,3] => 0010001 => [2,1,3,1] => 157
[5,6,2,4,7,3,8,1] => 0100101 => [1,1,2,1,1,1] => 359
[5,4,2,6,7,3,8,1] => 1100101 => [2,2,1,1,1] => 255
[5,4,2,6,1,7,8,3] => 1101001 => [2,1,1,2,1] => 241
[1,5,4,6,2,7,8,3] => 0101001 => [1,1,1,1,2,1] => 345
[5,6,4,1,2,7,8,3] => 0110001 => [1,2,3,1] => 185
[6,4,5,1,2,7,8,3] => 1010001 => [1,1,1,3,1] => 219
[6,3,5,1,7,8,2,4] => 1010010 => [1,1,1,2,1,1] => 359
[6,5,7,2,8,1,3,4] => 1010100 => [1,1,1,1,1,2] => 297
[6,5,7,1,3,4,8,2] => 1010001 => [1,1,1,3,1] => 219
[5,6,4,7,1,3,8,2] => 0101001 => [1,1,1,1,2,1] => 345
[5,4,6,3,1,7,8,2] => 1011001 => [1,1,2,2,1] => 295
[7,5,3,2,4,8,1,6] => 1110010 => [3,2,1,1] => 145
[8,4,5,2,6,1,3,7] => 1010100 => [1,1,1,1,1,2] => 297
[8,5,4,2,1,6,3,7] => 1111010 => [4,1,1,1] => 75
[8,5,3,4,1,6,2,7] => 1101010 => [2,1,1,1,1,1] => 297
[8,4,5,3,1,6,2,7] => 1011010 => [1,1,2,1,1,1] => 359
[7,5,4,2,1,8,3,6] => 1111010 => [4,1,1,1] => 75
[7,5,4,2,1,6,8,3] => 1111001 => [4,2,1] => 65
[7,4,5,3,1,6,8,2] => 1011001 => [1,1,2,2,1] => 295
[7,4,3,5,6,1,8,2] => 1100101 => [2,2,1,1,1] => 255
[5,6,3,7,4,1,8,2] => 0101101 => [1,1,1,2,1,1] => 359
[5,6,7,3,1,4,8,2] => 0011001 => [2,2,2,1] => 211
[6,7,3,4,1,5,8,2] => 0101001 => [1,1,1,1,2,1] => 345
[6,7,4,2,1,5,8,3] => 0111001 => [1,3,2,1] => 185
[5,6,7,3,1,8,2,4] => 0011010 => [2,2,1,1,1] => 255
[5,6,3,7,8,1,2,4] => 0100100 => [1,1,2,1,2] => 252
[5,6,3,7,2,4,8,1] => 0101001 => [1,1,1,1,2,1] => 345
[5,6,7,2,3,8,1,4] => 0010010 => [2,1,2,1,1] => 252
[7,4,5,2,8,1,3,6] => 1010100 => [1,1,1,1,1,2] => 297
[6,7,3,2,4,8,1,5] => 0110010 => [1,2,2,1,1] => 295
[7,6,4,2,1,3,8,5] => 1111001 => [4,2,1] => 65
[7,6,3,4,1,2,8,5] => 1101001 => [2,1,1,2,1] => 241
[7,6,3,2,4,1,8,5] => 1110101 => [3,1,1,1,1] => 165
[6,7,3,2,5,1,8,4] => 0110101 => [1,2,1,1,1,1] => 345
[6,5,3,2,7,8,1,4] => 1110010 => [3,2,1,1] => 145
[6,5,3,2,7,4,8,1] => 1110101 => [3,1,1,1,1] => 165
[6,4,5,2,7,3,8,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,4,5,2,7,8,1,3] => 1010010 => [1,1,1,2,1,1] => 359
[7,4,5,2,6,1,8,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,4,5,6,1,2,8,3] => 1001001 => [1,2,1,2,1] => 281
[7,5,6,2,1,3,8,4] => 1011001 => [1,1,2,2,1] => 295
[6,7,3,5,1,2,8,4] => 0101001 => [1,1,1,1,2,1] => 345
[5,6,7,4,1,2,8,3] => 0011001 => [2,2,2,1] => 211
[5,6,7,2,4,1,8,3] => 0010101 => [2,1,1,1,1,1] => 297
[5,6,4,2,7,8,1,3] => 0110010 => [1,2,2,1,1] => 295
[6,5,7,2,1,8,3,4] => 1011010 => [1,1,2,1,1,1] => 359
[6,5,7,2,1,4,8,3] => 1011001 => [1,1,2,2,1] => 295
[5,4,6,7,3,1,8,2] => 1001101 => [1,2,2,1,1] => 295
[5,7,8,3,6,4,1,2] => 0010110 => [2,1,1,2,1] => 241
[3,7,8,5,6,4,1,2] => 0010110 => [2,1,1,2,1] => 241
[3,7,8,5,6,1,4,2] => 0010101 => [2,1,1,1,1,1] => 297
[1,7,8,5,6,3,4,2] => 0010101 => [2,1,1,1,1,1] => 297
[1,7,5,8,6,3,4,2] => 0101101 => [1,1,1,2,1,1] => 359
[3,7,5,8,6,1,4,2] => 0101101 => [1,1,1,2,1,1] => 359
[3,7,5,8,6,4,1,2] => 0101110 => [1,1,1,3,1] => 219
[5,7,3,8,6,4,1,2] => 0101110 => [1,1,1,3,1] => 219
[7,3,8,5,6,4,1,2] => 1010110 => [1,1,1,1,2,1] => 345
[7,3,5,8,6,4,1,2] => 1001110 => [1,2,3,1] => 185
[3,5,7,8,6,4,1,2] => 0001110 => [3,3,1] => 95
[1,5,7,8,6,3,4,2] => 0001101 => [3,2,1,1] => 145
[1,5,7,8,3,6,4,2] => 0001011 => [3,1,1,2] => 117
[3,5,7,8,1,6,4,2] => 0001011 => [3,1,1,2] => 117
[5,3,7,8,1,6,4,2] => 1001011 => [1,2,1,1,2] => 241
[7,3,5,8,6,1,4,2] => 1001101 => [1,2,2,1,1] => 295
[7,3,8,5,6,1,4,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,8,1,5,6,3,4,2] => 0100101 => [1,1,2,1,1,1] => 359
[7,1,8,5,6,3,4,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,1,5,8,6,3,4,2] => 1001101 => [1,2,2,1,1] => 295
[5,1,7,8,3,6,4,2] => 1001011 => [1,2,1,1,2] => 241
[3,1,7,8,5,6,4,2] => 1001011 => [1,2,1,1,2] => 241
[1,3,7,8,5,6,4,2] => 0001011 => [3,1,1,2] => 117
[3,1,7,5,8,6,4,2] => 1010111 => [1,1,1,1,3] => 165
[5,1,7,3,8,6,4,2] => 1010111 => [1,1,1,1,3] => 165
[7,1,5,3,8,6,4,2] => 1010111 => [1,1,1,1,3] => 165
[7,1,5,8,3,6,4,2] => 1001011 => [1,2,1,1,2] => 241
[7,8,1,5,3,6,4,2] => 0101011 => [1,1,1,1,1,2] => 297
[7,8,3,5,1,6,4,2] => 0101011 => [1,1,1,1,1,2] => 297
[7,3,5,8,1,6,4,2] => 1001011 => [1,2,1,1,2] => 241
[5,3,7,1,8,6,4,2] => 1010111 => [1,1,1,1,3] => 165
[3,5,7,1,8,6,4,2] => 0010111 => [2,1,1,3] => 117
[1,7,5,3,8,6,4,2] => 0110111 => [1,2,1,3] => 137
[5,7,3,1,8,6,4,2] => 0110111 => [1,2,1,3] => 137
[5,7,3,8,6,1,4,2] => 0101101 => [1,1,1,2,1,1] => 359
[3,7,5,8,1,6,4,2] => 0101011 => [1,1,1,1,1,2] => 297
[1,7,5,8,3,6,4,2] => 0101011 => [1,1,1,1,1,2] => 297
[1,7,8,5,3,6,4,2] => 0011011 => [2,2,1,2] => 180
[3,7,8,5,1,6,4,2] => 0011011 => [2,2,1,2] => 180
[5,7,8,3,6,1,4,2] => 0010101 => [2,1,1,1,1,1] => 297
[5,7,8,6,3,1,4,2] => 0011101 => [2,3,1,1] => 171
[7,5,8,6,1,3,4,2] => 1011001 => [1,1,2,2,1] => 295
[5,7,8,1,6,3,4,2] => 0010101 => [2,1,1,1,1,1] => 297
[5,7,8,1,3,6,4,2] => 0010011 => [2,1,2,2] => 180
[3,7,8,1,5,6,4,2] => 0010011 => [2,1,2,2] => 180
[1,7,8,3,5,6,4,2] => 0010011 => [2,1,2,2] => 180
[1,7,3,8,5,6,4,2] => 0101011 => [1,1,1,1,1,2] => 297
[3,7,1,8,5,6,4,2] => 0101011 => [1,1,1,1,1,2] => 297
[5,7,1,8,3,6,4,2] => 0101011 => [1,1,1,1,1,2] => 297
[5,7,1,8,6,3,4,2] => 0101101 => [1,1,1,2,1,1] => 359
[7,5,1,8,6,3,4,2] => 1101101 => [2,1,2,1,1] => 252
[7,5,8,1,6,3,4,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,8,5,1,6,3,4,2] => 0110101 => [1,2,1,1,1,1] => 345
[7,8,5,1,3,6,4,2] => 0110011 => [1,2,2,2] => 211
[7,5,8,1,3,6,4,2] => 1010011 => [1,1,1,2,2] => 255
[7,5,1,8,3,6,4,2] => 1101011 => [2,1,1,1,2] => 207
[7,5,1,3,8,6,4,2] => 1100111 => [2,2,3] => 105
[5,7,1,3,8,6,4,2] => 0100111 => [1,1,2,3] => 145
[3,7,1,5,8,6,4,2] => 0100111 => [1,1,2,3] => 145
[1,7,3,5,8,6,4,2] => 0100111 => [1,1,2,3] => 145
[1,5,3,7,8,6,4,2] => 0100111 => [1,1,2,3] => 145
[3,5,1,7,8,6,4,2] => 0100111 => [1,1,2,3] => 145
[5,3,1,7,8,6,4,2] => 1100111 => [2,2,3] => 105
[7,3,1,5,8,6,4,2] => 1100111 => [2,2,3] => 105
[7,3,1,8,5,6,4,2] => 1101011 => [2,1,1,1,2] => 207
[7,3,8,1,5,6,4,2] => 1010011 => [1,1,1,2,2] => 255
[7,8,3,1,5,6,4,2] => 0110011 => [1,2,2,2] => 211
[7,8,1,3,5,6,4,2] => 0100011 => [1,1,3,2] => 171
[7,1,8,3,5,6,4,2] => 1010011 => [1,1,1,2,2] => 255
[7,1,3,8,5,6,4,2] => 1001011 => [1,2,1,1,2] => 241
[7,1,3,5,8,6,4,2] => 1000111 => [1,3,3] => 95
[3,1,5,7,8,6,4,2] => 1000111 => [1,3,3] => 95
[5,7,3,4,6,8,1,2] => 0100010 => [1,1,3,1,1] => 233
[5,7,3,4,8,6,1,2] => 0100110 => [1,1,2,2,1] => 295
[5,7,3,4,8,1,6,2] => 0100101 => [1,1,2,1,1,1] => 359
[5,7,3,4,1,8,6,2] => 0101011 => [1,1,1,1,1,2] => 297
[5,7,3,4,1,6,8,2] => 0101001 => [1,1,1,1,2,1] => 345
[5,7,3,4,6,1,2,8] => 0100100 => [1,1,2,1,2] => 252
[7,3,5,6,1,2,8,4] => 1001001 => [1,2,1,2,1] => 281
[5,7,3,1,4,6,2,8] => 0110010 => [1,2,2,1,1] => 295
[5,7,3,1,4,6,8,2] => 0110001 => [1,2,3,1] => 185
[5,7,3,1,4,8,6,2] => 0110011 => [1,2,2,2] => 211
[5,7,3,1,4,8,2,6] => 0110010 => [1,2,2,1,1] => 295
[5,3,7,4,1,2,8,6] => 1011001 => [1,1,2,2,1] => 295
[5,3,7,4,1,2,6,8] => 1011000 => [1,1,2,3] => 145
[5,3,7,1,4,2,6,8] => 1010100 => [1,1,1,1,1,2] => 297
[5,3,7,1,4,2,8,6] => 1010101 => [1,1,1,1,1,1,1] => 429
[3,7,5,1,2,8,6,4] => 0110011 => [1,2,2,2] => 211
[7,8,3,5,1,2,6,4] => 0101001 => [1,1,1,1,2,1] => 345
[7,3,8,5,1,2,6,4] => 1011001 => [1,1,2,2,1] => 295
[7,3,5,8,1,2,6,4] => 1001001 => [1,2,1,2,1] => 281
[3,7,5,1,2,6,4,8] => 0110010 => [1,2,2,1,1] => 295
[3,7,5,1,2,6,8,4] => 0110001 => [1,2,3,1] => 185
[6,1,4,3,5,2,8,7] => 1010101 => [1,1,1,1,1,1,1] => 429
[2,5,7,3,8,4,1,6] => 0010110 => [2,1,1,2,1] => 241
[5,4,7,8,6,1,3,2] => 1001101 => [1,2,2,1,1] => 295
[7,5,6,2,8,3,1,4] => 1010110 => [1,1,1,1,2,1] => 345
[4,7,2,5,8,3,1,6] => 0100110 => [1,1,2,2,1] => 295
[6,2,4,5,1,3,8,7] => 1001001 => [1,2,1,2,1] => 281
[5,1,4,6,3,2,8,7] => 1001101 => [1,2,2,1,1] => 295
[3,5,6,2,4,1,8,7] => 0010101 => [2,1,1,1,1,1] => 297
[3,8,6,7,5,4,1,2] => 0101110 => [1,1,1,3,1] => 219
[6,2,7,8,3,4,1,5] => 1001010 => [1,2,1,1,1,1] => 345
[2,5,3,4,8,1,7,6] => 0100101 => [1,1,2,1,1,1] => 359
[8,7,1,2,5,3,4,6] => 1100100 => [2,2,1,2] => 180
[5,1,8,2,3,4,7,6] => 1010001 => [1,1,1,3,1] => 219
[5,4,7,6,2,8,1,3] => 1011010 => [1,1,2,1,1,1] => 359
[3,7,8,1,5,4,6,2] => 0010101 => [2,1,1,1,1,1] => 297
[7,1,3,4,6,8,5,2] => 1000011 => [1,4,2] => 81
[8,3,6,5,7,1,4,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,8,7,1,4,6,2,3] => 0110010 => [1,2,2,1,1] => 295
[4,7,6,1,8,3,5,2] => 0110101 => [1,2,1,1,1,1] => 345
[4,7,2,6,3,8,5,1] => 0101011 => [1,1,1,1,1,2] => 297
[2,1,8,4,6,7,3,5] => 1010010 => [1,1,1,2,1,1] => 359
[4,7,8,6,3,1,2,5] => 0011100 => [2,3,2] => 126
[3,8,1,5,6,7,2,4] => 0100010 => [1,1,3,1,1] => 233
[6,7,2,4,8,5,3,1] => 0100111 => [1,1,2,3] => 145
[2,8,3,6,7,5,1,4] => 0100110 => [1,1,2,2,1] => 295
[8,2,1,7,6,3,5,4] => 1101101 => [2,1,2,1,1] => 252
[3,2,4,5,8,1,7,6] => 1000101 => [1,3,1,1,1] => 219
[7,4,6,3,2,1,8,5] => 1011101 => [1,1,3,1,1] => 233
[4,7,3,2,1,8,6,5] => 0111011 => [1,3,1,2] => 157
[6,4,7,5,2,3,8,1] => 1011001 => [1,1,2,2,1] => 295
[6,4,8,1,7,3,2,5] => 1010110 => [1,1,1,1,2,1] => 345
[4,8,7,2,3,1,5,6] => 0110100 => [1,2,1,1,2] => 241
[4,2,3,1,8,7,5,6] => 1010110 => [1,1,1,1,2,1] => 345
[7,6,8,1,3,5,2,4] => 1010010 => [1,1,1,2,1,1] => 359
[6,7,5,2,3,1,8,4] => 0110101 => [1,2,1,1,1,1] => 345
[4,7,2,6,5,1,8,3] => 0101101 => [1,1,1,2,1,1] => 359
[6,4,2,1,8,5,7,3] => 1110101 => [3,1,1,1,1] => 165
[7,2,1,5,6,8,4,3] => 1100011 => [2,3,2] => 126
[8,7,2,6,4,1,5,3] => 1101101 => [2,1,2,1,1] => 252
[6,7,8,2,5,3,1,4] => 0010110 => [2,1,1,2,1] => 241
[2,1,7,3,6,8,5,4] => 1010011 => [1,1,1,2,2] => 255
[2,1,5,7,8,4,6,3] => 1000101 => [1,3,1,1,1] => 219
[2,5,7,8,3,6,1,4] => 0001010 => [3,1,1,1,1] => 165
[6,4,1,5,7,2,8,3] => 1100101 => [2,2,1,1,1] => 255
[7,4,8,1,2,5,6,3] => 1010001 => [1,1,1,3,1] => 219
[4,2,7,8,6,3,5,1] => 1001101 => [1,2,2,1,1] => 295
[6,1,7,4,3,2,8,5] => 1011101 => [1,1,3,1,1] => 233
[6,8,3,4,2,1,7,5] => 0101101 => [1,1,1,2,1,1] => 359
[4,2,6,1,5,7,8,3] => 1010001 => [1,1,1,3,1] => 219
[2,4,6,7,3,5,8,1] => 0001001 => [3,1,2,1] => 137
[6,5,8,3,7,4,1,2] => 1010110 => [1,1,1,1,2,1] => 345
[7,1,4,8,3,5,6,2] => 1001001 => [1,2,1,2,1] => 281
[6,8,7,5,3,4,1,2] => 0111010 => [1,3,1,1,1] => 219
[4,8,6,3,1,5,7,2] => 0111001 => [1,3,2,1] => 185
[3,4,8,2,5,7,6,1] => 0010011 => [2,1,2,2] => 180
[3,5,7,2,8,6,1,4] => 0010110 => [2,1,1,2,1] => 241
[2,5,7,4,8,6,1,3] => 0010110 => [2,1,1,2,1] => 241
[2,6,3,7,5,1,8,4] => 0101101 => [1,1,1,2,1,1] => 359
[2,6,4,8,7,5,1,3] => 0101110 => [1,1,1,3,1] => 219
[6,3,7,2,8,5,1,4] => 1010110 => [1,1,1,1,2,1] => 345
[3,6,2,5,8,7,1,4] => 0100110 => [1,1,2,2,1] => 295
[5,2,8,4,7,6,1,3] => 1010110 => [1,1,1,1,2,1] => 345
[7,2,4,8,6,5,1,3] => 1001110 => [1,2,3,1] => 185
[6,2,4,8,7,5,1,3] => 1001110 => [1,2,3,1] => 185
[2,4,5,8,7,6,1,3] => 0001110 => [3,3,1] => 95
[4,2,7,3,8,1,6,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[2,5,1,4,7,3,8,6] => 0100101 => [1,1,2,1,1,1] => 359
[6,1,3,8,7,2,5,4] => 1001101 => [1,2,2,1,1] => 295
[3,1,5,6,2,8,7,4] => 1001011 => [1,2,1,1,2] => 241
[4,1,5,2,8,7,6,3] => 1010111 => [1,1,1,1,3] => 165
[7,1,4,2,8,6,5,3] => 1010111 => [1,1,1,1,3] => 165
[4,1,5,3,2,8,7,6] => 1011011 => [1,1,2,1,2] => 252
[7,2,3,5,1,8,6,4] => 1001011 => [1,2,1,1,2] => 241
[3,4,5,1,8,7,6,2] => 0010111 => [2,1,1,3] => 117
[1,4,5,2,8,7,6,3] => 0010111 => [2,1,1,3] => 117
[1,6,4,2,8,7,5,3] => 0110111 => [1,2,1,3] => 137
[5,6,3,1,8,7,4,2] => 0110111 => [1,2,1,3] => 137
[7,4,2,5,1,8,6,3] => 1101011 => [2,1,1,1,2] => 207
[5,3,6,2,8,1,7,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,6,2,7,5,1,8,3] => 0101101 => [1,1,1,2,1,1] => 359
[1,5,3,6,2,8,7,4] => 0101011 => [1,1,1,1,1,2] => 297
[1,5,8,3,2,7,6,4] => 0011011 => [2,2,1,2] => 180
[4,5,8,2,1,7,6,3] => 0011011 => [2,2,1,2] => 180
[3,6,2,5,1,4,8,7] => 0101001 => [1,1,1,1,2,1] => 345
[5,2,8,4,1,3,7,6] => 1011001 => [1,1,2,2,1] => 295
[2,4,8,7,1,3,6,5] => 0011001 => [2,2,2,1] => 211
[1,3,8,2,4,7,6,5] => 0010011 => [2,1,2,2] => 180
[6,3,1,7,2,8,5,4] => 1101011 => [2,1,1,1,2] => 207
[7,5,1,2,8,6,4,3] => 1100111 => [2,2,3] => 105
[1,5,2,3,8,7,6,4] => 0100111 => [1,1,2,3] => 145
[4,5,1,2,8,7,6,3] => 0100111 => [1,1,2,3] => 145
[6,4,1,2,8,7,5,3] => 1100111 => [2,2,3] => 105
[5,3,1,7,2,8,6,4] => 1101011 => [2,1,1,1,2] => 207
[5,2,8,1,3,7,6,4] => 1010011 => [1,1,1,2,2] => 255
[4,7,5,6,8,3,1,2] => 0100110 => [1,1,2,2,1] => 295
[8,6,4,7,5,3,1,2] => 1101110 => [2,1,3,1] => 157
[1,6,3,7,5,8,4,2] => 0101011 => [1,1,1,1,1,2] => 297
[1,3,7,4,5,8,6,2] => 0010011 => [2,1,2,2] => 180
[6,8,4,7,5,3,1,2] => 0101110 => [1,1,1,3,1] => 219
[4,8,7,5,6,3,1,2] => 0110110 => [1,2,1,2,1] => 281
[8,6,5,2,1,4,3,7] => 1111010 => [4,1,1,1] => 75
[2,7,6,3,1,4,5,8] => 0111000 => [1,3,3] => 95
[2,7,6,4,5,1,3,8] => 0110100 => [1,2,1,1,2] => 241
[5,7,2,6,4,1,3,8] => 0101100 => [1,1,1,2,2] => 255
[1,8,2,7,3,6,5,4] => 0101011 => [1,1,1,1,1,2] => 297
[2,1,3,8,4,7,5,6] => 1001010 => [1,2,1,1,1,1] => 345
[8,1,2,7,4,3,6,5] => 1001101 => [1,2,2,1,1] => 295
[8,7,2,1,5,4,3,6] => 1110110 => [3,1,2,1] => 137
[2,4,8,3,1,5,6,7] => 0011000 => [2,2,3] => 105
[4,7,3,8,2,1,5,6] => 0101100 => [1,1,1,2,2] => 255
[5,2,7,3,1,4,6,8] => 1011000 => [1,1,2,3] => 145
[8,3,7,2,1,5,4,6] => 1011010 => [1,1,2,1,1,1] => 359
[2,6,4,5,7,1,3,8] => 0100100 => [1,1,2,1,2] => 252
[7,6,3,1,8,4,5,2] => 1110101 => [3,1,1,1,1] => 165
[1,7,5,8,6,4,3,2] => 0101111 => [1,1,1,4] => 75
[6,5,1,2,8,3,7,4] => 1100101 => [2,2,1,1,1] => 255
[6,8,4,1,3,7,5,2] => 0110011 => [1,2,2,2] => 211
[5,8,3,1,7,4,6,2] => 0110101 => [1,2,1,1,1,1] => 345
[8,3,1,7,5,4,6,2] => 1101101 => [2,1,2,1,1] => 252
[1,2,8,7,6,3,5,4] => 0011101 => [2,3,1,1] => 171
[2,3,1,8,7,4,5,6] => 0101100 => [1,1,1,2,2] => 255
[2,4,1,8,5,7,3,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,8,2,1,7,6,3,4] => 0110110 => [1,2,1,2,1] => 281
[6,2,7,1,8,5,3,4] => 1010110 => [1,1,1,1,2,1] => 345
[8,7,1,6,5,4,3,2] => 1101111 => [2,1,4] => 55
[7,1,8,3,6,5,4,2] => 1010111 => [1,1,1,1,3] => 165
[8,1,2,3,4,5,9,6,7] => 10000010 => [1,5,1,1] => 170
[8,1,2,3,4,9,5,6,7] => 10000100 => [1,4,1,2] => 303
[8,1,2,9,3,4,5,6,7] => 10010000 => [1,2,1,4] => 235
[8,1,9,2,3,4,5,6,7] => 10100000 => [1,1,1,5] => 110
[6,1,2,3,4,5,8,9,7] => 10000001 => [1,6,1] => 50
[9,1,2,3,4,5,6,10,7,8] => 100000010 => [1,6,1,1] => 254
[5,1,2,3,4,8,9,6,7] => 10000010 => [1,5,1,1] => 170
[9,1,2,3,4,5,10,6,7,8] => 100000100 => [1,5,1,2] => 534
[4,1,2,3,8,9,5,6,7] => 10000100 => [1,4,1,2] => 303
[3,1,2,8,9,4,5,6,7] => 10001000 => [1,3,1,3] => 332
[9,1,2,3,10,4,5,6,7,8] => 100010000 => [1,3,1,4] => 626
[2,1,8,9,3,4,5,6,7] => 10010000 => [1,2,1,4] => 235
[9,1,2,10,3,4,5,6,7,8] => 100100000 => [1,2,1,5] => 375
[3,5,8,7,2,6,4,1] => 0011011 => [2,2,1,2] => 180
[5,8,2,7,1,6,4,3] => 0101011 => [1,1,1,1,1,2] => 297
[2,1,6,4,5,8,3,7] => 1010010 => [1,1,1,2,1,1] => 359
[8,6,3,7,5,2,1,4] => 1101110 => [2,1,3,1] => 157
[4,6,3,8,5,2,1,7] => 0101110 => [1,1,1,3,1] => 219
[4,6,3,7,5,2,8,1] => 0101101 => [1,1,1,2,1,1] => 359
[3,5,7,8,2,6,1,4] => 0001010 => [3,1,1,1,1] => 165
[7,2,3,4,6,8,5,1] => 1000011 => [1,4,2] => 81
[4,2,3,6,1,5,8,7] => 1001001 => [1,2,1,2,1] => 281
[4,8,3,7,5,1,6,2] => 0101101 => [1,1,1,2,1,1] => 359
[5,2,3,4,8,7,1,6] => 1000110 => [1,3,2,1] => 185
[5,2,3,4,6,8,1,7] => 1000010 => [1,4,1,1] => 107
[4,2,8,5,7,6,1,3] => 1010110 => [1,1,1,1,2,1] => 345
[3,7,6,4,5,1,8,2] => 0110101 => [1,2,1,1,1,1] => 345
[3,8,6,4,5,1,2,7] => 0110100 => [1,2,1,1,2] => 241
[4,8,3,7,5,2,1,6] => 0101110 => [1,1,1,3,1] => 219
[8,7,3,6,5,1,2,4] => 1101100 => [2,1,2,2] => 180
[4,2,7,5,8,6,3,1] => 1010111 => [1,1,1,1,3] => 165
[5,8,1,7,3,6,4,2] => 0101011 => [1,1,1,1,1,2] => 297
[5,2,7,8,4,6,3,1] => 1001011 => [1,2,1,1,2] => 241
[5,2,8,3,7,6,1,4] => 1010110 => [1,1,1,1,2,1] => 345
[8,2,7,3,1,6,4,5] => 1011010 => [1,1,2,1,1,1] => 359
[6,2,3,4,8,5,1,7] => 1000110 => [1,3,2,1] => 185
[6,2,3,4,1,8,5,7] => 1001010 => [1,2,1,1,1,1] => 345
[7,2,3,4,1,8,6,5] => 1001011 => [1,2,1,1,2] => 241
[7,2,3,4,1,5,8,6] => 1001001 => [1,2,1,2,1] => 281
[1,2,3,4,8,7,5,6] => 0000110 => [4,2,1] => 65
[1,2,8,5,3,4,6,7] => 0011000 => [2,2,3] => 105
[1,8,4,2,3,5,6,7] => 0110000 => [1,2,4] => 65
[8,6,7,4,1,5,3,2] => 1011011 => [1,1,2,1,2] => 252
[4,8,6,7,5,1,3,2] => 0101101 => [1,1,1,2,1,1] => 359
[7,1,8,4,6,5,2,3] => 1010110 => [1,1,1,1,2,1] => 345
[8,7,1,5,4,6,2,3] => 1101010 => [2,1,1,1,1,1] => 297
[8,5,7,1,4,6,3,2] => 1010011 => [1,1,1,2,2] => 255
[6,4,8,5,1,7,3,2] => 1011011 => [1,1,2,1,2] => 252
[4,8,5,7,1,6,3,2] => 0101011 => [1,1,1,1,1,2] => 297
[8,4,7,1,5,6,3,2] => 1010011 => [1,1,1,2,2] => 255
[8,7,1,4,5,6,3,2] => 1100011 => [2,3,2] => 126
[8,7,4,5,6,1,3,2] => 1100101 => [2,2,1,1,1] => 255
[8,7,5,1,4,6,2,3] => 1110010 => [3,2,1,1] => 145
[8,7,2,5,1,4,6,3] => 1101001 => [2,1,1,2,1] => 241
[4,8,7,2,5,1,6,3] => 0110101 => [1,2,1,1,1,1] => 345
[1,6,4,8,5,2,7,3] => 0101101 => [1,1,1,2,1,1] => 359
[8,7,1,4,2,5,6,3] => 1101001 => [2,1,1,2,1] => 241
[8,7,5,1,2,4,6,3] => 1110001 => [3,3,1] => 95
[7,1,8,5,6,2,3,4] => 1010100 => [1,1,1,1,1,2] => 297
[3,8,7,1,2,5,6,4] => 0110001 => [1,2,3,1] => 185
[3,5,8,7,1,2,6,4] => 0011001 => [2,2,2,1] => 211
[2,3,8,5,7,1,6,4] => 0010101 => [2,1,1,1,1,1] => 297
[3,8,7,1,5,6,2,4] => 0110010 => [1,2,2,1,1] => 295
[3,5,8,7,1,6,2,4] => 0011010 => [2,2,1,1,1] => 255
[2,3,8,6,7,5,1,4] => 0010110 => [2,1,1,2,1] => 241
[3,2,8,6,7,5,1,4] => 1010110 => [1,1,1,1,2,1] => 345
[4,1,8,6,2,7,5,3] => 1011011 => [1,1,2,1,2] => 252
[8,7,4,1,2,6,5,3] => 1110011 => [3,2,2] => 105
[1,3,8,6,7,5,2,4] => 0010110 => [2,1,1,2,1] => 241
[5,7,1,8,2,6,3,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,8,7,1,5,6,3,4] => 0110010 => [1,2,2,1,1] => 295
[8,7,1,5,2,4,6,3] => 1101001 => [2,1,1,2,1] => 241
[7,1,8,2,4,6,5,3] => 1010011 => [1,1,1,2,2] => 255
[1,6,2,8,4,7,5,3] => 0101011 => [1,1,1,1,1,2] => 297
[1,3,8,5,7,2,6,4] => 0010101 => [2,1,1,1,1,1] => 297
[1,8,3,7,2,5,6,4] => 0101001 => [1,1,1,1,2,1] => 345
[2,8,7,1,3,5,6,4] => 0110001 => [1,2,3,1] => 185
[5,7,1,8,2,3,6,4] => 0101001 => [1,1,1,1,2,1] => 345
[7,1,8,2,3,5,6,4] => 1010001 => [1,1,1,3,1] => 219
[8,6,3,7,4,1,5,2] => 1101101 => [2,1,2,1,1] => 252
[4,2,8,6,7,5,1,3] => 1010110 => [1,1,1,1,2,1] => 345
[8,4,2,7,5,6,1,3] => 1101010 => [2,1,1,1,1,1] => 297
[4,8,3,6,1,7,5,2] => 0101011 => [1,1,1,1,1,2] => 297
[8,3,4,7,5,1,6,2] => 1001101 => [1,2,2,1,1] => 295
[8,3,7,4,5,1,6,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,7,4,2,5,6,1,3] => 1110010 => [3,2,1,1] => 145
[8,7,5,1,6,2,3,4] => 1110100 => [3,1,1,2] => 117
[8,7,2,4,1,5,6,3] => 1101001 => [2,1,1,2,1] => 241
[4,8,6,1,7,2,5,3] => 0110101 => [1,2,1,1,1,1] => 345
[4,7,1,8,2,6,5,3] => 0101011 => [1,1,1,1,1,2] => 297
[4,2,8,6,7,1,5,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,7,4,1,2,5,6,3] => 1110001 => [3,3,1] => 95
[8,2,7,1,6,3,4,5] => 1010100 => [1,1,1,1,1,2] => 297
[8,2,7,1,3,6,4,5] => 1010010 => [1,1,1,2,1,1] => 359
[2,8,3,6,7,1,5,4] => 0100101 => [1,1,2,1,1,1] => 359
[8,7,2,1,3,5,6,4] => 1110001 => [3,3,1] => 95
[1,8,7,2,3,6,4,5] => 0110010 => [1,2,2,1,1] => 295
[1,8,7,2,6,3,4,5] => 0110100 => [1,2,1,1,2] => 241
[8,2,7,3,6,1,4,5] => 1010100 => [1,1,1,1,1,2] => 297
[1,8,7,3,6,2,4,5] => 0110100 => [1,2,1,1,2] => 241
[1,8,2,7,6,3,4,5] => 0101100 => [1,1,1,2,2] => 255
[8,2,7,4,1,5,6,3] => 1011001 => [1,1,2,2,1] => 295
[8,2,1,7,5,6,3,4] => 1101010 => [2,1,1,1,1,1] => 297
[8,7,3,1,5,6,2,4] => 1110010 => [3,2,1,1] => 145
[2,8,7,3,5,6,1,4] => 0110010 => [1,2,2,1,1] => 295
[8,3,1,6,7,5,2,4] => 1100110 => [2,2,2,1] => 211
[8,5,2,1,6,7,4,3] => 1110011 => [3,2,2] => 105
[1,5,2,8,6,7,4,3] => 0101011 => [1,1,1,1,1,2] => 297
[1,2,8,6,7,5,3,4] => 0010110 => [2,1,1,2,1] => 241
[1,8,3,6,7,5,2,4] => 0100110 => [1,1,2,2,1] => 295
[8,2,3,6,7,5,1,4] => 1000110 => [1,3,2,1] => 185
[8,3,7,2,5,6,1,4] => 1010010 => [1,1,1,2,1,1] => 359
[8,1,3,7,5,6,2,4] => 1001010 => [1,2,1,1,1,1] => 345
[8,4,1,2,7,5,6,3] => 1100101 => [2,2,1,1,1] => 255
[8,1,4,2,6,7,5,3] => 1010011 => [1,1,1,2,2] => 255
[1,2,8,6,7,3,5,4] => 0010101 => [2,1,1,1,1,1] => 297
[8,1,2,7,3,6,4,5] => 1001010 => [1,2,1,1,1,1] => 345
[8,1,7,3,6,2,4,5] => 1010100 => [1,1,1,1,1,2] => 297
[8,1,7,2,6,3,4,5] => 1010100 => [1,1,1,1,1,2] => 297
[8,1,7,2,3,6,4,5] => 1010010 => [1,1,1,2,1,1] => 359
[8,1,3,7,2,5,6,4] => 1001001 => [1,2,1,2,1] => 281
[1,8,3,6,7,2,5,4] => 0100101 => [1,1,2,1,1,1] => 359
[1,7,8,2,3,6,5,4] => 0010011 => [2,1,2,2] => 180
[8,3,7,1,2,5,6,4] => 1010001 => [1,1,1,3,1] => 219
[8,7,1,2,3,6,4,5] => 1100010 => [2,3,1,1] => 171
[2,8,5,7,4,6,3,1] => 0101011 => [1,1,1,1,1,2] => 297
[3,1,8,5,7,4,2,6] => 1010110 => [1,1,1,1,2,1] => 345
[8,3,5,7,4,2,6,1] => 1001101 => [1,2,2,1,1] => 295
[8,3,6,2,4,5,7,1] => 1010001 => [1,1,1,3,1] => 219
[2,8,6,4,3,5,7,1] => 0111001 => [1,3,2,1] => 185
[2,6,8,3,5,4,7,1] => 0010101 => [2,1,1,1,1,1] => 297
[2,7,5,8,4,6,3,1] => 0101011 => [1,1,1,1,1,2] => 297
[8,4,2,7,6,1,3,5] => 1101100 => [2,1,2,2] => 180
[4,8,1,7,6,3,2,5] => 0101110 => [1,1,1,3,1] => 219
[4,1,7,6,2,3,5,8] => 1011000 => [1,1,2,3] => 145
[3,7,1,8,6,2,5,4] => 0101101 => [1,1,1,2,1,1] => 359
[3,1,7,6,4,5,2,8] => 1011010 => [1,1,2,1,1,1] => 359
[3,1,7,5,8,4,2,6] => 1010110 => [1,1,1,1,2,1] => 345
[3,1,6,8,7,5,2,4] => 1001110 => [1,2,3,1] => 185
[6,3,8,7,5,2,4,1] => 1011101 => [1,1,3,1,1] => 233
[7,3,5,8,4,2,6,1] => 1001101 => [1,2,2,1,1] => 295
[7,3,6,4,2,8,5,1] => 1011011 => [1,1,2,1,2] => 252
[7,8,3,6,2,5,4,1] => 0101011 => [1,1,1,1,1,2] => 297
[7,4,8,2,1,6,3,5] => 1011010 => [1,1,2,1,1,1] => 359
[8,7,4,6,3,2,5,1] => 1101101 => [2,1,2,1,1] => 252
[7,8,5,2,1,4,3,6] => 0111010 => [1,3,1,1,1] => 219
[7,5,2,3,1,4,8,6] => 1101001 => [2,1,1,2,1] => 241
[7,4,6,2,3,8,1,5] => 1010010 => [1,1,1,2,1,1] => 359
[6,4,2,5,8,3,7,1] => 1100101 => [2,2,1,1,1] => 255
[4,6,5,8,1,3,2,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,7,1,5,3,8,2,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,7,8,1,3,6,2,5] => 0010010 => [2,1,2,1,1] => 252
[5,7,1,3,4,6,2,8] => 0100010 => [1,1,3,1,1] => 233
[5,7,1,4,2,3,6,8] => 0101000 => [1,1,1,1,3] => 165
[5,8,1,3,2,4,6,7] => 0101000 => [1,1,1,1,3] => 165
[4,8,6,1,3,2,7,5] => 0110101 => [1,2,1,1,1,1] => 345
[8,4,6,2,1,3,7,5] => 1011001 => [1,1,2,2,1] => 295
[5,4,8,7,2,3,6,1] => 1011001 => [1,1,2,2,1] => 295
[5,4,8,7,3,1,2,6] => 1011100 => [1,1,3,2] => 171
[6,8,3,7,2,5,4,1] => 0101011 => [1,1,1,1,1,2] => 297
[5,4,6,8,2,3,7,1] => 1001001 => [1,2,1,2,1] => 281
[5,7,4,2,8,3,6,1] => 0110101 => [1,2,1,1,1,1] => 345
[6,4,7,2,1,8,3,5] => 1011010 => [1,1,2,1,1,1] => 359
[6,5,3,4,1,2,8,7] => 1101001 => [2,1,1,2,1] => 241
[6,8,5,4,1,3,2,7] => 0111010 => [1,3,1,1,1] => 219
[6,4,3,7,1,5,2,8] => 1101010 => [2,1,1,1,1,1] => 297
[9,8,7,6,5,2,3,1,4] => 11111010 => [5,1,1,1] => 110
[9,8,7,6,3,4,2,1,5] => 11110110 => [4,1,2,1] => 235
[9,8,7,4,5,3,2,1,6] => 11101110 => [3,1,3,1] => 332
[9,8,5,6,4,3,2,1,7] => 11011110 => [2,1,4,1] => 303
[9,6,7,5,4,3,2,1,8] => 10111110 => [1,1,5,1] => 170
[7,4,2,6,1,5,3,8] => 1101010 => [2,1,1,1,1,1] => 297
[7,4,2,5,6,1,3,8] => 1100100 => [2,2,1,2] => 180
[6,4,2,8,1,5,7,3] => 1101001 => [2,1,1,2,1] => 241
[6,3,7,8,2,5,1,4] => 1001010 => [1,2,1,1,1,1] => 345
[7,3,5,6,4,2,1,8] => 1001110 => [1,2,3,1] => 185
[7,4,3,1,5,6,2,8] => 1110010 => [3,2,1,1] => 145
[7,4,5,2,6,1,3,8] => 1010100 => [1,1,1,1,1,2] => 297
[5,3,7,2,8,6,4,1] => 1010111 => [1,1,1,1,3] => 165
[5,3,8,2,6,7,4,1] => 1010011 => [1,1,1,2,2] => 255
[6,3,8,2,5,4,7,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,4,8,2,1,5,7,3] => 1011001 => [1,1,2,2,1] => 295
[6,4,3,1,8,2,7,5] => 1110101 => [3,1,1,1,1] => 165
[5,3,7,8,2,6,4,1] => 1001011 => [1,2,1,1,2] => 241
[4,7,8,5,6,3,2,1] => 0010111 => [2,1,1,3] => 117
[5,3,7,6,8,2,4,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,7,8,4,6,2,1,3] => 0010110 => [2,1,1,2,1] => 241
[5,8,4,3,6,7,1,2] => 0110010 => [1,2,2,1,1] => 295
[5,8,6,4,7,2,1,3] => 0110110 => [1,2,1,2,1] => 281
[5,3,8,6,2,7,4,1] => 1011011 => [1,1,2,1,2] => 252
[4,7,5,8,6,3,2,1] => 0101111 => [1,1,1,4] => 75
[4,8,6,7,5,3,2,1] => 0101111 => [1,1,1,4] => 75
[6,3,8,7,2,4,1,5] => 1011010 => [1,1,2,1,1,1] => 359
[5,3,8,7,2,6,4,1] => 1011011 => [1,1,2,1,2] => 252
[5,3,8,6,7,2,4,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,3,7,8,6,2,4,1] => 1001101 => [1,2,2,1,1] => 295
[5,7,6,4,8,2,1,3] => 0110110 => [1,2,1,2,1] => 281
[5,8,4,6,7,2,1,3] => 0100110 => [1,1,2,2,1] => 295
[6,4,2,8,1,7,3,5] => 1101010 => [2,1,1,1,1,1] => 297
[6,5,2,4,3,7,8,1] => 1101001 => [2,1,1,2,1] => 241
[5,4,6,2,8,7,1,3] => 1010110 => [1,1,1,1,2,1] => 345
[5,6,3,8,7,2,4,1] => 0101101 => [1,1,1,2,1,1] => 359
[6,7,4,3,1,8,2,5] => 0111010 => [1,3,1,1,1] => 219
[5,7,4,3,6,8,1,2] => 0110010 => [1,2,2,1,1] => 295
[5,7,3,8,6,2,4,1] => 0101101 => [1,1,1,2,1,1] => 359
[4,5,8,6,7,3,2,1] => 0010111 => [2,1,1,3] => 117
[4,6,8,5,7,3,2,1] => 0010111 => [2,1,1,3] => 117
[5,6,8,3,7,2,4,1] => 0010101 => [2,1,1,1,1,1] => 297
[5,4,6,8,2,7,1,3] => 1001010 => [1,2,1,1,1,1] => 345
[5,7,8,2,6,4,1,3] => 0010110 => [2,1,1,2,1] => 241
[1,7,4,8,6,2,3,5] => 0101100 => [1,1,1,2,2] => 255
[3,6,2,5,7,8,1,4] => 0100010 => [1,1,3,1,1] => 233
[5,2,7,4,6,8,1,3] => 1010010 => [1,1,1,2,1,1] => 359
[5,3,6,7,1,8,4,2] => 1001011 => [1,2,1,1,2] => 241
[4,2,5,6,7,1,8,3] => 1000101 => [1,3,1,1,1] => 219
[8,1,3,6,7,2,4,5] => 1000100 => [1,3,1,2] => 157
[8,1,4,2,5,6,3,7] => 1010010 => [1,1,1,2,1,1] => 359
[8,1,4,2,7,5,3,6] => 1010110 => [1,1,1,1,2,1] => 345
[6,1,3,8,2,7,4,5] => 1001010 => [1,2,1,1,1,1] => 345
[7,3,4,1,5,8,6,2] => 1010011 => [1,1,1,2,2] => 255
[1,7,5,2,8,6,3,4] => 0110110 => [1,2,1,2,1] => 281
[3,7,4,1,8,5,6,2] => 0110101 => [1,2,1,1,1,1] => 345
[5,6,3,1,7,8,4,2] => 0110011 => [1,2,2,2] => 211
[3,6,4,8,1,5,7,2] => 0101001 => [1,1,1,1,2,1] => 345
[1,5,8,4,2,6,3,7] => 0011010 => [2,2,1,1,1] => 255
[3,5,7,4,1,6,8,2] => 0011001 => [2,2,2,1] => 211
[3,5,7,1,2,6,4,8] => 0010010 => [2,1,2,1,1] => 252
[4,5,1,8,2,3,7,6] => 0101001 => [1,1,1,1,2,1] => 345
[4,7,1,8,2,6,3,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[7,5,1,2,3,8,6,4] => 1100011 => [2,3,2] => 126
[6,4,1,2,7,3,8,5] => 1100101 => [2,2,1,1,1] => 255
[5,2,6,1,3,4,8,7] => 1010001 => [1,1,1,3,1] => 219
[7,8,4,5,1,3,2,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[6,7,1,3,2,5,4,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[6,7,1,4,3,5,2,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[7,8,2,3,1,5,4,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[7,8,2,4,3,5,1,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[7,8,2,4,1,5,3,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,4,2,6,5,7,3,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,6,1,4,2,7,3,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[6,7,2,4,1,5,3,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[6,7,2,4,3,5,1,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[6,7,2,3,1,5,4,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[6,7,3,5,4,8,1,2] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,4,1,6,5,7,3,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,5,2,6,4,7,3,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,5,1,6,4,7,3,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,6,5,7,4,8,1,2] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,6,2,4,3,7,1,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,5,2,6,1,7,3,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,5,1,6,3,7,2,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,5,3,6,1,7,2,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,6,3,4,1,7,2,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,6,1,4,3,7,2,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,6,1,3,2,7,4,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,6,4,7,1,3,2,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[6,7,4,5,1,3,2,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[6,7,5,8,1,3,2,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,5,1,3,2,7,6,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,6,5,7,1,3,2,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,6,1,3,2,7,5,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,4,3,6,2,7,5,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,4,1,6,5,7,2,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,5,2,3,1,7,6,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,5,3,7,6,8,1,2] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,6,5,7,3,8,1,2] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,6,5,7,2,3,1,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,5,4,6,1,7,2,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,5,1,6,4,7,2,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,5,3,6,4,7,2,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,5,3,6,2,7,4,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,5,2,6,1,7,4,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,5,2,6,4,7,1,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,4,2,6,1,7,5,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,6,2,3,1,7,5,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,4,3,6,1,7,5,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,5,3,6,4,7,1,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,5,3,6,1,7,4,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,6,2,7,5,4,8,1] => 0101101 => [1,1,1,2,1,1] => 359
[4,6,1,7,3,8,2,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,2,6,7,4,3,8,1] => 1001101 => [1,2,2,1,1] => 295
[3,5,2,7,6,4,8,1] => 0101101 => [1,1,1,2,1,1] => 359
[1,5,7,2,8,3,6,4] => 0010101 => [2,1,1,1,1,1] => 297
[2,5,7,3,1,8,4,6] => 0011010 => [2,2,1,1,1] => 255
[1,3,7,2,8,5,6,4] => 0010101 => [2,1,1,1,1,1] => 297
[2,1,5,6,8,4,3,7] => 1000110 => [1,3,2,1] => 185
[1,3,7,2,8,5,4,6] => 0010110 => [2,1,1,2,1] => 241
[4,6,2,7,1,8,3,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,5,4,3,6,8,2,7] => 0110010 => [1,2,2,1,1] => 295
[1,6,4,5,7,8,3,2] => 0100011 => [1,1,3,2] => 171
[2,1,5,6,8,4,7,3] => 1000101 => [1,3,1,1,1] => 219
[2,1,5,6,8,7,3,4] => 1000110 => [1,3,2,1] => 185
[3,6,5,2,7,8,4,1] => 0110011 => [1,2,2,2] => 211
[6,2,4,7,5,8,3,1] => 1001011 => [1,2,1,1,2] => 241
[1,5,7,8,4,2,6,3] => 0001101 => [3,2,1,1] => 145
[3,7,4,1,8,6,2,5] => 0110110 => [1,2,1,2,1] => 281
[3,4,6,8,5,7,2,1] => 0001011 => [3,1,1,2] => 117
[4,2,5,7,3,1,8,6] => 1001101 => [1,2,2,1,1] => 295
[4,5,6,2,8,7,3,1] => 0010111 => [2,1,1,3] => 117
[2,5,6,8,1,7,4,3] => 0001011 => [3,1,1,2] => 117
[4,5,6,1,8,7,3,2] => 0010111 => [2,1,1,3] => 117
[4,5,6,3,1,8,7,2] => 0011011 => [2,2,1,2] => 180
[4,3,6,2,1,7,5,8] => 1011010 => [1,1,2,1,1,1] => 359
[4,6,3,2,1,7,5,8] => 0111010 => [1,3,1,1,1] => 219
[4,6,3,1,7,5,2,8] => 0110110 => [1,2,1,2,1] => 281
[4,5,3,7,6,1,8,2] => 0101101 => [1,1,1,2,1,1] => 359
[4,5,1,7,3,8,6,2] => 0101011 => [1,1,1,1,1,2] => 297
[2,5,7,1,4,3,8,6] => 0010101 => [2,1,1,1,1,1] => 297
[4,3,5,7,6,1,8,2] => 1001101 => [1,2,2,1,1] => 295
[4,3,6,1,7,5,2,8] => 1010110 => [1,1,1,1,2,1] => 345
[4,3,2,6,1,7,5,8] => 1101010 => [2,1,1,1,1,1] => 297
[5,3,2,1,6,4,7,8] => 1110100 => [3,1,1,2] => 117
[5,3,1,6,2,7,4,8] => 1101010 => [2,1,1,1,1,1] => 297
[5,1,6,3,2,7,4,8] => 1011010 => [1,1,2,1,1,1] => 359
[2,6,1,4,7,5,3,8] => 0100110 => [1,1,2,2,1] => 295
[3,6,1,7,4,2,5,8] => 0101100 => [1,1,1,2,2] => 255
[4,6,1,7,5,3,2,8] => 0101110 => [1,1,1,3,1] => 219
[5,1,6,3,7,4,2,8] => 1010110 => [1,1,1,1,2,1] => 345
[5,3,6,4,2,1,7,8] => 1011100 => [1,1,3,2] => 171
[5,3,2,6,4,1,7,8] => 1101100 => [2,1,2,2] => 180
[5,2,1,6,3,7,4,8] => 1101010 => [2,1,1,1,1,1] => 297
[5,2,6,3,1,7,4,8] => 1011010 => [1,1,2,1,1,1] => 359
[4,2,6,3,1,7,8,5] => 1011001 => [1,1,2,2,1] => 295
[3,6,2,1,7,4,5,8] => 0110100 => [1,2,1,1,2] => 241
[3,6,2,7,4,1,5,8] => 0101100 => [1,1,1,2,2] => 255
[3,5,7,2,8,6,4,1] => 0010111 => [2,1,1,3] => 117
[2,4,7,1,3,6,5,8] => 0010010 => [2,1,2,1,1] => 252
[2,6,1,3,7,5,4,8] => 0100110 => [1,1,2,2,1] => 295
[3,6,1,7,5,2,4,8] => 0101100 => [1,1,1,2,2] => 255
[5,1,6,2,7,4,3,8] => 1010110 => [1,1,1,1,2,1] => 345
[5,2,6,4,3,1,7,8] => 1011100 => [1,1,3,2] => 171
[5,2,1,6,4,3,7,8] => 1101100 => [2,1,2,2] => 180
[5,4,2,1,6,3,7,8] => 1110100 => [3,1,1,2] => 117
[5,4,2,6,3,1,7,8] => 1101100 => [2,1,2,2] => 180
[5,4,1,6,2,7,3,8] => 1101010 => [2,1,1,1,1,1] => 297
[5,1,6,4,2,7,3,8] => 1011010 => [1,1,2,1,1,1] => 359
[3,6,1,7,5,4,8,2] => 0101101 => [1,1,1,2,1,1] => 359
[2,6,1,5,4,3,7,8] => 0101100 => [1,1,1,2,2] => 255
[3,1,6,2,5,4,7,8] => 1010100 => [1,1,1,1,1,2] => 297
[5,1,6,4,3,2,7,8] => 1011100 => [1,1,3,2] => 171
[5,4,1,6,3,2,7,8] => 1101100 => [2,1,2,2] => 180
[5,4,3,1,6,2,7,8] => 1110100 => [3,1,1,2] => 117
[8,2,1,7,6,5,4,3,9] => 11011110 => [2,1,4,1] => 303
[7,3,1,6,5,4,8,2] => 1101101 => [2,1,2,1,1] => 252
[7,2,8,1,5,4,3,6] => 1010110 => [1,1,1,1,2,1] => 345
[4,2,7,6,5,8,1,3] => 1011010 => [1,1,2,1,1,1] => 359
[3,8,2,6,5,4,1,7] => 0101110 => [1,1,1,3,1] => 219
[3,2,8,7,6,5,4,1,9] => 10111110 => [1,1,5,1] => 170
[9,2,1,8,7,6,5,4,3,10] => 110111110 => [2,1,5,1] => 534
[8,3,1,7,6,5,4,9,2] => 11011101 => [2,1,3,1,1] => 609
[8,2,9,1,6,5,4,3,7] => 10101110 => [1,1,1,1,3,1] => 770
[7,3,2,1,5,4,6,8] => 1110100 => [3,1,1,2] => 117
[7,2,8,6,1,4,3,5] => 1011010 => [1,1,2,1,1,1] => 359
[5,2,7,6,8,4,1,3] => 1010110 => [1,1,1,1,2,1] => 345
[4,2,8,7,6,5,9,1,3] => 10111010 => [1,1,3,1,1,1] => 842
[3,8,7,2,5,4,1,6] => 0110110 => [1,2,1,2,1] => 281
[3,9,2,7,6,5,4,1,8] => 01011110 => [1,1,1,4,1] => 410
[3,2,9,8,7,6,5,4,1,10] => 101111110 => [1,1,6,1] => 254
[9,3,1,8,7,6,5,4,10,2] => 110111101 => [2,1,4,1,1] => 1304
[9,2,10,1,7,6,5,4,3,8] => 101011110 => [1,1,1,1,4,1] => 1529
[8,4,1,7,6,5,9,3,2] => 11011011 => [2,1,2,1,2] => 623
[8,3,2,1,6,5,4,7,9] => 11101100 => [3,1,2,2] => 365
[8,2,9,7,1,5,4,3,6] => 10110110 => [1,1,2,1,2,1] => 1006
[7,5,1,6,8,4,3,2] => 1100111 => [2,2,3] => 105
[7,4,2,1,5,6,3,8] => 1110010 => [3,2,1,1] => 145
[7,2,8,6,5,1,3,4] => 1011100 => [1,1,3,2] => 171
[5,3,2,6,7,4,1,8] => 1100110 => [2,2,2,1] => 211
[5,2,8,7,6,9,4,1,3] => 10110110 => [1,1,2,1,2,1] => 1006
[4,3,7,2,5,6,1,8] => 1010010 => [1,1,1,2,1,1] => 359
[4,3,2,7,6,5,8,1,9] => 11011010 => [2,1,2,1,1,1] => 875
[4,2,9,8,7,6,5,10,1,3] => 101111010 => [1,1,4,1,1,1] => 1754
[3,9,8,2,6,5,4,1,7] => 01101110 => [1,2,1,3,1] => 646
[3,10,2,8,7,6,5,4,1,9] => 010111110 => [1,1,1,5,1] => 704
[6,7,1,4,3,2,5,8] => 0101100 => [1,1,1,2,2] => 255
[3,4,2,6,7,1,5,8] => 0100100 => [1,1,2,1,2] => 252
[3,7,1,6,5,2,4,8] => 0101100 => [1,1,1,2,2] => 255
[3,5,6,2,4,7,1,8] => 0010010 => [2,1,2,1,1] => 252
[3,5,8,7,2,4,6,1] => 0011001 => [2,2,2,1] => 211
[1,7,8,2,5,4,3,6] => 0010110 => [2,1,1,2,1] => 241
[8,7,2,5,4,3,6,1] => 1101101 => [2,1,2,1,1] => 252
[2,5,6,4,7,1,3,8] => 0010100 => [2,1,1,1,2] => 207
[4,7,1,6,3,5,2,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,5,3,8,7,2,6,1] => 0101101 => [1,1,1,2,1,1] => 359
[1,4,5,3,7,8,2,6] => 0010010 => [2,1,2,1,1] => 252
[1,4,8,2,7,6,3,5] => 0010110 => [2,1,1,2,1] => 241
[4,7,3,5,1,8,6,2] => 0101011 => [1,1,1,1,1,2] => 297
[8,7,3,6,1,5,4,2] => 1101011 => [2,1,1,1,2] => 207
[2,5,8,7,4,6,1,3] => 0011010 => [2,2,1,1,1] => 255
[5,4,2,1,7,8,3,6] => 1110010 => [3,2,1,1] => 145
[4,7,8,3,5,2,1,6] => 0010110 => [2,1,1,2,1] => 241
[4,7,6,2,1,8,3,5] => 0111010 => [1,3,1,1,1] => 219
[1,4,6,7,3,5,8,2] => 0001001 => [3,1,2,1] => 137
[8,3,6,2,1,7,5,4] => 1011011 => [1,1,2,1,2] => 252
[8,3,7,6,4,2,1,5] => 1011110 => [1,1,4,1] => 107
[2,3,1,8,4,7,6,5] => 0101011 => [1,1,1,1,1,2] => 297
[2,7,4,8,6,5,1,3] => 0101110 => [1,1,1,3,1] => 219
[8,6,5,1,4,7,3,2] => 1110011 => [3,2,2] => 105
[8,5,4,1,7,3,6,2] => 1110101 => [3,1,1,1,1] => 165
[6,3,7,2,8,5,4,1] => 1010111 => [1,1,1,1,3] => 165
[1,6,3,8,2,7,5,4] => 0101011 => [1,1,1,1,1,2] => 297
[1,7,5,3,8,2,6,4] => 0110101 => [1,2,1,1,1,1] => 345
[6,2,7,4,1,8,5,3] => 1011011 => [1,1,2,1,2] => 252
[8,6,3,2,7,5,1,4] => 1110110 => [3,1,2,1] => 137
[2,7,5,1,3,8,6,4] => 0110011 => [1,2,2,2] => 211
[1,7,6,4,3,8,2,5] => 0111010 => [1,3,1,1,1] => 219
[3,7,2,4,8,6,5,1] => 0100111 => [1,1,2,3] => 145
[3,4,2,8,7,6,1,5] => 0101110 => [1,1,1,3,1] => 219
[5,1,4,3,2,7,8,6] => 1011001 => [1,1,2,2,1] => 295
[3,7,8,5,2,4,1,6] => 0011010 => [2,2,1,1,1] => 255
[3,7,6,2,4,1,8,5] => 0110101 => [1,2,1,1,1,1] => 345
[1,6,8,2,5,7,4,3] => 0010011 => [2,1,2,2] => 180
[6,7,2,5,8,4,3,1] => 0100111 => [1,1,2,3] => 145
[5,2,7,8,4,3,1,6] => 1001110 => [1,2,3,1] => 185
[5,3,1,7,8,4,2,6] => 1100110 => [2,2,2,1] => 211
[2,7,6,4,1,3,8,5] => 0111001 => [1,3,2,1] => 185
[4,1,7,6,3,2,8,5] => 1011101 => [1,1,3,1,1] => 233
[8,4,2,7,6,3,1,5] => 1101110 => [2,1,3,1] => 157
[6,3,1,7,5,2,8,4] => 1101101 => [2,1,2,1,1] => 252
[6,2,7,5,3,1,8,4] => 1011101 => [1,1,3,1,1] => 233
[1,5,8,2,7,4,6,3] => 0010101 => [2,1,1,1,1,1] => 297
[5,7,2,8,4,6,3,1] => 0101011 => [1,1,1,1,1,2] => 297
[5,7,3,1,8,4,6,2] => 0110101 => [1,2,1,1,1,1] => 345
[8,4,7,3,1,6,5,2] => 1011011 => [1,1,2,1,2] => 252
[2,6,8,5,7,4,1,3] => 0010110 => [2,1,1,2,1] => 241
[6,5,2,1,7,4,8,3] => 1110101 => [3,1,1,1,1] => 165
[5,7,4,6,2,1,8,3] => 0101101 => [1,1,1,2,1,1] => 359
[5,6,4,8,3,7,2,1] => 0101011 => [1,1,1,1,1,2] => 297
[6,7,1,8,3,4,2,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[7,8,3,5,1,4,2,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,6,2,7,1,8,3,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[6,7,2,4,3,8,1,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,4,3,8,6,7,1,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,8,2,7,4,5,3,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,5,4,8,3,6,1,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,3,1,8,5,6,4,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,8,5,6,4,7,1,2] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,7,3,6,4,8,1,2] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,7,2,3,1,6,4,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,7,2,4,3,6,1,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,6,2,7,1,5,3,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,7,1,6,2,5,3,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,7,1,5,3,6,2,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,6,3,5,1,7,2,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[6,7,3,5,1,4,2,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,6,3,7,1,4,2,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,7,1,6,3,4,2,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,8,5,6,3,4,2,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,8,5,6,4,7,2,3] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,7,1,6,4,8,2,3] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,6,5,8,1,7,2,3] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,7,1,4,2,8,5,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,5,1,4,2,8,6,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,6,5,8,3,7,1,2] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,6,5,8,2,3,1,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,4,2,6,5,8,1,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,5,4,6,2,8,1,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,8,3,5,4,7,2,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,4,2,7,1,8,5,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,7,2,3,1,8,5,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,4,3,8,1,7,5,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,5,3,8,4,7,1,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,6,3,8,1,7,4,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,7,1,8,3,6,4,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,2,8,7,4,6,3,5] => 0011010 => [2,2,1,1,1] => 255
[4,5,1,8,7,6,2,3] => 0101110 => [1,1,1,3,1] => 219
[4,1,5,8,7,6,2,3] => 1001110 => [1,2,3,1] => 185
[4,5,7,8,2,6,3,1] => 0001011 => [3,1,1,2] => 117
[5,2,6,8,3,7,4,1] => 1001011 => [1,2,1,1,2] => 241
[3,1,6,8,7,4,5,2] => 1001101 => [1,2,2,1,1] => 295
[6,1,4,8,7,2,5,3] => 1001101 => [1,2,2,1,1] => 295
[6,1,8,4,7,3,5,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,6,7,8,2,5,3,1] => 0001011 => [3,1,1,2] => 117
[7,4,5,2,8,6,3,1] => 1010111 => [1,1,1,1,3] => 165
[7,5,8,4,2,6,3,1] => 1011011 => [1,1,2,1,2] => 252
[6,8,4,5,2,7,3,1] => 0101011 => [1,1,1,1,1,2] => 297
[6,8,2,5,3,7,4,1] => 0101011 => [1,1,1,1,1,2] => 297
[6,3,8,4,2,7,5,1] => 1011011 => [1,1,2,1,2] => 252
[7,2,5,3,8,6,4,1] => 1010111 => [1,1,1,1,3] => 165
[3,4,7,5,8,6,2,1] => 0010111 => [2,1,1,3] => 117
[3,6,7,4,8,5,2,1] => 0010111 => [2,1,1,3] => 117
[6,7,4,2,8,5,3,1] => 0110111 => [1,2,1,3] => 137
[4,7,5,2,8,6,3,1] => 0110111 => [1,2,1,3] => 137
[2,7,5,3,8,6,4,1] => 0110111 => [1,2,1,3] => 137
[5,6,2,8,3,7,4,1] => 0101011 => [1,1,1,1,1,2] => 297
[1,5,8,2,7,3,6,4] => 0010101 => [2,1,1,1,1,1] => 297
[5,8,4,7,2,3,6,1] => 0101001 => [1,1,1,1,2,1] => 345
[6,7,4,8,1,5,3,2] => 0101011 => [1,1,1,1,1,2] => 297
[1,7,4,8,6,2,5,3] => 0101101 => [1,1,1,2,1,1] => 359
[6,8,5,3,7,2,4,1] => 0110101 => [1,2,1,1,1,1] => 345
[6,8,5,2,3,7,4,1] => 0110011 => [1,2,2,2] => 211
[7,5,3,8,2,6,4,1] => 1101011 => [2,1,1,1,2] => 207
[7,5,2,3,8,6,4,1] => 1100111 => [2,2,3] => 105
[3,7,4,5,8,6,2,1] => 0100111 => [1,1,2,3] => 145
[6,7,3,4,8,5,2,1] => 0100111 => [1,1,2,3] => 145
[3,6,4,7,8,5,2,1] => 0100111 => [1,1,2,3] => 145
[6,4,2,7,8,5,3,1] => 1100111 => [2,2,3] => 105
[7,4,2,5,8,6,3,1] => 1100111 => [2,2,3] => 105
[6,8,4,2,5,7,3,1] => 0110011 => [1,2,2,2] => 211
[7,5,8,3,4,6,2,1] => 1010011 => [1,1,1,2,2] => 255
[7,4,5,8,1,6,3,2] => 1001011 => [1,2,1,1,2] => 241
[6,3,4,7,8,5,2,1] => 1000111 => [1,3,3] => 95
[7,8,2,3,4,5,6,9,1] => 01000001 => [1,1,5,1] => 170
[6,1,7,3,4,5,8,2] => 1010001 => [1,1,1,3,1] => 219
[5,7,2,3,4,1,8,6] => 0100101 => [1,1,2,1,1,1] => 359
[2,7,1,8,4,5,6,3] => 0101001 => [1,1,1,1,2,1] => 345
[2,6,8,3,4,5,1,7] => 0010010 => [2,1,2,1,1] => 252
[2,8,9,3,4,5,6,7,1] => 00100001 => [2,1,4,1] => 303
[8,9,2,3,4,5,6,7,10,1] => 010000001 => [1,1,6,1] => 254
[7,1,8,3,4,5,6,9,2] => 10100001 => [1,1,1,4,1] => 410
[6,8,2,3,4,5,1,9,7] => 01000101 => [1,1,3,1,1,1] => 842
[6,1,2,7,4,5,8,3] => 1001001 => [1,2,1,2,1] => 281
[4,7,2,3,1,5,8,6] => 0101001 => [1,1,1,1,2,1] => 345
[2,7,1,3,8,5,6,4] => 0100101 => [1,1,2,1,1,1] => 359
[2,6,7,8,4,5,3,1] => 0001011 => [3,1,1,2] => 117
[2,8,1,9,4,5,6,7,3] => 01010001 => [1,1,1,1,3,1] => 770
[2,5,8,3,4,1,6,7] => 0010100 => [2,1,1,1,2] => 207
[2,7,9,3,4,5,6,1,8] => 00100010 => [2,1,3,1,1] => 609
[2,9,10,3,4,5,6,7,8,1] => 001000001 => [2,1,5,1] => 534
[8,1,9,3,4,5,6,7,10,2] => 101000001 => [1,1,1,5,1] => 704
[7,9,2,3,4,5,6,1,10,8] => 010000101 => [1,1,4,1,1,1] => 1754
[7,1,2,8,4,5,6,9,3] => 10010001 => [1,2,1,3,1] => 646
[6,7,8,3,4,5,2,9,1] => 00100101 => [2,1,2,1,1,1] => 875
[5,8,2,3,4,1,6,9,7] => 01001001 => [1,1,2,1,2,1] => 1006
[5,6,2,7,4,3,8,1] => 0101101 => [1,1,1,2,1,1] => 359
[4,6,7,3,2,5,8,1] => 0011001 => [2,2,2,1] => 211
[2,6,7,3,8,5,4,1] => 0010111 => [2,1,1,3] => 117
[2,8,1,3,9,5,6,7,4] => 01001001 => [1,1,2,1,2,1] => 1006
[2,6,1,8,4,5,3,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,5,7,8,4,3,6,1] => 0001101 => [3,2,1,1] => 145
[2,7,8,9,4,5,6,3,1] => 00010011 => [3,1,2,2] => 365
[2,9,1,10,4,5,6,7,8,3] => 010100001 => [1,1,1,1,4,1] => 1529
[2,6,9,3,4,5,1,7,8] => 00100100 => [2,1,2,1,2] => 623
[2,8,10,3,4,5,6,7,1,9] => 001000010 => [2,1,4,1,1] => 1304
[3,6,8,4,5,7,1,2] => 0010010 => [2,1,2,1,1] => 252
[1,6,8,4,7,2,3,5] => 0010100 => [2,1,1,1,2] => 207
[1,4,5,7,8,2,6,3] => 0000101 => [4,1,1,1] => 75
[3,4,5,7,8,6,1,2] => 0000110 => [4,2,1] => 65
[3,4,5,7,6,8,1,2] => 0001010 => [3,1,1,1,1] => 165
[3,6,7,4,8,5,1,2] => 0010110 => [2,1,1,2,1] => 241
[3,4,5,6,8,7,1,2] => 0000110 => [4,2,1] => 65
[1,4,5,8,7,2,3,6] => 0001100 => [3,2,2] => 105
[1,2,5,8,3,6,4,7] => 0001010 => [3,1,1,1,1] => 165
[1,4,5,8,6,2,3,7] => 0001100 => [3,2,2] => 105
[7,8,1,4,6,2,3,5] => 0100100 => [1,1,2,1,2] => 252
[1,6,7,4,8,2,5,3] => 0010101 => [2,1,1,1,1,1] => 297
[1,4,5,6,8,2,7,3] => 0000101 => [4,1,1,1] => 75
[1,4,5,8,6,2,7,3] => 0001101 => [3,2,1,1] => 145
[1,2,5,8,3,4,7,6] => 0001001 => [3,1,2,1] => 137
[1,6,7,2,3,5,8,4] => 0010001 => [2,1,3,1] => 157
[7,8,1,2,3,5,4,6] => 0100010 => [1,1,3,1,1] => 233
[1,6,7,2,3,5,4,8] => 0010010 => [2,1,2,1,1] => 252
[1,4,5,7,6,2,3,8] => 0001100 => [3,2,2] => 105
[1,2,5,7,3,6,4,8] => 0001010 => [3,1,1,1,1] => 165
[1,2,5,7,3,6,8,4] => 0001001 => [3,1,2,1] => 137
[1,6,8,2,3,5,7,4] => 0010001 => [2,1,3,1] => 157
[1,6,8,4,5,2,3,7] => 0010100 => [2,1,1,1,2] => 207
[1,6,8,4,5,2,7,3] => 0010101 => [2,1,1,1,1,1] => 297
[1,6,8,2,3,4,7,5] => 0010001 => [2,1,3,1] => 157
[1,6,8,2,3,7,4,5] => 0010010 => [2,1,2,1,1] => 252
[1,4,5,7,6,2,8,3] => 0001101 => [3,2,1,1] => 145
[7,8,1,4,5,2,6,3] => 0100101 => [1,1,2,1,1,1] => 359
[7,8,1,2,3,4,6,5] => 0100001 => [1,1,4,1] => 107
[7,8,1,2,3,6,4,5] => 0100010 => [1,1,3,1,1] => 233
[1,6,7,2,3,8,5,4] => 0010011 => [2,1,2,2] => 180
[1,2,5,6,3,8,7,4] => 0001011 => [3,1,1,2] => 117
[4,2,1,6,5,3,8,7] => 1101101 => [2,1,2,1,1] => 252
[8,2,4,3,1,6,5,7] => 1011010 => [1,1,2,1,1,1] => 359
[6,2,4,3,1,8,7,5] => 1011011 => [1,1,2,1,2] => 252
[4,2,6,3,5,1,8,7] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,6,2,1,5,8,7,3] => 0110011 => [1,2,2,2] => 211
[4,6,5,2,1,8,7,3] => 0111011 => [1,3,1,2] => 157
[2,1,6,4,3,8,7,5] => 1011011 => [1,1,2,1,2] => 252
[4,8,2,1,6,7,3,5] => 0110010 => [1,2,2,1,1] => 295
[6,8,2,1,4,3,7,5] => 0110101 => [1,2,1,1,1,1] => 345
[8,6,2,4,3,1,5,7] => 1101100 => [2,1,2,2] => 180
[6,8,2,4,3,1,7,5] => 0101101 => [1,1,1,2,1,1] => 359
[6,8,7,2,4,3,1,5] => 0110110 => [1,2,1,2,1] => 281
[2,1,8,4,6,5,3,7] => 1010110 => [1,1,1,1,2,1] => 345
[2,1,6,4,8,5,7,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,6,5,2,8,3,7,1] => 0110101 => [1,2,1,1,1,1] => 345
[2,6,4,5,8,3,7,1] => 0100101 => [1,1,2,1,1,1] => 359
[6,4,2,8,3,5,7,1] => 1101001 => [2,1,1,2,1] => 241
[8,4,2,6,3,5,1,7] => 1101010 => [2,1,1,1,1,1] => 297
[6,2,4,8,5,3,7,1] => 1001101 => [1,2,2,1,1] => 295
[4,2,6,3,5,8,7,1] => 1010011 => [1,1,1,2,2] => 255
[4,2,6,3,8,7,5,1] => 1010111 => [1,1,1,1,3] => 165
[6,2,4,3,8,5,7,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,2,4,3,6,5,1,7] => 1010110 => [1,1,1,1,2,1] => 345
[8,2,1,4,6,5,3,7] => 1100110 => [2,2,2,1] => 211
[6,2,1,4,8,5,7,3] => 1100101 => [2,2,1,1,1] => 255
[6,2,1,8,7,4,3,5] => 1101110 => [2,1,3,1] => 157
[6,2,1,8,4,3,7,5] => 1101101 => [2,1,2,1,1] => 252
[8,4,6,5,2,1,3,7] => 1011100 => [1,1,3,2] => 171
[6,4,8,5,2,1,7,3] => 1011101 => [1,1,3,1,1] => 233
[6,4,8,5,7,2,1,3] => 1010110 => [1,1,1,1,2,1] => 345
[4,6,8,7,5,2,1,3] => 0011110 => [2,4,1] => 81
[2,1,4,8,6,7,3,5] => 1001010 => [1,2,1,1,1,1] => 345
[2,6,8,7,4,5,1,3] => 0011010 => [2,2,1,1,1] => 255
[2,4,8,6,7,5,1,3] => 0010110 => [2,1,1,2,1] => 241
[4,2,8,6,5,7,1,3] => 1011010 => [1,1,2,1,1,1] => 359
[8,2,6,4,5,1,3,7] => 1010100 => [1,1,1,1,1,2] => 297
[8,4,6,2,1,5,3,7] => 1011010 => [1,1,2,1,1,1] => 359
[4,6,8,7,2,1,5,3] => 0011101 => [2,3,1,1] => 171
[4,6,5,8,2,1,7,3] => 0101101 => [1,1,1,2,1,1] => 359
[2,1,6,8,4,3,7,5] => 1001101 => [1,2,2,1,1] => 295
[6,8,7,4,2,1,3,5] => 0111100 => [1,4,2] => 81
[2,8,6,4,7,1,3,5] => 0110100 => [1,2,1,1,2] => 241
[4,8,6,2,1,7,3,5] => 0111010 => [1,3,1,1,1] => 219
[2,8,5,3,1,4,6,7] => 0111000 => [1,3,3] => 95
[2,7,4,8,3,5,1,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,7,4,8,3,5,6,1] => 0101001 => [1,1,1,1,2,1] => 345
[7,2,8,4,3,5,1,6] => 1011010 => [1,1,2,1,1,1] => 359
[8,4,2,1,5,3,6,7] => 1110100 => [3,1,1,2] => 117
[8,5,1,4,2,3,6,7] => 1101000 => [2,1,1,3] => 117
[8,4,1,5,3,2,6,7] => 1101100 => [2,1,2,2] => 180
[6,7,3,8,4,2,5,1] => 0101101 => [1,1,1,2,1,1] => 359
[6,7,3,8,4,2,1,5] => 0101110 => [1,1,1,3,1] => 219
[7,1,8,4,3,5,2,6] => 1011010 => [1,1,2,1,1,1] => 359
[1,7,8,4,3,5,2,6] => 0011010 => [2,2,1,1,1] => 255
[7,1,4,8,3,5,2,6] => 1001010 => [1,2,1,1,1,1] => 345
[7,4,8,1,5,6,2,3] => 1010010 => [1,1,1,2,1,1] => 359
[7,1,8,4,3,5,6,2] => 1011001 => [1,1,2,2,1] => 295
[6,7,3,1,8,4,5,2] => 0110101 => [1,2,1,1,1,1] => 345
[6,7,3,8,4,5,2,1] => 0101011 => [1,1,1,1,1,2] => 297
[6,7,1,4,8,3,5,2] => 0100101 => [1,1,2,1,1,1] => 359
[6,7,4,1,3,8,2,5] => 0110010 => [1,2,2,1,1] => 295
[1,6,7,8,4,3,2,5] => 0001110 => [3,3,1] => 95
[7,2,1,8,4,5,3,6] => 1101010 => [2,1,1,1,1,1] => 297
[6,2,7,1,8,4,3,5] => 1010110 => [1,1,1,1,2,1] => 345
[6,2,7,8,4,3,1,5] => 1001110 => [1,2,3,1] => 185
[6,2,7,8,4,3,5,1] => 1001101 => [1,2,2,1,1] => 295
[2,6,7,4,8,3,5,1] => 0010101 => [2,1,1,1,1,1] => 297
[2,6,7,4,8,3,1,5] => 0010110 => [2,1,1,2,1] => 241
[7,8,1,3,6,2,4,5] => 0100100 => [1,1,2,1,2] => 252
[1,2,7,8,6,3,4,5] => 0001100 => [3,2,2] => 105
[2,6,7,1,8,5,3,4] => 0010110 => [2,1,1,2,1] => 241
[2,6,7,8,5,3,1,4] => 0001110 => [3,3,1] => 95
[2,6,7,8,5,3,4,1] => 0001101 => [3,2,1,1] => 145
[6,2,7,8,4,5,3,1] => 1001011 => [1,2,1,1,2] => 241
[7,2,1,8,4,5,6,3] => 1101001 => [2,1,1,2,1] => 241
[1,7,2,8,4,5,6,3] => 0101001 => [1,1,1,1,2,1] => 345
[3,7,8,1,5,6,2,4] => 0010010 => [2,1,2,1,1] => 252
[6,3,7,8,1,5,2,4] => 1001010 => [1,2,1,1,1,1] => 345
[6,7,1,2,8,5,3,4] => 0100110 => [1,1,2,2,1] => 295
[1,6,7,8,4,2,5,3] => 0001101 => [3,2,1,1] => 145
[3,1,2,7,6,5,8,4] => 1001101 => [1,2,2,1,1] => 295
[6,1,2,4,7,3,8,5] => 1000101 => [1,3,1,1,1] => 219
[1,7,5,3,6,4,8,2] => 0110101 => [1,2,1,1,1,1] => 345
[5,1,2,6,7,4,8,3] => 1000101 => [1,3,1,1,1] => 219
[4,1,5,7,3,2,6,8] => 1001100 => [1,2,2,2] => 211
[4,6,1,7,3,2,5,8] => 0101100 => [1,1,1,2,2] => 255
[4,6,1,8,3,2,5,7] => 0101100 => [1,1,1,2,2] => 255
[4,7,1,8,3,5,2,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,1,7,8,6,2,3,5] => 1001100 => [1,2,2,2] => 211
[1,6,5,7,8,3,4,2] => 0100101 => [1,1,2,1,1,1] => 359
[1,6,5,8,7,3,4,2] => 0101101 => [1,1,1,2,1,1] => 359
[4,1,8,7,6,2,3,5] => 1011100 => [1,1,3,2] => 171
[4,8,1,7,3,5,2,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,8,1,6,3,2,5,7] => 0101100 => [1,1,1,2,2] => 255
[4,7,1,6,3,2,5,8] => 0101100 => [1,1,1,2,2] => 255
[6,1,2,3,7,5,4,8] => 1000110 => [1,3,2,1] => 185
[6,8,1,5,3,7,2,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[8,7,5,2,4,1,6,3] => 1110101 => [3,1,1,1,1] => 165
[1,5,7,3,4,8,6,2] => 0010011 => [2,1,2,2] => 180
[1,5,8,3,4,7,6,2] => 0010011 => [2,1,2,2] => 180
[7,8,5,2,4,1,6,3] => 0110101 => [1,2,1,1,1,1] => 345
[7,1,2,3,5,6,4,8] => 1000010 => [1,4,1,1] => 107
[8,1,2,3,5,6,4,7] => 1000010 => [1,4,1,1] => 107
[8,1,2,3,5,4,7,6] => 1000101 => [1,3,1,1,1] => 219
[7,1,8,4,6,3,2,5] => 1010110 => [1,1,1,1,2,1] => 345
[6,8,2,4,3,1,5,7] => 0101100 => [1,1,1,2,2] => 255
[6,7,2,4,3,1,5,8] => 0101100 => [1,1,1,2,2] => 255
[3,8,1,2,4,5,7,6] => 0100001 => [1,1,4,1] => 107
[3,7,1,8,6,4,2,5] => 0101110 => [1,1,1,3,1] => 219
[1,6,4,3,7,5,8,2] => 0110101 => [1,2,1,1,1,1] => 345
[3,1,2,6,7,5,8,4] => 1000101 => [1,3,1,1,1] => 219
[3,8,1,7,6,4,2,5] => 0101110 => [1,1,1,3,1] => 219
[7,6,2,4,3,1,5,8] => 1101100 => [2,1,2,2] => 180
[8,7,2,4,3,5,1,6] => 1101010 => [2,1,1,1,1,1] => 297
[8,1,7,4,6,3,2,5] => 1010110 => [1,1,1,1,2,1] => 345
[8,1,7,6,5,3,2,4] => 1011110 => [1,1,4,1] => 107
[1,5,7,3,4,6,8,2] => 0010001 => [2,1,3,1] => 157
[8,7,2,5,3,6,1,4] => 1101010 => [2,1,1,1,1,1] => 297
[7,1,2,3,5,4,8,6] => 1000101 => [1,3,1,1,1] => 219
[6,1,2,3,5,8,4,7] => 1000010 => [1,4,1,1] => 107
[6,1,2,3,5,7,4,8] => 1000010 => [1,4,1,1] => 107
[5,1,2,3,7,6,4,8] => 1000110 => [1,3,2,1] => 185
[5,1,2,3,8,6,4,7] => 1000110 => [1,3,2,1] => 185
[1,5,6,3,4,7,8,2] => 0010001 => [2,1,3,1] => 157
[8,6,5,2,4,7,1,3] => 1110010 => [3,2,1,1] => 145
[7,6,2,5,3,1,8,4] => 1101101 => [2,1,2,1,1] => 252
[7,4,5,2,3,8,6,1] => 1010011 => [1,1,1,2,2] => 255
[8,2,3,7,4,5,1,6] => 1001010 => [1,2,1,1,1,1] => 345
[8,4,7,3,2,5,1,6] => 1011010 => [1,1,2,1,1,1] => 359
[5,4,6,3,1,2,8,7] => 1011001 => [1,1,2,2,1] => 295
[4,6,2,3,1,5,8,7] => 0101001 => [1,1,1,1,2,1] => 345
[7,2,3,4,5,8,6,1] => 1000011 => [1,4,2] => 81
[8,2,3,4,5,7,1,6] => 1000010 => [1,4,1,1] => 107
[7,3,4,6,8,5,1,2] => 1000110 => [1,3,2,1] => 185
[4,7,3,2,8,6,1,5] => 0110110 => [1,2,1,2,1] => 281
[3,7,4,5,1,8,6,2] => 0101011 => [1,1,1,1,1,2] => 297
[3,8,2,6,7,4,5,1] => 0100101 => [1,1,2,1,1,1] => 359
[4,8,1,5,6,7,3,2] => 0100011 => [1,1,3,2] => 171
[5,8,2,4,6,7,1,3] => 0100010 => [1,1,3,1,1] => 233
[6,8,1,3,4,2,7,5] => 0100101 => [1,1,2,1,1,1] => 359
[5,8,2,4,3,1,7,6] => 0101101 => [1,1,1,2,1,1] => 359
[2,1,7,6,8,5,3,4] => 1010110 => [1,1,1,1,2,1] => 345
[3,7,6,1,8,5,2,4] => 0110110 => [1,2,1,2,1] => 281
[4,7,2,3,8,5,1,6] => 0100110 => [1,1,2,2,1] => 295
[7,1,3,6,4,8,5,2] => 1001011 => [1,2,1,1,2] => 241
[7,6,1,4,8,5,2,3] => 1100110 => [2,2,2,1] => 211
[6,2,3,7,8,5,4,1] => 1000111 => [1,3,3] => 95
[6,2,3,8,4,5,1,7] => 1001010 => [1,2,1,1,1,1] => 345
[7,2,3,6,8,4,1,5] => 1000110 => [1,3,2,1] => 185
[8,2,3,5,7,1,4,6] => 1000100 => [1,3,1,2] => 157
[6,4,8,3,5,1,7,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,4,8,3,6,7,1,2] => 1010010 => [1,1,1,2,1,1] => 359
[3,5,1,8,4,6,7,2] => 0101001 => [1,1,1,1,2,1] => 345
[3,6,1,8,4,5,2,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,6,8,3,5,2,7,1] => 0010101 => [2,1,1,1,1,1] => 297
[5,7,8,3,2,4,1,6] => 0011010 => [2,2,1,1,1] => 255
[4,8,2,3,5,6,1,7] => 0100010 => [1,1,3,1,1] => 233
[6,8,2,3,1,4,5,7] => 0101000 => [1,1,1,1,3] => 165
[5,2,7,4,8,3,1,6] => 1010110 => [1,1,1,1,2,1] => 345
[3,7,8,2,1,4,6,5] => 0011001 => [2,2,2,1] => 211
[3,7,5,2,8,4,1,6] => 0110110 => [1,2,1,2,1] => 281
[6,3,2,4,1,8,7,5] => 1101011 => [2,1,1,1,2] => 207
[7,2,3,4,8,5,1,6] => 1000110 => [1,3,2,1] => 185
[5,7,3,1,4,2,6,8] => 0110100 => [1,2,1,1,2] => 241
[3,7,4,1,8,2,5,6] => 0110100 => [1,2,1,1,2] => 241
[6,3,7,4,8,1,2,5] => 1010100 => [1,1,1,1,1,2] => 297
[8,3,7,4,2,6,1,5] => 1011010 => [1,1,2,1,1,1] => 359
[3,7,4,1,5,6,2,8] => 0110010 => [1,2,2,1,1] => 295
[1,8,3,2,4,5,7,6] => 0110001 => [1,2,3,1] => 185
[8,4,1,6,3,7,5,2] => 1101011 => [2,1,1,1,2] => 207
[8,7,4,2,1,6,3,5] => 1111010 => [4,1,1,1] => 75
[8,3,5,2,7,4,1,6] => 1010110 => [1,1,1,1,2,1] => 345
[1,5,3,8,7,6,4,2] => 0101111 => [1,1,1,4] => 75
[7,2,4,8,1,3,6,5] => 1001001 => [1,2,1,2,1] => 281
[1,2,8,7,5,6,3,4] => 0011010 => [2,2,1,1,1] => 255
[3,1,8,6,7,5,2,4] => 1010110 => [1,1,1,1,2,1] => 345
[1,4,8,6,5,7,2,3] => 0011010 => [2,2,1,1,1] => 255
[1,6,5,4,8,2,3,7] => 0110100 => [1,2,1,1,2] => 241
[5,1,6,8,3,4,2,7] => 1001010 => [1,2,1,1,1,1] => 345
[6,2,5,1,7,4,3,8] => 1010110 => [1,1,1,1,2,1] => 345
[5,2,1,8,7,4,3,6] => 1101110 => [2,1,3,1] => 157
[5,2,6,3,8,1,4,7] => 1010100 => [1,1,1,1,1,2] => 297
[5,2,8,3,4,6,1,7] => 1010010 => [1,1,1,2,1,1] => 359
[6,2,8,4,3,1,7,5] => 1011101 => [1,1,3,1,1] => 233
[7,2,8,1,3,6,5,4] => 1010011 => [1,1,1,2,2] => 255
[7,3,8,1,4,6,2,5] => 1010010 => [1,1,1,2,1,1] => 359
[1,7,8,5,4,6,3,2] => 0011011 => [2,2,1,2] => 180
[1,5,8,4,6,3,7,2] => 0010101 => [2,1,1,1,1,1] => 297
[5,3,8,4,1,2,7,6] => 1011001 => [1,1,2,2,1] => 295
[5,8,4,3,6,2,1,7] => 0110110 => [1,2,1,2,1] => 281
[1,8,3,6,5,2,7,4] => 0101101 => [1,1,1,2,1,1] => 359
[1,8,2,4,7,6,5,3] => 0100111 => [1,1,2,3] => 145
[3,8,1,4,6,7,5,2] => 0100011 => [1,1,3,2] => 171
[3,8,2,5,1,7,6,4] => 0101011 => [1,1,1,1,1,2] => 297
[4,3,8,2,5,1,6,7] => 1010100 => [1,1,1,1,1,2] => 297
[8,2,4,3,5,1,7,6] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,2,1,4,6,5,7,3] => 1100101 => [2,2,1,1,1] => 255
[8,1,3,4,5,7,6,2] => 1000011 => [1,4,2] => 81
[6,1,5,2,4,7,8,3] => 1010001 => [1,1,1,3,1] => 219
[4,1,8,5,2,7,6,3] => 1011011 => [1,1,2,1,2] => 252
[4,8,5,1,3,6,2,7] => 0110010 => [1,2,2,1,1] => 295
[3,6,1,5,7,2,8,4] => 0100101 => [1,1,2,1,1,1] => 359
[6,3,1,2,8,5,7,4] => 1100101 => [2,2,1,1,1] => 255
[4,1,8,2,3,7,5,6] => 1010010 => [1,1,1,2,1,1] => 359
[5,3,8,7,2,1,4,6] => 1011100 => [1,1,3,2] => 171
[6,7,3,5,1,4,8,2] => 0101001 => [1,1,1,1,2,1] => 345
[6,4,7,5,8,2,3,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,7,8,4,2,6,3,1] => 0011011 => [2,2,1,2] => 180
[5,7,4,1,6,8,3,2] => 0110011 => [1,2,2,2] => 211
[5,8,4,6,1,7,3,2] => 0101011 => [1,1,1,1,1,2] => 297
[5,6,1,4,7,8,3,2] => 0100011 => [1,1,3,2] => 171
[5,6,3,7,4,8,2,1] => 0101011 => [1,1,1,1,1,2] => 297
[5,3,6,7,4,8,2,1] => 1001011 => [1,2,1,1,2] => 241
[5,3,2,8,6,7,4,1] => 1101011 => [2,1,1,1,2] => 207
[5,4,8,2,6,7,3,1] => 1010011 => [1,1,1,2,2] => 255
[5,4,8,6,2,7,3,1] => 1011011 => [1,1,2,1,2] => 252
[7,4,8,5,6,2,1,3] => 1010110 => [1,1,1,1,2,1] => 345
[5,6,3,8,4,7,2,1] => 0101011 => [1,1,1,1,1,2] => 297
[5,6,3,8,2,7,4,1] => 0101011 => [1,1,1,1,1,2] => 297
[4,3,7,2,8,6,5,1] => 1010111 => [1,1,1,1,3] => 165
[6,7,3,8,5,2,4,1] => 0101101 => [1,1,1,2,1,1] => 359
[6,2,7,5,1,4,8,3] => 1011001 => [1,1,2,2,1] => 295
[3,5,7,8,4,6,2,1] => 0001011 => [3,1,1,2] => 117
[5,3,7,8,4,6,2,1] => 1001011 => [1,2,1,1,2] => 241
[5,7,8,2,4,6,3,1] => 0010011 => [2,1,2,2] => 180
[2,5,8,4,3,7,6,1] => 0011011 => [2,2,1,2] => 180
[3,7,4,8,6,2,1,5] => 0101110 => [1,1,1,3,1] => 219
[3,6,4,8,7,2,5,1] => 0101101 => [1,1,1,2,1,1] => 359
[3,5,4,8,2,7,6,1] => 0101011 => [1,1,1,1,1,2] => 297
[4,5,7,3,8,6,2,1] => 0010111 => [2,1,1,3] => 117
[3,5,6,8,4,7,2,1] => 0001011 => [3,1,1,2] => 117
[6,3,1,8,7,5,4,2] => 1101111 => [2,1,4] => 55
[5,4,8,1,7,6,3,2] => 1010111 => [1,1,1,1,3] => 165
[5,8,4,1,7,6,3,2] => 0110111 => [1,2,1,3] => 137
[7,5,4,1,8,6,3,2] => 1110111 => [3,1,3] => 69
[8,5,4,1,7,6,3,2] => 1110111 => [3,1,3] => 69
[1,8,2,5,6,3,4,7] => 0100100 => [1,1,2,1,2] => 252
[7,2,8,4,5,1,3,6] => 1010100 => [1,1,1,1,1,2] => 297
[1,3,7,5,6,2,4,8] => 0010100 => [2,1,1,1,2] => 207
[1,6,7,4,3,5,2,8] => 0011010 => [2,2,1,1,1] => 255
[1,8,5,2,3,7,4,6] => 0110010 => [1,2,2,1,1] => 295
[1,8,2,5,3,6,7,4] => 0101001 => [1,1,1,1,2,1] => 345
[2,6,8,4,3,5,7,1] => 0011001 => [2,2,2,1] => 211
[7,5,8,3,2,1,6,4] => 1011101 => [1,1,3,1,1] => 233
[7,2,8,4,1,5,6,3] => 1011001 => [1,1,2,2,1] => 295
[7,5,8,1,2,6,3,4] => 1010010 => [1,1,1,2,1,1] => 359
[1,6,7,4,3,2,8,5] => 0011101 => [2,3,1,1] => 171
[1,5,2,6,4,7,8,3] => 0101001 => [1,1,1,1,2,1] => 345
[1,5,4,6,2,3,7,8] => 0101000 => [1,1,1,1,3] => 165
[6,2,5,7,1,4,8,3] => 1001001 => [1,2,1,2,1] => 281
[6,5,4,3,8,1,7,2] => 1110101 => [3,1,1,1,1] => 165
[7,3,6,8,5,2,4,1] => 1001101 => [1,2,2,1,1] => 295
[2,7,8,3,6,5,1,4] => 0010110 => [2,1,1,2,1] => 241
[2,7,8,5,4,6,3,1] => 0011011 => [2,2,1,2] => 180
[2,6,5,8,3,4,1,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,6,5,7,3,4,1,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[6,2,5,7,4,1,3,8] => 1001100 => [1,2,2,2] => 211
[6,2,5,8,4,1,3,7] => 1001100 => [1,2,2,2] => 211
[2,7,8,4,6,1,3,5] => 0010100 => [2,1,1,1,2] => 207
[6,1,2,8,3,7,4,5] => 1001010 => [1,2,1,1,1,1] => 345
[6,1,2,8,5,4,7,3] => 1001101 => [1,2,2,1,1] => 295
[6,2,5,7,8,1,3,4] => 1000100 => [1,3,1,2] => 157
[1,5,4,2,6,7,3,8] => 0110010 => [1,2,2,1,1] => 295
[2,6,5,7,3,8,1,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,6,2,7,5,8,4,3] => 0101011 => [1,1,1,1,1,2] => 297
[1,3,2,7,8,5,6,4] => 0100101 => [1,1,2,1,1,1] => 359
[1,6,2,4,8,7,3,5] => 0100110 => [1,1,2,2,1] => 295
[6,5,2,1,8,7,3,4] => 1110110 => [3,1,2,1] => 137
[2,6,5,3,7,8,4,1] => 0110011 => [1,2,2,2] => 211
[6,2,5,3,8,4,7,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,5,2,3,8,7,1,4] => 1100110 => [2,2,2,1] => 211
[5,4,1,2,3,8,6,7] => 1100010 => [2,3,1,1] => 171
[5,1,4,2,3,7,8,6] => 1010001 => [1,1,1,3,1] => 219
[1,5,4,2,6,3,8,7] => 0110101 => [1,2,1,1,1,1] => 345
[5,1,6,3,8,2,7,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[9,8,7,6,5,4,3,1,2,10] => 111111100 => [7,2] => 36
[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] => 157
[1,9,8,7,6,5,2,4,3] => 01111101 => [1,5,1,1] => 170
[1,10,9,8,7,6,5,4,2,3] => 011111110 => [1,7,1] => 65
[2,1,9,8,7,6,5,4,3] => 10111111 => [1,1,6] => 35
[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] => 83
[1,3,2,9,8,7,6,5,4] => 01011111 => [1,1,1,5] => 110
[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] => 125
[1,4,3,2,9,8,7,6,5] => 01101111 => [1,2,1,4] => 235
[2,1,4,3,9,8,7,6,5] => 10101111 => [1,1,1,1,4] => 275
[1,2,4,3,9,8,7,6,5] => 00101111 => [2,1,1,4] => 200
[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] => 332
[2,1,5,4,3,9,8,7,6] => 10110111 => [1,1,2,1,3] => 502
[1,2,5,4,3,9,8,7,6] => 00110111 => [2,2,1,3] => 365
[1,3,2,5,4,9,8,7,6] => 01010111 => [1,1,1,1,1,3] => 572
[1,2,3,5,4,9,8,7,6] => 00010111 => [3,1,1,3] => 242
[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] => 875
[1,2,3,6,5,4,9,8,7] => 00011011 => [3,2,1,2] => 371
[2,1,4,3,6,5,9,8,7] => 10101011 => [1,1,1,1,1,1,2] => 1001
[1,2,4,3,6,5,9,8,7] => 00101011 => [2,1,1,1,1,2] => 704
[1,2,3,4,6,5,9,8,7] => 00001011 => [4,1,1,2] => 200
[1,2,3,5,4,7,6,9,8] => 00010101 => [3,1,1,1,1,1] => 572
[1,2,3,4,5,7,6,9,8] => 00000101 => [5,1,1,1] => 110
[1,2,10,9,8,7,6,5,4,3] => 001111111 => [2,7] => 36
[3,2,1,10,9,8,7,6,5,4] => 110111111 => [2,1,6] => 119
[1,3,2,10,9,8,7,6,5,4] => 010111111 => [1,1,1,6] => 154
[1,2,3,10,9,8,7,6,5,4] => 000111111 => [3,6] => 84
[1,4,3,2,10,9,8,7,6,5] => 011011111 => [1,2,1,5] => 375
[1,2,4,3,10,9,8,7,6,5] => 001011111 => [2,1,1,5] => 319
[1,2,3,4,10,9,8,7,6,5] => 000011111 => [4,5] => 126
[1,5,4,3,2,10,9,8,7,6] => 011101111 => [1,3,1,4] => 626
[2,1,5,4,3,10,9,8,7,6] => 101101111 => [1,1,2,1,4] => 901
[1,2,5,4,3,10,9,8,7,6] => 001101111 => [2,2,1,4] => 666
[1,3,2,5,4,10,9,8,7,6] => 010101111 => [1,1,1,1,1,4] => 1001
[1,2,3,5,4,10,9,8,7,6] => 000101111 => [3,1,1,4] => 451
[1,2,6,5,4,3,10,9,8,7] => 001110111 => [2,3,1,3] => 998
[3,2,1,6,5,4,10,9,8,7] => 110110111 => [2,1,2,1,3] => 1304
[1,3,2,6,5,4,10,9,8,7] => 010110111 => [1,1,1,2,1,3] => 1806
[1,2,3,6,5,4,10,9,8,7] => 000110111 => [3,2,1,3] => 802
[1,2,4,3,6,5,10,9,8,7] => 001010111 => [2,1,1,1,1,3] => 1430
[1,2,3,4,6,5,10,9,8,7] => 000010111 => [4,1,1,3] => 451
[1,2,3,4,5,6,10,9,8,7] => 000000111 => [6,3] => 84
[1,4,3,2,7,6,5,10,9,8] => 011011011 => [1,2,1,2,1,2] => 2550
[2,1,4,3,7,6,5,10,9,8] => 101011011 => [1,1,1,1,2,1,2] => 3054
[1,2,4,3,7,6,5,10,9,8] => 001011011 => [2,1,1,2,1,2] => 2179
[1,2,3,4,7,6,5,10,9,8] => 000011011 => [4,2,1,2] => 681
[1,3,2,5,4,7,6,10,9,8] => 010101011 => [1,1,1,1,1,1,1,2] => 3432
[1,2,3,5,4,7,6,10,9,8] => 000101011 => [3,1,1,1,1,2] => 1430
[1,2,3,4,5,7,6,10,9,8] => 000001011 => [5,1,1,2] => 319
[1,2,3,4,5,6,7,10,9,8] => 000000011 => [7,2] => 36
[1,2,4,3,6,5,8,7,10,9] => 001010101 => [2,1,1,1,1,1,1,1] => 3432
[1,2,3,4,6,5,8,7,10,9] => 000010101 => [4,1,1,1,1,1] => 1001
[1,2,3,4,5,6,8,7,10,9] => 000000101 => [6,1,1,1] => 154
[5,2,7,4,1,6,3,8] => 1011010 => [1,1,2,1,1,1] => 359
[4,7,3,1,5,6,2,8] => 0110010 => [1,2,2,1,1] => 295
[5,8,3,4,1,6,7,2] => 0101001 => [1,1,1,1,2,1] => 345
[1,7,8,4,5,6,2,3] => 0010010 => [2,1,2,1,1] => 252
[1,5,8,4,2,6,7,3] => 0011001 => [2,2,2,1] => 211
[1,6,3,8,5,2,7,4] => 0101101 => [1,1,1,2,1,1] => 359
[6,2,3,7,5,1,4,8] => 1001100 => [1,2,2,2] => 211
[1,7,3,4,8,6,2,5] => 0100110 => [1,1,2,2,1] => 295
[8,7,3,2,1,6,5,4] => 1111011 => [4,1,2] => 55
[8,7,6,3,1,5,2,4] => 1111010 => [4,1,1,1] => 75
[8,5,1,7,2,3,4,6] => 1101000 => [2,1,1,3] => 117
[9,8,7,6,5,2,1,4,3] => 11111101 => [6,1,1] => 35
[9,8,7,3,2,1,6,5,4] => 11111011 => [5,1,2] => 83
[9,8,7,6,3,1,5,2,4] => 11111010 => [5,1,1,1] => 110
[9,4,3,2,1,8,7,6,5] => 11110111 => [4,1,3] => 125
[9,8,4,3,1,7,6,2,5] => 11110110 => [4,1,2,1] => 235
[9,8,7,2,1,4,3,6,5] => 11110101 => [4,1,1,1,1] => 275
[9,8,7,4,1,6,2,3,5] => 11110100 => [4,1,1,2] => 200
[5,4,3,1,9,8,7,2,6] => 11101110 => [3,1,3,1] => 332
[9,5,2,1,8,4,3,7,6] => 11101101 => [3,1,2,1,1] => 502
[9,8,3,1,5,2,7,4,6] => 11101010 => [3,1,1,1,1,1] => 572
[6,3,1,9,5,2,8,4,7] => 11011010 => [2,1,2,1,1,1] => 875
[6,5,1,9,8,2,3,4,7] => 11011000 => [2,1,2,3] => 371
[9,2,1,4,3,6,5,8,7] => 11010101 => [2,1,1,1,1,1,1] => 1001
[9,6,1,8,2,3,4,5,7] => 11010000 => [2,1,1,4] => 200
[5,1,7,2,9,3,4,6,8] => 10101000 => [1,1,1,1,1,3] => 572
[7,1,9,2,3,4,5,6,8] => 10100000 => [1,1,1,5] => 110
[10,9,8,7,6,5,2,1,4,3] => 111111101 => [7,1,1] => 44
[10,9,8,7,3,2,1,6,5,4] => 111111011 => [6,1,2] => 119
[10,9,8,7,6,3,1,5,2,4] => 111111010 => [6,1,1,1] => 154
[10,9,4,3,2,1,8,7,6,5] => 111110111 => [5,1,3] => 209
[10,9,8,4,3,1,7,6,2,5] => 111110110 => [5,1,2,1] => 375
[10,9,8,7,2,1,4,3,6,5] => 111110101 => [5,1,1,1,1] => 429
[10,9,8,7,4,1,6,2,3,5] => 111110100 => [5,1,1,2] => 319
[10,5,4,3,1,9,8,7,2,6] => 111101110 => [4,1,3,1] => 626
[10,9,5,2,1,8,4,3,7,6] => 111101101 => [4,1,2,1,1] => 901
[10,9,5,4,1,8,7,2,3,6] => 111101100 => [4,1,2,2] => 666
[10,9,8,3,1,5,2,7,4,6] => 111101010 => [4,1,1,1,1,1] => 1001
[6,5,2,1,10,9,4,3,8,7] => 111011101 => [3,1,3,1,1] => 1330
[6,5,4,1,10,9,8,2,3,7] => 111011100 => [3,1,3,2] => 998
[10,3,2,1,6,5,4,9,8,7] => 111011011 => [3,1,2,1,2] => 1304
[10,6,5,1,9,8,2,3,4,7] => 111011000 => [3,1,2,3] => 802
[10,9,2,1,4,3,6,5,8,7] => 111010101 => [3,1,1,1,1,1,1] => 2002
[10,9,6,1,8,2,3,4,5,7] => 111010000 => [3,1,1,4] => 451
[4,3,1,7,6,2,10,9,5,8] => 110110110 => [2,1,2,1,2,1] => 2550
[7,2,1,10,4,3,6,5,9,8] => 110110101 => [2,1,2,1,1,1,1] => 3054
[7,4,1,10,6,2,9,3,5,8] => 110110100 => [2,1,2,1,1,2] => 2179
[7,6,1,10,9,2,3,4,5,8] => 110110000 => [2,1,2,4] => 681
[10,5,1,7,2,9,3,4,6,8] => 110101000 => [2,1,1,1,1,3] => 1430
[10,7,1,9,2,3,4,5,6,8] => 110100000 => [2,1,1,5] => 319
[4,1,6,2,8,3,10,5,7,9] => 101010100 => [1,1,1,1,1,1,1,2] => 3432
[6,1,8,2,10,3,4,5,7,9] => 101010000 => [1,1,1,1,1,4] => 1001
[8,1,10,2,3,4,5,6,7,9] => 101000000 => [1,1,1,6] => 154
[2,4,8,5,3,7,1,6] => 0011010 => [2,2,1,1,1] => 255
[2,4,1,8,5,3,7,6] => 0101101 => [1,1,1,2,1,1] => 359
[2,4,8,6,3,1,7,5] => 0011101 => [2,3,1,1] => 171
[3,4,6,8,2,1,7,5] => 0001101 => [3,2,1,1] => 145
[3,4,1,5,8,2,7,6] => 0100101 => [1,1,2,1,1,1] => 359
[8,1,4,5,3,2,7,6] => 1001101 => [1,2,2,1,1] => 295
[3,4,1,5,2,8,7,6] => 0101011 => [1,1,1,1,1,2] => 297
[3,4,6,2,1,8,7,5] => 0011011 => [2,2,1,2] => 180
[3,5,6,2,1,7,8,4] => 0011001 => [2,2,2,1] => 211
[3,4,6,2,7,8,1,5] => 0010010 => [2,1,2,1,1] => 252
[8,1,4,6,3,7,2,5] => 1001010 => [1,2,1,1,1,1] => 345
[8,1,4,6,3,7,5,2] => 1001011 => [1,2,1,1,2] => 241
[3,5,6,2,1,7,4,8] => 0011010 => [2,2,1,1,1] => 255
[8,1,5,6,7,3,4,2] => 1000101 => [1,3,1,1,1] => 219
[8,1,5,6,7,3,2,4] => 1000110 => [1,3,2,1] => 185
[3,4,1,6,8,7,2,5] => 0100110 => [1,1,2,2,1] => 295
[3,5,6,1,8,7,2,4] => 0010110 => [2,1,1,2,1] => 241
[2,1,3,8,6,7,4,5] => 1001010 => [1,2,1,1,1,1] => 345
[8,1,3,2,6,7,5,4] => 1010011 => [1,1,1,2,2] => 255
[2,3,8,6,7,1,5,4] => 0010101 => [2,1,1,1,1,1] => 297
[2,4,1,8,6,7,5,3] => 0101011 => [1,1,1,1,1,2] => 297
[2,5,8,6,1,7,4,3] => 0011011 => [2,2,1,2] => 180
[3,5,6,1,8,7,4,2] => 0010111 => [2,1,1,3] => 117
[3,4,1,6,8,7,5,2] => 0100111 => [1,1,2,3] => 145
[3,4,6,8,7,1,5,2] => 0001101 => [3,2,1,1] => 145
[8,1,4,6,2,7,5,3] => 1001011 => [1,2,1,1,2] => 241
[3,5,1,6,7,8,4,2] => 0100011 => [1,1,3,2] => 171
[4,5,6,1,7,8,3,2] => 0010011 => [2,1,2,2] => 180
[4,5,6,1,7,3,8,2] => 0010101 => [2,1,1,1,1,1] => 297
[3,5,1,6,7,4,8,2] => 0100101 => [1,1,2,1,1,1] => 359
[8,1,5,6,7,4,2,3] => 1000110 => [1,3,2,1] => 185
[8,1,5,6,7,4,3,2] => 1000111 => [1,3,3] => 95
[3,5,1,6,7,4,2,8] => 0100110 => [1,1,2,2,1] => 295
[4,5,6,1,7,3,2,8] => 0010110 => [2,1,1,2,1] => 241
[6,5,8,7,4,3,1,2] => 1011110 => [1,1,4,1] => 107
[6,4,2,7,8,5,1,3] => 1100110 => [2,2,2,1] => 211
[6,1,4,8,7,5,2,3] => 1001110 => [1,2,3,1] => 185
[1,6,4,8,7,5,2,3] => 0101110 => [1,1,1,3,1] => 219
[1,8,6,2,4,7,3,5] => 0110010 => [1,2,2,1,1] => 295
[8,1,6,2,4,7,3,5] => 1010010 => [1,1,1,2,1,1] => 359
[7,6,2,1,4,8,3,5] => 1110010 => [3,2,1,1] => 145
[6,4,1,7,8,5,2,3] => 1100110 => [2,2,2,1] => 211
[7,6,1,2,4,8,3,5] => 1100010 => [2,3,1,1] => 171
[7,6,1,3,4,8,2,5] => 1100010 => [2,3,1,1] => 171
[8,1,6,3,4,7,2,5] => 1010010 => [1,1,1,2,1,1] => 359
[1,8,6,3,4,7,2,5] => 0110010 => [1,2,2,1,1] => 295
[1,7,2,5,4,8,3,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[7,1,2,5,4,8,3,6] => 1001010 => [1,2,1,1,1,1] => 345
[2,7,1,5,4,8,3,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,8,6,3,4,7,1,5] => 0110010 => [1,2,2,1,1] => 295
[2,8,6,1,4,7,3,5] => 0110010 => [1,2,2,1,1] => 295
[7,2,1,5,4,8,3,6] => 1101010 => [2,1,1,1,1,1] => 297
[1,2,7,5,4,8,3,6] => 0011010 => [2,2,1,1,1] => 255
[3,2,7,5,4,8,1,6] => 1011010 => [1,1,2,1,1,1] => 359
[2,5,8,4,7,3,1,6] => 0010110 => [2,1,1,2,1] => 241
[2,3,7,5,4,8,1,6] => 0011010 => [2,2,1,1,1] => 255
[6,8,3,2,4,7,1,5] => 0110010 => [1,2,2,1,1] => 295
[3,7,2,5,4,8,1,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,1,7,5,4,8,2,6] => 1011010 => [1,1,2,1,1,1] => 359
[1,3,7,5,4,8,2,6] => 0011010 => [2,2,1,1,1] => 255
[1,5,8,4,7,3,2,6] => 0010110 => [2,1,1,2,1] => 241
[5,1,8,4,7,3,2,6] => 1010110 => [1,1,1,1,2,1] => 345
[5,8,2,4,7,3,1,6] => 0100110 => [1,1,2,2,1] => 295
[6,8,4,3,7,5,1,2] => 0110110 => [1,2,1,2,1] => 281
[8,7,5,6,2,1,4,3] => 1101101 => [2,1,2,1,1] => 252
[8,5,2,4,7,3,1,6] => 1100110 => [2,2,2,1] => 211
[8,1,5,4,7,3,2,6] => 1010110 => [1,1,1,1,2,1] => 345
[1,8,5,4,7,3,2,6] => 0110110 => [1,2,1,2,1] => 281
[1,7,3,5,4,8,2,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[8,6,3,1,4,7,2,5] => 1110010 => [3,2,1,1] => 145
[8,6,4,2,7,5,1,3] => 1110110 => [3,1,2,1] => 137
[8,6,4,1,7,2,5,3] => 1110101 => [3,1,1,1,1] => 165
[5,3,7,4,6,8,2,1] => 1010011 => [1,1,1,2,2] => 255
[4,1,3,2,7,8,5,6] => 1010010 => [1,1,1,2,1,1] => 359
[1,4,3,2,7,8,5,6] => 0110010 => [1,2,2,1,1] => 295
[2,4,3,1,7,8,5,6] => 0110010 => [1,2,2,1,1] => 295
[2,7,3,5,4,8,1,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,8,5,4,7,3,1,6] => 0110110 => [1,2,1,2,1] => 281
[5,7,3,4,6,8,2,1] => 0100011 => [1,1,3,2] => 171
[8,2,5,4,7,3,1,6] => 1010110 => [1,1,1,1,2,1] => 345
[7,2,3,5,4,8,1,6] => 1001010 => [1,2,1,1,1,1] => 345
[3,2,1,4,7,8,5,6] => 1100010 => [2,3,1,1] => 171
[8,1,7,6,4,3,5,2] => 1011101 => [1,1,3,1,1] => 233
[8,6,4,5,2,7,1,3] => 1101010 => [2,1,1,1,1,1] => 297
[7,1,8,6,4,3,5,2] => 1011101 => [1,1,3,1,1] => 233
[7,4,2,5,1,6,3,8] => 1101010 => [2,1,1,1,1,1] => 297
[7,3,6,5,2,1,4,8] => 1011100 => [1,1,3,2] => 171
[8,3,6,5,2,1,7,4] => 1011101 => [1,1,3,1,1] => 233
[7,3,6,5,2,1,8,4] => 1011101 => [1,1,3,1,1] => 233
[7,5,8,6,4,2,1,3] => 1011110 => [1,1,4,1] => 107
[5,4,2,8,1,3,7,6] => 1101001 => [2,1,1,2,1] => 241
[5,8,2,6,4,1,3,7] => 0101100 => [1,1,1,2,2] => 255
[6,4,2,5,1,8,3,7] => 1101010 => [2,1,1,1,1,1] => 297
[6,3,5,2,1,4,7,8] => 1011000 => [1,1,2,3] => 145
[2,5,8,6,3,1,4,7] => 0011100 => [2,3,2] => 126
[2,3,5,8,1,4,7,6] => 0001001 => [3,1,2,1] => 137
[2,3,6,8,1,5,7,4] => 0001001 => [3,1,2,1] => 137
[6,3,8,5,2,7,1,4] => 1011010 => [1,1,2,1,1,1] => 359
[6,3,7,5,2,1,4,8] => 1011100 => [1,1,3,2] => 171
[2,5,7,6,3,1,4,8] => 0011100 => [2,3,2] => 126
[2,8,7,6,3,1,5,4] => 0111101 => [1,4,1,1] => 107
[2,5,8,7,6,3,1,4] => 0011110 => [2,4,1] => 81
[2,4,8,1,6,5,7,3] => 0010101 => [2,1,1,1,1,1] => 297
[2,8,7,3,6,1,4,5] => 0110100 => [1,2,1,1,2] => 241
[7,3,5,2,1,4,6,8] => 1011000 => [1,1,2,3] => 145
[8,4,2,5,1,3,7,6] => 1101001 => [2,1,1,2,1] => 241
[2,3,6,8,1,4,7,5] => 0001001 => [3,1,2,1] => 137
[2,7,8,6,3,1,4,5] => 0011100 => [2,3,2] => 126
[7,3,8,5,2,1,4,6] => 1011100 => [1,1,3,2] => 171
[2,3,6,1,8,4,7,5] => 0010101 => [2,1,1,1,1,1] => 297
[2,8,6,3,1,4,5,7] => 0111000 => [1,3,3] => 95
[8,3,5,2,1,4,6,7] => 1011000 => [1,1,2,3] => 145
[2,4,8,1,3,7,5,6] => 0010010 => [2,1,2,1,1] => 252
[2,5,8,1,7,3,6,4] => 0010101 => [2,1,1,1,1,1] => 297
[3,8,6,1,4,7,5,2] => 0110011 => [1,2,2,2] => 211
[2,7,1,5,8,3,4,6] => 0100100 => [1,1,2,1,2] => 252
[3,7,5,8,1,2,6,4] => 0101001 => [1,1,1,1,2,1] => 345
[7,3,6,1,2,8,4,5] => 1010010 => [1,1,1,2,1,1] => 359
[7,4,8,1,6,5,2,3] => 1010110 => [1,1,1,1,2,1] => 345
[7,4,5,8,6,1,2,3] => 1001100 => [1,2,2,2] => 211
[6,8,4,5,1,7,2,3] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,1,8,7,6,2,3,4] => 1011100 => [1,1,3,2] => 171
[8,5,1,6,2,7,3,4] => 1101010 => [2,1,1,1,1,1] => 297
[4,6,1,8,7,5,2,3] => 0101110 => [1,1,1,3,1] => 219
[4,5,1,8,7,2,3,6] => 0101100 => [1,1,1,2,2] => 255
[3,4,8,7,1,2,5,6] => 0011000 => [2,2,3] => 105
[6,4,8,7,1,2,5,3] => 1011001 => [1,1,2,2,1] => 295
[6,5,1,2,7,3,8,4] => 1100101 => [2,2,1,1,1] => 255
[6,5,1,8,2,7,3,4] => 1101010 => [2,1,1,1,1,1] => 297
[6,5,1,7,2,8,3,4] => 1101010 => [2,1,1,1,1,1] => 297
[6,5,1,7,2,3,8,4] => 1101001 => [2,1,1,2,1] => 241
[5,6,8,7,4,1,2,3] => 0011100 => [2,3,2] => 126
[6,8,5,7,4,1,2,3] => 0101100 => [1,1,1,2,2] => 255
[7,3,8,1,5,2,4,6] => 1010100 => [1,1,1,1,1,2] => 297
[4,1,7,5,3,6,2,8] => 1011010 => [1,1,2,1,1,1] => 359
[1,8,4,2,3,6,7,5] => 0110001 => [1,2,3,1] => 185
[2,5,8,3,4,6,7,1] => 0010001 => [2,1,3,1] => 157
[4,1,7,2,3,6,8,5] => 1010001 => [1,1,1,3,1] => 219
[4,6,2,1,5,7,8,3] => 0110001 => [1,2,3,1] => 185
[4,5,2,3,1,7,8,6] => 0101001 => [1,1,1,1,2,1] => 345
[3,2,6,7,4,1,8,5] => 1001101 => [1,2,2,1,1] => 295
[5,6,2,7,1,4,8,3] => 0101001 => [1,1,1,1,2,1] => 345
[6,2,3,8,1,7,4,5] => 1001010 => [1,2,1,1,1,1] => 345
[2,6,8,3,4,7,1,5] => 0010010 => [2,1,2,1,1] => 252
[4,6,2,7,5,1,3,8] => 0101100 => [1,1,1,2,2] => 255
[2,6,3,1,8,4,5,7] => 0110100 => [1,2,1,1,2] => 241
[2,4,3,7,8,1,5,6] => 0100100 => [1,1,2,1,2] => 252
[5,3,2,7,4,8,1,6] => 1101010 => [2,1,1,1,1,1] => 297
[5,1,2,7,6,8,4,3] => 1001011 => [1,2,1,1,2] => 241
[2,6,3,1,8,7,4,5] => 0110110 => [1,2,1,2,1] => 281
[3,5,6,4,7,8,1,2] => 0010010 => [2,1,2,1,1] => 252
[5,3,6,4,2,8,7,1] => 1011011 => [1,1,2,1,2] => 252
[5,4,2,3,7,8,6,1] => 1100011 => [2,3,2] => 126
[4,1,8,2,5,7,3,6] => 1010010 => [1,1,1,2,1,1] => 359
[3,1,8,4,7,2,5,6] => 1010100 => [1,1,1,1,1,2] => 297
[6,2,3,8,4,1,7,5] => 1001101 => [1,2,2,1,1] => 295
[2,6,4,1,5,3,8,7] => 0110101 => [1,2,1,1,1,1] => 345
[3,2,7,6,4,1,8,5] => 1011101 => [1,1,3,1,1] => 233
[2,5,4,1,7,6,8,3] => 0110101 => [1,2,1,1,1,1] => 345
[6,2,1,4,7,8,3,5] => 1100010 => [2,3,1,1] => 171
[2,6,5,1,7,8,3,4] => 0110010 => [1,2,2,1,1] => 295
[4,7,5,2,1,6,3,8] => 0111010 => [1,3,1,1,1] => 219
[4,2,3,7,8,1,6,5] => 1000101 => [1,3,1,1,1] => 219
[5,8,3,1,7,2,4,6] => 0110100 => [1,2,1,1,2] => 241
[6,8,3,1,5,2,4,7] => 0110100 => [1,2,1,1,2] => 241
[4,2,7,1,6,3,5,8] => 1010100 => [1,1,1,1,1,2] => 297
[5,1,7,4,2,6,3,8] => 1011010 => [1,1,2,1,1,1] => 359
[5,8,2,1,4,7,3,6] => 0110010 => [1,2,2,1,1] => 295
[6,8,3,2,5,1,7,4] => 0110101 => [1,2,1,1,1,1] => 345
[6,8,4,3,1,5,7,2] => 0111001 => [1,3,2,1] => 185
[6,8,4,2,1,5,7,3] => 0111001 => [1,3,2,1] => 185
[6,8,3,2,1,4,5,7] => 0111000 => [1,3,3] => 95
[5,1,7,3,2,4,6,8] => 1011000 => [1,1,2,3] => 145
[5,2,1,8,3,6,7,4] => 1101001 => [2,1,1,2,1] => 241
[4,3,8,1,6,2,7,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,2,1,6,5,8,3,7] => 1101010 => [2,1,1,1,1,1] => 297
[4,2,1,8,5,7,3,6] => 1101010 => [2,1,1,1,1,1] => 297
[6,3,2,1,7,4,5,8] => 1110100 => [3,1,1,2] => 117
[6,4,2,1,7,5,3,8] => 1110110 => [3,1,2,1] => 137
[7,5,2,1,8,6,3,4] => 1110110 => [3,1,2,1] => 137
[5,3,2,7,6,1,4,8] => 1101100 => [2,1,2,2] => 180
[5,3,2,8,6,1,4,7] => 1101100 => [2,1,2,2] => 180
[6,3,2,8,7,1,4,5] => 1101100 => [2,1,2,2] => 180
[4,2,8,1,7,3,5,6] => 1010100 => [1,1,1,1,1,2] => 297
[4,3,8,7,2,1,5,6] => 1011100 => [1,1,3,2] => 171
[2,1,5,8,4,7,3,6] => 1001010 => [1,2,1,1,1,1] => 345
[4,3,2,5,8,1,6,7] => 1100100 => [2,2,1,2] => 180
[4,3,2,5,7,1,6,8] => 1100100 => [2,2,1,2] => 180
[4,3,1,6,2,7,5,8] => 1101010 => [2,1,1,1,1,1] => 297
[5,4,1,7,2,8,6,3] => 1101011 => [2,1,1,1,2] => 207
[6,5,3,1,7,8,4,2] => 1110011 => [3,2,2] => 105
[6,4,2,1,7,8,5,3] => 1110011 => [3,2,2] => 105
[3,2,1,4,8,7,5,6] => 1100110 => [2,2,2,1] => 211
[3,2,1,4,6,8,5,7] => 1100010 => [2,3,1,1] => 171
[5,3,2,1,6,7,8,4] => 1110001 => [3,3,1] => 95
[8,6,1,4,5,7,2,3] => 1100010 => [2,3,1,1] => 171
[3,8,6,4,5,7,1,2] => 0110010 => [1,2,2,1,1] => 295
[5,2,8,3,7,4,6,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,2,8,5,4,7,3,1] => 1011011 => [1,1,2,1,2] => 252
[1,8,6,3,7,4,2,5] => 0110110 => [1,2,1,2,1] => 281
[1,8,6,5,7,2,3,4] => 0110100 => [1,2,1,1,2] => 241
[5,2,8,4,3,6,7,1] => 1011001 => [1,1,2,2,1] => 295
[5,4,2,7,3,6,1,8] => 1101010 => [2,1,1,1,1,1] => 297
[5,4,2,8,3,6,1,7] => 1101010 => [2,1,1,1,1,1] => 297
[6,5,3,8,4,7,2,1] => 1101011 => [2,1,1,1,2] => 207
[5,2,8,4,3,7,1,6] => 1011010 => [1,1,2,1,1,1] => 359
[6,2,8,3,7,4,1,5] => 1010110 => [1,1,1,1,2,1] => 345
[5,4,2,7,3,1,8,6] => 1101101 => [2,1,2,1,1] => 252
[6,4,3,7,1,2,8,5] => 1101001 => [2,1,1,2,1] => 241
[6,4,3,8,1,2,7,5] => 1101001 => [2,1,1,2,1] => 241
[7,6,3,8,4,2,1,5] => 1101110 => [2,1,3,1] => 157
[7,2,8,5,1,6,3,4] => 1011010 => [1,1,2,1,1,1] => 359
[7,2,8,4,3,1,5,6] => 1011100 => [1,1,3,2] => 171
[7,5,3,8,4,2,6,1] => 1101101 => [2,1,2,1,1] => 252
[6,4,2,7,3,1,5,8] => 1101100 => [2,1,2,2] => 180
[7,6,4,8,2,3,5,1] => 1101001 => [2,1,1,2,1] => 241
[7,6,8,1,2,5,3,4] => 1010010 => [1,1,1,2,1,1] => 359
[5,3,1,7,8,4,6,2] => 1100101 => [2,2,1,1,1] => 255
[5,3,2,7,8,4,6,1] => 1100101 => [2,2,1,1,1] => 255
[5,4,1,6,3,8,7,2] => 1101011 => [2,1,1,1,2] => 207
[6,5,1,7,8,2,3,4] => 1100100 => [2,2,1,2] => 180
[6,3,1,7,8,4,2,5] => 1100110 => [2,2,2,1] => 211
[5,4,1,7,3,8,2,6] => 1101010 => [2,1,1,1,1,1] => 297
[6,3,2,7,8,4,1,5] => 1100110 => [2,2,2,1] => 211
[6,1,5,4,3,2,8,7] => 1011101 => [1,1,3,1,1] => 233
[8,7,6,1,3,5,2,4] => 1110010 => [3,2,1,1] => 145
[8,1,6,5,7,3,4,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,4,1,5,7,6,2,3] => 1100110 => [2,2,2,1] => 211
[7,8,6,2,5,3,1,4] => 0110110 => [1,2,1,2,1] => 281
[6,1,3,5,2,8,4,7] => 1001010 => [1,2,1,1,1,1] => 345
[8,1,3,7,4,2,5,6] => 1001100 => [1,2,2,2] => 211
[4,3,8,7,5,2,1,6] => 1011110 => [1,1,4,1] => 107
[6,7,1,8,5,3,4,2] => 0101101 => [1,1,1,2,1,1] => 359
[2,7,6,4,8,3,5,1] => 0110101 => [1,2,1,1,1,1] => 345
[6,5,2,7,1,4,8,3] => 1101001 => [2,1,1,2,1] => 241
[7,4,6,1,3,2,8,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,5,2,1,3,8,4,6] => 1110010 => [3,2,1,1] => 145
[8,4,7,6,3,1,5,2] => 1011101 => [1,1,3,1,1] => 233
[7,4,1,5,6,3,8,2] => 1100101 => [2,2,1,1,1] => 255
[3,4,7,5,6,1,8,2] => 0010101 => [2,1,1,1,1,1] => 297
[2,4,7,5,6,3,8,1] => 0010101 => [2,1,1,1,1,1] => 297
[5,4,1,7,6,2,8,3] => 1101101 => [2,1,2,1,1] => 252
[3,5,6,7,1,4,8,2] => 0001001 => [3,1,2,1] => 137
[2,7,6,1,3,4,8,5] => 0110001 => [1,2,3,1] => 185
[5,7,2,1,6,3,8,4] => 0110101 => [1,2,1,1,1,1] => 345
[4,7,2,5,6,3,8,1] => 0100101 => [1,1,2,1,1,1] => 359
[8,6,2,5,7,1,4,3] => 1100101 => [2,2,1,1,1] => 255
[2,7,4,5,3,8,1,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[6,8,7,1,3,2,5,4] => 0110101 => [1,2,1,1,1,1] => 345
[2,8,6,5,7,1,4,3] => 0110101 => [1,2,1,1,1,1] => 345
[5,8,4,3,2,6,7,1] => 0111001 => [1,3,2,1] => 185
[1,8,5,6,2,4,7,3] => 0101001 => [1,1,1,1,2,1] => 345
[8,1,5,6,2,4,7,3] => 1001001 => [1,2,1,2,1] => 281
[6,4,8,1,3,2,7,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[1,4,5,2,8,6,7,3] => 0010101 => [2,1,1,1,1,1] => 297
[2,3,1,7,8,6,4,5] => 0100110 => [1,1,2,2,1] => 295
[3,5,7,6,2,8,1,4] => 0011010 => [2,2,1,1,1] => 255
[4,5,6,1,2,8,7,3] => 0010011 => [2,1,2,2] => 180
[5,4,1,2,8,6,7,3] => 1100101 => [2,2,1,1,1] => 255
[8,4,5,2,1,6,7,3] => 1011001 => [1,1,2,2,1] => 295
[3,1,2,6,8,4,7,5] => 1000101 => [1,3,1,1,1] => 219
[5,1,3,2,7,8,4,6] => 1010010 => [1,1,1,2,1,1] => 359
[1,5,4,2,7,8,3,6] => 0110010 => [1,2,2,1,1] => 295
[4,6,7,8,3,1,5,2] => 0001101 => [3,2,1,1] => 145
[7,6,2,8,4,3,1,5] => 1101110 => [2,1,3,1] => 157
[5,2,8,6,3,4,7,1] => 1011001 => [1,1,2,2,1] => 295
[5,6,8,4,3,2,7,1] => 0011101 => [2,3,1,1] => 171
[5,3,8,1,7,2,4,6] => 1010100 => [1,1,1,1,1,2] => 297
[3,6,7,8,4,2,1,5] => 0001110 => [3,3,1] => 95
[6,5,1,8,4,3,7,2] => 1101101 => [2,1,2,1,1] => 252
[6,3,8,4,2,1,7,5] => 1011101 => [1,1,3,1,1] => 233
[2,5,8,3,1,6,7,4] => 0011001 => [2,2,2,1] => 211
[3,5,8,1,2,6,7,4] => 0010001 => [2,1,3,1] => 157
[3,2,8,1,5,6,7,4] => 1010001 => [1,1,1,3,1] => 219
[1,5,8,3,2,6,7,4] => 0011001 => [2,2,2,1] => 211
[1,3,8,6,2,4,7,5] => 0011001 => [2,2,2,1] => 211
[3,2,7,8,4,6,1,5] => 1001010 => [1,2,1,1,1,1] => 345
[5,1,8,3,4,6,7,2] => 1010001 => [1,1,1,3,1] => 219
[4,8,7,2,1,6,3,5] => 0111010 => [1,3,1,1,1] => 219
[2,8,1,6,3,4,7,5] => 0101001 => [1,1,1,1,2,1] => 345
[8,3,4,2,1,6,5,7] => 1011010 => [1,1,2,1,1,1] => 359
[6,4,7,2,5,8,1,3] => 1010010 => [1,1,1,2,1,1] => 359
[8,4,5,2,6,3,1,7] => 1010110 => [1,1,1,1,2,1] => 345
[2,4,5,8,3,6,1,7] => 0001010 => [3,1,1,1,1] => 165
[3,5,8,1,2,6,4,7] => 0010010 => [2,1,2,1,1] => 252
[8,6,1,3,5,2,4,7] => 1100100 => [2,2,1,2] => 180
[8,5,1,2,6,4,3,7] => 1100110 => [2,2,2,1] => 211
[5,8,6,1,3,4,2,7] => 0110010 => [1,2,2,1,1] => 295
[5,8,4,6,1,3,2,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[7,3,4,5,2,8,1,6] => 1001010 => [1,2,1,1,1,1] => 345
[5,7,4,3,6,1,8,2] => 0110101 => [1,2,1,1,1,1] => 345
[2,6,4,3,7,8,5,1] => 0110011 => [1,2,2,2] => 211
[7,4,1,8,3,2,5,6] => 1101100 => [2,1,2,2] => 180
[6,2,1,7,8,4,5,3] => 1100101 => [2,2,1,1,1] => 255
[7,6,3,1,5,4,8,2] => 1110101 => [3,1,1,1,1] => 165
[2,4,6,5,1,7,8,3] => 0011001 => [2,2,2,1] => 211
[1,4,7,5,6,8,2,3] => 0010010 => [2,1,2,1,1] => 252
[1,4,7,6,5,8,2,3] => 0011010 => [2,2,1,1,1] => 255
[3,7,5,2,4,6,8,1] => 0110001 => [1,2,3,1] => 185
[5,6,1,7,4,2,8,3] => 0101101 => [1,1,1,2,1,1] => 359
[3,7,4,8,1,2,6,5] => 0101001 => [1,1,1,1,2,1] => 345
[6,3,5,7,8,1,4,2] => 1000101 => [1,3,1,1,1] => 219
[3,6,5,7,1,8,4,2] => 0101011 => [1,1,1,1,1,2] => 297
[6,4,7,8,2,1,3,5] => 1001100 => [1,2,2,2] => 211
[6,7,3,8,4,1,2,5] => 0101100 => [1,1,1,2,2] => 255
[2,7,8,3,4,6,1,5] => 0010010 => [2,1,2,1,1] => 252
[7,5,8,4,1,3,2,6] => 1011010 => [1,1,2,1,1,1] => 359
[4,7,5,8,3,1,2,6] => 0101100 => [1,1,1,2,2] => 255
[3,6,7,4,8,1,2,5] => 0010100 => [2,1,1,1,2] => 207
[5,7,3,1,6,8,4,2] => 0110011 => [1,2,2,2] => 211
[2,7,3,1,8,6,4,5] => 0110110 => [1,2,1,2,1] => 281
[2,8,4,3,1,5,7,6] => 0111001 => [1,3,2,1] => 185
[4,8,1,2,3,5,7,6] => 0100001 => [1,1,4,1] => 107
[7,6,8,1,2,4,3,5] => 1010010 => [1,1,1,2,1,1] => 359
[7,6,8,5,1,3,2,4] => 1011010 => [1,1,2,1,1,1] => 359
[2,8,5,4,6,1,7,3] => 0110101 => [1,2,1,1,1,1] => 345
[8,4,5,2,7,6,1,3] => 1010110 => [1,1,1,1,2,1] => 345
[8,7,6,4,1,2,5,3] => 1111001 => [4,2,1] => 65
[6,7,1,3,5,2,8,4] => 0100101 => [1,1,2,1,1,1] => 359
[5,7,2,3,6,8,1,4] => 0100010 => [1,1,3,1,1] => 233
[8,5,3,2,7,6,1,4] => 1110110 => [3,1,2,1] => 137
[3,4,6,7,5,8,1,2] => 0001010 => [3,1,1,1,1] => 165
[3,4,5,7,6,1,8,2] => 0001101 => [3,2,1,1] => 145
[2,6,4,5,7,8,3,1] => 0100011 => [1,1,3,2] => 171
[3,8,5,1,6,2,7,4] => 0110101 => [1,2,1,1,1,1] => 345
[2,5,1,3,6,8,7,4] => 0100011 => [1,1,3,2] => 171
[5,4,6,1,3,7,8,2] => 1010001 => [1,1,1,3,1] => 219
[6,3,5,7,1,4,8,2] => 1001001 => [1,2,1,2,1] => 281
[7,3,4,6,8,1,5,2] => 1000101 => [1,3,1,1,1] => 219
[7,5,2,8,4,1,3,6] => 1101100 => [2,1,2,2] => 180
[3,7,6,4,1,8,2,5] => 0111010 => [1,3,1,1,1] => 219
[3,7,8,4,1,5,6,2] => 0011001 => [2,2,2,1] => 211
[8,7,5,4,2,1,6,3] => 1111101 => [5,1,1] => 27
[3,5,8,6,7,4,2,1] => 0010111 => [2,1,1,3] => 117
[5,8,1,6,7,3,4,2] => 0100101 => [1,1,2,1,1,1] => 359
[6,7,2,5,1,8,4,3] => 0101011 => [1,1,1,1,1,2] => 297
[5,8,2,1,6,7,4,3] => 0110011 => [1,2,2,2] => 211
[4,5,2,8,6,3,7,1] => 0101101 => [1,1,1,2,1,1] => 359
[3,6,1,2,5,8,4,7] => 0100010 => [1,1,3,1,1] => 233
[1,4,5,8,2,3,7,6] => 0001001 => [3,1,2,1] => 137
[1,2,6,4,5,8,3,7] => 0010010 => [2,1,2,1,1] => 252
[1,5,2,4,6,8,3,7] => 0100010 => [1,1,3,1,1] => 233
[3,6,1,5,8,2,4,7] => 0100100 => [1,1,2,1,2] => 252
[2,6,5,1,4,8,3,7] => 0110010 => [1,2,2,1,1] => 295
[5,2,6,1,4,8,3,7] => 1010010 => [1,1,1,2,1,1] => 359
[2,5,1,8,4,7,3,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,7,1,4,3,6,8,5] => 0101001 => [1,1,1,1,2,1] => 345
[1,3,7,5,8,2,4,6] => 0010100 => [2,1,1,1,2] => 207
[8,2,1,5,7,3,4,6] => 1100100 => [2,2,1,2] => 180
[2,5,4,8,1,3,7,6] => 0101001 => [1,1,1,1,2,1] => 345
[2,4,1,3,8,6,7,5] => 0100101 => [1,1,2,1,1,1] => 359
[8,4,3,7,1,2,6,5] => 1101001 => [2,1,1,2,1] => 241
[1,7,3,5,8,2,6,4] => 0100101 => [1,1,2,1,1,1] => 359
[1,8,4,2,6,7,3,5] => 0110010 => [1,2,2,1,1] => 295
[3,1,6,8,7,2,4,5] => 1001100 => [1,2,2,2] => 211
[7,2,1,6,8,3,4,5] => 1100100 => [2,2,1,2] => 180
[3,1,7,6,8,2,4,5] => 1010100 => [1,1,1,1,1,2] => 297
[4,1,7,2,6,8,3,5] => 1010010 => [1,1,1,2,1,1] => 359
[5,1,7,2,3,6,8,4] => 1010001 => [1,1,1,3,1] => 219
[7,2,1,6,3,5,8,4] => 1101001 => [2,1,1,2,1] => 241
[2,6,1,7,3,5,8,4] => 0101001 => [1,1,1,1,2,1] => 345
[7,1,2,5,3,6,8,4] => 1001001 => [1,2,1,2,1] => 281
[5,4,1,2,7,8,3,6] => 1100010 => [2,3,1,1] => 171
[8,1,3,2,4,6,7,5] => 1010001 => [1,1,1,3,1] => 219
[7,3,1,2,4,6,8,5] => 1100001 => [2,4,1] => 81
[1,8,3,4,7,2,5,6] => 0100100 => [1,1,2,1,2] => 252
[3,5,8,1,2,7,4,6] => 0010010 => [2,1,2,1,1] => 252
[3,6,8,1,2,4,7,5] => 0010001 => [2,1,3,1] => 157
[4,1,3,8,7,2,6,5] => 1001101 => [1,2,2,1,1] => 295
[1,3,7,4,8,2,6,5] => 0010101 => [2,1,1,1,1,1] => 297
[1,4,6,8,2,3,7,5] => 0001001 => [3,1,2,1] => 137
[3,5,8,1,7,2,4,6] => 0010100 => [2,1,1,1,2] => 207
[2,6,8,1,7,3,4,5] => 0010100 => [2,1,1,1,2] => 207
[6,1,5,8,2,3,7,4] => 1001001 => [1,2,1,2,1] => 281
[1,8,3,2,7,5,6,4] => 0110101 => [1,2,1,1,1,1] => 345
[3,1,7,2,8,5,6,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[2,6,7,3,8,1,5,4] => 0010101 => [2,1,1,1,1,1] => 297
[8,4,1,7,3,6,2,5] => 1101010 => [2,1,1,1,1,1] => 297
[3,7,2,8,6,1,5,4] => 0101101 => [1,1,1,2,1,1] => 359
[6,2,3,8,7,1,5,4] => 1001101 => [1,2,2,1,1] => 295
[5,1,7,8,4,2,6,3] => 1001101 => [1,2,2,1,1] => 295
[5,1,8,7,4,2,6,3] => 1011101 => [1,1,3,1,1] => 233
[4,7,2,8,3,6,5,1] => 0101011 => [1,1,1,1,1,2] => 297
[4,1,7,8,5,3,6,2] => 1001101 => [1,2,2,1,1] => 295
[5,1,7,4,8,3,6,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,1,8,7,5,3,6,2] => 1011101 => [1,1,3,1,1] => 233
[4,8,2,7,3,6,5,1] => 0101011 => [1,1,1,1,1,2] => 297
[4,7,2,6,3,5,8,1] => 0101001 => [1,1,1,1,2,1] => 345
[6,8,2,4,3,7,5,1] => 0101011 => [1,1,1,1,1,2] => 297
[6,7,2,4,3,8,5,1] => 0101011 => [1,1,1,1,1,2] => 297
[6,8,2,7,3,5,4,1] => 0101011 => [1,1,1,1,1,2] => 297
[3,8,7,2,4,1,5,6] => 0110100 => [1,2,1,1,2] => 241
[3,7,8,2,4,1,5,6] => 0010100 => [2,1,1,1,2] => 207
[3,6,8,2,4,5,7,1] => 0010001 => [2,1,3,1] => 157
[3,6,7,2,4,5,8,1] => 0010001 => [2,1,3,1] => 157
[6,5,1,4,2,3,8,7] => 1101001 => [2,1,1,2,1] => 241
[8,6,1,7,2,5,4,3] => 1101011 => [2,1,1,1,2] => 207
[8,7,6,1,2,3,5,4] => 1110001 => [3,3,1] => 95
[5,4,3,1,6,2,8,7] => 1110101 => [3,1,1,1,1] => 165
[8,3,4,7,1,6,2,5] => 1001010 => [1,2,1,1,1,1] => 345
[6,3,4,1,8,5,2,7] => 1010110 => [1,1,1,1,2,1] => 345
[3,8,5,2,7,1,6,4] => 0110101 => [1,2,1,1,1,1] => 345
[2,8,6,7,5,3,4,1] => 0101101 => [1,1,1,2,1,1] => 359
[2,1,8,7,3,6,4,5] => 1011010 => [1,1,2,1,1,1] => 359
[3,6,5,8,2,4,7,1] => 0101001 => [1,1,1,1,2,1] => 345
[5,2,1,8,7,3,4,6] => 1101100 => [2,1,2,2] => 180
[6,5,2,7,4,3,8,1] => 1101101 => [2,1,2,1,1] => 252
[4,6,5,2,7,3,8,1] => 0110101 => [1,2,1,1,1,1] => 345
[6,2,7,1,8,3,5,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[2,7,5,4,8,3,6,1] => 0110101 => [1,2,1,1,1,1] => 345
[8,7,5,1,2,6,4,3] => 1110011 => [3,2,2] => 105
[8,4,3,2,7,1,6,5] => 1110101 => [3,1,1,1,1] => 165
[7,1,6,2,3,8,5,4] => 1010011 => [1,1,1,2,2] => 255
[4,8,1,3,2,7,5,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,8,1,4,7,5,2,6] => 0100110 => [1,1,2,2,1] => 295
[6,3,8,7,4,5,1,2] => 1011010 => [1,1,2,1,1,1] => 359
[6,1,4,8,5,2,3,7] => 1001100 => [1,2,2,2] => 211
[8,5,7,4,6,2,1,3] => 1010110 => [1,1,1,1,2,1] => 345
[4,6,7,8,2,3,5,1] => 0001001 => [3,1,2,1] => 137
[8,7,4,6,2,1,5,3] => 1101101 => [2,1,2,1,1] => 252
[7,6,1,3,5,2,8,4] => 1100101 => [2,2,1,1,1] => 255
[5,8,3,2,4,6,1,7] => 0110010 => [1,2,2,1,1] => 295
[8,2,6,5,3,1,7,4] => 1011101 => [1,1,3,1,1] => 233
[4,8,7,6,5,2,3,1] => 0111101 => [1,4,1,1] => 107
[2,1,8,6,4,3,7,5] => 1011101 => [1,1,3,1,1] => 233
[2,1,7,6,5,3,8,4] => 1011101 => [1,1,3,1,1] => 233
[2,7,6,1,3,5,8,4] => 0110001 => [1,2,3,1] => 185
[7,2,5,4,6,1,8,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,7,6,1,2,5,8,3] => 0110001 => [1,2,3,1] => 185
[2,4,1,7,6,8,5,3] => 0101011 => [1,1,1,1,1,2] => 297
[3,4,1,7,8,5,6,2] => 0100101 => [1,1,2,1,1,1] => 359
[7,5,4,3,1,8,6,2] => 1111011 => [4,1,2] => 55
[8,5,6,2,7,3,1,4] => 1010110 => [1,1,1,1,2,1] => 345
[8,4,2,5,6,1,7,3] => 1100101 => [2,2,1,1,1] => 255
[6,3,5,4,1,7,8,2] => 1011001 => [1,1,2,2,1] => 295
[4,1,3,6,7,5,8,2] => 1000101 => [1,3,1,1,1] => 219
[1,7,5,3,8,2,4,6] => 0110100 => [1,2,1,1,2] => 241
[1,7,2,4,5,8,3,6] => 0100010 => [1,1,3,1,1] => 233
[8,2,5,3,1,6,4,7] => 1011010 => [1,1,2,1,1,1] => 359
[1,7,4,5,8,3,2,6] => 0100110 => [1,1,2,2,1] => 295
[2,6,4,7,8,3,5,1] => 0100101 => [1,1,2,1,1,1] => 359
[2,6,4,7,8,3,1,5] => 0100110 => [1,1,2,2,1] => 295
[1,2,6,4,7,8,3,5] => 0010010 => [2,1,2,1,1] => 252
[2,7,4,5,8,1,3,6] => 0100100 => [1,1,2,1,2] => 252
[2,7,5,3,1,8,4,6] => 0111010 => [1,3,1,1,1] => 219
[6,1,4,7,8,3,5,2] => 1000101 => [1,3,1,1,1] => 219
[3,6,4,7,8,1,5,2] => 0100101 => [1,1,2,1,1,1] => 359
[4,3,6,7,1,8,5,2] => 1001011 => [1,2,1,1,2] => 241
[4,3,6,7,1,8,2,5] => 1001010 => [1,2,1,1,1,1] => 345
[3,6,4,7,8,1,2,5] => 0100100 => [1,1,2,1,2] => 252
[2,3,6,4,1,7,8,5] => 0011001 => [2,2,2,1] => 211
[4,7,2,1,5,3,8,6] => 0110101 => [1,2,1,1,1,1] => 345
[3,7,4,5,2,1,8,6] => 0101101 => [1,1,1,2,1,1] => 359
[1,3,6,4,7,2,8,5] => 0010101 => [2,1,1,1,1,1] => 297
[3,6,4,7,2,8,5,1] => 0101011 => [1,1,1,1,1,2] => 297
[5,1,3,4,2,7,8,6] => 1001001 => [1,2,1,2,1] => 281
[5,4,2,1,3,7,8,6] => 1110001 => [3,3,1] => 95
[6,1,7,3,8,2,5,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[1,6,7,3,8,2,5,4] => 0010101 => [2,1,1,1,1,1] => 297
[6,1,4,7,8,5,2,3] => 1000110 => [1,3,2,1] => 185
[6,3,2,1,7,8,5,4] => 1110011 => [3,2,2] => 105
[6,2,7,3,1,8,5,4] => 1011011 => [1,1,2,1,2] => 252
[6,2,4,7,8,1,5,3] => 1000101 => [1,3,1,1,1] => 219
[2,6,7,3,1,8,5,4] => 0011011 => [2,2,1,2] => 180
[8,6,5,1,3,2,4,7] => 1110100 => [3,1,1,2] => 117
[6,4,7,8,3,2,5,1] => 1001101 => [1,2,2,1,1] => 295
[3,8,4,7,1,2,5,6] => 0101000 => [1,1,1,1,3] => 165
[8,6,1,2,5,4,3,7] => 1100110 => [2,2,2,1] => 211
[4,8,6,1,5,3,2,7] => 0110110 => [1,2,1,2,1] => 281
[5,8,6,4,1,3,2,7] => 0111010 => [1,3,1,1,1] => 219
[8,3,6,4,5,2,1,7] => 1010110 => [1,1,1,1,2,1] => 345
[6,8,5,7,4,2,3,1] => 0101101 => [1,1,1,2,1,1] => 359
[2,3,8,7,1,6,4,5] => 0011010 => [2,2,1,1,1] => 255
[4,3,7,8,1,6,2,5] => 1001010 => [1,2,1,1,1,1] => 345
[3,5,8,7,4,1,2,6] => 0011100 => [2,3,2] => 126
[7,3,8,4,1,2,5,6] => 1011000 => [1,1,2,3] => 145
[4,8,1,2,7,3,5,6] => 0100100 => [1,1,2,1,2] => 252
[6,8,1,2,7,4,5,3] => 0100101 => [1,1,2,1,1,1] => 359
[5,6,8,4,1,3,7,2] => 0011001 => [2,2,2,1] => 211
[8,5,4,7,1,6,3,2] => 1101011 => [2,1,1,1,2] => 207
[2,5,8,7,3,6,4,1] => 0011011 => [2,2,1,2] => 180
[2,4,8,7,5,6,1,3] => 0011010 => [2,2,1,1,1] => 255
[3,7,4,8,5,6,2,1] => 0101011 => [1,1,1,1,1,2] => 297
[6,4,8,7,5,1,2,3] => 1011100 => [1,1,3,2] => 171
[3,8,5,2,4,6,7,1] => 0110001 => [1,2,3,1] => 185
[5,7,1,8,4,6,2,3] => 0101010 => [1,1,1,1,1,1,1] => 429
[6,3,8,7,2,1,4,5] => 1011100 => [1,1,3,2] => 171
[2,3,7,8,5,6,1,4] => 0001010 => [3,1,1,1,1] => 165
[3,7,6,8,5,1,2,4] => 0101100 => [1,1,1,2,2] => 255
[2,6,7,8,5,1,3,4] => 0001100 => [3,2,2] => 105
[2,4,7,8,1,6,3,5] => 0001010 => [3,1,1,1,1] => 165
[5,4,7,8,2,6,3,1] => 1001011 => [1,2,1,1,2] => 241
[2,8,3,4,1,5,7,6] => 0101001 => [1,1,1,1,2,1] => 345
[6,8,3,4,1,2,7,5] => 0101001 => [1,1,1,1,2,1] => 345
[6,8,7,1,5,2,3,4] => 0110100 => [1,2,1,1,2] => 241
[5,8,3,2,7,6,1,4] => 0110110 => [1,2,1,2,1] => 281
[2,5,3,1,8,6,7,4] => 0110101 => [1,2,1,1,1,1] => 345
[4,5,3,2,8,6,7,1] => 0110101 => [1,2,1,1,1,1] => 345
[3,5,8,6,1,4,7,2] => 0011001 => [2,2,2,1] => 211
[2,8,5,6,1,4,7,3] => 0101001 => [1,1,1,1,2,1] => 345
[4,8,6,1,5,2,7,3] => 0110101 => [1,2,1,1,1,1] => 345
[5,8,2,3,7,6,1,4] => 0100110 => [1,1,2,2,1] => 295
[4,6,8,5,3,2,7,1] => 0011101 => [2,3,1,1] => 171
[2,6,4,8,5,1,7,3] => 0101101 => [1,1,1,2,1,1] => 359
[7,6,4,8,5,2,1,3] => 1101110 => [2,1,3,1] => 157
[3,4,8,6,5,2,7,1] => 0011101 => [2,3,1,1] => 171
[3,4,8,7,5,6,2,1] => 0011011 => [2,2,1,2] => 180
[7,5,3,2,8,6,1,4] => 1110110 => [3,1,2,1] => 137
[2,5,1,3,8,6,7,4] => 0100101 => [1,1,2,1,1,1] => 359
[4,5,1,2,8,6,7,3] => 0100101 => [1,1,2,1,1,1] => 359
[5,4,8,1,3,6,7,2] => 1010001 => [1,1,1,3,1] => 219
[8,3,5,4,1,6,7,2] => 1011001 => [1,1,2,2,1] => 295
[7,3,4,8,5,6,1,2] => 1001010 => [1,2,1,1,1,1] => 345
[6,1,5,7,2,4,8,3] => 1001001 => [1,2,1,2,1] => 281
[7,4,5,1,2,3,8,6] => 1010001 => [1,1,1,3,1] => 219
[7,4,3,1,2,8,5,6] => 1110010 => [3,2,1,1] => 145
[8,4,7,6,2,1,5,3] => 1011101 => [1,1,3,1,1] => 233
[8,4,6,5,7,1,3,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,2,1,4,5,8,3,6] => 1100010 => [2,3,1,1] => 171
[7,4,1,6,3,5,8,2] => 1101001 => [2,1,1,2,1] => 241
[3,5,7,6,4,1,8,2] => 0011101 => [2,3,1,1] => 171
[4,7,5,2,1,3,8,6] => 0111001 => [1,3,2,1] => 185
[5,7,2,3,6,4,8,1] => 0100101 => [1,1,2,1,1,1] => 359
[8,6,2,3,7,1,4,5] => 1100100 => [2,2,1,2] => 180
[5,7,2,4,8,3,6,1] => 0100101 => [1,1,2,1,1,1] => 359
[1,7,2,4,8,6,3,5] => 0100110 => [1,1,2,2,1] => 295
[7,6,1,5,4,8,3,2] => 1101011 => [2,1,1,1,2] => 207
[4,7,3,2,1,8,5,6] => 0111010 => [1,3,1,1,1] => 219
[3,1,7,2,5,8,4,6] => 1010010 => [1,1,1,2,1,1] => 359
[4,8,7,6,1,2,5,3] => 0111001 => [1,3,2,1] => 185
[7,8,6,1,3,2,5,4] => 0110101 => [1,2,1,1,1,1] => 345
[2,8,6,7,4,1,3,5] => 0101100 => [1,1,1,2,2] => 255
[5,8,6,4,2,3,1,7] => 0111010 => [1,3,1,1,1] => 219
[2,8,3,1,6,5,4,7] => 0110110 => [1,2,1,2,1] => 281
[3,8,1,2,5,7,4,6] => 0100010 => [1,1,3,1,1] => 233
[6,8,5,4,2,7,3,1] => 0111011 => [1,3,1,2] => 157
[6,8,3,1,2,4,5,7] => 0110000 => [1,2,4] => 65
[4,6,8,7,3,1,5,2] => 0011101 => [2,3,1,1] => 171
[6,5,3,7,8,4,1,2] => 1100110 => [2,2,2,1] => 211
[4,1,3,8,7,5,6,2] => 1001101 => [1,2,2,1,1] => 295
[6,2,7,4,8,1,3,5] => 1010100 => [1,1,1,1,1,2] => 297
[8,4,5,2,1,6,3,7] => 1011010 => [1,1,2,1,1,1] => 359
[4,3,2,6,8,1,7,5] => 1100101 => [2,2,1,1,1] => 255
[7,1,5,6,3,8,2,4] => 1001010 => [1,2,1,1,1,1] => 345
[5,1,2,4,7,8,3,6] => 1000010 => [1,4,1,1] => 107
[3,5,4,2,8,1,6,7] => 0110100 => [1,2,1,1,2] => 241
[5,1,3,8,4,2,7,6] => 1001101 => [1,2,2,1,1] => 295
[6,2,8,7,3,5,4,1] => 1011011 => [1,1,2,1,2] => 252
[7,1,8,4,3,6,5,2] => 1011011 => [1,1,2,1,2] => 252
[3,6,8,7,4,1,2,5] => 0011100 => [2,3,2] => 126
[5,6,8,1,7,3,2,4] => 0010110 => [2,1,1,2,1] => 241
[3,1,6,8,7,4,2,5] => 1001110 => [1,2,3,1] => 185
[7,4,6,8,2,1,5,3] => 1001101 => [1,2,2,1,1] => 295
[6,5,8,4,3,1,2,7] => 1011100 => [1,1,3,2] => 171
[2,5,8,3,6,7,4,1] => 0010011 => [2,1,2,2] => 180
[8,5,1,3,7,4,6,2] => 1100101 => [2,2,1,1,1] => 255
[1,5,8,3,7,4,2,6] => 0010110 => [2,1,1,2,1] => 241
[3,8,2,7,1,5,6,4] => 0101001 => [1,1,1,1,2,1] => 345
[5,8,2,3,6,4,1,7] => 0100110 => [1,1,2,2,1] => 295
[6,8,2,3,4,7,5,1] => 0100011 => [1,1,3,2] => 171
[7,5,1,8,4,2,6,3] => 1101101 => [2,1,2,1,1] => 252
[3,6,8,5,2,7,4,1] => 0011011 => [2,2,1,2] => 180
[2,1,6,5,4,8,3,7] => 1011010 => [1,1,2,1,1,1] => 359
[2,1,7,8,4,6,5,3] => 1001011 => [1,2,1,1,2] => 241
[2,1,7,4,3,5,8,6] => 1011001 => [1,1,2,2,1] => 295
[3,5,7,8,4,6,1,2] => 0001010 => [3,1,1,1,1] => 165
[7,5,2,8,4,6,3,1] => 1101011 => [2,1,1,1,2] => 207
[7,8,2,4,3,1,5,6] => 0101100 => [1,1,1,2,2] => 255
[7,6,3,8,1,5,4,2] => 1101011 => [2,1,1,1,2] => 207
[8,4,3,1,7,5,2,6] => 1110110 => [3,1,2,1] => 137
[7,3,1,4,6,8,5,2] => 1100011 => [2,3,2] => 126
[4,3,8,7,1,6,5,2] => 1011011 => [1,1,2,1,2] => 252
[4,7,1,8,5,2,6,3] => 0101101 => [1,1,1,2,1,1] => 359
[5,2,4,3,6,8,1,7] => 1010010 => [1,1,1,2,1,1] => 359
[3,8,6,5,4,1,2,7] => 0111100 => [1,4,2] => 81
[4,7,5,6,3,8,2,1] => 0101011 => [1,1,1,1,1,2] => 297
[4,2,7,5,8,3,6,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,8,2,7,3,4,6,1] => 0101001 => [1,1,1,1,2,1] => 345
[6,7,2,4,5,3,8,1] => 0100101 => [1,1,2,1,1,1] => 359
[6,3,2,1,4,8,5,7] => 1110010 => [3,2,1,1] => 145
[6,2,3,1,4,7,8,5] => 1010001 => [1,1,1,3,1] => 219
[5,2,1,3,6,4,8,7] => 1100101 => [2,2,1,1,1] => 255
[7,1,8,3,5,4,6,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,1,2,4,8,5,6,3] => 1000101 => [1,3,1,1,1] => 219
[7,2,1,3,4,5,8,6] => 1100001 => [2,4,1] => 81
[8,7,3,5,4,2,1,6] => 1101110 => [2,1,3,1] => 157
[8,4,6,5,3,2,1,7] => 1011110 => [1,1,4,1] => 107
[5,1,6,4,3,2,8,7] => 1011101 => [1,1,3,1,1] => 233
[8,3,7,1,4,6,5,2] => 1010011 => [1,1,1,2,2] => 255
[2,8,3,6,4,7,5,1] => 0101011 => [1,1,1,1,1,2] => 297
[6,2,1,7,5,8,3,4] => 1101010 => [2,1,1,1,1,1] => 297
[6,3,8,7,5,2,1,4] => 1011110 => [1,1,4,1] => 107
[6,7,2,1,5,8,4,3] => 0110011 => [1,2,2,2] => 211
[9,1,8,7,6,5,4,3,2] => 10111111 => [1,1,6] => 35
[7,6,8,1,5,4,3,2] => 1010111 => [1,1,1,1,3] => 165
[7,1,9,8,6,5,4,3,2] => 10111111 => [1,1,6] => 35
[6,1,9,8,7,5,4,3,2] => 10111111 => [1,1,6] => 35
[5,4,8,7,6,1,3,2] => 1011101 => [1,1,3,1,1] => 233
[5,1,9,8,7,6,4,3,2] => 10111111 => [1,1,6] => 35
[4,1,9,8,7,6,5,3,2] => 10111111 => [1,1,6] => 35
[3,1,9,8,7,6,5,4,2] => 10111111 => [1,1,6] => 35
[10,1,9,8,7,6,5,4,3,2] => 101111111 => [1,1,7] => 44
[9,8,1,7,6,5,4,3,2] => 11011111 => [2,1,5] => 83
[7,6,1,8,5,4,3,2] => 1101111 => [2,1,4] => 55
[8,7,9,1,6,5,4,3,2] => 10101111 => [1,1,1,1,4] => 275
[8,1,10,9,7,6,5,4,3,2] => 101111111 => [1,1,7] => 44
[6,5,8,1,7,4,3,2] => 1010111 => [1,1,1,1,3] => 165
[7,6,9,8,1,5,4,3,2] => 10110111 => [1,1,2,1,3] => 502
[7,1,10,9,8,6,5,4,3,2] => 101111111 => [1,1,7] => 44
[6,5,9,8,7,1,4,3,2] => 10111011 => [1,1,3,1,2] => 609
[6,1,10,9,8,7,5,4,3,2] => 101111111 => [1,1,7] => 44
[6,5,8,7,4,1,3,2] => 1011101 => [1,1,3,1,1] => 233
[5,4,9,8,7,6,1,3,2] => 10111101 => [1,1,4,1,1] => 450
[5,1,10,9,8,7,6,4,3,2] => 101111111 => [1,1,7] => 44
[4,3,9,8,7,6,5,1,2] => 10111110 => [1,1,5,1] => 170
[4,1,10,9,8,7,6,5,3,2] => 101111111 => [1,1,7] => 44
[3,2,9,8,7,6,5,4,1] => 10111111 => [1,1,6] => 35
[3,1,10,9,8,7,6,5,4,2] => 101111111 => [1,1,7] => 44
[1,6,4,8,3,2,5,7] => 0101100 => [1,1,1,2,2] => 255
[1,8,3,5,6,2,4,7] => 0100100 => [1,1,2,1,2] => 252
[1,4,8,5,6,2,3,7] => 0010100 => [2,1,1,1,2] => 207
[1,2,8,5,3,7,4,6] => 0011010 => [2,2,1,1,1] => 255
[6,1,4,8,2,3,5,7] => 1001000 => [1,2,1,3] => 137
[8,7,2,5,6,1,4,3] => 1100101 => [2,2,1,1,1] => 255
[1,8,2,5,4,7,3,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,7,4,1,2,3,8,6] => 0110001 => [1,2,3,1] => 185
[1,7,4,2,5,3,8,6] => 0110101 => [1,2,1,1,1,1] => 345
[6,7,4,2,1,3,8,5] => 0111001 => [1,3,2,1] => 185
[6,4,3,8,5,7,1,2] => 1101010 => [2,1,1,1,1,1] => 297
[7,4,3,6,2,1,5,8] => 1101100 => [2,1,2,2] => 180
[6,8,4,2,3,1,5,7] => 0110100 => [1,2,1,1,2] => 241
[3,7,5,2,4,1,6,8] => 0110100 => [1,2,1,1,2] => 241
[5,2,8,6,1,3,4,7] => 1011000 => [1,1,2,3] => 145
[7,4,8,2,3,1,5,6] => 1010100 => [1,1,1,1,1,2] => 297
[4,2,7,3,1,5,6,8] => 1011000 => [1,1,2,3] => 145
[7,6,4,5,1,8,2,3] => 1101010 => [2,1,1,1,1,1] => 297
[8,6,4,1,3,7,2,5] => 1110010 => [3,2,1,1] => 145
[5,3,6,1,8,2,4,7] => 1010100 => [1,1,1,1,1,2] => 297
[3,1,8,5,4,7,6,2] => 1011011 => [1,1,2,1,2] => 252
[4,1,5,8,3,7,6,2] => 1001011 => [1,2,1,1,2] => 241
[4,1,5,3,8,7,6,2] => 1010111 => [1,1,1,1,3] => 165
[4,5,1,8,2,7,6,3] => 0101011 => [1,1,1,1,1,2] => 297
[4,8,5,3,1,7,6,2] => 0111011 => [1,3,1,2] => 157
[4,5,2,8,1,7,6,3] => 0101011 => [1,1,1,1,1,2] => 297
[4,5,2,1,8,7,6,3] => 0110111 => [1,2,1,3] => 137
[5,6,2,7,8,1,4,3] => 0100101 => [1,1,2,1,1,1] => 359
[4,6,2,8,7,1,5,3] => 0101101 => [1,1,1,2,1,1] => 359
[4,8,6,3,7,1,5,2] => 0110101 => [1,2,1,1,1,1] => 345
[4,8,6,3,7,5,1,2] => 0110110 => [1,2,1,2,1] => 281
[4,6,8,2,7,5,1,3] => 0010110 => [2,1,1,2,1] => 241
[4,6,2,8,7,5,1,3] => 0101110 => [1,1,1,3,1] => 219
[5,6,2,7,4,1,8,3] => 0101101 => [1,1,1,2,1,1] => 359
[5,6,7,2,3,1,8,4] => 0010101 => [2,1,1,1,1,1] => 297
[5,6,7,2,8,3,1,4] => 0010110 => [2,1,1,2,1] => 241
[5,6,7,2,1,8,3,4] => 0011010 => [2,2,1,1,1] => 255
[5,6,7,2,1,3,8,4] => 0011001 => [2,2,2,1] => 211
[5,6,1,7,8,2,4,3] => 0100101 => [1,1,2,1,1,1] => 359
[5,6,1,7,2,4,8,3] => 0101001 => [1,1,1,1,2,1] => 345
[5,1,6,7,8,3,4,2] => 1000101 => [1,3,1,1,1] => 219
[4,1,6,8,7,3,5,2] => 1001101 => [1,2,2,1,1] => 295
[3,1,8,6,7,5,4,2] => 1010111 => [1,1,1,1,3] => 165
[4,1,6,8,7,5,3,2] => 1001111 => [1,2,4] => 65
[5,1,6,7,4,8,3,2] => 1001011 => [1,2,1,1,2] => 241
[5,6,1,7,8,4,2,3] => 0100110 => [1,1,2,2,1] => 295
[4,6,8,1,7,5,2,3] => 0010110 => [2,1,1,2,1] => 241
[4,8,6,1,7,5,3,2] => 0110111 => [1,2,1,3] => 137
[5,6,7,1,8,3,2,4] => 0010110 => [2,1,1,2,1] => 241
[5,6,7,1,3,8,2,4] => 0010010 => [2,1,2,1,1] => 252
[5,6,7,1,3,2,8,4] => 0010101 => [2,1,1,1,1,1] => 297
[5,6,7,3,1,2,8,4] => 0011001 => [2,2,2,1] => 211
[5,6,7,3,8,1,2,4] => 0010100 => [2,1,1,1,2] => 207
[5,6,8,7,4,2,1,3] => 0011110 => [2,4,1] => 81
[5,6,7,3,8,2,1,4] => 0010110 => [2,1,1,2,1] => 241
[7,4,6,2,3,5,1,8] => 1010010 => [1,1,1,2,1,1] => 359
[1,4,8,6,3,2,5,7] => 0011100 => [2,3,2] => 126
[7,4,1,6,3,8,5,2] => 1101011 => [2,1,1,1,2] => 207
[7,6,3,1,5,8,4,2] => 1110011 => [3,2,2] => 105
[6,4,2,5,7,3,1,8] => 1100110 => [2,2,2,1] => 211
[4,2,5,7,6,3,1,8] => 1001110 => [1,2,3,1] => 185
[7,4,5,6,1,8,3,2] => 1001011 => [1,2,1,1,2] => 241
[4,1,5,8,6,3,2,7] => 1001110 => [1,2,3,1] => 185
[3,2,7,6,1,8,5,4] => 1011011 => [1,1,2,1,2] => 252
[4,7,5,1,6,8,2,3] => 0110010 => [1,2,2,1,1] => 295
[8,6,5,1,2,7,4,3] => 1110011 => [3,2,2] => 105
[3,2,5,1,4,8,7,6] => 1010011 => [1,1,1,2,2] => 255
[8,5,4,1,3,2,7,6] => 1110101 => [3,1,1,1,1] => 165
[1,4,2,3,6,8,7,5] => 0100011 => [1,1,3,2] => 171
[5,4,8,3,7,1,6,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,7,1,8,2,5,3,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[6,4,1,8,5,3,7,2] => 1101101 => [2,1,2,1,1] => 252
[8,4,6,1,3,5,2,7] => 1010010 => [1,1,1,2,1,1] => 359
[3,2,5,4,7,8,1,6] => 1010010 => [1,1,1,2,1,1] => 359
[5,2,4,3,7,8,1,6] => 1010010 => [1,1,1,2,1,1] => 359
[8,1,6,7,2,5,3,4] => 1001010 => [1,2,1,1,1,1] => 345
[3,1,7,6,5,8,2,4] => 1011010 => [1,1,2,1,1,1] => 359
[1,2,7,5,6,8,3,4] => 0010010 => [2,1,2,1,1] => 252
[6,1,4,7,2,8,3,5] => 1001010 => [1,2,1,1,1,1] => 345
[3,2,1,7,6,8,4,5] => 1101010 => [2,1,1,1,1,1] => 297
[3,2,8,6,4,7,1,5] => 1011010 => [1,1,2,1,1,1] => 359
[7,8,4,6,3,2,1,5] => 0101110 => [1,1,1,3,1] => 219
[1,8,6,5,3,7,2,4] => 0111010 => [1,3,1,1,1] => 219
[8,2,5,3,6,7,1,4] => 1010010 => [1,1,1,2,1,1] => 359
[3,8,5,2,7,6,1,4] => 0110110 => [1,2,1,2,1] => 281
[4,7,5,3,1,8,6,2] => 0111011 => [1,3,1,2] => 157
[4,5,3,6,8,1,7,2] => 0100101 => [1,1,2,1,1,1] => 359
[3,5,2,6,1,8,7,4] => 0101011 => [1,1,1,1,1,2] => 297
[1,6,3,5,7,2,8,4] => 0100101 => [1,1,2,1,1,1] => 359
[1,5,4,6,7,8,2,3] => 0100010 => [1,1,3,1,1] => 233
[8,4,6,5,7,2,1,3] => 1010110 => [1,1,1,1,2,1] => 345
[7,4,5,2,6,8,1,3] => 1010010 => [1,1,1,2,1,1] => 359
[5,4,2,6,8,7,1,3] => 1100110 => [2,2,2,1] => 211
[7,8,4,3,1,2,6,5] => 0111001 => [1,3,2,1] => 185
[6,5,1,4,3,2,8,7] => 1101101 => [2,1,2,1,1] => 252
[2,6,5,1,4,7,3,8] => 0110010 => [1,2,2,1,1] => 295
[3,6,4,5,2,1,8,7] => 0101101 => [1,1,1,2,1,1] => 359
