Identifier
Mp00053:
Parking functions
—to car permutation⟶
Permutations
Mp00114: Permutations —connectivity set⟶ Binary words
Mp00178: Binary words —to composition⟶ Integer compositions
Mp00114: Permutations —connectivity set⟶ Binary words
Mp00178: Binary words —to composition⟶ Integer compositions
Images
[1] => [1] => => [1]
[1,1] => [1,2] => 1 => [1,1]
[1,2] => [1,2] => 1 => [1,1]
[2,1] => [2,1] => 0 => [2]
[1,1,1] => [1,2,3] => 11 => [1,1,1]
[1,1,2] => [1,2,3] => 11 => [1,1,1]
[1,2,1] => [1,2,3] => 11 => [1,1,1]
[2,1,1] => [2,1,3] => 01 => [2,1]
[1,1,3] => [1,2,3] => 11 => [1,1,1]
[1,3,1] => [1,3,2] => 10 => [1,2]
[3,1,1] => [2,3,1] => 00 => [3]
[1,2,2] => [1,2,3] => 11 => [1,1,1]
[2,1,2] => [2,1,3] => 01 => [2,1]
[2,2,1] => [3,1,2] => 00 => [3]
[1,2,3] => [1,2,3] => 11 => [1,1,1]
[1,3,2] => [1,3,2] => 10 => [1,2]
[2,1,3] => [2,1,3] => 01 => [2,1]
[2,3,1] => [3,1,2] => 00 => [3]
[3,1,2] => [2,3,1] => 00 => [3]
[3,2,1] => [3,2,1] => 00 => [3]
[1,1,1,1] => [1,2,3,4] => 111 => [1,1,1,1]
[1,1,1,2] => [1,2,3,4] => 111 => [1,1,1,1]
[1,1,2,1] => [1,2,3,4] => 111 => [1,1,1,1]
[1,2,1,1] => [1,2,3,4] => 111 => [1,1,1,1]
[2,1,1,1] => [2,1,3,4] => 011 => [2,1,1]
[1,1,1,3] => [1,2,3,4] => 111 => [1,1,1,1]
[1,1,3,1] => [1,2,3,4] => 111 => [1,1,1,1]
[1,3,1,1] => [1,3,2,4] => 101 => [1,2,1]
[3,1,1,1] => [2,3,1,4] => 001 => [3,1]
[1,1,1,4] => [1,2,3,4] => 111 => [1,1,1,1]
[1,1,4,1] => [1,2,4,3] => 110 => [1,1,2]
[1,4,1,1] => [1,3,4,2] => 100 => [1,3]
[4,1,1,1] => [2,3,4,1] => 000 => [4]
[1,1,2,2] => [1,2,3,4] => 111 => [1,1,1,1]
[1,2,1,2] => [1,2,3,4] => 111 => [1,1,1,1]
[1,2,2,1] => [1,2,3,4] => 111 => [1,1,1,1]
[2,1,1,2] => [2,1,3,4] => 011 => [2,1,1]
[2,1,2,1] => [2,1,3,4] => 011 => [2,1,1]
[2,2,1,1] => [3,1,2,4] => 001 => [3,1]
[1,1,2,3] => [1,2,3,4] => 111 => [1,1,1,1]
[1,1,3,2] => [1,2,3,4] => 111 => [1,1,1,1]
[1,2,1,3] => [1,2,3,4] => 111 => [1,1,1,1]
[1,2,3,1] => [1,2,3,4] => 111 => [1,1,1,1]
[1,3,1,2] => [1,3,2,4] => 101 => [1,2,1]
[1,3,2,1] => [1,3,2,4] => 101 => [1,2,1]
[2,1,1,3] => [2,1,3,4] => 011 => [2,1,1]
[2,1,3,1] => [2,1,3,4] => 011 => [2,1,1]
[2,3,1,1] => [3,1,2,4] => 001 => [3,1]
[3,1,1,2] => [2,3,1,4] => 001 => [3,1]
[3,1,2,1] => [2,3,1,4] => 001 => [3,1]
[3,2,1,1] => [3,2,1,4] => 001 => [3,1]
[1,1,2,4] => [1,2,3,4] => 111 => [1,1,1,1]
[1,1,4,2] => [1,2,4,3] => 110 => [1,1,2]
[1,2,1,4] => [1,2,3,4] => 111 => [1,1,1,1]
[1,2,4,1] => [1,2,4,3] => 110 => [1,1,2]
[1,4,1,2] => [1,3,4,2] => 100 => [1,3]
[1,4,2,1] => [1,3,4,2] => 100 => [1,3]
[2,1,1,4] => [2,1,3,4] => 011 => [2,1,1]
[2,1,4,1] => [2,1,4,3] => 010 => [2,2]
[2,4,1,1] => [3,1,4,2] => 000 => [4]
[4,1,1,2] => [2,3,4,1] => 000 => [4]
[4,1,2,1] => [2,3,4,1] => 000 => [4]
[4,2,1,1] => [3,2,4,1] => 000 => [4]
[1,1,3,3] => [1,2,3,4] => 111 => [1,1,1,1]
[1,3,1,3] => [1,3,2,4] => 101 => [1,2,1]
[1,3,3,1] => [1,4,2,3] => 100 => [1,3]
[3,1,1,3] => [2,3,1,4] => 001 => [3,1]
[3,1,3,1] => [2,4,1,3] => 000 => [4]
[3,3,1,1] => [3,4,1,2] => 000 => [4]
[1,1,3,4] => [1,2,3,4] => 111 => [1,1,1,1]
[1,1,4,3] => [1,2,4,3] => 110 => [1,1,2]
[1,3,1,4] => [1,3,2,4] => 101 => [1,2,1]
[1,3,4,1] => [1,4,2,3] => 100 => [1,3]
[1,4,1,3] => [1,3,4,2] => 100 => [1,3]
[1,4,3,1] => [1,4,3,2] => 100 => [1,3]
[3,1,1,4] => [2,3,1,4] => 001 => [3,1]
[3,1,4,1] => [2,4,1,3] => 000 => [4]
[3,4,1,1] => [3,4,1,2] => 000 => [4]
[4,1,1,3] => [2,3,4,1] => 000 => [4]
[4,1,3,1] => [2,4,3,1] => 000 => [4]
[4,3,1,1] => [3,4,2,1] => 000 => [4]
[1,2,2,2] => [1,2,3,4] => 111 => [1,1,1,1]
[2,1,2,2] => [2,1,3,4] => 011 => [2,1,1]
[2,2,1,2] => [3,1,2,4] => 001 => [3,1]
[2,2,2,1] => [4,1,2,3] => 000 => [4]
[1,2,2,3] => [1,2,3,4] => 111 => [1,1,1,1]
[1,2,3,2] => [1,2,3,4] => 111 => [1,1,1,1]
[1,3,2,2] => [1,3,2,4] => 101 => [1,2,1]
[2,1,2,3] => [2,1,3,4] => 011 => [2,1,1]
[2,1,3,2] => [2,1,3,4] => 011 => [2,1,1]
[2,2,1,3] => [3,1,2,4] => 001 => [3,1]
[2,2,3,1] => [4,1,2,3] => 000 => [4]
[2,3,1,2] => [3,1,2,4] => 001 => [3,1]
[2,3,2,1] => [4,1,2,3] => 000 => [4]
[3,1,2,2] => [2,3,1,4] => 001 => [3,1]
[3,2,1,2] => [3,2,1,4] => 001 => [3,1]
[3,2,2,1] => [4,2,1,3] => 000 => [4]
[1,2,2,4] => [1,2,3,4] => 111 => [1,1,1,1]
[1,2,4,2] => [1,2,4,3] => 110 => [1,1,2]
[1,4,2,2] => [1,3,4,2] => 100 => [1,3]
[2,1,2,4] => [2,1,3,4] => 011 => [2,1,1]
>>> Load all 18248 entries. <<<
[2,1,4,2] => [2,1,4,3] => 010 => [2,2]
[2,2,1,4] => [3,1,2,4] => 001 => [3,1]
[2,2,4,1] => [4,1,2,3] => 000 => [4]
[2,4,1,2] => [3,1,4,2] => 000 => [4]
[2,4,2,1] => [4,1,3,2] => 000 => [4]
[4,1,2,2] => [2,3,4,1] => 000 => [4]
[4,2,1,2] => [3,2,4,1] => 000 => [4]
[4,2,2,1] => [4,2,3,1] => 000 => [4]
[1,2,3,3] => [1,2,3,4] => 111 => [1,1,1,1]
[1,3,2,3] => [1,3,2,4] => 101 => [1,2,1]
[1,3,3,2] => [1,4,2,3] => 100 => [1,3]
[2,1,3,3] => [2,1,3,4] => 011 => [2,1,1]
[2,3,1,3] => [3,1,2,4] => 001 => [3,1]
[2,3,3,1] => [4,1,2,3] => 000 => [4]
[3,1,2,3] => [2,3,1,4] => 001 => [3,1]
[3,1,3,2] => [2,4,1,3] => 000 => [4]
[3,2,1,3] => [3,2,1,4] => 001 => [3,1]
[3,2,3,1] => [4,2,1,3] => 000 => [4]
[3,3,1,2] => [3,4,1,2] => 000 => [4]
[3,3,2,1] => [4,3,1,2] => 000 => [4]
[1,2,3,4] => [1,2,3,4] => 111 => [1,1,1,1]
[1,2,4,3] => [1,2,4,3] => 110 => [1,1,2]
[1,3,2,4] => [1,3,2,4] => 101 => [1,2,1]
[1,3,4,2] => [1,4,2,3] => 100 => [1,3]
[1,4,2,3] => [1,3,4,2] => 100 => [1,3]
[1,4,3,2] => [1,4,3,2] => 100 => [1,3]
[2,1,3,4] => [2,1,3,4] => 011 => [2,1,1]
[2,1,4,3] => [2,1,4,3] => 010 => [2,2]
[2,3,1,4] => [3,1,2,4] => 001 => [3,1]
[2,3,4,1] => [4,1,2,3] => 000 => [4]
[2,4,1,3] => [3,1,4,2] => 000 => [4]
[2,4,3,1] => [4,1,3,2] => 000 => [4]
[3,1,2,4] => [2,3,1,4] => 001 => [3,1]
[3,1,4,2] => [2,4,1,3] => 000 => [4]
[3,2,1,4] => [3,2,1,4] => 001 => [3,1]
[3,2,4,1] => [4,2,1,3] => 000 => [4]
[3,4,1,2] => [3,4,1,2] => 000 => [4]
[3,4,2,1] => [4,3,1,2] => 000 => [4]
[4,1,2,3] => [2,3,4,1] => 000 => [4]
[4,1,3,2] => [2,4,3,1] => 000 => [4]
[4,2,1,3] => [3,2,4,1] => 000 => [4]
[4,2,3,1] => [4,2,3,1] => 000 => [4]
[4,3,1,2] => [3,4,2,1] => 000 => [4]
[4,3,2,1] => [4,3,2,1] => 000 => [4]
[1,1,1,1,1] => [1,2,3,4,5] => 1111 => [1,1,1,1,1]
[1,1,1,1,2] => [1,2,3,4,5] => 1111 => [1,1,1,1,1]
[1,1,1,2,1] => [1,2,3,4,5] => 1111 => [1,1,1,1,1]
[1,1,2,1,1] => [1,2,3,4,5] => 1111 => [1,1,1,1,1]
[1,2,1,1,1] => [1,2,3,4,5] => 1111 => [1,1,1,1,1]
[2,1,1,1,1] => [2,1,3,4,5] => 0111 => [2,1,1,1]
[1,1,1,1,3] => [1,2,3,4,5] => 1111 => [1,1,1,1,1]
[1,1,1,3,1] => [1,2,3,4,5] => 1111 => [1,1,1,1,1]
[1,1,3,1,1] => [1,2,3,4,5] => 1111 => [1,1,1,1,1]
[1,3,1,1,1] => [1,3,2,4,5] => 1011 => [1,2,1,1]
[3,1,1,1,1] => [2,3,1,4,5] => 0011 => [3,1,1]
[1,1,1,1,4] => [1,2,3,4,5] => 1111 => [1,1,1,1,1]
[1,1,1,4,1] => [1,2,3,4,5] => 1111 => [1,1,1,1,1]
[1,1,4,1,1] => [1,2,4,3,5] => 1101 => [1,1,2,1]
[1,4,1,1,1] => [1,3,4,2,5] => 1001 => [1,3,1]
[4,1,1,1,1] => [2,3,4,1,5] => 0001 => [4,1]
[1,1,1,1,5] => [1,2,3,4,5] => 1111 => [1,1,1,1,1]
[1,1,1,5,1] => [1,2,3,5,4] => 1110 => [1,1,1,2]
[1,1,5,1,1] => [1,2,4,5,3] => 1100 => [1,1,3]
[1,5,1,1,1] => [1,3,4,5,2] => 1000 => [1,4]
[5,1,1,1,1] => [2,3,4,5,1] => 0000 => [5]
[1,1,1,2,2] => [1,2,3,4,5] => 1111 => [1,1,1,1,1]
[1,1,2,1,2] => [1,2,3,4,5] => 1111 => [1,1,1,1,1]
[1,1,2,2,1] => [1,2,3,4,5] => 1111 => [1,1,1,1,1]
[1,2,1,1,2] => [1,2,3,4,5] => 1111 => [1,1,1,1,1]
[1,2,1,2,1] => [1,2,3,4,5] => 1111 => [1,1,1,1,1]
[1,2,2,1,1] => [1,2,3,4,5] => 1111 => [1,1,1,1,1]
[2,1,1,1,2] => [2,1,3,4,5] => 0111 => [2,1,1,1]
[2,1,1,2,1] => [2,1,3,4,5] => 0111 => [2,1,1,1]
[2,1,2,1,1] => [2,1,3,4,5] => 0111 => [2,1,1,1]
[2,2,1,1,1] => [3,1,2,4,5] => 0011 => [3,1,1]
[1,1,1,2,3] => [1,2,3,4,5] => 1111 => [1,1,1,1,1]
[1,1,1,3,2] => [1,2,3,4,5] => 1111 => [1,1,1,1,1]
[1,1,2,1,3] => [1,2,3,4,5] => 1111 => [1,1,1,1,1]
[1,1,2,3,1] => [1,2,3,4,5] => 1111 => [1,1,1,1,1]
[1,1,3,1,2] => [1,2,3,4,5] => 1111 => [1,1,1,1,1]
[1,1,3,2,1] => [1,2,3,4,5] => 1111 => [1,1,1,1,1]
[1,2,1,1,3] => [1,2,3,4,5] => 1111 => [1,1,1,1,1]
[1,2,1,3,1] => [1,2,3,4,5] => 1111 => [1,1,1,1,1]
[1,2,3,1,1] => [1,2,3,4,5] => 1111 => [1,1,1,1,1]
[1,3,1,1,2] => [1,3,2,4,5] => 1011 => [1,2,1,1]
[1,3,1,2,1] => [1,3,2,4,5] => 1011 => [1,2,1,1]
[1,3,2,1,1] => [1,3,2,4,5] => 1011 => [1,2,1,1]
[2,1,1,1,3] => [2,1,3,4,5] => 0111 => [2,1,1,1]
[2,1,1,3,1] => [2,1,3,4,5] => 0111 => [2,1,1,1]
[2,1,3,1,1] => [2,1,3,4,5] => 0111 => [2,1,1,1]
[2,3,1,1,1] => [3,1,2,4,5] => 0011 => [3,1,1]
[3,1,1,1,2] => [2,3,1,4,5] => 0011 => [3,1,1]
[3,1,1,2,1] => [2,3,1,4,5] => 0011 => [3,1,1]
[3,1,2,1,1] => [2,3,1,4,5] => 0011 => [3,1,1]
[3,2,1,1,1] => [3,2,1,4,5] => 0011 => [3,1,1]
[1,1,1,2,4] => [1,2,3,4,5] => 1111 => [1,1,1,1,1]
[1,1,1,4,2] => [1,2,3,4,5] => 1111 => [1,1,1,1,1]
[1,1,2,1,4] => [1,2,3,4,5] => 1111 => [1,1,1,1,1]
[1,1,2,4,1] => [1,2,3,4,5] => 1111 => [1,1,1,1,1]
[1,1,4,1,2] => [1,2,4,3,5] => 1101 => [1,1,2,1]
[1,1,4,2,1] => [1,2,4,3,5] => 1101 => [1,1,2,1]
[1,2,1,1,4] => [1,2,3,4,5] => 1111 => [1,1,1,1,1]
[1,2,1,4,1] => [1,2,3,4,5] => 1111 => [1,1,1,1,1]
[1,2,4,1,1] => [1,2,4,3,5] => 1101 => [1,1,2,1]
[1,4,1,1,2] => [1,3,4,2,5] => 1001 => [1,3,1]
[1,4,1,2,1] => [1,3,4,2,5] => 1001 => [1,3,1]
[1,4,2,1,1] => [1,3,4,2,5] => 1001 => [1,3,1]
[2,1,1,1,4] => [2,1,3,4,5] => 0111 => [2,1,1,1]
[2,1,1,4,1] => [2,1,3,4,5] => 0111 => [2,1,1,1]
[2,1,4,1,1] => [2,1,4,3,5] => 0101 => [2,2,1]
[2,4,1,1,1] => [3,1,4,2,5] => 0001 => [4,1]
[4,1,1,1,2] => [2,3,4,1,5] => 0001 => [4,1]
[4,1,1,2,1] => [2,3,4,1,5] => 0001 => [4,1]
[4,1,2,1,1] => [2,3,4,1,5] => 0001 => [4,1]
[4,2,1,1,1] => [3,2,4,1,5] => 0001 => [4,1]
[1,1,1,2,5] => [1,2,3,4,5] => 1111 => [1,1,1,1,1]
[1,1,1,5,2] => [1,2,3,5,4] => 1110 => [1,1,1,2]
[1,1,2,1,5] => [1,2,3,4,5] => 1111 => [1,1,1,1,1]
[1,1,2,5,1] => [1,2,3,5,4] => 1110 => [1,1,1,2]
[1,1,5,1,2] => [1,2,4,5,3] => 1100 => [1,1,3]
[1,1,5,2,1] => [1,2,4,5,3] => 1100 => [1,1,3]
[1,2,1,1,5] => [1,2,3,4,5] => 1111 => [1,1,1,1,1]
[1,2,1,5,1] => [1,2,3,5,4] => 1110 => [1,1,1,2]
[1,2,5,1,1] => [1,2,4,5,3] => 1100 => [1,1,3]
[1,5,1,1,2] => [1,3,4,5,2] => 1000 => [1,4]
[1,5,1,2,1] => [1,3,4,5,2] => 1000 => [1,4]
[1,5,2,1,1] => [1,3,4,5,2] => 1000 => [1,4]
[2,1,1,1,5] => [2,1,3,4,5] => 0111 => [2,1,1,1]
[2,1,1,5,1] => [2,1,3,5,4] => 0110 => [2,1,2]
[2,1,5,1,1] => [2,1,4,5,3] => 0100 => [2,3]
[2,5,1,1,1] => [3,1,4,5,2] => 0000 => [5]
[5,1,1,1,2] => [2,3,4,5,1] => 0000 => [5]
[5,1,1,2,1] => [2,3,4,5,1] => 0000 => [5]
[5,1,2,1,1] => [2,3,4,5,1] => 0000 => [5]
[5,2,1,1,1] => [3,2,4,5,1] => 0000 => [5]
[1,1,1,3,3] => [1,2,3,4,5] => 1111 => [1,1,1,1,1]
[1,1,3,1,3] => [1,2,3,4,5] => 1111 => [1,1,1,1,1]
[1,1,3,3,1] => [1,2,3,4,5] => 1111 => [1,1,1,1,1]
[1,3,1,1,3] => [1,3,2,4,5] => 1011 => [1,2,1,1]
[1,3,1,3,1] => [1,3,2,4,5] => 1011 => [1,2,1,1]
[1,3,3,1,1] => [1,4,2,3,5] => 1001 => [1,3,1]
[3,1,1,1,3] => [2,3,1,4,5] => 0011 => [3,1,1]
[3,1,1,3,1] => [2,3,1,4,5] => 0011 => [3,1,1]
[3,1,3,1,1] => [2,4,1,3,5] => 0001 => [4,1]
[3,3,1,1,1] => [3,4,1,2,5] => 0001 => [4,1]
[1,1,1,3,4] => [1,2,3,4,5] => 1111 => [1,1,1,1,1]
[1,1,1,4,3] => [1,2,3,4,5] => 1111 => [1,1,1,1,1]
[1,1,3,1,4] => [1,2,3,4,5] => 1111 => [1,1,1,1,1]
[1,1,3,4,1] => [1,2,3,4,5] => 1111 => [1,1,1,1,1]
[1,1,4,1,3] => [1,2,4,3,5] => 1101 => [1,1,2,1]
[1,1,4,3,1] => [1,2,4,3,5] => 1101 => [1,1,2,1]
[1,3,1,1,4] => [1,3,2,4,5] => 1011 => [1,2,1,1]
[1,3,1,4,1] => [1,3,2,4,5] => 1011 => [1,2,1,1]
[1,3,4,1,1] => [1,4,2,3,5] => 1001 => [1,3,1]
[1,4,1,1,3] => [1,3,4,2,5] => 1001 => [1,3,1]
[1,4,1,3,1] => [1,3,4,2,5] => 1001 => [1,3,1]
[1,4,3,1,1] => [1,4,3,2,5] => 1001 => [1,3,1]
[3,1,1,1,4] => [2,3,1,4,5] => 0011 => [3,1,1]
[3,1,1,4,1] => [2,3,1,4,5] => 0011 => [3,1,1]
[3,1,4,1,1] => [2,4,1,3,5] => 0001 => [4,1]
[3,4,1,1,1] => [3,4,1,2,5] => 0001 => [4,1]
[4,1,1,1,3] => [2,3,4,1,5] => 0001 => [4,1]
[4,1,1,3,1] => [2,3,4,1,5] => 0001 => [4,1]
[4,1,3,1,1] => [2,4,3,1,5] => 0001 => [4,1]
[4,3,1,1,1] => [3,4,2,1,5] => 0001 => [4,1]
[1,1,1,3,5] => [1,2,3,4,5] => 1111 => [1,1,1,1,1]
[1,1,1,5,3] => [1,2,3,5,4] => 1110 => [1,1,1,2]
[1,1,3,1,5] => [1,2,3,4,5] => 1111 => [1,1,1,1,1]
[1,1,3,5,1] => [1,2,3,5,4] => 1110 => [1,1,1,2]
[1,1,5,1,3] => [1,2,4,5,3] => 1100 => [1,1,3]
[1,1,5,3,1] => [1,2,4,5,3] => 1100 => [1,1,3]
[1,3,1,1,5] => [1,3,2,4,5] => 1011 => [1,2,1,1]
[1,3,1,5,1] => [1,3,2,5,4] => 1010 => [1,2,2]
[1,3,5,1,1] => [1,4,2,5,3] => 1000 => [1,4]
[1,5,1,1,3] => [1,3,4,5,2] => 1000 => [1,4]
[1,5,1,3,1] => [1,3,4,5,2] => 1000 => [1,4]
[1,5,3,1,1] => [1,4,3,5,2] => 1000 => [1,4]
[3,1,1,1,5] => [2,3,1,4,5] => 0011 => [3,1,1]
[3,1,1,5,1] => [2,3,1,5,4] => 0010 => [3,2]
[3,1,5,1,1] => [2,4,1,5,3] => 0000 => [5]
[3,5,1,1,1] => [3,4,1,5,2] => 0000 => [5]
[5,1,1,1,3] => [2,3,4,5,1] => 0000 => [5]
[5,1,1,3,1] => [2,3,4,5,1] => 0000 => [5]
[5,1,3,1,1] => [2,4,3,5,1] => 0000 => [5]
[5,3,1,1,1] => [3,4,2,5,1] => 0000 => [5]
[1,1,1,4,4] => [1,2,3,4,5] => 1111 => [1,1,1,1,1]
[1,1,4,1,4] => [1,2,4,3,5] => 1101 => [1,1,2,1]
[1,1,4,4,1] => [1,2,5,3,4] => 1100 => [1,1,3]
[1,4,1,1,4] => [1,3,4,2,5] => 1001 => [1,3,1]
[1,4,1,4,1] => [1,3,5,2,4] => 1000 => [1,4]
[1,4,4,1,1] => [1,4,5,2,3] => 1000 => [1,4]
[4,1,1,1,4] => [2,3,4,1,5] => 0001 => [4,1]
[4,1,1,4,1] => [2,3,5,1,4] => 0000 => [5]
[4,1,4,1,1] => [2,4,5,1,3] => 0000 => [5]
[4,4,1,1,1] => [3,4,5,1,2] => 0000 => [5]
[1,1,1,4,5] => [1,2,3,4,5] => 1111 => [1,1,1,1,1]
[1,1,1,5,4] => [1,2,3,5,4] => 1110 => [1,1,1,2]
[1,1,4,1,5] => [1,2,4,3,5] => 1101 => [1,1,2,1]
[1,1,4,5,1] => [1,2,5,3,4] => 1100 => [1,1,3]
[1,1,5,1,4] => [1,2,4,5,3] => 1100 => [1,1,3]
[1,1,5,4,1] => [1,2,5,4,3] => 1100 => [1,1,3]
[1,4,1,1,5] => [1,3,4,2,5] => 1001 => [1,3,1]
[1,4,1,5,1] => [1,3,5,2,4] => 1000 => [1,4]
[1,4,5,1,1] => [1,4,5,2,3] => 1000 => [1,4]
[1,5,1,1,4] => [1,3,4,5,2] => 1000 => [1,4]
[1,5,1,4,1] => [1,3,5,4,2] => 1000 => [1,4]
[1,5,4,1,1] => [1,4,5,3,2] => 1000 => [1,4]
[4,1,1,1,5] => [2,3,4,1,5] => 0001 => [4,1]
[4,1,1,5,1] => [2,3,5,1,4] => 0000 => [5]
[4,1,5,1,1] => [2,4,5,1,3] => 0000 => [5]
[4,5,1,1,1] => [3,4,5,1,2] => 0000 => [5]
[5,1,1,1,4] => [2,3,4,5,1] => 0000 => [5]
[5,1,1,4,1] => [2,3,5,4,1] => 0000 => [5]
[5,1,4,1,1] => [2,4,5,3,1] => 0000 => [5]
[5,4,1,1,1] => [3,4,5,2,1] => 0000 => [5]
[1,1,2,2,2] => [1,2,3,4,5] => 1111 => [1,1,1,1,1]
[1,2,1,2,2] => [1,2,3,4,5] => 1111 => [1,1,1,1,1]
[1,2,2,1,2] => [1,2,3,4,5] => 1111 => [1,1,1,1,1]
[1,2,2,2,1] => [1,2,3,4,5] => 1111 => [1,1,1,1,1]
[2,1,1,2,2] => [2,1,3,4,5] => 0111 => [2,1,1,1]
[2,1,2,1,2] => [2,1,3,4,5] => 0111 => [2,1,1,1]
[2,1,2,2,1] => [2,1,3,4,5] => 0111 => [2,1,1,1]
[2,2,1,1,2] => [3,1,2,4,5] => 0011 => [3,1,1]
[2,2,1,2,1] => [3,1,2,4,5] => 0011 => [3,1,1]
[2,2,2,1,1] => [4,1,2,3,5] => 0001 => [4,1]
[1,1,2,2,3] => [1,2,3,4,5] => 1111 => [1,1,1,1,1]
[1,1,2,3,2] => [1,2,3,4,5] => 1111 => [1,1,1,1,1]
[1,1,3,2,2] => [1,2,3,4,5] => 1111 => [1,1,1,1,1]
[1,2,1,2,3] => [1,2,3,4,5] => 1111 => [1,1,1,1,1]
[1,2,1,3,2] => [1,2,3,4,5] => 1111 => [1,1,1,1,1]
[1,2,2,1,3] => [1,2,3,4,5] => 1111 => [1,1,1,1,1]
[1,2,2,3,1] => [1,2,3,4,5] => 1111 => [1,1,1,1,1]
[1,2,3,1,2] => [1,2,3,4,5] => 1111 => [1,1,1,1,1]
[1,2,3,2,1] => [1,2,3,4,5] => 1111 => [1,1,1,1,1]
[1,3,1,2,2] => [1,3,2,4,5] => 1011 => [1,2,1,1]
[1,3,2,1,2] => [1,3,2,4,5] => 1011 => [1,2,1,1]
[1,3,2,2,1] => [1,3,2,4,5] => 1011 => [1,2,1,1]
[2,1,1,2,3] => [2,1,3,4,5] => 0111 => [2,1,1,1]
[2,1,1,3,2] => [2,1,3,4,5] => 0111 => [2,1,1,1]
[2,1,2,1,3] => [2,1,3,4,5] => 0111 => [2,1,1,1]
[2,1,2,3,1] => [2,1,3,4,5] => 0111 => [2,1,1,1]
[2,1,3,1,2] => [2,1,3,4,5] => 0111 => [2,1,1,1]
[2,1,3,2,1] => [2,1,3,4,5] => 0111 => [2,1,1,1]
[2,2,1,1,3] => [3,1,2,4,5] => 0011 => [3,1,1]
[2,2,1,3,1] => [3,1,2,4,5] => 0011 => [3,1,1]
[2,2,3,1,1] => [4,1,2,3,5] => 0001 => [4,1]
[2,3,1,1,2] => [3,1,2,4,5] => 0011 => [3,1,1]
[2,3,1,2,1] => [3,1,2,4,5] => 0011 => [3,1,1]
[2,3,2,1,1] => [4,1,2,3,5] => 0001 => [4,1]
[3,1,1,2,2] => [2,3,1,4,5] => 0011 => [3,1,1]
[3,1,2,1,2] => [2,3,1,4,5] => 0011 => [3,1,1]
[3,1,2,2,1] => [2,3,1,4,5] => 0011 => [3,1,1]
[3,2,1,1,2] => [3,2,1,4,5] => 0011 => [3,1,1]
[3,2,1,2,1] => [3,2,1,4,5] => 0011 => [3,1,1]
[3,2,2,1,1] => [4,2,1,3,5] => 0001 => [4,1]
[1,1,2,2,4] => [1,2,3,4,5] => 1111 => [1,1,1,1,1]
[1,1,2,4,2] => [1,2,3,4,5] => 1111 => [1,1,1,1,1]
[1,1,4,2,2] => [1,2,4,3,5] => 1101 => [1,1,2,1]
[1,2,1,2,4] => [1,2,3,4,5] => 1111 => [1,1,1,1,1]
[1,2,1,4,2] => [1,2,3,4,5] => 1111 => [1,1,1,1,1]
[1,2,2,1,4] => [1,2,3,4,5] => 1111 => [1,1,1,1,1]
[1,2,2,4,1] => [1,2,3,4,5] => 1111 => [1,1,1,1,1]
[1,2,4,1,2] => [1,2,4,3,5] => 1101 => [1,1,2,1]
[1,2,4,2,1] => [1,2,4,3,5] => 1101 => [1,1,2,1]
[1,4,1,2,2] => [1,3,4,2,5] => 1001 => [1,3,1]
[1,4,2,1,2] => [1,3,4,2,5] => 1001 => [1,3,1]
[1,4,2,2,1] => [1,3,4,2,5] => 1001 => [1,3,1]
[2,1,1,2,4] => [2,1,3,4,5] => 0111 => [2,1,1,1]
[2,1,1,4,2] => [2,1,3,4,5] => 0111 => [2,1,1,1]
[2,1,2,1,4] => [2,1,3,4,5] => 0111 => [2,1,1,1]
[2,1,2,4,1] => [2,1,3,4,5] => 0111 => [2,1,1,1]
[2,1,4,1,2] => [2,1,4,3,5] => 0101 => [2,2,1]
[2,1,4,2,1] => [2,1,4,3,5] => 0101 => [2,2,1]
[2,2,1,1,4] => [3,1,2,4,5] => 0011 => [3,1,1]
[2,2,1,4,1] => [3,1,2,4,5] => 0011 => [3,1,1]
[2,2,4,1,1] => [4,1,2,3,5] => 0001 => [4,1]
[2,4,1,1,2] => [3,1,4,2,5] => 0001 => [4,1]
[2,4,1,2,1] => [3,1,4,2,5] => 0001 => [4,1]
[2,4,2,1,1] => [4,1,3,2,5] => 0001 => [4,1]
[4,1,1,2,2] => [2,3,4,1,5] => 0001 => [4,1]
[4,1,2,1,2] => [2,3,4,1,5] => 0001 => [4,1]
[4,1,2,2,1] => [2,3,4,1,5] => 0001 => [4,1]
[4,2,1,1,2] => [3,2,4,1,5] => 0001 => [4,1]
[4,2,1,2,1] => [3,2,4,1,5] => 0001 => [4,1]
[4,2,2,1,1] => [4,2,3,1,5] => 0001 => [4,1]
[1,1,2,2,5] => [1,2,3,4,5] => 1111 => [1,1,1,1,1]
[1,1,2,5,2] => [1,2,3,5,4] => 1110 => [1,1,1,2]
[1,1,5,2,2] => [1,2,4,5,3] => 1100 => [1,1,3]
[1,2,1,2,5] => [1,2,3,4,5] => 1111 => [1,1,1,1,1]
[1,2,1,5,2] => [1,2,3,5,4] => 1110 => [1,1,1,2]
[1,2,2,1,5] => [1,2,3,4,5] => 1111 => [1,1,1,1,1]
[1,2,2,5,1] => [1,2,3,5,4] => 1110 => [1,1,1,2]
[1,2,5,1,2] => [1,2,4,5,3] => 1100 => [1,1,3]
[1,2,5,2,1] => [1,2,4,5,3] => 1100 => [1,1,3]
[1,5,1,2,2] => [1,3,4,5,2] => 1000 => [1,4]
[1,5,2,1,2] => [1,3,4,5,2] => 1000 => [1,4]
[1,5,2,2,1] => [1,3,4,5,2] => 1000 => [1,4]
[2,1,1,2,5] => [2,1,3,4,5] => 0111 => [2,1,1,1]
[2,1,1,5,2] => [2,1,3,5,4] => 0110 => [2,1,2]
[2,1,2,1,5] => [2,1,3,4,5] => 0111 => [2,1,1,1]
[2,1,2,5,1] => [2,1,3,5,4] => 0110 => [2,1,2]
[2,1,5,1,2] => [2,1,4,5,3] => 0100 => [2,3]
[2,1,5,2,1] => [2,1,4,5,3] => 0100 => [2,3]
[2,2,1,1,5] => [3,1,2,4,5] => 0011 => [3,1,1]
[2,2,1,5,1] => [3,1,2,5,4] => 0010 => [3,2]
[2,2,5,1,1] => [4,1,2,5,3] => 0000 => [5]
[2,5,1,1,2] => [3,1,4,5,2] => 0000 => [5]
[2,5,1,2,1] => [3,1,4,5,2] => 0000 => [5]
[2,5,2,1,1] => [4,1,3,5,2] => 0000 => [5]
[5,1,1,2,2] => [2,3,4,5,1] => 0000 => [5]
[5,1,2,1,2] => [2,3,4,5,1] => 0000 => [5]
[5,1,2,2,1] => [2,3,4,5,1] => 0000 => [5]
[5,2,1,1,2] => [3,2,4,5,1] => 0000 => [5]
[5,2,1,2,1] => [3,2,4,5,1] => 0000 => [5]
[5,2,2,1,1] => [4,2,3,5,1] => 0000 => [5]
[1,1,2,3,3] => [1,2,3,4,5] => 1111 => [1,1,1,1,1]
[1,1,3,2,3] => [1,2,3,4,5] => 1111 => [1,1,1,1,1]
[1,1,3,3,2] => [1,2,3,4,5] => 1111 => [1,1,1,1,1]
[1,2,1,3,3] => [1,2,3,4,5] => 1111 => [1,1,1,1,1]
[1,2,3,1,3] => [1,2,3,4,5] => 1111 => [1,1,1,1,1]
[1,2,3,3,1] => [1,2,3,4,5] => 1111 => [1,1,1,1,1]
[1,3,1,2,3] => [1,3,2,4,5] => 1011 => [1,2,1,1]
[1,3,1,3,2] => [1,3,2,4,5] => 1011 => [1,2,1,1]
[1,3,2,1,3] => [1,3,2,4,5] => 1011 => [1,2,1,1]
[1,3,2,3,1] => [1,3,2,4,5] => 1011 => [1,2,1,1]
[1,3,3,1,2] => [1,4,2,3,5] => 1001 => [1,3,1]
[1,3,3,2,1] => [1,4,2,3,5] => 1001 => [1,3,1]
[2,1,1,3,3] => [2,1,3,4,5] => 0111 => [2,1,1,1]
[2,1,3,1,3] => [2,1,3,4,5] => 0111 => [2,1,1,1]
[2,1,3,3,1] => [2,1,3,4,5] => 0111 => [2,1,1,1]
[2,3,1,1,3] => [3,1,2,4,5] => 0011 => [3,1,1]
[2,3,1,3,1] => [3,1,2,4,5] => 0011 => [3,1,1]
[2,3,3,1,1] => [4,1,2,3,5] => 0001 => [4,1]
[3,1,1,2,3] => [2,3,1,4,5] => 0011 => [3,1,1]
[3,1,1,3,2] => [2,3,1,4,5] => 0011 => [3,1,1]
[3,1,2,1,3] => [2,3,1,4,5] => 0011 => [3,1,1]
[3,1,2,3,1] => [2,3,1,4,5] => 0011 => [3,1,1]
[3,1,3,1,2] => [2,4,1,3,5] => 0001 => [4,1]
[3,1,3,2,1] => [2,4,1,3,5] => 0001 => [4,1]
[3,2,1,1,3] => [3,2,1,4,5] => 0011 => [3,1,1]
[3,2,1,3,1] => [3,2,1,4,5] => 0011 => [3,1,1]
[3,2,3,1,1] => [4,2,1,3,5] => 0001 => [4,1]
[3,3,1,1,2] => [3,4,1,2,5] => 0001 => [4,1]
[3,3,1,2,1] => [3,4,1,2,5] => 0001 => [4,1]
[3,3,2,1,1] => [4,3,1,2,5] => 0001 => [4,1]
[1,1,2,3,4] => [1,2,3,4,5] => 1111 => [1,1,1,1,1]
[1,1,2,4,3] => [1,2,3,4,5] => 1111 => [1,1,1,1,1]
[1,1,3,2,4] => [1,2,3,4,5] => 1111 => [1,1,1,1,1]
[1,1,3,4,2] => [1,2,3,4,5] => 1111 => [1,1,1,1,1]
[1,1,4,2,3] => [1,2,4,3,5] => 1101 => [1,1,2,1]
[1,1,4,3,2] => [1,2,4,3,5] => 1101 => [1,1,2,1]
[1,2,1,3,4] => [1,2,3,4,5] => 1111 => [1,1,1,1,1]
[1,2,1,4,3] => [1,2,3,4,5] => 1111 => [1,1,1,1,1]
[1,2,3,1,4] => [1,2,3,4,5] => 1111 => [1,1,1,1,1]
[1,2,3,4,1] => [1,2,3,4,5] => 1111 => [1,1,1,1,1]
[1,2,4,1,3] => [1,2,4,3,5] => 1101 => [1,1,2,1]
[1,2,4,3,1] => [1,2,4,3,5] => 1101 => [1,1,2,1]
[1,3,1,2,4] => [1,3,2,4,5] => 1011 => [1,2,1,1]
[1,3,1,4,2] => [1,3,2,4,5] => 1011 => [1,2,1,1]
[1,3,2,1,4] => [1,3,2,4,5] => 1011 => [1,2,1,1]
[1,3,2,4,1] => [1,3,2,4,5] => 1011 => [1,2,1,1]
[1,3,4,1,2] => [1,4,2,3,5] => 1001 => [1,3,1]
[1,3,4,2,1] => [1,4,2,3,5] => 1001 => [1,3,1]
[1,4,1,2,3] => [1,3,4,2,5] => 1001 => [1,3,1]
[1,4,1,3,2] => [1,3,4,2,5] => 1001 => [1,3,1]
[1,4,2,1,3] => [1,3,4,2,5] => 1001 => [1,3,1]
[1,4,2,3,1] => [1,3,4,2,5] => 1001 => [1,3,1]
[1,4,3,1,2] => [1,4,3,2,5] => 1001 => [1,3,1]
[1,4,3,2,1] => [1,4,3,2,5] => 1001 => [1,3,1]
[2,1,1,3,4] => [2,1,3,4,5] => 0111 => [2,1,1,1]
[2,1,1,4,3] => [2,1,3,4,5] => 0111 => [2,1,1,1]
[2,1,3,1,4] => [2,1,3,4,5] => 0111 => [2,1,1,1]
[2,1,3,4,1] => [2,1,3,4,5] => 0111 => [2,1,1,1]
[2,1,4,1,3] => [2,1,4,3,5] => 0101 => [2,2,1]
[2,1,4,3,1] => [2,1,4,3,5] => 0101 => [2,2,1]
[2,3,1,1,4] => [3,1,2,4,5] => 0011 => [3,1,1]
[2,3,1,4,1] => [3,1,2,4,5] => 0011 => [3,1,1]
[2,3,4,1,1] => [4,1,2,3,5] => 0001 => [4,1]
[2,4,1,1,3] => [3,1,4,2,5] => 0001 => [4,1]
[2,4,1,3,1] => [3,1,4,2,5] => 0001 => [4,1]
[2,4,3,1,1] => [4,1,3,2,5] => 0001 => [4,1]
[3,1,1,2,4] => [2,3,1,4,5] => 0011 => [3,1,1]
[3,1,1,4,2] => [2,3,1,4,5] => 0011 => [3,1,1]
[3,1,2,1,4] => [2,3,1,4,5] => 0011 => [3,1,1]
[3,1,2,4,1] => [2,3,1,4,5] => 0011 => [3,1,1]
[3,1,4,1,2] => [2,4,1,3,5] => 0001 => [4,1]
[3,1,4,2,1] => [2,4,1,3,5] => 0001 => [4,1]
[3,2,1,1,4] => [3,2,1,4,5] => 0011 => [3,1,1]
[3,2,1,4,1] => [3,2,1,4,5] => 0011 => [3,1,1]
[3,2,4,1,1] => [4,2,1,3,5] => 0001 => [4,1]
[3,4,1,1,2] => [3,4,1,2,5] => 0001 => [4,1]
[3,4,1,2,1] => [3,4,1,2,5] => 0001 => [4,1]
[3,4,2,1,1] => [4,3,1,2,5] => 0001 => [4,1]
[4,1,1,2,3] => [2,3,4,1,5] => 0001 => [4,1]
[4,1,1,3,2] => [2,3,4,1,5] => 0001 => [4,1]
[4,1,2,1,3] => [2,3,4,1,5] => 0001 => [4,1]
[4,1,2,3,1] => [2,3,4,1,5] => 0001 => [4,1]
[4,1,3,1,2] => [2,4,3,1,5] => 0001 => [4,1]
[4,1,3,2,1] => [2,4,3,1,5] => 0001 => [4,1]
[4,2,1,1,3] => [3,2,4,1,5] => 0001 => [4,1]
[4,2,1,3,1] => [3,2,4,1,5] => 0001 => [4,1]
[4,2,3,1,1] => [4,2,3,1,5] => 0001 => [4,1]
[4,3,1,1,2] => [3,4,2,1,5] => 0001 => [4,1]
[4,3,1,2,1] => [3,4,2,1,5] => 0001 => [4,1]
[4,3,2,1,1] => [4,3,2,1,5] => 0001 => [4,1]
[1,1,2,3,5] => [1,2,3,4,5] => 1111 => [1,1,1,1,1]
[1,1,2,5,3] => [1,2,3,5,4] => 1110 => [1,1,1,2]
[1,1,3,2,5] => [1,2,3,4,5] => 1111 => [1,1,1,1,1]
[1,1,3,5,2] => [1,2,3,5,4] => 1110 => [1,1,1,2]
[1,1,5,2,3] => [1,2,4,5,3] => 1100 => [1,1,3]
[1,1,5,3,2] => [1,2,4,5,3] => 1100 => [1,1,3]
[1,2,1,3,5] => [1,2,3,4,5] => 1111 => [1,1,1,1,1]
[1,2,1,5,3] => [1,2,3,5,4] => 1110 => [1,1,1,2]
[1,2,3,1,5] => [1,2,3,4,5] => 1111 => [1,1,1,1,1]
[1,2,3,5,1] => [1,2,3,5,4] => 1110 => [1,1,1,2]
[1,2,5,1,3] => [1,2,4,5,3] => 1100 => [1,1,3]
[1,2,5,3,1] => [1,2,4,5,3] => 1100 => [1,1,3]
[1,3,1,2,5] => [1,3,2,4,5] => 1011 => [1,2,1,1]
[1,3,1,5,2] => [1,3,2,5,4] => 1010 => [1,2,2]
[1,3,2,1,5] => [1,3,2,4,5] => 1011 => [1,2,1,1]
[1,3,2,5,1] => [1,3,2,5,4] => 1010 => [1,2,2]
[1,3,5,1,2] => [1,4,2,5,3] => 1000 => [1,4]
[1,3,5,2,1] => [1,4,2,5,3] => 1000 => [1,4]
[1,5,1,2,3] => [1,3,4,5,2] => 1000 => [1,4]
[1,5,1,3,2] => [1,3,4,5,2] => 1000 => [1,4]
[1,5,2,1,3] => [1,3,4,5,2] => 1000 => [1,4]
[1,5,2,3,1] => [1,3,4,5,2] => 1000 => [1,4]
[1,5,3,1,2] => [1,4,3,5,2] => 1000 => [1,4]
[1,5,3,2,1] => [1,4,3,5,2] => 1000 => [1,4]
[2,1,1,3,5] => [2,1,3,4,5] => 0111 => [2,1,1,1]
[2,1,1,5,3] => [2,1,3,5,4] => 0110 => [2,1,2]
[2,1,3,1,5] => [2,1,3,4,5] => 0111 => [2,1,1,1]
[2,1,3,5,1] => [2,1,3,5,4] => 0110 => [2,1,2]
[2,1,5,1,3] => [2,1,4,5,3] => 0100 => [2,3]
[2,1,5,3,1] => [2,1,4,5,3] => 0100 => [2,3]
[2,3,1,1,5] => [3,1,2,4,5] => 0011 => [3,1,1]
[2,3,1,5,1] => [3,1,2,5,4] => 0010 => [3,2]
[2,3,5,1,1] => [4,1,2,5,3] => 0000 => [5]
[2,5,1,1,3] => [3,1,4,5,2] => 0000 => [5]
[2,5,1,3,1] => [3,1,4,5,2] => 0000 => [5]
[2,5,3,1,1] => [4,1,3,5,2] => 0000 => [5]
[3,1,1,2,5] => [2,3,1,4,5] => 0011 => [3,1,1]
[3,1,1,5,2] => [2,3,1,5,4] => 0010 => [3,2]
[3,1,2,1,5] => [2,3,1,4,5] => 0011 => [3,1,1]
[3,1,2,5,1] => [2,3,1,5,4] => 0010 => [3,2]
[3,1,5,1,2] => [2,4,1,5,3] => 0000 => [5]
[3,1,5,2,1] => [2,4,1,5,3] => 0000 => [5]
[3,2,1,1,5] => [3,2,1,4,5] => 0011 => [3,1,1]
[3,2,1,5,1] => [3,2,1,5,4] => 0010 => [3,2]
[3,2,5,1,1] => [4,2,1,5,3] => 0000 => [5]
[3,5,1,1,2] => [3,4,1,5,2] => 0000 => [5]
[3,5,1,2,1] => [3,4,1,5,2] => 0000 => [5]
[3,5,2,1,1] => [4,3,1,5,2] => 0000 => [5]
[5,1,1,2,3] => [2,3,4,5,1] => 0000 => [5]
[5,1,1,3,2] => [2,3,4,5,1] => 0000 => [5]
[5,1,2,1,3] => [2,3,4,5,1] => 0000 => [5]
[5,1,2,3,1] => [2,3,4,5,1] => 0000 => [5]
[5,1,3,1,2] => [2,4,3,5,1] => 0000 => [5]
[5,1,3,2,1] => [2,4,3,5,1] => 0000 => [5]
[5,2,1,1,3] => [3,2,4,5,1] => 0000 => [5]
[5,2,1,3,1] => [3,2,4,5,1] => 0000 => [5]
[5,2,3,1,1] => [4,2,3,5,1] => 0000 => [5]
[5,3,1,1,2] => [3,4,2,5,1] => 0000 => [5]
[5,3,1,2,1] => [3,4,2,5,1] => 0000 => [5]
[5,3,2,1,1] => [4,3,2,5,1] => 0000 => [5]
[1,1,2,4,4] => [1,2,3,4,5] => 1111 => [1,1,1,1,1]
[1,1,4,2,4] => [1,2,4,3,5] => 1101 => [1,1,2,1]
[1,1,4,4,2] => [1,2,5,3,4] => 1100 => [1,1,3]
[1,2,1,4,4] => [1,2,3,4,5] => 1111 => [1,1,1,1,1]
[1,2,4,1,4] => [1,2,4,3,5] => 1101 => [1,1,2,1]
[1,2,4,4,1] => [1,2,5,3,4] => 1100 => [1,1,3]
[1,4,1,2,4] => [1,3,4,2,5] => 1001 => [1,3,1]
[1,4,1,4,2] => [1,3,5,2,4] => 1000 => [1,4]
[1,4,2,1,4] => [1,3,4,2,5] => 1001 => [1,3,1]
[1,4,2,4,1] => [1,3,5,2,4] => 1000 => [1,4]
[1,4,4,1,2] => [1,4,5,2,3] => 1000 => [1,4]
[1,4,4,2,1] => [1,4,5,2,3] => 1000 => [1,4]
[2,1,1,4,4] => [2,1,3,4,5] => 0111 => [2,1,1,1]
[2,1,4,1,4] => [2,1,4,3,5] => 0101 => [2,2,1]
[2,1,4,4,1] => [2,1,5,3,4] => 0100 => [2,3]
[2,4,1,1,4] => [3,1,4,2,5] => 0001 => [4,1]
[2,4,1,4,1] => [3,1,5,2,4] => 0000 => [5]
[2,4,4,1,1] => [4,1,5,2,3] => 0000 => [5]
[4,1,1,2,4] => [2,3,4,1,5] => 0001 => [4,1]
[4,1,1,4,2] => [2,3,5,1,4] => 0000 => [5]
[4,1,2,1,4] => [2,3,4,1,5] => 0001 => [4,1]
[4,1,2,4,1] => [2,3,5,1,4] => 0000 => [5]
[4,1,4,1,2] => [2,4,5,1,3] => 0000 => [5]
[4,1,4,2,1] => [2,4,5,1,3] => 0000 => [5]
[4,2,1,1,4] => [3,2,4,1,5] => 0001 => [4,1]
[4,2,1,4,1] => [3,2,5,1,4] => 0000 => [5]
[4,2,4,1,1] => [4,2,5,1,3] => 0000 => [5]
[4,4,1,1,2] => [3,4,5,1,2] => 0000 => [5]
[4,4,1,2,1] => [3,4,5,1,2] => 0000 => [5]
[4,4,2,1,1] => [4,3,5,1,2] => 0000 => [5]
[1,1,2,4,5] => [1,2,3,4,5] => 1111 => [1,1,1,1,1]
[1,1,2,5,4] => [1,2,3,5,4] => 1110 => [1,1,1,2]
[1,1,4,2,5] => [1,2,4,3,5] => 1101 => [1,1,2,1]
[1,1,4,5,2] => [1,2,5,3,4] => 1100 => [1,1,3]
[1,1,5,2,4] => [1,2,4,5,3] => 1100 => [1,1,3]
[1,1,5,4,2] => [1,2,5,4,3] => 1100 => [1,1,3]
[1,2,1,4,5] => [1,2,3,4,5] => 1111 => [1,1,1,1,1]
[1,2,1,5,4] => [1,2,3,5,4] => 1110 => [1,1,1,2]
[1,2,4,1,5] => [1,2,4,3,5] => 1101 => [1,1,2,1]
[1,2,4,5,1] => [1,2,5,3,4] => 1100 => [1,1,3]
[1,2,5,1,4] => [1,2,4,5,3] => 1100 => [1,1,3]
[1,2,5,4,1] => [1,2,5,4,3] => 1100 => [1,1,3]
[1,4,1,2,5] => [1,3,4,2,5] => 1001 => [1,3,1]
[1,4,1,5,2] => [1,3,5,2,4] => 1000 => [1,4]
[1,4,2,1,5] => [1,3,4,2,5] => 1001 => [1,3,1]
[1,4,2,5,1] => [1,3,5,2,4] => 1000 => [1,4]
[1,4,5,1,2] => [1,4,5,2,3] => 1000 => [1,4]
[1,4,5,2,1] => [1,4,5,2,3] => 1000 => [1,4]
[1,5,1,2,4] => [1,3,4,5,2] => 1000 => [1,4]
[1,5,1,4,2] => [1,3,5,4,2] => 1000 => [1,4]
[1,5,2,1,4] => [1,3,4,5,2] => 1000 => [1,4]
[1,5,2,4,1] => [1,3,5,4,2] => 1000 => [1,4]
[1,5,4,1,2] => [1,4,5,3,2] => 1000 => [1,4]
[1,5,4,2,1] => [1,4,5,3,2] => 1000 => [1,4]
[2,1,1,4,5] => [2,1,3,4,5] => 0111 => [2,1,1,1]
[2,1,1,5,4] => [2,1,3,5,4] => 0110 => [2,1,2]
[2,1,4,1,5] => [2,1,4,3,5] => 0101 => [2,2,1]
[2,1,4,5,1] => [2,1,5,3,4] => 0100 => [2,3]
[2,1,5,1,4] => [2,1,4,5,3] => 0100 => [2,3]
[2,1,5,4,1] => [2,1,5,4,3] => 0100 => [2,3]
[2,4,1,1,5] => [3,1,4,2,5] => 0001 => [4,1]
[2,4,1,5,1] => [3,1,5,2,4] => 0000 => [5]
[2,4,5,1,1] => [4,1,5,2,3] => 0000 => [5]
[2,5,1,1,4] => [3,1,4,5,2] => 0000 => [5]
[2,5,1,4,1] => [3,1,5,4,2] => 0000 => [5]
[2,5,4,1,1] => [4,1,5,3,2] => 0000 => [5]
[4,1,1,2,5] => [2,3,4,1,5] => 0001 => [4,1]
[4,1,1,5,2] => [2,3,5,1,4] => 0000 => [5]
[4,1,2,1,5] => [2,3,4,1,5] => 0001 => [4,1]
[4,1,2,5,1] => [2,3,5,1,4] => 0000 => [5]
[4,1,5,1,2] => [2,4,5,1,3] => 0000 => [5]
[4,1,5,2,1] => [2,4,5,1,3] => 0000 => [5]
[4,2,1,1,5] => [3,2,4,1,5] => 0001 => [4,1]
[4,2,1,5,1] => [3,2,5,1,4] => 0000 => [5]
[4,2,5,1,1] => [4,2,5,1,3] => 0000 => [5]
[4,5,1,1,2] => [3,4,5,1,2] => 0000 => [5]
[4,5,1,2,1] => [3,4,5,1,2] => 0000 => [5]
[4,5,2,1,1] => [4,3,5,1,2] => 0000 => [5]
[5,1,1,2,4] => [2,3,4,5,1] => 0000 => [5]
[5,1,1,4,2] => [2,3,5,4,1] => 0000 => [5]
[5,1,2,1,4] => [2,3,4,5,1] => 0000 => [5]
[5,1,2,4,1] => [2,3,5,4,1] => 0000 => [5]
[5,1,4,1,2] => [2,4,5,3,1] => 0000 => [5]
[5,1,4,2,1] => [2,4,5,3,1] => 0000 => [5]
[5,2,1,1,4] => [3,2,4,5,1] => 0000 => [5]
[5,2,1,4,1] => [3,2,5,4,1] => 0000 => [5]
[5,2,4,1,1] => [4,2,5,3,1] => 0000 => [5]
[5,4,1,1,2] => [3,4,5,2,1] => 0000 => [5]
[5,4,1,2,1] => [3,4,5,2,1] => 0000 => [5]
[5,4,2,1,1] => [4,3,5,2,1] => 0000 => [5]
[1,1,3,3,3] => [1,2,3,4,5] => 1111 => [1,1,1,1,1]
[1,3,1,3,3] => [1,3,2,4,5] => 1011 => [1,2,1,1]
[1,3,3,1,3] => [1,4,2,3,5] => 1001 => [1,3,1]
[1,3,3,3,1] => [1,5,2,3,4] => 1000 => [1,4]
[3,1,1,3,3] => [2,3,1,4,5] => 0011 => [3,1,1]
[3,1,3,1,3] => [2,4,1,3,5] => 0001 => [4,1]
[3,1,3,3,1] => [2,5,1,3,4] => 0000 => [5]
[3,3,1,1,3] => [3,4,1,2,5] => 0001 => [4,1]
[3,3,1,3,1] => [3,5,1,2,4] => 0000 => [5]
[3,3,3,1,1] => [4,5,1,2,3] => 0000 => [5]
[1,1,3,3,4] => [1,2,3,4,5] => 1111 => [1,1,1,1,1]
[1,1,3,4,3] => [1,2,3,4,5] => 1111 => [1,1,1,1,1]
[1,1,4,3,3] => [1,2,4,3,5] => 1101 => [1,1,2,1]
[1,3,1,3,4] => [1,3,2,4,5] => 1011 => [1,2,1,1]
[1,3,1,4,3] => [1,3,2,4,5] => 1011 => [1,2,1,1]
[1,3,3,1,4] => [1,4,2,3,5] => 1001 => [1,3,1]
[1,3,3,4,1] => [1,5,2,3,4] => 1000 => [1,4]
[1,3,4,1,3] => [1,4,2,3,5] => 1001 => [1,3,1]
[1,3,4,3,1] => [1,5,2,3,4] => 1000 => [1,4]
[1,4,1,3,3] => [1,3,4,2,5] => 1001 => [1,3,1]
[1,4,3,1,3] => [1,4,3,2,5] => 1001 => [1,3,1]
[1,4,3,3,1] => [1,5,3,2,4] => 1000 => [1,4]
[3,1,1,3,4] => [2,3,1,4,5] => 0011 => [3,1,1]
[3,1,1,4,3] => [2,3,1,4,5] => 0011 => [3,1,1]
[3,1,3,1,4] => [2,4,1,3,5] => 0001 => [4,1]
[3,1,3,4,1] => [2,5,1,3,4] => 0000 => [5]
[3,1,4,1,3] => [2,4,1,3,5] => 0001 => [4,1]
[3,1,4,3,1] => [2,5,1,3,4] => 0000 => [5]
[3,3,1,1,4] => [3,4,1,2,5] => 0001 => [4,1]
[3,3,1,4,1] => [3,5,1,2,4] => 0000 => [5]
[3,3,4,1,1] => [4,5,1,2,3] => 0000 => [5]
[3,4,1,1,3] => [3,4,1,2,5] => 0001 => [4,1]
[3,4,1,3,1] => [3,5,1,2,4] => 0000 => [5]
[3,4,3,1,1] => [4,5,1,2,3] => 0000 => [5]
[4,1,1,3,3] => [2,3,4,1,5] => 0001 => [4,1]
[4,1,3,1,3] => [2,4,3,1,5] => 0001 => [4,1]
[4,1,3,3,1] => [2,5,3,1,4] => 0000 => [5]
[4,3,1,1,3] => [3,4,2,1,5] => 0001 => [4,1]
[4,3,1,3,1] => [3,5,2,1,4] => 0000 => [5]
[4,3,3,1,1] => [4,5,2,1,3] => 0000 => [5]
[1,1,3,3,5] => [1,2,3,4,5] => 1111 => [1,1,1,1,1]
[1,1,3,5,3] => [1,2,3,5,4] => 1110 => [1,1,1,2]
[1,1,5,3,3] => [1,2,4,5,3] => 1100 => [1,1,3]
[1,3,1,3,5] => [1,3,2,4,5] => 1011 => [1,2,1,1]
[1,3,1,5,3] => [1,3,2,5,4] => 1010 => [1,2,2]
[1,3,3,1,5] => [1,4,2,3,5] => 1001 => [1,3,1]
[1,3,3,5,1] => [1,5,2,3,4] => 1000 => [1,4]
[1,3,5,1,3] => [1,4,2,5,3] => 1000 => [1,4]
[1,3,5,3,1] => [1,5,2,4,3] => 1000 => [1,4]
[1,5,1,3,3] => [1,3,4,5,2] => 1000 => [1,4]
[1,5,3,1,3] => [1,4,3,5,2] => 1000 => [1,4]
[1,5,3,3,1] => [1,5,3,4,2] => 1000 => [1,4]
[3,1,1,3,5] => [2,3,1,4,5] => 0011 => [3,1,1]
[3,1,1,5,3] => [2,3,1,5,4] => 0010 => [3,2]
[3,1,3,1,5] => [2,4,1,3,5] => 0001 => [4,1]
[3,1,3,5,1] => [2,5,1,3,4] => 0000 => [5]
[3,1,5,1,3] => [2,4,1,5,3] => 0000 => [5]
[3,1,5,3,1] => [2,5,1,4,3] => 0000 => [5]
[3,3,1,1,5] => [3,4,1,2,5] => 0001 => [4,1]
[3,3,1,5,1] => [3,5,1,2,4] => 0000 => [5]
[3,3,5,1,1] => [4,5,1,2,3] => 0000 => [5]
[3,5,1,1,3] => [3,4,1,5,2] => 0000 => [5]
[3,5,1,3,1] => [3,5,1,4,2] => 0000 => [5]
[3,5,3,1,1] => [4,5,1,3,2] => 0000 => [5]
[5,1,1,3,3] => [2,3,4,5,1] => 0000 => [5]
[5,1,3,1,3] => [2,4,3,5,1] => 0000 => [5]
[5,1,3,3,1] => [2,5,3,4,1] => 0000 => [5]
[5,3,1,1,3] => [3,4,2,5,1] => 0000 => [5]
[5,3,1,3,1] => [3,5,2,4,1] => 0000 => [5]
[5,3,3,1,1] => [4,5,2,3,1] => 0000 => [5]
[1,1,3,4,4] => [1,2,3,4,5] => 1111 => [1,1,1,1,1]
[1,1,4,3,4] => [1,2,4,3,5] => 1101 => [1,1,2,1]
[1,1,4,4,3] => [1,2,5,3,4] => 1100 => [1,1,3]
[1,3,1,4,4] => [1,3,2,4,5] => 1011 => [1,2,1,1]
[1,3,4,1,4] => [1,4,2,3,5] => 1001 => [1,3,1]
[1,3,4,4,1] => [1,5,2,3,4] => 1000 => [1,4]
[1,4,1,3,4] => [1,3,4,2,5] => 1001 => [1,3,1]
[1,4,1,4,3] => [1,3,5,2,4] => 1000 => [1,4]
[1,4,3,1,4] => [1,4,3,2,5] => 1001 => [1,3,1]
[1,4,3,4,1] => [1,5,3,2,4] => 1000 => [1,4]
[1,4,4,1,3] => [1,4,5,2,3] => 1000 => [1,4]
[1,4,4,3,1] => [1,5,4,2,3] => 1000 => [1,4]
[3,1,1,4,4] => [2,3,1,4,5] => 0011 => [3,1,1]
[3,1,4,1,4] => [2,4,1,3,5] => 0001 => [4,1]
[3,1,4,4,1] => [2,5,1,3,4] => 0000 => [5]
[3,4,1,1,4] => [3,4,1,2,5] => 0001 => [4,1]
[3,4,1,4,1] => [3,5,1,2,4] => 0000 => [5]
[3,4,4,1,1] => [4,5,1,2,3] => 0000 => [5]
[4,1,1,3,4] => [2,3,4,1,5] => 0001 => [4,1]
[4,1,1,4,3] => [2,3,5,1,4] => 0000 => [5]
[4,1,3,1,4] => [2,4,3,1,5] => 0001 => [4,1]
[4,1,3,4,1] => [2,5,3,1,4] => 0000 => [5]
[4,1,4,1,3] => [2,4,5,1,3] => 0000 => [5]
[4,1,4,3,1] => [2,5,4,1,3] => 0000 => [5]
[4,3,1,1,4] => [3,4,2,1,5] => 0001 => [4,1]
[4,3,1,4,1] => [3,5,2,1,4] => 0000 => [5]
[4,3,4,1,1] => [4,5,2,1,3] => 0000 => [5]
[4,4,1,1,3] => [3,4,5,1,2] => 0000 => [5]
[4,4,1,3,1] => [3,5,4,1,2] => 0000 => [5]
[4,4,3,1,1] => [4,5,3,1,2] => 0000 => [5]
[1,1,3,4,5] => [1,2,3,4,5] => 1111 => [1,1,1,1,1]
[1,1,3,5,4] => [1,2,3,5,4] => 1110 => [1,1,1,2]
[1,1,4,3,5] => [1,2,4,3,5] => 1101 => [1,1,2,1]
[1,1,4,5,3] => [1,2,5,3,4] => 1100 => [1,1,3]
[1,1,5,3,4] => [1,2,4,5,3] => 1100 => [1,1,3]
[1,1,5,4,3] => [1,2,5,4,3] => 1100 => [1,1,3]
[1,3,1,4,5] => [1,3,2,4,5] => 1011 => [1,2,1,1]
[1,3,1,5,4] => [1,3,2,5,4] => 1010 => [1,2,2]
[1,3,4,1,5] => [1,4,2,3,5] => 1001 => [1,3,1]
[1,3,4,5,1] => [1,5,2,3,4] => 1000 => [1,4]
[1,3,5,1,4] => [1,4,2,5,3] => 1000 => [1,4]
[1,3,5,4,1] => [1,5,2,4,3] => 1000 => [1,4]
[1,4,1,3,5] => [1,3,4,2,5] => 1001 => [1,3,1]
[1,4,1,5,3] => [1,3,5,2,4] => 1000 => [1,4]
[1,4,3,1,5] => [1,4,3,2,5] => 1001 => [1,3,1]
[1,4,3,5,1] => [1,5,3,2,4] => 1000 => [1,4]
[1,4,5,1,3] => [1,4,5,2,3] => 1000 => [1,4]
[1,4,5,3,1] => [1,5,4,2,3] => 1000 => [1,4]
[1,5,1,3,4] => [1,3,4,5,2] => 1000 => [1,4]
[1,5,1,4,3] => [1,3,5,4,2] => 1000 => [1,4]
[1,5,3,1,4] => [1,4,3,5,2] => 1000 => [1,4]
[1,5,3,4,1] => [1,5,3,4,2] => 1000 => [1,4]
[1,5,4,1,3] => [1,4,5,3,2] => 1000 => [1,4]
[1,5,4,3,1] => [1,5,4,3,2] => 1000 => [1,4]
[3,1,1,4,5] => [2,3,1,4,5] => 0011 => [3,1,1]
[3,1,1,5,4] => [2,3,1,5,4] => 0010 => [3,2]
[3,1,4,1,5] => [2,4,1,3,5] => 0001 => [4,1]
[3,1,4,5,1] => [2,5,1,3,4] => 0000 => [5]
[3,1,5,1,4] => [2,4,1,5,3] => 0000 => [5]
[3,1,5,4,1] => [2,5,1,4,3] => 0000 => [5]
[3,4,1,1,5] => [3,4,1,2,5] => 0001 => [4,1]
[3,4,1,5,1] => [3,5,1,2,4] => 0000 => [5]
[3,4,5,1,1] => [4,5,1,2,3] => 0000 => [5]
[3,5,1,1,4] => [3,4,1,5,2] => 0000 => [5]
[3,5,1,4,1] => [3,5,1,4,2] => 0000 => [5]
[3,5,4,1,1] => [4,5,1,3,2] => 0000 => [5]
[4,1,1,3,5] => [2,3,4,1,5] => 0001 => [4,1]
[4,1,1,5,3] => [2,3,5,1,4] => 0000 => [5]
[4,1,3,1,5] => [2,4,3,1,5] => 0001 => [4,1]
[4,1,3,5,1] => [2,5,3,1,4] => 0000 => [5]
[4,1,5,1,3] => [2,4,5,1,3] => 0000 => [5]
[4,1,5,3,1] => [2,5,4,1,3] => 0000 => [5]
[4,3,1,1,5] => [3,4,2,1,5] => 0001 => [4,1]
[4,3,1,5,1] => [3,5,2,1,4] => 0000 => [5]
[4,3,5,1,1] => [4,5,2,1,3] => 0000 => [5]
[4,5,1,1,3] => [3,4,5,1,2] => 0000 => [5]
[4,5,1,3,1] => [3,5,4,1,2] => 0000 => [5]
[4,5,3,1,1] => [4,5,3,1,2] => 0000 => [5]
[5,1,1,3,4] => [2,3,4,5,1] => 0000 => [5]
[5,1,1,4,3] => [2,3,5,4,1] => 0000 => [5]
[5,1,3,1,4] => [2,4,3,5,1] => 0000 => [5]
[5,1,3,4,1] => [2,5,3,4,1] => 0000 => [5]
[5,1,4,1,3] => [2,4,5,3,1] => 0000 => [5]
[5,1,4,3,1] => [2,5,4,3,1] => 0000 => [5]
[5,3,1,1,4] => [3,4,2,5,1] => 0000 => [5]
[5,3,1,4,1] => [3,5,2,4,1] => 0000 => [5]
[5,3,4,1,1] => [4,5,2,3,1] => 0000 => [5]
[5,4,1,1,3] => [3,4,5,2,1] => 0000 => [5]
[5,4,1,3,1] => [3,5,4,2,1] => 0000 => [5]
[5,4,3,1,1] => [4,5,3,2,1] => 0000 => [5]
[1,2,2,2,2] => [1,2,3,4,5] => 1111 => [1,1,1,1,1]
[2,1,2,2,2] => [2,1,3,4,5] => 0111 => [2,1,1,1]
[2,2,1,2,2] => [3,1,2,4,5] => 0011 => [3,1,1]
[2,2,2,1,2] => [4,1,2,3,5] => 0001 => [4,1]
[2,2,2,2,1] => [5,1,2,3,4] => 0000 => [5]
[1,2,2,2,3] => [1,2,3,4,5] => 1111 => [1,1,1,1,1]
[1,2,2,3,2] => [1,2,3,4,5] => 1111 => [1,1,1,1,1]
[1,2,3,2,2] => [1,2,3,4,5] => 1111 => [1,1,1,1,1]
[1,3,2,2,2] => [1,3,2,4,5] => 1011 => [1,2,1,1]
[2,1,2,2,3] => [2,1,3,4,5] => 0111 => [2,1,1,1]
[2,1,2,3,2] => [2,1,3,4,5] => 0111 => [2,1,1,1]
[2,1,3,2,2] => [2,1,3,4,5] => 0111 => [2,1,1,1]
[2,2,1,2,3] => [3,1,2,4,5] => 0011 => [3,1,1]
[2,2,1,3,2] => [3,1,2,4,5] => 0011 => [3,1,1]
[2,2,2,1,3] => [4,1,2,3,5] => 0001 => [4,1]
[2,2,2,3,1] => [5,1,2,3,4] => 0000 => [5]
[2,2,3,1,2] => [4,1,2,3,5] => 0001 => [4,1]
[2,2,3,2,1] => [5,1,2,3,4] => 0000 => [5]
[2,3,1,2,2] => [3,1,2,4,5] => 0011 => [3,1,1]
[2,3,2,1,2] => [4,1,2,3,5] => 0001 => [4,1]
[2,3,2,2,1] => [5,1,2,3,4] => 0000 => [5]
[3,1,2,2,2] => [2,3,1,4,5] => 0011 => [3,1,1]
[3,2,1,2,2] => [3,2,1,4,5] => 0011 => [3,1,1]
[3,2,2,1,2] => [4,2,1,3,5] => 0001 => [4,1]
[3,2,2,2,1] => [5,2,1,3,4] => 0000 => [5]
[1,2,2,2,4] => [1,2,3,4,5] => 1111 => [1,1,1,1,1]
[1,2,2,4,2] => [1,2,3,4,5] => 1111 => [1,1,1,1,1]
[1,2,4,2,2] => [1,2,4,3,5] => 1101 => [1,1,2,1]
[1,4,2,2,2] => [1,3,4,2,5] => 1001 => [1,3,1]
[2,1,2,2,4] => [2,1,3,4,5] => 0111 => [2,1,1,1]
[2,1,2,4,2] => [2,1,3,4,5] => 0111 => [2,1,1,1]
[2,1,4,2,2] => [2,1,4,3,5] => 0101 => [2,2,1]
[2,2,1,2,4] => [3,1,2,4,5] => 0011 => [3,1,1]
[2,2,1,4,2] => [3,1,2,4,5] => 0011 => [3,1,1]
[2,2,2,1,4] => [4,1,2,3,5] => 0001 => [4,1]
[2,2,2,4,1] => [5,1,2,3,4] => 0000 => [5]
[2,2,4,1,2] => [4,1,2,3,5] => 0001 => [4,1]
[2,2,4,2,1] => [5,1,2,3,4] => 0000 => [5]
[2,4,1,2,2] => [3,1,4,2,5] => 0001 => [4,1]
[2,4,2,1,2] => [4,1,3,2,5] => 0001 => [4,1]
[2,4,2,2,1] => [5,1,3,2,4] => 0000 => [5]
[4,1,2,2,2] => [2,3,4,1,5] => 0001 => [4,1]
[4,2,1,2,2] => [3,2,4,1,5] => 0001 => [4,1]
[4,2,2,1,2] => [4,2,3,1,5] => 0001 => [4,1]
[4,2,2,2,1] => [5,2,3,1,4] => 0000 => [5]
[1,2,2,2,5] => [1,2,3,4,5] => 1111 => [1,1,1,1,1]
[1,2,2,5,2] => [1,2,3,5,4] => 1110 => [1,1,1,2]
[1,2,5,2,2] => [1,2,4,5,3] => 1100 => [1,1,3]
[1,5,2,2,2] => [1,3,4,5,2] => 1000 => [1,4]
[2,1,2,2,5] => [2,1,3,4,5] => 0111 => [2,1,1,1]
[2,1,2,5,2] => [2,1,3,5,4] => 0110 => [2,1,2]
[2,1,5,2,2] => [2,1,4,5,3] => 0100 => [2,3]
[2,2,1,2,5] => [3,1,2,4,5] => 0011 => [3,1,1]
[2,2,1,5,2] => [3,1,2,5,4] => 0010 => [3,2]
[2,2,2,1,5] => [4,1,2,3,5] => 0001 => [4,1]
[2,2,2,5,1] => [5,1,2,3,4] => 0000 => [5]
[2,2,5,1,2] => [4,1,2,5,3] => 0000 => [5]
[2,2,5,2,1] => [5,1,2,4,3] => 0000 => [5]
[2,5,1,2,2] => [3,1,4,5,2] => 0000 => [5]
[2,5,2,1,2] => [4,1,3,5,2] => 0000 => [5]
[2,5,2,2,1] => [5,1,3,4,2] => 0000 => [5]
[5,1,2,2,2] => [2,3,4,5,1] => 0000 => [5]
[5,2,1,2,2] => [3,2,4,5,1] => 0000 => [5]
[5,2,2,1,2] => [4,2,3,5,1] => 0000 => [5]
[5,2,2,2,1] => [5,2,3,4,1] => 0000 => [5]
[1,2,2,3,3] => [1,2,3,4,5] => 1111 => [1,1,1,1,1]
[1,2,3,2,3] => [1,2,3,4,5] => 1111 => [1,1,1,1,1]
[1,2,3,3,2] => [1,2,3,4,5] => 1111 => [1,1,1,1,1]
[1,3,2,2,3] => [1,3,2,4,5] => 1011 => [1,2,1,1]
[1,3,2,3,2] => [1,3,2,4,5] => 1011 => [1,2,1,1]
[1,3,3,2,2] => [1,4,2,3,5] => 1001 => [1,3,1]
[2,1,2,3,3] => [2,1,3,4,5] => 0111 => [2,1,1,1]
[2,1,3,2,3] => [2,1,3,4,5] => 0111 => [2,1,1,1]
[2,1,3,3,2] => [2,1,3,4,5] => 0111 => [2,1,1,1]
[2,2,1,3,3] => [3,1,2,4,5] => 0011 => [3,1,1]
[2,2,3,1,3] => [4,1,2,3,5] => 0001 => [4,1]
[2,2,3,3,1] => [5,1,2,3,4] => 0000 => [5]
[2,3,1,2,3] => [3,1,2,4,5] => 0011 => [3,1,1]
[2,3,1,3,2] => [3,1,2,4,5] => 0011 => [3,1,1]
[2,3,2,1,3] => [4,1,2,3,5] => 0001 => [4,1]
[2,3,2,3,1] => [5,1,2,3,4] => 0000 => [5]
[2,3,3,1,2] => [4,1,2,3,5] => 0001 => [4,1]
[2,3,3,2,1] => [5,1,2,3,4] => 0000 => [5]
[3,1,2,2,3] => [2,3,1,4,5] => 0011 => [3,1,1]
[3,1,2,3,2] => [2,3,1,4,5] => 0011 => [3,1,1]
[3,1,3,2,2] => [2,4,1,3,5] => 0001 => [4,1]
[3,2,1,2,3] => [3,2,1,4,5] => 0011 => [3,1,1]
[3,2,1,3,2] => [3,2,1,4,5] => 0011 => [3,1,1]
[3,2,2,1,3] => [4,2,1,3,5] => 0001 => [4,1]
[3,2,2,3,1] => [5,2,1,3,4] => 0000 => [5]
[3,2,3,1,2] => [4,2,1,3,5] => 0001 => [4,1]
[3,2,3,2,1] => [5,2,1,3,4] => 0000 => [5]
[3,3,1,2,2] => [3,4,1,2,5] => 0001 => [4,1]
[3,3,2,1,2] => [4,3,1,2,5] => 0001 => [4,1]
[3,3,2,2,1] => [5,3,1,2,4] => 0000 => [5]
[1,2,2,3,4] => [1,2,3,4,5] => 1111 => [1,1,1,1,1]
[1,2,2,4,3] => [1,2,3,4,5] => 1111 => [1,1,1,1,1]
[1,2,3,2,4] => [1,2,3,4,5] => 1111 => [1,1,1,1,1]
[1,2,3,4,2] => [1,2,3,4,5] => 1111 => [1,1,1,1,1]
[1,2,4,2,3] => [1,2,4,3,5] => 1101 => [1,1,2,1]
[1,2,4,3,2] => [1,2,4,3,5] => 1101 => [1,1,2,1]
[1,3,2,2,4] => [1,3,2,4,5] => 1011 => [1,2,1,1]
[1,3,2,4,2] => [1,3,2,4,5] => 1011 => [1,2,1,1]
[1,3,4,2,2] => [1,4,2,3,5] => 1001 => [1,3,1]
[1,4,2,2,3] => [1,3,4,2,5] => 1001 => [1,3,1]
[1,4,2,3,2] => [1,3,4,2,5] => 1001 => [1,3,1]
[1,4,3,2,2] => [1,4,3,2,5] => 1001 => [1,3,1]
[2,1,2,3,4] => [2,1,3,4,5] => 0111 => [2,1,1,1]
[2,1,2,4,3] => [2,1,3,4,5] => 0111 => [2,1,1,1]
[2,1,3,2,4] => [2,1,3,4,5] => 0111 => [2,1,1,1]
[2,1,3,4,2] => [2,1,3,4,5] => 0111 => [2,1,1,1]
[2,1,4,2,3] => [2,1,4,3,5] => 0101 => [2,2,1]
[2,1,4,3,2] => [2,1,4,3,5] => 0101 => [2,2,1]
[2,2,1,3,4] => [3,1,2,4,5] => 0011 => [3,1,1]
[2,2,1,4,3] => [3,1,2,4,5] => 0011 => [3,1,1]
[2,2,3,1,4] => [4,1,2,3,5] => 0001 => [4,1]
[2,2,3,4,1] => [5,1,2,3,4] => 0000 => [5]
[2,2,4,1,3] => [4,1,2,3,5] => 0001 => [4,1]
[2,2,4,3,1] => [5,1,2,3,4] => 0000 => [5]
[2,3,1,2,4] => [3,1,2,4,5] => 0011 => [3,1,1]
[2,3,1,4,2] => [3,1,2,4,5] => 0011 => [3,1,1]
[2,3,2,1,4] => [4,1,2,3,5] => 0001 => [4,1]
[2,3,2,4,1] => [5,1,2,3,4] => 0000 => [5]
[2,3,4,1,2] => [4,1,2,3,5] => 0001 => [4,1]
[2,3,4,2,1] => [5,1,2,3,4] => 0000 => [5]
[2,4,1,2,3] => [3,1,4,2,5] => 0001 => [4,1]
[2,4,1,3,2] => [3,1,4,2,5] => 0001 => [4,1]
[2,4,2,1,3] => [4,1,3,2,5] => 0001 => [4,1]
[2,4,2,3,1] => [5,1,3,2,4] => 0000 => [5]
[2,4,3,1,2] => [4,1,3,2,5] => 0001 => [4,1]
[2,4,3,2,1] => [5,1,3,2,4] => 0000 => [5]
[3,1,2,2,4] => [2,3,1,4,5] => 0011 => [3,1,1]
[3,1,2,4,2] => [2,3,1,4,5] => 0011 => [3,1,1]
[3,1,4,2,2] => [2,4,1,3,5] => 0001 => [4,1]
[3,2,1,2,4] => [3,2,1,4,5] => 0011 => [3,1,1]
[3,2,1,4,2] => [3,2,1,4,5] => 0011 => [3,1,1]
[3,2,2,1,4] => [4,2,1,3,5] => 0001 => [4,1]
[3,2,2,4,1] => [5,2,1,3,4] => 0000 => [5]
[3,2,4,1,2] => [4,2,1,3,5] => 0001 => [4,1]
[3,2,4,2,1] => [5,2,1,3,4] => 0000 => [5]
[3,4,1,2,2] => [3,4,1,2,5] => 0001 => [4,1]
[3,4,2,1,2] => [4,3,1,2,5] => 0001 => [4,1]
[3,4,2,2,1] => [5,3,1,2,4] => 0000 => [5]
[4,1,2,2,3] => [2,3,4,1,5] => 0001 => [4,1]
[4,1,2,3,2] => [2,3,4,1,5] => 0001 => [4,1]
[4,1,3,2,2] => [2,4,3,1,5] => 0001 => [4,1]
[4,2,1,2,3] => [3,2,4,1,5] => 0001 => [4,1]
[4,2,1,3,2] => [3,2,4,1,5] => 0001 => [4,1]
[4,2,2,1,3] => [4,2,3,1,5] => 0001 => [4,1]
[4,2,2,3,1] => [5,2,3,1,4] => 0000 => [5]
[4,2,3,1,2] => [4,2,3,1,5] => 0001 => [4,1]
[4,2,3,2,1] => [5,2,3,1,4] => 0000 => [5]
[4,3,1,2,2] => [3,4,2,1,5] => 0001 => [4,1]
[4,3,2,1,2] => [4,3,2,1,5] => 0001 => [4,1]
[4,3,2,2,1] => [5,3,2,1,4] => 0000 => [5]
[1,2,2,3,5] => [1,2,3,4,5] => 1111 => [1,1,1,1,1]
[1,2,2,5,3] => [1,2,3,5,4] => 1110 => [1,1,1,2]
[1,2,3,2,5] => [1,2,3,4,5] => 1111 => [1,1,1,1,1]
[1,2,3,5,2] => [1,2,3,5,4] => 1110 => [1,1,1,2]
[1,2,5,2,3] => [1,2,4,5,3] => 1100 => [1,1,3]
[1,2,5,3,2] => [1,2,4,5,3] => 1100 => [1,1,3]
[1,3,2,2,5] => [1,3,2,4,5] => 1011 => [1,2,1,1]
[1,3,2,5,2] => [1,3,2,5,4] => 1010 => [1,2,2]
[1,3,5,2,2] => [1,4,2,5,3] => 1000 => [1,4]
[1,5,2,2,3] => [1,3,4,5,2] => 1000 => [1,4]
[1,5,2,3,2] => [1,3,4,5,2] => 1000 => [1,4]
[1,5,3,2,2] => [1,4,3,5,2] => 1000 => [1,4]
[2,1,2,3,5] => [2,1,3,4,5] => 0111 => [2,1,1,1]
[2,1,2,5,3] => [2,1,3,5,4] => 0110 => [2,1,2]
[2,1,3,2,5] => [2,1,3,4,5] => 0111 => [2,1,1,1]
[2,1,3,5,2] => [2,1,3,5,4] => 0110 => [2,1,2]
[2,1,5,2,3] => [2,1,4,5,3] => 0100 => [2,3]
[2,1,5,3,2] => [2,1,4,5,3] => 0100 => [2,3]
[2,2,1,3,5] => [3,1,2,4,5] => 0011 => [3,1,1]
[2,2,1,5,3] => [3,1,2,5,4] => 0010 => [3,2]
[2,2,3,1,5] => [4,1,2,3,5] => 0001 => [4,1]
[2,2,3,5,1] => [5,1,2,3,4] => 0000 => [5]
[2,2,5,1,3] => [4,1,2,5,3] => 0000 => [5]
[2,2,5,3,1] => [5,1,2,4,3] => 0000 => [5]
[2,3,1,2,5] => [3,1,2,4,5] => 0011 => [3,1,1]
[2,3,1,5,2] => [3,1,2,5,4] => 0010 => [3,2]
[2,3,2,1,5] => [4,1,2,3,5] => 0001 => [4,1]
[2,3,2,5,1] => [5,1,2,3,4] => 0000 => [5]
[2,3,5,1,2] => [4,1,2,5,3] => 0000 => [5]
[2,3,5,2,1] => [5,1,2,4,3] => 0000 => [5]
[2,5,1,2,3] => [3,1,4,5,2] => 0000 => [5]
[2,5,1,3,2] => [3,1,4,5,2] => 0000 => [5]
[2,5,2,1,3] => [4,1,3,5,2] => 0000 => [5]
[2,5,2,3,1] => [5,1,3,4,2] => 0000 => [5]
[2,5,3,1,2] => [4,1,3,5,2] => 0000 => [5]
[2,5,3,2,1] => [5,1,3,4,2] => 0000 => [5]
[3,1,2,2,5] => [2,3,1,4,5] => 0011 => [3,1,1]
[3,1,2,5,2] => [2,3,1,5,4] => 0010 => [3,2]
[3,1,5,2,2] => [2,4,1,5,3] => 0000 => [5]
[3,2,1,2,5] => [3,2,1,4,5] => 0011 => [3,1,1]
[3,2,1,5,2] => [3,2,1,5,4] => 0010 => [3,2]
[3,2,2,1,5] => [4,2,1,3,5] => 0001 => [4,1]
[3,2,2,5,1] => [5,2,1,3,4] => 0000 => [5]
[3,2,5,1,2] => [4,2,1,5,3] => 0000 => [5]
[3,2,5,2,1] => [5,2,1,4,3] => 0000 => [5]
[3,5,1,2,2] => [3,4,1,5,2] => 0000 => [5]
[3,5,2,1,2] => [4,3,1,5,2] => 0000 => [5]
[3,5,2,2,1] => [5,3,1,4,2] => 0000 => [5]
[5,1,2,2,3] => [2,3,4,5,1] => 0000 => [5]
[5,1,2,3,2] => [2,3,4,5,1] => 0000 => [5]
[5,1,3,2,2] => [2,4,3,5,1] => 0000 => [5]
[5,2,1,2,3] => [3,2,4,5,1] => 0000 => [5]
[5,2,1,3,2] => [3,2,4,5,1] => 0000 => [5]
[5,2,2,1,3] => [4,2,3,5,1] => 0000 => [5]
[5,2,2,3,1] => [5,2,3,4,1] => 0000 => [5]
[5,2,3,1,2] => [4,2,3,5,1] => 0000 => [5]
[5,2,3,2,1] => [5,2,3,4,1] => 0000 => [5]
[5,3,1,2,2] => [3,4,2,5,1] => 0000 => [5]
[5,3,2,1,2] => [4,3,2,5,1] => 0000 => [5]
[5,3,2,2,1] => [5,3,2,4,1] => 0000 => [5]
[1,2,2,4,4] => [1,2,3,4,5] => 1111 => [1,1,1,1,1]
[1,2,4,2,4] => [1,2,4,3,5] => 1101 => [1,1,2,1]
[1,2,4,4,2] => [1,2,5,3,4] => 1100 => [1,1,3]
[1,4,2,2,4] => [1,3,4,2,5] => 1001 => [1,3,1]
[1,4,2,4,2] => [1,3,5,2,4] => 1000 => [1,4]
[1,4,4,2,2] => [1,4,5,2,3] => 1000 => [1,4]
[2,1,2,4,4] => [2,1,3,4,5] => 0111 => [2,1,1,1]
[2,1,4,2,4] => [2,1,4,3,5] => 0101 => [2,2,1]
[2,1,4,4,2] => [2,1,5,3,4] => 0100 => [2,3]
[2,2,1,4,4] => [3,1,2,4,5] => 0011 => [3,1,1]
[2,2,4,1,4] => [4,1,2,3,5] => 0001 => [4,1]
[2,2,4,4,1] => [5,1,2,3,4] => 0000 => [5]
[2,4,1,2,4] => [3,1,4,2,5] => 0001 => [4,1]
[2,4,1,4,2] => [3,1,5,2,4] => 0000 => [5]
[2,4,2,1,4] => [4,1,3,2,5] => 0001 => [4,1]
[2,4,2,4,1] => [5,1,3,2,4] => 0000 => [5]
[2,4,4,1,2] => [4,1,5,2,3] => 0000 => [5]
[2,4,4,2,1] => [5,1,4,2,3] => 0000 => [5]
[4,1,2,2,4] => [2,3,4,1,5] => 0001 => [4,1]
[4,1,2,4,2] => [2,3,5,1,4] => 0000 => [5]
[4,1,4,2,2] => [2,4,5,1,3] => 0000 => [5]
[4,2,1,2,4] => [3,2,4,1,5] => 0001 => [4,1]
[4,2,1,4,2] => [3,2,5,1,4] => 0000 => [5]
[4,2,2,1,4] => [4,2,3,1,5] => 0001 => [4,1]
[4,2,2,4,1] => [5,2,3,1,4] => 0000 => [5]
[4,2,4,1,2] => [4,2,5,1,3] => 0000 => [5]
[4,2,4,2,1] => [5,2,4,1,3] => 0000 => [5]
[4,4,1,2,2] => [3,4,5,1,2] => 0000 => [5]
[4,4,2,1,2] => [4,3,5,1,2] => 0000 => [5]
[4,4,2,2,1] => [5,3,4,1,2] => 0000 => [5]
[1,2,2,4,5] => [1,2,3,4,5] => 1111 => [1,1,1,1,1]
[1,2,2,5,4] => [1,2,3,5,4] => 1110 => [1,1,1,2]
[1,2,4,2,5] => [1,2,4,3,5] => 1101 => [1,1,2,1]
[1,2,4,5,2] => [1,2,5,3,4] => 1100 => [1,1,3]
[1,2,5,2,4] => [1,2,4,5,3] => 1100 => [1,1,3]
[1,2,5,4,2] => [1,2,5,4,3] => 1100 => [1,1,3]
[1,4,2,2,5] => [1,3,4,2,5] => 1001 => [1,3,1]
[1,4,2,5,2] => [1,3,5,2,4] => 1000 => [1,4]
[1,4,5,2,2] => [1,4,5,2,3] => 1000 => [1,4]
[1,5,2,2,4] => [1,3,4,5,2] => 1000 => [1,4]
[1,5,2,4,2] => [1,3,5,4,2] => 1000 => [1,4]
[1,5,4,2,2] => [1,4,5,3,2] => 1000 => [1,4]
[2,1,2,4,5] => [2,1,3,4,5] => 0111 => [2,1,1,1]
[2,1,2,5,4] => [2,1,3,5,4] => 0110 => [2,1,2]
[2,1,4,2,5] => [2,1,4,3,5] => 0101 => [2,2,1]
[2,1,4,5,2] => [2,1,5,3,4] => 0100 => [2,3]
[2,1,5,2,4] => [2,1,4,5,3] => 0100 => [2,3]
[2,1,5,4,2] => [2,1,5,4,3] => 0100 => [2,3]
[2,2,1,4,5] => [3,1,2,4,5] => 0011 => [3,1,1]
[2,2,1,5,4] => [3,1,2,5,4] => 0010 => [3,2]
[2,2,4,1,5] => [4,1,2,3,5] => 0001 => [4,1]
[2,2,4,5,1] => [5,1,2,3,4] => 0000 => [5]
[2,2,5,1,4] => [4,1,2,5,3] => 0000 => [5]
[2,2,5,4,1] => [5,1,2,4,3] => 0000 => [5]
[2,4,1,2,5] => [3,1,4,2,5] => 0001 => [4,1]
[2,4,1,5,2] => [3,1,5,2,4] => 0000 => [5]
[2,4,2,1,5] => [4,1,3,2,5] => 0001 => [4,1]
[2,4,2,5,1] => [5,1,3,2,4] => 0000 => [5]
[2,4,5,1,2] => [4,1,5,2,3] => 0000 => [5]
[2,4,5,2,1] => [5,1,4,2,3] => 0000 => [5]
[2,5,1,2,4] => [3,1,4,5,2] => 0000 => [5]
[2,5,1,4,2] => [3,1,5,4,2] => 0000 => [5]
[2,5,2,1,4] => [4,1,3,5,2] => 0000 => [5]
[2,5,2,4,1] => [5,1,3,4,2] => 0000 => [5]
[2,5,4,1,2] => [4,1,5,3,2] => 0000 => [5]
[2,5,4,2,1] => [5,1,4,3,2] => 0000 => [5]
[4,1,2,2,5] => [2,3,4,1,5] => 0001 => [4,1]
[4,1,2,5,2] => [2,3,5,1,4] => 0000 => [5]
[4,1,5,2,2] => [2,4,5,1,3] => 0000 => [5]
[4,2,1,2,5] => [3,2,4,1,5] => 0001 => [4,1]
[4,2,1,5,2] => [3,2,5,1,4] => 0000 => [5]
[4,2,2,1,5] => [4,2,3,1,5] => 0001 => [4,1]
[4,2,2,5,1] => [5,2,3,1,4] => 0000 => [5]
[4,2,5,1,2] => [4,2,5,1,3] => 0000 => [5]
[4,2,5,2,1] => [5,2,4,1,3] => 0000 => [5]
[4,5,1,2,2] => [3,4,5,1,2] => 0000 => [5]
[4,5,2,1,2] => [4,3,5,1,2] => 0000 => [5]
[4,5,2,2,1] => [5,3,4,1,2] => 0000 => [5]
[5,1,2,2,4] => [2,3,4,5,1] => 0000 => [5]
[5,1,2,4,2] => [2,3,5,4,1] => 0000 => [5]
[5,1,4,2,2] => [2,4,5,3,1] => 0000 => [5]
[5,2,1,2,4] => [3,2,4,5,1] => 0000 => [5]
[5,2,1,4,2] => [3,2,5,4,1] => 0000 => [5]
[5,2,2,1,4] => [4,2,3,5,1] => 0000 => [5]
[5,2,2,4,1] => [5,2,3,4,1] => 0000 => [5]
[5,2,4,1,2] => [4,2,5,3,1] => 0000 => [5]
[5,2,4,2,1] => [5,2,4,3,1] => 0000 => [5]
[5,4,1,2,2] => [3,4,5,2,1] => 0000 => [5]
[5,4,2,1,2] => [4,3,5,2,1] => 0000 => [5]
[5,4,2,2,1] => [5,3,4,2,1] => 0000 => [5]
[1,2,3,3,3] => [1,2,3,4,5] => 1111 => [1,1,1,1,1]
[1,3,2,3,3] => [1,3,2,4,5] => 1011 => [1,2,1,1]
[1,3,3,2,3] => [1,4,2,3,5] => 1001 => [1,3,1]
[1,3,3,3,2] => [1,5,2,3,4] => 1000 => [1,4]
[2,1,3,3,3] => [2,1,3,4,5] => 0111 => [2,1,1,1]
[2,3,1,3,3] => [3,1,2,4,5] => 0011 => [3,1,1]
[2,3,3,1,3] => [4,1,2,3,5] => 0001 => [4,1]
[2,3,3,3,1] => [5,1,2,3,4] => 0000 => [5]
[3,1,2,3,3] => [2,3,1,4,5] => 0011 => [3,1,1]
[3,1,3,2,3] => [2,4,1,3,5] => 0001 => [4,1]
[3,1,3,3,2] => [2,5,1,3,4] => 0000 => [5]
[3,2,1,3,3] => [3,2,1,4,5] => 0011 => [3,1,1]
[3,2,3,1,3] => [4,2,1,3,5] => 0001 => [4,1]
[3,2,3,3,1] => [5,2,1,3,4] => 0000 => [5]
[3,3,1,2,3] => [3,4,1,2,5] => 0001 => [4,1]
[3,3,1,3,2] => [3,5,1,2,4] => 0000 => [5]
[3,3,2,1,3] => [4,3,1,2,5] => 0001 => [4,1]
[3,3,2,3,1] => [5,3,1,2,4] => 0000 => [5]
[3,3,3,1,2] => [4,5,1,2,3] => 0000 => [5]
[3,3,3,2,1] => [5,4,1,2,3] => 0000 => [5]
[1,2,3,3,4] => [1,2,3,4,5] => 1111 => [1,1,1,1,1]
[1,2,3,4,3] => [1,2,3,4,5] => 1111 => [1,1,1,1,1]
[1,2,4,3,3] => [1,2,4,3,5] => 1101 => [1,1,2,1]
[1,3,2,3,4] => [1,3,2,4,5] => 1011 => [1,2,1,1]
[1,3,2,4,3] => [1,3,2,4,5] => 1011 => [1,2,1,1]
[1,3,3,2,4] => [1,4,2,3,5] => 1001 => [1,3,1]
[1,3,3,4,2] => [1,5,2,3,4] => 1000 => [1,4]
[1,3,4,2,3] => [1,4,2,3,5] => 1001 => [1,3,1]
[1,3,4,3,2] => [1,5,2,3,4] => 1000 => [1,4]
[1,4,2,3,3] => [1,3,4,2,5] => 1001 => [1,3,1]
[1,4,3,2,3] => [1,4,3,2,5] => 1001 => [1,3,1]
[1,4,3,3,2] => [1,5,3,2,4] => 1000 => [1,4]
[2,1,3,3,4] => [2,1,3,4,5] => 0111 => [2,1,1,1]
[2,1,3,4,3] => [2,1,3,4,5] => 0111 => [2,1,1,1]
[2,1,4,3,3] => [2,1,4,3,5] => 0101 => [2,2,1]
[2,3,1,3,4] => [3,1,2,4,5] => 0011 => [3,1,1]
[2,3,1,4,3] => [3,1,2,4,5] => 0011 => [3,1,1]
[2,3,3,1,4] => [4,1,2,3,5] => 0001 => [4,1]
[2,3,3,4,1] => [5,1,2,3,4] => 0000 => [5]
[2,3,4,1,3] => [4,1,2,3,5] => 0001 => [4,1]
[2,3,4,3,1] => [5,1,2,3,4] => 0000 => [5]
[2,4,1,3,3] => [3,1,4,2,5] => 0001 => [4,1]
[2,4,3,1,3] => [4,1,3,2,5] => 0001 => [4,1]
[2,4,3,3,1] => [5,1,3,2,4] => 0000 => [5]
[3,1,2,3,4] => [2,3,1,4,5] => 0011 => [3,1,1]
[3,1,2,4,3] => [2,3,1,4,5] => 0011 => [3,1,1]
[3,1,3,2,4] => [2,4,1,3,5] => 0001 => [4,1]
[3,1,3,4,2] => [2,5,1,3,4] => 0000 => [5]
[3,1,4,2,3] => [2,4,1,3,5] => 0001 => [4,1]
[3,1,4,3,2] => [2,5,1,3,4] => 0000 => [5]
[3,2,1,3,4] => [3,2,1,4,5] => 0011 => [3,1,1]
[3,2,1,4,3] => [3,2,1,4,5] => 0011 => [3,1,1]
[3,2,3,1,4] => [4,2,1,3,5] => 0001 => [4,1]
[3,2,3,4,1] => [5,2,1,3,4] => 0000 => [5]
[3,2,4,1,3] => [4,2,1,3,5] => 0001 => [4,1]
[3,2,4,3,1] => [5,2,1,3,4] => 0000 => [5]
[3,3,1,2,4] => [3,4,1,2,5] => 0001 => [4,1]
[3,3,1,4,2] => [3,5,1,2,4] => 0000 => [5]
[3,3,2,1,4] => [4,3,1,2,5] => 0001 => [4,1]
[3,3,2,4,1] => [5,3,1,2,4] => 0000 => [5]
[3,3,4,1,2] => [4,5,1,2,3] => 0000 => [5]
[3,3,4,2,1] => [5,4,1,2,3] => 0000 => [5]
[3,4,1,2,3] => [3,4,1,2,5] => 0001 => [4,1]
[3,4,1,3,2] => [3,5,1,2,4] => 0000 => [5]
[3,4,2,1,3] => [4,3,1,2,5] => 0001 => [4,1]
[3,4,2,3,1] => [5,3,1,2,4] => 0000 => [5]
[3,4,3,1,2] => [4,5,1,2,3] => 0000 => [5]
[3,4,3,2,1] => [5,4,1,2,3] => 0000 => [5]
[4,1,2,3,3] => [2,3,4,1,5] => 0001 => [4,1]
[4,1,3,2,3] => [2,4,3,1,5] => 0001 => [4,1]
[4,1,3,3,2] => [2,5,3,1,4] => 0000 => [5]
[4,2,1,3,3] => [3,2,4,1,5] => 0001 => [4,1]
[4,2,3,1,3] => [4,2,3,1,5] => 0001 => [4,1]
[4,2,3,3,1] => [5,2,3,1,4] => 0000 => [5]
[4,3,1,2,3] => [3,4,2,1,5] => 0001 => [4,1]
[4,3,1,3,2] => [3,5,2,1,4] => 0000 => [5]
[4,3,2,1,3] => [4,3,2,1,5] => 0001 => [4,1]
[4,3,2,3,1] => [5,3,2,1,4] => 0000 => [5]
[4,3,3,1,2] => [4,5,2,1,3] => 0000 => [5]
[4,3,3,2,1] => [5,4,2,1,3] => 0000 => [5]
[1,2,3,3,5] => [1,2,3,4,5] => 1111 => [1,1,1,1,1]
[1,2,3,5,3] => [1,2,3,5,4] => 1110 => [1,1,1,2]
[1,2,5,3,3] => [1,2,4,5,3] => 1100 => [1,1,3]
[1,3,2,3,5] => [1,3,2,4,5] => 1011 => [1,2,1,1]
[1,3,2,5,3] => [1,3,2,5,4] => 1010 => [1,2,2]
[1,3,3,2,5] => [1,4,2,3,5] => 1001 => [1,3,1]
[1,3,3,5,2] => [1,5,2,3,4] => 1000 => [1,4]
[1,3,5,2,3] => [1,4,2,5,3] => 1000 => [1,4]
[1,3,5,3,2] => [1,5,2,4,3] => 1000 => [1,4]
[1,5,2,3,3] => [1,3,4,5,2] => 1000 => [1,4]
[1,5,3,2,3] => [1,4,3,5,2] => 1000 => [1,4]
[1,5,3,3,2] => [1,5,3,4,2] => 1000 => [1,4]
[2,1,3,3,5] => [2,1,3,4,5] => 0111 => [2,1,1,1]
[2,1,3,5,3] => [2,1,3,5,4] => 0110 => [2,1,2]
[2,1,5,3,3] => [2,1,4,5,3] => 0100 => [2,3]
[2,3,1,3,5] => [3,1,2,4,5] => 0011 => [3,1,1]
[2,3,1,5,3] => [3,1,2,5,4] => 0010 => [3,2]
[2,3,3,1,5] => [4,1,2,3,5] => 0001 => [4,1]
[2,3,3,5,1] => [5,1,2,3,4] => 0000 => [5]
[2,3,5,1,3] => [4,1,2,5,3] => 0000 => [5]
[2,3,5,3,1] => [5,1,2,4,3] => 0000 => [5]
[2,5,1,3,3] => [3,1,4,5,2] => 0000 => [5]
[2,5,3,1,3] => [4,1,3,5,2] => 0000 => [5]
[2,5,3,3,1] => [5,1,3,4,2] => 0000 => [5]
[3,1,2,3,5] => [2,3,1,4,5] => 0011 => [3,1,1]
[3,1,2,5,3] => [2,3,1,5,4] => 0010 => [3,2]
[3,1,3,2,5] => [2,4,1,3,5] => 0001 => [4,1]
[3,1,3,5,2] => [2,5,1,3,4] => 0000 => [5]
[3,1,5,2,3] => [2,4,1,5,3] => 0000 => [5]
[3,1,5,3,2] => [2,5,1,4,3] => 0000 => [5]
[3,2,1,3,5] => [3,2,1,4,5] => 0011 => [3,1,1]
[3,2,1,5,3] => [3,2,1,5,4] => 0010 => [3,2]
[3,2,3,1,5] => [4,2,1,3,5] => 0001 => [4,1]
[3,2,3,5,1] => [5,2,1,3,4] => 0000 => [5]
[3,2,5,1,3] => [4,2,1,5,3] => 0000 => [5]
[3,2,5,3,1] => [5,2,1,4,3] => 0000 => [5]
[3,3,1,2,5] => [3,4,1,2,5] => 0001 => [4,1]
[3,3,1,5,2] => [3,5,1,2,4] => 0000 => [5]
[3,3,2,1,5] => [4,3,1,2,5] => 0001 => [4,1]
[3,3,2,5,1] => [5,3,1,2,4] => 0000 => [5]
[3,3,5,1,2] => [4,5,1,2,3] => 0000 => [5]
[3,3,5,2,1] => [5,4,1,2,3] => 0000 => [5]
[3,5,1,2,3] => [3,4,1,5,2] => 0000 => [5]
[3,5,1,3,2] => [3,5,1,4,2] => 0000 => [5]
[3,5,2,1,3] => [4,3,1,5,2] => 0000 => [5]
[3,5,2,3,1] => [5,3,1,4,2] => 0000 => [5]
[3,5,3,1,2] => [4,5,1,3,2] => 0000 => [5]
[3,5,3,2,1] => [5,4,1,3,2] => 0000 => [5]
[5,1,2,3,3] => [2,3,4,5,1] => 0000 => [5]
[5,1,3,2,3] => [2,4,3,5,1] => 0000 => [5]
[5,1,3,3,2] => [2,5,3,4,1] => 0000 => [5]
[5,2,1,3,3] => [3,2,4,5,1] => 0000 => [5]
[5,2,3,1,3] => [4,2,3,5,1] => 0000 => [5]
[5,2,3,3,1] => [5,2,3,4,1] => 0000 => [5]
[5,3,1,2,3] => [3,4,2,5,1] => 0000 => [5]
[5,3,1,3,2] => [3,5,2,4,1] => 0000 => [5]
[5,3,2,1,3] => [4,3,2,5,1] => 0000 => [5]
[5,3,2,3,1] => [5,3,2,4,1] => 0000 => [5]
[5,3,3,1,2] => [4,5,2,3,1] => 0000 => [5]
[5,3,3,2,1] => [5,4,2,3,1] => 0000 => [5]
[1,2,3,4,4] => [1,2,3,4,5] => 1111 => [1,1,1,1,1]
[1,2,4,3,4] => [1,2,4,3,5] => 1101 => [1,1,2,1]
[1,2,4,4,3] => [1,2,5,3,4] => 1100 => [1,1,3]
[1,3,2,4,4] => [1,3,2,4,5] => 1011 => [1,2,1,1]
[1,3,4,2,4] => [1,4,2,3,5] => 1001 => [1,3,1]
[1,3,4,4,2] => [1,5,2,3,4] => 1000 => [1,4]
[1,4,2,3,4] => [1,3,4,2,5] => 1001 => [1,3,1]
[1,4,2,4,3] => [1,3,5,2,4] => 1000 => [1,4]
[1,4,3,2,4] => [1,4,3,2,5] => 1001 => [1,3,1]
[1,4,3,4,2] => [1,5,3,2,4] => 1000 => [1,4]
[1,4,4,2,3] => [1,4,5,2,3] => 1000 => [1,4]
[1,4,4,3,2] => [1,5,4,2,3] => 1000 => [1,4]
[2,1,3,4,4] => [2,1,3,4,5] => 0111 => [2,1,1,1]
[2,1,4,3,4] => [2,1,4,3,5] => 0101 => [2,2,1]
[2,1,4,4,3] => [2,1,5,3,4] => 0100 => [2,3]
[2,3,1,4,4] => [3,1,2,4,5] => 0011 => [3,1,1]
[2,3,4,1,4] => [4,1,2,3,5] => 0001 => [4,1]
[2,3,4,4,1] => [5,1,2,3,4] => 0000 => [5]
[2,4,1,3,4] => [3,1,4,2,5] => 0001 => [4,1]
[2,4,1,4,3] => [3,1,5,2,4] => 0000 => [5]
[2,4,3,1,4] => [4,1,3,2,5] => 0001 => [4,1]
[2,4,3,4,1] => [5,1,3,2,4] => 0000 => [5]
[2,4,4,1,3] => [4,1,5,2,3] => 0000 => [5]
[2,4,4,3,1] => [5,1,4,2,3] => 0000 => [5]
[3,1,2,4,4] => [2,3,1,4,5] => 0011 => [3,1,1]
[3,1,4,2,4] => [2,4,1,3,5] => 0001 => [4,1]
[3,1,4,4,2] => [2,5,1,3,4] => 0000 => [5]
[3,2,1,4,4] => [3,2,1,4,5] => 0011 => [3,1,1]
[3,2,4,1,4] => [4,2,1,3,5] => 0001 => [4,1]
[3,2,4,4,1] => [5,2,1,3,4] => 0000 => [5]
[3,4,1,2,4] => [3,4,1,2,5] => 0001 => [4,1]
[3,4,1,4,2] => [3,5,1,2,4] => 0000 => [5]
[3,4,2,1,4] => [4,3,1,2,5] => 0001 => [4,1]
[3,4,2,4,1] => [5,3,1,2,4] => 0000 => [5]
[3,4,4,1,2] => [4,5,1,2,3] => 0000 => [5]
[3,4,4,2,1] => [5,4,1,2,3] => 0000 => [5]
[4,1,2,3,4] => [2,3,4,1,5] => 0001 => [4,1]
[4,1,2,4,3] => [2,3,5,1,4] => 0000 => [5]
[4,1,3,2,4] => [2,4,3,1,5] => 0001 => [4,1]
[4,1,3,4,2] => [2,5,3,1,4] => 0000 => [5]
[4,1,4,2,3] => [2,4,5,1,3] => 0000 => [5]
[4,1,4,3,2] => [2,5,4,1,3] => 0000 => [5]
[4,2,1,3,4] => [3,2,4,1,5] => 0001 => [4,1]
[4,2,1,4,3] => [3,2,5,1,4] => 0000 => [5]
[4,2,3,1,4] => [4,2,3,1,5] => 0001 => [4,1]
[4,2,3,4,1] => [5,2,3,1,4] => 0000 => [5]
[4,2,4,1,3] => [4,2,5,1,3] => 0000 => [5]
[4,2,4,3,1] => [5,2,4,1,3] => 0000 => [5]
[4,3,1,2,4] => [3,4,2,1,5] => 0001 => [4,1]
[4,3,1,4,2] => [3,5,2,1,4] => 0000 => [5]
[4,3,2,1,4] => [4,3,2,1,5] => 0001 => [4,1]
[4,3,2,4,1] => [5,3,2,1,4] => 0000 => [5]
[4,3,4,1,2] => [4,5,2,1,3] => 0000 => [5]
[4,3,4,2,1] => [5,4,2,1,3] => 0000 => [5]
[4,4,1,2,3] => [3,4,5,1,2] => 0000 => [5]
[4,4,1,3,2] => [3,5,4,1,2] => 0000 => [5]
[4,4,2,1,3] => [4,3,5,1,2] => 0000 => [5]
[4,4,2,3,1] => [5,3,4,1,2] => 0000 => [5]
[4,4,3,1,2] => [4,5,3,1,2] => 0000 => [5]
[4,4,3,2,1] => [5,4,3,1,2] => 0000 => [5]
[1,2,3,4,5] => [1,2,3,4,5] => 1111 => [1,1,1,1,1]
[1,2,3,5,4] => [1,2,3,5,4] => 1110 => [1,1,1,2]
[1,2,4,3,5] => [1,2,4,3,5] => 1101 => [1,1,2,1]
[1,2,4,5,3] => [1,2,5,3,4] => 1100 => [1,1,3]
[1,2,5,3,4] => [1,2,4,5,3] => 1100 => [1,1,3]
[1,2,5,4,3] => [1,2,5,4,3] => 1100 => [1,1,3]
[1,3,2,4,5] => [1,3,2,4,5] => 1011 => [1,2,1,1]
[1,3,2,5,4] => [1,3,2,5,4] => 1010 => [1,2,2]
[1,3,4,2,5] => [1,4,2,3,5] => 1001 => [1,3,1]
[1,3,4,5,2] => [1,5,2,3,4] => 1000 => [1,4]
[1,3,5,2,4] => [1,4,2,5,3] => 1000 => [1,4]
[1,3,5,4,2] => [1,5,2,4,3] => 1000 => [1,4]
[1,4,2,3,5] => [1,3,4,2,5] => 1001 => [1,3,1]
[1,4,2,5,3] => [1,3,5,2,4] => 1000 => [1,4]
[1,4,3,2,5] => [1,4,3,2,5] => 1001 => [1,3,1]
[1,4,3,5,2] => [1,5,3,2,4] => 1000 => [1,4]
[1,4,5,2,3] => [1,4,5,2,3] => 1000 => [1,4]
[1,4,5,3,2] => [1,5,4,2,3] => 1000 => [1,4]
[1,5,2,3,4] => [1,3,4,5,2] => 1000 => [1,4]
[1,5,2,4,3] => [1,3,5,4,2] => 1000 => [1,4]
[1,5,3,2,4] => [1,4,3,5,2] => 1000 => [1,4]
[1,5,3,4,2] => [1,5,3,4,2] => 1000 => [1,4]
[1,5,4,2,3] => [1,4,5,3,2] => 1000 => [1,4]
[1,5,4,3,2] => [1,5,4,3,2] => 1000 => [1,4]
[2,1,3,4,5] => [2,1,3,4,5] => 0111 => [2,1,1,1]
[2,1,3,5,4] => [2,1,3,5,4] => 0110 => [2,1,2]
[2,1,4,3,5] => [2,1,4,3,5] => 0101 => [2,2,1]
[2,1,4,5,3] => [2,1,5,3,4] => 0100 => [2,3]
[2,1,5,3,4] => [2,1,4,5,3] => 0100 => [2,3]
[2,1,5,4,3] => [2,1,5,4,3] => 0100 => [2,3]
[2,3,1,4,5] => [3,1,2,4,5] => 0011 => [3,1,1]
[2,3,1,5,4] => [3,1,2,5,4] => 0010 => [3,2]
[2,3,4,1,5] => [4,1,2,3,5] => 0001 => [4,1]
[2,3,4,5,1] => [5,1,2,3,4] => 0000 => [5]
[2,3,5,1,4] => [4,1,2,5,3] => 0000 => [5]
[2,3,5,4,1] => [5,1,2,4,3] => 0000 => [5]
[2,4,1,3,5] => [3,1,4,2,5] => 0001 => [4,1]
[2,4,1,5,3] => [3,1,5,2,4] => 0000 => [5]
[2,4,3,1,5] => [4,1,3,2,5] => 0001 => [4,1]
[2,4,3,5,1] => [5,1,3,2,4] => 0000 => [5]
[2,4,5,1,3] => [4,1,5,2,3] => 0000 => [5]
[2,4,5,3,1] => [5,1,4,2,3] => 0000 => [5]
[2,5,1,3,4] => [3,1,4,5,2] => 0000 => [5]
[2,5,1,4,3] => [3,1,5,4,2] => 0000 => [5]
[2,5,3,1,4] => [4,1,3,5,2] => 0000 => [5]
[2,5,3,4,1] => [5,1,3,4,2] => 0000 => [5]
[2,5,4,1,3] => [4,1,5,3,2] => 0000 => [5]
[2,5,4,3,1] => [5,1,4,3,2] => 0000 => [5]
[3,1,2,4,5] => [2,3,1,4,5] => 0011 => [3,1,1]
[3,1,2,5,4] => [2,3,1,5,4] => 0010 => [3,2]
[3,1,4,2,5] => [2,4,1,3,5] => 0001 => [4,1]
[3,1,4,5,2] => [2,5,1,3,4] => 0000 => [5]
[3,1,5,2,4] => [2,4,1,5,3] => 0000 => [5]
[3,1,5,4,2] => [2,5,1,4,3] => 0000 => [5]
[3,2,1,4,5] => [3,2,1,4,5] => 0011 => [3,1,1]
[3,2,1,5,4] => [3,2,1,5,4] => 0010 => [3,2]
[3,2,4,1,5] => [4,2,1,3,5] => 0001 => [4,1]
[3,2,4,5,1] => [5,2,1,3,4] => 0000 => [5]
[3,2,5,1,4] => [4,2,1,5,3] => 0000 => [5]
[3,2,5,4,1] => [5,2,1,4,3] => 0000 => [5]
[3,4,1,2,5] => [3,4,1,2,5] => 0001 => [4,1]
[3,4,1,5,2] => [3,5,1,2,4] => 0000 => [5]
[3,4,2,1,5] => [4,3,1,2,5] => 0001 => [4,1]
[3,4,2,5,1] => [5,3,1,2,4] => 0000 => [5]
[3,4,5,1,2] => [4,5,1,2,3] => 0000 => [5]
[3,4,5,2,1] => [5,4,1,2,3] => 0000 => [5]
[3,5,1,2,4] => [3,4,1,5,2] => 0000 => [5]
[3,5,1,4,2] => [3,5,1,4,2] => 0000 => [5]
[3,5,2,1,4] => [4,3,1,5,2] => 0000 => [5]
[3,5,2,4,1] => [5,3,1,4,2] => 0000 => [5]
[3,5,4,1,2] => [4,5,1,3,2] => 0000 => [5]
[3,5,4,2,1] => [5,4,1,3,2] => 0000 => [5]
[4,1,2,3,5] => [2,3,4,1,5] => 0001 => [4,1]
[4,1,2,5,3] => [2,3,5,1,4] => 0000 => [5]
[4,1,3,2,5] => [2,4,3,1,5] => 0001 => [4,1]
[4,1,3,5,2] => [2,5,3,1,4] => 0000 => [5]
[4,1,5,2,3] => [2,4,5,1,3] => 0000 => [5]
[4,1,5,3,2] => [2,5,4,1,3] => 0000 => [5]
[4,2,1,3,5] => [3,2,4,1,5] => 0001 => [4,1]
[4,2,1,5,3] => [3,2,5,1,4] => 0000 => [5]
[4,2,3,1,5] => [4,2,3,1,5] => 0001 => [4,1]
[4,2,3,5,1] => [5,2,3,1,4] => 0000 => [5]
[4,2,5,1,3] => [4,2,5,1,3] => 0000 => [5]
[4,2,5,3,1] => [5,2,4,1,3] => 0000 => [5]
[4,3,1,2,5] => [3,4,2,1,5] => 0001 => [4,1]
[4,3,1,5,2] => [3,5,2,1,4] => 0000 => [5]
[4,3,2,1,5] => [4,3,2,1,5] => 0001 => [4,1]
[4,3,2,5,1] => [5,3,2,1,4] => 0000 => [5]
[4,3,5,1,2] => [4,5,2,1,3] => 0000 => [5]
[4,3,5,2,1] => [5,4,2,1,3] => 0000 => [5]
[4,5,1,2,3] => [3,4,5,1,2] => 0000 => [5]
[4,5,1,3,2] => [3,5,4,1,2] => 0000 => [5]
[4,5,2,1,3] => [4,3,5,1,2] => 0000 => [5]
[4,5,2,3,1] => [5,3,4,1,2] => 0000 => [5]
[4,5,3,1,2] => [4,5,3,1,2] => 0000 => [5]
[4,5,3,2,1] => [5,4,3,1,2] => 0000 => [5]
[5,1,2,3,4] => [2,3,4,5,1] => 0000 => [5]
[5,1,2,4,3] => [2,3,5,4,1] => 0000 => [5]
[5,1,3,2,4] => [2,4,3,5,1] => 0000 => [5]
[5,1,3,4,2] => [2,5,3,4,1] => 0000 => [5]
[5,1,4,2,3] => [2,4,5,3,1] => 0000 => [5]
[5,1,4,3,2] => [2,5,4,3,1] => 0000 => [5]
[5,2,1,3,4] => [3,2,4,5,1] => 0000 => [5]
[5,2,1,4,3] => [3,2,5,4,1] => 0000 => [5]
[5,2,3,1,4] => [4,2,3,5,1] => 0000 => [5]
[5,2,3,4,1] => [5,2,3,4,1] => 0000 => [5]
[5,2,4,1,3] => [4,2,5,3,1] => 0000 => [5]
[5,2,4,3,1] => [5,2,4,3,1] => 0000 => [5]
[5,3,1,2,4] => [3,4,2,5,1] => 0000 => [5]
[5,3,1,4,2] => [3,5,2,4,1] => 0000 => [5]
[5,3,2,1,4] => [4,3,2,5,1] => 0000 => [5]
[5,3,2,4,1] => [5,3,2,4,1] => 0000 => [5]
[5,3,4,1,2] => [4,5,2,3,1] => 0000 => [5]
[5,3,4,2,1] => [5,4,2,3,1] => 0000 => [5]
[5,4,1,2,3] => [3,4,5,2,1] => 0000 => [5]
[5,4,1,3,2] => [3,5,4,2,1] => 0000 => [5]
[5,4,2,1,3] => [4,3,5,2,1] => 0000 => [5]
[5,4,2,3,1] => [5,3,4,2,1] => 0000 => [5]
[5,4,3,1,2] => [4,5,3,2,1] => 0000 => [5]
[5,4,3,2,1] => [5,4,3,2,1] => 0000 => [5]
[1,1,1,1,1,1] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,1,1,1,2] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,1,1,2,1] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,1,2,1,1] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,2,1,1,1] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,1,1,1,1] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[2,1,1,1,1,1] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[1,1,1,1,1,3] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,1,1,3,1] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,1,3,1,1] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,3,1,1,1] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,3,1,1,1,1] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[3,1,1,1,1,1] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[1,1,1,1,1,4] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,1,1,4,1] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,1,4,1,1] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,4,1,1,1] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,4,1,1,1,1] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[4,1,1,1,1,1] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[1,1,1,1,1,5] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,1,1,5,1] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,1,5,1,1] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,1,5,1,1,1] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,5,1,1,1,1] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[5,1,1,1,1,1] => [2,3,4,5,1,6] => 00001 => [5,1]
[1,1,1,1,1,6] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,1,1,6,1] => [1,2,3,4,6,5] => 11110 => [1,1,1,1,2]
[1,1,1,6,1,1] => [1,2,3,5,6,4] => 11100 => [1,1,1,3]
[1,1,6,1,1,1] => [1,2,4,5,6,3] => 11000 => [1,1,4]
[1,6,1,1,1,1] => [1,3,4,5,6,2] => 10000 => [1,5]
[6,1,1,1,1,1] => [2,3,4,5,6,1] => 00000 => [6]
[1,1,1,1,2,2] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,1,2,1,2] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,1,2,2,1] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,2,1,1,2] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,2,1,2,1] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,2,2,1,1] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,1,1,1,2] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,1,1,2,1] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,1,2,1,1] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,2,1,1,1] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[2,1,1,1,1,2] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,1,1,2,1] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,1,2,1,1] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,2,1,1,1] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,2,1,1,1,1] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[1,1,1,1,2,3] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,1,1,3,2] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,1,2,1,3] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,1,2,3,1] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,1,3,1,2] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,1,3,2,1] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,2,1,1,3] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,2,1,3,1] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,2,3,1,1] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,3,1,1,2] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,3,1,2,1] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,3,2,1,1] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,1,1,1,3] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,1,1,3,1] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,1,3,1,1] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,3,1,1,1] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,3,1,1,1,2] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,1,1,2,1] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,1,2,1,1] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,2,1,1,1] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[2,1,1,1,1,3] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,1,1,3,1] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,1,3,1,1] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,3,1,1,1] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,3,1,1,1,1] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[3,1,1,1,1,2] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,1,1,2,1] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,1,2,1,1] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,2,1,1,1] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,2,1,1,1,1] => [3,2,1,4,5,6] => 00111 => [3,1,1,1]
[1,1,1,1,2,4] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,1,1,4,2] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,1,2,1,4] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,1,2,4,1] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,1,4,1,2] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,1,4,2,1] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,2,1,1,4] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,2,1,4,1] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,2,4,1,1] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,4,1,1,2] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,1,4,1,2,1] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,1,4,2,1,1] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,2,1,1,1,4] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,1,1,4,1] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,1,4,1,1] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,4,1,1,1] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,4,1,1,1,2] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,1,1,2,1] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,1,2,1,1] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,2,1,1,1] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[2,1,1,1,1,4] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,1,1,4,1] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,1,4,1,1] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,4,1,1,1] => [2,1,4,3,5,6] => 01011 => [2,2,1,1]
[2,4,1,1,1,1] => [3,1,4,2,5,6] => 00011 => [4,1,1]
[4,1,1,1,1,2] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,1,1,2,1] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,1,2,1,1] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,2,1,1,1] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,2,1,1,1,1] => [3,2,4,1,5,6] => 00011 => [4,1,1]
[1,1,1,1,2,5] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,1,1,5,2] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,1,2,1,5] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,1,2,5,1] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,1,5,1,2] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,1,1,5,2,1] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,1,2,1,1,5] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,2,1,5,1] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,2,5,1,1] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,1,5,1,1,2] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,1,5,1,2,1] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,1,5,2,1,1] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,2,1,1,1,5] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,1,1,5,1] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,1,5,1,1] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,2,5,1,1,1] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,5,1,1,1,2] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,1,1,2,1] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,1,2,1,1] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,2,1,1,1] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[2,1,1,1,1,5] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,1,1,5,1] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,1,5,1,1] => [2,1,3,5,4,6] => 01101 => [2,1,2,1]
[2,1,5,1,1,1] => [2,1,4,5,3,6] => 01001 => [2,3,1]
[2,5,1,1,1,1] => [3,1,4,5,2,6] => 00001 => [5,1]
[5,1,1,1,1,2] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,1,1,2,1] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,1,2,1,1] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,2,1,1,1] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,2,1,1,1,1] => [3,2,4,5,1,6] => 00001 => [5,1]
[1,1,1,1,2,6] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,1,1,6,2] => [1,2,3,4,6,5] => 11110 => [1,1,1,1,2]
[1,1,1,2,1,6] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,1,2,6,1] => [1,2,3,4,6,5] => 11110 => [1,1,1,1,2]
[1,1,1,6,1,2] => [1,2,3,5,6,4] => 11100 => [1,1,1,3]
[1,1,1,6,2,1] => [1,2,3,5,6,4] => 11100 => [1,1,1,3]
[1,1,2,1,1,6] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,2,1,6,1] => [1,2,3,4,6,5] => 11110 => [1,1,1,1,2]
[1,1,2,6,1,1] => [1,2,3,5,6,4] => 11100 => [1,1,1,3]
[1,1,6,1,1,2] => [1,2,4,5,6,3] => 11000 => [1,1,4]
[1,1,6,1,2,1] => [1,2,4,5,6,3] => 11000 => [1,1,4]
[1,1,6,2,1,1] => [1,2,4,5,6,3] => 11000 => [1,1,4]
[1,2,1,1,1,6] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,1,1,6,1] => [1,2,3,4,6,5] => 11110 => [1,1,1,1,2]
[1,2,1,6,1,1] => [1,2,3,5,6,4] => 11100 => [1,1,1,3]
[1,2,6,1,1,1] => [1,2,4,5,6,3] => 11000 => [1,1,4]
[1,6,1,1,1,2] => [1,3,4,5,6,2] => 10000 => [1,5]
[1,6,1,1,2,1] => [1,3,4,5,6,2] => 10000 => [1,5]
[1,6,1,2,1,1] => [1,3,4,5,6,2] => 10000 => [1,5]
[1,6,2,1,1,1] => [1,3,4,5,6,2] => 10000 => [1,5]
[2,1,1,1,1,6] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,1,1,6,1] => [2,1,3,4,6,5] => 01110 => [2,1,1,2]
[2,1,1,6,1,1] => [2,1,3,5,6,4] => 01100 => [2,1,3]
[2,1,6,1,1,1] => [2,1,4,5,6,3] => 01000 => [2,4]
[2,6,1,1,1,1] => [3,1,4,5,6,2] => 00000 => [6]
[6,1,1,1,1,2] => [2,3,4,5,6,1] => 00000 => [6]
[6,1,1,1,2,1] => [2,3,4,5,6,1] => 00000 => [6]
[6,1,1,2,1,1] => [2,3,4,5,6,1] => 00000 => [6]
[6,1,2,1,1,1] => [2,3,4,5,6,1] => 00000 => [6]
[6,2,1,1,1,1] => [3,2,4,5,6,1] => 00000 => [6]
[1,1,1,1,3,3] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,1,3,1,3] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,1,3,3,1] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,3,1,1,3] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,3,1,3,1] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,3,3,1,1] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,3,1,1,1,3] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,1,1,3,1] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,1,3,1,1] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,3,1,1,1] => [1,4,2,3,5,6] => 10011 => [1,3,1,1]
[3,1,1,1,1,3] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,1,1,3,1] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,1,3,1,1] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,3,1,1,1] => [2,4,1,3,5,6] => 00011 => [4,1,1]
[3,3,1,1,1,1] => [3,4,1,2,5,6] => 00011 => [4,1,1]
[1,1,1,1,3,4] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,1,1,4,3] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,1,3,1,4] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,1,3,4,1] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,1,4,1,3] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,1,4,3,1] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,3,1,1,4] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,3,1,4,1] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,3,4,1,1] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,4,1,1,3] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,1,4,1,3,1] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,1,4,3,1,1] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,3,1,1,1,4] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,1,1,4,1] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,1,4,1,1] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,4,1,1,1] => [1,4,2,3,5,6] => 10011 => [1,3,1,1]
[1,4,1,1,1,3] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,1,1,3,1] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,1,3,1,1] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,3,1,1,1] => [1,4,3,2,5,6] => 10011 => [1,3,1,1]
[3,1,1,1,1,4] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,1,1,4,1] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,1,4,1,1] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,4,1,1,1] => [2,4,1,3,5,6] => 00011 => [4,1,1]
[3,4,1,1,1,1] => [3,4,1,2,5,6] => 00011 => [4,1,1]
[4,1,1,1,1,3] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,1,1,3,1] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,1,3,1,1] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,3,1,1,1] => [2,4,3,1,5,6] => 00011 => [4,1,1]
[4,3,1,1,1,1] => [3,4,2,1,5,6] => 00011 => [4,1,1]
[1,1,1,1,3,5] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,1,1,5,3] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,1,3,1,5] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,1,3,5,1] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,1,5,1,3] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,1,1,5,3,1] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,1,3,1,1,5] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,3,1,5,1] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,3,5,1,1] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,1,5,1,1,3] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,1,5,1,3,1] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,1,5,3,1,1] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,3,1,1,1,5] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,1,1,5,1] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,1,5,1,1] => [1,3,2,5,4,6] => 10101 => [1,2,2,1]
[1,3,5,1,1,1] => [1,4,2,5,3,6] => 10001 => [1,4,1]
[1,5,1,1,1,3] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,1,1,3,1] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,1,3,1,1] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,3,1,1,1] => [1,4,3,5,2,6] => 10001 => [1,4,1]
[3,1,1,1,1,5] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,1,1,5,1] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,1,5,1,1] => [2,3,1,5,4,6] => 00101 => [3,2,1]
[3,1,5,1,1,1] => [2,4,1,5,3,6] => 00001 => [5,1]
[3,5,1,1,1,1] => [3,4,1,5,2,6] => 00001 => [5,1]
[5,1,1,1,1,3] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,1,1,3,1] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,1,3,1,1] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,3,1,1,1] => [2,4,3,5,1,6] => 00001 => [5,1]
[5,3,1,1,1,1] => [3,4,2,5,1,6] => 00001 => [5,1]
[1,1,1,1,3,6] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,1,1,6,3] => [1,2,3,4,6,5] => 11110 => [1,1,1,1,2]
[1,1,1,3,1,6] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,1,3,6,1] => [1,2,3,4,6,5] => 11110 => [1,1,1,1,2]
[1,1,1,6,1,3] => [1,2,3,5,6,4] => 11100 => [1,1,1,3]
[1,1,1,6,3,1] => [1,2,3,5,6,4] => 11100 => [1,1,1,3]
[1,1,3,1,1,6] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,3,1,6,1] => [1,2,3,4,6,5] => 11110 => [1,1,1,1,2]
[1,1,3,6,1,1] => [1,2,3,5,6,4] => 11100 => [1,1,1,3]
[1,1,6,1,1,3] => [1,2,4,5,6,3] => 11000 => [1,1,4]
[1,1,6,1,3,1] => [1,2,4,5,6,3] => 11000 => [1,1,4]
[1,1,6,3,1,1] => [1,2,4,5,6,3] => 11000 => [1,1,4]
[1,3,1,1,1,6] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,1,1,6,1] => [1,3,2,4,6,5] => 10110 => [1,2,1,2]
[1,3,1,6,1,1] => [1,3,2,5,6,4] => 10100 => [1,2,3]
[1,3,6,1,1,1] => [1,4,2,5,6,3] => 10000 => [1,5]
[1,6,1,1,1,3] => [1,3,4,5,6,2] => 10000 => [1,5]
[1,6,1,1,3,1] => [1,3,4,5,6,2] => 10000 => [1,5]
[1,6,1,3,1,1] => [1,3,4,5,6,2] => 10000 => [1,5]
[1,6,3,1,1,1] => [1,4,3,5,6,2] => 10000 => [1,5]
[3,1,1,1,1,6] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,1,1,6,1] => [2,3,1,4,6,5] => 00110 => [3,1,2]
[3,1,1,6,1,1] => [2,3,1,5,6,4] => 00100 => [3,3]
[3,1,6,1,1,1] => [2,4,1,5,6,3] => 00000 => [6]
[3,6,1,1,1,1] => [3,4,1,5,6,2] => 00000 => [6]
[6,1,1,1,1,3] => [2,3,4,5,6,1] => 00000 => [6]
[6,1,1,1,3,1] => [2,3,4,5,6,1] => 00000 => [6]
[6,1,1,3,1,1] => [2,3,4,5,6,1] => 00000 => [6]
[6,1,3,1,1,1] => [2,4,3,5,6,1] => 00000 => [6]
[6,3,1,1,1,1] => [3,4,2,5,6,1] => 00000 => [6]
[1,1,1,1,4,4] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,1,4,1,4] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,1,4,4,1] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,4,1,1,4] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,1,4,1,4,1] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,1,4,4,1,1] => [1,2,5,3,4,6] => 11001 => [1,1,3,1]
[1,4,1,1,1,4] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,1,1,4,1] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,1,4,1,1] => [1,3,5,2,4,6] => 10001 => [1,4,1]
[1,4,4,1,1,1] => [1,4,5,2,3,6] => 10001 => [1,4,1]
[4,1,1,1,1,4] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,1,1,4,1] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,1,4,1,1] => [2,3,5,1,4,6] => 00001 => [5,1]
[4,1,4,1,1,1] => [2,4,5,1,3,6] => 00001 => [5,1]
[4,4,1,1,1,1] => [3,4,5,1,2,6] => 00001 => [5,1]
[1,1,1,1,4,5] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,1,1,5,4] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,1,4,1,5] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,1,4,5,1] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,1,5,1,4] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,1,1,5,4,1] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,1,4,1,1,5] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,1,4,1,5,1] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,1,4,5,1,1] => [1,2,5,3,4,6] => 11001 => [1,1,3,1]
[1,1,5,1,1,4] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,1,5,1,4,1] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,1,5,4,1,1] => [1,2,5,4,3,6] => 11001 => [1,1,3,1]
[1,4,1,1,1,5] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,1,1,5,1] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,1,5,1,1] => [1,3,5,2,4,6] => 10001 => [1,4,1]
[1,4,5,1,1,1] => [1,4,5,2,3,6] => 10001 => [1,4,1]
[1,5,1,1,1,4] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,1,1,4,1] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,1,4,1,1] => [1,3,5,4,2,6] => 10001 => [1,4,1]
[1,5,4,1,1,1] => [1,4,5,3,2,6] => 10001 => [1,4,1]
[4,1,1,1,1,5] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,1,1,5,1] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,1,5,1,1] => [2,3,5,1,4,6] => 00001 => [5,1]
[4,1,5,1,1,1] => [2,4,5,1,3,6] => 00001 => [5,1]
[4,5,1,1,1,1] => [3,4,5,1,2,6] => 00001 => [5,1]
[5,1,1,1,1,4] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,1,1,4,1] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,1,4,1,1] => [2,3,5,4,1,6] => 00001 => [5,1]
[5,1,4,1,1,1] => [2,4,5,3,1,6] => 00001 => [5,1]
[5,4,1,1,1,1] => [3,4,5,2,1,6] => 00001 => [5,1]
[1,1,1,1,4,6] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,1,1,6,4] => [1,2,3,4,6,5] => 11110 => [1,1,1,1,2]
[1,1,1,4,1,6] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,1,4,6,1] => [1,2,3,4,6,5] => 11110 => [1,1,1,1,2]
[1,1,1,6,1,4] => [1,2,3,5,6,4] => 11100 => [1,1,1,3]
[1,1,1,6,4,1] => [1,2,3,5,6,4] => 11100 => [1,1,1,3]
[1,1,4,1,1,6] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,1,4,1,6,1] => [1,2,4,3,6,5] => 11010 => [1,1,2,2]
[1,1,4,6,1,1] => [1,2,5,3,6,4] => 11000 => [1,1,4]
[1,1,6,1,1,4] => [1,2,4,5,6,3] => 11000 => [1,1,4]
[1,1,6,1,4,1] => [1,2,4,5,6,3] => 11000 => [1,1,4]
[1,1,6,4,1,1] => [1,2,5,4,6,3] => 11000 => [1,1,4]
[1,4,1,1,1,6] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,1,1,6,1] => [1,3,4,2,6,5] => 10010 => [1,3,2]
[1,4,1,6,1,1] => [1,3,5,2,6,4] => 10000 => [1,5]
[1,4,6,1,1,1] => [1,4,5,2,6,3] => 10000 => [1,5]
[1,6,1,1,1,4] => [1,3,4,5,6,2] => 10000 => [1,5]
[1,6,1,1,4,1] => [1,3,4,5,6,2] => 10000 => [1,5]
[1,6,1,4,1,1] => [1,3,5,4,6,2] => 10000 => [1,5]
[1,6,4,1,1,1] => [1,4,5,3,6,2] => 10000 => [1,5]
[4,1,1,1,1,6] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,1,1,6,1] => [2,3,4,1,6,5] => 00010 => [4,2]
[4,1,1,6,1,1] => [2,3,5,1,6,4] => 00000 => [6]
[4,1,6,1,1,1] => [2,4,5,1,6,3] => 00000 => [6]
[4,6,1,1,1,1] => [3,4,5,1,6,2] => 00000 => [6]
[6,1,1,1,1,4] => [2,3,4,5,6,1] => 00000 => [6]
[6,1,1,1,4,1] => [2,3,4,5,6,1] => 00000 => [6]
[6,1,1,4,1,1] => [2,3,5,4,6,1] => 00000 => [6]
[6,1,4,1,1,1] => [2,4,5,3,6,1] => 00000 => [6]
[6,4,1,1,1,1] => [3,4,5,2,6,1] => 00000 => [6]
[1,1,1,1,5,5] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,1,5,1,5] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,1,1,5,5,1] => [1,2,3,6,4,5] => 11100 => [1,1,1,3]
[1,1,5,1,1,5] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,1,5,1,5,1] => [1,2,4,6,3,5] => 11000 => [1,1,4]
[1,1,5,5,1,1] => [1,2,5,6,3,4] => 11000 => [1,1,4]
[1,5,1,1,1,5] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,1,1,5,1] => [1,3,4,6,2,5] => 10000 => [1,5]
[1,5,1,5,1,1] => [1,3,5,6,2,4] => 10000 => [1,5]
[1,5,5,1,1,1] => [1,4,5,6,2,3] => 10000 => [1,5]
[5,1,1,1,1,5] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,1,1,5,1] => [2,3,4,6,1,5] => 00000 => [6]
[5,1,1,5,1,1] => [2,3,5,6,1,4] => 00000 => [6]
[5,1,5,1,1,1] => [2,4,5,6,1,3] => 00000 => [6]
[5,5,1,1,1,1] => [3,4,5,6,1,2] => 00000 => [6]
[1,1,1,1,5,6] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,1,1,6,5] => [1,2,3,4,6,5] => 11110 => [1,1,1,1,2]
[1,1,1,5,1,6] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,1,1,5,6,1] => [1,2,3,6,4,5] => 11100 => [1,1,1,3]
[1,1,1,6,1,5] => [1,2,3,5,6,4] => 11100 => [1,1,1,3]
[1,1,1,6,5,1] => [1,2,3,6,5,4] => 11100 => [1,1,1,3]
[1,1,5,1,1,6] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,1,5,1,6,1] => [1,2,4,6,3,5] => 11000 => [1,1,4]
[1,1,5,6,1,1] => [1,2,5,6,3,4] => 11000 => [1,1,4]
[1,1,6,1,1,5] => [1,2,4,5,6,3] => 11000 => [1,1,4]
[1,1,6,1,5,1] => [1,2,4,6,5,3] => 11000 => [1,1,4]
[1,1,6,5,1,1] => [1,2,5,6,4,3] => 11000 => [1,1,4]
[1,5,1,1,1,6] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,1,1,6,1] => [1,3,4,6,2,5] => 10000 => [1,5]
[1,5,1,6,1,1] => [1,3,5,6,2,4] => 10000 => [1,5]
[1,5,6,1,1,1] => [1,4,5,6,2,3] => 10000 => [1,5]
[1,6,1,1,1,5] => [1,3,4,5,6,2] => 10000 => [1,5]
[1,6,1,1,5,1] => [1,3,4,6,5,2] => 10000 => [1,5]
[1,6,1,5,1,1] => [1,3,5,6,4,2] => 10000 => [1,5]
[1,6,5,1,1,1] => [1,4,5,6,3,2] => 10000 => [1,5]
[5,1,1,1,1,6] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,1,1,6,1] => [2,3,4,6,1,5] => 00000 => [6]
[5,1,1,6,1,1] => [2,3,5,6,1,4] => 00000 => [6]
[5,1,6,1,1,1] => [2,4,5,6,1,3] => 00000 => [6]
[5,6,1,1,1,1] => [3,4,5,6,1,2] => 00000 => [6]
[6,1,1,1,1,5] => [2,3,4,5,6,1] => 00000 => [6]
[6,1,1,1,5,1] => [2,3,4,6,5,1] => 00000 => [6]
[6,1,1,5,1,1] => [2,3,5,6,4,1] => 00000 => [6]
[6,1,5,1,1,1] => [2,4,5,6,3,1] => 00000 => [6]
[6,5,1,1,1,1] => [3,4,5,6,2,1] => 00000 => [6]
[1,1,1,2,2,2] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,2,1,2,2] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,2,2,1,2] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,2,2,2,1] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,1,1,2,2] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,1,2,1,2] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,1,2,2,1] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,2,1,1,2] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,2,1,2,1] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,2,2,1,1] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[2,1,1,1,2,2] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,1,2,1,2] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,1,2,2,1] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,2,1,1,2] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,2,1,2,1] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,2,2,1,1] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,2,1,1,1,2] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,2,1,1,2,1] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,2,1,2,1,1] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,2,2,1,1,1] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[1,1,1,2,2,3] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,1,2,3,2] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,1,3,2,2] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,2,1,2,3] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,2,1,3,2] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,2,2,1,3] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,2,2,3,1] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,2,3,1,2] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,2,3,2,1] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,3,1,2,2] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,3,2,1,2] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,3,2,2,1] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,1,1,2,3] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,1,1,3,2] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,1,2,1,3] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,1,2,3,1] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,1,3,1,2] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,1,3,2,1] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,2,1,1,3] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,2,1,3,1] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,2,3,1,1] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,3,1,1,2] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,3,1,2,1] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,3,2,1,1] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,3,1,1,2,2] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,1,2,1,2] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,1,2,2,1] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,2,1,1,2] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,2,1,2,1] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,2,2,1,1] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[2,1,1,1,2,3] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,1,1,3,2] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,1,2,1,3] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,1,2,3,1] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,1,3,1,2] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,1,3,2,1] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,2,1,1,3] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,2,1,3,1] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,2,3,1,1] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,3,1,1,2] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,3,1,2,1] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,3,2,1,1] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,2,1,1,1,3] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,2,1,1,3,1] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,2,1,3,1,1] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,2,3,1,1,1] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,3,1,1,1,2] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,3,1,1,2,1] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,3,1,2,1,1] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,3,2,1,1,1] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[3,1,1,1,2,2] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,1,2,1,2] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,1,2,2,1] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,2,1,1,2] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,2,1,2,1] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,2,2,1,1] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,2,1,1,1,2] => [3,2,1,4,5,6] => 00111 => [3,1,1,1]
[3,2,1,1,2,1] => [3,2,1,4,5,6] => 00111 => [3,1,1,1]
[3,2,1,2,1,1] => [3,2,1,4,5,6] => 00111 => [3,1,1,1]
[3,2,2,1,1,1] => [4,2,1,3,5,6] => 00011 => [4,1,1]
[1,1,1,2,2,4] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,1,2,4,2] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,1,4,2,2] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,2,1,2,4] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,2,1,4,2] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,2,2,1,4] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,2,2,4,1] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,2,4,1,2] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,2,4,2,1] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,4,1,2,2] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,1,4,2,1,2] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,1,4,2,2,1] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,2,1,1,2,4] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,1,1,4,2] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,1,2,1,4] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,1,2,4,1] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,1,4,1,2] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,1,4,2,1] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,2,1,1,4] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,2,1,4,1] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,2,4,1,1] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,4,1,1,2] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,2,4,1,2,1] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,2,4,2,1,1] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,4,1,1,2,2] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,1,2,1,2] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,1,2,2,1] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,2,1,1,2] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,2,1,2,1] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,2,2,1,1] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[2,1,1,1,2,4] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,1,1,4,2] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,1,2,1,4] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,1,2,4,1] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,1,4,1,2] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,1,4,2,1] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,2,1,1,4] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,2,1,4,1] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,2,4,1,1] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,4,1,1,2] => [2,1,4,3,5,6] => 01011 => [2,2,1,1]
[2,1,4,1,2,1] => [2,1,4,3,5,6] => 01011 => [2,2,1,1]
[2,1,4,2,1,1] => [2,1,4,3,5,6] => 01011 => [2,2,1,1]
[2,2,1,1,1,4] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,2,1,1,4,1] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,2,1,4,1,1] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,2,4,1,1,1] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,4,1,1,1,2] => [3,1,4,2,5,6] => 00011 => [4,1,1]
[2,4,1,1,2,1] => [3,1,4,2,5,6] => 00011 => [4,1,1]
[2,4,1,2,1,1] => [3,1,4,2,5,6] => 00011 => [4,1,1]
[2,4,2,1,1,1] => [4,1,3,2,5,6] => 00011 => [4,1,1]
[4,1,1,1,2,2] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,1,2,1,2] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,1,2,2,1] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,2,1,1,2] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,2,1,2,1] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,2,2,1,1] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,2,1,1,1,2] => [3,2,4,1,5,6] => 00011 => [4,1,1]
[4,2,1,1,2,1] => [3,2,4,1,5,6] => 00011 => [4,1,1]
[4,2,1,2,1,1] => [3,2,4,1,5,6] => 00011 => [4,1,1]
[4,2,2,1,1,1] => [4,2,3,1,5,6] => 00011 => [4,1,1]
[1,1,1,2,2,5] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,1,2,5,2] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,1,5,2,2] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,1,2,1,2,5] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,2,1,5,2] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,2,2,1,5] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,2,2,5,1] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,2,5,1,2] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,1,2,5,2,1] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,1,5,1,2,2] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,1,5,2,1,2] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,1,5,2,2,1] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,2,1,1,2,5] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,1,1,5,2] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,1,2,1,5] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,1,2,5,1] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,1,5,1,2] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,2,1,5,2,1] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,2,2,1,1,5] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,2,1,5,1] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,2,5,1,1] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,2,5,1,1,2] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,2,5,1,2,1] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,2,5,2,1,1] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,5,1,1,2,2] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,1,2,1,2] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,1,2,2,1] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,2,1,1,2] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,2,1,2,1] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,2,2,1,1] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[2,1,1,1,2,5] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,1,1,5,2] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,1,2,1,5] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,1,2,5,1] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,1,5,1,2] => [2,1,3,5,4,6] => 01101 => [2,1,2,1]
[2,1,1,5,2,1] => [2,1,3,5,4,6] => 01101 => [2,1,2,1]
[2,1,2,1,1,5] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,2,1,5,1] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,2,5,1,1] => [2,1,3,5,4,6] => 01101 => [2,1,2,1]
[2,1,5,1,1,2] => [2,1,4,5,3,6] => 01001 => [2,3,1]
[2,1,5,1,2,1] => [2,1,4,5,3,6] => 01001 => [2,3,1]
[2,1,5,2,1,1] => [2,1,4,5,3,6] => 01001 => [2,3,1]
[2,2,1,1,1,5] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,2,1,1,5,1] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,2,1,5,1,1] => [3,1,2,5,4,6] => 00101 => [3,2,1]
[2,2,5,1,1,1] => [4,1,2,5,3,6] => 00001 => [5,1]
[2,5,1,1,1,2] => [3,1,4,5,2,6] => 00001 => [5,1]
[2,5,1,1,2,1] => [3,1,4,5,2,6] => 00001 => [5,1]
[2,5,1,2,1,1] => [3,1,4,5,2,6] => 00001 => [5,1]
[2,5,2,1,1,1] => [4,1,3,5,2,6] => 00001 => [5,1]
[5,1,1,1,2,2] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,1,2,1,2] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,1,2,2,1] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,2,1,1,2] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,2,1,2,1] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,2,2,1,1] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,2,1,1,1,2] => [3,2,4,5,1,6] => 00001 => [5,1]
[5,2,1,1,2,1] => [3,2,4,5,1,6] => 00001 => [5,1]
[5,2,1,2,1,1] => [3,2,4,5,1,6] => 00001 => [5,1]
[5,2,2,1,1,1] => [4,2,3,5,1,6] => 00001 => [5,1]
[1,1,1,2,2,6] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,1,2,6,2] => [1,2,3,4,6,5] => 11110 => [1,1,1,1,2]
[1,1,1,6,2,2] => [1,2,3,5,6,4] => 11100 => [1,1,1,3]
[1,1,2,1,2,6] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,2,1,6,2] => [1,2,3,4,6,5] => 11110 => [1,1,1,1,2]
[1,1,2,2,1,6] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,2,2,6,1] => [1,2,3,4,6,5] => 11110 => [1,1,1,1,2]
[1,1,2,6,1,2] => [1,2,3,5,6,4] => 11100 => [1,1,1,3]
[1,1,2,6,2,1] => [1,2,3,5,6,4] => 11100 => [1,1,1,3]
[1,1,6,1,2,2] => [1,2,4,5,6,3] => 11000 => [1,1,4]
[1,1,6,2,1,2] => [1,2,4,5,6,3] => 11000 => [1,1,4]
[1,1,6,2,2,1] => [1,2,4,5,6,3] => 11000 => [1,1,4]
[1,2,1,1,2,6] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,1,1,6,2] => [1,2,3,4,6,5] => 11110 => [1,1,1,1,2]
[1,2,1,2,1,6] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,1,2,6,1] => [1,2,3,4,6,5] => 11110 => [1,1,1,1,2]
[1,2,1,6,1,2] => [1,2,3,5,6,4] => 11100 => [1,1,1,3]
[1,2,1,6,2,1] => [1,2,3,5,6,4] => 11100 => [1,1,1,3]
[1,2,2,1,1,6] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,2,1,6,1] => [1,2,3,4,6,5] => 11110 => [1,1,1,1,2]
[1,2,2,6,1,1] => [1,2,3,5,6,4] => 11100 => [1,1,1,3]
[1,2,6,1,1,2] => [1,2,4,5,6,3] => 11000 => [1,1,4]
[1,2,6,1,2,1] => [1,2,4,5,6,3] => 11000 => [1,1,4]
[1,2,6,2,1,1] => [1,2,4,5,6,3] => 11000 => [1,1,4]
[1,6,1,1,2,2] => [1,3,4,5,6,2] => 10000 => [1,5]
[1,6,1,2,1,2] => [1,3,4,5,6,2] => 10000 => [1,5]
[1,6,1,2,2,1] => [1,3,4,5,6,2] => 10000 => [1,5]
[1,6,2,1,1,2] => [1,3,4,5,6,2] => 10000 => [1,5]
[1,6,2,1,2,1] => [1,3,4,5,6,2] => 10000 => [1,5]
[1,6,2,2,1,1] => [1,3,4,5,6,2] => 10000 => [1,5]
[2,1,1,1,2,6] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,1,1,6,2] => [2,1,3,4,6,5] => 01110 => [2,1,1,2]
[2,1,1,2,1,6] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,1,2,6,1] => [2,1,3,4,6,5] => 01110 => [2,1,1,2]
[2,1,1,6,1,2] => [2,1,3,5,6,4] => 01100 => [2,1,3]
[2,1,1,6,2,1] => [2,1,3,5,6,4] => 01100 => [2,1,3]
[2,1,2,1,1,6] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,2,1,6,1] => [2,1,3,4,6,5] => 01110 => [2,1,1,2]
[2,1,2,6,1,1] => [2,1,3,5,6,4] => 01100 => [2,1,3]
[2,1,6,1,1,2] => [2,1,4,5,6,3] => 01000 => [2,4]
[2,1,6,1,2,1] => [2,1,4,5,6,3] => 01000 => [2,4]
[2,1,6,2,1,1] => [2,1,4,5,6,3] => 01000 => [2,4]
[2,2,1,1,1,6] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,2,1,1,6,1] => [3,1,2,4,6,5] => 00110 => [3,1,2]
[2,2,1,6,1,1] => [3,1,2,5,6,4] => 00100 => [3,3]
[2,2,6,1,1,1] => [4,1,2,5,6,3] => 00000 => [6]
[2,6,1,1,1,2] => [3,1,4,5,6,2] => 00000 => [6]
[2,6,1,1,2,1] => [3,1,4,5,6,2] => 00000 => [6]
[2,6,1,2,1,1] => [3,1,4,5,6,2] => 00000 => [6]
[2,6,2,1,1,1] => [4,1,3,5,6,2] => 00000 => [6]
[6,1,1,1,2,2] => [2,3,4,5,6,1] => 00000 => [6]
[6,1,1,2,1,2] => [2,3,4,5,6,1] => 00000 => [6]
[6,1,1,2,2,1] => [2,3,4,5,6,1] => 00000 => [6]
[6,1,2,1,1,2] => [2,3,4,5,6,1] => 00000 => [6]
[6,1,2,1,2,1] => [2,3,4,5,6,1] => 00000 => [6]
[6,1,2,2,1,1] => [2,3,4,5,6,1] => 00000 => [6]
[6,2,1,1,1,2] => [3,2,4,5,6,1] => 00000 => [6]
[6,2,1,1,2,1] => [3,2,4,5,6,1] => 00000 => [6]
[6,2,1,2,1,1] => [3,2,4,5,6,1] => 00000 => [6]
[6,2,2,1,1,1] => [4,2,3,5,6,1] => 00000 => [6]
[1,1,1,2,3,3] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,1,3,2,3] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,1,3,3,2] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,2,1,3,3] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,2,3,1,3] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,2,3,3,1] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,3,1,2,3] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,3,1,3,2] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,3,2,1,3] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,3,2,3,1] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,3,3,1,2] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,3,3,2,1] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,1,1,3,3] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,1,3,1,3] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,1,3,3,1] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,3,1,1,3] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,3,1,3,1] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,3,3,1,1] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,3,1,1,2,3] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,1,1,3,2] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,1,2,1,3] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,1,2,3,1] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,1,3,1,2] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,1,3,2,1] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,2,1,1,3] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,2,1,3,1] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,2,3,1,1] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,3,1,1,2] => [1,4,2,3,5,6] => 10011 => [1,3,1,1]
[1,3,3,1,2,1] => [1,4,2,3,5,6] => 10011 => [1,3,1,1]
[1,3,3,2,1,1] => [1,4,2,3,5,6] => 10011 => [1,3,1,1]
[2,1,1,1,3,3] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,1,3,1,3] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,1,3,3,1] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,3,1,1,3] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,3,1,3,1] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,3,3,1,1] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,3,1,1,1,3] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,3,1,1,3,1] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,3,1,3,1,1] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,3,3,1,1,1] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[3,1,1,1,2,3] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,1,1,3,2] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,1,2,1,3] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,1,2,3,1] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,1,3,1,2] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,1,3,2,1] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,2,1,1,3] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,2,1,3,1] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,2,3,1,1] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,3,1,1,2] => [2,4,1,3,5,6] => 00011 => [4,1,1]
[3,1,3,1,2,1] => [2,4,1,3,5,6] => 00011 => [4,1,1]
[3,1,3,2,1,1] => [2,4,1,3,5,6] => 00011 => [4,1,1]
[3,2,1,1,1,3] => [3,2,1,4,5,6] => 00111 => [3,1,1,1]
[3,2,1,1,3,1] => [3,2,1,4,5,6] => 00111 => [3,1,1,1]
[3,2,1,3,1,1] => [3,2,1,4,5,6] => 00111 => [3,1,1,1]
[3,2,3,1,1,1] => [4,2,1,3,5,6] => 00011 => [4,1,1]
[3,3,1,1,1,2] => [3,4,1,2,5,6] => 00011 => [4,1,1]
[3,3,1,1,2,1] => [3,4,1,2,5,6] => 00011 => [4,1,1]
[3,3,1,2,1,1] => [3,4,1,2,5,6] => 00011 => [4,1,1]
[3,3,2,1,1,1] => [4,3,1,2,5,6] => 00011 => [4,1,1]
[1,1,1,2,3,4] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,1,2,4,3] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,1,3,2,4] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,1,3,4,2] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,1,4,2,3] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,1,4,3,2] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,2,1,3,4] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,2,1,4,3] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,2,3,1,4] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,2,3,4,1] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,2,4,1,3] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,2,4,3,1] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,3,1,2,4] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,3,1,4,2] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,3,2,1,4] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,3,2,4,1] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,3,4,1,2] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,3,4,2,1] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,4,1,2,3] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,1,4,1,3,2] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,1,4,2,1,3] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,1,4,2,3,1] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,1,4,3,1,2] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,1,4,3,2,1] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,2,1,1,3,4] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,1,1,4,3] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,1,3,1,4] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,1,3,4,1] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,1,4,1,3] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,1,4,3,1] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,3,1,1,4] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,3,1,4,1] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,3,4,1,1] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,4,1,1,3] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,2,4,1,3,1] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,2,4,3,1,1] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,3,1,1,2,4] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,1,1,4,2] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,1,2,1,4] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,1,2,4,1] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,1,4,1,2] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,1,4,2,1] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,2,1,1,4] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,2,1,4,1] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,2,4,1,1] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,4,1,1,2] => [1,4,2,3,5,6] => 10011 => [1,3,1,1]
[1,3,4,1,2,1] => [1,4,2,3,5,6] => 10011 => [1,3,1,1]
[1,3,4,2,1,1] => [1,4,2,3,5,6] => 10011 => [1,3,1,1]
[1,4,1,1,2,3] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,1,1,3,2] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,1,2,1,3] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,1,2,3,1] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,1,3,1,2] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,1,3,2,1] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,2,1,1,3] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,2,1,3,1] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,2,3,1,1] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,3,1,1,2] => [1,4,3,2,5,6] => 10011 => [1,3,1,1]
[1,4,3,1,2,1] => [1,4,3,2,5,6] => 10011 => [1,3,1,1]
[1,4,3,2,1,1] => [1,4,3,2,5,6] => 10011 => [1,3,1,1]
[2,1,1,1,3,4] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,1,1,4,3] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,1,3,1,4] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,1,3,4,1] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,1,4,1,3] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,1,4,3,1] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,3,1,1,4] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,3,1,4,1] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,3,4,1,1] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,4,1,1,3] => [2,1,4,3,5,6] => 01011 => [2,2,1,1]
[2,1,4,1,3,1] => [2,1,4,3,5,6] => 01011 => [2,2,1,1]
[2,1,4,3,1,1] => [2,1,4,3,5,6] => 01011 => [2,2,1,1]
[2,3,1,1,1,4] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,3,1,1,4,1] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,3,1,4,1,1] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,3,4,1,1,1] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,4,1,1,1,3] => [3,1,4,2,5,6] => 00011 => [4,1,1]