[5,7,4,1,3,8,6,2] => 0110011 => [1,2,2,2] => 211
[7,5,4,2,3,8,1,6] => 1110010 => [3,2,1,1] => 145
[5,2,6,7,3,1,4,8] => 1001100 => [1,2,2,2] => 211
[2,4,3,8,6,1,5,7] => 0101100 => [1,1,1,2,2] => 255
[7,8,1,3,5,6,2,4] => 0100010 => [1,1,3,1,1] => 233
[7,8,3,1,5,6,2,4] => 0110010 => [1,2,2,1,1] => 295
[7,1,3,8,5,6,2,4] => 1001010 => [1,2,1,1,1,1] => 345
[1,7,8,3,5,6,2,4] => 0010010 => [2,1,2,1,1] => 252
[5,1,7,8,3,4,6,2] => 1001001 => [1,2,1,2,1] => 281
[1,5,7,8,3,4,6,2] => 0001001 => [3,1,2,1] => 137
[3,7,1,5,8,6,2,4] => 0100110 => [1,1,2,2,1] => 295
[1,3,7,8,2,5,6,4] => 0001001 => [3,1,2,1] => 137
[3,1,7,8,5,2,6,4] => 1001101 => [1,2,2,1,1] => 295
[1,3,7,5,8,2,6,4] => 0010101 => [2,1,1,1,1,1] => 297
[3,1,7,5,8,2,6,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[3,5,7,1,8,4,6,2] => 0010101 => [2,1,1,1,1,1] => 297
[3,5,7,8,1,4,6,2] => 0001001 => [3,1,2,1] => 137
[5,3,7,8,4,6,1,2] => 1001010 => [1,2,1,1,1,1] => 345
[5,3,7,8,4,1,6,2] => 1001101 => [1,2,2,1,1] => 295
[5,3,7,8,1,4,6,2] => 1001001 => [1,2,1,2,1] => 281
[5,3,7,1,8,4,6,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[1,5,3,7,8,4,2,6] => 0100110 => [1,1,2,2,1] => 295
[5,1,3,7,8,4,2,6] => 1000110 => [1,3,2,1] => 185
[3,6,2,1,4,5,8,7] => 0110001 => [1,2,3,1] => 185
[4,6,2,5,1,3,8,7] => 0101001 => [1,1,1,1,2,1] => 345
[6,4,2,5,1,3,8,7] => 1101001 => [2,1,1,2,1] => 241
[8,6,1,7,3,2,4,5] => 1101100 => [2,1,2,2] => 180
[2,5,8,1,7,3,4,6] => 0010100 => [2,1,1,1,2] => 207
[6,8,2,7,3,1,4,5] => 0101100 => [1,1,1,2,2] => 255
[6,8,2,3,7,1,4,5] => 0100100 => [1,1,2,1,2] => 252
[8,6,2,7,4,5,1,3] => 1101010 => [2,1,1,1,1,1] => 297
[5,2,8,1,7,3,4,6] => 1010100 => [1,1,1,1,1,2] => 297
[4,2,3,8,1,5,6,7] => 1001000 => [1,2,1,3] => 137
[5,2,8,3,7,1,4,6] => 1010100 => [1,1,1,1,1,2] => 297
[5,2,8,4,6,1,3,7] => 1010100 => [1,1,1,1,1,2] => 297
[2,1,5,8,4,3,6,7] => 1001100 => [1,2,2,2] => 211
[5,8,3,2,7,1,4,6] => 0110100 => [1,2,1,1,2] => 241
[4,1,3,8,2,5,6,7] => 1001000 => [1,2,1,3] => 137
[3,5,8,2,7,1,4,6] => 0010100 => [2,1,1,1,2] => 207
[4,5,8,2,6,1,3,7] => 0010100 => [2,1,1,1,2] => 207
[2,6,8,3,7,1,4,5] => 0010100 => [2,1,1,1,2] => 207
[5,1,8,3,7,2,4,6] => 1010100 => [1,1,1,1,1,2] => 297
[5,1,8,4,6,2,3,7] => 1010100 => [1,1,1,1,1,2] => 297
[5,8,4,1,6,2,3,7] => 0110100 => [1,2,1,1,2] => 241
[4,5,8,1,6,2,3,7] => 0010100 => [2,1,1,1,2] => 207
[5,4,8,1,6,2,3,7] => 1010100 => [1,1,1,1,1,2] => 297
[4,8,5,1,6,2,3,7] => 0110100 => [1,2,1,1,2] => 241
[2,1,5,4,8,3,6,7] => 1010100 => [1,1,1,1,1,2] => 297
[2,4,3,8,1,5,6,7] => 0101000 => [1,1,1,1,3] => 165
[3,1,8,4,2,5,6,7] => 1011000 => [1,1,2,3] => 145
[3,8,4,2,1,5,6,7] => 0111000 => [1,3,3] => 95
[2,3,8,4,1,5,6,7] => 0011000 => [2,2,3] => 105
[3,4,2,8,1,5,6,7] => 0101000 => [1,1,1,1,3] => 165
[3,8,5,2,7,1,4,6] => 0110100 => [1,2,1,1,2] => 241
[4,8,5,2,6,1,3,7] => 0110100 => [1,2,1,1,2] => 241
[2,1,4,8,5,3,6,7] => 1001100 => [1,2,2,2] => 211
[3,2,8,4,1,5,6,7] => 1011000 => [1,1,2,3] => 145
[2,8,4,3,1,5,6,7] => 0111000 => [1,3,3] => 95
[4,1,7,5,6,2,8,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,7,4,3,8,1,6,2] => 0110101 => [1,2,1,1,1,1] => 345
[5,7,4,3,8,2,6,1] => 0110101 => [1,2,1,1,1,1] => 345
[3,8,4,2,6,7,5,1] => 0110011 => [1,2,2,2] => 211
[3,8,4,1,6,7,5,2] => 0110011 => [1,2,2,2] => 211
[6,1,7,5,2,8,4,3] => 1011011 => [1,1,2,1,2] => 252
[5,6,4,3,2,8,1,7] => 0111010 => [1,3,1,1,1] => 219
[2,6,7,5,3,8,4,1] => 0011011 => [2,2,1,2] => 180
[6,7,4,8,2,5,3,1] => 0101011 => [1,1,1,1,1,2] => 297
[2,1,6,7,5,3,8,4] => 1001101 => [1,2,2,1,1] => 295
[3,8,4,2,1,6,7,5] => 0111001 => [1,3,2,1] => 185
[5,7,4,3,8,2,1,6] => 0110110 => [1,2,1,2,1] => 281
[6,7,4,8,1,2,5,3] => 0101001 => [1,1,1,1,2,1] => 345
[6,7,5,8,1,2,4,3] => 0101001 => [1,1,1,1,2,1] => 345
[6,7,4,8,3,1,2,5] => 0101100 => [1,1,1,2,2] => 255
[3,4,8,1,2,5,7,6] => 0010001 => [2,1,3,1] => 157
[6,1,3,4,8,2,5,7] => 1000100 => [1,3,1,2] => 157
[6,2,3,4,8,1,5,7] => 1000100 => [1,3,1,2] => 157
[3,4,8,2,1,5,7,6] => 0011001 => [2,2,2,1] => 211
[6,7,5,8,2,4,3,1] => 0101011 => [1,1,1,1,1,2] => 297
[6,7,5,8,3,1,4,2] => 0101101 => [1,1,1,2,1,1] => 359
[3,4,8,1,5,7,6,2] => 0010011 => [2,1,2,2] => 180
[2,5,7,6,1,4,8,3] => 0011001 => [2,2,2,1] => 211
[6,7,4,8,2,3,5,1] => 0101001 => [1,1,1,1,2,1] => 345
[6,7,4,8,1,3,5,2] => 0101001 => [1,1,1,1,2,1] => 345
[2,6,7,5,1,3,8,4] => 0011001 => [2,2,2,1] => 211
[6,3,1,4,8,2,5,7] => 1100100 => [2,2,1,2] => 180
[6,7,4,8,1,3,2,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[6,7,5,8,4,1,3,2] => 0101101 => [1,1,1,2,1,1] => 359
[6,7,4,8,2,1,3,5] => 0101100 => [1,1,1,2,2] => 255
[6,7,4,8,1,2,3,5] => 0101000 => [1,1,1,1,3] => 165
[1,5,6,3,4,8,2,7] => 0010010 => [2,1,2,1,1] => 252
[1,4,3,6,5,8,2,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[8,1,3,4,7,2,6,5] => 1000101 => [1,3,1,1,1] => 219
[5,1,7,3,4,8,2,6] => 1010010 => [1,1,1,2,1,1] => 359
[6,7,8,2,3,5,4,1] => 0010011 => [2,1,2,2] => 180
[5,8,6,2,3,7,4,1] => 0110011 => [1,2,2,2] => 211
[2,8,3,4,7,5,6,1] => 0100101 => [1,1,2,1,1,1] => 359
[1,8,3,4,7,6,2,5] => 0100110 => [1,1,2,2,1] => 295
[8,7,2,3,6,5,4,1] => 1100111 => [2,2,3] => 105
[3,8,1,7,5,2,6,4] => 0101101 => [1,1,1,2,1,1] => 359
[4,8,1,6,7,2,5,3] => 0100101 => [1,1,2,1,1,1] => 359
[2,1,3,8,4,6,5,7] => 1001010 => [1,2,1,1,1,1] => 345
[8,2,1,7,4,3,6,5] => 1101101 => [2,1,2,1,1] => 252
[1,3,2,8,5,4,6,7] => 0101100 => [1,1,1,2,2] => 255
[8,3,1,5,7,2,6,4] => 1100101 => [2,2,1,1,1] => 255
[8,4,5,1,7,2,6,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[1,5,6,8,7,4,2,3] => 0001110 => [3,3,1] => 95
[8,4,5,7,6,3,2,1] => 1001111 => [1,2,4] => 65
[1,4,8,5,7,6,2,3] => 0010110 => [2,1,1,2,1] => 241
[2,4,8,5,7,3,6,1] => 0010101 => [2,1,1,1,1,1] => 297
[4,3,8,6,5,7,2,1] => 1011011 => [1,1,2,1,2] => 252
[6,7,2,8,5,3,4,1] => 0101101 => [1,1,1,2,1,1] => 359
[5,2,7,8,6,3,4,1] => 1001101 => [1,2,2,1,1] => 295
[4,2,8,6,7,3,5,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[3,2,8,7,5,4,6,1] => 1011101 => [1,1,3,1,1] => 233
[3,1,8,7,5,6,2,4] => 1011010 => [1,1,2,1,1,1] => 359
[4,1,8,6,7,5,2,3] => 1010110 => [1,1,1,1,2,1] => 345
[5,1,7,8,6,4,2,3] => 1001110 => [1,2,3,1] => 185
[6,7,1,8,5,4,2,3] => 0101110 => [1,1,1,3,1] => 219
[7,8,3,2,6,1,4,5] => 0110100 => [1,2,1,1,2] => 241
[3,4,8,2,6,1,7,5] => 0010101 => [2,1,1,1,1,1] => 297
[7,8,4,1,5,6,3,2] => 0110011 => [1,2,2,2] => 211
[7,8,1,4,5,6,3,2] => 0100011 => [1,1,3,2] => 171
[7,8,1,2,6,3,4,5] => 0100100 => [1,1,2,1,2] => 252
[7,8,5,1,4,6,3,2] => 0110011 => [1,2,2,2] => 211
[7,8,4,5,1,6,3,2] => 0101011 => [1,1,1,1,1,2] => 297
[5,3,8,4,1,6,7,2] => 1011001 => [1,1,2,2,1] => 295
[6,2,4,8,1,5,3,7] => 1001010 => [1,2,1,1,1,1] => 345
[3,4,8,5,1,6,7,2] => 0011001 => [2,2,2,1] => 211
[3,5,8,1,4,6,7,2] => 0010001 => [2,1,3,1] => 157
[1,4,8,2,6,3,7,5] => 0010101 => [2,1,1,1,1,1] => 297
[5,3,8,1,4,6,7,2] => 1010001 => [1,1,1,3,1] => 219
[4,2,6,8,1,5,3,7] => 1001010 => [1,2,1,1,1,1] => 345
[7,4,2,8,1,5,3,6] => 1101010 => [2,1,1,1,1,1] => 297
[6,1,7,5,8,4,3,2] => 1010111 => [1,1,1,1,3] => 165
[6,2,1,8,4,5,3,7] => 1101010 => [2,1,1,1,1,1] => 297
[1,2,7,8,5,3,4,6] => 0001100 => [3,2,2] => 105
[6,3,7,8,5,4,1,2] => 1001110 => [1,2,3,1] => 185
[6,1,5,7,8,4,3,2] => 1000111 => [1,3,3] => 95
[1,7,5,6,8,4,3,2] => 0100111 => [1,1,2,3] => 145
[3,1,8,4,5,6,7,2] => 1010001 => [1,1,1,3,1] => 219
[2,1,4,8,6,5,3,7] => 1001110 => [1,2,3,1] => 185
[2,4,1,8,6,5,3,7] => 0101110 => [1,1,1,3,1] => 219
[4,2,1,8,6,5,3,7] => 1101110 => [2,1,3,1] => 157
[3,2,7,8,5,1,4,6] => 1001100 => [1,2,2,2] => 211
[2,3,7,8,5,1,4,6] => 0001100 => [3,2,2] => 105
[2,7,3,8,5,1,4,6] => 0101100 => [1,1,1,2,2] => 255
[3,6,2,8,5,1,4,7] => 0101100 => [1,1,1,2,2] => 255
[4,1,2,8,7,5,3,6] => 1001110 => [1,2,3,1] => 185
[1,4,2,8,7,5,3,6] => 0101110 => [1,1,1,3,1] => 219
[7,3,6,8,5,4,1,2] => 1001110 => [1,2,3,1] => 185
[7,2,1,8,5,3,4,6] => 1101100 => [2,1,2,2] => 180
[1,2,6,8,4,5,3,7] => 0001010 => [3,1,1,1,1] => 165
[7,1,6,5,8,4,3,2] => 1010111 => [1,1,1,1,3] => 165
[6,5,7,1,8,4,3,2] => 1010111 => [1,1,1,1,3] => 165
[5,7,6,1,8,4,3,2] => 0110111 => [1,2,1,3] => 137
[6,7,1,5,8,4,3,2] => 0100111 => [1,1,2,3] => 145
[6,7,3,8,5,4,1,2] => 0101110 => [1,1,1,3,1] => 219
[7,1,2,8,4,5,3,6] => 1001010 => [1,2,1,1,1,1] => 345
[7,6,1,5,8,4,3,2] => 1100111 => [2,2,3] => 105
[7,5,6,1,8,4,3,2] => 1010111 => [1,1,1,1,3] => 165
[9,10,7,8,5,6,2,1,3,4] => 010101100 => [1,1,1,1,1,2,2] => 3036
[9,10,7,8,4,3,5,6,1,2] => 010110010 => [1,1,1,2,2,1,1] => 3754
[9,10,7,8,4,2,5,1,3,6] => 010110100 => [1,1,1,2,1,1,2] => 3040
[9,10,7,8,3,2,1,4,5,6] => 010111000 => [1,1,1,3,3] => 1414
[9,10,6,5,7,8,3,4,1,2] => 011001010 => [1,2,2,1,1,1,1] => 3584
[9,10,6,5,7,8,2,1,3,4] => 011001100 => [1,2,2,2,2] => 2306
[9,10,6,4,7,3,5,8,1,2] => 011010010 => [1,2,1,1,2,1,1] => 3484
[9,10,6,4,7,2,5,1,3,8] => 011010100 => [1,2,1,1,1,1,2] => 2838
[9,10,6,3,7,2,1,4,5,8] => 011011000 => [1,2,1,2,3] => 1544
[9,10,5,4,3,6,7,8,1,2] => 011100010 => [1,3,3,1,1] => 1849
[9,10,5,4,2,6,7,1,3,8] => 011100100 => [1,3,2,1,2] => 1794
[9,10,5,3,2,6,1,4,7,8] => 011101000 => [1,3,1,1,3] => 1177
[9,10,4,3,2,1,5,6,7,8] => 011110000 => [1,4,4] => 406
[8,7,9,10,5,6,3,4,1,2] => 100101010 => [1,2,1,1,1,1,1,1] => 4004
[8,7,9,10,5,6,2,1,3,4] => 100101100 => [1,2,1,1,2,2] => 2526
[8,7,9,10,4,3,5,6,1,2] => 100110010 => [1,2,2,2,1,1] => 3164
[8,7,9,10,4,2,5,1,3,6] => 100110100 => [1,2,2,1,1,2] => 2558
[8,7,9,10,3,2,1,4,5,6] => 100111000 => [1,2,3,3] => 1224
[8,6,9,5,7,10,3,4,1,2] => 101001010 => [1,1,1,2,1,1,1,1] => 4274
[8,6,9,5,7,10,2,1,3,4] => 101001100 => [1,1,1,2,2,2] => 2728
[8,6,9,4,7,3,5,10,1,2] => 101010010 => [1,1,1,1,1,2,1,1] => 4202
[8,6,9,3,7,2,1,4,5,10] => 101011000 => [1,1,1,1,2,3] => 1834
[8,5,9,4,3,6,7,10,1,2] => 101100010 => [1,1,2,3,1,1] => 2704
[8,5,9,4,2,6,7,1,3,10] => 101100100 => [1,1,2,2,1,2] => 2694
[8,5,9,3,2,6,1,4,7,10] => 101101000 => [1,1,2,1,1,3] => 1762
[8,4,9,3,2,1,5,6,7,10] => 101110000 => [1,1,3,4] => 721
[7,6,5,8,9,10,3,4,1,2] => 110001010 => [2,3,1,1,1,1] => 2244
[7,6,5,8,9,10,2,1,3,4] => 110001100 => [2,3,2,2] => 1486
[7,6,4,8,9,3,5,10,1,2] => 110010010 => [2,2,1,2,1,1] => 2661
[7,6,4,8,9,2,5,1,3,10] => 110010100 => [2,2,1,1,1,2] => 2161
[7,6,3,8,9,2,1,4,5,10] => 110011000 => [2,2,2,3] => 1198
[7,5,4,8,3,6,9,10,1,2] => 110100010 => [2,1,1,3,1,1] => 2172
[7,5,4,8,2,6,9,1,3,10] => 110100100 => [2,1,1,2,1,2] => 2179
[7,4,3,8,2,1,5,6,9,10] => 110110000 => [2,1,2,4] => 681
[6,5,4,3,7,8,9,10,1,2] => 111000010 => [3,4,1,1] => 854
[6,5,4,2,7,8,9,1,3,10] => 111000100 => [3,3,1,2] => 1038
[6,5,3,2,7,8,1,4,9,10] => 111001000 => [3,2,1,3] => 802
[7,1,6,5,3,2,4,8] => 1011100 => [1,1,3,2] => 171
[1,8,7,5,3,2,4,6] => 0111100 => [1,4,2] => 81
[1,8,7,4,2,5,3,6] => 0111010 => [1,3,1,1,1] => 219
[8,7,4,2,5,3,6,1] => 1110101 => [3,1,1,1,1] => 165
[7,1,6,4,2,5,3,8] => 1011010 => [1,1,2,1,1,1] => 359
[2,6,5,4,7,1,3,8] => 0110100 => [1,2,1,1,2] => 241
[7,1,5,3,6,4,2,8] => 1010110 => [1,1,1,1,2,1] => 345
[5,3,7,1,6,4,2,8] => 1010110 => [1,1,1,1,2,1] => 345
[5,3,6,4,2,7,1,8] => 1011010 => [1,1,2,1,1,1] => 359
[1,5,3,8,7,4,2,6] => 0101110 => [1,1,1,3,1] => 219
[7,4,2,8,6,3,5,1] => 1101101 => [2,1,2,1,1] => 252
[5,3,6,1,8,7,4,2] => 1010111 => [1,1,1,1,3] => 165
[6,1,5,3,8,7,4,2] => 1010111 => [1,1,1,1,3] => 165
[2,8,7,5,4,6,1,3] => 0111010 => [1,3,1,1,1] => 219
[2,3,1,8,7,5,4,6] => 0101110 => [1,1,1,3,1] => 219
[5,3,8,7,4,2,1,6] => 1011110 => [1,1,4,1] => 107
[7,4,2,1,8,6,3,5] => 1110110 => [3,1,2,1] => 137
[8,6,3,5,7,4,2,1] => 1100111 => [2,2,3] => 105
[1,8,6,3,5,7,4,2] => 0110011 => [1,2,2,2] => 211
[6,3,8,5,2,1,7,4] => 1011101 => [1,1,3,1,1] => 233
[8,6,3,7,4,2,1,5] => 1101110 => [2,1,3,1] => 157
[2,8,6,4,7,5,1,3] => 0110110 => [1,2,1,2,1] => 281
[5,1,8,6,3,7,4,2] => 1011011 => [1,1,2,1,2] => 252
[6,3,7,4,1,8,5,2] => 1011011 => [1,1,2,1,2] => 252
[8,5,2,6,3,7,4,1] => 1101011 => [2,1,1,1,2] => 207
[6,1,8,7,4,2,5,3] => 1011101 => [1,1,3,1,1] => 233
[8,6,3,7,4,2,5,1] => 1101101 => [2,1,2,1,1] => 252
[1,8,6,3,2,4,7,5] => 0111001 => [1,3,2,1] => 185
[8,6,3,2,4,7,5,1] => 1110011 => [3,2,2] => 105
[7,5,1,8,6,3,2,4] => 1101110 => [2,1,3,1] => 157
[6,1,8,7,5,3,2,4] => 1011110 => [1,1,4,1] => 107
[4,3,2,8,7,6,1,5] => 1101110 => [2,1,3,1] => 157
[2,4,5,1,3,8,7,6] => 0010011 => [2,1,2,2] => 180
[7,5,8,6,3,2,4,1] => 1011101 => [1,1,3,1,1] => 233
[1,7,5,8,6,3,2,4] => 0101110 => [1,1,1,3,1] => 219
[1,7,4,2,5,8,6,3] => 0110011 => [1,2,2,2] => 211
[8,6,3,1,7,4,2,5] => 1110110 => [3,1,2,1] => 137
[8,7,4,2,5,3,1,6] => 1110110 => [3,1,2,1] => 137
[5,3,1,8,7,4,2,6] => 1101110 => [2,1,3,1] => 157
[4,1,8,7,5,3,2,6] => 1011110 => [1,1,4,1] => 107
[2,8,6,4,1,3,7,5] => 0111001 => [1,3,2,1] => 185
[4,1,8,6,3,2,7,5] => 1011101 => [1,1,3,1,1] => 233
[7,4,2,8,6,3,1,5] => 1101110 => [2,1,3,1] => 157
[6,3,1,8,5,2,7,4] => 1101101 => [2,1,2,1,1] => 252
[8,5,2,6,3,1,7,4] => 1101101 => [2,1,2,1,1] => 252
[7,4,8,5,2,6,3,1] => 1011011 => [1,1,2,1,2] => 252
[1,8,5,2,7,4,6,3] => 0110101 => [1,2,1,1,1,1] => 345
[8,5,2,7,4,6,3,1] => 1101011 => [2,1,1,1,2] => 207
[7,4,6,3,1,8,5,2] => 1011011 => [1,1,2,1,2] => 252
[6,3,1,7,4,8,5,2] => 1101011 => [2,1,1,1,2] => 207
[8,6,3,1,5,7,4,2] => 1110011 => [3,2,2] => 105
[4,1,7,5,8,6,3,2] => 1010111 => [1,1,1,1,3] => 165
[2,3,1,7,5,8,6,4] => 0101011 => [1,1,1,1,1,2] => 297
[7,4,8,5,2,1,6,3] => 1011101 => [1,1,3,1,1] => 233
[8,5,2,1,7,4,6,3] => 1110101 => [3,1,1,1,1] => 165
[1,7,4,6,3,8,5,2] => 0101011 => [1,1,1,1,1,2] => 297
[3,6,5,2,1,4,8,7] => 0111001 => [1,3,2,1] => 185
[3,5,6,2,1,4,8,7] => 0011001 => [2,2,2,1] => 211
[3,5,7,8,1,4,2,6] => 0001010 => [3,1,1,1,1] => 165
[4,1,8,5,7,3,2,6] => 1010110 => [1,1,1,1,2,1] => 345
[4,1,7,5,8,3,2,6] => 1010110 => [1,1,1,1,2,1] => 345
[2,1,5,8,7,4,3,6] => 1001110 => [1,2,3,1] => 185
[2,1,5,7,8,4,3,6] => 1000110 => [1,3,2,1] => 185
[5,1,7,4,8,3,2,6] => 1010110 => [1,1,1,1,2,1] => 345
[4,7,2,8,3,6,1,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,6,2,7,3,1,8,5] => 0101101 => [1,1,1,2,1,1] => 359
[3,7,8,2,4,1,6,5] => 0010101 => [2,1,1,1,1,1] => 297
[3,8,7,2,4,1,6,5] => 0110101 => [1,2,1,1,1,1] => 345
[3,8,6,2,4,1,7,5] => 0110101 => [1,2,1,1,1,1] => 345
[1,3,2,7,6,5,10,9,8,4] => 010110111 => [1,1,1,2,1,3] => 1806
[1,4,3,6,5,2,10,9,8,7] => 010110111 => [1,1,1,2,1,3] => 1806
[1,4,3,7,6,2,10,9,8,5] => 010110111 => [1,1,1,2,1,3] => 1806
[1,5,4,7,6,3,10,9,8,2] => 010110111 => [1,1,1,2,1,3] => 1806
[1,4,3,8,7,2,10,9,6,5] => 010110111 => [1,1,1,2,1,3] => 1806
[1,5,4,8,7,3,10,9,6,2] => 010110111 => [1,1,1,2,1,3] => 1806
[2,3,1,6,5,4,10,9,8,7] => 010110111 => [1,1,1,2,1,3] => 1806
[2,3,1,7,6,5,10,9,8,4] => 010110111 => [1,1,1,2,1,3] => 1806
[2,4,1,6,5,3,10,9,8,7] => 010110111 => [1,1,1,2,1,3] => 1806
[2,4,1,7,6,3,10,9,8,5] => 010110111 => [1,1,1,2,1,3] => 1806
[2,5,1,7,6,4,10,9,8,3] => 010110111 => [1,1,1,2,1,3] => 1806
[2,4,1,8,7,3,10,9,6,5] => 010110111 => [1,1,1,2,1,3] => 1806
[2,5,1,8,7,4,10,9,6,3] => 010110111 => [1,1,1,2,1,3] => 1806
[3,4,2,6,5,1,10,9,8,7] => 010110111 => [1,1,1,2,1,3] => 1806
[3,4,2,7,6,1,10,9,8,5] => 010110111 => [1,1,1,2,1,3] => 1806
[3,5,2,7,6,1,10,9,8,4] => 010110111 => [1,1,1,2,1,3] => 1806
[4,5,3,7,6,2,10,9,8,1] => 010110111 => [1,1,1,2,1,3] => 1806
[3,4,2,8,7,1,10,9,6,5] => 010110111 => [1,1,1,2,1,3] => 1806
[3,5,2,8,7,1,10,9,6,4] => 010110111 => [1,1,1,2,1,3] => 1806
[4,5,3,8,7,2,10,9,6,1] => 010110111 => [1,1,1,2,1,3] => 1806
[2,5,1,6,4,3,10,9,8,7] => 010110111 => [1,1,1,2,1,3] => 1806
[2,5,1,7,4,3,10,9,8,6] => 010110111 => [1,1,1,2,1,3] => 1806
[2,6,1,7,5,4,10,9,8,3] => 010110111 => [1,1,1,2,1,3] => 1806
[2,5,1,8,4,3,10,9,7,6] => 010110111 => [1,1,1,2,1,3] => 1806
[2,6,1,8,5,4,10,9,7,3] => 010110111 => [1,1,1,2,1,3] => 1806
[3,5,2,6,4,1,10,9,8,7] => 010110111 => [1,1,1,2,1,3] => 1806
[3,5,2,7,4,1,10,9,8,6] => 010110111 => [1,1,1,2,1,3] => 1806
[3,6,2,7,5,1,10,9,8,4] => 010110111 => [1,1,1,2,1,3] => 1806
[4,6,3,7,5,2,10,9,8,1] => 010110111 => [1,1,1,2,1,3] => 1806
[3,5,2,8,4,1,10,9,7,6] => 010110111 => [1,1,1,2,1,3] => 1806
[3,6,2,8,5,1,10,9,7,4] => 010110111 => [1,1,1,2,1,3] => 1806
[4,6,3,8,5,2,10,9,7,1] => 010110111 => [1,1,1,2,1,3] => 1806
[3,7,2,8,6,1,10,9,5,4] => 010110111 => [1,1,1,2,1,3] => 1806
[4,7,3,8,6,2,10,9,5,1] => 010110111 => [1,1,1,2,1,3] => 1806
[2,5,1,9,4,3,10,8,7,6] => 010110111 => [1,1,1,2,1,3] => 1806
[2,6,1,9,5,4,10,8,7,3] => 010110111 => [1,1,1,2,1,3] => 1806
[3,5,2,9,4,1,10,8,7,6] => 010110111 => [1,1,1,2,1,3] => 1806
[3,6,2,9,5,1,10,8,7,4] => 010110111 => [1,1,1,2,1,3] => 1806
[4,6,3,9,5,2,10,8,7,1] => 010110111 => [1,1,1,2,1,3] => 1806
[3,7,2,9,6,1,10,8,5,4] => 010110111 => [1,1,1,2,1,3] => 1806
[6,2,8,4,1,7,3,5] => 1011010 => [1,1,2,1,1,1] => 359
[7,3,4,8,1,6,2,5] => 1001010 => [1,2,1,1,1,1] => 345
[6,3,4,8,1,7,2,5] => 1001010 => [1,2,1,1,1,1] => 345
[5,3,4,8,1,2,7,6] => 1001001 => [1,2,1,2,1] => 281
[4,3,5,8,1,2,7,6] => 1001001 => [1,2,1,2,1] => 281
[1,8,5,4,2,3,7,6] => 0111001 => [1,3,2,1] => 185
[3,5,4,8,1,2,7,6] => 0101001 => [1,1,1,1,2,1] => 345
[4,5,3,8,1,2,7,6] => 0101001 => [1,1,1,1,2,1] => 345
[6,4,3,8,1,7,2,5] => 1101010 => [2,1,1,1,1,1] => 297
[7,4,3,8,1,6,2,5] => 1101010 => [2,1,1,1,1,1] => 297
[6,5,3,8,7,1,2,4] => 1101100 => [2,1,2,2] => 180
[5,6,3,8,7,1,2,4] => 0101100 => [1,1,1,2,2] => 255
[4,6,3,8,1,7,2,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,6,8,4,1,7,3,5] => 0011010 => [2,2,1,1,1] => 255
[1,8,7,4,2,6,3,5] => 0111010 => [1,3,1,1,1] => 219
[5,7,3,8,6,1,2,4] => 0101100 => [1,1,1,2,2] => 255
[3,7,5,8,6,1,2,4] => 0101100 => [1,1,1,2,2] => 255
[2,7,8,5,6,1,3,4] => 0010100 => [2,1,1,1,2] => 207
[1,8,7,5,6,2,3,4] => 0110100 => [1,2,1,1,2] => 241
[2,6,8,5,7,1,3,4] => 0010100 => [2,1,1,1,2] => 207
[5,3,6,8,7,1,2,4] => 1001100 => [1,2,2,2] => 211
[6,3,5,8,7,1,2,4] => 1001100 => [1,2,2,2] => 211
[7,2,8,5,6,1,3,4] => 1010100 => [1,1,1,1,1,2] => 297
[5,2,8,6,7,1,3,4] => 1010100 => [1,1,1,1,1,2] => 297
[1,8,3,2,7,6,4,5] => 0110110 => [1,2,1,2,1] => 281
[5,2,8,7,6,1,3,4] => 1011100 => [1,1,3,2] => 171
[6,2,8,7,5,1,3,4] => 1011100 => [1,1,3,2] => 171
[3,4,7,8,1,6,2,5] => 0001010 => [3,1,1,1,1] => 165
[1,8,5,7,6,2,3,4] => 0101100 => [1,1,1,2,2] => 255
[2,5,8,7,6,1,3,4] => 0011100 => [2,3,2] => 126
[7,4,6,5,8,1,2,3] => 1010100 => [1,1,1,1,1,2] => 297
[3,6,7,8,5,1,2,4] => 0001100 => [3,2,2] => 105
[2,6,8,7,5,1,3,4] => 0011100 => [2,3,2] => 126
[1,8,6,7,5,2,3,4] => 0101100 => [1,1,1,2,2] => 255
[2,7,8,6,5,1,3,4] => 0011100 => [2,3,2] => 126
[5,7,6,4,8,1,2,3] => 0110100 => [1,2,1,1,2] => 241
[6,3,8,7,5,1,2,4] => 1011100 => [1,1,3,2] => 171
[2,8,7,4,1,3,5,6] => 0111000 => [1,3,3] => 95
[5,4,8,7,1,3,2,6] => 1011010 => [1,1,2,1,1,1] => 359
[4,8,6,1,3,2,5,7] => 0110100 => [1,2,1,1,2] => 241
[5,4,2,7,6,8,1,3] => 1101010 => [2,1,1,1,1,1] => 297
[2,8,7,1,4,5,3,6] => 0110010 => [1,2,2,1,1] => 295
[4,2,1,8,7,3,5,6] => 1101100 => [2,1,2,2] => 180
[5,1,6,3,2,8,7,4] => 1011011 => [1,1,2,1,2] => 252
[4,6,1,8,7,3,2,5] => 0101110 => [1,1,1,3,1] => 219
[8,7,2,3,5,4,1,6] => 1100110 => [2,2,2,1] => 211
[5,3,1,4,8,7,2,6] => 1100110 => [2,2,2,1] => 211
[4,3,5,2,8,7,1,6] => 1010110 => [1,1,1,1,2,1] => 345
[3,4,2,8,6,1,5,7] => 0101100 => [1,1,1,2,2] => 255
[3,7,6,8,1,5,2,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[8,1,4,2,3,6,7,5] => 1010001 => [1,1,1,3,1] => 219
[3,7,2,1,8,6,4,5] => 0110110 => [1,2,1,2,1] => 281
[2,8,6,1,7,3,5,4] => 0110101 => [1,2,1,1,1,1] => 345
[1,7,6,3,5,8,2,4] => 0110010 => [1,2,2,1,1] => 295
[3,7,5,1,6,8,2,4] => 0110010 => [1,2,2,1,1] => 295
[3,6,5,8,1,4,7,2] => 0101001 => [1,1,1,1,2,1] => 345
[8,1,5,6,4,7,2,3] => 1001010 => [1,2,1,1,1,1] => 345
[3,6,7,4,1,8,2,5] => 0011010 => [2,2,1,1,1] => 255
[1,7,4,6,8,2,5,3] => 0100101 => [1,1,2,1,1,1] => 359
[7,5,8,2,6,3,1,4] => 1010110 => [1,1,1,1,2,1] => 345
[2,7,1,6,5,4,8,3] => 0101101 => [1,1,1,2,1,1] => 359
[7,3,2,6,1,8,5,4] => 1101011 => [2,1,1,1,2] => 207
[6,4,7,2,3,1,8,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,3,1,8,4,6,2,7] => 1101010 => [2,1,1,1,1,1] => 297
[3,8,1,6,7,4,2,5] => 0100110 => [1,1,2,2,1] => 295
[2,7,4,3,6,8,1,5] => 0110010 => [1,2,2,1,1] => 295
[2,8,4,6,1,5,3,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[8,4,1,6,3,2,5,7] => 1101100 => [2,1,2,2] => 180
[4,7,3,8,5,2,1,6] => 0101110 => [1,1,1,3,1] => 219
[3,1,7,4,8,5,2,6] => 1010110 => [1,1,1,1,2,1] => 345
[7,4,1,6,3,2,8,5] => 1101101 => [2,1,2,1,1] => 252
[3,8,6,2,7,4,1,5] => 0110110 => [1,2,1,2,1] => 281
[7,3,1,4,5,2,8,6] => 1100101 => [2,2,1,1,1] => 255
[6,1,4,8,5,3,2,7] => 1001110 => [1,2,3,1] => 185
[8,1,2,4,6,7,5,3] => 1000011 => [1,4,2] => 81
[8,1,3,6,7,5,4,2] => 1000111 => [1,3,3] => 95
[7,5,2,3,8,6,1,4] => 1100110 => [2,2,2,1] => 211
[8,6,2,4,1,3,7,5] => 1101001 => [2,1,1,2,1] => 241
[4,7,5,1,8,6,3,2] => 0110111 => [1,2,1,3] => 137
[4,7,3,2,8,5,6,1] => 0110101 => [1,2,1,1,1,1] => 345
[8,4,5,7,6,1,3,2] => 1001101 => [1,2,2,1,1] => 295
[7,5,8,4,2,3,6,1] => 1011001 => [1,1,2,2,1] => 295
[3,8,4,6,1,7,5,2] => 0101011 => [1,1,1,1,1,2] => 297
[3,7,4,6,5,2,8,1] => 0101101 => [1,1,1,2,1,1] => 359
[4,2,7,6,1,5,8,3] => 1011001 => [1,1,2,2,1] => 295
[8,3,1,4,5,7,6,2] => 1100011 => [2,3,2] => 126
[3,5,1,6,8,4,7,2] => 0100101 => [1,1,2,1,1,1] => 359
[6,1,5,7,3,8,4,2] => 1001011 => [1,2,1,1,2] => 241
[5,8,4,7,3,2,6,1] => 0101101 => [1,1,1,2,1,1] => 359
[7,2,6,5,8,4,1,3] => 1010110 => [1,1,1,1,2,1] => 345
[8,3,2,5,1,6,7,4] => 1101001 => [2,1,1,2,1] => 241
[2,6,8,3,7,4,1,5] => 0010110 => [2,1,1,2,1] => 241
[8,1,5,6,4,7,3,2] => 1001011 => [1,2,1,1,2] => 241
[2,5,8,1,6,4,7,3] => 0010101 => [2,1,1,1,1,1] => 297
[7,4,1,8,3,2,6,5] => 1101101 => [2,1,2,1,1] => 252
[8,3,7,4,2,1,6,5] => 1011101 => [1,1,3,1,1] => 233
[5,2,6,8,3,1,7,4] => 1001101 => [1,2,2,1,1] => 295
[3,6,5,8,4,1,7,2] => 0101101 => [1,1,1,2,1,1] => 359
[7,3,6,1,8,4,5,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,2,7,3,4,6,5,1] => 1010011 => [1,1,1,2,2] => 255
[7,3,8,2,5,6,4,1] => 1010011 => [1,1,1,2,2] => 255
[5,7,3,1,6,4,8,2] => 0110101 => [1,2,1,1,1,1] => 345
[6,1,3,2,4,8,7,5] => 1010011 => [1,1,1,2,2] => 255
[8,7,4,2,3,6,1,5] => 1110010 => [3,2,1,1] => 145
[8,7,1,5,4,2,3,6] => 1101100 => [2,1,2,2] => 180
[3,7,1,5,2,8,6,4] => 0101011 => [1,1,1,1,1,2] => 297
[8,7,2,5,4,1,3,6] => 1101100 => [2,1,2,2] => 180
[8,7,2,5,3,1,4,6] => 1101100 => [2,1,2,2] => 180
[5,2,8,7,1,4,3,6] => 1011010 => [1,1,2,1,1,1] => 359
[7,1,8,6,2,4,3,5] => 1011010 => [1,1,2,1,1,1] => 359
[8,1,6,2,7,5,3,4] => 1010110 => [1,1,1,1,2,1] => 345
[7,1,6,2,8,5,3,4] => 1010110 => [1,1,1,1,2,1] => 345
[6,3,4,1,7,2,8,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,2,4,3,5,1,8,6] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,1,7,2,3,8,6,4] => 1010011 => [1,1,1,2,2] => 255
[8,2,3,5,1,7,6,4] => 1001011 => [1,2,1,1,2] => 241
[7,6,3,1,4,8,2,5] => 1110010 => [3,2,1,1] => 145
[6,1,8,2,7,5,3,4] => 1010110 => [1,1,1,1,2,1] => 345
[7,2,8,1,6,5,3,4] => 1010110 => [1,1,1,1,2,1] => 345
[7,2,6,4,3,8,1,5] => 1011010 => [1,1,2,1,1,1] => 359
[5,1,7,4,3,8,2,6] => 1011010 => [1,1,2,1,1,1] => 359
[5,3,1,7,4,8,2,6] => 1101010 => [2,1,1,1,1,1] => 297
[7,4,8,2,1,5,3,6] => 1011010 => [1,1,2,1,1,1] => 359
[8,2,4,1,6,3,7,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,2,7,5,1,6,4,3] => 1011011 => [1,1,2,1,2] => 252
[6,1,7,3,2,8,5,4] => 1011011 => [1,1,2,1,2] => 252
[4,7,2,1,6,3,8,5] => 0110101 => [1,2,1,1,1,1] => 345
[6,2,1,5,3,8,4,7] => 1101010 => [2,1,1,1,1,1] => 297
[5,3,1,6,2,8,4,7] => 1101010 => [2,1,1,1,1,1] => 297
[6,1,5,2,8,4,3,7] => 1010110 => [1,1,1,1,2,1] => 345
[7,4,3,8,1,5,2,6] => 1101010 => [2,1,1,1,1,1] => 297
[7,4,8,1,5,3,2,6] => 1010110 => [1,1,1,1,2,1] => 345
[6,1,5,3,2,8,4,7] => 1011010 => [1,1,2,1,1,1] => 359
[6,3,2,8,4,1,5,7] => 1101100 => [2,1,2,2] => 180
[7,3,4,2,8,5,1,6] => 1010110 => [1,1,1,1,2,1] => 345
[7,1,6,3,4,2,8,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,5,1,3,7,4,2,6] => 1100110 => [2,2,2,1] => 211
[3,8,6,1,5,2,7,4] => 0110101 => [1,2,1,1,1,1] => 345
[8,6,1,3,7,5,2,4] => 1100110 => [2,2,2,1] => 211
[4,8,5,6,1,7,3,2] => 0101011 => [1,1,1,1,1,2] => 297
[6,7,1,3,8,5,2,4] => 0100110 => [1,1,2,2,1] => 295
[3,6,7,1,5,2,8,4] => 0010101 => [2,1,1,1,1,1] => 297
[7,1,3,8,4,2,6,5] => 1001101 => [1,2,2,1,1] => 295
[5,6,2,7,1,3,8,4] => 0101001 => [1,1,1,1,2,1] => 345
[5,6,2,8,1,3,7,4] => 0101001 => [1,1,1,1,2,1] => 345
[6,1,8,3,7,5,2,4] => 1010110 => [1,1,1,1,2,1] => 345
[7,4,2,1,5,8,3,6] => 1110010 => [3,2,1,1] => 145
[7,4,1,5,8,3,2,6] => 1100110 => [2,2,2,1] => 211
[7,3,2,6,4,8,1,5] => 1101010 => [2,1,1,1,1,1] => 297
[6,4,2,7,3,8,1,5] => 1101010 => [2,1,1,1,1,1] => 297
[5,1,8,3,7,4,2,6] => 1010110 => [1,1,1,1,2,1] => 345
[7,4,8,3,1,5,2,6] => 1011010 => [1,1,2,1,1,1] => 359
[5,2,1,7,4,8,3,6] => 1101010 => [2,1,1,1,1,1] => 297
[6,1,8,4,5,2,7,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,1,6,4,5,2,8,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[3,5,2,7,1,6,8,4] => 0101001 => [1,1,1,1,2,1] => 345
[4,5,7,3,1,6,8,2] => 0011001 => [2,2,2,1] => 211
[4,5,7,2,8,6,1,3] => 0010110 => [2,1,1,2,1] => 241
[3,5,1,7,2,6,8,4] => 0101001 => [1,1,1,1,2,1] => 345
[4,5,7,2,8,1,3,6] => 0010100 => [2,1,1,1,2] => 207
[4,6,7,2,1,5,8,3] => 0011001 => [2,2,2,1] => 211
[4,6,7,1,3,8,5,2] => 0010011 => [2,1,2,2] => 180
[3,6,1,5,7,8,4,2] => 0100011 => [1,1,3,2] => 171
[4,6,7,1,5,8,3,2] => 0010011 => [2,1,2,2] => 180
[6,1,3,7,4,8,5,2] => 1001011 => [1,2,1,1,2] => 241
[3,2,1,7,4,8,5,6] => 1101010 => [2,1,1,1,1,1] => 297
[4,1,5,2,7,6,3,8] => 1010110 => [1,1,1,1,2,1] => 345
[2,5,1,3,7,6,4,8] => 0100110 => [1,1,2,2,1] => 295
[2,5,1,4,3,8,6,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,7,2,1,5,8,6,4] => 0110011 => [1,2,2,2] => 211
[6,2,7,1,4,8,5,3] => 1010011 => [1,1,1,2,2] => 255
[3,7,4,2,1,8,5,6] => 0111010 => [1,3,1,1,1] => 219
[7,2,5,3,1,8,6,4] => 1011011 => [1,1,2,1,2] => 252
[7,5,1,4,2,8,6,3] => 1101011 => [2,1,1,1,2] => 207
[7,5,4,1,3,8,6,2] => 1110011 => [3,2,2] => 105
[5,3,2,1,7,6,4,8] => 1110110 => [3,1,2,1] => 137
[6,3,2,8,1,5,7,4] => 1101001 => [2,1,1,2,1] => 241
[7,4,3,2,8,1,6,5] => 1110101 => [3,1,1,1,1] => 165
[7,6,2,4,8,3,5,1] => 1100101 => [2,2,1,1,1] => 255
[7,3,6,4,8,1,5,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[2,7,5,3,8,1,4,6] => 0110100 => [1,2,1,1,2] => 241
[1,8,5,3,6,4,2,7] => 0110110 => [1,2,1,2,1] => 281
[8,6,2,3,7,5,4,1] => 1100111 => [2,2,3] => 105
[8,6,3,2,7,5,4,1] => 1110111 => [3,1,3] => 69
[8,3,2,7,1,6,4,5] => 1101010 => [2,1,1,1,1,1] => 297
[7,2,6,1,5,4,3,8] => 1010110 => [1,1,1,1,2,1] => 345
[8,5,7,4,3,6,2,1] => 1011011 => [1,1,2,1,2] => 252
[8,5,7,2,4,6,3,1] => 1010011 => [1,1,1,2,2] => 255
[8,4,6,7,1,3,2,5] => 1001010 => [1,2,1,1,1,1] => 345
[2,8,5,6,1,4,3,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[7,2,6,8,4,1,5,3] => 1001101 => [1,2,2,1,1] => 295
[7,6,4,8,3,2,5,1] => 1101101 => [2,1,2,1,1] => 252
[6,5,8,1,4,2,7,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,5,8,4,1,3,7,2] => 1011001 => [1,1,2,2,1] => 295
[5,4,8,3,2,1,7,6] => 1011101 => [1,1,3,1,1] => 233
[4,3,7,2,1,6,5,8] => 1011010 => [1,1,2,1,1,1] => 359
[2,5,8,1,4,3,7,6] => 0010101 => [2,1,1,1,1,1] => 297
[3,6,8,2,1,5,7,4] => 0011001 => [2,2,2,1] => 211
[5,7,4,8,1,3,6,2] => 0101001 => [1,1,1,1,2,1] => 345
[5,7,1,4,8,2,6,3] => 0100101 => [1,1,2,1,1,1] => 359
[2,7,4,1,8,3,6,5] => 0110101 => [1,2,1,1,1,1] => 345
[3,5,1,8,4,2,7,6] => 0101101 => [1,1,1,2,1,1] => 359
[4,1,5,7,3,6,2,8] => 1001010 => [1,2,1,1,1,1] => 345
[4,2,5,8,3,1,7,6] => 1001101 => [1,2,2,1,1] => 295
[6,1,2,7,8,3,5,4] => 1000101 => [1,3,1,1,1] => 219
[5,3,1,8,6,4,2,7] => 1101110 => [2,1,3,1] => 157
[3,1,8,4,7,5,2,6] => 1010110 => [1,1,1,1,2,1] => 345
[4,2,8,7,3,5,1,6] => 1011010 => [1,1,2,1,1,1] => 359
[4,8,1,7,6,2,3,5] => 0101100 => [1,1,1,2,2] => 255
[6,8,1,4,7,5,2,3] => 0100110 => [1,1,2,2,1] => 295
[7,3,8,1,6,4,2,5] => 1010110 => [1,1,1,1,2,1] => 345
[4,7,8,1,5,3,2,6] => 0010110 => [2,1,1,2,1] => 241
[7,1,8,6,2,5,3,4] => 1011010 => [1,1,2,1,1,1] => 359
[5,8,7,1,3,6,4,2] => 0110011 => [1,2,2,2] => 211
[3,8,7,2,1,6,4,5] => 0111010 => [1,3,1,1,1] => 219
[2,8,7,1,6,3,5,4] => 0110101 => [1,2,1,1,1,1] => 345
[3,7,6,1,5,4,2,8] => 0110110 => [1,2,1,2,1] => 281
[4,8,7,6,1,3,5,2] => 0111001 => [1,3,2,1] => 185
[5,8,7,2,6,1,4,3] => 0110101 => [1,2,1,1,1,1] => 345
[6,8,1,7,5,2,4,3] => 0101101 => [1,1,1,2,1,1] => 359
[7,3,8,6,5,1,2,4] => 1011100 => [1,1,3,2] => 171
[5,7,8,4,3,1,2,6] => 0011100 => [2,3,2] => 126
[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] => 157
[6,1,4,2,5,3,7,8] => 1010100 => [1,1,1,1,1,2] => 297
[1,3,7,5,4,2,8,6] => 0011101 => [2,3,1,1] => 171
[6,1,3,5,4,2,7,8] => 1001100 => [1,2,2,2] => 211
[6,1,2,5,4,7,3,8] => 1001010 => [1,2,1,1,1,1] => 345
[5,1,6,3,4,7,8,2] => 1010001 => [1,1,1,3,1] => 219
[5,2,6,3,4,7,1,8] => 1010010 => [1,1,1,2,1,1] => 359
[3,4,7,5,8,6,1,2] => 0010110 => [2,1,1,2,1] => 241
[2,4,7,1,5,3,8,6] => 0010101 => [2,1,1,1,1,1] => 297
[2,3,6,7,4,8,1,5] => 0001010 => [3,1,1,1,1] => 165
[1,3,6,7,4,8,5,2] => 0001011 => [3,1,1,2] => 117
[2,7,6,5,3,1,8,4] => 0111101 => [1,4,1,1] => 107
[5,2,6,1,4,7,8,3] => 1010001 => [1,1,1,3,1] => 219
[4,7,6,5,2,1,8,3] => 0111101 => [1,4,1,1] => 107
[5,3,6,2,4,1,7,8] => 1010100 => [1,1,1,1,1,2] => 297
[5,7,4,2,1,3,6,8] => 0111000 => [1,3,3] => 95
[6,3,1,5,4,7,8,2] => 1101001 => [2,1,1,2,1] => 241
[5,3,6,1,4,2,7,8] => 1010100 => [1,1,1,1,1,2] => 297
[1,7,4,2,6,3,8,5] => 0110101 => [1,2,1,1,1,1] => 345
[5,7,4,1,2,3,6,8] => 0110000 => [1,2,4] => 65
[6,4,1,2,5,3,7,8] => 1100100 => [2,2,1,2] => 180
[4,7,6,3,8,5,1,2] => 0110110 => [1,2,1,2,1] => 281
[3,7,6,5,2,8,1,4] => 0111010 => [1,3,1,1,1] => 219
[3,7,6,5,1,2,8,4] => 0111001 => [1,3,2,1] => 185
[4,7,2,6,1,3,8,5] => 0101001 => [1,1,1,1,2,1] => 345
[2,7,1,6,8,3,5,4] => 0100101 => [1,1,2,1,1,1] => 359
[2,7,6,5,8,1,4,3] => 0110101 => [1,2,1,1,1,1] => 345
[9,1,2,3,4,5,6,8,7] => 10000001 => [1,6,1] => 50
[10,1,2,3,4,5,6,7,9,8] => 100000001 => [1,7,1] => 65
[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] => 110
[2,3,4,5,6,7,8,10,9,1] => 000000011 => [7,2] => 36
[9,2,1,8,7,6,5,4,3] => 11011111 => [2,1,5] => 83
[3,2,10,9,8,7,6,5,4,1] => 101111111 => [1,1,7] => 44
[3,9,2,8,7,6,5,4,1] => 01011111 => [1,1,1,5] => 110
[4,2,9,8,7,6,5,3,1] => 10111111 => [1,1,6] => 35
[5,2,8,7,6,4,3,1] => 1011111 => [1,1,5] => 27
[8,2,7,6,1,5,4,3] => 1011011 => [1,1,2,1,2] => 252
[9,2,8,1,7,6,5,4,3] => 10101111 => [1,1,1,1,4] => 275
[8,4,1,7,6,5,3,2] => 1101111 => [2,1,4] => 55
[9,3,1,8,7,6,5,4,2] => 11011111 => [2,1,5] => 83
[10,2,1,9,8,7,6,5,4,3] => 110111111 => [2,1,6] => 119
[4,5,6,2,3,8,1,7] => 0010010 => [2,1,2,1,1] => 252
[4,5,3,2,7,8,1,6] => 0110010 => [1,2,2,1,1] => 295
[6,5,7,3,8,4,2,1] => 1010111 => [1,1,1,1,3] => 165
[6,8,7,2,4,3,5,1] => 0110101 => [1,2,1,1,1,1] => 345
[3,2,7,4,5,8,1,6] => 1010010 => [1,1,1,2,1,1] => 359
[6,8,1,5,2,4,3,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[8,3,4,6,1,5,2,7] => 1001010 => [1,2,1,1,1,1] => 345
[2,3,4,7,5,8,1,6] => 0001010 => [3,1,1,1,1] => 165
[6,3,4,7,8,2,5,1] => 1000101 => [1,3,1,1,1] => 219
[5,3,7,4,8,6,1,2] => 1010110 => [1,1,1,1,2,1] => 345
[8,3,6,4,1,7,2,5] => 1011010 => [1,1,2,1,1,1] => 359
[1,3,7,4,8,6,2,5] => 0010110 => [2,1,1,2,1] => 241
[3,7,8,5,4,1,2,6] => 0011100 => [2,3,2] => 126
[5,4,3,1,7,8,2,6] => 1110010 => [3,2,1,1] => 145
[5,7,6,2,8,4,1,3] => 0110110 => [1,2,1,2,1] => 281
[6,1,7,5,8,3,4,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,5,6,4,1,3,8,2] => 1011001 => [1,1,2,2,1] => 295
[1,5,6,8,4,7,3,2] => 0001011 => [3,1,1,2] => 117
[4,1,3,7,6,5,8,2] => 1001101 => [1,2,2,1,1] => 295
[3,4,1,7,5,8,6,2] => 0101011 => [1,1,1,1,1,2] => 297
[8,5,7,4,3,1,6,2] => 1011101 => [1,1,3,1,1] => 233
[6,8,5,1,7,2,4,3] => 0110101 => [1,2,1,1,1,1] => 345
[8,2,4,1,3,7,6,5] => 1010011 => [1,1,1,2,2] => 255
[7,8,3,6,2,1,4,5] => 0101100 => [1,1,1,2,2] => 255
[8,1,7,4,2,3,6,5] => 1011001 => [1,1,2,2,1] => 295
[1,8,7,2,3,5,6,4] => 0110001 => [1,2,3,1] => 185
[2,8,3,1,6,7,5,4] => 0110011 => [1,2,2,2] => 211
[8,2,3,1,5,7,6,4] => 1010011 => [1,1,1,2,2] => 255
[3,8,4,1,2,7,6,5] => 0110011 => [1,2,2,2] => 211
[5,4,7,2,3,6,8,1] => 1010001 => [1,1,1,3,1] => 219
[6,3,2,1,8,4,7,5] => 1110101 => [3,1,1,1,1] => 165
[2,3,7,4,1,8,5,6] => 0011010 => [2,2,1,1,1] => 255
[6,4,1,3,2,7,8,5] => 1101001 => [2,1,1,2,1] => 241
[2,7,8,5,1,3,6,4] => 0011001 => [2,2,2,1] => 211
[8,2,5,6,7,1,3,4] => 1000100 => [1,3,1,2] => 157
[2,8,5,4,7,6,1,3] => 0110110 => [1,2,1,2,1] => 281
[6,7,1,5,8,2,4,3] => 0100101 => [1,1,2,1,1,1] => 359
[4,8,7,6,2,3,5,1] => 0111001 => [1,3,2,1] => 185
[7,8,1,5,3,2,6,4] => 0101101 => [1,1,1,2,1,1] => 359
[6,5,7,3,8,2,1,4] => 1010110 => [1,1,1,1,2,1] => 345
[8,1,4,7,2,5,6,3] => 1001001 => [1,2,1,2,1] => 281
[7,3,4,6,1,5,8,2] => 1001001 => [1,2,1,2,1] => 281
[8,3,4,5,7,1,6,2] => 1000101 => [1,3,1,1,1] => 219
[4,2,6,8,3,1,5,7] => 1001100 => [1,2,2,2] => 211
[3,7,6,2,4,5,1,8] => 0110010 => [1,2,2,1,1] => 295
[2,3,6,5,8,1,4,7] => 0010100 => [2,1,1,1,2] => 207
[2,3,5,8,6,1,4,7] => 0001100 => [3,2,2] => 105
[4,2,3,8,6,1,5,7] => 1001100 => [1,2,2,2] => 211
[6,4,1,2,8,3,5,7] => 1100100 => [2,2,1,2] => 180
[1,2,3,7,4,6,8,5] => 0001001 => [3,1,2,1] => 137
[3,2,7,1,4,5,8,6] => 1010001 => [1,1,1,3,1] => 219
[2,1,5,3,8,7,4,6] => 1010110 => [1,1,1,1,2,1] => 345
[5,8,3,2,4,1,6,7] => 0110100 => [1,2,1,1,2] => 241
[4,2,7,1,8,3,5,6] => 1010100 => [1,1,1,1,1,2] => 297
[4,1,8,2,7,3,5,6] => 1010100 => [1,1,1,1,1,2] => 297
[1,2,7,5,3,8,4,6] => 0011010 => [2,2,1,1,1] => 255
[3,2,7,1,4,8,5,6] => 1010010 => [1,1,1,2,1,1] => 359
[1,2,3,7,6,8,4,5] => 0001010 => [3,1,1,1,1] => 165
[1,2,3,6,8,7,4,5] => 0000110 => [4,2,1] => 65
[1,2,3,7,8,4,6,5] => 0000101 => [4,1,1,1] => 75
[1,2,3,6,8,4,7,5] => 0000101 => [4,1,1,1] => 75
[1,2,3,7,8,6,4,5] => 0000110 => [4,2,1] => 65
[6,2,8,3,7,5,1,4] => 1010110 => [1,1,1,1,2,1] => 345
[4,2,8,3,7,5,6,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,3,4,8,6,5,1,2] => 1001110 => [1,2,3,1] => 185
[5,3,4,8,7,2,6,1] => 1001101 => [1,2,2,1,1] => 295
[4,3,5,8,7,2,6,1] => 1001101 => [1,2,2,1,1] => 295
[4,6,3,8,5,7,2,1] => 0101011 => [1,1,1,1,1,2] => 297
[7,5,3,8,6,2,4,1] => 1101101 => [2,1,2,1,1] => 252
[2,6,8,3,7,4,5,1] => 0010101 => [2,1,1,1,1,1] => 297
[1,8,4,3,7,5,6,2] => 0110101 => [1,2,1,1,1,1] => 345
[2,5,8,3,7,4,6,1] => 0010101 => [2,1,1,1,1,1] => 297
[7,4,3,8,6,2,5,1] => 1101101 => [2,1,2,1,1] => 252
[3,5,4,8,7,2,6,1] => 0101101 => [1,1,1,2,1,1] => 359
[4,5,3,8,6,7,2,1] => 0101011 => [1,1,1,1,1,2] => 297
[3,6,7,8,4,5,2,1] => 0001011 => [3,1,1,2] => 117
[2,6,8,5,4,7,3,1] => 0011011 => [2,2,1,2] => 180
[1,8,5,6,4,7,3,2] => 0101011 => [1,1,1,1,1,2] => 297
[2,5,8,6,4,7,3,1] => 0011011 => [2,2,1,2] => 180
[7,4,6,5,8,3,2,1] => 1010111 => [1,1,1,1,3] => 165
[6,3,7,8,4,5,2,1] => 1001011 => [1,2,1,1,2] => 241
[4,3,7,8,5,6,2,1] => 1001011 => [1,2,1,1,2] => 241
[5,2,8,6,4,7,3,1] => 1011011 => [1,1,2,1,2] => 252
[4,2,8,6,5,7,3,1] => 1011011 => [1,1,2,1,2] => 252
[3,2,8,6,7,4,5,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[2,3,8,7,5,4,6,1] => 0011101 => [2,3,1,1] => 171
[1,8,2,7,4,5,6,3] => 0101001 => [1,1,1,1,2,1] => 345
[7,2,8,6,3,4,5,1] => 1011001 => [1,1,2,2,1] => 295
[6,2,8,4,5,7,3,1] => 1010011 => [1,1,1,2,2] => 255
[5,2,8,4,6,7,3,1] => 1010011 => [1,1,1,2,2] => 255
[4,2,8,5,6,7,3,1] => 1010011 => [1,1,1,2,2] => 255
[4,3,6,8,5,7,2,1] => 1001011 => [1,2,1,1,2] => 241
[3,4,6,8,7,2,5,1] => 0001101 => [3,2,1,1] => 145
[7,3,5,8,6,2,4,1] => 1001101 => [1,2,2,1,1] => 295
[1,8,3,5,7,4,6,2] => 0100101 => [1,1,2,1,1,1] => 359
[2,7,8,4,5,6,3,1] => 0010011 => [2,1,2,2] => 180
[3,7,5,8,4,6,2,1] => 0101011 => [1,1,1,1,1,2] => 297
[5,7,4,6,8,3,2,1] => 0100111 => [1,1,2,3] => 145
[3,6,5,8,4,7,2,1] => 0101011 => [1,1,1,1,1,2] => 297
[2,6,8,4,5,7,3,1] => 0010011 => [2,1,2,2] => 180
[4,2,7,1,3,8,5,6] => 1010010 => [1,1,1,2,1,1] => 359
[4,2,5,1,3,8,6,7] => 1010010 => [1,1,1,2,1,1] => 359
[5,3,6,1,7,2,4,8] => 1010100 => [1,1,1,1,1,2] => 297
[3,7,1,2,5,8,6,4] => 0100011 => [1,1,3,2] => 171
[3,7,4,1,2,8,5,6] => 0110010 => [1,2,2,1,1] => 295
[7,5,1,3,4,8,6,2] => 1100011 => [2,3,2] => 126
[7,5,1,2,4,8,6,3] => 1100011 => [2,3,2] => 126
[6,4,2,3,7,1,5,8] => 1100100 => [2,2,1,2] => 180
[7,6,3,8,1,2,5,4] => 1101001 => [2,1,1,2,1] => 241
[7,4,2,3,8,1,6,5] => 1100101 => [2,2,1,1,1] => 255
[4,7,5,2,8,1,3,6] => 0110100 => [1,2,1,1,2] => 241
[8,2,6,3,7,1,4,5] => 1010100 => [1,1,1,1,1,2] => 297
[8,6,1,2,7,4,5,3] => 1100101 => [2,2,1,1,1] => 255
[8,4,7,1,2,3,6,5] => 1010001 => [1,1,1,3,1] => 219
[8,5,7,1,2,4,6,3] => 1010001 => [1,1,1,3,1] => 219
[8,5,7,1,3,4,6,2] => 1010001 => [1,1,1,3,1] => 219
[8,6,2,7,1,3,5,4] => 1101001 => [2,1,1,2,1] => 241
[3,8,5,6,1,2,4,7] => 0101000 => [1,1,1,1,3] => 165
[3,7,5,8,1,2,4,6] => 0101000 => [1,1,1,1,3] => 165
[7,6,4,8,1,3,5,2] => 1101001 => [2,1,1,2,1] => 241
[6,5,8,1,2,4,7,3] => 1010001 => [1,1,1,3,1] => 219
[3,6,8,1,2,5,7,4] => 0010001 => [2,1,3,1] => 157
[3,7,2,4,8,1,6,5] => 0100101 => [1,1,2,1,1,1] => 359
[4,6,3,8,1,2,5,7] => 0101000 => [1,1,1,1,3] => 165
[4,6,3,7,1,2,5,8] => 0101000 => [1,1,1,1,3] => 165
[4,1,7,8,2,3,6,5] => 1001001 => [1,2,1,2,1] => 281
[5,1,2,8,6,3,4,7] => 1001100 => [1,2,2,2] => 211
[5,3,8,1,6,2,4,7] => 1010100 => [1,1,1,1,1,2] => 297
[6,1,8,5,2,3,4,7] => 1011000 => [1,1,2,3] => 145
[6,1,7,5,2,3,4,8] => 1011000 => [1,1,2,3] => 145
[6,8,1,3,7,4,5,2] => 0100101 => [1,1,2,1,1,1] => 359
[7,2,8,1,6,3,4,5] => 1010100 => [1,1,1,1,1,2] => 297
[4,7,8,2,5,1,3,6] => 0010100 => [2,1,1,1,2] => 207
[6,8,2,7,1,4,5,3] => 0101001 => [1,1,1,1,2,1] => 345
[4,8,7,1,3,5,6,2] => 0110001 => [1,2,3,1] => 185
[3,8,7,1,2,4,6,5] => 0110001 => [1,2,3,1] => 185
[4,8,7,1,2,3,6,5] => 0110001 => [1,2,3,1] => 185
[5,8,7,1,2,4,6,3] => 0110001 => [1,2,3,1] => 185
[5,8,7,1,3,4,6,2] => 0110001 => [1,2,3,1] => 185
[7,1,8,6,2,3,5,4] => 1011001 => [1,1,2,2,1] => 295
[5,8,6,4,1,2,3,7] => 0111000 => [1,3,3] => 95
[7,8,4,1,2,5,3,6] => 0110010 => [1,2,2,1,1] => 295
[7,8,1,2,6,5,3,4] => 0100110 => [1,1,2,2,1] => 295
[1,4,8,2,7,5,3,6] => 0010110 => [2,1,1,2,1] => 241
[6,1,3,4,7,2,5,8] => 1000100 => [1,3,1,2] => 157
[7,8,2,1,6,3,5,4] => 0110101 => [1,2,1,1,1,1] => 345
[6,1,2,7,5,4,3,8] => 1001110 => [1,2,3,1] => 185
[1,2,8,7,5,4,3,6] => 0011110 => [2,4,1] => 81
[5,1,7,3,6,4,8,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,2,1,5,7,4,3,8] => 1100110 => [2,2,2,1] => 211
[6,2,3,7,4,1,5,8] => 1001100 => [1,2,2,2] => 211
[3,4,8,7,5,6,1,2] => 0011010 => [2,2,1,1,1] => 255
[2,3,8,7,4,1,5,6] => 0011100 => [2,3,2] => 126
[2,7,3,8,6,4,1,5] => 0101110 => [1,1,1,3,1] => 219
[1,8,3,7,6,4,5,2] => 0101101 => [1,1,1,2,1,1] => 359
[5,2,7,1,4,6,8,3] => 1010001 => [1,1,1,3,1] => 219
[4,6,7,5,2,1,8,3] => 0011101 => [2,3,1,1] => 171
[6,3,1,4,5,7,8,2] => 1100001 => [2,4,1] => 81
[5,3,1,4,6,2,7,8] => 1100100 => [2,2,1,2] => 180
[5,1,2,4,7,6,8,3] => 1000101 => [1,3,1,1,1] => 219
[5,7,4,1,2,6,3,8] => 0110010 => [1,2,2,1,1] => 295
[4,8,1,2,6,7,3,5] => 0100010 => [1,1,3,1,1] => 233
[4,1,7,8,2,6,3,5] => 1001010 => [1,2,1,1,1,1] => 345
[1,2,8,7,6,5,3,4] => 0011110 => [2,4,1] => 81
[3,1,2,4,6,8,7,5] => 1000011 => [1,4,2] => 81
[3,1,8,4,5,7,6,2] => 1010011 => [1,1,1,2,2] => 255
[3,2,8,5,4,7,1,6] => 1011010 => [1,1,2,1,1,1] => 359
[4,2,8,1,5,3,7,6] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,3,8,5,7,6,1,2] => 1010110 => [1,1,1,1,2,1] => 345
[4,8,2,1,6,3,7,5] => 0110101 => [1,2,1,1,1,1] => 345
[3,8,6,5,2,7,1,4] => 0111010 => [1,3,1,1,1] => 219
[3,8,5,6,1,7,4,2] => 0101011 => [1,1,1,1,1,2] => 297
[3,5,7,8,1,2,6,4] => 0001001 => [3,1,2,1] => 137
[3,7,8,5,2,1,6,4] => 0011101 => [2,3,1,1] => 171
[3,7,2,8,4,1,6,5] => 0101101 => [1,1,1,2,1,1] => 359
[2,8,1,7,4,6,5,3] => 0101011 => [1,1,1,1,1,2] => 297
[2,8,7,5,1,6,4,3] => 0111011 => [1,3,1,2] => 157
[2,8,6,7,5,1,4,3] => 0101101 => [1,1,1,2,1,1] => 359
[5,1,3,4,6,7,2,8] => 1000010 => [1,4,1,1] => 107
[1,3,4,8,7,5,2,6] => 0001110 => [3,3,1] => 95
[8,2,4,1,7,3,5,6] => 1010100 => [1,1,1,1,1,2] => 297
[8,6,1,4,2,3,7,5] => 1101001 => [2,1,1,2,1] => 241
[3,6,1,4,2,8,7,5] => 0101011 => [1,1,1,1,1,2] => 297
[1,6,8,4,3,7,2,5] => 0011010 => [2,2,1,1,1] => 255
[3,1,4,7,8,5,2,6] => 1000110 => [1,3,2,1] => 185
[6,1,7,4,3,8,2,5] => 1011010 => [1,1,2,1,1,1] => 359
[1,8,7,4,3,6,2,5] => 0111010 => [1,3,1,1,1] => 219
[7,4,1,3,8,2,6,5] => 1100101 => [2,2,1,1,1] => 255
[4,8,2,3,1,5,7,6] => 0101001 => [1,1,1,1,2,1] => 345
[4,8,6,2,1,3,7,5] => 0111001 => [1,3,2,1] => 185
[2,7,4,1,8,3,5,6] => 0110100 => [1,2,1,1,2] => 241
[1,7,8,4,2,3,6,5] => 0011001 => [2,2,2,1] => 211
[4,7,1,3,8,2,6,5] => 0100101 => [1,1,2,1,1,1] => 359
[8,7,1,3,4,2,6,5] => 1100101 => [2,2,1,1,1] => 255
[1,7,4,3,6,2,8,5] => 0110101 => [1,2,1,1,1,1] => 345
[3,8,6,4,5,2,1,7] => 0110110 => [1,2,1,2,1] => 281
[3,8,4,6,5,2,1,7] => 0101110 => [1,1,1,3,1] => 219
[2,4,3,7,5,8,1,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,4,7,3,6,2,8,5] => 0010101 => [2,1,1,1,1,1] => 297
[1,8,3,4,2,6,7,5] => 0101001 => [1,1,1,1,2,1] => 345
[6,4,1,3,7,2,8,5] => 1100101 => [2,2,1,1,1] => 255
[8,1,4,3,6,2,7,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,2,3,8,5,7,1,6] => 1001010 => [1,2,1,1,1,1] => 345
[2,8,5,7,3,4,1,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,8,2,6,4,3,1,7] => 0101110 => [1,1,1,3,1] => 219
[7,2,5,8,4,3,1,6] => 1001110 => [1,2,3,1] => 185
[4,2,3,5,8,7,1,6] => 1000110 => [1,3,2,1] => 185
[8,2,3,5,4,7,1,6] => 1001010 => [1,2,1,1,1,1] => 345
[6,1,8,3,4,2,7,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[1,8,6,4,2,3,7,5] => 0111001 => [1,3,2,1] => 185
[3,8,4,5,6,2,1,7] => 0100110 => [1,1,2,2,1] => 295
[2,4,3,5,7,8,1,6] => 0100010 => [1,1,3,1,1] => 233
[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] => 207
[7,3,8,1,2,6,4,5] => 1010010 => [1,1,1,2,1,1] => 359
[7,1,4,5,3,2,6,8] => 1001100 => [1,2,2,2] => 211
[1,8,4,2,6,5,3,7] => 0110110 => [1,2,1,2,1] => 281
[5,1,4,8,6,3,2,7] => 1001110 => [1,2,3,1] => 185
[5,3,1,8,4,7,2,6] => 1101010 => [2,1,1,1,1,1] => 297
[4,3,8,1,5,7,2,6] => 1010010 => [1,1,1,2,1,1] => 359
[6,3,1,2,5,7,4,8] => 1100010 => [2,3,1,1] => 171
[7,1,4,2,6,5,3,8] => 1010110 => [1,1,1,1,2,1] => 345
[3,8,4,1,6,5,2,7] => 0110110 => [1,2,1,2,1] => 281
[7,5,3,6,4,8,2,1] => 1101011 => [2,1,1,1,2] => 207
[7,3,6,4,5,8,2,1] => 1010011 => [1,1,1,2,2] => 255
[8,7,2,4,5,1,6,3] => 1100101 => [2,2,1,1,1] => 255
[7,1,5,4,8,6,3,2] => 1010111 => [1,1,1,1,3] => 165
[2,7,5,4,8,6,3,1] => 0110111 => [1,2,1,3] => 137
[2,1,8,7,5,3,6,4] => 1011101 => [1,1,3,1,1] => 233
[5,8,3,7,4,1,6,2] => 0101101 => [1,1,1,2,1,1] => 359
[8,1,7,4,2,6,5,3] => 1011011 => [1,1,2,1,2] => 252
[5,6,3,1,8,4,7,2] => 0110101 => [1,2,1,1,1,1] => 345
[5,7,1,4,8,6,3,2] => 0100111 => [1,1,2,3] => 145
[3,5,7,4,8,6,2,1] => 0010111 => [2,1,1,3] => 117
[2,6,7,4,5,8,3,1] => 0010011 => [2,1,2,2] => 180
[6,1,7,4,5,8,3,2] => 1010011 => [1,1,1,2,2] => 255
[5,3,7,4,8,6,2,1] => 1010111 => [1,1,1,1,3] => 165
[8,5,3,6,1,4,7,2] => 1101001 => [2,1,1,2,1] => 241
[5,4,3,6,8,2,7,1] => 1100101 => [2,2,1,1,1] => 255
[6,5,3,7,4,8,2,1] => 1101011 => [2,1,1,1,2] => 207
[7,5,8,4,1,6,3,2] => 1011011 => [1,1,2,1,2] => 252
[2,7,8,4,5,1,6,3] => 0010101 => [2,1,1,1,1,1] => 297
[5,7,3,8,4,1,6,2] => 0101101 => [1,1,1,2,1,1] => 359
[5,6,3,8,1,4,7,2] => 0101001 => [1,1,1,1,2,1] => 345
[8,4,1,2,5,6,7,3] => 1100001 => [2,4,1] => 81
[3,7,8,4,1,6,5,2] => 0011011 => [2,2,1,2] => 180
[6,8,3,1,2,5,7,4] => 0110001 => [1,2,3,1] => 185
[8,7,1,4,5,2,6,3] => 1100101 => [2,2,1,1,1] => 255
[8,7,3,1,5,4,2,6] => 1110110 => [3,1,2,1] => 137
[3,6,2,1,5,4,8,7] => 0110101 => [1,2,1,1,1,1] => 345
[5,4,2,6,1,3,8,7] => 1101001 => [2,1,1,2,1] => 241
[3,2,6,5,1,4,8,7] => 1011001 => [1,1,2,2,1] => 295
[2,5,8,1,7,4,3,6] => 0010110 => [2,1,1,2,1] => 241
[6,8,2,7,4,3,1,5] => 0101110 => [1,1,1,3,1] => 219
[6,8,2,3,7,5,1,4] => 0100110 => [1,1,2,2,1] => 295
[7,6,2,5,4,8,1,3] => 1101010 => [2,1,1,1,1,1] => 297
[2,6,5,1,8,4,3,7] => 0110110 => [1,2,1,2,1] => 281
[4,2,7,3,1,8,5,6] => 1011010 => [1,1,2,1,1,1] => 359
[4,2,3,7,1,5,8,6] => 1001001 => [1,2,1,2,1] => 281
[5,2,7,3,8,6,1,4] => 1010110 => [1,1,1,1,2,1] => 345
[2,1,5,8,4,3,7,6] => 1001101 => [1,2,2,1,1] => 295
[5,8,4,2,6,7,1,3] => 0110010 => [1,2,2,1,1] => 295
[3,2,4,8,1,5,7,6] => 1001001 => [1,2,1,2,1] => 281
[2,4,8,3,1,7,5,6] => 0011010 => [2,2,1,1,1] => 255
[4,8,3,2,1,7,6,5] => 0111011 => [1,3,1,2] => 157
[4,1,3,7,2,6,8,5] => 1001001 => [1,2,1,2,1] => 281
[3,4,8,2,1,6,5,7] => 0011010 => [2,2,1,1,1] => 255
[6,8,3,7,2,1,5,4] => 0101101 => [1,1,1,2,1,1] => 359
[3,5,8,1,7,2,6,4] => 0010101 => [2,1,1,1,1,1] => 297
[5,1,7,4,6,8,3,2] => 1010011 => [1,1,1,2,2] => 255
[7,6,4,8,1,5,3,2] => 1101011 => [2,1,1,1,2] => 207
[5,3,7,1,8,2,6,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[2,7,6,3,8,1,4,5] => 0110100 => [1,2,1,1,2] => 241
[2,1,7,6,4,8,3,5] => 1011010 => [1,1,2,1,1,1] => 359
[2,1,5,4,8,7,3,6] => 1010110 => [1,1,1,1,2,1] => 345
[5,4,8,7,2,6,1,3] => 1011010 => [1,1,2,1,1,1] => 359
[2,4,3,8,7,1,5,6] => 0101100 => [1,1,1,2,2] => 255
[3,4,1,8,6,2,7,5] => 0101101 => [1,1,1,2,1,1] => 359
[3,8,5,4,2,1,7,6] => 0111101 => [1,4,1,1] => 107
[4,8,6,5,2,7,1,3] => 0111010 => [1,3,1,1,1] => 219
[3,2,8,7,5,4,1,6] => 1011110 => [1,1,4,1] => 107
[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] => 252
[6,5,2,1,3,4,8,7] => 1110001 => [3,3,1] => 95
[8,5,2,7,3,1,4,6] => 1101100 => [2,1,2,2] => 180
[7,3,6,5,2,8,4,1] => 1011011 => [1,1,2,1,2] => 252
[7,6,2,3,4,8,5,1] => 1100011 => [2,3,2] => 126
[8,7,5,3,1,4,2,6] => 1111010 => [4,1,1,1] => 75
[7,1,5,3,8,4,6,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,7,2,3,5,8,4,1] => 0100011 => [1,1,3,2] => 171
[3,7,6,4,2,8,5,1] => 0111011 => [1,3,1,2] => 157
[2,1,7,6,4,8,5,3] => 1011011 => [1,1,2,1,2] => 252
[2,1,8,7,4,3,5,6] => 1011100 => [1,1,3,2] => 171
[5,8,3,7,2,1,4,6] => 0101100 => [1,1,1,2,2] => 255
[3,8,7,4,2,1,5,6] => 0111100 => [1,4,2] => 81
[7,8,2,3,5,1,4,6] => 0100100 => [1,1,2,1,2] => 252
[2,8,6,3,1,4,7,5] => 0111001 => [1,3,2,1] => 185
[8,1,6,3,2,4,5,7] => 1011000 => [1,1,2,3] => 145
[5,7,1,4,8,3,6,2] => 0100101 => [1,1,2,1,1,1] => 359
[6,1,7,5,4,8,3,2] => 1011011 => [1,1,2,1,2] => 252
[6,3,7,5,8,4,2,1] => 1010111 => [1,1,1,1,3] => 165
[7,6,1,5,8,3,4,2] => 1100101 => [2,2,1,1,1] => 255
[8,6,7,5,1,3,2,4] => 1011010 => [1,1,2,1,1,1] => 359
[8,5,2,6,1,7,3,4] => 1101010 => [2,1,1,1,1,1] => 297
[5,4,2,6,8,3,7,1] => 1100101 => [2,2,1,1,1] => 255
[6,5,2,8,1,4,3,7] => 1101010 => [2,1,1,1,1,1] => 297
[7,4,2,8,1,3,6,5] => 1101001 => [2,1,1,2,1] => 241
[2,7,8,4,5,1,3,6] => 0010100 => [2,1,1,1,2] => 207
[5,7,3,8,4,1,2,6] => 0101100 => [1,1,1,2,2] => 255
[2,4,8,1,5,6,3,7] => 0010010 => [2,1,2,1,1] => 252
[3,4,8,1,5,2,7,6] => 0010101 => [2,1,1,1,1,1] => 297
[3,6,8,4,1,2,7,5] => 0011001 => [2,2,2,1] => 211
[4,8,1,2,5,3,6,7] => 0100100 => [1,1,2,1,2] => 252
[8,1,2,4,3,5,6,7] => 1001000 => [1,2,1,3] => 137
[2,3,4,6,5,7,8,9,10,1] => 000100001 => [3,1,4,1] => 709
[2,3,5,6,4,7,8,9,1] => 00010001 => [3,1,3,1] => 332
[2,3,6,4,5,7,8,9,1] => 00100001 => [2,1,4,1] => 303
[9,1,2,4,5,3,6,7,8] => 10001000 => [1,3,1,3] => 332
[10,1,2,3,5,4,6,7,8,9] => 100010000 => [1,3,1,4] => 626
[5,8,7,4,6,3,2,1] => 0110111 => [1,2,1,3] => 137
[4,8,7,6,3,5,2,1] => 0111011 => [1,3,1,2] => 157
[3,8,7,6,5,2,4,1] => 0111101 => [1,4,1,1] => 107
[7,9,6,8,5,4,3,2,1] => 01011111 => [1,1,1,5] => 110
[5,8,4,7,6,3,2,1] => 0101111 => [1,1,1,4] => 75
[6,9,8,5,7,4,3,2,1] => 01101111 => [1,2,1,4] => 235
[6,8,5,4,7,3,2,1] => 0110111 => [1,2,1,3] => 137
[5,9,8,7,4,6,3,2,1] => 01110111 => [1,3,1,3] => 332
[3,8,7,6,2,5,4,1] => 0111011 => [1,3,1,2] => 157
[4,9,8,7,6,3,5,2,1] => 01111011 => [1,4,1,2] => 303
[4,8,7,6,3,2,5,1] => 0111101 => [1,4,1,1] => 107
[3,9,8,7,6,5,2,4,1] => 01111101 => [1,5,1,1] => 170
[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] => 1220
[8,6,9,4,7,5,2,3,1] => 10101101 => [1,1,1,1,2,1,1] => 1220
[8,6,9,4,7,2,5,3,1] => 10101011 => [1,1,1,1,1,1,2] => 1001
[8,6,9,4,7,3,5,1,2] => 10101010 => [1,1,1,1,1,1,1,1] => 1430
[8,6,9,5,7,3,4,1,2] => 10101010 => [1,1,1,1,1,1,1,1] => 1430
[8,7,9,5,6,3,4,1,2] => 10101010 => [1,1,1,1,1,1,1,1] => 1430
[9,7,10,8,5,6,3,4,1,2] => 101101010 => [1,1,2,1,1,1,1,1] => 4202
[8,6,4,9,7,5,2,3,1] => 11011101 => [2,1,3,1,1] => 609
[9,7,10,5,8,6,3,4,1,2] => 101011010 => [1,1,1,1,2,1,1,1] => 4274
[8,6,9,4,2,7,5,3,1] => 10110111 => [1,1,2,1,3] => 502
[9,7,10,5,8,3,6,4,1,2] => 101010110 => [1,1,1,1,1,1,2,1] => 4004
[8,6,9,4,7,2,1,5,3] => 10101101 => [1,1,1,1,2,1,1] => 1220
[7,5,8,4,6,3,1,2] => 1010110 => [1,1,1,1,2,1] => 345
[8,6,9,4,7,3,5,2,1] => 10101011 => [1,1,1,1,1,1,2] => 1001
[9,7,10,5,8,3,6,2,4,1] => 101010101 => [1,1,1,1,1,1,1,1,1] => 4862
[8,6,9,5,7,2,4,1,3] => 10101010 => [1,1,1,1,1,1,1,1] => 1430
[9,7,10,5,8,4,6,2,3,1] => 101010101 => [1,1,1,1,1,1,1,1,1] => 4862
[7,6,8,2,5,1,4,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,7,9,4,6,3,5,1,2] => 10101010 => [1,1,1,1,1,1,1,1] => 1430
[9,7,10,6,8,4,5,2,3,1] => 101010101 => [1,1,1,1,1,1,1,1,1] => 4862
[9,6,8,5,7,3,4,1,2] => 10101010 => [1,1,1,1,1,1,1,1] => 1430
[9,8,10,6,7,4,5,2,3,1] => 101010101 => [1,1,1,1,1,1,1,1,1] => 4862
[3,5,2,4,7,6,1,8] => 0100110 => [1,1,2,2,1] => 295
[3,5,4,7,2,6,1,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,5,4,7,6,1,2,8] => 0101100 => [1,1,1,2,2] => 255
[3,5,4,7,6,1,8,2] => 0101101 => [1,1,1,2,1,1] => 359
[3,5,7,4,6,1,8,2] => 0010101 => [2,1,1,1,1,1] => 297
[3,5,7,4,6,1,2,8] => 0010100 => [2,1,1,1,2] => 207
[3,5,7,4,6,2,1,8] => 0010110 => [2,1,1,2,1] => 241
[3,2,5,7,4,6,1,8] => 1001010 => [1,2,1,1,1,1] => 345
[3,5,2,7,6,4,1,8] => 0101110 => [1,1,1,3,1] => 219
[3,5,7,2,6,4,1,8] => 0010110 => [2,1,1,2,1] => 241
[5,3,7,6,2,4,1,8] => 1011010 => [1,1,2,1,1,1] => 359
[5,3,7,6,1,2,8,4] => 1011001 => [1,1,2,2,1] => 295
[5,3,7,6,1,4,2,8] => 1011010 => [1,1,2,1,1,1] => 359
[5,3,7,6,4,1,2,8] => 1011100 => [1,1,3,2] => 171
[3,5,7,2,6,1,4,8] => 0010100 => [2,1,1,1,2] => 207
[3,5,2,7,6,1,4,8] => 0101100 => [1,1,1,2,2] => 255
[5,3,7,6,4,1,8,2] => 1011101 => [1,1,3,1,1] => 233
[3,7,5,4,1,8,2,6] => 0111010 => [1,3,1,1,1] => 219
[3,7,5,4,1,8,6,2] => 0111011 => [1,3,1,2] => 157
[3,7,5,1,4,8,6,2] => 0110011 => [1,2,2,2] => 211
[3,7,5,1,4,8,2,6] => 0110010 => [1,2,2,1,1] => 295
[3,5,7,1,2,6,8,4] => 0010001 => [2,1,3,1] => 157
[3,5,7,2,1,6,8,4] => 0011001 => [2,2,2,1] => 211
[3,5,2,7,1,6,4,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,5,7,2,1,6,4,8] => 0011010 => [2,2,1,1,1] => 255
[5,3,7,1,6,2,4,8] => 1010100 => [1,1,1,1,1,2] => 297
[3,5,7,1,4,6,8,2] => 0010001 => [2,1,3,1] => 157
[3,5,7,1,4,6,2,8] => 0010010 => [2,1,2,1,1] => 252
[3,5,7,1,4,2,6,8] => 0010100 => [2,1,1,1,2] => 207
[3,5,7,2,1,4,6,8] => 0011000 => [2,2,3] => 105
[3,5,2,7,1,4,6,8] => 0101000 => [1,1,1,1,3] => 165
[3,2,5,7,4,1,6,8] => 1001100 => [1,2,2,2] => 211
[3,5,2,7,4,1,6,8] => 0101100 => [1,1,1,2,2] => 255
[3,5,7,4,2,1,6,8] => 0011100 => [2,3,2] => 126
[3,5,7,4,1,2,6,8] => 0011000 => [2,2,3] => 105
[3,5,4,7,1,6,8,2] => 0101001 => [1,1,1,1,2,1] => 345
[3,5,4,7,1,2,6,8] => 0101000 => [1,1,1,1,3] => 165
[3,5,4,7,2,1,6,8] => 0101100 => [1,1,1,2,2] => 255
[3,5,4,2,7,1,6,8] => 0110100 => [1,2,1,1,2] => 241
[3,2,5,4,7,1,6,8] => 1010100 => [1,1,1,1,1,2] => 297
[3,5,4,7,2,1,8,6] => 0101101 => [1,1,1,2,1,1] => 359
[3,5,4,7,1,2,8,6] => 0101001 => [1,1,1,1,2,1] => 345
[5,7,6,3,1,8,4,2] => 0111011 => [1,3,1,2] => 157
[5,7,6,3,1,8,2,4] => 0111010 => [1,3,1,1,1] => 219
[3,5,7,4,1,2,8,6] => 0011001 => [2,2,2,1] => 211
[3,5,7,4,2,1,8,6] => 0011101 => [2,3,1,1] => 171
[3,2,5,7,4,1,8,6] => 1001101 => [1,2,2,1,1] => 295
[3,2,5,7,1,4,8,6] => 1001001 => [1,2,1,2,1] => 281
[3,5,2,7,1,4,8,6] => 0101001 => [1,1,1,1,2,1] => 345
[3,5,7,2,1,4,8,6] => 0011001 => [2,2,2,1] => 211
[3,5,7,1,4,2,8,6] => 0010101 => [2,1,1,1,1,1] => 297
[3,7,5,2,1,8,6,4] => 0111011 => [1,3,1,2] => 157
[3,7,2,5,1,8,6,4] => 0101011 => [1,1,1,1,1,2] => 297
[3,2,7,5,1,8,6,4] => 1011011 => [1,1,2,1,2] => 252
[3,2,7,5,1,8,4,6] => 1011010 => [1,1,2,1,1,1] => 359
[3,7,2,5,1,8,4,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,7,5,2,1,8,4,6] => 0111010 => [1,3,1,1,1] => 219
[6,1,2,5,7,4,8,3] => 1000101 => [1,3,1,1,1] => 219
[6,3,2,7,4,1,8,5] => 1101101 => [2,1,2,1,1] => 252
[2,1,7,5,8,4,6,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[2,7,3,6,8,4,1,5] => 0100110 => [1,1,2,2,1] => 295
[2,1,8,3,4,7,5,6] => 1010010 => [1,1,1,2,1,1] => 359
[5,1,7,2,4,8,3,6] => 1010010 => [1,1,1,2,1,1] => 359
[3,4,2,6,7,1,8,5] => 0100101 => [1,1,2,1,1,1] => 359
[3,5,8,7,2,1,6,4] => 0011101 => [2,3,1,1] => 171
[1,3,4,5,6,7,9,2,8] => 00000010 => [6,1,1] => 35
[2,3,4,5,6,7,1,9,8] => 00000101 => [5,1,1,1] => 110
[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] => 170
[5,8,3,4,1,7,6,2] => 0101011 => [1,1,1,1,1,2] => 297
[5,8,7,2,4,1,6,3] => 0110101 => [1,2,1,1,1,1] => 345
[3,8,6,4,1,7,5,2] => 0111011 => [1,3,1,2] => 157
[4,3,5,6,8,1,7,2] => 1000101 => [1,3,1,1,1] => 219
[3,7,6,4,1,8,5,2] => 0111011 => [1,3,1,2] => 157
[3,7,4,1,8,6,5,2] => 0110111 => [1,2,1,3] => 137
[3,8,4,1,7,6,5,2] => 0110111 => [1,2,1,3] => 137
[3,2,7,6,1,5,4,8] => 1011010 => [1,1,2,1,1,1] => 359
[3,2,8,7,6,1,5,4] => 1011101 => [1,1,3,1,1] => 233
[5,7,8,2,4,1,6,3] => 0010101 => [2,1,1,1,1,1] => 297
[4,2,5,8,1,6,7,3] => 1001001 => [1,2,1,2,1] => 281
[4,2,5,8,1,7,3,6] => 1001010 => [1,2,1,1,1,1] => 345
[5,8,2,4,1,6,3,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[8,4,2,6,5,1,3,7] => 1101100 => [2,1,2,2] => 180
[3,2,6,8,1,5,4,7] => 1001010 => [1,2,1,1,1,1] => 345
[8,3,2,5,6,1,4,7] => 1100100 => [2,2,1,2] => 180
[3,2,8,6,7,1,5,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[3,2,6,8,7,1,5,4] => 1001101 => [1,2,2,1,1] => 295
[3,2,6,7,1,5,4,8] => 1001010 => [1,2,1,1,1,1] => 345
[8,7,3,2,5,6,1,4] => 1110010 => [3,2,1,1] => 145
[7,2,8,1,5,3,6,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,4,2,7,5,1,3,6] => 1101100 => [2,1,2,2] => 180
[7,4,2,8,5,1,3,6] => 1101100 => [2,1,2,2] => 180
[7,2,4,1,8,3,6,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[3,2,8,5,7,1,4,6] => 1010100 => [1,1,1,1,1,2] => 297
[2,6,5,7,1,8,3,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,5,1,8,7,4,3,6] => 0101110 => [1,1,1,3,1] => 219
[8,1,4,6,3,5,2,7] => 1001010 => [1,2,1,1,1,1] => 345
[8,3,5,4,1,6,2,7] => 1011010 => [1,1,2,1,1,1] => 359
[8,6,3,4,1,5,2,7] => 1101010 => [2,1,1,1,1,1] => 297
[5,4,7,6,8,2,3,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,1,8,2,3,7,6,5] => 1010011 => [1,1,1,2,2] => 255
[2,1,8,5,3,4,7,6] => 1011001 => [1,1,2,2,1] => 295
[5,2,4,6,8,7,3,1] => 1000111 => [1,3,3] => 95
[1,6,8,3,4,5,7,2] => 0010001 => [2,1,3,1] => 157
[5,7,4,8,6,1,3,2] => 0101101 => [1,1,1,2,1,1] => 359
[5,4,2,6,7,8,1,3] => 1100010 => [2,3,1,1] => 171
[6,4,2,7,3,5,8,1] => 1101001 => [2,1,1,2,1] => 241
[7,4,1,8,3,5,6,2] => 1101001 => [2,1,1,2,1] => 241
[6,5,4,8,7,3,1,2] => 1101110 => [2,1,3,1] => 157
[8,7,4,2,1,3,6,5] => 1111001 => [4,2,1] => 65
[8,7,1,3,2,5,6,4] => 1101001 => [2,1,1,2,1] => 241
[6,8,2,3,1,7,5,4] => 0101011 => [1,1,1,1,1,2] => 297
[7,4,3,2,6,8,5,1] => 1110011 => [3,2,2] => 105
[2,7,4,3,8,5,6,1] => 0110101 => [1,2,1,1,1,1] => 345
[8,3,7,2,1,5,6,4] => 1011001 => [1,1,2,2,1] => 295
[5,7,8,2,4,3,1,6] => 0010110 => [2,1,1,2,1] => 241
[8,4,7,3,2,6,1,5] => 1011010 => [1,1,2,1,1,1] => 359
[8,3,1,6,7,4,2,5] => 1100110 => [2,2,2,1] => 211
[3,2,5,7,4,8,1,6] => 1001010 => [1,2,1,1,1,1] => 345
[8,2,7,3,4,1,5,6] => 1010100 => [1,1,1,1,1,2] => 297
[7,1,6,3,5,8,2,4] => 1010010 => [1,1,1,2,1,1] => 359
[2,8,5,6,7,1,4,3] => 0100101 => [1,1,2,1,1,1] => 359
[1,5,2,7,8,6,4,3] => 0100111 => [1,1,2,3] => 145
[2,6,8,5,1,4,7,3] => 0011001 => [2,2,2,1] => 211
[1,4,2,8,6,5,7,3] => 0101101 => [1,1,1,2,1,1] => 359
[3,5,1,6,8,7,2,4] => 0100110 => [1,1,2,2,1] => 295
[5,7,6,2,1,3,8,4] => 0111001 => [1,3,2,1] => 185
[2,5,8,7,4,1,6,3] => 0011101 => [2,3,1,1] => 171
[4,1,7,5,2,6,8,3] => 1011001 => [1,1,2,2,1] => 295
[7,6,2,4,5,1,8,3] => 1100101 => [2,2,1,1,1] => 255
[7,3,4,2,5,8,6,1] => 1010011 => [1,1,1,2,2] => 255
[8,7,4,2,5,1,6,3] => 1110101 => [3,1,1,1,1] => 165
[8,1,4,5,2,6,7,3] => 1001001 => [1,2,1,2,1] => 281
[5,2,4,8,6,7,1,3] => 1001010 => [1,2,1,1,1,1] => 345
[8,5,6,2,1,3,7,4] => 1011001 => [1,1,2,2,1] => 295
[4,2,1,5,6,7,8,3] => 1100001 => [2,4,1] => 81
[3,4,6,5,1,7,8,2] => 0011001 => [2,2,2,1] => 211
[7,3,5,2,4,6,1,8] => 1010010 => [1,1,1,2,1,1] => 359
[5,3,7,2,4,6,1,8] => 1010010 => [1,1,1,2,1,1] => 359
[3,7,5,2,4,6,1,8] => 0110010 => [1,2,2,1,1] => 295
[5,7,3,2,4,6,1,8] => 0110010 => [1,2,2,1,1] => 295
[1,5,3,2,4,7,6,8] => 0110010 => [1,2,2,1,1] => 295
[1,5,3,2,7,4,6,8] => 0110100 => [1,2,1,1,2] => 241
[5,7,3,2,1,4,6,8] => 0111000 => [1,3,3] => 95
[5,7,3,2,4,1,6,8] => 0110100 => [1,2,1,1,2] => 241
[3,7,2,5,4,1,6,8] => 0101100 => [1,1,1,2,2] => 255
[5,1,3,2,4,7,6,8] => 1010010 => [1,1,1,2,1,1] => 359
[5,1,3,2,7,4,6,8] => 1010100 => [1,1,1,1,1,2] => 297
[7,1,3,2,5,4,6,8] => 1010100 => [1,1,1,1,1,2] => 297
[1,7,3,2,5,4,6,8] => 0110100 => [1,2,1,1,2] => 241
[7,1,3,5,2,4,6,8] => 1001000 => [1,2,1,3] => 137
[5,1,3,7,2,4,6,8] => 1001000 => [1,2,1,3] => 137
[3,2,7,5,1,4,6,8] => 1011000 => [1,1,2,3] => 145
[3,7,5,1,2,4,6,8] => 0110000 => [1,2,4] => 65
[5,7,3,1,2,4,6,8] => 0110000 => [1,2,4] => 65
[1,5,3,7,2,4,6,8] => 0101000 => [1,1,1,1,3] => 165
[5,3,2,7,4,1,6,8] => 1101100 => [2,1,2,2] => 180
[5,3,2,4,7,1,6,8] => 1100100 => [2,2,1,2] => 180
[5,3,2,1,4,7,6,8] => 1110010 => [3,2,1,1] => 145
[5,3,2,1,7,4,6,8] => 1110100 => [3,1,1,2] => 117
[1,3,2,7,5,4,6,8] => 0101100 => [1,1,1,2,2] => 255
[1,3,7,2,5,4,6,8] => 0010100 => [2,1,1,1,2] => 207
[7,3,1,2,5,4,6,8] => 1100100 => [2,2,1,2] => 180
[5,3,1,2,7,4,6,8] => 1100100 => [2,2,1,2] => 180
[5,3,1,2,4,7,6,8] => 1100010 => [2,3,1,1] => 171
[3,2,5,1,4,7,6,8] => 1010010 => [1,1,1,2,1,1] => 359
[7,3,1,5,2,4,6,8] => 1101000 => [2,1,1,3] => 117
[1,3,7,5,2,4,6,8] => 0011000 => [2,2,3] => 105
[7,5,1,3,2,4,6,8] => 1101000 => [2,1,1,3] => 117
[5,7,1,3,2,4,6,8] => 0101000 => [1,1,1,1,3] => 165
[3,7,1,5,2,4,6,8] => 0101000 => [1,1,1,1,3] => 165
[3,7,1,2,5,4,6,8] => 0100100 => [1,1,2,1,2] => 252
[3,7,2,1,5,4,6,8] => 0110100 => [1,2,1,1,2] => 241
[3,2,1,7,5,4,6,8] => 1101100 => [2,1,2,2] => 180
[3,1,2,7,5,4,6,8] => 1001100 => [1,2,2,2] => 211
[3,1,7,2,5,4,6,8] => 1010100 => [1,1,1,1,1,2] => 297
[3,1,7,5,2,4,6,8] => 1011000 => [1,1,2,3] => 145
[7,1,5,3,2,4,6,8] => 1011000 => [1,1,2,3] => 145
[1,7,5,3,2,4,6,8] => 0111000 => [1,3,3] => 95
[1,2,3,4,5,7,9,6,8] => 00000010 => [6,1,1] => 35
[1,2,3,4,6,9,5,7,8] => 00000100 => [5,1,2] => 83
[1,2,3,5,9,4,6,7,8] => 00001000 => [4,1,3] => 125
[1,2,4,9,3,5,6,7,8] => 00010000 => [3,1,4] => 125
[1,3,9,2,4,5,6,7,8] => 00100000 => [2,1,5] => 83
[1,9,8,7,6,2,5,4,3] => 01111011 => [1,4,1,2] => 303
[2,9,8,7,1,6,5,4,3] => 01110111 => [1,3,1,3] => 332
[1,9,8,2,7,6,5,4,3] => 01101111 => [1,2,1,4] => 235
[1,9,2,8,7,6,5,4,3] => 01011111 => [1,1,1,5] => 110
[3,9,8,7,6,5,2,1,4] => 01111110 => [1,6,1] => 50
[1,10,9,8,7,6,5,2,4,3] => 011111101 => [1,6,1,1] => 254
[4,9,8,7,6,1,2,5,3] => 01111001 => [1,4,2,1] => 358
[1,10,9,8,7,6,2,5,4,3] => 011111011 => [1,5,1,2] => 534
[1,8,7,4,2,6,5,3] => 0111011 => [1,3,1,2] => 157
[5,9,8,7,1,2,6,4,3] => 01110011 => [1,3,2,2] => 500
[2,10,9,8,7,1,6,5,4,3] => 011110111 => [1,4,1,3] => 709
[2,8,5,1,7,6,4,3] => 0110111 => [1,2,1,3] => 137
[6,9,8,2,1,7,5,4,3] => 01110111 => [1,3,1,3] => 332
[1,10,9,8,2,7,6,5,4,3] => 011101111 => [1,3,1,4] => 626
[6,8,5,1,2,7,4,3] => 0110011 => [1,2,2,2] => 211
[7,9,1,2,8,6,5,4,3] => 01001111 => [1,1,2,4] => 250
[1,10,9,2,8,7,6,5,4,3] => 011011111 => [1,2,1,5] => 375
[8,1,2,9,7,6,5,4,3] => 10011111 => [1,2,5] => 98
[2,10,1,9,8,7,6,5,4,3] => 010111111 => [1,1,1,6] => 154
[3,10,9,8,7,6,5,2,1,4] => 011111110 => [1,7,1] => 65
[1,9,8,7,6,3,2,5,4] => 01111101 => [1,5,1,1] => 170
[4,10,9,8,7,6,1,2,5,3] => 011111001 => [1,5,2,1] => 630
[1,9,8,7,4,2,6,5,3] => 01111011 => [1,4,1,2] => 303
[4,9,8,7,6,3,2,1,5] => 01111110 => [1,6,1] => 50
[5,10,9,8,7,1,2,6,4,3] => 011110011 => [1,4,2,2] => 1041
[2,8,1,4,7,6,5,3] => 0100111 => [1,1,2,3] => 145
[2,9,8,5,1,7,6,4,3] => 01110111 => [1,3,1,3] => 332
[5,9,8,7,4,1,2,6,3] => 01111001 => [1,4,2,1] => 358
[6,10,9,8,2,1,7,5,4,3] => 011110111 => [1,4,1,3] => 709
[1,9,6,2,8,7,5,4,3] => 01101111 => [1,2,1,4] => 235
[1,8,7,4,3,2,6,5] => 0111101 => [1,4,1,1] => 107
[6,9,8,5,1,2,7,4,3] => 01110011 => [1,3,2,2] => 500
[7,10,9,1,2,8,6,5,4,3] => 011001111 => [1,2,2,4] => 801
[1,7,2,9,8,6,5,4,3] => 01011111 => [1,1,1,5] => 110
[1,8,5,4,2,7,6,3] => 0111011 => [1,3,1,2] => 157
[7,9,6,2,1,8,5,4,3] => 01110111 => [1,3,1,3] => 332
[8,10,1,2,9,7,6,5,4,3] => 010011111 => [1,1,2,5] => 399
[8,7,1,2,9,6,5,4,3] => 11001111 => [2,2,4] => 185
[9,2,1,10,8,7,6,5,4,3] => 110111111 => [2,1,6] => 119
[7,5,3,4,2,8,1,6] => 1101010 => [2,1,1,1,1,1] => 297
[8,5,3,6,2,4,7,1] => 1101001 => [2,1,1,2,1] => 241
[8,5,6,3,7,4,2,1] => 1010111 => [1,1,1,1,3] => 165
[8,5,6,2,7,4,3,1] => 1010111 => [1,1,1,1,3] => 165
[8,7,6,3,4,1,5,2] => 1110101 => [3,1,1,1,1] => 165
[1,7,2,3,6,8,5,4] => 0100011 => [1,1,3,2] => 171
[3,5,6,4,8,2,7,1] => 0010101 => [2,1,1,1,1,1] => 297
[3,5,1,4,8,2,7,6] => 0100101 => [1,1,2,1,1,1] => 359
[1,7,5,4,8,2,6,3] => 0110101 => [1,2,1,1,1,1] => 345
[3,7,5,1,6,4,8,2] => 0110101 => [1,2,1,1,1,1] => 345
[2,7,5,4,8,1,3,6] => 0110100 => [1,2,1,1,2] => 241
[2,7,5,4,8,6,1,3] => 0110110 => [1,2,1,2,1] => 281
[1,7,5,4,8,6,3,2] => 0110111 => [1,2,1,3] => 137
[2,5,1,4,8,7,3,6] => 0100110 => [1,1,2,2,1] => 295
[3,6,4,2,8,7,1,5] => 0110110 => [1,2,1,2,1] => 281
[3,5,2,4,8,1,6,7] => 0100100 => [1,1,2,1,2] => 252
[3,5,6,4,8,1,2,7] => 0010100 => [2,1,1,1,2] => 207
[1,5,6,4,8,7,2,3] => 0010110 => [2,1,1,2,1] => 241
[3,6,4,1,8,7,2,5] => 0110110 => [1,2,1,2,1] => 281
[3,6,4,5,8,7,2,1] => 0100111 => [1,1,2,3] => 145
[1,6,4,3,8,5,2,7] => 0110110 => [1,2,1,2,1] => 281
[7,1,3,4,5,8,2,6] => 1000010 => [1,4,1,1] => 107
[7,6,1,4,5,3,8,2] => 1100101 => [2,2,1,1,1] => 255
[7,6,1,3,5,4,8,2] => 1100101 => [2,2,1,1,1] => 255
[7,1,3,2,5,8,4,6] => 1010010 => [1,1,1,2,1,1] => 359
[1,6,4,2,8,5,3,7] => 0110110 => [1,2,1,2,1] => 281
[7,6,5,8,2,4,3,1] => 1101011 => [2,1,1,1,2] => 207
[7,6,5,8,3,1,4,2] => 1101101 => [2,1,2,1,1] => 252
[2,6,4,3,8,1,7,5] => 0110101 => [1,2,1,1,1,1] => 345
[2,6,4,3,8,5,7,1] => 0110101 => [1,2,1,1,1,1] => 345
[7,2,3,1,5,8,6,4] => 1010011 => [1,1,1,2,2] => 255
[7,1,5,6,3,8,4,2] => 1001011 => [1,2,1,1,2] => 241
[7,3,6,5,1,4,8,2] => 1011001 => [1,1,2,2,1] => 295
[7,2,6,5,3,8,1,4] => 1011010 => [1,1,2,1,1,1] => 359
[7,2,3,1,4,8,6,5] => 1010011 => [1,1,1,2,2] => 255
[7,2,3,5,4,8,6,1] => 1001011 => [1,2,1,1,2] => 241
[2,6,4,5,8,1,7,3] => 0100101 => [1,1,2,1,1,1] => 359
[1,5,6,4,8,3,7,2] => 0010101 => [2,1,1,1,1,1] => 297
[2,5,6,4,8,3,1,7] => 0010110 => [2,1,1,2,1] => 241
[3,5,6,1,4,7,8,2] => 0010001 => [2,1,3,1] => 157
[7,6,1,3,4,5,8,2] => 1100001 => [2,4,1] => 81
[7,1,3,2,4,8,5,6] => 1010010 => [1,1,1,2,1,1] => 359
[7,6,1,5,3,4,8,2] => 1101001 => [2,1,1,2,1] => 241
[7,6,1,5,4,3,8,2] => 1101101 => [2,1,2,1,1] => 252
[1,6,4,5,8,3,2,7] => 0100110 => [1,1,2,2,1] => 295
[7,6,5,8,1,3,2,4] => 1101010 => [2,1,1,1,1,1] => 297
[3,4,6,8,7,2,1,5] => 0001110 => [3,3,1] => 95
[3,5,6,8,2,1,7,4] => 0001101 => [3,2,1,1] => 145
[4,2,1,5,3,7,8,6] => 1101001 => [2,1,1,2,1] => 241
[4,2,5,6,3,1,8,7] => 1001101 => [1,2,2,1,1] => 295
[3,5,6,8,1,7,2,4] => 0001010 => [3,1,1,1,1] => 165
[4,1,5,6,3,2,8,7] => 1001101 => [1,2,2,1,1] => 295
[4,5,3,1,7,2,8,6] => 0110101 => [1,2,1,1,1,1] => 345
[4,1,3,5,2,7,8,6] => 1001001 => [1,2,1,2,1] => 281
[2,5,4,7,3,8,6,1] => 0101011 => [1,1,1,1,1,2] => 297
[3,5,7,1,8,4,2,6] => 0010110 => [2,1,1,2,1] => 241
[4,1,5,3,2,7,8,6] => 1011001 => [1,1,2,2,1] => 295
[4,5,3,7,1,2,8,6] => 0101001 => [1,1,1,1,2,1] => 345
[4,3,6,1,2,7,5,8] => 1010010 => [1,1,1,2,1,1] => 359
[5,1,3,2,4,6,7,8] => 1010000 => [1,1,1,4] => 75
[3,6,1,7,4,5,2,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,1,3,4,2,6,7,8] => 1001000 => [1,2,1,3] => 137
[5,3,1,4,2,6,7,8] => 1101000 => [2,1,1,3] => 117
[4,5,2,3,7,1,8,6] => 0100101 => [1,1,2,1,1,1] => 359
[4,2,6,1,3,7,5,8] => 1010010 => [1,1,1,2,1,1] => 359
[4,6,2,1,3,7,5,8] => 0110010 => [1,2,2,1,1] => 295
[3,6,2,1,7,4,8,5] => 0110101 => [1,2,1,1,1,1] => 345
[3,1,4,7,6,5,2,8] => 1001110 => [1,2,3,1] => 185
[3,6,2,7,1,5,8,4] => 0101001 => [1,1,1,1,2,1] => 345
[4,6,2,7,1,3,5,8] => 0101000 => [1,1,1,1,3] => 165
[3,5,7,1,8,2,6,4] => 0010101 => [2,1,1,1,1,1] => 297
[5,1,4,2,3,6,7,8] => 1010000 => [1,1,1,4] => 75
[3,6,1,7,2,5,8,4] => 0101001 => [1,1,1,1,2,1] => 345
[2,6,5,3,4,7,8,1] => 0110001 => [1,2,3,1] => 185
[3,6,1,7,5,4,2,8] => 0101110 => [1,1,1,3,1] => 219
[5,1,4,3,2,6,7,8] => 1011000 => [1,1,2,3] => 145
[5,4,1,3,2,6,7,8] => 1101000 => [2,1,1,3] => 117
[6,4,2,5,3,8,1,7] => 1101010 => [2,1,1,1,1,1] => 297
[4,6,2,3,5,1,8,7] => 0100101 => [1,1,2,1,1,1] => 359
[6,2,4,5,1,8,3,7] => 1001010 => [1,2,1,1,1,1] => 345
[8,2,6,7,1,4,5,3] => 1001001 => [1,2,1,2,1] => 281
[8,2,6,7,4,1,5,3] => 1001101 => [1,2,2,1,1] => 295
[4,6,2,3,5,8,1,7] => 0100010 => [1,1,3,1,1] => 233
[2,6,4,1,5,8,3,7] => 0110010 => [1,2,2,1,1] => 295
[2,8,1,6,7,4,5,3] => 0100101 => [1,1,2,1,1,1] => 359
[6,8,4,5,7,2,3,1] => 0100101 => [1,1,2,1,1,1] => 359
[2,8,6,1,4,7,5,3] => 0110011 => [1,2,2,2] => 211
[2,8,1,6,4,7,5,3] => 0101011 => [1,1,1,1,1,2] => 297
[2,6,1,4,8,5,3,7] => 0100110 => [1,1,2,2,1] => 295
[6,4,5,2,8,3,1,7] => 1010110 => [1,1,1,1,2,1] => 345
[4,2,3,6,1,8,5,7] => 1001010 => [1,2,1,1,1,1] => 345
[4,2,3,1,6,8,5,7] => 1010010 => [1,1,1,2,1,1] => 359
[4,2,3,8,6,1,7,5] => 1001101 => [1,2,2,1,1] => 295
[6,4,5,8,2,3,7,1] => 1001001 => [1,2,1,2,1] => 281
[8,6,7,2,4,5,1,3] => 1010010 => [1,1,1,2,1,1] => 359
[6,4,8,5,2,3,7,1] => 1011001 => [1,1,2,2,1] => 295
[4,2,8,3,1,6,7,5] => 1011001 => [1,1,2,2,1] => 295
[2,4,8,1,3,6,7,5] => 0010001 => [2,1,3,1] => 157
[2,4,1,8,3,6,7,5] => 0101001 => [1,1,1,1,2,1] => 345
[2,1,4,8,6,3,7,5] => 1001101 => [1,2,2,1,1] => 295
[6,4,8,2,5,3,7,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,6,2,4,7,5,1,3] => 1100110 => [2,2,2,1] => 211
[4,6,8,2,3,5,7,1] => 0010001 => [2,1,3,1] => 157
[2,6,8,4,1,5,7,3] => 0011001 => [2,2,2,1] => 211
[2,6,8,1,4,5,7,3] => 0010001 => [2,1,3,1] => 157
[2,1,6,8,4,5,7,3] => 1001001 => [1,2,1,2,1] => 281
[2,8,1,4,6,7,3,5] => 0100010 => [1,1,3,1,1] => 233
[4,8,6,2,3,7,5,1] => 0110011 => [1,2,2,2] => 211
[8,4,2,6,7,3,1,5] => 1100110 => [2,2,2,1] => 211
[7,6,4,5,1,3,8,2] => 1101001 => [2,1,1,2,1] => 241
[1,6,7,5,3,4,8,2] => 0011001 => [2,2,2,1] => 211
[7,6,2,3,8,4,1,5] => 1100110 => [2,2,2,1] => 211
[1,6,7,5,8,2,3,4] => 0010100 => [2,1,1,1,2] => 207
[6,2,5,8,3,4,7,1] => 1001001 => [1,2,1,2,1] => 281
[6,2,3,8,7,4,1,5] => 1001110 => [1,2,3,1] => 185
[2,4,7,3,5,8,6,1] => 0010011 => [2,1,2,2] => 180
[2,5,3,7,1,8,4,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,2,8,3,1,4,6,7] => 1011000 => [1,1,2,3] => 145
[4,8,2,3,6,5,7,1] => 0100101 => [1,1,2,1,1,1] => 359
[5,8,1,3,6,4,7,2] => 0100101 => [1,1,2,1,1,1] => 359
[5,8,1,4,3,6,2,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,8,4,1,3,7,6,2] => 0110011 => [1,2,2,2] => 211
[6,4,5,3,8,1,7,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,6,5,3,7,1,2,8] => 0110100 => [1,2,1,1,2] => 241
[4,5,1,3,6,2,8,7] => 0100101 => [1,1,2,1,1,1] => 359
[4,2,6,5,1,7,3,8] => 1011010 => [1,1,2,1,1,1] => 359
[4,3,5,7,2,1,6,8] => 1001100 => [1,2,2,2] => 211
[3,4,7,6,8,1,2,5] => 0010100 => [2,1,1,1,2] => 207
[3,4,6,2,5,8,7,1] => 0010011 => [2,1,2,2] => 180
[3,5,2,4,6,1,8,7] => 0100101 => [1,1,2,1,1,1] => 359
[4,2,5,1,6,8,3,7] => 1010010 => [1,1,1,2,1,1] => 359
[1,8,2,3,6,5,7,4] => 0100101 => [1,1,2,1,1,1] => 359
[4,2,8,3,5,7,1,6] => 1010010 => [1,1,1,2,1,1] => 359
[4,3,8,6,5,7,1,2] => 1011010 => [1,1,2,1,1,1] => 359
[1,3,7,2,6,5,8,4] => 0010101 => [2,1,1,1,1,1] => 297
[1,3,6,4,2,5,8,7] => 0011001 => [2,2,2,1] => 211
[1,5,4,7,3,6,8,2] => 0101001 => [1,1,1,1,2,1] => 345
[5,2,3,8,4,1,7,6] => 1001101 => [1,2,2,1,1] => 295
[7,5,3,4,8,2,1,6] => 1100110 => [2,2,2,1] => 211
[7,2,8,3,4,1,5,6] => 1010100 => [1,1,1,1,1,2] => 297
[7,4,3,8,5,2,6,1] => 1101101 => [2,1,2,1,1] => 252
[4,6,2,7,3,1,5,8] => 0101100 => [1,1,1,2,2] => 255
[7,6,3,8,2,4,5,1] => 1101001 => [2,1,1,2,1] => 241
[7,2,8,5,1,3,4,6] => 1011000 => [1,1,2,3] => 145
[1,5,3,7,6,8,4,2] => 0101011 => [1,1,1,1,1,2] => 297
[1,6,3,7,8,2,4,5] => 0100100 => [1,1,2,1,2] => 252
[1,4,3,7,8,5,2,6] => 0100110 => [1,1,2,2,1] => 295
[4,2,6,5,7,8,3,1] => 1010011 => [1,1,1,2,2] => 255
[4,2,6,7,5,8,1,3] => 1001010 => [1,2,1,1,1,1] => 345
[3,2,4,7,8,5,1,6] => 1000110 => [1,3,2,1] => 185
[3,2,6,7,8,1,4,5] => 1000100 => [1,3,1,2] => 157
[5,1,8,3,6,4,7,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[3,6,8,5,7,2,1,4] => 0010110 => [2,1,1,2,1] => 241
[5,1,3,8,7,6,4,2] => 1001111 => [1,2,4] => 65
[3,8,5,6,1,7,2,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,4,8,1,7,6,2,5] => 0010110 => [2,1,1,2,1] => 241
[4,7,6,8,5,1,3,2] => 0101101 => [1,1,1,2,1,1] => 359
[6,7,4,8,5,1,3,2] => 0101101 => [1,1,1,2,1,1] => 359
[6,4,8,3,1,7,5,2] => 1011011 => [1,1,2,1,2] => 252
[3,6,5,8,7,1,4,2] => 0101101 => [1,1,1,2,1,1] => 359
[5,7,4,8,2,6,3,1] => 0101011 => [1,1,1,1,1,2] => 297
[5,6,4,8,2,7,3,1] => 0101011 => [1,1,1,1,1,2] => 297
[6,5,3,8,2,7,4,1] => 1101011 => [2,1,1,1,2] => 207
[6,4,8,1,3,7,5,2] => 1010011 => [1,1,1,2,2] => 255
[7,6,3,1,4,2,5,8] => 1110100 => [3,1,1,2] => 117
[1,5,4,3,7,8,2,6] => 0110010 => [1,2,2,1,1] => 295
[7,8,4,2,5,3,1,6] => 0110110 => [1,2,1,2,1] => 281
[4,2,7,8,5,3,1,6] => 1001110 => [1,2,3,1] => 185
[4,2,5,3,1,7,8,6] => 1011001 => [1,1,2,2,1] => 295
[4,2,8,7,6,3,1,5] => 1011110 => [1,1,4,1] => 107
[4,2,7,6,3,1,5,8] => 1011100 => [1,1,3,2] => 171
[6,3,1,7,5,2,4,8] => 1101100 => [2,1,2,2] => 180
[6,3,1,8,7,5,2,4] => 1101110 => [2,1,3,1] => 157
[8,6,3,1,7,5,2,4] => 1110110 => [3,1,2,1] => 137
[4,2,7,6,3,1,8,5] => 1011101 => [1,1,3,1,1] => 233
[7,6,3,1,8,4,2,5] => 1110110 => [3,1,2,1] => 137
[7,6,4,2,1,8,3,5] => 1111010 => [4,1,1,1] => 75
[1,8,2,7,6,4,3,5] => 0101110 => [1,1,1,3,1] => 219
[8,3,5,7,6,4,2,1] => 1001111 => [1,2,4] => 65
[8,4,2,5,7,6,3,1] => 1100111 => [2,2,3] => 105
[7,5,2,4,8,6,3,1] => 1100111 => [2,2,3] => 105
[8,7,5,2,4,6,3,1] => 1110011 => [3,2,2] => 105
[7,5,2,4,6,3,1,8] => 1100110 => [2,2,2,1] => 211
[5,2,8,6,3,7,4,1] => 1011011 => [1,1,2,1,2] => 252
[8,4,7,5,2,6,3,1] => 1011011 => [1,1,2,1,2] => 252
[8,3,6,4,7,5,2,1] => 1010111 => [1,1,1,1,3] => 165
[1,8,2,7,5,3,6,4] => 0101101 => [1,1,1,2,1,1] => 359
[7,5,2,1,8,3,6,4] => 1110101 => [3,1,1,1,1] => 165
[7,5,2,6,3,1,8,4] => 1101101 => [2,1,2,1,1] => 252
[5,2,7,4,1,8,6,3] => 1011011 => [1,1,2,1,2] => 252
[5,2,8,7,4,1,6,3] => 1011101 => [1,1,3,1,1] => 233
[8,7,4,1,5,2,6,3] => 1110101 => [3,1,1,1,1] => 165
[7,4,1,5,2,8,6,3] => 1101011 => [2,1,1,1,2] => 207
[7,6,3,1,4,2,8,5] => 1110101 => [3,1,1,1,1] => 165
[7,5,2,8,6,3,1,4] => 1101110 => [2,1,3,1] => 157
[8,7,5,2,6,3,1,4] => 1110110 => [3,1,2,1] => 137
[7,5,2,1,3,6,4,8] => 1110010 => [3,2,1,1] => 145
[8,7,5,2,1,3,6,4] => 1111001 => [4,2,1] => 65
[7,5,2,1,3,8,6,4] => 1110011 => [3,2,2] => 105
[1,3,7,6,5,8,2,4] => 0011010 => [2,2,1,1,1] => 255
[8,6,4,7,5,2,1,3] => 1101110 => [2,1,3,1] => 157
[6,4,8,7,5,2,1,3] => 1011110 => [1,1,4,1] => 107
[6,4,7,5,2,1,3,8] => 1011100 => [1,1,3,2] => 171
[6,3,1,4,7,5,2,8] => 1100110 => [2,2,2,1] => 211
[6,3,1,4,8,7,5,2] => 1100111 => [2,2,3] => 105
[8,6,3,1,4,7,5,2] => 1110011 => [3,2,2] => 105
[8,5,7,6,3,1,4,2] => 1011101 => [1,1,3,1,1] => 233
[1,8,2,5,7,6,4,3] => 0100111 => [1,1,2,3] => 145
[1,8,2,6,4,7,5,3] => 0101011 => [1,1,1,1,1,2] => 297
[7,5,2,1,6,4,8,3] => 1110101 => [3,1,1,1,1] => 165
[6,3,8,7,4,1,5,2] => 1011101 => [1,1,3,1,1] => 233
[6,3,7,4,1,5,2,8] => 1011010 => [1,1,2,1,1,1] => 359
[7,4,1,6,3,5,2,8] => 1101010 => [2,1,1,1,1,1] => 297
[7,4,1,8,6,3,5,2] => 1101101 => [2,1,2,1,1] => 252
[8,4,6,3,1,7,5,2] => 1011011 => [1,1,2,1,2] => 252
[6,4,7,5,2,1,8,3] => 1011101 => [1,1,3,1,1] => 233
[1,6,4,7,5,3,8,2] => 0101101 => [1,1,1,2,1,1] => 359
[8,6,3,5,2,7,4,1] => 1101011 => [2,1,1,1,2] => 207
[6,3,5,2,8,7,4,1] => 1010111 => [1,1,1,1,3] => 165
[6,3,5,2,7,4,1,8] => 1010110 => [1,1,1,1,2,1] => 345
[1,4,7,3,5,2,6,8] => 0010100 => [2,1,1,1,2] => 207
[5,7,4,2,6,3,1,8] => 0110110 => [1,2,1,2,1] => 281
[4,2,6,3,5,7,1,8] => 1010010 => [1,1,1,2,1,1] => 359
[2,4,5,8,1,6,7,3] => 0001001 => [3,1,2,1] => 137
[6,1,3,7,4,2,5,8] => 1001100 => [1,2,2,2] => 211
[3,2,6,8,1,5,7,4] => 1001001 => [1,2,1,2,1] => 281
[8,2,6,1,5,4,7,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,6,2,7,1,5,4,3] => 1101011 => [2,1,1,1,2] => 207
[7,6,8,3,1,5,4,2] => 1011011 => [1,1,2,1,2] => 252
[6,3,7,2,8,1,5,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,5,2,8,6,1,4,3] => 1101101 => [2,1,2,1,1] => 252
[2,7,3,8,1,5,6,4] => 0101001 => [1,1,1,1,2,1] => 345
[1,6,8,5,2,4,3,7] => 0011010 => [2,2,1,1,1] => 255
[4,5,7,2,8,1,6,3] => 0010101 => [2,1,1,1,1,1] => 297
[8,4,6,5,3,1,7,2] => 1011101 => [1,1,3,1,1] => 233
[4,5,3,1,7,2,6,8] => 0110100 => [1,2,1,1,2] => 241
[7,8,1,2,4,3,6,5] => 0100101 => [1,1,2,1,1,1] => 359
[8,4,1,6,2,3,7,5] => 1101001 => [2,1,1,2,1] => 241
[4,1,3,6,5,7,8,2] => 1001001 => [1,2,1,2,1] => 281
[6,1,3,4,2,8,5,7] => 1001010 => [1,2,1,1,1,1] => 345
[8,1,4,2,5,7,6,3] => 1010011 => [1,1,1,2,2] => 255
[8,1,4,3,5,7,6,2] => 1010011 => [1,1,1,2,2] => 255
[5,2,4,1,3,7,8,6] => 1010001 => [1,1,1,3,1] => 219
[2,6,5,3,1,7,8,4] => 0111001 => [1,3,2,1] => 185
[8,3,2,1,5,7,6,4] => 1110011 => [3,2,2] => 105
[1,7,4,3,6,8,2,5] => 0110010 => [1,2,2,1,1] => 295
[2,7,6,3,1,8,4,5] => 0111010 => [1,3,1,1,1] => 219
[2,8,4,6,3,7,5,1] => 0101011 => [1,1,1,1,1,2] => 297
[8,7,1,3,6,5,4,2] => 1100111 => [2,2,3] => 105
[1,8,5,7,4,2,6,3] => 0101101 => [1,1,1,2,1,1] => 359
[3,8,6,5,7,1,4,2] => 0110101 => [1,2,1,1,1,1] => 345
[4,8,6,2,7,1,5,3] => 0110101 => [1,2,1,1,1,1] => 345
[4,7,5,3,8,2,1,6] => 0110110 => [1,2,1,2,1] => 281
[1,6,5,8,3,4,2,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[6,1,5,3,8,4,2,7] => 1010110 => [1,1,1,1,2,1] => 345
[8,1,5,4,7,2,6,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[2,1,4,7,5,8,3,6] => 1001010 => [1,2,1,1,1,1] => 345
[6,3,5,8,7,4,1,2] => 1001110 => [1,2,3,1] => 185
[4,7,2,8,5,6,3,1] => 0101011 => [1,1,1,1,1,2] => 297
[1,4,8,7,3,5,6,2] => 0011001 => [2,2,2,1] => 211
[8,1,7,6,3,5,4,2] => 1011011 => [1,1,2,1,2] => 252
[3,6,8,5,7,4,1,2] => 0010110 => [2,1,1,2,1] => 241
[4,7,6,8,5,3,1,2] => 0101110 => [1,1,1,3,1] => 219
[5,7,2,8,6,4,1,3] => 0101110 => [1,1,1,3,1] => 219
[3,8,7,5,6,4,2,1] => 0110111 => [1,2,1,3] => 137
[2,8,7,6,4,5,3,1] => 0111011 => [1,3,1,2] => 157
[1,8,7,6,5,3,4,2] => 0111101 => [1,4,1,1] => 107
[4,6,7,2,5,3,1,8] => 0010110 => [2,1,1,2,1] => 241
[2,4,7,8,1,6,5,3] => 0001011 => [3,1,1,2] => 117
[4,2,6,8,7,1,5,3] => 1001101 => [1,2,2,1,1] => 295
[5,1,8,4,2,7,6,3] => 1011011 => [1,1,2,1,2] => 252
[6,8,3,7,1,5,4,2] => 0101011 => [1,1,1,1,1,2] => 297
[2,7,3,8,1,6,5,4] => 0101011 => [1,1,1,1,1,2] => 297
[2,6,8,4,1,7,5,3] => 0011011 => [2,2,1,2] => 180
[4,6,7,1,2,8,5,3] => 0010011 => [2,1,2,2] => 180
[3,6,1,8,2,7,5,4] => 0101011 => [1,1,1,1,1,2] => 297
[5,7,4,1,2,8,6,3] => 0110011 => [1,2,2,2] => 211
[6,3,7,1,2,8,5,4] => 1010011 => [1,1,1,2,2] => 255
[8,1,5,6,3,2,4,7] => 1001100 => [1,2,2,2] => 211
[1,7,8,3,5,2,4,6] => 0010100 => [2,1,1,1,2] => 207
[8,5,3,7,2,4,6,1] => 1101001 => [2,1,1,2,1] => 241
[1,7,2,4,8,5,3,6] => 0100110 => [1,1,2,2,1] => 295
[1,7,8,5,4,3,2,6] => 0011110 => [2,4,1] => 81
[2,6,8,7,4,3,5,1] => 0011101 => [2,3,1,1] => 171
[1,2,6,7,8,4,3,5] => 0000110 => [4,2,1] => 65
[2,7,5,8,4,1,3,6] => 0101100 => [1,1,1,2,2] => 255
[2,1,7,8,4,5,3,6] => 1001010 => [1,2,1,1,1,1] => 345
[3,7,8,2,1,5,4,6] => 0011010 => [2,2,1,1,1] => 255
[8,5,1,4,7,3,6,2] => 1100101 => [2,2,1,1,1] => 255
[8,4,7,5,3,6,1,2] => 1011010 => [1,1,2,1,1,1] => 359
[8,1,4,6,7,3,5,2] => 1000101 => [1,3,1,1,1] => 219
[3,5,8,6,7,4,1,2] => 0010110 => [2,1,1,2,1] => 241
[3,6,8,4,7,1,5,2] => 0010101 => [2,1,1,1,1,1] => 297
[4,7,1,3,6,8,2,5] => 0100010 => [1,1,3,1,1] => 233
[3,7,6,4,8,1,2,5] => 0110100 => [1,2,1,1,2] => 241
[3,1,7,5,6,8,2,4] => 1010010 => [1,1,1,2,1,1] => 359
[2,3,6,5,7,1,8,4] => 0010101 => [2,1,1,1,1,1] => 297
[3,7,5,4,2,1,8,6] => 0111101 => [1,4,1,1] => 107
[1,3,6,7,4,2,8,5] => 0001101 => [3,2,1,1] => 145
[3,6,4,8,2,7,5,1] => 0101011 => [1,1,1,1,1,2] => 297
[1,4,6,3,2,7,8,5] => 0011001 => [2,2,2,1] => 211
[8,7,1,5,6,3,2,4] => 1100110 => [2,2,2,1] => 211
[8,1,6,7,5,3,2,4] => 1001110 => [1,2,3,1] => 185
[1,7,8,6,5,3,2,4] => 0011110 => [2,4,1] => 81
[8,7,2,4,6,5,3,1] => 1100111 => [2,2,3] => 105
[1,7,8,2,6,4,5,3] => 0010101 => [2,1,1,1,1,1] => 297
[8,7,2,5,4,6,1,3] => 1101010 => [2,1,1,1,1,1] => 297
[8,7,2,5,3,1,6,4] => 1101101 => [2,1,2,1,1] => 252
[8,7,3,2,1,5,6,4] => 1111001 => [4,2,1] => 65
[8,2,6,7,3,1,5,4] => 1001101 => [1,2,2,1,1] => 295
[1,7,2,8,5,6,4,3] => 0101011 => [1,1,1,1,1,2] => 297
[2,7,1,8,4,6,5,3] => 0101011 => [1,1,1,1,1,2] => 297
[3,7,8,2,1,6,5,4] => 0011011 => [2,2,1,2] => 180
[8,7,6,1,4,5,3,2] => 1110011 => [3,2,2] => 105
[4,8,1,2,3,7,5,6] => 0100010 => [1,1,3,1,1] => 233
[1,8,2,3,6,5,4,7] => 0100110 => [1,1,2,2,1] => 295
[3,5,8,4,7,2,6,1] => 0010101 => [2,1,1,1,1,1] => 297
[1,8,5,4,6,2,3,7] => 0110100 => [1,2,1,1,2] => 241
[3,8,5,4,6,1,2,7] => 0110100 => [1,2,1,1,2] => 241
[3,8,5,1,6,4,2,7] => 0110110 => [1,2,1,2,1] => 281
[2,8,5,4,6,1,3,7] => 0110100 => [1,2,1,1,2] => 241
[2,8,5,4,6,3,1,7] => 0110110 => [1,2,1,2,1] => 281
[1,8,5,4,6,3,2,7] => 0110110 => [1,2,1,2,1] => 281
[2,5,8,4,7,3,6,1] => 0010101 => [2,1,1,1,1,1] => 297
[3,6,4,2,7,8,5,1] => 0110011 => [1,2,2,2] => 211
[3,5,4,1,6,2,7,8] => 0110100 => [1,2,1,1,2] => 241
[4,5,8,1,7,6,2,3] => 0010110 => [2,1,1,2,1] => 241
[3,5,8,4,7,1,6,2] => 0010101 => [2,1,1,1,1,1] => 297
[1,5,8,4,7,3,6,2] => 0010101 => [2,1,1,1,1,1] => 297
[3,6,4,1,7,8,5,2] => 0110011 => [1,2,2,2] => 211
[3,6,4,8,7,5,2,1] => 0101111 => [1,1,1,4] => 75
[1,6,4,3,7,8,5,2] => 0110011 => [1,2,2,2] => 211
[7,1,3,4,8,6,5,2] => 1000111 => [1,3,3] => 95
[7,6,1,3,8,4,2,5] => 1100110 => [2,2,2,1] => 211
[1,6,4,2,7,8,3,5] => 0110010 => [1,2,2,1,1] => 295
[2,6,4,3,7,1,8,5] => 0110101 => [1,2,1,1,1,1] => 345
[2,6,4,1,7,8,3,5] => 0110010 => [1,2,2,1,1] => 295
[7,2,3,4,8,6,5,1] => 1000111 => [1,3,3] => 95
[7,2,3,1,8,6,4,5] => 1010110 => [1,1,1,1,2,1] => 345
[7,2,3,4,1,6,8,5] => 1001001 => [1,2,1,2,1] => 281
[1,2,4,3,8,5,7,6] => 0010101 => [2,1,1,1,1,1] => 297
[7,3,8,6,1,4,2,5] => 1011010 => [1,1,2,1,1,1] => 359
[7,2,8,6,3,4,1,5] => 1011010 => [1,1,2,1,1,1] => 359
[7,2,3,1,5,6,8,4] => 1010001 => [1,1,1,3,1] => 219
[7,2,3,8,1,6,5,4] => 1001011 => [1,2,1,1,2] => 241
[7,2,3,8,5,6,4,1] => 1001011 => [1,2,1,1,2] => 241
[2,6,4,8,7,1,5,3] => 0101101 => [1,1,1,2,1,1] => 359
[1,5,8,4,7,6,2,3] => 0010110 => [2,1,1,2,1] => 241
[3,5,8,1,6,7,2,4] => 0010010 => [2,1,2,1,1] => 252
[7,6,1,3,5,8,2,4] => 1100010 => [2,3,1,1] => 171
[7,1,3,2,5,6,8,4] => 1010001 => [1,1,1,3,1] => 219
[7,1,3,8,2,6,5,4] => 1001011 => [1,2,1,1,2] => 241
[7,6,1,8,5,4,2,3] => 1101110 => [2,1,3,1] => 157
[3,2,6,5,8,4,7,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,3,7,1,6,5,8,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,2,6,4,8,3,7,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,3,7,5,8,2,6,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,3,7,4,8,2,6,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,3,7,4,8,1,6,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,4,8,1,6,2,7,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,3,7,1,5,2,8,6] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,4,8,2,6,3,7,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,4,8,1,6,3,7,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,1,7,5,2,3,6,8] => 1011000 => [1,1,2,3] => 145
[4,1,7,8,6,3,2,5] => 1001110 => [1,2,3,1] => 185
[4,7,2,8,3,5,1,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[6,8,3,2,1,4,7,5] => 0111001 => [1,3,2,1] => 185
[7,2,4,1,6,5,8,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,5,8,4,3,1,6,2] => 1011101 => [1,1,3,1,1] => 233
[6,8,2,4,1,3,7,5] => 0101001 => [1,1,1,1,2,1] => 345
[2,8,4,7,6,3,5,1] => 0101101 => [1,1,1,2,1,1] => 359
[6,1,2,7,5,8,4,3] => 1001011 => [1,2,1,1,2] => 241
[4,2,7,3,8,5,6,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,5,2,6,8,3,7,1] => 0100101 => [1,1,2,1,1,1] => 359
[4,8,3,2,5,7,6,1] => 0110011 => [1,2,2,2] => 211
[7,2,4,3,8,5,6,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,8,5,3,4,7,2,1] => 0110011 => [1,2,2,2] => 211
[8,4,7,6,2,3,5,1] => 1011001 => [1,1,2,2,1] => 295
[6,8,4,1,5,3,7,2] => 0110101 => [1,2,1,1,1,1] => 345
[8,3,4,7,6,2,5,1] => 1001101 => [1,2,2,1,1] => 295
[1,8,3,5,2,6,7,4] => 0101001 => [1,1,1,1,2,1] => 345
[6,8,3,5,1,4,7,2] => 0101001 => [1,1,1,1,2,1] => 345
[6,8,5,4,2,3,7,1] => 0111001 => [1,3,2,1] => 185
[5,8,2,4,3,7,6,1] => 0101011 => [1,1,1,1,1,2] => 297
[8,2,1,3,5,6,4,7] => 1100010 => [2,3,1,1] => 171
[8,2,1,3,5,4,7,6] => 1100101 => [2,2,1,1,1] => 255
[8,2,1,3,4,6,7,5] => 1100001 => [2,4,1] => 81
[8,1,3,4,2,6,5,7] => 1001010 => [1,2,1,1,1,1] => 345
[8,1,3,4,2,5,7,6] => 1001001 => [1,2,1,2,1] => 281
[8,1,3,2,5,6,4,7] => 1010010 => [1,1,1,2,1,1] => 359
[8,1,2,4,5,3,7,6] => 1000101 => [1,3,1,1,1] => 219
[8,1,2,4,3,6,7,5] => 1001001 => [1,2,1,2,1] => 281
[10,2,1,4,3,6,5,8,7,9] => 110101010 => [2,1,1,1,1,1,1,1] => 3432
[10,2,1,4,3,6,5,7,9,8] => 110101001 => [2,1,1,1,1,2,1] => 2838
[10,2,1,4,3,5,7,8,6,9] => 110100010 => [2,1,1,3,1,1] => 2172
[10,2,1,4,3,5,7,6,9,8] => 110100101 => [2,1,1,2,1,1,1] => 3040
[10,2,1,4,3,5,6,8,9,7] => 110100001 => [2,1,1,4,1] => 1119
[10,2,1,3,5,6,4,8,7,9] => 110001010 => [2,3,1,1,1,1] => 2244
[10,2,1,3,5,6,4,7,9,8] => 110001001 => [2,3,1,2,1] => 1902
[10,2,1,3,5,4,7,8,6,9] => 110010010 => [2,2,1,2,1,1] => 2661
[10,2,1,3,5,4,7,6,9,8] => 110010101 => [2,2,1,1,1,1,1] => 3036
[10,2,1,3,5,4,6,8,9,7] => 110010001 => [2,2,1,3,1] => 1761
[10,2,1,3,4,6,7,8,5,9] => 110000010 => [2,5,1,1] => 624
[10,2,1,3,4,6,7,5,9,8] => 110000101 => [2,4,1,1,1] => 1344
[10,2,1,3,4,6,5,8,9,7] => 110001001 => [2,3,1,2,1] => 1902
[10,2,1,3,4,5,7,8,9,6] => 110000001 => [2,6,1] => 204
[10,1,3,4,2,6,5,8,7,9] => 100101010 => [1,2,1,1,1,1,1,1] => 4004
[10,1,3,4,2,6,5,7,9,8] => 100101001 => [1,2,1,1,1,2,1] => 3314
[10,1,3,4,2,5,7,8,6,9] => 100100010 => [1,2,1,3,1,1] => 2548
[10,1,3,4,2,5,7,6,9,8] => 100100101 => [1,2,1,2,1,1,1] => 3556
[10,1,3,4,2,5,6,8,9,7] => 100100001 => [1,2,1,4,1] => 1315
[10,1,3,2,5,6,4,8,7,9] => 101001010 => [1,1,1,2,1,1,1,1] => 4274
[10,1,3,2,5,6,4,7,9,8] => 101001001 => [1,1,1,2,1,2,1] => 3556
[10,1,3,2,5,4,7,8,6,9] => 101010010 => [1,1,1,1,1,2,1,1] => 4202
[10,1,3,2,5,4,7,6,9,8] => 101010101 => [1,1,1,1,1,1,1,1,1] => 4862
[10,1,3,2,5,4,6,8,9,7] => 101010001 => [1,1,1,1,1,3,1] => 2717
[10,1,3,2,4,6,7,8,5,9] => 101000010 => [1,1,1,4,1,1] => 1754
[10,1,3,2,4,6,7,5,9,8] => 101000101 => [1,1,1,3,1,1,1] => 3098
[10,1,3,2,4,6,5,8,9,7] => 101001001 => [1,1,1,2,1,2,1] => 3556
[10,1,3,2,4,5,7,8,9,6] => 101000001 => [1,1,1,5,1] => 704
[10,1,2,4,5,6,3,8,7,9] => 100001010 => [1,4,1,1,1,1] => 1529
[10,1,2,4,5,6,3,7,9,8] => 100001001 => [1,4,1,2,1] => 1315
[10,1,2,4,5,3,7,8,6,9] => 100010010 => [1,3,1,2,1,1] => 2407
[10,1,2,4,5,3,7,6,9,8] => 100010101 => [1,3,1,1,1,1,1] => 2717
[10,1,2,4,5,3,6,8,9,7] => 100010001 => [1,3,1,3,1] => 1622
[10,1,2,4,3,6,7,8,5,9] => 100100010 => [1,2,1,3,1,1] => 2548
[10,1,2,4,3,6,7,5,9,8] => 100100101 => [1,2,1,2,1,1,1] => 3556
[10,1,2,4,3,6,5,8,9,7] => 100101001 => [1,2,1,1,1,2,1] => 3314
[10,1,2,4,3,5,7,8,9,6] => 100100001 => [1,2,1,4,1] => 1315
[10,1,2,3,5,6,7,8,4,9] => 100000010 => [1,6,1,1] => 254
[10,1,2,3,5,6,7,4,9,8] => 100000101 => [1,5,1,1,1] => 704
[10,1,2,3,5,6,4,8,9,7] => 100001001 => [1,4,1,2,1] => 1315
[10,1,2,3,5,4,7,8,9,6] => 100010001 => [1,3,1,3,1] => 1622
[10,1,2,3,4,6,7,8,9,5] => 100000001 => [1,7,1] => 65
[6,5,3,8,4,2,7,1] => 1101101 => [2,1,2,1,1] => 252
[7,4,5,1,6,2,8,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,7,3,5,6,2,8,1] => 0100101 => [1,1,2,1,1,1] => 359
[6,7,8,4,1,3,5,2] => 0011001 => [2,2,2,1] => 211
[3,1,6,8,4,7,5,2] => 1001011 => [1,2,1,1,2] => 241
[8,3,6,1,5,7,4,2] => 1010011 => [1,1,1,2,2] => 255
[3,2,7,5,8,6,1,4] => 1010110 => [1,1,1,1,2,1] => 345
[2,5,4,7,8,1,6,3] => 0100101 => [1,1,2,1,1,1] => 359
[2,4,6,7,8,1,5,3] => 0000101 => [4,1,1,1] => 75
[2,4,6,8,1,7,5,3] => 0001011 => [3,1,1,2] => 117
[7,4,3,8,6,2,1,5] => 1101110 => [2,1,3,1] => 157
[2,4,7,8,3,5,6,1] => 0001001 => [3,1,2,1] => 137
[3,2,7,6,1,8,4,5] => 1011010 => [1,1,2,1,1,1] => 359
[3,2,6,8,1,7,4,5] => 1001010 => [1,2,1,1,1,1] => 345
[4,3,6,2,1,8,5,7] => 1011010 => [1,1,2,1,1,1] => 359
[3,6,4,2,5,8,1,7] => 0110010 => [1,2,2,1,1] => 295
[4,6,2,3,7,5,8,1] => 0100101 => [1,1,2,1,1,1] => 359
[5,8,4,2,3,6,7,1] => 0110001 => [1,2,3,1] => 185
[8,4,5,3,2,1,7,6] => 1011101 => [1,1,3,1,1] => 233
[5,8,3,4,2,1,7,6] => 0101101 => [1,1,1,2,1,1] => 359
[6,8,4,2,3,7,5,1] => 0110011 => [1,2,2,2] => 211
[6,4,8,3,2,7,1,5] => 1011010 => [1,1,2,1,1,1] => 359
[5,8,3,7,2,1,6,4] => 0101101 => [1,1,1,2,1,1] => 359
[2,5,6,4,7,1,8,3] => 0010101 => [2,1,1,1,1,1] => 297
[2,5,4,8,1,6,7,3] => 0101001 => [1,1,1,1,2,1] => 345
[6,4,7,3,8,2,1,5] => 1010110 => [1,1,1,1,2,1] => 345
[6,7,4,3,2,1,8,5] => 0111101 => [1,4,1,1] => 107
[8,4,3,7,2,1,5,6] => 1101100 => [2,1,2,2] => 180
[1,2,6,5,8,7,3,4] => 0010110 => [2,1,1,2,1] => 241
[1,5,2,8,4,6,7,3] => 0101001 => [1,1,1,1,2,1] => 345
[1,5,2,7,4,6,8,3] => 0101001 => [1,1,1,1,2,1] => 345
[5,1,2,7,3,6,8,4] => 1001001 => [1,2,1,2,1] => 281
[5,1,2,8,3,6,7,4] => 1001001 => [1,2,1,2,1] => 281
[5,6,3,4,8,7,2,1] => 0100111 => [1,1,2,3] => 145
[6,5,3,4,8,7,2,1] => 1100111 => [2,2,3] => 105
[4,1,2,8,3,6,7,5] => 1001001 => [1,2,1,2,1] => 281
[4,1,2,7,3,6,8,5] => 1001001 => [1,2,1,2,1] => 281
[7,5,3,8,4,6,2,1] => 1101011 => [2,1,1,1,2] => 207
[8,5,3,7,4,6,2,1] => 1101011 => [2,1,1,1,2] => 207
[5,8,1,2,3,4,7,6] => 0100001 => [1,1,4,1] => 107
[7,1,2,8,3,6,4,5] => 1001010 => [1,2,1,1,1,1] => 345
[6,1,8,2,3,5,7,4] => 1010001 => [1,1,1,3,1] => 219
[6,1,7,2,3,5,8,4] => 1010001 => [1,1,1,3,1] => 219
[1,6,8,2,4,5,7,3] => 0010001 => [2,1,3,1] => 157
[4,3,8,7,5,6,2,1] => 1011011 => [1,1,2,1,2] => 252
[1,8,2,7,4,6,5,3] => 0101011 => [1,1,1,1,1,2] => 297
[7,1,6,2,3,5,8,4] => 1010001 => [1,1,1,3,1] => 219
[8,1,6,2,3,5,7,4] => 1010001 => [1,1,1,3,1] => 219
[8,1,7,2,3,5,6,4] => 1010001 => [1,1,1,3,1] => 219
[5,8,3,7,4,6,2,1] => 0101011 => [1,1,1,1,1,2] => 297
[6,8,7,3,4,5,2,1] => 0110011 => [1,2,2,2] => 211
[1,8,7,2,4,5,3,6] => 0110010 => [1,2,2,1,1] => 295
[8,7,1,2,3,4,6,5] => 1100001 => [2,4,1] => 81
[8,6,1,2,3,4,7,5] => 1100001 => [2,4,1] => 81
[8,1,6,2,3,5,4,7] => 1010010 => [1,1,1,2,1,1] => 359
[1,7,6,2,4,5,3,8] => 0110010 => [1,2,2,1,1] => 295
[1,8,7,4,6,3,5,2] => 0110101 => [1,2,1,1,1,1] => 345
[6,3,7,5,1,4,8,2] => 1011001 => [1,1,2,2,1] => 295
[1,8,3,5,7,2,6,4] => 0100101 => [1,1,2,1,1,1] => 359
[2,3,4,6,8,5,7,1] => 0000101 => [4,1,1,1] => 75
[2,3,5,7,4,8,6,1] => 0001011 => [3,1,1,2] => 117
[2,4,6,3,7,8,5,1] => 0010011 => [2,1,2,2] => 180
[2,5,7,1,8,6,3,4] => 0010110 => [2,1,1,2,1] => 241
[1,3,8,5,2,4,6,7] => 0011000 => [2,2,3] => 105
[2,6,7,1,8,4,5,3] => 0010101 => [2,1,1,1,1,1] => 297
[5,8,3,1,4,2,6,7] => 0110100 => [1,2,1,1,2] => 241
[3,8,4,2,6,7,1,5] => 0110010 => [1,2,2,1,1] => 295
[2,4,1,8,5,6,3,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,6,2,7,8,5,3,4] => 0100110 => [1,1,2,2,1] => 295
[3,5,2,6,7,8,4,1] => 0100011 => [1,1,3,2] => 171
[4,5,1,6,7,3,8,2] => 0100101 => [1,1,2,1,1,1] => 359
[2,8,4,1,7,5,3,6] => 0110110 => [1,2,1,2,1] => 281
[8,5,3,1,7,4,2,6] => 1110110 => [3,1,2,1] => 137
[4,2,8,7,1,5,3,6] => 1011010 => [1,1,2,1,1,1] => 359
[5,2,6,8,1,7,4,3] => 1001011 => [1,2,1,1,2] => 241
[5,7,3,2,6,8,1,4] => 0110010 => [1,2,2,1,1] => 295
[8,4,7,3,1,6,2,5] => 1011010 => [1,1,2,1,1,1] => 359
[6,7,1,2,3,5,8,4] => 0100001 => [1,1,4,1] => 107
[3,1,6,7,8,4,2,5] => 1000110 => [1,3,2,1] => 185
[3,1,4,8,5,6,2,7] => 1001010 => [1,2,1,1,1,1] => 345
[8,3,1,4,5,7,2,6] => 1100010 => [2,3,1,1] => 171
[1,6,7,8,9,2,3,4,5] => 00001000 => [4,1,3] => 125
[6,7,8,9,1,2,3,4,5,10] => 000100000 => [3,1,5] => 209
[6,7,8,1,2,3,4,5,9] => 00100000 => [2,1,5] => 83
[1,7,8,9,2,3,4,5,6] => 00010000 => [3,1,4] => 125
[1,7,8,9,10,2,3,4,5,6] => 000010000 => [4,1,4] => 251
[5,6,7,8,9,1,2,3,4,10] => 000010000 => [4,1,4] => 251
[5,6,7,1,8,2,3,4,9] => 00101000 => [2,1,1,1,3] => 407
[4,6,7,8,1,2,3,5,9] => 00010000 => [3,1,4] => 125
[1,6,7,8,2,9,3,4,5] => 00010100 => [3,1,1,1,2] => 407
[1,5,7,8,9,2,3,4,6] => 00001000 => [4,1,3] => 125
[1,6,7,8,9,10,2,3,4,5] => 000001000 => [5,1,3] => 209
[8,6,2,3,5,1,4,7] => 1100100 => [2,2,1,2] => 180
[8,2,4,5,7,3,1,6] => 1000110 => [1,3,2,1] => 185
[2,6,3,8,7,5,4,1] => 0101111 => [1,1,1,4] => 75
[8,2,3,7,5,4,1,6] => 1001110 => [1,2,3,1] => 185
[8,2,6,3,5,4,1,7] => 1010110 => [1,1,1,1,2,1] => 345
[8,6,1,5,2,4,3,7] => 1101010 => [2,1,1,1,1,1] => 297
[8,6,2,4,1,5,3,7] => 1101010 => [2,1,1,1,1,1] => 297
[8,4,1,6,5,3,2,7] => 1101110 => [2,1,3,1] => 157
[8,3,6,1,5,4,2,7] => 1010110 => [1,1,1,1,2,1] => 345
[8,3,2,6,5,4,1,7] => 1101110 => [2,1,3,1] => 157
[8,3,2,5,7,4,1,6] => 1100110 => [2,2,2,1] => 211
[8,3,1,7,5,4,2,6] => 1101110 => [2,1,3,1] => 157
[8,2,7,4,1,5,3,6] => 1011010 => [1,1,2,1,1,1] => 359
[6,1,3,8,7,5,4,2] => 1001111 => [1,2,4] => 65
[3,6,1,8,7,5,4,2] => 0101111 => [1,1,1,4] => 75
[3,8,1,5,7,6,4,2] => 0100111 => [1,1,2,3] => 145
[3,5,2,8,7,6,4,1] => 0101111 => [1,1,1,4] => 75
[3,4,8,2,7,6,5,1] => 0010111 => [2,1,1,3] => 117
[3,4,8,7,1,6,5,2] => 0011011 => [2,2,1,2] => 180
[8,1,3,5,7,6,4,2] => 1000111 => [1,3,3] => 95
[4,1,8,5,7,6,3,2] => 1010111 => [1,1,1,1,3] => 165
[8,2,7,1,4,5,6,3] => 1010001 => [1,1,1,3,1] => 219
[8,1,7,3,4,6,2,5] => 1010010 => [1,1,1,2,1,1] => 359
[8,3,1,7,2,6,5,4] => 1101011 => [2,1,1,1,2] => 207
[3,8,2,4,7,6,5,1] => 0100111 => [1,1,2,3] => 145
[2,8,3,7,4,6,5,1] => 0101011 => [1,1,1,1,1,2] => 297
[8,2,3,7,1,6,5,4] => 1001011 => [1,2,1,1,2] => 241
[8,2,7,1,3,6,5,4] => 1010011 => [1,1,1,2,2] => 255
[8,1,7,2,6,4,3,5] => 1010110 => [1,1,1,1,2,1] => 345
[8,1,7,5,2,4,3,6] => 1011010 => [1,1,2,1,1,1] => 359
[8,2,3,7,4,6,1,5] => 1001010 => [1,2,1,1,1,1] => 345
[2,4,8,5,7,6,3,1] => 0010111 => [2,1,1,3] => 117
[8,2,4,3,7,6,1,5] => 1010110 => [1,1,1,1,2,1] => 345
[8,2,7,3,5,1,4,6] => 1010100 => [1,1,1,1,1,2] => 297
[8,2,7,4,3,1,5,6] => 1011100 => [1,1,3,2] => 171
[8,2,7,3,1,5,6,4] => 1011001 => [1,1,2,2,1] => 295
[8,2,1,5,7,6,4,3] => 1100111 => [2,2,3] => 105
[6,2,1,8,7,5,4,3] => 1101111 => [2,1,4] => 55
[6,1,8,2,7,5,4,3] => 1010111 => [1,1,1,1,3] => 165
[8,1,7,3,5,2,6,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,1,5,2,7,6,4,3] => 1010111 => [1,1,1,1,3] => 165
[8,1,7,2,4,6,5,3] => 1010011 => [1,1,1,2,2] => 255
[8,2,4,1,7,6,5,3] => 1010111 => [1,1,1,1,3] => 165
[4,2,8,3,7,6,5,1] => 1010111 => [1,1,1,1,3] => 165
[4,8,2,1,7,6,5,3] => 0110111 => [1,2,1,3] => 137
[5,1,8,7,2,6,4,3] => 1011011 => [1,1,2,1,2] => 252
[5,8,1,3,7,6,2,4] => 0100110 => [1,1,2,2,1] => 295
[8,2,5,4,1,7,6,3] => 1011011 => [1,1,2,1,2] => 252
[5,1,4,8,7,6,3,2] => 1001111 => [1,2,4] => 65
[8,1,4,3,7,6,5,2] => 1010111 => [1,1,1,1,3] => 165
[4,8,1,3,7,6,5,2] => 0100111 => [1,1,2,3] => 145
[4,3,8,1,7,6,5,2] => 1010111 => [1,1,1,1,3] => 165
[5,8,6,3,2,1,7,4] => 0111101 => [1,4,1,1] => 107
[5,7,6,3,2,4,1,8] => 0111010 => [1,3,1,1,1] => 219
[6,5,7,2,4,3,1,8] => 1010110 => [1,1,1,1,2,1] => 345
[5,7,1,3,2,8,6,4] => 0101011 => [1,1,1,1,1,2] => 297
[5,8,1,3,2,7,4,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[8,5,1,3,2,4,6,7] => 1101000 => [2,1,1,3] => 117
[7,5,1,3,2,4,8,6] => 1101001 => [2,1,1,2,1] => 241
[7,5,8,2,1,4,3,6] => 1011010 => [1,1,2,1,1,1] => 359
[6,7,1,2,5,4,8,3] => 0100101 => [1,1,2,1,1,1] => 359
[6,8,1,2,5,7,4,3] => 0100011 => [1,1,3,2] => 171
[7,1,2,3,8,6,4,5] => 1000110 => [1,3,2,1] => 185
[8,1,6,4,2,3,5,7] => 1011000 => [1,1,2,3] => 145
[1,5,4,8,2,3,7,6] => 0101001 => [1,1,1,1,2,1] => 345
[1,7,8,2,3,5,6,4] => 0010001 => [2,1,3,1] => 157
[7,5,8,2,3,1,4,6] => 1010100 => [1,1,1,1,1,2] => 297
[7,4,1,2,6,8,3,5] => 1100010 => [2,3,1,1] => 171
[6,2,8,1,5,7,3,4] => 1010010 => [1,1,1,2,1,1] => 359
[7,2,5,4,1,8,6,3] => 1011011 => [1,1,2,1,2] => 252
[7,3,5,4,2,1,8,6] => 1011101 => [1,1,3,1,1] => 233
[7,3,2,8,5,6,1,4] => 1101010 => [2,1,1,1,1,1] => 297
[1,7,4,3,6,8,5,2] => 0110011 => [1,2,2,2] => 211
[4,7,6,5,2,3,8,1] => 0111001 => [1,3,2,1] => 185
[5,4,6,8,7,2,1,3] => 1001110 => [1,2,3,1] => 185
[6,7,4,2,1,8,5,3] => 0111011 => [1,3,1,2] => 157
[1,7,6,3,2,8,4,5] => 0111010 => [1,3,1,1,1] => 219
[6,5,8,1,7,3,4,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,5,8,2,3,7,4,1] => 1010011 => [1,1,1,2,2] => 255
[6,5,8,3,4,1,7,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,1,2,8,5,3,6,7] => 1001100 => [1,2,2,2] => 211
[3,5,8,2,6,1,7,4] => 0010101 => [2,1,1,1,1,1] => 297
[3,7,6,1,5,2,8,4] => 0110101 => [1,2,1,1,1,1] => 345
[1,7,6,2,5,8,4,3] => 0110011 => [1,2,2,2] => 211
[1,7,6,5,8,4,2,3] => 0110110 => [1,2,1,2,1] => 281
[3,7,6,2,8,4,5,1] => 0110101 => [1,2,1,1,1,1] => 345
[4,3,6,8,5,1,2,7] => 1001100 => [1,2,2,2] => 211
[2,7,1,5,8,4,3,6] => 0100110 => [1,1,2,2,1] => 295
[2,7,6,1,8,4,3,5] => 0110110 => [1,2,1,2,1] => 281
[7,1,2,6,3,5,4,8] => 1001010 => [1,2,1,1,1,1] => 345
[7,2,6,3,4,5,1,8] => 1010010 => [1,1,1,2,1,1] => 359
[6,1,2,5,7,8,4,3] => 1000011 => [1,4,2] => 81
[4,1,2,7,8,5,3,6] => 1000110 => [1,3,2,1] => 185
[4,7,3,1,2,6,8,5] => 0110001 => [1,2,3,1] => 185
[3,7,6,1,5,8,2,4] => 0110010 => [1,2,2,1,1] => 295
[3,8,5,6,4,2,7,1] => 0101101 => [1,1,1,2,1,1] => 359
[3,2,6,4,7,8,5,1] => 1010011 => [1,1,1,2,2] => 255
[4,2,7,5,8,3,1,6] => 1010110 => [1,1,1,1,2,1] => 345
[4,2,7,1,3,8,6,5] => 1010011 => [1,1,1,2,2] => 255
[5,2,1,4,7,8,3,6] => 1100010 => [2,3,1,1] => 171
[5,6,2,7,3,4,8,1] => 0101001 => [1,1,1,1,2,1] => 345
[6,1,3,8,5,4,7,2] => 1001101 => [1,2,2,1,1] => 295
[2,7,6,8,5,1,3,4] => 0101100 => [1,1,1,2,2] => 255
[2,7,6,8,5,3,1,4] => 0101110 => [1,1,1,3,1] => 219
[1,5,8,6,4,2,3,7] => 0011100 => [2,3,2] => 126
[2,5,8,6,4,1,7,3] => 0011101 => [2,3,1,1] => 171
[1,6,2,3,5,8,7,4] => 0100011 => [1,1,3,2] => 171
[4,7,2,3,1,6,8,5] => 0101001 => [1,1,1,1,2,1] => 345
[6,7,3,1,5,4,8,2] => 0110101 => [1,2,1,1,1,1] => 345
[7,4,6,2,8,3,5,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,3,5,1,4,8,2,6] => 1010010 => [1,1,1,2,1,1] => 359
[3,4,6,5,1,2,7,8] => 0011000 => [2,2,3] => 105
[7,5,4,3,8,6,2,1] => 1110111 => [3,1,3] => 69
[4,3,8,2,6,7,5,1] => 1010011 => [1,1,1,2,2] => 255
[4,3,8,2,5,7,1,6] => 1010010 => [1,1,1,2,1,1] => 359
[4,1,6,2,5,3,7,8] => 1010100 => [1,1,1,1,1,2] => 297
[5,1,8,6,4,7,2,3] => 1011010 => [1,1,2,1,1,1] => 359
[4,2,6,1,5,3,8,7] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,7,2,3,1,5,8,4] => 0101001 => [1,1,1,1,2,1] => 345
[7,5,2,3,8,1,6,4] => 1100101 => [2,2,1,1,1] => 255
[7,5,2,3,8,4,1,6] => 1100110 => [2,2,2,1] => 211
[4,5,1,7,6,3,8,2] => 0101101 => [1,1,1,2,1,1] => 359
[8,1,7,5,2,3,4,6] => 1011000 => [1,1,2,3] => 145
[8,6,3,1,4,2,5,7] => 1110100 => [3,1,1,2] => 117
[4,5,1,6,2,8,7,3] => 0101011 => [1,1,1,1,1,2] => 297
[4,8,3,6,1,7,2,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[6,2,7,8,3,4,5,1] => 1001001 => [1,2,1,2,1] => 281
[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] => 170
[7,2,3,4,5,6,1,8,9] => 10000100 => [1,4,1,2] => 303
[6,2,3,4,5,1,7,8,9] => 10001000 => [1,3,1,3] => 332
[5,2,3,4,1,6,7,8,9] => 10010000 => [1,2,1,4] => 235
[4,2,3,1,5,6,7,8,9] => 10100000 => [1,1,1,5] => 110
[1,2,4,3,5,6,7,8,9] => 00100000 => [2,1,5] => 83
[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] => 125
[1,2,4,3,5,6,7,8,9,10] => 001000000 => [2,1,6] => 119
[1,2,4,6,8,10,9,7,5,3] => 000001111 => [5,4] => 126
[1,2,4,6,8,5,7,3] => 0000101 => [4,1,1,1] => 75
[2,1,7,5,8,6,3,4] => 1010110 => [1,1,1,1,2,1] => 345
[4,7,3,8,6,5,2,1] => 0101111 => [1,1,1,4] => 75
[3,8,7,4,6,5,1,2] => 0110110 => [1,2,1,2,1] => 281
[7,3,8,4,6,5,1,2] => 1010110 => [1,1,1,1,2,1] => 345
[7,4,3,6,5,8,1,2] => 1101010 => [2,1,1,1,1,1] => 297
[4,5,8,7,2,6,1,3] => 0011010 => [2,2,1,1,1] => 255
[3,8,6,7,5,1,4,2] => 0101101 => [1,1,1,2,1,1] => 359
[4,2,7,6,5,8,3,1] => 1011011 => [1,1,2,1,2] => 252
[4,6,7,8,5,2,3,1] => 0001101 => [3,2,1,1] => 145
[4,5,3,8,2,7,6,1] => 0101011 => [1,1,1,1,1,2] => 297
[3,8,5,4,1,7,6,2] => 0111011 => [1,3,1,2] => 157
[6,4,7,2,5,8,3,1] => 1010011 => [1,1,1,2,2] => 255
[6,3,8,7,5,1,4,2] => 1011101 => [1,1,3,1,1] => 233
[5,3,6,4,1,2,8,7] => 1011001 => [1,1,2,2,1] => 295
[6,8,4,3,5,7,1,2] => 0110010 => [1,2,2,1,1] => 295
[5,2,4,8,7,6,1,3] => 1001110 => [1,2,3,1] => 185
[4,2,5,1,7,8,3,6] => 1010010 => [1,1,1,2,1,1] => 359
[2,5,4,1,3,8,6,7] => 0110010 => [1,2,2,1,1] => 295
[1,4,5,3,8,2,6,7] => 0010100 => [2,1,1,1,2] => 207
[5,1,8,2,4,3,6,7] => 1010100 => [1,1,1,1,1,2] => 297
[1,5,4,8,2,3,6,7] => 0101000 => [1,1,1,1,3] => 165
[3,5,1,4,7,8,2,6] => 0100010 => [1,1,3,1,1] => 233
[4,8,3,1,6,7,2,5] => 0110010 => [1,2,2,1,1] => 295
[3,4,8,2,6,5,7,1] => 0010101 => [2,1,1,1,1,1] => 297
[3,6,2,4,8,7,1,5] => 0100110 => [1,1,2,2,1] => 295
[4,7,3,2,6,8,1,5] => 0110010 => [1,2,2,1,1] => 295
[7,3,4,6,8,1,2,5] => 1000100 => [1,3,1,2] => 157
[3,6,7,2,5,8,1,4] => 0010010 => [2,1,2,1,1] => 252
[1,5,6,8,3,7,2,4] => 0001010 => [3,1,1,1,1] => 165
[6,1,5,8,3,4,7,2] => 1001001 => [1,2,1,2,1] => 281
[5,6,8,1,3,4,7,2] => 0010001 => [2,1,3,1] => 157
[2,8,5,6,3,4,7,1] => 0101001 => [1,1,1,1,2,1] => 345
[6,8,1,3,5,4,7,2] => 0100101 => [1,1,2,1,1,1] => 359
[8,1,6,3,5,4,7,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[1,8,7,3,6,4,5,2] => 0110101 => [1,2,1,1,1,1] => 345
[7,1,2,5,8,4,6,3] => 1000101 => [1,3,1,1,1] => 219
[6,2,4,8,1,7,3,5] => 1001010 => [1,2,1,1,1,1] => 345
[3,1,7,8,5,4,6,2] => 1001101 => [1,2,2,1,1] => 295
[1,6,2,7,4,8,5,3] => 0101011 => [1,1,1,1,1,2] => 297
[2,7,1,8,4,3,5,6] => 0101100 => [1,1,1,2,2] => 255
[6,7,1,8,3,2,4,5] => 0101100 => [1,1,1,2,2] => 255
[2,7,6,3,5,8,1,4] => 0110010 => [1,2,2,1,1] => 295
[2,7,5,6,8,1,3,4] => 0100100 => [1,1,2,1,2] => 252
[6,7,2,8,1,3,4,5] => 0101000 => [1,1,1,1,3] => 165
[5,1,6,8,7,2,3,4] => 1001100 => [1,2,2,2] => 211
[1,5,7,6,8,2,3,4] => 0010100 => [2,1,1,1,2] => 207
[7,4,6,8,5,3,1,2] => 1001110 => [1,2,3,1] => 185
[2,1,5,7,8,3,6,4] => 1000101 => [1,3,1,1,1] => 219
[3,8,6,7,5,1,2,4] => 0101100 => [1,1,1,2,2] => 255
[4,7,5,8,6,3,1,2] => 0101110 => [1,1,1,3,1] => 219
[1,6,8,3,2,5,4,7] => 0011010 => [2,2,1,1,1] => 255
[7,8,5,1,3,2,6,4] => 0110101 => [1,2,1,1,1,1] => 345
[2,6,8,1,5,4,7,3] => 0010101 => [2,1,1,1,1,1] => 297
[1,5,4,7,6,2,8,3] => 0101101 => [1,1,1,2,1,1] => 359
[2,3,7,6,5,1,8,4] => 0011101 => [2,3,1,1] => 171
[6,1,5,8,3,2,7,4] => 1001101 => [1,2,2,1,1] => 295
[3,1,2,4,8,5,7,6] => 1000101 => [1,3,1,1,1] => 219
[2,5,8,4,6,3,1,7] => 0010110 => [2,1,1,2,1] => 241
[7,1,5,4,8,3,2,6] => 1010110 => [1,1,1,1,2,1] => 345
[6,4,1,7,5,3,2,8] => 1101110 => [2,1,3,1] => 157
[2,7,6,4,8,1,5,3] => 0110101 => [1,2,1,1,1,1] => 345
[7,2,5,4,8,1,6,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[1,7,2,5,3,8,6,4] => 0101011 => [1,1,1,1,1,2] => 297
[2,4,1,3,6,8,5,7,9] => 01000100 => [1,1,3,1,2] => 609
[7,2,3,8,6,1,5,4] => 1001101 => [1,2,2,1,1] => 295
[5,3,8,4,1,2,6,7] => 1011000 => [1,1,2,3] => 145
[2,4,8,3,7,1,5,6] => 0010100 => [2,1,1,1,2] => 207
[5,2,8,4,1,6,3,7] => 1011010 => [1,1,2,1,1,1] => 359
[7,6,5,2,1,8,4,3] => 1111011 => [4,1,2] => 55
[2,7,5,1,8,3,6,4] => 0110101 => [1,2,1,1,1,1] => 345
[5,1,8,7,4,3,6,2] => 1011101 => [1,1,3,1,1] => 233
[3,8,7,2,4,6,1,5] => 0110010 => [1,2,2,1,1] => 295
[5,7,1,3,2,4,8,6] => 0101001 => [1,1,1,1,2,1] => 345
[4,2,7,6,3,5,8,1] => 1011001 => [1,1,2,2,1] => 295
[8,4,7,6,3,5,1,2] => 1011010 => [1,1,2,1,1,1] => 359
[8,1,7,4,2,3,5,6] => 1011000 => [1,1,2,3] => 145
[6,5,1,3,8,7,4,2] => 1100111 => [2,2,3] => 105
[4,7,8,3,2,5,1,6] => 0011010 => [2,2,1,1,1] => 255
[6,1,8,5,3,7,2,4] => 1011010 => [1,1,2,1,1,1] => 359
[5,1,6,8,3,7,4,2] => 1001011 => [1,2,1,1,2] => 241
[8,6,5,1,7,4,3,2] => 1110111 => [3,1,3] => 69
[7,6,4,1,3,5,8,2] => 1110001 => [3,3,1] => 95
[8,2,3,7,1,4,5,6] => 1001000 => [1,2,1,3] => 137
[2,8,3,7,1,4,5,6] => 0101000 => [1,1,1,1,3] => 165
[5,6,2,7,4,3,1,8] => 0101110 => [1,1,1,3,1] => 219
[8,6,2,7,4,1,3,5] => 1101100 => [2,1,2,2] => 180
[3,7,8,2,6,1,4,5] => 0010100 => [2,1,1,1,2] => 207
[3,7,8,5,2,1,4,6] => 0011100 => [2,3,2] => 126
[6,8,4,7,3,1,5,2] => 0101101 => [1,1,1,2,1,1] => 359
[4,8,6,5,1,2,7,3] => 0111001 => [1,3,2,1] => 185
[4,8,6,5,1,2,3,7] => 0111000 => [1,3,3] => 95
[3,4,5,1,7,6,8,2] => 0010101 => [2,1,1,1,1,1] => 297
[3,8,7,6,5,1,2,4] => 0111100 => [1,4,2] => 81
[8,4,6,7,1,2,5,3] => 1001001 => [1,2,1,2,1] => 281
[5,7,2,6,1,8,4,3] => 0101011 => [1,1,1,1,1,2] => 297
[5,7,2,6,1,3,8,4] => 0101001 => [1,1,1,1,2,1] => 345
[5,8,2,6,1,4,7,3] => 0101001 => [1,1,1,1,2,1] => 345
[3,8,7,5,6,1,4,2] => 0110101 => [1,2,1,1,1,1] => 345
[6,8,4,7,2,1,5,3] => 0101101 => [1,1,1,2,1,1] => 359
[1,7,3,4,5,2,8,6] => 0100101 => [1,1,2,1,1,1] => 359
[4,8,2,1,3,5,6,7] => 0110000 => [1,2,4] => 65
[1,7,2,5,4,3,8,6] => 0101101 => [1,1,1,2,1,1] => 359
[2,6,7,3,4,8,1,5] => 0010010 => [2,1,2,1,1] => 252
[2,1,5,7,4,3,8,6] => 1001101 => [1,2,2,1,1] => 295
[4,1,8,7,5,6,2,3] => 1011010 => [1,1,2,1,1,1] => 359
[1,5,8,7,4,3,6,2] => 0011101 => [2,3,1,1] => 171
[6,4,1,3,8,7,5,2] => 1100111 => [2,2,3] => 105
[2,1,7,4,6,8,3,5] => 1010010 => [1,1,1,2,1,1] => 359
[1,7,2,4,6,8,3,5] => 0100010 => [1,1,3,1,1] => 233
[8,6,4,2,7,3,5,1] => 1110101 => [3,1,1,1,1] => 165
[7,4,6,1,2,3,8,5] => 1010001 => [1,1,1,3,1] => 219
[1,8,6,2,7,3,5,4] => 0110101 => [1,2,1,1,1,1] => 345
[1,7,8,6,2,3,5,4] => 0011001 => [2,2,2,1] => 211
[2,1,8,3,5,7,6,4] => 1010011 => [1,1,1,2,2] => 255
[3,5,8,1,7,6,2,4] => 0010110 => [2,1,1,2,1] => 241
[2,8,1,3,6,7,5,4] => 0100011 => [1,1,3,2] => 171
[7,2,4,8,6,1,5,3] => 1001101 => [1,2,2,1,1] => 295
[2,4,1,5,6,7,8,9,10,3] => 010000001 => [1,1,6,1] => 254
[2,3,4,5,6,7,9,1,10,8] => 000000101 => [6,1,1,1] => 154
[2,3,5,1,6,7,8,9,10,4] => 001000001 => [2,1,5,1] => 534
[2,3,4,5,6,8,1,9,10,7] => 000001001 => [5,1,2,1] => 375
[2,3,4,6,1,7,8,9,10,5] => 000100001 => [3,1,4,1] => 709
[2,3,4,5,7,1,8,9,10,6] => 000010001 => [4,1,3,1] => 626
[4,1,2,5,6,7,8,9,10,3] => 100000001 => [1,7,1] => 65
[4,3,1,5,6,7,8,10,2,9] => 110000010 => [2,5,1,1] => 624
[2,6,1,5,3,7,8,9,10,4] => 010100001 => [1,1,1,1,4,1] => 1529
[5,3,4,1,6,7,9,2,10,8] => 101000101 => [1,1,1,3,1,1,1] => 3098
[2,3,8,1,6,7,4,9,10,5] => 001001001 => [2,1,2,1,2,1] => 2550
[6,3,4,5,1,8,2,9,10,7] => 100101001 => [1,2,1,1,1,2,1] => 3314
[2,3,4,10,1,7,8,9,5,6] => 000100010 => [3,1,3,1,1] => 1330
[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] => 170
[9,2,1,3,4,5,6,7,8,10] => 110000000 => [2,7] => 36
[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] => 110
[4,2,3,5,6,7,8,1,9] => 10000010 => [1,5,1,1] => 170
[6,4,3,2,8,1,7,5] => 1110101 => [3,1,1,1,1] => 165
[6,2,4,3,8,1,7,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,8,4,3,1,6,7,2] => 0111001 => [1,3,2,1] => 185
[8,7,2,4,6,10,1,3,5,9] => 110001000 => [2,3,1,3] => 998
[2,10,7,9,4,6,8,1,3,5] => 010100100 => [1,1,1,1,2,1,2] => 3054
[6,5,2,4,8,10,1,3,7,9] => 110001000 => [2,3,1,3] => 998
[2,8,5,7,4,6,10,1,3,9] => 010100100 => [1,1,1,1,2,1,2] => 3054
[10,5,2,4,7,9,6,8,1,3] => 110001010 => [2,3,1,1,1,1] => 2244
[10,9,2,8,5,7,4,6,1,3] => 110101010 => [2,1,1,1,1,1,1,1] => 3432
[8,7,6,5,2,4,10,1,3,9] => 111100100 => [4,2,1,2] => 681
[10,7,2,6,5,9,4,8,1,3] => 110101010 => [2,1,1,1,1,1,1,1] => 3432
[6,10,5,9,8,7,2,4,1,3] => 010111010 => [1,1,1,3,1,1,1] => 3098
[4,10,3,9,2,6,8,1,5,7] => 010100100 => [1,1,1,1,2,1,2] => 3054
[4,3,10,7,9,2,6,8,1,5] => 101010010 => [1,1,1,1,1,2,1,1] => 4202
[3,6,2,5,4,8,10,1,7,9] => 010100100 => [1,1,1,1,2,1,2] => 3054
[3,6,10,2,5,9,4,8,1,7] => 001001010 => [2,1,2,1,1,1,1] => 3054
[3,5,8,2,4,7,6,10,1,9] => 001001010 => [2,1,2,1,1,1,1] => 3054
[3,5,7,10,2,4,6,9,8,1] => 000100011 => [3,1,3,2] => 998
[10,9,3,5,8,2,4,7,6,1] => 110010011 => [2,2,1,2,2] => 1936
[8,7,3,6,2,5,4,10,1,9] => 110101010 => [2,1,1,1,1,1,1,1] => 3432
[7,6,3,5,10,2,4,9,8,1] => 110010011 => [2,2,1,2,2] => 1936
[3,6,10,9,8,2,5,7,4,1] => 001110011 => [2,3,2,2] => 1486
[10,9,8,7,3,6,2,5,4,1] => 111101011 => [4,1,1,1,2] => 726
[5,4,3,8,2,7,6,10,1,9] => 110101010 => [2,1,1,1,1,1,1,1] => 3432
[5,4,3,7,10,2,6,9,8,1] => 110010011 => [2,2,1,2,2] => 1936
[5,10,4,9,3,8,2,7,6,1] => 010101011 => [1,1,1,1,1,1,1,2] => 3432
[4,8,3,7,6,5,2,10,1,9] => 010111010 => [1,1,1,3,1,1,1] => 3098
[4,7,3,6,5,10,2,9,8,1] => 010101011 => [1,1,1,1,1,1,1,2] => 3432
[4,6,10,3,5,9,8,7,2,1] => 001001111 => [2,1,2,4] => 681
[10,9,4,8,3,7,6,5,2,1] => 110101111 => [2,1,1,1,4] => 726
[7,6,5,4,3,10,2,9,8,1] => 111101011 => [4,1,1,1,2] => 726
[6,5,4,10,3,9,8,7,2,1] => 110101111 => [2,1,1,1,4] => 726
[5,10,4,9,8,7,6,3,2,1] => 010111111 => [1,1,1,6] => 154
[4,2,8,1,5,7,6,3] => 1010011 => [1,1,1,2,2] => 255
[6,3,7,2,5,4,8,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,4,7,3,2,6,8,1] => 1011001 => [1,1,2,2,1] => 295
[5,7,2,6,3,4,8,1] => 0101001 => [1,1,1,1,2,1] => 345
[3,7,5,4,6,2,8,1] => 0110101 => [1,2,1,1,1,1] => 345
[6,8,3,2,1,7,4,5] => 0111010 => [1,3,1,1,1] => 219
[4,8,1,7,5,3,2,6] => 0101110 => [1,1,1,3,1] => 219
[5,4,3,7,2,8,6,1] => 1101011 => [2,1,1,1,2] => 207
[3,6,5,7,2,8,4,1] => 0101011 => [1,1,1,1,1,2] => 297
[4,6,5,3,8,2,1,7] => 0110110 => [1,2,1,2,1] => 281
[2,6,5,8,7,3,1,4] => 0101110 => [1,1,1,3,1] => 219
[6,3,8,4,1,7,2,5] => 1011010 => [1,1,2,1,1,1] => 359
[7,2,8,1,6,4,3,5] => 1010110 => [1,1,1,1,2,1] => 345
[3,2,8,7,6,4,1,5] => 1011110 => [1,1,4,1] => 107
[8,2,6,4,3,5,1,7] => 1011010 => [1,1,2,1,1,1] => 359
[5,4,2,8,6,3,7,1] => 1101101 => [2,1,2,1,1] => 252
[2,8,7,5,3,1,4,6] => 0111100 => [1,4,2] => 81
[2,5,6,3,1,4,8,7] => 0011001 => [2,2,2,1] => 211
[2,4,7,8,5,3,1,6] => 0001110 => [3,3,1] => 95
[6,5,3,2,4,1,8,7] => 1110101 => [3,1,1,1,1] => 165
[6,5,8,7,3,2,4,1] => 1011101 => [1,1,3,1,1] => 233
[2,1,4,7,8,5,3,6] => 1000110 => [1,3,2,1] => 185
[8,5,6,7,3,1,4,2] => 1001101 => [1,2,2,1,1] => 295
[8,7,5,3,2,6,4,1] => 1111011 => [4,1,2] => 55
[8,5,3,1,4,6,7,2] => 1110001 => [3,3,1] => 95
[8,5,1,6,4,3,7,2] => 1101101 => [2,1,2,1,1] => 252
[6,1,4,3,7,8,2,5] => 1010010 => [1,1,1,2,1,1] => 359
[6,1,2,7,5,8,3,4] => 1001010 => [1,2,1,1,1,1] => 345
[2,7,3,1,4,6,8,5] => 0110001 => [1,2,3,1] => 185
[2,8,3,1,6,5,7,4] => 0110101 => [1,2,1,1,1,1] => 345
[3,8,5,6,7,1,2,4] => 0100100 => [1,1,2,1,2] => 252
[2,5,8,1,4,6,7,3] => 0010001 => [2,1,3,1] => 157
[2,1,8,7,5,4,6,3] => 1011101 => [1,1,3,1,1] => 233
[7,8,3,4,1,6,5,2] => 0101011 => [1,1,1,1,1,2] => 297
[8,7,3,4,2,6,5,1] => 1101011 => [2,1,1,1,2] => 207
[8,4,5,2,3,7,1,6] => 1010010 => [1,1,1,2,1,1] => 359
[4,7,2,8,6,3,1,5] => 0101110 => [1,1,1,3,1] => 219
[4,7,5,2,3,8,1,6] => 0110010 => [1,2,2,1,1] => 295
[6,4,7,5,2,8,3,1] => 1011011 => [1,1,2,1,2] => 252
[7,5,1,3,6,4,8,2] => 1100101 => [2,2,1,1,1] => 255
[6,5,2,3,7,8,4,1] => 1100011 => [2,3,2] => 126
[7,2,6,3,1,5,8,4] => 1011001 => [1,1,2,2,1] => 295
[4,6,3,8,7,5,1,2] => 0101110 => [1,1,1,3,1] => 219
[2,8,4,1,5,7,6,3] => 0110011 => [1,2,2,2] => 211
[1,8,4,2,5,7,6,3] => 0110011 => [1,2,2,2] => 211
[2,8,5,4,1,7,6,3] => 0111011 => [1,3,1,2] => 157
[2,5,8,3,7,1,6,4] => 0010101 => [2,1,1,1,1,1] => 297
[1,8,5,2,4,7,6,3] => 0110011 => [1,2,2,2] => 211
[1,4,6,2,8,7,5,3] => 0010111 => [2,1,1,3] => 117
[7,8,2,4,1,6,5,3] => 0101011 => [1,1,1,1,1,2] => 297
[2,4,6,1,8,7,5,3] => 0010111 => [2,1,1,3] => 117
[2,8,4,5,1,7,6,3] => 0101011 => [1,1,1,1,1,2] => 297
[3,5,8,2,7,6,1,4] => 0010110 => [2,1,1,2,1] => 241
[2,1,6,8,7,5,3,4] => 1001110 => [1,2,3,1] => 185
[1,8,2,4,5,7,6,3] => 0100011 => [1,1,3,2] => 171
[1,2,8,3,5,7,6,4] => 0010011 => [2,1,2,2] => 180
[1,3,8,2,5,7,6,4] => 0010011 => [2,1,2,2] => 180
[2,3,8,1,5,7,6,4] => 0010011 => [2,1,2,2] => 180
[2,6,1,8,7,5,3,4] => 0101110 => [1,1,1,3,1] => 219
[1,6,2,8,7,5,3,4] => 0101110 => [1,1,1,3,1] => 219
[1,6,3,8,7,5,2,4] => 0101110 => [1,1,1,3,1] => 219
[2,6,3,8,7,5,1,4] => 0101110 => [1,1,1,3,1] => 219
[3,2,8,1,5,7,6,4] => 1010011 => [1,1,1,2,2] => 255
[3,1,8,2,5,7,6,4] => 1010011 => [1,1,1,2,2] => 255
[2,8,1,4,5,7,6,3] => 0100011 => [1,1,3,2] => 171
[7,8,2,1,4,6,5,3] => 0110011 => [1,2,2,2] => 211
[2,3,6,8,7,5,1,4] => 0001110 => [3,3,1] => 95
[3,1,6,8,7,2,5,4] => 1001101 => [1,2,2,1,1] => 295
[3,8,4,5,1,6,2,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[6,1,4,5,7,2,3,8] => 1000100 => [1,3,1,2] => 157
[8,1,4,7,6,3,2,5] => 1001110 => [1,2,3,1] => 185
[8,3,1,6,4,7,2,5] => 1101010 => [2,1,1,1,1,1] => 297
[5,3,8,6,2,7,1,4] => 1011010 => [1,1,2,1,1,1] => 359
[8,3,6,1,5,7,2,4] => 1010010 => [1,1,1,2,1,1] => 359
[8,4,6,3,1,2,5,7] => 1011000 => [1,1,2,3] => 145
[6,8,1,4,5,2,3,7] => 0100100 => [1,1,2,1,2] => 252
[1,5,8,4,6,2,3,7] => 0010100 => [2,1,1,1,2] => 207
[2,1,6,5,3,8,4,7] => 1011010 => [1,1,2,1,1,1] => 359
[5,6,8,1,4,2,3,7] => 0010100 => [2,1,1,1,2] => 207
[5,7,4,8,1,2,3,6] => 0101000 => [1,1,1,1,3] => 165
[8,2,1,5,3,7,4,6] => 1101010 => [2,1,1,1,1,1] => 297
[4,7,8,1,2,6,3,5] => 0010010 => [2,1,2,1,1] => 252
[8,7,1,5,6,2,3,4] => 1100100 => [2,2,1,2] => 180
[1,6,5,8,7,2,3,4] => 0101100 => [1,1,1,2,2] => 255
[3,7,1,6,2,4,8,5] => 0101001 => [1,1,1,1,2,1] => 345
[5,1,2,7,6,8,3,4] => 1001010 => [1,2,1,1,1,1] => 345
[6,1,7,2,5,8,3,4] => 1010010 => [1,1,1,2,1,1] => 359
[1,7,6,5,8,2,3,4] => 0110100 => [1,2,1,1,2] => 241
[1,6,8,5,7,2,3,4] => 0010100 => [2,1,1,1,2] => 207
[7,5,1,2,6,8,3,4] => 1100010 => [2,3,1,1] => 171
[6,1,5,2,7,8,3,4] => 1010010 => [1,1,1,2,1,1] => 359
[1,6,3,8,7,2,4,5] => 0101100 => [1,1,1,2,2] => 255
[1,7,3,2,4,6,8,5] => 0110001 => [1,2,3,1] => 185
[8,3,1,4,2,5,7,6] => 1101001 => [2,1,1,2,1] => 241
[3,1,2,7,8,4,6,5] => 1000101 => [1,3,1,1,1] => 219
[5,1,2,6,8,7,3,4] => 1000110 => [1,3,2,1] => 185
[1,8,6,2,5,7,3,4] => 0110010 => [1,2,2,1,1] => 295
[5,7,8,1,2,6,3,4] => 0010010 => [2,1,2,1,1] => 252
[8,1,5,7,6,2,3,4] => 1001100 => [1,2,2,2] => 211
[7,1,6,8,5,2,3,4] => 1001100 => [1,2,2,2] => 211
[3,7,1,2,8,4,6,5] => 0100101 => [1,1,2,1,1,1] => 359
[8,3,1,2,7,6,4,5] => 1100110 => [2,2,2,1] => 211
[1,5,8,7,6,2,3,4] => 0011100 => [2,3,2] => 126
[7,8,6,1,5,2,3,4] => 0110100 => [1,2,1,1,2] => 241
[1,9,3,4,5,6,7,8,2] => 01000001 => [1,1,5,1] => 170
[9,2,3,4,5,6,7,8,1,10] => 100000010 => [1,6,1,1] => 254
[1,9,8,4,5,6,7,3,2] => 01100011 => [1,2,3,2] => 533
[1,10,3,4,5,6,7,8,9,2] => 010000001 => [1,1,6,1] => 254
[1,10,9,4,5,6,7,8,3,2] => 011000011 => [1,2,4,2] => 1182
[7,8,6,3,1,5,2,4] => 0111010 => [1,3,1,1,1] => 219
[7,8,1,3,4,5,2,6] => 0100010 => [1,1,3,1,1] => 233
[1,7,4,8,2,5,3,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,8,6,1,4,2,7,5] => 0110101 => [1,2,1,1,1,1] => 345
[7,1,8,2,4,6,3,5] => 1010010 => [1,1,1,2,1,1] => 359
[7,6,8,4,1,5,3,2] => 1011011 => [1,1,2,1,2] => 252
[7,3,2,8,1,5,4,6] => 1101010 => [2,1,1,1,1,1] => 297
[3,5,4,1,7,2,6,8] => 0110100 => [1,2,1,1,2] => 241
[6,4,7,3,2,5,1,8] => 1011010 => [1,1,2,1,1,1] => 359
[7,6,5,3,8,4,1,2] => 1110110 => [3,1,2,1] => 137
[6,4,5,7,8,1,3,2] => 1000101 => [1,3,1,1,1] => 219
[3,7,4,1,6,8,5,2] => 0110011 => [1,2,2,2] => 211
[3,1,2,7,6,8,5,4] => 1001011 => [1,2,1,1,2] => 241
[6,3,2,8,4,5,1,7] => 1101010 => [2,1,1,1,1,1] => 297
[6,1,8,3,5,4,2,7] => 1010110 => [1,1,1,1,2,1] => 345
[3,8,5,2,4,6,1,7] => 0110010 => [1,2,2,1,1] => 295
[1,6,4,8,3,5,2,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,5,4,8,6,3,7,2] => 0101101 => [1,1,1,2,1,1] => 359
[4,8,2,5,3,7,1,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,8,4,5,2,6,7,1] => 0101001 => [1,1,1,1,2,1] => 345
[4,1,8,6,5,3,7,2] => 1011101 => [1,1,3,1,1] => 233
[5,7,8,4,6,3,2,1] => 0010111 => [2,1,1,3] => 117
[5,3,2,8,6,4,7,1] => 1101101 => [2,1,2,1,1] => 252
[6,8,1,2,7,4,3,5] => 0100110 => [1,1,2,2,1] => 295
[5,8,7,3,6,2,4,1] => 0110101 => [1,2,1,1,1,1] => 345
[7,5,2,3,4,8,6,1] => 1100011 => [2,3,2] => 126
[7,3,5,4,2,8,6,1] => 1011011 => [1,1,2,1,2] => 252
[5,6,1,3,2,4,7,8] => 0101000 => [1,1,1,1,3] => 165
[2,5,1,3,7,8,6,4] => 0100011 => [1,1,3,2] => 171
[4,3,7,2,1,8,6,5] => 1011011 => [1,1,2,1,2] => 252
[4,6,7,2,1,3,5,8] => 0011000 => [2,2,3] => 105
[4,6,2,3,1,5,7,8] => 0101000 => [1,1,1,1,3] => 165
[3,6,4,2,5,1,7,8] => 0110100 => [1,2,1,1,2] => 241
[3,1,6,4,7,5,2,8] => 1010110 => [1,1,1,1,2,1] => 345
[3,6,2,7,5,4,1,8] => 0101110 => [1,1,1,3,1] => 219
[2,4,7,5,3,6,1,8] => 0011010 => [2,2,1,1,1] => 255
[2,5,7,3,4,1,6,8] => 0010100 => [2,1,1,1,2] => 207
[2,3,5,8,6,4,7,1] => 0001101 => [3,2,1,1] => 145
[2,4,7,3,8,6,5,1] => 0010111 => [2,1,1,3] => 117
[3,4,2,7,5,8,6,1] => 0101011 => [1,1,1,1,1,2] => 297
[3,1,5,4,7,8,6,2] => 1010011 => [1,1,1,2,2] => 255
[4,5,7,2,3,1,8,6] => 0010101 => [2,1,1,1,1,1] => 297
[3,7,8,1,4,6,5,2] => 0010011 => [2,1,2,2] => 180
[2,5,8,7,4,1,3,6] => 0011100 => [2,3,2] => 126
[2,6,4,7,5,3,8,1] => 0101101 => [1,1,1,2,1,1] => 359
[6,2,4,7,1,3,8,5] => 1001001 => [1,2,1,2,1] => 281
[7,3,5,1,4,2,8,6] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,4,7,1,3,2,8,6] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,1,4,7,5,3,8,2] => 1001101 => [1,2,2,1,1] => 295
[8,7,4,3,1,5,6,2] => 1111001 => [4,2,1] => 65
[8,7,1,4,3,5,6,2] => 1101001 => [2,1,1,2,1] => 241
[6,1,8,4,7,3,2,5] => 1010110 => [1,1,1,1,2,1] => 345
[4,7,3,6,1,2,8,5] => 0101001 => [1,1,1,1,2,1] => 345
[5,2,1,7,4,3,8,6] => 1101101 => [2,1,2,1,1] => 252
[4,7,6,2,3,1,8,5] => 0110101 => [1,2,1,1,1,1] => 345
[7,6,8,2,5,3,4,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[2,3,6,1,8,7,5,4] => 0010111 => [2,1,1,3] => 117
[2,6,8,7,5,3,1,4] => 0011110 => [2,4,1] => 81
[6,4,1,7,5,2,8,3] => 1101101 => [2,1,2,1,1] => 252
[5,7,8,2,3,6,1,4] => 0010010 => [2,1,2,1,1] => 252
[4,8,7,1,2,5,6,3] => 0110001 => [1,2,3,1] => 185
[2,8,7,4,1,5,6,3] => 0111001 => [1,3,2,1] => 185
[8,6,2,1,5,7,4,3] => 1110011 => [3,2,2] => 105
[3,8,6,7,5,2,1,4] => 0101110 => [1,1,1,3,1] => 219
[6,1,3,7,5,8,2,4] => 1001010 => [1,2,1,1,1,1] => 345
[4,7,3,1,8,5,6,2] => 0110101 => [1,2,1,1,1,1] => 345
[2,6,7,5,3,4,8,1] => 0011001 => [2,2,2,1] => 211
[2,6,4,5,7,3,8,1] => 0100101 => [1,1,2,1,1,1] => 359
[6,1,4,5,8,3,7,2] => 1000101 => [1,3,1,1,1] => 219
[6,1,8,5,3,4,7,2] => 1011001 => [1,1,2,2,1] => 295
[4,1,5,6,8,3,7,2] => 1000101 => [1,3,1,1,1] => 219
[6,4,1,8,7,2,5,3] => 1101101 => [2,1,2,1,1] => 252
[8,1,2,3,4,5,6,7,10,9] => 100000001 => [1,7,1] => 65
[1,7,2,3,4,5,6,9,8] => 01000001 => [1,1,5,1] => 170
[1,3,8,5,2,7,4,6] => 0011010 => [2,2,1,1,1] => 255
[1,3,8,6,7,2,4,5] => 0010100 => [2,1,1,1,2] => 207
[2,8,3,7,6,1,4,5] => 0101100 => [1,1,1,2,2] => 255
[4,2,7,8,6,1,3,5] => 1001100 => [1,2,2,2] => 211
[1,3,8,7,6,2,4,5] => 0011100 => [2,3,2] => 126
[7,4,6,8,5,2,3,1] => 1001101 => [1,2,2,1,1] => 295
[7,5,3,6,8,2,1,4] => 1100110 => [2,2,2,1] => 211
[5,2,6,7,8,1,3,4] => 1000100 => [1,3,1,2] => 157
[4,5,6,8,1,2,7,3] => 0001001 => [3,1,2,1] => 137
[3,5,8,6,1,2,7,4] => 0011001 => [2,2,2,1] => 211
[4,2,6,8,7,1,3,5] => 1001100 => [1,2,2,2] => 211
[1,4,6,8,7,2,3,5] => 0001100 => [3,2,2] => 105
[4,5,3,8,1,7,2,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,5,8,4,1,7,2,6] => 0011010 => [2,2,1,1,1] => 255
[1,6,5,7,8,2,3,4] => 0100100 => [1,1,2,1,2] => 252
[5,6,4,8,2,3,7,1] => 0101001 => [1,1,1,1,2,1] => 345
[6,5,4,8,1,3,7,2] => 1101001 => [2,1,1,2,1] => 241
[7,6,4,8,5,1,3,2] => 1101101 => [2,1,2,1,1] => 252
[7,2,6,5,8,1,3,4] => 1010100 => [1,1,1,1,1,2] => 297
[6,3,7,5,2,4,8,1] => 1011001 => [1,1,2,2,1] => 295
[8,1,2,7,4,5,3,6] => 1001010 => [1,2,1,1,1,1] => 345
[2,5,7,4,6,1,3,8] => 0010100 => [2,1,1,1,2] => 207
[6,1,7,4,5,3,8,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,2,7,3,1,5,4,6] => 1011010 => [1,1,2,1,1,1] => 359
[2,6,4,8,3,1,7,5] => 0101101 => [1,1,1,2,1,1] => 359
[8,1,3,7,5,6,4,2] => 1001011 => [1,2,1,1,2] => 241
[1,2,5,3,8,6,7,4] => 0010101 => [2,1,1,1,1,1] => 297
[4,1,6,5,7,8,2,3] => 1010010 => [1,1,1,2,1,1] => 359
[6,1,3,7,4,2,8,5] => 1001101 => [1,2,2,1,1] => 295
[6,7,2,4,1,3,8,5] => 0101001 => [1,1,1,1,2,1] => 345
[7,3,8,4,2,6,5,1] => 1011011 => [1,1,2,1,2] => 252
[8,5,3,4,2,7,1,6] => 1101010 => [2,1,1,1,1,1] => 297
[1,3,8,2,5,6,7,4] => 0010001 => [2,1,3,1] => 157
[1,8,6,7,2,5,4,3] => 0101011 => [1,1,1,1,1,2] => 297
[7,6,8,3,5,4,2,1] => 1010111 => [1,1,1,1,3] => 165
[1,6,7,3,8,5,4,2] => 0010111 => [2,1,1,3] => 117
[8,7,2,4,6,1,5,3] => 1100101 => [2,2,1,1,1] => 255
[7,8,6,5,2,4,3,1] => 0111011 => [1,3,1,2] => 157
[3,6,7,5,2,8,4,1] => 0011011 => [2,2,1,2] => 180
[5,4,6,7,8,1,3,2] => 1000101 => [1,3,1,1,1] => 219
[5,3,6,7,8,1,4,2] => 1000101 => [1,3,1,1,1] => 219
[5,3,7,6,8,4,1,2] => 1010110 => [1,1,1,1,2,1] => 345
[7,5,3,2,8,6,4,1] => 1110111 => [3,1,3] => 69
[5,4,8,6,7,2,3,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,4,8,6,3,1,2,7] => 1011100 => [1,1,3,2] => 171
[4,5,7,3,6,2,8,1] => 0010101 => [2,1,1,1,1,1] => 297
[4,5,6,3,8,2,7,1] => 0010101 => [2,1,1,1,1,1] => 297
[5,4,8,7,2,1,3,6] => 1011100 => [1,1,3,2] => 171
[2,5,4,7,8,1,3,6] => 0100100 => [1,1,2,1,2] => 252
[5,3,6,4,8,2,7,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,3,7,4,6,2,8,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,2,6,3,7,4,5,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,2,4,7,3,5,6,1] => 1001001 => [1,2,1,2,1] => 281
[8,2,6,5,7,3,4,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,5,6,2,7,3,8,1] => 0010101 => [2,1,1,1,1,1] => 297
[5,4,6,2,8,3,7,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,4,6,1,7,2,5,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,2,1,6,3,8,7,4] => 1101011 => [2,1,1,1,2] => 207
[4,5,6,3,7,1,8,2] => 0010101 => [2,1,1,1,1,1] => 297
[6,3,2,8,5,4,1,7] => 1101110 => [2,1,3,1] => 157
[4,3,1,5,2,8,6,7] => 1101010 => [2,1,1,1,1,1] => 297
[8,5,4,1,3,2,6,7] => 1110100 => [3,1,1,2] => 117
[3,8,4,1,5,2,6,7] => 0110100 => [1,2,1,1,2] => 241
[2,5,4,3,8,1,6,7] => 0110100 => [1,2,1,1,2] => 241
[2,5,7,4,3,1,6,8] => 0011100 => [2,3,2] => 126
[5,3,4,2,7,1,6,8] => 1010100 => [1,1,1,1,1,2] => 297
[3,7,5,4,1,2,6,8] => 0111000 => [1,3,3] => 95
[4,2,5,1,3,8,7,6] => 1010011 => [1,1,1,2,2] => 255
[4,3,5,1,2,7,6,8] => 1010010 => [1,1,1,2,1,1] => 359
[5,3,4,1,7,2,6,8] => 1010100 => [1,1,1,1,1,2] => 297
[4,1,6,3,5,2,7,8] => 1010100 => [1,1,1,1,1,2] => 297
[4,2,1,8,6,3,7,5] => 1101101 => [2,1,2,1,1] => 252
[3,1,7,2,5,6,4,8] => 1010010 => [1,1,1,2,1,1] => 359
[3,7,5,4,2,1,6,8] => 0111100 => [1,4,2] => 81
[3,7,2,4,1,6,5,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[7,3,2,1,6,4,5,8] => 1110100 => [3,1,1,2] => 117
[2,8,6,1,7,4,3,5] => 0110110 => [1,2,1,2,1] => 281
[2,5,4,6,1,3,7,8] => 0101000 => [1,1,1,1,3] => 165
[2,5,6,4,1,3,7,8] => 0011000 => [2,2,3] => 105
[8,5,2,6,1,3,7,4] => 1101001 => [2,1,1,2,1] => 241
[7,1,5,6,3,2,4,8] => 1001100 => [1,2,2,2] => 211
[7,1,2,5,4,6,3,8] => 1001010 => [1,2,1,1,1,1] => 345
[2,4,1,6,5,3,7,8] => 0101100 => [1,1,1,2,2] => 255
[4,1,2,7,5,6,3,8] => 1001010 => [1,2,1,1,1,1] => 345
[7,1,2,6,5,4,3,8] => 1001110 => [1,2,3,1] => 185
[8,2,1,5,6,3,7,4] => 1100101 => [2,2,1,1,1] => 255
[6,1,4,5,3,2,7,8] => 1001100 => [1,2,2,2] => 211
[3,1,6,5,4,2,7,8] => 1011100 => [1,1,3,2] => 171
[3,1,4,6,5,2,7,8] => 1001100 => [1,2,2,2] => 211
[6,4,1,5,3,2,8,7] => 1101101 => [2,1,2,1,1] => 252
[2,1,8,6,3,7,5,4] => 1011011 => [1,1,2,1,2] => 252
[5,8,3,1,7,6,4,2] => 0110111 => [1,2,1,3] => 137
[7,6,3,2,8,5,1,4] => 1110110 => [3,1,2,1] => 137
[5,6,3,8,7,4,1,2] => 0101110 => [1,1,1,3,1] => 219
[5,2,6,8,7,4,1,3] => 1001110 => [1,2,3,1] => 185
[6,3,8,5,4,1,2,7] => 1011100 => [1,1,3,2] => 171
[6,3,8,4,5,1,2,7] => 1010100 => [1,1,1,1,1,2] => 297
[5,2,3,1,4,8,6,7] => 1010010 => [1,1,1,2,1,1] => 359
[5,4,1,3,2,8,6,7] => 1101010 => [2,1,1,1,1,1] => 297
[5,1,3,4,2,8,6,7] => 1001010 => [1,2,1,1,1,1] => 345
[5,2,1,4,3,8,6,7] => 1101010 => [2,1,1,1,1,1] => 297
[4,2,7,3,8,5,1,6] => 1010110 => [1,1,1,1,2,1] => 345
[4,7,3,2,8,5,1,6] => 0110110 => [1,2,1,2,1] => 281
[4,3,7,2,8,5,6,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,3,1,2,4,8,6,7] => 1100010 => [2,3,1,1] => 171
[5,4,3,1,2,8,6,7] => 1110010 => [3,2,1,1] => 145
[5,3,4,1,2,8,6,7] => 1010010 => [1,1,1,2,1,1] => 359
[5,2,3,4,1,8,6,7] => 1001010 => [1,2,1,1,1,1] => 345
[5,1,7,3,4,6,8,2] => 1010001 => [1,1,1,3,1] => 219
[5,8,7,4,3,1,6,2] => 0111101 => [1,4,1,1] => 107
[6,8,1,3,4,5,7,2] => 0100001 => [1,1,4,1] => 107
[3,5,2,8,1,6,7,4] => 0101001 => [1,1,1,1,2,1] => 345
[3,1,7,8,2,5,4,6] => 1001010 => [1,2,1,1,1,1] => 345
[6,2,3,7,4,1,8,5] => 1001101 => [1,2,2,1,1] => 295
[6,3,7,4,1,2,5,8] => 1011000 => [1,1,2,3] => 145
[3,7,2,8,6,5,1,4] => 0101110 => [1,1,1,3,1] => 219
[3,6,7,5,1,2,4,8] => 0011000 => [2,2,3] => 105
[7,4,5,1,8,2,3,6] => 1010100 => [1,1,1,1,1,2] => 297
[7,2,3,1,8,4,5,6] => 1010100 => [1,1,1,1,1,2] => 297
[2,1,4,8,3,7,5,6] => 1001010 => [1,2,1,1,1,1] => 345
[4,8,1,6,7,3,2,5] => 0100110 => [1,1,2,2,1] => 295
[1,2,7,8,4,3,6,5] => 0001101 => [3,2,1,1] => 145
[5,8,1,4,3,2,7,6] => 0101101 => [1,1,1,2,1,1] => 359
[4,8,1,3,5,6,2,7] => 0100010 => [1,1,3,1,1] => 233
[5,3,7,8,4,2,6,1] => 1001101 => [1,2,2,1,1] => 295
[6,3,7,8,2,4,5,1] => 1001001 => [1,2,1,2,1] => 281
[8,5,2,4,3,1,7,6] => 1101101 => [2,1,2,1,1] => 252
[7,5,4,2,3,1,8,6] => 1110101 => [3,1,1,1,1] => 165
[3,5,6,4,8,1,7,2] => 0010101 => [2,1,1,1,1,1] => 297
[3,5,4,6,7,1,8,2] => 0100101 => [1,1,2,1,1,1] => 359
[1,4,2,6,5,8,7,3] => 0101011 => [1,1,1,1,1,2] => 297
[1,3,2,6,4,8,7,5] => 0101011 => [1,1,1,1,1,2] => 297
[1,4,2,5,3,8,7,6] => 0101011 => [1,1,1,1,1,2] => 297
[1,5,2,6,4,8,7,3] => 0101011 => [1,1,1,1,1,2] => 297
[1,6,2,5,3,8,7,4] => 0101011 => [1,1,1,1,1,2] => 297
[2,5,1,4,3,8,7,6] => 0101011 => [1,1,1,1,1,2] => 297
[1,7,3,5,4,8,6,2] => 0101011 => [1,1,1,1,1,2] => 297
[1,8,2,6,3,7,5,4] => 0101011 => [1,1,1,1,1,2] => 297
[1,8,3,6,4,7,5,2] => 0101011 => [1,1,1,1,1,2] => 297
[1,7,2,6,4,8,5,3] => 0101011 => [1,1,1,1,1,2] => 297
[1,7,2,6,3,8,5,4] => 0101011 => [1,1,1,1,1,2] => 297
[1,5,2,7,4,8,6,3] => 0101011 => [1,1,1,1,1,2] => 297
[1,4,2,8,5,7,6,3] => 0101011 => [1,1,1,1,1,2] => 297
[4,8,1,3,2,6,5,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,5,3,8,4,7,6,2] => 0101011 => [1,1,1,1,1,2] => 297
[1,8,4,7,3,6,5,2] => 0101011 => [1,1,1,1,1,2] => 297
[2,6,3,8,1,5,4,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[8,3,1,4,2,6,5,7] => 1101010 => [2,1,1,1,1,1] => 297
[4,8,7,3,5,2,1,6] => 0110110 => [1,2,1,2,1] => 281
[6,8,7,3,5,2,4,1] => 0110101 => [1,2,1,1,1,1] => 345
[8,3,5,1,2,6,4,7] => 1010010 => [1,1,1,2,1,1] => 359
[8,6,3,1,5,4,2,7] => 1110110 => [3,1,2,1] => 137
[8,6,4,1,5,3,2,7] => 1110110 => [3,1,2,1] => 137
[8,6,5,4,1,3,2,7] => 1111010 => [4,1,1,1] => 75
[5,3,8,7,4,6,2,1] => 1011011 => [1,1,2,1,2] => 252
[2,3,8,7,4,6,1,5] => 0011010 => [2,2,1,1,1] => 255
[8,3,5,7,4,1,2,6] => 1001100 => [1,2,2,2] => 211
[4,8,5,3,1,2,7,6] => 0111001 => [1,3,2,1] => 185
[6,8,7,3,1,5,4,2] => 0111011 => [1,3,1,2] => 157
[6,8,5,4,1,3,7,2] => 0111001 => [1,3,2,1] => 185
[2,5,8,7,4,6,3,1] => 0011011 => [2,2,1,2] => 180
[4,8,7,6,5,1,3,2] => 0111101 => [1,4,1,1] => 107
[3,8,7,5,1,6,2,4] => 0111010 => [1,3,1,1,1] => 219
[2,3,8,7,5,6,1,4] => 0011010 => [2,2,1,1,1] => 255
[2,8,7,1,3,6,4,5] => 0110010 => [1,2,2,1,1] => 295
[8,5,4,7,2,1,3,6] => 1101100 => [2,1,2,2] => 180
[6,8,7,3,5,2,1,4] => 0110110 => [1,2,1,2,1] => 281
[3,5,8,6,4,2,7,1] => 0011101 => [2,3,1,1] => 171
[6,8,4,1,5,2,7,3] => 0110101 => [1,2,1,1,1,1] => 345
[6,8,2,1,7,5,3,4] => 0110110 => [1,2,1,2,1] => 281
[5,8,4,6,1,2,7,3] => 0101001 => [1,1,1,1,2,1] => 345
[2,4,8,6,5,1,7,3] => 0011101 => [2,3,1,1] => 171
[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] => 219
[4,5,2,1,8,6,7,3] => 0110101 => [1,2,1,1,1,1] => 345
[4,5,8,3,1,6,7,2] => 0011001 => [2,2,2,1] => 211
[5,7,2,8,4,6,1,3] => 0101010 => [1,1,1,1,1,1,1] => 429
[6,7,3,2,4,8,5,1] => 0110011 => [1,2,2,2] => 211
[7,2,8,6,4,5,1,3] => 1011010 => [1,1,2,1,1,1] => 359
[8,7,2,6,5,1,3,4] => 1101100 => [2,1,2,2] => 180
[5,2,7,8,4,1,3,6] => 1001100 => [1,2,2,2] => 211
[2,7,8,6,4,1,3,5] => 0011100 => [2,3,2] => 126
[7,6,3,5,2,8,4,1] => 1101011 => [2,1,1,1,2] => 207
[6,2,7,4,8,5,3,1] => 1010111 => [1,1,1,1,3] => 165
[8,6,5,1,7,2,4,3] => 1110101 => [3,1,1,1,1] => 165
[6,8,5,1,7,3,2,4] => 0110110 => [1,2,1,2,1] => 281
[1,6,8,3,7,4,2,5] => 0010110 => [2,1,1,2,1] => 241
[5,1,6,3,4,8,2,7] => 1010010 => [1,1,1,2,1,1] => 359
[3,5,2,6,4,8,1,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,5,2,4,8,1,7,6] => 0100101 => [1,1,2,1,1,1] => 359
[6,3,8,2,4,1,7,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,6,3,8,7,5,2,1] => 0101111 => [1,1,1,4] => 75
[6,3,8,7,5,4,2,1] => 1011111 => [1,1,5] => 27
[6,8,4,2,1,7,5,3] => 0111011 => [1,3,1,2] => 157
[5,2,6,4,3,8,1,7] => 1011010 => [1,1,2,1,1,1] => 359
[6,5,3,1,4,8,2,7] => 1110010 => [3,2,1,1] => 145
[3,1,7,8,6,4,2,5] => 1001110 => [1,2,3,1] => 185
[3,8,1,7,6,2,5,4] => 0101101 => [1,1,1,2,1,1] => 359
[8,1,7,6,4,2,5,3] => 1011101 => [1,1,3,1,1] => 233
[7,2,6,3,8,5,4,1] => 1010111 => [1,1,1,1,3] => 165
[7,3,8,6,4,1,5,2] => 1011101 => [1,1,3,1,1] => 233
[1,7,5,8,2,4,3,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[6,1,5,2,4,8,3,7] => 1010010 => [1,1,1,2,1,1] => 359
[1,5,6,3,8,2,4,7] => 0010100 => [2,1,1,1,2] => 207
[8,7,1,3,6,5,2,4] => 1100110 => [2,2,2,1] => 211
[2,6,7,4,3,8,5,1] => 0011011 => [2,2,1,2] => 180
[5,2,4,7,3,8,6,1] => 1001011 => [1,2,1,1,2] => 241
[1,5,8,7,2,4,6,3] => 0011001 => [2,2,2,1] => 211
[1,4,8,7,3,6,5,2] => 0011011 => [2,2,1,2] => 180
[8,3,7,2,5,1,6,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[3,7,2,8,1,5,4,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,2,6,1,5,8,4,7] => 1010010 => [1,1,1,2,1,1] => 359
[7,2,1,5,8,4,3,6] => 1100110 => [2,2,2,1] => 211
[7,2,8,1,4,3,6,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[1,7,8,3,2,6,5,4] => 0011011 => [2,2,1,2] => 180
[1,7,4,8,3,2,6,5] => 0101101 => [1,1,1,2,1,1] => 359
[1,7,5,4,8,3,2,6] => 0110110 => [1,2,1,2,1] => 281
[6,1,5,4,3,8,2,7] => 1011010 => [1,1,2,1,1,1] => 359
[1,7,4,5,6,8,2,3] => 0100010 => [1,1,3,1,1] => 233
[1,3,4,5,6,7,9,8,2] => 00000011 => [6,2] => 28
[2,3,4,5,6,7,9,8,1,10] => 000000110 => [6,2,1] => 140
[7,3,4,5,6,8,1,2,9] => 10000100 => [1,4,1,2] => 303
[2,3,4,5,7,6,8,1,9] => 00001010 => [4,1,1,1,1] => 275
[1,8,4,5,6,7,9,2,3] => 01000010 => [1,1,4,1,1] => 450
[1,3,4,5,6,8,7,9,2] => 00000101 => [5,1,1,1] => 110
[1,3,4,5,6,7,8,10,9,2] => 000000011 => [7,2] => 36
[1,6,4,2,3,5,7,8] => 0110000 => [1,2,4] => 65
[1,8,7,2,3,4,5,6] => 0110000 => [1,2,4] => 65
[1,5,8,6,2,3,4,7] => 0011000 => [2,2,3] => 105
[1,6,5,7,2,3,4,8] => 0101000 => [1,1,1,1,3] => 165
[1,7,5,6,2,3,4,8] => 0101000 => [1,1,1,1,3] => 165
[1,3,2,7,6,4,5,8] => 0101100 => [1,1,1,2,2] => 255
[1,2,3,7,6,4,5,8] => 0001100 => [3,2,2] => 105
[1,5,4,2,3,7,6,8] => 0110010 => [1,2,2,1,1] => 295
[1,5,4,2,3,8,6,7] => 0110010 => [1,2,2,1,1] => 295
[1,3,2,8,6,4,5,7] => 0101100 => [1,1,1,2,2] => 255
[1,7,5,8,2,3,4,6] => 0101000 => [1,1,1,1,3] => 165
[1,8,7,5,2,3,4,6] => 0111000 => [1,3,3] => 95
[2,1,5,8,6,3,7,4] => 1001101 => [1,2,2,1,1] => 295
[2,5,8,4,6,1,7,3] => 0010101 => [2,1,1,1,1,1] => 297
[2,5,3,8,6,1,7,4] => 0101101 => [1,1,1,2,1,1] => 359
[2,6,3,5,8,1,7,4] => 0100101 => [1,1,2,1,1,1] => 359
[6,3,2,5,8,1,7,4] => 1100101 => [2,2,1,1,1] => 255
[5,3,2,8,6,1,7,4] => 1101101 => [2,1,2,1,1] => 252
[5,8,4,6,1,3,7,2] => 0101001 => [1,1,1,1,2,1] => 345
[5,3,8,6,1,4,7,2] => 1011001 => [1,1,2,2,1] => 295
[2,6,5,4,8,1,7,3] => 0110101 => [1,2,1,1,1,1] => 345
[8,3,5,7,2,6,4,1] => 1001011 => [1,2,1,1,2] => 241
[2,4,6,8,5,3,7,1] => 0001101 => [3,2,1,1] => 145
[2,4,8,1,7,6,5,3] => 0010111 => [2,1,1,3] => 117
[4,3,8,1,5,7,6,2] => 1010011 => [1,1,1,2,2] => 255
[3,8,4,1,5,7,6,2] => 0110011 => [1,2,2,2] => 211
[4,3,6,8,5,2,7,1] => 1001101 => [1,2,2,1,1] => 295
[8,5,4,7,2,6,3,1] => 1101011 => [2,1,1,1,2] => 207
[3,6,8,5,4,2,7,1] => 0011101 => [2,3,1,1] => 171
[3,6,4,8,5,2,7,1] => 0101101 => [1,1,1,2,1,1] => 359
[3,6,4,1,8,2,7,5] => 0110101 => [1,2,1,1,1,1] => 345
[3,6,4,1,5,2,8,7] => 0110101 => [1,2,1,1,1,1] => 345
[4,8,6,5,1,3,7,2] => 0111001 => [1,3,2,1] => 185
[2,8,3,5,6,7,1,4] => 0100010 => [1,1,3,1,1] => 233
[5,6,2,4,7,1,8,3] => 0100101 => [1,1,2,1,1,1] => 359
[2,7,5,4,6,1,8,3] => 0110101 => [1,2,1,1,1,1] => 345
[2,3,7,4,6,1,8,5] => 0010101 => [2,1,1,1,1,1] => 297
[2,6,7,4,1,3,8,5] => 0011001 => [2,2,2,1] => 211
[6,5,7,4,1,3,8,2] => 1011001 => [1,1,2,2,1] => 295
[2,4,6,3,5,7,8,1] => 0010001 => [2,1,3,1] => 157
[4,1,6,3,5,7,8,2] => 1010001 => [1,1,1,3,1] => 219
[3,6,4,2,5,7,8,1] => 0110001 => [1,2,3,1] => 185
[2,3,6,1,5,7,8,4] => 0010001 => [2,1,3,1] => 157
[4,3,6,2,5,7,8,1] => 1010001 => [1,1,1,3,1] => 219
[4,6,1,2,5,7,8,3] => 0100001 => [1,1,4,1] => 107
[2,6,4,1,5,7,8,3] => 0110001 => [1,2,3,1] => 185
[2,4,1,6,5,7,8,3] => 0101001 => [1,1,1,1,2,1] => 345
[7,5,4,2,6,1,8,3] => 1110101 => [3,1,1,1,1] => 165
[4,7,3,1,8,6,5,2] => 0110111 => [1,2,1,3] => 137
[5,6,4,2,7,1,8,3] => 0110101 => [1,2,1,1,1,1] => 345
[4,2,7,5,3,1,8,6] => 1011101 => [1,1,3,1,1] => 233
[5,3,6,4,8,2,1,7] => 1010110 => [1,1,1,1,2,1] => 345
[7,3,2,5,4,1,8,6] => 1101101 => [2,1,2,1,1] => 252
[7,3,2,5,1,8,6,4] => 1101011 => [2,1,1,1,2] => 207
[4,6,3,8,7,2,1,5] => 0101110 => [1,1,1,3,1] => 219
[4,7,6,3,8,2,1,5] => 0110110 => [1,2,1,2,1] => 281
[4,7,3,8,6,2,1,5] => 0101110 => [1,1,1,3,1] => 219
[5,7,3,2,6,1,8,4] => 0110101 => [1,2,1,1,1,1] => 345
[5,7,3,2,6,4,1,8] => 0110110 => [1,2,1,2,1] => 281
[2,7,5,3,1,8,6,4] => 0111011 => [1,3,1,2] => 157
[7,5,2,8,4,3,1,6] => 1101110 => [2,1,3,1] => 157
[7,3,2,4,1,8,6,5] => 1101011 => [2,1,1,1,2] => 207
[8,4,3,2,7,5,1,6] => 1110110 => [3,1,2,1] => 137
[4,3,7,5,8,2,1,6] => 1010110 => [1,1,1,1,2,1] => 345
[8,4,5,3,7,2,1,6] => 1010110 => [1,1,1,1,2,1] => 345
[4,3,5,2,8,6,1,7] => 1010110 => [1,1,1,1,2,1] => 345
[4,5,3,6,8,2,1,7] => 0100110 => [1,1,2,2,1] => 295
[1,2,3,4,5,9,7,8,6] => 00000101 => [5,1,1,1] => 110
[1,2,3,4,9,6,7,8,5] => 00001001 => [4,1,2,1] => 235
[1,2,3,9,5,6,7,8,4] => 00010001 => [3,1,3,1] => 332
[1,2,9,4,5,6,7,8,3] => 00100001 => [2,1,4,1] => 303
[1,2,3,4,5,6,10,8,9,7] => 000000101 => [6,1,1,1] => 154
[1,2,3,4,9,7,6,8,5] => 00001101 => [4,2,1,1] => 250
[1,2,3,4,5,10,7,8,9,6] => 000001001 => [5,1,2,1] => 375
[1,2,8,6,4,5,7,3] => 0011001 => [2,2,2,1] => 211
[1,2,3,9,6,5,7,8,4] => 00011001 => [3,2,2,1] => 436
[1,2,3,4,10,6,7,8,9,5] => 000010001 => [4,1,3,1] => 626
[1,8,5,3,4,6,7,2] => 0110001 => [1,2,3,1] => 185
[1,2,9,5,4,6,7,8,3] => 00110001 => [2,2,3,1] => 500
[1,2,3,10,5,6,7,8,9,4] => 000100001 => [3,1,4,1] => 709
[1,9,4,3,5,6,7,8,2] => 01100001 => [1,2,4,1] => 358
[1,2,10,4,5,6,7,8,9,3] => 001000001 => [2,1,5,1] => 534
[9,3,2,4,5,6,7,8,1] => 11000001 => [2,5,1] => 133
[10,2,3,4,5,6,7,8,9,1] => 100000001 => [1,7,1] => 65
[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] => 345
[8,7,5,6,1,3,4,2] => 1101001 => [2,1,1,2,1] => 241
[1,2,3,5,7,4,6,9,8] => 00001001 => [4,1,2,1] => 235
[1,2,3,6,4,7,5,9,8] => 00010101 => [3,1,1,1,1,1] => 572
[1,2,3,4,6,8,5,7,10,9] => 000001001 => [5,1,2,1] => 375
[1,2,3,4,6,8,5,7,9] => 00000100 => [5,1,2] => 83
[1,2,3,4,7,5,8,6,9] => 00001010 => [4,1,1,1,1] => 275
[1,2,3,4,7,5,8,6,10,9] => 000010101 => [4,1,1,1,1,1] => 1001
[1,2,3,5,7,4,6,9,8,10] => 000010010 => [4,1,2,1,1] => 901
[1,2,5,7,3,4,6,9,8] => 00010001 => [3,1,3,1] => 332
[1,2,4,5,7,3,6,9,8] => 00001001 => [4,1,2,1] => 235
[1,2,6,3,4,7,5,9,8] => 00100101 => [2,1,2,1,1,1] => 875
[1,2,5,6,3,7,4,9,8] => 00010101 => [3,1,1,1,1,1] => 572
[1,2,3,6,4,7,5,9,8,10] => 000101010 => [3,1,1,1,1,1,1] => 2002
[3,2,6,4,1,8,5,7] => 1011010 => [1,1,2,1,1,1] => 359
[2,8,6,5,3,1,4,7] => 0111100 => [1,4,2] => 81
[5,4,8,6,2,3,1,7] => 1011010 => [1,1,2,1,1,1] => 359
[4,8,7,5,2,3,1,6] => 0111010 => [1,3,1,1,1] => 219
[5,2,4,7,6,8,3,1] => 1001011 => [1,2,1,1,2] => 241
[3,4,2,8,7,5,1,6] => 0101110 => [1,1,1,3,1] => 219
[8,5,7,6,3,2,4,1] => 1011101 => [1,1,3,1,1] => 233
[6,4,1,8,7,3,2,5] => 1101110 => [2,1,3,1] => 157
[1,8,5,4,2,7,3,6] => 0111010 => [1,3,1,1,1] => 219
[3,6,5,8,2,7,4,1] => 0101011 => [1,1,1,1,1,2] => 297
[8,3,2,7,4,6,5,1] => 1101011 => [2,1,1,1,2] => 207
[7,5,8,4,1,3,6,2] => 1011001 => [1,1,2,2,1] => 295
[7,1,6,2,3,8,4,5] => 1010010 => [1,1,1,2,1,1] => 359
[6,4,7,1,3,2,8,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,1,3,8,7,2,6,4] => 1001101 => [1,2,2,1,1] => 295
[8,7,1,6,2,5,3,4] => 1101010 => [2,1,1,1,1,1] => 297
[3,8,5,2,4,7,6,1] => 0110011 => [1,2,2,2] => 211
[7,1,5,2,4,8,3,6] => 1010010 => [1,1,1,2,1,1] => 359
[3,8,5,1,4,7,2,6] => 0110010 => [1,2,2,1,1] => 295
[7,2,5,4,1,3,8,6] => 1011001 => [1,1,2,2,1] => 295
[7,5,8,1,6,3,2,4] => 1010110 => [1,1,1,1,2,1] => 345
[7,1,4,8,5,6,2,3] => 1001010 => [1,2,1,1,1,1] => 345
[2,3,1,9,4,5,6,7,8] => 01010000 => [1,1,1,1,4] => 275
[4,9,1,2,3,5,6,7,8] => 01000000 => [1,1,6] => 35
[3,9,1,2,4,5,6,7,8] => 01000000 => [1,1,6] => 35
[1,8,2,3,4,5,6,7,9] => 01000000 => [1,1,6] => 35
[7,4,6,1,3,2,5,8] => 1010100 => [1,1,1,1,1,2] => 297
[1,4,5,8,6,3,2,7] => 0001110 => [3,3,1] => 95
[8,4,5,7,2,6,1,3] => 1001010 => [1,2,1,1,1,1] => 345
[4,5,2,6,7,3,1,8] => 0100110 => [1,1,2,2,1] => 295
[8,1,7,5,3,6,2,4] => 1011010 => [1,1,2,1,1,1] => 359
[5,2,8,3,6,1,4,7] => 1010100 => [1,1,1,1,1,2] => 297
[5,2,6,3,1,7,8,4] => 1011001 => [1,1,2,2,1] => 295
[4,3,5,1,6,7,8,2] => 1010001 => [1,1,1,3,1] => 219
[5,7,6,1,2,3,8,4] => 0110001 => [1,2,3,1] => 185
[3,6,7,5,1,2,8,4] => 0011001 => [2,2,2,1] => 211
[1,7,6,8,5,2,4,3] => 0101101 => [1,1,1,2,1,1] => 359
[5,7,6,8,1,2,4,3] => 0101001 => [1,1,1,1,2,1] => 345
[5,6,3,7,1,4,8,2] => 0101001 => [1,1,1,1,2,1] => 345
[5,3,2,1,8,6,4,7] => 1110110 => [3,1,2,1] => 137
[9,8,7,5,6,4,3,2,1] => 11101111 => [3,1,4] => 125
[2,1,9,8,6,7,5,4,3] => 10110111 => [1,1,2,1,3] => 502
[10,9,8,7,5,6,4,3,2,1] => 111101111 => [4,1,4] => 251
[9,8,7,5,4,6,3,2,1] => 11110111 => [4,1,3] => 125
[9,8,7,4,6,5,3,2,1] => 11101111 => [3,1,4] => 125
[2,1,9,8,6,5,7,4,3] => 10111011 => [1,1,3,1,2] => 609
[2,1,9,8,5,7,6,4,3] => 10110111 => [1,1,2,1,3] => 502
[2,1,10,9,8,6,7,5,4,3] => 101110111 => [1,1,3,1,3] => 1330
[1,8,7,6,5,4,3,2,9] => 01111110 => [1,6,1] => 50
[1,9,8,7,6,5,4,3,2,10] => 011111110 => [1,7,1] => 65
[2,1,8,7,6,5,4,3,9] => 10111110 => [1,1,5,1] => 170
[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] => 295
[1,8,5,4,6,7,2,3] => 0110010 => [1,2,2,1,1] => 295
[6,5,8,3,7,2,1,4] => 1010110 => [1,1,1,1,2,1] => 345
[7,8,5,3,6,2,1,4] => 0110110 => [1,2,1,2,1] => 281
[7,8,5,3,6,2,4,1] => 0110101 => [1,2,1,1,1,1] => 345
[7,8,4,3,2,6,5,1] => 0111011 => [1,3,1,2] => 157
[1,8,4,3,2,6,7,5] => 0111001 => [1,3,2,1] => 185
[5,4,3,8,2,1,7,6] => 1101101 => [2,1,2,1,1] => 252
[6,4,8,3,2,1,7,5] => 1011101 => [1,1,3,1,1] => 233
[1,8,4,3,2,7,6,5] => 0111011 => [1,3,1,2] => 157
[6,5,8,3,1,2,7,4] => 1011001 => [1,1,2,2,1] => 295
[1,8,6,7,3,2,4,5] => 0101100 => [1,1,1,2,2] => 255
[7,8,6,1,3,2,4,5] => 0110100 => [1,2,1,1,2] => 241
[1,8,4,3,2,7,5,6] => 0111010 => [1,3,1,1,1] => 219
[5,4,3,8,2,1,6,7] => 1101100 => [2,1,2,2] => 180
[1,8,4,3,2,5,7,6] => 0111001 => [1,3,2,1] => 185
[5,4,3,8,2,6,7,1] => 1101001 => [2,1,1,2,1] => 241
[4,5,6,7,8,1,2,9,3] => 00001001 => [4,1,2,1] => 235
[4,5,6,7,1,2,8,9,3] => 00010001 => [3,1,3,1] => 332
[4,5,6,1,2,7,8,9,3] => 00100001 => [2,1,4,1] => 303
[4,5,1,2,6,7,8,9,3] => 01000001 => [1,1,5,1] => 170
[6,4,2,3,5,1,8,7] => 1100101 => [2,2,1,1,1] => 255
[5,2,3,6,1,4,8,7] => 1001001 => [1,2,1,2,1] => 281
[5,2,3,8,6,4,7,1] => 1001101 => [1,2,2,1,1] => 295
[5,2,3,7,4,8,1,6] => 1001010 => [1,2,1,1,1,1] => 345
[8,6,3,2,5,4,7,1] => 1110101 => [3,1,1,1,1] => 165
[7,2,3,4,5,8,1,6] => 1000010 => [1,4,1,1] => 107
[7,2,8,1,5,3,4,6] => 1010100 => [1,1,1,1,1,2] => 297
[3,8,6,4,7,2,5,1] => 0110101 => [1,2,1,1,1,1] => 345
[2,1,8,6,4,5,7,3] => 1011001 => [1,1,2,2,1] => 295
[4,8,2,5,7,3,1,6] => 0100110 => [1,1,2,2,1] => 295
[5,8,2,3,4,7,1,6] => 0100010 => [1,1,3,1,1] => 233
[6,3,4,7,8,2,1,5] => 1000110 => [1,3,2,1] => 185
[3,8,5,1,4,7,6,2] => 0110011 => [1,2,2,2] => 211
[4,8,5,1,3,6,7,2] => 0110001 => [1,2,3,1] => 185
[4,6,8,5,2,7,3,1] => 0011011 => [2,2,1,2] => 180
[3,7,8,5,2,6,4,1] => 0011011 => [2,2,1,2] => 180
[3,8,6,2,7,4,5,1] => 0110101 => [1,2,1,1,1,1] => 345
[8,5,4,7,1,3,6,2] => 1101001 => [2,1,1,2,1] => 241
[7,3,6,2,8,1,5,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,1,5,2,3,7,6,4] => 1010011 => [1,1,1,2,2] => 255
[6,4,2,3,7,8,5,1] => 1100011 => [2,3,2] => 126
[8,4,2,3,6,7,1,5] => 1100010 => [2,3,1,1] => 171
[4,5,8,3,7,2,1,6] => 0010110 => [2,1,1,2,1] => 241
[3,7,2,8,4,5,1,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,5,1,8,4,6,2,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,2,1,5,6,8,3,7] => 1100010 => [2,3,1,1] => 171
[4,1,2,6,5,8,3,7] => 1001010 => [1,2,1,1,1,1] => 345
[4,1,8,3,2,6,7,5] => 1011001 => [1,1,2,2,1] => 295
[4,2,7,5,8,1,3,6] => 1010100 => [1,1,1,1,1,2] => 297
[4,6,2,7,8,3,1,5] => 0100110 => [1,1,2,2,1] => 295
[4,6,1,3,8,2,5,7] => 0100100 => [1,1,2,1,2] => 252
[4,3,6,2,1,8,7,5] => 1011011 => [1,1,2,1,2] => 252
[3,7,4,5,1,6,2,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,6,4,5,8,2,1,7] => 0100110 => [1,1,2,2,1] => 295
[6,1,4,5,2,8,7,3] => 1001011 => [1,2,1,1,2] => 241
[7,2,4,5,1,6,3,8] => 1001010 => [1,2,1,1,1,1] => 345
[7,5,4,1,6,3,2,8] => 1110110 => [3,1,2,1] => 137
[1,5,4,8,6,3,2,7] => 0101110 => [1,1,1,3,1] => 219
[7,5,4,8,6,3,1,2] => 1101110 => [2,1,3,1] => 157
[1,8,7,5,3,6,4,2] => 0111011 => [1,3,1,2] => 157
[8,3,7,4,1,6,2,5] => 1011010 => [1,1,2,1,1,1] => 359
[8,5,4,1,6,3,2,7] => 1110110 => [3,1,2,1] => 137
[1,7,4,2,6,5,3,8] => 0110110 => [1,2,1,2,1] => 281
[8,2,1,5,6,7,3,4] => 1100010 => [2,3,1,1] => 171
[6,3,1,8,4,7,2,5] => 1101010 => [2,1,1,1,1,1] => 297
[7,1,4,8,6,3,2,5] => 1001110 => [1,2,3,1] => 185
[4,1,8,5,6,7,2,3] => 1010010 => [1,1,1,2,1,1] => 359
[5,7,4,8,6,2,1,3] => 0101110 => [1,1,1,3,1] => 219
[5,3,6,8,2,7,1,4] => 1001010 => [1,2,1,1,1,1] => 345
[6,3,7,4,8,2,1,5] => 1010110 => [1,1,1,1,2,1] => 345
[5,3,6,1,4,7,2,8] => 1010010 => [1,1,1,2,1,1] => 359
[4,3,6,8,2,7,1,5] => 1001010 => [1,2,1,1,1,1] => 345
[5,3,7,4,8,2,1,6] => 1010110 => [1,1,1,1,2,1] => 345
[5,3,8,4,1,6,2,7] => 1011010 => [1,1,2,1,1,1] => 359
[5,3,8,1,4,7,2,6] => 1010010 => [1,1,1,2,1,1] => 359
[5,8,4,1,6,3,2,7] => 0110110 => [1,2,1,2,1] => 281
[7,3,8,4,1,6,2,5] => 1011010 => [1,1,2,1,1,1] => 359
[1,5,8,3,6,7,4,2] => 0010011 => [2,1,2,2] => 180
[1,8,2,5,6,7,3,4] => 0100010 => [1,1,3,1,1] => 233
[7,8,4,1,6,5,2,3] => 0110110 => [1,2,1,2,1] => 281
[6,3,8,1,5,7,2,4] => 1010010 => [1,1,1,2,1,1] => 359
[8,3,1,2,5,7,4,6] => 1100010 => [2,3,1,1] => 171
[8,1,4,2,6,5,3,7] => 1010110 => [1,1,1,1,2,1] => 345
[7,8,1,2,3,4,5,9,6] => 01000001 => [1,1,5,1] => 170
[2,8,9,1,3,4,5,6,7] => 00100000 => [2,1,5] => 83
[2,8,9,10,1,3,4,5,6,7] => 000100000 => [3,1,5] => 209
[7,1,8,2,9,3,4,5,6] => 10101000 => [1,1,1,1,1,3] => 572
[6,1,7,2,8,3,9,4,5] => 10101010 => [1,1,1,1,1,1,1,1] => 1430
[5,1,6,2,7,3,8,4,9] => 10101010 => [1,1,1,1,1,1,1,1] => 1430
[8,1,9,2,10,3,4,5,6,7] => 101010000 => [1,1,1,1,1,4] => 1001
[7,1,8,2,3,9,4,5,6] => 10100100 => [1,1,1,2,1,2] => 875
[7,1,8,2,9,3,10,4,5,6] => 101010100 => [1,1,1,1,1,1,1,2] => 3432
[6,1,7,2,8,3,4,9,5] => 10101001 => [1,1,1,1,1,2,1] => 1166
[5,1,6,2,7,3,9,4,8] => 10101010 => [1,1,1,1,1,1,1,1] => 1430
[5,1,6,2,7,3,8,4,10,9] => 101010101 => [1,1,1,1,1,1,1,1,1] => 4862
[4,1,5,2,7,3,8,6,9] => 10101010 => [1,1,1,1,1,1,1,1] => 1430
[4,1,5,2,6,3,8,7,10,9] => 101010101 => [1,1,1,1,1,1,1,1,1] => 4862
[5,1,3,7,4,8,2,6] => 1001010 => [1,2,1,1,1,1] => 345
[5,1,3,4,7,8,2,6] => 1000010 => [1,4,1,1] => 107
[2,5,8,7,4,3,6,1] => 0011101 => [2,3,1,1] => 171
[5,1,7,8,3,4,2,6] => 1001010 => [1,2,1,1,1,1] => 345
[2,5,4,8,3,7,6,1] => 0101011 => [1,1,1,1,1,2] => 297
[5,6,8,2,3,4,1,7] => 0010010 => [2,1,2,1,1] => 252
[2,3,5,7,4,6,8,1] => 0001001 => [3,1,2,1] => 137
[3,7,4,5,8,1,2,6] => 0100100 => [1,1,2,1,2] => 252
[3,7,8,1,4,5,2,6] => 0010010 => [2,1,2,1,1] => 252
[5,8,2,1,6,3,4,7] => 0110100 => [1,2,1,1,2] => 241
[4,8,1,3,7,5,2,6] => 0100110 => [1,1,2,2,1] => 295
[2,4,7,8,5,3,6,1] => 0001101 => [3,2,1,1] => 145
[5,3,1,4,7,2,8,6] => 1100101 => [2,2,1,1,1] => 255
[4,3,8,5,1,2,7,6] => 1011001 => [1,1,2,2,1] => 295
[2,4,7,5,8,3,6,1] => 0010101 => [2,1,1,1,1,1] => 297
[4,3,5,8,2,1,7,6] => 1001101 => [1,2,2,1,1] => 295
[4,8,5,7,3,1,2,6] => 0101100 => [1,1,1,2,2] => 255
[4,8,7,5,1,3,2,6] => 0111010 => [1,3,1,1,1] => 219
[4,2,8,5,1,3,6,7] => 1011000 => [1,1,2,3] => 145
[3,7,8,4,1,5,2,6] => 0011010 => [2,2,1,1,1] => 255
[3,4,7,5,8,2,1,6] => 0010110 => [2,1,1,2,1] => 241
[1,8,5,7,2,4,3,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,8,5,4,2,3,6,7] => 0111000 => [1,3,3] => 95
[1,3,6,8,5,4,2,7] => 0001110 => [3,3,1] => 95
[1,6,3,8,2,7,4,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,8,2,3,6,7,5,4] => 0100011 => [1,1,3,2] => 171
[1,3,6,8,2,7,5,4] => 0001011 => [3,1,1,2] => 117
[1,6,5,4,3,8,2,7] => 0111010 => [1,3,1,1,1] => 219
[1,8,3,4,5,6,2,7] => 0100010 => [1,1,3,1,1] => 233
[1,8,3,6,2,4,5,7] => 0101000 => [1,1,1,1,3] => 165
[1,4,5,8,3,6,2,7] => 0001010 => [3,1,1,1,1] => 165
[1,2,7,8,4,5,3,6] => 0001010 => [3,1,1,1,1] => 165
[7,2,8,5,6,3,4,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,6,3,8,5,4,2,1] => 1101111 => [2,1,4] => 55
[6,2,8,7,5,4,1,3] => 1011110 => [1,1,4,1] => 107
[6,2,8,4,3,7,1,5] => 1011010 => [1,1,2,1,1,1] => 359
[5,2,8,4,3,1,7,6] => 1011101 => [1,1,3,1,1] => 233
[1,5,7,3,6,2,8,4] => 0010101 => [2,1,1,1,1,1] => 297
[1,2,5,4,8,3,7,6] => 0010101 => [2,1,1,1,1,1] => 297
[1,4,3,6,8,7,2,5] => 0100110 => [1,1,2,2,1] => 295
[3,2,5,7,6,8,1,4] => 1001010 => [1,2,1,1,1,1] => 345
[5,3,2,6,8,4,7,1] => 1100101 => [2,2,1,1,1] => 255
[3,1,8,6,4,7,2,5] => 1011010 => [1,1,2,1,1,1] => 359
[3,1,6,8,5,4,2,7] => 1001110 => [1,2,3,1] => 185
[5,3,2,8,7,6,4,1] => 1101111 => [2,1,4] => 55
[5,3,8,2,7,6,1,4] => 1010110 => [1,1,1,1,2,1] => 345
[6,5,4,8,3,7,2,1] => 1101011 => [2,1,1,1,2] => 207
[4,8,5,1,3,7,2,6] => 0110010 => [1,2,2,1,1] => 295
[4,3,8,7,2,6,5,1] => 1011011 => [1,1,2,1,2] => 252
[2,7,5,1,8,4,6,3] => 0110101 => [1,2,1,1,1,1] => 345
[7,8,5,2,1,6,4,3] => 0111011 => [1,3,1,2] => 157
[7,6,4,8,1,2,5,3] => 1101001 => [2,1,1,2,1] => 241
[7,5,4,8,3,2,6,1] => 1101101 => [2,1,2,1,1] => 252
[8,6,4,7,3,2,1,5] => 1101110 => [2,1,3,1] => 157
[3,8,5,6,2,7,1,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,4,5,8,7,3,1,6] => 0001110 => [3,3,1] => 95
[2,4,5,8,6,7,1,3] => 0001010 => [3,1,1,1,1] => 165
[4,3,1,5,6,2,8,7] => 1100101 => [2,2,1,1,1] => 255
[4,1,5,8,6,7,2,3] => 1001010 => [1,2,1,1,1,1] => 345
[4,3,7,6,1,2,8,5] => 1011001 => [1,1,2,2,1] => 295
[4,7,5,6,1,2,8,3] => 0101001 => [1,1,1,1,2,1] => 345
[4,3,7,5,6,2,8,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,5,1,8,6,7,3,2] => 0101011 => [1,1,1,1,1,2] => 297
[3,4,5,8,6,7,2,1] => 0001011 => [3,1,1,2] => 117
[2,1,5,8,6,7,4,3] => 1001011 => [1,2,1,1,2] => 241
[3,4,5,8,7,1,2,6] => 0001100 => [3,2,2] => 105
[4,7,1,5,6,2,8,3] => 0100101 => [1,1,2,1,1,1] => 359
[2,6,4,7,1,3,8,5] => 0101001 => [1,1,1,1,2,1] => 345
[5,3,8,6,4,7,2,1] => 1011011 => [1,1,2,1,2] => 252
[6,4,1,5,7,8,3,2] => 1100011 => [2,3,2] => 126
[3,6,4,7,2,1,8,5] => 0101101 => [1,1,1,2,1,1] => 359
[3,8,4,6,1,7,2,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,8,5,6,4,7,2,1] => 0101011 => [1,1,1,1,1,2] => 297
[3,8,4,5,6,7,2,1] => 0100011 => [1,1,3,2] => 171
[3,8,6,5,2,7,4,1] => 0111011 => [1,3,1,2] => 157
[3,8,7,5,2,1,4,6] => 0111100 => [1,4,2] => 81
[3,8,6,5,1,7,2,4] => 0111010 => [1,3,1,1,1] => 219
[6,4,1,7,3,2,8,5] => 1101101 => [2,1,2,1,1] => 252
[5,1,4,6,7,2,8,3] => 1000101 => [1,3,1,1,1] => 219
[6,5,4,7,1,3,8,2] => 1101001 => [2,1,1,2,1] => 241
[2,1,6,5,3,7,8,4] => 1011001 => [1,1,2,2,1] => 295
[6,1,4,7,2,3,8,5] => 1001001 => [1,2,1,2,1] => 281
[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
[2,1,3,4,5,6,7,9,10,8] => 100000001 => [1,7,1] => 65
[2,3,1,4,5,6,8,9,7] => 01000001 => [1,1,5,1] => 170
[1,3,2,4,5,6,8,9,7] => 01000001 => [1,1,5,1] => 170
[2,3,1,4,5,6,7,9,8] => 01000001 => [1,1,5,1] => 170
[1,3,2,4,5,6,7,9,8] => 01000001 => [1,1,5,1] => 170
[2,1,3,4,5,6,7,8,10,9] => 100000001 => [1,7,1] => 65
[1,6,2,5,4,8,3,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,1,2,7,5,8,3,6] => 1001010 => [1,2,1,1,1,1] => 345
[6,1,3,5,8,2,4,7] => 1000100 => [1,3,1,2] => 157
[5,6,4,3,1,8,2,7] => 0111010 => [1,3,1,1,1] => 219
[6,2,3,5,8,1,4,7] => 1000100 => [1,3,1,2] => 157
[6,7,2,3,8,4,5,1] => 0100101 => [1,1,2,1,1,1] => 359
[6,7,2,1,3,8,4,5] => 0110010 => [1,2,2,1,1] => 295
[5,7,4,1,8,3,2,6] => 0110110 => [1,2,1,2,1] => 281
[4,1,7,5,8,3,6,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,7,1,3,8,4,5,2] => 0100101 => [1,1,2,1,1,1] => 359
[1,6,7,4,3,8,5,2] => 0011011 => [2,2,1,2] => 180
[6,1,7,4,2,8,5,3] => 1011011 => [1,1,2,1,2] => 252
[2,1,6,7,4,3,8,5] => 1001101 => [1,2,2,1,1] => 295
[6,7,3,2,1,8,4,5] => 0111010 => [1,3,1,1,1] => 219
[2,5,7,3,1,4,8,6] => 0011001 => [2,2,2,1] => 211
[6,7,3,2,8,4,5,1] => 0110101 => [1,2,1,1,1,1] => 345
[1,2,6,7,4,3,8,5] => 0001101 => [3,2,1,1] => 145
[2,7,1,8,4,6,3,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,7,5,8,1,6,3,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[6,7,1,8,4,5,3,2] => 0101011 => [1,1,1,1,1,2] => 297
[8,3,7,6,1,2,5,4] => 1011001 => [1,1,2,2,1] => 295
[8,7,3,4,6,2,5,1] => 1100101 => [2,2,1,1,1] => 255
[8,2,5,7,1,4,6,3] => 1001001 => [1,2,1,2,1] => 281
[8,2,4,7,1,5,6,3] => 1001001 => [1,2,1,2,1] => 281
[8,2,3,4,7,1,5,6] => 1000100 => [1,3,1,2] => 157
[8,7,3,5,6,2,4,1] => 1100101 => [2,2,1,1,1] => 255
[8,7,4,6,5,2,3,1] => 1101101 => [2,1,2,1,1] => 252
[8,4,6,7,5,1,2,3] => 1001100 => [1,2,2,2] => 211
[8,4,6,7,5,1,3,2] => 1001101 => [1,2,2,1,1] => 295
[8,3,5,7,6,1,4,2] => 1001101 => [1,2,2,1,1] => 295
[8,7,3,6,2,1,5,4] => 1101101 => [2,1,2,1,1] => 252
[8,7,3,4,6,2,1,5] => 1100110 => [2,2,2,1] => 211
[8,7,4,6,5,2,1,3] => 1101110 => [2,1,3,1] => 157
[8,6,5,2,7,4,3,1] => 1110111 => [3,1,3] => 69
[8,4,3,7,6,5,1,2] => 1101110 => [2,1,3,1] => 157
[8,5,6,7,4,1,3,2] => 1001101 => [1,2,2,1,1] => 295
[8,5,7,6,4,1,2,3] => 1011100 => [1,1,3,2] => 171
[8,4,2,7,5,1,6,3] => 1101101 => [2,1,2,1,1] => 252
[8,3,4,2,7,5,6,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,4,7,6,5,1,2,3] => 1011100 => [1,1,3,2] => 171
[8,3,5,2,7,4,6,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,5,2,6,7,4,1,3] => 1100110 => [2,2,2,1] => 211
[8,5,3,7,6,4,1,2] => 1101110 => [2,1,3,1] => 157
[8,6,2,5,7,3,1,4] => 1100110 => [2,2,2,1] => 211
[8,6,2,4,7,3,1,5] => 1100110 => [2,2,2,1] => 211
[8,5,2,3,7,4,1,6] => 1100110 => [2,2,2,1] => 211
[8,5,3,2,7,6,4,1] => 1110111 => [3,1,3] => 69
[8,6,1,5,4,3,2,7] => 1101110 => [2,1,3,1] => 157
[2,4,5,8,3,1,6,7] => 0001100 => [3,2,2] => 105
[2,7,4,6,1,5,8,3] => 0101001 => [1,1,1,1,2,1] => 345
[2,4,3,8,5,1,6,7] => 0101100 => [1,1,1,2,2] => 255
[7,8,3,2,5,4,6,1] => 0110101 => [1,2,1,1,1,1] => 345
[1,5,6,7,3,8,2,4] => 0001010 => [3,1,1,1,1] => 165
[1,6,5,4,8,3,2,7] => 0110110 => [1,2,1,2,1] => 281
[1,7,3,5,8,4,6,2] => 0100101 => [1,1,2,1,1,1] => 359
[7,2,1,6,4,8,5,3] => 1101011 => [2,1,1,1,2] => 207
[7,5,8,3,2,4,6,1] => 1011001 => [1,1,2,2,1] => 295
[3,8,7,2,4,6,5,1] => 0110011 => [1,2,2,2] => 211
[1,3,7,6,4,8,5,2] => 0011011 => [2,2,1,2] => 180
[3,1,8,7,6,4,2,5] => 1011110 => [1,1,4,1] => 107
[3,1,8,7,5,4,2,6] => 1011110 => [1,1,4,1] => 107
[3,1,7,6,5,4,2,8] => 1011110 => [1,1,4,1] => 107
[4,7,1,6,5,3,2,8] => 0101110 => [1,1,1,3,1] => 219
[4,8,1,6,5,3,2,7] => 0101110 => [1,1,1,3,1] => 219
[8,4,1,7,6,3,2,5] => 1101110 => [2,1,3,1] => 157
[5,4,1,8,6,3,2,7] => 1101110 => [2,1,3,1] => 157
[5,4,1,7,6,3,2,8] => 1101110 => [2,1,3,1] => 157
[6,4,1,8,5,3,2,7] => 1101110 => [2,1,3,1] => 157
[8,4,1,7,5,3,2,6] => 1101110 => [2,1,3,1] => 157
[7,4,1,6,5,3,2,8] => 1101110 => [2,1,3,1] => 157
[7,5,6,1,4,3,2,8] => 1010110 => [1,1,1,1,2,1] => 345
[8,5,6,1,4,3,2,7] => 1010110 => [1,1,1,1,2,1] => 345
[8,5,7,1,4,3,2,6] => 1010110 => [1,1,1,1,2,1] => 345
[5,7,6,1,4,3,2,8] => 0110110 => [1,2,1,2,1] => 281
[5,8,6,1,4,3,2,7] => 0110110 => [1,2,1,2,1] => 281
[6,7,5,1,4,3,2,8] => 0110110 => [1,2,1,2,1] => 281
[8,7,5,1,4,3,2,6] => 1110110 => [3,1,2,1] => 137
[8,6,5,1,4,3,2,7] => 1110110 => [3,1,2,1] => 137
[8,6,1,7,2,5,3,4] => 1101010 => [2,1,1,1,1,1] => 297
[1,8,6,3,4,2,5,7] => 0110100 => [1,2,1,1,2] => 241
[3,1,6,4,5,2,7,8] => 1010100 => [1,1,1,1,1,2] => 297
[3,1,6,4,5,8,2,7] => 1010010 => [1,1,1,2,1,1] => 359
[3,1,6,4,5,7,2,8] => 1010010 => [1,1,1,2,1,1] => 359
[7,6,3,8,4,5,2,1] => 1101011 => [2,1,1,1,2] => 207
[8,2,7,6,1,4,3,5] => 1011010 => [1,1,2,1,1,1] => 359
[5,2,7,8,1,4,3,6] => 1001010 => [1,2,1,1,1,1] => 345
[5,6,3,8,4,1,2,7] => 0101100 => [1,1,1,2,2] => 255
[8,2,7,6,1,4,5,3] => 1011001 => [1,1,2,2,1] => 295
[5,2,3,4,7,1,6,8] => 1000100 => [1,3,1,2] => 157
[5,2,3,7,1,6,8,4] => 1001001 => [1,2,1,2,1] => 281
[8,7,5,3,1,6,4,2] => 1111011 => [4,1,2] => 55
[1,4,7,8,5,2,3,6] => 0001100 => [3,2,2] => 105
[5,8,3,7,6,4,1,2] => 0101110 => [1,1,1,3,1] => 219
[6,5,1,7,2,4,8,3] => 1101001 => [2,1,1,2,1] => 241
[3,6,7,1,4,2,5,8] => 0010100 => [2,1,1,1,2] => 207
[4,7,5,8,2,1,3,6] => 0101100 => [1,1,1,2,2] => 255
[8,1,2,7,5,4,3,6] => 1001110 => [1,2,3,1] => 185
[6,5,1,8,3,7,2,4] => 1101010 => [2,1,1,1,1,1] => 297
[1,8,7,5,3,2,6,4] => 0111101 => [1,4,1,1] => 107
[7,8,1,5,4,2,3,6] => 0101100 => [1,1,1,2,2] => 255
[2,7,5,1,4,6,3,8] => 0110010 => [1,2,2,1,1] => 295
[3,4,6,8,1,5,7,2] => 0001001 => [3,1,2,1] => 137
[6,8,1,7,5,4,2,3] => 0101110 => [1,1,1,3,1] => 219
[7,6,3,1,2,8,5,4] => 1110011 => [3,2,2] => 105
[5,2,6,7,4,8,1,3] => 1001010 => [1,2,1,1,1,1] => 345
[1,7,5,2,6,4,8,3] => 0110101 => [1,2,1,1,1,1] => 345
[7,1,3,6,8,2,4,5] => 1000100 => [1,3,1,2] => 157
[1,2,5,7,8,4,6,3] => 0000101 => [4,1,1,1] => 75
[3,1,2,7,5,4,8,6] => 1001101 => [1,2,2,1,1] => 295
[6,7,4,1,3,2,8,5] => 0110101 => [1,2,1,1,1,1] => 345
[1,7,2,8,4,3,5,6] => 0101100 => [1,1,1,2,2] => 255
[1,6,3,5,7,8,2,4] => 0100010 => [1,1,3,1,1] => 233
[8,6,1,7,5,2,4,3] => 1101101 => [2,1,2,1,1] => 252
[7,6,4,1,8,3,2,5] => 1110110 => [3,1,2,1] => 137
[8,4,1,6,5,2,7,3] => 1101101 => [2,1,2,1,1] => 252
[1,5,3,4,7,8,2,6] => 0100010 => [1,1,3,1,1] => 233
[4,2,1,5,7,8,3,6] => 1100010 => [2,3,1,1] => 171
[5,4,1,6,7,8,2,3] => 1100010 => [2,3,1,1] => 171
[5,1,4,6,7,8,2,3] => 1000010 => [1,4,1,1] => 107
[4,1,5,3,7,8,2,6] => 1010010 => [1,1,1,2,1,1] => 359
[8,1,4,6,5,2,7,3] => 1001101 => [1,2,2,1,1] => 295
[7,1,5,4,6,3,2,8] => 1010110 => [1,1,1,1,2,1] => 345
[8,2,1,6,7,5,4,3] => 1100111 => [2,2,3] => 105
[1,2,4,7,6,3,8,5] => 0001101 => [3,2,1,1] => 145
[6,7,4,1,8,5,2,3] => 0110110 => [1,2,1,2,1] => 281
[8,6,4,1,5,7,3,2] => 1110011 => [3,2,2] => 105
[5,2,4,3,7,1,6,8] => 1010100 => [1,1,1,1,1,2] => 297
[6,1,5,4,8,3,2,7] => 1010110 => [1,1,1,1,2,1] => 345
[1,2,8,7,4,3,6,5] => 0011101 => [2,3,1,1] => 171
[3,2,1,7,5,8,4,6] => 1101010 => [2,1,1,1,1,1] => 297
[1,3,6,4,7,8,2,5] => 0010010 => [2,1,2,1,1] => 252
[4,5,1,3,7,8,2,6] => 0100010 => [1,1,3,1,1] => 233
[5,2,3,1,7,8,4,6] => 1010010 => [1,1,1,2,1,1] => 359
[1,6,4,3,7,8,2,5] => 0110010 => [1,2,2,1,1] => 295
[7,6,4,3,1,5,2,8] => 1111010 => [4,1,1,1] => 75
[7,5,4,6,1,3,2,8] => 1101010 => [2,1,1,1,1,1] => 297
[8,4,6,5,1,2,7,3] => 1011001 => [1,1,2,2,1] => 295
[1,5,6,3,7,8,2,4] => 0010010 => [2,1,2,1,1] => 252
[7,1,2,3,4,5,8,9,10,6] => 100000001 => [1,7,1] => 65
[6,7,1,2,3,4,8,9,5] => 01000001 => [1,1,5,1] => 170
[6,1,2,3,4,7,8,9,10,5] => 100000001 => [1,7,1] => 65
[5,1,2,3,6,7,8,9,10,4] => 100000001 => [1,7,1] => 65
[6,8,3,5,7,2,4,1] => 0100101 => [1,1,2,1,1,1] => 359
[1,5,2,4,3,8,7,6] => 0101011 => [1,1,1,1,1,2] => 297
[8,6,5,7,2,1,4,3] => 1101101 => [2,1,2,1,1] => 252
[1,6,3,8,4,5,7,2] => 0101001 => [1,1,1,1,2,1] => 345
[7,5,4,2,6,3,8,1] => 1110101 => [3,1,1,1,1] => 165
[7,8,6,5,4,3,2,9,1] => 01111101 => [1,5,1,1] => 170
[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] => 170
[2,3,8,4,7,5,6,1] => 0010101 => [2,1,1,1,1,1] => 297
[3,7,2,8,6,4,5,1] => 0101101 => [1,1,1,2,1,1] => 359
[6,3,7,5,8,2,4,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,3,7,8,6,2,5,1] => 1001101 => [1,2,2,1,1] => 295
[3,8,1,7,5,2,4,6] => 0101100 => [1,1,1,2,2] => 255
[2,4,7,8,6,1,5,3] => 0001101 => [3,2,1,1] => 145
[2,4,8,5,1,7,3,6] => 0011010 => [2,2,1,1,1] => 255
[2,8,3,5,1,6,4,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[8,2,4,6,3,7,5,1] => 1001011 => [1,2,1,1,2] => 241
[4,5,3,8,2,1,7,6] => 0101101 => [1,1,1,2,1,1] => 359
[4,8,3,2,5,1,6,7] => 0110100 => [1,2,1,1,2] => 241
[5,2,7,1,3,8,6,4] => 1010011 => [1,1,1,2,2] => 255
[4,5,6,7,8,9,2,1,3] => 00000110 => [5,2,1] => 98
[5,6,7,8,9,2,1,3,4] => 00001100 => [4,2,2] => 185
[6,7,8,9,2,1,3,4,5] => 00011000 => [3,2,3] => 226
[7,8,9,2,1,3,4,5,6] => 00110000 => [2,2,4] => 185
[8,9,2,1,3,4,5,6,7] => 01100000 => [1,2,5] => 98
[1,4,6,2,7,5,3,8] => 0010110 => [2,1,1,2,1] => 241
[8,2,7,5,1,4,6,3] => 1011001 => [1,1,2,2,1] => 295
[1,7,4,6,8,3,5,2] => 0100101 => [1,1,2,1,1,1] => 359
[8,2,1,4,5,6,7,3] => 1100001 => [2,4,1] => 81
[7,3,1,2,5,6,4,8] => 1100010 => [2,3,1,1] => 171
[7,2,4,1,5,8,6,3] => 1010011 => [1,1,1,2,2] => 255
[7,8,2,1,5,4,6,3] => 0110101 => [1,2,1,1,1,1] => 345
[1,4,2,8,6,5,3,7] => 0101110 => [1,1,1,3,1] => 219
[1,4,8,5,2,6,3,7] => 0011010 => [2,2,1,1,1] => 255
[1,5,2,4,6,3,8,7] => 0100101 => [1,1,2,1,1,1] => 359
[1,8,5,3,2,6,4,7] => 0111010 => [1,3,1,1,1] => 219
[6,4,1,3,2,5,8,7] => 1101001 => [2,1,1,2,1] => 241
[5,2,3,7,8,1,6,4] => 1000101 => [1,3,1,1,1] => 219
[5,2,8,6,3,1,7,4] => 1011101 => [1,1,3,1,1] => 233
[6,2,3,5,1,8,7,4] => 1001011 => [1,2,1,1,2] => 241
[7,6,3,4,2,8,1,5] => 1101010 => [2,1,1,1,1,1] => 297
[6,2,4,5,7,8,1,3] => 1000010 => [1,4,1,1] => 107
[8,6,3,2,5,7,1,4] => 1110010 => [3,2,1,1] => 145
[6,2,5,3,7,1,8,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,5,3,6,7,2,1,4] => 1100110 => [2,2,2,1] => 211
[4,5,7,8,6,2,1,3] => 0001110 => [3,3,1] => 95
[1,2,8,4,3,6,7,5] => 0011001 => [2,2,2,1] => 211
[1,8,3,2,4,6,7,5] => 0110001 => [1,2,3,1] => 185
[1,2,7,5,3,4,6,8] => 0011000 => [2,2,3] => 105
[1,2,7,4,5,3,8,6] => 0010101 => [2,1,1,1,1,1] => 297
[1,7,3,2,6,8,4,5] => 0110010 => [1,2,2,1,1] => 295
[8,2,7,1,4,3,5,6] => 1010100 => [1,1,1,1,1,2] => 297
[7,2,1,3,6,8,4,5] => 1100010 => [2,3,1,1] => 171
[6,2,1,7,8,3,4,5] => 1100100 => [2,2,1,2] => 180
[3,5,8,6,1,4,2,7] => 0011010 => [2,2,1,1,1] => 255
[1,8,4,2,7,6,3,5] => 0110110 => [1,2,1,2,1] => 281
[8,7,2,6,5,4,3,1] => 1101111 => [2,1,4] => 55
[7,3,8,1,6,5,4,2] => 1010111 => [1,1,1,1,3] => 165
[7,3,8,2,6,5,4,1] => 1010111 => [1,1,1,1,3] => 165
[7,1,3,8,6,5,4,2] => 1001111 => [1,2,4] => 65
[8,1,3,7,6,5,4,2] => 1001111 => [1,2,4] => 65
[2,4,1,8,7,3,6,5] => 0101101 => [1,1,1,2,1,1] => 359
[7,3,8,6,1,5,4,2] => 1011011 => [1,1,2,1,2] => 252
[3,5,1,7,8,2,6,4] => 0100101 => [1,1,2,1,1,1] => 359
[5,4,7,8,2,1,6,3] => 1001101 => [1,2,2,1,1] => 295
[5,3,6,1,8,4,2,7] => 1010110 => [1,1,1,1,2,1] => 345
[6,3,8,7,1,5,4,2] => 1011011 => [1,1,2,1,2] => 252
[8,6,4,7,1,5,3,2] => 1101011 => [2,1,1,1,2] => 207
[3,4,6,2,1,8,5,7] => 0011010 => [2,2,1,1,1] => 255
[4,5,7,2,1,6,3,8] => 0011010 => [2,2,1,1,1] => 255
[5,6,4,8,3,2,1,7] => 0101110 => [1,1,1,3,1] => 219
[5,7,4,8,2,1,6,3] => 0101101 => [1,1,1,2,1,1] => 359
[4,7,5,8,2,1,6,3] => 0101101 => [1,1,1,2,1,1] => 359
[5,7,4,2,6,3,8,1] => 0110101 => [1,2,1,1,1,1] => 345
[5,7,4,1,6,2,8,3] => 0110101 => [1,2,1,1,1,1] => 345
[6,8,7,3,1,4,2,5] => 0111010 => [1,3,1,1,1] => 219
[8,5,6,1,7,3,2,4] => 1010110 => [1,1,1,1,2,1] => 345
[4,5,1,6,7,8,3,2] => 0100011 => [1,1,3,2] => 171
[4,5,2,6,1,3,8,7] => 0101001 => [1,1,1,1,2,1] => 345
[8,4,6,7,2,5,1,3] => 1001010 => [1,2,1,1,1,1] => 345
[3,4,6,7,2,5,8,1] => 0001001 => [3,1,2,1] => 137
[7,1,4,6,8,3,5,2] => 1000101 => [1,3,1,1,1] => 219
[6,7,1,2,4,8,5,3] => 0100011 => [1,1,3,2] => 171
[1,6,3,4,7,8,5,2] => 0100011 => [1,1,3,2] => 171
[2,3,6,4,7,5,8,1] => 0010101 => [2,1,1,1,1,1] => 297
[7,8,1,3,4,5,6,2] => 0100001 => [1,1,4,1] => 107
[1,8,2,6,7,3,4,5] => 0100100 => [1,1,2,1,2] => 252
[4,7,3,2,8,1,5,6] => 0110100 => [1,2,1,1,2] => 241
[7,1,2,6,3,8,5,4] => 1001011 => [1,2,1,1,2] => 241
[8,1,2,6,3,7,5,4] => 1001011 => [1,2,1,1,2] => 241
[8,1,2,7,6,3,5,4] => 1001101 => [1,2,2,1,1] => 295
[4,8,7,3,1,6,2,5] => 0111010 => [1,3,1,1,1] => 219
[4,7,8,3,1,6,2,5] => 0011010 => [2,2,1,1,1] => 255
[7,4,3,1,6,2,8,5] => 1110101 => [3,1,1,1,1] => 165
[7,4,3,1,8,6,2,5] => 1110110 => [3,1,2,1] => 137
[3,7,6,2,4,8,1,5] => 0110010 => [1,2,2,1,1] => 295
[4,3,7,2,8,6,1,5] => 1010110 => [1,1,1,1,2,1] => 345
[6,1,2,7,4,3,8,5] => 1001101 => [1,2,2,1,1] => 295
[5,1,2,6,3,8,7,4] => 1001011 => [1,2,1,1,2] => 241
[5,1,2,7,3,8,6,4] => 1001011 => [1,2,1,1,2] => 241
[6,1,2,7,3,5,8,4] => 1001001 => [1,2,1,2,1] => 281
[8,3,6,2,1,7,4,5] => 1011010 => [1,1,2,1,1,1] => 359
[6,1,2,8,3,5,7,4] => 1001001 => [1,2,1,2,1] => 281
[7,5,3,2,1,8,6,4] => 1111011 => [4,1,2] => 55
[4,2,1,5,3,6,7,8] => 1101000 => [2,1,1,3] => 117
[8,6,4,3,2,1,9,7,5] => 11111011 => [5,1,2] => 83
[7,5,4,3,2,1,8,6,9] => 11111010 => [5,1,1,1] => 110
[8,6,4,2,1,9,7,5,3] => 11110111 => [4,1,3] => 125
[7,5,3,2,1,8,6,4,9] => 11110110 => [4,1,2,1] => 235
[7,4,3,2,1,8,5,9,6] => 11110101 => [4,1,1,1,1] => 275
[6,4,3,2,1,7,5,8,9] => 11110100 => [4,1,1,2] => 200
[7,5,3,1,8,6,4,2,9] => 11101110 => [3,1,3,1] => 332
[7,4,2,1,8,5,3,9,6] => 11101101 => [3,1,2,1,1] => 502
[6,4,2,1,7,5,3,8,9] => 11101100 => [3,1,2,2] => 365
[6,3,2,1,7,4,8,5,9] => 11101010 => [3,1,1,1,1,1] => 572
[5,3,2,1,6,4,7,8,9] => 11101000 => [3,1,1,3] => 242
[7,4,1,8,5,2,9,6,3] => 11011011 => [2,1,2,1,2] => 623
[6,3,1,7,4,2,8,5,9] => 11011010 => [2,1,2,1,1,1] => 875
[5,3,1,6,4,2,7,8,9] => 11011000 => [2,1,2,3] => 371
[6,2,1,7,3,8,4,9,5] => 11010101 => [2,1,1,1,1,1,1] => 1001
[5,2,1,6,3,7,4,8,9] => 11010100 => [2,1,1,1,1,2] => 704
[4,2,1,5,3,6,7,8,9] => 11010000 => [2,1,1,4] => 200
[4,1,5,2,6,3,7,8,9] => 10101000 => [1,1,1,1,1,3] => 572
[3,1,4,2,5,6,7,8,9] => 10100000 => [1,1,1,5] => 110
[9,7,5,4,3,2,1,10,8,6] => 111111011 => [6,1,2] => 119
[8,6,5,4,3,2,1,9,7,10] => 111111010 => [6,1,1,1] => 154
[9,7,5,3,2,1,10,8,6,4] => 111110111 => [5,1,3] => 209
[8,6,4,3,2,1,9,7,5,10] => 111110110 => [5,1,2,1] => 375
[8,5,4,3,2,1,9,6,10,7] => 111110101 => [5,1,1,1,1] => 429
[7,5,4,3,2,1,8,6,9,10] => 111110100 => [5,1,1,2] => 319
[8,6,4,2,1,9,7,5,3,10] => 111101110 => [4,1,3,1] => 626
[8,5,3,2,1,9,6,4,10,7] => 111101101 => [4,1,2,1,1] => 901
[7,5,3,2,1,8,6,4,9,10] => 111101100 => [4,1,2,2] => 666
[7,4,3,2,1,8,5,9,6,10] => 111101010 => [4,1,1,1,1,1] => 1001
[6,4,3,2,1,7,5,8,9,10] => 111101000 => [4,1,1,3] => 451
[8,5,3,1,9,6,4,2,10,7] => 111011101 => [3,1,3,1,1] => 1330
[7,5,3,1,8,6,4,2,9,10] => 111011100 => [3,1,3,2] => 998
[8,5,2,1,9,6,3,10,7,4] => 111011011 => [3,1,2,1,2] => 1304
[7,4,2,1,8,5,3,9,6,10] => 111011010 => [3,1,2,1,1,1] => 1806
[6,4,2,1,7,5,3,8,9,10] => 111011000 => [3,1,2,3] => 802
[7,3,2,1,8,4,9,5,10,6] => 111010101 => [3,1,1,1,1,1,1] => 2002
[6,3,2,1,7,4,8,5,9,10] => 111010100 => [3,1,1,1,1,2] => 1430
[5,3,2,1,6,4,7,8,9,10] => 111010000 => [3,1,1,4] => 451
[7,4,1,8,5,2,9,6,3,10] => 110110110 => [2,1,2,1,2,1] => 2550
[7,3,1,8,4,2,9,5,10,6] => 110110101 => [2,1,2,1,1,1,1] => 3054
[6,3,1,7,4,2,8,5,9,10] => 110110100 => [2,1,2,1,1,2] => 2179
[5,3,1,6,4,2,7,8,9,10] => 110110000 => [2,1,2,4] => 681
[6,2,1,7,3,8,4,9,5,10] => 110101010 => [2,1,1,1,1,1,1,1] => 3432
[5,2,1,6,3,7,4,8,9,10] => 110101000 => [2,1,1,1,1,3] => 1430
[4,2,1,5,3,6,7,8,9,10] => 110100000 => [2,1,1,5] => 319
[5,1,6,2,7,3,8,4,9,10] => 101010100 => [1,1,1,1,1,1,1,2] => 3432
[4,1,5,2,6,3,7,8,9,10] => 101010000 => [1,1,1,1,1,4] => 1001
[3,1,4,2,5,6,7,8,9,10] => 101000000 => [1,1,1,6] => 154
[6,2,5,4,1,8,7,3] => 1011011 => [1,1,2,1,2] => 252
[4,6,3,2,1,8,7,5] => 0111011 => [1,3,1,2] => 157
[6,5,3,2,1,8,7,4] => 1111011 => [4,1,2] => 55
[8,4,3,2,7,6,1,5] => 1110110 => [3,1,2,1] => 137
[1,5,8,4,7,6,3,2] => 0010111 => [2,1,1,3] => 117
[3,2,7,4,8,6,1,5] => 1010110 => [1,1,1,1,2,1] => 345
[7,4,3,2,8,6,1,5] => 1110110 => [3,1,2,1] => 137
[6,8,3,7,5,2,1,4] => 0101110 => [1,1,1,3,1] => 219
[5,7,8,4,3,2,1,6] => 0011110 => [2,4,1] => 81
[6,4,3,8,5,2,1,7] => 1101110 => [2,1,3,1] => 157
[8,2,5,4,7,6,1,3] => 1010110 => [1,1,1,1,2,1] => 345
[7,2,5,4,8,6,1,3] => 1010110 => [1,1,1,1,2,1] => 345
[4,5,3,2,8,6,1,7] => 0110110 => [1,2,1,2,1] => 281
[3,2,5,4,8,6,1,7] => 1010110 => [1,1,1,1,2,1] => 345
[3,2,8,6,5,4,1,7] => 1011110 => [1,1,4,1] => 107
[8,4,3,6,5,2,1,7] => 1101110 => [2,1,3,1] => 157
[8,4,3,7,5,2,1,6] => 1101110 => [2,1,3,1] => 157
[3,2,7,8,5,4,1,6] => 1001110 => [1,2,3,1] => 185
[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] => 295
[5,8,1,3,7,2,6,4] => 0100101 => [1,1,2,1,1,1] => 359
[4,7,5,1,8,2,6,3] => 0110101 => [1,2,1,1,1,1] => 345
[6,3,2,1,8,7,4,5] => 1110110 => [3,1,2,1] => 137
[6,2,3,1,8,7,4,5] => 1010110 => [1,1,1,1,2,1] => 345
[3,4,7,1,8,5,6,2] => 0010101 => [2,1,1,1,1,1] => 297
[7,2,5,1,8,3,6,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,2,1,5,8,4,6,3] => 1100101 => [2,2,1,1,1] => 255
[4,2,8,1,7,5,6,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,3,6,4,1,7,5,2] => 1011011 => [1,1,2,1,2] => 252
[7,3,1,5,2,8,6,4] => 1101011 => [2,1,1,1,2] => 207
[7,1,6,4,2,8,5,3] => 1011011 => [1,1,2,1,2] => 252
[3,7,4,1,5,8,6,2] => 0110011 => [1,2,2,2] => 211
[5,8,6,1,2,7,4,3] => 0110011 => [1,2,2,2] => 211
[6,8,1,4,3,7,5,2] => 0101011 => [1,1,1,1,1,2] => 297
[6,7,1,4,3,8,5,2] => 0101011 => [1,1,1,1,1,2] => 297
[4,7,1,5,3,8,6,2] => 0101011 => [1,1,1,1,1,2] => 297
[6,8,1,2,4,7,5,3] => 0100011 => [1,1,3,2] => 171
[7,1,6,4,8,3,5,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,6,4,1,3,7,5,2] => 1110011 => [3,2,2] => 105
[8,5,3,6,1,7,4,2] => 1101011 => [2,1,1,1,2] => 207
[7,2,1,4,5,8,6,3] => 1100011 => [2,3,2] => 126
[8,5,6,1,2,7,4,3] => 1010011 => [1,1,1,2,2] => 255
[8,6,2,5,4,7,3,1] => 1101011 => [2,1,1,1,2] => 207
[8,5,7,3,2,4,6,1] => 1011001 => [1,1,2,2,1] => 295
[8,5,2,1,4,3,6,7] => 1110100 => [3,1,1,2] => 117
[2,8,4,1,3,6,7,5] => 0110001 => [1,2,3,1] => 185
[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] => 295
[1,8,3,6,7,2,4,5] => 0100100 => [1,1,2,1,2] => 252
[1,2,8,3,7,4,6,5] => 0010101 => [2,1,1,1,1,1] => 297
[1,9,2,3,4,5,6,7,8,10] => 010000000 => [1,1,7] => 44
[1,7,2,3,4,5,6,8,9] => 01000000 => [1,1,6] => 35
[8,2,6,5,4,3,1,7] => 1011110 => [1,1,4,1] => 107
[8,2,7,6,4,5,3,1] => 1011011 => [1,1,2,1,2] => 252
[8,7,3,5,4,2,6,1] => 1101101 => [2,1,2,1,1] => 252
[4,6,7,2,1,8,3,5] => 0011010 => [2,2,1,1,1] => 255
[3,7,1,8,2,5,4,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,5,8,6,1,3,7,2] => 0011001 => [2,2,2,1] => 211
[4,5,8,6,2,7,3,1] => 0011011 => [2,2,1,2] => 180
[4,6,7,1,5,3,8,2] => 0010101 => [2,1,1,1,1,1] => 297
[4,6,7,2,1,8,5,3] => 0011011 => [2,2,1,2] => 180
[4,2,5,6,7,8,3,1] => 1000011 => [1,4,2] => 81
[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] => 297
[4,6,8,3,2,7,1,5] => 0011010 => [2,2,1,1,1] => 255
[4,6,8,2,3,7,1,5] => 0010010 => [2,1,2,1,1] => 252
[3,8,1,7,4,5,2,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,5,8,3,7,1,2,6] => 0010100 => [2,1,1,1,2] => 207
[3,7,8,4,6,2,5,1] => 0010101 => [2,1,1,1,1,1] => 297
[3,6,1,5,7,8,2,4] => 0100010 => [1,1,3,1,1] => 233
[3,8,2,5,4,7,1,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,8,6,2,5,1,7,4] => 0110101 => [1,2,1,1,1,1] => 345
[4,5,8,6,2,1,7,3] => 0011101 => [2,3,1,1] => 171
[4,5,8,6,1,2,7,3] => 0011001 => [2,2,2,1] => 211
[4,6,8,5,2,7,1,3] => 0011010 => [2,2,1,1,1] => 255
[3,7,8,5,2,6,1,4] => 0011010 => [2,2,1,1,1] => 255
[3,7,8,5,4,1,6,2] => 0011101 => [2,3,1,1] => 171
[4,6,8,5,3,1,7,2] => 0011101 => [2,3,1,1] => 171
[7,8,2,3,5,4,1,6] => 0100110 => [1,1,2,2,1] => 295
[5,1,3,7,6,4,8,2] => 1001101 => [1,2,2,1,1] => 295
[4,6,5,2,7,8,1,3] => 0110010 => [1,2,2,1,1] => 295
[1,6,5,2,3,4,8,7] => 0110001 => [1,2,3,1] => 185
[4,6,5,1,7,3,8,2] => 0110101 => [1,2,1,1,1,1] => 345
[5,7,3,1,2,4,8,6] => 0110001 => [1,2,3,1] => 185
[6,3,2,5,1,7,4,8] => 1101010 => [2,1,1,1,1,1] => 297
[6,1,2,4,8,5,3,7] => 1000110 => [1,3,2,1] => 185
[6,3,1,7,2,5,8,4] => 1101001 => [2,1,1,2,1] => 241
[3,7,2,8,5,1,4,6] => 0101100 => [1,1,1,2,2] => 255
[3,6,5,2,4,7,1,8] => 0110010 => [1,2,2,1,1] => 295
[3,6,5,8,1,7,2,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,2,3,4,5,6,8,7,9] => 00000010 => [6,1,1] => 35
[1,2,3,4,5,6,7,9,8,10] => 000000010 => [7,1,1] => 44
[1,2,3,4,5,7,6,8,9] => 00000100 => [5,1,2] => 83
[9,2,3,4,5,6,7,1,8] => 10000010 => [1,5,1,1] => 170
[5,2,7,3,4,6,1,8] => 1010010 => [1,1,1,2,1,1] => 359
[1,3,5,8,6,4,7,2] => 0001101 => [3,2,1,1] => 145
[1,3,5,8,6,7,2,4] => 0001010 => [3,1,1,1,1] => 165
[6,1,7,4,8,5,3,2] => 1010111 => [1,1,1,1,3] => 165
[5,7,4,1,3,6,8,2] => 0110001 => [1,2,3,1] => 185
[7,4,3,1,6,5,8,2] => 1110101 => [3,1,1,1,1] => 165
[7,8,1,4,6,5,3,2] => 0100111 => [1,1,2,3] => 145
[7,8,6,1,4,5,3,2] => 0110011 => [1,2,2,2] => 211
[6,2,7,3,8,5,4,1] => 1010111 => [1,1,1,1,3] => 165
[1,2,7,5,3,4,8,6] => 0011001 => [2,2,2,1] => 211
[7,2,8,3,6,4,5,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,2,7,8,3,1,4,5] => 1001100 => [1,2,2,2] => 211
[1,7,8,2,5,3,4,6] => 0010100 => [2,1,1,1,2] => 207
[3,7,8,1,2,5,6,4] => 0010001 => [2,1,3,1] => 157
[1,2,8,7,3,4,6,5] => 0011001 => [2,2,2,1] => 211
[8,2,7,4,5,1,6,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[3,8,1,5,7,2,6,4] => 0100101 => [1,1,2,1,1,1] => 359
[7,5,4,8,6,1,2,3] => 1101100 => [2,1,2,2] => 180
[7,1,8,6,4,5,2,3] => 1011010 => [1,1,2,1,1,1] => 359
[8,7,5,1,4,3,6,2] => 1110101 => [3,1,1,1,1] => 165
[1,5,7,8,3,4,2,6] => 0001010 => [3,1,1,1,1] => 165
[6,8,4,3,1,7,2,5] => 0111010 => [1,3,1,1,1] => 219
[8,4,1,3,7,5,6,2] => 1100101 => [2,2,1,1,1] => 255
[4,8,1,3,7,5,6,2] => 0100101 => [1,1,2,1,1,1] => 359
[1,8,5,7,4,2,3,6] => 0101100 => [1,1,1,2,2] => 255
[2,1,6,8,5,3,4,7] => 1001100 => [1,2,2,2] => 211
[4,5,1,3,8,6,7,2] => 0100101 => [1,1,2,1,1,1] => 359
[1,2,6,8,5,3,4,7] => 0001100 => [3,2,2] => 105
[5,6,8,7,3,1,2,4] => 0011100 => [2,3,2] => 126
[6,7,5,3,8,1,2,4] => 0110100 => [1,2,1,1,2] => 241
[6,8,5,7,3,1,2,4] => 0101100 => [1,1,1,2,2] => 255
[5,7,8,6,3,1,2,4] => 0011100 => [2,3,2] => 126
[5,1,4,2,6,8,7,3] => 1010011 => [1,1,1,2,2] => 255
[6,3,2,4,7,1,8,5] => 1100101 => [2,2,1,1,1] => 255
[1,5,6,8,4,2,3,7] => 0001100 => [3,2,2] => 105
[5,7,8,3,6,1,2,4] => 0010100 => [2,1,1,1,2] => 207
[1,5,8,6,2,4,3,7] => 0011010 => [2,2,1,1,1] => 255
[1,5,3,7,2,6,8,4] => 0101001 => [1,1,1,1,2,1] => 345
[5,1,8,6,2,4,3,7] => 1011010 => [1,1,2,1,1,1] => 359
[5,8,6,3,7,1,2,4] => 0110100 => [1,2,1,1,2] => 241
[1,5,2,4,8,6,7,3] => 0100101 => [1,1,2,1,1,1] => 359
[1,5,4,2,6,8,7,3] => 0110011 => [1,2,2,2] => 211
[5,7,6,3,8,1,2,4] => 0110100 => [1,2,1,1,2] => 241
[5,7,6,8,3,1,2,4] => 0101100 => [1,1,1,2,2] => 255
[6,8,7,5,3,1,2,4] => 0111100 => [1,4,2] => 81
[1,2,5,3,6,8,7,4] => 0010011 => [2,1,2,2] => 180
[6,8,7,2,1,5,3,4] => 0111010 => [1,3,1,1,1] => 219
[7,3,6,1,4,8,2,5] => 1010010 => [1,1,1,2,1,1] => 359
[7,8,1,6,5,3,4,2] => 0101101 => [1,1,1,2,1,1] => 359
[8,7,3,2,1,4,6,5] => 1111001 => [4,2,1] => 65
[8,3,5,1,7,4,2,6] => 1010110 => [1,1,1,1,2,1] => 345
[3,5,6,8,4,2,7,1] => 0001101 => [3,2,1,1] => 145
[5,8,2,6,4,3,7,1] => 0101101 => [1,1,1,2,1,1] => 359
[2,8,6,3,4,1,7,5] => 0110101 => [1,2,1,1,1,1] => 345
[1,7,2,3,5,8,6,4] => 0100011 => [1,1,3,2] => 171
[4,6,2,3,5,1,7,8] => 0100100 => [1,1,2,1,2] => 252
[2,8,3,7,5,1,6,4] => 0101101 => [1,1,1,2,1,1] => 359
[6,4,8,7,2,1,5,3] => 1011101 => [1,1,3,1,1] => 233
[1,8,2,3,7,5,6,4] => 0100101 => [1,1,2,1,1,1] => 359
[2,8,4,3,6,7,1,5] => 0110010 => [1,2,2,1,1] => 295
[7,3,2,5,6,1,8,4] => 1100101 => [2,2,1,1,1] => 255
[1,6,7,8,2,4,3,5] => 0001010 => [3,1,1,1,1] => 165
[4,1,2,8,5,3,7,6] => 1001101 => [1,2,2,1,1] => 295
[3,8,4,2,5,1,7,6] => 0110101 => [1,2,1,1,1,1] => 345
[1,8,5,6,4,3,2,7] => 0101110 => [1,1,1,3,1] => 219
[2,8,3,5,6,4,1,7] => 0100110 => [1,1,2,2,1] => 295
[4,1,5,7,6,8,2,3] => 1001010 => [1,2,1,1,1,1] => 345
[7,6,8,3,2,5,1,4] => 1011010 => [1,1,2,1,1,1] => 359
[2,7,8,1,6,4,5,3] => 0010101 => [2,1,1,1,1,1] => 297
[2,7,1,4,5,3,8,6] => 0100101 => [1,1,2,1,1,1] => 359
[1,5,2,7,4,3,6,8] => 0101100 => [1,1,1,2,2] => 255
[5,1,3,8,4,6,2,7] => 1001010 => [1,2,1,1,1,1] => 345
[6,5,8,7,1,3,2,4] => 1011010 => [1,1,2,1,1,1] => 359
[2,7,3,5,1,6,8,4] => 0101001 => [1,1,1,1,2,1] => 345
[5,7,6,8,2,1,4,3] => 0101101 => [1,1,1,2,1,1] => 359
[1,3,6,5,2,7,4,8] => 0011010 => [2,2,1,1,1] => 255
[1,2,6,5,3,4,7,8] => 0011000 => [2,2,3] => 105
[1,7,2,5,6,8,3,4] => 0100010 => [1,1,3,1,1] => 233
[1,7,2,4,8,3,5,6] => 0100100 => [1,1,2,1,2] => 252
[1,6,2,4,5,3,7,8] => 0100100 => [1,1,2,1,2] => 252
[1,3,2,8,4,5,7,6] => 0101001 => [1,1,1,1,2,1] => 345
[1,6,8,2,4,3,5,7] => 0010100 => [2,1,1,1,2] => 207
[1,6,7,2,5,3,4,8] => 0010100 => [2,1,1,1,2] => 207
[1,2,8,3,6,7,4,5] => 0010010 => [2,1,2,1,1] => 252
[1,7,2,5,3,4,8,6] => 0101001 => [1,1,1,1,2,1] => 345
[10,3,4,5,6,7,8,9,1,2] => 100000010 => [1,6,1,1] => 254
[9,3,4,5,6,7,8,1,10,2] => 100000101 => [1,5,1,1,1] => 704
[8,3,4,5,6,7,1,9,10,2] => 100001001 => [1,4,1,2,1] => 1315
[7,3,4,5,6,1,8,9,10,2] => 100010001 => [1,3,1,3,1] => 1622
[6,3,4,5,1,7,8,9,10,2] => 100100001 => [1,2,1,4,1] => 1315
[5,3,4,1,6,7,8,9,10,2] => 101000001 => [1,1,1,5,1] => 704
[4,3,1,5,6,7,8,9,10,2] => 110000001 => [2,6,1] => 204
[10,9,4,5,6,7,8,1,2,3] => 110000100 => [2,4,1,2] => 1001
[10,3,8,5,6,7,1,9,2,4] => 101001010 => [1,1,1,2,1,1,1,1] => 4274
[10,3,4,7,6,1,8,9,2,5] => 100110010 => [1,2,2,2,1,1] => 3164
[10,3,4,5,1,7,8,9,2,6] => 100100010 => [1,2,1,3,1,1] => 2548
[5,3,4,1,6,10,8,9,2,7] => 101001010 => [1,1,1,2,1,1,1,1] => 4274
[4,3,1,5,6,7,10,9,2,8] => 110000110 => [2,4,2,1] => 1182
[3,1,4,5,6,7,8,10,2,9] => 100000010 => [1,6,1,1] => 254
[7,1,5,6,2,3,8,4] => 1001001 => [1,2,1,2,1] => 281
[8,2,1,4,6,7,3,5] => 1100010 => [2,3,1,1] => 171
[7,2,6,1,3,4,8,5] => 1010001 => [1,1,1,3,1] => 219
[4,1,3,7,2,5,8,6] => 1001001 => [1,2,1,2,1] => 281
[6,2,7,5,1,3,8,4] => 1011001 => [1,1,2,2,1] => 295
[1,7,5,6,2,3,8,4] => 0101001 => [1,1,1,1,2,1] => 345
[3,7,6,1,2,4,8,5] => 0110001 => [1,2,3,1] => 185
[8,6,1,3,5,7,2,4] => 1100010 => [2,3,1,1] => 171
[1,7,4,3,8,2,5,6] => 0110100 => [1,2,1,1,2] => 241
[6,1,5,3,4,8,2,7] => 1010010 => [1,1,1,2,1,1] => 359
[3,6,7,5,2,8,1,4] => 0011010 => [2,2,1,1,1] => 255
[7,8,4,1,5,6,2,3] => 0110010 => [1,2,2,1,1] => 295
[5,8,1,3,6,7,2,4] => 0100010 => [1,1,3,1,1] => 233
[2,8,4,3,7,1,5,6] => 0110100 => [1,2,1,1,2] => 241
[3,8,4,6,7,1,2,5] => 0100100 => [1,1,2,1,2] => 252
[6,3,8,4,7,1,2,5] => 1010100 => [1,1,1,1,1,2] => 297
[1,2,5,4,8,3,6,7] => 0010100 => [2,1,1,1,2] => 207
[7,1,3,8,2,4,5,6] => 1001000 => [1,2,1,3] => 137
[8,1,3,7,2,4,5,6] => 1001000 => [1,2,1,3] => 137
[3,5,4,7,8,1,2,6] => 0100100 => [1,1,2,1,2] => 252
[8,3,1,4,7,2,5,6] => 1100100 => [2,2,1,2] => 180
[1,6,4,7,8,2,3,5] => 0100100 => [1,1,2,1,2] => 252
[5,2,3,6,7,8,1,4] => 1000010 => [1,4,1,1] => 107
[6,2,7,3,8,5,1,4] => 1010110 => [1,1,1,1,2,1] => 345
[1,3,7,8,5,6,2,4] => 0001010 => [3,1,1,1,1] => 165
[8,2,6,7,5,1,3,4] => 1001100 => [1,2,2,2] => 211
[8,1,7,4,6,2,3,5] => 1010100 => [1,1,1,1,1,2] => 297
[2,5,8,4,7,1,3,6] => 0010100 => [2,1,1,1,2] => 207
[4,5,8,7,1,2,3,6] => 0011000 => [2,2,3] => 105
[4,1,8,5,7,2,3,6] => 1010100 => [1,1,1,1,1,2] => 297
[1,8,7,4,6,2,3,5] => 0110100 => [1,2,1,1,2] => 241
[2,6,5,4,1,8,3,7] => 0111010 => [1,3,1,1,1] => 219
[6,2,5,1,4,8,3,7] => 1010010 => [1,1,1,2,1,1] => 359
[6,5,4,1,3,8,2,7] => 1110010 => [3,2,1,1] => 145
[6,3,5,4,2,8,1,7] => 1011010 => [1,1,2,1,1,1] => 359
[1,3,8,7,4,2,6,5] => 0011101 => [2,3,1,1] => 171
[8,7,4,3,1,5,2,6] => 1111010 => [4,1,1,1] => 75
[8,2,5,1,4,6,7,3] => 1010001 => [1,1,1,3,1] => 219
[3,8,4,5,1,6,7,2] => 0101001 => [1,1,1,1,2,1] => 345
[8,5,4,1,3,6,7,2] => 1110001 => [3,3,1] => 95
[8,3,1,7,5,6,4,2] => 1101011 => [2,1,1,1,2] => 207
[8,4,7,6,5,3,1,2] => 1011110 => [1,1,4,1] => 107
[8,1,4,5,7,6,3,2] => 1000111 => [1,3,3] => 95
[2,4,1,8,5,7,6,3] => 0101011 => [1,1,1,1,1,2] => 297
[8,2,1,4,7,6,3,5] => 1100110 => [2,2,2,1] => 211
[8,3,1,7,4,2,6,5] => 1101101 => [2,1,2,1,1] => 252
[8,2,7,3,1,6,5,4] => 1011011 => [1,1,2,1,2] => 252
[1,8,4,2,3,7,6,5] => 0110011 => [1,2,2,2] => 211
[3,1,2,8,7,4,6,5] => 1001101 => [1,2,2,1,1] => 295
[8,5,1,2,4,3,7,6] => 1100101 => [2,2,1,1,1] => 255
[2,8,3,7,4,1,6,5] => 0101101 => [1,1,1,2,1,1] => 359
[8,4,5,7,6,2,3,1] => 1001101 => [1,2,2,1,1] => 295
[2,3,1,8,7,6,4,5] => 0101110 => [1,1,1,3,1] => 219
[4,2,8,7,3,1,5,6] => 1011100 => [1,1,3,2] => 171
[1,3,4,8,7,2,5,6] => 0001100 => [3,2,2] => 105
[8,1,3,4,6,7,2,5] => 1000010 => [1,4,1,1] => 107
[3,4,8,2,6,7,1,5] => 0010010 => [2,1,2,1,1] => 252
[3,6,8,2,5,1,7,4] => 0010101 => [2,1,1,1,1,1] => 297
[3,8,2,5,7,4,6,1] => 0100101 => [1,1,2,1,1,1] => 359
[8,4,2,1,7,5,6,3] => 1110101 => [3,1,1,1,1] => 165
[8,2,7,5,6,4,1,3] => 1010110 => [1,1,1,1,2,1] => 345
[6,2,8,5,4,1,7,3] => 1011101 => [1,1,3,1,1] => 233
[6,8,5,4,1,7,2,3] => 0111010 => [1,3,1,1,1] => 219
[2,8,1,5,7,6,3,4] => 0100110 => [1,1,2,2,1] => 295
[3,1,8,2,7,5,6,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,5,7,1,6,4,2,3] => 1010110 => [1,1,1,1,2,1] => 345
[2,8,4,7,3,6,5,1] => 0101011 => [1,1,1,1,1,2] => 297
[8,4,7,2,1,6,5,3] => 1011011 => [1,1,2,1,2] => 252
[1,8,4,7,6,5,2,3] => 0101110 => [1,1,1,3,1] => 219
[3,5,8,1,7,4,6,2] => 0010101 => [2,1,1,1,1,1] => 297
[8,4,7,1,3,6,5,2] => 1010011 => [1,1,1,2,2] => 255
[8,2,3,4,5,6,9,1,7] => 10000010 => [1,5,1,1] => 170
[8,2,3,9,5,6,7,1,4] => 10010010 => [1,2,1,2,1,1] => 1006
[8,2,9,4,5,6,7,1,3] => 10100010 => [1,1,1,3,1,1] => 842
[8,9,3,4,5,6,7,1,2] => 01000010 => [1,1,4,1,1] => 450
[9,2,3,4,5,6,7,10,1,8] => 100000010 => [1,6,1,1] => 254
[4,2,3,1,9,8,7,6,5] => 10101111 => [1,1,1,1,4] => 275
[3,2,1,9,8,6,7,5,4] => 11011011 => [2,1,2,1,2] => 623
[9,2,10,4,5,6,7,8,1,3] => 101000010 => [1,1,1,4,1,1] => 1754
[2,3,4,7,6,8,1,5] => 0001010 => [3,1,1,1,1] => 165
[3,8,1,2,5,6,4,7] => 0100010 => [1,1,3,1,1] => 233
[8,5,2,1,4,6,7,3] => 1110001 => [3,3,1] => 95
[4,8,1,6,5,2,7,3] => 0101101 => [1,1,1,2,1,1] => 359
[4,2,6,3,8,5,7,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,5,2,6,7,1,8,3] => 0100101 => [1,1,2,1,1,1] => 359
[2,7,4,1,6,3,5,8] => 0110100 => [1,2,1,1,2] => 241
[8,3,5,4,2,7,1,6] => 1011010 => [1,1,2,1,1,1] => 359
[2,8,6,4,7,3,1,5] => 0110110 => [1,2,1,2,1] => 281
[3,1,8,6,5,2,7,4] => 1011101 => [1,1,3,1,1] => 233
[8,3,1,5,2,6,7,4] => 1101001 => [2,1,1,2,1] => 241
[3,8,2,4,1,5,7,6] => 0101001 => [1,1,1,1,2,1] => 345
[5,8,3,2,4,1,7,6] => 0110101 => [1,2,1,1,1,1] => 345
[6,5,3,2,4,8,1,7] => 1110010 => [3,2,1,1] => 145
[5,2,4,6,1,3,8,7] => 1001001 => [1,2,1,2,1] => 281
[7,2,3,4,6,8,1,5] => 1000010 => [1,4,1,1] => 107
[8,3,4,6,7,5,1,2] => 1000110 => [1,3,2,1] => 185
[6,8,3,4,7,5,2,1] => 0100111 => [1,1,2,3] => 145
[5,8,6,1,3,4,7,2] => 0110001 => [1,2,3,1] => 185
[4,8,1,5,7,6,3,2] => 0100111 => [1,1,2,3] => 145
[3,7,4,6,8,2,5,1] => 0100101 => [1,1,2,1,1,1] => 359
[4,7,1,6,8,3,2,5] => 0100110 => [1,1,2,2,1] => 295
[4,5,2,8,1,7,3,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,7,5,2,8,6,1,4] => 0110110 => [1,2,1,2,1] => 281
[4,8,5,2,6,7,1,3] => 0110010 => [1,2,2,1,1] => 295
[5,4,8,6,1,2,7,3] => 1011001 => [1,1,2,2,1] => 295
[8,4,6,5,2,7,3,1] => 1011011 => [1,1,2,1,2] => 252
[8,1,6,4,7,5,2,3] => 1010110 => [1,1,1,1,2,1] => 345
[5,2,7,6,4,8,1,3] => 1011010 => [1,1,2,1,1,1] => 359
[8,6,2,3,5,1,7,4] => 1100101 => [2,2,1,1,1] => 255
[8,2,5,7,4,1,3,6] => 1001100 => [1,2,2,2] => 211
[7,2,4,5,6,8,1,3] => 1000010 => [1,4,1,1] => 107
[7,1,3,5,6,2,8,4] => 1000101 => [1,3,1,1,1] => 219
[7,1,5,8,4,6,3,2] => 1001011 => [1,2,1,1,2] => 241
[6,3,8,4,7,1,5,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,1,4,3,2,8,5,6] => 1011010 => [1,1,2,1,1,1] => 359
[5,3,6,1,4,2,8,7] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,7,2,1,4,3,8,6] => 0110101 => [1,2,1,1,1,1] => 345
[7,1,8,3,5,2,4,6] => 1010100 => [1,1,1,1,1,2] => 297
[7,2,4,8,1,5,6,3] => 1001001 => [1,2,1,2,1] => 281
[7,1,8,4,2,5,6,3] => 1011001 => [1,1,2,2,1] => 295
[6,4,2,5,8,1,7,3] => 1100101 => [2,2,1,1,1] => 255
[2,1,7,5,8,3,6,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,3,8,5,6,2,1,4] => 1010110 => [1,1,1,1,2,1] => 345
[2,7,4,8,1,5,6,3] => 0101001 => [1,1,1,1,2,1] => 345
[7,4,8,3,1,5,6,2] => 1011001 => [1,1,2,2,1] => 295
[6,1,5,8,3,7,4,2] => 1001011 => [1,2,1,1,2] => 241
[2,6,3,5,8,7,4,1] => 0100111 => [1,1,2,3] => 145
[8,6,5,3,7,2,1,4] => 1110110 => [3,1,2,1] => 137
[4,8,5,3,7,2,1,6] => 0110110 => [1,2,1,2,1] => 281
[7,4,8,6,5,3,2,1] => 1011111 => [1,1,5] => 27
[7,4,8,5,6,3,1,2] => 1010110 => [1,1,1,1,2,1] => 345
[7,8,4,1,3,5,6,2] => 0110001 => [1,2,3,1] => 185
[7,8,3,4,1,5,6,2] => 0101001 => [1,1,1,1,2,1] => 345
[7,3,1,8,2,5,6,4] => 1101001 => [2,1,1,2,1] => 241
[7,2,3,8,1,5,6,4] => 1001001 => [1,2,1,2,1] => 281
[6,4,8,7,3,2,1,5] => 1011110 => [1,1,4,1] => 107
[2,7,4,8,6,3,1,5] => 0101110 => [1,1,1,3,1] => 219
[6,4,8,2,3,1,7,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,2,1,8,3,5,6,4] => 1101001 => [2,1,1,2,1] => 241
[5,1,6,3,8,2,4,7] => 1010100 => [1,1,1,1,1,2] => 297
[3,6,5,1,4,8,7,2] => 0110011 => [1,2,2,2] => 211
[7,3,6,2,8,4,1,5] => 1010110 => [1,1,1,1,2,1] => 345
[6,5,1,8,4,7,2,3] => 1101010 => [2,1,1,1,1,1] => 297
[7,5,4,8,1,6,2,3] => 1101010 => [2,1,1,1,1,1] => 297
[4,3,5,8,7,1,2,6] => 1001100 => [1,2,2,2] => 211
[3,5,6,8,1,4,2,7] => 0001010 => [3,1,1,1,1] => 165
[4,3,5,8,2,1,6,7] => 1001100 => [1,2,2,2] => 211
[6,4,7,2,3,1,5,8] => 1010100 => [1,1,1,1,1,2] => 297
[6,8,1,5,4,2,7,3] => 0101101 => [1,1,1,2,1,1] => 359
[7,8,6,3,1,4,2,5] => 0111010 => [1,3,1,1,1] => 219
[7,8,6,3,5,1,2,4] => 0110100 => [1,2,1,1,2] => 241
[7,2,8,5,4,6,3,1] => 1011011 => [1,1,2,1,2] => 252
[6,1,8,4,7,2,3,5] => 1010100 => [1,1,1,1,1,2] => 297
[5,6,4,3,7,1,8,2] => 0110101 => [1,2,1,1,1,1] => 345
[6,5,3,7,2,4,8,1] => 1101001 => [2,1,1,2,1] => 241
[5,6,2,8,4,3,7,1] => 0101101 => [1,1,1,2,1,1] => 359
[4,1,2,6,8,3,7,5] => 1000101 => [1,3,1,1,1] => 219
[7,1,3,6,5,8,4,2] => 1001011 => [1,2,1,1,2] => 241
[5,7,4,3,6,8,2,1] => 0110011 => [1,2,2,2] => 211
[4,6,2,7,8,3,5,1] => 0100101 => [1,1,2,1,1,1] => 359
[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] => 297
[5,6,3,4,8,2,7,1] => 0100101 => [1,1,2,1,1,1] => 359
[5,2,6,4,1,7,8,3] => 1011001 => [1,1,2,2,1] => 295
[5,8,4,6,3,2,7,1] => 0101101 => [1,1,1,2,1,1] => 359
[5,4,3,8,6,2,7,1] => 1101101 => [2,1,2,1,1] => 252
[5,7,8,2,4,3,6,1] => 0010101 => [2,1,1,1,1,1] => 297
[5,6,2,4,8,3,7,1] => 0100101 => [1,1,2,1,1,1] => 359
[6,4,7,8,2,3,5,1] => 1001001 => [1,2,1,2,1] => 281
[3,7,5,2,4,8,1,6] => 0110010 => [1,2,2,1,1] => 295
[4,7,5,2,3,8,6,1] => 0110011 => [1,2,2,2] => 211
[6,4,7,3,2,5,8,1] => 1011001 => [1,1,2,2,1] => 295
[5,7,3,2,8,4,6,1] => 0110101 => [1,2,1,1,1,1] => 345
[5,3,7,2,8,4,6,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,3,7,2,5,8,6,1] => 1010011 => [1,1,1,2,2] => 255
[4,7,3,2,5,8,6,1] => 0110011 => [1,2,2,2] => 211
[4,7,3,2,6,8,5,1] => 0110011 => [1,2,2,2] => 211
[7,5,3,2,6,4,8,1] => 1110101 => [3,1,1,1,1] => 165
[8,5,2,6,7,3,4,1] => 1100101 => [2,2,1,1,1] => 255
[8,4,2,6,3,7,5,1] => 1101011 => [2,1,1,1,2] => 207
[7,4,6,2,3,8,5,1] => 1010011 => [1,1,1,2,2] => 255
[7,5,6,2,8,3,4,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,7,6,2,8,3,4,1] => 0110101 => [1,2,1,1,1,1] => 345
[4,7,6,2,3,8,5,1] => 0110011 => [1,2,2,2] => 211
[7,6,3,2,5,8,1,4] => 1110010 => [3,2,1,1] => 145
[7,6,4,2,5,8,3,1] => 1110011 => [3,2,2] => 105
[2,10,4,5,6,7,8,9,1,3] => 010000010 => [1,1,5,1,1] => 794
[9,8,4,5,6,7,1,2,10,3] => 110001001 => [2,3,1,2,1] => 1902
[2,10,9,5,6,7,8,1,3,4] => 011000100 => [1,2,3,1,2] => 1942
[9,3,8,5,6,7,1,2,10,4] => 101001001 => [1,1,1,2,1,2,1] => 3556
[9,7,4,5,6,1,8,2,10,3] => 110010101 => [2,2,1,1,1,1,1] => 3036
[2,10,4,9,6,7,8,1,3,5] => 010100100 => [1,1,1,1,2,1,2] => 3054
[2,10,8,5,6,7,1,9,3,4] => 011001010 => [1,2,2,1,1,1,1] => 3584
[6,3,8,5,4,7,2,1] => 1011011 => [1,1,2,1,2] => 252
[1,3,2,4,5,6,7,8,9] => 01000000 => [1,1,6] => 35
[1,4,2,3,5,6,7,8,9] => 01000000 => [1,1,6] => 35
[1,3,2,4,5,6,7,8,9,10] => 010000000 => [1,1,7] => 44
[2,4,6,3,8,7,5,1] => 0010111 => [2,1,1,3] => 117
[2,4,6,1,8,7,3,5] => 0010110 => [2,1,1,2,1] => 241
[2,4,3,6,8,7,1,5] => 0100110 => [1,1,2,2,1] => 295
[2,4,6,3,8,7,1,5] => 0010110 => [2,1,1,2,1] => 241
[2,4,6,5,8,7,1,3] => 0010110 => [2,1,1,2,1] => 241
[2,4,6,8,5,7,3,1] => 0001011 => [3,1,1,2] => 117
[2,4,6,8,5,7,1,3] => 0001010 => [3,1,1,1,1] => 165
[2,4,6,8,3,7,1,5] => 0001010 => [3,1,1,1,1] => 165
[2,4,6,8,1,7,3,5] => 0001010 => [3,1,1,1,1] => 165
[2,4,6,5,1,8,7,3] => 0011011 => [2,2,1,2] => 180
[2,4,6,5,8,3,7,1] => 0010101 => [2,1,1,1,1,1] => 297
[2,4,6,5,8,1,7,3] => 0010101 => [2,1,1,1,1,1] => 297
[2,4,6,8,5,1,7,3] => 0001101 => [3,2,1,1] => 145
[2,4,6,8,7,3,5,1] => 0001101 => [3,2,1,1] => 145
[2,4,6,8,7,1,5,3] => 0001101 => [3,2,1,1] => 145
[2,4,6,8,7,1,3,5] => 0001100 => [3,2,2] => 105
[2,4,6,8,5,1,3,7] => 0001100 => [3,2,2] => 105
[2,4,6,5,1,8,3,7] => 0011010 => [2,2,1,1,1] => 255
[2,4,6,5,1,3,8,7] => 0011001 => [2,2,2,1] => 211
[2,4,6,5,3,8,1,7] => 0011010 => [2,2,1,1,1] => 255
[2,4,6,5,8,3,1,7] => 0010110 => [2,1,1,2,1] => 241
[2,4,6,8,5,3,1,7] => 0001110 => [3,3,1] => 95
[2,4,6,8,7,3,1,5] => 0001110 => [3,3,1] => 95
[2,4,6,8,7,5,1,3] => 0001110 => [3,3,1] => 95
[4,8,7,5,2,1,3,6] => 0111100 => [1,4,2] => 81
[6,1,4,7,5,8,2,3] => 1001010 => [1,2,1,1,1,1] => 345
[1,8,6,5,3,2,7,4] => 0111101 => [1,4,1,1] => 107
[1,6,3,5,8,2,4,7] => 0100100 => [1,1,2,1,2] => 252
[4,6,1,7,8,5,3,2] => 0100111 => [1,1,2,3] => 145
[6,1,2,7,8,4,5,3] => 1000101 => [1,3,1,1,1] => 219
[6,1,3,2,7,8,5,4] => 1010011 => [1,1,1,2,2] => 255
[5,6,3,1,7,4,8,2] => 0110101 => [1,2,1,1,1,1] => 345
[4,8,3,7,1,6,5,2] => 0101011 => [1,1,1,1,1,2] => 297
[8,7,2,6,5,1,4,3] => 1101101 => [2,1,2,1,1] => 252
[5,8,3,2,1,7,6,4] => 0111011 => [1,3,1,2] => 157
[5,4,3,8,1,7,6,2] => 1101011 => [2,1,1,1,2] => 207
[6,5,3,8,7,1,4,2] => 1101101 => [2,1,2,1,1] => 252
[4,3,8,2,7,6,5,1] => 1010111 => [1,1,1,1,3] => 165
[4,8,2,7,6,5,3,1] => 0101111 => [1,1,1,4] => 75
[7,8,2,6,5,4,1,3] => 0101110 => [1,1,1,3,1] => 219
[3,8,7,6,2,5,1,4] => 0111010 => [1,3,1,1,1] => 219
[4,8,3,7,2,1,6,5] => 0101101 => [1,1,1,2,1,1] => 359
[8,6,3,1,7,5,4,2] => 1110111 => [3,1,3] => 69
[8,6,3,7,1,5,4,2] => 1101011 => [2,1,1,1,2] => 207
[4,8,3,7,6,2,5,1] => 0101101 => [1,1,1,2,1,1] => 359
[5,8,2,7,6,4,1,3] => 0101110 => [1,1,1,3,1] => 219
[8,4,2,1,7,6,5,3] => 1110111 => [3,1,3] => 69
[1,6,4,2,5,3,7,8] => 0110100 => [1,2,1,1,2] => 241
[1,8,6,2,7,3,4,5] => 0110100 => [1,2,1,1,2] => 241
[1,6,3,2,4,5,7,8] => 0110000 => [1,2,4] => 65
[1,5,2,6,4,3,7,8] => 0101100 => [1,1,1,2,2] => 255
[1,5,2,4,6,3,7,8] => 0100100 => [1,1,2,1,2] => 252
[1,8,6,2,3,7,4,5] => 0110010 => [1,2,2,1,1] => 295
[1,5,2,8,6,3,4,7] => 0101100 => [1,1,1,2,2] => 255
[1,3,6,8,2,7,4,5] => 0001010 => [3,1,1,1,1] => 165
[1,4,3,8,2,5,6,7] => 0101000 => [1,1,1,1,3] => 165
[1,7,2,3,8,5,4,6] => 0100110 => [1,1,2,2,1] => 295
[1,3,8,4,2,5,6,7] => 0011000 => [2,2,3] => 105
[1,6,2,8,5,4,3,7] => 0101110 => [1,1,1,3,1] => 219
[1,7,2,3,8,6,4,5] => 0100110 => [1,1,2,2,1] => 295
[1,5,3,8,2,7,4,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,4,8,2,5,6,3,7] => 0010010 => [2,1,2,1,1] => 252
[1,5,7,3,2,8,4,6] => 0011010 => [2,2,1,1,1] => 255
[1,2,7,3,6,8,4,5] => 0010010 => [2,1,2,1,1] => 252
[1,7,2,3,6,8,4,5] => 0100010 => [1,1,3,1,1] => 233
[1,4,8,3,2,5,6,7] => 0011000 => [2,2,3] => 105
[1,7,2,5,8,3,4,6] => 0100100 => [1,1,2,1,2] => 252
[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] => 133
[6,2,3,4,5,9,7,8,1] => 10000101 => [1,4,1,1,1] => 410
[5,2,3,4,9,6,7,8,1] => 10001001 => [1,3,1,2,1] => 646
[4,2,3,9,5,6,7,8,1] => 10010001 => [1,2,1,3,1] => 646
[3,2,9,4,5,6,7,8,1] => 10100001 => [1,1,1,4,1] => 410
[2,9,3,4,5,6,7,8,1] => 01000001 => [1,1,5,1] => 170
[9,2,3,4,5,6,7,8,10,1] => 100000001 => [1,7,1] => 65
[6,2,3,4,5,1,8,9,7] => 10001001 => [1,3,1,2,1] => 646
[8,2,3,4,5,6,7,10,9,1] => 100000011 => [1,6,2] => 204
[5,2,3,4,1,7,9,8,6] => 10010011 => [1,2,1,2,2] => 725
[7,2,3,4,5,6,10,8,9,1] => 100000101 => [1,5,1,1,1] => 704
[6,2,3,5,8,1,7,4] => 1000101 => [1,3,1,1,1] => 219
[4,2,3,1,6,9,7,8,5] => 10100101 => [1,1,1,2,1,1,1] => 1234
[6,2,3,4,5,10,7,8,9,1] => 100001001 => [1,4,1,2,1] => 1315
[5,2,4,8,1,6,7,3] => 1001001 => [1,2,1,2,1] => 281
[3,2,1,5,9,6,7,8,4] => 11001001 => [2,2,1,2,1] => 725
[5,2,3,4,10,6,7,8,9,1] => 100010001 => [1,3,1,3,1] => 1622
[2,1,4,9,5,6,7,8,3] => 10010001 => [1,2,1,3,1] => 646
[4,2,3,10,5,6,7,8,9,1] => 100100001 => [1,2,1,4,1] => 1315
[1,3,9,4,5,6,7,8,2] => 00100001 => [2,1,4,1] => 303
[3,2,10,4,5,6,7,8,9,1] => 101000001 => [1,1,1,5,1] => 704
[2,10,3,4,5,6,7,8,9,1] => 010000001 => [1,1,6,1] => 254
[2,3,5,6,4,7,8,1,9] => 00010010 => [3,1,2,1,1] => 502
[1,3,4,6,7,5,8,9,2] => 00001001 => [4,1,2,1] => 235
[2,3,4,6,7,5,8,9,1,10] => 000010010 => [4,1,2,1,1] => 901
[2,3,6,5,7,4,8,1,9] => 00101010 => [2,1,1,1,1,1,1] => 1001
[2,3,5,6,7,1,8,4,9] => 00001010 => [4,1,1,1,1] => 275
[2,6,4,5,7,3,1,8] => 0100110 => [1,1,2,2,1] => 295
[2,5,6,3,4,7,1,8] => 0010010 => [2,1,2,1,1] => 252
[1,3,7,5,6,8,4,2] => 0010011 => [2,1,2,2] => 180
[1,3,6,7,4,5,8,2] => 0001001 => [3,1,2,1] => 137
[1,3,4,7,6,8,5,9,2] => 00010101 => [3,1,1,1,1,1] => 572
[1,3,4,6,7,8,2,9,5] => 00000101 => [5,1,1,1] => 110
[1,3,4,5,7,8,6,9,10,2] => 000001001 => [5,1,2,1] => 375
[1,5,6,3,4,2,7,8] => 0010100 => [2,1,1,1,2] => 207
[1,5,6,3,4,7,2,8] => 0010010 => [2,1,2,1,1] => 252
[1,5,3,6,4,2,7,8] => 0101100 => [1,1,1,2,2] => 255
[1,7,5,6,8,3,4,2] => 0100101 => [1,1,2,1,1,1] => 359
[1,7,5,6,3,8,4,2] => 0101011 => [1,1,1,1,1,2] => 297
[1,3,7,5,2,8,6,4] => 0011011 => [2,2,1,2] => 180
[1,3,7,2,5,8,6,4] => 0010011 => [2,1,2,2] => 180
[1,5,3,7,4,6,2,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,5,3,7,6,4,2,8] => 0101110 => [1,1,1,3,1] => 219
[1,5,3,6,7,4,2,8] => 0100110 => [1,1,2,2,1] => 295
[1,5,6,3,7,4,2,8] => 0010110 => [2,1,1,2,1] => 241
[1,5,7,6,3,4,8,2] => 0011001 => [2,2,2,1] => 211
[1,5,7,3,6,4,8,2] => 0010101 => [2,1,1,1,1,1] => 297
[1,3,7,2,5,6,8,4] => 0010001 => [2,1,3,1] => 157
[1,3,7,5,6,2,8,4] => 0010101 => [2,1,1,1,1,1] => 297
[2,5,7,4,1,3,8,6] => 0011001 => [2,2,2,1] => 211
[6,7,3,1,8,5,2,4] => 0110110 => [1,2,1,2,1] => 281
[6,3,1,5,8,7,2,4] => 1100110 => [2,2,2,1] => 211
[8,3,5,1,7,6,2,4] => 1010110 => [1,1,1,1,2,1] => 345
[4,6,3,5,8,2,1,7] => 0100110 => [1,1,2,2,1] => 295
[2,3,6,4,1,8,7,5] => 0011011 => [2,2,1,2] => 180
[7,4,5,2,1,8,6,3] => 1011011 => [1,1,2,1,2] => 252
[4,7,5,2,1,8,6,3] => 0111011 => [1,3,1,2] => 157
[8,5,3,6,2,1,7,4] => 1101101 => [2,1,2,1,1] => 252
[4,5,7,3,1,2,8,6] => 0011001 => [2,2,2,1] => 211
[4,5,1,8,3,2,7,6] => 0101101 => [1,1,1,2,1,1] => 359
[5,7,4,6,3,2,1,8] => 0101110 => [1,1,1,3,1] => 219
[3,6,1,2,4,8,7,5] => 0100011 => [1,1,3,2] => 171
[2,5,3,8,4,1,7,6] => 0101101 => [1,1,1,2,1,1] => 359
[8,6,2,3,1,7,5,4] => 1101011 => [2,1,1,1,2] => 207
[7,5,2,3,1,8,6,4] => 1101011 => [2,1,1,1,2] => 207
[6,3,1,2,4,8,7,5] => 1100011 => [2,3,2] => 126
[4,7,5,2,3,6,1,8] => 0110010 => [1,2,2,1,1] => 295
[3,6,8,4,5,1,2,7] => 0010100 => [2,1,1,1,2] => 207
[5,2,3,7,6,4,1,8] => 1001110 => [1,2,3,1] => 185
[6,2,7,3,5,4,1,8] => 1010110 => [1,1,1,1,2,1] => 345
[7,2,6,5,3,4,1,8] => 1011010 => [1,1,2,1,1,1] => 359
[8,2,6,5,4,1,3,7] => 1011100 => [1,1,3,2] => 171
[6,2,8,4,5,1,3,7] => 1010100 => [1,1,1,1,1,2] => 297
[2,3,1,7,8,5,6,4] => 0100101 => [1,1,2,1,1,1] => 359
[7,2,8,5,1,4,3,6] => 1011010 => [1,1,2,1,1,1] => 359
[8,6,7,1,4,2,3,5] => 1010100 => [1,1,1,1,1,2] => 297
[6,8,7,1,4,3,2,5] => 0110110 => [1,2,1,2,1] => 281
[6,8,2,5,3,1,4,7] => 0101100 => [1,1,1,2,2] => 255
[3,7,8,5,1,4,2,6] => 0011010 => [2,2,1,1,1] => 255
[4,8,7,3,1,2,5,6] => 0111000 => [1,3,3] => 95
[4,8,6,2,3,1,5,7] => 0110100 => [1,2,1,1,2] => 241
[3,8,5,4,2,1,6,7] => 0111100 => [1,4,2] => 81
[4,5,3,8,2,1,6,7] => 0101100 => [1,1,1,2,2] => 255
[3,7,4,1,8,2,6,5] => 0110101 => [1,2,1,1,1,1] => 345
[3,8,4,1,7,6,2,5] => 0110110 => [1,2,1,2,1] => 281
[3,7,2,1,8,4,6,5] => 0110101 => [1,2,1,1,1,1] => 345
[8,7,1,6,5,2,3,4] => 1101100 => [2,1,2,2] => 180
[8,5,1,2,7,6,3,4] => 1100110 => [2,2,2,1] => 211
[3,8,2,1,7,6,4,5] => 0110110 => [1,2,1,2,1] => 281
[3,5,7,8,2,4,6,1] => 0001001 => [3,1,2,1] => 137
[7,8,2,5,4,3,6,1] => 0101101 => [1,1,1,2,1,1] => 359
[4,5,3,7,8,2,6,1] => 0100101 => [1,1,2,1,1,1] => 359
[1,5,4,7,3,6,2,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,7,3,6,8,4,5,2] => 0100101 => [1,1,2,1,1,1] => 359
[4,6,8,2,7,3,5,1] => 0010101 => [2,1,1,1,1,1] => 297
[4,7,6,3,5,1,8,2] => 0110101 => [1,2,1,1,1,1] => 345
[7,8,3,6,1,5,4,2] => 0101011 => [1,1,1,1,1,2] => 297
[2,5,7,8,4,6,1,3] => 0001010 => [3,1,1,1,1] => 165
[3,7,5,6,2,1,4,8] => 0101100 => [1,1,1,2,2] => 255
[6,2,1,7,4,5,3,8] => 1101010 => [2,1,1,1,1,1] => 297
[1,2,6,4,7,5,3,8] => 0010110 => [2,1,1,2,1] => 241
[7,5,6,3,8,4,2,1] => 1010111 => [1,1,1,1,3] => 165
[8,5,4,2,1,6,7,3] => 1111001 => [4,2,1] => 65
[2,6,8,4,7,5,1,3] => 0010110 => [2,1,1,2,1] => 241
[6,7,5,1,4,8,3,2] => 0110011 => [1,2,2,2] => 211
[7,4,1,6,5,3,8,2] => 1101101 => [2,1,2,1,1] => 252
[5,8,2,7,3,6,4,1] => 0101011 => [1,1,1,1,1,2] => 297
[1,6,5,7,3,8,4,2] => 0101011 => [1,1,1,1,1,2] => 297
[1,5,6,8,4,2,7,3] => 0001101 => [3,2,1,1] => 145
[7,5,4,1,8,2,6,3] => 1110101 => [3,1,1,1,1] => 165
[6,4,1,8,2,7,5,3] => 1101011 => [2,1,1,1,2] => 207
[7,8,5,3,2,6,1,4] => 0111010 => [1,3,1,1,1] => 219
[8,2,5,1,7,6,4,3] => 1010111 => [1,1,1,1,3] => 165
[6,7,4,3,8,2,5,1] => 0110101 => [1,2,1,1,1,1] => 345
[3,4,2,7,8,6,1,5] => 0100110 => [1,1,2,2,1] => 295
[7,8,6,1,4,3,2,5] => 0110110 => [1,2,1,2,1] => 281
[2,4,7,8,6,1,3,5] => 0001100 => [3,2,2] => 105
[3,7,8,6,5,2,4,1] => 0011101 => [2,3,1,1] => 171
[4,5,2,7,8,6,3,1] => 0100111 => [1,1,2,3] => 145
[4,6,2,5,3,1,7,8] => 0101100 => [1,1,1,2,2] => 255
[4,1,5,6,3,2,7,8] => 1001100 => [1,2,2,2] => 211
[2,6,7,5,4,1,3,8] => 0011100 => [2,3,2] => 126
[4,1,6,7,5,3,2,8] => 1001110 => [1,2,3,1] => 185
[6,7,4,3,1,5,2,8] => 0111010 => [1,3,1,1,1] => 219
[1,7,5,6,4,3,2,8] => 0101110 => [1,1,1,3,1] => 219
[7,6,5,3,1,8,4,2] => 1111011 => [4,1,2] => 55
[7,8,6,4,3,1,5,2] => 0111101 => [1,4,1,1] => 107
[4,1,7,8,6,5,3,2] => 1001111 => [1,2,4] => 65
[4,5,7,3,8,6,1,2] => 0010110 => [2,1,1,2,1] => 241
[6,8,5,3,7,2,1,4] => 0110110 => [1,2,1,2,1] => 281
[4,7,1,5,8,2,6,3] => 0100101 => [1,1,2,1,1,1] => 359
[3,7,6,2,1,8,4,5] => 0111010 => [1,3,1,1,1] => 219
[2,7,5,8,3,6,4,1] => 0101011 => [1,1,1,1,1,2] => 297
[7,4,8,2,6,5,3,1] => 1010111 => [1,1,1,1,3] => 165
[7,5,4,8,2,6,3,1] => 1101011 => [2,1,1,1,2] => 207
[4,3,8,1,6,5,2,7] => 1010110 => [1,1,1,1,2,1] => 345
[2,3,6,5,7,8,1,4] => 0010010 => [2,1,2,1,1] => 252
[8,3,4,1,2,6,7,5] => 1010001 => [1,1,1,3,1] => 219
[7,3,4,8,5,2,1,6] => 1001110 => [1,2,3,1] => 185
[7,3,8,4,1,5,6,2] => 1011001 => [1,1,2,2,1] => 295
[7,2,4,5,1,8,3,6] => 1001010 => [1,2,1,1,1,1] => 345
[7,3,1,2,8,5,6,4] => 1100101 => [2,2,1,1,1] => 255
[4,8,2,3,5,7,6,1] => 0100011 => [1,1,3,2] => 171
[4,5,2,3,8,6,7,1] => 0100101 => [1,1,2,1,1,1] => 359
[6,7,4,8,5,3,2,1] => 0101111 => [1,1,1,4] => 75
[4,3,5,6,1,7,8,2] => 1001001 => [1,2,1,2,1] => 281
[3,5,2,6,4,7,8,1] => 0101001 => [1,1,1,1,2,1] => 345
[4,1,2,8,5,7,6,3] => 1001011 => [1,2,1,1,2] => 241
[3,1,5,6,4,7,8,2] => 1001001 => [1,2,1,2,1] => 281
[3,1,4,6,7,5,8,2] => 1000101 => [1,3,1,1,1] => 219
[2,6,4,5,8,1,3,7] => 0100100 => [1,1,2,1,2] => 252
[6,4,1,3,5,8,2,7] => 1100010 => [2,3,1,1] => 171
[3,4,1,7,2,6,8,5] => 0101001 => [1,1,1,1,2,1] => 345
[2,4,7,5,8,1,3,6] => 0010100 => [2,1,1,1,2] => 207
[3,7,6,2,1,5,8,4] => 0111001 => [1,3,2,1] => 185
[4,2,6,1,3,7,8,5] => 1010001 => [1,1,1,3,1] => 219
[8,5,4,2,7,6,3,1] => 1110111 => [3,1,3] => 69
[2,8,4,6,7,1,3,5] => 0100100 => [1,1,2,1,2] => 252
[5,8,2,1,4,6,7,3] => 0110001 => [1,2,3,1] => 185
[8,4,6,1,2,5,7,3] => 1010001 => [1,1,1,3,1] => 219
[3,7,8,4,2,6,5,1] => 0011011 => [2,2,1,2] => 180
[5,6,2,8,7,1,3,4] => 0101100 => [1,1,1,2,2] => 255
[7,1,3,8,4,5,6,2] => 1001001 => [1,2,1,2,1] => 281
[7,8,1,4,3,5,6,2] => 0101001 => [1,1,1,1,2,1] => 345
[3,6,7,2,8,1,5,4] => 0010101 => [2,1,1,1,1,1] => 297
[2,6,7,1,3,5,8,4] => 0010001 => [2,1,3,1] => 157
[3,6,7,1,8,2,5,4] => 0010101 => [2,1,1,1,1,1] => 297
[3,4,1,8,7,2,6,5] => 0101101 => [1,1,1,2,1,1] => 359
[3,1,5,7,2,8,6,4] => 1001011 => [1,2,1,1,2] => 241
[4,8,1,3,2,7,6,5] => 0101011 => [1,1,1,1,1,2] => 297
[4,1,8,3,2,7,6,5] => 1011011 => [1,1,2,1,2] => 252
[3,8,2,4,7,1,6,5] => 0100101 => [1,1,2,1,1,1] => 359
[3,2,4,8,7,1,6,5] => 1001101 => [1,2,2,1,1] => 295
[3,2,5,7,1,8,6,4] => 1001011 => [1,2,1,1,2] => 241
[4,2,8,3,1,7,6,5] => 1011011 => [1,1,2,1,2] => 252
[4,8,2,1,3,7,6,5] => 0110011 => [1,2,2,2] => 211
[4,2,8,1,3,7,6,5] => 1010011 => [1,1,1,2,2] => 255
[2,3,4,6,8,7,1,5] => 0000110 => [4,2,1] => 65
[5,6,4,7,1,2,8,3] => 0101001 => [1,1,1,1,2,1] => 345
[4,6,7,5,8,2,3,1] => 0010101 => [2,1,1,1,1,1] => 297
[4,5,7,1,6,8,3,2] => 0010011 => [2,1,2,2] => 180
[3,2,7,6,8,1,4,5] => 1010100 => [1,1,1,1,1,2] => 297
[4,5,1,7,6,8,2,3] => 0101010 => [1,1,1,1,1,1,1] => 429
[6,7,2,8,3,1,4,5] => 0101100 => [1,1,1,2,2] => 255
[7,6,3,1,2,8,4,5] => 1110010 => [3,2,1,1] => 145
[6,2,7,8,4,1,3,5] => 1001100 => [1,2,2,2] => 211
[7,8,5,2,4,1,3,6] => 0110100 => [1,2,1,1,2] => 241
[7,6,2,3,1,8,4,5] => 1101010 => [2,1,1,1,1,1] => 297
[4,2,5,1,3,7,8,6] => 1010001 => [1,1,1,3,1] => 219
[3,5,1,4,2,7,8,6] => 0101001 => [1,1,1,1,2,1] => 345
[3,4,1,7,8,5,2,6] => 0100110 => [1,1,2,2,1] => 295
[4,1,3,7,8,5,2,6] => 1000110 => [1,3,2,1] => 185
[4,3,1,8,5,2,7,6] => 1101101 => [2,1,2,1,1] => 252
[3,1,8,5,4,2,7,6] => 1011101 => [1,1,3,1,1] => 233
[7,6,3,5,8,4,2,1] => 1100111 => [2,2,3] => 105
[4,5,1,3,2,7,8,6] => 0101001 => [1,1,1,1,2,1] => 345
[5,1,3,2,4,7,8,6] => 1010001 => [1,1,1,3,1] => 219
[8,3,5,6,1,7,2,4] => 1001010 => [1,2,1,1,1,1] => 345
[4,5,8,1,2,6,7,3] => 0010001 => [2,1,3,1] => 157
[5,3,6,7,8,2,1,4] => 1000110 => [1,3,2,1] => 185
[1,3,4,8,6,2,7,5] => 0001101 => [3,2,1,1] => 145
[7,2,4,1,3,8,5,6] => 1010010 => [1,1,1,2,1,1] => 359
[3,8,2,5,4,1,6,7] => 0101100 => [1,1,1,2,2] => 255
[8,4,5,2,6,1,7,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,6,8,2,3,7,5,1] => 0010011 => [2,1,2,2] => 180
[4,5,7,2,3,6,1,8] => 0010010 => [2,1,2,1,1] => 252
[2,7,3,4,1,5,6,8] => 0101000 => [1,1,1,1,3] => 165
[6,7,2,3,4,8,1,5] => 0100010 => [1,1,3,1,1] => 233
[3,5,2,4,6,7,8,1] => 0100001 => [1,1,4,1] => 107
[4,2,6,3,5,7,8,1] => 1010001 => [1,1,1,3,1] => 219
[2,3,4,5,6,1,8,7,9] => 00001010 => [4,1,1,1,1] => 275
[2,3,4,5,1,7,6,8,9] => 00010100 => [3,1,1,1,2] => 407
[2,3,4,1,6,5,7,8,9] => 00101000 => [2,1,1,1,3] => 407
[2,3,1,5,4,6,7,8,9] => 01010000 => [1,1,1,1,4] => 275
[1,4,8,5,6,2,7,3] => 0010101 => [2,1,1,1,1,1] => 297
[2,4,8,5,6,1,7,3] => 0010101 => [2,1,1,1,1,1] => 297
[6,3,5,8,4,7,1,2] => 1001010 => [1,2,1,1,1,1] => 345
[2,8,7,4,5,1,6,3] => 0110101 => [1,2,1,1,1,1] => 345
[1,3,8,5,2,6,7,4] => 0011001 => [2,2,2,1] => 211
[7,2,8,4,5,1,6,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,2,3,5,1,7,8,4] => 1001001 => [1,2,1,2,1] => 281
[8,6,2,4,1,5,7,3] => 1101001 => [2,1,1,2,1] => 241
[1,6,4,3,2,7,8,5] => 0111001 => [1,3,2,1] => 185
[8,5,3,2,1,6,7,4] => 1111001 => [4,2,1] => 65
[1,7,5,2,3,6,8,4] => 0110001 => [1,2,3,1] => 185
[7,1,5,2,3,6,8,4] => 1010001 => [1,1,1,3,1] => 219
[8,1,2,5,3,6,7,4] => 1001001 => [1,2,1,2,1] => 281
[8,4,1,6,3,7,2,5] => 1101010 => [2,1,1,1,1,1] => 297
[6,7,5,3,8,2,1,4] => 0110110 => [1,2,1,2,1] => 281
[5,2,6,8,3,7,1,4] => 1001010 => [1,2,1,1,1,1] => 345
[4,2,5,8,6,7,1,3] => 1001010 => [1,2,1,1,1,1] => 345
[5,8,6,3,4,1,7,2] => 0110101 => [1,2,1,1,1,1] => 345
[3,7,2,4,1,8,6,5] => 0101011 => [1,1,1,1,1,2] => 297
[2,4,7,8,5,1,3,6] => 0001100 => [3,2,2] => 105
[2,5,3,8,4,1,6,7] => 0101100 => [1,1,1,2,2] => 255
[5,7,6,8,1,3,4,2] => 0101001 => [1,1,1,1,2,1] => 345
[3,1,7,4,5,6,2,8] => 1010010 => [1,1,1,2,1,1] => 359
[2,4,8,3,5,7,1,6] => 0010010 => [2,1,2,1,1] => 252
[8,1,7,2,4,3,5,6] => 1010100 => [1,1,1,1,1,2] => 297
[1,3,8,2,4,7,5,6] => 0010010 => [2,1,2,1,1] => 252
[1,3,7,2,4,6,5,8] => 0010010 => [2,1,2,1,1] => 252
[1,7,3,2,4,6,5,8] => 0110010 => [1,2,2,1,1] => 295
[1,8,3,7,4,2,5,6] => 0101100 => [1,1,1,2,2] => 255
[8,7,3,1,4,2,5,6] => 1110100 => [3,1,1,2] => 117
[2,8,4,3,5,7,1,6] => 0110010 => [1,2,2,1,1] => 295
[3,2,8,7,4,1,5,6] => 1011100 => [1,1,3,2] => 171
[3,2,1,7,4,6,5,8] => 1101010 => [2,1,1,1,1,1] => 297
[3,2,6,5,1,7,8,4] => 1011001 => [1,1,2,2,1] => 295
[5,3,2,6,7,1,8,4] => 1100101 => [2,2,1,1,1] => 255
[3,2,8,6,7,4,1,5] => 1010110 => [1,1,1,1,2,1] => 345
[8,4,6,2,7,3,1,5] => 1010110 => [1,1,1,1,2,1] => 345
[4,3,8,6,7,2,1,5] => 1010110 => [1,1,1,1,2,1] => 345
[4,3,6,2,8,7,1,5] => 1010110 => [1,1,1,1,2,1] => 345
[3,8,4,7,6,5,1,2] => 0101110 => [1,1,1,3,1] => 219
[7,8,4,2,6,3,5,1] => 0110101 => [1,2,1,1,1,1] => 345
[3,2,7,8,6,4,5,1] => 1001101 => [1,2,2,1,1] => 295
[3,2,7,5,6,8,4,1] => 1010011 => [1,1,1,2,2] => 255
[5,7,8,6,3,2,4,1] => 0011101 => [2,3,1,1] => 171
[6,5,4,2,1,7,8,3] => 1111001 => [4,2,1] => 65
[5,4,2,1,7,6,3,8] => 1110110 => [3,1,2,1] => 137
[4,1,6,5,2,7,8,3] => 1011001 => [1,1,2,2,1] => 295
[5,4,1,6,7,2,8,3] => 1100101 => [2,2,1,1,1] => 255
[6,8,5,3,1,7,2,4] => 0111010 => [1,3,1,1,1] => 219
[5,2,6,3,8,7,1,4] => 1010110 => [1,1,1,1,2,1] => 345
[8,6,1,7,3,4,2,5] => 1101010 => [2,1,1,1,1,1] => 297
[1,8,3,6,7,4,2,5] => 0100110 => [1,1,2,2,1] => 295
[1,6,3,5,2,7,8,4] => 0101001 => [1,1,1,1,2,1] => 345
[1,5,7,3,2,6,4,8] => 0011010 => [2,2,1,1,1] => 255
[5,1,3,7,2,6,4,8] => 1001010 => [1,2,1,1,1,1] => 345
[8,1,6,7,2,4,3,5] => 1001010 => [1,2,1,1,1,1] => 345
[6,1,4,8,2,7,3,5] => 1001010 => [1,2,1,1,1,1] => 345
[6,2,4,8,3,7,1,5] => 1001010 => [1,2,1,1,1,1] => 345
[8,7,2,6,3,5,1,4] => 1101010 => [2,1,1,1,1,1] => 297
[8,1,7,6,5,2,3,4] => 1011100 => [1,1,3,2] => 171
[7,1,5,6,8,2,4,3] => 1000101 => [1,3,1,1,1] => 219
[6,7,1,5,2,4,8,3] => 0101001 => [1,1,1,1,2,1] => 345
[7,6,1,5,2,4,3,8] => 1101010 => [2,1,1,1,1,1] => 297
[7,1,6,3,5,4,2,8] => 1010110 => [1,1,1,1,2,1] => 345
[1,6,7,3,5,4,8,2] => 0010101 => [2,1,1,1,1,1] => 297
[1,7,3,5,6,8,4,2] => 0100011 => [1,1,3,2] => 171
[1,7,8,3,6,4,5,2] => 0010101 => [2,1,1,1,1,1] => 297
[1,8,7,6,4,5,2,3] => 0111010 => [1,3,1,1,1] => 219
[8,2,7,4,6,5,1,3] => 1010110 => [1,1,1,1,2,1] => 345
[2,8,5,7,6,4,1,3] => 0101110 => [1,1,1,3,1] => 219
[7,4,5,1,6,8,3,2] => 1010011 => [1,1,1,2,2] => 255
[4,1,7,5,6,8,3,2] => 1010011 => [1,1,1,2,2] => 255
[5,6,7,4,3,1,8,2] => 0011101 => [2,3,1,1] => 171
[6,7,8,5,3,1,4,2] => 0011101 => [2,3,1,1] => 171
[1,4,6,2,5,3,7,8] => 0010100 => [2,1,1,1,2] => 207
[1,6,3,2,5,4,7,8] => 0110100 => [1,2,1,1,2] => 241
[1,6,8,2,5,4,7,3] => 0010101 => [2,1,1,1,1,1] => 297
[1,5,4,2,6,3,7,8] => 0110100 => [1,2,1,1,2] => 241
[1,2,6,4,3,5,7,8] => 0011000 => [2,2,3] => 105
[1,6,8,2,7,5,4,3] => 0010111 => [2,1,1,3] => 117
[1,7,4,3,2,6,8,5] => 0111001 => [1,3,2,1] => 185
[1,5,4,7,2,6,8,3] => 0101001 => [1,1,1,1,2,1] => 345
[1,3,7,6,2,8,5,4] => 0011011 => [2,2,1,2] => 180
[1,7,6,2,8,4,3,5] => 0110110 => [1,2,1,2,1] => 281
[1,5,2,8,4,3,7,6] => 0101101 => [1,1,1,2,1,1] => 359
[1,2,8,4,3,6,5,7] => 0011010 => [2,2,1,1,1] => 255
[1,2,8,5,6,3,4,7] => 0010100 => [2,1,1,1,2] => 207
[1,7,3,5,2,8,6,4] => 0101011 => [1,1,1,1,1,2] => 297
[1,6,7,2,5,8,4,3] => 0010011 => [2,1,2,2] => 180
[1,5,8,3,2,7,4,6] => 0011010 => [2,2,1,1,1] => 255
[1,4,5,8,2,6,3,7] => 0001010 => [3,1,1,1,1] => 165
[1,7,6,4,8,2,5,3] => 0110101 => [1,2,1,1,1,1] => 345
[1,4,8,6,5,2,7,3] => 0011101 => [2,3,1,1] => 171
[1,3,8,2,6,5,4,7] => 0010110 => [2,1,1,2,1] => 241
[1,7,6,3,8,2,4,5] => 0110100 => [1,2,1,1,2] => 241
[1,5,2,7,6,4,8,3] => 0101101 => [1,1,1,2,1,1] => 359
[1,2,4,3,8,7,5,6] => 0010110 => [2,1,1,2,1] => 241
[1,4,3,8,7,2,5,6] => 0101100 => [1,1,1,2,2] => 255
[1,3,8,6,2,4,5,7] => 0011000 => [2,2,3] => 105
[1,3,8,5,4,2,6,7] => 0011100 => [2,3,2] => 126
[1,7,2,4,8,6,5,3] => 0100111 => [1,1,2,3] => 145
[1,6,5,3,2,8,7,4] => 0111011 => [1,3,1,2] => 157
[1,3,2,8,7,5,4,6] => 0101110 => [1,1,1,3,1] => 219
[1,2,8,6,5,4,3,7] => 0011110 => [2,4,1] => 81
[8,1,3,4,6,5,2,7] => 1000110 => [1,3,2,1] => 185
[8,3,1,4,6,5,2,7] => 1100110 => [2,2,2,1] => 211
[5,8,3,1,2,6,4,7] => 0110010 => [1,2,2,1,1] => 295
[4,8,1,7,5,2,3,6] => 0101100 => [1,1,1,2,2] => 255
[4,8,1,7,5,2,6,3] => 0101101 => [1,1,1,2,1,1] => 359
[8,5,1,4,2,6,3,7] => 1101010 => [2,1,1,1,1,1] => 297
[8,4,1,3,5,6,2,7] => 1100010 => [2,3,1,1] => 171
[8,5,3,2,1,6,4,7] => 1111010 => [4,1,1,1] => 75
[8,1,5,4,2,6,3,7] => 1011010 => [1,1,2,1,1,1] => 359
[8,5,2,4,1,6,3,7] => 1101010 => [2,1,1,1,1,1] => 297
[4,8,7,1,5,2,6,3] => 0110101 => [1,2,1,1,1,1] => 345
[4,8,7,1,5,2,3,6] => 0110100 => [1,2,1,1,2] => 241
[7,6,8,4,1,3,2,5] => 1011010 => [1,1,2,1,1,1] => 359
[7,6,8,4,1,3,5,2] => 1011001 => [1,1,2,2,1] => 295
[3,8,7,5,4,1,2,6] => 0111100 => [1,4,2] => 81
[4,8,2,7,5,1,3,6] => 0101100 => [1,1,1,2,2] => 255
[7,6,8,4,1,5,2,3] => 1011010 => [1,1,2,1,1,1] => 359
[8,7,6,1,5,2,3,4] => 1110100 => [3,1,1,2] => 117
[7,1,4,8,6,3,5,2] => 1001101 => [1,2,2,1,1] => 295
[8,1,6,5,3,4,7,2] => 1011001 => [1,1,2,2,1] => 295
[8,6,2,5,3,4,7,1] => 1101001 => [2,1,1,2,1] => 241
[8,6,5,1,3,4,7,2] => 1110001 => [3,3,1] => 95
[8,7,5,1,3,6,2,4] => 1110010 => [3,2,1,1] => 145
[8,7,1,5,3,6,2,4] => 1101010 => [2,1,1,1,1,1] => 297
[8,6,1,3,5,4,7,2] => 1100101 => [2,2,1,1,1] => 255
[7,1,4,8,3,6,5,2] => 1001011 => [1,2,1,1,2] => 241
[7,8,5,2,4,3,6,1] => 0110101 => [1,2,1,1,1,1] => 345
[7,3,8,2,5,4,6,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,4,2,5,3,7,6,1] => 1101011 => [2,1,1,1,2] => 207
[4,8,1,5,3,7,6,2] => 0101011 => [1,1,1,1,1,2] => 297
[7,4,8,2,6,3,5,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,4,8,2,6,3,1,5] => 1010110 => [1,1,1,1,2,1] => 345
[8,7,3,1,6,4,2,5] => 1110110 => [3,1,2,1] => 137
[8,7,3,1,6,4,5,2] => 1110101 => [3,1,1,1,1] => 165
[8,7,3,1,4,6,5,2] => 1110011 => [3,2,2] => 105
[8,4,3,2,7,5,6,1] => 1110101 => [3,1,1,1,1] => 165
[6,4,1,7,8,5,3,2] => 1100111 => [2,2,3] => 105
[7,6,3,4,1,8,5,2] => 1101011 => [2,1,1,1,2] => 207
[8,7,3,1,6,2,5,4] => 1110101 => [3,1,1,1,1] => 165
[7,8,6,4,2,5,1,3] => 0111010 => [1,3,1,1,1] => 219
[7,8,2,4,6,5,1,3] => 0100110 => [1,1,2,2,1] => 295
[8,1,7,3,5,6,2,4] => 1010010 => [1,1,1,2,1,1] => 359
[8,7,5,2,4,6,1,3] => 1110010 => [3,2,1,1] => 145
[8,1,7,5,4,6,2,3] => 1011010 => [1,1,2,1,1,1] => 359
[8,7,3,2,6,1,5,4] => 1110101 => [3,1,1,1,1] => 165
[5,3,1,7,6,4,2,8] => 1101110 => [2,1,3,1] => 157
[1,8,6,4,2,9,7,5,3] => 01110111 => [1,3,1,3] => 332
[9,7,5,3,1,8,6,4,2,10] => 111101110 => [4,1,3,1] => 626
[8,6,4,2,1,7,5,3,9] => 11110110 => [4,1,2,1] => 235
[8,7,5,3,1,6,4,2,9] => 11110110 => [4,1,2,1] => 235
[7,5,3,2,1,6,4,8] => 1111010 => [4,1,1,1] => 75
[7,6,5,3,1,4,2,8] => 1111010 => [4,1,1,1] => 75
[1,8,6,4,3,2,7,5] => 0111101 => [1,4,1,1] => 107
[1,9,7,5,3,2,8,6,4] => 01111011 => [1,4,1,2] => 303
[1,8,7,6,4,2,5,3] => 0111101 => [1,4,1,1] => 107
[1,9,8,6,4,2,7,5,3] => 01111011 => [1,4,1,2] => 303
[1,10,8,6,4,2,9,7,5,3] => 011110111 => [1,4,1,3] => 709
[8,4,6,7,5,3,2,1] => 1001111 => [1,2,4] => 65
[1,4,8,6,7,5,3,2] => 0010111 => [2,1,1,3] => 117
[7,6,2,5,8,4,3,1] => 1100111 => [2,2,3] => 105
[1,7,3,6,8,5,4,2] => 0100111 => [1,1,2,3] => 145
[8,6,2,5,7,4,3,1] => 1100111 => [2,2,3] => 105
[7,1,3,6,8,5,4,2] => 1000111 => [1,3,3] => 95
[1,8,3,6,7,5,4,2] => 0100111 => [1,1,2,3] => 145
[8,1,7,6,4,5,3,2] => 1011011 => [1,1,2,1,2] => 252
[7,1,8,6,4,5,3,2] => 1011011 => [1,1,2,1,2] => 252
[1,6,2,7,4,5,3,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,8,2,6,4,3,5,7] => 0101100 => [1,1,1,2,2] => 255
[1,7,2,6,4,3,5,8] => 0101100 => [1,1,1,2,2] => 255
[1,7,2,5,4,6,3,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[6,5,7,2,8,3,4,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,2,7,5,8,1,4,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,7,2,5,8,1,4,3] => 0100101 => [1,1,2,1,1,1] => 359
[6,5,7,3,8,1,4,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,3,7,4,8,2,5,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,3,7,4,8,1,5,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,7,6,4,2,5,3,1] => 1111011 => [4,1,2] => 55
[8,7,4,6,2,3,5,1] => 1101001 => [2,1,1,2,1] => 241
[6,8,4,5,7,3,2,1] => 0100111 => [1,1,2,3] => 145
[6,7,5,1,4,3,8,2] => 0110101 => [1,2,1,1,1,1] => 345
[7,8,5,1,4,3,6,2] => 0110101 => [1,2,1,1,1,1] => 345
[2,7,6,8,3,5,1,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[7,2,1,5,3,8,6,4] => 1101011 => [2,1,1,1,2] => 207
[5,8,2,7,6,1,3,4] => 0101100 => [1,1,1,2,2] => 255
[5,1,8,7,3,4,2,6] => 1011010 => [1,1,2,1,1,1] => 359
[8,2,3,6,7,1,4,5] => 1000100 => [1,3,1,2] => 157
[4,2,3,1,5,8,6,7] => 1010010 => [1,1,1,2,1,1] => 359
[6,3,5,1,2,4,7,8,9] => 10100000 => [1,1,1,5] => 110
[8,6,5,4,3,2,1,7,9] => 11111100 => [6,2] => 28
[3,1,2,4,5,6,7,8,9,10] => 100000000 => [1,8] => 9
[6,3,5,1,2,4,7,8,9,10] => 101000000 => [1,1,1,6] => 154