[2,4,1,1,3,1] => [3,1,4,2,5,6] => 00011 => [4,1,1]
[2,4,1,3,1,1] => [3,1,4,2,5,6] => 00011 => [4,1,1]
[2,4,3,1,1,1] => [4,1,3,2,5,6] => 00011 => [4,1,1]
[3,1,1,1,2,4] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,1,1,4,2] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,1,2,1,4] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,1,2,4,1] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,1,4,1,2] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,1,4,2,1] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,2,1,1,4] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,2,1,4,1] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,2,4,1,1] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,4,1,1,2] => [2,4,1,3,5,6] => 00011 => [4,1,1]
[3,1,4,1,2,1] => [2,4,1,3,5,6] => 00011 => [4,1,1]
[3,1,4,2,1,1] => [2,4,1,3,5,6] => 00011 => [4,1,1]
[3,2,1,1,1,4] => [3,2,1,4,5,6] => 00111 => [3,1,1,1]
[3,2,1,1,4,1] => [3,2,1,4,5,6] => 00111 => [3,1,1,1]
[3,2,1,4,1,1] => [3,2,1,4,5,6] => 00111 => [3,1,1,1]
[3,2,4,1,1,1] => [4,2,1,3,5,6] => 00011 => [4,1,1]
[3,4,1,1,1,2] => [3,4,1,2,5,6] => 00011 => [4,1,1]
[3,4,1,1,2,1] => [3,4,1,2,5,6] => 00011 => [4,1,1]
[3,4,1,2,1,1] => [3,4,1,2,5,6] => 00011 => [4,1,1]
[3,4,2,1,1,1] => [4,3,1,2,5,6] => 00011 => [4,1,1]
[4,1,1,1,2,3] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,1,1,3,2] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,1,2,1,3] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,1,2,3,1] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,1,3,1,2] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,1,3,2,1] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,2,1,1,3] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,2,1,3,1] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,2,3,1,1] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,3,1,1,2] => [2,4,3,1,5,6] => 00011 => [4,1,1]
[4,1,3,1,2,1] => [2,4,3,1,5,6] => 00011 => [4,1,1]
[4,1,3,2,1,1] => [2,4,3,1,5,6] => 00011 => [4,1,1]
[4,2,1,1,1,3] => [3,2,4,1,5,6] => 00011 => [4,1,1]
[4,2,1,1,3,1] => [3,2,4,1,5,6] => 00011 => [4,1,1]
[4,2,1,3,1,1] => [3,2,4,1,5,6] => 00011 => [4,1,1]
[4,2,3,1,1,1] => [4,2,3,1,5,6] => 00011 => [4,1,1]
[4,3,1,1,1,2] => [3,4,2,1,5,6] => 00011 => [4,1,1]
[4,3,1,1,2,1] => [3,4,2,1,5,6] => 00011 => [4,1,1]
[4,3,1,2,1,1] => [3,4,2,1,5,6] => 00011 => [4,1,1]
[4,3,2,1,1,1] => [4,3,2,1,5,6] => 00011 => [4,1,1]
[1,1,1,2,3,5] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,1,2,5,3] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,1,3,2,5] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,1,3,5,2] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,1,5,2,3] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,1,1,5,3,2] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,1,2,1,3,5] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,2,1,5,3] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,2,3,1,5] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,2,3,5,1] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,2,5,1,3] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,1,2,5,3,1] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,1,3,1,2,5] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,3,1,5,2] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,3,2,1,5] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,3,2,5,1] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,3,5,1,2] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,1,3,5,2,1] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,1,5,1,2,3] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,1,5,1,3,2] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,1,5,2,1,3] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,1,5,2,3,1] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,1,5,3,1,2] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,1,5,3,2,1] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,2,1,1,3,5] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,1,1,5,3] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,1,3,1,5] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,1,3,5,1] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,1,5,1,3] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,2,1,5,3,1] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,2,3,1,1,5] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,3,1,5,1] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,3,5,1,1] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,2,5,1,1,3] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,2,5,1,3,1] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,2,5,3,1,1] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,3,1,1,2,5] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,1,1,5,2] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,1,2,1,5] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,1,2,5,1] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,1,5,1,2] => [1,3,2,5,4,6] => 10101 => [1,2,2,1]
[1,3,1,5,2,1] => [1,3,2,5,4,6] => 10101 => [1,2,2,1]
[1,3,2,1,1,5] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,2,1,5,1] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,2,5,1,1] => [1,3,2,5,4,6] => 10101 => [1,2,2,1]
[1,3,5,1,1,2] => [1,4,2,5,3,6] => 10001 => [1,4,1]
[1,3,5,1,2,1] => [1,4,2,5,3,6] => 10001 => [1,4,1]
[1,3,5,2,1,1] => [1,4,2,5,3,6] => 10001 => [1,4,1]
[1,5,1,1,2,3] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,1,1,3,2] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,1,2,1,3] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,1,2,3,1] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,1,3,1,2] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,1,3,2,1] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,2,1,1,3] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,2,1,3,1] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,2,3,1,1] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,3,1,1,2] => [1,4,3,5,2,6] => 10001 => [1,4,1]
[1,5,3,1,2,1] => [1,4,3,5,2,6] => 10001 => [1,4,1]
[1,5,3,2,1,1] => [1,4,3,5,2,6] => 10001 => [1,4,1]
[2,1,1,1,3,5] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,1,1,5,3] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,1,3,1,5] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,1,3,5,1] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,1,5,1,3] => [2,1,3,5,4,6] => 01101 => [2,1,2,1]
[2,1,1,5,3,1] => [2,1,3,5,4,6] => 01101 => [2,1,2,1]
[2,1,3,1,1,5] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,3,1,5,1] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,3,5,1,1] => [2,1,3,5,4,6] => 01101 => [2,1,2,1]
[2,1,5,1,1,3] => [2,1,4,5,3,6] => 01001 => [2,3,1]
[2,1,5,1,3,1] => [2,1,4,5,3,6] => 01001 => [2,3,1]
[2,1,5,3,1,1] => [2,1,4,5,3,6] => 01001 => [2,3,1]
[2,3,1,1,1,5] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,3,1,1,5,1] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,3,1,5,1,1] => [3,1,2,5,4,6] => 00101 => [3,2,1]
[2,3,5,1,1,1] => [4,1,2,5,3,6] => 00001 => [5,1]
[2,5,1,1,1,3] => [3,1,4,5,2,6] => 00001 => [5,1]
[2,5,1,1,3,1] => [3,1,4,5,2,6] => 00001 => [5,1]
[2,5,1,3,1,1] => [3,1,4,5,2,6] => 00001 => [5,1]
[2,5,3,1,1,1] => [4,1,3,5,2,6] => 00001 => [5,1]
[3,1,1,1,2,5] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,1,1,5,2] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,1,2,1,5] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,1,2,5,1] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,1,5,1,2] => [2,3,1,5,4,6] => 00101 => [3,2,1]
[3,1,1,5,2,1] => [2,3,1,5,4,6] => 00101 => [3,2,1]
[3,1,2,1,1,5] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,2,1,5,1] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,2,5,1,1] => [2,3,1,5,4,6] => 00101 => [3,2,1]
[3,1,5,1,1,2] => [2,4,1,5,3,6] => 00001 => [5,1]
[3,1,5,1,2,1] => [2,4,1,5,3,6] => 00001 => [5,1]
[3,1,5,2,1,1] => [2,4,1,5,3,6] => 00001 => [5,1]
[3,2,1,1,1,5] => [3,2,1,4,5,6] => 00111 => [3,1,1,1]
[3,2,1,1,5,1] => [3,2,1,4,5,6] => 00111 => [3,1,1,1]
[3,2,1,5,1,1] => [3,2,1,5,4,6] => 00101 => [3,2,1]
[3,2,5,1,1,1] => [4,2,1,5,3,6] => 00001 => [5,1]
[3,5,1,1,1,2] => [3,4,1,5,2,6] => 00001 => [5,1]
[3,5,1,1,2,1] => [3,4,1,5,2,6] => 00001 => [5,1]
[3,5,1,2,1,1] => [3,4,1,5,2,6] => 00001 => [5,1]
[3,5,2,1,1,1] => [4,3,1,5,2,6] => 00001 => [5,1]
[5,1,1,1,2,3] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,1,1,3,2] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,1,2,1,3] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,1,2,3,1] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,1,3,1,2] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,1,3,2,1] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,2,1,1,3] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,2,1,3,1] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,2,3,1,1] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,3,1,1,2] => [2,4,3,5,1,6] => 00001 => [5,1]
[5,1,3,1,2,1] => [2,4,3,5,1,6] => 00001 => [5,1]
[5,1,3,2,1,1] => [2,4,3,5,1,6] => 00001 => [5,1]
[5,2,1,1,1,3] => [3,2,4,5,1,6] => 00001 => [5,1]
[5,2,1,1,3,1] => [3,2,4,5,1,6] => 00001 => [5,1]
[5,2,1,3,1,1] => [3,2,4,5,1,6] => 00001 => [5,1]
[5,2,3,1,1,1] => [4,2,3,5,1,6] => 00001 => [5,1]
[5,3,1,1,1,2] => [3,4,2,5,1,6] => 00001 => [5,1]
[5,3,1,1,2,1] => [3,4,2,5,1,6] => 00001 => [5,1]
[5,3,1,2,1,1] => [3,4,2,5,1,6] => 00001 => [5,1]
[5,3,2,1,1,1] => [4,3,2,5,1,6] => 00001 => [5,1]
[1,1,1,2,3,6] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,1,2,6,3] => [1,2,3,4,6,5] => 11110 => [1,1,1,1,2]
[1,1,1,3,2,6] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,1,3,6,2] => [1,2,3,4,6,5] => 11110 => [1,1,1,1,2]
[1,1,1,6,2,3] => [1,2,3,5,6,4] => 11100 => [1,1,1,3]
[1,1,1,6,3,2] => [1,2,3,5,6,4] => 11100 => [1,1,1,3]
[1,1,2,1,3,6] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,2,1,6,3] => [1,2,3,4,6,5] => 11110 => [1,1,1,1,2]
[1,1,2,3,1,6] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,2,3,6,1] => [1,2,3,4,6,5] => 11110 => [1,1,1,1,2]
[1,1,2,6,1,3] => [1,2,3,5,6,4] => 11100 => [1,1,1,3]
[1,1,2,6,3,1] => [1,2,3,5,6,4] => 11100 => [1,1,1,3]
[1,1,3,1,2,6] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,3,1,6,2] => [1,2,3,4,6,5] => 11110 => [1,1,1,1,2]
[1,1,3,2,1,6] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,3,2,6,1] => [1,2,3,4,6,5] => 11110 => [1,1,1,1,2]
[1,1,3,6,1,2] => [1,2,3,5,6,4] => 11100 => [1,1,1,3]
[1,1,3,6,2,1] => [1,2,3,5,6,4] => 11100 => [1,1,1,3]
[1,1,6,1,2,3] => [1,2,4,5,6,3] => 11000 => [1,1,4]
[1,1,6,1,3,2] => [1,2,4,5,6,3] => 11000 => [1,1,4]
[1,1,6,2,1,3] => [1,2,4,5,6,3] => 11000 => [1,1,4]
[1,1,6,2,3,1] => [1,2,4,5,6,3] => 11000 => [1,1,4]
[1,1,6,3,1,2] => [1,2,4,5,6,3] => 11000 => [1,1,4]
[1,1,6,3,2,1] => [1,2,4,5,6,3] => 11000 => [1,1,4]
[1,2,1,1,3,6] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,1,1,6,3] => [1,2,3,4,6,5] => 11110 => [1,1,1,1,2]
[1,2,1,3,1,6] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,1,3,6,1] => [1,2,3,4,6,5] => 11110 => [1,1,1,1,2]
[1,2,1,6,1,3] => [1,2,3,5,6,4] => 11100 => [1,1,1,3]
[1,2,1,6,3,1] => [1,2,3,5,6,4] => 11100 => [1,1,1,3]
[1,2,3,1,1,6] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,3,1,6,1] => [1,2,3,4,6,5] => 11110 => [1,1,1,1,2]
[1,2,3,6,1,1] => [1,2,3,5,6,4] => 11100 => [1,1,1,3]
[1,2,6,1,1,3] => [1,2,4,5,6,3] => 11000 => [1,1,4]
[1,2,6,1,3,1] => [1,2,4,5,6,3] => 11000 => [1,1,4]
[1,2,6,3,1,1] => [1,2,4,5,6,3] => 11000 => [1,1,4]
[1,3,1,1,2,6] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,1,1,6,2] => [1,3,2,4,6,5] => 10110 => [1,2,1,2]
[1,3,1,2,1,6] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,1,2,6,1] => [1,3,2,4,6,5] => 10110 => [1,2,1,2]
[1,3,1,6,1,2] => [1,3,2,5,6,4] => 10100 => [1,2,3]
[1,3,1,6,2,1] => [1,3,2,5,6,4] => 10100 => [1,2,3]
[1,3,2,1,1,6] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,2,1,6,1] => [1,3,2,4,6,5] => 10110 => [1,2,1,2]
[1,3,2,6,1,1] => [1,3,2,5,6,4] => 10100 => [1,2,3]
[1,3,6,1,1,2] => [1,4,2,5,6,3] => 10000 => [1,5]
[1,3,6,1,2,1] => [1,4,2,5,6,3] => 10000 => [1,5]
[1,3,6,2,1,1] => [1,4,2,5,6,3] => 10000 => [1,5]
[1,6,1,1,2,3] => [1,3,4,5,6,2] => 10000 => [1,5]
[1,6,1,1,3,2] => [1,3,4,5,6,2] => 10000 => [1,5]
[1,6,1,2,1,3] => [1,3,4,5,6,2] => 10000 => [1,5]
[1,6,1,2,3,1] => [1,3,4,5,6,2] => 10000 => [1,5]
[1,6,1,3,1,2] => [1,3,4,5,6,2] => 10000 => [1,5]
[1,6,1,3,2,1] => [1,3,4,5,6,2] => 10000 => [1,5]
[1,6,2,1,1,3] => [1,3,4,5,6,2] => 10000 => [1,5]
[1,6,2,1,3,1] => [1,3,4,5,6,2] => 10000 => [1,5]
[1,6,2,3,1,1] => [1,3,4,5,6,2] => 10000 => [1,5]
[1,6,3,1,1,2] => [1,4,3,5,6,2] => 10000 => [1,5]
[1,6,3,1,2,1] => [1,4,3,5,6,2] => 10000 => [1,5]
[1,6,3,2,1,1] => [1,4,3,5,6,2] => 10000 => [1,5]
[2,1,1,1,3,6] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,1,1,6,3] => [2,1,3,4,6,5] => 01110 => [2,1,1,2]
[2,1,1,3,1,6] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,1,3,6,1] => [2,1,3,4,6,5] => 01110 => [2,1,1,2]
[2,1,1,6,1,3] => [2,1,3,5,6,4] => 01100 => [2,1,3]
[2,1,1,6,3,1] => [2,1,3,5,6,4] => 01100 => [2,1,3]
[2,1,3,1,1,6] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,3,1,6,1] => [2,1,3,4,6,5] => 01110 => [2,1,1,2]
[2,1,3,6,1,1] => [2,1,3,5,6,4] => 01100 => [2,1,3]
[2,1,6,1,1,3] => [2,1,4,5,6,3] => 01000 => [2,4]
[2,1,6,1,3,1] => [2,1,4,5,6,3] => 01000 => [2,4]
[2,1,6,3,1,1] => [2,1,4,5,6,3] => 01000 => [2,4]
[2,3,1,1,1,6] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,3,1,1,6,1] => [3,1,2,4,6,5] => 00110 => [3,1,2]
[2,3,1,6,1,1] => [3,1,2,5,6,4] => 00100 => [3,3]
[2,3,6,1,1,1] => [4,1,2,5,6,3] => 00000 => [6]
[2,6,1,1,1,3] => [3,1,4,5,6,2] => 00000 => [6]
[2,6,1,1,3,1] => [3,1,4,5,6,2] => 00000 => [6]
[2,6,1,3,1,1] => [3,1,4,5,6,2] => 00000 => [6]
[2,6,3,1,1,1] => [4,1,3,5,6,2] => 00000 => [6]
[3,1,1,1,2,6] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,1,1,6,2] => [2,3,1,4,6,5] => 00110 => [3,1,2]
[3,1,1,2,1,6] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,1,2,6,1] => [2,3,1,4,6,5] => 00110 => [3,1,2]
[3,1,1,6,1,2] => [2,3,1,5,6,4] => 00100 => [3,3]
[3,1,1,6,2,1] => [2,3,1,5,6,4] => 00100 => [3,3]
[3,1,2,1,1,6] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,2,1,6,1] => [2,3,1,4,6,5] => 00110 => [3,1,2]
[3,1,2,6,1,1] => [2,3,1,5,6,4] => 00100 => [3,3]
[3,1,6,1,1,2] => [2,4,1,5,6,3] => 00000 => [6]
[3,1,6,1,2,1] => [2,4,1,5,6,3] => 00000 => [6]
[3,1,6,2,1,1] => [2,4,1,5,6,3] => 00000 => [6]
[3,2,1,1,1,6] => [3,2,1,4,5,6] => 00111 => [3,1,1,1]
[3,2,1,1,6,1] => [3,2,1,4,6,5] => 00110 => [3,1,2]
[3,2,1,6,1,1] => [3,2,1,5,6,4] => 00100 => [3,3]
[3,2,6,1,1,1] => [4,2,1,5,6,3] => 00000 => [6]
[3,6,1,1,1,2] => [3,4,1,5,6,2] => 00000 => [6]
[3,6,1,1,2,1] => [3,4,1,5,6,2] => 00000 => [6]
[3,6,1,2,1,1] => [3,4,1,5,6,2] => 00000 => [6]
[3,6,2,1,1,1] => [4,3,1,5,6,2] => 00000 => [6]
[6,1,1,1,2,3] => [2,3,4,5,6,1] => 00000 => [6]
[6,1,1,1,3,2] => [2,3,4,5,6,1] => 00000 => [6]
[6,1,1,2,1,3] => [2,3,4,5,6,1] => 00000 => [6]
[6,1,1,2,3,1] => [2,3,4,5,6,1] => 00000 => [6]
[6,1,1,3,1,2] => [2,3,4,5,6,1] => 00000 => [6]
[6,1,1,3,2,1] => [2,3,4,5,6,1] => 00000 => [6]
[6,1,2,1,1,3] => [2,3,4,5,6,1] => 00000 => [6]
[6,1,2,1,3,1] => [2,3,4,5,6,1] => 00000 => [6]
[6,1,2,3,1,1] => [2,3,4,5,6,1] => 00000 => [6]
[6,1,3,1,1,2] => [2,4,3,5,6,1] => 00000 => [6]
[6,1,3,1,2,1] => [2,4,3,5,6,1] => 00000 => [6]
[6,1,3,2,1,1] => [2,4,3,5,6,1] => 00000 => [6]
[6,2,1,1,1,3] => [3,2,4,5,6,1] => 00000 => [6]
[6,2,1,1,3,1] => [3,2,4,5,6,1] => 00000 => [6]
[6,2,1,3,1,1] => [3,2,4,5,6,1] => 00000 => [6]
[6,2,3,1,1,1] => [4,2,3,5,6,1] => 00000 => [6]
[6,3,1,1,1,2] => [3,4,2,5,6,1] => 00000 => [6]
[6,3,1,1,2,1] => [3,4,2,5,6,1] => 00000 => [6]
[6,3,1,2,1,1] => [3,4,2,5,6,1] => 00000 => [6]
[6,3,2,1,1,1] => [4,3,2,5,6,1] => 00000 => [6]
[1,1,1,2,4,4] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,1,4,2,4] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,1,4,4,2] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,2,1,4,4] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,2,4,1,4] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,2,4,4,1] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,4,1,2,4] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,1,4,1,4,2] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,1,4,2,1,4] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,1,4,2,4,1] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,1,4,4,1,2] => [1,2,5,3,4,6] => 11001 => [1,1,3,1]
[1,1,4,4,2,1] => [1,2,5,3,4,6] => 11001 => [1,1,3,1]
[1,2,1,1,4,4] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,1,4,1,4] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,1,4,4,1] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,4,1,1,4] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,2,4,1,4,1] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,2,4,4,1,1] => [1,2,5,3,4,6] => 11001 => [1,1,3,1]
[1,4,1,1,2,4] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,1,1,4,2] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,1,2,1,4] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,1,2,4,1] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,1,4,1,2] => [1,3,5,2,4,6] => 10001 => [1,4,1]
[1,4,1,4,2,1] => [1,3,5,2,4,6] => 10001 => [1,4,1]
[1,4,2,1,1,4] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,2,1,4,1] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,2,4,1,1] => [1,3,5,2,4,6] => 10001 => [1,4,1]
[1,4,4,1,1,2] => [1,4,5,2,3,6] => 10001 => [1,4,1]
[1,4,4,1,2,1] => [1,4,5,2,3,6] => 10001 => [1,4,1]
[1,4,4,2,1,1] => [1,4,5,2,3,6] => 10001 => [1,4,1]
[2,1,1,1,4,4] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,1,4,1,4] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,1,4,4,1] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,4,1,1,4] => [2,1,4,3,5,6] => 01011 => [2,2,1,1]
[2,1,4,1,4,1] => [2,1,4,3,5,6] => 01011 => [2,2,1,1]
[2,1,4,4,1,1] => [2,1,5,3,4,6] => 01001 => [2,3,1]
[2,4,1,1,1,4] => [3,1,4,2,5,6] => 00011 => [4,1,1]
[2,4,1,1,4,1] => [3,1,4,2,5,6] => 00011 => [4,1,1]
[2,4,1,4,1,1] => [3,1,5,2,4,6] => 00001 => [5,1]
[2,4,4,1,1,1] => [4,1,5,2,3,6] => 00001 => [5,1]
[4,1,1,1,2,4] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,1,1,4,2] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,1,2,1,4] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,1,2,4,1] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,1,4,1,2] => [2,3,5,1,4,6] => 00001 => [5,1]
[4,1,1,4,2,1] => [2,3,5,1,4,6] => 00001 => [5,1]
[4,1,2,1,1,4] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,2,1,4,1] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,2,4,1,1] => [2,3,5,1,4,6] => 00001 => [5,1]
[4,1,4,1,1,2] => [2,4,5,1,3,6] => 00001 => [5,1]
[4,1,4,1,2,1] => [2,4,5,1,3,6] => 00001 => [5,1]
[4,1,4,2,1,1] => [2,4,5,1,3,6] => 00001 => [5,1]
[4,2,1,1,1,4] => [3,2,4,1,5,6] => 00011 => [4,1,1]
[4,2,1,1,4,1] => [3,2,4,1,5,6] => 00011 => [4,1,1]
[4,2,1,4,1,1] => [3,2,5,1,4,6] => 00001 => [5,1]
[4,2,4,1,1,1] => [4,2,5,1,3,6] => 00001 => [5,1]
[4,4,1,1,1,2] => [3,4,5,1,2,6] => 00001 => [5,1]
[4,4,1,1,2,1] => [3,4,5,1,2,6] => 00001 => [5,1]
[4,4,1,2,1,1] => [3,4,5,1,2,6] => 00001 => [5,1]
[4,4,2,1,1,1] => [4,3,5,1,2,6] => 00001 => [5,1]
[1,1,1,2,4,5] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,1,2,5,4] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,1,4,2,5] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,1,4,5,2] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,1,5,2,4] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,1,1,5,4,2] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,1,2,1,4,5] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,2,1,5,4] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,2,4,1,5] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,2,4,5,1] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,2,5,1,4] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,1,2,5,4,1] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,1,4,1,2,5] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,1,4,1,5,2] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,1,4,2,1,5] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,1,4,2,5,1] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,1,4,5,1,2] => [1,2,5,3,4,6] => 11001 => [1,1,3,1]
[1,1,4,5,2,1] => [1,2,5,3,4,6] => 11001 => [1,1,3,1]
[1,1,5,1,2,4] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,1,5,1,4,2] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,1,5,2,1,4] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,1,5,2,4,1] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,1,5,4,1,2] => [1,2,5,4,3,6] => 11001 => [1,1,3,1]
[1,1,5,4,2,1] => [1,2,5,4,3,6] => 11001 => [1,1,3,1]
[1,2,1,1,4,5] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,1,1,5,4] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,1,4,1,5] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,1,4,5,1] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,1,5,1,4] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,2,1,5,4,1] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,2,4,1,1,5] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,2,4,1,5,1] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,2,4,5,1,1] => [1,2,5,3,4,6] => 11001 => [1,1,3,1]
[1,2,5,1,1,4] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,2,5,1,4,1] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,2,5,4,1,1] => [1,2,5,4,3,6] => 11001 => [1,1,3,1]
[1,4,1,1,2,5] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,1,1,5,2] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,1,2,1,5] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,1,2,5,1] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,1,5,1,2] => [1,3,5,2,4,6] => 10001 => [1,4,1]
[1,4,1,5,2,1] => [1,3,5,2,4,6] => 10001 => [1,4,1]
[1,4,2,1,1,5] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,2,1,5,1] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,2,5,1,1] => [1,3,5,2,4,6] => 10001 => [1,4,1]
[1,4,5,1,1,2] => [1,4,5,2,3,6] => 10001 => [1,4,1]
[1,4,5,1,2,1] => [1,4,5,2,3,6] => 10001 => [1,4,1]
[1,4,5,2,1,1] => [1,4,5,2,3,6] => 10001 => [1,4,1]
[1,5,1,1,2,4] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,1,1,4,2] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,1,2,1,4] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,1,2,4,1] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,1,4,1,2] => [1,3,5,4,2,6] => 10001 => [1,4,1]
[1,5,1,4,2,1] => [1,3,5,4,2,6] => 10001 => [1,4,1]
[1,5,2,1,1,4] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,2,1,4,1] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,2,4,1,1] => [1,3,5,4,2,6] => 10001 => [1,4,1]
[1,5,4,1,1,2] => [1,4,5,3,2,6] => 10001 => [1,4,1]
[1,5,4,1,2,1] => [1,4,5,3,2,6] => 10001 => [1,4,1]
[1,5,4,2,1,1] => [1,4,5,3,2,6] => 10001 => [1,4,1]
[2,1,1,1,4,5] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,1,1,5,4] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,1,4,1,5] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,1,4,5,1] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,1,5,1,4] => [2,1,3,5,4,6] => 01101 => [2,1,2,1]
[2,1,1,5,4,1] => [2,1,3,5,4,6] => 01101 => [2,1,2,1]
[2,1,4,1,1,5] => [2,1,4,3,5,6] => 01011 => [2,2,1,1]
[2,1,4,1,5,1] => [2,1,4,3,5,6] => 01011 => [2,2,1,1]
[2,1,4,5,1,1] => [2,1,5,3,4,6] => 01001 => [2,3,1]
[2,1,5,1,1,4] => [2,1,4,5,3,6] => 01001 => [2,3,1]
[2,1,5,1,4,1] => [2,1,4,5,3,6] => 01001 => [2,3,1]
[2,1,5,4,1,1] => [2,1,5,4,3,6] => 01001 => [2,3,1]
[2,4,1,1,1,5] => [3,1,4,2,5,6] => 00011 => [4,1,1]
[2,4,1,1,5,1] => [3,1,4,2,5,6] => 00011 => [4,1,1]
[2,4,1,5,1,1] => [3,1,5,2,4,6] => 00001 => [5,1]
[2,4,5,1,1,1] => [4,1,5,2,3,6] => 00001 => [5,1]
[2,5,1,1,1,4] => [3,1,4,5,2,6] => 00001 => [5,1]
[2,5,1,1,4,1] => [3,1,4,5,2,6] => 00001 => [5,1]
[2,5,1,4,1,1] => [3,1,5,4,2,6] => 00001 => [5,1]
[2,5,4,1,1,1] => [4,1,5,3,2,6] => 00001 => [5,1]
[4,1,1,1,2,5] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,1,1,5,2] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,1,2,1,5] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,1,2,5,1] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,1,5,1,2] => [2,3,5,1,4,6] => 00001 => [5,1]
[4,1,1,5,2,1] => [2,3,5,1,4,6] => 00001 => [5,1]
[4,1,2,1,1,5] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,2,1,5,1] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,2,5,1,1] => [2,3,5,1,4,6] => 00001 => [5,1]
[4,1,5,1,1,2] => [2,4,5,1,3,6] => 00001 => [5,1]
[4,1,5,1,2,1] => [2,4,5,1,3,6] => 00001 => [5,1]
[4,1,5,2,1,1] => [2,4,5,1,3,6] => 00001 => [5,1]
[4,2,1,1,1,5] => [3,2,4,1,5,6] => 00011 => [4,1,1]
[4,2,1,1,5,1] => [3,2,4,1,5,6] => 00011 => [4,1,1]
[4,2,1,5,1,1] => [3,2,5,1,4,6] => 00001 => [5,1]
[4,2,5,1,1,1] => [4,2,5,1,3,6] => 00001 => [5,1]
[4,5,1,1,1,2] => [3,4,5,1,2,6] => 00001 => [5,1]
[4,5,1,1,2,1] => [3,4,5,1,2,6] => 00001 => [5,1]
[4,5,1,2,1,1] => [3,4,5,1,2,6] => 00001 => [5,1]
[4,5,2,1,1,1] => [4,3,5,1,2,6] => 00001 => [5,1]
[5,1,1,1,2,4] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,1,1,4,2] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,1,2,1,4] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,1,2,4,1] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,1,4,1,2] => [2,3,5,4,1,6] => 00001 => [5,1]
[5,1,1,4,2,1] => [2,3,5,4,1,6] => 00001 => [5,1]
[5,1,2,1,1,4] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,2,1,4,1] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,2,4,1,1] => [2,3,5,4,1,6] => 00001 => [5,1]
[5,1,4,1,1,2] => [2,4,5,3,1,6] => 00001 => [5,1]
[5,1,4,1,2,1] => [2,4,5,3,1,6] => 00001 => [5,1]
[5,1,4,2,1,1] => [2,4,5,3,1,6] => 00001 => [5,1]
[5,2,1,1,1,4] => [3,2,4,5,1,6] => 00001 => [5,1]
[5,2,1,1,4,1] => [3,2,4,5,1,6] => 00001 => [5,1]
[5,2,1,4,1,1] => [3,2,5,4,1,6] => 00001 => [5,1]
[5,2,4,1,1,1] => [4,2,5,3,1,6] => 00001 => [5,1]
[5,4,1,1,1,2] => [3,4,5,2,1,6] => 00001 => [5,1]
[5,4,1,1,2,1] => [3,4,5,2,1,6] => 00001 => [5,1]
[5,4,1,2,1,1] => [3,4,5,2,1,6] => 00001 => [5,1]
[5,4,2,1,1,1] => [4,3,5,2,1,6] => 00001 => [5,1]
[1,1,1,2,4,6] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,1,2,6,4] => [1,2,3,4,6,5] => 11110 => [1,1,1,1,2]
[1,1,1,4,2,6] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,1,4,6,2] => [1,2,3,4,6,5] => 11110 => [1,1,1,1,2]
[1,1,1,6,2,4] => [1,2,3,5,6,4] => 11100 => [1,1,1,3]
[1,1,1,6,4,2] => [1,2,3,5,6,4] => 11100 => [1,1,1,3]
[1,1,2,1,4,6] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,2,1,6,4] => [1,2,3,4,6,5] => 11110 => [1,1,1,1,2]
[1,1,2,4,1,6] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,2,4,6,1] => [1,2,3,4,6,5] => 11110 => [1,1,1,1,2]
[1,1,2,6,1,4] => [1,2,3,5,6,4] => 11100 => [1,1,1,3]
[1,1,2,6,4,1] => [1,2,3,5,6,4] => 11100 => [1,1,1,3]
[1,1,4,1,2,6] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,1,4,1,6,2] => [1,2,4,3,6,5] => 11010 => [1,1,2,2]
[1,1,4,2,1,6] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,1,4,2,6,1] => [1,2,4,3,6,5] => 11010 => [1,1,2,2]
[1,1,4,6,1,2] => [1,2,5,3,6,4] => 11000 => [1,1,4]
[1,1,4,6,2,1] => [1,2,5,3,6,4] => 11000 => [1,1,4]
[1,1,6,1,2,4] => [1,2,4,5,6,3] => 11000 => [1,1,4]
[1,1,6,1,4,2] => [1,2,4,5,6,3] => 11000 => [1,1,4]
[1,1,6,2,1,4] => [1,2,4,5,6,3] => 11000 => [1,1,4]
[1,1,6,2,4,1] => [1,2,4,5,6,3] => 11000 => [1,1,4]
[1,1,6,4,1,2] => [1,2,5,4,6,3] => 11000 => [1,1,4]
[1,1,6,4,2,1] => [1,2,5,4,6,3] => 11000 => [1,1,4]
[1,2,1,1,4,6] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,1,1,6,4] => [1,2,3,4,6,5] => 11110 => [1,1,1,1,2]
[1,2,1,4,1,6] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,1,4,6,1] => [1,2,3,4,6,5] => 11110 => [1,1,1,1,2]
[1,2,1,6,1,4] => [1,2,3,5,6,4] => 11100 => [1,1,1,3]
[1,2,1,6,4,1] => [1,2,3,5,6,4] => 11100 => [1,1,1,3]
[1,2,4,1,1,6] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,2,4,1,6,1] => [1,2,4,3,6,5] => 11010 => [1,1,2,2]
[1,2,4,6,1,1] => [1,2,5,3,6,4] => 11000 => [1,1,4]
[1,2,6,1,1,4] => [1,2,4,5,6,3] => 11000 => [1,1,4]
[1,2,6,1,4,1] => [1,2,4,5,6,3] => 11000 => [1,1,4]
[1,2,6,4,1,1] => [1,2,5,4,6,3] => 11000 => [1,1,4]
[1,4,1,1,2,6] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,1,1,6,2] => [1,3,4,2,6,5] => 10010 => [1,3,2]
[1,4,1,2,1,6] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,1,2,6,1] => [1,3,4,2,6,5] => 10010 => [1,3,2]
[1,4,1,6,1,2] => [1,3,5,2,6,4] => 10000 => [1,5]
[1,4,1,6,2,1] => [1,3,5,2,6,4] => 10000 => [1,5]
[1,4,2,1,1,6] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,2,1,6,1] => [1,3,4,2,6,5] => 10010 => [1,3,2]
[1,4,2,6,1,1] => [1,3,5,2,6,4] => 10000 => [1,5]
[1,4,6,1,1,2] => [1,4,5,2,6,3] => 10000 => [1,5]
[1,4,6,1,2,1] => [1,4,5,2,6,3] => 10000 => [1,5]
[1,4,6,2,1,1] => [1,4,5,2,6,3] => 10000 => [1,5]
[1,6,1,1,2,4] => [1,3,4,5,6,2] => 10000 => [1,5]
[1,6,1,1,4,2] => [1,3,4,5,6,2] => 10000 => [1,5]
[1,6,1,2,1,4] => [1,3,4,5,6,2] => 10000 => [1,5]
[1,6,1,2,4,1] => [1,3,4,5,6,2] => 10000 => [1,5]
[1,6,1,4,1,2] => [1,3,5,4,6,2] => 10000 => [1,5]
[1,6,1,4,2,1] => [1,3,5,4,6,2] => 10000 => [1,5]
[1,6,2,1,1,4] => [1,3,4,5,6,2] => 10000 => [1,5]
[1,6,2,1,4,1] => [1,3,4,5,6,2] => 10000 => [1,5]
[1,6,2,4,1,1] => [1,3,5,4,6,2] => 10000 => [1,5]
[1,6,4,1,1,2] => [1,4,5,3,6,2] => 10000 => [1,5]
[1,6,4,1,2,1] => [1,4,5,3,6,2] => 10000 => [1,5]
[1,6,4,2,1,1] => [1,4,5,3,6,2] => 10000 => [1,5]
[2,1,1,1,4,6] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,1,1,6,4] => [2,1,3,4,6,5] => 01110 => [2,1,1,2]
[2,1,1,4,1,6] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,1,4,6,1] => [2,1,3,4,6,5] => 01110 => [2,1,1,2]
[2,1,1,6,1,4] => [2,1,3,5,6,4] => 01100 => [2,1,3]
[2,1,1,6,4,1] => [2,1,3,5,6,4] => 01100 => [2,1,3]
[2,1,4,1,1,6] => [2,1,4,3,5,6] => 01011 => [2,2,1,1]
[2,1,4,1,6,1] => [2,1,4,3,6,5] => 01010 => [2,2,2]
[2,1,4,6,1,1] => [2,1,5,3,6,4] => 01000 => [2,4]
[2,1,6,1,1,4] => [2,1,4,5,6,3] => 01000 => [2,4]
[2,1,6,1,4,1] => [2,1,4,5,6,3] => 01000 => [2,4]
[2,1,6,4,1,1] => [2,1,5,4,6,3] => 01000 => [2,4]
[2,4,1,1,1,6] => [3,1,4,2,5,6] => 00011 => [4,1,1]
[2,4,1,1,6,1] => [3,1,4,2,6,5] => 00010 => [4,2]
[2,4,1,6,1,1] => [3,1,5,2,6,4] => 00000 => [6]
[2,4,6,1,1,1] => [4,1,5,2,6,3] => 00000 => [6]
[2,6,1,1,1,4] => [3,1,4,5,6,2] => 00000 => [6]
[2,6,1,1,4,1] => [3,1,4,5,6,2] => 00000 => [6]
[2,6,1,4,1,1] => [3,1,5,4,6,2] => 00000 => [6]
[2,6,4,1,1,1] => [4,1,5,3,6,2] => 00000 => [6]
[4,1,1,1,2,6] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,1,1,6,2] => [2,3,4,1,6,5] => 00010 => [4,2]
[4,1,1,2,1,6] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,1,2,6,1] => [2,3,4,1,6,5] => 00010 => [4,2]
[4,1,1,6,1,2] => [2,3,5,1,6,4] => 00000 => [6]
[4,1,1,6,2,1] => [2,3,5,1,6,4] => 00000 => [6]
[4,1,2,1,1,6] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,2,1,6,1] => [2,3,4,1,6,5] => 00010 => [4,2]
[4,1,2,6,1,1] => [2,3,5,1,6,4] => 00000 => [6]
[4,1,6,1,1,2] => [2,4,5,1,6,3] => 00000 => [6]
[4,1,6,1,2,1] => [2,4,5,1,6,3] => 00000 => [6]
[4,1,6,2,1,1] => [2,4,5,1,6,3] => 00000 => [6]
[4,2,1,1,1,6] => [3,2,4,1,5,6] => 00011 => [4,1,1]
[4,2,1,1,6,1] => [3,2,4,1,6,5] => 00010 => [4,2]
[4,2,1,6,1,1] => [3,2,5,1,6,4] => 00000 => [6]
[4,2,6,1,1,1] => [4,2,5,1,6,3] => 00000 => [6]
[4,6,1,1,1,2] => [3,4,5,1,6,2] => 00000 => [6]
[4,6,1,1,2,1] => [3,4,5,1,6,2] => 00000 => [6]
[4,6,1,2,1,1] => [3,4,5,1,6,2] => 00000 => [6]
[4,6,2,1,1,1] => [4,3,5,1,6,2] => 00000 => [6]
[6,1,1,1,2,4] => [2,3,4,5,6,1] => 00000 => [6]
[6,1,1,1,4,2] => [2,3,4,5,6,1] => 00000 => [6]
[6,1,1,2,1,4] => [2,3,4,5,6,1] => 00000 => [6]
[6,1,1,2,4,1] => [2,3,4,5,6,1] => 00000 => [6]
[6,1,1,4,1,2] => [2,3,5,4,6,1] => 00000 => [6]
[6,1,1,4,2,1] => [2,3,5,4,6,1] => 00000 => [6]
[6,1,2,1,1,4] => [2,3,4,5,6,1] => 00000 => [6]
[6,1,2,1,4,1] => [2,3,4,5,6,1] => 00000 => [6]
[6,1,2,4,1,1] => [2,3,5,4,6,1] => 00000 => [6]
[6,1,4,1,1,2] => [2,4,5,3,6,1] => 00000 => [6]
[6,1,4,1,2,1] => [2,4,5,3,6,1] => 00000 => [6]
[6,1,4,2,1,1] => [2,4,5,3,6,1] => 00000 => [6]
[6,2,1,1,1,4] => [3,2,4,5,6,1] => 00000 => [6]
[6,2,1,1,4,1] => [3,2,4,5,6,1] => 00000 => [6]
[6,2,1,4,1,1] => [3,2,5,4,6,1] => 00000 => [6]
[6,2,4,1,1,1] => [4,2,5,3,6,1] => 00000 => [6]
[6,4,1,1,1,2] => [3,4,5,2,6,1] => 00000 => [6]
[6,4,1,1,2,1] => [3,4,5,2,6,1] => 00000 => [6]
[6,4,1,2,1,1] => [3,4,5,2,6,1] => 00000 => [6]
[6,4,2,1,1,1] => [4,3,5,2,6,1] => 00000 => [6]
[1,1,1,2,5,5] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,1,5,2,5] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,1,1,5,5,2] => [1,2,3,6,4,5] => 11100 => [1,1,1,3]
[1,1,2,1,5,5] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,2,5,1,5] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,1,2,5,5,1] => [1,2,3,6,4,5] => 11100 => [1,1,1,3]
[1,1,5,1,2,5] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,1,5,1,5,2] => [1,2,4,6,3,5] => 11000 => [1,1,4]
[1,1,5,2,1,5] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,1,5,2,5,1] => [1,2,4,6,3,5] => 11000 => [1,1,4]
[1,1,5,5,1,2] => [1,2,5,6,3,4] => 11000 => [1,1,4]
[1,1,5,5,2,1] => [1,2,5,6,3,4] => 11000 => [1,1,4]
[1,2,1,1,5,5] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,1,5,1,5] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,2,1,5,5,1] => [1,2,3,6,4,5] => 11100 => [1,1,1,3]
[1,2,5,1,1,5] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,2,5,1,5,1] => [1,2,4,6,3,5] => 11000 => [1,1,4]
[1,2,5,5,1,1] => [1,2,5,6,3,4] => 11000 => [1,1,4]
[1,5,1,1,2,5] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,1,1,5,2] => [1,3,4,6,2,5] => 10000 => [1,5]
[1,5,1,2,1,5] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,1,2,5,1] => [1,3,4,6,2,5] => 10000 => [1,5]
[1,5,1,5,1,2] => [1,3,5,6,2,4] => 10000 => [1,5]
[1,5,1,5,2,1] => [1,3,5,6,2,4] => 10000 => [1,5]
[1,5,2,1,1,5] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,2,1,5,1] => [1,3,4,6,2,5] => 10000 => [1,5]
[1,5,2,5,1,1] => [1,3,5,6,2,4] => 10000 => [1,5]
[1,5,5,1,1,2] => [1,4,5,6,2,3] => 10000 => [1,5]
[1,5,5,1,2,1] => [1,4,5,6,2,3] => 10000 => [1,5]
[1,5,5,2,1,1] => [1,4,5,6,2,3] => 10000 => [1,5]
[2,1,1,1,5,5] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,1,5,1,5] => [2,1,3,5,4,6] => 01101 => [2,1,2,1]
[2,1,1,5,5,1] => [2,1,3,6,4,5] => 01100 => [2,1,3]
[2,1,5,1,1,5] => [2,1,4,5,3,6] => 01001 => [2,3,1]
[2,1,5,1,5,1] => [2,1,4,6,3,5] => 01000 => [2,4]
[2,1,5,5,1,1] => [2,1,5,6,3,4] => 01000 => [2,4]
[2,5,1,1,1,5] => [3,1,4,5,2,6] => 00001 => [5,1]
[2,5,1,1,5,1] => [3,1,4,6,2,5] => 00000 => [6]
[2,5,1,5,1,1] => [3,1,5,6,2,4] => 00000 => [6]
[2,5,5,1,1,1] => [4,1,5,6,2,3] => 00000 => [6]
[5,1,1,1,2,5] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,1,1,5,2] => [2,3,4,6,1,5] => 00000 => [6]
[5,1,1,2,1,5] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,1,2,5,1] => [2,3,4,6,1,5] => 00000 => [6]
[5,1,1,5,1,2] => [2,3,5,6,1,4] => 00000 => [6]
[5,1,1,5,2,1] => [2,3,5,6,1,4] => 00000 => [6]
[5,1,2,1,1,5] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,2,1,5,1] => [2,3,4,6,1,5] => 00000 => [6]
[5,1,2,5,1,1] => [2,3,5,6,1,4] => 00000 => [6]
[5,1,5,1,1,2] => [2,4,5,6,1,3] => 00000 => [6]
[5,1,5,1,2,1] => [2,4,5,6,1,3] => 00000 => [6]
[5,1,5,2,1,1] => [2,4,5,6,1,3] => 00000 => [6]
[5,2,1,1,1,5] => [3,2,4,5,1,6] => 00001 => [5,1]
[5,2,1,1,5,1] => [3,2,4,6,1,5] => 00000 => [6]
[5,2,1,5,1,1] => [3,2,5,6,1,4] => 00000 => [6]
[5,2,5,1,1,1] => [4,2,5,6,1,3] => 00000 => [6]
[5,5,1,1,1,2] => [3,4,5,6,1,2] => 00000 => [6]
[5,5,1,1,2,1] => [3,4,5,6,1,2] => 00000 => [6]
[5,5,1,2,1,1] => [3,4,5,6,1,2] => 00000 => [6]
[5,5,2,1,1,1] => [4,3,5,6,1,2] => 00000 => [6]
[1,1,1,2,5,6] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,1,2,6,5] => [1,2,3,4,6,5] => 11110 => [1,1,1,1,2]
[1,1,1,5,2,6] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,1,1,5,6,2] => [1,2,3,6,4,5] => 11100 => [1,1,1,3]
[1,1,1,6,2,5] => [1,2,3,5,6,4] => 11100 => [1,1,1,3]
[1,1,1,6,5,2] => [1,2,3,6,5,4] => 11100 => [1,1,1,3]
[1,1,2,1,5,6] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,2,1,6,5] => [1,2,3,4,6,5] => 11110 => [1,1,1,1,2]
[1,1,2,5,1,6] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,1,2,5,6,1] => [1,2,3,6,4,5] => 11100 => [1,1,1,3]
[1,1,2,6,1,5] => [1,2,3,5,6,4] => 11100 => [1,1,1,3]
[1,1,2,6,5,1] => [1,2,3,6,5,4] => 11100 => [1,1,1,3]
[1,1,5,1,2,6] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,1,5,1,6,2] => [1,2,4,6,3,5] => 11000 => [1,1,4]
[1,1,5,2,1,6] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,1,5,2,6,1] => [1,2,4,6,3,5] => 11000 => [1,1,4]
[1,1,5,6,1,2] => [1,2,5,6,3,4] => 11000 => [1,1,4]
[1,1,5,6,2,1] => [1,2,5,6,3,4] => 11000 => [1,1,4]
[1,1,6,1,2,5] => [1,2,4,5,6,3] => 11000 => [1,1,4]
[1,1,6,1,5,2] => [1,2,4,6,5,3] => 11000 => [1,1,4]
[1,1,6,2,1,5] => [1,2,4,5,6,3] => 11000 => [1,1,4]
[1,1,6,2,5,1] => [1,2,4,6,5,3] => 11000 => [1,1,4]
[1,1,6,5,1,2] => [1,2,5,6,4,3] => 11000 => [1,1,4]
[1,1,6,5,2,1] => [1,2,5,6,4,3] => 11000 => [1,1,4]
[1,2,1,1,5,6] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,1,1,6,5] => [1,2,3,4,6,5] => 11110 => [1,1,1,1,2]
[1,2,1,5,1,6] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,2,1,5,6,1] => [1,2,3,6,4,5] => 11100 => [1,1,1,3]
[1,2,1,6,1,5] => [1,2,3,5,6,4] => 11100 => [1,1,1,3]
[1,2,1,6,5,1] => [1,2,3,6,5,4] => 11100 => [1,1,1,3]
[1,2,5,1,1,6] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,2,5,1,6,1] => [1,2,4,6,3,5] => 11000 => [1,1,4]
[1,2,5,6,1,1] => [1,2,5,6,3,4] => 11000 => [1,1,4]
[1,2,6,1,1,5] => [1,2,4,5,6,3] => 11000 => [1,1,4]
[1,2,6,1,5,1] => [1,2,4,6,5,3] => 11000 => [1,1,4]
[1,2,6,5,1,1] => [1,2,5,6,4,3] => 11000 => [1,1,4]
[1,5,1,1,2,6] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,1,1,6,2] => [1,3,4,6,2,5] => 10000 => [1,5]
[1,5,1,2,1,6] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,1,2,6,1] => [1,3,4,6,2,5] => 10000 => [1,5]
[1,5,1,6,1,2] => [1,3,5,6,2,4] => 10000 => [1,5]
[1,5,1,6,2,1] => [1,3,5,6,2,4] => 10000 => [1,5]
[1,5,2,1,1,6] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,2,1,6,1] => [1,3,4,6,2,5] => 10000 => [1,5]
[1,5,2,6,1,1] => [1,3,5,6,2,4] => 10000 => [1,5]
[1,5,6,1,1,2] => [1,4,5,6,2,3] => 10000 => [1,5]
[1,5,6,1,2,1] => [1,4,5,6,2,3] => 10000 => [1,5]
[1,5,6,2,1,1] => [1,4,5,6,2,3] => 10000 => [1,5]
[1,6,1,1,2,5] => [1,3,4,5,6,2] => 10000 => [1,5]
[1,6,1,1,5,2] => [1,3,4,6,5,2] => 10000 => [1,5]
[1,6,1,2,1,5] => [1,3,4,5,6,2] => 10000 => [1,5]
[1,6,1,2,5,1] => [1,3,4,6,5,2] => 10000 => [1,5]
[1,6,1,5,1,2] => [1,3,5,6,4,2] => 10000 => [1,5]
[1,6,1,5,2,1] => [1,3,5,6,4,2] => 10000 => [1,5]
[1,6,2,1,1,5] => [1,3,4,5,6,2] => 10000 => [1,5]
[1,6,2,1,5,1] => [1,3,4,6,5,2] => 10000 => [1,5]
[1,6,2,5,1,1] => [1,3,5,6,4,2] => 10000 => [1,5]
[1,6,5,1,1,2] => [1,4,5,6,3,2] => 10000 => [1,5]
[1,6,5,1,2,1] => [1,4,5,6,3,2] => 10000 => [1,5]
[1,6,5,2,1,1] => [1,4,5,6,3,2] => 10000 => [1,5]
[2,1,1,1,5,6] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,1,1,6,5] => [2,1,3,4,6,5] => 01110 => [2,1,1,2]
[2,1,1,5,1,6] => [2,1,3,5,4,6] => 01101 => [2,1,2,1]
[2,1,1,5,6,1] => [2,1,3,6,4,5] => 01100 => [2,1,3]
[2,1,1,6,1,5] => [2,1,3,5,6,4] => 01100 => [2,1,3]
[2,1,1,6,5,1] => [2,1,3,6,5,4] => 01100 => [2,1,3]
[2,1,5,1,1,6] => [2,1,4,5,3,6] => 01001 => [2,3,1]
[2,1,5,1,6,1] => [2,1,4,6,3,5] => 01000 => [2,4]
[2,1,5,6,1,1] => [2,1,5,6,3,4] => 01000 => [2,4]
[2,1,6,1,1,5] => [2,1,4,5,6,3] => 01000 => [2,4]
[2,1,6,1,5,1] => [2,1,4,6,5,3] => 01000 => [2,4]
[2,1,6,5,1,1] => [2,1,5,6,4,3] => 01000 => [2,4]
[2,5,1,1,1,6] => [3,1,4,5,2,6] => 00001 => [5,1]
[2,5,1,1,6,1] => [3,1,4,6,2,5] => 00000 => [6]
[2,5,1,6,1,1] => [3,1,5,6,2,4] => 00000 => [6]
[2,5,6,1,1,1] => [4,1,5,6,2,3] => 00000 => [6]
[2,6,1,1,1,5] => [3,1,4,5,6,2] => 00000 => [6]
[2,6,1,1,5,1] => [3,1,4,6,5,2] => 00000 => [6]
[2,6,1,5,1,1] => [3,1,5,6,4,2] => 00000 => [6]
[2,6,5,1,1,1] => [4,1,5,6,3,2] => 00000 => [6]
[5,1,1,1,2,6] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,1,1,6,2] => [2,3,4,6,1,5] => 00000 => [6]
[5,1,1,2,1,6] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,1,2,6,1] => [2,3,4,6,1,5] => 00000 => [6]
[5,1,1,6,1,2] => [2,3,5,6,1,4] => 00000 => [6]
[5,1,1,6,2,1] => [2,3,5,6,1,4] => 00000 => [6]
[5,1,2,1,1,6] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,2,1,6,1] => [2,3,4,6,1,5] => 00000 => [6]
[5,1,2,6,1,1] => [2,3,5,6,1,4] => 00000 => [6]
[5,1,6,1,1,2] => [2,4,5,6,1,3] => 00000 => [6]
[5,1,6,1,2,1] => [2,4,5,6,1,3] => 00000 => [6]
[5,1,6,2,1,1] => [2,4,5,6,1,3] => 00000 => [6]
[5,2,1,1,1,6] => [3,2,4,5,1,6] => 00001 => [5,1]
[5,2,1,1,6,1] => [3,2,4,6,1,5] => 00000 => [6]
[5,2,1,6,1,1] => [3,2,5,6,1,4] => 00000 => [6]
[5,2,6,1,1,1] => [4,2,5,6,1,3] => 00000 => [6]
[5,6,1,1,1,2] => [3,4,5,6,1,2] => 00000 => [6]
[5,6,1,1,2,1] => [3,4,5,6,1,2] => 00000 => [6]
[5,6,1,2,1,1] => [3,4,5,6,1,2] => 00000 => [6]
[5,6,2,1,1,1] => [4,3,5,6,1,2] => 00000 => [6]
[6,1,1,1,2,5] => [2,3,4,5,6,1] => 00000 => [6]
[6,1,1,1,5,2] => [2,3,4,6,5,1] => 00000 => [6]
[6,1,1,2,1,5] => [2,3,4,5,6,1] => 00000 => [6]
[6,1,1,2,5,1] => [2,3,4,6,5,1] => 00000 => [6]
[6,1,1,5,1,2] => [2,3,5,6,4,1] => 00000 => [6]
[6,1,1,5,2,1] => [2,3,5,6,4,1] => 00000 => [6]
[6,1,2,1,1,5] => [2,3,4,5,6,1] => 00000 => [6]
[6,1,2,1,5,1] => [2,3,4,6,5,1] => 00000 => [6]
[6,1,2,5,1,1] => [2,3,5,6,4,1] => 00000 => [6]
[6,1,5,1,1,2] => [2,4,5,6,3,1] => 00000 => [6]
[6,1,5,1,2,1] => [2,4,5,6,3,1] => 00000 => [6]
[6,1,5,2,1,1] => [2,4,5,6,3,1] => 00000 => [6]
[6,2,1,1,1,5] => [3,2,4,5,6,1] => 00000 => [6]
[6,2,1,1,5,1] => [3,2,4,6,5,1] => 00000 => [6]
[6,2,1,5,1,1] => [3,2,5,6,4,1] => 00000 => [6]
[6,2,5,1,1,1] => [4,2,5,6,3,1] => 00000 => [6]
[6,5,1,1,1,2] => [3,4,5,6,2,1] => 00000 => [6]
[6,5,1,1,2,1] => [3,4,5,6,2,1] => 00000 => [6]
[6,5,1,2,1,1] => [3,4,5,6,2,1] => 00000 => [6]
[6,5,2,1,1,1] => [4,3,5,6,2,1] => 00000 => [6]
[1,1,1,3,3,3] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,3,1,3,3] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,3,3,1,3] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,3,3,3,1] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,3,1,1,3,3] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,1,3,1,3] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,1,3,3,1] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,3,1,1,3] => [1,4,2,3,5,6] => 10011 => [1,3,1,1]
[1,3,3,1,3,1] => [1,4,2,3,5,6] => 10011 => [1,3,1,1]
[1,3,3,3,1,1] => [1,5,2,3,4,6] => 10001 => [1,4,1]
[3,1,1,1,3,3] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,1,3,1,3] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,1,3,3,1] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,3,1,1,3] => [2,4,1,3,5,6] => 00011 => [4,1,1]
[3,1,3,1,3,1] => [2,4,1,3,5,6] => 00011 => [4,1,1]
[3,1,3,3,1,1] => [2,5,1,3,4,6] => 00001 => [5,1]
[3,3,1,1,1,3] => [3,4,1,2,5,6] => 00011 => [4,1,1]
[3,3,1,1,3,1] => [3,4,1,2,5,6] => 00011 => [4,1,1]
[3,3,1,3,1,1] => [3,5,1,2,4,6] => 00001 => [5,1]
[3,3,3,1,1,1] => [4,5,1,2,3,6] => 00001 => [5,1]
[1,1,1,3,3,4] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,1,3,4,3] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,1,4,3,3] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,3,1,3,4] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,3,1,4,3] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,3,3,1,4] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,3,3,4,1] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,3,4,1,3] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,3,4,3,1] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,4,1,3,3] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,1,4,3,1,3] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,1,4,3,3,1] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,3,1,1,3,4] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,1,1,4,3] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,1,3,1,4] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,1,3,4,1] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,1,4,1,3] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,1,4,3,1] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,3,1,1,4] => [1,4,2,3,5,6] => 10011 => [1,3,1,1]
[1,3,3,1,4,1] => [1,4,2,3,5,6] => 10011 => [1,3,1,1]
[1,3,3,4,1,1] => [1,5,2,3,4,6] => 10001 => [1,4,1]
[1,3,4,1,1,3] => [1,4,2,3,5,6] => 10011 => [1,3,1,1]
[1,3,4,1,3,1] => [1,4,2,3,5,6] => 10011 => [1,3,1,1]
[1,3,4,3,1,1] => [1,5,2,3,4,6] => 10001 => [1,4,1]
[1,4,1,1,3,3] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,1,3,1,3] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,1,3,3,1] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,3,1,1,3] => [1,4,3,2,5,6] => 10011 => [1,3,1,1]
[1,4,3,1,3,1] => [1,4,3,2,5,6] => 10011 => [1,3,1,1]
[1,4,3,3,1,1] => [1,5,3,2,4,6] => 10001 => [1,4,1]
[3,1,1,1,3,4] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,1,1,4,3] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,1,3,1,4] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,1,3,4,1] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,1,4,1,3] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,1,4,3,1] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,3,1,1,4] => [2,4,1,3,5,6] => 00011 => [4,1,1]
[3,1,3,1,4,1] => [2,4,1,3,5,6] => 00011 => [4,1,1]
[3,1,3,4,1,1] => [2,5,1,3,4,6] => 00001 => [5,1]
[3,1,4,1,1,3] => [2,4,1,3,5,6] => 00011 => [4,1,1]
[3,1,4,1,3,1] => [2,4,1,3,5,6] => 00011 => [4,1,1]
[3,1,4,3,1,1] => [2,5,1,3,4,6] => 00001 => [5,1]
[3,3,1,1,1,4] => [3,4,1,2,5,6] => 00011 => [4,1,1]
[3,3,1,1,4,1] => [3,4,1,2,5,6] => 00011 => [4,1,1]
[3,3,1,4,1,1] => [3,5,1,2,4,6] => 00001 => [5,1]
[3,3,4,1,1,1] => [4,5,1,2,3,6] => 00001 => [5,1]
[3,4,1,1,1,3] => [3,4,1,2,5,6] => 00011 => [4,1,1]
[3,4,1,1,3,1] => [3,4,1,2,5,6] => 00011 => [4,1,1]
[3,4,1,3,1,1] => [3,5,1,2,4,6] => 00001 => [5,1]
[3,4,3,1,1,1] => [4,5,1,2,3,6] => 00001 => [5,1]
[4,1,1,1,3,3] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,1,3,1,3] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,1,3,3,1] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,3,1,1,3] => [2,4,3,1,5,6] => 00011 => [4,1,1]
[4,1,3,1,3,1] => [2,4,3,1,5,6] => 00011 => [4,1,1]
[4,1,3,3,1,1] => [2,5,3,1,4,6] => 00001 => [5,1]
[4,3,1,1,1,3] => [3,4,2,1,5,6] => 00011 => [4,1,1]
[4,3,1,1,3,1] => [3,4,2,1,5,6] => 00011 => [4,1,1]
[4,3,1,3,1,1] => [3,5,2,1,4,6] => 00001 => [5,1]
[4,3,3,1,1,1] => [4,5,2,1,3,6] => 00001 => [5,1]
[1,1,1,3,3,5] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,1,3,5,3] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,1,5,3,3] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,1,3,1,3,5] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,3,1,5,3] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,3,3,1,5] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,3,3,5,1] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,3,5,1,3] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,1,3,5,3,1] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,1,5,1,3,3] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,1,5,3,1,3] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,1,5,3,3,1] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,3,1,1,3,5] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,1,1,5,3] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,1,3,1,5] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,1,3,5,1] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,1,5,1,3] => [1,3,2,5,4,6] => 10101 => [1,2,2,1]
[1,3,1,5,3,1] => [1,3,2,5,4,6] => 10101 => [1,2,2,1]
[1,3,3,1,1,5] => [1,4,2,3,5,6] => 10011 => [1,3,1,1]
[1,3,3,1,5,1] => [1,4,2,3,5,6] => 10011 => [1,3,1,1]
[1,3,3,5,1,1] => [1,5,2,3,4,6] => 10001 => [1,4,1]
[1,3,5,1,1,3] => [1,4,2,5,3,6] => 10001 => [1,4,1]
[1,3,5,1,3,1] => [1,4,2,5,3,6] => 10001 => [1,4,1]
[1,3,5,3,1,1] => [1,5,2,4,3,6] => 10001 => [1,4,1]
[1,5,1,1,3,3] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,1,3,1,3] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,1,3,3,1] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,3,1,1,3] => [1,4,3,5,2,6] => 10001 => [1,4,1]
[1,5,3,1,3,1] => [1,4,3,5,2,6] => 10001 => [1,4,1]
[1,5,3,3,1,1] => [1,5,3,4,2,6] => 10001 => [1,4,1]
[3,1,1,1,3,5] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,1,1,5,3] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,1,3,1,5] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,1,3,5,1] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,1,5,1,3] => [2,3,1,5,4,6] => 00101 => [3,2,1]
[3,1,1,5,3,1] => [2,3,1,5,4,6] => 00101 => [3,2,1]
[3,1,3,1,1,5] => [2,4,1,3,5,6] => 00011 => [4,1,1]
[3,1,3,1,5,1] => [2,4,1,3,5,6] => 00011 => [4,1,1]
[3,1,3,5,1,1] => [2,5,1,3,4,6] => 00001 => [5,1]
[3,1,5,1,1,3] => [2,4,1,5,3,6] => 00001 => [5,1]
[3,1,5,1,3,1] => [2,4,1,5,3,6] => 00001 => [5,1]
[3,1,5,3,1,1] => [2,5,1,4,3,6] => 00001 => [5,1]
[3,3,1,1,1,5] => [3,4,1,2,5,6] => 00011 => [4,1,1]
[3,3,1,1,5,1] => [3,4,1,2,5,6] => 00011 => [4,1,1]
[3,3,1,5,1,1] => [3,5,1,2,4,6] => 00001 => [5,1]
[3,3,5,1,1,1] => [4,5,1,2,3,6] => 00001 => [5,1]
[3,5,1,1,1,3] => [3,4,1,5,2,6] => 00001 => [5,1]
[3,5,1,1,3,1] => [3,4,1,5,2,6] => 00001 => [5,1]
[3,5,1,3,1,1] => [3,5,1,4,2,6] => 00001 => [5,1]
[3,5,3,1,1,1] => [4,5,1,3,2,6] => 00001 => [5,1]
[5,1,1,1,3,3] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,1,3,1,3] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,1,3,3,1] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,3,1,1,3] => [2,4,3,5,1,6] => 00001 => [5,1]
[5,1,3,1,3,1] => [2,4,3,5,1,6] => 00001 => [5,1]
[5,1,3,3,1,1] => [2,5,3,4,1,6] => 00001 => [5,1]
[5,3,1,1,1,3] => [3,4,2,5,1,6] => 00001 => [5,1]
[5,3,1,1,3,1] => [3,4,2,5,1,6] => 00001 => [5,1]
[5,3,1,3,1,1] => [3,5,2,4,1,6] => 00001 => [5,1]
[5,3,3,1,1,1] => [4,5,2,3,1,6] => 00001 => [5,1]
[1,1,1,3,3,6] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,1,3,6,3] => [1,2,3,4,6,5] => 11110 => [1,1,1,1,2]
[1,1,1,6,3,3] => [1,2,3,5,6,4] => 11100 => [1,1,1,3]
[1,1,3,1,3,6] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,3,1,6,3] => [1,2,3,4,6,5] => 11110 => [1,1,1,1,2]
[1,1,3,3,1,6] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,3,3,6,1] => [1,2,3,4,6,5] => 11110 => [1,1,1,1,2]
[1,1,3,6,1,3] => [1,2,3,5,6,4] => 11100 => [1,1,1,3]
[1,1,3,6,3,1] => [1,2,3,5,6,4] => 11100 => [1,1,1,3]
[1,1,6,1,3,3] => [1,2,4,5,6,3] => 11000 => [1,1,4]
[1,1,6,3,1,3] => [1,2,4,5,6,3] => 11000 => [1,1,4]
[1,1,6,3,3,1] => [1,2,4,5,6,3] => 11000 => [1,1,4]
[1,3,1,1,3,6] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,1,1,6,3] => [1,3,2,4,6,5] => 10110 => [1,2,1,2]
[1,3,1,3,1,6] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,1,3,6,1] => [1,3,2,4,6,5] => 10110 => [1,2,1,2]
[1,3,1,6,1,3] => [1,3,2,5,6,4] => 10100 => [1,2,3]
[1,3,1,6,3,1] => [1,3,2,5,6,4] => 10100 => [1,2,3]
[1,3,3,1,1,6] => [1,4,2,3,5,6] => 10011 => [1,3,1,1]
[1,3,3,1,6,1] => [1,4,2,3,6,5] => 10010 => [1,3,2]
[1,3,3,6,1,1] => [1,5,2,3,6,4] => 10000 => [1,5]
[1,3,6,1,1,3] => [1,4,2,5,6,3] => 10000 => [1,5]
[1,3,6,1,3,1] => [1,4,2,5,6,3] => 10000 => [1,5]
[1,3,6,3,1,1] => [1,5,2,4,6,3] => 10000 => [1,5]
[1,6,1,1,3,3] => [1,3,4,5,6,2] => 10000 => [1,5]
[1,6,1,3,1,3] => [1,3,4,5,6,2] => 10000 => [1,5]
[1,6,1,3,3,1] => [1,3,4,5,6,2] => 10000 => [1,5]
[1,6,3,1,1,3] => [1,4,3,5,6,2] => 10000 => [1,5]
[1,6,3,1,3,1] => [1,4,3,5,6,2] => 10000 => [1,5]
[1,6,3,3,1,1] => [1,5,3,4,6,2] => 10000 => [1,5]
[3,1,1,1,3,6] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,1,1,6,3] => [2,3,1,4,6,5] => 00110 => [3,1,2]
[3,1,1,3,1,6] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,1,3,6,1] => [2,3,1,4,6,5] => 00110 => [3,1,2]
[3,1,1,6,1,3] => [2,3,1,5,6,4] => 00100 => [3,3]
[3,1,1,6,3,1] => [2,3,1,5,6,4] => 00100 => [3,3]
[3,1,3,1,1,6] => [2,4,1,3,5,6] => 00011 => [4,1,1]
[3,1,3,1,6,1] => [2,4,1,3,6,5] => 00010 => [4,2]
[3,1,3,6,1,1] => [2,5,1,3,6,4] => 00000 => [6]
[3,1,6,1,1,3] => [2,4,1,5,6,3] => 00000 => [6]
[3,1,6,1,3,1] => [2,4,1,5,6,3] => 00000 => [6]
[3,1,6,3,1,1] => [2,5,1,4,6,3] => 00000 => [6]
[3,3,1,1,1,6] => [3,4,1,2,5,6] => 00011 => [4,1,1]
[3,3,1,1,6,1] => [3,4,1,2,6,5] => 00010 => [4,2]
[3,3,1,6,1,1] => [3,5,1,2,6,4] => 00000 => [6]
[3,3,6,1,1,1] => [4,5,1,2,6,3] => 00000 => [6]
[3,6,1,1,1,3] => [3,4,1,5,6,2] => 00000 => [6]
[3,6,1,1,3,1] => [3,4,1,5,6,2] => 00000 => [6]
[3,6,1,3,1,1] => [3,5,1,4,6,2] => 00000 => [6]
[3,6,3,1,1,1] => [4,5,1,3,6,2] => 00000 => [6]
[6,1,1,1,3,3] => [2,3,4,5,6,1] => 00000 => [6]
[6,1,1,3,1,3] => [2,3,4,5,6,1] => 00000 => [6]
[6,1,1,3,3,1] => [2,3,4,5,6,1] => 00000 => [6]
[6,1,3,1,1,3] => [2,4,3,5,6,1] => 00000 => [6]
[6,1,3,1,3,1] => [2,4,3,5,6,1] => 00000 => [6]
[6,1,3,3,1,1] => [2,5,3,4,6,1] => 00000 => [6]
[6,3,1,1,1,3] => [3,4,2,5,6,1] => 00000 => [6]
[6,3,1,1,3,1] => [3,4,2,5,6,1] => 00000 => [6]
[6,3,1,3,1,1] => [3,5,2,4,6,1] => 00000 => [6]
[6,3,3,1,1,1] => [4,5,2,3,6,1] => 00000 => [6]
[1,1,1,3,4,4] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,1,4,3,4] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,1,4,4,3] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,3,1,4,4] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,3,4,1,4] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,3,4,4,1] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,4,1,3,4] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,1,4,1,4,3] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,1,4,3,1,4] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,1,4,3,4,1] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,1,4,4,1,3] => [1,2,5,3,4,6] => 11001 => [1,1,3,1]
[1,1,4,4,3,1] => [1,2,5,3,4,6] => 11001 => [1,1,3,1]
[1,3,1,1,4,4] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,1,4,1,4] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,1,4,4,1] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,4,1,1,4] => [1,4,2,3,5,6] => 10011 => [1,3,1,1]
[1,3,4,1,4,1] => [1,4,2,3,5,6] => 10011 => [1,3,1,1]
[1,3,4,4,1,1] => [1,5,2,3,4,6] => 10001 => [1,4,1]
[1,4,1,1,3,4] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,1,1,4,3] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,1,3,1,4] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,1,3,4,1] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,1,4,1,3] => [1,3,5,2,4,6] => 10001 => [1,4,1]
[1,4,1,4,3,1] => [1,3,5,2,4,6] => 10001 => [1,4,1]
[1,4,3,1,1,4] => [1,4,3,2,5,6] => 10011 => [1,3,1,1]
[1,4,3,1,4,1] => [1,4,3,2,5,6] => 10011 => [1,3,1,1]
[1,4,3,4,1,1] => [1,5,3,2,4,6] => 10001 => [1,4,1]
[1,4,4,1,1,3] => [1,4,5,2,3,6] => 10001 => [1,4,1]
[1,4,4,1,3,1] => [1,4,5,2,3,6] => 10001 => [1,4,1]
[1,4,4,3,1,1] => [1,5,4,2,3,6] => 10001 => [1,4,1]
[3,1,1,1,4,4] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,1,4,1,4] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,1,4,4,1] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,4,1,1,4] => [2,4,1,3,5,6] => 00011 => [4,1,1]
[3,1,4,1,4,1] => [2,4,1,3,5,6] => 00011 => [4,1,1]
[3,1,4,4,1,1] => [2,5,1,3,4,6] => 00001 => [5,1]
[3,4,1,1,1,4] => [3,4,1,2,5,6] => 00011 => [4,1,1]
[3,4,1,1,4,1] => [3,4,1,2,5,6] => 00011 => [4,1,1]
[3,4,1,4,1,1] => [3,5,1,2,4,6] => 00001 => [5,1]
[3,4,4,1,1,1] => [4,5,1,2,3,6] => 00001 => [5,1]
[4,1,1,1,3,4] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,1,1,4,3] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,1,3,1,4] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,1,3,4,1] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,1,4,1,3] => [2,3,5,1,4,6] => 00001 => [5,1]
[4,1,1,4,3,1] => [2,3,5,1,4,6] => 00001 => [5,1]
[4,1,3,1,1,4] => [2,4,3,1,5,6] => 00011 => [4,1,1]
[4,1,3,1,4,1] => [2,4,3,1,5,6] => 00011 => [4,1,1]
[4,1,3,4,1,1] => [2,5,3,1,4,6] => 00001 => [5,1]
[4,1,4,1,1,3] => [2,4,5,1,3,6] => 00001 => [5,1]
[4,1,4,1,3,1] => [2,4,5,1,3,6] => 00001 => [5,1]
[4,1,4,3,1,1] => [2,5,4,1,3,6] => 00001 => [5,1]
[4,3,1,1,1,4] => [3,4,2,1,5,6] => 00011 => [4,1,1]
[4,3,1,1,4,1] => [3,4,2,1,5,6] => 00011 => [4,1,1]
[4,3,1,4,1,1] => [3,5,2,1,4,6] => 00001 => [5,1]
[4,3,4,1,1,1] => [4,5,2,1,3,6] => 00001 => [5,1]
[4,4,1,1,1,3] => [3,4,5,1,2,6] => 00001 => [5,1]
[4,4,1,1,3,1] => [3,4,5,1,2,6] => 00001 => [5,1]
[4,4,1,3,1,1] => [3,5,4,1,2,6] => 00001 => [5,1]
[4,4,3,1,1,1] => [4,5,3,1,2,6] => 00001 => [5,1]
[1,1,1,3,4,5] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,1,3,5,4] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,1,4,3,5] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,1,4,5,3] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,1,5,3,4] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,1,1,5,4,3] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,1,3,1,4,5] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,3,1,5,4] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,3,4,1,5] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,3,4,5,1] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,3,5,1,4] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,1,3,5,4,1] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,1,4,1,3,5] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,1,4,1,5,3] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,1,4,3,1,5] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,1,4,3,5,1] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,1,4,5,1,3] => [1,2,5,3,4,6] => 11001 => [1,1,3,1]
[1,1,4,5,3,1] => [1,2,5,3,4,6] => 11001 => [1,1,3,1]
[1,1,5,1,3,4] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,1,5,1,4,3] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,1,5,3,1,4] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,1,5,3,4,1] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,1,5,4,1,3] => [1,2,5,4,3,6] => 11001 => [1,1,3,1]
[1,1,5,4,3,1] => [1,2,5,4,3,6] => 11001 => [1,1,3,1]
[1,3,1,1,4,5] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,1,1,5,4] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,1,4,1,5] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,1,4,5,1] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,1,5,1,4] => [1,3,2,5,4,6] => 10101 => [1,2,2,1]
[1,3,1,5,4,1] => [1,3,2,5,4,6] => 10101 => [1,2,2,1]
[1,3,4,1,1,5] => [1,4,2,3,5,6] => 10011 => [1,3,1,1]
[1,3,4,1,5,1] => [1,4,2,3,5,6] => 10011 => [1,3,1,1]
[1,3,4,5,1,1] => [1,5,2,3,4,6] => 10001 => [1,4,1]
[1,3,5,1,1,4] => [1,4,2,5,3,6] => 10001 => [1,4,1]
[1,3,5,1,4,1] => [1,4,2,5,3,6] => 10001 => [1,4,1]
[1,3,5,4,1,1] => [1,5,2,4,3,6] => 10001 => [1,4,1]
[1,4,1,1,3,5] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,1,1,5,3] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,1,3,1,5] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,1,3,5,1] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,1,5,1,3] => [1,3,5,2,4,6] => 10001 => [1,4,1]
[1,4,1,5,3,1] => [1,3,5,2,4,6] => 10001 => [1,4,1]
[1,4,3,1,1,5] => [1,4,3,2,5,6] => 10011 => [1,3,1,1]
[1,4,3,1,5,1] => [1,4,3,2,5,6] => 10011 => [1,3,1,1]
[1,4,3,5,1,1] => [1,5,3,2,4,6] => 10001 => [1,4,1]
[1,4,5,1,1,3] => [1,4,5,2,3,6] => 10001 => [1,4,1]
[1,4,5,1,3,1] => [1,4,5,2,3,6] => 10001 => [1,4,1]
[1,4,5,3,1,1] => [1,5,4,2,3,6] => 10001 => [1,4,1]
[1,5,1,1,3,4] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,1,1,4,3] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,1,3,1,4] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,1,3,4,1] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,1,4,1,3] => [1,3,5,4,2,6] => 10001 => [1,4,1]
[1,5,1,4,3,1] => [1,3,5,4,2,6] => 10001 => [1,4,1]
[1,5,3,1,1,4] => [1,4,3,5,2,6] => 10001 => [1,4,1]
[1,5,3,1,4,1] => [1,4,3,5,2,6] => 10001 => [1,4,1]
[1,5,3,4,1,1] => [1,5,3,4,2,6] => 10001 => [1,4,1]
[1,5,4,1,1,3] => [1,4,5,3,2,6] => 10001 => [1,4,1]
[1,5,4,1,3,1] => [1,4,5,3,2,6] => 10001 => [1,4,1]
[1,5,4,3,1,1] => [1,5,4,3,2,6] => 10001 => [1,4,1]
[3,1,1,1,4,5] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,1,1,5,4] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,1,4,1,5] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,1,4,5,1] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,1,5,1,4] => [2,3,1,5,4,6] => 00101 => [3,2,1]
[3,1,1,5,4,1] => [2,3,1,5,4,6] => 00101 => [3,2,1]
[3,1,4,1,1,5] => [2,4,1,3,5,6] => 00011 => [4,1,1]
[3,1,4,1,5,1] => [2,4,1,3,5,6] => 00011 => [4,1,1]
[3,1,4,5,1,1] => [2,5,1,3,4,6] => 00001 => [5,1]
[3,1,5,1,1,4] => [2,4,1,5,3,6] => 00001 => [5,1]
[3,1,5,1,4,1] => [2,4,1,5,3,6] => 00001 => [5,1]
[3,1,5,4,1,1] => [2,5,1,4,3,6] => 00001 => [5,1]
[3,4,1,1,1,5] => [3,4,1,2,5,6] => 00011 => [4,1,1]
[3,4,1,1,5,1] => [3,4,1,2,5,6] => 00011 => [4,1,1]
[3,4,1,5,1,1] => [3,5,1,2,4,6] => 00001 => [5,1]
[3,4,5,1,1,1] => [4,5,1,2,3,6] => 00001 => [5,1]
[3,5,1,1,1,4] => [3,4,1,5,2,6] => 00001 => [5,1]
[3,5,1,1,4,1] => [3,4,1,5,2,6] => 00001 => [5,1]
[3,5,1,4,1,1] => [3,5,1,4,2,6] => 00001 => [5,1]
[3,5,4,1,1,1] => [4,5,1,3,2,6] => 00001 => [5,1]
[4,1,1,1,3,5] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,1,1,5,3] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,1,3,1,5] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,1,3,5,1] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,1,5,1,3] => [2,3,5,1,4,6] => 00001 => [5,1]
[4,1,1,5,3,1] => [2,3,5,1,4,6] => 00001 => [5,1]
[4,1,3,1,1,5] => [2,4,3,1,5,6] => 00011 => [4,1,1]
[4,1,3,1,5,1] => [2,4,3,1,5,6] => 00011 => [4,1,1]
[4,1,3,5,1,1] => [2,5,3,1,4,6] => 00001 => [5,1]
[4,1,5,1,1,3] => [2,4,5,1,3,6] => 00001 => [5,1]
[4,1,5,1,3,1] => [2,4,5,1,3,6] => 00001 => [5,1]
[4,1,5,3,1,1] => [2,5,4,1,3,6] => 00001 => [5,1]
[4,3,1,1,1,5] => [3,4,2,1,5,6] => 00011 => [4,1,1]
[4,3,1,1,5,1] => [3,4,2,1,5,6] => 00011 => [4,1,1]
[4,3,1,5,1,1] => [3,5,2,1,4,6] => 00001 => [5,1]
[4,3,5,1,1,1] => [4,5,2,1,3,6] => 00001 => [5,1]
[4,5,1,1,1,3] => [3,4,5,1,2,6] => 00001 => [5,1]
[4,5,1,1,3,1] => [3,4,5,1,2,6] => 00001 => [5,1]
[4,5,1,3,1,1] => [3,5,4,1,2,6] => 00001 => [5,1]
[4,5,3,1,1,1] => [4,5,3,1,2,6] => 00001 => [5,1]
[5,1,1,1,3,4] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,1,1,4,3] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,1,3,1,4] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,1,3,4,1] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,1,4,1,3] => [2,3,5,4,1,6] => 00001 => [5,1]
[5,1,1,4,3,1] => [2,3,5,4,1,6] => 00001 => [5,1]
[5,1,3,1,1,4] => [2,4,3,5,1,6] => 00001 => [5,1]
[5,1,3,1,4,1] => [2,4,3,5,1,6] => 00001 => [5,1]
[5,1,3,4,1,1] => [2,5,3,4,1,6] => 00001 => [5,1]
[5,1,4,1,1,3] => [2,4,5,3,1,6] => 00001 => [5,1]
[5,1,4,1,3,1] => [2,4,5,3,1,6] => 00001 => [5,1]
[5,1,4,3,1,1] => [2,5,4,3,1,6] => 00001 => [5,1]
[5,3,1,1,1,4] => [3,4,2,5,1,6] => 00001 => [5,1]
[5,3,1,1,4,1] => [3,4,2,5,1,6] => 00001 => [5,1]
[5,3,1,4,1,1] => [3,5,2,4,1,6] => 00001 => [5,1]
[5,3,4,1,1,1] => [4,5,2,3,1,6] => 00001 => [5,1]
[5,4,1,1,1,3] => [3,4,5,2,1,6] => 00001 => [5,1]
[5,4,1,1,3,1] => [3,4,5,2,1,6] => 00001 => [5,1]
[5,4,1,3,1,1] => [3,5,4,2,1,6] => 00001 => [5,1]
[5,4,3,1,1,1] => [4,5,3,2,1,6] => 00001 => [5,1]
[1,1,1,3,4,6] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,1,3,6,4] => [1,2,3,4,6,5] => 11110 => [1,1,1,1,2]
[1,1,1,4,3,6] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,1,4,6,3] => [1,2,3,4,6,5] => 11110 => [1,1,1,1,2]
[1,1,1,6,3,4] => [1,2,3,5,6,4] => 11100 => [1,1,1,3]
[1,1,1,6,4,3] => [1,2,3,5,6,4] => 11100 => [1,1,1,3]
[1,1,3,1,4,6] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,3,1,6,4] => [1,2,3,4,6,5] => 11110 => [1,1,1,1,2]
[1,1,3,4,1,6] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,3,4,6,1] => [1,2,3,4,6,5] => 11110 => [1,1,1,1,2]
[1,1,3,6,1,4] => [1,2,3,5,6,4] => 11100 => [1,1,1,3]
[1,1,3,6,4,1] => [1,2,3,5,6,4] => 11100 => [1,1,1,3]
[1,1,4,1,3,6] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,1,4,1,6,3] => [1,2,4,3,6,5] => 11010 => [1,1,2,2]
[1,1,4,3,1,6] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,1,4,3,6,1] => [1,2,4,3,6,5] => 11010 => [1,1,2,2]
[1,1,4,6,1,3] => [1,2,5,3,6,4] => 11000 => [1,1,4]
[1,1,4,6,3,1] => [1,2,5,3,6,4] => 11000 => [1,1,4]
[1,1,6,1,3,4] => [1,2,4,5,6,3] => 11000 => [1,1,4]
[1,1,6,1,4,3] => [1,2,4,5,6,3] => 11000 => [1,1,4]
[1,1,6,3,1,4] => [1,2,4,5,6,3] => 11000 => [1,1,4]
[1,1,6,3,4,1] => [1,2,4,5,6,3] => 11000 => [1,1,4]
[1,1,6,4,1,3] => [1,2,5,4,6,3] => 11000 => [1,1,4]
[1,1,6,4,3,1] => [1,2,5,4,6,3] => 11000 => [1,1,4]
[1,3,1,1,4,6] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,1,1,6,4] => [1,3,2,4,6,5] => 10110 => [1,2,1,2]
[1,3,1,4,1,6] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,1,4,6,1] => [1,3,2,4,6,5] => 10110 => [1,2,1,2]
[1,3,1,6,1,4] => [1,3,2,5,6,4] => 10100 => [1,2,3]
[1,3,1,6,4,1] => [1,3,2,5,6,4] => 10100 => [1,2,3]
[1,3,4,1,1,6] => [1,4,2,3,5,6] => 10011 => [1,3,1,1]
[1,3,4,1,6,1] => [1,4,2,3,6,5] => 10010 => [1,3,2]
[1,3,4,6,1,1] => [1,5,2,3,6,4] => 10000 => [1,5]
[1,3,6,1,1,4] => [1,4,2,5,6,3] => 10000 => [1,5]
[1,3,6,1,4,1] => [1,4,2,5,6,3] => 10000 => [1,5]
[1,3,6,4,1,1] => [1,5,2,4,6,3] => 10000 => [1,5]
[1,4,1,1,3,6] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,1,1,6,3] => [1,3,4,2,6,5] => 10010 => [1,3,2]
[1,4,1,3,1,6] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,1,3,6,1] => [1,3,4,2,6,5] => 10010 => [1,3,2]
[1,4,1,6,1,3] => [1,3,5,2,6,4] => 10000 => [1,5]
[1,4,1,6,3,1] => [1,3,5,2,6,4] => 10000 => [1,5]
[1,4,3,1,1,6] => [1,4,3,2,5,6] => 10011 => [1,3,1,1]
[1,4,3,1,6,1] => [1,4,3,2,6,5] => 10010 => [1,3,2]
[1,4,3,6,1,1] => [1,5,3,2,6,4] => 10000 => [1,5]
[1,4,6,1,1,3] => [1,4,5,2,6,3] => 10000 => [1,5]
[1,4,6,1,3,1] => [1,4,5,2,6,3] => 10000 => [1,5]
[1,4,6,3,1,1] => [1,5,4,2,6,3] => 10000 => [1,5]
[1,6,1,1,3,4] => [1,3,4,5,6,2] => 10000 => [1,5]
[1,6,1,1,4,3] => [1,3,4,5,6,2] => 10000 => [1,5]
[1,6,1,3,1,4] => [1,3,4,5,6,2] => 10000 => [1,5]
[1,6,1,3,4,1] => [1,3,4,5,6,2] => 10000 => [1,5]
[1,6,1,4,1,3] => [1,3,5,4,6,2] => 10000 => [1,5]
[1,6,1,4,3,1] => [1,3,5,4,6,2] => 10000 => [1,5]
[1,6,3,1,1,4] => [1,4,3,5,6,2] => 10000 => [1,5]
[1,6,3,1,4,1] => [1,4,3,5,6,2] => 10000 => [1,5]
[1,6,3,4,1,1] => [1,5,3,4,6,2] => 10000 => [1,5]
[1,6,4,1,1,3] => [1,4,5,3,6,2] => 10000 => [1,5]
[1,6,4,1,3,1] => [1,4,5,3,6,2] => 10000 => [1,5]
[1,6,4,3,1,1] => [1,5,4,3,6,2] => 10000 => [1,5]
[3,1,1,1,4,6] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,1,1,6,4] => [2,3,1,4,6,5] => 00110 => [3,1,2]
[3,1,1,4,1,6] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,1,4,6,1] => [2,3,1,4,6,5] => 00110 => [3,1,2]
[3,1,1,6,1,4] => [2,3,1,5,6,4] => 00100 => [3,3]
[3,1,1,6,4,1] => [2,3,1,5,6,4] => 00100 => [3,3]
[3,1,4,1,1,6] => [2,4,1,3,5,6] => 00011 => [4,1,1]
[3,1,4,1,6,1] => [2,4,1,3,6,5] => 00010 => [4,2]
[3,1,4,6,1,1] => [2,5,1,3,6,4] => 00000 => [6]
[3,1,6,1,1,4] => [2,4,1,5,6,3] => 00000 => [6]
[3,1,6,1,4,1] => [2,4,1,5,6,3] => 00000 => [6]
[3,1,6,4,1,1] => [2,5,1,4,6,3] => 00000 => [6]
[3,4,1,1,1,6] => [3,4,1,2,5,6] => 00011 => [4,1,1]
[3,4,1,1,6,1] => [3,4,1,2,6,5] => 00010 => [4,2]
[3,4,1,6,1,1] => [3,5,1,2,6,4] => 00000 => [6]
[3,4,6,1,1,1] => [4,5,1,2,6,3] => 00000 => [6]
[3,6,1,1,1,4] => [3,4,1,5,6,2] => 00000 => [6]
[3,6,1,1,4,1] => [3,4,1,5,6,2] => 00000 => [6]
[3,6,1,4,1,1] => [3,5,1,4,6,2] => 00000 => [6]
[3,6,4,1,1,1] => [4,5,1,3,6,2] => 00000 => [6]
[4,1,1,1,3,6] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,1,1,6,3] => [2,3,4,1,6,5] => 00010 => [4,2]
[4,1,1,3,1,6] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,1,3,6,1] => [2,3,4,1,6,5] => 00010 => [4,2]
[4,1,1,6,1,3] => [2,3,5,1,6,4] => 00000 => [6]
[4,1,1,6,3,1] => [2,3,5,1,6,4] => 00000 => [6]
[4,1,3,1,1,6] => [2,4,3,1,5,6] => 00011 => [4,1,1]
[4,1,3,1,6,1] => [2,4,3,1,6,5] => 00010 => [4,2]
[4,1,3,6,1,1] => [2,5,3,1,6,4] => 00000 => [6]
[4,1,6,1,1,3] => [2,4,5,1,6,3] => 00000 => [6]
[4,1,6,1,3,1] => [2,4,5,1,6,3] => 00000 => [6]
[4,1,6,3,1,1] => [2,5,4,1,6,3] => 00000 => [6]
[4,3,1,1,1,6] => [3,4,2,1,5,6] => 00011 => [4,1,1]
[4,3,1,1,6,1] => [3,4,2,1,6,5] => 00010 => [4,2]
[4,3,1,6,1,1] => [3,5,2,1,6,4] => 00000 => [6]
[4,3,6,1,1,1] => [4,5,2,1,6,3] => 00000 => [6]
[4,6,1,1,1,3] => [3,4,5,1,6,2] => 00000 => [6]
[4,6,1,1,3,1] => [3,4,5,1,6,2] => 00000 => [6]
[4,6,1,3,1,1] => [3,5,4,1,6,2] => 00000 => [6]
[4,6,3,1,1,1] => [4,5,3,1,6,2] => 00000 => [6]
[6,1,1,1,3,4] => [2,3,4,5,6,1] => 00000 => [6]
[6,1,1,1,4,3] => [2,3,4,5,6,1] => 00000 => [6]
[6,1,1,3,1,4] => [2,3,4,5,6,1] => 00000 => [6]
[6,1,1,3,4,1] => [2,3,4,5,6,1] => 00000 => [6]
[6,1,1,4,1,3] => [2,3,5,4,6,1] => 00000 => [6]
[6,1,1,4,3,1] => [2,3,5,4,6,1] => 00000 => [6]
[6,1,3,1,1,4] => [2,4,3,5,6,1] => 00000 => [6]
[6,1,3,1,4,1] => [2,4,3,5,6,1] => 00000 => [6]
[6,1,3,4,1,1] => [2,5,3,4,6,1] => 00000 => [6]
[6,1,4,1,1,3] => [2,4,5,3,6,1] => 00000 => [6]
[6,1,4,1,3,1] => [2,4,5,3,6,1] => 00000 => [6]
[6,1,4,3,1,1] => [2,5,4,3,6,1] => 00000 => [6]
[6,3,1,1,1,4] => [3,4,2,5,6,1] => 00000 => [6]
[6,3,1,1,4,1] => [3,4,2,5,6,1] => 00000 => [6]
[6,3,1,4,1,1] => [3,5,2,4,6,1] => 00000 => [6]
[6,3,4,1,1,1] => [4,5,2,3,6,1] => 00000 => [6]
[6,4,1,1,1,3] => [3,4,5,2,6,1] => 00000 => [6]
[6,4,1,1,3,1] => [3,4,5,2,6,1] => 00000 => [6]
[6,4,1,3,1,1] => [3,5,4,2,6,1] => 00000 => [6]
[6,4,3,1,1,1] => [4,5,3,2,6,1] => 00000 => [6]
[1,1,1,3,5,5] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,1,5,3,5] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,1,1,5,5,3] => [1,2,3,6,4,5] => 11100 => [1,1,1,3]
[1,1,3,1,5,5] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,3,5,1,5] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,1,3,5,5,1] => [1,2,3,6,4,5] => 11100 => [1,1,1,3]
[1,1,5,1,3,5] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,1,5,1,5,3] => [1,2,4,6,3,5] => 11000 => [1,1,4]
[1,1,5,3,1,5] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,1,5,3,5,1] => [1,2,4,6,3,5] => 11000 => [1,1,4]
[1,1,5,5,1,3] => [1,2,5,6,3,4] => 11000 => [1,1,4]
[1,1,5,5,3,1] => [1,2,5,6,3,4] => 11000 => [1,1,4]
[1,3,1,1,5,5] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,1,5,1,5] => [1,3,2,5,4,6] => 10101 => [1,2,2,1]
[1,3,1,5,5,1] => [1,3,2,6,4,5] => 10100 => [1,2,3]
[1,3,5,1,1,5] => [1,4,2,5,3,6] => 10001 => [1,4,1]
[1,3,5,1,5,1] => [1,4,2,6,3,5] => 10000 => [1,5]
[1,3,5,5,1,1] => [1,5,2,6,3,4] => 10000 => [1,5]
[1,5,1,1,3,5] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,1,1,5,3] => [1,3,4,6,2,5] => 10000 => [1,5]
[1,5,1,3,1,5] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,1,3,5,1] => [1,3,4,6,2,5] => 10000 => [1,5]
[1,5,1,5,1,3] => [1,3,5,6,2,4] => 10000 => [1,5]
[1,5,1,5,3,1] => [1,3,5,6,2,4] => 10000 => [1,5]
[1,5,3,1,1,5] => [1,4,3,5,2,6] => 10001 => [1,4,1]
[1,5,3,1,5,1] => [1,4,3,6,2,5] => 10000 => [1,5]
[1,5,3,5,1,1] => [1,5,3,6,2,4] => 10000 => [1,5]
[1,5,5,1,1,3] => [1,4,5,6,2,3] => 10000 => [1,5]
[1,5,5,1,3,1] => [1,4,5,6,2,3] => 10000 => [1,5]
[1,5,5,3,1,1] => [1,5,4,6,2,3] => 10000 => [1,5]
[3,1,1,1,5,5] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,1,5,1,5] => [2,3,1,5,4,6] => 00101 => [3,2,1]
[3,1,1,5,5,1] => [2,3,1,6,4,5] => 00100 => [3,3]
[3,1,5,1,1,5] => [2,4,1,5,3,6] => 00001 => [5,1]
[3,1,5,1,5,1] => [2,4,1,6,3,5] => 00000 => [6]
[3,1,5,5,1,1] => [2,5,1,6,3,4] => 00000 => [6]
[3,5,1,1,1,5] => [3,4,1,5,2,6] => 00001 => [5,1]
[3,5,1,1,5,1] => [3,4,1,6,2,5] => 00000 => [6]
[3,5,1,5,1,1] => [3,5,1,6,2,4] => 00000 => [6]
[3,5,5,1,1,1] => [4,5,1,6,2,3] => 00000 => [6]
[5,1,1,1,3,5] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,1,1,5,3] => [2,3,4,6,1,5] => 00000 => [6]
[5,1,1,3,1,5] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,1,3,5,1] => [2,3,4,6,1,5] => 00000 => [6]
[5,1,1,5,1,3] => [2,3,5,6,1,4] => 00000 => [6]
[5,1,1,5,3,1] => [2,3,5,6,1,4] => 00000 => [6]
[5,1,3,1,1,5] => [2,4,3,5,1,6] => 00001 => [5,1]
[5,1,3,1,5,1] => [2,4,3,6,1,5] => 00000 => [6]
[5,1,3,5,1,1] => [2,5,3,6,1,4] => 00000 => [6]
[5,1,5,1,1,3] => [2,4,5,6,1,3] => 00000 => [6]
[5,1,5,1,3,1] => [2,4,5,6,1,3] => 00000 => [6]
[5,1,5,3,1,1] => [2,5,4,6,1,3] => 00000 => [6]
[5,3,1,1,1,5] => [3,4,2,5,1,6] => 00001 => [5,1]
[5,3,1,1,5,1] => [3,4,2,6,1,5] => 00000 => [6]
[5,3,1,5,1,1] => [3,5,2,6,1,4] => 00000 => [6]
[5,3,5,1,1,1] => [4,5,2,6,1,3] => 00000 => [6]
[5,5,1,1,1,3] => [3,4,5,6,1,2] => 00000 => [6]
[5,5,1,1,3,1] => [3,4,5,6,1,2] => 00000 => [6]
[5,5,1,3,1,1] => [3,5,4,6,1,2] => 00000 => [6]
[5,5,3,1,1,1] => [4,5,3,6,1,2] => 00000 => [6]
[1,1,1,3,5,6] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,1,3,6,5] => [1,2,3,4,6,5] => 11110 => [1,1,1,1,2]
[1,1,1,5,3,6] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,1,1,5,6,3] => [1,2,3,6,4,5] => 11100 => [1,1,1,3]
[1,1,1,6,3,5] => [1,2,3,5,6,4] => 11100 => [1,1,1,3]
[1,1,1,6,5,3] => [1,2,3,6,5,4] => 11100 => [1,1,1,3]
[1,1,3,1,5,6] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,3,1,6,5] => [1,2,3,4,6,5] => 11110 => [1,1,1,1,2]
[1,1,3,5,1,6] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,1,3,5,6,1] => [1,2,3,6,4,5] => 11100 => [1,1,1,3]
[1,1,3,6,1,5] => [1,2,3,5,6,4] => 11100 => [1,1,1,3]
[1,1,3,6,5,1] => [1,2,3,6,5,4] => 11100 => [1,1,1,3]
[1,1,5,1,3,6] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,1,5,1,6,3] => [1,2,4,6,3,5] => 11000 => [1,1,4]
[1,1,5,3,1,6] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,1,5,3,6,1] => [1,2,4,6,3,5] => 11000 => [1,1,4]
[1,1,5,6,1,3] => [1,2,5,6,3,4] => 11000 => [1,1,4]
[1,1,5,6,3,1] => [1,2,5,6,3,4] => 11000 => [1,1,4]
[1,1,6,1,3,5] => [1,2,4,5,6,3] => 11000 => [1,1,4]
[1,1,6,1,5,3] => [1,2,4,6,5,3] => 11000 => [1,1,4]
[1,1,6,3,1,5] => [1,2,4,5,6,3] => 11000 => [1,1,4]
[1,1,6,3,5,1] => [1,2,4,6,5,3] => 11000 => [1,1,4]
[1,1,6,5,1,3] => [1,2,5,6,4,3] => 11000 => [1,1,4]
[1,1,6,5,3,1] => [1,2,5,6,4,3] => 11000 => [1,1,4]
[1,3,1,1,5,6] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,1,1,6,5] => [1,3,2,4,6,5] => 10110 => [1,2,1,2]
[1,3,1,5,1,6] => [1,3,2,5,4,6] => 10101 => [1,2,2,1]
[1,3,1,5,6,1] => [1,3,2,6,4,5] => 10100 => [1,2,3]
[1,3,1,6,1,5] => [1,3,2,5,6,4] => 10100 => [1,2,3]
[1,3,1,6,5,1] => [1,3,2,6,5,4] => 10100 => [1,2,3]
[1,3,5,1,1,6] => [1,4,2,5,3,6] => 10001 => [1,4,1]
[1,3,5,1,6,1] => [1,4,2,6,3,5] => 10000 => [1,5]
[1,3,5,6,1,1] => [1,5,2,6,3,4] => 10000 => [1,5]
[1,3,6,1,1,5] => [1,4,2,5,6,3] => 10000 => [1,5]
[1,3,6,1,5,1] => [1,4,2,6,5,3] => 10000 => [1,5]
[1,3,6,5,1,1] => [1,5,2,6,4,3] => 10000 => [1,5]
[1,5,1,1,3,6] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,1,1,6,3] => [1,3,4,6,2,5] => 10000 => [1,5]
[1,5,1,3,1,6] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,1,3,6,1] => [1,3,4,6,2,5] => 10000 => [1,5]
[1,5,1,6,1,3] => [1,3,5,6,2,4] => 10000 => [1,5]
[1,5,1,6,3,1] => [1,3,5,6,2,4] => 10000 => [1,5]
[1,5,3,1,1,6] => [1,4,3,5,2,6] => 10001 => [1,4,1]
[1,5,3,1,6,1] => [1,4,3,6,2,5] => 10000 => [1,5]
[1,5,3,6,1,1] => [1,5,3,6,2,4] => 10000 => [1,5]
[1,5,6,1,1,3] => [1,4,5,6,2,3] => 10000 => [1,5]
[1,5,6,1,3,1] => [1,4,5,6,2,3] => 10000 => [1,5]
[1,5,6,3,1,1] => [1,5,4,6,2,3] => 10000 => [1,5]
[1,6,1,1,3,5] => [1,3,4,5,6,2] => 10000 => [1,5]
[1,6,1,1,5,3] => [1,3,4,6,5,2] => 10000 => [1,5]
[1,6,1,3,1,5] => [1,3,4,5,6,2] => 10000 => [1,5]
[1,6,1,3,5,1] => [1,3,4,6,5,2] => 10000 => [1,5]
[1,6,1,5,1,3] => [1,3,5,6,4,2] => 10000 => [1,5]
[1,6,1,5,3,1] => [1,3,5,6,4,2] => 10000 => [1,5]
[1,6,3,1,1,5] => [1,4,3,5,6,2] => 10000 => [1,5]
[1,6,3,1,5,1] => [1,4,3,6,5,2] => 10000 => [1,5]
[1,6,3,5,1,1] => [1,5,3,6,4,2] => 10000 => [1,5]
[1,6,5,1,1,3] => [1,4,5,6,3,2] => 10000 => [1,5]
[1,6,5,1,3,1] => [1,4,5,6,3,2] => 10000 => [1,5]
[1,6,5,3,1,1] => [1,5,4,6,3,2] => 10000 => [1,5]
[3,1,1,1,5,6] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,1,1,6,5] => [2,3,1,4,6,5] => 00110 => [3,1,2]
[3,1,1,5,1,6] => [2,3,1,5,4,6] => 00101 => [3,2,1]
[3,1,1,5,6,1] => [2,3,1,6,4,5] => 00100 => [3,3]
[3,1,1,6,1,5] => [2,3,1,5,6,4] => 00100 => [3,3]
[3,1,1,6,5,1] => [2,3,1,6,5,4] => 00100 => [3,3]
[3,1,5,1,1,6] => [2,4,1,5,3,6] => 00001 => [5,1]
[3,1,5,1,6,1] => [2,4,1,6,3,5] => 00000 => [6]
[3,1,5,6,1,1] => [2,5,1,6,3,4] => 00000 => [6]
[3,1,6,1,1,5] => [2,4,1,5,6,3] => 00000 => [6]
[3,1,6,1,5,1] => [2,4,1,6,5,3] => 00000 => [6]
[3,1,6,5,1,1] => [2,5,1,6,4,3] => 00000 => [6]
[3,5,1,1,1,6] => [3,4,1,5,2,6] => 00001 => [5,1]
[3,5,1,1,6,1] => [3,4,1,6,2,5] => 00000 => [6]
[3,5,1,6,1,1] => [3,5,1,6,2,4] => 00000 => [6]
[3,5,6,1,1,1] => [4,5,1,6,2,3] => 00000 => [6]
[3,6,1,1,1,5] => [3,4,1,5,6,2] => 00000 => [6]
[3,6,1,1,5,1] => [3,4,1,6,5,2] => 00000 => [6]
[3,6,1,5,1,1] => [3,5,1,6,4,2] => 00000 => [6]
[3,6,5,1,1,1] => [4,5,1,6,3,2] => 00000 => [6]
[5,1,1,1,3,6] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,1,1,6,3] => [2,3,4,6,1,5] => 00000 => [6]
[5,1,1,3,1,6] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,1,3,6,1] => [2,3,4,6,1,5] => 00000 => [6]
[5,1,1,6,1,3] => [2,3,5,6,1,4] => 00000 => [6]
[5,1,1,6,3,1] => [2,3,5,6,1,4] => 00000 => [6]
[5,1,3,1,1,6] => [2,4,3,5,1,6] => 00001 => [5,1]
[5,1,3,1,6,1] => [2,4,3,6,1,5] => 00000 => [6]
[5,1,3,6,1,1] => [2,5,3,6,1,4] => 00000 => [6]
[5,1,6,1,1,3] => [2,4,5,6,1,3] => 00000 => [6]
[5,1,6,1,3,1] => [2,4,5,6,1,3] => 00000 => [6]
[5,1,6,3,1,1] => [2,5,4,6,1,3] => 00000 => [6]
[5,3,1,1,1,6] => [3,4,2,5,1,6] => 00001 => [5,1]
[5,3,1,1,6,1] => [3,4,2,6,1,5] => 00000 => [6]
[5,3,1,6,1,1] => [3,5,2,6,1,4] => 00000 => [6]
[5,3,6,1,1,1] => [4,5,2,6,1,3] => 00000 => [6]
[5,6,1,1,1,3] => [3,4,5,6,1,2] => 00000 => [6]
[5,6,1,1,3,1] => [3,4,5,6,1,2] => 00000 => [6]
[5,6,1,3,1,1] => [3,5,4,6,1,2] => 00000 => [6]
[5,6,3,1,1,1] => [4,5,3,6,1,2] => 00000 => [6]
[6,1,1,1,3,5] => [2,3,4,5,6,1] => 00000 => [6]
[6,1,1,1,5,3] => [2,3,4,6,5,1] => 00000 => [6]
[6,1,1,3,1,5] => [2,3,4,5,6,1] => 00000 => [6]
[6,1,1,3,5,1] => [2,3,4,6,5,1] => 00000 => [6]
[6,1,1,5,1,3] => [2,3,5,6,4,1] => 00000 => [6]
[6,1,1,5,3,1] => [2,3,5,6,4,1] => 00000 => [6]
[6,1,3,1,1,5] => [2,4,3,5,6,1] => 00000 => [6]
[6,1,3,1,5,1] => [2,4,3,6,5,1] => 00000 => [6]
[6,1,3,5,1,1] => [2,5,3,6,4,1] => 00000 => [6]
[6,1,5,1,1,3] => [2,4,5,6,3,1] => 00000 => [6]
[6,1,5,1,3,1] => [2,4,5,6,3,1] => 00000 => [6]
[6,1,5,3,1,1] => [2,5,4,6,3,1] => 00000 => [6]
[6,3,1,1,1,5] => [3,4,2,5,6,1] => 00000 => [6]
[6,3,1,1,5,1] => [3,4,2,6,5,1] => 00000 => [6]
[6,3,1,5,1,1] => [3,5,2,6,4,1] => 00000 => [6]
[6,3,5,1,1,1] => [4,5,2,6,3,1] => 00000 => [6]
[6,5,1,1,1,3] => [3,4,5,6,2,1] => 00000 => [6]
[6,5,1,1,3,1] => [3,4,5,6,2,1] => 00000 => [6]
[6,5,1,3,1,1] => [3,5,4,6,2,1] => 00000 => [6]
[6,5,3,1,1,1] => [4,5,3,6,2,1] => 00000 => [6]
[1,1,1,4,4,4] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,4,1,4,4] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,1,4,4,1,4] => [1,2,5,3,4,6] => 11001 => [1,1,3,1]
[1,1,4,4,4,1] => [1,2,6,3,4,5] => 11000 => [1,1,4]
[1,4,1,1,4,4] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,1,4,1,4] => [1,3,5,2,4,6] => 10001 => [1,4,1]
[1,4,1,4,4,1] => [1,3,6,2,4,5] => 10000 => [1,5]
[1,4,4,1,1,4] => [1,4,5,2,3,6] => 10001 => [1,4,1]
[1,4,4,1,4,1] => [1,4,6,2,3,5] => 10000 => [1,5]
[1,4,4,4,1,1] => [1,5,6,2,3,4] => 10000 => [1,5]
[4,1,1,1,4,4] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,1,4,1,4] => [2,3,5,1,4,6] => 00001 => [5,1]
[4,1,1,4,4,1] => [2,3,6,1,4,5] => 00000 => [6]
[4,1,4,1,1,4] => [2,4,5,1,3,6] => 00001 => [5,1]
[4,1,4,1,4,1] => [2,4,6,1,3,5] => 00000 => [6]
[4,1,4,4,1,1] => [2,5,6,1,3,4] => 00000 => [6]
[4,4,1,1,1,4] => [3,4,5,1,2,6] => 00001 => [5,1]
[4,4,1,1,4,1] => [3,4,6,1,2,5] => 00000 => [6]
[4,4,1,4,1,1] => [3,5,6,1,2,4] => 00000 => [6]
[4,4,4,1,1,1] => [4,5,6,1,2,3] => 00000 => [6]
[1,1,1,4,4,5] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,1,4,5,4] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,1,5,4,4] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,1,4,1,4,5] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,1,4,1,5,4] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,1,4,4,1,5] => [1,2,5,3,4,6] => 11001 => [1,1,3,1]
[1,1,4,4,5,1] => [1,2,6,3,4,5] => 11000 => [1,1,4]
[1,1,4,5,1,4] => [1,2,5,3,4,6] => 11001 => [1,1,3,1]
[1,1,4,5,4,1] => [1,2,6,3,4,5] => 11000 => [1,1,4]
[1,1,5,1,4,4] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,1,5,4,1,4] => [1,2,5,4,3,6] => 11001 => [1,1,3,1]
[1,1,5,4,4,1] => [1,2,6,4,3,5] => 11000 => [1,1,4]
[1,4,1,1,4,5] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,1,1,5,4] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,1,4,1,5] => [1,3,5,2,4,6] => 10001 => [1,4,1]
[1,4,1,4,5,1] => [1,3,6,2,4,5] => 10000 => [1,5]
[1,4,1,5,1,4] => [1,3,5,2,4,6] => 10001 => [1,4,1]
[1,4,1,5,4,1] => [1,3,6,2,4,5] => 10000 => [1,5]
[1,4,4,1,1,5] => [1,4,5,2,3,6] => 10001 => [1,4,1]
[1,4,4,1,5,1] => [1,4,6,2,3,5] => 10000 => [1,5]
[1,4,4,5,1,1] => [1,5,6,2,3,4] => 10000 => [1,5]
[1,4,5,1,1,4] => [1,4,5,2,3,6] => 10001 => [1,4,1]
[1,4,5,1,4,1] => [1,4,6,2,3,5] => 10000 => [1,5]
[1,4,5,4,1,1] => [1,5,6,2,3,4] => 10000 => [1,5]
[1,5,1,1,4,4] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,1,4,1,4] => [1,3,5,4,2,6] => 10001 => [1,4,1]
[1,5,1,4,4,1] => [1,3,6,4,2,5] => 10000 => [1,5]
[1,5,4,1,1,4] => [1,4,5,3,2,6] => 10001 => [1,4,1]
[1,5,4,1,4,1] => [1,4,6,3,2,5] => 10000 => [1,5]
[1,5,4,4,1,1] => [1,5,6,3,2,4] => 10000 => [1,5]
[4,1,1,1,4,5] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,1,1,5,4] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,1,4,1,5] => [2,3,5,1,4,6] => 00001 => [5,1]
[4,1,1,4,5,1] => [2,3,6,1,4,5] => 00000 => [6]
[4,1,1,5,1,4] => [2,3,5,1,4,6] => 00001 => [5,1]
[4,1,1,5,4,1] => [2,3,6,1,4,5] => 00000 => [6]
[4,1,4,1,1,5] => [2,4,5,1,3,6] => 00001 => [5,1]
[4,1,4,1,5,1] => [2,4,6,1,3,5] => 00000 => [6]
[4,1,4,5,1,1] => [2,5,6,1,3,4] => 00000 => [6]
[4,1,5,1,1,4] => [2,4,5,1,3,6] => 00001 => [5,1]
[4,1,5,1,4,1] => [2,4,6,1,3,5] => 00000 => [6]
[4,1,5,4,1,1] => [2,5,6,1,3,4] => 00000 => [6]
[4,4,1,1,1,5] => [3,4,5,1,2,6] => 00001 => [5,1]
[4,4,1,1,5,1] => [3,4,6,1,2,5] => 00000 => [6]
[4,4,1,5,1,1] => [3,5,6,1,2,4] => 00000 => [6]
[4,4,5,1,1,1] => [4,5,6,1,2,3] => 00000 => [6]
[4,5,1,1,1,4] => [3,4,5,1,2,6] => 00001 => [5,1]
[4,5,1,1,4,1] => [3,4,6,1,2,5] => 00000 => [6]
[4,5,1,4,1,1] => [3,5,6,1,2,4] => 00000 => [6]
[4,5,4,1,1,1] => [4,5,6,1,2,3] => 00000 => [6]
[5,1,1,1,4,4] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,1,4,1,4] => [2,3,5,4,1,6] => 00001 => [5,1]
[5,1,1,4,4,1] => [2,3,6,4,1,5] => 00000 => [6]
[5,1,4,1,1,4] => [2,4,5,3,1,6] => 00001 => [5,1]
[5,1,4,1,4,1] => [2,4,6,3,1,5] => 00000 => [6]
[5,1,4,4,1,1] => [2,5,6,3,1,4] => 00000 => [6]
[5,4,1,1,1,4] => [3,4,5,2,1,6] => 00001 => [5,1]
[5,4,1,1,4,1] => [3,4,6,2,1,5] => 00000 => [6]
[5,4,1,4,1,1] => [3,5,6,2,1,4] => 00000 => [6]
[5,4,4,1,1,1] => [4,5,6,2,1,3] => 00000 => [6]
[1,1,1,4,4,6] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,1,4,6,4] => [1,2,3,4,6,5] => 11110 => [1,1,1,1,2]
[1,1,1,6,4,4] => [1,2,3,5,6,4] => 11100 => [1,1,1,3]
[1,1,4,1,4,6] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,1,4,1,6,4] => [1,2,4,3,6,5] => 11010 => [1,1,2,2]
[1,1,4,4,1,6] => [1,2,5,3,4,6] => 11001 => [1,1,3,1]
[1,1,4,4,6,1] => [1,2,6,3,4,5] => 11000 => [1,1,4]
[1,1,4,6,1,4] => [1,2,5,3,6,4] => 11000 => [1,1,4]
[1,1,4,6,4,1] => [1,2,6,3,5,4] => 11000 => [1,1,4]
[1,1,6,1,4,4] => [1,2,4,5,6,3] => 11000 => [1,1,4]
[1,1,6,4,1,4] => [1,2,5,4,6,3] => 11000 => [1,1,4]
[1,1,6,4,4,1] => [1,2,6,4,5,3] => 11000 => [1,1,4]
[1,4,1,1,4,6] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,1,1,6,4] => [1,3,4,2,6,5] => 10010 => [1,3,2]
[1,4,1,4,1,6] => [1,3,5,2,4,6] => 10001 => [1,4,1]
[1,4,1,4,6,1] => [1,3,6,2,4,5] => 10000 => [1,5]
[1,4,1,6,1,4] => [1,3,5,2,6,4] => 10000 => [1,5]
[1,4,1,6,4,1] => [1,3,6,2,5,4] => 10000 => [1,5]
[1,4,4,1,1,6] => [1,4,5,2,3,6] => 10001 => [1,4,1]
[1,4,4,1,6,1] => [1,4,6,2,3,5] => 10000 => [1,5]
[1,4,4,6,1,1] => [1,5,6,2,3,4] => 10000 => [1,5]
[1,4,6,1,1,4] => [1,4,5,2,6,3] => 10000 => [1,5]
[1,4,6,1,4,1] => [1,4,6,2,5,3] => 10000 => [1,5]
[1,4,6,4,1,1] => [1,5,6,2,4,3] => 10000 => [1,5]
[1,6,1,1,4,4] => [1,3,4,5,6,2] => 10000 => [1,5]
[1,6,1,4,1,4] => [1,3,5,4,6,2] => 10000 => [1,5]
[1,6,1,4,4,1] => [1,3,6,4,5,2] => 10000 => [1,5]
[1,6,4,1,1,4] => [1,4,5,3,6,2] => 10000 => [1,5]
[1,6,4,1,4,1] => [1,4,6,3,5,2] => 10000 => [1,5]
[1,6,4,4,1,1] => [1,5,6,3,4,2] => 10000 => [1,5]
[4,1,1,1,4,6] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,1,1,6,4] => [2,3,4,1,6,5] => 00010 => [4,2]
[4,1,1,4,1,6] => [2,3,5,1,4,6] => 00001 => [5,1]
[4,1,1,4,6,1] => [2,3,6,1,4,5] => 00000 => [6]
[4,1,1,6,1,4] => [2,3,5,1,6,4] => 00000 => [6]
[4,1,1,6,4,1] => [2,3,6,1,5,4] => 00000 => [6]
[4,1,4,1,1,6] => [2,4,5,1,3,6] => 00001 => [5,1]
[4,1,4,1,6,1] => [2,4,6,1,3,5] => 00000 => [6]
[4,1,4,6,1,1] => [2,5,6,1,3,4] => 00000 => [6]
[4,1,6,1,1,4] => [2,4,5,1,6,3] => 00000 => [6]
[4,1,6,1,4,1] => [2,4,6,1,5,3] => 00000 => [6]
[4,1,6,4,1,1] => [2,5,6,1,4,3] => 00000 => [6]
[4,4,1,1,1,6] => [3,4,5,1,2,6] => 00001 => [5,1]
[4,4,1,1,6,1] => [3,4,6,1,2,5] => 00000 => [6]
[4,4,1,6,1,1] => [3,5,6,1,2,4] => 00000 => [6]
[4,4,6,1,1,1] => [4,5,6,1,2,3] => 00000 => [6]
[4,6,1,1,1,4] => [3,4,5,1,6,2] => 00000 => [6]
[4,6,1,1,4,1] => [3,4,6,1,5,2] => 00000 => [6]
[4,6,1,4,1,1] => [3,5,6,1,4,2] => 00000 => [6]
[4,6,4,1,1,1] => [4,5,6,1,3,2] => 00000 => [6]
[6,1,1,1,4,4] => [2,3,4,5,6,1] => 00000 => [6]
[6,1,1,4,1,4] => [2,3,5,4,6,1] => 00000 => [6]
[6,1,1,4,4,1] => [2,3,6,4,5,1] => 00000 => [6]
[6,1,4,1,1,4] => [2,4,5,3,6,1] => 00000 => [6]
[6,1,4,1,4,1] => [2,4,6,3,5,1] => 00000 => [6]
[6,1,4,4,1,1] => [2,5,6,3,4,1] => 00000 => [6]
[6,4,1,1,1,4] => [3,4,5,2,6,1] => 00000 => [6]
[6,4,1,1,4,1] => [3,4,6,2,5,1] => 00000 => [6]
[6,4,1,4,1,1] => [3,5,6,2,4,1] => 00000 => [6]
[6,4,4,1,1,1] => [4,5,6,2,3,1] => 00000 => [6]
[1,1,1,4,5,5] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,1,5,4,5] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,1,1,5,5,4] => [1,2,3,6,4,5] => 11100 => [1,1,1,3]
[1,1,4,1,5,5] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,1,4,5,1,5] => [1,2,5,3,4,6] => 11001 => [1,1,3,1]
[1,1,4,5,5,1] => [1,2,6,3,4,5] => 11000 => [1,1,4]
[1,1,5,1,4,5] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,1,5,1,5,4] => [1,2,4,6,3,5] => 11000 => [1,1,4]
[1,1,5,4,1,5] => [1,2,5,4,3,6] => 11001 => [1,1,3,1]
[1,1,5,4,5,1] => [1,2,6,4,3,5] => 11000 => [1,1,4]
[1,1,5,5,1,4] => [1,2,5,6,3,4] => 11000 => [1,1,4]
[1,1,5,5,4,1] => [1,2,6,5,3,4] => 11000 => [1,1,4]
[1,4,1,1,5,5] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,1,5,1,5] => [1,3,5,2,4,6] => 10001 => [1,4,1]
[1,4,1,5,5,1] => [1,3,6,2,4,5] => 10000 => [1,5]
[1,4,5,1,1,5] => [1,4,5,2,3,6] => 10001 => [1,4,1]
[1,4,5,1,5,1] => [1,4,6,2,3,5] => 10000 => [1,5]
[1,4,5,5,1,1] => [1,5,6,2,3,4] => 10000 => [1,5]
[1,5,1,1,4,5] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,1,1,5,4] => [1,3,4,6,2,5] => 10000 => [1,5]
[1,5,1,4,1,5] => [1,3,5,4,2,6] => 10001 => [1,4,1]
[1,5,1,4,5,1] => [1,3,6,4,2,5] => 10000 => [1,5]
[1,5,1,5,1,4] => [1,3,5,6,2,4] => 10000 => [1,5]
[1,5,1,5,4,1] => [1,3,6,5,2,4] => 10000 => [1,5]
[1,5,4,1,1,5] => [1,4,5,3,2,6] => 10001 => [1,4,1]
[1,5,4,1,5,1] => [1,4,6,3,2,5] => 10000 => [1,5]
[1,5,4,5,1,1] => [1,5,6,3,2,4] => 10000 => [1,5]
[1,5,5,1,1,4] => [1,4,5,6,2,3] => 10000 => [1,5]
[1,5,5,1,4,1] => [1,4,6,5,2,3] => 10000 => [1,5]
[1,5,5,4,1,1] => [1,5,6,4,2,3] => 10000 => [1,5]
[4,1,1,1,5,5] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,1,5,1,5] => [2,3,5,1,4,6] => 00001 => [5,1]
[4,1,1,5,5,1] => [2,3,6,1,4,5] => 00000 => [6]
[4,1,5,1,1,5] => [2,4,5,1,3,6] => 00001 => [5,1]
[4,1,5,1,5,1] => [2,4,6,1,3,5] => 00000 => [6]
[4,1,5,5,1,1] => [2,5,6,1,3,4] => 00000 => [6]
[4,5,1,1,1,5] => [3,4,5,1,2,6] => 00001 => [5,1]
[4,5,1,1,5,1] => [3,4,6,1,2,5] => 00000 => [6]
[4,5,1,5,1,1] => [3,5,6,1,2,4] => 00000 => [6]
[4,5,5,1,1,1] => [4,5,6,1,2,3] => 00000 => [6]
[5,1,1,1,4,5] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,1,1,5,4] => [2,3,4,6,1,5] => 00000 => [6]
[5,1,1,4,1,5] => [2,3,5,4,1,6] => 00001 => [5,1]
[5,1,1,4,5,1] => [2,3,6,4,1,5] => 00000 => [6]
[5,1,1,5,1,4] => [2,3,5,6,1,4] => 00000 => [6]
[5,1,1,5,4,1] => [2,3,6,5,1,4] => 00000 => [6]
[5,1,4,1,1,5] => [2,4,5,3,1,6] => 00001 => [5,1]
[5,1,4,1,5,1] => [2,4,6,3,1,5] => 00000 => [6]
[5,1,4,5,1,1] => [2,5,6,3,1,4] => 00000 => [6]
[5,1,5,1,1,4] => [2,4,5,6,1,3] => 00000 => [6]
[5,1,5,1,4,1] => [2,4,6,5,1,3] => 00000 => [6]
[5,1,5,4,1,1] => [2,5,6,4,1,3] => 00000 => [6]
[5,4,1,1,1,5] => [3,4,5,2,1,6] => 00001 => [5,1]
[5,4,1,1,5,1] => [3,4,6,2,1,5] => 00000 => [6]
[5,4,1,5,1,1] => [3,5,6,2,1,4] => 00000 => [6]
[5,4,5,1,1,1] => [4,5,6,2,1,3] => 00000 => [6]
[5,5,1,1,1,4] => [3,4,5,6,1,2] => 00000 => [6]
[5,5,1,1,4,1] => [3,4,6,5,1,2] => 00000 => [6]
[5,5,1,4,1,1] => [3,5,6,4,1,2] => 00000 => [6]
[5,5,4,1,1,1] => [4,5,6,3,1,2] => 00000 => [6]
[1,1,1,4,5,6] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,1,4,6,5] => [1,2,3,4,6,5] => 11110 => [1,1,1,1,2]
[1,1,1,5,4,6] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,1,1,5,6,4] => [1,2,3,6,4,5] => 11100 => [1,1,1,3]
[1,1,1,6,4,5] => [1,2,3,5,6,4] => 11100 => [1,1,1,3]
[1,1,1,6,5,4] => [1,2,3,6,5,4] => 11100 => [1,1,1,3]
[1,1,4,1,5,6] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,1,4,1,6,5] => [1,2,4,3,6,5] => 11010 => [1,1,2,2]
[1,1,4,5,1,6] => [1,2,5,3,4,6] => 11001 => [1,1,3,1]
[1,1,4,5,6,1] => [1,2,6,3,4,5] => 11000 => [1,1,4]
[1,1,4,6,1,5] => [1,2,5,3,6,4] => 11000 => [1,1,4]
[1,1,4,6,5,1] => [1,2,6,3,5,4] => 11000 => [1,1,4]
[1,1,5,1,4,6] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,1,5,1,6,4] => [1,2,4,6,3,5] => 11000 => [1,1,4]
[1,1,5,4,1,6] => [1,2,5,4,3,6] => 11001 => [1,1,3,1]
[1,1,5,4,6,1] => [1,2,6,4,3,5] => 11000 => [1,1,4]
[1,1,5,6,1,4] => [1,2,5,6,3,4] => 11000 => [1,1,4]
[1,1,5,6,4,1] => [1,2,6,5,3,4] => 11000 => [1,1,4]
[1,1,6,1,4,5] => [1,2,4,5,6,3] => 11000 => [1,1,4]
[1,1,6,1,5,4] => [1,2,4,6,5,3] => 11000 => [1,1,4]
[1,1,6,4,1,5] => [1,2,5,4,6,3] => 11000 => [1,1,4]
[1,1,6,4,5,1] => [1,2,6,4,5,3] => 11000 => [1,1,4]
[1,1,6,5,1,4] => [1,2,5,6,4,3] => 11000 => [1,1,4]
[1,1,6,5,4,1] => [1,2,6,5,4,3] => 11000 => [1,1,4]
[1,4,1,1,5,6] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,1,1,6,5] => [1,3,4,2,6,5] => 10010 => [1,3,2]
[1,4,1,5,1,6] => [1,3,5,2,4,6] => 10001 => [1,4,1]
[1,4,1,5,6,1] => [1,3,6,2,4,5] => 10000 => [1,5]
[1,4,1,6,1,5] => [1,3,5,2,6,4] => 10000 => [1,5]
[1,4,1,6,5,1] => [1,3,6,2,5,4] => 10000 => [1,5]
[1,4,5,1,1,6] => [1,4,5,2,3,6] => 10001 => [1,4,1]
[1,4,5,1,6,1] => [1,4,6,2,3,5] => 10000 => [1,5]
[1,4,5,6,1,1] => [1,5,6,2,3,4] => 10000 => [1,5]
[1,4,6,1,1,5] => [1,4,5,2,6,3] => 10000 => [1,5]
[1,4,6,1,5,1] => [1,4,6,2,5,3] => 10000 => [1,5]
[1,4,6,5,1,1] => [1,5,6,2,4,3] => 10000 => [1,5]
[1,5,1,1,4,6] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,1,1,6,4] => [1,3,4,6,2,5] => 10000 => [1,5]
[1,5,1,4,1,6] => [1,3,5,4,2,6] => 10001 => [1,4,1]
[1,5,1,4,6,1] => [1,3,6,4,2,5] => 10000 => [1,5]
[1,5,1,6,1,4] => [1,3,5,6,2,4] => 10000 => [1,5]
[1,5,1,6,4,1] => [1,3,6,5,2,4] => 10000 => [1,5]
[1,5,4,1,1,6] => [1,4,5,3,2,6] => 10001 => [1,4,1]
[1,5,4,1,6,1] => [1,4,6,3,2,5] => 10000 => [1,5]
[1,5,4,6,1,1] => [1,5,6,3,2,4] => 10000 => [1,5]
[1,5,6,1,1,4] => [1,4,5,6,2,3] => 10000 => [1,5]
[1,5,6,1,4,1] => [1,4,6,5,2,3] => 10000 => [1,5]
[1,5,6,4,1,1] => [1,5,6,4,2,3] => 10000 => [1,5]
[1,6,1,1,4,5] => [1,3,4,5,6,2] => 10000 => [1,5]
[1,6,1,1,5,4] => [1,3,4,6,5,2] => 10000 => [1,5]
[1,6,1,4,1,5] => [1,3,5,4,6,2] => 10000 => [1,5]
[1,6,1,4,5,1] => [1,3,6,4,5,2] => 10000 => [1,5]
[1,6,1,5,1,4] => [1,3,5,6,4,2] => 10000 => [1,5]
[1,6,1,5,4,1] => [1,3,6,5,4,2] => 10000 => [1,5]
[1,6,4,1,1,5] => [1,4,5,3,6,2] => 10000 => [1,5]
[1,6,4,1,5,1] => [1,4,6,3,5,2] => 10000 => [1,5]
[1,6,4,5,1,1] => [1,5,6,3,4,2] => 10000 => [1,5]
[1,6,5,1,1,4] => [1,4,5,6,3,2] => 10000 => [1,5]
[1,6,5,1,4,1] => [1,4,6,5,3,2] => 10000 => [1,5]
[1,6,5,4,1,1] => [1,5,6,4,3,2] => 10000 => [1,5]
[4,1,1,1,5,6] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,1,1,6,5] => [2,3,4,1,6,5] => 00010 => [4,2]
[4,1,1,5,1,6] => [2,3,5,1,4,6] => 00001 => [5,1]
[4,1,1,5,6,1] => [2,3,6,1,4,5] => 00000 => [6]
[4,1,1,6,1,5] => [2,3,5,1,6,4] => 00000 => [6]
[4,1,1,6,5,1] => [2,3,6,1,5,4] => 00000 => [6]
[4,1,5,1,1,6] => [2,4,5,1,3,6] => 00001 => [5,1]
[4,1,5,1,6,1] => [2,4,6,1,3,5] => 00000 => [6]
[4,1,5,6,1,1] => [2,5,6,1,3,4] => 00000 => [6]
[4,1,6,1,1,5] => [2,4,5,1,6,3] => 00000 => [6]
[4,1,6,1,5,1] => [2,4,6,1,5,3] => 00000 => [6]
[4,1,6,5,1,1] => [2,5,6,1,4,3] => 00000 => [6]
[4,5,1,1,1,6] => [3,4,5,1,2,6] => 00001 => [5,1]
[4,5,1,1,6,1] => [3,4,6,1,2,5] => 00000 => [6]
[4,5,1,6,1,1] => [3,5,6,1,2,4] => 00000 => [6]
[4,5,6,1,1,1] => [4,5,6,1,2,3] => 00000 => [6]
[4,6,1,1,1,5] => [3,4,5,1,6,2] => 00000 => [6]
[4,6,1,1,5,1] => [3,4,6,1,5,2] => 00000 => [6]
[4,6,1,5,1,1] => [3,5,6,1,4,2] => 00000 => [6]
[4,6,5,1,1,1] => [4,5,6,1,3,2] => 00000 => [6]
[5,1,1,1,4,6] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,1,1,6,4] => [2,3,4,6,1,5] => 00000 => [6]
[5,1,1,4,1,6] => [2,3,5,4,1,6] => 00001 => [5,1]
[5,1,1,4,6,1] => [2,3,6,4,1,5] => 00000 => [6]
[5,1,1,6,1,4] => [2,3,5,6,1,4] => 00000 => [6]
[5,1,1,6,4,1] => [2,3,6,5,1,4] => 00000 => [6]
[5,1,4,1,1,6] => [2,4,5,3,1,6] => 00001 => [5,1]
[5,1,4,1,6,1] => [2,4,6,3,1,5] => 00000 => [6]
[5,1,4,6,1,1] => [2,5,6,3,1,4] => 00000 => [6]
[5,1,6,1,1,4] => [2,4,5,6,1,3] => 00000 => [6]
[5,1,6,1,4,1] => [2,4,6,5,1,3] => 00000 => [6]
[5,1,6,4,1,1] => [2,5,6,4,1,3] => 00000 => [6]
[5,4,1,1,1,6] => [3,4,5,2,1,6] => 00001 => [5,1]
[5,4,1,1,6,1] => [3,4,6,2,1,5] => 00000 => [6]
[5,4,1,6,1,1] => [3,5,6,2,1,4] => 00000 => [6]
[5,4,6,1,1,1] => [4,5,6,2,1,3] => 00000 => [6]
[5,6,1,1,1,4] => [3,4,5,6,1,2] => 00000 => [6]
[5,6,1,1,4,1] => [3,4,6,5,1,2] => 00000 => [6]
[5,6,1,4,1,1] => [3,5,6,4,1,2] => 00000 => [6]
[5,6,4,1,1,1] => [4,5,6,3,1,2] => 00000 => [6]
[6,1,1,1,4,5] => [2,3,4,5,6,1] => 00000 => [6]
[6,1,1,1,5,4] => [2,3,4,6,5,1] => 00000 => [6]
[6,1,1,4,1,5] => [2,3,5,4,6,1] => 00000 => [6]
[6,1,1,4,5,1] => [2,3,6,4,5,1] => 00000 => [6]
[6,1,1,5,1,4] => [2,3,5,6,4,1] => 00000 => [6]
[6,1,1,5,4,1] => [2,3,6,5,4,1] => 00000 => [6]
[6,1,4,1,1,5] => [2,4,5,3,6,1] => 00000 => [6]
[6,1,4,1,5,1] => [2,4,6,3,5,1] => 00000 => [6]
[6,1,4,5,1,1] => [2,5,6,3,4,1] => 00000 => [6]
[6,1,5,1,1,4] => [2,4,5,6,3,1] => 00000 => [6]
[6,1,5,1,4,1] => [2,4,6,5,3,1] => 00000 => [6]
[6,1,5,4,1,1] => [2,5,6,4,3,1] => 00000 => [6]
[6,4,1,1,1,5] => [3,4,5,2,6,1] => 00000 => [6]
[6,4,1,1,5,1] => [3,4,6,2,5,1] => 00000 => [6]
[6,4,1,5,1,1] => [3,5,6,2,4,1] => 00000 => [6]
[6,4,5,1,1,1] => [4,5,6,2,3,1] => 00000 => [6]
[6,5,1,1,1,4] => [3,4,5,6,2,1] => 00000 => [6]
[6,5,1,1,4,1] => [3,4,6,5,2,1] => 00000 => [6]
[6,5,1,4,1,1] => [3,5,6,4,2,1] => 00000 => [6]
[6,5,4,1,1,1] => [4,5,6,3,2,1] => 00000 => [6]
[1,1,2,2,2,2] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,1,2,2,2] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,2,1,2,2] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,2,2,1,2] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,2,2,2,1] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[2,1,1,2,2,2] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,2,1,2,2] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,2,2,1,2] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,2,2,2,1] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,2,1,1,2,2] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,2,1,2,1,2] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,2,1,2,2,1] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,2,2,1,1,2] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,2,2,1,2,1] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,2,2,2,1,1] => [5,1,2,3,4,6] => 00001 => [5,1]
[1,1,2,2,2,3] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,2,2,3,2] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,2,3,2,2] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,3,2,2,2] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,1,2,2,3] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,1,2,3,2] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,1,3,2,2] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,2,1,2,3] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,2,1,3,2] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,2,2,1,3] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,2,2,3,1] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,2,3,1,2] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,2,3,2,1] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,3,1,2,2] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,3,2,1,2] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,3,2,2,1] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,3,1,2,2,2] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,2,1,2,2] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,2,2,1,2] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,2,2,2,1] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[2,1,1,2,2,3] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,1,2,3,2] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,1,3,2,2] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,2,1,2,3] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,2,1,3,2] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,2,2,1,3] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,2,2,3,1] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,2,3,1,2] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,2,3,2,1] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,3,1,2,2] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,3,2,1,2] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,3,2,2,1] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,2,1,1,2,3] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,2,1,1,3,2] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,2,1,2,1,3] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,2,1,2,3,1] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,2,1,3,1,2] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,2,1,3,2,1] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,2,2,1,1,3] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,2,2,1,3,1] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,2,2,3,1,1] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,2,3,1,1,2] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,2,3,1,2,1] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,2,3,2,1,1] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,3,1,1,2,2] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,3,1,2,1,2] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,3,1,2,2,1] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,3,2,1,1,2] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,3,2,1,2,1] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,3,2,2,1,1] => [5,1,2,3,4,6] => 00001 => [5,1]
[3,1,1,2,2,2] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,2,1,2,2] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,2,2,1,2] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,2,2,2,1] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,2,1,1,2,2] => [3,2,1,4,5,6] => 00111 => [3,1,1,1]
[3,2,1,2,1,2] => [3,2,1,4,5,6] => 00111 => [3,1,1,1]
[3,2,1,2,2,1] => [3,2,1,4,5,6] => 00111 => [3,1,1,1]
[3,2,2,1,1,2] => [4,2,1,3,5,6] => 00011 => [4,1,1]
[3,2,2,1,2,1] => [4,2,1,3,5,6] => 00011 => [4,1,1]
[3,2,2,2,1,1] => [5,2,1,3,4,6] => 00001 => [5,1]
[1,1,2,2,2,4] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,2,2,4,2] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,2,4,2,2] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,4,2,2,2] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,2,1,2,2,4] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,1,2,4,2] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,1,4,2,2] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,2,1,2,4] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,2,1,4,2] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,2,2,1,4] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,2,2,4,1] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,2,4,1,2] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,2,4,2,1] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,4,1,2,2] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,2,4,2,1,2] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,2,4,2,2,1] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,4,1,2,2,2] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,2,1,2,2] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,2,2,1,2] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,2,2,2,1] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[2,1,1,2,2,4] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,1,2,4,2] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,1,4,2,2] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,2,1,2,4] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,2,1,4,2] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,2,2,1,4] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,2,2,4,1] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,2,4,1,2] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,2,4,2,1] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,4,1,2,2] => [2,1,4,3,5,6] => 01011 => [2,2,1,1]
[2,1,4,2,1,2] => [2,1,4,3,5,6] => 01011 => [2,2,1,1]
[2,1,4,2,2,1] => [2,1,4,3,5,6] => 01011 => [2,2,1,1]
[2,2,1,1,2,4] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,2,1,1,4,2] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,2,1,2,1,4] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,2,1,2,4,1] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,2,1,4,1,2] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,2,1,4,2,1] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,2,2,1,1,4] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,2,2,1,4,1] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,2,2,4,1,1] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,2,4,1,1,2] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,2,4,1,2,1] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,2,4,2,1,1] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,4,1,1,2,2] => [3,1,4,2,5,6] => 00011 => [4,1,1]
[2,4,1,2,1,2] => [3,1,4,2,5,6] => 00011 => [4,1,1]
[2,4,1,2,2,1] => [3,1,4,2,5,6] => 00011 => [4,1,1]
[2,4,2,1,1,2] => [4,1,3,2,5,6] => 00011 => [4,1,1]
[2,4,2,1,2,1] => [4,1,3,2,5,6] => 00011 => [4,1,1]
[2,4,2,2,1,1] => [5,1,3,2,4,6] => 00001 => [5,1]
[4,1,1,2,2,2] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,2,1,2,2] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,2,2,1,2] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,2,2,2,1] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,2,1,1,2,2] => [3,2,4,1,5,6] => 00011 => [4,1,1]
[4,2,1,2,1,2] => [3,2,4,1,5,6] => 00011 => [4,1,1]
[4,2,1,2,2,1] => [3,2,4,1,5,6] => 00011 => [4,1,1]
[4,2,2,1,1,2] => [4,2,3,1,5,6] => 00011 => [4,1,1]
[4,2,2,1,2,1] => [4,2,3,1,5,6] => 00011 => [4,1,1]
[4,2,2,2,1,1] => [5,2,3,1,4,6] => 00001 => [5,1]
[1,1,2,2,2,5] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,2,2,5,2] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,2,5,2,2] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,1,5,2,2,2] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,2,1,2,2,5] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,1,2,5,2] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,1,5,2,2] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,2,2,1,2,5] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,2,1,5,2] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,2,2,1,5] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,2,2,5,1] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,2,5,1,2] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,2,2,5,2,1] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,2,5,1,2,2] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,2,5,2,1,2] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,2,5,2,2,1] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,5,1,2,2,2] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,2,1,2,2] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,2,2,1,2] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,2,2,2,1] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[2,1,1,2,2,5] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,1,2,5,2] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,1,5,2,2] => [2,1,3,5,4,6] => 01101 => [2,1,2,1]
[2,1,2,1,2,5] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,2,1,5,2] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,2,2,1,5] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,2,2,5,1] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,2,5,1,2] => [2,1,3,5,4,6] => 01101 => [2,1,2,1]
[2,1,2,5,2,1] => [2,1,3,5,4,6] => 01101 => [2,1,2,1]
[2,1,5,1,2,2] => [2,1,4,5,3,6] => 01001 => [2,3,1]
[2,1,5,2,1,2] => [2,1,4,5,3,6] => 01001 => [2,3,1]
[2,1,5,2,2,1] => [2,1,4,5,3,6] => 01001 => [2,3,1]
[2,2,1,1,2,5] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,2,1,1,5,2] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,2,1,2,1,5] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,2,1,2,5,1] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,2,1,5,1,2] => [3,1,2,5,4,6] => 00101 => [3,2,1]
[2,2,1,5,2,1] => [3,1,2,5,4,6] => 00101 => [3,2,1]
[2,2,2,1,1,5] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,2,2,1,5,1] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,2,2,5,1,1] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,2,5,1,1,2] => [4,1,2,5,3,6] => 00001 => [5,1]
[2,2,5,1,2,1] => [4,1,2,5,3,6] => 00001 => [5,1]
[2,2,5,2,1,1] => [5,1,2,4,3,6] => 00001 => [5,1]
[2,5,1,1,2,2] => [3,1,4,5,2,6] => 00001 => [5,1]
[2,5,1,2,1,2] => [3,1,4,5,2,6] => 00001 => [5,1]
[2,5,1,2,2,1] => [3,1,4,5,2,6] => 00001 => [5,1]
[2,5,2,1,1,2] => [4,1,3,5,2,6] => 00001 => [5,1]
[2,5,2,1,2,1] => [4,1,3,5,2,6] => 00001 => [5,1]
[2,5,2,2,1,1] => [5,1,3,4,2,6] => 00001 => [5,1]
[5,1,1,2,2,2] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,2,1,2,2] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,2,2,1,2] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,2,2,2,1] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,2,1,1,2,2] => [3,2,4,5,1,6] => 00001 => [5,1]
[5,2,1,2,1,2] => [3,2,4,5,1,6] => 00001 => [5,1]
[5,2,1,2,2,1] => [3,2,4,5,1,6] => 00001 => [5,1]
[5,2,2,1,1,2] => [4,2,3,5,1,6] => 00001 => [5,1]
[5,2,2,1,2,1] => [4,2,3,5,1,6] => 00001 => [5,1]
[5,2,2,2,1,1] => [5,2,3,4,1,6] => 00001 => [5,1]
[1,1,2,2,2,6] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,2,2,6,2] => [1,2,3,4,6,5] => 11110 => [1,1,1,1,2]
[1,1,2,6,2,2] => [1,2,3,5,6,4] => 11100 => [1,1,1,3]
[1,1,6,2,2,2] => [1,2,4,5,6,3] => 11000 => [1,1,4]
[1,2,1,2,2,6] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,1,2,6,2] => [1,2,3,4,6,5] => 11110 => [1,1,1,1,2]
[1,2,1,6,2,2] => [1,2,3,5,6,4] => 11100 => [1,1,1,3]
[1,2,2,1,2,6] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,2,1,6,2] => [1,2,3,4,6,5] => 11110 => [1,1,1,1,2]
[1,2,2,2,1,6] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,2,2,6,1] => [1,2,3,4,6,5] => 11110 => [1,1,1,1,2]
[1,2,2,6,1,2] => [1,2,3,5,6,4] => 11100 => [1,1,1,3]
[1,2,2,6,2,1] => [1,2,3,5,6,4] => 11100 => [1,1,1,3]
[1,2,6,1,2,2] => [1,2,4,5,6,3] => 11000 => [1,1,4]
[1,2,6,2,1,2] => [1,2,4,5,6,3] => 11000 => [1,1,4]
[1,2,6,2,2,1] => [1,2,4,5,6,3] => 11000 => [1,1,4]
[1,6,1,2,2,2] => [1,3,4,5,6,2] => 10000 => [1,5]
[1,6,2,1,2,2] => [1,3,4,5,6,2] => 10000 => [1,5]
[1,6,2,2,1,2] => [1,3,4,5,6,2] => 10000 => [1,5]
[1,6,2,2,2,1] => [1,3,4,5,6,2] => 10000 => [1,5]
[2,1,1,2,2,6] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,1,2,6,2] => [2,1,3,4,6,5] => 01110 => [2,1,1,2]
[2,1,1,6,2,2] => [2,1,3,5,6,4] => 01100 => [2,1,3]
[2,1,2,1,2,6] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,2,1,6,2] => [2,1,3,4,6,5] => 01110 => [2,1,1,2]
[2,1,2,2,1,6] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,2,2,6,1] => [2,1,3,4,6,5] => 01110 => [2,1,1,2]
[2,1,2,6,1,2] => [2,1,3,5,6,4] => 01100 => [2,1,3]
[2,1,2,6,2,1] => [2,1,3,5,6,4] => 01100 => [2,1,3]
[2,1,6,1,2,2] => [2,1,4,5,6,3] => 01000 => [2,4]
[2,1,6,2,1,2] => [2,1,4,5,6,3] => 01000 => [2,4]
[2,1,6,2,2,1] => [2,1,4,5,6,3] => 01000 => [2,4]
[2,2,1,1,2,6] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,2,1,1,6,2] => [3,1,2,4,6,5] => 00110 => [3,1,2]
[2,2,1,2,1,6] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,2,1,2,6,1] => [3,1,2,4,6,5] => 00110 => [3,1,2]
[2,2,1,6,1,2] => [3,1,2,5,6,4] => 00100 => [3,3]
[2,2,1,6,2,1] => [3,1,2,5,6,4] => 00100 => [3,3]
[2,2,2,1,1,6] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,2,2,1,6,1] => [4,1,2,3,6,5] => 00010 => [4,2]
[2,2,2,6,1,1] => [5,1,2,3,6,4] => 00000 => [6]
[2,2,6,1,1,2] => [4,1,2,5,6,3] => 00000 => [6]
[2,2,6,1,2,1] => [4,1,2,5,6,3] => 00000 => [6]
[2,2,6,2,1,1] => [5,1,2,4,6,3] => 00000 => [6]
[2,6,1,1,2,2] => [3,1,4,5,6,2] => 00000 => [6]
[2,6,1,2,1,2] => [3,1,4,5,6,2] => 00000 => [6]
[2,6,1,2,2,1] => [3,1,4,5,6,2] => 00000 => [6]
[2,6,2,1,1,2] => [4,1,3,5,6,2] => 00000 => [6]
[2,6,2,1,2,1] => [4,1,3,5,6,2] => 00000 => [6]
[2,6,2,2,1,1] => [5,1,3,4,6,2] => 00000 => [6]
[6,1,1,2,2,2] => [2,3,4,5,6,1] => 00000 => [6]
[6,1,2,1,2,2] => [2,3,4,5,6,1] => 00000 => [6]
[6,1,2,2,1,2] => [2,3,4,5,6,1] => 00000 => [6]
[6,1,2,2,2,1] => [2,3,4,5,6,1] => 00000 => [6]
[6,2,1,1,2,2] => [3,2,4,5,6,1] => 00000 => [6]
[6,2,1,2,1,2] => [3,2,4,5,6,1] => 00000 => [6]
[6,2,1,2,2,1] => [3,2,4,5,6,1] => 00000 => [6]
[6,2,2,1,1,2] => [4,2,3,5,6,1] => 00000 => [6]
[6,2,2,1,2,1] => [4,2,3,5,6,1] => 00000 => [6]
[6,2,2,2,1,1] => [5,2,3,4,6,1] => 00000 => [6]
[1,1,2,2,3,3] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,2,3,2,3] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,2,3,3,2] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,3,2,2,3] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,3,2,3,2] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,3,3,2,2] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,1,2,3,3] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,1,3,2,3] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,1,3,3,2] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,2,1,3,3] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,2,3,1,3] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,2,3,3,1] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,3,1,2,3] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,3,1,3,2] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,3,2,1,3] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,3,2,3,1] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,3,3,1,2] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,3,3,2,1] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,3,1,2,2,3] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,1,2,3,2] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,1,3,2,2] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,2,1,2,3] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,2,1,3,2] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,2,2,1,3] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,2,2,3,1] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,2,3,1,2] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,2,3,2,1] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,3,1,2,2] => [1,4,2,3,5,6] => 10011 => [1,3,1,1]
[1,3,3,2,1,2] => [1,4,2,3,5,6] => 10011 => [1,3,1,1]
[1,3,3,2,2,1] => [1,4,2,3,5,6] => 10011 => [1,3,1,1]