[9,7,6,5,4,3,2,1,8,10] => 111111100 => [7,2] => 36
[10,8,6,9,4,7,2,5,1,3] => 110101010 => [2,1,1,1,1,1,1,1] => 3432
[2,4,8,7,5,3,1,6] => 0011110 => [2,4,1] => 81
[2,6,8,7,5,3,4,1] => 0011101 => [2,3,1,1] => 171
[2,6,5,1,4,3,8,7] => 0110101 => [1,2,1,1,1,1] => 345
[6,5,1,2,4,3,8,7] => 1100101 => [2,2,1,1,1] => 255
[4,6,5,3,1,2,8,7] => 0111001 => [1,3,2,1] => 185
[4,8,7,5,3,1,2,6] => 0111100 => [1,4,2] => 81
[4,6,8,7,5,3,1,2] => 0011110 => [2,4,1] => 81
[6,8,7,5,3,1,4,2] => 0111101 => [1,4,1,1] => 107
[8,7,5,6,3,1,4,2] => 1101101 => [2,1,2,1,1] => 252
[8,7,3,4,6,5,1,2] => 1100110 => [2,2,2,1] => 211
[2,1,4,8,7,3,6,5] => 1001101 => [1,2,2,1,1] => 295
[4,8,7,3,1,2,6,5] => 0111001 => [1,3,2,1] => 185
[8,7,3,4,1,2,6,5] => 1101001 => [2,1,1,2,1] => 241
[8,7,3,1,6,5,2,4] => 1110110 => [3,1,2,1] => 137
[8,7,3,2,6,5,1,4] => 1110110 => [3,1,2,1] => 137
[2,8,7,3,4,6,5,1] => 0110011 => [1,2,2,2] => 211
[2,8,7,3,6,5,1,4] => 0110110 => [1,2,1,2,1] => 281
[2,8,7,1,6,5,3,4] => 0110110 => [1,2,1,2,1] => 281
[8,7,1,2,6,5,3,4] => 1100110 => [2,2,2,1] => 211
[8,7,1,2,4,3,6,5] => 1100101 => [2,2,1,1,1] => 255
[2,1,8,7,3,4,6,5] => 1011001 => [1,1,2,2,1] => 295
[8,7,5,1,2,4,3,6] => 1110010 => [3,2,1,1] => 145
[2,8,7,1,4,3,6,5] => 0110101 => [1,2,1,1,1,1] => 345
[2,8,7,3,4,1,6,5] => 0110101 => [1,2,1,1,1,1] => 345
[2,8,7,5,6,3,4,1] => 0110101 => [1,2,1,1,1,1] => 345
[2,4,8,7,3,1,6,5] => 0011101 => [2,3,1,1] => 171
[2,8,7,3,1,4,6,5] => 0111001 => [1,3,2,1] => 185
[2,4,3,1,8,7,5,6] => 0110110 => [1,2,1,2,1] => 281
[4,3,1,2,6,8,7,5] => 1100011 => [2,3,2] => 126
[2,8,7,5,6,3,1,4] => 0110110 => [1,2,1,2,1] => 281
[2,8,7,5,3,1,6,4] => 0111101 => [1,4,1,1] => 107
[2,8,7,5,3,6,4,1] => 0111011 => [1,3,1,2] => 157
[2,8,7,5,6,1,4,3] => 0110101 => [1,2,1,1,1,1] => 345
[2,6,8,7,5,1,4,3] => 0011101 => [2,3,1,1] => 171
[6,8,7,5,1,2,4,3] => 0111001 => [1,3,2,1] => 185
[8,7,5,6,1,2,4,3] => 1101001 => [2,1,1,2,1] => 241
[8,7,1,2,4,6,5,3] => 1100011 => [2,3,2] => 126
[2,4,8,7,3,6,5,1] => 0011011 => [2,2,1,2] => 180
[8,7,2,4,3,6,5,1] => 1101011 => [2,1,1,1,2] => 207
[4,8,7,1,2,6,5,3] => 0110011 => [1,2,2,2] => 211
[8,7,5,3,1,2,6,4] => 1111001 => [4,2,1] => 65
[8,7,5,3,6,4,1,2] => 1110110 => [3,1,2,1] => 137
[8,7,1,4,3,6,5,2] => 1101011 => [2,1,1,1,2] => 207
[8,7,3,4,1,6,5,2] => 1101011 => [2,1,1,1,2] => 207
[10,3,2,4,5,6,7,8,9,1] => 110000001 => [2,6,1] => 204
[9,4,3,2,5,6,7,8,1] => 11100001 => [3,4,1] => 196
[8,1,2,3,4,5,7,6,9] => 10000010 => [1,5,1,1] => 170
[7,1,2,3,5,4,6,8] => 1000100 => [1,3,1,2] => 157
[1,9,2,3,4,5,6,8,7] => 01000001 => [1,1,5,1] => 170
[9,1,2,3,4,5,6,8,7,10] => 100000010 => [1,6,1,1] => 254
[8,1,2,3,4,7,6,5,9] => 10000110 => [1,4,2,1] => 358
[8,1,2,3,4,6,5,7,9] => 10000100 => [1,4,1,2] => 303
[7,1,2,6,4,5,3,8] => 1001010 => [1,2,1,1,1,1] => 345
[7,1,2,4,3,5,6,8] => 1001000 => [1,2,1,3] => 137
[1,9,2,3,4,5,8,7,6] => 01000011 => [1,1,4,2] => 343
[1,9,2,3,4,5,7,6,8] => 01000010 => [1,1,4,1,1] => 450
[1,10,2,3,4,5,6,7,9,8] => 010000001 => [1,1,6,1] => 254
[4,7,3,6,5,1,2,8] => 0101100 => [1,1,1,2,2] => 255
[7,5,4,2,8,3,1,6] => 1110110 => [3,1,2,1] => 137
[8,3,6,1,5,2,4,7] => 1010100 => [1,1,1,1,1,2] => 297
[3,1,6,8,5,7,2,4] => 1001010 => [1,2,1,1,1,1] => 345
[5,7,2,1,8,4,6,3] => 0110101 => [1,2,1,1,1,1] => 345
[7,2,8,6,4,3,1,5] => 1011110 => [1,1,4,1] => 107
[6,3,8,7,4,2,1,5] => 1011110 => [1,1,4,1] => 107
[7,6,3,2,8,4,1,5] => 1110110 => [3,1,2,1] => 137
[8,6,1,3,2,4,5,7] => 1101000 => [2,1,1,3] => 117
[5,8,3,7,4,2,1,6] => 0101110 => [1,1,1,3,1] => 219
[4,1,7,3,5,8,6,2] => 1010011 => [1,1,1,2,2] => 255
[8,4,7,3,5,2,1,6] => 1010110 => [1,1,1,1,2,1] => 345
[5,4,8,1,3,2,6,7] => 1010100 => [1,1,1,1,1,2] => 297
[4,5,8,2,1,3,6,7] => 0011000 => [2,2,3] => 105
[8,1,3,5,2,4,6,7] => 1001000 => [1,2,1,3] => 137
[1,8,3,5,7,2,4,6] => 0100100 => [1,1,2,1,2] => 252
[1,7,3,8,6,2,4,5] => 0101100 => [1,1,1,2,2] => 255
[8,6,2,1,3,7,5,4] => 1110011 => [3,2,2] => 105
[8,1,4,2,7,6,3,5] => 1010110 => [1,1,1,1,2,1] => 345
[1,3,4,5,6,7,8,2,9] => 00000010 => [6,1,1] => 35
[1,3,4,5,6,7,8,10,2,9] => 000000010 => [7,1,1] => 44
[2,1,4,5,6,7,9,3,8] => 10000010 => [1,5,1,1] => 170
[2,1,4,5,6,7,8,3,9] => 10000010 => [1,5,1,1] => 170
[1,3,4,5,6,7,8,9,2,10] => 000000010 => [7,1,1] => 44
[1,5,7,3,6,8,2,4] => 0010010 => [2,1,2,1,1] => 252
[8,4,6,2,5,7,1,3] => 1010010 => [1,1,1,2,1,1] => 359
[1,3,4,7,6,8,2,5] => 0001010 => [3,1,1,1,1] => 165
[8,1,3,6,7,4,2,5] => 1000110 => [1,3,2,1] => 185
[1,2,4,7,8,5,3,6] => 0000110 => [4,2,1] => 65
[3,1,4,7,6,8,2,5] => 1001010 => [1,2,1,1,1,1] => 345
[4,1,3,7,6,8,2,5] => 1001010 => [1,2,1,1,1,1] => 345
[5,1,7,3,6,8,2,4] => 1010010 => [1,1,1,2,1,1] => 359
[6,7,8,2,4,5,1,3] => 0010010 => [2,1,2,1,1] => 252
[5,8,6,2,4,7,1,3] => 0110010 => [1,2,2,1,1] => 295
[3,8,2,6,5,7,1,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,8,3,6,7,4,1,5] => 0100110 => [1,1,2,2,1] => 295
[8,7,2,5,6,3,1,4] => 1100110 => [2,2,2,1] => 211
[8,7,1,6,4,3,2,5] => 1101110 => [2,1,3,1] => 157
[1,8,2,7,5,4,3,6] => 0101110 => [1,1,1,3,1] => 219
[3,8,1,7,5,4,2,6] => 0101110 => [1,1,1,3,1] => 219
[5,8,6,1,7,3,2,4] => 0110110 => [1,2,1,2,1] => 281
[6,7,1,2,8,4,3,5] => 0100110 => [1,1,2,2,1] => 295
[2,1,3,8,6,5,4,7] => 1001110 => [1,2,3,1] => 185
[8,2,1,7,5,4,3,6] => 1101110 => [2,1,3,1] => 157
[1,3,2,8,6,5,4,7] => 0101110 => [1,1,1,3,1] => 219
[3,4,1,7,6,8,2,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,5,7,1,8,4,3,6] => 0010110 => [2,1,1,2,1] => 241
[3,5,7,1,6,8,2,4] => 0010010 => [2,1,2,1,1] => 252
[4,5,7,6,1,8,2,3] => 0011010 => [2,2,1,1,1] => 255
[5,4,7,6,8,3,1,2] => 1010110 => [1,1,1,1,2,1] => 345
[1,5,7,8,6,3,2,4] => 0001110 => [3,3,1] => 95
[8,4,6,7,5,2,1,3] => 1001110 => [1,2,3,1] => 185
[8,3,7,5,6,2,1,4] => 1010110 => [1,1,1,1,2,1] => 345
[1,4,8,6,7,3,2,5] => 0010110 => [2,1,1,2,1] => 241
[2,4,8,6,7,3,1,5] => 0010110 => [2,1,1,2,1] => 241
[5,2,7,8,6,3,1,4] => 1001110 => [1,2,3,1] => 185
[2,3,8,7,5,4,1,6] => 0011110 => [2,4,1] => 81
[1,3,8,7,5,4,2,6] => 0011110 => [2,4,1] => 81
[8,2,7,6,4,3,1,5] => 1011110 => [1,1,4,1] => 107
[8,1,7,6,4,3,2,5] => 1011110 => [1,1,4,1] => 107
[4,1,8,6,7,3,2,5] => 1010110 => [1,1,1,1,2,1] => 345
[4,8,7,5,6,2,1,3] => 0110110 => [1,2,1,2,1] => 281
[5,6,8,1,7,4,3,2] => 0010111 => [2,1,1,3] => 117
[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] => 83
[1,8,10,9,7,6,5,4,3,2] => 001111111 => [2,7] => 36
[6,7,9,1,8,5,4,3,2] => 00101111 => [2,1,1,4] => 200
[1,7,10,9,8,6,5,4,3,2] => 001111111 => [2,7] => 36
[5,6,9,8,1,7,4,3,2] => 00110111 => [2,2,1,3] => 365
[4,1,8,7,3,6,5,2] => 1011011 => [1,1,2,1,2] => 252
[5,6,8,4,1,7,3,2] => 0011011 => [2,2,1,2] => 180
[5,4,9,8,7,1,6,3,2] => 10111011 => [1,1,3,1,2] => 609
[1,5,10,9,8,7,6,4,3,2] => 001111111 => [2,7] => 36
[4,5,8,7,3,1,6,2] => 0011101 => [2,3,1,1] => 171
[3,4,9,8,7,6,1,5,2] => 00111101 => [2,4,1,1] => 343
[1,4,10,9,8,7,6,5,3,2] => 001111111 => [2,7] => 36
[2,3,9,8,7,6,5,1,4] => 00111110 => [2,5,1] => 133
[9,8,1,10,7,6,5,4,3,2] => 110111111 => [2,1,6] => 119
[1,7,6,9,8,5,4,3,2] => 01011111 => [1,1,1,5] => 110
[7,8,10,1,9,6,5,4,3,2] => 001011111 => [2,1,1,5] => 319
[1,6,9,5,8,7,4,3,2] => 00101111 => [2,1,1,4] => 200
[8,7,6,1,9,5,4,3,2] => 11101111 => [3,1,4] => 125
[6,7,10,9,1,8,5,4,3,2] => 001101111 => [2,2,1,4] => 666
[3,1,8,4,7,6,5,2] => 1010111 => [1,1,1,1,3] => 165
[5,1,9,8,4,7,6,3,2] => 10110111 => [1,1,2,1,3] => 502
[6,7,9,5,1,8,4,3,2] => 00110111 => [2,2,1,3] => 365
[6,5,10,9,8,1,7,4,3,2] => 101110111 => [1,1,3,1,3] => 1330
[1,4,9,8,7,3,6,5,2] => 00111011 => [2,3,1,2] => 452
[5,6,9,8,4,1,7,3,2] => 00111011 => [2,3,1,2] => 452
[4,5,10,9,8,7,1,6,3,2] => 001111011 => [2,4,1,2] => 1001
[1,3,9,8,7,6,2,5,4] => 00111101 => [2,4,1,1] => 343
[1,5,8,4,3,7,6,2] => 0011011 => [2,2,1,2] => 180
[5,4,9,8,7,3,1,6,2] => 10111101 => [1,1,4,1,1] => 450
[3,4,10,9,8,7,6,1,5,2] => 001111101 => [2,5,1,1] => 624
[3,4,9,8,7,6,2,1,5] => 00111110 => [2,5,1] => 133
[3,2,10,9,8,7,6,5,1,4] => 101111110 => [1,1,6,1] => 254
[8,1,7,2,5,6,4,3] => 1010011 => [1,1,1,2,2] => 255
[8,1,3,5,2,7,6,4] => 1001011 => [1,2,1,1,2] => 241
[2,7,1,5,4,8,6,3] => 0101011 => [1,1,1,1,1,2] => 297
[8,6,2,4,3,7,5,1] => 1101011 => [2,1,1,1,2] => 207
[2,4,1,6,7,5,8,3] => 0100101 => [1,1,2,1,1,1] => 359
[8,1,4,5,6,3,7,2] => 1000101 => [1,3,1,1,1] => 219
[8,1,4,5,6,2,7,3] => 1000101 => [1,3,1,1,1] => 219
[8,1,4,7,6,2,5,3] => 1001101 => [1,2,2,1,1] => 295
[2,5,1,7,8,6,4,3] => 0100111 => [1,1,2,3] => 145
[3,5,6,2,8,7,4,1] => 0010111 => [2,1,1,3] => 117
[2,4,5,1,7,6,3,8] => 0010110 => [2,1,1,2,1] => 241
[7,3,1,5,6,4,2,8] => 1100110 => [2,2,2,1] => 211
[8,3,2,5,6,7,1,4] => 1100010 => [2,3,1,1] => 171
[8,4,5,3,7,6,2,1] => 1010111 => [1,1,1,1,3] => 165
[3,4,5,6,2,8,1,7] => 0001010 => [3,1,1,1,1] => 165
[3,7,4,2,8,5,1,6] => 0110110 => [1,2,1,2,1] => 281
[7,3,4,1,6,8,2,5] => 1010010 => [1,1,1,2,1,1] => 359
[2,6,3,1,4,7,5,8] => 0110010 => [1,2,2,1,1] => 295
[7,2,1,6,3,4,8,5] => 1101001 => [2,1,1,2,1] => 241
[7,3,4,1,6,5,8,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[3,7,4,2,5,8,6,1] => 0110011 => [1,2,2,2] => 211
[2,3,5,1,4,8,7,6] => 0010011 => [2,1,2,2] => 180
[2,7,1,3,6,8,5,4] => 0100011 => [1,1,3,2] => 171
[2,7,1,3,8,4,6,5] => 0100101 => [1,1,2,1,1,1] => 359
[3,8,7,1,6,2,5,4] => 0110101 => [1,2,1,1,1,1] => 345
[3,8,7,1,4,5,2,6] => 0110010 => [1,2,2,1,1] => 295
[3,7,4,2,1,8,6,5] => 0111011 => [1,3,1,2] => 157
[4,8,5,7,2,6,3,1] => 0101011 => [1,1,1,1,1,2] => 297
[8,4,5,7,3,2,6,1] => 1001101 => [1,2,2,1,1] => 295
[8,3,7,2,4,1,5,6] => 1010100 => [1,1,1,1,1,2] => 297
[8,6,7,2,1,4,3,5] => 1011010 => [1,1,2,1,1,1] => 359
[8,3,7,5,1,2,6,4] => 1011001 => [1,1,2,2,1] => 295
[7,3,4,6,2,1,5,8] => 1001100 => [1,2,2,2] => 211
[3,7,4,6,1,5,2,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,4,7,6,1,2,8,5] => 0011001 => [2,2,2,1] => 211
[4,5,8,7,6,1,3,2] => 0011101 => [2,3,1,1] => 171
[8,6,3,7,5,1,4,2] => 1101101 => [2,1,2,1,1] => 252
[8,7,3,5,6,1,4,2] => 1100101 => [2,2,1,1,1] => 255
[7,6,3,8,1,4,5,2] => 1101001 => [2,1,1,2,1] => 241
[8,5,2,7,6,1,3,4] => 1101100 => [2,1,2,2] => 180
[8,7,3,1,4,5,2,6] => 1110010 => [3,2,1,1] => 145
[8,4,2,5,1,6,7,3] => 1101001 => [2,1,1,2,1] => 241
[8,5,3,1,6,4,7,2] => 1110101 => [3,1,1,1,1] => 165
[8,7,3,1,4,5,6,2] => 1110001 => [3,3,1] => 95
[8,7,4,1,5,6,2,3] => 1110010 => [3,2,1,1] => 145
[8,6,4,1,7,5,2,3] => 1110110 => [3,1,2,1] => 137
[8,6,3,1,7,4,5,2] => 1110101 => [3,1,1,1,1] => 165
[8,5,3,1,6,7,4,2] => 1110011 => [3,2,2] => 105
[8,5,3,7,1,6,4,2] => 1101011 => [2,1,1,1,2] => 207
[7,6,3,8,1,4,2,5] => 1101010 => [2,1,1,1,1,1] => 297
[7,4,8,2,6,1,5,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,4,7,3,1,5,2,8] => 1011010 => [1,1,2,1,1,1] => 359
[8,5,3,1,6,4,2,7] => 1110110 => [3,1,2,1] => 137
[8,7,4,1,5,2,3,6] => 1110100 => [3,1,1,2] => 117
[8,7,5,1,2,6,3,4] => 1110010 => [3,2,1,1] => 145
[8,6,4,1,2,7,5,3] => 1110011 => [3,2,2] => 105
[8,7,4,1,2,5,3,6] => 1110010 => [3,2,1,1] => 145
[8,7,5,1,2,3,6,4] => 1110001 => [3,3,1] => 95
[6,5,3,7,4,2,1,8] => 1101110 => [2,1,3,1] => 157
[1,6,3,8,4,2,5,7] => 0101100 => [1,1,1,2,2] => 255
[4,7,2,5,3,6,1,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,8,3,4,5,2,6,7] => 0100100 => [1,1,2,1,2] => 252
[1,8,6,4,2,5,3,7] => 0111010 => [1,3,1,1,1] => 219
[8,2,6,4,1,5,7,3] => 1011001 => [1,1,2,2,1] => 295
[7,8,3,4,6,1,5,2] => 0100101 => [1,1,2,1,1,1] => 359
[4,8,7,5,3,1,6,2] => 0111101 => [1,4,1,1] => 107
[6,1,4,8,3,2,5,7] => 1001100 => [1,2,2,2] => 211
[4,1,8,5,3,2,6,7] => 1011100 => [1,1,3,2] => 171
[8,1,6,4,2,7,3,5] => 1011010 => [1,1,2,1,1,1] => 359
[3,1,7,4,2,5,8,6] => 1011001 => [1,1,2,2,1] => 295
[1,2,7,4,3,5,6,8] => 0011000 => [2,2,3] => 105
[6,1,8,5,2,4,3,7] => 1011010 => [1,1,2,1,1,1] => 359
[6,8,2,5,1,4,7,3] => 0101001 => [1,1,1,1,2,1] => 345
[4,5,2,1,6,8,7,3] => 0110011 => [1,2,2,2] => 211
[7,2,8,6,5,1,4,3] => 1011101 => [1,1,3,1,1] => 233
[7,4,8,6,1,5,3,2] => 1011011 => [1,1,2,1,2] => 252
[8,7,2,6,1,4,5,3] => 1101001 => [2,1,1,2,1] => 241
[1,7,8,6,2,4,3,5] => 0011010 => [2,2,1,1,1] => 255
[7,6,3,1,2,5,4,8] => 1110010 => [3,2,1,1] => 145
[8,5,3,1,2,4,7,6] => 1110001 => [3,3,1] => 95
[8,2,1,6,5,3,4,7] => 1101100 => [2,1,2,2] => 180
[3,8,1,5,6,2,4,7] => 0100100 => [1,1,2,1,2] => 252
[6,8,4,1,5,2,3,7] => 0110100 => [1,2,1,1,2] => 241
[3,2,8,1,6,4,5,7] => 1010100 => [1,1,1,1,1,2] => 297
[5,2,1,3,7,6,4,8] => 1100110 => [2,2,2,1] => 211
[5,4,1,2,8,3,7,6] => 1100101 => [2,2,1,1,1] => 255
[5,8,4,1,2,3,7,6] => 0110001 => [1,2,3,1] => 185
[7,1,2,5,3,4,6,8] => 1001000 => [1,2,1,3] => 137
[1,6,7,3,2,8,4,5] => 0011010 => [2,2,1,1,1] => 255
[1,8,6,3,2,7,4,5] => 0111010 => [1,3,1,1,1] => 219
[1,5,3,7,2,8,4,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,4,6,2,8,5,3,7] => 0010110 => [2,1,1,2,1] => 241
[1,5,6,2,8,4,3,7] => 0010110 => [2,1,1,2,1] => 241
[2,4,6,3,1,7,5,8] => 0011010 => [2,2,1,1,1] => 255
[3,4,8,6,5,7,2,1] => 0011011 => [2,2,1,2] => 180
[1,2,5,7,4,3,6,8] => 0001100 => [3,2,2] => 105
[1,2,5,7,4,6,8,3] => 0001001 => [3,1,2,1] => 137
[3,5,8,6,1,7,2,4] => 0011010 => [2,2,1,1,1] => 255
[2,3,6,8,1,7,4,5] => 0001010 => [3,1,1,1,1] => 165
[2,3,7,1,8,6,4,5] => 0010110 => [2,1,1,2,1] => 241
[2,6,1,7,8,5,3,4] => 0100110 => [1,1,2,2,1] => 295
[2,4,8,5,6,7,1,3] => 0010010 => [2,1,2,1,1] => 252
[1,4,8,5,6,7,3,2] => 0010011 => [2,1,2,2] => 180
[4,8,3,1,6,5,7,2] => 0110101 => [1,2,1,1,1,1] => 345
[1,6,8,5,4,2,7,3] => 0011101 => [2,3,1,1] => 171
[6,5,8,4,2,1,7,3] => 1011101 => [1,1,3,1,1] => 233
[1,7,8,6,5,4,2,3] => 0011110 => [2,4,1] => 81
[6,8,7,4,5,1,3,2] => 0110101 => [1,2,1,1,1,1] => 345
[6,1,3,5,4,2,8,7] => 1001101 => [1,2,2,1,1] => 295
[3,6,4,2,5,1,8,7] => 0110101 => [1,2,1,1,1,1] => 345
[2,1,5,8,6,4,7,3] => 1001101 => [1,2,2,1,1] => 295
[4,2,8,5,6,3,7,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,7,2,3,4,6,8,1] => 0100001 => [1,1,4,1] => 107
[1,8,7,3,2,5,6,4] => 0111001 => [1,3,2,1] => 185
[5,7,1,2,3,8,6,4] => 0100011 => [1,1,3,2] => 171
[7,8,6,2,4,1,5,3] => 0110101 => [1,2,1,1,1,1] => 345
[7,2,8,4,6,1,5,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,4,6,2,8,1,5,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,1,5,8,2,3,6,4] => 1001001 => [1,2,1,2,1] => 281
[7,6,4,8,2,1,5,3] => 1101101 => [2,1,2,1,1] => 252
[6,1,8,4,2,3,5,7] => 1011000 => [1,1,2,3] => 145
[7,3,6,2,1,8,5,4] => 1011011 => [1,1,2,1,2] => 252
[1,8,6,4,2,5,7,3] => 0111001 => [1,3,2,1] => 185
[5,6,2,1,8,4,7,3] => 0110101 => [1,2,1,1,1,1] => 345
[5,1,6,4,3,8,7,2] => 1011011 => [1,1,2,1,2] => 252
[5,4,6,8,1,3,7,2] => 1001001 => [1,2,1,2,1] => 281
[3,7,1,6,4,5,8,2] => 0101001 => [1,1,1,1,2,1] => 345
[3,5,2,1,4,6,7,8] => 0110000 => [1,2,4] => 65
[1,3,8,7,5,4,6,2] => 0011101 => [2,3,1,1] => 171
[9,3,4,2,5,6,7,8,1] => 10100001 => [1,1,1,4,1] => 410
[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
[1,2,3,4,5,6,8,10,9,7] => 000000011 => [7,2] => 36
[1,2,3,4,5,7,8,10,9,6] => 000000011 => [7,2] => 36
[1,2,3,4,5,7,9,10,8,6] => 000000011 => [7,2] => 36
[1,2,3,4,5,7,10,9,8,6] => 000000111 => [6,3] => 84
[1,2,3,4,6,7,8,10,9,5] => 000000011 => [7,2] => 36
[1,2,3,4,6,7,9,10,8,5] => 000000011 => [7,2] => 36
[1,2,3,4,6,7,10,9,8,5] => 000000111 => [6,3] => 84
[1,2,3,4,6,8,10,9,7,5] => 000000111 => [6,3] => 84
[1,2,3,4,6,10,9,8,7,5] => 000001111 => [5,4] => 126
[1,2,3,5,6,7,9,10,8,4] => 000000011 => [7,2] => 36
[1,2,3,5,6,7,10,9,8,4] => 000000111 => [6,3] => 84
[1,2,3,5,6,8,9,10,7,4] => 000000011 => [7,2] => 36
[1,2,3,5,6,8,10,9,7,4] => 000000111 => [6,3] => 84
[1,2,3,5,6,10,9,8,7,4] => 000001111 => [5,4] => 126
[1,2,3,5,7,9,10,8,6,4] => 000000111 => [6,3] => 84
[1,2,3,5,7,10,9,8,6,4] => 000001111 => [5,4] => 126
[1,2,3,5,10,9,8,7,6,4] => 000011111 => [4,5] => 126
[1,2,4,5,7,8,10,9,6,3] => 000000111 => [6,3] => 84
[1,2,4,5,7,9,10,8,6,3] => 000000111 => [6,3] => 84
[1,2,4,5,7,10,9,8,6,3] => 000001111 => [5,4] => 126
[1,2,4,5,10,9,8,7,6,3] => 000011111 => [4,5] => 126
[1,2,4,6,10,9,8,7,5,3] => 000011111 => [4,5] => 126
[1,2,4,10,9,8,7,6,5,3] => 000111111 => [3,6] => 84
[1,3,5,7,9,10,8,6,4,2] => 000001111 => [5,4] => 126
[1,3,5,7,10,9,8,6,4,2] => 000011111 => [4,5] => 126
[1,3,5,10,9,8,7,6,4,2] => 000111111 => [3,6] => 84
[1,3,10,9,8,7,6,5,4,2] => 001111111 => [2,7] => 36
[6,7,3,4,8,5,1,2] => 0100110 => [1,1,2,2,1] => 295
[7,4,1,8,2,5,6,3] => 1101001 => [2,1,1,2,1] => 241
[3,1,7,2,5,6,8,4] => 1010001 => [1,1,1,3,1] => 219
[4,1,5,7,3,2,8,6] => 1001101 => [1,2,2,1,1] => 295
[6,4,1,7,2,8,5,3] => 1101011 => [2,1,1,1,2] => 207
[7,3,1,6,2,8,5,4] => 1101011 => [2,1,1,1,2] => 207
[4,8,2,5,3,1,6,7] => 0101100 => [1,1,1,2,2] => 255
[5,1,3,4,8,2,6,7] => 1000100 => [1,3,1,2] => 157
[6,1,4,5,7,8,2,3] => 1000010 => [1,4,1,1] => 107
[6,3,4,7,1,8,5,2] => 1001011 => [1,2,1,1,2] => 241
[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] => 157
[1,8,3,5,6,2,7,4] => 0100101 => [1,1,2,1,1,1] => 359
[8,3,2,5,6,1,7,4] => 1100101 => [2,2,1,1,1] => 255
[4,2,5,1,6,8,7,3] => 1010011 => [1,1,1,2,2] => 255
[5,4,2,7,8,6,1,3] => 1100110 => [2,2,2,1] => 211
[6,8,7,2,1,3,4,5] => 0111000 => [1,3,3] => 95
[3,7,6,8,5,2,4,1] => 0101101 => [1,1,1,2,1,1] => 359
[1,7,8,5,2,6,3,4] => 0011010 => [2,2,1,1,1] => 255
[7,6,1,2,5,3,8,4] => 1100101 => [2,2,1,1,1] => 255
[5,8,7,2,6,3,4,1] => 0110101 => [1,2,1,1,1,1] => 345
[7,6,2,4,8,1,5,3] => 1100101 => [2,2,1,1,1] => 255
[1,5,7,3,8,6,2,4] => 0010110 => [2,1,1,2,1] => 241
[6,7,5,1,8,2,3,4] => 0110100 => [1,2,1,1,2] => 241
[7,6,1,2,4,3,8,5] => 1100101 => [2,2,1,1,1] => 255
[6,7,2,1,5,3,8,4] => 0110101 => [1,2,1,1,1,1] => 345
[4,3,2,8,7,1,6,5] => 1101101 => [2,1,2,1,1] => 252
[4,8,3,1,7,6,5,2] => 0110111 => [1,2,1,3] => 137
[5,3,8,7,1,6,4,2] => 1011011 => [1,1,2,1,2] => 252
[5,8,7,3,1,6,4,2] => 0111011 => [1,3,1,2] => 157
[5,3,8,2,1,7,6,4] => 1011011 => [1,1,2,1,2] => 252
[3,8,7,2,6,5,1,4] => 0110110 => [1,2,1,2,1] => 281
[7,4,1,8,6,5,3,2] => 1101111 => [2,1,4] => 55
[5,4,2,8,1,7,6,3] => 1101011 => [2,1,1,1,2] => 207
[5,8,4,2,1,7,6,3] => 0111011 => [1,3,1,2] => 157
[5,8,4,7,1,6,3,2] => 0101011 => [1,1,1,1,1,2] => 297
[5,4,8,3,1,7,6,2] => 1011011 => [1,1,2,1,2] => 252
[8,5,6,1,4,7,2,3] => 1010010 => [1,1,1,2,1,1] => 359
[6,7,4,1,2,5,8,3] => 0110001 => [1,2,3,1] => 185
[1,6,7,4,2,5,8,3] => 0011001 => [2,2,2,1] => 211
[3,6,7,5,8,1,2,4] => 0010100 => [2,1,1,1,2] => 207
[1,6,7,5,8,3,2,4] => 0010110 => [2,1,1,2,1] => 241
[3,8,6,5,7,4,1,2] => 0110110 => [1,2,1,2,1] => 281
[8,1,6,5,7,4,3,2] => 1010111 => [1,1,1,1,3] => 165
[5,2,1,6,8,4,7,3] => 1100101 => [2,2,1,1,1] => 255
[6,5,8,7,4,2,3,1] => 1011101 => [1,1,3,1,1] => 233
[6,8,5,7,4,2,1,3] => 0101110 => [1,1,1,3,1] => 219
[3,6,7,5,8,2,1,4] => 0010110 => [2,1,1,2,1] => 241
[4,7,5,3,8,1,2,6] => 0110100 => [1,2,1,1,2] => 241
[4,7,5,3,6,1,2,8] => 0110100 => [1,2,1,1,2] => 241
[4,7,5,3,1,6,2,8] => 0111010 => [1,3,1,1,1] => 219
[2,7,5,3,6,4,8,1] => 0110101 => [1,2,1,1,1,1] => 345
[2,7,5,6,3,8,4,1] => 0101011 => [1,1,1,1,1,2] => 297
[2,7,5,3,6,8,1,4] => 0110010 => [1,2,2,1,1] => 295
[8,7,5,3,1,4,6,2] => 1111001 => [4,2,1] => 65
[2,7,5,3,1,4,8,6] => 0111001 => [1,3,2,1] => 185
[2,7,5,3,4,8,6,1] => 0110011 => [1,2,2,2] => 211
[5,7,6,2,8,3,1,4] => 0110110 => [1,2,1,2,1] => 281
[5,1,6,3,2,4,8,7] => 1011001 => [1,1,2,2,1] => 295
[5,7,6,1,8,3,2,4] => 0110110 => [1,2,1,2,1] => 281
[3,8,7,2,1,5,4,6] => 0111010 => [1,3,1,1,1] => 219
[6,1,7,2,8,4,3,5] => 1010110 => [1,1,1,1,2,1] => 345
[4,8,5,6,7,3,1,2] => 0100110 => [1,1,2,2,1] => 295
[3,7,6,2,8,5,1,4] => 0110110 => [1,2,1,2,1] => 281
[6,1,7,3,8,5,2,4] => 1010110 => [1,1,1,1,2,1] => 345
[7,1,8,3,2,5,4,6] => 1011010 => [1,1,2,1,1,1] => 359
[2,7,8,3,1,5,4,6] => 0011010 => [2,2,1,1,1] => 255
[4,8,5,6,7,2,1,3] => 0100110 => [1,1,2,2,1] => 295
[5,8,6,2,7,4,1,3] => 0110110 => [1,2,1,2,1] => 281
[2,4,6,7,8,5,1,3] => 0000110 => [4,2,1] => 65
[2,4,6,7,8,3,1,5] => 0000110 => [4,2,1] => 65
[4,7,6,2,8,5,1,3] => 0110110 => [1,2,1,2,1] => 281
[5,8,7,3,2,4,1,6] => 0111010 => [1,3,1,1,1] => 219
[4,6,5,8,7,3,1,2] => 0101110 => [1,1,1,3,1] => 219
[8,3,1,7,2,6,4,5] => 1101010 => [2,1,1,1,1,1] => 297
[4,5,1,2,8,7,3,6] => 0100110 => [1,1,2,2,1] => 295
[5,6,1,2,8,3,7,4] => 0100101 => [1,1,2,1,1,1] => 359
[5,8,7,1,6,2,4,3] => 0110101 => [1,2,1,1,1,1] => 345
[8,4,5,1,7,6,2,3] => 1010110 => [1,1,1,1,2,1] => 345
[6,3,1,4,8,2,7,5] => 1100101 => [2,2,1,1,1] => 255
[8,5,6,1,7,2,4,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,5,6,1,3,8,4,2] => 1010011 => [1,1,1,2,2] => 255
[5,7,6,1,3,8,4,2] => 0110011 => [1,2,2,2] => 211
[6,7,1,4,2,8,5,3] => 0101011 => [1,1,1,1,1,2] => 297
[2,1,6,4,8,3,7,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[1,5,7,8,4,2,3,6] => 0001100 => [3,2,2] => 105
[1,3,6,4,2,5,7,8] => 0011000 => [2,2,3] => 105
[1,4,5,7,8,3,6,2] => 0000101 => [4,1,1,1] => 75
[1,5,7,8,3,6,2,4] => 0001010 => [3,1,1,1,1] => 165
[1,5,7,8,2,4,3,6] => 0001010 => [3,1,1,1,1] => 165
[6,8,4,7,3,2,1,5] => 0101110 => [1,1,1,3,1] => 219
[6,8,5,4,2,7,1,3] => 0111010 => [1,3,1,1,1] => 219
[1,8,4,6,3,2,7,5] => 0101101 => [1,1,1,2,1,1] => 359
[6,4,8,5,3,2,1,7] => 1011110 => [1,1,4,1] => 107
[3,5,6,1,4,2,7,8] => 0010100 => [2,1,1,1,2] => 207
[1,6,3,8,4,2,7,5] => 0101101 => [1,1,1,2,1,1] => 359
[7,1,3,2,4,6,8,5] => 1010001 => [1,1,1,3,1] => 219
[2,6,5,7,8,3,1,4] => 0100110 => [1,1,2,2,1] => 295
[4,1,8,2,6,7,5,3] => 1010011 => [1,1,1,2,2] => 255
[3,6,7,8,2,1,4,5] => 0001100 => [3,2,2] => 105
[2,5,7,1,6,3,4,8] => 0010100 => [2,1,1,1,2] => 207
[4,2,8,3,6,5,1,7] => 1010110 => [1,1,1,1,2,1] => 345
[6,3,8,7,2,4,5,1] => 1011001 => [1,1,2,2,1] => 295
[7,6,1,8,2,4,5,3] => 1101001 => [2,1,1,2,1] => 241
[2,5,6,3,4,8,1,7] => 0010010 => [2,1,2,1,1] => 252
[5,2,4,7,8,6,1,3] => 1000110 => [1,3,2,1] => 185
[7,2,1,3,4,8,5,6] => 1100010 => [2,3,1,1] => 171
[2,4,5,7,1,8,6,3] => 0001011 => [3,1,1,2] => 117
[8,1,6,2,3,4,7,5] => 1010001 => [1,1,1,3,1] => 219
[6,1,4,2,5,7,8,3] => 1010001 => [1,1,1,3,1] => 219
[6,5,1,2,3,7,8,9,4] => 11000001 => [2,5,1] => 133
[1,6,7,2,4,3,5,8] => 0010100 => [2,1,1,1,2] => 207
[1,8,3,4,5,2,7,6] => 0100101 => [1,1,2,1,1,1] => 359
[1,8,3,6,4,7,2,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,4,7,2,5,6,3,8] => 0010010 => [2,1,2,1,1] => 252
[7,3,5,8,2,6,1,4] => 1001010 => [1,2,1,1,1,1] => 345
[3,4,8,6,7,2,1,5] => 0010110 => [2,1,1,2,1] => 241
[3,4,8,2,5,1,7,6] => 0010101 => [2,1,1,1,1,1] => 297
[1,7,2,5,8,4,3,6] => 0100110 => [1,1,2,2,1] => 295
[1,4,6,7,8,3,5,2] => 0000101 => [4,1,1,1] => 75
[4,1,5,3,6,8,7,2] => 1010011 => [1,1,1,2,2] => 255
[5,8,7,4,6,2,3,1] => 0110101 => [1,2,1,1,1,1] => 345
[6,8,7,1,5,3,4,2] => 0110101 => [1,2,1,1,1,1] => 345
[2,7,8,4,6,5,1,3] => 0010110 => [2,1,1,2,1] => 241
[3,7,8,5,4,6,2,1] => 0011011 => [2,2,1,2] => 180
[4,8,7,5,2,6,3,1] => 0111011 => [1,3,1,2] => 157
[2,8,7,4,6,1,5,3] => 0110101 => [1,2,1,1,1,1] => 345
[4,8,7,2,5,6,3,1] => 0110011 => [1,2,2,2] => 211
[4,7,8,5,3,6,2,1] => 0011011 => [2,2,1,2] => 180
[6,4,8,1,5,7,3,2] => 1010011 => [1,1,1,2,2] => 255
[1,6,8,3,5,2,7,4] => 0010101 => [2,1,1,1,1,1] => 297
[4,5,8,6,3,7,2,1] => 0011011 => [2,2,1,2] => 180
[2,6,7,8,4,5,1,3] => 0001010 => [3,1,1,1,1] => 165
[6,1,2,8,4,7,5,3] => 1001011 => [1,2,1,1,2] => 241
[4,7,1,8,5,6,3,2] => 0101011 => [1,1,1,1,1,2] => 297
[5,7,1,8,2,6,4,3] => 0101011 => [1,1,1,1,1,2] => 297
[7,2,1,8,6,4,5,3] => 1101101 => [2,1,2,1,1] => 252
[5,3,8,4,7,6,2,1] => 1010111 => [1,1,1,1,3] => 165
[2,5,8,1,7,4,6,3] => 0010101 => [2,1,1,1,1,1] => 297
[4,5,8,3,7,6,2,1] => 0010111 => [2,1,1,3] => 117
[1,7,2,8,6,4,5,3] => 0101101 => [1,1,1,2,1,1] => 359
[3,5,7,8,1,6,2,4] => 0001010 => [3,1,1,1,1] => 165
[2,4,7,8,5,6,1,3] => 0001010 => [3,1,1,1,1] => 165
[4,1,7,8,5,6,3,2] => 1001011 => [1,2,1,1,2] => 241
[3,5,8,6,4,7,2,1] => 0011011 => [2,2,1,2] => 180
[2,4,8,5,7,6,1,3] => 0010110 => [2,1,1,2,1] => 241
[2,6,3,8,5,1,7,4] => 0101101 => [1,1,1,2,1,1] => 359
[4,1,5,8,6,7,3,2] => 1001011 => [1,2,1,1,2] => 241
[5,3,4,7,6,1,2,8] => 1001100 => [1,2,2,2] => 211
[6,2,1,4,8,3,7,5] => 1100101 => [2,2,1,1,1] => 255
[2,8,5,4,1,3,7,6] => 0111001 => [1,3,2,1] => 185
[4,2,8,7,1,3,5,6] => 1011000 => [1,1,2,3] => 145
[5,4,6,3,1,7,2,8] => 1011010 => [1,1,2,1,1,1] => 359
[4,3,6,5,1,8,2,7] => 1011010 => [1,1,2,1,1,1] => 359
[1,5,6,8,7,3,2,4] => 0001110 => [3,3,1] => 95
[1,4,8,3,6,5,2,7] => 0010110 => [2,1,1,2,1] => 241
[1,3,8,6,4,7,2,5] => 0011010 => [2,2,1,1,1] => 255
[1,2,8,6,4,3,7,5] => 0011101 => [2,3,1,1] => 171
[6,5,1,8,7,3,2,4] => 1101110 => [2,1,3,1] => 157
[4,1,7,6,8,3,2,5] => 1010110 => [1,1,1,1,2,1] => 345
[1,8,4,7,6,2,3,5] => 0101100 => [1,1,1,2,2] => 255
[8,3,2,6,1,7,4,5] => 1101010 => [2,1,1,1,1,1] => 297
[1,6,3,7,4,5,2,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,6,3,7,4,8,5,1] => 0101011 => [1,1,1,1,1,2] => 297
[4,6,1,7,8,2,5,3] => 0100101 => [1,1,2,1,1,1] => 359
[7,2,3,8,4,5,6,1] => 1001001 => [1,2,1,2,1] => 281
[5,2,6,7,8,3,4,1] => 1000101 => [1,3,1,1,1] => 219
[6,5,8,1,2,7,4,3] => 1010011 => [1,1,1,2,2] => 255
[6,5,1,8,7,2,4,3] => 1101101 => [2,1,2,1,1] => 252
[5,8,4,3,7,2,1,6] => 0110110 => [1,2,1,2,1] => 281
[6,1,2,8,7,3,4,5] => 1001100 => [1,2,2,2] => 211
[7,3,2,8,4,6,1,5] => 1101010 => [2,1,1,1,1,1] => 297
[4,5,1,7,6,2,8,3] => 0101101 => [1,1,1,2,1,1] => 359
[1,5,2,7,6,3,4,8] => 0101100 => [1,1,1,2,2] => 255
[7,2,6,8,3,5,4,1] => 1001011 => [1,2,1,1,2] => 241
[4,8,1,7,6,2,5,3] => 0101101 => [1,1,1,2,1,1] => 359
[7,2,8,6,5,3,4,1] => 1011101 => [1,1,3,1,1] => 233
[4,1,8,7,6,5,2,3] => 1011110 => [1,1,4,1] => 107
[7,6,5,2,8,4,3,1] => 1110111 => [3,1,3] => 69
[6,5,1,8,7,4,3,2] => 1101111 => [2,1,4] => 55
[7,5,1,8,6,4,3,2] => 1101111 => [2,1,4] => 55
[8,5,1,7,6,4,3,2] => 1101111 => [2,1,4] => 55
[8,5,3,7,6,1,4,2] => 1101101 => [2,1,2,1,1] => 252
[3,8,7,6,1,5,4,2] => 0111011 => [1,3,1,2] => 157
[9,1,8,2,3,4,5,6,10,7] => 101000001 => [1,1,1,5,1] => 704
[9,7,1,2,3,4,5,6,10,8] => 110000001 => [2,6,1] => 204
[2,10,1,9,3,4,5,6,7,8] => 010100000 => [1,1,1,1,5] => 429
[2,10,8,1,3,4,5,6,7,9] => 011000000 => [1,2,6] => 140
[8,3,7,5,4,1,6,2] => 1011101 => [1,1,3,1,1] => 233
[4,5,3,1,8,7,2,6] => 0110110 => [1,2,1,2,1] => 281
[3,4,8,1,5,2,6,7] => 0010100 => [2,1,1,1,2] => 207
[8,6,5,7,1,3,2,4] => 1101010 => [2,1,1,1,1,1] => 297
[1,5,8,6,2,7,4,3] => 0011011 => [2,2,1,2] => 180
[3,1,8,5,7,2,6,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,8,5,3,4,2,1,7] => 0110110 => [1,2,1,2,1] => 281
[8,5,2,6,4,3,1,7] => 1101110 => [2,1,3,1] => 157
[8,6,4,5,2,1,7,3] => 1101101 => [2,1,2,1,1] => 252
[8,5,2,6,1,4,7,3] => 1101001 => [2,1,1,2,1] => 241
[2,7,5,8,1,4,6,3] => 0101001 => [1,1,1,1,2,1] => 345
[3,2,6,7,1,8,5,4] => 1001011 => [1,2,1,1,2] => 241
[3,4,6,7,8,2,1,5] => 0000110 => [4,2,1] => 65
[3,2,6,7,8,4,1,5] => 1000110 => [1,3,2,1] => 185
[6,2,7,4,8,5,1,3] => 1010110 => [1,1,1,1,2,1] => 345
[6,7,1,3,8,5,4,2] => 0100111 => [1,1,2,3] => 145
[6,7,1,8,5,2,4,3] => 0101101 => [1,1,1,2,1,1] => 359
[1,2,6,7,8,5,3,4] => 0000110 => [4,2,1] => 65
[1,6,7,4,8,3,2,5] => 0010110 => [2,1,1,2,1] => 241
[1,4,6,7,8,3,2,5] => 0000110 => [4,2,1] => 65
[6,1,2,4,5,3,7,8] => 1000100 => [1,3,1,2] => 157
[8,1,7,3,2,6,4,5] => 1011010 => [1,1,2,1,1,1] => 359
[4,1,3,2,5,6,7,8,9] => 10100000 => [1,1,1,5] => 110
[6,1,2,4,5,3,7,8,9] => 10001000 => [1,3,1,3] => 332
[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] => 170
[4,1,6,3,5,2,7,8,9] => 10101000 => [1,1,1,1,1,3] => 572
[8,1,7,3,2,6,4,5,9] => 10110100 => [1,1,2,1,1,2] => 861
[5,7,1,6,2,4,3,8,9] => 01010100 => [1,1,1,1,1,1,2] => 1001
[7,3,4,6,1,2,5,8,9] => 10010000 => [1,2,1,4] => 235
[6,1,2,9,4,5,7,8,3] => 10010001 => [1,2,1,3,1] => 646
[4,1,6,3,8,5,7,2,9] => 10101010 => [1,1,1,1,1,1,1,1] => 1430
[6,8,5,1,7,2,3,4,9] => 01101000 => [1,2,1,1,3] => 476
[8,3,4,5,7,1,2,6,9] => 10001000 => [1,3,1,3] => 332
[5,7,1,9,2,8,4,6,3] => 01010101 => [1,1,1,1,1,1,1,1] => 1430
[7,9,4,6,1,8,2,3,5] => 01010100 => [1,1,1,1,1,1,2] => 1001
[4,1,3,2,5,6,7,8,9,10] => 101000000 => [1,1,1,6] => 154
[6,1,2,4,5,3,7,8,9,10] => 100010000 => [1,3,1,4] => 626
[5,4,1,2,3,6,7,8,9,10] => 110000000 => [2,7] => 36
[8,1,2,3,5,6,7,4,9,10] => 100000100 => [1,5,1,2] => 534
[4,1,6,3,5,2,7,8,9,10] => 101010000 => [1,1,1,1,1,4] => 1001
[8,1,7,3,2,6,4,5,9,10] => 101101000 => [1,1,2,1,1,3] => 1762
[5,7,1,6,2,4,3,8,9,10] => 010101000 => [1,1,1,1,1,1,3] => 2002
[7,3,4,6,1,2,5,8,9,10] => 100100000 => [1,2,1,5] => 375
[6,1,2,9,4,5,7,8,3,10] => 100100010 => [1,2,1,3,1,1] => 2548
[4,1,6,3,8,5,7,2,9,10] => 101010100 => [1,1,1,1,1,1,1,2] => 3432
[6,8,5,1,7,2,3,4,9,10] => 011010000 => [1,2,1,1,4] => 851
[8,3,4,5,7,1,2,6,9,10] => 100010000 => [1,3,1,4] => 626
[10,1,6,3,9,5,2,8,4,7] => 101011010 => [1,1,1,1,2,1,1,1] => 4274
[5,7,1,9,2,8,4,6,3,10] => 010101010 => [1,1,1,1,1,1,1,1,1] => 4862
[7,9,4,6,1,8,2,3,5,10] => 010101000 => [1,1,1,1,1,1,3] => 2002
[9,3,4,5,6,8,1,2,7,10] => 100001000 => [1,4,1,3] => 709
[4,1,6,3,8,5,10,7,9,2] => 101010101 => [1,1,1,1,1,1,1,1,1] => 4862
[6,8,10,1,7,2,9,3,5,4] => 001010101 => [2,1,1,1,1,1,1,1] => 3432
[8,10,4,5,7,1,9,2,3,6] => 010010100 => [1,1,2,1,1,1,2] => 2982
[10,3,4,5,6,7,9,1,2,8] => 100000100 => [1,5,1,2] => 534
[8,7,2,1,5,4,6,3] => 1110101 => [3,1,1,1,1] => 165
[2,7,4,8,6,5,3,1] => 0101111 => [1,1,1,4] => 75
[7,6,5,2,4,1,8,3] => 1110101 => [3,1,1,1,1] => 165
[7,6,4,3,1,5,8,2] => 1111001 => [4,2,1] => 65
[6,1,8,7,2,3,5,4] => 1011001 => [1,1,2,2,1] => 295
[8,6,1,2,7,3,4,5] => 1100100 => [2,2,1,2] => 180
[3,6,8,2,7,1,5,4] => 0010101 => [2,1,1,1,1,1] => 297
[2,8,6,1,4,5,7,3] => 0110001 => [1,2,3,1] => 185
[6,8,7,2,5,4,1,3] => 0110110 => [1,2,1,2,1] => 281
[3,5,7,9,1,2,4,6,8,10] => 000100000 => [3,1,5] => 209
[4,1,2,3,5,6,7,8,9,10] => 100000000 => [1,8] => 9
[5,1,2,3,4,6,7,8,9,10] => 100000000 => [1,8] => 9
[8,1,2,3,4,5,6,7,9,10] => 100000000 => [1,8] => 9
[7,1,2,3,4,5,6,8,9,10] => 100000000 => [1,8] => 9
[6,1,2,3,4,5,7,8,9,10] => 100000000 => [1,8] => 9
[3,2,6,4,8,7,5,1] => 1010111 => [1,1,1,1,3] => 165
[4,7,2,8,6,5,1,3] => 0101110 => [1,1,1,3,1] => 219
[4,7,1,8,6,5,3,2] => 0101111 => [1,1,1,4] => 75
[2,7,4,8,3,6,1,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,7,3,8,6,1,5,2] => 0101101 => [1,1,1,2,1,1] => 359
[4,3,6,8,7,2,5,1] => 1001101 => [1,2,2,1,1] => 295
[4,3,8,2,5,7,6,1] => 1010011 => [1,1,1,2,2] => 255
[4,1,2,6,8,7,5,3] => 1000111 => [1,3,3] => 95
[3,1,6,4,8,7,2,5] => 1010110 => [1,1,1,1,2,1] => 345
[4,1,6,8,7,5,2,3] => 1001110 => [1,2,3,1] => 185
[3,8,1,4,5,7,2,6] => 0100010 => [1,1,3,1,1] => 233
[3,8,1,4,2,5,7,6] => 0101001 => [1,1,1,1,2,1] => 345
[4,1,8,3,5,2,7,6] => 1010101 => [1,1,1,1,1,1,1] => 429
[3,8,1,2,5,4,7,6] => 0100101 => [1,1,2,1,1,1] => 359
[4,2,3,6,8,7,1,5] => 1000110 => [1,3,2,1] => 185
[4,2,8,3,5,1,7,6] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,2,8,3,5,7,6,1] => 1010011 => [1,1,1,2,2] => 255
[3,8,2,4,5,7,6,1] => 0100011 => [1,1,3,2] => 171
[3,8,2,5,1,4,7,6] => 0101001 => [1,1,1,1,2,1] => 345
[4,2,8,5,7,1,3,6] => 1010100 => [1,1,1,1,1,2] => 297
[3,8,1,5,2,4,7,6] => 0101001 => [1,1,1,1,2,1] => 345
[7,5,6,4,1,3,2,8] => 1011010 => [1,1,2,1,1,1] => 359
[7,8,6,4,1,3,2,5] => 0111010 => [1,3,1,1,1] => 219
[7,1,4,2,5,6,3,8] => 1010010 => [1,1,1,2,1,1] => 359
[7,3,2,1,4,6,5,8] => 1110010 => [3,2,1,1] => 145
[7,6,1,4,3,2,5,8] => 1101100 => [2,1,2,2] => 180
[7,4,1,3,5,6,2,8] => 1100010 => [2,3,1,1] => 171
[2,7,1,3,5,6,8,4] => 0100001 => [1,1,4,1] => 107
[3,6,2,1,5,8,7,4] => 0110011 => [1,2,2,2] => 211
[2,3,6,1,5,8,7,4] => 0010011 => [2,1,2,2] => 180
[3,4,7,1,5,6,8,2] => 0010001 => [2,1,3,1] => 157
[3,6,7,4,1,2,8,5] => 0011001 => [2,2,2,1] => 211
[4,3,2,7,1,6,8,5] => 1101001 => [2,1,1,2,1] => 241
[7,3,2,8,1,6,4,5] => 1101010 => [2,1,1,1,1,1] => 297
[7,4,8,1,5,6,3,2] => 1010011 => [1,1,1,2,2] => 255
[2,6,8,1,5,3,7,4] => 0010101 => [2,1,1,1,1,1] => 297
[6,8,2,1,5,3,7,4] => 0110101 => [1,2,1,1,1,1] => 345
[4,8,2,5,3,6,7,1] => 0101001 => [1,1,1,1,2,1] => 345
[4,5,8,2,3,6,7,1] => 0010001 => [2,1,3,1] => 157
[2,4,8,5,3,6,7,1] => 0011001 => [2,2,2,1] => 211
[5,3,2,6,4,8,7,1] => 1101011 => [2,1,1,1,2] => 207
[2,4,5,3,8,6,7,1] => 0010101 => [2,1,1,1,1,1] => 297
[4,3,5,2,8,6,7,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,8,5,3,2,6,7,1] => 0111001 => [1,3,2,1] => 185
[3,5,4,2,8,6,7,1] => 0110101 => [1,2,1,1,1,1] => 345
[4,1,2,7,5,6,8,3] => 1001001 => [1,2,1,2,1] => 281
[5,6,7,4,2,8,3,1] => 0011011 => [2,2,1,2] => 180
[2,5,7,4,6,8,3,1] => 0010011 => [2,1,2,2] => 180
[7,5,2,4,3,8,6,1] => 1101011 => [2,1,1,1,2] => 207
[6,8,1,2,5,4,7,3] => 0100101 => [1,1,2,1,1,1] => 359
[6,4,1,8,5,2,7,3] => 1101101 => [2,1,2,1,1] => 252
[2,6,1,8,5,4,7,3] => 0101101 => [1,1,1,2,1,1] => 359
[7,1,2,8,5,6,4,3] => 1001011 => [1,2,1,1,2] => 241
[4,3,2,6,8,5,7,1] => 1100101 => [2,2,1,1,1] => 255
[3,7,6,4,8,5,2,1] => 0110111 => [1,2,1,3] => 137
[3,1,6,8,5,4,7,2] => 1001101 => [1,2,2,1,1] => 295
[2,3,5,8,4,6,7,1] => 0001001 => [3,1,2,1] => 137
[3,5,2,8,4,6,7,1] => 0101001 => [1,1,1,1,2,1] => 345
[3,4,5,8,2,6,7,1] => 0001001 => [3,1,2,1] => 137
[5,4,2,8,3,6,7,1] => 1101001 => [2,1,1,2,1] => 241
[5,3,4,8,2,6,7,1] => 1001001 => [1,2,1,2,1] => 281
[2,5,4,8,3,6,7,1] => 0101001 => [1,1,1,1,2,1] => 345
[6,3,2,5,8,4,7,1] => 1100101 => [2,2,1,1,1] => 255
[6,1,8,3,5,4,7,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,4,8,3,2,6,7,1] => 1011001 => [1,1,2,2,1] => 295
[5,8,2,3,4,6,7,1] => 0100001 => [1,1,4,1] => 107
[6,2,1,7,8,5,4,3] => 1100111 => [2,2,3] => 105
[7,4,6,8,3,2,5,1] => 1001101 => [1,2,2,1,1] => 295
[3,4,5,2,7,1,6,8] => 0010100 => [2,1,1,1,2] => 207
[7,5,6,1,2,3,8,4] => 1010001 => [1,1,1,3,1] => 219
[1,5,7,6,3,2,8,4] => 0011101 => [2,3,1,1] => 171
[8,4,6,7,3,2,5,1] => 1001101 => [1,2,2,1,1] => 295
[8,4,6,2,3,1,5,7] => 1010100 => [1,1,1,1,1,2] => 297
[7,5,2,1,4,3,8,6] => 1110101 => [3,1,1,1,1] => 165
[3,1,7,8,5,4,2,6] => 1001110 => [1,2,3,1] => 185
[3,4,5,2,1,8,6,7] => 0011010 => [2,2,1,1,1] => 255
[7,6,4,8,3,1,2,5] => 1101100 => [2,1,2,2] => 180
[7,4,8,5,6,1,2,3] => 1010100 => [1,1,1,1,1,2] => 297
[6,2,8,5,1,3,4,7] => 1011000 => [1,1,2,3] => 145
[3,2,7,8,6,1,4,5] => 1001100 => [1,2,2,2] => 211
[6,8,2,5,1,3,7,4] => 0101001 => [1,1,1,1,2,1] => 345
[6,7,4,2,1,5,3,8] => 0111010 => [1,3,1,1,1] => 219
[5,7,4,1,3,6,2,8] => 0110010 => [1,2,2,1,1] => 295
[4,2,7,5,1,8,3,6] => 1011010 => [1,1,2,1,1,1] => 359
[4,1,6,5,3,8,2,7] => 1011010 => [1,1,2,1,1,1] => 359
[1,5,4,6,3,8,2,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,8,6,4,7,3,2,5] => 0110110 => [1,2,1,2,1] => 281
[4,7,1,8,6,3,5,2] => 0101101 => [1,1,1,2,1,1] => 359
[5,4,8,1,7,3,6,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,3,8,6,2,1,7,5] => 1011101 => [1,1,3,1,1] => 233
[8,3,6,2,4,1,7,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,8,3,2,4,6,5,1] => 0110011 => [1,2,2,2] => 211
[7,2,8,5,3,1,6,4] => 1011101 => [1,1,3,1,1] => 233
[2,5,4,8,7,3,6,1] => 0101101 => [1,1,1,2,1,1] => 359
[6,4,2,8,7,3,1,5] => 1101110 => [2,1,3,1] => 157
[3,6,8,1,7,4,2,5] => 0010110 => [2,1,1,2,1] => 241
[7,8,6,3,1,4,5,2] => 0111001 => [1,3,2,1] => 185
[3,8,6,1,7,5,2,4] => 0110110 => [1,2,1,2,1] => 281
[2,7,5,4,8,3,1,6] => 0110110 => [1,2,1,2,1] => 281
[6,8,7,5,2,1,3,4] => 0111100 => [1,4,2] => 81
[7,6,2,8,5,1,3,4] => 1101100 => [2,1,2,2] => 180
[1,5,7,6,2,8,4,3] => 0011011 => [2,2,1,2] => 180
[1,6,5,2,7,8,4,3] => 0110011 => [1,2,2,2] => 211
[4,7,8,5,6,2,3,1] => 0010101 => [2,1,1,1,1,1] => 297
[4,7,8,1,2,5,6,3] => 0010001 => [2,1,3,1] => 157
[8,6,4,1,2,5,7,3] => 1110001 => [3,3,1] => 95
[6,1,4,7,2,5,8,3] => 1001001 => [1,2,1,2,1] => 281
[5,6,3,2,7,4,1,8] => 0110110 => [1,2,1,2,1] => 281
[2,6,4,3,7,5,8,1] => 0110101 => [1,2,1,1,1,1] => 345
[7,2,3,6,1,8,4,5] => 1001010 => [1,2,1,1,1,1] => 345
[3,4,6,5,7,1,2,8] => 0010100 => [2,1,1,1,2] => 207
[7,6,2,3,5,4,8,1] => 1100101 => [2,2,1,1,1] => 255
[8,5,2,4,3,6,1,7] => 1101010 => [2,1,1,1,1,1] => 297
[8,5,7,2,4,1,6,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[2,6,7,5,8,1,4,3] => 0010101 => [2,1,1,1,1,1] => 297
[7,4,8,2,1,5,6,3] => 1011001 => [1,1,2,2,1] => 295
[2,3,6,7,8,5,1,4] => 0000110 => [4,2,1] => 65
[8,3,7,1,6,4,2,5] => 1010110 => [1,1,1,1,2,1] => 345
[8,2,1,7,6,5,3,4] => 1101110 => [2,1,3,1] => 157
[6,5,1,2,8,3,4,7] => 1100100 => [2,2,1,2] => 180
[5,6,8,1,3,7,2,4] => 0010010 => [2,1,2,1,1] => 252
[1,6,8,5,3,2,4,7] => 0011100 => [2,3,2] => 126
[5,8,1,6,7,4,2,3] => 0100110 => [1,1,2,2,1] => 295
[7,2,8,4,6,1,3,5] => 1010100 => [1,1,1,1,1,2] => 297
[6,2,7,4,3,8,1,5] => 1011010 => [1,1,2,1,1,1] => 359
[1,7,8,4,6,2,3,5] => 0010100 => [2,1,1,1,2] => 207
[7,1,8,4,6,2,3,5] => 1010100 => [1,1,1,1,1,2] => 297
[8,1,6,5,4,7,2,3] => 1011010 => [1,1,2,1,1,1] => 359
[4,1,6,8,7,3,2,5] => 1001110 => [1,2,3,1] => 185
[5,1,4,6,7,3,8,2] => 1000101 => [1,3,1,1,1] => 219
[7,1,3,4,6,2,8,5] => 1000101 => [1,3,1,1,1] => 219
[3,4,1,6,2,5,8,7,9] => 01010010 => [1,1,1,1,2,1,1] => 1220
[3,4,1,2,6,5,8,7,9] => 01001010 => [1,1,2,1,1,1,1] => 1220
[3,4,1,6,2,5,8,7,10,9] => 010100101 => [1,1,1,1,2,1,1,1] => 4274
[3,5,1,6,2,4,8,7,9] => 01010010 => [1,1,1,1,2,1,1] => 1220
[2,5,1,6,3,4,8,7,9] => 01010010 => [1,1,1,1,2,1,1] => 1220
[3,5,1,2,6,4,8,7,9] => 01001010 => [1,1,2,1,1,1,1] => 1220
[2,5,1,3,6,4,8,7,9] => 01001010 => [1,1,2,1,1,1,1] => 1220
[8,7,1,4,6,3,2,5] => 1100110 => [2,2,2,1] => 211
[6,5,2,8,4,7,1,3] => 1101010 => [2,1,1,1,1,1] => 297
[1,4,7,5,8,6,3,2] => 0010111 => [2,1,1,3] => 117
[6,1,8,3,4,7,2,5] => 1010010 => [1,1,1,2,1,1] => 359
[1,8,6,3,5,2,7,4] => 0110101 => [1,2,1,1,1,1] => 345
[7,8,1,3,5,4,2,6] => 0100110 => [1,1,2,2,1] => 295
[4,7,1,6,8,3,5,2] => 0100101 => [1,1,2,1,1,1] => 359
[3,6,5,2,8,4,1,7] => 0110110 => [1,2,1,2,1] => 281
[8,2,5,6,3,1,7,4] => 1001101 => [1,2,2,1,1] => 295
[7,1,8,4,2,5,3,6] => 1011010 => [1,1,2,1,1,1] => 359
[1,4,8,7,5,2,6,3] => 0011101 => [2,3,1,1] => 171
[1,5,6,4,2,3,7,8] => 0011000 => [2,2,3] => 105
[5,8,7,4,2,1,3,6] => 0111100 => [1,4,2] => 81
[3,1,5,2,7,8,6,4] => 1010011 => [1,1,1,2,2] => 255
[1,8,7,3,2,5,4,6] => 0111010 => [1,3,1,1,1] => 219
[1,2,5,4,8,7,3,6] => 0010110 => [2,1,1,2,1] => 241
[1,2,4,8,6,3,5,7] => 0001100 => [3,2,2] => 105
[1,5,2,4,7,3,8,6] => 0100101 => [1,1,2,1,1,1] => 359
[8,6,3,5,7,4,1,2] => 1100110 => [2,2,2,1] => 211
[8,5,3,2,1,4,7,6] => 1111001 => [4,2,1] => 65
[1,2,7,6,8,4,3,5] => 0010110 => [2,1,1,2,1] => 241
[1,6,3,2,5,7,8,4] => 0110001 => [1,2,3,1] => 185
[1,7,3,4,2,6,8,5] => 0101001 => [1,1,1,1,2,1] => 345
[1,6,3,5,8,4,2,7] => 0100110 => [1,1,2,2,1] => 295
[1,5,6,3,2,8,4,7] => 0011010 => [2,2,1,1,1] => 255
[1,2,5,8,4,6,3,7] => 0001010 => [3,1,1,1,1] => 165
[1,5,3,2,7,8,4,6] => 0110010 => [1,2,2,1,1] => 295
[4,1,8,6,2,3,7,5] => 1011001 => [1,1,2,2,1] => 295
[7,5,8,6,2,3,4,1] => 1011001 => [1,1,2,2,1] => 295
[1,7,6,4,3,8,5,2] => 0111011 => [1,3,1,2] => 157
[1,8,5,7,6,3,2,4] => 0101110 => [1,1,1,3,1] => 219
[1,4,7,3,6,8,5,2] => 0010011 => [2,1,2,2] => 180
[1,6,3,5,7,8,4,2] => 0100011 => [1,1,3,2] => 171
[1,5,6,3,2,7,8,4] => 0011001 => [2,2,2,1] => 211
[1,2,7,6,8,4,5,3] => 0010101 => [2,1,1,1,1,1] => 297
[1,8,4,7,5,3,2,6] => 0101110 => [1,1,1,3,1] => 219
[6,8,5,2,1,7,4,3] => 0111011 => [1,3,1,2] => 157
[1,2,6,8,4,3,7,5] => 0001101 => [3,2,1,1] => 145
[5,3,7,2,6,4,1,8] => 1010110 => [1,1,1,1,2,1] => 345
[5,3,8,2,6,1,7,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,6,2,5,3,4,1,8] => 1101010 => [2,1,1,1,1,1] => 297
[7,6,2,4,5,3,1,8] => 1100110 => [2,2,2,1] => 211
[7,6,2,4,3,5,1,8] => 1101010 => [2,1,1,1,1,1] => 297
[7,6,2,3,5,4,1,8] => 1100110 => [2,2,2,1] => 211
[8,4,2,7,1,6,3,5] => 1101010 => [2,1,1,1,1,1] => 297
[8,7,6,1,5,3,2,4] => 1110110 => [3,1,2,1] => 137
[8,7,6,1,4,3,5,2] => 1110101 => [3,1,1,1,1] => 165
[8,7,6,1,3,5,4,2] => 1110011 => [3,2,2] => 105
[8,7,6,1,5,4,2,3] => 1110110 => [3,1,2,1] => 137
[8,6,2,7,1,5,3,4] => 1101010 => [2,1,1,1,1,1] => 297
[5,3,7,2,8,1,6,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,3,5,4,2,1,6,7] => 1011100 => [1,1,3,2] => 171
[7,8,4,3,1,5,2,6] => 0111010 => [1,3,1,1,1] => 219
[8,6,3,7,1,5,2,4] => 1101010 => [2,1,1,1,1,1] => 297
[8,7,6,1,2,5,3,4] => 1110010 => [3,2,1,1] => 145
[8,7,6,1,2,5,4,3] => 1110011 => [3,2,2] => 105
[8,7,6,1,4,2,5,3] => 1110101 => [3,1,1,1,1] => 165
[4,7,5,8,6,1,3,2] => 0101101 => [1,1,1,2,1,1] => 359
[6,5,7,3,8,4,1,2] => 1010110 => [1,1,1,1,2,1] => 345
[8,7,5,4,1,2,6,3] => 1111001 => [4,2,1] => 65
[8,6,7,1,5,3,2,4] => 1010110 => [1,1,1,1,2,1] => 345
[7,5,6,1,3,4,2,8] => 1010010 => [1,1,1,2,1,1] => 359
[5,7,8,1,3,4,2,6] => 0010010 => [2,1,2,1,1] => 252
[7,8,5,1,3,4,2,6] => 0110010 => [1,2,2,1,1] => 295
[5,7,8,3,4,6,1,2] => 0010010 => [2,1,2,1,1] => 252
[7,5,1,3,4,2,6,8] => 1100100 => [2,2,1,2] => 180
[5,7,1,3,4,2,8,6] => 0100101 => [1,1,2,1,1,1] => 359
[7,3,5,6,4,8,1,2] => 1001010 => [1,2,1,1,1,1] => 345
[1,7,3,8,2,5,6,4] => 0101001 => [1,1,1,1,2,1] => 345
[1,5,3,7,8,4,6,2] => 0100101 => [1,1,2,1,1,1] => 359
[1,5,7,3,8,2,6,4] => 0010101 => [2,1,1,1,1,1] => 297
[7,1,5,3,6,2,4,8] => 1010100 => [1,1,1,1,1,2] => 297
[1,7,3,5,8,4,2,6] => 0100110 => [1,1,2,2,1] => 295
[1,3,7,5,8,6,2,4] => 0010110 => [2,1,1,2,1] => 241
[1,7,8,5,3,6,2,4] => 0011010 => [2,2,1,1,1] => 255
[1,7,5,8,3,4,2,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[7,1,5,6,3,4,2,8] => 1001010 => [1,2,1,1,1,1] => 345
[7,3,5,6,4,1,2,8] => 1001100 => [1,2,2,2] => 211
[3,7,5,8,4,1,2,6] => 0101100 => [1,1,1,2,2] => 255
[7,5,6,8,1,3,4,2] => 1001001 => [1,2,1,2,1] => 281
[5,3,4,7,8,1,2,6] => 1000100 => [1,3,1,2] => 157
[5,3,7,6,8,1,2,4] => 1010100 => [1,1,1,1,1,2] => 297
[3,7,1,2,5,8,4,6] => 0100010 => [1,1,3,1,1] => 233
[3,1,2,7,5,8,4,6] => 1001010 => [1,2,1,1,1,1] => 345
[3,1,2,5,7,8,6,4] => 1000011 => [1,4,2] => 81
[7,3,1,5,4,6,2,8] => 1101010 => [2,1,1,1,1,1] => 297
[7,3,5,1,2,6,4,8] => 1010010 => [1,1,1,2,1,1] => 359
[3,7,1,2,8,5,6,4] => 0100101 => [1,1,2,1,1,1] => 359
[5,3,1,7,4,6,8,2] => 1101001 => [2,1,1,2,1] => 241
[5,3,7,1,2,6,8,4] => 1010001 => [1,1,1,3,1] => 219
[7,4,8,3,5,6,1,2] => 1010010 => [1,1,1,2,1,1] => 359
[2,4,7,3,5,6,1,8] => 0010010 => [2,1,2,1,1] => 252
[5,7,6,4,2,3,1,8] => 0111010 => [1,3,1,1,1] => 219
[7,4,8,2,5,6,1,3] => 1010010 => [1,1,1,2,1,1] => 359
[5,8,2,4,6,1,3,7] => 0100100 => [1,1,2,1,2] => 252
[6,1,4,8,5,2,7,3] => 1001101 => [1,2,2,1,1] => 295
[3,4,5,8,1,6,7,2] => 0001001 => [3,1,2,1] => 137
[6,8,7,4,2,1,5,3] => 0111101 => [1,4,1,1] => 107
[5,6,8,4,7,3,1,2] => 0010110 => [2,1,1,2,1] => 241
[3,1,6,8,5,2,7,4] => 1001101 => [1,2,2,1,1] => 295
[2,3,8,1,5,6,4,7] => 0010010 => [2,1,2,1,1] => 252
[5,4,8,1,2,6,7,3] => 1010001 => [1,1,1,3,1] => 219
[5,1,8,2,4,6,7,3] => 1010001 => [1,1,1,3,1] => 219
[4,1,8,2,3,6,7,5] => 1010001 => [1,1,1,3,1] => 219
[5,2,3,8,1,7,4,6] => 1001010 => [1,2,1,1,1,1] => 345
[2,3,5,7,1,6,4,8] => 0001010 => [3,1,1,1,1] => 165
[1,5,3,8,2,4,6,7] => 0101000 => [1,1,1,1,3] => 165
[8,6,2,7,5,1,4,3] => 1101101 => [2,1,2,1,1] => 252
[2,7,1,8,6,3,5,4] => 0101101 => [1,1,1,2,1,1] => 359
[5,7,6,1,3,2,8,4] => 0110101 => [1,2,1,1,1,1] => 345
[3,5,4,6,1,7,8,2] => 0101001 => [1,1,1,1,2,1] => 345
[8,1,5,4,6,3,7,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,4,2,5,6,3,7,1] => 1100101 => [2,2,1,1,1] => 255
[8,6,2,7,5,4,3,1] => 1101111 => [2,1,4] => 55
[5,4,7,2,8,6,1,3] => 1010110 => [1,1,1,1,2,1] => 345
[3,5,6,4,1,7,2,8] => 0011010 => [2,2,1,1,1] => 255
[2,5,6,1,7,4,3,8] => 0010110 => [2,1,1,2,1] => 241
[2,7,1,8,6,5,4,3] => 0101111 => [1,1,1,4] => 75
[3,7,6,1,8,5,4,2] => 0110111 => [1,2,1,3] => 137
[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] => 242
[8,4,2,1,6,3,5,7,9] => 11101000 => [3,1,1,3] => 242
[6,4,2,1,8,3,5,7,9] => 11101000 => [3,1,1,3] => 242
[8,6,4,2,9,1,3,5,7] => 11101000 => [3,1,1,3] => 242
[9,6,4,2,7,1,3,5,8] => 11101000 => [3,1,1,3] => 242
[9,7,4,2,5,1,3,6,8] => 11101000 => [3,1,1,3] => 242
[9,7,5,2,3,1,4,6,8] => 11101000 => [3,1,1,3] => 242
[9,7,5,3,1,2,4,6,8] => 11110000 => [4,4] => 70
[10,8,6,4,2,1,3,5,7,9] => 111110000 => [5,4] => 126
[10,8,6,2,1,4,3,5,7,9] => 111101000 => [4,1,1,3] => 451
[8,2,1,4,3,6,5,7,9] => 11010100 => [2,1,1,1,1,2] => 704
[10,8,4,2,1,6,3,5,7,9] => 111101000 => [4,1,1,3] => 451
[4,2,1,6,3,5,8,7,9] => 11010010 => [2,1,1,2,1,1] => 861
[10,6,4,2,1,8,3,5,7,9] => 111101000 => [4,1,1,3] => 451
[6,4,2,1,8,3,5,9,7] => 11101001 => [3,1,1,2,1] => 476
[8,6,4,2,1,10,3,5,7,9] => 111101000 => [4,1,1,3] => 451
[6,4,2,7,1,3,5,8,9] => 11010000 => [2,1,1,4] => 200
[8,6,4,2,9,1,3,5,7,10] => 111010000 => [3,1,1,4] => 451
[6,2,8,3,1,4,5,7] => 1011000 => [1,1,2,3] => 145
[8,9,4,2,5,1,3,6,7] => 01101000 => [1,2,1,1,3] => 476
[9,6,4,2,7,1,3,5,8,10] => 111010000 => [3,1,1,4] => 451
[2,7,8,3,1,4,5,6] => 0011000 => [2,2,3] => 105
[9,6,7,2,3,1,4,5,8] => 10101000 => [1,1,1,1,1,3] => 572
[9,7,4,2,5,1,3,6,8,10] => 111010000 => [3,1,1,4] => 451
[9,7,4,5,1,2,3,6,8] => 11010000 => [2,1,1,4] => 200
[9,7,5,2,3,1,4,6,8,10] => 111010000 => [3,1,1,4] => 451
[9,7,5,3,1,2,4,6,8,10] => 111100000 => [4,5] => 126
[1,5,3,2,8,6,7,4] => 0110101 => [1,2,1,1,1,1] => 345
[1,8,5,3,2,6,7,4] => 0111001 => [1,3,2,1] => 185
[1,7,8,5,6,3,2,4] => 0010110 => [2,1,1,2,1] => 241
[1,5,6,7,3,2,8,4] => 0001101 => [3,2,1,1] => 145
[1,7,5,2,3,4,8,6] => 0110001 => [1,2,3,1] => 185
[1,7,5,2,4,8,6,3] => 0110011 => [1,2,2,2] => 211
[1,6,7,8,3,2,4,5] => 0001100 => [3,2,2] => 105
[1,4,8,6,2,3,5,7] => 0011000 => [2,2,3] => 105
[1,8,4,5,6,7,2,3] => 0100010 => [1,1,3,1,1] => 233
[1,2,8,6,3,4,5,7] => 0011000 => [2,2,3] => 105
[1,2,8,6,3,5,7,4] => 0011001 => [2,2,2,1] => 211
[1,2,7,8,4,3,5,6] => 0001100 => [3,2,2] => 105
[1,8,6,7,4,2,3,5] => 0101100 => [1,1,1,2,2] => 255
[1,6,7,8,4,2,3,5] => 0001100 => [3,2,2] => 105
[1,6,7,8,3,4,2,5] => 0001010 => [3,1,1,1,1] => 165
[1,7,4,2,3,8,5,6] => 0110010 => [1,2,2,1,1] => 295
[1,7,8,4,2,3,5,6] => 0011000 => [2,2,3] => 105
[1,7,3,5,6,2,8,4] => 0100101 => [1,1,2,1,1,1] => 359
[1,7,8,3,4,2,5,6] => 0010100 => [2,1,1,1,2] => 207
[1,2,3,7,8,5,4,6] => 0000110 => [4,2,1] => 65
[1,2,7,4,6,3,8,5] => 0010101 => [2,1,1,1,1,1] => 297
[1,7,4,5,2,3,8,6] => 0101001 => [1,1,1,1,2,1] => 345
[1,7,8,4,5,2,3,6] => 0010100 => [2,1,1,1,2] => 207
[1,7,8,3,4,5,2,6] => 0010010 => [2,1,2,1,1] => 252
[1,2,8,4,5,6,3,7] => 0010010 => [2,1,2,1,1] => 252
[1,8,4,5,6,2,3,7] => 0100100 => [1,1,2,1,2] => 252
[5,8,2,7,3,4,1,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[6,8,7,2,3,4,1,5] => 0110010 => [1,2,2,1,1] => 295
[3,8,7,5,2,6,1,4] => 0111010 => [1,3,1,1,1] => 219
[4,8,7,3,2,5,1,6] => 0111010 => [1,3,1,1,1] => 219
[5,3,8,1,6,7,4,2] => 1010011 => [1,1,1,2,2] => 255
[5,8,2,1,3,7,6,4] => 0110011 => [1,2,2,2] => 211
[5,1,8,2,6,4,7,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,1,8,3,6,7,4,2] => 1010011 => [1,1,1,2,2] => 255
[3,1,8,4,6,2,7,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,4,1,6,5,2,3,7] => 1101100 => [2,1,2,2] => 180
[1,8,7,6,4,3,5,2] => 0111101 => [1,4,1,1] => 107
[6,1,8,7,5,3,4,2] => 1011101 => [1,1,3,1,1] => 233
[6,8,7,3,2,4,1,5] => 0111010 => [1,3,1,1,1] => 219
[2,3,7,5,6,8,4,1] => 0010011 => [2,1,2,2] => 180
[3,2,4,7,5,8,1,6] => 1001010 => [1,2,1,1,1,1] => 345
[2,8,7,6,4,5,1,3] => 0111010 => [1,3,1,1,1] => 219
[4,8,7,6,3,1,5,2] => 0111101 => [1,4,1,1] => 107
[3,5,2,4,7,6,8,1] => 0100101 => [1,1,2,1,1,1] => 359
[5,3,2,6,4,7,8,1] => 1101001 => [2,1,1,2,1] => 241
[5,3,2,6,7,4,8,1] => 1100101 => [2,2,1,1,1] => 255
[5,3,2,7,6,4,8,1] => 1101101 => [2,1,2,1,1] => 252
[7,3,5,2,8,4,6,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[3,5,2,7,4,6,8,1] => 0101001 => [1,1,1,1,2,1] => 345
[3,2,5,7,4,6,8,1] => 1001001 => [1,2,1,2,1] => 281
[3,2,7,5,4,8,6,1] => 1011011 => [1,1,2,1,2] => 252
[3,7,5,2,4,8,6,1] => 0110011 => [1,2,2,2] => 211
[2,3,7,5,4,8,6,1] => 0011011 => [2,2,1,2] => 180
[8,3,5,1,6,4,7,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,4,5,6,1,3,7,2] => 1001001 => [1,2,1,2,1] => 281
[3,4,7,6,8,2,5,1] => 0010101 => [2,1,1,1,1,1] => 297
[5,2,8,4,1,3,6,7] => 1011000 => [1,1,2,3] => 145
[3,8,5,2,1,4,6,7] => 0111000 => [1,3,3] => 95
[7,6,4,1,8,2,5,3] => 1110101 => [3,1,1,1,1] => 165
[7,5,4,2,1,6,3,8] => 1111010 => [4,1,1,1] => 75
[8,1,6,7,3,4,2,5] => 1001010 => [1,2,1,1,1,1] => 345
[8,2,1,6,7,4,3,5] => 1100110 => [2,2,2,1] => 211
[5,2,8,6,3,7,1,4] => 1011010 => [1,1,2,1,1,1] => 359
[7,6,8,1,2,5,4,3] => 1010011 => [1,1,1,2,2] => 255
[1,2,9,3,4,5,6,8,7] => 00100001 => [2,1,4,1] => 303
[1,2,3,8,4,5,9,6,7] => 00010010 => [3,1,2,1,1] => 502
[1,2,3,4,9,5,6,8,7] => 00001001 => [4,1,2,1] => 235
[2,1,3,4,8,5,7,6] => 1000101 => [1,3,1,1,1] => 219
[1,2,3,4,5,9,6,8,7] => 00000101 => [5,1,1,1] => 110
[7,1,2,3,4,8,5,9,6] => 10000101 => [1,4,1,1,1] => 410
[6,9,1,2,3,4,8,5,7] => 01000010 => [1,1,4,1,1] => 450
[1,2,10,3,4,5,6,7,9,8] => 001000001 => [2,1,5,1] => 534
[5,1,9,2,3,4,8,6,7] => 10100010 => [1,1,1,3,1,1] => 842
[1,2,3,9,4,5,6,10,7,8] => 000100010 => [3,1,3,1,1] => 1330
[4,1,2,3,5,8,6,9,7] => 10000101 => [1,4,1,1,1] => 410
[1,2,3,4,10,5,6,7,9,8] => 000010001 => [4,1,3,1] => 626
[3,1,2,4,9,5,8,6,7] => 10001010 => [1,3,1,1,1,1] => 770
[1,2,3,4,5,10,6,7,9,8] => 000001001 => [5,1,2,1] => 375
[2,1,3,4,5,9,6,8,7] => 10000101 => [1,4,1,1,1] => 410
[1,2,3,4,5,6,9,10,7,8] => 000000010 => [7,1,1] => 44
[8,1,2,3,4,5,9,6,10,7] => 100000101 => [1,5,1,1,1] => 704
[1,7,2,3,4,5,9,8,6] => 01000011 => [1,1,4,2] => 343
[7,10,1,2,3,4,5,9,6,8] => 010000010 => [1,1,5,1,1] => 794
[1,6,2,3,4,5,9,8,7] => 01000011 => [1,1,4,2] => 343
[6,1,2,3,7,4,8,9,5] => 10001001 => [1,3,1,2,1] => 646
[6,1,10,2,3,4,5,9,7,8] => 101000010 => [1,1,1,4,1,1] => 1754
[5,7,1,2,6,8,3,4] => 0100010 => [1,1,3,1,1] => 233
[1,2,3,8,5,4,6,9,7] => 00011001 => [3,2,2,1] => 436
[5,9,1,2,6,3,4,8,7] => 01001001 => [1,1,2,1,2,1] => 1006
[5,1,2,3,4,6,9,7,10,8] => 100000101 => [1,5,1,1,1] => 704
[1,4,2,3,5,6,9,8,7] => 01000011 => [1,1,4,2] => 343
[1,5,2,3,6,8,7,4] => 0100011 => [1,1,3,2] => 171
[4,1,9,5,2,3,6,8,7] => 10110001 => [1,1,2,3,1] => 685
[4,1,2,3,10,5,6,9,7,8] => 100010010 => [1,3,1,2,1,1] => 2407
[1,3,2,4,5,6,9,8,7] => 01000011 => [1,1,4,2] => 343
[3,4,1,2,5,6,8,9,7] => 01000001 => [1,1,5,1] => 170
[3,1,2,4,5,10,6,9,7,8] => 100001010 => [1,4,1,1,1,1] => 1529
[2,3,1,4,9,5,6,8,7] => 01001001 => [1,1,2,1,2,1] => 1006
[3,5,7,4,1,8,2,6] => 0011010 => [2,2,1,1,1] => 255
[8,6,4,7,5,1,2,3] => 1101100 => [2,1,2,2] => 180
[8,6,4,1,2,5,3,7] => 1110010 => [3,2,1,1] => 145
[2,8,4,3,1,6,5,7] => 0111010 => [1,3,1,1,1] => 219
[3,8,4,6,1,5,2,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[8,3,5,6,1,4,7,2] => 1001001 => [1,2,1,2,1] => 281
[6,8,7,3,5,4,2,1] => 0110111 => [1,2,1,3] => 137
[3,1,2,8,5,7,4,6] => 1001010 => [1,2,1,1,1,1] => 345
[8,1,2,3,4,6,9,5,7] => 10000010 => [1,5,1,1] => 170
[8,1,2,4,6,9,3,5,7] => 10000100 => [1,4,1,2] => 303
[6,1,2,3,4,5,9,8,7] => 10000011 => [1,5,2] => 133
[5,1,2,3,4,8,6,9,7] => 10000101 => [1,4,1,1,1] => 410
[4,1,2,3,9,6,8,5,7] => 10001010 => [1,3,1,1,1,1] => 770
[9,1,2,3,4,5,7,10,6,8] => 100000010 => [1,6,1,1] => 254
[7,3,1,2,5,8,4,6] => 1100010 => [2,3,1,1] => 171
[3,1,2,8,4,6,9,5,7] => 10010010 => [1,2,1,2,1,1] => 1006
[8,3,5,7,2,1,4,6] => 1001100 => [1,2,2,2] => 211
[2,1,3,8,5,7,4,6] => 1001010 => [1,2,1,1,1,1] => 345
[2,1,9,4,6,8,3,5,7] => 10100100 => [1,1,1,2,1,2] => 875
[9,1,2,3,5,7,10,4,6,8] => 100000100 => [1,5,1,2] => 534
[1,8,2,4,6,9,3,5,7] => 01000100 => [1,1,3,1,2] => 609
[9,1,3,5,7,10,2,4,6,8] => 100001000 => [1,4,1,3] => 709
[7,3,1,2,8,4,5,6] => 1100100 => [2,2,1,2] => 180
[2,1,4,7,6,3,5,8] => 1001100 => [1,2,2,2] => 211
[7,2,4,5,3,8,1,6] => 1001010 => [1,2,1,1,1,1] => 345
[8,4,2,5,6,7,3,1] => 1100011 => [2,3,2] => 126
[5,4,1,6,3,7,8,2] => 1101001 => [2,1,1,2,1] => 241
[4,5,1,3,6,7,8,2] => 0100001 => [1,1,4,1] => 107
[5,1,7,6,3,4,8,2] => 1011001 => [1,1,2,2,1] => 295
[6,1,7,5,4,8,2,3] => 1011010 => [1,1,2,1,1,1] => 359
[3,7,2,1,6,8,4,5] => 0110010 => [1,2,2,1,1] => 295
[1,5,8,2,4,7,6,3] => 0010011 => [2,1,2,2] => 180
[5,8,1,6,4,7,3,2] => 0101011 => [1,1,1,1,1,2] => 297
[3,8,6,5,7,2,4,1] => 0110101 => [1,2,1,1,1,1] => 345
[6,8,1,4,7,3,5,2] => 0100101 => [1,1,2,1,1,1] => 359
[1,6,8,2,7,4,5,3] => 0010101 => [2,1,1,1,1,1] => 297
[5,7,2,1,8,4,3,6] => 0110110 => [1,2,1,2,1] => 281
[5,7,1,6,8,3,2,4] => 0100110 => [1,1,2,2,1] => 295
[5,6,2,1,8,3,4,7] => 0110100 => [1,2,1,1,2] => 241
[6,4,1,7,3,8,2,5] => 1101010 => [2,1,1,1,1,1] => 297
[8,2,5,6,7,1,4,3] => 1000101 => [1,3,1,1,1] => 219
[7,2,4,6,8,3,1,5] => 1000110 => [1,3,2,1] => 185
[6,2,4,7,8,1,3,5] => 1000100 => [1,3,1,2] => 157
[6,1,4,3,2,8,5,7] => 1011010 => [1,1,2,1,1,1] => 359
[2,7,4,8,6,1,5,3] => 0101101 => [1,1,1,2,1,1] => 359
[2,4,8,6,5,7,3,1] => 0011011 => [2,2,1,2] => 180
[3,7,8,6,4,2,5,1] => 0011101 => [2,3,1,1] => 171
[6,2,8,4,7,5,1,3] => 1010110 => [1,1,1,1,2,1] => 345
[4,5,7,3,6,8,1,2] => 0010010 => [2,1,2,1,1] => 252
[3,4,7,8,6,5,1,2] => 0001110 => [3,3,1] => 95
[1,4,7,2,6,8,5,3] => 0010011 => [2,1,2,2] => 180
[2,3,7,6,5,1,4,8] => 0011100 => [2,3,2] => 126
[3,2,7,6,4,1,5,8] => 1011100 => [1,1,3,2] => 171
[6,2,3,5,7,1,4,8] => 1000100 => [1,3,1,2] => 157
[7,8,1,2,5,6,4,3] => 0100011 => [1,1,3,2] => 171
[7,1,3,6,8,5,2,4] => 1000110 => [1,3,2,1] => 185
[4,2,8,5,1,6,3,7] => 1011010 => [1,1,2,1,1,1] => 359
[6,5,8,1,4,2,3,7] => 1010100 => [1,1,1,1,1,2] => 297
[3,8,2,4,5,1,6,7] => 0100100 => [1,1,2,1,2] => 252
[3,6,2,4,1,5,7,8] => 0101000 => [1,1,1,1,3] => 165
[2,3,8,4,1,6,5,7] => 0011010 => [2,2,1,1,1] => 255
[4,5,7,3,1,6,2,8] => 0011010 => [2,2,1,1,1] => 255
[2,3,1,4,8,5,7,6] => 0100101 => [1,1,2,1,1,1] => 359
[4,2,6,1,5,8,7,3] => 1010011 => [1,1,1,2,2] => 255
[7,5,1,8,4,3,6,2] => 1101101 => [2,1,2,1,1] => 252
[3,1,8,5,7,6,4,2] => 1010111 => [1,1,1,1,3] => 165
[5,1,8,7,4,6,3,2] => 1011011 => [1,1,2,1,2] => 252
[2,4,8,7,5,1,3,6] => 0011100 => [2,3,2] => 126
[3,5,7,6,1,8,4,2] => 0011011 => [2,2,1,2] => 180
[3,5,7,6,2,8,4,1] => 0011011 => [2,2,1,2] => 180
[1,5,3,2,8,7,6,4] => 0110111 => [1,2,1,3] => 137
[6,1,4,3,8,7,5,2] => 1010111 => [1,1,1,1,3] => 165
[6,3,1,8,7,4,2,5] => 1101110 => [2,1,3,1] => 157
[5,3,6,2,8,7,4,1] => 1010111 => [1,1,1,1,3] => 165
[6,3,5,2,1,8,7,4] => 1011011 => [1,1,2,1,2] => 252
[2,8,4,1,3,7,6,5] => 0110011 => [1,2,2,2] => 211
[3,8,1,4,7,6,5,2] => 0100111 => [1,1,2,3] => 145
[6,2,3,8,7,5,4,1] => 1001111 => [1,2,4] => 65
[4,1,3,5,8,7,6,2] => 1000111 => [1,3,3] => 95
[3,4,7,5,8,1,2,6] => 0010100 => [2,1,1,1,2] => 207
[2,7,8,3,4,1,5,6] => 0010100 => [2,1,1,1,2] => 207
[2,8,6,7,5,4,3,1] => 0101111 => [1,1,1,4] => 75
[7,2,6,8,1,4,3,5] => 1001010 => [1,2,1,1,1,1] => 345
[5,3,6,2,8,4,7,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,1,6,3,7,4,5,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[2,4,3,7,1,8,6,5] => 0101011 => [1,1,1,1,1,2] => 297
[2,6,5,7,3,8,4,1] => 0101011 => [1,1,1,1,1,2] => 297
[6,8,2,7,4,1,5,3] => 0101101 => [1,1,1,2,1,1] => 359
[6,1,7,8,5,3,2,4] => 1001110 => [1,2,3,1] => 185
[2,6,5,4,7,1,8,3] => 0110101 => [1,2,1,1,1,1] => 345
[5,8,3,4,6,1,7,2] => 0100101 => [1,1,2,1,1,1] => 359
[6,1,7,4,2,5,8,3] => 1011001 => [1,1,2,2,1] => 295
[6,8,7,1,5,4,2,3] => 0110110 => [1,2,1,2,1] => 281
[4,8,3,1,5,7,6,2] => 0110011 => [1,2,2,2] => 211
[5,3,8,2,7,1,6,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,3,4,5,2,7,1,6] => 1001010 => [1,2,1,1,1,1] => 345
[8,2,6,7,1,5,3,4] => 1001010 => [1,2,1,1,1,1] => 345
[7,1,5,2,6,3,4,8] => 1010100 => [1,1,1,1,1,2] => 297
[3,7,1,5,2,6,8,4] => 0101001 => [1,1,1,1,2,1] => 345
[6,7,1,8,3,4,5,2] => 0101001 => [1,1,1,1,2,1] => 345
[3,7,1,6,8,4,5,2] => 0100101 => [1,1,2,1,1,1] => 359
[3,8,5,2,6,7,1,4] => 0110010 => [1,2,2,1,1] => 295
[3,6,5,2,7,1,4,8] => 0110100 => [1,2,1,1,2] => 241
[6,8,3,4,7,1,5,2] => 0100101 => [1,1,2,1,1,1] => 359
[3,7,1,6,5,2,8,4] => 0101101 => [1,1,1,2,1,1] => 359
[8,3,5,2,7,1,6,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[3,8,6,4,7,1,5,2] => 0110101 => [1,2,1,1,1,1] => 345
[3,7,1,4,8,6,5,2] => 0100111 => [1,1,2,3] => 145
[3,7,1,4,5,2,8,6] => 0100101 => [1,1,2,1,1,1] => 359
[2,3,7,6,5,8,1,4] => 0011010 => [2,2,1,1,1] => 255
[4,3,5,6,7,8,9,1,2] => 10000010 => [1,5,1,1] => 170
[6,7,8,5,4,3,2,1,9] => 00111110 => [2,5,1] => 133
[6,5,7,8,4,3,2,1,9] => 10011110 => [1,2,4,1] => 358
[6,5,4,7,8,3,2,1,9] => 11001110 => [2,2,3,1] => 500
[6,5,4,3,7,8,2,1,9] => 11100110 => [3,2,2,1] => 436
[6,5,4,3,2,7,8,1,9] => 11110010 => [4,2,1,1] => 250
[7,8,9,5,4,3,2,1,6] => 00111110 => [2,5,1] => 133
[7,8,9,6,5,4,3,2,1,10] => 001111110 => [2,6,1] => 204
[6,7,8,9,4,3,2,1,5] => 00011110 => [3,4,1] => 196
[7,6,8,9,5,4,3,2,1,10] => 100111110 => [1,2,5,1] => 630
[6,5,7,8,9,3,2,1,4] => 10001110 => [1,3,3,1] => 460
[7,6,5,8,9,4,3,2,1,10] => 110011110 => [2,2,4,1] => 1041
[6,5,4,7,8,9,2,1,3] => 11000110 => [2,3,2,1] => 533
[7,6,5,4,8,9,3,2,1,10] => 111001110 => [3,2,3,1] => 1109
[6,5,4,3,7,8,9,1,2] => 11100010 => [3,3,1,1] => 376
[7,6,5,4,3,8,9,2,1,10] => 111100110 => [4,2,2,1] => 801
[6,5,4,3,2,7,8,9,1] => 11110001 => [4,3,1] => 175
[7,6,5,4,3,2,8,9,1,10] => 111110010 => [5,2,1,1] => 399
[3,5,7,6,8,2,1,4] => 0010110 => [2,1,1,2,1] => 241
[4,2,5,3,7,6,1,8] => 1010110 => [1,1,1,1,2,1] => 345
[6,2,4,3,7,5,1,8] => 1010110 => [1,1,1,1,2,1] => 345
[1,3,6,4,7,5,2,8] => 0010110 => [2,1,1,2,1] => 241
[8,2,5,3,6,4,1,7] => 1010110 => [1,1,1,1,2,1] => 345
[7,2,5,3,6,4,1,8] => 1010110 => [1,1,1,1,2,1] => 345
[6,2,5,3,7,4,1,8] => 1010110 => [1,1,1,1,2,1] => 345
[4,2,6,3,7,5,1,8] => 1010110 => [1,1,1,1,2,1] => 345
[5,2,7,3,6,4,1,8] => 1010110 => [1,1,1,1,2,1] => 345
[7,3,6,2,5,4,1,8] => 1010110 => [1,1,1,1,2,1] => 345
[6,3,8,2,5,4,1,7] => 1010110 => [1,1,1,1,2,1] => 345
[7,3,1,4,6,5,2,8] => 1100110 => [2,2,2,1] => 211
[8,3,7,2,5,4,1,6] => 1010110 => [1,1,1,1,2,1] => 345
[5,2,8,3,6,4,1,7] => 1010110 => [1,1,1,1,2,1] => 345
[3,2,8,4,6,5,1,7] => 1010110 => [1,1,1,1,2,1] => 345
[1,4,7,3,6,5,2,8] => 0010110 => [2,1,1,2,1] => 241
[8,2,5,4,1,6,3,7] => 1011010 => [1,1,2,1,1,1] => 359
[8,2,6,4,1,5,3,7] => 1011010 => [1,1,2,1,1,1] => 359
[1,4,8,3,7,5,2,6] => 0010110 => [2,1,1,2,1] => 241
[6,2,1,4,8,5,3,7] => 1100110 => [2,2,2,1] => 211
[5,2,1,4,8,6,3,7] => 1100110 => [2,2,2,1] => 211
[3,2,1,5,8,6,4,7] => 1100110 => [2,2,2,1] => 211
[4,2,8,3,7,5,1,6] => 1010110 => [1,1,1,1,2,1] => 345
[5,2,8,3,7,4,1,6] => 1010110 => [1,1,1,1,2,1] => 345
[8,3,7,2,6,4,1,5] => 1010110 => [1,1,1,1,2,1] => 345
[7,3,1,4,8,5,2,6] => 1100110 => [2,2,2,1] => 211
[1,3,7,4,8,5,2,6] => 0010110 => [2,1,1,2,1] => 241
[8,2,6,3,7,4,1,5] => 1010110 => [1,1,1,1,2,1] => 345
[7,2,6,3,8,4,1,5] => 1010110 => [1,1,1,1,2,1] => 345
[5,2,7,3,8,4,1,6] => 1010110 => [1,1,1,1,2,1] => 345
[3,2,7,4,8,5,1,6] => 1010110 => [1,1,1,1,2,1] => 345
[5,2,6,3,8,4,1,7] => 1010110 => [1,1,1,1,2,1] => 345
[6,2,5,3,8,4,1,7] => 1010110 => [1,1,1,1,2,1] => 345
[7,2,5,3,8,4,1,6] => 1010110 => [1,1,1,1,2,1] => 345
[8,2,5,3,7,4,1,6] => 1010110 => [1,1,1,1,2,1] => 345
[1,3,6,4,8,5,2,7] => 0010110 => [2,1,1,2,1] => 241
[1,3,5,4,8,6,2,7] => 0010110 => [2,1,1,2,1] => 241
[8,2,4,3,7,5,1,6] => 1010110 => [1,1,1,1,2,1] => 345
[7,2,4,3,8,5,1,6] => 1010110 => [1,1,1,1,2,1] => 345
[6,2,4,3,8,5,1,7] => 1010110 => [1,1,1,1,2,1] => 345
[5,2,4,3,8,6,1,7] => 1010110 => [1,1,1,1,2,1] => 345
[4,2,5,3,8,6,1,7] => 1010110 => [1,1,1,1,2,1] => 345
[4,2,5,3,1,7,6,8] => 1011010 => [1,1,2,1,1,1] => 359
[6,2,4,3,1,7,5,8] => 1011010 => [1,1,2,1,1,1] => 359
[7,2,4,3,1,6,5,8] => 1011010 => [1,1,2,1,1,1] => 359
[8,5,1,3,6,4,2,7] => 1100110 => [2,2,2,1] => 211
[8,4,1,3,6,5,2,7] => 1100110 => [2,2,2,1] => 211
[1,5,2,4,7,6,3,8] => 0100110 => [1,1,2,2,1] => 295
[7,2,5,3,1,6,4,8] => 1011010 => [1,1,2,1,1,1] => 359
[6,2,5,3,1,7,4,8] => 1011010 => [1,1,2,1,1,1] => 359
[4,2,6,3,1,7,5,8] => 1011010 => [1,1,2,1,1,1] => 359
[3,2,6,4,1,7,5,8] => 1011010 => [1,1,2,1,1,1] => 359
[3,2,7,4,1,6,5,8] => 1011010 => [1,1,2,1,1,1] => 359
[4,2,7,3,1,6,5,8] => 1011010 => [1,1,2,1,1,1] => 359
[5,2,7,3,1,6,4,8] => 1011010 => [1,1,2,1,1,1] => 359
[6,2,7,3,1,5,4,8] => 1011010 => [1,1,2,1,1,1] => 359
[7,2,6,3,1,5,4,8] => 1011010 => [1,1,2,1,1,1] => 359
[1,5,2,4,8,6,3,7] => 0100110 => [1,1,2,2,1] => 295
[8,4,1,3,7,5,2,6] => 1100110 => [2,2,2,1] => 211
[6,2,1,5,3,7,4,8] => 1101010 => [2,1,1,1,1,1] => 297
[3,2,1,6,4,7,5,8] => 1101010 => [2,1,1,1,1,1] => 297
[3,2,8,5,1,6,4,7] => 1011010 => [1,1,2,1,1,1] => 359
[6,2,8,4,1,5,3,7] => 1011010 => [1,1,2,1,1,1] => 359
[8,3,7,4,1,5,2,6] => 1011010 => [1,1,2,1,1,1] => 359
[7,1,3,2,5,6,4,8] => 1010010 => [1,1,1,2,1,1] => 359
[6,3,5,2,4,8,1,7] => 1010010 => [1,1,1,2,1,1] => 359
[1,5,2,8,7,4,3,6] => 0101110 => [1,1,1,3,1] => 219
[5,7,2,8,1,4,3,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,8,3,1,5,2,7,6] => 0110101 => [1,2,1,1,1,1] => 345
[7,1,5,3,2,6,8,4] => 1011001 => [1,1,2,2,1] => 295
[3,1,5,7,8,6,2,4] => 1000110 => [1,3,2,1] => 185
[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
[9,8,7,6,5,4,2,1,3,10] => 111111100 => [7,2] => 36
[8,7,6,5,2,3,1,4,9] => 11110100 => [4,1,1,2] => 200
[9,8,7,6,5,3,2,1,4,10] => 111111100 => [7,2] => 36
[8,7,6,3,4,2,1,5,9] => 11101100 => [3,1,2,2] => 365
[9,8,7,6,4,3,2,1,5,10] => 111111100 => [7,2] => 36
[8,7,4,5,3,2,1,6,9] => 11011100 => [2,1,3,2] => 452
[9,8,7,5,4,3,2,1,6,10] => 111111100 => [7,2] => 36
[8,5,6,4,3,2,1,7,9] => 10111100 => [1,1,4,2] => 343
[9,8,6,5,4,3,2,1,7,10] => 111111100 => [7,2] => 36
[6,7,5,4,3,2,1,8,9] => 01111100 => [1,5,2] => 133
[8,6,2,3,1,5,7,4] => 1101001 => [2,1,1,2,1] => 241
[2,5,1,7,4,8,6,3] => 0101011 => [1,1,1,1,1,2] => 297
[8,6,7,3,5,2,1,4] => 1010110 => [1,1,1,1,2,1] => 345
[1,4,2,7,3,6,8,5] => 0101001 => [1,1,1,1,2,1] => 345
[3,2,1,7,8,5,4,6] => 1100110 => [2,2,2,1] => 211
[7,3,4,2,1,5,8,6] => 1011001 => [1,1,2,2,1] => 295
[1,7,6,3,2,4,8,5] => 0111001 => [1,3,2,1] => 185
[2,1,6,4,7,8,5,3] => 1010011 => [1,1,1,2,2] => 255
[1,6,3,2,4,7,8,5] => 0110001 => [1,2,3,1] => 185
[1,2,3,7,5,8,4,6] => 0001010 => [3,1,1,1,1] => 165
[1,8,5,3,2,4,7,6] => 0111001 => [1,3,2,1] => 185
[4,7,8,1,5,6,2,3] => 0010010 => [2,1,2,1,1] => 252
[3,6,7,1,8,4,2,5] => 0010110 => [2,1,1,2,1] => 241
[1,3,7,6,2,4,5,8] => 0011000 => [2,2,3] => 105
[2,7,3,8,4,5,6,1] => 0101001 => [1,1,1,1,2,1] => 345
[7,1,4,3,8,5,6,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,6,2,7,8,3,4,1] => 0100101 => [1,1,2,1,1,1] => 359
[7,4,1,8,5,6,2,3] => 1101010 => [2,1,1,1,1,1] => 297
[7,2,5,8,1,6,3,4] => 1001010 => [1,2,1,1,1,1] => 345
[6,4,8,1,5,7,2,3] => 1010010 => [1,1,1,2,1,1] => 359
[2,7,4,1,3,6,8,5] => 0110001 => [1,2,3,1] => 185
[5,2,1,8,4,6,7,3] => 1101001 => [2,1,1,2,1] => 241
[6,2,1,4,7,5,8,3] => 1100101 => [2,2,1,1,1] => 255
[6,8,7,9,5,4,3,2,1] => 01011111 => [1,1,1,5] => 110
[5,8,7,6,9,4,3,2,1] => 01101111 => [1,2,1,4] => 235
[4,8,7,6,5,9,3,2,1] => 01110111 => [1,3,1,3] => 332
[3,8,7,6,5,4,9,2,1] => 01111011 => [1,4,1,2] => 303
[2,8,7,6,5,4,3,9,1] => 01111101 => [1,5,1,1] => 170
[1,2,8,4,6,3,5,7] => 0010100 => [2,1,1,1,2] => 207
[2,6,1,5,4,7,3,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,2,8,5,4,6,3,7] => 0011010 => [2,2,1,1,1] => 255
[1,3,6,8,4,5,7,2] => 0001001 => [3,1,2,1] => 137
[1,2,8,4,6,3,7,5] => 0010101 => [2,1,1,1,1,1] => 297
[4,6,3,5,7,8,1,2] => 0100010 => [1,1,3,1,1] => 233
[2,7,6,5,1,4,8,3] => 0111001 => [1,3,2,1] => 185
[2,7,4,8,1,3,6,5] => 0101001 => [1,1,1,1,2,1] => 345
[2,3,6,8,4,1,7,5] => 0001101 => [3,2,1,1] => 145
[1,2,6,8,4,7,5,3] => 0001011 => [3,1,1,2] => 117
[1,7,2,8,6,3,5,4] => 0101101 => [1,1,1,2,1,1] => 359
[2,3,8,5,4,7,1,6] => 0011010 => [2,2,1,1,1] => 255
[1,2,8,4,7,3,5,6] => 0010100 => [2,1,1,1,2] => 207
[2,6,1,4,8,3,7,5] => 0100101 => [1,1,2,1,1,1] => 359
[3,7,6,5,2,1,4,8] => 0111100 => [1,4,2] => 81
[2,5,6,1,4,8,7,3] => 0010011 => [2,1,2,2] => 180
[8,4,2,3,7,1,6,5] => 1100101 => [2,2,1,1,1] => 255
[5,2,4,8,7,3,1,6] => 1001110 => [1,2,3,1] => 185
[3,2,4,6,7,8,1,5] => 1000010 => [1,4,1,1] => 107
[5,2,6,8,1,3,7,4] => 1001001 => [1,2,1,2,1] => 281
[4,8,1,6,3,7,5,2] => 0101011 => [1,1,1,1,1,2] => 297
[7,1,5,2,6,4,3,8] => 1010110 => [1,1,1,1,2,1] => 345
[8,3,5,2,6,1,4,7] => 1010100 => [1,1,1,1,1,2] => 297
[1,8,5,6,2,7,4,3] => 0101011 => [1,1,1,1,1,2] => 297
[4,2,7,6,1,8,5,3] => 1011011 => [1,1,2,1,2] => 252
[7,2,4,8,6,3,5,1] => 1001101 => [1,2,2,1,1] => 295
[7,3,2,1,8,5,4,6] => 1110110 => [3,1,2,1] => 137
[7,3,2,1,6,4,8,5] => 1110101 => [3,1,1,1,1] => 165
[3,6,5,2,1,8,4,7] => 0111010 => [1,3,1,1,1] => 219
[6,7,2,4,3,5,8,1] => 0101001 => [1,1,1,1,2,1] => 345
[4,5,3,7,2,1,6,8] => 0101100 => [1,1,1,2,2] => 255
[4,3,8,2,1,5,7,6] => 1011001 => [1,1,2,2,1] => 295
[4,3,2,8,1,6,7,5] => 1101001 => [2,1,1,2,1] => 241
[4,5,8,3,2,7,1,6] => 0011010 => [2,2,1,1,1] => 255
[6,8,5,2,7,3,4,1] => 0110101 => [1,2,1,1,1,1] => 345
[5,4,7,8,2,3,6,1] => 1001001 => [1,2,1,2,1] => 281
[4,3,8,2,1,6,7,5] => 1011001 => [1,1,2,2,1] => 295
[1,9,2,4,5,6,7,8,3] => 01000001 => [1,1,5,1] => 170
[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] => 297
[5,3,7,6,2,4,8,1] => 1011001 => [1,1,2,2,1] => 295
[4,6,7,2,5,3,8,1] => 0010101 => [2,1,1,1,1,1] => 297
[6,4,7,8,3,1,5,2] => 1001101 => [1,2,2,1,1] => 295
[8,4,7,3,1,5,6,2] => 1011001 => [1,1,2,2,1] => 295
[5,8,1,7,6,4,2,3] => 0101110 => [1,1,1,3,1] => 219
[5,6,7,1,8,3,4,2] => 0010101 => [2,1,1,1,1,1] => 297
[7,1,8,6,2,5,4,3] => 1011011 => [1,1,2,1,2] => 252
[8,5,1,7,6,4,2,3] => 1101110 => [2,1,3,1] => 157
[1,5,8,2,6,4,7,3] => 0010101 => [2,1,1,1,1,1] => 297
[1,5,7,4,6,8,3,2] => 0010011 => [2,1,2,2] => 180
[1,4,7,5,6,8,3,2] => 0010011 => [2,1,2,2] => 180
[5,6,7,4,8,1,3,2] => 0010101 => [2,1,1,1,1,1] => 297
[8,1,2,6,4,5,7,3] => 1001001 => [1,2,1,2,1] => 281
[4,8,1,7,2,5,6,3] => 0101001 => [1,1,1,1,2,1] => 345
[2,6,7,1,5,4,8,3] => 0010101 => [2,1,1,1,1,1] => 297
[3,2,7,6,5,8,1,4] => 1011010 => [1,1,2,1,1,1] => 359
[1,7,3,4,5,8,2,6] => 0100010 => [1,1,3,1,1] => 233
[7,1,8,4,5,6,3,2] => 1010011 => [1,1,1,2,2] => 255
[10,1,3,4,5,6,7,8,9,2] => 100000001 => [1,7,1] => 65
[1,8,3,4,5,6,9,2,7] => 01000010 => [1,1,4,1,1] => 450
[8,2,3,4,5,1,9,7,6] => 10001011 => [1,3,1,1,2] => 551
[1,2,7,4,5,8,3,6] => 0010010 => [2,1,2,1,1] => 252
[8,1,9,4,5,6,7,3,2] => 10100011 => [1,1,1,3,2] => 623
[7,9,3,4,5,6,1,8,2] => 01000101 => [1,1,3,1,1,1] => 842
[1,9,3,4,5,6,7,10,2,8] => 010000010 => [1,1,5,1,1] => 794
[9,2,3,4,5,6,1,10,8,7] => 100001011 => [1,4,1,1,2] => 1119
[1,2,8,4,5,6,9,3,7] => 00100010 => [2,1,3,1,1] => 609
[7,8,3,4,5,2,9,1,6] => 01001010 => [1,1,2,1,1,1,1] => 1220
[8,2,3,4,1,6,9,7,5] => 10010011 => [1,2,1,2,2] => 725
[6,7,3,2,5,8,1,4] => 0110010 => [1,2,2,1,1] => 295
[8,1,3,9,5,6,7,4,2] => 10010011 => [1,2,1,2,2] => 725
[6,1,8,4,5,3,7,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,8,9,4,5,6,3,1,2] => 00100110 => [2,1,2,2,1] => 731
[9,1,10,4,5,6,7,8,3,2] => 101000011 => [1,1,1,4,2] => 1344
[6,9,3,4,5,1,7,8,2] => 01001001 => [1,1,2,1,2,1] => 1006
[8,10,3,4,5,6,7,1,9,2] => 010000101 => [1,1,4,1,1,1] => 1754
[4,6,2,5,1,8,7,3] => 0101011 => [1,1,1,1,1,2] => 297
[5,1,4,6,2,8,7,3] => 1001011 => [1,2,1,1,2] => 241
[7,3,5,2,1,6,8,4] => 1011001 => [1,1,2,2,1] => 295
[8,5,1,2,6,3,7,4] => 1100101 => [2,2,1,1,1] => 255
[1,5,8,7,4,6,3,2] => 0011011 => [2,2,1,2] => 180
[5,7,2,1,3,6,8,4] => 0110001 => [1,2,3,1] => 185
[3,7,2,6,8,1,5,4] => 0100101 => [1,1,2,1,1,1] => 359
[7,4,8,6,5,1,3,2] => 1011101 => [1,1,3,1,1] => 233
[2,7,6,8,5,1,4,3] => 0101101 => [1,1,1,2,1,1] => 359
[1,6,4,5,7,3,8,2] => 0100101 => [1,1,2,1,1,1] => 359
[1,5,4,7,8,6,2,3] => 0100110 => [1,1,2,2,1] => 295
[7,3,1,6,8,2,5,4] => 1100101 => [2,2,1,1,1] => 255
[7,1,6,8,5,2,4,3] => 1001101 => [1,2,2,1,1] => 295
[3,5,8,7,6,4,1,2] => 0011110 => [2,4,1] => 81
[1,5,7,8,6,2,4,3] => 0001101 => [3,2,1,1] => 145
[3,6,2,1,4,7,8,5] => 0110001 => [1,2,3,1] => 185
[6,8,2,7,5,4,3,1] => 0101111 => [1,1,1,4] => 75
[5,8,1,7,6,4,3,2] => 0101111 => [1,1,1,4] => 75
[10,6,1,2,3,4,9,5,7,8] => 110000100 => [2,4,1,2] => 1001
[10,7,1,2,3,4,9,5,6,8] => 110000100 => [2,4,1,2] => 1001
[9,10,1,2,3,4,8,5,6,7] => 010000100 => [1,1,4,1,2] => 1304
[10,1,5,2,3,4,6,7,8,9] => 101000000 => [1,1,1,6] => 154
[10,1,2,5,3,4,6,7,8,9] => 100100000 => [1,2,1,5] => 375
[5,1,2,3,10,4,6,7,8,9] => 100010000 => [1,3,1,4] => 626
[7,6,1,2,3,4,10,9,5,8] => 110000110 => [2,4,2,1] => 1182
[9,7,1,2,3,4,8,5,10,6] => 110000101 => [2,4,1,1,1] => 1344
[5,9,1,2,3,4,6,7,10,8] => 010000001 => [1,1,6,1] => 254
[10,8,4,9,1,2,3,5,6,7] => 110100000 => [2,1,1,5] => 319
[2,10,1,5,3,4,6,7,8,9] => 010100000 => [1,1,1,1,5] => 429
[3,1,5,2,10,4,6,7,8,9] => 101010000 => [1,1,1,1,1,4] => 1001
[4,1,2,10,3,5,6,7,8,9] => 100100000 => [1,2,1,5] => 375
[4,1,5,6,7,8,9,2,3] => 10000010 => [1,5,1,1] => 170
[2,3,4,5,8,9,1,6,7] => 00000100 => [5,1,2] => 83
[8,6,3,2,1,5,4,7] => 1111010 => [4,1,1,1] => 75
[8,5,3,2,4,1,7,6] => 1110101 => [3,1,1,1,1] => 165
[7,5,2,4,3,6,8,1] => 1101001 => [2,1,1,2,1] => 241
[8,5,1,4,6,3,2,7] => 1100110 => [2,2,2,1] => 211
[8,5,1,6,3,4,2,7] => 1101010 => [2,1,1,1,1,1] => 297
[8,4,3,6,1,5,2,7] => 1101010 => [2,1,1,1,1,1] => 297
[8,4,3,5,2,1,7,6] => 1101101 => [2,1,2,1,1] => 252
[6,4,3,2,8,7,1,5] => 1110110 => [3,1,2,1] => 137
[8,5,1,4,3,7,2,6] => 1101010 => [2,1,1,1,1,1] => 297
[8,5,4,2,1,3,7,6] => 1111001 => [4,2,1] => 65
[4,7,3,6,1,8,5,2] => 0101011 => [1,1,1,1,1,2] => 297
[7,6,2,4,1,5,8,3] => 1101001 => [2,1,1,2,1] => 241
[8,1,6,3,7,4,2,5] => 1010110 => [1,1,1,1,2,1] => 345
[5,3,8,2,6,7,1,4] => 1010010 => [1,1,1,2,1,1] => 359
[8,2,5,1,7,6,3,4] => 1010110 => [1,1,1,1,2,1] => 345
[8,2,4,6,3,7,1,5] => 1001010 => [1,2,1,1,1,1] => 345
[7,2,6,4,3,5,8,1] => 1011001 => [1,1,2,2,1] => 295
[7,3,6,2,4,5,8,1] => 1010001 => [1,1,1,3,1] => 219
[8,3,7,2,1,4,6,5] => 1011001 => [1,1,2,2,1] => 295
[7,6,4,1,3,2,8,5] => 1110101 => [3,1,1,1,1] => 165
[7,3,8,2,1,5,6,4] => 1011001 => [1,1,2,2,1] => 295
[6,2,5,7,4,3,8,1] => 1001101 => [1,2,2,1,1] => 295
[6,2,5,4,8,7,1,3] => 1010110 => [1,1,1,1,2,1] => 345
[7,2,4,8,5,1,6,3] => 1001101 => [1,2,2,1,1] => 295
[4,2,7,6,8,5,1,3] => 1010110 => [1,1,1,1,2,1] => 345
[7,1,6,2,8,5,4,3] => 1010111 => [1,1,1,1,3] => 165
[7,1,6,3,8,5,2,4] => 1010110 => [1,1,1,1,2,1] => 345
[7,2,6,8,1,3,5,4] => 1001001 => [1,2,1,2,1] => 281
[7,2,8,5,1,3,6,4] => 1011001 => [1,1,2,2,1] => 295
[7,1,8,5,3,2,6,4] => 1011101 => [1,1,3,1,1] => 233
[7,1,8,2,5,6,4,3] => 1010011 => [1,1,1,2,2] => 255
[6,1,5,8,7,2,4,3] => 1001101 => [1,2,2,1,1] => 295
[6,1,5,7,4,8,3,2] => 1001011 => [1,2,1,1,2] => 241
[6,1,5,7,8,3,4,2] => 1000101 => [1,3,1,1,1] => 219
[4,6,7,3,1,8,5,2] => 0011011 => [2,2,1,2] => 180
[4,2,6,3,1,8,7,5] => 1011011 => [1,1,2,1,2] => 252
[6,1,4,2,5,8,7,3] => 1010011 => [1,1,1,2,2] => 255
[1,5,3,8,4,6,2,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[7,2,3,5,8,4,1,6] => 1000110 => [1,3,2,1] => 185
[7,6,4,2,8,5,1,3] => 1110110 => [3,1,2,1] => 137
[1,7,6,4,8,5,3,2] => 0110111 => [1,2,1,3] => 137
[8,7,4,2,1,5,6,3] => 1111001 => [4,2,1] => 65
[8,2,3,5,1,4,6,7] => 1001000 => [1,2,1,3] => 137
[8,7,4,1,3,2,6,5] => 1110101 => [3,1,1,1,1] => 165
[7,1,4,8,3,6,2,5] => 1001010 => [1,2,1,1,1,1] => 345
[4,1,8,5,7,6,2,3] => 1010110 => [1,1,1,1,2,1] => 345
[3,7,5,8,4,2,1,6] => 0101110 => [1,1,1,3,1] => 219
[6,1,5,8,3,4,2,7] => 1001010 => [1,2,1,1,1,1] => 345
[6,7,5,1,3,2,4,8] => 0110100 => [1,2,1,1,2] => 241
[5,2,6,1,7,3,4,8] => 1010100 => [1,1,1,1,1,2] => 297
[4,2,6,8,3,7,1,5] => 1001010 => [1,2,1,1,1,1] => 345
[6,8,5,1,4,2,3,7] => 0110100 => [1,2,1,1,2] => 241
[7,8,4,5,1,3,6,2] => 0101001 => [1,1,1,1,2,1] => 345
[1,7,8,5,3,4,6,2] => 0011001 => [2,2,2,1] => 211
[1,5,8,3,6,4,7,2] => 0010101 => [2,1,1,1,1,1] => 297
[6,3,8,1,4,2,7,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,8,1,5,6,3,7,2] => 0100101 => [1,1,2,1,1,1] => 359
[1,8,2,6,5,3,7,4] => 0101101 => [1,1,1,2,1,1] => 359
[3,8,1,7,2,6,5,4] => 0101011 => [1,1,1,1,1,2] => 297
[7,3,8,1,2,6,5,4] => 1010011 => [1,1,1,2,2] => 255
[8,1,4,2,3,5,7,6] => 1010001 => [1,1,1,3,1] => 219
[8,1,2,4,6,5,7,3] => 1000101 => [1,3,1,1,1] => 219
[5,1,8,3,7,4,6,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,3,7,1,5,4,6,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,4,7,1,5,3,6,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,2,5,3,4,6,1,8] => 1010010 => [1,1,1,2,1,1] => 359
[7,6,4,2,5,3,1,8] => 1110110 => [3,1,2,1] => 137
[5,8,4,3,6,2,7,1] => 0110101 => [1,2,1,1,1,1] => 345
[1,7,2,6,3,4,8,5] => 0101001 => [1,1,1,1,2,1] => 345
[7,5,1,6,3,2,4,8] => 1101100 => [2,1,2,2] => 180
[7,1,2,6,3,4,5,8] => 1001000 => [1,2,1,3] => 137
[7,2,5,1,6,3,4,8] => 1010100 => [1,1,1,1,1,2] => 297
[7,3,1,4,6,2,5,8] => 1100100 => [2,2,1,2] => 180
[7,1,6,5,4,2,3,8] => 1011100 => [1,1,3,2] => 171
[5,8,4,3,1,7,2,6] => 0111010 => [1,3,1,1,1] => 219
[3,6,8,5,2,4,7,1] => 0011001 => [2,2,2,1] => 211
[5,7,8,4,3,2,6,1] => 0011101 => [2,3,1,1] => 171
[1,3,8,4,7,2,6,5] => 0010101 => [2,1,1,1,1,1] => 297
[3,2,1,4,5,8,6,7] => 1100010 => [2,3,1,1] => 171
[6,7,1,3,2,8,5,4] => 0101011 => [1,1,1,1,1,2] => 297
[1,5,3,2,6,8,4,7] => 0110010 => [1,2,2,1,1] => 295
[3,7,6,5,8,2,4,1] => 0110101 => [1,2,1,1,1,1] => 345
[5,7,4,2,8,6,1,3] => 0110110 => [1,2,1,2,1] => 281
[5,4,3,7,8,2,6,1] => 1100101 => [2,2,1,1,1] => 255
[3,8,5,7,6,2,4,1] => 0101101 => [1,1,1,2,1,1] => 359
[1,3,6,8,7,2,5,4] => 0001101 => [3,2,1,1] => 145
[5,8,7,1,4,2,3,6] => 0110100 => [1,2,1,1,2] => 241
[2,6,3,7,1,4,5,8] => 0101000 => [1,1,1,1,3] => 165
[6,5,1,2,4,7,8,3] => 1100001 => [2,4,1] => 81
[7,6,8,4,3,1,5,2] => 1011101 => [1,1,3,1,1] => 233
[1,7,6,5,3,2,4,8] => 0111100 => [1,4,2] => 81
[2,7,6,5,4,1,3,8] => 0111100 => [1,4,2] => 81
[6,2,3,5,8,4,1,7] => 1000110 => [1,3,2,1] => 185
[4,7,6,1,5,8,3,2] => 0110011 => [1,2,2,2] => 211
[9,8,7,6,5,4,2,3,1] => 11111101 => [6,1,1] => 35
[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] => 110
[6,8,7,1,5,4,3,2] => 0110111 => [1,2,1,3] => 137
[8,7,4,6,5,1,3,2] => 1101101 => [2,1,2,1,1] => 252
[9,8,7,1,6,5,4,3,2] => 11101111 => [3,1,4] => 125
[9,8,7,6,1,5,4,3,2] => 11110111 => [4,1,3] => 125
[9,8,7,6,5,1,4,3,2] => 11111011 => [5,1,2] => 83
[9,10,1,8,7,6,5,4,3,2] => 010111111 => [1,1,1,6] => 154
[10,9,1,8,7,6,5,4,3,2] => 110111111 => [2,1,6] => 119
[10,9,8,1,7,6,5,4,3,2] => 111011111 => [3,1,5] => 209
[10,9,8,7,1,6,5,4,3,2] => 111101111 => [4,1,4] => 251
[10,9,8,7,6,1,5,4,3,2] => 111110111 => [5,1,3] => 209
[10,9,8,7,6,5,1,4,3,2] => 111111011 => [6,1,2] => 119
[10,9,8,7,6,5,4,1,3,2] => 111111101 => [7,1,1] => 44
[3,5,2,4,7,6,9,8,1] => 01001011 => [1,1,2,1,1,2] => 861
[2,4,3,6,5,8,7,1,9] => 01010110 => [1,1,1,1,1,2,1] => 1166
[3,2,5,4,7,6,9,8,1,10] => 101010110 => [1,1,1,1,1,1,2,1] => 4004
[2,4,3,6,5,8,7,10,9,1] => 010101011 => [1,1,1,1,1,1,1,2] => 3432
[7,2,6,1,5,8,3,4] => 1010010 => [1,1,1,2,1,1] => 359
[4,7,3,8,6,2,5,1] => 0101101 => [1,1,1,2,1,1] => 359
[4,7,3,6,8,2,1,5] => 0100110 => [1,1,2,2,1] => 295
[5,4,7,3,8,2,1,6] => 1010110 => [1,1,1,1,2,1] => 345
[8,7,2,4,6,3,5,1] => 1100101 => [2,2,1,1,1] => 255
[4,3,5,7,2,6,1,8] => 1001010 => [1,2,1,1,1,1] => 345
[1,7,2,8,5,4,3,6] => 0101110 => [1,1,1,3,1] => 219
[5,4,8,3,6,2,1,7] => 1010110 => [1,1,1,1,2,1] => 345
[6,8,2,5,7,1,4,3] => 0100101 => [1,1,2,1,1,1] => 359
[3,8,6,2,7,5,1,4] => 0110110 => [1,2,1,2,1] => 281
[5,8,4,2,7,3,6,1] => 0110101 => [1,2,1,1,1,1] => 345
[8,2,7,3,4,5,1,6] => 1010010 => [1,1,1,2,1,1] => 359
[8,1,5,2,4,6,3,7] => 1010010 => [1,1,1,2,1,1] => 359
[8,6,1,3,4,5,7,2] => 1100001 => [2,4,1] => 81
[8,5,1,2,4,6,7,3] => 1100001 => [2,4,1] => 81
[2,6,8,7,3,4,5,1] => 0011001 => [2,2,2,1] => 211
[1,7,8,5,6,4,2,3] => 0010110 => [2,1,1,2,1] => 241
[8,3,1,2,4,6,7,5] => 1100001 => [2,4,1] => 81
[3,1,7,5,8,2,4,6] => 1010100 => [1,1,1,1,1,2] => 297
[8,1,3,2,4,6,5,7] => 1010010 => [1,1,1,2,1,1] => 359
[8,1,5,6,4,2,3,7] => 1001100 => [1,2,2,2] => 211
[8,1,6,5,4,3,2,7] => 1011110 => [1,1,4,1] => 107
[2,6,8,1,5,4,3,7] => 0010110 => [2,1,1,2,1] => 241
[5,2,1,7,6,3,8,4] => 1101101 => [2,1,2,1,1] => 252
[3,5,8,2,1,4,7,6] => 0011001 => [2,2,2,1] => 211
[4,2,8,5,3,7,6,1] => 1011011 => [1,1,2,1,2] => 252
[4,2,7,5,3,8,6,1] => 1011011 => [1,1,2,1,2] => 252
[6,4,5,1,8,3,2,7] => 1010110 => [1,1,1,1,2,1] => 345
[5,4,7,8,3,1,2,6] => 1001100 => [1,2,2,2] => 211
[4,5,8,1,3,7,2,6] => 0010010 => [2,1,2,1,1] => 252
[1,5,3,6,8,7,2,4] => 0100110 => [1,1,2,2,1] => 295
[7,6,2,8,1,4,3,5] => 1101010 => [2,1,1,1,1,1] => 297
[4,7,2,6,8,3,5,1] => 0100101 => [1,1,2,1,1,1] => 359
[6,3,2,8,7,4,5,1] => 1101101 => [2,1,2,1,1] => 252
[7,4,3,8,5,6,2,1] => 1101011 => [2,1,1,1,2] => 207
[3,1,5,8,7,6,2,4] => 1001110 => [1,2,3,1] => 185
[8,2,1,6,5,7,3,4] => 1101010 => [2,1,1,1,1,1] => 297
[3,1,8,6,5,7,2,4] => 1011010 => [1,1,2,1,1,1] => 359
[1,2,7,6,4,5,8,3] => 0011001 => [2,2,2,1] => 211
[7,2,6,5,1,8,3,4] => 1011010 => [1,1,2,1,1,1] => 359
[4,2,8,5,6,3,1,7] => 1010110 => [1,1,1,1,2,1] => 345
[4,7,3,2,5,1,6,8] => 0110100 => [1,2,1,1,2] => 241
[4,2,5,3,8,7,1,6] => 1010110 => [1,1,1,1,2,1] => 345
[7,2,5,3,8,4,6,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[3,6,8,1,7,4,5,2] => 0010101 => [2,1,1,1,1,1] => 297
[8,7,3,2,5,4,6,1] => 1110101 => [3,1,1,1,1] => 165
[7,5,6,1,8,3,2,4] => 1010110 => [1,1,1,1,2,1] => 345
[4,5,6,2,7,3,1,8] => 0010110 => [2,1,1,2,1] => 241
[5,3,4,7,1,6,2,8] => 1001010 => [1,2,1,1,1,1] => 345
[3,5,1,4,6,8,2,7] => 0100010 => [1,1,3,1,1] => 233
[8,5,7,4,2,1,3,6] => 1011100 => [1,1,3,2] => 171
[2,3,7,4,1,8,6,5] => 0011011 => [2,2,1,2] => 180
[2,4,5,1,8,6,3,7] => 0010110 => [2,1,1,2,1] => 241
[2,4,1,6,7,5,3,8] => 0100110 => [1,1,2,2,1] => 295
[6,3,7,1,5,2,4,8] => 1010100 => [1,1,1,1,1,2] => 297
[4,1,3,7,8,2,6,5] => 1000101 => [1,3,1,1,1] => 219
[7,1,4,8,6,5,2,3] => 1001110 => [1,2,3,1] => 185
[8,3,4,2,1,7,5,6] => 1011010 => [1,1,2,1,1,1] => 359
[1,4,5,3,8,6,7,2] => 0010101 => [2,1,1,1,1,1] => 297
[4,6,2,7,5,8,1,3] => 0101010 => [1,1,1,1,1,1,1] => 429
[7,3,2,5,1,8,4,6] => 1101010 => [2,1,1,1,1,1] => 297
[7,8,1,4,2,3,5,6] => 0101000 => [1,1,1,1,3] => 165
[6,5,2,4,8,7,1,3] => 1100110 => [2,2,2,1] => 211
[8,5,2,4,1,3,7,6] => 1101001 => [2,1,1,2,1] => 241
[5,1,2,4,3,6,8,7] => 1001001 => [1,2,1,2,1] => 281
[5,2,1,4,3,7,6,8] => 1101010 => [2,1,1,1,1,1] => 297
[8,6,2,7,5,3,1,4] => 1101110 => [2,1,3,1] => 157
[6,2,1,5,8,3,4,7] => 1100100 => [2,2,1,2] => 180
[2,3,8,7,1,5,4,6] => 0011010 => [2,2,1,1,1] => 255
[4,3,8,1,5,2,6,7] => 1010100 => [1,1,1,1,1,2] => 297
[4,1,3,6,7,2,8,5] => 1000101 => [1,3,1,1,1] => 219
[7,1,4,5,8,2,6,3] => 1000101 => [1,3,1,1,1] => 219
[6,1,3,2,4,5,8,7] => 1010001 => [1,1,1,3,1] => 219
[3,5,1,2,4,7,6,9,8] => 01000101 => [1,1,3,1,1,1] => 842
[3,7,8,6,5,1,2,4] => 0011100 => [2,3,2] => 126
[8,4,5,7,2,6,3,1] => 1001011 => [1,2,1,1,2] => 241
[4,5,8,2,7,3,1,6] => 0010110 => [2,1,1,2,1] => 241
[6,5,8,2,7,3,1,4] => 1010110 => [1,1,1,1,2,1] => 345
[6,4,8,2,7,3,1,5] => 1010110 => [1,1,1,1,2,1] => 345
[7,8,1,3,6,4,2,5] => 0100110 => [1,1,2,2,1] => 295
[4,3,8,2,7,5,1,6] => 1010110 => [1,1,1,1,2,1] => 345
[4,5,7,8,3,2,1,6] => 0001110 => [3,3,1] => 95
[5,7,3,4,2,6,8,1] => 0101001 => [1,1,1,1,2,1] => 345
[5,7,4,2,3,6,8,1] => 0110001 => [1,2,3,1] => 185
[5,4,7,3,2,8,1,6] => 1011010 => [1,1,2,1,1,1] => 359
[6,8,3,2,4,5,1,7] => 0110010 => [1,2,2,1,1] => 295
[5,8,3,4,6,1,2,7] => 0100100 => [1,1,2,1,2] => 252
[6,4,3,8,5,1,2,7] => 1101100 => [2,1,2,2] => 180
[6,4,8,2,3,5,1,7] => 1010010 => [1,1,1,2,1,1] => 359
[5,4,6,8,2,3,1,7] => 1001010 => [1,2,1,1,1,1] => 345
[5,6,8,4,1,2,3,7] => 0011000 => [2,2,3] => 105
[6,4,8,5,1,2,3,7] => 1011000 => [1,1,2,3] => 145
[7,4,8,3,1,2,5,6] => 1011000 => [1,1,2,3] => 145
[5,7,8,2,3,1,4,6] => 0010100 => [2,1,1,1,2] => 207
[5,4,7,8,2,1,3,6] => 1001100 => [1,2,2,2] => 211
[5,8,6,3,1,2,4,7] => 0111000 => [1,3,3] => 95
[6,8,5,2,1,3,4,7] => 0111000 => [1,3,3] => 95
[5,6,1,3,2,4,8,7] => 0101001 => [1,1,1,1,2,1] => 345
[8,1,5,4,6,2,7,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,3,8,1,2,5,7,6] => 1010001 => [1,1,1,3,1] => 219
[4,6,3,2,8,5,7,1] => 0110101 => [1,2,1,1,1,1] => 345
[5,3,7,2,1,8,6,4] => 1011011 => [1,1,2,1,2] => 252
[7,4,3,2,5,1,8,6] => 1110101 => [3,1,1,1,1] => 165
[5,4,8,3,7,2,1,6] => 1010110 => [1,1,1,1,2,1] => 345
[3,6,8,5,2,1,7,4] => 0011101 => [2,3,1,1] => 171
[6,1,5,4,7,2,8,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[1,3,6,5,8,2,7,4] => 0010101 => [2,1,1,1,1,1] => 297
[5,4,8,3,2,7,1,6] => 1011010 => [1,1,2,1,1,1] => 359
[5,4,3,7,8,2,1,6] => 1100110 => [2,2,2,1] => 211
[3,4,5,6,7,8,2,9,1] => 00000101 => [5,1,1,1] => 110
[3,4,5,6,7,8,9,2,10,1] => 000000101 => [6,1,1,1] => 154
[1,4,5,6,7,8,3,9,2] => 00000101 => [5,1,1,1] => 110
[3,4,5,6,7,2,1,9,8] => 00001101 => [4,2,1,1] => 250
[2,1,5,6,7,8,9,4,3] => 10000011 => [1,5,2] => 133
[2,4,5,6,7,8,3,1,9] => 00000110 => [5,2,1] => 98
[2,4,5,6,7,8,9,10,3,1] => 000000011 => [7,2] => 36
[1,4,8,6,3,2,7,5] => 0011101 => [2,3,1,1] => 171
[4,1,8,6,2,5,7,3] => 1011001 => [1,1,2,2,1] => 295
[6,7,2,5,3,8,4,1] => 0101011 => [1,1,1,1,1,2] => 297
[6,3,4,8,1,2,7,5] => 1001001 => [1,2,1,2,1] => 281
[6,2,8,1,7,4,5,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[2,6,3,1,5,8,7,4] => 0110011 => [1,2,2,2] => 211
[7,1,3,2,6,5,8,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,7,6,4,5,3,2,9,1] => 11101101 => [3,1,2,1,1] => 502
[2,9,8,7,5,6,4,3,1] => 01110111 => [1,3,1,3] => 332
[1,3,5,8,4,7,2,6] => 0001010 => [3,1,1,1,1] => 165
[2,3,8,7,5,1,6,4] => 0011101 => [2,3,1,1] => 171
[4,1,3,5,6,2,8,7] => 1000101 => [1,3,1,1,1] => 219
[6,4,8,7,3,5,2,1] => 1011011 => [1,1,2,1,2] => 252
[8,2,3,5,6,1,4,7] => 1000100 => [1,3,1,2] => 157
[3,8,2,7,6,4,1,5] => 0101110 => [1,1,1,3,1] => 219
[4,3,8,6,2,7,1,5] => 1011010 => [1,1,2,1,1,1] => 359
[8,3,4,5,1,6,7,2] => 1001001 => [1,2,1,2,1] => 281
[7,8,1,5,6,3,2,4] => 0100110 => [1,1,2,2,1] => 295
[1,7,8,3,2,5,4,6] => 0011010 => [2,2,1,1,1] => 255
[7,8,1,3,2,5,6,4] => 0101001 => [1,1,1,1,2,1] => 345
[7,8,1,3,5,4,6,2] => 0100101 => [1,1,2,1,1,1] => 359
[7,8,1,3,5,2,4,6] => 0100100 => [1,1,2,1,2] => 252
[1,3,7,8,5,2,4,6] => 0001100 => [3,2,2] => 105
[1,7,8,3,5,2,6,4] => 0010101 => [2,1,1,1,1,1] => 297
[1,7,8,3,2,5,6,4] => 0011001 => [2,2,2,1] => 211
[3,7,8,5,4,6,1,2] => 0011010 => [2,2,1,1,1] => 255
[3,5,7,6,4,8,1,2] => 0011010 => [2,2,1,1,1] => 255
[1,3,7,8,5,4,6,2] => 0001101 => [3,2,1,1] => 145
[1,3,7,8,5,4,2,6] => 0001110 => [3,3,1] => 95
[1,3,7,8,2,5,4,6] => 0001010 => [3,1,1,1,1] => 165
[1,3,2,7,8,5,4,6] => 0100110 => [1,1,2,2,1] => 295
[1,5,7,6,8,3,2,4] => 0010110 => [2,1,1,2,1] => 241
[3,5,4,7,8,6,1,2] => 0100110 => [1,1,2,2,1] => 295
[3,5,7,6,8,4,1,2] => 0010110 => [2,1,1,2,1] => 241
[1,5,7,6,8,3,4,2] => 0010101 => [2,1,1,1,1,1] => 297
[3,5,7,4,6,8,1,2] => 0010010 => [2,1,2,1,1] => 252
[6,5,8,4,3,7,1,2] => 1011010 => [1,1,2,1,1,1] => 359
[6,7,3,1,5,2,4,8] => 0110100 => [1,2,1,1,2] => 241
[5,2,4,1,8,3,6,7] => 1010100 => [1,1,1,1,1,2] => 297
[2,1,7,4,3,8,5,6] => 1011010 => [1,1,2,1,1,1] => 359
[7,2,3,8,5,4,1,6] => 1001110 => [1,2,3,1] => 185
[4,1,5,7,6,3,8,2] => 1001101 => [1,2,2,1,1] => 295
[3,2,5,4,7,6,1,10,8,9] => 101011010 => [1,1,1,1,2,1,1,1] => 4274
[3,2,5,4,9,8,6,7,1,10] => 101011010 => [1,1,1,1,2,1,1,1] => 4274
[3,2,5,4,1,8,6,10,7,9] => 101101010 => [1,1,2,1,1,1,1,1] => 4202
[3,2,5,4,1,10,9,6,7,8] => 101101100 => [1,1,2,1,2,2] => 2661
[3,2,7,6,4,5,9,8,1,10] => 101100110 => [1,1,2,2,2,1] => 3164
[3,2,7,6,4,5,1,10,8,9] => 101101010 => [1,1,2,1,1,1,1,1] => 4202
[3,2,9,6,4,8,5,7,1,10] => 101101010 => [1,1,2,1,1,1,1,1] => 4202
[3,2,1,6,4,8,5,10,7,9] => 110101010 => [2,1,1,1,1,1,1,1] => 3432
[3,2,1,6,4,10,9,5,7,8] => 110101100 => [2,1,1,1,2,2] => 2161
[3,2,9,8,7,4,5,6,1,10] => 101110010 => [1,1,3,2,1,1] => 2704
[3,2,1,8,7,4,5,10,6,9] => 110110010 => [2,1,2,2,1,1] => 2694
[3,2,1,10,7,4,9,5,6,8] => 110110100 => [2,1,2,1,1,2] => 2179
[3,2,1,10,9,8,4,5,6,7] => 110111000 => [2,1,3,3] => 1038
[5,4,2,3,7,6,9,8,1,10] => 110010110 => [2,2,1,1,2,1] => 2526
[5,4,2,3,7,6,1,10,8,9] => 110011010 => [2,2,2,1,1,1] => 2728
[5,4,2,3,9,8,6,7,1,10] => 110011010 => [2,2,2,1,1,1] => 2728
[5,4,2,3,1,8,6,10,7,9] => 110101010 => [2,1,1,1,1,1,1,1] => 3432
[5,4,2,3,1,10,9,6,7,8] => 110101100 => [2,1,1,1,2,2] => 2161
[7,4,2,6,3,5,9,8,1,10] => 110100110 => [2,1,1,2,2,1] => 2558
[7,4,2,6,3,5,1,10,8,9] => 110101010 => [2,1,1,1,1,1,1,1] => 3432
[9,4,2,6,3,8,5,7,1,10] => 110101010 => [2,1,1,1,1,1,1,1] => 3432
[1,4,2,6,3,8,5,10,7,9] => 010101010 => [1,1,1,1,1,1,1,1,1] => 4862
[1,4,2,6,3,10,9,5,7,8] => 010101100 => [1,1,1,1,1,2,2] => 3036
[9,4,2,8,7,3,5,6,1,10] => 110110010 => [2,1,2,2,1,1] => 2694
[1,4,2,8,7,3,5,10,6,9] => 010110010 => [1,1,1,2,2,1,1] => 3754
[1,4,2,10,7,3,9,5,6,8] => 010110100 => [1,1,1,2,1,1,2] => 3040
[1,4,2,10,9,8,3,5,6,7] => 010111000 => [1,1,1,3,3] => 1414
[7,6,5,2,3,4,9,8,1,10] => 111000110 => [3,3,2,1] => 1224
[7,6,5,2,3,4,1,10,8,9] => 111001010 => [3,2,1,1,1,1] => 1834
[9,6,5,2,3,8,4,7,1,10] => 111001010 => [3,2,1,1,1,1] => 1834
[1,6,5,2,3,8,4,10,7,9] => 011001010 => [1,2,2,1,1,1,1] => 3584
[1,6,5,2,3,10,9,4,7,8] => 011001100 => [1,2,2,2,2] => 2306
[9,8,5,2,7,3,4,6,1,10] => 111010010 => [3,1,1,2,1,1] => 1762
[1,8,5,2,7,3,4,10,6,9] => 011010010 => [1,2,1,1,2,1,1] => 3484
[1,10,5,2,7,3,9,4,6,8] => 011010100 => [1,2,1,1,1,1,2] => 2838
[1,10,5,2,9,8,3,4,6,7] => 011011000 => [1,2,1,2,3] => 1544
[9,8,7,6,2,3,4,5,1,10] => 111100010 => [4,3,1,1] => 721
[1,8,7,6,2,3,4,10,5,9] => 011100010 => [1,3,3,1,1] => 1849
[1,10,7,6,2,3,9,4,5,8] => 011100100 => [1,3,2,1,2] => 1794
[1,10,9,6,2,8,3,4,5,7] => 011101000 => [1,3,1,1,3] => 1177
[1,10,9,8,7,2,3,4,5,6] => 011110000 => [1,4,4] => 406
[1,4,8,2,3,6,5,7] => 0010010 => [2,1,2,1,1] => 252
[1,4,6,7,3,5,2,8] => 0001010 => [3,1,1,1,1] => 165
[1,4,8,2,6,7,5,3] => 0010011 => [2,1,2,2] => 180
[1,7,3,2,4,5,6,8] => 0110000 => [1,2,4] => 65
[1,7,3,2,4,5,8,6] => 0110001 => [1,2,3,1] => 185
[1,6,4,3,2,5,7,8] => 0111000 => [1,3,3] => 95
[4,2,6,5,3,1,7,8] => 1011100 => [1,1,3,2] => 171
[5,2,1,6,8,7,4,3] => 1100111 => [2,2,3] => 105
[1,3,5,8,6,2,7,4] => 0001101 => [3,2,1,1] => 145
[2,3,8,4,1,7,6,5] => 0011011 => [2,2,1,2] => 180
[3,7,8,5,4,2,6,1] => 0011101 => [2,3,1,1] => 171
[8,3,2,7,5,6,1,4] => 1101010 => [2,1,1,1,1,1] => 297
[1,3,8,5,7,4,2,6] => 0010110 => [2,1,1,2,1] => 241
[1,2,3,7,5,4,6,8] => 0001100 => [3,2,2] => 105
[1,4,2,8,6,3,5,7] => 0101100 => [1,1,1,2,2] => 255
[2,8,6,3,5,7,4,1] => 0110011 => [1,2,2,2] => 211
[6,1,8,2,5,3,4,7] => 1010100 => [1,1,1,1,1,2] => 297
[3,8,6,4,2,7,1,5] => 0111010 => [1,3,1,1,1] => 219
[1,5,4,2,3,6,8,7] => 0110001 => [1,2,3,1] => 185
[6,1,5,2,3,4,8,7] => 1010001 => [1,1,1,3,1] => 219
[6,5,2,1,7,3,4,8] => 1110100 => [3,1,1,2] => 117
[3,1,2,4,8,6,7,5] => 1000101 => [1,3,1,1,1] => 219
[3,1,2,5,8,7,4,6] => 1000110 => [1,3,2,1] => 185
[6,5,2,1,8,4,7,3] => 1110101 => [3,1,1,1,1] => 165
[3,7,5,2,8,1,4,6] => 0110100 => [1,2,1,1,2] => 241
[5,1,4,7,3,2,8,6] => 1001101 => [1,2,2,1,1] => 295
[4,1,5,8,6,2,3,7] => 1001100 => [1,2,2,2] => 211
[5,4,8,6,3,7,1,2] => 1011010 => [1,1,2,1,1,1] => 359
[6,5,2,3,1,8,7,4] => 1101011 => [2,1,1,1,2] => 207
[5,7,4,8,3,1,6,2] => 0101101 => [1,1,1,2,1,1] => 359
[3,1,4,7,5,2,8,6] => 1001101 => [1,2,2,1,1] => 295
[4,3,5,1,8,7,2,6] => 1010110 => [1,1,1,1,2,1] => 345
[2,5,3,6,1,8,4,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,5,6,8,3,1,7,4] => 0001101 => [3,2,1,1] => 145
[7,1,4,5,3,6,2,8] => 1001010 => [1,2,1,1,1,1] => 345
[1,7,2,4,5,3,6,8] => 0100100 => [1,1,2,1,2] => 252
[1,7,4,5,3,2,6,8] => 0101100 => [1,1,1,2,2] => 255
[1,6,4,7,3,5,2,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,5,6,4,8,2,1,7] => 0010110 => [2,1,1,2,1] => 241
[1,6,4,7,5,2,3,8] => 0101100 => [1,1,1,2,2] => 255
[1,5,2,6,7,4,3,8] => 0100110 => [1,1,2,2,1] => 295
[8,5,6,1,4,3,7,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[2,5,4,7,8,3,1,6] => 0100110 => [1,1,2,2,1] => 295
[6,4,5,8,2,3,1,7] => 1001010 => [1,2,1,1,1,1] => 345
[8,6,1,3,2,5,7,4] => 1101001 => [2,1,1,2,1] => 241
[7,5,8,1,4,6,3,2] => 1010011 => [1,1,1,2,2] => 255
[4,2,6,7,8,1,5,3] => 1000101 => [1,3,1,1,1] => 219
[3,4,6,7,8,1,5,2] => 0000101 => [4,1,1,1] => 75
[4,7,3,8,5,1,6,2] => 0101101 => [1,1,1,2,1,1] => 359
[4,3,2,7,5,8,1,6] => 1101010 => [2,1,1,1,1,1] => 297
[4,8,5,3,2,6,1,7] => 0111010 => [1,3,1,1,1] => 219
[2,8,4,5,3,6,1,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[8,1,5,3,2,4,7,6] => 1011001 => [1,1,2,2,1] => 295
[7,8,4,1,3,6,5,2] => 0110011 => [1,2,2,2] => 211
[8,6,1,3,2,7,4,5] => 1101010 => [2,1,1,1,1,1] => 297
[7,3,8,2,4,1,6,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,2,3,7,8,1,5,4] => 1000101 => [1,3,1,1,1] => 219
[6,3,7,8,1,5,4,2] => 1001011 => [1,2,1,1,2] => 241
[2,6,3,7,8,1,5,4] => 0100101 => [1,1,2,1,1,1] => 359
[7,5,8,1,6,4,2,3] => 1010110 => [1,1,1,1,2,1] => 345
[8,1,4,3,7,5,6,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[1,4,8,5,3,2,6,7] => 0011100 => [2,3,2] => 126
[8,2,7,6,4,1,5,3] => 1011101 => [1,1,3,1,1] => 233
[2,7,4,3,8,5,1,6] => 0110110 => [1,2,1,2,1] => 281
[6,8,2,7,3,1,5,4] => 0101101 => [1,1,1,2,1,1] => 359
[8,2,6,3,4,1,7,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,1,2,8,5,3,7,4] => 1001101 => [1,2,2,1,1] => 295
[4,1,5,8,3,6,7,2] => 1001001 => [1,2,1,2,1] => 281
[7,5,2,8,1,6,3,4] => 1101010 => [2,1,1,1,1,1] => 297
[4,8,5,7,1,3,2,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,4,7,2,1,5,8,6] => 0011001 => [2,2,2,1] => 211
[4,8,2,7,1,3,6,5] => 0101001 => [1,1,1,1,2,1] => 345
[5,2,1,8,7,4,6,3] => 1101101 => [2,1,2,1,1] => 252
[8,2,1,7,4,6,3,5] => 1101010 => [2,1,1,1,1,1] => 297
[4,2,5,8,3,6,7,1] => 1001001 => [1,2,1,2,1] => 281
[5,1,6,8,3,2,7,4] => 1001101 => [1,2,2,1,1] => 295
[4,1,5,6,8,2,7,3] => 1000101 => [1,3,1,1,1] => 219
[5,7,8,2,4,1,3,6] => 0010100 => [2,1,1,1,2] => 207
[4,5,2,8,7,3,1,6] => 0101110 => [1,1,1,3,1] => 219
[4,8,5,3,1,6,7,2] => 0111001 => [1,3,2,1] => 185
[6,2,3,1,7,8,5,4] => 1010011 => [1,1,1,2,2] => 255
[5,2,3,6,8,4,7,1] => 1000101 => [1,3,1,1,1] => 219
[6,2,1,7,8,4,3,5] => 1100110 => [2,2,2,1] => 211
[5,2,1,3,8,4,7,6] => 1100101 => [2,2,1,1,1] => 255
[5,2,7,8,4,1,6,3] => 1001101 => [1,2,2,1,1] => 295
[6,2,7,8,3,5,4,1] => 1001011 => [1,2,1,1,2] => 241
[5,2,8,6,4,1,7,3] => 1011101 => [1,1,3,1,1] => 233
[5,1,2,8,4,3,7,6] => 1001101 => [1,2,2,1,1] => 295
[6,7,8,3,2,5,4,1] => 0011011 => [2,2,1,2] => 180
[5,7,2,6,4,8,1,3] => 0101010 => [1,1,1,1,1,1,1] => 429
[6,2,3,4,7,8,5,1] => 1000011 => [1,4,2] => 81
[7,2,1,8,4,3,5,6] => 1101100 => [2,1,2,2] => 180
[6,2,1,3,7,5,8,4] => 1100101 => [2,2,1,1,1] => 255
[6,8,7,3,4,5,1,2] => 0110010 => [1,2,2,1,1] => 295
[6,2,3,7,8,1,4,5] => 1000100 => [1,3,1,2] => 157
[7,4,3,2,5,8,1,6] => 1110010 => [3,2,1,1] => 145
[7,2,4,3,5,8,1,6] => 1010010 => [1,1,1,2,1,1] => 359
[1,7,6,4,2,3,5,8] => 0111000 => [1,3,3] => 95
[1,3,2,5,8,6,4,7] => 0100110 => [1,1,2,2,1] => 295
[6,1,4,7,2,8,5,3] => 1001011 => [1,2,1,1,2] => 241
[1,7,5,8,4,2,3,6] => 0101100 => [1,1,1,2,2] => 255
[1,6,7,2,4,8,5,3] => 0010011 => [2,1,2,2] => 180
[5,7,2,4,3,6,8,1] => 0101001 => [1,1,1,1,2,1] => 345
[5,7,3,4,6,2,8,1] => 0100101 => [1,1,2,1,1,1] => 359
[2,8,3,6,1,7,4,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,3,1,8,5,2,6,7] => 1101100 => [2,1,2,2] => 180
[1,8,4,5,6,2,7,3] => 0100101 => [1,1,2,1,1,1] => 359
[7,3,8,2,1,4,5,6] => 1011000 => [1,1,2,3] => 145
[8,2,5,3,1,7,4,6] => 1011010 => [1,1,2,1,1,1] => 359
[6,3,5,8,1,7,4,2] => 1001011 => [1,2,1,1,2] => 241
[3,5,4,8,6,1,7,2] => 0101101 => [1,1,1,2,1,1] => 359
[7,5,2,3,8,4,6,1] => 1100101 => [2,2,1,1,1] => 255
[2,7,5,1,4,8,3,6] => 0110010 => [1,2,2,1,1] => 295
[5,7,6,1,2,8,3,4] => 0110010 => [1,2,2,1,1] => 295
[7,4,6,5,1,8,2,3] => 1011010 => [1,1,2,1,1,1] => 359
[7,1,3,2,6,8,4,5] => 1010010 => [1,1,1,2,1,1] => 359
[4,3,5,2,8,1,6,7] => 1010100 => [1,1,1,1,1,2] => 297
[1,7,3,8,2,4,6,5] => 0101001 => [1,1,1,1,2,1] => 345
[2,7,4,8,5,3,1,6] => 0101110 => [1,1,1,3,1] => 219
[6,1,3,8,4,2,7,5] => 1001101 => [1,2,2,1,1] => 295
[5,4,1,8,6,2,7,3] => 1101101 => [2,1,2,1,1] => 252
[5,4,6,8,1,3,2,7] => 1001010 => [1,2,1,1,1,1] => 345
[3,6,1,5,8,4,7,2] => 0100101 => [1,1,2,1,1,1] => 359
[6,4,8,3,5,7,2,1] => 1010011 => [1,1,1,2,2] => 255
[3,5,8,2,4,1,7,6] => 0010101 => [2,1,1,1,1,1] => 297
[7,2,8,4,1,3,6,5] => 1011001 => [1,1,2,2,1] => 295
[5,8,1,2,4,3,6,7] => 0100100 => [1,1,2,1,2] => 252
[8,4,3,5,7,2,6,1] => 1100101 => [2,2,1,1,1] => 255
[4,1,5,2,3,8,7,6] => 1010011 => [1,1,1,2,2] => 255
[6,3,5,8,2,4,7,1] => 1001001 => [1,2,1,2,1] => 281
[2,8,7,1,4,6,3,5] => 0110010 => [1,2,2,1,1] => 295
[1,8,5,3,7,4,2,6] => 0110110 => [1,2,1,2,1] => 281
[7,5,6,2,8,4,3,1] => 1010111 => [1,1,1,1,3] => 165
[5,7,6,2,8,1,4,3] => 0110101 => [1,2,1,1,1,1] => 345
[6,3,8,1,2,5,4,7] => 1010010 => [1,1,1,2,1,1] => 359
[7,6,4,8,5,3,2,1] => 1101111 => [2,1,4] => 55
[7,6,5,3,8,4,2,1] => 1110111 => [3,1,3] => 69
[7,6,5,4,2,8,3,1] => 1111011 => [4,1,2] => 55
[8,6,9,7,5,4,3,2,1] => 10111111 => [1,1,6] => 35
[7,5,4,8,6,3,2,1] => 1101111 => [2,1,4] => 55
[8,7,5,9,6,4,3,2,1] => 11011111 => [2,1,5] => 83
[8,7,6,4,9,5,3,2,1] => 11101111 => [3,1,4] => 125
[7,6,5,3,2,8,4,1] => 1111011 => [4,1,2] => 55
[8,7,6,5,3,9,4,2,1] => 11110111 => [4,1,3] => 125
[8,7,6,5,4,2,9,3,1] => 11111011 => [5,1,2] => 83
[3,2,5,4,7,6,1,10,9,8] => 101011011 => [1,1,1,1,2,1,2] => 3054
[3,2,5,4,9,8,7,6,1,10] => 101011110 => [1,1,1,1,4,1] => 1529
[3,2,5,4,1,8,7,10,9,6] => 101101011 => [1,1,2,1,1,1,2] => 2982
[3,2,5,4,1,10,9,8,7,6] => 101101111 => [1,1,2,1,4] => 901
[3,2,7,6,5,4,9,8,1,10] => 101110110 => [1,1,3,1,2,1] => 2548
[3,2,7,6,5,4,1,10,9,8] => 101111011 => [1,1,4,1,2] => 1304
[3,2,9,6,5,8,7,4,1,10] => 101101110 => [1,1,2,1,3,1] => 2407
[3,2,1,6,5,8,7,10,9,4] => 110101011 => [2,1,1,1,1,1,2] => 2431
[3,2,1,6,5,10,9,8,7,4] => 110101111 => [2,1,1,1,4] => 726
[3,2,1,8,7,6,5,10,9,4] => 110111011 => [2,1,3,1,2] => 1647
[3,2,1,10,7,6,9,8,5,4] => 110110111 => [2,1,2,1,3] => 1304
[5,4,3,2,7,6,9,8,1,10] => 111010110 => [3,1,1,1,2,1] => 1672
[5,4,3,2,7,6,1,10,9,8] => 111011011 => [3,1,2,1,2] => 1304
[5,4,3,2,9,8,7,6,1,10] => 111011110 => [3,1,4,1] => 709
[5,4,3,2,1,8,7,10,9,6] => 111101011 => [4,1,1,1,2] => 726
[7,4,3,6,5,2,9,8,1,10] => 110110110 => [2,1,2,1,2,1] => 2550
[7,4,3,6,5,2,1,10,9,8] => 110111011 => [2,1,3,1,2] => 1647
[9,4,3,6,5,8,7,2,1,10] => 110101110 => [2,1,1,1,3,1] => 1947
[1,4,3,6,5,8,7,10,9,2] => 010101011 => [1,1,1,1,1,1,1,2] => 3432
[1,4,3,6,5,10,9,8,7,2] => 010101111 => [1,1,1,1,1,4] => 1001
[9,4,3,8,7,6,5,2,1,10] => 110111110 => [2,1,5,1] => 534
[1,4,3,8,7,6,5,10,9,2] => 010111011 => [1,1,1,3,1,2] => 2256
[1,4,3,10,7,6,9,8,5,2] => 010110111 => [1,1,1,2,1,3] => 1806
[1,4,3,10,9,8,7,6,5,2] => 010111111 => [1,1,1,6] => 154
[7,6,5,4,3,2,9,8,1,10] => 111110110 => [5,1,2,1] => 375
[9,6,5,4,3,8,7,2,1,10] => 111101110 => [4,1,3,1] => 626
[1,6,5,4,3,8,7,10,9,2] => 011101011 => [1,3,1,1,1,2] => 1947
[1,6,5,4,3,10,9,8,7,2] => 011101111 => [1,3,1,4] => 626
[9,8,5,4,7,6,3,2,1,10] => 111011110 => [3,1,4,1] => 709
[1,8,5,4,7,6,3,10,9,2] => 011011011 => [1,2,1,2,1,2] => 2550
[1,10,5,4,7,6,9,8,3,2] => 011010111 => [1,2,1,1,1,3] => 1672
[1,10,5,4,9,8,7,6,3,2] => 011011111 => [1,2,1,5] => 375
[1,10,7,6,5,4,9,8,3,2] => 011110111 => [1,4,1,3] => 709
[1,10,9,6,5,8,7,4,3,2] => 011101111 => [1,3,1,4] => 626
[1,5,7,2,4,3,6,8] => 0010100 => [2,1,1,1,2] => 207
[1,6,5,3,2,4,7,8] => 0111000 => [1,3,3] => 95
[1,7,2,4,6,5,3,8] => 0100110 => [1,1,2,2,1] => 295
[1,4,7,2,6,5,3,8] => 0010110 => [2,1,1,2,1] => 241
[1,2,6,8,7,4,3,5] => 0001110 => [3,3,1] => 95
[1,2,7,4,3,5,8,6] => 0011001 => [2,2,2,1] => 211
[1,6,2,8,7,4,3,5] => 0101110 => [1,1,1,3,1] => 219
[1,7,4,2,3,5,8,6] => 0110001 => [1,2,3,1] => 185
[1,8,5,2,3,6,4,7] => 0110010 => [1,2,2,1,1] => 295
[1,7,4,8,5,2,3,6] => 0101100 => [1,1,1,2,2] => 255
[1,4,7,5,2,8,6,3] => 0011011 => [2,2,1,2] => 180
[1,6,3,7,4,2,8,5] => 0101101 => [1,1,1,2,1,1] => 359
[1,8,5,2,7,4,3,6] => 0110110 => [1,2,1,2,1] => 281
[1,4,8,7,5,3,2,6] => 0011110 => [2,4,1] => 81
[1,2,5,8,6,3,7,4] => 0001101 => [3,2,1,1] => 145
[1,2,4,7,5,8,6,3] => 0001011 => [3,1,1,2] => 117
[1,5,8,7,6,2,4,3] => 0011101 => [2,3,1,1] => 171
[1,3,5,8,7,6,2,4] => 0001110 => [3,3,1] => 95
[1,5,2,4,3,6,8,7] => 0101001 => [1,1,1,1,2,1] => 345
[1,6,8,7,5,3,2,4] => 0011110 => [2,4,1] => 81
[1,2,5,7,4,3,8,6] => 0001101 => [3,2,1,1] => 145
[1,5,3,2,6,8,7,4] => 0110011 => [1,2,2,2] => 211
[1,4,2,6,8,7,5,3] => 0100111 => [1,1,2,3] => 145
[1,5,8,6,3,2,7,4] => 0011101 => [2,3,1,1] => 171
[1,8,5,2,6,3,4,7] => 0110100 => [1,2,1,1,2] => 241
[1,7,4,6,3,2,8,5] => 0101101 => [1,1,1,2,1,1] => 359
[1,6,3,2,8,5,4,7] => 0110110 => [1,2,1,2,1] => 281
[1,3,8,6,4,2,5,7] => 0011100 => [2,3,2] => 126
[1,5,7,4,2,3,8,6] => 0011001 => [2,2,2,1] => 211
[6,3,7,5,4,2,8,1] => 1011101 => [1,1,3,1,1] => 233
[7,5,2,6,3,4,8,1] => 1101001 => [2,1,1,2,1] => 241
[3,8,2,7,5,4,1,6] => 0101110 => [1,1,1,3,1] => 219
[5,4,8,6,7,1,2,3] => 1010100 => [1,1,1,1,1,2] => 297
[2,7,3,6,8,5,4,1] => 0100111 => [1,1,2,3] => 145
[3,7,2,8,1,6,4,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[8,5,2,4,6,7,3,1] => 1100011 => [2,3,2] => 126
[2,5,8,7,1,4,3,6] => 0011010 => [2,2,1,1,1] => 255
[3,4,6,5,8,2,7,1] => 0010101 => [2,1,1,1,1,1] => 297
[5,2,4,1,6,7,8,3] => 1010001 => [1,1,1,3,1] => 219
[4,2,7,1,6,8,3,5] => 1010010 => [1,1,1,2,1,1] => 359
[5,2,8,6,4,7,1,3] => 1011010 => [1,1,2,1,1,1] => 359
[6,1,3,4,7,2,8,5] => 1000101 => [1,3,1,1,1] => 219
[8,4,7,2,5,3,1,6] => 1010110 => [1,1,1,1,2,1] => 345
[8,3,4,5,2,1,7,6] => 1001101 => [1,2,2,1,1] => 295
[8,6,1,4,7,3,5,2] => 1100101 => [2,2,1,1,1] => 255
[5,3,6,7,2,8,4,1] => 1001011 => [1,2,1,1,2] => 241
[5,3,6,7,2,4,8,1] => 1001001 => [1,2,1,2,1] => 281
[8,6,4,2,7,1,5,3] => 1110101 => [3,1,1,1,1] => 165
[8,6,1,4,7,5,2,3] => 1100110 => [2,2,2,1] => 211
[1,5,8,2,6,7,4,3] => 0010011 => [2,1,2,2] => 180
[7,1,3,6,5,2,8,4] => 1001101 => [1,2,2,1,1] => 295
[8,2,1,4,5,7,6,3] => 1100011 => [2,3,2] => 126
[1,4,7,5,2,3,8,6] => 0011001 => [2,2,2,1] => 211
[6,1,7,5,4,2,8,3] => 1011101 => [1,1,3,1,1] => 233
[2,7,3,6,5,1,8,4] => 0101101 => [1,1,1,2,1,1] => 359
[8,6,5,1,3,7,4,2] => 1110011 => [3,2,2] => 105
[5,7,6,2,4,8,1,3] => 0110010 => [1,2,2,1,1] => 295
[3,7,5,6,4,8,1,2] => 0101010 => [1,1,1,1,1,1,1] => 429
[7,6,8,1,3,5,4,2] => 1010011 => [1,1,1,2,2] => 255
[2,8,4,6,1,7,5,3] => 0101011 => [1,1,1,1,1,2] => 297
[2,8,6,4,7,3,5,1] => 0110101 => [1,2,1,1,1,1] => 345
[8,7,1,4,6,5,3,2] => 1100111 => [2,2,3] => 105
[3,5,8,6,7,1,4,2] => 0010101 => [2,1,1,1,1,1] => 297
[1,2,4,6,8,5,3,7] => 0000110 => [4,2,1] => 65
[3,1,5,8,6,2,4,7] => 1001100 => [1,2,2,2] => 211
[2,5,4,6,8,1,3,7] => 0100100 => [1,1,2,1,2] => 252
[6,5,2,4,7,8,1,3] => 1100010 => [2,3,1,1] => 171
[7,2,5,8,6,4,1,3] => 1001110 => [1,2,3,1] => 185
[5,2,8,3,4,7,6,1] => 1010011 => [1,1,1,2,2] => 255
[2,4,3,8,7,1,6,5] => 0101101 => [1,1,1,2,1,1] => 359
[1,5,8,7,4,2,6,3] => 0011101 => [2,3,1,1] => 171
[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] => 1430
[5,6,4,7,3,9,2,8,1] => 01010101 => [1,1,1,1,1,1,1,1] => 1430
[5,3,4,8,6,2,7,1] => 1001101 => [1,2,2,1,1] => 295
[5,4,6,3,7,2,8,1,9] => 10101010 => [1,1,1,1,1,1,1,1] => 1430
[6,5,7,4,8,3,9,2,10,1] => 101010101 => [1,1,1,1,1,1,1,1,1] => 4862
[6,5,7,4,8,3,10,2,9,1] => 101010101 => [1,1,1,1,1,1,1,1,1] => 4862
[3,4,5,8,6,2,7,1] => 0001101 => [3,2,1,1] => 145
[5,6,4,7,3,8,2,9,1,10] => 010101010 => [1,1,1,1,1,1,1,1,1] => 4862
[5,4,2,3,6,1,8,7] => 1100101 => [2,2,1,1,1] => 255
[5,1,7,4,3,6,8,2] => 1011001 => [1,1,2,2,1] => 295
[4,3,7,6,8,2,1,5] => 1010110 => [1,1,1,1,2,1] => 345
[8,1,4,7,2,3,5,6] => 1001000 => [1,2,1,3] => 137
[6,1,8,5,2,7,3,4] => 1011010 => [1,1,2,1,1,1] => 359
[8,7,2,6,3,1,4,5] => 1101100 => [2,1,2,2] => 180
[8,7,1,6,4,5,2,3] => 1101010 => [2,1,1,1,1,1] => 297
[5,4,1,3,7,2,8,6] => 1100101 => [2,2,1,1,1] => 255
[8,3,4,7,6,2,1,5] => 1001110 => [1,2,3,1] => 185
[3,1,8,7,5,2,4,6] => 1011100 => [1,1,3,2] => 171
[6,5,8,7,2,4,3,1] => 1011011 => [1,1,2,1,2] => 252
[4,3,6,5,8,2,1,7] => 1010110 => [1,1,1,1,2,1] => 345
[7,6,3,2,8,5,4,1] => 1110111 => [3,1,3] => 69
[3,2,6,8,7,1,4,5] => 1001100 => [1,2,2,2] => 211
[4,3,7,1,8,5,2,6] => 1010110 => [1,1,1,1,2,1] => 345
[3,2,8,5,6,7,1,4] => 1010010 => [1,1,1,2,1,1] => 359
[8,3,2,1,4,7,5,6] => 1110010 => [3,2,1,1] => 145
[4,7,3,1,8,5,2,6] => 0110110 => [1,2,1,2,1] => 281
[3,7,8,2,5,6,1,4] => 0010010 => [2,1,2,1,1] => 252
[7,5,1,4,2,3,6,8] => 1101000 => [2,1,1,3] => 117
[7,8,6,1,2,4,5,3] => 0110001 => [1,2,3,1] => 185
[1,5,3,4,7,8,6,2] => 0100011 => [1,1,3,2] => 171
[5,1,2,4,7,8,6,3] => 1000011 => [1,4,2] => 81
[5,1,7,8,6,2,3,4] => 1001100 => [1,2,2,2] => 211
[8,5,1,6,7,2,3,4] => 1100100 => [2,2,1,2] => 180
[7,5,1,2,4,6,8,3] => 1100001 => [2,4,1] => 81
[6,1,5,2,7,3,4,8] => 1010100 => [1,1,1,1,1,2] => 297
[7,1,2,6,4,5,8,3] => 1001001 => [1,2,1,2,1] => 281
[1,7,3,6,4,5,8,2] => 0101001 => [1,1,1,1,2,1] => 345
[1,8,3,6,4,5,7,2] => 0101001 => [1,1,1,1,2,1] => 345
[8,1,6,2,7,3,4,5] => 1010100 => [1,1,1,1,1,2] => 297
[7,1,6,2,5,3,4,8] => 1010100 => [1,1,1,1,1,2] => 297
[8,1,6,2,5,3,4,7] => 1010100 => [1,1,1,1,1,2] => 297
[8,1,7,2,5,3,4,6] => 1010100 => [1,1,1,1,1,2] => 297
[8,1,2,7,4,5,6,3] => 1001001 => [1,2,1,2,1] => 281
[1,8,3,7,4,5,6,2] => 0101001 => [1,1,1,1,2,1] => 345
[8,1,6,7,5,2,3,4] => 1001100 => [1,2,2,2] => 211
[7,3,1,2,6,4,5,8] => 1100100 => [2,2,1,2] => 180
[3,1,2,8,5,6,7,4] => 1001001 => [1,2,1,2,1] => 281
[6,3,1,2,7,4,5,8] => 1100100 => [2,2,1,2] => 180
[6,1,7,4,2,3,5,8] => 1011000 => [1,1,2,3] => 145
[1,7,3,4,6,8,5,2] => 0100011 => [1,1,3,2] => 171
[1,7,3,8,4,5,6,2] => 0101001 => [1,1,1,1,2,1] => 345
[7,1,8,2,5,3,4,6] => 1010100 => [1,1,1,1,1,2] => 297
[6,1,7,2,5,3,4,8] => 1010100 => [1,1,1,1,1,2] => 297
[5,1,7,2,6,3,4,8] => 1010100 => [1,1,1,1,1,2] => 297
[5,1,8,2,6,3,4,7] => 1010100 => [1,1,1,1,1,2] => 297
[1,6,3,7,4,5,8,2] => 0101001 => [1,1,1,1,2,1] => 345
[2,4,7,3,5,1,6,8] => 0010100 => [2,1,1,1,2] => 207
[2,4,8,6,3,5,1,7] => 0011010 => [2,2,1,1,1] => 255
[2,3,7,5,4,1,6,8] => 0011100 => [2,3,2] => 126
[3,4,6,2,1,5,8,7] => 0011001 => [2,2,2,1] => 211
[3,4,7,2,1,6,5,8] => 0011010 => [2,2,1,1,1] => 255
[2,6,8,3,5,1,4,7] => 0010100 => [2,1,1,1,2] => 207
[2,3,6,1,5,8,4,7] => 0010010 => [2,1,2,1,1] => 252
[2,3,7,1,6,5,8,4] => 0010101 => [2,1,1,1,1,1] => 297
[2,4,7,1,3,6,8,5] => 0010001 => [2,1,3,1] => 157
[5,4,7,8,1,3,2,6] => 1001010 => [1,2,1,1,1,1] => 345
[2,5,7,1,4,6,3,8] => 0010010 => [2,1,2,1,1] => 252
[2,4,7,1,6,3,5,8] => 0010100 => [2,1,1,1,2] => 207
[2,3,7,1,6,5,4,8] => 0010110 => [2,1,1,2,1] => 241
[2,5,7,1,4,3,6,8] => 0010100 => [2,1,1,1,2] => 207
[2,5,7,3,1,4,6,8] => 0011000 => [2,2,3] => 105
[3,4,7,2,1,6,8,5] => 0011001 => [2,2,2,1] => 211
[4,6,3,7,1,5,2,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,7,3,2,8,1,4,6] => 0110100 => [1,2,1,1,2] => 241
[2,6,5,7,1,8,4,3] => 0101011 => [1,1,1,1,1,2] => 297
[3,6,8,5,4,1,7,2] => 0011101 => [2,3,1,1] => 171
[5,4,7,8,1,3,6,2] => 1001001 => [1,2,1,2,1] => 281
[2,5,7,1,4,6,8,3] => 0010001 => [2,1,3,1] => 157
[2,4,7,1,6,3,8,5] => 0010101 => [2,1,1,1,1,1] => 297