[2,1,1,2,3,3] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,1,3,2,3] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,1,3,3,2] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,2,1,3,3] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,2,3,1,3] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,2,3,3,1] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,3,1,2,3] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,3,1,3,2] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,3,2,1,3] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,3,2,3,1] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,3,3,1,2] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,3,3,2,1] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,2,1,1,3,3] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,2,1,3,1,3] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,2,1,3,3,1] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,2,3,1,1,3] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,2,3,1,3,1] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,2,3,3,1,1] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,3,1,1,2,3] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,3,1,1,3,2] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,3,1,2,1,3] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,3,1,2,3,1] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,3,1,3,1,2] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,3,1,3,2,1] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,3,2,1,1,3] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,3,2,1,3,1] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,3,2,3,1,1] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,3,3,1,1,2] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,3,3,1,2,1] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,3,3,2,1,1] => [5,1,2,3,4,6] => 00001 => [5,1]
[3,1,1,2,2,3] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,1,2,3,2] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,1,3,2,2] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,2,1,2,3] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,2,1,3,2] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,2,2,1,3] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,2,2,3,1] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,2,3,1,2] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,2,3,2,1] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,3,1,2,2] => [2,4,1,3,5,6] => 00011 => [4,1,1]
[3,1,3,2,1,2] => [2,4,1,3,5,6] => 00011 => [4,1,1]
[3,1,3,2,2,1] => [2,4,1,3,5,6] => 00011 => [4,1,1]
[3,2,1,1,2,3] => [3,2,1,4,5,6] => 00111 => [3,1,1,1]
[3,2,1,1,3,2] => [3,2,1,4,5,6] => 00111 => [3,1,1,1]
[3,2,1,2,1,3] => [3,2,1,4,5,6] => 00111 => [3,1,1,1]
[3,2,1,2,3,1] => [3,2,1,4,5,6] => 00111 => [3,1,1,1]
[3,2,1,3,1,2] => [3,2,1,4,5,6] => 00111 => [3,1,1,1]
[3,2,1,3,2,1] => [3,2,1,4,5,6] => 00111 => [3,1,1,1]
[3,2,2,1,1,3] => [4,2,1,3,5,6] => 00011 => [4,1,1]
[3,2,2,1,3,1] => [4,2,1,3,5,6] => 00011 => [4,1,1]
[3,2,2,3,1,1] => [5,2,1,3,4,6] => 00001 => [5,1]
[3,2,3,1,1,2] => [4,2,1,3,5,6] => 00011 => [4,1,1]
[3,2,3,1,2,1] => [4,2,1,3,5,6] => 00011 => [4,1,1]
[3,2,3,2,1,1] => [5,2,1,3,4,6] => 00001 => [5,1]
[3,3,1,1,2,2] => [3,4,1,2,5,6] => 00011 => [4,1,1]
[3,3,1,2,1,2] => [3,4,1,2,5,6] => 00011 => [4,1,1]
[3,3,1,2,2,1] => [3,4,1,2,5,6] => 00011 => [4,1,1]
[3,3,2,1,1,2] => [4,3,1,2,5,6] => 00011 => [4,1,1]
[3,3,2,1,2,1] => [4,3,1,2,5,6] => 00011 => [4,1,1]
[3,3,2,2,1,1] => [5,3,1,2,4,6] => 00001 => [5,1]
[1,1,2,2,3,4] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,2,2,4,3] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,2,3,2,4] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,2,3,4,2] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,2,4,2,3] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,2,4,3,2] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,3,2,2,4] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,3,2,4,2] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,3,4,2,2] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,4,2,2,3] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,1,4,2,3,2] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,1,4,3,2,2] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,2,1,2,3,4] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,1,2,4,3] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,1,3,2,4] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,1,3,4,2] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,1,4,2,3] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,1,4,3,2] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,2,1,3,4] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,2,1,4,3] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,2,3,1,4] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,2,3,4,1] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,2,4,1,3] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,2,4,3,1] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,3,1,2,4] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,3,1,4,2] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,3,2,1,4] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,3,2,4,1] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,3,4,1,2] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,3,4,2,1] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,4,1,2,3] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,2,4,1,3,2] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,2,4,2,1,3] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,2,4,2,3,1] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,2,4,3,1,2] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,2,4,3,2,1] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,3,1,2,2,4] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,1,2,4,2] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,1,4,2,2] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,2,1,2,4] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,2,1,4,2] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,2,2,1,4] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,2,2,4,1] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,2,4,1,2] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,2,4,2,1] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,4,1,2,2] => [1,4,2,3,5,6] => 10011 => [1,3,1,1]
[1,3,4,2,1,2] => [1,4,2,3,5,6] => 10011 => [1,3,1,1]
[1,3,4,2,2,1] => [1,4,2,3,5,6] => 10011 => [1,3,1,1]
[1,4,1,2,2,3] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,1,2,3,2] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,1,3,2,2] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,2,1,2,3] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,2,1,3,2] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,2,2,1,3] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,2,2,3,1] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,2,3,1,2] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,2,3,2,1] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,3,1,2,2] => [1,4,3,2,5,6] => 10011 => [1,3,1,1]
[1,4,3,2,1,2] => [1,4,3,2,5,6] => 10011 => [1,3,1,1]
[1,4,3,2,2,1] => [1,4,3,2,5,6] => 10011 => [1,3,1,1]
[2,1,1,2,3,4] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,1,2,4,3] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,1,3,2,4] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,1,3,4,2] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,1,4,2,3] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,1,4,3,2] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,2,1,3,4] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,2,1,4,3] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,2,3,1,4] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,2,3,4,1] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,2,4,1,3] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,2,4,3,1] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,3,1,2,4] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,3,1,4,2] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,3,2,1,4] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,3,2,4,1] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,3,4,1,2] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,3,4,2,1] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,4,1,2,3] => [2,1,4,3,5,6] => 01011 => [2,2,1,1]
[2,1,4,1,3,2] => [2,1,4,3,5,6] => 01011 => [2,2,1,1]
[2,1,4,2,1,3] => [2,1,4,3,5,6] => 01011 => [2,2,1,1]
[2,1,4,2,3,1] => [2,1,4,3,5,6] => 01011 => [2,2,1,1]
[2,1,4,3,1,2] => [2,1,4,3,5,6] => 01011 => [2,2,1,1]
[2,1,4,3,2,1] => [2,1,4,3,5,6] => 01011 => [2,2,1,1]
[2,2,1,1,3,4] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,2,1,1,4,3] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,2,1,3,1,4] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,2,1,3,4,1] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,2,1,4,1,3] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,2,1,4,3,1] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,2,3,1,1,4] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,2,3,1,4,1] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,2,3,4,1,1] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,2,4,1,1,3] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,2,4,1,3,1] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,2,4,3,1,1] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,3,1,1,2,4] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,3,1,1,4,2] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,3,1,2,1,4] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,3,1,2,4,1] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,3,1,4,1,2] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,3,1,4,2,1] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,3,2,1,1,4] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,3,2,1,4,1] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,3,2,4,1,1] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,3,4,1,1,2] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,3,4,1,2,1] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,3,4,2,1,1] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,4,1,1,2,3] => [3,1,4,2,5,6] => 00011 => [4,1,1]
[2,4,1,1,3,2] => [3,1,4,2,5,6] => 00011 => [4,1,1]
[2,4,1,2,1,3] => [3,1,4,2,5,6] => 00011 => [4,1,1]
[2,4,1,2,3,1] => [3,1,4,2,5,6] => 00011 => [4,1,1]
[2,4,1,3,1,2] => [3,1,4,2,5,6] => 00011 => [4,1,1]
[2,4,1,3,2,1] => [3,1,4,2,5,6] => 00011 => [4,1,1]
[2,4,2,1,1,3] => [4,1,3,2,5,6] => 00011 => [4,1,1]
[2,4,2,1,3,1] => [4,1,3,2,5,6] => 00011 => [4,1,1]
[2,4,2,3,1,1] => [5,1,3,2,4,6] => 00001 => [5,1]
[2,4,3,1,1,2] => [4,1,3,2,5,6] => 00011 => [4,1,1]
[2,4,3,1,2,1] => [4,1,3,2,5,6] => 00011 => [4,1,1]
[2,4,3,2,1,1] => [5,1,3,2,4,6] => 00001 => [5,1]
[3,1,1,2,2,4] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,1,2,4,2] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,1,4,2,2] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,2,1,2,4] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,2,1,4,2] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,2,2,1,4] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,2,2,4,1] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,2,4,1,2] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,2,4,2,1] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,4,1,2,2] => [2,4,1,3,5,6] => 00011 => [4,1,1]
[3,1,4,2,1,2] => [2,4,1,3,5,6] => 00011 => [4,1,1]
[3,1,4,2,2,1] => [2,4,1,3,5,6] => 00011 => [4,1,1]
[3,2,1,1,2,4] => [3,2,1,4,5,6] => 00111 => [3,1,1,1]
[3,2,1,1,4,2] => [3,2,1,4,5,6] => 00111 => [3,1,1,1]
[3,2,1,2,1,4] => [3,2,1,4,5,6] => 00111 => [3,1,1,1]
[3,2,1,2,4,1] => [3,2,1,4,5,6] => 00111 => [3,1,1,1]
[3,2,1,4,1,2] => [3,2,1,4,5,6] => 00111 => [3,1,1,1]
[3,2,1,4,2,1] => [3,2,1,4,5,6] => 00111 => [3,1,1,1]
[3,2,2,1,1,4] => [4,2,1,3,5,6] => 00011 => [4,1,1]
[3,2,2,1,4,1] => [4,2,1,3,5,6] => 00011 => [4,1,1]
[3,2,2,4,1,1] => [5,2,1,3,4,6] => 00001 => [5,1]
[3,2,4,1,1,2] => [4,2,1,3,5,6] => 00011 => [4,1,1]
[3,2,4,1,2,1] => [4,2,1,3,5,6] => 00011 => [4,1,1]
[3,2,4,2,1,1] => [5,2,1,3,4,6] => 00001 => [5,1]
[3,4,1,1,2,2] => [3,4,1,2,5,6] => 00011 => [4,1,1]
[3,4,1,2,1,2] => [3,4,1,2,5,6] => 00011 => [4,1,1]
[3,4,1,2,2,1] => [3,4,1,2,5,6] => 00011 => [4,1,1]
[3,4,2,1,1,2] => [4,3,1,2,5,6] => 00011 => [4,1,1]
[3,4,2,1,2,1] => [4,3,1,2,5,6] => 00011 => [4,1,1]
[3,4,2,2,1,1] => [5,3,1,2,4,6] => 00001 => [5,1]
[4,1,1,2,2,3] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,1,2,3,2] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,1,3,2,2] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,2,1,2,3] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,2,1,3,2] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,2,2,1,3] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,2,2,3,1] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,2,3,1,2] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,2,3,2,1] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,3,1,2,2] => [2,4,3,1,5,6] => 00011 => [4,1,1]
[4,1,3,2,1,2] => [2,4,3,1,5,6] => 00011 => [4,1,1]
[4,1,3,2,2,1] => [2,4,3,1,5,6] => 00011 => [4,1,1]
[4,2,1,1,2,3] => [3,2,4,1,5,6] => 00011 => [4,1,1]
[4,2,1,1,3,2] => [3,2,4,1,5,6] => 00011 => [4,1,1]
[4,2,1,2,1,3] => [3,2,4,1,5,6] => 00011 => [4,1,1]
[4,2,1,2,3,1] => [3,2,4,1,5,6] => 00011 => [4,1,1]
[4,2,1,3,1,2] => [3,2,4,1,5,6] => 00011 => [4,1,1]
[4,2,1,3,2,1] => [3,2,4,1,5,6] => 00011 => [4,1,1]
[4,2,2,1,1,3] => [4,2,3,1,5,6] => 00011 => [4,1,1]
[4,2,2,1,3,1] => [4,2,3,1,5,6] => 00011 => [4,1,1]
[4,2,2,3,1,1] => [5,2,3,1,4,6] => 00001 => [5,1]
[4,2,3,1,1,2] => [4,2,3,1,5,6] => 00011 => [4,1,1]
[4,2,3,1,2,1] => [4,2,3,1,5,6] => 00011 => [4,1,1]
[4,2,3,2,1,1] => [5,2,3,1,4,6] => 00001 => [5,1]
[4,3,1,1,2,2] => [3,4,2,1,5,6] => 00011 => [4,1,1]
[4,3,1,2,1,2] => [3,4,2,1,5,6] => 00011 => [4,1,1]
[4,3,1,2,2,1] => [3,4,2,1,5,6] => 00011 => [4,1,1]
[4,3,2,1,1,2] => [4,3,2,1,5,6] => 00011 => [4,1,1]
[4,3,2,1,2,1] => [4,3,2,1,5,6] => 00011 => [4,1,1]
[4,3,2,2,1,1] => [5,3,2,1,4,6] => 00001 => [5,1]
[1,1,2,2,3,5] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,2,2,5,3] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,2,3,2,5] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,2,3,5,2] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,2,5,2,3] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,1,2,5,3,2] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,1,3,2,2,5] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,3,2,5,2] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,3,5,2,2] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,1,5,2,2,3] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,1,5,2,3,2] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,1,5,3,2,2] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,2,1,2,3,5] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,1,2,5,3] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,1,3,2,5] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,1,3,5,2] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,1,5,2,3] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,2,1,5,3,2] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,2,2,1,3,5] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,2,1,5,3] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,2,3,1,5] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,2,3,5,1] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,2,5,1,3] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,2,2,5,3,1] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,2,3,1,2,5] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,3,1,5,2] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,3,2,1,5] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,3,2,5,1] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,3,5,1,2] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,2,3,5,2,1] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,2,5,1,2,3] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,2,5,1,3,2] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,2,5,2,1,3] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,2,5,2,3,1] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,2,5,3,1,2] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,2,5,3,2,1] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,3,1,2,2,5] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,1,2,5,2] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,1,5,2,2] => [1,3,2,5,4,6] => 10101 => [1,2,2,1]
[1,3,2,1,2,5] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,2,1,5,2] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,2,2,1,5] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,2,2,5,1] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,2,5,1,2] => [1,3,2,5,4,6] => 10101 => [1,2,2,1]
[1,3,2,5,2,1] => [1,3,2,5,4,6] => 10101 => [1,2,2,1]
[1,3,5,1,2,2] => [1,4,2,5,3,6] => 10001 => [1,4,1]
[1,3,5,2,1,2] => [1,4,2,5,3,6] => 10001 => [1,4,1]
[1,3,5,2,2,1] => [1,4,2,5,3,6] => 10001 => [1,4,1]
[1,5,1,2,2,3] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,1,2,3,2] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,1,3,2,2] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,2,1,2,3] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,2,1,3,2] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,2,2,1,3] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,2,2,3,1] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,2,3,1,2] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,2,3,2,1] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,3,1,2,2] => [1,4,3,5,2,6] => 10001 => [1,4,1]
[1,5,3,2,1,2] => [1,4,3,5,2,6] => 10001 => [1,4,1]
[1,5,3,2,2,1] => [1,4,3,5,2,6] => 10001 => [1,4,1]
[2,1,1,2,3,5] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,1,2,5,3] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,1,3,2,5] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,1,3,5,2] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,1,5,2,3] => [2,1,3,5,4,6] => 01101 => [2,1,2,1]
[2,1,1,5,3,2] => [2,1,3,5,4,6] => 01101 => [2,1,2,1]
[2,1,2,1,3,5] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,2,1,5,3] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,2,3,1,5] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,2,3,5,1] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,2,5,1,3] => [2,1,3,5,4,6] => 01101 => [2,1,2,1]
[2,1,2,5,3,1] => [2,1,3,5,4,6] => 01101 => [2,1,2,1]
[2,1,3,1,2,5] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,3,1,5,2] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,3,2,1,5] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,3,2,5,1] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,3,5,1,2] => [2,1,3,5,4,6] => 01101 => [2,1,2,1]
[2,1,3,5,2,1] => [2,1,3,5,4,6] => 01101 => [2,1,2,1]
[2,1,5,1,2,3] => [2,1,4,5,3,6] => 01001 => [2,3,1]
[2,1,5,1,3,2] => [2,1,4,5,3,6] => 01001 => [2,3,1]
[2,1,5,2,1,3] => [2,1,4,5,3,6] => 01001 => [2,3,1]
[2,1,5,2,3,1] => [2,1,4,5,3,6] => 01001 => [2,3,1]
[2,1,5,3,1,2] => [2,1,4,5,3,6] => 01001 => [2,3,1]
[2,1,5,3,2,1] => [2,1,4,5,3,6] => 01001 => [2,3,1]
[2,2,1,1,3,5] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,2,1,1,5,3] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,2,1,3,1,5] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,2,1,3,5,1] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,2,1,5,1,3] => [3,1,2,5,4,6] => 00101 => [3,2,1]
[2,2,1,5,3,1] => [3,1,2,5,4,6] => 00101 => [3,2,1]
[2,2,3,1,1,5] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,2,3,1,5,1] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,2,3,5,1,1] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,2,5,1,1,3] => [4,1,2,5,3,6] => 00001 => [5,1]
[2,2,5,1,3,1] => [4,1,2,5,3,6] => 00001 => [5,1]
[2,2,5,3,1,1] => [5,1,2,4,3,6] => 00001 => [5,1]
[2,3,1,1,2,5] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,3,1,1,5,2] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,3,1,2,1,5] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,3,1,2,5,1] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,3,1,5,1,2] => [3,1,2,5,4,6] => 00101 => [3,2,1]
[2,3,1,5,2,1] => [3,1,2,5,4,6] => 00101 => [3,2,1]
[2,3,2,1,1,5] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,3,2,1,5,1] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,3,2,5,1,1] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,3,5,1,1,2] => [4,1,2,5,3,6] => 00001 => [5,1]
[2,3,5,1,2,1] => [4,1,2,5,3,6] => 00001 => [5,1]
[2,3,5,2,1,1] => [5,1,2,4,3,6] => 00001 => [5,1]
[2,5,1,1,2,3] => [3,1,4,5,2,6] => 00001 => [5,1]
[2,5,1,1,3,2] => [3,1,4,5,2,6] => 00001 => [5,1]
[2,5,1,2,1,3] => [3,1,4,5,2,6] => 00001 => [5,1]
[2,5,1,2,3,1] => [3,1,4,5,2,6] => 00001 => [5,1]
[2,5,1,3,1,2] => [3,1,4,5,2,6] => 00001 => [5,1]
[2,5,1,3,2,1] => [3,1,4,5,2,6] => 00001 => [5,1]
[2,5,2,1,1,3] => [4,1,3,5,2,6] => 00001 => [5,1]
[2,5,2,1,3,1] => [4,1,3,5,2,6] => 00001 => [5,1]
[2,5,2,3,1,1] => [5,1,3,4,2,6] => 00001 => [5,1]
[2,5,3,1,1,2] => [4,1,3,5,2,6] => 00001 => [5,1]
[2,5,3,1,2,1] => [4,1,3,5,2,6] => 00001 => [5,1]
[2,5,3,2,1,1] => [5,1,3,4,2,6] => 00001 => [5,1]
[3,1,1,2,2,5] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,1,2,5,2] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,1,5,2,2] => [2,3,1,5,4,6] => 00101 => [3,2,1]
[3,1,2,1,2,5] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,2,1,5,2] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,2,2,1,5] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,2,2,5,1] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,2,5,1,2] => [2,3,1,5,4,6] => 00101 => [3,2,1]
[3,1,2,5,2,1] => [2,3,1,5,4,6] => 00101 => [3,2,1]
[3,1,5,1,2,2] => [2,4,1,5,3,6] => 00001 => [5,1]
[3,1,5,2,1,2] => [2,4,1,5,3,6] => 00001 => [5,1]
[3,1,5,2,2,1] => [2,4,1,5,3,6] => 00001 => [5,1]
[3,2,1,1,2,5] => [3,2,1,4,5,6] => 00111 => [3,1,1,1]
[3,2,1,1,5,2] => [3,2,1,4,5,6] => 00111 => [3,1,1,1]
[3,2,1,2,1,5] => [3,2,1,4,5,6] => 00111 => [3,1,1,1]
[3,2,1,2,5,1] => [3,2,1,4,5,6] => 00111 => [3,1,1,1]
[3,2,1,5,1,2] => [3,2,1,5,4,6] => 00101 => [3,2,1]
[3,2,1,5,2,1] => [3,2,1,5,4,6] => 00101 => [3,2,1]
[3,2,2,1,1,5] => [4,2,1,3,5,6] => 00011 => [4,1,1]
[3,2,2,1,5,1] => [4,2,1,3,5,6] => 00011 => [4,1,1]
[3,2,2,5,1,1] => [5,2,1,3,4,6] => 00001 => [5,1]
[3,2,5,1,1,2] => [4,2,1,5,3,6] => 00001 => [5,1]
[3,2,5,1,2,1] => [4,2,1,5,3,6] => 00001 => [5,1]
[3,2,5,2,1,1] => [5,2,1,4,3,6] => 00001 => [5,1]
[3,5,1,1,2,2] => [3,4,1,5,2,6] => 00001 => [5,1]
[3,5,1,2,1,2] => [3,4,1,5,2,6] => 00001 => [5,1]
[3,5,1,2,2,1] => [3,4,1,5,2,6] => 00001 => [5,1]
[3,5,2,1,1,2] => [4,3,1,5,2,6] => 00001 => [5,1]
[3,5,2,1,2,1] => [4,3,1,5,2,6] => 00001 => [5,1]
[3,5,2,2,1,1] => [5,3,1,4,2,6] => 00001 => [5,1]
[5,1,1,2,2,3] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,1,2,3,2] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,1,3,2,2] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,2,1,2,3] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,2,1,3,2] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,2,2,1,3] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,2,2,3,1] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,2,3,1,2] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,2,3,2,1] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,3,1,2,2] => [2,4,3,5,1,6] => 00001 => [5,1]
[5,1,3,2,1,2] => [2,4,3,5,1,6] => 00001 => [5,1]
[5,1,3,2,2,1] => [2,4,3,5,1,6] => 00001 => [5,1]
[5,2,1,1,2,3] => [3,2,4,5,1,6] => 00001 => [5,1]
[5,2,1,1,3,2] => [3,2,4,5,1,6] => 00001 => [5,1]
[5,2,1,2,1,3] => [3,2,4,5,1,6] => 00001 => [5,1]
[5,2,1,2,3,1] => [3,2,4,5,1,6] => 00001 => [5,1]
[5,2,1,3,1,2] => [3,2,4,5,1,6] => 00001 => [5,1]
[5,2,1,3,2,1] => [3,2,4,5,1,6] => 00001 => [5,1]
[5,2,2,1,1,3] => [4,2,3,5,1,6] => 00001 => [5,1]
[5,2,2,1,3,1] => [4,2,3,5,1,6] => 00001 => [5,1]
[5,2,2,3,1,1] => [5,2,3,4,1,6] => 00001 => [5,1]
[5,2,3,1,1,2] => [4,2,3,5,1,6] => 00001 => [5,1]
[5,2,3,1,2,1] => [4,2,3,5,1,6] => 00001 => [5,1]
[5,2,3,2,1,1] => [5,2,3,4,1,6] => 00001 => [5,1]
[5,3,1,1,2,2] => [3,4,2,5,1,6] => 00001 => [5,1]
[5,3,1,2,1,2] => [3,4,2,5,1,6] => 00001 => [5,1]
[5,3,1,2,2,1] => [3,4,2,5,1,6] => 00001 => [5,1]
[5,3,2,1,1,2] => [4,3,2,5,1,6] => 00001 => [5,1]
[5,3,2,1,2,1] => [4,3,2,5,1,6] => 00001 => [5,1]
[5,3,2,2,1,1] => [5,3,2,4,1,6] => 00001 => [5,1]
[1,1,2,2,3,6] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,2,2,6,3] => [1,2,3,4,6,5] => 11110 => [1,1,1,1,2]
[1,1,2,3,2,6] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,2,3,6,2] => [1,2,3,4,6,5] => 11110 => [1,1,1,1,2]
[1,1,2,6,2,3] => [1,2,3,5,6,4] => 11100 => [1,1,1,3]
[1,1,2,6,3,2] => [1,2,3,5,6,4] => 11100 => [1,1,1,3]
[1,1,3,2,2,6] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,3,2,6,2] => [1,2,3,4,6,5] => 11110 => [1,1,1,1,2]
[1,1,3,6,2,2] => [1,2,3,5,6,4] => 11100 => [1,1,1,3]
[1,1,6,2,2,3] => [1,2,4,5,6,3] => 11000 => [1,1,4]
[1,1,6,2,3,2] => [1,2,4,5,6,3] => 11000 => [1,1,4]
[1,1,6,3,2,2] => [1,2,4,5,6,3] => 11000 => [1,1,4]
[1,2,1,2,3,6] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,1,2,6,3] => [1,2,3,4,6,5] => 11110 => [1,1,1,1,2]
[1,2,1,3,2,6] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,1,3,6,2] => [1,2,3,4,6,5] => 11110 => [1,1,1,1,2]
[1,2,1,6,2,3] => [1,2,3,5,6,4] => 11100 => [1,1,1,3]
[1,2,1,6,3,2] => [1,2,3,5,6,4] => 11100 => [1,1,1,3]
[1,2,2,1,3,6] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,2,1,6,3] => [1,2,3,4,6,5] => 11110 => [1,1,1,1,2]
[1,2,2,3,1,6] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,2,3,6,1] => [1,2,3,4,6,5] => 11110 => [1,1,1,1,2]
[1,2,2,6,1,3] => [1,2,3,5,6,4] => 11100 => [1,1,1,3]
[1,2,2,6,3,1] => [1,2,3,5,6,4] => 11100 => [1,1,1,3]
[1,2,3,1,2,6] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,3,1,6,2] => [1,2,3,4,6,5] => 11110 => [1,1,1,1,2]
[1,2,3,2,1,6] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,3,2,6,1] => [1,2,3,4,6,5] => 11110 => [1,1,1,1,2]
[1,2,3,6,1,2] => [1,2,3,5,6,4] => 11100 => [1,1,1,3]
[1,2,3,6,2,1] => [1,2,3,5,6,4] => 11100 => [1,1,1,3]
[1,2,6,1,2,3] => [1,2,4,5,6,3] => 11000 => [1,1,4]
[1,2,6,1,3,2] => [1,2,4,5,6,3] => 11000 => [1,1,4]
[1,2,6,2,1,3] => [1,2,4,5,6,3] => 11000 => [1,1,4]
[1,2,6,2,3,1] => [1,2,4,5,6,3] => 11000 => [1,1,4]
[1,2,6,3,1,2] => [1,2,4,5,6,3] => 11000 => [1,1,4]
[1,2,6,3,2,1] => [1,2,4,5,6,3] => 11000 => [1,1,4]
[1,3,1,2,2,6] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,1,2,6,2] => [1,3,2,4,6,5] => 10110 => [1,2,1,2]
[1,3,1,6,2,2] => [1,3,2,5,6,4] => 10100 => [1,2,3]
[1,3,2,1,2,6] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,2,1,6,2] => [1,3,2,4,6,5] => 10110 => [1,2,1,2]
[1,3,2,2,1,6] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,2,2,6,1] => [1,3,2,4,6,5] => 10110 => [1,2,1,2]
[1,3,2,6,1,2] => [1,3,2,5,6,4] => 10100 => [1,2,3]
[1,3,2,6,2,1] => [1,3,2,5,6,4] => 10100 => [1,2,3]
[1,3,6,1,2,2] => [1,4,2,5,6,3] => 10000 => [1,5]
[1,3,6,2,1,2] => [1,4,2,5,6,3] => 10000 => [1,5]
[1,3,6,2,2,1] => [1,4,2,5,6,3] => 10000 => [1,5]
[1,6,1,2,2,3] => [1,3,4,5,6,2] => 10000 => [1,5]
[1,6,1,2,3,2] => [1,3,4,5,6,2] => 10000 => [1,5]
[1,6,1,3,2,2] => [1,3,4,5,6,2] => 10000 => [1,5]
[1,6,2,1,2,3] => [1,3,4,5,6,2] => 10000 => [1,5]
[1,6,2,1,3,2] => [1,3,4,5,6,2] => 10000 => [1,5]
[1,6,2,2,1,3] => [1,3,4,5,6,2] => 10000 => [1,5]
[1,6,2,2,3,1] => [1,3,4,5,6,2] => 10000 => [1,5]
[1,6,2,3,1,2] => [1,3,4,5,6,2] => 10000 => [1,5]
[1,6,2,3,2,1] => [1,3,4,5,6,2] => 10000 => [1,5]
[1,6,3,1,2,2] => [1,4,3,5,6,2] => 10000 => [1,5]
[1,6,3,2,1,2] => [1,4,3,5,6,2] => 10000 => [1,5]
[1,6,3,2,2,1] => [1,4,3,5,6,2] => 10000 => [1,5]
[2,1,1,2,3,6] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,1,2,6,3] => [2,1,3,4,6,5] => 01110 => [2,1,1,2]
[2,1,1,3,2,6] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,1,3,6,2] => [2,1,3,4,6,5] => 01110 => [2,1,1,2]
[2,1,1,6,2,3] => [2,1,3,5,6,4] => 01100 => [2,1,3]
[2,1,1,6,3,2] => [2,1,3,5,6,4] => 01100 => [2,1,3]
[2,1,2,1,3,6] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,2,1,6,3] => [2,1,3,4,6,5] => 01110 => [2,1,1,2]
[2,1,2,3,1,6] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,2,3,6,1] => [2,1,3,4,6,5] => 01110 => [2,1,1,2]
[2,1,2,6,1,3] => [2,1,3,5,6,4] => 01100 => [2,1,3]
[2,1,2,6,3,1] => [2,1,3,5,6,4] => 01100 => [2,1,3]
[2,1,3,1,2,6] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,3,1,6,2] => [2,1,3,4,6,5] => 01110 => [2,1,1,2]
[2,1,3,2,1,6] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,3,2,6,1] => [2,1,3,4,6,5] => 01110 => [2,1,1,2]
[2,1,3,6,1,2] => [2,1,3,5,6,4] => 01100 => [2,1,3]
[2,1,3,6,2,1] => [2,1,3,5,6,4] => 01100 => [2,1,3]
[2,1,6,1,2,3] => [2,1,4,5,6,3] => 01000 => [2,4]
[2,1,6,1,3,2] => [2,1,4,5,6,3] => 01000 => [2,4]
[2,1,6,2,1,3] => [2,1,4,5,6,3] => 01000 => [2,4]
[2,1,6,2,3,1] => [2,1,4,5,6,3] => 01000 => [2,4]
[2,1,6,3,1,2] => [2,1,4,5,6,3] => 01000 => [2,4]
[2,1,6,3,2,1] => [2,1,4,5,6,3] => 01000 => [2,4]
[2,2,1,1,3,6] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,2,1,1,6,3] => [3,1,2,4,6,5] => 00110 => [3,1,2]
[2,2,1,3,1,6] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,2,1,3,6,1] => [3,1,2,4,6,5] => 00110 => [3,1,2]
[2,2,1,6,1,3] => [3,1,2,5,6,4] => 00100 => [3,3]
[2,2,1,6,3,1] => [3,1,2,5,6,4] => 00100 => [3,3]
[2,2,3,1,1,6] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,2,3,1,6,1] => [4,1,2,3,6,5] => 00010 => [4,2]
[2,2,3,6,1,1] => [5,1,2,3,6,4] => 00000 => [6]
[2,2,6,1,1,3] => [4,1,2,5,6,3] => 00000 => [6]
[2,2,6,1,3,1] => [4,1,2,5,6,3] => 00000 => [6]
[2,2,6,3,1,1] => [5,1,2,4,6,3] => 00000 => [6]
[2,3,1,1,2,6] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,3,1,1,6,2] => [3,1,2,4,6,5] => 00110 => [3,1,2]
[2,3,1,2,1,6] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,3,1,2,6,1] => [3,1,2,4,6,5] => 00110 => [3,1,2]
[2,3,1,6,1,2] => [3,1,2,5,6,4] => 00100 => [3,3]
[2,3,1,6,2,1] => [3,1,2,5,6,4] => 00100 => [3,3]
[2,3,2,1,1,6] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,3,2,1,6,1] => [4,1,2,3,6,5] => 00010 => [4,2]
[2,3,2,6,1,1] => [5,1,2,3,6,4] => 00000 => [6]
[2,3,6,1,1,2] => [4,1,2,5,6,3] => 00000 => [6]
[2,3,6,1,2,1] => [4,1,2,5,6,3] => 00000 => [6]
[2,3,6,2,1,1] => [5,1,2,4,6,3] => 00000 => [6]
[2,6,1,1,2,3] => [3,1,4,5,6,2] => 00000 => [6]
[2,6,1,1,3,2] => [3,1,4,5,6,2] => 00000 => [6]
[2,6,1,2,1,3] => [3,1,4,5,6,2] => 00000 => [6]
[2,6,1,2,3,1] => [3,1,4,5,6,2] => 00000 => [6]
[2,6,1,3,1,2] => [3,1,4,5,6,2] => 00000 => [6]
[2,6,1,3,2,1] => [3,1,4,5,6,2] => 00000 => [6]
[2,6,2,1,1,3] => [4,1,3,5,6,2] => 00000 => [6]
[2,6,2,1,3,1] => [4,1,3,5,6,2] => 00000 => [6]
[2,6,2,3,1,1] => [5,1,3,4,6,2] => 00000 => [6]
[2,6,3,1,1,2] => [4,1,3,5,6,2] => 00000 => [6]
[2,6,3,1,2,1] => [4,1,3,5,6,2] => 00000 => [6]
[2,6,3,2,1,1] => [5,1,3,4,6,2] => 00000 => [6]
[3,1,1,2,2,6] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,1,2,6,2] => [2,3,1,4,6,5] => 00110 => [3,1,2]
[3,1,1,6,2,2] => [2,3,1,5,6,4] => 00100 => [3,3]
[3,1,2,1,2,6] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,2,1,6,2] => [2,3,1,4,6,5] => 00110 => [3,1,2]
[3,1,2,2,1,6] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,2,2,6,1] => [2,3,1,4,6,5] => 00110 => [3,1,2]
[3,1,2,6,1,2] => [2,3,1,5,6,4] => 00100 => [3,3]
[3,1,2,6,2,1] => [2,3,1,5,6,4] => 00100 => [3,3]
[3,1,6,1,2,2] => [2,4,1,5,6,3] => 00000 => [6]
[3,1,6,2,1,2] => [2,4,1,5,6,3] => 00000 => [6]
[3,1,6,2,2,1] => [2,4,1,5,6,3] => 00000 => [6]
[3,2,1,1,2,6] => [3,2,1,4,5,6] => 00111 => [3,1,1,1]
[3,2,1,1,6,2] => [3,2,1,4,6,5] => 00110 => [3,1,2]
[3,2,1,2,1,6] => [3,2,1,4,5,6] => 00111 => [3,1,1,1]
[3,2,1,2,6,1] => [3,2,1,4,6,5] => 00110 => [3,1,2]
[3,2,1,6,1,2] => [3,2,1,5,6,4] => 00100 => [3,3]
[3,2,1,6,2,1] => [3,2,1,5,6,4] => 00100 => [3,3]
[3,2,2,1,1,6] => [4,2,1,3,5,6] => 00011 => [4,1,1]
[3,2,2,1,6,1] => [4,2,1,3,6,5] => 00010 => [4,2]
[3,2,2,6,1,1] => [5,2,1,3,6,4] => 00000 => [6]
[3,2,6,1,1,2] => [4,2,1,5,6,3] => 00000 => [6]
[3,2,6,1,2,1] => [4,2,1,5,6,3] => 00000 => [6]
[3,2,6,2,1,1] => [5,2,1,4,6,3] => 00000 => [6]
[3,6,1,1,2,2] => [3,4,1,5,6,2] => 00000 => [6]
[3,6,1,2,1,2] => [3,4,1,5,6,2] => 00000 => [6]
[3,6,1,2,2,1] => [3,4,1,5,6,2] => 00000 => [6]
[3,6,2,1,1,2] => [4,3,1,5,6,2] => 00000 => [6]
[3,6,2,1,2,1] => [4,3,1,5,6,2] => 00000 => [6]
[3,6,2,2,1,1] => [5,3,1,4,6,2] => 00000 => [6]
[6,1,1,2,2,3] => [2,3,4,5,6,1] => 00000 => [6]
[6,1,1,2,3,2] => [2,3,4,5,6,1] => 00000 => [6]
[6,1,1,3,2,2] => [2,3,4,5,6,1] => 00000 => [6]
[6,1,2,1,2,3] => [2,3,4,5,6,1] => 00000 => [6]
[6,1,2,1,3,2] => [2,3,4,5,6,1] => 00000 => [6]
[6,1,2,2,1,3] => [2,3,4,5,6,1] => 00000 => [6]
[6,1,2,2,3,1] => [2,3,4,5,6,1] => 00000 => [6]
[6,1,2,3,1,2] => [2,3,4,5,6,1] => 00000 => [6]
[6,1,2,3,2,1] => [2,3,4,5,6,1] => 00000 => [6]
[6,1,3,1,2,2] => [2,4,3,5,6,1] => 00000 => [6]
[6,1,3,2,1,2] => [2,4,3,5,6,1] => 00000 => [6]
[6,1,3,2,2,1] => [2,4,3,5,6,1] => 00000 => [6]
[6,2,1,1,2,3] => [3,2,4,5,6,1] => 00000 => [6]
[6,2,1,1,3,2] => [3,2,4,5,6,1] => 00000 => [6]
[6,2,1,2,1,3] => [3,2,4,5,6,1] => 00000 => [6]
[6,2,1,2,3,1] => [3,2,4,5,6,1] => 00000 => [6]
[6,2,1,3,1,2] => [3,2,4,5,6,1] => 00000 => [6]
[6,2,1,3,2,1] => [3,2,4,5,6,1] => 00000 => [6]
[6,2,2,1,1,3] => [4,2,3,5,6,1] => 00000 => [6]
[6,2,2,1,3,1] => [4,2,3,5,6,1] => 00000 => [6]
[6,2,2,3,1,1] => [5,2,3,4,6,1] => 00000 => [6]
[6,2,3,1,1,2] => [4,2,3,5,6,1] => 00000 => [6]
[6,2,3,1,2,1] => [4,2,3,5,6,1] => 00000 => [6]
[6,2,3,2,1,1] => [5,2,3,4,6,1] => 00000 => [6]
[6,3,1,1,2,2] => [3,4,2,5,6,1] => 00000 => [6]
[6,3,1,2,1,2] => [3,4,2,5,6,1] => 00000 => [6]
[6,3,1,2,2,1] => [3,4,2,5,6,1] => 00000 => [6]
[6,3,2,1,1,2] => [4,3,2,5,6,1] => 00000 => [6]
[6,3,2,1,2,1] => [4,3,2,5,6,1] => 00000 => [6]
[6,3,2,2,1,1] => [5,3,2,4,6,1] => 00000 => [6]
[1,1,2,2,4,4] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,2,4,2,4] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,2,4,4,2] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,4,2,2,4] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,1,4,2,4,2] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,1,4,4,2,2] => [1,2,5,3,4,6] => 11001 => [1,1,3,1]
[1,2,1,2,4,4] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,1,4,2,4] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,1,4,4,2] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,2,1,4,4] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,2,4,1,4] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,2,4,4,1] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,4,1,2,4] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,2,4,1,4,2] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,2,4,2,1,4] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,2,4,2,4,1] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,2,4,4,1,2] => [1,2,5,3,4,6] => 11001 => [1,1,3,1]
[1,2,4,4,2,1] => [1,2,5,3,4,6] => 11001 => [1,1,3,1]
[1,4,1,2,2,4] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,1,2,4,2] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,1,4,2,2] => [1,3,5,2,4,6] => 10001 => [1,4,1]
[1,4,2,1,2,4] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,2,1,4,2] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,2,2,1,4] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,2,2,4,1] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,2,4,1,2] => [1,3,5,2,4,6] => 10001 => [1,4,1]
[1,4,2,4,2,1] => [1,3,5,2,4,6] => 10001 => [1,4,1]
[1,4,4,1,2,2] => [1,4,5,2,3,6] => 10001 => [1,4,1]
[1,4,4,2,1,2] => [1,4,5,2,3,6] => 10001 => [1,4,1]
[1,4,4,2,2,1] => [1,4,5,2,3,6] => 10001 => [1,4,1]
[2,1,1,2,4,4] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,1,4,2,4] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,1,4,4,2] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,2,1,4,4] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,2,4,1,4] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,2,4,4,1] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,4,1,2,4] => [2,1,4,3,5,6] => 01011 => [2,2,1,1]
[2,1,4,1,4,2] => [2,1,4,3,5,6] => 01011 => [2,2,1,1]
[2,1,4,2,1,4] => [2,1,4,3,5,6] => 01011 => [2,2,1,1]
[2,1,4,2,4,1] => [2,1,4,3,5,6] => 01011 => [2,2,1,1]
[2,1,4,4,1,2] => [2,1,5,3,4,6] => 01001 => [2,3,1]
[2,1,4,4,2,1] => [2,1,5,3,4,6] => 01001 => [2,3,1]
[2,2,1,1,4,4] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,2,1,4,1,4] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,2,1,4,4,1] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,2,4,1,1,4] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,2,4,1,4,1] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,2,4,4,1,1] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,4,1,1,2,4] => [3,1,4,2,5,6] => 00011 => [4,1,1]
[2,4,1,1,4,2] => [3,1,4,2,5,6] => 00011 => [4,1,1]
[2,4,1,2,1,4] => [3,1,4,2,5,6] => 00011 => [4,1,1]
[2,4,1,2,4,1] => [3,1,4,2,5,6] => 00011 => [4,1,1]
[2,4,1,4,1,2] => [3,1,5,2,4,6] => 00001 => [5,1]
[2,4,1,4,2,1] => [3,1,5,2,4,6] => 00001 => [5,1]
[2,4,2,1,1,4] => [4,1,3,2,5,6] => 00011 => [4,1,1]
[2,4,2,1,4,1] => [4,1,3,2,5,6] => 00011 => [4,1,1]
[2,4,2,4,1,1] => [5,1,3,2,4,6] => 00001 => [5,1]
[2,4,4,1,1,2] => [4,1,5,2,3,6] => 00001 => [5,1]
[2,4,4,1,2,1] => [4,1,5,2,3,6] => 00001 => [5,1]
[2,4,4,2,1,1] => [5,1,4,2,3,6] => 00001 => [5,1]
[4,1,1,2,2,4] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,1,2,4,2] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,1,4,2,2] => [2,3,5,1,4,6] => 00001 => [5,1]
[4,1,2,1,2,4] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,2,1,4,2] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,2,2,1,4] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,2,2,4,1] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,2,4,1,2] => [2,3,5,1,4,6] => 00001 => [5,1]
[4,1,2,4,2,1] => [2,3,5,1,4,6] => 00001 => [5,1]
[4,1,4,1,2,2] => [2,4,5,1,3,6] => 00001 => [5,1]
[4,1,4,2,1,2] => [2,4,5,1,3,6] => 00001 => [5,1]
[4,1,4,2,2,1] => [2,4,5,1,3,6] => 00001 => [5,1]
[4,2,1,1,2,4] => [3,2,4,1,5,6] => 00011 => [4,1,1]
[4,2,1,1,4,2] => [3,2,4,1,5,6] => 00011 => [4,1,1]
[4,2,1,2,1,4] => [3,2,4,1,5,6] => 00011 => [4,1,1]
[4,2,1,2,4,1] => [3,2,4,1,5,6] => 00011 => [4,1,1]
[4,2,1,4,1,2] => [3,2,5,1,4,6] => 00001 => [5,1]
[4,2,1,4,2,1] => [3,2,5,1,4,6] => 00001 => [5,1]
[4,2,2,1,1,4] => [4,2,3,1,5,6] => 00011 => [4,1,1]
[4,2,2,1,4,1] => [4,2,3,1,5,6] => 00011 => [4,1,1]
[4,2,2,4,1,1] => [5,2,3,1,4,6] => 00001 => [5,1]
[4,2,4,1,1,2] => [4,2,5,1,3,6] => 00001 => [5,1]
[4,2,4,1,2,1] => [4,2,5,1,3,6] => 00001 => [5,1]
[4,2,4,2,1,1] => [5,2,4,1,3,6] => 00001 => [5,1]
[4,4,1,1,2,2] => [3,4,5,1,2,6] => 00001 => [5,1]
[4,4,1,2,1,2] => [3,4,5,1,2,6] => 00001 => [5,1]
[4,4,1,2,2,1] => [3,4,5,1,2,6] => 00001 => [5,1]
[4,4,2,1,1,2] => [4,3,5,1,2,6] => 00001 => [5,1]
[4,4,2,1,2,1] => [4,3,5,1,2,6] => 00001 => [5,1]
[4,4,2,2,1,1] => [5,3,4,1,2,6] => 00001 => [5,1]
[1,1,2,2,4,5] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,2,2,5,4] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,2,4,2,5] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,2,4,5,2] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,2,5,2,4] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,1,2,5,4,2] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,1,4,2,2,5] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,1,4,2,5,2] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,1,4,5,2,2] => [1,2,5,3,4,6] => 11001 => [1,1,3,1]
[1,1,5,2,2,4] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,1,5,2,4,2] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,1,5,4,2,2] => [1,2,5,4,3,6] => 11001 => [1,1,3,1]
[1,2,1,2,4,5] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,1,2,5,4] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,1,4,2,5] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,1,4,5,2] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,1,5,2,4] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,2,1,5,4,2] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,2,2,1,4,5] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,2,1,5,4] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,2,4,1,5] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,2,4,5,1] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,2,5,1,4] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,2,2,5,4,1] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,2,4,1,2,5] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,2,4,1,5,2] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,2,4,2,1,5] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,2,4,2,5,1] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,2,4,5,1,2] => [1,2,5,3,4,6] => 11001 => [1,1,3,1]
[1,2,4,5,2,1] => [1,2,5,3,4,6] => 11001 => [1,1,3,1]
[1,2,5,1,2,4] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,2,5,1,4,2] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,2,5,2,1,4] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,2,5,2,4,1] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,2,5,4,1,2] => [1,2,5,4,3,6] => 11001 => [1,1,3,1]
[1,2,5,4,2,1] => [1,2,5,4,3,6] => 11001 => [1,1,3,1]
[1,4,1,2,2,5] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,1,2,5,2] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,1,5,2,2] => [1,3,5,2,4,6] => 10001 => [1,4,1]
[1,4,2,1,2,5] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,2,1,5,2] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,2,2,1,5] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,2,2,5,1] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,2,5,1,2] => [1,3,5,2,4,6] => 10001 => [1,4,1]
[1,4,2,5,2,1] => [1,3,5,2,4,6] => 10001 => [1,4,1]
[1,4,5,1,2,2] => [1,4,5,2,3,6] => 10001 => [1,4,1]
[1,4,5,2,1,2] => [1,4,5,2,3,6] => 10001 => [1,4,1]
[1,4,5,2,2,1] => [1,4,5,2,3,6] => 10001 => [1,4,1]
[1,5,1,2,2,4] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,1,2,4,2] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,1,4,2,2] => [1,3,5,4,2,6] => 10001 => [1,4,1]
[1,5,2,1,2,4] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,2,1,4,2] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,2,2,1,4] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,2,2,4,1] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,2,4,1,2] => [1,3,5,4,2,6] => 10001 => [1,4,1]
[1,5,2,4,2,1] => [1,3,5,4,2,6] => 10001 => [1,4,1]
[1,5,4,1,2,2] => [1,4,5,3,2,6] => 10001 => [1,4,1]
[1,5,4,2,1,2] => [1,4,5,3,2,6] => 10001 => [1,4,1]
[1,5,4,2,2,1] => [1,4,5,3,2,6] => 10001 => [1,4,1]
[2,1,1,2,4,5] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,1,2,5,4] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,1,4,2,5] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,1,4,5,2] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,1,5,2,4] => [2,1,3,5,4,6] => 01101 => [2,1,2,1]
[2,1,1,5,4,2] => [2,1,3,5,4,6] => 01101 => [2,1,2,1]
[2,1,2,1,4,5] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,2,1,5,4] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,2,4,1,5] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,2,4,5,1] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,2,5,1,4] => [2,1,3,5,4,6] => 01101 => [2,1,2,1]
[2,1,2,5,4,1] => [2,1,3,5,4,6] => 01101 => [2,1,2,1]
[2,1,4,1,2,5] => [2,1,4,3,5,6] => 01011 => [2,2,1,1]
[2,1,4,1,5,2] => [2,1,4,3,5,6] => 01011 => [2,2,1,1]
[2,1,4,2,1,5] => [2,1,4,3,5,6] => 01011 => [2,2,1,1]
[2,1,4,2,5,1] => [2,1,4,3,5,6] => 01011 => [2,2,1,1]
[2,1,4,5,1,2] => [2,1,5,3,4,6] => 01001 => [2,3,1]
[2,1,4,5,2,1] => [2,1,5,3,4,6] => 01001 => [2,3,1]
[2,1,5,1,2,4] => [2,1,4,5,3,6] => 01001 => [2,3,1]
[2,1,5,1,4,2] => [2,1,4,5,3,6] => 01001 => [2,3,1]
[2,1,5,2,1,4] => [2,1,4,5,3,6] => 01001 => [2,3,1]
[2,1,5,2,4,1] => [2,1,4,5,3,6] => 01001 => [2,3,1]
[2,1,5,4,1,2] => [2,1,5,4,3,6] => 01001 => [2,3,1]
[2,1,5,4,2,1] => [2,1,5,4,3,6] => 01001 => [2,3,1]
[2,2,1,1,4,5] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,2,1,1,5,4] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,2,1,4,1,5] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,2,1,4,5,1] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,2,1,5,1,4] => [3,1,2,5,4,6] => 00101 => [3,2,1]
[2,2,1,5,4,1] => [3,1,2,5,4,6] => 00101 => [3,2,1]
[2,2,4,1,1,5] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,2,4,1,5,1] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,2,4,5,1,1] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,2,5,1,1,4] => [4,1,2,5,3,6] => 00001 => [5,1]
[2,2,5,1,4,1] => [4,1,2,5,3,6] => 00001 => [5,1]
[2,2,5,4,1,1] => [5,1,2,4,3,6] => 00001 => [5,1]
[2,4,1,1,2,5] => [3,1,4,2,5,6] => 00011 => [4,1,1]
[2,4,1,1,5,2] => [3,1,4,2,5,6] => 00011 => [4,1,1]
[2,4,1,2,1,5] => [3,1,4,2,5,6] => 00011 => [4,1,1]
[2,4,1,2,5,1] => [3,1,4,2,5,6] => 00011 => [4,1,1]
[2,4,1,5,1,2] => [3,1,5,2,4,6] => 00001 => [5,1]
[2,4,1,5,2,1] => [3,1,5,2,4,6] => 00001 => [5,1]
[2,4,2,1,1,5] => [4,1,3,2,5,6] => 00011 => [4,1,1]
[2,4,2,1,5,1] => [4,1,3,2,5,6] => 00011 => [4,1,1]
[2,4,2,5,1,1] => [5,1,3,2,4,6] => 00001 => [5,1]
[2,4,5,1,1,2] => [4,1,5,2,3,6] => 00001 => [5,1]
[2,4,5,1,2,1] => [4,1,5,2,3,6] => 00001 => [5,1]
[2,4,5,2,1,1] => [5,1,4,2,3,6] => 00001 => [5,1]
[2,5,1,1,2,4] => [3,1,4,5,2,6] => 00001 => [5,1]
[2,5,1,1,4,2] => [3,1,4,5,2,6] => 00001 => [5,1]
[2,5,1,2,1,4] => [3,1,4,5,2,6] => 00001 => [5,1]
[2,5,1,2,4,1] => [3,1,4,5,2,6] => 00001 => [5,1]
[2,5,1,4,1,2] => [3,1,5,4,2,6] => 00001 => [5,1]
[2,5,1,4,2,1] => [3,1,5,4,2,6] => 00001 => [5,1]
[2,5,2,1,1,4] => [4,1,3,5,2,6] => 00001 => [5,1]
[2,5,2,1,4,1] => [4,1,3,5,2,6] => 00001 => [5,1]
[2,5,2,4,1,1] => [5,1,3,4,2,6] => 00001 => [5,1]
[2,5,4,1,1,2] => [4,1,5,3,2,6] => 00001 => [5,1]
[2,5,4,1,2,1] => [4,1,5,3,2,6] => 00001 => [5,1]
[2,5,4,2,1,1] => [5,1,4,3,2,6] => 00001 => [5,1]
[4,1,1,2,2,5] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,1,2,5,2] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,1,5,2,2] => [2,3,5,1,4,6] => 00001 => [5,1]
[4,1,2,1,2,5] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,2,1,5,2] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,2,2,1,5] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,2,2,5,1] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,2,5,1,2] => [2,3,5,1,4,6] => 00001 => [5,1]
[4,1,2,5,2,1] => [2,3,5,1,4,6] => 00001 => [5,1]
[4,1,5,1,2,2] => [2,4,5,1,3,6] => 00001 => [5,1]
[4,1,5,2,1,2] => [2,4,5,1,3,6] => 00001 => [5,1]
[4,1,5,2,2,1] => [2,4,5,1,3,6] => 00001 => [5,1]
[4,2,1,1,2,5] => [3,2,4,1,5,6] => 00011 => [4,1,1]
[4,2,1,1,5,2] => [3,2,4,1,5,6] => 00011 => [4,1,1]
[4,2,1,2,1,5] => [3,2,4,1,5,6] => 00011 => [4,1,1]
[4,2,1,2,5,1] => [3,2,4,1,5,6] => 00011 => [4,1,1]
[4,2,1,5,1,2] => [3,2,5,1,4,6] => 00001 => [5,1]
[4,2,1,5,2,1] => [3,2,5,1,4,6] => 00001 => [5,1]
[4,2,2,1,1,5] => [4,2,3,1,5,6] => 00011 => [4,1,1]
[4,2,2,1,5,1] => [4,2,3,1,5,6] => 00011 => [4,1,1]
[4,2,2,5,1,1] => [5,2,3,1,4,6] => 00001 => [5,1]
[4,2,5,1,1,2] => [4,2,5,1,3,6] => 00001 => [5,1]
[4,2,5,1,2,1] => [4,2,5,1,3,6] => 00001 => [5,1]
[4,2,5,2,1,1] => [5,2,4,1,3,6] => 00001 => [5,1]
[4,5,1,1,2,2] => [3,4,5,1,2,6] => 00001 => [5,1]
[4,5,1,2,1,2] => [3,4,5,1,2,6] => 00001 => [5,1]
[4,5,1,2,2,1] => [3,4,5,1,2,6] => 00001 => [5,1]
[4,5,2,1,1,2] => [4,3,5,1,2,6] => 00001 => [5,1]
[4,5,2,1,2,1] => [4,3,5,1,2,6] => 00001 => [5,1]
[4,5,2,2,1,1] => [5,3,4,1,2,6] => 00001 => [5,1]
[5,1,1,2,2,4] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,1,2,4,2] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,1,4,2,2] => [2,3,5,4,1,6] => 00001 => [5,1]
[5,1,2,1,2,4] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,2,1,4,2] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,2,2,1,4] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,2,2,4,1] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,2,4,1,2] => [2,3,5,4,1,6] => 00001 => [5,1]
[5,1,2,4,2,1] => [2,3,5,4,1,6] => 00001 => [5,1]
[5,1,4,1,2,2] => [2,4,5,3,1,6] => 00001 => [5,1]
[5,1,4,2,1,2] => [2,4,5,3,1,6] => 00001 => [5,1]
[5,1,4,2,2,1] => [2,4,5,3,1,6] => 00001 => [5,1]
[5,2,1,1,2,4] => [3,2,4,5,1,6] => 00001 => [5,1]
[5,2,1,1,4,2] => [3,2,4,5,1,6] => 00001 => [5,1]
[5,2,1,2,1,4] => [3,2,4,5,1,6] => 00001 => [5,1]
[5,2,1,2,4,1] => [3,2,4,5,1,6] => 00001 => [5,1]
[5,2,1,4,1,2] => [3,2,5,4,1,6] => 00001 => [5,1]
[5,2,1,4,2,1] => [3,2,5,4,1,6] => 00001 => [5,1]
[5,2,2,1,1,4] => [4,2,3,5,1,6] => 00001 => [5,1]
[5,2,2,1,4,1] => [4,2,3,5,1,6] => 00001 => [5,1]
[5,2,2,4,1,1] => [5,2,3,4,1,6] => 00001 => [5,1]
[5,2,4,1,1,2] => [4,2,5,3,1,6] => 00001 => [5,1]
[5,2,4,1,2,1] => [4,2,5,3,1,6] => 00001 => [5,1]
[5,2,4,2,1,1] => [5,2,4,3,1,6] => 00001 => [5,1]
[5,4,1,1,2,2] => [3,4,5,2,1,6] => 00001 => [5,1]
[5,4,1,2,1,2] => [3,4,5,2,1,6] => 00001 => [5,1]
[5,4,1,2,2,1] => [3,4,5,2,1,6] => 00001 => [5,1]
[5,4,2,1,1,2] => [4,3,5,2,1,6] => 00001 => [5,1]
[5,4,2,1,2,1] => [4,3,5,2,1,6] => 00001 => [5,1]
[5,4,2,2,1,1] => [5,3,4,2,1,6] => 00001 => [5,1]
[1,1,2,2,4,6] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,2,2,6,4] => [1,2,3,4,6,5] => 11110 => [1,1,1,1,2]
[1,1,2,4,2,6] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,2,4,6,2] => [1,2,3,4,6,5] => 11110 => [1,1,1,1,2]
[1,1,2,6,2,4] => [1,2,3,5,6,4] => 11100 => [1,1,1,3]
[1,1,2,6,4,2] => [1,2,3,5,6,4] => 11100 => [1,1,1,3]
[1,1,4,2,2,6] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,1,4,2,6,2] => [1,2,4,3,6,5] => 11010 => [1,1,2,2]
[1,1,4,6,2,2] => [1,2,5,3,6,4] => 11000 => [1,1,4]
[1,1,6,2,2,4] => [1,2,4,5,6,3] => 11000 => [1,1,4]
[1,1,6,2,4,2] => [1,2,4,5,6,3] => 11000 => [1,1,4]
[1,1,6,4,2,2] => [1,2,5,4,6,3] => 11000 => [1,1,4]
[1,2,1,2,4,6] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,1,2,6,4] => [1,2,3,4,6,5] => 11110 => [1,1,1,1,2]
[1,2,1,4,2,6] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,1,4,6,2] => [1,2,3,4,6,5] => 11110 => [1,1,1,1,2]
[1,2,1,6,2,4] => [1,2,3,5,6,4] => 11100 => [1,1,1,3]
[1,2,1,6,4,2] => [1,2,3,5,6,4] => 11100 => [1,1,1,3]
[1,2,2,1,4,6] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,2,1,6,4] => [1,2,3,4,6,5] => 11110 => [1,1,1,1,2]
[1,2,2,4,1,6] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,2,4,6,1] => [1,2,3,4,6,5] => 11110 => [1,1,1,1,2]
[1,2,2,6,1,4] => [1,2,3,5,6,4] => 11100 => [1,1,1,3]
[1,2,2,6,4,1] => [1,2,3,5,6,4] => 11100 => [1,1,1,3]
[1,2,4,1,2,6] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,2,4,1,6,2] => [1,2,4,3,6,5] => 11010 => [1,1,2,2]
[1,2,4,2,1,6] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,2,4,2,6,1] => [1,2,4,3,6,5] => 11010 => [1,1,2,2]
[1,2,4,6,1,2] => [1,2,5,3,6,4] => 11000 => [1,1,4]
[1,2,4,6,2,1] => [1,2,5,3,6,4] => 11000 => [1,1,4]
[1,2,6,1,2,4] => [1,2,4,5,6,3] => 11000 => [1,1,4]
[1,2,6,1,4,2] => [1,2,4,5,6,3] => 11000 => [1,1,4]
[1,2,6,2,1,4] => [1,2,4,5,6,3] => 11000 => [1,1,4]
[1,2,6,2,4,1] => [1,2,4,5,6,3] => 11000 => [1,1,4]
[1,2,6,4,1,2] => [1,2,5,4,6,3] => 11000 => [1,1,4]
[1,2,6,4,2,1] => [1,2,5,4,6,3] => 11000 => [1,1,4]
[1,4,1,2,2,6] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,1,2,6,2] => [1,3,4,2,6,5] => 10010 => [1,3,2]
[1,4,1,6,2,2] => [1,3,5,2,6,4] => 10000 => [1,5]
[1,4,2,1,2,6] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,2,1,6,2] => [1,3,4,2,6,5] => 10010 => [1,3,2]
[1,4,2,2,1,6] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,2,2,6,1] => [1,3,4,2,6,5] => 10010 => [1,3,2]
[1,4,2,6,1,2] => [1,3,5,2,6,4] => 10000 => [1,5]
[1,4,2,6,2,1] => [1,3,5,2,6,4] => 10000 => [1,5]
[1,4,6,1,2,2] => [1,4,5,2,6,3] => 10000 => [1,5]
[1,4,6,2,1,2] => [1,4,5,2,6,3] => 10000 => [1,5]
[1,4,6,2,2,1] => [1,4,5,2,6,3] => 10000 => [1,5]
[1,6,1,2,2,4] => [1,3,4,5,6,2] => 10000 => [1,5]
[1,6,1,2,4,2] => [1,3,4,5,6,2] => 10000 => [1,5]
[1,6,1,4,2,2] => [1,3,5,4,6,2] => 10000 => [1,5]
[1,6,2,1,2,4] => [1,3,4,5,6,2] => 10000 => [1,5]
[1,6,2,1,4,2] => [1,3,4,5,6,2] => 10000 => [1,5]
[1,6,2,2,1,4] => [1,3,4,5,6,2] => 10000 => [1,5]
[1,6,2,2,4,1] => [1,3,4,5,6,2] => 10000 => [1,5]
[1,6,2,4,1,2] => [1,3,5,4,6,2] => 10000 => [1,5]
[1,6,2,4,2,1] => [1,3,5,4,6,2] => 10000 => [1,5]
[1,6,4,1,2,2] => [1,4,5,3,6,2] => 10000 => [1,5]
[1,6,4,2,1,2] => [1,4,5,3,6,2] => 10000 => [1,5]
[1,6,4,2,2,1] => [1,4,5,3,6,2] => 10000 => [1,5]
[2,1,1,2,4,6] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,1,2,6,4] => [2,1,3,4,6,5] => 01110 => [2,1,1,2]
[2,1,1,4,2,6] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,1,4,6,2] => [2,1,3,4,6,5] => 01110 => [2,1,1,2]
[2,1,1,6,2,4] => [2,1,3,5,6,4] => 01100 => [2,1,3]
[2,1,1,6,4,2] => [2,1,3,5,6,4] => 01100 => [2,1,3]
[2,1,2,1,4,6] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,2,1,6,4] => [2,1,3,4,6,5] => 01110 => [2,1,1,2]
[2,1,2,4,1,6] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,2,4,6,1] => [2,1,3,4,6,5] => 01110 => [2,1,1,2]
[2,1,2,6,1,4] => [2,1,3,5,6,4] => 01100 => [2,1,3]
[2,1,2,6,4,1] => [2,1,3,5,6,4] => 01100 => [2,1,3]
[2,1,4,1,2,6] => [2,1,4,3,5,6] => 01011 => [2,2,1,1]
[2,1,4,1,6,2] => [2,1,4,3,6,5] => 01010 => [2,2,2]
[2,1,4,2,1,6] => [2,1,4,3,5,6] => 01011 => [2,2,1,1]
[2,1,4,2,6,1] => [2,1,4,3,6,5] => 01010 => [2,2,2]
[2,1,4,6,1,2] => [2,1,5,3,6,4] => 01000 => [2,4]
[2,1,4,6,2,1] => [2,1,5,3,6,4] => 01000 => [2,4]
[2,1,6,1,2,4] => [2,1,4,5,6,3] => 01000 => [2,4]
[2,1,6,1,4,2] => [2,1,4,5,6,3] => 01000 => [2,4]
[2,1,6,2,1,4] => [2,1,4,5,6,3] => 01000 => [2,4]
[2,1,6,2,4,1] => [2,1,4,5,6,3] => 01000 => [2,4]
[2,1,6,4,1,2] => [2,1,5,4,6,3] => 01000 => [2,4]
[2,1,6,4,2,1] => [2,1,5,4,6,3] => 01000 => [2,4]
[2,2,1,1,4,6] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,2,1,1,6,4] => [3,1,2,4,6,5] => 00110 => [3,1,2]
[2,2,1,4,1,6] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,2,1,4,6,1] => [3,1,2,4,6,5] => 00110 => [3,1,2]
[2,2,1,6,1,4] => [3,1,2,5,6,4] => 00100 => [3,3]
[2,2,1,6,4,1] => [3,1,2,5,6,4] => 00100 => [3,3]
[2,2,4,1,1,6] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,2,4,1,6,1] => [4,1,2,3,6,5] => 00010 => [4,2]
[2,2,4,6,1,1] => [5,1,2,3,6,4] => 00000 => [6]
[2,2,6,1,1,4] => [4,1,2,5,6,3] => 00000 => [6]
[2,2,6,1,4,1] => [4,1,2,5,6,3] => 00000 => [6]
[2,2,6,4,1,1] => [5,1,2,4,6,3] => 00000 => [6]
[2,4,1,1,2,6] => [3,1,4,2,5,6] => 00011 => [4,1,1]
[2,4,1,1,6,2] => [3,1,4,2,6,5] => 00010 => [4,2]
[2,4,1,2,1,6] => [3,1,4,2,5,6] => 00011 => [4,1,1]
[2,4,1,2,6,1] => [3,1,4,2,6,5] => 00010 => [4,2]
[2,4,1,6,1,2] => [3,1,5,2,6,4] => 00000 => [6]
[2,4,1,6,2,1] => [3,1,5,2,6,4] => 00000 => [6]
[2,4,2,1,1,6] => [4,1,3,2,5,6] => 00011 => [4,1,1]
[2,4,2,1,6,1] => [4,1,3,2,6,5] => 00010 => [4,2]
[2,4,2,6,1,1] => [5,1,3,2,6,4] => 00000 => [6]
[2,4,6,1,1,2] => [4,1,5,2,6,3] => 00000 => [6]
[2,4,6,1,2,1] => [4,1,5,2,6,3] => 00000 => [6]
[2,4,6,2,1,1] => [5,1,4,2,6,3] => 00000 => [6]
[2,6,1,1,2,4] => [3,1,4,5,6,2] => 00000 => [6]
[2,6,1,1,4,2] => [3,1,4,5,6,2] => 00000 => [6]
[2,6,1,2,1,4] => [3,1,4,5,6,2] => 00000 => [6]
[2,6,1,2,4,1] => [3,1,4,5,6,2] => 00000 => [6]
[2,6,1,4,1,2] => [3,1,5,4,6,2] => 00000 => [6]
[2,6,1,4,2,1] => [3,1,5,4,6,2] => 00000 => [6]
[2,6,2,1,1,4] => [4,1,3,5,6,2] => 00000 => [6]
[2,6,2,1,4,1] => [4,1,3,5,6,2] => 00000 => [6]
[2,6,2,4,1,1] => [5,1,3,4,6,2] => 00000 => [6]
[2,6,4,1,1,2] => [4,1,5,3,6,2] => 00000 => [6]
[2,6,4,1,2,1] => [4,1,5,3,6,2] => 00000 => [6]
[2,6,4,2,1,1] => [5,1,4,3,6,2] => 00000 => [6]
[4,1,1,2,2,6] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,1,2,6,2] => [2,3,4,1,6,5] => 00010 => [4,2]
[4,1,1,6,2,2] => [2,3,5,1,6,4] => 00000 => [6]
[4,1,2,1,2,6] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,2,1,6,2] => [2,3,4,1,6,5] => 00010 => [4,2]
[4,1,2,2,1,6] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,2,2,6,1] => [2,3,4,1,6,5] => 00010 => [4,2]
[4,1,2,6,1,2] => [2,3,5,1,6,4] => 00000 => [6]
[4,1,2,6,2,1] => [2,3,5,1,6,4] => 00000 => [6]
[4,1,6,1,2,2] => [2,4,5,1,6,3] => 00000 => [6]
[4,1,6,2,1,2] => [2,4,5,1,6,3] => 00000 => [6]
[4,1,6,2,2,1] => [2,4,5,1,6,3] => 00000 => [6]
[4,2,1,1,2,6] => [3,2,4,1,5,6] => 00011 => [4,1,1]
[4,2,1,1,6,2] => [3,2,4,1,6,5] => 00010 => [4,2]
[4,2,1,2,1,6] => [3,2,4,1,5,6] => 00011 => [4,1,1]
[4,2,1,2,6,1] => [3,2,4,1,6,5] => 00010 => [4,2]
[4,2,1,6,1,2] => [3,2,5,1,6,4] => 00000 => [6]
[4,2,1,6,2,1] => [3,2,5,1,6,4] => 00000 => [6]
[4,2,2,1,1,6] => [4,2,3,1,5,6] => 00011 => [4,1,1]
[4,2,2,1,6,1] => [4,2,3,1,6,5] => 00010 => [4,2]
[4,2,2,6,1,1] => [5,2,3,1,6,4] => 00000 => [6]
[4,2,6,1,1,2] => [4,2,5,1,6,3] => 00000 => [6]
[4,2,6,1,2,1] => [4,2,5,1,6,3] => 00000 => [6]
[4,2,6,2,1,1] => [5,2,4,1,6,3] => 00000 => [6]
[4,6,1,1,2,2] => [3,4,5,1,6,2] => 00000 => [6]
[4,6,1,2,1,2] => [3,4,5,1,6,2] => 00000 => [6]
[4,6,1,2,2,1] => [3,4,5,1,6,2] => 00000 => [6]
[4,6,2,1,1,2] => [4,3,5,1,6,2] => 00000 => [6]
[4,6,2,1,2,1] => [4,3,5,1,6,2] => 00000 => [6]
[4,6,2,2,1,1] => [5,3,4,1,6,2] => 00000 => [6]
[6,1,1,2,2,4] => [2,3,4,5,6,1] => 00000 => [6]
[6,1,1,2,4,2] => [2,3,4,5,6,1] => 00000 => [6]
[6,1,1,4,2,2] => [2,3,5,4,6,1] => 00000 => [6]
[6,1,2,1,2,4] => [2,3,4,5,6,1] => 00000 => [6]
[6,1,2,1,4,2] => [2,3,4,5,6,1] => 00000 => [6]
[6,1,2,2,1,4] => [2,3,4,5,6,1] => 00000 => [6]
[6,1,2,2,4,1] => [2,3,4,5,6,1] => 00000 => [6]
[6,1,2,4,1,2] => [2,3,5,4,6,1] => 00000 => [6]
[6,1,2,4,2,1] => [2,3,5,4,6,1] => 00000 => [6]
[6,1,4,1,2,2] => [2,4,5,3,6,1] => 00000 => [6]
[6,1,4,2,1,2] => [2,4,5,3,6,1] => 00000 => [6]
[6,1,4,2,2,1] => [2,4,5,3,6,1] => 00000 => [6]
[6,2,1,1,2,4] => [3,2,4,5,6,1] => 00000 => [6]
[6,2,1,1,4,2] => [3,2,4,5,6,1] => 00000 => [6]
[6,2,1,2,1,4] => [3,2,4,5,6,1] => 00000 => [6]
[6,2,1,2,4,1] => [3,2,4,5,6,1] => 00000 => [6]
[6,2,1,4,1,2] => [3,2,5,4,6,1] => 00000 => [6]
[6,2,1,4,2,1] => [3,2,5,4,6,1] => 00000 => [6]
[6,2,2,1,1,4] => [4,2,3,5,6,1] => 00000 => [6]
[6,2,2,1,4,1] => [4,2,3,5,6,1] => 00000 => [6]
[6,2,2,4,1,1] => [5,2,3,4,6,1] => 00000 => [6]
[6,2,4,1,1,2] => [4,2,5,3,6,1] => 00000 => [6]
[6,2,4,1,2,1] => [4,2,5,3,6,1] => 00000 => [6]
[6,2,4,2,1,1] => [5,2,4,3,6,1] => 00000 => [6]
[6,4,1,1,2,2] => [3,4,5,2,6,1] => 00000 => [6]
[6,4,1,2,1,2] => [3,4,5,2,6,1] => 00000 => [6]
[6,4,1,2,2,1] => [3,4,5,2,6,1] => 00000 => [6]
[6,4,2,1,1,2] => [4,3,5,2,6,1] => 00000 => [6]
[6,4,2,1,2,1] => [4,3,5,2,6,1] => 00000 => [6]
[6,4,2,2,1,1] => [5,3,4,2,6,1] => 00000 => [6]
[1,1,2,2,5,5] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,2,5,2,5] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,1,2,5,5,2] => [1,2,3,6,4,5] => 11100 => [1,1,1,3]
[1,1,5,2,2,5] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,1,5,2,5,2] => [1,2,4,6,3,5] => 11000 => [1,1,4]
[1,1,5,5,2,2] => [1,2,5,6,3,4] => 11000 => [1,1,4]
[1,2,1,2,5,5] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,1,5,2,5] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,2,1,5,5,2] => [1,2,3,6,4,5] => 11100 => [1,1,1,3]
[1,2,2,1,5,5] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,2,5,1,5] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,2,2,5,5,1] => [1,2,3,6,4,5] => 11100 => [1,1,1,3]
[1,2,5,1,2,5] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,2,5,1,5,2] => [1,2,4,6,3,5] => 11000 => [1,1,4]
[1,2,5,2,1,5] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,2,5,2,5,1] => [1,2,4,6,3,5] => 11000 => [1,1,4]
[1,2,5,5,1,2] => [1,2,5,6,3,4] => 11000 => [1,1,4]
[1,2,5,5,2,1] => [1,2,5,6,3,4] => 11000 => [1,1,4]
[1,5,1,2,2,5] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,1,2,5,2] => [1,3,4,6,2,5] => 10000 => [1,5]
[1,5,1,5,2,2] => [1,3,5,6,2,4] => 10000 => [1,5]
[1,5,2,1,2,5] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,2,1,5,2] => [1,3,4,6,2,5] => 10000 => [1,5]
[1,5,2,2,1,5] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,2,2,5,1] => [1,3,4,6,2,5] => 10000 => [1,5]
[1,5,2,5,1,2] => [1,3,5,6,2,4] => 10000 => [1,5]
[1,5,2,5,2,1] => [1,3,5,6,2,4] => 10000 => [1,5]
[1,5,5,1,2,2] => [1,4,5,6,2,3] => 10000 => [1,5]
[1,5,5,2,1,2] => [1,4,5,6,2,3] => 10000 => [1,5]
[1,5,5,2,2,1] => [1,4,5,6,2,3] => 10000 => [1,5]
[2,1,1,2,5,5] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,1,5,2,5] => [2,1,3,5,4,6] => 01101 => [2,1,2,1]
[2,1,1,5,5,2] => [2,1,3,6,4,5] => 01100 => [2,1,3]
[2,1,2,1,5,5] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,2,5,1,5] => [2,1,3,5,4,6] => 01101 => [2,1,2,1]
[2,1,2,5,5,1] => [2,1,3,6,4,5] => 01100 => [2,1,3]
[2,1,5,1,2,5] => [2,1,4,5,3,6] => 01001 => [2,3,1]
[2,1,5,1,5,2] => [2,1,4,6,3,5] => 01000 => [2,4]
[2,1,5,2,1,5] => [2,1,4,5,3,6] => 01001 => [2,3,1]
[2,1,5,2,5,1] => [2,1,4,6,3,5] => 01000 => [2,4]
[2,1,5,5,1,2] => [2,1,5,6,3,4] => 01000 => [2,4]
[2,1,5,5,2,1] => [2,1,5,6,3,4] => 01000 => [2,4]
[2,2,1,1,5,5] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,2,1,5,1,5] => [3,1,2,5,4,6] => 00101 => [3,2,1]
[2,2,1,5,5,1] => [3,1,2,6,4,5] => 00100 => [3,3]
[2,2,5,1,1,5] => [4,1,2,5,3,6] => 00001 => [5,1]
[2,2,5,1,5,1] => [4,1,2,6,3,5] => 00000 => [6]
[2,2,5,5,1,1] => [5,1,2,6,3,4] => 00000 => [6]
[2,5,1,1,2,5] => [3,1,4,5,2,6] => 00001 => [5,1]
[2,5,1,1,5,2] => [3,1,4,6,2,5] => 00000 => [6]
[2,5,1,2,1,5] => [3,1,4,5,2,6] => 00001 => [5,1]
[2,5,1,2,5,1] => [3,1,4,6,2,5] => 00000 => [6]
[2,5,1,5,1,2] => [3,1,5,6,2,4] => 00000 => [6]
[2,5,1,5,2,1] => [3,1,5,6,2,4] => 00000 => [6]
[2,5,2,1,1,5] => [4,1,3,5,2,6] => 00001 => [5,1]
[2,5,2,1,5,1] => [4,1,3,6,2,5] => 00000 => [6]
[2,5,2,5,1,1] => [5,1,3,6,2,4] => 00000 => [6]
[2,5,5,1,1,2] => [4,1,5,6,2,3] => 00000 => [6]
[2,5,5,1,2,1] => [4,1,5,6,2,3] => 00000 => [6]
[2,5,5,2,1,1] => [5,1,4,6,2,3] => 00000 => [6]
[5,1,1,2,2,5] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,1,2,5,2] => [2,3,4,6,1,5] => 00000 => [6]
[5,1,1,5,2,2] => [2,3,5,6,1,4] => 00000 => [6]
[5,1,2,1,2,5] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,2,1,5,2] => [2,3,4,6,1,5] => 00000 => [6]
[5,1,2,2,1,5] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,2,2,5,1] => [2,3,4,6,1,5] => 00000 => [6]
[5,1,2,5,1,2] => [2,3,5,6,1,4] => 00000 => [6]
[5,1,2,5,2,1] => [2,3,5,6,1,4] => 00000 => [6]
[5,1,5,1,2,2] => [2,4,5,6,1,3] => 00000 => [6]
[5,1,5,2,1,2] => [2,4,5,6,1,3] => 00000 => [6]
[5,1,5,2,2,1] => [2,4,5,6,1,3] => 00000 => [6]
[5,2,1,1,2,5] => [3,2,4,5,1,6] => 00001 => [5,1]
[5,2,1,1,5,2] => [3,2,4,6,1,5] => 00000 => [6]
[5,2,1,2,1,5] => [3,2,4,5,1,6] => 00001 => [5,1]
[5,2,1,2,5,1] => [3,2,4,6,1,5] => 00000 => [6]
[5,2,1,5,1,2] => [3,2,5,6,1,4] => 00000 => [6]
[5,2,1,5,2,1] => [3,2,5,6,1,4] => 00000 => [6]
[5,2,2,1,1,5] => [4,2,3,5,1,6] => 00001 => [5,1]
[5,2,2,1,5,1] => [4,2,3,6,1,5] => 00000 => [6]
[5,2,2,5,1,1] => [5,2,3,6,1,4] => 00000 => [6]
[5,2,5,1,1,2] => [4,2,5,6,1,3] => 00000 => [6]
[5,2,5,1,2,1] => [4,2,5,6,1,3] => 00000 => [6]
[5,2,5,2,1,1] => [5,2,4,6,1,3] => 00000 => [6]
[5,5,1,1,2,2] => [3,4,5,6,1,2] => 00000 => [6]
[5,5,1,2,1,2] => [3,4,5,6,1,2] => 00000 => [6]
[5,5,1,2,2,1] => [3,4,5,6,1,2] => 00000 => [6]
[5,5,2,1,1,2] => [4,3,5,6,1,2] => 00000 => [6]
[5,5,2,1,2,1] => [4,3,5,6,1,2] => 00000 => [6]
[5,5,2,2,1,1] => [5,3,4,6,1,2] => 00000 => [6]
[1,1,2,2,5,6] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,2,2,6,5] => [1,2,3,4,6,5] => 11110 => [1,1,1,1,2]
[1,1,2,5,2,6] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,1,2,5,6,2] => [1,2,3,6,4,5] => 11100 => [1,1,1,3]
[1,1,2,6,2,5] => [1,2,3,5,6,4] => 11100 => [1,1,1,3]
[1,1,2,6,5,2] => [1,2,3,6,5,4] => 11100 => [1,1,1,3]
[1,1,5,2,2,6] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,1,5,2,6,2] => [1,2,4,6,3,5] => 11000 => [1,1,4]
[1,1,5,6,2,2] => [1,2,5,6,3,4] => 11000 => [1,1,4]
[1,1,6,2,2,5] => [1,2,4,5,6,3] => 11000 => [1,1,4]
[1,1,6,2,5,2] => [1,2,4,6,5,3] => 11000 => [1,1,4]
[1,1,6,5,2,2] => [1,2,5,6,4,3] => 11000 => [1,1,4]
[1,2,1,2,5,6] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,1,2,6,5] => [1,2,3,4,6,5] => 11110 => [1,1,1,1,2]
[1,2,1,5,2,6] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,2,1,5,6,2] => [1,2,3,6,4,5] => 11100 => [1,1,1,3]
[1,2,1,6,2,5] => [1,2,3,5,6,4] => 11100 => [1,1,1,3]
[1,2,1,6,5,2] => [1,2,3,6,5,4] => 11100 => [1,1,1,3]
[1,2,2,1,5,6] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,2,1,6,5] => [1,2,3,4,6,5] => 11110 => [1,1,1,1,2]
[1,2,2,5,1,6] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,2,2,5,6,1] => [1,2,3,6,4,5] => 11100 => [1,1,1,3]
[1,2,2,6,1,5] => [1,2,3,5,6,4] => 11100 => [1,1,1,3]
[1,2,2,6,5,1] => [1,2,3,6,5,4] => 11100 => [1,1,1,3]
[1,2,5,1,2,6] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,2,5,1,6,2] => [1,2,4,6,3,5] => 11000 => [1,1,4]
[1,2,5,2,1,6] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,2,5,2,6,1] => [1,2,4,6,3,5] => 11000 => [1,1,4]
[1,2,5,6,1,2] => [1,2,5,6,3,4] => 11000 => [1,1,4]
[1,2,5,6,2,1] => [1,2,5,6,3,4] => 11000 => [1,1,4]
[1,2,6,1,2,5] => [1,2,4,5,6,3] => 11000 => [1,1,4]
[1,2,6,1,5,2] => [1,2,4,6,5,3] => 11000 => [1,1,4]
[1,2,6,2,1,5] => [1,2,4,5,6,3] => 11000 => [1,1,4]
[1,2,6,2,5,1] => [1,2,4,6,5,3] => 11000 => [1,1,4]
[1,2,6,5,1,2] => [1,2,5,6,4,3] => 11000 => [1,1,4]
[1,2,6,5,2,1] => [1,2,5,6,4,3] => 11000 => [1,1,4]
[1,5,1,2,2,6] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,1,2,6,2] => [1,3,4,6,2,5] => 10000 => [1,5]
[1,5,1,6,2,2] => [1,3,5,6,2,4] => 10000 => [1,5]
[1,5,2,1,2,6] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,2,1,6,2] => [1,3,4,6,2,5] => 10000 => [1,5]
[1,5,2,2,1,6] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,2,2,6,1] => [1,3,4,6,2,5] => 10000 => [1,5]
[1,5,2,6,1,2] => [1,3,5,6,2,4] => 10000 => [1,5]
[1,5,2,6,2,1] => [1,3,5,6,2,4] => 10000 => [1,5]
[1,5,6,1,2,2] => [1,4,5,6,2,3] => 10000 => [1,5]
[1,5,6,2,1,2] => [1,4,5,6,2,3] => 10000 => [1,5]
[1,5,6,2,2,1] => [1,4,5,6,2,3] => 10000 => [1,5]
[1,6,1,2,2,5] => [1,3,4,5,6,2] => 10000 => [1,5]
[1,6,1,2,5,2] => [1,3,4,6,5,2] => 10000 => [1,5]
[1,6,1,5,2,2] => [1,3,5,6,4,2] => 10000 => [1,5]
[1,6,2,1,2,5] => [1,3,4,5,6,2] => 10000 => [1,5]
[1,6,2,1,5,2] => [1,3,4,6,5,2] => 10000 => [1,5]
[1,6,2,2,1,5] => [1,3,4,5,6,2] => 10000 => [1,5]
[1,6,2,2,5,1] => [1,3,4,6,5,2] => 10000 => [1,5]
[1,6,2,5,1,2] => [1,3,5,6,4,2] => 10000 => [1,5]
[1,6,2,5,2,1] => [1,3,5,6,4,2] => 10000 => [1,5]
[1,6,5,1,2,2] => [1,4,5,6,3,2] => 10000 => [1,5]
[1,6,5,2,1,2] => [1,4,5,6,3,2] => 10000 => [1,5]
[1,6,5,2,2,1] => [1,4,5,6,3,2] => 10000 => [1,5]
[2,1,1,2,5,6] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,1,2,6,5] => [2,1,3,4,6,5] => 01110 => [2,1,1,2]
[2,1,1,5,2,6] => [2,1,3,5,4,6] => 01101 => [2,1,2,1]
[2,1,1,5,6,2] => [2,1,3,6,4,5] => 01100 => [2,1,3]
[2,1,1,6,2,5] => [2,1,3,5,6,4] => 01100 => [2,1,3]
[2,1,1,6,5,2] => [2,1,3,6,5,4] => 01100 => [2,1,3]
[2,1,2,1,5,6] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,2,1,6,5] => [2,1,3,4,6,5] => 01110 => [2,1,1,2]
[2,1,2,5,1,6] => [2,1,3,5,4,6] => 01101 => [2,1,2,1]
[2,1,2,5,6,1] => [2,1,3,6,4,5] => 01100 => [2,1,3]
[2,1,2,6,1,5] => [2,1,3,5,6,4] => 01100 => [2,1,3]
[2,1,2,6,5,1] => [2,1,3,6,5,4] => 01100 => [2,1,3]
[2,1,5,1,2,6] => [2,1,4,5,3,6] => 01001 => [2,3,1]
[2,1,5,1,6,2] => [2,1,4,6,3,5] => 01000 => [2,4]
[2,1,5,2,1,6] => [2,1,4,5,3,6] => 01001 => [2,3,1]
[2,1,5,2,6,1] => [2,1,4,6,3,5] => 01000 => [2,4]
[2,1,5,6,1,2] => [2,1,5,6,3,4] => 01000 => [2,4]
[2,1,5,6,2,1] => [2,1,5,6,3,4] => 01000 => [2,4]
[2,1,6,1,2,5] => [2,1,4,5,6,3] => 01000 => [2,4]
[2,1,6,1,5,2] => [2,1,4,6,5,3] => 01000 => [2,4]
[2,1,6,2,1,5] => [2,1,4,5,6,3] => 01000 => [2,4]
[2,1,6,2,5,1] => [2,1,4,6,5,3] => 01000 => [2,4]
[2,1,6,5,1,2] => [2,1,5,6,4,3] => 01000 => [2,4]
[2,1,6,5,2,1] => [2,1,5,6,4,3] => 01000 => [2,4]
[2,2,1,1,5,6] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,2,1,1,6,5] => [3,1,2,4,6,5] => 00110 => [3,1,2]
[2,2,1,5,1,6] => [3,1,2,5,4,6] => 00101 => [3,2,1]
[2,2,1,5,6,1] => [3,1,2,6,4,5] => 00100 => [3,3]
[2,2,1,6,1,5] => [3,1,2,5,6,4] => 00100 => [3,3]
[2,2,1,6,5,1] => [3,1,2,6,5,4] => 00100 => [3,3]
[2,2,5,1,1,6] => [4,1,2,5,3,6] => 00001 => [5,1]
[2,2,5,1,6,1] => [4,1,2,6,3,5] => 00000 => [6]
[2,2,5,6,1,1] => [5,1,2,6,3,4] => 00000 => [6]
[2,2,6,1,1,5] => [4,1,2,5,6,3] => 00000 => [6]
[2,2,6,1,5,1] => [4,1,2,6,5,3] => 00000 => [6]
[2,2,6,5,1,1] => [5,1,2,6,4,3] => 00000 => [6]
[2,5,1,1,2,6] => [3,1,4,5,2,6] => 00001 => [5,1]
[2,5,1,1,6,2] => [3,1,4,6,2,5] => 00000 => [6]
[2,5,1,2,1,6] => [3,1,4,5,2,6] => 00001 => [5,1]
[2,5,1,2,6,1] => [3,1,4,6,2,5] => 00000 => [6]
[2,5,1,6,1,2] => [3,1,5,6,2,4] => 00000 => [6]
[2,5,1,6,2,1] => [3,1,5,6,2,4] => 00000 => [6]
[2,5,2,1,1,6] => [4,1,3,5,2,6] => 00001 => [5,1]
[2,5,2,1,6,1] => [4,1,3,6,2,5] => 00000 => [6]
[2,5,2,6,1,1] => [5,1,3,6,2,4] => 00000 => [6]
[2,5,6,1,1,2] => [4,1,5,6,2,3] => 00000 => [6]
[2,5,6,1,2,1] => [4,1,5,6,2,3] => 00000 => [6]
[2,5,6,2,1,1] => [5,1,4,6,2,3] => 00000 => [6]
[2,6,1,1,2,5] => [3,1,4,5,6,2] => 00000 => [6]
[2,6,1,1,5,2] => [3,1,4,6,5,2] => 00000 => [6]
[2,6,1,2,1,5] => [3,1,4,5,6,2] => 00000 => [6]
[2,6,1,2,5,1] => [3,1,4,6,5,2] => 00000 => [6]
[2,6,1,5,1,2] => [3,1,5,6,4,2] => 00000 => [6]
[2,6,1,5,2,1] => [3,1,5,6,4,2] => 00000 => [6]
[2,6,2,1,1,5] => [4,1,3,5,6,2] => 00000 => [6]
[2,6,2,1,5,1] => [4,1,3,6,5,2] => 00000 => [6]
[2,6,2,5,1,1] => [5,1,3,6,4,2] => 00000 => [6]
[2,6,5,1,1,2] => [4,1,5,6,3,2] => 00000 => [6]
[2,6,5,1,2,1] => [4,1,5,6,3,2] => 00000 => [6]
[2,6,5,2,1,1] => [5,1,4,6,3,2] => 00000 => [6]
[5,1,1,2,2,6] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,1,2,6,2] => [2,3,4,6,1,5] => 00000 => [6]
[5,1,1,6,2,2] => [2,3,5,6,1,4] => 00000 => [6]
[5,1,2,1,2,6] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,2,1,6,2] => [2,3,4,6,1,5] => 00000 => [6]
[5,1,2,2,1,6] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,2,2,6,1] => [2,3,4,6,1,5] => 00000 => [6]
[5,1,2,6,1,2] => [2,3,5,6,1,4] => 00000 => [6]
[5,1,2,6,2,1] => [2,3,5,6,1,4] => 00000 => [6]
[5,1,6,1,2,2] => [2,4,5,6,1,3] => 00000 => [6]
[5,1,6,2,1,2] => [2,4,5,6,1,3] => 00000 => [6]
[5,1,6,2,2,1] => [2,4,5,6,1,3] => 00000 => [6]
[5,2,1,1,2,6] => [3,2,4,5,1,6] => 00001 => [5,1]
[5,2,1,1,6,2] => [3,2,4,6,1,5] => 00000 => [6]
[5,2,1,2,1,6] => [3,2,4,5,1,6] => 00001 => [5,1]
[5,2,1,2,6,1] => [3,2,4,6,1,5] => 00000 => [6]
[5,2,1,6,1,2] => [3,2,5,6,1,4] => 00000 => [6]
[5,2,1,6,2,1] => [3,2,5,6,1,4] => 00000 => [6]
[5,2,2,1,1,6] => [4,2,3,5,1,6] => 00001 => [5,1]
[5,2,2,1,6,1] => [4,2,3,6,1,5] => 00000 => [6]
[5,2,2,6,1,1] => [5,2,3,6,1,4] => 00000 => [6]
[5,2,6,1,1,2] => [4,2,5,6,1,3] => 00000 => [6]
[5,2,6,1,2,1] => [4,2,5,6,1,3] => 00000 => [6]
[5,2,6,2,1,1] => [5,2,4,6,1,3] => 00000 => [6]
[5,6,1,1,2,2] => [3,4,5,6,1,2] => 00000 => [6]
[5,6,1,2,1,2] => [3,4,5,6,1,2] => 00000 => [6]
[5,6,1,2,2,1] => [3,4,5,6,1,2] => 00000 => [6]
[5,6,2,1,1,2] => [4,3,5,6,1,2] => 00000 => [6]
[5,6,2,1,2,1] => [4,3,5,6,1,2] => 00000 => [6]
[5,6,2,2,1,1] => [5,3,4,6,1,2] => 00000 => [6]
[6,1,1,2,2,5] => [2,3,4,5,6,1] => 00000 => [6]
[6,1,1,2,5,2] => [2,3,4,6,5,1] => 00000 => [6]
[6,1,1,5,2,2] => [2,3,5,6,4,1] => 00000 => [6]
[6,1,2,1,2,5] => [2,3,4,5,6,1] => 00000 => [6]
[6,1,2,1,5,2] => [2,3,4,6,5,1] => 00000 => [6]
[6,1,2,2,1,5] => [2,3,4,5,6,1] => 00000 => [6]
[6,1,2,2,5,1] => [2,3,4,6,5,1] => 00000 => [6]
[6,1,2,5,1,2] => [2,3,5,6,4,1] => 00000 => [6]
[6,1,2,5,2,1] => [2,3,5,6,4,1] => 00000 => [6]
[6,1,5,1,2,2] => [2,4,5,6,3,1] => 00000 => [6]
[6,1,5,2,1,2] => [2,4,5,6,3,1] => 00000 => [6]
[6,1,5,2,2,1] => [2,4,5,6,3,1] => 00000 => [6]
[6,2,1,1,2,5] => [3,2,4,5,6,1] => 00000 => [6]
[6,2,1,1,5,2] => [3,2,4,6,5,1] => 00000 => [6]
[6,2,1,2,1,5] => [3,2,4,5,6,1] => 00000 => [6]
[6,2,1,2,5,1] => [3,2,4,6,5,1] => 00000 => [6]
[6,2,1,5,1,2] => [3,2,5,6,4,1] => 00000 => [6]
[6,2,1,5,2,1] => [3,2,5,6,4,1] => 00000 => [6]
[6,2,2,1,1,5] => [4,2,3,5,6,1] => 00000 => [6]
[6,2,2,1,5,1] => [4,2,3,6,5,1] => 00000 => [6]
[6,2,2,5,1,1] => [5,2,3,6,4,1] => 00000 => [6]
[6,2,5,1,1,2] => [4,2,5,6,3,1] => 00000 => [6]
[6,2,5,1,2,1] => [4,2,5,6,3,1] => 00000 => [6]
[6,2,5,2,1,1] => [5,2,4,6,3,1] => 00000 => [6]
[6,5,1,1,2,2] => [3,4,5,6,2,1] => 00000 => [6]
[6,5,1,2,1,2] => [3,4,5,6,2,1] => 00000 => [6]
[6,5,1,2,2,1] => [3,4,5,6,2,1] => 00000 => [6]
[6,5,2,1,1,2] => [4,3,5,6,2,1] => 00000 => [6]
[6,5,2,1,2,1] => [4,3,5,6,2,1] => 00000 => [6]
[6,5,2,2,1,1] => [5,3,4,6,2,1] => 00000 => [6]
[1,1,2,3,3,3] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,3,2,3,3] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,3,3,2,3] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,3,3,3,2] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,1,3,3,3] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,3,1,3,3] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,3,3,1,3] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,3,3,3,1] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,3,1,2,3,3] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,1,3,2,3] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,1,3,3,2] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,2,1,3,3] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,2,3,1,3] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,2,3,3,1] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,3,1,2,3] => [1,4,2,3,5,6] => 10011 => [1,3,1,1]
[1,3,3,1,3,2] => [1,4,2,3,5,6] => 10011 => [1,3,1,1]
[1,3,3,2,1,3] => [1,4,2,3,5,6] => 10011 => [1,3,1,1]
[1,3,3,2,3,1] => [1,4,2,3,5,6] => 10011 => [1,3,1,1]
[1,3,3,3,1,2] => [1,5,2,3,4,6] => 10001 => [1,4,1]
[1,3,3,3,2,1] => [1,5,2,3,4,6] => 10001 => [1,4,1]
[2,1,1,3,3,3] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,3,1,3,3] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,3,3,1,3] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,3,3,3,1] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,3,1,1,3,3] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,3,1,3,1,3] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,3,1,3,3,1] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,3,3,1,1,3] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,3,3,1,3,1] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,3,3,3,1,1] => [5,1,2,3,4,6] => 00001 => [5,1]
[3,1,1,2,3,3] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,1,3,2,3] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,1,3,3,2] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,2,1,3,3] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,2,3,1,3] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,2,3,3,1] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,3,1,2,3] => [2,4,1,3,5,6] => 00011 => [4,1,1]
[3,1,3,1,3,2] => [2,4,1,3,5,6] => 00011 => [4,1,1]
[3,1,3,2,1,3] => [2,4,1,3,5,6] => 00011 => [4,1,1]
[3,1,3,2,3,1] => [2,4,1,3,5,6] => 00011 => [4,1,1]
[3,1,3,3,1,2] => [2,5,1,3,4,6] => 00001 => [5,1]
[3,1,3,3,2,1] => [2,5,1,3,4,6] => 00001 => [5,1]
[3,2,1,1,3,3] => [3,2,1,4,5,6] => 00111 => [3,1,1,1]
[3,2,1,3,1,3] => [3,2,1,4,5,6] => 00111 => [3,1,1,1]
[3,2,1,3,3,1] => [3,2,1,4,5,6] => 00111 => [3,1,1,1]
[3,2,3,1,1,3] => [4,2,1,3,5,6] => 00011 => [4,1,1]
[3,2,3,1,3,1] => [4,2,1,3,5,6] => 00011 => [4,1,1]
[3,2,3,3,1,1] => [5,2,1,3,4,6] => 00001 => [5,1]
[3,3,1,1,2,3] => [3,4,1,2,5,6] => 00011 => [4,1,1]
[3,3,1,1,3,2] => [3,4,1,2,5,6] => 00011 => [4,1,1]
[3,3,1,2,1,3] => [3,4,1,2,5,6] => 00011 => [4,1,1]
[3,3,1,2,3,1] => [3,4,1,2,5,6] => 00011 => [4,1,1]
[3,3,1,3,1,2] => [3,5,1,2,4,6] => 00001 => [5,1]
[3,3,1,3,2,1] => [3,5,1,2,4,6] => 00001 => [5,1]
[3,3,2,1,1,3] => [4,3,1,2,5,6] => 00011 => [4,1,1]
[3,3,2,1,3,1] => [4,3,1,2,5,6] => 00011 => [4,1,1]
[3,3,2,3,1,1] => [5,3,1,2,4,6] => 00001 => [5,1]
[3,3,3,1,1,2] => [4,5,1,2,3,6] => 00001 => [5,1]
[3,3,3,1,2,1] => [4,5,1,2,3,6] => 00001 => [5,1]
[3,3,3,2,1,1] => [5,4,1,2,3,6] => 00001 => [5,1]
[1,1,2,3,3,4] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,2,3,4,3] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,2,4,3,3] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,3,2,3,4] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,3,2,4,3] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,3,3,2,4] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,3,3,4,2] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,3,4,2,3] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,3,4,3,2] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,4,2,3,3] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,1,4,3,2,3] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,1,4,3,3,2] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,2,1,3,3,4] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,1,3,4,3] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,1,4,3,3] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,3,1,3,4] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,3,1,4,3] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,3,3,1,4] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,3,3,4,1] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,3,4,1,3] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,3,4,3,1] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,4,1,3,3] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,2,4,3,1,3] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,2,4,3,3,1] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,3,1,2,3,4] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,1,2,4,3] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,1,3,2,4] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,1,3,4,2] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,1,4,2,3] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,1,4,3,2] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,2,1,3,4] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,2,1,4,3] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,2,3,1,4] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,2,3,4,1] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,2,4,1,3] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,2,4,3,1] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,3,1,2,4] => [1,4,2,3,5,6] => 10011 => [1,3,1,1]
[1,3,3,1,4,2] => [1,4,2,3,5,6] => 10011 => [1,3,1,1]
[1,3,3,2,1,4] => [1,4,2,3,5,6] => 10011 => [1,3,1,1]
[1,3,3,2,4,1] => [1,4,2,3,5,6] => 10011 => [1,3,1,1]
[1,3,3,4,1,2] => [1,5,2,3,4,6] => 10001 => [1,4,1]
[1,3,3,4,2,1] => [1,5,2,3,4,6] => 10001 => [1,4,1]
[1,3,4,1,2,3] => [1,4,2,3,5,6] => 10011 => [1,3,1,1]
[1,3,4,1,3,2] => [1,4,2,3,5,6] => 10011 => [1,3,1,1]
[1,3,4,2,1,3] => [1,4,2,3,5,6] => 10011 => [1,3,1,1]
[1,3,4,2,3,1] => [1,4,2,3,5,6] => 10011 => [1,3,1,1]
[1,3,4,3,1,2] => [1,5,2,3,4,6] => 10001 => [1,4,1]
[1,3,4,3,2,1] => [1,5,2,3,4,6] => 10001 => [1,4,1]
[1,4,1,2,3,3] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,1,3,2,3] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,1,3,3,2] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,2,1,3,3] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,2,3,1,3] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,2,3,3,1] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,3,1,2,3] => [1,4,3,2,5,6] => 10011 => [1,3,1,1]
[1,4,3,1,3,2] => [1,4,3,2,5,6] => 10011 => [1,3,1,1]
[1,4,3,2,1,3] => [1,4,3,2,5,6] => 10011 => [1,3,1,1]
[1,4,3,2,3,1] => [1,4,3,2,5,6] => 10011 => [1,3,1,1]
[1,4,3,3,1,2] => [1,5,3,2,4,6] => 10001 => [1,4,1]
[1,4,3,3,2,1] => [1,5,3,2,4,6] => 10001 => [1,4,1]
[2,1,1,3,3,4] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,1,3,4,3] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,1,4,3,3] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,3,1,3,4] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,3,1,4,3] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,3,3,1,4] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,3,3,4,1] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,3,4,1,3] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,3,4,3,1] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,4,1,3,3] => [2,1,4,3,5,6] => 01011 => [2,2,1,1]
[2,1,4,3,1,3] => [2,1,4,3,5,6] => 01011 => [2,2,1,1]
[2,1,4,3,3,1] => [2,1,4,3,5,6] => 01011 => [2,2,1,1]
[2,3,1,1,3,4] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,3,1,1,4,3] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,3,1,3,1,4] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,3,1,3,4,1] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,3,1,4,1,3] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,3,1,4,3,1] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,3,3,1,1,4] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,3,3,1,4,1] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,3,3,4,1,1] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,3,4,1,1,3] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,3,4,1,3,1] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,3,4,3,1,1] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,4,1,1,3,3] => [3,1,4,2,5,6] => 00011 => [4,1,1]
[2,4,1,3,1,3] => [3,1,4,2,5,6] => 00011 => [4,1,1]
[2,4,1,3,3,1] => [3,1,4,2,5,6] => 00011 => [4,1,1]
[2,4,3,1,1,3] => [4,1,3,2,5,6] => 00011 => [4,1,1]
[2,4,3,1,3,1] => [4,1,3,2,5,6] => 00011 => [4,1,1]
[2,4,3,3,1,1] => [5,1,3,2,4,6] => 00001 => [5,1]
[3,1,1,2,3,4] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,1,2,4,3] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,1,3,2,4] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,1,3,4,2] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,1,4,2,3] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,1,4,3,2] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,2,1,3,4] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,2,1,4,3] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,2,3,1,4] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,2,3,4,1] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,2,4,1,3] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,2,4,3,1] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,3,1,2,4] => [2,4,1,3,5,6] => 00011 => [4,1,1]
[3,1,3,1,4,2] => [2,4,1,3,5,6] => 00011 => [4,1,1]
[3,1,3,2,1,4] => [2,4,1,3,5,6] => 00011 => [4,1,1]
[3,1,3,2,4,1] => [2,4,1,3,5,6] => 00011 => [4,1,1]
[3,1,3,4,1,2] => [2,5,1,3,4,6] => 00001 => [5,1]
[3,1,3,4,2,1] => [2,5,1,3,4,6] => 00001 => [5,1]
[3,1,4,1,2,3] => [2,4,1,3,5,6] => 00011 => [4,1,1]
[3,1,4,1,3,2] => [2,4,1,3,5,6] => 00011 => [4,1,1]
[3,1,4,2,1,3] => [2,4,1,3,5,6] => 00011 => [4,1,1]
[3,1,4,2,3,1] => [2,4,1,3,5,6] => 00011 => [4,1,1]
[3,1,4,3,1,2] => [2,5,1,3,4,6] => 00001 => [5,1]
[3,1,4,3,2,1] => [2,5,1,3,4,6] => 00001 => [5,1]
[3,2,1,1,3,4] => [3,2,1,4,5,6] => 00111 => [3,1,1,1]
[3,2,1,1,4,3] => [3,2,1,4,5,6] => 00111 => [3,1,1,1]
[3,2,1,3,1,4] => [3,2,1,4,5,6] => 00111 => [3,1,1,1]
[3,2,1,3,4,1] => [3,2,1,4,5,6] => 00111 => [3,1,1,1]
[3,2,1,4,1,3] => [3,2,1,4,5,6] => 00111 => [3,1,1,1]
[3,2,1,4,3,1] => [3,2,1,4,5,6] => 00111 => [3,1,1,1]
[3,2,3,1,1,4] => [4,2,1,3,5,6] => 00011 => [4,1,1]
[3,2,3,1,4,1] => [4,2,1,3,5,6] => 00011 => [4,1,1]
[3,2,3,4,1,1] => [5,2,1,3,4,6] => 00001 => [5,1]
[3,2,4,1,1,3] => [4,2,1,3,5,6] => 00011 => [4,1,1]
[3,2,4,1,3,1] => [4,2,1,3,5,6] => 00011 => [4,1,1]
[3,2,4,3,1,1] => [5,2,1,3,4,6] => 00001 => [5,1]
[3,3,1,1,2,4] => [3,4,1,2,5,6] => 00011 => [4,1,1]
[3,3,1,1,4,2] => [3,4,1,2,5,6] => 00011 => [4,1,1]
[3,3,1,2,1,4] => [3,4,1,2,5,6] => 00011 => [4,1,1]
[3,3,1,2,4,1] => [3,4,1,2,5,6] => 00011 => [4,1,1]
[3,3,1,4,1,2] => [3,5,1,2,4,6] => 00001 => [5,1]
[3,3,1,4,2,1] => [3,5,1,2,4,6] => 00001 => [5,1]
[3,3,2,1,1,4] => [4,3,1,2,5,6] => 00011 => [4,1,1]
[3,3,2,1,4,1] => [4,3,1,2,5,6] => 00011 => [4,1,1]
[3,3,2,4,1,1] => [5,3,1,2,4,6] => 00001 => [5,1]
[3,3,4,1,1,2] => [4,5,1,2,3,6] => 00001 => [5,1]
[3,3,4,1,2,1] => [4,5,1,2,3,6] => 00001 => [5,1]
[3,3,4,2,1,1] => [5,4,1,2,3,6] => 00001 => [5,1]
[3,4,1,1,2,3] => [3,4,1,2,5,6] => 00011 => [4,1,1]
[3,4,1,1,3,2] => [3,4,1,2,5,6] => 00011 => [4,1,1]
[3,4,1,2,1,3] => [3,4,1,2,5,6] => 00011 => [4,1,1]
[3,4,1,2,3,1] => [3,4,1,2,5,6] => 00011 => [4,1,1]
[3,4,1,3,1,2] => [3,5,1,2,4,6] => 00001 => [5,1]
[3,4,1,3,2,1] => [3,5,1,2,4,6] => 00001 => [5,1]
[3,4,2,1,1,3] => [4,3,1,2,5,6] => 00011 => [4,1,1]
[3,4,2,1,3,1] => [4,3,1,2,5,6] => 00011 => [4,1,1]
[3,4,2,3,1,1] => [5,3,1,2,4,6] => 00001 => [5,1]
[3,4,3,1,1,2] => [4,5,1,2,3,6] => 00001 => [5,1]
[3,4,3,1,2,1] => [4,5,1,2,3,6] => 00001 => [5,1]
[3,4,3,2,1,1] => [5,4,1,2,3,6] => 00001 => [5,1]
[4,1,1,2,3,3] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,1,3,2,3] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,1,3,3,2] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,2,1,3,3] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,2,3,1,3] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,2,3,3,1] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,3,1,2,3] => [2,4,3,1,5,6] => 00011 => [4,1,1]
[4,1,3,1,3,2] => [2,4,3,1,5,6] => 00011 => [4,1,1]
[4,1,3,2,1,3] => [2,4,3,1,5,6] => 00011 => [4,1,1]
[4,1,3,2,3,1] => [2,4,3,1,5,6] => 00011 => [4,1,1]
[4,1,3,3,1,2] => [2,5,3,1,4,6] => 00001 => [5,1]
[4,1,3,3,2,1] => [2,5,3,1,4,6] => 00001 => [5,1]
[4,2,1,1,3,3] => [3,2,4,1,5,6] => 00011 => [4,1,1]
[4,2,1,3,1,3] => [3,2,4,1,5,6] => 00011 => [4,1,1]
[4,2,1,3,3,1] => [3,2,4,1,5,6] => 00011 => [4,1,1]
[4,2,3,1,1,3] => [4,2,3,1,5,6] => 00011 => [4,1,1]
[4,2,3,1,3,1] => [4,2,3,1,5,6] => 00011 => [4,1,1]
[4,2,3,3,1,1] => [5,2,3,1,4,6] => 00001 => [5,1]
[4,3,1,1,2,3] => [3,4,2,1,5,6] => 00011 => [4,1,1]
[4,3,1,1,3,2] => [3,4,2,1,5,6] => 00011 => [4,1,1]
[4,3,1,2,1,3] => [3,4,2,1,5,6] => 00011 => [4,1,1]
[4,3,1,2,3,1] => [3,4,2,1,5,6] => 00011 => [4,1,1]
[4,3,1,3,1,2] => [3,5,2,1,4,6] => 00001 => [5,1]
[4,3,1,3,2,1] => [3,5,2,1,4,6] => 00001 => [5,1]
[4,3,2,1,1,3] => [4,3,2,1,5,6] => 00011 => [4,1,1]
[4,3,2,1,3,1] => [4,3,2,1,5,6] => 00011 => [4,1,1]
[4,3,2,3,1,1] => [5,3,2,1,4,6] => 00001 => [5,1]
[4,3,3,1,1,2] => [4,5,2,1,3,6] => 00001 => [5,1]
[4,3,3,1,2,1] => [4,5,2,1,3,6] => 00001 => [5,1]
[4,3,3,2,1,1] => [5,4,2,1,3,6] => 00001 => [5,1]
[1,1,2,3,3,5] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,2,3,5,3] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,2,5,3,3] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,1,3,2,3,5] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,3,2,5,3] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,3,3,2,5] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,3,3,5,2] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,3,5,2,3] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,1,3,5,3,2] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,1,5,2,3,3] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,1,5,3,2,3] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,1,5,3,3,2] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,2,1,3,3,5] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,1,3,5,3] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,1,5,3,3] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,2,3,1,3,5] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,3,1,5,3] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,3,3,1,5] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,3,3,5,1] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,3,5,1,3] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,2,3,5,3,1] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,2,5,1,3,3] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,2,5,3,1,3] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,2,5,3,3,1] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,3,1,2,3,5] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,1,2,5,3] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,1,3,2,5] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,1,3,5,2] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,1,5,2,3] => [1,3,2,5,4,6] => 10101 => [1,2,2,1]
[1,3,1,5,3,2] => [1,3,2,5,4,6] => 10101 => [1,2,2,1]
[1,3,2,1,3,5] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,2,1,5,3] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,2,3,1,5] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,2,3,5,1] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,2,5,1,3] => [1,3,2,5,4,6] => 10101 => [1,2,2,1]
[1,3,2,5,3,1] => [1,3,2,5,4,6] => 10101 => [1,2,2,1]
[1,3,3,1,2,5] => [1,4,2,3,5,6] => 10011 => [1,3,1,1]
[1,3,3,1,5,2] => [1,4,2,3,5,6] => 10011 => [1,3,1,1]
[1,3,3,2,1,5] => [1,4,2,3,5,6] => 10011 => [1,3,1,1]
[1,3,3,2,5,1] => [1,4,2,3,5,6] => 10011 => [1,3,1,1]
[1,3,3,5,1,2] => [1,5,2,3,4,6] => 10001 => [1,4,1]
[1,3,3,5,2,1] => [1,5,2,3,4,6] => 10001 => [1,4,1]
[1,3,5,1,2,3] => [1,4,2,5,3,6] => 10001 => [1,4,1]
[1,3,5,1,3,2] => [1,4,2,5,3,6] => 10001 => [1,4,1]
[1,3,5,2,1,3] => [1,4,2,5,3,6] => 10001 => [1,4,1]
[1,3,5,2,3,1] => [1,4,2,5,3,6] => 10001 => [1,4,1]
[1,3,5,3,1,2] => [1,5,2,4,3,6] => 10001 => [1,4,1]
[1,3,5,3,2,1] => [1,5,2,4,3,6] => 10001 => [1,4,1]
[1,5,1,2,3,3] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,1,3,2,3] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,1,3,3,2] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,2,1,3,3] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,2,3,1,3] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,2,3,3,1] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,3,1,2,3] => [1,4,3,5,2,6] => 10001 => [1,4,1]
[1,5,3,1,3,2] => [1,4,3,5,2,6] => 10001 => [1,4,1]
[1,5,3,2,1,3] => [1,4,3,5,2,6] => 10001 => [1,4,1]
[1,5,3,2,3,1] => [1,4,3,5,2,6] => 10001 => [1,4,1]
[1,5,3,3,1,2] => [1,5,3,4,2,6] => 10001 => [1,4,1]
[1,5,3,3,2,1] => [1,5,3,4,2,6] => 10001 => [1,4,1]
[2,1,1,3,3,5] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,1,3,5,3] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,1,5,3,3] => [2,1,3,5,4,6] => 01101 => [2,1,2,1]
[2,1,3,1,3,5] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,3,1,5,3] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,3,3,1,5] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,3,3,5,1] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,3,5,1,3] => [2,1,3,5,4,6] => 01101 => [2,1,2,1]
[2,1,3,5,3,1] => [2,1,3,5,4,6] => 01101 => [2,1,2,1]
[2,1,5,1,3,3] => [2,1,4,5,3,6] => 01001 => [2,3,1]
[2,1,5,3,1,3] => [2,1,4,5,3,6] => 01001 => [2,3,1]
[2,1,5,3,3,1] => [2,1,4,5,3,6] => 01001 => [2,3,1]
[2,3,1,1,3,5] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,3,1,1,5,3] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,3,1,3,1,5] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,3,1,3,5,1] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,3,1,5,1,3] => [3,1,2,5,4,6] => 00101 => [3,2,1]
[2,3,1,5,3,1] => [3,1,2,5,4,6] => 00101 => [3,2,1]
[2,3,3,1,1,5] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,3,3,1,5,1] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,3,3,5,1,1] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,3,5,1,1,3] => [4,1,2,5,3,6] => 00001 => [5,1]
[2,3,5,1,3,1] => [4,1,2,5,3,6] => 00001 => [5,1]
[2,3,5,3,1,1] => [5,1,2,4,3,6] => 00001 => [5,1]
[2,5,1,1,3,3] => [3,1,4,5,2,6] => 00001 => [5,1]
[2,5,1,3,1,3] => [3,1,4,5,2,6] => 00001 => [5,1]
[2,5,1,3,3,1] => [3,1,4,5,2,6] => 00001 => [5,1]
[2,5,3,1,1,3] => [4,1,3,5,2,6] => 00001 => [5,1]
[2,5,3,1,3,1] => [4,1,3,5,2,6] => 00001 => [5,1]
[2,5,3,3,1,1] => [5,1,3,4,2,6] => 00001 => [5,1]
[3,1,1,2,3,5] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,1,2,5,3] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,1,3,2,5] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,1,3,5,2] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,1,5,2,3] => [2,3,1,5,4,6] => 00101 => [3,2,1]
[3,1,1,5,3,2] => [2,3,1,5,4,6] => 00101 => [3,2,1]
[3,1,2,1,3,5] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,2,1,5,3] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,2,3,1,5] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,2,3,5,1] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,2,5,1,3] => [2,3,1,5,4,6] => 00101 => [3,2,1]
[3,1,2,5,3,1] => [2,3,1,5,4,6] => 00101 => [3,2,1]
[3,1,3,1,2,5] => [2,4,1,3,5,6] => 00011 => [4,1,1]
[3,1,3,1,5,2] => [2,4,1,3,5,6] => 00011 => [4,1,1]
[3,1,3,2,1,5] => [2,4,1,3,5,6] => 00011 => [4,1,1]
[3,1,3,2,5,1] => [2,4,1,3,5,6] => 00011 => [4,1,1]
[3,1,3,5,1,2] => [2,5,1,3,4,6] => 00001 => [5,1]
[3,1,3,5,2,1] => [2,5,1,3,4,6] => 00001 => [5,1]
[3,1,5,1,2,3] => [2,4,1,5,3,6] => 00001 => [5,1]
[3,1,5,1,3,2] => [2,4,1,5,3,6] => 00001 => [5,1]
[3,1,5,2,1,3] => [2,4,1,5,3,6] => 00001 => [5,1]
[3,1,5,2,3,1] => [2,4,1,5,3,6] => 00001 => [5,1]
[3,1,5,3,1,2] => [2,5,1,4,3,6] => 00001 => [5,1]
[3,1,5,3,2,1] => [2,5,1,4,3,6] => 00001 => [5,1]
[3,2,1,1,3,5] => [3,2,1,4,5,6] => 00111 => [3,1,1,1]
[3,2,1,1,5,3] => [3,2,1,4,5,6] => 00111 => [3,1,1,1]
[3,2,1,3,1,5] => [3,2,1,4,5,6] => 00111 => [3,1,1,1]
[3,2,1,3,5,1] => [3,2,1,4,5,6] => 00111 => [3,1,1,1]
[3,2,1,5,1,3] => [3,2,1,5,4,6] => 00101 => [3,2,1]
[3,2,1,5,3,1] => [3,2,1,5,4,6] => 00101 => [3,2,1]
[3,2,3,1,1,5] => [4,2,1,3,5,6] => 00011 => [4,1,1]
[3,2,3,1,5,1] => [4,2,1,3,5,6] => 00011 => [4,1,1]
[3,2,3,5,1,1] => [5,2,1,3,4,6] => 00001 => [5,1]
[3,2,5,1,1,3] => [4,2,1,5,3,6] => 00001 => [5,1]
[3,2,5,1,3,1] => [4,2,1,5,3,6] => 00001 => [5,1]
[3,2,5,3,1,1] => [5,2,1,4,3,6] => 00001 => [5,1]
[3,3,1,1,2,5] => [3,4,1,2,5,6] => 00011 => [4,1,1]
[3,3,1,1,5,2] => [3,4,1,2,5,6] => 00011 => [4,1,1]
[3,3,1,2,1,5] => [3,4,1,2,5,6] => 00011 => [4,1,1]
[3,3,1,2,5,1] => [3,4,1,2,5,6] => 00011 => [4,1,1]
[3,3,1,5,1,2] => [3,5,1,2,4,6] => 00001 => [5,1]
[3,3,1,5,2,1] => [3,5,1,2,4,6] => 00001 => [5,1]
[3,3,2,1,1,5] => [4,3,1,2,5,6] => 00011 => [4,1,1]
[3,3,2,1,5,1] => [4,3,1,2,5,6] => 00011 => [4,1,1]
[3,3,2,5,1,1] => [5,3,1,2,4,6] => 00001 => [5,1]
[3,3,5,1,1,2] => [4,5,1,2,3,6] => 00001 => [5,1]
[3,3,5,1,2,1] => [4,5,1,2,3,6] => 00001 => [5,1]
[3,3,5,2,1,1] => [5,4,1,2,3,6] => 00001 => [5,1]
[3,5,1,1,2,3] => [3,4,1,5,2,6] => 00001 => [5,1]
[3,5,1,1,3,2] => [3,4,1,5,2,6] => 00001 => [5,1]
[3,5,1,2,1,3] => [3,4,1,5,2,6] => 00001 => [5,1]
[3,5,1,2,3,1] => [3,4,1,5,2,6] => 00001 => [5,1]
[3,5,1,3,1,2] => [3,5,1,4,2,6] => 00001 => [5,1]
[3,5,1,3,2,1] => [3,5,1,4,2,6] => 00001 => [5,1]
[3,5,2,1,1,3] => [4,3,1,5,2,6] => 00001 => [5,1]
[3,5,2,1,3,1] => [4,3,1,5,2,6] => 00001 => [5,1]
[3,5,2,3,1,1] => [5,3,1,4,2,6] => 00001 => [5,1]
[3,5,3,1,1,2] => [4,5,1,3,2,6] => 00001 => [5,1]
[3,5,3,1,2,1] => [4,5,1,3,2,6] => 00001 => [5,1]
[3,5,3,2,1,1] => [5,4,1,3,2,6] => 00001 => [5,1]
[5,1,1,2,3,3] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,1,3,2,3] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,1,3,3,2] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,2,1,3,3] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,2,3,1,3] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,2,3,3,1] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,3,1,2,3] => [2,4,3,5,1,6] => 00001 => [5,1]
[5,1,3,1,3,2] => [2,4,3,5,1,6] => 00001 => [5,1]
[5,1,3,2,1,3] => [2,4,3,5,1,6] => 00001 => [5,1]
[5,1,3,2,3,1] => [2,4,3,5,1,6] => 00001 => [5,1]
[5,1,3,3,1,2] => [2,5,3,4,1,6] => 00001 => [5,1]
[5,1,3,3,2,1] => [2,5,3,4,1,6] => 00001 => [5,1]
[5,2,1,1,3,3] => [3,2,4,5,1,6] => 00001 => [5,1]
[5,2,1,3,1,3] => [3,2,4,5,1,6] => 00001 => [5,1]
[5,2,1,3,3,1] => [3,2,4,5,1,6] => 00001 => [5,1]
[5,2,3,1,1,3] => [4,2,3,5,1,6] => 00001 => [5,1]
[5,2,3,1,3,1] => [4,2,3,5,1,6] => 00001 => [5,1]
[5,2,3,3,1,1] => [5,2,3,4,1,6] => 00001 => [5,1]
[5,3,1,1,2,3] => [3,4,2,5,1,6] => 00001 => [5,1]
[5,3,1,1,3,2] => [3,4,2,5,1,6] => 00001 => [5,1]
[5,3,1,2,1,3] => [3,4,2,5,1,6] => 00001 => [5,1]
[5,3,1,2,3,1] => [3,4,2,5,1,6] => 00001 => [5,1]
[5,3,1,3,1,2] => [3,5,2,4,1,6] => 00001 => [5,1]
[5,3,1,3,2,1] => [3,5,2,4,1,6] => 00001 => [5,1]
[5,3,2,1,1,3] => [4,3,2,5,1,6] => 00001 => [5,1]
[5,3,2,1,3,1] => [4,3,2,5,1,6] => 00001 => [5,1]
[5,3,2,3,1,1] => [5,3,2,4,1,6] => 00001 => [5,1]
[5,3,3,1,1,2] => [4,5,2,3,1,6] => 00001 => [5,1]
[5,3,3,1,2,1] => [4,5,2,3,1,6] => 00001 => [5,1]
[5,3,3,2,1,1] => [5,4,2,3,1,6] => 00001 => [5,1]
[1,1,2,3,3,6] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,2,3,6,3] => [1,2,3,4,6,5] => 11110 => [1,1,1,1,2]
[1,1,2,6,3,3] => [1,2,3,5,6,4] => 11100 => [1,1,1,3]
[1,1,3,2,3,6] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,3,2,6,3] => [1,2,3,4,6,5] => 11110 => [1,1,1,1,2]
[1,1,3,3,2,6] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,3,3,6,2] => [1,2,3,4,6,5] => 11110 => [1,1,1,1,2]
[1,1,3,6,2,3] => [1,2,3,5,6,4] => 11100 => [1,1,1,3]
[1,1,3,6,3,2] => [1,2,3,5,6,4] => 11100 => [1,1,1,3]
[1,1,6,2,3,3] => [1,2,4,5,6,3] => 11000 => [1,1,4]
[1,1,6,3,2,3] => [1,2,4,5,6,3] => 11000 => [1,1,4]
[1,1,6,3,3,2] => [1,2,4,5,6,3] => 11000 => [1,1,4]
[1,2,1,3,3,6] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,1,3,6,3] => [1,2,3,4,6,5] => 11110 => [1,1,1,1,2]
[1,2,1,6,3,3] => [1,2,3,5,6,4] => 11100 => [1,1,1,3]
[1,2,3,1,3,6] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,3,1,6,3] => [1,2,3,4,6,5] => 11110 => [1,1,1,1,2]
[1,2,3,3,1,6] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,3,3,6,1] => [1,2,3,4,6,5] => 11110 => [1,1,1,1,2]
[1,2,3,6,1,3] => [1,2,3,5,6,4] => 11100 => [1,1,1,3]
[1,2,3,6,3,1] => [1,2,3,5,6,4] => 11100 => [1,1,1,3]
[1,2,6,1,3,3] => [1,2,4,5,6,3] => 11000 => [1,1,4]
[1,2,6,3,1,3] => [1,2,4,5,6,3] => 11000 => [1,1,4]
[1,2,6,3,3,1] => [1,2,4,5,6,3] => 11000 => [1,1,4]
[1,3,1,2,3,6] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,1,2,6,3] => [1,3,2,4,6,5] => 10110 => [1,2,1,2]
[1,3,1,3,2,6] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,1,3,6,2] => [1,3,2,4,6,5] => 10110 => [1,2,1,2]
[1,3,1,6,2,3] => [1,3,2,5,6,4] => 10100 => [1,2,3]
[1,3,1,6,3,2] => [1,3,2,5,6,4] => 10100 => [1,2,3]
[1,3,2,1,3,6] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,2,1,6,3] => [1,3,2,4,6,5] => 10110 => [1,2,1,2]
[1,3,2,3,1,6] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,2,3,6,1] => [1,3,2,4,6,5] => 10110 => [1,2,1,2]
[1,3,2,6,1,3] => [1,3,2,5,6,4] => 10100 => [1,2,3]
[1,3,2,6,3,1] => [1,3,2,5,6,4] => 10100 => [1,2,3]
[1,3,3,1,2,6] => [1,4,2,3,5,6] => 10011 => [1,3,1,1]
[1,3,3,1,6,2] => [1,4,2,3,6,5] => 10010 => [1,3,2]
[1,3,3,2,1,6] => [1,4,2,3,5,6] => 10011 => [1,3,1,1]
[1,3,3,2,6,1] => [1,4,2,3,6,5] => 10010 => [1,3,2]
[1,3,3,6,1,2] => [1,5,2,3,6,4] => 10000 => [1,5]
[1,3,3,6,2,1] => [1,5,2,3,6,4] => 10000 => [1,5]
[1,3,6,1,2,3] => [1,4,2,5,6,3] => 10000 => [1,5]
[1,3,6,1,3,2] => [1,4,2,5,6,3] => 10000 => [1,5]
[1,3,6,2,1,3] => [1,4,2,5,6,3] => 10000 => [1,5]
[1,3,6,2,3,1] => [1,4,2,5,6,3] => 10000 => [1,5]
[1,3,6,3,1,2] => [1,5,2,4,6,3] => 10000 => [1,5]
[1,3,6,3,2,1] => [1,5,2,4,6,3] => 10000 => [1,5]
[1,6,1,2,3,3] => [1,3,4,5,6,2] => 10000 => [1,5]
[1,6,1,3,2,3] => [1,3,4,5,6,2] => 10000 => [1,5]
[1,6,1,3,3,2] => [1,3,4,5,6,2] => 10000 => [1,5]
[1,6,2,1,3,3] => [1,3,4,5,6,2] => 10000 => [1,5]
[1,6,2,3,1,3] => [1,3,4,5,6,2] => 10000 => [1,5]
[1,6,2,3,3,1] => [1,3,4,5,6,2] => 10000 => [1,5]
[1,6,3,1,2,3] => [1,4,3,5,6,2] => 10000 => [1,5]
[1,6,3,1,3,2] => [1,4,3,5,6,2] => 10000 => [1,5]
[1,6,3,2,1,3] => [1,4,3,5,6,2] => 10000 => [1,5]
[1,6,3,2,3,1] => [1,4,3,5,6,2] => 10000 => [1,5]
[1,6,3,3,1,2] => [1,5,3,4,6,2] => 10000 => [1,5]
[1,6,3,3,2,1] => [1,5,3,4,6,2] => 10000 => [1,5]
[2,1,1,3,3,6] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,1,3,6,3] => [2,1,3,4,6,5] => 01110 => [2,1,1,2]
[2,1,1,6,3,3] => [2,1,3,5,6,4] => 01100 => [2,1,3]
[2,1,3,1,3,6] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,3,1,6,3] => [2,1,3,4,6,5] => 01110 => [2,1,1,2]
[2,1,3,3,1,6] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,3,3,6,1] => [2,1,3,4,6,5] => 01110 => [2,1,1,2]
[2,1,3,6,1,3] => [2,1,3,5,6,4] => 01100 => [2,1,3]
[2,1,3,6,3,1] => [2,1,3,5,6,4] => 01100 => [2,1,3]
[2,1,6,1,3,3] => [2,1,4,5,6,3] => 01000 => [2,4]
[2,1,6,3,1,3] => [2,1,4,5,6,3] => 01000 => [2,4]
[2,1,6,3,3,1] => [2,1,4,5,6,3] => 01000 => [2,4]
[2,3,1,1,3,6] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,3,1,1,6,3] => [3,1,2,4,6,5] => 00110 => [3,1,2]
[2,3,1,3,1,6] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,3,1,3,6,1] => [3,1,2,4,6,5] => 00110 => [3,1,2]
[2,3,1,6,1,3] => [3,1,2,5,6,4] => 00100 => [3,3]
[2,3,1,6,3,1] => [3,1,2,5,6,4] => 00100 => [3,3]
[2,3,3,1,1,6] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,3,3,1,6,1] => [4,1,2,3,6,5] => 00010 => [4,2]
[2,3,3,6,1,1] => [5,1,2,3,6,4] => 00000 => [6]
[2,3,6,1,1,3] => [4,1,2,5,6,3] => 00000 => [6]
[2,3,6,1,3,1] => [4,1,2,5,6,3] => 00000 => [6]
[2,3,6,3,1,1] => [5,1,2,4,6,3] => 00000 => [6]
[2,6,1,1,3,3] => [3,1,4,5,6,2] => 00000 => [6]
[2,6,1,3,1,3] => [3,1,4,5,6,2] => 00000 => [6]
[2,6,1,3,3,1] => [3,1,4,5,6,2] => 00000 => [6]
[2,6,3,1,1,3] => [4,1,3,5,6,2] => 00000 => [6]
[2,6,3,1,3,1] => [4,1,3,5,6,2] => 00000 => [6]
[2,6,3,3,1,1] => [5,1,3,4,6,2] => 00000 => [6]
[3,1,1,2,3,6] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,1,2,6,3] => [2,3,1,4,6,5] => 00110 => [3,1,2]
[3,1,1,3,2,6] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,1,3,6,2] => [2,3,1,4,6,5] => 00110 => [3,1,2]
[3,1,1,6,2,3] => [2,3,1,5,6,4] => 00100 => [3,3]
[3,1,1,6,3,2] => [2,3,1,5,6,4] => 00100 => [3,3]
[3,1,2,1,3,6] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,2,1,6,3] => [2,3,1,4,6,5] => 00110 => [3,1,2]
[3,1,2,3,1,6] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,2,3,6,1] => [2,3,1,4,6,5] => 00110 => [3,1,2]
[3,1,2,6,1,3] => [2,3,1,5,6,4] => 00100 => [3,3]
[3,1,2,6,3,1] => [2,3,1,5,6,4] => 00100 => [3,3]
[3,1,3,1,2,6] => [2,4,1,3,5,6] => 00011 => [4,1,1]
[3,1,3,1,6,2] => [2,4,1,3,6,5] => 00010 => [4,2]
[3,1,3,2,1,6] => [2,4,1,3,5,6] => 00011 => [4,1,1]
[3,1,3,2,6,1] => [2,4,1,3,6,5] => 00010 => [4,2]
[3,1,3,6,1,2] => [2,5,1,3,6,4] => 00000 => [6]
[3,1,3,6,2,1] => [2,5,1,3,6,4] => 00000 => [6]
[3,1,6,1,2,3] => [2,4,1,5,6,3] => 00000 => [6]
[3,1,6,1,3,2] => [2,4,1,5,6,3] => 00000 => [6]
[3,1,6,2,1,3] => [2,4,1,5,6,3] => 00000 => [6]
[3,1,6,2,3,1] => [2,4,1,5,6,3] => 00000 => [6]
[3,1,6,3,1,2] => [2,5,1,4,6,3] => 00000 => [6]
[3,1,6,3,2,1] => [2,5,1,4,6,3] => 00000 => [6]
[3,2,1,1,3,6] => [3,2,1,4,5,6] => 00111 => [3,1,1,1]
[3,2,1,1,6,3] => [3,2,1,4,6,5] => 00110 => [3,1,2]
[3,2,1,3,1,6] => [3,2,1,4,5,6] => 00111 => [3,1,1,1]
[3,2,1,3,6,1] => [3,2,1,4,6,5] => 00110 => [3,1,2]
[3,2,1,6,1,3] => [3,2,1,5,6,4] => 00100 => [3,3]
[3,2,1,6,3,1] => [3,2,1,5,6,4] => 00100 => [3,3]
[3,2,3,1,1,6] => [4,2,1,3,5,6] => 00011 => [4,1,1]
[3,2,3,1,6,1] => [4,2,1,3,6,5] => 00010 => [4,2]
[3,2,3,6,1,1] => [5,2,1,3,6,4] => 00000 => [6]
[3,2,6,1,1,3] => [4,2,1,5,6,3] => 00000 => [6]
[3,2,6,1,3,1] => [4,2,1,5,6,3] => 00000 => [6]
[3,2,6,3,1,1] => [5,2,1,4,6,3] => 00000 => [6]
[3,3,1,1,2,6] => [3,4,1,2,5,6] => 00011 => [4,1,1]
[3,3,1,1,6,2] => [3,4,1,2,6,5] => 00010 => [4,2]
[3,3,1,2,1,6] => [3,4,1,2,5,6] => 00011 => [4,1,1]
[3,3,1,2,6,1] => [3,4,1,2,6,5] => 00010 => [4,2]
[3,3,1,6,1,2] => [3,5,1,2,6,4] => 00000 => [6]
[3,3,1,6,2,1] => [3,5,1,2,6,4] => 00000 => [6]
[3,3,2,1,1,6] => [4,3,1,2,5,6] => 00011 => [4,1,1]
[3,3,2,1,6,1] => [4,3,1,2,6,5] => 00010 => [4,2]
[3,3,2,6,1,1] => [5,3,1,2,6,4] => 00000 => [6]
[3,3,6,1,1,2] => [4,5,1,2,6,3] => 00000 => [6]
[3,3,6,1,2,1] => [4,5,1,2,6,3] => 00000 => [6]
[3,3,6,2,1,1] => [5,4,1,2,6,3] => 00000 => [6]
[3,6,1,1,2,3] => [3,4,1,5,6,2] => 00000 => [6]
[3,6,1,1,3,2] => [3,4,1,5,6,2] => 00000 => [6]
[3,6,1,2,1,3] => [3,4,1,5,6,2] => 00000 => [6]
[3,6,1,2,3,1] => [3,4,1,5,6,2] => 00000 => [6]
[3,6,1,3,1,2] => [3,5,1,4,6,2] => 00000 => [6]
[3,6,1,3,2,1] => [3,5,1,4,6,2] => 00000 => [6]
[3,6,2,1,1,3] => [4,3,1,5,6,2] => 00000 => [6]
[3,6,2,1,3,1] => [4,3,1,5,6,2] => 00000 => [6]
[3,6,2,3,1,1] => [5,3,1,4,6,2] => 00000 => [6]
[3,6,3,1,1,2] => [4,5,1,3,6,2] => 00000 => [6]
[3,6,3,1,2,1] => [4,5,1,3,6,2] => 00000 => [6]
[3,6,3,2,1,1] => [5,4,1,3,6,2] => 00000 => [6]
[6,1,1,2,3,3] => [2,3,4,5,6,1] => 00000 => [6]
[6,1,1,3,2,3] => [2,3,4,5,6,1] => 00000 => [6]
[6,1,1,3,3,2] => [2,3,4,5,6,1] => 00000 => [6]
[6,1,2,1,3,3] => [2,3,4,5,6,1] => 00000 => [6]
[6,1,2,3,1,3] => [2,3,4,5,6,1] => 00000 => [6]
[6,1,2,3,3,1] => [2,3,4,5,6,1] => 00000 => [6]
[6,1,3,1,2,3] => [2,4,3,5,6,1] => 00000 => [6]
[6,1,3,1,3,2] => [2,4,3,5,6,1] => 00000 => [6]
[6,1,3,2,1,3] => [2,4,3,5,6,1] => 00000 => [6]
[6,1,3,2,3,1] => [2,4,3,5,6,1] => 00000 => [6]
[6,1,3,3,1,2] => [2,5,3,4,6,1] => 00000 => [6]
[6,1,3,3,2,1] => [2,5,3,4,6,1] => 00000 => [6]
[6,2,1,1,3,3] => [3,2,4,5,6,1] => 00000 => [6]
[6,2,1,3,1,3] => [3,2,4,5,6,1] => 00000 => [6]
[6,2,1,3,3,1] => [3,2,4,5,6,1] => 00000 => [6]
[6,2,3,1,1,3] => [4,2,3,5,6,1] => 00000 => [6]
[6,2,3,1,3,1] => [4,2,3,5,6,1] => 00000 => [6]
[6,2,3,3,1,1] => [5,2,3,4,6,1] => 00000 => [6]
[6,3,1,1,2,3] => [3,4,2,5,6,1] => 00000 => [6]
[6,3,1,1,3,2] => [3,4,2,5,6,1] => 00000 => [6]
[6,3,1,2,1,3] => [3,4,2,5,6,1] => 00000 => [6]
[6,3,1,2,3,1] => [3,4,2,5,6,1] => 00000 => [6]
[6,3,1,3,1,2] => [3,5,2,4,6,1] => 00000 => [6]
[6,3,1,3,2,1] => [3,5,2,4,6,1] => 00000 => [6]
[6,3,2,1,1,3] => [4,3,2,5,6,1] => 00000 => [6]
[6,3,2,1,3,1] => [4,3,2,5,6,1] => 00000 => [6]
[6,3,2,3,1,1] => [5,3,2,4,6,1] => 00000 => [6]
[6,3,3,1,1,2] => [4,5,2,3,6,1] => 00000 => [6]
[6,3,3,1,2,1] => [4,5,2,3,6,1] => 00000 => [6]
[6,3,3,2,1,1] => [5,4,2,3,6,1] => 00000 => [6]
[1,1,2,3,4,4] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,2,4,3,4] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,2,4,4,3] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,3,2,4,4] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,3,4,2,4] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,3,4,4,2] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,4,2,3,4] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,1,4,2,4,3] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,1,4,3,2,4] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,1,4,3,4,2] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,1,4,4,2,3] => [1,2,5,3,4,6] => 11001 => [1,1,3,1]
[1,1,4,4,3,2] => [1,2,5,3,4,6] => 11001 => [1,1,3,1]
[1,2,1,3,4,4] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,1,4,3,4] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,1,4,4,3] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,3,1,4,4] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,3,4,1,4] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,3,4,4,1] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,4,1,3,4] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,2,4,1,4,3] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,2,4,3,1,4] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,2,4,3,4,1] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,2,4,4,1,3] => [1,2,5,3,4,6] => 11001 => [1,1,3,1]
[1,2,4,4,3,1] => [1,2,5,3,4,6] => 11001 => [1,1,3,1]
[1,3,1,2,4,4] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,1,4,2,4] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,1,4,4,2] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,2,1,4,4] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,2,4,1,4] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,2,4,4,1] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,4,1,2,4] => [1,4,2,3,5,6] => 10011 => [1,3,1,1]
[1,3,4,1,4,2] => [1,4,2,3,5,6] => 10011 => [1,3,1,1]
[1,3,4,2,1,4] => [1,4,2,3,5,6] => 10011 => [1,3,1,1]
[1,3,4,2,4,1] => [1,4,2,3,5,6] => 10011 => [1,3,1,1]
[1,3,4,4,1,2] => [1,5,2,3,4,6] => 10001 => [1,4,1]
[1,3,4,4,2,1] => [1,5,2,3,4,6] => 10001 => [1,4,1]
[1,4,1,2,3,4] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,1,2,4,3] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,1,3,2,4] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,1,3,4,2] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,1,4,2,3] => [1,3,5,2,4,6] => 10001 => [1,4,1]
[1,4,1,4,3,2] => [1,3,5,2,4,6] => 10001 => [1,4,1]
[1,4,2,1,3,4] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,2,1,4,3] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,2,3,1,4] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,2,3,4,1] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,2,4,1,3] => [1,3,5,2,4,6] => 10001 => [1,4,1]
[1,4,2,4,3,1] => [1,3,5,2,4,6] => 10001 => [1,4,1]
[1,4,3,1,2,4] => [1,4,3,2,5,6] => 10011 => [1,3,1,1]
[1,4,3,1,4,2] => [1,4,3,2,5,6] => 10011 => [1,3,1,1]
[1,4,3,2,1,4] => [1,4,3,2,5,6] => 10011 => [1,3,1,1]
[1,4,3,2,4,1] => [1,4,3,2,5,6] => 10011 => [1,3,1,1]
[1,4,3,4,1,2] => [1,5,3,2,4,6] => 10001 => [1,4,1]
[1,4,3,4,2,1] => [1,5,3,2,4,6] => 10001 => [1,4,1]
[1,4,4,1,2,3] => [1,4,5,2,3,6] => 10001 => [1,4,1]
[1,4,4,1,3,2] => [1,4,5,2,3,6] => 10001 => [1,4,1]
[1,4,4,2,1,3] => [1,4,5,2,3,6] => 10001 => [1,4,1]
[1,4,4,2,3,1] => [1,4,5,2,3,6] => 10001 => [1,4,1]
[1,4,4,3,1,2] => [1,5,4,2,3,6] => 10001 => [1,4,1]
[1,4,4,3,2,1] => [1,5,4,2,3,6] => 10001 => [1,4,1]
[2,1,1,3,4,4] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,1,4,3,4] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,1,4,4,3] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,3,1,4,4] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,3,4,1,4] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,3,4,4,1] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,4,1,3,4] => [2,1,4,3,5,6] => 01011 => [2,2,1,1]
[2,1,4,1,4,3] => [2,1,4,3,5,6] => 01011 => [2,2,1,1]
[2,1,4,3,1,4] => [2,1,4,3,5,6] => 01011 => [2,2,1,1]
[2,1,4,3,4,1] => [2,1,4,3,5,6] => 01011 => [2,2,1,1]
[2,1,4,4,1,3] => [2,1,5,3,4,6] => 01001 => [2,3,1]
[2,1,4,4,3,1] => [2,1,5,3,4,6] => 01001 => [2,3,1]
[2,3,1,1,4,4] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,3,1,4,1,4] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,3,1,4,4,1] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,3,4,1,1,4] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,3,4,1,4,1] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,3,4,4,1,1] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,4,1,1,3,4] => [3,1,4,2,5,6] => 00011 => [4,1,1]
[2,4,1,1,4,3] => [3,1,4,2,5,6] => 00011 => [4,1,1]
[2,4,1,3,1,4] => [3,1,4,2,5,6] => 00011 => [4,1,1]
[2,4,1,3,4,1] => [3,1,4,2,5,6] => 00011 => [4,1,1]
[2,4,1,4,1,3] => [3,1,5,2,4,6] => 00001 => [5,1]
[2,4,1,4,3,1] => [3,1,5,2,4,6] => 00001 => [5,1]
[2,4,3,1,1,4] => [4,1,3,2,5,6] => 00011 => [4,1,1]
[2,4,3,1,4,1] => [4,1,3,2,5,6] => 00011 => [4,1,1]
[2,4,3,4,1,1] => [5,1,3,2,4,6] => 00001 => [5,1]
[2,4,4,1,1,3] => [4,1,5,2,3,6] => 00001 => [5,1]
[2,4,4,1,3,1] => [4,1,5,2,3,6] => 00001 => [5,1]
[2,4,4,3,1,1] => [5,1,4,2,3,6] => 00001 => [5,1]
[3,1,1,2,4,4] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,1,4,2,4] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,1,4,4,2] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,2,1,4,4] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,2,4,1,4] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,2,4,4,1] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,4,1,2,4] => [2,4,1,3,5,6] => 00011 => [4,1,1]
[3,1,4,1,4,2] => [2,4,1,3,5,6] => 00011 => [4,1,1]
[3,1,4,2,1,4] => [2,4,1,3,5,6] => 00011 => [4,1,1]
[3,1,4,2,4,1] => [2,4,1,3,5,6] => 00011 => [4,1,1]
[3,1,4,4,1,2] => [2,5,1,3,4,6] => 00001 => [5,1]
[3,1,4,4,2,1] => [2,5,1,3,4,6] => 00001 => [5,1]
[3,2,1,1,4,4] => [3,2,1,4,5,6] => 00111 => [3,1,1,1]
[3,2,1,4,1,4] => [3,2,1,4,5,6] => 00111 => [3,1,1,1]
[3,2,1,4,4,1] => [3,2,1,4,5,6] => 00111 => [3,1,1,1]
[3,2,4,1,1,4] => [4,2,1,3,5,6] => 00011 => [4,1,1]
[3,2,4,1,4,1] => [4,2,1,3,5,6] => 00011 => [4,1,1]
[3,2,4,4,1,1] => [5,2,1,3,4,6] => 00001 => [5,1]
[3,4,1,1,2,4] => [3,4,1,2,5,6] => 00011 => [4,1,1]
[3,4,1,1,4,2] => [3,4,1,2,5,6] => 00011 => [4,1,1]
[3,4,1,2,1,4] => [3,4,1,2,5,6] => 00011 => [4,1,1]
[3,4,1,2,4,1] => [3,4,1,2,5,6] => 00011 => [4,1,1]
[3,4,1,4,1,2] => [3,5,1,2,4,6] => 00001 => [5,1]
[3,4,1,4,2,1] => [3,5,1,2,4,6] => 00001 => [5,1]