[2,4,7,1,6,8,3,5] => 0010010 => [2,1,2,1,1] => 252
[2,4,8,3,1,7,6,5] => 0011011 => [2,2,1,2] => 180
[1,8,3,4,5,6,7,9,2] => 01000001 => [1,1,5,1] => 170
[7,2,3,4,5,6,1,9,8] => 10000101 => [1,4,1,1,1] => 410
[2,1,9,4,5,6,7,8,3] => 10100001 => [1,1,1,4,1] => 410
[2,8,3,4,5,6,7,1,9] => 01000010 => [1,1,4,1,1] => 450
[8,6,5,1,2,4,3,7] => 1110010 => [3,2,1,1] => 145
[7,6,1,4,2,3,5,8] => 1101000 => [2,1,1,3] => 117
[6,5,1,4,8,3,2,7] => 1100110 => [2,2,2,1] => 211
[8,7,1,4,3,2,5,6] => 1101100 => [2,1,2,2] => 180
[8,7,5,1,4,2,3,6] => 1110100 => [3,1,1,2] => 117
[8,4,1,2,5,3,6,7] => 1100100 => [2,2,1,2] => 180
[8,6,1,4,2,5,3,7] => 1101010 => [2,1,1,1,1,1] => 297
[8,7,1,4,3,2,6,5] => 1101101 => [2,1,2,1,1] => 252
[8,7,6,3,1,5,4,2] => 1111011 => [4,1,2] => 55
[2,8,3,7,4,5,6,1] => 0101001 => [1,1,1,1,2,1] => 345
[8,7,5,2,4,3,6,1] => 1110101 => [3,1,1,1,1] => 165
[2,9,1,8,7,6,5,4,3] => 01011111 => [1,1,1,5] => 110
[2,9,8,1,7,6,5,4,3] => 01101111 => [1,2,1,4] => 235
[4,2,5,7,3,1,6,8] => 1001100 => [1,2,2,2] => 211
[8,2,4,5,3,1,6,7] => 1001100 => [1,2,2,2] => 211
[8,4,5,1,3,2,6,7] => 1010100 => [1,1,1,1,1,2] => 297
[4,3,7,5,2,1,6,8] => 1011100 => [1,1,3,2] => 171
[1,6,7,4,3,2,5,8] => 0011100 => [2,3,2] => 126
[1,4,5,7,3,2,6,8] => 0001100 => [3,2,2] => 105
[3,5,1,4,7,2,6,8] => 0100100 => [1,1,2,1,2] => 252
[2,5,1,4,7,8,3,6] => 0100010 => [1,1,3,1,1] => 233
[4,3,7,1,5,2,6,8] => 1010100 => [1,1,1,1,1,2] => 297
[3,5,1,6,4,2,7,8] => 0101100 => [1,1,1,2,2] => 255
[6,4,3,1,7,2,5,8] => 1110100 => [3,1,1,2] => 117
[6,2,7,4,3,1,5,8] => 1011100 => [1,1,3,2] => 171
[2,6,4,1,7,3,5,8] => 0110100 => [1,2,1,1,2] => 241
[6,3,2,7,4,5,1,8] => 1101010 => [2,1,1,1,1,1] => 297
[7,2,4,1,3,6,8,5] => 1010001 => [1,1,1,3,1] => 219
[6,3,2,5,7,1,4,8] => 1100100 => [2,2,1,2] => 180
[3,2,6,5,7,1,4,8] => 1010100 => [1,1,1,1,1,2] => 297
[1,7,3,2,5,6,4,8] => 0110010 => [1,2,2,1,1] => 295
[2,1,7,3,5,6,8,4] => 1010001 => [1,1,1,3,1] => 219
[2,1,6,3,5,7,8,4] => 1010001 => [1,1,1,3,1] => 219
[1,6,3,2,5,7,4,8] => 0110010 => [1,2,2,1,1] => 295
[1,4,6,5,2,7,3,8] => 0011010 => [2,2,1,1,1] => 255
[5,6,2,1,4,3,7,8] => 0110100 => [1,2,1,1,2] => 241
[2,5,1,6,4,3,7,8] => 0101100 => [1,1,1,2,2] => 255
[2,5,4,1,6,3,7,8] => 0110100 => [1,2,1,1,2] => 241
[4,6,1,5,2,7,3,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,6,5,3,7,2,4,8] => 0110100 => [1,2,1,1,2] => 241
[1,2,5,4,7,3,6,8] => 0010100 => [2,1,1,1,2] => 207
[1,2,5,3,4,8,7,6] => 0010011 => [2,1,2,2] => 180
[5,2,7,6,1,8,4,3] => 1011011 => [1,1,2,1,2] => 252
[5,8,2,6,1,7,4,3] => 0101011 => [1,1,1,1,1,2] => 297
[1,7,8,2,4,6,5,3] => 0010011 => [2,1,2,2] => 180
[1,5,8,3,6,2,7,4] => 0010101 => [2,1,1,1,1,1] => 297
[6,8,7,1,4,5,2,3] => 0110010 => [1,2,2,1,1] => 295
[1,2,6,4,7,3,8,5] => 0010101 => [2,1,1,1,1,1] => 297
[1,2,7,8,3,5,6,4] => 0001001 => [3,1,2,1] => 137
[4,8,7,6,2,1,5,3] => 0111101 => [1,4,1,1] => 107
[2,7,4,5,8,1,6,3] => 0100101 => [1,1,2,1,1,1] => 359
[2,6,1,8,5,4,3,7] => 0101110 => [1,1,1,3,1] => 219
[5,8,6,2,3,4,1,7] => 0110010 => [1,2,2,1,1] => 295
[4,5,8,6,2,1,3,7] => 0011100 => [2,3,2] => 126
[6,4,7,5,8,2,1,3] => 1010110 => [1,1,1,1,2,1] => 345
[6,3,7,4,2,5,8,1] => 1011001 => [1,1,2,2,1] => 295
[6,2,1,5,8,4,3,7] => 1100110 => [2,2,2,1] => 211
[7,5,6,2,4,3,8,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,6,2,5,7,3,8,1] => 0100101 => [1,1,2,1,1,1] => 359
[4,2,8,5,3,6,1,7] => 1011010 => [1,1,2,1,1,1] => 359
[8,1,7,4,5,6,2,3] => 1010010 => [1,1,1,2,1,1] => 359
[2,1,7,8,4,5,6,3] => 1001001 => [1,2,1,2,1] => 281
[8,2,1,4,3,7,6,5] => 1101011 => [2,1,1,1,2] => 207
[7,6,5,3,1,2,8,4] => 1111001 => [4,2,1] => 65
[5,4,1,6,2,8,3,7] => 1101010 => [2,1,1,1,1,1] => 297
[6,2,3,1,7,8,4,5] => 1010010 => [1,1,1,2,1,1] => 359
[3,1,8,6,7,2,4,5] => 1010100 => [1,1,1,1,1,2] => 297
[4,2,5,1,8,6,7,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,5,3,7,1,6,8,2] => 0101001 => [1,1,1,1,2,1] => 345
[4,2,8,5,3,6,7,1] => 1011001 => [1,1,2,2,1] => 295
[2,8,6,3,5,4,7,1] => 0110101 => [1,2,1,1,1,1] => 345
[3,5,2,8,6,4,7,1] => 0101101 => [1,1,1,2,1,1] => 359
[7,3,5,1,6,4,8,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,1,4,7,2,6,8,3] => 1001001 => [1,2,1,2,1] => 281
[1,8,2,5,6,4,7,3] => 0100101 => [1,1,2,1,1,1] => 359
[2,7,1,4,8,5,6,3] => 0100101 => [1,1,2,1,1,1] => 359
[2,8,4,6,1,3,7,5] => 0101001 => [1,1,1,1,2,1] => 345
[8,4,6,2,5,3,7,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,3,7,6,2,1,5,4] => 1011101 => [1,1,3,1,1] => 233
[8,5,2,7,6,1,4,3] => 1101101 => [2,1,2,1,1] => 252
[5,8,2,7,6,1,4,3] => 0101101 => [1,1,1,2,1,1] => 359
[8,3,7,6,2,5,1,4] => 1011010 => [1,1,2,1,1,1] => 359
[7,3,8,6,5,1,4,2] => 1011101 => [1,1,3,1,1] => 233
[9,8,7,6,1,2,3,4,5,10] => 111100000 => [4,5] => 126
[2,6,3,7,5,4,8,1] => 0101101 => [1,1,1,2,1,1] => 359
[5,4,7,1,3,8,6,2] => 1010011 => [1,1,1,2,2] => 255
[2,8,5,1,4,7,3,6] => 0110010 => [1,2,2,1,1] => 295
[8,1,4,2,5,7,3,6] => 1010010 => [1,1,1,2,1,1] => 359
[7,2,6,5,8,4,3,1] => 1010111 => [1,1,1,1,3] => 165
[3,4,8,5,6,2,7,1] => 0010101 => [2,1,1,1,1,1] => 297
[5,8,2,3,4,6,1,7] => 0100010 => [1,1,3,1,1] => 233
[6,1,3,4,2,5,7,8] => 1001000 => [1,2,1,3] => 137
[1,5,6,3,2,4,7,8] => 0011000 => [2,2,3] => 105
[6,3,5,2,4,1,7,8] => 1010100 => [1,1,1,1,1,2] => 297
[7,8,3,5,2,4,6,1] => 0101001 => [1,1,1,1,2,1] => 345
[2,4,5,7,3,6,1,8] => 0001010 => [3,1,1,1,1] => 165
[2,5,3,1,6,4,7,8] => 0110100 => [1,2,1,1,2] => 241
[6,5,1,3,4,2,7,8] => 1100100 => [2,2,1,2] => 180
[5,7,4,3,2,6,1,8] => 0111010 => [1,3,1,1,1] => 219
[6,8,7,4,3,5,1,2] => 0111010 => [1,3,1,1,1] => 219
[2,6,7,8,4,3,5,1] => 0001101 => [3,2,1,1] => 145
[1,7,8,4,5,3,6,2] => 0010101 => [2,1,1,1,1,1] => 297
[7,1,8,5,3,4,6,2] => 1011001 => [1,1,2,2,1] => 295
[5,7,4,2,1,6,3,8] => 0111010 => [1,3,1,1,1] => 219
[5,1,4,7,3,6,2,8] => 1001010 => [1,2,1,1,1,1] => 345
[7,4,8,6,3,5,2,1] => 1011011 => [1,1,2,1,2] => 252
[4,7,6,3,5,2,1,8] => 0110110 => [1,2,1,2,1] => 281
[1,6,5,8,7,4,2,3] => 0101110 => [1,1,1,3,1] => 219
[6,1,3,8,7,5,2,4] => 1001110 => [1,2,3,1] => 185
[7,6,2,1,8,3,5,4] => 1110101 => [3,1,1,1,1] => 165
[7,1,3,6,8,2,5,4] => 1000101 => [1,3,1,1,1] => 219
[1,7,5,6,8,2,4,3] => 0100101 => [1,1,2,1,1,1] => 359
[3,6,7,5,8,2,4,1] => 0010101 => [2,1,1,1,1,1] => 297
[1,7,4,5,2,8,6,3] => 0101011 => [1,1,1,1,1,2] => 297
[7,5,4,2,1,8,6,3] => 1111011 => [4,1,2] => 55
[3,6,7,4,2,8,5,1] => 0011011 => [2,2,1,2] => 180
[4,6,3,2,7,8,5,1] => 0110011 => [1,2,2,2] => 211
[7,6,1,3,4,2,5,8] => 1100100 => [2,2,1,2] => 180
[7,8,2,6,4,5,3,1] => 0101011 => [1,1,1,1,1,2] => 297
[7,2,5,4,6,1,3,8] => 1010100 => [1,1,1,1,1,2] => 297
[7,1,2,4,5,6,3,8] => 1000010 => [1,4,1,1] => 107
[7,3,2,1,5,6,4,8] => 1110010 => [3,2,1,1] => 145
[3,6,2,1,7,5,4,8] => 0110110 => [1,2,1,2,1] => 281
[2,6,7,3,1,5,4,8] => 0011010 => [2,2,1,1,1] => 255
[2,1,6,4,7,5,3,8] => 1010110 => [1,1,1,1,2,1] => 345
[7,2,8,5,6,4,3,1] => 1010111 => [1,1,1,1,3] => 165
[7,6,8,5,4,1,3,2] => 1011101 => [1,1,3,1,1] => 233
[7,1,8,4,6,5,3,2] => 1010111 => [1,1,1,1,3] => 165
[7,8,6,3,1,5,4,2] => 0111011 => [1,3,1,2] => 157
[7,6,1,4,5,3,2,8] => 1100110 => [2,2,2,1] => 211
[7,1,5,6,4,3,2,8] => 1001110 => [1,2,3,1] => 185
[4,1,3,8,6,2,7,5] => 1001101 => [1,2,2,1,1] => 295
[5,1,2,8,4,6,7,3] => 1001001 => [1,2,1,2,1] => 281
[5,6,3,2,8,1,7,4] => 0110101 => [1,2,1,1,1,1] => 345
[8,2,6,3,1,5,7,4] => 1011001 => [1,1,2,2,1] => 295
[8,2,5,6,7,4,3,1] => 1000111 => [1,3,3] => 95
[8,2,5,3,4,7,6,1] => 1010011 => [1,1,1,2,2] => 255
[7,5,3,2,4,1,8,6] => 1110101 => [3,1,1,1,1] => 165
[7,1,2,3,6,8,4,5] => 1000010 => [1,4,1,1] => 107
[6,7,2,8,3,4,5,1] => 0101001 => [1,1,1,1,2,1] => 345
[3,1,8,4,6,5,7,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,1,2,3,8,4,7,5] => 1000101 => [1,3,1,1,1] => 219
[8,1,6,7,4,2,3,5] => 1001100 => [1,2,2,2] => 211
[8,1,6,4,5,2,3,7] => 1010100 => [1,1,1,1,1,2] => 297
[8,6,4,7,2,3,5,1] => 1101001 => [2,1,1,2,1] => 241
[8,6,4,1,2,3,7,5] => 1110001 => [3,3,1] => 95
[8,6,1,4,2,5,7,3] => 1101001 => [2,1,1,2,1] => 241
[8,6,7,4,2,5,1,3] => 1011010 => [1,1,2,1,1,1] => 359
[8,6,4,2,5,3,7,1] => 1110101 => [3,1,1,1,1] => 165
[8,6,4,2,5,3,1,7] => 1110110 => [3,1,2,1] => 137
[8,6,4,2,7,3,1,5] => 1110110 => [3,1,2,1] => 137
[8,6,4,1,5,7,2,3] => 1110010 => [3,2,1,1] => 145
[8,6,4,2,1,5,7,3] => 1111001 => [4,2,1] => 65
[8,6,4,2,1,7,3,5] => 1111010 => [4,1,1,1] => 75
[8,6,1,4,7,2,5,3] => 1100101 => [2,2,1,1,1] => 255
[8,6,4,1,5,2,3,7] => 1110100 => [3,1,1,2] => 117
[8,6,7,1,4,5,2,3] => 1010010 => [1,1,1,2,1,1] => 359
[8,6,4,5,2,7,3,1] => 1101011 => [2,1,1,1,2] => 207
[8,6,7,4,2,1,5,3] => 1011101 => [1,1,3,1,1] => 233
[8,6,4,7,2,1,5,3] => 1101101 => [2,1,2,1,1] => 252
[8,6,4,2,5,7,3,1] => 1110011 => [3,2,2] => 105
[8,6,4,2,5,1,7,3] => 1110101 => [3,1,1,1,1] => 165
[8,6,4,2,5,7,1,3] => 1110010 => [3,2,1,1] => 145
[3,4,7,5,8,2,6,1] => 0010101 => [2,1,1,1,1,1] => 297
[8,7,1,4,6,5,2,3] => 1100110 => [2,2,2,1] => 211
[8,3,7,6,4,5,1,2] => 1011010 => [1,1,2,1,1,1] => 359
[5,3,8,6,4,1,7,2] => 1011101 => [1,1,3,1,1] => 233
[8,10,1,2,3,4,5,9,6,7] => 010000010 => [1,1,5,1,1] => 794
[10,8,1,9,2,3,4,5,6,7] => 110100000 => [2,1,1,5] => 319
[8,7,1,2,3,4,5,9,10,6] => 110000001 => [2,6,1] => 204
[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
[2,10,1,5,6,7,8,9,3,4] => 010000010 => [1,1,5,1,1] => 794
[7,4,5,1,2,8,6,3] => 1010011 => [1,1,1,2,2] => 255
[6,4,7,1,8,5,2,3] => 1010110 => [1,1,1,1,2,1] => 345
[5,7,4,2,3,8,6,1] => 0110011 => [1,2,2,2] => 211
[3,8,2,5,1,7,4,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,8,4,2,3,7,1,6] => 0110010 => [1,2,2,1,1] => 295
[4,8,5,2,1,7,3,6] => 0111010 => [1,3,1,1,1] => 219
[8,5,7,6,1,2,4,3] => 1011001 => [1,1,2,2,1] => 295
[6,8,7,5,2,4,1,3] => 0111010 => [1,3,1,1,1] => 219
[5,7,6,8,4,1,3,2] => 0101101 => [1,1,1,2,1,1] => 359
[7,3,1,6,8,5,4,2] => 1100111 => [2,2,3] => 105
[5,3,1,7,4,8,6,2] => 1101011 => [2,1,1,1,2] => 207
[7,3,1,8,6,4,5,2] => 1101101 => [2,1,2,1,1] => 252
[8,6,4,1,7,3,2,5] => 1110110 => [3,1,2,1] => 137
[4,6,8,3,7,1,2,5] => 0010100 => [2,1,1,1,2] => 207
[3,5,2,8,4,7,1,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[6,4,8,3,7,2,1,5] => 1010110 => [1,1,1,1,2,1] => 345
[3,6,2,8,7,4,1,5] => 0101110 => [1,1,1,3,1] => 219
[6,8,4,2,7,3,1,5] => 0110110 => [1,2,1,2,1] => 281
[9,8,2,3,4,5,6,7,1] => 11000001 => [2,5,1] => 133
[8,9,2,3,4,5,6,7,1] => 01000001 => [1,1,5,1] => 170
[9,8,7,6,4,5,3,2,1] => 11110111 => [4,1,3] => 125
[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] => 200
[10,9,2,3,4,5,6,7,8,1] => 110000001 => [2,6,1] => 204
[3,4,7,8,5,1,2,6] => 0001100 => [3,2,2] => 105
[4,7,3,2,5,6,8,1] => 0110001 => [1,2,3,1] => 185
[3,2,7,6,4,5,8,1] => 1011001 => [1,1,2,2,1] => 295
[1,7,3,6,8,4,2,5] => 0100110 => [1,1,2,2,1] => 295
[2,3,6,5,1,8,7,4] => 0011011 => [2,2,1,2] => 180
[8,3,1,2,6,4,7,5] => 1100101 => [2,2,1,1,1] => 255
[1,7,8,2,4,3,5,6] => 0010100 => [2,1,1,1,2] => 207
[3,6,4,7,1,2,8,5] => 0101001 => [1,1,1,1,2,1] => 345
[5,7,4,8,1,3,2,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,3,7,8,1,5,2,6] => 1001010 => [1,2,1,1,1,1] => 345
[8,5,4,2,6,1,7,3] => 1110101 => [3,1,1,1,1] => 165
[3,2,6,8,7,4,1,5] => 1001110 => [1,2,3,1] => 185
[2,3,7,5,1,8,6,4] => 0011011 => [2,2,1,2] => 180
[6,3,1,2,8,7,4,5] => 1100110 => [2,2,2,1] => 211
[5,2,1,3,8,7,6,4] => 1100111 => [2,2,3] => 105
[7,2,1,5,3,8,4,6] => 1101010 => [2,1,1,1,1,1] => 297
[1,5,8,2,4,3,6,7] => 0010100 => [2,1,1,1,2] => 207
[4,3,6,8,1,5,2,7] => 1001010 => [1,2,1,1,1,1] => 345
[5,4,6,8,3,1,7,2] => 1001101 => [1,2,2,1,1] => 295
[3,6,8,4,5,1,7,2] => 0010101 => [2,1,1,1,1,1] => 297
[8,6,1,7,2,4,3,5] => 1101010 => [2,1,1,1,1,1] => 297
[7,3,1,2,8,6,4,5] => 1100110 => [2,2,2,1] => 211
[2,3,7,6,1,8,5,4] => 0011011 => [2,2,1,2] => 180
[3,2,7,8,6,4,1,5] => 1001110 => [1,2,3,1] => 185
[6,2,8,3,1,4,7,5] => 1011001 => [1,1,2,2,1] => 295
[3,1,2,8,7,4,5,6] => 1001100 => [1,2,2,2] => 211
[2,1,3,8,7,4,6,5] => 1001101 => [1,2,2,1,1] => 295
[2,1,3,8,7,4,5,6] => 1001100 => [1,2,2,2] => 211
[1,6,8,3,2,4,7,5] => 0011001 => [2,2,2,1] => 211
[8,5,1,7,2,4,3,6] => 1101010 => [2,1,1,1,1,1] => 297
[8,4,1,7,3,2,5,6] => 1101100 => [2,1,2,2] => 180
[8,3,1,6,2,7,5,4] => 1101011 => [2,1,1,1,2] => 207
[1,3,2,8,7,6,4,5] => 0101110 => [1,1,1,3,1] => 219
[2,1,3,8,7,6,4,5] => 1001110 => [1,2,3,1] => 185
[2,4,3,1,6,5,8,7,10,9] => 011010101 => [1,2,1,1,1,1,1,1] => 4004
[1,6,3,7,2,5,4,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,7,2,4,6,3,5,8] => 0100100 => [1,1,2,1,2] => 252
[5,7,2,8,4,1,3,6] => 0101100 => [1,1,1,2,2] => 255
[5,6,2,8,4,1,3,7] => 0101100 => [1,1,1,2,2] => 255
[2,4,8,3,1,6,7,5] => 0011001 => [2,2,2,1] => 211
[3,5,8,4,2,1,6,7] => 0011100 => [2,3,2] => 126
[2,5,8,3,1,4,6,7] => 0011000 => [2,2,3] => 105
[2,8,1,3,5,7,4,6] => 0100010 => [1,1,3,1,1] => 233
[5,4,7,8,3,2,6,1] => 1001101 => [1,2,2,1,1] => 295
[3,6,8,2,5,1,4,7] => 0010100 => [2,1,1,1,2] => 207
[3,6,8,7,2,5,4,1] => 0011011 => [2,2,1,2] => 180
[3,4,6,5,8,2,1,7] => 0010110 => [2,1,1,2,1] => 241
[2,4,6,7,8,3,5,1] => 0000101 => [4,1,1,1] => 75
[1,4,2,5,7,6,3,8] => 0100110 => [1,1,2,2,1] => 295
[1,4,2,6,8,5,3,7] => 0100110 => [1,1,2,2,1] => 295
[1,2,6,8,3,5,4,7] => 0001010 => [3,1,1,1,1] => 165
[1,6,8,3,5,4,2,7] => 0010110 => [2,1,1,2,1] => 241
[1,5,3,2,4,6,8,7] => 0110001 => [1,2,3,1] => 185
[1,5,8,7,6,3,2,4] => 0011110 => [2,4,1] => 81
[1,5,7,6,3,2,4,8] => 0011100 => [2,3,2] => 126
[1,6,3,2,4,7,5,8] => 0110010 => [1,2,2,1,1] => 295
[1,6,3,2,4,8,7,5] => 0110011 => [1,2,2,2] => 211
[1,2,7,6,4,3,5,8] => 0011100 => [2,3,2] => 126
[1,8,7,5,2,4,6,3] => 0111001 => [1,3,2,1] => 185
[1,7,5,2,4,6,3,8] => 0110010 => [1,2,2,1,1] => 295
[1,7,4,2,5,3,6,8] => 0110100 => [1,2,1,1,2] => 241
[1,8,4,7,5,2,6,3] => 0101101 => [1,1,1,2,1,1] => 359
[1,7,5,2,3,6,4,8] => 0110010 => [1,2,2,1,1] => 295
[1,7,5,2,6,3,4,8] => 0110100 => [1,2,1,1,2] => 241
[1,6,3,7,4,2,5,8] => 0101100 => [1,1,1,2,2] => 255
[1,6,3,2,7,5,4,8] => 0110110 => [1,2,1,2,1] => 281
[1,4,7,5,2,6,3,8] => 0011010 => [2,2,1,1,1] => 255
[1,3,6,4,8,7,5,2] => 0010111 => [2,1,1,3] => 117
[1,3,7,6,4,2,5,8] => 0011100 => [2,3,2] => 126
[1,3,2,4,8,5,7,6] => 0100101 => [1,1,2,1,1,1] => 359
[1,3,8,7,5,2,4,6] => 0011100 => [2,3,2] => 126
[1,4,6,3,2,7,5,8] => 0011010 => [2,2,1,1,1] => 255
[1,4,6,3,2,8,7,5] => 0011011 => [2,2,1,2] => 180
[1,5,7,6,4,2,3,8] => 0011100 => [2,3,2] => 126
[1,6,3,2,8,4,7,5] => 0110101 => [1,2,1,1,1,1] => 345
[1,6,3,5,2,7,4,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,6,3,5,2,8,7,4] => 0101011 => [1,1,1,1,1,2] => 297
[1,8,3,7,5,2,4,6] => 0101100 => [1,1,1,2,2] => 255
[7,8,4,9,5,2,10,6,3,1] => 010110111 => [1,1,1,2,1,3] => 1806
[6,4,7,1,5,3,8,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,3,8,2,6,4,7,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,3,8,2,6,5,7,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[2,6,1,8,3,4,7,5] => 0101001 => [1,1,1,1,2,1] => 345
[5,7,1,4,8,2,3,6] => 0100100 => [1,1,2,1,2] => 252
[6,5,7,1,4,3,8,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,8,3,5,7,6,1,2] => 0100110 => [1,1,2,2,1] => 295
[5,7,6,1,2,4,8,3] => 0110001 => [1,2,3,1] => 185
[4,8,3,5,7,6,2,1] => 0100111 => [1,1,2,3] => 145
[1,3,4,2,8,5,7,6] => 0010101 => [2,1,1,1,1,1] => 297
[5,7,6,2,4,8,3,1] => 0110011 => [1,2,2,2] => 211
[6,7,5,2,3,8,4,1] => 0110011 => [1,2,2,2] => 211
[6,7,5,3,8,4,2,1] => 0110111 => [1,2,1,3] => 137
[3,2,1,4,8,5,7,6] => 1100101 => [2,2,1,1,1] => 255
[7,3,1,4,2,6,5,8] => 1101010 => [2,1,1,1,1,1] => 297
[7,4,1,6,2,5,3,8] => 1101010 => [2,1,1,1,1,1] => 297
[5,4,1,8,2,6,3,7] => 1101010 => [2,1,1,1,1,1] => 297
[5,3,1,8,2,6,4,7] => 1101010 => [2,1,1,1,1,1] => 297
[4,7,1,5,2,6,3,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[6,5,1,4,2,7,3,8] => 1101010 => [2,1,1,1,1,1] => 297
[1,8,7,3,4,5,2,6] => 0110010 => [1,2,2,1,1] => 295
[1,8,9,3,4,5,6,7,2] => 00100001 => [2,1,4,1] => 303
[1,8,7,4,5,2,3,6] => 0110100 => [1,2,1,1,2] => 241
[1,2,6,8,7,3,4,5] => 0001100 => [3,2,2] => 105
[1,3,7,8,4,5,6,2] => 0001001 => [3,1,2,1] => 137
[8,4,2,3,1,6,5,7] => 1101010 => [2,1,1,1,1,1] => 297
[6,4,5,2,8,1,7,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,8,6,2,3,1,7,5] => 0110101 => [1,2,1,1,1,1] => 345
[6,4,2,1,8,5,3,7] => 1110110 => [3,1,2,1] => 137
[4,2,6,1,5,8,3,7] => 1010010 => [1,1,1,2,1,1] => 359
[6,4,2,3,5,8,1,7] => 1100010 => [2,3,1,1] => 171
[2,8,6,4,5,1,7,3] => 0110101 => [1,2,1,1,1,1] => 345
[8,2,4,6,7,1,5,3] => 1000101 => [1,3,1,1,1] => 219
[2,6,3,1,7,4,8,5] => 0110101 => [1,2,1,1,1,1] => 345
[6,5,1,8,3,2,7,4] => 1101101 => [2,1,2,1,1] => 252
[1,4,3,7,2,8,6,5] => 0101011 => [1,1,1,1,1,2] => 297
[1,8,7,4,5,3,2,6] => 0110110 => [1,2,1,2,1] => 281
[2,8,3,1,4,5,7,6] => 0110001 => [1,2,3,1] => 185
[3,2,6,7,8,4,5,1] => 1000101 => [1,3,1,1,1] => 219
[1,7,4,6,3,8,2,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,6,4,1,3,8,2,7] => 0110010 => [1,2,2,1,1] => 295
[4,5,3,1,8,7,6,2] => 0110111 => [1,2,1,3] => 137
[6,3,4,2,7,8,5,1] => 1010011 => [1,1,1,2,2] => 255
[8,7,4,5,1,6,3,2] => 1101011 => [2,1,1,1,2] => 207
[6,2,7,8,1,3,5,4] => 1001001 => [1,2,1,2,1] => 281
[5,1,8,4,3,7,2,6] => 1011010 => [1,1,2,1,1,1] => 359
[7,2,8,1,4,5,6,3] => 1010001 => [1,1,1,3,1] => 219
[1,4,8,2,5,6,7,3] => 0010001 => [2,1,3,1] => 157
[2,1,4,3,6,5,8,10,9,7] => 101010011 => [1,1,1,1,1,2,2] => 3036
[2,1,4,3,6,8,7,5,10,9] => 101001101 => [1,1,1,2,2,1,1] => 3754
[2,1,4,3,8,10,7,9,5,6] => 101001010 => [1,1,1,2,1,1,1,1] => 4274
[2,1,4,3,6,7,10,8,9,5] => 101000101 => [1,1,1,3,1,1,1] => 3098
[2,1,4,6,5,3,8,7,10,9] => 100110101 => [1,2,2,1,1,1,1] => 3584
[2,1,4,6,5,3,8,10,9,7] => 100110011 => [1,2,2,2,2] => 2306
[2,1,6,8,5,7,3,4,10,9] => 100101001 => [1,2,1,1,1,2,1] => 3314
[2,1,8,7,5,10,4,9,3,6] => 101101010 => [1,1,2,1,1,1,1,1] => 4202
[2,1,6,7,5,10,8,4,9,3] => 100101101 => [1,2,1,1,2,1,1] => 3484
[2,1,4,5,8,6,7,3,10,9] => 100010101 => [1,3,1,1,1,1,1] => 2717
[2,1,8,5,10,6,7,9,3,4] => 101010010 => [1,1,1,1,1,2,1,1] => 4202
[2,1,4,7,10,6,9,8,3,5] => 100010110 => [1,3,1,1,2,1] => 2279
[2,1,4,5,6,10,7,8,9,3] => 100001001 => [1,4,1,2,1] => 1315
[2,4,3,1,6,5,8,10,9,7] => 011010011 => [1,2,1,1,2,2] => 2526
[2,4,3,1,6,8,7,5,10,9] => 011001101 => [1,2,2,2,1,1] => 3164
[2,4,3,1,8,10,7,9,5,6] => 011001010 => [1,2,2,1,1,1,1] => 3584
[2,4,3,1,6,7,10,8,9,5] => 011000101 => [1,2,3,1,1,1] => 2660
[4,6,3,5,1,2,8,7,10,9] => 010100101 => [1,1,1,1,2,1,1,1] => 4274
[4,6,3,5,1,2,8,10,9,7] => 010100011 => [1,1,1,1,3,2] => 2244
[6,5,3,8,2,7,1,4,10,9] => 110101001 => [2,1,1,1,1,2,1] => 2838
[8,5,3,7,2,10,4,9,1,6] => 110101010 => [2,1,1,1,1,1,1,1] => 3432
[6,5,3,7,2,10,8,4,9,1] => 110101101 => [2,1,1,1,2,1,1] => 2982
[4,5,3,8,6,2,7,1,10,9] => 010110101 => [1,1,1,2,1,1,1,1] => 4274
[8,6,3,5,10,2,7,9,1,4] => 110010010 => [2,2,1,2,1,1] => 2661
[4,7,3,6,10,1,9,8,2,5] => 010010110 => [1,1,2,1,1,2,1] => 3484
[4,5,3,6,10,7,1,8,9,2] => 010011001 => [1,1,2,2,2,1] => 3164
[2,3,6,4,5,1,8,7,10,9] => 001010101 => [2,1,1,1,1,1,1,1] => 3432
[2,3,6,4,5,1,8,10,9,7] => 001010011 => [2,1,1,1,2,2] => 2161
[6,3,8,4,5,7,1,2,10,9] => 101001001 => [1,1,1,2,1,2,1] => 3556
[8,3,7,4,5,10,2,9,1,6] => 101001010 => [1,1,1,2,1,1,1,1] => 4274
[6,3,7,4,5,10,8,2,9,1] => 101001101 => [1,1,1,2,2,1,1] => 3754
[2,5,8,4,7,6,1,3,10,9] => 001011001 => [2,1,1,2,2,1] => 2558
[8,5,10,4,7,6,2,9,1,3] => 101011010 => [1,1,1,1,2,1,1,1] => 4274
[2,7,10,4,8,6,9,5,1,3] => 001010110 => [2,1,1,1,1,2,1] => 2838
[2,5,6,4,10,8,7,3,9,1] => 001011101 => [2,1,1,3,1,1] => 2172
[2,3,4,8,5,6,7,1,10,9] => 000100101 => [3,1,2,1,1,1] => 1806
[8,3,4,10,5,6,7,9,1,2] => 100100010 => [1,2,1,3,1,1] => 2548
[2,7,4,10,5,6,9,8,1,3] => 010100110 => [1,1,1,1,2,2,1] => 3584
[2,3,6,10,5,9,7,8,1,4] => 000101010 => [3,1,1,1,1,1,1] => 2002
[2,3,4,5,10,6,7,8,9,1] => 000010001 => [4,1,3,1] => 626
[8,1,6,7,2,5,4,3] => 1001011 => [1,2,1,1,2] => 241
[7,5,2,3,6,8,4,1] => 1100011 => [2,3,2] => 126
[8,1,4,6,5,3,2,7] => 1001110 => [1,2,3,1] => 185
[8,1,4,7,6,5,2,3] => 1001110 => [1,2,3,1] => 185
[8,1,2,7,6,5,4,3] => 1001111 => [1,2,4] => 65
[4,5,8,1,6,7,2,3] => 0010010 => [2,1,2,1,1] => 252
[3,7,2,5,8,4,6,1] => 0100101 => [1,1,2,1,1,1] => 359
[6,7,8,4,1,5,2,3] => 0011010 => [2,2,1,1,1] => 255
[6,2,8,3,5,1,4,7] => 1010100 => [1,1,1,1,1,2] => 297
[6,2,7,4,5,3,1,8] => 1010110 => [1,1,1,1,2,1] => 345
[6,8,2,5,3,4,1,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[6,8,7,5,4,1,2,3] => 0111100 => [1,4,2] => 81
[7,4,5,6,1,8,2,3] => 1001010 => [1,2,1,1,1,1] => 345
[6,3,5,2,8,1,7,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,1,8,7,4,5,2,3] => 1011010 => [1,1,2,1,1,1] => 359
[4,8,7,1,6,3,2,5] => 0110110 => [1,2,1,2,1] => 281
[4,8,2,7,5,3,6,1] => 0101101 => [1,1,1,2,1,1] => 359
[1,3,2,6,8,7,4,5] => 0100110 => [1,1,2,2,1] => 295
[1,3,8,2,5,4,6,7] => 0010100 => [2,1,1,1,2] => 207
[1,6,2,5,8,7,3,4] => 0100110 => [1,1,2,2,1] => 295
[1,6,8,7,2,3,5,4] => 0011001 => [2,2,2,1] => 211
[1,6,8,7,2,5,3,4] => 0011010 => [2,2,1,1,1] => 255
[1,5,2,4,8,3,6,7] => 0100100 => [1,1,2,1,2] => 252
[1,2,4,5,8,6,3,7] => 0000110 => [4,2,1] => 65
[1,2,8,3,5,4,7,6] => 0010101 => [2,1,1,1,1,1] => 297
[1,3,8,2,5,4,7,6] => 0010101 => [2,1,1,1,1,1] => 297
[1,6,7,5,2,4,8,3] => 0011001 => [2,2,2,1] => 211
[1,5,6,4,7,2,3,8] => 0010100 => [2,1,1,1,2] => 207
[1,7,4,2,5,8,3,6] => 0110010 => [1,2,2,1,1] => 295
[1,6,4,3,7,5,2,8] => 0110110 => [1,2,1,2,1] => 281
[1,6,5,4,7,2,3,8] => 0110100 => [1,2,1,1,2] => 241
[1,7,3,2,6,4,8,5] => 0110101 => [1,2,1,1,1,1] => 345
[1,5,8,2,3,6,7,4] => 0010001 => [2,1,3,1] => 157
[1,3,2,6,8,5,4,7] => 0100110 => [1,1,2,2,1] => 295
[1,6,3,2,7,4,5,8] => 0110100 => [1,2,1,1,2] => 241
[1,7,8,5,4,2,3,6] => 0011100 => [2,3,2] => 126
[1,8,4,2,3,6,5,7] => 0110010 => [1,2,2,1,1] => 295
[1,4,2,7,5,3,8,6] => 0101101 => [1,1,1,2,1,1] => 359
[1,5,7,6,2,4,3,8] => 0011010 => [2,2,1,1,1] => 255
[1,8,4,7,3,2,6,5] => 0101101 => [1,1,1,2,1,1] => 359
[1,3,8,4,2,6,5,7] => 0011010 => [2,2,1,1,1] => 255
[1,7,4,2,6,5,8,3] => 0110101 => [1,2,1,1,1,1] => 345
[1,6,5,8,3,7,4,2] => 0101011 => [1,1,1,1,1,2] => 297
[1,7,4,8,3,2,5,6] => 0101100 => [1,1,1,2,2] => 255
[1,4,8,3,2,7,5,6] => 0011010 => [2,2,1,1,1] => 255
[1,8,3,6,4,5,2,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,6,4,7,3,2,8,5] => 0101101 => [1,1,1,2,1,1] => 359
[8,2,3,7,4,5,6,1] => 1001001 => [1,2,1,2,1] => 281
[8,5,7,2,3,6,4,1] => 1010011 => [1,1,1,2,2] => 255
[7,5,2,1,6,8,3,4] => 1110010 => [3,2,1,1] => 145
[7,6,1,5,4,8,2,3] => 1101010 => [2,1,1,1,1,1] => 297
[7,6,3,2,1,8,4,5] => 1111010 => [4,1,1,1] => 75
[2,8,7,3,4,6,1,5] => 0110010 => [1,2,2,1,1] => 295
[6,5,1,3,7,2,8,4] => 1100101 => [2,2,1,1,1] => 255
[8,1,7,3,4,5,2,6] => 1010010 => [1,1,1,2,1,1] => 359
[7,1,8,3,4,5,2,6] => 1010010 => [1,1,1,2,1,1] => 359
[6,8,7,3,4,2,1,5] => 0110110 => [1,2,1,2,1] => 281
[3,8,7,1,2,4,5,6] => 0110000 => [1,2,4] => 65
[1,8,5,3,4,6,2,7] => 0110010 => [1,2,2,1,1] => 295
[7,1,6,5,4,3,8,2] => 1011101 => [1,1,3,1,1] => 233
[7,1,3,6,4,5,8,2] => 1001001 => [1,2,1,2,1] => 281
[7,1,5,3,6,4,8,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,1,5,3,7,8,2,4] => 1010010 => [1,1,1,2,1,1] => 359
[5,8,7,1,2,6,3,4] => 0110010 => [1,2,2,1,1] => 295
[6,8,2,3,4,7,1,5] => 0100010 => [1,1,3,1,1] => 233
[5,1,7,3,8,6,2,4] => 1010110 => [1,1,1,1,2,1] => 345
[6,1,3,2,4,7,8,5] => 1010001 => [1,1,1,3,1] => 219
[6,2,1,3,4,7,8,5] => 1100001 => [2,4,1] => 81
[3,4,5,6,1,8,9,2,7] => 00010010 => [3,1,2,1,1] => 502
[3,4,5,6,8,1,9,2,7] => 00001010 => [4,1,1,1,1] => 275
[3,4,5,6,8,9,1,2,7] => 00000100 => [5,1,2] => 83
[2,4,5,1,6,7,8,9,3] => 00100001 => [2,1,4,1] => 303
[2,3,4,1,6,7,8,9,5] => 00100001 => [2,1,4,1] => 303
[2,3,4,5,6,1,8,9,10,7] => 000010001 => [4,1,3,1] => 626
[3,4,5,6,1,2,9,7,8] => 00010010 => [3,1,2,1,1] => 502
[3,4,5,6,8,1,2,7,9] => 00001000 => [4,1,3] => 125
[2,3,4,5,6,8,9,1,10,7] => 000000101 => [6,1,1,1] => 154
[3,4,5,1,6,7,8,2,9] => 00100010 => [2,1,3,1,1] => 609
[5,6,1,7,8,9,2,3,4] => 01000100 => [1,1,3,1,2] => 609
[4,5,6,1,7,8,9,10,2,3] => 001000010 => [2,1,4,1,1] => 1304
[1,3,5,2,6,7,8,9,4] => 00100001 => [2,1,4,1] => 303
[3,5,6,1,7,8,9,10,2,4] => 001000010 => [2,1,4,1,1] => 1304
[2,1,4,3,6,7,8,9,5] => 10100001 => [1,1,1,4,1] => 410
[3,4,6,1,7,8,9,10,2,5] => 001000010 => [2,1,4,1,1] => 1304
[2,3,1,5,6,7,8,9,4] => 01000001 => [1,1,5,1] => 170
[3,4,5,1,7,8,9,10,2,6] => 001000010 => [2,1,4,1,1] => 1304
[3,2,5,8,7,4,1,6] => 1001110 => [1,2,3,1] => 185
[4,2,5,8,7,3,1,6] => 1001110 => [1,2,3,1] => 185
[8,3,4,1,6,5,2,7] => 1010110 => [1,1,1,1,2,1] => 345
[3,4,8,5,7,2,1,6] => 0010110 => [2,1,1,2,1] => 241
[3,6,4,8,5,7,2,1] => 0101011 => [1,1,1,1,1,2] => 297
[5,8,4,7,3,6,2,1] => 0101011 => [1,1,1,1,1,2] => 297
[4,2,8,7,3,1,6,5] => 1011101 => [1,1,3,1,1] => 233
[6,5,8,2,1,7,4,3] => 1011011 => [1,1,2,1,2] => 252
[6,1,4,3,8,7,2,5] => 1010110 => [1,1,1,1,2,1] => 345
[5,1,3,2,6,8,7,4] => 1010011 => [1,1,1,2,2] => 255
[6,1,3,8,7,2,4,5] => 1001100 => [1,2,2,2] => 211
[1,2,8,4,5,7,3,6] => 0010010 => [2,1,2,1,1] => 252
[4,2,1,8,7,6,3,5] => 1101110 => [2,1,3,1] => 157
[3,2,5,8,7,1,4,6] => 1001100 => [1,2,2,2] => 211
[5,6,3,8,7,2,1,4] => 0101110 => [1,1,1,3,1] => 219
[2,5,8,4,7,1,6,3] => 0010101 => [2,1,1,1,1,1] => 297
[1,6,2,4,8,5,7,3] => 0100101 => [1,1,2,1,1,1] => 359
[3,1,6,5,8,7,2,4] => 1010110 => [1,1,1,1,2,1] => 345
[4,8,5,3,6,7,1,2] => 0110010 => [1,2,2,1,1] => 295
[1,8,5,3,4,7,6,2] => 0110011 => [1,2,2,2] => 211
[2,7,1,3,6,4,5,8] => 0100100 => [1,1,2,1,2] => 252
[8,1,7,3,5,4,6,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[1,8,6,3,2,5,4,7] => 0111010 => [1,3,1,1,1] => 219
[3,2,4,8,5,7,1,6] => 1001010 => [1,2,1,1,1,1] => 345
[8,1,2,4,7,5,6,3] => 1000101 => [1,3,1,1,1] => 219
[6,4,5,8,3,1,7,2] => 1001101 => [1,2,2,1,1] => 295
[8,6,2,1,5,7,3,4] => 1110010 => [3,2,1,1] => 145
[4,6,2,8,5,3,7,1] => 0101101 => [1,1,1,2,1,1] => 359
[8,7,2,4,1,5,3,6] => 1101010 => [2,1,1,1,1,1] => 297
[7,5,3,4,8,6,2,1] => 1100111 => [2,2,3] => 105
[2,8,3,1,4,6,7,5] => 0110001 => [1,2,3,1] => 185
[4,3,6,5,1,2,7,8] => 1011000 => [1,1,2,3] => 145
[5,8,3,7,6,4,2,1] => 0101111 => [1,1,1,4] => 75
[1,3,8,7,6,5,2,4] => 0011110 => [2,4,1] => 81
[4,8,7,2,6,3,1,5] => 0110110 => [1,2,1,2,1] => 281
[1,8,7,2,6,3,5,4] => 0110101 => [1,2,1,1,1,1] => 345
[8,7,2,1,4,3,5,6] => 1110100 => [3,1,1,2] => 117
[2,8,7,1,6,3,4,5] => 0110100 => [1,2,1,1,2] => 241
[4,2,8,7,6,5,1,3] => 1011110 => [1,1,4,1] => 107
[8,4,2,7,6,5,3,1] => 1101111 => [2,1,4] => 55
[6,8,7,5,2,4,3,1] => 0111011 => [1,3,1,2] => 157
[1,2,5,7,4,8,6,3] => 0001011 => [3,1,1,2] => 117
[6,2,1,8,7,5,3,4] => 1101110 => [2,1,3,1] => 157
[6,3,8,7,4,5,2,1] => 1011011 => [1,1,2,1,2] => 252
[2,8,3,4,1,5,6,7] => 0101000 => [1,1,1,1,3] => 165
[1,3,7,5,4,8,6,2] => 0011011 => [2,2,1,2] => 180
[4,5,6,3,1,8,2,7] => 0011010 => [2,2,1,1,1] => 255
[5,2,1,4,3,6,8,7] => 1101001 => [2,1,1,2,1] => 241
[1,5,6,3,8,4,2,7] => 0010110 => [2,1,1,2,1] => 241
[2,6,5,3,8,4,1,7] => 0110110 => [1,2,1,2,1] => 281
[5,7,3,8,4,2,6,1] => 0101101 => [1,1,1,2,1,1] => 359
[5,3,6,2,8,4,1,7] => 1010110 => [1,1,1,1,2,1] => 345
[2,3,6,5,4,8,1,7] => 0011010 => [2,2,1,1,1] => 255
[3,7,5,4,8,2,6,1] => 0110101 => [1,2,1,1,1,1] => 345
[5,3,7,1,2,8,4,6] => 1010010 => [1,1,1,2,1,1] => 359
[6,3,8,7,2,5,4,1] => 1011011 => [1,1,2,1,2] => 252
[2,8,7,6,1,5,3,4] => 0111010 => [1,3,1,1,1] => 219
[9,7,8,5,4,3,2,1,6] => 10111110 => [1,1,5,1] => 170
[1,2,3,4,6,5,7,8,9] => 00001000 => [4,1,3] => 125
[1,2,3,5,4,6,7,8,9] => 00010000 => [3,1,4] => 125
[6,8,4,1,7,5,2,3] => 0110110 => [1,2,1,2,1] => 281
[8,1,4,6,7,5,2,3] => 1000110 => [1,3,2,1] => 185
[2,6,8,1,4,7,5,3] => 0010011 => [2,1,2,2] => 180
[6,4,8,1,2,7,5,3] => 1010011 => [1,1,1,2,2] => 255
[8,1,4,6,7,2,5,3] => 1000101 => [1,3,1,1,1] => 219
[8,2,1,6,7,4,5,3] => 1100101 => [2,2,1,1,1] => 255
[8,2,6,1,7,4,5,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,2,8,1,6,7,5,3] => 1010011 => [1,1,1,2,2] => 255
[8,1,2,6,4,7,5,3] => 1001011 => [1,2,1,1,2] => 241
[8,4,1,6,2,7,5,3] => 1101011 => [2,1,1,1,2] => 207
[4,8,1,2,6,7,5,3] => 0100011 => [1,1,3,2] => 171
[4,8,2,1,6,7,5,3] => 0110011 => [1,2,2,2] => 211
[8,1,6,2,4,7,5,3] => 1010011 => [1,1,1,2,2] => 255
[8,2,4,6,1,7,5,3] => 1001011 => [1,2,1,1,2] => 241
[2,1,4,3,6,5,8,9,10,7] => 101010001 => [1,1,1,1,1,3,1] => 2717
[2,1,4,3,6,7,8,5,10,9] => 101000101 => [1,1,1,3,1,1,1] => 3098
[2,1,4,3,8,7,9,10,5,6] => 101010010 => [1,1,1,1,1,2,1,1] => 4202
[2,1,4,3,6,7,8,9,10,5] => 101000001 => [1,1,1,5,1] => 704
[2,1,4,5,6,3,8,7,10,9] => 100010101 => [1,3,1,1,1,1,1] => 2717
[2,1,4,5,6,3,8,9,10,7] => 100010001 => [1,3,1,3,1] => 1622
[2,1,6,5,7,8,3,4,10,9] => 101001001 => [1,1,1,2,1,2,1] => 3556
[2,1,8,5,9,7,3,10,6,4] => 101011011 => [1,1,1,1,2,1,2] => 3054
[2,1,6,5,7,8,9,10,3,4] => 101000010 => [1,1,1,4,1,1] => 1754
[2,1,4,5,6,7,8,3,10,9] => 100000101 => [1,5,1,1,1] => 704
[2,1,8,5,6,7,9,10,3,4] => 101000010 => [1,1,1,4,1,1] => 1754
[2,1,4,7,6,8,9,3,10,5] => 100100101 => [1,2,1,2,1,1,1] => 3556
[2,1,4,5,6,7,8,9,10,3] => 100000001 => [1,7,1] => 65
[2,3,4,1,6,5,8,7,10,9] => 001010101 => [2,1,1,1,1,1,1,1] => 3432
[2,3,4,1,6,5,8,9,10,7] => 001010001 => [2,1,1,1,3,1] => 1947
[2,3,4,1,6,7,8,5,10,9] => 001000101 => [2,1,3,1,1,1] => 2256
[2,3,4,1,8,7,9,10,5,6] => 001010010 => [2,1,1,1,2,1,1] => 2982
[2,3,4,1,6,7,8,9,10,5] => 001000001 => [2,1,5,1] => 534
[4,3,5,6,1,2,8,7,10,9] => 100100101 => [1,2,1,2,1,1,1] => 3556
[4,3,5,6,1,2,8,9,10,7] => 100100001 => [1,2,1,4,1] => 1315
[6,3,7,5,1,8,4,2,10,9] => 101101101 => [1,1,2,1,2,1,1] => 3667
[8,3,9,5,1,7,4,10,6,2] => 101101011 => [1,1,2,1,1,1,2] => 2982
[6,3,7,5,1,8,9,10,4,2] => 101100011 => [1,1,2,3,2] => 2019
[4,3,5,6,7,8,1,2,10,9] => 100001001 => [1,4,1,2,1] => 1315
[8,3,9,5,6,7,1,10,4,2] => 101001011 => [1,1,1,2,1,1,2] => 3040
[4,3,7,8,6,10,9,2,5,1] => 100101101 => [1,2,1,1,2,1,1] => 3484
[4,3,5,6,7,8,9,10,1,2] => 100000010 => [1,6,1,1] => 254
[2,3,4,5,6,1,8,7,10,9] => 000010101 => [4,1,1,1,1,1] => 1001
[6,3,4,5,7,8,1,2,10,9] => 100001001 => [1,4,1,2,1] => 1315
[8,3,4,5,9,7,1,10,6,2] => 100011011 => [1,3,2,1,2] => 1794
[6,3,4,5,7,8,9,10,1,2] => 100000010 => [1,6,1,1] => 254
[2,5,4,6,7,1,8,3,10,9] => 010010101 => [1,1,2,1,1,1,1,1] => 4202
[8,5,4,6,7,1,9,10,3,2] => 110010011 => [2,2,1,2,2] => 1936
[2,7,4,8,6,1,9,5,10,3] => 010110101 => [1,1,1,2,1,1,1,1] => 4274
[2,5,4,6,7,8,9,1,10,3] => 010000101 => [1,1,4,1,1,1] => 1754
[2,3,4,5,6,7,8,1,10,9] => 000000101 => [6,1,1,1] => 154
[8,3,4,5,6,7,9,10,1,2] => 100000010 => [1,6,1,1] => 254
[2,7,4,5,6,8,9,1,10,3] => 010000101 => [1,1,4,1,1,1] => 1754
[2,3,6,5,7,8,1,9,10,4] => 001001001 => [2,1,2,1,2,1] => 2550
[5,4,7,6,3,1,2,8] => 1011100 => [1,1,3,2] => 171
[3,6,4,8,1,5,2,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,6,8,4,1,5,2,7] => 0011010 => [2,2,1,1,1] => 255
[8,7,1,4,2,3,5,6] => 1101000 => [2,1,1,3] => 117
[3,8,6,4,1,5,2,7] => 0111010 => [1,3,1,1,1] => 219
[8,2,6,5,7,1,3,4] => 1010100 => [1,1,1,1,1,2] => 297
[4,6,1,3,2,8,7,5] => 0101011 => [1,1,1,1,1,2] => 297
[7,1,4,8,2,3,6,5] => 1001001 => [1,2,1,2,1] => 281
[4,5,3,6,7,1,8,2] => 0100101 => [1,1,2,1,1,1] => 359
[1,4,7,8,3,5,2,6] => 0001010 => [3,1,1,1,1] => 165
[4,6,1,3,5,2,8,7] => 0100101 => [1,1,2,1,1,1] => 359
[2,5,1,4,8,3,7,6] => 0100101 => [1,1,2,1,1,1] => 359
[6,1,2,5,4,8,7,3] => 1001011 => [1,2,1,1,2] => 241
[8,4,1,7,3,5,6,2] => 1101001 => [2,1,1,2,1] => 241
[8,4,1,2,5,7,3,6] => 1100010 => [2,3,1,1] => 171
[2,4,5,6,8,3,1,7] => 0000110 => [4,2,1] => 65
[3,4,5,8,6,2,1,7] => 0001110 => [3,3,1] => 95
[4,5,1,8,6,3,7,2] => 0101101 => [1,1,1,2,1,1] => 359
[1,8,2,3,4,5,9,6,7] => 01000010 => [1,1,4,1,1] => 450
[1,3,4,5,6,8,9,2,7] => 00000010 => [6,1,1] => 35
[8,3,7,2,1,6,5,4] => 1011011 => [1,1,2,1,2] => 252
[8,4,7,6,2,5,1,3] => 1011010 => [1,1,2,1,1,1] => 359
[8,4,7,3,6,2,1,5] => 1010110 => [1,1,1,1,2,1] => 345
[3,8,7,5,6,4,1,2] => 0110110 => [1,2,1,2,1] => 281
[3,8,7,5,6,2,1,4] => 0110110 => [1,2,1,2,1] => 281
[3,8,7,5,6,2,4,1] => 0110101 => [1,2,1,1,1,1] => 345
[2,8,7,5,6,4,1,3] => 0110110 => [1,2,1,2,1] => 281
[4,5,2,3,6,7,8,9,1] => 01000001 => [1,1,5,1] => 170
[4,3,2,5,6,7,8,9,1] => 11000001 => [2,5,1] => 133
[5,6,7,2,3,4,8,9,1] => 00100001 => [2,1,4,1] => 303
[5,3,6,2,4,7,8,9,1] => 10100001 => [1,1,1,4,1] => 410
[5,4,3,2,6,7,8,9,1] => 11100001 => [3,4,1] => 196
[6,3,7,8,2,4,5,9,1] => 10010001 => [1,2,1,3,1] => 646
[6,7,4,5,2,3,8,9,1] => 01010001 => [1,1,1,1,3,1] => 770
[6,4,3,7,2,5,8,9,1] => 11010001 => [2,1,1,3,1] => 551
[7,8,4,5,9,2,3,6,1] => 01001001 => [1,1,2,1,2,1] => 1006
[7,4,3,8,9,2,5,6,1] => 11001001 => [2,2,1,2,1] => 725
[7,5,8,3,6,2,4,9,1] => 10101001 => [1,1,1,1,1,2,1] => 1166
[7,5,4,3,8,2,6,9,1] => 11101001 => [3,1,1,2,1] => 476
[7,6,5,4,3,2,8,9,1] => 11111001 => [5,2,1] => 98
[8,6,4,9,3,7,2,5,1] => 11010101 => [2,1,1,1,1,1,1] => 1001
[8,6,5,4,3,9,2,7,1] => 11110101 => [4,1,1,1,1] => 275
[4,5,2,3,6,7,8,9,10,1] => 010000001 => [1,1,6,1] => 254
[4,3,2,5,6,7,8,9,10,1] => 110000001 => [2,6,1] => 204
[5,6,7,2,3,4,8,9,10,1] => 001000001 => [2,1,5,1] => 534
[5,3,6,2,4,7,8,9,10,1] => 101000001 => [1,1,1,5,1] => 704
[5,4,3,2,6,7,8,9,10,1] => 111000001 => [3,5,1] => 364
[6,7,8,9,2,3,4,5,10,1] => 000100001 => [3,1,4,1] => 709
[6,3,7,8,2,4,5,9,10,1] => 100100001 => [1,2,1,4,1] => 1315
[6,7,4,5,2,3,8,9,10,1] => 010100001 => [1,1,1,1,4,1] => 1529
[6,4,3,7,2,5,8,9,10,1] => 110100001 => [2,1,1,4,1] => 1119
[6,5,4,3,2,7,8,9,10,1] => 111100001 => [4,4,1] => 406
[7,8,9,10,1,3,4,5,6,2] => 000100001 => [3,1,4,1] => 709
[7,3,8,9,10,2,4,5,6,1] => 100010001 => [1,3,1,3,1] => 1622
[7,4,3,8,9,2,5,6,10,1] => 110010001 => [2,2,1,3,1] => 1761
[7,5,8,3,6,2,4,9,10,1] => 101010001 => [1,1,1,1,1,3,1] => 2717
[7,5,4,3,8,2,6,9,10,1] => 111010001 => [3,1,1,3,1] => 1177
[7,6,5,4,3,2,8,9,10,1] => 111110001 => [5,3,1] => 294
[8,5,9,3,6,10,2,4,7,1] => 101001001 => [1,1,1,2,1,2,1] => 3556
[8,5,4,3,9,10,2,6,7,1] => 111001001 => [3,2,1,2,1] => 1544
[8,9,6,7,4,5,2,3,10,1] => 010101001 => [1,1,1,1,1,1,2,1] => 4004
[8,6,4,9,3,7,2,5,10,1] => 110101001 => [2,1,1,1,1,2,1] => 2838
[8,6,5,4,3,9,2,7,10,1] => 111101001 => [4,1,1,2,1] => 851
[8,7,6,5,4,3,2,9,10,1] => 111111001 => [6,2,1] => 140
[9,7,5,4,10,3,8,2,6,1] => 111010101 => [3,1,1,1,1,1,1] => 2002
[9,7,6,5,4,3,10,2,8,1] => 111110101 => [5,1,1,1,1] => 429
[10,1,9,2,8,3,7,4,6,5] => 101010101 => [1,1,1,1,1,1,1,1,1] => 4862
[1,5,6,3,8,2,7,4] => 0010101 => [2,1,1,1,1,1] => 297
[2,6,3,8,4,7,1,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,6,3,5,7,8,1,4] => 0100010 => [1,1,3,1,1] => 233
[1,5,6,3,7,2,8,4] => 0010101 => [2,1,1,1,1,1] => 297
[1,7,5,3,6,2,8,4] => 0110101 => [1,2,1,1,1,1] => 345
[1,5,7,3,4,2,8,6] => 0010101 => [2,1,1,1,1,1] => 297
[1,5,8,3,4,2,7,6] => 0010101 => [2,1,1,1,1,1] => 297
[1,4,5,3,7,2,8,6] => 0010101 => [2,1,1,1,1,1] => 297
[1,4,5,3,8,2,7,6] => 0010101 => [2,1,1,1,1,1] => 297
[6,5,1,4,2,7,8,3] => 1101001 => [2,1,1,2,1] => 241
[6,5,1,4,2,8,7,3] => 1101011 => [2,1,1,1,2] => 207
[1,7,5,4,2,8,6,3] => 0111011 => [1,3,1,2] => 157
[5,1,6,8,3,7,2,4] => 1001010 => [1,2,1,1,1,1] => 345
[1,4,3,6,5,10,9,7,8,2] => 010101101 => [1,1,1,1,1,2,1,1] => 4202
[1,4,3,8,7,5,6,10,9,2] => 010110011 => [1,1,1,2,2,2] => 2728
[1,4,3,10,7,5,9,6,8,2] => 010110101 => [1,1,1,2,1,1,1,1] => 4274
[1,4,3,10,9,8,5,6,7,2] => 010111001 => [1,1,1,3,2,1] => 2660
[1,6,5,3,4,8,7,10,9,2] => 011001011 => [1,2,2,1,1,2] => 2558
[1,6,5,3,4,10,9,7,8,2] => 011001101 => [1,2,2,2,1,1] => 3164
[1,8,5,3,7,4,6,10,9,2] => 011010011 => [1,2,1,1,2,2] => 2526
[1,10,5,3,7,4,9,6,8,2] => 011010101 => [1,2,1,1,1,1,1,1] => 4004
[1,10,5,3,9,8,4,6,7,2] => 011011001 => [1,2,1,2,2,1] => 2994
[1,8,7,6,3,4,5,10,9,2] => 011100011 => [1,3,3,2] => 1389
[1,10,7,6,3,4,9,5,8,2] => 011100101 => [1,3,2,1,1,1] => 2479
[1,10,9,6,3,8,4,5,7,2] => 011101001 => [1,3,1,1,2,1] => 2279
[1,10,9,8,7,3,4,5,6,2] => 011110001 => [1,4,3,1] => 994
[3,1,2,6,5,8,7,10,9,4] => 100101011 => [1,2,1,1,1,1,2] => 2838
[3,1,2,6,5,10,9,7,8,4] => 100101101 => [1,2,1,1,2,1,1] => 3484
[3,1,2,8,7,5,6,10,9,4] => 100110011 => [1,2,2,2,2] => 2306
[3,1,2,10,7,5,9,6,8,4] => 100110101 => [1,2,2,1,1,1,1] => 3584
[3,1,2,10,9,8,5,6,7,4] => 100111001 => [1,2,3,2,1] => 2290
[3,1,5,2,4,8,7,10,9,6] => 101001011 => [1,1,1,2,1,1,2] => 3040
[3,1,5,2,4,10,9,7,8,6] => 101001101 => [1,1,1,2,2,1,1] => 3754
[3,1,5,2,7,4,6,10,9,8] => 101010011 => [1,1,1,1,1,2,2] => 3036
[3,1,5,2,9,8,4,6,7,10] => 101011000 => [1,1,1,1,2,3] => 1834
[3,1,7,6,2,4,5,10,9,8] => 101100011 => [1,1,2,3,2] => 2019
[3,1,7,6,2,4,9,5,8,10] => 101100100 => [1,1,2,2,1,2] => 2694
[3,1,9,6,2,8,4,5,7,10] => 101101000 => [1,1,2,1,1,3] => 1762
[3,1,9,8,7,2,4,5,6,10] => 101110000 => [1,1,3,4] => 721
[5,4,1,2,3,8,7,10,9,6] => 110001011 => [2,3,1,1,2] => 1621
[5,4,1,2,3,10,9,7,8,6] => 110001101 => [2,3,2,1,1] => 2019
[5,4,1,2,7,3,6,10,9,8] => 110010011 => [2,2,1,2,2] => 1936
[5,4,1,2,7,3,9,6,8,10] => 110010100 => [2,2,1,1,1,2] => 2161
[5,4,1,2,9,8,3,6,7,10] => 110011000 => [2,2,2,3] => 1198
[7,4,1,6,2,3,5,10,9,8] => 110100011 => [2,1,1,3,2] => 1621
[7,4,1,6,2,3,9,5,8,10] => 110100100 => [2,1,1,2,1,2] => 2179
[9,4,1,6,2,8,3,5,7,10] => 110101000 => [2,1,1,1,1,3] => 1430
[9,4,1,8,7,2,3,5,6,10] => 110110000 => [2,1,2,4] => 681
[7,6,5,1,2,3,4,10,9,8] => 111000011 => [3,4,2] => 658
[7,6,5,1,2,3,9,4,8,10] => 111000100 => [3,3,1,2] => 1038
[9,6,5,1,2,8,3,4,7,10] => 111001000 => [3,2,1,3] => 802
[9,8,5,1,7,2,3,4,6,10] => 111010000 => [3,1,1,4] => 451
[3,8,5,2,1,4,7,6] => 0111001 => [1,3,2,1] => 185
[3,5,4,8,2,6,7,1] => 0101001 => [1,1,1,1,2,1] => 345
[5,4,7,1,8,6,3,2] => 1010111 => [1,1,1,1,3] => 165
[2,4,1,5,3,6,7,8,9] => 01010000 => [1,1,1,1,4] => 275
[1,4,8,2,6,5,3,7] => 0010110 => [2,1,1,2,1] => 241
[8,5,1,3,6,2,4,7] => 1100100 => [2,2,1,2] => 180
[7,5,1,8,3,4,2,6] => 1101010 => [2,1,1,1,1,1] => 297
[5,2,8,1,7,4,3,6] => 1010110 => [1,1,1,1,2,1] => 345
[1,4,8,2,6,7,3,5] => 0010010 => [2,1,2,1,1] => 252
[1,2,5,6,8,7,3,4] => 0000110 => [4,2,1] => 65
[1,5,6,8,2,7,4,3] => 0001011 => [3,1,1,2] => 117
[2,6,7,3,4,1,8,5] => 0010101 => [2,1,1,1,1,1] => 297
[1,6,5,7,8,2,4,3] => 0100101 => [1,1,2,1,1,1] => 359
[1,5,6,7,2,8,4,3] => 0001011 => [3,1,1,2] => 117
[3,7,6,1,8,2,4,5] => 0110100 => [1,2,1,1,2] => 241
[1,3,7,2,6,4,8,5] => 0010101 => [2,1,1,1,1,1] => 297
[1,5,8,6,7,3,4,2] => 0010101 => [2,1,1,1,1,1] => 297
[1,6,5,8,7,2,4,3] => 0101101 => [1,1,1,2,1,1] => 359
[1,5,7,6,2,8,3,4] => 0011010 => [2,2,1,1,1] => 255
[1,2,5,8,6,7,4,3] => 0001011 => [3,1,1,2] => 117
[1,2,6,5,7,3,8,4] => 0010101 => [2,1,1,1,1,1] => 297
[1,7,5,8,6,4,2,3] => 0101110 => [1,1,1,3,1] => 219
[3,6,5,8,1,2,7,4] => 0101001 => [1,1,1,1,2,1] => 345
[5,4,7,8,1,6,3,2] => 1001011 => [1,2,1,1,2] => 241
[2,5,6,8,1,3,7,4] => 0001001 => [3,1,2,1] => 137
[5,3,6,8,1,2,7,4] => 1001001 => [1,2,1,2,1] => 281
[4,6,5,8,3,2,7,1] => 0101101 => [1,1,1,2,1,1] => 359
[4,5,6,8,2,3,7,1] => 0001001 => [3,1,2,1] => 137
[2,5,8,7,1,6,4,3] => 0011011 => [2,2,1,2] => 180
[4,7,5,8,3,6,2,1] => 0101011 => [1,1,1,1,1,2] => 297
[7,3,6,8,5,2,1,4] => 1001110 => [1,2,3,1] => 185
[8,3,6,7,5,2,4,1] => 1001101 => [1,2,2,1,1] => 295
[8,4,5,7,3,6,2,1] => 1001011 => [1,2,1,1,2] => 241
[2,4,7,8,5,6,3,1] => 0001011 => [3,1,1,2] => 117
[3,6,8,7,5,2,4,1] => 0011101 => [2,3,1,1] => 171
[6,4,7,8,5,1,3,2] => 1001101 => [1,2,2,1,1] => 295
[7,8,4,6,5,3,1,2] => 0101110 => [1,1,1,3,1] => 219
[6,8,4,7,5,1,3,2] => 0101101 => [1,1,1,2,1,1] => 359
[4,5,6,7,8,3,9,1,2] => 00001010 => [4,1,1,1,1] => 275
[8,9,2,3,4,5,1,6,7] => 01000100 => [1,1,3,1,2] => 609
[5,6,7,4,8,9,1,2,3] => 00100100 => [2,1,2,1,2] => 623
[7,8,9,2,3,1,4,5,6] => 00101000 => [2,1,1,1,3] => 407
[6,5,7,8,9,1,2,3,4] => 10001000 => [1,3,1,3] => 332
[7,6,1,2,3,5,4,8] => 1100010 => [2,3,1,1] => 171
[2,8,7,5,1,6,3,4] => 0111010 => [1,3,1,1,1] => 219
[8,7,6,4,2,1,5,3] => 1111101 => [5,1,1] => 27
[3,8,7,5,2,6,4,1] => 0111011 => [1,3,1,2] => 157
[3,8,7,5,1,2,6,4] => 0111001 => [1,3,2,1] => 185
[5,8,3,7,1,4,6,2] => 0101001 => [1,1,1,1,2,1] => 345
[3,8,7,4,2,6,5,1] => 0111011 => [1,3,1,2] => 157
[5,8,3,2,4,7,6,1] => 0110011 => [1,2,2,2] => 211
[5,3,8,2,4,6,1,7] => 1010010 => [1,1,1,2,1,1] => 359
[4,5,8,3,2,6,1,7] => 0011010 => [2,2,1,1,1] => 255
[5,8,2,1,4,6,3,7] => 0110010 => [1,2,2,1,1] => 295
[4,1,5,8,3,6,2,7] => 1001010 => [1,2,1,1,1,1] => 345
[4,5,8,3,6,1,2,7] => 0010100 => [2,1,1,1,2] => 207
[3,2,7,1,8,5,4,6] => 1010110 => [1,1,1,1,2,1] => 345
[4,7,8,5,2,3,1,6] => 0011010 => [2,2,1,1,1] => 255
[6,2,7,8,1,5,3,4] => 1001010 => [1,2,1,1,1,1] => 345
[2,7,1,3,8,5,4,6] => 0100110 => [1,1,2,2,1] => 295
[2,6,7,8,4,1,3,5] => 0001100 => [3,2,2] => 105
[2,6,7,8,4,3,1,5] => 0001110 => [3,3,1] => 95
[7,1,2,3,4,5,8,6,9] => 10000010 => [1,5,1,1] => 170
[6,1,2,3,4,7,5,8,9] => 10000100 => [1,4,1,2] => 303
[5,1,2,3,6,4,7,8,9] => 10001000 => [1,3,1,3] => 332
[4,1,2,5,3,6,7,8,9] => 10010000 => [1,2,1,4] => 235
[7,1,2,6,3,8,4,5] => 1001010 => [1,2,1,1,1,1] => 345
[8,1,2,6,5,3,7,4] => 1001101 => [1,2,2,1,1] => 295
[7,4,1,8,2,5,3,6] => 1101010 => [2,1,1,1,1,1] => 297
[7,2,1,8,3,6,4,5] => 1101010 => [2,1,1,1,1,1] => 297
[6,8,7,3,1,2,4,5] => 0111000 => [1,3,3] => 95
[7,4,8,3,1,2,6,5] => 1011001 => [1,1,2,2,1] => 295
[8,4,5,3,1,6,7,2] => 1011001 => [1,1,2,2,1] => 295
[8,2,3,1,6,7,4,5] => 1010010 => [1,1,1,2,1,1] => 359
[8,2,1,7,4,3,5,6] => 1101100 => [2,1,2,2] => 180
[7,2,6,8,4,1,3,5] => 1001100 => [1,2,2,2] => 211
[7,2,5,1,6,8,3,4] => 1010010 => [1,1,1,2,1,1] => 359
[6,2,1,7,4,8,3,5] => 1101010 => [2,1,1,1,1,1] => 297
[1,7,4,3,2,5,6,8] => 0111000 => [1,3,3] => 95
[1,7,4,3,6,2,5,8] => 0110100 => [1,2,1,1,2] => 241
[3,7,5,8,2,4,6,1] => 0101001 => [1,1,1,1,2,1] => 345
[5,2,1,6,3,4,8,7] => 1101001 => [2,1,1,2,1] => 241
[5,1,3,4,6,2,8,7] => 1000101 => [1,3,1,1,1] => 219
[3,8,4,5,7,2,6,1] => 0100101 => [1,1,2,1,1,1] => 359
[3,8,4,7,5,6,2,1] => 0101011 => [1,1,1,1,1,2] => 297
[4,2,8,6,3,7,5,1] => 1011011 => [1,1,2,1,2] => 252
[4,1,7,6,3,8,5,2] => 1011011 => [1,1,2,1,2] => 252
[7,4,1,8,5,3,6,2] => 1101101 => [2,1,2,1,1] => 252
[3,5,6,8,4,7,1,2] => 0001010 => [3,1,1,1,1] => 165
[5,4,1,8,6,7,2,3] => 1101010 => [2,1,1,1,1,1] => 297
[6,2,8,4,5,3,7,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,5,2,1,8,7,3,6] => 0110110 => [1,2,1,2,1] => 281
[4,7,3,8,2,6,5,1] => 0101011 => [1,1,1,1,1,2] => 297
[4,7,3,1,8,6,2,5] => 0110110 => [1,2,1,2,1] => 281
[6,2,1,3,7,4,8,5] => 1100101 => [2,2,1,1,1] => 255
[6,3,7,1,2,5,8,4] => 1010001 => [1,1,1,3,1] => 219
[5,1,4,7,8,2,6,3] => 1000101 => [1,3,1,1,1] => 219
[7,2,5,8,1,3,6,4] => 1001001 => [1,2,1,2,1] => 281
[8,3,6,7,2,4,5,1] => 1001001 => [1,2,1,2,1] => 281
[3,8,7,5,2,1,6,4] => 0111101 => [1,4,1,1] => 107
[3,8,5,6,2,7,4,1] => 0101011 => [1,1,1,1,1,2] => 297
[3,6,5,8,4,2,7,1] => 0101101 => [1,1,1,2,1,1] => 359
[6,8,3,2,5,7,4,1] => 0110011 => [1,2,2,2] => 211
[4,1,5,6,8,7,3,2] => 1000111 => [1,3,3] => 95
[8,4,2,3,6,7,5,1] => 1100011 => [2,3,2] => 126
[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] => 359
[3,5,4,8,6,2,7,1] => 0101101 => [1,1,1,2,1,1] => 359
[3,6,2,4,5,8,7,1] => 0100011 => [1,1,3,2] => 171
[8,1,2,3,4,5,9,7,6] => 10000011 => [1,5,2] => 133
[8,1,2,3,4,9,6,7,5] => 10000101 => [1,4,1,1,1] => 410
[9,1,2,3,8,5,6,7,4] => 10001001 => [1,3,1,2,1] => 646
[8,1,3,7,4,5,6,2] => 1001001 => [1,2,1,2,1] => 281
[9,1,2,3,4,5,6,10,8,7] => 100000011 => [1,6,2] => 204
[9,1,2,3,4,5,10,7,8,6] => 100000101 => [1,5,1,1,1] => 704
[10,1,2,3,4,9,6,7,8,5] => 100001001 => [1,4,1,2,1] => 1315
[10,1,9,3,4,5,6,7,8,2] => 101000001 => [1,1,1,5,1] => 704
[10,1,2,3,4,5,6,8,9,7] => 100000001 => [1,7,1] => 65
[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] => 429
[2,6,4,8,3,1,5,7] => 0101100 => [1,1,1,2,2] => 255
[2,6,4,1,5,8,7,3] => 0110011 => [1,2,2,2] => 211
[7,6,5,2,4,3,8,1] => 1110101 => [3,1,1,1,1] => 165
[3,6,4,5,2,8,1,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[8,1,5,4,7,3,6,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,6,5,4,1,8,2,3] => 1111010 => [4,1,1,1] => 75
[3,6,4,1,5,7,2,8] => 0110010 => [1,2,2,1,1] => 295
[8,1,5,4,7,6,3,2] => 1010111 => [1,1,1,1,3] => 165
[2,5,1,4,6,7,3,8] => 0100010 => [1,1,3,1,1] => 233
[3,6,4,1,5,7,8,2] => 0110001 => [1,2,3,1] => 185
[7,6,5,2,8,4,1,3] => 1110110 => [3,1,2,1] => 137
[3,1,6,5,2,8,7,4] => 1011011 => [1,1,2,1,2] => 252
[1,7,2,4,3,5,8,6] => 0101001 => [1,1,1,1,2,1] => 345
[3,8,1,7,4,2,6,5] => 0101101 => [1,1,1,2,1,1] => 359
[8,1,7,4,3,5,6,2] => 1011001 => [1,1,2,2,1] => 295
[6,8,2,4,5,3,7,1] => 0100101 => [1,1,2,1,1,1] => 359
[4,8,5,3,6,1,7,2] => 0110101 => [1,2,1,1,1,1] => 345
[2,8,3,1,4,7,5,6] => 0110010 => [1,2,2,1,1] => 295
[8,6,3,2,7,4,1,5] => 1110110 => [3,1,2,1] => 137
[2,7,3,1,8,4,5,6] => 0110100 => [1,2,1,1,2] => 241
[1,2,8,3,5,6,4,7] => 0010010 => [2,1,2,1,1] => 252
[3,5,7,4,8,1,6,2] => 0010101 => [2,1,1,1,1,1] => 297
[2,8,1,3,5,4,6,7] => 0100100 => [1,1,2,1,2] => 252
[1,3,2,10,6,5,4,9,8,7] => 010111011 => [1,1,1,3,1,2] => 2256
[1,6,3,2,5,4,10,9,8,7] => 011010111 => [1,2,1,1,1,3] => 1672
[1,6,3,2,10,5,4,9,8,7] => 011011011 => [1,2,1,2,1,2] => 2550
[1,10,6,3,2,5,4,9,8,7] => 011101011 => [1,3,1,1,1,2] => 1947
[1,6,3,2,10,9,5,4,8,7] => 011011101 => [1,2,1,3,1,1] => 2548
[1,10,6,3,2,9,5,4,8,7] => 011101101 => [1,3,1,2,1,1] => 2407
[3,1,2,6,5,4,10,9,8,7] => 100110111 => [1,2,2,1,3] => 1532
[3,1,2,10,6,5,4,9,8,7] => 100111011 => [1,2,3,1,2] => 1942
[3,1,6,2,5,4,10,9,8,7] => 101010111 => [1,1,1,1,1,1,3] => 2002
[3,1,6,2,10,5,4,9,8,7] => 101011011 => [1,1,1,1,2,1,2] => 3054
[3,1,10,6,2,5,4,9,8,7] => 101101011 => [1,1,2,1,1,1,2] => 2982
[3,1,6,2,10,9,5,4,8,7] => 101011101 => [1,1,1,1,3,1,1] => 3014
[3,1,10,6,2,9,5,4,8,7] => 101101101 => [1,1,2,1,2,1,1] => 3667
[6,3,1,2,5,4,10,9,8,7] => 110010111 => [2,2,1,1,3] => 1286
[6,3,1,2,10,5,4,9,8,7] => 110011011 => [2,2,2,1,2] => 1963
[6,3,1,10,2,5,4,9,8,7] => 110101011 => [2,1,1,1,1,1,2] => 2431
[10,6,3,1,2,5,4,9,8,7] => 111001011 => [3,2,1,1,2] => 1318
[6,3,1,2,10,9,5,4,8,7] => 110011101 => [2,2,3,1,1] => 1986
[6,3,1,10,2,9,5,4,8,7] => 110101101 => [2,1,1,1,2,1,1] => 2982
[10,6,3,1,2,9,5,4,8,7] => 111001101 => [3,2,2,1,1] => 1634
[3,1,6,5,2,4,10,9,8,7] => 101100111 => [1,1,2,2,3] => 1634
[3,1,6,5,2,10,4,9,8,7] => 101101011 => [1,1,2,1,1,1,2] => 2982
[3,1,10,6,5,2,4,9,8,7] => 101110011 => [1,1,3,2,2] => 1986
[3,1,6,5,2,10,9,4,8,7] => 101101101 => [1,1,2,1,2,1,1] => 3667
[3,1,10,6,5,2,9,4,8,7] => 101110101 => [1,1,3,1,1,1,1] => 3014
[6,3,1,5,2,4,10,9,8,7] => 110100111 => [2,1,1,2,3] => 1318
[6,3,1,5,2,10,4,9,8,7] => 110101011 => [2,1,1,1,1,1,2] => 2431
[6,3,1,10,5,2,4,9,8,7] => 110110011 => [2,1,2,2,2] => 1963
[10,6,3,1,5,2,4,9,8,7] => 111010011 => [3,1,1,2,2] => 1286
[6,3,1,5,2,10,9,4,8,7] => 110101101 => [2,1,1,1,2,1,1] => 2982
[6,3,1,10,5,2,9,4,8,7] => 110110101 => [2,1,2,1,1,1,1] => 3054
[10,6,3,1,5,2,9,4,8,7] => 111010101 => [3,1,1,1,1,1,1] => 2002
[6,3,1,10,9,5,2,4,8,7] => 110111001 => [2,1,3,2,1] => 1942
[10,6,3,1,9,5,2,4,8,7] => 111011001 => [3,1,2,2,1] => 1532
[3,1,6,5,2,10,9,8,4,7] => 101101110 => [1,1,2,1,3,1] => 2407
[3,1,10,6,5,2,9,8,4,7] => 101110110 => [1,1,3,1,2,1] => 2548
[6,3,1,5,2,10,9,8,4,7] => 110101110 => [2,1,1,1,3,1] => 1947
[6,3,1,10,5,2,9,8,4,7] => 110110110 => [2,1,2,1,2,1] => 2550
[10,6,3,1,5,2,9,8,4,7] => 111010110 => [3,1,1,1,2,1] => 1672
[6,3,1,10,9,5,2,8,4,7] => 110111010 => [2,1,3,1,1,1] => 2256
[1,5,2,8,6,4,3,7] => 0101110 => [1,1,1,3,1] => 219
[7,4,8,6,3,1,2,5] => 1011100 => [1,1,3,2] => 171
[3,6,8,4,1,2,5,7] => 0011000 => [2,2,3] => 105
[4,7,8,5,2,1,3,6] => 0011100 => [2,3,2] => 126
[6,1,5,2,8,7,3,4] => 1010110 => [1,1,1,1,2,1] => 345
[8,1,3,5,7,4,2,6] => 1000110 => [1,3,2,1] => 185
[3,1,8,5,4,7,2,6] => 1011010 => [1,1,2,1,1,1] => 359
[3,1,6,4,8,5,2,7] => 1010110 => [1,1,1,1,2,1] => 345
[5,1,3,4,2,6,8,7] => 1001001 => [1,2,1,2,1] => 281
[3,2,6,4,1,5,7,8] => 1011000 => [1,1,2,3] => 145
[5,4,2,1,8,3,6,7] => 1110100 => [3,1,1,2] => 117
[4,2,5,1,8,7,3,6] => 1010110 => [1,1,1,1,2,1] => 345
[6,8,2,7,1,4,3,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,8,4,7,3,2,5,6] => 0101100 => [1,1,1,2,2] => 255
[8,6,3,1,5,7,2,4] => 1110010 => [3,2,1,1] => 145
[5,8,3,1,4,7,6,2] => 0110011 => [1,2,2,2] => 211
[1,2,5,4,7,8,3,6] => 0010010 => [2,1,2,1,1] => 252
[1,8,3,2,6,4,7,5] => 0110101 => [1,2,1,1,1,1] => 345
[4,7,1,2,5,3,6,8] => 0100100 => [1,1,2,1,2] => 252
[6,8,4,1,3,7,2,5] => 0110010 => [1,2,2,1,1] => 295
[3,2,6,1,7,8,5,4] => 1010011 => [1,1,1,2,2] => 255
[7,6,4,1,8,3,5,2] => 1110101 => [3,1,1,1,1] => 165
[5,4,1,6,7,3,2,8] => 1100110 => [2,2,2,1] => 211
[7,4,1,6,5,8,2,3] => 1101010 => [2,1,1,1,1,1] => 297
[8,5,4,1,6,7,3,2] => 1110011 => [3,2,2] => 105
[5,2,1,6,4,7,8,3] => 1101001 => [2,1,1,2,1] => 241
[1,6,2,3,5,7,8,4] => 0100001 => [1,1,4,1] => 107
[1,3,4,8,5,2,6,7] => 0001100 => [3,2,2] => 105
[8,2,4,6,1,7,3,5] => 1001010 => [1,2,1,1,1,1] => 345
[1,5,7,2,3,6,8,4] => 0010001 => [2,1,3,1] => 157
[7,3,1,4,2,5,8,6] => 1101001 => [2,1,1,2,1] => 241
[3,2,5,7,8,4,1,6] => 1000110 => [1,3,2,1] => 185
[4,3,5,1,6,2,7,8] => 1010100 => [1,1,1,1,1,2] => 297
[8,6,3,5,4,1,2,7] => 1101100 => [2,1,2,2] => 180
[8,3,2,6,1,5,4,7] => 1101010 => [2,1,1,1,1,1] => 297
[8,5,1,7,4,6,2,3] => 1101010 => [2,1,1,1,1,1] => 297
[4,8,1,7,6,3,5,2] => 0101101 => [1,1,1,2,1,1] => 359
[8,5,1,7,4,3,6,2] => 1101101 => [2,1,2,1,1] => 252
[8,5,7,6,2,1,3,4] => 1011100 => [1,1,3,2] => 171
[5,4,8,3,1,7,2,6] => 1011010 => [1,1,2,1,1,1] => 359
[5,1,4,8,3,2,7,6] => 1001101 => [1,2,2,1,1] => 295
[4,8,1,7,6,5,2,3] => 0101110 => [1,1,1,3,1] => 219
[4,3,8,7,2,6,1,5] => 1011010 => [1,1,2,1,1,1] => 359
[3,8,7,2,6,4,1,5] => 0110110 => [1,2,1,2,1] => 281
[8,2,5,7,4,3,6,1] => 1001101 => [1,2,2,1,1] => 295
[3,8,7,4,6,1,2,5] => 0110100 => [1,2,1,1,2] => 241
[8,7,6,3,5,4,1,2] => 1110110 => [3,1,2,1] => 137
[2,8,4,7,6,1,5,3] => 0101101 => [1,1,1,2,1,1] => 359
[2,5,4,8,3,1,7,6] => 0101101 => [1,1,1,2,1,1] => 359
[5,4,8,2,1,3,7,6] => 1011001 => [1,1,2,2,1] => 295
[3,8,7,2,6,1,5,4] => 0110101 => [1,2,1,1,1,1] => 345
[1,8,4,7,6,3,5,2] => 0101101 => [1,1,1,2,1,1] => 359
[1,8,3,7,6,5,2,4] => 0101110 => [1,1,1,3,1] => 219
[1,4,3,8,7,2,6,5] => 0101101 => [1,1,1,2,1,1] => 359
[7,1,5,4,6,2,3,8] => 1010100 => [1,1,1,1,1,2] => 297
[7,4,1,3,6,2,5,8] => 1100100 => [2,2,1,2] => 180
[5,4,3,1,7,6,2,8] => 1110110 => [3,1,2,1] => 137
[4,1,3,7,5,6,2,8] => 1001010 => [1,2,1,1,1,1] => 345
[2,6,8,3,1,7,4,5] => 0011010 => [2,2,1,1,1] => 255
[2,5,4,8,1,7,3,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[7,2,6,5,8,3,4,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,6,3,1,4,2,7,8] => 0110100 => [1,2,1,1,2] => 241
[2,6,5,3,4,8,7,1] => 0110011 => [1,2,2,2] => 211
[2,6,1,5,3,4,7,8] => 0101000 => [1,1,1,1,3] => 165
[3,6,2,7,4,5,1,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,4,7,8,5,1,6,2] => 0001101 => [3,2,1,1] => 145
[3,6,2,4,7,8,5,1] => 0100011 => [1,1,3,2] => 171
[5,3,6,4,8,7,2,1] => 1010111 => [1,1,1,1,3] => 165
[1,5,4,8,6,2,7,3] => 0101101 => [1,1,1,2,1,1] => 359
[4,5,2,7,6,3,8,1] => 0101101 => [1,1,1,2,1,1] => 359
[7,6,2,5,3,8,4,1] => 1101011 => [2,1,1,1,2] => 207
[8,4,6,1,3,7,2,5] => 1010010 => [1,1,1,2,1,1] => 359
[4,8,5,1,2,3,6,7] => 0110000 => [1,2,4] => 65
[8,6,2,4,5,1,3,7] => 1100100 => [2,2,1,2] => 180
[4,5,1,3,8,6,2,7] => 0100110 => [1,1,2,2,1] => 295
[7,4,2,3,6,8,5,1] => 1100011 => [2,3,2] => 126
[2,1,6,7,4,8,3,5] => 1001010 => [1,2,1,1,1,1] => 345
[7,8,3,1,6,2,5,4] => 0110101 => [1,2,1,1,1,1] => 345
[7,5,2,8,1,4,6,3] => 1101001 => [2,1,1,2,1] => 241
[6,7,8,2,5,4,3,1] => 0010111 => [2,1,1,3] => 117
[7,8,1,6,2,5,4,3] => 0101011 => [1,1,1,1,1,2] => 297
[5,1,6,8,3,4,7,2] => 1001001 => [1,2,1,2,1] => 281
[7,1,6,8,5,4,3,2] => 1001111 => [1,2,4] => 65
[5,6,8,1,2,3,7,4] => 0010001 => [2,1,3,1] => 157
[4,8,1,2,7,6,5,3] => 0100111 => [1,1,2,3] => 145
[4,6,1,2,8,5,7,3] => 0100101 => [1,1,2,1,1,1] => 359
[6,4,7,3,5,2,1,8] => 1010110 => [1,1,1,1,2,1] => 345
[5,7,8,4,2,1,3,6] => 0011100 => [2,3,2] => 126
[6,4,8,3,5,2,1,7] => 1010110 => [1,1,1,1,2,1] => 345
[3,1,6,2,5,7,8,4] => 1010001 => [1,1,1,3,1] => 219
[2,1,6,3,5,7,4,8] => 1010010 => [1,1,1,2,1,1] => 359
[1,6,4,5,2,7,3,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,4,7,3,2,5,6,8] => 0011000 => [2,2,3] => 105
[6,2,1,4,5,3,7,8] => 1100100 => [2,2,1,2] => 180
[1,2,3,4,5,8,9,6,7] => 00000010 => [6,1,1] => 35
[1,2,3,4,7,9,5,8,6] => 00000101 => [5,1,1,1] => 110
[1,2,3,6,9,4,7,8,5] => 00001001 => [4,1,2,1] => 235
[1,2,4,6,8,3,7,5] => 0000101 => [4,1,1,1] => 75
[1,2,5,9,3,6,7,8,4] => 00010001 => [3,1,3,1] => 332
[1,3,5,8,2,6,7,4] => 0001001 => [3,1,2,1] => 137
[1,4,9,2,5,6,7,8,3] => 00100001 => [2,1,4,1] => 303
[3,9,1,4,5,6,7,8,2] => 01000001 => [1,1,5,1] => 170
[6,1,3,7,2,8,5,4] => 1001011 => [1,2,1,1,2] => 241
[6,4,5,8,3,7,1,2] => 1001010 => [1,2,1,1,1,1] => 345
[8,1,4,3,6,7,2,5] => 1010010 => [1,1,1,2,1,1] => 359
[2,6,8,4,3,1,7,5] => 0011101 => [2,3,1,1] => 171
[8,1,5,2,6,4,3,7] => 1010110 => [1,1,1,1,2,1] => 345
[1,6,7,4,2,8,3,5] => 0011010 => [2,2,1,1,1] => 255
[1,7,8,4,3,6,2,5] => 0011010 => [2,2,1,1,1] => 255
[1,5,8,7,4,3,2,6] => 0011110 => [2,4,1] => 81
[1,4,7,2,3,6,8,5] => 0010001 => [2,1,3,1] => 157
[3,1,2,6,7,8,5,4] => 1000011 => [1,4,2] => 81
[3,8,1,6,4,2,7,5] => 0101101 => [1,1,1,2,1,1] => 359
[1,6,3,4,7,8,2,5] => 0100010 => [1,1,3,1,1] => 233
[3,1,5,7,6,2,8,4] => 1001101 => [1,2,2,1,1] => 295
[6,3,1,4,2,7,8,5] => 1101001 => [2,1,1,2,1] => 241
[2,4,3,7,6,1,8,5] => 0101101 => [1,1,1,2,1,1] => 359
[3,1,7,6,5,2,8,4] => 1011101 => [1,1,3,1,1] => 233
[1,4,7,6,8,3,2,5] => 0010110 => [2,1,1,2,1] => 241
[7,2,1,5,6,3,8,4] => 1100101 => [2,2,1,1,1] => 255
[4,3,1,8,6,2,7,5] => 1101101 => [2,1,2,1,1] => 252
[3,1,5,2,8,7,6,4] => 1010111 => [1,1,1,1,3] => 165
[1,2,8,4,3,7,6,5] => 0011011 => [2,2,1,2] => 180
[2,6,1,8,7,4,3,5] => 0101110 => [1,1,1,3,1] => 219
[7,5,1,8,3,2,6,4] => 1101101 => [2,1,2,1,1] => 252
[4,7,6,3,1,8,2,5] => 0111010 => [1,3,1,1,1] => 219
[5,3,1,8,6,2,4,7] => 1101100 => [2,1,2,2] => 180
[5,1,8,6,3,2,4,7] => 1011100 => [1,1,3,2] => 171
[1,5,4,2,8,6,3,7] => 0110110 => [1,2,1,2,1] => 281
[1,4,2,8,5,3,7,6] => 0101101 => [1,1,1,2,1,1] => 359
[8,3,1,6,4,2,5,7] => 1101100 => [2,1,2,2] => 180
[1,7,4,8,3,5,2,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[7,3,2,4,8,5,1,6] => 1100110 => [2,2,2,1] => 211
[5,7,8,1,4,2,6,3] => 0010101 => [2,1,1,1,1,1] => 297
[2,6,3,8,1,7,5,4] => 0101011 => [1,1,1,1,1,2] => 297
[2,5,1,8,6,3,7,4] => 0101101 => [1,1,1,2,1,1] => 359
[2,8,6,4,1,7,3,5] => 0111010 => [1,3,1,1,1] => 219
[1,8,4,2,7,5,3,6] => 0110110 => [1,2,1,2,1] => 281
[6,5,1,7,2,8,4,3] => 1101011 => [2,1,1,1,2] => 207
[2,8,1,7,5,3,6,4] => 0101101 => [1,1,1,2,1,1] => 359
[1,2,8,7,6,4,3,5] => 0011110 => [2,4,1] => 81
[4,1,7,8,6,3,5,2] => 1001101 => [1,2,2,1,1] => 295
[1,6,5,7,8,4,2,3] => 0100110 => [1,1,2,2,1] => 295
[4,1,8,7,6,3,5,2] => 1011101 => [1,1,3,1,1] => 233
[4,8,2,6,3,5,1,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,3,5,7,1,6,2,8] => 1001010 => [1,2,1,1,1,1] => 345
[4,1,8,5,3,6,2,7] => 1011010 => [1,1,2,1,1,1] => 359
[6,4,2,5,3,1,7,8] => 1101100 => [2,1,2,2] => 180
[3,1,5,8,2,7,4,6] => 1001010 => [1,2,1,1,1,1] => 345
[6,4,1,5,3,2,7,8] => 1101100 => [2,1,2,2] => 180
[6,2,1,5,4,3,7,8] => 1101100 => [2,1,2,2] => 180
[3,1,8,5,4,6,2,7] => 1011010 => [1,1,2,1,1,1] => 359
[6,1,8,4,5,3,2,7] => 1010110 => [1,1,1,1,2,1] => 345
[4,5,2,7,1,6,3,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,3,5,7,1,6,8,2] => 1001001 => [1,2,1,2,1] => 281
[4,1,8,5,3,6,7,2] => 1011001 => [1,1,2,2,1] => 295
[6,3,8,4,5,1,7,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[3,1,6,8,5,7,4,2] => 1001011 => [1,2,1,1,2] => 241
[2,6,1,8,5,7,4,3] => 0101011 => [1,1,1,1,1,2] => 297
[6,3,8,4,5,2,1,7] => 1010110 => [1,1,1,1,2,1] => 345
[6,5,8,7,2,3,4,1] => 1011001 => [1,1,2,2,1] => 295
[6,3,8,4,5,2,7,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[2,1,6,8,5,3,7,4] => 1001101 => [1,2,2,1,1] => 295
[3,2,6,8,5,4,7,1] => 1001101 => [1,2,2,1,1] => 295
[4,1,8,5,2,6,3,7] => 1011010 => [1,1,2,1,1,1] => 359
[3,1,6,8,5,2,4,7] => 1001100 => [1,2,2,2] => 211
[6,5,8,7,4,1,2,3] => 1011100 => [1,1,3,2] => 171
[6,5,8,7,4,2,1,3] => 1011110 => [1,1,4,1] => 107
[6,5,8,7,2,4,1,3] => 1011010 => [1,1,2,1,1,1] => 359
[6,2,8,4,5,7,1,3] => 1010010 => [1,1,1,2,1,1] => 359
[6,1,8,4,5,7,3,2] => 1010011 => [1,1,1,2,2] => 255
[1,9,2,10,3,4,5,6,7,8] => 010100000 => [1,1,1,1,5] => 429
[2,8,1,9,3,4,5,6,7] => 01010000 => [1,1,1,1,4] => 275
[4,2,7,3,5,8,6,1] => 1010011 => [1,1,1,2,2] => 255
[3,6,2,4,8,5,7,1] => 0100101 => [1,1,2,1,1,1] => 359
[2,7,5,4,3,8,6,1] => 0111011 => [1,3,1,2] => 157
[3,5,1,8,4,7,6,2] => 0101011 => [1,1,1,1,1,2] => 297
[3,6,1,8,5,4,7,2] => 0101101 => [1,1,1,2,1,1] => 359
[2,4,8,3,7,6,5,1] => 0010111 => [2,1,1,3] => 117
[3,6,8,2,5,7,4,1] => 0010011 => [2,1,2,2] => 180
[2,6,8,5,4,3,7,1] => 0011101 => [2,3,1,1] => 171
[3,6,8,2,5,4,7,1] => 0010101 => [2,1,1,1,1,1] => 297
[4,6,8,3,2,5,7,1] => 0011001 => [2,2,2,1] => 211
[4,6,2,8,3,5,7,1] => 0101001 => [1,1,1,1,2,1] => 345
[3,6,1,8,5,7,4,2] => 0101011 => [1,1,1,1,1,2] => 297
[5,2,6,8,4,1,7,3] => 1001101 => [1,2,2,1,1] => 295
[4,6,3,8,7,2,5,1] => 0101101 => [1,1,1,2,1,1] => 359
[3,5,8,2,7,4,6,1] => 0010101 => [2,1,1,1,1,1] => 297
[2,6,8,5,7,4,3,1] => 0010111 => [2,1,1,3] => 117
[2,4,8,7,6,3,5,1] => 0011101 => [2,3,1,1] => 171
[7,5,1,6,3,2,8,4] => 1101101 => [2,1,2,1,1] => 252
[2,7,6,3,4,1,8,5] => 0110101 => [1,2,1,1,1,1] => 345
[5,7,6,3,1,2,8,4] => 0111001 => [1,3,2,1] => 185
[4,8,2,1,7,5,6,3] => 0110101 => [1,2,1,1,1,1] => 345
[6,3,8,5,7,2,4,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[1,5,4,8,6,2,3,7] => 0101100 => [1,1,1,2,2] => 255
[8,2,1,7,5,3,6,4] => 1101101 => [2,1,2,1,1] => 252
[8,2,1,6,7,3,5,4] => 1100101 => [2,2,1,1,1] => 255
[6,2,8,1,7,5,3,4] => 1010110 => [1,1,1,1,2,1] => 345
[3,5,1,8,7,6,2,4] => 0101110 => [1,1,1,3,1] => 219
[1,4,2,3,6,5,8,7,9] => 01001010 => [1,1,2,1,1,1,1] => 1220
[1,3,4,2,6,5,8,7,9] => 00101010 => [2,1,1,1,1,1,1] => 1001
[1,4,2,3,6,5,8,7,10,9] => 010010101 => [1,1,2,1,1,1,1,1] => 4202
[2,3,1,4,6,5,8,7,9] => 01001010 => [1,1,2,1,1,1,1] => 1220
[4,6,1,2,3,5,8,7,9] => 01000010 => [1,1,4,1,1] => 450
[3,4,5,1,6,2,8,7,9] => 00101010 => [2,1,1,1,1,1,1] => 1001
[3,1,2,4,6,5,8,7,9] => 10001010 => [1,3,1,1,1,1] => 770
[1,3,4,2,6,5,8,7,10,9] => 001010101 => [2,1,1,1,1,1,1,1] => 3432
[4,7,3,5,6,1,2,8] => 0100100 => [1,1,2,1,2] => 252
[4,7,8,3,5,6,1,2] => 0010010 => [2,1,2,1,1] => 252
[2,1,3,4,5,6,9,7,8] => 10000010 => [1,5,1,1] => 170
[1,2,3,4,5,7,8,6,9] => 00000010 => [6,1,1] => 35
[2,1,3,4,5,6,7,10,8,9] => 100000010 => [1,6,1,1] => 254
[3,2,5,6,8,4,7,1] => 1000101 => [1,3,1,1,1] => 219
[8,4,5,2,6,3,7,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[2,5,6,4,8,3,7,1] => 0010101 => [2,1,1,1,1,1] => 297
[4,2,5,7,3,8,1,6] => 1001010 => [1,2,1,1,1,1] => 345
[4,7,3,1,6,8,2,5] => 0110010 => [1,2,2,1,1] => 295
[4,2,7,6,8,1,3,5] => 1010100 => [1,1,1,1,1,2] => 297
[1,7,4,6,8,3,2,5] => 0100110 => [1,1,2,2,1] => 295
[4,7,2,5,6,3,1,8] => 0100110 => [1,1,2,2,1] => 295
[5,4,1,3,7,8,2,6] => 1100010 => [2,3,1,1] => 171
[6,1,5,8,3,7,2,4] => 1001010 => [1,2,1,1,1,1] => 345
[4,1,3,5,7,8,2,6] => 1000010 => [1,4,1,1] => 107
[6,1,5,8,4,3,2,7] => 1001110 => [1,2,3,1] => 185
[7,2,1,6,8,3,5,4] => 1100101 => [2,2,1,1,1] => 255
[5,6,4,1,8,3,2,7] => 0110110 => [1,2,1,2,1] => 281
[2,3,7,8,5,1,6,4] => 0001101 => [3,2,1,1] => 145
[4,1,7,6,2,3,8,5] => 1011001 => [1,1,2,2,1] => 295
[1,2,6,7,4,3,5,8] => 0001100 => [3,2,2] => 105
[10,2,3,4,5,6,7,8,1,9] => 100000010 => [1,6,1,1] => 254
[7,1,9,3,4,5,6,2,8] => 10100010 => [1,1,1,3,1,1] => 842
[5,8,6,3,4,1,2,7] => 0110100 => [1,2,1,1,2] => 241
[3,10,1,4,5,6,7,8,9,2] => 010000001 => [1,1,6,1] => 254
[8,1,10,3,4,5,6,7,2,9] => 101000010 => [1,1,1,4,1,1] => 1754
[7,2,1,9,4,5,6,3,8] => 11010010 => [2,1,1,2,1,1] => 861
[6,9,7,3,4,5,1,2,8] => 01100100 => [1,2,2,1,2] => 731
[6,2,3,1,8,5,4,7] => 1010110 => [1,1,1,1,2,1] => 345
[5,1,2,6,4,8,3,7] => 1001010 => [1,2,1,1,1,1] => 345
[8,6,2,3,7,5,1,4] => 1100110 => [2,2,2,1] => 211
[3,8,1,2,9,5,6,7,4] => 01001001 => [1,1,2,1,2,1] => 1006
[8,7,9,1,2,3,4,5,6] => 10100000 => [1,1,1,5] => 110
[8,2,1,10,4,5,6,7,3,9] => 110100010 => [2,1,1,3,1,1] => 2172
[7,10,8,3,4,5,6,1,2,9] => 011000100 => [1,2,3,1,2] => 1942
[7,2,3,1,9,5,6,4,8] => 10101010 => [1,1,1,1,1,1,1,1] => 1430
[6,1,2,7,4,5,9,3,8] => 10010010 => [1,2,1,2,1,1] => 1006
[5,9,6,3,4,1,7,2,8] => 01101010 => [1,2,1,1,1,1,1] => 1166
[4,5,2,8,6,1,3,7] => 0101100 => [1,1,1,2,2] => 255
[3,4,8,2,5,6,1,7] => 0010010 => [2,1,2,1,1] => 252
[3,8,1,4,2,9,6,7,5] => 01010101 => [1,1,1,1,1,1,1,1] => 1430
[9,7,2,3,8,5,6,1,4] => 11001010 => [2,2,1,1,1,1] => 875
[3,9,1,2,10,5,6,7,8,4] => 010010001 => [1,1,2,1,3,1] => 2407
[2,8,3,6,7,4,5,1] => 0100101 => [1,1,2,1,1,1] => 359
[6,8,2,7,5,3,1,4] => 0101110 => [1,1,1,3,1] => 219
[6,3,2,5,8,4,1,7] => 1100110 => [2,2,2,1] => 211
[5,6,7,2,8,4,1,3] => 0010110 => [2,1,1,2,1] => 241
[5,8,3,6,4,1,7,2] => 0101101 => [1,1,1,2,1,1] => 359
[4,3,8,5,2,7,1,6] => 1011010 => [1,1,2,1,1,1] => 359
[2,8,4,5,1,6,3,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,2,5,8,4,7,1,6] => 1001010 => [1,2,1,1,1,1] => 345
[2,5,8,1,3,4,7,6] => 0010001 => [2,1,3,1] => 157
[3,5,1,8,7,4,2,6] => 0101110 => [1,1,1,3,1] => 219
[4,6,1,3,8,2,7,5] => 0100101 => [1,1,2,1,1,1] => 359
[8,6,1,2,3,5,7,4] => 1100001 => [2,4,1] => 81
[5,1,7,8,3,2,4,6] => 1001100 => [1,2,2,2] => 211
[3,1,7,6,2,8,5,4] => 1011011 => [1,1,2,1,2] => 252
[5,3,6,7,4,2,8,1] => 1001101 => [1,2,2,1,1] => 295
[5,4,2,8,6,7,3,1] => 1101011 => [2,1,1,1,2] => 207
[6,1,4,2,8,7,3,5] => 1010110 => [1,1,1,1,2,1] => 345
[3,7,2,6,8,4,5,1] => 0100101 => [1,1,2,1,1,1] => 359
[4,6,5,2,7,8,3,1] => 0110011 => [1,2,2,2] => 211
[5,4,6,2,7,8,3,1] => 1010011 => [1,1,1,2,2] => 255
[5,1,8,6,4,2,7,3] => 1011101 => [1,1,3,1,1] => 233
[6,2,1,8,5,7,4,3] => 1101011 => [2,1,1,1,2] => 207
[5,4,6,2,3,1,8,7] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,5,7,8,1,3,4,2] => 1001001 => [1,2,1,2,1] => 281
[2,1,7,6,8,4,5,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,4,7,2,8,3,1,5] => 1010110 => [1,1,1,1,2,1] => 345
[6,3,2,7,8,4,5,1] => 1100101 => [2,2,1,1,1] => 255
[4,7,3,1,5,2,8,6] => 0110101 => [1,2,1,1,1,1] => 345
[2,1,4,7,5,3,8,6] => 1001101 => [1,2,2,1,1] => 295
[4,7,6,3,1,5,8,2] => 0111001 => [1,3,2,1] => 185
[2,7,3,1,8,5,4,6] => 0110110 => [1,2,1,2,1] => 281
[2,8,3,1,7,4,5,6] => 0110100 => [1,2,1,1,2] => 241
[7,6,8,9,1,2,3,4,5] => 10010000 => [1,2,1,4] => 235
[5,4,6,7,8,9,1,2,3] => 10000100 => [1,4,1,2] => 303
[1,5,6,8,3,2,4,7] => 0001100 => [3,2,2] => 105
[1,8,2,7,3,5,6,4] => 0101001 => [1,1,1,1,2,1] => 345
[1,7,4,8,6,5,3,2] => 0101111 => [1,1,1,4] => 75
[1,6,3,5,7,4,8,2] => 0100101 => [1,1,2,1,1,1] => 359
[1,5,4,7,2,8,3,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,8,5,2,6,1,7,4] => 0110101 => [1,2,1,1,1,1] => 345
[3,7,4,8,5,2,6,1] => 0101101 => [1,1,1,2,1,1] => 359
[8,1,2,6,5,3,4,7] => 1001100 => [1,2,2,2] => 211
[3,7,4,2,5,6,1,8] => 0110010 => [1,2,2,1,1] => 295
[6,8,7,1,3,4,2,5] => 0110010 => [1,2,2,1,1] => 295
[3,4,2,8,6,7,5,1] => 0101011 => [1,1,1,1,1,2] => 297
[3,7,8,6,1,4,2,5] => 0011010 => [2,2,1,1,1] => 255
[3,6,1,5,2,7,8,4] => 0101001 => [1,1,1,1,2,1] => 345
[8,1,2,6,3,5,7,4] => 1001001 => [1,2,1,2,1] => 281
[6,2,8,4,7,1,3,5] => 1010100 => [1,1,1,1,1,2] => 297
[3,7,8,4,2,5,6,1] => 0011001 => [2,2,2,1] => 211
[3,4,2,8,5,1,6,7] => 0101100 => [1,1,1,2,2] => 255
[1,4,3,2,5,6,7,8,9] => 01100000 => [1,2,5] => 98
[6,8,2,7,5,4,1,3] => 0101110 => [1,1,1,3,1] => 219
[1,8,4,3,7,6,2,5] => 0110110 => [1,2,1,2,1] => 281
[4,3,8,7,1,2,6,5] => 1011001 => [1,1,2,2,1] => 295
[1,8,4,5,7,6,2,3] => 0100110 => [1,1,2,2,1] => 295
[4,3,8,5,7,1,6,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,3,4,8,7,2,1,5] => 1001110 => [1,2,3,1] => 185
[5,3,8,4,7,1,6,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,2,8,7,1,4,6,3] => 1011001 => [1,1,2,2,1] => 295
[3,2,8,7,1,6,4,5] => 1011010 => [1,1,2,1,1,1] => 359
[2,7,8,3,1,6,4,5] => 0011010 => [2,2,1,1,1] => 255
[2,7,8,5,1,4,6,3] => 0011001 => [2,2,2,1] => 211
[3,5,8,7,4,1,6,2] => 0011101 => [2,3,1,1] => 171
[7,4,6,8,3,5,1,2] => 1001010 => [1,2,1,1,1,1] => 345
[2,7,8,1,3,6,4,5] => 0010010 => [2,1,2,1,1] => 252
[2,7,8,1,5,4,6,3] => 0010101 => [2,1,1,1,1,1] => 297
[2,7,8,1,4,5,6,3] => 0010001 => [2,1,3,1] => 157
[3,6,7,8,2,4,1,5] => 0001010 => [3,1,1,1,1] => 165
[4,5,7,8,6,3,1,2] => 0001110 => [3,3,1] => 95
[5,4,6,8,7,3,1,2] => 1001110 => [1,2,3,1] => 185
[4,5,8,6,7,1,3,2] => 0010101 => [2,1,1,1,1,1] => 297
[5,7,6,8,2,1,3,4] => 0101100 => [1,1,1,2,2] => 255
[3,7,6,8,2,4,1,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,4,7,8,6,3,1,2] => 1001110 => [1,2,3,1] => 185
[4,5,7,8,2,6,1,3] => 0001010 => [3,1,1,1,1] => 165
[4,5,6,8,7,3,1,2] => 0001110 => [3,3,1] => 95
[6,1,5,3,8,4,7,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[1,8,6,2,5,4,7,3] => 0110101 => [1,2,1,1,1,1] => 345
[3,8,4,1,7,5,2,6] => 0110110 => [1,2,1,2,1] => 281
[6,2,7,4,8,3,1,5] => 1010110 => [1,1,1,1,2,1] => 345
[2,8,5,1,4,3,7,6] => 0110101 => [1,2,1,1,1,1] => 345
[6,8,2,7,5,1,4,3] => 0101101 => [1,1,1,2,1,1] => 359
[8,3,4,5,6,1,7,2] => 1000101 => [1,3,1,1,1] => 219
[5,3,6,4,7,2,1,8] => 1010110 => [1,1,1,1,2,1] => 345
[4,2,6,5,7,3,1,8] => 1010110 => [1,1,1,1,2,1] => 345
[5,4,6,2,7,3,1,8] => 1010110 => [1,1,1,1,2,1] => 345
[3,2,6,5,8,4,1,7] => 1010110 => [1,1,1,1,2,1] => 345
[3,2,6,5,8,7,1,4] => 1010110 => [1,1,1,1,2,1] => 345
[4,2,6,5,8,7,1,3] => 1010110 => [1,1,1,1,2,1] => 345
[5,2,6,4,8,7,1,3] => 1010110 => [1,1,1,1,2,1] => 345
[5,4,7,6,8,2,1,3] => 1010110 => [1,1,1,1,2,1] => 345
[6,4,7,5,8,3,1,2] => 1010110 => [1,1,1,1,2,1] => 345
[4,2,7,5,8,6,1,3] => 1010110 => [1,1,1,1,2,1] => 345
[3,2,7,5,8,4,1,6] => 1010110 => [1,1,1,1,2,1] => 345
[4,3,7,2,8,5,1,6] => 1010110 => [1,1,1,1,2,1] => 345
[4,3,6,2,8,5,1,7] => 1010110 => [1,1,1,1,2,1] => 345
[4,3,7,6,8,5,1,2] => 1010110 => [1,1,1,1,2,1] => 345
[5,3,7,6,8,2,1,4] => 1010110 => [1,1,1,1,2,1] => 345
[5,3,7,2,8,6,1,4] => 1010110 => [1,1,1,1,2,1] => 345
[3,2,6,4,8,7,1,5] => 1010110 => [1,1,1,1,2,1] => 345
[4,2,7,3,8,6,1,5] => 1010110 => [1,1,1,1,2,1] => 345
[5,2,7,6,8,3,1,4] => 1010110 => [1,1,1,1,2,1] => 345
[3,2,7,6,8,4,1,5] => 1010110 => [1,1,1,1,2,1] => 345
[3,2,7,6,8,5,1,4] => 1010110 => [1,1,1,1,2,1] => 345
[6,2,7,5,8,4,1,3] => 1010110 => [1,1,1,1,2,1] => 345
[4,8,1,7,3,2,5,6] => 0101100 => [1,1,1,2,2] => 255
[3,7,4,8,2,1,5,6] => 0101100 => [1,1,1,2,2] => 255
[3,7,8,2,5,4,6,1] => 0010101 => [2,1,1,1,1,1] => 297
[4,7,5,8,3,2,6,1] => 0101101 => [1,1,1,2,1,1] => 359
[6,7,1,3,2,5,8,4] => 0101001 => [1,1,1,1,2,1] => 345
[8,7,6,4,1,5,3,2] => 1111011 => [4,1,2] => 55
[3,8,5,2,6,4,7,1] => 0110101 => [1,2,1,1,1,1] => 345
[7,2,5,3,4,8,1,6] => 1010010 => [1,1,1,2,1,1] => 359
[4,2,5,3,7,8,6,1] => 1010011 => [1,1,1,2,2] => 255
[5,3,6,2,4,1,8,7] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,8,6,2,3,5,4,1] => 0110011 => [1,2,2,2] => 211
[5,8,2,6,3,7,4,1] => 0101011 => [1,1,1,1,1,2] => 297
[4,8,2,3,7,5,6,1] => 0100101 => [1,1,2,1,1,1] => 359
[7,5,6,2,3,8,4,1] => 1010011 => [1,1,1,2,2] => 255
[2,7,5,6,4,3,8,1] => 0101101 => [1,1,1,2,1,1] => 359
[2,8,4,3,7,5,6,1] => 0110101 => [1,2,1,1,1,1] => 345
[3,8,5,7,6,4,2,1] => 0101111 => [1,1,1,4] => 75
[7,8,6,3,5,4,2,1] => 0110111 => [1,2,1,3] => 137
[2,7,6,3,8,5,4,1] => 0110111 => [1,2,1,3] => 137
[7,4,2,5,6,3,8,1] => 1100101 => [2,2,1,1,1] => 255
[6,2,7,5,3,8,4,1] => 1011011 => [1,1,2,1,2] => 252
[2,4,8,3,7,5,6,1] => 0010101 => [2,1,1,1,1,1] => 297
[4,8,3,7,5,6,2,1] => 0101011 => [1,1,1,1,1,2] => 297
[6,2,5,8,3,7,4,1] => 1001011 => [1,2,1,1,2] => 241
[4,7,3,8,2,5,6,1] => 0101001 => [1,1,1,1,2,1] => 345
[8,2,5,6,3,7,4,1] => 1001011 => [1,2,1,1,2] => 241
[4,5,3,7,1,2,6,8] => 0101000 => [1,1,1,1,3] => 165
[8,5,6,4,1,3,2,7] => 1011010 => [1,1,2,1,1,1] => 359
[6,7,2,8,4,3,1,5] => 0101110 => [1,1,1,3,1] => 219
[6,7,3,2,8,4,1,5] => 0110110 => [1,2,1,2,1] => 281
[4,7,8,3,1,5,2,6] => 0011010 => [2,2,1,1,1] => 255
[4,5,8,1,3,2,6,7] => 0010100 => [2,1,1,1,2] => 207
[4,7,8,1,6,3,2,5] => 0010110 => [2,1,1,2,1] => 241
[4,7,1,3,8,6,5,2] => 0100111 => [1,1,2,3] => 145
[2,6,7,4,3,8,1,5] => 0011010 => [2,2,1,1,1] => 255
[3,7,6,4,5,8,1,2] => 0110010 => [1,2,2,1,1] => 295
[5,7,2,8,3,4,6,1] => 0101001 => [1,1,1,1,2,1] => 345
[3,7,2,8,5,6,4,1] => 0101011 => [1,1,1,1,1,2] => 297
[3,1,5,8,6,4,7,2] => 1001101 => [1,2,2,1,1] => 295
[2,3,8,6,4,5,7,1] => 0011001 => [2,2,2,1] => 211
[2,3,8,6,4,7,5,1] => 0011011 => [2,2,1,2] => 180
[3,6,2,8,7,4,5,1] => 0101101 => [1,1,1,2,1,1] => 359
[2,5,6,1,8,7,3,4] => 0010110 => [2,1,1,2,1] => 241
[3,6,2,8,4,7,5,1] => 0101011 => [1,1,1,1,1,2] => 297
[2,3,8,5,7,4,6,1] => 0010101 => [2,1,1,1,1,1] => 297
[8,5,6,3,1,4,2,7] => 1011010 => [1,1,2,1,1,1] => 359
[8,3,5,1,6,4,2,7] => 1010110 => [1,1,1,1,2,1] => 345
[5,7,8,3,4,6,2,1] => 0010011 => [2,1,2,2] => 180
[3,5,1,8,6,4,2,7] => 0101110 => [1,1,1,3,1] => 219
[7,5,3,8,6,4,2,1] => 1101111 => [2,1,4] => 55
[5,1,3,8,6,4,2,7] => 1001110 => [1,2,3,1] => 185
[1,5,8,3,6,4,2,7] => 0010110 => [2,1,1,2,1] => 241
[7,5,8,3,6,4,2,1] => 1010111 => [1,1,1,1,3] => 165
[1,5,8,6,3,4,2,7] => 0011010 => [2,2,1,1,1] => 255
[3,7,5,8,2,6,4,1] => 0101011 => [1,1,1,1,1,2] => 297
[5,7,8,1,4,6,2,3] => 0010010 => [2,1,2,1,1] => 252
[1,3,7,8,4,2,6,5] => 0001101 => [3,2,1,1] => 145
[6,1,2,5,3,4,7,8] => 1001000 => [1,2,1,3] => 137
[5,1,4,6,7,3,2,8] => 1000110 => [1,3,2,1] => 185
[1,4,6,5,7,2,3,8] => 0010100 => [2,1,1,1,2] => 207
[6,7,3,5,4,1,2,8] => 0101100 => [1,1,1,2,2] => 255
[8,1,6,7,3,5,4,2] => 1001011 => [1,2,1,1,2] => 241
[4,2,5,1,3,7,6,8] => 1010010 => [1,1,1,2,1,1] => 359
[1,3,2,6,8,4,7,5] => 0100101 => [1,1,2,1,1,1] => 359
[8,2,5,4,1,6,7,3] => 1011001 => [1,1,2,2,1] => 295
[8,1,7,5,4,2,6,3] => 1011101 => [1,1,3,1,1] => 233
[1,2,6,4,7,3,5,8] => 0010100 => [2,1,1,1,2] => 207
[1,6,4,3,7,2,5,8] => 0110100 => [1,2,1,1,2] => 241
[5,7,8,3,2,6,1,4] => 0011010 => [2,2,1,1,1] => 255
[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] => 200
[2,3,6,5,7,8,9,4,1] => 00100011 => [2,1,3,2] => 452
[2,3,4,5,6,7,10,9,8,1] => 000000111 => [6,3] => 84
[2,3,4,5,8,9,7,6,1] => 00000111 => [5,3] => 56
[2,3,4,5,6,9,8,10,7,1] => 000001011 => [5,1,1,2] => 319
[8,4,5,1,3,7,6,2] => 1010011 => [1,1,1,2,2] => 255
[8,6,4,3,7,1,5,2] => 1110101 => [3,1,1,1,1] => 165
[7,5,6,8,1,3,2,4] => 1001010 => [1,2,1,1,1,1] => 345
[6,8,7,5,4,2,3,1] => 0111101 => [1,4,1,1] => 107
[7,3,1,8,6,5,2,4] => 1101110 => [2,1,3,1] => 157
[3,4,5,6,7,1,2,8,9] => 00001000 => [4,1,3] => 125
[2,7,3,1,4,8,6,5] => 0110011 => [1,2,2,2] => 211
[3,1,6,5,7,8,4,2] => 1010011 => [1,1,1,2,2] => 255
[4,3,1,5,8,7,6,2] => 1100111 => [2,2,3] => 105
[4,7,1,3,2,5,6,8] => 0101000 => [1,1,1,1,3] => 165
[4,1,6,7,3,2,8,5] => 1001101 => [1,2,2,1,1] => 295
[1,7,2,5,6,8,4,3] => 0100011 => [1,1,3,2] => 171
[4,7,6,8,3,1,5,2] => 0101101 => [1,1,1,2,1,1] => 359
[5,4,8,6,1,7,3,2] => 1011011 => [1,1,2,1,2] => 252
[3,5,4,7,1,8,6,2] => 0101011 => [1,1,1,1,1,2] => 297
[7,1,5,4,2,3,6,8] => 1011000 => [1,1,2,3] => 145
[7,1,3,6,4,5,2,8] => 1001010 => [1,2,1,1,1,1] => 345
[6,1,3,8,4,5,2,7] => 1001010 => [1,2,1,1,1,1] => 345
[2,1,8,7,3,6,5,4] => 1011011 => [1,1,2,1,2] => 252
[5,8,6,3,1,2,7,4] => 0111001 => [1,3,2,1] => 185
[5,8,2,7,1,3,6,4] => 0101001 => [1,1,1,1,2,1] => 345
[2,6,5,4,1,3,7,8] => 0111000 => [1,3,3] => 95
[4,1,5,7,6,3,2,8] => 1001110 => [1,2,3,1] => 185
[6,3,4,2,1,8,7,5] => 1011011 => [1,1,2,1,2] => 252
[4,5,1,7,6,3,2,8] => 0101110 => [1,1,1,3,1] => 219
[5,4,2,1,8,7,3,6] => 1110110 => [3,1,2,1] => 137
[6,2,1,5,4,3,8,7] => 1101101 => [2,1,2,1,1] => 252
[1,4,2,6,7,8,5,3] => 0100011 => [1,1,3,2] => 171
[1,4,2,5,6,8,7,3] => 0100011 => [1,1,3,2] => 171
[2,5,3,6,7,8,4,1] => 0100011 => [1,1,3,2] => 171
[1,8,6,2,4,3,5,7] => 0110100 => [1,2,1,1,2] => 241
[3,2,4,5,7,8,1,6] => 1000010 => [1,4,1,1] => 107
[2,3,4,7,5,8,6,1] => 0001011 => [3,1,1,2] => 117
[6,5,2,8,7,4,3,1] => 1101111 => [2,1,4] => 55
[7,8,5,4,2,1,6,3] => 0111101 => [1,4,1,1] => 107
[7,5,2,8,6,4,3,1] => 1101111 => [2,1,4] => 55
[7,8,3,2,6,5,4,1] => 0110111 => [1,2,1,3] => 137
[8,2,6,3,7,5,1,4] => 1010110 => [1,1,1,1,2,1] => 345
[8,6,7,2,5,3,1,4] => 1010110 => [1,1,1,1,2,1] => 345
[1,6,2,7,8,4,5,3] => 0100101 => [1,1,2,1,1,1] => 359
[8,6,2,7,5,4,1,3] => 1101110 => [2,1,3,1] => 157
[1,6,8,2,7,5,3,4] => 0010110 => [2,1,1,2,1] => 241
[7,6,3,2,8,1,5,4] => 1110101 => [3,1,1,1,1] => 165
[5,1,7,4,3,8,6,2] => 1011011 => [1,1,2,1,2] => 252
[8,6,3,7,2,4,1,5] => 1101010 => [2,1,1,1,1,1] => 297
[1,7,8,6,4,2,3,5] => 0011100 => [2,3,2] => 126
[7,2,8,6,4,1,3,5] => 1011100 => [1,1,3,2] => 171
[1,5,3,7,4,2,6,8] => 0101100 => [1,1,1,2,2] => 255
[1,7,6,4,3,2,8,5] => 0111101 => [1,4,1,1] => 107
[1,7,6,3,4,2,5,8] => 0110100 => [1,2,1,1,2] => 241
[1,2,7,4,3,8,6,5] => 0011011 => [2,2,1,2] => 180
[1,5,4,2,3,8,7,6] => 0110011 => [1,2,2,2] => 211
[1,5,3,2,4,6,7,8] => 0110000 => [1,2,4] => 65
[1,5,4,2,3,7,8,6] => 0110001 => [1,2,3,1] => 185
[1,2,7,6,3,5,8,4] => 0011001 => [2,2,2,1] => 211
[8,1,3,2,6,5,7,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[3,2,7,5,6,1,8,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,5,6,1,3,2,8,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,4,5,1,6,3,8,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,5,6,1,4,3,8,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,1,4,3,5,2,7,6] => 1010101 => [1,1,1,1,1,1,1] => 429
[10,5,9,4,8,3,7,2,6,1] => 101010101 => [1,1,1,1,1,1,1,1,1] => 4862
[1,3,5,2,4,7,6,9,8,10] => 001001010 => [2,1,2,1,1,1,1] => 3054
[2,3,5,1,4,7,6,9,8] => 00100101 => [2,1,2,1,1,1] => 875
[3,4,1,5,2,7,6,9,8] => 01010101 => [1,1,1,1,1,1,1,1] => 1430
[4,1,2,5,3,7,6,9,8] => 10010101 => [1,2,1,1,1,1,1] => 1166
[1,4,2,5,3,7,6,9,8,10] => 010101010 => [1,1,1,1,1,1,1,1,1] => 4862
[8,3,6,5,4,1,2,7] => 1011100 => [1,1,3,2] => 171
[1,7,5,8,4,6,3,2] => 0101011 => [1,1,1,1,1,2] => 297
[6,5,7,1,2,8,3,4] => 1010010 => [1,1,1,2,1,1] => 359
[7,1,4,2,3,8,6,5] => 1010011 => [1,1,1,2,2] => 255
[3,7,5,6,8,1,2,4] => 0100100 => [1,1,2,1,2] => 252
[8,1,2,5,3,7,6,4] => 1001011 => [1,2,1,1,2] => 241
[8,6,5,2,4,1,7,3] => 1110101 => [3,1,1,1,1] => 165
[3,6,5,2,4,1,7,8] => 0110100 => [1,2,1,1,2] => 241
[6,8,5,2,4,3,1,7] => 0110110 => [1,2,1,2,1] => 281
[3,4,2,8,6,7,1,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,6,7,2,5,1,8,3] => 0010101 => [2,1,1,1,1,1] => 297
[3,6,2,5,1,7,8,4] => 0101001 => [1,1,1,1,2,1] => 345
[3,4,2,7,8,1,5,6] => 0100100 => [1,1,2,1,2] => 252
[3,8,5,2,4,7,1,6] => 0110010 => [1,2,2,1,1] => 295
[10,3,1,5,6,7,8,9,2,4] => 110000010 => [2,5,1,1] => 624
[10,4,1,5,6,7,8,9,2,3] => 110000010 => [2,5,1,1] => 624
[7,1,4,2,5,8,6,3] => 1010011 => [1,1,1,2,2] => 255
[7,8,5,1,2,4,3,6] => 0110010 => [1,2,2,1,1] => 295
[5,8,1,4,3,6,7,2] => 0101001 => [1,1,1,1,2,1] => 345
[7,2,3,8,6,4,1,5] => 1001110 => [1,2,3,1] => 185
[5,2,3,8,7,4,1,6] => 1001110 => [1,2,3,1] => 185
[5,7,6,3,1,2,4,8] => 0111000 => [1,3,3] => 95
[4,2,6,8,1,3,5,7,9] => 10010000 => [1,2,1,4] => 235
[4,6,2,8,1,3,5,7,9] => 01010000 => [1,1,1,1,4] => 275
[4,6,8,2,1,3,5,7,9] => 00110000 => [2,2,4] => 185
[4,6,2,7,8,1,3,5] => 0100100 => [1,1,2,1,2] => 252
[4,6,8,2,9,1,3,5,7] => 00101000 => [2,1,1,1,3] => 407
[4,6,2,7,9,1,3,5,8] => 01001000 => [1,1,2,1,3] => 502
[6,2,3,7,1,4,5,8] => 1001000 => [1,2,1,3] => 137
[4,2,5,7,9,1,3,6,8] => 10001000 => [1,3,1,3] => 332
[2,3,5,7,9,1,4,6,8] => 00001000 => [4,1,3] => 125
[4,2,6,8,10,1,3,5,7,9] => 100010000 => [1,3,1,4] => 626
[6,4,2,8,1,3,5,7,9] => 11010000 => [2,1,1,4] => 200
[4,6,2,8,10,1,3,5,7,9] => 010010000 => [1,1,2,1,4] => 901
[8,4,6,2,1,3,5,7,9] => 10110000 => [1,1,2,4] => 250
[4,6,8,2,10,1,3,5,7,9] => 001010000 => [2,1,1,1,4] => 726
[4,6,8,9,2,1,3,5,7] => 00011000 => [3,2,3] => 226
[4,6,8,10,2,1,3,5,7,9] => 000110000 => [3,2,4] => 431
[4,6,7,8,2,1,3,5] => 0001100 => [3,2,2] => 105
[4,6,2,7,1,3,5,8,9] => 01010000 => [1,1,1,1,4] => 275
[4,6,8,2,9,1,3,5,7,10] => 001010000 => [2,1,1,1,4] => 726
[4,8,2,5,9,1,3,6,7] => 01001000 => [1,1,2,1,3] => 502
[4,6,2,7,9,1,3,5,8,10] => 010010000 => [1,1,2,1,4] => 901
[6,2,3,7,9,1,4,5,8] => 10001000 => [1,3,1,3] => 332
[4,2,5,7,9,1,3,6,8,10] => 100010000 => [1,3,1,4] => 626
[1,4,5,7,9,2,3,6,8] => 00001000 => [4,1,3] => 125
[2,3,5,7,9,1,4,6,8,10] => 000010000 => [4,1,4] => 251
[8,6,3,2,1,7,5,4] => 1111011 => [4,1,2] => 55
[5,3,4,1,7,8,2,6] => 1010010 => [1,1,1,2,1,1] => 359
[8,6,4,9,7,5,3,2,1] => 11011111 => [2,1,5] => 83
[7,8,5,9,6,4,3,2,1] => 01011111 => [1,1,1,5] => 110
[8,6,4,2,9,7,5,3,1] => 11101111 => [3,1,4] => 125
[7,8,5,3,9,6,4,2,1] => 01101111 => [1,2,1,4] => 235
[7,4,8,5,9,6,3,2,1] => 10101111 => [1,1,1,1,4] => 275
[6,7,8,4,9,5,3,2,1] => 00101111 => [2,1,1,4] => 200
[7,8,5,3,1,9,6,4,2] => 01110111 => [1,3,1,3] => 332
[7,4,8,5,2,9,6,3,1] => 10110111 => [1,1,2,1,3] => 502
[6,7,8,4,2,9,5,3,1] => 00110111 => [2,2,1,3] => 365
[6,7,3,8,4,9,5,2,1] => 01010111 => [1,1,1,1,1,3] => 572
[5,6,7,8,3,9,4,2,1] => 00010111 => [3,1,1,3] => 242
[6,7,3,8,4,1,9,5,2] => 01011011 => [1,1,1,2,1,2] => 875
[5,6,7,8,3,1,9,4,2] => 00011011 => [3,2,1,2] => 371
[6,2,7,3,8,4,9,5,1] => 10101011 => [1,1,1,1,1,1,2] => 1001
[5,6,7,2,8,3,9,4,1] => 00101011 => [2,1,1,1,1,2] => 704
[4,5,6,7,8,2,9,3,1] => 00001011 => [4,1,1,2] => 200
[5,6,1,7,2,8,3,9,4] => 01010101 => [1,1,1,1,1,1,1,1] => 1430
[4,5,6,7,1,8,2,9,3] => 00010101 => [3,1,1,1,1,1] => 572
[9,7,10,8,6,5,4,3,2,1] => 101111111 => [1,1,7] => 44
[9,7,5,10,8,6,4,3,2,1] => 110111111 => [2,1,6] => 119
[8,9,6,10,7,5,4,3,2,1] => 010111111 => [1,1,1,6] => 154
[9,7,5,3,10,8,6,4,2,1] => 111011111 => [3,1,5] => 209
[8,9,6,4,10,7,5,3,2,1] => 011011111 => [1,2,1,5] => 375
[8,5,9,6,10,7,4,3,2,1] => 101011111 => [1,1,1,1,5] => 429
[7,8,9,5,10,6,4,3,2,1] => 001011111 => [2,1,1,5] => 319
[8,9,6,4,2,10,7,5,3,1] => 011101111 => [1,3,1,4] => 626
[8,5,9,6,3,10,7,4,2,1] => 101101111 => [1,1,2,1,4] => 901
[7,8,9,5,3,10,6,4,2,1] => 001101111 => [2,2,1,4] => 666
[7,8,4,9,5,10,6,3,2,1] => 010101111 => [1,1,1,1,1,4] => 1001
[6,7,8,9,4,10,5,3,2,1] => 000101111 => [3,1,1,4] => 451
[8,5,9,6,3,1,10,7,4,2] => 101110111 => [1,1,3,1,3] => 1330
[7,8,9,5,3,1,10,6,4,2] => 001110111 => [2,3,1,3] => 998
[8,5,2,9,6,3,10,7,4,1] => 110110111 => [2,1,2,1,3] => 1304
[6,7,8,9,4,2,10,5,3,1] => 000110111 => [3,2,1,3] => 802
[7,3,8,4,9,5,10,6,2,1] => 101010111 => [1,1,1,1,1,1,3] => 2002
[6,7,8,3,9,4,10,5,2,1] => 001010111 => [2,1,1,1,1,3] => 1430
[5,6,7,8,9,3,10,4,2,1] => 000010111 => [4,1,1,3] => 451
[7,8,4,1,9,5,2,10,6,3] => 011011011 => [1,2,1,2,1,2] => 2550
[7,3,8,4,9,5,1,10,6,2] => 101011011 => [1,1,1,1,2,1,2] => 3054
[6,7,8,3,9,4,1,10,5,2] => 001011011 => [2,1,1,2,1,2] => 2179
[5,6,7,8,9,3,1,10,4,2] => 000011011 => [4,2,1,2] => 681
[6,7,2,8,3,9,4,10,5,1] => 010101011 => [1,1,1,1,1,1,1,2] => 3432
[5,6,7,8,2,9,3,10,4,1] => 000101011 => [3,1,1,1,1,2] => 1430
[4,5,6,7,8,9,2,10,3,1] => 000001011 => [5,1,1,2] => 319
[5,6,7,1,8,2,9,3,10,4] => 001010101 => [2,1,1,1,1,1,1,1] => 3432
[4,5,6,7,8,1,9,2,10,3] => 000010101 => [4,1,1,1,1,1] => 1001
[6,1,3,4,2,5,8,7] => 1001001 => [1,2,1,2,1] => 281
[5,1,3,6,2,4,8,7] => 1001001 => [1,2,1,2,1] => 281
[1,5,7,6,8,2,4,3] => 0010101 => [2,1,1,1,1,1] => 297
[5,7,1,3,8,4,2,6] => 0100110 => [1,1,2,2,1] => 295
[2,6,1,4,3,7,8,5] => 0101001 => [1,1,1,1,2,1] => 345
[1,6,2,4,3,5,8,7] => 0101001 => [1,1,1,1,2,1] => 345
[5,3,7,6,1,8,4,2] => 1011011 => [1,1,2,1,2] => 252
[1,5,6,3,7,8,4,2] => 0010011 => [2,1,2,2] => 180
[1,5,7,6,3,8,4,2] => 0011011 => [2,2,1,2] => 180
[7,3,5,6,1,8,4,2] => 1001011 => [1,2,1,1,2] => 241
[1,6,3,7,8,5,4,2] => 0100111 => [1,1,2,3] => 145
[1,7,8,6,3,5,4,2] => 0011011 => [2,2,1,2] => 180
[3,7,5,6,1,8,4,2] => 0101011 => [1,1,1,1,1,2] => 297
[5,6,2,8,4,7,3,1] => 0101011 => [1,1,1,1,1,2] => 297
[5,7,6,3,4,8,1,2] => 0110010 => [1,2,2,1,1] => 295
[3,7,5,4,6,1,2,8] => 0110100 => [1,2,1,1,2] => 241
[5,3,4,7,6,8,1,2] => 1001010 => [1,2,1,1,1,1] => 345
[5,3,7,4,6,1,2,8] => 1010100 => [1,1,1,1,1,2] => 297
[7,3,5,4,6,1,2,8] => 1010100 => [1,1,1,1,1,2] => 297
[7,8,3,5,4,1,2,6] => 0101100 => [1,1,1,2,2] => 255
[7,3,5,4,1,2,6,8] => 1011000 => [1,1,2,3] => 145
[5,7,6,3,4,1,2,8] => 0110100 => [1,2,1,1,2] => 241
[3,5,4,1,2,7,6,8] => 0110010 => [1,2,2,1,1] => 295
[5,7,6,1,3,2,4,8] => 0110100 => [1,2,1,1,2] => 241
[5,3,4,1,2,7,6,8] => 1010010 => [1,1,1,2,1,1] => 359
[7,8,3,1,2,5,4,6] => 0110010 => [1,2,2,1,1] => 295
[7,8,5,1,3,2,4,6] => 0110100 => [1,2,1,1,2] => 241
[7,5,6,1,3,2,4,8] => 1010100 => [1,1,1,1,1,2] => 297
[7,5,1,3,8,6,2,4] => 1100110 => [2,2,2,1] => 211
[7,1,3,8,2,5,4,6] => 1001010 => [1,2,1,1,1,1] => 345
[3,1,5,4,7,2,6,8] => 1010100 => [1,1,1,1,1,2] => 297
[5,7,6,1,3,8,2,4] => 0110010 => [1,2,2,1,1] => 295
[5,7,6,3,8,1,4,2] => 0110101 => [1,2,1,1,1,1] => 345
[5,1,3,7,6,2,4,8] => 1001100 => [1,2,2,2] => 211
[1,6,3,7,2,4,5,8] => 0101000 => [1,1,1,1,3] => 165
[5,3,2,4,8,1,7,6] => 1100101 => [2,2,1,1,1] => 255
[6,8,5,3,2,7,1,4] => 0111010 => [1,3,1,1,1] => 219
[8,3,7,2,6,5,1,4] => 1010110 => [1,1,1,1,2,1] => 345
[4,6,2,7,1,3,8,5] => 0101001 => [1,1,1,1,2,1] => 345
[3,4,6,5,1,8,7,2] => 0011011 => [2,2,1,2] => 180
[8,7,1,5,3,2,6,4] => 1101101 => [2,1,2,1,1] => 252
[3,5,1,4,7,2,8,6] => 0100101 => [1,1,2,1,1,1] => 359
[5,1,4,8,7,3,2,6] => 1001110 => [1,2,3,1] => 185
[6,1,3,4,2,7,8,5] => 1001001 => [1,2,1,2,1] => 281
[6,5,2,3,7,8,1,4] => 1100010 => [2,3,1,1] => 171
[1,5,3,8,4,2,7,6] => 0101101 => [1,1,1,2,1,1] => 359
[5,4,2,1,8,3,7,6] => 1110101 => [3,1,1,1,1] => 165
[3,1,7,4,2,6,8,5] => 1011001 => [1,1,2,2,1] => 295
[7,4,8,2,3,5,1,6] => 1010010 => [1,1,1,2,1,1] => 359
[8,4,1,3,2,6,7,5] => 1101001 => [2,1,1,2,1] => 241
[8,1,7,3,2,5,6,4] => 1011001 => [1,1,2,2,1] => 295
[8,6,5,2,7,3,1,4] => 1110110 => [3,1,2,1] => 137
[3,1,6,8,4,2,7,5] => 1001101 => [1,2,2,1,1] => 295
[1,5,2,8,3,6,7,4] => 0101001 => [1,1,1,1,2,1] => 345
[2,3,4,5,9,6,7,8,1] => 00001001 => [4,1,2,1] => 235
[2,3,4,9,5,6,7,8,1] => 00010001 => [3,1,3,1] => 332
[2,3,9,4,5,6,7,8,1] => 00100001 => [2,1,4,1] => 303
[2,3,4,5,6,7,10,8,9,1] => 000000101 => [6,1,1,1] => 154
[2,3,4,5,9,7,6,8,1] => 00001101 => [4,2,1,1] => 250
[2,3,4,5,6,10,7,8,9,1] => 000001001 => [5,1,2,1] => 375
[2,3,4,9,6,5,7,8,1] => 00011001 => [3,2,2,1] => 436
[2,3,9,5,4,6,7,8,1] => 00110001 => [2,2,3,1] => 500
[2,3,4,10,5,6,7,8,9,1] => 000100001 => [3,1,4,1] => 709
[2,9,4,3,5,6,7,8,1] => 01100001 => [1,2,4,1] => 358
[2,3,10,4,5,6,7,8,9,1] => 001000001 => [2,1,5,1] => 534
[2,3,4,5,9,7,8,6,1] => 00001011 => [4,1,1,2] => 200
[5,6,2,3,7,4,1,8] => 0100110 => [1,1,2,2,1] => 295
[6,2,4,7,3,5,1,8] => 1001010 => [1,2,1,1,1,1] => 345
[1,4,8,5,3,6,7,2] => 0011001 => [2,2,2,1] => 211
[2,5,6,3,1,8,4,7] => 0011010 => [2,2,1,1,1] => 255
[4,5,1,2,7,8,6,3] => 0100011 => [1,1,3,2] => 171
[4,8,5,1,2,6,7,3] => 0110001 => [1,2,3,1] => 185
[4,6,7,5,1,2,8,3] => 0011001 => [2,2,2,1] => 211
[7,2,8,1,4,5,3,6] => 1010010 => [1,1,1,2,1,1] => 359
[6,1,4,7,3,8,2,5] => 1001010 => [1,2,1,1,1,1] => 345
[7,1,6,3,4,8,2,5] => 1010010 => [1,1,1,2,1,1] => 359
[2,8,4,6,3,1,5,7] => 0101100 => [1,1,1,2,2] => 255
[8,2,6,3,5,1,4,7] => 1010100 => [1,1,1,1,1,2] => 297
[3,7,4,1,5,8,2,6] => 0110010 => [1,2,2,1,1] => 295
[3,8,4,1,7,2,5,6] => 0110100 => [1,2,1,1,2] => 241
[6,7,5,1,3,8,2,4] => 0110010 => [1,2,2,1,1] => 295
[8,5,1,3,6,7,2,4] => 1100010 => [2,3,1,1] => 171
[7,8,6,2,4,1,3,5] => 0110100 => [1,2,1,1,2] => 241
[8,2,4,1,3,6,7,5] => 1010001 => [1,1,1,3,1] => 219
[8,1,3,6,2,5,7,4] => 1001001 => [1,2,1,2,1] => 281
[1,5,6,3,8,4,7,2] => 0010101 => [2,1,1,1,1,1] => 297
[5,6,1,3,7,2,8,4] => 0100101 => [1,1,2,1,1,1] => 359
[5,6,1,8,2,3,7,4] => 0101001 => [1,1,1,1,2,1] => 345
[5,6,1,2,8,4,7,3] => 0100101 => [1,1,2,1,1,1] => 359
[3,7,8,1,6,4,2,5] => 0010110 => [2,1,1,2,1] => 241
[1,7,8,6,3,4,2,5] => 0011010 => [2,2,1,1,1] => 255
[1,7,3,8,6,4,2,5] => 0101110 => [1,1,1,3,1] => 219
[5,7,1,8,6,4,2,3] => 0101110 => [1,1,1,3,1] => 219
[7,8,1,5,6,4,2,3] => 0100110 => [1,1,2,2,1] => 295
[7,1,8,5,6,4,2,3] => 1010110 => [1,1,1,1,2,1] => 345
[7,1,5,8,6,4,2,3] => 1001110 => [1,2,3,1] => 185
[8,1,3,5,6,4,2,7] => 1000110 => [1,3,2,1] => 185
[1,3,8,5,6,4,2,7] => 0010110 => [2,1,1,2,1] => 241
[1,3,5,8,6,4,2,7] => 0001110 => [3,3,1] => 95
[1,5,7,8,6,4,2,3] => 0001110 => [3,3,1] => 95
[3,2,4,1,6,5,8,7,10,9] => 101010101 => [1,1,1,1,1,1,1,1,1] => 4862
[3,2,5,4,7,6,9,8,10,1] => 101010101 => [1,1,1,1,1,1,1,1,1] => 4862
[1,8,2,6,5,3,4,7] => 0101100 => [1,1,1,2,2] => 255
[8,6,1,5,2,3,4,7] => 1101000 => [2,1,1,3] => 117
[8,5,1,6,2,3,4,7] => 1101000 => [2,1,1,3] => 117
[7,6,1,2,3,8,4,5] => 1100010 => [2,3,1,1] => 171
[2,7,8,4,1,3,5,6] => 0011000 => [2,2,3] => 105
[6,8,1,2,3,7,4,5] => 0100010 => [1,1,3,1,1] => 233
[8,1,3,5,6,7,2,4] => 1000010 => [1,4,1,1] => 107
[8,1,2,5,3,4,7,6] => 1001001 => [1,2,1,2,1] => 281
[5,2,7,3,4,8,1,6] => 1010010 => [1,1,1,2,1,1] => 359
[8,6,4,7,3,5,2,1] => 1101011 => [2,1,1,1,2] => 207
[4,2,1,6,5,7,8,3] => 1101001 => [2,1,1,2,1] => 241
[2,7,5,4,1,3,6,8] => 0111000 => [1,3,3] => 95
[2,7,4,6,5,1,8,3] => 0101101 => [1,1,1,2,1,1] => 359
[6,8,7,5,2,1,4,3] => 0111101 => [1,4,1,1] => 107
[2,8,6,3,5,1,4,7] => 0110100 => [1,2,1,1,2] => 241
[1,2,8,6,4,5,3,7] => 0011010 => [2,2,1,1,1] => 255
[1,5,8,7,6,3,4,2] => 0011101 => [2,3,1,1] => 171
[1,6,4,8,5,7,3,2] => 0101011 => [1,1,1,1,1,2] => 297
[1,6,8,5,2,7,3,4] => 0011010 => [2,2,1,1,1] => 255
[1,6,8,5,4,2,3,7] => 0011100 => [2,3,2] => 126
[2,1,8,3,4,5,6,7,9] => 10100000 => [1,1,1,5] => 110
[3,1,6,4,2,5,8,7] => 1011001 => [1,1,2,2,1] => 295
[5,4,2,3,6,8,1,7] => 1100010 => [2,3,1,1] => 171
[8,2,6,3,5,7,1,4] => 1010010 => [1,1,1,2,1,1] => 359
[3,1,7,8,6,2,5,4] => 1001101 => [1,2,2,1,1] => 295
[2,8,1,6,5,3,7,4] => 0101101 => [1,1,1,2,1,1] => 359
[2,1,5,7,6,3,8,4] => 1001101 => [1,2,2,1,1] => 295
[4,3,5,1,7,8,6,2] => 1010011 => [1,1,1,2,2] => 255
[1,8,5,2,3,4,7,6] => 0110001 => [1,2,3,1] => 185
[1,9,6,2,3,4,5,8,7] => 01100001 => [1,2,4,1] => 358
[1,5,8,2,3,4,7,6] => 0010001 => [2,1,3,1] => 157
[1,2,7,8,4,5,6,3] => 0001001 => [3,1,2,1] => 137
[1,2,3,4,5,6,9,7,10,8] => 000000101 => [6,1,1,1] => 154
[2,3,4,5,6,9,10,1,7,8] => 000000100 => [6,1,2] => 119
[4,3,8,7,6,2,5,1] => 1011101 => [1,1,3,1,1] => 233
[5,4,8,2,7,6,3,1] => 1010111 => [1,1,1,1,3] => 165
[2,3,6,1,7,5,8,4] => 0010101 => [2,1,1,1,1,1] => 297
[4,6,5,2,1,7,8,3] => 0111001 => [1,3,2,1] => 185
[4,6,1,7,5,8,3,2] => 0101011 => [1,1,1,1,1,2] => 297
[4,1,5,7,6,8,3,2] => 1001011 => [1,2,1,1,2] => 241
[3,5,6,2,1,4,7,8] => 0011000 => [2,2,3] => 105
[4,3,6,5,1,7,8,2] => 1011001 => [1,1,2,2,1] => 295
[4,6,5,3,1,7,8,2] => 0111001 => [1,3,2,1] => 185
[1,2,3,4,5,7,6,8,9,10] => 000001000 => [5,1,3] => 209
[1,2,3,5,4,6,7,8,9,10] => 000100000 => [3,1,5] => 209
[1,2,3,5,4,7,6,9,8,10] => 000101010 => [3,1,1,1,1,1,1] => 2002
[5,8,1,4,2,3,6,7] => 0101000 => [1,1,1,1,3] => 165
[4,5,8,2,3,1,6,7] => 0010100 => [2,1,1,1,2] => 207
[3,5,4,8,1,7,2,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,3,6,8,1,4,7,2] => 1001001 => [1,2,1,2,1] => 281
[3,5,1,8,6,4,7,2] => 0101101 => [1,1,1,2,1,1] => 359
[4,7,2,8,3,1,6,5] => 0101101 => [1,1,1,2,1,1] => 359
[1,2,5,6,8,3,7,4] => 0000101 => [4,1,1,1] => 75
[5,3,8,4,6,2,7,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,4,8,1,5,2,6,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,3,2,1,6,5,7,4] => 1110101 => [3,1,1,1,1] => 165
[4,1,5,6,8,7,2,3] => 1000110 => [1,3,2,1] => 185
[1,2,5,6,8,4,7,3] => 0000101 => [4,1,1,1] => 75
[1,5,6,8,4,7,2,3] => 0001010 => [3,1,1,1,1] => 165
[5,6,8,1,2,4,7,3] => 0010001 => [2,1,3,1] => 157
[6,8,1,4,5,7,2,3] => 0100010 => [1,1,3,1,1] => 233
[4,3,5,1,8,6,7,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[1,3,5,6,8,4,7,2] => 0000101 => [4,1,1,1] => 75
[5,6,8,2,3,4,7,1] => 0010001 => [2,1,3,1] => 157
[9,8,7,4,5,6,3,2,1] => 11100111 => [3,2,3] => 226
[6,5,1,2,4,8,7,3] => 1100011 => [2,3,2] => 126
[5,8,7,2,1,3,6,4] => 0111001 => [1,3,2,1] => 185
[5,1,7,2,8,6,3,4] => 1010110 => [1,1,1,1,2,1] => 345
[6,1,5,3,4,8,7,2] => 1010011 => [1,1,1,2,2] => 255
[5,8,6,3,2,1,4,7] => 0111100 => [1,4,2] => 81
[8,7,1,6,3,5,4,2] => 1101011 => [2,1,1,1,2] => 207
[3,2,1,7,8,6,4,5] => 1100110 => [2,2,2,1] => 211
[8,6,7,1,2,5,3,4] => 1010010 => [1,1,1,2,1,1] => 359
[1,5,6,4,2,8,7,3] => 0011011 => [2,2,1,2] => 180
[7,5,1,4,8,2,3,6] => 1100100 => [2,2,1,2] => 180
[3,2,8,1,7,5,6,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,4,3,1,7,5,6,2] => 1110101 => [3,1,1,1,1] => 165
[6,1,7,8,4,2,3,5] => 1001100 => [1,2,2,2] => 211
[7,4,3,1,8,5,2,6] => 1110110 => [3,1,2,1] => 137
[7,8,1,6,3,4,5,2] => 0101001 => [1,1,1,1,2,1] => 345
[6,8,1,7,3,4,2,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,5,6,7,8,9,2,3,4] => 00000100 => [5,1,2] => 83
[1,8,9,10,2,3,4,5,6,7] => 000100000 => [3,1,5] => 209
[1,7,2,8,9,3,4,5,6] => 01001000 => [1,1,2,1,3] => 502
[1,6,2,7,8,9,3,4,5] => 01000100 => [1,1,3,1,2] => 609
[1,5,2,6,7,8,9,3,4] => 01000010 => [1,1,4,1,1] => 450
[1,5,6,7,8,9,10,2,3,4] => 000000100 => [6,1,2] => 119
[3,4,2,1,5,6,7,8,9] => 01100000 => [1,2,5] => 98
[4,3,1,2,5,6,7,8,9] => 11000000 => [2,6] => 28
[3,4,2,1,5,6,7,8,9,10] => 011000000 => [1,2,6] => 140
[4,5,2,1,3,6,7,8,9] => 01100000 => [1,2,5] => 98
[3,4,2,5,1,6,7,8,9] => 01010000 => [1,1,1,1,4] => 275
[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] => 110
[4,3,1,2,5,6,7,8,9,10] => 110000000 => [2,7] => 36
[4,6,5,3,8,2,7,1] => 0110101 => [1,2,1,1,1,1] => 345
[4,5,6,3,8,1,7,2] => 0010101 => [2,1,1,1,1,1] => 297
[7,8,3,5,2,1,6,4] => 0101101 => [1,1,1,2,1,1] => 359
[6,3,7,5,2,4,1,8] => 1011010 => [1,1,2,1,1,1] => 359
[6,2,4,5,7,3,1,8] => 1000110 => [1,3,2,1] => 185
[7,8,1,5,6,4,3,2] => 0100111 => [1,1,2,3] => 145
[6,3,7,5,1,4,2,8] => 1011010 => [1,1,2,1,1,1] => 359
[1,3,8,2,4,6,7,5] => 0010001 => [2,1,3,1] => 157
[6,1,7,3,4,2,5,8] => 1010100 => [1,1,1,1,1,2] => 297
[3,1,7,2,5,8,6,4] => 1010011 => [1,1,1,2,2] => 255
[2,8,7,6,3,5,1,4] => 0111010 => [1,3,1,1,1] => 219
[2,8,7,1,5,6,4,3] => 0110011 => [1,2,2,2] => 211
[3,5,6,2,8,1,7,4] => 0010101 => [2,1,1,1,1,1] => 297
[5,3,1,8,6,2,7,4] => 1101101 => [2,1,2,1,1] => 252
[3,1,4,6,8,2,7,5] => 1000101 => [1,3,1,1,1] => 219
[4,1,5,7,3,8,2,6] => 1001010 => [1,2,1,1,1,1] => 345
[6,2,5,8,4,7,3,1] => 1001011 => [1,2,1,1,2] => 241
[7,2,8,5,4,3,6,1] => 1011101 => [1,1,3,1,1] => 233
[7,1,6,8,2,5,3,4] => 1001010 => [1,2,1,1,1,1] => 345
[2,6,5,7,8,4,1,3] => 0100110 => [1,1,2,2,1] => 295
[3,6,5,7,4,1,8,2] => 0101101 => [1,1,1,2,1,1] => 359
[1,6,5,7,4,2,3,8] => 0101100 => [1,1,1,2,2] => 255
[3,4,7,5,2,1,8,6] => 0011101 => [2,3,1,1] => 171
[3,6,7,5,8,4,1,2] => 0010110 => [2,1,1,2,1] => 241
[3,4,7,2,5,6,8,1] => 0010001 => [2,1,3,1] => 157
[2,5,3,7,8,6,4,1] => 0100111 => [1,1,2,3] => 145
[7,2,8,4,5,6,3,1] => 1010011 => [1,1,1,2,2] => 255
[6,2,3,8,5,4,7,1] => 1001101 => [1,2,2,1,1] => 295
[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] => 242
[6,5,4,3,1,2,7,8,9,10] => 111100000 => [4,5] => 126
[7,6,5,4,3,1,2,8,9,10] => 111110000 => [5,4] => 126
[9,6,5,4,3,10,1,2,7,8] => 111101000 => [4,1,1,3] => 451
[6,8,7,3,2,4,5,1] => 0111001 => [1,3,2,1] => 185
[3,8,6,1,4,5,7,2] => 0110001 => [1,2,3,1] => 185
[7,5,8,6,4,1,3,2] => 1011101 => [1,1,3,1,1] => 233
[2,7,6,3,8,5,1,4] => 0110110 => [1,2,1,2,1] => 281
[2,3,1,8,4,6,5,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,3,1,7,6,8,4,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,3,1,8,4,6,7,5] => 0101001 => [1,1,1,1,2,1] => 345
[6,2,3,4,5,1,9,7,8] => 10001010 => [1,3,1,1,1,1] => 770
[4,2,3,5,1,8,6,7] => 1001010 => [1,2,1,1,1,1] => 345
[2,3,4,5,9,7,1,8,6] => 00001101 => [4,2,1,1] => 250
[2,3,4,9,6,7,1,8,5] => 00010101 => [3,1,1,1,1,1] => 572
[2,3,9,5,6,1,7,8,4] => 00101001 => [2,1,1,1,2,1] => 821
[2,3,9,5,1,7,4,8,6] => 00110101 => [2,2,1,1,1,1] => 875
[2,3,4,5,6,7,10,9,1,8] => 000000110 => [6,2,1] => 140
[2,3,4,5,6,10,8,9,1,7] => 000001010 => [5,1,1,1,1] => 429
[2,3,4,5,6,10,8,1,9,7] => 000001101 => [5,2,1,1] => 399
[2,3,4,5,6,10,8,1,7,9] => 000001100 => [5,2,2] => 301
[2,3,4,5,6,10,1,7,8,9] => 000001000 => [5,1,3] => 209
[2,3,4,5,10,7,8,9,1,6] => 000010010 => [4,1,2,1,1] => 901
[2,3,4,5,10,7,8,1,9,6] => 000010101 => [4,1,1,1,1,1] => 1001
[2,3,4,5,10,7,8,1,6,9] => 000010100 => [4,1,1,1,2] => 726
[2,3,4,5,10,7,1,9,6,8] => 000011010 => [4,2,1,1,1] => 931
[2,3,4,5,10,7,1,6,8,9] => 000011000 => [4,2,3] => 431
[2,3,4,5,10,1,6,7,8,9] => 000010000 => [4,1,4] => 251
[2,3,4,10,6,7,8,1,9,5] => 000100101 => [3,1,2,1,1,1] => 1806
[2,3,4,10,6,7,8,1,5,9] => 000100100 => [3,1,2,1,2] => 1304
[2,3,4,10,6,7,1,8,9,5] => 000101001 => [3,1,1,1,2,1] => 1672
[2,3,4,10,6,7,1,9,5,8] => 000101010 => [3,1,1,1,1,1,1] => 2002
[2,3,4,10,6,7,1,5,8,9] => 000101000 => [3,1,1,1,3] => 858
[2,3,4,10,6,1,8,5,9,7] => 000110101 => [3,2,1,1,1,1] => 1834
[2,3,4,10,6,1,8,5,7,9] => 000110100 => [3,2,1,1,2] => 1318
[2,3,4,10,6,1,5,7,8,9] => 000110000 => [3,2,4] => 431
[2,3,4,10,1,5,6,7,8,9] => 000100000 => [3,1,5] => 209
[2,3,10,5,6,1,8,9,4,7] => 001010010 => [2,1,1,1,2,1,1] => 2982
[2,3,10,5,6,1,8,4,9,7] => 001010101 => [2,1,1,1,1,1,1,1] => 3432
[2,3,10,5,6,1,8,4,7,9] => 001010100 => [2,1,1,1,1,1,2] => 2431
[2,3,10,5,6,1,4,7,8,9] => 001010000 => [2,1,1,1,4] => 726
[2,3,10,5,1,7,4,9,6,8] => 001101010 => [2,2,1,1,1,1,1] => 3036
[2,3,10,5,1,7,4,6,8,9] => 001101000 => [2,2,1,1,3] => 1286
[2,3,10,5,1,4,6,7,8,9] => 001100000 => [2,2,5] => 301
[2,10,4,1,6,3,8,5,9,7] => 011010101 => [1,2,1,1,1,1,1,1] => 4004
[2,10,4,1,6,3,8,5,7,9] => 011010100 => [1,2,1,1,1,1,2] => 2838
[2,10,4,1,6,3,5,7,8,9] => 011010000 => [1,2,1,1,4] => 851
[2,10,4,1,3,5,6,7,8,9] => 011000000 => [1,2,6] => 140
[5,8,7,2,6,4,1,3] => 0110110 => [1,2,1,2,1] => 281
[6,8,5,1,7,4,3,2] => 0110111 => [1,2,1,3] => 137
[6,8,5,2,7,4,1,3] => 0110110 => [1,2,1,2,1] => 281
[7,3,8,6,5,2,1,4] => 1011110 => [1,1,4,1] => 107
[7,5,8,1,6,4,3,2] => 1010111 => [1,1,1,1,3] => 165
[7,5,8,2,6,4,1,3] => 1010110 => [1,1,1,1,2,1] => 345
[6,3,2,8,1,7,5,4] => 1101011 => [2,1,1,1,2] => 207
[2,1,3,4,5,6,8,7,9] => 10000010 => [1,5,1,1] => 170
[2,3,4,5,6,8,7,9,1] => 00000101 => [5,1,1,1] => 110
[2,6,8,7,1,3,5,4] => 0011001 => [2,2,2,1] => 211
[5,3,8,7,6,2,1,4] => 1011110 => [1,1,4,1] => 107
[3,7,6,1,4,5,2,8] => 0110010 => [1,2,2,1,1] => 295
[4,1,6,2,7,5,3,8] => 1010110 => [1,1,1,1,2,1] => 345
[7,6,2,5,3,1,4,8] => 1101100 => [2,1,2,2] => 180
[4,3,1,7,6,2,5,8] => 1101100 => [2,1,2,2] => 180
[4,5,3,1,2,8,6,7] => 0110010 => [1,2,2,1,1] => 295
[2,4,5,3,1,8,6,7] => 0011010 => [2,2,1,1,1] => 255
[5,7,6,2,3,1,4,8] => 0110100 => [1,2,1,1,2] => 241
[4,1,3,7,5,2,6,8] => 1001100 => [1,2,2,2] => 211
[4,1,6,3,2,7,5,8] => 1011010 => [1,1,2,1,1,1] => 359
[7,5,4,1,3,2,6,8] => 1110100 => [3,1,1,2] => 117
[2,4,8,5,6,3,1,7] => 0010110 => [2,1,1,2,1] => 241
[2,5,7,4,1,3,6,8] => 0011000 => [2,2,3] => 105
[5,7,4,1,3,2,6,8] => 0110100 => [1,2,1,1,2] => 241
[2,6,8,4,5,3,1,7] => 0010110 => [2,1,1,2,1] => 241
[5,2,3,7,4,1,6,8] => 1001100 => [1,2,2,2] => 211
[4,5,1,6,3,2,7,8] => 0101100 => [1,1,1,2,2] => 255
[5,1,6,3,2,4,7,8] => 1011000 => [1,1,2,3] => 145
[4,2,5,1,6,3,7,8] => 1010100 => [1,1,1,1,1,2] => 297
[5,1,6,2,4,3,7,8] => 1010100 => [1,1,1,1,1,2] => 297
[5,3,4,8,7,6,2,1] => 1001111 => [1,2,4] => 65
[8,3,1,6,7,5,4,2] => 1100111 => [2,2,3] => 105
[8,4,6,5,7,2,3,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[1,8,2,6,7,4,5,3] => 0100101 => [1,1,2,1,1,1] => 359
[8,5,7,2,4,3,6,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,5,3,6,4,7,2,1] => 1101011 => [2,1,1,1,2] => 207
[8,2,5,3,6,7,4,1] => 1010011 => [1,1,1,2,2] => 255
[1,2,8,3,4,7,6,5] => 0010011 => [2,1,2,2] => 180
[6,8,5,2,7,1,3,4] => 0110100 => [1,2,1,1,2] => 241
[7,6,4,5,2,1,8,3] => 1101101 => [2,1,2,1,1] => 252
[8,2,4,7,6,3,1,5] => 1001110 => [1,2,3,1] => 185
[7,3,8,5,4,2,1,6] => 1011110 => [1,1,4,1] => 107
[6,3,4,7,2,8,5,1] => 1001011 => [1,2,1,1,2] => 241
[8,1,7,3,6,4,2,5] => 1010110 => [1,1,1,1,2,1] => 345
[7,1,8,5,3,4,2,6] => 1011010 => [1,1,2,1,1,1] => 359
[6,8,4,3,1,5,2,7] => 0111010 => [1,3,1,1,1] => 219
[1,4,5,8,3,2,6,7] => 0001100 => [3,2,2] => 105
[1,5,2,4,7,8,6,3] => 0100011 => [1,1,3,2] => 171
[5,2,7,4,3,8,6,1] => 1011011 => [1,1,2,1,2] => 252
[2,7,3,4,8,5,6,1] => 0100101 => [1,1,2,1,1,1] => 359
[2,7,6,8,3,5,4,1] => 0101011 => [1,1,1,1,1,2] => 297
[2,7,4,5,3,8,6,1] => 0101011 => [1,1,1,1,1,2] => 297
[6,2,3,7,4,5,8,1] => 1001001 => [1,2,1,2,1] => 281
[1,6,3,2,7,5,8,4] => 0110101 => [1,2,1,1,1,1] => 345
[7,3,5,2,6,8,1,4] => 1010010 => [1,1,1,2,1,1] => 359
[6,4,2,7,1,5,8,3] => 1101001 => [2,1,1,2,1] => 241
[2,5,3,6,4,7,8,1] => 0101001 => [1,1,1,1,2,1] => 345
[4,2,5,3,6,7,8,1] => 1010001 => [1,1,1,3,1] => 219
[1,6,5,2,4,7,3,8] => 0110010 => [1,2,2,1,1] => 295
[1,8,7,2,4,6,3,5] => 0110010 => [1,2,2,1,1] => 295
[1,8,7,2,5,4,3,6] => 0110110 => [1,2,1,2,1] => 281
[1,5,4,2,7,3,6,8] => 0110100 => [1,2,1,1,2] => 241
[1,5,4,2,8,7,3,6] => 0110110 => [1,2,1,2,1] => 281
[1,6,8,3,5,2,4,7] => 0010100 => [2,1,1,1,2] => 207
[1,7,6,2,3,5,8,4] => 0110001 => [1,2,3,1] => 185
[1,2,8,3,6,5,4,7] => 0010110 => [2,1,1,2,1] => 241
[1,3,8,6,5,2,4,7] => 0011100 => [2,3,2] => 126
[1,4,7,3,2,8,6,5] => 0011011 => [2,2,1,2] => 180
[1,8,6,5,2,4,7,3] => 0111001 => [1,3,2,1] => 185
[1,6,8,4,3,2,5,7] => 0011100 => [2,3,2] => 126
[1,7,5,3,2,6,4,8] => 0111010 => [1,3,1,1,1] => 219
[1,2,6,5,3,8,4,7] => 0011010 => [2,2,1,1,1] => 255
[1,7,3,2,8,4,6,5] => 0110101 => [1,2,1,1,1,1] => 345
[1,6,5,2,8,4,7,3] => 0110101 => [1,2,1,1,1,1] => 345
[1,8,3,7,2,4,6,5] => 0101001 => [1,1,1,1,2,1] => 345
[5,4,2,8,7,6,1,3] => 1101110 => [2,1,3,1] => 157
[8,6,3,2,5,7,4,1] => 1110011 => [3,2,2] => 105
[7,3,2,1,6,5,8,4] => 1110101 => [3,1,1,1,1] => 165
[7,3,2,6,1,5,8,4] => 1101001 => [2,1,1,2,1] => 241
[6,8,5,2,7,1,4,3] => 0110101 => [1,2,1,1,1,1] => 345
[6,8,2,5,1,7,4,3] => 0101011 => [1,1,1,1,1,2] => 297
[6,8,5,7,2,1,4,3] => 0101101 => [1,1,1,2,1,1] => 359
[6,5,8,2,7,4,1,3] => 1010110 => [1,1,1,1,2,1] => 345
[6,2,1,7,5,8,4,3] => 1101011 => [2,1,1,1,2] => 207
[1,6,4,8,5,3,7,2] => 0101101 => [1,1,1,2,1,1] => 359
[1,6,5,3,4,7,8,2] => 0110001 => [1,2,3,1] => 185
[4,2,6,7,8,1,3,5] => 1000100 => [1,3,1,2] => 157
[4,6,5,1,3,7,8,2] => 0110001 => [1,2,3,1] => 185
[5,1,7,2,6,4,8,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,1,7,6,5,8,2,3] => 1011010 => [1,1,2,1,1,1] => 359
[5,2,1,7,6,4,8,3] => 1101101 => [2,1,2,1,1] => 252
[4,2,3,6,7,8,1,5] => 1000010 => [1,4,1,1] => 107
[4,7,2,1,6,5,8,3] => 0110101 => [1,2,1,1,1,1] => 345
[2,7,6,4,1,5,8,3] => 0111001 => [1,3,2,1] => 185
[2,4,3,6,7,8,1,5] => 0100010 => [1,1,3,1,1] => 233
[6,8,5,2,7,3,1,4] => 0110110 => [1,2,1,2,1] => 281
[7,5,2,4,1,8,3,6] => 1101010 => [2,1,1,1,1,1] => 297
[6,5,1,3,7,8,2,4] => 1100010 => [2,3,1,1] => 171
[7,2,1,4,3,5,8,6] => 1101001 => [2,1,1,2,1] => 241
[6,1,2,4,3,7,8,5] => 1001001 => [1,2,1,2,1] => 281
[8,1,5,4,2,3,6,7] => 1011000 => [1,1,2,3] => 145
[7,1,2,4,6,3,8,5] => 1000101 => [1,3,1,1,1] => 219
[7,1,2,6,5,3,8,4] => 1001101 => [1,2,2,1,1] => 295
[7,5,6,1,2,4,8,3] => 1010001 => [1,1,1,3,1] => 219
[7,1,4,5,2,3,6,8] => 1001000 => [1,2,1,3] => 137
[6,1,4,8,7,2,3,5] => 1001100 => [1,2,2,2] => 211
[6,1,8,5,7,2,3,4] => 1010100 => [1,1,1,1,1,2] => 297
[1,6,7,5,8,3,4,2] => 0010101 => [2,1,1,1,1,1] => 297
[6,1,7,5,8,2,3,4] => 1010100 => [1,1,1,1,1,2] => 297
[6,1,4,7,8,2,3,5] => 1000100 => [1,3,1,2] => 157
[8,1,2,3,7,5,4,6] => 1000110 => [1,3,2,1] => 185
[5,8,6,1,2,4,7,3] => 0110001 => [1,2,3,1] => 185
[1,6,8,7,5,3,4,2] => 0011101 => [2,3,1,1] => 171
[6,1,8,7,5,2,3,4] => 1011100 => [1,1,3,2] => 171
[8,3,1,2,4,6,5,7] => 1100010 => [2,3,1,1] => 171
[8,3,1,2,4,5,7,6] => 1100001 => [2,4,1] => 81
[6,3,1,2,4,7,5,8] => 1100010 => [2,3,1,1] => 171
[6,7,1,4,2,3,5,8] => 0101000 => [1,1,1,1,3] => 165
[6,1,7,4,8,2,3,5] => 1010100 => [1,1,1,1,1,2] => 297
[6,7,8,5,1,2,4,3] => 0011001 => [2,2,2,1] => 211
[8,6,5,4,3,2,7,9,1] => 11111001 => [5,2,1] => 98
[8,9,5,4,3,2,1,6,7] => 01111100 => [1,5,2] => 133
[7,6,5,4,3,8,9,1,2] => 11110010 => [4,2,1,1] => 250
[9,6,5,4,3,2,7,1,8] => 11111010 => [5,1,1,1] => 110
[8,7,6,5,4,3,2,9,1,10] => 111111010 => [6,1,1,1] => 154
[9,2,3,4,5,6,1,7,8] => 10000100 => [1,4,1,2] => 303
[3,1,5,6,7,8,9,2,4] => 10000010 => [1,5,1,1] => 170
[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] => 429
[4,3,8,6,7,2,5,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,6,8,1,5,3,4,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,4,6,1,5,3,8,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,3,8,1,7,2,5,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,1,5,4,8,2,7,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,2,5,4,7,1,8,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[2,6,3,4,8,7,5,1] => 0100111 => [1,1,2,3] => 145
[2,7,4,5,1,8,3,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[8,4,5,7,6,1,2,3] => 1001100 => [1,2,2,2] => 211
[8,4,5,7,1,3,6,2] => 1001001 => [1,2,1,2,1] => 281
[8,1,3,4,6,7,5,2] => 1000011 => [1,4,2] => 81
[8,7,6,2,3,5,4,1] => 1110011 => [3,2,2] => 105
[8,3,6,7,5,1,2,4] => 1001100 => [1,2,2,2] => 211
[8,2,1,6,5,7,4,3] => 1101011 => [2,1,1,1,2] => 207
[2,7,1,8,5,6,4,3] => 0101011 => [1,1,1,1,1,2] => 297
[2,7,8,6,1,5,3,4] => 0011010 => [2,2,1,1,1] => 255
[4,6,8,2,3,5,1,7] => 0010010 => [2,1,2,1,1] => 252
[6,8,2,1,3,5,4,7] => 0110010 => [1,2,2,1,1] => 295
[3,5,1,6,4,8,2,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,5,8,6,2,1,4,7] => 0011100 => [2,3,2] => 126
[2,4,8,5,6,1,3,7] => 0010100 => [2,1,1,1,2] => 207
[4,8,2,5,6,1,3,7] => 0100100 => [1,1,2,1,2] => 252
[5,3,8,4,2,7,6,1] => 1011011 => [1,1,2,1,2] => 252
[2,8,5,3,1,4,7,6] => 0111001 => [1,3,2,1] => 185
[1,7,8,4,6,3,2,5] => 0010110 => [2,1,1,2,1] => 241
[8,7,2,4,6,3,1,5] => 1100110 => [2,2,2,1] => 211
[8,7,3,2,1,6,4,5] => 1111010 => [4,1,1,1] => 75
[7,8,3,4,6,5,2,1] => 0100111 => [1,1,2,3] => 145
[8,7,3,6,5,2,4,1] => 1101101 => [2,1,2,1,1] => 252
[3,1,2,8,6,5,7,4] => 1001101 => [1,2,2,1,1] => 295
[3,8,2,7,5,4,6,1] => 0101101 => [1,1,1,2,1,1] => 359
[8,7,1,4,5,3,6,2] => 1100101 => [2,2,1,1,1] => 255
[2,8,7,4,6,3,5,1] => 0110101 => [1,2,1,1,1,1] => 345
[2,8,7,4,6,3,1,5] => 0110110 => [1,2,1,2,1] => 281
[8,3,4,1,2,5,7,6] => 1010001 => [1,1,1,3,1] => 219
[8,4,1,3,2,5,7,6] => 1101001 => [2,1,1,2,1] => 241
[7,3,8,6,2,1,4,5] => 1011100 => [1,1,3,2] => 171
[7,2,8,4,6,5,1,3] => 1010110 => [1,1,1,1,2,1] => 345
[5,8,6,4,7,2,3,1] => 0110101 => [1,2,1,1,1,1] => 345
[4,7,2,6,5,8,3,1] => 0101011 => [1,1,1,1,1,2] => 297
[3,6,8,5,7,4,2,1] => 0010111 => [2,1,1,3] => 117
[6,7,5,2,4,8,3,1] => 0110011 => [1,2,2,2] => 211
[8,1,2,7,5,6,3,4] => 1001010 => [1,2,1,1,1,1] => 345
[8,2,7,3,4,6,1,5] => 1010010 => [1,1,1,2,1,1] => 359
[6,7,5,4,8,1,3,2] => 0110101 => [1,2,1,1,1,1] => 345
[8,3,5,6,4,7,2,1] => 1001011 => [1,2,1,1,2] => 241
[8,5,6,2,4,3,7,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,5,8,1,3,4,2,7] => 1010010 => [1,1,1,2,1,1] => 359
[6,8,4,5,1,3,2,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[6,4,8,7,5,3,2,1] => 1011111 => [1,1,5] => 27
[6,7,1,4,3,2,8,5] => 0101101 => [1,1,1,2,1,1] => 359
[7,2,5,1,4,8,3,6] => 1010010 => [1,1,1,2,1,1] => 359
[5,8,1,3,4,2,7,6] => 0100101 => [1,1,2,1,1,1] => 359
[1,5,6,3,2,8,7,4] => 0011011 => [2,2,1,2] => 180
[1,3,7,6,8,4,2,5] => 0010110 => [2,1,1,2,1] => 241
[1,6,7,3,2,8,5,4] => 0011011 => [2,2,1,2] => 180
[3,2,7,6,8,4,5,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[1,3,8,5,2,7,6,4] => 0011011 => [2,2,1,2] => 180
[6,4,1,5,2,8,7,3] => 1101011 => [2,1,1,1,2] => 207
[7,6,5,3,1,8,2,4] => 1111010 => [4,1,1,1] => 75
[2,5,1,4,7,3,6,8] => 0100100 => [1,1,2,1,2] => 252
[3,1,6,5,7,2,4,8] => 1010100 => [1,1,1,1,1,2] => 297
[2,6,1,5,7,4,8,3] => 0100101 => [1,1,2,1,1,1] => 359
[2,5,7,1,6,3,8,4] => 0010101 => [2,1,1,1,1,1] => 297
[2,6,1,5,7,4,3,8] => 0100110 => [1,1,2,2,1] => 295
[3,1,6,5,2,4,7,8] => 1011000 => [1,1,2,3] => 145
[3,6,5,1,4,2,7,8] => 0110100 => [1,2,1,1,2] => 241
[3,6,5,1,7,2,4,8] => 0110100 => [1,2,1,1,2] => 241
[3,6,5,2,1,4,7,8] => 0111000 => [1,3,3] => 95
[5,4,3,6,1,7,2,8] => 1101010 => [2,1,1,1,1,1] => 297
[4,5,2,7,6,1,3,8] => 0101100 => [1,1,1,2,2] => 255
[4,6,5,3,1,2,7,8] => 0111000 => [1,3,3] => 95
[5,4,1,6,3,7,2,8] => 1101010 => [2,1,1,1,1,1] => 297
[5,4,2,6,3,7,8,1] => 1101001 => [2,1,1,2,1] => 241
[3,6,5,7,1,4,2,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,6,5,1,4,7,2,8] => 0110010 => [1,2,2,1,1] => 295
[4,3,6,5,7,1,2,8] => 1010100 => [1,1,1,1,1,2] => 297
[4,2,6,5,1,3,7,8] => 1011000 => [1,1,2,3] => 145
[4,1,6,5,3,7,8,2] => 1011001 => [1,1,2,2,1] => 295
[4,2,5,7,6,1,3,8] => 1001100 => [1,2,2,2] => 211
[3,4,7,6,1,2,5,8] => 0011000 => [2,2,3] => 105
[4,2,5,7,6,3,8,1] => 1001101 => [1,2,2,1,1] => 295
[4,1,6,5,2,7,3,8] => 1011010 => [1,1,2,1,1,1] => 359
[3,6,5,7,2,1,4,8] => 0101100 => [1,1,1,2,2] => 255
[3,5,7,6,2,4,1,8] => 0011010 => [2,2,1,1,1] => 255
[5,4,2,6,3,7,1,8] => 1101010 => [2,1,1,1,1,1] => 297
[4,6,5,2,7,3,1,8] => 0110110 => [1,2,1,2,1] => 281
[4,6,5,2,1,7,3,8] => 0111010 => [1,3,1,1,1] => 219
[3,5,8,2,1,4,6,7] => 0011000 => [2,2,3] => 105
[3,5,8,2,4,6,7,1] => 0010001 => [2,1,3,1] => 157
[5,3,8,2,1,4,6,7] => 1011000 => [1,1,2,3] => 145
[5,3,1,8,2,4,6,7] => 1101000 => [2,1,1,3] => 117
[5,1,3,8,2,4,6,7] => 1001000 => [1,2,1,3] => 137
[1,5,8,4,2,3,6,7] => 0011000 => [2,2,3] => 105
[5,8,2,1,4,3,6,7] => 0110100 => [1,2,1,1,2] => 241
[5,8,2,4,1,6,7,3] => 0101001 => [1,1,1,1,2,1] => 345
[5,8,2,4,6,3,1,7] => 0100110 => [1,1,2,2,1] => 295
[5,8,2,4,3,6,1,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,8,1,4,6,2,3,7] => 0100100 => [1,1,2,1,2] => 252
[1,5,8,4,6,7,2,3] => 0010010 => [2,1,2,1,1] => 252
[5,1,8,4,6,7,2,3] => 1010010 => [1,1,1,2,1,1] => 359
[5,8,2,4,6,3,7,1] => 0100101 => [1,1,2,1,1,1] => 359
[3,8,4,6,7,2,1,5] => 0100110 => [1,1,2,2,1] => 295
[3,8,4,6,7,2,5,1] => 0100101 => [1,1,2,1,1,1] => 359
[8,4,3,6,7,2,5,1] => 1100101 => [2,2,1,1,1] => 255
[8,4,3,6,7,2,1,5] => 1100110 => [2,2,2,1] => 211
[8,6,2,4,5,3,7,1] => 1100101 => [2,2,1,1,1] => 255
[1,8,6,4,5,7,2,3] => 0110010 => [1,2,2,1,1] => 295
[8,6,2,4,5,3,1,7] => 1100110 => [2,2,2,1] => 211
[1,8,6,4,2,3,5,7] => 0111000 => [1,3,3] => 95
[3,8,1,6,2,4,5,7] => 0101000 => [1,1,1,1,3] => 165
[3,8,6,2,1,4,5,7] => 0111000 => [1,3,3] => 95
[3,8,6,2,4,1,5,7] => 0110100 => [1,2,1,1,2] => 241
[3,8,6,2,4,5,7,1] => 0110001 => [1,2,3,1] => 185
[8,3,6,2,4,5,1,7] => 1010010 => [1,1,1,2,1,1] => 359
[8,1,3,6,2,4,5,7] => 1001000 => [1,2,1,3] => 137
[8,3,6,7,2,1,4,5] => 1001100 => [1,2,2,2] => 211
[3,8,6,7,2,1,4,5] => 0101100 => [1,1,1,2,2] => 255
[8,2,6,4,5,1,7,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[1,8,4,6,7,5,2,3] => 0100110 => [1,1,2,2,1] => 295
[8,4,6,2,3,7,5,1] => 1010011 => [1,1,1,2,2] => 255
[8,4,7,2,1,3,6,5] => 1011001 => [1,1,2,2,1] => 295
[2,7,1,6,3,5,8,4] => 0101001 => [1,1,1,1,2,1] => 345
[8,4,2,1,5,3,7,6] => 1110101 => [3,1,1,1,1] => 165
[8,2,1,4,7,3,6,5] => 1100101 => [2,2,1,1,1] => 255
[1,6,2,5,8,4,7,3] => 0100101 => [1,1,2,1,1,1] => 359
[3,2,1,7,4,5,8,6] => 1101001 => [2,1,1,2,1] => 241
[2,6,8,5,1,7,4,3] => 0011011 => [2,2,1,2] => 180
[2,1,5,8,7,3,6,4] => 1001101 => [1,2,2,1,1] => 295
[3,2,1,6,7,4,8,5] => 1100101 => [2,2,1,1,1] => 255
[4,3,1,7,8,5,2,6] => 1100110 => [2,2,2,1] => 211
[5,6,8,2,4,3,7,1] => 0010101 => [2,1,1,1,1,1] => 297
[2,8,5,3,6,4,7,1] => 0110101 => [1,2,1,1,1,1] => 345
[1,2,8,6,4,7,3,5] => 0011010 => [2,2,1,1,1] => 255
[5,3,2,7,8,6,4,1] => 1100111 => [2,2,3] => 105
[4,2,7,8,3,5,6,1] => 1001001 => [1,2,1,2,1] => 281
[2,8,3,7,1,4,6,5] => 0101001 => [1,1,1,1,2,1] => 345
[2,8,7,1,5,3,6,4] => 0110101 => [1,2,1,1,1,1] => 345
[7,3,5,6,4,2,8,1] => 1001101 => [1,2,2,1,1] => 295
[3,8,4,2,7,6,5,1] => 0110111 => [1,2,1,3] => 137
[4,8,3,2,7,5,6,1] => 0110101 => [1,2,1,1,1,1] => 345
[3,2,4,8,7,5,6,1] => 1001101 => [1,2,2,1,1] => 295
[2,6,8,1,5,3,4,7] => 0010100 => [2,1,1,1,2] => 207
[3,2,5,6,8,1,4,7] => 1000100 => [1,3,1,2] => 157
[3,8,1,6,4,5,2,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[8,1,3,6,5,4,2,7] => 1001110 => [1,2,3,1] => 185
[7,4,3,6,2,1,8,5] => 1101101 => [2,1,2,1,1] => 252
[1,2,4,8,6,3,7,5] => 0001101 => [3,2,1,1] => 145
[7,2,1,5,3,4,8,6] => 1101001 => [2,1,1,2,1] => 241
[5,7,2,3,1,4,8,6] => 0101001 => [1,1,1,1,2,1] => 345
[7,1,5,2,4,6,8,3] => 1010001 => [1,1,1,3,1] => 219
[8,4,2,7,3,5,6,1] => 1101001 => [2,1,1,2,1] => 241
[1,8,6,4,7,5,3,2] => 0110111 => [1,2,1,3] => 137
[7,4,1,5,8,6,3,2] => 1100111 => [2,2,3] => 105
[4,5,8,7,3,1,2,6] => 0011100 => [2,3,2] => 126
[1,3,8,7,6,4,2,5] => 0011110 => [2,4,1] => 81
[2,8,5,1,7,4,6,3] => 0110101 => [1,2,1,1,1,1] => 345
[1,8,6,4,7,5,2,3] => 0110110 => [1,2,1,2,1] => 281
[2,7,4,6,3,8,5,1] => 0101011 => [1,1,1,1,1,2] => 297
[1,2,8,6,4,7,5,3] => 0011011 => [2,2,1,2] => 180
[3,4,5,7,8,9,1,2,6] => 00000100 => [5,1,2] => 83
[3,5,6,7,8,9,1,2,4] => 00000100 => [5,1,2] => 83
[3,4,5,6,8,9,10,1,2,7] => 000000100 => [6,1,2] => 119
[3,5,6,7,8,9,10,1,2,4] => 000000100 => [6,1,2] => 119
[3,4,5,6,7,8,1,2,9,10] => 000001000 => [5,1,3] => 209
[3,4,5,6,9,1,2,7,8] => 00001000 => [4,1,3] => 125
[3,4,5,6,1,2,7,8,9] => 00010000 => [3,1,4] => 125
[5,1,6,7,8,9,2,3,4] => 10000100 => [1,4,1,2] => 303
[4,1,8,6,3,7,5,2] => 1011011 => [1,1,2,1,2] => 252
[8,4,3,1,6,2,5,7] => 1110100 => [3,1,1,2] => 117
[7,5,4,3,8,1,6,2] => 1110101 => [3,1,1,1,1] => 165
[5,3,1,6,2,8,7,4] => 1101011 => [2,1,1,1,2] => 207
[3,5,4,1,7,8,2,6] => 0110010 => [1,2,2,1,1] => 295
[6,4,2,1,5,7,3,8] => 1110010 => [3,2,1,1] => 145
[3,1,5,8,7,2,4,6] => 1001100 => [1,2,2,2] => 211
[3,2,5,7,8,4,6,1] => 1000101 => [1,3,1,1,1] => 219
[5,3,7,4,2,6,8,1] => 1011001 => [1,1,2,2,1] => 295
[5,3,7,4,2,6,1,8] => 1011010 => [1,1,2,1,1,1] => 359
[5,3,8,4,2,1,6,7] => 1011100 => [1,1,3,2] => 171
[5,2,8,4,3,1,6,7] => 1011100 => [1,1,3,2] => 171
[5,1,8,4,3,2,6,7] => 1011100 => [1,1,3,2] => 171
[5,2,7,4,3,6,1,8] => 1011010 => [1,1,2,1,1,1] => 359
[5,2,7,4,3,6,8,1] => 1011001 => [1,1,2,2,1] => 295
[5,3,7,4,1,6,8,2] => 1011001 => [1,1,2,2,1] => 295
[3,1,5,7,8,4,6,2] => 1000101 => [1,3,1,1,1] => 219
[3,1,5,7,8,4,2,6] => 1000110 => [1,3,2,1] => 185
[5,2,7,4,1,3,8,6] => 1011001 => [1,1,2,2,1] => 295
[6,2,3,7,4,8,5,1] => 1001011 => [1,2,1,1,2] => 241
[6,2,3,7,4,8,1,5] => 1001010 => [1,2,1,1,1,1] => 345
[6,2,3,7,4,5,1,8] => 1001010 => [1,2,1,1,1,1] => 345
[6,1,3,7,4,5,8,2] => 1001001 => [1,2,1,2,1] => 281
[1,2,8,6,4,3,5,7] => 0011100 => [2,3,2] => 126
[6,1,3,7,4,5,2,8] => 1001010 => [1,2,1,1,1,1] => 345
[1,8,6,3,5,4,2,7] => 0110110 => [1,2,1,2,1] => 281
[2,6,1,8,5,3,4,7] => 0101100 => [1,1,1,2,2] => 255
[4,5,7,8,1,6,3,2] => 0001011 => [3,1,1,2] => 117
[2,5,7,8,4,6,3,1] => 0001011 => [3,1,1,2] => 117
[1,8,2,7,5,3,4,6] => 0101100 => [1,1,1,2,2] => 255
[2,5,4,1,8,6,7,3] => 0110101 => [1,2,1,1,1,1] => 345
[7,3,5,1,4,8,6,2] => 1010011 => [1,1,1,2,2] => 255
[7,1,3,2,4,5,6,8] => 1010000 => [1,1,1,4] => 75
[3,8,7,1,4,2,5,6] => 0110100 => [1,2,1,1,2] => 241
[5,1,7,8,2,4,3,6] => 1001010 => [1,2,1,1,1,1] => 345
[8,5,4,6,1,7,3,2] => 1101011 => [2,1,1,1,2] => 207
[5,3,2,1,4,6,8,7] => 1110001 => [3,3,1] => 95
[5,3,2,4,8,1,6,7] => 1100100 => [2,2,1,2] => 180
[5,3,2,4,7,1,8,6] => 1100101 => [2,2,1,1,1] => 255
[4,8,1,7,3,5,6,2] => 0101001 => [1,1,1,1,2,1] => 345
[5,3,2,4,6,8,1,7] => 1100010 => [2,3,1,1] => 171
[1,2,4,3,5,7,8,9,6] => 00100001 => [2,1,4,1] => 303
[2,7,6,3,1,4,8,5] => 0111001 => [1,3,2,1] => 185
[3,7,4,5,6,8,2,1] => 0100011 => [1,1,3,2] => 171
[8,7,1,4,2,5,3,6] => 1101010 => [2,1,1,1,1,1] => 297
[4,6,8,3,7,1,5,2] => 0010101 => [2,1,1,1,1,1] => 297
[4,7,3,5,8,1,6,2] => 0100101 => [1,1,2,1,1,1] => 359
[8,4,3,5,7,1,6,2] => 1100101 => [2,2,1,1,1] => 255
[1,7,6,4,2,5,3,8] => 0111010 => [1,3,1,1,1] => 219
[7,6,4,2,8,3,1,5] => 1110110 => [3,1,2,1] => 137
[8,5,2,4,3,7,1,6] => 1101010 => [2,1,1,1,1,1] => 297
[8,5,1,4,3,7,6,2] => 1101011 => [2,1,1,1,2] => 207
[7,5,4,1,3,6,8,2] => 1110001 => [3,3,1] => 95
[3,6,7,2,5,1,8,4] => 0010101 => [2,1,1,1,1,1] => 297
[2,6,5,7,1,4,8,3] => 0101001 => [1,1,1,1,2,1] => 345
[3,5,1,7,8,4,6,2] => 0100101 => [1,1,2,1,1,1] => 359
[1,5,2,4,6,8,7,3] => 0100011 => [1,1,3,2] => 171
[8,1,2,4,7,6,5,3] => 1000111 => [1,3,3] => 95
[3,4,1,8,6,7,5,2] => 0101011 => [1,1,1,1,1,2] => 297
[4,3,8,5,1,7,6,2] => 1011011 => [1,1,2,1,2] => 252
[6,1,3,2,8,5,7,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[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] => 145
[6,7,4,2,5,8,3,1] => 0110011 => [1,2,2,2] => 211
[8,5,4,2,6,3,1,7] => 1110110 => [3,1,2,1] => 137
[8,5,2,1,6,4,3,7] => 1110110 => [3,1,2,1] => 137
[8,4,6,5,1,3,2,7] => 1011010 => [1,1,2,1,1,1] => 359
[1,3,8,4,7,5,2,6] => 0010110 => [2,1,1,2,1] => 241
[5,3,7,1,4,6,8,2] => 1010001 => [1,1,1,3,1] => 219
[5,7,2,6,1,4,8,3] => 0101001 => [1,1,1,1,2,1] => 345
[3,8,5,7,6,1,2,4] => 0101100 => [1,1,1,2,2] => 255
[8,4,7,5,2,1,3,6] => 1011100 => [1,1,3,2] => 171
[3,8,6,4,7,2,1,5] => 0110110 => [1,2,1,2,1] => 281
[5,2,7,4,6,8,3,1] => 1010011 => [1,1,1,2,2] => 255
[4,8,6,3,7,2,1,5] => 0110110 => [1,2,1,2,1] => 281
[2,8,3,1,7,6,4,5] => 0110110 => [1,2,1,2,1] => 281
[2,5,6,4,8,1,7,3] => 0010101 => [2,1,1,1,1,1] => 297
[5,7,2,1,6,8,3,4] => 0110010 => [1,2,2,1,1] => 295
[4,7,8,5,1,6,2,3] => 0011010 => [2,2,1,1,1] => 255
[4,5,2,1,6,7,8,3] => 0110001 => [1,2,3,1] => 185
[4,5,6,3,1,7,8,2] => 0011001 => [2,2,2,1] => 211
[3,5,6,7,4,1,8,2] => 0001101 => [3,2,1,1] => 145
[3,5,1,4,2,8,7,6] => 0101011 => [1,1,1,1,1,2] => 297
[3,5,1,4,2,6,8,7] => 0101001 => [1,1,1,1,2,1] => 345
[3,5,1,4,2,6,7,8] => 0101000 => [1,1,1,1,3] => 165
[1,3,8,4,6,2,5,7] => 0010100 => [2,1,1,1,2] => 207
[1,8,4,2,3,7,5,6] => 0110010 => [1,2,2,1,1] => 295
[1,4,8,3,2,7,6,5] => 0011011 => [2,2,1,2] => 180
[1,3,7,6,5,2,4,8] => 0011100 => [2,3,2] => 126
[1,2,8,6,7,5,4,3] => 0010111 => [2,1,1,3] => 117
[1,7,5,4,3,2,6,8] => 0111100 => [1,4,2] => 81
[8,9,10,1,5,6,7,3,4,2] => 001000101 => [2,1,3,1,1,1] => 2256
[8,9,10,5,6,7,1,3,4,2] => 001001001 => [2,1,2,1,2,1] => 2550
[8,9,10,1,5,6,3,4,7,2] => 001001001 => [2,1,2,1,2,1] => 2550
[8,9,10,5,6,1,3,4,7,2] => 001010001 => [2,1,1,1,3,1] => 1947
[8,9,10,5,6,3,4,7,1,2] => 001010010 => [2,1,1,1,2,1,1] => 2982
[8,9,5,6,10,1,3,4,7,2] => 010010001 => [1,1,2,1,3,1] => 2407
[8,9,5,6,10,3,4,7,1,2] => 010010010 => [1,1,2,1,2,1,1] => 3667
[8,9,10,1,5,6,7,3,2,4] => 001000110 => [2,1,3,2,1] => 1942
[8,9,10,5,6,7,1,3,2,4] => 001001010 => [2,1,2,1,1,1,1] => 3054
[8,9,10,1,5,6,3,7,2,4] => 001001010 => [2,1,2,1,1,1,1] => 3054
[8,9,10,5,6,1,3,7,2,4] => 001010010 => [2,1,1,1,2,1,1] => 2982
[8,9,10,5,6,3,7,1,2,4] => 001010100 => [2,1,1,1,1,1,2] => 2431
[8,9,5,6,10,1,3,7,2,4] => 010010010 => [1,1,2,1,2,1,1] => 3667
[8,9,5,6,10,3,7,1,2,4] => 010010100 => [1,1,2,1,1,1,2] => 2982
[8,9,10,1,5,6,3,2,4,7] => 001001100 => [2,1,2,2,2] => 1963
[8,9,10,5,6,1,3,2,4,7] => 001010100 => [2,1,1,1,1,1,2] => 2431
[8,9,10,5,6,3,1,2,4,7] => 001011000 => [2,1,1,2,3] => 1318
[8,9,10,5,6,3,2,4,7,1] => 001011001 => [2,1,1,2,2,1] => 2558
[8,9,5,6,10,1,3,2,4,7] => 010010100 => [1,1,2,1,1,1,2] => 2982
[8,9,5,6,10,3,1,2,4,7] => 010011000 => [1,1,2,2,3] => 1634
[8,9,5,6,10,3,2,4,7,1] => 010011001 => [1,1,2,2,2,1] => 3164
[8,9,10,1,5,3,6,7,2,4] => 001010010 => [2,1,1,1,2,1,1] => 2982
[8,9,10,5,1,3,6,7,2,4] => 001100010 => [2,2,3,1,1] => 1986
[8,9,10,5,3,6,7,1,2,4] => 001100100 => [2,2,2,1,2] => 1963
[8,9,5,10,1,3,6,7,2,4] => 010100010 => [1,1,1,1,3,1,1] => 3014
[8,9,5,10,3,6,7,1,2,4] => 010100100 => [1,1,1,1,2,1,2] => 3054
[8,9,10,1,5,3,6,2,4,7] => 001010100 => [2,1,1,1,1,1,2] => 2431
[8,9,10,5,1,3,6,2,4,7] => 001100100 => [2,2,2,1,2] => 1963
[8,9,10,5,3,6,1,2,4,7] => 001101000 => [2,2,1,1,3] => 1286
[8,9,10,5,3,6,2,4,7,1] => 001101001 => [2,2,1,1,2,1] => 2526
[8,9,5,10,1,3,6,2,4,7] => 010100100 => [1,1,1,1,2,1,2] => 3054
[8,9,5,10,3,6,1,2,4,7] => 010101000 => [1,1,1,1,1,1,3] => 2002
[8,9,5,10,3,6,2,4,7,1] => 010101001 => [1,1,1,1,1,1,2,1] => 4004
[8,9,5,3,6,10,1,2,4,7] => 011001000 => [1,2,2,1,3] => 1532
[8,9,5,3,6,10,2,4,7,1] => 011001001 => [1,2,2,1,2,1] => 2994
[8,5,9,10,1,3,6,7,2,4] => 100100010 => [1,2,1,3,1,1] => 2548
[8,5,9,10,3,6,7,1,2,4] => 100100100 => [1,2,1,2,1,2] => 2550
[8,5,9,10,1,3,6,2,4,7] => 100100100 => [1,2,1,2,1,2] => 2550
[8,5,9,10,3,6,1,2,4,7] => 100101000 => [1,2,1,1,1,3] => 1672
[8,5,9,10,3,6,2,4,7,1] => 100101001 => [1,2,1,1,1,2,1] => 3314
[3,8,5,7,4,6,2,1] => 0101011 => [1,1,1,1,1,2] => 297
[7,6,3,2,5,1,8,4] => 1110101 => [3,1,1,1,1] => 165
[4,2,5,7,8,6,3,1] => 1000111 => [1,3,3] => 95
[6,7,2,4,5,1,8,3] => 0100101 => [1,1,2,1,1,1] => 359
[5,2,7,8,3,6,1,4] => 1001010 => [1,2,1,1,1,1] => 345
[2,4,7,8,1,3,6,5] => 0001001 => [3,1,2,1] => 137
[8,5,1,2,3,7,4,6] => 1100010 => [2,3,1,1] => 171
[5,2,8,3,1,4,7,6] => 1011001 => [1,1,2,2,1] => 295
[8,7,2,5,1,4,3,6] => 1101010 => [2,1,1,1,1,1] => 297
[8,4,1,3,2,7,6,5] => 1101011 => [2,1,1,1,2] => 207
[8,3,5,1,2,4,7,6] => 1010001 => [1,1,1,3,1] => 219
[8,6,5,1,7,4,2,3] => 1110110 => [3,1,2,1] => 137
[8,7,4,5,1,2,6,3] => 1101001 => [2,1,1,2,1] => 241
[3,8,6,2,7,1,5,4] => 0110101 => [1,2,1,1,1,1] => 345
[3,4,8,2,1,7,6,5] => 0011011 => [2,2,1,2] => 180
[3,8,4,2,1,7,6,5] => 0111011 => [1,3,1,2] => 157
[8,3,1,7,5,6,2,4] => 1101010 => [2,1,1,1,1,1] => 297
[8,4,1,7,5,2,6,3] => 1101101 => [2,1,2,1,1] => 252
[8,4,2,7,5,3,1,6] => 1101110 => [2,1,3,1] => 157
[8,4,3,7,5,1,2,6] => 1101100 => [2,1,2,2] => 180
[8,5,7,6,4,3,1,2] => 1011110 => [1,1,4,1] => 107
[8,4,7,6,5,2,1,3] => 1011110 => [1,1,4,1] => 107
[8,3,1,4,7,6,2,5] => 1100110 => [2,2,2,1] => 211
[8,3,5,7,6,2,4,1] => 1001101 => [1,2,2,1,1] => 295
[1,4,6,8,2,5,7,3] => 0001001 => [3,1,2,1] => 137
[3,6,2,4,8,1,7,5] => 0100101 => [1,1,2,1,1,1] => 359
[7,3,8,2,4,6,1,5] => 1010010 => [1,1,1,2,1,1] => 359
[1,5,2,6,8,3,7,4] => 0100101 => [1,1,2,1,1,1] => 359
[4,5,3,1,8,2,6,7] => 0110100 => [1,2,1,1,2] => 241
[7,2,8,4,1,3,5,6] => 1011000 => [1,1,2,3] => 145
[6,1,7,3,2,8,4,5] => 1011010 => [1,1,2,1,1,1] => 359
[6,2,1,7,3,8,4,5] => 1101010 => [2,1,1,1,1,1] => 297
[5,8,2,1,3,4,6,7] => 0110000 => [1,2,4] => 65
[4,2,5,1,8,3,6,7] => 1010100 => [1,1,1,1,1,2] => 297
[7,4,2,8,3,1,5,6] => 1101100 => [2,1,2,2] => 180
[7,4,2,8,3,5,1,6] => 1101010 => [2,1,1,1,1,1] => 297
[6,7,8,5,2,1,4,3] => 0011101 => [2,3,1,1] => 171
[1,6,2,7,8,4,3,5] => 0100110 => [1,1,2,2,1] => 295
[10,1,9,5,6,7,8,2,3,4] => 101000100 => [1,1,1,3,1,2] => 2256
[9,1,10,8,6,7,2,3,4,5] => 101101000 => [1,1,2,1,1,3] => 1762
[8,1,9,10,7,2,3,4,5,6] => 100110000 => [1,2,2,4] => 801
[10,1,8,9,2,3,4,5,6,7] => 100100000 => [1,2,1,5] => 375
[3,1,10,9,6,7,8,2,4,5] => 101100100 => [1,1,2,2,1,2] => 2694
[3,1,9,10,8,7,2,4,5,6] => 100111000 => [1,2,3,3] => 1224
[3,1,8,9,10,2,4,5,6,7] => 100010000 => [1,3,1,4] => 626
[7,3,4,1,8,6,2,5] => 1010110 => [1,1,1,1,2,1] => 345
[4,7,6,3,5,8,2,1] => 0110011 => [1,2,2,2] => 211
[3,7,6,5,2,4,8,1] => 0111001 => [1,3,2,1] => 185
[1,4,7,8,6,2,5,3] => 0001101 => [3,2,1,1] => 145
[1,6,7,8,3,2,5,4] => 0001101 => [3,2,1,1] => 145
[1,3,2,7,8,4,6,5] => 0100101 => [1,1,2,1,1,1] => 359
[6,8,2,3,5,7,4,1] => 0100011 => [1,1,3,2] => 171
[5,7,1,4,6,2,8,3] => 0100101 => [1,1,2,1,1,1] => 359
[6,3,1,4,7,8,2,5] => 1100010 => [2,3,1,1] => 171
[9,8,7,6,5,1,3,4,2] => 11111001 => [5,2,1] => 98
[9,8,7,6,1,4,5,3,2] => 11110011 => [4,2,2] => 185
[8,7,1,5,4,6,3,2] => 1101011 => [2,1,1,1,2] => 207
[9,8,7,1,5,6,4,3,2] => 11100111 => [3,2,3] => 226
[9,8,1,6,7,5,4,3,2] => 11001111 => [2,2,4] => 185
[9,1,7,8,6,5,4,3,2] => 10011111 => [1,2,5] => 98
[4,5,7,1,8,6,2,3] => 0010110 => [2,1,1,2,1] => 241
[4,3,8,6,5,2,7,1] => 1011101 => [1,1,3,1,1] => 233
[2,3,8,6,5,1,7,4] => 0011101 => [2,3,1,1] => 171
[5,4,7,3,1,2,6,8] => 1011000 => [1,1,2,3] => 145
[7,6,2,1,5,4,3,8] => 1110110 => [3,1,2,1] => 137
[3,1,2,6,5,7,8,4] => 1001001 => [1,2,1,2,1] => 281
[7,3,2,6,1,4,8,5] => 1101001 => [2,1,1,2,1] => 241
[3,2,5,6,8,4,1,7] => 1000110 => [1,3,2,1] => 185
[7,2,6,8,5,4,3,1] => 1001111 => [1,2,4] => 65
[3,7,5,6,2,4,1,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,2,4,1,6,5,8,7,9] => 10101010 => [1,1,1,1,1,1,1,1] => 1430
[4,2,5,1,6,3,8,7,9] => 10101010 => [1,1,1,1,1,1,1,1] => 1430
[4,2,6,1,7,3,8,5,9] => 10101010 => [1,1,1,1,1,1,1,1] => 1430
[4,2,6,1,8,3,9,5,7] => 10101010 => [1,1,1,1,1,1,1,1] => 1430
[4,2,6,1,7,3,5,9,8] => 10101001 => [1,1,1,1,1,2,1] => 1166
[4,2,5,1,3,7,6,9,8] => 10100101 => [1,1,1,2,1,1,1] => 1234
[3,2,5,4,6,1,8,7,9] => 10101010 => [1,1,1,1,1,1,1,1] => 1430
[4,2,5,1,6,3,8,7,10,9] => 101010101 => [1,1,1,1,1,1,1,1,1] => 4862
[4,2,5,1,7,6,8,3,9] => 10101010 => [1,1,1,1,1,1,1,1] => 1430
[4,2,6,1,7,3,8,5,10,9] => 101010101 => [1,1,1,1,1,1,1,1,1] => 4862
[4,2,6,1,7,3,9,8,5] => 10101011 => [1,1,1,1,1,1,2] => 1001
[4,2,6,1,8,3,9,5,10,7] => 101010101 => [1,1,1,1,1,1,1,1,1] => 4862
[4,2,5,1,3,6,8,7] => 1010001 => [1,1,1,3,1] => 219
[4,2,6,1,7,3,5,8,9] => 10101000 => [1,1,1,1,1,3] => 572
[4,2,6,1,8,3,9,5,7,10] => 101010100 => [1,1,1,1,1,1,1,2] => 3432
[4,2,5,1,3,8,9,6,7] => 10100010 => [1,1,1,3,1,1] => 842
[4,2,6,1,7,3,5,9,8,10] => 101010010 => [1,1,1,1,1,2,1,1] => 4202
[3,2,1,6,7,4,5,9,8] => 11001001 => [2,2,1,2,1] => 725
[4,2,5,1,3,7,6,9,8,10] => 101001010 => [1,1,1,2,1,1,1,1] => 4274
[1,4,5,2,3,7,6,9,8] => 00100101 => [2,1,2,1,1,1] => 875
[5,3,4,2,7,1,8,6] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,6,8,2,1,3,4,7] => 0011000 => [2,2,3] => 105
[6,5,2,1,3,8,4,7] => 1110010 => [3,2,1,1] => 145
[2,4,3,5,6,8,1,7] => 0100010 => [1,1,3,1,1] => 233
[6,3,2,4,8,5,1,7] => 1100110 => [2,2,2,1] => 211
[6,3,1,2,7,8,4,5] => 1100010 => [2,3,1,1] => 171
[8,4,7,1,2,5,3,6] => 1010010 => [1,1,1,2,1,1] => 359
[7,4,6,1,8,5,2,3] => 1010110 => [1,1,1,1,2,1] => 345
[8,5,6,7,2,1,4,3] => 1001101 => [1,2,2,1,1] => 295
[2,5,6,3,8,4,7,1] => 0010101 => [2,1,1,1,1,1] => 297
[6,8,4,2,3,1,7,5] => 0110101 => [1,2,1,1,1,1] => 345
[1,7,6,2,8,3,5,4] => 0110101 => [1,2,1,1,1,1] => 345
[7,1,5,6,3,2,8,4] => 1001101 => [1,2,2,1,1] => 295
[4,1,3,8,5,2,7,6] => 1001101 => [1,2,2,1,1] => 295
[1,8,5,4,7,2,3,6] => 0110100 => [1,2,1,1,2] => 241
[8,2,5,6,4,3,1,7] => 1001110 => [1,2,3,1] => 185
[2,4,3,8,6,5,1,7] => 0101110 => [1,1,1,3,1] => 219
[3,1,4,5,8,6,2,7] => 1000110 => [1,3,2,1] => 185
[1,8,3,2,5,4,6,7] => 0110100 => [1,2,1,1,2] => 241
[5,1,7,3,2,8,4,6] => 1011010 => [1,1,2,1,1,1] => 359
[5,7,8,1,3,2,4,6] => 0010100 => [2,1,1,1,2] => 207
[8,2,4,1,6,7,3,5] => 1010010 => [1,1,1,2,1,1] => 359
[8,7,3,6,2,4,1,5] => 1101010 => [2,1,1,1,1,1] => 297
[1,7,4,8,3,6,2,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[7,8,6,1,3,5,4,2] => 0110011 => [1,2,2,2] => 211
[1,7,5,8,4,3,2,6] => 0101110 => [1,1,1,3,1] => 219
[6,3,1,2,7,8,5,4] => 1100011 => [2,3,2] => 126
[8,2,7,5,3,4,1,6] => 1011010 => [1,1,2,1,1,1] => 359
[6,3,1,2,8,7,5,4] => 1100111 => [2,2,3] => 105
[8,4,7,2,6,3,1,5] => 1010110 => [1,1,1,1,2,1] => 345
[7,6,3,4,2,1,8,5] => 1101101 => [2,1,2,1,1] => 252
[8,4,6,2,3,7,1,5] => 1010010 => [1,1,1,2,1,1] => 359
[3,4,5,8,1,7,2,6] => 0001010 => [3,1,1,1,1] => 165
[6,3,4,2,7,8,1,5] => 1010010 => [1,1,1,2,1,1] => 359
[5,6,3,7,8,2,1,4] => 0100110 => [1,1,2,2,1] => 295
[8,6,3,4,7,2,1,5] => 1100110 => [2,2,2,1] => 211
[4,3,8,6,7,5,1,2] => 1010110 => [1,1,1,1,2,1] => 345
[4,5,6,2,7,8,3,1] => 0010011 => [2,1,2,2] => 180
[4,5,6,2,7,1,8,3] => 0010101 => [2,1,1,1,1,1] => 297
[4,5,6,2,1,7,8,3] => 0011001 => [2,2,2,1] => 211
[4,5,6,2,1,7,3,8] => 0011010 => [2,2,1,1,1] => 255
[6,8,7,2,3,1,4,5] => 0110100 => [1,2,1,1,2] => 241
[4,5,1,6,7,3,2,8] => 0100110 => [1,1,2,2,1] => 295
[2,5,1,8,3,7,4,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,7,2,1,3,8,4,6] => 0110010 => [1,2,2,1,1] => 295
[3,7,5,4,1,6,8,2] => 0111001 => [1,3,2,1] => 185
[7,1,5,4,2,6,3,8] => 1011010 => [1,1,2,1,1,1] => 359
[8,5,6,3,7,2,1,4] => 1010110 => [1,1,1,1,2,1] => 345
[7,6,5,4,3,1,2,9,8] => 11111001 => [5,2,1] => 98
[8,7,6,5,4,3,1,2,10,9] => 111111001 => [6,2,1] => 140
[7,6,5,4,2,1,3,9,8] => 11111001 => [5,2,1] => 98
[7,6,5,4,1,3,2,9,8] => 11110101 => [4,1,1,1,1] => 275
[9,8,7,6,5,3,2,4,1] => 11111101 => [6,1,1] => 35
[9,8,7,6,5,2,4,3,1] => 11111011 => [5,1,2] => 83
[10,9,8,7,6,5,4,2,3,1] => 111111101 => [7,1,1] => 44
[2,7,4,5,6,8,1,3] => 0100010 => [1,1,3,1,1] => 233
[2,3,4,6,8,1,7,5] => 0000101 => [4,1,1,1] => 75
[2,3,4,8,6,7,9,5,1] => 00010011 => [3,1,2,2] => 365
[2,3,8,5,6,7,9,1,4] => 00100010 => [2,1,3,1,1] => 609
[2,8,4,5,6,7,9,3,1] => 01000011 => [1,1,4,2] => 343
[8,3,4,5,6,7,9,2,1] => 10000011 => [1,5,2] => 133
[2,3,4,5,7,9,1,8,6] => 00000101 => [5,1,1,1] => 110
[2,3,4,6,7,1,9,5,8] => 00001010 => [4,1,1,1,1] => 275
[2,3,4,5,9,7,8,10,6,1] => 000010011 => [4,1,2,2] => 666
[2,3,5,8,1,6,7,4] => 0001001 => [3,1,2,1] => 137
[2,3,5,6,1,7,9,4,8] => 00010010 => [3,1,2,1,1] => 502
[2,3,4,9,6,7,8,10,1,5] => 000100010 => [3,1,3,1,1] => 1330
[2,4,5,1,6,7,9,8,3] => 00100011 => [2,1,3,2] => 452
[2,3,9,5,6,7,8,10,4,1] => 001000011 => [2,1,4,2] => 1001
[2,4,7,5,6,8,1,3] => 0010010 => [2,1,2,1,1] => 252
[3,4,1,5,6,7,9,2,8] => 01000010 => [1,1,4,1,1] => 450
[2,9,4,5,6,7,8,10,3,1] => 010000011 => [1,1,5,2] => 624
[3,2,4,5,6,7,9,1,8] => 10000010 => [1,5,1,1] => 170
[9,3,4,5,6,7,8,10,1,2] => 100000010 => [1,6,1,1] => 254
[2,3,4,5,6,8,10,1,9,7] => 000000101 => [6,1,1,1] => 154
[2,3,4,7,6,9,8,5,1] => 00010111 => [3,1,1,3] => 242
[2,3,4,5,7,8,1,10,6,9] => 000001010 => [5,1,1,1,1] => 429
[2,3,4,6,9,1,7,8,5] => 00001001 => [4,1,2,1] => 235
[2,3,4,6,7,1,8,10,5,9] => 000010010 => [4,1,2,1,1] => 901
[7,3,4,6,2,8,1,5] => 1001010 => [1,2,1,1,1,1] => 345
[2,5,4,6,8,7,9,1,3] => 01001010 => [1,1,2,1,1,1,1] => 1220
[2,3,5,7,1,6,9,4,8] => 00010010 => [3,1,2,1,1] => 502
[2,3,5,6,1,7,8,10,9,4] => 000100011 => [3,1,3,2] => 998
[4,7,6,5,2,8,3,1] => 0111011 => [1,3,1,2] => 157
[4,3,5,8,6,7,9,2,1] => 10010011 => [1,2,1,2,2] => 725
[2,5,4,8,6,7,3,1] => 0101011 => [1,1,1,1,1,2] => 297
[2,4,6,1,5,7,9,3,8] => 00100010 => [2,1,3,1,1] => 609
[2,4,5,1,6,7,8,10,3,9] => 001000010 => [2,1,4,1,1] => 1304
[7,5,4,1,6,8,2,3] => 1110010 => [3,2,1,1] => 145
[2,4,8,5,6,7,9,1,3] => 00100010 => [2,1,3,1,1] => 609
[3,5,1,4,6,7,9,8,2] => 01000011 => [1,1,4,2] => 343
[3,4,1,5,6,7,8,10,2,9] => 010000010 => [1,1,5,1,1] => 794
[4,2,3,5,6,7,9,1,8] => 10000010 => [1,5,1,1] => 170
[3,2,4,5,6,7,8,10,9,1] => 100000011 => [1,6,2] => 204
[8,5,2,1,7,6,3,4] => 1110110 => [3,1,2,1] => 137
[2,7,3,6,4,1,8,5] => 0101101 => [1,1,1,2,1,1] => 359
[7,2,1,8,5,6,4,3] => 1101011 => [2,1,1,1,2] => 207
[3,6,5,1,4,8,2,7] => 0110010 => [1,2,2,1,1] => 295
[6,3,5,4,8,1,2,7] => 1010100 => [1,1,1,1,1,2] => 297
[2,5,1,4,6,3,8,7] => 0100101 => [1,1,2,1,1,1] => 359
[3,1,5,6,4,2,8,7] => 1001101 => [1,2,2,1,1] => 295
[8,5,6,4,3,1,7,2] => 1011101 => [1,1,3,1,1] => 233
[8,3,5,6,7,1,2,4] => 1000100 => [1,3,1,2] => 157
[2,1,4,7,3,6,8,5] => 1001001 => [1,2,1,2,1] => 281
[5,3,7,6,4,8,2,1] => 1011011 => [1,1,2,1,2] => 252
[3,7,6,4,2,8,1,5] => 0111010 => [1,3,1,1,1] => 219
[8,6,1,4,3,7,2,5] => 1101010 => [2,1,1,1,1,1] => 297
[8,4,7,5,1,6,3,2] => 1011011 => [1,1,2,1,2] => 252
[2,1,5,3,7,8,6,4] => 1010011 => [1,1,1,2,2] => 255
[5,1,4,7,6,8,2,3] => 1001010 => [1,2,1,1,1,1] => 345
[8,4,1,3,7,6,5,2] => 1100111 => [2,2,3] => 105
[8,3,4,1,6,7,5,2] => 1010011 => [1,1,1,2,2] => 255
[8,1,4,2,6,5,7,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,6,4,3,7,2,1,5] => 1110110 => [3,1,2,1] => 137
[5,8,1,4,3,2,6,7] => 0101100 => [1,1,1,2,2] => 255
[5,6,4,3,8,2,7,1] => 0110101 => [1,2,1,1,1,1] => 345
[1,6,4,3,8,2,7,5] => 0110101 => [1,2,1,1,1,1] => 345
[6,7,4,1,3,2,5,8] => 0110100 => [1,2,1,1,2] => 241
[7,8,1,4,3,2,5,6] => 0101100 => [1,1,1,2,2] => 255
[7,1,8,4,5,3,6,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,3,1,8,6,5,7,2] => 1101101 => [2,1,2,1,1] => 252
[4,3,2,7,5,1,8,6] => 1101101 => [2,1,2,1,1] => 252
[5,2,3,7,4,1,8,6] => 1001101 => [1,2,2,1,1] => 295
[2,1,7,4,3,6,8,5] => 1011001 => [1,1,2,2,1] => 295
[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] => 185
[8,7,1,3,4,5,6,2] => 1100001 => [2,4,1] => 81
[5,8,3,1,4,6,7,2] => 0110001 => [1,2,3,1] => 185
[1,7,2,5,4,6,8,3] => 0101001 => [1,1,1,1,2,1] => 345
[2,5,3,8,1,6,7,4] => 0101001 => [1,1,1,1,2,1] => 345
[1,6,4,2,5,7,8,3] => 0110001 => [1,2,3,1] => 185
[6,5,3,4,1,7,8,2] => 1101001 => [2,1,1,2,1] => 241
[5,6,3,4,1,7,8,2] => 0101001 => [1,1,1,1,2,1] => 345
[2,5,3,1,4,7,8,6] => 0110001 => [1,2,3,1] => 185
[6,8,2,3,1,5,7,4] => 0101001 => [1,1,1,1,2,1] => 345
[4,3,1,5,2,7,8,6] => 1101001 => [2,1,1,2,1] => 241
[5,2,3,1,4,7,8,6] => 1010001 => [1,1,1,3,1] => 219
[7,2,1,3,5,6,8,4] => 1100001 => [2,4,1] => 81
[5,2,4,7,8,6,3,1] => 1000111 => [1,3,3] => 95
[5,4,8,7,2,3,1,6] => 1011010 => [1,1,2,1,1,1] => 359
[8,1,4,5,3,6,2,7] => 1001010 => [1,2,1,1,1,1] => 345
[8,3,5,1,4,6,2,7] => 1010010 => [1,1,1,2,1,1] => 359
[5,8,2,1,7,4,3,6] => 0110110 => [1,2,1,2,1] => 281
[6,5,7,2,1,8,4,3] => 1011011 => [1,1,2,1,2] => 252
[1,5,4,7,3,8,6,2] => 0101011 => [1,1,1,1,1,2] => 297
[7,4,1,3,8,5,6,2] => 1100101 => [2,2,1,1,1] => 255
[3,6,8,4,1,7,2,5] => 0011010 => [2,2,1,1,1] => 255
[2,1,8,4,7,6,3,5] => 1010110 => [1,1,1,1,2,1] => 345
[2,7,5,6,8,4,3,1] => 0100111 => [1,1,2,3] => 145
[3,5,2,4,7,8,6,1] => 0100011 => [1,1,3,2] => 171
[7,5,6,3,8,2,1,4] => 1010110 => [1,1,1,1,2,1] => 345
[1,6,2,7,4,5,8,3] => 0101001 => [1,1,1,1,2,1] => 345
[7,4,2,6,1,5,8,3] => 1101001 => [2,1,1,2,1] => 241
[8,4,1,6,2,5,7,3] => 1101001 => [2,1,1,2,1] => 241
[7,3,4,5,1,6,8,2] => 1001001 => [1,2,1,2,1] => 281
[1,4,2,6,3,7,5,9,8] => 01010101 => [1,1,1,1,1,1,1,1] => 1430
[1,3,2,6,4,7,5,9,8] => 01010101 => [1,1,1,1,1,1,1,1] => 1430
[2,1,6,3,7,4,8,5,9] => 10101010 => [1,1,1,1,1,1,1,1] => 1430
[8,4,2,7,6,1,5,3] => 1101101 => [2,1,2,1,1] => 252
[8,4,7,1,2,6,5,3] => 1010011 => [1,1,1,2,2] => 255
[8,4,7,6,1,2,5,3] => 1011001 => [1,1,2,2,1] => 295
[8,7,6,2,1,5,3,4] => 1111010 => [4,1,1,1] => 75
[5,7,8,1,6,2,4,3] => 0010101 => [2,1,1,1,1,1] => 297
[7,9,6,8,4,5,2,3,1] => 01010101 => [1,1,1,1,1,1,1,1] => 1430
[7,9,5,8,4,6,2,3,1] => 01010101 => [1,1,1,1,1,1,1,1] => 1430
[7,9,5,8,3,6,2,4,1] => 01010101 => [1,1,1,1,1,1,1,1] => 1430
[6,8,4,7,5,2,1,3] => 0101110 => [1,1,1,3,1] => 219
[7,9,5,8,3,6,4,1,2] => 01010110 => [1,1,1,1,1,2,1] => 1166
[7,9,5,8,6,3,4,1,2] => 01011010 => [1,1,1,2,1,1,1] => 1234
[7,9,8,5,6,3,4,1,2] => 01101010 => [1,2,1,1,1,1,1] => 1166
[6,9,5,8,4,7,2,3,1] => 01010101 => [1,1,1,1,1,1,1,1] => 1430
[7,9,4,8,3,6,2,5,1] => 01010101 => [1,1,1,1,1,1,1,1] => 1430
[7,9,5,8,2,6,1,4,3] => 01010101 => [1,1,1,1,1,1,1,1] => 1430
[6,8,2,7,1,5,4,3] => 0101011 => [1,1,1,1,1,2] => 297
[7,9,5,8,3,6,4,2,1] => 01010111 => [1,1,1,1,1,3] => 572
[8,10,6,9,4,7,2,5,3,1] => 010101011 => [1,1,1,1,1,1,1,2] => 3432
[6,8,7,4,2,5,1,3] => 0111010 => [1,3,1,1,1] => 219
[7,9,5,8,6,3,1,4,2] => 01011101 => [1,1,1,3,1,1] => 842
[8,10,6,9,4,7,5,2,3,1] => 010101101 => [1,1,1,1,1,2,1,1] => 4202
[7,9,8,5,3,6,4,1,2] => 01110110 => [1,3,1,2,1] => 646
[8,10,6,9,7,4,5,2,3,1] => 010110101 => [1,1,1,2,1,1,1,1] => 4274
[9,7,5,8,6,3,4,1,2] => 11011010 => [2,1,2,1,1,1] => 875
[8,10,9,6,7,4,5,2,3,1] => 011010101 => [1,2,1,1,1,1,1,1] => 4004
[6,8,4,5,7,2,1,3] => 0100110 => [1,1,2,2,1] => 295
[6,8,4,2,5,1,3,7] => 0110100 => [1,2,1,1,2] => 241
[6,5,4,3,2,7,1,8,9] => 11110100 => [4,1,1,2] => 200
[5,4,3,2,6,1,7,8,9] => 11101000 => [3,1,1,3] => 242
[4,3,2,5,1,6,7,8,9] => 11010000 => [2,1,1,4] => 200
[3,2,4,1,5,6,7,8,9] => 10100000 => [1,1,1,5] => 110
[2,5,3,7,6,4,8,1] => 0101101 => [1,1,1,2,1,1] => 359
[3,1,5,7,6,4,2,8] => 1001110 => [1,2,3,1] => 185
[3,1,6,5,4,7,2,8] => 1011010 => [1,1,2,1,1,1] => 359
[2,5,6,8,3,4,7,1] => 0001001 => [3,1,2,1] => 137
[4,1,3,6,5,2,7,8] => 1001100 => [1,2,2,2] => 211
[3,6,2,4,5,7,1,8] => 0100010 => [1,1,3,1,1] => 233
[3,6,2,5,4,7,1,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,5,1,7,6,4,2,8] => 0101110 => [1,1,1,3,1] => 219
[3,6,1,4,5,7,2,8] => 0100010 => [1,1,3,1,1] => 233
[4,3,1,6,5,2,7,8] => 1101100 => [2,1,2,2] => 180
[4,1,2,6,5,3,7,8] => 1001100 => [1,2,2,2] => 211
[4,6,1,3,5,2,7,8] => 0100100 => [1,1,2,1,2] => 252
[3,6,4,2,5,7,1,8] => 0110010 => [1,2,2,1,1] => 295
[4,2,6,3,5,1,7,8] => 1010100 => [1,1,1,1,1,2] => 297
[3,4,7,6,5,1,2,8] => 0011100 => [2,3,2] => 126
[4,5,2,7,1,3,6,8] => 0101000 => [1,1,1,1,3] => 165
[4,6,1,2,5,3,7,8] => 0100100 => [1,1,2,1,2] => 252
[2,6,5,1,4,8,7,3] => 0110011 => [1,2,2,2] => 211
[5,8,4,7,1,3,6,2] => 0101001 => [1,1,1,1,2,1] => 345
[6,4,7,1,3,5,2,8] => 1010010 => [1,1,1,2,1,1] => 359
[6,8,1,3,5,7,4,2] => 0100011 => [1,1,3,2] => 171
[5,8,3,2,7,4,6,1] => 0110101 => [1,2,1,1,1,1] => 345
[6,8,3,1,5,4,7,2] => 0110101 => [1,2,1,1,1,1] => 345
[6,8,1,2,5,3,7,4] => 0100101 => [1,1,2,1,1,1] => 359
[5,2,8,3,4,6,7,1] => 1010001 => [1,1,1,3,1] => 219
[5,2,7,1,6,4,8,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,5,2,6,1,3,7,8] => 0101000 => [1,1,1,1,3] => 165
[4,3,5,8,6,1,7,2] => 1001101 => [1,2,2,1,1] => 295
[5,1,3,6,7,4,2,8] => 1000110 => [1,3,2,1] => 185
[4,2,8,3,6,7,5,1] => 1010011 => [1,1,1,2,2] => 255
[3,1,7,8,5,6,2,4] => 1001010 => [1,2,1,1,1,1] => 345
[6,2,1,7,5,3,4,8] => 1101100 => [2,1,2,2] => 180
[3,7,1,8,5,2,4,6] => 0101100 => [1,1,1,2,2] => 255
[4,2,8,6,7,1,3,5] => 1010100 => [1,1,1,1,1,2] => 297
[6,1,2,4,7,3,5,8] => 1000100 => [1,3,1,2] => 157
[5,3,1,6,4,7,2,8] => 1101010 => [2,1,1,1,1,1] => 297
[1,2,4,5,8,7,3,6] => 0000110 => [4,2,1] => 65
[1,3,4,7,5,8,6,2] => 0001011 => [3,1,1,2] => 117
[1,5,2,3,7,8,6,4] => 0100011 => [1,1,3,2] => 171
[4,2,8,1,6,5,7,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[1,3,5,2,7,4,6,9,8] => 00101001 => [2,1,1,1,2,1] => 821
[1,2,4,3,6,5,8,7,9] => 00101010 => [2,1,1,1,1,1,1] => 1001
[1,3,5,7,2,4,6,9,8] => 00010001 => [3,1,3,1] => 332
[1,3,5,7,2,4,6,9,8,10] => 000100010 => [3,1,3,1,1] => 1330
[1,3,5,7,2,9,4,6,8] => 00010100 => [3,1,1,1,2] => 407
[5,6,1,4,8,3,2,7] => 0100110 => [1,1,2,2,1] => 295
[3,6,4,1,7,2,8,5] => 0110101 => [1,2,1,1,1,1] => 345
[5,6,2,1,3,7,4,8,9] => 01100100 => [1,2,2,1,2] => 731
[3,2,5,1,6,4,7,8,9] => 10101000 => [1,1,1,1,1,3] => 572
[6,7,2,1,8,3,4,9,5] => 01101001 => [1,2,1,1,2,1] => 958
[3,6,4,1,7,2,8,5,9] => 01101010 => [1,2,1,1,1,1,1] => 1166
[3,6,7,2,1,4,8,5,9] => 00110010 => [2,2,2,1,1] => 765
[4,2,6,1,7,5,3,8,9] => 10101100 => [1,1,1,1,2,2] => 875
[4,3,2,6,1,7,5,8,9] => 11010100 => [2,1,1,1,1,2] => 704
[4,7,2,5,1,8,3,9,6] => 01010101 => [1,1,1,1,1,1,1,1] => 1430
[4,3,7,8,2,1,5,9,6] => 10011001 => [1,2,2,2,1] => 858
[3,5,2,7,1,8,6,4,9] => 01010110 => [1,1,1,1,1,2,1] => 1166
[5,4,3,2,7,1,8,6,9] => 11101010 => [3,1,1,1,1,1] => 572
[6,4,2,8,1,9,7,5,3] => 11010111 => [2,1,1,1,3] => 407
[4,3,6,2,8,1,9,7,5] => 10101011 => [1,1,1,1,1,1,2] => 1001
[6,5,4,3,2,8,1,9,7] => 11110101 => [4,1,1,1,1] => 275
[2,4,1,5,3,6,7,8,9,10] => 010100000 => [1,1,1,1,5] => 429
[5,6,2,1,3,7,4,8,9,10] => 011001000 => [1,2,2,1,3] => 1532
[3,2,5,1,6,4,7,8,9,10] => 101010000 => [1,1,1,1,1,4] => 1001
[6,7,2,1,8,3,4,9,5,10] => 011010010 => [1,2,1,1,2,1,1] => 3484
[3,6,4,1,7,2,8,5,9,10] => 011010100 => [1,2,1,1,1,1,2] => 2838
[3,6,7,2,1,4,8,5,9,10] => 001100100 => [2,2,2,1,2] => 1963
[4,2,6,1,7,5,3,8,9,10] => 101011000 => [1,1,1,1,2,3] => 1834
[4,3,2,6,1,7,5,8,9,10] => 110101000 => [2,1,1,1,1,3] => 1430
[3,4,7,1,8,2,9,5,10,6] => 001010101 => [2,1,1,1,1,1,1,1] => 3432
[7,8,9,3,2,1,4,5,10,6] => 001110001 => [2,3,3,1] => 1389
[4,7,2,5,1,8,3,9,6,10] => 010101010 => [1,1,1,1,1,1,1,1,1] => 4862
[4,3,7,8,2,1,5,9,6,10] => 100110010 => [1,2,2,2,1,1] => 3164
[3,5,2,7,1,8,6,4,9,10] => 010101100 => [1,1,1,1,1,2,2] => 3036
[5,4,3,2,7,1,8,6,9,10] => 111010100 => [3,1,1,1,1,2] => 1430
[5,8,9,2,1,6,3,10,7,4] => 001101011 => [2,2,1,1,1,2] => 2161
[5,3,8,6,4,1,9,2,10,7] => 101110101 => [1,1,3,1,1,1,1] => 3014
[3,5,8,2,6,1,9,4,10,7] => 001010101 => [2,1,1,1,1,1,1,1] => 3432
[5,4,3,8,9,2,1,6,10,7] => 110011001 => [2,2,2,2,1] => 2306
[6,4,2,8,1,9,7,5,3,10] => 110101110 => [2,1,1,1,3,1] => 1947
[4,3,6,2,8,1,9,7,5,10] => 101010110 => [1,1,1,1,1,1,2,1] => 4004
[6,5,4,3,2,8,1,9,7,10] => 111101010 => [4,1,1,1,1,1] => 1001
[5,3,7,2,9,1,10,8,6,4] => 101010111 => [1,1,1,1,1,1,3] => 2002
[5,4,3,7,2,9,1,10,8,6] => 110101011 => [2,1,1,1,1,1,2] => 2431
[7,6,5,4,3,2,9,1,10,8] => 111110101 => [5,1,1,1,1] => 429
[5,2,6,3,7,8,4,1] => 1010011 => [1,1,1,2,2] => 255
[2,4,1,3,7,8,6,5] => 0100011 => [1,1,3,2] => 171
[2,6,1,5,7,8,4,3] => 0100011 => [1,1,3,2] => 171
[5,1,6,4,7,8,2,3] => 1010010 => [1,1,1,2,1,1] => 359
[8,4,6,3,7,5,1,2] => 1010110 => [1,1,1,1,2,1] => 345
[4,7,6,8,2,3,5,1] => 0101001 => [1,1,1,1,2,1] => 345
[5,7,4,8,1,2,6,3] => 0101001 => [1,1,1,1,2,1] => 345
[3,6,7,5,8,1,4,2] => 0010101 => [2,1,1,1,1,1] => 297
[3,7,5,6,8,2,4,1] => 0100101 => [1,1,2,1,1,1] => 359
[2,7,1,6,8,4,5,3] => 0100101 => [1,1,2,1,1,1] => 359
[1,5,4,7,2,6,3,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,4,5,8,3,1,7,6] => 0001101 => [3,2,1,1] => 145
[1,4,7,5,8,3,6,2] => 0010101 => [2,1,1,1,1,1] => 297
[2,6,8,7,3,5,1,4] => 0011010 => [2,2,1,1,1] => 255
[4,7,8,6,2,5,1,3] => 0011010 => [2,2,1,1,1] => 255
[4,8,7,3,5,6,2,1] => 0110011 => [1,2,2,2] => 211
[1,7,6,3,5,4,2,8] => 0110110 => [1,2,1,2,1] => 281
[4,3,8,1,6,5,7,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[1,3,6,2,5,8,7,4] => 0010011 => [2,1,2,2] => 180
[5,8,7,1,4,6,3,2] => 0110011 => [1,2,2,2] => 211
[6,2,5,1,3,4,8,7] => 1010001 => [1,1,1,3,1] => 219
[2,6,5,1,3,4,8,7] => 0110001 => [1,2,3,1] => 185
[4,6,5,1,2,7,3,8] => 0110010 => [1,2,2,1,1] => 295
[5,6,4,1,2,7,3,8] => 0110010 => [1,2,2,1,1] => 295
[8,1,5,6,2,4,3,7] => 1001010 => [1,2,1,1,1,1] => 345
[6,4,5,1,2,7,3,8] => 1010010 => [1,1,1,2,1,1] => 359
[5,4,6,1,3,2,7,8] => 1010100 => [1,1,1,1,1,2] => 297
[5,7,1,4,3,2,6,8] => 0101100 => [1,1,1,2,2] => 255
[2,6,4,1,3,7,5,8] => 0110010 => [1,2,2,1,1] => 295
[7,8,5,3,2,1,6,4] => 0111101 => [1,4,1,1] => 107
[1,2,6,7,8,4,5,3] => 0000101 => [4,1,1,1] => 75
[6,1,4,8,2,7,5,3] => 1001011 => [1,2,1,1,2] => 241
[5,2,3,7,1,8,4,6] => 1001010 => [1,2,1,1,1,1] => 345
[7,2,3,1,8,4,6,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,4,1,7,3,2,8,6] => 1101101 => [2,1,2,1,1] => 252
[7,3,4,5,1,8,6,2] => 1001011 => [1,2,1,1,2] => 241
[1,5,6,7,4,8,2,3] => 0001010 => [3,1,1,1,1] => 165
[6,3,2,5,7,4,8,1] => 1100101 => [2,2,1,1,1] => 255
[5,7,3,8,1,2,4,6] => 0101000 => [1,1,1,1,3] => 165
[4,5,2,7,6,3,1,8] => 0101110 => [1,1,1,3,1] => 219
[4,5,2,1,7,6,3,8] => 0110110 => [1,2,1,2,1] => 281
[2,6,7,8,3,1,4,5] => 0001100 => [3,2,2] => 105
[6,3,2,5,1,7,8,4] => 1101001 => [2,1,1,2,1] => 241
[4,6,3,7,8,2,1,5] => 0100110 => [1,1,2,2,1] => 295
[5,6,7,1,8,4,2,3] => 0010110 => [2,1,1,2,1] => 241
[1,7,8,4,6,5,2,3] => 0010110 => [2,1,1,2,1] => 241
[1,7,3,2,8,6,5,4] => 0110111 => [1,2,1,3] => 137
[3,7,1,2,8,6,5,4] => 0100111 => [1,1,2,3] => 145
[2,7,8,1,6,5,3,4] => 0010110 => [2,1,1,2,1] => 241
[2,5,8,1,7,6,3,4] => 0010110 => [2,1,1,2,1] => 241
[8,1,5,7,3,4,6,2] => 1001001 => [1,2,1,2,1] => 281
[5,8,2,7,6,3,1,4] => 0101110 => [1,1,1,3,1] => 219
[2,8,4,7,6,3,1,5] => 0101110 => [1,1,1,3,1] => 219
[1,8,2,4,7,6,3,5] => 0100110 => [1,1,2,2,1] => 295
[4,5,8,7,1,6,2,3] => 0011010 => [2,2,1,1,1] => 255
[1,8,2,4,6,7,5,3] => 0100011 => [1,1,3,2] => 171
[3,4,2,8,1,7,6,5] => 0101011 => [1,1,1,1,1,2] => 297
[2,4,5,8,1,7,6,3] => 0001011 => [3,1,1,2] => 117
[3,1,8,2,6,7,5,4] => 1010011 => [1,1,1,2,2] => 255
[2,6,8,1,4,3,7,5] => 0010101 => [2,1,1,1,1,1] => 297
[4,1,8,2,6,7,3,5] => 1010010 => [1,1,1,2,1,1] => 359
[1,6,5,2,8,7,3,4] => 0110110 => [1,2,1,2,1] => 281
[8,1,7,3,5,2,4,6] => 1010100 => [1,1,1,1,1,2] => 297
[8,1,3,2,7,6,4,5] => 1010110 => [1,1,1,1,2,1] => 345
[7,3,4,8,6,2,5,1] => 1001101 => [1,2,2,1,1] => 295
[7,5,8,1,6,2,3,4] => 1010100 => [1,1,1,1,1,2] => 297
[6,8,4,5,3,1,7,2] => 0101101 => [1,1,1,2,1,1] => 359
[6,7,5,3,2,8,4,1] => 0111011 => [1,3,1,2] => 157
[6,2,5,3,8,1,4,7] => 1010100 => [1,1,1,1,1,2] => 297
[7,6,1,3,5,2,4,8] => 1100100 => [2,2,1,2] => 180
[6,2,4,5,3,8,1,7] => 1001010 => [1,2,1,1,1,1] => 345
[6,1,5,4,7,2,3,8] => 1010100 => [1,1,1,1,1,2] => 297
[6,8,5,4,7,1,3,2] => 0110101 => [1,2,1,1,1,1] => 345
[1,6,8,4,2,5,7,3] => 0011001 => [2,2,2,1] => 211
[7,5,8,1,3,4,2,6] => 1010010 => [1,1,1,2,1,1] => 359
[1,4,2,8,3,5,7,6] => 0101001 => [1,1,1,1,2,1] => 345
[1,3,5,4,8,7,2,6] => 0010110 => [2,1,1,2,1] => 241
[1,6,2,4,8,3,7,5] => 0100101 => [1,1,2,1,1,1] => 359
[1,7,8,5,4,2,6,3] => 0011101 => [2,3,1,1] => 171
[1,5,2,8,6,4,7,3] => 0101101 => [1,1,1,2,1,1] => 359
[1,6,5,2,7,4,8,3] => 0110101 => [1,2,1,1,1,1] => 345
[5,1,6,7,4,2,8,3] => 1001101 => [1,2,2,1,1] => 295
[6,8,1,5,2,3,7,4] => 0101001 => [1,1,1,1,2,1] => 345
[1,5,4,2,8,6,7,3] => 0110101 => [1,2,1,1,1,1] => 345
[1,8,5,4,6,2,7,3] => 0110101 => [1,2,1,1,1,1] => 345
[1,7,5,4,6,2,8,3] => 0110101 => [1,2,1,1,1,1] => 345
[5,8,4,1,6,2,7,3] => 0110101 => [1,2,1,1,1,1] => 345
[4,8,1,3,7,6,2,5] => 0100110 => [1,1,2,2,1] => 295
[4,5,3,1,2,8,7,6] => 0110011 => [1,2,2,2] => 211
[6,4,2,3,1,8,7,5] => 1101011 => [2,1,1,1,2] => 207
[6,5,2,1,3,8,7,4] => 1110011 => [3,2,2] => 105
[7,6,1,8,2,5,3,4] => 1101010 => [2,1,1,1,1,1] => 297
[8,4,2,3,7,6,1,5] => 1100110 => [2,2,2,1] => 211
[5,7,8,1,2,4,3,6] => 0010010 => [2,1,2,1,1] => 252
[1,7,6,8,3,5,4,2] => 0101011 => [1,1,1,1,1,2] => 297
[5,7,6,4,2,1,3,8] => 0111100 => [1,4,2] => 81
[6,5,7,4,1,3,2,8] => 1011010 => [1,1,2,1,1,1] => 359
[4,6,1,8,3,5,2,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[7,1,6,8,2,5,4,3] => 1001011 => [1,2,1,1,2] => 241
[4,7,1,8,3,2,5,6] => 0101100 => [1,1,1,2,2] => 255
[4,8,3,6,1,5,2,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,7,8,6,4,5,3,2] => 0011011 => [2,2,1,2] => 180
[3,2,8,6,4,5,1,7] => 1011010 => [1,1,2,1,1,1] => 359
[8,4,3,6,2,5,1,7] => 1101010 => [2,1,1,1,1,1] => 297
[1,6,8,7,4,3,5,2] => 0011101 => [2,3,1,1] => 171
[3,1,2,6,8,7,5,4] => 1000111 => [1,3,3] => 95
[5,7,4,2,1,8,6,3] => 0111011 => [1,3,1,2] => 157
[8,6,5,7,2,4,3,1] => 1101011 => [2,1,1,1,2] => 207
[7,4,6,1,8,5,3,2] => 1010111 => [1,1,1,1,3] => 165
[7,4,6,3,8,1,5,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,4,8,1,6,3,2,5] => 1010110 => [1,1,1,1,2,1] => 345
[7,4,8,3,6,2,1,5] => 1010110 => [1,1,1,1,2,1] => 345
[6,4,8,2,3,5,7,1] => 1010001 => [1,1,1,3,1] => 219
[4,6,8,2,5,7,1,3] => 0010010 => [2,1,2,1,1] => 252
[6,4,8,2,5,7,1,3] => 1010010 => [1,1,1,2,1,1] => 359
[6,2,4,5,8,3,7,1] => 1000101 => [1,3,1,1,1] => 219
[6,8,2,4,7,3,5,1] => 0100101 => [1,1,2,1,1,1] => 359
[8,4,6,2,7,1,3,5] => 1010100 => [1,1,1,1,1,2] => 297
[6,8,4,2,7,1,3,5] => 0110100 => [1,2,1,1,2] => 241
[6,8,2,4,1,7,3,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[7,5,1,6,2,4,8,3] => 1101001 => [2,1,1,2,1] => 241
[4,2,5,7,1,6,8,3] => 1001001 => [1,2,1,2,1] => 281
[2,4,8,5,6,7,3,1] => 0010011 => [2,1,2,2] => 180
[4,5,2,3,8,7,1,6] => 0100110 => [1,1,2,2,1] => 295
[2,5,4,7,6,1,3,8] => 0101100 => [1,1,1,2,2] => 255
[5,2,3,7,6,1,4,8] => 1001100 => [1,2,2,2] => 211
[4,2,3,7,6,1,5,8] => 1001100 => [1,2,2,2] => 211
[4,2,7,3,5,1,6,8] => 1010100 => [1,1,1,1,1,2] => 297
[5,6,2,3,8,4,7,1] => 0100101 => [1,1,2,1,1,1] => 359
[5,6,2,3,1,7,8,4] => 0101001 => [1,1,1,1,2,1] => 345
[5,7,2,3,4,1,6,8] => 0100100 => [1,1,2,1,2] => 252
[6,2,7,3,5,1,4,8] => 1010100 => [1,1,1,1,1,2] => 297
[7,2,6,3,5,1,4,8] => 1010100 => [1,1,1,1,1,2] => 297
[6,5,2,3,1,7,8,4] => 1101001 => [2,1,1,2,1] => 241
[6,5,2,3,8,4,7,1] => 1100101 => [2,2,1,1,1] => 255
[7,5,2,1,4,6,8,3] => 1110001 => [3,3,1] => 95
[8,5,2,3,1,6,4,7] => 1101010 => [2,1,1,1,1,1] => 297
[8,6,2,3,1,5,4,7] => 1101010 => [2,1,1,1,1,1] => 297
[8,2,6,3,1,7,4,5] => 1011010 => [1,1,2,1,1,1] => 359
[1,6,3,4,2,7,5,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[8,5,2,7,3,4,6,1] => 1101001 => [2,1,1,2,1] => 241
[1,7,2,4,5,6,8,3] => 0100001 => [1,1,4,1] => 107
[1,8,3,2,5,6,4,7] => 0110010 => [1,2,2,1,1] => 295
[7,2,8,1,4,6,3,5] => 1010010 => [1,1,1,2,1,1] => 359
[2,7,8,1,5,6,3,4] => 0010010 => [2,1,2,1,1] => 252
[6,8,2,3,1,5,4,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,8,2,3,1,6,4,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,7,2,1,4,6,8,3] => 0110001 => [1,2,3,1] => 185
[4,2,7,1,5,6,8,3] => 1010001 => [1,1,1,3,1] => 219
[4,2,3,8,1,7,5,6] => 1001010 => [1,2,1,1,1,1] => 345
[4,2,1,5,3,7,6,8] => 1101010 => [2,1,1,1,1,1] => 297
[5,1,3,8,4,6,7,2] => 1001001 => [1,2,1,2,1] => 281
[5,1,3,2,6,7,8,4] => 1010001 => [1,1,1,3,1] => 219
[5,1,3,4,2,7,6,8] => 1001010 => [1,2,1,1,1,1] => 345
[6,1,3,4,2,7,5,8] => 1001010 => [1,2,1,1,1,1] => 345
[7,2,1,3,5,8,4,6] => 1100010 => [2,3,1,1] => 171
[6,8,7,2,3,4,5,1] => 0110001 => [1,2,3,1] => 185
[1,9,8,10,7,6,5,4,3,2] => 010111111 => [1,1,1,6] => 154
[2,8,7,9,6,5,4,3,1] => 01011111 => [1,1,1,5] => 110
[3,7,2,8,1,4,5,6] => 0101000 => [1,1,1,1,3] => 165
[5,2,3,7,4,6,1,8] => 1001010 => [1,2,1,1,1,1] => 345
[2,5,3,7,4,6,1,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,6,7,3,4,5,1,8] => 0010010 => [2,1,2,1,1] => 252
[6,2,7,3,4,5,1,8] => 1010010 => [1,1,1,2,1,1] => 359
[3,8,4,5,2,1,6,7] => 0101100 => [1,1,1,2,2] => 255
[2,7,6,3,4,5,1,8] => 0110010 => [1,2,2,1,1] => 295
[2,8,7,5,1,3,4,6] => 0111000 => [1,3,3] => 95
[3,1,2,9,4,5,6,7,8] => 10010000 => [1,2,1,4] => 235
[4,1,2,3,9,5,6,7,8] => 10001000 => [1,3,1,3] => 332
[5,1,2,3,4,9,6,7,8] => 10000100 => [1,4,1,2] => 303
[6,1,2,3,4,5,9,7,8] => 10000010 => [1,5,1,1] => 170
[2,1,10,3,4,5,6,7,8,9] => 101000000 => [1,1,1,6] => 154
[3,1,2,10,4,5,6,7,8,9] => 100100000 => [1,2,1,5] => 375
[3,4,1,2,9,5,6,7,8] => 01001000 => [1,1,2,1,3] => 502
[4,1,2,3,10,5,6,7,8,9] => 100010000 => [1,3,1,4] => 626
[4,5,1,2,3,9,6,7,8] => 01000100 => [1,1,3,1,2] => 609
[5,1,2,3,4,10,6,7,8,9] => 100001000 => [1,4,1,3] => 709
[5,6,1,2,3,4,9,7,8] => 01000010 => [1,1,4,1,1] => 450
[6,1,2,3,4,5,10,7,8,9] => 100000100 => [1,5,1,2] => 534
[6,7,1,2,3,4,5,9,8] => 01000001 => [1,1,5,1] => 170
[7,1,2,3,4,5,6,10,8,9] => 100000010 => [1,6,1,1] => 254
[4,5,7,2,8,3,6,1] => 0010101 => [2,1,1,1,1,1] => 297
[9,7,5,3,1,8,6,4,2] => 11110111 => [4,1,3] => 125
[9,6,3,8,5,2,7,4,1] => 11011011 => [2,1,2,1,2] => 623
[8,5,2,9,6,3,7,4,1] => 11011011 => [2,1,2,1,2] => 623
[9,5,1,6,2,7,3,8,4] => 11010101 => [2,1,1,1,1,1,1] => 1001
[9,5,1,8,4,7,3,6,2] => 11010101 => [2,1,1,1,1,1,1] => 1001
[8,4,7,3,6,2,9,5,1] => 10101011 => [1,1,1,1,1,1,2] => 1001
[7,3,8,4,6,2,9,5,1] => 10101011 => [1,1,1,1,1,1,2] => 1001
[9,4,7,2,5,8,3,6,1] => 10100101 => [1,1,1,2,1,1,1] => 1234
[9,4,6,1,8,3,5,7,2] => 10101001 => [1,1,1,1,1,2,1] => 1166
[8,3,5,7,2,9,4,6,1] => 10010101 => [1,2,1,1,1,1,1] => 1166
[7,2,8,3,9,4,5,6,1] => 10101001 => [1,1,1,1,1,2,1] => 1166
[8,3,7,2,9,4,5,6,1] => 10101001 => [1,1,1,1,1,2,1] => 1166
[5,8,3,7,2,9,4,6,1] => 01010101 => [1,1,1,1,1,1,1,1] => 1430
[4,5,6,9,3,8,2,7,1] => 00010101 => [3,1,1,1,1,1] => 572
[4,5,6,8,2,9,3,7,1] => 00010101 => [3,1,1,1,1,1] => 572
[9,3,6,5,4,7,1,8,2] => 10110101 => [1,1,2,1,1,1,1] => 1220
[8,2,9,3,6,5,4,7,1] => 10101101 => [1,1,1,1,2,1,1] => 1220
[6,5,4,8,2,9,3,7,1] => 11010101 => [2,1,1,1,1,1,1] => 1001
[5,6,4,8,2,9,3,7,1] => 01010101 => [1,1,1,1,1,1,1,1] => 1430
[9,2,7,4,5,6,3,8,1] => 10100101 => [1,1,1,2,1,1,1] => 1234
[7,4,5,6,3,9,2,8,1] => 10010101 => [1,2,1,1,1,1,1] => 1166
[5,7,4,6,3,9,2,8,1] => 01010101 => [1,1,1,1,1,1,1,1] => 1430
[10,8,6,4,2,9,7,5,3,1] => 111101111 => [4,1,4] => 251
[10,7,4,1,8,5,2,9,6,3] => 111011011 => [3,1,2,1,2] => 1304
[9,6,3,8,5,2,10,7,4,1] => 110110111 => [2,1,2,1,3] => 1304
[9,5,1,7,3,10,6,2,8,4] => 110101101 => [2,1,1,1,2,1,1] => 2982
[10,6,2,7,3,8,4,9,5,1] => 110101011 => [2,1,1,1,1,1,2] => 2431
[7,3,8,4,10,6,2,9,5,1] => 101011011 => [1,1,1,1,2,1,2] => 3054
[8,4,7,3,10,6,2,9,5,1] => 101011011 => [1,1,1,1,2,1,2] => 3054
[10,5,8,3,6,1,9,4,7,2] => 101010101 => [1,1,1,1,1,1,1,1,1] => 4862
[9,4,7,2,10,5,8,3,6,1] => 101010101 => [1,1,1,1,1,1,1,1,1] => 4862
[10,5,7,2,8,3,9,4,6,1] => 101010101 => [1,1,1,1,1,1,1,1,1] => 4862
[8,3,10,5,7,2,9,4,6,1] => 101010101 => [1,1,1,1,1,1,1,1,1] => 4862
[8,3,9,4,7,2,10,5,6,1] => 101010101 => [1,1,1,1,1,1,1,1,1] => 4862
[9,3,5,7,1,10,4,6,8,2] => 100101001 => [1,2,1,1,1,2,1] => 3314
[10,4,6,8,2,9,3,5,7,1] => 100101001 => [1,2,1,1,1,2,1] => 3314
[10,4,5,6,7,1,8,2,9,3] => 100010101 => [1,3,1,1,1,1,1] => 2717
[8,2,9,3,10,4,5,6,7,1] => 101010001 => [1,1,1,1,1,3,1] => 2717
[9,3,8,2,10,4,5,6,7,1] => 101010001 => [1,1,1,1,1,3,1] => 2717
[5,6,9,3,7,1,10,4,8,2] => 001010101 => [2,1,1,1,1,1,1,1] => 3432
[5,6,10,4,8,2,9,3,7,1] => 001010101 => [2,1,1,1,1,1,1,1] => 3432
[5,6,9,3,8,2,10,4,7,1] => 001010101 => [2,1,1,1,1,1,1,1] => 3432
[6,5,9,3,8,2,10,4,7,1] => 101010101 => [1,1,1,1,1,1,1,1,1] => 4862
[9,2,7,6,5,4,10,3,8,1] => 101110101 => [1,1,3,1,1,1,1] => 3014
[10,3,7,6,5,4,8,1,9,2] => 101110101 => [1,1,3,1,1,1,1] => 3014
[9,2,10,3,7,6,5,4,8,1] => 101011101 => [1,1,1,1,3,1,1] => 3014
[7,6,5,4,9,2,10,3,8,1] => 111010101 => [3,1,1,1,1,1,1] => 2002
[6,4,7,5,10,3,9,2,8,1] => 101010101 => [1,1,1,1,1,1,1,1,1] => 4862
[6,4,7,5,9,2,10,3,8,1] => 101010101 => [1,1,1,1,1,1,1,1,1] => 4862
[7,5,6,4,9,2,10,3,8,1] => 101010101 => [1,1,1,1,1,1,1,1,1] => 4862
[6,5,7,4,9,2,10,3,8,1] => 101010101 => [1,1,1,1,1,1,1,1,1] => 4862
[5,6,7,3,8,4,9,1,10,2] => 001010101 => [2,1,1,1,1,1,1,1] => 3432
[5,6,7,3,8,4,10,2,9,1] => 001010101 => [2,1,1,1,1,1,1,1] => 3432
[5,6,8,4,7,3,10,2,9,1] => 001010101 => [2,1,1,1,1,1,1,1] => 3432
[6,5,8,4,7,3,10,2,9,1] => 101010101 => [1,1,1,1,1,1,1,1,1] => 4862
[5,2,1,3,6,7,8,4] => 1100001 => [2,4,1] => 81
[1,6,5,7,2,8,3,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[7,5,2,6,1,8,4,3] => 1101011 => [2,1,1,1,2] => 207
[6,1,5,2,7,8,4,3] => 1010011 => [1,1,1,2,2] => 255
[1,6,5,7,2,8,4,3] => 0101011 => [1,1,1,1,1,2] => 297
[1,5,4,6,2,8,7,3] => 0101011 => [1,1,1,1,1,2] => 297
[1,5,4,6,2,8,3,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,5,6,4,8,2,3,7] => 0010100 => [2,1,1,1,2] => 207
[6,2,1,5,8,4,7,3] => 1100101 => [2,2,1,1,1] => 255
[7,5,6,8,4,1,3,2] => 1001101 => [1,2,2,1,1] => 295
[8,3,7,5,1,4,2,6] => 1011010 => [1,1,2,1,1,1] => 359
[8,1,5,7,3,6,2,4] => 1001010 => [1,2,1,1,1,1] => 345
[8,3,2,6,4,5,1,7] => 1101010 => [2,1,1,1,1,1] => 297
[8,5,3,7,4,1,2,6] => 1101100 => [2,1,2,2] => 180
[8,5,6,2,7,1,3,4] => 1010100 => [1,1,1,1,1,2] => 297
[8,4,7,2,6,5,1,3] => 1010110 => [1,1,1,1,2,1] => 345
[8,5,7,3,2,6,1,4] => 1011010 => [1,1,2,1,1,1] => 359
[8,1,2,3,6,4,7,5] => 1000101 => [1,3,1,1,1] => 219
[7,6,2,3,5,8,1,4] => 1100010 => [2,3,1,1] => 171
[4,5,3,7,8,1,6,2] => 0100101 => [1,1,2,1,1,1] => 359
[3,4,2,8,1,6,7,5] => 0101001 => [1,1,1,1,2,1] => 345
[8,3,4,1,5,7,6,2] => 1010011 => [1,1,1,2,2] => 255
[4,3,7,5,1,6,2,8] => 1011010 => [1,1,2,1,1,1] => 359
[5,2,6,1,4,3,7,8] => 1010100 => [1,1,1,1,1,2] => 297
[5,3,7,4,2,8,6,1] => 1011011 => [1,1,2,1,2] => 252
[7,2,5,8,6,1,4,3] => 1001101 => [1,2,2,1,1] => 295
[5,3,1,4,6,7,8,2] => 1100001 => [2,4,1] => 81
[4,6,2,1,3,7,8,5] => 0110001 => [1,2,3,1] => 185
[2,5,4,1,3,6,7,8] => 0110000 => [1,2,4] => 65
[6,5,2,7,4,1,3,8] => 1101100 => [2,1,2,2] => 180
[4,2,5,6,7,8,9,1,3] => 10000010 => [1,5,1,1] => 170
[3,1,6,7,8,4,5,2] => 1000101 => [1,3,1,1,1] => 219
[7,4,5,6,2,1,8,3] => 1001101 => [1,2,2,1,1] => 295
[4,2,5,6,7,8,9,10,1,3] => 100000010 => [1,6,1,1] => 254
[3,7,5,6,2,1,8,4] => 0101101 => [1,1,1,2,1,1] => 359
[1,7,6,3,8,4,5,2] => 0110101 => [1,2,1,1,1,1] => 345
[6,4,1,2,7,8,3,5] => 1100010 => [2,3,1,1] => 171
[6,4,1,3,5,2,7,8] => 1100100 => [2,2,1,2] => 180
[5,1,8,3,4,6,2,7] => 1010010 => [1,1,1,2,1,1] => 359
[4,5,8,2,3,7,1,6] => 0010010 => [2,1,2,1,1] => 252
[7,3,4,8,2,5,1,6] => 1001010 => [1,2,1,1,1,1] => 345
[4,7,2,5,1,6,8,3] => 0101001 => [1,1,1,1,2,1] => 345
[6,3,1,7,4,2,5,8] => 1101100 => [2,1,2,2] => 180
[8,7,2,1,5,3,6,4] => 1110101 => [3,1,1,1,1] => 165
[7,2,8,1,5,6,4,3] => 1010011 => [1,1,1,2,2] => 255
[5,6,4,2,1,8,3,7] => 0111010 => [1,3,1,1,1] => 219
[5,7,3,6,4,1,2,8] => 0101100 => [1,1,1,2,2] => 255
[2,4,3,5,8,1,6,7] => 0100100 => [1,1,2,1,2] => 252
[2,6,5,3,8,1,4,7] => 0110100 => [1,2,1,1,2] => 241
[6,1,2,4,3,5,7,8] => 1001000 => [1,2,1,3] => 137
[6,5,8,2,7,3,4,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[1,7,6,8,4,3,2,5] => 0101110 => [1,1,1,3,1] => 219
[1,7,6,5,3,8,2,4] => 0111010 => [1,3,1,1,1] => 219
[6,1,2,4,3,5,8,7] => 1001001 => [1,2,1,2,1] => 281
[4,6,1,3,7,8,5,2] => 0100011 => [1,1,3,2] => 171
[8,4,1,5,2,6,7,3] => 1101001 => [2,1,1,2,1] => 241
[1,5,6,3,8,7,2,4] => 0010110 => [2,1,1,2,1] => 241
[5,3,2,6,8,7,1,4] => 1100110 => [2,2,2,1] => 211
[6,3,5,2,7,1,4,8] => 1010100 => [1,1,1,1,1,2] => 297
[8,5,2,6,7,1,4,3] => 1100101 => [2,2,1,1,1] => 255
[5,3,8,7,1,4,2,6] => 1011010 => [1,1,2,1,1,1] => 359
[6,4,5,3,1,8,7,2] => 1011011 => [1,1,2,1,2] => 252
[8,5,1,2,3,6,7,4] => 1100001 => [2,4,1] => 81
[2,8,6,1,5,4,7,3] => 0110101 => [1,2,1,1,1,1] => 345
[8,3,2,6,1,5,7,4] => 1101001 => [2,1,1,2,1] => 241
[3,8,6,4,7,1,2,5] => 0110100 => [1,2,1,1,2] => 241
[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] => 297
[3,1,4,7,6,2,5,8] => 1001100 => [1,2,2,2] => 211
[5,3,4,1,6,2,7,8] => 1010100 => [1,1,1,1,1,2] => 297
[2,7,1,4,6,3,5,8] => 0100100 => [1,1,2,1,2] => 252
[7,3,1,6,5,2,4,8] => 1101100 => [2,1,2,2] => 180
[7,1,5,2,4,6,3,8] => 1010010 => [1,1,1,2,1,1] => 359
[6,1,4,5,2,7,3,8] => 1001010 => [1,2,1,1,1,1] => 345
[6,1,5,8,2,7,4,3] => 1001011 => [1,2,1,1,2] => 241
[7,1,2,3,6,4,5,8] => 1000100 => [1,3,1,2] => 157
[7,1,2,3,9,5,6,10,8,4] => 100010011 => [1,3,1,2,2] => 1761
[6,1,2,9,4,5,3,10,8,7] => 100101011 => [1,2,1,1,1,1,2] => 2838
[9,1,2,3,8,5,10,7,6,4] => 100010111 => [1,3,1,1,3] => 1177
[9,1,2,8,4,3,10,7,5,6] => 100110110 => [1,2,2,1,2,1] => 2994
[8,1,2,7,4,10,6,5,3,9] => 100101110 => [1,2,1,1,3,1] => 2279
[9,1,8,3,2,5,10,7,4,6] => 101100110 => [1,1,2,2,2,1] => 3164
[8,1,7,3,2,10,6,4,5,9] => 101101100 => [1,1,2,1,2,2] => 2661
[7,1,2,3,10,5,6,9,8,4] => 100010011 => [1,3,1,2,2] => 1761
[6,1,2,10,4,5,3,9,8,7] => 100101011 => [1,2,1,1,1,1,2] => 2838
[8,1,2,3,10,5,9,6,7,4] => 100010101 => [1,3,1,1,1,1,1] => 2717
[8,1,2,10,4,3,9,5,7,6] => 100110101 => [1,2,2,1,1,1,1] => 3584
[7,1,2,10,4,9,5,3,6,8] => 100101100 => [1,2,1,1,2,2] => 2526
[8,1,10,3,2,5,9,4,7,6] => 101100101 => [1,1,2,2,1,1,1] => 3754
[7,1,10,3,2,9,4,5,6,8] => 101101000 => [1,1,2,1,1,3] => 1762
[10,1,2,3,9,5,8,7,6,4] => 100010111 => [1,3,1,1,3] => 1177
[10,1,2,9,4,3,8,7,5,6] => 100110110 => [1,2,2,1,2,1] => 2994
[10,1,2,9,4,8,3,6,5,7] => 100101010 => [1,2,1,1,1,1,1,1] => 4004
[9,1,2,8,4,7,6,5,3,10] => 100101110 => [1,2,1,1,3,1] => 2279
[10,1,9,3,2,5,8,7,4,6] => 101100110 => [1,1,2,2,2,1] => 3164
[10,1,9,3,2,8,5,6,4,7] => 101101010 => [1,1,2,1,1,1,1,1] => 4202
[9,1,8,3,2,7,6,4,5,10] => 101101100 => [1,1,2,1,2,2] => 2661
[8,1,2,3,10,9,5,7,6,4] => 100011011 => [1,3,2,1,2] => 1794
[8,1,2,10,3,9,4,7,6,5] => 100101011 => [1,2,1,1,1,1,2] => 2838
[7,1,2,10,9,4,6,3,5,8] => 100110100 => [1,2,2,1,1,2] => 2558
[8,1,10,2,4,9,3,7,6,5] => 101001011 => [1,1,1,2,1,1,2] => 3040
[7,1,10,2,9,3,6,4,5,8] => 101010100 => [1,1,1,1,1,1,1,2] => 3432
[10,1,2,3,9,8,5,6,7,4] => 100011001 => [1,3,2,2,1] => 2109
[10,1,2,9,3,8,4,6,7,5] => 100101001 => [1,2,1,1,1,2,1] => 3314
[10,1,2,9,8,4,3,5,6,7] => 100111000 => [1,2,3,3] => 1224
[9,1,2,8,7,4,5,6,3,10] => 100110010 => [1,2,2,2,1,1] => 3164
[10,1,9,2,4,8,3,6,7,5] => 101001001 => [1,1,1,2,1,2,1] => 3556
[10,1,9,2,8,3,4,5,6,7] => 101010000 => [1,1,1,1,1,4] => 1001
[9,1,8,2,7,3,5,6,4,10] => 101010010 => [1,1,1,1,1,2,1,1] => 4202
[10,1,9,8,3,2,6,4,5,7] => 101110100 => [1,1,3,1,1,2] => 2172
[9,1,8,7,3,2,4,5,6,10] => 101110000 => [1,1,3,4] => 721
[8,10,1,3,4,9,2,7,6,5] => 010001011 => [1,1,3,1,1,2] => 2172
[7,10,1,3,9,2,6,4,5,8] => 010010100 => [1,1,2,1,1,1,2] => 2982
[10,9,1,3,4,8,2,6,7,5] => 110001001 => [2,3,1,2,1] => 1902
[10,9,1,3,8,2,4,5,6,7] => 110010000 => [2,2,1,4] => 666
[9,8,1,3,7,2,5,6,4,10] => 110010010 => [2,2,1,2,1,1] => 2661
[10,9,1,8,2,3,6,4,5,7] => 110100100 => [2,1,1,2,1,2] => 2179
[9,8,1,7,2,3,4,5,6,10] => 110100000 => [2,1,1,5] => 319
[6,3,1,8,5,4,7,2] => 1101101 => [2,1,2,1,1] => 252
[6,1,3,8,7,4,5,2] => 1001101 => [1,2,2,1,1] => 295
[2,8,4,6,5,1,7,3] => 0101101 => [1,1,1,2,1,1] => 359
[7,4,1,3,6,5,2,8] => 1100110 => [2,2,2,1] => 211
[5,7,2,8,1,3,6,4] => 0101001 => [1,1,1,1,2,1] => 345
[6,5,1,4,7,3,2,8] => 1100110 => [2,2,2,1] => 211
[2,7,8,4,1,3,6,5] => 0011001 => [2,2,2,1] => 211
[2,4,6,5,7,8,1,3] => 0010010 => [2,1,2,1,1] => 252
[2,4,6,7,5,8,1,3] => 0001010 => [3,1,1,1,1] => 165
[2,4,6,3,7,8,1,5] => 0010010 => [2,1,2,1,1] => 252
[2,4,5,6,8,7,1,3] => 0000110 => [4,2,1] => 65
[2,4,5,6,8,3,7,1] => 0000101 => [4,1,1,1] => 75
[2,4,5,6,3,8,1,7] => 0001010 => [3,1,1,1,1] => 165
[2,3,4,6,8,5,1,7] => 0000110 => [4,2,1] => 65
[5,2,8,3,4,1,6,7] => 1010100 => [1,1,1,1,1,2] => 297
[3,6,4,1,2,7,8,5] => 0110001 => [1,2,3,1] => 185
[4,1,7,3,8,6,2,5] => 1010110 => [1,1,1,1,2,1] => 345
[8,4,1,2,5,3,7,6] => 1100101 => [2,2,1,1,1] => 255
[1,5,2,7,6,8,4,3] => 0101011 => [1,1,1,1,1,2] => 297
[4,7,6,8,3,1,2,5] => 0101100 => [1,1,1,2,2] => 255
[4,8,2,7,6,5,1,3] => 0101110 => [1,1,1,3,1] => 219
[7,4,2,8,6,5,1,3] => 1101110 => [2,1,3,1] => 157
[8,6,5,2,7,1,4,3] => 1110101 => [3,1,1,1,1] => 165
[6,5,8,2,7,1,4,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,5,8,2,1,6,4,3] => 1011011 => [1,1,2,1,2] => 252
[3,2,1,6,5,8,4,7] => 1101010 => [2,1,1,1,1,1] => 297
[2,6,4,8,5,7,3,1] => 0101011 => [1,1,1,1,1,2] => 297
[6,3,1,4,5,8,2,7] => 1100010 => [2,3,1,1] => 171
[3,4,8,5,2,1,7,6] => 0011101 => [2,3,1,1] => 171
[4,8,7,1,3,2,6,5] => 0110101 => [1,2,1,1,1,1] => 345
[5,8,7,4,6,1,3,2] => 0110101 => [1,2,1,1,1,1] => 345
[3,4,1,8,7,6,2,5] => 0101110 => [1,1,1,3,1] => 219
[1,3,5,6,8,7,2,4] => 0000110 => [4,2,1] => 65
[2,8,7,5,4,1,6,3] => 0111101 => [1,4,1,1] => 107
[8,1,5,7,4,2,6,3] => 1001101 => [1,2,2,1,1] => 295
[5,8,7,3,4,1,6,2] => 0110101 => [1,2,1,1,1,1] => 345
[4,6,1,3,2,8,5,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,6,5,8,3,1,4,7] => 0101100 => [1,1,1,2,2] => 255
[6,7,8,2,4,5,3,1] => 0010011 => [2,1,2,2] => 180
[3,2,8,4,5,7,1,6] => 1010010 => [1,1,1,2,1,1] => 359
[6,1,8,2,4,5,3,7] => 1010010 => [1,1,1,2,1,1] => 359
[8,3,6,4,2,7,1,5] => 1011010 => [1,1,2,1,1,1] => 359
[1,3,8,4,7,6,2,5] => 0010110 => [2,1,1,2,1] => 241
[8,3,7,5,4,1,2,6] => 1011100 => [1,1,3,2] => 171
[2,6,4,7,8,5,1,3] => 0100110 => [1,1,2,2,1] => 295
[5,4,3,7,6,1,8,2] => 1101101 => [2,1,2,1,1] => 252
[8,6,3,7,1,4,2,5] => 1101010 => [2,1,1,1,1,1] => 297
[3,1,2,8,7,6,4,5] => 1001110 => [1,2,3,1] => 185
[8,5,4,1,2,3,7,6] => 1110001 => [3,3,1] => 95
[8,3,2,1,6,4,7,5] => 1110101 => [3,1,1,1,1] => 165
[2,3,8,4,1,7,5,6] => 0011010 => [2,2,1,1,1] => 255
[4,6,1,3,2,7,8,5] => 0101001 => [1,1,1,1,2,1] => 345
[6,7,2,5,8,4,1,3] => 0100110 => [1,1,2,2,1] => 295
[4,1,7,8,2,5,6,3] => 1001001 => [1,2,1,2,1] => 281
[3,4,6,7,1,5,8,2] => 0001001 => [3,1,2,1] => 137
[3,4,5,7,8,1,6,2] => 0000101 => [4,1,1,1] => 75
[1,8,7,4,3,5,2,6] => 0111010 => [1,3,1,1,1] => 219
[2,4,5,8,1,3,7,6] => 0001001 => [3,1,2,1] => 137
[2,7,8,6,5,3,1,4] => 0011110 => [2,4,1] => 81
[6,3,1,5,8,4,2,7] => 1100110 => [2,2,2,1] => 211
[2,8,3,5,6,1,4,7] => 0100100 => [1,1,2,1,2] => 252
[1,3,6,4,2,7,5,8] => 0011010 => [2,2,1,1,1] => 255
[2,3,7,5,8,1,4,6] => 0010100 => [2,1,1,1,2] => 207
[3,2,8,5,6,1,4,7] => 1010100 => [1,1,1,1,1,2] => 297
[7,2,5,8,1,4,6,3] => 1001001 => [1,2,1,2,1] => 281
[4,7,5,8,1,2,6,3] => 0101001 => [1,1,1,1,2,1] => 345
[4,7,5,8,1,2,3,6] => 0101000 => [1,1,1,1,3] => 165
[3,4,7,5,2,8,1,6] => 0011010 => [2,2,1,1,1] => 255
[4,3,2,5,7,8,1,6] => 1100010 => [2,3,1,1] => 171
[2,4,7,5,8,3,1,6] => 0010110 => [2,1,1,2,1] => 241
[2,5,4,7,3,8,1,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,7,8,4,2,1,6,5] => 0011101 => [2,3,1,1] => 171
[5,6,7,9,1,2,3,4,8] => 00010000 => [3,1,4] => 125
[4,5,6,7,9,1,2,3,8] => 00001000 => [4,1,3] => 125
[7,8,10,1,2,3,4,5,6,9] => 001000000 => [2,1,6] => 119
[4,5,6,7,8,10,1,2,3,9] => 000001000 => [5,1,3] => 209
[8,5,4,7,6,3,1,2] => 1101110 => [2,1,3,1] => 157
[1,5,4,8,7,6,2,3] => 0101110 => [1,1,1,3,1] => 219
[3,2,4,5,8,1,6,7] => 1000100 => [1,3,1,2] => 157
[3,6,8,4,2,7,1,5] => 0011010 => [2,2,1,1,1] => 255
[1,4,7,6,3,8,2,5] => 0011010 => [2,2,1,1,1] => 255
[3,6,5,1,7,2,8,4] => 0110101 => [1,2,1,1,1,1] => 345
[7,4,1,6,2,8,5,3] => 1101011 => [2,1,1,1,2] => 207
[1,3,6,8,2,4,7,5] => 0001001 => [3,1,2,1] => 137
[1,6,7,4,3,8,2,5] => 0011010 => [2,2,1,1,1] => 255
[7,3,1,6,5,2,8,4] => 1101101 => [2,1,2,1,1] => 252
[8,5,4,1,6,2,7,3] => 1110101 => [3,1,1,1,1] => 165
[4,7,2,8,5,1,6,3] => 0101101 => [1,1,1,2,1,1] => 359
[7,8,6,2,1,5,4,3] => 0111011 => [1,3,1,2] => 157
[8,6,2,7,3,5,1,4] => 1101010 => [2,1,1,1,1,1] => 297
[2,1,3,8,7,5,6,4] => 1001101 => [1,2,2,1,1] => 295
[8,1,7,3,6,5,2,4] => 1010110 => [1,1,1,1,2,1] => 345
[1,6,5,7,4,8,3,9,2] => 01010101 => [1,1,1,1,1,1,1,1] => 1430
[5,4,6,3,8,2,7,1,9] => 10101010 => [1,1,1,1,1,1,1,1] => 1430
[1,6,7,5,8,4,9,3,10,2] => 001010101 => [2,1,1,1,1,1,1,1] => 3432
[1,6,4,7,3,8,5,2] => 0101011 => [1,1,1,1,1,2] => 297
[1,2,3,4,5,6,8,10,7,9] => 000000010 => [7,1,1] => 44
[3,4,5,6,7,8,2,1,9] => 00000110 => [5,2,1] => 98
[3,4,5,6,7,2,1,8,9] => 00001100 => [4,2,2] => 185
[4,5,6,7,8,1,2,3,9] => 00001000 => [4,1,3] => 125
[4,8,1,6,3,7,2,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[8,5,4,1,6,3,7,2] => 1110101 => [3,1,1,1,1] => 165
[1,7,6,2,4,8,5,3] => 0110011 => [1,2,2,2] => 211
[5,7,3,2,4,8,6,1] => 0110011 => [1,2,2,2] => 211
[2,8,4,6,3,5,1,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,7,8,3,6,4,5,1] => 0010101 => [2,1,1,1,1,1] => 297
[3,8,1,4,6,5,2,7] => 0100110 => [1,1,2,2,1] => 295
[2,7,5,4,1,8,3,6] => 0111010 => [1,3,1,1,1] => 219
[4,6,1,8,5,3,2,7] => 0101110 => [1,1,1,3,1] => 219
[3,8,5,2,1,6,4,7] => 0111010 => [1,3,1,1,1] => 219
[5,1,4,8,2,6,3,7] => 1001010 => [1,2,1,1,1,1] => 345
[4,5,8,1,3,7,6,2] => 0010011 => [2,1,2,2] => 180
[8,6,7,1,4,3,2,5] => 1010110 => [1,1,1,1,2,1] => 345
[1,4,7,8,6,3,5,2] => 0001101 => [3,2,1,1] => 145
[8,5,2,6,3,4,7,1] => 1101001 => [2,1,1,2,1] => 241
[8,3,6,1,2,7,4,5] => 1010010 => [1,1,1,2,1,1] => 359
[3,8,6,1,2,5,7,4] => 0110001 => [1,2,3,1] => 185
[3,7,6,2,1,8,5,4] => 0111011 => [1,3,1,2] => 157
[4,3,7,6,1,8,5,2] => 1011011 => [1,1,2,1,2] => 252
[8,6,3,2,7,1,5,4] => 1110101 => [3,1,1,1,1] => 165
[6,8,1,5,4,7,2,3] => 0101010 => [1,1,1,1,1,1,1] => 429
[6,7,2,5,4,8,1,3] => 0101010 => [1,1,1,1,1,1,1] => 429
[7,6,2,4,8,5,1,3] => 1100110 => [2,2,2,1] => 211
[4,6,8,7,3,1,2,5] => 0011100 => [2,3,2] => 126
[4,7,5,2,6,3,8,1] => 0110101 => [1,2,1,1,1,1] => 345
[3,5,6,2,8,1,4,7] => 0010100 => [2,1,1,1,2] => 207
[8,9,10,4,5,6,2,3,1,7] => 001001010 => [2,1,2,1,1,1,1] => 3054
[8,9,4,5,6,10,2,3,1,7] => 010001010 => [1,1,3,1,1,1,1] => 3014
[8,9,10,4,5,2,3,6,1,7] => 001010010 => [2,1,1,1,2,1,1] => 2982
[8,9,4,5,10,2,3,6,1,7] => 010010010 => [1,1,2,1,2,1,1] => 3667
[8,9,4,5,2,3,6,10,1,7] => 010100010 => [1,1,1,1,3,1,1] => 3014
[8,4,5,9,10,2,3,6,1,7] => 100010010 => [1,3,1,2,1,1] => 2407
[8,4,5,9,2,3,6,10,1,7] => 100100010 => [1,2,1,3,1,1] => 2548
[8,9,10,4,5,6,2,1,3,7] => 001001100 => [2,1,2,2,2] => 1963
[8,9,4,5,6,10,2,1,3,7] => 010001100 => [1,1,3,2,2] => 1986
[8,9,10,4,5,2,6,1,3,7] => 001010100 => [2,1,1,1,1,1,2] => 2431
[8,9,4,5,10,2,6,1,3,7] => 010010100 => [1,1,2,1,1,1,2] => 2982
[8,9,4,5,2,6,10,1,3,7] => 010100100 => [1,1,1,1,2,1,2] => 3054
[8,4,5,9,10,2,6,1,3,7] => 100010100 => [1,3,1,1,1,2] => 1947
[8,4,5,9,2,6,10,1,3,7] => 100100100 => [1,2,1,2,1,2] => 2550
[8,9,10,4,5,2,1,3,6,7] => 001011000 => [2,1,1,2,3] => 1318
[8,9,4,5,10,2,1,3,6,7] => 010011000 => [1,1,2,2,3] => 1634
[8,9,4,5,2,10,1,3,6,7] => 010101000 => [1,1,1,1,1,1,3] => 2002
[8,9,4,5,2,1,3,6,10,7] => 010110001 => [1,1,1,2,3,1] => 2479
[8,4,5,9,10,2,1,3,6,7] => 100011000 => [1,3,2,3] => 1109
[8,4,5,9,2,10,1,3,6,7] => 100101000 => [1,2,1,1,1,3] => 1672
[8,4,5,9,2,1,3,6,10,7] => 100110001 => [1,2,2,3,1] => 2109
[8,9,10,4,2,5,6,1,3,7] => 001100100 => [2,2,2,1,2] => 1963
[8,9,4,10,2,5,6,1,3,7] => 010100100 => [1,1,1,1,2,1,2] => 3054
[8,9,4,2,5,6,10,1,3,7] => 011000100 => [1,2,3,1,2] => 1942
[8,4,9,10,2,5,6,1,3,7] => 100100100 => [1,2,1,2,1,2] => 2550
[8,4,9,2,5,6,10,1,3,7] => 101000100 => [1,1,1,3,1,2] => 2256
[8,9,10,4,2,5,1,3,6,7] => 001101000 => [2,2,1,1,3] => 1286
[8,9,4,10,2,5,1,3,6,7] => 010101000 => [1,1,1,1,1,1,3] => 2002
[8,9,4,2,5,10,1,3,6,7] => 011001000 => [1,2,2,1,3] => 1532
[8,9,4,2,5,1,3,6,10,7] => 011010001 => [1,2,1,1,3,1] => 2279
[8,4,9,10,2,5,1,3,6,7] => 100101000 => [1,2,1,1,1,3] => 1672
[8,4,9,2,5,1,3,6,10,7] => 101010001 => [1,1,1,1,1,3,1] => 2717
[8,4,2,5,9,10,1,3,6,7] => 110001000 => [2,3,1,3] => 998
[8,4,2,5,9,1,3,6,10,7] => 110010001 => [2,2,1,3,1] => 1761
[4,8,9,10,2,5,6,1,3,7] => 000100100 => [3,1,2,1,2] => 1304
[4,8,9,2,5,6,10,1,3,7] => 001000100 => [2,1,3,1,2] => 1647
[4,8,9,10,2,5,1,3,6,7] => 000101000 => [3,1,1,1,3] => 858
[4,8,9,2,5,10,1,3,6,7] => 001001000 => [2,1,2,1,3] => 1304
[4,8,9,2,5,1,3,6,10,7] => 001010001 => [2,1,1,1,3,1] => 1947
[4,8,2,5,9,10,1,3,6,7] => 010001000 => [1,1,3,1,3] => 1330
[4,8,2,5,9,1,3,6,10,7] => 010010001 => [1,1,2,1,3,1] => 2407
[5,1,2,4,3,7,6,8] => 1001010 => [1,2,1,1,1,1] => 345
[6,1,8,2,4,3,5,7] => 1010100 => [1,1,1,1,1,2] => 297
[1,6,8,2,5,3,4,7] => 0010100 => [2,1,1,1,2] => 207
[8,7,6,2,4,5,1,3] => 1110010 => [3,2,1,1] => 145
[8,7,6,2,4,5,3,1] => 1110011 => [3,2,2] => 105
[5,4,8,7,1,2,6,3] => 1011001 => [1,1,2,2,1] => 295
[2,5,6,4,3,8,1,7] => 0011010 => [2,2,1,1,1] => 255
[8,7,3,5,1,4,6,2] => 1101001 => [2,1,1,2,1] => 241
[8,6,3,5,2,1,4,7] => 1101100 => [2,1,2,2] => 180
[8,7,3,5,2,4,6,1] => 1101001 => [2,1,1,2,1] => 241
[8,4,2,7,6,5,1,3] => 1101110 => [2,1,3,1] => 157
[4,6,3,8,5,2,7,1] => 0101101 => [1,1,1,2,1,1] => 359
[8,7,1,4,5,6,2,3] => 1100010 => [2,3,1,1] => 171
[4,1,3,8,5,6,2,7] => 1001010 => [1,2,1,1,1,1] => 345
[5,2,8,3,1,6,7,4] => 1011001 => [1,1,2,2,1] => 295
[1,7,8,6,3,2,5,4] => 0011101 => [2,3,1,1] => 171
[3,7,2,4,5,6,1,8] => 0100010 => [1,1,3,1,1] => 233
[3,2,8,1,5,7,4,6] => 1010010 => [1,1,1,2,1,1] => 359
[3,4,6,7,2,1,5,8] => 0001100 => [3,2,2] => 105
[2,6,7,1,4,3,8,5] => 0010101 => [2,1,1,1,1,1] => 297
[3,2,7,4,8,5,6,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,3,8,5,4,2,7,1] => 1011101 => [1,1,3,1,1] => 233
[7,4,6,1,3,5,2,8] => 1010010 => [1,1,1,2,1,1] => 359
[1,5,3,8,7,4,6,2] => 0101101 => [1,1,1,2,1,1] => 359
[5,1,3,8,7,4,6,2] => 1001101 => [1,2,2,1,1] => 295
[2,5,3,8,7,4,1,6] => 0101110 => [1,1,1,3,1] => 219
[6,8,3,5,1,2,7,4] => 0101001 => [1,1,1,1,2,1] => 345
[5,8,2,7,4,6,3,1] => 0101011 => [1,1,1,1,1,2] => 297
[4,5,2,8,3,7,1,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[7,8,5,1,6,4,3,2] => 0110111 => [1,2,1,3] => 137
[8,7,5,1,6,4,3,2] => 1110111 => [3,1,3] => 69
[4,5,8,3,1,2,7,6] => 0011001 => [2,2,2,1] => 211
[4,6,8,3,2,1,7,5] => 0011101 => [2,3,1,1] => 171
[4,6,8,3,5,1,2,7] => 0010100 => [2,1,1,1,2] => 207
[1,4,6,3,7,5,2,8] => 0010110 => [2,1,1,2,1] => 241
[4,5,2,6,8,7,3,1] => 0100111 => [1,1,2,3] => 145
[1,3,8,7,4,5,6,2] => 0011001 => [2,2,2,1] => 211
[7,3,1,8,4,5,6,2] => 1101001 => [2,1,1,2,1] => 241
[3,2,8,7,4,5,6,1] => 1011001 => [1,1,2,2,1] => 295
[6,2,4,3,7,5,8,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,4,2,5,1,7,8,3] => 1101001 => [2,1,1,2,1] => 241
[3,8,2,1,5,7,6,4] => 0110011 => [1,2,2,2] => 211
[1,3,2,8,7,4,6,5] => 0101101 => [1,1,1,2,1,1] => 359
[7,5,2,8,3,1,6,4] => 1101101 => [2,1,2,1,1] => 252
[5,4,2,7,3,8,6,1] => 1101011 => [2,1,1,1,2] => 207
[4,6,3,7,8,1,2,5] => 0100100 => [1,1,2,1,2] => 252
[8,3,5,4,7,1,2,6] => 1010100 => [1,1,1,1,1,2] => 297
[6,2,5,4,1,7,8,3] => 1011001 => [1,1,2,2,1] => 295
[4,1,5,6,3,8,7,2] => 1001011 => [1,2,1,1,2] => 241
[8,5,1,6,3,2,4,7] => 1101100 => [2,1,2,2] => 180
[6,8,7,4,3,2,5,1] => 0111101 => [1,4,1,1] => 107
[2,8,5,1,3,7,6,4] => 0110011 => [1,2,2,2] => 211
[5,6,4,1,8,2,7,3] => 0110101 => [1,2,1,1,1,1] => 345
[6,4,5,1,3,8,7,2] => 1010011 => [1,1,1,2,2] => 255
[6,1,3,5,4,8,2,7] => 1001010 => [1,2,1,1,1,1] => 345
[1,3,8,7,2,5,6,4] => 0011001 => [2,2,2,1] => 211
[2,5,4,1,8,3,7,6] => 0110101 => [1,2,1,1,1,1] => 345
[5,1,4,8,3,7,6,2] => 1001011 => [1,2,1,1,2] => 241
[8,4,1,2,7,6,5,3] => 1100111 => [2,2,3] => 105
[4,8,3,2,7,6,5,1] => 0110111 => [1,2,1,3] => 137
[1,8,7,3,4,6,5,2] => 0110011 => [1,2,2,2] => 211
[4,3,1,2,6,5,8,7,9] => 11001010 => [2,2,1,1,1,1] => 875
[6,5,3,1,2,4,8,7,9] => 11100010 => [3,3,1,1] => 376
[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] => 196
[5,3,1,2,4,7,6,9,8] => 11000101 => [2,3,1,1,1] => 623
[4,1,2,6,5,3,8,7,9] => 10011010 => [1,2,2,1,1,1] => 1026
[6,5,3,1,2,4,8,7,10,9] => 111000101 => [3,3,1,1,1] => 1414
[6,3,1,2,4,8,7,5,9] => 11000110 => [2,3,2,1] => 533
[8,7,5,3,1,2,4,6,10,9] => 111100001 => [4,4,1] => 406
[8,5,3,1,2,4,6,9,7] => 11100001 => [3,4,1] => 196
[10,9,7,5,3,1,2,4,6,8] => 111110000 => [5,4] => 126
[5,3,1,2,4,6,8,7] => 1100001 => [2,4,1] => 81
[8,5,7,3,1,2,4,6] => 1011000 => [1,1,2,3] => 145
[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] => 185
[5,3,1,2,4,9,7,6,8] => 11000110 => [2,3,2,1] => 533
[7,5,3,1,2,4,6,9,8,10] => 111000010 => [3,4,1,1] => 854
[3,1,2,7,5,4,6,9,8] => 10011001 => [1,2,2,2,1] => 858
[5,3,1,2,4,7,6,9,8,10] => 110001010 => [2,3,1,1,1,1] => 2244
[1,5,3,2,4,7,6,9,8] => 01100101 => [1,2,2,1,1,1] => 1026
[1,4,3,8,5,7,2,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[6,7,1,5,2,8,4,3] => 0101011 => [1,1,1,1,1,2] => 297
[1,5,3,7,6,4,8,2] => 0101101 => [1,1,1,2,1,1] => 359
[4,8,1,3,6,2,7,5] => 0100101 => [1,1,2,1,1,1] => 359
[2,7,3,4,8,6,5,1] => 0100111 => [1,1,2,3] => 145
[1,8,2,4,7,3,6,5] => 0100101 => [1,1,2,1,1,1] => 359
[6,2,3,8,1,5,7,4] => 1001001 => [1,2,1,2,1] => 281
[2,5,7,4,8,3,6,1] => 0010101 => [2,1,1,1,1,1] => 297
[8,5,6,2,4,7,1,3] => 1010010 => [1,1,1,2,1,1] => 359
[4,8,5,6,7,1,3,2] => 0100101 => [1,1,2,1,1,1] => 359
[8,1,5,7,3,6,4,2] => 1001011 => [1,2,1,1,2] => 241
[2,7,6,4,3,8,5,1] => 0111011 => [1,3,1,2] => 157
[3,8,6,2,7,5,4,1] => 0110111 => [1,2,1,3] => 137
[4,8,1,6,2,5,3,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,8,4,2,5,7,3,6] => 0110010 => [1,2,2,1,1] => 295
[5,8,3,1,2,4,6,7] => 0110000 => [1,2,4] => 65
[1,4,8,5,2,3,6,7] => 0011000 => [2,2,3] => 105
[1,4,8,5,2,3,7,6] => 0011001 => [2,2,2,1] => 211
[1,5,8,7,2,4,3,6] => 0011010 => [2,2,1,1,1] => 255
[1,5,4,2,8,3,7,6] => 0110101 => [1,2,1,1,1,1] => 345
[1,2,8,7,3,5,4,6] => 0011010 => [2,2,1,1,1] => 255
[8,7,1,3,2,5,4,6] => 1101010 => [2,1,1,1,1,1] => 297
[6,7,4,2,8,1,3,5] => 0110100 => [1,2,1,1,2] => 241
[4,1,6,8,7,2,3,5] => 1001100 => [1,2,2,2] => 211
[4,7,5,6,2,8,3,1] => 0101011 => [1,1,1,1,1,2] => 297
[8,4,3,6,7,5,2,1] => 1100111 => [2,2,3] => 105
[6,7,5,2,8,4,3,1] => 0110111 => [1,2,1,3] => 137
[6,8,4,3,2,7,5,1] => 0111011 => [1,3,1,2] => 157
[2,1,4,3,6,5,9,7,10,8] => 101010101 => [1,1,1,1,1,1,1,1,1] => 4862
[2,1,4,3,7,5,8,6,10,9] => 101010101 => [1,1,1,1,1,1,1,1,1] => 4862
[2,1,4,3,7,5,9,6,10,8] => 101010101 => [1,1,1,1,1,1,1,1,1] => 4862
[2,1,4,3,8,5,9,6,10,7] => 101010101 => [1,1,1,1,1,1,1,1,1] => 4862
[2,1,5,3,6,4,8,7,10,9] => 101010101 => [1,1,1,1,1,1,1,1,1] => 4862
[2,1,5,3,6,4,9,7,10,8] => 101010101 => [1,1,1,1,1,1,1,1,1] => 4862
[2,1,5,3,7,4,8,6,10,9] => 101010101 => [1,1,1,1,1,1,1,1,1] => 4862
[2,1,5,3,7,4,9,6,10,8] => 101010101 => [1,1,1,1,1,1,1,1,1] => 4862
[2,1,5,3,8,4,9,6,10,7] => 101010101 => [1,1,1,1,1,1,1,1,1] => 4862
[2,1,6,3,7,4,8,5,10,9] => 101010101 => [1,1,1,1,1,1,1,1,1] => 4862
[2,1,6,3,7,4,9,5,10,8] => 101010101 => [1,1,1,1,1,1,1,1,1] => 4862
[2,1,6,3,8,4,9,5,10,7] => 101010101 => [1,1,1,1,1,1,1,1,1] => 4862
[2,1,7,3,8,4,9,5,10,6] => 101010101 => [1,1,1,1,1,1,1,1,1] => 4862
[3,1,4,2,6,5,9,7,10,8] => 101010101 => [1,1,1,1,1,1,1,1,1] => 4862
[3,1,4,2,7,5,8,6,10,9] => 101010101 => [1,1,1,1,1,1,1,1,1] => 4862
[3,1,4,2,7,5,9,6,10,8] => 101010101 => [1,1,1,1,1,1,1,1,1] => 4862
[3,1,4,2,8,5,9,6,10,7] => 101010101 => [1,1,1,1,1,1,1,1,1] => 4862
[3,1,5,2,6,4,9,7,10,8] => 101010101 => [1,1,1,1,1,1,1,1,1] => 4862
[3,1,5,2,8,4,9,6,10,7] => 101010101 => [1,1,1,1,1,1,1,1,1] => 4862
[3,1,6,2,7,4,8,5,10,9] => 101010101 => [1,1,1,1,1,1,1,1,1] => 4862
[3,1,6,2,7,4,9,5,10,8] => 101010101 => [1,1,1,1,1,1,1,1,1] => 4862
[3,1,6,2,8,4,9,5,10,7] => 101010101 => [1,1,1,1,1,1,1,1,1] => 4862
[3,1,7,2,8,4,9,5,10,6] => 101010101 => [1,1,1,1,1,1,1,1,1] => 4862
[4,1,5,2,6,3,9,7,10,8] => 101010101 => [1,1,1,1,1,1,1,1,1] => 4862
[4,1,5,2,7,3,8,6,10,9] => 101010101 => [1,1,1,1,1,1,1,1,1] => 4862
[4,1,5,2,7,3,9,6,10,8] => 101010101 => [1,1,1,1,1,1,1,1,1] => 4862
[4,1,5,2,8,3,9,6,10,7] => 101010101 => [1,1,1,1,1,1,1,1,1] => 4862
[4,1,6,2,7,3,8,5,10,9] => 101010101 => [1,1,1,1,1,1,1,1,1] => 4862
[4,1,6,2,7,3,9,5,10,8] => 101010101 => [1,1,1,1,1,1,1,1,1] => 4862
[4,1,6,2,8,3,9,5,10,7] => 101010101 => [1,1,1,1,1,1,1,1,1] => 4862
[4,1,7,2,8,3,9,5,10,6] => 101010101 => [1,1,1,1,1,1,1,1,1] => 4862
[5,1,6,2,7,3,9,4,10,8] => 101010101 => [1,1,1,1,1,1,1,1,1] => 4862
[5,1,6,2,8,3,9,4,10,7] => 101010101 => [1,1,1,1,1,1,1,1,1] => 4862
[5,1,7,2,8,3,9,4,10,6] => 101010101 => [1,1,1,1,1,1,1,1,1] => 4862
[2,9,8,7,6,5,1,4,3] => 01111101 => [1,5,1,1] => 170
[2,10,9,8,7,6,5,1,4,3] => 011111101 => [1,6,1,1] => 254
[6,1,7,3,5,8,2,4] => 1010010 => [1,1,1,2,1,1] => 359
[1,3,7,6,4,8,2,5] => 0011010 => [2,2,1,1,1] => 255
[2,6,4,8,7,3,1,5] => 0101110 => [1,1,1,3,1] => 219
[2,1,8,7,3,5,4,6] => 1011010 => [1,1,2,1,1,1] => 359
[6,1,5,8,7,4,3,2] => 1001111 => [1,2,4] => 65
[6,1,8,5,7,4,3,2] => 1010111 => [1,1,1,1,3] => 165
[8,5,1,4,7,6,3,2] => 1100111 => [2,2,3] => 105
[8,1,3,7,2,4,6,5] => 1001001 => [1,2,1,2,1] => 281
[2,6,7,3,5,8,4,1] => 0010011 => [2,1,2,2] => 180
[2,6,7,3,5,8,1,4] => 0010010 => [2,1,2,1,1] => 252
[5,3,1,6,4,8,2,7] => 1101010 => [2,1,1,1,1,1] => 297
[2,5,6,7,1,4,8,3] => 0001001 => [3,1,2,1] => 137
[4,7,5,3,2,8,1,6] => 0111010 => [1,3,1,1,1] => 219
[4,7,5,2,8,6,1,3] => 0110110 => [1,2,1,2,1] => 281
[5,8,1,2,7,4,3,6] => 0100110 => [1,1,2,2,1] => 295
[6,3,1,8,2,4,5,7] => 1101000 => [2,1,1,3] => 117
[4,6,3,7,8,1,5,2] => 0100101 => [1,1,2,1,1,1] => 359
[6,3,1,8,4,5,2,7] => 1101010 => [2,1,1,1,1,1] => 297
[2,1,4,7,5,8,6,3] => 1001011 => [1,2,1,1,2] => 241
[7,6,2,4,8,3,1,5] => 1100110 => [2,2,2,1] => 211
[6,5,8,1,4,3,7,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,1,4,2,7,5,6,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[9,3,4,5,6,7,1,2,10,8] => 100001001 => [1,4,1,2,1] => 1315
[1,7,2,8,3,9,4,10,5,6] => 010101010 => [1,1,1,1,1,1,1,1,1] => 4862
[1,7,2,8,3,9,10,4,5,6] => 010100100 => [1,1,1,1,2,1,2] => 3054
[1,7,2,8,9,3,4,10,5,6] => 010010010 => [1,1,2,1,2,1,1] => 3667
[1,7,2,8,9,3,10,4,5,6] => 010010100 => [1,1,2,1,1,1,2] => 2982
[1,7,2,8,9,10,3,4,5,6] => 010001000 => [1,1,3,1,3] => 1330
[1,7,8,2,3,9,4,10,5,6] => 001001010 => [2,1,2,1,1,1,1] => 3054
[1,7,8,2,3,9,10,4,5,6] => 001000100 => [2,1,3,1,2] => 1647
[1,7,8,2,9,3,4,10,5,6] => 001010010 => [2,1,1,1,2,1,1] => 2982
[1,7,8,2,9,3,10,4,5,6] => 001010100 => [2,1,1,1,1,1,2] => 2431
[1,7,8,2,9,10,3,4,5,6] => 001001000 => [2,1,2,1,3] => 1304
[1,7,8,9,2,3,4,10,5,6] => 000100010 => [3,1,3,1,1] => 1330
[1,7,8,9,2,3,10,4,5,6] => 000100100 => [3,1,2,1,2] => 1304
[1,7,8,9,2,10,3,4,5,6] => 000101000 => [3,1,1,1,3] => 858
[7,1,2,8,3,9,4,10,5,6] => 100101010 => [1,2,1,1,1,1,1,1] => 4004
[7,1,2,8,3,9,10,4,5,6] => 100100100 => [1,2,1,2,1,2] => 2550
[7,1,2,8,9,3,4,10,5,6] => 100010010 => [1,3,1,2,1,1] => 2407
[7,1,2,8,9,3,10,4,5,6] => 100010100 => [1,3,1,1,1,2] => 1947
[7,1,2,8,9,10,3,4,5,6] => 100001000 => [1,4,1,3] => 709
[7,1,8,2,3,9,4,10,5,6] => 101001010 => [1,1,1,2,1,1,1,1] => 4274
[7,1,8,2,3,9,10,4,5,6] => 101000100 => [1,1,1,3,1,2] => 2256
[7,1,8,2,9,3,4,10,5,6] => 101010010 => [1,1,1,1,1,2,1,1] => 4202
[7,1,8,2,9,10,3,4,5,6] => 101001000 => [1,1,1,2,1,3] => 1806
[7,1,8,9,2,3,4,10,5,6] => 100100010 => [1,2,1,3,1,1] => 2548
[7,1,8,9,2,3,10,4,5,6] => 100100100 => [1,2,1,2,1,2] => 2550
[7,1,8,9,2,10,3,4,5,6] => 100101000 => [1,2,1,1,1,3] => 1672
[7,1,8,9,10,2,3,4,5,6] => 100010000 => [1,3,1,4] => 626
[7,8,1,2,3,9,4,10,5,6] => 010001010 => [1,1,3,1,1,1,1] => 3014
[7,8,1,2,3,9,10,4,5,6] => 010000100 => [1,1,4,1,2] => 1304
[7,8,1,2,9,3,4,10,5,6] => 010010010 => [1,1,2,1,2,1,1] => 3667
[7,8,1,2,9,3,10,4,5,6] => 010010100 => [1,1,2,1,1,1,2] => 2982
[7,8,1,2,9,10,3,4,5,6] => 010001000 => [1,1,3,1,3] => 1330
[7,8,1,9,2,3,4,10,5,6] => 010100010 => [1,1,1,1,3,1,1] => 3014
[7,8,1,9,2,3,10,4,5,6] => 010100100 => [1,1,1,1,2,1,2] => 3054
[7,8,1,9,2,10,3,4,5,6] => 010101000 => [1,1,1,1,1,1,3] => 2002
[7,8,1,9,10,2,3,4,5,6] => 010010000 => [1,1,2,1,4] => 901
[7,8,9,1,2,3,4,10,5,6] => 001000010 => [2,1,4,1,1] => 1304
[7,8,9,1,2,3,10,4,5,6] => 001000100 => [2,1,3,1,2] => 1647
[7,8,9,1,2,10,3,4,5,6] => 001001000 => [2,1,2,1,3] => 1304
[7,8,9,1,10,2,3,4,5,6] => 001010000 => [2,1,1,1,4] => 726
[8,6,3,5,2,1,7,4] => 1101101 => [2,1,2,1,1] => 252
[6,8,3,1,2,5,4,7] => 0110010 => [1,2,2,1,1] => 295
[5,8,6,4,7,1,2,3] => 0110100 => [1,2,1,1,2] => 241
[2,5,1,8,7,3,4,6] => 0101100 => [1,1,1,2,2] => 255
[7,2,4,3,8,6,1,5] => 1010110 => [1,1,1,1,2,1] => 345
[1,7,6,5,4,3,2,9,8] => 01111101 => [1,5,1,1] => 170
[6,8,4,3,5,1,7,2] => 0110101 => [1,2,1,1,1,1] => 345
[1,4,7,3,6,8,2,5] => 0010010 => [2,1,2,1,1] => 252
[3,7,1,4,6,8,2,5] => 0100010 => [1,1,3,1,1] => 233
[2,4,7,3,6,8,1,5] => 0010010 => [2,1,2,1,1] => 252
[8,5,7,6,1,3,2,4] => 1011010 => [1,1,2,1,1,1] => 359
[2,7,5,6,1,8,4,3] => 0101011 => [1,1,1,1,1,2] => 297
[1,2,6,7,4,5,8,3] => 0001001 => [3,1,2,1] => 137
[6,5,2,8,7,1,4,3] => 1101101 => [2,1,2,1,1] => 252
[7,2,3,6,8,1,4,5] => 1000100 => [1,3,1,2] => 157
[2,6,1,3,8,5,4,7] => 0100110 => [1,1,2,2,1] => 295
[6,4,1,8,3,2,5,7] => 1101100 => [2,1,2,2] => 180
[5,8,1,4,2,7,3,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,3,1,6,8,7,4,5] => 0100110 => [1,1,2,2,1] => 295
[6,4,8,2,1,7,3,5] => 1011010 => [1,1,2,1,1,1] => 359
[2,3,1,8,7,5,6,4] => 0101101 => [1,1,1,2,1,1] => 359
[1,5,6,7,2,4,3,8] => 0001010 => [3,1,1,1,1] => 165
[2,8,6,4,1,5,3,7] => 0111010 => [1,3,1,1,1] => 219
[1,5,7,3,6,2,4,8] => 0010100 => [2,1,1,1,2] => 207
[6,7,4,5,1,3,8,2] => 0101001 => [1,1,1,1,2,1] => 345
[1,6,5,3,8,2,4,7] => 0110100 => [1,2,1,1,2] => 241
[5,6,1,2,4,8,3,7] => 0100010 => [1,1,3,1,1] => 233
[8,7,4,5,1,3,2,6] => 1101010 => [2,1,1,1,1,1] => 297
[8,5,1,2,7,4,3,6] => 1100110 => [2,2,2,1] => 211
[4,1,8,7,2,5,3,6] => 1011010 => [1,1,2,1,1,1] => 359
[2,6,3,8,4,1,7,5] => 0101101 => [1,1,1,2,1,1] => 359
[3,2,4,6,1,8,7,5] => 1001011 => [1,2,1,1,2] => 241
[3,6,7,4,1,2,5,8] => 0011000 => [2,2,3] => 105
[1,4,7,5,8,2,3,6] => 0010100 => [2,1,1,1,2] => 207
[1,6,8,4,7,3,2,5] => 0010110 => [2,1,1,2,1] => 241
[3,6,7,5,4,8,1,2] => 0011010 => [2,2,1,1,1] => 255
[4,5,7,2,6,3,8,1] => 0010101 => [2,1,1,1,1,1] => 297
[2,1,5,7,4,6,8,3] => 1001001 => [1,2,1,2,1] => 281
[2,3,5,7,8,1,6,4] => 0000101 => [4,1,1,1] => 75
[1,5,7,4,2,3,6,8] => 0011000 => [2,2,3] => 105
[2,4,7,5,3,6,8,1] => 0011001 => [2,2,2,1] => 211
[8,1,7,2,4,6,3,5] => 1010010 => [1,1,1,2,1,1] => 359
[1,2,4,7,8,6,3,5] => 0000110 => [4,2,1] => 65
[1,3,6,2,5,8,4,7] => 0010010 => [2,1,2,1,1] => 252
[1,5,3,6,8,2,4,7] => 0100100 => [1,1,2,1,2] => 252
[4,8,1,2,6,3,7,5] => 0100101 => [1,1,2,1,1,1] => 359
[5,8,1,2,6,3,7,4] => 0100101 => [1,1,2,1,1,1] => 359
[1,6,2,3,7,5,8,4] => 0100101 => [1,1,2,1,1,1] => 359
[4,1,2,6,5,7,8,3] => 1001001 => [1,2,1,2,1] => 281
[1,8,4,2,7,3,6,5] => 0110101 => [1,2,1,1,1,1] => 345
[1,7,5,2,3,8,6,4] => 0110011 => [1,2,2,2] => 211
[8,1,4,7,3,5,2,6] => 1001010 => [1,2,1,1,1,1] => 345
[8,4,3,6,1,7,2,5] => 1101010 => [2,1,1,1,1,1] => 297
[2,6,1,8,3,7,4,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[8,4,2,1,3,7,5,6] => 1110010 => [3,2,1,1] => 145
[2,5,1,7,6,8,3,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,3,1,8,2,4,7,6] => 1101001 => [2,1,1,2,1] => 241
[1,2,6,3,7,5,8,4] => 0010101 => [2,1,1,1,1,1] => 297
[5,1,8,3,2,4,7,6] => 1011001 => [1,1,2,2,1] => 295
[3,1,5,4,6,7,8,2] => 1010001 => [1,1,1,3,1] => 219
[2,8,5,7,3,1,4,6] => 0101100 => [1,1,1,2,2] => 255
[2,6,8,7,3,1,4,5] => 0011100 => [2,3,2] => 126
[7,4,2,1,3,8,5,6] => 1110010 => [3,2,1,1] => 145
[7,2,1,3,8,5,4,6] => 1100110 => [2,2,2,1] => 211
[2,1,7,3,8,6,4,5] => 1010110 => [1,1,1,1,2,1] => 345
[1,7,5,3,2,4,8,6] => 0111001 => [1,3,2,1] => 185
[1,4,2,7,6,5,8,3] => 0101101 => [1,1,1,2,1,1] => 359
[3,4,1,6,5,7,8,2] => 0101001 => [1,1,1,1,2,1] => 345
[2,8,7,3,4,1,5,6] => 0110100 => [1,2,1,1,2] => 241
[5,7,6,2,3,8,1,4] => 0110010 => [1,2,2,1,1] => 295
[4,5,7,6,2,8,1,3] => 0011010 => [2,2,1,1,1] => 255
[3,1,8,7,5,2,6,4] => 1011101 => [1,1,3,1,1] => 233
[4,5,6,8,7,2,1,3] => 0001110 => [3,3,1] => 95
[2,8,3,1,5,4,7,6] => 0110101 => [1,2,1,1,1,1] => 345
[3,8,4,1,5,2,7,6] => 0110101 => [1,2,1,1,1,1] => 345
[5,1,7,8,3,2,6,4] => 1001101 => [1,2,2,1,1] => 295
[1,8,6,2,4,3,7,5] => 0110101 => [1,2,1,1,1,1] => 345
[4,8,3,1,6,2,7,5] => 0110101 => [1,2,1,1,1,1] => 345
[2,8,3,1,6,4,7,5] => 0110101 => [1,2,1,1,1,1] => 345
[6,2,7,1,5,8,4,3] => 1010011 => [1,1,1,2,2] => 255
[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
[1,8,9,10,7,6,5,4,3,2] => 000111111 => [3,6] => 84
[1,7,6,8,9,5,4,3,2] => 01001111 => [1,1,2,4] => 250
[1,7,8,9,10,6,5,4,3,2] => 000011111 => [4,5] => 126
[1,6,5,7,8,9,4,3,2] => 01000111 => [1,1,3,3] => 376
[1,6,7,8,9,10,5,4,3,2] => 000001111 => [5,4] => 126
[1,5,4,6,7,8,9,3,2] => 01000011 => [1,1,4,2] => 343
[1,5,6,7,8,9,10,4,3,2] => 000000111 => [6,3] => 84
[1,4,5,6,7,8,9,10,3,2] => 000000011 => [7,2] => 36
[4,8,5,1,3,2,6,7] => 0110100 => [1,2,1,1,2] => 241
[5,4,3,1,2,7,6,8] => 1110010 => [3,2,1,1] => 145
[4,1,6,5,2,3,7,8] => 1011000 => [1,1,2,3] => 145
[7,1,5,2,3,6,4,8] => 1010010 => [1,1,1,2,1,1] => 359
[4,1,6,3,7,2,5,8] => 1010100 => [1,1,1,1,1,2] => 297
[4,6,1,2,8,3,7,5] => 0100101 => [1,1,2,1,1,1] => 359
[4,1,3,6,7,2,5,8] => 1000100 => [1,3,1,2] => 157
[2,6,5,1,3,4,7,8] => 0110000 => [1,2,4] => 65
[2,6,7,4,3,1,5,8] => 0011100 => [2,3,2] => 126
[2,6,3,1,7,4,5,8] => 0110100 => [1,2,1,1,2] => 241
[6,5,3,7,2,4,1,8] => 1101010 => [2,1,1,1,1,1] => 297
[2,3,6,7,1,5,4,8] => 0001010 => [3,1,1,1,1] => 165
[2,7,5,8,1,3,6,4] => 0101001 => [1,1,1,1,2,1] => 345
[5,1,6,7,3,2,4,8] => 1001100 => [1,2,2,2] => 211
[5,6,1,4,7,2,3,8] => 0100100 => [1,1,2,1,2] => 252
[1,2,5,7,8,6,3,4] => 0000110 => [4,2,1] => 65
[1,2,6,7,4,5,3,8] => 0001010 => [3,1,1,1,1] => 165
[1,2,7,8,4,6,3,5] => 0001010 => [3,1,1,1,1] => 165
[8,6,5,2,1,7,4,3] => 1111011 => [4,1,2] => 55
[4,3,8,6,7,1,5,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,3,2,4,7,1,6,5] => 1100101 => [2,2,1,1,1] => 255
[7,3,2,8,6,1,5,4] => 1101101 => [2,1,2,1,1] => 252
[7,5,8,2,6,1,4,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,4,1,2,6,5,8,3] => 1100101 => [2,2,1,1,1] => 255
[5,2,7,4,6,1,8,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,4,1,2,3,6,8,5] => 1100001 => [2,4,1] => 81
[5,4,8,6,3,2,1,7] => 1011110 => [1,1,4,1] => 107
[8,4,6,7,3,1,5,2] => 1001101 => [1,2,2,1,1] => 295
[4,6,8,5,1,2,7,3] => 0011001 => [2,2,2,1] => 211
[4,1,3,6,8,5,2,7] => 1000110 => [1,3,2,1] => 185
[6,3,5,7,1,2,8,4] => 1001001 => [1,2,1,2,1] => 281
[1,8,5,3,2,4,6,7] => 0111000 => [1,3,3] => 95
[1,6,7,3,4,2,5,8] => 0010100 => [2,1,1,1,2] => 207
[1,6,8,3,4,2,5,7] => 0010100 => [2,1,1,1,2] => 207
[1,8,7,5,3,4,2,6] => 0111010 => [1,3,1,1,1] => 219
[1,7,8,5,3,4,2,6] => 0011010 => [2,2,1,1,1] => 255
[1,7,6,8,4,2,3,5] => 0101100 => [1,1,1,2,2] => 255
[1,7,8,6,4,3,2,5] => 0011110 => [2,4,1] => 81
[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] => 572
[7,2,8,9,10,1,3,4,5,6] => 100010000 => [1,3,1,4] => 626
[9,7,8,6,5,4,3,2,1] => 10111111 => [1,1,6] => 35
[5,1,7,8,4,2,3,6] => 1001100 => [1,2,2,2] => 211
[3,8,2,1,6,7,5,4] => 0110011 => [1,2,2,2] => 211
[2,8,3,1,7,5,6,4] => 0110101 => [1,2,1,1,1,1] => 345
[8,5,6,2,1,4,7,3] => 1011001 => [1,1,2,2,1] => 295
[9,10,6,4,2,1,3,5,8,7] => 011110001 => [1,4,3,1] => 994
[10,7,8,4,2,1,3,6,5,9] => 101110010 => [1,1,3,2,1,1] => 2704
[9,7,10,4,2,1,3,6,8,5] => 101110001 => [1,1,3,3,1] => 1849
[8,9,10,4,2,1,3,7,6,5] => 001110011 => [2,3,2,2] => 1486
[10,8,5,6,2,1,4,3,7,9] => 110110100 => [2,1,2,1,1,2] => 2179
[9,10,5,6,2,1,4,3,8,7] => 010110101 => [1,1,1,2,1,1,1,1] => 4274
[10,7,5,8,2,1,4,6,3,9] => 110110010 => [2,1,2,2,1,1] => 2694
[9,7,5,10,2,1,4,6,8,3] => 110110001 => [2,1,2,3,1] => 1794
[8,9,5,10,2,1,4,7,6,3] => 010110011 => [1,1,1,2,2,2] => 2728
[10,6,7,8,2,1,5,4,3,9] => 100110110 => [1,2,2,1,2,1] => 2994
[9,6,7,10,2,1,5,4,8,3] => 100110101 => [1,2,2,1,1,1,1] => 3584
[8,6,9,10,2,1,5,7,4,3] => 100110011 => [1,2,2,2,2] => 2306
[7,8,9,10,2,1,6,5,4,3] => 000110111 => [3,2,1,3] => 802
[10,8,6,3,4,2,1,5,7,9] => 111011000 => [3,1,2,3] => 802
[9,10,6,3,4,2,1,5,8,7] => 011011001 => [1,2,1,2,2,1] => 2994
[10,7,8,3,4,2,1,6,5,9] => 101011010 => [1,1,1,1,2,1,1,1] => 4274
[9,7,10,3,4,2,1,6,8,5] => 101011001 => [1,1,1,1,2,2,1] => 3584
[8,9,10,3,4,2,1,7,6,5] => 001011011 => [2,1,1,2,1,2] => 2179
[10,8,5,3,6,2,4,1,7,9] => 111010100 => [3,1,1,1,1,2] => 1430
[9,10,5,3,6,2,4,1,8,7] => 011010101 => [1,2,1,1,1,1,1,1] => 4004
[10,7,5,3,8,2,4,6,1,9] => 111010010 => [3,1,1,2,1,1] => 1762
[9,7,5,3,10,2,4,6,8,1] => 111010001 => [3,1,1,3,1] => 1177
[8,9,5,3,10,2,4,7,6,1] => 011010011 => [1,2,1,1,2,2] => 2526
[10,6,7,3,8,2,5,4,1,9] => 101010110 => [1,1,1,1,1,1,2,1] => 4004
[9,6,7,3,10,2,5,4,8,1] => 101010101 => [1,1,1,1,1,1,1,1,1] => 4862
[8,6,9,3,10,2,5,7,4,1] => 101010011 => [1,1,1,1,1,2,2] => 3036
[7,8,9,3,10,2,6,5,4,1] => 001010111 => [2,1,1,1,1,3] => 1430
[10,8,4,5,6,3,2,1,7,9] => 110011100 => [2,2,3,2] => 1486
[9,10,4,5,6,3,2,1,8,7] => 010011101 => [1,1,2,3,1,1] => 2704
[10,7,4,5,8,3,2,6,1,9] => 110011010 => [2,2,2,1,1,1] => 2728
[9,7,4,5,10,3,2,6,8,1] => 110011001 => [2,2,2,2,1] => 2306
[8,9,4,5,10,3,2,7,6,1] => 010011011 => [1,1,2,2,1,2] => 2694
[10,6,4,7,8,3,5,2,1,9] => 110010110 => [2,2,1,1,2,1] => 2526
[9,6,4,7,10,3,5,2,8,1] => 110010101 => [2,2,1,1,1,1,1] => 3036
[8,6,4,9,10,3,5,7,2,1] => 110010011 => [2,2,1,2,2] => 1936
[7,8,4,9,10,3,6,5,2,1] => 010010111 => [1,1,2,1,1,3] => 1762
[10,5,6,7,8,4,3,2,1,9] => 100011110 => [1,3,4,1] => 994
[9,5,6,7,10,4,3,2,8,1] => 100011101 => [1,3,3,1,1] => 1849
[8,5,6,9,10,4,3,7,2,1] => 100011011 => [1,3,2,1,2] => 1794
[7,5,8,9,10,4,6,3,2,1] => 100010111 => [1,3,1,1,3] => 1177
[2,10,4,5,6,7,9,1,3,8] => 010000100 => [1,1,4,1,2] => 1304
[10,3,4,5,6,7,1,9,2,8] => 100001010 => [1,4,1,1,1,1] => 1529
[2,7,4,1,5,8,3,6] => 0110010 => [1,2,2,1,1] => 295
[2,1,6,4,7,8,3,5] => 1010010 => [1,1,1,2,1,1] => 359
[5,7,8,3,4,2,1,6] => 0010110 => [2,1,1,2,1] => 241
[4,7,5,3,8,2,6,1] => 0110101 => [1,2,1,1,1,1] => 345
[2,6,4,7,8,5,3,1] => 0100111 => [1,1,2,3] => 145
[7,8,4,5,6,1,3,2] => 0100101 => [1,1,2,1,1,1] => 359
[2,5,1,8,4,6,7,3] => 0101001 => [1,1,1,1,2,1] => 345
[5,2,8,4,6,7,1,3] => 1010010 => [1,1,1,2,1,1] => 359
[6,5,8,3,4,2,1,7] => 1010110 => [1,1,1,1,2,1] => 345
[1,3,5,8,4,6,7,2] => 0001001 => [3,1,2,1] => 137
[8,2,7,6,3,4,5,1] => 1011001 => [1,1,2,2,1] => 295
[6,8,7,3,2,1,4,5] => 0111100 => [1,4,2] => 81
[3,4,8,2,7,1,5,6] => 0010100 => [2,1,1,1,2] => 207
[7,2,6,1,4,8,3,5] => 1010010 => [1,1,1,2,1,1] => 359
[7,8,1,2,4,6,3,5] => 0100010 => [1,1,3,1,1] => 233
[7,2,8,3,4,5,1,6] => 1010010 => [1,1,1,2,1,1] => 359
[6,1,8,3,4,2,5,7] => 1010100 => [1,1,1,1,1,2] => 297
[7,5,1,2,4,3,8,6] => 1100101 => [2,2,1,1,1] => 255
[7,6,8,1,4,2,3,5] => 1010100 => [1,1,1,1,1,2] => 297
[2,4,3,7,8,5,6,1] => 0100101 => [1,1,2,1,1,1] => 359
[2,1,7,6,3,4,5,8] => 1011000 => [1,1,2,3] => 145
[6,3,5,2,1,8,4,7] => 1011010 => [1,1,2,1,1,1] => 359
[6,1,5,3,8,2,4,7] => 1010100 => [1,1,1,1,1,2] => 297
[2,3,6,8,5,1,7,4] => 0001101 => [3,2,1,1] => 145
[3,2,4,8,6,1,7,5] => 1001101 => [1,2,2,1,1] => 295
[2,1,3,8,4,5,7,6] => 1001001 => [1,2,1,2,1] => 281
[3,1,2,8,5,4,7,6] => 1001101 => [1,2,2,1,1] => 295
[2,1,3,7,8,4,6,5] => 1000101 => [1,3,1,1,1] => 219
[2,1,3,8,4,7,6,5] => 1001011 => [1,2,1,1,2] => 241
[3,1,2,8,4,5,7,6] => 1001001 => [1,2,1,2,1] => 281
[1,2,8,7,5,4,6,3] => 0011101 => [2,3,1,1] => 171
[4,6,7,2,3,8,1,5] => 0010010 => [2,1,2,1,1] => 252
[3,2,6,5,7,8,1,4] => 1010010 => [1,1,1,2,1,1] => 359
[3,2,7,5,6,8,1,4] => 1010010 => [1,1,1,2,1,1] => 359
[2,1,8,7,4,6,5,3] => 1011011 => [1,1,2,1,2] => 252
[6,1,5,8,4,7,3,2] => 1001011 => [1,2,1,1,2] => 241
[1,4,6,8,5,7,2,3] => 0001010 => [3,1,1,1,1] => 165
[2,4,7,1,8,3,6,5] => 0010101 => [2,1,1,1,1,1] => 297
[6,1,5,4,2,3,8,7] => 1011001 => [1,1,2,2,1] => 295
[6,4,5,1,2,8,3,7] => 1010010 => [1,1,1,2,1,1] => 359
[8,4,1,5,7,6,3,2] => 1100111 => [2,2,3] => 105
[8,1,6,3,5,2,4,7] => 1010100 => [1,1,1,1,1,2] => 297
[4,6,2,5,3,8,1,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,6,5,2,1,8,3,7] => 0111010 => [1,3,1,1,1] => 219
[5,8,4,3,6,7,2,1] => 0110011 => [1,2,2,2] => 211
[6,8,2,1,5,3,4,7] => 0110100 => [1,2,1,1,2] => 241
[2,5,3,8,6,7,4,1] => 0101011 => [1,1,1,1,1,2] => 297
[3,2,6,5,1,8,4,7] => 1011010 => [1,1,2,1,1,1] => 359
[7,4,5,8,1,6,2,3] => 1001010 => [1,2,1,1,1,1] => 345
[4,5,8,1,6,7,3,2] => 0010011 => [2,1,2,2] => 180
[5,1,8,4,6,7,3,2] => 1010011 => [1,1,1,2,2] => 255
[6,5,3,8,1,7,2,4] => 1101010 => [2,1,1,1,1,1] => 297
[8,3,7,1,6,2,4,5] => 1010100 => [1,1,1,1,1,2] => 297
[8,1,4,6,5,7,2,3] => 1001010 => [1,2,1,1,1,1] => 345
[8,1,7,5,6,4,2,3] => 1010110 => [1,1,1,1,2,1] => 345
[8,6,1,5,3,7,2,4] => 1101010 => [2,1,1,1,1,1] => 297
[7,2,3,6,8,1,5,4] => 1000101 => [1,3,1,1,1] => 219
[2,6,3,7,8,1,4,5] => 0100100 => [1,1,2,1,2] => 252
[6,3,8,7,2,1,5,4] => 1011101 => [1,1,3,1,1] => 233
[7,2,5,6,3,4,8,1] => 1001001 => [1,2,1,2,1] => 281
[7,2,8,6,3,1,5,4] => 1011101 => [1,1,3,1,1] => 233
[7,2,4,5,8,6,3,1] => 1000111 => [1,3,3] => 95
[6,3,8,4,7,2,5,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,2,3,6,8,5,4,1] => 1000111 => [1,3,3] => 95
[7,2,8,5,4,1,3,6] => 1011100 => [1,1,3,2] => 171
[7,4,5,2,8,1,6,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,5,4,2,8,1,6,3] => 1110101 => [3,1,1,1,1] => 165
[7,6,3,2,8,4,5,1] => 1110101 => [3,1,1,1,1] => 165
[7,2,3,6,8,4,5,1] => 1000101 => [1,3,1,1,1] => 219
[7,2,5,4,8,3,6,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,2,8,3,6,1,4,5] => 1010100 => [1,1,1,1,1,2] => 297
[7,4,5,2,8,3,6,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[3,1,6,7,4,5,2,8] => 1001010 => [1,2,1,1,1,1] => 345
[3,1,5,4,7,6,2,8] => 1010110 => [1,1,1,1,2,1] => 345
[7,3,6,8,2,4,5,1] => 1001001 => [1,2,1,2,1] => 281
[5,1,3,2,4,6,8,7] => 1010001 => [1,1,1,3,1] => 219
[8,4,2,5,1,7,3,6] => 1101010 => [2,1,1,1,1,1] => 297
[6,4,2,5,7,3,8,1] => 1100101 => [2,2,1,1,1] => 255
[5,7,8,4,2,3,6,1] => 0011001 => [2,2,2,1] => 211
[6,4,5,2,8,3,7,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,5,2,4,3,8,7,1] => 1101011 => [2,1,1,1,2] => 207
[6,5,3,4,1,8,2,7] => 1101010 => [2,1,1,1,1,1] => 297
[6,4,5,3,8,1,2,7] => 1010100 => [1,1,1,1,1,2] => 297
[5,6,4,8,3,1,2,7] => 0101100 => [1,1,1,2,2] => 255
[7,2,4,6,3,8,5,1] => 1001011 => [1,2,1,1,2] => 241
[2,8,3,7,6,1,5,4] => 0101101 => [1,1,1,2,1,1] => 359
[5,4,2,6,8,7,3,1] => 1100111 => [2,2,3] => 105
[3,7,2,5,8,6,4,1] => 0100111 => [1,1,2,3] => 145
[2,4,8,7,6,1,5,3] => 0011101 => [2,3,1,1] => 171
[3,2,8,7,4,6,5,1] => 1011011 => [1,1,2,1,2] => 252
[8,2,6,5,1,4,3,7] => 1011010 => [1,1,2,1,1,1] => 359
[4,8,5,2,7,6,3,1] => 0110111 => [1,2,1,3] => 137
[2,8,6,5,7,1,3,4] => 0110100 => [1,2,1,1,2] => 241
[3,8,4,7,2,1,6,5] => 0101101 => [1,1,1,2,1,1] => 359
[4,8,5,1,7,6,3,2] => 0110111 => [1,2,1,3] => 137
[5,8,1,7,6,2,3,4] => 0101100 => [1,1,1,2,2] => 255
[3,4,6,2,5,7,1,8] => 0010010 => [2,1,2,1,1] => 252
[1,7,5,2,6,8,3,4] => 0110010 => [1,2,2,1,1] => 295
[5,1,7,2,4,6,3,8] => 1010010 => [1,1,1,2,1,1] => 359
[6,8,2,1,3,4,7,5] => 0110001 => [1,2,3,1] => 185
[5,2,1,7,6,4,3,8] => 1101110 => [2,1,3,1] => 157
[7,4,8,3,6,5,1,2] => 1010110 => [1,1,1,1,2,1] => 345
[6,4,8,5,1,7,2,3] => 1011010 => [1,1,2,1,1,1] => 359
[5,2,8,1,3,6,7,4] => 1010001 => [1,1,1,3,1] => 219
[6,3,2,7,4,5,8,1] => 1101001 => [2,1,1,2,1] => 241
[7,4,3,8,5,6,1,2] => 1101010 => [2,1,1,1,1,1] => 297
[6,2,1,8,7,4,5,3] => 1101101 => [2,1,2,1,1] => 252
[6,2,1,8,7,3,5,4] => 1101101 => [2,1,2,1,1] => 252
[5,2,1,7,6,3,4,8] => 1101100 => [2,1,2,2] => 180
[4,2,6,8,5,7,1,3] => 1001010 => [1,2,1,1,1,1] => 345
[8,6,4,3,2,7,5,1] => 1111011 => [4,1,2] => 55
[1,3,4,7,8,2,6,5] => 0000101 => [4,1,1,1] => 75
[1,5,4,3,8,7,2,6] => 0110110 => [1,2,1,2,1] => 281
[1,2,5,8,4,3,6,7] => 0001100 => [3,2,2] => 105
[1,5,8,2,6,4,3,7] => 0010110 => [2,1,1,2,1] => 241
[10,9,8,6,4,2,1,3,5,7] => 111111000 => [6,3] => 84
[10,8,7,6,4,2,1,3,5,9] => 111111000 => [6,3] => 84
[10,7,9,6,4,2,1,3,8,5] => 101111001 => [1,1,4,2,1] => 1540
[10,9,8,7,6,4,2,1,3,5] => 111111100 => [7,2] => 36
[10,8,6,5,4,2,1,3,7,9] => 111111000 => [6,3] => 84
[10,9,8,6,5,4,2,1,3,7] => 111111100 => [7,2] => 36
[10,8,5,7,4,2,1,6,3,9] => 110111010 => [2,1,3,1,1,1] => 2256
[10,5,9,7,4,2,1,6,8,3] => 101111001 => [1,1,4,2,1] => 1540
[10,9,8,5,7,4,2,1,6,3] => 111011101 => [3,1,3,1,1] => 1330
[10,8,7,6,5,4,2,1,3,9] => 111111100 => [7,2] => 36
[10,7,9,6,5,4,2,1,8,3] => 101111101 => [1,1,5,1,1] => 794
[10,6,9,8,5,7,2,1,4,3] => 101101101 => [1,1,2,1,2,1,1] => 3667
[10,8,6,4,3,2,1,5,7,9] => 111111000 => [6,3] => 84
[10,9,8,6,4,3,2,1,5,7] => 111111100 => [7,2] => 36
[10,8,7,6,4,3,2,1,5,9] => 111111100 => [7,2] => 36
[10,7,9,6,4,3,2,1,8,5] => 101111101 => [1,1,5,1,1] => 794
[10,8,6,3,5,2,4,1,7,9] => 111010100 => [3,1,1,1,1,2] => 1430
[10,9,8,6,3,5,2,4,1,7] => 111101010 => [4,1,1,1,1,1] => 1001
[10,8,3,7,5,2,4,6,1,9] => 110110010 => [2,1,2,2,1,1] => 2694
[10,3,9,7,5,2,4,6,8,1] => 101110001 => [1,1,3,3,1] => 1849
[10,9,8,3,7,5,2,4,6,1] => 111011001 => [3,1,2,2,1] => 1532
[10,8,7,6,3,5,2,4,1,9] => 111101010 => [4,1,1,1,1,1] => 1001
[10,7,9,6,3,5,2,4,8,1] => 101101001 => [1,1,2,1,1,2,1] => 3484
[10,9,3,8,6,5,2,7,4,1] => 110111011 => [2,1,3,1,2] => 1647
[10,9,8,7,6,3,5,2,4,1] => 111110101 => [5,1,1,1,1] => 429
[10,8,6,5,4,3,2,1,7,9] => 111111100 => [7,2] => 36
[10,8,5,7,4,3,2,6,1,9] => 110111010 => [2,1,3,1,1,1] => 2256
[10,5,9,7,4,3,2,6,8,1] => 101111001 => [1,1,4,2,1] => 1540
[10,9,8,5,7,4,3,2,6,1] => 111011101 => [3,1,3,1,1] => 1330
[10,8,4,7,6,3,5,2,1,9] => 110110110 => [2,1,2,1,2,1] => 2550
[10,4,9,7,6,3,5,2,8,1] => 101110101 => [1,1,3,1,1,1,1] => 3014
[10,4,9,6,8,3,5,7,2,1] => 101010011 => [1,1,1,1,1,2,2] => 3036
[10,9,8,4,7,6,3,5,2,1] => 111011011 => [3,1,2,1,2] => 1304
[10,7,9,6,5,4,3,2,8,1] => 101111101 => [1,1,5,1,1] => 794
[10,6,9,8,5,4,3,7,2,1] => 101111011 => [1,1,4,1,2] => 1304
[10,5,9,8,7,4,6,3,2,1] => 101110111 => [1,1,3,1,3] => 1330
[3,5,6,2,4,7,8,1] => 0010001 => [2,1,3,1] => 157
[3,5,6,7,2,4,8,1] => 0001001 => [3,1,2,1] => 137
[3,5,7,6,8,2,4,1] => 0010101 => [2,1,1,1,1,1] => 297
[3,5,7,2,6,8,4,1] => 0010011 => [2,1,2,2] => 180
[3,5,2,7,6,8,4,1] => 0101011 => [1,1,1,1,1,2] => 297
[3,5,7,4,2,6,8,1] => 0011001 => [2,2,2,1] => 211
[3,5,4,7,2,6,8,1] => 0101001 => [1,1,1,1,2,1] => 345
[3,4,5,7,2,6,8,1] => 0001001 => [3,1,2,1] => 137
[3,4,5,7,2,8,6,1] => 0001011 => [3,1,1,2] => 117
[3,5,4,7,8,2,6,1] => 0100101 => [1,1,2,1,1,1] => 359
[3,5,4,7,2,8,6,1] => 0101011 => [1,1,1,1,1,2] => 297
[3,2,5,7,4,8,6,1] => 1001011 => [1,2,1,1,2] => 241
[3,5,7,4,2,8,6,1] => 0011011 => [2,2,1,2] => 180
[3,5,7,8,4,2,6,1] => 0001101 => [3,2,1,1] => 145
[2,3,5,7,8,4,6,1] => 0000101 => [4,1,1,1] => 75
[3,5,2,7,8,6,4,1] => 0100111 => [1,1,2,3] => 145
[3,5,7,8,2,6,4,1] => 0001011 => [3,1,1,2] => 117
[3,5,7,8,6,2,4,1] => 0001101 => [3,2,1,1] => 145
[3,2,5,6,7,8,9,1,4] => 10000010 => [1,5,1,1] => 170
[4,2,5,6,7,3,8,1] => 1000101 => [1,3,1,1,1] => 219
[4,2,5,6,7,8,9,3,1] => 10000011 => [1,5,2] => 133
[8,6,1,4,3,5,2,7] => 1101010 => [2,1,1,1,1,1] => 297
[6,1,8,4,3,5,2,7] => 1011010 => [1,1,2,1,1,1] => 359
[5,1,6,4,8,2,3,7] => 1010100 => [1,1,1,1,1,2] => 297
[8,1,4,2,5,3,6,7] => 1010100 => [1,1,1,1,1,2] => 297
[2,8,4,1,5,3,6,7] => 0110100 => [1,2,1,1,2] => 241
[8,4,1,3,5,2,6,7] => 1100100 => [2,2,1,2] => 180
[4,1,8,3,5,2,6,7] => 1010100 => [1,1,1,1,1,2] => 297
[8,3,1,2,5,4,6,7] => 1100100 => [2,2,1,2] => 180
[3,1,8,2,5,4,6,7] => 1010100 => [1,1,1,1,1,2] => 297
[4,2,5,1,8,7,6,3] => 1010111 => [1,1,1,1,3] => 165
[5,2,4,8,1,7,6,3] => 1001011 => [1,2,1,1,2] => 241
[7,3,2,4,6,8,1,5] => 1100010 => [2,3,1,1] => 171
[1,4,8,6,7,2,5,3] => 0010101 => [2,1,1,1,1,1] => 297
[1,4,5,7,3,8,2,6] => 0001010 => [3,1,1,1,1] => 165
[4,6,8,1,2,5,3,7] => 0010010 => [2,1,2,1,1] => 252
[3,5,6,8,2,1,4,7] => 0001100 => [3,2,2] => 105
[8,2,5,4,1,3,7,6] => 1011001 => [1,1,2,2,1] => 295
[2,4,5,8,6,3,1,7] => 0001110 => [3,3,1] => 95
[5,4,8,2,3,1,7,6] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,7,5,8,2,3,1,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,6,7,5,1,8,3,2] => 0011011 => [2,2,1,2] => 180
[1,7,3,6,5,8,2,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[8,3,4,2,6,7,1,5] => 1010010 => [1,1,1,2,1,1] => 359
[7,5,3,8,6,2,1,4] => 1101110 => [2,1,3,1] => 157
[7,3,1,8,2,6,5,4] => 1101011 => [2,1,1,1,2] => 207
[4,6,7,5,2,8,3,1] => 0011011 => [2,2,1,2] => 180
[5,8,7,2,4,3,1,6] => 0110110 => [1,2,1,2,1] => 281
[5,1,2,8,6,7,3,4] => 1001010 => [1,2,1,1,1,1] => 345
[2,5,7,8,6,1,4,3] => 0001101 => [3,2,1,1] => 145
[7,2,6,8,4,5,1,3] => 1001010 => [1,2,1,1,1,1] => 345
[5,1,7,6,8,2,3,4] => 1010100 => [1,1,1,1,1,2] => 297
[1,7,6,2,4,3,8,5] => 0110101 => [1,2,1,1,1,1] => 345
[7,1,6,2,4,5,3,8] => 1010010 => [1,1,1,2,1,1] => 359
[5,7,1,6,2,3,4,8] => 0101000 => [1,1,1,1,3] => 165
[6,2,5,8,3,4,1,7] => 1001010 => [1,2,1,1,1,1] => 345
[5,6,8,7,1,3,2,4] => 0011010 => [2,2,1,1,1] => 255
[1,5,3,4,8,2,6,7] => 0100100 => [1,1,2,1,2] => 252
[2,1,3,6,5,8,4,7] => 1001010 => [1,2,1,1,1,1] => 345
[2,8,6,5,7,4,3,1] => 0110111 => [1,2,1,3] => 137
[2,8,6,5,7,4,1,3] => 0110110 => [1,2,1,2,1] => 281
[6,5,2,7,4,3,1,8] => 1101110 => [2,1,3,1] => 157
[6,5,2,8,4,3,7,1] => 1101101 => [2,1,2,1,1] => 252
[7,5,8,3,4,2,1,6] => 1010110 => [1,1,1,1,2,1] => 345
[7,6,8,5,2,4,1,3] => 1011010 => [1,1,2,1,1,1] => 359
[5,3,7,2,4,1,8,6] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,1,2,8,6,3,7,4] => 1001101 => [1,2,2,1,1] => 295
[6,1,5,7,2,4,3,8] => 1001010 => [1,2,1,1,1,1] => 345
[4,1,8,2,6,5,7,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,1,4,7,8,5,3,2] => 1000111 => [1,3,3] => 95
[6,1,5,7,8,4,2,3] => 1000110 => [1,3,2,1] => 185
[4,6,1,5,7,2,8,3] => 0100101 => [1,1,2,1,1,1] => 359
[2,5,8,4,6,3,7,1] => 0010101 => [2,1,1,1,1,1] => 297
[4,3,7,1,2,6,8,5] => 1010001 => [1,1,1,3,1] => 219
[8,1,6,5,2,7,4,3] => 1011011 => [1,1,2,1,2] => 252
[6,8,1,5,2,7,4,3] => 0101011 => [1,1,1,1,1,2] => 297
[4,5,8,2,3,7,6,1] => 0010011 => [2,1,2,2] => 180
[5,6,2,7,4,8,3,1] => 0101011 => [1,1,1,1,1,2] => 297
[1,7,3,2,4,8,6,5] => 0110011 => [1,2,2,2] => 211
[4,3,1,8,2,6,7,5] => 1101001 => [2,1,1,2,1] => 241
[4,8,1,3,2,5,7,6] => 0101001 => [1,1,1,1,2,1] => 345
[1,7,5,3,8,6,2,4] => 0110110 => [1,2,1,2,1] => 281
[2,5,3,8,1,4,7,6] => 0101001 => [1,1,1,1,2,1] => 345
[4,2,5,8,1,3,7,6] => 1001001 => [1,2,1,2,1] => 281
[8,1,2,4,3,5,7,6] => 1001001 => [1,2,1,2,1] => 281
[2,4,3,8,1,5,7,6] => 0101001 => [1,1,1,1,2,1] => 345
[3,1,7,4,8,6,5,2] => 1010111 => [1,1,1,1,3] => 165
[6,4,5,3,2,8,7,1] => 1011011 => [1,1,2,1,2] => 252
[2,7,3,8,5,1,6,4] => 0101101 => [1,1,1,2,1,1] => 359
[8,7,3,2,5,6,4,1] => 1110011 => [3,2,2] => 105
[3,1,8,2,6,5,4,7] => 1010110 => [1,1,1,1,2,1] => 345
[7,6,2,8,1,4,5,3] => 1101001 => [2,1,1,2,1] => 241
[2,3,8,4,1,5,7,6] => 0011001 => [2,2,2,1] => 211
[8,4,2,3,1,5,7,6] => 1101001 => [2,1,1,2,1] => 241
[8,2,3,4,1,5,7,6] => 1001001 => [1,2,1,2,1] => 281
[7,1,6,2,4,8,3,5] => 1010010 => [1,1,1,2,1,1] => 359
[2,7,8,1,4,3,6,5] => 0010101 => [2,1,1,1,1,1] => 297
[6,5,8,1,3,2,4,7] => 1010100 => [1,1,1,1,1,2] => 297
[2,1,8,5,3,4,6,7] => 1011000 => [1,1,2,3] => 145
[8,4,1,3,2,5,6,7] => 1101000 => [2,1,1,3] => 117
[8,6,1,2,3,5,4,7] => 1100010 => [2,3,1,1] => 171
[7,8,1,5,2,4,6,3] => 0101001 => [1,1,1,1,2,1] => 345
[2,8,6,3,1,5,4,7] => 0111010 => [1,3,1,1,1] => 219
[5,7,2,8,4,1,6,3] => 0101101 => [1,1,1,2,1,1] => 359
[2,5,6,3,8,1,4,7] => 0010100 => [2,1,1,1,2] => 207
[1,3,4,5,6,7,2,8,9] => 00000100 => [5,1,2] => 83
[7,4,5,6,8,1,3,2] => 1000101 => [1,3,1,1,1] => 219
[7,6,8,1,4,5,3,2] => 1010011 => [1,1,1,2,2] => 255
[7,5,1,8,4,6,3,2] => 1101011 => [2,1,1,1,2] => 207
[1,7,8,5,6,4,3,2] => 0010111 => [2,1,1,3] => 117
[2,8,1,7,4,5,3,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[7,3,6,2,5,4,8,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[1,6,2,3,5,8,4,7] => 0100010 => [1,1,3,1,1] => 233
[1,8,5,6,4,3,7,2] => 0101101 => [1,1,1,2,1,1] => 359
[2,6,8,4,5,1,7,3] => 0010101 => [2,1,1,1,1,1] => 297
[4,6,5,7,8,1,3,2] => 0100101 => [1,1,2,1,1,1] => 359
[2,5,8,6,4,7,1,3] => 0011010 => [2,2,1,1,1] => 255
[5,3,2,1,7,8,4,6] => 1110010 => [3,2,1,1] => 145
[8,4,1,3,6,7,2,5] => 1100010 => [2,3,1,1] => 171
[1,6,5,3,8,4,7,2] => 0110101 => [1,2,1,1,1,1] => 345
[7,6,2,3,5,1,4,8] => 1100100 => [2,2,1,2] => 180
[6,2,5,3,4,8,1,7] => 1010010 => [1,1,1,2,1,1] => 359
[6,2,5,3,4,8,7,1] => 1010011 => [1,1,1,2,2] => 255
[2,6,5,3,4,8,1,7] => 0110010 => [1,2,2,1,1] => 295
[5,3,4,8,1,7,2,6] => 1001010 => [1,2,1,1,1,1] => 345
[5,1,3,4,8,7,2,6] => 1000110 => [1,3,2,1] => 185
[1,5,3,4,8,7,2,6] => 0100110 => [1,1,2,2,1] => 295
[5,1,3,8,4,7,6,2] => 1001011 => [1,2,1,1,2] => 241
[5,3,8,1,4,7,6,2] => 1010011 => [1,1,1,2,2] => 255
[4,3,5,8,1,7,6,2] => 1001011 => [1,2,1,1,2] => 241
[3,6,5,4,8,1,2,7] => 0110100 => [1,2,1,1,2] => 241
[3,6,5,4,8,2,7,1] => 0110101 => [1,2,1,1,1,1] => 345
[3,5,2,4,8,7,6,1] => 0100111 => [1,1,2,3] => 145
[2,5,3,6,8,4,1,7] => 0100110 => [1,1,2,2,1] => 295
[4,6,2,5,1,7,8,3] => 0101001 => [1,1,1,1,2,1] => 345
[2,3,1,7,4,8,6,5] => 0101011 => [1,1,1,1,1,2] => 297
[2,3,8,7,6,4,1,5] => 0011110 => [2,4,1] => 81
[2,6,3,7,4,1,5,8] => 0101100 => [1,1,1,2,2] => 255
[7,5,2,3,1,6,4,8] => 1101010 => [2,1,1,1,1,1] => 297
[1,8,3,6,4,2,7,5] => 0101101 => [1,1,1,2,1,1] => 359
[2,1,7,4,8,5,3,6] => 1010110 => [1,1,1,1,2,1] => 345
[8,1,7,3,2,5,4,6] => 1011010 => [1,1,2,1,1,1] => 359
[7,8,5,2,6,4,3,1] => 0110111 => [1,2,1,3] => 137
[4,2,8,1,3,6,7,5] => 1010001 => [1,1,1,3,1] => 219
[8,1,2,5,7,4,6,3] => 1000101 => [1,3,1,1,1] => 219
[7,4,6,3,1,2,5,8] => 1011000 => [1,1,2,3] => 145
[6,4,1,3,7,2,5,8] => 1100100 => [2,2,1,2] => 180
[8,2,5,3,6,1,4,7] => 1010100 => [1,1,1,1,1,2] => 297
[3,7,5,1,4,6,2,8] => 0110010 => [1,2,2,1,1] => 295
[6,8,7,4,1,5,2,3] => 0111010 => [1,3,1,1,1] => 219
[8,6,4,7,5,1,3,2] => 1101101 => [2,1,2,1,1] => 252
[6,1,2,4,7,8,3,5] => 1000010 => [1,4,1,1] => 107
[2,4,6,5,7,1,8,3] => 0010101 => [2,1,1,1,1,1] => 297
[3,2,8,9,10,1,4,5,6,7] => 100010000 => [1,3,1,4] => 626
[4,2,6,7,8,5,3,1] => 1000111 => [1,3,3] => 95
[6,2,4,7,8,5,3,1] => 1000111 => [1,3,3] => 95
[3,5,2,1,7,8,6,4] => 0110011 => [1,2,2,2] => 211
[4,2,7,8,6,5,1,3] => 1001110 => [1,2,3,1] => 185
[1,2,7,8,6,4,5,3] => 0001101 => [3,2,1,1] => 145
[4,8,1,2,6,5,3,7] => 0100110 => [1,1,2,2,1] => 295
[7,1,6,3,2,4,8,5] => 1011001 => [1,1,2,2,1] => 295
[6,4,8,1,2,3,7,5] => 1010001 => [1,1,1,3,1] => 219
[7,4,1,3,6,8,5,2] => 1100011 => [2,3,2] => 126
[5,2,7,1,4,6,3,8] => 1010010 => [1,1,1,2,1,1] => 359
[6,3,8,5,7,1,4,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[2,4,3,8,5,7,1,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,8,3,1,4,6,5,7] => 0110010 => [1,2,2,1,1] => 295
[4,5,7,6,1,3,8,2] => 0011001 => [2,2,2,1] => 211
[3,7,1,6,5,8,2,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[7,4,3,6,8,2,1,5] => 1100110 => [2,2,2,1] => 211
[3,8,5,4,7,6,1,2] => 0110110 => [1,2,1,2,1] => 281
[1,4,6,8,7,3,5,2] => 0001101 => [3,2,1,1] => 145
[4,6,5,1,3,8,7,2] => 0110011 => [1,2,2,2] => 211
[5,4,6,2,1,8,7,3] => 1011011 => [1,1,2,1,2] => 252
[3,2,8,5,1,4,6,7] => 1011000 => [1,1,2,3] => 145
[3,5,4,1,2,8,6,7] => 0110010 => [1,2,2,1,1] => 295
[5,3,8,1,4,2,6,7] => 1010100 => [1,1,1,1,1,2] => 297
[5,3,8,1,4,2,7,6] => 1010101 => [1,1,1,1,1,1,1] => 429
[1,4,7,5,8,6,2,3] => 0010110 => [2,1,1,2,1] => 241
[8,5,7,6,3,4,1,2] => 1011010 => [1,1,2,1,1,1] => 359
[7,5,2,6,1,4,8,3] => 1101001 => [2,1,1,2,1] => 241
[2,4,5,1,8,3,7,6] => 0010101 => [2,1,1,1,1,1] => 297
[7,2,8,5,3,4,1,6] => 1011010 => [1,1,2,1,1,1] => 359
[6,4,5,3,1,7,8,2] => 1011001 => [1,1,2,2,1] => 295
[7,3,5,6,4,1,8,2] => 1001101 => [1,2,2,1,1] => 295
[1,4,7,6,8,5,2,3] => 0010110 => [2,1,1,2,1] => 241
[2,3,4,7,8,9,1,5,6] => 00000100 => [5,1,2] => 83
[2,3,6,7,8,9,1,4,5] => 00000100 => [5,1,2] => 83
[2,5,6,7,8,9,1,3,4] => 00000100 => [5,1,2] => 83
[2,3,4,5,1,9,6,7,8] => 00010100 => [3,1,1,1,2] => 407
[2,3,4,1,8,9,5,6,7] => 00100100 => [2,1,2,1,2] => 623
[2,3,4,5,8,9,10,1,6,7] => 000000100 => [6,1,2] => 119
[2,3,1,7,8,9,4,5,6] => 01000100 => [1,1,3,1,2] => 609
[2,3,4,7,8,9,10,1,5,6] => 000000100 => [6,1,2] => 119
[2,1,6,7,8,9,3,4,5] => 10000100 => [1,4,1,2] => 303
[2,3,6,7,8,9,10,1,4,5] => 000000100 => [6,1,2] => 119
[2,5,6,7,8,9,10,1,3,4] => 000000100 => [6,1,2] => 119
[2,5,6,3,4,1,8,7] => 0010101 => [2,1,1,1,1,1] => 297
[4,6,2,1,5,8,3,7] => 0110010 => [1,2,2,1,1] => 295
[4,6,7,2,3,8,5,1] => 0010011 => [2,1,2,2] => 180
[4,5,3,7,8,1,2,6] => 0100100 => [1,1,2,1,2] => 252
[2,3,5,8,1,6,4,7] => 0001010 => [3,1,1,1,1] => 165
[1,7,4,5,8,3,6,2] => 0100101 => [1,1,2,1,1,1] => 359
[2,8,5,6,3,1,4,7] => 0101100 => [1,1,1,2,2] => 255
[4,8,2,6,1,5,7,3] => 0101001 => [1,1,1,1,2,1] => 345
[2,3,7,8,1,5,4,6] => 0001010 => [3,1,1,1,1] => 165
[5,2,6,7,8,3,1,4] => 1000110 => [1,3,2,1] => 185