[3,4,2,1,1,4] => [4,3,1,2,5,6] => 00011 => [4,1,1]
[3,4,2,1,4,1] => [4,3,1,2,5,6] => 00011 => [4,1,1]
[3,4,2,4,1,1] => [5,3,1,2,4,6] => 00001 => [5,1]
[3,4,4,1,1,2] => [4,5,1,2,3,6] => 00001 => [5,1]
[3,4,4,1,2,1] => [4,5,1,2,3,6] => 00001 => [5,1]
[3,4,4,2,1,1] => [5,4,1,2,3,6] => 00001 => [5,1]
[4,1,1,2,3,4] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,1,2,4,3] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,1,3,2,4] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,1,3,4,2] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,1,4,2,3] => [2,3,5,1,4,6] => 00001 => [5,1]
[4,1,1,4,3,2] => [2,3,5,1,4,6] => 00001 => [5,1]
[4,1,2,1,3,4] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,2,1,4,3] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,2,3,1,4] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,2,3,4,1] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,2,4,1,3] => [2,3,5,1,4,6] => 00001 => [5,1]
[4,1,2,4,3,1] => [2,3,5,1,4,6] => 00001 => [5,1]
[4,1,3,1,2,4] => [2,4,3,1,5,6] => 00011 => [4,1,1]
[4,1,3,1,4,2] => [2,4,3,1,5,6] => 00011 => [4,1,1]
[4,1,3,2,1,4] => [2,4,3,1,5,6] => 00011 => [4,1,1]
[4,1,3,2,4,1] => [2,4,3,1,5,6] => 00011 => [4,1,1]
[4,1,3,4,1,2] => [2,5,3,1,4,6] => 00001 => [5,1]
[4,1,3,4,2,1] => [2,5,3,1,4,6] => 00001 => [5,1]
[4,1,4,1,2,3] => [2,4,5,1,3,6] => 00001 => [5,1]
[4,1,4,1,3,2] => [2,4,5,1,3,6] => 00001 => [5,1]
[4,1,4,2,1,3] => [2,4,5,1,3,6] => 00001 => [5,1]
[4,1,4,2,3,1] => [2,4,5,1,3,6] => 00001 => [5,1]
[4,1,4,3,1,2] => [2,5,4,1,3,6] => 00001 => [5,1]
[4,1,4,3,2,1] => [2,5,4,1,3,6] => 00001 => [5,1]
[4,2,1,1,3,4] => [3,2,4,1,5,6] => 00011 => [4,1,1]
[4,2,1,1,4,3] => [3,2,4,1,5,6] => 00011 => [4,1,1]
[4,2,1,3,1,4] => [3,2,4,1,5,6] => 00011 => [4,1,1]
[4,2,1,3,4,1] => [3,2,4,1,5,6] => 00011 => [4,1,1]
[4,2,1,4,1,3] => [3,2,5,1,4,6] => 00001 => [5,1]
[4,2,1,4,3,1] => [3,2,5,1,4,6] => 00001 => [5,1]
[4,2,3,1,1,4] => [4,2,3,1,5,6] => 00011 => [4,1,1]
[4,2,3,1,4,1] => [4,2,3,1,5,6] => 00011 => [4,1,1]
[4,2,3,4,1,1] => [5,2,3,1,4,6] => 00001 => [5,1]
[4,2,4,1,1,3] => [4,2,5,1,3,6] => 00001 => [5,1]
[4,2,4,1,3,1] => [4,2,5,1,3,6] => 00001 => [5,1]
[4,2,4,3,1,1] => [5,2,4,1,3,6] => 00001 => [5,1]
[4,3,1,1,2,4] => [3,4,2,1,5,6] => 00011 => [4,1,1]
[4,3,1,1,4,2] => [3,4,2,1,5,6] => 00011 => [4,1,1]
[4,3,1,2,1,4] => [3,4,2,1,5,6] => 00011 => [4,1,1]
[4,3,1,2,4,1] => [3,4,2,1,5,6] => 00011 => [4,1,1]
[4,3,1,4,1,2] => [3,5,2,1,4,6] => 00001 => [5,1]
[4,3,1,4,2,1] => [3,5,2,1,4,6] => 00001 => [5,1]
[4,3,2,1,1,4] => [4,3,2,1,5,6] => 00011 => [4,1,1]
[4,3,2,1,4,1] => [4,3,2,1,5,6] => 00011 => [4,1,1]
[4,3,2,4,1,1] => [5,3,2,1,4,6] => 00001 => [5,1]
[4,3,4,1,1,2] => [4,5,2,1,3,6] => 00001 => [5,1]
[4,3,4,1,2,1] => [4,5,2,1,3,6] => 00001 => [5,1]
[4,3,4,2,1,1] => [5,4,2,1,3,6] => 00001 => [5,1]
[4,4,1,1,2,3] => [3,4,5,1,2,6] => 00001 => [5,1]
[4,4,1,1,3,2] => [3,4,5,1,2,6] => 00001 => [5,1]
[4,4,1,2,1,3] => [3,4,5,1,2,6] => 00001 => [5,1]
[4,4,1,2,3,1] => [3,4,5,1,2,6] => 00001 => [5,1]
[4,4,1,3,1,2] => [3,5,4,1,2,6] => 00001 => [5,1]
[4,4,1,3,2,1] => [3,5,4,1,2,6] => 00001 => [5,1]
[4,4,2,1,1,3] => [4,3,5,1,2,6] => 00001 => [5,1]
[4,4,2,1,3,1] => [4,3,5,1,2,6] => 00001 => [5,1]
[4,4,2,3,1,1] => [5,3,4,1,2,6] => 00001 => [5,1]
[4,4,3,1,1,2] => [4,5,3,1,2,6] => 00001 => [5,1]
[4,4,3,1,2,1] => [4,5,3,1,2,6] => 00001 => [5,1]
[4,4,3,2,1,1] => [5,4,3,1,2,6] => 00001 => [5,1]
[1,1,2,3,4,5] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,2,3,5,4] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,2,4,3,5] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,2,4,5,3] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,2,5,3,4] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,1,2,5,4,3] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,1,3,2,4,5] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,3,2,5,4] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,3,4,2,5] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,3,4,5,2] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,3,5,2,4] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,1,3,5,4,2] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,1,4,2,3,5] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,1,4,2,5,3] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,1,4,3,2,5] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,1,4,3,5,2] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,1,4,5,2,3] => [1,2,5,3,4,6] => 11001 => [1,1,3,1]
[1,1,4,5,3,2] => [1,2,5,3,4,6] => 11001 => [1,1,3,1]
[1,1,5,2,3,4] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,1,5,2,4,3] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,1,5,3,2,4] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,1,5,3,4,2] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,1,5,4,2,3] => [1,2,5,4,3,6] => 11001 => [1,1,3,1]
[1,1,5,4,3,2] => [1,2,5,4,3,6] => 11001 => [1,1,3,1]
[1,2,1,3,4,5] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,1,3,5,4] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,1,4,3,5] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,1,4,5,3] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,1,5,3,4] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,2,1,5,4,3] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,2,3,1,4,5] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,3,1,5,4] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,3,4,1,5] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,3,4,5,1] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,3,5,1,4] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,2,3,5,4,1] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,2,4,1,3,5] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,2,4,1,5,3] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,2,4,3,1,5] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,2,4,3,5,1] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,2,4,5,1,3] => [1,2,5,3,4,6] => 11001 => [1,1,3,1]
[1,2,4,5,3,1] => [1,2,5,3,4,6] => 11001 => [1,1,3,1]
[1,2,5,1,3,4] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,2,5,1,4,3] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,2,5,3,1,4] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,2,5,3,4,1] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,2,5,4,1,3] => [1,2,5,4,3,6] => 11001 => [1,1,3,1]
[1,2,5,4,3,1] => [1,2,5,4,3,6] => 11001 => [1,1,3,1]
[1,3,1,2,4,5] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,1,2,5,4] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,1,4,2,5] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,1,4,5,2] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,1,5,2,4] => [1,3,2,5,4,6] => 10101 => [1,2,2,1]
[1,3,1,5,4,2] => [1,3,2,5,4,6] => 10101 => [1,2,2,1]
[1,3,2,1,4,5] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,2,1,5,4] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,2,4,1,5] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,2,4,5,1] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,2,5,1,4] => [1,3,2,5,4,6] => 10101 => [1,2,2,1]
[1,3,2,5,4,1] => [1,3,2,5,4,6] => 10101 => [1,2,2,1]
[1,3,4,1,2,5] => [1,4,2,3,5,6] => 10011 => [1,3,1,1]
[1,3,4,1,5,2] => [1,4,2,3,5,6] => 10011 => [1,3,1,1]
[1,3,4,2,1,5] => [1,4,2,3,5,6] => 10011 => [1,3,1,1]
[1,3,4,2,5,1] => [1,4,2,3,5,6] => 10011 => [1,3,1,1]
[1,3,4,5,1,2] => [1,5,2,3,4,6] => 10001 => [1,4,1]
[1,3,4,5,2,1] => [1,5,2,3,4,6] => 10001 => [1,4,1]
[1,3,5,1,2,4] => [1,4,2,5,3,6] => 10001 => [1,4,1]
[1,3,5,1,4,2] => [1,4,2,5,3,6] => 10001 => [1,4,1]
[1,3,5,2,1,4] => [1,4,2,5,3,6] => 10001 => [1,4,1]
[1,3,5,2,4,1] => [1,4,2,5,3,6] => 10001 => [1,4,1]
[1,3,5,4,1,2] => [1,5,2,4,3,6] => 10001 => [1,4,1]
[1,3,5,4,2,1] => [1,5,2,4,3,6] => 10001 => [1,4,1]
[1,4,1,2,3,5] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,1,2,5,3] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,1,3,2,5] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,1,3,5,2] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,1,5,2,3] => [1,3,5,2,4,6] => 10001 => [1,4,1]
[1,4,1,5,3,2] => [1,3,5,2,4,6] => 10001 => [1,4,1]
[1,4,2,1,3,5] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,2,1,5,3] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,2,3,1,5] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,2,3,5,1] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,2,5,1,3] => [1,3,5,2,4,6] => 10001 => [1,4,1]
[1,4,2,5,3,1] => [1,3,5,2,4,6] => 10001 => [1,4,1]
[1,4,3,1,2,5] => [1,4,3,2,5,6] => 10011 => [1,3,1,1]
[1,4,3,1,5,2] => [1,4,3,2,5,6] => 10011 => [1,3,1,1]
[1,4,3,2,1,5] => [1,4,3,2,5,6] => 10011 => [1,3,1,1]
[1,4,3,2,5,1] => [1,4,3,2,5,6] => 10011 => [1,3,1,1]
[1,4,3,5,1,2] => [1,5,3,2,4,6] => 10001 => [1,4,1]
[1,4,3,5,2,1] => [1,5,3,2,4,6] => 10001 => [1,4,1]
[1,4,5,1,2,3] => [1,4,5,2,3,6] => 10001 => [1,4,1]
[1,4,5,1,3,2] => [1,4,5,2,3,6] => 10001 => [1,4,1]
[1,4,5,2,1,3] => [1,4,5,2,3,6] => 10001 => [1,4,1]
[1,4,5,2,3,1] => [1,4,5,2,3,6] => 10001 => [1,4,1]
[1,4,5,3,1,2] => [1,5,4,2,3,6] => 10001 => [1,4,1]
[1,4,5,3,2,1] => [1,5,4,2,3,6] => 10001 => [1,4,1]
[1,5,1,2,3,4] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,1,2,4,3] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,1,3,2,4] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,1,3,4,2] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,1,4,2,3] => [1,3,5,4,2,6] => 10001 => [1,4,1]
[1,5,1,4,3,2] => [1,3,5,4,2,6] => 10001 => [1,4,1]
[1,5,2,1,3,4] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,2,1,4,3] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,2,3,1,4] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,2,3,4,1] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,2,4,1,3] => [1,3,5,4,2,6] => 10001 => [1,4,1]
[1,5,2,4,3,1] => [1,3,5,4,2,6] => 10001 => [1,4,1]
[1,5,3,1,2,4] => [1,4,3,5,2,6] => 10001 => [1,4,1]
[1,5,3,1,4,2] => [1,4,3,5,2,6] => 10001 => [1,4,1]
[1,5,3,2,1,4] => [1,4,3,5,2,6] => 10001 => [1,4,1]
[1,5,3,2,4,1] => [1,4,3,5,2,6] => 10001 => [1,4,1]
[1,5,3,4,1,2] => [1,5,3,4,2,6] => 10001 => [1,4,1]
[1,5,3,4,2,1] => [1,5,3,4,2,6] => 10001 => [1,4,1]
[1,5,4,1,2,3] => [1,4,5,3,2,6] => 10001 => [1,4,1]
[1,5,4,1,3,2] => [1,4,5,3,2,6] => 10001 => [1,4,1]
[1,5,4,2,1,3] => [1,4,5,3,2,6] => 10001 => [1,4,1]
[1,5,4,2,3,1] => [1,4,5,3,2,6] => 10001 => [1,4,1]
[1,5,4,3,1,2] => [1,5,4,3,2,6] => 10001 => [1,4,1]
[1,5,4,3,2,1] => [1,5,4,3,2,6] => 10001 => [1,4,1]
[2,1,1,3,4,5] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,1,3,5,4] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,1,4,3,5] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,1,4,5,3] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,1,5,3,4] => [2,1,3,5,4,6] => 01101 => [2,1,2,1]
[2,1,1,5,4,3] => [2,1,3,5,4,6] => 01101 => [2,1,2,1]
[2,1,3,1,4,5] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,3,1,5,4] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,3,4,1,5] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,3,4,5,1] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,3,5,1,4] => [2,1,3,5,4,6] => 01101 => [2,1,2,1]
[2,1,3,5,4,1] => [2,1,3,5,4,6] => 01101 => [2,1,2,1]
[2,1,4,1,3,5] => [2,1,4,3,5,6] => 01011 => [2,2,1,1]
[2,1,4,1,5,3] => [2,1,4,3,5,6] => 01011 => [2,2,1,1]
[2,1,4,3,1,5] => [2,1,4,3,5,6] => 01011 => [2,2,1,1]
[2,1,4,3,5,1] => [2,1,4,3,5,6] => 01011 => [2,2,1,1]
[2,1,4,5,1,3] => [2,1,5,3,4,6] => 01001 => [2,3,1]
[2,1,4,5,3,1] => [2,1,5,3,4,6] => 01001 => [2,3,1]
[2,1,5,1,3,4] => [2,1,4,5,3,6] => 01001 => [2,3,1]
[2,1,5,1,4,3] => [2,1,4,5,3,6] => 01001 => [2,3,1]
[2,1,5,3,1,4] => [2,1,4,5,3,6] => 01001 => [2,3,1]
[2,1,5,3,4,1] => [2,1,4,5,3,6] => 01001 => [2,3,1]
[2,1,5,4,1,3] => [2,1,5,4,3,6] => 01001 => [2,3,1]
[2,1,5,4,3,1] => [2,1,5,4,3,6] => 01001 => [2,3,1]
[2,3,1,1,4,5] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,3,1,1,5,4] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,3,1,4,1,5] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,3,1,4,5,1] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,3,1,5,1,4] => [3,1,2,5,4,6] => 00101 => [3,2,1]
[2,3,1,5,4,1] => [3,1,2,5,4,6] => 00101 => [3,2,1]
[2,3,4,1,1,5] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,3,4,1,5,1] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,3,4,5,1,1] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,3,5,1,1,4] => [4,1,2,5,3,6] => 00001 => [5,1]
[2,3,5,1,4,1] => [4,1,2,5,3,6] => 00001 => [5,1]
[2,3,5,4,1,1] => [5,1,2,4,3,6] => 00001 => [5,1]
[2,4,1,1,3,5] => [3,1,4,2,5,6] => 00011 => [4,1,1]
[2,4,1,1,5,3] => [3,1,4,2,5,6] => 00011 => [4,1,1]
[2,4,1,3,1,5] => [3,1,4,2,5,6] => 00011 => [4,1,1]
[2,4,1,3,5,1] => [3,1,4,2,5,6] => 00011 => [4,1,1]
[2,4,1,5,1,3] => [3,1,5,2,4,6] => 00001 => [5,1]
[2,4,1,5,3,1] => [3,1,5,2,4,6] => 00001 => [5,1]
[2,4,3,1,1,5] => [4,1,3,2,5,6] => 00011 => [4,1,1]
[2,4,3,1,5,1] => [4,1,3,2,5,6] => 00011 => [4,1,1]
[2,4,3,5,1,1] => [5,1,3,2,4,6] => 00001 => [5,1]
[2,4,5,1,1,3] => [4,1,5,2,3,6] => 00001 => [5,1]
[2,4,5,1,3,1] => [4,1,5,2,3,6] => 00001 => [5,1]
[2,4,5,3,1,1] => [5,1,4,2,3,6] => 00001 => [5,1]
[2,5,1,1,3,4] => [3,1,4,5,2,6] => 00001 => [5,1]
[2,5,1,1,4,3] => [3,1,4,5,2,6] => 00001 => [5,1]
[2,5,1,3,1,4] => [3,1,4,5,2,6] => 00001 => [5,1]
[2,5,1,3,4,1] => [3,1,4,5,2,6] => 00001 => [5,1]
[2,5,1,4,1,3] => [3,1,5,4,2,6] => 00001 => [5,1]
[2,5,1,4,3,1] => [3,1,5,4,2,6] => 00001 => [5,1]
[2,5,3,1,1,4] => [4,1,3,5,2,6] => 00001 => [5,1]
[2,5,3,1,4,1] => [4,1,3,5,2,6] => 00001 => [5,1]
[2,5,3,4,1,1] => [5,1,3,4,2,6] => 00001 => [5,1]
[2,5,4,1,1,3] => [4,1,5,3,2,6] => 00001 => [5,1]
[2,5,4,1,3,1] => [4,1,5,3,2,6] => 00001 => [5,1]
[2,5,4,3,1,1] => [5,1,4,3,2,6] => 00001 => [5,1]
[3,1,1,2,4,5] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,1,2,5,4] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,1,4,2,5] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,1,4,5,2] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,1,5,2,4] => [2,3,1,5,4,6] => 00101 => [3,2,1]
[3,1,1,5,4,2] => [2,3,1,5,4,6] => 00101 => [3,2,1]
[3,1,2,1,4,5] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,2,1,5,4] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,2,4,1,5] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,2,4,5,1] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,2,5,1,4] => [2,3,1,5,4,6] => 00101 => [3,2,1]
[3,1,2,5,4,1] => [2,3,1,5,4,6] => 00101 => [3,2,1]
[3,1,4,1,2,5] => [2,4,1,3,5,6] => 00011 => [4,1,1]
[3,1,4,1,5,2] => [2,4,1,3,5,6] => 00011 => [4,1,1]
[3,1,4,2,1,5] => [2,4,1,3,5,6] => 00011 => [4,1,1]
[3,1,4,2,5,1] => [2,4,1,3,5,6] => 00011 => [4,1,1]
[3,1,4,5,1,2] => [2,5,1,3,4,6] => 00001 => [5,1]
[3,1,4,5,2,1] => [2,5,1,3,4,6] => 00001 => [5,1]
[3,1,5,1,2,4] => [2,4,1,5,3,6] => 00001 => [5,1]
[3,1,5,1,4,2] => [2,4,1,5,3,6] => 00001 => [5,1]
[3,1,5,2,1,4] => [2,4,1,5,3,6] => 00001 => [5,1]
[3,1,5,2,4,1] => [2,4,1,5,3,6] => 00001 => [5,1]
[3,1,5,4,1,2] => [2,5,1,4,3,6] => 00001 => [5,1]
[3,1,5,4,2,1] => [2,5,1,4,3,6] => 00001 => [5,1]
[3,2,1,1,4,5] => [3,2,1,4,5,6] => 00111 => [3,1,1,1]
[3,2,1,1,5,4] => [3,2,1,4,5,6] => 00111 => [3,1,1,1]
[3,2,1,4,1,5] => [3,2,1,4,5,6] => 00111 => [3,1,1,1]
[3,2,1,4,5,1] => [3,2,1,4,5,6] => 00111 => [3,1,1,1]
[3,2,1,5,1,4] => [3,2,1,5,4,6] => 00101 => [3,2,1]
[3,2,1,5,4,1] => [3,2,1,5,4,6] => 00101 => [3,2,1]
[3,2,4,1,1,5] => [4,2,1,3,5,6] => 00011 => [4,1,1]
[3,2,4,1,5,1] => [4,2,1,3,5,6] => 00011 => [4,1,1]
[3,2,4,5,1,1] => [5,2,1,3,4,6] => 00001 => [5,1]
[3,2,5,1,1,4] => [4,2,1,5,3,6] => 00001 => [5,1]
[3,2,5,1,4,1] => [4,2,1,5,3,6] => 00001 => [5,1]
[3,2,5,4,1,1] => [5,2,1,4,3,6] => 00001 => [5,1]
[3,4,1,1,2,5] => [3,4,1,2,5,6] => 00011 => [4,1,1]
[3,4,1,1,5,2] => [3,4,1,2,5,6] => 00011 => [4,1,1]
[3,4,1,2,1,5] => [3,4,1,2,5,6] => 00011 => [4,1,1]
[3,4,1,2,5,1] => [3,4,1,2,5,6] => 00011 => [4,1,1]
[3,4,1,5,1,2] => [3,5,1,2,4,6] => 00001 => [5,1]
[3,4,1,5,2,1] => [3,5,1,2,4,6] => 00001 => [5,1]
[3,4,2,1,1,5] => [4,3,1,2,5,6] => 00011 => [4,1,1]
[3,4,2,1,5,1] => [4,3,1,2,5,6] => 00011 => [4,1,1]
[3,4,2,5,1,1] => [5,3,1,2,4,6] => 00001 => [5,1]
[3,4,5,1,1,2] => [4,5,1,2,3,6] => 00001 => [5,1]
[3,4,5,1,2,1] => [4,5,1,2,3,6] => 00001 => [5,1]
[3,4,5,2,1,1] => [5,4,1,2,3,6] => 00001 => [5,1]
[3,5,1,1,2,4] => [3,4,1,5,2,6] => 00001 => [5,1]
[3,5,1,1,4,2] => [3,4,1,5,2,6] => 00001 => [5,1]
[3,5,1,2,1,4] => [3,4,1,5,2,6] => 00001 => [5,1]
[3,5,1,2,4,1] => [3,4,1,5,2,6] => 00001 => [5,1]
[3,5,1,4,1,2] => [3,5,1,4,2,6] => 00001 => [5,1]
[3,5,1,4,2,1] => [3,5,1,4,2,6] => 00001 => [5,1]
[3,5,2,1,1,4] => [4,3,1,5,2,6] => 00001 => [5,1]
[3,5,2,1,4,1] => [4,3,1,5,2,6] => 00001 => [5,1]
[3,5,2,4,1,1] => [5,3,1,4,2,6] => 00001 => [5,1]
[3,5,4,1,1,2] => [4,5,1,3,2,6] => 00001 => [5,1]
[3,5,4,1,2,1] => [4,5,1,3,2,6] => 00001 => [5,1]
[3,5,4,2,1,1] => [5,4,1,3,2,6] => 00001 => [5,1]
[4,1,1,2,3,5] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,1,2,5,3] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,1,3,2,5] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,1,3,5,2] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,1,5,2,3] => [2,3,5,1,4,6] => 00001 => [5,1]
[4,1,1,5,3,2] => [2,3,5,1,4,6] => 00001 => [5,1]
[4,1,2,1,3,5] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,2,1,5,3] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,2,3,1,5] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,2,3,5,1] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,2,5,1,3] => [2,3,5,1,4,6] => 00001 => [5,1]
[4,1,2,5,3,1] => [2,3,5,1,4,6] => 00001 => [5,1]
[4,1,3,1,2,5] => [2,4,3,1,5,6] => 00011 => [4,1,1]
[4,1,3,1,5,2] => [2,4,3,1,5,6] => 00011 => [4,1,1]
[4,1,3,2,1,5] => [2,4,3,1,5,6] => 00011 => [4,1,1]
[4,1,3,2,5,1] => [2,4,3,1,5,6] => 00011 => [4,1,1]
[4,1,3,5,1,2] => [2,5,3,1,4,6] => 00001 => [5,1]
[4,1,3,5,2,1] => [2,5,3,1,4,6] => 00001 => [5,1]
[4,1,5,1,2,3] => [2,4,5,1,3,6] => 00001 => [5,1]
[4,1,5,1,3,2] => [2,4,5,1,3,6] => 00001 => [5,1]
[4,1,5,2,1,3] => [2,4,5,1,3,6] => 00001 => [5,1]
[4,1,5,2,3,1] => [2,4,5,1,3,6] => 00001 => [5,1]
[4,1,5,3,1,2] => [2,5,4,1,3,6] => 00001 => [5,1]
[4,1,5,3,2,1] => [2,5,4,1,3,6] => 00001 => [5,1]
[4,2,1,1,3,5] => [3,2,4,1,5,6] => 00011 => [4,1,1]
[4,2,1,1,5,3] => [3,2,4,1,5,6] => 00011 => [4,1,1]
[4,2,1,3,1,5] => [3,2,4,1,5,6] => 00011 => [4,1,1]
[4,2,1,3,5,1] => [3,2,4,1,5,6] => 00011 => [4,1,1]
[4,2,1,5,1,3] => [3,2,5,1,4,6] => 00001 => [5,1]
[4,2,1,5,3,1] => [3,2,5,1,4,6] => 00001 => [5,1]
[4,2,3,1,1,5] => [4,2,3,1,5,6] => 00011 => [4,1,1]
[4,2,3,1,5,1] => [4,2,3,1,5,6] => 00011 => [4,1,1]
[4,2,3,5,1,1] => [5,2,3,1,4,6] => 00001 => [5,1]
[4,2,5,1,1,3] => [4,2,5,1,3,6] => 00001 => [5,1]
[4,2,5,1,3,1] => [4,2,5,1,3,6] => 00001 => [5,1]
[4,2,5,3,1,1] => [5,2,4,1,3,6] => 00001 => [5,1]
[4,3,1,1,2,5] => [3,4,2,1,5,6] => 00011 => [4,1,1]
[4,3,1,1,5,2] => [3,4,2,1,5,6] => 00011 => [4,1,1]
[4,3,1,2,1,5] => [3,4,2,1,5,6] => 00011 => [4,1,1]
[4,3,1,2,5,1] => [3,4,2,1,5,6] => 00011 => [4,1,1]
[4,3,1,5,1,2] => [3,5,2,1,4,6] => 00001 => [5,1]
[4,3,1,5,2,1] => [3,5,2,1,4,6] => 00001 => [5,1]
[4,3,2,1,1,5] => [4,3,2,1,5,6] => 00011 => [4,1,1]
[4,3,2,1,5,1] => [4,3,2,1,5,6] => 00011 => [4,1,1]
[4,3,2,5,1,1] => [5,3,2,1,4,6] => 00001 => [5,1]
[4,3,5,1,1,2] => [4,5,2,1,3,6] => 00001 => [5,1]
[4,3,5,1,2,1] => [4,5,2,1,3,6] => 00001 => [5,1]
[4,3,5,2,1,1] => [5,4,2,1,3,6] => 00001 => [5,1]
[4,5,1,1,2,3] => [3,4,5,1,2,6] => 00001 => [5,1]
[4,5,1,1,3,2] => [3,4,5,1,2,6] => 00001 => [5,1]
[4,5,1,2,1,3] => [3,4,5,1,2,6] => 00001 => [5,1]
[4,5,1,2,3,1] => [3,4,5,1,2,6] => 00001 => [5,1]
[4,5,1,3,1,2] => [3,5,4,1,2,6] => 00001 => [5,1]
[4,5,1,3,2,1] => [3,5,4,1,2,6] => 00001 => [5,1]
[4,5,2,1,1,3] => [4,3,5,1,2,6] => 00001 => [5,1]
[4,5,2,1,3,1] => [4,3,5,1,2,6] => 00001 => [5,1]
[4,5,2,3,1,1] => [5,3,4,1,2,6] => 00001 => [5,1]
[4,5,3,1,1,2] => [4,5,3,1,2,6] => 00001 => [5,1]
[4,5,3,1,2,1] => [4,5,3,1,2,6] => 00001 => [5,1]
[4,5,3,2,1,1] => [5,4,3,1,2,6] => 00001 => [5,1]
[5,1,1,2,3,4] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,1,2,4,3] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,1,3,2,4] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,1,3,4,2] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,1,4,2,3] => [2,3,5,4,1,6] => 00001 => [5,1]
[5,1,1,4,3,2] => [2,3,5,4,1,6] => 00001 => [5,1]
[5,1,2,1,3,4] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,2,1,4,3] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,2,3,1,4] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,2,3,4,1] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,2,4,1,3] => [2,3,5,4,1,6] => 00001 => [5,1]
[5,1,2,4,3,1] => [2,3,5,4,1,6] => 00001 => [5,1]
[5,1,3,1,2,4] => [2,4,3,5,1,6] => 00001 => [5,1]
[5,1,3,1,4,2] => [2,4,3,5,1,6] => 00001 => [5,1]
[5,1,3,2,1,4] => [2,4,3,5,1,6] => 00001 => [5,1]
[5,1,3,2,4,1] => [2,4,3,5,1,6] => 00001 => [5,1]
[5,1,3,4,1,2] => [2,5,3,4,1,6] => 00001 => [5,1]
[5,1,3,4,2,1] => [2,5,3,4,1,6] => 00001 => [5,1]
[5,1,4,1,2,3] => [2,4,5,3,1,6] => 00001 => [5,1]
[5,1,4,1,3,2] => [2,4,5,3,1,6] => 00001 => [5,1]
[5,1,4,2,1,3] => [2,4,5,3,1,6] => 00001 => [5,1]
[5,1,4,2,3,1] => [2,4,5,3,1,6] => 00001 => [5,1]
[5,1,4,3,1,2] => [2,5,4,3,1,6] => 00001 => [5,1]
[5,1,4,3,2,1] => [2,5,4,3,1,6] => 00001 => [5,1]
[5,2,1,1,3,4] => [3,2,4,5,1,6] => 00001 => [5,1]
[5,2,1,1,4,3] => [3,2,4,5,1,6] => 00001 => [5,1]
[5,2,1,3,1,4] => [3,2,4,5,1,6] => 00001 => [5,1]
[5,2,1,3,4,1] => [3,2,4,5,1,6] => 00001 => [5,1]
[5,2,1,4,1,3] => [3,2,5,4,1,6] => 00001 => [5,1]
[5,2,1,4,3,1] => [3,2,5,4,1,6] => 00001 => [5,1]
[5,2,3,1,1,4] => [4,2,3,5,1,6] => 00001 => [5,1]
[5,2,3,1,4,1] => [4,2,3,5,1,6] => 00001 => [5,1]
[5,2,3,4,1,1] => [5,2,3,4,1,6] => 00001 => [5,1]
[5,2,4,1,1,3] => [4,2,5,3,1,6] => 00001 => [5,1]
[5,2,4,1,3,1] => [4,2,5,3,1,6] => 00001 => [5,1]
[5,2,4,3,1,1] => [5,2,4,3,1,6] => 00001 => [5,1]
[5,3,1,1,2,4] => [3,4,2,5,1,6] => 00001 => [5,1]
[5,3,1,1,4,2] => [3,4,2,5,1,6] => 00001 => [5,1]
[5,3,1,2,1,4] => [3,4,2,5,1,6] => 00001 => [5,1]
[5,3,1,2,4,1] => [3,4,2,5,1,6] => 00001 => [5,1]
[5,3,1,4,1,2] => [3,5,2,4,1,6] => 00001 => [5,1]
[5,3,1,4,2,1] => [3,5,2,4,1,6] => 00001 => [5,1]
[5,3,2,1,1,4] => [4,3,2,5,1,6] => 00001 => [5,1]
[5,3,2,1,4,1] => [4,3,2,5,1,6] => 00001 => [5,1]
[5,3,2,4,1,1] => [5,3,2,4,1,6] => 00001 => [5,1]
[5,3,4,1,1,2] => [4,5,2,3,1,6] => 00001 => [5,1]
[5,3,4,1,2,1] => [4,5,2,3,1,6] => 00001 => [5,1]
[5,3,4,2,1,1] => [5,4,2,3,1,6] => 00001 => [5,1]
[5,4,1,1,2,3] => [3,4,5,2,1,6] => 00001 => [5,1]
[5,4,1,1,3,2] => [3,4,5,2,1,6] => 00001 => [5,1]
[5,4,1,2,1,3] => [3,4,5,2,1,6] => 00001 => [5,1]
[5,4,1,2,3,1] => [3,4,5,2,1,6] => 00001 => [5,1]
[5,4,1,3,1,2] => [3,5,4,2,1,6] => 00001 => [5,1]
[5,4,1,3,2,1] => [3,5,4,2,1,6] => 00001 => [5,1]
[5,4,2,1,1,3] => [4,3,5,2,1,6] => 00001 => [5,1]
[5,4,2,1,3,1] => [4,3,5,2,1,6] => 00001 => [5,1]
[5,4,2,3,1,1] => [5,3,4,2,1,6] => 00001 => [5,1]
[5,4,3,1,1,2] => [4,5,3,2,1,6] => 00001 => [5,1]
[5,4,3,1,2,1] => [4,5,3,2,1,6] => 00001 => [5,1]
[5,4,3,2,1,1] => [5,4,3,2,1,6] => 00001 => [5,1]
[1,1,2,3,4,6] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,2,3,6,4] => [1,2,3,4,6,5] => 11110 => [1,1,1,1,2]
[1,1,2,4,3,6] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,2,4,6,3] => [1,2,3,4,6,5] => 11110 => [1,1,1,1,2]
[1,1,2,6,3,4] => [1,2,3,5,6,4] => 11100 => [1,1,1,3]
[1,1,2,6,4,3] => [1,2,3,5,6,4] => 11100 => [1,1,1,3]
[1,1,3,2,4,6] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,3,2,6,4] => [1,2,3,4,6,5] => 11110 => [1,1,1,1,2]
[1,1,3,4,2,6] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,3,4,6,2] => [1,2,3,4,6,5] => 11110 => [1,1,1,1,2]
[1,1,3,6,2,4] => [1,2,3,5,6,4] => 11100 => [1,1,1,3]
[1,1,3,6,4,2] => [1,2,3,5,6,4] => 11100 => [1,1,1,3]
[1,1,4,2,3,6] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,1,4,2,6,3] => [1,2,4,3,6,5] => 11010 => [1,1,2,2]
[1,1,4,3,2,6] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,1,4,3,6,2] => [1,2,4,3,6,5] => 11010 => [1,1,2,2]
[1,1,4,6,2,3] => [1,2,5,3,6,4] => 11000 => [1,1,4]
[1,1,4,6,3,2] => [1,2,5,3,6,4] => 11000 => [1,1,4]
[1,1,6,2,3,4] => [1,2,4,5,6,3] => 11000 => [1,1,4]
[1,1,6,2,4,3] => [1,2,4,5,6,3] => 11000 => [1,1,4]
[1,1,6,3,2,4] => [1,2,4,5,6,3] => 11000 => [1,1,4]
[1,1,6,3,4,2] => [1,2,4,5,6,3] => 11000 => [1,1,4]
[1,1,6,4,2,3] => [1,2,5,4,6,3] => 11000 => [1,1,4]
[1,1,6,4,3,2] => [1,2,5,4,6,3] => 11000 => [1,1,4]
[1,2,1,3,4,6] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,1,3,6,4] => [1,2,3,4,6,5] => 11110 => [1,1,1,1,2]
[1,2,1,4,3,6] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,1,4,6,3] => [1,2,3,4,6,5] => 11110 => [1,1,1,1,2]
[1,2,1,6,3,4] => [1,2,3,5,6,4] => 11100 => [1,1,1,3]
[1,2,1,6,4,3] => [1,2,3,5,6,4] => 11100 => [1,1,1,3]
[1,2,3,1,4,6] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,3,1,6,4] => [1,2,3,4,6,5] => 11110 => [1,1,1,1,2]
[1,2,3,4,1,6] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,3,4,6,1] => [1,2,3,4,6,5] => 11110 => [1,1,1,1,2]
[1,2,3,6,1,4] => [1,2,3,5,6,4] => 11100 => [1,1,1,3]
[1,2,3,6,4,1] => [1,2,3,5,6,4] => 11100 => [1,1,1,3]
[1,2,4,1,3,6] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,2,4,1,6,3] => [1,2,4,3,6,5] => 11010 => [1,1,2,2]
[1,2,4,3,1,6] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,2,4,3,6,1] => [1,2,4,3,6,5] => 11010 => [1,1,2,2]
[1,2,4,6,1,3] => [1,2,5,3,6,4] => 11000 => [1,1,4]
[1,2,4,6,3,1] => [1,2,5,3,6,4] => 11000 => [1,1,4]
[1,2,6,1,3,4] => [1,2,4,5,6,3] => 11000 => [1,1,4]
[1,2,6,1,4,3] => [1,2,4,5,6,3] => 11000 => [1,1,4]
[1,2,6,3,1,4] => [1,2,4,5,6,3] => 11000 => [1,1,4]
[1,2,6,3,4,1] => [1,2,4,5,6,3] => 11000 => [1,1,4]
[1,2,6,4,1,3] => [1,2,5,4,6,3] => 11000 => [1,1,4]
[1,2,6,4,3,1] => [1,2,5,4,6,3] => 11000 => [1,1,4]
[1,3,1,2,4,6] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,1,2,6,4] => [1,3,2,4,6,5] => 10110 => [1,2,1,2]
[1,3,1,4,2,6] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,1,4,6,2] => [1,3,2,4,6,5] => 10110 => [1,2,1,2]
[1,3,1,6,2,4] => [1,3,2,5,6,4] => 10100 => [1,2,3]
[1,3,1,6,4,2] => [1,3,2,5,6,4] => 10100 => [1,2,3]
[1,3,2,1,4,6] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,2,1,6,4] => [1,3,2,4,6,5] => 10110 => [1,2,1,2]
[1,3,2,4,1,6] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,2,4,6,1] => [1,3,2,4,6,5] => 10110 => [1,2,1,2]
[1,3,2,6,1,4] => [1,3,2,5,6,4] => 10100 => [1,2,3]
[1,3,2,6,4,1] => [1,3,2,5,6,4] => 10100 => [1,2,3]
[1,3,4,1,2,6] => [1,4,2,3,5,6] => 10011 => [1,3,1,1]
[1,3,4,1,6,2] => [1,4,2,3,6,5] => 10010 => [1,3,2]
[1,3,4,2,1,6] => [1,4,2,3,5,6] => 10011 => [1,3,1,1]
[1,3,4,2,6,1] => [1,4,2,3,6,5] => 10010 => [1,3,2]
[1,3,4,6,1,2] => [1,5,2,3,6,4] => 10000 => [1,5]
[1,3,4,6,2,1] => [1,5,2,3,6,4] => 10000 => [1,5]
[1,3,6,1,2,4] => [1,4,2,5,6,3] => 10000 => [1,5]
[1,3,6,1,4,2] => [1,4,2,5,6,3] => 10000 => [1,5]
[1,3,6,2,1,4] => [1,4,2,5,6,3] => 10000 => [1,5]
[1,3,6,2,4,1] => [1,4,2,5,6,3] => 10000 => [1,5]
[1,3,6,4,1,2] => [1,5,2,4,6,3] => 10000 => [1,5]
[1,3,6,4,2,1] => [1,5,2,4,6,3] => 10000 => [1,5]
[1,4,1,2,3,6] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,1,2,6,3] => [1,3,4,2,6,5] => 10010 => [1,3,2]
[1,4,1,3,2,6] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,1,3,6,2] => [1,3,4,2,6,5] => 10010 => [1,3,2]
[1,4,1,6,2,3] => [1,3,5,2,6,4] => 10000 => [1,5]
[1,4,1,6,3,2] => [1,3,5,2,6,4] => 10000 => [1,5]
[1,4,2,1,3,6] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,2,1,6,3] => [1,3,4,2,6,5] => 10010 => [1,3,2]
[1,4,2,3,1,6] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,2,3,6,1] => [1,3,4,2,6,5] => 10010 => [1,3,2]
[1,4,2,6,1,3] => [1,3,5,2,6,4] => 10000 => [1,5]
[1,4,2,6,3,1] => [1,3,5,2,6,4] => 10000 => [1,5]
[1,4,3,1,2,6] => [1,4,3,2,5,6] => 10011 => [1,3,1,1]
[1,4,3,1,6,2] => [1,4,3,2,6,5] => 10010 => [1,3,2]
[1,4,3,2,1,6] => [1,4,3,2,5,6] => 10011 => [1,3,1,1]
[1,4,3,2,6,1] => [1,4,3,2,6,5] => 10010 => [1,3,2]
[1,4,3,6,1,2] => [1,5,3,2,6,4] => 10000 => [1,5]
[1,4,3,6,2,1] => [1,5,3,2,6,4] => 10000 => [1,5]
[1,4,6,1,2,3] => [1,4,5,2,6,3] => 10000 => [1,5]
[1,4,6,1,3,2] => [1,4,5,2,6,3] => 10000 => [1,5]
[1,4,6,2,1,3] => [1,4,5,2,6,3] => 10000 => [1,5]
[1,4,6,2,3,1] => [1,4,5,2,6,3] => 10000 => [1,5]
[1,4,6,3,1,2] => [1,5,4,2,6,3] => 10000 => [1,5]
[1,4,6,3,2,1] => [1,5,4,2,6,3] => 10000 => [1,5]
[1,6,1,2,3,4] => [1,3,4,5,6,2] => 10000 => [1,5]
[1,6,1,2,4,3] => [1,3,4,5,6,2] => 10000 => [1,5]
[1,6,1,3,2,4] => [1,3,4,5,6,2] => 10000 => [1,5]
[1,6,1,3,4,2] => [1,3,4,5,6,2] => 10000 => [1,5]
[1,6,1,4,2,3] => [1,3,5,4,6,2] => 10000 => [1,5]
[1,6,1,4,3,2] => [1,3,5,4,6,2] => 10000 => [1,5]
[1,6,2,1,3,4] => [1,3,4,5,6,2] => 10000 => [1,5]
[1,6,2,1,4,3] => [1,3,4,5,6,2] => 10000 => [1,5]
[1,6,2,3,1,4] => [1,3,4,5,6,2] => 10000 => [1,5]
[1,6,2,3,4,1] => [1,3,4,5,6,2] => 10000 => [1,5]
[1,6,2,4,1,3] => [1,3,5,4,6,2] => 10000 => [1,5]
[1,6,2,4,3,1] => [1,3,5,4,6,2] => 10000 => [1,5]
[1,6,3,1,2,4] => [1,4,3,5,6,2] => 10000 => [1,5]
[1,6,3,1,4,2] => [1,4,3,5,6,2] => 10000 => [1,5]
[1,6,3,2,1,4] => [1,4,3,5,6,2] => 10000 => [1,5]
[1,6,3,2,4,1] => [1,4,3,5,6,2] => 10000 => [1,5]
[1,6,3,4,1,2] => [1,5,3,4,6,2] => 10000 => [1,5]
[1,6,3,4,2,1] => [1,5,3,4,6,2] => 10000 => [1,5]
[1,6,4,1,2,3] => [1,4,5,3,6,2] => 10000 => [1,5]
[1,6,4,1,3,2] => [1,4,5,3,6,2] => 10000 => [1,5]
[1,6,4,2,1,3] => [1,4,5,3,6,2] => 10000 => [1,5]
[1,6,4,2,3,1] => [1,4,5,3,6,2] => 10000 => [1,5]
[1,6,4,3,1,2] => [1,5,4,3,6,2] => 10000 => [1,5]
[1,6,4,3,2,1] => [1,5,4,3,6,2] => 10000 => [1,5]
[2,1,1,3,4,6] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,1,3,6,4] => [2,1,3,4,6,5] => 01110 => [2,1,1,2]
[2,1,1,4,3,6] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,1,4,6,3] => [2,1,3,4,6,5] => 01110 => [2,1,1,2]
[2,1,1,6,3,4] => [2,1,3,5,6,4] => 01100 => [2,1,3]
[2,1,1,6,4,3] => [2,1,3,5,6,4] => 01100 => [2,1,3]
[2,1,3,1,4,6] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,3,1,6,4] => [2,1,3,4,6,5] => 01110 => [2,1,1,2]
[2,1,3,4,1,6] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,3,4,6,1] => [2,1,3,4,6,5] => 01110 => [2,1,1,2]
[2,1,3,6,1,4] => [2,1,3,5,6,4] => 01100 => [2,1,3]
[2,1,3,6,4,1] => [2,1,3,5,6,4] => 01100 => [2,1,3]
[2,1,4,1,3,6] => [2,1,4,3,5,6] => 01011 => [2,2,1,1]
[2,1,4,1,6,3] => [2,1,4,3,6,5] => 01010 => [2,2,2]
[2,1,4,3,1,6] => [2,1,4,3,5,6] => 01011 => [2,2,1,1]
[2,1,4,3,6,1] => [2,1,4,3,6,5] => 01010 => [2,2,2]
[2,1,4,6,1,3] => [2,1,5,3,6,4] => 01000 => [2,4]
[2,1,4,6,3,1] => [2,1,5,3,6,4] => 01000 => [2,4]
[2,1,6,1,3,4] => [2,1,4,5,6,3] => 01000 => [2,4]
[2,1,6,1,4,3] => [2,1,4,5,6,3] => 01000 => [2,4]
[2,1,6,3,1,4] => [2,1,4,5,6,3] => 01000 => [2,4]
[2,1,6,3,4,1] => [2,1,4,5,6,3] => 01000 => [2,4]
[2,1,6,4,1,3] => [2,1,5,4,6,3] => 01000 => [2,4]
[2,1,6,4,3,1] => [2,1,5,4,6,3] => 01000 => [2,4]
[2,3,1,1,4,6] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,3,1,1,6,4] => [3,1,2,4,6,5] => 00110 => [3,1,2]
[2,3,1,4,1,6] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,3,1,4,6,1] => [3,1,2,4,6,5] => 00110 => [3,1,2]
[2,3,1,6,1,4] => [3,1,2,5,6,4] => 00100 => [3,3]
[2,3,1,6,4,1] => [3,1,2,5,6,4] => 00100 => [3,3]
[2,3,4,1,1,6] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,3,4,1,6,1] => [4,1,2,3,6,5] => 00010 => [4,2]
[2,3,4,6,1,1] => [5,1,2,3,6,4] => 00000 => [6]
[2,3,6,1,1,4] => [4,1,2,5,6,3] => 00000 => [6]
[2,3,6,1,4,1] => [4,1,2,5,6,3] => 00000 => [6]
[2,3,6,4,1,1] => [5,1,2,4,6,3] => 00000 => [6]
[2,4,1,1,3,6] => [3,1,4,2,5,6] => 00011 => [4,1,1]
[2,4,1,1,6,3] => [3,1,4,2,6,5] => 00010 => [4,2]
[2,4,1,3,1,6] => [3,1,4,2,5,6] => 00011 => [4,1,1]
[2,4,1,3,6,1] => [3,1,4,2,6,5] => 00010 => [4,2]
[2,4,1,6,1,3] => [3,1,5,2,6,4] => 00000 => [6]
[2,4,1,6,3,1] => [3,1,5,2,6,4] => 00000 => [6]
[2,4,3,1,1,6] => [4,1,3,2,5,6] => 00011 => [4,1,1]
[2,4,3,1,6,1] => [4,1,3,2,6,5] => 00010 => [4,2]
[2,4,3,6,1,1] => [5,1,3,2,6,4] => 00000 => [6]
[2,4,6,1,1,3] => [4,1,5,2,6,3] => 00000 => [6]
[2,4,6,1,3,1] => [4,1,5,2,6,3] => 00000 => [6]
[2,4,6,3,1,1] => [5,1,4,2,6,3] => 00000 => [6]
[2,6,1,1,3,4] => [3,1,4,5,6,2] => 00000 => [6]
[2,6,1,1,4,3] => [3,1,4,5,6,2] => 00000 => [6]
[2,6,1,3,1,4] => [3,1,4,5,6,2] => 00000 => [6]
[2,6,1,3,4,1] => [3,1,4,5,6,2] => 00000 => [6]
[2,6,1,4,1,3] => [3,1,5,4,6,2] => 00000 => [6]
[2,6,1,4,3,1] => [3,1,5,4,6,2] => 00000 => [6]
[2,6,3,1,1,4] => [4,1,3,5,6,2] => 00000 => [6]
[2,6,3,1,4,1] => [4,1,3,5,6,2] => 00000 => [6]
[2,6,3,4,1,1] => [5,1,3,4,6,2] => 00000 => [6]
[2,6,4,1,1,3] => [4,1,5,3,6,2] => 00000 => [6]
[2,6,4,1,3,1] => [4,1,5,3,6,2] => 00000 => [6]
[2,6,4,3,1,1] => [5,1,4,3,6,2] => 00000 => [6]
[3,1,1,2,4,6] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,1,2,6,4] => [2,3,1,4,6,5] => 00110 => [3,1,2]
[3,1,1,4,2,6] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,1,4,6,2] => [2,3,1,4,6,5] => 00110 => [3,1,2]
[3,1,1,6,2,4] => [2,3,1,5,6,4] => 00100 => [3,3]
[3,1,1,6,4,2] => [2,3,1,5,6,4] => 00100 => [3,3]
[3,1,2,1,4,6] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,2,1,6,4] => [2,3,1,4,6,5] => 00110 => [3,1,2]
[3,1,2,4,1,6] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,2,4,6,1] => [2,3,1,4,6,5] => 00110 => [3,1,2]
[3,1,2,6,1,4] => [2,3,1,5,6,4] => 00100 => [3,3]
[3,1,2,6,4,1] => [2,3,1,5,6,4] => 00100 => [3,3]
[3,1,4,1,2,6] => [2,4,1,3,5,6] => 00011 => [4,1,1]
[3,1,4,1,6,2] => [2,4,1,3,6,5] => 00010 => [4,2]
[3,1,4,2,1,6] => [2,4,1,3,5,6] => 00011 => [4,1,1]
[3,1,4,2,6,1] => [2,4,1,3,6,5] => 00010 => [4,2]
[3,1,4,6,1,2] => [2,5,1,3,6,4] => 00000 => [6]
[3,1,4,6,2,1] => [2,5,1,3,6,4] => 00000 => [6]
[3,1,6,1,2,4] => [2,4,1,5,6,3] => 00000 => [6]
[3,1,6,1,4,2] => [2,4,1,5,6,3] => 00000 => [6]
[3,1,6,2,1,4] => [2,4,1,5,6,3] => 00000 => [6]
[3,1,6,2,4,1] => [2,4,1,5,6,3] => 00000 => [6]
[3,1,6,4,1,2] => [2,5,1,4,6,3] => 00000 => [6]
[3,1,6,4,2,1] => [2,5,1,4,6,3] => 00000 => [6]
[3,2,1,1,4,6] => [3,2,1,4,5,6] => 00111 => [3,1,1,1]
[3,2,1,1,6,4] => [3,2,1,4,6,5] => 00110 => [3,1,2]
[3,2,1,4,1,6] => [3,2,1,4,5,6] => 00111 => [3,1,1,1]
[3,2,1,4,6,1] => [3,2,1,4,6,5] => 00110 => [3,1,2]
[3,2,1,6,1,4] => [3,2,1,5,6,4] => 00100 => [3,3]
[3,2,1,6,4,1] => [3,2,1,5,6,4] => 00100 => [3,3]
[3,2,4,1,1,6] => [4,2,1,3,5,6] => 00011 => [4,1,1]
[3,2,4,1,6,1] => [4,2,1,3,6,5] => 00010 => [4,2]
[3,2,4,6,1,1] => [5,2,1,3,6,4] => 00000 => [6]
[3,2,6,1,1,4] => [4,2,1,5,6,3] => 00000 => [6]
[3,2,6,1,4,1] => [4,2,1,5,6,3] => 00000 => [6]
[3,2,6,4,1,1] => [5,2,1,4,6,3] => 00000 => [6]
[3,4,1,1,2,6] => [3,4,1,2,5,6] => 00011 => [4,1,1]
[3,4,1,1,6,2] => [3,4,1,2,6,5] => 00010 => [4,2]
[3,4,1,2,1,6] => [3,4,1,2,5,6] => 00011 => [4,1,1]
[3,4,1,2,6,1] => [3,4,1,2,6,5] => 00010 => [4,2]
[3,4,1,6,1,2] => [3,5,1,2,6,4] => 00000 => [6]
[3,4,1,6,2,1] => [3,5,1,2,6,4] => 00000 => [6]
[3,4,2,1,1,6] => [4,3,1,2,5,6] => 00011 => [4,1,1]
[3,4,2,1,6,1] => [4,3,1,2,6,5] => 00010 => [4,2]
[3,4,2,6,1,1] => [5,3,1,2,6,4] => 00000 => [6]
[3,4,6,1,1,2] => [4,5,1,2,6,3] => 00000 => [6]
[3,4,6,1,2,1] => [4,5,1,2,6,3] => 00000 => [6]
[3,4,6,2,1,1] => [5,4,1,2,6,3] => 00000 => [6]
[3,6,1,1,2,4] => [3,4,1,5,6,2] => 00000 => [6]
[3,6,1,1,4,2] => [3,4,1,5,6,2] => 00000 => [6]
[3,6,1,2,1,4] => [3,4,1,5,6,2] => 00000 => [6]
[3,6,1,2,4,1] => [3,4,1,5,6,2] => 00000 => [6]
[3,6,1,4,1,2] => [3,5,1,4,6,2] => 00000 => [6]
[3,6,1,4,2,1] => [3,5,1,4,6,2] => 00000 => [6]
[3,6,2,1,1,4] => [4,3,1,5,6,2] => 00000 => [6]
[3,6,2,1,4,1] => [4,3,1,5,6,2] => 00000 => [6]
[3,6,2,4,1,1] => [5,3,1,4,6,2] => 00000 => [6]
[3,6,4,1,1,2] => [4,5,1,3,6,2] => 00000 => [6]
[3,6,4,1,2,1] => [4,5,1,3,6,2] => 00000 => [6]
[3,6,4,2,1,1] => [5,4,1,3,6,2] => 00000 => [6]
[4,1,1,2,3,6] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,1,2,6,3] => [2,3,4,1,6,5] => 00010 => [4,2]
[4,1,1,3,2,6] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,1,3,6,2] => [2,3,4,1,6,5] => 00010 => [4,2]
[4,1,1,6,2,3] => [2,3,5,1,6,4] => 00000 => [6]
[4,1,1,6,3,2] => [2,3,5,1,6,4] => 00000 => [6]
[4,1,2,1,3,6] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,2,1,6,3] => [2,3,4,1,6,5] => 00010 => [4,2]
[4,1,2,3,1,6] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,2,3,6,1] => [2,3,4,1,6,5] => 00010 => [4,2]
[4,1,2,6,1,3] => [2,3,5,1,6,4] => 00000 => [6]
[4,1,2,6,3,1] => [2,3,5,1,6,4] => 00000 => [6]
[4,1,3,1,2,6] => [2,4,3,1,5,6] => 00011 => [4,1,1]
[4,1,3,1,6,2] => [2,4,3,1,6,5] => 00010 => [4,2]
[4,1,3,2,1,6] => [2,4,3,1,5,6] => 00011 => [4,1,1]
[4,1,3,2,6,1] => [2,4,3,1,6,5] => 00010 => [4,2]
[4,1,3,6,1,2] => [2,5,3,1,6,4] => 00000 => [6]
[4,1,3,6,2,1] => [2,5,3,1,6,4] => 00000 => [6]
[4,1,6,1,2,3] => [2,4,5,1,6,3] => 00000 => [6]
[4,1,6,1,3,2] => [2,4,5,1,6,3] => 00000 => [6]
[4,1,6,2,1,3] => [2,4,5,1,6,3] => 00000 => [6]
[4,1,6,2,3,1] => [2,4,5,1,6,3] => 00000 => [6]
[4,1,6,3,1,2] => [2,5,4,1,6,3] => 00000 => [6]
[4,1,6,3,2,1] => [2,5,4,1,6,3] => 00000 => [6]
[4,2,1,1,3,6] => [3,2,4,1,5,6] => 00011 => [4,1,1]
[4,2,1,1,6,3] => [3,2,4,1,6,5] => 00010 => [4,2]
[4,2,1,3,1,6] => [3,2,4,1,5,6] => 00011 => [4,1,1]
[4,2,1,3,6,1] => [3,2,4,1,6,5] => 00010 => [4,2]
[4,2,1,6,1,3] => [3,2,5,1,6,4] => 00000 => [6]
[4,2,1,6,3,1] => [3,2,5,1,6,4] => 00000 => [6]
[4,2,3,1,1,6] => [4,2,3,1,5,6] => 00011 => [4,1,1]
[4,2,3,1,6,1] => [4,2,3,1,6,5] => 00010 => [4,2]
[4,2,3,6,1,1] => [5,2,3,1,6,4] => 00000 => [6]
[4,2,6,1,1,3] => [4,2,5,1,6,3] => 00000 => [6]
[4,2,6,1,3,1] => [4,2,5,1,6,3] => 00000 => [6]
[4,2,6,3,1,1] => [5,2,4,1,6,3] => 00000 => [6]
[4,3,1,1,2,6] => [3,4,2,1,5,6] => 00011 => [4,1,1]
[4,3,1,1,6,2] => [3,4,2,1,6,5] => 00010 => [4,2]
[4,3,1,2,1,6] => [3,4,2,1,5,6] => 00011 => [4,1,1]
[4,3,1,2,6,1] => [3,4,2,1,6,5] => 00010 => [4,2]
[4,3,1,6,1,2] => [3,5,2,1,6,4] => 00000 => [6]
[4,3,1,6,2,1] => [3,5,2,1,6,4] => 00000 => [6]
[4,3,2,1,1,6] => [4,3,2,1,5,6] => 00011 => [4,1,1]
[4,3,2,1,6,1] => [4,3,2,1,6,5] => 00010 => [4,2]
[4,3,2,6,1,1] => [5,3,2,1,6,4] => 00000 => [6]
[4,3,6,1,1,2] => [4,5,2,1,6,3] => 00000 => [6]
[4,3,6,1,2,1] => [4,5,2,1,6,3] => 00000 => [6]
[4,3,6,2,1,1] => [5,4,2,1,6,3] => 00000 => [6]
[4,6,1,1,2,3] => [3,4,5,1,6,2] => 00000 => [6]
[4,6,1,1,3,2] => [3,4,5,1,6,2] => 00000 => [6]
[4,6,1,2,1,3] => [3,4,5,1,6,2] => 00000 => [6]
[4,6,1,2,3,1] => [3,4,5,1,6,2] => 00000 => [6]
[4,6,1,3,1,2] => [3,5,4,1,6,2] => 00000 => [6]
[4,6,1,3,2,1] => [3,5,4,1,6,2] => 00000 => [6]
[4,6,2,1,1,3] => [4,3,5,1,6,2] => 00000 => [6]
[4,6,2,1,3,1] => [4,3,5,1,6,2] => 00000 => [6]
[4,6,2,3,1,1] => [5,3,4,1,6,2] => 00000 => [6]
[4,6,3,1,1,2] => [4,5,3,1,6,2] => 00000 => [6]
[4,6,3,1,2,1] => [4,5,3,1,6,2] => 00000 => [6]
[4,6,3,2,1,1] => [5,4,3,1,6,2] => 00000 => [6]
[6,1,1,2,3,4] => [2,3,4,5,6,1] => 00000 => [6]
[6,1,1,2,4,3] => [2,3,4,5,6,1] => 00000 => [6]
[6,1,1,3,2,4] => [2,3,4,5,6,1] => 00000 => [6]
[6,1,1,3,4,2] => [2,3,4,5,6,1] => 00000 => [6]
[6,1,1,4,2,3] => [2,3,5,4,6,1] => 00000 => [6]
[6,1,1,4,3,2] => [2,3,5,4,6,1] => 00000 => [6]
[6,1,2,1,3,4] => [2,3,4,5,6,1] => 00000 => [6]
[6,1,2,1,4,3] => [2,3,4,5,6,1] => 00000 => [6]
[6,1,2,3,1,4] => [2,3,4,5,6,1] => 00000 => [6]
[6,1,2,3,4,1] => [2,3,4,5,6,1] => 00000 => [6]
[6,1,2,4,1,3] => [2,3,5,4,6,1] => 00000 => [6]
[6,1,2,4,3,1] => [2,3,5,4,6,1] => 00000 => [6]
[6,1,3,1,2,4] => [2,4,3,5,6,1] => 00000 => [6]
[6,1,3,1,4,2] => [2,4,3,5,6,1] => 00000 => [6]
[6,1,3,2,1,4] => [2,4,3,5,6,1] => 00000 => [6]
[6,1,3,2,4,1] => [2,4,3,5,6,1] => 00000 => [6]
[6,1,3,4,1,2] => [2,5,3,4,6,1] => 00000 => [6]
[6,1,3,4,2,1] => [2,5,3,4,6,1] => 00000 => [6]
[6,1,4,1,2,3] => [2,4,5,3,6,1] => 00000 => [6]
[6,1,4,1,3,2] => [2,4,5,3,6,1] => 00000 => [6]
[6,1,4,2,1,3] => [2,4,5,3,6,1] => 00000 => [6]
[6,1,4,2,3,1] => [2,4,5,3,6,1] => 00000 => [6]
[6,1,4,3,1,2] => [2,5,4,3,6,1] => 00000 => [6]
[6,1,4,3,2,1] => [2,5,4,3,6,1] => 00000 => [6]
[6,2,1,1,3,4] => [3,2,4,5,6,1] => 00000 => [6]
[6,2,1,1,4,3] => [3,2,4,5,6,1] => 00000 => [6]
[6,2,1,3,1,4] => [3,2,4,5,6,1] => 00000 => [6]
[6,2,1,3,4,1] => [3,2,4,5,6,1] => 00000 => [6]
[6,2,1,4,1,3] => [3,2,5,4,6,1] => 00000 => [6]
[6,2,1,4,3,1] => [3,2,5,4,6,1] => 00000 => [6]
[6,2,3,1,1,4] => [4,2,3,5,6,1] => 00000 => [6]
[6,2,3,1,4,1] => [4,2,3,5,6,1] => 00000 => [6]
[6,2,3,4,1,1] => [5,2,3,4,6,1] => 00000 => [6]
[6,2,4,1,1,3] => [4,2,5,3,6,1] => 00000 => [6]
[6,2,4,1,3,1] => [4,2,5,3,6,1] => 00000 => [6]
[6,2,4,3,1,1] => [5,2,4,3,6,1] => 00000 => [6]
[6,3,1,1,2,4] => [3,4,2,5,6,1] => 00000 => [6]
[6,3,1,1,4,2] => [3,4,2,5,6,1] => 00000 => [6]
[6,3,1,2,1,4] => [3,4,2,5,6,1] => 00000 => [6]
[6,3,1,2,4,1] => [3,4,2,5,6,1] => 00000 => [6]
[6,3,1,4,1,2] => [3,5,2,4,6,1] => 00000 => [6]
[6,3,1,4,2,1] => [3,5,2,4,6,1] => 00000 => [6]
[6,3,2,1,1,4] => [4,3,2,5,6,1] => 00000 => [6]
[6,3,2,1,4,1] => [4,3,2,5,6,1] => 00000 => [6]
[6,3,2,4,1,1] => [5,3,2,4,6,1] => 00000 => [6]
[6,3,4,1,1,2] => [4,5,2,3,6,1] => 00000 => [6]
[6,3,4,1,2,1] => [4,5,2,3,6,1] => 00000 => [6]
[6,3,4,2,1,1] => [5,4,2,3,6,1] => 00000 => [6]
[6,4,1,1,2,3] => [3,4,5,2,6,1] => 00000 => [6]
[6,4,1,1,3,2] => [3,4,5,2,6,1] => 00000 => [6]
[6,4,1,2,1,3] => [3,4,5,2,6,1] => 00000 => [6]
[6,4,1,2,3,1] => [3,4,5,2,6,1] => 00000 => [6]
[6,4,1,3,1,2] => [3,5,4,2,6,1] => 00000 => [6]
[6,4,1,3,2,1] => [3,5,4,2,6,1] => 00000 => [6]
[6,4,2,1,1,3] => [4,3,5,2,6,1] => 00000 => [6]
[6,4,2,1,3,1] => [4,3,5,2,6,1] => 00000 => [6]
[6,4,2,3,1,1] => [5,3,4,2,6,1] => 00000 => [6]
[6,4,3,1,1,2] => [4,5,3,2,6,1] => 00000 => [6]
[6,4,3,1,2,1] => [4,5,3,2,6,1] => 00000 => [6]
[6,4,3,2,1,1] => [5,4,3,2,6,1] => 00000 => [6]
[1,1,2,3,5,5] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,2,5,3,5] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,1,2,5,5,3] => [1,2,3,6,4,5] => 11100 => [1,1,1,3]
[1,1,3,2,5,5] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,3,5,2,5] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,1,3,5,5,2] => [1,2,3,6,4,5] => 11100 => [1,1,1,3]
[1,1,5,2,3,5] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,1,5,2,5,3] => [1,2,4,6,3,5] => 11000 => [1,1,4]
[1,1,5,3,2,5] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,1,5,3,5,2] => [1,2,4,6,3,5] => 11000 => [1,1,4]
[1,1,5,5,2,3] => [1,2,5,6,3,4] => 11000 => [1,1,4]
[1,1,5,5,3,2] => [1,2,5,6,3,4] => 11000 => [1,1,4]
[1,2,1,3,5,5] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,1,5,3,5] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,2,1,5,5,3] => [1,2,3,6,4,5] => 11100 => [1,1,1,3]
[1,2,3,1,5,5] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,3,5,1,5] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,2,3,5,5,1] => [1,2,3,6,4,5] => 11100 => [1,1,1,3]
[1,2,5,1,3,5] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,2,5,1,5,3] => [1,2,4,6,3,5] => 11000 => [1,1,4]
[1,2,5,3,1,5] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,2,5,3,5,1] => [1,2,4,6,3,5] => 11000 => [1,1,4]
[1,2,5,5,1,3] => [1,2,5,6,3,4] => 11000 => [1,1,4]
[1,2,5,5,3,1] => [1,2,5,6,3,4] => 11000 => [1,1,4]
[1,3,1,2,5,5] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,1,5,2,5] => [1,3,2,5,4,6] => 10101 => [1,2,2,1]
[1,3,1,5,5,2] => [1,3,2,6,4,5] => 10100 => [1,2,3]
[1,3,2,1,5,5] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,2,5,1,5] => [1,3,2,5,4,6] => 10101 => [1,2,2,1]
[1,3,2,5,5,1] => [1,3,2,6,4,5] => 10100 => [1,2,3]
[1,3,5,1,2,5] => [1,4,2,5,3,6] => 10001 => [1,4,1]
[1,3,5,1,5,2] => [1,4,2,6,3,5] => 10000 => [1,5]
[1,3,5,2,1,5] => [1,4,2,5,3,6] => 10001 => [1,4,1]
[1,3,5,2,5,1] => [1,4,2,6,3,5] => 10000 => [1,5]
[1,3,5,5,1,2] => [1,5,2,6,3,4] => 10000 => [1,5]
[1,3,5,5,2,1] => [1,5,2,6,3,4] => 10000 => [1,5]
[1,5,1,2,3,5] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,1,2,5,3] => [1,3,4,6,2,5] => 10000 => [1,5]
[1,5,1,3,2,5] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,1,3,5,2] => [1,3,4,6,2,5] => 10000 => [1,5]
[1,5,1,5,2,3] => [1,3,5,6,2,4] => 10000 => [1,5]
[1,5,1,5,3,2] => [1,3,5,6,2,4] => 10000 => [1,5]
[1,5,2,1,3,5] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,2,1,5,3] => [1,3,4,6,2,5] => 10000 => [1,5]
[1,5,2,3,1,5] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,2,3,5,1] => [1,3,4,6,2,5] => 10000 => [1,5]
[1,5,2,5,1,3] => [1,3,5,6,2,4] => 10000 => [1,5]
[1,5,2,5,3,1] => [1,3,5,6,2,4] => 10000 => [1,5]
[1,5,3,1,2,5] => [1,4,3,5,2,6] => 10001 => [1,4,1]
[1,5,3,1,5,2] => [1,4,3,6,2,5] => 10000 => [1,5]
[1,5,3,2,1,5] => [1,4,3,5,2,6] => 10001 => [1,4,1]
[1,5,3,2,5,1] => [1,4,3,6,2,5] => 10000 => [1,5]
[1,5,3,5,1,2] => [1,5,3,6,2,4] => 10000 => [1,5]
[1,5,3,5,2,1] => [1,5,3,6,2,4] => 10000 => [1,5]
[1,5,5,1,2,3] => [1,4,5,6,2,3] => 10000 => [1,5]
[1,5,5,1,3,2] => [1,4,5,6,2,3] => 10000 => [1,5]
[1,5,5,2,1,3] => [1,4,5,6,2,3] => 10000 => [1,5]
[1,5,5,2,3,1] => [1,4,5,6,2,3] => 10000 => [1,5]
[1,5,5,3,1,2] => [1,5,4,6,2,3] => 10000 => [1,5]
[1,5,5,3,2,1] => [1,5,4,6,2,3] => 10000 => [1,5]
[2,1,1,3,5,5] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,1,5,3,5] => [2,1,3,5,4,6] => 01101 => [2,1,2,1]
[2,1,1,5,5,3] => [2,1,3,6,4,5] => 01100 => [2,1,3]
[2,1,3,1,5,5] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,3,5,1,5] => [2,1,3,5,4,6] => 01101 => [2,1,2,1]
[2,1,3,5,5,1] => [2,1,3,6,4,5] => 01100 => [2,1,3]
[2,1,5,1,3,5] => [2,1,4,5,3,6] => 01001 => [2,3,1]
[2,1,5,1,5,3] => [2,1,4,6,3,5] => 01000 => [2,4]
[2,1,5,3,1,5] => [2,1,4,5,3,6] => 01001 => [2,3,1]
[2,1,5,3,5,1] => [2,1,4,6,3,5] => 01000 => [2,4]
[2,1,5,5,1,3] => [2,1,5,6,3,4] => 01000 => [2,4]
[2,1,5,5,3,1] => [2,1,5,6,3,4] => 01000 => [2,4]
[2,3,1,1,5,5] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,3,1,5,1,5] => [3,1,2,5,4,6] => 00101 => [3,2,1]
[2,3,1,5,5,1] => [3,1,2,6,4,5] => 00100 => [3,3]
[2,3,5,1,1,5] => [4,1,2,5,3,6] => 00001 => [5,1]
[2,3,5,1,5,1] => [4,1,2,6,3,5] => 00000 => [6]
[2,3,5,5,1,1] => [5,1,2,6,3,4] => 00000 => [6]
[2,5,1,1,3,5] => [3,1,4,5,2,6] => 00001 => [5,1]
[2,5,1,1,5,3] => [3,1,4,6,2,5] => 00000 => [6]
[2,5,1,3,1,5] => [3,1,4,5,2,6] => 00001 => [5,1]
[2,5,1,3,5,1] => [3,1,4,6,2,5] => 00000 => [6]
[2,5,1,5,1,3] => [3,1,5,6,2,4] => 00000 => [6]
[2,5,1,5,3,1] => [3,1,5,6,2,4] => 00000 => [6]
[2,5,3,1,1,5] => [4,1,3,5,2,6] => 00001 => [5,1]
[2,5,3,1,5,1] => [4,1,3,6,2,5] => 00000 => [6]
[2,5,3,5,1,1] => [5,1,3,6,2,4] => 00000 => [6]
[2,5,5,1,1,3] => [4,1,5,6,2,3] => 00000 => [6]
[2,5,5,1,3,1] => [4,1,5,6,2,3] => 00000 => [6]
[2,5,5,3,1,1] => [5,1,4,6,2,3] => 00000 => [6]
[3,1,1,2,5,5] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,1,5,2,5] => [2,3,1,5,4,6] => 00101 => [3,2,1]
[3,1,1,5,5,2] => [2,3,1,6,4,5] => 00100 => [3,3]
[3,1,2,1,5,5] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,2,5,1,5] => [2,3,1,5,4,6] => 00101 => [3,2,1]
[3,1,2,5,5,1] => [2,3,1,6,4,5] => 00100 => [3,3]
[3,1,5,1,2,5] => [2,4,1,5,3,6] => 00001 => [5,1]
[3,1,5,1,5,2] => [2,4,1,6,3,5] => 00000 => [6]
[3,1,5,2,1,5] => [2,4,1,5,3,6] => 00001 => [5,1]
[3,1,5,2,5,1] => [2,4,1,6,3,5] => 00000 => [6]
[3,1,5,5,1,2] => [2,5,1,6,3,4] => 00000 => [6]
[3,1,5,5,2,1] => [2,5,1,6,3,4] => 00000 => [6]
[3,2,1,1,5,5] => [3,2,1,4,5,6] => 00111 => [3,1,1,1]
[3,2,1,5,1,5] => [3,2,1,5,4,6] => 00101 => [3,2,1]
[3,2,1,5,5,1] => [3,2,1,6,4,5] => 00100 => [3,3]
[3,2,5,1,1,5] => [4,2,1,5,3,6] => 00001 => [5,1]
[3,2,5,1,5,1] => [4,2,1,6,3,5] => 00000 => [6]
[3,2,5,5,1,1] => [5,2,1,6,3,4] => 00000 => [6]
[3,5,1,1,2,5] => [3,4,1,5,2,6] => 00001 => [5,1]
[3,5,1,1,5,2] => [3,4,1,6,2,5] => 00000 => [6]
[3,5,1,2,1,5] => [3,4,1,5,2,6] => 00001 => [5,1]
[3,5,1,2,5,1] => [3,4,1,6,2,5] => 00000 => [6]
[3,5,1,5,1,2] => [3,5,1,6,2,4] => 00000 => [6]
[3,5,1,5,2,1] => [3,5,1,6,2,4] => 00000 => [6]
[3,5,2,1,1,5] => [4,3,1,5,2,6] => 00001 => [5,1]
[3,5,2,1,5,1] => [4,3,1,6,2,5] => 00000 => [6]
[3,5,2,5,1,1] => [5,3,1,6,2,4] => 00000 => [6]
[3,5,5,1,1,2] => [4,5,1,6,2,3] => 00000 => [6]
[3,5,5,1,2,1] => [4,5,1,6,2,3] => 00000 => [6]
[3,5,5,2,1,1] => [5,4,1,6,2,3] => 00000 => [6]
[5,1,1,2,3,5] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,1,2,5,3] => [2,3,4,6,1,5] => 00000 => [6]
[5,1,1,3,2,5] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,1,3,5,2] => [2,3,4,6,1,5] => 00000 => [6]
[5,1,1,5,2,3] => [2,3,5,6,1,4] => 00000 => [6]
[5,1,1,5,3,2] => [2,3,5,6,1,4] => 00000 => [6]
[5,1,2,1,3,5] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,2,1,5,3] => [2,3,4,6,1,5] => 00000 => [6]
[5,1,2,3,1,5] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,2,3,5,1] => [2,3,4,6,1,5] => 00000 => [6]
[5,1,2,5,1,3] => [2,3,5,6,1,4] => 00000 => [6]
[5,1,2,5,3,1] => [2,3,5,6,1,4] => 00000 => [6]
[5,1,3,1,2,5] => [2,4,3,5,1,6] => 00001 => [5,1]
[5,1,3,1,5,2] => [2,4,3,6,1,5] => 00000 => [6]
[5,1,3,2,1,5] => [2,4,3,5,1,6] => 00001 => [5,1]
[5,1,3,2,5,1] => [2,4,3,6,1,5] => 00000 => [6]
[5,1,3,5,1,2] => [2,5,3,6,1,4] => 00000 => [6]
[5,1,3,5,2,1] => [2,5,3,6,1,4] => 00000 => [6]
[5,1,5,1,2,3] => [2,4,5,6,1,3] => 00000 => [6]
[5,1,5,1,3,2] => [2,4,5,6,1,3] => 00000 => [6]
[5,1,5,2,1,3] => [2,4,5,6,1,3] => 00000 => [6]
[5,1,5,2,3,1] => [2,4,5,6,1,3] => 00000 => [6]
[5,1,5,3,1,2] => [2,5,4,6,1,3] => 00000 => [6]
[5,1,5,3,2,1] => [2,5,4,6,1,3] => 00000 => [6]
[5,2,1,1,3,5] => [3,2,4,5,1,6] => 00001 => [5,1]
[5,2,1,1,5,3] => [3,2,4,6,1,5] => 00000 => [6]
[5,2,1,3,1,5] => [3,2,4,5,1,6] => 00001 => [5,1]
[5,2,1,3,5,1] => [3,2,4,6,1,5] => 00000 => [6]
[5,2,1,5,1,3] => [3,2,5,6,1,4] => 00000 => [6]
[5,2,1,5,3,1] => [3,2,5,6,1,4] => 00000 => [6]
[5,2,3,1,1,5] => [4,2,3,5,1,6] => 00001 => [5,1]
[5,2,3,1,5,1] => [4,2,3,6,1,5] => 00000 => [6]
[5,2,3,5,1,1] => [5,2,3,6,1,4] => 00000 => [6]
[5,2,5,1,1,3] => [4,2,5,6,1,3] => 00000 => [6]
[5,2,5,1,3,1] => [4,2,5,6,1,3] => 00000 => [6]
[5,2,5,3,1,1] => [5,2,4,6,1,3] => 00000 => [6]
[5,3,1,1,2,5] => [3,4,2,5,1,6] => 00001 => [5,1]
[5,3,1,1,5,2] => [3,4,2,6,1,5] => 00000 => [6]
[5,3,1,2,1,5] => [3,4,2,5,1,6] => 00001 => [5,1]
[5,3,1,2,5,1] => [3,4,2,6,1,5] => 00000 => [6]
[5,3,1,5,1,2] => [3,5,2,6,1,4] => 00000 => [6]
[5,3,1,5,2,1] => [3,5,2,6,1,4] => 00000 => [6]
[5,3,2,1,1,5] => [4,3,2,5,1,6] => 00001 => [5,1]
[5,3,2,1,5,1] => [4,3,2,6,1,5] => 00000 => [6]
[5,3,2,5,1,1] => [5,3,2,6,1,4] => 00000 => [6]
[5,3,5,1,1,2] => [4,5,2,6,1,3] => 00000 => [6]
[5,3,5,1,2,1] => [4,5,2,6,1,3] => 00000 => [6]
[5,3,5,2,1,1] => [5,4,2,6,1,3] => 00000 => [6]
[5,5,1,1,2,3] => [3,4,5,6,1,2] => 00000 => [6]
[5,5,1,1,3,2] => [3,4,5,6,1,2] => 00000 => [6]
[5,5,1,2,1,3] => [3,4,5,6,1,2] => 00000 => [6]
[5,5,1,2,3,1] => [3,4,5,6,1,2] => 00000 => [6]
[5,5,1,3,1,2] => [3,5,4,6,1,2] => 00000 => [6]
[5,5,1,3,2,1] => [3,5,4,6,1,2] => 00000 => [6]
[5,5,2,1,1,3] => [4,3,5,6,1,2] => 00000 => [6]
[5,5,2,1,3,1] => [4,3,5,6,1,2] => 00000 => [6]
[5,5,2,3,1,1] => [5,3,4,6,1,2] => 00000 => [6]
[5,5,3,1,1,2] => [4,5,3,6,1,2] => 00000 => [6]
[5,5,3,1,2,1] => [4,5,3,6,1,2] => 00000 => [6]
[5,5,3,2,1,1] => [5,4,3,6,1,2] => 00000 => [6]
[1,1,2,3,5,6] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,2,3,6,5] => [1,2,3,4,6,5] => 11110 => [1,1,1,1,2]
[1,1,2,5,3,6] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,1,2,5,6,3] => [1,2,3,6,4,5] => 11100 => [1,1,1,3]
[1,1,2,6,3,5] => [1,2,3,5,6,4] => 11100 => [1,1,1,3]
[1,1,2,6,5,3] => [1,2,3,6,5,4] => 11100 => [1,1,1,3]
[1,1,3,2,5,6] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,3,2,6,5] => [1,2,3,4,6,5] => 11110 => [1,1,1,1,2]
[1,1,3,5,2,6] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,1,3,5,6,2] => [1,2,3,6,4,5] => 11100 => [1,1,1,3]
[1,1,3,6,2,5] => [1,2,3,5,6,4] => 11100 => [1,1,1,3]
[1,1,3,6,5,2] => [1,2,3,6,5,4] => 11100 => [1,1,1,3]
[1,1,5,2,3,6] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,1,5,2,6,3] => [1,2,4,6,3,5] => 11000 => [1,1,4]
[1,1,5,3,2,6] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,1,5,3,6,2] => [1,2,4,6,3,5] => 11000 => [1,1,4]
[1,1,5,6,2,3] => [1,2,5,6,3,4] => 11000 => [1,1,4]
[1,1,5,6,3,2] => [1,2,5,6,3,4] => 11000 => [1,1,4]
[1,1,6,2,3,5] => [1,2,4,5,6,3] => 11000 => [1,1,4]
[1,1,6,2,5,3] => [1,2,4,6,5,3] => 11000 => [1,1,4]
[1,1,6,3,2,5] => [1,2,4,5,6,3] => 11000 => [1,1,4]
[1,1,6,3,5,2] => [1,2,4,6,5,3] => 11000 => [1,1,4]
[1,1,6,5,2,3] => [1,2,5,6,4,3] => 11000 => [1,1,4]
[1,1,6,5,3,2] => [1,2,5,6,4,3] => 11000 => [1,1,4]
[1,2,1,3,5,6] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,1,3,6,5] => [1,2,3,4,6,5] => 11110 => [1,1,1,1,2]
[1,2,1,5,3,6] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,2,1,5,6,3] => [1,2,3,6,4,5] => 11100 => [1,1,1,3]
[1,2,1,6,3,5] => [1,2,3,5,6,4] => 11100 => [1,1,1,3]
[1,2,1,6,5,3] => [1,2,3,6,5,4] => 11100 => [1,1,1,3]
[1,2,3,1,5,6] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,3,1,6,5] => [1,2,3,4,6,5] => 11110 => [1,1,1,1,2]
[1,2,3,5,1,6] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,2,3,5,6,1] => [1,2,3,6,4,5] => 11100 => [1,1,1,3]
[1,2,3,6,1,5] => [1,2,3,5,6,4] => 11100 => [1,1,1,3]
[1,2,3,6,5,1] => [1,2,3,6,5,4] => 11100 => [1,1,1,3]
[1,2,5,1,3,6] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,2,5,1,6,3] => [1,2,4,6,3,5] => 11000 => [1,1,4]
[1,2,5,3,1,6] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,2,5,3,6,1] => [1,2,4,6,3,5] => 11000 => [1,1,4]
[1,2,5,6,1,3] => [1,2,5,6,3,4] => 11000 => [1,1,4]
[1,2,5,6,3,1] => [1,2,5,6,3,4] => 11000 => [1,1,4]
[1,2,6,1,3,5] => [1,2,4,5,6,3] => 11000 => [1,1,4]
[1,2,6,1,5,3] => [1,2,4,6,5,3] => 11000 => [1,1,4]
[1,2,6,3,1,5] => [1,2,4,5,6,3] => 11000 => [1,1,4]
[1,2,6,3,5,1] => [1,2,4,6,5,3] => 11000 => [1,1,4]
[1,2,6,5,1,3] => [1,2,5,6,4,3] => 11000 => [1,1,4]
[1,2,6,5,3,1] => [1,2,5,6,4,3] => 11000 => [1,1,4]
[1,3,1,2,5,6] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,1,2,6,5] => [1,3,2,4,6,5] => 10110 => [1,2,1,2]
[1,3,1,5,2,6] => [1,3,2,5,4,6] => 10101 => [1,2,2,1]
[1,3,1,5,6,2] => [1,3,2,6,4,5] => 10100 => [1,2,3]
[1,3,1,6,2,5] => [1,3,2,5,6,4] => 10100 => [1,2,3]
[1,3,1,6,5,2] => [1,3,2,6,5,4] => 10100 => [1,2,3]
[1,3,2,1,5,6] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,2,1,6,5] => [1,3,2,4,6,5] => 10110 => [1,2,1,2]
[1,3,2,5,1,6] => [1,3,2,5,4,6] => 10101 => [1,2,2,1]
[1,3,2,5,6,1] => [1,3,2,6,4,5] => 10100 => [1,2,3]
[1,3,2,6,1,5] => [1,3,2,5,6,4] => 10100 => [1,2,3]
[1,3,2,6,5,1] => [1,3,2,6,5,4] => 10100 => [1,2,3]
[1,3,5,1,2,6] => [1,4,2,5,3,6] => 10001 => [1,4,1]
[1,3,5,1,6,2] => [1,4,2,6,3,5] => 10000 => [1,5]
[1,3,5,2,1,6] => [1,4,2,5,3,6] => 10001 => [1,4,1]
[1,3,5,2,6,1] => [1,4,2,6,3,5] => 10000 => [1,5]
[1,3,5,6,1,2] => [1,5,2,6,3,4] => 10000 => [1,5]
[1,3,5,6,2,1] => [1,5,2,6,3,4] => 10000 => [1,5]
[1,3,6,1,2,5] => [1,4,2,5,6,3] => 10000 => [1,5]
[1,3,6,1,5,2] => [1,4,2,6,5,3] => 10000 => [1,5]
[1,3,6,2,1,5] => [1,4,2,5,6,3] => 10000 => [1,5]
[1,3,6,2,5,1] => [1,4,2,6,5,3] => 10000 => [1,5]
[1,3,6,5,1,2] => [1,5,2,6,4,3] => 10000 => [1,5]
[1,3,6,5,2,1] => [1,5,2,6,4,3] => 10000 => [1,5]
[1,5,1,2,3,6] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,1,2,6,3] => [1,3,4,6,2,5] => 10000 => [1,5]
[1,5,1,3,2,6] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,1,3,6,2] => [1,3,4,6,2,5] => 10000 => [1,5]
[1,5,1,6,2,3] => [1,3,5,6,2,4] => 10000 => [1,5]
[1,5,1,6,3,2] => [1,3,5,6,2,4] => 10000 => [1,5]
[1,5,2,1,3,6] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,2,1,6,3] => [1,3,4,6,2,5] => 10000 => [1,5]
[1,5,2,3,1,6] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,2,3,6,1] => [1,3,4,6,2,5] => 10000 => [1,5]
[1,5,2,6,1,3] => [1,3,5,6,2,4] => 10000 => [1,5]
[1,5,2,6,3,1] => [1,3,5,6,2,4] => 10000 => [1,5]
[1,5,3,1,2,6] => [1,4,3,5,2,6] => 10001 => [1,4,1]
[1,5,3,1,6,2] => [1,4,3,6,2,5] => 10000 => [1,5]
[1,5,3,2,1,6] => [1,4,3,5,2,6] => 10001 => [1,4,1]
[1,5,3,2,6,1] => [1,4,3,6,2,5] => 10000 => [1,5]
[1,5,3,6,1,2] => [1,5,3,6,2,4] => 10000 => [1,5]
[1,5,3,6,2,1] => [1,5,3,6,2,4] => 10000 => [1,5]
[1,5,6,1,2,3] => [1,4,5,6,2,3] => 10000 => [1,5]
[1,5,6,1,3,2] => [1,4,5,6,2,3] => 10000 => [1,5]
[1,5,6,2,1,3] => [1,4,5,6,2,3] => 10000 => [1,5]
[1,5,6,2,3,1] => [1,4,5,6,2,3] => 10000 => [1,5]
[1,5,6,3,1,2] => [1,5,4,6,2,3] => 10000 => [1,5]
[1,5,6,3,2,1] => [1,5,4,6,2,3] => 10000 => [1,5]
[1,6,1,2,3,5] => [1,3,4,5,6,2] => 10000 => [1,5]
[1,6,1,2,5,3] => [1,3,4,6,5,2] => 10000 => [1,5]
[1,6,1,3,2,5] => [1,3,4,5,6,2] => 10000 => [1,5]
[1,6,1,3,5,2] => [1,3,4,6,5,2] => 10000 => [1,5]
[1,6,1,5,2,3] => [1,3,5,6,4,2] => 10000 => [1,5]
[1,6,1,5,3,2] => [1,3,5,6,4,2] => 10000 => [1,5]
[1,6,2,1,3,5] => [1,3,4,5,6,2] => 10000 => [1,5]
[1,6,2,1,5,3] => [1,3,4,6,5,2] => 10000 => [1,5]
[1,6,2,3,1,5] => [1,3,4,5,6,2] => 10000 => [1,5]
[1,6,2,3,5,1] => [1,3,4,6,5,2] => 10000 => [1,5]
[1,6,2,5,1,3] => [1,3,5,6,4,2] => 10000 => [1,5]
[1,6,2,5,3,1] => [1,3,5,6,4,2] => 10000 => [1,5]
[1,6,3,1,2,5] => [1,4,3,5,6,2] => 10000 => [1,5]
[1,6,3,1,5,2] => [1,4,3,6,5,2] => 10000 => [1,5]
[1,6,3,2,1,5] => [1,4,3,5,6,2] => 10000 => [1,5]
[1,6,3,2,5,1] => [1,4,3,6,5,2] => 10000 => [1,5]
[1,6,3,5,1,2] => [1,5,3,6,4,2] => 10000 => [1,5]
[1,6,3,5,2,1] => [1,5,3,6,4,2] => 10000 => [1,5]
[1,6,5,1,2,3] => [1,4,5,6,3,2] => 10000 => [1,5]
[1,6,5,1,3,2] => [1,4,5,6,3,2] => 10000 => [1,5]
[1,6,5,2,1,3] => [1,4,5,6,3,2] => 10000 => [1,5]
[1,6,5,2,3,1] => [1,4,5,6,3,2] => 10000 => [1,5]
[1,6,5,3,1,2] => [1,5,4,6,3,2] => 10000 => [1,5]
[1,6,5,3,2,1] => [1,5,4,6,3,2] => 10000 => [1,5]
[2,1,1,3,5,6] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,1,3,6,5] => [2,1,3,4,6,5] => 01110 => [2,1,1,2]
[2,1,1,5,3,6] => [2,1,3,5,4,6] => 01101 => [2,1,2,1]
[2,1,1,5,6,3] => [2,1,3,6,4,5] => 01100 => [2,1,3]
[2,1,1,6,3,5] => [2,1,3,5,6,4] => 01100 => [2,1,3]
[2,1,1,6,5,3] => [2,1,3,6,5,4] => 01100 => [2,1,3]
[2,1,3,1,5,6] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,3,1,6,5] => [2,1,3,4,6,5] => 01110 => [2,1,1,2]
[2,1,3,5,1,6] => [2,1,3,5,4,6] => 01101 => [2,1,2,1]
[2,1,3,5,6,1] => [2,1,3,6,4,5] => 01100 => [2,1,3]
[2,1,3,6,1,5] => [2,1,3,5,6,4] => 01100 => [2,1,3]
[2,1,3,6,5,1] => [2,1,3,6,5,4] => 01100 => [2,1,3]
[2,1,5,1,3,6] => [2,1,4,5,3,6] => 01001 => [2,3,1]
[2,1,5,1,6,3] => [2,1,4,6,3,5] => 01000 => [2,4]
[2,1,5,3,1,6] => [2,1,4,5,3,6] => 01001 => [2,3,1]
[2,1,5,3,6,1] => [2,1,4,6,3,5] => 01000 => [2,4]
[2,1,5,6,1,3] => [2,1,5,6,3,4] => 01000 => [2,4]
[2,1,5,6,3,1] => [2,1,5,6,3,4] => 01000 => [2,4]
[2,1,6,1,3,5] => [2,1,4,5,6,3] => 01000 => [2,4]
[2,1,6,1,5,3] => [2,1,4,6,5,3] => 01000 => [2,4]
[2,1,6,3,1,5] => [2,1,4,5,6,3] => 01000 => [2,4]
[2,1,6,3,5,1] => [2,1,4,6,5,3] => 01000 => [2,4]
[2,1,6,5,1,3] => [2,1,5,6,4,3] => 01000 => [2,4]
[2,1,6,5,3,1] => [2,1,5,6,4,3] => 01000 => [2,4]
[2,3,1,1,5,6] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,3,1,1,6,5] => [3,1,2,4,6,5] => 00110 => [3,1,2]
[2,3,1,5,1,6] => [3,1,2,5,4,6] => 00101 => [3,2,1]
[2,3,1,5,6,1] => [3,1,2,6,4,5] => 00100 => [3,3]
[2,3,1,6,1,5] => [3,1,2,5,6,4] => 00100 => [3,3]
[2,3,1,6,5,1] => [3,1,2,6,5,4] => 00100 => [3,3]
[2,3,5,1,1,6] => [4,1,2,5,3,6] => 00001 => [5,1]
[2,3,5,1,6,1] => [4,1,2,6,3,5] => 00000 => [6]
[2,3,5,6,1,1] => [5,1,2,6,3,4] => 00000 => [6]
[2,3,6,1,1,5] => [4,1,2,5,6,3] => 00000 => [6]
[2,3,6,1,5,1] => [4,1,2,6,5,3] => 00000 => [6]
[2,3,6,5,1,1] => [5,1,2,6,4,3] => 00000 => [6]
[2,5,1,1,3,6] => [3,1,4,5,2,6] => 00001 => [5,1]
[2,5,1,1,6,3] => [3,1,4,6,2,5] => 00000 => [6]
[2,5,1,3,1,6] => [3,1,4,5,2,6] => 00001 => [5,1]
[2,5,1,3,6,1] => [3,1,4,6,2,5] => 00000 => [6]
[2,5,1,6,1,3] => [3,1,5,6,2,4] => 00000 => [6]
[2,5,1,6,3,1] => [3,1,5,6,2,4] => 00000 => [6]
[2,5,3,1,1,6] => [4,1,3,5,2,6] => 00001 => [5,1]
[2,5,3,1,6,1] => [4,1,3,6,2,5] => 00000 => [6]
[2,5,3,6,1,1] => [5,1,3,6,2,4] => 00000 => [6]
[2,5,6,1,1,3] => [4,1,5,6,2,3] => 00000 => [6]
[2,5,6,1,3,1] => [4,1,5,6,2,3] => 00000 => [6]
[2,5,6,3,1,1] => [5,1,4,6,2,3] => 00000 => [6]
[2,6,1,1,3,5] => [3,1,4,5,6,2] => 00000 => [6]
[2,6,1,1,5,3] => [3,1,4,6,5,2] => 00000 => [6]
[2,6,1,3,1,5] => [3,1,4,5,6,2] => 00000 => [6]
[2,6,1,3,5,1] => [3,1,4,6,5,2] => 00000 => [6]
[2,6,1,5,1,3] => [3,1,5,6,4,2] => 00000 => [6]
[2,6,1,5,3,1] => [3,1,5,6,4,2] => 00000 => [6]
[2,6,3,1,1,5] => [4,1,3,5,6,2] => 00000 => [6]
[2,6,3,1,5,1] => [4,1,3,6,5,2] => 00000 => [6]
[2,6,3,5,1,1] => [5,1,3,6,4,2] => 00000 => [6]
[2,6,5,1,1,3] => [4,1,5,6,3,2] => 00000 => [6]
[2,6,5,1,3,1] => [4,1,5,6,3,2] => 00000 => [6]
[2,6,5,3,1,1] => [5,1,4,6,3,2] => 00000 => [6]
[3,1,1,2,5,6] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,1,2,6,5] => [2,3,1,4,6,5] => 00110 => [3,1,2]
[3,1,1,5,2,6] => [2,3,1,5,4,6] => 00101 => [3,2,1]
[3,1,1,5,6,2] => [2,3,1,6,4,5] => 00100 => [3,3]
[3,1,1,6,2,5] => [2,3,1,5,6,4] => 00100 => [3,3]
[3,1,1,6,5,2] => [2,3,1,6,5,4] => 00100 => [3,3]
[3,1,2,1,5,6] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,2,1,6,5] => [2,3,1,4,6,5] => 00110 => [3,1,2]
[3,1,2,5,1,6] => [2,3,1,5,4,6] => 00101 => [3,2,1]
[3,1,2,5,6,1] => [2,3,1,6,4,5] => 00100 => [3,3]
[3,1,2,6,1,5] => [2,3,1,5,6,4] => 00100 => [3,3]
[3,1,2,6,5,1] => [2,3,1,6,5,4] => 00100 => [3,3]
[3,1,5,1,2,6] => [2,4,1,5,3,6] => 00001 => [5,1]
[3,1,5,1,6,2] => [2,4,1,6,3,5] => 00000 => [6]
[3,1,5,2,1,6] => [2,4,1,5,3,6] => 00001 => [5,1]
[3,1,5,2,6,1] => [2,4,1,6,3,5] => 00000 => [6]
[3,1,5,6,1,2] => [2,5,1,6,3,4] => 00000 => [6]
[3,1,5,6,2,1] => [2,5,1,6,3,4] => 00000 => [6]
[3,1,6,1,2,5] => [2,4,1,5,6,3] => 00000 => [6]
[3,1,6,1,5,2] => [2,4,1,6,5,3] => 00000 => [6]
[3,1,6,2,1,5] => [2,4,1,5,6,3] => 00000 => [6]
[3,1,6,2,5,1] => [2,4,1,6,5,3] => 00000 => [6]
[3,1,6,5,1,2] => [2,5,1,6,4,3] => 00000 => [6]
[3,1,6,5,2,1] => [2,5,1,6,4,3] => 00000 => [6]
[3,2,1,1,5,6] => [3,2,1,4,5,6] => 00111 => [3,1,1,1]
[3,2,1,1,6,5] => [3,2,1,4,6,5] => 00110 => [3,1,2]
[3,2,1,5,1,6] => [3,2,1,5,4,6] => 00101 => [3,2,1]
[3,2,1,5,6,1] => [3,2,1,6,4,5] => 00100 => [3,3]
[3,2,1,6,1,5] => [3,2,1,5,6,4] => 00100 => [3,3]
[3,2,1,6,5,1] => [3,2,1,6,5,4] => 00100 => [3,3]
[3,2,5,1,1,6] => [4,2,1,5,3,6] => 00001 => [5,1]
[3,2,5,1,6,1] => [4,2,1,6,3,5] => 00000 => [6]
[3,2,5,6,1,1] => [5,2,1,6,3,4] => 00000 => [6]
[3,2,6,1,1,5] => [4,2,1,5,6,3] => 00000 => [6]
[3,2,6,1,5,1] => [4,2,1,6,5,3] => 00000 => [6]
[3,2,6,5,1,1] => [5,2,1,6,4,3] => 00000 => [6]
[3,5,1,1,2,6] => [3,4,1,5,2,6] => 00001 => [5,1]
[3,5,1,1,6,2] => [3,4,1,6,2,5] => 00000 => [6]
[3,5,1,2,1,6] => [3,4,1,5,2,6] => 00001 => [5,1]
[3,5,1,2,6,1] => [3,4,1,6,2,5] => 00000 => [6]
[3,5,1,6,1,2] => [3,5,1,6,2,4] => 00000 => [6]
[3,5,1,6,2,1] => [3,5,1,6,2,4] => 00000 => [6]
[3,5,2,1,1,6] => [4,3,1,5,2,6] => 00001 => [5,1]
[3,5,2,1,6,1] => [4,3,1,6,2,5] => 00000 => [6]
[3,5,2,6,1,1] => [5,3,1,6,2,4] => 00000 => [6]
[3,5,6,1,1,2] => [4,5,1,6,2,3] => 00000 => [6]
[3,5,6,1,2,1] => [4,5,1,6,2,3] => 00000 => [6]
[3,5,6,2,1,1] => [5,4,1,6,2,3] => 00000 => [6]
[3,6,1,1,2,5] => [3,4,1,5,6,2] => 00000 => [6]
[3,6,1,1,5,2] => [3,4,1,6,5,2] => 00000 => [6]
[3,6,1,2,1,5] => [3,4,1,5,6,2] => 00000 => [6]
[3,6,1,2,5,1] => [3,4,1,6,5,2] => 00000 => [6]
[3,6,1,5,1,2] => [3,5,1,6,4,2] => 00000 => [6]
[3,6,1,5,2,1] => [3,5,1,6,4,2] => 00000 => [6]
[3,6,2,1,1,5] => [4,3,1,5,6,2] => 00000 => [6]
[3,6,2,1,5,1] => [4,3,1,6,5,2] => 00000 => [6]
[3,6,2,5,1,1] => [5,3,1,6,4,2] => 00000 => [6]
[3,6,5,1,1,2] => [4,5,1,6,3,2] => 00000 => [6]
[3,6,5,1,2,1] => [4,5,1,6,3,2] => 00000 => [6]
[3,6,5,2,1,1] => [5,4,1,6,3,2] => 00000 => [6]
[5,1,1,2,3,6] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,1,2,6,3] => [2,3,4,6,1,5] => 00000 => [6]
[5,1,1,3,2,6] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,1,3,6,2] => [2,3,4,6,1,5] => 00000 => [6]
[5,1,1,6,2,3] => [2,3,5,6,1,4] => 00000 => [6]
[5,1,1,6,3,2] => [2,3,5,6,1,4] => 00000 => [6]
[5,1,2,1,3,6] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,2,1,6,3] => [2,3,4,6,1,5] => 00000 => [6]
[5,1,2,3,1,6] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,2,3,6,1] => [2,3,4,6,1,5] => 00000 => [6]
[5,1,2,6,1,3] => [2,3,5,6,1,4] => 00000 => [6]
[5,1,2,6,3,1] => [2,3,5,6,1,4] => 00000 => [6]
[5,1,3,1,2,6] => [2,4,3,5,1,6] => 00001 => [5,1]
[5,1,3,1,6,2] => [2,4,3,6,1,5] => 00000 => [6]
[5,1,3,2,1,6] => [2,4,3,5,1,6] => 00001 => [5,1]
[5,1,3,2,6,1] => [2,4,3,6,1,5] => 00000 => [6]
[5,1,3,6,1,2] => [2,5,3,6,1,4] => 00000 => [6]
[5,1,3,6,2,1] => [2,5,3,6,1,4] => 00000 => [6]
[5,1,6,1,2,3] => [2,4,5,6,1,3] => 00000 => [6]
[5,1,6,1,3,2] => [2,4,5,6,1,3] => 00000 => [6]
[5,1,6,2,1,3] => [2,4,5,6,1,3] => 00000 => [6]
[5,1,6,2,3,1] => [2,4,5,6,1,3] => 00000 => [6]
[5,1,6,3,1,2] => [2,5,4,6,1,3] => 00000 => [6]
[5,1,6,3,2,1] => [2,5,4,6,1,3] => 00000 => [6]
[5,2,1,1,3,6] => [3,2,4,5,1,6] => 00001 => [5,1]
[5,2,1,1,6,3] => [3,2,4,6,1,5] => 00000 => [6]
[5,2,1,3,1,6] => [3,2,4,5,1,6] => 00001 => [5,1]
[5,2,1,3,6,1] => [3,2,4,6,1,5] => 00000 => [6]
[5,2,1,6,1,3] => [3,2,5,6,1,4] => 00000 => [6]
[5,2,1,6,3,1] => [3,2,5,6,1,4] => 00000 => [6]
[5,2,3,1,1,6] => [4,2,3,5,1,6] => 00001 => [5,1]
[5,2,3,1,6,1] => [4,2,3,6,1,5] => 00000 => [6]
[5,2,3,6,1,1] => [5,2,3,6,1,4] => 00000 => [6]
[5,2,6,1,1,3] => [4,2,5,6,1,3] => 00000 => [6]
[5,2,6,1,3,1] => [4,2,5,6,1,3] => 00000 => [6]
[5,2,6,3,1,1] => [5,2,4,6,1,3] => 00000 => [6]
[5,3,1,1,2,6] => [3,4,2,5,1,6] => 00001 => [5,1]
[5,3,1,1,6,2] => [3,4,2,6,1,5] => 00000 => [6]
[5,3,1,2,1,6] => [3,4,2,5,1,6] => 00001 => [5,1]
[5,3,1,2,6,1] => [3,4,2,6,1,5] => 00000 => [6]
[5,3,1,6,1,2] => [3,5,2,6,1,4] => 00000 => [6]
[5,3,1,6,2,1] => [3,5,2,6,1,4] => 00000 => [6]
[5,3,2,1,1,6] => [4,3,2,5,1,6] => 00001 => [5,1]
[5,3,2,1,6,1] => [4,3,2,6,1,5] => 00000 => [6]
[5,3,2,6,1,1] => [5,3,2,6,1,4] => 00000 => [6]
[5,3,6,1,1,2] => [4,5,2,6,1,3] => 00000 => [6]
[5,3,6,1,2,1] => [4,5,2,6,1,3] => 00000 => [6]
[5,3,6,2,1,1] => [5,4,2,6,1,3] => 00000 => [6]
[5,6,1,1,2,3] => [3,4,5,6,1,2] => 00000 => [6]
[5,6,1,1,3,2] => [3,4,5,6,1,2] => 00000 => [6]
[5,6,1,2,1,3] => [3,4,5,6,1,2] => 00000 => [6]
[5,6,1,2,3,1] => [3,4,5,6,1,2] => 00000 => [6]
[5,6,1,3,1,2] => [3,5,4,6,1,2] => 00000 => [6]
[5,6,1,3,2,1] => [3,5,4,6,1,2] => 00000 => [6]
[5,6,2,1,1,3] => [4,3,5,6,1,2] => 00000 => [6]
[5,6,2,1,3,1] => [4,3,5,6,1,2] => 00000 => [6]
[5,6,2,3,1,1] => [5,3,4,6,1,2] => 00000 => [6]
[5,6,3,1,1,2] => [4,5,3,6,1,2] => 00000 => [6]
[5,6,3,1,2,1] => [4,5,3,6,1,2] => 00000 => [6]
[5,6,3,2,1,1] => [5,4,3,6,1,2] => 00000 => [6]
[6,1,1,2,3,5] => [2,3,4,5,6,1] => 00000 => [6]
[6,1,1,2,5,3] => [2,3,4,6,5,1] => 00000 => [6]
[6,1,1,3,2,5] => [2,3,4,5,6,1] => 00000 => [6]
[6,1,1,3,5,2] => [2,3,4,6,5,1] => 00000 => [6]
[6,1,1,5,2,3] => [2,3,5,6,4,1] => 00000 => [6]
[6,1,1,5,3,2] => [2,3,5,6,4,1] => 00000 => [6]
[6,1,2,1,3,5] => [2,3,4,5,6,1] => 00000 => [6]
[6,1,2,1,5,3] => [2,3,4,6,5,1] => 00000 => [6]
[6,1,2,3,1,5] => [2,3,4,5,6,1] => 00000 => [6]
[6,1,2,3,5,1] => [2,3,4,6,5,1] => 00000 => [6]
[6,1,2,5,1,3] => [2,3,5,6,4,1] => 00000 => [6]
[6,1,2,5,3,1] => [2,3,5,6,4,1] => 00000 => [6]
[6,1,3,1,2,5] => [2,4,3,5,6,1] => 00000 => [6]
[6,1,3,1,5,2] => [2,4,3,6,5,1] => 00000 => [6]
[6,1,3,2,1,5] => [2,4,3,5,6,1] => 00000 => [6]
[6,1,3,2,5,1] => [2,4,3,6,5,1] => 00000 => [6]
[6,1,3,5,1,2] => [2,5,3,6,4,1] => 00000 => [6]
[6,1,3,5,2,1] => [2,5,3,6,4,1] => 00000 => [6]
[6,1,5,1,2,3] => [2,4,5,6,3,1] => 00000 => [6]
[6,1,5,1,3,2] => [2,4,5,6,3,1] => 00000 => [6]
[6,1,5,2,1,3] => [2,4,5,6,3,1] => 00000 => [6]
[6,1,5,2,3,1] => [2,4,5,6,3,1] => 00000 => [6]
[6,1,5,3,1,2] => [2,5,4,6,3,1] => 00000 => [6]
[6,1,5,3,2,1] => [2,5,4,6,3,1] => 00000 => [6]
[6,2,1,1,3,5] => [3,2,4,5,6,1] => 00000 => [6]
[6,2,1,1,5,3] => [3,2,4,6,5,1] => 00000 => [6]
[6,2,1,3,1,5] => [3,2,4,5,6,1] => 00000 => [6]
[6,2,1,3,5,1] => [3,2,4,6,5,1] => 00000 => [6]
[6,2,1,5,1,3] => [3,2,5,6,4,1] => 00000 => [6]
[6,2,1,5,3,1] => [3,2,5,6,4,1] => 00000 => [6]
[6,2,3,1,1,5] => [4,2,3,5,6,1] => 00000 => [6]
[6,2,3,1,5,1] => [4,2,3,6,5,1] => 00000 => [6]
[6,2,3,5,1,1] => [5,2,3,6,4,1] => 00000 => [6]
[6,2,5,1,1,3] => [4,2,5,6,3,1] => 00000 => [6]
[6,2,5,1,3,1] => [4,2,5,6,3,1] => 00000 => [6]
[6,2,5,3,1,1] => [5,2,4,6,3,1] => 00000 => [6]
[6,3,1,1,2,5] => [3,4,2,5,6,1] => 00000 => [6]
[6,3,1,1,5,2] => [3,4,2,6,5,1] => 00000 => [6]
[6,3,1,2,1,5] => [3,4,2,5,6,1] => 00000 => [6]
[6,3,1,2,5,1] => [3,4,2,6,5,1] => 00000 => [6]
[6,3,1,5,1,2] => [3,5,2,6,4,1] => 00000 => [6]
[6,3,1,5,2,1] => [3,5,2,6,4,1] => 00000 => [6]
[6,3,2,1,1,5] => [4,3,2,5,6,1] => 00000 => [6]
[6,3,2,1,5,1] => [4,3,2,6,5,1] => 00000 => [6]
[6,3,2,5,1,1] => [5,3,2,6,4,1] => 00000 => [6]
[6,3,5,1,1,2] => [4,5,2,6,3,1] => 00000 => [6]
[6,3,5,1,2,1] => [4,5,2,6,3,1] => 00000 => [6]
[6,3,5,2,1,1] => [5,4,2,6,3,1] => 00000 => [6]
[6,5,1,1,2,3] => [3,4,5,6,2,1] => 00000 => [6]
[6,5,1,1,3,2] => [3,4,5,6,2,1] => 00000 => [6]
[6,5,1,2,1,3] => [3,4,5,6,2,1] => 00000 => [6]
[6,5,1,2,3,1] => [3,4,5,6,2,1] => 00000 => [6]
[6,5,1,3,1,2] => [3,5,4,6,2,1] => 00000 => [6]
[6,5,1,3,2,1] => [3,5,4,6,2,1] => 00000 => [6]
[6,5,2,1,1,3] => [4,3,5,6,2,1] => 00000 => [6]
[6,5,2,1,3,1] => [4,3,5,6,2,1] => 00000 => [6]
[6,5,2,3,1,1] => [5,3,4,6,2,1] => 00000 => [6]
[6,5,3,1,1,2] => [4,5,3,6,2,1] => 00000 => [6]
[6,5,3,1,2,1] => [4,5,3,6,2,1] => 00000 => [6]
[6,5,3,2,1,1] => [5,4,3,6,2,1] => 00000 => [6]
[1,1,2,4,4,4] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,4,2,4,4] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,1,4,4,2,4] => [1,2,5,3,4,6] => 11001 => [1,1,3,1]
[1,1,4,4,4,2] => [1,2,6,3,4,5] => 11000 => [1,1,4]
[1,2,1,4,4,4] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,4,1,4,4] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,2,4,4,1,4] => [1,2,5,3,4,6] => 11001 => [1,1,3,1]
[1,2,4,4,4,1] => [1,2,6,3,4,5] => 11000 => [1,1,4]
[1,4,1,2,4,4] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,1,4,2,4] => [1,3,5,2,4,6] => 10001 => [1,4,1]
[1,4,1,4,4,2] => [1,3,6,2,4,5] => 10000 => [1,5]
[1,4,2,1,4,4] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,2,4,1,4] => [1,3,5,2,4,6] => 10001 => [1,4,1]
[1,4,2,4,4,1] => [1,3,6,2,4,5] => 10000 => [1,5]
[1,4,4,1,2,4] => [1,4,5,2,3,6] => 10001 => [1,4,1]
[1,4,4,1,4,2] => [1,4,6,2,3,5] => 10000 => [1,5]
[1,4,4,2,1,4] => [1,4,5,2,3,6] => 10001 => [1,4,1]
[1,4,4,2,4,1] => [1,4,6,2,3,5] => 10000 => [1,5]
[1,4,4,4,1,2] => [1,5,6,2,3,4] => 10000 => [1,5]
[1,4,4,4,2,1] => [1,5,6,2,3,4] => 10000 => [1,5]
[2,1,1,4,4,4] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,4,1,4,4] => [2,1,4,3,5,6] => 01011 => [2,2,1,1]
[2,1,4,4,1,4] => [2,1,5,3,4,6] => 01001 => [2,3,1]
[2,1,4,4,4,1] => [2,1,6,3,4,5] => 01000 => [2,4]
[2,4,1,1,4,4] => [3,1,4,2,5,6] => 00011 => [4,1,1]
[2,4,1,4,1,4] => [3,1,5,2,4,6] => 00001 => [5,1]
[2,4,1,4,4,1] => [3,1,6,2,4,5] => 00000 => [6]
[2,4,4,1,1,4] => [4,1,5,2,3,6] => 00001 => [5,1]
[2,4,4,1,4,1] => [4,1,6,2,3,5] => 00000 => [6]
[2,4,4,4,1,1] => [5,1,6,2,3,4] => 00000 => [6]
[4,1,1,2,4,4] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,1,4,2,4] => [2,3,5,1,4,6] => 00001 => [5,1]
[4,1,1,4,4,2] => [2,3,6,1,4,5] => 00000 => [6]
[4,1,2,1,4,4] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,2,4,1,4] => [2,3,5,1,4,6] => 00001 => [5,1]
[4,1,2,4,4,1] => [2,3,6,1,4,5] => 00000 => [6]
[4,1,4,1,2,4] => [2,4,5,1,3,6] => 00001 => [5,1]
[4,1,4,1,4,2] => [2,4,6,1,3,5] => 00000 => [6]
[4,1,4,2,1,4] => [2,4,5,1,3,6] => 00001 => [5,1]
[4,1,4,2,4,1] => [2,4,6,1,3,5] => 00000 => [6]
[4,1,4,4,1,2] => [2,5,6,1,3,4] => 00000 => [6]
[4,1,4,4,2,1] => [2,5,6,1,3,4] => 00000 => [6]
[4,2,1,1,4,4] => [3,2,4,1,5,6] => 00011 => [4,1,1]
[4,2,1,4,1,4] => [3,2,5,1,4,6] => 00001 => [5,1]
[4,2,1,4,4,1] => [3,2,6,1,4,5] => 00000 => [6]
[4,2,4,1,1,4] => [4,2,5,1,3,6] => 00001 => [5,1]
[4,2,4,1,4,1] => [4,2,6,1,3,5] => 00000 => [6]
[4,2,4,4,1,1] => [5,2,6,1,3,4] => 00000 => [6]
[4,4,1,1,2,4] => [3,4,5,1,2,6] => 00001 => [5,1]
[4,4,1,1,4,2] => [3,4,6,1,2,5] => 00000 => [6]
[4,4,1,2,1,4] => [3,4,5,1,2,6] => 00001 => [5,1]
[4,4,1,2,4,1] => [3,4,6,1,2,5] => 00000 => [6]
[4,4,1,4,1,2] => [3,5,6,1,2,4] => 00000 => [6]
[4,4,1,4,2,1] => [3,5,6,1,2,4] => 00000 => [6]
[4,4,2,1,1,4] => [4,3,5,1,2,6] => 00001 => [5,1]
[4,4,2,1,4,1] => [4,3,6,1,2,5] => 00000 => [6]
[4,4,2,4,1,1] => [5,3,6,1,2,4] => 00000 => [6]
[4,4,4,1,1,2] => [4,5,6,1,2,3] => 00000 => [6]
[4,4,4,1,2,1] => [4,5,6,1,2,3] => 00000 => [6]
[4,4,4,2,1,1] => [5,4,6,1,2,3] => 00000 => [6]
[1,1,2,4,4,5] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,2,4,5,4] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,2,5,4,4] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,1,4,2,4,5] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,1,4,2,5,4] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,1,4,4,2,5] => [1,2,5,3,4,6] => 11001 => [1,1,3,1]
[1,1,4,4,5,2] => [1,2,6,3,4,5] => 11000 => [1,1,4]
[1,1,4,5,2,4] => [1,2,5,3,4,6] => 11001 => [1,1,3,1]
[1,1,4,5,4,2] => [1,2,6,3,4,5] => 11000 => [1,1,4]
[1,1,5,2,4,4] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,1,5,4,2,4] => [1,2,5,4,3,6] => 11001 => [1,1,3,1]
[1,1,5,4,4,2] => [1,2,6,4,3,5] => 11000 => [1,1,4]
[1,2,1,4,4,5] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,1,4,5,4] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,1,5,4,4] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,2,4,1,4,5] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,2,4,1,5,4] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,2,4,4,1,5] => [1,2,5,3,4,6] => 11001 => [1,1,3,1]
[1,2,4,4,5,1] => [1,2,6,3,4,5] => 11000 => [1,1,4]
[1,2,4,5,1,4] => [1,2,5,3,4,6] => 11001 => [1,1,3,1]
[1,2,4,5,4,1] => [1,2,6,3,4,5] => 11000 => [1,1,4]
[1,2,5,1,4,4] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,2,5,4,1,4] => [1,2,5,4,3,6] => 11001 => [1,1,3,1]
[1,2,5,4,4,1] => [1,2,6,4,3,5] => 11000 => [1,1,4]
[1,4,1,2,4,5] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,1,2,5,4] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,1,4,2,5] => [1,3,5,2,4,6] => 10001 => [1,4,1]
[1,4,1,4,5,2] => [1,3,6,2,4,5] => 10000 => [1,5]
[1,4,1,5,2,4] => [1,3,5,2,4,6] => 10001 => [1,4,1]
[1,4,1,5,4,2] => [1,3,6,2,4,5] => 10000 => [1,5]
[1,4,2,1,4,5] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,2,1,5,4] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,2,4,1,5] => [1,3,5,2,4,6] => 10001 => [1,4,1]
[1,4,2,4,5,1] => [1,3,6,2,4,5] => 10000 => [1,5]
[1,4,2,5,1,4] => [1,3,5,2,4,6] => 10001 => [1,4,1]
[1,4,2,5,4,1] => [1,3,6,2,4,5] => 10000 => [1,5]
[1,4,4,1,2,5] => [1,4,5,2,3,6] => 10001 => [1,4,1]
[1,4,4,1,5,2] => [1,4,6,2,3,5] => 10000 => [1,5]
[1,4,4,2,1,5] => [1,4,5,2,3,6] => 10001 => [1,4,1]
[1,4,4,2,5,1] => [1,4,6,2,3,5] => 10000 => [1,5]
[1,4,4,5,1,2] => [1,5,6,2,3,4] => 10000 => [1,5]
[1,4,4,5,2,1] => [1,5,6,2,3,4] => 10000 => [1,5]
[1,4,5,1,2,4] => [1,4,5,2,3,6] => 10001 => [1,4,1]
[1,4,5,1,4,2] => [1,4,6,2,3,5] => 10000 => [1,5]
[1,4,5,2,1,4] => [1,4,5,2,3,6] => 10001 => [1,4,1]
[1,4,5,2,4,1] => [1,4,6,2,3,5] => 10000 => [1,5]
[1,4,5,4,1,2] => [1,5,6,2,3,4] => 10000 => [1,5]
[1,4,5,4,2,1] => [1,5,6,2,3,4] => 10000 => [1,5]
[1,5,1,2,4,4] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,1,4,2,4] => [1,3,5,4,2,6] => 10001 => [1,4,1]
[1,5,1,4,4,2] => [1,3,6,4,2,5] => 10000 => [1,5]
[1,5,2,1,4,4] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,2,4,1,4] => [1,3,5,4,2,6] => 10001 => [1,4,1]
[1,5,2,4,4,1] => [1,3,6,4,2,5] => 10000 => [1,5]
[1,5,4,1,2,4] => [1,4,5,3,2,6] => 10001 => [1,4,1]
[1,5,4,1,4,2] => [1,4,6,3,2,5] => 10000 => [1,5]
[1,5,4,2,1,4] => [1,4,5,3,2,6] => 10001 => [1,4,1]
[1,5,4,2,4,1] => [1,4,6,3,2,5] => 10000 => [1,5]
[1,5,4,4,1,2] => [1,5,6,3,2,4] => 10000 => [1,5]
[1,5,4,4,2,1] => [1,5,6,3,2,4] => 10000 => [1,5]
[2,1,1,4,4,5] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,1,4,5,4] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,1,5,4,4] => [2,1,3,5,4,6] => 01101 => [2,1,2,1]
[2,1,4,1,4,5] => [2,1,4,3,5,6] => 01011 => [2,2,1,1]
[2,1,4,1,5,4] => [2,1,4,3,5,6] => 01011 => [2,2,1,1]
[2,1,4,4,1,5] => [2,1,5,3,4,6] => 01001 => [2,3,1]
[2,1,4,4,5,1] => [2,1,6,3,4,5] => 01000 => [2,4]
[2,1,4,5,1,4] => [2,1,5,3,4,6] => 01001 => [2,3,1]
[2,1,4,5,4,1] => [2,1,6,3,4,5] => 01000 => [2,4]
[2,1,5,1,4,4] => [2,1,4,5,3,6] => 01001 => [2,3,1]
[2,1,5,4,1,4] => [2,1,5,4,3,6] => 01001 => [2,3,1]
[2,1,5,4,4,1] => [2,1,6,4,3,5] => 01000 => [2,4]
[2,4,1,1,4,5] => [3,1,4,2,5,6] => 00011 => [4,1,1]
[2,4,1,1,5,4] => [3,1,4,2,5,6] => 00011 => [4,1,1]
[2,4,1,4,1,5] => [3,1,5,2,4,6] => 00001 => [5,1]
[2,4,1,4,5,1] => [3,1,6,2,4,5] => 00000 => [6]
[2,4,1,5,1,4] => [3,1,5,2,4,6] => 00001 => [5,1]
[2,4,1,5,4,1] => [3,1,6,2,4,5] => 00000 => [6]
[2,4,4,1,1,5] => [4,1,5,2,3,6] => 00001 => [5,1]
[2,4,4,1,5,1] => [4,1,6,2,3,5] => 00000 => [6]
[2,4,4,5,1,1] => [5,1,6,2,3,4] => 00000 => [6]
[2,4,5,1,1,4] => [4,1,5,2,3,6] => 00001 => [5,1]
[2,4,5,1,4,1] => [4,1,6,2,3,5] => 00000 => [6]
[2,4,5,4,1,1] => [5,1,6,2,3,4] => 00000 => [6]
[2,5,1,1,4,4] => [3,1,4,5,2,6] => 00001 => [5,1]
[2,5,1,4,1,4] => [3,1,5,4,2,6] => 00001 => [5,1]
[2,5,1,4,4,1] => [3,1,6,4,2,5] => 00000 => [6]
[2,5,4,1,1,4] => [4,1,5,3,2,6] => 00001 => [5,1]
[2,5,4,1,4,1] => [4,1,6,3,2,5] => 00000 => [6]
[2,5,4,4,1,1] => [5,1,6,3,2,4] => 00000 => [6]
[4,1,1,2,4,5] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,1,2,5,4] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,1,4,2,5] => [2,3,5,1,4,6] => 00001 => [5,1]
[4,1,1,4,5,2] => [2,3,6,1,4,5] => 00000 => [6]
[4,1,1,5,2,4] => [2,3,5,1,4,6] => 00001 => [5,1]
[4,1,1,5,4,2] => [2,3,6,1,4,5] => 00000 => [6]
[4,1,2,1,4,5] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,2,1,5,4] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,2,4,1,5] => [2,3,5,1,4,6] => 00001 => [5,1]
[4,1,2,4,5,1] => [2,3,6,1,4,5] => 00000 => [6]
[4,1,2,5,1,4] => [2,3,5,1,4,6] => 00001 => [5,1]
[4,1,2,5,4,1] => [2,3,6,1,4,5] => 00000 => [6]
[4,1,4,1,2,5] => [2,4,5,1,3,6] => 00001 => [5,1]
[4,1,4,1,5,2] => [2,4,6,1,3,5] => 00000 => [6]
[4,1,4,2,1,5] => [2,4,5,1,3,6] => 00001 => [5,1]
[4,1,4,2,5,1] => [2,4,6,1,3,5] => 00000 => [6]
[4,1,4,5,1,2] => [2,5,6,1,3,4] => 00000 => [6]
[4,1,4,5,2,1] => [2,5,6,1,3,4] => 00000 => [6]
[4,1,5,1,2,4] => [2,4,5,1,3,6] => 00001 => [5,1]
[4,1,5,1,4,2] => [2,4,6,1,3,5] => 00000 => [6]
[4,1,5,2,1,4] => [2,4,5,1,3,6] => 00001 => [5,1]
[4,1,5,2,4,1] => [2,4,6,1,3,5] => 00000 => [6]
[4,1,5,4,1,2] => [2,5,6,1,3,4] => 00000 => [6]
[4,1,5,4,2,1] => [2,5,6,1,3,4] => 00000 => [6]
[4,2,1,1,4,5] => [3,2,4,1,5,6] => 00011 => [4,1,1]
[4,2,1,1,5,4] => [3,2,4,1,5,6] => 00011 => [4,1,1]
[4,2,1,4,1,5] => [3,2,5,1,4,6] => 00001 => [5,1]
[4,2,1,4,5,1] => [3,2,6,1,4,5] => 00000 => [6]
[4,2,1,5,1,4] => [3,2,5,1,4,6] => 00001 => [5,1]
[4,2,1,5,4,1] => [3,2,6,1,4,5] => 00000 => [6]
[4,2,4,1,1,5] => [4,2,5,1,3,6] => 00001 => [5,1]
[4,2,4,1,5,1] => [4,2,6,1,3,5] => 00000 => [6]
[4,2,4,5,1,1] => [5,2,6,1,3,4] => 00000 => [6]
[4,2,5,1,1,4] => [4,2,5,1,3,6] => 00001 => [5,1]
[4,2,5,1,4,1] => [4,2,6,1,3,5] => 00000 => [6]
[4,2,5,4,1,1] => [5,2,6,1,3,4] => 00000 => [6]
[4,4,1,1,2,5] => [3,4,5,1,2,6] => 00001 => [5,1]
[4,4,1,1,5,2] => [3,4,6,1,2,5] => 00000 => [6]
[4,4,1,2,1,5] => [3,4,5,1,2,6] => 00001 => [5,1]
[4,4,1,2,5,1] => [3,4,6,1,2,5] => 00000 => [6]
[4,4,1,5,1,2] => [3,5,6,1,2,4] => 00000 => [6]
[4,4,1,5,2,1] => [3,5,6,1,2,4] => 00000 => [6]
[4,4,2,1,1,5] => [4,3,5,1,2,6] => 00001 => [5,1]
[4,4,2,1,5,1] => [4,3,6,1,2,5] => 00000 => [6]
[4,4,2,5,1,1] => [5,3,6,1,2,4] => 00000 => [6]
[4,4,5,1,1,2] => [4,5,6,1,2,3] => 00000 => [6]
[4,4,5,1,2,1] => [4,5,6,1,2,3] => 00000 => [6]
[4,4,5,2,1,1] => [5,4,6,1,2,3] => 00000 => [6]
[4,5,1,1,2,4] => [3,4,5,1,2,6] => 00001 => [5,1]
[4,5,1,1,4,2] => [3,4,6,1,2,5] => 00000 => [6]
[4,5,1,2,1,4] => [3,4,5,1,2,6] => 00001 => [5,1]
[4,5,1,2,4,1] => [3,4,6,1,2,5] => 00000 => [6]
[4,5,1,4,1,2] => [3,5,6,1,2,4] => 00000 => [6]
[4,5,1,4,2,1] => [3,5,6,1,2,4] => 00000 => [6]
[4,5,2,1,1,4] => [4,3,5,1,2,6] => 00001 => [5,1]
[4,5,2,1,4,1] => [4,3,6,1,2,5] => 00000 => [6]
[4,5,2,4,1,1] => [5,3,6,1,2,4] => 00000 => [6]
[4,5,4,1,1,2] => [4,5,6,1,2,3] => 00000 => [6]
[4,5,4,1,2,1] => [4,5,6,1,2,3] => 00000 => [6]
[4,5,4,2,1,1] => [5,4,6,1,2,3] => 00000 => [6]
[5,1,1,2,4,4] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,1,4,2,4] => [2,3,5,4,1,6] => 00001 => [5,1]
[5,1,1,4,4,2] => [2,3,6,4,1,5] => 00000 => [6]
[5,1,2,1,4,4] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,2,4,1,4] => [2,3,5,4,1,6] => 00001 => [5,1]
[5,1,2,4,4,1] => [2,3,6,4,1,5] => 00000 => [6]
[5,1,4,1,2,4] => [2,4,5,3,1,6] => 00001 => [5,1]
[5,1,4,1,4,2] => [2,4,6,3,1,5] => 00000 => [6]
[5,1,4,2,1,4] => [2,4,5,3,1,6] => 00001 => [5,1]
[5,1,4,2,4,1] => [2,4,6,3,1,5] => 00000 => [6]
[5,1,4,4,1,2] => [2,5,6,3,1,4] => 00000 => [6]
[5,1,4,4,2,1] => [2,5,6,3,1,4] => 00000 => [6]
[5,2,1,1,4,4] => [3,2,4,5,1,6] => 00001 => [5,1]
[5,2,1,4,1,4] => [3,2,5,4,1,6] => 00001 => [5,1]
[5,2,1,4,4,1] => [3,2,6,4,1,5] => 00000 => [6]
[5,2,4,1,1,4] => [4,2,5,3,1,6] => 00001 => [5,1]
[5,2,4,1,4,1] => [4,2,6,3,1,5] => 00000 => [6]
[5,2,4,4,1,1] => [5,2,6,3,1,4] => 00000 => [6]
[5,4,1,1,2,4] => [3,4,5,2,1,6] => 00001 => [5,1]
[5,4,1,1,4,2] => [3,4,6,2,1,5] => 00000 => [6]
[5,4,1,2,1,4] => [3,4,5,2,1,6] => 00001 => [5,1]
[5,4,1,2,4,1] => [3,4,6,2,1,5] => 00000 => [6]
[5,4,1,4,1,2] => [3,5,6,2,1,4] => 00000 => [6]
[5,4,1,4,2,1] => [3,5,6,2,1,4] => 00000 => [6]
[5,4,2,1,1,4] => [4,3,5,2,1,6] => 00001 => [5,1]
[5,4,2,1,4,1] => [4,3,6,2,1,5] => 00000 => [6]
[5,4,2,4,1,1] => [5,3,6,2,1,4] => 00000 => [6]
[5,4,4,1,1,2] => [4,5,6,2,1,3] => 00000 => [6]
[5,4,4,1,2,1] => [4,5,6,2,1,3] => 00000 => [6]
[5,4,4,2,1,1] => [5,4,6,2,1,3] => 00000 => [6]
[1,1,2,4,4,6] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,2,4,6,4] => [1,2,3,4,6,5] => 11110 => [1,1,1,1,2]
[1,1,2,6,4,4] => [1,2,3,5,6,4] => 11100 => [1,1,1,3]
[1,1,4,2,4,6] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,1,4,2,6,4] => [1,2,4,3,6,5] => 11010 => [1,1,2,2]
[1,1,4,4,2,6] => [1,2,5,3,4,6] => 11001 => [1,1,3,1]
[1,1,4,4,6,2] => [1,2,6,3,4,5] => 11000 => [1,1,4]
[1,1,4,6,2,4] => [1,2,5,3,6,4] => 11000 => [1,1,4]
[1,1,4,6,4,2] => [1,2,6,3,5,4] => 11000 => [1,1,4]
[1,1,6,2,4,4] => [1,2,4,5,6,3] => 11000 => [1,1,4]
[1,1,6,4,2,4] => [1,2,5,4,6,3] => 11000 => [1,1,4]
[1,1,6,4,4,2] => [1,2,6,4,5,3] => 11000 => [1,1,4]
[1,2,1,4,4,6] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,1,4,6,4] => [1,2,3,4,6,5] => 11110 => [1,1,1,1,2]
[1,2,1,6,4,4] => [1,2,3,5,6,4] => 11100 => [1,1,1,3]
[1,2,4,1,4,6] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,2,4,1,6,4] => [1,2,4,3,6,5] => 11010 => [1,1,2,2]
[1,2,4,4,1,6] => [1,2,5,3,4,6] => 11001 => [1,1,3,1]
[1,2,4,4,6,1] => [1,2,6,3,4,5] => 11000 => [1,1,4]
[1,2,4,6,1,4] => [1,2,5,3,6,4] => 11000 => [1,1,4]
[1,2,4,6,4,1] => [1,2,6,3,5,4] => 11000 => [1,1,4]
[1,2,6,1,4,4] => [1,2,4,5,6,3] => 11000 => [1,1,4]
[1,2,6,4,1,4] => [1,2,5,4,6,3] => 11000 => [1,1,4]
[1,2,6,4,4,1] => [1,2,6,4,5,3] => 11000 => [1,1,4]
[1,4,1,2,4,6] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,1,2,6,4] => [1,3,4,2,6,5] => 10010 => [1,3,2]
[1,4,1,4,2,6] => [1,3,5,2,4,6] => 10001 => [1,4,1]
[1,4,1,4,6,2] => [1,3,6,2,4,5] => 10000 => [1,5]
[1,4,1,6,2,4] => [1,3,5,2,6,4] => 10000 => [1,5]
[1,4,1,6,4,2] => [1,3,6,2,5,4] => 10000 => [1,5]
[1,4,2,1,4,6] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,2,1,6,4] => [1,3,4,2,6,5] => 10010 => [1,3,2]
[1,4,2,4,1,6] => [1,3,5,2,4,6] => 10001 => [1,4,1]
[1,4,2,4,6,1] => [1,3,6,2,4,5] => 10000 => [1,5]
[1,4,2,6,1,4] => [1,3,5,2,6,4] => 10000 => [1,5]
[1,4,2,6,4,1] => [1,3,6,2,5,4] => 10000 => [1,5]
[1,4,4,1,2,6] => [1,4,5,2,3,6] => 10001 => [1,4,1]
[1,4,4,1,6,2] => [1,4,6,2,3,5] => 10000 => [1,5]
[1,4,4,2,1,6] => [1,4,5,2,3,6] => 10001 => [1,4,1]
[1,4,4,2,6,1] => [1,4,6,2,3,5] => 10000 => [1,5]
[1,4,4,6,1,2] => [1,5,6,2,3,4] => 10000 => [1,5]
[1,4,4,6,2,1] => [1,5,6,2,3,4] => 10000 => [1,5]
[1,4,6,1,2,4] => [1,4,5,2,6,3] => 10000 => [1,5]
[1,4,6,1,4,2] => [1,4,6,2,5,3] => 10000 => [1,5]
[1,4,6,2,1,4] => [1,4,5,2,6,3] => 10000 => [1,5]
[1,4,6,2,4,1] => [1,4,6,2,5,3] => 10000 => [1,5]
[1,4,6,4,1,2] => [1,5,6,2,4,3] => 10000 => [1,5]
[1,4,6,4,2,1] => [1,5,6,2,4,3] => 10000 => [1,5]
[1,6,1,2,4,4] => [1,3,4,5,6,2] => 10000 => [1,5]
[1,6,1,4,2,4] => [1,3,5,4,6,2] => 10000 => [1,5]
[1,6,1,4,4,2] => [1,3,6,4,5,2] => 10000 => [1,5]
[1,6,2,1,4,4] => [1,3,4,5,6,2] => 10000 => [1,5]
[1,6,2,4,1,4] => [1,3,5,4,6,2] => 10000 => [1,5]
[1,6,2,4,4,1] => [1,3,6,4,5,2] => 10000 => [1,5]
[1,6,4,1,2,4] => [1,4,5,3,6,2] => 10000 => [1,5]
[1,6,4,1,4,2] => [1,4,6,3,5,2] => 10000 => [1,5]
[1,6,4,2,1,4] => [1,4,5,3,6,2] => 10000 => [1,5]
[1,6,4,2,4,1] => [1,4,6,3,5,2] => 10000 => [1,5]
[1,6,4,4,1,2] => [1,5,6,3,4,2] => 10000 => [1,5]
[1,6,4,4,2,1] => [1,5,6,3,4,2] => 10000 => [1,5]
[2,1,1,4,4,6] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,1,4,6,4] => [2,1,3,4,6,5] => 01110 => [2,1,1,2]
[2,1,1,6,4,4] => [2,1,3,5,6,4] => 01100 => [2,1,3]
[2,1,4,1,4,6] => [2,1,4,3,5,6] => 01011 => [2,2,1,1]
[2,1,4,1,6,4] => [2,1,4,3,6,5] => 01010 => [2,2,2]
[2,1,4,4,1,6] => [2,1,5,3,4,6] => 01001 => [2,3,1]
[2,1,4,4,6,1] => [2,1,6,3,4,5] => 01000 => [2,4]
[2,1,4,6,1,4] => [2,1,5,3,6,4] => 01000 => [2,4]
[2,1,4,6,4,1] => [2,1,6,3,5,4] => 01000 => [2,4]
[2,1,6,1,4,4] => [2,1,4,5,6,3] => 01000 => [2,4]
[2,1,6,4,1,4] => [2,1,5,4,6,3] => 01000 => [2,4]
[2,1,6,4,4,1] => [2,1,6,4,5,3] => 01000 => [2,4]
[2,4,1,1,4,6] => [3,1,4,2,5,6] => 00011 => [4,1,1]
[2,4,1,1,6,4] => [3,1,4,2,6,5] => 00010 => [4,2]
[2,4,1,4,1,6] => [3,1,5,2,4,6] => 00001 => [5,1]
[2,4,1,4,6,1] => [3,1,6,2,4,5] => 00000 => [6]
[2,4,1,6,1,4] => [3,1,5,2,6,4] => 00000 => [6]
[2,4,1,6,4,1] => [3,1,6,2,5,4] => 00000 => [6]
[2,4,4,1,1,6] => [4,1,5,2,3,6] => 00001 => [5,1]
[2,4,4,1,6,1] => [4,1,6,2,3,5] => 00000 => [6]
[2,4,4,6,1,1] => [5,1,6,2,3,4] => 00000 => [6]
[2,4,6,1,1,4] => [4,1,5,2,6,3] => 00000 => [6]
[2,4,6,1,4,1] => [4,1,6,2,5,3] => 00000 => [6]
[2,4,6,4,1,1] => [5,1,6,2,4,3] => 00000 => [6]
[2,6,1,1,4,4] => [3,1,4,5,6,2] => 00000 => [6]
[2,6,1,4,1,4] => [3,1,5,4,6,2] => 00000 => [6]
[2,6,1,4,4,1] => [3,1,6,4,5,2] => 00000 => [6]
[2,6,4,1,1,4] => [4,1,5,3,6,2] => 00000 => [6]
[2,6,4,1,4,1] => [4,1,6,3,5,2] => 00000 => [6]
[2,6,4,4,1,1] => [5,1,6,3,4,2] => 00000 => [6]
[4,1,1,2,4,6] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,1,2,6,4] => [2,3,4,1,6,5] => 00010 => [4,2]
[4,1,1,4,2,6] => [2,3,5,1,4,6] => 00001 => [5,1]
[4,1,1,4,6,2] => [2,3,6,1,4,5] => 00000 => [6]
[4,1,1,6,2,4] => [2,3,5,1,6,4] => 00000 => [6]
[4,1,1,6,4,2] => [2,3,6,1,5,4] => 00000 => [6]
[4,1,2,1,4,6] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,2,1,6,4] => [2,3,4,1,6,5] => 00010 => [4,2]
[4,1,2,4,1,6] => [2,3,5,1,4,6] => 00001 => [5,1]
[4,1,2,4,6,1] => [2,3,6,1,4,5] => 00000 => [6]
[4,1,2,6,1,4] => [2,3,5,1,6,4] => 00000 => [6]
[4,1,2,6,4,1] => [2,3,6,1,5,4] => 00000 => [6]
[4,1,4,1,2,6] => [2,4,5,1,3,6] => 00001 => [5,1]
[4,1,4,1,6,2] => [2,4,6,1,3,5] => 00000 => [6]
[4,1,4,2,1,6] => [2,4,5,1,3,6] => 00001 => [5,1]
[4,1,4,2,6,1] => [2,4,6,1,3,5] => 00000 => [6]
[4,1,4,6,1,2] => [2,5,6,1,3,4] => 00000 => [6]
[4,1,4,6,2,1] => [2,5,6,1,3,4] => 00000 => [6]
[4,1,6,1,2,4] => [2,4,5,1,6,3] => 00000 => [6]
[4,1,6,1,4,2] => [2,4,6,1,5,3] => 00000 => [6]
[4,1,6,2,1,4] => [2,4,5,1,6,3] => 00000 => [6]
[4,1,6,2,4,1] => [2,4,6,1,5,3] => 00000 => [6]
[4,1,6,4,1,2] => [2,5,6,1,4,3] => 00000 => [6]
[4,1,6,4,2,1] => [2,5,6,1,4,3] => 00000 => [6]
[4,2,1,1,4,6] => [3,2,4,1,5,6] => 00011 => [4,1,1]
[4,2,1,1,6,4] => [3,2,4,1,6,5] => 00010 => [4,2]
[4,2,1,4,1,6] => [3,2,5,1,4,6] => 00001 => [5,1]
[4,2,1,4,6,1] => [3,2,6,1,4,5] => 00000 => [6]
[4,2,1,6,1,4] => [3,2,5,1,6,4] => 00000 => [6]
[4,2,1,6,4,1] => [3,2,6,1,5,4] => 00000 => [6]
[4,2,4,1,1,6] => [4,2,5,1,3,6] => 00001 => [5,1]
[4,2,4,1,6,1] => [4,2,6,1,3,5] => 00000 => [6]
[4,2,4,6,1,1] => [5,2,6,1,3,4] => 00000 => [6]
[4,2,6,1,1,4] => [4,2,5,1,6,3] => 00000 => [6]
[4,2,6,1,4,1] => [4,2,6,1,5,3] => 00000 => [6]
[4,2,6,4,1,1] => [5,2,6,1,4,3] => 00000 => [6]
[4,4,1,1,2,6] => [3,4,5,1,2,6] => 00001 => [5,1]
[4,4,1,1,6,2] => [3,4,6,1,2,5] => 00000 => [6]
[4,4,1,2,1,6] => [3,4,5,1,2,6] => 00001 => [5,1]
[4,4,1,2,6,1] => [3,4,6,1,2,5] => 00000 => [6]
[4,4,1,6,1,2] => [3,5,6,1,2,4] => 00000 => [6]
[4,4,1,6,2,1] => [3,5,6,1,2,4] => 00000 => [6]
[4,4,2,1,1,6] => [4,3,5,1,2,6] => 00001 => [5,1]
[4,4,2,1,6,1] => [4,3,6,1,2,5] => 00000 => [6]
[4,4,2,6,1,1] => [5,3,6,1,2,4] => 00000 => [6]
[4,4,6,1,1,2] => [4,5,6,1,2,3] => 00000 => [6]
[4,4,6,1,2,1] => [4,5,6,1,2,3] => 00000 => [6]
[4,4,6,2,1,1] => [5,4,6,1,2,3] => 00000 => [6]
[4,6,1,1,2,4] => [3,4,5,1,6,2] => 00000 => [6]
[4,6,1,1,4,2] => [3,4,6,1,5,2] => 00000 => [6]
[4,6,1,2,1,4] => [3,4,5,1,6,2] => 00000 => [6]
[4,6,1,2,4,1] => [3,4,6,1,5,2] => 00000 => [6]
[4,6,1,4,1,2] => [3,5,6,1,4,2] => 00000 => [6]
[4,6,1,4,2,1] => [3,5,6,1,4,2] => 00000 => [6]
[4,6,2,1,1,4] => [4,3,5,1,6,2] => 00000 => [6]
[4,6,2,1,4,1] => [4,3,6,1,5,2] => 00000 => [6]
[4,6,2,4,1,1] => [5,3,6,1,4,2] => 00000 => [6]
[4,6,4,1,1,2] => [4,5,6,1,3,2] => 00000 => [6]
[4,6,4,1,2,1] => [4,5,6,1,3,2] => 00000 => [6]
[4,6,4,2,1,1] => [5,4,6,1,3,2] => 00000 => [6]
[6,1,1,2,4,4] => [2,3,4,5,6,1] => 00000 => [6]
[6,1,1,4,2,4] => [2,3,5,4,6,1] => 00000 => [6]
[6,1,1,4,4,2] => [2,3,6,4,5,1] => 00000 => [6]
[6,1,2,1,4,4] => [2,3,4,5,6,1] => 00000 => [6]
[6,1,2,4,1,4] => [2,3,5,4,6,1] => 00000 => [6]
[6,1,2,4,4,1] => [2,3,6,4,5,1] => 00000 => [6]
[6,1,4,1,2,4] => [2,4,5,3,6,1] => 00000 => [6]
[6,1,4,1,4,2] => [2,4,6,3,5,1] => 00000 => [6]
[6,1,4,2,1,4] => [2,4,5,3,6,1] => 00000 => [6]
[6,1,4,2,4,1] => [2,4,6,3,5,1] => 00000 => [6]
[6,1,4,4,1,2] => [2,5,6,3,4,1] => 00000 => [6]
[6,1,4,4,2,1] => [2,5,6,3,4,1] => 00000 => [6]
[6,2,1,1,4,4] => [3,2,4,5,6,1] => 00000 => [6]
[6,2,1,4,1,4] => [3,2,5,4,6,1] => 00000 => [6]
[6,2,1,4,4,1] => [3,2,6,4,5,1] => 00000 => [6]
[6,2,4,1,1,4] => [4,2,5,3,6,1] => 00000 => [6]
[6,2,4,1,4,1] => [4,2,6,3,5,1] => 00000 => [6]
[6,2,4,4,1,1] => [5,2,6,3,4,1] => 00000 => [6]
[6,4,1,1,2,4] => [3,4,5,2,6,1] => 00000 => [6]
[6,4,1,1,4,2] => [3,4,6,2,5,1] => 00000 => [6]
[6,4,1,2,1,4] => [3,4,5,2,6,1] => 00000 => [6]
[6,4,1,2,4,1] => [3,4,6,2,5,1] => 00000 => [6]
[6,4,1,4,1,2] => [3,5,6,2,4,1] => 00000 => [6]
[6,4,1,4,2,1] => [3,5,6,2,4,1] => 00000 => [6]
[6,4,2,1,1,4] => [4,3,5,2,6,1] => 00000 => [6]
[6,4,2,1,4,1] => [4,3,6,2,5,1] => 00000 => [6]
[6,4,2,4,1,1] => [5,3,6,2,4,1] => 00000 => [6]
[6,4,4,1,1,2] => [4,5,6,2,3,1] => 00000 => [6]
[6,4,4,1,2,1] => [4,5,6,2,3,1] => 00000 => [6]
[6,4,4,2,1,1] => [5,4,6,2,3,1] => 00000 => [6]
[1,1,2,4,5,5] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,2,5,4,5] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,1,2,5,5,4] => [1,2,3,6,4,5] => 11100 => [1,1,1,3]
[1,1,4,2,5,5] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,1,4,5,2,5] => [1,2,5,3,4,6] => 11001 => [1,1,3,1]
[1,1,4,5,5,2] => [1,2,6,3,4,5] => 11000 => [1,1,4]
[1,1,5,2,4,5] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,1,5,2,5,4] => [1,2,4,6,3,5] => 11000 => [1,1,4]
[1,1,5,4,2,5] => [1,2,5,4,3,6] => 11001 => [1,1,3,1]
[1,1,5,4,5,2] => [1,2,6,4,3,5] => 11000 => [1,1,4]
[1,1,5,5,2,4] => [1,2,5,6,3,4] => 11000 => [1,1,4]
[1,1,5,5,4,2] => [1,2,6,5,3,4] => 11000 => [1,1,4]
[1,2,1,4,5,5] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,1,5,4,5] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,2,1,5,5,4] => [1,2,3,6,4,5] => 11100 => [1,1,1,3]
[1,2,4,1,5,5] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,2,4,5,1,5] => [1,2,5,3,4,6] => 11001 => [1,1,3,1]
[1,2,4,5,5,1] => [1,2,6,3,4,5] => 11000 => [1,1,4]
[1,2,5,1,4,5] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,2,5,1,5,4] => [1,2,4,6,3,5] => 11000 => [1,1,4]
[1,2,5,4,1,5] => [1,2,5,4,3,6] => 11001 => [1,1,3,1]
[1,2,5,4,5,1] => [1,2,6,4,3,5] => 11000 => [1,1,4]
[1,2,5,5,1,4] => [1,2,5,6,3,4] => 11000 => [1,1,4]
[1,2,5,5,4,1] => [1,2,6,5,3,4] => 11000 => [1,1,4]
[1,4,1,2,5,5] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,1,5,2,5] => [1,3,5,2,4,6] => 10001 => [1,4,1]
[1,4,1,5,5,2] => [1,3,6,2,4,5] => 10000 => [1,5]
[1,4,2,1,5,5] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,2,5,1,5] => [1,3,5,2,4,6] => 10001 => [1,4,1]
[1,4,2,5,5,1] => [1,3,6,2,4,5] => 10000 => [1,5]
[1,4,5,1,2,5] => [1,4,5,2,3,6] => 10001 => [1,4,1]
[1,4,5,1,5,2] => [1,4,6,2,3,5] => 10000 => [1,5]
[1,4,5,2,1,5] => [1,4,5,2,3,6] => 10001 => [1,4,1]
[1,4,5,2,5,1] => [1,4,6,2,3,5] => 10000 => [1,5]
[1,4,5,5,1,2] => [1,5,6,2,3,4] => 10000 => [1,5]
[1,4,5,5,2,1] => [1,5,6,2,3,4] => 10000 => [1,5]
[1,5,1,2,4,5] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,1,2,5,4] => [1,3,4,6,2,5] => 10000 => [1,5]
[1,5,1,4,2,5] => [1,3,5,4,2,6] => 10001 => [1,4,1]
[1,5,1,4,5,2] => [1,3,6,4,2,5] => 10000 => [1,5]
[1,5,1,5,2,4] => [1,3,5,6,2,4] => 10000 => [1,5]
[1,5,1,5,4,2] => [1,3,6,5,2,4] => 10000 => [1,5]
[1,5,2,1,4,5] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,2,1,5,4] => [1,3,4,6,2,5] => 10000 => [1,5]
[1,5,2,4,1,5] => [1,3,5,4,2,6] => 10001 => [1,4,1]
[1,5,2,4,5,1] => [1,3,6,4,2,5] => 10000 => [1,5]
[1,5,2,5,1,4] => [1,3,5,6,2,4] => 10000 => [1,5]
[1,5,2,5,4,1] => [1,3,6,5,2,4] => 10000 => [1,5]
[1,5,4,1,2,5] => [1,4,5,3,2,6] => 10001 => [1,4,1]
[1,5,4,1,5,2] => [1,4,6,3,2,5] => 10000 => [1,5]
[1,5,4,2,1,5] => [1,4,5,3,2,6] => 10001 => [1,4,1]
[1,5,4,2,5,1] => [1,4,6,3,2,5] => 10000 => [1,5]
[1,5,4,5,1,2] => [1,5,6,3,2,4] => 10000 => [1,5]
[1,5,4,5,2,1] => [1,5,6,3,2,4] => 10000 => [1,5]
[1,5,5,1,2,4] => [1,4,5,6,2,3] => 10000 => [1,5]
[1,5,5,1,4,2] => [1,4,6,5,2,3] => 10000 => [1,5]
[1,5,5,2,1,4] => [1,4,5,6,2,3] => 10000 => [1,5]
[1,5,5,2,4,1] => [1,4,6,5,2,3] => 10000 => [1,5]
[1,5,5,4,1,2] => [1,5,6,4,2,3] => 10000 => [1,5]
[1,5,5,4,2,1] => [1,5,6,4,2,3] => 10000 => [1,5]
[2,1,1,4,5,5] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,1,5,4,5] => [2,1,3,5,4,6] => 01101 => [2,1,2,1]
[2,1,1,5,5,4] => [2,1,3,6,4,5] => 01100 => [2,1,3]
[2,1,4,1,5,5] => [2,1,4,3,5,6] => 01011 => [2,2,1,1]
[2,1,4,5,1,5] => [2,1,5,3,4,6] => 01001 => [2,3,1]
[2,1,4,5,5,1] => [2,1,6,3,4,5] => 01000 => [2,4]
[2,1,5,1,4,5] => [2,1,4,5,3,6] => 01001 => [2,3,1]
[2,1,5,1,5,4] => [2,1,4,6,3,5] => 01000 => [2,4]
[2,1,5,4,1,5] => [2,1,5,4,3,6] => 01001 => [2,3,1]
[2,1,5,4,5,1] => [2,1,6,4,3,5] => 01000 => [2,4]
[2,1,5,5,1,4] => [2,1,5,6,3,4] => 01000 => [2,4]
[2,1,5,5,4,1] => [2,1,6,5,3,4] => 01000 => [2,4]
[2,4,1,1,5,5] => [3,1,4,2,5,6] => 00011 => [4,1,1]
[2,4,1,5,1,5] => [3,1,5,2,4,6] => 00001 => [5,1]
[2,4,1,5,5,1] => [3,1,6,2,4,5] => 00000 => [6]
[2,4,5,1,1,5] => [4,1,5,2,3,6] => 00001 => [5,1]
[2,4,5,1,5,1] => [4,1,6,2,3,5] => 00000 => [6]
[2,4,5,5,1,1] => [5,1,6,2,3,4] => 00000 => [6]
[2,5,1,1,4,5] => [3,1,4,5,2,6] => 00001 => [5,1]
[2,5,1,1,5,4] => [3,1,4,6,2,5] => 00000 => [6]
[2,5,1,4,1,5] => [3,1,5,4,2,6] => 00001 => [5,1]
[2,5,1,4,5,1] => [3,1,6,4,2,5] => 00000 => [6]
[2,5,1,5,1,4] => [3,1,5,6,2,4] => 00000 => [6]
[2,5,1,5,4,1] => [3,1,6,5,2,4] => 00000 => [6]
[2,5,4,1,1,5] => [4,1,5,3,2,6] => 00001 => [5,1]
[2,5,4,1,5,1] => [4,1,6,3,2,5] => 00000 => [6]
[2,5,4,5,1,1] => [5,1,6,3,2,4] => 00000 => [6]
[2,5,5,1,1,4] => [4,1,5,6,2,3] => 00000 => [6]
[2,5,5,1,4,1] => [4,1,6,5,2,3] => 00000 => [6]
[2,5,5,4,1,1] => [5,1,6,4,2,3] => 00000 => [6]
[4,1,1,2,5,5] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,1,5,2,5] => [2,3,5,1,4,6] => 00001 => [5,1]
[4,1,1,5,5,2] => [2,3,6,1,4,5] => 00000 => [6]
[4,1,2,1,5,5] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,2,5,1,5] => [2,3,5,1,4,6] => 00001 => [5,1]
[4,1,2,5,5,1] => [2,3,6,1,4,5] => 00000 => [6]
[4,1,5,1,2,5] => [2,4,5,1,3,6] => 00001 => [5,1]
[4,1,5,1,5,2] => [2,4,6,1,3,5] => 00000 => [6]
[4,1,5,2,1,5] => [2,4,5,1,3,6] => 00001 => [5,1]
[4,1,5,2,5,1] => [2,4,6,1,3,5] => 00000 => [6]
[4,1,5,5,1,2] => [2,5,6,1,3,4] => 00000 => [6]
[4,1,5,5,2,1] => [2,5,6,1,3,4] => 00000 => [6]
[4,2,1,1,5,5] => [3,2,4,1,5,6] => 00011 => [4,1,1]
[4,2,1,5,1,5] => [3,2,5,1,4,6] => 00001 => [5,1]
[4,2,1,5,5,1] => [3,2,6,1,4,5] => 00000 => [6]
[4,2,5,1,1,5] => [4,2,5,1,3,6] => 00001 => [5,1]
[4,2,5,1,5,1] => [4,2,6,1,3,5] => 00000 => [6]
[4,2,5,5,1,1] => [5,2,6,1,3,4] => 00000 => [6]
[4,5,1,1,2,5] => [3,4,5,1,2,6] => 00001 => [5,1]
[4,5,1,1,5,2] => [3,4,6,1,2,5] => 00000 => [6]
[4,5,1,2,1,5] => [3,4,5,1,2,6] => 00001 => [5,1]
[4,5,1,2,5,1] => [3,4,6,1,2,5] => 00000 => [6]
[4,5,1,5,1,2] => [3,5,6,1,2,4] => 00000 => [6]
[4,5,1,5,2,1] => [3,5,6,1,2,4] => 00000 => [6]
[4,5,2,1,1,5] => [4,3,5,1,2,6] => 00001 => [5,1]
[4,5,2,1,5,1] => [4,3,6,1,2,5] => 00000 => [6]
[4,5,2,5,1,1] => [5,3,6,1,2,4] => 00000 => [6]
[4,5,5,1,1,2] => [4,5,6,1,2,3] => 00000 => [6]
[4,5,5,1,2,1] => [4,5,6,1,2,3] => 00000 => [6]
[4,5,5,2,1,1] => [5,4,6,1,2,3] => 00000 => [6]
[5,1,1,2,4,5] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,1,2,5,4] => [2,3,4,6,1,5] => 00000 => [6]
[5,1,1,4,2,5] => [2,3,5,4,1,6] => 00001 => [5,1]
[5,1,1,4,5,2] => [2,3,6,4,1,5] => 00000 => [6]
[5,1,1,5,2,4] => [2,3,5,6,1,4] => 00000 => [6]
[5,1,1,5,4,2] => [2,3,6,5,1,4] => 00000 => [6]
[5,1,2,1,4,5] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,2,1,5,4] => [2,3,4,6,1,5] => 00000 => [6]
[5,1,2,4,1,5] => [2,3,5,4,1,6] => 00001 => [5,1]
[5,1,2,4,5,1] => [2,3,6,4,1,5] => 00000 => [6]
[5,1,2,5,1,4] => [2,3,5,6,1,4] => 00000 => [6]
[5,1,2,5,4,1] => [2,3,6,5,1,4] => 00000 => [6]
[5,1,4,1,2,5] => [2,4,5,3,1,6] => 00001 => [5,1]
[5,1,4,1,5,2] => [2,4,6,3,1,5] => 00000 => [6]
[5,1,4,2,1,5] => [2,4,5,3,1,6] => 00001 => [5,1]
[5,1,4,2,5,1] => [2,4,6,3,1,5] => 00000 => [6]
[5,1,4,5,1,2] => [2,5,6,3,1,4] => 00000 => [6]
[5,1,4,5,2,1] => [2,5,6,3,1,4] => 00000 => [6]
[5,1,5,1,2,4] => [2,4,5,6,1,3] => 00000 => [6]
[5,1,5,1,4,2] => [2,4,6,5,1,3] => 00000 => [6]
[5,1,5,2,1,4] => [2,4,5,6,1,3] => 00000 => [6]
[5,1,5,2,4,1] => [2,4,6,5,1,3] => 00000 => [6]
[5,1,5,4,1,2] => [2,5,6,4,1,3] => 00000 => [6]
[5,1,5,4,2,1] => [2,5,6,4,1,3] => 00000 => [6]
[5,2,1,1,4,5] => [3,2,4,5,1,6] => 00001 => [5,1]
[5,2,1,1,5,4] => [3,2,4,6,1,5] => 00000 => [6]
[5,2,1,4,1,5] => [3,2,5,4,1,6] => 00001 => [5,1]
[5,2,1,4,5,1] => [3,2,6,4,1,5] => 00000 => [6]
[5,2,1,5,1,4] => [3,2,5,6,1,4] => 00000 => [6]
[5,2,1,5,4,1] => [3,2,6,5,1,4] => 00000 => [6]
[5,2,4,1,1,5] => [4,2,5,3,1,6] => 00001 => [5,1]
[5,2,4,1,5,1] => [4,2,6,3,1,5] => 00000 => [6]
[5,2,4,5,1,1] => [5,2,6,3,1,4] => 00000 => [6]
[5,2,5,1,1,4] => [4,2,5,6,1,3] => 00000 => [6]
[5,2,5,1,4,1] => [4,2,6,5,1,3] => 00000 => [6]
[5,2,5,4,1,1] => [5,2,6,4,1,3] => 00000 => [6]
[5,4,1,1,2,5] => [3,4,5,2,1,6] => 00001 => [5,1]
[5,4,1,1,5,2] => [3,4,6,2,1,5] => 00000 => [6]
[5,4,1,2,1,5] => [3,4,5,2,1,6] => 00001 => [5,1]
[5,4,1,2,5,1] => [3,4,6,2,1,5] => 00000 => [6]
[5,4,1,5,1,2] => [3,5,6,2,1,4] => 00000 => [6]
[5,4,1,5,2,1] => [3,5,6,2,1,4] => 00000 => [6]
[5,4,2,1,1,5] => [4,3,5,2,1,6] => 00001 => [5,1]
[5,4,2,1,5,1] => [4,3,6,2,1,5] => 00000 => [6]
[5,4,2,5,1,1] => [5,3,6,2,1,4] => 00000 => [6]
[5,4,5,1,1,2] => [4,5,6,2,1,3] => 00000 => [6]
[5,4,5,1,2,1] => [4,5,6,2,1,3] => 00000 => [6]
[5,4,5,2,1,1] => [5,4,6,2,1,3] => 00000 => [6]
[5,5,1,1,2,4] => [3,4,5,6,1,2] => 00000 => [6]
[5,5,1,1,4,2] => [3,4,6,5,1,2] => 00000 => [6]
[5,5,1,2,1,4] => [3,4,5,6,1,2] => 00000 => [6]
[5,5,1,2,4,1] => [3,4,6,5,1,2] => 00000 => [6]
[5,5,1,4,1,2] => [3,5,6,4,1,2] => 00000 => [6]
[5,5,1,4,2,1] => [3,5,6,4,1,2] => 00000 => [6]
[5,5,2,1,1,4] => [4,3,5,6,1,2] => 00000 => [6]
[5,5,2,1,4,1] => [4,3,6,5,1,2] => 00000 => [6]
[5,5,2,4,1,1] => [5,3,6,4,1,2] => 00000 => [6]
[5,5,4,1,1,2] => [4,5,6,3,1,2] => 00000 => [6]
[5,5,4,1,2,1] => [4,5,6,3,1,2] => 00000 => [6]
[5,5,4,2,1,1] => [5,4,6,3,1,2] => 00000 => [6]
[1,1,2,4,5,6] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,2,4,6,5] => [1,2,3,4,6,5] => 11110 => [1,1,1,1,2]
[1,1,2,5,4,6] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,1,2,5,6,4] => [1,2,3,6,4,5] => 11100 => [1,1,1,3]
[1,1,2,6,4,5] => [1,2,3,5,6,4] => 11100 => [1,1,1,3]
[1,1,2,6,5,4] => [1,2,3,6,5,4] => 11100 => [1,1,1,3]
[1,1,4,2,5,6] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,1,4,2,6,5] => [1,2,4,3,6,5] => 11010 => [1,1,2,2]
[1,1,4,5,2,6] => [1,2,5,3,4,6] => 11001 => [1,1,3,1]
[1,1,4,5,6,2] => [1,2,6,3,4,5] => 11000 => [1,1,4]
[1,1,4,6,2,5] => [1,2,5,3,6,4] => 11000 => [1,1,4]
[1,1,4,6,5,2] => [1,2,6,3,5,4] => 11000 => [1,1,4]
[1,1,5,2,4,6] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,1,5,2,6,4] => [1,2,4,6,3,5] => 11000 => [1,1,4]
[1,1,5,4,2,6] => [1,2,5,4,3,6] => 11001 => [1,1,3,1]
[1,1,5,4,6,2] => [1,2,6,4,3,5] => 11000 => [1,1,4]
[1,1,5,6,2,4] => [1,2,5,6,3,4] => 11000 => [1,1,4]
[1,1,5,6,4,2] => [1,2,6,5,3,4] => 11000 => [1,1,4]
[1,1,6,2,4,5] => [1,2,4,5,6,3] => 11000 => [1,1,4]
[1,1,6,2,5,4] => [1,2,4,6,5,3] => 11000 => [1,1,4]
[1,1,6,4,2,5] => [1,2,5,4,6,3] => 11000 => [1,1,4]
[1,1,6,4,5,2] => [1,2,6,4,5,3] => 11000 => [1,1,4]
[1,1,6,5,2,4] => [1,2,5,6,4,3] => 11000 => [1,1,4]
[1,1,6,5,4,2] => [1,2,6,5,4,3] => 11000 => [1,1,4]
[1,2,1,4,5,6] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,1,4,6,5] => [1,2,3,4,6,5] => 11110 => [1,1,1,1,2]
[1,2,1,5,4,6] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,2,1,5,6,4] => [1,2,3,6,4,5] => 11100 => [1,1,1,3]
[1,2,1,6,4,5] => [1,2,3,5,6,4] => 11100 => [1,1,1,3]
[1,2,1,6,5,4] => [1,2,3,6,5,4] => 11100 => [1,1,1,3]
[1,2,4,1,5,6] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,2,4,1,6,5] => [1,2,4,3,6,5] => 11010 => [1,1,2,2]
[1,2,4,5,1,6] => [1,2,5,3,4,6] => 11001 => [1,1,3,1]
[1,2,4,5,6,1] => [1,2,6,3,4,5] => 11000 => [1,1,4]
[1,2,4,6,1,5] => [1,2,5,3,6,4] => 11000 => [1,1,4]
[1,2,4,6,5,1] => [1,2,6,3,5,4] => 11000 => [1,1,4]
[1,2,5,1,4,6] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,2,5,1,6,4] => [1,2,4,6,3,5] => 11000 => [1,1,4]
[1,2,5,4,1,6] => [1,2,5,4,3,6] => 11001 => [1,1,3,1]
[1,2,5,4,6,1] => [1,2,6,4,3,5] => 11000 => [1,1,4]
[1,2,5,6,1,4] => [1,2,5,6,3,4] => 11000 => [1,1,4]
[1,2,5,6,4,1] => [1,2,6,5,3,4] => 11000 => [1,1,4]
[1,2,6,1,4,5] => [1,2,4,5,6,3] => 11000 => [1,1,4]
[1,2,6,1,5,4] => [1,2,4,6,5,3] => 11000 => [1,1,4]
[1,2,6,4,1,5] => [1,2,5,4,6,3] => 11000 => [1,1,4]
[1,2,6,4,5,1] => [1,2,6,4,5,3] => 11000 => [1,1,4]
[1,2,6,5,1,4] => [1,2,5,6,4,3] => 11000 => [1,1,4]
[1,2,6,5,4,1] => [1,2,6,5,4,3] => 11000 => [1,1,4]
[1,4,1,2,5,6] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,1,2,6,5] => [1,3,4,2,6,5] => 10010 => [1,3,2]
[1,4,1,5,2,6] => [1,3,5,2,4,6] => 10001 => [1,4,1]
[1,4,1,5,6,2] => [1,3,6,2,4,5] => 10000 => [1,5]
[1,4,1,6,2,5] => [1,3,5,2,6,4] => 10000 => [1,5]
[1,4,1,6,5,2] => [1,3,6,2,5,4] => 10000 => [1,5]
[1,4,2,1,5,6] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,2,1,6,5] => [1,3,4,2,6,5] => 10010 => [1,3,2]
[1,4,2,5,1,6] => [1,3,5,2,4,6] => 10001 => [1,4,1]
[1,4,2,5,6,1] => [1,3,6,2,4,5] => 10000 => [1,5]
[1,4,2,6,1,5] => [1,3,5,2,6,4] => 10000 => [1,5]
[1,4,2,6,5,1] => [1,3,6,2,5,4] => 10000 => [1,5]
[1,4,5,1,2,6] => [1,4,5,2,3,6] => 10001 => [1,4,1]
[1,4,5,1,6,2] => [1,4,6,2,3,5] => 10000 => [1,5]
[1,4,5,2,1,6] => [1,4,5,2,3,6] => 10001 => [1,4,1]
[1,4,5,2,6,1] => [1,4,6,2,3,5] => 10000 => [1,5]
[1,4,5,6,1,2] => [1,5,6,2,3,4] => 10000 => [1,5]
[1,4,5,6,2,1] => [1,5,6,2,3,4] => 10000 => [1,5]
[1,4,6,1,2,5] => [1,4,5,2,6,3] => 10000 => [1,5]
[1,4,6,1,5,2] => [1,4,6,2,5,3] => 10000 => [1,5]
[1,4,6,2,1,5] => [1,4,5,2,6,3] => 10000 => [1,5]
[1,4,6,2,5,1] => [1,4,6,2,5,3] => 10000 => [1,5]
[1,4,6,5,1,2] => [1,5,6,2,4,3] => 10000 => [1,5]
[1,4,6,5,2,1] => [1,5,6,2,4,3] => 10000 => [1,5]
[1,5,1,2,4,6] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,1,2,6,4] => [1,3,4,6,2,5] => 10000 => [1,5]
[1,5,1,4,2,6] => [1,3,5,4,2,6] => 10001 => [1,4,1]
[1,5,1,4,6,2] => [1,3,6,4,2,5] => 10000 => [1,5]
[1,5,1,6,2,4] => [1,3,5,6,2,4] => 10000 => [1,5]
[1,5,1,6,4,2] => [1,3,6,5,2,4] => 10000 => [1,5]
[1,5,2,1,4,6] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,2,1,6,4] => [1,3,4,6,2,5] => 10000 => [1,5]
[1,5,2,4,1,6] => [1,3,5,4,2,6] => 10001 => [1,4,1]
[1,5,2,4,6,1] => [1,3,6,4,2,5] => 10000 => [1,5]
[1,5,2,6,1,4] => [1,3,5,6,2,4] => 10000 => [1,5]
[1,5,2,6,4,1] => [1,3,6,5,2,4] => 10000 => [1,5]
[1,5,4,1,2,6] => [1,4,5,3,2,6] => 10001 => [1,4,1]
[1,5,4,1,6,2] => [1,4,6,3,2,5] => 10000 => [1,5]
[1,5,4,2,1,6] => [1,4,5,3,2,6] => 10001 => [1,4,1]
[1,5,4,2,6,1] => [1,4,6,3,2,5] => 10000 => [1,5]
[1,5,4,6,1,2] => [1,5,6,3,2,4] => 10000 => [1,5]
[1,5,4,6,2,1] => [1,5,6,3,2,4] => 10000 => [1,5]
[1,5,6,1,2,4] => [1,4,5,6,2,3] => 10000 => [1,5]
[1,5,6,1,4,2] => [1,4,6,5,2,3] => 10000 => [1,5]
[1,5,6,2,1,4] => [1,4,5,6,2,3] => 10000 => [1,5]
[1,5,6,2,4,1] => [1,4,6,5,2,3] => 10000 => [1,5]
[1,5,6,4,1,2] => [1,5,6,4,2,3] => 10000 => [1,5]
[1,5,6,4,2,1] => [1,5,6,4,2,3] => 10000 => [1,5]
[1,6,1,2,4,5] => [1,3,4,5,6,2] => 10000 => [1,5]
[1,6,1,2,5,4] => [1,3,4,6,5,2] => 10000 => [1,5]
[1,6,1,4,2,5] => [1,3,5,4,6,2] => 10000 => [1,5]
[1,6,1,4,5,2] => [1,3,6,4,5,2] => 10000 => [1,5]
[1,6,1,5,2,4] => [1,3,5,6,4,2] => 10000 => [1,5]
[1,6,1,5,4,2] => [1,3,6,5,4,2] => 10000 => [1,5]
[1,6,2,1,4,5] => [1,3,4,5,6,2] => 10000 => [1,5]
[1,6,2,1,5,4] => [1,3,4,6,5,2] => 10000 => [1,5]
[1,6,2,4,1,5] => [1,3,5,4,6,2] => 10000 => [1,5]
[1,6,2,4,5,1] => [1,3,6,4,5,2] => 10000 => [1,5]
[1,6,2,5,1,4] => [1,3,5,6,4,2] => 10000 => [1,5]
[1,6,2,5,4,1] => [1,3,6,5,4,2] => 10000 => [1,5]
[1,6,4,1,2,5] => [1,4,5,3,6,2] => 10000 => [1,5]
[1,6,4,1,5,2] => [1,4,6,3,5,2] => 10000 => [1,5]
[1,6,4,2,1,5] => [1,4,5,3,6,2] => 10000 => [1,5]
[1,6,4,2,5,1] => [1,4,6,3,5,2] => 10000 => [1,5]
[1,6,4,5,1,2] => [1,5,6,3,4,2] => 10000 => [1,5]
[1,6,4,5,2,1] => [1,5,6,3,4,2] => 10000 => [1,5]
[1,6,5,1,2,4] => [1,4,5,6,3,2] => 10000 => [1,5]
[1,6,5,1,4,2] => [1,4,6,5,3,2] => 10000 => [1,5]
[1,6,5,2,1,4] => [1,4,5,6,3,2] => 10000 => [1,5]
[1,6,5,2,4,1] => [1,4,6,5,3,2] => 10000 => [1,5]
[1,6,5,4,1,2] => [1,5,6,4,3,2] => 10000 => [1,5]
[1,6,5,4,2,1] => [1,5,6,4,3,2] => 10000 => [1,5]
[2,1,1,4,5,6] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,1,4,6,5] => [2,1,3,4,6,5] => 01110 => [2,1,1,2]
[2,1,1,5,4,6] => [2,1,3,5,4,6] => 01101 => [2,1,2,1]
[2,1,1,5,6,4] => [2,1,3,6,4,5] => 01100 => [2,1,3]
[2,1,1,6,4,5] => [2,1,3,5,6,4] => 01100 => [2,1,3]
[2,1,1,6,5,4] => [2,1,3,6,5,4] => 01100 => [2,1,3]
[2,1,4,1,5,6] => [2,1,4,3,5,6] => 01011 => [2,2,1,1]
[2,1,4,1,6,5] => [2,1,4,3,6,5] => 01010 => [2,2,2]
[2,1,4,5,1,6] => [2,1,5,3,4,6] => 01001 => [2,3,1]
[2,1,4,5,6,1] => [2,1,6,3,4,5] => 01000 => [2,4]
[2,1,4,6,1,5] => [2,1,5,3,6,4] => 01000 => [2,4]
[2,1,4,6,5,1] => [2,1,6,3,5,4] => 01000 => [2,4]
[2,1,5,1,4,6] => [2,1,4,5,3,6] => 01001 => [2,3,1]
[2,1,5,1,6,4] => [2,1,4,6,3,5] => 01000 => [2,4]
[2,1,5,4,1,6] => [2,1,5,4,3,6] => 01001 => [2,3,1]
[2,1,5,4,6,1] => [2,1,6,4,3,5] => 01000 => [2,4]
[2,1,5,6,1,4] => [2,1,5,6,3,4] => 01000 => [2,4]
[2,1,5,6,4,1] => [2,1,6,5,3,4] => 01000 => [2,4]
[2,1,6,1,4,5] => [2,1,4,5,6,3] => 01000 => [2,4]
[2,1,6,1,5,4] => [2,1,4,6,5,3] => 01000 => [2,4]
[2,1,6,4,1,5] => [2,1,5,4,6,3] => 01000 => [2,4]
[2,1,6,4,5,1] => [2,1,6,4,5,3] => 01000 => [2,4]
[2,1,6,5,1,4] => [2,1,5,6,4,3] => 01000 => [2,4]
[2,1,6,5,4,1] => [2,1,6,5,4,3] => 01000 => [2,4]
[2,4,1,1,5,6] => [3,1,4,2,5,6] => 00011 => [4,1,1]
[2,4,1,1,6,5] => [3,1,4,2,6,5] => 00010 => [4,2]
[2,4,1,5,1,6] => [3,1,5,2,4,6] => 00001 => [5,1]
[2,4,1,5,6,1] => [3,1,6,2,4,5] => 00000 => [6]
[2,4,1,6,1,5] => [3,1,5,2,6,4] => 00000 => [6]
[2,4,1,6,5,1] => [3,1,6,2,5,4] => 00000 => [6]
[2,4,5,1,1,6] => [4,1,5,2,3,6] => 00001 => [5,1]
[2,4,5,1,6,1] => [4,1,6,2,3,5] => 00000 => [6]
[2,4,5,6,1,1] => [5,1,6,2,3,4] => 00000 => [6]
[2,4,6,1,1,5] => [4,1,5,2,6,3] => 00000 => [6]
[2,4,6,1,5,1] => [4,1,6,2,5,3] => 00000 => [6]
[2,4,6,5,1,1] => [5,1,6,2,4,3] => 00000 => [6]
[2,5,1,1,4,6] => [3,1,4,5,2,6] => 00001 => [5,1]
[2,5,1,1,6,4] => [3,1,4,6,2,5] => 00000 => [6]
[2,5,1,4,1,6] => [3,1,5,4,2,6] => 00001 => [5,1]
[2,5,1,4,6,1] => [3,1,6,4,2,5] => 00000 => [6]
[2,5,1,6,1,4] => [3,1,5,6,2,4] => 00000 => [6]
[2,5,1,6,4,1] => [3,1,6,5,2,4] => 00000 => [6]
[2,5,4,1,1,6] => [4,1,5,3,2,6] => 00001 => [5,1]
[2,5,4,1,6,1] => [4,1,6,3,2,5] => 00000 => [6]
[2,5,4,6,1,1] => [5,1,6,3,2,4] => 00000 => [6]
[2,5,6,1,1,4] => [4,1,5,6,2,3] => 00000 => [6]
[2,5,6,1,4,1] => [4,1,6,5,2,3] => 00000 => [6]
[2,5,6,4,1,1] => [5,1,6,4,2,3] => 00000 => [6]
[2,6,1,1,4,5] => [3,1,4,5,6,2] => 00000 => [6]
[2,6,1,1,5,4] => [3,1,4,6,5,2] => 00000 => [6]
[2,6,1,4,1,5] => [3,1,5,4,6,2] => 00000 => [6]
[2,6,1,4,5,1] => [3,1,6,4,5,2] => 00000 => [6]
[2,6,1,5,1,4] => [3,1,5,6,4,2] => 00000 => [6]
[2,6,1,5,4,1] => [3,1,6,5,4,2] => 00000 => [6]
[2,6,4,1,1,5] => [4,1,5,3,6,2] => 00000 => [6]
[2,6,4,1,5,1] => [4,1,6,3,5,2] => 00000 => [6]
[2,6,4,5,1,1] => [5,1,6,3,4,2] => 00000 => [6]
[2,6,5,1,1,4] => [4,1,5,6,3,2] => 00000 => [6]
[2,6,5,1,4,1] => [4,1,6,5,3,2] => 00000 => [6]
[2,6,5,4,1,1] => [5,1,6,4,3,2] => 00000 => [6]
[4,1,1,2,5,6] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,1,2,6,5] => [2,3,4,1,6,5] => 00010 => [4,2]
[4,1,1,5,2,6] => [2,3,5,1,4,6] => 00001 => [5,1]
[4,1,1,5,6,2] => [2,3,6,1,4,5] => 00000 => [6]
[4,1,1,6,2,5] => [2,3,5,1,6,4] => 00000 => [6]
[4,1,1,6,5,2] => [2,3,6,1,5,4] => 00000 => [6]
[4,1,2,1,5,6] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,2,1,6,5] => [2,3,4,1,6,5] => 00010 => [4,2]
[4,1,2,5,1,6] => [2,3,5,1,4,6] => 00001 => [5,1]
[4,1,2,5,6,1] => [2,3,6,1,4,5] => 00000 => [6]
[4,1,2,6,1,5] => [2,3,5,1,6,4] => 00000 => [6]
[4,1,2,6,5,1] => [2,3,6,1,5,4] => 00000 => [6]
[4,1,5,1,2,6] => [2,4,5,1,3,6] => 00001 => [5,1]
[4,1,5,1,6,2] => [2,4,6,1,3,5] => 00000 => [6]
[4,1,5,2,1,6] => [2,4,5,1,3,6] => 00001 => [5,1]
[4,1,5,2,6,1] => [2,4,6,1,3,5] => 00000 => [6]
[4,1,5,6,1,2] => [2,5,6,1,3,4] => 00000 => [6]
[4,1,5,6,2,1] => [2,5,6,1,3,4] => 00000 => [6]
[4,1,6,1,2,5] => [2,4,5,1,6,3] => 00000 => [6]
[4,1,6,1,5,2] => [2,4,6,1,5,3] => 00000 => [6]
[4,1,6,2,1,5] => [2,4,5,1,6,3] => 00000 => [6]
[4,1,6,2,5,1] => [2,4,6,1,5,3] => 00000 => [6]
[4,1,6,5,1,2] => [2,5,6,1,4,3] => 00000 => [6]
[4,1,6,5,2,1] => [2,5,6,1,4,3] => 00000 => [6]
[4,2,1,1,5,6] => [3,2,4,1,5,6] => 00011 => [4,1,1]
[4,2,1,1,6,5] => [3,2,4,1,6,5] => 00010 => [4,2]
[4,2,1,5,1,6] => [3,2,5,1,4,6] => 00001 => [5,1]
[4,2,1,5,6,1] => [3,2,6,1,4,5] => 00000 => [6]
[4,2,1,6,1,5] => [3,2,5,1,6,4] => 00000 => [6]
[4,2,1,6,5,1] => [3,2,6,1,5,4] => 00000 => [6]
[4,2,5,1,1,6] => [4,2,5,1,3,6] => 00001 => [5,1]
[4,2,5,1,6,1] => [4,2,6,1,3,5] => 00000 => [6]
[4,2,5,6,1,1] => [5,2,6,1,3,4] => 00000 => [6]
[4,2,6,1,1,5] => [4,2,5,1,6,3] => 00000 => [6]
[4,2,6,1,5,1] => [4,2,6,1,5,3] => 00000 => [6]
[4,2,6,5,1,1] => [5,2,6,1,4,3] => 00000 => [6]
[4,5,1,1,2,6] => [3,4,5,1,2,6] => 00001 => [5,1]
[4,5,1,1,6,2] => [3,4,6,1,2,5] => 00000 => [6]
[4,5,1,2,1,6] => [3,4,5,1,2,6] => 00001 => [5,1]
[4,5,1,2,6,1] => [3,4,6,1,2,5] => 00000 => [6]
[4,5,1,6,1,2] => [3,5,6,1,2,4] => 00000 => [6]
[4,5,1,6,2,1] => [3,5,6,1,2,4] => 00000 => [6]
[4,5,2,1,1,6] => [4,3,5,1,2,6] => 00001 => [5,1]
[4,5,2,1,6,1] => [4,3,6,1,2,5] => 00000 => [6]
[4,5,2,6,1,1] => [5,3,6,1,2,4] => 00000 => [6]
[4,5,6,1,1,2] => [4,5,6,1,2,3] => 00000 => [6]
[4,5,6,1,2,1] => [4,5,6,1,2,3] => 00000 => [6]
[4,5,6,2,1,1] => [5,4,6,1,2,3] => 00000 => [6]
[4,6,1,1,2,5] => [3,4,5,1,6,2] => 00000 => [6]
[4,6,1,1,5,2] => [3,4,6,1,5,2] => 00000 => [6]
[4,6,1,2,1,5] => [3,4,5,1,6,2] => 00000 => [6]
[4,6,1,2,5,1] => [3,4,6,1,5,2] => 00000 => [6]
[4,6,1,5,1,2] => [3,5,6,1,4,2] => 00000 => [6]
[4,6,1,5,2,1] => [3,5,6,1,4,2] => 00000 => [6]
[4,6,2,1,1,5] => [4,3,5,1,6,2] => 00000 => [6]
[4,6,2,1,5,1] => [4,3,6,1,5,2] => 00000 => [6]
[4,6,2,5,1,1] => [5,3,6,1,4,2] => 00000 => [6]
[4,6,5,1,1,2] => [4,5,6,1,3,2] => 00000 => [6]
[4,6,5,1,2,1] => [4,5,6,1,3,2] => 00000 => [6]
[4,6,5,2,1,1] => [5,4,6,1,3,2] => 00000 => [6]
[5,1,1,2,4,6] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,1,2,6,4] => [2,3,4,6,1,5] => 00000 => [6]
[5,1,1,4,2,6] => [2,3,5,4,1,6] => 00001 => [5,1]
[5,1,1,4,6,2] => [2,3,6,4,1,5] => 00000 => [6]