[5,6,2,7,8,3,1,4] => 0100110 => [1,1,2,2,1] => 295
[2,3,7,5,8,4,6,1] => 0010101 => [2,1,1,1,1,1] => 297
[3,7,8,5,1,4,6,2] => 0011001 => [2,2,2,1] => 211
[2,5,6,7,1,8,4,3] => 0001011 => [3,1,1,2] => 117
[8,5,3,6,4,2,1,7] => 1101110 => [2,1,3,1] => 157
[6,4,7,8,1,2,5,3] => 1001001 => [1,2,1,2,1] => 281
[7,5,8,1,2,3,6,4] => 1010001 => [1,1,1,3,1] => 219
[1,2,8,7,4,6,5,3] => 0011011 => [2,2,1,2] => 180
[5,1,4,8,7,3,6,2] => 1001101 => [1,2,2,1,1] => 295
[4,3,1,8,7,5,6,2] => 1101101 => [2,1,2,1,1] => 252
[4,3,2,7,6,1,5,8] => 1101100 => [2,1,2,2] => 180
[7,2,6,5,3,1,4,8] => 1011100 => [1,1,3,2] => 171
[1,3,7,6,2,4,8,5] => 0011001 => [2,2,2,1] => 211
[1,3,8,2,7,4,6,5] => 0010101 => [2,1,1,1,1,1] => 297
[8,2,7,1,6,4,3,5] => 1010110 => [1,1,1,1,2,1] => 345
[4,3,2,8,1,7,5,6] => 1101010 => [2,1,1,1,1,1] => 297
[7,5,4,1,6,3,8,2] => 1110101 => [3,1,1,1,1] => 165
[1,6,5,3,2,4,8,7] => 0111001 => [1,3,2,1] => 185
[1,7,3,5,2,4,8,6] => 0101001 => [1,1,1,1,2,1] => 345
[4,3,7,2,5,1,6,8] => 1010100 => [1,1,1,1,1,2] => 297
[5,1,4,3,2,6,8,7] => 1011001 => [1,1,2,2,1] => 295
[7,2,1,3,5,4,6,8] => 1100100 => [2,2,1,2] => 180
[8,3,7,5,4,2,6,1] => 1011101 => [1,1,3,1,1] => 233
[1,6,8,7,5,2,3,4] => 0011100 => [2,3,2] => 126
[4,3,6,1,8,5,2,7] => 1010110 => [1,1,1,1,2,1] => 345
[1,3,6,2,5,4,8,7] => 0010101 => [2,1,1,1,1,1] => 297
[1,4,8,7,3,6,2,5] => 0011010 => [2,2,1,1,1] => 255
[1,2,7,3,8,4,9,5,10,6] => 001010101 => [2,1,1,1,1,1,1,1] => 3432
[4,5,7,6,3,1,8,2] => 0011101 => [2,3,1,1] => 171
[4,6,7,5,1,3,8,2] => 0011001 => [2,2,2,1] => 211
[3,6,5,1,4,7,8,2] => 0110001 => [1,2,3,1] => 185
[4,6,7,3,1,5,8,2] => 0011001 => [2,2,2,1] => 211
[5,4,1,8,7,3,6,2] => 1101101 => [2,1,2,1,1] => 252
[6,2,4,7,5,3,1,8] => 1001110 => [1,2,3,1] => 185
[6,2,5,1,8,7,3,4] => 1010110 => [1,1,1,1,2,1] => 345
[3,2,6,1,5,8,7,4] => 1010011 => [1,1,1,2,2] => 255
[4,2,3,6,7,5,1,8] => 1000110 => [1,3,2,1] => 185
[6,2,3,5,7,4,1,8] => 1000110 => [1,3,2,1] => 185
[1,6,3,8,4,7,2,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[8,1,5,2,4,7,3,6] => 1010010 => [1,1,1,2,1,1] => 359
[7,5,8,1,4,2,3,6] => 1010100 => [1,1,1,1,1,2] => 297
[4,1,2,3,6,5,8,7,9] => 10001010 => [1,3,1,1,1,1] => 770
[4,1,2,3,6,5,8,7,10,9] => 100010101 => [1,3,1,1,1,1,1] => 2717
[4,1,6,2,3,5,8,7,9] => 10100010 => [1,1,1,3,1,1] => 842
[1,3,4,8,5,6,2,7] => 0001010 => [3,1,1,1,1] => 165
[3,2,7,1,8,6,5,4] => 1010111 => [1,1,1,1,3] => 165
[1,3,8,5,6,7,2,4] => 0010010 => [2,1,2,1,1] => 252
[6,2,4,1,5,7,8,3] => 1010001 => [1,1,1,3,1] => 219
[5,8,4,1,3,6,7,2] => 0110001 => [1,2,3,1] => 185
[6,7,2,3,8,1,4,5] => 0100100 => [1,1,2,1,2] => 252
[3,2,7,4,8,1,5,6] => 1010100 => [1,1,1,1,1,2] => 297
[5,2,8,1,7,4,6,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[2,5,4,7,3,1,8,6] => 0101101 => [1,1,1,2,1,1] => 359
[4,6,3,1,2,5,7,8] => 0110000 => [1,2,4] => 65
[7,4,6,8,3,1,2,5] => 1001100 => [1,2,2,2] => 211
[8,5,4,7,3,1,2,6] => 1101100 => [2,1,2,2] => 180
[7,3,2,1,5,4,8,6] => 1110101 => [3,1,1,1,1] => 165
[2,5,6,4,8,1,3,7] => 0010100 => [2,1,1,1,2] => 207
[5,4,1,6,2,3,7,8] => 1101000 => [2,1,1,3] => 117
[1,3,6,5,2,4,7,8] => 0011000 => [2,2,3] => 105
[6,4,5,1,2,8,7,3] => 1010011 => [1,1,1,2,2] => 255
[5,4,1,2,7,6,3,8] => 1100110 => [2,2,2,1] => 211
[5,8,7,3,1,2,4,6] => 0111000 => [1,3,3] => 95
[2,7,8,1,4,5,3,6] => 0010010 => [2,1,2,1,1] => 252
[4,1,2,8,7,3,6,5] => 1001101 => [1,2,2,1,1] => 295
[6,1,2,4,3,8,7,5] => 1001011 => [1,2,1,1,2] => 241
[3,7,8,1,2,4,6,5] => 0010001 => [2,1,3,1] => 157
[7,3,4,1,2,6,8,5] => 1010001 => [1,1,1,3,1] => 219
[8,4,3,1,2,6,5,7] => 1110010 => [3,2,1,1] => 145
[3,8,2,7,4,5,1,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[8,6,2,3,5,4,1,7] => 1100110 => [2,2,2,1] => 211
[8,2,6,1,3,5,4,7] => 1010010 => [1,1,1,2,1,1] => 359
[8,4,3,7,2,5,6,1] => 1101001 => [2,1,1,2,1] => 241
[8,3,1,7,4,5,2,6] => 1101010 => [2,1,1,1,1,1] => 297
[8,2,4,5,1,7,3,6] => 1001010 => [1,2,1,1,1,1] => 345
[6,8,2,4,5,1,7,3] => 0100101 => [1,1,2,1,1,1] => 359
[4,3,8,1,7,5,6,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,4,3,7,1,5,6,2] => 1101001 => [2,1,1,2,1] => 241
[8,3,4,7,2,6,5,1] => 1001011 => [1,2,1,1,2] => 241
[8,1,3,7,6,4,5,2] => 1001101 => [1,2,2,1,1] => 295
[8,3,7,1,4,5,6,2] => 1010001 => [1,1,1,3,1] => 219
[8,7,3,6,1,2,5,4] => 1101001 => [2,1,1,2,1] => 241
[8,3,7,6,2,4,5,1] => 1011001 => [1,1,2,2,1] => 295
[8,7,2,3,6,1,5,4] => 1100101 => [2,2,1,1,1] => 255
[8,2,7,1,3,4,6,5] => 1010001 => [1,1,1,3,1] => 219
[5,1,8,4,2,3,7,6] => 1011001 => [1,1,2,2,1] => 295
[8,2,4,7,3,1,6,5] => 1001101 => [1,2,2,1,1] => 295
[8,2,7,6,3,1,4,5] => 1011100 => [1,1,3,2] => 171
[6,8,1,4,7,3,2,5] => 0100110 => [1,1,2,2,1] => 295
[8,5,7,2,6,3,1,4] => 1010110 => [1,1,1,1,2,1] => 345
[5,8,2,7,3,1,6,4] => 0101101 => [1,1,1,2,1,1] => 359
[8,1,2,6,7,5,4,3] => 1000111 => [1,3,3] => 95
[8,4,1,7,5,6,2,3] => 1101010 => [2,1,1,1,1,1] => 297
[8,2,4,7,6,5,1,3] => 1001110 => [1,2,3,1] => 185
[8,2,7,6,4,5,1,3] => 1011010 => [1,1,2,1,1,1] => 359
[8,4,7,2,3,6,5,1] => 1010011 => [1,1,1,2,2] => 255
[8,2,4,7,3,6,5,1] => 1001011 => [1,2,1,1,2] => 241
[8,1,7,6,4,5,2,3] => 1011010 => [1,1,2,1,1,1] => 359
[8,1,2,7,6,4,5,3] => 1001101 => [1,2,2,1,1] => 295
[8,1,4,7,3,6,5,2] => 1001011 => [1,2,1,1,2] => 241
[2,3,1,9,8,7,6,5,4] => 01011111 => [1,1,1,5] => 110
[3,4,2,1,9,8,7,6,5] => 01101111 => [1,2,1,4] => 235
[4,5,3,2,1,9,8,7,6] => 01110111 => [1,3,1,3] => 332
[5,6,4,3,2,1,9,8,7] => 01111011 => [1,4,1,2] => 303
[6,7,5,4,3,2,1,9,8] => 01111101 => [1,5,1,1] => 170
[2,8,1,5,3,7,6,4] => 0101011 => [1,1,1,1,1,2] => 297
[1,8,2,4,7,5,6,3] => 0100101 => [1,1,2,1,1,1] => 359
[2,3,8,4,7,1,6,5] => 0010101 => [2,1,1,1,1,1] => 297
[1,8,2,3,5,6,4,7] => 0100010 => [1,1,3,1,1] => 233
[1,4,7,6,2,3,5,8] => 0011000 => [2,2,3] => 105
[1,7,6,2,3,8,4,5] => 0110010 => [1,2,2,1,1] => 295
[1,8,2,3,7,6,4,5] => 0100110 => [1,1,2,2,1] => 295
[1,7,3,8,6,2,5,4] => 0101101 => [1,1,1,2,1,1] => 359
[5,8,2,3,7,4,1,6] => 0100110 => [1,1,2,2,1] => 295
[4,2,8,3,7,6,1,5] => 1010110 => [1,1,1,1,2,1] => 345
[1,3,5,6,4,8,2,7] => 0001010 => [3,1,1,1,1] => 165
[3,1,7,8,5,2,4,6] => 1001100 => [1,2,2,2] => 211
[7,1,2,3,4,5,9,6,10,8] => 100000101 => [1,5,1,1,1] => 704
[4,6,1,8,2,7,5,3] => 0101011 => [1,1,1,1,1,2] => 297
[6,3,5,2,8,4,7,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[1,6,3,5,2,8,4,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,4,8,6,3,7,2,1] => 1011011 => [1,1,2,1,2] => 252
[6,4,5,8,1,3,7,2] => 1001001 => [1,2,1,2,1] => 281
[6,3,5,1,8,4,7,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[2,6,3,1,5,8,4,7] => 0110010 => [1,2,2,1,1] => 295
[2,5,4,8,6,3,1,7] => 0101110 => [1,1,1,3,1] => 219
[2,5,4,8,6,3,7,1] => 0101101 => [1,1,1,2,1,1] => 359
[1,2,5,4,8,6,3,7] => 0010110 => [2,1,1,2,1] => 241
[6,4,5,8,2,1,7,3] => 1001101 => [1,2,2,1,1] => 295
[5,3,4,1,2,6,8,7] => 1010001 => [1,1,1,3,1] => 219
[1,4,3,5,2,8,6,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,3,5,4,8,2,6,7] => 0010100 => [2,1,1,1,2] => 207
[3,5,4,8,2,6,1,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,6,4,5,1,2,8,7] => 0101001 => [1,1,1,1,2,1] => 345
[4,3,5,1,8,6,2,7] => 1010110 => [1,1,1,1,2,1] => 345
[3,5,4,8,1,6,2,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,4,8,5,6,1,2,7] => 0010100 => [2,1,1,1,2] => 207
[3,4,8,5,6,2,1,7] => 0010110 => [2,1,1,2,1] => 241
[3,5,4,8,1,6,7,2] => 0101001 => [1,1,1,1,2,1] => 345
[2,4,3,1,5,8,6,7] => 0110010 => [1,2,2,1,1] => 295
[1,7,6,2,5,4,8,3] => 0110101 => [1,2,1,1,1,1] => 345
[5,6,1,7,4,3,8,2] => 0101101 => [1,1,1,2,1,1] => 359
[3,1,5,6,4,2,7,8] => 1001100 => [1,2,2,2] => 211
[8,3,4,1,6,5,7,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,1,6,4,3,5,2,7] => 1011010 => [1,1,2,1,1,1] => 359
[1,3,7,8,2,6,4,5] => 0001010 => [3,1,1,1,1] => 165
[2,1,6,5,3,8,7,4] => 1011011 => [1,1,2,1,2] => 252
[3,7,5,6,4,2,1,8] => 0101110 => [1,1,1,3,1] => 219
[6,1,4,3,7,5,8,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[3,8,6,4,5,2,7,1] => 0110101 => [1,2,1,1,1,1] => 345
[4,5,8,6,2,3,7,1] => 0011001 => [2,2,2,1] => 211
[4,6,8,5,3,7,2,1] => 0011011 => [2,2,1,2] => 180
[4,5,7,2,8,6,3,1] => 0010111 => [2,1,1,3] => 117
[3,7,4,5,1,6,8,2] => 0101001 => [1,1,1,1,2,1] => 345
[4,6,8,1,2,5,7,3] => 0010001 => [2,1,3,1] => 157
[4,6,8,5,1,3,7,2] => 0011001 => [2,2,2,1] => 211
[3,7,4,5,2,8,6,1] => 0101011 => [1,1,1,1,1,2] => 297
[3,7,8,4,6,1,5,2] => 0010101 => [2,1,1,1,1,1] => 297
[4,5,7,2,1,6,8,3] => 0011001 => [2,2,2,1] => 211
[4,5,1,6,8,3,7,2] => 0100101 => [1,1,2,1,1,1] => 359
[8,3,5,4,6,1,2,7] => 1010100 => [1,1,1,1,1,2] => 297
[3,4,5,6,1,7,2,9,8] => 00010101 => [3,1,1,1,1,1] => 572
[1,7,4,5,2,6,8,3] => 0101001 => [1,1,1,1,2,1] => 345
[1,4,5,9,6,7,2,8,3] => 00010101 => [3,1,1,1,1,1] => 572
[3,4,5,6,7,1,8,2,10,9] => 000010101 => [4,1,1,1,1,1] => 1001
[2,4,5,9,6,1,7,3,8] => 00011010 => [3,2,1,1,1] => 516
[3,4,5,7,6,1,9,2,8] => 00011010 => [3,2,1,1,1] => 516
[1,4,2,6,5,3,8,7] => 0101101 => [1,1,1,2,1,1] => 359
[3,1,5,8,4,6,2,7] => 1001010 => [1,2,1,1,1,1] => 345
[3,5,6,9,7,1,8,2,4] => 00011010 => [3,2,1,1,1] => 516
[1,4,8,5,6,2,7,9,3] => 00101001 => [2,1,1,1,2,1] => 821
[1,4,5,6,10,7,8,2,9,3] => 000010101 => [4,1,1,1,1,1] => 1001
[2,4,5,6,10,7,1,8,3,9] => 000011010 => [4,2,1,1,1] => 931
[3,4,5,6,8,7,1,10,2,9] => 000011010 => [4,2,1,1,1] => 931
[2,5,9,6,7,3,1,4,8] => 00101100 => [2,1,1,2,2] => 620
[4,1,5,2,7,6,3,9,8] => 10101101 => [1,1,1,1,2,1,1] => 1220
[3,4,1,6,9,5,7,2,8] => 01001010 => [1,1,2,1,1,1,1] => 1220
[8,2,6,3,4,1,5,7] => 1010100 => [1,1,1,1,1,2] => 297
[4,6,5,8,2,1,3,7] => 0101100 => [1,1,1,2,2] => 255
[1,4,8,3,5,6,2,7] => 0010010 => [2,1,2,1,1] => 252
[1,8,7,4,2,3,6,5] => 0111001 => [1,3,2,1] => 185
[6,7,9,8,1,3,4,2,5] => 00110010 => [2,2,2,1,1] => 765
[9,1,5,2,8,6,3,7,4] => 10101101 => [1,1,1,1,2,1,1] => 1220
[3,5,6,7,10,8,1,9,2,4] => 000011010 => [4,2,1,1,1] => 931
[1,7,4,5,2,6,8,9,3] => 01010001 => [1,1,1,1,3,1] => 770
[1,4,5,9,6,7,2,8,10,3] => 000101001 => [3,1,1,1,2,1] => 1672
[4,3,1,8,5,7,2,6] => 1101010 => [2,1,1,1,1,1] => 297
[7,3,2,4,8,1,6,5] => 1100101 => [2,2,1,1,1] => 255
[3,7,2,4,5,8,1,6] => 0100010 => [1,1,3,1,1] => 233
[3,2,7,4,6,1,8,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,3,2,4,6,1,7,5] => 1100101 => [2,2,1,1,1] => 255
[8,3,2,4,5,7,1,6] => 1100010 => [2,3,1,1] => 171
[7,4,6,2,1,3,8,5] => 1011001 => [1,1,2,2,1] => 295
[3,6,7,2,4,1,8,5] => 0010101 => [2,1,1,1,1,1] => 297
[5,4,8,7,6,2,3,1] => 1011101 => [1,1,3,1,1] => 233
[5,2,3,8,7,1,6,4] => 1001101 => [1,2,2,1,1] => 295
[7,5,2,4,1,3,8,6] => 1101001 => [2,1,1,2,1] => 241
[7,2,6,8,5,1,3,4] => 1001100 => [1,2,2,2] => 211
[8,2,3,4,1,6,7,5] => 1001001 => [1,2,1,2,1] => 281
[9,2,3,4,5,6,1,8,7] => 10000101 => [1,4,1,1,1] => 410
[9,2,3,4,5,1,7,8,6] => 10001001 => [1,3,1,2,1] => 646
[9,2,3,4,1,6,7,8,5] => 10010001 => [1,2,1,3,1] => 646
[9,2,3,1,5,6,7,8,4] => 10100001 => [1,1,1,4,1] => 410
[9,2,1,4,5,6,7,8,3] => 11000001 => [2,5,1] => 133
[10,2,3,4,5,6,7,1,9,8] => 100000101 => [1,5,1,1,1] => 704
[5,2,3,4,1,9,6,8,7] => 10010101 => [1,2,1,1,1,1,1] => 1166
[10,2,3,4,5,6,1,8,9,7] => 100001001 => [1,4,1,2,1] => 1315
[4,2,3,1,9,5,7,8,6] => 10101001 => [1,1,1,1,1,2,1] => 1166
[10,2,3,4,5,1,7,8,9,6] => 100010001 => [1,3,1,3,1] => 1622
[3,2,1,9,4,6,7,8,5] => 11010001 => [2,1,1,3,1] => 551
[10,2,3,4,1,6,7,8,9,5] => 100100001 => [1,2,1,4,1] => 1315
[2,1,9,3,5,6,7,8,4] => 10100001 => [1,1,1,4,1] => 410
[10,2,3,1,5,6,7,8,9,4] => 101000001 => [1,1,1,5,1] => 704
[10,2,1,4,5,6,7,8,9,3] => 110000001 => [2,6,1] => 204
[7,4,3,8,1,6,5,2] => 1101011 => [2,1,1,1,2] => 207
[6,5,1,4,3,8,7,2] => 1101011 => [2,1,1,1,2] => 207
[4,7,6,2,5,8,1,3] => 0110010 => [1,2,2,1,1] => 295
[6,3,2,4,5,8,1,7] => 1100010 => [2,3,1,1] => 171
[2,6,4,5,8,3,1,7] => 0100110 => [1,1,2,2,1] => 295
[3,7,4,8,6,2,5,1] => 0101101 => [1,1,1,2,1,1] => 359
[7,3,5,2,8,1,4,6] => 1010100 => [1,1,1,1,1,2] => 297
[1,5,8,7,4,2,3,6] => 0011100 => [2,3,2] => 126
[1,7,2,4,5,8,6,3] => 0100011 => [1,1,3,2] => 171
[1,4,6,8,7,2,5,3] => 0001101 => [3,2,1,1] => 145
[1,6,2,7,5,3,4,8] => 0101100 => [1,1,1,2,2] => 255
[1,3,7,2,6,4,5,8] => 0010100 => [2,1,1,1,2] => 207
[1,7,3,2,8,5,6,4] => 0110101 => [1,2,1,1,1,1] => 345
[1,6,5,2,4,8,3,7] => 0110010 => [1,2,2,1,1] => 295
[1,7,3,8,4,2,5,6] => 0101100 => [1,1,1,2,2] => 255
[1,6,2,4,7,5,8,3] => 0100101 => [1,1,2,1,1,1] => 359
[1,6,2,7,4,3,8,5] => 0101101 => [1,1,1,2,1,1] => 359
[1,5,8,2,3,6,4,7] => 0010010 => [2,1,2,1,1] => 252
[6,8,9,1,2,3,4,5,7] => 00100000 => [2,1,5] => 83
[5,8,9,1,2,3,4,6,7] => 00100000 => [2,1,5] => 83
[2,5,3,6,7,1,4,8] => 0100100 => [1,1,2,1,2] => 252
[6,4,1,5,7,2,3,8] => 1100100 => [2,2,1,2] => 180
[6,4,1,5,7,3,8,2] => 1100101 => [2,2,1,1,1] => 255
[1,2,7,3,8,5,6,4] => 0010101 => [2,1,1,1,1,1] => 297
[7,4,1,6,3,8,2,5] => 1101010 => [2,1,1,1,1,1] => 297
[1,5,7,4,3,8,6,2] => 0011011 => [2,2,1,2] => 180
[2,7,3,1,4,5,8,6] => 0110001 => [1,2,3,1] => 185
[2,3,4,5,1,7,6,9,8] => 00010101 => [3,1,1,1,1,1] => 572
[2,3,4,1,6,5,8,7,9] => 00101010 => [2,1,1,1,1,1,1] => 1001
[2,3,4,5,6,7,1,9,8,10] => 000001010 => [5,1,1,1,1] => 429
[2,3,4,5,1,8,6,9,7] => 00010101 => [3,1,1,1,1,1] => 572
[2,3,4,1,7,5,8,6,9] => 00101010 => [2,1,1,1,1,1,1] => 1001
[2,3,4,5,1,7,6,9,8,10] => 000101010 => [3,1,1,1,1,1,1] => 2002
[6,5,8,3,2,7,1,4] => 1011010 => [1,1,2,1,1,1] => 359
[8,4,3,1,7,6,5,2] => 1110111 => [3,1,3] => 69
[1,2,6,7,5,3,4,8] => 0001100 => [3,2,2] => 105
[1,2,6,8,7,4,5,3] => 0001101 => [3,2,1,1] => 145
[3,4,5,6,7,9,1,8,2] => 00000101 => [5,1,1,1] => 110
[3,4,5,6,8,2,7,1] => 0000101 => [4,1,1,1] => 75
[3,4,5,6,7,8,10,1,9,2] => 000000101 => [6,1,1,1] => 154
[3,4,5,6,7,9,2,8,1] => 00000101 => [5,1,1,1] => 110
[3,4,5,6,7,1,9,8,2] => 00001011 => [4,1,1,2] => 200
[7,2,1,4,5,6,3,8] => 1100010 => [2,3,1,1] => 171
[1,5,6,7,3,4,2,8] => 0001010 => [3,1,1,1,1] => 165
[4,6,8,5,2,1,7,3] => 0011101 => [2,3,1,1] => 171
[1,6,7,8,2,4,5,3] => 0001001 => [3,1,2,1] => 137
[4,7,8,2,1,3,5,6] => 0011000 => [2,2,3] => 105
[5,7,8,3,2,4,6,1] => 0011001 => [2,2,2,1] => 211
[5,7,8,2,3,1,6,4] => 0010101 => [2,1,1,1,1,1] => 297
[5,3,4,2,1,9,8,7,6] => 10110111 => [1,1,2,1,3] => 502
[6,5,3,4,2,1,9,8,7] => 11011011 => [2,1,2,1,2] => 623
[7,6,4,5,3,2,1,9,8] => 11011101 => [2,1,3,1,1] => 609
[4,5,2,7,8,6,1,3] => 0100110 => [1,1,2,2,1] => 295
[1,3,5,8,7,2,6,4] => 0001101 => [3,2,1,1] => 145
[6,4,1,8,5,7,3,2] => 1101011 => [2,1,1,1,2] => 207
[4,1,3,8,7,5,2,6] => 1001110 => [1,2,3,1] => 185
[8,5,1,6,7,2,4,3] => 1100101 => [2,2,1,1,1] => 255
[3,6,7,2,1,5,8,4] => 0011001 => [2,2,2,1] => 211
[2,5,6,1,3,8,7,4] => 0010011 => [2,1,2,2] => 180
[7,2,5,6,1,3,8,4] => 1001001 => [1,2,1,2,1] => 281
[6,4,1,2,5,8,3,7] => 1100010 => [2,3,1,1] => 171
[4,6,3,5,7,1,8,2] => 0100101 => [1,1,2,1,1,1] => 359
[4,7,3,5,2,6,8,1] => 0101001 => [1,1,1,1,2,1] => 345
[2,3,5,4,7,1,8,6] => 0010101 => [2,1,1,1,1,1] => 297
[6,8,4,1,5,7,3,2] => 0110011 => [1,2,2,2] => 211
[8,1,6,2,3,7,5,4] => 1010011 => [1,1,1,2,2] => 255
[7,8,9,6,1,2,3,4,10,5] => 001100001 => [2,2,4,1] => 1041
[2,8,9,10,7,1,3,4,5,6] => 000110000 => [3,2,4] => 431
[8,9,7,5,6,1,2,3,10,4] => 011010001 => [1,2,1,1,3,1] => 2279
[2,9,10,8,6,7,1,3,4,5] => 001101000 => [2,2,1,1,3] => 1286
[7,8,9,5,1,2,3,4,10,6] => 001100001 => [2,2,4,1] => 1041
[7,8,9,1,6,2,3,4,10,5] => 001010001 => [2,1,1,1,3,1] => 1947
[2,8,9,10,6,1,3,4,5,7] => 000110000 => [3,2,4] => 431
[2,8,9,10,1,7,3,4,5,6] => 000101000 => [3,1,1,1,3] => 858
[2,8,3,6,4,1,7,5] => 0101101 => [1,1,1,2,1,1] => 359
[6,5,3,4,8,2,1,7] => 1100110 => [2,2,2,1] => 211
[5,4,8,7,3,6,2,1] => 1011011 => [1,1,2,1,2] => 252
[3,4,5,1,2,6,7,8,9] => 00100000 => [2,1,5] => 83
[5,2,7,6,8,3,4,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,4,5,2,7,3,6,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,3,7,4,5,2,8,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,3,4,2,8,5,6,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,3,6,5,8,2,7,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,2,7,4,5,3,6,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,2,8,4,5,3,6,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,3,8,2,7,4,5,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[3,2,8,4,7,5,6,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,3,6,2,7,4,5,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,2,3,5,6,7,8,9,10,1] => 100000001 => [1,7,1] => 65
[1,7,8,4,3,6,5,2] => 0011011 => [2,2,1,2] => 180
[1,7,8,3,6,5,4,2] => 0010111 => [2,1,1,3] => 117
[6,4,5,8,7,2,1,3] => 1001110 => [1,2,3,1] => 185
[5,8,1,7,2,4,3,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,5,7,3,8,1,4,6] => 0010100 => [2,1,1,1,2] => 207
[8,3,5,2,1,6,7,4] => 1011001 => [1,1,2,2,1] => 295
[2,6,4,7,1,8,5,3] => 0101011 => [1,1,1,1,1,2] => 297
[1,6,5,7,3,8,2,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,8,5,3,7,6,2,4] => 0110110 => [1,2,1,2,1] => 281
[6,4,2,3,8,7,5,1] => 1100111 => [2,2,3] => 105
[6,1,4,2,7,8,3,5] => 1010010 => [1,1,1,2,1,1] => 359
[6,5,1,3,7,8,4,2] => 1100011 => [2,3,2] => 126
[5,1,3,2,7,8,6,4] => 1010011 => [1,1,1,2,2] => 255
[6,7,4,2,3,8,5,1] => 0110011 => [1,2,2,2] => 211
[5,8,7,3,2,4,6,1] => 0111001 => [1,3,2,1] => 185
[5,1,3,2,6,8,4,7] => 1010010 => [1,1,1,2,1,1] => 359
[5,7,1,4,6,8,2,3] => 0100010 => [1,1,3,1,1] => 233
[2,4,1,7,5,6,3,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,4,3,7,6,2,8,5] => 0101101 => [1,1,1,2,1,1] => 359
[1,6,2,5,7,3,8,4] => 0100101 => [1,1,2,1,1,1] => 359
[1,4,3,8,2,5,7,6] => 0101001 => [1,1,1,1,2,1] => 345
[1,5,7,3,6,4,2,8] => 0010110 => [2,1,1,2,1] => 241
[1,6,7,2,4,8,3,5] => 0010010 => [2,1,2,1,1] => 252
[3,7,2,8,4,1,5,6] => 0101100 => [1,1,1,2,2] => 255
[2,4,1,5,3,6,8,7,9] => 01010010 => [1,1,1,1,2,1,1] => 1220
[2,4,1,7,3,8,5,6,9] => 01010100 => [1,1,1,1,1,1,2] => 1001
[5,3,4,1,7,8,6,2] => 1010011 => [1,1,1,2,2] => 255
[4,7,6,5,8,2,3,1] => 0110101 => [1,2,1,1,1,1] => 345
[2,3,8,4,5,7,1,6] => 0010010 => [2,1,2,1,1] => 252
[4,1,8,3,2,6,5,7] => 1011010 => [1,1,2,1,1,1] => 359
[1,2,6,8,4,3,5,7] => 0001100 => [3,2,2] => 105
[7,2,6,3,1,8,4,5] => 1011010 => [1,1,2,1,1,1] => 359
[5,8,4,1,3,7,2,6] => 0110010 => [1,2,2,1,1] => 295
[3,4,2,1,6,8,5,7] => 0110010 => [1,2,2,1,1] => 295
[8,1,3,5,6,4,7,2] => 1000101 => [1,3,1,1,1] => 219
[3,4,7,1,5,6,2,8] => 0010010 => [2,1,2,1,1] => 252
[4,8,2,6,5,3,7,1] => 0101101 => [1,1,1,2,1,1] => 359
[4,8,7,2,5,6,1,3] => 0110010 => [1,2,2,1,1] => 295
[5,8,6,4,7,3,2,1] => 0110111 => [1,2,1,3] => 137
[8,5,2,3,1,6,7,4] => 1101001 => [2,1,1,2,1] => 241
[2,8,6,3,5,1,7,4] => 0110101 => [1,2,1,1,1,1] => 345
[8,3,2,6,4,1,7,5] => 1101101 => [2,1,2,1,1] => 252
[8,4,1,5,3,6,7,2] => 1101001 => [2,1,1,2,1] => 241
[8,3,5,1,4,6,7,2] => 1010001 => [1,1,1,3,1] => 219
[8,5,1,3,4,6,7,2] => 1100001 => [2,4,1] => 81
[3,8,6,2,5,4,7,1] => 0110101 => [1,2,1,1,1,1] => 345
[3,8,4,6,5,2,7,1] => 0101101 => [1,1,1,2,1,1] => 359
[8,1,7,4,2,5,3,6] => 1011010 => [1,1,2,1,1,1] => 359
[8,3,2,5,1,4,7,6] => 1101001 => [2,1,1,2,1] => 241
[8,4,5,1,2,6,7,3] => 1010001 => [1,1,1,3,1] => 219
[8,1,5,3,2,6,7,4] => 1011001 => [1,1,2,2,1] => 295
[8,1,5,2,4,6,7,3] => 1010001 => [1,1,1,3,1] => 219
[5,2,6,4,1,3,8,7] => 1011001 => [1,1,2,2,1] => 295
[7,1,3,5,2,8,6,4] => 1001011 => [1,2,1,1,2] => 241
[8,6,4,7,1,3,5,2] => 1101001 => [2,1,1,2,1] => 241
[6,8,4,3,2,1,7,5] => 0111101 => [1,4,1,1] => 107
[2,1,8,5,4,3,7,6] => 1011101 => [1,1,3,1,1] => 233
[6,2,8,5,4,1,3,7] => 1011100 => [1,1,3,2] => 171
[6,4,8,5,3,2,7,1] => 1011101 => [1,1,3,1,1] => 233
[9,10,6,7,4,5,2,3,1,8] => 010101010 => [1,1,1,1,1,1,1,1,1] => 4862
[8,5,4,6,2,7,1,3] => 1101010 => [2,1,1,1,1,1] => 297
[6,8,5,4,7,2,3,1] => 0110101 => [1,2,1,1,1,1] => 345
[2,5,7,3,4,8,1,6] => 0010010 => [2,1,2,1,1] => 252
[5,2,4,7,8,1,3,6] => 1000100 => [1,3,1,2] => 157
[8,5,9,3,6,1,2,4,7] => 10101000 => [1,1,1,1,1,3] => 572
[9,7,1,5,8,3,6,2,4] => 11001010 => [2,2,1,1,1,1] => 875
[9,7,5,4,1,3,8,2,6] => 11110010 => [4,2,1,1] => 250
[8,9,4,5,10,1,2,3,6,7] => 010010000 => [1,1,2,1,4] => 901
[8,4,3,9,10,1,2,5,6,7] => 110010000 => [2,2,1,4] => 666
[9,6,10,1,3,7,8,2,4,5] => 101000100 => [1,1,1,3,1,2] => 2256
[9,10,6,7,4,5,1,2,3,8] => 010101000 => [1,1,1,1,1,1,3] => 2002
[9,6,4,10,3,7,1,2,5,8] => 110101000 => [2,1,1,1,1,3] => 1430
[10,1,8,9,6,7,4,5,2,3] => 100101010 => [1,2,1,1,1,1,1,1] => 4004
[10,8,6,1,4,9,3,7,2,5] => 111001010 => [3,2,1,1,1,1] => 1834
[10,8,6,5,4,1,3,9,2,7] => 111110010 => [5,2,1,1] => 399
[10,8,7,6,5,4,3,1,2,9] => 111111100 => [7,2] => 36
[4,8,5,6,1,2,7,3] => 0101001 => [1,1,1,1,2,1] => 345
[2,5,6,8,7,1,4,3] => 0001101 => [3,2,1,1] => 145
[1,7,8,5,4,6,2,3] => 0011010 => [2,2,1,1,1] => 255
[4,6,8,1,5,2,7,3] => 0010101 => [2,1,1,1,1,1] => 297
[5,3,8,1,2,6,7,4] => 1010001 => [1,1,1,3,1] => 219
[8,2,3,6,4,1,7,5] => 1001101 => [1,2,2,1,1] => 295
[2,3,7,5,8,6,1,4] => 0010110 => [2,1,1,2,1] => 241
[3,8,5,1,2,4,7,6] => 0110001 => [1,2,3,1] => 185
[1,3,6,4,8,2,7,5] => 0010101 => [2,1,1,1,1,1] => 297
[1,2,3,4,6,5,7,8,9,10] => 000010000 => [4,1,4] => 251
[1,2,3,4,5,6,8,7,9,10] => 000000100 => [6,1,2] => 119
[1,7,6,2,8,5,3,4] => 0110110 => [1,2,1,2,1] => 281
[1,5,8,6,4,7,2,3] => 0011010 => [2,2,1,1,1] => 255
[5,6,2,8,1,7,3,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[6,8,4,5,1,3,7,2] => 0101001 => [1,1,1,1,2,1] => 345
[5,2,3,8,1,4,6,7] => 1001000 => [1,2,1,3] => 137
[1,6,8,3,2,4,5,7] => 0011000 => [2,2,3] => 105
[9,6,5,4,3,2,1,7,8] => 11111100 => [6,2] => 28
[10,7,6,5,4,3,2,1,8,9] => 111111100 => [7,2] => 36
[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] => 165
[6,2,5,3,7,4,8,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,5,4,2,6,3,7,1] => 1110101 => [3,1,1,1,1] => 165
[8,5,3,2,6,4,7,1] => 1110101 => [3,1,1,1,1] => 165
[7,4,6,5,8,2,3,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,3,6,5,8,2,4,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,3,6,4,8,2,5,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,3,5,4,8,2,6,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,3,6,8,4,5,1,2] => 1001010 => [1,2,1,1,1,1] => 345
[1,6,5,7,4,2,8,3] => 0101101 => [1,1,1,2,1,1] => 359
[1,2,7,4,8,5,6,3] => 0010101 => [2,1,1,1,1,1] => 297
[2,6,7,4,8,5,1,3] => 0010110 => [2,1,1,2,1] => 241
[2,5,8,6,4,3,7,1] => 0011101 => [2,3,1,1] => 171
[6,4,2,5,7,1,8,3] => 1100101 => [2,2,1,1,1] => 255
[2,7,5,4,6,8,1,3] => 0110010 => [1,2,2,1,1] => 295
[9,1,2,3,4,5,8,7,6] => 10000011 => [1,5,2] => 133
[9,1,2,3,4,8,6,7,5] => 10000101 => [1,4,1,1,1] => 410
[8,1,4,7,3,5,6,2] => 1001001 => [1,2,1,2,1] => 281
[9,1,2,8,4,5,6,7,3] => 10010001 => [1,2,1,3,1] => 646
[8,3,7,2,4,5,6,1] => 1010001 => [1,1,1,3,1] => 219
[9,1,8,3,4,5,6,7,2] => 10100001 => [1,1,1,4,1] => 410
[10,1,2,3,4,5,6,9,8,7] => 100000011 => [1,6,2] => 204
[9,1,2,3,4,7,8,6,5] => 10000011 => [1,5,2] => 133
[10,1,2,3,4,5,9,7,8,6] => 100000101 => [1,5,1,1,1] => 704
[9,1,2,3,6,8,5,7,4] => 10000101 => [1,4,1,1,1] => 410
[9,1,2,5,8,4,6,7,3] => 10001001 => [1,3,1,2,1] => 646
[10,1,2,3,9,5,6,7,8,4] => 100010001 => [1,3,1,3,1] => 1622
[8,1,4,5,7,3,6,2] => 1000101 => [1,3,1,1,1] => 219
[9,1,4,8,3,5,6,7,2] => 10010001 => [1,2,1,3,1] => 646
[10,1,2,9,4,5,6,7,8,3] => 100100001 => [1,2,1,4,1] => 1315
[9,3,8,2,4,5,6,7,1] => 10100001 => [1,1,1,4,1] => 410
[5,6,3,4,2,8,7,1] => 0101011 => [1,1,1,1,1,2] => 297
[2,5,7,4,6,8,1,3] => 0010010 => [2,1,2,1,1] => 252
[2,5,6,4,1,3,8,7] => 0011001 => [2,2,2,1] => 211
[4,6,1,3,5,7,2,8] => 0100010 => [1,1,3,1,1] => 233
[3,2,7,5,8,1,6,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,3,6,8,5,2,1,7] => 1001110 => [1,2,3,1] => 185
[4,5,3,2,1,8,6,7] => 0111010 => [1,3,1,1,1] => 219
[3,6,5,8,1,7,4,2] => 0101011 => [1,1,1,1,1,2] => 297
[4,1,6,8,5,2,3,7] => 1001100 => [1,2,2,2] => 211
[4,5,2,8,6,7,1,3] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,5,2,8,6,7,3,1] => 0101011 => [1,1,1,1,1,2] => 297
[3,5,8,6,2,4,7,1] => 0011001 => [2,2,2,1] => 211
[2,5,1,6,4,8,3,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,2,4,5,8,6,1,7] => 1000110 => [1,3,2,1] => 185
[4,5,2,1,3,8,6,7] => 0110010 => [1,2,2,1,1] => 295
[4,2,3,6,8,5,1,7] => 1000110 => [1,3,2,1] => 185
[4,5,1,3,2,8,6,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,4,5,8,6,1,7,2] => 0001101 => [3,2,1,1] => 145
[3,4,5,8,6,1,2,7] => 0001100 => [3,2,2] => 105
[6,4,1,3,7,8,2,5] => 1100010 => [2,3,1,1] => 171
[6,3,1,2,5,4,8,7] => 1100101 => [2,2,1,1,1] => 255
[7,3,1,2,5,4,8,6] => 1100101 => [2,2,1,1,1] => 255
[8,2,6,4,1,3,7,5] => 1011001 => [1,1,2,2,1] => 295
[1,5,8,2,4,3,7,6] => 0010101 => [2,1,1,1,1,1] => 297
[4,3,7,8,2,6,5,1] => 1001011 => [1,2,1,1,2] => 241
[3,8,5,1,2,6,7,4] => 0110001 => [1,2,3,1] => 185
[2,4,7,8,3,6,5,1] => 0001011 => [3,1,1,2] => 117
[5,4,7,8,3,6,1,2] => 1001010 => [1,2,1,1,1,1] => 345
[6,8,1,3,2,5,7,4] => 0101001 => [1,1,1,1,2,1] => 345
[1,4,8,5,7,2,3,6] => 0010100 => [2,1,1,1,2] => 207
[1,8,7,3,2,4,5,6] => 0111000 => [1,3,3] => 95
[8,6,2,7,3,4,1,5] => 1101010 => [2,1,1,1,1,1] => 297
[8,6,2,7,3,4,5,1] => 1101001 => [2,1,1,2,1] => 241
[5,6,3,2,8,7,1,4] => 0110110 => [1,2,1,2,1] => 281
[5,1,6,7,8,3,2,4] => 1000110 => [1,3,2,1] => 185
[1,5,6,3,7,2,4,8] => 0010100 => [2,1,1,1,2] => 207
[1,5,6,7,4,2,3,8] => 0001100 => [3,2,2] => 105
[5,1,6,7,3,4,2,8] => 1001010 => [1,2,1,1,1,1] => 345
[8,6,1,7,3,4,5,2] => 1101001 => [2,1,1,2,1] => 241
[6,8,5,1,7,4,2,3] => 0110110 => [1,2,1,2,1] => 281
[8,4,2,3,5,7,6,1] => 1100011 => [2,3,2] => 126
[4,8,5,2,3,1,6,7] => 0110100 => [1,2,1,1,2] => 241
[5,4,8,3,1,2,6,7] => 1011000 => [1,1,2,3] => 145
[8,4,7,3,2,5,6,1] => 1011001 => [1,1,2,2,1] => 295
[6,8,5,1,7,3,4,2] => 0110101 => [1,2,1,1,1,1] => 345
[6,2,7,3,8,1,4,5] => 1010100 => [1,1,1,1,1,2] => 297
[8,4,2,6,7,1,5,3] => 1100101 => [2,2,1,1,1] => 255
[1,7,8,3,6,5,2,4] => 0010110 => [2,1,1,2,1] => 241
[4,6,7,5,1,8,2,3] => 0011010 => [2,2,1,1,1] => 255
[3,5,2,6,8,7,4,1] => 0100111 => [1,1,2,3] => 145
[7,3,6,8,4,1,2,5] => 1001100 => [1,2,2,2] => 211
[6,4,2,3,7,5,8,1] => 1100101 => [2,2,1,1,1] => 255
[6,3,7,5,1,2,8,4] => 1011001 => [1,1,2,2,1] => 295
[7,2,5,4,8,6,3,1] => 1010111 => [1,1,1,1,3] => 165
[6,2,3,8,7,4,5,1] => 1001101 => [1,2,2,1,1] => 295
[7,1,2,8,4,6,5,3] => 1001011 => [1,2,1,1,2] => 241
[3,5,8,1,2,7,6,4] => 0010011 => [2,1,2,2] => 180
[1,4,3,6,8,5,2,7] => 0100110 => [1,1,2,2,1] => 295
[7,6,2,8,5,3,4,1] => 1101101 => [2,1,2,1,1] => 252
[6,8,3,5,4,7,2,1] => 0101011 => [1,1,1,1,1,2] => 297
[8,2,7,6,4,1,3,5] => 1011100 => [1,1,3,2] => 171
[8,3,7,5,1,6,2,4] => 1011010 => [1,1,2,1,1,1] => 359
[8,5,7,1,4,2,6,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,7,1,5,6,3,2,8] => 0100110 => [1,1,2,2,1] => 295
[4,5,7,1,6,3,8,2] => 0010101 => [2,1,1,1,1,1] => 297
[3,9,2,1,4,5,6,7,8] => 01100000 => [1,2,5] => 98
[4,6,5,7,2,3,8,1] => 0101001 => [1,1,1,1,2,1] => 345
[3,6,7,2,5,8,4,1] => 0010011 => [2,1,2,2] => 180
[5,3,6,7,4,8,1,2] => 1001010 => [1,2,1,1,1,1] => 345
[4,2,7,8,3,6,5,1] => 1001011 => [1,2,1,1,2] => 241
[4,2,7,8,5,6,1,3] => 1001010 => [1,2,1,1,1,1] => 345
[5,4,3,7,8,1,6,2] => 1100101 => [2,2,1,1,1] => 255
[3,5,7,8,4,2,1,6] => 0001110 => [3,3,1] => 95
[4,6,7,3,2,8,1,5] => 0011010 => [2,2,1,1,1] => 255
[4,6,5,3,7,8,1,2] => 0110010 => [1,2,2,1,1] => 295
[5,6,2,4,7,8,3,1] => 0100011 => [1,1,3,2] => 171
[5,6,3,2,8,4,7,1] => 0110101 => [1,2,1,1,1,1] => 345
[5,6,2,8,3,4,7,1] => 0101001 => [1,1,1,1,2,1] => 345
[3,7,4,8,1,6,5,2] => 0101011 => [1,1,1,1,1,2] => 297
[5,2,4,8,6,7,3,1] => 1001011 => [1,2,1,1,2] => 241
[5,2,6,4,8,7,3,1] => 1010111 => [1,1,1,1,3] => 165
[2,4,7,8,6,5,1,3] => 0001110 => [3,3,1] => 95
[3,4,5,6,8,9,1,7,2] => 00000101 => [5,1,1,1] => 110
[3,4,6,7,8,9,1,5,2] => 00000101 => [5,1,1,1] => 110
[3,5,6,7,8,9,1,4,2] => 00000101 => [5,1,1,1] => 110
[4,5,6,7,8,9,1,3,2] => 00000101 => [5,1,1,1] => 110
[3,4,5,6,7,9,10,1,8,2] => 000000101 => [6,1,1,1] => 154
[3,4,5,7,8,9,10,1,6,2] => 000000101 => [6,1,1,1] => 154
[5,2,6,7,8,1,4,3] => 1000101 => [1,3,1,1,1] => 219
[3,4,6,7,8,9,10,1,5,2] => 000000101 => [6,1,1,1] => 154
[4,5,6,7,8,9,10,1,3,2] => 000000101 => [6,1,1,1] => 154
[4,8,2,7,5,3,1,6] => 0101110 => [1,1,1,3,1] => 219
[1,2,4,6,5,8,3,7] => 0001010 => [3,1,1,1,1] => 165
[5,4,2,3,1,7,8,6] => 1101001 => [2,1,1,2,1] => 241
[3,5,8,1,7,4,2,6] => 0010110 => [2,1,1,2,1] => 241
[5,8,6,1,7,2,3,4] => 0110100 => [1,2,1,1,2] => 241
[5,1,4,3,8,2,6,7] => 1010100 => [1,1,1,1,1,2] => 297
[8,4,7,5,6,2,1,3] => 1010110 => [1,1,1,1,2,1] => 345
[3,8,6,7,5,2,4,1] => 0101101 => [1,1,1,2,1,1] => 359
[8,2,5,4,7,3,6,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,2,8,7,3,6,5,1] => 1011011 => [1,1,2,1,2] => 252
[3,7,8,6,1,4,5,2] => 0011001 => [2,2,2,1] => 211
[4,6,7,8,2,1,5,3] => 0001101 => [3,2,1,1] => 145
[4,7,6,3,8,1,5,2] => 0110101 => [1,2,1,1,1,1] => 345
[3,8,1,4,6,2,5,7] => 0100100 => [1,1,2,1,2] => 252
[2,4,5,3,8,7,1,6] => 0010110 => [2,1,1,2,1] => 241
[4,7,5,6,2,8,1,3] => 0101010 => [1,1,1,1,1,1,1] => 429
[8,7,5,1,6,3,2,4] => 1110110 => [3,1,2,1] => 137
[7,8,6,2,3,5,1,4] => 0110010 => [1,2,2,1,1] => 295
[2,8,4,6,7,3,5,1] => 0100101 => [1,1,2,1,1,1] => 359
[4,1,6,7,8,2,5,3] => 1000101 => [1,3,1,1,1] => 219
[8,6,3,4,1,2,7,5] => 1101001 => [2,1,1,2,1] => 241
[2,5,8,4,6,1,3,7] => 0010100 => [2,1,1,1,2] => 207
[4,7,8,6,5,1,3,2] => 0011101 => [2,3,1,1] => 171
[8,4,6,7,3,5,2,1] => 1001011 => [1,2,1,1,2] => 241
[6,8,4,7,3,5,2,1] => 0101011 => [1,1,1,1,1,2] => 297
[7,4,5,8,3,6,2,1] => 1001011 => [1,2,1,1,2] => 241
[8,4,7,3,5,6,2,1] => 1010011 => [1,1,1,2,2] => 255
[3,6,4,2,8,1,7,5] => 0110101 => [1,2,1,1,1,1] => 345
[8,4,6,2,1,7,3,5] => 1011010 => [1,1,2,1,1,1] => 359
[3,8,6,2,1,7,4,5] => 0111010 => [1,3,1,1,1] => 219
[3,1,8,2,4,6,5,7] => 1010010 => [1,1,1,2,1,1] => 359
[8,1,7,6,2,5,4,3] => 1011011 => [1,1,2,1,2] => 252
[8,5,4,3,7,6,1,2] => 1110110 => [3,1,2,1] => 137
[4,8,1,3,6,7,5,2] => 0100011 => [1,1,3,2] => 171
[3,5,8,6,1,7,4,2] => 0011011 => [2,2,1,2] => 180
[8,1,4,7,5,2,6,3] => 1001101 => [1,2,2,1,1] => 295
[1,4,8,6,7,3,5,2] => 0010101 => [2,1,1,1,1,1] => 297
[4,1,6,7,8,5,3,2] => 1000111 => [1,3,3] => 95
[3,7,8,6,4,1,5,2] => 0011101 => [2,3,1,1] => 171
[5,4,2,3,6,7,8,9,1] => 11000001 => [2,5,1] => 133
[6,5,4,2,3,7,8,9,1] => 11100001 => [3,4,1] => 196
[7,6,5,4,2,3,8,9,1] => 11110001 => [4,3,1] => 175
[4,6,1,5,7,2,3,8] => 0100100 => [1,1,2,1,2] => 252
[4,8,5,3,2,7,1,6] => 0111010 => [1,3,1,1,1] => 219
[5,4,8,1,3,7,2,6] => 1010010 => [1,1,1,2,1,1] => 359
[8,4,5,3,1,7,2,6] => 1011010 => [1,1,2,1,1,1] => 359
[7,4,5,3,1,8,6,2] => 1011011 => [1,1,2,1,2] => 252
[5,6,8,7,2,4,3,1] => 0011011 => [2,2,1,2] => 180
[5,7,8,6,4,2,3,1] => 0011101 => [2,3,1,1] => 171
[6,8,7,5,1,3,2,4] => 0111010 => [1,3,1,1,1] => 219
[3,8,2,6,7,5,1,4] => 0100110 => [1,1,2,2,1] => 295
[4,7,6,3,8,2,5,1] => 0110101 => [1,2,1,1,1,1] => 345
[6,7,4,1,8,2,5,3] => 0110101 => [1,2,1,1,1,1] => 345
[5,7,6,8,3,2,4,1] => 0101101 => [1,1,1,2,1,1] => 359
[7,6,4,2,8,1,5,3] => 1110101 => [3,1,1,1,1] => 165
[6,3,4,8,7,1,2,5] => 1001100 => [1,2,2,2] => 211
[2,7,4,8,1,6,3,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,3,1,6,7,8,2,4] => 1100010 => [2,3,1,1] => 171
[3,4,7,8,6,1,2,5] => 0001100 => [3,2,2] => 105
[2,1,4,7,8,6,3,5] => 1000110 => [1,3,2,1] => 185
[2,4,5,8,1,6,3,7] => 0001010 => [3,1,1,1,1] => 165
[3,4,6,8,2,5,7,1] => 0001001 => [3,1,2,1] => 137
[1,8,5,6,4,2,3,7] => 0101100 => [1,1,1,2,2] => 255
[1,8,7,6,2,4,5,3] => 0111001 => [1,3,2,1] => 185
[6,4,8,5,7,3,1,2] => 1010110 => [1,1,1,1,2,1] => 345
[1,6,4,7,2,5,8,3] => 0101001 => [1,1,1,1,2,1] => 345
[2,7,5,1,8,6,3,4] => 0110110 => [1,2,1,2,1] => 281
[4,7,1,6,5,3,8,2] => 0101101 => [1,1,1,2,1,1] => 359
[1,7,5,6,4,8,2,3] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,4,8,5,7,3,1,6] => 0010110 => [2,1,1,2,1] => 241
[8,3,1,4,6,2,7,5] => 1100101 => [2,2,1,1,1] => 255
[7,2,6,4,5,8,1,3] => 1010010 => [1,1,1,2,1,1] => 359
[7,2,5,4,6,8,1,3] => 1010010 => [1,1,1,2,1,1] => 359
[4,6,7,8,9,1,2,3,5] => 00001000 => [4,1,3] => 125
[5,7,8,9,1,2,3,4,6] => 00010000 => [3,1,4] => 125
[6,4,5,7,3,8,2,9,1,10] => 100101010 => [1,2,1,1,1,1,1,1] => 4004
[2,7,1,5,3,8,6,4] => 0101011 => [1,1,1,1,1,2] => 297
[3,5,7,2,8,4,1,6] => 0010110 => [2,1,1,2,1] => 241
[2,4,3,8,5,1,7,6] => 0101101 => [1,1,1,2,1,1] => 359
[7,3,2,1,4,8,6,5] => 1110011 => [3,2,2] => 105
[2,8,3,4,1,7,6,5] => 0101011 => [1,1,1,1,1,2] => 297
[4,7,6,8,2,5,3,1] => 0101011 => [1,1,1,1,1,2] => 297
[2,6,7,1,4,5,8,3] => 0010001 => [2,1,3,1] => 157
[8,7,2,6,1,5,3,4] => 1101010 => [2,1,1,1,1,1] => 297
[7,1,3,8,2,6,4,5] => 1001010 => [1,2,1,1,1,1] => 345
[6,2,5,3,4,7,1,8] => 1010010 => [1,1,1,2,1,1] => 359
[2,7,3,4,1,5,8,6] => 0101001 => [1,1,1,1,2,1] => 345
[2,5,8,1,6,7,3,4] => 0010010 => [2,1,2,1,1] => 252
[6,2,8,3,4,5,1,7] => 1010010 => [1,1,1,2,1,1] => 359
[7,3,4,6,8,2,1,5] => 1000110 => [1,3,2,1] => 185
[5,1,3,7,2,8,4,6] => 1001010 => [1,2,1,1,1,1] => 345
[5,2,4,6,1,7,8,3] => 1001001 => [1,2,1,2,1] => 281
[3,8,4,6,1,5,7,2] => 0101001 => [1,1,1,1,2,1] => 345
[8,7,3,2,5,1,6,4] => 1110101 => [3,1,1,1,1] => 165
[3,6,4,1,2,5,8,7] => 0110001 => [1,2,3,1] => 185
[5,2,7,1,4,3,6,8] => 1010100 => [1,1,1,1,1,2] => 297
[6,3,1,4,2,5,8,7] => 1101001 => [2,1,1,2,1] => 241
[5,2,3,1,4,6,8,7] => 1010001 => [1,1,1,3,1] => 219
[4,2,7,1,3,5,8,6] => 1010001 => [1,1,1,3,1] => 219
[3,5,4,1,6,2,8,7] => 0110101 => [1,2,1,1,1,1] => 345
[4,5,7,2,8,3,1,6] => 0010110 => [2,1,1,2,1] => 241
[3,5,1,7,6,2,8,4] => 0101101 => [1,1,1,2,1,1] => 359
[8,3,6,2,7,5,4,1] => 1010111 => [1,1,1,1,3] => 165
[8,4,2,6,5,3,7,1] => 1101101 => [2,1,2,1,1] => 252
[5,4,2,7,1,8,6,3] => 1101011 => [2,1,1,1,2] => 207
[4,1,7,6,5,3,2,8] => 1011110 => [1,1,4,1] => 107
[2,3,6,7,1,8,5,4] => 0001011 => [3,1,1,2] => 117
[3,6,1,2,7,8,5,4] => 0100011 => [1,1,3,2] => 171
[4,5,1,8,7,6,3,2] => 0101111 => [1,1,1,4] => 75
[8,4,5,2,7,6,3,1] => 1010111 => [1,1,1,1,3] => 165
[4,1,3,6,7,5,2,8] => 1000110 => [1,3,2,1] => 185
[3,1,4,5,7,6,2,8] => 1000110 => [1,3,2,1] => 185
[4,5,1,3,6,8,7,2] => 0100011 => [1,1,3,2] => 171
[3,8,5,1,2,4,6,7] => 0110000 => [1,2,4] => 65
[8,5,1,2,4,3,6,7] => 1100100 => [2,2,1,2] => 180
[5,8,4,1,2,3,6,7] => 0110000 => [1,2,4] => 65
[3,5,8,1,4,2,7,6] => 0010101 => [2,1,1,1,1,1] => 297
[2,8,5,7,1,4,3,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,8,7,5,1,2,3,6] => 0111000 => [1,3,3] => 95
[8,1,2,4,6,3,7,5] => 1000101 => [1,3,1,1,1] => 219
[7,6,1,4,2,3,8,5] => 1101001 => [2,1,1,2,1] => 241
[6,1,2,7,8,4,3,5] => 1000110 => [1,3,2,1] => 185
[7,8,1,2,5,3,4,6] => 0100100 => [1,1,2,1,2] => 252
[1,8,4,7,5,2,3,6] => 0101100 => [1,1,1,2,2] => 255
[8,4,7,2,1,6,3,5] => 1011010 => [1,1,2,1,1,1] => 359
[4,5,8,2,1,6,7,3] => 0011001 => [2,2,2,1] => 211
[7,4,2,5,3,6,1,8] => 1101010 => [2,1,1,1,1,1] => 297
[3,1,6,7,5,2,4,8] => 1001100 => [1,2,2,2] => 211
[8,4,2,5,3,6,7,1] => 1101001 => [2,1,1,2,1] => 241
[4,8,1,5,3,6,7,2] => 0101001 => [1,1,1,1,2,1] => 345
[4,1,7,5,2,6,3,8] => 1011010 => [1,1,2,1,1,1] => 359
[5,1,4,6,3,7,8,2] => 1001001 => [1,2,1,2,1] => 281
[7,1,5,3,6,8,2,4] => 1010010 => [1,1,1,2,1,1] => 359
[8,1,5,3,6,7,2,4] => 1010010 => [1,1,1,2,1,1] => 359
[3,6,5,2,4,7,8,1] => 0110001 => [1,2,3,1] => 185
[1,7,5,4,6,8,2,3] => 0110010 => [1,2,2,1,1] => 295
[4,7,8,2,5,6,1,3] => 0010010 => [2,1,2,1,1] => 252
[2,8,5,4,6,7,1,3] => 0110010 => [1,2,2,1,1] => 295
[7,5,1,3,2,6,4,8,9] => 11010100 => [2,1,1,1,1,2] => 704
[9,6,1,3,4,2,7,8,5] => 11001001 => [2,2,1,2,1] => 725
[8,3,6,1,4,2,7,5,9] => 10101010 => [1,1,1,1,1,1,1,1] => 1430
[9,8,1,7,2,3,4,5,6] => 11010000 => [2,1,1,4] => 200
[9,3,4,7,1,5,2,8,6] => 10010101 => [1,2,1,1,1,1,1] => 1166
[7,5,1,3,2,6,4,8,9,10] => 110101000 => [2,1,1,1,1,3] => 1430
[9,6,1,3,4,2,7,8,5,10] => 110010010 => [2,2,1,2,1,1] => 2661
[8,3,6,1,4,2,7,5,9,10] => 101010100 => [1,1,1,1,1,1,1,2] => 3432
[10,1,8,3,2,5,7,4,9,6] => 101100101 => [1,1,2,2,1,1,1] => 3754
[10,3,7,1,4,5,2,8,9,6] => 101001001 => [1,1,1,2,1,2,1] => 3556
[9,3,4,7,1,5,2,8,6,10] => 100101010 => [1,2,1,1,1,1,1,1] => 4004
[7,10,1,3,8,2,6,5,9,4] => 010010101 => [1,1,2,1,1,1,1,1] => 4202
[10,9,5,1,8,2,4,3,6,7] => 111010100 => [3,1,1,1,1,2] => 1430
[10,3,4,5,8,1,6,2,9,7] => 100010101 => [1,3,1,1,1,1,1] => 2717
[4,5,2,6,1,8,3,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,1,8,6,7,3,4,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,8,3,2,4,1,5,7] => 0110100 => [1,2,1,1,2] => 241
[5,4,8,2,1,3,6,7] => 1011000 => [1,1,2,3] => 145
[1,4,8,3,2,6,5,7] => 0011010 => [2,2,1,1,1] => 255
[1,3,8,4,2,7,5,6] => 0011010 => [2,2,1,1,1] => 255
[7,2,8,3,1,4,5,6] => 1011000 => [1,1,2,3] => 145
[8,1,3,2,7,5,4,6] => 1010110 => [1,1,1,1,2,1] => 345
[9,8,7,5,6,4,3,2,10,1] => 111011101 => [3,1,3,1,1] => 1330
[8,7,5,4,6,3,2,9,1] => 11101101 => [3,1,2,1,1] => 502
[8,7,4,6,5,3,2,9,1] => 11011101 => [2,1,3,1,1] => 609
[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] => 200
[2,3,4,5,1,9,8,7,6] => 00010111 => [3,1,1,3] => 242
[2,3,4,5,6,9,10,8,7,1] => 000000111 => [6,3] => 84
[2,3,4,1,8,9,7,6,5] => 00100111 => [2,1,2,3] => 371
[2,3,4,5,8,9,10,7,6,1] => 000000111 => [6,3] => 84
[2,3,1,7,8,9,6,5,4] => 01000111 => [1,1,3,3] => 376
[2,3,4,7,8,9,10,6,5,1] => 000000111 => [6,3] => 84
[2,1,6,7,8,9,5,4,3] => 10000111 => [1,4,3] => 196
[2,3,6,7,8,9,10,5,4,1] => 000000111 => [6,3] => 84
[2,5,6,7,8,9,10,4,3,1] => 000000111 => [6,3] => 84
[9,10,2,4,6,8,1,3,5,7] => 010001000 => [1,1,3,1,3] => 1330
[7,8,2,4,6,10,1,3,5,9] => 010001000 => [1,1,3,1,3] => 1330
[9,7,10,2,4,6,8,1,3,5] => 101000100 => [1,1,1,3,1,2] => 2256
[8,9,10,7,2,4,6,1,3,5] => 001100100 => [2,2,2,1,2] => 1963
[5,6,2,4,8,10,1,3,7,9] => 010001000 => [1,1,3,1,3] => 1330
[5,6,9,10,2,4,8,1,3,7] => 000100100 => [3,1,2,1,2] => 1304
[7,5,8,2,4,6,10,1,3,9] => 101000100 => [1,1,1,3,1,2] => 2256
[7,9,5,10,2,4,6,8,1,3] => 010100010 => [1,1,1,1,3,1,1] => 3014
[5,8,9,10,7,2,4,6,1,3] => 000110010 => [3,2,2,1,1] => 1634
[6,7,8,5,2,4,10,1,3,9] => 001100100 => [2,2,2,1,2] => 1963
[9,6,7,5,10,2,4,8,1,3] => 101010010 => [1,1,1,1,1,2,1,1] => 4202
[8,9,6,10,5,7,2,4,1,3] => 010101010 => [1,1,1,1,1,1,1,1,1] => 4862
[7,8,9,10,6,5,2,4,1,3] => 000111010 => [3,3,1,1,1] => 1414
[3,4,2,6,8,10,1,5,7,9] => 010001000 => [1,1,3,1,3] => 1330
[3,4,9,10,2,6,8,1,5,7] => 000100100 => [3,1,2,1,2] => 1304
[3,4,7,8,2,6,10,1,5,9] => 000100100 => [3,1,2,1,2] => 1304
[9,3,4,7,10,2,6,8,1,5] => 100010010 => [1,3,1,2,1,1] => 2407
[8,9,10,3,4,7,2,6,1,5] => 001001010 => [2,1,2,1,1,1,1] => 3054
[5,3,6,2,4,8,10,1,7,9] => 101000100 => [1,1,1,3,1,2] => 2256
[5,3,6,9,10,2,4,8,1,7] => 100010010 => [1,3,1,2,1,1] => 2407
[5,7,3,8,2,4,6,10,1,9] => 010100010 => [1,1,1,1,3,1,1] => 3014
[5,7,9,3,10,2,4,6,8,1] => 001010001 => [2,1,1,1,3,1] => 1947
[8,5,9,10,3,7,2,4,6,1] => 100101001 => [1,2,1,1,1,2,1] => 3314
[3,6,7,8,5,2,4,10,1,9] => 000110010 => [3,2,2,1,1] => 1634
[9,3,6,7,5,10,2,4,8,1] => 100101001 => [1,2,1,1,1,2,1] => 3314
[6,8,3,9,10,5,7,2,4,1] => 010010101 => [1,1,2,1,1,1,1,1] => 4202
[7,8,9,10,3,6,5,2,4,1] => 000101101 => [3,1,1,2,1,1] => 1762
[4,5,6,3,2,8,10,1,7,9] => 001100100 => [2,2,2,1,2] => 1963
[4,5,6,3,9,10,2,8,1,7] => 001001010 => [2,1,2,1,1,1,1] => 3054
[7,4,5,3,8,2,6,10,1,9] => 101010010 => [1,1,1,1,1,2,1,1] => 4202
[7,4,5,9,3,10,2,6,8,1] => 100101001 => [1,2,1,1,1,2,1] => 3314
[4,8,5,9,10,3,7,2,6,1] => 010010101 => [1,1,2,1,1,1,1,1] => 4202
[6,7,4,8,3,5,2,10,1,9] => 010101010 => [1,1,1,1,1,1,1,1,1] => 4862
[6,7,9,4,3,5,10,2,8,1] => 001100101 => [2,2,2,1,1,1] => 2728
[8,6,9,4,10,3,5,7,2,1] => 101010011 => [1,1,1,1,1,2,2] => 3036
[7,4,8,9,10,6,3,5,2,1] => 100011011 => [1,3,2,1,2] => 1794
[5,6,7,8,4,3,2,10,1,9] => 000111010 => [3,3,1,1,1] => 1414
[9,5,6,7,4,3,10,2,8,1] => 100110101 => [1,2,2,1,1,1,1] => 3584
[8,9,5,6,4,10,3,7,2,1] => 010101011 => [1,1,1,1,1,1,1,2] => 3432
[7,8,9,5,10,4,6,3,2,1] => 001010111 => [2,1,1,1,1,3] => 1430
[7,6,1,8,2,5,4,3] => 1101011 => [2,1,1,1,2] => 207
[8,4,1,6,7,3,5,2] => 1100101 => [2,2,1,1,1] => 255
[5,8,4,2,1,6,3,7] => 0111010 => [1,3,1,1,1] => 219
[7,6,4,1,2,5,3,8] => 1110010 => [3,2,1,1] => 145
[5,4,2,8,1,6,3,7] => 1101010 => [2,1,1,1,1,1] => 297
[8,7,2,6,4,5,3,1] => 1101011 => [2,1,1,1,2] => 207
[7,2,8,4,3,6,1,5] => 1011010 => [1,1,2,1,1,1] => 359
[1,7,5,4,8,6,2,3] => 0110110 => [1,2,1,2,1] => 281
[4,8,6,3,5,2,1,7] => 0110110 => [1,2,1,2,1] => 281
[5,8,6,3,2,7,1,4] => 0111010 => [1,3,1,1,1] => 219
[5,7,6,3,2,4,8,1] => 0111001 => [1,3,2,1] => 185
[5,7,3,2,8,6,4,1] => 0110111 => [1,2,1,3] => 137
[4,5,1,6,8,2,7,3] => 0100101 => [1,1,2,1,1,1] => 359
[1,2,4,5,6,8,10,9,3,7] => 000000110 => [6,2,1] => 140
[1,2,3,5,7,8,10,6,9,4] => 000000101 => [6,1,1,1] => 154
[1,2,4,5,7,8,10,3,9,6] => 000000101 => [6,1,1,1] => 154
[1,2,4,6,7,5,10,8,3,9] => 000010110 => [4,1,1,2,1] => 851
[1,3,4,2,7,8,10,5,9,6] => 001000101 => [2,1,3,1,1,1] => 2256
[1,3,4,6,7,2,10,8,5,9] => 000010110 => [4,1,1,2,1] => 851
[1,2,3,5,6,9,8,10,7,4] => 000001011 => [5,1,1,2] => 319
[1,2,4,5,6,9,8,10,3,7] => 000001010 => [5,1,1,1,1] => 429
[1,2,3,5,7,9,6,10,8,4] => 000001011 => [5,1,1,2] => 319
[1,2,4,5,7,9,3,10,8,6] => 000001011 => [5,1,1,2] => 319
[1,2,4,6,5,9,7,10,3,8] => 000101010 => [3,1,1,1,1,1,1] => 2002
[1,3,4,2,7,9,5,10,8,6] => 001001011 => [2,1,2,1,1,2] => 2179
[1,3,4,6,2,9,7,10,5,8] => 000101010 => [3,1,1,1,1,1,1] => 2002
[1,2,3,5,8,7,9,6,10,4] => 000010101 => [4,1,1,1,1,1] => 1001
[1,2,4,5,8,7,9,3,10,6] => 000010101 => [4,1,1,1,1,1] => 1001
[1,2,4,6,8,5,9,3,10,7] => 000010101 => [4,1,1,1,1,1] => 1001
[1,2,4,7,6,8,5,9,3,10] => 000101010 => [3,1,1,1,1,1,1] => 2002
[1,3,4,2,8,7,9,5,10,6] => 001010101 => [2,1,1,1,1,1,1,1] => 3432
[1,3,4,6,8,2,9,5,10,7] => 000010101 => [4,1,1,1,1,1] => 1001
[1,3,4,7,6,8,2,9,5,10] => 000101010 => [3,1,1,1,1,1,1] => 2002
[1,2,3,6,5,9,7,10,8,4] => 000101011 => [3,1,1,1,1,2] => 1430
[1,2,4,6,3,9,7,10,8,5] => 000101011 => [3,1,1,1,1,2] => 1430
[1,2,5,4,6,9,7,10,3,8] => 001001010 => [2,1,2,1,1,1,1] => 3054
[1,3,2,6,4,9,7,10,8,5] => 010101011 => [1,1,1,1,1,1,1,2] => 3432
[1,3,5,2,6,9,7,10,4,8] => 001001010 => [2,1,2,1,1,1,1] => 3054
[1,2,3,6,8,5,9,7,10,4] => 000010101 => [4,1,1,1,1,1] => 1001
[1,2,4,6,8,3,9,7,10,5] => 000010101 => [4,1,1,1,1,1] => 1001
[1,2,5,4,8,6,9,3,10,7] => 001010101 => [2,1,1,1,1,1,1,1] => 3432
[1,2,5,7,4,8,6,9,3,10] => 000101010 => [3,1,1,1,1,1,1] => 2002
[1,3,2,6,8,4,9,7,10,5] => 010010101 => [1,1,2,1,1,1,1,1] => 4202
[1,3,5,2,8,6,9,4,10,7] => 001010101 => [2,1,1,1,1,1,1,1] => 3432
[1,3,5,7,2,8,6,9,4,10] => 000101010 => [3,1,1,1,1,1,1] => 2002
[1,4,3,5,8,2,9,6,10,7] => 010010101 => [1,1,2,1,1,1,1,1] => 4202
[1,4,3,7,5,8,2,9,6,10] => 010101010 => [1,1,1,1,1,1,1,1,1] => 4862
[2,1,3,6,4,9,7,10,8,5] => 100101011 => [1,2,1,1,1,1,2] => 2838
[2,1,5,3,6,9,7,10,4,8] => 101001010 => [1,1,1,2,1,1,1,1] => 4274
[2,1,3,6,8,4,9,7,10,5] => 100010101 => [1,3,1,1,1,1,1] => 2717
[2,1,5,3,8,6,9,4,10,7] => 101010101 => [1,1,1,1,1,1,1,1,1] => 4862
[2,1,5,7,3,8,6,9,4,10] => 100101010 => [1,2,1,1,1,1,1,1] => 4004
[2,4,1,5,8,3,9,6,10,7] => 010010101 => [1,1,2,1,1,1,1,1] => 4202
[2,4,1,7,5,8,3,9,6,10] => 010101010 => [1,1,1,1,1,1,1,1,1] => 4862
[1,6,3,7,2,4,8,5] => 0101001 => [1,1,1,1,2,1] => 345
[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] => 170
[8,7,9,6,5,4,3,1,2] => 10111110 => [1,1,5,1] => 170
[9,7,8,6,5,4,3,1,2] => 10111110 => [1,1,5,1] => 170
[4,3,7,1,6,2,5,8] => 1010100 => [1,1,1,1,1,2] => 297
[4,3,1,6,7,2,5,8] => 1100100 => [2,2,1,2] => 180
[6,3,1,5,7,2,4,8] => 1100100 => [2,2,1,2] => 180
[8,7,5,4,3,6,9,2,1] => 11110011 => [4,2,2] => 185
[8,7,6,9,5,3,4,2,1] => 11011011 => [2,1,2,1,2] => 623
[8,7,9,6,5,4,2,3,1] => 10111101 => [1,1,4,1,1] => 450
[5,2,1,4,8,6,7,3] => 1100101 => [2,2,1,1,1] => 255
[4,5,2,1,3,7,6,8] => 0110010 => [1,2,2,1,1] => 295
[8,2,7,4,1,6,5,3] => 1011011 => [1,1,2,1,2] => 252
[3,2,8,4,1,6,5,7] => 1011010 => [1,1,2,1,1,1] => 359
[3,7,6,4,1,5,8,2] => 0111001 => [1,3,2,1] => 185
[7,1,8,4,2,3,6,5] => 1011001 => [1,1,2,2,1] => 295
[2,7,6,4,5,1,8,3] => 0110101 => [1,2,1,1,1,1] => 345
[4,6,8,1,7,3,5,2] => 0010101 => [2,1,1,1,1,1] => 297
[3,6,8,1,5,7,4,2] => 0010011 => [2,1,2,2] => 180
[2,8,3,1,6,7,4,5] => 0110010 => [1,2,2,1,1] => 295
[4,5,6,8,2,1,7,3] => 0001101 => [3,2,1,1] => 145
[4,5,6,8,1,3,7,2] => 0001001 => [3,1,2,1] => 137
[4,5,8,3,2,1,7,6] => 0011101 => [2,3,1,1] => 171
[4,5,1,3,2,6,7,8] => 0101000 => [1,1,1,1,3] => 165
[4,7,3,2,1,6,5,8] => 0111010 => [1,3,1,1,1] => 219
[4,7,8,3,5,1,6,2] => 0010101 => [2,1,1,1,1,1] => 297
[4,7,1,3,5,6,2,8] => 0100010 => [1,1,3,1,1] => 233
[4,8,3,2,1,6,7,5] => 0111001 => [1,3,2,1] => 185
[5,2,8,1,4,6,7,3] => 1010001 => [1,1,1,3,1] => 219
[5,6,3,7,8,1,4,2] => 0100101 => [1,1,2,1,1,1] => 359
[5,7,1,4,3,6,2,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[6,2,3,7,1,5,4,8] => 1001010 => [1,2,1,1,1,1] => 345
[6,2,8,1,5,4,7,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,1,3,4,5,2,7,8] => 1000100 => [1,3,1,2] => 157
[7,1,3,4,5,6,2,8] => 1000010 => [1,4,1,1] => 107
[7,2,5,1,3,6,4,8] => 1010010 => [1,1,1,2,1,1] => 359
[6,5,2,7,8,4,3,1] => 1100111 => [2,2,3] => 105
[7,5,3,6,4,2,1,8] => 1101110 => [2,1,3,1] => 157
[1,3,6,7,5,2,4,8] => 0001100 => [3,2,2] => 105
[1,5,2,6,8,7,3,4] => 0100110 => [1,1,2,2,1] => 295
[3,2,1,5,6,7,8,9,4] => 11000001 => [2,5,1] => 133
[3,2,6,1,4,7,8,9,5] => 10100001 => [1,1,1,4,1] => 410
[4,3,2,1,6,7,8,9,5] => 11100001 => [3,4,1] => 196
[3,2,7,8,1,4,5,9,6] => 10010001 => [1,2,1,3,1] => 646
[4,7,2,5,1,3,8,9,6] => 01010001 => [1,1,1,1,3,1] => 770
[4,3,2,7,1,5,8,9,6] => 11010001 => [2,1,1,3,1] => 551
[5,4,3,2,1,7,8,9,6] => 11110001 => [4,3,1] => 175
[4,3,2,8,9,1,5,6,7] => 11001000 => [2,2,1,3] => 365
[8,5,6,3,4,1,2,9,7] => 10101001 => [1,1,1,1,1,2,1] => 1166
[5,3,8,2,6,1,4,9,7] => 10101001 => [1,1,1,1,1,2,1] => 1166
[5,4,3,2,8,1,6,9,7] => 11101001 => [3,1,1,2,1] => 476
[6,5,4,3,2,1,8,9,7] => 11111001 => [5,2,1] => 98
[6,9,4,7,2,5,1,3,8] => 01010100 => [1,1,1,1,1,1,2] => 1001
[6,4,3,9,2,7,1,5,8] => 11010100 => [2,1,1,1,1,2] => 704
[6,5,4,3,2,9,1,7,8] => 11110100 => [4,1,1,2] => 200
[5,6,1,2,3,7,8,9,10,4] => 010000001 => [1,1,6,1] => 254
[2,5,1,3,6,7,8,9,10,4] => 010000001 => [1,1,6,1] => 254
[3,2,1,5,6,7,8,9,10,4] => 110000001 => [2,6,1] => 204
[6,7,8,1,2,3,4,9,10,5] => 001000001 => [2,1,5,1] => 534
[2,6,7,1,3,4,8,9,10,5] => 001000001 => [2,1,5,1] => 534
[6,3,4,1,2,7,8,9,10,5] => 101000001 => [1,1,1,5,1] => 704
[3,2,6,1,4,7,8,9,10,5] => 101000001 => [1,1,1,5,1] => 704
[4,3,2,1,6,7,8,9,10,5] => 111000001 => [3,5,1] => 364
[2,7,8,9,1,3,4,5,10,6] => 000100001 => [3,1,4,1] => 709
[7,3,4,8,1,2,5,9,10,6] => 100100001 => [1,2,1,4,1] => 1315
[3,2,7,8,1,4,5,9,10,6] => 100100001 => [1,2,1,4,1] => 1315
[4,7,2,5,1,3,8,9,10,6] => 010100001 => [1,1,1,1,4,1] => 1529
[4,3,2,7,1,5,8,9,10,6] => 110100001 => [2,1,1,4,1] => 1119
[5,4,3,2,1,7,8,9,10,6] => 111100001 => [4,4,1] => 406
[8,3,4,9,10,1,2,5,6,7] => 100010000 => [1,3,1,4] => 626
[8,9,4,5,6,1,2,3,10,7] => 010010001 => [1,1,2,1,3,1] => 2407
[4,3,2,8,9,1,5,6,10,7] => 110010001 => [2,2,1,3,1] => 1761
[8,5,6,3,4,1,2,9,10,7] => 101010001 => [1,1,1,1,1,3,1] => 2717
[5,3,8,2,6,1,4,9,10,7] => 101010001 => [1,1,1,1,1,3,1] => 2717
[5,4,3,2,8,1,6,9,10,7] => 111010001 => [3,1,1,3,1] => 1177
[6,5,4,3,2,1,8,9,10,7] => 111110001 => [5,3,1] => 294
[5,9,10,2,6,7,1,3,4,8] => 001001000 => [2,1,2,1,3] => 1304
[9,5,6,3,4,10,1,2,7,8] => 101001000 => [1,1,1,2,1,3] => 1806
[5,3,9,2,6,10,1,4,7,8] => 101001000 => [1,1,1,2,1,3] => 1806
[5,4,3,2,9,10,1,6,7,8] => 111001000 => [3,2,1,3] => 802
[6,9,4,7,2,5,1,3,10,8] => 010101001 => [1,1,1,1,1,1,2,1] => 4004
[6,4,3,9,2,7,1,5,10,8] => 110101001 => [2,1,1,1,1,2,1] => 2838
[6,5,4,3,2,9,1,7,10,8] => 111101001 => [4,1,1,2,1] => 851
[7,6,5,4,3,2,1,9,10,8] => 111111001 => [6,2,1] => 140
[10,7,8,5,6,3,4,1,2,9] => 101010100 => [1,1,1,1,1,1,1,2] => 3432
[7,5,10,3,8,2,6,1,4,9] => 101010100 => [1,1,1,1,1,1,1,2] => 3432
[7,5,4,3,10,2,8,1,6,9] => 111010100 => [3,1,1,1,1,2] => 1430
[7,6,5,4,3,2,10,1,8,9] => 111110100 => [5,1,1,2] => 319
[5,3,4,7,2,1,6,8] => 1001100 => [1,2,2,2] => 211
[7,6,9,5,4,3,2,1,8] => 10111110 => [1,1,5,1] => 170
[4,8,5,7,1,2,3,6] => 0101000 => [1,1,1,1,3] => 165
[4,2,3,7,6,1,8,5] => 1001101 => [1,2,2,1,1] => 295
[4,2,6,3,1,5,7,8] => 1011000 => [1,1,2,3] => 145
[2,1,8,7,4,3,6,5,10,9] => 101110101 => [1,1,3,1,1,1,1] => 3014
[4,6,3,2,5,8,7,1] => 0110011 => [1,2,2,2] => 211
[5,8,4,3,2,6,1,7] => 0111010 => [1,3,1,1,1] => 219
[1,5,7,4,8,6,2,3] => 0010110 => [2,1,1,2,1] => 241
[6,1,5,7,3,8,2,4] => 1001010 => [1,2,1,1,1,1] => 345
[1,2,7,8,6,4,3,5] => 0001110 => [3,3,1] => 95
[3,5,1,7,8,6,2,4] => 0100110 => [1,1,2,2,1] => 295
[5,2,4,1,7,6,8,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[2,1,4,3,6,5,7,9,10,8] => 101010001 => [1,1,1,1,1,3,1] => 2717
[2,1,4,3,5,7,8,6,10,9] => 101000101 => [1,1,1,3,1,1,1] => 3098
[2,1,4,3,5,7,6,9,10,8] => 101001001 => [1,1,1,2,1,2,1] => 3556
[2,1,4,3,5,6,8,9,10,7] => 101000001 => [1,1,1,5,1] => 704
[2,1,3,5,6,4,8,7,10,9] => 100010101 => [1,3,1,1,1,1,1] => 2717
[2,1,3,5,6,4,7,9,10,8] => 100010001 => [1,3,1,3,1] => 1622
[2,1,3,5,4,7,8,6,10,9] => 100100101 => [1,2,1,2,1,1,1] => 3556
[2,1,3,5,4,7,6,9,10,8] => 100101001 => [1,2,1,1,1,2,1] => 3314
[2,1,3,5,4,6,8,9,10,7] => 100100001 => [1,2,1,4,1] => 1315
[2,1,3,4,6,7,8,5,10,9] => 100000101 => [1,5,1,1,1] => 704
[2,1,3,4,6,7,5,9,10,8] => 100001001 => [1,4,1,2,1] => 1315
[2,1,3,4,6,5,8,9,10,7] => 100010001 => [1,3,1,3,1] => 1622
[2,1,3,4,5,7,8,9,10,6] => 100000001 => [1,7,1] => 65
[1,3,4,2,6,5,7,9,10,8] => 001010001 => [2,1,1,1,3,1] => 1947
[1,3,4,2,5,7,8,6,10,9] => 001000101 => [2,1,3,1,1,1] => 2256
[1,3,4,2,5,7,6,9,10,8] => 001001001 => [2,1,2,1,2,1] => 2550
[1,3,4,2,5,6,8,9,10,7] => 001000001 => [2,1,5,1] => 534
[1,3,2,5,6,4,8,7,10,9] => 010010101 => [1,1,2,1,1,1,1,1] => 4202
[1,3,2,5,6,4,7,9,10,8] => 010010001 => [1,1,2,1,3,1] => 2407
[1,3,2,5,4,7,8,6,10,9] => 010100101 => [1,1,1,1,2,1,1,1] => 4274
[1,3,2,5,4,7,6,9,10,8] => 010101001 => [1,1,1,1,1,1,2,1] => 4004
[1,3,2,5,4,6,8,9,10,7] => 010100001 => [1,1,1,1,4,1] => 1529
[1,3,2,4,6,7,8,5,10,9] => 010000101 => [1,1,4,1,1,1] => 1754
[1,3,2,4,6,7,5,9,10,8] => 010001001 => [1,1,3,1,2,1] => 2548
[1,3,2,4,6,5,8,9,10,7] => 010010001 => [1,1,2,1,3,1] => 2407
[1,3,2,4,5,7,8,9,10,6] => 010000001 => [1,1,6,1] => 254
[1,2,4,5,6,3,8,7,10,9] => 000010101 => [4,1,1,1,1,1] => 1001
[1,2,4,5,6,3,7,9,10,8] => 000010001 => [4,1,3,1] => 626
[1,2,4,5,3,7,8,6,10,9] => 000100101 => [3,1,2,1,1,1] => 1806
[1,2,4,5,3,7,6,9,10,8] => 000101001 => [3,1,1,1,2,1] => 1672
[1,2,4,5,3,6,8,9,10,7] => 000100001 => [3,1,4,1] => 709
[1,2,4,3,6,7,8,5,10,9] => 001000101 => [2,1,3,1,1,1] => 2256
[1,2,4,3,6,7,5,9,10,8] => 001001001 => [2,1,2,1,2,1] => 2550
[1,2,4,3,6,5,8,9,10,7] => 001010001 => [2,1,1,1,3,1] => 1947
[1,2,4,3,5,7,8,9,10,6] => 001000001 => [2,1,5,1] => 534
[1,2,3,5,6,7,8,4,10,9] => 000000101 => [6,1,1,1] => 154
[1,2,3,5,6,7,4,9,10,8] => 000001001 => [5,1,2,1] => 375
[1,2,3,5,6,4,8,9,10,7] => 000010001 => [4,1,3,1] => 626
[1,2,3,5,4,7,8,9,10,6] => 000100001 => [3,1,4,1] => 709
[2,3,4,9,6,7,8,5,1] => 00010011 => [3,1,2,2] => 365
[2,3,9,5,6,7,8,4,1] => 00100011 => [2,1,3,2] => 452
[2,9,4,5,6,7,8,3,1] => 01000011 => [1,1,4,2] => 343
[9,3,4,5,6,7,8,2,1] => 10000011 => [1,5,2] => 133
[2,3,4,5,6,10,8,9,7,1] => 000001011 => [5,1,1,2] => 319
[2,3,4,1,9,7,8,6,5] => 00101011 => [2,1,1,1,1,2] => 704
[2,3,4,5,10,7,8,9,6,1] => 000010011 => [4,1,2,2] => 666
[2,3,1,9,6,7,8,5,4] => 01010011 => [1,1,1,1,2,2] => 875
[2,3,4,10,6,7,8,9,5,1] => 000100011 => [3,1,3,2] => 998
[2,1,9,5,6,7,8,4,3] => 10100011 => [1,1,1,3,2] => 623
[2,3,10,5,6,7,8,9,4,1] => 001000011 => [2,1,4,2] => 1001
[1,9,4,5,6,7,8,3,2] => 01000011 => [1,1,4,2] => 343
[2,10,4,5,6,7,8,9,3,1] => 010000011 => [1,1,5,2] => 624
[10,3,4,5,6,7,8,9,2,1] => 100000011 => [1,6,2] => 204
[5,6,4,7,3,9,1,8,2] => 01010101 => [1,1,1,1,1,1,1,1] => 1430
[5,6,4,9,1,8,2,7,3] => 01010101 => [1,1,1,1,1,1,1,1] => 1430
[5,9,1,8,2,7,3,6,4] => 01010101 => [1,1,1,1,1,1,1,1] => 1430
[9,1,8,2,7,3,6,4,5] => 10101010 => [1,1,1,1,1,1,1,1] => 1430
[5,4,3,8,1,7,2,6] => 1101010 => [2,1,1,1,1,1] => 297
[5,4,9,1,8,2,7,3,6] => 10101010 => [1,1,1,1,1,1,1,1] => 1430
[5,4,6,3,9,1,8,2,7] => 10101010 => [1,1,1,1,1,1,1,1] => 1430
[5,4,6,3,7,2,9,1,8] => 10101010 => [1,1,1,1,1,1,1,1] => 1430
[6,5,7,4,8,3,10,1,9,2] => 101010101 => [1,1,1,1,1,1,1,1,1] => 4862
[5,6,4,8,2,9,1,7,3] => 01010101 => [1,1,1,1,1,1,1,1] => 1430
[6,5,7,4,10,1,9,2,8,3] => 101010101 => [1,1,1,1,1,1,1,1,1] => 4862
[5,7,3,9,1,8,2,6,4] => 01010101 => [1,1,1,1,1,1,1,1] => 1430
[6,5,10,1,9,2,8,3,7,4] => 101010101 => [1,1,1,1,1,1,1,1,1] => 4862
[6,4,9,1,8,2,7,3,5] => 10101010 => [1,1,1,1,1,1,1,1] => 1430
[4,5,9,1,8,2,7,3,6] => 00101010 => [2,1,1,1,1,1,1] => 1001
[5,10,1,9,2,8,3,7,4,6] => 010101010 => [1,1,1,1,1,1,1,1,1] => 4862
[6,4,5,3,9,1,8,2,7] => 10101010 => [1,1,1,1,1,1,1,1] => 1430
[5,6,4,10,1,9,2,8,3,7] => 010101010 => [1,1,1,1,1,1,1,1,1] => 4862
[5,4,7,3,6,2,9,1,8] => 10101010 => [1,1,1,1,1,1,1,1] => 1430
[5,6,4,7,3,10,1,9,2,8] => 010101010 => [1,1,1,1,1,1,1,1,1] => 4862
[5,6,4,7,3,8,2,10,1,9] => 010101010 => [1,1,1,1,1,1,1,1,1] => 4862
[7,3,1,5,6,8,4,2] => 1100011 => [2,3,2] => 126
[2,10,1,3,4,5,6,9,7,8] => 010000010 => [1,1,5,1,1] => 794
[2,9,1,3,4,5,6,7,10,8] => 010000001 => [1,1,6,1] => 254
[10,3,1,2,4,5,6,9,7,8] => 110000010 => [2,5,1,1] => 624
[3,1,10,2,4,5,6,9,7,8] => 101000010 => [1,1,1,4,1,1] => 1754
[9,3,1,2,4,5,6,7,10,8] => 110000001 => [2,6,1] => 204
[3,1,9,2,4,5,6,7,10,8] => 101000001 => [1,1,1,5,1] => 704
[7,2,3,1,6,8,4,5] => 1010010 => [1,1,1,2,1,1] => 359
[4,1,8,2,5,6,3,7] => 1010010 => [1,1,1,2,1,1] => 359
[5,7,8,1,6,2,3,4] => 0010100 => [2,1,1,1,2] => 207
[1,6,4,2,7,3,8,5] => 0110101 => [1,2,1,1,1,1] => 345
[1,4,2,5,8,6,3,7] => 0100110 => [1,1,2,2,1] => 295
[4,3,2,1,8,9,7,6,5] => 11100111 => [3,2,3] => 226
[4,8,2,1,5,7,3,6] => 0110010 => [1,2,2,1,1] => 295
[5,2,7,1,6,3,4,8] => 1010100 => [1,1,1,1,1,2] => 297
[4,8,2,5,1,6,3,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,8,1,2,4,6,3,7] => 0100010 => [1,1,3,1,1] => 233
[5,1,7,3,6,4,2,8] => 1010110 => [1,1,1,1,2,1] => 345
[3,2,7,5,6,1,4,8] => 1010100 => [1,1,1,1,1,2] => 297
[3,2,7,1,6,4,5,8] => 1010100 => [1,1,1,1,1,2] => 297
[6,3,1,7,5,4,2,8] => 1101110 => [2,1,3,1] => 157
[9,8,3,4,5,6,7,1,2] => 11000010 => [2,4,1,1] => 343
[9,8,2,3,4,5,6,1,7] => 11000010 => [2,4,1,1] => 343
[6,2,8,7,3,4,5,1] => 1011001 => [1,1,2,2,1] => 295
[9,4,5,6,7,8,2,1,3] => 10000110 => [1,4,2,1] => 358
[9,3,4,5,6,7,2,1,8] => 10000110 => [1,4,2,1] => 358
[10,9,3,4,5,6,7,8,1,2] => 110000010 => [2,5,1,1] => 624
[10,9,2,3,4,5,6,7,1,8] => 110000010 => [2,5,1,1] => 624
[7,2,9,8,3,4,5,6,1] => 10110001 => [1,1,2,3,1] => 685
[9,8,2,3,4,5,1,6,7] => 11000100 => [2,3,1,2] => 452
[7,3,4,8,5,6,2,1] => 1001011 => [1,2,1,1,2] => 241
[9,5,6,7,8,2,1,3,4] => 10001100 => [1,3,2,2] => 500
[7,3,6,8,4,5,2,1] => 1001011 => [1,2,1,1,2] => 241
[8,3,9,4,5,6,7,2,1] => 10100011 => [1,1,1,3,2] => 623
[10,4,5,6,7,8,9,2,1,3] => 100000110 => [1,5,2,1] => 630
[9,3,4,5,6,2,1,7,8] => 10001100 => [1,3,2,2] => 500
[10,3,4,5,6,7,8,2,1,9] => 100000110 => [1,5,2,1] => 630
[5,6,2,8,3,1,7,4] => 0101101 => [1,1,1,2,1,1] => 359
[1,4,7,5,6,2,8,3] => 0010101 => [2,1,1,1,1,1] => 297
[1,7,4,8,3,5,6,2] => 0101001 => [1,1,1,1,2,1] => 345
[5,3,1,4,8,6,2,7] => 1100110 => [2,2,2,1] => 211
[5,2,4,8,3,1,6,7] => 1001100 => [1,2,2,2] => 211
[7,4,5,1,8,6,2,3] => 1010110 => [1,1,1,1,2,1] => 345
[8,1,5,7,6,3,2,4] => 1001110 => [1,2,3,1] => 185
[1,8,6,7,5,3,2,4] => 0101110 => [1,1,1,3,1] => 219
[7,4,8,3,1,6,5,2] => 1011011 => [1,1,2,1,2] => 252
[8,1,5,3,7,6,2,4] => 1010110 => [1,1,1,1,2,1] => 345
[6,4,8,7,3,5,1,2] => 1011010 => [1,1,2,1,1,1] => 359
[6,1,4,2,3,5,7,8] => 1010000 => [1,1,1,4] => 75
[7,1,4,3,8,6,5,2] => 1010111 => [1,1,1,1,3] => 165
[6,1,5,7,2,8,3,4] => 1001010 => [1,2,1,1,1,1] => 345
[1,8,2,6,7,4,3,5] => 0100110 => [1,1,2,2,1] => 295
[1,6,2,7,3,8,4,9,5] => 01010101 => [1,1,1,1,1,1,1,1] => 1430
[1,8,5,2,9,6,3,10,7,4] => 011011011 => [1,2,1,2,1,2] => 2550
[7,2,4,1,8,5,3,6] => 1010110 => [1,1,1,1,2,1] => 345
[4,7,2,6,1,8,3,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[8,7,3,5,2,1,6,4] => 1101101 => [2,1,2,1,1] => 252
[7,5,3,2,1,6,8,4] => 1111001 => [4,2,1] => 65
[6,8,1,3,4,2,5,7] => 0100100 => [1,1,2,1,2] => 252
[3,6,1,4,7,8,2,5] => 0100010 => [1,1,3,1,1] => 233
[2,5,7,1,3,6,4,8] => 0010010 => [2,1,2,1,1] => 252
[1,4,7,2,5,3,6,8] => 0010100 => [2,1,1,1,2] => 207
[4,5,3,1,2,6,8,7] => 0110001 => [1,2,3,1] => 185
[4,5,1,3,8,2,6,7] => 0100100 => [1,1,2,1,2] => 252
[4,1,5,3,2,7,6,8] => 1011010 => [1,1,2,1,1,1] => 359
[7,3,5,1,4,2,6,8] => 1010100 => [1,1,1,1,1,2] => 297
[6,2,1,7,4,3,8,5] => 1101101 => [2,1,2,1,1] => 252
[2,4,3,6,7,1,5,8] => 0100100 => [1,1,2,1,2] => 252
[7,3,5,2,1,6,4,8] => 1011010 => [1,1,2,1,1,1] => 359
[4,6,5,2,1,3,7,8] => 0111000 => [1,3,3] => 95
[2,5,6,1,4,3,7,8] => 0010100 => [2,1,1,1,2] => 207
[6,1,5,3,7,2,4,8] => 1010100 => [1,1,1,1,1,2] => 297
[3,6,5,4,1,7,2,8] => 0111010 => [1,3,1,1,1] => 219
[10,9,3,8,7,6,5,4,2,1] => 110111111 => [2,1,6] => 119
[8,7,6,4,5,3,2,1,10,9] => 111011101 => [3,1,3,1,1] => 1330
[10,9,8,6,5,4,7,3,2,1] => 111110111 => [5,1,3] => 209
[6,7,1,9,2,3,4,5,8] => 01010000 => [1,1,1,1,4] => 275
[6,1,8,9,2,3,4,5,7] => 10010000 => [1,2,1,4] => 235
[8,1,9,10,2,3,4,5,6,7] => 100100000 => [1,2,1,5] => 375
[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] => 126
[8,7,5,4,6,1,3,2] => 1110101 => [3,1,1,1,1] => 165
[1,7,8,2,4,6,3,5] => 0010010 => [2,1,2,1,1] => 252
[7,5,4,8,1,3,6,2] => 1101001 => [2,1,1,2,1] => 241
[5,6,1,8,4,3,7,2] => 0101101 => [1,1,1,2,1,1] => 359
[1,8,2,6,7,5,4,3] => 0100111 => [1,1,2,3] => 145
[2,7,5,1,6,8,3,4] => 0110010 => [1,2,2,1,1] => 295
[8,5,4,2,7,3,6,1] => 1110101 => [3,1,1,1,1] => 165
[3,8,6,1,2,4,5,7] => 0110000 => [1,2,4] => 65
[1,8,5,3,2,7,4,6] => 0111010 => [1,3,1,1,1] => 219
[1,8,4,7,2,3,5,6] => 0101000 => [1,1,1,1,3] => 165
[3,2,8,1,7,5,4,6] => 1010110 => [1,1,1,1,2,1] => 345
[3,4,5,6,2,1,7,8,9] => 00011000 => [3,2,3] => 226
[3,4,5,2,1,6,7,8,9] => 00110000 => [2,2,4] => 185
[7,1,5,6,2,3,4,8] => 1001000 => [1,2,1,3] => 137
[6,5,1,7,2,3,4,8] => 1101000 => [2,1,1,3] => 117
[1,6,8,2,7,3,4,5] => 0010100 => [2,1,1,1,2] => 207
[1,6,8,7,3,4,2,5] => 0011010 => [2,2,1,1,1] => 255
[4,1,3,6,7,8,5,2] => 1000011 => [1,4,2] => 81
[7,4,1,5,6,8,3,2] => 1100011 => [2,3,2] => 126
[4,1,2,6,7,8,5,3] => 1000011 => [1,4,2] => 81
[3,4,5,8,9,1,2,6,7] => 00001000 => [4,1,3] => 125
[3,4,7,8,9,1,2,5,6] => 00001000 => [4,1,3] => 125
[3,6,7,8,9,1,2,4,5] => 00001000 => [4,1,3] => 125
[3,4,5,6,1,7,2,8,9] => 00010100 => [3,1,1,1,2] => 407
[3,4,5,1,6,2,7,8,9] => 00101000 => [2,1,1,1,3] => 407
[3,4,5,6,7,10,1,2,8,9] => 000001000 => [5,1,3] => 209
[3,4,1,5,9,2,6,7,8] => 01001000 => [1,1,2,1,3] => 502
[3,4,5,6,9,10,1,2,7,8] => 000001000 => [5,1,3] => 209
[3,4,5,8,9,10,1,2,6,7] => 000001000 => [5,1,3] => 209
[1,3,7,8,9,2,4,5,6] => 00001000 => [4,1,3] => 125
[3,4,7,8,9,10,1,2,5,6] => 000001000 => [5,1,3] => 209
[2,6,7,8,9,1,3,4,5] => 00001000 => [4,1,3] => 125
[3,6,7,8,9,10,1,2,4,5] => 000001000 => [5,1,3] => 209
[6,3,7,1,8,2,4,5] => 1010100 => [1,1,1,1,1,2] => 297
[3,7,8,1,5,2,6,4] => 0010101 => [2,1,1,1,1,1] => 297
[2,1,4,3,6,5,10,7,9,8] => 101010101 => [1,1,1,1,1,1,1,1,1] => 4862
[2,1,4,3,8,5,7,6,10,9] => 101010101 => [1,1,1,1,1,1,1,1,1] => 4862
[2,1,4,3,10,9,7,5,6,8] => 101011100 => [1,1,1,1,3,2] => 2244
[2,1,4,3,10,5,6,8,9,7] => 101010001 => [1,1,1,1,1,3,1] => 2717
[2,1,6,3,5,4,8,7,10,9] => 101010101 => [1,1,1,1,1,1,1,1,1] => 4862
[2,1,6,3,5,4,10,7,9,8] => 101010101 => [1,1,1,1,1,1,1,1,1] => 4862
[2,1,8,7,5,3,4,6,10,9] => 101110001 => [1,1,3,3,1] => 1849
[2,1,10,7,5,9,4,3,6,8] => 101101100 => [1,1,2,1,2,2] => 2661
[2,1,10,8,5,3,6,4,9,7] => 101110101 => [1,1,3,1,1,1,1] => 3014
[2,1,8,3,4,6,7,5,10,9] => 101000101 => [1,1,1,3,1,1,1] => 3098
[2,1,10,9,4,6,7,3,5,8] => 101100100 => [1,1,2,2,1,2] => 2694
[2,1,10,3,9,6,4,8,5,7] => 101011010 => [1,1,1,1,2,1,1,1] => 4274
[2,1,10,3,4,5,7,8,9,6] => 101000001 => [1,1,1,5,1] => 704
[4,1,3,2,6,5,8,7,10,9] => 101010101 => [1,1,1,1,1,1,1,1,1] => 4862
[4,1,3,2,6,5,10,7,9,8] => 101010101 => [1,1,1,1,1,1,1,1,1] => 4862
[4,1,3,2,8,5,7,6,10,9] => 101010101 => [1,1,1,1,1,1,1,1,1] => 4862
[4,1,3,2,10,9,7,5,6,8] => 101011100 => [1,1,1,1,3,2] => 2244
[4,1,3,2,10,5,6,8,9,7] => 101010001 => [1,1,1,1,1,3,1] => 2717
[6,5,3,1,2,4,10,7,9,8] => 111000101 => [3,3,1,1,1] => 1414
[8,5,3,7,2,1,4,6,10,9] => 110110001 => [2,1,2,3,1] => 1794
[10,5,3,7,2,9,4,1,6,8] => 110101100 => [2,1,1,1,2,2] => 2161
[10,5,3,8,2,1,6,4,9,7] => 110110101 => [2,1,2,1,1,1,1] => 3054
[8,6,3,1,4,2,7,5,10,9] => 111010101 => [3,1,1,1,1,1,1] => 2002
[10,6,3,9,4,2,7,1,5,8] => 110110100 => [2,1,2,1,1,2] => 2179
[10,6,3,1,9,2,4,8,5,7] => 111010010 => [3,1,1,2,1,1] => 1762
[10,7,3,1,4,5,2,8,9,6] => 111001001 => [3,2,1,2,1] => 1544
[6,1,2,4,5,3,8,7,10,9] => 100010101 => [1,3,1,1,1,1,1] => 2717
[6,1,2,4,5,3,10,7,9,8] => 100010101 => [1,3,1,1,1,1,1] => 2717
[8,7,2,4,5,1,3,6,10,9] => 110010001 => [2,2,1,3,1] => 1761
[10,7,2,4,5,9,3,1,6,8] => 110001100 => [2,3,2,2] => 1486
[10,8,2,4,5,1,6,3,9,7] => 110010101 => [2,2,1,1,1,1,1] => 3036
[8,1,7,4,2,6,3,5,10,9] => 101101001 => [1,1,2,1,1,2,1] => 3484
[10,9,7,4,2,6,3,1,5,8] => 111101100 => [4,1,2,2] => 666
[10,1,8,4,9,6,2,3,5,7] => 101011000 => [1,1,1,1,2,3] => 1834
[10,1,8,4,2,5,7,3,9,6] => 101100101 => [1,1,2,2,1,1,1] => 3754
[8,1,2,3,5,6,7,4,10,9] => 100000101 => [1,5,1,1,1] => 704
[10,9,2,3,5,6,7,1,4,8] => 110000100 => [2,4,1,2] => 1001
[10,1,9,3,5,6,2,8,4,7] => 101001010 => [1,1,1,2,1,1,1,1] => 4274
[10,1,2,9,5,3,7,8,4,6] => 100110010 => [1,2,2,2,1,1] => 3164
[1,5,4,7,8,3,6,2] => 0100101 => [1,1,2,1,1,1] => 359
[5,1,4,7,8,3,6,2] => 1000101 => [1,3,1,1,1] => 219
[4,8,1,5,6,2,3,7] => 0100100 => [1,1,2,1,2] => 252
[5,6,4,1,7,3,8,2] => 0110101 => [1,2,1,1,1,1] => 345
[4,3,7,8,2,5,1,6] => 1001010 => [1,2,1,1,1,1] => 345
[3,7,8,5,4,2,1,6] => 0011110 => [2,4,1] => 81
[1,7,4,5,6,8,3,2] => 0100011 => [1,1,3,2] => 171
[7,2,4,5,6,8,3,1] => 1000011 => [1,4,2] => 81
[2,7,4,5,6,8,3,1] => 0100011 => [1,1,3,2] => 171
[2,4,7,8,3,1,6,5] => 0001101 => [3,2,1,1] => 145
[5,4,3,6,8,1,7,2] => 1100101 => [2,2,1,1,1] => 255
[3,7,4,5,8,1,6,2] => 0100101 => [1,1,2,1,1,1] => 359
[1,4,3,5,6,8,2,7] => 0100010 => [1,1,3,1,1] => 233
[1,4,6,5,8,2,7,3] => 0010101 => [2,1,1,1,1,1] => 297
[4,6,1,7,3,2,8,5] => 0101101 => [1,1,1,2,1,1] => 359
[1,7,3,6,4,2,8,5] => 0101101 => [1,1,1,2,1,1] => 359
[4,7,3,5,1,2,8,6] => 0101001 => [1,1,1,1,2,1] => 345
[1,6,4,2,3,5,8,7] => 0110001 => [1,2,3,1] => 185
[4,8,3,5,2,1,6,7] => 0101100 => [1,1,1,2,2] => 255
[10,9,7,6,5,4,3,8,2,1] => 111111011 => [6,1,2] => 119
[1,6,8,4,7,5,3,2] => 0010111 => [2,1,1,3] => 117
[8,7,3,1,5,2,6,4] => 1110101 => [3,1,1,1,1] => 165
[4,7,1,6,8,2,3,5] => 0100100 => [1,1,2,1,2] => 252
[4,6,5,8,2,3,7,1] => 0101001 => [1,1,1,1,2,1] => 345
[7,1,8,2,4,5,3,6] => 1010010 => [1,1,1,2,1,1] => 359
[5,7,8,2,3,4,1,6] => 0010010 => [2,1,2,1,1] => 252
[5,2,3,8,7,1,4,6] => 1001100 => [1,2,2,2] => 211
[8,7,1,3,2,6,4,5] => 1101010 => [2,1,1,1,1,1] => 297
[2,7,6,4,8,3,1,5] => 0110110 => [1,2,1,2,1] => 281
[2,6,3,7,5,8,4,1] => 0101011 => [1,1,1,1,1,2] => 297
[7,5,1,2,3,8,4,6] => 1100010 => [2,3,1,1] => 171
[4,3,5,2,6,1,7,8,9] => 10101000 => [1,1,1,1,1,3] => 572
[4,5,3,6,2,7,1,8,9] => 01010100 => [1,1,1,1,1,1,2] => 1001
[3,2,4,1,5,6,7,8,9,10] => 101000000 => [1,1,1,6] => 154
[3,4,2,5,1,6,7,8,9,10] => 010100000 => [1,1,1,1,5] => 429
[4,3,5,2,6,1,7,8,9,10] => 101010000 => [1,1,1,1,1,4] => 1001
[4,5,3,6,2,7,1,8,9,10] => 010101000 => [1,1,1,1,1,1,3] => 2002
[5,4,6,3,7,2,8,1,9,10] => 101010100 => [1,1,1,1,1,1,1,2] => 3432
[8,6,2,1,3,7,4,5] => 1110010 => [3,2,1,1] => 145
[4,2,3,6,8,5,7,1] => 1000101 => [1,3,1,1,1] => 219
[4,7,3,2,6,5,1,8] => 0110110 => [1,2,1,2,1] => 281
[4,3,7,8,2,1,6,5] => 1001101 => [1,2,2,1,1] => 295
[4,8,7,2,1,5,6,3] => 0111001 => [1,3,2,1] => 185
[7,3,8,2,5,1,6,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,5,3,8,6,1,2,7] => 0101100 => [1,1,1,2,2] => 255
[6,3,5,8,4,1,2,7] => 1001100 => [1,2,2,2] => 211
[7,3,8,4,5,1,2,6] => 1010100 => [1,1,1,1,1,2] => 297
[4,8,7,5,1,2,6,3] => 0111001 => [1,3,2,1] => 185
[7,8,4,6,1,3,5,2] => 0101001 => [1,1,1,1,2,1] => 345
[4,8,7,5,1,3,6,2] => 0111001 => [1,3,2,1] => 185
[4,5,3,6,8,1,2,7] => 0100100 => [1,1,2,1,2] => 252
[7,8,6,2,1,4,3,5] => 0111010 => [1,3,1,1,1] => 219
[7,8,6,3,1,2,5,4] => 0111001 => [1,3,2,1] => 185
[3,7,6,4,1,5,2,8] => 0111010 => [1,3,1,1,1] => 219
[5,2,8,4,7,1,3,6] => 1010100 => [1,1,1,1,1,2] => 297
[7,3,1,2,8,6,5,4] => 1100111 => [2,2,3] => 105
[8,7,1,3,2,4,5,6] => 1101000 => [2,1,1,3] => 117
[4,1,3,6,5,7,2,8] => 1001010 => [1,2,1,1,1,1] => 345
[4,1,3,5,7,2,8,6] => 1000101 => [1,3,1,1,1] => 219
[5,1,8,2,4,6,3,7] => 1010010 => [1,1,1,2,1,1] => 359
[6,8,2,1,4,5,3,7] => 0110010 => [1,2,2,1,1] => 295
[4,2,7,3,6,8,5,1] => 1010011 => [1,1,1,2,2] => 255
[3,1,5,8,6,7,2,4] => 1001010 => [1,2,1,1,1,1] => 345
[6,8,2,1,4,5,7,3] => 0110001 => [1,2,3,1] => 185
[2,1,4,3,6,5,10,7,8,9] => 101010100 => [1,1,1,1,1,1,1,2] => 3432
[2,1,4,3,8,5,6,7,10,9] => 101010001 => [1,1,1,1,1,3,1] => 2717
[2,1,4,3,10,9,6,5,8,7] => 101011101 => [1,1,1,1,3,1,1] => 3014
[2,1,4,3,10,5,6,7,8,9] => 101010000 => [1,1,1,1,1,4] => 1001
[2,1,6,3,4,5,8,7,10,9] => 101000101 => [1,1,1,3,1,1,1] => 3098
[2,1,6,3,4,5,10,7,8,9] => 101000100 => [1,1,1,3,1,2] => 2256
[2,1,10,7,4,9,6,3,8,5] => 101101101 => [1,1,2,1,2,1,1] => 3667
[2,1,10,9,4,3,6,7,8,5] => 101110001 => [1,1,3,3,1] => 1849
[2,1,8,3,4,5,6,7,10,9] => 101000001 => [1,1,1,5,1] => 704
[2,1,10,9,4,5,6,3,8,7] => 101100101 => [1,1,2,2,1,1,1] => 3754
[2,1,10,3,8,5,4,7,6,9] => 101011010 => [1,1,1,1,2,1,1,1] => 4274
[4,1,2,3,6,5,10,7,8,9] => 100010100 => [1,3,1,1,1,2] => 1947
[4,1,2,3,8,5,6,7,10,9] => 100010001 => [1,3,1,3,1] => 1622
[4,1,2,3,10,9,6,5,8,7] => 100011101 => [1,3,3,1,1] => 1849
[6,5,2,1,4,3,8,7,10,9] => 111010101 => [3,1,1,1,1,1,1] => 2002
[6,5,2,1,4,3,10,7,8,9] => 111010100 => [3,1,1,1,1,2] => 1430
[8,5,2,7,4,1,6,3,10,9] => 110110101 => [2,1,2,1,1,1,1] => 3054
[10,5,2,7,4,9,6,1,8,3] => 110101101 => [2,1,1,1,2,1,1] => 2982
[10,5,2,9,4,1,6,7,8,3] => 110110001 => [2,1,2,3,1] => 1794
[8,7,2,1,4,5,6,3,10,9] => 111000101 => [3,3,1,1,1] => 1414
[10,7,2,9,4,5,6,1,8,3] => 110100101 => [2,1,1,2,1,1,1] => 3040
[10,9,2,1,8,5,4,7,6,3] => 111011011 => [3,1,2,1,2] => 1304
[10,9,2,1,4,5,6,7,8,3] => 111000001 => [3,5,1] => 364
[6,1,2,3,4,5,8,7,10,9] => 100000101 => [1,5,1,1,1] => 704
[8,7,2,3,4,1,6,5,10,9] => 110010101 => [2,2,1,1,1,1,1] => 3036
[10,7,2,3,4,9,6,1,8,5] => 110001101 => [2,3,2,1,1] => 2019
[10,9,2,3,4,1,6,7,8,5] => 110010001 => [2,2,1,3,1] => 1761
[8,1,6,3,2,5,4,7,10,9] => 101101001 => [1,1,2,1,1,2,1] => 3484
[10,9,6,3,2,5,4,1,8,7] => 111101101 => [4,1,2,1,1] => 901
[10,1,6,3,8,5,2,7,4,9] => 101011010 => [1,1,1,1,2,1,1,1] => 4274
[10,1,8,3,2,5,6,7,4,9] => 101100010 => [1,1,2,3,1,1] => 2704
[10,9,2,3,4,5,6,1,8,7] => 110000101 => [2,4,1,1,1] => 1344
[10,1,8,3,4,5,2,7,6,9] => 101001010 => [1,1,1,2,1,1,1,1] => 4274
[10,1,2,7,4,3,6,5,8,9] => 100110100 => [1,2,2,1,1,2] => 2558
[1,5,4,8,7,3,2,6] => 0101110 => [1,1,1,3,1] => 219
[4,3,1,2,6,5,7,8] => 1100100 => [2,2,1,2] => 180
[7,1,4,5,8,3,6,2] => 1000101 => [1,3,1,1,1] => 219
[7,5,8,1,2,4,6,3] => 1010001 => [1,1,1,3,1] => 219
[6,1,5,2,8,7,4,3] => 1010111 => [1,1,1,1,3] => 165
[8,4,6,3,1,2,7,5] => 1011001 => [1,1,2,2,1] => 295
[3,8,6,4,1,5,7,2] => 0111001 => [1,3,2,1] => 185
[8,7,1,4,5,2,3,6] => 1100100 => [2,2,1,2] => 180
[3,8,6,4,5,1,7,2] => 0110101 => [1,2,1,1,1,1] => 345
[3,7,6,4,5,1,2,8] => 0110100 => [1,2,1,1,2] => 241
[7,4,6,3,1,2,8,5] => 1011001 => [1,1,2,2,1] => 295
[4,6,2,5,7,8,1,3] => 0100010 => [1,1,3,1,1] => 233
[4,6,3,5,7,1,2,8] => 0100100 => [1,1,2,1,2] => 252
[4,7,3,5,8,6,1,2] => 0100110 => [1,1,2,2,1] => 295
[4,8,3,5,7,1,6,2] => 0100101 => [1,1,2,1,1,1] => 359
[4,8,3,5,6,1,2,7] => 0100100 => [1,1,2,1,2] => 252
[4,7,2,5,6,8,1,3] => 0100010 => [1,1,3,1,1] => 233
[4,8,2,5,6,7,1,3] => 0100010 => [1,1,3,1,1] => 233
[1,4,7,2,6,5,8,3] => 0010101 => [2,1,1,1,1,1] => 297
[1,5,7,2,6,4,8,3] => 0010101 => [2,1,1,1,1,1] => 297
[7,2,4,6,1,8,3,5] => 1001010 => [1,2,1,1,1,1] => 345
[1,2,7,8,3,5,4,6] => 0001010 => [3,1,1,1,1] => 165
[1,7,6,2,8,5,4,3] => 0110111 => [1,2,1,3] => 137
[1,2,7,8,3,4,6,5] => 0001001 => [3,1,2,1] => 137
[1,7,6,8,3,4,2,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,4,1,7,8,6,5,2] => 0100111 => [1,1,2,3] => 145
[2,4,8,6,5,7,1,3] => 0011010 => [2,2,1,1,1] => 255
[5,1,3,4,8,2,7,6] => 1000101 => [1,3,1,1,1] => 219
[8,7,3,6,1,4,2,5] => 1101010 => [2,1,1,1,1,1] => 297
[6,5,1,8,3,4,7,2] => 1101001 => [2,1,1,2,1] => 241
[8,2,1,5,6,4,7,3] => 1100101 => [2,2,1,1,1] => 255
[7,5,6,1,3,4,8,2] => 1010001 => [1,1,1,3,1] => 219
[5,7,2,4,6,1,8,3] => 0100101 => [1,1,2,1,1,1] => 359
[2,1,5,6,3,8,7,4] => 1001011 => [1,2,1,1,2] => 241
[3,2,7,5,8,6,4,1] => 1010111 => [1,1,1,1,3] => 165
[2,4,5,3,8,1,7,6] => 0010101 => [2,1,1,1,1,1] => 297
[7,2,5,4,3,8,6,1] => 1011011 => [1,1,2,1,2] => 252
[8,5,3,1,2,6,7,4] => 1110001 => [3,3,1] => 95
[7,2,5,1,3,6,8,4] => 1010001 => [1,1,1,3,1] => 219
[8,4,7,3,1,2,6,5] => 1011001 => [1,1,2,2,1] => 295
[1,8,7,3,5,2,6,4] => 0110101 => [1,2,1,1,1,1] => 345
[2,4,8,3,6,5,7,1] => 0010101 => [2,1,1,1,1,1] => 297
[3,1,8,2,6,5,7,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,6,7,8,5,2,1,3] => 0001110 => [3,3,1] => 95
[4,7,2,1,8,6,5,3] => 0110111 => [1,2,1,3] => 137
[5,6,2,8,4,1,7,3] => 0101101 => [1,1,1,2,1,1] => 359
[5,7,2,4,8,6,1,3] => 0100110 => [1,1,2,2,1] => 295
[6,7,2,4,8,5,1,3] => 0100110 => [1,1,2,2,1] => 295
[6,7,3,2,8,5,1,4] => 0110110 => [1,2,1,2,1] => 281
[7,2,3,1,8,6,5,4] => 1010111 => [1,1,1,1,3] => 165
[7,2,8,3,5,6,1,4] => 1010010 => [1,1,1,2,1,1] => 359
[7,2,3,8,4,6,1,5] => 1001010 => [1,2,1,1,1,1] => 345
[1,7,3,4,8,5,2,6] => 0100110 => [1,1,2,2,1] => 295
[1,7,3,8,5,4,2,6] => 0101110 => [1,1,1,3,1] => 219
[7,2,8,4,5,3,1,6] => 1010110 => [1,1,1,1,2,1] => 345
[2,8,6,4,3,1,7,5] => 0111101 => [1,4,1,1] => 107
[1,7,3,4,8,2,5,6] => 0100100 => [1,1,2,1,2] => 252
[1,5,8,3,4,6,2,7] => 0010010 => [2,1,2,1,1] => 252
[1,3,8,4,2,5,7,6] => 0011001 => [2,2,2,1] => 211
[1,4,7,6,2,3,8,5] => 0011001 => [2,2,2,1] => 211
[1,8,4,6,7,2,3,5] => 0100100 => [1,1,2,1,2] => 252
[1,4,2,3,7,8,6,5] => 0100011 => [1,1,3,2] => 171
[5,7,1,6,4,8,3,2] => 0101011 => [1,1,1,1,1,2] => 297
[1,2,9,7,5,3,10,8,6,4] => 001110111 => [2,3,1,3] => 998
[7,4,5,8,1,3,6,2] => 1001001 => [1,2,1,2,1] => 281
[1,4,3,6,2,5,8,7] => 0101001 => [1,1,1,1,2,1] => 345
[1,4,6,3,2,5,8,7] => 0011001 => [2,2,2,1] => 211
[1,3,6,5,8,2,4,7] => 0010100 => [2,1,1,1,2] => 207
[1,4,6,3,2,8,5,7] => 0011010 => [2,2,1,1,1] => 255
[6,8,4,1,5,7,2,3] => 0110010 => [1,2,2,1,1] => 295
[5,2,6,7,4,1,8,3] => 1001101 => [1,2,2,1,1] => 295
[8,5,6,4,1,7,3,2] => 1011011 => [1,1,2,1,2] => 252
[7,8,3,1,6,4,5,2] => 0110101 => [1,2,1,1,1,1] => 345
[5,8,2,6,3,1,7,4] => 0101101 => [1,1,1,2,1,1] => 359
[4,5,8,1,6,3,7,2] => 0010101 => [2,1,1,1,1,1] => 297
[8,1,4,6,2,5,7,3] => 1001001 => [1,2,1,2,1] => 281
[4,5,8,1,6,2,7,3] => 0010101 => [2,1,1,1,1,1] => 297
[5,2,6,8,1,4,3,7] => 1001010 => [1,2,1,1,1,1] => 345
[6,7,3,8,2,1,4,5] => 0101100 => [1,1,1,2,2] => 255
[2,4,1,5,6,7,8,10,3,9] => 010000010 => [1,1,5,1,1] => 794
[2,7,3,5,4,1,8,6] => 0101101 => [1,1,1,2,1,1] => 359
[2,6,3,7,4,1,8,5] => 0101101 => [1,1,1,2,1,1] => 359
[2,1,4,8,5,3,7,6] => 1001101 => [1,2,2,1,1] => 295
[2,7,3,8,4,1,6,5] => 0101101 => [1,1,1,2,1,1] => 359
[2,6,3,1,5,4,8,7] => 0110101 => [1,2,1,1,1,1] => 345
[1,5,8,3,4,7,2,6] => 0010010 => [2,1,2,1,1] => 252
[5,3,8,1,4,6,2,7] => 1010010 => [1,1,1,2,1,1] => 359
[4,5,8,1,3,6,2,7] => 0010010 => [2,1,2,1,1] => 252
[7,4,6,5,2,8,3,1] => 1011011 => [1,1,2,1,2] => 252
[4,1,3,8,5,7,6,2] => 1001011 => [1,2,1,1,2] => 241
[4,1,3,7,2,8,6,5] => 1001011 => [1,2,1,1,2] => 241
[4,6,3,1,7,2,8,5] => 0110101 => [1,2,1,1,1,1] => 345
[7,2,6,3,1,8,5,4] => 1011011 => [1,1,2,1,2] => 252
[4,8,7,2,5,3,1,6] => 0110110 => [1,2,1,2,1] => 281
[1,6,3,2,8,7,4,5] => 0110110 => [1,2,1,2,1] => 281
[2,8,1,7,5,4,6,3] => 0101101 => [1,1,1,2,1,1] => 359
[6,8,3,1,5,7,2,4] => 0110010 => [1,2,2,1,1] => 295
[8,7,3,1,2,5,6,4] => 1110001 => [3,3,1] => 95
[1,3,5,7,2,8,4,9,6] => 00010101 => [3,1,1,1,1,1] => 572
[1,3,5,6,2,7,4,9,8] => 00010101 => [3,1,1,1,1,1] => 572
[1,3,4,5,2,7,6,9,8] => 00010101 => [3,1,1,1,1,1] => 572
[3,5,7,1,2,4,6,9,8] => 00100001 => [2,1,4,1] => 303
[1,3,5,7,2,9,4,6,8,10] => 000101000 => [3,1,1,1,3] => 858
[3,5,7,8,1,9,2,4,6] => 00010100 => [3,1,1,1,2] => 407
[1,3,5,7,2,9,4,10,6,8] => 000101010 => [3,1,1,1,1,1,1] => 2002
[3,5,6,7,1,8,2,9,4] => 00010101 => [3,1,1,1,1,1] => 572
[1,3,5,7,2,8,4,9,6,10] => 000101010 => [3,1,1,1,1,1,1] => 2002
[1,3,5,6,2,7,4,9,8,10] => 000101010 => [3,1,1,1,1,1,1] => 2002
[1,3,4,5,2,7,6,9,8,10] => 000101010 => [3,1,1,1,1,1,1] => 2002
[5,4,3,6,1,7,8,2] => 1101001 => [2,1,1,2,1] => 241
[3,2,7,8,5,6,1,4] => 1001010 => [1,2,1,1,1,1] => 345
[4,8,3,2,1,7,5,6] => 0111010 => [1,3,1,1,1] => 219
[5,1,2,6,4,7,8,3] => 1001001 => [1,2,1,2,1] => 281
[7,1,2,3,4,9,6,8,5] => 10000101 => [1,4,1,1,1] => 410
[7,1,2,3,4,8,6,9,5] => 10000101 => [1,4,1,1,1] => 410
[8,1,2,3,9,5,6,7,4] => 10001001 => [1,3,1,2,1] => 646
[7,1,2,3,9,5,6,8,4] => 10001001 => [1,3,1,2,1] => 646
[7,1,2,3,8,5,6,9,4] => 10001001 => [1,3,1,2,1] => 646
[6,1,2,3,8,5,9,7,4] => 10001011 => [1,3,1,1,2] => 551
[6,1,2,3,7,5,8,9,4] => 10001001 => [1,3,1,2,1] => 646
[6,1,2,8,4,5,9,7,3] => 10010011 => [1,2,1,2,2] => 725
[6,1,2,7,4,5,8,9,3] => 10010001 => [1,2,1,3,1] => 646
[5,1,2,7,4,9,6,8,3] => 10010101 => [1,2,1,1,1,1,1] => 1166
[5,1,2,7,4,8,6,9,3] => 10010101 => [1,2,1,1,1,1,1] => 1166
[5,1,2,6,4,7,8,9,3] => 10010001 => [1,2,1,3,1] => 646
[4,1,6,3,8,5,9,7,2] => 10101011 => [1,1,1,1,1,1,2] => 1001
[4,1,6,3,7,5,8,9,2] => 10101001 => [1,1,1,1,1,2,1] => 1166
[4,1,5,3,6,7,8,9,2] => 10100001 => [1,1,1,4,1] => 410
[10,1,2,3,4,5,7,8,9,6] => 100000001 => [1,7,1] => 65
[8,1,2,3,4,5,10,7,9,6] => 100000101 => [1,5,1,1,1] => 704
[8,1,2,3,4,5,9,7,10,6] => 100000101 => [1,5,1,1,1] => 704
[9,1,2,3,4,10,6,7,8,5] => 100001001 => [1,4,1,2,1] => 1315
[8,1,2,3,4,10,6,7,9,5] => 100001001 => [1,4,1,2,1] => 1315
[8,1,2,3,4,9,6,7,10,5] => 100001001 => [1,4,1,2,1] => 1315
[7,1,2,3,4,9,6,10,8,5] => 100001011 => [1,4,1,1,2] => 1119
[7,1,2,3,4,8,6,9,10,5] => 100001001 => [1,4,1,2,1] => 1315
[8,1,2,3,10,5,6,7,9,4] => 100010001 => [1,3,1,3,1] => 1622
[8,1,2,3,9,5,6,7,10,4] => 100010001 => [1,3,1,3,1] => 1622
[7,1,2,3,10,5,6,8,9,4] => 100010001 => [1,3,1,3,1] => 1622
[7,1,2,3,8,5,6,9,10,4] => 100010001 => [1,3,1,3,1] => 1622
[6,1,2,3,8,5,10,7,9,4] => 100010101 => [1,3,1,1,1,1,1] => 2717
[6,1,2,3,8,5,9,7,10,4] => 100010101 => [1,3,1,1,1,1,1] => 2717
[6,1,2,3,7,5,8,9,10,4] => 100010001 => [1,3,1,3,1] => 1622
[6,1,2,9,4,5,10,7,8,3] => 100100101 => [1,2,1,2,1,1,1] => 3556
[6,1,2,8,4,5,10,7,9,3] => 100100101 => [1,2,1,2,1,1,1] => 3556
[6,1,2,8,4,5,9,7,10,3] => 100100101 => [1,2,1,2,1,1,1] => 3556
[6,1,2,7,4,5,8,9,10,3] => 100100001 => [1,2,1,4,1] => 1315
[5,1,2,7,4,9,6,10,8,3] => 100101011 => [1,2,1,1,1,1,2] => 2838
[5,1,2,7,4,8,6,9,10,3] => 100101001 => [1,2,1,1,1,2,1] => 3314
[5,1,2,6,4,7,8,9,10,3] => 100100001 => [1,2,1,4,1] => 1315
[4,1,6,3,8,5,9,7,10,2] => 101010101 => [1,1,1,1,1,1,1,1,1] => 4862
[4,1,6,3,7,5,8,9,10,2] => 101010001 => [1,1,1,1,1,3,1] => 2717
[4,1,5,3,6,7,8,9,10,2] => 101000001 => [1,1,1,5,1] => 704
[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] => 133
[1,10,9,8,7,6,5,3,2,4] => 011111110 => [1,7,1] => 65
[1,9,8,7,6,3,4,2,5] => 01111010 => [1,4,1,1,1] => 410
[1,10,9,8,7,6,4,3,2,5] => 011111110 => [1,7,1] => 65
[1,9,8,7,4,5,3,2,6] => 01110110 => [1,3,1,2,1] => 646
[1,10,9,8,7,5,4,3,2,6] => 011111110 => [1,7,1] => 65
[1,9,8,5,6,4,3,2,7] => 01101110 => [1,2,1,3,1] => 646
[1,10,9,8,6,5,4,3,2,7] => 011111110 => [1,7,1] => 65
[1,8,4,5,6,3,2,7] => 0100110 => [1,1,2,2,1] => 295
[1,9,6,7,5,4,3,2,8] => 01011110 => [1,1,1,4,1] => 410
[1,10,9,7,6,5,4,3,2,8] => 011111110 => [1,7,1] => 65
[1,7,8,6,5,4,3,2,9] => 00111110 => [2,5,1] => 133
[1,10,8,7,6,5,4,3,2,9] => 011111110 => [1,7,1] => 65
[8,5,1,7,4,6,3,2] => 1101011 => [2,1,1,1,2] => 207
[3,4,8,1,6,7,2,5] => 0010010 => [2,1,2,1,1] => 252
[3,6,7,8,4,1,5,2] => 0001101 => [3,2,1,1] => 145
[2,3,7,8,4,6,1,5] => 0001010 => [3,1,1,1,1] => 165
[1,3,7,8,4,6,2,5] => 0001010 => [3,1,1,1,1] => 165
[3,1,7,8,4,6,2,5] => 1001010 => [1,2,1,1,1,1] => 345
[4,3,8,1,6,7,2,5] => 1010010 => [1,1,1,2,1,1] => 359
[4,8,7,3,6,1,2,5] => 0110100 => [1,2,1,1,2] => 241
[5,8,4,3,7,1,2,6] => 0110100 => [1,2,1,1,2] => 241
[4,1,8,3,7,5,2,6] => 1010110 => [1,1,1,1,2,1] => 345
[2,4,8,3,6,7,1,5] => 0010010 => [2,1,2,1,1] => 252
[1,6,5,8,7,3,2,4] => 0101110 => [1,1,1,3,1] => 219
[5,6,4,8,7,2,1,3] => 0101110 => [1,1,1,3,1] => 219
[7,2,6,8,3,5,1,4] => 1001010 => [1,2,1,1,1,1] => 345
[7,2,8,6,5,3,1,4] => 1011110 => [1,1,4,1] => 107
[4,8,3,7,6,1,2,5] => 0101100 => [1,1,1,2,2] => 255
[2,8,4,7,1,3,6,5] => 0101001 => [1,1,1,1,2,1] => 345
[8,9,2,3,4,5,6,1,7] => 01000010 => [1,1,4,1,1] => 450
[7,8,9,2,3,4,5,1,6] => 00100010 => [2,1,3,1,1] => 609
[6,7,8,9,2,3,4,1,5] => 00010010 => [3,1,2,1,1] => 502
[5,6,7,8,9,2,3,1,4] => 00001010 => [4,1,1,1,1] => 275
[9,10,2,3,4,5,6,7,1,8] => 010000010 => [1,1,5,1,1] => 794
[8,9,10,2,3,4,5,6,1,7] => 001000010 => [2,1,4,1,1] => 1304
[7,8,9,2,3,4,1,5,6] => 00100100 => [2,1,2,1,2] => 623
[7,8,9,10,2,3,4,5,1,6] => 000100010 => [3,1,3,1,1] => 1330
[6,7,8,9,2,3,1,4,5] => 00010100 => [3,1,1,1,2] => 407
[5,6,7,8,9,10,2,3,1,4] => 000001010 => [5,1,1,1,1] => 429
[4,5,6,7,8,1,9,2,3] => 00001010 => [4,1,1,1,1] => 275
[4,5,6,7,8,9,10,2,1,3] => 000000110 => [6,2,1] => 140
[6,8,3,4,5,2,1,7] => 0100110 => [1,1,2,2,1] => 295
[3,7,1,4,5,6,2,8] => 0100010 => [1,1,3,1,1] => 233
[7,9,3,4,5,6,2,1,8] => 01000110 => [1,1,3,2,1] => 718
[3,9,2,1,5,6,7,8,4] => 01100001 => [1,2,4,1] => 358
[3,6,1,4,5,2,7,8] => 0100100 => [1,1,2,1,2] => 252
[3,8,1,4,5,6,7,2,9] => 01000010 => [1,1,4,1,1] => 450
[8,10,3,4,5,6,7,2,1,9] => 010000110 => [1,1,4,2,1] => 1540
[6,9,3,4,5,2,7,1,8] => 01001010 => [1,1,2,1,1,1,1] => 1220
[3,8,2,4,5,1,7,6] => 0100101 => [1,1,2,1,1,1] => 359
[3,9,2,4,1,6,7,8,5] => 01010001 => [1,1,1,1,3,1] => 770
[3,7,2,1,5,6,4,8] => 0110010 => [1,2,2,1,1] => 295
[3,6,8,1,5,4,7,2] => 0010101 => [2,1,1,1,1,1] => 297
[3,8,9,1,5,6,7,4,2] => 00100011 => [2,1,3,2] => 452
[3,10,2,1,5,6,7,8,9,4] => 011000001 => [1,2,5,1] => 630
[3,7,1,4,5,6,2,8,9] => 01000100 => [1,1,3,1,2] => 609
[3,9,1,4,5,6,7,8,2,10] => 010000010 => [1,1,5,1,1] => 794
[1,7,4,6,3,5,2,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,3,6,5,7,2,4,8] => 0010100 => [2,1,1,1,2] => 207
[1,7,2,5,6,4,3,8] => 0100110 => [1,1,2,2,1] => 295
[1,6,8,5,4,3,7,2] => 0011101 => [2,3,1,1] => 171
[2,5,7,8,4,3,1,6] => 0001110 => [3,3,1] => 95
[6,8,5,3,2,4,1,7] => 0111010 => [1,3,1,1,1] => 219
[1,6,8,5,3,2,7,4] => 0011101 => [2,3,1,1] => 171
[4,6,1,8,7,5,3,2] => 0101111 => [1,1,1,4] => 75
[1,3,7,6,8,5,2,4] => 0010110 => [2,1,1,2,1] => 241
[4,1,7,8,6,5,2,3] => 1001110 => [1,2,3,1] => 185
[5,4,3,7,6,1,2,8] => 1101100 => [2,1,2,2] => 180
[4,7,6,1,2,3,8,5] => 0110001 => [1,2,3,1] => 185
[4,5,2,6,7,8,1,3] => 0100010 => [1,1,3,1,1] => 233
[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] => 98
[3,7,6,5,4,2,1,9,8] => 01111101 => [1,5,1,1] => 170
[3,2,1,6,9,8,7,5,4] => 11001111 => [2,2,4] => 185
[4,6,5,3,2,1,9,8,7] => 01111011 => [1,4,1,2] => 303
[1,7,6,2,3,8,5,4] => 0110011 => [1,2,2,2] => 211
[4,5,1,3,7,6,2,8] => 0100110 => [1,1,2,2,1] => 295
[7,2,3,8,6,4,5,1] => 1001101 => [1,2,2,1,1] => 295
[1,5,4,3,8,6,2,7] => 0110110 => [1,2,1,2,1] => 281
[1,3,7,5,8,4,6,2] => 0010101 => [2,1,1,1,1,1] => 297
[7,8,1,5,3,4,6,2] => 0101001 => [1,1,1,1,2,1] => 345
[7,3,5,4,1,6,2,8] => 1011010 => [1,1,2,1,1,1] => 359
[3,5,7,1,6,4,2,8] => 0010110 => [2,1,1,2,1] => 241
[3,7,5,6,1,4,2,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,7,5,6,3,4,8,2] => 0101001 => [1,1,1,1,2,1] => 345
[5,3,1,2,7,8,4,6] => 1100010 => [2,3,1,1] => 171
[5,1,3,7,8,2,6,4] => 1000101 => [1,3,1,1,1] => 219
[5,8,1,2,7,6,4,3] => 0100111 => [1,1,2,3] => 145
[1,6,7,4,5,3,2,8] => 0010110 => [2,1,1,2,1] => 241
[1,4,2,6,7,5,3,8] => 0100110 => [1,1,2,2,1] => 295
[1,8,2,4,6,5,3,7] => 0100110 => [1,1,2,2,1] => 295
[7,2,1,6,4,3,8,5] => 1101101 => [2,1,2,1,1] => 252
[1,4,8,7,2,3,6,5] => 0011001 => [2,2,2,1] => 211
[4,1,3,6,5,8,2,7] => 1001010 => [1,2,1,1,1,1] => 345
[4,3,7,1,5,8,2,6] => 1010010 => [1,1,1,2,1,1] => 359
[1,8,6,5,2,7,4,3] => 0111011 => [1,3,1,2] => 157
[1,8,6,2,7,4,3,5] => 0110110 => [1,2,1,2,1] => 281
[7,2,6,4,1,8,5,3] => 1011011 => [1,1,2,1,2] => 252
[6,4,1,8,3,7,5,2] => 1101011 => [2,1,1,1,2] => 207
[4,5,8,7,3,6,2,1] => 0011011 => [2,2,1,2] => 180
[3,5,4,1,7,8,6,2] => 0110011 => [1,2,2,2] => 211
[2,9,8,7,6,1,5,4,3] => 01111011 => [1,4,1,2] => 303
[6,8,7,2,1,5,4,3] => 0111011 => [1,3,1,2] => 157
[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] => 170
[2,10,9,8,7,6,1,5,4,3] => 011111011 => [1,5,1,2] => 534
[6,9,8,7,2,1,5,4,3] => 01111011 => [1,4,1,2] => 303
[7,9,8,2,1,6,5,4,3] => 01110111 => [1,3,1,3] => 332
[2,10,9,8,1,7,6,5,4,3] => 011101111 => [1,3,1,4] => 626
[8,9,2,1,7,6,5,4,3] => 01101111 => [1,2,1,4] => 235
[2,10,9,1,8,7,6,5,4,3] => 011011111 => [1,2,1,5] => 375
[8,1,6,3,7,5,4,2] => 1010111 => [1,1,1,1,3] => 165
[8,5,1,3,7,6,4,2] => 1100111 => [2,2,3] => 105
[8,3,6,5,4,2,1,7] => 1011110 => [1,1,4,1] => 107
[6,1,3,5,7,2,8,4] => 1000101 => [1,3,1,1,1] => 219
[1,6,7,5,8,4,2,3] => 0010110 => [2,1,1,2,1] => 241
[7,4,1,6,5,2,8,3] => 1101101 => [2,1,2,1,1] => 252
[7,4,2,8,6,5,3,1] => 1101111 => [2,1,4] => 55
[6,8,4,7,3,2,5,1] => 0101101 => [1,1,1,2,1,1] => 359
[5,8,7,3,2,1,6,4] => 0111101 => [1,4,1,1] => 107
[5,8,7,2,6,4,3,1] => 0110111 => [1,2,1,3] => 137
[6,8,7,3,5,1,4,2] => 0110101 => [1,2,1,1,1,1] => 345
[7,2,5,6,8,3,4,1] => 1000101 => [1,3,1,1,1] => 219
[1,6,5,7,8,3,2,4] => 0100110 => [1,1,2,2,1] => 295
[8,6,7,2,3,5,4,1] => 1010011 => [1,1,1,2,2] => 255
[5,4,8,6,7,3,1,2] => 1010110 => [1,1,1,1,2,1] => 345
[4,2,7,3,1,6,8,5] => 1011001 => [1,1,2,2,1] => 295
[7,3,6,4,2,1,8,5] => 1011101 => [1,1,3,1,1] => 233
[4,8,5,2,7,3,1,6] => 0110110 => [1,2,1,2,1] => 281
[6,4,3,1,8,5,2,7] => 1110110 => [3,1,2,1] => 137
[7,4,3,1,5,8,6,2] => 1110011 => [3,2,2] => 105
[7,4,8,6,5,3,1,2] => 1011110 => [1,1,4,1] => 107
[4,8,5,2,6,7,3,1] => 0110011 => [1,2,2,2] => 211
[7,3,2,1,8,5,6,4] => 1110101 => [3,1,1,1,1] => 165
[7,8,1,9,2,3,4,5,6] => 01010000 => [1,1,1,1,4] => 275
[6,7,8,1,9,2,3,4,5] => 00101000 => [2,1,1,1,3] => 407
[5,6,7,8,1,9,2,3,4] => 00010100 => [3,1,1,1,2] => 407
[9,1,2,3,4,5,7,6,8] => 10000010 => [1,5,1,1] => 170
[2,1,3,4,5,9,6,7,8] => 10000100 => [1,4,1,2] => 303
[1,5,7,2,4,3,8,6] => 0010101 => [2,1,1,1,1,1] => 297
[1,2,7,5,8,4,3,6] => 0010110 => [2,1,1,2,1] => 241
[5,1,3,8,2,7,4,6] => 1001010 => [1,2,1,1,1,1] => 345
[5,7,1,3,2,8,4,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[7,1,6,3,2,8,4,5] => 1011010 => [1,1,2,1,1,1] => 359
[8,1,7,2,3,6,5,4] => 1010011 => [1,1,1,2,2] => 255
[7,1,2,6,4,3,8,5] => 1001101 => [1,2,2,1,1] => 295
[1,4,7,8,3,2,5,6] => 0001100 => [3,2,2] => 105
[8,7,1,3,2,4,6,5] => 1101001 => [2,1,1,2,1] => 241
[8,1,6,3,2,4,7,5] => 1011001 => [1,1,2,2,1] => 295
[1,8,2,7,6,3,5,4] => 0101101 => [1,1,1,2,1,1] => 359
[8,1,6,3,2,7,4,5] => 1011010 => [1,1,2,1,1,1] => 359
[8,2,1,7,6,3,4,5] => 1101100 => [2,1,2,2] => 180
[6,8,4,3,5,1,2,7] => 0110100 => [1,2,1,1,2] => 241
[8,7,3,5,4,1,2,6] => 1101100 => [2,1,2,2] => 180
[6,3,8,5,7,2,1,4] => 1010110 => [1,1,1,1,2,1] => 345
[8,7,3,6,4,1,2,5] => 1101100 => [2,1,2,2] => 180
[5,2,7,4,6,1,3,8] => 1010100 => [1,1,1,1,1,2] => 297
[8,7,2,3,5,1,4,6] => 1100100 => [2,2,1,2] => 180
[7,6,3,4,1,8,2,5] => 1101010 => [2,1,1,1,1,1] => 297
[6,3,5,2,8,1,4,7] => 1010100 => [1,1,1,1,1,2] => 297
[6,4,5,3,1,7,2,8] => 1011010 => [1,1,2,1,1,1] => 359
[8,7,2,4,3,1,5,6] => 1101100 => [2,1,2,2] => 180
[7,6,2,3,1,4,8,5] => 1101001 => [2,1,1,2,1] => 241
[4,7,6,2,3,1,5,8] => 0110100 => [1,2,1,1,2] => 241
[4,7,6,1,3,2,8,5] => 0110101 => [1,2,1,1,1,1] => 345
[7,2,6,5,4,3,1,9,8] => 10111101 => [1,1,4,1,1] => 450
[3,2,1,9,5,8,7,6,4] => 11010111 => [2,1,1,1,3] => 407
[6,3,5,4,2,1,9,8,7] => 10111011 => [1,1,3,1,2] => 609
[4,3,2,1,9,7,8,6,5] => 11101011 => [3,1,1,1,2] => 407
[2,8,1,3,5,6,4,7] => 0100010 => [1,1,3,1,1] => 233
[2,6,3,4,7,8,5,1] => 0100011 => [1,1,3,2] => 171
[7,6,3,1,8,5,2,4] => 1110110 => [3,1,2,1] => 137
[7,2,1,3,6,8,5,4] => 1100011 => [2,3,2] => 126
[7,6,3,8,1,5,2,4] => 1101010 => [2,1,1,1,1,1] => 297
[1,6,4,7,8,5,3,2] => 0100111 => [1,1,2,3] => 145
[7,2,5,8,6,1,3,4] => 1001100 => [1,2,2,2] => 211
[4,1,3,6,2,5,8,7] => 1001001 => [1,2,1,2,1] => 281
[7,1,4,6,3,2,5,8] => 1001100 => [1,2,2,2] => 211
[7,4,5,8,6,2,3,1] => 1001101 => [1,2,2,1,1] => 295
[6,7,2,3,8,4,1,5] => 0100110 => [1,1,2,2,1] => 295
[1,5,2,6,8,7,4,3] => 0100111 => [1,1,2,3] => 145
[1,2,3,4,5,6,8,9,7,10] => 000000010 => [7,1,1] => 44
[1,8,3,7,5,2,6,4] => 0101101 => [1,1,1,2,1,1] => 359
[8,1,3,6,5,2,7,4] => 1001101 => [1,2,2,1,1] => 295
[7,1,3,8,5,2,6,4] => 1001101 => [1,2,2,1,1] => 295
[4,7,1,5,2,6,8,3] => 0101001 => [1,1,1,1,2,1] => 345
[7,4,1,5,2,6,8,3] => 1101001 => [2,1,1,2,1] => 241
[3,1,6,7,5,2,8,4] => 1001101 => [1,2,2,1,1] => 295
[8,6,2,4,5,1,7,3] => 1100101 => [2,2,1,1,1] => 255
[8,6,7,5,2,1,4,3] => 1011101 => [1,1,3,1,1] => 233
[7,1,4,5,2,6,8,3] => 1001001 => [1,2,1,2,1] => 281
[4,1,6,2,3,8,7,5] => 1010011 => [1,1,1,2,2] => 255
[4,1,7,6,5,2,8,3] => 1011101 => [1,1,3,1,1] => 233
[8,4,1,5,6,2,7,3] => 1100101 => [2,2,1,1,1] => 255
[8,4,5,3,6,1,7,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[2,8,4,7,3,5,6,1] => 0101001 => [1,1,1,1,2,1] => 345
[1,5,4,8,3,2,6,7] => 0101100 => [1,1,1,2,2] => 255
[1,5,7,6,3,8,2,4] => 0011010 => [2,2,1,1,1] => 255
[2,6,3,1,7,8,4,5] => 0110010 => [1,2,2,1,1] => 295
[2,1,7,8,3,5,4,6] => 1001010 => [1,2,1,1,1,1] => 345
[1,5,8,6,7,4,2,3] => 0010110 => [2,1,1,2,1] => 241
[8,7,1,3,5,2,6,4] => 1100101 => [2,2,1,1,1] => 255
[3,7,8,2,5,4,1,6] => 0010110 => [2,1,1,2,1] => 241
[4,7,6,5,8,1,3,2] => 0110101 => [1,2,1,1,1,1] => 345
[4,7,8,6,2,1,5,3] => 0011101 => [2,3,1,1] => 171
[4,8,6,3,2,1,7,5] => 0111101 => [1,4,1,1] => 107
[5,1,4,7,6,8,3,2] => 1001011 => [1,2,1,1,2] => 241
[5,6,4,7,1,8,3,2] => 0101011 => [1,1,1,1,1,2] => 297
[5,3,7,4,6,1,8,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,1,5,7,8,6,3,2] => 1000111 => [1,3,3] => 95
[3,6,7,1,5,4,8,2] => 0010101 => [2,1,1,1,1,1] => 297
[3,6,4,7,5,8,2,1] => 0101011 => [1,1,1,1,1,2] => 297
[9,1,2,3,4,8,6,5,7] => 10000110 => [1,4,2,1] => 358
[9,1,2,3,8,5,6,4,7] => 10001010 => [1,3,1,1,1,1] => 770
[8,1,2,9,4,5,6,3,7] => 10010010 => [1,2,1,2,1,1] => 1006
[9,1,8,3,4,5,6,2,7] => 10100010 => [1,1,1,3,1,1] => 842
[7,1,2,3,4,9,5,8,6] => 10000101 => [1,4,1,1,1] => 410
[10,1,2,3,4,5,9,7,6,8] => 100000110 => [1,5,2,1] => 630
[6,1,2,3,8,4,5,9,7] => 10001001 => [1,3,1,2,1] => 646
[10,1,2,3,4,9,6,7,5,8] => 100001010 => [1,4,1,1,1,1] => 1529
[5,1,2,8,3,4,6,9,7] => 10010001 => [1,2,1,3,1] => 646
[9,1,2,3,10,5,6,7,4,8] => 100010010 => [1,3,1,2,1,1] => 2407
[4,1,9,2,3,5,6,8,7] => 10100001 => [1,1,1,4,1] => 410
[10,1,2,9,4,5,6,7,3,8] => 100100010 => [1,2,1,3,1,1] => 2548
[3,8,1,2,4,5,6,9,7] => 01000001 => [1,1,5,1] => 170
[10,1,9,3,4,5,6,7,2,8] => 101000010 => [1,1,1,4,1,1] => 1754
[8,2,1,3,4,5,6,9,7] => 11000001 => [2,5,1] => 133
[8,1,2,3,4,5,10,6,9,7] => 100000101 => [1,5,1,1,1] => 704
[9,1,2,3,8,5,4,7,6] => 10001101 => [1,3,2,1,1] => 685
[7,1,2,3,4,9,5,6,10,8] => 100001001 => [1,4,1,2,1] => 1315
[6,1,2,3,9,4,7,8,5] => 10001001 => [1,3,1,2,1] => 646
[6,1,2,3,9,4,5,7,10,8] => 100010001 => [1,3,1,3,1] => 1622
[5,1,2,8,3,6,4,9,7] => 10010101 => [1,2,1,1,1,1,1] => 1166
[5,1,2,10,3,4,6,7,9,8] => 100100001 => [1,2,1,4,1] => 1315
[9,8,2,1,4,5,6,7,3] => 11100001 => [3,4,1] => 196
[8,1,7,3,2,4,5,6] => 1011000 => [1,1,2,3] => 145
[4,1,8,2,5,3,6,9,7] => 10101001 => [1,1,1,1,1,2,1] => 1166
[4,1,9,2,3,5,6,7,10,8] => 101000001 => [1,1,1,5,1] => 704
[3,9,1,4,2,5,6,8,7] => 01010001 => [1,1,1,1,3,1] => 770
[3,9,1,2,4,5,6,7,10,8] => 010000001 => [1,1,6,1] => 254
[8,2,3,1,4,5,6,9,7] => 10100001 => [1,1,1,4,1] => 410
[10,2,1,3,4,5,6,7,9,8] => 110000001 => [2,6,1] => 204
[6,4,7,1,5,2,8,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,8,1,3,5,2,7,6] => 0100101 => [1,1,2,1,1,1] => 359
[1,6,5,2,8,7,4,3] => 0110111 => [1,2,1,3] => 137
[2,3,4,5,7,8,1,9,6] => 00000101 => [5,1,1,1] => 110
[1,3,4,5,2,6,7,8,9] => 00010000 => [3,1,4] => 125
[1,2,3,4,5,7,8,6,9,10] => 000000100 => [6,1,2] => 119
[2,3,4,5,7,9,1,6,8] => 00000100 => [5,1,2] => 83
[1,2,3,4,5,7,8,9,6,10] => 000000010 => [7,1,1] => 44
[2,3,4,5,1,6,7,9,8] => 00010001 => [3,1,3,1] => 332
[4,5,6,1,7,8,9,2,3] => 00100010 => [2,1,3,1,1] => 609
[2,1,4,5,3,6,7,8,9] => 10010000 => [1,2,1,4] => 235
[2,4,5,6,1,7,8,9,10,3] => 000100001 => [3,1,4,1] => 709
[1,3,2,5,4,6,7,8,9] => 01010000 => [1,1,1,1,4] => 275
[2,3,5,6,1,7,8,9,10,4] => 000100001 => [3,1,4,1] => 709
[4,1,7,2,5,8,3,6] => 1010010 => [1,1,1,2,1,1] => 359
[3,2,5,8,6,1,7,4] => 1001101 => [1,2,2,1,1] => 295
[4,5,1,7,2,8,6,3] => 0101011 => [1,1,1,1,1,2] => 297
[2,8,5,3,6,7,4,1] => 0110011 => [1,2,2,2] => 211
[2,3,4,5,9,8,6,7,1] => 00001101 => [4,2,1,1] => 250
[2,3,4,9,7,5,8,6,1] => 00011011 => [3,2,1,2] => 371
[2,3,9,6,4,7,8,5,1] => 00110011 => [2,2,2,2] => 554
[8,3,5,2,6,7,4,1] => 1010011 => [1,1,1,2,2] => 255
[2,8,6,3,4,7,5,1] => 0110011 => [1,2,2,2] => 211
[2,9,5,3,6,7,8,4,1] => 01100011 => [1,2,3,2] => 533
[9,4,2,5,6,7,8,3,1] => 11000011 => [2,4,2] => 262
[6,4,7,2,5,3,1,8] => 1010110 => [1,1,1,1,2,1] => 345
[7,1,4,3,6,8,2,5] => 1010010 => [1,1,1,2,1,1] => 359
[6,3,1,5,4,8,7,2] => 1101011 => [2,1,1,1,2] => 207
[4,1,6,2,8,3,5,7,9] => 10101000 => [1,1,1,1,1,3] => 572
[4,1,6,2,8,3,9,5,7] => 10101010 => [1,1,1,1,1,1,1,1] => 1430
[4,1,6,2,7,3,8,5,9] => 10101010 => [1,1,1,1,1,1,1,1] => 1430
[7,1,3,8,5,4,2,6] => 1001110 => [1,2,3,1] => 185
[4,8,7,3,5,1,6,2] => 0110101 => [1,2,1,1,1,1] => 345
[5,3,8,7,1,6,2,4] => 1011010 => [1,1,2,1,1,1] => 359
[3,4,1,6,2,8,7,5] => 0101011 => [1,1,1,1,1,2] => 297
[5,2,6,7,4,3,1,8] => 1001110 => [1,2,3,1] => 185
[8,5,1,6,4,3,2,7] => 1101110 => [2,1,3,1] => 157
[8,6,3,5,2,7,1,4] => 1101010 => [2,1,1,1,1,1] => 297
[8,4,6,2,1,5,7,3] => 1011001 => [1,1,2,2,1] => 295
[8,5,2,1,6,4,7,3] => 1110101 => [3,1,1,1,1] => 165
[1,7,2,8,5,4,6,3] => 0101101 => [1,1,1,2,1,1] => 359
[6,7,1,4,8,5,3,2] => 0100111 => [1,1,2,3] => 145
[7,3,2,8,5,1,4,6] => 1101100 => [2,1,2,2] => 180
[4,1,7,3,2,8,5,6] => 1011010 => [1,1,2,1,1,1] => 359
[8,3,5,2,4,7,1,6] => 1010010 => [1,1,1,2,1,1] => 359
[4,3,7,8,6,1,5,2] => 1001101 => [1,2,2,1,1] => 295
[1,2,6,3,7,8,5,4] => 0010011 => [2,1,2,2] => 180
[6,1,3,7,8,5,4,2] => 1000111 => [1,3,3] => 95
[8,7,9,1,4,5,6,2,3] => 10100010 => [1,1,1,3,1,1] => 842
[7,6,9,1,4,5,2,8,3] => 10100101 => [1,1,1,2,1,1,1] => 1234
[9,8,10,1,4,5,6,7,2,3] => 101000010 => [1,1,1,4,1,1] => 1754
[2,6,4,7,5,3,1,8] => 0101110 => [1,1,1,3,1] => 219
[5,6,3,7,2,8,4,1] => 0101011 => [1,1,1,1,1,2] => 297
[4,5,1,8,6,2,7,3] => 0101101 => [1,1,1,2,1,1] => 359
[5,6,1,8,7,2,3,4] => 0101100 => [1,1,1,2,2] => 255
[4,5,1,6,8,7,3,2] => 0100111 => [1,1,2,3] => 145
[3,9,2,4,5,6,7,8,1] => 01000001 => [1,1,5,1] => 170
[3,8,6,1,5,2,4,7] => 0110100 => [1,2,1,1,2] => 241
[3,2,8,1,5,6,4,7] => 1010010 => [1,1,1,2,1,1] => 359
[5,8,7,3,2,1,4,6] => 0111100 => [1,4,2] => 81
[3,4,7,6,8,2,1,5] => 0010110 => [2,1,1,2,1] => 241
[2,8,1,3,7,5,6,4] => 0100101 => [1,1,2,1,1,1] => 359
[1,8,7,2,5,6,4,3] => 0110011 => [1,2,2,2] => 211
[3,4,7,1,5,8,2,6] => 0010010 => [2,1,2,1,1] => 252
[4,2,7,1,5,8,3,6] => 1010010 => [1,1,1,2,1,1] => 359
[1,3,5,2,4,6,7,8,9] => 00100000 => [2,1,5] => 83
[4,1,2,3,5,6,8,7,9] => 10000010 => [1,5,1,1] => 170
[1,2,4,7,3,5,6,8,9] => 00010000 => [3,1,4] => 125
[5,1,2,3,4,7,6,8,9] => 10000100 => [1,4,1,2] => 303
[2,4,6,3,5,1,7,8] => 0010100 => [2,1,1,1,2] => 207
[4,1,6,2,5,8,3,7] => 1010010 => [1,1,1,2,1,1] => 359
[1,8,2,5,7,3,4,6] => 0100100 => [1,1,2,1,2] => 252
[1,4,6,3,8,5,2,7] => 0010110 => [2,1,1,2,1] => 241
[4,5,6,3,1,7,2,8] => 0011010 => [2,2,1,1,1] => 255
[3,4,6,2,5,1,7,8] => 0010100 => [2,1,1,1,2] => 207
[1,4,7,5,2,3,6,8] => 0011000 => [2,2,3] => 105
[1,4,6,5,8,2,3,7] => 0010100 => [2,1,1,1,2] => 207
[1,4,8,3,7,6,2,5] => 0010110 => [2,1,1,2,1] => 241
[1,4,5,3,7,2,6,8] => 0010100 => [2,1,1,1,2] => 207
[2,5,7,6,8,3,4,1] => 0010101 => [2,1,1,1,1,1] => 297
[3,1,6,7,2,8,5,4] => 1001011 => [1,2,1,1,2] => 241
[1,5,3,6,8,4,7,2] => 0100101 => [1,1,2,1,1,1] => 359
[6,5,1,3,8,4,7,2] => 1100101 => [2,2,1,1,1] => 255
[1,7,4,8,5,3,2,6] => 0101110 => [1,1,1,3,1] => 219
[7,3,1,6,8,4,5,2] => 1100101 => [2,2,1,1,1] => 255
[8,5,1,4,6,7,3,2] => 1100011 => [2,3,2] => 126
[3,4,7,5,6,8,2,1] => 0010011 => [2,1,2,2] => 180
[3,4,7,8,5,2,6,1] => 0001101 => [3,2,1,1] => 145
[7,4,2,3,6,5,1,8] => 1100110 => [2,2,2,1] => 211
[7,2,4,3,1,5,6,8] => 1011000 => [1,1,2,3] => 145
[6,3,1,4,8,5,7,2] => 1100101 => [2,2,1,1,1] => 255
[6,3,5,4,8,7,1,2] => 1010110 => [1,1,1,1,2,1] => 345
[2,6,4,3,1,7,5,8] => 0111010 => [1,3,1,1,1] => 219
[4,8,1,7,5,6,3,2] => 0101011 => [1,1,1,1,1,2] => 297
[1,5,7,2,8,4,6,3] => 0010101 => [2,1,1,1,1,1] => 297
[5,8,7,2,3,6,4,1] => 0110011 => [1,2,2,2] => 211
[4,6,5,1,2,3,7,8] => 0110000 => [1,2,4] => 65
[1,8,7,5,2,6,3,4] => 0111010 => [1,3,1,1,1] => 219
[1,7,6,3,4,5,8,2] => 0110001 => [1,2,3,1] => 185
[1,8,7,4,5,6,2,3] => 0110010 => [1,2,2,1,1] => 295
[1,8,7,3,6,4,2,5] => 0110110 => [1,2,1,2,1] => 281
[1,4,7,5,8,2,6,3] => 0010101 => [2,1,1,1,1,1] => 297
[1,4,7,2,3,6,5,8] => 0010010 => [2,1,2,1,1] => 252
[1,7,2,5,6,3,4,8] => 0100100 => [1,1,2,1,2] => 252
[1,2,6,5,8,3,4,7] => 0010100 => [2,1,1,1,2] => 207
[1,5,8,2,6,3,4,7] => 0010100 => [2,1,1,1,2] => 207
[6,8,3,2,7,5,1,4] => 0110110 => [1,2,1,2,1] => 281
[7,3,6,8,1,2,5,4] => 1001001 => [1,2,1,2,1] => 281
[4,1,5,7,2,6,3,8] => 1001010 => [1,2,1,1,1,1] => 345
[5,7,2,1,3,6,4,8] => 0110010 => [1,2,2,1,1] => 295
[7,1,10,9,2,3,4,5,6,8] => 101100000 => [1,1,2,5] => 399
[6,7,9,1,2,3,4,5,10,8] => 001000001 => [2,1,5,1] => 534
[2,8,1,9,10,3,4,5,6,7] => 010010000 => [1,1,2,1,4] => 901
[8,7,1,10,2,3,4,5,6,9] => 110100000 => [2,1,1,5] => 319
[3,5,6,7,2,4,1,8] => 0001010 => [3,1,1,1,1] => 165
[6,4,7,5,2,3,1,8] => 1011010 => [1,1,2,1,1,1] => 359
[1,5,6,4,8,3,2,7] => 0010110 => [2,1,1,2,1] => 241
[2,1,5,6,4,8,3,7] => 1001010 => [1,2,1,1,1,1] => 345
[5,1,4,7,8,6,2,3] => 1000110 => [1,3,2,1] => 185
[1,6,7,2,8,5,4,3] => 0010111 => [2,1,1,3] => 117
[5,3,2,1,7,8,6,4] => 1110011 => [3,2,2] => 105
[7,4,3,8,6,1,5,2] => 1101101 => [2,1,2,1,1] => 252
[4,3,7,1,5,8,6,2] => 1010011 => [1,1,1,2,2] => 255
[8,2,4,5,3,1,7,6] => 1001101 => [1,2,2,1,1] => 295
[1,4,3,2,7,5,8,6] => 0110101 => [1,2,1,1,1,1] => 345
[1,5,2,8,6,3,10,9,7,4] => 010110111 => [1,1,1,2,1,3] => 1806
[4,1,5,2,8,6,3,10,9,7] => 101011011 => [1,1,1,1,2,1,2] => 3054
[1,7,5,2,8,6,3,10,9,4] => 011011011 => [1,2,1,2,1,2] => 2550
[4,1,7,5,2,8,3,10,9,6] => 101101011 => [1,1,2,1,1,1,2] => 2982
[6,4,1,7,5,2,8,3,10,9] => 110110101 => [2,1,2,1,1,1,1] => 3054
[3,4,1,7,2,8,5,10,9,6] => 010101011 => [1,1,1,1,1,1,1,2] => 3432
[3,6,4,1,7,2,8,5,10,9] => 011010101 => [1,2,1,1,1,1,1,1] => 4004
[1,5,2,9,8,6,3,10,7,4] => 010111011 => [1,1,1,3,1,2] => 2256
[4,1,5,2,9,8,6,3,10,7] => 101011101 => [1,1,1,1,3,1,1] => 3014
[1,7,5,2,9,6,3,10,8,4] => 011011011 => [1,2,1,2,1,2] => 2550
[4,1,7,5,2,9,3,10,8,6] => 101101011 => [1,1,2,1,1,1,2] => 2982
[4,1,9,6,5,2,7,3,10,8] => 101110101 => [1,1,3,1,1,1,1] => 3014
[3,4,1,7,2,9,5,10,8,6] => 010101011 => [1,1,1,1,1,1,1,2] => 3432
[3,6,1,9,4,2,7,5,10,8] => 010110101 => [1,1,1,2,1,1,1,1] => 4274
[1,8,7,5,2,9,6,3,10,4] => 011101101 => [1,3,1,2,1,1] => 2407
[4,1,8,7,5,2,9,3,10,6] => 101110101 => [1,1,3,1,1,1,1] => 3014
[6,4,1,8,5,2,9,3,10,7] => 110110101 => [2,1,2,1,1,1,1] => 3054
[7,6,4,1,8,5,2,9,3,10] => 111011010 => [3,1,2,1,1,1] => 1806
[3,4,1,8,7,2,9,5,10,6] => 010110101 => [1,1,1,2,1,1,1,1] => 4274
[3,6,4,1,8,2,9,5,10,7] => 011010101 => [1,2,1,1,1,1,1,1] => 4004
[3,7,6,4,1,8,2,9,5,10] => 011101010 => [1,3,1,1,1,1,1] => 2717
[1,9,6,5,2,7,3,10,8,4] => 011101011 => [1,3,1,1,1,2] => 1947
[6,1,9,4,2,7,3,10,8,5] => 101101011 => [1,1,2,1,1,1,2] => 2982
[5,4,1,9,6,2,7,3,10,8] => 110110101 => [2,1,2,1,1,1,1] => 3054
[9,3,1,6,2,7,4,10,8,5] => 110101011 => [2,1,1,1,1,1,2] => 2431
[9,5,3,1,6,2,7,4,10,8] => 111010101 => [3,1,1,1,1,1,1] => 2002
[6,1,8,5,2,9,7,3,10,4] => 101101101 => [1,1,2,1,2,1,1] => 3667
[6,4,1,8,2,9,7,3,10,5] => 110101101 => [2,1,1,1,2,1,1] => 2982
[8,5,4,1,6,2,9,3,10,7] => 111010101 => [3,1,1,1,1,1,1] => 2002
[5,7,4,1,8,6,2,9,3,10] => 011011010 => [1,2,1,2,1,1,1] => 3556
[3,6,1,8,2,9,7,4,10,5] => 010101101 => [1,1,1,1,1,2,1,1] => 4202
[5,8,3,1,6,2,9,4,10,7] => 011010101 => [1,2,1,1,1,1,1,1] => 4004
[5,3,7,1,8,6,2,9,4,10] => 101011010 => [1,1,1,1,2,1,1,1] => 4274
[4,3,8,1,9,5,2,6,10,7] => 101011001 => [1,1,1,1,2,2,1] => 3584
[7,4,3,5,1,8,2,9,6,10] => 110101010 => [2,1,1,1,1,1,1,1] => 3432
[9,6,2,1,3,7,4,10,8,5] => 111001011 => [3,2,1,1,2] => 1318
[5,9,2,1,6,3,7,4,10,8] => 011010101 => [1,2,1,1,1,1,1,1] => 4004
[6,8,2,1,3,9,7,4,10,5] => 011001101 => [1,2,2,2,1,1] => 3164
[8,2,5,1,6,3,9,4,10,7] => 101010101 => [1,1,1,1,1,1,1,1,1] => 4862
[2,5,7,1,8,6,3,9,4,10] => 001011010 => [2,1,1,2,1,1,1] => 3040
[2,4,8,1,9,5,3,6,10,7] => 001011001 => [2,1,1,2,2,1] => 2558
[4,8,7,2,6,1,3,5] => 0110100 => [1,2,1,1,2] => 241
[4,5,8,2,1,7,3,6] => 0011010 => [2,2,1,1,1] => 255
[6,8,4,1,7,3,2,5] => 0110110 => [1,2,1,2,1] => 281
[5,6,4,3,2,1,7,8,9] => 01111000 => [1,4,3] => 196
[5,6,4,3,2,1,7,8,9,10] => 011110000 => [1,4,4] => 406
[4,5,3,2,1,6,7,8,9] => 01110000 => [1,3,4] => 175
[6,7,5,4,3,2,1,8,9,10] => 011111000 => [1,5,3] => 364
[6,7,4,3,2,1,5,8,9] => 01111000 => [1,4,3] => 196
[5,6,4,3,2,7,1,8,9] => 01110100 => [1,3,1,1,2] => 551
[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] => 242
[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] => 98
[7,8,10,9,6,5,4,3,2,1] => 001111111 => [2,7] => 36
[6,7,5,9,8,4,3,2,1] => 01011111 => [1,1,1,5] => 110
[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] => 275
[6,5,8,9,7,4,3,2,1] => 10011111 => [1,2,5] => 98
[8,7,9,10,6,5,4,3,2,1] => 100111111 => [1,2,6] => 140
[6,3,1,8,2,7,5,4] => 1101011 => [2,1,1,1,2] => 207
[6,4,1,3,2,5,7,8] => 1101000 => [2,1,1,3] => 117
[4,1,7,8,3,2,5,6] => 1001100 => [1,2,2,2] => 211
[5,4,7,1,3,6,2,8] => 1010010 => [1,1,1,2,1,1] => 359
[7,6,2,8,4,5,3,1] => 1101011 => [2,1,1,1,2] => 207
[5,8,2,1,3,6,4,7] => 0110010 => [1,2,2,1,1] => 295
[7,6,4,3,5,2,1,9,8] => 11101101 => [3,1,2,1,1] => 502
[7,6,3,5,4,2,1,9,8] => 11011101 => [2,1,3,1,1] => 609
[8,5,1,7,3,4,6,2] => 1101001 => [2,1,1,2,1] => 241
[5,7,6,3,4,1,8,2] => 0110101 => [1,2,1,1,1,1] => 345
[7,8,9,10,1,5,6,3,4,2] => 000100101 => [3,1,2,1,1,1] => 1806
[1,8,3,5,2,6,4,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,4,6,1,8,5,7,2] => 0010101 => [2,1,1,1,1,1] => 297
[2,3,8,7,4,5,1,6] => 0011010 => [2,2,1,1,1] => 255
[1,8,3,5,7,4,2,6] => 0100110 => [1,1,2,2,1] => 295
[2,5,8,4,6,7,1,3] => 0010010 => [2,1,2,1,1] => 252
[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] => 211
[7,1,2,6,5,3,4,8] => 1001100 => [1,2,2,2] => 211
[4,7,8,6,2,3,5,1] => 0011001 => [2,2,2,1] => 211
[7,1,2,4,8,6,5,3] => 1000111 => [1,3,3] => 95
[2,7,5,6,4,8,1,3] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,8,3,6,5,7,1,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[9,8,4,7,6,5,3,2,1] => 11011111 => [2,1,5] => 83
[9,8,3,7,6,5,4,2,1] => 11011111 => [2,1,5] => 83
[9,3,8,7,6,5,4,2,1] => 10111111 => [1,1,6] => 35
[9,2,8,7,6,5,4,3,1] => 10111111 => [1,1,6] => 35
[10,9,8,5,7,6,4,3,2,1] => 111011111 => [3,1,5] => 209
[9,8,4,6,5,7,3,2,1] => 11010111 => [2,1,1,1,3] => 407
[10,9,8,4,7,6,5,3,2,1] => 111011111 => [3,1,5] => 209
[9,8,3,6,5,4,7,2,1] => 11011011 => [2,1,2,1,2] => 623
[10,9,4,8,7,6,5,3,2,1] => 110111111 => [2,1,6] => 119
[9,3,7,6,5,4,8,2,1] => 10111011 => [1,1,3,1,2] => 609
[9,2,7,6,5,4,3,8,1] => 10111101 => [1,1,4,1,1] => 450
[10,3,9,8,7,6,5,4,2,1] => 101111111 => [1,1,7] => 44
[10,2,9,8,7,6,5,4,3,1] => 101111111 => [1,1,7] => 44
[7,4,3,1,6,5,2,8] => 1110110 => [3,1,2,1] => 137
[3,5,1,2,6,8,7,4] => 0100011 => [1,1,3,2] => 171
[3,1,2,4,8,7,5,6] => 1000110 => [1,3,2,1] => 185
[5,4,1,2,3,7,8,6] => 1100001 => [2,4,1] => 81
[1,6,7,2,5,8,3,4] => 0010010 => [2,1,2,1,1] => 252
[7,8,5,6,2,4,3,1] => 0101011 => [1,1,1,1,1,2] => 297
[5,3,8,6,2,4,1,7] => 1011010 => [1,1,2,1,1,1] => 359
[2,7,4,6,3,8,1,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,4,7,8,6,2,1,3] => 1001110 => [1,2,3,1] => 185
[2,7,4,8,3,1,5,6] => 0101100 => [1,1,1,2,2] => 255
[8,2,1,3,7,4,6,5] => 1100101 => [2,2,1,1,1] => 255
[6,5,8,2,3,4,7,1] => 1010001 => [1,1,1,3,1] => 219
[7,8,2,3,6,4,5,1] => 0100101 => [1,1,2,1,1,1] => 359
[8,1,2,7,5,3,4,6] => 1001100 => [1,2,2,2] => 211
[4,2,8,1,3,7,5,6] => 1010010 => [1,1,1,2,1,1] => 359
[7,5,1,8,2,3,4,6] => 1101000 => [2,1,1,3] => 117
[8,2,4,1,3,7,5,6] => 1010010 => [1,1,1,2,1,1] => 359
[8,1,6,2,3,7,4,5] => 1010010 => [1,1,1,2,1,1] => 359
[7,1,8,2,3,6,4,5] => 1010010 => [1,1,1,2,1,1] => 359
[4,2,6,7,5,1,8,3] => 1001101 => [1,2,2,1,1] => 295
[4,7,2,5,3,8,1,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,5,7,4,2,8,1,6] => 0011010 => [2,2,1,1,1] => 255
[2,4,7,6,3,8,1,5] => 0011010 => [2,2,1,1,1] => 255
[4,6,8,5,1,2,3,7] => 0011000 => [2,2,3] => 105
[4,6,5,7,1,2,3,8] => 0101000 => [1,1,1,1,3] => 165
[4,6,5,7,1,3,8,2] => 0101001 => [1,1,1,1,2,1] => 345
[3,4,7,6,1,8,2,5] => 0011010 => [2,2,1,1,1] => 255
[8,5,2,1,6,3,4,7] => 1110100 => [3,1,1,2] => 117
[7,1,8,5,3,2,4,6] => 1011100 => [1,1,3,2] => 171
[9,10,2,1,6,4,3,5,7,8] => 011011000 => [1,2,1,2,3] => 1544
[7,10,2,1,8,4,3,5,6,9] => 011011000 => [1,2,1,2,3] => 1544
[2,9,1,10,7,4,3,5,6,8] => 010111000 => [1,1,1,3,3] => 1414
[2,8,1,9,4,3,10,5,6,7] => 010110100 => [1,1,1,2,1,1,2] => 3040
[10,8,5,2,1,6,3,4,7,9] => 111101000 => [4,1,1,3] => 451
[9,5,2,1,10,6,3,4,7,8] => 111011000 => [3,1,2,3] => 802
[10,7,2,1,8,5,3,4,6,9] => 111011000 => [3,1,2,3] => 802
[9,2,1,10,7,5,3,4,6,8] => 110111000 => [2,1,3,3] => 1038
[2,8,1,9,3,10,5,4,6,7] => 010101100 => [1,1,1,1,1,2,2] => 3036
[10,6,2,1,7,3,8,4,5,9] => 111010100 => [3,1,1,1,1,2] => 1430
[9,2,1,10,6,3,7,4,5,8] => 110110100 => [2,1,2,1,1,2] => 2179
[8,2,1,9,3,10,6,4,5,7] => 110101100 => [2,1,1,1,2,2] => 2161
[7,2,1,8,3,9,4,10,5,6] => 110101010 => [2,1,1,1,1,1,1,1] => 3432
[10,8,6,3,1,4,2,5,7,9] => 111101000 => [4,1,1,3] => 451