[5,1,1,6,2,4] => [2,3,5,6,1,4] => 00000 => [6]
[5,1,1,6,4,2] => [2,3,6,5,1,4] => 00000 => [6]
[5,1,2,1,4,6] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,2,1,6,4] => [2,3,4,6,1,5] => 00000 => [6]
[5,1,2,4,1,6] => [2,3,5,4,1,6] => 00001 => [5,1]
[5,1,2,4,6,1] => [2,3,6,4,1,5] => 00000 => [6]
[5,1,2,6,1,4] => [2,3,5,6,1,4] => 00000 => [6]
[5,1,2,6,4,1] => [2,3,6,5,1,4] => 00000 => [6]
[5,1,4,1,2,6] => [2,4,5,3,1,6] => 00001 => [5,1]
[5,1,4,1,6,2] => [2,4,6,3,1,5] => 00000 => [6]
[5,1,4,2,1,6] => [2,4,5,3,1,6] => 00001 => [5,1]
[5,1,4,2,6,1] => [2,4,6,3,1,5] => 00000 => [6]
[5,1,4,6,1,2] => [2,5,6,3,1,4] => 00000 => [6]
[5,1,4,6,2,1] => [2,5,6,3,1,4] => 00000 => [6]
[5,1,6,1,2,4] => [2,4,5,6,1,3] => 00000 => [6]
[5,1,6,1,4,2] => [2,4,6,5,1,3] => 00000 => [6]
[5,1,6,2,1,4] => [2,4,5,6,1,3] => 00000 => [6]
[5,1,6,2,4,1] => [2,4,6,5,1,3] => 00000 => [6]
[5,1,6,4,1,2] => [2,5,6,4,1,3] => 00000 => [6]
[5,1,6,4,2,1] => [2,5,6,4,1,3] => 00000 => [6]
[5,2,1,1,4,6] => [3,2,4,5,1,6] => 00001 => [5,1]
[5,2,1,1,6,4] => [3,2,4,6,1,5] => 00000 => [6]
[5,2,1,4,1,6] => [3,2,5,4,1,6] => 00001 => [5,1]
[5,2,1,4,6,1] => [3,2,6,4,1,5] => 00000 => [6]
[5,2,1,6,1,4] => [3,2,5,6,1,4] => 00000 => [6]
[5,2,1,6,4,1] => [3,2,6,5,1,4] => 00000 => [6]
[5,2,4,1,1,6] => [4,2,5,3,1,6] => 00001 => [5,1]
[5,2,4,1,6,1] => [4,2,6,3,1,5] => 00000 => [6]
[5,2,4,6,1,1] => [5,2,6,3,1,4] => 00000 => [6]
[5,2,6,1,1,4] => [4,2,5,6,1,3] => 00000 => [6]
[5,2,6,1,4,1] => [4,2,6,5,1,3] => 00000 => [6]
[5,2,6,4,1,1] => [5,2,6,4,1,3] => 00000 => [6]
[5,4,1,1,2,6] => [3,4,5,2,1,6] => 00001 => [5,1]
[5,4,1,1,6,2] => [3,4,6,2,1,5] => 00000 => [6]
[5,4,1,2,1,6] => [3,4,5,2,1,6] => 00001 => [5,1]
[5,4,1,2,6,1] => [3,4,6,2,1,5] => 00000 => [6]
[5,4,1,6,1,2] => [3,5,6,2,1,4] => 00000 => [6]
[5,4,1,6,2,1] => [3,5,6,2,1,4] => 00000 => [6]
[5,4,2,1,1,6] => [4,3,5,2,1,6] => 00001 => [5,1]
[5,4,2,1,6,1] => [4,3,6,2,1,5] => 00000 => [6]
[5,4,2,6,1,1] => [5,3,6,2,1,4] => 00000 => [6]
[5,4,6,1,1,2] => [4,5,6,2,1,3] => 00000 => [6]
[5,4,6,1,2,1] => [4,5,6,2,1,3] => 00000 => [6]
[5,4,6,2,1,1] => [5,4,6,2,1,3] => 00000 => [6]
[5,6,1,1,2,4] => [3,4,5,6,1,2] => 00000 => [6]
[5,6,1,1,4,2] => [3,4,6,5,1,2] => 00000 => [6]
[5,6,1,2,1,4] => [3,4,5,6,1,2] => 00000 => [6]
[5,6,1,2,4,1] => [3,4,6,5,1,2] => 00000 => [6]
[5,6,1,4,1,2] => [3,5,6,4,1,2] => 00000 => [6]
[5,6,1,4,2,1] => [3,5,6,4,1,2] => 00000 => [6]
[5,6,2,1,1,4] => [4,3,5,6,1,2] => 00000 => [6]
[5,6,2,1,4,1] => [4,3,6,5,1,2] => 00000 => [6]
[5,6,2,4,1,1] => [5,3,6,4,1,2] => 00000 => [6]
[5,6,4,1,1,2] => [4,5,6,3,1,2] => 00000 => [6]
[5,6,4,1,2,1] => [4,5,6,3,1,2] => 00000 => [6]
[5,6,4,2,1,1] => [5,4,6,3,1,2] => 00000 => [6]
[6,1,1,2,4,5] => [2,3,4,5,6,1] => 00000 => [6]
[6,1,1,2,5,4] => [2,3,4,6,5,1] => 00000 => [6]
[6,1,1,4,2,5] => [2,3,5,4,6,1] => 00000 => [6]
[6,1,1,4,5,2] => [2,3,6,4,5,1] => 00000 => [6]
[6,1,1,5,2,4] => [2,3,5,6,4,1] => 00000 => [6]
[6,1,1,5,4,2] => [2,3,6,5,4,1] => 00000 => [6]
[6,1,2,1,4,5] => [2,3,4,5,6,1] => 00000 => [6]
[6,1,2,1,5,4] => [2,3,4,6,5,1] => 00000 => [6]
[6,1,2,4,1,5] => [2,3,5,4,6,1] => 00000 => [6]
[6,1,2,4,5,1] => [2,3,6,4,5,1] => 00000 => [6]
[6,1,2,5,1,4] => [2,3,5,6,4,1] => 00000 => [6]
[6,1,2,5,4,1] => [2,3,6,5,4,1] => 00000 => [6]
[6,1,4,1,2,5] => [2,4,5,3,6,1] => 00000 => [6]
[6,1,4,1,5,2] => [2,4,6,3,5,1] => 00000 => [6]
[6,1,4,2,1,5] => [2,4,5,3,6,1] => 00000 => [6]
[6,1,4,2,5,1] => [2,4,6,3,5,1] => 00000 => [6]
[6,1,4,5,1,2] => [2,5,6,3,4,1] => 00000 => [6]
[6,1,4,5,2,1] => [2,5,6,3,4,1] => 00000 => [6]
[6,1,5,1,2,4] => [2,4,5,6,3,1] => 00000 => [6]
[6,1,5,1,4,2] => [2,4,6,5,3,1] => 00000 => [6]
[6,1,5,2,1,4] => [2,4,5,6,3,1] => 00000 => [6]
[6,1,5,2,4,1] => [2,4,6,5,3,1] => 00000 => [6]
[6,1,5,4,1,2] => [2,5,6,4,3,1] => 00000 => [6]
[6,1,5,4,2,1] => [2,5,6,4,3,1] => 00000 => [6]
[6,2,1,1,4,5] => [3,2,4,5,6,1] => 00000 => [6]
[6,2,1,1,5,4] => [3,2,4,6,5,1] => 00000 => [6]
[6,2,1,4,1,5] => [3,2,5,4,6,1] => 00000 => [6]
[6,2,1,4,5,1] => [3,2,6,4,5,1] => 00000 => [6]
[6,2,1,5,1,4] => [3,2,5,6,4,1] => 00000 => [6]
[6,2,1,5,4,1] => [3,2,6,5,4,1] => 00000 => [6]
[6,2,4,1,1,5] => [4,2,5,3,6,1] => 00000 => [6]
[6,2,4,1,5,1] => [4,2,6,3,5,1] => 00000 => [6]
[6,2,4,5,1,1] => [5,2,6,3,4,1] => 00000 => [6]
[6,2,5,1,1,4] => [4,2,5,6,3,1] => 00000 => [6]
[6,2,5,1,4,1] => [4,2,6,5,3,1] => 00000 => [6]
[6,2,5,4,1,1] => [5,2,6,4,3,1] => 00000 => [6]
[6,4,1,1,2,5] => [3,4,5,2,6,1] => 00000 => [6]
[6,4,1,1,5,2] => [3,4,6,2,5,1] => 00000 => [6]
[6,4,1,2,1,5] => [3,4,5,2,6,1] => 00000 => [6]
[6,4,1,2,5,1] => [3,4,6,2,5,1] => 00000 => [6]
[6,4,1,5,1,2] => [3,5,6,2,4,1] => 00000 => [6]
[6,4,1,5,2,1] => [3,5,6,2,4,1] => 00000 => [6]
[6,4,2,1,1,5] => [4,3,5,2,6,1] => 00000 => [6]
[6,4,2,1,5,1] => [4,3,6,2,5,1] => 00000 => [6]
[6,4,2,5,1,1] => [5,3,6,2,4,1] => 00000 => [6]
[6,4,5,1,1,2] => [4,5,6,2,3,1] => 00000 => [6]
[6,4,5,1,2,1] => [4,5,6,2,3,1] => 00000 => [6]
[6,4,5,2,1,1] => [5,4,6,2,3,1] => 00000 => [6]
[6,5,1,1,2,4] => [3,4,5,6,2,1] => 00000 => [6]
[6,5,1,1,4,2] => [3,4,6,5,2,1] => 00000 => [6]
[6,5,1,2,1,4] => [3,4,5,6,2,1] => 00000 => [6]
[6,5,1,2,4,1] => [3,4,6,5,2,1] => 00000 => [6]
[6,5,1,4,1,2] => [3,5,6,4,2,1] => 00000 => [6]
[6,5,1,4,2,1] => [3,5,6,4,2,1] => 00000 => [6]
[6,5,2,1,1,4] => [4,3,5,6,2,1] => 00000 => [6]
[6,5,2,1,4,1] => [4,3,6,5,2,1] => 00000 => [6]
[6,5,2,4,1,1] => [5,3,6,4,2,1] => 00000 => [6]
[6,5,4,1,1,2] => [4,5,6,3,2,1] => 00000 => [6]
[6,5,4,1,2,1] => [4,5,6,3,2,1] => 00000 => [6]
[6,5,4,2,1,1] => [5,4,6,3,2,1] => 00000 => [6]
[1,1,3,3,3,3] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,3,1,3,3,3] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,3,1,3,3] => [1,4,2,3,5,6] => 10011 => [1,3,1,1]
[1,3,3,3,1,3] => [1,5,2,3,4,6] => 10001 => [1,4,1]
[1,3,3,3,3,1] => [1,6,2,3,4,5] => 10000 => [1,5]
[3,1,1,3,3,3] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,3,1,3,3] => [2,4,1,3,5,6] => 00011 => [4,1,1]
[3,1,3,3,1,3] => [2,5,1,3,4,6] => 00001 => [5,1]
[3,1,3,3,3,1] => [2,6,1,3,4,5] => 00000 => [6]
[3,3,1,1,3,3] => [3,4,1,2,5,6] => 00011 => [4,1,1]
[3,3,1,3,1,3] => [3,5,1,2,4,6] => 00001 => [5,1]
[3,3,1,3,3,1] => [3,6,1,2,4,5] => 00000 => [6]
[3,3,3,1,1,3] => [4,5,1,2,3,6] => 00001 => [5,1]
[3,3,3,1,3,1] => [4,6,1,2,3,5] => 00000 => [6]
[3,3,3,3,1,1] => [5,6,1,2,3,4] => 00000 => [6]
[1,1,3,3,3,4] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,3,3,4,3] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,3,4,3,3] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,4,3,3,3] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,3,1,3,3,4] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,1,3,4,3] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,1,4,3,3] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,3,1,3,4] => [1,4,2,3,5,6] => 10011 => [1,3,1,1]
[1,3,3,1,4,3] => [1,4,2,3,5,6] => 10011 => [1,3,1,1]
[1,3,3,3,1,4] => [1,5,2,3,4,6] => 10001 => [1,4,1]
[1,3,3,3,4,1] => [1,6,2,3,4,5] => 10000 => [1,5]
[1,3,3,4,1,3] => [1,5,2,3,4,6] => 10001 => [1,4,1]
[1,3,3,4,3,1] => [1,6,2,3,4,5] => 10000 => [1,5]
[1,3,4,1,3,3] => [1,4,2,3,5,6] => 10011 => [1,3,1,1]
[1,3,4,3,1,3] => [1,5,2,3,4,6] => 10001 => [1,4,1]
[1,3,4,3,3,1] => [1,6,2,3,4,5] => 10000 => [1,5]
[1,4,1,3,3,3] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,3,1,3,3] => [1,4,3,2,5,6] => 10011 => [1,3,1,1]
[1,4,3,3,1,3] => [1,5,3,2,4,6] => 10001 => [1,4,1]
[1,4,3,3,3,1] => [1,6,3,2,4,5] => 10000 => [1,5]
[3,1,1,3,3,4] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,1,3,4,3] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,1,4,3,3] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,3,1,3,4] => [2,4,1,3,5,6] => 00011 => [4,1,1]
[3,1,3,1,4,3] => [2,4,1,3,5,6] => 00011 => [4,1,1]
[3,1,3,3,1,4] => [2,5,1,3,4,6] => 00001 => [5,1]
[3,1,3,3,4,1] => [2,6,1,3,4,5] => 00000 => [6]
[3,1,3,4,1,3] => [2,5,1,3,4,6] => 00001 => [5,1]
[3,1,3,4,3,1] => [2,6,1,3,4,5] => 00000 => [6]
[3,1,4,1,3,3] => [2,4,1,3,5,6] => 00011 => [4,1,1]
[3,1,4,3,1,3] => [2,5,1,3,4,6] => 00001 => [5,1]
[3,1,4,3,3,1] => [2,6,1,3,4,5] => 00000 => [6]
[3,3,1,1,3,4] => [3,4,1,2,5,6] => 00011 => [4,1,1]
[3,3,1,1,4,3] => [3,4,1,2,5,6] => 00011 => [4,1,1]
[3,3,1,3,1,4] => [3,5,1,2,4,6] => 00001 => [5,1]
[3,3,1,3,4,1] => [3,6,1,2,4,5] => 00000 => [6]
[3,3,1,4,1,3] => [3,5,1,2,4,6] => 00001 => [5,1]
[3,3,1,4,3,1] => [3,6,1,2,4,5] => 00000 => [6]
[3,3,3,1,1,4] => [4,5,1,2,3,6] => 00001 => [5,1]
[3,3,3,1,4,1] => [4,6,1,2,3,5] => 00000 => [6]
[3,3,3,4,1,1] => [5,6,1,2,3,4] => 00000 => [6]
[3,3,4,1,1,3] => [4,5,1,2,3,6] => 00001 => [5,1]
[3,3,4,1,3,1] => [4,6,1,2,3,5] => 00000 => [6]
[3,3,4,3,1,1] => [5,6,1,2,3,4] => 00000 => [6]
[3,4,1,1,3,3] => [3,4,1,2,5,6] => 00011 => [4,1,1]
[3,4,1,3,1,3] => [3,5,1,2,4,6] => 00001 => [5,1]
[3,4,1,3,3,1] => [3,6,1,2,4,5] => 00000 => [6]
[3,4,3,1,1,3] => [4,5,1,2,3,6] => 00001 => [5,1]
[3,4,3,1,3,1] => [4,6,1,2,3,5] => 00000 => [6]
[3,4,3,3,1,1] => [5,6,1,2,3,4] => 00000 => [6]
[4,1,1,3,3,3] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,3,1,3,3] => [2,4,3,1,5,6] => 00011 => [4,1,1]
[4,1,3,3,1,3] => [2,5,3,1,4,6] => 00001 => [5,1]
[4,1,3,3,3,1] => [2,6,3,1,4,5] => 00000 => [6]
[4,3,1,1,3,3] => [3,4,2,1,5,6] => 00011 => [4,1,1]
[4,3,1,3,1,3] => [3,5,2,1,4,6] => 00001 => [5,1]
[4,3,1,3,3,1] => [3,6,2,1,4,5] => 00000 => [6]
[4,3,3,1,1,3] => [4,5,2,1,3,6] => 00001 => [5,1]
[4,3,3,1,3,1] => [4,6,2,1,3,5] => 00000 => [6]
[4,3,3,3,1,1] => [5,6,2,1,3,4] => 00000 => [6]
[1,1,3,3,3,5] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,3,3,5,3] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,3,5,3,3] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,1,5,3,3,3] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,3,1,3,3,5] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,1,3,5,3] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,1,5,3,3] => [1,3,2,5,4,6] => 10101 => [1,2,2,1]
[1,3,3,1,3,5] => [1,4,2,3,5,6] => 10011 => [1,3,1,1]
[1,3,3,1,5,3] => [1,4,2,3,5,6] => 10011 => [1,3,1,1]
[1,3,3,3,1,5] => [1,5,2,3,4,6] => 10001 => [1,4,1]
[1,3,3,3,5,1] => [1,6,2,3,4,5] => 10000 => [1,5]
[1,3,3,5,1,3] => [1,5,2,3,4,6] => 10001 => [1,4,1]
[1,3,3,5,3,1] => [1,6,2,3,4,5] => 10000 => [1,5]
[1,3,5,1,3,3] => [1,4,2,5,3,6] => 10001 => [1,4,1]
[1,3,5,3,1,3] => [1,5,2,4,3,6] => 10001 => [1,4,1]
[1,3,5,3,3,1] => [1,6,2,4,3,5] => 10000 => [1,5]
[1,5,1,3,3,3] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,3,1,3,3] => [1,4,3,5,2,6] => 10001 => [1,4,1]
[1,5,3,3,1,3] => [1,5,3,4,2,6] => 10001 => [1,4,1]
[1,5,3,3,3,1] => [1,6,3,4,2,5] => 10000 => [1,5]
[3,1,1,3,3,5] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,1,3,5,3] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,1,5,3,3] => [2,3,1,5,4,6] => 00101 => [3,2,1]
[3,1,3,1,3,5] => [2,4,1,3,5,6] => 00011 => [4,1,1]
[3,1,3,1,5,3] => [2,4,1,3,5,6] => 00011 => [4,1,1]
[3,1,3,3,1,5] => [2,5,1,3,4,6] => 00001 => [5,1]
[3,1,3,3,5,1] => [2,6,1,3,4,5] => 00000 => [6]
[3,1,3,5,1,3] => [2,5,1,3,4,6] => 00001 => [5,1]
[3,1,3,5,3,1] => [2,6,1,3,4,5] => 00000 => [6]
[3,1,5,1,3,3] => [2,4,1,5,3,6] => 00001 => [5,1]
[3,1,5,3,1,3] => [2,5,1,4,3,6] => 00001 => [5,1]
[3,1,5,3,3,1] => [2,6,1,4,3,5] => 00000 => [6]
[3,3,1,1,3,5] => [3,4,1,2,5,6] => 00011 => [4,1,1]
[3,3,1,1,5,3] => [3,4,1,2,5,6] => 00011 => [4,1,1]
[3,3,1,3,1,5] => [3,5,1,2,4,6] => 00001 => [5,1]
[3,3,1,3,5,1] => [3,6,1,2,4,5] => 00000 => [6]
[3,3,1,5,1,3] => [3,5,1,2,4,6] => 00001 => [5,1]
[3,3,1,5,3,1] => [3,6,1,2,4,5] => 00000 => [6]
[3,3,3,1,1,5] => [4,5,1,2,3,6] => 00001 => [5,1]
[3,3,3,1,5,1] => [4,6,1,2,3,5] => 00000 => [6]
[3,3,3,5,1,1] => [5,6,1,2,3,4] => 00000 => [6]
[3,3,5,1,1,3] => [4,5,1,2,3,6] => 00001 => [5,1]
[3,3,5,1,3,1] => [4,6,1,2,3,5] => 00000 => [6]
[3,3,5,3,1,1] => [5,6,1,2,3,4] => 00000 => [6]
[3,5,1,1,3,3] => [3,4,1,5,2,6] => 00001 => [5,1]
[3,5,1,3,1,3] => [3,5,1,4,2,6] => 00001 => [5,1]
[3,5,1,3,3,1] => [3,6,1,4,2,5] => 00000 => [6]
[3,5,3,1,1,3] => [4,5,1,3,2,6] => 00001 => [5,1]
[3,5,3,1,3,1] => [4,6,1,3,2,5] => 00000 => [6]
[3,5,3,3,1,1] => [5,6,1,3,2,4] => 00000 => [6]
[5,1,1,3,3,3] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,3,1,3,3] => [2,4,3,5,1,6] => 00001 => [5,1]
[5,1,3,3,1,3] => [2,5,3,4,1,6] => 00001 => [5,1]
[5,1,3,3,3,1] => [2,6,3,4,1,5] => 00000 => [6]
[5,3,1,1,3,3] => [3,4,2,5,1,6] => 00001 => [5,1]
[5,3,1,3,1,3] => [3,5,2,4,1,6] => 00001 => [5,1]
[5,3,1,3,3,1] => [3,6,2,4,1,5] => 00000 => [6]
[5,3,3,1,1,3] => [4,5,2,3,1,6] => 00001 => [5,1]
[5,3,3,1,3,1] => [4,6,2,3,1,5] => 00000 => [6]
[5,3,3,3,1,1] => [5,6,2,3,1,4] => 00000 => [6]
[1,1,3,3,3,6] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,3,3,6,3] => [1,2,3,4,6,5] => 11110 => [1,1,1,1,2]
[1,1,3,6,3,3] => [1,2,3,5,6,4] => 11100 => [1,1,1,3]
[1,1,6,3,3,3] => [1,2,4,5,6,3] => 11000 => [1,1,4]
[1,3,1,3,3,6] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,1,3,6,3] => [1,3,2,4,6,5] => 10110 => [1,2,1,2]
[1,3,1,6,3,3] => [1,3,2,5,6,4] => 10100 => [1,2,3]
[1,3,3,1,3,6] => [1,4,2,3,5,6] => 10011 => [1,3,1,1]
[1,3,3,1,6,3] => [1,4,2,3,6,5] => 10010 => [1,3,2]
[1,3,3,3,1,6] => [1,5,2,3,4,6] => 10001 => [1,4,1]
[1,3,3,3,6,1] => [1,6,2,3,4,5] => 10000 => [1,5]
[1,3,3,6,1,3] => [1,5,2,3,6,4] => 10000 => [1,5]
[1,3,3,6,3,1] => [1,6,2,3,5,4] => 10000 => [1,5]
[1,3,6,1,3,3] => [1,4,2,5,6,3] => 10000 => [1,5]
[1,3,6,3,1,3] => [1,5,2,4,6,3] => 10000 => [1,5]
[1,3,6,3,3,1] => [1,6,2,4,5,3] => 10000 => [1,5]
[1,6,1,3,3,3] => [1,3,4,5,6,2] => 10000 => [1,5]
[1,6,3,1,3,3] => [1,4,3,5,6,2] => 10000 => [1,5]
[1,6,3,3,1,3] => [1,5,3,4,6,2] => 10000 => [1,5]
[1,6,3,3,3,1] => [1,6,3,4,5,2] => 10000 => [1,5]
[3,1,1,3,3,6] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,1,3,6,3] => [2,3,1,4,6,5] => 00110 => [3,1,2]
[3,1,1,6,3,3] => [2,3,1,5,6,4] => 00100 => [3,3]
[3,1,3,1,3,6] => [2,4,1,3,5,6] => 00011 => [4,1,1]
[3,1,3,1,6,3] => [2,4,1,3,6,5] => 00010 => [4,2]
[3,1,3,3,1,6] => [2,5,1,3,4,6] => 00001 => [5,1]
[3,1,3,3,6,1] => [2,6,1,3,4,5] => 00000 => [6]
[3,1,3,6,1,3] => [2,5,1,3,6,4] => 00000 => [6]
[3,1,3,6,3,1] => [2,6,1,3,5,4] => 00000 => [6]
[3,1,6,1,3,3] => [2,4,1,5,6,3] => 00000 => [6]
[3,1,6,3,1,3] => [2,5,1,4,6,3] => 00000 => [6]
[3,1,6,3,3,1] => [2,6,1,4,5,3] => 00000 => [6]
[3,3,1,1,3,6] => [3,4,1,2,5,6] => 00011 => [4,1,1]
[3,3,1,1,6,3] => [3,4,1,2,6,5] => 00010 => [4,2]
[3,3,1,3,1,6] => [3,5,1,2,4,6] => 00001 => [5,1]
[3,3,1,3,6,1] => [3,6,1,2,4,5] => 00000 => [6]
[3,3,1,6,1,3] => [3,5,1,2,6,4] => 00000 => [6]
[3,3,1,6,3,1] => [3,6,1,2,5,4] => 00000 => [6]
[3,3,3,1,1,6] => [4,5,1,2,3,6] => 00001 => [5,1]
[3,3,3,1,6,1] => [4,6,1,2,3,5] => 00000 => [6]
[3,3,3,6,1,1] => [5,6,1,2,3,4] => 00000 => [6]
[3,3,6,1,1,3] => [4,5,1,2,6,3] => 00000 => [6]
[3,3,6,1,3,1] => [4,6,1,2,5,3] => 00000 => [6]
[3,3,6,3,1,1] => [5,6,1,2,4,3] => 00000 => [6]
[3,6,1,1,3,3] => [3,4,1,5,6,2] => 00000 => [6]
[3,6,1,3,1,3] => [3,5,1,4,6,2] => 00000 => [6]
[3,6,1,3,3,1] => [3,6,1,4,5,2] => 00000 => [6]
[3,6,3,1,1,3] => [4,5,1,3,6,2] => 00000 => [6]
[3,6,3,1,3,1] => [4,6,1,3,5,2] => 00000 => [6]
[3,6,3,3,1,1] => [5,6,1,3,4,2] => 00000 => [6]
[6,1,1,3,3,3] => [2,3,4,5,6,1] => 00000 => [6]
[6,1,3,1,3,3] => [2,4,3,5,6,1] => 00000 => [6]
[6,1,3,3,1,3] => [2,5,3,4,6,1] => 00000 => [6]
[6,1,3,3,3,1] => [2,6,3,4,5,1] => 00000 => [6]
[6,3,1,1,3,3] => [3,4,2,5,6,1] => 00000 => [6]
[6,3,1,3,1,3] => [3,5,2,4,6,1] => 00000 => [6]
[6,3,1,3,3,1] => [3,6,2,4,5,1] => 00000 => [6]
[6,3,3,1,1,3] => [4,5,2,3,6,1] => 00000 => [6]
[6,3,3,1,3,1] => [4,6,2,3,5,1] => 00000 => [6]
[6,3,3,3,1,1] => [5,6,2,3,4,1] => 00000 => [6]
[1,1,3,3,4,4] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,3,4,3,4] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,3,4,4,3] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,4,3,3,4] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,1,4,3,4,3] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,1,4,4,3,3] => [1,2,5,3,4,6] => 11001 => [1,1,3,1]
[1,3,1,3,4,4] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,1,4,3,4] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,1,4,4,3] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,3,1,4,4] => [1,4,2,3,5,6] => 10011 => [1,3,1,1]
[1,3,3,4,1,4] => [1,5,2,3,4,6] => 10001 => [1,4,1]
[1,3,3,4,4,1] => [1,6,2,3,4,5] => 10000 => [1,5]
[1,3,4,1,3,4] => [1,4,2,3,5,6] => 10011 => [1,3,1,1]
[1,3,4,1,4,3] => [1,4,2,3,5,6] => 10011 => [1,3,1,1]
[1,3,4,3,1,4] => [1,5,2,3,4,6] => 10001 => [1,4,1]
[1,3,4,3,4,1] => [1,6,2,3,4,5] => 10000 => [1,5]
[1,3,4,4,1,3] => [1,5,2,3,4,6] => 10001 => [1,4,1]
[1,3,4,4,3,1] => [1,6,2,3,4,5] => 10000 => [1,5]
[1,4,1,3,3,4] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,1,3,4,3] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,1,4,3,3] => [1,3,5,2,4,6] => 10001 => [1,4,1]
[1,4,3,1,3,4] => [1,4,3,2,5,6] => 10011 => [1,3,1,1]
[1,4,3,1,4,3] => [1,4,3,2,5,6] => 10011 => [1,3,1,1]
[1,4,3,3,1,4] => [1,5,3,2,4,6] => 10001 => [1,4,1]
[1,4,3,3,4,1] => [1,6,3,2,4,5] => 10000 => [1,5]
[1,4,3,4,1,3] => [1,5,3,2,4,6] => 10001 => [1,4,1]
[1,4,3,4,3,1] => [1,6,3,2,4,5] => 10000 => [1,5]
[1,4,4,1,3,3] => [1,4,5,2,3,6] => 10001 => [1,4,1]
[1,4,4,3,1,3] => [1,5,4,2,3,6] => 10001 => [1,4,1]
[1,4,4,3,3,1] => [1,6,4,2,3,5] => 10000 => [1,5]
[3,1,1,3,4,4] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,1,4,3,4] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,1,4,4,3] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,3,1,4,4] => [2,4,1,3,5,6] => 00011 => [4,1,1]
[3,1,3,4,1,4] => [2,5,1,3,4,6] => 00001 => [5,1]
[3,1,3,4,4,1] => [2,6,1,3,4,5] => 00000 => [6]
[3,1,4,1,3,4] => [2,4,1,3,5,6] => 00011 => [4,1,1]
[3,1,4,1,4,3] => [2,4,1,3,5,6] => 00011 => [4,1,1]
[3,1,4,3,1,4] => [2,5,1,3,4,6] => 00001 => [5,1]
[3,1,4,3,4,1] => [2,6,1,3,4,5] => 00000 => [6]
[3,1,4,4,1,3] => [2,5,1,3,4,6] => 00001 => [5,1]
[3,1,4,4,3,1] => [2,6,1,3,4,5] => 00000 => [6]
[3,3,1,1,4,4] => [3,4,1,2,5,6] => 00011 => [4,1,1]
[3,3,1,4,1,4] => [3,5,1,2,4,6] => 00001 => [5,1]
[3,3,1,4,4,1] => [3,6,1,2,4,5] => 00000 => [6]
[3,3,4,1,1,4] => [4,5,1,2,3,6] => 00001 => [5,1]
[3,3,4,1,4,1] => [4,6,1,2,3,5] => 00000 => [6]
[3,3,4,4,1,1] => [5,6,1,2,3,4] => 00000 => [6]
[3,4,1,1,3,4] => [3,4,1,2,5,6] => 00011 => [4,1,1]
[3,4,1,1,4,3] => [3,4,1,2,5,6] => 00011 => [4,1,1]
[3,4,1,3,1,4] => [3,5,1,2,4,6] => 00001 => [5,1]
[3,4,1,3,4,1] => [3,6,1,2,4,5] => 00000 => [6]
[3,4,1,4,1,3] => [3,5,1,2,4,6] => 00001 => [5,1]
[3,4,1,4,3,1] => [3,6,1,2,4,5] => 00000 => [6]
[3,4,3,1,1,4] => [4,5,1,2,3,6] => 00001 => [5,1]
[3,4,3,1,4,1] => [4,6,1,2,3,5] => 00000 => [6]
[3,4,3,4,1,1] => [5,6,1,2,3,4] => 00000 => [6]
[3,4,4,1,1,3] => [4,5,1,2,3,6] => 00001 => [5,1]
[3,4,4,1,3,1] => [4,6,1,2,3,5] => 00000 => [6]
[3,4,4,3,1,1] => [5,6,1,2,3,4] => 00000 => [6]
[4,1,1,3,3,4] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,1,3,4,3] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,1,4,3,3] => [2,3,5,1,4,6] => 00001 => [5,1]
[4,1,3,1,3,4] => [2,4,3,1,5,6] => 00011 => [4,1,1]
[4,1,3,1,4,3] => [2,4,3,1,5,6] => 00011 => [4,1,1]
[4,1,3,3,1,4] => [2,5,3,1,4,6] => 00001 => [5,1]
[4,1,3,3,4,1] => [2,6,3,1,4,5] => 00000 => [6]
[4,1,3,4,1,3] => [2,5,3,1,4,6] => 00001 => [5,1]
[4,1,3,4,3,1] => [2,6,3,1,4,5] => 00000 => [6]
[4,1,4,1,3,3] => [2,4,5,1,3,6] => 00001 => [5,1]
[4,1,4,3,1,3] => [2,5,4,1,3,6] => 00001 => [5,1]
[4,1,4,3,3,1] => [2,6,4,1,3,5] => 00000 => [6]
[4,3,1,1,3,4] => [3,4,2,1,5,6] => 00011 => [4,1,1]
[4,3,1,1,4,3] => [3,4,2,1,5,6] => 00011 => [4,1,1]
[4,3,1,3,1,4] => [3,5,2,1,4,6] => 00001 => [5,1]
[4,3,1,3,4,1] => [3,6,2,1,4,5] => 00000 => [6]
[4,3,1,4,1,3] => [3,5,2,1,4,6] => 00001 => [5,1]
[4,3,1,4,3,1] => [3,6,2,1,4,5] => 00000 => [6]
[4,3,3,1,1,4] => [4,5,2,1,3,6] => 00001 => [5,1]
[4,3,3,1,4,1] => [4,6,2,1,3,5] => 00000 => [6]
[4,3,3,4,1,1] => [5,6,2,1,3,4] => 00000 => [6]
[4,3,4,1,1,3] => [4,5,2,1,3,6] => 00001 => [5,1]
[4,3,4,1,3,1] => [4,6,2,1,3,5] => 00000 => [6]
[4,3,4,3,1,1] => [5,6,2,1,3,4] => 00000 => [6]
[4,4,1,1,3,3] => [3,4,5,1,2,6] => 00001 => [5,1]
[4,4,1,3,1,3] => [3,5,4,1,2,6] => 00001 => [5,1]
[4,4,1,3,3,1] => [3,6,4,1,2,5] => 00000 => [6]
[4,4,3,1,1,3] => [4,5,3,1,2,6] => 00001 => [5,1]
[4,4,3,1,3,1] => [4,6,3,1,2,5] => 00000 => [6]
[4,4,3,3,1,1] => [5,6,3,1,2,4] => 00000 => [6]
[1,1,3,3,4,5] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,3,3,5,4] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,3,4,3,5] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,3,4,5,3] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,3,5,3,4] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,1,3,5,4,3] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,1,4,3,3,5] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,1,4,3,5,3] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,1,4,5,3,3] => [1,2,5,3,4,6] => 11001 => [1,1,3,1]
[1,1,5,3,3,4] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,1,5,3,4,3] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,1,5,4,3,3] => [1,2,5,4,3,6] => 11001 => [1,1,3,1]
[1,3,1,3,4,5] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,1,3,5,4] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,1,4,3,5] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,1,4,5,3] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,1,5,3,4] => [1,3,2,5,4,6] => 10101 => [1,2,2,1]
[1,3,1,5,4,3] => [1,3,2,5,4,6] => 10101 => [1,2,2,1]
[1,3,3,1,4,5] => [1,4,2,3,5,6] => 10011 => [1,3,1,1]
[1,3,3,1,5,4] => [1,4,2,3,5,6] => 10011 => [1,3,1,1]
[1,3,3,4,1,5] => [1,5,2,3,4,6] => 10001 => [1,4,1]
[1,3,3,4,5,1] => [1,6,2,3,4,5] => 10000 => [1,5]
[1,3,3,5,1,4] => [1,5,2,3,4,6] => 10001 => [1,4,1]
[1,3,3,5,4,1] => [1,6,2,3,4,5] => 10000 => [1,5]
[1,3,4,1,3,5] => [1,4,2,3,5,6] => 10011 => [1,3,1,1]
[1,3,4,1,5,3] => [1,4,2,3,5,6] => 10011 => [1,3,1,1]
[1,3,4,3,1,5] => [1,5,2,3,4,6] => 10001 => [1,4,1]
[1,3,4,3,5,1] => [1,6,2,3,4,5] => 10000 => [1,5]
[1,3,4,5,1,3] => [1,5,2,3,4,6] => 10001 => [1,4,1]
[1,3,4,5,3,1] => [1,6,2,3,4,5] => 10000 => [1,5]
[1,3,5,1,3,4] => [1,4,2,5,3,6] => 10001 => [1,4,1]
[1,3,5,1,4,3] => [1,4,2,5,3,6] => 10001 => [1,4,1]
[1,3,5,3,1,4] => [1,5,2,4,3,6] => 10001 => [1,4,1]
[1,3,5,3,4,1] => [1,6,2,4,3,5] => 10000 => [1,5]
[1,3,5,4,1,3] => [1,5,2,4,3,6] => 10001 => [1,4,1]
[1,3,5,4,3,1] => [1,6,2,4,3,5] => 10000 => [1,5]
[1,4,1,3,3,5] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,1,3,5,3] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,1,5,3,3] => [1,3,5,2,4,6] => 10001 => [1,4,1]
[1,4,3,1,3,5] => [1,4,3,2,5,6] => 10011 => [1,3,1,1]
[1,4,3,1,5,3] => [1,4,3,2,5,6] => 10011 => [1,3,1,1]
[1,4,3,3,1,5] => [1,5,3,2,4,6] => 10001 => [1,4,1]
[1,4,3,3,5,1] => [1,6,3,2,4,5] => 10000 => [1,5]
[1,4,3,5,1,3] => [1,5,3,2,4,6] => 10001 => [1,4,1]
[1,4,3,5,3,1] => [1,6,3,2,4,5] => 10000 => [1,5]
[1,4,5,1,3,3] => [1,4,5,2,3,6] => 10001 => [1,4,1]
[1,4,5,3,1,3] => [1,5,4,2,3,6] => 10001 => [1,4,1]
[1,4,5,3,3,1] => [1,6,4,2,3,5] => 10000 => [1,5]
[1,5,1,3,3,4] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,1,3,4,3] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,1,4,3,3] => [1,3,5,4,2,6] => 10001 => [1,4,1]
[1,5,3,1,3,4] => [1,4,3,5,2,6] => 10001 => [1,4,1]
[1,5,3,1,4,3] => [1,4,3,5,2,6] => 10001 => [1,4,1]
[1,5,3,3,1,4] => [1,5,3,4,2,6] => 10001 => [1,4,1]
[1,5,3,3,4,1] => [1,6,3,4,2,5] => 10000 => [1,5]
[1,5,3,4,1,3] => [1,5,3,4,2,6] => 10001 => [1,4,1]
[1,5,3,4,3,1] => [1,6,3,4,2,5] => 10000 => [1,5]
[1,5,4,1,3,3] => [1,4,5,3,2,6] => 10001 => [1,4,1]
[1,5,4,3,1,3] => [1,5,4,3,2,6] => 10001 => [1,4,1]
[1,5,4,3,3,1] => [1,6,4,3,2,5] => 10000 => [1,5]
[3,1,1,3,4,5] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,1,3,5,4] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,1,4,3,5] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,1,4,5,3] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,1,5,3,4] => [2,3,1,5,4,6] => 00101 => [3,2,1]
[3,1,1,5,4,3] => [2,3,1,5,4,6] => 00101 => [3,2,1]
[3,1,3,1,4,5] => [2,4,1,3,5,6] => 00011 => [4,1,1]
[3,1,3,1,5,4] => [2,4,1,3,5,6] => 00011 => [4,1,1]
[3,1,3,4,1,5] => [2,5,1,3,4,6] => 00001 => [5,1]
[3,1,3,4,5,1] => [2,6,1,3,4,5] => 00000 => [6]
[3,1,3,5,1,4] => [2,5,1,3,4,6] => 00001 => [5,1]
[3,1,3,5,4,1] => [2,6,1,3,4,5] => 00000 => [6]
[3,1,4,1,3,5] => [2,4,1,3,5,6] => 00011 => [4,1,1]
[3,1,4,1,5,3] => [2,4,1,3,5,6] => 00011 => [4,1,1]
[3,1,4,3,1,5] => [2,5,1,3,4,6] => 00001 => [5,1]
[3,1,4,3,5,1] => [2,6,1,3,4,5] => 00000 => [6]
[3,1,4,5,1,3] => [2,5,1,3,4,6] => 00001 => [5,1]
[3,1,4,5,3,1] => [2,6,1,3,4,5] => 00000 => [6]
[3,1,5,1,3,4] => [2,4,1,5,3,6] => 00001 => [5,1]
[3,1,5,1,4,3] => [2,4,1,5,3,6] => 00001 => [5,1]
[3,1,5,3,1,4] => [2,5,1,4,3,6] => 00001 => [5,1]
[3,1,5,3,4,1] => [2,6,1,4,3,5] => 00000 => [6]
[3,1,5,4,1,3] => [2,5,1,4,3,6] => 00001 => [5,1]
[3,1,5,4,3,1] => [2,6,1,4,3,5] => 00000 => [6]
[3,3,1,1,4,5] => [3,4,1,2,5,6] => 00011 => [4,1,1]
[3,3,1,1,5,4] => [3,4,1,2,5,6] => 00011 => [4,1,1]
[3,3,1,4,1,5] => [3,5,1,2,4,6] => 00001 => [5,1]
[3,3,1,4,5,1] => [3,6,1,2,4,5] => 00000 => [6]
[3,3,1,5,1,4] => [3,5,1,2,4,6] => 00001 => [5,1]
[3,3,1,5,4,1] => [3,6,1,2,4,5] => 00000 => [6]
[3,3,4,1,1,5] => [4,5,1,2,3,6] => 00001 => [5,1]
[3,3,4,1,5,1] => [4,6,1,2,3,5] => 00000 => [6]
[3,3,4,5,1,1] => [5,6,1,2,3,4] => 00000 => [6]
[3,3,5,1,1,4] => [4,5,1,2,3,6] => 00001 => [5,1]
[3,3,5,1,4,1] => [4,6,1,2,3,5] => 00000 => [6]
[3,3,5,4,1,1] => [5,6,1,2,3,4] => 00000 => [6]
[3,4,1,1,3,5] => [3,4,1,2,5,6] => 00011 => [4,1,1]
[3,4,1,1,5,3] => [3,4,1,2,5,6] => 00011 => [4,1,1]
[3,4,1,3,1,5] => [3,5,1,2,4,6] => 00001 => [5,1]
[3,4,1,3,5,1] => [3,6,1,2,4,5] => 00000 => [6]
[3,4,1,5,1,3] => [3,5,1,2,4,6] => 00001 => [5,1]
[3,4,1,5,3,1] => [3,6,1,2,4,5] => 00000 => [6]
[3,4,3,1,1,5] => [4,5,1,2,3,6] => 00001 => [5,1]
[3,4,3,1,5,1] => [4,6,1,2,3,5] => 00000 => [6]
[3,4,3,5,1,1] => [5,6,1,2,3,4] => 00000 => [6]
[3,4,5,1,1,3] => [4,5,1,2,3,6] => 00001 => [5,1]
[3,4,5,1,3,1] => [4,6,1,2,3,5] => 00000 => [6]
[3,4,5,3,1,1] => [5,6,1,2,3,4] => 00000 => [6]
[3,5,1,1,3,4] => [3,4,1,5,2,6] => 00001 => [5,1]
[3,5,1,1,4,3] => [3,4,1,5,2,6] => 00001 => [5,1]
[3,5,1,3,1,4] => [3,5,1,4,2,6] => 00001 => [5,1]
[3,5,1,3,4,1] => [3,6,1,4,2,5] => 00000 => [6]
[3,5,1,4,1,3] => [3,5,1,4,2,6] => 00001 => [5,1]
[3,5,1,4,3,1] => [3,6,1,4,2,5] => 00000 => [6]
[3,5,3,1,1,4] => [4,5,1,3,2,6] => 00001 => [5,1]
[3,5,3,1,4,1] => [4,6,1,3,2,5] => 00000 => [6]
[3,5,3,4,1,1] => [5,6,1,3,2,4] => 00000 => [6]
[3,5,4,1,1,3] => [4,5,1,3,2,6] => 00001 => [5,1]
[3,5,4,1,3,1] => [4,6,1,3,2,5] => 00000 => [6]
[3,5,4,3,1,1] => [5,6,1,3,2,4] => 00000 => [6]
[4,1,1,3,3,5] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,1,3,5,3] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,1,5,3,3] => [2,3,5,1,4,6] => 00001 => [5,1]
[4,1,3,1,3,5] => [2,4,3,1,5,6] => 00011 => [4,1,1]
[4,1,3,1,5,3] => [2,4,3,1,5,6] => 00011 => [4,1,1]
[4,1,3,3,1,5] => [2,5,3,1,4,6] => 00001 => [5,1]
[4,1,3,3,5,1] => [2,6,3,1,4,5] => 00000 => [6]
[4,1,3,5,1,3] => [2,5,3,1,4,6] => 00001 => [5,1]
[4,1,3,5,3,1] => [2,6,3,1,4,5] => 00000 => [6]
[4,1,5,1,3,3] => [2,4,5,1,3,6] => 00001 => [5,1]
[4,1,5,3,1,3] => [2,5,4,1,3,6] => 00001 => [5,1]
[4,1,5,3,3,1] => [2,6,4,1,3,5] => 00000 => [6]
[4,3,1,1,3,5] => [3,4,2,1,5,6] => 00011 => [4,1,1]
[4,3,1,1,5,3] => [3,4,2,1,5,6] => 00011 => [4,1,1]
[4,3,1,3,1,5] => [3,5,2,1,4,6] => 00001 => [5,1]
[4,3,1,3,5,1] => [3,6,2,1,4,5] => 00000 => [6]
[4,3,1,5,1,3] => [3,5,2,1,4,6] => 00001 => [5,1]
[4,3,1,5,3,1] => [3,6,2,1,4,5] => 00000 => [6]
[4,3,3,1,1,5] => [4,5,2,1,3,6] => 00001 => [5,1]
[4,3,3,1,5,1] => [4,6,2,1,3,5] => 00000 => [6]
[4,3,3,5,1,1] => [5,6,2,1,3,4] => 00000 => [6]
[4,3,5,1,1,3] => [4,5,2,1,3,6] => 00001 => [5,1]
[4,3,5,1,3,1] => [4,6,2,1,3,5] => 00000 => [6]
[4,3,5,3,1,1] => [5,6,2,1,3,4] => 00000 => [6]
[4,5,1,1,3,3] => [3,4,5,1,2,6] => 00001 => [5,1]
[4,5,1,3,1,3] => [3,5,4,1,2,6] => 00001 => [5,1]
[4,5,1,3,3,1] => [3,6,4,1,2,5] => 00000 => [6]
[4,5,3,1,1,3] => [4,5,3,1,2,6] => 00001 => [5,1]
[4,5,3,1,3,1] => [4,6,3,1,2,5] => 00000 => [6]
[4,5,3,3,1,1] => [5,6,3,1,2,4] => 00000 => [6]
[5,1,1,3,3,4] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,1,3,4,3] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,1,4,3,3] => [2,3,5,4,1,6] => 00001 => [5,1]
[5,1,3,1,3,4] => [2,4,3,5,1,6] => 00001 => [5,1]
[5,1,3,1,4,3] => [2,4,3,5,1,6] => 00001 => [5,1]
[5,1,3,3,1,4] => [2,5,3,4,1,6] => 00001 => [5,1]
[5,1,3,3,4,1] => [2,6,3,4,1,5] => 00000 => [6]
[5,1,3,4,1,3] => [2,5,3,4,1,6] => 00001 => [5,1]
[5,1,3,4,3,1] => [2,6,3,4,1,5] => 00000 => [6]
[5,1,4,1,3,3] => [2,4,5,3,1,6] => 00001 => [5,1]
[5,1,4,3,1,3] => [2,5,4,3,1,6] => 00001 => [5,1]
[5,1,4,3,3,1] => [2,6,4,3,1,5] => 00000 => [6]
[5,3,1,1,3,4] => [3,4,2,5,1,6] => 00001 => [5,1]
[5,3,1,1,4,3] => [3,4,2,5,1,6] => 00001 => [5,1]
[5,3,1,3,1,4] => [3,5,2,4,1,6] => 00001 => [5,1]
[5,3,1,3,4,1] => [3,6,2,4,1,5] => 00000 => [6]
[5,3,1,4,1,3] => [3,5,2,4,1,6] => 00001 => [5,1]
[5,3,1,4,3,1] => [3,6,2,4,1,5] => 00000 => [6]
[5,3,3,1,1,4] => [4,5,2,3,1,6] => 00001 => [5,1]
[5,3,3,1,4,1] => [4,6,2,3,1,5] => 00000 => [6]
[5,3,3,4,1,1] => [5,6,2,3,1,4] => 00000 => [6]
[5,3,4,1,1,3] => [4,5,2,3,1,6] => 00001 => [5,1]
[5,3,4,1,3,1] => [4,6,2,3,1,5] => 00000 => [6]
[5,3,4,3,1,1] => [5,6,2,3,1,4] => 00000 => [6]
[5,4,1,1,3,3] => [3,4,5,2,1,6] => 00001 => [5,1]
[5,4,1,3,1,3] => [3,5,4,2,1,6] => 00001 => [5,1]
[5,4,1,3,3,1] => [3,6,4,2,1,5] => 00000 => [6]
[5,4,3,1,1,3] => [4,5,3,2,1,6] => 00001 => [5,1]
[5,4,3,1,3,1] => [4,6,3,2,1,5] => 00000 => [6]
[5,4,3,3,1,1] => [5,6,3,2,1,4] => 00000 => [6]
[1,1,3,3,4,6] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,3,3,6,4] => [1,2,3,4,6,5] => 11110 => [1,1,1,1,2]
[1,1,3,4,3,6] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,3,4,6,3] => [1,2,3,4,6,5] => 11110 => [1,1,1,1,2]
[1,1,3,6,3,4] => [1,2,3,5,6,4] => 11100 => [1,1,1,3]
[1,1,3,6,4,3] => [1,2,3,5,6,4] => 11100 => [1,1,1,3]
[1,1,4,3,3,6] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,1,4,3,6,3] => [1,2,4,3,6,5] => 11010 => [1,1,2,2]
[1,1,4,6,3,3] => [1,2,5,3,6,4] => 11000 => [1,1,4]
[1,1,6,3,3,4] => [1,2,4,5,6,3] => 11000 => [1,1,4]
[1,1,6,3,4,3] => [1,2,4,5,6,3] => 11000 => [1,1,4]
[1,1,6,4,3,3] => [1,2,5,4,6,3] => 11000 => [1,1,4]
[1,3,1,3,4,6] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,1,3,6,4] => [1,3,2,4,6,5] => 10110 => [1,2,1,2]
[1,3,1,4,3,6] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,1,4,6,3] => [1,3,2,4,6,5] => 10110 => [1,2,1,2]
[1,3,1,6,3,4] => [1,3,2,5,6,4] => 10100 => [1,2,3]
[1,3,1,6,4,3] => [1,3,2,5,6,4] => 10100 => [1,2,3]
[1,3,3,1,4,6] => [1,4,2,3,5,6] => 10011 => [1,3,1,1]
[1,3,3,1,6,4] => [1,4,2,3,6,5] => 10010 => [1,3,2]
[1,3,3,4,1,6] => [1,5,2,3,4,6] => 10001 => [1,4,1]
[1,3,3,4,6,1] => [1,6,2,3,4,5] => 10000 => [1,5]
[1,3,3,6,1,4] => [1,5,2,3,6,4] => 10000 => [1,5]
[1,3,3,6,4,1] => [1,6,2,3,5,4] => 10000 => [1,5]
[1,3,4,1,3,6] => [1,4,2,3,5,6] => 10011 => [1,3,1,1]
[1,3,4,1,6,3] => [1,4,2,3,6,5] => 10010 => [1,3,2]
[1,3,4,3,1,6] => [1,5,2,3,4,6] => 10001 => [1,4,1]
[1,3,4,3,6,1] => [1,6,2,3,4,5] => 10000 => [1,5]
[1,3,4,6,1,3] => [1,5,2,3,6,4] => 10000 => [1,5]
[1,3,4,6,3,1] => [1,6,2,3,5,4] => 10000 => [1,5]
[1,3,6,1,3,4] => [1,4,2,5,6,3] => 10000 => [1,5]
[1,3,6,1,4,3] => [1,4,2,5,6,3] => 10000 => [1,5]
[1,3,6,3,1,4] => [1,5,2,4,6,3] => 10000 => [1,5]
[1,3,6,3,4,1] => [1,6,2,4,5,3] => 10000 => [1,5]
[1,3,6,4,1,3] => [1,5,2,4,6,3] => 10000 => [1,5]
[1,3,6,4,3,1] => [1,6,2,4,5,3] => 10000 => [1,5]
[1,4,1,3,3,6] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,1,3,6,3] => [1,3,4,2,6,5] => 10010 => [1,3,2]
[1,4,1,6,3,3] => [1,3,5,2,6,4] => 10000 => [1,5]
[1,4,3,1,3,6] => [1,4,3,2,5,6] => 10011 => [1,3,1,1]
[1,4,3,1,6,3] => [1,4,3,2,6,5] => 10010 => [1,3,2]
[1,4,3,3,1,6] => [1,5,3,2,4,6] => 10001 => [1,4,1]
[1,4,3,3,6,1] => [1,6,3,2,4,5] => 10000 => [1,5]
[1,4,3,6,1,3] => [1,5,3,2,6,4] => 10000 => [1,5]
[1,4,3,6,3,1] => [1,6,3,2,5,4] => 10000 => [1,5]
[1,4,6,1,3,3] => [1,4,5,2,6,3] => 10000 => [1,5]
[1,4,6,3,1,3] => [1,5,4,2,6,3] => 10000 => [1,5]
[1,4,6,3,3,1] => [1,6,4,2,5,3] => 10000 => [1,5]
[1,6,1,3,3,4] => [1,3,4,5,6,2] => 10000 => [1,5]
[1,6,1,3,4,3] => [1,3,4,5,6,2] => 10000 => [1,5]
[1,6,1,4,3,3] => [1,3,5,4,6,2] => 10000 => [1,5]
[1,6,3,1,3,4] => [1,4,3,5,6,2] => 10000 => [1,5]
[1,6,3,1,4,3] => [1,4,3,5,6,2] => 10000 => [1,5]
[1,6,3,3,1,4] => [1,5,3,4,6,2] => 10000 => [1,5]
[1,6,3,3,4,1] => [1,6,3,4,5,2] => 10000 => [1,5]
[1,6,3,4,1,3] => [1,5,3,4,6,2] => 10000 => [1,5]
[1,6,3,4,3,1] => [1,6,3,4,5,2] => 10000 => [1,5]
[1,6,4,1,3,3] => [1,4,5,3,6,2] => 10000 => [1,5]
[1,6,4,3,1,3] => [1,5,4,3,6,2] => 10000 => [1,5]
[1,6,4,3,3,1] => [1,6,4,3,5,2] => 10000 => [1,5]
[3,1,1,3,4,6] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,1,3,6,4] => [2,3,1,4,6,5] => 00110 => [3,1,2]
[3,1,1,4,3,6] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,1,4,6,3] => [2,3,1,4,6,5] => 00110 => [3,1,2]
[3,1,1,6,3,4] => [2,3,1,5,6,4] => 00100 => [3,3]
[3,1,1,6,4,3] => [2,3,1,5,6,4] => 00100 => [3,3]
[3,1,3,1,4,6] => [2,4,1,3,5,6] => 00011 => [4,1,1]
[3,1,3,1,6,4] => [2,4,1,3,6,5] => 00010 => [4,2]
[3,1,3,4,1,6] => [2,5,1,3,4,6] => 00001 => [5,1]
[3,1,3,4,6,1] => [2,6,1,3,4,5] => 00000 => [6]
[3,1,3,6,1,4] => [2,5,1,3,6,4] => 00000 => [6]
[3,1,3,6,4,1] => [2,6,1,3,5,4] => 00000 => [6]
[3,1,4,1,3,6] => [2,4,1,3,5,6] => 00011 => [4,1,1]
[3,1,4,1,6,3] => [2,4,1,3,6,5] => 00010 => [4,2]
[3,1,4,3,1,6] => [2,5,1,3,4,6] => 00001 => [5,1]
[3,1,4,3,6,1] => [2,6,1,3,4,5] => 00000 => [6]
[3,1,4,6,1,3] => [2,5,1,3,6,4] => 00000 => [6]
[3,1,4,6,3,1] => [2,6,1,3,5,4] => 00000 => [6]
[3,1,6,1,3,4] => [2,4,1,5,6,3] => 00000 => [6]
[3,1,6,1,4,3] => [2,4,1,5,6,3] => 00000 => [6]
[3,1,6,3,1,4] => [2,5,1,4,6,3] => 00000 => [6]
[3,1,6,3,4,1] => [2,6,1,4,5,3] => 00000 => [6]
[3,1,6,4,1,3] => [2,5,1,4,6,3] => 00000 => [6]
[3,1,6,4,3,1] => [2,6,1,4,5,3] => 00000 => [6]
[3,3,1,1,4,6] => [3,4,1,2,5,6] => 00011 => [4,1,1]
[3,3,1,1,6,4] => [3,4,1,2,6,5] => 00010 => [4,2]
[3,3,1,4,1,6] => [3,5,1,2,4,6] => 00001 => [5,1]
[3,3,1,4,6,1] => [3,6,1,2,4,5] => 00000 => [6]
[3,3,1,6,1,4] => [3,5,1,2,6,4] => 00000 => [6]
[3,3,1,6,4,1] => [3,6,1,2,5,4] => 00000 => [6]
[3,3,4,1,1,6] => [4,5,1,2,3,6] => 00001 => [5,1]
[3,3,4,1,6,1] => [4,6,1,2,3,5] => 00000 => [6]
[3,3,4,6,1,1] => [5,6,1,2,3,4] => 00000 => [6]
[3,3,6,1,1,4] => [4,5,1,2,6,3] => 00000 => [6]
[3,3,6,1,4,1] => [4,6,1,2,5,3] => 00000 => [6]
[3,3,6,4,1,1] => [5,6,1,2,4,3] => 00000 => [6]
[3,4,1,1,3,6] => [3,4,1,2,5,6] => 00011 => [4,1,1]
[3,4,1,1,6,3] => [3,4,1,2,6,5] => 00010 => [4,2]
[3,4,1,3,1,6] => [3,5,1,2,4,6] => 00001 => [5,1]
[3,4,1,3,6,1] => [3,6,1,2,4,5] => 00000 => [6]
[3,4,1,6,1,3] => [3,5,1,2,6,4] => 00000 => [6]
[3,4,1,6,3,1] => [3,6,1,2,5,4] => 00000 => [6]
[3,4,3,1,1,6] => [4,5,1,2,3,6] => 00001 => [5,1]
[3,4,3,1,6,1] => [4,6,1,2,3,5] => 00000 => [6]
[3,4,3,6,1,1] => [5,6,1,2,3,4] => 00000 => [6]
[3,4,6,1,1,3] => [4,5,1,2,6,3] => 00000 => [6]
[3,4,6,1,3,1] => [4,6,1,2,5,3] => 00000 => [6]
[3,4,6,3,1,1] => [5,6,1,2,4,3] => 00000 => [6]
[3,6,1,1,3,4] => [3,4,1,5,6,2] => 00000 => [6]
[3,6,1,1,4,3] => [3,4,1,5,6,2] => 00000 => [6]
[3,6,1,3,1,4] => [3,5,1,4,6,2] => 00000 => [6]
[3,6,1,3,4,1] => [3,6,1,4,5,2] => 00000 => [6]
[3,6,1,4,1,3] => [3,5,1,4,6,2] => 00000 => [6]
[3,6,1,4,3,1] => [3,6,1,4,5,2] => 00000 => [6]
[3,6,3,1,1,4] => [4,5,1,3,6,2] => 00000 => [6]
[3,6,3,1,4,1] => [4,6,1,3,5,2] => 00000 => [6]
[3,6,3,4,1,1] => [5,6,1,3,4,2] => 00000 => [6]
[3,6,4,1,1,3] => [4,5,1,3,6,2] => 00000 => [6]
[3,6,4,1,3,1] => [4,6,1,3,5,2] => 00000 => [6]
[3,6,4,3,1,1] => [5,6,1,3,4,2] => 00000 => [6]
[4,1,1,3,3,6] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,1,3,6,3] => [2,3,4,1,6,5] => 00010 => [4,2]
[4,1,1,6,3,3] => [2,3,5,1,6,4] => 00000 => [6]
[4,1,3,1,3,6] => [2,4,3,1,5,6] => 00011 => [4,1,1]
[4,1,3,1,6,3] => [2,4,3,1,6,5] => 00010 => [4,2]
[4,1,3,3,1,6] => [2,5,3,1,4,6] => 00001 => [5,1]
[4,1,3,3,6,1] => [2,6,3,1,4,5] => 00000 => [6]
[4,1,3,6,1,3] => [2,5,3,1,6,4] => 00000 => [6]
[4,1,3,6,3,1] => [2,6,3,1,5,4] => 00000 => [6]
[4,1,6,1,3,3] => [2,4,5,1,6,3] => 00000 => [6]
[4,1,6,3,1,3] => [2,5,4,1,6,3] => 00000 => [6]
[4,1,6,3,3,1] => [2,6,4,1,5,3] => 00000 => [6]
[4,3,1,1,3,6] => [3,4,2,1,5,6] => 00011 => [4,1,1]
[4,3,1,1,6,3] => [3,4,2,1,6,5] => 00010 => [4,2]
[4,3,1,3,1,6] => [3,5,2,1,4,6] => 00001 => [5,1]
[4,3,1,3,6,1] => [3,6,2,1,4,5] => 00000 => [6]
[4,3,1,6,1,3] => [3,5,2,1,6,4] => 00000 => [6]
[4,3,1,6,3,1] => [3,6,2,1,5,4] => 00000 => [6]
[4,3,3,1,1,6] => [4,5,2,1,3,6] => 00001 => [5,1]
[4,3,3,1,6,1] => [4,6,2,1,3,5] => 00000 => [6]
[4,3,3,6,1,1] => [5,6,2,1,3,4] => 00000 => [6]
[4,3,6,1,1,3] => [4,5,2,1,6,3] => 00000 => [6]
[4,3,6,1,3,1] => [4,6,2,1,5,3] => 00000 => [6]
[4,3,6,3,1,1] => [5,6,2,1,4,3] => 00000 => [6]
[4,6,1,1,3,3] => [3,4,5,1,6,2] => 00000 => [6]
[4,6,1,3,1,3] => [3,5,4,1,6,2] => 00000 => [6]
[4,6,1,3,3,1] => [3,6,4,1,5,2] => 00000 => [6]
[4,6,3,1,1,3] => [4,5,3,1,6,2] => 00000 => [6]
[4,6,3,1,3,1] => [4,6,3,1,5,2] => 00000 => [6]
[4,6,3,3,1,1] => [5,6,3,1,4,2] => 00000 => [6]
[6,1,1,3,3,4] => [2,3,4,5,6,1] => 00000 => [6]
[6,1,1,3,4,3] => [2,3,4,5,6,1] => 00000 => [6]
[6,1,1,4,3,3] => [2,3,5,4,6,1] => 00000 => [6]
[6,1,3,1,3,4] => [2,4,3,5,6,1] => 00000 => [6]
[6,1,3,1,4,3] => [2,4,3,5,6,1] => 00000 => [6]
[6,1,3,3,1,4] => [2,5,3,4,6,1] => 00000 => [6]
[6,1,3,3,4,1] => [2,6,3,4,5,1] => 00000 => [6]
[6,1,3,4,1,3] => [2,5,3,4,6,1] => 00000 => [6]
[6,1,3,4,3,1] => [2,6,3,4,5,1] => 00000 => [6]
[6,1,4,1,3,3] => [2,4,5,3,6,1] => 00000 => [6]
[6,1,4,3,1,3] => [2,5,4,3,6,1] => 00000 => [6]
[6,1,4,3,3,1] => [2,6,4,3,5,1] => 00000 => [6]
[6,3,1,1,3,4] => [3,4,2,5,6,1] => 00000 => [6]
[6,3,1,1,4,3] => [3,4,2,5,6,1] => 00000 => [6]
[6,3,1,3,1,4] => [3,5,2,4,6,1] => 00000 => [6]
[6,3,1,3,4,1] => [3,6,2,4,5,1] => 00000 => [6]
[6,3,1,4,1,3] => [3,5,2,4,6,1] => 00000 => [6]
[6,3,1,4,3,1] => [3,6,2,4,5,1] => 00000 => [6]
[6,3,3,1,1,4] => [4,5,2,3,6,1] => 00000 => [6]
[6,3,3,1,4,1] => [4,6,2,3,5,1] => 00000 => [6]
[6,3,3,4,1,1] => [5,6,2,3,4,1] => 00000 => [6]
[6,3,4,1,1,3] => [4,5,2,3,6,1] => 00000 => [6]
[6,3,4,1,3,1] => [4,6,2,3,5,1] => 00000 => [6]
[6,3,4,3,1,1] => [5,6,2,3,4,1] => 00000 => [6]
[6,4,1,1,3,3] => [3,4,5,2,6,1] => 00000 => [6]
[6,4,1,3,1,3] => [3,5,4,2,6,1] => 00000 => [6]
[6,4,1,3,3,1] => [3,6,4,2,5,1] => 00000 => [6]
[6,4,3,1,1,3] => [4,5,3,2,6,1] => 00000 => [6]
[6,4,3,1,3,1] => [4,6,3,2,5,1] => 00000 => [6]
[6,4,3,3,1,1] => [5,6,3,2,4,1] => 00000 => [6]
[1,1,3,3,5,5] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,3,5,3,5] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,1,3,5,5,3] => [1,2,3,6,4,5] => 11100 => [1,1,1,3]
[1,1,5,3,3,5] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,1,5,3,5,3] => [1,2,4,6,3,5] => 11000 => [1,1,4]
[1,1,5,5,3,3] => [1,2,5,6,3,4] => 11000 => [1,1,4]
[1,3,1,3,5,5] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,1,5,3,5] => [1,3,2,5,4,6] => 10101 => [1,2,2,1]
[1,3,1,5,5,3] => [1,3,2,6,4,5] => 10100 => [1,2,3]
[1,3,3,1,5,5] => [1,4,2,3,5,6] => 10011 => [1,3,1,1]
[1,3,3,5,1,5] => [1,5,2,3,4,6] => 10001 => [1,4,1]
[1,3,3,5,5,1] => [1,6,2,3,4,5] => 10000 => [1,5]
[1,3,5,1,3,5] => [1,4,2,5,3,6] => 10001 => [1,4,1]
[1,3,5,1,5,3] => [1,4,2,6,3,5] => 10000 => [1,5]
[1,3,5,3,1,5] => [1,5,2,4,3,6] => 10001 => [1,4,1]
[1,3,5,3,5,1] => [1,6,2,4,3,5] => 10000 => [1,5]
[1,3,5,5,1,3] => [1,5,2,6,3,4] => 10000 => [1,5]
[1,3,5,5,3,1] => [1,6,2,5,3,4] => 10000 => [1,5]
[1,5,1,3,3,5] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,1,3,5,3] => [1,3,4,6,2,5] => 10000 => [1,5]
[1,5,1,5,3,3] => [1,3,5,6,2,4] => 10000 => [1,5]
[1,5,3,1,3,5] => [1,4,3,5,2,6] => 10001 => [1,4,1]
[1,5,3,1,5,3] => [1,4,3,6,2,5] => 10000 => [1,5]
[1,5,3,3,1,5] => [1,5,3,4,2,6] => 10001 => [1,4,1]
[1,5,3,3,5,1] => [1,6,3,4,2,5] => 10000 => [1,5]
[1,5,3,5,1,3] => [1,5,3,6,2,4] => 10000 => [1,5]
[1,5,3,5,3,1] => [1,6,3,5,2,4] => 10000 => [1,5]
[1,5,5,1,3,3] => [1,4,5,6,2,3] => 10000 => [1,5]
[1,5,5,3,1,3] => [1,5,4,6,2,3] => 10000 => [1,5]
[1,5,5,3,3,1] => [1,6,4,5,2,3] => 10000 => [1,5]
[3,1,1,3,5,5] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,1,5,3,5] => [2,3,1,5,4,6] => 00101 => [3,2,1]
[3,1,1,5,5,3] => [2,3,1,6,4,5] => 00100 => [3,3]
[3,1,3,1,5,5] => [2,4,1,3,5,6] => 00011 => [4,1,1]
[3,1,3,5,1,5] => [2,5,1,3,4,6] => 00001 => [5,1]
[3,1,3,5,5,1] => [2,6,1,3,4,5] => 00000 => [6]
[3,1,5,1,3,5] => [2,4,1,5,3,6] => 00001 => [5,1]
[3,1,5,1,5,3] => [2,4,1,6,3,5] => 00000 => [6]
[3,1,5,3,1,5] => [2,5,1,4,3,6] => 00001 => [5,1]
[3,1,5,3,5,1] => [2,6,1,4,3,5] => 00000 => [6]
[3,1,5,5,1,3] => [2,5,1,6,3,4] => 00000 => [6]
[3,1,5,5,3,1] => [2,6,1,5,3,4] => 00000 => [6]
[3,3,1,1,5,5] => [3,4,1,2,5,6] => 00011 => [4,1,1]
[3,3,1,5,1,5] => [3,5,1,2,4,6] => 00001 => [5,1]
[3,3,1,5,5,1] => [3,6,1,2,4,5] => 00000 => [6]
[3,3,5,1,1,5] => [4,5,1,2,3,6] => 00001 => [5,1]
[3,3,5,1,5,1] => [4,6,1,2,3,5] => 00000 => [6]
[3,3,5,5,1,1] => [5,6,1,2,3,4] => 00000 => [6]
[3,5,1,1,3,5] => [3,4,1,5,2,6] => 00001 => [5,1]
[3,5,1,1,5,3] => [3,4,1,6,2,5] => 00000 => [6]
[3,5,1,3,1,5] => [3,5,1,4,2,6] => 00001 => [5,1]
[3,5,1,3,5,1] => [3,6,1,4,2,5] => 00000 => [6]
[3,5,1,5,1,3] => [3,5,1,6,2,4] => 00000 => [6]
[3,5,1,5,3,1] => [3,6,1,5,2,4] => 00000 => [6]
[3,5,3,1,1,5] => [4,5,1,3,2,6] => 00001 => [5,1]
[3,5,3,1,5,1] => [4,6,1,3,2,5] => 00000 => [6]
[3,5,3,5,1,1] => [5,6,1,3,2,4] => 00000 => [6]
[3,5,5,1,1,3] => [4,5,1,6,2,3] => 00000 => [6]
[3,5,5,1,3,1] => [4,6,1,5,2,3] => 00000 => [6]
[3,5,5,3,1,1] => [5,6,1,4,2,3] => 00000 => [6]
[5,1,1,3,3,5] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,1,3,5,3] => [2,3,4,6,1,5] => 00000 => [6]
[5,1,1,5,3,3] => [2,3,5,6,1,4] => 00000 => [6]
[5,1,3,1,3,5] => [2,4,3,5,1,6] => 00001 => [5,1]
[5,1,3,1,5,3] => [2,4,3,6,1,5] => 00000 => [6]
[5,1,3,3,1,5] => [2,5,3,4,1,6] => 00001 => [5,1]
[5,1,3,3,5,1] => [2,6,3,4,1,5] => 00000 => [6]
[5,1,3,5,1,3] => [2,5,3,6,1,4] => 00000 => [6]
[5,1,3,5,3,1] => [2,6,3,5,1,4] => 00000 => [6]
[5,1,5,1,3,3] => [2,4,5,6,1,3] => 00000 => [6]
[5,1,5,3,1,3] => [2,5,4,6,1,3] => 00000 => [6]
[5,1,5,3,3,1] => [2,6,4,5,1,3] => 00000 => [6]
[5,3,1,1,3,5] => [3,4,2,5,1,6] => 00001 => [5,1]
[5,3,1,1,5,3] => [3,4,2,6,1,5] => 00000 => [6]
[5,3,1,3,1,5] => [3,5,2,4,1,6] => 00001 => [5,1]
[5,3,1,3,5,1] => [3,6,2,4,1,5] => 00000 => [6]
[5,3,1,5,1,3] => [3,5,2,6,1,4] => 00000 => [6]
[5,3,1,5,3,1] => [3,6,2,5,1,4] => 00000 => [6]
[5,3,3,1,1,5] => [4,5,2,3,1,6] => 00001 => [5,1]
[5,3,3,1,5,1] => [4,6,2,3,1,5] => 00000 => [6]
[5,3,3,5,1,1] => [5,6,2,3,1,4] => 00000 => [6]
[5,3,5,1,1,3] => [4,5,2,6,1,3] => 00000 => [6]
[5,3,5,1,3,1] => [4,6,2,5,1,3] => 00000 => [6]
[5,3,5,3,1,1] => [5,6,2,4,1,3] => 00000 => [6]
[5,5,1,1,3,3] => [3,4,5,6,1,2] => 00000 => [6]
[5,5,1,3,1,3] => [3,5,4,6,1,2] => 00000 => [6]
[5,5,1,3,3,1] => [3,6,4,5,1,2] => 00000 => [6]
[5,5,3,1,1,3] => [4,5,3,6,1,2] => 00000 => [6]
[5,5,3,1,3,1] => [4,6,3,5,1,2] => 00000 => [6]
[5,5,3,3,1,1] => [5,6,3,4,1,2] => 00000 => [6]
[1,1,3,3,5,6] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,3,3,6,5] => [1,2,3,4,6,5] => 11110 => [1,1,1,1,2]
[1,1,3,5,3,6] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,1,3,5,6,3] => [1,2,3,6,4,5] => 11100 => [1,1,1,3]
[1,1,3,6,3,5] => [1,2,3,5,6,4] => 11100 => [1,1,1,3]
[1,1,3,6,5,3] => [1,2,3,6,5,4] => 11100 => [1,1,1,3]
[1,1,5,3,3,6] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,1,5,3,6,3] => [1,2,4,6,3,5] => 11000 => [1,1,4]
[1,1,5,6,3,3] => [1,2,5,6,3,4] => 11000 => [1,1,4]
[1,1,6,3,3,5] => [1,2,4,5,6,3] => 11000 => [1,1,4]
[1,1,6,3,5,3] => [1,2,4,6,5,3] => 11000 => [1,1,4]
[1,1,6,5,3,3] => [1,2,5,6,4,3] => 11000 => [1,1,4]
[1,3,1,3,5,6] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,1,3,6,5] => [1,3,2,4,6,5] => 10110 => [1,2,1,2]
[1,3,1,5,3,6] => [1,3,2,5,4,6] => 10101 => [1,2,2,1]
[1,3,1,5,6,3] => [1,3,2,6,4,5] => 10100 => [1,2,3]
[1,3,1,6,3,5] => [1,3,2,5,6,4] => 10100 => [1,2,3]
[1,3,1,6,5,3] => [1,3,2,6,5,4] => 10100 => [1,2,3]
[1,3,3,1,5,6] => [1,4,2,3,5,6] => 10011 => [1,3,1,1]
[1,3,3,1,6,5] => [1,4,2,3,6,5] => 10010 => [1,3,2]
[1,3,3,5,1,6] => [1,5,2,3,4,6] => 10001 => [1,4,1]
[1,3,3,5,6,1] => [1,6,2,3,4,5] => 10000 => [1,5]
[1,3,3,6,1,5] => [1,5,2,3,6,4] => 10000 => [1,5]
[1,3,3,6,5,1] => [1,6,2,3,5,4] => 10000 => [1,5]
[1,3,5,1,3,6] => [1,4,2,5,3,6] => 10001 => [1,4,1]
[1,3,5,1,6,3] => [1,4,2,6,3,5] => 10000 => [1,5]
[1,3,5,3,1,6] => [1,5,2,4,3,6] => 10001 => [1,4,1]
[1,3,5,3,6,1] => [1,6,2,4,3,5] => 10000 => [1,5]
[1,3,5,6,1,3] => [1,5,2,6,3,4] => 10000 => [1,5]
[1,3,5,6,3,1] => [1,6,2,5,3,4] => 10000 => [1,5]
[1,3,6,1,3,5] => [1,4,2,5,6,3] => 10000 => [1,5]
[1,3,6,1,5,3] => [1,4,2,6,5,3] => 10000 => [1,5]
[1,3,6,3,1,5] => [1,5,2,4,6,3] => 10000 => [1,5]
[1,3,6,3,5,1] => [1,6,2,4,5,3] => 10000 => [1,5]
[1,3,6,5,1,3] => [1,5,2,6,4,3] => 10000 => [1,5]
[1,3,6,5,3,1] => [1,6,2,5,4,3] => 10000 => [1,5]
[1,5,1,3,3,6] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,1,3,6,3] => [1,3,4,6,2,5] => 10000 => [1,5]
[1,5,1,6,3,3] => [1,3,5,6,2,4] => 10000 => [1,5]
[1,5,3,1,3,6] => [1,4,3,5,2,6] => 10001 => [1,4,1]
[1,5,3,1,6,3] => [1,4,3,6,2,5] => 10000 => [1,5]
[1,5,3,3,1,6] => [1,5,3,4,2,6] => 10001 => [1,4,1]
[1,5,3,3,6,1] => [1,6,3,4,2,5] => 10000 => [1,5]
[1,5,3,6,1,3] => [1,5,3,6,2,4] => 10000 => [1,5]
[1,5,3,6,3,1] => [1,6,3,5,2,4] => 10000 => [1,5]
[1,5,6,1,3,3] => [1,4,5,6,2,3] => 10000 => [1,5]
[1,5,6,3,1,3] => [1,5,4,6,2,3] => 10000 => [1,5]
[1,5,6,3,3,1] => [1,6,4,5,2,3] => 10000 => [1,5]
[1,6,1,3,3,5] => [1,3,4,5,6,2] => 10000 => [1,5]
[1,6,1,3,5,3] => [1,3,4,6,5,2] => 10000 => [1,5]
[1,6,1,5,3,3] => [1,3,5,6,4,2] => 10000 => [1,5]
[1,6,3,1,3,5] => [1,4,3,5,6,2] => 10000 => [1,5]
[1,6,3,1,5,3] => [1,4,3,6,5,2] => 10000 => [1,5]
[1,6,3,3,1,5] => [1,5,3,4,6,2] => 10000 => [1,5]
[1,6,3,3,5,1] => [1,6,3,4,5,2] => 10000 => [1,5]
[1,6,3,5,1,3] => [1,5,3,6,4,2] => 10000 => [1,5]
[1,6,3,5,3,1] => [1,6,3,5,4,2] => 10000 => [1,5]
[1,6,5,1,3,3] => [1,4,5,6,3,2] => 10000 => [1,5]
[1,6,5,3,1,3] => [1,5,4,6,3,2] => 10000 => [1,5]
[1,6,5,3,3,1] => [1,6,4,5,3,2] => 10000 => [1,5]
[3,1,1,3,5,6] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,1,3,6,5] => [2,3,1,4,6,5] => 00110 => [3,1,2]
[3,1,1,5,3,6] => [2,3,1,5,4,6] => 00101 => [3,2,1]
[3,1,1,5,6,3] => [2,3,1,6,4,5] => 00100 => [3,3]
[3,1,1,6,3,5] => [2,3,1,5,6,4] => 00100 => [3,3]
[3,1,1,6,5,3] => [2,3,1,6,5,4] => 00100 => [3,3]
[3,1,3,1,5,6] => [2,4,1,3,5,6] => 00011 => [4,1,1]
[3,1,3,1,6,5] => [2,4,1,3,6,5] => 00010 => [4,2]
[3,1,3,5,1,6] => [2,5,1,3,4,6] => 00001 => [5,1]
[3,1,3,5,6,1] => [2,6,1,3,4,5] => 00000 => [6]
[3,1,3,6,1,5] => [2,5,1,3,6,4] => 00000 => [6]
[3,1,3,6,5,1] => [2,6,1,3,5,4] => 00000 => [6]
[3,1,5,1,3,6] => [2,4,1,5,3,6] => 00001 => [5,1]
[3,1,5,1,6,3] => [2,4,1,6,3,5] => 00000 => [6]
[3,1,5,3,1,6] => [2,5,1,4,3,6] => 00001 => [5,1]
[3,1,5,3,6,1] => [2,6,1,4,3,5] => 00000 => [6]
[3,1,5,6,1,3] => [2,5,1,6,3,4] => 00000 => [6]
[3,1,5,6,3,1] => [2,6,1,5,3,4] => 00000 => [6]
[3,1,6,1,3,5] => [2,4,1,5,6,3] => 00000 => [6]
[3,1,6,1,5,3] => [2,4,1,6,5,3] => 00000 => [6]
[3,1,6,3,1,5] => [2,5,1,4,6,3] => 00000 => [6]
[3,1,6,3,5,1] => [2,6,1,4,5,3] => 00000 => [6]
[3,1,6,5,1,3] => [2,5,1,6,4,3] => 00000 => [6]
[3,1,6,5,3,1] => [2,6,1,5,4,3] => 00000 => [6]
[3,3,1,1,5,6] => [3,4,1,2,5,6] => 00011 => [4,1,1]
[3,3,1,1,6,5] => [3,4,1,2,6,5] => 00010 => [4,2]
[3,3,1,5,1,6] => [3,5,1,2,4,6] => 00001 => [5,1]
[3,3,1,5,6,1] => [3,6,1,2,4,5] => 00000 => [6]
[3,3,1,6,1,5] => [3,5,1,2,6,4] => 00000 => [6]
[3,3,1,6,5,1] => [3,6,1,2,5,4] => 00000 => [6]
[3,3,5,1,1,6] => [4,5,1,2,3,6] => 00001 => [5,1]
[3,3,5,1,6,1] => [4,6,1,2,3,5] => 00000 => [6]
[3,3,5,6,1,1] => [5,6,1,2,3,4] => 00000 => [6]
[3,3,6,1,1,5] => [4,5,1,2,6,3] => 00000 => [6]
[3,3,6,1,5,1] => [4,6,1,2,5,3] => 00000 => [6]
[3,3,6,5,1,1] => [5,6,1,2,4,3] => 00000 => [6]
[3,5,1,1,3,6] => [3,4,1,5,2,6] => 00001 => [5,1]
[3,5,1,1,6,3] => [3,4,1,6,2,5] => 00000 => [6]
[3,5,1,3,1,6] => [3,5,1,4,2,6] => 00001 => [5,1]
[3,5,1,3,6,1] => [3,6,1,4,2,5] => 00000 => [6]
[3,5,1,6,1,3] => [3,5,1,6,2,4] => 00000 => [6]
[3,5,1,6,3,1] => [3,6,1,5,2,4] => 00000 => [6]
[3,5,3,1,1,6] => [4,5,1,3,2,6] => 00001 => [5,1]
[3,5,3,1,6,1] => [4,6,1,3,2,5] => 00000 => [6]
[3,5,3,6,1,1] => [5,6,1,3,2,4] => 00000 => [6]
[3,5,6,1,1,3] => [4,5,1,6,2,3] => 00000 => [6]
[3,5,6,1,3,1] => [4,6,1,5,2,3] => 00000 => [6]
[3,5,6,3,1,1] => [5,6,1,4,2,3] => 00000 => [6]
[3,6,1,1,3,5] => [3,4,1,5,6,2] => 00000 => [6]
[3,6,1,1,5,3] => [3,4,1,6,5,2] => 00000 => [6]
[3,6,1,3,1,5] => [3,5,1,4,6,2] => 00000 => [6]
[3,6,1,3,5,1] => [3,6,1,4,5,2] => 00000 => [6]
[3,6,1,5,1,3] => [3,5,1,6,4,2] => 00000 => [6]
[3,6,1,5,3,1] => [3,6,1,5,4,2] => 00000 => [6]
[3,6,3,1,1,5] => [4,5,1,3,6,2] => 00000 => [6]
[3,6,3,1,5,1] => [4,6,1,3,5,2] => 00000 => [6]
[3,6,3,5,1,1] => [5,6,1,3,4,2] => 00000 => [6]
[3,6,5,1,1,3] => [4,5,1,6,3,2] => 00000 => [6]
[3,6,5,1,3,1] => [4,6,1,5,3,2] => 00000 => [6]
[3,6,5,3,1,1] => [5,6,1,4,3,2] => 00000 => [6]
[5,1,1,3,3,6] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,1,3,6,3] => [2,3,4,6,1,5] => 00000 => [6]
[5,1,1,6,3,3] => [2,3,5,6,1,4] => 00000 => [6]
[5,1,3,1,3,6] => [2,4,3,5,1,6] => 00001 => [5,1]
[5,1,3,1,6,3] => [2,4,3,6,1,5] => 00000 => [6]
[5,1,3,3,1,6] => [2,5,3,4,1,6] => 00001 => [5,1]
[5,1,3,3,6,1] => [2,6,3,4,1,5] => 00000 => [6]
[5,1,3,6,1,3] => [2,5,3,6,1,4] => 00000 => [6]
[5,1,3,6,3,1] => [2,6,3,5,1,4] => 00000 => [6]
[5,1,6,1,3,3] => [2,4,5,6,1,3] => 00000 => [6]
[5,1,6,3,1,3] => [2,5,4,6,1,3] => 00000 => [6]
[5,1,6,3,3,1] => [2,6,4,5,1,3] => 00000 => [6]
[5,3,1,1,3,6] => [3,4,2,5,1,6] => 00001 => [5,1]
[5,3,1,1,6,3] => [3,4,2,6,1,5] => 00000 => [6]
[5,3,1,3,1,6] => [3,5,2,4,1,6] => 00001 => [5,1]
[5,3,1,3,6,1] => [3,6,2,4,1,5] => 00000 => [6]
[5,3,1,6,1,3] => [3,5,2,6,1,4] => 00000 => [6]
[5,3,1,6,3,1] => [3,6,2,5,1,4] => 00000 => [6]
[5,3,3,1,1,6] => [4,5,2,3,1,6] => 00001 => [5,1]
[5,3,3,1,6,1] => [4,6,2,3,1,5] => 00000 => [6]
[5,3,3,6,1,1] => [5,6,2,3,1,4] => 00000 => [6]
[5,3,6,1,1,3] => [4,5,2,6,1,3] => 00000 => [6]
[5,3,6,1,3,1] => [4,6,2,5,1,3] => 00000 => [6]
[5,3,6,3,1,1] => [5,6,2,4,1,3] => 00000 => [6]
[5,6,1,1,3,3] => [3,4,5,6,1,2] => 00000 => [6]
[5,6,1,3,1,3] => [3,5,4,6,1,2] => 00000 => [6]
[5,6,1,3,3,1] => [3,6,4,5,1,2] => 00000 => [6]
[5,6,3,1,1,3] => [4,5,3,6,1,2] => 00000 => [6]
[5,6,3,1,3,1] => [4,6,3,5,1,2] => 00000 => [6]
[5,6,3,3,1,1] => [5,6,3,4,1,2] => 00000 => [6]
[6,1,1,3,3,5] => [2,3,4,5,6,1] => 00000 => [6]
[6,1,1,3,5,3] => [2,3,4,6,5,1] => 00000 => [6]
[6,1,1,5,3,3] => [2,3,5,6,4,1] => 00000 => [6]
[6,1,3,1,3,5] => [2,4,3,5,6,1] => 00000 => [6]
[6,1,3,1,5,3] => [2,4,3,6,5,1] => 00000 => [6]
[6,1,3,3,1,5] => [2,5,3,4,6,1] => 00000 => [6]
[6,1,3,3,5,1] => [2,6,3,4,5,1] => 00000 => [6]
[6,1,3,5,1,3] => [2,5,3,6,4,1] => 00000 => [6]
[6,1,3,5,3,1] => [2,6,3,5,4,1] => 00000 => [6]
[6,1,5,1,3,3] => [2,4,5,6,3,1] => 00000 => [6]
[6,1,5,3,1,3] => [2,5,4,6,3,1] => 00000 => [6]
[6,1,5,3,3,1] => [2,6,4,5,3,1] => 00000 => [6]
[6,3,1,1,3,5] => [3,4,2,5,6,1] => 00000 => [6]
[6,3,1,1,5,3] => [3,4,2,6,5,1] => 00000 => [6]
[6,3,1,3,1,5] => [3,5,2,4,6,1] => 00000 => [6]
[6,3,1,3,5,1] => [3,6,2,4,5,1] => 00000 => [6]
[6,3,1,5,1,3] => [3,5,2,6,4,1] => 00000 => [6]
[6,3,1,5,3,1] => [3,6,2,5,4,1] => 00000 => [6]
[6,3,3,1,1,5] => [4,5,2,3,6,1] => 00000 => [6]
[6,3,3,1,5,1] => [4,6,2,3,5,1] => 00000 => [6]
[6,3,3,5,1,1] => [5,6,2,3,4,1] => 00000 => [6]
[6,3,5,1,1,3] => [4,5,2,6,3,1] => 00000 => [6]
[6,3,5,1,3,1] => [4,6,2,5,3,1] => 00000 => [6]
[6,3,5,3,1,1] => [5,6,2,4,3,1] => 00000 => [6]
[6,5,1,1,3,3] => [3,4,5,6,2,1] => 00000 => [6]
[6,5,1,3,1,3] => [3,5,4,6,2,1] => 00000 => [6]
[6,5,1,3,3,1] => [3,6,4,5,2,1] => 00000 => [6]
[6,5,3,1,1,3] => [4,5,3,6,2,1] => 00000 => [6]
[6,5,3,1,3,1] => [4,6,3,5,2,1] => 00000 => [6]
[6,5,3,3,1,1] => [5,6,3,4,2,1] => 00000 => [6]
[1,1,3,4,4,4] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,4,3,4,4] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,1,4,4,3,4] => [1,2,5,3,4,6] => 11001 => [1,1,3,1]
[1,1,4,4,4,3] => [1,2,6,3,4,5] => 11000 => [1,1,4]
[1,3,1,4,4,4] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,4,1,4,4] => [1,4,2,3,5,6] => 10011 => [1,3,1,1]
[1,3,4,4,1,4] => [1,5,2,3,4,6] => 10001 => [1,4,1]
[1,3,4,4,4,1] => [1,6,2,3,4,5] => 10000 => [1,5]
[1,4,1,3,4,4] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,1,4,3,4] => [1,3,5,2,4,6] => 10001 => [1,4,1]
[1,4,1,4,4,3] => [1,3,6,2,4,5] => 10000 => [1,5]
[1,4,3,1,4,4] => [1,4,3,2,5,6] => 10011 => [1,3,1,1]
[1,4,3,4,1,4] => [1,5,3,2,4,6] => 10001 => [1,4,1]
[1,4,3,4,4,1] => [1,6,3,2,4,5] => 10000 => [1,5]
[1,4,4,1,3,4] => [1,4,5,2,3,6] => 10001 => [1,4,1]
[1,4,4,1,4,3] => [1,4,6,2,3,5] => 10000 => [1,5]
[1,4,4,3,1,4] => [1,5,4,2,3,6] => 10001 => [1,4,1]
[1,4,4,3,4,1] => [1,6,4,2,3,5] => 10000 => [1,5]
[1,4,4,4,1,3] => [1,5,6,2,3,4] => 10000 => [1,5]
[1,4,4,4,3,1] => [1,6,5,2,3,4] => 10000 => [1,5]
[3,1,1,4,4,4] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,4,1,4,4] => [2,4,1,3,5,6] => 00011 => [4,1,1]
[3,1,4,4,1,4] => [2,5,1,3,4,6] => 00001 => [5,1]
[3,1,4,4,4,1] => [2,6,1,3,4,5] => 00000 => [6]
[3,4,1,1,4,4] => [3,4,1,2,5,6] => 00011 => [4,1,1]
[3,4,1,4,1,4] => [3,5,1,2,4,6] => 00001 => [5,1]
[3,4,1,4,4,1] => [3,6,1,2,4,5] => 00000 => [6]
[3,4,4,1,1,4] => [4,5,1,2,3,6] => 00001 => [5,1]
[3,4,4,1,4,1] => [4,6,1,2,3,5] => 00000 => [6]
[3,4,4,4,1,1] => [5,6,1,2,3,4] => 00000 => [6]
[4,1,1,3,4,4] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,1,4,3,4] => [2,3,5,1,4,6] => 00001 => [5,1]
[4,1,1,4,4,3] => [2,3,6,1,4,5] => 00000 => [6]
[4,1,3,1,4,4] => [2,4,3,1,5,6] => 00011 => [4,1,1]
[4,1,3,4,1,4] => [2,5,3,1,4,6] => 00001 => [5,1]
[4,1,3,4,4,1] => [2,6,3,1,4,5] => 00000 => [6]
[4,1,4,1,3,4] => [2,4,5,1,3,6] => 00001 => [5,1]
[4,1,4,1,4,3] => [2,4,6,1,3,5] => 00000 => [6]
[4,1,4,3,1,4] => [2,5,4,1,3,6] => 00001 => [5,1]
[4,1,4,3,4,1] => [2,6,4,1,3,5] => 00000 => [6]
[4,1,4,4,1,3] => [2,5,6,1,3,4] => 00000 => [6]
[4,1,4,4,3,1] => [2,6,5,1,3,4] => 00000 => [6]
[4,3,1,1,4,4] => [3,4,2,1,5,6] => 00011 => [4,1,1]
[4,3,1,4,1,4] => [3,5,2,1,4,6] => 00001 => [5,1]
[4,3,1,4,4,1] => [3,6,2,1,4,5] => 00000 => [6]
[4,3,4,1,1,4] => [4,5,2,1,3,6] => 00001 => [5,1]
[4,3,4,1,4,1] => [4,6,2,1,3,5] => 00000 => [6]
[4,3,4,4,1,1] => [5,6,2,1,3,4] => 00000 => [6]
[4,4,1,1,3,4] => [3,4,5,1,2,6] => 00001 => [5,1]
[4,4,1,1,4,3] => [3,4,6,1,2,5] => 00000 => [6]
[4,4,1,3,1,4] => [3,5,4,1,2,6] => 00001 => [5,1]
[4,4,1,3,4,1] => [3,6,4,1,2,5] => 00000 => [6]
[4,4,1,4,1,3] => [3,5,6,1,2,4] => 00000 => [6]
[4,4,1,4,3,1] => [3,6,5,1,2,4] => 00000 => [6]
[4,4,3,1,1,4] => [4,5,3,1,2,6] => 00001 => [5,1]
[4,4,3,1,4,1] => [4,6,3,1,2,5] => 00000 => [6]
[4,4,3,4,1,1] => [5,6,3,1,2,4] => 00000 => [6]
[4,4,4,1,1,3] => [4,5,6,1,2,3] => 00000 => [6]
[4,4,4,1,3,1] => [4,6,5,1,2,3] => 00000 => [6]
[4,4,4,3,1,1] => [5,6,4,1,2,3] => 00000 => [6]
[1,1,3,4,4,5] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,3,4,5,4] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,3,5,4,4] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,1,4,3,4,5] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,1,4,3,5,4] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,1,4,4,3,5] => [1,2,5,3,4,6] => 11001 => [1,1,3,1]
[1,1,4,4,5,3] => [1,2,6,3,4,5] => 11000 => [1,1,4]
[1,1,4,5,3,4] => [1,2,5,3,4,6] => 11001 => [1,1,3,1]
[1,1,4,5,4,3] => [1,2,6,3,4,5] => 11000 => [1,1,4]
[1,1,5,3,4,4] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,1,5,4,3,4] => [1,2,5,4,3,6] => 11001 => [1,1,3,1]
[1,1,5,4,4,3] => [1,2,6,4,3,5] => 11000 => [1,1,4]
[1,3,1,4,4,5] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,1,4,5,4] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,1,5,4,4] => [1,3,2,5,4,6] => 10101 => [1,2,2,1]
[1,3,4,1,4,5] => [1,4,2,3,5,6] => 10011 => [1,3,1,1]
[1,3,4,1,5,4] => [1,4,2,3,5,6] => 10011 => [1,3,1,1]
[1,3,4,4,1,5] => [1,5,2,3,4,6] => 10001 => [1,4,1]
[1,3,4,4,5,1] => [1,6,2,3,4,5] => 10000 => [1,5]
[1,3,4,5,1,4] => [1,5,2,3,4,6] => 10001 => [1,4,1]
[1,3,4,5,4,1] => [1,6,2,3,4,5] => 10000 => [1,5]
[1,3,5,1,4,4] => [1,4,2,5,3,6] => 10001 => [1,4,1]
[1,3,5,4,1,4] => [1,5,2,4,3,6] => 10001 => [1,4,1]
[1,3,5,4,4,1] => [1,6,2,4,3,5] => 10000 => [1,5]
[1,4,1,3,4,5] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,1,3,5,4] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,1,4,3,5] => [1,3,5,2,4,6] => 10001 => [1,4,1]
[1,4,1,4,5,3] => [1,3,6,2,4,5] => 10000 => [1,5]
[1,4,1,5,3,4] => [1,3,5,2,4,6] => 10001 => [1,4,1]
[1,4,1,5,4,3] => [1,3,6,2,4,5] => 10000 => [1,5]
[1,4,3,1,4,5] => [1,4,3,2,5,6] => 10011 => [1,3,1,1]
[1,4,3,1,5,4] => [1,4,3,2,5,6] => 10011 => [1,3,1,1]
[1,4,3,4,1,5] => [1,5,3,2,4,6] => 10001 => [1,4,1]
[1,4,3,4,5,1] => [1,6,3,2,4,5] => 10000 => [1,5]
[1,4,3,5,1,4] => [1,5,3,2,4,6] => 10001 => [1,4,1]
[1,4,3,5,4,1] => [1,6,3,2,4,5] => 10000 => [1,5]
[1,4,4,1,3,5] => [1,4,5,2,3,6] => 10001 => [1,4,1]
[1,4,4,1,5,3] => [1,4,6,2,3,5] => 10000 => [1,5]
[1,4,4,3,1,5] => [1,5,4,2,3,6] => 10001 => [1,4,1]
[1,4,4,3,5,1] => [1,6,4,2,3,5] => 10000 => [1,5]
[1,4,4,5,1,3] => [1,5,6,2,3,4] => 10000 => [1,5]
[1,4,4,5,3,1] => [1,6,5,2,3,4] => 10000 => [1,5]
[1,4,5,1,3,4] => [1,4,5,2,3,6] => 10001 => [1,4,1]
[1,4,5,1,4,3] => [1,4,6,2,3,5] => 10000 => [1,5]
[1,4,5,3,1,4] => [1,5,4,2,3,6] => 10001 => [1,4,1]
[1,4,5,3,4,1] => [1,6,4,2,3,5] => 10000 => [1,5]
[1,4,5,4,1,3] => [1,5,6,2,3,4] => 10000 => [1,5]
[1,4,5,4,3,1] => [1,6,5,2,3,4] => 10000 => [1,5]
[1,5,1,3,4,4] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,1,4,3,4] => [1,3,5,4,2,6] => 10001 => [1,4,1]
[1,5,1,4,4,3] => [1,3,6,4,2,5] => 10000 => [1,5]
[1,5,3,1,4,4] => [1,4,3,5,2,6] => 10001 => [1,4,1]
[1,5,3,4,1,4] => [1,5,3,4,2,6] => 10001 => [1,4,1]
[1,5,3,4,4,1] => [1,6,3,4,2,5] => 10000 => [1,5]
[1,5,4,1,3,4] => [1,4,5,3,2,6] => 10001 => [1,4,1]
[1,5,4,1,4,3] => [1,4,6,3,2,5] => 10000 => [1,5]
[1,5,4,3,1,4] => [1,5,4,3,2,6] => 10001 => [1,4,1]
[1,5,4,3,4,1] => [1,6,4,3,2,5] => 10000 => [1,5]
[1,5,4,4,1,3] => [1,5,6,3,2,4] => 10000 => [1,5]
[1,5,4,4,3,1] => [1,6,5,3,2,4] => 10000 => [1,5]
[3,1,1,4,4,5] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,1,4,5,4] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,1,5,4,4] => [2,3,1,5,4,6] => 00101 => [3,2,1]
[3,1,4,1,4,5] => [2,4,1,3,5,6] => 00011 => [4,1,1]
[3,1,4,1,5,4] => [2,4,1,3,5,6] => 00011 => [4,1,1]
[3,1,4,4,1,5] => [2,5,1,3,4,6] => 00001 => [5,1]
[3,1,4,4,5,1] => [2,6,1,3,4,5] => 00000 => [6]
[3,1,4,5,1,4] => [2,5,1,3,4,6] => 00001 => [5,1]
[3,1,4,5,4,1] => [2,6,1,3,4,5] => 00000 => [6]
[3,1,5,1,4,4] => [2,4,1,5,3,6] => 00001 => [5,1]
[3,1,5,4,1,4] => [2,5,1,4,3,6] => 00001 => [5,1]
[3,1,5,4,4,1] => [2,6,1,4,3,5] => 00000 => [6]
[3,4,1,1,4,5] => [3,4,1,2,5,6] => 00011 => [4,1,1]
[3,4,1,1,5,4] => [3,4,1,2,5,6] => 00011 => [4,1,1]
[3,4,1,4,1,5] => [3,5,1,2,4,6] => 00001 => [5,1]
[3,4,1,4,5,1] => [3,6,1,2,4,5] => 00000 => [6]
[3,4,1,5,1,4] => [3,5,1,2,4,6] => 00001 => [5,1]
[3,4,1,5,4,1] => [3,6,1,2,4,5] => 00000 => [6]
[3,4,4,1,1,5] => [4,5,1,2,3,6] => 00001 => [5,1]
[3,4,4,1,5,1] => [4,6,1,2,3,5] => 00000 => [6]
[3,4,4,5,1,1] => [5,6,1,2,3,4] => 00000 => [6]
[3,4,5,1,1,4] => [4,5,1,2,3,6] => 00001 => [5,1]
[3,4,5,1,4,1] => [4,6,1,2,3,5] => 00000 => [6]
[3,4,5,4,1,1] => [5,6,1,2,3,4] => 00000 => [6]
[3,5,1,1,4,4] => [3,4,1,5,2,6] => 00001 => [5,1]
[3,5,1,4,1,4] => [3,5,1,4,2,6] => 00001 => [5,1]
[3,5,1,4,4,1] => [3,6,1,4,2,5] => 00000 => [6]
[3,5,4,1,1,4] => [4,5,1,3,2,6] => 00001 => [5,1]
[3,5,4,1,4,1] => [4,6,1,3,2,5] => 00000 => [6]
[3,5,4,4,1,1] => [5,6,1,3,2,4] => 00000 => [6]
[4,1,1,3,4,5] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,1,3,5,4] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,1,4,3,5] => [2,3,5,1,4,6] => 00001 => [5,1]
[4,1,1,4,5,3] => [2,3,6,1,4,5] => 00000 => [6]
[4,1,1,5,3,4] => [2,3,5,1,4,6] => 00001 => [5,1]
[4,1,1,5,4,3] => [2,3,6,1,4,5] => 00000 => [6]
[4,1,3,1,4,5] => [2,4,3,1,5,6] => 00011 => [4,1,1]
[4,1,3,1,5,4] => [2,4,3,1,5,6] => 00011 => [4,1,1]
[4,1,3,4,1,5] => [2,5,3,1,4,6] => 00001 => [5,1]
[4,1,3,4,5,1] => [2,6,3,1,4,5] => 00000 => [6]
[4,1,3,5,1,4] => [2,5,3,1,4,6] => 00001 => [5,1]
[4,1,3,5,4,1] => [2,6,3,1,4,5] => 00000 => [6]
[4,1,4,1,3,5] => [2,4,5,1,3,6] => 00001 => [5,1]
[4,1,4,1,5,3] => [2,4,6,1,3,5] => 00000 => [6]
[4,1,4,3,1,5] => [2,5,4,1,3,6] => 00001 => [5,1]
[4,1,4,3,5,1] => [2,6,4,1,3,5] => 00000 => [6]
[4,1,4,5,1,3] => [2,5,6,1,3,4] => 00000 => [6]
[4,1,4,5,3,1] => [2,6,5,1,3,4] => 00000 => [6]
[4,1,5,1,3,4] => [2,4,5,1,3,6] => 00001 => [5,1]
[4,1,5,1,4,3] => [2,4,6,1,3,5] => 00000 => [6]
[4,1,5,3,1,4] => [2,5,4,1,3,6] => 00001 => [5,1]
[4,1,5,3,4,1] => [2,6,4,1,3,5] => 00000 => [6]
[4,1,5,4,1,3] => [2,5,6,1,3,4] => 00000 => [6]
[4,1,5,4,3,1] => [2,6,5,1,3,4] => 00000 => [6]
[4,3,1,1,4,5] => [3,4,2,1,5,6] => 00011 => [4,1,1]
[4,3,1,1,5,4] => [3,4,2,1,5,6] => 00011 => [4,1,1]
[4,3,1,4,1,5] => [3,5,2,1,4,6] => 00001 => [5,1]
[4,3,1,4,5,1] => [3,6,2,1,4,5] => 00000 => [6]
[4,3,1,5,1,4] => [3,5,2,1,4,6] => 00001 => [5,1]
[4,3,1,5,4,1] => [3,6,2,1,4,5] => 00000 => [6]
[4,3,4,1,1,5] => [4,5,2,1,3,6] => 00001 => [5,1]
[4,3,4,1,5,1] => [4,6,2,1,3,5] => 00000 => [6]
[4,3,4,5,1,1] => [5,6,2,1,3,4] => 00000 => [6]
[4,3,5,1,1,4] => [4,5,2,1,3,6] => 00001 => [5,1]
[4,3,5,1,4,1] => [4,6,2,1,3,5] => 00000 => [6]
[4,3,5,4,1,1] => [5,6,2,1,3,4] => 00000 => [6]
[4,4,1,1,3,5] => [3,4,5,1,2,6] => 00001 => [5,1]
[4,4,1,1,5,3] => [3,4,6,1,2,5] => 00000 => [6]
[4,4,1,3,1,5] => [3,5,4,1,2,6] => 00001 => [5,1]
[4,4,1,3,5,1] => [3,6,4,1,2,5] => 00000 => [6]
[4,4,1,5,1,3] => [3,5,6,1,2,4] => 00000 => [6]
[4,4,1,5,3,1] => [3,6,5,1,2,4] => 00000 => [6]
[4,4,3,1,1,5] => [4,5,3,1,2,6] => 00001 => [5,1]
[4,4,3,1,5,1] => [4,6,3,1,2,5] => 00000 => [6]
[4,4,3,5,1,1] => [5,6,3,1,2,4] => 00000 => [6]
[4,4,5,1,1,3] => [4,5,6,1,2,3] => 00000 => [6]
[4,4,5,1,3,1] => [4,6,5,1,2,3] => 00000 => [6]
[4,4,5,3,1,1] => [5,6,4,1,2,3] => 00000 => [6]
[4,5,1,1,3,4] => [3,4,5,1,2,6] => 00001 => [5,1]
[4,5,1,1,4,3] => [3,4,6,1,2,5] => 00000 => [6]
[4,5,1,3,1,4] => [3,5,4,1,2,6] => 00001 => [5,1]
[4,5,1,3,4,1] => [3,6,4,1,2,5] => 00000 => [6]
[4,5,1,4,1,3] => [3,5,6,1,2,4] => 00000 => [6]
[4,5,1,4,3,1] => [3,6,5,1,2,4] => 00000 => [6]
[4,5,3,1,1,4] => [4,5,3,1,2,6] => 00001 => [5,1]
[4,5,3,1,4,1] => [4,6,3,1,2,5] => 00000 => [6]
[4,5,3,4,1,1] => [5,6,3,1,2,4] => 00000 => [6]
[4,5,4,1,1,3] => [4,5,6,1,2,3] => 00000 => [6]
[4,5,4,1,3,1] => [4,6,5,1,2,3] => 00000 => [6]
[4,5,4,3,1,1] => [5,6,4,1,2,3] => 00000 => [6]
[5,1,1,3,4,4] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,1,4,3,4] => [2,3,5,4,1,6] => 00001 => [5,1]
[5,1,1,4,4,3] => [2,3,6,4,1,5] => 00000 => [6]
[5,1,3,1,4,4] => [2,4,3,5,1,6] => 00001 => [5,1]
[5,1,3,4,1,4] => [2,5,3,4,1,6] => 00001 => [5,1]
[5,1,3,4,4,1] => [2,6,3,4,1,5] => 00000 => [6]
[5,1,4,1,3,4] => [2,4,5,3,1,6] => 00001 => [5,1]
[5,1,4,1,4,3] => [2,4,6,3,1,5] => 00000 => [6]
[5,1,4,3,1,4] => [2,5,4,3,1,6] => 00001 => [5,1]
[5,1,4,3,4,1] => [2,6,4,3,1,5] => 00000 => [6]
[5,1,4,4,1,3] => [2,5,6,3,1,4] => 00000 => [6]
[5,1,4,4,3,1] => [2,6,5,3,1,4] => 00000 => [6]
[5,3,1,1,4,4] => [3,4,2,5,1,6] => 00001 => [5,1]
[5,3,1,4,1,4] => [3,5,2,4,1,6] => 00001 => [5,1]
[5,3,1,4,4,1] => [3,6,2,4,1,5] => 00000 => [6]
[5,3,4,1,1,4] => [4,5,2,3,1,6] => 00001 => [5,1]
[5,3,4,1,4,1] => [4,6,2,3,1,5] => 00000 => [6]
[5,3,4,4,1,1] => [5,6,2,3,1,4] => 00000 => [6]
[5,4,1,1,3,4] => [3,4,5,2,1,6] => 00001 => [5,1]
[5,4,1,1,4,3] => [3,4,6,2,1,5] => 00000 => [6]
[5,4,1,3,1,4] => [3,5,4,2,1,6] => 00001 => [5,1]
[5,4,1,3,4,1] => [3,6,4,2,1,5] => 00000 => [6]
[5,4,1,4,1,3] => [3,5,6,2,1,4] => 00000 => [6]
[5,4,1,4,3,1] => [3,6,5,2,1,4] => 00000 => [6]
[5,4,3,1,1,4] => [4,5,3,2,1,6] => 00001 => [5,1]
[5,4,3,1,4,1] => [4,6,3,2,1,5] => 00000 => [6]
[5,4,3,4,1,1] => [5,6,3,2,1,4] => 00000 => [6]
[5,4,4,1,1,3] => [4,5,6,2,1,3] => 00000 => [6]
[5,4,4,1,3,1] => [4,6,5,2,1,3] => 00000 => [6]
[5,4,4,3,1,1] => [5,6,4,2,1,3] => 00000 => [6]
[1,1,3,4,4,6] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,3,4,6,4] => [1,2,3,4,6,5] => 11110 => [1,1,1,1,2]
[1,1,3,6,4,4] => [1,2,3,5,6,4] => 11100 => [1,1,1,3]
[1,1,4,3,4,6] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,1,4,3,6,4] => [1,2,4,3,6,5] => 11010 => [1,1,2,2]
[1,1,4,4,3,6] => [1,2,5,3,4,6] => 11001 => [1,1,3,1]
[1,1,4,4,6,3] => [1,2,6,3,4,5] => 11000 => [1,1,4]
[1,1,4,6,3,4] => [1,2,5,3,6,4] => 11000 => [1,1,4]
[1,1,4,6,4,3] => [1,2,6,3,5,4] => 11000 => [1,1,4]
[1,1,6,3,4,4] => [1,2,4,5,6,3] => 11000 => [1,1,4]
[1,1,6,4,3,4] => [1,2,5,4,6,3] => 11000 => [1,1,4]
[1,1,6,4,4,3] => [1,2,6,4,5,3] => 11000 => [1,1,4]
[1,3,1,4,4,6] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,1,4,6,4] => [1,3,2,4,6,5] => 10110 => [1,2,1,2]
[1,3,1,6,4,4] => [1,3,2,5,6,4] => 10100 => [1,2,3]
[1,3,4,1,4,6] => [1,4,2,3,5,6] => 10011 => [1,3,1,1]
[1,3,4,1,6,4] => [1,4,2,3,6,5] => 10010 => [1,3,2]
[1,3,4,4,1,6] => [1,5,2,3,4,6] => 10001 => [1,4,1]
[1,3,4,4,6,1] => [1,6,2,3,4,5] => 10000 => [1,5]
[1,3,4,6,1,4] => [1,5,2,3,6,4] => 10000 => [1,5]
[1,3,4,6,4,1] => [1,6,2,3,5,4] => 10000 => [1,5]
[1,3,6,1,4,4] => [1,4,2,5,6,3] => 10000 => [1,5]
[1,3,6,4,1,4] => [1,5,2,4,6,3] => 10000 => [1,5]
[1,3,6,4,4,1] => [1,6,2,4,5,3] => 10000 => [1,5]
[1,4,1,3,4,6] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,1,3,6,4] => [1,3,4,2,6,5] => 10010 => [1,3,2]
[1,4,1,4,3,6] => [1,3,5,2,4,6] => 10001 => [1,4,1]
[1,4,1,4,6,3] => [1,3,6,2,4,5] => 10000 => [1,5]
[1,4,1,6,3,4] => [1,3,5,2,6,4] => 10000 => [1,5]
[1,4,1,6,4,3] => [1,3,6,2,5,4] => 10000 => [1,5]
[1,4,3,1,4,6] => [1,4,3,2,5,6] => 10011 => [1,3,1,1]
[1,4,3,1,6,4] => [1,4,3,2,6,5] => 10010 => [1,3,2]
[1,4,3,4,1,6] => [1,5,3,2,4,6] => 10001 => [1,4,1]
[1,4,3,4,6,1] => [1,6,3,2,4,5] => 10000 => [1,5]
[1,4,3,6,1,4] => [1,5,3,2,6,4] => 10000 => [1,5]
[1,4,3,6,4,1] => [1,6,3,2,5,4] => 10000 => [1,5]
[1,4,4,1,3,6] => [1,4,5,2,3,6] => 10001 => [1,4,1]
[1,4,4,1,6,3] => [1,4,6,2,3,5] => 10000 => [1,5]
[1,4,4,3,1,6] => [1,5,4,2,3,6] => 10001 => [1,4,1]
[1,4,4,3,6,1] => [1,6,4,2,3,5] => 10000 => [1,5]
[1,4,4,6,1,3] => [1,5,6,2,3,4] => 10000 => [1,5]
[1,4,4,6,3,1] => [1,6,5,2,3,4] => 10000 => [1,5]
[1,4,6,1,3,4] => [1,4,5,2,6,3] => 10000 => [1,5]
[1,4,6,1,4,3] => [1,4,6,2,5,3] => 10000 => [1,5]
[1,4,6,3,1,4] => [1,5,4,2,6,3] => 10000 => [1,5]
[1,4,6,3,4,1] => [1,6,4,2,5,3] => 10000 => [1,5]
[1,4,6,4,1,3] => [1,5,6,2,4,3] => 10000 => [1,5]
[1,4,6,4,3,1] => [1,6,5,2,4,3] => 10000 => [1,5]
[1,6,1,3,4,4] => [1,3,4,5,6,2] => 10000 => [1,5]
[1,6,1,4,3,4] => [1,3,5,4,6,2] => 10000 => [1,5]
[1,6,1,4,4,3] => [1,3,6,4,5,2] => 10000 => [1,5]
[1,6,3,1,4,4] => [1,4,3,5,6,2] => 10000 => [1,5]
[1,6,3,4,1,4] => [1,5,3,4,6,2] => 10000 => [1,5]
[1,6,3,4,4,1] => [1,6,3,4,5,2] => 10000 => [1,5]
[1,6,4,1,3,4] => [1,4,5,3,6,2] => 10000 => [1,5]
[1,6,4,1,4,3] => [1,4,6,3,5,2] => 10000 => [1,5]
[1,6,4,3,1,4] => [1,5,4,3,6,2] => 10000 => [1,5]
[1,6,4,3,4,1] => [1,6,4,3,5,2] => 10000 => [1,5]
[1,6,4,4,1,3] => [1,5,6,3,4,2] => 10000 => [1,5]
[1,6,4,4,3,1] => [1,6,5,3,4,2] => 10000 => [1,5]
[3,1,1,4,4,6] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,1,4,6,4] => [2,3,1,4,6,5] => 00110 => [3,1,2]
[3,1,1,6,4,4] => [2,3,1,5,6,4] => 00100 => [3,3]
[3,1,4,1,4,6] => [2,4,1,3,5,6] => 00011 => [4,1,1]
[3,1,4,1,6,4] => [2,4,1,3,6,5] => 00010 => [4,2]
[3,1,4,4,1,6] => [2,5,1,3,4,6] => 00001 => [5,1]
[3,1,4,4,6,1] => [2,6,1,3,4,5] => 00000 => [6]
[3,1,4,6,1,4] => [2,5,1,3,6,4] => 00000 => [6]
[3,1,4,6,4,1] => [2,6,1,3,5,4] => 00000 => [6]
[3,1,6,1,4,4] => [2,4,1,5,6,3] => 00000 => [6]
[3,1,6,4,1,4] => [2,5,1,4,6,3] => 00000 => [6]
[3,1,6,4,4,1] => [2,6,1,4,5,3] => 00000 => [6]
[3,4,1,1,4,6] => [3,4,1,2,5,6] => 00011 => [4,1,1]
[3,4,1,1,6,4] => [3,4,1,2,6,5] => 00010 => [4,2]
[3,4,1,4,1,6] => [3,5,1,2,4,6] => 00001 => [5,1]
[3,4,1,4,6,1] => [3,6,1,2,4,5] => 00000 => [6]
[3,4,1,6,1,4] => [3,5,1,2,6,4] => 00000 => [6]
[3,4,1,6,4,1] => [3,6,1,2,5,4] => 00000 => [6]
[3,4,4,1,1,6] => [4,5,1,2,3,6] => 00001 => [5,1]
[3,4,4,1,6,1] => [4,6,1,2,3,5] => 00000 => [6]
[3,4,4,6,1,1] => [5,6,1,2,3,4] => 00000 => [6]
[3,4,6,1,1,4] => [4,5,1,2,6,3] => 00000 => [6]
[3,4,6,1,4,1] => [4,6,1,2,5,3] => 00000 => [6]
[3,4,6,4,1,1] => [5,6,1,2,4,3] => 00000 => [6]
[3,6,1,1,4,4] => [3,4,1,5,6,2] => 00000 => [6]
[3,6,1,4,1,4] => [3,5,1,4,6,2] => 00000 => [6]
[3,6,1,4,4,1] => [3,6,1,4,5,2] => 00000 => [6]
[3,6,4,1,1,4] => [4,5,1,3,6,2] => 00000 => [6]
[3,6,4,1,4,1] => [4,6,1,3,5,2] => 00000 => [6]
[3,6,4,4,1,1] => [5,6,1,3,4,2] => 00000 => [6]
[4,1,1,3,4,6] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,1,3,6,4] => [2,3,4,1,6,5] => 00010 => [4,2]
[4,1,1,4,3,6] => [2,3,5,1,4,6] => 00001 => [5,1]
[4,1,1,4,6,3] => [2,3,6,1,4,5] => 00000 => [6]
[4,1,1,6,3,4] => [2,3,5,1,6,4] => 00000 => [6]
[4,1,1,6,4,3] => [2,3,6,1,5,4] => 00000 => [6]
[4,1,3,1,4,6] => [2,4,3,1,5,6] => 00011 => [4,1,1]
[4,1,3,1,6,4] => [2,4,3,1,6,5] => 00010 => [4,2]
[4,1,3,4,1,6] => [2,5,3,1,4,6] => 00001 => [5,1]
[4,1,3,4,6,1] => [2,6,3,1,4,5] => 00000 => [6]
[4,1,3,6,1,4] => [2,5,3,1,6,4] => 00000 => [6]
[4,1,3,6,4,1] => [2,6,3,1,5,4] => 00000 => [6]
[4,1,4,1,3,6] => [2,4,5,1,3,6] => 00001 => [5,1]
[4,1,4,1,6,3] => [2,4,6,1,3,5] => 00000 => [6]
[4,1,4,3,1,6] => [2,5,4,1,3,6] => 00001 => [5,1]
[4,1,4,3,6,1] => [2,6,4,1,3,5] => 00000 => [6]
[4,1,4,6,1,3] => [2,5,6,1,3,4] => 00000 => [6]
[4,1,4,6,3,1] => [2,6,5,1,3,4] => 00000 => [6]
[4,1,6,1,3,4] => [2,4,5,1,6,3] => 00000 => [6]
[4,1,6,1,4,3] => [2,4,6,1,5,3] => 00000 => [6]
[4,1,6,3,1,4] => [2,5,4,1,6,3] => 00000 => [6]
[4,1,6,3,4,1] => [2,6,4,1,5,3] => 00000 => [6]
[4,1,6,4,1,3] => [2,5,6,1,4,3] => 00000 => [6]
[4,1,6,4,3,1] => [2,6,5,1,4,3] => 00000 => [6]
[4,3,1,1,4,6] => [3,4,2,1,5,6] => 00011 => [4,1,1]
[4,3,1,1,6,4] => [3,4,2,1,6,5] => 00010 => [4,2]
[4,3,1,4,1,6] => [3,5,2,1,4,6] => 00001 => [5,1]
[4,3,1,4,6,1] => [3,6,2,1,4,5] => 00000 => [6]
[4,3,1,6,1,4] => [3,5,2,1,6,4] => 00000 => [6]
[4,3,1,6,4,1] => [3,6,2,1,5,4] => 00000 => [6]
[4,3,4,1,1,6] => [4,5,2,1,3,6] => 00001 => [5,1]
[4,3,4,1,6,1] => [4,6,2,1,3,5] => 00000 => [6]
[4,3,4,6,1,1] => [5,6,2,1,3,4] => 00000 => [6]
[4,3,6,1,1,4] => [4,5,2,1,6,3] => 00000 => [6]
[4,3,6,1,4,1] => [4,6,2,1,5,3] => 00000 => [6]
[4,3,6,4,1,1] => [5,6,2,1,4,3] => 00000 => [6]
[4,4,1,1,3,6] => [3,4,5,1,2,6] => 00001 => [5,1]
[4,4,1,1,6,3] => [3,4,6,1,2,5] => 00000 => [6]
[4,4,1,3,1,6] => [3,5,4,1,2,6] => 00001 => [5,1]
[4,4,1,3,6,1] => [3,6,4,1,2,5] => 00000 => [6]
[4,4,1,6,1,3] => [3,5,6,1,2,4] => 00000 => [6]
[4,4,1,6,3,1] => [3,6,5,1,2,4] => 00000 => [6]
[4,4,3,1,1,6] => [4,5,3,1,2,6] => 00001 => [5,1]
[4,4,3,1,6,1] => [4,6,3,1,2,5] => 00000 => [6]
[4,4,3,6,1,1] => [5,6,3,1,2,4] => 00000 => [6]
[4,4,6,1,1,3] => [4,5,6,1,2,3] => 00000 => [6]
[4,4,6,1,3,1] => [4,6,5,1,2,3] => 00000 => [6]
[4,4,6,3,1,1] => [5,6,4,1,2,3] => 00000 => [6]
[4,6,1,1,3,4] => [3,4,5,1,6,2] => 00000 => [6]
[4,6,1,1,4,3] => [3,4,6,1,5,2] => 00000 => [6]
[4,6,1,3,1,4] => [3,5,4,1,6,2] => 00000 => [6]
[4,6,1,3,4,1] => [3,6,4,1,5,2] => 00000 => [6]
[4,6,1,4,1,3] => [3,5,6,1,4,2] => 00000 => [6]
[4,6,1,4,3,1] => [3,6,5,1,4,2] => 00000 => [6]
[4,6,3,1,1,4] => [4,5,3,1,6,2] => 00000 => [6]
[4,6,3,1,4,1] => [4,6,3,1,5,2] => 00000 => [6]
[4,6,3,4,1,1] => [5,6,3,1,4,2] => 00000 => [6]
[4,6,4,1,1,3] => [4,5,6,1,3,2] => 00000 => [6]
[4,6,4,1,3,1] => [4,6,5,1,3,2] => 00000 => [6]
[4,6,4,3,1,1] => [5,6,4,1,3,2] => 00000 => [6]
[6,1,1,3,4,4] => [2,3,4,5,6,1] => 00000 => [6]
[6,1,1,4,3,4] => [2,3,5,4,6,1] => 00000 => [6]
[6,1,1,4,4,3] => [2,3,6,4,5,1] => 00000 => [6]
[6,1,3,1,4,4] => [2,4,3,5,6,1] => 00000 => [6]
[6,1,3,4,1,4] => [2,5,3,4,6,1] => 00000 => [6]
[6,1,3,4,4,1] => [2,6,3,4,5,1] => 00000 => [6]
[6,1,4,1,3,4] => [2,4,5,3,6,1] => 00000 => [6]
[6,1,4,1,4,3] => [2,4,6,3,5,1] => 00000 => [6]
[6,1,4,3,1,4] => [2,5,4,3,6,1] => 00000 => [6]
[6,1,4,3,4,1] => [2,6,4,3,5,1] => 00000 => [6]
[6,1,4,4,1,3] => [2,5,6,3,4,1] => 00000 => [6]
[6,1,4,4,3,1] => [2,6,5,3,4,1] => 00000 => [6]
[6,3,1,1,4,4] => [3,4,2,5,6,1] => 00000 => [6]
[6,3,1,4,1,4] => [3,5,2,4,6,1] => 00000 => [6]
[6,3,1,4,4,1] => [3,6,2,4,5,1] => 00000 => [6]
[6,3,4,1,1,4] => [4,5,2,3,6,1] => 00000 => [6]
[6,3,4,1,4,1] => [4,6,2,3,5,1] => 00000 => [6]
[6,3,4,4,1,1] => [5,6,2,3,4,1] => 00000 => [6]
[6,4,1,1,3,4] => [3,4,5,2,6,1] => 00000 => [6]
[6,4,1,1,4,3] => [3,4,6,2,5,1] => 00000 => [6]
[6,4,1,3,1,4] => [3,5,4,2,6,1] => 00000 => [6]
[6,4,1,3,4,1] => [3,6,4,2,5,1] => 00000 => [6]
[6,4,1,4,1,3] => [3,5,6,2,4,1] => 00000 => [6]
[6,4,1,4,3,1] => [3,6,5,2,4,1] => 00000 => [6]
[6,4,3,1,1,4] => [4,5,3,2,6,1] => 00000 => [6]
[6,4,3,1,4,1] => [4,6,3,2,5,1] => 00000 => [6]
[6,4,3,4,1,1] => [5,6,3,2,4,1] => 00000 => [6]
[6,4,4,1,1,3] => [4,5,6,2,3,1] => 00000 => [6]
[6,4,4,1,3,1] => [4,6,5,2,3,1] => 00000 => [6]
[6,4,4,3,1,1] => [5,6,4,2,3,1] => 00000 => [6]
[1,1,3,4,5,5] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,3,5,4,5] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,1,3,5,5,4] => [1,2,3,6,4,5] => 11100 => [1,1,1,3]
[1,1,4,3,5,5] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,1,4,5,3,5] => [1,2,5,3,4,6] => 11001 => [1,1,3,1]
[1,1,4,5,5,3] => [1,2,6,3,4,5] => 11000 => [1,1,4]
[1,1,5,3,4,5] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,1,5,3,5,4] => [1,2,4,6,3,5] => 11000 => [1,1,4]
[1,1,5,4,3,5] => [1,2,5,4,3,6] => 11001 => [1,1,3,1]
[1,1,5,4,5,3] => [1,2,6,4,3,5] => 11000 => [1,1,4]
[1,1,5,5,3,4] => [1,2,5,6,3,4] => 11000 => [1,1,4]
[1,1,5,5,4,3] => [1,2,6,5,3,4] => 11000 => [1,1,4]
[1,3,1,4,5,5] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,1,5,4,5] => [1,3,2,5,4,6] => 10101 => [1,2,2,1]
[1,3,1,5,5,4] => [1,3,2,6,4,5] => 10100 => [1,2,3]
[1,3,4,1,5,5] => [1,4,2,3,5,6] => 10011 => [1,3,1,1]
[1,3,4,5,1,5] => [1,5,2,3,4,6] => 10001 => [1,4,1]
[1,3,4,5,5,1] => [1,6,2,3,4,5] => 10000 => [1,5]
[1,3,5,1,4,5] => [1,4,2,5,3,6] => 10001 => [1,4,1]
[1,3,5,1,5,4] => [1,4,2,6,3,5] => 10000 => [1,5]
[1,3,5,4,1,5] => [1,5,2,4,3,6] => 10001 => [1,4,1]
[1,3,5,4,5,1] => [1,6,2,4,3,5] => 10000 => [1,5]
[1,3,5,5,1,4] => [1,5,2,6,3,4] => 10000 => [1,5]
[1,3,5,5,4,1] => [1,6,2,5,3,4] => 10000 => [1,5]
[1,4,1,3,5,5] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,1,5,3,5] => [1,3,5,2,4,6] => 10001 => [1,4,1]
[1,4,1,5,5,3] => [1,3,6,2,4,5] => 10000 => [1,5]
[1,4,3,1,5,5] => [1,4,3,2,5,6] => 10011 => [1,3,1,1]
[1,4,3,5,1,5] => [1,5,3,2,4,6] => 10001 => [1,4,1]
[1,4,3,5,5,1] => [1,6,3,2,4,5] => 10000 => [1,5]
[1,4,5,1,3,5] => [1,4,5,2,3,6] => 10001 => [1,4,1]
[1,4,5,1,5,3] => [1,4,6,2,3,5] => 10000 => [1,5]
[1,4,5,3,1,5] => [1,5,4,2,3,6] => 10001 => [1,4,1]
[1,4,5,3,5,1] => [1,6,4,2,3,5] => 10000 => [1,5]
[1,4,5,5,1,3] => [1,5,6,2,3,4] => 10000 => [1,5]
[1,4,5,5,3,1] => [1,6,5,2,3,4] => 10000 => [1,5]
[1,5,1,3,4,5] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,1,3,5,4] => [1,3,4,6,2,5] => 10000 => [1,5]
[1,5,1,4,3,5] => [1,3,5,4,2,6] => 10001 => [1,4,1]
[1,5,1,4,5,3] => [1,3,6,4,2,5] => 10000 => [1,5]
[1,5,1,5,3,4] => [1,3,5,6,2,4] => 10000 => [1,5]
[1,5,1,5,4,3] => [1,3,6,5,2,4] => 10000 => [1,5]
[1,5,3,1,4,5] => [1,4,3,5,2,6] => 10001 => [1,4,1]
[1,5,3,1,5,4] => [1,4,3,6,2,5] => 10000 => [1,5]
[1,5,3,4,1,5] => [1,5,3,4,2,6] => 10001 => [1,4,1]
[1,5,3,4,5,1] => [1,6,3,4,2,5] => 10000 => [1,5]
[1,5,3,5,1,4] => [1,5,3,6,2,4] => 10000 => [1,5]
[1,5,3,5,4,1] => [1,6,3,5,2,4] => 10000 => [1,5]
[1,5,4,1,3,5] => [1,4,5,3,2,6] => 10001 => [1,4,1]
[1,5,4,1,5,3] => [1,4,6,3,2,5] => 10000 => [1,5]
[1,5,4,3,1,5] => [1,5,4,3,2,6] => 10001 => [1,4,1]
[1,5,4,3,5,1] => [1,6,4,3,2,5] => 10000 => [1,5]
[1,5,4,5,1,3] => [1,5,6,3,2,4] => 10000 => [1,5]
[1,5,4,5,3,1] => [1,6,5,3,2,4] => 10000 => [1,5]
[1,5,5,1,3,4] => [1,4,5,6,2,3] => 10000 => [1,5]
[1,5,5,1,4,3] => [1,4,6,5,2,3] => 10000 => [1,5]
[1,5,5,3,1,4] => [1,5,4,6,2,3] => 10000 => [1,5]
[1,5,5,3,4,1] => [1,6,4,5,2,3] => 10000 => [1,5]
[1,5,5,4,1,3] => [1,5,6,4,2,3] => 10000 => [1,5]
[1,5,5,4,3,1] => [1,6,5,4,2,3] => 10000 => [1,5]
[3,1,1,4,5,5] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,1,5,4,5] => [2,3,1,5,4,6] => 00101 => [3,2,1]
[3,1,1,5,5,4] => [2,3,1,6,4,5] => 00100 => [3,3]
[3,1,4,1,5,5] => [2,4,1,3,5,6] => 00011 => [4,1,1]
[3,1,4,5,1,5] => [2,5,1,3,4,6] => 00001 => [5,1]
[3,1,4,5,5,1] => [2,6,1,3,4,5] => 00000 => [6]
[3,1,5,1,4,5] => [2,4,1,5,3,6] => 00001 => [5,1]
[3,1,5,1,5,4] => [2,4,1,6,3,5] => 00000 => [6]
[3,1,5,4,1,5] => [2,5,1,4,3,6] => 00001 => [5,1]
[3,1,5,4,5,1] => [2,6,1,4,3,5] => 00000 => [6]
[3,1,5,5,1,4] => [2,5,1,6,3,4] => 00000 => [6]
[3,1,5,5,4,1] => [2,6,1,5,3,4] => 00000 => [6]
[3,4,1,1,5,5] => [3,4,1,2,5,6] => 00011 => [4,1,1]
[3,4,1,5,1,5] => [3,5,1,2,4,6] => 00001 => [5,1]
[3,4,1,5,5,1] => [3,6,1,2,4,5] => 00000 => [6]
[3,4,5,1,1,5] => [4,5,1,2,3,6] => 00001 => [5,1]
[3,4,5,1,5,1] => [4,6,1,2,3,5] => 00000 => [6]
[3,4,5,5,1,1] => [5,6,1,2,3,4] => 00000 => [6]
[3,5,1,1,4,5] => [3,4,1,5,2,6] => 00001 => [5,1]
[3,5,1,1,5,4] => [3,4,1,6,2,5] => 00000 => [6]
[3,5,1,4,1,5] => [3,5,1,4,2,6] => 00001 => [5,1]
[3,5,1,4,5,1] => [3,6,1,4,2,5] => 00000 => [6]
[3,5,1,5,1,4] => [3,5,1,6,2,4] => 00000 => [6]
[3,5,1,5,4,1] => [3,6,1,5,2,4] => 00000 => [6]
[3,5,4,1,1,5] => [4,5,1,3,2,6] => 00001 => [5,1]
[3,5,4,1,5,1] => [4,6,1,3,2,5] => 00000 => [6]
[3,5,4,5,1,1] => [5,6,1,3,2,4] => 00000 => [6]
[3,5,5,1,1,4] => [4,5,1,6,2,3] => 00000 => [6]
[3,5,5,1,4,1] => [4,6,1,5,2,3] => 00000 => [6]
[3,5,5,4,1,1] => [5,6,1,4,2,3] => 00000 => [6]
[4,1,1,3,5,5] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,1,5,3,5] => [2,3,5,1,4,6] => 00001 => [5,1]
[4,1,1,5,5,3] => [2,3,6,1,4,5] => 00000 => [6]
[4,1,3,1,5,5] => [2,4,3,1,5,6] => 00011 => [4,1,1]
[4,1,3,5,1,5] => [2,5,3,1,4,6] => 00001 => [5,1]
[4,1,3,5,5,1] => [2,6,3,1,4,5] => 00000 => [6]
[4,1,5,1,3,5] => [2,4,5,1,3,6] => 00001 => [5,1]
[4,1,5,1,5,3] => [2,4,6,1,3,5] => 00000 => [6]
[4,1,5,3,1,5] => [2,5,4,1,3,6] => 00001 => [5,1]
[4,1,5,3,5,1] => [2,6,4,1,3,5] => 00000 => [6]
[4,1,5,5,1,3] => [2,5,6,1,3,4] => 00000 => [6]
[4,1,5,5,3,1] => [2,6,5,1,3,4] => 00000 => [6]
[4,3,1,1,5,5] => [3,4,2,1,5,6] => 00011 => [4,1,1]
[4,3,1,5,1,5] => [3,5,2,1,4,6] => 00001 => [5,1]
[4,3,1,5,5,1] => [3,6,2,1,4,5] => 00000 => [6]
[4,3,5,1,1,5] => [4,5,2,1,3,6] => 00001 => [5,1]
[4,3,5,1,5,1] => [4,6,2,1,3,5] => 00000 => [6]
[4,3,5,5,1,1] => [5,6,2,1,3,4] => 00000 => [6]
[4,5,1,1,3,5] => [3,4,5,1,2,6] => 00001 => [5,1]
[4,5,1,1,5,3] => [3,4,6,1,2,5] => 00000 => [6]
[4,5,1,3,1,5] => [3,5,4,1,2,6] => 00001 => [5,1]
[4,5,1,3,5,1] => [3,6,4,1,2,5] => 00000 => [6]
[4,5,1,5,1,3] => [3,5,6,1,2,4] => 00000 => [6]
[4,5,1,5,3,1] => [3,6,5,1,2,4] => 00000 => [6]
[4,5,3,1,1,5] => [4,5,3,1,2,6] => 00001 => [5,1]
[4,5,3,1,5,1] => [4,6,3,1,2,5] => 00000 => [6]
[4,5,3,5,1,1] => [5,6,3,1,2,4] => 00000 => [6]
[4,5,5,1,1,3] => [4,5,6,1,2,3] => 00000 => [6]
[4,5,5,1,3,1] => [4,6,5,1,2,3] => 00000 => [6]
[4,5,5,3,1,1] => [5,6,4,1,2,3] => 00000 => [6]
[5,1,1,3,4,5] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,1,3,5,4] => [2,3,4,6,1,5] => 00000 => [6]
[5,1,1,4,3,5] => [2,3,5,4,1,6] => 00001 => [5,1]
[5,1,1,4,5,3] => [2,3,6,4,1,5] => 00000 => [6]
[5,1,1,5,3,4] => [2,3,5,6,1,4] => 00000 => [6]
[5,1,1,5,4,3] => [2,3,6,5,1,4] => 00000 => [6]
[5,1,3,1,4,5] => [2,4,3,5,1,6] => 00001 => [5,1]
[5,1,3,1,5,4] => [2,4,3,6,1,5] => 00000 => [6]
[5,1,3,4,1,5] => [2,5,3,4,1,6] => 00001 => [5,1]
[5,1,3,4,5,1] => [2,6,3,4,1,5] => 00000 => [6]
[5,1,3,5,1,4] => [2,5,3,6,1,4] => 00000 => [6]
[5,1,3,5,4,1] => [2,6,3,5,1,4] => 00000 => [6]
[5,1,4,1,3,5] => [2,4,5,3,1,6] => 00001 => [5,1]
[5,1,4,1,5,3] => [2,4,6,3,1,5] => 00000 => [6]
[5,1,4,3,1,5] => [2,5,4,3,1,6] => 00001 => [5,1]
[5,1,4,3,5,1] => [2,6,4,3,1,5] => 00000 => [6]
[5,1,4,5,1,3] => [2,5,6,3,1,4] => 00000 => [6]
[5,1,4,5,3,1] => [2,6,5,3,1,4] => 00000 => [6]
[5,1,5,1,3,4] => [2,4,5,6,1,3] => 00000 => [6]
[5,1,5,1,4,3] => [2,4,6,5,1,3] => 00000 => [6]
[5,1,5,3,1,4] => [2,5,4,6,1,3] => 00000 => [6]
[5,1,5,3,4,1] => [2,6,4,5,1,3] => 00000 => [6]
[5,1,5,4,1,3] => [2,5,6,4,1,3] => 00000 => [6]
[5,1,5,4,3,1] => [2,6,5,4,1,3] => 00000 => [6]
[5,3,1,1,4,5] => [3,4,2,5,1,6] => 00001 => [5,1]
[5,3,1,1,5,4] => [3,4,2,6,1,5] => 00000 => [6]
[5,3,1,4,1,5] => [3,5,2,4,1,6] => 00001 => [5,1]
[5,3,1,4,5,1] => [3,6,2,4,1,5] => 00000 => [6]
[5,3,1,5,1,4] => [3,5,2,6,1,4] => 00000 => [6]
[5,3,1,5,4,1] => [3,6,2,5,1,4] => 00000 => [6]
[5,3,4,1,1,5] => [4,5,2,3,1,6] => 00001 => [5,1]
[5,3,4,1,5,1] => [4,6,2,3,1,5] => 00000 => [6]
[5,3,4,5,1,1] => [5,6,2,3,1,4] => 00000 => [6]
[5,3,5,1,1,4] => [4,5,2,6,1,3] => 00000 => [6]
[5,3,5,1,4,1] => [4,6,2,5,1,3] => 00000 => [6]
[5,3,5,4,1,1] => [5,6,2,4,1,3] => 00000 => [6]
[5,4,1,1,3,5] => [3,4,5,2,1,6] => 00001 => [5,1]
[5,4,1,1,5,3] => [3,4,6,2,1,5] => 00000 => [6]
[5,4,1,3,1,5] => [3,5,4,2,1,6] => 00001 => [5,1]
[5,4,1,3,5,1] => [3,6,4,2,1,5] => 00000 => [6]
[5,4,1,5,1,3] => [3,5,6,2,1,4] => 00000 => [6]
[5,4,1,5,3,1] => [3,6,5,2,1,4] => 00000 => [6]
[5,4,3,1,1,5] => [4,5,3,2,1,6] => 00001 => [5,1]
[5,4,3,1,5,1] => [4,6,3,2,1,5] => 00000 => [6]
[5,4,3,5,1,1] => [5,6,3,2,1,4] => 00000 => [6]
[5,4,5,1,1,3] => [4,5,6,2,1,3] => 00000 => [6]
[5,4,5,1,3,1] => [4,6,5,2,1,3] => 00000 => [6]
[5,4,5,3,1,1] => [5,6,4,2,1,3] => 00000 => [6]
[5,5,1,1,3,4] => [3,4,5,6,1,2] => 00000 => [6]
[5,5,1,1,4,3] => [3,4,6,5,1,2] => 00000 => [6]
[5,5,1,3,1,4] => [3,5,4,6,1,2] => 00000 => [6]
[5,5,1,3,4,1] => [3,6,4,5,1,2] => 00000 => [6]
[5,5,1,4,1,3] => [3,5,6,4,1,2] => 00000 => [6]
[5,5,1,4,3,1] => [3,6,5,4,1,2] => 00000 => [6]
[5,5,3,1,1,4] => [4,5,3,6,1,2] => 00000 => [6]
[5,5,3,1,4,1] => [4,6,3,5,1,2] => 00000 => [6]
[5,5,3,4,1,1] => [5,6,3,4,1,2] => 00000 => [6]
[5,5,4,1,1,3] => [4,5,6,3,1,2] => 00000 => [6]
[5,5,4,1,3,1] => [4,6,5,3,1,2] => 00000 => [6]
[5,5,4,3,1,1] => [5,6,4,3,1,2] => 00000 => [6]
[1,1,3,4,5,6] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,1,3,4,6,5] => [1,2,3,4,6,5] => 11110 => [1,1,1,1,2]
[1,1,3,5,4,6] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,1,3,5,6,4] => [1,2,3,6,4,5] => 11100 => [1,1,1,3]
[1,1,3,6,4,5] => [1,2,3,5,6,4] => 11100 => [1,1,1,3]
[1,1,3,6,5,4] => [1,2,3,6,5,4] => 11100 => [1,1,1,3]
[1,1,4,3,5,6] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,1,4,3,6,5] => [1,2,4,3,6,5] => 11010 => [1,1,2,2]
[1,1,4,5,3,6] => [1,2,5,3,4,6] => 11001 => [1,1,3,1]
[1,1,4,5,6,3] => [1,2,6,3,4,5] => 11000 => [1,1,4]
[1,1,4,6,3,5] => [1,2,5,3,6,4] => 11000 => [1,1,4]
[1,1,4,6,5,3] => [1,2,6,3,5,4] => 11000 => [1,1,4]
[1,1,5,3,4,6] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,1,5,3,6,4] => [1,2,4,6,3,5] => 11000 => [1,1,4]
[1,1,5,4,3,6] => [1,2,5,4,3,6] => 11001 => [1,1,3,1]
[1,1,5,4,6,3] => [1,2,6,4,3,5] => 11000 => [1,1,4]
[1,1,5,6,3,4] => [1,2,5,6,3,4] => 11000 => [1,1,4]
[1,1,5,6,4,3] => [1,2,6,5,3,4] => 11000 => [1,1,4]
[1,1,6,3,4,5] => [1,2,4,5,6,3] => 11000 => [1,1,4]
[1,1,6,3,5,4] => [1,2,4,6,5,3] => 11000 => [1,1,4]
[1,1,6,4,3,5] => [1,2,5,4,6,3] => 11000 => [1,1,4]
[1,1,6,4,5,3] => [1,2,6,4,5,3] => 11000 => [1,1,4]
[1,1,6,5,3,4] => [1,2,5,6,4,3] => 11000 => [1,1,4]
[1,1,6,5,4,3] => [1,2,6,5,4,3] => 11000 => [1,1,4]
[1,3,1,4,5,6] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,1,4,6,5] => [1,3,2,4,6,5] => 10110 => [1,2,1,2]
[1,3,1,5,4,6] => [1,3,2,5,4,6] => 10101 => [1,2,2,1]
[1,3,1,5,6,4] => [1,3,2,6,4,5] => 10100 => [1,2,3]
[1,3,1,6,4,5] => [1,3,2,5,6,4] => 10100 => [1,2,3]
[1,3,1,6,5,4] => [1,3,2,6,5,4] => 10100 => [1,2,3]
[1,3,4,1,5,6] => [1,4,2,3,5,6] => 10011 => [1,3,1,1]
[1,3,4,1,6,5] => [1,4,2,3,6,5] => 10010 => [1,3,2]
[1,3,4,5,1,6] => [1,5,2,3,4,6] => 10001 => [1,4,1]
[1,3,4,5,6,1] => [1,6,2,3,4,5] => 10000 => [1,5]
[1,3,4,6,1,5] => [1,5,2,3,6,4] => 10000 => [1,5]
[1,3,4,6,5,1] => [1,6,2,3,5,4] => 10000 => [1,5]
[1,3,5,1,4,6] => [1,4,2,5,3,6] => 10001 => [1,4,1]
[1,3,5,1,6,4] => [1,4,2,6,3,5] => 10000 => [1,5]
[1,3,5,4,1,6] => [1,5,2,4,3,6] => 10001 => [1,4,1]
[1,3,5,4,6,1] => [1,6,2,4,3,5] => 10000 => [1,5]
[1,3,5,6,1,4] => [1,5,2,6,3,4] => 10000 => [1,5]
[1,3,5,6,4,1] => [1,6,2,5,3,4] => 10000 => [1,5]
[1,3,6,1,4,5] => [1,4,2,5,6,3] => 10000 => [1,5]
[1,3,6,1,5,4] => [1,4,2,6,5,3] => 10000 => [1,5]
[1,3,6,4,1,5] => [1,5,2,4,6,3] => 10000 => [1,5]
[1,3,6,4,5,1] => [1,6,2,4,5,3] => 10000 => [1,5]
[1,3,6,5,1,4] => [1,5,2,6,4,3] => 10000 => [1,5]
[1,3,6,5,4,1] => [1,6,2,5,4,3] => 10000 => [1,5]
[1,4,1,3,5,6] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,1,3,6,5] => [1,3,4,2,6,5] => 10010 => [1,3,2]
[1,4,1,5,3,6] => [1,3,5,2,4,6] => 10001 => [1,4,1]
[1,4,1,5,6,3] => [1,3,6,2,4,5] => 10000 => [1,5]
[1,4,1,6,3,5] => [1,3,5,2,6,4] => 10000 => [1,5]
[1,4,1,6,5,3] => [1,3,6,2,5,4] => 10000 => [1,5]
[1,4,3,1,5,6] => [1,4,3,2,5,6] => 10011 => [1,3,1,1]
[1,4,3,1,6,5] => [1,4,3,2,6,5] => 10010 => [1,3,2]
[1,4,3,5,1,6] => [1,5,3,2,4,6] => 10001 => [1,4,1]
[1,4,3,5,6,1] => [1,6,3,2,4,5] => 10000 => [1,5]
[1,4,3,6,1,5] => [1,5,3,2,6,4] => 10000 => [1,5]
[1,4,3,6,5,1] => [1,6,3,2,5,4] => 10000 => [1,5]
[1,4,5,1,3,6] => [1,4,5,2,3,6] => 10001 => [1,4,1]
[1,4,5,1,6,3] => [1,4,6,2,3,5] => 10000 => [1,5]
[1,4,5,3,1,6] => [1,5,4,2,3,6] => 10001 => [1,4,1]
[1,4,5,3,6,1] => [1,6,4,2,3,5] => 10000 => [1,5]
[1,4,5,6,1,3] => [1,5,6,2,3,4] => 10000 => [1,5]
[1,4,5,6,3,1] => [1,6,5,2,3,4] => 10000 => [1,5]
[1,4,6,1,3,5] => [1,4,5,2,6,3] => 10000 => [1,5]
[1,4,6,1,5,3] => [1,4,6,2,5,3] => 10000 => [1,5]
[1,4,6,3,1,5] => [1,5,4,2,6,3] => 10000 => [1,5]
[1,4,6,3,5,1] => [1,6,4,2,5,3] => 10000 => [1,5]
[1,4,6,5,1,3] => [1,5,6,2,4,3] => 10000 => [1,5]
[1,4,6,5,3,1] => [1,6,5,2,4,3] => 10000 => [1,5]
[1,5,1,3,4,6] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,1,3,6,4] => [1,3,4,6,2,5] => 10000 => [1,5]
[1,5,1,4,3,6] => [1,3,5,4,2,6] => 10001 => [1,4,1]
[1,5,1,4,6,3] => [1,3,6,4,2,5] => 10000 => [1,5]
[1,5,1,6,3,4] => [1,3,5,6,2,4] => 10000 => [1,5]
[1,5,1,6,4,3] => [1,3,6,5,2,4] => 10000 => [1,5]
[1,5,3,1,4,6] => [1,4,3,5,2,6] => 10001 => [1,4,1]
[1,5,3,1,6,4] => [1,4,3,6,2,5] => 10000 => [1,5]
[1,5,3,4,1,6] => [1,5,3,4,2,6] => 10001 => [1,4,1]
[1,5,3,4,6,1] => [1,6,3,4,2,5] => 10000 => [1,5]
[1,5,3,6,1,4] => [1,5,3,6,2,4] => 10000 => [1,5]
[1,5,3,6,4,1] => [1,6,3,5,2,4] => 10000 => [1,5]
[1,5,4,1,3,6] => [1,4,5,3,2,6] => 10001 => [1,4,1]
[1,5,4,1,6,3] => [1,4,6,3,2,5] => 10000 => [1,5]
[1,5,4,3,1,6] => [1,5,4,3,2,6] => 10001 => [1,4,1]
[1,5,4,3,6,1] => [1,6,4,3,2,5] => 10000 => [1,5]
[1,5,4,6,1,3] => [1,5,6,3,2,4] => 10000 => [1,5]
[1,5,4,6,3,1] => [1,6,5,3,2,4] => 10000 => [1,5]
[1,5,6,1,3,4] => [1,4,5,6,2,3] => 10000 => [1,5]
[1,5,6,1,4,3] => [1,4,6,5,2,3] => 10000 => [1,5]
[1,5,6,3,1,4] => [1,5,4,6,2,3] => 10000 => [1,5]
[1,5,6,3,4,1] => [1,6,4,5,2,3] => 10000 => [1,5]
[1,5,6,4,1,3] => [1,5,6,4,2,3] => 10000 => [1,5]
[1,5,6,4,3,1] => [1,6,5,4,2,3] => 10000 => [1,5]
[1,6,1,3,4,5] => [1,3,4,5,6,2] => 10000 => [1,5]
[1,6,1,3,5,4] => [1,3,4,6,5,2] => 10000 => [1,5]
[1,6,1,4,3,5] => [1,3,5,4,6,2] => 10000 => [1,5]
[1,6,1,4,5,3] => [1,3,6,4,5,2] => 10000 => [1,5]
[1,6,1,5,3,4] => [1,3,5,6,4,2] => 10000 => [1,5]
[1,6,1,5,4,3] => [1,3,6,5,4,2] => 10000 => [1,5]
[1,6,3,1,4,5] => [1,4,3,5,6,2] => 10000 => [1,5]
[1,6,3,1,5,4] => [1,4,3,6,5,2] => 10000 => [1,5]
[1,6,3,4,1,5] => [1,5,3,4,6,2] => 10000 => [1,5]
[1,6,3,4,5,1] => [1,6,3,4,5,2] => 10000 => [1,5]
[1,6,3,5,1,4] => [1,5,3,6,4,2] => 10000 => [1,5]
[1,6,3,5,4,1] => [1,6,3,5,4,2] => 10000 => [1,5]
[1,6,4,1,3,5] => [1,4,5,3,6,2] => 10000 => [1,5]
[1,6,4,1,5,3] => [1,4,6,3,5,2] => 10000 => [1,5]
[1,6,4,3,1,5] => [1,5,4,3,6,2] => 10000 => [1,5]
[1,6,4,3,5,1] => [1,6,4,3,5,2] => 10000 => [1,5]
[1,6,4,5,1,3] => [1,5,6,3,4,2] => 10000 => [1,5]
[1,6,4,5,3,1] => [1,6,5,3,4,2] => 10000 => [1,5]
[1,6,5,1,3,4] => [1,4,5,6,3,2] => 10000 => [1,5]
[1,6,5,1,4,3] => [1,4,6,5,3,2] => 10000 => [1,5]
[1,6,5,3,1,4] => [1,5,4,6,3,2] => 10000 => [1,5]
[1,6,5,3,4,1] => [1,6,4,5,3,2] => 10000 => [1,5]
[1,6,5,4,1,3] => [1,5,6,4,3,2] => 10000 => [1,5]
[1,6,5,4,3,1] => [1,6,5,4,3,2] => 10000 => [1,5]
[3,1,1,4,5,6] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,1,4,6,5] => [2,3,1,4,6,5] => 00110 => [3,1,2]
[3,1,1,5,4,6] => [2,3,1,5,4,6] => 00101 => [3,2,1]
[3,1,1,5,6,4] => [2,3,1,6,4,5] => 00100 => [3,3]
[3,1,1,6,4,5] => [2,3,1,5,6,4] => 00100 => [3,3]
[3,1,1,6,5,4] => [2,3,1,6,5,4] => 00100 => [3,3]
[3,1,4,1,5,6] => [2,4,1,3,5,6] => 00011 => [4,1,1]
[3,1,4,1,6,5] => [2,4,1,3,6,5] => 00010 => [4,2]
[3,1,4,5,1,6] => [2,5,1,3,4,6] => 00001 => [5,1]
[3,1,4,5,6,1] => [2,6,1,3,4,5] => 00000 => [6]
[3,1,4,6,1,5] => [2,5,1,3,6,4] => 00000 => [6]
[3,1,4,6,5,1] => [2,6,1,3,5,4] => 00000 => [6]
[3,1,5,1,4,6] => [2,4,1,5,3,6] => 00001 => [5,1]
[3,1,5,1,6,4] => [2,4,1,6,3,5] => 00000 => [6]
[3,1,5,4,1,6] => [2,5,1,4,3,6] => 00001 => [5,1]
[3,1,5,4,6,1] => [2,6,1,4,3,5] => 00000 => [6]
[3,1,5,6,1,4] => [2,5,1,6,3,4] => 00000 => [6]
[3,1,5,6,4,1] => [2,6,1,5,3,4] => 00000 => [6]
[3,1,6,1,4,5] => [2,4,1,5,6,3] => 00000 => [6]
[3,1,6,1,5,4] => [2,4,1,6,5,3] => 00000 => [6]
[3,1,6,4,1,5] => [2,5,1,4,6,3] => 00000 => [6]
[3,1,6,4,5,1] => [2,6,1,4,5,3] => 00000 => [6]
[3,1,6,5,1,4] => [2,5,1,6,4,3] => 00000 => [6]
[3,1,6,5,4,1] => [2,6,1,5,4,3] => 00000 => [6]
[3,4,1,1,5,6] => [3,4,1,2,5,6] => 00011 => [4,1,1]
[3,4,1,1,6,5] => [3,4,1,2,6,5] => 00010 => [4,2]
[3,4,1,5,1,6] => [3,5,1,2,4,6] => 00001 => [5,1]
[3,4,1,5,6,1] => [3,6,1,2,4,5] => 00000 => [6]
[3,4,1,6,1,5] => [3,5,1,2,6,4] => 00000 => [6]
[3,4,1,6,5,1] => [3,6,1,2,5,4] => 00000 => [6]
[3,4,5,1,1,6] => [4,5,1,2,3,6] => 00001 => [5,1]
[3,4,5,1,6,1] => [4,6,1,2,3,5] => 00000 => [6]
[3,4,5,6,1,1] => [5,6,1,2,3,4] => 00000 => [6]
[3,4,6,1,1,5] => [4,5,1,2,6,3] => 00000 => [6]
[3,4,6,1,5,1] => [4,6,1,2,5,3] => 00000 => [6]
[3,4,6,5,1,1] => [5,6,1,2,4,3] => 00000 => [6]
[3,5,1,1,4,6] => [3,4,1,5,2,6] => 00001 => [5,1]
[3,5,1,1,6,4] => [3,4,1,6,2,5] => 00000 => [6]
[3,5,1,4,1,6] => [3,5,1,4,2,6] => 00001 => [5,1]
[3,5,1,4,6,1] => [3,6,1,4,2,5] => 00000 => [6]
[3,5,1,6,1,4] => [3,5,1,6,2,4] => 00000 => [6]
[3,5,1,6,4,1] => [3,6,1,5,2,4] => 00000 => [6]
[3,5,4,1,1,6] => [4,5,1,3,2,6] => 00001 => [5,1]
[3,5,4,1,6,1] => [4,6,1,3,2,5] => 00000 => [6]
[3,5,4,6,1,1] => [5,6,1,3,2,4] => 00000 => [6]
[3,5,6,1,1,4] => [4,5,1,6,2,3] => 00000 => [6]
[3,5,6,1,4,1] => [4,6,1,5,2,3] => 00000 => [6]
[3,5,6,4,1,1] => [5,6,1,4,2,3] => 00000 => [6]
[3,6,1,1,4,5] => [3,4,1,5,6,2] => 00000 => [6]
[3,6,1,1,5,4] => [3,4,1,6,5,2] => 00000 => [6]
[3,6,1,4,1,5] => [3,5,1,4,6,2] => 00000 => [6]
[3,6,1,4,5,1] => [3,6,1,4,5,2] => 00000 => [6]
[3,6,1,5,1,4] => [3,5,1,6,4,2] => 00000 => [6]
[3,6,1,5,4,1] => [3,6,1,5,4,2] => 00000 => [6]
[3,6,4,1,1,5] => [4,5,1,3,6,2] => 00000 => [6]
[3,6,4,1,5,1] => [4,6,1,3,5,2] => 00000 => [6]
[3,6,4,5,1,1] => [5,6,1,3,4,2] => 00000 => [6]
[3,6,5,1,1,4] => [4,5,1,6,3,2] => 00000 => [6]
[3,6,5,1,4,1] => [4,6,1,5,3,2] => 00000 => [6]
[3,6,5,4,1,1] => [5,6,1,4,3,2] => 00000 => [6]
[4,1,1,3,5,6] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,1,3,6,5] => [2,3,4,1,6,5] => 00010 => [4,2]
[4,1,1,5,3,6] => [2,3,5,1,4,6] => 00001 => [5,1]
[4,1,1,5,6,3] => [2,3,6,1,4,5] => 00000 => [6]
[4,1,1,6,3,5] => [2,3,5,1,6,4] => 00000 => [6]
[4,1,1,6,5,3] => [2,3,6,1,5,4] => 00000 => [6]
[4,1,3,1,5,6] => [2,4,3,1,5,6] => 00011 => [4,1,1]
[4,1,3,1,6,5] => [2,4,3,1,6,5] => 00010 => [4,2]
[4,1,3,5,1,6] => [2,5,3,1,4,6] => 00001 => [5,1]
[4,1,3,5,6,1] => [2,6,3,1,4,5] => 00000 => [6]
[4,1,3,6,1,5] => [2,5,3,1,6,4] => 00000 => [6]
[4,1,3,6,5,1] => [2,6,3,1,5,4] => 00000 => [6]
[4,1,5,1,3,6] => [2,4,5,1,3,6] => 00001 => [5,1]
[4,1,5,1,6,3] => [2,4,6,1,3,5] => 00000 => [6]
[4,1,5,3,1,6] => [2,5,4,1,3,6] => 00001 => [5,1]
[4,1,5,3,6,1] => [2,6,4,1,3,5] => 00000 => [6]
[4,1,5,6,1,3] => [2,5,6,1,3,4] => 00000 => [6]
[4,1,5,6,3,1] => [2,6,5,1,3,4] => 00000 => [6]
[4,1,6,1,3,5] => [2,4,5,1,6,3] => 00000 => [6]
[4,1,6,1,5,3] => [2,4,6,1,5,3] => 00000 => [6]
[4,1,6,3,1,5] => [2,5,4,1,6,3] => 00000 => [6]
[4,1,6,3,5,1] => [2,6,4,1,5,3] => 00000 => [6]
[4,1,6,5,1,3] => [2,5,6,1,4,3] => 00000 => [6]
[4,1,6,5,3,1] => [2,6,5,1,4,3] => 00000 => [6]
[4,3,1,1,5,6] => [3,4,2,1,5,6] => 00011 => [4,1,1]
[4,3,1,1,6,5] => [3,4,2,1,6,5] => 00010 => [4,2]
[4,3,1,5,1,6] => [3,5,2,1,4,6] => 00001 => [5,1]
[4,3,1,5,6,1] => [3,6,2,1,4,5] => 00000 => [6]
[4,3,1,6,1,5] => [3,5,2,1,6,4] => 00000 => [6]
[4,3,1,6,5,1] => [3,6,2,1,5,4] => 00000 => [6]
[4,3,5,1,1,6] => [4,5,2,1,3,6] => 00001 => [5,1]
[4,3,5,1,6,1] => [4,6,2,1,3,5] => 00000 => [6]
[4,3,5,6,1,1] => [5,6,2,1,3,4] => 00000 => [6]
[4,3,6,1,1,5] => [4,5,2,1,6,3] => 00000 => [6]
[4,3,6,1,5,1] => [4,6,2,1,5,3] => 00000 => [6]
[4,3,6,5,1,1] => [5,6,2,1,4,3] => 00000 => [6]
[4,5,1,1,3,6] => [3,4,5,1,2,6] => 00001 => [5,1]
[4,5,1,1,6,3] => [3,4,6,1,2,5] => 00000 => [6]
[4,5,1,3,1,6] => [3,5,4,1,2,6] => 00001 => [5,1]
[4,5,1,3,6,1] => [3,6,4,1,2,5] => 00000 => [6]
[4,5,1,6,1,3] => [3,5,6,1,2,4] => 00000 => [6]
[4,5,1,6,3,1] => [3,6,5,1,2,4] => 00000 => [6]
[4,5,3,1,1,6] => [4,5,3,1,2,6] => 00001 => [5,1]
[4,5,3,1,6,1] => [4,6,3,1,2,5] => 00000 => [6]
[4,5,3,6,1,1] => [5,6,3,1,2,4] => 00000 => [6]
[4,5,6,1,1,3] => [4,5,6,1,2,3] => 00000 => [6]
[4,5,6,1,3,1] => [4,6,5,1,2,3] => 00000 => [6]
[4,5,6,3,1,1] => [5,6,4,1,2,3] => 00000 => [6]
[4,6,1,1,3,5] => [3,4,5,1,6,2] => 00000 => [6]
[4,6,1,1,5,3] => [3,4,6,1,5,2] => 00000 => [6]
[4,6,1,3,1,5] => [3,5,4,1,6,2] => 00000 => [6]
[4,6,1,3,5,1] => [3,6,4,1,5,2] => 00000 => [6]
[4,6,1,5,1,3] => [3,5,6,1,4,2] => 00000 => [6]
[4,6,1,5,3,1] => [3,6,5,1,4,2] => 00000 => [6]
[4,6,3,1,1,5] => [4,5,3,1,6,2] => 00000 => [6]
[4,6,3,1,5,1] => [4,6,3,1,5,2] => 00000 => [6]
[4,6,3,5,1,1] => [5,6,3,1,4,2] => 00000 => [6]
[4,6,5,1,1,3] => [4,5,6,1,3,2] => 00000 => [6]
[4,6,5,1,3,1] => [4,6,5,1,3,2] => 00000 => [6]
[4,6,5,3,1,1] => [5,6,4,1,3,2] => 00000 => [6]
[5,1,1,3,4,6] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,1,3,6,4] => [2,3,4,6,1,5] => 00000 => [6]
[5,1,1,4,3,6] => [2,3,5,4,1,6] => 00001 => [5,1]
[5,1,1,4,6,3] => [2,3,6,4,1,5] => 00000 => [6]
[5,1,1,6,3,4] => [2,3,5,6,1,4] => 00000 => [6]
[5,1,1,6,4,3] => [2,3,6,5,1,4] => 00000 => [6]
[5,1,3,1,4,6] => [2,4,3,5,1,6] => 00001 => [5,1]
[5,1,3,1,6,4] => [2,4,3,6,1,5] => 00000 => [6]
[5,1,3,4,1,6] => [2,5,3,4,1,6] => 00001 => [5,1]
[5,1,3,4,6,1] => [2,6,3,4,1,5] => 00000 => [6]
[5,1,3,6,1,4] => [2,5,3,6,1,4] => 00000 => [6]
[5,1,3,6,4,1] => [2,6,3,5,1,4] => 00000 => [6]
[5,1,4,1,3,6] => [2,4,5,3,1,6] => 00001 => [5,1]
[5,1,4,1,6,3] => [2,4,6,3,1,5] => 00000 => [6]
[5,1,4,3,1,6] => [2,5,4,3,1,6] => 00001 => [5,1]
[5,1,4,3,6,1] => [2,6,4,3,1,5] => 00000 => [6]
[5,1,4,6,1,3] => [2,5,6,3,1,4] => 00000 => [6]
[5,1,4,6,3,1] => [2,6,5,3,1,4] => 00000 => [6]
[5,1,6,1,3,4] => [2,4,5,6,1,3] => 00000 => [6]
[5,1,6,1,4,3] => [2,4,6,5,1,3] => 00000 => [6]
[5,1,6,3,1,4] => [2,5,4,6,1,3] => 00000 => [6]
[5,1,6,3,4,1] => [2,6,4,5,1,3] => 00000 => [6]
[5,1,6,4,1,3] => [2,5,6,4,1,3] => 00000 => [6]
[5,1,6,4,3,1] => [2,6,5,4,1,3] => 00000 => [6]
[5,3,1,1,4,6] => [3,4,2,5,1,6] => 00001 => [5,1]
[5,3,1,1,6,4] => [3,4,2,6,1,5] => 00000 => [6]
[5,3,1,4,1,6] => [3,5,2,4,1,6] => 00001 => [5,1]
[5,3,1,4,6,1] => [3,6,2,4,1,5] => 00000 => [6]
[5,3,1,6,1,4] => [3,5,2,6,1,4] => 00000 => [6]
[5,3,1,6,4,1] => [3,6,2,5,1,4] => 00000 => [6]
[5,3,4,1,1,6] => [4,5,2,3,1,6] => 00001 => [5,1]
[5,3,4,1,6,1] => [4,6,2,3,1,5] => 00000 => [6]
[5,3,4,6,1,1] => [5,6,2,3,1,4] => 00000 => [6]
[5,3,6,1,1,4] => [4,5,2,6,1,3] => 00000 => [6]
[5,3,6,1,4,1] => [4,6,2,5,1,3] => 00000 => [6]
[5,3,6,4,1,1] => [5,6,2,4,1,3] => 00000 => [6]
[5,4,1,1,3,6] => [3,4,5,2,1,6] => 00001 => [5,1]
[5,4,1,1,6,3] => [3,4,6,2,1,5] => 00000 => [6]
[5,4,1,3,1,6] => [3,5,4,2,1,6] => 00001 => [5,1]
[5,4,1,3,6,1] => [3,6,4,2,1,5] => 00000 => [6]
[5,4,1,6,1,3] => [3,5,6,2,1,4] => 00000 => [6]
[5,4,1,6,3,1] => [3,6,5,2,1,4] => 00000 => [6]
[5,4,3,1,1,6] => [4,5,3,2,1,6] => 00001 => [5,1]
[5,4,3,1,6,1] => [4,6,3,2,1,5] => 00000 => [6]
[5,4,3,6,1,1] => [5,6,3,2,1,4] => 00000 => [6]
[5,4,6,1,1,3] => [4,5,6,2,1,3] => 00000 => [6]
[5,4,6,1,3,1] => [4,6,5,2,1,3] => 00000 => [6]
[5,4,6,3,1,1] => [5,6,4,2,1,3] => 00000 => [6]
[5,6,1,1,3,4] => [3,4,5,6,1,2] => 00000 => [6]
[5,6,1,1,4,3] => [3,4,6,5,1,2] => 00000 => [6]
[5,6,1,3,1,4] => [3,5,4,6,1,2] => 00000 => [6]
[5,6,1,3,4,1] => [3,6,4,5,1,2] => 00000 => [6]
[5,6,1,4,1,3] => [3,5,6,4,1,2] => 00000 => [6]
[5,6,1,4,3,1] => [3,6,5,4,1,2] => 00000 => [6]
[5,6,3,1,1,4] => [4,5,3,6,1,2] => 00000 => [6]
[5,6,3,1,4,1] => [4,6,3,5,1,2] => 00000 => [6]
[5,6,3,4,1,1] => [5,6,3,4,1,2] => 00000 => [6]
[5,6,4,1,1,3] => [4,5,6,3,1,2] => 00000 => [6]
[5,6,4,1,3,1] => [4,6,5,3,1,2] => 00000 => [6]
[5,6,4,3,1,1] => [5,6,4,3,1,2] => 00000 => [6]
[6,1,1,3,4,5] => [2,3,4,5,6,1] => 00000 => [6]
[6,1,1,3,5,4] => [2,3,4,6,5,1] => 00000 => [6]
[6,1,1,4,3,5] => [2,3,5,4,6,1] => 00000 => [6]
[6,1,1,4,5,3] => [2,3,6,4,5,1] => 00000 => [6]
[6,1,1,5,3,4] => [2,3,5,6,4,1] => 00000 => [6]
[6,1,1,5,4,3] => [2,3,6,5,4,1] => 00000 => [6]
[6,1,3,1,4,5] => [2,4,3,5,6,1] => 00000 => [6]
[6,1,3,1,5,4] => [2,4,3,6,5,1] => 00000 => [6]
[6,1,3,4,1,5] => [2,5,3,4,6,1] => 00000 => [6]
[6,1,3,4,5,1] => [2,6,3,4,5,1] => 00000 => [6]
[6,1,3,5,1,4] => [2,5,3,6,4,1] => 00000 => [6]
[6,1,3,5,4,1] => [2,6,3,5,4,1] => 00000 => [6]
[6,1,4,1,3,5] => [2,4,5,3,6,1] => 00000 => [6]
[6,1,4,1,5,3] => [2,4,6,3,5,1] => 00000 => [6]
[6,1,4,3,1,5] => [2,5,4,3,6,1] => 00000 => [6]
[6,1,4,3,5,1] => [2,6,4,3,5,1] => 00000 => [6]
[6,1,4,5,1,3] => [2,5,6,3,4,1] => 00000 => [6]
[6,1,4,5,3,1] => [2,6,5,3,4,1] => 00000 => [6]
[6,1,5,1,3,4] => [2,4,5,6,3,1] => 00000 => [6]
[6,1,5,1,4,3] => [2,4,6,5,3,1] => 00000 => [6]
[6,1,5,3,1,4] => [2,5,4,6,3,1] => 00000 => [6]
[6,1,5,3,4,1] => [2,6,4,5,3,1] => 00000 => [6]
[6,1,5,4,1,3] => [2,5,6,4,3,1] => 00000 => [6]
[6,1,5,4,3,1] => [2,6,5,4,3,1] => 00000 => [6]
[6,3,1,1,4,5] => [3,4,2,5,6,1] => 00000 => [6]
[6,3,1,1,5,4] => [3,4,2,6,5,1] => 00000 => [6]
[6,3,1,4,1,5] => [3,5,2,4,6,1] => 00000 => [6]
[6,3,1,4,5,1] => [3,6,2,4,5,1] => 00000 => [6]
[6,3,1,5,1,4] => [3,5,2,6,4,1] => 00000 => [6]
[6,3,1,5,4,1] => [3,6,2,5,4,1] => 00000 => [6]
[6,3,4,1,1,5] => [4,5,2,3,6,1] => 00000 => [6]
[6,3,4,1,5,1] => [4,6,2,3,5,1] => 00000 => [6]
[6,3,4,5,1,1] => [5,6,2,3,4,1] => 00000 => [6]
[6,3,5,1,1,4] => [4,5,2,6,3,1] => 00000 => [6]
[6,3,5,1,4,1] => [4,6,2,5,3,1] => 00000 => [6]
[6,3,5,4,1,1] => [5,6,2,4,3,1] => 00000 => [6]
[6,4,1,1,3,5] => [3,4,5,2,6,1] => 00000 => [6]
[6,4,1,1,5,3] => [3,4,6,2,5,1] => 00000 => [6]
[6,4,1,3,1,5] => [3,5,4,2,6,1] => 00000 => [6]
[6,4,1,3,5,1] => [3,6,4,2,5,1] => 00000 => [6]
[6,4,1,5,1,3] => [3,5,6,2,4,1] => 00000 => [6]
[6,4,1,5,3,1] => [3,6,5,2,4,1] => 00000 => [6]
[6,4,3,1,1,5] => [4,5,3,2,6,1] => 00000 => [6]
[6,4,3,1,5,1] => [4,6,3,2,5,1] => 00000 => [6]
[6,4,3,5,1,1] => [5,6,3,2,4,1] => 00000 => [6]
[6,4,5,1,1,3] => [4,5,6,2,3,1] => 00000 => [6]
[6,4,5,1,3,1] => [4,6,5,2,3,1] => 00000 => [6]
[6,4,5,3,1,1] => [5,6,4,2,3,1] => 00000 => [6]
[6,5,1,1,3,4] => [3,4,5,6,2,1] => 00000 => [6]
[6,5,1,1,4,3] => [3,4,6,5,2,1] => 00000 => [6]
[6,5,1,3,1,4] => [3,5,4,6,2,1] => 00000 => [6]
[6,5,1,3,4,1] => [3,6,4,5,2,1] => 00000 => [6]
[6,5,1,4,1,3] => [3,5,6,4,2,1] => 00000 => [6]
[6,5,1,4,3,1] => [3,6,5,4,2,1] => 00000 => [6]
[6,5,3,1,1,4] => [4,5,3,6,2,1] => 00000 => [6]
[6,5,3,1,4,1] => [4,6,3,5,2,1] => 00000 => [6]
[6,5,3,4,1,1] => [5,6,3,4,2,1] => 00000 => [6]
[6,5,4,1,1,3] => [4,5,6,3,2,1] => 00000 => [6]
[6,5,4,1,3,1] => [4,6,5,3,2,1] => 00000 => [6]
[6,5,4,3,1,1] => [5,6,4,3,2,1] => 00000 => [6]
[1,2,2,2,2,2] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[2,1,2,2,2,2] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,2,1,2,2,2] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,2,2,1,2,2] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,2,2,2,1,2] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,2,2,2,2,1] => [6,1,2,3,4,5] => 00000 => [6]
[1,2,2,2,2,3] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,2,2,3,2] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,2,3,2,2] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,3,2,2,2] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,3,2,2,2,2] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[2,1,2,2,2,3] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,2,2,3,2] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,2,3,2,2] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,3,2,2,2] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,2,1,2,2,3] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,2,1,2,3,2] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,2,1,3,2,2] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,2,2,1,2,3] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,2,2,1,3,2] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,2,2,2,1,3] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,2,2,2,3,1] => [6,1,2,3,4,5] => 00000 => [6]
[2,2,2,3,1,2] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,2,2,3,2,1] => [6,1,2,3,4,5] => 00000 => [6]
[2,2,3,1,2,2] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,2,3,2,1,2] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,2,3,2,2,1] => [6,1,2,3,4,5] => 00000 => [6]
[2,3,1,2,2,2] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,3,2,1,2,2] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,3,2,2,1,2] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,3,2,2,2,1] => [6,1,2,3,4,5] => 00000 => [6]
[3,1,2,2,2,2] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,2,1,2,2,2] => [3,2,1,4,5,6] => 00111 => [3,1,1,1]
[3,2,2,1,2,2] => [4,2,1,3,5,6] => 00011 => [4,1,1]
[3,2,2,2,1,2] => [5,2,1,3,4,6] => 00001 => [5,1]
[3,2,2,2,2,1] => [6,2,1,3,4,5] => 00000 => [6]
[1,2,2,2,2,4] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,2,2,4,2] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,2,4,2,2] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,4,2,2,2] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,4,2,2,2,2] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[2,1,2,2,2,4] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,2,2,4,2] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,2,4,2,2] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,4,2,2,2] => [2,1,4,3,5,6] => 01011 => [2,2,1,1]
[2,2,1,2,2,4] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,2,1,2,4,2] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,2,1,4,2,2] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,2,2,1,2,4] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,2,2,1,4,2] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,2,2,2,1,4] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,2,2,2,4,1] => [6,1,2,3,4,5] => 00000 => [6]
[2,2,2,4,1,2] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,2,2,4,2,1] => [6,1,2,3,4,5] => 00000 => [6]
[2,2,4,1,2,2] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,2,4,2,1,2] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,2,4,2,2,1] => [6,1,2,3,4,5] => 00000 => [6]
[2,4,1,2,2,2] => [3,1,4,2,5,6] => 00011 => [4,1,1]
[2,4,2,1,2,2] => [4,1,3,2,5,6] => 00011 => [4,1,1]
[2,4,2,2,1,2] => [5,1,3,2,4,6] => 00001 => [5,1]
[2,4,2,2,2,1] => [6,1,3,2,4,5] => 00000 => [6]
[4,1,2,2,2,2] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,2,1,2,2,2] => [3,2,4,1,5,6] => 00011 => [4,1,1]
[4,2,2,1,2,2] => [4,2,3,1,5,6] => 00011 => [4,1,1]
[4,2,2,2,1,2] => [5,2,3,1,4,6] => 00001 => [5,1]
[4,2,2,2,2,1] => [6,2,3,1,4,5] => 00000 => [6]
[1,2,2,2,2,5] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,2,2,5,2] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,2,5,2,2] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,2,5,2,2,2] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,5,2,2,2,2] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[2,1,2,2,2,5] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,2,2,5,2] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,2,5,2,2] => [2,1,3,5,4,6] => 01101 => [2,1,2,1]
[2,1,5,2,2,2] => [2,1,4,5,3,6] => 01001 => [2,3,1]
[2,2,1,2,2,5] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,2,1,2,5,2] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,2,1,5,2,2] => [3,1,2,5,4,6] => 00101 => [3,2,1]
[2,2,2,1,2,5] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,2,2,1,5,2] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,2,2,2,1,5] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,2,2,2,5,1] => [6,1,2,3,4,5] => 00000 => [6]
[2,2,2,5,1,2] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,2,2,5,2,1] => [6,1,2,3,4,5] => 00000 => [6]
[2,2,5,1,2,2] => [4,1,2,5,3,6] => 00001 => [5,1]
[2,2,5,2,1,2] => [5,1,2,4,3,6] => 00001 => [5,1]
[2,2,5,2,2,1] => [6,1,2,4,3,5] => 00000 => [6]
[2,5,1,2,2,2] => [3,1,4,5,2,6] => 00001 => [5,1]
[2,5,2,1,2,2] => [4,1,3,5,2,6] => 00001 => [5,1]
[2,5,2,2,1,2] => [5,1,3,4,2,6] => 00001 => [5,1]
[2,5,2,2,2,1] => [6,1,3,4,2,5] => 00000 => [6]
[5,1,2,2,2,2] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,2,1,2,2,2] => [3,2,4,5,1,6] => 00001 => [5,1]
[5,2,2,1,2,2] => [4,2,3,5,1,6] => 00001 => [5,1]
[5,2,2,2,1,2] => [5,2,3,4,1,6] => 00001 => [5,1]
[5,2,2,2,2,1] => [6,2,3,4,1,5] => 00000 => [6]
[1,2,2,2,2,6] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,2,2,6,2] => [1,2,3,4,6,5] => 11110 => [1,1,1,1,2]
[1,2,2,6,2,2] => [1,2,3,5,6,4] => 11100 => [1,1,1,3]
[1,2,6,2,2,2] => [1,2,4,5,6,3] => 11000 => [1,1,4]
[1,6,2,2,2,2] => [1,3,4,5,6,2] => 10000 => [1,5]
[2,1,2,2,2,6] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,2,2,6,2] => [2,1,3,4,6,5] => 01110 => [2,1,1,2]
[2,1,2,6,2,2] => [2,1,3,5,6,4] => 01100 => [2,1,3]
[2,1,6,2,2,2] => [2,1,4,5,6,3] => 01000 => [2,4]
[2,2,1,2,2,6] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,2,1,2,6,2] => [3,1,2,4,6,5] => 00110 => [3,1,2]
[2,2,1,6,2,2] => [3,1,2,5,6,4] => 00100 => [3,3]
[2,2,2,1,2,6] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,2,2,1,6,2] => [4,1,2,3,6,5] => 00010 => [4,2]
[2,2,2,2,1,6] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,2,2,2,6,1] => [6,1,2,3,4,5] => 00000 => [6]
[2,2,2,6,1,2] => [5,1,2,3,6,4] => 00000 => [6]
[2,2,2,6,2,1] => [6,1,2,3,5,4] => 00000 => [6]
[2,2,6,1,2,2] => [4,1,2,5,6,3] => 00000 => [6]
[2,2,6,2,1,2] => [5,1,2,4,6,3] => 00000 => [6]
[2,2,6,2,2,1] => [6,1,2,4,5,3] => 00000 => [6]
[2,6,1,2,2,2] => [3,1,4,5,6,2] => 00000 => [6]
[2,6,2,1,2,2] => [4,1,3,5,6,2] => 00000 => [6]
[2,6,2,2,1,2] => [5,1,3,4,6,2] => 00000 => [6]
[2,6,2,2,2,1] => [6,1,3,4,5,2] => 00000 => [6]
[6,1,2,2,2,2] => [2,3,4,5,6,1] => 00000 => [6]
[6,2,1,2,2,2] => [3,2,4,5,6,1] => 00000 => [6]
[6,2,2,1,2,2] => [4,2,3,5,6,1] => 00000 => [6]
[6,2,2,2,1,2] => [5,2,3,4,6,1] => 00000 => [6]
[6,2,2,2,2,1] => [6,2,3,4,5,1] => 00000 => [6]
[1,2,2,2,3,3] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,2,3,2,3] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,2,3,3,2] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,3,2,2,3] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,3,2,3,2] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,3,3,2,2] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,3,2,2,2,3] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,2,2,3,2] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,2,3,2,2] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,3,2,2,2] => [1,4,2,3,5,6] => 10011 => [1,3,1,1]
[2,1,2,2,3,3] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,2,3,2,3] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,2,3,3,2] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,3,2,2,3] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,3,2,3,2] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,3,3,2,2] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,2,1,2,3,3] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,2,1,3,2,3] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,2,1,3,3,2] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,2,2,1,3,3] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,2,2,3,1,3] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,2,2,3,3,1] => [6,1,2,3,4,5] => 00000 => [6]
[2,2,3,1,2,3] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,2,3,1,3,2] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,2,3,2,1,3] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,2,3,2,3,1] => [6,1,2,3,4,5] => 00000 => [6]
[2,2,3,3,1,2] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,2,3,3,2,1] => [6,1,2,3,4,5] => 00000 => [6]
[2,3,1,2,2,3] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,3,1,2,3,2] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,3,1,3,2,2] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,3,2,1,2,3] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,3,2,1,3,2] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,3,2,2,1,3] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,3,2,2,3,1] => [6,1,2,3,4,5] => 00000 => [6]
[2,3,2,3,1,2] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,3,2,3,2,1] => [6,1,2,3,4,5] => 00000 => [6]
[2,3,3,1,2,2] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,3,3,2,1,2] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,3,3,2,2,1] => [6,1,2,3,4,5] => 00000 => [6]
[3,1,2,2,2,3] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,2,2,3,2] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,2,3,2,2] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,3,2,2,2] => [2,4,1,3,5,6] => 00011 => [4,1,1]
[3,2,1,2,2,3] => [3,2,1,4,5,6] => 00111 => [3,1,1,1]
[3,2,1,2,3,2] => [3,2,1,4,5,6] => 00111 => [3,1,1,1]
[3,2,1,3,2,2] => [3,2,1,4,5,6] => 00111 => [3,1,1,1]
[3,2,2,1,2,3] => [4,2,1,3,5,6] => 00011 => [4,1,1]
[3,2,2,1,3,2] => [4,2,1,3,5,6] => 00011 => [4,1,1]
[3,2,2,2,1,3] => [5,2,1,3,4,6] => 00001 => [5,1]
[3,2,2,2,3,1] => [6,2,1,3,4,5] => 00000 => [6]
[3,2,2,3,1,2] => [5,2,1,3,4,6] => 00001 => [5,1]
[3,2,2,3,2,1] => [6,2,1,3,4,5] => 00000 => [6]
[3,2,3,1,2,2] => [4,2,1,3,5,6] => 00011 => [4,1,1]
[3,2,3,2,1,2] => [5,2,1,3,4,6] => 00001 => [5,1]
[3,2,3,2,2,1] => [6,2,1,3,4,5] => 00000 => [6]
[3,3,1,2,2,2] => [3,4,1,2,5,6] => 00011 => [4,1,1]
[3,3,2,1,2,2] => [4,3,1,2,5,6] => 00011 => [4,1,1]
[3,3,2,2,1,2] => [5,3,1,2,4,6] => 00001 => [5,1]
[3,3,2,2,2,1] => [6,3,1,2,4,5] => 00000 => [6]
[1,2,2,2,3,4] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,2,2,4,3] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,2,3,2,4] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,2,3,4,2] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,2,4,2,3] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,2,4,3,2] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,3,2,2,4] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,3,2,4,2] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,3,4,2,2] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,4,2,2,3] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,2,4,2,3,2] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,2,4,3,2,2] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,3,2,2,2,4] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,2,2,4,2] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,2,4,2,2] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,4,2,2,2] => [1,4,2,3,5,6] => 10011 => [1,3,1,1]
[1,4,2,2,2,3] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,2,2,3,2] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,2,3,2,2] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,3,2,2,2] => [1,4,3,2,5,6] => 10011 => [1,3,1,1]
[2,1,2,2,3,4] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,2,2,4,3] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,2,3,2,4] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,2,3,4,2] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,2,4,2,3] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,2,4,3,2] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,3,2,2,4] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,3,2,4,2] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,3,4,2,2] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,4,2,2,3] => [2,1,4,3,5,6] => 01011 => [2,2,1,1]
[2,1,4,2,3,2] => [2,1,4,3,5,6] => 01011 => [2,2,1,1]
[2,1,4,3,2,2] => [2,1,4,3,5,6] => 01011 => [2,2,1,1]
[2,2,1,2,3,4] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,2,1,2,4,3] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,2,1,3,2,4] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,2,1,3,4,2] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,2,1,4,2,3] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,2,1,4,3,2] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,2,2,1,3,4] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,2,2,1,4,3] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,2,2,3,1,4] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,2,2,3,4,1] => [6,1,2,3,4,5] => 00000 => [6]
[2,2,2,4,1,3] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,2,2,4,3,1] => [6,1,2,3,4,5] => 00000 => [6]
[2,2,3,1,2,4] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,2,3,1,4,2] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,2,3,2,1,4] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,2,3,2,4,1] => [6,1,2,3,4,5] => 00000 => [6]
[2,2,3,4,1,2] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,2,3,4,2,1] => [6,1,2,3,4,5] => 00000 => [6]
[2,2,4,1,2,3] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,2,4,1,3,2] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,2,4,2,1,3] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,2,4,2,3,1] => [6,1,2,3,4,5] => 00000 => [6]
[2,2,4,3,1,2] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,2,4,3,2,1] => [6,1,2,3,4,5] => 00000 => [6]
[2,3,1,2,2,4] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,3,1,2,4,2] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,3,1,4,2,2] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,3,2,1,2,4] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,3,2,1,4,2] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,3,2,2,1,4] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,3,2,2,4,1] => [6,1,2,3,4,5] => 00000 => [6]
[2,3,2,4,1,2] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,3,2,4,2,1] => [6,1,2,3,4,5] => 00000 => [6]
[2,3,4,1,2,2] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,3,4,2,1,2] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,3,4,2,2,1] => [6,1,2,3,4,5] => 00000 => [6]
[2,4,1,2,2,3] => [3,1,4,2,5,6] => 00011 => [4,1,1]
[2,4,1,2,3,2] => [3,1,4,2,5,6] => 00011 => [4,1,1]
[2,4,1,3,2,2] => [3,1,4,2,5,6] => 00011 => [4,1,1]
[2,4,2,1,2,3] => [4,1,3,2,5,6] => 00011 => [4,1,1]
[2,4,2,1,3,2] => [4,1,3,2,5,6] => 00011 => [4,1,1]
[2,4,2,2,1,3] => [5,1,3,2,4,6] => 00001 => [5,1]
[2,4,2,2,3,1] => [6,1,3,2,4,5] => 00000 => [6]
[2,4,2,3,1,2] => [5,1,3,2,4,6] => 00001 => [5,1]
[2,4,2,3,2,1] => [6,1,3,2,4,5] => 00000 => [6]
[2,4,3,1,2,2] => [4,1,3,2,5,6] => 00011 => [4,1,1]
[2,4,3,2,1,2] => [5,1,3,2,4,6] => 00001 => [5,1]
[2,4,3,2,2,1] => [6,1,3,2,4,5] => 00000 => [6]
[3,1,2,2,2,4] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,2,2,4,2] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,2,4,2,2] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,4,2,2,2] => [2,4,1,3,5,6] => 00011 => [4,1,1]
[3,2,1,2,2,4] => [3,2,1,4,5,6] => 00111 => [3,1,1,1]
[3,2,1,2,4,2] => [3,2,1,4,5,6] => 00111 => [3,1,1,1]
[3,2,1,4,2,2] => [3,2,1,4,5,6] => 00111 => [3,1,1,1]
[3,2,2,1,2,4] => [4,2,1,3,5,6] => 00011 => [4,1,1]
[3,2,2,1,4,2] => [4,2,1,3,5,6] => 00011 => [4,1,1]
[3,2,2,2,1,4] => [5,2,1,3,4,6] => 00001 => [5,1]
[3,2,2,2,4,1] => [6,2,1,3,4,5] => 00000 => [6]
[3,2,2,4,1,2] => [5,2,1,3,4,6] => 00001 => [5,1]
[3,2,2,4,2,1] => [6,2,1,3,4,5] => 00000 => [6]
[3,2,4,1,2,2] => [4,2,1,3,5,6] => 00011 => [4,1,1]
[3,2,4,2,1,2] => [5,2,1,3,4,6] => 00001 => [5,1]
[3,2,4,2,2,1] => [6,2,1,3,4,5] => 00000 => [6]
[3,4,1,2,2,2] => [3,4,1,2,5,6] => 00011 => [4,1,1]
[3,4,2,1,2,2] => [4,3,1,2,5,6] => 00011 => [4,1,1]
[3,4,2,2,1,2] => [5,3,1,2,4,6] => 00001 => [5,1]
[3,4,2,2,2,1] => [6,3,1,2,4,5] => 00000 => [6]
[4,1,2,2,2,3] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,2,2,3,2] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,2,3,2,2] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,3,2,2,2] => [2,4,3,1,5,6] => 00011 => [4,1,1]
[4,2,1,2,2,3] => [3,2,4,1,5,6] => 00011 => [4,1,1]
[4,2,1,2,3,2] => [3,2,4,1,5,6] => 00011 => [4,1,1]
[4,2,1,3,2,2] => [3,2,4,1,5,6] => 00011 => [4,1,1]
[4,2,2,1,2,3] => [4,2,3,1,5,6] => 00011 => [4,1,1]
[4,2,2,1,3,2] => [4,2,3,1,5,6] => 00011 => [4,1,1]
[4,2,2,2,1,3] => [5,2,3,1,4,6] => 00001 => [5,1]
[4,2,2,2,3,1] => [6,2,3,1,4,5] => 00000 => [6]
[4,2,2,3,1,2] => [5,2,3,1,4,6] => 00001 => [5,1]
[4,2,2,3,2,1] => [6,2,3,1,4,5] => 00000 => [6]
[4,2,3,1,2,2] => [4,2,3,1,5,6] => 00011 => [4,1,1]
[4,2,3,2,1,2] => [5,2,3,1,4,6] => 00001 => [5,1]
[4,2,3,2,2,1] => [6,2,3,1,4,5] => 00000 => [6]
[4,3,1,2,2,2] => [3,4,2,1,5,6] => 00011 => [4,1,1]
[4,3,2,1,2,2] => [4,3,2,1,5,6] => 00011 => [4,1,1]
[4,3,2,2,1,2] => [5,3,2,1,4,6] => 00001 => [5,1]
[4,3,2,2,2,1] => [6,3,2,1,4,5] => 00000 => [6]
[1,2,2,2,3,5] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,2,2,5,3] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,2,3,2,5] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,2,3,5,2] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,2,5,2,3] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,2,2,5,3,2] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,2,3,2,2,5] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,3,2,5,2] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,3,5,2,2] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,2,5,2,2,3] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,2,5,2,3,2] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,2,5,3,2,2] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,3,2,2,2,5] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,2,2,5,2] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,2,5,2,2] => [1,3,2,5,4,6] => 10101 => [1,2,2,1]
[1,3,5,2,2,2] => [1,4,2,5,3,6] => 10001 => [1,4,1]
[1,5,2,2,2,3] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,2,2,3,2] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,2,3,2,2] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,3,2,2,2] => [1,4,3,5,2,6] => 10001 => [1,4,1]
[2,1,2,2,3,5] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,2,2,5,3] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,2,3,2,5] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,2,3,5,2] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,2,5,2,3] => [2,1,3,5,4,6] => 01101 => [2,1,2,1]
[2,1,2,5,3,2] => [2,1,3,5,4,6] => 01101 => [2,1,2,1]
[2,1,3,2,2,5] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,3,2,5,2] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,3,5,2,2] => [2,1,3,5,4,6] => 01101 => [2,1,2,1]
[2,1,5,2,2,3] => [2,1,4,5,3,6] => 01001 => [2,3,1]
[2,1,5,2,3,2] => [2,1,4,5,3,6] => 01001 => [2,3,1]
[2,1,5,3,2,2] => [2,1,4,5,3,6] => 01001 => [2,3,1]
[2,2,1,2,3,5] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,2,1,2,5,3] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,2,1,3,2,5] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,2,1,3,5,2] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,2,1,5,2,3] => [3,1,2,5,4,6] => 00101 => [3,2,1]
[2,2,1,5,3,2] => [3,1,2,5,4,6] => 00101 => [3,2,1]
[2,2,2,1,3,5] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,2,2,1,5,3] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,2,2,3,1,5] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,2,2,3,5,1] => [6,1,2,3,4,5] => 00000 => [6]
[2,2,2,5,1,3] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,2,2,5,3,1] => [6,1,2,3,4,5] => 00000 => [6]
[2,2,3,1,2,5] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,2,3,1,5,2] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,2,3,2,1,5] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,2,3,2,5,1] => [6,1,2,3,4,5] => 00000 => [6]
[2,2,3,5,1,2] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,2,3,5,2,1] => [6,1,2,3,4,5] => 00000 => [6]
[2,2,5,1,2,3] => [4,1,2,5,3,6] => 00001 => [5,1]
[2,2,5,1,3,2] => [4,1,2,5,3,6] => 00001 => [5,1]
[2,2,5,2,1,3] => [5,1,2,4,3,6] => 00001 => [5,1]
[2,2,5,2,3,1] => [6,1,2,4,3,5] => 00000 => [6]
[2,2,5,3,1,2] => [5,1,2,4,3,6] => 00001 => [5,1]
[2,2,5,3,2,1] => [6,1,2,4,3,5] => 00000 => [6]
[2,3,1,2,2,5] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,3,1,2,5,2] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,3,1,5,2,2] => [3,1,2,5,4,6] => 00101 => [3,2,1]
[2,3,2,1,2,5] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,3,2,1,5,2] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,3,2,2,1,5] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,3,2,2,5,1] => [6,1,2,3,4,5] => 00000 => [6]
[2,3,2,5,1,2] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,3,2,5,2,1] => [6,1,2,3,4,5] => 00000 => [6]
[2,3,5,1,2,2] => [4,1,2,5,3,6] => 00001 => [5,1]
[2,3,5,2,1,2] => [5,1,2,4,3,6] => 00001 => [5,1]
[2,3,5,2,2,1] => [6,1,2,4,3,5] => 00000 => [6]
[2,5,1,2,2,3] => [3,1,4,5,2,6] => 00001 => [5,1]
[2,5,1,2,3,2] => [3,1,4,5,2,6] => 00001 => [5,1]
[2,5,1,3,2,2] => [3,1,4,5,2,6] => 00001 => [5,1]
[2,5,2,1,2,3] => [4,1,3,5,2,6] => 00001 => [5,1]
[2,5,2,1,3,2] => [4,1,3,5,2,6] => 00001 => [5,1]
[2,5,2,2,1,3] => [5,1,3,4,2,6] => 00001 => [5,1]
[2,5,2,2,3,1] => [6,1,3,4,2,5] => 00000 => [6]
[2,5,2,3,1,2] => [5,1,3,4,2,6] => 00001 => [5,1]
[2,5,2,3,2,1] => [6,1,3,4,2,5] => 00000 => [6]
[2,5,3,1,2,2] => [4,1,3,5,2,6] => 00001 => [5,1]
[2,5,3,2,1,2] => [5,1,3,4,2,6] => 00001 => [5,1]
[2,5,3,2,2,1] => [6,1,3,4,2,5] => 00000 => [6]
[3,1,2,2,2,5] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,2,2,5,2] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,2,5,2,2] => [2,3,1,5,4,6] => 00101 => [3,2,1]
[3,1,5,2,2,2] => [2,4,1,5,3,6] => 00001 => [5,1]
[3,2,1,2,2,5] => [3,2,1,4,5,6] => 00111 => [3,1,1,1]
[3,2,1,2,5,2] => [3,2,1,4,5,6] => 00111 => [3,1,1,1]
[3,2,1,5,2,2] => [3,2,1,5,4,6] => 00101 => [3,2,1]
[3,2,2,1,2,5] => [4,2,1,3,5,6] => 00011 => [4,1,1]
[3,2,2,1,5,2] => [4,2,1,3,5,6] => 00011 => [4,1,1]
[3,2,2,2,1,5] => [5,2,1,3,4,6] => 00001 => [5,1]
[3,2,2,2,5,1] => [6,2,1,3,4,5] => 00000 => [6]
[3,2,2,5,1,2] => [5,2,1,3,4,6] => 00001 => [5,1]
[3,2,2,5,2,1] => [6,2,1,3,4,5] => 00000 => [6]
[3,2,5,1,2,2] => [4,2,1,5,3,6] => 00001 => [5,1]
[3,2,5,2,1,2] => [5,2,1,4,3,6] => 00001 => [5,1]
[3,2,5,2,2,1] => [6,2,1,4,3,5] => 00000 => [6]
[3,5,1,2,2,2] => [3,4,1,5,2,6] => 00001 => [5,1]
[3,5,2,1,2,2] => [4,3,1,5,2,6] => 00001 => [5,1]
[3,5,2,2,1,2] => [5,3,1,4,2,6] => 00001 => [5,1]
[3,5,2,2,2,1] => [6,3,1,4,2,5] => 00000 => [6]
[5,1,2,2,2,3] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,2,2,3,2] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,2,3,2,2] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,3,2,2,2] => [2,4,3,5,1,6] => 00001 => [5,1]
[5,2,1,2,2,3] => [3,2,4,5,1,6] => 00001 => [5,1]
[5,2,1,2,3,2] => [3,2,4,5,1,6] => 00001 => [5,1]
[5,2,1,3,2,2] => [3,2,4,5,1,6] => 00001 => [5,1]
[5,2,2,1,2,3] => [4,2,3,5,1,6] => 00001 => [5,1]
[5,2,2,1,3,2] => [4,2,3,5,1,6] => 00001 => [5,1]
[5,2,2,2,1,3] => [5,2,3,4,1,6] => 00001 => [5,1]
[5,2,2,2,3,1] => [6,2,3,4,1,5] => 00000 => [6]
[5,2,2,3,1,2] => [5,2,3,4,1,6] => 00001 => [5,1]
[5,2,2,3,2,1] => [6,2,3,4,1,5] => 00000 => [6]
[5,2,3,1,2,2] => [4,2,3,5,1,6] => 00001 => [5,1]
[5,2,3,2,1,2] => [5,2,3,4,1,6] => 00001 => [5,1]
[5,2,3,2,2,1] => [6,2,3,4,1,5] => 00000 => [6]
[5,3,1,2,2,2] => [3,4,2,5,1,6] => 00001 => [5,1]
[5,3,2,1,2,2] => [4,3,2,5,1,6] => 00001 => [5,1]
[5,3,2,2,1,2] => [5,3,2,4,1,6] => 00001 => [5,1]
[5,3,2,2,2,1] => [6,3,2,4,1,5] => 00000 => [6]
[1,2,2,2,3,6] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,2,2,6,3] => [1,2,3,4,6,5] => 11110 => [1,1,1,1,2]
[1,2,2,3,2,6] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,2,3,6,2] => [1,2,3,4,6,5] => 11110 => [1,1,1,1,2]
[1,2,2,6,2,3] => [1,2,3,5,6,4] => 11100 => [1,1,1,3]
[1,2,2,6,3,2] => [1,2,3,5,6,4] => 11100 => [1,1,1,3]
[1,2,3,2,2,6] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,3,2,6,2] => [1,2,3,4,6,5] => 11110 => [1,1,1,1,2]
[1,2,3,6,2,2] => [1,2,3,5,6,4] => 11100 => [1,1,1,3]
[1,2,6,2,2,3] => [1,2,4,5,6,3] => 11000 => [1,1,4]
[1,2,6,2,3,2] => [1,2,4,5,6,3] => 11000 => [1,1,4]
[1,2,6,3,2,2] => [1,2,4,5,6,3] => 11000 => [1,1,4]
[1,3,2,2,2,6] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,2,2,6,2] => [1,3,2,4,6,5] => 10110 => [1,2,1,2]
[1,3,2,6,2,2] => [1,3,2,5,6,4] => 10100 => [1,2,3]
[1,3,6,2,2,2] => [1,4,2,5,6,3] => 10000 => [1,5]
[1,6,2,2,2,3] => [1,3,4,5,6,2] => 10000 => [1,5]
[1,6,2,2,3,2] => [1,3,4,5,6,2] => 10000 => [1,5]
[1,6,2,3,2,2] => [1,3,4,5,6,2] => 10000 => [1,5]
[1,6,3,2,2,2] => [1,4,3,5,6,2] => 10000 => [1,5]
[2,1,2,2,3,6] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,2,2,6,3] => [2,1,3,4,6,5] => 01110 => [2,1,1,2]
[2,1,2,3,2,6] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,2,3,6,2] => [2,1,3,4,6,5] => 01110 => [2,1,1,2]
[2,1,2,6,2,3] => [2,1,3,5,6,4] => 01100 => [2,1,3]
[2,1,2,6,3,2] => [2,1,3,5,6,4] => 01100 => [2,1,3]
[2,1,3,2,2,6] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,3,2,6,2] => [2,1,3,4,6,5] => 01110 => [2,1,1,2]
[2,1,3,6,2,2] => [2,1,3,5,6,4] => 01100 => [2,1,3]
[2,1,6,2,2,3] => [2,1,4,5,6,3] => 01000 => [2,4]
[2,1,6,2,3,2] => [2,1,4,5,6,3] => 01000 => [2,4]
[2,1,6,3,2,2] => [2,1,4,5,6,3] => 01000 => [2,4]
[2,2,1,2,3,6] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,2,1,2,6,3] => [3,1,2,4,6,5] => 00110 => [3,1,2]
[2,2,1,3,2,6] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,2,1,3,6,2] => [3,1,2,4,6,5] => 00110 => [3,1,2]
[2,2,1,6,2,3] => [3,1,2,5,6,4] => 00100 => [3,3]
[2,2,1,6,3,2] => [3,1,2,5,6,4] => 00100 => [3,3]
[2,2,2,1,3,6] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,2,2,1,6,3] => [4,1,2,3,6,5] => 00010 => [4,2]
[2,2,2,3,1,6] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,2,2,3,6,1] => [6,1,2,3,4,5] => 00000 => [6]
[2,2,2,6,1,3] => [5,1,2,3,6,4] => 00000 => [6]
[2,2,2,6,3,1] => [6,1,2,3,5,4] => 00000 => [6]
[2,2,3,1,2,6] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,2,3,1,6,2] => [4,1,2,3,6,5] => 00010 => [4,2]
[2,2,3,2,1,6] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,2,3,2,6,1] => [6,1,2,3,4,5] => 00000 => [6]
[2,2,3,6,1,2] => [5,1,2,3,6,4] => 00000 => [6]
[2,2,3,6,2,1] => [6,1,2,3,5,4] => 00000 => [6]
[2,2,6,1,2,3] => [4,1,2,5,6,3] => 00000 => [6]
[2,2,6,1,3,2] => [4,1,2,5,6,3] => 00000 => [6]
[2,2,6,2,1,3] => [5,1,2,4,6,3] => 00000 => [6]
[2,2,6,2,3,1] => [6,1,2,4,5,3] => 00000 => [6]
[2,2,6,3,1,2] => [5,1,2,4,6,3] => 00000 => [6]
[2,2,6,3,2,1] => [6,1,2,4,5,3] => 00000 => [6]
[2,3,1,2,2,6] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,3,1,2,6,2] => [3,1,2,4,6,5] => 00110 => [3,1,2]
[2,3,1,6,2,2] => [3,1,2,5,6,4] => 00100 => [3,3]
[2,3,2,1,2,6] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,3,2,1,6,2] => [4,1,2,3,6,5] => 00010 => [4,2]
[2,3,2,2,1,6] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,3,2,2,6,1] => [6,1,2,3,4,5] => 00000 => [6]
[2,3,2,6,1,2] => [5,1,2,3,6,4] => 00000 => [6]
[2,3,2,6,2,1] => [6,1,2,3,5,4] => 00000 => [6]
[2,3,6,1,2,2] => [4,1,2,5,6,3] => 00000 => [6]
[2,3,6,2,1,2] => [5,1,2,4,6,3] => 00000 => [6]
[2,3,6,2,2,1] => [6,1,2,4,5,3] => 00000 => [6]
[2,6,1,2,2,3] => [3,1,4,5,6,2] => 00000 => [6]
[2,6,1,2,3,2] => [3,1,4,5,6,2] => 00000 => [6]
[2,6,1,3,2,2] => [3,1,4,5,6,2] => 00000 => [6]
[2,6,2,1,2,3] => [4,1,3,5,6,2] => 00000 => [6]
[2,6,2,1,3,2] => [4,1,3,5,6,2] => 00000 => [6]
[2,6,2,2,1,3] => [5,1,3,4,6,2] => 00000 => [6]
[2,6,2,2,3,1] => [6,1,3,4,5,2] => 00000 => [6]
[2,6,2,3,1,2] => [5,1,3,4,6,2] => 00000 => [6]
[2,6,2,3,2,1] => [6,1,3,4,5,2] => 00000 => [6]
[2,6,3,1,2,2] => [4,1,3,5,6,2] => 00000 => [6]
[2,6,3,2,1,2] => [5,1,3,4,6,2] => 00000 => [6]
[2,6,3,2,2,1] => [6,1,3,4,5,2] => 00000 => [6]
[3,1,2,2,2,6] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,2,2,6,2] => [2,3,1,4,6,5] => 00110 => [3,1,2]
[3,1,2,6,2,2] => [2,3,1,5,6,4] => 00100 => [3,3]
[3,1,6,2,2,2] => [2,4,1,5,6,3] => 00000 => [6]
[3,2,1,2,2,6] => [3,2,1,4,5,6] => 00111 => [3,1,1,1]
[3,2,1,2,6,2] => [3,2,1,4,6,5] => 00110 => [3,1,2]
[3,2,1,6,2,2] => [3,2,1,5,6,4] => 00100 => [3,3]
[3,2,2,1,2,6] => [4,2,1,3,5,6] => 00011 => [4,1,1]
[3,2,2,1,6,2] => [4,2,1,3,6,5] => 00010 => [4,2]
[3,2,2,2,1,6] => [5,2,1,3,4,6] => 00001 => [5,1]
[3,2,2,2,6,1] => [6,2,1,3,4,5] => 00000 => [6]
[3,2,2,6,1,2] => [5,2,1,3,6,4] => 00000 => [6]
[3,2,2,6,2,1] => [6,2,1,3,5,4] => 00000 => [6]
[3,2,6,1,2,2] => [4,2,1,5,6,3] => 00000 => [6]
[3,2,6,2,1,2] => [5,2,1,4,6,3] => 00000 => [6]
[3,2,6,2,2,1] => [6,2,1,4,5,3] => 00000 => [6]
[3,6,1,2,2,2] => [3,4,1,5,6,2] => 00000 => [6]
[3,6,2,1,2,2] => [4,3,1,5,6,2] => 00000 => [6]
[3,6,2,2,1,2] => [5,3,1,4,6,2] => 00000 => [6]
[3,6,2,2,2,1] => [6,3,1,4,5,2] => 00000 => [6]
[6,1,2,2,2,3] => [2,3,4,5,6,1] => 00000 => [6]
[6,1,2,2,3,2] => [2,3,4,5,6,1] => 00000 => [6]
[6,1,2,3,2,2] => [2,3,4,5,6,1] => 00000 => [6]
[6,1,3,2,2,2] => [2,4,3,5,6,1] => 00000 => [6]
[6,2,1,2,2,3] => [3,2,4,5,6,1] => 00000 => [6]
[6,2,1,2,3,2] => [3,2,4,5,6,1] => 00000 => [6]
[6,2,1,3,2,2] => [3,2,4,5,6,1] => 00000 => [6]
[6,2,2,1,2,3] => [4,2,3,5,6,1] => 00000 => [6]
[6,2,2,1,3,2] => [4,2,3,5,6,1] => 00000 => [6]
[6,2,2,2,1,3] => [5,2,3,4,6,1] => 00000 => [6]
[6,2,2,2,3,1] => [6,2,3,4,5,1] => 00000 => [6]
[6,2,2,3,1,2] => [5,2,3,4,6,1] => 00000 => [6]
[6,2,2,3,2,1] => [6,2,3,4,5,1] => 00000 => [6]
[6,2,3,1,2,2] => [4,2,3,5,6,1] => 00000 => [6]
[6,2,3,2,1,2] => [5,2,3,4,6,1] => 00000 => [6]
[6,2,3,2,2,1] => [6,2,3,4,5,1] => 00000 => [6]
[6,3,1,2,2,2] => [3,4,2,5,6,1] => 00000 => [6]
[6,3,2,1,2,2] => [4,3,2,5,6,1] => 00000 => [6]
[6,3,2,2,1,2] => [5,3,2,4,6,1] => 00000 => [6]
[6,3,2,2,2,1] => [6,3,2,4,5,1] => 00000 => [6]
[1,2,2,2,4,4] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,2,4,2,4] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,2,4,4,2] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,4,2,2,4] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,2,4,2,4,2] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,2,4,4,2,2] => [1,2,5,3,4,6] => 11001 => [1,1,3,1]
[1,4,2,2,2,4] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,2,2,4,2] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,2,4,2,2] => [1,3,5,2,4,6] => 10001 => [1,4,1]
[1,4,4,2,2,2] => [1,4,5,2,3,6] => 10001 => [1,4,1]
[2,1,2,2,4,4] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,2,4,2,4] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,2,4,4,2] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,4,2,2,4] => [2,1,4,3,5,6] => 01011 => [2,2,1,1]
[2,1,4,2,4,2] => [2,1,4,3,5,6] => 01011 => [2,2,1,1]
[2,1,4,4,2,2] => [2,1,5,3,4,6] => 01001 => [2,3,1]
[2,2,1,2,4,4] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,2,1,4,2,4] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,2,1,4,4,2] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,2,2,1,4,4] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,2,2,4,1,4] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,2,2,4,4,1] => [6,1,2,3,4,5] => 00000 => [6]
[2,2,4,1,2,4] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,2,4,1,4,2] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,2,4,2,1,4] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,2,4,2,4,1] => [6,1,2,3,4,5] => 00000 => [6]
[2,2,4,4,1,2] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,2,4,4,2,1] => [6,1,2,3,4,5] => 00000 => [6]
[2,4,1,2,2,4] => [3,1,4,2,5,6] => 00011 => [4,1,1]
[2,4,1,2,4,2] => [3,1,4,2,5,6] => 00011 => [4,1,1]
[2,4,1,4,2,2] => [3,1,5,2,4,6] => 00001 => [5,1]
[2,4,2,1,2,4] => [4,1,3,2,5,6] => 00011 => [4,1,1]
[2,4,2,1,4,2] => [4,1,3,2,5,6] => 00011 => [4,1,1]
[2,4,2,2,1,4] => [5,1,3,2,4,6] => 00001 => [5,1]
[2,4,2,2,4,1] => [6,1,3,2,4,5] => 00000 => [6]
[2,4,2,4,1,2] => [5,1,3,2,4,6] => 00001 => [5,1]
[2,4,2,4,2,1] => [6,1,3,2,4,5] => 00000 => [6]
[2,4,4,1,2,2] => [4,1,5,2,3,6] => 00001 => [5,1]
[2,4,4,2,1,2] => [5,1,4,2,3,6] => 00001 => [5,1]
[2,4,4,2,2,1] => [6,1,4,2,3,5] => 00000 => [6]
[4,1,2,2,2,4] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,2,2,4,2] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,2,4,2,2] => [2,3,5,1,4,6] => 00001 => [5,1]
[4,1,4,2,2,2] => [2,4,5,1,3,6] => 00001 => [5,1]
[4,2,1,2,2,4] => [3,2,4,1,5,6] => 00011 => [4,1,1]
[4,2,1,2,4,2] => [3,2,4,1,5,6] => 00011 => [4,1,1]
[4,2,1,4,2,2] => [3,2,5,1,4,6] => 00001 => [5,1]
[4,2,2,1,2,4] => [4,2,3,1,5,6] => 00011 => [4,1,1]
[4,2,2,1,4,2] => [4,2,3,1,5,6] => 00011 => [4,1,1]
[4,2,2,2,1,4] => [5,2,3,1,4,6] => 00001 => [5,1]
[4,2,2,2,4,1] => [6,2,3,1,4,5] => 00000 => [6]
[4,2,2,4,1,2] => [5,2,3,1,4,6] => 00001 => [5,1]
[4,2,2,4,2,1] => [6,2,3,1,4,5] => 00000 => [6]
[4,2,4,1,2,2] => [4,2,5,1,3,6] => 00001 => [5,1]
[4,2,4,2,1,2] => [5,2,4,1,3,6] => 00001 => [5,1]
[4,2,4,2,2,1] => [6,2,4,1,3,5] => 00000 => [6]
[4,4,1,2,2,2] => [3,4,5,1,2,6] => 00001 => [5,1]
[4,4,2,1,2,2] => [4,3,5,1,2,6] => 00001 => [5,1]
[4,4,2,2,1,2] => [5,3,4,1,2,6] => 00001 => [5,1]
[4,4,2,2,2,1] => [6,3,4,1,2,5] => 00000 => [6]
[1,2,2,2,4,5] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,2,2,5,4] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,2,4,2,5] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,2,4,5,2] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,2,5,2,4] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,2,2,5,4,2] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,2,4,2,2,5] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,2,4,2,5,2] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,2,4,5,2,2] => [1,2,5,3,4,6] => 11001 => [1,1,3,1]
[1,2,5,2,2,4] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,2,5,2,4,2] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,2,5,4,2,2] => [1,2,5,4,3,6] => 11001 => [1,1,3,1]
[1,4,2,2,2,5] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,2,2,5,2] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,2,5,2,2] => [1,3,5,2,4,6] => 10001 => [1,4,1]
[1,4,5,2,2,2] => [1,4,5,2,3,6] => 10001 => [1,4,1]
[1,5,2,2,2,4] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,2,2,4,2] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,2,4,2,2] => [1,3,5,4,2,6] => 10001 => [1,4,1]
[1,5,4,2,2,2] => [1,4,5,3,2,6] => 10001 => [1,4,1]
[2,1,2,2,4,5] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,2,2,5,4] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,2,4,2,5] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,2,4,5,2] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,2,5,2,4] => [2,1,3,5,4,6] => 01101 => [2,1,2,1]
[2,1,2,5,4,2] => [2,1,3,5,4,6] => 01101 => [2,1,2,1]
[2,1,4,2,2,5] => [2,1,4,3,5,6] => 01011 => [2,2,1,1]
[2,1,4,2,5,2] => [2,1,4,3,5,6] => 01011 => [2,2,1,1]
[2,1,4,5,2,2] => [2,1,5,3,4,6] => 01001 => [2,3,1]
[2,1,5,2,2,4] => [2,1,4,5,3,6] => 01001 => [2,3,1]
[2,1,5,2,4,2] => [2,1,4,5,3,6] => 01001 => [2,3,1]
[2,1,5,4,2,2] => [2,1,5,4,3,6] => 01001 => [2,3,1]
[2,2,1,2,4,5] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,2,1,2,5,4] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,2,1,4,2,5] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,2,1,4,5,2] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,2,1,5,2,4] => [3,1,2,5,4,6] => 00101 => [3,2,1]
[2,2,1,5,4,2] => [3,1,2,5,4,6] => 00101 => [3,2,1]
[2,2,2,1,4,5] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,2,2,1,5,4] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,2,2,4,1,5] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,2,2,4,5,1] => [6,1,2,3,4,5] => 00000 => [6]
[2,2,2,5,1,4] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,2,2,5,4,1] => [6,1,2,3,4,5] => 00000 => [6]
[2,2,4,1,2,5] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,2,4,1,5,2] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,2,4,2,1,5] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,2,4,2,5,1] => [6,1,2,3,4,5] => 00000 => [6]
[2,2,4,5,1,2] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,2,4,5,2,1] => [6,1,2,3,4,5] => 00000 => [6]
[2,2,5,1,2,4] => [4,1,2,5,3,6] => 00001 => [5,1]
[2,2,5,1,4,2] => [4,1,2,5,3,6] => 00001 => [5,1]
[2,2,5,2,1,4] => [5,1,2,4,3,6] => 00001 => [5,1]
[2,2,5,2,4,1] => [6,1,2,4,3,5] => 00000 => [6]
[2,2,5,4,1,2] => [5,1,2,4,3,6] => 00001 => [5,1]
[2,2,5,4,2,1] => [6,1,2,4,3,5] => 00000 => [6]
[2,4,1,2,2,5] => [3,1,4,2,5,6] => 00011 => [4,1,1]
[2,4,1,2,5,2] => [3,1,4,2,5,6] => 00011 => [4,1,1]
[2,4,1,5,2,2] => [3,1,5,2,4,6] => 00001 => [5,1]
[2,4,2,1,2,5] => [4,1,3,2,5,6] => 00011 => [4,1,1]
[2,4,2,1,5,2] => [4,1,3,2,5,6] => 00011 => [4,1,1]
[2,4,2,2,1,5] => [5,1,3,2,4,6] => 00001 => [5,1]
[2,4,2,2,5,1] => [6,1,3,2,4,5] => 00000 => [6]
[2,4,2,5,1,2] => [5,1,3,2,4,6] => 00001 => [5,1]
[2,4,2,5,2,1] => [6,1,3,2,4,5] => 00000 => [6]
[2,4,5,1,2,2] => [4,1,5,2,3,6] => 00001 => [5,1]
[2,4,5,2,1,2] => [5,1,4,2,3,6] => 00001 => [5,1]
[2,4,5,2,2,1] => [6,1,4,2,3,5] => 00000 => [6]
[2,5,1,2,2,4] => [3,1,4,5,2,6] => 00001 => [5,1]
[2,5,1,2,4,2] => [3,1,4,5,2,6] => 00001 => [5,1]
[2,5,1,4,2,2] => [3,1,5,4,2,6] => 00001 => [5,1]
[2,5,2,1,2,4] => [4,1,3,5,2,6] => 00001 => [5,1]
[2,5,2,1,4,2] => [4,1,3,5,2,6] => 00001 => [5,1]
[2,5,2,2,1,4] => [5,1,3,4,2,6] => 00001 => [5,1]
[2,5,2,2,4,1] => [6,1,3,4,2,5] => 00000 => [6]
[2,5,2,4,1,2] => [5,1,3,4,2,6] => 00001 => [5,1]
[2,5,2,4,2,1] => [6,1,3,4,2,5] => 00000 => [6]
[2,5,4,1,2,2] => [4,1,5,3,2,6] => 00001 => [5,1]
[2,5,4,2,1,2] => [5,1,4,3,2,6] => 00001 => [5,1]
[2,5,4,2,2,1] => [6,1,4,3,2,5] => 00000 => [6]
[4,1,2,2,2,5] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,2,2,5,2] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,2,5,2,2] => [2,3,5,1,4,6] => 00001 => [5,1]
[4,1,5,2,2,2] => [2,4,5,1,3,6] => 00001 => [5,1]
[4,2,1,2,2,5] => [3,2,4,1,5,6] => 00011 => [4,1,1]
[4,2,1,2,5,2] => [3,2,4,1,5,6] => 00011 => [4,1,1]
[4,2,1,5,2,2] => [3,2,5,1,4,6] => 00001 => [5,1]
[4,2,2,1,2,5] => [4,2,3,1,5,6] => 00011 => [4,1,1]
[4,2,2,1,5,2] => [4,2,3,1,5,6] => 00011 => [4,1,1]
[4,2,2,2,1,5] => [5,2,3,1,4,6] => 00001 => [5,1]
[4,2,2,2,5,1] => [6,2,3,1,4,5] => 00000 => [6]
[4,2,2,5,1,2] => [5,2,3,1,4,6] => 00001 => [5,1]
[4,2,2,5,2,1] => [6,2,3,1,4,5] => 00000 => [6]
[4,2,5,1,2,2] => [4,2,5,1,3,6] => 00001 => [5,1]
[4,2,5,2,1,2] => [5,2,4,1,3,6] => 00001 => [5,1]
[4,2,5,2,2,1] => [6,2,4,1,3,5] => 00000 => [6]
[4,5,1,2,2,2] => [3,4,5,1,2,6] => 00001 => [5,1]
[4,5,2,1,2,2] => [4,3,5,1,2,6] => 00001 => [5,1]
[4,5,2,2,1,2] => [5,3,4,1,2,6] => 00001 => [5,1]
[4,5,2,2,2,1] => [6,3,4,1,2,5] => 00000 => [6]
[5,1,2,2,2,4] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,2,2,4,2] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,2,4,2,2] => [2,3,5,4,1,6] => 00001 => [5,1]
[5,1,4,2,2,2] => [2,4,5,3,1,6] => 00001 => [5,1]
[5,2,1,2,2,4] => [3,2,4,5,1,6] => 00001 => [5,1]
[5,2,1,2,4,2] => [3,2,4,5,1,6] => 00001 => [5,1]
[5,2,1,4,2,2] => [3,2,5,4,1,6] => 00001 => [5,1]
[5,2,2,1,2,4] => [4,2,3,5,1,6] => 00001 => [5,1]
[5,2,2,1,4,2] => [4,2,3,5,1,6] => 00001 => [5,1]
[5,2,2,2,1,4] => [5,2,3,4,1,6] => 00001 => [5,1]
[5,2,2,2,4,1] => [6,2,3,4,1,5] => 00000 => [6]
[5,2,2,4,1,2] => [5,2,3,4,1,6] => 00001 => [5,1]
[5,2,2,4,2,1] => [6,2,3,4,1,5] => 00000 => [6]
[5,2,4,1,2,2] => [4,2,5,3,1,6] => 00001 => [5,1]
[5,2,4,2,1,2] => [5,2,4,3,1,6] => 00001 => [5,1]
[5,2,4,2,2,1] => [6,2,4,3,1,5] => 00000 => [6]
[5,4,1,2,2,2] => [3,4,5,2,1,6] => 00001 => [5,1]
[5,4,2,1,2,2] => [4,3,5,2,1,6] => 00001 => [5,1]
[5,4,2,2,1,2] => [5,3,4,2,1,6] => 00001 => [5,1]
[5,4,2,2,2,1] => [6,3,4,2,1,5] => 00000 => [6]
[1,2,2,2,4,6] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,2,2,6,4] => [1,2,3,4,6,5] => 11110 => [1,1,1,1,2]
[1,2,2,4,2,6] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,2,4,6,2] => [1,2,3,4,6,5] => 11110 => [1,1,1,1,2]
[1,2,2,6,2,4] => [1,2,3,5,6,4] => 11100 => [1,1,1,3]
[1,2,2,6,4,2] => [1,2,3,5,6,4] => 11100 => [1,1,1,3]
[1,2,4,2,2,6] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,2,4,2,6,2] => [1,2,4,3,6,5] => 11010 => [1,1,2,2]
[1,2,4,6,2,2] => [1,2,5,3,6,4] => 11000 => [1,1,4]
[1,2,6,2,2,4] => [1,2,4,5,6,3] => 11000 => [1,1,4]
[1,2,6,2,4,2] => [1,2,4,5,6,3] => 11000 => [1,1,4]
[1,2,6,4,2,2] => [1,2,5,4,6,3] => 11000 => [1,1,4]
[1,4,2,2,2,6] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,2,2,6,2] => [1,3,4,2,6,5] => 10010 => [1,3,2]
[1,4,2,6,2,2] => [1,3,5,2,6,4] => 10000 => [1,5]
[1,4,6,2,2,2] => [1,4,5,2,6,3] => 10000 => [1,5]
[1,6,2,2,2,4] => [1,3,4,5,6,2] => 10000 => [1,5]
[1,6,2,2,4,2] => [1,3,4,5,6,2] => 10000 => [1,5]
[1,6,2,4,2,2] => [1,3,5,4,6,2] => 10000 => [1,5]
[1,6,4,2,2,2] => [1,4,5,3,6,2] => 10000 => [1,5]
[2,1,2,2,4,6] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,2,2,6,4] => [2,1,3,4,6,5] => 01110 => [2,1,1,2]
[2,1,2,4,2,6] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,2,4,6,2] => [2,1,3,4,6,5] => 01110 => [2,1,1,2]
[2,1,2,6,2,4] => [2,1,3,5,6,4] => 01100 => [2,1,3]
[2,1,2,6,4,2] => [2,1,3,5,6,4] => 01100 => [2,1,3]
[2,1,4,2,2,6] => [2,1,4,3,5,6] => 01011 => [2,2,1,1]
[2,1,4,2,6,2] => [2,1,4,3,6,5] => 01010 => [2,2,2]
[2,1,4,6,2,2] => [2,1,5,3,6,4] => 01000 => [2,4]
[2,1,6,2,2,4] => [2,1,4,5,6,3] => 01000 => [2,4]
[2,1,6,2,4,2] => [2,1,4,5,6,3] => 01000 => [2,4]
[2,1,6,4,2,2] => [2,1,5,4,6,3] => 01000 => [2,4]
[2,2,1,2,4,6] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,2,1,2,6,4] => [3,1,2,4,6,5] => 00110 => [3,1,2]
[2,2,1,4,2,6] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,2,1,4,6,2] => [3,1,2,4,6,5] => 00110 => [3,1,2]
[2,2,1,6,2,4] => [3,1,2,5,6,4] => 00100 => [3,3]
[2,2,1,6,4,2] => [3,1,2,5,6,4] => 00100 => [3,3]
[2,2,2,1,4,6] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,2,2,1,6,4] => [4,1,2,3,6,5] => 00010 => [4,2]
[2,2,2,4,1,6] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,2,2,4,6,1] => [6,1,2,3,4,5] => 00000 => [6]
[2,2,2,6,1,4] => [5,1,2,3,6,4] => 00000 => [6]
[2,2,2,6,4,1] => [6,1,2,3,5,4] => 00000 => [6]
[2,2,4,1,2,6] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,2,4,1,6,2] => [4,1,2,3,6,5] => 00010 => [4,2]
[2,2,4,2,1,6] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,2,4,2,6,1] => [6,1,2,3,4,5] => 00000 => [6]
[2,2,4,6,1,2] => [5,1,2,3,6,4] => 00000 => [6]
[2,2,4,6,2,1] => [6,1,2,3,5,4] => 00000 => [6]
[2,2,6,1,2,4] => [4,1,2,5,6,3] => 00000 => [6]
[2,2,6,1,4,2] => [4,1,2,5,6,3] => 00000 => [6]
[2,2,6,2,1,4] => [5,1,2,4,6,3] => 00000 => [6]
[2,2,6,2,4,1] => [6,1,2,4,5,3] => 00000 => [6]
[2,2,6,4,1,2] => [5,1,2,4,6,3] => 00000 => [6]
[2,2,6,4,2,1] => [6,1,2,4,5,3] => 00000 => [6]
[2,4,1,2,2,6] => [3,1,4,2,5,6] => 00011 => [4,1,1]
[2,4,1,2,6,2] => [3,1,4,2,6,5] => 00010 => [4,2]
[2,4,1,6,2,2] => [3,1,5,2,6,4] => 00000 => [6]
[2,4,2,1,2,6] => [4,1,3,2,5,6] => 00011 => [4,1,1]
[2,4,2,1,6,2] => [4,1,3,2,6,5] => 00010 => [4,2]
[2,4,2,2,1,6] => [5,1,3,2,4,6] => 00001 => [5,1]
[2,4,2,2,6,1] => [6,1,3,2,4,5] => 00000 => [6]
[2,4,2,6,1,2] => [5,1,3,2,6,4] => 00000 => [6]
[2,4,2,6,2,1] => [6,1,3,2,5,4] => 00000 => [6]
[2,4,6,1,2,2] => [4,1,5,2,6,3] => 00000 => [6]
[2,4,6,2,1,2] => [5,1,4,2,6,3] => 00000 => [6]
[2,4,6,2,2,1] => [6,1,4,2,5,3] => 00000 => [6]
[2,6,1,2,2,4] => [3,1,4,5,6,2] => 00000 => [6]
[2,6,1,2,4,2] => [3,1,4,5,6,2] => 00000 => [6]
[2,6,1,4,2,2] => [3,1,5,4,6,2] => 00000 => [6]
[2,6,2,1,2,4] => [4,1,3,5,6,2] => 00000 => [6]
[2,6,2,1,4,2] => [4,1,3,5,6,2] => 00000 => [6]
[2,6,2,2,1,4] => [5,1,3,4,6,2] => 00000 => [6]
[2,6,2,2,4,1] => [6,1,3,4,5,2] => 00000 => [6]
[2,6,2,4,1,2] => [5,1,3,4,6,2] => 00000 => [6]
[2,6,2,4,2,1] => [6,1,3,4,5,2] => 00000 => [6]
[2,6,4,1,2,2] => [4,1,5,3,6,2] => 00000 => [6]
[2,6,4,2,1,2] => [5,1,4,3,6,2] => 00000 => [6]
[2,6,4,2,2,1] => [6,1,4,3,5,2] => 00000 => [6]
[4,1,2,2,2,6] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,2,2,6,2] => [2,3,4,1,6,5] => 00010 => [4,2]
[4,1,2,6,2,2] => [2,3,5,1,6,4] => 00000 => [6]
[4,1,6,2,2,2] => [2,4,5,1,6,3] => 00000 => [6]
[4,2,1,2,2,6] => [3,2,4,1,5,6] => 00011 => [4,1,1]
[4,2,1,2,6,2] => [3,2,4,1,6,5] => 00010 => [4,2]
[4,2,1,6,2,2] => [3,2,5,1,6,4] => 00000 => [6]
[4,2,2,1,2,6] => [4,2,3,1,5,6] => 00011 => [4,1,1]
[4,2,2,1,6,2] => [4,2,3,1,6,5] => 00010 => [4,2]
[4,2,2,2,1,6] => [5,2,3,1,4,6] => 00001 => [5,1]
[4,2,2,2,6,1] => [6,2,3,1,4,5] => 00000 => [6]
[4,2,2,6,1,2] => [5,2,3,1,6,4] => 00000 => [6]
[4,2,2,6,2,1] => [6,2,3,1,5,4] => 00000 => [6]
[4,2,6,1,2,2] => [4,2,5,1,6,3] => 00000 => [6]
[4,2,6,2,1,2] => [5,2,4,1,6,3] => 00000 => [6]
[4,2,6,2,2,1] => [6,2,4,1,5,3] => 00000 => [6]
[4,6,1,2,2,2] => [3,4,5,1,6,2] => 00000 => [6]
[4,6,2,1,2,2] => [4,3,5,1,6,2] => 00000 => [6]
[4,6,2,2,1,2] => [5,3,4,1,6,2] => 00000 => [6]
[4,6,2,2,2,1] => [6,3,4,1,5,2] => 00000 => [6]
[6,1,2,2,2,4] => [2,3,4,5,6,1] => 00000 => [6]
[6,1,2,2,4,2] => [2,3,4,5,6,1] => 00000 => [6]
[6,1,2,4,2,2] => [2,3,5,4,6,1] => 00000 => [6]
[6,1,4,2,2,2] => [2,4,5,3,6,1] => 00000 => [6]
[6,2,1,2,2,4] => [3,2,4,5,6,1] => 00000 => [6]
[6,2,1,2,4,2] => [3,2,4,5,6,1] => 00000 => [6]
[6,2,1,4,2,2] => [3,2,5,4,6,1] => 00000 => [6]
[6,2,2,1,2,4] => [4,2,3,5,6,1] => 00000 => [6]
[6,2,2,1,4,2] => [4,2,3,5,6,1] => 00000 => [6]
[6,2,2,2,1,4] => [5,2,3,4,6,1] => 00000 => [6]
[6,2,2,2,4,1] => [6,2,3,4,5,1] => 00000 => [6]
[6,2,2,4,1,2] => [5,2,3,4,6,1] => 00000 => [6]
[6,2,2,4,2,1] => [6,2,3,4,5,1] => 00000 => [6]
[6,2,4,1,2,2] => [4,2,5,3,6,1] => 00000 => [6]
[6,2,4,2,1,2] => [5,2,4,3,6,1] => 00000 => [6]
[6,2,4,2,2,1] => [6,2,4,3,5,1] => 00000 => [6]
[6,4,1,2,2,2] => [3,4,5,2,6,1] => 00000 => [6]
[6,4,2,1,2,2] => [4,3,5,2,6,1] => 00000 => [6]
[6,4,2,2,1,2] => [5,3,4,2,6,1] => 00000 => [6]
[6,4,2,2,2,1] => [6,3,4,2,5,1] => 00000 => [6]
[1,2,2,2,5,5] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,2,5,2,5] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,2,2,5,5,2] => [1,2,3,6,4,5] => 11100 => [1,1,1,3]
[1,2,5,2,2,5] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,2,5,2,5,2] => [1,2,4,6,3,5] => 11000 => [1,1,4]
[1,2,5,5,2,2] => [1,2,5,6,3,4] => 11000 => [1,1,4]
[1,5,2,2,2,5] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,2,2,5,2] => [1,3,4,6,2,5] => 10000 => [1,5]
[1,5,2,5,2,2] => [1,3,5,6,2,4] => 10000 => [1,5]
[1,5,5,2,2,2] => [1,4,5,6,2,3] => 10000 => [1,5]
[2,1,2,2,5,5] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,2,5,2,5] => [2,1,3,5,4,6] => 01101 => [2,1,2,1]
[2,1,2,5,5,2] => [2,1,3,6,4,5] => 01100 => [2,1,3]
[2,1,5,2,2,5] => [2,1,4,5,3,6] => 01001 => [2,3,1]
[2,1,5,2,5,2] => [2,1,4,6,3,5] => 01000 => [2,4]
[2,1,5,5,2,2] => [2,1,5,6,3,4] => 01000 => [2,4]
[2,2,1,2,5,5] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,2,1,5,2,5] => [3,1,2,5,4,6] => 00101 => [3,2,1]
[2,2,1,5,5,2] => [3,1,2,6,4,5] => 00100 => [3,3]
[2,2,2,1,5,5] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,2,2,5,1,5] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,2,2,5,5,1] => [6,1,2,3,4,5] => 00000 => [6]
[2,2,5,1,2,5] => [4,1,2,5,3,6] => 00001 => [5,1]
[2,2,5,1,5,2] => [4,1,2,6,3,5] => 00000 => [6]
[2,2,5,2,1,5] => [5,1,2,4,3,6] => 00001 => [5,1]
[2,2,5,2,5,1] => [6,1,2,4,3,5] => 00000 => [6]
[2,2,5,5,1,2] => [5,1,2,6,3,4] => 00000 => [6]
[2,2,5,5,2,1] => [6,1,2,5,3,4] => 00000 => [6]
[2,5,1,2,2,5] => [3,1,4,5,2,6] => 00001 => [5,1]
[2,5,1,2,5,2] => [3,1,4,6,2,5] => 00000 => [6]
[2,5,1,5,2,2] => [3,1,5,6,2,4] => 00000 => [6]
[2,5,2,1,2,5] => [4,1,3,5,2,6] => 00001 => [5,1]
[2,5,2,1,5,2] => [4,1,3,6,2,5] => 00000 => [6]
[2,5,2,2,1,5] => [5,1,3,4,2,6] => 00001 => [5,1]
[2,5,2,2,5,1] => [6,1,3,4,2,5] => 00000 => [6]
[2,5,2,5,1,2] => [5,1,3,6,2,4] => 00000 => [6]
[2,5,2,5,2,1] => [6,1,3,5,2,4] => 00000 => [6]
[2,5,5,1,2,2] => [4,1,5,6,2,3] => 00000 => [6]
[2,5,5,2,1,2] => [5,1,4,6,2,3] => 00000 => [6]
[2,5,5,2,2,1] => [6,1,4,5,2,3] => 00000 => [6]
[5,1,2,2,2,5] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,2,2,5,2] => [2,3,4,6,1,5] => 00000 => [6]
[5,1,2,5,2,2] => [2,3,5,6,1,4] => 00000 => [6]
[5,1,5,2,2,2] => [2,4,5,6,1,3] => 00000 => [6]
[5,2,1,2,2,5] => [3,2,4,5,1,6] => 00001 => [5,1]
[5,2,1,2,5,2] => [3,2,4,6,1,5] => 00000 => [6]
[5,2,1,5,2,2] => [3,2,5,6,1,4] => 00000 => [6]
[5,2,2,1,2,5] => [4,2,3,5,1,6] => 00001 => [5,1]
[5,2,2,1,5,2] => [4,2,3,6,1,5] => 00000 => [6]
[5,2,2,2,1,5] => [5,2,3,4,1,6] => 00001 => [5,1]
[5,2,2,2,5,1] => [6,2,3,4,1,5] => 00000 => [6]
[5,2,2,5,1,2] => [5,2,3,6,1,4] => 00000 => [6]
[5,2,2,5,2,1] => [6,2,3,5,1,4] => 00000 => [6]
[5,2,5,1,2,2] => [4,2,5,6,1,3] => 00000 => [6]
[5,2,5,2,1,2] => [5,2,4,6,1,3] => 00000 => [6]
[5,2,5,2,2,1] => [6,2,4,5,1,3] => 00000 => [6]
[5,5,1,2,2,2] => [3,4,5,6,1,2] => 00000 => [6]
[5,5,2,1,2,2] => [4,3,5,6,1,2] => 00000 => [6]
[5,5,2,2,1,2] => [5,3,4,6,1,2] => 00000 => [6]
[5,5,2,2,2,1] => [6,3,4,5,1,2] => 00000 => [6]
[1,2,2,2,5,6] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,2,2,6,5] => [1,2,3,4,6,5] => 11110 => [1,1,1,1,2]
[1,2,2,5,2,6] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,2,2,5,6,2] => [1,2,3,6,4,5] => 11100 => [1,1,1,3]
[1,2,2,6,2,5] => [1,2,3,5,6,4] => 11100 => [1,1,1,3]
[1,2,2,6,5,2] => [1,2,3,6,5,4] => 11100 => [1,1,1,3]
[1,2,5,2,2,6] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,2,5,2,6,2] => [1,2,4,6,3,5] => 11000 => [1,1,4]
[1,2,5,6,2,2] => [1,2,5,6,3,4] => 11000 => [1,1,4]
[1,2,6,2,2,5] => [1,2,4,5,6,3] => 11000 => [1,1,4]
[1,2,6,2,5,2] => [1,2,4,6,5,3] => 11000 => [1,1,4]
[1,2,6,5,2,2] => [1,2,5,6,4,3] => 11000 => [1,1,4]
[1,5,2,2,2,6] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,2,2,6,2] => [1,3,4,6,2,5] => 10000 => [1,5]
[1,5,2,6,2,2] => [1,3,5,6,2,4] => 10000 => [1,5]
[1,5,6,2,2,2] => [1,4,5,6,2,3] => 10000 => [1,5]
[1,6,2,2,2,5] => [1,3,4,5,6,2] => 10000 => [1,5]
[1,6,2,2,5,2] => [1,3,4,6,5,2] => 10000 => [1,5]
[1,6,2,5,2,2] => [1,3,5,6,4,2] => 10000 => [1,5]
[1,6,5,2,2,2] => [1,4,5,6,3,2] => 10000 => [1,5]
[2,1,2,2,5,6] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,2,2,6,5] => [2,1,3,4,6,5] => 01110 => [2,1,1,2]
[2,1,2,5,2,6] => [2,1,3,5,4,6] => 01101 => [2,1,2,1]
[2,1,2,5,6,2] => [2,1,3,6,4,5] => 01100 => [2,1,3]
[2,1,2,6,2,5] => [2,1,3,5,6,4] => 01100 => [2,1,3]
[2,1,2,6,5,2] => [2,1,3,6,5,4] => 01100 => [2,1,3]
[2,1,5,2,2,6] => [2,1,4,5,3,6] => 01001 => [2,3,1]
[2,1,5,2,6,2] => [2,1,4,6,3,5] => 01000 => [2,4]
[2,1,5,6,2,2] => [2,1,5,6,3,4] => 01000 => [2,4]
[2,1,6,2,2,5] => [2,1,4,5,6,3] => 01000 => [2,4]
[2,1,6,2,5,2] => [2,1,4,6,5,3] => 01000 => [2,4]
[2,1,6,5,2,2] => [2,1,5,6,4,3] => 01000 => [2,4]
[2,2,1,2,5,6] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,2,1,2,6,5] => [3,1,2,4,6,5] => 00110 => [3,1,2]
[2,2,1,5,2,6] => [3,1,2,5,4,6] => 00101 => [3,2,1]
[2,2,1,5,6,2] => [3,1,2,6,4,5] => 00100 => [3,3]
[2,2,1,6,2,5] => [3,1,2,5,6,4] => 00100 => [3,3]
[2,2,1,6,5,2] => [3,1,2,6,5,4] => 00100 => [3,3]
[2,2,2,1,5,6] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,2,2,1,6,5] => [4,1,2,3,6,5] => 00010 => [4,2]
[2,2,2,5,1,6] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,2,2,5,6,1] => [6,1,2,3,4,5] => 00000 => [6]
[2,2,2,6,1,5] => [5,1,2,3,6,4] => 00000 => [6]
[2,2,2,6,5,1] => [6,1,2,3,5,4] => 00000 => [6]
[2,2,5,1,2,6] => [4,1,2,5,3,6] => 00001 => [5,1]
[2,2,5,1,6,2] => [4,1,2,6,3,5] => 00000 => [6]
[2,2,5,2,1,6] => [5,1,2,4,3,6] => 00001 => [5,1]
[2,2,5,2,6,1] => [6,1,2,4,3,5] => 00000 => [6]
[2,2,5,6,1,2] => [5,1,2,6,3,4] => 00000 => [6]
[2,2,5,6,2,1] => [6,1,2,5,3,4] => 00000 => [6]
[2,2,6,1,2,5] => [4,1,2,5,6,3] => 00000 => [6]
[2,2,6,1,5,2] => [4,1,2,6,5,3] => 00000 => [6]
[2,2,6,2,1,5] => [5,1,2,4,6,3] => 00000 => [6]
[2,2,6,2,5,1] => [6,1,2,4,5,3] => 00000 => [6]
[2,2,6,5,1,2] => [5,1,2,6,4,3] => 00000 => [6]
[2,2,6,5,2,1] => [6,1,2,5,4,3] => 00000 => [6]
[2,5,1,2,2,6] => [3,1,4,5,2,6] => 00001 => [5,1]
[2,5,1,2,6,2] => [3,1,4,6,2,5] => 00000 => [6]
[2,5,1,6,2,2] => [3,1,5,6,2,4] => 00000 => [6]
[2,5,2,1,2,6] => [4,1,3,5,2,6] => 00001 => [5,1]
[2,5,2,1,6,2] => [4,1,3,6,2,5] => 00000 => [6]
[2,5,2,2,1,6] => [5,1,3,4,2,6] => 00001 => [5,1]
[2,5,2,2,6,1] => [6,1,3,4,2,5] => 00000 => [6]
[2,5,2,6,1,2] => [5,1,3,6,2,4] => 00000 => [6]
[2,5,2,6,2,1] => [6,1,3,5,2,4] => 00000 => [6]
[2,5,6,1,2,2] => [4,1,5,6,2,3] => 00000 => [6]
[2,5,6,2,1,2] => [5,1,4,6,2,3] => 00000 => [6]
[2,5,6,2,2,1] => [6,1,4,5,2,3] => 00000 => [6]
[2,6,1,2,2,5] => [3,1,4,5,6,2] => 00000 => [6]
[2,6,1,2,5,2] => [3,1,4,6,5,2] => 00000 => [6]
[2,6,1,5,2,2] => [3,1,5,6,4,2] => 00000 => [6]
[2,6,2,1,2,5] => [4,1,3,5,6,2] => 00000 => [6]
[2,6,2,1,5,2] => [4,1,3,6,5,2] => 00000 => [6]
[2,6,2,2,1,5] => [5,1,3,4,6,2] => 00000 => [6]
[2,6,2,2,5,1] => [6,1,3,4,5,2] => 00000 => [6]
[2,6,2,5,1,2] => [5,1,3,6,4,2] => 00000 => [6]
[2,6,2,5,2,1] => [6,1,3,5,4,2] => 00000 => [6]
[2,6,5,1,2,2] => [4,1,5,6,3,2] => 00000 => [6]
[2,6,5,2,1,2] => [5,1,4,6,3,2] => 00000 => [6]
[2,6,5,2,2,1] => [6,1,4,5,3,2] => 00000 => [6]
[5,1,2,2,2,6] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,2,2,6,2] => [2,3,4,6,1,5] => 00000 => [6]
[5,1,2,6,2,2] => [2,3,5,6,1,4] => 00000 => [6]
[5,1,6,2,2,2] => [2,4,5,6,1,3] => 00000 => [6]
[5,2,1,2,2,6] => [3,2,4,5,1,6] => 00001 => [5,1]
[5,2,1,2,6,2] => [3,2,4,6,1,5] => 00000 => [6]
[5,2,1,6,2,2] => [3,2,5,6,1,4] => 00000 => [6]
[5,2,2,1,2,6] => [4,2,3,5,1,6] => 00001 => [5,1]
[5,2,2,1,6,2] => [4,2,3,6,1,5] => 00000 => [6]
[5,2,2,2,1,6] => [5,2,3,4,1,6] => 00001 => [5,1]
[5,2,2,2,6,1] => [6,2,3,4,1,5] => 00000 => [6]
[5,2,2,6,1,2] => [5,2,3,6,1,4] => 00000 => [6]
[5,2,2,6,2,1] => [6,2,3,5,1,4] => 00000 => [6]
[5,2,6,1,2,2] => [4,2,5,6,1,3] => 00000 => [6]
[5,2,6,2,1,2] => [5,2,4,6,1,3] => 00000 => [6]
[5,2,6,2,2,1] => [6,2,4,5,1,3] => 00000 => [6]
[5,6,1,2,2,2] => [3,4,5,6,1,2] => 00000 => [6]
[5,6,2,1,2,2] => [4,3,5,6,1,2] => 00000 => [6]
[5,6,2,2,1,2] => [5,3,4,6,1,2] => 00000 => [6]
[5,6,2,2,2,1] => [6,3,4,5,1,2] => 00000 => [6]
[6,1,2,2,2,5] => [2,3,4,5,6,1] => 00000 => [6]
[6,1,2,2,5,2] => [2,3,4,6,5,1] => 00000 => [6]
[6,1,2,5,2,2] => [2,3,5,6,4,1] => 00000 => [6]
[6,1,5,2,2,2] => [2,4,5,6,3,1] => 00000 => [6]
[6,2,1,2,2,5] => [3,2,4,5,6,1] => 00000 => [6]
[6,2,1,2,5,2] => [3,2,4,6,5,1] => 00000 => [6]
[6,2,1,5,2,2] => [3,2,5,6,4,1] => 00000 => [6]
[6,2,2,1,2,5] => [4,2,3,5,6,1] => 00000 => [6]
[6,2,2,1,5,2] => [4,2,3,6,5,1] => 00000 => [6]
[6,2,2,2,1,5] => [5,2,3,4,6,1] => 00000 => [6]
[6,2,2,2,5,1] => [6,2,3,4,5,1] => 00000 => [6]
[6,2,2,5,1,2] => [5,2,3,6,4,1] => 00000 => [6]
[6,2,2,5,2,1] => [6,2,3,5,4,1] => 00000 => [6]
[6,2,5,1,2,2] => [4,2,5,6,3,1] => 00000 => [6]
[6,2,5,2,1,2] => [5,2,4,6,3,1] => 00000 => [6]
[6,2,5,2,2,1] => [6,2,4,5,3,1] => 00000 => [6]
[6,5,1,2,2,2] => [3,4,5,6,2,1] => 00000 => [6]
[6,5,2,1,2,2] => [4,3,5,6,2,1] => 00000 => [6]
[6,5,2,2,1,2] => [5,3,4,6,2,1] => 00000 => [6]
[6,5,2,2,2,1] => [6,3,4,5,2,1] => 00000 => [6]
[1,2,2,3,3,3] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,3,2,3,3] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,3,3,2,3] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,3,3,3,2] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,3,2,2,3,3] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,2,3,2,3] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,2,3,3,2] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,3,2,2,3] => [1,4,2,3,5,6] => 10011 => [1,3,1,1]
[1,3,3,2,3,2] => [1,4,2,3,5,6] => 10011 => [1,3,1,1]
[1,3,3,3,2,2] => [1,5,2,3,4,6] => 10001 => [1,4,1]
[2,1,2,3,3,3] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,3,2,3,3] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,3,3,2,3] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,3,3,3,2] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,2,1,3,3,3] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,2,3,1,3,3] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,2,3,3,1,3] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,2,3,3,3,1] => [6,1,2,3,4,5] => 00000 => [6]
[2,3,1,2,3,3] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,3,1,3,2,3] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,3,1,3,3,2] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,3,2,1,3,3] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,3,2,3,1,3] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,3,2,3,3,1] => [6,1,2,3,4,5] => 00000 => [6]
[2,3,3,1,2,3] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,3,3,1,3,2] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,3,3,2,1,3] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,3,3,2,3,1] => [6,1,2,3,4,5] => 00000 => [6]
[2,3,3,3,1,2] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,3,3,3,2,1] => [6,1,2,3,4,5] => 00000 => [6]
[3,1,2,2,3,3] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,2,3,2,3] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,2,3,3,2] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,3,2,2,3] => [2,4,1,3,5,6] => 00011 => [4,1,1]
[3,1,3,2,3,2] => [2,4,1,3,5,6] => 00011 => [4,1,1]
[3,1,3,3,2,2] => [2,5,1,3,4,6] => 00001 => [5,1]
[3,2,1,2,3,3] => [3,2,1,4,5,6] => 00111 => [3,1,1,1]
[3,2,1,3,2,3] => [3,2,1,4,5,6] => 00111 => [3,1,1,1]
[3,2,1,3,3,2] => [3,2,1,4,5,6] => 00111 => [3,1,1,1]
[3,2,2,1,3,3] => [4,2,1,3,5,6] => 00011 => [4,1,1]
[3,2,2,3,1,3] => [5,2,1,3,4,6] => 00001 => [5,1]
[3,2,2,3,3,1] => [6,2,1,3,4,5] => 00000 => [6]
[3,2,3,1,2,3] => [4,2,1,3,5,6] => 00011 => [4,1,1]
[3,2,3,1,3,2] => [4,2,1,3,5,6] => 00011 => [4,1,1]
[3,2,3,2,1,3] => [5,2,1,3,4,6] => 00001 => [5,1]
[3,2,3,2,3,1] => [6,2,1,3,4,5] => 00000 => [6]
[3,2,3,3,1,2] => [5,2,1,3,4,6] => 00001 => [5,1]
[3,2,3,3,2,1] => [6,2,1,3,4,5] => 00000 => [6]
[3,3,1,2,2,3] => [3,4,1,2,5,6] => 00011 => [4,1,1]
[3,3,1,2,3,2] => [3,4,1,2,5,6] => 00011 => [4,1,1]
[3,3,1,3,2,2] => [3,5,1,2,4,6] => 00001 => [5,1]
[3,3,2,1,2,3] => [4,3,1,2,5,6] => 00011 => [4,1,1]
[3,3,2,1,3,2] => [4,3,1,2,5,6] => 00011 => [4,1,1]
[3,3,2,2,1,3] => [5,3,1,2,4,6] => 00001 => [5,1]
[3,3,2,2,3,1] => [6,3,1,2,4,5] => 00000 => [6]
[3,3,2,3,1,2] => [5,3,1,2,4,6] => 00001 => [5,1]
[3,3,2,3,2,1] => [6,3,1,2,4,5] => 00000 => [6]
[3,3,3,1,2,2] => [4,5,1,2,3,6] => 00001 => [5,1]
[3,3,3,2,1,2] => [5,4,1,2,3,6] => 00001 => [5,1]
[3,3,3,2,2,1] => [6,4,1,2,3,5] => 00000 => [6]
[1,2,2,3,3,4] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,2,3,4,3] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,2,4,3,3] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,3,2,3,4] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,3,2,4,3] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,3,3,2,4] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,3,3,4,2] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,3,4,2,3] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,3,4,3,2] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,4,2,3,3] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,2,4,3,2,3] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,2,4,3,3,2] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,3,2,2,3,4] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,2,2,4,3] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,2,3,2,4] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,2,3,4,2] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,2,4,2,3] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,2,4,3,2] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,3,2,2,4] => [1,4,2,3,5,6] => 10011 => [1,3,1,1]
[1,3,3,2,4,2] => [1,4,2,3,5,6] => 10011 => [1,3,1,1]
[1,3,3,4,2,2] => [1,5,2,3,4,6] => 10001 => [1,4,1]
[1,3,4,2,2,3] => [1,4,2,3,5,6] => 10011 => [1,3,1,1]
[1,3,4,2,3,2] => [1,4,2,3,5,6] => 10011 => [1,3,1,1]
[1,3,4,3,2,2] => [1,5,2,3,4,6] => 10001 => [1,4,1]
[1,4,2,2,3,3] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,2,3,2,3] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,2,3,3,2] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,3,2,2,3] => [1,4,3,2,5,6] => 10011 => [1,3,1,1]
[1,4,3,2,3,2] => [1,4,3,2,5,6] => 10011 => [1,3,1,1]
[1,4,3,3,2,2] => [1,5,3,2,4,6] => 10001 => [1,4,1]
[2,1,2,3,3,4] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,2,3,4,3] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,2,4,3,3] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,3,2,3,4] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,3,2,4,3] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,3,3,2,4] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,3,3,4,2] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,3,4,2,3] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,3,4,3,2] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,4,2,3,3] => [2,1,4,3,5,6] => 01011 => [2,2,1,1]
[2,1,4,3,2,3] => [2,1,4,3,5,6] => 01011 => [2,2,1,1]
[2,1,4,3,3,2] => [2,1,4,3,5,6] => 01011 => [2,2,1,1]
[2,2,1,3,3,4] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,2,1,3,4,3] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,2,1,4,3,3] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,2,3,1,3,4] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,2,3,1,4,3] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,2,3,3,1,4] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,2,3,3,4,1] => [6,1,2,3,4,5] => 00000 => [6]
[2,2,3,4,1,3] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,2,3,4,3,1] => [6,1,2,3,4,5] => 00000 => [6]
[2,2,4,1,3,3] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,2,4,3,1,3] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,2,4,3,3,1] => [6,1,2,3,4,5] => 00000 => [6]
[2,3,1,2,3,4] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,3,1,2,4,3] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,3,1,3,2,4] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,3,1,3,4,2] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,3,1,4,2,3] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,3,1,4,3,2] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,3,2,1,3,4] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,3,2,1,4,3] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,3,2,3,1,4] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,3,2,3,4,1] => [6,1,2,3,4,5] => 00000 => [6]
[2,3,2,4,1,3] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,3,2,4,3,1] => [6,1,2,3,4,5] => 00000 => [6]
[2,3,3,1,2,4] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,3,3,1,4,2] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,3,3,2,1,4] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,3,3,2,4,1] => [6,1,2,3,4,5] => 00000 => [6]
[2,3,3,4,1,2] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,3,3,4,2,1] => [6,1,2,3,4,5] => 00000 => [6]
[2,3,4,1,2,3] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,3,4,1,3,2] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,3,4,2,1,3] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,3,4,2,3,1] => [6,1,2,3,4,5] => 00000 => [6]
[2,3,4,3,1,2] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,3,4,3,2,1] => [6,1,2,3,4,5] => 00000 => [6]
[2,4,1,2,3,3] => [3,1,4,2,5,6] => 00011 => [4,1,1]
[2,4,1,3,2,3] => [3,1,4,2,5,6] => 00011 => [4,1,1]
[2,4,1,3,3,2] => [3,1,4,2,5,6] => 00011 => [4,1,1]
[2,4,2,1,3,3] => [4,1,3,2,5,6] => 00011 => [4,1,1]
[2,4,2,3,1,3] => [5,1,3,2,4,6] => 00001 => [5,1]
[2,4,2,3,3,1] => [6,1,3,2,4,5] => 00000 => [6]
[2,4,3,1,2,3] => [4,1,3,2,5,6] => 00011 => [4,1,1]
[2,4,3,1,3,2] => [4,1,3,2,5,6] => 00011 => [4,1,1]
[2,4,3,2,1,3] => [5,1,3,2,4,6] => 00001 => [5,1]
[2,4,3,2,3,1] => [6,1,3,2,4,5] => 00000 => [6]
[2,4,3,3,1,2] => [5,1,3,2,4,6] => 00001 => [5,1]
[2,4,3,3,2,1] => [6,1,3,2,4,5] => 00000 => [6]
[3,1,2,2,3,4] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,2,2,4,3] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,2,3,2,4] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,2,3,4,2] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,2,4,2,3] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,2,4,3,2] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,3,2,2,4] => [2,4,1,3,5,6] => 00011 => [4,1,1]
[3,1,3,2,4,2] => [2,4,1,3,5,6] => 00011 => [4,1,1]
[3,1,3,4,2,2] => [2,5,1,3,4,6] => 00001 => [5,1]
[3,1,4,2,2,3] => [2,4,1,3,5,6] => 00011 => [4,1,1]
[3,1,4,2,3,2] => [2,4,1,3,5,6] => 00011 => [4,1,1]
[3,1,4,3,2,2] => [2,5,1,3,4,6] => 00001 => [5,1]
[3,2,1,2,3,4] => [3,2,1,4,5,6] => 00111 => [3,1,1,1]
[3,2,1,2,4,3] => [3,2,1,4,5,6] => 00111 => [3,1,1,1]
[3,2,1,3,2,4] => [3,2,1,4,5,6] => 00111 => [3,1,1,1]
[3,2,1,3,4,2] => [3,2,1,4,5,6] => 00111 => [3,1,1,1]
[3,2,1,4,2,3] => [3,2,1,4,5,6] => 00111 => [3,1,1,1]
[3,2,1,4,3,2] => [3,2,1,4,5,6] => 00111 => [3,1,1,1]
[3,2,2,1,3,4] => [4,2,1,3,5,6] => 00011 => [4,1,1]
[3,2,2,1,4,3] => [4,2,1,3,5,6] => 00011 => [4,1,1]
[3,2,2,3,1,4] => [5,2,1,3,4,6] => 00001 => [5,1]
[3,2,2,3,4,1] => [6,2,1,3,4,5] => 00000 => [6]
[3,2,2,4,1,3] => [5,2,1,3,4,6] => 00001 => [5,1]
[3,2,2,4,3,1] => [6,2,1,3,4,5] => 00000 => [6]
[3,2,3,1,2,4] => [4,2,1,3,5,6] => 00011 => [4,1,1]
[3,2,3,1,4,2] => [4,2,1,3,5,6] => 00011 => [4,1,1]
[3,2,3,2,1,4] => [5,2,1,3,4,6] => 00001 => [5,1]
[3,2,3,2,4,1] => [6,2,1,3,4,5] => 00000 => [6]
[3,2,3,4,1,2] => [5,2,1,3,4,6] => 00001 => [5,1]
[3,2,3,4,2,1] => [6,2,1,3,4,5] => 00000 => [6]
[3,2,4,1,2,3] => [4,2,1,3,5,6] => 00011 => [4,1,1]
[3,2,4,1,3,2] => [4,2,1,3,5,6] => 00011 => [4,1,1]
[3,2,4,2,1,3] => [5,2,1,3,4,6] => 00001 => [5,1]
[3,2,4,2,3,1] => [6,2,1,3,4,5] => 00000 => [6]
[3,2,4,3,1,2] => [5,2,1,3,4,6] => 00001 => [5,1]
[3,2,4,3,2,1] => [6,2,1,3,4,5] => 00000 => [6]
[3,3,1,2,2,4] => [3,4,1,2,5,6] => 00011 => [4,1,1]
[3,3,1,2,4,2] => [3,4,1,2,5,6] => 00011 => [4,1,1]
[3,3,1,4,2,2] => [3,5,1,2,4,6] => 00001 => [5,1]
[3,3,2,1,2,4] => [4,3,1,2,5,6] => 00011 => [4,1,1]
[3,3,2,1,4,2] => [4,3,1,2,5,6] => 00011 => [4,1,1]
[3,3,2,2,1,4] => [5,3,1,2,4,6] => 00001 => [5,1]
[3,3,2,2,4,1] => [6,3,1,2,4,5] => 00000 => [6]
[3,3,2,4,1,2] => [5,3,1,2,4,6] => 00001 => [5,1]
[3,3,2,4,2,1] => [6,3,1,2,4,5] => 00000 => [6]
[3,3,4,1,2,2] => [4,5,1,2,3,6] => 00001 => [5,1]
[3,3,4,2,1,2] => [5,4,1,2,3,6] => 00001 => [5,1]
[3,3,4,2,2,1] => [6,4,1,2,3,5] => 00000 => [6]
[3,4,1,2,2,3] => [3,4,1,2,5,6] => 00011 => [4,1,1]
[3,4,1,2,3,2] => [3,4,1,2,5,6] => 00011 => [4,1,1]
[3,4,1,3,2,2] => [3,5,1,2,4,6] => 00001 => [5,1]
[3,4,2,1,2,3] => [4,3,1,2,5,6] => 00011 => [4,1,1]
[3,4,2,1,3,2] => [4,3,1,2,5,6] => 00011 => [4,1,1]
[3,4,2,2,1,3] => [5,3,1,2,4,6] => 00001 => [5,1]
[3,4,2,2,3,1] => [6,3,1,2,4,5] => 00000 => [6]
[3,4,2,3,1,2] => [5,3,1,2,4,6] => 00001 => [5,1]
[3,4,2,3,2,1] => [6,3,1,2,4,5] => 00000 => [6]
[3,4,3,1,2,2] => [4,5,1,2,3,6] => 00001 => [5,1]
[3,4,3,2,1,2] => [5,4,1,2,3,6] => 00001 => [5,1]
[3,4,3,2,2,1] => [6,4,1,2,3,5] => 00000 => [6]
[4,1,2,2,3,3] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,2,3,2,3] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,2,3,3,2] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,3,2,2,3] => [2,4,3,1,5,6] => 00011 => [4,1,1]
[4,1,3,2,3,2] => [2,4,3,1,5,6] => 00011 => [4,1,1]
[4,1,3,3,2,2] => [2,5,3,1,4,6] => 00001 => [5,1]
[4,2,1,2,3,3] => [3,2,4,1,5,6] => 00011 => [4,1,1]
[4,2,1,3,2,3] => [3,2,4,1,5,6] => 00011 => [4,1,1]
[4,2,1,3,3,2] => [3,2,4,1,5,6] => 00011 => [4,1,1]
[4,2,2,1,3,3] => [4,2,3,1,5,6] => 00011 => [4,1,1]
[4,2,2,3,1,3] => [5,2,3,1,4,6] => 00001 => [5,1]
[4,2,2,3,3,1] => [6,2,3,1,4,5] => 00000 => [6]
[4,2,3,1,2,3] => [4,2,3,1,5,6] => 00011 => [4,1,1]
[4,2,3,1,3,2] => [4,2,3,1,5,6] => 00011 => [4,1,1]
[4,2,3,2,1,3] => [5,2,3,1,4,6] => 00001 => [5,1]
[4,2,3,2,3,1] => [6,2,3,1,4,5] => 00000 => [6]
[4,2,3,3,1,2] => [5,2,3,1,4,6] => 00001 => [5,1]
[4,2,3,3,2,1] => [6,2,3,1,4,5] => 00000 => [6]
[4,3,1,2,2,3] => [3,4,2,1,5,6] => 00011 => [4,1,1]
[4,3,1,2,3,2] => [3,4,2,1,5,6] => 00011 => [4,1,1]
[4,3,1,3,2,2] => [3,5,2,1,4,6] => 00001 => [5,1]
[4,3,2,1,2,3] => [4,3,2,1,5,6] => 00011 => [4,1,1]
[4,3,2,1,3,2] => [4,3,2,1,5,6] => 00011 => [4,1,1]
[4,3,2,2,1,3] => [5,3,2,1,4,6] => 00001 => [5,1]
[4,3,2,2,3,1] => [6,3,2,1,4,5] => 00000 => [6]
[4,3,2,3,1,2] => [5,3,2,1,4,6] => 00001 => [5,1]
[4,3,2,3,2,1] => [6,3,2,1,4,5] => 00000 => [6]
[4,3,3,1,2,2] => [4,5,2,1,3,6] => 00001 => [5,1]
[4,3,3,2,1,2] => [5,4,2,1,3,6] => 00001 => [5,1]
[4,3,3,2,2,1] => [6,4,2,1,3,5] => 00000 => [6]
[1,2,2,3,3,5] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,2,3,5,3] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,2,5,3,3] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,2,3,2,3,5] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,3,2,5,3] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,3,3,2,5] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,3,3,5,2] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,3,5,2,3] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,2,3,5,3,2] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,2,5,2,3,3] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,2,5,3,2,3] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,2,5,3,3,2] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,3,2,2,3,5] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,2,2,5,3] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,2,3,2,5] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,2,3,5,2] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,2,5,2,3] => [1,3,2,5,4,6] => 10101 => [1,2,2,1]
[1,3,2,5,3,2] => [1,3,2,5,4,6] => 10101 => [1,2,2,1]
[1,3,3,2,2,5] => [1,4,2,3,5,6] => 10011 => [1,3,1,1]
[1,3,3,2,5,2] => [1,4,2,3,5,6] => 10011 => [1,3,1,1]
[1,3,3,5,2,2] => [1,5,2,3,4,6] => 10001 => [1,4,1]
[1,3,5,2,2,3] => [1,4,2,5,3,6] => 10001 => [1,4,1]
[1,3,5,2,3,2] => [1,4,2,5,3,6] => 10001 => [1,4,1]
[1,3,5,3,2,2] => [1,5,2,4,3,6] => 10001 => [1,4,1]
[1,5,2,2,3,3] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,2,3,2,3] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,2,3,3,2] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,3,2,2,3] => [1,4,3,5,2,6] => 10001 => [1,4,1]
[1,5,3,2,3,2] => [1,4,3,5,2,6] => 10001 => [1,4,1]
[1,5,3,3,2,2] => [1,5,3,4,2,6] => 10001 => [1,4,1]
[2,1,2,3,3,5] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,2,3,5,3] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,2,5,3,3] => [2,1,3,5,4,6] => 01101 => [2,1,2,1]
[2,1,3,2,3,5] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,3,2,5,3] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,3,3,2,5] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,3,3,5,2] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,3,5,2,3] => [2,1,3,5,4,6] => 01101 => [2,1,2,1]
[2,1,3,5,3,2] => [2,1,3,5,4,6] => 01101 => [2,1,2,1]
[2,1,5,2,3,3] => [2,1,4,5,3,6] => 01001 => [2,3,1]
[2,1,5,3,2,3] => [2,1,4,5,3,6] => 01001 => [2,3,1]
[2,1,5,3,3,2] => [2,1,4,5,3,6] => 01001 => [2,3,1]
[2,2,1,3,3,5] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,2,1,3,5,3] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,2,1,5,3,3] => [3,1,2,5,4,6] => 00101 => [3,2,1]
[2,2,3,1,3,5] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,2,3,1,5,3] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,2,3,3,1,5] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,2,3,3,5,1] => [6,1,2,3,4,5] => 00000 => [6]
[2,2,3,5,1,3] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,2,3,5,3,1] => [6,1,2,3,4,5] => 00000 => [6]
[2,2,5,1,3,3] => [4,1,2,5,3,6] => 00001 => [5,1]
[2,2,5,3,1,3] => [5,1,2,4,3,6] => 00001 => [5,1]
[2,2,5,3,3,1] => [6,1,2,4,3,5] => 00000 => [6]
[2,3,1,2,3,5] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,3,1,2,5,3] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,3,1,3,2,5] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,3,1,3,5,2] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,3,1,5,2,3] => [3,1,2,5,4,6] => 00101 => [3,2,1]
[2,3,1,5,3,2] => [3,1,2,5,4,6] => 00101 => [3,2,1]
[2,3,2,1,3,5] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,3,2,1,5,3] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,3,2,3,1,5] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,3,2,3,5,1] => [6,1,2,3,4,5] => 00000 => [6]
[2,3,2,5,1,3] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,3,2,5,3,1] => [6,1,2,3,4,5] => 00000 => [6]
[2,3,3,1,2,5] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,3,3,1,5,2] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,3,3,2,1,5] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,3,3,2,5,1] => [6,1,2,3,4,5] => 00000 => [6]
[2,3,3,5,1,2] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,3,3,5,2,1] => [6,1,2,3,4,5] => 00000 => [6]
[2,3,5,1,2,3] => [4,1,2,5,3,6] => 00001 => [5,1]
[2,3,5,1,3,2] => [4,1,2,5,3,6] => 00001 => [5,1]
[2,3,5,2,1,3] => [5,1,2,4,3,6] => 00001 => [5,1]
[2,3,5,2,3,1] => [6,1,2,4,3,5] => 00000 => [6]
[2,3,5,3,1,2] => [5,1,2,4,3,6] => 00001 => [5,1]
[2,3,5,3,2,1] => [6,1,2,4,3,5] => 00000 => [6]
[2,5,1,2,3,3] => [3,1,4,5,2,6] => 00001 => [5,1]
[2,5,1,3,2,3] => [3,1,4,5,2,6] => 00001 => [5,1]
[2,5,1,3,3,2] => [3,1,4,5,2,6] => 00001 => [5,1]
[2,5,2,1,3,3] => [4,1,3,5,2,6] => 00001 => [5,1]
[2,5,2,3,1,3] => [5,1,3,4,2,6] => 00001 => [5,1]
[2,5,2,3,3,1] => [6,1,3,4,2,5] => 00000 => [6]
[2,5,3,1,2,3] => [4,1,3,5,2,6] => 00001 => [5,1]
[2,5,3,1,3,2] => [4,1,3,5,2,6] => 00001 => [5,1]
[2,5,3,2,1,3] => [5,1,3,4,2,6] => 00001 => [5,1]
[2,5,3,2,3,1] => [6,1,3,4,2,5] => 00000 => [6]
[2,5,3,3,1,2] => [5,1,3,4,2,6] => 00001 => [5,1]
[2,5,3,3,2,1] => [6,1,3,4,2,5] => 00000 => [6]
[3,1,2,2,3,5] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,2,2,5,3] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,2,3,2,5] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,2,3,5,2] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,2,5,2,3] => [2,3,1,5,4,6] => 00101 => [3,2,1]
[3,1,2,5,3,2] => [2,3,1,5,4,6] => 00101 => [3,2,1]
[3,1,3,2,2,5] => [2,4,1,3,5,6] => 00011 => [4,1,1]
[3,1,3,2,5,2] => [2,4,1,3,5,6] => 00011 => [4,1,1]
[3,1,3,5,2,2] => [2,5,1,3,4,6] => 00001 => [5,1]
[3,1,5,2,2,3] => [2,4,1,5,3,6] => 00001 => [5,1]
[3,1,5,2,3,2] => [2,4,1,5,3,6] => 00001 => [5,1]
[3,1,5,3,2,2] => [2,5,1,4,3,6] => 00001 => [5,1]
[3,2,1,2,3,5] => [3,2,1,4,5,6] => 00111 => [3,1,1,1]
[3,2,1,2,5,3] => [3,2,1,4,5,6] => 00111 => [3,1,1,1]
[3,2,1,3,2,5] => [3,2,1,4,5,6] => 00111 => [3,1,1,1]
[3,2,1,3,5,2] => [3,2,1,4,5,6] => 00111 => [3,1,1,1]
[3,2,1,5,2,3] => [3,2,1,5,4,6] => 00101 => [3,2,1]
[3,2,1,5,3,2] => [3,2,1,5,4,6] => 00101 => [3,2,1]
[3,2,2,1,3,5] => [4,2,1,3,5,6] => 00011 => [4,1,1]
[3,2,2,1,5,3] => [4,2,1,3,5,6] => 00011 => [4,1,1]
[3,2,2,3,1,5] => [5,2,1,3,4,6] => 00001 => [5,1]
[3,2,2,3,5,1] => [6,2,1,3,4,5] => 00000 => [6]
[3,2,2,5,1,3] => [5,2,1,3,4,6] => 00001 => [5,1]
[3,2,2,5,3,1] => [6,2,1,3,4,5] => 00000 => [6]
[3,2,3,1,2,5] => [4,2,1,3,5,6] => 00011 => [4,1,1]
[3,2,3,1,5,2] => [4,2,1,3,5,6] => 00011 => [4,1,1]
[3,2,3,2,1,5] => [5,2,1,3,4,6] => 00001 => [5,1]
[3,2,3,2,5,1] => [6,2,1,3,4,5] => 00000 => [6]
[3,2,3,5,1,2] => [5,2,1,3,4,6] => 00001 => [5,1]
[3,2,3,5,2,1] => [6,2,1,3,4,5] => 00000 => [6]
[3,2,5,1,2,3] => [4,2,1,5,3,6] => 00001 => [5,1]
[3,2,5,1,3,2] => [4,2,1,5,3,6] => 00001 => [5,1]
[3,2,5,2,1,3] => [5,2,1,4,3,6] => 00001 => [5,1]
[3,2,5,2,3,1] => [6,2,1,4,3,5] => 00000 => [6]
[3,2,5,3,1,2] => [5,2,1,4,3,6] => 00001 => [5,1]
[3,2,5,3,2,1] => [6,2,1,4,3,5] => 00000 => [6]
[3,3,1,2,2,5] => [3,4,1,2,5,6] => 00011 => [4,1,1]
[3,3,1,2,5,2] => [3,4,1,2,5,6] => 00011 => [4,1,1]
[3,3,1,5,2,2] => [3,5,1,2,4,6] => 00001 => [5,1]
[3,3,2,1,2,5] => [4,3,1,2,5,6] => 00011 => [4,1,1]
[3,3,2,1,5,2] => [4,3,1,2,5,6] => 00011 => [4,1,1]
[3,3,2,2,1,5] => [5,3,1,2,4,6] => 00001 => [5,1]
[3,3,2,2,5,1] => [6,3,1,2,4,5] => 00000 => [6]
[3,3,2,5,1,2] => [5,3,1,2,4,6] => 00001 => [5,1]
[3,3,2,5,2,1] => [6,3,1,2,4,5] => 00000 => [6]
[3,3,5,1,2,2] => [4,5,1,2,3,6] => 00001 => [5,1]
[3,3,5,2,1,2] => [5,4,1,2,3,6] => 00001 => [5,1]
[3,3,5,2,2,1] => [6,4,1,2,3,5] => 00000 => [6]
[3,5,1,2,2,3] => [3,4,1,5,2,6] => 00001 => [5,1]
[3,5,1,2,3,2] => [3,4,1,5,2,6] => 00001 => [5,1]
[3,5,1,3,2,2] => [3,5,1,4,2,6] => 00001 => [5,1]
[3,5,2,1,2,3] => [4,3,1,5,2,6] => 00001 => [5,1]
[3,5,2,1,3,2] => [4,3,1,5,2,6] => 00001 => [5,1]
[3,5,2,2,1,3] => [5,3,1,4,2,6] => 00001 => [5,1]
[3,5,2,2,3,1] => [6,3,1,4,2,5] => 00000 => [6]
[3,5,2,3,1,2] => [5,3,1,4,2,6] => 00001 => [5,1]
[3,5,2,3,2,1] => [6,3,1,4,2,5] => 00000 => [6]
[3,5,3,1,2,2] => [4,5,1,3,2,6] => 00001 => [5,1]
[3,5,3,2,1,2] => [5,4,1,3,2,6] => 00001 => [5,1]
[3,5,3,2,2,1] => [6,4,1,3,2,5] => 00000 => [6]
[5,1,2,2,3,3] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,2,3,2,3] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,2,3,3,2] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,3,2,2,3] => [2,4,3,5,1,6] => 00001 => [5,1]
[5,1,3,2,3,2] => [2,4,3,5,1,6] => 00001 => [5,1]
[5,1,3,3,2,2] => [2,5,3,4,1,6] => 00001 => [5,1]
[5,2,1,2,3,3] => [3,2,4,5,1,6] => 00001 => [5,1]
[5,2,1,3,2,3] => [3,2,4,5,1,6] => 00001 => [5,1]
[5,2,1,3,3,2] => [3,2,4,5,1,6] => 00001 => [5,1]
[5,2,2,1,3,3] => [4,2,3,5,1,6] => 00001 => [5,1]
[5,2,2,3,1,3] => [5,2,3,4,1,6] => 00001 => [5,1]
[5,2,2,3,3,1] => [6,2,3,4,1,5] => 00000 => [6]
[5,2,3,1,2,3] => [4,2,3,5,1,6] => 00001 => [5,1]
[5,2,3,1,3,2] => [4,2,3,5,1,6] => 00001 => [5,1]
[5,2,3,2,1,3] => [5,2,3,4,1,6] => 00001 => [5,1]
[5,2,3,2,3,1] => [6,2,3,4,1,5] => 00000 => [6]
[5,2,3,3,1,2] => [5,2,3,4,1,6] => 00001 => [5,1]
[5,2,3,3,2,1] => [6,2,3,4,1,5] => 00000 => [6]
[5,3,1,2,2,3] => [3,4,2,5,1,6] => 00001 => [5,1]
[5,3,1,2,3,2] => [3,4,2,5,1,6] => 00001 => [5,1]
[5,3,1,3,2,2] => [3,5,2,4,1,6] => 00001 => [5,1]
[5,3,2,1,2,3] => [4,3,2,5,1,6] => 00001 => [5,1]
[5,3,2,1,3,2] => [4,3,2,5,1,6] => 00001 => [5,1]
[5,3,2,2,1,3] => [5,3,2,4,1,6] => 00001 => [5,1]
[5,3,2,2,3,1] => [6,3,2,4,1,5] => 00000 => [6]
[5,3,2,3,1,2] => [5,3,2,4,1,6] => 00001 => [5,1]
[5,3,2,3,2,1] => [6,3,2,4,1,5] => 00000 => [6]
[5,3,3,1,2,2] => [4,5,2,3,1,6] => 00001 => [5,1]
[5,3,3,2,1,2] => [5,4,2,3,1,6] => 00001 => [5,1]
[5,3,3,2,2,1] => [6,4,2,3,1,5] => 00000 => [6]
[1,2,2,3,3,6] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,2,3,6,3] => [1,2,3,4,6,5] => 11110 => [1,1,1,1,2]
[1,2,2,6,3,3] => [1,2,3,5,6,4] => 11100 => [1,1,1,3]
[1,2,3,2,3,6] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,3,2,6,3] => [1,2,3,4,6,5] => 11110 => [1,1,1,1,2]
[1,2,3,3,2,6] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,3,3,6,2] => [1,2,3,4,6,5] => 11110 => [1,1,1,1,2]
[1,2,3,6,2,3] => [1,2,3,5,6,4] => 11100 => [1,1,1,3]
[1,2,3,6,3,2] => [1,2,3,5,6,4] => 11100 => [1,1,1,3]
[1,2,6,2,3,3] => [1,2,4,5,6,3] => 11000 => [1,1,4]
[1,2,6,3,2,3] => [1,2,4,5,6,3] => 11000 => [1,1,4]
[1,2,6,3,3,2] => [1,2,4,5,6,3] => 11000 => [1,1,4]
[1,3,2,2,3,6] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,2,2,6,3] => [1,3,2,4,6,5] => 10110 => [1,2,1,2]
[1,3,2,3,2,6] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,2,3,6,2] => [1,3,2,4,6,5] => 10110 => [1,2,1,2]
[1,3,2,6,2,3] => [1,3,2,5,6,4] => 10100 => [1,2,3]
[1,3,2,6,3,2] => [1,3,2,5,6,4] => 10100 => [1,2,3]
[1,3,3,2,2,6] => [1,4,2,3,5,6] => 10011 => [1,3,1,1]
[1,3,3,2,6,2] => [1,4,2,3,6,5] => 10010 => [1,3,2]
[1,3,3,6,2,2] => [1,5,2,3,6,4] => 10000 => [1,5]
[1,3,6,2,2,3] => [1,4,2,5,6,3] => 10000 => [1,5]
[1,3,6,2,3,2] => [1,4,2,5,6,3] => 10000 => [1,5]
[1,3,6,3,2,2] => [1,5,2,4,6,3] => 10000 => [1,5]
[1,6,2,2,3,3] => [1,3,4,5,6,2] => 10000 => [1,5]
[1,6,2,3,2,3] => [1,3,4,5,6,2] => 10000 => [1,5]
[1,6,2,3,3,2] => [1,3,4,5,6,2] => 10000 => [1,5]
[1,6,3,2,2,3] => [1,4,3,5,6,2] => 10000 => [1,5]
[1,6,3,2,3,2] => [1,4,3,5,6,2] => 10000 => [1,5]
[1,6,3,3,2,2] => [1,5,3,4,6,2] => 10000 => [1,5]
[2,1,2,3,3,6] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,2,3,6,3] => [2,1,3,4,6,5] => 01110 => [2,1,1,2]
[2,1,2,6,3,3] => [2,1,3,5,6,4] => 01100 => [2,1,3]
[2,1,3,2,3,6] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,3,2,6,3] => [2,1,3,4,6,5] => 01110 => [2,1,1,2]
[2,1,3,3,2,6] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,3,3,6,2] => [2,1,3,4,6,5] => 01110 => [2,1,1,2]
[2,1,3,6,2,3] => [2,1,3,5,6,4] => 01100 => [2,1,3]
[2,1,3,6,3,2] => [2,1,3,5,6,4] => 01100 => [2,1,3]
[2,1,6,2,3,3] => [2,1,4,5,6,3] => 01000 => [2,4]
[2,1,6,3,2,3] => [2,1,4,5,6,3] => 01000 => [2,4]
[2,1,6,3,3,2] => [2,1,4,5,6,3] => 01000 => [2,4]
[2,2,1,3,3,6] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,2,1,3,6,3] => [3,1,2,4,6,5] => 00110 => [3,1,2]
[2,2,1,6,3,3] => [3,1,2,5,6,4] => 00100 => [3,3]
[2,2,3,1,3,6] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,2,3,1,6,3] => [4,1,2,3,6,5] => 00010 => [4,2]
[2,2,3,3,1,6] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,2,3,3,6,1] => [6,1,2,3,4,5] => 00000 => [6]
[2,2,3,6,1,3] => [5,1,2,3,6,4] => 00000 => [6]
[2,2,3,6,3,1] => [6,1,2,3,5,4] => 00000 => [6]
[2,2,6,1,3,3] => [4,1,2,5,6,3] => 00000 => [6]
[2,2,6,3,1,3] => [5,1,2,4,6,3] => 00000 => [6]
[2,2,6,3,3,1] => [6,1,2,4,5,3] => 00000 => [6]
[2,3,1,2,3,6] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,3,1,2,6,3] => [3,1,2,4,6,5] => 00110 => [3,1,2]
[2,3,1,3,2,6] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,3,1,3,6,2] => [3,1,2,4,6,5] => 00110 => [3,1,2]
[2,3,1,6,2,3] => [3,1,2,5,6,4] => 00100 => [3,3]
[2,3,1,6,3,2] => [3,1,2,5,6,4] => 00100 => [3,3]
[2,3,2,1,3,6] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,3,2,1,6,3] => [4,1,2,3,6,5] => 00010 => [4,2]
[2,3,2,3,1,6] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,3,2,3,6,1] => [6,1,2,3,4,5] => 00000 => [6]
[2,3,2,6,1,3] => [5,1,2,3,6,4] => 00000 => [6]
[2,3,2,6,3,1] => [6,1,2,3,5,4] => 00000 => [6]
[2,3,3,1,2,6] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,3,3,1,6,2] => [4,1,2,3,6,5] => 00010 => [4,2]
[2,3,3,2,1,6] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,3,3,2,6,1] => [6,1,2,3,4,5] => 00000 => [6]
[2,3,3,6,1,2] => [5,1,2,3,6,4] => 00000 => [6]
[2,3,3,6,2,1] => [6,1,2,3,5,4] => 00000 => [6]
[2,3,6,1,2,3] => [4,1,2,5,6,3] => 00000 => [6]
[2,3,6,1,3,2] => [4,1,2,5,6,3] => 00000 => [6]
[2,3,6,2,1,3] => [5,1,2,4,6,3] => 00000 => [6]
[2,3,6,2,3,1] => [6,1,2,4,5,3] => 00000 => [6]
[2,3,6,3,1,2] => [5,1,2,4,6,3] => 00000 => [6]
[2,3,6,3,2,1] => [6,1,2,4,5,3] => 00000 => [6]
[2,6,1,2,3,3] => [3,1,4,5,6,2] => 00000 => [6]
[2,6,1,3,2,3] => [3,1,4,5,6,2] => 00000 => [6]
[2,6,1,3,3,2] => [3,1,4,5,6,2] => 00000 => [6]
[2,6,2,1,3,3] => [4,1,3,5,6,2] => 00000 => [6]
[2,6,2,3,1,3] => [5,1,3,4,6,2] => 00000 => [6]
[2,6,2,3,3,1] => [6,1,3,4,5,2] => 00000 => [6]
[2,6,3,1,2,3] => [4,1,3,5,6,2] => 00000 => [6]
[2,6,3,1,3,2] => [4,1,3,5,6,2] => 00000 => [6]
[2,6,3,2,1,3] => [5,1,3,4,6,2] => 00000 => [6]
[2,6,3,2,3,1] => [6,1,3,4,5,2] => 00000 => [6]
[2,6,3,3,1,2] => [5,1,3,4,6,2] => 00000 => [6]
[2,6,3,3,2,1] => [6,1,3,4,5,2] => 00000 => [6]
[3,1,2,2,3,6] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,2,2,6,3] => [2,3,1,4,6,5] => 00110 => [3,1,2]
[3,1,2,3,2,6] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,2,3,6,2] => [2,3,1,4,6,5] => 00110 => [3,1,2]
[3,1,2,6,2,3] => [2,3,1,5,6,4] => 00100 => [3,3]
[3,1,2,6,3,2] => [2,3,1,5,6,4] => 00100 => [3,3]
[3,1,3,2,2,6] => [2,4,1,3,5,6] => 00011 => [4,1,1]
[3,1,3,2,6,2] => [2,4,1,3,6,5] => 00010 => [4,2]
[3,1,3,6,2,2] => [2,5,1,3,6,4] => 00000 => [6]
[3,1,6,2,2,3] => [2,4,1,5,6,3] => 00000 => [6]
[3,1,6,2,3,2] => [2,4,1,5,6,3] => 00000 => [6]
[3,1,6,3,2,2] => [2,5,1,4,6,3] => 00000 => [6]
[3,2,1,2,3,6] => [3,2,1,4,5,6] => 00111 => [3,1,1,1]
[3,2,1,2,6,3] => [3,2,1,4,6,5] => 00110 => [3,1,2]
[3,2,1,3,2,6] => [3,2,1,4,5,6] => 00111 => [3,1,1,1]
[3,2,1,3,6,2] => [3,2,1,4,6,5] => 00110 => [3,1,2]
[3,2,1,6,2,3] => [3,2,1,5,6,4] => 00100 => [3,3]
[3,2,1,6,3,2] => [3,2,1,5,6,4] => 00100 => [3,3]
[3,2,2,1,3,6] => [4,2,1,3,5,6] => 00011 => [4,1,1]
[3,2,2,1,6,3] => [4,2,1,3,6,5] => 00010 => [4,2]
[3,2,2,3,1,6] => [5,2,1,3,4,6] => 00001 => [5,1]
[3,2,2,3,6,1] => [6,2,1,3,4,5] => 00000 => [6]
[3,2,2,6,1,3] => [5,2,1,3,6,4] => 00000 => [6]
[3,2,2,6,3,1] => [6,2,1,3,5,4] => 00000 => [6]
[3,2,3,1,2,6] => [4,2,1,3,5,6] => 00011 => [4,1,1]
[3,2,3,1,6,2] => [4,2,1,3,6,5] => 00010 => [4,2]
[3,2,3,2,1,6] => [5,2,1,3,4,6] => 00001 => [5,1]
[3,2,3,2,6,1] => [6,2,1,3,4,5] => 00000 => [6]
[3,2,3,6,1,2] => [5,2,1,3,6,4] => 00000 => [6]
[3,2,3,6,2,1] => [6,2,1,3,5,4] => 00000 => [6]
[3,2,6,1,2,3] => [4,2,1,5,6,3] => 00000 => [6]
[3,2,6,1,3,2] => [4,2,1,5,6,3] => 00000 => [6]
[3,2,6,2,1,3] => [5,2,1,4,6,3] => 00000 => [6]
[3,2,6,2,3,1] => [6,2,1,4,5,3] => 00000 => [6]
[3,2,6,3,1,2] => [5,2,1,4,6,3] => 00000 => [6]
[3,2,6,3,2,1] => [6,2,1,4,5,3] => 00000 => [6]
[3,3,1,2,2,6] => [3,4,1,2,5,6] => 00011 => [4,1,1]
[3,3,1,2,6,2] => [3,4,1,2,6,5] => 00010 => [4,2]
[3,3,1,6,2,2] => [3,5,1,2,6,4] => 00000 => [6]
[3,3,2,1,2,6] => [4,3,1,2,5,6] => 00011 => [4,1,1]
[3,3,2,1,6,2] => [4,3,1,2,6,5] => 00010 => [4,2]
[3,3,2,2,1,6] => [5,3,1,2,4,6] => 00001 => [5,1]
[3,3,2,2,6,1] => [6,3,1,2,4,5] => 00000 => [6]
[3,3,2,6,1,2] => [5,3,1,2,6,4] => 00000 => [6]
[3,3,2,6,2,1] => [6,3,1,2,5,4] => 00000 => [6]
[3,3,6,1,2,2] => [4,5,1,2,6,3] => 00000 => [6]
[3,3,6,2,1,2] => [5,4,1,2,6,3] => 00000 => [6]
[3,3,6,2,2,1] => [6,4,1,2,5,3] => 00000 => [6]
[3,6,1,2,2,3] => [3,4,1,5,6,2] => 00000 => [6]
[3,6,1,2,3,2] => [3,4,1,5,6,2] => 00000 => [6]
[3,6,1,3,2,2] => [3,5,1,4,6,2] => 00000 => [6]
[3,6,2,1,2,3] => [4,3,1,5,6,2] => 00000 => [6]
[3,6,2,1,3,2] => [4,3,1,5,6,2] => 00000 => [6]
[3,6,2,2,1,3] => [5,3,1,4,6,2] => 00000 => [6]
[3,6,2,2,3,1] => [6,3,1,4,5,2] => 00000 => [6]
[3,6,2,3,1,2] => [5,3,1,4,6,2] => 00000 => [6]
[3,6,2,3,2,1] => [6,3,1,4,5,2] => 00000 => [6]
[3,6,3,1,2,2] => [4,5,1,3,6,2] => 00000 => [6]
[3,6,3,2,1,2] => [5,4,1,3,6,2] => 00000 => [6]
[3,6,3,2,2,1] => [6,4,1,3,5,2] => 00000 => [6]
[6,1,2,2,3,3] => [2,3,4,5,6,1] => 00000 => [6]
[6,1,2,3,2,3] => [2,3,4,5,6,1] => 00000 => [6]
[6,1,2,3,3,2] => [2,3,4,5,6,1] => 00000 => [6]
[6,1,3,2,2,3] => [2,4,3,5,6,1] => 00000 => [6]
[6,1,3,2,3,2] => [2,4,3,5,6,1] => 00000 => [6]
[6,1,3,3,2,2] => [2,5,3,4,6,1] => 00000 => [6]
[6,2,1,2,3,3] => [3,2,4,5,6,1] => 00000 => [6]
[6,2,1,3,2,3] => [3,2,4,5,6,1] => 00000 => [6]
[6,2,1,3,3,2] => [3,2,4,5,6,1] => 00000 => [6]
[6,2,2,1,3,3] => [4,2,3,5,6,1] => 00000 => [6]
[6,2,2,3,1,3] => [5,2,3,4,6,1] => 00000 => [6]
[6,2,2,3,3,1] => [6,2,3,4,5,1] => 00000 => [6]
[6,2,3,1,2,3] => [4,2,3,5,6,1] => 00000 => [6]
[6,2,3,1,3,2] => [4,2,3,5,6,1] => 00000 => [6]
[6,2,3,2,1,3] => [5,2,3,4,6,1] => 00000 => [6]
[6,2,3,2,3,1] => [6,2,3,4,5,1] => 00000 => [6]
[6,2,3,3,1,2] => [5,2,3,4,6,1] => 00000 => [6]
[6,2,3,3,2,1] => [6,2,3,4,5,1] => 00000 => [6]
[6,3,1,2,2,3] => [3,4,2,5,6,1] => 00000 => [6]
[6,3,1,2,3,2] => [3,4,2,5,6,1] => 00000 => [6]
[6,3,1,3,2,2] => [3,5,2,4,6,1] => 00000 => [6]
[6,3,2,1,2,3] => [4,3,2,5,6,1] => 00000 => [6]
[6,3,2,1,3,2] => [4,3,2,5,6,1] => 00000 => [6]
[6,3,2,2,1,3] => [5,3,2,4,6,1] => 00000 => [6]
[6,3,2,2,3,1] => [6,3,2,4,5,1] => 00000 => [6]
[6,3,2,3,1,2] => [5,3,2,4,6,1] => 00000 => [6]
[6,3,2,3,2,1] => [6,3,2,4,5,1] => 00000 => [6]
[6,3,3,1,2,2] => [4,5,2,3,6,1] => 00000 => [6]
[6,3,3,2,1,2] => [5,4,2,3,6,1] => 00000 => [6]
[6,3,3,2,2,1] => [6,4,2,3,5,1] => 00000 => [6]
[1,2,2,3,4,4] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,2,4,3,4] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,2,4,4,3] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,3,2,4,4] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,3,4,2,4] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,3,4,4,2] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,4,2,3,4] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,2,4,2,4,3] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,2,4,3,2,4] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,2,4,3,4,2] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,2,4,4,2,3] => [1,2,5,3,4,6] => 11001 => [1,1,3,1]
[1,2,4,4,3,2] => [1,2,5,3,4,6] => 11001 => [1,1,3,1]
[1,3,2,2,4,4] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,2,4,2,4] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,2,4,4,2] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,4,2,2,4] => [1,4,2,3,5,6] => 10011 => [1,3,1,1]
[1,3,4,2,4,2] => [1,4,2,3,5,6] => 10011 => [1,3,1,1]
[1,3,4,4,2,2] => [1,5,2,3,4,6] => 10001 => [1,4,1]
[1,4,2,2,3,4] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,2,2,4,3] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,2,3,2,4] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,2,3,4,2] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,2,4,2,3] => [1,3,5,2,4,6] => 10001 => [1,4,1]
[1,4,2,4,3,2] => [1,3,5,2,4,6] => 10001 => [1,4,1]
[1,4,3,2,2,4] => [1,4,3,2,5,6] => 10011 => [1,3,1,1]
[1,4,3,2,4,2] => [1,4,3,2,5,6] => 10011 => [1,3,1,1]
[1,4,3,4,2,2] => [1,5,3,2,4,6] => 10001 => [1,4,1]
[1,4,4,2,2,3] => [1,4,5,2,3,6] => 10001 => [1,4,1]
[1,4,4,2,3,2] => [1,4,5,2,3,6] => 10001 => [1,4,1]
[1,4,4,3,2,2] => [1,5,4,2,3,6] => 10001 => [1,4,1]
[2,1,2,3,4,4] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,2,4,3,4] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,2,4,4,3] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,3,2,4,4] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,3,4,2,4] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,3,4,4,2] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,4,2,3,4] => [2,1,4,3,5,6] => 01011 => [2,2,1,1]
[2,1,4,2,4,3] => [2,1,4,3,5,6] => 01011 => [2,2,1,1]
[2,1,4,3,2,4] => [2,1,4,3,5,6] => 01011 => [2,2,1,1]
[2,1,4,3,4,2] => [2,1,4,3,5,6] => 01011 => [2,2,1,1]
[2,1,4,4,2,3] => [2,1,5,3,4,6] => 01001 => [2,3,1]
[2,1,4,4,3,2] => [2,1,5,3,4,6] => 01001 => [2,3,1]
[2,2,1,3,4,4] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,2,1,4,3,4] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,2,1,4,4,3] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,2,3,1,4,4] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,2,3,4,1,4] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,2,3,4,4,1] => [6,1,2,3,4,5] => 00000 => [6]
[2,2,4,1,3,4] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,2,4,1,4,3] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,2,4,3,1,4] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,2,4,3,4,1] => [6,1,2,3,4,5] => 00000 => [6]
[2,2,4,4,1,3] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,2,4,4,3,1] => [6,1,2,3,4,5] => 00000 => [6]
[2,3,1,2,4,4] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,3,1,4,2,4] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,3,1,4,4,2] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,3,2,1,4,4] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,3,2,4,1,4] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,3,2,4,4,1] => [6,1,2,3,4,5] => 00000 => [6]
[2,3,4,1,2,4] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,3,4,1,4,2] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,3,4,2,1,4] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,3,4,2,4,1] => [6,1,2,3,4,5] => 00000 => [6]
[2,3,4,4,1,2] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,3,4,4,2,1] => [6,1,2,3,4,5] => 00000 => [6]
[2,4,1,2,3,4] => [3,1,4,2,5,6] => 00011 => [4,1,1]
[2,4,1,2,4,3] => [3,1,4,2,5,6] => 00011 => [4,1,1]
[2,4,1,3,2,4] => [3,1,4,2,5,6] => 00011 => [4,1,1]
[2,4,1,3,4,2] => [3,1,4,2,5,6] => 00011 => [4,1,1]
[2,4,1,4,2,3] => [3,1,5,2,4,6] => 00001 => [5,1]
[2,4,1,4,3,2] => [3,1,5,2,4,6] => 00001 => [5,1]
[2,4,2,1,3,4] => [4,1,3,2,5,6] => 00011 => [4,1,1]
[2,4,2,1,4,3] => [4,1,3,2,5,6] => 00011 => [4,1,1]
[2,4,2,3,1,4] => [5,1,3,2,4,6] => 00001 => [5,1]
[2,4,2,3,4,1] => [6,1,3,2,4,5] => 00000 => [6]
[2,4,2,4,1,3] => [5,1,3,2,4,6] => 00001 => [5,1]
[2,4,2,4,3,1] => [6,1,3,2,4,5] => 00000 => [6]
[2,4,3,1,2,4] => [4,1,3,2,5,6] => 00011 => [4,1,1]
[2,4,3,1,4,2] => [4,1,3,2,5,6] => 00011 => [4,1,1]
[2,4,3,2,1,4] => [5,1,3,2,4,6] => 00001 => [5,1]
[2,4,3,2,4,1] => [6,1,3,2,4,5] => 00000 => [6]
[2,4,3,4,1,2] => [5,1,3,2,4,6] => 00001 => [5,1]
[2,4,3,4,2,1] => [6,1,3,2,4,5] => 00000 => [6]
[2,4,4,1,2,3] => [4,1,5,2,3,6] => 00001 => [5,1]
[2,4,4,1,3,2] => [4,1,5,2,3,6] => 00001 => [5,1]
[2,4,4,2,1,3] => [5,1,4,2,3,6] => 00001 => [5,1]
[2,4,4,2,3,1] => [6,1,4,2,3,5] => 00000 => [6]
[2,4,4,3,1,2] => [5,1,4,2,3,6] => 00001 => [5,1]
[2,4,4,3,2,1] => [6,1,4,2,3,5] => 00000 => [6]
[3,1,2,2,4,4] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,2,4,2,4] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,2,4,4,2] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,4,2,2,4] => [2,4,1,3,5,6] => 00011 => [4,1,1]
[3,1,4,2,4,2] => [2,4,1,3,5,6] => 00011 => [4,1,1]
[3,1,4,4,2,2] => [2,5,1,3,4,6] => 00001 => [5,1]
[3,2,1,2,4,4] => [3,2,1,4,5,6] => 00111 => [3,1,1,1]
[3,2,1,4,2,4] => [3,2,1,4,5,6] => 00111 => [3,1,1,1]
[3,2,1,4,4,2] => [3,2,1,4,5,6] => 00111 => [3,1,1,1]
[3,2,2,1,4,4] => [4,2,1,3,5,6] => 00011 => [4,1,1]
[3,2,2,4,1,4] => [5,2,1,3,4,6] => 00001 => [5,1]
[3,2,2,4,4,1] => [6,2,1,3,4,5] => 00000 => [6]
[3,2,4,1,2,4] => [4,2,1,3,5,6] => 00011 => [4,1,1]
[3,2,4,1,4,2] => [4,2,1,3,5,6] => 00011 => [4,1,1]
[3,2,4,2,1,4] => [5,2,1,3,4,6] => 00001 => [5,1]
[3,2,4,2,4,1] => [6,2,1,3,4,5] => 00000 => [6]
[3,2,4,4,1,2] => [5,2,1,3,4,6] => 00001 => [5,1]
[3,2,4,4,2,1] => [6,2,1,3,4,5] => 00000 => [6]
[3,4,1,2,2,4] => [3,4,1,2,5,6] => 00011 => [4,1,1]
[3,4,1,2,4,2] => [3,4,1,2,5,6] => 00011 => [4,1,1]
[3,4,1,4,2,2] => [3,5,1,2,4,6] => 00001 => [5,1]
[3,4,2,1,2,4] => [4,3,1,2,5,6] => 00011 => [4,1,1]
[3,4,2,1,4,2] => [4,3,1,2,5,6] => 00011 => [4,1,1]
[3,4,2,2,1,4] => [5,3,1,2,4,6] => 00001 => [5,1]
[3,4,2,2,4,1] => [6,3,1,2,4,5] => 00000 => [6]
[3,4,2,4,1,2] => [5,3,1,2,4,6] => 00001 => [5,1]
[3,4,2,4,2,1] => [6,3,1,2,4,5] => 00000 => [6]
[3,4,4,1,2,2] => [4,5,1,2,3,6] => 00001 => [5,1]
[3,4,4,2,1,2] => [5,4,1,2,3,6] => 00001 => [5,1]
[3,4,4,2,2,1] => [6,4,1,2,3,5] => 00000 => [6]
[4,1,2,2,3,4] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,2,2,4,3] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,2,3,2,4] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,2,3,4,2] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,2,4,2,3] => [2,3,5,1,4,6] => 00001 => [5,1]
[4,1,2,4,3,2] => [2,3,5,1,4,6] => 00001 => [5,1]
[4,1,3,2,2,4] => [2,4,3,1,5,6] => 00011 => [4,1,1]
[4,1,3,2,4,2] => [2,4,3,1,5,6] => 00011 => [4,1,1]
[4,1,3,4,2,2] => [2,5,3,1,4,6] => 00001 => [5,1]
[4,1,4,2,2,3] => [2,4,5,1,3,6] => 00001 => [5,1]
[4,1,4,2,3,2] => [2,4,5,1,3,6] => 00001 => [5,1]
[4,1,4,3,2,2] => [2,5,4,1,3,6] => 00001 => [5,1]
[4,2,1,2,3,4] => [3,2,4,1,5,6] => 00011 => [4,1,1]
[4,2,1,2,4,3] => [3,2,4,1,5,6] => 00011 => [4,1,1]
[4,2,1,3,2,4] => [3,2,4,1,5,6] => 00011 => [4,1,1]
[4,2,1,3,4,2] => [3,2,4,1,5,6] => 00011 => [4,1,1]
[4,2,1,4,2,3] => [3,2,5,1,4,6] => 00001 => [5,1]
[4,2,1,4,3,2] => [3,2,5,1,4,6] => 00001 => [5,1]
[4,2,2,1,3,4] => [4,2,3,1,5,6] => 00011 => [4,1,1]
[4,2,2,1,4,3] => [4,2,3,1,5,6] => 00011 => [4,1,1]
[4,2,2,3,1,4] => [5,2,3,1,4,6] => 00001 => [5,1]
[4,2,2,3,4,1] => [6,2,3,1,4,5] => 00000 => [6]
[4,2,2,4,1,3] => [5,2,3,1,4,6] => 00001 => [5,1]
[4,2,2,4,3,1] => [6,2,3,1,4,5] => 00000 => [6]
[4,2,3,1,2,4] => [4,2,3,1,5,6] => 00011 => [4,1,1]
[4,2,3,1,4,2] => [4,2,3,1,5,6] => 00011 => [4,1,1]
[4,2,3,2,1,4] => [5,2,3,1,4,6] => 00001 => [5,1]
[4,2,3,2,4,1] => [6,2,3,1,4,5] => 00000 => [6]
[4,2,3,4,1,2] => [5,2,3,1,4,6] => 00001 => [5,1]
[4,2,3,4,2,1] => [6,2,3,1,4,5] => 00000 => [6]
[4,2,4,1,2,3] => [4,2,5,1,3,6] => 00001 => [5,1]
[4,2,4,1,3,2] => [4,2,5,1,3,6] => 00001 => [5,1]
[4,2,4,2,1,3] => [5,2,4,1,3,6] => 00001 => [5,1]
[4,2,4,2,3,1] => [6,2,4,1,3,5] => 00000 => [6]
[4,2,4,3,1,2] => [5,2,4,1,3,6] => 00001 => [5,1]
[4,2,4,3,2,1] => [6,2,4,1,3,5] => 00000 => [6]
[4,3,1,2,2,4] => [3,4,2,1,5,6] => 00011 => [4,1,1]
[4,3,1,2,4,2] => [3,4,2,1,5,6] => 00011 => [4,1,1]
[4,3,1,4,2,2] => [3,5,2,1,4,6] => 00001 => [5,1]
[4,3,2,1,2,4] => [4,3,2,1,5,6] => 00011 => [4,1,1]
[4,3,2,1,4,2] => [4,3,2,1,5,6] => 00011 => [4,1,1]
[4,3,2,2,1,4] => [5,3,2,1,4,6] => 00001 => [5,1]
[4,3,2,2,4,1] => [6,3,2,1,4,5] => 00000 => [6]
[4,3,2,4,1,2] => [5,3,2,1,4,6] => 00001 => [5,1]
[4,3,2,4,2,1] => [6,3,2,1,4,5] => 00000 => [6]
[4,3,4,1,2,2] => [4,5,2,1,3,6] => 00001 => [5,1]
[4,3,4,2,1,2] => [5,4,2,1,3,6] => 00001 => [5,1]
[4,3,4,2,2,1] => [6,4,2,1,3,5] => 00000 => [6]
[4,4,1,2,2,3] => [3,4,5,1,2,6] => 00001 => [5,1]
[4,4,1,2,3,2] => [3,4,5,1,2,6] => 00001 => [5,1]
[4,4,1,3,2,2] => [3,5,4,1,2,6] => 00001 => [5,1]
[4,4,2,1,2,3] => [4,3,5,1,2,6] => 00001 => [5,1]
[4,4,2,1,3,2] => [4,3,5,1,2,6] => 00001 => [5,1]
[4,4,2,2,1,3] => [5,3,4,1,2,6] => 00001 => [5,1]
[4,4,2,2,3,1] => [6,3,4,1,2,5] => 00000 => [6]
[4,4,2,3,1,2] => [5,3,4,1,2,6] => 00001 => [5,1]
[4,4,2,3,2,1] => [6,3,4,1,2,5] => 00000 => [6]
[4,4,3,1,2,2] => [4,5,3,1,2,6] => 00001 => [5,1]
[4,4,3,2,1,2] => [5,4,3,1,2,6] => 00001 => [5,1]
[4,4,3,2,2,1] => [6,4,3,1,2,5] => 00000 => [6]
[1,2,2,3,4,5] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,2,3,5,4] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,2,4,3,5] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,2,4,5,3] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,2,5,3,4] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,2,2,5,4,3] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,2,3,2,4,5] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,3,2,5,4] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,3,4,2,5] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,3,4,5,2] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,3,5,2,4] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,2,3,5,4,2] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,2,4,2,3,5] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,2,4,2,5,3] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,2,4,3,2,5] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,2,4,3,5,2] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,2,4,5,2,3] => [1,2,5,3,4,6] => 11001 => [1,1,3,1]
[1,2,4,5,3,2] => [1,2,5,3,4,6] => 11001 => [1,1,3,1]
[1,2,5,2,3,4] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,2,5,2,4,3] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,2,5,3,2,4] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,2,5,3,4,2] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,2,5,4,2,3] => [1,2,5,4,3,6] => 11001 => [1,1,3,1]
[1,2,5,4,3,2] => [1,2,5,4,3,6] => 11001 => [1,1,3,1]
[1,3,2,2,4,5] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,2,2,5,4] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,2,4,2,5] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,2,4,5,2] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,2,5,2,4] => [1,3,2,5,4,6] => 10101 => [1,2,2,1]
[1,3,2,5,4,2] => [1,3,2,5,4,6] => 10101 => [1,2,2,1]
[1,3,4,2,2,5] => [1,4,2,3,5,6] => 10011 => [1,3,1,1]
[1,3,4,2,5,2] => [1,4,2,3,5,6] => 10011 => [1,3,1,1]
[1,3,4,5,2,2] => [1,5,2,3,4,6] => 10001 => [1,4,1]
[1,3,5,2,2,4] => [1,4,2,5,3,6] => 10001 => [1,4,1]
[1,3,5,2,4,2] => [1,4,2,5,3,6] => 10001 => [1,4,1]
[1,3,5,4,2,2] => [1,5,2,4,3,6] => 10001 => [1,4,1]
[1,4,2,2,3,5] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,2,2,5,3] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,2,3,2,5] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,2,3,5,2] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,2,5,2,3] => [1,3,5,2,4,6] => 10001 => [1,4,1]
[1,4,2,5,3,2] => [1,3,5,2,4,6] => 10001 => [1,4,1]
[1,4,3,2,2,5] => [1,4,3,2,5,6] => 10011 => [1,3,1,1]
[1,4,3,2,5,2] => [1,4,3,2,5,6] => 10011 => [1,3,1,1]
[1,4,3,5,2,2] => [1,5,3,2,4,6] => 10001 => [1,4,1]
[1,4,5,2,2,3] => [1,4,5,2,3,6] => 10001 => [1,4,1]
[1,4,5,2,3,2] => [1,4,5,2,3,6] => 10001 => [1,4,1]
[1,4,5,3,2,2] => [1,5,4,2,3,6] => 10001 => [1,4,1]
[1,5,2,2,3,4] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,2,2,4,3] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,2,3,2,4] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,2,3,4,2] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,2,4,2,3] => [1,3,5,4,2,6] => 10001 => [1,4,1]
[1,5,2,4,3,2] => [1,3,5,4,2,6] => 10001 => [1,4,1]
[1,5,3,2,2,4] => [1,4,3,5,2,6] => 10001 => [1,4,1]
[1,5,3,2,4,2] => [1,4,3,5,2,6] => 10001 => [1,4,1]
[1,5,3,4,2,2] => [1,5,3,4,2,6] => 10001 => [1,4,1]
[1,5,4,2,2,3] => [1,4,5,3,2,6] => 10001 => [1,4,1]
[1,5,4,2,3,2] => [1,4,5,3,2,6] => 10001 => [1,4,1]
[1,5,4,3,2,2] => [1,5,4,3,2,6] => 10001 => [1,4,1]
[2,1,2,3,4,5] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,2,3,5,4] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,2,4,3,5] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,2,4,5,3] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,2,5,3,4] => [2,1,3,5,4,6] => 01101 => [2,1,2,1]
[2,1,2,5,4,3] => [2,1,3,5,4,6] => 01101 => [2,1,2,1]
[2,1,3,2,4,5] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,3,2,5,4] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,3,4,2,5] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,3,4,5,2] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,3,5,2,4] => [2,1,3,5,4,6] => 01101 => [2,1,2,1]
[2,1,3,5,4,2] => [2,1,3,5,4,6] => 01101 => [2,1,2,1]
[2,1,4,2,3,5] => [2,1,4,3,5,6] => 01011 => [2,2,1,1]
[2,1,4,2,5,3] => [2,1,4,3,5,6] => 01011 => [2,2,1,1]
[2,1,4,3,2,5] => [2,1,4,3,5,6] => 01011 => [2,2,1,1]
[2,1,4,3,5,2] => [2,1,4,3,5,6] => 01011 => [2,2,1,1]
[2,1,4,5,2,3] => [2,1,5,3,4,6] => 01001 => [2,3,1]
[2,1,4,5,3,2] => [2,1,5,3,4,6] => 01001 => [2,3,1]
[2,1,5,2,3,4] => [2,1,4,5,3,6] => 01001 => [2,3,1]
[2,1,5,2,4,3] => [2,1,4,5,3,6] => 01001 => [2,3,1]
[2,1,5,3,2,4] => [2,1,4,5,3,6] => 01001 => [2,3,1]
[2,1,5,3,4,2] => [2,1,4,5,3,6] => 01001 => [2,3,1]
[2,1,5,4,2,3] => [2,1,5,4,3,6] => 01001 => [2,3,1]
[2,1,5,4,3,2] => [2,1,5,4,3,6] => 01001 => [2,3,1]
[2,2,1,3,4,5] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,2,1,3,5,4] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,2,1,4,3,5] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,2,1,4,5,3] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,2,1,5,3,4] => [3,1,2,5,4,6] => 00101 => [3,2,1]
[2,2,1,5,4,3] => [3,1,2,5,4,6] => 00101 => [3,2,1]
[2,2,3,1,4,5] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,2,3,1,5,4] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,2,3,4,1,5] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,2,3,4,5,1] => [6,1,2,3,4,5] => 00000 => [6]
[2,2,3,5,1,4] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,2,3,5,4,1] => [6,1,2,3,4,5] => 00000 => [6]
[2,2,4,1,3,5] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,2,4,1,5,3] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,2,4,3,1,5] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,2,4,3,5,1] => [6,1,2,3,4,5] => 00000 => [6]
[2,2,4,5,1,3] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,2,4,5,3,1] => [6,1,2,3,4,5] => 00000 => [6]
[2,2,5,1,3,4] => [4,1,2,5,3,6] => 00001 => [5,1]
[2,2,5,1,4,3] => [4,1,2,5,3,6] => 00001 => [5,1]
[2,2,5,3,1,4] => [5,1,2,4,3,6] => 00001 => [5,1]
[2,2,5,3,4,1] => [6,1,2,4,3,5] => 00000 => [6]
[2,2,5,4,1,3] => [5,1,2,4,3,6] => 00001 => [5,1]
[2,2,5,4,3,1] => [6,1,2,4,3,5] => 00000 => [6]
[2,3,1,2,4,5] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,3,1,2,5,4] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,3,1,4,2,5] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,3,1,4,5,2] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,3,1,5,2,4] => [3,1,2,5,4,6] => 00101 => [3,2,1]
[2,3,1,5,4,2] => [3,1,2,5,4,6] => 00101 => [3,2,1]
[2,3,2,1,4,5] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,3,2,1,5,4] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,3,2,4,1,5] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,3,2,4,5,1] => [6,1,2,3,4,5] => 00000 => [6]
[2,3,2,5,1,4] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,3,2,5,4,1] => [6,1,2,3,4,5] => 00000 => [6]
[2,3,4,1,2,5] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,3,4,1,5,2] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,3,4,2,1,5] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,3,4,2,5,1] => [6,1,2,3,4,5] => 00000 => [6]
[2,3,4,5,1,2] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,3,4,5,2,1] => [6,1,2,3,4,5] => 00000 => [6]
[2,3,5,1,2,4] => [4,1,2,5,3,6] => 00001 => [5,1]
[2,3,5,1,4,2] => [4,1,2,5,3,6] => 00001 => [5,1]
[2,3,5,2,1,4] => [5,1,2,4,3,6] => 00001 => [5,1]
[2,3,5,2,4,1] => [6,1,2,4,3,5] => 00000 => [6]
[2,3,5,4,1,2] => [5,1,2,4,3,6] => 00001 => [5,1]
[2,3,5,4,2,1] => [6,1,2,4,3,5] => 00000 => [6]
[2,4,1,2,3,5] => [3,1,4,2,5,6] => 00011 => [4,1,1]
[2,4,1,2,5,3] => [3,1,4,2,5,6] => 00011 => [4,1,1]
[2,4,1,3,2,5] => [3,1,4,2,5,6] => 00011 => [4,1,1]
[2,4,1,3,5,2] => [3,1,4,2,5,6] => 00011 => [4,1,1]
[2,4,1,5,2,3] => [3,1,5,2,4,6] => 00001 => [5,1]
[2,4,1,5,3,2] => [3,1,5,2,4,6] => 00001 => [5,1]
[2,4,2,1,3,5] => [4,1,3,2,5,6] => 00011 => [4,1,1]
[2,4,2,1,5,3] => [4,1,3,2,5,6] => 00011 => [4,1,1]
[2,4,2,3,1,5] => [5,1,3,2,4,6] => 00001 => [5,1]
[2,4,2,3,5,1] => [6,1,3,2,4,5] => 00000 => [6]
[2,4,2,5,1,3] => [5,1,3,2,4,6] => 00001 => [5,1]
[2,4,2,5,3,1] => [6,1,3,2,4,5] => 00000 => [6]
[2,4,3,1,2,5] => [4,1,3,2,5,6] => 00011 => [4,1,1]
[2,4,3,1,5,2] => [4,1,3,2,5,6] => 00011 => [4,1,1]
[2,4,3,2,1,5] => [5,1,3,2,4,6] => 00001 => [5,1]
[2,4,3,2,5,1] => [6,1,3,2,4,5] => 00000 => [6]
[2,4,3,5,1,2] => [5,1,3,2,4,6] => 00001 => [5,1]
[2,4,3,5,2,1] => [6,1,3,2,4,5] => 00000 => [6]
[2,4,5,1,2,3] => [4,1,5,2,3,6] => 00001 => [5,1]
[2,4,5,1,3,2] => [4,1,5,2,3,6] => 00001 => [5,1]
[2,4,5,2,1,3] => [5,1,4,2,3,6] => 00001 => [5,1]
[2,4,5,2,3,1] => [6,1,4,2,3,5] => 00000 => [6]
[2,4,5,3,1,2] => [5,1,4,2,3,6] => 00001 => [5,1]
[2,4,5,3,2,1] => [6,1,4,2,3,5] => 00000 => [6]
[2,5,1,2,3,4] => [3,1,4,5,2,6] => 00001 => [5,1]
[2,5,1,2,4,3] => [3,1,4,5,2,6] => 00001 => [5,1]
[2,5,1,3,2,4] => [3,1,4,5,2,6] => 00001 => [5,1]
[2,5,1,3,4,2] => [3,1,4,5,2,6] => 00001 => [5,1]
[2,5,1,4,2,3] => [3,1,5,4,2,6] => 00001 => [5,1]
[2,5,1,4,3,2] => [3,1,5,4,2,6] => 00001 => [5,1]
[2,5,2,1,3,4] => [4,1,3,5,2,6] => 00001 => [5,1]
[2,5,2,1,4,3] => [4,1,3,5,2,6] => 00001 => [5,1]
[2,5,2,3,1,4] => [5,1,3,4,2,6] => 00001 => [5,1]
[2,5,2,3,4,1] => [6,1,3,4,2,5] => 00000 => [6]
[2,5,2,4,1,3] => [5,1,3,4,2,6] => 00001 => [5,1]
[2,5,2,4,3,1] => [6,1,3,4,2,5] => 00000 => [6]
[2,5,3,1,2,4] => [4,1,3,5,2,6] => 00001 => [5,1]
[2,5,3,1,4,2] => [4,1,3,5,2,6] => 00001 => [5,1]
[2,5,3,2,1,4] => [5,1,3,4,2,6] => 00001 => [5,1]
[2,5,3,2,4,1] => [6,1,3,4,2,5] => 00000 => [6]
[2,5,3,4,1,2] => [5,1,3,4,2,6] => 00001 => [5,1]
[2,5,3,4,2,1] => [6,1,3,4,2,5] => 00000 => [6]
[2,5,4,1,2,3] => [4,1,5,3,2,6] => 00001 => [5,1]
[2,5,4,1,3,2] => [4,1,5,3,2,6] => 00001 => [5,1]
[2,5,4,2,1,3] => [5,1,4,3,2,6] => 00001 => [5,1]
[2,5,4,2,3,1] => [6,1,4,3,2,5] => 00000 => [6]
[2,5,4,3,1,2] => [5,1,4,3,2,6] => 00001 => [5,1]
[2,5,4,3,2,1] => [6,1,4,3,2,5] => 00000 => [6]
[3,1,2,2,4,5] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,2,2,5,4] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,2,4,2,5] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,2,4,5,2] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,2,5,2,4] => [2,3,1,5,4,6] => 00101 => [3,2,1]
[3,1,2,5,4,2] => [2,3,1,5,4,6] => 00101 => [3,2,1]
[3,1,4,2,2,5] => [2,4,1,3,5,6] => 00011 => [4,1,1]
[3,1,4,2,5,2] => [2,4,1,3,5,6] => 00011 => [4,1,1]
[3,1,4,5,2,2] => [2,5,1,3,4,6] => 00001 => [5,1]
[3,1,5,2,2,4] => [2,4,1,5,3,6] => 00001 => [5,1]
[3,1,5,2,4,2] => [2,4,1,5,3,6] => 00001 => [5,1]
[3,1,5,4,2,2] => [2,5,1,4,3,6] => 00001 => [5,1]
[3,2,1,2,4,5] => [3,2,1,4,5,6] => 00111 => [3,1,1,1]
[3,2,1,2,5,4] => [3,2,1,4,5,6] => 00111 => [3,1,1,1]
[3,2,1,4,2,5] => [3,2,1,4,5,6] => 00111 => [3,1,1,1]
[3,2,1,4,5,2] => [3,2,1,4,5,6] => 00111 => [3,1,1,1]
[3,2,1,5,2,4] => [3,2,1,5,4,6] => 00101 => [3,2,1]
[3,2,1,5,4,2] => [3,2,1,5,4,6] => 00101 => [3,2,1]
[3,2,2,1,4,5] => [4,2,1,3,5,6] => 00011 => [4,1,1]
[3,2,2,1,5,4] => [4,2,1,3,5,6] => 00011 => [4,1,1]
[3,2,2,4,1,5] => [5,2,1,3,4,6] => 00001 => [5,1]
[3,2,2,4,5,1] => [6,2,1,3,4,5] => 00000 => [6]
[3,2,2,5,1,4] => [5,2,1,3,4,6] => 00001 => [5,1]
[3,2,2,5,4,1] => [6,2,1,3,4,5] => 00000 => [6]
[3,2,4,1,2,5] => [4,2,1,3,5,6] => 00011 => [4,1,1]
[3,2,4,1,5,2] => [4,2,1,3,5,6] => 00011 => [4,1,1]
[3,2,4,2,1,5] => [5,2,1,3,4,6] => 00001 => [5,1]
[3,2,4,2,5,1] => [6,2,1,3,4,5] => 00000 => [6]
[3,2,4,5,1,2] => [5,2,1,3,4,6] => 00001 => [5,1]
[3,2,4,5,2,1] => [6,2,1,3,4,5] => 00000 => [6]
[3,2,5,1,2,4] => [4,2,1,5,3,6] => 00001 => [5,1]
[3,2,5,1,4,2] => [4,2,1,5,3,6] => 00001 => [5,1]
[3,2,5,2,1,4] => [5,2,1,4,3,6] => 00001 => [5,1]
[3,2,5,2,4,1] => [6,2,1,4,3,5] => 00000 => [6]
[3,2,5,4,1,2] => [5,2,1,4,3,6] => 00001 => [5,1]
[3,2,5,4,2,1] => [6,2,1,4,3,5] => 00000 => [6]
[3,4,1,2,2,5] => [3,4,1,2,5,6] => 00011 => [4,1,1]
[3,4,1,2,5,2] => [3,4,1,2,5,6] => 00011 => [4,1,1]
[3,4,1,5,2,2] => [3,5,1,2,4,6] => 00001 => [5,1]
[3,4,2,1,2,5] => [4,3,1,2,5,6] => 00011 => [4,1,1]
[3,4,2,1,5,2] => [4,3,1,2,5,6] => 00011 => [4,1,1]
[3,4,2,2,1,5] => [5,3,1,2,4,6] => 00001 => [5,1]
[3,4,2,2,5,1] => [6,3,1,2,4,5] => 00000 => [6]
[3,4,2,5,1,2] => [5,3,1,2,4,6] => 00001 => [5,1]
[3,4,2,5,2,1] => [6,3,1,2,4,5] => 00000 => [6]
[3,4,5,1,2,2] => [4,5,1,2,3,6] => 00001 => [5,1]
[3,4,5,2,1,2] => [5,4,1,2,3,6] => 00001 => [5,1]
[3,4,5,2,2,1] => [6,4,1,2,3,5] => 00000 => [6]
[3,5,1,2,2,4] => [3,4,1,5,2,6] => 00001 => [5,1]
[3,5,1,2,4,2] => [3,4,1,5,2,6] => 00001 => [5,1]
[3,5,1,4,2,2] => [3,5,1,4,2,6] => 00001 => [5,1]
[3,5,2,1,2,4] => [4,3,1,5,2,6] => 00001 => [5,1]
[3,5,2,1,4,2] => [4,3,1,5,2,6] => 00001 => [5,1]
[3,5,2,2,1,4] => [5,3,1,4,2,6] => 00001 => [5,1]
[3,5,2,2,4,1] => [6,3,1,4,2,5] => 00000 => [6]
[3,5,2,4,1,2] => [5,3,1,4,2,6] => 00001 => [5,1]
[3,5,2,4,2,1] => [6,3,1,4,2,5] => 00000 => [6]
[3,5,4,1,2,2] => [4,5,1,3,2,6] => 00001 => [5,1]
[3,5,4,2,1,2] => [5,4,1,3,2,6] => 00001 => [5,1]
[3,5,4,2,2,1] => [6,4,1,3,2,5] => 00000 => [6]
[4,1,2,2,3,5] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,2,2,5,3] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,2,3,2,5] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,2,3,5,2] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,2,5,2,3] => [2,3,5,1,4,6] => 00001 => [5,1]
[4,1,2,5,3,2] => [2,3,5,1,4,6] => 00001 => [5,1]
[4,1,3,2,2,5] => [2,4,3,1,5,6] => 00011 => [4,1,1]
[4,1,3,2,5,2] => [2,4,3,1,5,6] => 00011 => [4,1,1]
[4,1,3,5,2,2] => [2,5,3,1,4,6] => 00001 => [5,1]
[4,1,5,2,2,3] => [2,4,5,1,3,6] => 00001 => [5,1]
[4,1,5,2,3,2] => [2,4,5,1,3,6] => 00001 => [5,1]
[4,1,5,3,2,2] => [2,5,4,1,3,6] => 00001 => [5,1]
[4,2,1,2,3,5] => [3,2,4,1,5,6] => 00011 => [4,1,1]
[4,2,1,2,5,3] => [3,2,4,1,5,6] => 00011 => [4,1,1]
[4,2,1,3,2,5] => [3,2,4,1,5,6] => 00011 => [4,1,1]
[4,2,1,3,5,2] => [3,2,4,1,5,6] => 00011 => [4,1,1]
[4,2,1,5,2,3] => [3,2,5,1,4,6] => 00001 => [5,1]
[4,2,1,5,3,2] => [3,2,5,1,4,6] => 00001 => [5,1]
[4,2,2,1,3,5] => [4,2,3,1,5,6] => 00011 => [4,1,1]
[4,2,2,1,5,3] => [4,2,3,1,5,6] => 00011 => [4,1,1]
[4,2,2,3,1,5] => [5,2,3,1,4,6] => 00001 => [5,1]
[4,2,2,3,5,1] => [6,2,3,1,4,5] => 00000 => [6]
[4,2,2,5,1,3] => [5,2,3,1,4,6] => 00001 => [5,1]
[4,2,2,5,3,1] => [6,2,3,1,4,5] => 00000 => [6]
[4,2,3,1,2,5] => [4,2,3,1,5,6] => 00011 => [4,1,1]
[4,2,3,1,5,2] => [4,2,3,1,5,6] => 00011 => [4,1,1]
[4,2,3,2,1,5] => [5,2,3,1,4,6] => 00001 => [5,1]
[4,2,3,2,5,1] => [6,2,3,1,4,5] => 00000 => [6]
[4,2,3,5,1,2] => [5,2,3,1,4,6] => 00001 => [5,1]
[4,2,3,5,2,1] => [6,2,3,1,4,5] => 00000 => [6]
[4,2,5,1,2,3] => [4,2,5,1,3,6] => 00001 => [5,1]
[4,2,5,1,3,2] => [4,2,5,1,3,6] => 00001 => [5,1]
[4,2,5,2,1,3] => [5,2,4,1,3,6] => 00001 => [5,1]
[4,2,5,2,3,1] => [6,2,4,1,3,5] => 00000 => [6]
[4,2,5,3,1,2] => [5,2,4,1,3,6] => 00001 => [5,1]
[4,2,5,3,2,1] => [6,2,4,1,3,5] => 00000 => [6]
[4,3,1,2,2,5] => [3,4,2,1,5,6] => 00011 => [4,1,1]
[4,3,1,2,5,2] => [3,4,2,1,5,6] => 00011 => [4,1,1]
[4,3,1,5,2,2] => [3,5,2,1,4,6] => 00001 => [5,1]
[4,3,2,1,2,5] => [4,3,2,1,5,6] => 00011 => [4,1,1]
[4,3,2,1,5,2] => [4,3,2,1,5,6] => 00011 => [4,1,1]
[4,3,2,2,1,5] => [5,3,2,1,4,6] => 00001 => [5,1]
[4,3,2,2,5,1] => [6,3,2,1,4,5] => 00000 => [6]
[4,3,2,5,1,2] => [5,3,2,1,4,6] => 00001 => [5,1]
[4,3,2,5,2,1] => [6,3,2,1,4,5] => 00000 => [6]
[4,3,5,1,2,2] => [4,5,2,1,3,6] => 00001 => [5,1]
[4,3,5,2,1,2] => [5,4,2,1,3,6] => 00001 => [5,1]
[4,3,5,2,2,1] => [6,4,2,1,3,5] => 00000 => [6]
[4,5,1,2,2,3] => [3,4,5,1,2,6] => 00001 => [5,1]
[4,5,1,2,3,2] => [3,4,5,1,2,6] => 00001 => [5,1]
[4,5,1,3,2,2] => [3,5,4,1,2,6] => 00001 => [5,1]
[4,5,2,1,2,3] => [4,3,5,1,2,6] => 00001 => [5,1]
[4,5,2,1,3,2] => [4,3,5,1,2,6] => 00001 => [5,1]
[4,5,2,2,1,3] => [5,3,4,1,2,6] => 00001 => [5,1]
[4,5,2,2,3,1] => [6,3,4,1,2,5] => 00000 => [6]
[4,5,2,3,1,2] => [5,3,4,1,2,6] => 00001 => [5,1]
[4,5,2,3,2,1] => [6,3,4,1,2,5] => 00000 => [6]
[4,5,3,1,2,2] => [4,5,3,1,2,6] => 00001 => [5,1]
[4,5,3,2,1,2] => [5,4,3,1,2,6] => 00001 => [5,1]
[4,5,3,2,2,1] => [6,4,3,1,2,5] => 00000 => [6]
[5,1,2,2,3,4] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,2,2,4,3] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,2,3,2,4] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,2,3,4,2] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,2,4,2,3] => [2,3,5,4,1,6] => 00001 => [5,1]
[5,1,2,4,3,2] => [2,3,5,4,1,6] => 00001 => [5,1]
[5,1,3,2,2,4] => [2,4,3,5,1,6] => 00001 => [5,1]
[5,1,3,2,4,2] => [2,4,3,5,1,6] => 00001 => [5,1]
[5,1,3,4,2,2] => [2,5,3,4,1,6] => 00001 => [5,1]
[5,1,4,2,2,3] => [2,4,5,3,1,6] => 00001 => [5,1]
[5,1,4,2,3,2] => [2,4,5,3,1,6] => 00001 => [5,1]
[5,1,4,3,2,2] => [2,5,4,3,1,6] => 00001 => [5,1]
[5,2,1,2,3,4] => [3,2,4,5,1,6] => 00001 => [5,1]
[5,2,1,2,4,3] => [3,2,4,5,1,6] => 00001 => [5,1]
[5,2,1,3,2,4] => [3,2,4,5,1,6] => 00001 => [5,1]
[5,2,1,3,4,2] => [3,2,4,5,1,6] => 00001 => [5,1]
[5,2,1,4,2,3] => [3,2,5,4,1,6] => 00001 => [5,1]
[5,2,1,4,3,2] => [3,2,5,4,1,6] => 00001 => [5,1]
[5,2,2,1,3,4] => [4,2,3,5,1,6] => 00001 => [5,1]
[5,2,2,1,4,3] => [4,2,3,5,1,6] => 00001 => [5,1]
[5,2,2,3,1,4] => [5,2,3,4,1,6] => 00001 => [5,1]
[5,2,2,3,4,1] => [6,2,3,4,1,5] => 00000 => [6]
[5,2,2,4,1,3] => [5,2,3,4,1,6] => 00001 => [5,1]
[5,2,2,4,3,1] => [6,2,3,4,1,5] => 00000 => [6]
[5,2,3,1,2,4] => [4,2,3,5,1,6] => 00001 => [5,1]
[5,2,3,1,4,2] => [4,2,3,5,1,6] => 00001 => [5,1]
[5,2,3,2,1,4] => [5,2,3,4,1,6] => 00001 => [5,1]
[5,2,3,2,4,1] => [6,2,3,4,1,5] => 00000 => [6]
[5,2,3,4,1,2] => [5,2,3,4,1,6] => 00001 => [5,1]
[5,2,3,4,2,1] => [6,2,3,4,1,5] => 00000 => [6]
[5,2,4,1,2,3] => [4,2,5,3,1,6] => 00001 => [5,1]
[5,2,4,1,3,2] => [4,2,5,3,1,6] => 00001 => [5,1]
[5,2,4,2,1,3] => [5,2,4,3,1,6] => 00001 => [5,1]
[5,2,4,2,3,1] => [6,2,4,3,1,5] => 00000 => [6]
[5,2,4,3,1,2] => [5,2,4,3,1,6] => 00001 => [5,1]
[5,2,4,3,2,1] => [6,2,4,3,1,5] => 00000 => [6]
[5,3,1,2,2,4] => [3,4,2,5,1,6] => 00001 => [5,1]
[5,3,1,2,4,2] => [3,4,2,5,1,6] => 00001 => [5,1]
[5,3,1,4,2,2] => [3,5,2,4,1,6] => 00001 => [5,1]
[5,3,2,1,2,4] => [4,3,2,5,1,6] => 00001 => [5,1]
[5,3,2,1,4,2] => [4,3,2,5,1,6] => 00001 => [5,1]
[5,3,2,2,1,4] => [5,3,2,4,1,6] => 00001 => [5,1]
[5,3,2,2,4,1] => [6,3,2,4,1,5] => 00000 => [6]
[5,3,2,4,1,2] => [5,3,2,4,1,6] => 00001 => [5,1]
[5,3,2,4,2,1] => [6,3,2,4,1,5] => 00000 => [6]
[5,3,4,1,2,2] => [4,5,2,3,1,6] => 00001 => [5,1]
[5,3,4,2,1,2] => [5,4,2,3,1,6] => 00001 => [5,1]
[5,3,4,2,2,1] => [6,4,2,3,1,5] => 00000 => [6]
[5,4,1,2,2,3] => [3,4,5,2,1,6] => 00001 => [5,1]
[5,4,1,2,3,2] => [3,4,5,2,1,6] => 00001 => [5,1]
[5,4,1,3,2,2] => [3,5,4,2,1,6] => 00001 => [5,1]
[5,4,2,1,2,3] => [4,3,5,2,1,6] => 00001 => [5,1]
[5,4,2,1,3,2] => [4,3,5,2,1,6] => 00001 => [5,1]
[5,4,2,2,1,3] => [5,3,4,2,1,6] => 00001 => [5,1]
[5,4,2,2,3,1] => [6,3,4,2,1,5] => 00000 => [6]
[5,4,2,3,1,2] => [5,3,4,2,1,6] => 00001 => [5,1]
[5,4,2,3,2,1] => [6,3,4,2,1,5] => 00000 => [6]
[5,4,3,1,2,2] => [4,5,3,2,1,6] => 00001 => [5,1]
[5,4,3,2,1,2] => [5,4,3,2,1,6] => 00001 => [5,1]
[5,4,3,2,2,1] => [6,4,3,2,1,5] => 00000 => [6]
[1,2,2,3,4,6] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,2,3,6,4] => [1,2,3,4,6,5] => 11110 => [1,1,1,1,2]
[1,2,2,4,3,6] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,2,4,6,3] => [1,2,3,4,6,5] => 11110 => [1,1,1,1,2]
[1,2,2,6,3,4] => [1,2,3,5,6,4] => 11100 => [1,1,1,3]
[1,2,2,6,4,3] => [1,2,3,5,6,4] => 11100 => [1,1,1,3]
[1,2,3,2,4,6] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,3,2,6,4] => [1,2,3,4,6,5] => 11110 => [1,1,1,1,2]
[1,2,3,4,2,6] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,3,4,6,2] => [1,2,3,4,6,5] => 11110 => [1,1,1,1,2]
[1,2,3,6,2,4] => [1,2,3,5,6,4] => 11100 => [1,1,1,3]
[1,2,3,6,4,2] => [1,2,3,5,6,4] => 11100 => [1,1,1,3]
[1,2,4,2,3,6] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,2,4,2,6,3] => [1,2,4,3,6,5] => 11010 => [1,1,2,2]
[1,2,4,3,2,6] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,2,4,3,6,2] => [1,2,4,3,6,5] => 11010 => [1,1,2,2]
[1,2,4,6,2,3] => [1,2,5,3,6,4] => 11000 => [1,1,4]
[1,2,4,6,3,2] => [1,2,5,3,6,4] => 11000 => [1,1,4]
[1,2,6,2,3,4] => [1,2,4,5,6,3] => 11000 => [1,1,4]
[1,2,6,2,4,3] => [1,2,4,5,6,3] => 11000 => [1,1,4]
[1,2,6,3,2,4] => [1,2,4,5,6,3] => 11000 => [1,1,4]
[1,2,6,3,4,2] => [1,2,4,5,6,3] => 11000 => [1,1,4]
[1,2,6,4,2,3] => [1,2,5,4,6,3] => 11000 => [1,1,4]
[1,2,6,4,3,2] => [1,2,5,4,6,3] => 11000 => [1,1,4]
[1,3,2,2,4,6] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,2,2,6,4] => [1,3,2,4,6,5] => 10110 => [1,2,1,2]
[1,3,2,4,2,6] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,2,4,6,2] => [1,3,2,4,6,5] => 10110 => [1,2,1,2]
[1,3,2,6,2,4] => [1,3,2,5,6,4] => 10100 => [1,2,3]
[1,3,2,6,4,2] => [1,3,2,5,6,4] => 10100 => [1,2,3]
[1,3,4,2,2,6] => [1,4,2,3,5,6] => 10011 => [1,3,1,1]
[1,3,4,2,6,2] => [1,4,2,3,6,5] => 10010 => [1,3,2]
[1,3,4,6,2,2] => [1,5,2,3,6,4] => 10000 => [1,5]
[1,3,6,2,2,4] => [1,4,2,5,6,3] => 10000 => [1,5]
[1,3,6,2,4,2] => [1,4,2,5,6,3] => 10000 => [1,5]
[1,3,6,4,2,2] => [1,5,2,4,6,3] => 10000 => [1,5]
[1,4,2,2,3,6] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,2,2,6,3] => [1,3,4,2,6,5] => 10010 => [1,3,2]
[1,4,2,3,2,6] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,2,3,6,2] => [1,3,4,2,6,5] => 10010 => [1,3,2]
[1,4,2,6,2,3] => [1,3,5,2,6,4] => 10000 => [1,5]
[1,4,2,6,3,2] => [1,3,5,2,6,4] => 10000 => [1,5]
[1,4,3,2,2,6] => [1,4,3,2,5,6] => 10011 => [1,3,1,1]
[1,4,3,2,6,2] => [1,4,3,2,6,5] => 10010 => [1,3,2]
[1,4,3,6,2,2] => [1,5,3,2,6,4] => 10000 => [1,5]
[1,4,6,2,2,3] => [1,4,5,2,6,3] => 10000 => [1,5]
[1,4,6,2,3,2] => [1,4,5,2,6,3] => 10000 => [1,5]
[1,4,6,3,2,2] => [1,5,4,2,6,3] => 10000 => [1,5]
[1,6,2,2,3,4] => [1,3,4,5,6,2] => 10000 => [1,5]
[1,6,2,2,4,3] => [1,3,4,5,6,2] => 10000 => [1,5]
[1,6,2,3,2,4] => [1,3,4,5,6,2] => 10000 => [1,5]
[1,6,2,3,4,2] => [1,3,4,5,6,2] => 10000 => [1,5]
[1,6,2,4,2,3] => [1,3,5,4,6,2] => 10000 => [1,5]
[1,6,2,4,3,2] => [1,3,5,4,6,2] => 10000 => [1,5]
[1,6,3,2,2,4] => [1,4,3,5,6,2] => 10000 => [1,5]
[1,6,3,2,4,2] => [1,4,3,5,6,2] => 10000 => [1,5]
[1,6,3,4,2,2] => [1,5,3,4,6,2] => 10000 => [1,5]
[1,6,4,2,2,3] => [1,4,5,3,6,2] => 10000 => [1,5]
[1,6,4,2,3,2] => [1,4,5,3,6,2] => 10000 => [1,5]
[1,6,4,3,2,2] => [1,5,4,3,6,2] => 10000 => [1,5]
[2,1,2,3,4,6] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,2,3,6,4] => [2,1,3,4,6,5] => 01110 => [2,1,1,2]
[2,1,2,4,3,6] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,2,4,6,3] => [2,1,3,4,6,5] => 01110 => [2,1,1,2]
[2,1,2,6,3,4] => [2,1,3,5,6,4] => 01100 => [2,1,3]
[2,1,2,6,4,3] => [2,1,3,5,6,4] => 01100 => [2,1,3]
[2,1,3,2,4,6] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,3,2,6,4] => [2,1,3,4,6,5] => 01110 => [2,1,1,2]
[2,1,3,4,2,6] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,3,4,6,2] => [2,1,3,4,6,5] => 01110 => [2,1,1,2]
[2,1,3,6,2,4] => [2,1,3,5,6,4] => 01100 => [2,1,3]
[2,1,3,6,4,2] => [2,1,3,5,6,4] => 01100 => [2,1,3]
[2,1,4,2,3,6] => [2,1,4,3,5,6] => 01011 => [2,2,1,1]
[2,1,4,2,6,3] => [2,1,4,3,6,5] => 01010 => [2,2,2]
[2,1,4,3,2,6] => [2,1,4,3,5,6] => 01011 => [2,2,1,1]
[2,1,4,3,6,2] => [2,1,4,3,6,5] => 01010 => [2,2,2]
[2,1,4,6,2,3] => [2,1,5,3,6,4] => 01000 => [2,4]
[2,1,4,6,3,2] => [2,1,5,3,6,4] => 01000 => [2,4]
[2,1,6,2,3,4] => [2,1,4,5,6,3] => 01000 => [2,4]
[2,1,6,2,4,3] => [2,1,4,5,6,3] => 01000 => [2,4]
[2,1,6,3,2,4] => [2,1,4,5,6,3] => 01000 => [2,4]
[2,1,6,3,4,2] => [2,1,4,5,6,3] => 01000 => [2,4]
[2,1,6,4,2,3] => [2,1,5,4,6,3] => 01000 => [2,4]
[2,1,6,4,3,2] => [2,1,5,4,6,3] => 01000 => [2,4]
[2,2,1,3,4,6] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,2,1,3,6,4] => [3,1,2,4,6,5] => 00110 => [3,1,2]
[2,2,1,4,3,6] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,2,1,4,6,3] => [3,1,2,4,6,5] => 00110 => [3,1,2]
[2,2,1,6,3,4] => [3,1,2,5,6,4] => 00100 => [3,3]
[2,2,1,6,4,3] => [3,1,2,5,6,4] => 00100 => [3,3]
[2,2,3,1,4,6] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,2,3,1,6,4] => [4,1,2,3,6,5] => 00010 => [4,2]
[2,2,3,4,1,6] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,2,3,4,6,1] => [6,1,2,3,4,5] => 00000 => [6]
[2,2,3,6,1,4] => [5,1,2,3,6,4] => 00000 => [6]
[2,2,3,6,4,1] => [6,1,2,3,5,4] => 00000 => [6]
[2,2,4,1,3,6] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,2,4,1,6,3] => [4,1,2,3,6,5] => 00010 => [4,2]
[2,2,4,3,1,6] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,2,4,3,6,1] => [6,1,2,3,4,5] => 00000 => [6]
[2,2,4,6,1,3] => [5,1,2,3,6,4] => 00000 => [6]
[2,2,4,6,3,1] => [6,1,2,3,5,4] => 00000 => [6]
[2,2,6,1,3,4] => [4,1,2,5,6,3] => 00000 => [6]
[2,2,6,1,4,3] => [4,1,2,5,6,3] => 00000 => [6]
[2,2,6,3,1,4] => [5,1,2,4,6,3] => 00000 => [6]
[2,2,6,3,4,1] => [6,1,2,4,5,3] => 00000 => [6]
[2,2,6,4,1,3] => [5,1,2,4,6,3] => 00000 => [6]
[2,2,6,4,3,1] => [6,1,2,4,5,3] => 00000 => [6]
[2,3,1,2,4,6] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,3,1,2,6,4] => [3,1,2,4,6,5] => 00110 => [3,1,2]
[2,3,1,4,2,6] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,3,1,4,6,2] => [3,1,2,4,6,5] => 00110 => [3,1,2]
[2,3,1,6,2,4] => [3,1,2,5,6,4] => 00100 => [3,3]
[2,3,1,6,4,2] => [3,1,2,5,6,4] => 00100 => [3,3]
[2,3,2,1,4,6] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,3,2,1,6,4] => [4,1,2,3,6,5] => 00010 => [4,2]
[2,3,2,4,1,6] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,3,2,4,6,1] => [6,1,2,3,4,5] => 00000 => [6]
[2,3,2,6,1,4] => [5,1,2,3,6,4] => 00000 => [6]
[2,3,2,6,4,1] => [6,1,2,3,5,4] => 00000 => [6]
[2,3,4,1,2,6] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,3,4,1,6,2] => [4,1,2,3,6,5] => 00010 => [4,2]
[2,3,4,2,1,6] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,3,4,2,6,1] => [6,1,2,3,4,5] => 00000 => [6]
[2,3,4,6,1,2] => [5,1,2,3,6,4] => 00000 => [6]
[2,3,4,6,2,1] => [6,1,2,3,5,4] => 00000 => [6]
[2,3,6,1,2,4] => [4,1,2,5,6,3] => 00000 => [6]
[2,3,6,1,4,2] => [4,1,2,5,6,3] => 00000 => [6]
[2,3,6,2,1,4] => [5,1,2,4,6,3] => 00000 => [6]
[2,3,6,2,4,1] => [6,1,2,4,5,3] => 00000 => [6]
[2,3,6,4,1,2] => [5,1,2,4,6,3] => 00000 => [6]
[2,3,6,4,2,1] => [6,1,2,4,5,3] => 00000 => [6]