[3,9,1,10,6,4,2,5,7,8] => 010111000 => [1,1,1,3,3] => 1414
[10,7,3,1,8,4,2,5,6,9] => 111011000 => [3,1,2,3] => 802
[9,3,1,10,7,4,2,5,6,8] => 110111000 => [2,1,3,3] => 1038
[8,3,1,9,4,2,10,5,6,7] => 110110100 => [2,1,2,1,1,2] => 2179
[10,8,5,1,6,3,2,4,7,9] => 111011000 => [3,1,2,3] => 802
[9,5,1,10,6,3,2,4,7,8] => 110111000 => [2,1,3,3] => 1038
[10,7,1,8,5,3,2,4,6,9] => 110111000 => [2,1,3,3] => 1038
[9,1,10,7,5,3,2,4,6,8] => 101111000 => [1,1,4,3] => 854
[8,3,1,9,2,10,5,4,6,7] => 110101100 => [2,1,1,1,2,2] => 2161
[10,6,1,7,3,2,8,4,5,9] => 110110100 => [2,1,2,1,1,2] => 2179
[9,1,10,6,3,2,7,4,5,8] => 101110100 => [1,1,3,1,1,2] => 2172
[8,1,9,3,2,10,6,4,5,7] => 101101100 => [1,1,2,1,2,2] => 2661
[7,1,8,3,2,9,4,10,5,6] => 101101010 => [1,1,2,1,1,1,1,1] => 4202
[10,8,4,1,5,2,6,3,7,9] => 111010100 => [3,1,1,1,1,2] => 1430
[9,4,1,10,5,2,6,3,7,8] => 110110100 => [2,1,2,1,1,2] => 2179
[10,7,1,8,4,2,5,3,6,9] => 110110100 => [2,1,2,1,1,2] => 2179
[9,1,10,7,4,2,5,3,6,8] => 101110100 => [1,1,3,1,1,2] => 2172
[8,1,9,4,2,10,5,3,6,7] => 101101100 => [1,1,2,1,2,2] => 2661
[10,6,1,7,2,8,4,3,5,9] => 110101100 => [2,1,1,1,2,2] => 2161
[9,1,10,6,2,7,4,3,5,8] => 101101100 => [1,1,2,1,2,2] => 2661
[8,1,9,2,10,6,4,3,5,7] => 101011100 => [1,1,1,1,3,2] => 2244
[7,1,8,2,9,4,3,10,5,6] => 101011010 => [1,1,1,1,2,1,1,1] => 4274
[10,5,1,6,2,7,3,8,4,9] => 110101010 => [2,1,1,1,1,1,1,1] => 3432
[9,1,10,5,2,6,3,7,4,8] => 101101010 => [1,1,2,1,1,1,1,1] => 4202
[8,1,9,2,10,5,3,6,4,7] => 101011010 => [1,1,1,1,2,1,1,1] => 4274
[7,1,8,2,9,3,10,5,4,6] => 101010110 => [1,1,1,1,1,1,2,1] => 4004
[8,6,1,3,2,7,5,4] => 1101011 => [2,1,1,1,2] => 207
[8,1,7,5,2,4,6,3] => 1011001 => [1,1,2,2,1] => 295
[8,2,7,5,4,1,6,3] => 1011101 => [1,1,3,1,1] => 233
[8,6,1,2,7,3,5,4] => 1100101 => [2,2,1,1,1] => 255
[4,2,8,5,7,1,6,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,8,7,4,5,3,2,1] => 0110111 => [1,2,1,3] => 137
[5,2,6,7,4,8,3,1] => 1001011 => [1,2,1,1,2] => 241
[6,5,8,1,7,3,2,4] => 1010110 => [1,1,1,1,2,1] => 345
[6,4,8,1,5,2,3,7] => 1010100 => [1,1,1,1,1,2] => 297
[7,2,4,1,6,3,5,8] => 1010100 => [1,1,1,1,1,2] => 297
[4,2,1,3,6,5,8,7,9] => 11001010 => [2,2,1,1,1,1] => 875
[4,2,1,3,6,5,8,7,10,9] => 110010101 => [2,2,1,1,1,1,1] => 3036
[6,2,1,4,3,5,8,7,9] => 11010010 => [2,1,1,2,1,1] => 861
[2,6,1,5,3,4,8,7] => 0101001 => [1,1,1,1,2,1] => 345
[3,8,7,5,4,2,6,1] => 0111101 => [1,4,1,1] => 107
[5,7,8,2,3,6,4,1] => 0010011 => [2,1,2,2] => 180
[2,8,7,3,1,4,5,6] => 0111000 => [1,3,3] => 95
[5,6,1,2,4,7,8,3] => 0100001 => [1,1,4,1] => 107
[10,2,3,1,4,5,6,7,8,9] => 101000000 => [1,1,1,6] => 154
[9,2,3,4,1,5,6,7,8] => 10010000 => [1,2,1,4] => 235
[9,8,4,5,7,6,3,2,1] => 11001111 => [2,2,4] => 185
[9,8,5,4,6,7,3,2,1] => 11100111 => [3,2,3] => 226
[10,9,8,6,5,7,4,3,2,1] => 111101111 => [4,1,4] => 251
[10,9,8,4,5,7,6,3,2,1] => 111001111 => [3,2,4] => 431
[9,8,4,5,3,7,6,2,1] => 11010111 => [2,1,1,1,3] => 407
[9,8,3,5,7,6,4,2,1] => 11001111 => [2,2,4] => 185
[9,8,5,4,6,3,7,2,1] => 11101011 => [3,1,1,1,2] => 407
[9,8,4,3,6,7,5,2,1] => 11100111 => [3,2,3] => 226
[10,9,8,5,4,6,7,3,2,1] => 111100111 => [4,2,3] => 431
[3,8,6,7,5,4,2,1] => 0101111 => [1,1,1,4] => 75
[7,8,5,1,4,6,2,3] => 0110010 => [1,2,2,1,1] => 295
[8,2,7,5,4,6,1,3] => 1011010 => [1,1,2,1,1,1] => 359
[8,4,7,6,3,1,2,5] => 1011100 => [1,1,3,2] => 171
[4,6,7,1,3,2,8,5] => 0010101 => [2,1,1,1,1,1] => 297
[6,4,7,5,3,2,8,1] => 1011101 => [1,1,3,1,1] => 233
[8,4,6,3,1,5,7,2] => 1011001 => [1,1,2,2,1] => 295
[7,3,1,4,5,6,8,2] => 1100001 => [2,4,1] => 81
[6,7,3,4,2,1,8,5] => 0101101 => [1,1,1,2,1,1] => 359
[6,4,8,3,1,5,7,2] => 1011001 => [1,1,2,2,1] => 295
[7,4,2,3,5,1,8,6] => 1100101 => [2,2,1,1,1] => 255
[3,1,6,5,2,4,8,7] => 1011001 => [1,1,2,2,1] => 295
[2,5,3,8,6,4,1,7] => 0101110 => [1,1,1,3,1] => 219
[5,8,4,1,3,2,7,6] => 0110101 => [1,2,1,1,1,1] => 345
[5,3,4,7,6,1,8,2] => 1001101 => [1,2,2,1,1] => 295
[4,5,2,1,6,3,8,7] => 0110101 => [1,2,1,1,1,1] => 345
[4,5,2,1,6,7,3,8] => 0110010 => [1,2,2,1,1] => 295
[5,3,8,6,2,4,7,1] => 1011001 => [1,1,2,2,1] => 295
[2,5,1,6,4,3,8,7] => 0101101 => [1,1,1,2,1,1] => 359
[3,6,2,8,5,7,1,4] => 0101010 => [1,1,1,1,1,1,1] => 429
[4,6,8,1,5,7,2,3] => 0010010 => [2,1,2,1,1] => 252
[4,1,2,5,7,6,3,8] => 1000110 => [1,3,2,1] => 185
[4,6,5,8,1,7,3,2] => 0101011 => [1,1,1,1,1,2] => 297
[2,1,3,6,4,8,7,5] => 1001011 => [1,2,1,1,2] => 241
[4,8,1,2,7,5,6,3] => 0100101 => [1,1,2,1,1,1] => 359
[1,6,4,3,8,7,5,2] => 0110111 => [1,2,1,3] => 137
[4,5,1,6,8,7,2,3] => 0100110 => [1,1,2,2,1] => 295
[2,5,1,8,6,4,7,3] => 0101101 => [1,1,1,2,1,1] => 359
[2,5,8,7,3,1,4,6] => 0011100 => [2,3,2] => 126
[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] => 241
[8,4,5,1,6,7,2,3] => 1010010 => [1,1,1,2,1,1] => 359
[8,4,7,3,1,5,2,6] => 1011010 => [1,1,2,1,1,1] => 359
[2,5,1,8,3,6,4,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[5,8,4,7,3,2,1,6] => 0101110 => [1,1,1,3,1] => 219
[5,6,8,4,2,7,1,3] => 0011010 => [2,2,1,1,1] => 255
[4,3,8,6,1,2,5,7] => 1011000 => [1,1,2,3] => 145
[4,8,6,5,7,1,3,2] => 0110101 => [1,2,1,1,1,1] => 345
[7,2,3,5,6,8,4,1] => 1000011 => [1,4,2] => 81
[5,8,1,3,4,7,2,6] => 0100010 => [1,1,3,1,1] => 233
[8,3,4,2,7,6,1,5] => 1010110 => [1,1,1,1,2,1] => 345
[8,7,5,6,4,1,3,2] => 1101101 => [2,1,2,1,1] => 252
[8,7,4,2,3,6,5,1] => 1110011 => [3,2,2] => 105
[8,4,2,3,7,6,5,1] => 1100111 => [2,2,3] => 105
[7,2,4,5,3,1,6,8] => 1001100 => [1,2,2,2] => 211
[7,6,3,1,4,5,8,2] => 1110001 => [3,3,1] => 95
[5,4,1,7,8,6,2,3] => 1100110 => [2,2,2,1] => 211
[5,3,4,7,8,1,6,2] => 1000101 => [1,3,1,1,1] => 219
[4,3,7,6,5,1,8,2] => 1011101 => [1,1,3,1,1] => 233
[5,1,4,8,2,3,7,6] => 1001001 => [1,2,1,2,1] => 281
[3,2,8,5,4,1,6,7] => 1011100 => [1,1,3,2] => 171
[7,8,9,1,3,4,5,6,2] => 00100001 => [2,1,4,1] => 303
[1,2,8,3,4,6,5,7] => 0010010 => [2,1,2,1,1] => 252
[8,1,2,7,3,5,4,6] => 1001010 => [1,2,1,1,1,1] => 345
[5,7,1,2,6,3,4,8] => 0100100 => [1,1,2,1,2] => 252
[1,2,7,5,6,3,4,8] => 0010100 => [2,1,1,1,2] => 207
[5,1,4,7,2,3,6,8] => 1001000 => [1,2,1,3] => 137
[4,8,1,2,3,6,5,7] => 0100010 => [1,1,3,1,1] => 233
[1,3,4,2,5,6,7,8,9] => 00100000 => [2,1,5] => 83
[1,2,4,5,6,3,7,8,9] => 00001000 => [4,1,3] => 125
[1,2,3,5,6,7,8,4,9] => 00000010 => [6,1,1] => 35
[2,1,5,3,6,7,4,8,9] => 10100100 => [1,1,1,2,1,2] => 875
[1,3,5,6,4,2,7,8,9] => 00011000 => [3,2,3] => 226
[3,5,2,1,6,4,7,8,9] => 01101000 => [1,2,1,1,3] => 476
[2,1,3,6,4,7,8,9,5] => 10010001 => [1,2,1,3,1] => 646
[1,3,4,6,7,2,8,5,9] => 00001010 => [4,1,1,1,1] => 275
[3,2,6,1,4,7,8,5,9] => 10100010 => [1,1,1,3,1,1] => 842
[2,4,6,1,7,5,3,8,9] => 00101100 => [2,1,1,2,2] => 620
[4,6,3,2,1,7,5,8,9] => 01110100 => [1,3,1,1,2] => 551
[2,4,1,7,5,8,3,9,6] => 01010101 => [1,1,1,1,1,1,1,1] => 1430
[4,3,7,2,1,5,8,9,6] => 10110001 => [1,1,2,3,1] => 685
[1,3,5,7,8,6,4,2,9] => 00001110 => [4,3,1] => 175
[3,5,7,2,1,8,6,4,9] => 00110110 => [2,2,1,2,1] => 725
[5,7,4,3,2,1,8,6,9] => 01111010 => [1,4,1,1,1] => 410
[2,4,6,8,1,9,7,5,3] => 00010111 => [3,1,1,3] => 242
[4,6,8,3,2,1,9,7,5] => 00111011 => [2,3,1,2] => 452
[6,8,5,4,3,2,1,9,7] => 01111101 => [1,5,1,1] => 170
[1,3,4,2,5,6,7,8,9,10] => 001000000 => [2,1,6] => 119
[1,2,4,5,6,3,7,8,9,10] => 000010000 => [4,1,4] => 251
[1,2,3,5,6,7,8,4,9,10] => 000000100 => [6,1,2] => 119
[2,1,5,3,6,7,4,8,9,10] => 101001000 => [1,1,1,2,1,3] => 1806
[1,3,5,6,4,2,7,8,9,10] => 000110000 => [3,2,4] => 431
[3,5,2,1,6,4,7,8,9,10] => 011010000 => [1,2,1,1,4] => 851
[2,1,3,6,4,7,8,9,5,10] => 100100010 => [1,2,1,3,1,1] => 2548
[1,3,4,6,7,2,8,5,9,10] => 000010100 => [4,1,1,1,2] => 726
[3,2,6,1,4,7,8,5,9,10] => 101000100 => [1,1,1,3,1,2] => 2256
[2,4,6,1,7,5,3,8,9,10] => 001011000 => [2,1,1,2,3] => 1318
[4,6,3,2,1,7,5,8,9,10] => 011101000 => [1,3,1,1,3] => 1177
[1,3,4,2,7,8,5,9,10,6] => 001001001 => [2,1,2,1,2,1] => 2550
[3,2,1,7,4,5,8,9,10,6] => 110100001 => [2,1,1,4,1] => 1119
[1,2,4,5,7,8,9,6,3,10] => 000000110 => [6,2,1] => 140
[4,3,7,2,1,5,8,9,6,10] => 101100010 => [1,1,2,3,1,1] => 2704
[1,3,5,7,8,6,4,2,9,10] => 000011100 => [4,3,2] => 546
[3,5,7,2,1,8,6,4,9,10] => 001101100 => [2,2,1,2,2] => 1936
[5,7,4,3,2,1,8,6,9,10] => 011110100 => [1,4,1,1,2] => 1119
[2,1,5,3,8,6,9,10,7,4] => 101010011 => [1,1,1,1,1,2,2] => 3036
[1,3,5,6,8,9,4,2,10,7] => 000001101 => [5,2,1,1] => 399
[3,5,2,8,1,6,9,4,10,7] => 010100101 => [1,1,1,1,2,1,1,1] => 4274
[5,4,8,3,2,1,6,9,10,7] => 101110001 => [1,1,3,3,1] => 1849
[2,4,6,8,1,9,7,5,3,10] => 000101110 => [3,1,1,3,1] => 1177
[4,6,8,3,2,1,9,7,5,10] => 001110110 => [2,3,1,2,1] => 1902
[6,8,5,4,3,2,1,9,7,10] => 011111010 => [1,5,1,1,1] => 704
[3,5,7,9,2,1,10,8,6,4] => 000110111 => [3,2,1,3] => 802
[5,7,9,4,3,2,1,10,8,6] => 001111011 => [2,4,1,2] => 1001
[7,9,6,5,4,3,2,1,10,8] => 011111101 => [1,6,1,1] => 254
[6,2,3,8,7,1,4,5] => 1001100 => [1,2,2,2] => 211
[8,2,3,6,4,7,5,1] => 1001011 => [1,2,1,1,2] => 241
[7,2,3,6,4,8,1,5] => 1001010 => [1,2,1,1,1,1] => 345
[4,5,6,3,7,2,8,1,9] => 00101010 => [2,1,1,1,1,1,1] => 1001
[1,5,6,7,4,8,3,9,2] => 00010101 => [3,1,1,1,1,1] => 572
[5,4,1,6,2,7,8,3] => 1101001 => [2,1,1,2,1] => 241
[7,1,3,5,4,2,8,6] => 1001101 => [1,2,2,1,1] => 295
[7,6,8,2,4,5,3,1] => 1010011 => [1,1,1,2,2] => 255
[4,2,8,6,5,1,3,7] => 1011100 => [1,1,3,2] => 171
[3,8,5,4,7,1,2,6] => 0110100 => [1,2,1,1,2] => 241
[1,4,8,3,6,2,7,5] => 0010101 => [2,1,1,1,1,1] => 297
[6,3,2,4,8,7,1,5] => 1100110 => [2,2,2,1] => 211
[8,3,2,7,4,1,5,6] => 1101100 => [2,1,2,2] => 180
[7,3,2,6,5,8,1,4] => 1101010 => [2,1,1,1,1,1] => 297
[3,6,2,5,7,4,8,1] => 0100101 => [1,1,2,1,1,1] => 359
[2,7,1,5,8,6,4,3] => 0100111 => [1,1,2,3] => 145
[7,2,4,1,6,8,5,3] => 1010011 => [1,1,1,2,2] => 255
[6,4,7,2,3,8,5,1] => 1010011 => [1,1,1,2,2] => 255
[6,1,8,5,7,4,2,3] => 1010110 => [1,1,1,1,2,1] => 345
[7,1,4,3,6,5,8,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,1,5,6,3,4,8,2] => 1001001 => [1,2,1,2,1] => 281
[6,1,8,5,4,7,3,2] => 1011011 => [1,1,2,1,2] => 252
[7,6,1,5,4,2,8,3] => 1101101 => [2,1,2,1,1] => 252
[5,1,6,8,7,2,4,3] => 1001101 => [1,2,2,1,1] => 295
[4,6,7,5,3,1,8,2] => 0011101 => [2,3,1,1] => 171
[5,3,2,6,8,7,4,1] => 1100111 => [2,2,3] => 105
[5,4,6,2,8,7,3,1] => 1010111 => [1,1,1,1,3] => 165
[4,5,8,6,7,2,3,1] => 0010101 => [2,1,1,1,1,1] => 297
[4,5,7,6,1,2,8,3] => 0011001 => [2,2,2,1] => 211
[4,6,5,7,2,1,8,3] => 0101101 => [1,1,1,2,1,1] => 359
[2,3,7,5,6,1,10,9,4,8] => 001010110 => [2,1,1,1,1,2,1] => 2838
[2,3,4,10,6,9,8,5,1,7] => 000101110 => [3,1,1,3,1] => 1177
[2,3,6,5,9,10,8,4,1,7] => 001001110 => [2,1,2,3,1] => 1794
[2,3,9,5,8,7,4,1,10,6] => 001011101 => [2,1,1,3,1,1] => 2172
[2,5,4,9,6,10,8,3,1,7] => 010101110 => [1,1,1,1,1,3,1] => 2717
[2,5,4,8,9,7,3,1,10,6] => 010011101 => [1,1,2,3,1,1] => 2704
[2,3,4,10,6,7,1,9,8,5] => 000101011 => [3,1,1,1,1,2] => 1430
[2,3,7,5,6,1,10,9,8,4] => 001010111 => [2,1,1,1,1,3] => 1430
[2,3,4,10,6,8,9,1,7,5] => 000100101 => [3,1,2,1,1,1] => 1806
[2,3,6,5,8,10,9,1,7,4] => 001001101 => [2,1,2,2,1,1] => 2694
[2,3,8,5,7,9,1,10,6,4] => 001001011 => [2,1,2,1,1,2] => 2179
[2,5,4,8,6,10,9,1,7,3] => 010101101 => [1,1,1,1,1,2,1,1] => 4202
[2,5,4,7,8,9,1,10,6,3] => 010001011 => [1,1,3,1,1,2] => 2172
[2,3,4,10,6,9,8,7,5,1] => 000101111 => [3,1,1,4] => 451
[2,3,6,5,9,10,8,7,4,1] => 001001111 => [2,1,2,4] => 681
[2,3,7,5,9,8,10,6,4,1] => 001010111 => [2,1,1,1,1,3] => 1430
[2,3,9,5,8,7,6,4,1,10] => 001011110 => [2,1,1,4,1] => 1119
[2,5,4,9,6,10,8,7,3,1] => 010101111 => [1,1,1,1,1,4] => 1001
[2,5,4,9,7,8,10,6,3,1] => 010100111 => [1,1,1,1,2,3] => 1834
[2,5,4,8,9,7,6,3,1,10] => 010011110 => [1,1,2,4,1] => 1399
[2,3,4,10,7,9,8,1,6,5] => 000101101 => [3,1,1,2,1,1] => 1762
[2,3,5,7,10,9,8,1,6,4] => 000011101 => [4,3,1,1] => 721
[2,3,8,6,9,7,1,10,5,4] => 001011011 => [2,1,1,2,1,2] => 2179
[2,4,7,5,10,9,8,1,6,3] => 001011101 => [2,1,1,3,1,1] => 2172
[2,4,6,8,9,7,1,10,5,3] => 000011011 => [4,2,1,2] => 681
[2,3,4,10,7,8,9,6,5,1] => 000100111 => [3,1,2,3] => 802
[2,3,5,7,10,8,9,6,4,1] => 000010111 => [4,1,1,3] => 451
[2,3,7,6,8,9,10,5,4,1] => 001000111 => [2,1,3,3] => 1038
[2,3,9,6,7,8,5,4,1,10] => 001001110 => [2,1,2,3,1] => 1794
[2,4,7,5,10,8,9,6,3,1] => 001010111 => [2,1,1,1,1,3] => 1430
[2,4,6,7,8,9,10,5,3,1] => 000000111 => [6,3] => 84
[2,4,6,9,7,8,5,3,1,10] => 000101110 => [3,1,1,3,1] => 1177
[2,6,5,8,9,7,10,4,3,1] => 010010111 => [1,1,2,1,1,3] => 1762
[2,6,5,7,8,9,4,3,1,10] => 010001110 => [1,1,3,3,1] => 1849
[3,7,4,5,10,9,8,1,6,2] => 010011101 => [1,1,2,3,1,1] => 2704
[3,6,4,8,9,7,1,10,5,2] => 010011011 => [1,1,2,2,1,2] => 2694
[3,7,4,5,10,8,9,6,2,1] => 010010111 => [1,1,2,1,1,3] => 1762
[3,6,4,7,8,9,10,5,2,1] => 010000111 => [1,1,4,3] => 854
[3,6,4,9,7,8,5,2,1,10] => 010101110 => [1,1,1,1,1,3,1] => 2717
[3,5,6,8,9,7,10,4,2,1] => 000010111 => [4,1,1,3] => 451
[3,5,6,7,8,9,4,2,1,10] => 000001110 => [5,3,1] => 294
[7,4,8,6,3,5,1,2] => 1011010 => [1,1,2,1,1,1] => 359
[7,2,4,3,6,1,8,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[2,3,4,7,8,6,1,5] => 0000110 => [4,2,1] => 65
[6,3,7,1,4,2,8,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,3,2,7,6,5,1,9,8,10] => 110111010 => [2,1,3,1,1,1] => 2256
[4,3,2,1,7,6,9,8,5,10] => 111010110 => [3,1,1,1,2,1] => 1672
[4,3,2,7,6,1,9,8,5,10] => 110110110 => [2,1,2,1,2,1] => 2550
[4,3,2,7,6,9,8,5,1,10] => 110101110 => [2,1,1,1,3,1] => 1947
[4,3,7,6,2,1,9,8,5,10] => 101110110 => [1,1,3,1,2,1] => 2548
[4,3,7,6,2,9,8,5,1,10] => 101101110 => [1,1,2,1,3,1] => 2407
[4,3,2,1,7,6,5,9,10,8] => 111011001 => [3,1,2,2,1] => 1532
[4,3,2,7,6,5,1,9,10,8] => 110111001 => [2,1,3,2,1] => 1942
[4,3,2,1,7,6,9,5,10,8] => 111010101 => [3,1,1,1,1,1,1] => 2002
[4,3,2,7,6,1,9,5,10,8] => 110110101 => [2,1,2,1,1,1,1] => 3054
[4,3,2,7,6,9,5,1,10,8] => 110101101 => [2,1,1,1,2,1,1] => 2982
[4,3,7,6,2,1,9,5,10,8] => 101110101 => [1,1,3,1,1,1,1] => 3014
[4,3,7,6,2,9,5,1,10,8] => 101101101 => [1,1,2,1,2,1,1] => 3667
[4,3,2,1,7,6,9,10,8,5] => 111010011 => [3,1,1,2,2] => 1286
[4,3,2,7,6,1,9,10,8,5] => 110110011 => [2,1,2,2,2] => 1963
[4,3,2,7,6,9,1,10,8,5] => 110101011 => [2,1,1,1,1,1,2] => 2431
[4,3,2,7,6,9,10,8,5,1] => 110100111 => [2,1,1,2,3] => 1318
[4,3,7,6,2,1,9,10,8,5] => 101110011 => [1,1,3,2,2] => 1986
[4,3,7,6,2,9,1,10,8,5] => 101101011 => [1,1,2,1,1,1,2] => 2982
[4,3,7,6,2,9,10,8,5,1] => 101100111 => [1,1,2,2,3] => 1634
[4,3,2,1,7,9,6,5,10,8] => 111001101 => [3,2,2,1,1] => 1634
[4,3,2,7,1,9,6,5,10,8] => 110101101 => [2,1,1,1,2,1,1] => 2982
[4,3,2,7,9,6,5,1,10,8] => 110011101 => [2,2,3,1,1] => 1986
[4,3,7,2,1,9,6,5,10,8] => 101101101 => [1,1,2,1,2,1,1] => 3667
[4,3,7,2,9,6,5,1,10,8] => 101011101 => [1,1,1,1,3,1,1] => 3014
[4,3,2,1,7,9,6,10,8,5] => 111001011 => [3,2,1,1,2] => 1318
[4,3,2,7,1,9,6,10,8,5] => 110101011 => [2,1,1,1,1,1,2] => 2431
[4,3,2,7,9,6,1,10,8,5] => 110011011 => [2,2,2,1,2] => 1963
[4,3,2,7,9,6,10,8,5,1] => 110010111 => [2,2,1,1,3] => 1286
[4,3,7,2,1,9,6,10,8,5] => 101101011 => [1,1,2,1,1,1,2] => 2982
[4,3,7,2,9,6,1,10,8,5] => 101011011 => [1,1,1,1,2,1,2] => 3054
[4,3,7,2,9,6,10,8,5,1] => 101010111 => [1,1,1,1,1,1,3] => 2002
[4,3,7,9,6,2,1,10,8,5] => 100111011 => [1,2,3,1,2] => 1942
[4,3,7,9,6,2,10,8,5,1] => 100110111 => [1,2,2,1,3] => 1532
[4,7,3,2,1,9,6,5,10,8] => 011101101 => [1,3,1,2,1,1] => 2407
[4,7,3,2,9,6,5,1,10,8] => 011011101 => [1,2,1,3,1,1] => 2548
[4,7,3,2,1,9,6,10,8,5] => 011101011 => [1,3,1,1,1,2] => 1947
[4,7,3,2,9,6,1,10,8,5] => 011011011 => [1,2,1,2,1,2] => 2550
[4,7,3,2,9,6,10,8,5,1] => 011010111 => [1,2,1,1,1,3] => 1672
[4,7,3,9,6,2,1,10,8,5] => 010111011 => [1,1,1,3,1,2] => 2256
[4,6,3,5,1,8,2,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[8,5,7,6,2,3,4,1] => 1011001 => [1,1,2,2,1] => 295
[3,5,6,7,8,9,2,4,1] => 00000101 => [5,1,1,1] => 110
[3,4,6,7,8,2,5,1] => 0000101 => [4,1,1,1] => 75
[2,4,6,7,8,9,1,3,5] => 00000100 => [5,1,2] => 83
[2,5,6,7,3,8,1,4] => 0001010 => [3,1,1,1,1] => 165
[2,5,6,7,8,9,3,1,4] => 00000110 => [5,2,1] => 98
[5,8,4,6,2,1,7,3] => 0101101 => [1,1,1,2,1,1] => 359
[1,6,8,3,4,2,7,5] => 0010101 => [2,1,1,1,1,1] => 297
[4,1,7,6,2,8,3,5] => 1011010 => [1,1,2,1,1,1] => 359
[4,1,8,2,7,5,3,6] => 1010110 => [1,1,1,1,2,1] => 345
[4,1,7,2,8,5,3,6] => 1010110 => [1,1,1,1,2,1] => 345
[2,5,6,3,7,4,8,1] => 0010101 => [2,1,1,1,1,1] => 297
[2,6,5,3,8,4,7,1] => 0110101 => [1,2,1,1,1,1] => 345
[2,6,5,3,7,4,8,1] => 0110101 => [1,2,1,1,1,1] => 345
[7,1,6,3,5,4,8,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,7,3,2,8,4,1,6] => 0110110 => [1,2,1,2,1] => 281
[2,8,6,1,7,5,3,4] => 0110110 => [1,2,1,2,1] => 281
[8,1,5,2,7,4,3,6] => 1010110 => [1,1,1,1,2,1] => 345
[7,1,4,2,8,5,3,6] => 1010110 => [1,1,1,1,2,1] => 345
[2,6,8,1,7,5,3,4] => 0010110 => [2,1,1,2,1] => 241
[1,4,6,5,3,8,2,7] => 0011010 => [2,2,1,1,1] => 255
[2,4,5,8,7,1,3,6] => 0001100 => [3,2,2] => 105
[3,1,6,8,7,5,4,2] => 1001111 => [1,2,4] => 65
[3,1,8,7,5,6,4,2] => 1011011 => [1,1,2,1,2] => 252
[5,1,8,7,6,3,4,2] => 1011101 => [1,1,3,1,1] => 233
[8,2,7,5,3,6,4,1] => 1011011 => [1,1,2,1,2] => 252
[8,7,2,3,1,5,6,4] => 1101001 => [2,1,1,2,1] => 241
[2,8,5,7,6,1,3,4] => 0101100 => [1,1,1,2,2] => 255
[1,8,7,2,6,4,5,3] => 0110101 => [1,2,1,1,1,1] => 345
[8,7,2,1,6,4,5,3] => 1110101 => [3,1,1,1,1] => 165
[1,8,4,7,6,2,5,3] => 0101101 => [1,1,1,2,1,1] => 359
[8,7,1,6,4,3,5,2] => 1101101 => [2,1,2,1,1] => 252
[8,4,1,7,3,6,5,2] => 1101011 => [2,1,1,1,2] => 207
[5,4,6,3,8,1,7,2,9] => 10101010 => [1,1,1,1,1,1,1,1] => 1430
[1,6,5,7,4,9,2,8,3] => 01010101 => [1,1,1,1,1,1,1,1] => 1430
[5,6,4,7,3,9,1,8,2,10] => 010101010 => [1,1,1,1,1,1,1,1,1] => 4862
[5,4,8,1,7,2,6,3,9] => 10101010 => [1,1,1,1,1,1,1,1] => 1430
[5,4,8,1,6,3,7,2,9] => 10101010 => [1,1,1,1,1,1,1,1] => 1430
[1,6,5,9,2,8,3,7,4] => 01010101 => [1,1,1,1,1,1,1,1] => 1430
[1,6,5,9,2,7,4,8,3] => 01010101 => [1,1,1,1,1,1,1,1] => 1430
[1,6,7,5,8,4,10,2,9,3] => 001010101 => [2,1,1,1,1,1,1,1] => 3432
[8,3,6,2,1,5,4,7] => 1011010 => [1,1,2,1,1,1] => 359
[4,5,6,7,8,9,1,10,2,3] => 000001010 => [5,1,1,1,1] => 429
[2,5,6,7,8,1,9,3,4] => 00001010 => [4,1,1,1,1] => 275
[4,5,6,7,1,2,8,3,9] => 00010010 => [3,1,2,1,1] => 502
[1,3,6,7,8,9,2,4,5] => 00000100 => [5,1,2] => 83
[3,5,6,7,8,1,2,9,4] => 00001001 => [4,1,2,1] => 235
[3,2,5,4,7,6,8,10,9,1] => 101010011 => [1,1,1,1,1,2,2] => 3036
[3,2,5,4,6,9,7,8,10,1] => 101001001 => [1,1,1,2,1,2,1] => 3556
[3,2,5,4,6,8,7,10,9,1] => 101001011 => [1,1,1,2,1,1,2] => 3040
[3,2,5,4,6,7,10,8,9,1] => 101000101 => [1,1,1,3,1,1,1] => 3098
[3,2,4,7,5,6,9,8,10,1] => 100100101 => [1,2,1,2,1,1,1] => 3556
[3,2,4,7,5,6,8,10,9,1] => 100100011 => [1,2,1,3,2] => 1902
[3,2,4,6,5,9,7,8,10,1] => 100101001 => [1,2,1,1,1,2,1] => 3314
[3,2,4,6,5,8,7,10,9,1] => 100101011 => [1,2,1,1,1,1,2] => 2838
[3,2,4,6,5,7,10,8,9,1] => 100100101 => [1,2,1,2,1,1,1] => 3556
[3,2,4,5,9,6,7,8,10,1] => 100010001 => [1,3,1,3,1] => 1622
[3,2,4,5,8,6,7,10,9,1] => 100010011 => [1,3,1,2,2] => 1761
[3,2,4,5,7,6,10,8,9,1] => 100010101 => [1,3,1,1,1,1,1] => 2717
[3,2,4,5,6,10,7,8,9,1] => 100001001 => [1,4,1,2,1] => 1315
[2,5,3,4,7,6,9,8,10,1] => 010010101 => [1,1,2,1,1,1,1,1] => 4202
[2,5,3,4,7,6,8,10,9,1] => 010010011 => [1,1,2,1,2,2] => 2661
[2,5,3,4,6,9,7,8,10,1] => 010001001 => [1,1,3,1,2,1] => 2548
[2,5,3,4,6,8,7,10,9,1] => 010001011 => [1,1,3,1,1,2] => 2172
[2,5,3,4,6,7,10,8,9,1] => 010000101 => [1,1,4,1,1,1] => 1754
[2,4,3,7,5,6,9,8,10,1] => 010100101 => [1,1,1,1,2,1,1,1] => 4274
[2,4,3,7,5,6,8,10,9,1] => 010100011 => [1,1,1,1,3,2] => 2244
[2,4,3,6,5,9,7,8,10,1] => 010101001 => [1,1,1,1,1,1,2,1] => 4004
[2,4,3,6,5,7,10,8,9,1] => 010100101 => [1,1,1,1,2,1,1,1] => 4274
[2,4,3,5,9,6,7,8,10,1] => 010010001 => [1,1,2,1,3,1] => 2407
[2,4,3,5,8,6,7,10,9,1] => 010010011 => [1,1,2,1,2,2] => 2661
[2,4,3,5,7,6,10,8,9,1] => 010010101 => [1,1,2,1,1,1,1,1] => 4202
[2,4,3,5,6,10,7,8,9,1] => 010001001 => [1,1,3,1,2,1] => 2548
[2,3,7,4,5,6,9,8,10,1] => 001000101 => [2,1,3,1,1,1] => 2256
[2,3,7,4,5,6,8,10,9,1] => 001000011 => [2,1,4,2] => 1001
[2,3,6,4,5,9,7,8,10,1] => 001001001 => [2,1,2,1,2,1] => 2550
[2,3,6,4,5,8,7,10,9,1] => 001001011 => [2,1,2,1,1,2] => 2179
[2,3,6,4,5,7,10,8,9,1] => 001000101 => [2,1,3,1,1,1] => 2256
[2,3,5,4,9,6,7,8,10,1] => 001010001 => [2,1,1,1,3,1] => 1947
[2,3,5,4,8,6,7,10,9,1] => 001010011 => [2,1,1,1,2,2] => 2161
[2,3,5,4,7,6,10,8,9,1] => 001010101 => [2,1,1,1,1,1,1,1] => 3432
[2,3,5,4,6,10,7,8,9,1] => 001001001 => [2,1,2,1,2,1] => 2550
[2,3,4,9,5,6,7,8,10,1] => 000100001 => [3,1,4,1] => 709
[2,3,4,8,5,6,7,10,9,1] => 000100011 => [3,1,3,2] => 998
[2,3,4,7,5,6,10,8,9,1] => 000100101 => [3,1,2,1,1,1] => 1806
[2,3,4,6,5,10,7,8,9,1] => 000101001 => [3,1,1,1,2,1] => 1672
[1,7,3,6,8,2,5,4] => 0100101 => [1,1,2,1,1,1] => 359
[4,5,1,8,7,3,6,2] => 0101101 => [1,1,1,2,1,1] => 359
[3,8,5,2,6,7,4,1] => 0110011 => [1,2,2,2] => 211
[3,6,4,7,5,2,1,8] => 0101110 => [1,1,1,3,1] => 219
[5,7,4,1,2,6,8,3] => 0110001 => [1,2,3,1] => 185
[2,8,6,7,5,3,1,4] => 0101110 => [1,1,1,3,1] => 219
[7,4,5,2,6,3,1,8] => 1010110 => [1,1,1,1,2,1] => 345
[8,6,3,4,5,1,7,2] => 1100101 => [2,2,1,1,1] => 255
[8,6,3,5,4,1,7,2] => 1101101 => [2,1,2,1,1] => 252
[8,7,4,5,1,3,6,2] => 1101001 => [2,1,1,2,1] => 241
[8,6,2,5,3,1,4,7] => 1101100 => [2,1,2,2] => 180
[8,4,7,3,1,2,5,6] => 1011000 => [1,1,2,3] => 145
[8,7,3,5,1,6,4,2] => 1101011 => [2,1,1,1,2] => 207
[4,8,3,2,6,1,7,5] => 0110101 => [1,2,1,1,1,1] => 345
[4,3,7,6,1,5,2,8] => 1011010 => [1,1,2,1,1,1] => 359
[7,5,4,3,6,1,8,2] => 1110101 => [3,1,1,1,1] => 165
[4,6,8,5,3,1,2,7] => 0011100 => [2,3,2] => 126
[5,6,8,4,3,7,2,1] => 0011011 => [2,2,1,2] => 180
[7,5,8,4,2,1,6,3] => 1011101 => [1,1,3,1,1] => 233
[1,4,8,7,6,2,5,3] => 0011101 => [2,3,1,1] => 171
[7,2,4,1,5,3,8,6] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,5,3,4,1,7,2,6] => 1101010 => [2,1,1,1,1,1] => 297
[2,8,5,4,3,6,1,7] => 0111010 => [1,3,1,1,1] => 219
[8,6,5,3,1,2,7,4] => 1111001 => [4,2,1] => 65
[7,4,6,5,3,2,8,1] => 1011101 => [1,1,3,1,1] => 233
[5,6,7,2,3,8,4,1] => 0010011 => [2,1,2,2] => 180
[8,4,2,6,5,7,3,1] => 1101011 => [2,1,1,1,2] => 207
[1,7,4,2,8,5,6,3] => 0110101 => [1,2,1,1,1,1] => 345
[3,2,1,7,4,6,8,5] => 1101001 => [2,1,1,2,1] => 241
[6,2,5,7,1,4,3,8] => 1001010 => [1,2,1,1,1,1] => 345
[4,8,5,3,1,2,6,7] => 0111000 => [1,3,3] => 95
[8,5,2,4,6,1,3,7] => 1100100 => [2,2,1,2] => 180
[1,5,3,4,7,2,6,8] => 0100100 => [1,1,2,1,2] => 252
[8,4,6,1,5,7,3,2] => 1010011 => [1,1,1,2,2] => 255
[6,4,7,2,1,3,8,5] => 1011001 => [1,1,2,2,1] => 295
[6,7,3,1,2,4,8,5] => 0110001 => [1,2,3,1] => 185
[3,1,8,7,6,2,5,4] => 1011101 => [1,1,3,1,1] => 233
[1,3,8,6,7,2,5,4] => 0010101 => [2,1,1,1,1,1] => 297
[5,2,3,6,1,8,4,7] => 1001010 => [1,2,1,1,1,1] => 345
[3,2,6,4,7,1,5,8] => 1010100 => [1,1,1,1,1,2] => 297
[3,6,2,5,7,8,4,1] => 0100011 => [1,1,3,2] => 171
[2,7,4,6,8,3,5,1] => 0100101 => [1,1,2,1,1,1] => 359
[3,7,6,8,1,5,4,2] => 0101011 => [1,1,1,1,1,2] => 297
[1,5,7,6,8,4,2,3] => 0010110 => [2,1,1,2,1] => 241
[2,7,4,6,8,5,3,1] => 0100111 => [1,1,2,3] => 145
[3,7,6,8,5,1,4,2] => 0101101 => [1,1,1,2,1,1] => 359
[7,1,3,8,6,2,4,5] => 1001100 => [1,2,2,2] => 211
[2,7,1,8,6,5,3,4] => 0101110 => [1,1,1,3,1] => 219
[2,3,4,5,7,6,8,9,1] => 00001001 => [4,1,2,1] => 235
[2,3,4,5,7,8,6,9,1] => 00000101 => [5,1,1,1] => 110
[2,3,4,5,8,7,6,9,1] => 00001101 => [4,2,1,1] => 250
[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] => 452
[3,4,5,6,2,7,8,9,10,1] => 000100001 => [3,1,4,1] => 709
[2,4,5,6,3,7,8,9,10,1] => 000100001 => [3,1,4,1] => 709
[2,3,5,6,4,7,8,9,10,1] => 000100001 => [3,1,4,1] => 709
[8,1,5,2,6,4,7,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,6,7,5,1,2,3,8] => 0011000 => [2,2,3] => 105
[5,3,4,7,6,2,1,8] => 1001110 => [1,2,3,1] => 185
[4,1,8,5,7,2,6,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,1,8,2,7,5,6,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,6,8,2,4,3,5,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,4,5,3,8,1,6,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,3,6,1,4,2,8,5] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,7,2,6,4,5,1,3] => 1101010 => [2,1,1,1,1,1] => 297
[1,2,3,4,7,9,5,6,8] => 00000100 => [5,1,2] => 83
[1,2,3,4,6,7,9,5,8] => 00000010 => [6,1,1] => 35
[1,2,3,4,8,5,6,9,7] => 00001001 => [4,1,2,1] => 235
[1,2,3,4,7,8,5,9,6] => 00000101 => [5,1,1,1] => 110
[2,6,4,8,3,5,1,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,4,8,5,3,2,7,6] => 0011101 => [2,3,1,1] => 171
[3,5,8,4,6,7,1,2] => 0010010 => [2,1,2,1,1] => 252
[1,2,4,8,5,7,3,6] => 0001010 => [3,1,1,1,1] => 165
[7,3,4,1,8,2,5,6] => 1010100 => [1,1,1,1,1,2] => 297
[5,6,3,1,8,2,4,7] => 0110100 => [1,2,1,1,2] => 241
[7,3,6,5,1,8,4,2] => 1011011 => [1,1,2,1,2] => 252
[5,7,2,1,4,8,6,3] => 0110011 => [1,2,2,2] => 211
[7,6,3,5,2,1,8,4] => 1101101 => [2,1,2,1,1] => 252
[7,3,2,5,1,6,8,4] => 1101001 => [2,1,1,2,1] => 241
[3,5,1,7,6,4,8,2] => 0101101 => [1,1,1,2,1,1] => 359
[8,7,4,2,1,6,5,3] => 1111011 => [4,1,2] => 55
[5,4,7,6,2,1,8,3] => 1011101 => [1,1,3,1,1] => 233
[3,5,2,8,7,1,6,4] => 0101101 => [1,1,1,2,1,1] => 359
[3,7,6,5,4,1,8,2] => 0111101 => [1,4,1,1] => 107
[4,6,5,3,1,8,7,2] => 0111011 => [1,3,1,2] => 157
[4,5,2,6,7,3,8,1] => 0100101 => [1,1,2,1,1,1] => 359
[9,3,10,1,2,4,5,6,7,8] => 101000000 => [1,1,1,6] => 154
[10,3,1,9,2,4,5,6,7,8] => 110100000 => [2,1,1,5] => 319
[3,1,4,10,2,5,6,7,8,9] => 100100000 => [1,2,1,5] => 375
[8,6,7,4,3,1,5,2] => 1011101 => [1,1,3,1,1] => 233
[4,7,1,8,5,3,2,6] => 0101110 => [1,1,1,3,1] => 219
[8,6,7,1,4,3,5,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,6,7,2,1,3,5,4] => 1011001 => [1,1,2,2,1] => 295
[8,5,6,1,7,4,2,3] => 1010110 => [1,1,1,1,2,1] => 345
[6,4,1,2,5,7,8,3] => 1100001 => [2,4,1] => 81
[6,1,5,4,2,7,3,8] => 1011010 => [1,1,2,1,1,1] => 359
[6,4,2,3,1,7,5,8] => 1101010 => [2,1,1,1,1,1] => 297
[3,4,6,1,8,2,7,5] => 0010101 => [2,1,1,1,1,1] => 297
[5,3,1,4,7,6,2,8] => 1100110 => [2,2,2,1] => 211
[6,4,5,2,7,1,3,8] => 1010100 => [1,1,1,1,1,2] => 297
[7,4,3,5,1,6,2,8] => 1101010 => [2,1,1,1,1,1] => 297
[7,5,3,6,2,1,4,8] => 1101100 => [2,1,2,2] => 180
[6,4,3,7,1,8,2,5] => 1101010 => [2,1,1,1,1,1] => 297
[3,1,2,7,6,4,5,8] => 1001100 => [1,2,2,2] => 211
[5,1,2,7,6,3,4,8] => 1001100 => [1,2,2,2] => 211
[5,6,1,7,2,4,3,8] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,5,6,8,1,2,7,4] => 0001001 => [3,1,2,1] => 137
[2,6,5,7,1,3,4,8] => 0101000 => [1,1,1,1,3] => 165
[2,3,7,1,5,6,4,8] => 0010010 => [2,1,2,1,1] => 252
[2,6,5,3,4,1,7,8] => 0110100 => [1,2,1,1,2] => 241
[2,6,1,3,5,4,7,8] => 0100100 => [1,1,2,1,2] => 252
[4,6,1,5,2,8,7,3] => 0101011 => [1,1,1,1,1,2] => 297
[6,1,5,4,2,7,8,3] => 1011001 => [1,1,2,2,1] => 295
[4,6,1,5,2,7,8,3] => 0101001 => [1,1,1,1,2,1] => 345
[2,8,6,5,1,3,7,4] => 0111001 => [1,3,2,1] => 185
[5,1,8,6,2,7,4,3] => 1011011 => [1,1,2,1,2] => 252
[3,6,8,2,7,5,1,4] => 0010110 => [2,1,1,2,1] => 241
[5,6,4,1,7,2,8,3] => 0110101 => [1,2,1,1,1,1] => 345
[8,1,6,3,4,2,5,7] => 1010100 => [1,1,1,1,1,2] => 297
[7,4,2,3,1,6,8,5] => 1101001 => [2,1,1,2,1] => 241
[9,8,10,7,6,5,4,3,1,2] => 101111110 => [1,1,6,1] => 254
[8,7,9,6,5,4,2,1,3] => 10111110 => [1,1,5,1] => 170
[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] => 170
[10,7,1,2,3,4,8,9,5,6] => 110000010 => [2,5,1,1] => 624
[1,6,4,5,7,3,2,8] => 0100110 => [1,1,2,2,1] => 295
[1,6,4,5,7,2,8,3] => 0100101 => [1,1,2,1,1,1] => 359
[1,7,5,6,4,8,3,2] => 0101011 => [1,1,1,1,1,2] => 297
[1,5,6,7,3,2,4,8] => 0001100 => [3,2,2] => 105
[8,2,4,3,1,7,5,6] => 1011010 => [1,1,2,1,1,1] => 359
[8,2,1,4,3,7,5,6] => 1101010 => [2,1,1,1,1,1] => 297
[7,6,8,2,1,5,3,4] => 1011010 => [1,1,2,1,1,1] => 359
[8,6,2,5,1,3,7,4] => 1101001 => [2,1,1,2,1] => 241
[5,7,2,6,4,1,8,3] => 0101101 => [1,1,1,2,1,1] => 359
[4,5,6,1,3,8,2,7] => 0010010 => [2,1,2,1,1] => 252
[6,3,5,7,4,2,8,1] => 1001101 => [1,2,2,1,1] => 295
[7,6,4,8,5,3,1,2] => 1101110 => [2,1,3,1] => 157
[8,2,1,6,4,7,3,5] => 1101010 => [2,1,1,1,1,1] => 297
[1,3,8,6,5,2,7,4] => 0011101 => [2,3,1,1] => 171
[2,7,3,8,5,6,4,1] => 0101011 => [1,1,1,1,1,2] => 297
[1,2,8,5,7,4,6,3] => 0010101 => [2,1,1,1,1,1] => 297
[1,6,8,5,4,7,2,3] => 0011010 => [2,2,1,1,1] => 255
[5,7,1,8,3,2,6,4] => 0101101 => [1,1,1,2,1,1] => 359
[2,1,3,8,6,4,7,5] => 1001101 => [1,2,2,1,1] => 295
[8,2,5,4,3,7,1,6] => 1011010 => [1,1,2,1,1,1] => 359
[5,8,4,3,7,6,2,1] => 0110111 => [1,2,1,3] => 137
[8,1,5,3,4,7,2,6] => 1010010 => [1,1,1,2,1,1] => 359
[6,1,8,7,4,5,3,2] => 1011011 => [1,1,2,1,2] => 252
[1,5,8,6,4,3,7,2] => 0011101 => [2,3,1,1] => 171
[5,8,6,4,2,1,7,3] => 0111101 => [1,4,1,1] => 107
[2,6,1,8,4,7,5,3] => 0101011 => [1,1,1,1,1,2] => 297
[5,3,8,6,1,2,7,4] => 1011001 => [1,1,2,2,1] => 295
[5,8,1,4,6,2,7,3] => 0100101 => [1,1,2,1,1,1] => 359
[3,7,6,2,1,4,8,5] => 0111001 => [1,3,2,1] => 185
[4,6,2,3,7,1,8,5] => 0100101 => [1,1,2,1,1,1] => 359
[6,8,7,5,1,3,4,2] => 0111001 => [1,3,2,1] => 185
[6,4,3,2,7,8,5,1] => 1110011 => [3,2,2] => 105
[2,7,6,1,5,3,8,4] => 0110101 => [1,2,1,1,1,1] => 345
[7,8,6,4,2,5,3,1] => 0111011 => [1,3,1,2] => 157
[6,4,5,8,7,1,3,2] => 1001101 => [1,2,2,1,1] => 295
[6,4,1,7,8,3,2,5] => 1100110 => [2,2,2,1] => 211
[2,3,4,5,8,6,7,9,1] => 00001001 => [4,1,2,1] => 235
[2,3,4,5,9,6,8,7,1] => 00001011 => [4,1,1,2] => 200
[9,3,4,5,2,6,7,8,1] => 10010001 => [1,2,1,3,1] => 646
[6,2,3,4,5,7,8,9,10,1] => 100000001 => [1,7,1] => 65
[2,6,3,4,5,7,8,9,10,1] => 010000001 => [1,1,6,1] => 254
[2,3,6,4,5,7,8,9,10,1] => 001000001 => [2,1,5,1] => 534
[6,4,3,8,7,2,5,1] => 1101101 => [2,1,2,1,1] => 252
[5,4,7,2,1,3,8,6] => 1011001 => [1,1,2,2,1] => 295
[7,8,2,3,4,5,1,6,9] => 01000100 => [1,1,3,1,2] => 609
[1,8,9,3,4,5,6,2,7] => 00100010 => [2,1,3,1,1] => 609
[2,6,4,5,7,1,8,3] => 0100101 => [1,1,2,1,1,1] => 359
[3,7,4,6,1,5,8,2] => 0101001 => [1,1,1,1,2,1] => 345
[3,4,6,5,2,8,1,7] => 0011010 => [2,2,1,1,1] => 255
[4,6,7,5,8,2,1,3] => 0010110 => [2,1,1,2,1] => 241
[2,5,7,6,4,1,8,3] => 0011101 => [2,3,1,1] => 171
[5,1,4,6,2,7,8,3] => 1001001 => [1,2,1,2,1] => 281
[1,2,5,3,7,8,6,4] => 0010011 => [2,1,2,2] => 180
[4,8,3,5,1,2,7,6] => 0101001 => [1,1,1,1,2,1] => 345
[6,1,3,7,2,8,4,5] => 1001010 => [1,2,1,1,1,1] => 345
[3,8,5,4,1,7,2,6] => 0111010 => [1,3,1,1,1] => 219
[3,1,5,8,2,6,7,4] => 1001001 => [1,2,1,2,1] => 281
[2,8,5,3,1,7,4,6] => 0111010 => [1,3,1,1,1] => 219
[6,5,2,3,7,1,8,4] => 1100101 => [2,2,1,1,1] => 255
[7,2,1,6,4,8,3,5] => 1101010 => [2,1,1,1,1,1] => 297
[2,1,3,7,5,8,4,6] => 1001010 => [1,2,1,1,1,1] => 345
[6,2,4,5,7,1,8,3] => 1000101 => [1,3,1,1,1] => 219
[2,3,8,7,1,4,6,5] => 0011001 => [2,2,2,1] => 211
[4,2,7,5,6,8,1,3] => 1010010 => [1,1,1,2,1,1] => 359
[2,1,3,4,5,8,6,7,9] => 10000100 => [1,4,1,2] => 303
[6,8,2,5,4,7,3,1] => 0101011 => [1,1,1,1,1,2] => 297
[9,2,3,4,5,1,6,7,8] => 10001000 => [1,3,1,3] => 332
[7,2,3,4,5,6,9,1,8] => 10000010 => [1,5,1,1] => 170
[10,2,3,4,5,6,7,1,8,9] => 100000100 => [1,5,1,2] => 534
[6,2,3,4,5,9,1,7,8] => 10000100 => [1,4,1,2] => 303
[10,2,3,4,5,6,1,7,8,9] => 100001000 => [1,4,1,3] => 709
[5,2,3,4,9,1,6,7,8] => 10001000 => [1,3,1,3] => 332
[10,2,3,4,5,1,6,7,8,9] => 100010000 => [1,3,1,4] => 626
[4,2,3,9,1,5,6,7,8] => 10010000 => [1,2,1,4] => 235
[10,2,3,4,1,5,6,7,8,9] => 100100000 => [1,2,1,5] => 375
[3,2,9,1,4,5,6,7,8] => 10100000 => [1,1,1,5] => 110
[2,7,6,3,8,4,5,1] => 0110101 => [1,2,1,1,1,1] => 345
[4,6,8,2,3,1,7,5] => 0010101 => [2,1,1,1,1,1] => 297
[4,7,2,3,5,1,8,6] => 0100101 => [1,1,2,1,1,1] => 359
[6,4,2,1,3,7,5,8] => 1110010 => [3,2,1,1] => 145
[2,8,1,3,4,5,6,10,7,9] => 010000010 => [1,1,5,1,1] => 794
[10,7,1,2,3,4,5,9,6,8] => 110000010 => [2,5,1,1] => 624
[5,3,2,7,6,1,8,4] => 1101101 => [2,1,2,1,1] => 252
[5,6,4,2,8,7,1,3] => 0110110 => [1,2,1,2,1] => 281
[5,7,4,2,6,1,8,3] => 0110101 => [1,2,1,1,1,1] => 345
[5,4,7,1,6,2,8,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,5,8,7,6,2,1,3] => 0011110 => [2,4,1] => 81
[6,4,7,1,2,3,8,5] => 1010001 => [1,1,1,3,1] => 219
[4,5,6,8,2,9,3,10,7,1] => 000101011 => [3,1,1,1,1,2] => 1430
[10,4,5,6,9,3,8,2,7,1] => 100010101 => [1,3,1,1,1,1,1] => 2717
[4,5,10,6,9,3,8,2,7,1] => 001010101 => [2,1,1,1,1,1,1,1] => 3432
[4,5,8,2,6,10,9,3,7,1] => 001001101 => [2,1,2,2,1,1] => 2694
[10,6,9,5,4,3,8,2,7,1] => 101110101 => [1,1,3,1,1,1,1] => 3014
[8,2,6,10,9,5,4,3,7,1] => 100111101 => [1,2,4,1,1] => 1540
[8,2,10,4,5,6,7,1,9,3] => 101000101 => [1,1,1,3,1,1,1] => 3098
[4,5,6,8,2,10,7,1,9,3] => 000101101 => [3,1,1,2,1,1] => 1762
[10,4,5,6,8,2,7,1,9,3] => 100010101 => [1,3,1,1,1,1,1] => 2717
[4,5,10,6,8,2,7,1,9,3] => 001010101 => [2,1,1,1,1,1,1,1] => 3432
[4,5,10,8,2,6,7,1,9,3] => 001100101 => [2,2,2,1,1,1] => 2728
[10,6,8,2,7,1,9,5,4,3] => 101010111 => [1,1,1,1,1,1,3] => 2002
[10,8,2,6,7,1,9,5,4,3] => 110010111 => [2,2,1,1,3] => 1286
[8,2,7,1,9,3,10,4,5,6] => 101010100 => [1,1,1,1,1,1,1,2] => 3432
[4,5,8,2,7,1,9,3,10,6] => 001010101 => [2,1,1,1,1,1,1,1] => 3432
[4,5,9,3,10,7,1,8,2,6] => 001011010 => [2,1,1,2,1,1,1] => 3040
[4,5,7,1,9,3,8,2,6,10] => 001010100 => [2,1,1,1,1,1,2] => 2431
[8,2,7,1,9,5,4,3,10,6] => 101011101 => [1,1,1,1,3,1,1] => 3014
[9,5,4,3,10,7,1,8,2,6] => 111011010 => [3,1,2,1,1,1] => 1806
[7,1,9,5,4,3,8,2,6,10] => 101110100 => [1,1,3,1,1,2] => 2172
[8,2,6,10,4,5,7,1,9,3] => 100100101 => [1,2,1,2,1,1,1] => 3556
[4,8,2,6,10,5,7,1,9,3] => 010010101 => [1,1,2,1,1,1,1,1] => 4202
[4,10,8,2,5,6,7,1,9,3] => 011000101 => [1,2,3,1,1,1] => 2660
[8,2,6,10,5,7,1,9,4,3] => 100101011 => [1,2,1,1,1,1,2] => 2838
[10,8,2,5,6,7,1,9,4,3] => 110001011 => [2,3,1,1,2] => 1621
[9,3,10,4,5,7,1,8,2,6] => 101001010 => [1,1,1,2,1,1,1,1] => 4274
[4,9,3,10,5,7,1,8,2,6] => 010101010 => [1,1,1,1,1,1,1,1,1] => 4862
[4,9,3,10,7,1,8,2,5,6] => 010110100 => [1,1,1,2,1,1,2] => 3040
[4,7,1,9,3,8,2,5,6,10] => 010101000 => [1,1,1,1,1,1,3] => 2002
[9,4,3,10,5,7,1,8,2,6] => 110101010 => [2,1,1,1,1,1,1,1] => 3432
[9,4,3,10,7,1,8,2,5,6] => 110110100 => [2,1,2,1,1,2] => 2179
[7,1,9,4,3,8,2,5,6,10] => 101101000 => [1,1,2,1,1,3] => 1762
[5,10,7,1,8,2,4,3,9,6] => 011010101 => [1,2,1,1,1,1,1,1] => 4004
[5,7,1,8,2,4,3,9,6,10] => 010101010 => [1,1,1,1,1,1,1,1,1] => 4862
[10,5,7,1,9,4,2,6,8,3] => 101011001 => [1,1,1,1,2,2,1] => 3584
[9,4,2,5,6,7,1,10,8,3] => 110001011 => [2,3,1,1,2] => 1621
[10,5,7,1,8,3,9,4,2,6] => 101010110 => [1,1,1,1,1,1,2,1] => 4004
[10,7,1,8,3,9,4,2,5,6] => 110101100 => [2,1,1,1,2,2] => 2161
[7,1,8,3,9,4,2,5,6,10] => 101011000 => [1,1,1,1,2,3] => 1834
[4,2,5,10,7,1,8,3,9,6] => 100110101 => [1,2,2,1,1,1,1] => 3584
[4,2,5,7,1,8,3,9,6,10] => 100101010 => [1,2,1,1,1,1,1,1] => 4004
[1,8,7,2,3,4,6,5] => 0110001 => [1,2,3,1] => 185
[1,8,3,7,6,2,5,4] => 0101101 => [1,1,1,2,1,1] => 359
[1,3,8,2,5,6,4,7] => 0010010 => [2,1,2,1,1] => 252
[1,3,2,7,4,6,8,5] => 0101001 => [1,1,1,1,2,1] => 345
[1,3,8,4,6,2,7,5] => 0010101 => [2,1,1,1,1,1] => 297
[8,2,3,6,7,4,5,1] => 1000101 => [1,3,1,1,1] => 219
[5,6,4,2,1,7,3,8] => 0111010 => [1,3,1,1,1] => 219
[2,5,7,6,3,8,4,1] => 0011011 => [2,2,1,2] => 180
[6,4,7,1,2,5,3,8] => 1010010 => [1,1,1,2,1,1] => 359
[4,5,6,7,8,9,1,2,10,3] => 000001001 => [5,1,2,1] => 375
[4,5,6,7,8,1,3,9,2] => 00001001 => [4,1,2,1] => 235
[1,2,7,5,8,6,3,4] => 0010110 => [2,1,1,2,1] => 241
[2,1,9,8,7,6,5,3,4] => 10111110 => [1,1,5,1] => 170
[2,1,9,8,7,6,4,3,5] => 10111110 => [1,1,5,1] => 170
[2,1,9,8,7,6,3,5,4] => 10111101 => [1,1,4,1,1] => 450
[2,1,10,9,8,7,6,5,3,4] => 101111110 => [1,1,6,1] => 254
[7,4,5,1,6,8,2,3] => 1010010 => [1,1,1,2,1,1] => 359
[1,7,8,4,2,6,3,5] => 0011010 => [2,2,1,1,1] => 255
[6,3,2,5,7,4,1,8] => 1100110 => [2,2,2,1] => 211
[6,2,1,5,3,7,8,4] => 1101001 => [2,1,1,2,1] => 241
[6,2,5,1,3,8,7,4] => 1010011 => [1,1,1,2,2] => 255
[6,2,8,5,1,3,7,4] => 1011001 => [1,1,2,2,1] => 295
[10,9,7,3,6,1,2,4,8,5] => 111010001 => [3,1,1,3,1] => 1177
[9,7,3,6,1,2,4,10,8,5] => 110100011 => [2,1,1,3,2] => 1621
[7,3,10,9,6,1,2,4,8,5] => 101110001 => [1,1,3,3,1] => 1849
[7,3,9,6,1,2,4,10,8,5] => 101100011 => [1,1,2,3,2] => 2019
[9,6,1,2,4,10,7,3,8,5] => 110001101 => [2,3,2,1,1] => 2019
[8,4,10,9,7,3,6,1,2,5] => 101110100 => [1,1,3,1,1,2] => 2172
[10,8,4,9,7,3,6,1,2,5] => 110110100 => [2,1,2,1,1,2] => 2179
[7,3,8,4,10,9,6,1,2,5] => 101011100 => [1,1,1,1,3,2] => 2244
[7,3,10,8,4,9,6,1,2,5] => 101101100 => [1,1,2,1,2,2] => 2661
[10,7,3,8,4,9,6,1,2,5] => 110101100 => [2,1,1,1,2,2] => 2161
[6,1,2,7,3,8,4,10,9,5] => 100101011 => [1,2,1,1,1,1,2] => 2838
[6,1,2,7,3,10,8,4,9,5] => 100101101 => [1,2,1,1,2,1,1] => 3484
[6,1,2,10,7,3,8,4,9,5] => 100110101 => [1,2,2,1,1,1,1] => 3584
[10,6,1,2,7,3,8,4,9,5] => 110010101 => [2,2,1,1,1,1,1] => 3036
[6,1,3,10,9,7,2,4,8,5] => 100111001 => [1,2,3,2,1] => 2290
[6,1,3,9,7,2,4,10,8,5] => 100110011 => [1,2,2,2,2] => 2306
[10,9,6,1,3,7,2,4,8,5] => 111001001 => [3,2,1,2,1] => 1544
[9,6,1,3,7,2,4,10,8,5] => 110010011 => [2,2,1,2,2] => 1936
[10,7,2,4,9,6,1,3,8,5] => 110011001 => [2,2,2,2,1] => 2306
[6,1,3,8,4,10,9,7,2,5] => 100101110 => [1,2,1,1,3,1] => 2279
[6,1,3,10,8,4,9,7,2,5] => 100110110 => [1,2,2,1,2,1] => 2994
[8,4,10,9,6,1,3,7,2,5] => 101110010 => [1,1,3,2,1,1] => 2704
[10,8,4,9,6,1,3,7,2,5] => 110110010 => [2,1,2,2,1,1] => 2694
[9,6,1,3,8,4,10,7,2,5] => 110010110 => [2,2,1,1,2,1] => 2526
[7,2,6,1,3,8,4,10,9,5] => 101001011 => [1,1,1,2,1,1,2] => 3040
[7,2,6,1,3,10,8,4,9,5] => 101001101 => [1,1,1,2,2,1,1] => 3754
[10,7,2,6,1,3,8,4,9,5] => 110100101 => [2,1,1,2,1,1,1] => 3040
[7,2,10,6,1,3,8,4,9,5] => 101100101 => [1,1,2,2,1,1,1] => 3754
[8,3,6,1,4,10,9,7,2,5] => 101001110 => [1,1,1,2,3,1] => 2479
[10,8,3,6,1,4,9,7,2,5] => 110100110 => [2,1,1,2,2,1] => 2558
[10,9,6,1,4,8,3,7,2,5] => 111001010 => [3,2,1,1,1,1] => 1834
[9,6,1,4,10,8,3,7,2,5] => 110011010 => [2,2,2,1,1,1] => 2728
[8,3,9,6,1,4,10,7,2,5] => 101100110 => [1,1,2,2,2,1] => 3164
[8,3,7,2,6,1,4,10,9,5] => 101010011 => [1,1,1,1,1,2,2] => 3036
[10,8,3,7,2,6,1,4,9,5] => 110101001 => [2,1,1,1,1,2,1] => 2838
[8,3,10,7,2,6,1,4,9,5] => 101101001 => [1,1,2,1,1,2,1] => 3484
[7,2,8,3,10,6,1,4,9,5] => 101011001 => [1,1,1,1,2,2,1] => 3584
[9,4,10,8,3,7,2,6,1,5] => 101101010 => [1,1,2,1,1,1,1,1] => 4202
[8,3,9,4,10,7,2,6,1,5] => 101011010 => [1,1,1,1,2,1,1,1] => 4274
[7,2,8,3,9,4,10,6,1,5] => 101010110 => [1,1,1,1,1,1,2,1] => 4004
[4,1,7,8,3,6,5,2] => 1001011 => [1,2,1,1,2] => 241
[6,4,2,1,7,3,5,8] => 1110100 => [3,1,1,2] => 117
[5,8,4,2,1,3,6,7] => 0111000 => [1,3,3] => 95
[4,5,3,6,7,8,9,1,2] => 01000010 => [1,1,4,1,1] => 450
[5,3,4,6,7,8,9,1,2] => 10000010 => [1,5,1,1] => 170
[1,7,5,8,4,3,6,2] => 0101101 => [1,1,1,2,1,1] => 359
[5,8,1,6,4,7,2,3] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,4,7,5,1,8,6,3] => 0011011 => [2,2,1,2] => 180
[2,3,7,1,8,5,6,4] => 0010101 => [2,1,1,1,1,1] => 297
[6,5,1,2,7,4,8,3] => 1100101 => [2,2,1,1,1] => 255
[3,6,5,7,8,2,4,1] => 0100101 => [1,1,2,1,1,1] => 359
[3,6,5,1,8,7,4,2] => 0110111 => [1,2,1,3] => 137
[7,8,1,2,5,4,3,6] => 0100110 => [1,1,2,2,1] => 295
[2,8,4,3,5,1,7,6] => 0110101 => [1,2,1,1,1,1] => 345
[5,2,4,7,6,8,1,3] => 1001010 => [1,2,1,1,1,1] => 345
[3,1,5,7,4,8,6,2] => 1001011 => [1,2,1,1,2] => 241
[4,1,7,6,8,2,5,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,2,6,4,1,5,3,8] => 1011010 => [1,1,2,1,1,1] => 359
[1,2,6,5,8,3,7,4] => 0010101 => [2,1,1,1,1,1] => 297
[7,3,5,6,1,4,2,8] => 1001010 => [1,2,1,1,1,1] => 345
[5,8,3,1,6,7,4,2] => 0110011 => [1,2,2,2] => 211
[4,5,8,1,7,3,6,2] => 0010101 => [2,1,1,1,1,1] => 297
[4,7,1,6,8,5,2,3] => 0100110 => [1,1,2,2,1] => 295
[5,8,7,1,6,4,2,3] => 0110110 => [1,2,1,2,1] => 281
[1,7,3,8,2,5,4,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[8,4,1,3,6,7,5,2] => 1100011 => [2,3,2] => 126
[5,3,1,8,6,7,4,2] => 1101011 => [2,1,1,1,2] => 207
[6,2,7,1,4,3,5,8] => 1010100 => [1,1,1,1,1,2] => 297
[9,5,4,3,2,1,6,7,8] => 11111000 => [5,3] => 56
[10,3,4,1,2,5,6,7,8,9] => 101000000 => [1,1,1,6] => 154
[8,3,2,6,5,1,7,4] => 1101101 => [2,1,2,1,1] => 252
[7,3,2,6,5,1,4,8] => 1101100 => [2,1,2,2] => 180
[2,6,8,4,7,1,3,5] => 0010100 => [2,1,1,1,2] => 207
[7,8,6,3,2,5,4,1] => 0111011 => [1,3,1,2] => 157
[5,2,8,6,3,1,4,7] => 1011100 => [1,1,3,2] => 171
[1,6,4,8,2,3,5,7] => 0101000 => [1,1,1,1,3] => 165
[2,8,5,6,4,1,7,3] => 0101101 => [1,1,1,2,1,1] => 359
[1,4,7,3,5,8,6,2] => 0010011 => [2,1,2,2] => 180
[3,7,8,2,5,1,6,4] => 0010101 => [2,1,1,1,1,1] => 297
[8,6,1,4,3,2,7,5] => 1101101 => [2,1,2,1,1] => 252
[7,3,8,2,4,1,5,6] => 1010100 => [1,1,1,1,1,2] => 297
[6,3,7,8,1,2,5,4] => 1001001 => [1,2,1,2,1] => 281
[7,6,1,5,2,3,8,4] => 1101001 => [2,1,1,2,1] => 241
[5,1,8,6,7,2,3,4] => 1010100 => [1,1,1,1,1,2] => 297
[5,7,1,6,8,2,3,4] => 0100100 => [1,1,2,1,2] => 252
[6,8,4,2,1,7,3,5] => 0111010 => [1,3,1,1,1] => 219
[6,3,2,8,1,7,4,5] => 1101010 => [2,1,1,1,1,1] => 297
[6,4,1,3,7,8,5,2] => 1100011 => [2,3,2] => 126
[6,8,5,4,3,7,1,2] => 0111010 => [1,3,1,1,1] => 219
[5,7,4,8,3,1,2,6] => 0101100 => [1,1,1,2,2] => 255
[6,1,2,4,8,3,7,5] => 1000101 => [1,3,1,1,1] => 219
[2,5,6,8,1,4,7,3] => 0001001 => [3,1,2,1] => 137
[7,4,1,6,5,2,3,8] => 1101100 => [2,1,2,2] => 180
[4,1,6,5,2,3,8,7] => 1011001 => [1,1,2,2,1] => 295
[4,5,1,7,8,6,2,3] => 0100110 => [1,1,2,2,1] => 295
[8,5,7,3,4,6,2,1] => 1010011 => [1,1,1,2,2] => 255
[6,8,7,4,3,5,2,1] => 0111011 => [1,3,1,2] => 157
[6,8,7,5,3,4,2,1] => 0111011 => [1,3,1,2] => 157
[5,8,6,2,4,7,3,1] => 0110011 => [1,2,2,2] => 211
[4,8,6,2,5,7,3,1] => 0110011 => [1,2,2,2] => 211
[1,6,4,7,5,3,2,8] => 0101110 => [1,1,1,3,1] => 219
[1,6,5,3,2,7,4,8] => 0111010 => [1,3,1,1,1] => 219
[1,6,8,7,4,5,3,2] => 0011011 => [2,2,1,2] => 180
[1,4,7,5,3,2,6,8] => 0011100 => [2,3,2] => 126
[1,7,5,4,3,2,8,6] => 0111101 => [1,4,1,1] => 107
[1,4,7,5,3,2,8,6] => 0011101 => [2,3,1,1] => 171
[1,7,4,6,8,5,3,2] => 0100111 => [1,1,2,3] => 145
[6,8,7,2,3,5,4,1] => 0110011 => [1,2,2,2] => 211
[5,7,6,1,8,2,4,3] => 0110101 => [1,2,1,1,1,1] => 345
[4,8,6,5,7,2,3,1] => 0110101 => [1,2,1,1,1,1] => 345
[2,7,8,5,1,4,3,6] => 0011010 => [2,2,1,1,1] => 255
[8,5,6,2,4,7,3,1] => 1010011 => [1,1,1,2,2] => 255
[3,5,8,4,2,6,1,7] => 0011010 => [2,2,1,1,1] => 255
[8,1,3,6,4,5,2,7] => 1001010 => [1,2,1,1,1,1] => 345
[1,2,3,7,4,8,5,9,6] => 00010101 => [3,1,1,1,1,1] => 572
[1,2,3,4,7,5,9,8,6] => 00001011 => [4,1,1,2] => 200
[1,2,6,3,7,4,9,8,5] => 00101011 => [2,1,1,1,1,2] => 704
[1,2,3,8,6,4,9,7,5] => 00011011 => [3,2,1,2] => 371
[1,2,3,6,4,9,8,7,5] => 00010111 => [3,1,1,3] => 242
[5,1,6,2,7,3,9,8,4] => 10101011 => [1,1,1,1,1,1,2] => 1001
[1,5,2,8,6,3,9,7,4] => 01011011 => [1,1,1,2,1,2] => 875
[1,5,2,6,3,9,8,7,4] => 01010111 => [1,1,1,1,1,3] => 572
[1,2,7,5,3,9,8,6,4] => 00110111 => [2,2,1,3] => 365
[1,2,5,3,9,8,7,6,4] => 00101111 => [2,1,1,4] => 200
[4,1,7,5,2,9,8,6,3] => 10110111 => [1,1,2,1,3] => 502
[4,1,5,2,9,8,7,6,3] => 10101111 => [1,1,1,1,4] => 275
[1,6,4,2,9,8,7,5,3] => 01101111 => [1,2,1,4] => 235
[1,4,2,9,8,7,6,5,3] => 01011111 => [1,1,1,5] => 110
[7,5,3,1,9,8,6,4,2] => 11101111 => [3,1,4] => 125
[5,3,1,9,8,7,6,4,2] => 11011111 => [2,1,5] => 83
[1,2,3,4,8,5,9,6,10,7] => 000010101 => [4,1,1,1,1,1] => 1001
[1,2,3,4,5,8,6,10,9,7] => 000001011 => [5,1,1,2] => 319
[1,2,3,7,4,8,5,10,9,6] => 000101011 => [3,1,1,1,1,2] => 1430
[1,2,3,4,9,7,5,10,8,6] => 000011011 => [4,2,1,2] => 681
[1,2,3,4,7,5,10,9,8,6] => 000010111 => [4,1,1,3] => 451
[1,6,2,7,3,8,4,10,9,5] => 010101011 => [1,1,1,1,1,1,1,2] => 3432
[1,2,6,3,9,7,4,10,8,5] => 001011011 => [2,1,1,2,1,2] => 2179
[1,2,6,3,7,4,10,9,8,5] => 001010111 => [2,1,1,1,1,3] => 1430
[1,2,3,8,6,4,10,9,7,5] => 000110111 => [3,2,1,3] => 802
[1,2,3,6,4,10,9,8,7,5] => 000101111 => [3,1,1,4] => 451
[5,1,6,2,9,7,3,10,8,4] => 101011011 => [1,1,1,1,2,1,2] => 3054
[5,1,6,2,7,3,10,9,8,4] => 101010111 => [1,1,1,1,1,1,3] => 2002
[1,5,2,6,3,10,9,8,7,4] => 010101111 => [1,1,1,1,1,4] => 1001
[1,2,7,5,3,10,9,8,6,4] => 001101111 => [2,2,1,4] => 666
[1,2,5,3,10,9,8,7,6,4] => 001011111 => [2,1,1,5] => 319
[7,4,1,8,5,2,10,9,6,3] => 110110111 => [2,1,2,1,3] => 1304
[4,1,9,7,5,2,10,8,6,3] => 101110111 => [1,1,3,1,3] => 1330
[4,1,7,5,2,10,9,8,6,3] => 101101111 => [1,1,2,1,4] => 901
[4,1,5,2,10,9,8,7,6,3] => 101011111 => [1,1,1,1,5] => 429
[1,8,6,4,2,10,9,7,5,3] => 011101111 => [1,3,1,4] => 626
[1,6,4,2,10,9,8,7,5,3] => 011011111 => [1,2,1,5] => 375
[1,4,2,10,9,8,7,6,5,3] => 010111111 => [1,1,1,6] => 154
[7,5,3,1,10,9,8,6,4,2] => 111011111 => [3,1,5] => 209
[5,3,1,10,9,8,7,6,4,2] => 110111111 => [2,1,6] => 119
[4,3,1,6,2,5,8,7] => 1101001 => [2,1,1,2,1] => 241
[7,5,2,1,8,4,3,6] => 1110110 => [3,1,2,1] => 137
[5,3,1,4,7,8,2,6] => 1100010 => [2,3,1,1] => 171
[7,1,2,4,8,3,5,6] => 1000100 => [1,3,1,2] => 157
[8,6,1,3,5,7,4,2] => 1100011 => [2,3,2] => 126
[7,1,5,8,2,3,4,6] => 1001000 => [1,2,1,3] => 137
[3,6,8,5,1,4,2,7] => 0011010 => [2,2,1,1,1] => 255
[5,2,4,1,6,8,3,7] => 1010010 => [1,1,1,2,1,1] => 359
[2,5,3,4,6,8,1,7] => 0100010 => [1,1,3,1,1] => 233
[4,7,1,2,5,6,3,8] => 0100010 => [1,1,3,1,1] => 233
[6,7,3,1,8,2,4,5] => 0110100 => [1,2,1,1,2] => 241
[7,3,1,4,6,2,8,5] => 1100101 => [2,2,1,1,1] => 255
[7,4,1,2,5,6,3,8] => 1100010 => [2,3,1,1] => 171
[5,4,1,3,6,8,7,2] => 1100011 => [2,3,2] => 126
[5,7,4,8,1,6,3,2] => 0101011 => [1,1,1,1,1,2] => 297
[4,3,1,2,5,7,6,8] => 1100010 => [2,3,1,1] => 171
[2,3,4,5,8,7,6,1,9] => 00001110 => [4,3,1] => 175
[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] => 110
[1,2,3,8,9,5,6,7,4] => 00001001 => [4,1,2,1] => 235
[1,2,4,7,8,5,6,3] => 0000101 => [4,1,1,1] => 75
[1,2,8,9,4,5,6,7,3] => 00010001 => [3,1,3,1] => 332
[8,3,6,5,7,4,2,1] => 1010111 => [1,1,1,1,3] => 165
[8,2,6,5,7,4,3,1] => 1010111 => [1,1,1,1,3] => 165
[8,4,7,1,5,2,6,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,2,6,3,7,5,4,1] => 1010111 => [1,1,1,1,3] => 165
[8,2,5,3,7,6,4,1] => 1010111 => [1,1,1,1,3] => 165
[8,5,7,1,4,3,6,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,3,1,8,4,2,6,7] => 1101100 => [2,1,2,2] => 180
[4,5,3,6,8,7,1,2] => 0100110 => [1,1,2,2,1] => 295
[2,1,6,5,8,7,3,4] => 1010110 => [1,1,1,1,2,1] => 345
[6,1,5,4,7,3,8,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[9,4,2,3,5,6,7,8,1] => 11000001 => [2,5,1] => 133
[3,1,8,4,2,7,6,5] => 1011011 => [1,1,2,1,2] => 252
[2,8,7,4,1,3,6,5] => 0111001 => [1,3,2,1] => 185
[8,2,3,1,7,6,4,5] => 1010110 => [1,1,1,1,2,1] => 345
[8,7,2,3,1,6,4,5] => 1101010 => [2,1,1,1,1,1] => 297
[7,2,5,8,3,1,4,6] => 1001100 => [1,2,2,2] => 211
[6,8,2,3,1,7,4,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[8,2,5,7,3,1,4,6] => 1001100 => [1,2,2,2] => 211
[8,2,7,3,1,4,5,6] => 1011000 => [1,1,2,3] => 145
[5,3,2,8,7,1,6,4] => 1101101 => [2,1,2,1,1] => 252
[8,6,7,4,1,3,5,2] => 1011001 => [1,1,2,2,1] => 295
[4,1,3,6,5,2,8,7] => 1001101 => [1,2,2,1,1] => 295
[4,6,3,2,5,1,8,7] => 0110101 => [1,2,1,1,1,1] => 345
[4,8,3,2,6,5,7,1] => 0110101 => [1,2,1,1,1,1] => 345
[4,8,3,6,5,2,7,1] => 0101101 => [1,1,1,2,1,1] => 359
[8,1,6,2,5,4,7,3] => 1010101 => [1,1,1,1,1,1,1] => 429
[2,4,3,8,6,1,7,5] => 0101101 => [1,1,1,2,1,1] => 359
[2,6,3,8,5,4,7,1] => 0101101 => [1,1,1,2,1,1] => 359
[6,1,3,2,5,8,7,4] => 1010011 => [1,1,1,2,2] => 255
[6,8,4,2,5,3,7,1] => 0110101 => [1,2,1,1,1,1] => 345
[6,8,4,3,5,2,7,1] => 0110101 => [1,2,1,1,1,1] => 345
[8,1,4,6,5,3,7,2] => 1001101 => [1,2,2,1,1] => 295
[1,4,2,5,6,7,9,8,3] => 01000011 => [1,1,4,2] => 343
[2,1,4,5,6,9,7,3,8] => 10000110 => [1,4,2,1] => 358
[3,5,4,6,1,2,8,7] => 0101001 => [1,1,1,1,2,1] => 345
[3,1,5,2,9,6,7,8,4] => 10101001 => [1,1,1,1,1,2,1] => 1166
[4,5,1,6,8,7,9,2,3] => 01001010 => [1,1,2,1,1,1,1] => 1220
[1,4,2,5,6,7,8,10,9,3] => 010000011 => [1,1,5,2] => 624
[2,1,4,5,6,7,10,8,3,9] => 100000110 => [1,5,2,1] => 630
[2,3,1,5,9,6,7,4,8] => 01001010 => [1,1,2,1,1,1,1] => 1220
[1,2,4,5,7,9,6,3,8] => 00000110 => [5,2,1] => 98
[3,4,6,5,7,1,2,9,8] => 00101001 => [2,1,1,1,2,1] => 821
[3,1,9,4,2,6,7,8,5] => 10110001 => [1,1,2,3,1] => 685
[7,3,5,6,1,8,2,4] => 1001010 => [1,2,1,1,1,1] => 345
[1,2,5,3,9,6,8,7,4] => 00101011 => [2,1,1,1,1,2] => 704
[3,1,5,2,6,10,7,8,9,4] => 101001001 => [1,1,1,2,1,2,1] => 3556
[4,5,1,7,6,8,2,9,3] => 01010101 => [1,1,1,1,1,1,1,1] => 1430
[4,5,1,6,7,9,8,10,2,3] => 010001010 => [1,1,3,1,1,1,1] => 3014
[5,7,6,3,4,2,8,1] => 0110101 => [1,2,1,1,1,1] => 345
[4,6,7,2,3,5,8,1] => 0010001 => [2,1,3,1] => 157
[6,5,4,8,7,2,3,1] => 1101101 => [2,1,2,1,1] => 252
[7,2,8,3,9,4,10,5,1,6] => 101010110 => [1,1,1,1,1,1,2,1] => 4004
[7,2,8,3,9,4,10,1,5,6] => 101010100 => [1,1,1,1,1,1,1,2] => 3432
[7,2,8,3,9,10,4,5,1,6] => 101001010 => [1,1,1,2,1,1,1,1] => 4274
[7,2,8,3,9,10,4,1,5,6] => 101001100 => [1,1,1,2,2,2] => 2728
[7,2,8,3,9,10,1,4,5,6] => 101001000 => [1,1,1,2,1,3] => 1806
[7,2,8,9,3,4,10,5,1,6] => 100100110 => [1,2,1,2,2,1] => 2994
[7,2,8,9,3,4,10,1,5,6] => 100100100 => [1,2,1,2,1,2] => 2550
[7,2,8,9,3,10,4,5,1,6] => 100101010 => [1,2,1,1,1,1,1,1] => 4004
[7,2,8,9,3,10,4,1,5,6] => 100101100 => [1,2,1,1,2,2] => 2526
[7,2,8,9,3,10,1,4,5,6] => 100101000 => [1,2,1,1,1,3] => 1672
[7,2,8,9,10,3,4,5,1,6] => 100010010 => [1,3,1,2,1,1] => 2407
[7,2,8,9,10,3,4,1,5,6] => 100010100 => [1,3,1,1,1,2] => 1947
[7,2,8,9,10,3,1,4,5,6] => 100011000 => [1,3,2,3] => 1109
[7,8,2,3,9,4,10,5,1,6] => 010010110 => [1,1,2,1,1,2,1] => 3484
[7,8,2,3,9,4,10,1,5,6] => 010010100 => [1,1,2,1,1,1,2] => 2982
[7,8,2,3,9,10,4,5,1,6] => 010001010 => [1,1,3,1,1,1,1] => 3014
[7,8,2,3,9,10,4,1,5,6] => 010001100 => [1,1,3,2,2] => 1986
[7,8,2,3,9,10,1,4,5,6] => 010001000 => [1,1,3,1,3] => 1330
[7,8,2,9,3,4,10,5,1,6] => 010100110 => [1,1,1,1,2,2,1] => 3584
[7,8,2,9,3,4,10,1,5,6] => 010100100 => [1,1,1,1,2,1,2] => 3054
[7,8,2,9,3,10,4,5,1,6] => 010101010 => [1,1,1,1,1,1,1,1,1] => 4862
[7,8,2,9,3,10,4,1,5,6] => 010101100 => [1,1,1,1,1,2,2] => 3036
[7,8,2,9,3,10,1,4,5,6] => 010101000 => [1,1,1,1,1,1,3] => 2002
[7,8,2,9,10,3,4,5,1,6] => 010010010 => [1,1,2,1,2,1,1] => 3667
[7,8,2,9,10,3,4,1,5,6] => 010010100 => [1,1,2,1,1,1,2] => 2982
[7,8,2,9,10,3,1,4,5,6] => 010011000 => [1,1,2,2,3] => 1634
[7,8,2,9,10,1,3,4,5,6] => 010010000 => [1,1,2,1,4] => 901
[7,8,9,2,3,4,10,5,1,6] => 001000110 => [2,1,3,2,1] => 1942
[7,8,9,2,3,4,10,1,5,6] => 001000100 => [2,1,3,1,2] => 1647
[7,8,9,2,3,10,4,5,1,6] => 001001010 => [2,1,2,1,1,1,1] => 3054
[7,8,9,2,3,10,4,1,5,6] => 001001100 => [2,1,2,2,2] => 1963
[7,8,9,2,3,10,1,4,5,6] => 001001000 => [2,1,2,1,3] => 1304
[7,8,9,2,10,3,4,5,1,6] => 001010010 => [2,1,1,1,2,1,1] => 2982
[7,8,9,2,10,3,4,1,5,6] => 001010100 => [2,1,1,1,1,1,2] => 2431
[7,8,9,2,10,3,1,4,5,6] => 001011000 => [2,1,1,2,3] => 1318
[7,8,9,2,10,1,3,4,5,6] => 001010000 => [2,1,1,1,4] => 726
[7,8,9,10,2,3,4,1,5,6] => 000100100 => [3,1,2,1,2] => 1304
[7,8,9,10,2,3,1,4,5,6] => 000101000 => [3,1,1,1,3] => 858
[7,8,9,10,2,1,3,4,5,6] => 000110000 => [3,2,4] => 431
[4,8,7,6,5,3,2,1,9] => 01111110 => [1,6,1] => 50
[5,9,8,7,6,4,3,2,1,10] => 011111110 => [1,7,1] => 65
[5,8,7,4,6,3,2,1,9] => 01101110 => [1,2,1,3,1] => 646
[8,4,7,6,5,3,2,1,9] => 10111110 => [1,1,5,1] => 170
[5,7,4,3,6,2,1,8] => 0110110 => [1,2,1,2,1] => 281
[6,9,8,5,7,4,1,3,2] => 01101101 => [1,2,1,2,1,1] => 1006
[9,8,7,5,1,6,4,3,2] => 11110111 => [4,1,3] => 125
[10,9,8,6,1,7,5,4,3,2] => 111101111 => [4,1,4] => 251
[1,2,8,3,4,5,6,9,7] => 00100001 => [2,1,4,1] => 303
[1,9,5,2,3,8,4,6,7] => 01100100 => [1,2,2,1,2] => 731
[1,2,9,3,4,5,6,7,10,8] => 001000001 => [2,1,5,1] => 534
[1,8,2,9,4,3,5,6,7] => 01011000 => [1,1,1,2,3] => 516
[1,3,2,4,9,8,5,6,7] => 01001100 => [1,1,2,2,2] => 765
[2,1,3,4,5,9,8,6,7] => 10000110 => [1,4,2,1] => 358
[1,2,3,4,5,9,6,7,10,8] => 000001001 => [5,1,2,1] => 375
[9,1,7,2,3,4,5,8,6] => 10100001 => [1,1,1,4,1] => 410
[1,10,6,2,3,4,9,5,7,8] => 011000100 => [1,2,3,1,2] => 1942
[1,8,5,2,3,4,6,9,7] => 01100001 => [1,2,4,1] => 358
[9,8,1,2,3,5,6,4,7] => 11000010 => [2,4,1,1] => 343
[1,5,2,9,3,10,4,6,7,8] => 010101000 => [1,1,1,1,1,1,3] => 2002
[1,4,2,3,9,5,6,8,7] => 01001001 => [1,1,2,1,2,1] => 1006
[1,8,5,6,2,3,7,4] => 0101001 => [1,1,1,1,2,1] => 345
[4,9,8,1,2,5,3,6,7] => 01100100 => [1,2,2,1,2] => 731
[1,2,4,3,10,9,5,6,7,8] => 001011000 => [2,1,1,2,3] => 1318
[1,3,2,4,5,9,6,8,7] => 01000101 => [1,1,3,1,1,1] => 842
[1,8,3,9,4,2,5,6,7] => 01011000 => [1,1,1,2,3] => 516
[1,3,2,4,5,10,9,6,7,8] => 010001100 => [1,1,3,2,2] => 1986
[2,3,1,4,9,8,5,6,7] => 01001100 => [1,1,2,2,2] => 765
[2,1,3,4,5,9,6,10,7,8] => 100001010 => [1,4,1,1,1,1] => 1529
[7,2,4,6,8,1,5,3] => 1000101 => [1,3,1,1,1] => 219
[6,2,5,4,7,8,1,3] => 1010010 => [1,1,1,2,1,1] => 359
[3,8,2,6,1,7,4,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[8,5,6,1,3,2,7,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[5,3,7,8,2,6,1,4] => 1001010 => [1,2,1,1,1,1] => 345
[4,5,8,3,6,1,7,2] => 0010101 => [2,1,1,1,1,1] => 297
[4,5,8,7,2,3,1,6] => 0011010 => [2,2,1,1,1] => 255
[8,2,6,4,3,7,5,1] => 1011011 => [1,1,2,1,2] => 252
[6,3,1,8,7,4,5,2] => 1101101 => [2,1,2,1,1] => 252
[8,6,3,2,7,4,5,1] => 1110101 => [3,1,1,1,1] => 165
[1,3,6,8,7,4,5,2] => 0001101 => [3,2,1,1] => 145
[5,7,1,3,6,2,4,8] => 0100100 => [1,1,2,1,2] => 252
[4,7,5,2,3,6,8,1] => 0110001 => [1,2,3,1] => 185
[3,6,4,1,2,5,7,8] => 0110000 => [1,2,4] => 65
[4,7,1,3,2,5,8,6] => 0101001 => [1,1,1,1,2,1] => 345
[4,7,1,3,2,6,8,5] => 0101001 => [1,1,1,1,2,1] => 345
[5,7,1,3,6,2,8,4] => 0100101 => [1,1,2,1,1,1] => 359
[6,8,2,5,7,3,1,4] => 0100110 => [1,1,2,2,1] => 295
[4,8,5,2,3,6,1,7] => 0110010 => [1,2,2,1,1] => 295
[5,8,6,3,4,7,2,1] => 0110011 => [1,2,2,2] => 211
[3,7,5,4,2,8,1,6] => 0111010 => [1,3,1,1,1] => 219
[4,6,5,1,7,8,2,3] => 0110010 => [1,2,2,1,1] => 295
[4,7,1,3,2,8,5,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[3,6,5,1,8,2,4,7] => 0110100 => [1,2,1,1,2] => 241
[5,8,7,3,4,2,6,1] => 0110101 => [1,2,1,1,1,1] => 345
[8,7,6,5,4,1,9,3,2] => 11111011 => [5,1,2] => 83
[8,7,6,5,2,9,1,3,4] => 11110100 => [4,1,1,2] => 200
[8,7,6,3,9,2,1,4,5] => 11101100 => [3,1,2,2] => 365
[8,7,4,9,3,2,1,6,5] => 11011101 => [2,1,3,1,1] => 609
[8,5,9,4,3,2,1,6,7] => 10111100 => [1,1,4,2] => 343
[6,9,5,4,3,2,1,7,8] => 01111100 => [1,5,2] => 133
[9,8,7,6,5,4,1,10,3,2] => 111111011 => [6,1,2] => 119
[8,7,6,5,2,1,4,3,9] => 11111010 => [5,1,1,1] => 110
[9,8,7,6,5,2,10,1,3,4] => 111110100 => [5,1,1,2] => 319
[8,7,6,3,2,5,1,4,9] => 11110100 => [4,1,1,2] => 200
[8,7,6,5,1,9,4,3,2] => 11110111 => [4,1,3] => 125
[9,8,7,6,3,10,2,1,4,5] => 111101100 => [4,1,2,2] => 666
[8,7,4,3,6,2,1,9,5] => 11101101 => [3,1,2,1,1] => 502
[8,7,6,2,9,5,1,3,4] => 11101100 => [3,1,2,2] => 365
[9,8,7,4,10,3,2,1,6,5] => 111011101 => [3,1,3,1,1] => 1330
[8,5,4,7,3,2,1,6,9] => 11011100 => [2,1,3,2] => 452
[8,7,3,9,6,2,1,4,5] => 11011100 => [2,1,3,2] => 452
[9,8,5,10,4,3,2,1,6,7] => 110111100 => [2,1,4,2] => 1001
[6,5,8,4,3,2,1,7,9] => 10111100 => [1,1,4,2] => 343
[8,4,9,7,3,2,1,6,5] => 10111101 => [1,1,4,1,1] => 450
[9,6,10,5,4,3,2,1,7,8] => 101111100 => [1,1,5,2] => 624
[5,9,8,4,3,2,1,6,7] => 01111100 => [1,5,2] => 133
[7,10,6,5,4,3,2,1,9,8] => 011111101 => [1,6,1,1] => 254
[8,5,2,3,7,4,6,1] => 1100101 => [2,2,1,1,1] => 255
[6,3,1,5,4,8,2,7] => 1101010 => [2,1,1,1,1,1] => 297
[4,7,6,3,5,2,8,1] => 0110101 => [1,2,1,1,1,1] => 345
[1,7,5,3,4,8,6,2] => 0110011 => [1,2,2,2] => 211
[5,8,2,3,4,7,6,1] => 0100011 => [1,1,3,2] => 171
[8,7,3,2,6,4,5,1] => 1110101 => [3,1,1,1,1] => 165
[8,3,1,4,7,5,2,6] => 1100110 => [2,2,2,1] => 211
[5,3,1,6,4,8,7,2] => 1101011 => [2,1,1,1,2] => 207
[3,4,8,5,7,2,6,1] => 0010101 => [2,1,1,1,1,1] => 297
[8,5,1,2,7,6,4,3] => 1100111 => [2,2,3] => 105
[10,7,8,1,2,3,4,5,6,9] => 101000000 => [1,1,1,6] => 154
[6,7,10,1,2,3,4,5,8,9] => 001000000 => [2,1,6] => 119
[8,2,6,3,1,5,4,7] => 1011010 => [1,1,2,1,1,1] => 359
[3,7,8,5,6,2,4,1] => 0010101 => [2,1,1,1,1,1] => 297
[1,10,2,3,4,7,5,6,8,9] => 010001000 => [1,1,3,1,3] => 1330
[7,4,3,6,2,5,8,1] => 1101001 => [2,1,1,2,1] => 241
[4,3,8,7,1,6,2,5] => 1011010 => [1,1,2,1,1,1] => 359
[1,5,3,8,4,7,2,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[8,2,3,1,6,5,7,4] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,4,2,7,1,3,6,5] => 1101001 => [2,1,1,2,1] => 241
[8,4,2,3,1,6,7,5] => 1101001 => [2,1,1,2,1] => 241
[4,7,2,3,6,5,8,1] => 0100101 => [1,1,2,1,1,1] => 359
[3,8,2,6,4,7,1,5] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,7,5,8,6,2,4,3] => 0101101 => [1,1,1,2,1,1] => 359
[6,5,1,7,4,8,3,2] => 1101011 => [2,1,1,1,2] => 207
[10,9,8,6,7,5,4,3,2,1] => 111011111 => [3,1,5] => 209
[7,6,3,5,1,4,8,2] => 1101001 => [2,1,1,2,1] => 241
[6,5,4,1,7,2,3,8] => 1110100 => [3,1,1,2] => 117
[8,3,6,1,7,4,5,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,1,2,6,4,8,3,5] => 1001010 => [1,2,1,1,1,1] => 345
[3,5,1,8,6,2,4,7] => 0101100 => [1,1,1,2,2] => 255
[8,7,5,6,4,3,2,1,9] => 11011110 => [2,1,4,1] => 303
[8,6,5,7,4,3,2,1,9] => 11011110 => [2,1,4,1] => 303
[9,8,7,6,4,3,2,5,1] => 11111101 => [6,1,1] => 35
[9,8,7,6,4,3,5,2,1] => 11111011 => [5,1,2] => 83
[8,5,6,7,4,3,2,1,9] => 10011110 => [1,2,4,1] => 358
[10,9,7,6,8,5,4,3,2,1] => 111011111 => [3,1,5] => 209
[6,7,5,8,4,3,2,1,9] => 01011110 => [1,1,1,4,1] => 410
[10,8,7,6,9,5,4,3,2,1] => 111011111 => [3,1,5] => 209
[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] => 110
[9,8,7,6,4,3,2,5,1,10] => 111111010 => [6,1,1,1] => 154
[9,8,7,6,4,5,2,3,1] => 11110101 => [4,1,1,1,1] => 275
[9,8,7,6,4,3,5,2,1,10] => 111110110 => [5,1,2,1] => 375
[9,8,7,6,5,3,4,2,1] => 11111011 => [5,1,2] => 83
[1,8,7,5,4,6,2,3] => 0111010 => [1,3,1,1,1] => 219
[8,1,6,7,4,5,3,2] => 1001011 => [1,2,1,1,2] => 241
[8,1,6,4,7,5,3,2] => 1010111 => [1,1,1,1,3] => 165
[6,4,8,1,5,3,7,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[1,6,4,3,5,8,2,7] => 0110010 => [1,2,2,1,1] => 295
[5,1,4,3,7,8,6,2] => 1010011 => [1,1,1,2,2] => 255
[5,7,1,8,6,3,2,4] => 0101110 => [1,1,1,3,1] => 219
[5,7,6,3,4,2,1,8] => 0110110 => [1,2,1,2,1] => 281
[4,1,3,7,6,5,2,8] => 1001110 => [1,2,3,1] => 185
[8,7,6,5,4,2,3,1,9] => 11111010 => [5,1,1,1] => 110
[4,3,6,1,2,7,8,5] => 1010001 => [1,1,1,3,1] => 219
[1,10,9,8,6,5,7,4,3,2] => 011110111 => [1,4,1,3] => 709
[2,9,8,6,5,7,4,3,1] => 01110111 => [1,3,1,3] => 332
[3,1,4,5,6,7,9,2,10,8] => 100000101 => [1,5,1,1,1] => 704
[5,8,3,6,7,2,4,1] => 0100101 => [1,1,2,1,1,1] => 359
[8,1,6,2,5,7,4,3] => 1010011 => [1,1,1,2,2] => 255
[2,7,1,5,3,6,8,4] => 0101001 => [1,1,1,1,2,1] => 345
[6,8,7,3,4,2,5,1] => 0110101 => [1,2,1,1,1,1] => 345
[1,8,6,2,4,7,5,3] => 0110011 => [1,2,2,2] => 211
[5,7,3,6,4,2,1,8] => 0101110 => [1,1,1,3,1] => 219
[5,7,3,6,4,1,8,2] => 0101101 => [1,1,1,2,1,1] => 359
[3,7,5,6,4,1,8,2] => 0101101 => [1,1,1,2,1,1] => 359
[7,1,8,2,3,4,5,9,6] => 10100001 => [1,1,1,4,1] => 410
[6,8,1,2,3,4,5,9,7] => 01000001 => [1,1,5,1] => 170
[9,6,7,4,5,2,3,1,8] => 10101010 => [1,1,1,1,1,1,1,1] => 1430
[8,9,6,7,4,5,2,1,3] => 01010110 => [1,1,1,1,1,2,1] => 1166
[10,8,9,6,7,4,5,2,1,3] => 101010110 => [1,1,1,1,1,1,2,1] => 4004
[9,8,6,5,4,3,7,2,1] => 11111011 => [5,1,2] => 83
[2,8,5,7,3,4,6,1] => 0101001 => [1,1,1,1,2,1] => 345
[2,3,6,4,5,1,7,8,9] => 00101000 => [2,1,1,1,3] => 407
[2,3,4,8,5,6,7,1,9] => 00010010 => [3,1,2,1,1] => 502
[3,5,4,7,2,6,1,8,9] => 01010100 => [1,1,1,1,1,1,2] => 1001
[2,6,4,1,5,3,7,8,9] => 01101000 => [1,2,1,1,3] => 476
[4,5,2,6,3,1,7,8,9] => 01011000 => [1,1,1,2,3] => 516
[3,6,4,5,9,2,7,8,1] => 01001001 => [1,1,2,1,2,1] => 1006
[2,5,4,7,8,6,3,1,9] => 01001110 => [1,1,2,3,1] => 685
[4,6,2,5,8,3,7,1,9] => 01001010 => [1,1,2,1,1,1,1] => 1220
[3,5,7,6,1,4,2,8,9] => 00110100 => [2,2,1,1,2] => 620
[5,6,2,3,7,4,1,8,9] => 01001100 => [1,1,2,2,2] => 765
[5,7,2,3,6,9,4,8,1] => 01000101 => [1,1,3,1,1,1] => 842
[2,8,4,1,6,3,7,5,9] => 01101010 => [1,2,1,1,1,1,1] => 1166
[4,6,7,8,3,1,5,2,9] => 00011010 => [3,2,1,1,1] => 516
[6,7,2,3,4,8,5,1,9] => 01000110 => [1,1,3,2,1] => 718
[3,5,9,7,1,8,2,6,4] => 00110101 => [2,2,1,1,1,1] => 875
[5,7,8,3,9,4,1,6,2] => 00101101 => [2,1,1,2,1,1] => 861
[7,8,2,3,4,5,9,6,1] => 01000011 => [1,1,4,2] => 343
[2,4,3,1,5,6,7,8,9,10] => 011000000 => [1,2,6] => 140
[2,3,6,4,5,1,7,8,9,10] => 001010000 => [2,1,1,1,4] => 726
[3,4,5,2,1,6,7,8,9,10] => 001100000 => [2,2,5] => 301
[2,3,4,8,5,6,7,1,9,10] => 000100100 => [3,1,2,1,2] => 1304
[3,5,4,7,2,6,1,8,9,10] => 010101000 => [1,1,1,1,1,1,3] => 2002
[2,6,4,1,5,3,7,8,9,10] => 011010000 => [1,2,1,1,4] => 851
[4,5,2,6,3,1,7,8,9,10] => 010110000 => [1,1,1,2,4] => 931
[3,6,4,5,9,2,7,8,1,10] => 010010010 => [1,1,2,1,2,1,1] => 3667
[2,5,4,7,8,6,3,1,9,10] => 010011100 => [1,1,2,3,2] => 2019
[4,6,2,5,8,3,7,1,9,10] => 010010100 => [1,1,2,1,1,1,2] => 2982
[3,5,7,6,1,4,2,8,9,10] => 001101000 => [2,2,1,1,3] => 1286
[5,6,2,3,7,4,1,8,9,10] => 010011000 => [1,1,2,2,3] => 1634
[2,5,4,8,6,10,7,3,9,1] => 010101101 => [1,1,1,1,1,2,1,1] => 4202
[4,7,2,5,6,10,3,8,9,1] => 010001001 => [1,1,3,1,2,1] => 2548
[2,3,9,5,6,1,7,8,4,10] => 001010010 => [2,1,1,1,2,1,1] => 2982
[5,7,2,3,6,9,4,8,1,10] => 010001010 => [1,1,3,1,1,1,1] => 3014
[2,8,4,1,6,3,7,5,9,10] => 011010100 => [1,2,1,1,1,1,2] => 2838
[4,6,7,8,3,1,5,2,9,10] => 000110100 => [3,2,1,1,2] => 1318
[6,7,2,3,4,8,5,1,9,10] => 010001100 => [1,1,3,2,2] => 1986
[3,6,4,10,8,7,1,5,9,2] => 010111001 => [1,1,1,3,2,1] => 2660
[2,7,4,9,6,3,10,8,5,1] => 010110111 => [1,1,1,2,1,3] => 1806
[4,6,8,7,3,9,10,5,2,1] => 001100111 => [2,2,2,3] => 1198
[6,8,2,3,4,7,10,5,9,1] => 010000101 => [1,1,4,1,1,1] => 1754
[3,5,9,7,1,8,2,6,4,10] => 001101010 => [2,2,1,1,1,1,1] => 3036
[5,7,8,3,9,4,1,6,2,10] => 001011010 => [2,1,1,2,1,1,1] => 3040
[7,8,2,3,4,5,9,6,1,10] => 010000110 => [1,1,4,2,1] => 1540
[4,6,8,10,9,1,5,2,7,3] => 000110101 => [3,2,1,1,1,1] => 1834
[6,8,9,3,4,10,5,1,7,2] => 001001101 => [2,1,2,2,1,1] => 2694
[8,9,2,3,4,5,6,10,7,1] => 010000011 => [1,1,5,2] => 624
[2,1,3,8,5,4,6,7] => 1001100 => [1,2,2,2] => 211
[5,3,6,8,2,4,1,7] => 1001010 => [1,2,1,1,1,1] => 345
[1,7,8,6,3,2,4,5] => 0011100 => [2,3,2] => 126
[7,1,2,5,3,8,4,6] => 1001010 => [1,2,1,1,1,1] => 345
[3,7,4,2,5,1,8,6] => 0110101 => [1,2,1,1,1,1] => 345
[1,8,3,4,5,7,2,6] => 0100010 => [1,1,3,1,1] => 233
[2,6,7,5,3,8,1,4] => 0011010 => [2,2,1,1,1] => 255
[4,5,2,6,8,7,1,3] => 0100110 => [1,1,2,2,1] => 295
[4,5,2,6,8,3,1,7] => 0100110 => [1,1,2,2,1] => 295
[4,5,7,6,2,1,3,8] => 0011100 => [2,3,2] => 126
[7,8,2,6,5,4,3,1] => 0101111 => [1,1,1,4] => 75
[5,3,7,8,4,2,1,6] => 1001110 => [1,2,3,1] => 185
[7,3,6,8,1,5,4,2] => 1001011 => [1,2,1,1,2] => 241
[9,7,8,5,6,2,4,1,3] => 10101010 => [1,1,1,1,1,1,1,1] => 1430
[9,7,8,4,6,2,5,1,3] => 10101010 => [1,1,1,1,1,1,1,1] => 1430
[9,6,8,4,7,2,5,1,3] => 10101010 => [1,1,1,1,1,1,1,1] => 1430
[8,9,6,4,7,2,5,1,3] => 01101010 => [1,2,1,1,1,1,1] => 1166
[8,9,6,7,4,2,5,1,3] => 01011010 => [1,1,1,2,1,1,1] => 1234
[9,7,8,3,6,2,5,1,4] => 10101010 => [1,1,1,1,1,1,1,1] => 1430
[9,5,8,4,7,2,6,1,3] => 10101010 => [1,1,1,1,1,1,1,1] => 1430
[7,6,9,4,8,2,5,1,3] => 10101010 => [1,1,1,1,1,1,1,1] => 1430
[8,6,9,7,4,2,5,1,3] => 10111010 => [1,1,3,1,1,1] => 842
[10,8,9,6,4,7,2,5,1,3] => 101101010 => [1,1,2,1,1,1,1,1] => 4202
[8,9,6,4,7,5,2,1,3] => 01101110 => [1,2,1,3,1] => 646
[10,8,9,6,7,4,2,5,1,3] => 101011010 => [1,1,1,1,2,1,1,1] => 4274
[8,9,6,7,4,2,5,3,1] => 01011011 => [1,1,1,2,1,2] => 875
[7,5,8,2,4,3,6,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,5,8,2,3,4,1,7] => 1010010 => [1,1,1,2,1,1] => 359
[8,1,5,3,4,6,2,7] => 1010010 => [1,1,1,2,1,1] => 359
[5,8,7,2,4,3,6,1] => 0110101 => [1,2,1,1,1,1] => 345
[1,7,2,4,8,5,6,3] => 0100101 => [1,1,2,1,1,1] => 359
[5,8,2,3,7,4,6,1] => 0100101 => [1,1,2,1,1,1] => 359
[7,8,2,3,5,4,6,1] => 0100101 => [1,1,2,1,1,1] => 359
[8,4,1,3,2,6,5,7] => 1101010 => [2,1,1,1,1,1] => 297
[8,7,2,3,5,4,6,1] => 1100101 => [2,2,1,1,1] => 255
[1,7,6,8,4,5,3,2] => 0101011 => [1,1,1,1,1,2] => 297
[2,7,3,1,8,5,6,4] => 0110101 => [1,2,1,1,1,1] => 345
[3,8,5,2,1,6,7,4] => 0111001 => [1,3,2,1] => 185
[10,1,2,9,6,3,4,5,7,8] => 100110000 => [1,2,2,4] => 801
[4,1,2,10,3,5,9,6,7,8] => 100100100 => [1,2,1,2,1,2] => 2550
[2,8,6,1,5,7,4,3] => 0110011 => [1,2,2,2] => 211
[8,3,5,1,7,6,4,2] => 1010111 => [1,1,1,1,3] => 165
[8,3,5,4,7,1,6,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[6,4,1,5,7,8,2,3] => 1100010 => [2,3,1,1] => 171
[4,8,7,1,2,5,3,6] => 0110010 => [1,2,2,1,1] => 295
[8,7,2,6,1,4,3,5] => 1101010 => [2,1,1,1,1,1] => 297
[6,1,7,3,8,2,4,5] => 1010100 => [1,1,1,1,1,2] => 297
[7,1,8,6,4,2,3,5] => 1011100 => [1,1,3,2] => 171
[4,1,3,5,8,2,6,7] => 1000100 => [1,3,1,2] => 157
[1,8,5,7,4,6,3,2] => 0101011 => [1,1,1,1,1,2] => 297
[1,4,7,6,8,3,5,2] => 0010101 => [2,1,1,1,1,1] => 297
[1,7,2,8,6,5,3,4] => 0101110 => [1,1,1,3,1] => 219
[5,7,1,6,4,2,3,8] => 0101100 => [1,1,1,2,2] => 255
[4,8,2,7,5,1,6,3] => 0101101 => [1,1,1,2,1,1] => 359
[2,8,4,6,7,1,5,3] => 0100101 => [1,1,2,1,1,1] => 359
[3,8,5,1,4,2,6,7] => 0110100 => [1,2,1,1,2] => 241
[1,7,6,2,5,3,8,4] => 0110101 => [1,2,1,1,1,1] => 345
[1,7,5,2,4,3,8,6] => 0110101 => [1,2,1,1,1,1] => 345
[2,8,5,1,4,3,6,7] => 0110100 => [1,2,1,1,2] => 241
[9,7,6,5,4,3,2,8,1] => 11111101 => [6,1,1] => 35
[3,1,4,6,2,5,8,7,9] => 10010010 => [1,2,1,2,1,1] => 1006
[1,3,2,5,7,4,6,9,8] => 01001001 => [1,1,2,1,2,1] => 1006
[7,6,3,5,4,8,2,1] => 1101011 => [2,1,1,1,2] => 207
[1,9,8,5,6,7,4,3,2] => 01100111 => [1,2,2,3] => 436
[1,10,9,8,5,6,7,4,3,2] => 011100111 => [1,3,2,3] => 1109
[1,9,8,5,4,6,7,3,2] => 01110011 => [1,3,2,2] => 500
[1,10,9,5,6,7,8,4,3,2] => 011000111 => [1,2,3,3] => 1224
[1,9,5,4,6,7,8,3,2] => 01100011 => [1,2,3,2] => 533
[1,10,4,5,6,7,8,9,3,2] => 010000011 => [1,1,5,2] => 624
[3,1,2,5,7,6,8,4] => 1000101 => [1,3,1,1,1] => 219
[5,1,7,3,2,6,8,4] => 1011001 => [1,1,2,2,1] => 295
[4,7,2,3,5,1,6,8] => 0100100 => [1,1,2,1,2] => 252
[4,8,2,3,7,5,1,6] => 0100110 => [1,1,2,2,1] => 295
[8,7,2,4,3,5,6,1] => 1101001 => [2,1,1,2,1] => 241
[8,6,2,4,3,5,1,7] => 1101010 => [2,1,1,1,1,1] => 297
[8,1,2,4,7,3,5,6] => 1000100 => [1,3,1,2] => 157
[7,6,2,8,4,5,1,3] => 1101010 => [2,1,1,1,1,1] => 297
[6,8,1,5,7,3,2,4] => 0100110 => [1,1,2,2,1] => 295
[4,1,7,5,6,8,2,3] => 1010010 => [1,1,1,2,1,1] => 359
[3,7,6,2,1,4,5,8] => 0111000 => [1,3,3] => 95
[1,6,8,7,2,5,4,3] => 0011011 => [2,2,1,2] => 180
[1,4,8,7,6,3,5,2] => 0011101 => [2,3,1,1] => 171
[1,2,3,4,7,5,6,9,8] => 00001001 => [4,1,2,1] => 235
[3,1,8,4,5,2,7,6] => 1010101 => [1,1,1,1,1,1,1] => 429
[2,3,7,6,1,8,4,5] => 0011010 => [2,2,1,1,1] => 255
[4,8,5,2,1,3,7,6] => 0111001 => [1,3,2,1] => 185
[5,8,4,2,1,3,7,6] => 0111001 => [1,3,2,1] => 185
[9,8,7,6,5,3,1,4,2] => 11111101 => [6,1,1] => 35
[9,8,7,6,4,1,5,3,2] => 11111011 => [5,1,2] => 83
[9,8,6,1,7,5,4,3,2] => 11101111 => [3,1,4] => 125
[9,7,1,8,6,5,4,3,2] => 11011111 => [2,1,5] => 83
[4,6,7,5,2,3,1,8] => 0011010 => [2,2,1,1,1] => 255
[6,2,5,3,1,8,7,4] => 1011011 => [1,1,2,1,2] => 252
[6,2,5,3,8,7,1,4] => 1010110 => [1,1,1,1,2,1] => 345
[6,4,5,3,8,7,1,2] => 1010110 => [1,1,1,1,2,1] => 345
[1,6,4,5,8,7,3,2] => 0100111 => [1,1,2,3] => 145
[8,4,7,5,2,3,1,6] => 1011010 => [1,1,2,1,1,1] => 359
[8,2,7,4,5,3,1,6] => 1010110 => [1,1,1,1,2,1] => 345
[8,2,4,7,5,3,1,6] => 1001110 => [1,2,3,1] => 185
[8,2,6,7,5,3,1,4] => 1001110 => [1,2,3,1] => 185
[8,4,6,7,5,3,1,2] => 1001110 => [1,2,3,1] => 185
[6,4,5,8,7,3,1,2] => 1001110 => [1,2,3,1] => 185
[6,2,8,7,5,3,1,4] => 1011110 => [1,1,4,1] => 107
[4,6,5,3,8,7,1,2] => 0110110 => [1,2,1,2,1] => 281
[6,7,2,4,5,3,1,8] => 0100110 => [1,1,2,2,1] => 295
[6,8,7,4,5,3,1,2] => 0110110 => [1,2,1,2,1] => 281
[2,8,4,7,5,3,1,6] => 0101110 => [1,1,1,3,1] => 219
[5,8,7,4,6,3,1,2] => 0110110 => [1,2,1,2,1] => 281
[6,5,8,4,7,2,1,3] => 1010110 => [1,1,1,1,2,1] => 345
[4,8,6,2,5,7,1,3] => 0110010 => [1,2,2,1,1] => 295
[8,1,6,2,5,7,3,4] => 1010010 => [1,1,1,2,1,1] => 359
[6,8,1,2,4,7,3,5] => 0100010 => [1,1,3,1,1] => 233
[8,1,5,3,2,7,4,6] => 1011010 => [1,1,2,1,1,1] => 359
[8,3,7,6,2,5,4,1] => 1011011 => [1,1,2,1,2] => 252
[1,2,7,4,5,6,8,9,3] => 00100001 => [2,1,4,1] => 303
[5,3,1,2,6,7,8,9,10,4] => 110000001 => [2,6,1] => 204
[7,3,4,5,1,2,8,9,10,6] => 100100001 => [1,2,1,4,1] => 1315
[8,3,4,5,6,1,2,9,10,7] => 100010001 => [1,3,1,3,1] => 1622
[1,2,3,4,7,8,5,6,9] => 00000100 => [5,1,2] => 83
[1,2,3,4,6,5,8,7,9] => 00001010 => [4,1,1,1,1] => 275
[1,2,3,4,8,9,5,6,7] => 00000100 => [5,1,2] => 83
[4,6,1,3,5,8,2,7] => 0100010 => [1,1,3,1,1] => 233
[4,5,1,3,8,7,2,6] => 0100110 => [1,1,2,2,1] => 295
[6,2,7,1,8,3,4,5] => 1010100 => [1,1,1,1,1,2] => 297
[6,4,5,8,1,7,2,3] => 1001010 => [1,2,1,1,1,1] => 345
[6,2,8,5,1,4,7,3] => 1011001 => [1,1,2,2,1] => 295
[2,4,7,6,1,8,3,5] => 0011010 => [2,2,1,1,1] => 255
[2,1,7,8,9,3,4,5,6] => 10001000 => [1,3,1,3] => 332
[2,6,7,8,9,10,1,3,4,5] => 000001000 => [5,1,3] => 209
[9,7,5,3,8,6,4,2,1] => 11101111 => [3,1,4] => 125
[10,8,9,7,6,5,4,3,2,1] => 101111111 => [1,1,7] => 44
[7,4,5,8,6,3,2,1] => 1001111 => [1,2,4] => 65
[8,6,9,7,4,3,2,1,5] => 10111110 => [1,1,5,1] => 170
[8,6,3,2,1,4,9,7,5] => 11110011 => [4,2,2] => 185
[8,6,4,9,7,5,2,1,3] => 11011110 => [2,1,4,1] => 303
[10,8,6,4,9,7,5,3,2,1] => 111011111 => [3,1,5] => 209
[9,7,5,3,8,6,4,1,2] => 11101110 => [3,1,3,1] => 332
[10,8,6,4,2,1,9,7,5,3] => 111110111 => [5,1,3] => 209
[9,6,7,8,5,4,3,2,1] => 10011111 => [1,2,5] => 98
[10,8,9,6,5,4,3,2,1,7] => 101111110 => [1,1,6,1] => 254
[8,5,6,9,7,4,3,2,1] => 10011111 => [1,2,5] => 98
[9,7,10,8,5,4,3,2,1,6] => 101111110 => [1,1,6,1] => 254
[8,6,3,2,1,9,7,4,5] => 11110110 => [4,1,2,1] => 235
[9,7,8,4,3,2,1,5,6] => 10111100 => [1,1,4,2] => 343
[9,7,4,3,2,1,5,10,8,6] => 111110011 => [5,2,2] => 301
[8,6,3,4,9,7,5,2,1] => 11001111 => [2,2,4] => 185
[8,6,9,7,3,2,1,4,5] => 10111100 => [1,1,4,2] => 343
[9,7,5,10,8,6,3,2,1,4] => 110111110 => [2,1,5,1] => 534
[9,7,5,2,3,8,6,4,1] => 11100111 => [3,2,3] => 226
[8,6,2,1,3,4,9,7,5] => 11100011 => [3,3,2] => 281
[10,8,6,4,9,7,5,2,1,3] => 111011110 => [3,1,4,1] => 709
[8,6,4,9,7,5,1,2,3] => 11011100 => [2,1,3,2] => 452
[10,8,6,4,1,2,9,7,5,3] => 111100111 => [4,2,3] => 431
[2,5,1,6,3,7,4,8,9] => 01010100 => [1,1,1,1,1,1,2] => 1001
[2,6,1,7,3,8,4,9,5] => 01010101 => [1,1,1,1,1,1,1,1] => 1430
[3,4,6,1,7,2,8,5,9] => 00101010 => [2,1,1,1,1,1,1] => 1001
[3,2,6,1,7,4,8,5,9] => 10101010 => [1,1,1,1,1,1,1,1] => 1430
[4,2,5,6,1,7,3,8,9] => 10010100 => [1,2,1,1,1,2] => 821
[3,4,2,6,1,7,5,8,9] => 01010100 => [1,1,1,1,1,1,2] => 1001
[4,2,5,7,1,8,3,9,6] => 10010101 => [1,2,1,1,1,1,1] => 1166
[3,4,2,7,1,8,5,9,6] => 01010101 => [1,1,1,1,1,1,1,1] => 1430
[5,3,6,4,7,1,8,2,9] => 10101010 => [1,1,1,1,1,1,1,1] => 1430
[3,5,2,6,7,1,8,4,9] => 01001010 => [1,1,2,1,1,1,1] => 1220
[4,3,5,2,7,1,8,6,9] => 10101010 => [1,1,1,1,1,1,1,1] => 1430
[4,6,2,7,5,8,1,9,3] => 01010101 => [1,1,1,1,1,1,1,1] => 1430
[4,3,6,2,7,8,1,9,5] => 10100101 => [1,1,1,2,1,1,1] => 1234
[4,5,3,6,2,8,1,9,7] => 01010101 => [1,1,1,1,1,1,1,1] => 1430
[2,5,1,6,3,7,4,8,9,10] => 010101000 => [1,1,1,1,1,1,3] => 2002
[3,4,5,1,6,2,7,8,9,10] => 001010000 => [2,1,1,1,4] => 726
[2,6,1,7,3,8,4,9,5,10] => 010101010 => [1,1,1,1,1,1,1,1,1] => 4862
[3,4,6,1,7,2,8,5,9,10] => 001010100 => [2,1,1,1,1,1,2] => 2431
[3,2,6,1,7,4,8,5,9,10] => 101010100 => [1,1,1,1,1,1,1,2] => 3432
[4,2,5,6,1,7,3,8,9,10] => 100101000 => [1,2,1,1,1,3] => 1672
[3,4,2,6,1,7,5,8,9,10] => 010101000 => [1,1,1,1,1,1,3] => 2002
[3,2,7,1,8,4,9,5,10,6] => 101010101 => [1,1,1,1,1,1,1,1,1] => 4862
[4,5,6,7,1,8,2,9,3,10] => 000101010 => [3,1,1,1,1,1,1] => 2002
[3,4,2,7,1,8,5,9,6,10] => 010101010 => [1,1,1,1,1,1,1,1,1] => 4862
[5,3,6,4,7,1,8,2,9,10] => 101010100 => [1,1,1,1,1,1,1,2] => 3432
[3,5,2,6,7,1,8,4,9,10] => 010010100 => [1,1,2,1,1,1,2] => 2982
[4,3,5,2,7,1,8,6,9,10] => 101010100 => [1,1,1,1,1,1,1,2] => 3432
[5,2,6,7,8,1,9,3,10,4] => 100010101 => [1,3,1,1,1,1,1] => 2717
[5,3,6,4,8,1,9,2,10,7] => 101010101 => [1,1,1,1,1,1,1,1,1] => 4862
[3,5,2,6,8,1,9,4,10,7] => 010010101 => [1,1,2,1,1,1,1,1] => 4202
[4,3,5,2,8,1,9,6,10,7] => 101010101 => [1,1,1,1,1,1,1,1,1] => 4862
[4,6,2,7,5,8,1,9,3,10] => 010101010 => [1,1,1,1,1,1,1,1,1] => 4862
[4,3,6,2,7,8,1,9,5,10] => 101001010 => [1,1,1,2,1,1,1,1] => 4274
[4,5,3,6,2,8,1,9,7,10] => 010101010 => [1,1,1,1,1,1,1,1,1] => 4862
[5,3,7,2,8,6,9,1,10,4] => 101010101 => [1,1,1,1,1,1,1,1,1] => 4862
[4,5,3,7,2,8,9,1,10,6] => 010100101 => [1,1,1,1,2,1,1,1] => 4274
[5,4,6,3,7,2,9,1,10,8] => 101010101 => [1,1,1,1,1,1,1,1,1] => 4862
[7,6,5,9,4,3,2,1,8] => 11011110 => [2,1,4,1] => 303
[7,6,5,4,3,9,2,1,8] => 11110110 => [4,1,2,1] => 235
[7,9,8,5,4,3,2,1,6] => 01111110 => [1,6,1] => 50
[8,7,10,6,5,4,3,2,1,9] => 101111110 => [1,1,6,1] => 254
[7,6,9,8,4,3,2,1,5] => 10111110 => [1,1,5,1] => 170
[8,7,6,10,5,4,3,2,1,9] => 110111110 => [2,1,5,1] => 534
[7,6,5,9,8,3,2,1,4] => 11011110 => [2,1,4,1] => 303
[7,6,5,4,9,8,2,1,3] => 11101110 => [3,1,3,1] => 332
[8,7,6,5,4,10,3,2,1,9] => 111101110 => [4,1,3,1] => 626
[7,6,5,4,3,9,8,1,2] => 11110110 => [4,1,2,1] => 235
[8,7,6,5,4,3,10,2,1,9] => 111110110 => [5,1,2,1] => 375
[9,8,7,6,5,2,3,4,1] => 11111001 => [5,2,1] => 98
[6,1,7,8,9,2,3,4,5] => 10001000 => [1,3,1,3] => 332
[4,5,6,7,1,9,2,3,8] => 00010100 => [3,1,1,1,2] => 407
[3,5,6,7,9,1,2,4,8] => 00001000 => [4,1,3] => 125
[5,1,6,7,8,2,9,3,4] => 10001010 => [1,3,1,1,1,1] => 770
[4,1,6,7,8,9,2,3,5] => 10000100 => [1,4,1,2] => 303
[5,1,6,7,8,9,10,2,3,4] => 100000100 => [1,5,1,2] => 534
[7,4,1,3,6,8,2,5] => 1100010 => [2,3,1,1] => 171
[6,8,1,2,7,3,4,5] => 0100100 => [1,1,2,1,2] => 252
[1,6,2,8,7,3,4,5] => 0101100 => [1,1,1,2,2] => 255
[1,6,8,5,7,4,3,2] => 0010111 => [2,1,1,3] => 117
[3,8,1,2,4,7,6,5] => 0100011 => [1,1,3,2] => 171
[1,4,5,7,3,6,8,2] => 0001001 => [3,1,2,1] => 137
[2,3,8,1,4,6,5,7] => 0010010 => [2,1,2,1,1] => 252
[3,6,2,4,7,5,8,1] => 0100101 => [1,1,2,1,1,1] => 359
[3,1,8,4,6,2,5,7] => 1010100 => [1,1,1,1,1,2] => 297
[4,2,7,3,5,8,1,6] => 1010010 => [1,1,1,2,1,1] => 359
[3,1,8,4,5,6,2,7] => 1010010 => [1,1,1,2,1,1] => 359
[4,2,7,8,6,3,1,5] => 1001110 => [1,2,3,1] => 185
[7,1,4,2,8,6,3,5] => 1010110 => [1,1,1,1,2,1] => 345
[2,3,7,4,8,1,6,5] => 0010101 => [2,1,1,1,1,1] => 297
[1,6,3,5,8,7,4,2] => 0100111 => [1,1,2,3] => 145
[8,4,6,3,5,1,7,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[7,3,2,6,8,4,5,1] => 1100101 => [2,2,1,1,1] => 255
[2,4,5,7,1,6,8,3] => 0001001 => [3,1,2,1] => 137
[8,4,2,6,7,3,5,1] => 1100101 => [2,2,1,1,1] => 255
[4,1,5,7,8,6,2,3] => 1000110 => [1,3,2,1] => 185
[6,1,4,8,2,3,7,5] => 1001001 => [1,2,1,2,1] => 281
[7,6,2,3,5,8,4,1] => 1100011 => [2,3,2] => 126
[2,8,5,7,6,3,4,1] => 0101101 => [1,1,1,2,1,1] => 359
[2,5,7,8,6,4,1,3] => 0001110 => [3,3,1] => 95
[7,4,1,6,2,5,8,3] => 1101001 => [2,1,1,2,1] => 241
[8,7,4,6,2,5,3,1] => 1101011 => [2,1,1,1,2] => 207
[1,7,5,4,6,2,3,8] => 0110100 => [1,2,1,1,2] => 241
[6,2,7,5,3,1,4,8] => 1011100 => [1,1,3,2] => 171
[6,1,7,4,8,5,2,3] => 1010110 => [1,1,1,1,2,1] => 345
[8,2,4,6,3,1,7,5] => 1001101 => [1,2,2,1,1] => 295
[5,6,2,4,8,7,3,1] => 0100111 => [1,1,2,3] => 145
[8,5,6,2,3,7,4,1] => 1010011 => [1,1,1,2,2] => 255
[7,8,1,4,5,6,2,3] => 0100010 => [1,1,3,1,1] => 233
[5,6,7,8,9,1,3,4,2] => 00001001 => [4,1,2,1] => 235
[6,7,8,9,1,3,4,5,2] => 00010001 => [3,1,3,1] => 332
[6,7,8,9,1,4,5,2,3] => 00010010 => [3,1,2,1,1] => 502
[6,7,8,9,1,4,5,3,2] => 00010011 => [3,1,2,2] => 365
[6,7,8,9,1,5,4,3,2] => 00010111 => [3,1,1,3] => 242
[7,8,9,1,4,5,6,2,3] => 00100010 => [2,1,3,1,1] => 609
[7,8,9,1,4,5,6,3,2] => 00100011 => [2,1,3,2] => 452
[7,8,9,1,5,6,3,4,2] => 00100101 => [2,1,2,1,1,1] => 875
[7,8,9,1,5,6,4,3,2] => 00100111 => [2,1,2,3] => 371
[7,8,9,1,6,5,4,3,2] => 00101111 => [2,1,1,4] => 200
[8,9,1,5,6,7,3,4,2] => 01000101 => [1,1,3,1,1,1] => 842
[8,9,1,5,6,7,4,3,2] => 01000111 => [1,1,3,3] => 376
[8,9,1,6,7,4,5,2,3] => 01001010 => [1,1,2,1,1,1,1] => 1220
[8,9,1,6,7,4,5,3,2] => 01001011 => [1,1,2,1,1,2] => 861
[8,9,1,6,7,5,4,3,2] => 01001111 => [1,1,2,4] => 250
[9,1,7,8,5,6,3,4,2] => 10010101 => [1,2,1,1,1,1,1] => 1166
[9,1,7,8,5,6,4,3,2] => 10010111 => [1,2,1,1,3] => 476
[5,6,7,8,9,10,1,3,4,2] => 000001001 => [5,1,2,1] => 375
[5,6,7,8,9,10,1,4,3,2] => 000001011 => [5,1,1,2] => 319
[7,8,9,10,1,4,5,6,2,3] => 000100010 => [3,1,3,1,1] => 1330
[7,8,9,10,1,4,5,6,3,2] => 000100011 => [3,1,3,2] => 998
[7,8,9,10,1,5,6,4,3,2] => 000100111 => [3,1,2,3] => 802
[7,8,9,10,1,6,5,4,3,2] => 000101111 => [3,1,1,4] => 451
[8,9,10,1,4,5,6,7,2,3] => 001000010 => [2,1,4,1,1] => 1304
[8,9,10,1,4,5,6,7,3,2] => 001000011 => [2,1,4,2] => 1001
[8,9,10,1,5,6,7,2,3,4] => 001000100 => [2,1,3,1,2] => 1647
[8,9,10,1,5,6,7,4,3,2] => 001000111 => [2,1,3,3] => 1038
[8,9,10,1,6,7,4,5,2,3] => 001001010 => [2,1,2,1,1,1,1] => 3054
[8,9,10,1,6,7,4,5,3,2] => 001001011 => [2,1,2,1,1,2] => 2179
[8,9,10,1,6,7,5,4,3,2] => 001001111 => [2,1,2,4] => 681
[8,9,10,1,7,6,5,4,3,2] => 001011111 => [2,1,1,5] => 319
[9,10,1,6,7,8,3,4,5,2] => 010001001 => [1,1,3,1,2,1] => 2548
[9,10,1,6,7,8,4,5,2,3] => 010001010 => [1,1,3,1,1,1,1] => 3014
[9,10,1,6,7,8,4,5,3,2] => 010001011 => [1,1,3,1,1,2] => 2172
[9,10,1,6,7,8,5,4,3,2] => 010001111 => [1,1,3,4] => 721
[9,10,1,7,8,5,6,3,4,2] => 010010101 => [1,1,2,1,1,1,1,1] => 4202
[9,10,1,7,8,5,6,4,3,2] => 010010111 => [1,1,2,1,1,3] => 1762
[9,10,1,7,8,6,5,4,3,2] => 010011111 => [1,1,2,5] => 399
[10,1,8,9,6,7,4,5,3,2] => 100101011 => [1,2,1,1,1,1,2] => 2838
[10,1,8,9,6,7,5,4,3,2] => 100101111 => [1,2,1,1,4] => 851
[10,1,8,9,7,6,5,4,3,2] => 100111111 => [1,2,6] => 140
[7,4,8,3,5,6,2,1] => 1010011 => [1,1,1,2,2] => 255
[2,6,1,4,7,5,8,3] => 0100101 => [1,1,2,1,1,1] => 359
[3,1,5,7,2,6,8,4] => 1001001 => [1,2,1,2,1] => 281
[3,1,7,5,2,6,8,4] => 1011001 => [1,1,2,2,1] => 295
[3,2,7,5,1,6,8,4] => 1011001 => [1,1,2,2,1] => 295
[5,2,7,3,1,6,8,4] => 1011001 => [1,1,2,2,1] => 295
[6,7,2,1,3,4,8,5] => 0110001 => [1,2,3,1] => 185
[4,6,3,1,2,7,8,5] => 0110001 => [1,2,3,1] => 185
[2,3,4,5,7,9,6,8,1] => 00000101 => [5,1,1,1] => 110
[2,3,4,6,9,5,7,8,1] => 00001001 => [4,1,2,1] => 235
[2,3,5,6,8,4,7,1] => 0000101 => [4,1,1,1] => 75
[2,3,5,9,4,6,7,8,1] => 00010001 => [3,1,3,1] => 332
[2,4,5,8,3,6,7,1] => 0001001 => [3,1,2,1] => 137
[2,4,9,3,5,6,7,8,1] => 00100001 => [2,1,4,1] => 303
[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] => 170
[4,5,8,7,6,3,1,2] => 0011110 => [2,4,1] => 81
[6,5,9,8,7,4,3,1,2] => 10111110 => [1,1,5,1] => 170
[8,7,4,6,5,3,1,2] => 1101110 => [2,1,3,1] => 157
[9,5,8,7,6,4,3,1,2] => 10111110 => [1,1,5,1] => 170
[6,10,9,8,7,5,4,3,1,2] => 011111110 => [1,7,1] => 65
[8,1,4,3,6,2,5,7] => 1010100 => [1,1,1,1,1,2] => 297
[1,6,3,7,8,4,2,5] => 0100110 => [1,1,2,2,1] => 295
[5,3,8,4,6,7,2,1] => 1010011 => [1,1,1,2,2] => 255
[4,3,5,8,6,7,2,1] => 1001011 => [1,2,1,1,2] => 241
[3,2,7,8,5,6,4,1] => 1001011 => [1,2,1,1,2] => 241
[4,7,3,8,5,6,2,1] => 0101011 => [1,1,1,1,1,2] => 297
[7,1,4,8,5,6,3,2] => 1001011 => [1,2,1,1,2] => 241
[4,3,8,7,2,5,6,1] => 1011001 => [1,1,2,2,1] => 295
[1,7,3,8,6,4,5,2] => 0101101 => [1,1,1,2,1,1] => 359
[7,4,2,8,5,6,3,1] => 1101011 => [2,1,1,1,2] => 207
[3,4,8,2,6,7,5,1] => 0010011 => [2,1,2,2] => 180
[1,6,3,8,7,4,5,2] => 0101101 => [1,1,1,2,1,1] => 359
[1,4,5,8,7,6,2,3] => 0001110 => [3,3,1] => 95
[5,2,1,3,8,4,6,7] => 1100100 => [2,2,1,2] => 180
[1,4,3,5,8,2,6,7] => 0100100 => [1,1,2,1,2] => 252
[2,1,3,8,6,4,5,7] => 1001100 => [1,2,2,2] => 211
[1,3,6,4,5,8,2,7] => 0010010 => [2,1,2,1,1] => 252
[6,1,4,3,5,8,2,7] => 1010010 => [1,1,1,2,1,1] => 359
[6,5,1,3,8,2,4,7] => 1100100 => [2,2,1,2] => 180
[1,4,3,8,6,2,5,7] => 0101100 => [1,1,1,2,2] => 255
[4,1,3,8,6,2,5,7] => 1001100 => [1,2,2,2] => 211
[7,1,5,4,6,3,8,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[8,9,7,6,5,4,3,2,10,1] => 011111101 => [1,6,1,1] => 254
[7,6,8,5,4,3,2,9,1] => 10111101 => [1,1,4,1,1] => 450
[6,8,7,5,4,3,2,9,1] => 01111101 => [1,5,1,1] => 170
[6,4,7,8,3,5,1,2] => 1001010 => [1,2,1,1,1,1] => 345
[3,5,6,7,1,8,4,2] => 0001011 => [3,1,1,2] => 117
[2,7,8,3,6,1,5,4] => 0010101 => [2,1,1,1,1,1] => 297
[1,7,8,3,6,2,5,4] => 0010101 => [2,1,1,1,1,1] => 297
[7,4,3,5,8,1,6,2] => 1100101 => [2,2,1,1,1] => 255
[7,3,6,4,1,8,5,2] => 1011011 => [1,1,2,1,2] => 252
[7,8,4,3,6,1,5,2] => 0110101 => [1,2,1,1,1,1] => 345
[7,1,6,4,3,8,5,2] => 1011011 => [1,1,2,1,2] => 252
[8,7,3,4,1,5,2,6] => 1101010 => [2,1,1,1,1,1] => 297
[7,2,6,4,3,8,5,1] => 1011011 => [1,1,2,1,2] => 252
[1,7,5,4,3,8,2,6] => 0111010 => [1,3,1,1,1] => 219
[4,5,8,1,7,3,2,6] => 0010110 => [2,1,1,2,1] => 241
[4,6,7,1,3,8,2,5] => 0010010 => [2,1,2,1,1] => 252
[2,3,4,5,6,1,8,9,7] => 00001001 => [4,1,2,1] => 235
[2,3,4,5,1,7,8,9,6] => 00010001 => [3,1,3,1] => 332
[2,6,3,1,4,7,8,5] => 0110001 => [1,2,3,1] => 185
[2,9,3,4,5,6,1,7,8] => 01000100 => [1,1,3,1,2] => 609
[2,3,4,5,6,7,1,9,10,8] => 000001001 => [5,1,2,1] => 375
[2,7,3,4,1,8,5,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[2,8,3,4,5,1,6,9,7] => 01001001 => [1,1,2,1,2,1] => 1006
[2,7,3,4,1,5,8,9,6] => 01010001 => [1,1,1,1,3,1] => 770
[2,3,4,5,1,7,8,9,10,6] => 000100001 => [3,1,4,1] => 709
[2,6,3,1,4,7,8,9,5] => 01100001 => [1,2,4,1] => 358
[2,3,1,5,6,7,8,9,10,4] => 010000001 => [1,1,6,1] => 254
[7,5,8,2,4,3,1,6] => 1010110 => [1,1,1,1,2,1] => 345
[2,3,7,8,1,4,6,5] => 0001001 => [3,1,2,1] => 137
[8,2,3,5,4,1,7,6] => 1001101 => [1,2,2,1,1] => 295
[7,1,3,8,2,4,6,5] => 1001001 => [1,2,1,2,1] => 281
[7,2,3,6,4,1,8,5] => 1001101 => [1,2,2,1,1] => 295
[6,5,2,4,1,8,3,7] => 1101010 => [2,1,1,1,1,1] => 297
[5,7,2,4,1,3,8,6] => 0101001 => [1,1,1,1,2,1] => 345
[6,2,5,4,1,8,3,7] => 1011010 => [1,1,2,1,1,1] => 359
[4,2,5,3,7,6,9,8,1] => 10101011 => [1,1,1,1,1,1,2] => 1001
[4,2,6,3,7,5,9,8,1] => 10101011 => [1,1,1,1,1,1,2] => 1001
[4,2,6,3,8,5,9,7,1] => 10101011 => [1,1,1,1,1,1,2] => 1001
[4,2,6,3,8,5,1,7,9] => 10101100 => [1,1,1,1,2,2] => 875
[4,2,6,3,5,8,1,7] => 1010010 => [1,1,1,2,1,1] => 359
[4,2,6,3,8,5,7,1,9] => 10101010 => [1,1,1,1,1,1,1,1] => 1430
[4,2,6,3,5,8,7,1,9] => 10100110 => [1,1,1,2,2,1] => 1026
[4,2,3,6,5,8,7,1,9] => 10010110 => [1,2,1,1,2,1] => 958
[4,2,5,3,7,6,9,8,1,10] => 101010110 => [1,1,1,1,1,1,2,1] => 4004
[5,2,6,3,7,4,9,8,1] => 10101011 => [1,1,1,1,1,1,2] => 1001
[4,2,6,3,7,5,9,8,1,10] => 101010110 => [1,1,1,1,1,1,2,1] => 4004
[4,2,7,3,8,5,9,6,1] => 10101011 => [1,1,1,1,1,1,2] => 1001
[4,2,6,3,8,5,9,7,1,10] => 101010110 => [1,1,1,1,1,1,2,1] => 4004
[4,2,6,3,9,5,1,7,8] => 10101100 => [1,1,1,1,2,2] => 875
[4,2,6,3,8,5,10,7,1,9] => 101010110 => [1,1,1,1,1,1,2,1] => 4004
[4,2,6,3,8,5,7,9,1] => 10101001 => [1,1,1,1,1,2,1] => 1166
[4,2,6,3,8,5,10,7,9,1] => 101010101 => [1,1,1,1,1,1,1,1,1] => 4862
[4,2,6,3,5,8,1,7,9] => 10100100 => [1,1,1,2,1,2] => 875
[4,2,6,3,8,5,7,10,9,1] => 101010011 => [1,1,1,1,1,2,2] => 3036
[4,2,3,6,8,5,7,1,9] => 10001010 => [1,3,1,1,1,1] => 770
[4,2,6,3,5,8,7,10,9,1] => 101001011 => [1,1,1,2,1,1,2] => 3040
[2,4,6,3,5,8,7,1,9] => 00100110 => [2,1,2,2,1] => 731
[4,2,3,6,5,8,7,10,9,1] => 100101011 => [1,2,1,1,1,1,2] => 2838
[7,4,2,6,8,5,3,1] => 1100111 => [2,2,3] => 105
[8,5,2,4,6,3,1,7] => 1100110 => [2,2,2,1] => 211
[7,4,1,2,8,5,6,3] => 1100101 => [2,2,1,1,1] => 255
[6,4,1,8,5,2,3,7] => 1101100 => [2,1,2,2] => 180
[8,4,1,6,3,5,2,7] => 1101010 => [2,1,1,1,1,1] => 297
[7,3,4,1,6,8,5,2] => 1010011 => [1,1,1,2,2] => 255
[8,6,2,3,5,7,4,1] => 1100011 => [2,3,2] => 126
[8,6,2,5,7,3,4,1] => 1100101 => [2,2,1,1,1] => 255
[6,3,4,8,5,1,2,7] => 1001100 => [1,2,2,2] => 211
[8,5,1,2,7,4,6,3] => 1100101 => [2,2,1,1,1] => 255
[7,2,6,8,3,4,5,1] => 1001001 => [1,2,1,2,1] => 281
[1,6,7,5,4,8,2,3] => 0011010 => [2,2,1,1,1] => 255
[1,8,5,4,2,6,3,7] => 0111010 => [1,3,1,1,1] => 219
[3,4,5,6,9,2,1,8,7] => 00001101 => [4,2,1,1] => 250
[3,4,5,8,2,9,1,7,6] => 00010101 => [3,1,1,1,1,1] => 572
[3,4,7,2,8,9,1,5,6] => 00100100 => [2,1,2,1,2] => 623
[3,6,2,7,8,9,1,5,4] => 01000101 => [1,1,3,1,1,1] => 842
[5,2,6,7,8,9,1,4,3] => 10000101 => [1,4,1,1,1] => 410
[3,4,5,6,9,1,7,8,2] => 00001001 => [4,1,2,1] => 235
[3,4,5,6,7,10,2,1,9,8] => 000001101 => [5,2,1,1] => 399
[3,4,5,8,9,6,1,7,2] => 00001101 => [4,2,1,1] => 250
[3,4,5,6,9,2,10,1,8,7] => 000010101 => [4,1,1,1,1,1] => 1001
[3,4,7,8,5,9,1,2,6] => 00010100 => [3,1,1,1,2] => 407
[3,4,5,9,2,6,1,8,7] => 00010101 => [3,1,1,1,1,1] => 572
[3,4,5,8,2,9,10,1,6,7] => 000100100 => [3,1,2,1,2] => 1304
[3,6,7,4,8,9,1,5,2] => 00100101 => [2,1,2,1,1,1] => 875
[3,4,8,2,5,9,1,7,6] => 00100101 => [2,1,2,1,1,1] => 875
[3,4,7,2,8,9,10,1,6,5] => 001000101 => [2,1,3,1,1,1] => 2256
[5,6,3,7,8,9,1,4,2] => 01000101 => [1,1,3,1,1,1] => 842
[3,7,2,4,8,9,1,5,6] => 01000100 => [1,1,3,1,2] => 609
[3,6,2,7,8,9,10,1,5,4] => 010000101 => [1,1,4,1,1,1] => 1754
[6,2,3,7,8,9,1,5,4] => 10000101 => [1,4,1,1,1] => 410
[5,2,6,7,8,9,10,1,3,4] => 100000100 => [1,5,1,2] => 534
[8,9,7,6,5,4,1,3,2] => 01111101 => [1,5,1,1] => 170
[8,7,9,6,5,4,1,3,2] => 10111101 => [1,1,4,1,1] => 450
[9,7,8,6,5,4,1,3,2] => 10111101 => [1,1,4,1,1] => 450
[9,10,8,7,6,5,4,1,3,2] => 011111101 => [1,6,1,1] => 254
[10,8,7,6,5,4,3,2,9,1] => 111111101 => [7,1,1] => 44
[5,7,3,6,2,1,4,8] => 0101100 => [1,1,1,2,2] => 255
[1,3,2,4,5,6,9,7,8] => 01000010 => [1,1,4,1,1] => 450
[2,3,1,4,5,6,9,7,8] => 01000010 => [1,1,4,1,1] => 450
[5,8,6,1,2,4,3,7] => 0110010 => [1,2,2,1,1] => 295
[4,1,5,7,3,6,8,2] => 1001001 => [1,2,1,2,1] => 281
[1,4,5,7,6,8,2,3] => 0001010 => [3,1,1,1,1] => 165
[5,7,2,1,6,8,4,3] => 0110011 => [1,2,2,2] => 211
[2,6,3,1,7,8,5,4] => 0110011 => [1,2,2,2] => 211
[6,2,5,7,4,1,8,3] => 1001101 => [1,2,2,1,1] => 295
[3,6,1,8,7,4,5,2] => 0101101 => [1,1,1,2,1,1] => 359
[4,3,9,5,6,7,8,2,1] => 10100011 => [1,1,1,3,2] => 623
[2,9,4,5,6,7,8,1,10,3] => 010000101 => [1,1,4,1,1,1] => 1754
[3,2,8,5,6,7,1,9,4] => 10100101 => [1,1,1,2,1,1,1] => 1234
[7,8,4,5,6,1,3,9,2] => 01001001 => [1,1,2,1,2,1] => 1006
[3,4,1,9,6,7,8,2,5] => 01010010 => [1,1,1,1,2,1,1] => 1220
[4,8,9,5,6,7,2,1,3] => 00100110 => [2,1,2,2,1] => 731
[4,3,10,5,6,7,8,9,2,1] => 101000011 => [1,1,1,4,2] => 1344
[3,2,9,5,6,7,8,1,10,4] => 101000101 => [1,1,1,3,1,1,1] => 3098
[8,9,4,5,6,7,1,3,10,2] => 010001001 => [1,1,3,1,2,1] => 2548
[4,2,3,8,6,7,1,9,5] => 10010101 => [1,2,1,1,1,1,1] => 1166
[6,8,4,5,1,3,7,9,2] => 01010001 => [1,1,1,1,3,1] => 770
[4,7,1,3,5,6,8,2] => 0100001 => [1,1,4,1] => 107
[4,3,5,7,8,2,6,1] => 1000101 => [1,3,1,1,1] => 219
[3,5,1,4,9,7,8,2,6] => 01001010 => [1,1,2,1,1,1,1] => 1220
[8,3,4,9,6,7,2,5,1] => 10010101 => [1,2,1,1,1,1,1] => 1166
[3,4,1,10,6,7,8,9,2,5] => 010100010 => [1,1,1,1,3,1,1] => 3014
[4,7,9,5,6,2,1,8,3] => 00101101 => [2,1,1,2,1,1] => 861
[4,9,10,5,6,7,8,2,1,3] => 001000110 => [2,1,3,2,1] => 1942
[5,3,2,7,6,4,1,8] => 1101110 => [2,1,3,1] => 157
[5,3,7,4,6,2,1,8] => 1010110 => [1,1,1,1,2,1] => 345
[5,7,3,2,1,8,6,4] => 0111011 => [1,3,1,2] => 157
[5,7,6,3,2,1,8,4] => 0111101 => [1,4,1,1] => 107
[3,2,7,5,4,1,8,6] => 1011101 => [1,1,3,1,1] => 233
[1,7,3,5,4,2,6,8] => 0101100 => [1,1,1,2,2] => 255
[5,3,7,4,1,8,6,2] => 1011011 => [1,1,2,1,2] => 252
[7,3,5,4,1,6,8,2] => 1011001 => [1,1,2,2,1] => 295
[7,5,1,6,8,3,2,4] => 1100110 => [2,2,2,1] => 211
[5,3,1,7,6,8,2,4] => 1101010 => [2,1,1,1,1,1] => 297
[7,1,5,3,2,4,8,6] => 1011001 => [1,1,2,2,1] => 295
[8,1,2,5,3,4,6,7,9] => 10010000 => [1,2,1,4] => 235
[7,1,5,2,4,3,6,8] => 1010100 => [1,1,1,1,1,2] => 297
[1,9,2,3,6,4,5,7,8] => 01001000 => [1,1,2,1,3] => 502
[9,1,2,3,6,4,5,7,8,10] => 100010000 => [1,3,1,4] => 626
[8,1,2,6,4,3,5,7,9] => 10011000 => [1,2,2,3] => 436
[8,1,2,6,3,5,4,7,9] => 10010100 => [1,2,1,1,1,2] => 821
[1,9,2,3,7,5,4,6,8] => 01001100 => [1,1,2,2,2] => 765
[1,9,2,3,7,4,6,5,8] => 01001010 => [1,1,2,1,1,1,1] => 1220
[6,8,7,3,2,1,5,4] => 0111101 => [1,4,1,1] => 107
[3,6,8,7,2,4,1,5] => 0011010 => [2,2,1,1,1] => 255
[5,7,3,6,2,1,8,4] => 0101101 => [1,1,1,2,1,1] => 359
[3,6,5,2,4,8,1,7] => 0110010 => [1,2,2,1,1] => 295
[5,6,7,8,9,3,2,1,4] => 00001110 => [4,3,1] => 175
[6,7,8,9,3,4,1,2,5] => 00010100 => [3,1,1,1,2] => 407
[6,7,8,9,3,4,2,1,5] => 00010110 => [3,1,1,2,1] => 476
[7,8,9,3,4,5,1,2,6] => 00100100 => [2,1,2,1,2] => 623
[7,8,9,3,4,5,2,1,6] => 00100110 => [2,1,2,2,1] => 731
[7,8,9,4,5,2,3,1,6] => 00101010 => [2,1,1,1,1,1,1] => 1001
[7,8,9,4,5,3,2,1,6] => 00101110 => [2,1,1,3,1] => 551
[8,9,4,5,6,2,3,1,7] => 01001010 => [1,1,2,1,1,1,1] => 1220
[8,9,4,5,6,3,2,1,7] => 01001110 => [1,1,2,3,1] => 685
[8,9,5,6,3,4,1,2,7] => 01010100 => [1,1,1,1,1,1,2] => 1001
[8,9,5,6,3,4,2,1,7] => 01010110 => [1,1,1,1,1,2,1] => 1166
[8,9,5,6,4,3,2,1,7] => 01011110 => [1,1,1,4,1] => 410
[9,6,7,4,5,3,2,1,8] => 10101110 => [1,1,1,1,3,1] => 770
[5,6,7,8,9,10,3,2,1,4] => 000001110 => [5,3,1] => 294
[7,8,9,10,3,4,5,1,2,6] => 000100100 => [3,1,2,1,2] => 1304
[7,8,9,10,3,4,5,2,1,6] => 000100110 => [3,1,2,2,1] => 1532
[7,8,9,10,4,5,2,3,1,6] => 000101010 => [3,1,1,1,1,1,1] => 2002
[7,8,9,10,4,5,3,2,1,6] => 000101110 => [3,1,1,3,1] => 1177
[7,8,9,10,5,4,3,2,1,6] => 000111110 => [3,5,1] => 364
[8,9,10,3,4,5,6,1,2,7] => 001000100 => [2,1,3,1,2] => 1647
[8,9,10,3,4,5,6,2,1,7] => 001000110 => [2,1,3,2,1] => 1942
[8,9,10,4,5,6,1,2,3,7] => 001001000 => [2,1,2,1,3] => 1304
[8,9,10,4,5,6,3,2,1,7] => 001001110 => [2,1,2,3,1] => 1794
[8,9,10,5,6,3,4,1,2,7] => 001010100 => [2,1,1,1,1,1,2] => 2431
[8,9,10,5,6,3,4,2,1,7] => 001010110 => [2,1,1,1,1,2,1] => 2838
[8,9,10,5,6,4,3,2,1,7] => 001011110 => [2,1,1,4,1] => 1119
[8,9,10,6,5,4,3,2,1,7] => 001111110 => [2,6,1] => 204
[9,10,5,6,7,2,3,4,1,8] => 010010010 => [1,1,2,1,2,1,1] => 3667
[9,10,5,6,7,3,4,1,2,8] => 010010100 => [1,1,2,1,1,1,2] => 2982
[9,10,5,6,7,3,4,2,1,8] => 010010110 => [1,1,2,1,1,2,1] => 3484
[9,10,5,6,7,4,3,2,1,8] => 010011110 => [1,1,2,4,1] => 1399
[9,10,6,7,4,5,3,2,1,8] => 010101110 => [1,1,1,1,1,3,1] => 2717
[9,10,6,7,5,4,3,2,1,8] => 010111110 => [1,1,1,5,1] => 704
[9,10,7,6,5,4,3,2,1,8] => 011111110 => [1,7,1] => 65
[10,7,8,5,6,3,4,2,1,9] => 101010110 => [1,1,1,1,1,1,2,1] => 4004
[10,7,8,5,6,4,3,2,1,9] => 101011110 => [1,1,1,1,4,1] => 1529
[10,7,8,6,5,4,3,2,1,9] => 101111110 => [1,1,6,1] => 254
[1,8,3,6,2,4,7,5] => 0101001 => [1,1,1,1,2,1] => 345
[1,8,7,5,6,4,2,3] => 0110110 => [1,2,1,2,1] => 281
[6,8,2,1,5,4,3,7] => 0110110 => [1,2,1,2,1] => 281
[10,9,1,2,3,7,8,4,5,6] => 110000100 => [2,4,1,2] => 1001
[10,9,1,2,8,7,3,4,5,6] => 110011000 => [2,2,2,3] => 1198
[9,8,1,10,7,2,3,4,5,6] => 110110000 => [2,1,2,4] => 681
[8,6,1,2,3,4,5,9,10,7] => 110000001 => [2,6,1] => 204
[5,7,1,2,3,4,8,9,10,6] => 010000001 => [1,1,6,1] => 254
[10,4,1,2,3,7,8,9,5,6] => 110000010 => [2,5,1,1] => 624
[10,3,1,2,9,7,8,4,5,6] => 110010100 => [2,2,1,1,1,2] => 2161
[2,9,1,10,8,7,3,4,5,6] => 010111000 => [1,1,1,3,3] => 1414
[6,3,2,1,5,8,4,7] => 1110010 => [3,2,1,1] => 145
[4,3,5,6,2,8,1,7] => 1001010 => [1,2,1,1,1,1] => 345
[6,3,5,2,7,8,4,1] => 1010011 => [1,1,1,2,2] => 255
[4,5,3,1,6,8,2,7] => 0110010 => [1,2,2,1,1] => 295
[3,4,6,7,5,1,8,2] => 0001101 => [3,2,1,1] => 145
[7,4,1,2,5,6,8,3] => 1100001 => [2,4,1] => 81
[4,8,2,6,7,1,5,3] => 0100101 => [1,1,2,1,1,1] => 359
[6,5,8,3,7,1,4,2] => 1010101 => [1,1,1,1,1,1,1] => 429
[4,2,6,1,3,5,8,7,9] => 10100010 => [1,1,1,3,1,1] => 842
[4,2,6,1,8,3,5,7,9] => 10101000 => [1,1,1,1,1,3] => 572
[4,2,6,1,3,5,8,7,10,9] => 101000101 => [1,1,1,3,1,1,1] => 3098
[4,2,8,1,3,6,5,7,9] => 10100100 => [1,1,1,2,1,2] => 875
[4,2,6,1,8,3,5,7,10,9] => 101010001 => [1,1,1,1,1,3,1] => 2717
[4,2,6,1,9,3,5,8,7] => 10101001 => [1,1,1,1,1,2,1] => 1166
[4,2,6,1,8,3,10,5,7,9] => 101010100 => [1,1,1,1,1,1,1,2] => 3432
[9,7,1,8,2,3,4,5,6] => 11010000 => [2,1,1,4] => 200
[9,6,1,7,2,8,3,4,5] => 11010100 => [2,1,1,1,1,2] => 704
[8,6,1,9,7,2,3,4,5] => 11011000 => [2,1,2,3] => 371
[9,8,6,1,7,2,3,4,5] => 11101000 => [3,1,1,3] => 242
[8,5,1,9,6,2,7,3,4] => 11011010 => [2,1,2,1,1,1] => 875
[9,8,5,1,6,2,7,3,4] => 11101010 => [3,1,1,1,1,1] => 572
[9,7,5,1,8,6,2,3,4] => 11101100 => [3,1,2,2] => 365
[9,8,7,5,1,6,2,3,4] => 11110100 => [4,1,1,2] => 200
[9,7,4,1,8,5,2,6,3] => 11101101 => [3,1,2,1,1] => 502
[9,8,7,4,1,5,2,6,3] => 11110101 => [4,1,1,1,1] => 275
[8,6,4,1,9,7,5,2,3] => 11101110 => [3,1,3,1] => 332
[9,8,6,4,1,7,5,2,3] => 11110110 => [4,1,2,1] => 235
[9,8,7,6,4,1,5,2,3] => 11111010 => [5,1,1,1] => 110
[9,8,7,5,3,1,6,4,2] => 11111011 => [5,1,2] => 83
[10,7,1,8,2,9,3,4,5,6] => 110101000 => [2,1,1,1,1,3] => 1430
[9,7,1,10,8,2,3,4,5,6] => 110110000 => [2,1,2,4] => 681
[10,9,7,1,8,2,3,4,5,6] => 111010000 => [3,1,1,4] => 451
[10,6,1,7,2,8,3,9,4,5] => 110101010 => [2,1,1,1,1,1,1,1] => 3432
[9,6,1,10,7,2,8,3,4,5] => 110110100 => [2,1,2,1,1,2] => 2179
[10,9,6,1,7,2,8,3,4,5] => 111010100 => [3,1,1,1,1,2] => 1430
[10,8,6,1,9,7,2,3,4,5] => 111011000 => [3,1,2,3] => 802
[10,9,8,6,1,7,2,3,4,5] => 111101000 => [4,1,1,3] => 451
[9,5,1,10,6,2,7,3,8,4] => 110110101 => [2,1,2,1,1,1,1] => 3054
[10,9,5,1,6,2,7,3,8,4] => 111010101 => [3,1,1,1,1,1,1] => 2002
[8,5,1,9,6,2,10,7,3,4] => 110110110 => [2,1,2,1,2,1] => 2550
[10,8,5,1,9,6,2,7,3,4] => 111011010 => [3,1,2,1,1,1] => 1806
[10,9,8,5,1,6,2,7,3,4] => 111101010 => [4,1,1,1,1,1] => 1001
[9,7,5,1,10,8,6,2,3,4] => 111011100 => [3,1,3,2] => 998
[10,9,7,5,1,8,6,2,3,4] => 111101100 => [4,1,2,2] => 666
[10,9,8,7,5,1,6,2,3,4] => 111110100 => [5,1,1,2] => 319
[9,7,4,1,10,8,5,2,6,3] => 111011101 => [3,1,3,1,1] => 1330
[10,9,7,4,1,8,5,2,6,3] => 111101101 => [4,1,2,1,1] => 901
[10,9,8,7,4,1,5,2,6,3] => 111110101 => [5,1,1,1,1] => 429
[10,8,6,4,1,9,7,5,2,3] => 111101110 => [4,1,3,1] => 626
[10,9,8,6,4,1,7,5,2,3] => 111110110 => [5,1,2,1] => 375
[10,9,8,7,6,4,1,5,2,3] => 111111010 => [6,1,1,1] => 154
[10,9,7,5,3,1,8,6,4,2] => 111110111 => [5,1,3] => 209
[10,9,8,7,5,3,1,6,4,2] => 111111011 => [6,1,2] => 119
[10,9,8,7,6,5,3,1,4,2] => 111111101 => [7,1,1] => 44
[9,1,2,8,4,3,5,6,7] => 10011000 => [1,2,2,3] => 436
[8,1,9,3,2,4,6,5,7] => 10110010 => [1,1,2,2,1,1] => 1060
[9,8,2,1,3,5,6,4,7] => 11100010 => [3,3,1,1] => 376
[8,1,9,2,4,5,6,3,7] => 10100010 => [1,1,1,3,1,1] => 842
[2,3,4,10,6,7,8,9,1,5] => 000100010 => [3,1,3,1,1] => 1330
[2,3,10,5,6,7,8,9,1,4] => 001000010 => [2,1,4,1,1] => 1304
[2,3,4,5,6,10,1,9,7,8] => 000001010 => [5,1,1,1,1] => 429
[2,3,4,5,10,1,8,9,6,7] => 000010010 => [4,1,2,1,1] => 901
[2,3,10,1,6,7,8,9,4,5] => 001000010 => [2,1,4,1,1] => 1304
[1,5,2,4,7,6,8,3] => 0100101 => [1,1,2,1,1,1] => 359
[1,4,3,6,5,8,7,9,2] => 01010101 => [1,1,1,1,1,1,1,1] => 1430
[1,4,2,6,5,8,7,9,3] => 01010101 => [1,1,1,1,1,1,1,1] => 1430
[1,5,2,6,4,8,7,9,3] => 01010101 => [1,1,1,1,1,1,1,1] => 1430
[1,5,2,7,4,8,6,9,3] => 01010101 => [1,1,1,1,1,1,1,1] => 1430
[1,5,2,7,4,9,6,8,3] => 01010101 => [1,1,1,1,1,1,1,1] => 1430
[1,5,2,7,4,6,9,8,3] => 01010011 => [1,1,1,1,2,2] => 875
[1,5,2,4,7,6,9,8,3] => 01001011 => [1,1,2,1,1,2] => 861
[1,2,5,4,7,6,9,8,3] => 00101011 => [2,1,1,1,1,2] => 704
[1,4,2,6,5,8,7,10,9,3] => 010101011 => [1,1,1,1,1,1,1,2] => 3432
[1,5,2,6,3,8,7,9,4] => 01010101 => [1,1,1,1,1,1,1,1] => 1430
[1,5,2,6,4,8,7,10,9,3] => 010101011 => [1,1,1,1,1,1,1,2] => 3432
[1,6,2,7,4,8,5,9,3] => 01010101 => [1,1,1,1,1,1,1,1] => 1430
[1,5,2,7,4,8,6,10,9,3] => 010101011 => [1,1,1,1,1,1,1,2] => 3432
[1,5,2,8,4,9,6,7,3] => 01010101 => [1,1,1,1,1,1,1,1] => 1430
[1,5,2,7,4,9,6,10,8,3] => 010101011 => [1,1,1,1,1,1,1,2] => 3432
[1,5,2,7,4,6,8,9,3] => 01010001 => [1,1,1,1,3,1] => 770
[1,5,2,7,4,9,6,8,10,3] => 010101001 => [1,1,1,1,1,1,2,1] => 4004
[1,5,2,4,7,9,6,8,3] => 01000101 => [1,1,3,1,1,1] => 842
[1,5,2,7,4,6,9,8,10,3] => 010100101 => [1,1,1,1,2,1,1,1] => 4274
[1,2,5,7,4,6,9,8,3] => 00010011 => [3,1,2,2] => 365
[1,5,2,4,7,6,9,8,10,3] => 010010101 => [1,1,2,1,1,1,1,1] => 4202
[1,2,5,4,7,6,9,8,10,3] => 001010101 => [2,1,1,1,1,1,1,1] => 3432
[2,5,4,7,1,8,3,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,5,4,7,3,8,2,6] => 0101010 => [1,1,1,1,1,1,1] => 429
[1,2,6,7,3,5,4,8] => 0001010 => [3,1,1,1,1] => 165
[8,1,2,4,6,3,5,7] => 1000100 => [1,3,1,2] => 157
[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] => 196
[5,6,7,8,10,9,4,3,2,1] => 000011111 => [4,5] => 126
[6,5,7,8,9,4,3,2,1] => 10001111 => [1,3,4] => 175
[6,5,7,8,9,10,4,3,2,1] => 100001111 => [1,4,4] => 406
[4,5,6,7,8,10,9,3,2,1] => 000001111 => [5,4] => 126
[4,5,6,7,3,9,8,2,1] => 00010111 => [3,1,1,3] => 242
[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] => 551
[4,3,6,7,8,9,5,2,1] => 10000111 => [1,4,3] => 196
[5,4,6,7,8,9,10,3,2,1] => 100000111 => [1,5,3] => 364
[3,4,5,6,8,9,7,1,2] => 00000110 => [5,2,1] => 98
[3,4,5,7,8,9,6,1,2] => 00000110 => [5,2,1] => 98
[3,5,6,7,8,9,4,1,2] => 00000110 => [5,2,1] => 98
[4,5,6,7,8,9,3,1,2] => 00000110 => [5,2,1] => 98
[3,4,5,6,7,9,10,8,1,2] => 000000110 => [6,2,1] => 140
[3,4,5,8,1,9,7,6,2] => 00010111 => [3,1,1,3] => 242
[3,4,5,6,8,9,10,7,1,2] => 000000110 => [6,2,1] => 140
[3,4,7,1,8,9,6,5,2] => 00100111 => [2,1,2,3] => 371
[3,6,1,7,8,9,4,5,2] => 01000101 => [1,1,3,1,1,1] => 842
[3,4,6,7,8,9,10,5,1,2] => 000000110 => [6,2,1] => 140
[5,1,6,7,8,9,4,3,2] => 10000111 => [1,4,3] => 196
[3,5,6,7,8,9,10,4,1,2] => 000000110 => [6,2,1] => 140
[1,5,6,7,8,9,3,2,4] => 00000110 => [5,2,1] => 98
[3,4,5,6,7,10,1,8,9,2] => 000001001 => [5,1,2,1] => 375
[3,4,5,8,9,6,7,1,2] => 00001010 => [4,1,1,1,1] => 275
[3,4,5,6,9,1,10,8,7,2] => 000010111 => [4,1,1,3] => 451
[3,4,7,8,5,9,6,1,2] => 00010110 => [3,1,1,2,1] => 476
[3,4,5,9,1,6,7,8,2] => 00010001 => [3,1,3,1] => 332
[3,4,5,8,1,9,10,7,6,2] => 000100111 => [3,1,2,3] => 802
[3,4,8,1,5,9,7,6,2] => 00100111 => [2,1,2,3] => 371
[3,4,7,1,8,9,10,5,6,2] => 001000101 => [2,1,3,1,1,1] => 2256
[5,6,3,7,8,9,4,1,2] => 01000110 => [1,1,3,2,1] => 718
[3,7,8,4,5,6,1,2] => 0010010 => [2,1,2,1,1] => 252
[3,7,1,4,8,9,6,5,2] => 01000111 => [1,1,3,3] => 376
[3,6,1,7,8,9,10,5,4,2] => 010000111 => [1,1,4,3] => 854
[5,2,6,7,8,9,3,1,4] => 10000110 => [1,4,2,1] => 358
[6,1,3,7,8,9,4,5,2] => 10000101 => [1,4,1,1,1] => 410
[5,1,6,7,8,9,10,4,3,2] => 100000111 => [1,5,3] => 364
[1,2,6,7,8,9,4,3,5] => 00000110 => [5,2,1] => 98
[1,3,8,6,7,4,5,2] => 0010101 => [2,1,1,1,1,1] => 297
[2,6,5,3,7,1,8,4] => 0110101 => [1,2,1,1,1,1] => 345
[5,7,1,3,6,4,8,2] => 0100101 => [1,1,2,1,1,1] => 359
[8,2,5,4,1,7,3,6] => 1011010 => [1,1,2,1,1,1] => 359
[8,1,7,6,4,2,3,5] => 1011100 => [1,1,3,2] => 171
[1,8,6,3,7,4,5,2] => 0110101 => [1,2,1,1,1,1] => 345
[5,7,3,4,2,8,6,1] => 0101011 => [1,1,1,1,1,2] => 297
[5,8,3,4,2,7,6,1] => 0101011 => [1,1,1,1,1,2] => 297
[7,6,4,2,3,8,5,1] => 1110011 => [3,2,2] => 105
[3,5,6,8,2,4,7,1] => 0001001 => [3,1,2,1] => 137
[4,8,7,3,2,5,6,1] => 0111001 => [1,3,2,1] => 185
[3,7,4,2,6,8,5,1] => 0110011 => [1,2,2,2] => 211
[6,4,8,7,3,2,5,1] => 1011101 => [1,1,3,1,1] => 233
[5,6,2,8,7,4,3,1] => 0101111 => [1,1,1,4] => 75
[6,2,8,3,7,4,5,1] => 1010101 => [1,1,1,1,1,1,1] => 429
[3,7,5,6,4,2,8,1] => 0101101 => [1,1,1,2,1,1] => 359
[5,2,3,8,6,1,4,7] => 1001100 => [1,2,2,2] => 211
[1,4,3,8,5,6,2,7] => 0101010 => [1,1,1,1,1,1,1] => 429
[7,8,2,6,4,3,5,1] => 0101101 => [1,1,1,2,1,1] => 359
[4,5,8,7,2,3,6,1] => 0011001 => [2,2,2,1] => 211
[7,8,6,1,4,2,5,3] => 0110101 => [1,2,1,1,1,1] => 345
[6,10,5,1,2,3,4,7,8,9] => 011000000 => [1,2,6] => 140
[10,5,4,1,2,3,6,7,8,9] => 111000000 => [3,6] => 84
[8,3,6,5,2,7,1,4] => 1011010 => [1,1,2,1,1,1] => 359
[5,1,3,6,4,2,7,8] => 1001100 => [1,2,2,2] => 211
[6,1,2,4,7,5,3,8] => 1000110 => [1,3,2,1] => 185
[8,3,1,4,6,7,2,5] => 1100010 => [2,3,1,1] => 171
[7,8,5,1,2,6,3,4] => 0110010 => [1,2,2,1,1] => 295
[6,4,5,1,8,7,3,2] => 1010111 => [1,1,1,1,3] => 165
[8,6,2,1,7,3,5,4] => 1110101 => [3,1,1,1,1] => 165
[9,3,4,5,6,8,7,2,1] => 10000111 => [1,4,3] => 196
[9,4,3,5,6,7,8,2,1] => 11000011 => [2,4,2] => 262
[10,9,3,4,5,6,8,7,2,1] => 110000111 => [2,4,3] => 658
[9,8,3,4,5,7,6,2,1] => 11000111 => [2,3,3] => 281
[9,8,4,3,5,6,7,2,1] => 11100011 => [3,3,2] => 281
[10,9,4,3,5,6,7,8,2,1] => 111000011 => [3,4,2] => 658
[10,3,4,5,6,7,9,8,2,1] => 100000111 => [1,5,3] => 364
[9,3,4,5,6,2,8,7,1] => 10001011 => [1,3,1,1,2] => 551
[9,2,4,5,6,8,7,3,1] => 10000111 => [1,4,3] => 196
[9,4,3,5,6,7,2,8,1] => 11000101 => [2,3,1,1,1] => 623
[9,3,2,5,6,7,8,4,1] => 11000011 => [2,4,2] => 262
[10,4,3,5,6,7,8,9,2,1] => 110000011 => [2,5,2] => 491
[7,8,6,1,4,3,5,2] => 0110101 => [1,2,1,1,1,1] => 345
[4,6,3,5,7,2,8,1,9] => 01001010 => [1,1,2,1,1,1,1] => 1220
[5,6,3,4,7,2,8,1,9] => 01001010 => [1,1,2,1,1,1,1] => 1220
[4,3,6,2,5,7,1,8] => 1010010 => [1,1,1,2,1,1] => 359
[1,5,7,4,6,8,3,9,2] => 00100101 => [2,1,2,1,1,1] => 875
[1,6,5,7,3,4,8,2] => 0101001 => [1,1,1,1,2,1] => 345
[1,6,7,4,5,8,3,9,2] => 00100101 => [2,1,2,1,1,1] => 875
[1,7,5,6,8,4,9,3,10,2] => 010010101 => [1,1,2,1,1,1,1,1] => 4202
[1,2,3,4,8,5,9,6,7] => 00001010 => [4,1,1,1,1] => 275
[1,2,3,4,5,8,6,9,7,10] => 000001010 => [5,1,1,1,1] => 429
[1,2,3,7,4,5,8,6,9] => 00010010 => [3,1,2,1,1] => 502
[1,2,3,4,8,6,5,7,9] => 00001100 => [4,2,2] => 185
[1,2,3,4,9,7,5,6,8] => 00001100 => [4,2,2] => 185
[1,2,3,4,5,9,6,10,7,8] => 000001010 => [5,1,1,1,1] => 429
[8,2,6,5,1,7,4,3] => 1011011 => [1,1,2,1,2] => 252
[7,6,4,1,2,5,8,3] => 1110001 => [3,3,1] => 95
[2,6,5,4,8,7,1,3] => 0110110 => [1,2,1,2,1] => 281
[5,6,7,1,3,2,4,8] => 0010100 => [2,1,1,1,2] => 207
[7,1,8,4,3,2,6,5] => 1011101 => [1,1,3,1,1] => 233
[2,1,4,9,3,5,6,7,8] => 10010000 => [1,2,1,4] => 235
[3,7,1,2,4,5,6,9,8] => 01000001 => [1,1,5,1] => 170
[3,1,2,6,9,4,5,7,8] => 10001000 => [1,3,1,3] => 332
[4,6,1,2,3,5,9,7,8] => 01000010 => [1,1,4,1,1] => 450
[1,8,5,2,7,6,4,3] => 0110111 => [1,2,1,3] => 137
[1,7,6,8,2,5,4,3] => 0101011 => [1,1,1,1,1,2] => 297
[1,7,8,6,2,5,4,3] => 0011011 => [2,2,1,2] => 180
[4,6,5,7,1,8,2,3] => 0101010 => [1,1,1,1,1,1,1] => 429
[7,5,3,6,8,4,2,1] => 1100111 => [2,2,3] => 105
[7,2,5,6,4,8,3,1] => 1001011 => [1,2,1,1,2] => 241
[7,4,6,2,8,5,3,1] => 1010111 => [1,1,1,1,3] => 165
[9,7,6,5,4,3,8,2,1] => 11111011 => [5,1,2] => 83
[9,8,6,5,4,7,3,2,1] => 11110111 => [4,1,3] => 125
[5,4,3,2,1,9,7,8,6] => 11110101 => [4,1,1,1,1] => 275
[10,8,7,6,5,4,3,9,2,1] => 111111011 => [6,1,2] => 119
[10,9,7,6,5,4,8,3,2,1] => 111110111 => [5,1,3] => 209
[1,6,3,4,2,5,8,7] => 0101001 => [1,1,1,1,2,1] => 345
[1,5,7,6,2,3,8,4] => 0011001 => [2,2,2,1] => 211
[1,4,3,7,6,2,5,8] => 0101100 => [1,1,1,2,2] => 255
[1,3,7,4,6,8,5,2] => 0010011 => [2,1,2,2] => 180
[3,7,4,6,8,1,5,2] => 0100101 => [1,1,2,1,1,1] => 359
[4,8,3,1,7,6,2,5] => 0110110 => [1,2,1,2,1] => 281
[2,6,7,5,3,4,1,8] => 0011010 => [2,2,1,1,1] => 255
[2,4,1,7,5,6,8,3] => 0101001 => [1,1,1,1,2,1] => 345
[7,2,4,8,3,5,1,6] => 1001010 => [1,2,1,1,1,1] => 345
[5,6,1,4,3,8,7,2] => 0101011 => [1,1,1,1,1,2] => 297
[5,8,6,4,3,1,7,2] => 0111101 => [1,4,1,1] => 107
[4,1,3,7,8,6,5,2] => 1000111 => [1,3,3] => 95
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Description
Number of parabolic noncrossing partitions indexed by the composition.
Also the number of elements in the $\nu$-Tamari lattice with $\nu = \nu_\alpha = 1^{\alpha_1} 0^{\alpha_1} \cdots 1^{\alpha_k} 0^{\alpha_k}$, the bounce path indexed by the composition $\alpha$. These elements are Dyck paths weakly above the bounce path $\nu_\alpha$.
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 $w$.