[2,4,1,2,3,6] => [3,1,4,2,5,6] => 00011 => [4,1,1]
[2,4,1,2,6,3] => [3,1,4,2,6,5] => 00010 => [4,2]
[2,4,1,3,2,6] => [3,1,4,2,5,6] => 00011 => [4,1,1]
[2,4,1,3,6,2] => [3,1,4,2,6,5] => 00010 => [4,2]
[2,4,1,6,2,3] => [3,1,5,2,6,4] => 00000 => [6]
[2,4,1,6,3,2] => [3,1,5,2,6,4] => 00000 => [6]
[2,4,2,1,3,6] => [4,1,3,2,5,6] => 00011 => [4,1,1]
[2,4,2,1,6,3] => [4,1,3,2,6,5] => 00010 => [4,2]
[2,4,2,3,1,6] => [5,1,3,2,4,6] => 00001 => [5,1]
[2,4,2,3,6,1] => [6,1,3,2,4,5] => 00000 => [6]
[2,4,2,6,1,3] => [5,1,3,2,6,4] => 00000 => [6]
[2,4,2,6,3,1] => [6,1,3,2,5,4] => 00000 => [6]
[2,4,3,1,2,6] => [4,1,3,2,5,6] => 00011 => [4,1,1]
[2,4,3,1,6,2] => [4,1,3,2,6,5] => 00010 => [4,2]
[2,4,3,2,1,6] => [5,1,3,2,4,6] => 00001 => [5,1]
[2,4,3,2,6,1] => [6,1,3,2,4,5] => 00000 => [6]
[2,4,3,6,1,2] => [5,1,3,2,6,4] => 00000 => [6]
[2,4,3,6,2,1] => [6,1,3,2,5,4] => 00000 => [6]
[2,4,6,1,2,3] => [4,1,5,2,6,3] => 00000 => [6]
[2,4,6,1,3,2] => [4,1,5,2,6,3] => 00000 => [6]
[2,4,6,2,1,3] => [5,1,4,2,6,3] => 00000 => [6]
[2,4,6,2,3,1] => [6,1,4,2,5,3] => 00000 => [6]
[2,4,6,3,1,2] => [5,1,4,2,6,3] => 00000 => [6]
[2,4,6,3,2,1] => [6,1,4,2,5,3] => 00000 => [6]
[2,6,1,2,3,4] => [3,1,4,5,6,2] => 00000 => [6]
[2,6,1,2,4,3] => [3,1,4,5,6,2] => 00000 => [6]
[2,6,1,3,2,4] => [3,1,4,5,6,2] => 00000 => [6]
[2,6,1,3,4,2] => [3,1,4,5,6,2] => 00000 => [6]
[2,6,1,4,2,3] => [3,1,5,4,6,2] => 00000 => [6]
[2,6,1,4,3,2] => [3,1,5,4,6,2] => 00000 => [6]
[2,6,2,1,3,4] => [4,1,3,5,6,2] => 00000 => [6]
[2,6,2,1,4,3] => [4,1,3,5,6,2] => 00000 => [6]
[2,6,2,3,1,4] => [5,1,3,4,6,2] => 00000 => [6]
[2,6,2,3,4,1] => [6,1,3,4,5,2] => 00000 => [6]
[2,6,2,4,1,3] => [5,1,3,4,6,2] => 00000 => [6]
[2,6,2,4,3,1] => [6,1,3,4,5,2] => 00000 => [6]
[2,6,3,1,2,4] => [4,1,3,5,6,2] => 00000 => [6]
[2,6,3,1,4,2] => [4,1,3,5,6,2] => 00000 => [6]
[2,6,3,2,1,4] => [5,1,3,4,6,2] => 00000 => [6]
[2,6,3,2,4,1] => [6,1,3,4,5,2] => 00000 => [6]
[2,6,3,4,1,2] => [5,1,3,4,6,2] => 00000 => [6]
[2,6,3,4,2,1] => [6,1,3,4,5,2] => 00000 => [6]
[2,6,4,1,2,3] => [4,1,5,3,6,2] => 00000 => [6]
[2,6,4,1,3,2] => [4,1,5,3,6,2] => 00000 => [6]
[2,6,4,2,1,3] => [5,1,4,3,6,2] => 00000 => [6]
[2,6,4,2,3,1] => [6,1,4,3,5,2] => 00000 => [6]
[2,6,4,3,1,2] => [5,1,4,3,6,2] => 00000 => [6]
[2,6,4,3,2,1] => [6,1,4,3,5,2] => 00000 => [6]
[3,1,2,2,4,6] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,2,2,6,4] => [2,3,1,4,6,5] => 00110 => [3,1,2]
[3,1,2,4,2,6] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,2,4,6,2] => [2,3,1,4,6,5] => 00110 => [3,1,2]
[3,1,2,6,2,4] => [2,3,1,5,6,4] => 00100 => [3,3]
[3,1,2,6,4,2] => [2,3,1,5,6,4] => 00100 => [3,3]
[3,1,4,2,2,6] => [2,4,1,3,5,6] => 00011 => [4,1,1]
[3,1,4,2,6,2] => [2,4,1,3,6,5] => 00010 => [4,2]
[3,1,4,6,2,2] => [2,5,1,3,6,4] => 00000 => [6]
[3,1,6,2,2,4] => [2,4,1,5,6,3] => 00000 => [6]
[3,1,6,2,4,2] => [2,4,1,5,6,3] => 00000 => [6]
[3,1,6,4,2,2] => [2,5,1,4,6,3] => 00000 => [6]
[3,2,1,2,4,6] => [3,2,1,4,5,6] => 00111 => [3,1,1,1]
[3,2,1,2,6,4] => [3,2,1,4,6,5] => 00110 => [3,1,2]
[3,2,1,4,2,6] => [3,2,1,4,5,6] => 00111 => [3,1,1,1]
[3,2,1,4,6,2] => [3,2,1,4,6,5] => 00110 => [3,1,2]
[3,2,1,6,2,4] => [3,2,1,5,6,4] => 00100 => [3,3]
[3,2,1,6,4,2] => [3,2,1,5,6,4] => 00100 => [3,3]
[3,2,2,1,4,6] => [4,2,1,3,5,6] => 00011 => [4,1,1]
[3,2,2,1,6,4] => [4,2,1,3,6,5] => 00010 => [4,2]
[3,2,2,4,1,6] => [5,2,1,3,4,6] => 00001 => [5,1]
[3,2,2,4,6,1] => [6,2,1,3,4,5] => 00000 => [6]
[3,2,2,6,1,4] => [5,2,1,3,6,4] => 00000 => [6]
[3,2,2,6,4,1] => [6,2,1,3,5,4] => 00000 => [6]
[3,2,4,1,2,6] => [4,2,1,3,5,6] => 00011 => [4,1,1]
[3,2,4,1,6,2] => [4,2,1,3,6,5] => 00010 => [4,2]
[3,2,4,2,1,6] => [5,2,1,3,4,6] => 00001 => [5,1]
[3,2,4,2,6,1] => [6,2,1,3,4,5] => 00000 => [6]
[3,2,4,6,1,2] => [5,2,1,3,6,4] => 00000 => [6]
[3,2,4,6,2,1] => [6,2,1,3,5,4] => 00000 => [6]
[3,2,6,1,2,4] => [4,2,1,5,6,3] => 00000 => [6]
[3,2,6,1,4,2] => [4,2,1,5,6,3] => 00000 => [6]
[3,2,6,2,1,4] => [5,2,1,4,6,3] => 00000 => [6]
[3,2,6,2,4,1] => [6,2,1,4,5,3] => 00000 => [6]
[3,2,6,4,1,2] => [5,2,1,4,6,3] => 00000 => [6]
[3,2,6,4,2,1] => [6,2,1,4,5,3] => 00000 => [6]
[3,4,1,2,2,6] => [3,4,1,2,5,6] => 00011 => [4,1,1]
[3,4,1,2,6,2] => [3,4,1,2,6,5] => 00010 => [4,2]
[3,4,1,6,2,2] => [3,5,1,2,6,4] => 00000 => [6]
[3,4,2,1,2,6] => [4,3,1,2,5,6] => 00011 => [4,1,1]
[3,4,2,1,6,2] => [4,3,1,2,6,5] => 00010 => [4,2]
[3,4,2,2,1,6] => [5,3,1,2,4,6] => 00001 => [5,1]
[3,4,2,2,6,1] => [6,3,1,2,4,5] => 00000 => [6]
[3,4,2,6,1,2] => [5,3,1,2,6,4] => 00000 => [6]
[3,4,2,6,2,1] => [6,3,1,2,5,4] => 00000 => [6]
[3,4,6,1,2,2] => [4,5,1,2,6,3] => 00000 => [6]
[3,4,6,2,1,2] => [5,4,1,2,6,3] => 00000 => [6]
[3,4,6,2,2,1] => [6,4,1,2,5,3] => 00000 => [6]
[3,6,1,2,2,4] => [3,4,1,5,6,2] => 00000 => [6]
[3,6,1,2,4,2] => [3,4,1,5,6,2] => 00000 => [6]
[3,6,1,4,2,2] => [3,5,1,4,6,2] => 00000 => [6]
[3,6,2,1,2,4] => [4,3,1,5,6,2] => 00000 => [6]
[3,6,2,1,4,2] => [4,3,1,5,6,2] => 00000 => [6]
[3,6,2,2,1,4] => [5,3,1,4,6,2] => 00000 => [6]
[3,6,2,2,4,1] => [6,3,1,4,5,2] => 00000 => [6]
[3,6,2,4,1,2] => [5,3,1,4,6,2] => 00000 => [6]
[3,6,2,4,2,1] => [6,3,1,4,5,2] => 00000 => [6]
[3,6,4,1,2,2] => [4,5,1,3,6,2] => 00000 => [6]
[3,6,4,2,1,2] => [5,4,1,3,6,2] => 00000 => [6]
[3,6,4,2,2,1] => [6,4,1,3,5,2] => 00000 => [6]
[4,1,2,2,3,6] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,2,2,6,3] => [2,3,4,1,6,5] => 00010 => [4,2]
[4,1,2,3,2,6] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,2,3,6,2] => [2,3,4,1,6,5] => 00010 => [4,2]
[4,1,2,6,2,3] => [2,3,5,1,6,4] => 00000 => [6]
[4,1,2,6,3,2] => [2,3,5,1,6,4] => 00000 => [6]
[4,1,3,2,2,6] => [2,4,3,1,5,6] => 00011 => [4,1,1]
[4,1,3,2,6,2] => [2,4,3,1,6,5] => 00010 => [4,2]
[4,1,3,6,2,2] => [2,5,3,1,6,4] => 00000 => [6]
[4,1,6,2,2,3] => [2,4,5,1,6,3] => 00000 => [6]
[4,1,6,2,3,2] => [2,4,5,1,6,3] => 00000 => [6]
[4,1,6,3,2,2] => [2,5,4,1,6,3] => 00000 => [6]
[4,2,1,2,3,6] => [3,2,4,1,5,6] => 00011 => [4,1,1]
[4,2,1,2,6,3] => [3,2,4,1,6,5] => 00010 => [4,2]
[4,2,1,3,2,6] => [3,2,4,1,5,6] => 00011 => [4,1,1]
[4,2,1,3,6,2] => [3,2,4,1,6,5] => 00010 => [4,2]
[4,2,1,6,2,3] => [3,2,5,1,6,4] => 00000 => [6]
[4,2,1,6,3,2] => [3,2,5,1,6,4] => 00000 => [6]
[4,2,2,1,3,6] => [4,2,3,1,5,6] => 00011 => [4,1,1]
[4,2,2,1,6,3] => [4,2,3,1,6,5] => 00010 => [4,2]
[4,2,2,3,1,6] => [5,2,3,1,4,6] => 00001 => [5,1]
[4,2,2,3,6,1] => [6,2,3,1,4,5] => 00000 => [6]
[4,2,2,6,1,3] => [5,2,3,1,6,4] => 00000 => [6]
[4,2,2,6,3,1] => [6,2,3,1,5,4] => 00000 => [6]
[4,2,3,1,2,6] => [4,2,3,1,5,6] => 00011 => [4,1,1]
[4,2,3,1,6,2] => [4,2,3,1,6,5] => 00010 => [4,2]
[4,2,3,2,1,6] => [5,2,3,1,4,6] => 00001 => [5,1]
[4,2,3,2,6,1] => [6,2,3,1,4,5] => 00000 => [6]
[4,2,3,6,1,2] => [5,2,3,1,6,4] => 00000 => [6]
[4,2,3,6,2,1] => [6,2,3,1,5,4] => 00000 => [6]
[4,2,6,1,2,3] => [4,2,5,1,6,3] => 00000 => [6]
[4,2,6,1,3,2] => [4,2,5,1,6,3] => 00000 => [6]
[4,2,6,2,1,3] => [5,2,4,1,6,3] => 00000 => [6]
[4,2,6,2,3,1] => [6,2,4,1,5,3] => 00000 => [6]
[4,2,6,3,1,2] => [5,2,4,1,6,3] => 00000 => [6]
[4,2,6,3,2,1] => [6,2,4,1,5,3] => 00000 => [6]
[4,3,1,2,2,6] => [3,4,2,1,5,6] => 00011 => [4,1,1]
[4,3,1,2,6,2] => [3,4,2,1,6,5] => 00010 => [4,2]
[4,3,1,6,2,2] => [3,5,2,1,6,4] => 00000 => [6]
[4,3,2,1,2,6] => [4,3,2,1,5,6] => 00011 => [4,1,1]
[4,3,2,1,6,2] => [4,3,2,1,6,5] => 00010 => [4,2]
[4,3,2,2,1,6] => [5,3,2,1,4,6] => 00001 => [5,1]
[4,3,2,2,6,1] => [6,3,2,1,4,5] => 00000 => [6]
[4,3,2,6,1,2] => [5,3,2,1,6,4] => 00000 => [6]
[4,3,2,6,2,1] => [6,3,2,1,5,4] => 00000 => [6]
[4,3,6,1,2,2] => [4,5,2,1,6,3] => 00000 => [6]
[4,3,6,2,1,2] => [5,4,2,1,6,3] => 00000 => [6]
[4,3,6,2,2,1] => [6,4,2,1,5,3] => 00000 => [6]
[4,6,1,2,2,3] => [3,4,5,1,6,2] => 00000 => [6]
[4,6,1,2,3,2] => [3,4,5,1,6,2] => 00000 => [6]
[4,6,1,3,2,2] => [3,5,4,1,6,2] => 00000 => [6]
[4,6,2,1,2,3] => [4,3,5,1,6,2] => 00000 => [6]
[4,6,2,1,3,2] => [4,3,5,1,6,2] => 00000 => [6]
[4,6,2,2,1,3] => [5,3,4,1,6,2] => 00000 => [6]
[4,6,2,2,3,1] => [6,3,4,1,5,2] => 00000 => [6]
[4,6,2,3,1,2] => [5,3,4,1,6,2] => 00000 => [6]
[4,6,2,3,2,1] => [6,3,4,1,5,2] => 00000 => [6]
[4,6,3,1,2,2] => [4,5,3,1,6,2] => 00000 => [6]
[4,6,3,2,1,2] => [5,4,3,1,6,2] => 00000 => [6]
[4,6,3,2,2,1] => [6,4,3,1,5,2] => 00000 => [6]
[6,1,2,2,3,4] => [2,3,4,5,6,1] => 00000 => [6]
[6,1,2,2,4,3] => [2,3,4,5,6,1] => 00000 => [6]
[6,1,2,3,2,4] => [2,3,4,5,6,1] => 00000 => [6]
[6,1,2,3,4,2] => [2,3,4,5,6,1] => 00000 => [6]
[6,1,2,4,2,3] => [2,3,5,4,6,1] => 00000 => [6]
[6,1,2,4,3,2] => [2,3,5,4,6,1] => 00000 => [6]
[6,1,3,2,2,4] => [2,4,3,5,6,1] => 00000 => [6]
[6,1,3,2,4,2] => [2,4,3,5,6,1] => 00000 => [6]
[6,1,3,4,2,2] => [2,5,3,4,6,1] => 00000 => [6]
[6,1,4,2,2,3] => [2,4,5,3,6,1] => 00000 => [6]
[6,1,4,2,3,2] => [2,4,5,3,6,1] => 00000 => [6]
[6,1,4,3,2,2] => [2,5,4,3,6,1] => 00000 => [6]
[6,2,1,2,3,4] => [3,2,4,5,6,1] => 00000 => [6]
[6,2,1,2,4,3] => [3,2,4,5,6,1] => 00000 => [6]
[6,2,1,3,2,4] => [3,2,4,5,6,1] => 00000 => [6]
[6,2,1,3,4,2] => [3,2,4,5,6,1] => 00000 => [6]
[6,2,1,4,2,3] => [3,2,5,4,6,1] => 00000 => [6]
[6,2,1,4,3,2] => [3,2,5,4,6,1] => 00000 => [6]
[6,2,2,1,3,4] => [4,2,3,5,6,1] => 00000 => [6]
[6,2,2,1,4,3] => [4,2,3,5,6,1] => 00000 => [6]
[6,2,2,3,1,4] => [5,2,3,4,6,1] => 00000 => [6]
[6,2,2,3,4,1] => [6,2,3,4,5,1] => 00000 => [6]
[6,2,2,4,1,3] => [5,2,3,4,6,1] => 00000 => [6]
[6,2,2,4,3,1] => [6,2,3,4,5,1] => 00000 => [6]
[6,2,3,1,2,4] => [4,2,3,5,6,1] => 00000 => [6]
[6,2,3,1,4,2] => [4,2,3,5,6,1] => 00000 => [6]
[6,2,3,2,1,4] => [5,2,3,4,6,1] => 00000 => [6]
[6,2,3,2,4,1] => [6,2,3,4,5,1] => 00000 => [6]
[6,2,3,4,1,2] => [5,2,3,4,6,1] => 00000 => [6]
[6,2,3,4,2,1] => [6,2,3,4,5,1] => 00000 => [6]
[6,2,4,1,2,3] => [4,2,5,3,6,1] => 00000 => [6]
[6,2,4,1,3,2] => [4,2,5,3,6,1] => 00000 => [6]
[6,2,4,2,1,3] => [5,2,4,3,6,1] => 00000 => [6]
[6,2,4,2,3,1] => [6,2,4,3,5,1] => 00000 => [6]
[6,2,4,3,1,2] => [5,2,4,3,6,1] => 00000 => [6]
[6,2,4,3,2,1] => [6,2,4,3,5,1] => 00000 => [6]
[6,3,1,2,2,4] => [3,4,2,5,6,1] => 00000 => [6]
[6,3,1,2,4,2] => [3,4,2,5,6,1] => 00000 => [6]
[6,3,1,4,2,2] => [3,5,2,4,6,1] => 00000 => [6]
[6,3,2,1,2,4] => [4,3,2,5,6,1] => 00000 => [6]
[6,3,2,1,4,2] => [4,3,2,5,6,1] => 00000 => [6]
[6,3,2,2,1,4] => [5,3,2,4,6,1] => 00000 => [6]
[6,3,2,2,4,1] => [6,3,2,4,5,1] => 00000 => [6]
[6,3,2,4,1,2] => [5,3,2,4,6,1] => 00000 => [6]
[6,3,2,4,2,1] => [6,3,2,4,5,1] => 00000 => [6]
[6,3,4,1,2,2] => [4,5,2,3,6,1] => 00000 => [6]
[6,3,4,2,1,2] => [5,4,2,3,6,1] => 00000 => [6]
[6,3,4,2,2,1] => [6,4,2,3,5,1] => 00000 => [6]
[6,4,1,2,2,3] => [3,4,5,2,6,1] => 00000 => [6]
[6,4,1,2,3,2] => [3,4,5,2,6,1] => 00000 => [6]
[6,4,1,3,2,2] => [3,5,4,2,6,1] => 00000 => [6]
[6,4,2,1,2,3] => [4,3,5,2,6,1] => 00000 => [6]
[6,4,2,1,3,2] => [4,3,5,2,6,1] => 00000 => [6]
[6,4,2,2,1,3] => [5,3,4,2,6,1] => 00000 => [6]
[6,4,2,2,3,1] => [6,3,4,2,5,1] => 00000 => [6]
[6,4,2,3,1,2] => [5,3,4,2,6,1] => 00000 => [6]
[6,4,2,3,2,1] => [6,3,4,2,5,1] => 00000 => [6]
[6,4,3,1,2,2] => [4,5,3,2,6,1] => 00000 => [6]
[6,4,3,2,1,2] => [5,4,3,2,6,1] => 00000 => [6]
[6,4,3,2,2,1] => [6,4,3,2,5,1] => 00000 => [6]
[1,2,2,3,5,5] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,2,5,3,5] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,2,2,5,5,3] => [1,2,3,6,4,5] => 11100 => [1,1,1,3]
[1,2,3,2,5,5] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,3,5,2,5] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,2,3,5,5,2] => [1,2,3,6,4,5] => 11100 => [1,1,1,3]
[1,2,5,2,3,5] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,2,5,2,5,3] => [1,2,4,6,3,5] => 11000 => [1,1,4]
[1,2,5,3,2,5] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,2,5,3,5,2] => [1,2,4,6,3,5] => 11000 => [1,1,4]
[1,2,5,5,2,3] => [1,2,5,6,3,4] => 11000 => [1,1,4]
[1,2,5,5,3,2] => [1,2,5,6,3,4] => 11000 => [1,1,4]
[1,3,2,2,5,5] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,2,5,2,5] => [1,3,2,5,4,6] => 10101 => [1,2,2,1]
[1,3,2,5,5,2] => [1,3,2,6,4,5] => 10100 => [1,2,3]
[1,3,5,2,2,5] => [1,4,2,5,3,6] => 10001 => [1,4,1]
[1,3,5,2,5,2] => [1,4,2,6,3,5] => 10000 => [1,5]
[1,3,5,5,2,2] => [1,5,2,6,3,4] => 10000 => [1,5]
[1,5,2,2,3,5] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,2,2,5,3] => [1,3,4,6,2,5] => 10000 => [1,5]
[1,5,2,3,2,5] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,2,3,5,2] => [1,3,4,6,2,5] => 10000 => [1,5]
[1,5,2,5,2,3] => [1,3,5,6,2,4] => 10000 => [1,5]
[1,5,2,5,3,2] => [1,3,5,6,2,4] => 10000 => [1,5]
[1,5,3,2,2,5] => [1,4,3,5,2,6] => 10001 => [1,4,1]
[1,5,3,2,5,2] => [1,4,3,6,2,5] => 10000 => [1,5]
[1,5,3,5,2,2] => [1,5,3,6,2,4] => 10000 => [1,5]
[1,5,5,2,2,3] => [1,4,5,6,2,3] => 10000 => [1,5]
[1,5,5,2,3,2] => [1,4,5,6,2,3] => 10000 => [1,5]
[1,5,5,3,2,2] => [1,5,4,6,2,3] => 10000 => [1,5]
[2,1,2,3,5,5] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,2,5,3,5] => [2,1,3,5,4,6] => 01101 => [2,1,2,1]
[2,1,2,5,5,3] => [2,1,3,6,4,5] => 01100 => [2,1,3]
[2,1,3,2,5,5] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,3,5,2,5] => [2,1,3,5,4,6] => 01101 => [2,1,2,1]
[2,1,3,5,5,2] => [2,1,3,6,4,5] => 01100 => [2,1,3]
[2,1,5,2,3,5] => [2,1,4,5,3,6] => 01001 => [2,3,1]
[2,1,5,2,5,3] => [2,1,4,6,3,5] => 01000 => [2,4]
[2,1,5,3,2,5] => [2,1,4,5,3,6] => 01001 => [2,3,1]
[2,1,5,3,5,2] => [2,1,4,6,3,5] => 01000 => [2,4]
[2,1,5,5,2,3] => [2,1,5,6,3,4] => 01000 => [2,4]
[2,1,5,5,3,2] => [2,1,5,6,3,4] => 01000 => [2,4]
[2,2,1,3,5,5] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,2,1,5,3,5] => [3,1,2,5,4,6] => 00101 => [3,2,1]
[2,2,1,5,5,3] => [3,1,2,6,4,5] => 00100 => [3,3]
[2,2,3,1,5,5] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,2,3,5,1,5] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,2,3,5,5,1] => [6,1,2,3,4,5] => 00000 => [6]
[2,2,5,1,3,5] => [4,1,2,5,3,6] => 00001 => [5,1]
[2,2,5,1,5,3] => [4,1,2,6,3,5] => 00000 => [6]
[2,2,5,3,1,5] => [5,1,2,4,3,6] => 00001 => [5,1]
[2,2,5,3,5,1] => [6,1,2,4,3,5] => 00000 => [6]
[2,2,5,5,1,3] => [5,1,2,6,3,4] => 00000 => [6]
[2,2,5,5,3,1] => [6,1,2,5,3,4] => 00000 => [6]
[2,3,1,2,5,5] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,3,1,5,2,5] => [3,1,2,5,4,6] => 00101 => [3,2,1]
[2,3,1,5,5,2] => [3,1,2,6,4,5] => 00100 => [3,3]
[2,3,2,1,5,5] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,3,2,5,1,5] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,3,2,5,5,1] => [6,1,2,3,4,5] => 00000 => [6]
[2,3,5,1,2,5] => [4,1,2,5,3,6] => 00001 => [5,1]
[2,3,5,1,5,2] => [4,1,2,6,3,5] => 00000 => [6]
[2,3,5,2,1,5] => [5,1,2,4,3,6] => 00001 => [5,1]
[2,3,5,2,5,1] => [6,1,2,4,3,5] => 00000 => [6]
[2,3,5,5,1,2] => [5,1,2,6,3,4] => 00000 => [6]
[2,3,5,5,2,1] => [6,1,2,5,3,4] => 00000 => [6]
[2,5,1,2,3,5] => [3,1,4,5,2,6] => 00001 => [5,1]
[2,5,1,2,5,3] => [3,1,4,6,2,5] => 00000 => [6]
[2,5,1,3,2,5] => [3,1,4,5,2,6] => 00001 => [5,1]
[2,5,1,3,5,2] => [3,1,4,6,2,5] => 00000 => [6]
[2,5,1,5,2,3] => [3,1,5,6,2,4] => 00000 => [6]
[2,5,1,5,3,2] => [3,1,5,6,2,4] => 00000 => [6]
[2,5,2,1,3,5] => [4,1,3,5,2,6] => 00001 => [5,1]
[2,5,2,1,5,3] => [4,1,3,6,2,5] => 00000 => [6]
[2,5,2,3,1,5] => [5,1,3,4,2,6] => 00001 => [5,1]
[2,5,2,3,5,1] => [6,1,3,4,2,5] => 00000 => [6]
[2,5,2,5,1,3] => [5,1,3,6,2,4] => 00000 => [6]
[2,5,2,5,3,1] => [6,1,3,5,2,4] => 00000 => [6]
[2,5,3,1,2,5] => [4,1,3,5,2,6] => 00001 => [5,1]
[2,5,3,1,5,2] => [4,1,3,6,2,5] => 00000 => [6]
[2,5,3,2,1,5] => [5,1,3,4,2,6] => 00001 => [5,1]
[2,5,3,2,5,1] => [6,1,3,4,2,5] => 00000 => [6]
[2,5,3,5,1,2] => [5,1,3,6,2,4] => 00000 => [6]
[2,5,3,5,2,1] => [6,1,3,5,2,4] => 00000 => [6]
[2,5,5,1,2,3] => [4,1,5,6,2,3] => 00000 => [6]
[2,5,5,1,3,2] => [4,1,5,6,2,3] => 00000 => [6]
[2,5,5,2,1,3] => [5,1,4,6,2,3] => 00000 => [6]
[2,5,5,2,3,1] => [6,1,4,5,2,3] => 00000 => [6]
[2,5,5,3,1,2] => [5,1,4,6,2,3] => 00000 => [6]
[2,5,5,3,2,1] => [6,1,4,5,2,3] => 00000 => [6]
[3,1,2,2,5,5] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,2,5,2,5] => [2,3,1,5,4,6] => 00101 => [3,2,1]
[3,1,2,5,5,2] => [2,3,1,6,4,5] => 00100 => [3,3]
[3,1,5,2,2,5] => [2,4,1,5,3,6] => 00001 => [5,1]
[3,1,5,2,5,2] => [2,4,1,6,3,5] => 00000 => [6]
[3,1,5,5,2,2] => [2,5,1,6,3,4] => 00000 => [6]
[3,2,1,2,5,5] => [3,2,1,4,5,6] => 00111 => [3,1,1,1]
[3,2,1,5,2,5] => [3,2,1,5,4,6] => 00101 => [3,2,1]
[3,2,1,5,5,2] => [3,2,1,6,4,5] => 00100 => [3,3]
[3,2,2,1,5,5] => [4,2,1,3,5,6] => 00011 => [4,1,1]
[3,2,2,5,1,5] => [5,2,1,3,4,6] => 00001 => [5,1]
[3,2,2,5,5,1] => [6,2,1,3,4,5] => 00000 => [6]
[3,2,5,1,2,5] => [4,2,1,5,3,6] => 00001 => [5,1]
[3,2,5,1,5,2] => [4,2,1,6,3,5] => 00000 => [6]
[3,2,5,2,1,5] => [5,2,1,4,3,6] => 00001 => [5,1]
[3,2,5,2,5,1] => [6,2,1,4,3,5] => 00000 => [6]
[3,2,5,5,1,2] => [5,2,1,6,3,4] => 00000 => [6]
[3,2,5,5,2,1] => [6,2,1,5,3,4] => 00000 => [6]
[3,5,1,2,2,5] => [3,4,1,5,2,6] => 00001 => [5,1]
[3,5,1,2,5,2] => [3,4,1,6,2,5] => 00000 => [6]
[3,5,1,5,2,2] => [3,5,1,6,2,4] => 00000 => [6]
[3,5,2,1,2,5] => [4,3,1,5,2,6] => 00001 => [5,1]
[3,5,2,1,5,2] => [4,3,1,6,2,5] => 00000 => [6]
[3,5,2,2,1,5] => [5,3,1,4,2,6] => 00001 => [5,1]
[3,5,2,2,5,1] => [6,3,1,4,2,5] => 00000 => [6]
[3,5,2,5,1,2] => [5,3,1,6,2,4] => 00000 => [6]
[3,5,2,5,2,1] => [6,3,1,5,2,4] => 00000 => [6]
[3,5,5,1,2,2] => [4,5,1,6,2,3] => 00000 => [6]
[3,5,5,2,1,2] => [5,4,1,6,2,3] => 00000 => [6]
[3,5,5,2,2,1] => [6,4,1,5,2,3] => 00000 => [6]
[5,1,2,2,3,5] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,2,2,5,3] => [2,3,4,6,1,5] => 00000 => [6]
[5,1,2,3,2,5] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,2,3,5,2] => [2,3,4,6,1,5] => 00000 => [6]
[5,1,2,5,2,3] => [2,3,5,6,1,4] => 00000 => [6]
[5,1,2,5,3,2] => [2,3,5,6,1,4] => 00000 => [6]
[5,1,3,2,2,5] => [2,4,3,5,1,6] => 00001 => [5,1]
[5,1,3,2,5,2] => [2,4,3,6,1,5] => 00000 => [6]
[5,1,3,5,2,2] => [2,5,3,6,1,4] => 00000 => [6]
[5,1,5,2,2,3] => [2,4,5,6,1,3] => 00000 => [6]
[5,1,5,2,3,2] => [2,4,5,6,1,3] => 00000 => [6]
[5,1,5,3,2,2] => [2,5,4,6,1,3] => 00000 => [6]
[5,2,1,2,3,5] => [3,2,4,5,1,6] => 00001 => [5,1]
[5,2,1,2,5,3] => [3,2,4,6,1,5] => 00000 => [6]
[5,2,1,3,2,5] => [3,2,4,5,1,6] => 00001 => [5,1]
[5,2,1,3,5,2] => [3,2,4,6,1,5] => 00000 => [6]
[5,2,1,5,2,3] => [3,2,5,6,1,4] => 00000 => [6]
[5,2,1,5,3,2] => [3,2,5,6,1,4] => 00000 => [6]
[5,2,2,1,3,5] => [4,2,3,5,1,6] => 00001 => [5,1]
[5,2,2,1,5,3] => [4,2,3,6,1,5] => 00000 => [6]
[5,2,2,3,1,5] => [5,2,3,4,1,6] => 00001 => [5,1]
[5,2,2,3,5,1] => [6,2,3,4,1,5] => 00000 => [6]
[5,2,2,5,1,3] => [5,2,3,6,1,4] => 00000 => [6]
[5,2,2,5,3,1] => [6,2,3,5,1,4] => 00000 => [6]
[5,2,3,1,2,5] => [4,2,3,5,1,6] => 00001 => [5,1]
[5,2,3,1,5,2] => [4,2,3,6,1,5] => 00000 => [6]
[5,2,3,2,1,5] => [5,2,3,4,1,6] => 00001 => [5,1]
[5,2,3,2,5,1] => [6,2,3,4,1,5] => 00000 => [6]
[5,2,3,5,1,2] => [5,2,3,6,1,4] => 00000 => [6]
[5,2,3,5,2,1] => [6,2,3,5,1,4] => 00000 => [6]
[5,2,5,1,2,3] => [4,2,5,6,1,3] => 00000 => [6]
[5,2,5,1,3,2] => [4,2,5,6,1,3] => 00000 => [6]
[5,2,5,2,1,3] => [5,2,4,6,1,3] => 00000 => [6]
[5,2,5,2,3,1] => [6,2,4,5,1,3] => 00000 => [6]
[5,2,5,3,1,2] => [5,2,4,6,1,3] => 00000 => [6]
[5,2,5,3,2,1] => [6,2,4,5,1,3] => 00000 => [6]
[5,3,1,2,2,5] => [3,4,2,5,1,6] => 00001 => [5,1]
[5,3,1,2,5,2] => [3,4,2,6,1,5] => 00000 => [6]
[5,3,1,5,2,2] => [3,5,2,6,1,4] => 00000 => [6]
[5,3,2,1,2,5] => [4,3,2,5,1,6] => 00001 => [5,1]
[5,3,2,1,5,2] => [4,3,2,6,1,5] => 00000 => [6]
[5,3,2,2,1,5] => [5,3,2,4,1,6] => 00001 => [5,1]
[5,3,2,2,5,1] => [6,3,2,4,1,5] => 00000 => [6]
[5,3,2,5,1,2] => [5,3,2,6,1,4] => 00000 => [6]
[5,3,2,5,2,1] => [6,3,2,5,1,4] => 00000 => [6]
[5,3,5,1,2,2] => [4,5,2,6,1,3] => 00000 => [6]
[5,3,5,2,1,2] => [5,4,2,6,1,3] => 00000 => [6]
[5,3,5,2,2,1] => [6,4,2,5,1,3] => 00000 => [6]
[5,5,1,2,2,3] => [3,4,5,6,1,2] => 00000 => [6]
[5,5,1,2,3,2] => [3,4,5,6,1,2] => 00000 => [6]
[5,5,1,3,2,2] => [3,5,4,6,1,2] => 00000 => [6]
[5,5,2,1,2,3] => [4,3,5,6,1,2] => 00000 => [6]
[5,5,2,1,3,2] => [4,3,5,6,1,2] => 00000 => [6]
[5,5,2,2,1,3] => [5,3,4,6,1,2] => 00000 => [6]
[5,5,2,2,3,1] => [6,3,4,5,1,2] => 00000 => [6]
[5,5,2,3,1,2] => [5,3,4,6,1,2] => 00000 => [6]
[5,5,2,3,2,1] => [6,3,4,5,1,2] => 00000 => [6]
[5,5,3,1,2,2] => [4,5,3,6,1,2] => 00000 => [6]
[5,5,3,2,1,2] => [5,4,3,6,1,2] => 00000 => [6]
[5,5,3,2,2,1] => [6,4,3,5,1,2] => 00000 => [6]
[1,2,2,3,5,6] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,2,3,6,5] => [1,2,3,4,6,5] => 11110 => [1,1,1,1,2]
[1,2,2,5,3,6] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,2,2,5,6,3] => [1,2,3,6,4,5] => 11100 => [1,1,1,3]
[1,2,2,6,3,5] => [1,2,3,5,6,4] => 11100 => [1,1,1,3]
[1,2,2,6,5,3] => [1,2,3,6,5,4] => 11100 => [1,1,1,3]
[1,2,3,2,5,6] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,3,2,6,5] => [1,2,3,4,6,5] => 11110 => [1,1,1,1,2]
[1,2,3,5,2,6] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,2,3,5,6,2] => [1,2,3,6,4,5] => 11100 => [1,1,1,3]
[1,2,3,6,2,5] => [1,2,3,5,6,4] => 11100 => [1,1,1,3]
[1,2,3,6,5,2] => [1,2,3,6,5,4] => 11100 => [1,1,1,3]
[1,2,5,2,3,6] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,2,5,2,6,3] => [1,2,4,6,3,5] => 11000 => [1,1,4]
[1,2,5,3,2,6] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,2,5,3,6,2] => [1,2,4,6,3,5] => 11000 => [1,1,4]
[1,2,5,6,2,3] => [1,2,5,6,3,4] => 11000 => [1,1,4]
[1,2,5,6,3,2] => [1,2,5,6,3,4] => 11000 => [1,1,4]
[1,2,6,2,3,5] => [1,2,4,5,6,3] => 11000 => [1,1,4]
[1,2,6,2,5,3] => [1,2,4,6,5,3] => 11000 => [1,1,4]
[1,2,6,3,2,5] => [1,2,4,5,6,3] => 11000 => [1,1,4]
[1,2,6,3,5,2] => [1,2,4,6,5,3] => 11000 => [1,1,4]
[1,2,6,5,2,3] => [1,2,5,6,4,3] => 11000 => [1,1,4]
[1,2,6,5,3,2] => [1,2,5,6,4,3] => 11000 => [1,1,4]
[1,3,2,2,5,6] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,2,2,6,5] => [1,3,2,4,6,5] => 10110 => [1,2,1,2]
[1,3,2,5,2,6] => [1,3,2,5,4,6] => 10101 => [1,2,2,1]
[1,3,2,5,6,2] => [1,3,2,6,4,5] => 10100 => [1,2,3]
[1,3,2,6,2,5] => [1,3,2,5,6,4] => 10100 => [1,2,3]
[1,3,2,6,5,2] => [1,3,2,6,5,4] => 10100 => [1,2,3]
[1,3,5,2,2,6] => [1,4,2,5,3,6] => 10001 => [1,4,1]
[1,3,5,2,6,2] => [1,4,2,6,3,5] => 10000 => [1,5]
[1,3,5,6,2,2] => [1,5,2,6,3,4] => 10000 => [1,5]
[1,3,6,2,2,5] => [1,4,2,5,6,3] => 10000 => [1,5]
[1,3,6,2,5,2] => [1,4,2,6,5,3] => 10000 => [1,5]
[1,3,6,5,2,2] => [1,5,2,6,4,3] => 10000 => [1,5]
[1,5,2,2,3,6] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,2,2,6,3] => [1,3,4,6,2,5] => 10000 => [1,5]
[1,5,2,3,2,6] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,2,3,6,2] => [1,3,4,6,2,5] => 10000 => [1,5]
[1,5,2,6,2,3] => [1,3,5,6,2,4] => 10000 => [1,5]
[1,5,2,6,3,2] => [1,3,5,6,2,4] => 10000 => [1,5]
[1,5,3,2,2,6] => [1,4,3,5,2,6] => 10001 => [1,4,1]
[1,5,3,2,6,2] => [1,4,3,6,2,5] => 10000 => [1,5]
[1,5,3,6,2,2] => [1,5,3,6,2,4] => 10000 => [1,5]
[1,5,6,2,2,3] => [1,4,5,6,2,3] => 10000 => [1,5]
[1,5,6,2,3,2] => [1,4,5,6,2,3] => 10000 => [1,5]
[1,5,6,3,2,2] => [1,5,4,6,2,3] => 10000 => [1,5]
[1,6,2,2,3,5] => [1,3,4,5,6,2] => 10000 => [1,5]
[1,6,2,2,5,3] => [1,3,4,6,5,2] => 10000 => [1,5]
[1,6,2,3,2,5] => [1,3,4,5,6,2] => 10000 => [1,5]
[1,6,2,3,5,2] => [1,3,4,6,5,2] => 10000 => [1,5]
[1,6,2,5,2,3] => [1,3,5,6,4,2] => 10000 => [1,5]
[1,6,2,5,3,2] => [1,3,5,6,4,2] => 10000 => [1,5]
[1,6,3,2,2,5] => [1,4,3,5,6,2] => 10000 => [1,5]
[1,6,3,2,5,2] => [1,4,3,6,5,2] => 10000 => [1,5]
[1,6,3,5,2,2] => [1,5,3,6,4,2] => 10000 => [1,5]
[1,6,5,2,2,3] => [1,4,5,6,3,2] => 10000 => [1,5]
[1,6,5,2,3,2] => [1,4,5,6,3,2] => 10000 => [1,5]
[1,6,5,3,2,2] => [1,5,4,6,3,2] => 10000 => [1,5]
[2,1,2,3,5,6] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,2,3,6,5] => [2,1,3,4,6,5] => 01110 => [2,1,1,2]
[2,1,2,5,3,6] => [2,1,3,5,4,6] => 01101 => [2,1,2,1]
[2,1,2,5,6,3] => [2,1,3,6,4,5] => 01100 => [2,1,3]
[2,1,2,6,3,5] => [2,1,3,5,6,4] => 01100 => [2,1,3]
[2,1,2,6,5,3] => [2,1,3,6,5,4] => 01100 => [2,1,3]
[2,1,3,2,5,6] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,3,2,6,5] => [2,1,3,4,6,5] => 01110 => [2,1,1,2]
[2,1,3,5,2,6] => [2,1,3,5,4,6] => 01101 => [2,1,2,1]
[2,1,3,5,6,2] => [2,1,3,6,4,5] => 01100 => [2,1,3]
[2,1,3,6,2,5] => [2,1,3,5,6,4] => 01100 => [2,1,3]
[2,1,3,6,5,2] => [2,1,3,6,5,4] => 01100 => [2,1,3]
[2,1,5,2,3,6] => [2,1,4,5,3,6] => 01001 => [2,3,1]
[2,1,5,2,6,3] => [2,1,4,6,3,5] => 01000 => [2,4]
[2,1,5,3,2,6] => [2,1,4,5,3,6] => 01001 => [2,3,1]
[2,1,5,3,6,2] => [2,1,4,6,3,5] => 01000 => [2,4]
[2,1,5,6,2,3] => [2,1,5,6,3,4] => 01000 => [2,4]
[2,1,5,6,3,2] => [2,1,5,6,3,4] => 01000 => [2,4]
[2,1,6,2,3,5] => [2,1,4,5,6,3] => 01000 => [2,4]
[2,1,6,2,5,3] => [2,1,4,6,5,3] => 01000 => [2,4]
[2,1,6,3,2,5] => [2,1,4,5,6,3] => 01000 => [2,4]
[2,1,6,3,5,2] => [2,1,4,6,5,3] => 01000 => [2,4]
[2,1,6,5,2,3] => [2,1,5,6,4,3] => 01000 => [2,4]
[2,1,6,5,3,2] => [2,1,5,6,4,3] => 01000 => [2,4]
[2,2,1,3,5,6] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,2,1,3,6,5] => [3,1,2,4,6,5] => 00110 => [3,1,2]
[2,2,1,5,3,6] => [3,1,2,5,4,6] => 00101 => [3,2,1]
[2,2,1,5,6,3] => [3,1,2,6,4,5] => 00100 => [3,3]
[2,2,1,6,3,5] => [3,1,2,5,6,4] => 00100 => [3,3]
[2,2,1,6,5,3] => [3,1,2,6,5,4] => 00100 => [3,3]
[2,2,3,1,5,6] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,2,3,1,6,5] => [4,1,2,3,6,5] => 00010 => [4,2]
[2,2,3,5,1,6] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,2,3,5,6,1] => [6,1,2,3,4,5] => 00000 => [6]
[2,2,3,6,1,5] => [5,1,2,3,6,4] => 00000 => [6]
[2,2,3,6,5,1] => [6,1,2,3,5,4] => 00000 => [6]
[2,2,5,1,3,6] => [4,1,2,5,3,6] => 00001 => [5,1]
[2,2,5,1,6,3] => [4,1,2,6,3,5] => 00000 => [6]
[2,2,5,3,1,6] => [5,1,2,4,3,6] => 00001 => [5,1]
[2,2,5,3,6,1] => [6,1,2,4,3,5] => 00000 => [6]
[2,2,5,6,1,3] => [5,1,2,6,3,4] => 00000 => [6]
[2,2,5,6,3,1] => [6,1,2,5,3,4] => 00000 => [6]
[2,2,6,1,3,5] => [4,1,2,5,6,3] => 00000 => [6]
[2,2,6,1,5,3] => [4,1,2,6,5,3] => 00000 => [6]
[2,2,6,3,1,5] => [5,1,2,4,6,3] => 00000 => [6]
[2,2,6,3,5,1] => [6,1,2,4,5,3] => 00000 => [6]
[2,2,6,5,1,3] => [5,1,2,6,4,3] => 00000 => [6]
[2,2,6,5,3,1] => [6,1,2,5,4,3] => 00000 => [6]
[2,3,1,2,5,6] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,3,1,2,6,5] => [3,1,2,4,6,5] => 00110 => [3,1,2]
[2,3,1,5,2,6] => [3,1,2,5,4,6] => 00101 => [3,2,1]
[2,3,1,5,6,2] => [3,1,2,6,4,5] => 00100 => [3,3]
[2,3,1,6,2,5] => [3,1,2,5,6,4] => 00100 => [3,3]
[2,3,1,6,5,2] => [3,1,2,6,5,4] => 00100 => [3,3]
[2,3,2,1,5,6] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,3,2,1,6,5] => [4,1,2,3,6,5] => 00010 => [4,2]
[2,3,2,5,1,6] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,3,2,5,6,1] => [6,1,2,3,4,5] => 00000 => [6]
[2,3,2,6,1,5] => [5,1,2,3,6,4] => 00000 => [6]
[2,3,2,6,5,1] => [6,1,2,3,5,4] => 00000 => [6]
[2,3,5,1,2,6] => [4,1,2,5,3,6] => 00001 => [5,1]
[2,3,5,1,6,2] => [4,1,2,6,3,5] => 00000 => [6]
[2,3,5,2,1,6] => [5,1,2,4,3,6] => 00001 => [5,1]
[2,3,5,2,6,1] => [6,1,2,4,3,5] => 00000 => [6]
[2,3,5,6,1,2] => [5,1,2,6,3,4] => 00000 => [6]
[2,3,5,6,2,1] => [6,1,2,5,3,4] => 00000 => [6]
[2,3,6,1,2,5] => [4,1,2,5,6,3] => 00000 => [6]
[2,3,6,1,5,2] => [4,1,2,6,5,3] => 00000 => [6]
[2,3,6,2,1,5] => [5,1,2,4,6,3] => 00000 => [6]
[2,3,6,2,5,1] => [6,1,2,4,5,3] => 00000 => [6]
[2,3,6,5,1,2] => [5,1,2,6,4,3] => 00000 => [6]
[2,3,6,5,2,1] => [6,1,2,5,4,3] => 00000 => [6]
[2,5,1,2,3,6] => [3,1,4,5,2,6] => 00001 => [5,1]
[2,5,1,2,6,3] => [3,1,4,6,2,5] => 00000 => [6]
[2,5,1,3,2,6] => [3,1,4,5,2,6] => 00001 => [5,1]
[2,5,1,3,6,2] => [3,1,4,6,2,5] => 00000 => [6]
[2,5,1,6,2,3] => [3,1,5,6,2,4] => 00000 => [6]
[2,5,1,6,3,2] => [3,1,5,6,2,4] => 00000 => [6]
[2,5,2,1,3,6] => [4,1,3,5,2,6] => 00001 => [5,1]
[2,5,2,1,6,3] => [4,1,3,6,2,5] => 00000 => [6]
[2,5,2,3,1,6] => [5,1,3,4,2,6] => 00001 => [5,1]
[2,5,2,3,6,1] => [6,1,3,4,2,5] => 00000 => [6]
[2,5,2,6,1,3] => [5,1,3,6,2,4] => 00000 => [6]
[2,5,2,6,3,1] => [6,1,3,5,2,4] => 00000 => [6]
[2,5,3,1,2,6] => [4,1,3,5,2,6] => 00001 => [5,1]
[2,5,3,1,6,2] => [4,1,3,6,2,5] => 00000 => [6]
[2,5,3,2,1,6] => [5,1,3,4,2,6] => 00001 => [5,1]
[2,5,3,2,6,1] => [6,1,3,4,2,5] => 00000 => [6]
[2,5,3,6,1,2] => [5,1,3,6,2,4] => 00000 => [6]
[2,5,3,6,2,1] => [6,1,3,5,2,4] => 00000 => [6]
[2,5,6,1,2,3] => [4,1,5,6,2,3] => 00000 => [6]
[2,5,6,1,3,2] => [4,1,5,6,2,3] => 00000 => [6]
[2,5,6,2,1,3] => [5,1,4,6,2,3] => 00000 => [6]
[2,5,6,2,3,1] => [6,1,4,5,2,3] => 00000 => [6]
[2,5,6,3,1,2] => [5,1,4,6,2,3] => 00000 => [6]
[2,5,6,3,2,1] => [6,1,4,5,2,3] => 00000 => [6]
[2,6,1,2,3,5] => [3,1,4,5,6,2] => 00000 => [6]
[2,6,1,2,5,3] => [3,1,4,6,5,2] => 00000 => [6]
[2,6,1,3,2,5] => [3,1,4,5,6,2] => 00000 => [6]
[2,6,1,3,5,2] => [3,1,4,6,5,2] => 00000 => [6]
[2,6,1,5,2,3] => [3,1,5,6,4,2] => 00000 => [6]
[2,6,1,5,3,2] => [3,1,5,6,4,2] => 00000 => [6]
[2,6,2,1,3,5] => [4,1,3,5,6,2] => 00000 => [6]
[2,6,2,1,5,3] => [4,1,3,6,5,2] => 00000 => [6]
[2,6,2,3,1,5] => [5,1,3,4,6,2] => 00000 => [6]
[2,6,2,3,5,1] => [6,1,3,4,5,2] => 00000 => [6]
[2,6,2,5,1,3] => [5,1,3,6,4,2] => 00000 => [6]
[2,6,2,5,3,1] => [6,1,3,5,4,2] => 00000 => [6]
[2,6,3,1,2,5] => [4,1,3,5,6,2] => 00000 => [6]
[2,6,3,1,5,2] => [4,1,3,6,5,2] => 00000 => [6]
[2,6,3,2,1,5] => [5,1,3,4,6,2] => 00000 => [6]
[2,6,3,2,5,1] => [6,1,3,4,5,2] => 00000 => [6]
[2,6,3,5,1,2] => [5,1,3,6,4,2] => 00000 => [6]
[2,6,3,5,2,1] => [6,1,3,5,4,2] => 00000 => [6]
[2,6,5,1,2,3] => [4,1,5,6,3,2] => 00000 => [6]
[2,6,5,1,3,2] => [4,1,5,6,3,2] => 00000 => [6]
[2,6,5,2,1,3] => [5,1,4,6,3,2] => 00000 => [6]
[2,6,5,2,3,1] => [6,1,4,5,3,2] => 00000 => [6]
[2,6,5,3,1,2] => [5,1,4,6,3,2] => 00000 => [6]
[2,6,5,3,2,1] => [6,1,4,5,3,2] => 00000 => [6]
[3,1,2,2,5,6] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,2,2,6,5] => [2,3,1,4,6,5] => 00110 => [3,1,2]
[3,1,2,5,2,6] => [2,3,1,5,4,6] => 00101 => [3,2,1]
[3,1,2,5,6,2] => [2,3,1,6,4,5] => 00100 => [3,3]
[3,1,2,6,2,5] => [2,3,1,5,6,4] => 00100 => [3,3]
[3,1,2,6,5,2] => [2,3,1,6,5,4] => 00100 => [3,3]
[3,1,5,2,2,6] => [2,4,1,5,3,6] => 00001 => [5,1]
[3,1,5,2,6,2] => [2,4,1,6,3,5] => 00000 => [6]
[3,1,5,6,2,2] => [2,5,1,6,3,4] => 00000 => [6]
[3,1,6,2,2,5] => [2,4,1,5,6,3] => 00000 => [6]
[3,1,6,2,5,2] => [2,4,1,6,5,3] => 00000 => [6]
[3,1,6,5,2,2] => [2,5,1,6,4,3] => 00000 => [6]
[3,2,1,2,5,6] => [3,2,1,4,5,6] => 00111 => [3,1,1,1]
[3,2,1,2,6,5] => [3,2,1,4,6,5] => 00110 => [3,1,2]
[3,2,1,5,2,6] => [3,2,1,5,4,6] => 00101 => [3,2,1]
[3,2,1,5,6,2] => [3,2,1,6,4,5] => 00100 => [3,3]
[3,2,1,6,2,5] => [3,2,1,5,6,4] => 00100 => [3,3]
[3,2,1,6,5,2] => [3,2,1,6,5,4] => 00100 => [3,3]
[3,2,2,1,5,6] => [4,2,1,3,5,6] => 00011 => [4,1,1]
[3,2,2,1,6,5] => [4,2,1,3,6,5] => 00010 => [4,2]
[3,2,2,5,1,6] => [5,2,1,3,4,6] => 00001 => [5,1]
[3,2,2,5,6,1] => [6,2,1,3,4,5] => 00000 => [6]
[3,2,2,6,1,5] => [5,2,1,3,6,4] => 00000 => [6]
[3,2,2,6,5,1] => [6,2,1,3,5,4] => 00000 => [6]
[3,2,5,1,2,6] => [4,2,1,5,3,6] => 00001 => [5,1]
[3,2,5,1,6,2] => [4,2,1,6,3,5] => 00000 => [6]
[3,2,5,2,1,6] => [5,2,1,4,3,6] => 00001 => [5,1]
[3,2,5,2,6,1] => [6,2,1,4,3,5] => 00000 => [6]
[3,2,5,6,1,2] => [5,2,1,6,3,4] => 00000 => [6]
[3,2,5,6,2,1] => [6,2,1,5,3,4] => 00000 => [6]
[3,2,6,1,2,5] => [4,2,1,5,6,3] => 00000 => [6]
[3,2,6,1,5,2] => [4,2,1,6,5,3] => 00000 => [6]
[3,2,6,2,1,5] => [5,2,1,4,6,3] => 00000 => [6]
[3,2,6,2,5,1] => [6,2,1,4,5,3] => 00000 => [6]
[3,2,6,5,1,2] => [5,2,1,6,4,3] => 00000 => [6]
[3,2,6,5,2,1] => [6,2,1,5,4,3] => 00000 => [6]
[3,5,1,2,2,6] => [3,4,1,5,2,6] => 00001 => [5,1]
[3,5,1,2,6,2] => [3,4,1,6,2,5] => 00000 => [6]
[3,5,1,6,2,2] => [3,5,1,6,2,4] => 00000 => [6]
[3,5,2,1,2,6] => [4,3,1,5,2,6] => 00001 => [5,1]
[3,5,2,1,6,2] => [4,3,1,6,2,5] => 00000 => [6]
[3,5,2,2,1,6] => [5,3,1,4,2,6] => 00001 => [5,1]
[3,5,2,2,6,1] => [6,3,1,4,2,5] => 00000 => [6]
[3,5,2,6,1,2] => [5,3,1,6,2,4] => 00000 => [6]
[3,5,2,6,2,1] => [6,3,1,5,2,4] => 00000 => [6]
[3,5,6,1,2,2] => [4,5,1,6,2,3] => 00000 => [6]
[3,5,6,2,1,2] => [5,4,1,6,2,3] => 00000 => [6]
[3,5,6,2,2,1] => [6,4,1,5,2,3] => 00000 => [6]
[3,6,1,2,2,5] => [3,4,1,5,6,2] => 00000 => [6]
[3,6,1,2,5,2] => [3,4,1,6,5,2] => 00000 => [6]
[3,6,1,5,2,2] => [3,5,1,6,4,2] => 00000 => [6]
[3,6,2,1,2,5] => [4,3,1,5,6,2] => 00000 => [6]
[3,6,2,1,5,2] => [4,3,1,6,5,2] => 00000 => [6]
[3,6,2,2,1,5] => [5,3,1,4,6,2] => 00000 => [6]
[3,6,2,2,5,1] => [6,3,1,4,5,2] => 00000 => [6]
[3,6,2,5,1,2] => [5,3,1,6,4,2] => 00000 => [6]
[3,6,2,5,2,1] => [6,3,1,5,4,2] => 00000 => [6]
[3,6,5,1,2,2] => [4,5,1,6,3,2] => 00000 => [6]
[3,6,5,2,1,2] => [5,4,1,6,3,2] => 00000 => [6]
[3,6,5,2,2,1] => [6,4,1,5,3,2] => 00000 => [6]
[5,1,2,2,3,6] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,2,2,6,3] => [2,3,4,6,1,5] => 00000 => [6]
[5,1,2,3,2,6] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,2,3,6,2] => [2,3,4,6,1,5] => 00000 => [6]
[5,1,2,6,2,3] => [2,3,5,6,1,4] => 00000 => [6]
[5,1,2,6,3,2] => [2,3,5,6,1,4] => 00000 => [6]
[5,1,3,2,2,6] => [2,4,3,5,1,6] => 00001 => [5,1]
[5,1,3,2,6,2] => [2,4,3,6,1,5] => 00000 => [6]
[5,1,3,6,2,2] => [2,5,3,6,1,4] => 00000 => [6]
[5,1,6,2,2,3] => [2,4,5,6,1,3] => 00000 => [6]
[5,1,6,2,3,2] => [2,4,5,6,1,3] => 00000 => [6]
[5,1,6,3,2,2] => [2,5,4,6,1,3] => 00000 => [6]
[5,2,1,2,3,6] => [3,2,4,5,1,6] => 00001 => [5,1]
[5,2,1,2,6,3] => [3,2,4,6,1,5] => 00000 => [6]
[5,2,1,3,2,6] => [3,2,4,5,1,6] => 00001 => [5,1]
[5,2,1,3,6,2] => [3,2,4,6,1,5] => 00000 => [6]
[5,2,1,6,2,3] => [3,2,5,6,1,4] => 00000 => [6]
[5,2,1,6,3,2] => [3,2,5,6,1,4] => 00000 => [6]
[5,2,2,1,3,6] => [4,2,3,5,1,6] => 00001 => [5,1]
[5,2,2,1,6,3] => [4,2,3,6,1,5] => 00000 => [6]
[5,2,2,3,1,6] => [5,2,3,4,1,6] => 00001 => [5,1]
[5,2,2,3,6,1] => [6,2,3,4,1,5] => 00000 => [6]
[5,2,2,6,1,3] => [5,2,3,6,1,4] => 00000 => [6]
[5,2,2,6,3,1] => [6,2,3,5,1,4] => 00000 => [6]
[5,2,3,1,2,6] => [4,2,3,5,1,6] => 00001 => [5,1]
[5,2,3,1,6,2] => [4,2,3,6,1,5] => 00000 => [6]
[5,2,3,2,1,6] => [5,2,3,4,1,6] => 00001 => [5,1]
[5,2,3,2,6,1] => [6,2,3,4,1,5] => 00000 => [6]
[5,2,3,6,1,2] => [5,2,3,6,1,4] => 00000 => [6]
[5,2,3,6,2,1] => [6,2,3,5,1,4] => 00000 => [6]
[5,2,6,1,2,3] => [4,2,5,6,1,3] => 00000 => [6]
[5,2,6,1,3,2] => [4,2,5,6,1,3] => 00000 => [6]
[5,2,6,2,1,3] => [5,2,4,6,1,3] => 00000 => [6]
[5,2,6,2,3,1] => [6,2,4,5,1,3] => 00000 => [6]
[5,2,6,3,1,2] => [5,2,4,6,1,3] => 00000 => [6]
[5,2,6,3,2,1] => [6,2,4,5,1,3] => 00000 => [6]
[5,3,1,2,2,6] => [3,4,2,5,1,6] => 00001 => [5,1]
[5,3,1,2,6,2] => [3,4,2,6,1,5] => 00000 => [6]
[5,3,1,6,2,2] => [3,5,2,6,1,4] => 00000 => [6]
[5,3,2,1,2,6] => [4,3,2,5,1,6] => 00001 => [5,1]
[5,3,2,1,6,2] => [4,3,2,6,1,5] => 00000 => [6]
[5,3,2,2,1,6] => [5,3,2,4,1,6] => 00001 => [5,1]
[5,3,2,2,6,1] => [6,3,2,4,1,5] => 00000 => [6]
[5,3,2,6,1,2] => [5,3,2,6,1,4] => 00000 => [6]
[5,3,2,6,2,1] => [6,3,2,5,1,4] => 00000 => [6]
[5,3,6,1,2,2] => [4,5,2,6,1,3] => 00000 => [6]
[5,3,6,2,1,2] => [5,4,2,6,1,3] => 00000 => [6]
[5,3,6,2,2,1] => [6,4,2,5,1,3] => 00000 => [6]
[5,6,1,2,2,3] => [3,4,5,6,1,2] => 00000 => [6]
[5,6,1,2,3,2] => [3,4,5,6,1,2] => 00000 => [6]
[5,6,1,3,2,2] => [3,5,4,6,1,2] => 00000 => [6]
[5,6,2,1,2,3] => [4,3,5,6,1,2] => 00000 => [6]
[5,6,2,1,3,2] => [4,3,5,6,1,2] => 00000 => [6]
[5,6,2,2,1,3] => [5,3,4,6,1,2] => 00000 => [6]
[5,6,2,2,3,1] => [6,3,4,5,1,2] => 00000 => [6]
[5,6,2,3,1,2] => [5,3,4,6,1,2] => 00000 => [6]
[5,6,2,3,2,1] => [6,3,4,5,1,2] => 00000 => [6]
[5,6,3,1,2,2] => [4,5,3,6,1,2] => 00000 => [6]
[5,6,3,2,1,2] => [5,4,3,6,1,2] => 00000 => [6]
[5,6,3,2,2,1] => [6,4,3,5,1,2] => 00000 => [6]
[6,1,2,2,3,5] => [2,3,4,5,6,1] => 00000 => [6]
[6,1,2,2,5,3] => [2,3,4,6,5,1] => 00000 => [6]
[6,1,2,3,2,5] => [2,3,4,5,6,1] => 00000 => [6]
[6,1,2,3,5,2] => [2,3,4,6,5,1] => 00000 => [6]
[6,1,2,5,2,3] => [2,3,5,6,4,1] => 00000 => [6]
[6,1,2,5,3,2] => [2,3,5,6,4,1] => 00000 => [6]
[6,1,3,2,2,5] => [2,4,3,5,6,1] => 00000 => [6]
[6,1,3,2,5,2] => [2,4,3,6,5,1] => 00000 => [6]
[6,1,3,5,2,2] => [2,5,3,6,4,1] => 00000 => [6]
[6,1,5,2,2,3] => [2,4,5,6,3,1] => 00000 => [6]
[6,1,5,2,3,2] => [2,4,5,6,3,1] => 00000 => [6]
[6,1,5,3,2,2] => [2,5,4,6,3,1] => 00000 => [6]
[6,2,1,2,3,5] => [3,2,4,5,6,1] => 00000 => [6]
[6,2,1,2,5,3] => [3,2,4,6,5,1] => 00000 => [6]
[6,2,1,3,2,5] => [3,2,4,5,6,1] => 00000 => [6]
[6,2,1,3,5,2] => [3,2,4,6,5,1] => 00000 => [6]
[6,2,1,5,2,3] => [3,2,5,6,4,1] => 00000 => [6]
[6,2,1,5,3,2] => [3,2,5,6,4,1] => 00000 => [6]
[6,2,2,1,3,5] => [4,2,3,5,6,1] => 00000 => [6]
[6,2,2,1,5,3] => [4,2,3,6,5,1] => 00000 => [6]
[6,2,2,3,1,5] => [5,2,3,4,6,1] => 00000 => [6]
[6,2,2,3,5,1] => [6,2,3,4,5,1] => 00000 => [6]
[6,2,2,5,1,3] => [5,2,3,6,4,1] => 00000 => [6]
[6,2,2,5,3,1] => [6,2,3,5,4,1] => 00000 => [6]
[6,2,3,1,2,5] => [4,2,3,5,6,1] => 00000 => [6]
[6,2,3,1,5,2] => [4,2,3,6,5,1] => 00000 => [6]
[6,2,3,2,1,5] => [5,2,3,4,6,1] => 00000 => [6]
[6,2,3,2,5,1] => [6,2,3,4,5,1] => 00000 => [6]
[6,2,3,5,1,2] => [5,2,3,6,4,1] => 00000 => [6]
[6,2,3,5,2,1] => [6,2,3,5,4,1] => 00000 => [6]
[6,2,5,1,2,3] => [4,2,5,6,3,1] => 00000 => [6]
[6,2,5,1,3,2] => [4,2,5,6,3,1] => 00000 => [6]
[6,2,5,2,1,3] => [5,2,4,6,3,1] => 00000 => [6]
[6,2,5,2,3,1] => [6,2,4,5,3,1] => 00000 => [6]
[6,2,5,3,1,2] => [5,2,4,6,3,1] => 00000 => [6]
[6,2,5,3,2,1] => [6,2,4,5,3,1] => 00000 => [6]
[6,3,1,2,2,5] => [3,4,2,5,6,1] => 00000 => [6]
[6,3,1,2,5,2] => [3,4,2,6,5,1] => 00000 => [6]
[6,3,1,5,2,2] => [3,5,2,6,4,1] => 00000 => [6]
[6,3,2,1,2,5] => [4,3,2,5,6,1] => 00000 => [6]
[6,3,2,1,5,2] => [4,3,2,6,5,1] => 00000 => [6]
[6,3,2,2,1,5] => [5,3,2,4,6,1] => 00000 => [6]
[6,3,2,2,5,1] => [6,3,2,4,5,1] => 00000 => [6]
[6,3,2,5,1,2] => [5,3,2,6,4,1] => 00000 => [6]
[6,3,2,5,2,1] => [6,3,2,5,4,1] => 00000 => [6]
[6,3,5,1,2,2] => [4,5,2,6,3,1] => 00000 => [6]
[6,3,5,2,1,2] => [5,4,2,6,3,1] => 00000 => [6]
[6,3,5,2,2,1] => [6,4,2,5,3,1] => 00000 => [6]
[6,5,1,2,2,3] => [3,4,5,6,2,1] => 00000 => [6]
[6,5,1,2,3,2] => [3,4,5,6,2,1] => 00000 => [6]
[6,5,1,3,2,2] => [3,5,4,6,2,1] => 00000 => [6]
[6,5,2,1,2,3] => [4,3,5,6,2,1] => 00000 => [6]
[6,5,2,1,3,2] => [4,3,5,6,2,1] => 00000 => [6]
[6,5,2,2,1,3] => [5,3,4,6,2,1] => 00000 => [6]
[6,5,2,2,3,1] => [6,3,4,5,2,1] => 00000 => [6]
[6,5,2,3,1,2] => [5,3,4,6,2,1] => 00000 => [6]
[6,5,2,3,2,1] => [6,3,4,5,2,1] => 00000 => [6]
[6,5,3,1,2,2] => [4,5,3,6,2,1] => 00000 => [6]
[6,5,3,2,1,2] => [5,4,3,6,2,1] => 00000 => [6]
[6,5,3,2,2,1] => [6,4,3,5,2,1] => 00000 => [6]
[1,2,2,4,4,4] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,4,2,4,4] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,2,4,4,2,4] => [1,2,5,3,4,6] => 11001 => [1,1,3,1]
[1,2,4,4,4,2] => [1,2,6,3,4,5] => 11000 => [1,1,4]
[1,4,2,2,4,4] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,2,4,2,4] => [1,3,5,2,4,6] => 10001 => [1,4,1]
[1,4,2,4,4,2] => [1,3,6,2,4,5] => 10000 => [1,5]
[1,4,4,2,2,4] => [1,4,5,2,3,6] => 10001 => [1,4,1]
[1,4,4,2,4,2] => [1,4,6,2,3,5] => 10000 => [1,5]
[1,4,4,4,2,2] => [1,5,6,2,3,4] => 10000 => [1,5]
[2,1,2,4,4,4] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,4,2,4,4] => [2,1,4,3,5,6] => 01011 => [2,2,1,1]
[2,1,4,4,2,4] => [2,1,5,3,4,6] => 01001 => [2,3,1]
[2,1,4,4,4,2] => [2,1,6,3,4,5] => 01000 => [2,4]
[2,2,1,4,4,4] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,2,4,1,4,4] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,2,4,4,1,4] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,2,4,4,4,1] => [6,1,2,3,4,5] => 00000 => [6]
[2,4,1,2,4,4] => [3,1,4,2,5,6] => 00011 => [4,1,1]
[2,4,1,4,2,4] => [3,1,5,2,4,6] => 00001 => [5,1]
[2,4,1,4,4,2] => [3,1,6,2,4,5] => 00000 => [6]
[2,4,2,1,4,4] => [4,1,3,2,5,6] => 00011 => [4,1,1]
[2,4,2,4,1,4] => [5,1,3,2,4,6] => 00001 => [5,1]
[2,4,2,4,4,1] => [6,1,3,2,4,5] => 00000 => [6]
[2,4,4,1,2,4] => [4,1,5,2,3,6] => 00001 => [5,1]
[2,4,4,1,4,2] => [4,1,6,2,3,5] => 00000 => [6]
[2,4,4,2,1,4] => [5,1,4,2,3,6] => 00001 => [5,1]
[2,4,4,2,4,1] => [6,1,4,2,3,5] => 00000 => [6]
[2,4,4,4,1,2] => [5,1,6,2,3,4] => 00000 => [6]
[2,4,4,4,2,1] => [6,1,5,2,3,4] => 00000 => [6]
[4,1,2,2,4,4] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,2,4,2,4] => [2,3,5,1,4,6] => 00001 => [5,1]
[4,1,2,4,4,2] => [2,3,6,1,4,5] => 00000 => [6]
[4,1,4,2,2,4] => [2,4,5,1,3,6] => 00001 => [5,1]
[4,1,4,2,4,2] => [2,4,6,1,3,5] => 00000 => [6]
[4,1,4,4,2,2] => [2,5,6,1,3,4] => 00000 => [6]
[4,2,1,2,4,4] => [3,2,4,1,5,6] => 00011 => [4,1,1]
[4,2,1,4,2,4] => [3,2,5,1,4,6] => 00001 => [5,1]
[4,2,1,4,4,2] => [3,2,6,1,4,5] => 00000 => [6]
[4,2,2,1,4,4] => [4,2,3,1,5,6] => 00011 => [4,1,1]
[4,2,2,4,1,4] => [5,2,3,1,4,6] => 00001 => [5,1]
[4,2,2,4,4,1] => [6,2,3,1,4,5] => 00000 => [6]
[4,2,4,1,2,4] => [4,2,5,1,3,6] => 00001 => [5,1]
[4,2,4,1,4,2] => [4,2,6,1,3,5] => 00000 => [6]
[4,2,4,2,1,4] => [5,2,4,1,3,6] => 00001 => [5,1]
[4,2,4,2,4,1] => [6,2,4,1,3,5] => 00000 => [6]
[4,2,4,4,1,2] => [5,2,6,1,3,4] => 00000 => [6]
[4,2,4,4,2,1] => [6,2,5,1,3,4] => 00000 => [6]
[4,4,1,2,2,4] => [3,4,5,1,2,6] => 00001 => [5,1]
[4,4,1,2,4,2] => [3,4,6,1,2,5] => 00000 => [6]
[4,4,1,4,2,2] => [3,5,6,1,2,4] => 00000 => [6]
[4,4,2,1,2,4] => [4,3,5,1,2,6] => 00001 => [5,1]
[4,4,2,1,4,2] => [4,3,6,1,2,5] => 00000 => [6]
[4,4,2,2,1,4] => [5,3,4,1,2,6] => 00001 => [5,1]
[4,4,2,2,4,1] => [6,3,4,1,2,5] => 00000 => [6]
[4,4,2,4,1,2] => [5,3,6,1,2,4] => 00000 => [6]
[4,4,2,4,2,1] => [6,3,5,1,2,4] => 00000 => [6]
[4,4,4,1,2,2] => [4,5,6,1,2,3] => 00000 => [6]
[4,4,4,2,1,2] => [5,4,6,1,2,3] => 00000 => [6]
[4,4,4,2,2,1] => [6,4,5,1,2,3] => 00000 => [6]
[1,2,2,4,4,5] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,2,4,5,4] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,2,5,4,4] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,2,4,2,4,5] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,2,4,2,5,4] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,2,4,4,2,5] => [1,2,5,3,4,6] => 11001 => [1,1,3,1]
[1,2,4,4,5,2] => [1,2,6,3,4,5] => 11000 => [1,1,4]
[1,2,4,5,2,4] => [1,2,5,3,4,6] => 11001 => [1,1,3,1]
[1,2,4,5,4,2] => [1,2,6,3,4,5] => 11000 => [1,1,4]
[1,2,5,2,4,4] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,2,5,4,2,4] => [1,2,5,4,3,6] => 11001 => [1,1,3,1]
[1,2,5,4,4,2] => [1,2,6,4,3,5] => 11000 => [1,1,4]
[1,4,2,2,4,5] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,2,2,5,4] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,2,4,2,5] => [1,3,5,2,4,6] => 10001 => [1,4,1]
[1,4,2,4,5,2] => [1,3,6,2,4,5] => 10000 => [1,5]
[1,4,2,5,2,4] => [1,3,5,2,4,6] => 10001 => [1,4,1]
[1,4,2,5,4,2] => [1,3,6,2,4,5] => 10000 => [1,5]
[1,4,4,2,2,5] => [1,4,5,2,3,6] => 10001 => [1,4,1]
[1,4,4,2,5,2] => [1,4,6,2,3,5] => 10000 => [1,5]
[1,4,4,5,2,2] => [1,5,6,2,3,4] => 10000 => [1,5]
[1,4,5,2,2,4] => [1,4,5,2,3,6] => 10001 => [1,4,1]
[1,4,5,2,4,2] => [1,4,6,2,3,5] => 10000 => [1,5]
[1,4,5,4,2,2] => [1,5,6,2,3,4] => 10000 => [1,5]
[1,5,2,2,4,4] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,2,4,2,4] => [1,3,5,4,2,6] => 10001 => [1,4,1]
[1,5,2,4,4,2] => [1,3,6,4,2,5] => 10000 => [1,5]
[1,5,4,2,2,4] => [1,4,5,3,2,6] => 10001 => [1,4,1]
[1,5,4,2,4,2] => [1,4,6,3,2,5] => 10000 => [1,5]
[1,5,4,4,2,2] => [1,5,6,3,2,4] => 10000 => [1,5]
[2,1,2,4,4,5] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,2,4,5,4] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,2,5,4,4] => [2,1,3,5,4,6] => 01101 => [2,1,2,1]
[2,1,4,2,4,5] => [2,1,4,3,5,6] => 01011 => [2,2,1,1]
[2,1,4,2,5,4] => [2,1,4,3,5,6] => 01011 => [2,2,1,1]
[2,1,4,4,2,5] => [2,1,5,3,4,6] => 01001 => [2,3,1]
[2,1,4,4,5,2] => [2,1,6,3,4,5] => 01000 => [2,4]
[2,1,4,5,2,4] => [2,1,5,3,4,6] => 01001 => [2,3,1]
[2,1,4,5,4,2] => [2,1,6,3,4,5] => 01000 => [2,4]
[2,1,5,2,4,4] => [2,1,4,5,3,6] => 01001 => [2,3,1]
[2,1,5,4,2,4] => [2,1,5,4,3,6] => 01001 => [2,3,1]
[2,1,5,4,4,2] => [2,1,6,4,3,5] => 01000 => [2,4]
[2,2,1,4,4,5] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,2,1,4,5,4] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,2,1,5,4,4] => [3,1,2,5,4,6] => 00101 => [3,2,1]
[2,2,4,1,4,5] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,2,4,1,5,4] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,2,4,4,1,5] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,2,4,4,5,1] => [6,1,2,3,4,5] => 00000 => [6]
[2,2,4,5,1,4] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,2,4,5,4,1] => [6,1,2,3,4,5] => 00000 => [6]
[2,2,5,1,4,4] => [4,1,2,5,3,6] => 00001 => [5,1]
[2,2,5,4,1,4] => [5,1,2,4,3,6] => 00001 => [5,1]
[2,2,5,4,4,1] => [6,1,2,4,3,5] => 00000 => [6]
[2,4,1,2,4,5] => [3,1,4,2,5,6] => 00011 => [4,1,1]
[2,4,1,2,5,4] => [3,1,4,2,5,6] => 00011 => [4,1,1]
[2,4,1,4,2,5] => [3,1,5,2,4,6] => 00001 => [5,1]
[2,4,1,4,5,2] => [3,1,6,2,4,5] => 00000 => [6]
[2,4,1,5,2,4] => [3,1,5,2,4,6] => 00001 => [5,1]
[2,4,1,5,4,2] => [3,1,6,2,4,5] => 00000 => [6]
[2,4,2,1,4,5] => [4,1,3,2,5,6] => 00011 => [4,1,1]
[2,4,2,1,5,4] => [4,1,3,2,5,6] => 00011 => [4,1,1]
[2,4,2,4,1,5] => [5,1,3,2,4,6] => 00001 => [5,1]
[2,4,2,4,5,1] => [6,1,3,2,4,5] => 00000 => [6]
[2,4,2,5,1,4] => [5,1,3,2,4,6] => 00001 => [5,1]
[2,4,2,5,4,1] => [6,1,3,2,4,5] => 00000 => [6]
[2,4,4,1,2,5] => [4,1,5,2,3,6] => 00001 => [5,1]
[2,4,4,1,5,2] => [4,1,6,2,3,5] => 00000 => [6]
[2,4,4,2,1,5] => [5,1,4,2,3,6] => 00001 => [5,1]
[2,4,4,2,5,1] => [6,1,4,2,3,5] => 00000 => [6]
[2,4,4,5,1,2] => [5,1,6,2,3,4] => 00000 => [6]
[2,4,4,5,2,1] => [6,1,5,2,3,4] => 00000 => [6]
[2,4,5,1,2,4] => [4,1,5,2,3,6] => 00001 => [5,1]
[2,4,5,1,4,2] => [4,1,6,2,3,5] => 00000 => [6]
[2,4,5,2,1,4] => [5,1,4,2,3,6] => 00001 => [5,1]
[2,4,5,2,4,1] => [6,1,4,2,3,5] => 00000 => [6]
[2,4,5,4,1,2] => [5,1,6,2,3,4] => 00000 => [6]
[2,4,5,4,2,1] => [6,1,5,2,3,4] => 00000 => [6]
[2,5,1,2,4,4] => [3,1,4,5,2,6] => 00001 => [5,1]
[2,5,1,4,2,4] => [3,1,5,4,2,6] => 00001 => [5,1]
[2,5,1,4,4,2] => [3,1,6,4,2,5] => 00000 => [6]
[2,5,2,1,4,4] => [4,1,3,5,2,6] => 00001 => [5,1]
[2,5,2,4,1,4] => [5,1,3,4,2,6] => 00001 => [5,1]
[2,5,2,4,4,1] => [6,1,3,4,2,5] => 00000 => [6]
[2,5,4,1,2,4] => [4,1,5,3,2,6] => 00001 => [5,1]
[2,5,4,1,4,2] => [4,1,6,3,2,5] => 00000 => [6]
[2,5,4,2,1,4] => [5,1,4,3,2,6] => 00001 => [5,1]
[2,5,4,2,4,1] => [6,1,4,3,2,5] => 00000 => [6]
[2,5,4,4,1,2] => [5,1,6,3,2,4] => 00000 => [6]
[2,5,4,4,2,1] => [6,1,5,3,2,4] => 00000 => [6]
[4,1,2,2,4,5] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,2,2,5,4] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,2,4,2,5] => [2,3,5,1,4,6] => 00001 => [5,1]
[4,1,2,4,5,2] => [2,3,6,1,4,5] => 00000 => [6]
[4,1,2,5,2,4] => [2,3,5,1,4,6] => 00001 => [5,1]
[4,1,2,5,4,2] => [2,3,6,1,4,5] => 00000 => [6]
[4,1,4,2,2,5] => [2,4,5,1,3,6] => 00001 => [5,1]
[4,1,4,2,5,2] => [2,4,6,1,3,5] => 00000 => [6]
[4,1,4,5,2,2] => [2,5,6,1,3,4] => 00000 => [6]
[4,1,5,2,2,4] => [2,4,5,1,3,6] => 00001 => [5,1]
[4,1,5,2,4,2] => [2,4,6,1,3,5] => 00000 => [6]
[4,1,5,4,2,2] => [2,5,6,1,3,4] => 00000 => [6]
[4,2,1,2,4,5] => [3,2,4,1,5,6] => 00011 => [4,1,1]
[4,2,1,2,5,4] => [3,2,4,1,5,6] => 00011 => [4,1,1]
[4,2,1,4,2,5] => [3,2,5,1,4,6] => 00001 => [5,1]
[4,2,1,4,5,2] => [3,2,6,1,4,5] => 00000 => [6]
[4,2,1,5,2,4] => [3,2,5,1,4,6] => 00001 => [5,1]
[4,2,1,5,4,2] => [3,2,6,1,4,5] => 00000 => [6]
[4,2,2,1,4,5] => [4,2,3,1,5,6] => 00011 => [4,1,1]
[4,2,2,1,5,4] => [4,2,3,1,5,6] => 00011 => [4,1,1]
[4,2,2,4,1,5] => [5,2,3,1,4,6] => 00001 => [5,1]
[4,2,2,4,5,1] => [6,2,3,1,4,5] => 00000 => [6]
[4,2,2,5,1,4] => [5,2,3,1,4,6] => 00001 => [5,1]
[4,2,2,5,4,1] => [6,2,3,1,4,5] => 00000 => [6]
[4,2,4,1,2,5] => [4,2,5,1,3,6] => 00001 => [5,1]
[4,2,4,1,5,2] => [4,2,6,1,3,5] => 00000 => [6]
[4,2,4,2,1,5] => [5,2,4,1,3,6] => 00001 => [5,1]
[4,2,4,2,5,1] => [6,2,4,1,3,5] => 00000 => [6]
[4,2,4,5,1,2] => [5,2,6,1,3,4] => 00000 => [6]
[4,2,4,5,2,1] => [6,2,5,1,3,4] => 00000 => [6]
[4,2,5,1,2,4] => [4,2,5,1,3,6] => 00001 => [5,1]
[4,2,5,1,4,2] => [4,2,6,1,3,5] => 00000 => [6]
[4,2,5,2,1,4] => [5,2,4,1,3,6] => 00001 => [5,1]
[4,2,5,2,4,1] => [6,2,4,1,3,5] => 00000 => [6]
[4,2,5,4,1,2] => [5,2,6,1,3,4] => 00000 => [6]
[4,2,5,4,2,1] => [6,2,5,1,3,4] => 00000 => [6]
[4,4,1,2,2,5] => [3,4,5,1,2,6] => 00001 => [5,1]
[4,4,1,2,5,2] => [3,4,6,1,2,5] => 00000 => [6]
[4,4,1,5,2,2] => [3,5,6,1,2,4] => 00000 => [6]
[4,4,2,1,2,5] => [4,3,5,1,2,6] => 00001 => [5,1]
[4,4,2,1,5,2] => [4,3,6,1,2,5] => 00000 => [6]
[4,4,2,2,1,5] => [5,3,4,1,2,6] => 00001 => [5,1]
[4,4,2,2,5,1] => [6,3,4,1,2,5] => 00000 => [6]
[4,4,2,5,1,2] => [5,3,6,1,2,4] => 00000 => [6]
[4,4,2,5,2,1] => [6,3,5,1,2,4] => 00000 => [6]
[4,4,5,1,2,2] => [4,5,6,1,2,3] => 00000 => [6]
[4,4,5,2,1,2] => [5,4,6,1,2,3] => 00000 => [6]
[4,4,5,2,2,1] => [6,4,5,1,2,3] => 00000 => [6]
[4,5,1,2,2,4] => [3,4,5,1,2,6] => 00001 => [5,1]
[4,5,1,2,4,2] => [3,4,6,1,2,5] => 00000 => [6]
[4,5,1,4,2,2] => [3,5,6,1,2,4] => 00000 => [6]
[4,5,2,1,2,4] => [4,3,5,1,2,6] => 00001 => [5,1]
[4,5,2,1,4,2] => [4,3,6,1,2,5] => 00000 => [6]
[4,5,2,2,1,4] => [5,3,4,1,2,6] => 00001 => [5,1]
[4,5,2,2,4,1] => [6,3,4,1,2,5] => 00000 => [6]
[4,5,2,4,1,2] => [5,3,6,1,2,4] => 00000 => [6]
[4,5,2,4,2,1] => [6,3,5,1,2,4] => 00000 => [6]
[4,5,4,1,2,2] => [4,5,6,1,2,3] => 00000 => [6]
[4,5,4,2,1,2] => [5,4,6,1,2,3] => 00000 => [6]
[4,5,4,2,2,1] => [6,4,5,1,2,3] => 00000 => [6]
[5,1,2,2,4,4] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,2,4,2,4] => [2,3,5,4,1,6] => 00001 => [5,1]
[5,1,2,4,4,2] => [2,3,6,4,1,5] => 00000 => [6]
[5,1,4,2,2,4] => [2,4,5,3,1,6] => 00001 => [5,1]
[5,1,4,2,4,2] => [2,4,6,3,1,5] => 00000 => [6]
[5,1,4,4,2,2] => [2,5,6,3,1,4] => 00000 => [6]
[5,2,1,2,4,4] => [3,2,4,5,1,6] => 00001 => [5,1]
[5,2,1,4,2,4] => [3,2,5,4,1,6] => 00001 => [5,1]
[5,2,1,4,4,2] => [3,2,6,4,1,5] => 00000 => [6]
[5,2,2,1,4,4] => [4,2,3,5,1,6] => 00001 => [5,1]
[5,2,2,4,1,4] => [5,2,3,4,1,6] => 00001 => [5,1]
[5,2,2,4,4,1] => [6,2,3,4,1,5] => 00000 => [6]
[5,2,4,1,2,4] => [4,2,5,3,1,6] => 00001 => [5,1]
[5,2,4,1,4,2] => [4,2,6,3,1,5] => 00000 => [6]
[5,2,4,2,1,4] => [5,2,4,3,1,6] => 00001 => [5,1]
[5,2,4,2,4,1] => [6,2,4,3,1,5] => 00000 => [6]
[5,2,4,4,1,2] => [5,2,6,3,1,4] => 00000 => [6]
[5,2,4,4,2,1] => [6,2,5,3,1,4] => 00000 => [6]
[5,4,1,2,2,4] => [3,4,5,2,1,6] => 00001 => [5,1]
[5,4,1,2,4,2] => [3,4,6,2,1,5] => 00000 => [6]
[5,4,1,4,2,2] => [3,5,6,2,1,4] => 00000 => [6]
[5,4,2,1,2,4] => [4,3,5,2,1,6] => 00001 => [5,1]
[5,4,2,1,4,2] => [4,3,6,2,1,5] => 00000 => [6]
[5,4,2,2,1,4] => [5,3,4,2,1,6] => 00001 => [5,1]
[5,4,2,2,4,1] => [6,3,4,2,1,5] => 00000 => [6]
[5,4,2,4,1,2] => [5,3,6,2,1,4] => 00000 => [6]
[5,4,2,4,2,1] => [6,3,5,2,1,4] => 00000 => [6]
[5,4,4,1,2,2] => [4,5,6,2,1,3] => 00000 => [6]
[5,4,4,2,1,2] => [5,4,6,2,1,3] => 00000 => [6]
[5,4,4,2,2,1] => [6,4,5,2,1,3] => 00000 => [6]
[1,2,2,4,4,6] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,2,4,6,4] => [1,2,3,4,6,5] => 11110 => [1,1,1,1,2]
[1,2,2,6,4,4] => [1,2,3,5,6,4] => 11100 => [1,1,1,3]
[1,2,4,2,4,6] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,2,4,2,6,4] => [1,2,4,3,6,5] => 11010 => [1,1,2,2]
[1,2,4,4,2,6] => [1,2,5,3,4,6] => 11001 => [1,1,3,1]
[1,2,4,4,6,2] => [1,2,6,3,4,5] => 11000 => [1,1,4]
[1,2,4,6,2,4] => [1,2,5,3,6,4] => 11000 => [1,1,4]
[1,2,4,6,4,2] => [1,2,6,3,5,4] => 11000 => [1,1,4]
[1,2,6,2,4,4] => [1,2,4,5,6,3] => 11000 => [1,1,4]
[1,2,6,4,2,4] => [1,2,5,4,6,3] => 11000 => [1,1,4]
[1,2,6,4,4,2] => [1,2,6,4,5,3] => 11000 => [1,1,4]
[1,4,2,2,4,6] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,2,2,6,4] => [1,3,4,2,6,5] => 10010 => [1,3,2]
[1,4,2,4,2,6] => [1,3,5,2,4,6] => 10001 => [1,4,1]
[1,4,2,4,6,2] => [1,3,6,2,4,5] => 10000 => [1,5]
[1,4,2,6,2,4] => [1,3,5,2,6,4] => 10000 => [1,5]
[1,4,2,6,4,2] => [1,3,6,2,5,4] => 10000 => [1,5]
[1,4,4,2,2,6] => [1,4,5,2,3,6] => 10001 => [1,4,1]
[1,4,4,2,6,2] => [1,4,6,2,3,5] => 10000 => [1,5]
[1,4,4,6,2,2] => [1,5,6,2,3,4] => 10000 => [1,5]
[1,4,6,2,2,4] => [1,4,5,2,6,3] => 10000 => [1,5]
[1,4,6,2,4,2] => [1,4,6,2,5,3] => 10000 => [1,5]
[1,4,6,4,2,2] => [1,5,6,2,4,3] => 10000 => [1,5]
[1,6,2,2,4,4] => [1,3,4,5,6,2] => 10000 => [1,5]
[1,6,2,4,2,4] => [1,3,5,4,6,2] => 10000 => [1,5]
[1,6,2,4,4,2] => [1,3,6,4,5,2] => 10000 => [1,5]
[1,6,4,2,2,4] => [1,4,5,3,6,2] => 10000 => [1,5]
[1,6,4,2,4,2] => [1,4,6,3,5,2] => 10000 => [1,5]
[1,6,4,4,2,2] => [1,5,6,3,4,2] => 10000 => [1,5]
[2,1,2,4,4,6] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,2,4,6,4] => [2,1,3,4,6,5] => 01110 => [2,1,1,2]
[2,1,2,6,4,4] => [2,1,3,5,6,4] => 01100 => [2,1,3]
[2,1,4,2,4,6] => [2,1,4,3,5,6] => 01011 => [2,2,1,1]
[2,1,4,2,6,4] => [2,1,4,3,6,5] => 01010 => [2,2,2]
[2,1,4,4,2,6] => [2,1,5,3,4,6] => 01001 => [2,3,1]
[2,1,4,4,6,2] => [2,1,6,3,4,5] => 01000 => [2,4]
[2,1,4,6,2,4] => [2,1,5,3,6,4] => 01000 => [2,4]
[2,1,4,6,4,2] => [2,1,6,3,5,4] => 01000 => [2,4]
[2,1,6,2,4,4] => [2,1,4,5,6,3] => 01000 => [2,4]
[2,1,6,4,2,4] => [2,1,5,4,6,3] => 01000 => [2,4]
[2,1,6,4,4,2] => [2,1,6,4,5,3] => 01000 => [2,4]
[2,2,1,4,4,6] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,2,1,4,6,4] => [3,1,2,4,6,5] => 00110 => [3,1,2]
[2,2,1,6,4,4] => [3,1,2,5,6,4] => 00100 => [3,3]
[2,2,4,1,4,6] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,2,4,1,6,4] => [4,1,2,3,6,5] => 00010 => [4,2]
[2,2,4,4,1,6] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,2,4,4,6,1] => [6,1,2,3,4,5] => 00000 => [6]
[2,2,4,6,1,4] => [5,1,2,3,6,4] => 00000 => [6]
[2,2,4,6,4,1] => [6,1,2,3,5,4] => 00000 => [6]
[2,2,6,1,4,4] => [4,1,2,5,6,3] => 00000 => [6]
[2,2,6,4,1,4] => [5,1,2,4,6,3] => 00000 => [6]
[2,2,6,4,4,1] => [6,1,2,4,5,3] => 00000 => [6]
[2,4,1,2,4,6] => [3,1,4,2,5,6] => 00011 => [4,1,1]
[2,4,1,2,6,4] => [3,1,4,2,6,5] => 00010 => [4,2]
[2,4,1,4,2,6] => [3,1,5,2,4,6] => 00001 => [5,1]
[2,4,1,4,6,2] => [3,1,6,2,4,5] => 00000 => [6]
[2,4,1,6,2,4] => [3,1,5,2,6,4] => 00000 => [6]
[2,4,1,6,4,2] => [3,1,6,2,5,4] => 00000 => [6]
[2,4,2,1,4,6] => [4,1,3,2,5,6] => 00011 => [4,1,1]
[2,4,2,1,6,4] => [4,1,3,2,6,5] => 00010 => [4,2]
[2,4,2,4,1,6] => [5,1,3,2,4,6] => 00001 => [5,1]
[2,4,2,4,6,1] => [6,1,3,2,4,5] => 00000 => [6]
[2,4,2,6,1,4] => [5,1,3,2,6,4] => 00000 => [6]
[2,4,2,6,4,1] => [6,1,3,2,5,4] => 00000 => [6]
[2,4,4,1,2,6] => [4,1,5,2,3,6] => 00001 => [5,1]
[2,4,4,1,6,2] => [4,1,6,2,3,5] => 00000 => [6]
[2,4,4,2,1,6] => [5,1,4,2,3,6] => 00001 => [5,1]
[2,4,4,2,6,1] => [6,1,4,2,3,5] => 00000 => [6]
[2,4,4,6,1,2] => [5,1,6,2,3,4] => 00000 => [6]
[2,4,4,6,2,1] => [6,1,5,2,3,4] => 00000 => [6]
[2,4,6,1,2,4] => [4,1,5,2,6,3] => 00000 => [6]
[2,4,6,1,4,2] => [4,1,6,2,5,3] => 00000 => [6]
[2,4,6,2,1,4] => [5,1,4,2,6,3] => 00000 => [6]
[2,4,6,2,4,1] => [6,1,4,2,5,3] => 00000 => [6]
[2,4,6,4,1,2] => [5,1,6,2,4,3] => 00000 => [6]
[2,4,6,4,2,1] => [6,1,5,2,4,3] => 00000 => [6]
[2,6,1,2,4,4] => [3,1,4,5,6,2] => 00000 => [6]
[2,6,1,4,2,4] => [3,1,5,4,6,2] => 00000 => [6]
[2,6,1,4,4,2] => [3,1,6,4,5,2] => 00000 => [6]
[2,6,2,1,4,4] => [4,1,3,5,6,2] => 00000 => [6]
[2,6,2,4,1,4] => [5,1,3,4,6,2] => 00000 => [6]
[2,6,2,4,4,1] => [6,1,3,4,5,2] => 00000 => [6]
[2,6,4,1,2,4] => [4,1,5,3,6,2] => 00000 => [6]
[2,6,4,1,4,2] => [4,1,6,3,5,2] => 00000 => [6]
[2,6,4,2,1,4] => [5,1,4,3,6,2] => 00000 => [6]
[2,6,4,2,4,1] => [6,1,4,3,5,2] => 00000 => [6]
[2,6,4,4,1,2] => [5,1,6,3,4,2] => 00000 => [6]
[2,6,4,4,2,1] => [6,1,5,3,4,2] => 00000 => [6]
[4,1,2,2,4,6] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,2,2,6,4] => [2,3,4,1,6,5] => 00010 => [4,2]
[4,1,2,4,2,6] => [2,3,5,1,4,6] => 00001 => [5,1]
[4,1,2,4,6,2] => [2,3,6,1,4,5] => 00000 => [6]
[4,1,2,6,2,4] => [2,3,5,1,6,4] => 00000 => [6]
[4,1,2,6,4,2] => [2,3,6,1,5,4] => 00000 => [6]
[4,1,4,2,2,6] => [2,4,5,1,3,6] => 00001 => [5,1]
[4,1,4,2,6,2] => [2,4,6,1,3,5] => 00000 => [6]
[4,1,4,6,2,2] => [2,5,6,1,3,4] => 00000 => [6]
[4,1,6,2,2,4] => [2,4,5,1,6,3] => 00000 => [6]
[4,1,6,2,4,2] => [2,4,6,1,5,3] => 00000 => [6]
[4,1,6,4,2,2] => [2,5,6,1,4,3] => 00000 => [6]
[4,2,1,2,4,6] => [3,2,4,1,5,6] => 00011 => [4,1,1]
[4,2,1,2,6,4] => [3,2,4,1,6,5] => 00010 => [4,2]
[4,2,1,4,2,6] => [3,2,5,1,4,6] => 00001 => [5,1]
[4,2,1,4,6,2] => [3,2,6,1,4,5] => 00000 => [6]
[4,2,1,6,2,4] => [3,2,5,1,6,4] => 00000 => [6]
[4,2,1,6,4,2] => [3,2,6,1,5,4] => 00000 => [6]
[4,2,2,1,4,6] => [4,2,3,1,5,6] => 00011 => [4,1,1]
[4,2,2,1,6,4] => [4,2,3,1,6,5] => 00010 => [4,2]
[4,2,2,4,1,6] => [5,2,3,1,4,6] => 00001 => [5,1]
[4,2,2,4,6,1] => [6,2,3,1,4,5] => 00000 => [6]
[4,2,2,6,1,4] => [5,2,3,1,6,4] => 00000 => [6]
[4,2,2,6,4,1] => [6,2,3,1,5,4] => 00000 => [6]
[4,2,4,1,2,6] => [4,2,5,1,3,6] => 00001 => [5,1]
[4,2,4,1,6,2] => [4,2,6,1,3,5] => 00000 => [6]
[4,2,4,2,1,6] => [5,2,4,1,3,6] => 00001 => [5,1]
[4,2,4,2,6,1] => [6,2,4,1,3,5] => 00000 => [6]
[4,2,4,6,1,2] => [5,2,6,1,3,4] => 00000 => [6]
[4,2,4,6,2,1] => [6,2,5,1,3,4] => 00000 => [6]
[4,2,6,1,2,4] => [4,2,5,1,6,3] => 00000 => [6]
[4,2,6,1,4,2] => [4,2,6,1,5,3] => 00000 => [6]
[4,2,6,2,1,4] => [5,2,4,1,6,3] => 00000 => [6]
[4,2,6,2,4,1] => [6,2,4,1,5,3] => 00000 => [6]
[4,2,6,4,1,2] => [5,2,6,1,4,3] => 00000 => [6]
[4,2,6,4,2,1] => [6,2,5,1,4,3] => 00000 => [6]
[4,4,1,2,2,6] => [3,4,5,1,2,6] => 00001 => [5,1]
[4,4,1,2,6,2] => [3,4,6,1,2,5] => 00000 => [6]
[4,4,1,6,2,2] => [3,5,6,1,2,4] => 00000 => [6]
[4,4,2,1,2,6] => [4,3,5,1,2,6] => 00001 => [5,1]
[4,4,2,1,6,2] => [4,3,6,1,2,5] => 00000 => [6]
[4,4,2,2,1,6] => [5,3,4,1,2,6] => 00001 => [5,1]
[4,4,2,2,6,1] => [6,3,4,1,2,5] => 00000 => [6]
[4,4,2,6,1,2] => [5,3,6,1,2,4] => 00000 => [6]
[4,4,2,6,2,1] => [6,3,5,1,2,4] => 00000 => [6]
[4,4,6,1,2,2] => [4,5,6,1,2,3] => 00000 => [6]
[4,4,6,2,1,2] => [5,4,6,1,2,3] => 00000 => [6]
[4,4,6,2,2,1] => [6,4,5,1,2,3] => 00000 => [6]
[4,6,1,2,2,4] => [3,4,5,1,6,2] => 00000 => [6]
[4,6,1,2,4,2] => [3,4,6,1,5,2] => 00000 => [6]
[4,6,1,4,2,2] => [3,5,6,1,4,2] => 00000 => [6]
[4,6,2,1,2,4] => [4,3,5,1,6,2] => 00000 => [6]
[4,6,2,1,4,2] => [4,3,6,1,5,2] => 00000 => [6]
[4,6,2,2,1,4] => [5,3,4,1,6,2] => 00000 => [6]
[4,6,2,2,4,1] => [6,3,4,1,5,2] => 00000 => [6]
[4,6,2,4,1,2] => [5,3,6,1,4,2] => 00000 => [6]
[4,6,2,4,2,1] => [6,3,5,1,4,2] => 00000 => [6]
[4,6,4,1,2,2] => [4,5,6,1,3,2] => 00000 => [6]
[4,6,4,2,1,2] => [5,4,6,1,3,2] => 00000 => [6]
[4,6,4,2,2,1] => [6,4,5,1,3,2] => 00000 => [6]
[6,1,2,2,4,4] => [2,3,4,5,6,1] => 00000 => [6]
[6,1,2,4,2,4] => [2,3,5,4,6,1] => 00000 => [6]
[6,1,2,4,4,2] => [2,3,6,4,5,1] => 00000 => [6]
[6,1,4,2,2,4] => [2,4,5,3,6,1] => 00000 => [6]
[6,1,4,2,4,2] => [2,4,6,3,5,1] => 00000 => [6]
[6,1,4,4,2,2] => [2,5,6,3,4,1] => 00000 => [6]
[6,2,1,2,4,4] => [3,2,4,5,6,1] => 00000 => [6]
[6,2,1,4,2,4] => [3,2,5,4,6,1] => 00000 => [6]
[6,2,1,4,4,2] => [3,2,6,4,5,1] => 00000 => [6]
[6,2,2,1,4,4] => [4,2,3,5,6,1] => 00000 => [6]
[6,2,2,4,1,4] => [5,2,3,4,6,1] => 00000 => [6]
[6,2,2,4,4,1] => [6,2,3,4,5,1] => 00000 => [6]
[6,2,4,1,2,4] => [4,2,5,3,6,1] => 00000 => [6]
[6,2,4,1,4,2] => [4,2,6,3,5,1] => 00000 => [6]
[6,2,4,2,1,4] => [5,2,4,3,6,1] => 00000 => [6]
[6,2,4,2,4,1] => [6,2,4,3,5,1] => 00000 => [6]
[6,2,4,4,1,2] => [5,2,6,3,4,1] => 00000 => [6]
[6,2,4,4,2,1] => [6,2,5,3,4,1] => 00000 => [6]
[6,4,1,2,2,4] => [3,4,5,2,6,1] => 00000 => [6]
[6,4,1,2,4,2] => [3,4,6,2,5,1] => 00000 => [6]
[6,4,1,4,2,2] => [3,5,6,2,4,1] => 00000 => [6]
[6,4,2,1,2,4] => [4,3,5,2,6,1] => 00000 => [6]
[6,4,2,1,4,2] => [4,3,6,2,5,1] => 00000 => [6]
[6,4,2,2,1,4] => [5,3,4,2,6,1] => 00000 => [6]
[6,4,2,2,4,1] => [6,3,4,2,5,1] => 00000 => [6]
[6,4,2,4,1,2] => [5,3,6,2,4,1] => 00000 => [6]
[6,4,2,4,2,1] => [6,3,5,2,4,1] => 00000 => [6]
[6,4,4,1,2,2] => [4,5,6,2,3,1] => 00000 => [6]
[6,4,4,2,1,2] => [5,4,6,2,3,1] => 00000 => [6]
[6,4,4,2,2,1] => [6,4,5,2,3,1] => 00000 => [6]
[1,2,2,4,5,5] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,2,5,4,5] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,2,2,5,5,4] => [1,2,3,6,4,5] => 11100 => [1,1,1,3]
[1,2,4,2,5,5] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,2,4,5,2,5] => [1,2,5,3,4,6] => 11001 => [1,1,3,1]
[1,2,4,5,5,2] => [1,2,6,3,4,5] => 11000 => [1,1,4]
[1,2,5,2,4,5] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,2,5,2,5,4] => [1,2,4,6,3,5] => 11000 => [1,1,4]
[1,2,5,4,2,5] => [1,2,5,4,3,6] => 11001 => [1,1,3,1]
[1,2,5,4,5,2] => [1,2,6,4,3,5] => 11000 => [1,1,4]
[1,2,5,5,2,4] => [1,2,5,6,3,4] => 11000 => [1,1,4]
[1,2,5,5,4,2] => [1,2,6,5,3,4] => 11000 => [1,1,4]
[1,4,2,2,5,5] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,2,5,2,5] => [1,3,5,2,4,6] => 10001 => [1,4,1]
[1,4,2,5,5,2] => [1,3,6,2,4,5] => 10000 => [1,5]
[1,4,5,2,2,5] => [1,4,5,2,3,6] => 10001 => [1,4,1]
[1,4,5,2,5,2] => [1,4,6,2,3,5] => 10000 => [1,5]
[1,4,5,5,2,2] => [1,5,6,2,3,4] => 10000 => [1,5]
[1,5,2,2,4,5] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,2,2,5,4] => [1,3,4,6,2,5] => 10000 => [1,5]
[1,5,2,4,2,5] => [1,3,5,4,2,6] => 10001 => [1,4,1]
[1,5,2,4,5,2] => [1,3,6,4,2,5] => 10000 => [1,5]
[1,5,2,5,2,4] => [1,3,5,6,2,4] => 10000 => [1,5]
[1,5,2,5,4,2] => [1,3,6,5,2,4] => 10000 => [1,5]
[1,5,4,2,2,5] => [1,4,5,3,2,6] => 10001 => [1,4,1]
[1,5,4,2,5,2] => [1,4,6,3,2,5] => 10000 => [1,5]
[1,5,4,5,2,2] => [1,5,6,3,2,4] => 10000 => [1,5]
[1,5,5,2,2,4] => [1,4,5,6,2,3] => 10000 => [1,5]
[1,5,5,2,4,2] => [1,4,6,5,2,3] => 10000 => [1,5]
[1,5,5,4,2,2] => [1,5,6,4,2,3] => 10000 => [1,5]
[2,1,2,4,5,5] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,2,5,4,5] => [2,1,3,5,4,6] => 01101 => [2,1,2,1]
[2,1,2,5,5,4] => [2,1,3,6,4,5] => 01100 => [2,1,3]
[2,1,4,2,5,5] => [2,1,4,3,5,6] => 01011 => [2,2,1,1]
[2,1,4,5,2,5] => [2,1,5,3,4,6] => 01001 => [2,3,1]
[2,1,4,5,5,2] => [2,1,6,3,4,5] => 01000 => [2,4]
[2,1,5,2,4,5] => [2,1,4,5,3,6] => 01001 => [2,3,1]
[2,1,5,2,5,4] => [2,1,4,6,3,5] => 01000 => [2,4]
[2,1,5,4,2,5] => [2,1,5,4,3,6] => 01001 => [2,3,1]
[2,1,5,4,5,2] => [2,1,6,4,3,5] => 01000 => [2,4]
[2,1,5,5,2,4] => [2,1,5,6,3,4] => 01000 => [2,4]
[2,1,5,5,4,2] => [2,1,6,5,3,4] => 01000 => [2,4]
[2,2,1,4,5,5] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,2,1,5,4,5] => [3,1,2,5,4,6] => 00101 => [3,2,1]
[2,2,1,5,5,4] => [3,1,2,6,4,5] => 00100 => [3,3]
[2,2,4,1,5,5] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,2,4,5,1,5] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,2,4,5,5,1] => [6,1,2,3,4,5] => 00000 => [6]
[2,2,5,1,4,5] => [4,1,2,5,3,6] => 00001 => [5,1]
[2,2,5,1,5,4] => [4,1,2,6,3,5] => 00000 => [6]
[2,2,5,4,1,5] => [5,1,2,4,3,6] => 00001 => [5,1]
[2,2,5,4,5,1] => [6,1,2,4,3,5] => 00000 => [6]
[2,2,5,5,1,4] => [5,1,2,6,3,4] => 00000 => [6]
[2,2,5,5,4,1] => [6,1,2,5,3,4] => 00000 => [6]
[2,4,1,2,5,5] => [3,1,4,2,5,6] => 00011 => [4,1,1]
[2,4,1,5,2,5] => [3,1,5,2,4,6] => 00001 => [5,1]
[2,4,1,5,5,2] => [3,1,6,2,4,5] => 00000 => [6]
[2,4,2,1,5,5] => [4,1,3,2,5,6] => 00011 => [4,1,1]
[2,4,2,5,1,5] => [5,1,3,2,4,6] => 00001 => [5,1]
[2,4,2,5,5,1] => [6,1,3,2,4,5] => 00000 => [6]
[2,4,5,1,2,5] => [4,1,5,2,3,6] => 00001 => [5,1]
[2,4,5,1,5,2] => [4,1,6,2,3,5] => 00000 => [6]
[2,4,5,2,1,5] => [5,1,4,2,3,6] => 00001 => [5,1]
[2,4,5,2,5,1] => [6,1,4,2,3,5] => 00000 => [6]
[2,4,5,5,1,2] => [5,1,6,2,3,4] => 00000 => [6]
[2,4,5,5,2,1] => [6,1,5,2,3,4] => 00000 => [6]
[2,5,1,2,4,5] => [3,1,4,5,2,6] => 00001 => [5,1]
[2,5,1,2,5,4] => [3,1,4,6,2,5] => 00000 => [6]
[2,5,1,4,2,5] => [3,1,5,4,2,6] => 00001 => [5,1]
[2,5,1,4,5,2] => [3,1,6,4,2,5] => 00000 => [6]
[2,5,1,5,2,4] => [3,1,5,6,2,4] => 00000 => [6]
[2,5,1,5,4,2] => [3,1,6,5,2,4] => 00000 => [6]
[2,5,2,1,4,5] => [4,1,3,5,2,6] => 00001 => [5,1]
[2,5,2,1,5,4] => [4,1,3,6,2,5] => 00000 => [6]
[2,5,2,4,1,5] => [5,1,3,4,2,6] => 00001 => [5,1]
[2,5,2,4,5,1] => [6,1,3,4,2,5] => 00000 => [6]
[2,5,2,5,1,4] => [5,1,3,6,2,4] => 00000 => [6]
[2,5,2,5,4,1] => [6,1,3,5,2,4] => 00000 => [6]
[2,5,4,1,2,5] => [4,1,5,3,2,6] => 00001 => [5,1]
[2,5,4,1,5,2] => [4,1,6,3,2,5] => 00000 => [6]
[2,5,4,2,1,5] => [5,1,4,3,2,6] => 00001 => [5,1]
[2,5,4,2,5,1] => [6,1,4,3,2,5] => 00000 => [6]
[2,5,4,5,1,2] => [5,1,6,3,2,4] => 00000 => [6]
[2,5,4,5,2,1] => [6,1,5,3,2,4] => 00000 => [6]
[2,5,5,1,2,4] => [4,1,5,6,2,3] => 00000 => [6]
[2,5,5,1,4,2] => [4,1,6,5,2,3] => 00000 => [6]
[2,5,5,2,1,4] => [5,1,4,6,2,3] => 00000 => [6]
[2,5,5,2,4,1] => [6,1,4,5,2,3] => 00000 => [6]
[2,5,5,4,1,2] => [5,1,6,4,2,3] => 00000 => [6]
[2,5,5,4,2,1] => [6,1,5,4,2,3] => 00000 => [6]
[4,1,2,2,5,5] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,2,5,2,5] => [2,3,5,1,4,6] => 00001 => [5,1]
[4,1,2,5,5,2] => [2,3,6,1,4,5] => 00000 => [6]
[4,1,5,2,2,5] => [2,4,5,1,3,6] => 00001 => [5,1]
[4,1,5,2,5,2] => [2,4,6,1,3,5] => 00000 => [6]
[4,1,5,5,2,2] => [2,5,6,1,3,4] => 00000 => [6]
[4,2,1,2,5,5] => [3,2,4,1,5,6] => 00011 => [4,1,1]
[4,2,1,5,2,5] => [3,2,5,1,4,6] => 00001 => [5,1]
[4,2,1,5,5,2] => [3,2,6,1,4,5] => 00000 => [6]
[4,2,2,1,5,5] => [4,2,3,1,5,6] => 00011 => [4,1,1]
[4,2,2,5,1,5] => [5,2,3,1,4,6] => 00001 => [5,1]
[4,2,2,5,5,1] => [6,2,3,1,4,5] => 00000 => [6]
[4,2,5,1,2,5] => [4,2,5,1,3,6] => 00001 => [5,1]
[4,2,5,1,5,2] => [4,2,6,1,3,5] => 00000 => [6]
[4,2,5,2,1,5] => [5,2,4,1,3,6] => 00001 => [5,1]
[4,2,5,2,5,1] => [6,2,4,1,3,5] => 00000 => [6]
[4,2,5,5,1,2] => [5,2,6,1,3,4] => 00000 => [6]
[4,2,5,5,2,1] => [6,2,5,1,3,4] => 00000 => [6]
[4,5,1,2,2,5] => [3,4,5,1,2,6] => 00001 => [5,1]
[4,5,1,2,5,2] => [3,4,6,1,2,5] => 00000 => [6]
[4,5,1,5,2,2] => [3,5,6,1,2,4] => 00000 => [6]
[4,5,2,1,2,5] => [4,3,5,1,2,6] => 00001 => [5,1]
[4,5,2,1,5,2] => [4,3,6,1,2,5] => 00000 => [6]
[4,5,2,2,1,5] => [5,3,4,1,2,6] => 00001 => [5,1]
[4,5,2,2,5,1] => [6,3,4,1,2,5] => 00000 => [6]
[4,5,2,5,1,2] => [5,3,6,1,2,4] => 00000 => [6]
[4,5,2,5,2,1] => [6,3,5,1,2,4] => 00000 => [6]
[4,5,5,1,2,2] => [4,5,6,1,2,3] => 00000 => [6]
[4,5,5,2,1,2] => [5,4,6,1,2,3] => 00000 => [6]
[4,5,5,2,2,1] => [6,4,5,1,2,3] => 00000 => [6]
[5,1,2,2,4,5] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,2,2,5,4] => [2,3,4,6,1,5] => 00000 => [6]
[5,1,2,4,2,5] => [2,3,5,4,1,6] => 00001 => [5,1]
[5,1,2,4,5,2] => [2,3,6,4,1,5] => 00000 => [6]
[5,1,2,5,2,4] => [2,3,5,6,1,4] => 00000 => [6]
[5,1,2,5,4,2] => [2,3,6,5,1,4] => 00000 => [6]
[5,1,4,2,2,5] => [2,4,5,3,1,6] => 00001 => [5,1]
[5,1,4,2,5,2] => [2,4,6,3,1,5] => 00000 => [6]
[5,1,4,5,2,2] => [2,5,6,3,1,4] => 00000 => [6]
[5,1,5,2,2,4] => [2,4,5,6,1,3] => 00000 => [6]
[5,1,5,2,4,2] => [2,4,6,5,1,3] => 00000 => [6]
[5,1,5,4,2,2] => [2,5,6,4,1,3] => 00000 => [6]
[5,2,1,2,4,5] => [3,2,4,5,1,6] => 00001 => [5,1]
[5,2,1,2,5,4] => [3,2,4,6,1,5] => 00000 => [6]
[5,2,1,4,2,5] => [3,2,5,4,1,6] => 00001 => [5,1]
[5,2,1,4,5,2] => [3,2,6,4,1,5] => 00000 => [6]
[5,2,1,5,2,4] => [3,2,5,6,1,4] => 00000 => [6]
[5,2,1,5,4,2] => [3,2,6,5,1,4] => 00000 => [6]
[5,2,2,1,4,5] => [4,2,3,5,1,6] => 00001 => [5,1]
[5,2,2,1,5,4] => [4,2,3,6,1,5] => 00000 => [6]
[5,2,2,4,1,5] => [5,2,3,4,1,6] => 00001 => [5,1]
[5,2,2,4,5,1] => [6,2,3,4,1,5] => 00000 => [6]
[5,2,2,5,1,4] => [5,2,3,6,1,4] => 00000 => [6]
[5,2,2,5,4,1] => [6,2,3,5,1,4] => 00000 => [6]
[5,2,4,1,2,5] => [4,2,5,3,1,6] => 00001 => [5,1]
[5,2,4,1,5,2] => [4,2,6,3,1,5] => 00000 => [6]
[5,2,4,2,1,5] => [5,2,4,3,1,6] => 00001 => [5,1]
[5,2,4,2,5,1] => [6,2,4,3,1,5] => 00000 => [6]
[5,2,4,5,1,2] => [5,2,6,3,1,4] => 00000 => [6]
[5,2,4,5,2,1] => [6,2,5,3,1,4] => 00000 => [6]
[5,2,5,1,2,4] => [4,2,5,6,1,3] => 00000 => [6]
[5,2,5,1,4,2] => [4,2,6,5,1,3] => 00000 => [6]
[5,2,5,2,1,4] => [5,2,4,6,1,3] => 00000 => [6]
[5,2,5,2,4,1] => [6,2,4,5,1,3] => 00000 => [6]
[5,2,5,4,1,2] => [5,2,6,4,1,3] => 00000 => [6]
[5,2,5,4,2,1] => [6,2,5,4,1,3] => 00000 => [6]
[5,4,1,2,2,5] => [3,4,5,2,1,6] => 00001 => [5,1]
[5,4,1,2,5,2] => [3,4,6,2,1,5] => 00000 => [6]
[5,4,1,5,2,2] => [3,5,6,2,1,4] => 00000 => [6]
[5,4,2,1,2,5] => [4,3,5,2,1,6] => 00001 => [5,1]
[5,4,2,1,5,2] => [4,3,6,2,1,5] => 00000 => [6]
[5,4,2,2,1,5] => [5,3,4,2,1,6] => 00001 => [5,1]
[5,4,2,2,5,1] => [6,3,4,2,1,5] => 00000 => [6]
[5,4,2,5,1,2] => [5,3,6,2,1,4] => 00000 => [6]
[5,4,2,5,2,1] => [6,3,5,2,1,4] => 00000 => [6]
[5,4,5,1,2,2] => [4,5,6,2,1,3] => 00000 => [6]
[5,4,5,2,1,2] => [5,4,6,2,1,3] => 00000 => [6]
[5,4,5,2,2,1] => [6,4,5,2,1,3] => 00000 => [6]
[5,5,1,2,2,4] => [3,4,5,6,1,2] => 00000 => [6]
[5,5,1,2,4,2] => [3,4,6,5,1,2] => 00000 => [6]
[5,5,1,4,2,2] => [3,5,6,4,1,2] => 00000 => [6]
[5,5,2,1,2,4] => [4,3,5,6,1,2] => 00000 => [6]
[5,5,2,1,4,2] => [4,3,6,5,1,2] => 00000 => [6]
[5,5,2,2,1,4] => [5,3,4,6,1,2] => 00000 => [6]
[5,5,2,2,4,1] => [6,3,4,5,1,2] => 00000 => [6]
[5,5,2,4,1,2] => [5,3,6,4,1,2] => 00000 => [6]
[5,5,2,4,2,1] => [6,3,5,4,1,2] => 00000 => [6]
[5,5,4,1,2,2] => [4,5,6,3,1,2] => 00000 => [6]
[5,5,4,2,1,2] => [5,4,6,3,1,2] => 00000 => [6]
[5,5,4,2,2,1] => [6,4,5,3,1,2] => 00000 => [6]
[1,2,2,4,5,6] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,2,4,6,5] => [1,2,3,4,6,5] => 11110 => [1,1,1,1,2]
[1,2,2,5,4,6] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,2,2,5,6,4] => [1,2,3,6,4,5] => 11100 => [1,1,1,3]
[1,2,2,6,4,5] => [1,2,3,5,6,4] => 11100 => [1,1,1,3]
[1,2,2,6,5,4] => [1,2,3,6,5,4] => 11100 => [1,1,1,3]
[1,2,4,2,5,6] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,2,4,2,6,5] => [1,2,4,3,6,5] => 11010 => [1,1,2,2]
[1,2,4,5,2,6] => [1,2,5,3,4,6] => 11001 => [1,1,3,1]
[1,2,4,5,6,2] => [1,2,6,3,4,5] => 11000 => [1,1,4]
[1,2,4,6,2,5] => [1,2,5,3,6,4] => 11000 => [1,1,4]
[1,2,4,6,5,2] => [1,2,6,3,5,4] => 11000 => [1,1,4]
[1,2,5,2,4,6] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,2,5,2,6,4] => [1,2,4,6,3,5] => 11000 => [1,1,4]
[1,2,5,4,2,6] => [1,2,5,4,3,6] => 11001 => [1,1,3,1]
[1,2,5,4,6,2] => [1,2,6,4,3,5] => 11000 => [1,1,4]
[1,2,5,6,2,4] => [1,2,5,6,3,4] => 11000 => [1,1,4]
[1,2,5,6,4,2] => [1,2,6,5,3,4] => 11000 => [1,1,4]
[1,2,6,2,4,5] => [1,2,4,5,6,3] => 11000 => [1,1,4]
[1,2,6,2,5,4] => [1,2,4,6,5,3] => 11000 => [1,1,4]
[1,2,6,4,2,5] => [1,2,5,4,6,3] => 11000 => [1,1,4]
[1,2,6,4,5,2] => [1,2,6,4,5,3] => 11000 => [1,1,4]
[1,2,6,5,2,4] => [1,2,5,6,4,3] => 11000 => [1,1,4]
[1,2,6,5,4,2] => [1,2,6,5,4,3] => 11000 => [1,1,4]
[1,4,2,2,5,6] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,2,2,6,5] => [1,3,4,2,6,5] => 10010 => [1,3,2]
[1,4,2,5,2,6] => [1,3,5,2,4,6] => 10001 => [1,4,1]
[1,4,2,5,6,2] => [1,3,6,2,4,5] => 10000 => [1,5]
[1,4,2,6,2,5] => [1,3,5,2,6,4] => 10000 => [1,5]
[1,4,2,6,5,2] => [1,3,6,2,5,4] => 10000 => [1,5]
[1,4,5,2,2,6] => [1,4,5,2,3,6] => 10001 => [1,4,1]
[1,4,5,2,6,2] => [1,4,6,2,3,5] => 10000 => [1,5]
[1,4,5,6,2,2] => [1,5,6,2,3,4] => 10000 => [1,5]
[1,4,6,2,2,5] => [1,4,5,2,6,3] => 10000 => [1,5]
[1,4,6,2,5,2] => [1,4,6,2,5,3] => 10000 => [1,5]
[1,4,6,5,2,2] => [1,5,6,2,4,3] => 10000 => [1,5]
[1,5,2,2,4,6] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,2,2,6,4] => [1,3,4,6,2,5] => 10000 => [1,5]
[1,5,2,4,2,6] => [1,3,5,4,2,6] => 10001 => [1,4,1]
[1,5,2,4,6,2] => [1,3,6,4,2,5] => 10000 => [1,5]
[1,5,2,6,2,4] => [1,3,5,6,2,4] => 10000 => [1,5]
[1,5,2,6,4,2] => [1,3,6,5,2,4] => 10000 => [1,5]
[1,5,4,2,2,6] => [1,4,5,3,2,6] => 10001 => [1,4,1]
[1,5,4,2,6,2] => [1,4,6,3,2,5] => 10000 => [1,5]
[1,5,4,6,2,2] => [1,5,6,3,2,4] => 10000 => [1,5]
[1,5,6,2,2,4] => [1,4,5,6,2,3] => 10000 => [1,5]
[1,5,6,2,4,2] => [1,4,6,5,2,3] => 10000 => [1,5]
[1,5,6,4,2,2] => [1,5,6,4,2,3] => 10000 => [1,5]
[1,6,2,2,4,5] => [1,3,4,5,6,2] => 10000 => [1,5]
[1,6,2,2,5,4] => [1,3,4,6,5,2] => 10000 => [1,5]
[1,6,2,4,2,5] => [1,3,5,4,6,2] => 10000 => [1,5]
[1,6,2,4,5,2] => [1,3,6,4,5,2] => 10000 => [1,5]
[1,6,2,5,2,4] => [1,3,5,6,4,2] => 10000 => [1,5]
[1,6,2,5,4,2] => [1,3,6,5,4,2] => 10000 => [1,5]
[1,6,4,2,2,5] => [1,4,5,3,6,2] => 10000 => [1,5]
[1,6,4,2,5,2] => [1,4,6,3,5,2] => 10000 => [1,5]
[1,6,4,5,2,2] => [1,5,6,3,4,2] => 10000 => [1,5]
[1,6,5,2,2,4] => [1,4,5,6,3,2] => 10000 => [1,5]
[1,6,5,2,4,2] => [1,4,6,5,3,2] => 10000 => [1,5]
[1,6,5,4,2,2] => [1,5,6,4,3,2] => 10000 => [1,5]
[2,1,2,4,5,6] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,2,4,6,5] => [2,1,3,4,6,5] => 01110 => [2,1,1,2]
[2,1,2,5,4,6] => [2,1,3,5,4,6] => 01101 => [2,1,2,1]
[2,1,2,5,6,4] => [2,1,3,6,4,5] => 01100 => [2,1,3]
[2,1,2,6,4,5] => [2,1,3,5,6,4] => 01100 => [2,1,3]
[2,1,2,6,5,4] => [2,1,3,6,5,4] => 01100 => [2,1,3]
[2,1,4,2,5,6] => [2,1,4,3,5,6] => 01011 => [2,2,1,1]
[2,1,4,2,6,5] => [2,1,4,3,6,5] => 01010 => [2,2,2]
[2,1,4,5,2,6] => [2,1,5,3,4,6] => 01001 => [2,3,1]
[2,1,4,5,6,2] => [2,1,6,3,4,5] => 01000 => [2,4]
[2,1,4,6,2,5] => [2,1,5,3,6,4] => 01000 => [2,4]
[2,1,4,6,5,2] => [2,1,6,3,5,4] => 01000 => [2,4]
[2,1,5,2,4,6] => [2,1,4,5,3,6] => 01001 => [2,3,1]
[2,1,5,2,6,4] => [2,1,4,6,3,5] => 01000 => [2,4]
[2,1,5,4,2,6] => [2,1,5,4,3,6] => 01001 => [2,3,1]
[2,1,5,4,6,2] => [2,1,6,4,3,5] => 01000 => [2,4]
[2,1,5,6,2,4] => [2,1,5,6,3,4] => 01000 => [2,4]
[2,1,5,6,4,2] => [2,1,6,5,3,4] => 01000 => [2,4]
[2,1,6,2,4,5] => [2,1,4,5,6,3] => 01000 => [2,4]
[2,1,6,2,5,4] => [2,1,4,6,5,3] => 01000 => [2,4]
[2,1,6,4,2,5] => [2,1,5,4,6,3] => 01000 => [2,4]
[2,1,6,4,5,2] => [2,1,6,4,5,3] => 01000 => [2,4]
[2,1,6,5,2,4] => [2,1,5,6,4,3] => 01000 => [2,4]
[2,1,6,5,4,2] => [2,1,6,5,4,3] => 01000 => [2,4]
[2,2,1,4,5,6] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,2,1,4,6,5] => [3,1,2,4,6,5] => 00110 => [3,1,2]
[2,2,1,5,4,6] => [3,1,2,5,4,6] => 00101 => [3,2,1]
[2,2,1,5,6,4] => [3,1,2,6,4,5] => 00100 => [3,3]
[2,2,1,6,4,5] => [3,1,2,5,6,4] => 00100 => [3,3]
[2,2,1,6,5,4] => [3,1,2,6,5,4] => 00100 => [3,3]
[2,2,4,1,5,6] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,2,4,1,6,5] => [4,1,2,3,6,5] => 00010 => [4,2]
[2,2,4,5,1,6] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,2,4,5,6,1] => [6,1,2,3,4,5] => 00000 => [6]
[2,2,4,6,1,5] => [5,1,2,3,6,4] => 00000 => [6]
[2,2,4,6,5,1] => [6,1,2,3,5,4] => 00000 => [6]
[2,2,5,1,4,6] => [4,1,2,5,3,6] => 00001 => [5,1]
[2,2,5,1,6,4] => [4,1,2,6,3,5] => 00000 => [6]
[2,2,5,4,1,6] => [5,1,2,4,3,6] => 00001 => [5,1]
[2,2,5,4,6,1] => [6,1,2,4,3,5] => 00000 => [6]
[2,2,5,6,1,4] => [5,1,2,6,3,4] => 00000 => [6]
[2,2,5,6,4,1] => [6,1,2,5,3,4] => 00000 => [6]
[2,2,6,1,4,5] => [4,1,2,5,6,3] => 00000 => [6]
[2,2,6,1,5,4] => [4,1,2,6,5,3] => 00000 => [6]
[2,2,6,4,1,5] => [5,1,2,4,6,3] => 00000 => [6]
[2,2,6,4,5,1] => [6,1,2,4,5,3] => 00000 => [6]
[2,2,6,5,1,4] => [5,1,2,6,4,3] => 00000 => [6]
[2,2,6,5,4,1] => [6,1,2,5,4,3] => 00000 => [6]
[2,4,1,2,5,6] => [3,1,4,2,5,6] => 00011 => [4,1,1]
[2,4,1,2,6,5] => [3,1,4,2,6,5] => 00010 => [4,2]
[2,4,1,5,2,6] => [3,1,5,2,4,6] => 00001 => [5,1]
[2,4,1,5,6,2] => [3,1,6,2,4,5] => 00000 => [6]
[2,4,1,6,2,5] => [3,1,5,2,6,4] => 00000 => [6]
[2,4,1,6,5,2] => [3,1,6,2,5,4] => 00000 => [6]
[2,4,2,1,5,6] => [4,1,3,2,5,6] => 00011 => [4,1,1]
[2,4,2,1,6,5] => [4,1,3,2,6,5] => 00010 => [4,2]
[2,4,2,5,1,6] => [5,1,3,2,4,6] => 00001 => [5,1]
[2,4,2,5,6,1] => [6,1,3,2,4,5] => 00000 => [6]
[2,4,2,6,1,5] => [5,1,3,2,6,4] => 00000 => [6]
[2,4,2,6,5,1] => [6,1,3,2,5,4] => 00000 => [6]
[2,4,5,1,2,6] => [4,1,5,2,3,6] => 00001 => [5,1]
[2,4,5,1,6,2] => [4,1,6,2,3,5] => 00000 => [6]
[2,4,5,2,1,6] => [5,1,4,2,3,6] => 00001 => [5,1]
[2,4,5,2,6,1] => [6,1,4,2,3,5] => 00000 => [6]
[2,4,5,6,1,2] => [5,1,6,2,3,4] => 00000 => [6]
[2,4,5,6,2,1] => [6,1,5,2,3,4] => 00000 => [6]
[2,4,6,1,2,5] => [4,1,5,2,6,3] => 00000 => [6]
[2,4,6,1,5,2] => [4,1,6,2,5,3] => 00000 => [6]
[2,4,6,2,1,5] => [5,1,4,2,6,3] => 00000 => [6]
[2,4,6,2,5,1] => [6,1,4,2,5,3] => 00000 => [6]
[2,4,6,5,1,2] => [5,1,6,2,4,3] => 00000 => [6]
[2,4,6,5,2,1] => [6,1,5,2,4,3] => 00000 => [6]
[2,5,1,2,4,6] => [3,1,4,5,2,6] => 00001 => [5,1]
[2,5,1,2,6,4] => [3,1,4,6,2,5] => 00000 => [6]
[2,5,1,4,2,6] => [3,1,5,4,2,6] => 00001 => [5,1]
[2,5,1,4,6,2] => [3,1,6,4,2,5] => 00000 => [6]
[2,5,1,6,2,4] => [3,1,5,6,2,4] => 00000 => [6]
[2,5,1,6,4,2] => [3,1,6,5,2,4] => 00000 => [6]
[2,5,2,1,4,6] => [4,1,3,5,2,6] => 00001 => [5,1]
[2,5,2,1,6,4] => [4,1,3,6,2,5] => 00000 => [6]
[2,5,2,4,1,6] => [5,1,3,4,2,6] => 00001 => [5,1]
[2,5,2,4,6,1] => [6,1,3,4,2,5] => 00000 => [6]
[2,5,2,6,1,4] => [5,1,3,6,2,4] => 00000 => [6]
[2,5,2,6,4,1] => [6,1,3,5,2,4] => 00000 => [6]
[2,5,4,1,2,6] => [4,1,5,3,2,6] => 00001 => [5,1]
[2,5,4,1,6,2] => [4,1,6,3,2,5] => 00000 => [6]
[2,5,4,2,1,6] => [5,1,4,3,2,6] => 00001 => [5,1]
[2,5,4,2,6,1] => [6,1,4,3,2,5] => 00000 => [6]
[2,5,4,6,1,2] => [5,1,6,3,2,4] => 00000 => [6]
[2,5,4,6,2,1] => [6,1,5,3,2,4] => 00000 => [6]
[2,5,6,1,2,4] => [4,1,5,6,2,3] => 00000 => [6]
[2,5,6,1,4,2] => [4,1,6,5,2,3] => 00000 => [6]
[2,5,6,2,1,4] => [5,1,4,6,2,3] => 00000 => [6]
[2,5,6,2,4,1] => [6,1,4,5,2,3] => 00000 => [6]
[2,5,6,4,1,2] => [5,1,6,4,2,3] => 00000 => [6]
[2,5,6,4,2,1] => [6,1,5,4,2,3] => 00000 => [6]
[2,6,1,2,4,5] => [3,1,4,5,6,2] => 00000 => [6]
[2,6,1,2,5,4] => [3,1,4,6,5,2] => 00000 => [6]
[2,6,1,4,2,5] => [3,1,5,4,6,2] => 00000 => [6]
[2,6,1,4,5,2] => [3,1,6,4,5,2] => 00000 => [6]
[2,6,1,5,2,4] => [3,1,5,6,4,2] => 00000 => [6]
[2,6,1,5,4,2] => [3,1,6,5,4,2] => 00000 => [6]
[2,6,2,1,4,5] => [4,1,3,5,6,2] => 00000 => [6]
[2,6,2,1,5,4] => [4,1,3,6,5,2] => 00000 => [6]
[2,6,2,4,1,5] => [5,1,3,4,6,2] => 00000 => [6]
[2,6,2,4,5,1] => [6,1,3,4,5,2] => 00000 => [6]
[2,6,2,5,1,4] => [5,1,3,6,4,2] => 00000 => [6]
[2,6,2,5,4,1] => [6,1,3,5,4,2] => 00000 => [6]
[2,6,4,1,2,5] => [4,1,5,3,6,2] => 00000 => [6]
[2,6,4,1,5,2] => [4,1,6,3,5,2] => 00000 => [6]
[2,6,4,2,1,5] => [5,1,4,3,6,2] => 00000 => [6]
[2,6,4,2,5,1] => [6,1,4,3,5,2] => 00000 => [6]
[2,6,4,5,1,2] => [5,1,6,3,4,2] => 00000 => [6]
[2,6,4,5,2,1] => [6,1,5,3,4,2] => 00000 => [6]
[2,6,5,1,2,4] => [4,1,5,6,3,2] => 00000 => [6]
[2,6,5,1,4,2] => [4,1,6,5,3,2] => 00000 => [6]
[2,6,5,2,1,4] => [5,1,4,6,3,2] => 00000 => [6]
[2,6,5,2,4,1] => [6,1,4,5,3,2] => 00000 => [6]
[2,6,5,4,1,2] => [5,1,6,4,3,2] => 00000 => [6]
[2,6,5,4,2,1] => [6,1,5,4,3,2] => 00000 => [6]
[4,1,2,2,5,6] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,2,2,6,5] => [2,3,4,1,6,5] => 00010 => [4,2]
[4,1,2,5,2,6] => [2,3,5,1,4,6] => 00001 => [5,1]
[4,1,2,5,6,2] => [2,3,6,1,4,5] => 00000 => [6]
[4,1,2,6,2,5] => [2,3,5,1,6,4] => 00000 => [6]
[4,1,2,6,5,2] => [2,3,6,1,5,4] => 00000 => [6]
[4,1,5,2,2,6] => [2,4,5,1,3,6] => 00001 => [5,1]
[4,1,5,2,6,2] => [2,4,6,1,3,5] => 00000 => [6]
[4,1,5,6,2,2] => [2,5,6,1,3,4] => 00000 => [6]
[4,1,6,2,2,5] => [2,4,5,1,6,3] => 00000 => [6]
[4,1,6,2,5,2] => [2,4,6,1,5,3] => 00000 => [6]
[4,1,6,5,2,2] => [2,5,6,1,4,3] => 00000 => [6]
[4,2,1,2,5,6] => [3,2,4,1,5,6] => 00011 => [4,1,1]
[4,2,1,2,6,5] => [3,2,4,1,6,5] => 00010 => [4,2]
[4,2,1,5,2,6] => [3,2,5,1,4,6] => 00001 => [5,1]
[4,2,1,5,6,2] => [3,2,6,1,4,5] => 00000 => [6]
[4,2,1,6,2,5] => [3,2,5,1,6,4] => 00000 => [6]
[4,2,1,6,5,2] => [3,2,6,1,5,4] => 00000 => [6]
[4,2,2,1,5,6] => [4,2,3,1,5,6] => 00011 => [4,1,1]
[4,2,2,1,6,5] => [4,2,3,1,6,5] => 00010 => [4,2]
[4,2,2,5,1,6] => [5,2,3,1,4,6] => 00001 => [5,1]
[4,2,2,5,6,1] => [6,2,3,1,4,5] => 00000 => [6]
[4,2,2,6,1,5] => [5,2,3,1,6,4] => 00000 => [6]
[4,2,2,6,5,1] => [6,2,3,1,5,4] => 00000 => [6]
[4,2,5,1,2,6] => [4,2,5,1,3,6] => 00001 => [5,1]
[4,2,5,1,6,2] => [4,2,6,1,3,5] => 00000 => [6]
[4,2,5,2,1,6] => [5,2,4,1,3,6] => 00001 => [5,1]
[4,2,5,2,6,1] => [6,2,4,1,3,5] => 00000 => [6]
[4,2,5,6,1,2] => [5,2,6,1,3,4] => 00000 => [6]
[4,2,5,6,2,1] => [6,2,5,1,3,4] => 00000 => [6]
[4,2,6,1,2,5] => [4,2,5,1,6,3] => 00000 => [6]
[4,2,6,1,5,2] => [4,2,6,1,5,3] => 00000 => [6]
[4,2,6,2,1,5] => [5,2,4,1,6,3] => 00000 => [6]
[4,2,6,2,5,1] => [6,2,4,1,5,3] => 00000 => [6]
[4,2,6,5,1,2] => [5,2,6,1,4,3] => 00000 => [6]
[4,2,6,5,2,1] => [6,2,5,1,4,3] => 00000 => [6]
[4,5,1,2,2,6] => [3,4,5,1,2,6] => 00001 => [5,1]
[4,5,1,2,6,2] => [3,4,6,1,2,5] => 00000 => [6]
[4,5,1,6,2,2] => [3,5,6,1,2,4] => 00000 => [6]
[4,5,2,1,2,6] => [4,3,5,1,2,6] => 00001 => [5,1]
[4,5,2,1,6,2] => [4,3,6,1,2,5] => 00000 => [6]
[4,5,2,2,1,6] => [5,3,4,1,2,6] => 00001 => [5,1]
[4,5,2,2,6,1] => [6,3,4,1,2,5] => 00000 => [6]
[4,5,2,6,1,2] => [5,3,6,1,2,4] => 00000 => [6]
[4,5,2,6,2,1] => [6,3,5,1,2,4] => 00000 => [6]
[4,5,6,1,2,2] => [4,5,6,1,2,3] => 00000 => [6]
[4,5,6,2,1,2] => [5,4,6,1,2,3] => 00000 => [6]
[4,5,6,2,2,1] => [6,4,5,1,2,3] => 00000 => [6]
[4,6,1,2,2,5] => [3,4,5,1,6,2] => 00000 => [6]
[4,6,1,2,5,2] => [3,4,6,1,5,2] => 00000 => [6]
[4,6,1,5,2,2] => [3,5,6,1,4,2] => 00000 => [6]
[4,6,2,1,2,5] => [4,3,5,1,6,2] => 00000 => [6]
[4,6,2,1,5,2] => [4,3,6,1,5,2] => 00000 => [6]
[4,6,2,2,1,5] => [5,3,4,1,6,2] => 00000 => [6]
[4,6,2,2,5,1] => [6,3,4,1,5,2] => 00000 => [6]
[4,6,2,5,1,2] => [5,3,6,1,4,2] => 00000 => [6]
[4,6,2,5,2,1] => [6,3,5,1,4,2] => 00000 => [6]
[4,6,5,1,2,2] => [4,5,6,1,3,2] => 00000 => [6]
[4,6,5,2,1,2] => [5,4,6,1,3,2] => 00000 => [6]
[4,6,5,2,2,1] => [6,4,5,1,3,2] => 00000 => [6]
[5,1,2,2,4,6] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,2,2,6,4] => [2,3,4,6,1,5] => 00000 => [6]
[5,1,2,4,2,6] => [2,3,5,4,1,6] => 00001 => [5,1]
[5,1,2,4,6,2] => [2,3,6,4,1,5] => 00000 => [6]
[5,1,2,6,2,4] => [2,3,5,6,1,4] => 00000 => [6]
[5,1,2,6,4,2] => [2,3,6,5,1,4] => 00000 => [6]
[5,1,4,2,2,6] => [2,4,5,3,1,6] => 00001 => [5,1]
[5,1,4,2,6,2] => [2,4,6,3,1,5] => 00000 => [6]
[5,1,4,6,2,2] => [2,5,6,3,1,4] => 00000 => [6]
[5,1,6,2,2,4] => [2,4,5,6,1,3] => 00000 => [6]
[5,1,6,2,4,2] => [2,4,6,5,1,3] => 00000 => [6]
[5,1,6,4,2,2] => [2,5,6,4,1,3] => 00000 => [6]
[5,2,1,2,4,6] => [3,2,4,5,1,6] => 00001 => [5,1]
[5,2,1,2,6,4] => [3,2,4,6,1,5] => 00000 => [6]
[5,2,1,4,2,6] => [3,2,5,4,1,6] => 00001 => [5,1]
[5,2,1,4,6,2] => [3,2,6,4,1,5] => 00000 => [6]
[5,2,1,6,2,4] => [3,2,5,6,1,4] => 00000 => [6]
[5,2,1,6,4,2] => [3,2,6,5,1,4] => 00000 => [6]
[5,2,2,1,4,6] => [4,2,3,5,1,6] => 00001 => [5,1]
[5,2,2,1,6,4] => [4,2,3,6,1,5] => 00000 => [6]
[5,2,2,4,1,6] => [5,2,3,4,1,6] => 00001 => [5,1]
[5,2,2,4,6,1] => [6,2,3,4,1,5] => 00000 => [6]
[5,2,2,6,1,4] => [5,2,3,6,1,4] => 00000 => [6]
[5,2,2,6,4,1] => [6,2,3,5,1,4] => 00000 => [6]
[5,2,4,1,2,6] => [4,2,5,3,1,6] => 00001 => [5,1]
[5,2,4,1,6,2] => [4,2,6,3,1,5] => 00000 => [6]
[5,2,4,2,1,6] => [5,2,4,3,1,6] => 00001 => [5,1]
[5,2,4,2,6,1] => [6,2,4,3,1,5] => 00000 => [6]
[5,2,4,6,1,2] => [5,2,6,3,1,4] => 00000 => [6]
[5,2,4,6,2,1] => [6,2,5,3,1,4] => 00000 => [6]
[5,2,6,1,2,4] => [4,2,5,6,1,3] => 00000 => [6]
[5,2,6,1,4,2] => [4,2,6,5,1,3] => 00000 => [6]
[5,2,6,2,1,4] => [5,2,4,6,1,3] => 00000 => [6]
[5,2,6,2,4,1] => [6,2,4,5,1,3] => 00000 => [6]
[5,2,6,4,1,2] => [5,2,6,4,1,3] => 00000 => [6]
[5,2,6,4,2,1] => [6,2,5,4,1,3] => 00000 => [6]
[5,4,1,2,2,6] => [3,4,5,2,1,6] => 00001 => [5,1]
[5,4,1,2,6,2] => [3,4,6,2,1,5] => 00000 => [6]
[5,4,1,6,2,2] => [3,5,6,2,1,4] => 00000 => [6]
[5,4,2,1,2,6] => [4,3,5,2,1,6] => 00001 => [5,1]
[5,4,2,1,6,2] => [4,3,6,2,1,5] => 00000 => [6]
[5,4,2,2,1,6] => [5,3,4,2,1,6] => 00001 => [5,1]
[5,4,2,2,6,1] => [6,3,4,2,1,5] => 00000 => [6]
[5,4,2,6,1,2] => [5,3,6,2,1,4] => 00000 => [6]
[5,4,2,6,2,1] => [6,3,5,2,1,4] => 00000 => [6]
[5,4,6,1,2,2] => [4,5,6,2,1,3] => 00000 => [6]
[5,4,6,2,1,2] => [5,4,6,2,1,3] => 00000 => [6]
[5,4,6,2,2,1] => [6,4,5,2,1,3] => 00000 => [6]
[5,6,1,2,2,4] => [3,4,5,6,1,2] => 00000 => [6]
[5,6,1,2,4,2] => [3,4,6,5,1,2] => 00000 => [6]
[5,6,1,4,2,2] => [3,5,6,4,1,2] => 00000 => [6]
[5,6,2,1,2,4] => [4,3,5,6,1,2] => 00000 => [6]
[5,6,2,1,4,2] => [4,3,6,5,1,2] => 00000 => [6]
[5,6,2,2,1,4] => [5,3,4,6,1,2] => 00000 => [6]
[5,6,2,2,4,1] => [6,3,4,5,1,2] => 00000 => [6]
[5,6,2,4,1,2] => [5,3,6,4,1,2] => 00000 => [6]
[5,6,2,4,2,1] => [6,3,5,4,1,2] => 00000 => [6]
[5,6,4,1,2,2] => [4,5,6,3,1,2] => 00000 => [6]
[5,6,4,2,1,2] => [5,4,6,3,1,2] => 00000 => [6]
[5,6,4,2,2,1] => [6,4,5,3,1,2] => 00000 => [6]
[6,1,2,2,4,5] => [2,3,4,5,6,1] => 00000 => [6]
[6,1,2,2,5,4] => [2,3,4,6,5,1] => 00000 => [6]
[6,1,2,4,2,5] => [2,3,5,4,6,1] => 00000 => [6]
[6,1,2,4,5,2] => [2,3,6,4,5,1] => 00000 => [6]
[6,1,2,5,2,4] => [2,3,5,6,4,1] => 00000 => [6]
[6,1,2,5,4,2] => [2,3,6,5,4,1] => 00000 => [6]
[6,1,4,2,2,5] => [2,4,5,3,6,1] => 00000 => [6]
[6,1,4,2,5,2] => [2,4,6,3,5,1] => 00000 => [6]
[6,1,4,5,2,2] => [2,5,6,3,4,1] => 00000 => [6]
[6,1,5,2,2,4] => [2,4,5,6,3,1] => 00000 => [6]
[6,1,5,2,4,2] => [2,4,6,5,3,1] => 00000 => [6]
[6,1,5,4,2,2] => [2,5,6,4,3,1] => 00000 => [6]
[6,2,1,2,4,5] => [3,2,4,5,6,1] => 00000 => [6]
[6,2,1,2,5,4] => [3,2,4,6,5,1] => 00000 => [6]
[6,2,1,4,2,5] => [3,2,5,4,6,1] => 00000 => [6]
[6,2,1,4,5,2] => [3,2,6,4,5,1] => 00000 => [6]
[6,2,1,5,2,4] => [3,2,5,6,4,1] => 00000 => [6]
[6,2,1,5,4,2] => [3,2,6,5,4,1] => 00000 => [6]
[6,2,2,1,4,5] => [4,2,3,5,6,1] => 00000 => [6]
[6,2,2,1,5,4] => [4,2,3,6,5,1] => 00000 => [6]
[6,2,2,4,1,5] => [5,2,3,4,6,1] => 00000 => [6]
[6,2,2,4,5,1] => [6,2,3,4,5,1] => 00000 => [6]
[6,2,2,5,1,4] => [5,2,3,6,4,1] => 00000 => [6]
[6,2,2,5,4,1] => [6,2,3,5,4,1] => 00000 => [6]
[6,2,4,1,2,5] => [4,2,5,3,6,1] => 00000 => [6]
[6,2,4,1,5,2] => [4,2,6,3,5,1] => 00000 => [6]
[6,2,4,2,1,5] => [5,2,4,3,6,1] => 00000 => [6]
[6,2,4,2,5,1] => [6,2,4,3,5,1] => 00000 => [6]
[6,2,4,5,1,2] => [5,2,6,3,4,1] => 00000 => [6]
[6,2,4,5,2,1] => [6,2,5,3,4,1] => 00000 => [6]
[6,2,5,1,2,4] => [4,2,5,6,3,1] => 00000 => [6]
[6,2,5,1,4,2] => [4,2,6,5,3,1] => 00000 => [6]
[6,2,5,2,1,4] => [5,2,4,6,3,1] => 00000 => [6]
[6,2,5,2,4,1] => [6,2,4,5,3,1] => 00000 => [6]
[6,2,5,4,1,2] => [5,2,6,4,3,1] => 00000 => [6]
[6,2,5,4,2,1] => [6,2,5,4,3,1] => 00000 => [6]
[6,4,1,2,2,5] => [3,4,5,2,6,1] => 00000 => [6]
[6,4,1,2,5,2] => [3,4,6,2,5,1] => 00000 => [6]
[6,4,1,5,2,2] => [3,5,6,2,4,1] => 00000 => [6]
[6,4,2,1,2,5] => [4,3,5,2,6,1] => 00000 => [6]
[6,4,2,1,5,2] => [4,3,6,2,5,1] => 00000 => [6]
[6,4,2,2,1,5] => [5,3,4,2,6,1] => 00000 => [6]
[6,4,2,2,5,1] => [6,3,4,2,5,1] => 00000 => [6]
[6,4,2,5,1,2] => [5,3,6,2,4,1] => 00000 => [6]
[6,4,2,5,2,1] => [6,3,5,2,4,1] => 00000 => [6]
[6,4,5,1,2,2] => [4,5,6,2,3,1] => 00000 => [6]
[6,4,5,2,1,2] => [5,4,6,2,3,1] => 00000 => [6]
[6,4,5,2,2,1] => [6,4,5,2,3,1] => 00000 => [6]
[6,5,1,2,2,4] => [3,4,5,6,2,1] => 00000 => [6]
[6,5,1,2,4,2] => [3,4,6,5,2,1] => 00000 => [6]
[6,5,1,4,2,2] => [3,5,6,4,2,1] => 00000 => [6]
[6,5,2,1,2,4] => [4,3,5,6,2,1] => 00000 => [6]
[6,5,2,1,4,2] => [4,3,6,5,2,1] => 00000 => [6]
[6,5,2,2,1,4] => [5,3,4,6,2,1] => 00000 => [6]
[6,5,2,2,4,1] => [6,3,4,5,2,1] => 00000 => [6]
[6,5,2,4,1,2] => [5,3,6,4,2,1] => 00000 => [6]
[6,5,2,4,2,1] => [6,3,5,4,2,1] => 00000 => [6]
[6,5,4,1,2,2] => [4,5,6,3,2,1] => 00000 => [6]
[6,5,4,2,1,2] => [5,4,6,3,2,1] => 00000 => [6]
[6,5,4,2,2,1] => [6,4,5,3,2,1] => 00000 => [6]
[1,2,3,3,3,3] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,3,2,3,3,3] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,3,2,3,3] => [1,4,2,3,5,6] => 10011 => [1,3,1,1]
[1,3,3,3,2,3] => [1,5,2,3,4,6] => 10001 => [1,4,1]
[1,3,3,3,3,2] => [1,6,2,3,4,5] => 10000 => [1,5]
[2,1,3,3,3,3] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,3,1,3,3,3] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,3,3,1,3,3] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,3,3,3,1,3] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,3,3,3,3,1] => [6,1,2,3,4,5] => 00000 => [6]
[3,1,2,3,3,3] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,3,2,3,3] => [2,4,1,3,5,6] => 00011 => [4,1,1]
[3,1,3,3,2,3] => [2,5,1,3,4,6] => 00001 => [5,1]
[3,1,3,3,3,2] => [2,6,1,3,4,5] => 00000 => [6]
[3,2,1,3,3,3] => [3,2,1,4,5,6] => 00111 => [3,1,1,1]
[3,2,3,1,3,3] => [4,2,1,3,5,6] => 00011 => [4,1,1]
[3,2,3,3,1,3] => [5,2,1,3,4,6] => 00001 => [5,1]
[3,2,3,3,3,1] => [6,2,1,3,4,5] => 00000 => [6]
[3,3,1,2,3,3] => [3,4,1,2,5,6] => 00011 => [4,1,1]
[3,3,1,3,2,3] => [3,5,1,2,4,6] => 00001 => [5,1]
[3,3,1,3,3,2] => [3,6,1,2,4,5] => 00000 => [6]
[3,3,2,1,3,3] => [4,3,1,2,5,6] => 00011 => [4,1,1]
[3,3,2,3,1,3] => [5,3,1,2,4,6] => 00001 => [5,1]
[3,3,2,3,3,1] => [6,3,1,2,4,5] => 00000 => [6]
[3,3,3,1,2,3] => [4,5,1,2,3,6] => 00001 => [5,1]
[3,3,3,1,3,2] => [4,6,1,2,3,5] => 00000 => [6]
[3,3,3,2,1,3] => [5,4,1,2,3,6] => 00001 => [5,1]
[3,3,3,2,3,1] => [6,4,1,2,3,5] => 00000 => [6]
[3,3,3,3,1,2] => [5,6,1,2,3,4] => 00000 => [6]
[3,3,3,3,2,1] => [6,5,1,2,3,4] => 00000 => [6]
[1,2,3,3,3,4] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,3,3,4,3] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,3,4,3,3] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,4,3,3,3] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,3,2,3,3,4] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,2,3,4,3] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,2,4,3,3] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,3,2,3,4] => [1,4,2,3,5,6] => 10011 => [1,3,1,1]
[1,3,3,2,4,3] => [1,4,2,3,5,6] => 10011 => [1,3,1,1]
[1,3,3,3,2,4] => [1,5,2,3,4,6] => 10001 => [1,4,1]
[1,3,3,3,4,2] => [1,6,2,3,4,5] => 10000 => [1,5]
[1,3,3,4,2,3] => [1,5,2,3,4,6] => 10001 => [1,4,1]
[1,3,3,4,3,2] => [1,6,2,3,4,5] => 10000 => [1,5]
[1,3,4,2,3,3] => [1,4,2,3,5,6] => 10011 => [1,3,1,1]
[1,3,4,3,2,3] => [1,5,2,3,4,6] => 10001 => [1,4,1]
[1,3,4,3,3,2] => [1,6,2,3,4,5] => 10000 => [1,5]
[1,4,2,3,3,3] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,3,2,3,3] => [1,4,3,2,5,6] => 10011 => [1,3,1,1]
[1,4,3,3,2,3] => [1,5,3,2,4,6] => 10001 => [1,4,1]
[1,4,3,3,3,2] => [1,6,3,2,4,5] => 10000 => [1,5]
[2,1,3,3,3,4] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,3,3,4,3] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,3,4,3,3] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,4,3,3,3] => [2,1,4,3,5,6] => 01011 => [2,2,1,1]
[2,3,1,3,3,4] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,3,1,3,4,3] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,3,1,4,3,3] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,3,3,1,3,4] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,3,3,1,4,3] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,3,3,3,1,4] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,3,3,3,4,1] => [6,1,2,3,4,5] => 00000 => [6]
[2,3,3,4,1,3] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,3,3,4,3,1] => [6,1,2,3,4,5] => 00000 => [6]
[2,3,4,1,3,3] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,3,4,3,1,3] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,3,4,3,3,1] => [6,1,2,3,4,5] => 00000 => [6]
[2,4,1,3,3,3] => [3,1,4,2,5,6] => 00011 => [4,1,1]
[2,4,3,1,3,3] => [4,1,3,2,5,6] => 00011 => [4,1,1]
[2,4,3,3,1,3] => [5,1,3,2,4,6] => 00001 => [5,1]
[2,4,3,3,3,1] => [6,1,3,2,4,5] => 00000 => [6]
[3,1,2,3,3,4] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,2,3,4,3] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,2,4,3,3] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,3,2,3,4] => [2,4,1,3,5,6] => 00011 => [4,1,1]
[3,1,3,2,4,3] => [2,4,1,3,5,6] => 00011 => [4,1,1]
[3,1,3,3,2,4] => [2,5,1,3,4,6] => 00001 => [5,1]
[3,1,3,3,4,2] => [2,6,1,3,4,5] => 00000 => [6]
[3,1,3,4,2,3] => [2,5,1,3,4,6] => 00001 => [5,1]
[3,1,3,4,3,2] => [2,6,1,3,4,5] => 00000 => [6]
[3,1,4,2,3,3] => [2,4,1,3,5,6] => 00011 => [4,1,1]
[3,1,4,3,2,3] => [2,5,1,3,4,6] => 00001 => [5,1]
[3,1,4,3,3,2] => [2,6,1,3,4,5] => 00000 => [6]
[3,2,1,3,3,4] => [3,2,1,4,5,6] => 00111 => [3,1,1,1]
[3,2,1,3,4,3] => [3,2,1,4,5,6] => 00111 => [3,1,1,1]
[3,2,1,4,3,3] => [3,2,1,4,5,6] => 00111 => [3,1,1,1]
[3,2,3,1,3,4] => [4,2,1,3,5,6] => 00011 => [4,1,1]
[3,2,3,1,4,3] => [4,2,1,3,5,6] => 00011 => [4,1,1]
[3,2,3,3,1,4] => [5,2,1,3,4,6] => 00001 => [5,1]
[3,2,3,3,4,1] => [6,2,1,3,4,5] => 00000 => [6]
[3,2,3,4,1,3] => [5,2,1,3,4,6] => 00001 => [5,1]
[3,2,3,4,3,1] => [6,2,1,3,4,5] => 00000 => [6]
[3,2,4,1,3,3] => [4,2,1,3,5,6] => 00011 => [4,1,1]
[3,2,4,3,1,3] => [5,2,1,3,4,6] => 00001 => [5,1]
[3,2,4,3,3,1] => [6,2,1,3,4,5] => 00000 => [6]
[3,3,1,2,3,4] => [3,4,1,2,5,6] => 00011 => [4,1,1]
[3,3,1,2,4,3] => [3,4,1,2,5,6] => 00011 => [4,1,1]
[3,3,1,3,2,4] => [3,5,1,2,4,6] => 00001 => [5,1]
[3,3,1,3,4,2] => [3,6,1,2,4,5] => 00000 => [6]
[3,3,1,4,2,3] => [3,5,1,2,4,6] => 00001 => [5,1]
[3,3,1,4,3,2] => [3,6,1,2,4,5] => 00000 => [6]
[3,3,2,1,3,4] => [4,3,1,2,5,6] => 00011 => [4,1,1]
[3,3,2,1,4,3] => [4,3,1,2,5,6] => 00011 => [4,1,1]
[3,3,2,3,1,4] => [5,3,1,2,4,6] => 00001 => [5,1]
[3,3,2,3,4,1] => [6,3,1,2,4,5] => 00000 => [6]
[3,3,2,4,1,3] => [5,3,1,2,4,6] => 00001 => [5,1]
[3,3,2,4,3,1] => [6,3,1,2,4,5] => 00000 => [6]
[3,3,3,1,2,4] => [4,5,1,2,3,6] => 00001 => [5,1]
[3,3,3,1,4,2] => [4,6,1,2,3,5] => 00000 => [6]
[3,3,3,2,1,4] => [5,4,1,2,3,6] => 00001 => [5,1]
[3,3,3,2,4,1] => [6,4,1,2,3,5] => 00000 => [6]
[3,3,3,4,1,2] => [5,6,1,2,3,4] => 00000 => [6]
[3,3,3,4,2,1] => [6,5,1,2,3,4] => 00000 => [6]
[3,3,4,1,2,3] => [4,5,1,2,3,6] => 00001 => [5,1]
[3,3,4,1,3,2] => [4,6,1,2,3,5] => 00000 => [6]
[3,3,4,2,1,3] => [5,4,1,2,3,6] => 00001 => [5,1]
[3,3,4,2,3,1] => [6,4,1,2,3,5] => 00000 => [6]
[3,3,4,3,1,2] => [5,6,1,2,3,4] => 00000 => [6]
[3,3,4,3,2,1] => [6,5,1,2,3,4] => 00000 => [6]
[3,4,1,2,3,3] => [3,4,1,2,5,6] => 00011 => [4,1,1]
[3,4,1,3,2,3] => [3,5,1,2,4,6] => 00001 => [5,1]
[3,4,1,3,3,2] => [3,6,1,2,4,5] => 00000 => [6]
[3,4,2,1,3,3] => [4,3,1,2,5,6] => 00011 => [4,1,1]
[3,4,2,3,1,3] => [5,3,1,2,4,6] => 00001 => [5,1]
[3,4,2,3,3,1] => [6,3,1,2,4,5] => 00000 => [6]
[3,4,3,1,2,3] => [4,5,1,2,3,6] => 00001 => [5,1]
[3,4,3,1,3,2] => [4,6,1,2,3,5] => 00000 => [6]
[3,4,3,2,1,3] => [5,4,1,2,3,6] => 00001 => [5,1]
[3,4,3,2,3,1] => [6,4,1,2,3,5] => 00000 => [6]
[3,4,3,3,1,2] => [5,6,1,2,3,4] => 00000 => [6]
[3,4,3,3,2,1] => [6,5,1,2,3,4] => 00000 => [6]
[4,1,2,3,3,3] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,3,2,3,3] => [2,4,3,1,5,6] => 00011 => [4,1,1]
[4,1,3,3,2,3] => [2,5,3,1,4,6] => 00001 => [5,1]
[4,1,3,3,3,2] => [2,6,3,1,4,5] => 00000 => [6]
[4,2,1,3,3,3] => [3,2,4,1,5,6] => 00011 => [4,1,1]
[4,2,3,1,3,3] => [4,2,3,1,5,6] => 00011 => [4,1,1]
[4,2,3,3,1,3] => [5,2,3,1,4,6] => 00001 => [5,1]
[4,2,3,3,3,1] => [6,2,3,1,4,5] => 00000 => [6]
[4,3,1,2,3,3] => [3,4,2,1,5,6] => 00011 => [4,1,1]
[4,3,1,3,2,3] => [3,5,2,1,4,6] => 00001 => [5,1]
[4,3,1,3,3,2] => [3,6,2,1,4,5] => 00000 => [6]
[4,3,2,1,3,3] => [4,3,2,1,5,6] => 00011 => [4,1,1]
[4,3,2,3,1,3] => [5,3,2,1,4,6] => 00001 => [5,1]
[4,3,2,3,3,1] => [6,3,2,1,4,5] => 00000 => [6]
[4,3,3,1,2,3] => [4,5,2,1,3,6] => 00001 => [5,1]
[4,3,3,1,3,2] => [4,6,2,1,3,5] => 00000 => [6]
[4,3,3,2,1,3] => [5,4,2,1,3,6] => 00001 => [5,1]
[4,3,3,2,3,1] => [6,4,2,1,3,5] => 00000 => [6]
[4,3,3,3,1,2] => [5,6,2,1,3,4] => 00000 => [6]
[4,3,3,3,2,1] => [6,5,2,1,3,4] => 00000 => [6]
[1,2,3,3,3,5] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,3,3,5,3] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,3,5,3,3] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,2,5,3,3,3] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,3,2,3,3,5] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,2,3,5,3] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,2,5,3,3] => [1,3,2,5,4,6] => 10101 => [1,2,2,1]
[1,3,3,2,3,5] => [1,4,2,3,5,6] => 10011 => [1,3,1,1]
[1,3,3,2,5,3] => [1,4,2,3,5,6] => 10011 => [1,3,1,1]
[1,3,3,3,2,5] => [1,5,2,3,4,6] => 10001 => [1,4,1]
[1,3,3,3,5,2] => [1,6,2,3,4,5] => 10000 => [1,5]
[1,3,3,5,2,3] => [1,5,2,3,4,6] => 10001 => [1,4,1]
[1,3,3,5,3,2] => [1,6,2,3,4,5] => 10000 => [1,5]
[1,3,5,2,3,3] => [1,4,2,5,3,6] => 10001 => [1,4,1]
[1,3,5,3,2,3] => [1,5,2,4,3,6] => 10001 => [1,4,1]
[1,3,5,3,3,2] => [1,6,2,4,3,5] => 10000 => [1,5]
[1,5,2,3,3,3] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,3,2,3,3] => [1,4,3,5,2,6] => 10001 => [1,4,1]
[1,5,3,3,2,3] => [1,5,3,4,2,6] => 10001 => [1,4,1]
[1,5,3,3,3,2] => [1,6,3,4,2,5] => 10000 => [1,5]
[2,1,3,3,3,5] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,3,3,5,3] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,3,5,3,3] => [2,1,3,5,4,6] => 01101 => [2,1,2,1]
[2,1,5,3,3,3] => [2,1,4,5,3,6] => 01001 => [2,3,1]
[2,3,1,3,3,5] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,3,1,3,5,3] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,3,1,5,3,3] => [3,1,2,5,4,6] => 00101 => [3,2,1]
[2,3,3,1,3,5] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,3,3,1,5,3] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,3,3,3,1,5] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,3,3,3,5,1] => [6,1,2,3,4,5] => 00000 => [6]
[2,3,3,5,1,3] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,3,3,5,3,1] => [6,1,2,3,4,5] => 00000 => [6]
[2,3,5,1,3,3] => [4,1,2,5,3,6] => 00001 => [5,1]
[2,3,5,3,1,3] => [5,1,2,4,3,6] => 00001 => [5,1]
[2,3,5,3,3,1] => [6,1,2,4,3,5] => 00000 => [6]
[2,5,1,3,3,3] => [3,1,4,5,2,6] => 00001 => [5,1]
[2,5,3,1,3,3] => [4,1,3,5,2,6] => 00001 => [5,1]
[2,5,3,3,1,3] => [5,1,3,4,2,6] => 00001 => [5,1]
[2,5,3,3,3,1] => [6,1,3,4,2,5] => 00000 => [6]
[3,1,2,3,3,5] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,2,3,5,3] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,2,5,3,3] => [2,3,1,5,4,6] => 00101 => [3,2,1]
[3,1,3,2,3,5] => [2,4,1,3,5,6] => 00011 => [4,1,1]
[3,1,3,2,5,3] => [2,4,1,3,5,6] => 00011 => [4,1,1]
[3,1,3,3,2,5] => [2,5,1,3,4,6] => 00001 => [5,1]
[3,1,3,3,5,2] => [2,6,1,3,4,5] => 00000 => [6]
[3,1,3,5,2,3] => [2,5,1,3,4,6] => 00001 => [5,1]
[3,1,3,5,3,2] => [2,6,1,3,4,5] => 00000 => [6]
[3,1,5,2,3,3] => [2,4,1,5,3,6] => 00001 => [5,1]
[3,1,5,3,2,3] => [2,5,1,4,3,6] => 00001 => [5,1]
[3,1,5,3,3,2] => [2,6,1,4,3,5] => 00000 => [6]
[3,2,1,3,3,5] => [3,2,1,4,5,6] => 00111 => [3,1,1,1]
[3,2,1,3,5,3] => [3,2,1,4,5,6] => 00111 => [3,1,1,1]
[3,2,1,5,3,3] => [3,2,1,5,4,6] => 00101 => [3,2,1]
[3,2,3,1,3,5] => [4,2,1,3,5,6] => 00011 => [4,1,1]
[3,2,3,1,5,3] => [4,2,1,3,5,6] => 00011 => [4,1,1]
[3,2,3,3,1,5] => [5,2,1,3,4,6] => 00001 => [5,1]
[3,2,3,3,5,1] => [6,2,1,3,4,5] => 00000 => [6]
[3,2,3,5,1,3] => [5,2,1,3,4,6] => 00001 => [5,1]
[3,2,3,5,3,1] => [6,2,1,3,4,5] => 00000 => [6]
[3,2,5,1,3,3] => [4,2,1,5,3,6] => 00001 => [5,1]
[3,2,5,3,1,3] => [5,2,1,4,3,6] => 00001 => [5,1]
[3,2,5,3,3,1] => [6,2,1,4,3,5] => 00000 => [6]
[3,3,1,2,3,5] => [3,4,1,2,5,6] => 00011 => [4,1,1]
[3,3,1,2,5,3] => [3,4,1,2,5,6] => 00011 => [4,1,1]
[3,3,1,3,2,5] => [3,5,1,2,4,6] => 00001 => [5,1]
[3,3,1,3,5,2] => [3,6,1,2,4,5] => 00000 => [6]
[3,3,1,5,2,3] => [3,5,1,2,4,6] => 00001 => [5,1]
[3,3,1,5,3,2] => [3,6,1,2,4,5] => 00000 => [6]
[3,3,2,1,3,5] => [4,3,1,2,5,6] => 00011 => [4,1,1]
[3,3,2,1,5,3] => [4,3,1,2,5,6] => 00011 => [4,1,1]
[3,3,2,3,1,5] => [5,3,1,2,4,6] => 00001 => [5,1]
[3,3,2,3,5,1] => [6,3,1,2,4,5] => 00000 => [6]
[3,3,2,5,1,3] => [5,3,1,2,4,6] => 00001 => [5,1]
[3,3,2,5,3,1] => [6,3,1,2,4,5] => 00000 => [6]
[3,3,3,1,2,5] => [4,5,1,2,3,6] => 00001 => [5,1]
[3,3,3,1,5,2] => [4,6,1,2,3,5] => 00000 => [6]
[3,3,3,2,1,5] => [5,4,1,2,3,6] => 00001 => [5,1]
[3,3,3,2,5,1] => [6,4,1,2,3,5] => 00000 => [6]
[3,3,3,5,1,2] => [5,6,1,2,3,4] => 00000 => [6]
[3,3,3,5,2,1] => [6,5,1,2,3,4] => 00000 => [6]
[3,3,5,1,2,3] => [4,5,1,2,3,6] => 00001 => [5,1]
[3,3,5,1,3,2] => [4,6,1,2,3,5] => 00000 => [6]
[3,3,5,2,1,3] => [5,4,1,2,3,6] => 00001 => [5,1]
[3,3,5,2,3,1] => [6,4,1,2,3,5] => 00000 => [6]
[3,3,5,3,1,2] => [5,6,1,2,3,4] => 00000 => [6]
[3,3,5,3,2,1] => [6,5,1,2,3,4] => 00000 => [6]
[3,5,1,2,3,3] => [3,4,1,5,2,6] => 00001 => [5,1]
[3,5,1,3,2,3] => [3,5,1,4,2,6] => 00001 => [5,1]
[3,5,1,3,3,2] => [3,6,1,4,2,5] => 00000 => [6]
[3,5,2,1,3,3] => [4,3,1,5,2,6] => 00001 => [5,1]
[3,5,2,3,1,3] => [5,3,1,4,2,6] => 00001 => [5,1]
[3,5,2,3,3,1] => [6,3,1,4,2,5] => 00000 => [6]
[3,5,3,1,2,3] => [4,5,1,3,2,6] => 00001 => [5,1]
[3,5,3,1,3,2] => [4,6,1,3,2,5] => 00000 => [6]
[3,5,3,2,1,3] => [5,4,1,3,2,6] => 00001 => [5,1]
[3,5,3,2,3,1] => [6,4,1,3,2,5] => 00000 => [6]
[3,5,3,3,1,2] => [5,6,1,3,2,4] => 00000 => [6]
[3,5,3,3,2,1] => [6,5,1,3,2,4] => 00000 => [6]
[5,1,2,3,3,3] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,3,2,3,3] => [2,4,3,5,1,6] => 00001 => [5,1]
[5,1,3,3,2,3] => [2,5,3,4,1,6] => 00001 => [5,1]
[5,1,3,3,3,2] => [2,6,3,4,1,5] => 00000 => [6]
[5,2,1,3,3,3] => [3,2,4,5,1,6] => 00001 => [5,1]
[5,2,3,1,3,3] => [4,2,3,5,1,6] => 00001 => [5,1]
[5,2,3,3,1,3] => [5,2,3,4,1,6] => 00001 => [5,1]
[5,2,3,3,3,1] => [6,2,3,4,1,5] => 00000 => [6]
[5,3,1,2,3,3] => [3,4,2,5,1,6] => 00001 => [5,1]
[5,3,1,3,2,3] => [3,5,2,4,1,6] => 00001 => [5,1]
[5,3,1,3,3,2] => [3,6,2,4,1,5] => 00000 => [6]
[5,3,2,1,3,3] => [4,3,2,5,1,6] => 00001 => [5,1]
[5,3,2,3,1,3] => [5,3,2,4,1,6] => 00001 => [5,1]
[5,3,2,3,3,1] => [6,3,2,4,1,5] => 00000 => [6]
[5,3,3,1,2,3] => [4,5,2,3,1,6] => 00001 => [5,1]
[5,3,3,1,3,2] => [4,6,2,3,1,5] => 00000 => [6]
[5,3,3,2,1,3] => [5,4,2,3,1,6] => 00001 => [5,1]
[5,3,3,2,3,1] => [6,4,2,3,1,5] => 00000 => [6]
[5,3,3,3,1,2] => [5,6,2,3,1,4] => 00000 => [6]
[5,3,3,3,2,1] => [6,5,2,3,1,4] => 00000 => [6]
[1,2,3,3,3,6] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,3,3,6,3] => [1,2,3,4,6,5] => 11110 => [1,1,1,1,2]
[1,2,3,6,3,3] => [1,2,3,5,6,4] => 11100 => [1,1,1,3]
[1,2,6,3,3,3] => [1,2,4,5,6,3] => 11000 => [1,1,4]
[1,3,2,3,3,6] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,2,3,6,3] => [1,3,2,4,6,5] => 10110 => [1,2,1,2]
[1,3,2,6,3,3] => [1,3,2,5,6,4] => 10100 => [1,2,3]
[1,3,3,2,3,6] => [1,4,2,3,5,6] => 10011 => [1,3,1,1]
[1,3,3,2,6,3] => [1,4,2,3,6,5] => 10010 => [1,3,2]
[1,3,3,3,2,6] => [1,5,2,3,4,6] => 10001 => [1,4,1]
[1,3,3,3,6,2] => [1,6,2,3,4,5] => 10000 => [1,5]
[1,3,3,6,2,3] => [1,5,2,3,6,4] => 10000 => [1,5]
[1,3,3,6,3,2] => [1,6,2,3,5,4] => 10000 => [1,5]
[1,3,6,2,3,3] => [1,4,2,5,6,3] => 10000 => [1,5]
[1,3,6,3,2,3] => [1,5,2,4,6,3] => 10000 => [1,5]
[1,3,6,3,3,2] => [1,6,2,4,5,3] => 10000 => [1,5]
[1,6,2,3,3,3] => [1,3,4,5,6,2] => 10000 => [1,5]
[1,6,3,2,3,3] => [1,4,3,5,6,2] => 10000 => [1,5]
[1,6,3,3,2,3] => [1,5,3,4,6,2] => 10000 => [1,5]
[1,6,3,3,3,2] => [1,6,3,4,5,2] => 10000 => [1,5]
[2,1,3,3,3,6] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,3,3,6,3] => [2,1,3,4,6,5] => 01110 => [2,1,1,2]
[2,1,3,6,3,3] => [2,1,3,5,6,4] => 01100 => [2,1,3]
[2,1,6,3,3,3] => [2,1,4,5,6,3] => 01000 => [2,4]
[2,3,1,3,3,6] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,3,1,3,6,3] => [3,1,2,4,6,5] => 00110 => [3,1,2]
[2,3,1,6,3,3] => [3,1,2,5,6,4] => 00100 => [3,3]
[2,3,3,1,3,6] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,3,3,1,6,3] => [4,1,2,3,6,5] => 00010 => [4,2]
[2,3,3,3,1,6] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,3,3,3,6,1] => [6,1,2,3,4,5] => 00000 => [6]
[2,3,3,6,1,3] => [5,1,2,3,6,4] => 00000 => [6]
[2,3,3,6,3,1] => [6,1,2,3,5,4] => 00000 => [6]
[2,3,6,1,3,3] => [4,1,2,5,6,3] => 00000 => [6]
[2,3,6,3,1,3] => [5,1,2,4,6,3] => 00000 => [6]
[2,3,6,3,3,1] => [6,1,2,4,5,3] => 00000 => [6]
[2,6,1,3,3,3] => [3,1,4,5,6,2] => 00000 => [6]
[2,6,3,1,3,3] => [4,1,3,5,6,2] => 00000 => [6]
[2,6,3,3,1,3] => [5,1,3,4,6,2] => 00000 => [6]
[2,6,3,3,3,1] => [6,1,3,4,5,2] => 00000 => [6]
[3,1,2,3,3,6] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,2,3,6,3] => [2,3,1,4,6,5] => 00110 => [3,1,2]
[3,1,2,6,3,3] => [2,3,1,5,6,4] => 00100 => [3,3]
[3,1,3,2,3,6] => [2,4,1,3,5,6] => 00011 => [4,1,1]
[3,1,3,2,6,3] => [2,4,1,3,6,5] => 00010 => [4,2]
[3,1,3,3,2,6] => [2,5,1,3,4,6] => 00001 => [5,1]
[3,1,3,3,6,2] => [2,6,1,3,4,5] => 00000 => [6]
[3,1,3,6,2,3] => [2,5,1,3,6,4] => 00000 => [6]
[3,1,3,6,3,2] => [2,6,1,3,5,4] => 00000 => [6]
[3,1,6,2,3,3] => [2,4,1,5,6,3] => 00000 => [6]
[3,1,6,3,2,3] => [2,5,1,4,6,3] => 00000 => [6]
[3,1,6,3,3,2] => [2,6,1,4,5,3] => 00000 => [6]
[3,2,1,3,3,6] => [3,2,1,4,5,6] => 00111 => [3,1,1,1]
[3,2,1,3,6,3] => [3,2,1,4,6,5] => 00110 => [3,1,2]
[3,2,1,6,3,3] => [3,2,1,5,6,4] => 00100 => [3,3]
[3,2,3,1,3,6] => [4,2,1,3,5,6] => 00011 => [4,1,1]
[3,2,3,1,6,3] => [4,2,1,3,6,5] => 00010 => [4,2]
[3,2,3,3,1,6] => [5,2,1,3,4,6] => 00001 => [5,1]
[3,2,3,3,6,1] => [6,2,1,3,4,5] => 00000 => [6]
[3,2,3,6,1,3] => [5,2,1,3,6,4] => 00000 => [6]
[3,2,3,6,3,1] => [6,2,1,3,5,4] => 00000 => [6]
[3,2,6,1,3,3] => [4,2,1,5,6,3] => 00000 => [6]
[3,2,6,3,1,3] => [5,2,1,4,6,3] => 00000 => [6]
[3,2,6,3,3,1] => [6,2,1,4,5,3] => 00000 => [6]
[3,3,1,2,3,6] => [3,4,1,2,5,6] => 00011 => [4,1,1]
[3,3,1,2,6,3] => [3,4,1,2,6,5] => 00010 => [4,2]
[3,3,1,3,2,6] => [3,5,1,2,4,6] => 00001 => [5,1]
[3,3,1,3,6,2] => [3,6,1,2,4,5] => 00000 => [6]
[3,3,1,6,2,3] => [3,5,1,2,6,4] => 00000 => [6]
[3,3,1,6,3,2] => [3,6,1,2,5,4] => 00000 => [6]
[3,3,2,1,3,6] => [4,3,1,2,5,6] => 00011 => [4,1,1]
[3,3,2,1,6,3] => [4,3,1,2,6,5] => 00010 => [4,2]
[3,3,2,3,1,6] => [5,3,1,2,4,6] => 00001 => [5,1]
[3,3,2,3,6,1] => [6,3,1,2,4,5] => 00000 => [6]
[3,3,2,6,1,3] => [5,3,1,2,6,4] => 00000 => [6]
[3,3,2,6,3,1] => [6,3,1,2,5,4] => 00000 => [6]
[3,3,3,1,2,6] => [4,5,1,2,3,6] => 00001 => [5,1]
[3,3,3,1,6,2] => [4,6,1,2,3,5] => 00000 => [6]
[3,3,3,2,1,6] => [5,4,1,2,3,6] => 00001 => [5,1]
[3,3,3,2,6,1] => [6,4,1,2,3,5] => 00000 => [6]
[3,3,3,6,1,2] => [5,6,1,2,3,4] => 00000 => [6]
[3,3,3,6,2,1] => [6,5,1,2,3,4] => 00000 => [6]
[3,3,6,1,2,3] => [4,5,1,2,6,3] => 00000 => [6]
[3,3,6,1,3,2] => [4,6,1,2,5,3] => 00000 => [6]
[3,3,6,2,1,3] => [5,4,1,2,6,3] => 00000 => [6]
[3,3,6,2,3,1] => [6,4,1,2,5,3] => 00000 => [6]
[3,3,6,3,1,2] => [5,6,1,2,4,3] => 00000 => [6]
[3,3,6,3,2,1] => [6,5,1,2,4,3] => 00000 => [6]
[3,6,1,2,3,3] => [3,4,1,5,6,2] => 00000 => [6]
[3,6,1,3,2,3] => [3,5,1,4,6,2] => 00000 => [6]
[3,6,1,3,3,2] => [3,6,1,4,5,2] => 00000 => [6]
[3,6,2,1,3,3] => [4,3,1,5,6,2] => 00000 => [6]
[3,6,2,3,1,3] => [5,3,1,4,6,2] => 00000 => [6]
[3,6,2,3,3,1] => [6,3,1,4,5,2] => 00000 => [6]
[3,6,3,1,2,3] => [4,5,1,3,6,2] => 00000 => [6]
[3,6,3,1,3,2] => [4,6,1,3,5,2] => 00000 => [6]
[3,6,3,2,1,3] => [5,4,1,3,6,2] => 00000 => [6]
[3,6,3,2,3,1] => [6,4,1,3,5,2] => 00000 => [6]
[3,6,3,3,1,2] => [5,6,1,3,4,2] => 00000 => [6]
[3,6,3,3,2,1] => [6,5,1,3,4,2] => 00000 => [6]
[6,1,2,3,3,3] => [2,3,4,5,6,1] => 00000 => [6]
[6,1,3,2,3,3] => [2,4,3,5,6,1] => 00000 => [6]
[6,1,3,3,2,3] => [2,5,3,4,6,1] => 00000 => [6]
[6,1,3,3,3,2] => [2,6,3,4,5,1] => 00000 => [6]
[6,2,1,3,3,3] => [3,2,4,5,6,1] => 00000 => [6]
[6,2,3,1,3,3] => [4,2,3,5,6,1] => 00000 => [6]
[6,2,3,3,1,3] => [5,2,3,4,6,1] => 00000 => [6]
[6,2,3,3,3,1] => [6,2,3,4,5,1] => 00000 => [6]
[6,3,1,2,3,3] => [3,4,2,5,6,1] => 00000 => [6]
[6,3,1,3,2,3] => [3,5,2,4,6,1] => 00000 => [6]
[6,3,1,3,3,2] => [3,6,2,4,5,1] => 00000 => [6]
[6,3,2,1,3,3] => [4,3,2,5,6,1] => 00000 => [6]
[6,3,2,3,1,3] => [5,3,2,4,6,1] => 00000 => [6]
[6,3,2,3,3,1] => [6,3,2,4,5,1] => 00000 => [6]
[6,3,3,1,2,3] => [4,5,2,3,6,1] => 00000 => [6]
[6,3,3,1,3,2] => [4,6,2,3,5,1] => 00000 => [6]
[6,3,3,2,1,3] => [5,4,2,3,6,1] => 00000 => [6]
[6,3,3,2,3,1] => [6,4,2,3,5,1] => 00000 => [6]
[6,3,3,3,1,2] => [5,6,2,3,4,1] => 00000 => [6]
[6,3,3,3,2,1] => [6,5,2,3,4,1] => 00000 => [6]
[1,2,3,3,4,4] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,3,4,3,4] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,3,4,4,3] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,4,3,3,4] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,2,4,3,4,3] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,2,4,4,3,3] => [1,2,5,3,4,6] => 11001 => [1,1,3,1]
[1,3,2,3,4,4] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,2,4,3,4] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,2,4,4,3] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,3,2,4,4] => [1,4,2,3,5,6] => 10011 => [1,3,1,1]
[1,3,3,4,2,4] => [1,5,2,3,4,6] => 10001 => [1,4,1]
[1,3,3,4,4,2] => [1,6,2,3,4,5] => 10000 => [1,5]
[1,3,4,2,3,4] => [1,4,2,3,5,6] => 10011 => [1,3,1,1]
[1,3,4,2,4,3] => [1,4,2,3,5,6] => 10011 => [1,3,1,1]
[1,3,4,3,2,4] => [1,5,2,3,4,6] => 10001 => [1,4,1]
[1,3,4,3,4,2] => [1,6,2,3,4,5] => 10000 => [1,5]
[1,3,4,4,2,3] => [1,5,2,3,4,6] => 10001 => [1,4,1]
[1,3,4,4,3,2] => [1,6,2,3,4,5] => 10000 => [1,5]
[1,4,2,3,3,4] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,2,3,4,3] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,2,4,3,3] => [1,3,5,2,4,6] => 10001 => [1,4,1]
[1,4,3,2,3,4] => [1,4,3,2,5,6] => 10011 => [1,3,1,1]
[1,4,3,2,4,3] => [1,4,3,2,5,6] => 10011 => [1,3,1,1]
[1,4,3,3,2,4] => [1,5,3,2,4,6] => 10001 => [1,4,1]
[1,4,3,3,4,2] => [1,6,3,2,4,5] => 10000 => [1,5]
[1,4,3,4,2,3] => [1,5,3,2,4,6] => 10001 => [1,4,1]
[1,4,3,4,3,2] => [1,6,3,2,4,5] => 10000 => [1,5]
[1,4,4,2,3,3] => [1,4,5,2,3,6] => 10001 => [1,4,1]
[1,4,4,3,2,3] => [1,5,4,2,3,6] => 10001 => [1,4,1]
[1,4,4,3,3,2] => [1,6,4,2,3,5] => 10000 => [1,5]
[2,1,3,3,4,4] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,3,4,3,4] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,3,4,4,3] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,4,3,3,4] => [2,1,4,3,5,6] => 01011 => [2,2,1,1]
[2,1,4,3,4,3] => [2,1,4,3,5,6] => 01011 => [2,2,1,1]
[2,1,4,4,3,3] => [2,1,5,3,4,6] => 01001 => [2,3,1]
[2,3,1,3,4,4] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,3,1,4,3,4] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,3,1,4,4,3] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,3,3,1,4,4] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,3,3,4,1,4] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,3,3,4,4,1] => [6,1,2,3,4,5] => 00000 => [6]
[2,3,4,1,3,4] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,3,4,1,4,3] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,3,4,3,1,4] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,3,4,3,4,1] => [6,1,2,3,4,5] => 00000 => [6]
[2,3,4,4,1,3] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,3,4,4,3,1] => [6,1,2,3,4,5] => 00000 => [6]
[2,4,1,3,3,4] => [3,1,4,2,5,6] => 00011 => [4,1,1]
[2,4,1,3,4,3] => [3,1,4,2,5,6] => 00011 => [4,1,1]
[2,4,1,4,3,3] => [3,1,5,2,4,6] => 00001 => [5,1]
[2,4,3,1,3,4] => [4,1,3,2,5,6] => 00011 => [4,1,1]
[2,4,3,1,4,3] => [4,1,3,2,5,6] => 00011 => [4,1,1]
[2,4,3,3,1,4] => [5,1,3,2,4,6] => 00001 => [5,1]
[2,4,3,3,4,1] => [6,1,3,2,4,5] => 00000 => [6]
[2,4,3,4,1,3] => [5,1,3,2,4,6] => 00001 => [5,1]
[2,4,3,4,3,1] => [6,1,3,2,4,5] => 00000 => [6]
[2,4,4,1,3,3] => [4,1,5,2,3,6] => 00001 => [5,1]
[2,4,4,3,1,3] => [5,1,4,2,3,6] => 00001 => [5,1]
[2,4,4,3,3,1] => [6,1,4,2,3,5] => 00000 => [6]
[3,1,2,3,4,4] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,2,4,3,4] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,2,4,4,3] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,3,2,4,4] => [2,4,1,3,5,6] => 00011 => [4,1,1]
[3,1,3,4,2,4] => [2,5,1,3,4,6] => 00001 => [5,1]
[3,1,3,4,4,2] => [2,6,1,3,4,5] => 00000 => [6]
[3,1,4,2,3,4] => [2,4,1,3,5,6] => 00011 => [4,1,1]
[3,1,4,2,4,3] => [2,4,1,3,5,6] => 00011 => [4,1,1]
[3,1,4,3,2,4] => [2,5,1,3,4,6] => 00001 => [5,1]
[3,1,4,3,4,2] => [2,6,1,3,4,5] => 00000 => [6]
[3,1,4,4,2,3] => [2,5,1,3,4,6] => 00001 => [5,1]
[3,1,4,4,3,2] => [2,6,1,3,4,5] => 00000 => [6]
[3,2,1,3,4,4] => [3,2,1,4,5,6] => 00111 => [3,1,1,1]
[3,2,1,4,3,4] => [3,2,1,4,5,6] => 00111 => [3,1,1,1]
[3,2,1,4,4,3] => [3,2,1,4,5,6] => 00111 => [3,1,1,1]
[3,2,3,1,4,4] => [4,2,1,3,5,6] => 00011 => [4,1,1]
[3,2,3,4,1,4] => [5,2,1,3,4,6] => 00001 => [5,1]
[3,2,3,4,4,1] => [6,2,1,3,4,5] => 00000 => [6]
[3,2,4,1,3,4] => [4,2,1,3,5,6] => 00011 => [4,1,1]
[3,2,4,1,4,3] => [4,2,1,3,5,6] => 00011 => [4,1,1]
[3,2,4,3,1,4] => [5,2,1,3,4,6] => 00001 => [5,1]
[3,2,4,3,4,1] => [6,2,1,3,4,5] => 00000 => [6]
[3,2,4,4,1,3] => [5,2,1,3,4,6] => 00001 => [5,1]
[3,2,4,4,3,1] => [6,2,1,3,4,5] => 00000 => [6]
[3,3,1,2,4,4] => [3,4,1,2,5,6] => 00011 => [4,1,1]
[3,3,1,4,2,4] => [3,5,1,2,4,6] => 00001 => [5,1]
[3,3,1,4,4,2] => [3,6,1,2,4,5] => 00000 => [6]
[3,3,2,1,4,4] => [4,3,1,2,5,6] => 00011 => [4,1,1]
[3,3,2,4,1,4] => [5,3,1,2,4,6] => 00001 => [5,1]
[3,3,2,4,4,1] => [6,3,1,2,4,5] => 00000 => [6]
[3,3,4,1,2,4] => [4,5,1,2,3,6] => 00001 => [5,1]
[3,3,4,1,4,2] => [4,6,1,2,3,5] => 00000 => [6]
[3,3,4,2,1,4] => [5,4,1,2,3,6] => 00001 => [5,1]
[3,3,4,2,4,1] => [6,4,1,2,3,5] => 00000 => [6]
[3,3,4,4,1,2] => [5,6,1,2,3,4] => 00000 => [6]
[3,3,4,4,2,1] => [6,5,1,2,3,4] => 00000 => [6]
[3,4,1,2,3,4] => [3,4,1,2,5,6] => 00011 => [4,1,1]
[3,4,1,2,4,3] => [3,4,1,2,5,6] => 00011 => [4,1,1]
[3,4,1,3,2,4] => [3,5,1,2,4,6] => 00001 => [5,1]
[3,4,1,3,4,2] => [3,6,1,2,4,5] => 00000 => [6]
[3,4,1,4,2,3] => [3,5,1,2,4,6] => 00001 => [5,1]
[3,4,1,4,3,2] => [3,6,1,2,4,5] => 00000 => [6]
[3,4,2,1,3,4] => [4,3,1,2,5,6] => 00011 => [4,1,1]
[3,4,2,1,4,3] => [4,3,1,2,5,6] => 00011 => [4,1,1]
[3,4,2,3,1,4] => [5,3,1,2,4,6] => 00001 => [5,1]
[3,4,2,3,4,1] => [6,3,1,2,4,5] => 00000 => [6]
[3,4,2,4,1,3] => [5,3,1,2,4,6] => 00001 => [5,1]
[3,4,2,4,3,1] => [6,3,1,2,4,5] => 00000 => [6]
[3,4,3,1,2,4] => [4,5,1,2,3,6] => 00001 => [5,1]
[3,4,3,1,4,2] => [4,6,1,2,3,5] => 00000 => [6]
[3,4,3,2,1,4] => [5,4,1,2,3,6] => 00001 => [5,1]
[3,4,3,2,4,1] => [6,4,1,2,3,5] => 00000 => [6]
[3,4,3,4,1,2] => [5,6,1,2,3,4] => 00000 => [6]
[3,4,3,4,2,1] => [6,5,1,2,3,4] => 00000 => [6]
[3,4,4,1,2,3] => [4,5,1,2,3,6] => 00001 => [5,1]
[3,4,4,1,3,2] => [4,6,1,2,3,5] => 00000 => [6]
[3,4,4,2,1,3] => [5,4,1,2,3,6] => 00001 => [5,1]
[3,4,4,2,3,1] => [6,4,1,2,3,5] => 00000 => [6]
[3,4,4,3,1,2] => [5,6,1,2,3,4] => 00000 => [6]
[3,4,4,3,2,1] => [6,5,1,2,3,4] => 00000 => [6]
[4,1,2,3,3,4] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,2,3,4,3] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,2,4,3,3] => [2,3,5,1,4,6] => 00001 => [5,1]
[4,1,3,2,3,4] => [2,4,3,1,5,6] => 00011 => [4,1,1]
[4,1,3,2,4,3] => [2,4,3,1,5,6] => 00011 => [4,1,1]
[4,1,3,3,2,4] => [2,5,3,1,4,6] => 00001 => [5,1]
[4,1,3,3,4,2] => [2,6,3,1,4,5] => 00000 => [6]
[4,1,3,4,2,3] => [2,5,3,1,4,6] => 00001 => [5,1]
[4,1,3,4,3,2] => [2,6,3,1,4,5] => 00000 => [6]
[4,1,4,2,3,3] => [2,4,5,1,3,6] => 00001 => [5,1]
[4,1,4,3,2,3] => [2,5,4,1,3,6] => 00001 => [5,1]
[4,1,4,3,3,2] => [2,6,4,1,3,5] => 00000 => [6]
[4,2,1,3,3,4] => [3,2,4,1,5,6] => 00011 => [4,1,1]
[4,2,1,3,4,3] => [3,2,4,1,5,6] => 00011 => [4,1,1]
[4,2,1,4,3,3] => [3,2,5,1,4,6] => 00001 => [5,1]
[4,2,3,1,3,4] => [4,2,3,1,5,6] => 00011 => [4,1,1]
[4,2,3,1,4,3] => [4,2,3,1,5,6] => 00011 => [4,1,1]
[4,2,3,3,1,4] => [5,2,3,1,4,6] => 00001 => [5,1]
[4,2,3,3,4,1] => [6,2,3,1,4,5] => 00000 => [6]
[4,2,3,4,1,3] => [5,2,3,1,4,6] => 00001 => [5,1]
[4,2,3,4,3,1] => [6,2,3,1,4,5] => 00000 => [6]
[4,2,4,1,3,3] => [4,2,5,1,3,6] => 00001 => [5,1]
[4,2,4,3,1,3] => [5,2,4,1,3,6] => 00001 => [5,1]
[4,2,4,3,3,1] => [6,2,4,1,3,5] => 00000 => [6]
[4,3,1,2,3,4] => [3,4,2,1,5,6] => 00011 => [4,1,1]
[4,3,1,2,4,3] => [3,4,2,1,5,6] => 00011 => [4,1,1]
[4,3,1,3,2,4] => [3,5,2,1,4,6] => 00001 => [5,1]
[4,3,1,3,4,2] => [3,6,2,1,4,5] => 00000 => [6]
[4,3,1,4,2,3] => [3,5,2,1,4,6] => 00001 => [5,1]
[4,3,1,4,3,2] => [3,6,2,1,4,5] => 00000 => [6]
[4,3,2,1,3,4] => [4,3,2,1,5,6] => 00011 => [4,1,1]
[4,3,2,1,4,3] => [4,3,2,1,5,6] => 00011 => [4,1,1]
[4,3,2,3,1,4] => [5,3,2,1,4,6] => 00001 => [5,1]
[4,3,2,3,4,1] => [6,3,2,1,4,5] => 00000 => [6]
[4,3,2,4,1,3] => [5,3,2,1,4,6] => 00001 => [5,1]
[4,3,2,4,3,1] => [6,3,2,1,4,5] => 00000 => [6]
[4,3,3,1,2,4] => [4,5,2,1,3,6] => 00001 => [5,1]
[4,3,3,1,4,2] => [4,6,2,1,3,5] => 00000 => [6]
[4,3,3,2,1,4] => [5,4,2,1,3,6] => 00001 => [5,1]
[4,3,3,2,4,1] => [6,4,2,1,3,5] => 00000 => [6]
[4,3,3,4,1,2] => [5,6,2,1,3,4] => 00000 => [6]
[4,3,3,4,2,1] => [6,5,2,1,3,4] => 00000 => [6]
[4,3,4,1,2,3] => [4,5,2,1,3,6] => 00001 => [5,1]
[4,3,4,1,3,2] => [4,6,2,1,3,5] => 00000 => [6]
[4,3,4,2,1,3] => [5,4,2,1,3,6] => 00001 => [5,1]
[4,3,4,2,3,1] => [6,4,2,1,3,5] => 00000 => [6]
[4,3,4,3,1,2] => [5,6,2,1,3,4] => 00000 => [6]
[4,3,4,3,2,1] => [6,5,2,1,3,4] => 00000 => [6]
[4,4,1,2,3,3] => [3,4,5,1,2,6] => 00001 => [5,1]
[4,4,1,3,2,3] => [3,5,4,1,2,6] => 00001 => [5,1]
[4,4,1,3,3,2] => [3,6,4,1,2,5] => 00000 => [6]
[4,4,2,1,3,3] => [4,3,5,1,2,6] => 00001 => [5,1]
[4,4,2,3,1,3] => [5,3,4,1,2,6] => 00001 => [5,1]
[4,4,2,3,3,1] => [6,3,4,1,2,5] => 00000 => [6]
[4,4,3,1,2,3] => [4,5,3,1,2,6] => 00001 => [5,1]
[4,4,3,1,3,2] => [4,6,3,1,2,5] => 00000 => [6]
[4,4,3,2,1,3] => [5,4,3,1,2,6] => 00001 => [5,1]
[4,4,3,2,3,1] => [6,4,3,1,2,5] => 00000 => [6]
[4,4,3,3,1,2] => [5,6,3,1,2,4] => 00000 => [6]
[4,4,3,3,2,1] => [6,5,3,1,2,4] => 00000 => [6]
[1,2,3,3,4,5] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,3,3,5,4] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,3,4,3,5] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,3,4,5,3] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,3,5,3,4] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,2,3,5,4,3] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,2,4,3,3,5] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,2,4,3,5,3] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,2,4,5,3,3] => [1,2,5,3,4,6] => 11001 => [1,1,3,1]
[1,2,5,3,3,4] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,2,5,3,4,3] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,2,5,4,3,3] => [1,2,5,4,3,6] => 11001 => [1,1,3,1]
[1,3,2,3,4,5] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,2,3,5,4] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,2,4,3,5] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,2,4,5,3] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,2,5,3,4] => [1,3,2,5,4,6] => 10101 => [1,2,2,1]
[1,3,2,5,4,3] => [1,3,2,5,4,6] => 10101 => [1,2,2,1]
[1,3,3,2,4,5] => [1,4,2,3,5,6] => 10011 => [1,3,1,1]
[1,3,3,2,5,4] => [1,4,2,3,5,6] => 10011 => [1,3,1,1]
[1,3,3,4,2,5] => [1,5,2,3,4,6] => 10001 => [1,4,1]
[1,3,3,4,5,2] => [1,6,2,3,4,5] => 10000 => [1,5]
[1,3,3,5,2,4] => [1,5,2,3,4,6] => 10001 => [1,4,1]
[1,3,3,5,4,2] => [1,6,2,3,4,5] => 10000 => [1,5]
[1,3,4,2,3,5] => [1,4,2,3,5,6] => 10011 => [1,3,1,1]
[1,3,4,2,5,3] => [1,4,2,3,5,6] => 10011 => [1,3,1,1]
[1,3,4,3,2,5] => [1,5,2,3,4,6] => 10001 => [1,4,1]
[1,3,4,3,5,2] => [1,6,2,3,4,5] => 10000 => [1,5]
[1,3,4,5,2,3] => [1,5,2,3,4,6] => 10001 => [1,4,1]
[1,3,4,5,3,2] => [1,6,2,3,4,5] => 10000 => [1,5]
[1,3,5,2,3,4] => [1,4,2,5,3,6] => 10001 => [1,4,1]
[1,3,5,2,4,3] => [1,4,2,5,3,6] => 10001 => [1,4,1]
[1,3,5,3,2,4] => [1,5,2,4,3,6] => 10001 => [1,4,1]
[1,3,5,3,4,2] => [1,6,2,4,3,5] => 10000 => [1,5]
[1,3,5,4,2,3] => [1,5,2,4,3,6] => 10001 => [1,4,1]
[1,3,5,4,3,2] => [1,6,2,4,3,5] => 10000 => [1,5]
[1,4,2,3,3,5] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,2,3,5,3] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,2,5,3,3] => [1,3,5,2,4,6] => 10001 => [1,4,1]
[1,4,3,2,3,5] => [1,4,3,2,5,6] => 10011 => [1,3,1,1]
[1,4,3,2,5,3] => [1,4,3,2,5,6] => 10011 => [1,3,1,1]
[1,4,3,3,2,5] => [1,5,3,2,4,6] => 10001 => [1,4,1]
[1,4,3,3,5,2] => [1,6,3,2,4,5] => 10000 => [1,5]
[1,4,3,5,2,3] => [1,5,3,2,4,6] => 10001 => [1,4,1]
[1,4,3,5,3,2] => [1,6,3,2,4,5] => 10000 => [1,5]
[1,4,5,2,3,3] => [1,4,5,2,3,6] => 10001 => [1,4,1]
[1,4,5,3,2,3] => [1,5,4,2,3,6] => 10001 => [1,4,1]
[1,4,5,3,3,2] => [1,6,4,2,3,5] => 10000 => [1,5]
[1,5,2,3,3,4] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,2,3,4,3] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,2,4,3,3] => [1,3,5,4,2,6] => 10001 => [1,4,1]
[1,5,3,2,3,4] => [1,4,3,5,2,6] => 10001 => [1,4,1]
[1,5,3,2,4,3] => [1,4,3,5,2,6] => 10001 => [1,4,1]
[1,5,3,3,2,4] => [1,5,3,4,2,6] => 10001 => [1,4,1]
[1,5,3,3,4,2] => [1,6,3,4,2,5] => 10000 => [1,5]
[1,5,3,4,2,3] => [1,5,3,4,2,6] => 10001 => [1,4,1]
[1,5,3,4,3,2] => [1,6,3,4,2,5] => 10000 => [1,5]
[1,5,4,2,3,3] => [1,4,5,3,2,6] => 10001 => [1,4,1]
[1,5,4,3,2,3] => [1,5,4,3,2,6] => 10001 => [1,4,1]
[1,5,4,3,3,2] => [1,6,4,3,2,5] => 10000 => [1,5]
[2,1,3,3,4,5] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,3,3,5,4] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,3,4,3,5] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,3,4,5,3] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,3,5,3,4] => [2,1,3,5,4,6] => 01101 => [2,1,2,1]
[2,1,3,5,4,3] => [2,1,3,5,4,6] => 01101 => [2,1,2,1]
[2,1,4,3,3,5] => [2,1,4,3,5,6] => 01011 => [2,2,1,1]
[2,1,4,3,5,3] => [2,1,4,3,5,6] => 01011 => [2,2,1,1]
[2,1,4,5,3,3] => [2,1,5,3,4,6] => 01001 => [2,3,1]
[2,1,5,3,3,4] => [2,1,4,5,3,6] => 01001 => [2,3,1]
[2,1,5,3,4,3] => [2,1,4,5,3,6] => 01001 => [2,3,1]
[2,1,5,4,3,3] => [2,1,5,4,3,6] => 01001 => [2,3,1]
[2,3,1,3,4,5] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,3,1,3,5,4] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,3,1,4,3,5] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,3,1,4,5,3] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,3,1,5,3,4] => [3,1,2,5,4,6] => 00101 => [3,2,1]
[2,3,1,5,4,3] => [3,1,2,5,4,6] => 00101 => [3,2,1]
[2,3,3,1,4,5] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,3,3,1,5,4] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,3,3,4,1,5] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,3,3,4,5,1] => [6,1,2,3,4,5] => 00000 => [6]
[2,3,3,5,1,4] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,3,3,5,4,1] => [6,1,2,3,4,5] => 00000 => [6]
[2,3,4,1,3,5] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,3,4,1,5,3] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,3,4,3,1,5] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,3,4,3,5,1] => [6,1,2,3,4,5] => 00000 => [6]
[2,3,4,5,1,3] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,3,4,5,3,1] => [6,1,2,3,4,5] => 00000 => [6]
[2,3,5,1,3,4] => [4,1,2,5,3,6] => 00001 => [5,1]
[2,3,5,1,4,3] => [4,1,2,5,3,6] => 00001 => [5,1]
[2,3,5,3,1,4] => [5,1,2,4,3,6] => 00001 => [5,1]
[2,3,5,3,4,1] => [6,1,2,4,3,5] => 00000 => [6]
[2,3,5,4,1,3] => [5,1,2,4,3,6] => 00001 => [5,1]
[2,3,5,4,3,1] => [6,1,2,4,3,5] => 00000 => [6]
[2,4,1,3,3,5] => [3,1,4,2,5,6] => 00011 => [4,1,1]
[2,4,1,3,5,3] => [3,1,4,2,5,6] => 00011 => [4,1,1]
[2,4,1,5,3,3] => [3,1,5,2,4,6] => 00001 => [5,1]
[2,4,3,1,3,5] => [4,1,3,2,5,6] => 00011 => [4,1,1]
[2,4,3,1,5,3] => [4,1,3,2,5,6] => 00011 => [4,1,1]
[2,4,3,3,1,5] => [5,1,3,2,4,6] => 00001 => [5,1]
[2,4,3,3,5,1] => [6,1,3,2,4,5] => 00000 => [6]
[2,4,3,5,1,3] => [5,1,3,2,4,6] => 00001 => [5,1]
[2,4,3,5,3,1] => [6,1,3,2,4,5] => 00000 => [6]
[2,4,5,1,3,3] => [4,1,5,2,3,6] => 00001 => [5,1]
[2,4,5,3,1,3] => [5,1,4,2,3,6] => 00001 => [5,1]
[2,4,5,3,3,1] => [6,1,4,2,3,5] => 00000 => [6]
[2,5,1,3,3,4] => [3,1,4,5,2,6] => 00001 => [5,1]
[2,5,1,3,4,3] => [3,1,4,5,2,6] => 00001 => [5,1]
[2,5,1,4,3,3] => [3,1,5,4,2,6] => 00001 => [5,1]
[2,5,3,1,3,4] => [4,1,3,5,2,6] => 00001 => [5,1]
[2,5,3,1,4,3] => [4,1,3,5,2,6] => 00001 => [5,1]
[2,5,3,3,1,4] => [5,1,3,4,2,6] => 00001 => [5,1]
[2,5,3,3,4,1] => [6,1,3,4,2,5] => 00000 => [6]
[2,5,3,4,1,3] => [5,1,3,4,2,6] => 00001 => [5,1]
[2,5,3,4,3,1] => [6,1,3,4,2,5] => 00000 => [6]
[2,5,4,1,3,3] => [4,1,5,3,2,6] => 00001 => [5,1]
[2,5,4,3,1,3] => [5,1,4,3,2,6] => 00001 => [5,1]
[2,5,4,3,3,1] => [6,1,4,3,2,5] => 00000 => [6]
[3,1,2,3,4,5] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,2,3,5,4] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,2,4,3,5] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,2,4,5,3] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,2,5,3,4] => [2,3,1,5,4,6] => 00101 => [3,2,1]
[3,1,2,5,4,3] => [2,3,1,5,4,6] => 00101 => [3,2,1]
[3,1,3,2,4,5] => [2,4,1,3,5,6] => 00011 => [4,1,1]
[3,1,3,2,5,4] => [2,4,1,3,5,6] => 00011 => [4,1,1]
[3,1,3,4,2,5] => [2,5,1,3,4,6] => 00001 => [5,1]
[3,1,3,4,5,2] => [2,6,1,3,4,5] => 00000 => [6]
[3,1,3,5,2,4] => [2,5,1,3,4,6] => 00001 => [5,1]
[3,1,3,5,4,2] => [2,6,1,3,4,5] => 00000 => [6]
[3,1,4,2,3,5] => [2,4,1,3,5,6] => 00011 => [4,1,1]
[3,1,4,2,5,3] => [2,4,1,3,5,6] => 00011 => [4,1,1]
[3,1,4,3,2,5] => [2,5,1,3,4,6] => 00001 => [5,1]
[3,1,4,3,5,2] => [2,6,1,3,4,5] => 00000 => [6]
[3,1,4,5,2,3] => [2,5,1,3,4,6] => 00001 => [5,1]
[3,1,4,5,3,2] => [2,6,1,3,4,5] => 00000 => [6]
[3,1,5,2,3,4] => [2,4,1,5,3,6] => 00001 => [5,1]
[3,1,5,2,4,3] => [2,4,1,5,3,6] => 00001 => [5,1]
[3,1,5,3,2,4] => [2,5,1,4,3,6] => 00001 => [5,1]
[3,1,5,3,4,2] => [2,6,1,4,3,5] => 00000 => [6]
[3,1,5,4,2,3] => [2,5,1,4,3,6] => 00001 => [5,1]
[3,1,5,4,3,2] => [2,6,1,4,3,5] => 00000 => [6]
[3,2,1,3,4,5] => [3,2,1,4,5,6] => 00111 => [3,1,1,1]
[3,2,1,3,5,4] => [3,2,1,4,5,6] => 00111 => [3,1,1,1]
[3,2,1,4,3,5] => [3,2,1,4,5,6] => 00111 => [3,1,1,1]
[3,2,1,4,5,3] => [3,2,1,4,5,6] => 00111 => [3,1,1,1]
[3,2,1,5,3,4] => [3,2,1,5,4,6] => 00101 => [3,2,1]
[3,2,1,5,4,3] => [3,2,1,5,4,6] => 00101 => [3,2,1]
[3,2,3,1,4,5] => [4,2,1,3,5,6] => 00011 => [4,1,1]
[3,2,3,1,5,4] => [4,2,1,3,5,6] => 00011 => [4,1,1]
[3,2,3,4,1,5] => [5,2,1,3,4,6] => 00001 => [5,1]
[3,2,3,4,5,1] => [6,2,1,3,4,5] => 00000 => [6]
[3,2,3,5,1,4] => [5,2,1,3,4,6] => 00001 => [5,1]
[3,2,3,5,4,1] => [6,2,1,3,4,5] => 00000 => [6]
[3,2,4,1,3,5] => [4,2,1,3,5,6] => 00011 => [4,1,1]
[3,2,4,1,5,3] => [4,2,1,3,5,6] => 00011 => [4,1,1]
[3,2,4,3,1,5] => [5,2,1,3,4,6] => 00001 => [5,1]
[3,2,4,3,5,1] => [6,2,1,3,4,5] => 00000 => [6]
[3,2,4,5,1,3] => [5,2,1,3,4,6] => 00001 => [5,1]
[3,2,4,5,3,1] => [6,2,1,3,4,5] => 00000 => [6]
[3,2,5,1,3,4] => [4,2,1,5,3,6] => 00001 => [5,1]
[3,2,5,1,4,3] => [4,2,1,5,3,6] => 00001 => [5,1]
[3,2,5,3,1,4] => [5,2,1,4,3,6] => 00001 => [5,1]
[3,2,5,3,4,1] => [6,2,1,4,3,5] => 00000 => [6]
[3,2,5,4,1,3] => [5,2,1,4,3,6] => 00001 => [5,1]
[3,2,5,4,3,1] => [6,2,1,4,3,5] => 00000 => [6]
[3,3,1,2,4,5] => [3,4,1,2,5,6] => 00011 => [4,1,1]
[3,3,1,2,5,4] => [3,4,1,2,5,6] => 00011 => [4,1,1]
[3,3,1,4,2,5] => [3,5,1,2,4,6] => 00001 => [5,1]
[3,3,1,4,5,2] => [3,6,1,2,4,5] => 00000 => [6]
[3,3,1,5,2,4] => [3,5,1,2,4,6] => 00001 => [5,1]
[3,3,1,5,4,2] => [3,6,1,2,4,5] => 00000 => [6]
[3,3,2,1,4,5] => [4,3,1,2,5,6] => 00011 => [4,1,1]
[3,3,2,1,5,4] => [4,3,1,2,5,6] => 00011 => [4,1,1]
[3,3,2,4,1,5] => [5,3,1,2,4,6] => 00001 => [5,1]
[3,3,2,4,5,1] => [6,3,1,2,4,5] => 00000 => [6]
[3,3,2,5,1,4] => [5,3,1,2,4,6] => 00001 => [5,1]
[3,3,2,5,4,1] => [6,3,1,2,4,5] => 00000 => [6]
[3,3,4,1,2,5] => [4,5,1,2,3,6] => 00001 => [5,1]
[3,3,4,1,5,2] => [4,6,1,2,3,5] => 00000 => [6]
[3,3,4,2,1,5] => [5,4,1,2,3,6] => 00001 => [5,1]
[3,3,4,2,5,1] => [6,4,1,2,3,5] => 00000 => [6]
[3,3,4,5,1,2] => [5,6,1,2,3,4] => 00000 => [6]
[3,3,4,5,2,1] => [6,5,1,2,3,4] => 00000 => [6]
[3,3,5,1,2,4] => [4,5,1,2,3,6] => 00001 => [5,1]
[3,3,5,1,4,2] => [4,6,1,2,3,5] => 00000 => [6]
[3,3,5,2,1,4] => [5,4,1,2,3,6] => 00001 => [5,1]
[3,3,5,2,4,1] => [6,4,1,2,3,5] => 00000 => [6]
[3,3,5,4,1,2] => [5,6,1,2,3,4] => 00000 => [6]
[3,3,5,4,2,1] => [6,5,1,2,3,4] => 00000 => [6]
[3,4,1,2,3,5] => [3,4,1,2,5,6] => 00011 => [4,1,1]
[3,4,1,2,5,3] => [3,4,1,2,5,6] => 00011 => [4,1,1]
[3,4,1,3,2,5] => [3,5,1,2,4,6] => 00001 => [5,1]
[3,4,1,3,5,2] => [3,6,1,2,4,5] => 00000 => [6]
[3,4,1,5,2,3] => [3,5,1,2,4,6] => 00001 => [5,1]
[3,4,1,5,3,2] => [3,6,1,2,4,5] => 00000 => [6]
[3,4,2,1,3,5] => [4,3,1,2,5,6] => 00011 => [4,1,1]
[3,4,2,1,5,3] => [4,3,1,2,5,6] => 00011 => [4,1,1]
[3,4,2,3,1,5] => [5,3,1,2,4,6] => 00001 => [5,1]
[3,4,2,3,5,1] => [6,3,1,2,4,5] => 00000 => [6]
[3,4,2,5,1,3] => [5,3,1,2,4,6] => 00001 => [5,1]
[3,4,2,5,3,1] => [6,3,1,2,4,5] => 00000 => [6]
[3,4,3,1,2,5] => [4,5,1,2,3,6] => 00001 => [5,1]
[3,4,3,1,5,2] => [4,6,1,2,3,5] => 00000 => [6]
[3,4,3,2,1,5] => [5,4,1,2,3,6] => 00001 => [5,1]
[3,4,3,2,5,1] => [6,4,1,2,3,5] => 00000 => [6]
[3,4,3,5,1,2] => [5,6,1,2,3,4] => 00000 => [6]
[3,4,3,5,2,1] => [6,5,1,2,3,4] => 00000 => [6]
[3,4,5,1,2,3] => [4,5,1,2,3,6] => 00001 => [5,1]
[3,4,5,1,3,2] => [4,6,1,2,3,5] => 00000 => [6]
[3,4,5,2,1,3] => [5,4,1,2,3,6] => 00001 => [5,1]
[3,4,5,2,3,1] => [6,4,1,2,3,5] => 00000 => [6]
[3,4,5,3,1,2] => [5,6,1,2,3,4] => 00000 => [6]
[3,4,5,3,2,1] => [6,5,1,2,3,4] => 00000 => [6]
[3,5,1,2,3,4] => [3,4,1,5,2,6] => 00001 => [5,1]
[3,5,1,2,4,3] => [3,4,1,5,2,6] => 00001 => [5,1]
[3,5,1,3,2,4] => [3,5,1,4,2,6] => 00001 => [5,1]
[3,5,1,3,4,2] => [3,6,1,4,2,5] => 00000 => [6]
[3,5,1,4,2,3] => [3,5,1,4,2,6] => 00001 => [5,1]
[3,5,1,4,3,2] => [3,6,1,4,2,5] => 00000 => [6]
[3,5,2,1,3,4] => [4,3,1,5,2,6] => 00001 => [5,1]
[3,5,2,1,4,3] => [4,3,1,5,2,6] => 00001 => [5,1]
[3,5,2,3,1,4] => [5,3,1,4,2,6] => 00001 => [5,1]
[3,5,2,3,4,1] => [6,3,1,4,2,5] => 00000 => [6]
[3,5,2,4,1,3] => [5,3,1,4,2,6] => 00001 => [5,1]
[3,5,2,4,3,1] => [6,3,1,4,2,5] => 00000 => [6]
[3,5,3,1,2,4] => [4,5,1,3,2,6] => 00001 => [5,1]
[3,5,3,1,4,2] => [4,6,1,3,2,5] => 00000 => [6]
[3,5,3,2,1,4] => [5,4,1,3,2,6] => 00001 => [5,1]
[3,5,3,2,4,1] => [6,4,1,3,2,5] => 00000 => [6]
[3,5,3,4,1,2] => [5,6,1,3,2,4] => 00000 => [6]
[3,5,3,4,2,1] => [6,5,1,3,2,4] => 00000 => [6]
[3,5,4,1,2,3] => [4,5,1,3,2,6] => 00001 => [5,1]
[3,5,4,1,3,2] => [4,6,1,3,2,5] => 00000 => [6]
[3,5,4,2,1,3] => [5,4,1,3,2,6] => 00001 => [5,1]
[3,5,4,2,3,1] => [6,4,1,3,2,5] => 00000 => [6]
[3,5,4,3,1,2] => [5,6,1,3,2,4] => 00000 => [6]
[3,5,4,3,2,1] => [6,5,1,3,2,4] => 00000 => [6]
[4,1,2,3,3,5] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,2,3,5,3] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,2,5,3,3] => [2,3,5,1,4,6] => 00001 => [5,1]
[4,1,3,2,3,5] => [2,4,3,1,5,6] => 00011 => [4,1,1]
[4,1,3,2,5,3] => [2,4,3,1,5,6] => 00011 => [4,1,1]
[4,1,3,3,2,5] => [2,5,3,1,4,6] => 00001 => [5,1]
[4,1,3,3,5,2] => [2,6,3,1,4,5] => 00000 => [6]
[4,1,3,5,2,3] => [2,5,3,1,4,6] => 00001 => [5,1]
[4,1,3,5,3,2] => [2,6,3,1,4,5] => 00000 => [6]
[4,1,5,2,3,3] => [2,4,5,1,3,6] => 00001 => [5,1]
[4,1,5,3,2,3] => [2,5,4,1,3,6] => 00001 => [5,1]
[4,1,5,3,3,2] => [2,6,4,1,3,5] => 00000 => [6]
[4,2,1,3,3,5] => [3,2,4,1,5,6] => 00011 => [4,1,1]
[4,2,1,3,5,3] => [3,2,4,1,5,6] => 00011 => [4,1,1]
[4,2,1,5,3,3] => [3,2,5,1,4,6] => 00001 => [5,1]
[4,2,3,1,3,5] => [4,2,3,1,5,6] => 00011 => [4,1,1]
[4,2,3,1,5,3] => [4,2,3,1,5,6] => 00011 => [4,1,1]
[4,2,3,3,1,5] => [5,2,3,1,4,6] => 00001 => [5,1]
[4,2,3,3,5,1] => [6,2,3,1,4,5] => 00000 => [6]
[4,2,3,5,1,3] => [5,2,3,1,4,6] => 00001 => [5,1]
[4,2,3,5,3,1] => [6,2,3,1,4,5] => 00000 => [6]
[4,2,5,1,3,3] => [4,2,5,1,3,6] => 00001 => [5,1]
[4,2,5,3,1,3] => [5,2,4,1,3,6] => 00001 => [5,1]
[4,2,5,3,3,1] => [6,2,4,1,3,5] => 00000 => [6]
[4,3,1,2,3,5] => [3,4,2,1,5,6] => 00011 => [4,1,1]
[4,3,1,2,5,3] => [3,4,2,1,5,6] => 00011 => [4,1,1]
[4,3,1,3,2,5] => [3,5,2,1,4,6] => 00001 => [5,1]
[4,3,1,3,5,2] => [3,6,2,1,4,5] => 00000 => [6]
[4,3,1,5,2,3] => [3,5,2,1,4,6] => 00001 => [5,1]
[4,3,1,5,3,2] => [3,6,2,1,4,5] => 00000 => [6]
[4,3,2,1,3,5] => [4,3,2,1,5,6] => 00011 => [4,1,1]
[4,3,2,1,5,3] => [4,3,2,1,5,6] => 00011 => [4,1,1]
[4,3,2,3,1,5] => [5,3,2,1,4,6] => 00001 => [5,1]
[4,3,2,3,5,1] => [6,3,2,1,4,5] => 00000 => [6]
[4,3,2,5,1,3] => [5,3,2,1,4,6] => 00001 => [5,1]
[4,3,2,5,3,1] => [6,3,2,1,4,5] => 00000 => [6]
[4,3,3,1,2,5] => [4,5,2,1,3,6] => 00001 => [5,1]
[4,3,3,1,5,2] => [4,6,2,1,3,5] => 00000 => [6]
[4,3,3,2,1,5] => [5,4,2,1,3,6] => 00001 => [5,1]
[4,3,3,2,5,1] => [6,4,2,1,3,5] => 00000 => [6]
[4,3,3,5,1,2] => [5,6,2,1,3,4] => 00000 => [6]
[4,3,3,5,2,1] => [6,5,2,1,3,4] => 00000 => [6]
[4,3,5,1,2,3] => [4,5,2,1,3,6] => 00001 => [5,1]
[4,3,5,1,3,2] => [4,6,2,1,3,5] => 00000 => [6]
[4,3,5,2,1,3] => [5,4,2,1,3,6] => 00001 => [5,1]
[4,3,5,2,3,1] => [6,4,2,1,3,5] => 00000 => [6]
[4,3,5,3,1,2] => [5,6,2,1,3,4] => 00000 => [6]
[4,3,5,3,2,1] => [6,5,2,1,3,4] => 00000 => [6]
[4,5,1,2,3,3] => [3,4,5,1,2,6] => 00001 => [5,1]
[4,5,1,3,2,3] => [3,5,4,1,2,6] => 00001 => [5,1]
[4,5,1,3,3,2] => [3,6,4,1,2,5] => 00000 => [6]
[4,5,2,1,3,3] => [4,3,5,1,2,6] => 00001 => [5,1]
[4,5,2,3,1,3] => [5,3,4,1,2,6] => 00001 => [5,1]
[4,5,2,3,3,1] => [6,3,4,1,2,5] => 00000 => [6]
[4,5,3,1,2,3] => [4,5,3,1,2,6] => 00001 => [5,1]
[4,5,3,1,3,2] => [4,6,3,1,2,5] => 00000 => [6]
[4,5,3,2,1,3] => [5,4,3,1,2,6] => 00001 => [5,1]
[4,5,3,2,3,1] => [6,4,3,1,2,5] => 00000 => [6]
[4,5,3,3,1,2] => [5,6,3,1,2,4] => 00000 => [6]
[4,5,3,3,2,1] => [6,5,3,1,2,4] => 00000 => [6]
[5,1,2,3,3,4] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,2,3,4,3] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,2,4,3,3] => [2,3,5,4,1,6] => 00001 => [5,1]
[5,1,3,2,3,4] => [2,4,3,5,1,6] => 00001 => [5,1]
[5,1,3,2,4,3] => [2,4,3,5,1,6] => 00001 => [5,1]
[5,1,3,3,2,4] => [2,5,3,4,1,6] => 00001 => [5,1]
[5,1,3,3,4,2] => [2,6,3,4,1,5] => 00000 => [6]
[5,1,3,4,2,3] => [2,5,3,4,1,6] => 00001 => [5,1]
[5,1,3,4,3,2] => [2,6,3,4,1,5] => 00000 => [6]
[5,1,4,2,3,3] => [2,4,5,3,1,6] => 00001 => [5,1]
[5,1,4,3,2,3] => [2,5,4,3,1,6] => 00001 => [5,1]
[5,1,4,3,3,2] => [2,6,4,3,1,5] => 00000 => [6]
[5,2,1,3,3,4] => [3,2,4,5,1,6] => 00001 => [5,1]
[5,2,1,3,4,3] => [3,2,4,5,1,6] => 00001 => [5,1]
[5,2,1,4,3,3] => [3,2,5,4,1,6] => 00001 => [5,1]
[5,2,3,1,3,4] => [4,2,3,5,1,6] => 00001 => [5,1]
[5,2,3,1,4,3] => [4,2,3,5,1,6] => 00001 => [5,1]
[5,2,3,3,1,4] => [5,2,3,4,1,6] => 00001 => [5,1]
[5,2,3,3,4,1] => [6,2,3,4,1,5] => 00000 => [6]
[5,2,3,4,1,3] => [5,2,3,4,1,6] => 00001 => [5,1]
[5,2,3,4,3,1] => [6,2,3,4,1,5] => 00000 => [6]
[5,2,4,1,3,3] => [4,2,5,3,1,6] => 00001 => [5,1]
[5,2,4,3,1,3] => [5,2,4,3,1,6] => 00001 => [5,1]
[5,2,4,3,3,1] => [6,2,4,3,1,5] => 00000 => [6]
[5,3,1,2,3,4] => [3,4,2,5,1,6] => 00001 => [5,1]
[5,3,1,2,4,3] => [3,4,2,5,1,6] => 00001 => [5,1]
[5,3,1,3,2,4] => [3,5,2,4,1,6] => 00001 => [5,1]
[5,3,1,3,4,2] => [3,6,2,4,1,5] => 00000 => [6]
[5,3,1,4,2,3] => [3,5,2,4,1,6] => 00001 => [5,1]
[5,3,1,4,3,2] => [3,6,2,4,1,5] => 00000 => [6]
[5,3,2,1,3,4] => [4,3,2,5,1,6] => 00001 => [5,1]
[5,3,2,1,4,3] => [4,3,2,5,1,6] => 00001 => [5,1]
[5,3,2,3,1,4] => [5,3,2,4,1,6] => 00001 => [5,1]
[5,3,2,3,4,1] => [6,3,2,4,1,5] => 00000 => [6]
[5,3,2,4,1,3] => [5,3,2,4,1,6] => 00001 => [5,1]
[5,3,2,4,3,1] => [6,3,2,4,1,5] => 00000 => [6]
[5,3,3,1,2,4] => [4,5,2,3,1,6] => 00001 => [5,1]
[5,3,3,1,4,2] => [4,6,2,3,1,5] => 00000 => [6]
[5,3,3,2,1,4] => [5,4,2,3,1,6] => 00001 => [5,1]
[5,3,3,2,4,1] => [6,4,2,3,1,5] => 00000 => [6]
[5,3,3,4,1,2] => [5,6,2,3,1,4] => 00000 => [6]
[5,3,3,4,2,1] => [6,5,2,3,1,4] => 00000 => [6]
[5,3,4,1,2,3] => [4,5,2,3,1,6] => 00001 => [5,1]
[5,3,4,1,3,2] => [4,6,2,3,1,5] => 00000 => [6]
[5,3,4,2,1,3] => [5,4,2,3,1,6] => 00001 => [5,1]
[5,3,4,2,3,1] => [6,4,2,3,1,5] => 00000 => [6]
[5,3,4,3,1,2] => [5,6,2,3,1,4] => 00000 => [6]
[5,3,4,3,2,1] => [6,5,2,3,1,4] => 00000 => [6]
[5,4,1,2,3,3] => [3,4,5,2,1,6] => 00001 => [5,1]
[5,4,1,3,2,3] => [3,5,4,2,1,6] => 00001 => [5,1]
[5,4,1,3,3,2] => [3,6,4,2,1,5] => 00000 => [6]
[5,4,2,1,3,3] => [4,3,5,2,1,6] => 00001 => [5,1]
[5,4,2,3,1,3] => [5,3,4,2,1,6] => 00001 => [5,1]
[5,4,2,3,3,1] => [6,3,4,2,1,5] => 00000 => [6]
[5,4,3,1,2,3] => [4,5,3,2,1,6] => 00001 => [5,1]
[5,4,3,1,3,2] => [4,6,3,2,1,5] => 00000 => [6]
[5,4,3,2,1,3] => [5,4,3,2,1,6] => 00001 => [5,1]
[5,4,3,2,3,1] => [6,4,3,2,1,5] => 00000 => [6]
[5,4,3,3,1,2] => [5,6,3,2,1,4] => 00000 => [6]
[5,4,3,3,2,1] => [6,5,3,2,1,4] => 00000 => [6]
[1,2,3,3,4,6] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,3,3,6,4] => [1,2,3,4,6,5] => 11110 => [1,1,1,1,2]
[1,2,3,4,3,6] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,3,4,6,3] => [1,2,3,4,6,5] => 11110 => [1,1,1,1,2]
[1,2,3,6,3,4] => [1,2,3,5,6,4] => 11100 => [1,1,1,3]
[1,2,3,6,4,3] => [1,2,3,5,6,4] => 11100 => [1,1,1,3]
[1,2,4,3,3,6] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,2,4,3,6,3] => [1,2,4,3,6,5] => 11010 => [1,1,2,2]
[1,2,4,6,3,3] => [1,2,5,3,6,4] => 11000 => [1,1,4]
[1,2,6,3,3,4] => [1,2,4,5,6,3] => 11000 => [1,1,4]
[1,2,6,3,4,3] => [1,2,4,5,6,3] => 11000 => [1,1,4]
[1,2,6,4,3,3] => [1,2,5,4,6,3] => 11000 => [1,1,4]
[1,3,2,3,4,6] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,2,3,6,4] => [1,3,2,4,6,5] => 10110 => [1,2,1,2]
[1,3,2,4,3,6] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,2,4,6,3] => [1,3,2,4,6,5] => 10110 => [1,2,1,2]
[1,3,2,6,3,4] => [1,3,2,5,6,4] => 10100 => [1,2,3]
[1,3,2,6,4,3] => [1,3,2,5,6,4] => 10100 => [1,2,3]
[1,3,3,2,4,6] => [1,4,2,3,5,6] => 10011 => [1,3,1,1]
[1,3,3,2,6,4] => [1,4,2,3,6,5] => 10010 => [1,3,2]
[1,3,3,4,2,6] => [1,5,2,3,4,6] => 10001 => [1,4,1]
[1,3,3,4,6,2] => [1,6,2,3,4,5] => 10000 => [1,5]
[1,3,3,6,2,4] => [1,5,2,3,6,4] => 10000 => [1,5]
[1,3,3,6,4,2] => [1,6,2,3,5,4] => 10000 => [1,5]
[1,3,4,2,3,6] => [1,4,2,3,5,6] => 10011 => [1,3,1,1]
[1,3,4,2,6,3] => [1,4,2,3,6,5] => 10010 => [1,3,2]
[1,3,4,3,2,6] => [1,5,2,3,4,6] => 10001 => [1,4,1]
[1,3,4,3,6,2] => [1,6,2,3,4,5] => 10000 => [1,5]
[1,3,4,6,2,3] => [1,5,2,3,6,4] => 10000 => [1,5]
[1,3,4,6,3,2] => [1,6,2,3,5,4] => 10000 => [1,5]
[1,3,6,2,3,4] => [1,4,2,5,6,3] => 10000 => [1,5]
[1,3,6,2,4,3] => [1,4,2,5,6,3] => 10000 => [1,5]
[1,3,6,3,2,4] => [1,5,2,4,6,3] => 10000 => [1,5]
[1,3,6,3,4,2] => [1,6,2,4,5,3] => 10000 => [1,5]
[1,3,6,4,2,3] => [1,5,2,4,6,3] => 10000 => [1,5]
[1,3,6,4,3,2] => [1,6,2,4,5,3] => 10000 => [1,5]
[1,4,2,3,3,6] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,2,3,6,3] => [1,3,4,2,6,5] => 10010 => [1,3,2]
[1,4,2,6,3,3] => [1,3,5,2,6,4] => 10000 => [1,5]
[1,4,3,2,3,6] => [1,4,3,2,5,6] => 10011 => [1,3,1,1]
[1,4,3,2,6,3] => [1,4,3,2,6,5] => 10010 => [1,3,2]
[1,4,3,3,2,6] => [1,5,3,2,4,6] => 10001 => [1,4,1]
[1,4,3,3,6,2] => [1,6,3,2,4,5] => 10000 => [1,5]
[1,4,3,6,2,3] => [1,5,3,2,6,4] => 10000 => [1,5]
[1,4,3,6,3,2] => [1,6,3,2,5,4] => 10000 => [1,5]
[1,4,6,2,3,3] => [1,4,5,2,6,3] => 10000 => [1,5]
[1,4,6,3,2,3] => [1,5,4,2,6,3] => 10000 => [1,5]
[1,4,6,3,3,2] => [1,6,4,2,5,3] => 10000 => [1,5]
[1,6,2,3,3,4] => [1,3,4,5,6,2] => 10000 => [1,5]
[1,6,2,3,4,3] => [1,3,4,5,6,2] => 10000 => [1,5]
[1,6,2,4,3,3] => [1,3,5,4,6,2] => 10000 => [1,5]
[1,6,3,2,3,4] => [1,4,3,5,6,2] => 10000 => [1,5]
[1,6,3,2,4,3] => [1,4,3,5,6,2] => 10000 => [1,5]
[1,6,3,3,2,4] => [1,5,3,4,6,2] => 10000 => [1,5]
[1,6,3,3,4,2] => [1,6,3,4,5,2] => 10000 => [1,5]
[1,6,3,4,2,3] => [1,5,3,4,6,2] => 10000 => [1,5]
[1,6,3,4,3,2] => [1,6,3,4,5,2] => 10000 => [1,5]
[1,6,4,2,3,3] => [1,4,5,3,6,2] => 10000 => [1,5]
[1,6,4,3,2,3] => [1,5,4,3,6,2] => 10000 => [1,5]
[1,6,4,3,3,2] => [1,6,4,3,5,2] => 10000 => [1,5]
[2,1,3,3,4,6] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,3,3,6,4] => [2,1,3,4,6,5] => 01110 => [2,1,1,2]
[2,1,3,4,3,6] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,3,4,6,3] => [2,1,3,4,6,5] => 01110 => [2,1,1,2]
[2,1,3,6,3,4] => [2,1,3,5,6,4] => 01100 => [2,1,3]
[2,1,3,6,4,3] => [2,1,3,5,6,4] => 01100 => [2,1,3]
[2,1,4,3,3,6] => [2,1,4,3,5,6] => 01011 => [2,2,1,1]
[2,1,4,3,6,3] => [2,1,4,3,6,5] => 01010 => [2,2,2]
[2,1,4,6,3,3] => [2,1,5,3,6,4] => 01000 => [2,4]
[2,1,6,3,3,4] => [2,1,4,5,6,3] => 01000 => [2,4]
[2,1,6,3,4,3] => [2,1,4,5,6,3] => 01000 => [2,4]
[2,1,6,4,3,3] => [2,1,5,4,6,3] => 01000 => [2,4]
[2,3,1,3,4,6] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,3,1,3,6,4] => [3,1,2,4,6,5] => 00110 => [3,1,2]
[2,3,1,4,3,6] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,3,1,4,6,3] => [3,1,2,4,6,5] => 00110 => [3,1,2]
[2,3,1,6,3,4] => [3,1,2,5,6,4] => 00100 => [3,3]
[2,3,1,6,4,3] => [3,1,2,5,6,4] => 00100 => [3,3]
[2,3,3,1,4,6] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,3,3,1,6,4] => [4,1,2,3,6,5] => 00010 => [4,2]
[2,3,3,4,1,6] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,3,3,4,6,1] => [6,1,2,3,4,5] => 00000 => [6]
[2,3,3,6,1,4] => [5,1,2,3,6,4] => 00000 => [6]
[2,3,3,6,4,1] => [6,1,2,3,5,4] => 00000 => [6]
[2,3,4,1,3,6] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,3,4,1,6,3] => [4,1,2,3,6,5] => 00010 => [4,2]
[2,3,4,3,1,6] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,3,4,3,6,1] => [6,1,2,3,4,5] => 00000 => [6]
[2,3,4,6,1,3] => [5,1,2,3,6,4] => 00000 => [6]
[2,3,4,6,3,1] => [6,1,2,3,5,4] => 00000 => [6]
[2,3,6,1,3,4] => [4,1,2,5,6,3] => 00000 => [6]
[2,3,6,1,4,3] => [4,1,2,5,6,3] => 00000 => [6]
[2,3,6,3,1,4] => [5,1,2,4,6,3] => 00000 => [6]
[2,3,6,3,4,1] => [6,1,2,4,5,3] => 00000 => [6]
[2,3,6,4,1,3] => [5,1,2,4,6,3] => 00000 => [6]
[2,3,6,4,3,1] => [6,1,2,4,5,3] => 00000 => [6]
[2,4,1,3,3,6] => [3,1,4,2,5,6] => 00011 => [4,1,1]
[2,4,1,3,6,3] => [3,1,4,2,6,5] => 00010 => [4,2]
[2,4,1,6,3,3] => [3,1,5,2,6,4] => 00000 => [6]
[2,4,3,1,3,6] => [4,1,3,2,5,6] => 00011 => [4,1,1]
[2,4,3,1,6,3] => [4,1,3,2,6,5] => 00010 => [4,2]
[2,4,3,3,1,6] => [5,1,3,2,4,6] => 00001 => [5,1]
[2,4,3,3,6,1] => [6,1,3,2,4,5] => 00000 => [6]
[2,4,3,6,1,3] => [5,1,3,2,6,4] => 00000 => [6]
[2,4,3,6,3,1] => [6,1,3,2,5,4] => 00000 => [6]
[2,4,6,1,3,3] => [4,1,5,2,6,3] => 00000 => [6]
[2,4,6,3,1,3] => [5,1,4,2,6,3] => 00000 => [6]
[2,4,6,3,3,1] => [6,1,4,2,5,3] => 00000 => [6]
[2,6,1,3,3,4] => [3,1,4,5,6,2] => 00000 => [6]
[2,6,1,3,4,3] => [3,1,4,5,6,2] => 00000 => [6]
[2,6,1,4,3,3] => [3,1,5,4,6,2] => 00000 => [6]
[2,6,3,1,3,4] => [4,1,3,5,6,2] => 00000 => [6]
[2,6,3,1,4,3] => [4,1,3,5,6,2] => 00000 => [6]
[2,6,3,3,1,4] => [5,1,3,4,6,2] => 00000 => [6]
[2,6,3,3,4,1] => [6,1,3,4,5,2] => 00000 => [6]
[2,6,3,4,1,3] => [5,1,3,4,6,2] => 00000 => [6]
[2,6,3,4,3,1] => [6,1,3,4,5,2] => 00000 => [6]
[2,6,4,1,3,3] => [4,1,5,3,6,2] => 00000 => [6]
[2,6,4,3,1,3] => [5,1,4,3,6,2] => 00000 => [6]
[2,6,4,3,3,1] => [6,1,4,3,5,2] => 00000 => [6]
[3,1,2,3,4,6] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,2,3,6,4] => [2,3,1,4,6,5] => 00110 => [3,1,2]
[3,1,2,4,3,6] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,2,4,6,3] => [2,3,1,4,6,5] => 00110 => [3,1,2]
[3,1,2,6,3,4] => [2,3,1,5,6,4] => 00100 => [3,3]
[3,1,2,6,4,3] => [2,3,1,5,6,4] => 00100 => [3,3]
[3,1,3,2,4,6] => [2,4,1,3,5,6] => 00011 => [4,1,1]
[3,1,3,2,6,4] => [2,4,1,3,6,5] => 00010 => [4,2]
[3,1,3,4,2,6] => [2,5,1,3,4,6] => 00001 => [5,1]
[3,1,3,4,6,2] => [2,6,1,3,4,5] => 00000 => [6]
[3,1,3,6,2,4] => [2,5,1,3,6,4] => 00000 => [6]
[3,1,3,6,4,2] => [2,6,1,3,5,4] => 00000 => [6]
[3,1,4,2,3,6] => [2,4,1,3,5,6] => 00011 => [4,1,1]
[3,1,4,2,6,3] => [2,4,1,3,6,5] => 00010 => [4,2]
[3,1,4,3,2,6] => [2,5,1,3,4,6] => 00001 => [5,1]
[3,1,4,3,6,2] => [2,6,1,3,4,5] => 00000 => [6]
[3,1,4,6,2,3] => [2,5,1,3,6,4] => 00000 => [6]
[3,1,4,6,3,2] => [2,6,1,3,5,4] => 00000 => [6]
[3,1,6,2,3,4] => [2,4,1,5,6,3] => 00000 => [6]
[3,1,6,2,4,3] => [2,4,1,5,6,3] => 00000 => [6]
[3,1,6,3,2,4] => [2,5,1,4,6,3] => 00000 => [6]
[3,1,6,3,4,2] => [2,6,1,4,5,3] => 00000 => [6]
[3,1,6,4,2,3] => [2,5,1,4,6,3] => 00000 => [6]
[3,1,6,4,3,2] => [2,6,1,4,5,3] => 00000 => [6]
[3,2,1,3,4,6] => [3,2,1,4,5,6] => 00111 => [3,1,1,1]
[3,2,1,3,6,4] => [3,2,1,4,6,5] => 00110 => [3,1,2]
[3,2,1,4,3,6] => [3,2,1,4,5,6] => 00111 => [3,1,1,1]
[3,2,1,4,6,3] => [3,2,1,4,6,5] => 00110 => [3,1,2]
[3,2,1,6,3,4] => [3,2,1,5,6,4] => 00100 => [3,3]
[3,2,1,6,4,3] => [3,2,1,5,6,4] => 00100 => [3,3]
[3,2,3,1,4,6] => [4,2,1,3,5,6] => 00011 => [4,1,1]
[3,2,3,1,6,4] => [4,2,1,3,6,5] => 00010 => [4,2]
[3,2,3,4,1,6] => [5,2,1,3,4,6] => 00001 => [5,1]
[3,2,3,4,6,1] => [6,2,1,3,4,5] => 00000 => [6]
[3,2,3,6,1,4] => [5,2,1,3,6,4] => 00000 => [6]
[3,2,3,6,4,1] => [6,2,1,3,5,4] => 00000 => [6]
[3,2,4,1,3,6] => [4,2,1,3,5,6] => 00011 => [4,1,1]
[3,2,4,1,6,3] => [4,2,1,3,6,5] => 00010 => [4,2]
[3,2,4,3,1,6] => [5,2,1,3,4,6] => 00001 => [5,1]
[3,2,4,3,6,1] => [6,2,1,3,4,5] => 00000 => [6]
[3,2,4,6,1,3] => [5,2,1,3,6,4] => 00000 => [6]
[3,2,4,6,3,1] => [6,2,1,3,5,4] => 00000 => [6]
[3,2,6,1,3,4] => [4,2,1,5,6,3] => 00000 => [6]
[3,2,6,1,4,3] => [4,2,1,5,6,3] => 00000 => [6]
[3,2,6,3,1,4] => [5,2,1,4,6,3] => 00000 => [6]
[3,2,6,3,4,1] => [6,2,1,4,5,3] => 00000 => [6]
[3,2,6,4,1,3] => [5,2,1,4,6,3] => 00000 => [6]
[3,2,6,4,3,1] => [6,2,1,4,5,3] => 00000 => [6]
[3,3,1,2,4,6] => [3,4,1,2,5,6] => 00011 => [4,1,1]
[3,3,1,2,6,4] => [3,4,1,2,6,5] => 00010 => [4,2]
[3,3,1,4,2,6] => [3,5,1,2,4,6] => 00001 => [5,1]
[3,3,1,4,6,2] => [3,6,1,2,4,5] => 00000 => [6]
[3,3,1,6,2,4] => [3,5,1,2,6,4] => 00000 => [6]
[3,3,1,6,4,2] => [3,6,1,2,5,4] => 00000 => [6]
[3,3,2,1,4,6] => [4,3,1,2,5,6] => 00011 => [4,1,1]
[3,3,2,1,6,4] => [4,3,1,2,6,5] => 00010 => [4,2]
[3,3,2,4,1,6] => [5,3,1,2,4,6] => 00001 => [5,1]
[3,3,2,4,6,1] => [6,3,1,2,4,5] => 00000 => [6]
[3,3,2,6,1,4] => [5,3,1,2,6,4] => 00000 => [6]
[3,3,2,6,4,1] => [6,3,1,2,5,4] => 00000 => [6]
[3,3,4,1,2,6] => [4,5,1,2,3,6] => 00001 => [5,1]
[3,3,4,1,6,2] => [4,6,1,2,3,5] => 00000 => [6]
[3,3,4,2,1,6] => [5,4,1,2,3,6] => 00001 => [5,1]
[3,3,4,2,6,1] => [6,4,1,2,3,5] => 00000 => [6]
[3,3,4,6,1,2] => [5,6,1,2,3,4] => 00000 => [6]
[3,3,4,6,2,1] => [6,5,1,2,3,4] => 00000 => [6]
[3,3,6,1,2,4] => [4,5,1,2,6,3] => 00000 => [6]
[3,3,6,1,4,2] => [4,6,1,2,5,3] => 00000 => [6]
[3,3,6,2,1,4] => [5,4,1,2,6,3] => 00000 => [6]
[3,3,6,2,4,1] => [6,4,1,2,5,3] => 00000 => [6]
[3,3,6,4,1,2] => [5,6,1,2,4,3] => 00000 => [6]
[3,3,6,4,2,1] => [6,5,1,2,4,3] => 00000 => [6]
[3,4,1,2,3,6] => [3,4,1,2,5,6] => 00011 => [4,1,1]
[3,4,1,2,6,3] => [3,4,1,2,6,5] => 00010 => [4,2]
[3,4,1,3,2,6] => [3,5,1,2,4,6] => 00001 => [5,1]
[3,4,1,3,6,2] => [3,6,1,2,4,5] => 00000 => [6]
[3,4,1,6,2,3] => [3,5,1,2,6,4] => 00000 => [6]
[3,4,1,6,3,2] => [3,6,1,2,5,4] => 00000 => [6]
[3,4,2,1,3,6] => [4,3,1,2,5,6] => 00011 => [4,1,1]
[3,4,2,1,6,3] => [4,3,1,2,6,5] => 00010 => [4,2]
[3,4,2,3,1,6] => [5,3,1,2,4,6] => 00001 => [5,1]
[3,4,2,3,6,1] => [6,3,1,2,4,5] => 00000 => [6]
[3,4,2,6,1,3] => [5,3,1,2,6,4] => 00000 => [6]
[3,4,2,6,3,1] => [6,3,1,2,5,4] => 00000 => [6]
[3,4,3,1,2,6] => [4,5,1,2,3,6] => 00001 => [5,1]
[3,4,3,1,6,2] => [4,6,1,2,3,5] => 00000 => [6]
[3,4,3,2,1,6] => [5,4,1,2,3,6] => 00001 => [5,1]
[3,4,3,2,6,1] => [6,4,1,2,3,5] => 00000 => [6]
[3,4,3,6,1,2] => [5,6,1,2,3,4] => 00000 => [6]
[3,4,3,6,2,1] => [6,5,1,2,3,4] => 00000 => [6]
[3,4,6,1,2,3] => [4,5,1,2,6,3] => 00000 => [6]
[3,4,6,1,3,2] => [4,6,1,2,5,3] => 00000 => [6]
[3,4,6,2,1,3] => [5,4,1,2,6,3] => 00000 => [6]
[3,4,6,2,3,1] => [6,4,1,2,5,3] => 00000 => [6]
[3,4,6,3,1,2] => [5,6,1,2,4,3] => 00000 => [6]
[3,4,6,3,2,1] => [6,5,1,2,4,3] => 00000 => [6]
[3,6,1,2,3,4] => [3,4,1,5,6,2] => 00000 => [6]
[3,6,1,2,4,3] => [3,4,1,5,6,2] => 00000 => [6]
[3,6,1,3,2,4] => [3,5,1,4,6,2] => 00000 => [6]
[3,6,1,3,4,2] => [3,6,1,4,5,2] => 00000 => [6]
[3,6,1,4,2,3] => [3,5,1,4,6,2] => 00000 => [6]
[3,6,1,4,3,2] => [3,6,1,4,5,2] => 00000 => [6]
[3,6,2,1,3,4] => [4,3,1,5,6,2] => 00000 => [6]
[3,6,2,1,4,3] => [4,3,1,5,6,2] => 00000 => [6]
[3,6,2,3,1,4] => [5,3,1,4,6,2] => 00000 => [6]
[3,6,2,3,4,1] => [6,3,1,4,5,2] => 00000 => [6]
[3,6,2,4,1,3] => [5,3,1,4,6,2] => 00000 => [6]
[3,6,2,4,3,1] => [6,3,1,4,5,2] => 00000 => [6]
[3,6,3,1,2,4] => [4,5,1,3,6,2] => 00000 => [6]
[3,6,3,1,4,2] => [4,6,1,3,5,2] => 00000 => [6]
[3,6,3,2,1,4] => [5,4,1,3,6,2] => 00000 => [6]
[3,6,3,2,4,1] => [6,4,1,3,5,2] => 00000 => [6]
[3,6,3,4,1,2] => [5,6,1,3,4,2] => 00000 => [6]
[3,6,3,4,2,1] => [6,5,1,3,4,2] => 00000 => [6]
[3,6,4,1,2,3] => [4,5,1,3,6,2] => 00000 => [6]
[3,6,4,1,3,2] => [4,6,1,3,5,2] => 00000 => [6]
[3,6,4,2,1,3] => [5,4,1,3,6,2] => 00000 => [6]
[3,6,4,2,3,1] => [6,4,1,3,5,2] => 00000 => [6]
[3,6,4,3,1,2] => [5,6,1,3,4,2] => 00000 => [6]
[3,6,4,3,2,1] => [6,5,1,3,4,2] => 00000 => [6]
[4,1,2,3,3,6] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,2,3,6,3] => [2,3,4,1,6,5] => 00010 => [4,2]
[4,1,2,6,3,3] => [2,3,5,1,6,4] => 00000 => [6]
[4,1,3,2,3,6] => [2,4,3,1,5,6] => 00011 => [4,1,1]
[4,1,3,2,6,3] => [2,4,3,1,6,5] => 00010 => [4,2]
[4,1,3,3,2,6] => [2,5,3,1,4,6] => 00001 => [5,1]
[4,1,3,3,6,2] => [2,6,3,1,4,5] => 00000 => [6]
[4,1,3,6,2,3] => [2,5,3,1,6,4] => 00000 => [6]
[4,1,3,6,3,2] => [2,6,3,1,5,4] => 00000 => [6]
[4,1,6,2,3,3] => [2,4,5,1,6,3] => 00000 => [6]
[4,1,6,3,2,3] => [2,5,4,1,6,3] => 00000 => [6]
[4,1,6,3,3,2] => [2,6,4,1,5,3] => 00000 => [6]
[4,2,1,3,3,6] => [3,2,4,1,5,6] => 00011 => [4,1,1]
[4,2,1,3,6,3] => [3,2,4,1,6,5] => 00010 => [4,2]
[4,2,1,6,3,3] => [3,2,5,1,6,4] => 00000 => [6]
[4,2,3,1,3,6] => [4,2,3,1,5,6] => 00011 => [4,1,1]
[4,2,3,1,6,3] => [4,2,3,1,6,5] => 00010 => [4,2]
[4,2,3,3,1,6] => [5,2,3,1,4,6] => 00001 => [5,1]
[4,2,3,3,6,1] => [6,2,3,1,4,5] => 00000 => [6]
[4,2,3,6,1,3] => [5,2,3,1,6,4] => 00000 => [6]
[4,2,3,6,3,1] => [6,2,3,1,5,4] => 00000 => [6]
[4,2,6,1,3,3] => [4,2,5,1,6,3] => 00000 => [6]
[4,2,6,3,1,3] => [5,2,4,1,6,3] => 00000 => [6]
[4,2,6,3,3,1] => [6,2,4,1,5,3] => 00000 => [6]
[4,3,1,2,3,6] => [3,4,2,1,5,6] => 00011 => [4,1,1]
[4,3,1,2,6,3] => [3,4,2,1,6,5] => 00010 => [4,2]
[4,3,1,3,2,6] => [3,5,2,1,4,6] => 00001 => [5,1]
[4,3,1,3,6,2] => [3,6,2,1,4,5] => 00000 => [6]
[4,3,1,6,2,3] => [3,5,2,1,6,4] => 00000 => [6]
[4,3,1,6,3,2] => [3,6,2,1,5,4] => 00000 => [6]
[4,3,2,1,3,6] => [4,3,2,1,5,6] => 00011 => [4,1,1]
[4,3,2,1,6,3] => [4,3,2,1,6,5] => 00010 => [4,2]
[4,3,2,3,1,6] => [5,3,2,1,4,6] => 00001 => [5,1]
[4,3,2,3,6,1] => [6,3,2,1,4,5] => 00000 => [6]
[4,3,2,6,1,3] => [5,3,2,1,6,4] => 00000 => [6]
[4,3,2,6,3,1] => [6,3,2,1,5,4] => 00000 => [6]
[4,3,3,1,2,6] => [4,5,2,1,3,6] => 00001 => [5,1]
[4,3,3,1,6,2] => [4,6,2,1,3,5] => 00000 => [6]
[4,3,3,2,1,6] => [5,4,2,1,3,6] => 00001 => [5,1]
[4,3,3,2,6,1] => [6,4,2,1,3,5] => 00000 => [6]
[4,3,3,6,1,2] => [5,6,2,1,3,4] => 00000 => [6]
[4,3,3,6,2,1] => [6,5,2,1,3,4] => 00000 => [6]
[4,3,6,1,2,3] => [4,5,2,1,6,3] => 00000 => [6]
[4,3,6,1,3,2] => [4,6,2,1,5,3] => 00000 => [6]
[4,3,6,2,1,3] => [5,4,2,1,6,3] => 00000 => [6]
[4,3,6,2,3,1] => [6,4,2,1,5,3] => 00000 => [6]
[4,3,6,3,1,2] => [5,6,2,1,4,3] => 00000 => [6]
[4,3,6,3,2,1] => [6,5,2,1,4,3] => 00000 => [6]
[4,6,1,2,3,3] => [3,4,5,1,6,2] => 00000 => [6]
[4,6,1,3,2,3] => [3,5,4,1,6,2] => 00000 => [6]
[4,6,1,3,3,2] => [3,6,4,1,5,2] => 00000 => [6]
[4,6,2,1,3,3] => [4,3,5,1,6,2] => 00000 => [6]
[4,6,2,3,1,3] => [5,3,4,1,6,2] => 00000 => [6]
[4,6,2,3,3,1] => [6,3,4,1,5,2] => 00000 => [6]
[4,6,3,1,2,3] => [4,5,3,1,6,2] => 00000 => [6]
[4,6,3,1,3,2] => [4,6,3,1,5,2] => 00000 => [6]
[4,6,3,2,1,3] => [5,4,3,1,6,2] => 00000 => [6]
[4,6,3,2,3,1] => [6,4,3,1,5,2] => 00000 => [6]
[4,6,3,3,1,2] => [5,6,3,1,4,2] => 00000 => [6]
[4,6,3,3,2,1] => [6,5,3,1,4,2] => 00000 => [6]
[6,1,2,3,3,4] => [2,3,4,5,6,1] => 00000 => [6]
[6,1,2,3,4,3] => [2,3,4,5,6,1] => 00000 => [6]
[6,1,2,4,3,3] => [2,3,5,4,6,1] => 00000 => [6]
[6,1,3,2,3,4] => [2,4,3,5,6,1] => 00000 => [6]
[6,1,3,2,4,3] => [2,4,3,5,6,1] => 00000 => [6]
[6,1,3,3,2,4] => [2,5,3,4,6,1] => 00000 => [6]
[6,1,3,3,4,2] => [2,6,3,4,5,1] => 00000 => [6]
[6,1,3,4,2,3] => [2,5,3,4,6,1] => 00000 => [6]
[6,1,3,4,3,2] => [2,6,3,4,5,1] => 00000 => [6]
[6,1,4,2,3,3] => [2,4,5,3,6,1] => 00000 => [6]
[6,1,4,3,2,3] => [2,5,4,3,6,1] => 00000 => [6]
[6,1,4,3,3,2] => [2,6,4,3,5,1] => 00000 => [6]
[6,2,1,3,3,4] => [3,2,4,5,6,1] => 00000 => [6]
[6,2,1,3,4,3] => [3,2,4,5,6,1] => 00000 => [6]
[6,2,1,4,3,3] => [3,2,5,4,6,1] => 00000 => [6]
[6,2,3,1,3,4] => [4,2,3,5,6,1] => 00000 => [6]
[6,2,3,1,4,3] => [4,2,3,5,6,1] => 00000 => [6]
[6,2,3,3,1,4] => [5,2,3,4,6,1] => 00000 => [6]
[6,2,3,3,4,1] => [6,2,3,4,5,1] => 00000 => [6]
[6,2,3,4,1,3] => [5,2,3,4,6,1] => 00000 => [6]
[6,2,3,4,3,1] => [6,2,3,4,5,1] => 00000 => [6]
[6,2,4,1,3,3] => [4,2,5,3,6,1] => 00000 => [6]
[6,2,4,3,1,3] => [5,2,4,3,6,1] => 00000 => [6]
[6,2,4,3,3,1] => [6,2,4,3,5,1] => 00000 => [6]
[6,3,1,2,3,4] => [3,4,2,5,6,1] => 00000 => [6]
[6,3,1,2,4,3] => [3,4,2,5,6,1] => 00000 => [6]
[6,3,1,3,2,4] => [3,5,2,4,6,1] => 00000 => [6]
[6,3,1,3,4,2] => [3,6,2,4,5,1] => 00000 => [6]
[6,3,1,4,2,3] => [3,5,2,4,6,1] => 00000 => [6]
[6,3,1,4,3,2] => [3,6,2,4,5,1] => 00000 => [6]
[6,3,2,1,3,4] => [4,3,2,5,6,1] => 00000 => [6]
[6,3,2,1,4,3] => [4,3,2,5,6,1] => 00000 => [6]
[6,3,2,3,1,4] => [5,3,2,4,6,1] => 00000 => [6]
[6,3,2,3,4,1] => [6,3,2,4,5,1] => 00000 => [6]
[6,3,2,4,1,3] => [5,3,2,4,6,1] => 00000 => [6]
[6,3,2,4,3,1] => [6,3,2,4,5,1] => 00000 => [6]
[6,3,3,1,2,4] => [4,5,2,3,6,1] => 00000 => [6]
[6,3,3,1,4,2] => [4,6,2,3,5,1] => 00000 => [6]
[6,3,3,2,1,4] => [5,4,2,3,6,1] => 00000 => [6]
[6,3,3,2,4,1] => [6,4,2,3,5,1] => 00000 => [6]
[6,3,3,4,1,2] => [5,6,2,3,4,1] => 00000 => [6]
[6,3,3,4,2,1] => [6,5,2,3,4,1] => 00000 => [6]
[6,3,4,1,2,3] => [4,5,2,3,6,1] => 00000 => [6]
[6,3,4,1,3,2] => [4,6,2,3,5,1] => 00000 => [6]
[6,3,4,2,1,3] => [5,4,2,3,6,1] => 00000 => [6]
[6,3,4,2,3,1] => [6,4,2,3,5,1] => 00000 => [6]
[6,3,4,3,1,2] => [5,6,2,3,4,1] => 00000 => [6]
[6,3,4,3,2,1] => [6,5,2,3,4,1] => 00000 => [6]
[6,4,1,2,3,3] => [3,4,5,2,6,1] => 00000 => [6]
[6,4,1,3,2,3] => [3,5,4,2,6,1] => 00000 => [6]
[6,4,1,3,3,2] => [3,6,4,2,5,1] => 00000 => [6]
[6,4,2,1,3,3] => [4,3,5,2,6,1] => 00000 => [6]
[6,4,2,3,1,3] => [5,3,4,2,6,1] => 00000 => [6]
[6,4,2,3,3,1] => [6,3,4,2,5,1] => 00000 => [6]
[6,4,3,1,2,3] => [4,5,3,2,6,1] => 00000 => [6]
[6,4,3,1,3,2] => [4,6,3,2,5,1] => 00000 => [6]
[6,4,3,2,1,3] => [5,4,3,2,6,1] => 00000 => [6]
[6,4,3,2,3,1] => [6,4,3,2,5,1] => 00000 => [6]
[6,4,3,3,1,2] => [5,6,3,2,4,1] => 00000 => [6]
[6,4,3,3,2,1] => [6,5,3,2,4,1] => 00000 => [6]
[1,2,3,3,5,5] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,3,5,3,5] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,2,3,5,5,3] => [1,2,3,6,4,5] => 11100 => [1,1,1,3]
[1,2,5,3,3,5] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,2,5,3,5,3] => [1,2,4,6,3,5] => 11000 => [1,1,4]
[1,2,5,5,3,3] => [1,2,5,6,3,4] => 11000 => [1,1,4]
[1,3,2,3,5,5] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,2,5,3,5] => [1,3,2,5,4,6] => 10101 => [1,2,2,1]
[1,3,2,5,5,3] => [1,3,2,6,4,5] => 10100 => [1,2,3]
[1,3,3,2,5,5] => [1,4,2,3,5,6] => 10011 => [1,3,1,1]
[1,3,3,5,2,5] => [1,5,2,3,4,6] => 10001 => [1,4,1]
[1,3,3,5,5,2] => [1,6,2,3,4,5] => 10000 => [1,5]
[1,3,5,2,3,5] => [1,4,2,5,3,6] => 10001 => [1,4,1]
[1,3,5,2,5,3] => [1,4,2,6,3,5] => 10000 => [1,5]
[1,3,5,3,2,5] => [1,5,2,4,3,6] => 10001 => [1,4,1]
[1,3,5,3,5,2] => [1,6,2,4,3,5] => 10000 => [1,5]
[1,3,5,5,2,3] => [1,5,2,6,3,4] => 10000 => [1,5]
[1,3,5,5,3,2] => [1,6,2,5,3,4] => 10000 => [1,5]
[1,5,2,3,3,5] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,2,3,5,3] => [1,3,4,6,2,5] => 10000 => [1,5]
[1,5,2,5,3,3] => [1,3,5,6,2,4] => 10000 => [1,5]
[1,5,3,2,3,5] => [1,4,3,5,2,6] => 10001 => [1,4,1]
[1,5,3,2,5,3] => [1,4,3,6,2,5] => 10000 => [1,5]
[1,5,3,3,2,5] => [1,5,3,4,2,6] => 10001 => [1,4,1]
[1,5,3,3,5,2] => [1,6,3,4,2,5] => 10000 => [1,5]
[1,5,3,5,2,3] => [1,5,3,6,2,4] => 10000 => [1,5]
[1,5,3,5,3,2] => [1,6,3,5,2,4] => 10000 => [1,5]
[1,5,5,2,3,3] => [1,4,5,6,2,3] => 10000 => [1,5]
[1,5,5,3,2,3] => [1,5,4,6,2,3] => 10000 => [1,5]
[1,5,5,3,3,2] => [1,6,4,5,2,3] => 10000 => [1,5]
[2,1,3,3,5,5] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,3,5,3,5] => [2,1,3,5,4,6] => 01101 => [2,1,2,1]
[2,1,3,5,5,3] => [2,1,3,6,4,5] => 01100 => [2,1,3]
[2,1,5,3,3,5] => [2,1,4,5,3,6] => 01001 => [2,3,1]
[2,1,5,3,5,3] => [2,1,4,6,3,5] => 01000 => [2,4]
[2,1,5,5,3,3] => [2,1,5,6,3,4] => 01000 => [2,4]
[2,3,1,3,5,5] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,3,1,5,3,5] => [3,1,2,5,4,6] => 00101 => [3,2,1]
[2,3,1,5,5,3] => [3,1,2,6,4,5] => 00100 => [3,3]
[2,3,3,1,5,5] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,3,3,5,1,5] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,3,3,5,5,1] => [6,1,2,3,4,5] => 00000 => [6]
[2,3,5,1,3,5] => [4,1,2,5,3,6] => 00001 => [5,1]
[2,3,5,1,5,3] => [4,1,2,6,3,5] => 00000 => [6]
[2,3,5,3,1,5] => [5,1,2,4,3,6] => 00001 => [5,1]
[2,3,5,3,5,1] => [6,1,2,4,3,5] => 00000 => [6]
[2,3,5,5,1,3] => [5,1,2,6,3,4] => 00000 => [6]
[2,3,5,5,3,1] => [6,1,2,5,3,4] => 00000 => [6]
[2,5,1,3,3,5] => [3,1,4,5,2,6] => 00001 => [5,1]
[2,5,1,3,5,3] => [3,1,4,6,2,5] => 00000 => [6]
[2,5,1,5,3,3] => [3,1,5,6,2,4] => 00000 => [6]
[2,5,3,1,3,5] => [4,1,3,5,2,6] => 00001 => [5,1]
[2,5,3,1,5,3] => [4,1,3,6,2,5] => 00000 => [6]
[2,5,3,3,1,5] => [5,1,3,4,2,6] => 00001 => [5,1]
[2,5,3,3,5,1] => [6,1,3,4,2,5] => 00000 => [6]
[2,5,3,5,1,3] => [5,1,3,6,2,4] => 00000 => [6]
[2,5,3,5,3,1] => [6,1,3,5,2,4] => 00000 => [6]
[2,5,5,1,3,3] => [4,1,5,6,2,3] => 00000 => [6]
[2,5,5,3,1,3] => [5,1,4,6,2,3] => 00000 => [6]
[2,5,5,3,3,1] => [6,1,4,5,2,3] => 00000 => [6]
[3,1,2,3,5,5] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,2,5,3,5] => [2,3,1,5,4,6] => 00101 => [3,2,1]
[3,1,2,5,5,3] => [2,3,1,6,4,5] => 00100 => [3,3]
[3,1,3,2,5,5] => [2,4,1,3,5,6] => 00011 => [4,1,1]
[3,1,3,5,2,5] => [2,5,1,3,4,6] => 00001 => [5,1]
[3,1,3,5,5,2] => [2,6,1,3,4,5] => 00000 => [6]
[3,1,5,2,3,5] => [2,4,1,5,3,6] => 00001 => [5,1]
[3,1,5,2,5,3] => [2,4,1,6,3,5] => 00000 => [6]
[3,1,5,3,2,5] => [2,5,1,4,3,6] => 00001 => [5,1]
[3,1,5,3,5,2] => [2,6,1,4,3,5] => 00000 => [6]
[3,1,5,5,2,3] => [2,5,1,6,3,4] => 00000 => [6]
[3,1,5,5,3,2] => [2,6,1,5,3,4] => 00000 => [6]
[3,2,1,3,5,5] => [3,2,1,4,5,6] => 00111 => [3,1,1,1]
[3,2,1,5,3,5] => [3,2,1,5,4,6] => 00101 => [3,2,1]
[3,2,1,5,5,3] => [3,2,1,6,4,5] => 00100 => [3,3]
[3,2,3,1,5,5] => [4,2,1,3,5,6] => 00011 => [4,1,1]
[3,2,3,5,1,5] => [5,2,1,3,4,6] => 00001 => [5,1]
[3,2,3,5,5,1] => [6,2,1,3,4,5] => 00000 => [6]
[3,2,5,1,3,5] => [4,2,1,5,3,6] => 00001 => [5,1]
[3,2,5,1,5,3] => [4,2,1,6,3,5] => 00000 => [6]
[3,2,5,3,1,5] => [5,2,1,4,3,6] => 00001 => [5,1]
[3,2,5,3,5,1] => [6,2,1,4,3,5] => 00000 => [6]
[3,2,5,5,1,3] => [5,2,1,6,3,4] => 00000 => [6]
[3,2,5,5,3,1] => [6,2,1,5,3,4] => 00000 => [6]
[3,3,1,2,5,5] => [3,4,1,2,5,6] => 00011 => [4,1,1]
[3,3,1,5,2,5] => [3,5,1,2,4,6] => 00001 => [5,1]
[3,3,1,5,5,2] => [3,6,1,2,4,5] => 00000 => [6]
[3,3,2,1,5,5] => [4,3,1,2,5,6] => 00011 => [4,1,1]
[3,3,2,5,1,5] => [5,3,1,2,4,6] => 00001 => [5,1]
[3,3,2,5,5,1] => [6,3,1,2,4,5] => 00000 => [6]
[3,3,5,1,2,5] => [4,5,1,2,3,6] => 00001 => [5,1]
[3,3,5,1,5,2] => [4,6,1,2,3,5] => 00000 => [6]
[3,3,5,2,1,5] => [5,4,1,2,3,6] => 00001 => [5,1]
[3,3,5,2,5,1] => [6,4,1,2,3,5] => 00000 => [6]
[3,3,5,5,1,2] => [5,6,1,2,3,4] => 00000 => [6]
[3,3,5,5,2,1] => [6,5,1,2,3,4] => 00000 => [6]
[3,5,1,2,3,5] => [3,4,1,5,2,6] => 00001 => [5,1]
[3,5,1,2,5,3] => [3,4,1,6,2,5] => 00000 => [6]
[3,5,1,3,2,5] => [3,5,1,4,2,6] => 00001 => [5,1]
[3,5,1,3,5,2] => [3,6,1,4,2,5] => 00000 => [6]
[3,5,1,5,2,3] => [3,5,1,6,2,4] => 00000 => [6]
[3,5,1,5,3,2] => [3,6,1,5,2,4] => 00000 => [6]
[3,5,2,1,3,5] => [4,3,1,5,2,6] => 00001 => [5,1]
[3,5,2,1,5,3] => [4,3,1,6,2,5] => 00000 => [6]
[3,5,2,3,1,5] => [5,3,1,4,2,6] => 00001 => [5,1]
[3,5,2,3,5,1] => [6,3,1,4,2,5] => 00000 => [6]
[3,5,2,5,1,3] => [5,3,1,6,2,4] => 00000 => [6]
[3,5,2,5,3,1] => [6,3,1,5,2,4] => 00000 => [6]
[3,5,3,1,2,5] => [4,5,1,3,2,6] => 00001 => [5,1]
[3,5,3,1,5,2] => [4,6,1,3,2,5] => 00000 => [6]
[3,5,3,2,1,5] => [5,4,1,3,2,6] => 00001 => [5,1]
[3,5,3,2,5,1] => [6,4,1,3,2,5] => 00000 => [6]
[3,5,3,5,1,2] => [5,6,1,3,2,4] => 00000 => [6]
[3,5,3,5,2,1] => [6,5,1,3,2,4] => 00000 => [6]
[3,5,5,1,2,3] => [4,5,1,6,2,3] => 00000 => [6]
[3,5,5,1,3,2] => [4,6,1,5,2,3] => 00000 => [6]
[3,5,5,2,1,3] => [5,4,1,6,2,3] => 00000 => [6]
[3,5,5,2,3,1] => [6,4,1,5,2,3] => 00000 => [6]
[3,5,5,3,1,2] => [5,6,1,4,2,3] => 00000 => [6]
[3,5,5,3,2,1] => [6,5,1,4,2,3] => 00000 => [6]
[5,1,2,3,3,5] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,2,3,5,3] => [2,3,4,6,1,5] => 00000 => [6]
[5,1,2,5,3,3] => [2,3,5,6,1,4] => 00000 => [6]
[5,1,3,2,3,5] => [2,4,3,5,1,6] => 00001 => [5,1]
[5,1,3,2,5,3] => [2,4,3,6,1,5] => 00000 => [6]
[5,1,3,3,2,5] => [2,5,3,4,1,6] => 00001 => [5,1]
[5,1,3,3,5,2] => [2,6,3,4,1,5] => 00000 => [6]
[5,1,3,5,2,3] => [2,5,3,6,1,4] => 00000 => [6]
[5,1,3,5,3,2] => [2,6,3,5,1,4] => 00000 => [6]
[5,1,5,2,3,3] => [2,4,5,6,1,3] => 00000 => [6]
[5,1,5,3,2,3] => [2,5,4,6,1,3] => 00000 => [6]
[5,1,5,3,3,2] => [2,6,4,5,1,3] => 00000 => [6]
[5,2,1,3,3,5] => [3,2,4,5,1,6] => 00001 => [5,1]
[5,2,1,3,5,3] => [3,2,4,6,1,5] => 00000 => [6]
[5,2,1,5,3,3] => [3,2,5,6,1,4] => 00000 => [6]
[5,2,3,1,3,5] => [4,2,3,5,1,6] => 00001 => [5,1]
[5,2,3,1,5,3] => [4,2,3,6,1,5] => 00000 => [6]
[5,2,3,3,1,5] => [5,2,3,4,1,6] => 00001 => [5,1]
[5,2,3,3,5,1] => [6,2,3,4,1,5] => 00000 => [6]
[5,2,3,5,1,3] => [5,2,3,6,1,4] => 00000 => [6]
[5,2,3,5,3,1] => [6,2,3,5,1,4] => 00000 => [6]
[5,2,5,1,3,3] => [4,2,5,6,1,3] => 00000 => [6]
[5,2,5,3,1,3] => [5,2,4,6,1,3] => 00000 => [6]
[5,2,5,3,3,1] => [6,2,4,5,1,3] => 00000 => [6]
[5,3,1,2,3,5] => [3,4,2,5,1,6] => 00001 => [5,1]
[5,3,1,2,5,3] => [3,4,2,6,1,5] => 00000 => [6]
[5,3,1,3,2,5] => [3,5,2,4,1,6] => 00001 => [5,1]
[5,3,1,3,5,2] => [3,6,2,4,1,5] => 00000 => [6]
[5,3,1,5,2,3] => [3,5,2,6,1,4] => 00000 => [6]
[5,3,1,5,3,2] => [3,6,2,5,1,4] => 00000 => [6]
[5,3,2,1,3,5] => [4,3,2,5,1,6] => 00001 => [5,1]
[5,3,2,1,5,3] => [4,3,2,6,1,5] => 00000 => [6]
[5,3,2,3,1,5] => [5,3,2,4,1,6] => 00001 => [5,1]
[5,3,2,3,5,1] => [6,3,2,4,1,5] => 00000 => [6]
[5,3,2,5,1,3] => [5,3,2,6,1,4] => 00000 => [6]
[5,3,2,5,3,1] => [6,3,2,5,1,4] => 00000 => [6]
[5,3,3,1,2,5] => [4,5,2,3,1,6] => 00001 => [5,1]
[5,3,3,1,5,2] => [4,6,2,3,1,5] => 00000 => [6]
[5,3,3,2,1,5] => [5,4,2,3,1,6] => 00001 => [5,1]
[5,3,3,2,5,1] => [6,4,2,3,1,5] => 00000 => [6]
[5,3,3,5,1,2] => [5,6,2,3,1,4] => 00000 => [6]
[5,3,3,5,2,1] => [6,5,2,3,1,4] => 00000 => [6]
[5,3,5,1,2,3] => [4,5,2,6,1,3] => 00000 => [6]
[5,3,5,1,3,2] => [4,6,2,5,1,3] => 00000 => [6]
[5,3,5,2,1,3] => [5,4,2,6,1,3] => 00000 => [6]
[5,3,5,2,3,1] => [6,4,2,5,1,3] => 00000 => [6]
[5,3,5,3,1,2] => [5,6,2,4,1,3] => 00000 => [6]
[5,3,5,3,2,1] => [6,5,2,4,1,3] => 00000 => [6]
[5,5,1,2,3,3] => [3,4,5,6,1,2] => 00000 => [6]
[5,5,1,3,2,3] => [3,5,4,6,1,2] => 00000 => [6]
[5,5,1,3,3,2] => [3,6,4,5,1,2] => 00000 => [6]
[5,5,2,1,3,3] => [4,3,5,6,1,2] => 00000 => [6]
[5,5,2,3,1,3] => [5,3,4,6,1,2] => 00000 => [6]
[5,5,2,3,3,1] => [6,3,4,5,1,2] => 00000 => [6]
[5,5,3,1,2,3] => [4,5,3,6,1,2] => 00000 => [6]
[5,5,3,1,3,2] => [4,6,3,5,1,2] => 00000 => [6]
[5,5,3,2,1,3] => [5,4,3,6,1,2] => 00000 => [6]
[5,5,3,2,3,1] => [6,4,3,5,1,2] => 00000 => [6]
[5,5,3,3,1,2] => [5,6,3,4,1,2] => 00000 => [6]
[5,5,3,3,2,1] => [6,5,3,4,1,2] => 00000 => [6]
[1,2,3,3,5,6] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,3,3,6,5] => [1,2,3,4,6,5] => 11110 => [1,1,1,1,2]
[1,2,3,5,3,6] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,2,3,5,6,3] => [1,2,3,6,4,5] => 11100 => [1,1,1,3]
[1,2,3,6,3,5] => [1,2,3,5,6,4] => 11100 => [1,1,1,3]
[1,2,3,6,5,3] => [1,2,3,6,5,4] => 11100 => [1,1,1,3]
[1,2,5,3,3,6] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,2,5,3,6,3] => [1,2,4,6,3,5] => 11000 => [1,1,4]
[1,2,5,6,3,3] => [1,2,5,6,3,4] => 11000 => [1,1,4]
[1,2,6,3,3,5] => [1,2,4,5,6,3] => 11000 => [1,1,4]
[1,2,6,3,5,3] => [1,2,4,6,5,3] => 11000 => [1,1,4]
[1,2,6,5,3,3] => [1,2,5,6,4,3] => 11000 => [1,1,4]
[1,3,2,3,5,6] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,2,3,6,5] => [1,3,2,4,6,5] => 10110 => [1,2,1,2]
[1,3,2,5,3,6] => [1,3,2,5,4,6] => 10101 => [1,2,2,1]
[1,3,2,5,6,3] => [1,3,2,6,4,5] => 10100 => [1,2,3]
[1,3,2,6,3,5] => [1,3,2,5,6,4] => 10100 => [1,2,3]
[1,3,2,6,5,3] => [1,3,2,6,5,4] => 10100 => [1,2,3]
[1,3,3,2,5,6] => [1,4,2,3,5,6] => 10011 => [1,3,1,1]
[1,3,3,2,6,5] => [1,4,2,3,6,5] => 10010 => [1,3,2]
[1,3,3,5,2,6] => [1,5,2,3,4,6] => 10001 => [1,4,1]
[1,3,3,5,6,2] => [1,6,2,3,4,5] => 10000 => [1,5]
[1,3,3,6,2,5] => [1,5,2,3,6,4] => 10000 => [1,5]
[1,3,3,6,5,2] => [1,6,2,3,5,4] => 10000 => [1,5]
[1,3,5,2,3,6] => [1,4,2,5,3,6] => 10001 => [1,4,1]
[1,3,5,2,6,3] => [1,4,2,6,3,5] => 10000 => [1,5]
[1,3,5,3,2,6] => [1,5,2,4,3,6] => 10001 => [1,4,1]
[1,3,5,3,6,2] => [1,6,2,4,3,5] => 10000 => [1,5]
[1,3,5,6,2,3] => [1,5,2,6,3,4] => 10000 => [1,5]
[1,3,5,6,3,2] => [1,6,2,5,3,4] => 10000 => [1,5]
[1,3,6,2,3,5] => [1,4,2,5,6,3] => 10000 => [1,5]
[1,3,6,2,5,3] => [1,4,2,6,5,3] => 10000 => [1,5]
[1,3,6,3,2,5] => [1,5,2,4,6,3] => 10000 => [1,5]
[1,3,6,3,5,2] => [1,6,2,4,5,3] => 10000 => [1,5]
[1,3,6,5,2,3] => [1,5,2,6,4,3] => 10000 => [1,5]
[1,3,6,5,3,2] => [1,6,2,5,4,3] => 10000 => [1,5]
[1,5,2,3,3,6] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,2,3,6,3] => [1,3,4,6,2,5] => 10000 => [1,5]
[1,5,2,6,3,3] => [1,3,5,6,2,4] => 10000 => [1,5]
[1,5,3,2,3,6] => [1,4,3,5,2,6] => 10001 => [1,4,1]
[1,5,3,2,6,3] => [1,4,3,6,2,5] => 10000 => [1,5]
[1,5,3,3,2,6] => [1,5,3,4,2,6] => 10001 => [1,4,1]
[1,5,3,3,6,2] => [1,6,3,4,2,5] => 10000 => [1,5]
[1,5,3,6,2,3] => [1,5,3,6,2,4] => 10000 => [1,5]
[1,5,3,6,3,2] => [1,6,3,5,2,4] => 10000 => [1,5]
[1,5,6,2,3,3] => [1,4,5,6,2,3] => 10000 => [1,5]
[1,5,6,3,2,3] => [1,5,4,6,2,3] => 10000 => [1,5]
[1,5,6,3,3,2] => [1,6,4,5,2,3] => 10000 => [1,5]
[1,6,2,3,3,5] => [1,3,4,5,6,2] => 10000 => [1,5]
[1,6,2,3,5,3] => [1,3,4,6,5,2] => 10000 => [1,5]
[1,6,2,5,3,3] => [1,3,5,6,4,2] => 10000 => [1,5]
[1,6,3,2,3,5] => [1,4,3,5,6,2] => 10000 => [1,5]
[1,6,3,2,5,3] => [1,4,3,6,5,2] => 10000 => [1,5]
[1,6,3,3,2,5] => [1,5,3,4,6,2] => 10000 => [1,5]
[1,6,3,3,5,2] => [1,6,3,4,5,2] => 10000 => [1,5]
[1,6,3,5,2,3] => [1,5,3,6,4,2] => 10000 => [1,5]
[1,6,3,5,3,2] => [1,6,3,5,4,2] => 10000 => [1,5]
[1,6,5,2,3,3] => [1,4,5,6,3,2] => 10000 => [1,5]
[1,6,5,3,2,3] => [1,5,4,6,3,2] => 10000 => [1,5]
[1,6,5,3,3,2] => [1,6,4,5,3,2] => 10000 => [1,5]
[2,1,3,3,5,6] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,3,3,6,5] => [2,1,3,4,6,5] => 01110 => [2,1,1,2]
[2,1,3,5,3,6] => [2,1,3,5,4,6] => 01101 => [2,1,2,1]
[2,1,3,5,6,3] => [2,1,3,6,4,5] => 01100 => [2,1,3]
[2,1,3,6,3,5] => [2,1,3,5,6,4] => 01100 => [2,1,3]
[2,1,3,6,5,3] => [2,1,3,6,5,4] => 01100 => [2,1,3]
[2,1,5,3,3,6] => [2,1,4,5,3,6] => 01001 => [2,3,1]
[2,1,5,3,6,3] => [2,1,4,6,3,5] => 01000 => [2,4]
[2,1,5,6,3,3] => [2,1,5,6,3,4] => 01000 => [2,4]
[2,1,6,3,3,5] => [2,1,4,5,6,3] => 01000 => [2,4]
[2,1,6,3,5,3] => [2,1,4,6,5,3] => 01000 => [2,4]
[2,1,6,5,3,3] => [2,1,5,6,4,3] => 01000 => [2,4]
[2,3,1,3,5,6] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,3,1,3,6,5] => [3,1,2,4,6,5] => 00110 => [3,1,2]
[2,3,1,5,3,6] => [3,1,2,5,4,6] => 00101 => [3,2,1]
[2,3,1,5,6,3] => [3,1,2,6,4,5] => 00100 => [3,3]
[2,3,1,6,3,5] => [3,1,2,5,6,4] => 00100 => [3,3]
[2,3,1,6,5,3] => [3,1,2,6,5,4] => 00100 => [3,3]
[2,3,3,1,5,6] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,3,3,1,6,5] => [4,1,2,3,6,5] => 00010 => [4,2]
[2,3,3,5,1,6] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,3,3,5,6,1] => [6,1,2,3,4,5] => 00000 => [6]
[2,3,3,6,1,5] => [5,1,2,3,6,4] => 00000 => [6]
[2,3,3,6,5,1] => [6,1,2,3,5,4] => 00000 => [6]
[2,3,5,1,3,6] => [4,1,2,5,3,6] => 00001 => [5,1]
[2,3,5,1,6,3] => [4,1,2,6,3,5] => 00000 => [6]
[2,3,5,3,1,6] => [5,1,2,4,3,6] => 00001 => [5,1]
[2,3,5,3,6,1] => [6,1,2,4,3,5] => 00000 => [6]
[2,3,5,6,1,3] => [5,1,2,6,3,4] => 00000 => [6]
[2,3,5,6,3,1] => [6,1,2,5,3,4] => 00000 => [6]
[2,3,6,1,3,5] => [4,1,2,5,6,3] => 00000 => [6]
[2,3,6,1,5,3] => [4,1,2,6,5,3] => 00000 => [6]
[2,3,6,3,1,5] => [5,1,2,4,6,3] => 00000 => [6]
[2,3,6,3,5,1] => [6,1,2,4,5,3] => 00000 => [6]
[2,3,6,5,1,3] => [5,1,2,6,4,3] => 00000 => [6]
[2,3,6,5,3,1] => [6,1,2,5,4,3] => 00000 => [6]
[2,5,1,3,3,6] => [3,1,4,5,2,6] => 00001 => [5,1]
[2,5,1,3,6,3] => [3,1,4,6,2,5] => 00000 => [6]
[2,5,1,6,3,3] => [3,1,5,6,2,4] => 00000 => [6]
[2,5,3,1,3,6] => [4,1,3,5,2,6] => 00001 => [5,1]
[2,5,3,1,6,3] => [4,1,3,6,2,5] => 00000 => [6]
[2,5,3,3,1,6] => [5,1,3,4,2,6] => 00001 => [5,1]
[2,5,3,3,6,1] => [6,1,3,4,2,5] => 00000 => [6]
[2,5,3,6,1,3] => [5,1,3,6,2,4] => 00000 => [6]
[2,5,3,6,3,1] => [6,1,3,5,2,4] => 00000 => [6]
[2,5,6,1,3,3] => [4,1,5,6,2,3] => 00000 => [6]
[2,5,6,3,1,3] => [5,1,4,6,2,3] => 00000 => [6]
[2,5,6,3,3,1] => [6,1,4,5,2,3] => 00000 => [6]
[2,6,1,3,3,5] => [3,1,4,5,6,2] => 00000 => [6]
[2,6,1,3,5,3] => [3,1,4,6,5,2] => 00000 => [6]
[2,6,1,5,3,3] => [3,1,5,6,4,2] => 00000 => [6]
[2,6,3,1,3,5] => [4,1,3,5,6,2] => 00000 => [6]
[2,6,3,1,5,3] => [4,1,3,6,5,2] => 00000 => [6]
[2,6,3,3,1,5] => [5,1,3,4,6,2] => 00000 => [6]
[2,6,3,3,5,1] => [6,1,3,4,5,2] => 00000 => [6]
[2,6,3,5,1,3] => [5,1,3,6,4,2] => 00000 => [6]
[2,6,3,5,3,1] => [6,1,3,5,4,2] => 00000 => [6]
[2,6,5,1,3,3] => [4,1,5,6,3,2] => 00000 => [6]
[2,6,5,3,1,3] => [5,1,4,6,3,2] => 00000 => [6]
[2,6,5,3,3,1] => [6,1,4,5,3,2] => 00000 => [6]
[3,1,2,3,5,6] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,2,3,6,5] => [2,3,1,4,6,5] => 00110 => [3,1,2]
[3,1,2,5,3,6] => [2,3,1,5,4,6] => 00101 => [3,2,1]
[3,1,2,5,6,3] => [2,3,1,6,4,5] => 00100 => [3,3]
[3,1,2,6,3,5] => [2,3,1,5,6,4] => 00100 => [3,3]
[3,1,2,6,5,3] => [2,3,1,6,5,4] => 00100 => [3,3]
[3,1,3,2,5,6] => [2,4,1,3,5,6] => 00011 => [4,1,1]
[3,1,3,2,6,5] => [2,4,1,3,6,5] => 00010 => [4,2]
[3,1,3,5,2,6] => [2,5,1,3,4,6] => 00001 => [5,1]
[3,1,3,5,6,2] => [2,6,1,3,4,5] => 00000 => [6]
[3,1,3,6,2,5] => [2,5,1,3,6,4] => 00000 => [6]
[3,1,3,6,5,2] => [2,6,1,3,5,4] => 00000 => [6]
[3,1,5,2,3,6] => [2,4,1,5,3,6] => 00001 => [5,1]
[3,1,5,2,6,3] => [2,4,1,6,3,5] => 00000 => [6]
[3,1,5,3,2,6] => [2,5,1,4,3,6] => 00001 => [5,1]
[3,1,5,3,6,2] => [2,6,1,4,3,5] => 00000 => [6]
[3,1,5,6,2,3] => [2,5,1,6,3,4] => 00000 => [6]
[3,1,5,6,3,2] => [2,6,1,5,3,4] => 00000 => [6]
[3,1,6,2,3,5] => [2,4,1,5,6,3] => 00000 => [6]
[3,1,6,2,5,3] => [2,4,1,6,5,3] => 00000 => [6]
[3,1,6,3,2,5] => [2,5,1,4,6,3] => 00000 => [6]
[3,1,6,3,5,2] => [2,6,1,4,5,3] => 00000 => [6]
[3,1,6,5,2,3] => [2,5,1,6,4,3] => 00000 => [6]
[3,1,6,5,3,2] => [2,6,1,5,4,3] => 00000 => [6]
[3,2,1,3,5,6] => [3,2,1,4,5,6] => 00111 => [3,1,1,1]
[3,2,1,3,6,5] => [3,2,1,4,6,5] => 00110 => [3,1,2]
[3,2,1,5,3,6] => [3,2,1,5,4,6] => 00101 => [3,2,1]
[3,2,1,5,6,3] => [3,2,1,6,4,5] => 00100 => [3,3]
[3,2,1,6,3,5] => [3,2,1,5,6,4] => 00100 => [3,3]
[3,2,1,6,5,3] => [3,2,1,6,5,4] => 00100 => [3,3]
[3,2,3,1,5,6] => [4,2,1,3,5,6] => 00011 => [4,1,1]
[3,2,3,1,6,5] => [4,2,1,3,6,5] => 00010 => [4,2]
[3,2,3,5,1,6] => [5,2,1,3,4,6] => 00001 => [5,1]
[3,2,3,5,6,1] => [6,2,1,3,4,5] => 00000 => [6]
[3,2,3,6,1,5] => [5,2,1,3,6,4] => 00000 => [6]
[3,2,3,6,5,1] => [6,2,1,3,5,4] => 00000 => [6]
[3,2,5,1,3,6] => [4,2,1,5,3,6] => 00001 => [5,1]
[3,2,5,1,6,3] => [4,2,1,6,3,5] => 00000 => [6]
[3,2,5,3,1,6] => [5,2,1,4,3,6] => 00001 => [5,1]
[3,2,5,3,6,1] => [6,2,1,4,3,5] => 00000 => [6]
[3,2,5,6,1,3] => [5,2,1,6,3,4] => 00000 => [6]
[3,2,5,6,3,1] => [6,2,1,5,3,4] => 00000 => [6]
[3,2,6,1,3,5] => [4,2,1,5,6,3] => 00000 => [6]
[3,2,6,1,5,3] => [4,2,1,6,5,3] => 00000 => [6]
[3,2,6,3,1,5] => [5,2,1,4,6,3] => 00000 => [6]
[3,2,6,3,5,1] => [6,2,1,4,5,3] => 00000 => [6]
[3,2,6,5,1,3] => [5,2,1,6,4,3] => 00000 => [6]
[3,2,6,5,3,1] => [6,2,1,5,4,3] => 00000 => [6]
[3,3,1,2,5,6] => [3,4,1,2,5,6] => 00011 => [4,1,1]
[3,3,1,2,6,5] => [3,4,1,2,6,5] => 00010 => [4,2]
[3,3,1,5,2,6] => [3,5,1,2,4,6] => 00001 => [5,1]
[3,3,1,5,6,2] => [3,6,1,2,4,5] => 00000 => [6]
[3,3,1,6,2,5] => [3,5,1,2,6,4] => 00000 => [6]
[3,3,1,6,5,2] => [3,6,1,2,5,4] => 00000 => [6]
[3,3,2,1,5,6] => [4,3,1,2,5,6] => 00011 => [4,1,1]
[3,3,2,1,6,5] => [4,3,1,2,6,5] => 00010 => [4,2]
[3,3,2,5,1,6] => [5,3,1,2,4,6] => 00001 => [5,1]
[3,3,2,5,6,1] => [6,3,1,2,4,5] => 00000 => [6]
[3,3,2,6,1,5] => [5,3,1,2,6,4] => 00000 => [6]
[3,3,2,6,5,1] => [6,3,1,2,5,4] => 00000 => [6]
[3,3,5,1,2,6] => [4,5,1,2,3,6] => 00001 => [5,1]
[3,3,5,1,6,2] => [4,6,1,2,3,5] => 00000 => [6]
[3,3,5,2,1,6] => [5,4,1,2,3,6] => 00001 => [5,1]
[3,3,5,2,6,1] => [6,4,1,2,3,5] => 00000 => [6]
[3,3,5,6,1,2] => [5,6,1,2,3,4] => 00000 => [6]
[3,3,5,6,2,1] => [6,5,1,2,3,4] => 00000 => [6]
[3,3,6,1,2,5] => [4,5,1,2,6,3] => 00000 => [6]
[3,3,6,1,5,2] => [4,6,1,2,5,3] => 00000 => [6]
[3,3,6,2,1,5] => [5,4,1,2,6,3] => 00000 => [6]
[3,3,6,2,5,1] => [6,4,1,2,5,3] => 00000 => [6]
[3,3,6,5,1,2] => [5,6,1,2,4,3] => 00000 => [6]
[3,3,6,5,2,1] => [6,5,1,2,4,3] => 00000 => [6]
[3,5,1,2,3,6] => [3,4,1,5,2,6] => 00001 => [5,1]
[3,5,1,2,6,3] => [3,4,1,6,2,5] => 00000 => [6]
[3,5,1,3,2,6] => [3,5,1,4,2,6] => 00001 => [5,1]
[3,5,1,3,6,2] => [3,6,1,4,2,5] => 00000 => [6]
[3,5,1,6,2,3] => [3,5,1,6,2,4] => 00000 => [6]
[3,5,1,6,3,2] => [3,6,1,5,2,4] => 00000 => [6]
[3,5,2,1,3,6] => [4,3,1,5,2,6] => 00001 => [5,1]
[3,5,2,1,6,3] => [4,3,1,6,2,5] => 00000 => [6]
[3,5,2,3,1,6] => [5,3,1,4,2,6] => 00001 => [5,1]
[3,5,2,3,6,1] => [6,3,1,4,2,5] => 00000 => [6]
[3,5,2,6,1,3] => [5,3,1,6,2,4] => 00000 => [6]
[3,5,2,6,3,1] => [6,3,1,5,2,4] => 00000 => [6]
[3,5,3,1,2,6] => [4,5,1,3,2,6] => 00001 => [5,1]
[3,5,3,1,6,2] => [4,6,1,3,2,5] => 00000 => [6]
[3,5,3,2,1,6] => [5,4,1,3,2,6] => 00001 => [5,1]
[3,5,3,2,6,1] => [6,4,1,3,2,5] => 00000 => [6]
[3,5,3,6,1,2] => [5,6,1,3,2,4] => 00000 => [6]
[3,5,3,6,2,1] => [6,5,1,3,2,4] => 00000 => [6]
[3,5,6,1,2,3] => [4,5,1,6,2,3] => 00000 => [6]
[3,5,6,1,3,2] => [4,6,1,5,2,3] => 00000 => [6]
[3,5,6,2,1,3] => [5,4,1,6,2,3] => 00000 => [6]
[3,5,6,2,3,1] => [6,4,1,5,2,3] => 00000 => [6]
[3,5,6,3,1,2] => [5,6,1,4,2,3] => 00000 => [6]
[3,5,6,3,2,1] => [6,5,1,4,2,3] => 00000 => [6]
[3,6,1,2,3,5] => [3,4,1,5,6,2] => 00000 => [6]
[3,6,1,2,5,3] => [3,4,1,6,5,2] => 00000 => [6]
[3,6,1,3,2,5] => [3,5,1,4,6,2] => 00000 => [6]
[3,6,1,3,5,2] => [3,6,1,4,5,2] => 00000 => [6]
[3,6,1,5,2,3] => [3,5,1,6,4,2] => 00000 => [6]
[3,6,1,5,3,2] => [3,6,1,5,4,2] => 00000 => [6]
[3,6,2,1,3,5] => [4,3,1,5,6,2] => 00000 => [6]
[3,6,2,1,5,3] => [4,3,1,6,5,2] => 00000 => [6]
[3,6,2,3,1,5] => [5,3,1,4,6,2] => 00000 => [6]
[3,6,2,3,5,1] => [6,3,1,4,5,2] => 00000 => [6]
[3,6,2,5,1,3] => [5,3,1,6,4,2] => 00000 => [6]
[3,6,2,5,3,1] => [6,3,1,5,4,2] => 00000 => [6]
[3,6,3,1,2,5] => [4,5,1,3,6,2] => 00000 => [6]
[3,6,3,1,5,2] => [4,6,1,3,5,2] => 00000 => [6]
[3,6,3,2,1,5] => [5,4,1,3,6,2] => 00000 => [6]
[3,6,3,2,5,1] => [6,4,1,3,5,2] => 00000 => [6]
[3,6,3,5,1,2] => [5,6,1,3,4,2] => 00000 => [6]
[3,6,3,5,2,1] => [6,5,1,3,4,2] => 00000 => [6]
[3,6,5,1,2,3] => [4,5,1,6,3,2] => 00000 => [6]
[3,6,5,1,3,2] => [4,6,1,5,3,2] => 00000 => [6]
[3,6,5,2,1,3] => [5,4,1,6,3,2] => 00000 => [6]
[3,6,5,2,3,1] => [6,4,1,5,3,2] => 00000 => [6]
[3,6,5,3,1,2] => [5,6,1,4,3,2] => 00000 => [6]
[3,6,5,3,2,1] => [6,5,1,4,3,2] => 00000 => [6]
[5,1,2,3,3,6] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,2,3,6,3] => [2,3,4,6,1,5] => 00000 => [6]
[5,1,2,6,3,3] => [2,3,5,6,1,4] => 00000 => [6]
[5,1,3,2,3,6] => [2,4,3,5,1,6] => 00001 => [5,1]
[5,1,3,2,6,3] => [2,4,3,6,1,5] => 00000 => [6]
[5,1,3,3,2,6] => [2,5,3,4,1,6] => 00001 => [5,1]
[5,1,3,3,6,2] => [2,6,3,4,1,5] => 00000 => [6]
[5,1,3,6,2,3] => [2,5,3,6,1,4] => 00000 => [6]
[5,1,3,6,3,2] => [2,6,3,5,1,4] => 00000 => [6]
[5,1,6,2,3,3] => [2,4,5,6,1,3] => 00000 => [6]
[5,1,6,3,2,3] => [2,5,4,6,1,3] => 00000 => [6]
[5,1,6,3,3,2] => [2,6,4,5,1,3] => 00000 => [6]
[5,2,1,3,3,6] => [3,2,4,5,1,6] => 00001 => [5,1]
[5,2,1,3,6,3] => [3,2,4,6,1,5] => 00000 => [6]
[5,2,1,6,3,3] => [3,2,5,6,1,4] => 00000 => [6]
[5,2,3,1,3,6] => [4,2,3,5,1,6] => 00001 => [5,1]
[5,2,3,1,6,3] => [4,2,3,6,1,5] => 00000 => [6]
[5,2,3,3,1,6] => [5,2,3,4,1,6] => 00001 => [5,1]
[5,2,3,3,6,1] => [6,2,3,4,1,5] => 00000 => [6]
[5,2,3,6,1,3] => [5,2,3,6,1,4] => 00000 => [6]
[5,2,3,6,3,1] => [6,2,3,5,1,4] => 00000 => [6]
[5,2,6,1,3,3] => [4,2,5,6,1,3] => 00000 => [6]
[5,2,6,3,1,3] => [5,2,4,6,1,3] => 00000 => [6]
[5,2,6,3,3,1] => [6,2,4,5,1,3] => 00000 => [6]
[5,3,1,2,3,6] => [3,4,2,5,1,6] => 00001 => [5,1]
[5,3,1,2,6,3] => [3,4,2,6,1,5] => 00000 => [6]
[5,3,1,3,2,6] => [3,5,2,4,1,6] => 00001 => [5,1]
[5,3,1,3,6,2] => [3,6,2,4,1,5] => 00000 => [6]
[5,3,1,6,2,3] => [3,5,2,6,1,4] => 00000 => [6]
[5,3,1,6,3,2] => [3,6,2,5,1,4] => 00000 => [6]
[5,3,2,1,3,6] => [4,3,2,5,1,6] => 00001 => [5,1]
[5,3,2,1,6,3] => [4,3,2,6,1,5] => 00000 => [6]
[5,3,2,3,1,6] => [5,3,2,4,1,6] => 00001 => [5,1]
[5,3,2,3,6,1] => [6,3,2,4,1,5] => 00000 => [6]
[5,3,2,6,1,3] => [5,3,2,6,1,4] => 00000 => [6]
[5,3,2,6,3,1] => [6,3,2,5,1,4] => 00000 => [6]
[5,3,3,1,2,6] => [4,5,2,3,1,6] => 00001 => [5,1]
[5,3,3,1,6,2] => [4,6,2,3,1,5] => 00000 => [6]
[5,3,3,2,1,6] => [5,4,2,3,1,6] => 00001 => [5,1]
[5,3,3,2,6,1] => [6,4,2,3,1,5] => 00000 => [6]
[5,3,3,6,1,2] => [5,6,2,3,1,4] => 00000 => [6]
[5,3,3,6,2,1] => [6,5,2,3,1,4] => 00000 => [6]
[5,3,6,1,2,3] => [4,5,2,6,1,3] => 00000 => [6]
[5,3,6,1,3,2] => [4,6,2,5,1,3] => 00000 => [6]
[5,3,6,2,1,3] => [5,4,2,6,1,3] => 00000 => [6]
[5,3,6,2,3,1] => [6,4,2,5,1,3] => 00000 => [6]
[5,3,6,3,1,2] => [5,6,2,4,1,3] => 00000 => [6]
[5,3,6,3,2,1] => [6,5,2,4,1,3] => 00000 => [6]
[5,6,1,2,3,3] => [3,4,5,6,1,2] => 00000 => [6]
[5,6,1,3,2,3] => [3,5,4,6,1,2] => 00000 => [6]
[5,6,1,3,3,2] => [3,6,4,5,1,2] => 00000 => [6]
[5,6,2,1,3,3] => [4,3,5,6,1,2] => 00000 => [6]
[5,6,2,3,1,3] => [5,3,4,6,1,2] => 00000 => [6]
[5,6,2,3,3,1] => [6,3,4,5,1,2] => 00000 => [6]
[5,6,3,1,2,3] => [4,5,3,6,1,2] => 00000 => [6]
[5,6,3,1,3,2] => [4,6,3,5,1,2] => 00000 => [6]
[5,6,3,2,1,3] => [5,4,3,6,1,2] => 00000 => [6]
[5,6,3,2,3,1] => [6,4,3,5,1,2] => 00000 => [6]
[5,6,3,3,1,2] => [5,6,3,4,1,2] => 00000 => [6]
[5,6,3,3,2,1] => [6,5,3,4,1,2] => 00000 => [6]
[6,1,2,3,3,5] => [2,3,4,5,6,1] => 00000 => [6]
[6,1,2,3,5,3] => [2,3,4,6,5,1] => 00000 => [6]
[6,1,2,5,3,3] => [2,3,5,6,4,1] => 00000 => [6]
[6,1,3,2,3,5] => [2,4,3,5,6,1] => 00000 => [6]
[6,1,3,2,5,3] => [2,4,3,6,5,1] => 00000 => [6]
[6,1,3,3,2,5] => [2,5,3,4,6,1] => 00000 => [6]
[6,1,3,3,5,2] => [2,6,3,4,5,1] => 00000 => [6]
[6,1,3,5,2,3] => [2,5,3,6,4,1] => 00000 => [6]
[6,1,3,5,3,2] => [2,6,3,5,4,1] => 00000 => [6]
[6,1,5,2,3,3] => [2,4,5,6,3,1] => 00000 => [6]
[6,1,5,3,2,3] => [2,5,4,6,3,1] => 00000 => [6]
[6,1,5,3,3,2] => [2,6,4,5,3,1] => 00000 => [6]
[6,2,1,3,3,5] => [3,2,4,5,6,1] => 00000 => [6]
[6,2,1,3,5,3] => [3,2,4,6,5,1] => 00000 => [6]
[6,2,1,5,3,3] => [3,2,5,6,4,1] => 00000 => [6]
[6,2,3,1,3,5] => [4,2,3,5,6,1] => 00000 => [6]
[6,2,3,1,5,3] => [4,2,3,6,5,1] => 00000 => [6]
[6,2,3,3,1,5] => [5,2,3,4,6,1] => 00000 => [6]
[6,2,3,3,5,1] => [6,2,3,4,5,1] => 00000 => [6]
[6,2,3,5,1,3] => [5,2,3,6,4,1] => 00000 => [6]
[6,2,3,5,3,1] => [6,2,3,5,4,1] => 00000 => [6]
[6,2,5,1,3,3] => [4,2,5,6,3,1] => 00000 => [6]
[6,2,5,3,1,3] => [5,2,4,6,3,1] => 00000 => [6]
[6,2,5,3,3,1] => [6,2,4,5,3,1] => 00000 => [6]
[6,3,1,2,3,5] => [3,4,2,5,6,1] => 00000 => [6]
[6,3,1,2,5,3] => [3,4,2,6,5,1] => 00000 => [6]
[6,3,1,3,2,5] => [3,5,2,4,6,1] => 00000 => [6]
[6,3,1,3,5,2] => [3,6,2,4,5,1] => 00000 => [6]
[6,3,1,5,2,3] => [3,5,2,6,4,1] => 00000 => [6]
[6,3,1,5,3,2] => [3,6,2,5,4,1] => 00000 => [6]
[6,3,2,1,3,5] => [4,3,2,5,6,1] => 00000 => [6]
[6,3,2,1,5,3] => [4,3,2,6,5,1] => 00000 => [6]
[6,3,2,3,1,5] => [5,3,2,4,6,1] => 00000 => [6]
[6,3,2,3,5,1] => [6,3,2,4,5,1] => 00000 => [6]
[6,3,2,5,1,3] => [5,3,2,6,4,1] => 00000 => [6]
[6,3,2,5,3,1] => [6,3,2,5,4,1] => 00000 => [6]
[6,3,3,1,2,5] => [4,5,2,3,6,1] => 00000 => [6]
[6,3,3,1,5,2] => [4,6,2,3,5,1] => 00000 => [6]
[6,3,3,2,1,5] => [5,4,2,3,6,1] => 00000 => [6]
[6,3,3,2,5,1] => [6,4,2,3,5,1] => 00000 => [6]
[6,3,3,5,1,2] => [5,6,2,3,4,1] => 00000 => [6]
[6,3,3,5,2,1] => [6,5,2,3,4,1] => 00000 => [6]
[6,3,5,1,2,3] => [4,5,2,6,3,1] => 00000 => [6]
[6,3,5,1,3,2] => [4,6,2,5,3,1] => 00000 => [6]
[6,3,5,2,1,3] => [5,4,2,6,3,1] => 00000 => [6]
[6,3,5,2,3,1] => [6,4,2,5,3,1] => 00000 => [6]
[6,3,5,3,1,2] => [5,6,2,4,3,1] => 00000 => [6]
[6,3,5,3,2,1] => [6,5,2,4,3,1] => 00000 => [6]
[6,5,1,2,3,3] => [3,4,5,6,2,1] => 00000 => [6]
[6,5,1,3,2,3] => [3,5,4,6,2,1] => 00000 => [6]
[6,5,1,3,3,2] => [3,6,4,5,2,1] => 00000 => [6]
[6,5,2,1,3,3] => [4,3,5,6,2,1] => 00000 => [6]
[6,5,2,3,1,3] => [5,3,4,6,2,1] => 00000 => [6]
[6,5,2,3,3,1] => [6,3,4,5,2,1] => 00000 => [6]
[6,5,3,1,2,3] => [4,5,3,6,2,1] => 00000 => [6]
[6,5,3,1,3,2] => [4,6,3,5,2,1] => 00000 => [6]
[6,5,3,2,1,3] => [5,4,3,6,2,1] => 00000 => [6]
[6,5,3,2,3,1] => [6,4,3,5,2,1] => 00000 => [6]
[6,5,3,3,1,2] => [5,6,3,4,2,1] => 00000 => [6]
[6,5,3,3,2,1] => [6,5,3,4,2,1] => 00000 => [6]
[1,2,3,4,4,4] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,4,3,4,4] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,2,4,4,3,4] => [1,2,5,3,4,6] => 11001 => [1,1,3,1]
[1,2,4,4,4,3] => [1,2,6,3,4,5] => 11000 => [1,1,4]
[1,3,2,4,4,4] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,4,2,4,4] => [1,4,2,3,5,6] => 10011 => [1,3,1,1]
[1,3,4,4,2,4] => [1,5,2,3,4,6] => 10001 => [1,4,1]
[1,3,4,4,4,2] => [1,6,2,3,4,5] => 10000 => [1,5]
[1,4,2,3,4,4] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,2,4,3,4] => [1,3,5,2,4,6] => 10001 => [1,4,1]
[1,4,2,4,4,3] => [1,3,6,2,4,5] => 10000 => [1,5]
[1,4,3,2,4,4] => [1,4,3,2,5,6] => 10011 => [1,3,1,1]
[1,4,3,4,2,4] => [1,5,3,2,4,6] => 10001 => [1,4,1]
[1,4,3,4,4,2] => [1,6,3,2,4,5] => 10000 => [1,5]
[1,4,4,2,3,4] => [1,4,5,2,3,6] => 10001 => [1,4,1]
[1,4,4,2,4,3] => [1,4,6,2,3,5] => 10000 => [1,5]
[1,4,4,3,2,4] => [1,5,4,2,3,6] => 10001 => [1,4,1]
[1,4,4,3,4,2] => [1,6,4,2,3,5] => 10000 => [1,5]
[1,4,4,4,2,3] => [1,5,6,2,3,4] => 10000 => [1,5]
[1,4,4,4,3,2] => [1,6,5,2,3,4] => 10000 => [1,5]
[2,1,3,4,4,4] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,4,3,4,4] => [2,1,4,3,5,6] => 01011 => [2,2,1,1]
[2,1,4,4,3,4] => [2,1,5,3,4,6] => 01001 => [2,3,1]
[2,1,4,4,4,3] => [2,1,6,3,4,5] => 01000 => [2,4]
[2,3,1,4,4,4] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,3,4,1,4,4] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,3,4,4,1,4] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,3,4,4,4,1] => [6,1,2,3,4,5] => 00000 => [6]
[2,4,1,3,4,4] => [3,1,4,2,5,6] => 00011 => [4,1,1]
[2,4,1,4,3,4] => [3,1,5,2,4,6] => 00001 => [5,1]
[2,4,1,4,4,3] => [3,1,6,2,4,5] => 00000 => [6]
[2,4,3,1,4,4] => [4,1,3,2,5,6] => 00011 => [4,1,1]
[2,4,3,4,1,4] => [5,1,3,2,4,6] => 00001 => [5,1]
[2,4,3,4,4,1] => [6,1,3,2,4,5] => 00000 => [6]
[2,4,4,1,3,4] => [4,1,5,2,3,6] => 00001 => [5,1]
[2,4,4,1,4,3] => [4,1,6,2,3,5] => 00000 => [6]
[2,4,4,3,1,4] => [5,1,4,2,3,6] => 00001 => [5,1]
[2,4,4,3,4,1] => [6,1,4,2,3,5] => 00000 => [6]
[2,4,4,4,1,3] => [5,1,6,2,3,4] => 00000 => [6]
[2,4,4,4,3,1] => [6,1,5,2,3,4] => 00000 => [6]
[3,1,2,4,4,4] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,4,2,4,4] => [2,4,1,3,5,6] => 00011 => [4,1,1]
[3,1,4,4,2,4] => [2,5,1,3,4,6] => 00001 => [5,1]
[3,1,4,4,4,2] => [2,6,1,3,4,5] => 00000 => [6]
[3,2,1,4,4,4] => [3,2,1,4,5,6] => 00111 => [3,1,1,1]
[3,2,4,1,4,4] => [4,2,1,3,5,6] => 00011 => [4,1,1]
[3,2,4,4,1,4] => [5,2,1,3,4,6] => 00001 => [5,1]
[3,2,4,4,4,1] => [6,2,1,3,4,5] => 00000 => [6]
[3,4,1,2,4,4] => [3,4,1,2,5,6] => 00011 => [4,1,1]
[3,4,1,4,2,4] => [3,5,1,2,4,6] => 00001 => [5,1]
[3,4,1,4,4,2] => [3,6,1,2,4,5] => 00000 => [6]
[3,4,2,1,4,4] => [4,3,1,2,5,6] => 00011 => [4,1,1]
[3,4,2,4,1,4] => [5,3,1,2,4,6] => 00001 => [5,1]
[3,4,2,4,4,1] => [6,3,1,2,4,5] => 00000 => [6]
[3,4,4,1,2,4] => [4,5,1,2,3,6] => 00001 => [5,1]
[3,4,4,1,4,2] => [4,6,1,2,3,5] => 00000 => [6]
[3,4,4,2,1,4] => [5,4,1,2,3,6] => 00001 => [5,1]
[3,4,4,2,4,1] => [6,4,1,2,3,5] => 00000 => [6]
[3,4,4,4,1,2] => [5,6,1,2,3,4] => 00000 => [6]
[3,4,4,4,2,1] => [6,5,1,2,3,4] => 00000 => [6]
[4,1,2,3,4,4] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,2,4,3,4] => [2,3,5,1,4,6] => 00001 => [5,1]
[4,1,2,4,4,3] => [2,3,6,1,4,5] => 00000 => [6]
[4,1,3,2,4,4] => [2,4,3,1,5,6] => 00011 => [4,1,1]
[4,1,3,4,2,4] => [2,5,3,1,4,6] => 00001 => [5,1]
[4,1,3,4,4,2] => [2,6,3,1,4,5] => 00000 => [6]
[4,1,4,2,3,4] => [2,4,5,1,3,6] => 00001 => [5,1]
[4,1,4,2,4,3] => [2,4,6,1,3,5] => 00000 => [6]
[4,1,4,3,2,4] => [2,5,4,1,3,6] => 00001 => [5,1]
[4,1,4,3,4,2] => [2,6,4,1,3,5] => 00000 => [6]
[4,1,4,4,2,3] => [2,5,6,1,3,4] => 00000 => [6]
[4,1,4,4,3,2] => [2,6,5,1,3,4] => 00000 => [6]
[4,2,1,3,4,4] => [3,2,4,1,5,6] => 00011 => [4,1,1]
[4,2,1,4,3,4] => [3,2,5,1,4,6] => 00001 => [5,1]
[4,2,1,4,4,3] => [3,2,6,1,4,5] => 00000 => [6]
[4,2,3,1,4,4] => [4,2,3,1,5,6] => 00011 => [4,1,1]
[4,2,3,4,1,4] => [5,2,3,1,4,6] => 00001 => [5,1]
[4,2,3,4,4,1] => [6,2,3,1,4,5] => 00000 => [6]
[4,2,4,1,3,4] => [4,2,5,1,3,6] => 00001 => [5,1]
[4,2,4,1,4,3] => [4,2,6,1,3,5] => 00000 => [6]
[4,2,4,3,1,4] => [5,2,4,1,3,6] => 00001 => [5,1]
[4,2,4,3,4,1] => [6,2,4,1,3,5] => 00000 => [6]
[4,2,4,4,1,3] => [5,2,6,1,3,4] => 00000 => [6]
[4,2,4,4,3,1] => [6,2,5,1,3,4] => 00000 => [6]
[4,3,1,2,4,4] => [3,4,2,1,5,6] => 00011 => [4,1,1]
[4,3,1,4,2,4] => [3,5,2,1,4,6] => 00001 => [5,1]
[4,3,1,4,4,2] => [3,6,2,1,4,5] => 00000 => [6]
[4,3,2,1,4,4] => [4,3,2,1,5,6] => 00011 => [4,1,1]
[4,3,2,4,1,4] => [5,3,2,1,4,6] => 00001 => [5,1]
[4,3,2,4,4,1] => [6,3,2,1,4,5] => 00000 => [6]
[4,3,4,1,2,4] => [4,5,2,1,3,6] => 00001 => [5,1]
[4,3,4,1,4,2] => [4,6,2,1,3,5] => 00000 => [6]
[4,3,4,2,1,4] => [5,4,2,1,3,6] => 00001 => [5,1]
[4,3,4,2,4,1] => [6,4,2,1,3,5] => 00000 => [6]
[4,3,4,4,1,2] => [5,6,2,1,3,4] => 00000 => [6]
[4,3,4,4,2,1] => [6,5,2,1,3,4] => 00000 => [6]
[4,4,1,2,3,4] => [3,4,5,1,2,6] => 00001 => [5,1]
[4,4,1,2,4,3] => [3,4,6,1,2,5] => 00000 => [6]
[4,4,1,3,2,4] => [3,5,4,1,2,6] => 00001 => [5,1]
[4,4,1,3,4,2] => [3,6,4,1,2,5] => 00000 => [6]
[4,4,1,4,2,3] => [3,5,6,1,2,4] => 00000 => [6]
[4,4,1,4,3,2] => [3,6,5,1,2,4] => 00000 => [6]
[4,4,2,1,3,4] => [4,3,5,1,2,6] => 00001 => [5,1]
[4,4,2,1,4,3] => [4,3,6,1,2,5] => 00000 => [6]
[4,4,2,3,1,4] => [5,3,4,1,2,6] => 00001 => [5,1]
[4,4,2,3,4,1] => [6,3,4,1,2,5] => 00000 => [6]
[4,4,2,4,1,3] => [5,3,6,1,2,4] => 00000 => [6]
[4,4,2,4,3,1] => [6,3,5,1,2,4] => 00000 => [6]
[4,4,3,1,2,4] => [4,5,3,1,2,6] => 00001 => [5,1]
[4,4,3,1,4,2] => [4,6,3,1,2,5] => 00000 => [6]
[4,4,3,2,1,4] => [5,4,3,1,2,6] => 00001 => [5,1]
[4,4,3,2,4,1] => [6,4,3,1,2,5] => 00000 => [6]
[4,4,3,4,1,2] => [5,6,3,1,2,4] => 00000 => [6]
[4,4,3,4,2,1] => [6,5,3,1,2,4] => 00000 => [6]
[4,4,4,1,2,3] => [4,5,6,1,2,3] => 00000 => [6]
[4,4,4,1,3,2] => [4,6,5,1,2,3] => 00000 => [6]
[4,4,4,2,1,3] => [5,4,6,1,2,3] => 00000 => [6]
[4,4,4,2,3,1] => [6,4,5,1,2,3] => 00000 => [6]
[4,4,4,3,1,2] => [5,6,4,1,2,3] => 00000 => [6]
[4,4,4,3,2,1] => [6,5,4,1,2,3] => 00000 => [6]
[1,2,3,4,4,5] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,3,4,5,4] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,3,5,4,4] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,2,4,3,4,5] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,2,4,3,5,4] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,2,4,4,3,5] => [1,2,5,3,4,6] => 11001 => [1,1,3,1]
[1,2,4,4,5,3] => [1,2,6,3,4,5] => 11000 => [1,1,4]
[1,2,4,5,3,4] => [1,2,5,3,4,6] => 11001 => [1,1,3,1]
[1,2,4,5,4,3] => [1,2,6,3,4,5] => 11000 => [1,1,4]
[1,2,5,3,4,4] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,2,5,4,3,4] => [1,2,5,4,3,6] => 11001 => [1,1,3,1]
[1,2,5,4,4,3] => [1,2,6,4,3,5] => 11000 => [1,1,4]
[1,3,2,4,4,5] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,2,4,5,4] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,2,5,4,4] => [1,3,2,5,4,6] => 10101 => [1,2,2,1]
[1,3,4,2,4,5] => [1,4,2,3,5,6] => 10011 => [1,3,1,1]
[1,3,4,2,5,4] => [1,4,2,3,5,6] => 10011 => [1,3,1,1]
[1,3,4,4,2,5] => [1,5,2,3,4,6] => 10001 => [1,4,1]
[1,3,4,4,5,2] => [1,6,2,3,4,5] => 10000 => [1,5]
[1,3,4,5,2,4] => [1,5,2,3,4,6] => 10001 => [1,4,1]
[1,3,4,5,4,2] => [1,6,2,3,4,5] => 10000 => [1,5]
[1,3,5,2,4,4] => [1,4,2,5,3,6] => 10001 => [1,4,1]
[1,3,5,4,2,4] => [1,5,2,4,3,6] => 10001 => [1,4,1]
[1,3,5,4,4,2] => [1,6,2,4,3,5] => 10000 => [1,5]
[1,4,2,3,4,5] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,2,3,5,4] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,2,4,3,5] => [1,3,5,2,4,6] => 10001 => [1,4,1]
[1,4,2,4,5,3] => [1,3,6,2,4,5] => 10000 => [1,5]
[1,4,2,5,3,4] => [1,3,5,2,4,6] => 10001 => [1,4,1]
[1,4,2,5,4,3] => [1,3,6,2,4,5] => 10000 => [1,5]
[1,4,3,2,4,5] => [1,4,3,2,5,6] => 10011 => [1,3,1,1]
[1,4,3,2,5,4] => [1,4,3,2,5,6] => 10011 => [1,3,1,1]
[1,4,3,4,2,5] => [1,5,3,2,4,6] => 10001 => [1,4,1]
[1,4,3,4,5,2] => [1,6,3,2,4,5] => 10000 => [1,5]
[1,4,3,5,2,4] => [1,5,3,2,4,6] => 10001 => [1,4,1]
[1,4,3,5,4,2] => [1,6,3,2,4,5] => 10000 => [1,5]
[1,4,4,2,3,5] => [1,4,5,2,3,6] => 10001 => [1,4,1]
[1,4,4,2,5,3] => [1,4,6,2,3,5] => 10000 => [1,5]
[1,4,4,3,2,5] => [1,5,4,2,3,6] => 10001 => [1,4,1]
[1,4,4,3,5,2] => [1,6,4,2,3,5] => 10000 => [1,5]
[1,4,4,5,2,3] => [1,5,6,2,3,4] => 10000 => [1,5]
[1,4,4,5,3,2] => [1,6,5,2,3,4] => 10000 => [1,5]
[1,4,5,2,3,4] => [1,4,5,2,3,6] => 10001 => [1,4,1]
[1,4,5,2,4,3] => [1,4,6,2,3,5] => 10000 => [1,5]
[1,4,5,3,2,4] => [1,5,4,2,3,6] => 10001 => [1,4,1]
[1,4,5,3,4,2] => [1,6,4,2,3,5] => 10000 => [1,5]
[1,4,5,4,2,3] => [1,5,6,2,3,4] => 10000 => [1,5]
[1,4,5,4,3,2] => [1,6,5,2,3,4] => 10000 => [1,5]
[1,5,2,3,4,4] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,2,4,3,4] => [1,3,5,4,2,6] => 10001 => [1,4,1]
[1,5,2,4,4,3] => [1,3,6,4,2,5] => 10000 => [1,5]
[1,5,3,2,4,4] => [1,4,3,5,2,6] => 10001 => [1,4,1]
[1,5,3,4,2,4] => [1,5,3,4,2,6] => 10001 => [1,4,1]
[1,5,3,4,4,2] => [1,6,3,4,2,5] => 10000 => [1,5]
[1,5,4,2,3,4] => [1,4,5,3,2,6] => 10001 => [1,4,1]
[1,5,4,2,4,3] => [1,4,6,3,2,5] => 10000 => [1,5]
[1,5,4,3,2,4] => [1,5,4,3,2,6] => 10001 => [1,4,1]
[1,5,4,3,4,2] => [1,6,4,3,2,5] => 10000 => [1,5]
[1,5,4,4,2,3] => [1,5,6,3,2,4] => 10000 => [1,5]
[1,5,4,4,3,2] => [1,6,5,3,2,4] => 10000 => [1,5]
[2,1,3,4,4,5] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,3,4,5,4] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,3,5,4,4] => [2,1,3,5,4,6] => 01101 => [2,1,2,1]
[2,1,4,3,4,5] => [2,1,4,3,5,6] => 01011 => [2,2,1,1]
[2,1,4,3,5,4] => [2,1,4,3,5,6] => 01011 => [2,2,1,1]
[2,1,4,4,3,5] => [2,1,5,3,4,6] => 01001 => [2,3,1]
[2,1,4,4,5,3] => [2,1,6,3,4,5] => 01000 => [2,4]
[2,1,4,5,3,4] => [2,1,5,3,4,6] => 01001 => [2,3,1]
[2,1,4,5,4,3] => [2,1,6,3,4,5] => 01000 => [2,4]
[2,1,5,3,4,4] => [2,1,4,5,3,6] => 01001 => [2,3,1]
[2,1,5,4,3,4] => [2,1,5,4,3,6] => 01001 => [2,3,1]
[2,1,5,4,4,3] => [2,1,6,4,3,5] => 01000 => [2,4]
[2,3,1,4,4,5] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,3,1,4,5,4] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,3,1,5,4,4] => [3,1,2,5,4,6] => 00101 => [3,2,1]
[2,3,4,1,4,5] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,3,4,1,5,4] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,3,4,4,1,5] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,3,4,4,5,1] => [6,1,2,3,4,5] => 00000 => [6]
[2,3,4,5,1,4] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,3,4,5,4,1] => [6,1,2,3,4,5] => 00000 => [6]
[2,3,5,1,4,4] => [4,1,2,5,3,6] => 00001 => [5,1]
[2,3,5,4,1,4] => [5,1,2,4,3,6] => 00001 => [5,1]
[2,3,5,4,4,1] => [6,1,2,4,3,5] => 00000 => [6]
[2,4,1,3,4,5] => [3,1,4,2,5,6] => 00011 => [4,1,1]
[2,4,1,3,5,4] => [3,1,4,2,5,6] => 00011 => [4,1,1]
[2,4,1,4,3,5] => [3,1,5,2,4,6] => 00001 => [5,1]
[2,4,1,4,5,3] => [3,1,6,2,4,5] => 00000 => [6]
[2,4,1,5,3,4] => [3,1,5,2,4,6] => 00001 => [5,1]
[2,4,1,5,4,3] => [3,1,6,2,4,5] => 00000 => [6]
[2,4,3,1,4,5] => [4,1,3,2,5,6] => 00011 => [4,1,1]
[2,4,3,1,5,4] => [4,1,3,2,5,6] => 00011 => [4,1,1]
[2,4,3,4,1,5] => [5,1,3,2,4,6] => 00001 => [5,1]
[2,4,3,4,5,1] => [6,1,3,2,4,5] => 00000 => [6]
[2,4,3,5,1,4] => [5,1,3,2,4,6] => 00001 => [5,1]
[2,4,3,5,4,1] => [6,1,3,2,4,5] => 00000 => [6]
[2,4,4,1,3,5] => [4,1,5,2,3,6] => 00001 => [5,1]
[2,4,4,1,5,3] => [4,1,6,2,3,5] => 00000 => [6]
[2,4,4,3,1,5] => [5,1,4,2,3,6] => 00001 => [5,1]
[2,4,4,3,5,1] => [6,1,4,2,3,5] => 00000 => [6]
[2,4,4,5,1,3] => [5,1,6,2,3,4] => 00000 => [6]
[2,4,4,5,3,1] => [6,1,5,2,3,4] => 00000 => [6]
[2,4,5,1,3,4] => [4,1,5,2,3,6] => 00001 => [5,1]
[2,4,5,1,4,3] => [4,1,6,2,3,5] => 00000 => [6]
[2,4,5,3,1,4] => [5,1,4,2,3,6] => 00001 => [5,1]
[2,4,5,3,4,1] => [6,1,4,2,3,5] => 00000 => [6]
[2,4,5,4,1,3] => [5,1,6,2,3,4] => 00000 => [6]
[2,4,5,4,3,1] => [6,1,5,2,3,4] => 00000 => [6]
[2,5,1,3,4,4] => [3,1,4,5,2,6] => 00001 => [5,1]
[2,5,1,4,3,4] => [3,1,5,4,2,6] => 00001 => [5,1]
[2,5,1,4,4,3] => [3,1,6,4,2,5] => 00000 => [6]
[2,5,3,1,4,4] => [4,1,3,5,2,6] => 00001 => [5,1]
[2,5,3,4,1,4] => [5,1,3,4,2,6] => 00001 => [5,1]
[2,5,3,4,4,1] => [6,1,3,4,2,5] => 00000 => [6]
[2,5,4,1,3,4] => [4,1,5,3,2,6] => 00001 => [5,1]
[2,5,4,1,4,3] => [4,1,6,3,2,5] => 00000 => [6]
[2,5,4,3,1,4] => [5,1,4,3,2,6] => 00001 => [5,1]
[2,5,4,3,4,1] => [6,1,4,3,2,5] => 00000 => [6]
[2,5,4,4,1,3] => [5,1,6,3,2,4] => 00000 => [6]
[2,5,4,4,3,1] => [6,1,5,3,2,4] => 00000 => [6]
[3,1,2,4,4,5] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,2,4,5,4] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,2,5,4,4] => [2,3,1,5,4,6] => 00101 => [3,2,1]
[3,1,4,2,4,5] => [2,4,1,3,5,6] => 00011 => [4,1,1]
[3,1,4,2,5,4] => [2,4,1,3,5,6] => 00011 => [4,1,1]
[3,1,4,4,2,5] => [2,5,1,3,4,6] => 00001 => [5,1]
[3,1,4,4,5,2] => [2,6,1,3,4,5] => 00000 => [6]
[3,1,4,5,2,4] => [2,5,1,3,4,6] => 00001 => [5,1]
[3,1,4,5,4,2] => [2,6,1,3,4,5] => 00000 => [6]
[3,1,5,2,4,4] => [2,4,1,5,3,6] => 00001 => [5,1]
[3,1,5,4,2,4] => [2,5,1,4,3,6] => 00001 => [5,1]
[3,1,5,4,4,2] => [2,6,1,4,3,5] => 00000 => [6]
[3,2,1,4,4,5] => [3,2,1,4,5,6] => 00111 => [3,1,1,1]
[3,2,1,4,5,4] => [3,2,1,4,5,6] => 00111 => [3,1,1,1]
[3,2,1,5,4,4] => [3,2,1,5,4,6] => 00101 => [3,2,1]
[3,2,4,1,4,5] => [4,2,1,3,5,6] => 00011 => [4,1,1]
[3,2,4,1,5,4] => [4,2,1,3,5,6] => 00011 => [4,1,1]
[3,2,4,4,1,5] => [5,2,1,3,4,6] => 00001 => [5,1]
[3,2,4,4,5,1] => [6,2,1,3,4,5] => 00000 => [6]
[3,2,4,5,1,4] => [5,2,1,3,4,6] => 00001 => [5,1]
[3,2,4,5,4,1] => [6,2,1,3,4,5] => 00000 => [6]
[3,2,5,1,4,4] => [4,2,1,5,3,6] => 00001 => [5,1]
[3,2,5,4,1,4] => [5,2,1,4,3,6] => 00001 => [5,1]
[3,2,5,4,4,1] => [6,2,1,4,3,5] => 00000 => [6]
[3,4,1,2,4,5] => [3,4,1,2,5,6] => 00011 => [4,1,1]
[3,4,1,2,5,4] => [3,4,1,2,5,6] => 00011 => [4,1,1]
[3,4,1,4,2,5] => [3,5,1,2,4,6] => 00001 => [5,1]
[3,4,1,4,5,2] => [3,6,1,2,4,5] => 00000 => [6]
[3,4,1,5,2,4] => [3,5,1,2,4,6] => 00001 => [5,1]
[3,4,1,5,4,2] => [3,6,1,2,4,5] => 00000 => [6]
[3,4,2,1,4,5] => [4,3,1,2,5,6] => 00011 => [4,1,1]
[3,4,2,1,5,4] => [4,3,1,2,5,6] => 00011 => [4,1,1]
[3,4,2,4,1,5] => [5,3,1,2,4,6] => 00001 => [5,1]
[3,4,2,4,5,1] => [6,3,1,2,4,5] => 00000 => [6]
[3,4,2,5,1,4] => [5,3,1,2,4,6] => 00001 => [5,1]
[3,4,2,5,4,1] => [6,3,1,2,4,5] => 00000 => [6]
[3,4,4,1,2,5] => [4,5,1,2,3,6] => 00001 => [5,1]
[3,4,4,1,5,2] => [4,6,1,2,3,5] => 00000 => [6]
[3,4,4,2,1,5] => [5,4,1,2,3,6] => 00001 => [5,1]
[3,4,4,2,5,1] => [6,4,1,2,3,5] => 00000 => [6]
[3,4,4,5,1,2] => [5,6,1,2,3,4] => 00000 => [6]
[3,4,4,5,2,1] => [6,5,1,2,3,4] => 00000 => [6]
[3,4,5,1,2,4] => [4,5,1,2,3,6] => 00001 => [5,1]
[3,4,5,1,4,2] => [4,6,1,2,3,5] => 00000 => [6]
[3,4,5,2,1,4] => [5,4,1,2,3,6] => 00001 => [5,1]
[3,4,5,2,4,1] => [6,4,1,2,3,5] => 00000 => [6]
[3,4,5,4,1,2] => [5,6,1,2,3,4] => 00000 => [6]
[3,4,5,4,2,1] => [6,5,1,2,3,4] => 00000 => [6]
[3,5,1,2,4,4] => [3,4,1,5,2,6] => 00001 => [5,1]
[3,5,1,4,2,4] => [3,5,1,4,2,6] => 00001 => [5,1]
[3,5,1,4,4,2] => [3,6,1,4,2,5] => 00000 => [6]
[3,5,2,1,4,4] => [4,3,1,5,2,6] => 00001 => [5,1]
[3,5,2,4,1,4] => [5,3,1,4,2,6] => 00001 => [5,1]
[3,5,2,4,4,1] => [6,3,1,4,2,5] => 00000 => [6]
[3,5,4,1,2,4] => [4,5,1,3,2,6] => 00001 => [5,1]
[3,5,4,1,4,2] => [4,6,1,3,2,5] => 00000 => [6]
[3,5,4,2,1,4] => [5,4,1,3,2,6] => 00001 => [5,1]
[3,5,4,2,4,1] => [6,4,1,3,2,5] => 00000 => [6]
[3,5,4,4,1,2] => [5,6,1,3,2,4] => 00000 => [6]
[3,5,4,4,2,1] => [6,5,1,3,2,4] => 00000 => [6]
[4,1,2,3,4,5] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,2,3,5,4] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,2,4,3,5] => [2,3,5,1,4,6] => 00001 => [5,1]
[4,1,2,4,5,3] => [2,3,6,1,4,5] => 00000 => [6]
[4,1,2,5,3,4] => [2,3,5,1,4,6] => 00001 => [5,1]
[4,1,2,5,4,3] => [2,3,6,1,4,5] => 00000 => [6]
[4,1,3,2,4,5] => [2,4,3,1,5,6] => 00011 => [4,1,1]
[4,1,3,2,5,4] => [2,4,3,1,5,6] => 00011 => [4,1,1]
[4,1,3,4,2,5] => [2,5,3,1,4,6] => 00001 => [5,1]
[4,1,3,4,5,2] => [2,6,3,1,4,5] => 00000 => [6]
[4,1,3,5,2,4] => [2,5,3,1,4,6] => 00001 => [5,1]
[4,1,3,5,4,2] => [2,6,3,1,4,5] => 00000 => [6]
[4,1,4,2,3,5] => [2,4,5,1,3,6] => 00001 => [5,1]
[4,1,4,2,5,3] => [2,4,6,1,3,5] => 00000 => [6]
[4,1,4,3,2,5] => [2,5,4,1,3,6] => 00001 => [5,1]
[4,1,4,3,5,2] => [2,6,4,1,3,5] => 00000 => [6]
[4,1,4,5,2,3] => [2,5,6,1,3,4] => 00000 => [6]
[4,1,4,5,3,2] => [2,6,5,1,3,4] => 00000 => [6]
[4,1,5,2,3,4] => [2,4,5,1,3,6] => 00001 => [5,1]
[4,1,5,2,4,3] => [2,4,6,1,3,5] => 00000 => [6]
[4,1,5,3,2,4] => [2,5,4,1,3,6] => 00001 => [5,1]
[4,1,5,3,4,2] => [2,6,4,1,3,5] => 00000 => [6]
[4,1,5,4,2,3] => [2,5,6,1,3,4] => 00000 => [6]
[4,1,5,4,3,2] => [2,6,5,1,3,4] => 00000 => [6]
[4,2,1,3,4,5] => [3,2,4,1,5,6] => 00011 => [4,1,1]
[4,2,1,3,5,4] => [3,2,4,1,5,6] => 00011 => [4,1,1]
[4,2,1,4,3,5] => [3,2,5,1,4,6] => 00001 => [5,1]
[4,2,1,4,5,3] => [3,2,6,1,4,5] => 00000 => [6]
[4,2,1,5,3,4] => [3,2,5,1,4,6] => 00001 => [5,1]
[4,2,1,5,4,3] => [3,2,6,1,4,5] => 00000 => [6]
[4,2,3,1,4,5] => [4,2,3,1,5,6] => 00011 => [4,1,1]
[4,2,3,1,5,4] => [4,2,3,1,5,6] => 00011 => [4,1,1]
[4,2,3,4,1,5] => [5,2,3,1,4,6] => 00001 => [5,1]
[4,2,3,4,5,1] => [6,2,3,1,4,5] => 00000 => [6]
[4,2,3,5,1,4] => [5,2,3,1,4,6] => 00001 => [5,1]
[4,2,3,5,4,1] => [6,2,3,1,4,5] => 00000 => [6]
[4,2,4,1,3,5] => [4,2,5,1,3,6] => 00001 => [5,1]
[4,2,4,1,5,3] => [4,2,6,1,3,5] => 00000 => [6]
[4,2,4,3,1,5] => [5,2,4,1,3,6] => 00001 => [5,1]
[4,2,4,3,5,1] => [6,2,4,1,3,5] => 00000 => [6]
[4,2,4,5,1,3] => [5,2,6,1,3,4] => 00000 => [6]
[4,2,4,5,3,1] => [6,2,5,1,3,4] => 00000 => [6]
[4,2,5,1,3,4] => [4,2,5,1,3,6] => 00001 => [5,1]
[4,2,5,1,4,3] => [4,2,6,1,3,5] => 00000 => [6]
[4,2,5,3,1,4] => [5,2,4,1,3,6] => 00001 => [5,1]
[4,2,5,3,4,1] => [6,2,4,1,3,5] => 00000 => [6]
[4,2,5,4,1,3] => [5,2,6,1,3,4] => 00000 => [6]
[4,2,5,4,3,1] => [6,2,5,1,3,4] => 00000 => [6]
[4,3,1,2,4,5] => [3,4,2,1,5,6] => 00011 => [4,1,1]
[4,3,1,2,5,4] => [3,4,2,1,5,6] => 00011 => [4,1,1]
[4,3,1,4,2,5] => [3,5,2,1,4,6] => 00001 => [5,1]
[4,3,1,4,5,2] => [3,6,2,1,4,5] => 00000 => [6]
[4,3,1,5,2,4] => [3,5,2,1,4,6] => 00001 => [5,1]
[4,3,1,5,4,2] => [3,6,2,1,4,5] => 00000 => [6]
[4,3,2,1,4,5] => [4,3,2,1,5,6] => 00011 => [4,1,1]
[4,3,2,1,5,4] => [4,3,2,1,5,6] => 00011 => [4,1,1]
[4,3,2,4,1,5] => [5,3,2,1,4,6] => 00001 => [5,1]
[4,3,2,4,5,1] => [6,3,2,1,4,5] => 00000 => [6]
[4,3,2,5,1,4] => [5,3,2,1,4,6] => 00001 => [5,1]
[4,3,2,5,4,1] => [6,3,2,1,4,5] => 00000 => [6]
[4,3,4,1,2,5] => [4,5,2,1,3,6] => 00001 => [5,1]
[4,3,4,1,5,2] => [4,6,2,1,3,5] => 00000 => [6]
[4,3,4,2,1,5] => [5,4,2,1,3,6] => 00001 => [5,1]
[4,3,4,2,5,1] => [6,4,2,1,3,5] => 00000 => [6]
[4,3,4,5,1,2] => [5,6,2,1,3,4] => 00000 => [6]
[4,3,4,5,2,1] => [6,5,2,1,3,4] => 00000 => [6]
[4,3,5,1,2,4] => [4,5,2,1,3,6] => 00001 => [5,1]
[4,3,5,1,4,2] => [4,6,2,1,3,5] => 00000 => [6]
[4,3,5,2,1,4] => [5,4,2,1,3,6] => 00001 => [5,1]
[4,3,5,2,4,1] => [6,4,2,1,3,5] => 00000 => [6]
[4,3,5,4,1,2] => [5,6,2,1,3,4] => 00000 => [6]
[4,3,5,4,2,1] => [6,5,2,1,3,4] => 00000 => [6]
[4,4,1,2,3,5] => [3,4,5,1,2,6] => 00001 => [5,1]
[4,4,1,2,5,3] => [3,4,6,1,2,5] => 00000 => [6]
[4,4,1,3,2,5] => [3,5,4,1,2,6] => 00001 => [5,1]
[4,4,1,3,5,2] => [3,6,4,1,2,5] => 00000 => [6]
[4,4,1,5,2,3] => [3,5,6,1,2,4] => 00000 => [6]
[4,4,1,5,3,2] => [3,6,5,1,2,4] => 00000 => [6]
[4,4,2,1,3,5] => [4,3,5,1,2,6] => 00001 => [5,1]
[4,4,2,1,5,3] => [4,3,6,1,2,5] => 00000 => [6]
[4,4,2,3,1,5] => [5,3,4,1,2,6] => 00001 => [5,1]
[4,4,2,3,5,1] => [6,3,4,1,2,5] => 00000 => [6]
[4,4,2,5,1,3] => [5,3,6,1,2,4] => 00000 => [6]
[4,4,2,5,3,1] => [6,3,5,1,2,4] => 00000 => [6]
[4,4,3,1,2,5] => [4,5,3,1,2,6] => 00001 => [5,1]
[4,4,3,1,5,2] => [4,6,3,1,2,5] => 00000 => [6]
[4,4,3,2,1,5] => [5,4,3,1,2,6] => 00001 => [5,1]
[4,4,3,2,5,1] => [6,4,3,1,2,5] => 00000 => [6]
[4,4,3,5,1,2] => [5,6,3,1,2,4] => 00000 => [6]
[4,4,3,5,2,1] => [6,5,3,1,2,4] => 00000 => [6]
[4,4,5,1,2,3] => [4,5,6,1,2,3] => 00000 => [6]
[4,4,5,1,3,2] => [4,6,5,1,2,3] => 00000 => [6]
[4,4,5,2,1,3] => [5,4,6,1,2,3] => 00000 => [6]
[4,4,5,2,3,1] => [6,4,5,1,2,3] => 00000 => [6]
[4,4,5,3,1,2] => [5,6,4,1,2,3] => 00000 => [6]
[4,4,5,3,2,1] => [6,5,4,1,2,3] => 00000 => [6]
[4,5,1,2,3,4] => [3,4,5,1,2,6] => 00001 => [5,1]
[4,5,1,2,4,3] => [3,4,6,1,2,5] => 00000 => [6]
[4,5,1,3,2,4] => [3,5,4,1,2,6] => 00001 => [5,1]
[4,5,1,3,4,2] => [3,6,4,1,2,5] => 00000 => [6]
[4,5,1,4,2,3] => [3,5,6,1,2,4] => 00000 => [6]
[4,5,1,4,3,2] => [3,6,5,1,2,4] => 00000 => [6]
[4,5,2,1,3,4] => [4,3,5,1,2,6] => 00001 => [5,1]
[4,5,2,1,4,3] => [4,3,6,1,2,5] => 00000 => [6]
[4,5,2,3,1,4] => [5,3,4,1,2,6] => 00001 => [5,1]
[4,5,2,3,4,1] => [6,3,4,1,2,5] => 00000 => [6]
[4,5,2,4,1,3] => [5,3,6,1,2,4] => 00000 => [6]
[4,5,2,4,3,1] => [6,3,5,1,2,4] => 00000 => [6]
[4,5,3,1,2,4] => [4,5,3,1,2,6] => 00001 => [5,1]
[4,5,3,1,4,2] => [4,6,3,1,2,5] => 00000 => [6]
[4,5,3,2,1,4] => [5,4,3,1,2,6] => 00001 => [5,1]
[4,5,3,2,4,1] => [6,4,3,1,2,5] => 00000 => [6]
[4,5,3,4,1,2] => [5,6,3,1,2,4] => 00000 => [6]
[4,5,3,4,2,1] => [6,5,3,1,2,4] => 00000 => [6]
[4,5,4,1,2,3] => [4,5,6,1,2,3] => 00000 => [6]
[4,5,4,1,3,2] => [4,6,5,1,2,3] => 00000 => [6]
[4,5,4,2,1,3] => [5,4,6,1,2,3] => 00000 => [6]
[4,5,4,2,3,1] => [6,4,5,1,2,3] => 00000 => [6]
[4,5,4,3,1,2] => [5,6,4,1,2,3] => 00000 => [6]
[4,5,4,3,2,1] => [6,5,4,1,2,3] => 00000 => [6]
[5,1,2,3,4,4] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,2,4,3,4] => [2,3,5,4,1,6] => 00001 => [5,1]
[5,1,2,4,4,3] => [2,3,6,4,1,5] => 00000 => [6]
[5,1,3,2,4,4] => [2,4,3,5,1,6] => 00001 => [5,1]
[5,1,3,4,2,4] => [2,5,3,4,1,6] => 00001 => [5,1]
[5,1,3,4,4,2] => [2,6,3,4,1,5] => 00000 => [6]
[5,1,4,2,3,4] => [2,4,5,3,1,6] => 00001 => [5,1]
[5,1,4,2,4,3] => [2,4,6,3,1,5] => 00000 => [6]
[5,1,4,3,2,4] => [2,5,4,3,1,6] => 00001 => [5,1]
[5,1,4,3,4,2] => [2,6,4,3,1,5] => 00000 => [6]
[5,1,4,4,2,3] => [2,5,6,3,1,4] => 00000 => [6]
[5,1,4,4,3,2] => [2,6,5,3,1,4] => 00000 => [6]
[5,2,1,3,4,4] => [3,2,4,5,1,6] => 00001 => [5,1]
[5,2,1,4,3,4] => [3,2,5,4,1,6] => 00001 => [5,1]
[5,2,1,4,4,3] => [3,2,6,4,1,5] => 00000 => [6]
[5,2,3,1,4,4] => [4,2,3,5,1,6] => 00001 => [5,1]
[5,2,3,4,1,4] => [5,2,3,4,1,6] => 00001 => [5,1]
[5,2,3,4,4,1] => [6,2,3,4,1,5] => 00000 => [6]
[5,2,4,1,3,4] => [4,2,5,3,1,6] => 00001 => [5,1]
[5,2,4,1,4,3] => [4,2,6,3,1,5] => 00000 => [6]
[5,2,4,3,1,4] => [5,2,4,3,1,6] => 00001 => [5,1]
[5,2,4,3,4,1] => [6,2,4,3,1,5] => 00000 => [6]
[5,2,4,4,1,3] => [5,2,6,3,1,4] => 00000 => [6]
[5,2,4,4,3,1] => [6,2,5,3,1,4] => 00000 => [6]
[5,3,1,2,4,4] => [3,4,2,5,1,6] => 00001 => [5,1]
[5,3,1,4,2,4] => [3,5,2,4,1,6] => 00001 => [5,1]
[5,3,1,4,4,2] => [3,6,2,4,1,5] => 00000 => [6]
[5,3,2,1,4,4] => [4,3,2,5,1,6] => 00001 => [5,1]
[5,3,2,4,1,4] => [5,3,2,4,1,6] => 00001 => [5,1]
[5,3,2,4,4,1] => [6,3,2,4,1,5] => 00000 => [6]
[5,3,4,1,2,4] => [4,5,2,3,1,6] => 00001 => [5,1]
[5,3,4,1,4,2] => [4,6,2,3,1,5] => 00000 => [6]
[5,3,4,2,1,4] => [5,4,2,3,1,6] => 00001 => [5,1]
[5,3,4,2,4,1] => [6,4,2,3,1,5] => 00000 => [6]
[5,3,4,4,1,2] => [5,6,2,3,1,4] => 00000 => [6]
[5,3,4,4,2,1] => [6,5,2,3,1,4] => 00000 => [6]
[5,4,1,2,3,4] => [3,4,5,2,1,6] => 00001 => [5,1]
[5,4,1,2,4,3] => [3,4,6,2,1,5] => 00000 => [6]
[5,4,1,3,2,4] => [3,5,4,2,1,6] => 00001 => [5,1]
[5,4,1,3,4,2] => [3,6,4,2,1,5] => 00000 => [6]
[5,4,1,4,2,3] => [3,5,6,2,1,4] => 00000 => [6]
[5,4,1,4,3,2] => [3,6,5,2,1,4] => 00000 => [6]
[5,4,2,1,3,4] => [4,3,5,2,1,6] => 00001 => [5,1]
[5,4,2,1,4,3] => [4,3,6,2,1,5] => 00000 => [6]
[5,4,2,3,1,4] => [5,3,4,2,1,6] => 00001 => [5,1]
[5,4,2,3,4,1] => [6,3,4,2,1,5] => 00000 => [6]
[5,4,2,4,1,3] => [5,3,6,2,1,4] => 00000 => [6]
[5,4,2,4,3,1] => [6,3,5,2,1,4] => 00000 => [6]
[5,4,3,1,2,4] => [4,5,3,2,1,6] => 00001 => [5,1]
[5,4,3,1,4,2] => [4,6,3,2,1,5] => 00000 => [6]
[5,4,3,2,1,4] => [5,4,3,2,1,6] => 00001 => [5,1]
[5,4,3,2,4,1] => [6,4,3,2,1,5] => 00000 => [6]
[5,4,3,4,1,2] => [5,6,3,2,1,4] => 00000 => [6]
[5,4,3,4,2,1] => [6,5,3,2,1,4] => 00000 => [6]
[5,4,4,1,2,3] => [4,5,6,2,1,3] => 00000 => [6]
[5,4,4,1,3,2] => [4,6,5,2,1,3] => 00000 => [6]
[5,4,4,2,1,3] => [5,4,6,2,1,3] => 00000 => [6]
[5,4,4,2,3,1] => [6,4,5,2,1,3] => 00000 => [6]
[5,4,4,3,1,2] => [5,6,4,2,1,3] => 00000 => [6]
[5,4,4,3,2,1] => [6,5,4,2,1,3] => 00000 => [6]
[1,2,3,4,4,6] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,3,4,6,4] => [1,2,3,4,6,5] => 11110 => [1,1,1,1,2]
[1,2,3,6,4,4] => [1,2,3,5,6,4] => 11100 => [1,1,1,3]
[1,2,4,3,4,6] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,2,4,3,6,4] => [1,2,4,3,6,5] => 11010 => [1,1,2,2]
[1,2,4,4,3,6] => [1,2,5,3,4,6] => 11001 => [1,1,3,1]
[1,2,4,4,6,3] => [1,2,6,3,4,5] => 11000 => [1,1,4]
[1,2,4,6,3,4] => [1,2,5,3,6,4] => 11000 => [1,1,4]
[1,2,4,6,4,3] => [1,2,6,3,5,4] => 11000 => [1,1,4]
[1,2,6,3,4,4] => [1,2,4,5,6,3] => 11000 => [1,1,4]
[1,2,6,4,3,4] => [1,2,5,4,6,3] => 11000 => [1,1,4]
[1,2,6,4,4,3] => [1,2,6,4,5,3] => 11000 => [1,1,4]
[1,3,2,4,4,6] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,2,4,6,4] => [1,3,2,4,6,5] => 10110 => [1,2,1,2]
[1,3,2,6,4,4] => [1,3,2,5,6,4] => 10100 => [1,2,3]
[1,3,4,2,4,6] => [1,4,2,3,5,6] => 10011 => [1,3,1,1]
[1,3,4,2,6,4] => [1,4,2,3,6,5] => 10010 => [1,3,2]
[1,3,4,4,2,6] => [1,5,2,3,4,6] => 10001 => [1,4,1]
[1,3,4,4,6,2] => [1,6,2,3,4,5] => 10000 => [1,5]
[1,3,4,6,2,4] => [1,5,2,3,6,4] => 10000 => [1,5]
[1,3,4,6,4,2] => [1,6,2,3,5,4] => 10000 => [1,5]
[1,3,6,2,4,4] => [1,4,2,5,6,3] => 10000 => [1,5]
[1,3,6,4,2,4] => [1,5,2,4,6,3] => 10000 => [1,5]
[1,3,6,4,4,2] => [1,6,2,4,5,3] => 10000 => [1,5]
[1,4,2,3,4,6] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,2,3,6,4] => [1,3,4,2,6,5] => 10010 => [1,3,2]
[1,4,2,4,3,6] => [1,3,5,2,4,6] => 10001 => [1,4,1]
[1,4,2,4,6,3] => [1,3,6,2,4,5] => 10000 => [1,5]
[1,4,2,6,3,4] => [1,3,5,2,6,4] => 10000 => [1,5]
[1,4,2,6,4,3] => [1,3,6,2,5,4] => 10000 => [1,5]
[1,4,3,2,4,6] => [1,4,3,2,5,6] => 10011 => [1,3,1,1]
[1,4,3,2,6,4] => [1,4,3,2,6,5] => 10010 => [1,3,2]
[1,4,3,4,2,6] => [1,5,3,2,4,6] => 10001 => [1,4,1]
[1,4,3,4,6,2] => [1,6,3,2,4,5] => 10000 => [1,5]
[1,4,3,6,2,4] => [1,5,3,2,6,4] => 10000 => [1,5]
[1,4,3,6,4,2] => [1,6,3,2,5,4] => 10000 => [1,5]
[1,4,4,2,3,6] => [1,4,5,2,3,6] => 10001 => [1,4,1]
[1,4,4,2,6,3] => [1,4,6,2,3,5] => 10000 => [1,5]
[1,4,4,3,2,6] => [1,5,4,2,3,6] => 10001 => [1,4,1]
[1,4,4,3,6,2] => [1,6,4,2,3,5] => 10000 => [1,5]
[1,4,4,6,2,3] => [1,5,6,2,3,4] => 10000 => [1,5]
[1,4,4,6,3,2] => [1,6,5,2,3,4] => 10000 => [1,5]
[1,4,6,2,3,4] => [1,4,5,2,6,3] => 10000 => [1,5]
[1,4,6,2,4,3] => [1,4,6,2,5,3] => 10000 => [1,5]
[1,4,6,3,2,4] => [1,5,4,2,6,3] => 10000 => [1,5]
[1,4,6,3,4,2] => [1,6,4,2,5,3] => 10000 => [1,5]
[1,4,6,4,2,3] => [1,5,6,2,4,3] => 10000 => [1,5]
[1,4,6,4,3,2] => [1,6,5,2,4,3] => 10000 => [1,5]
[1,6,2,3,4,4] => [1,3,4,5,6,2] => 10000 => [1,5]
[1,6,2,4,3,4] => [1,3,5,4,6,2] => 10000 => [1,5]
[1,6,2,4,4,3] => [1,3,6,4,5,2] => 10000 => [1,5]
[1,6,3,2,4,4] => [1,4,3,5,6,2] => 10000 => [1,5]
[1,6,3,4,2,4] => [1,5,3,4,6,2] => 10000 => [1,5]
[1,6,3,4,4,2] => [1,6,3,4,5,2] => 10000 => [1,5]
[1,6,4,2,3,4] => [1,4,5,3,6,2] => 10000 => [1,5]
[1,6,4,2,4,3] => [1,4,6,3,5,2] => 10000 => [1,5]
[1,6,4,3,2,4] => [1,5,4,3,6,2] => 10000 => [1,5]
[1,6,4,3,4,2] => [1,6,4,3,5,2] => 10000 => [1,5]
[1,6,4,4,2,3] => [1,5,6,3,4,2] => 10000 => [1,5]
[1,6,4,4,3,2] => [1,6,5,3,4,2] => 10000 => [1,5]
[2,1,3,4,4,6] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,3,4,6,4] => [2,1,3,4,6,5] => 01110 => [2,1,1,2]
[2,1,3,6,4,4] => [2,1,3,5,6,4] => 01100 => [2,1,3]
[2,1,4,3,4,6] => [2,1,4,3,5,6] => 01011 => [2,2,1,1]
[2,1,4,3,6,4] => [2,1,4,3,6,5] => 01010 => [2,2,2]
[2,1,4,4,3,6] => [2,1,5,3,4,6] => 01001 => [2,3,1]
[2,1,4,4,6,3] => [2,1,6,3,4,5] => 01000 => [2,4]
[2,1,4,6,3,4] => [2,1,5,3,6,4] => 01000 => [2,4]
[2,1,4,6,4,3] => [2,1,6,3,5,4] => 01000 => [2,4]
[2,1,6,3,4,4] => [2,1,4,5,6,3] => 01000 => [2,4]
[2,1,6,4,3,4] => [2,1,5,4,6,3] => 01000 => [2,4]
[2,1,6,4,4,3] => [2,1,6,4,5,3] => 01000 => [2,4]
[2,3,1,4,4,6] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,3,1,4,6,4] => [3,1,2,4,6,5] => 00110 => [3,1,2]
[2,3,1,6,4,4] => [3,1,2,5,6,4] => 00100 => [3,3]
[2,3,4,1,4,6] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,3,4,1,6,4] => [4,1,2,3,6,5] => 00010 => [4,2]
[2,3,4,4,1,6] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,3,4,4,6,1] => [6,1,2,3,4,5] => 00000 => [6]
[2,3,4,6,1,4] => [5,1,2,3,6,4] => 00000 => [6]
[2,3,4,6,4,1] => [6,1,2,3,5,4] => 00000 => [6]
[2,3,6,1,4,4] => [4,1,2,5,6,3] => 00000 => [6]
[2,3,6,4,1,4] => [5,1,2,4,6,3] => 00000 => [6]
[2,3,6,4,4,1] => [6,1,2,4,5,3] => 00000 => [6]
[2,4,1,3,4,6] => [3,1,4,2,5,6] => 00011 => [4,1,1]
[2,4,1,3,6,4] => [3,1,4,2,6,5] => 00010 => [4,2]
[2,4,1,4,3,6] => [3,1,5,2,4,6] => 00001 => [5,1]
[2,4,1,4,6,3] => [3,1,6,2,4,5] => 00000 => [6]
[2,4,1,6,3,4] => [3,1,5,2,6,4] => 00000 => [6]
[2,4,1,6,4,3] => [3,1,6,2,5,4] => 00000 => [6]
[2,4,3,1,4,6] => [4,1,3,2,5,6] => 00011 => [4,1,1]
[2,4,3,1,6,4] => [4,1,3,2,6,5] => 00010 => [4,2]
[2,4,3,4,1,6] => [5,1,3,2,4,6] => 00001 => [5,1]
[2,4,3,4,6,1] => [6,1,3,2,4,5] => 00000 => [6]
[2,4,3,6,1,4] => [5,1,3,2,6,4] => 00000 => [6]
[2,4,3,6,4,1] => [6,1,3,2,5,4] => 00000 => [6]
[2,4,4,1,3,6] => [4,1,5,2,3,6] => 00001 => [5,1]
[2,4,4,1,6,3] => [4,1,6,2,3,5] => 00000 => [6]
[2,4,4,3,1,6] => [5,1,4,2,3,6] => 00001 => [5,1]
[2,4,4,3,6,1] => [6,1,4,2,3,5] => 00000 => [6]
[2,4,4,6,1,3] => [5,1,6,2,3,4] => 00000 => [6]
[2,4,4,6,3,1] => [6,1,5,2,3,4] => 00000 => [6]
[2,4,6,1,3,4] => [4,1,5,2,6,3] => 00000 => [6]
[2,4,6,1,4,3] => [4,1,6,2,5,3] => 00000 => [6]
[2,4,6,3,1,4] => [5,1,4,2,6,3] => 00000 => [6]
[2,4,6,3,4,1] => [6,1,4,2,5,3] => 00000 => [6]
[2,4,6,4,1,3] => [5,1,6,2,4,3] => 00000 => [6]
[2,4,6,4,3,1] => [6,1,5,2,4,3] => 00000 => [6]
[2,6,1,3,4,4] => [3,1,4,5,6,2] => 00000 => [6]
[2,6,1,4,3,4] => [3,1,5,4,6,2] => 00000 => [6]
[2,6,1,4,4,3] => [3,1,6,4,5,2] => 00000 => [6]
[2,6,3,1,4,4] => [4,1,3,5,6,2] => 00000 => [6]
[2,6,3,4,1,4] => [5,1,3,4,6,2] => 00000 => [6]
[2,6,3,4,4,1] => [6,1,3,4,5,2] => 00000 => [6]
[2,6,4,1,3,4] => [4,1,5,3,6,2] => 00000 => [6]
[2,6,4,1,4,3] => [4,1,6,3,5,2] => 00000 => [6]
[2,6,4,3,1,4] => [5,1,4,3,6,2] => 00000 => [6]
[2,6,4,3,4,1] => [6,1,4,3,5,2] => 00000 => [6]
[2,6,4,4,1,3] => [5,1,6,3,4,2] => 00000 => [6]
[2,6,4,4,3,1] => [6,1,5,3,4,2] => 00000 => [6]
[3,1,2,4,4,6] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,2,4,6,4] => [2,3,1,4,6,5] => 00110 => [3,1,2]
[3,1,2,6,4,4] => [2,3,1,5,6,4] => 00100 => [3,3]
[3,1,4,2,4,6] => [2,4,1,3,5,6] => 00011 => [4,1,1]
[3,1,4,2,6,4] => [2,4,1,3,6,5] => 00010 => [4,2]
[3,1,4,4,2,6] => [2,5,1,3,4,6] => 00001 => [5,1]
[3,1,4,4,6,2] => [2,6,1,3,4,5] => 00000 => [6]
[3,1,4,6,2,4] => [2,5,1,3,6,4] => 00000 => [6]
[3,1,4,6,4,2] => [2,6,1,3,5,4] => 00000 => [6]
[3,1,6,2,4,4] => [2,4,1,5,6,3] => 00000 => [6]
[3,1,6,4,2,4] => [2,5,1,4,6,3] => 00000 => [6]
[3,1,6,4,4,2] => [2,6,1,4,5,3] => 00000 => [6]
[3,2,1,4,4,6] => [3,2,1,4,5,6] => 00111 => [3,1,1,1]
[3,2,1,4,6,4] => [3,2,1,4,6,5] => 00110 => [3,1,2]
[3,2,1,6,4,4] => [3,2,1,5,6,4] => 00100 => [3,3]
[3,2,4,1,4,6] => [4,2,1,3,5,6] => 00011 => [4,1,1]
[3,2,4,1,6,4] => [4,2,1,3,6,5] => 00010 => [4,2]
[3,2,4,4,1,6] => [5,2,1,3,4,6] => 00001 => [5,1]
[3,2,4,4,6,1] => [6,2,1,3,4,5] => 00000 => [6]
[3,2,4,6,1,4] => [5,2,1,3,6,4] => 00000 => [6]
[3,2,4,6,4,1] => [6,2,1,3,5,4] => 00000 => [6]
[3,2,6,1,4,4] => [4,2,1,5,6,3] => 00000 => [6]
[3,2,6,4,1,4] => [5,2,1,4,6,3] => 00000 => [6]
[3,2,6,4,4,1] => [6,2,1,4,5,3] => 00000 => [6]
[3,4,1,2,4,6] => [3,4,1,2,5,6] => 00011 => [4,1,1]
[3,4,1,2,6,4] => [3,4,1,2,6,5] => 00010 => [4,2]
[3,4,1,4,2,6] => [3,5,1,2,4,6] => 00001 => [5,1]
[3,4,1,4,6,2] => [3,6,1,2,4,5] => 00000 => [6]
[3,4,1,6,2,4] => [3,5,1,2,6,4] => 00000 => [6]
[3,4,1,6,4,2] => [3,6,1,2,5,4] => 00000 => [6]
[3,4,2,1,4,6] => [4,3,1,2,5,6] => 00011 => [4,1,1]
[3,4,2,1,6,4] => [4,3,1,2,6,5] => 00010 => [4,2]
[3,4,2,4,1,6] => [5,3,1,2,4,6] => 00001 => [5,1]
[3,4,2,4,6,1] => [6,3,1,2,4,5] => 00000 => [6]
[3,4,2,6,1,4] => [5,3,1,2,6,4] => 00000 => [6]
[3,4,2,6,4,1] => [6,3,1,2,5,4] => 00000 => [6]
[3,4,4,1,2,6] => [4,5,1,2,3,6] => 00001 => [5,1]
[3,4,4,1,6,2] => [4,6,1,2,3,5] => 00000 => [6]
[3,4,4,2,1,6] => [5,4,1,2,3,6] => 00001 => [5,1]
[3,4,4,2,6,1] => [6,4,1,2,3,5] => 00000 => [6]
[3,4,4,6,1,2] => [5,6,1,2,3,4] => 00000 => [6]
[3,4,4,6,2,1] => [6,5,1,2,3,4] => 00000 => [6]
[3,4,6,1,2,4] => [4,5,1,2,6,3] => 00000 => [6]
[3,4,6,1,4,2] => [4,6,1,2,5,3] => 00000 => [6]
[3,4,6,2,1,4] => [5,4,1,2,6,3] => 00000 => [6]
[3,4,6,2,4,1] => [6,4,1,2,5,3] => 00000 => [6]
[3,4,6,4,1,2] => [5,6,1,2,4,3] => 00000 => [6]
[3,4,6,4,2,1] => [6,5,1,2,4,3] => 00000 => [6]
[3,6,1,2,4,4] => [3,4,1,5,6,2] => 00000 => [6]
[3,6,1,4,2,4] => [3,5,1,4,6,2] => 00000 => [6]
[3,6,1,4,4,2] => [3,6,1,4,5,2] => 00000 => [6]
[3,6,2,1,4,4] => [4,3,1,5,6,2] => 00000 => [6]
[3,6,2,4,1,4] => [5,3,1,4,6,2] => 00000 => [6]
[3,6,2,4,4,1] => [6,3,1,4,5,2] => 00000 => [6]
[3,6,4,1,2,4] => [4,5,1,3,6,2] => 00000 => [6]
[3,6,4,1,4,2] => [4,6,1,3,5,2] => 00000 => [6]
[3,6,4,2,1,4] => [5,4,1,3,6,2] => 00000 => [6]
[3,6,4,2,4,1] => [6,4,1,3,5,2] => 00000 => [6]
[3,6,4,4,1,2] => [5,6,1,3,4,2] => 00000 => [6]
[3,6,4,4,2,1] => [6,5,1,3,4,2] => 00000 => [6]
[4,1,2,3,4,6] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,2,3,6,4] => [2,3,4,1,6,5] => 00010 => [4,2]
[4,1,2,4,3,6] => [2,3,5,1,4,6] => 00001 => [5,1]
[4,1,2,4,6,3] => [2,3,6,1,4,5] => 00000 => [6]
[4,1,2,6,3,4] => [2,3,5,1,6,4] => 00000 => [6]
[4,1,2,6,4,3] => [2,3,6,1,5,4] => 00000 => [6]
[4,1,3,2,4,6] => [2,4,3,1,5,6] => 00011 => [4,1,1]
[4,1,3,2,6,4] => [2,4,3,1,6,5] => 00010 => [4,2]
[4,1,3,4,2,6] => [2,5,3,1,4,6] => 00001 => [5,1]
[4,1,3,4,6,2] => [2,6,3,1,4,5] => 00000 => [6]
[4,1,3,6,2,4] => [2,5,3,1,6,4] => 00000 => [6]
[4,1,3,6,4,2] => [2,6,3,1,5,4] => 00000 => [6]
[4,1,4,2,3,6] => [2,4,5,1,3,6] => 00001 => [5,1]
[4,1,4,2,6,3] => [2,4,6,1,3,5] => 00000 => [6]
[4,1,4,3,2,6] => [2,5,4,1,3,6] => 00001 => [5,1]
[4,1,4,3,6,2] => [2,6,4,1,3,5] => 00000 => [6]
[4,1,4,6,2,3] => [2,5,6,1,3,4] => 00000 => [6]
[4,1,4,6,3,2] => [2,6,5,1,3,4] => 00000 => [6]
[4,1,6,2,3,4] => [2,4,5,1,6,3] => 00000 => [6]
[4,1,6,2,4,3] => [2,4,6,1,5,3] => 00000 => [6]
[4,1,6,3,2,4] => [2,5,4,1,6,3] => 00000 => [6]
[4,1,6,3,4,2] => [2,6,4,1,5,3] => 00000 => [6]
[4,1,6,4,2,3] => [2,5,6,1,4,3] => 00000 => [6]
[4,1,6,4,3,2] => [2,6,5,1,4,3] => 00000 => [6]
[4,2,1,3,4,6] => [3,2,4,1,5,6] => 00011 => [4,1,1]
[4,2,1,3,6,4] => [3,2,4,1,6,5] => 00010 => [4,2]
[4,2,1,4,3,6] => [3,2,5,1,4,6] => 00001 => [5,1]
[4,2,1,4,6,3] => [3,2,6,1,4,5] => 00000 => [6]
[4,2,1,6,3,4] => [3,2,5,1,6,4] => 00000 => [6]
[4,2,1,6,4,3] => [3,2,6,1,5,4] => 00000 => [6]
[4,2,3,1,4,6] => [4,2,3,1,5,6] => 00011 => [4,1,1]
[4,2,3,1,6,4] => [4,2,3,1,6,5] => 00010 => [4,2]
[4,2,3,4,1,6] => [5,2,3,1,4,6] => 00001 => [5,1]
[4,2,3,4,6,1] => [6,2,3,1,4,5] => 00000 => [6]
[4,2,3,6,1,4] => [5,2,3,1,6,4] => 00000 => [6]
[4,2,3,6,4,1] => [6,2,3,1,5,4] => 00000 => [6]
[4,2,4,1,3,6] => [4,2,5,1,3,6] => 00001 => [5,1]
[4,2,4,1,6,3] => [4,2,6,1,3,5] => 00000 => [6]
[4,2,4,3,1,6] => [5,2,4,1,3,6] => 00001 => [5,1]
[4,2,4,3,6,1] => [6,2,4,1,3,5] => 00000 => [6]
[4,2,4,6,1,3] => [5,2,6,1,3,4] => 00000 => [6]
[4,2,4,6,3,1] => [6,2,5,1,3,4] => 00000 => [6]
[4,2,6,1,3,4] => [4,2,5,1,6,3] => 00000 => [6]
[4,2,6,1,4,3] => [4,2,6,1,5,3] => 00000 => [6]
[4,2,6,3,1,4] => [5,2,4,1,6,3] => 00000 => [6]
[4,2,6,3,4,1] => [6,2,4,1,5,3] => 00000 => [6]
[4,2,6,4,1,3] => [5,2,6,1,4,3] => 00000 => [6]
[4,2,6,4,3,1] => [6,2,5,1,4,3] => 00000 => [6]
[4,3,1,2,4,6] => [3,4,2,1,5,6] => 00011 => [4,1,1]
[4,3,1,2,6,4] => [3,4,2,1,6,5] => 00010 => [4,2]
[4,3,1,4,2,6] => [3,5,2,1,4,6] => 00001 => [5,1]
[4,3,1,4,6,2] => [3,6,2,1,4,5] => 00000 => [6]
[4,3,1,6,2,4] => [3,5,2,1,6,4] => 00000 => [6]
[4,3,1,6,4,2] => [3,6,2,1,5,4] => 00000 => [6]
[4,3,2,1,4,6] => [4,3,2,1,5,6] => 00011 => [4,1,1]
[4,3,2,1,6,4] => [4,3,2,1,6,5] => 00010 => [4,2]
[4,3,2,4,1,6] => [5,3,2,1,4,6] => 00001 => [5,1]
[4,3,2,4,6,1] => [6,3,2,1,4,5] => 00000 => [6]
[4,3,2,6,1,4] => [5,3,2,1,6,4] => 00000 => [6]
[4,3,2,6,4,1] => [6,3,2,1,5,4] => 00000 => [6]
[4,3,4,1,2,6] => [4,5,2,1,3,6] => 00001 => [5,1]
[4,3,4,1,6,2] => [4,6,2,1,3,5] => 00000 => [6]
[4,3,4,2,1,6] => [5,4,2,1,3,6] => 00001 => [5,1]
[4,3,4,2,6,1] => [6,4,2,1,3,5] => 00000 => [6]
[4,3,4,6,1,2] => [5,6,2,1,3,4] => 00000 => [6]
[4,3,4,6,2,1] => [6,5,2,1,3,4] => 00000 => [6]
[4,3,6,1,2,4] => [4,5,2,1,6,3] => 00000 => [6]
[4,3,6,1,4,2] => [4,6,2,1,5,3] => 00000 => [6]
[4,3,6,2,1,4] => [5,4,2,1,6,3] => 00000 => [6]
[4,3,6,2,4,1] => [6,4,2,1,5,3] => 00000 => [6]
[4,3,6,4,1,2] => [5,6,2,1,4,3] => 00000 => [6]
[4,3,6,4,2,1] => [6,5,2,1,4,3] => 00000 => [6]
[4,4,1,2,3,6] => [3,4,5,1,2,6] => 00001 => [5,1]
[4,4,1,2,6,3] => [3,4,6,1,2,5] => 00000 => [6]
[4,4,1,3,2,6] => [3,5,4,1,2,6] => 00001 => [5,1]
[4,4,1,3,6,2] => [3,6,4,1,2,5] => 00000 => [6]
[4,4,1,6,2,3] => [3,5,6,1,2,4] => 00000 => [6]
[4,4,1,6,3,2] => [3,6,5,1,2,4] => 00000 => [6]
[4,4,2,1,3,6] => [4,3,5,1,2,6] => 00001 => [5,1]
[4,4,2,1,6,3] => [4,3,6,1,2,5] => 00000 => [6]
[4,4,2,3,1,6] => [5,3,4,1,2,6] => 00001 => [5,1]
[4,4,2,3,6,1] => [6,3,4,1,2,5] => 00000 => [6]
[4,4,2,6,1,3] => [5,3,6,1,2,4] => 00000 => [6]
[4,4,2,6,3,1] => [6,3,5,1,2,4] => 00000 => [6]
[4,4,3,1,2,6] => [4,5,3,1,2,6] => 00001 => [5,1]
[4,4,3,1,6,2] => [4,6,3,1,2,5] => 00000 => [6]
[4,4,3,2,1,6] => [5,4,3,1,2,6] => 00001 => [5,1]
[4,4,3,2,6,1] => [6,4,3,1,2,5] => 00000 => [6]
[4,4,3,6,1,2] => [5,6,3,1,2,4] => 00000 => [6]
[4,4,3,6,2,1] => [6,5,3,1,2,4] => 00000 => [6]
[4,4,6,1,2,3] => [4,5,6,1,2,3] => 00000 => [6]
[4,4,6,1,3,2] => [4,6,5,1,2,3] => 00000 => [6]
[4,4,6,2,1,3] => [5,4,6,1,2,3] => 00000 => [6]
[4,4,6,2,3,1] => [6,4,5,1,2,3] => 00000 => [6]
[4,4,6,3,1,2] => [5,6,4,1,2,3] => 00000 => [6]
[4,4,6,3,2,1] => [6,5,4,1,2,3] => 00000 => [6]
[4,6,1,2,3,4] => [3,4,5,1,6,2] => 00000 => [6]
[4,6,1,2,4,3] => [3,4,6,1,5,2] => 00000 => [6]
[4,6,1,3,2,4] => [3,5,4,1,6,2] => 00000 => [6]
[4,6,1,3,4,2] => [3,6,4,1,5,2] => 00000 => [6]
[4,6,1,4,2,3] => [3,5,6,1,4,2] => 00000 => [6]
[4,6,1,4,3,2] => [3,6,5,1,4,2] => 00000 => [6]
[4,6,2,1,3,4] => [4,3,5,1,6,2] => 00000 => [6]
[4,6,2,1,4,3] => [4,3,6,1,5,2] => 00000 => [6]
[4,6,2,3,1,4] => [5,3,4,1,6,2] => 00000 => [6]
[4,6,2,3,4,1] => [6,3,4,1,5,2] => 00000 => [6]
[4,6,2,4,1,3] => [5,3,6,1,4,2] => 00000 => [6]
[4,6,2,4,3,1] => [6,3,5,1,4,2] => 00000 => [6]
[4,6,3,1,2,4] => [4,5,3,1,6,2] => 00000 => [6]
[4,6,3,1,4,2] => [4,6,3,1,5,2] => 00000 => [6]
[4,6,3,2,1,4] => [5,4,3,1,6,2] => 00000 => [6]
[4,6,3,2,4,1] => [6,4,3,1,5,2] => 00000 => [6]
[4,6,3,4,1,2] => [5,6,3,1,4,2] => 00000 => [6]
[4,6,3,4,2,1] => [6,5,3,1,4,2] => 00000 => [6]
[4,6,4,1,2,3] => [4,5,6,1,3,2] => 00000 => [6]
[4,6,4,1,3,2] => [4,6,5,1,3,2] => 00000 => [6]
[4,6,4,2,1,3] => [5,4,6,1,3,2] => 00000 => [6]
[4,6,4,2,3,1] => [6,4,5,1,3,2] => 00000 => [6]
[4,6,4,3,1,2] => [5,6,4,1,3,2] => 00000 => [6]
[4,6,4,3,2,1] => [6,5,4,1,3,2] => 00000 => [6]
[6,1,2,3,4,4] => [2,3,4,5,6,1] => 00000 => [6]
[6,1,2,4,3,4] => [2,3,5,4,6,1] => 00000 => [6]
[6,1,2,4,4,3] => [2,3,6,4,5,1] => 00000 => [6]
[6,1,3,2,4,4] => [2,4,3,5,6,1] => 00000 => [6]
[6,1,3,4,2,4] => [2,5,3,4,6,1] => 00000 => [6]
[6,1,3,4,4,2] => [2,6,3,4,5,1] => 00000 => [6]
[6,1,4,2,3,4] => [2,4,5,3,6,1] => 00000 => [6]
[6,1,4,2,4,3] => [2,4,6,3,5,1] => 00000 => [6]
[6,1,4,3,2,4] => [2,5,4,3,6,1] => 00000 => [6]
[6,1,4,3,4,2] => [2,6,4,3,5,1] => 00000 => [6]
[6,1,4,4,2,3] => [2,5,6,3,4,1] => 00000 => [6]
[6,1,4,4,3,2] => [2,6,5,3,4,1] => 00000 => [6]
[6,2,1,3,4,4] => [3,2,4,5,6,1] => 00000 => [6]
[6,2,1,4,3,4] => [3,2,5,4,6,1] => 00000 => [6]
[6,2,1,4,4,3] => [3,2,6,4,5,1] => 00000 => [6]
[6,2,3,1,4,4] => [4,2,3,5,6,1] => 00000 => [6]
[6,2,3,4,1,4] => [5,2,3,4,6,1] => 00000 => [6]
[6,2,3,4,4,1] => [6,2,3,4,5,1] => 00000 => [6]
[6,2,4,1,3,4] => [4,2,5,3,6,1] => 00000 => [6]
[6,2,4,1,4,3] => [4,2,6,3,5,1] => 00000 => [6]
[6,2,4,3,1,4] => [5,2,4,3,6,1] => 00000 => [6]
[6,2,4,3,4,1] => [6,2,4,3,5,1] => 00000 => [6]
[6,2,4,4,1,3] => [5,2,6,3,4,1] => 00000 => [6]
[6,2,4,4,3,1] => [6,2,5,3,4,1] => 00000 => [6]
[6,3,1,2,4,4] => [3,4,2,5,6,1] => 00000 => [6]
[6,3,1,4,2,4] => [3,5,2,4,6,1] => 00000 => [6]
[6,3,1,4,4,2] => [3,6,2,4,5,1] => 00000 => [6]
[6,3,2,1,4,4] => [4,3,2,5,6,1] => 00000 => [6]
[6,3,2,4,1,4] => [5,3,2,4,6,1] => 00000 => [6]
[6,3,2,4,4,1] => [6,3,2,4,5,1] => 00000 => [6]
[6,3,4,1,2,4] => [4,5,2,3,6,1] => 00000 => [6]
[6,3,4,1,4,2] => [4,6,2,3,5,1] => 00000 => [6]
[6,3,4,2,1,4] => [5,4,2,3,6,1] => 00000 => [6]
[6,3,4,2,4,1] => [6,4,2,3,5,1] => 00000 => [6]
[6,3,4,4,1,2] => [5,6,2,3,4,1] => 00000 => [6]
[6,3,4,4,2,1] => [6,5,2,3,4,1] => 00000 => [6]
[6,4,1,2,3,4] => [3,4,5,2,6,1] => 00000 => [6]
[6,4,1,2,4,3] => [3,4,6,2,5,1] => 00000 => [6]
[6,4,1,3,2,4] => [3,5,4,2,6,1] => 00000 => [6]
[6,4,1,3,4,2] => [3,6,4,2,5,1] => 00000 => [6]
[6,4,1,4,2,3] => [3,5,6,2,4,1] => 00000 => [6]
[6,4,1,4,3,2] => [3,6,5,2,4,1] => 00000 => [6]
[6,4,2,1,3,4] => [4,3,5,2,6,1] => 00000 => [6]
[6,4,2,1,4,3] => [4,3,6,2,5,1] => 00000 => [6]
[6,4,2,3,1,4] => [5,3,4,2,6,1] => 00000 => [6]
[6,4,2,3,4,1] => [6,3,4,2,5,1] => 00000 => [6]
[6,4,2,4,1,3] => [5,3,6,2,4,1] => 00000 => [6]
[6,4,2,4,3,1] => [6,3,5,2,4,1] => 00000 => [6]
[6,4,3,1,2,4] => [4,5,3,2,6,1] => 00000 => [6]
[6,4,3,1,4,2] => [4,6,3,2,5,1] => 00000 => [6]
[6,4,3,2,1,4] => [5,4,3,2,6,1] => 00000 => [6]
[6,4,3,2,4,1] => [6,4,3,2,5,1] => 00000 => [6]
[6,4,3,4,1,2] => [5,6,3,2,4,1] => 00000 => [6]
[6,4,3,4,2,1] => [6,5,3,2,4,1] => 00000 => [6]
[6,4,4,1,2,3] => [4,5,6,2,3,1] => 00000 => [6]
[6,4,4,1,3,2] => [4,6,5,2,3,1] => 00000 => [6]
[6,4,4,2,1,3] => [5,4,6,2,3,1] => 00000 => [6]
[6,4,4,2,3,1] => [6,4,5,2,3,1] => 00000 => [6]
[6,4,4,3,1,2] => [5,6,4,2,3,1] => 00000 => [6]
[6,4,4,3,2,1] => [6,5,4,2,3,1] => 00000 => [6]
[1,2,3,4,5,5] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,3,5,4,5] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,2,3,5,5,4] => [1,2,3,6,4,5] => 11100 => [1,1,1,3]
[1,2,4,3,5,5] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,2,4,5,3,5] => [1,2,5,3,4,6] => 11001 => [1,1,3,1]
[1,2,4,5,5,3] => [1,2,6,3,4,5] => 11000 => [1,1,4]
[1,2,5,3,4,5] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,2,5,3,5,4] => [1,2,4,6,3,5] => 11000 => [1,1,4]
[1,2,5,4,3,5] => [1,2,5,4,3,6] => 11001 => [1,1,3,1]
[1,2,5,4,5,3] => [1,2,6,4,3,5] => 11000 => [1,1,4]
[1,2,5,5,3,4] => [1,2,5,6,3,4] => 11000 => [1,1,4]
[1,2,5,5,4,3] => [1,2,6,5,3,4] => 11000 => [1,1,4]
[1,3,2,4,5,5] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,2,5,4,5] => [1,3,2,5,4,6] => 10101 => [1,2,2,1]
[1,3,2,5,5,4] => [1,3,2,6,4,5] => 10100 => [1,2,3]
[1,3,4,2,5,5] => [1,4,2,3,5,6] => 10011 => [1,3,1,1]
[1,3,4,5,2,5] => [1,5,2,3,4,6] => 10001 => [1,4,1]
[1,3,4,5,5,2] => [1,6,2,3,4,5] => 10000 => [1,5]
[1,3,5,2,4,5] => [1,4,2,5,3,6] => 10001 => [1,4,1]
[1,3,5,2,5,4] => [1,4,2,6,3,5] => 10000 => [1,5]
[1,3,5,4,2,5] => [1,5,2,4,3,6] => 10001 => [1,4,1]
[1,3,5,4,5,2] => [1,6,2,4,3,5] => 10000 => [1,5]
[1,3,5,5,2,4] => [1,5,2,6,3,4] => 10000 => [1,5]
[1,3,5,5,4,2] => [1,6,2,5,3,4] => 10000 => [1,5]
[1,4,2,3,5,5] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,2,5,3,5] => [1,3,5,2,4,6] => 10001 => [1,4,1]
[1,4,2,5,5,3] => [1,3,6,2,4,5] => 10000 => [1,5]
[1,4,3,2,5,5] => [1,4,3,2,5,6] => 10011 => [1,3,1,1]
[1,4,3,5,2,5] => [1,5,3,2,4,6] => 10001 => [1,4,1]
[1,4,3,5,5,2] => [1,6,3,2,4,5] => 10000 => [1,5]
[1,4,5,2,3,5] => [1,4,5,2,3,6] => 10001 => [1,4,1]
[1,4,5,2,5,3] => [1,4,6,2,3,5] => 10000 => [1,5]
[1,4,5,3,2,5] => [1,5,4,2,3,6] => 10001 => [1,4,1]
[1,4,5,3,5,2] => [1,6,4,2,3,5] => 10000 => [1,5]
[1,4,5,5,2,3] => [1,5,6,2,3,4] => 10000 => [1,5]
[1,4,5,5,3,2] => [1,6,5,2,3,4] => 10000 => [1,5]
[1,5,2,3,4,5] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,2,3,5,4] => [1,3,4,6,2,5] => 10000 => [1,5]
[1,5,2,4,3,5] => [1,3,5,4,2,6] => 10001 => [1,4,1]
[1,5,2,4,5,3] => [1,3,6,4,2,5] => 10000 => [1,5]
[1,5,2,5,3,4] => [1,3,5,6,2,4] => 10000 => [1,5]
[1,5,2,5,4,3] => [1,3,6,5,2,4] => 10000 => [1,5]
[1,5,3,2,4,5] => [1,4,3,5,2,6] => 10001 => [1,4,1]
[1,5,3,2,5,4] => [1,4,3,6,2,5] => 10000 => [1,5]
[1,5,3,4,2,5] => [1,5,3,4,2,6] => 10001 => [1,4,1]
[1,5,3,4,5,2] => [1,6,3,4,2,5] => 10000 => [1,5]
[1,5,3,5,2,4] => [1,5,3,6,2,4] => 10000 => [1,5]
[1,5,3,5,4,2] => [1,6,3,5,2,4] => 10000 => [1,5]
[1,5,4,2,3,5] => [1,4,5,3,2,6] => 10001 => [1,4,1]
[1,5,4,2,5,3] => [1,4,6,3,2,5] => 10000 => [1,5]
[1,5,4,3,2,5] => [1,5,4,3,2,6] => 10001 => [1,4,1]
[1,5,4,3,5,2] => [1,6,4,3,2,5] => 10000 => [1,5]
[1,5,4,5,2,3] => [1,5,6,3,2,4] => 10000 => [1,5]
[1,5,4,5,3,2] => [1,6,5,3,2,4] => 10000 => [1,5]
[1,5,5,2,3,4] => [1,4,5,6,2,3] => 10000 => [1,5]
[1,5,5,2,4,3] => [1,4,6,5,2,3] => 10000 => [1,5]
[1,5,5,3,2,4] => [1,5,4,6,2,3] => 10000 => [1,5]
[1,5,5,3,4,2] => [1,6,4,5,2,3] => 10000 => [1,5]
[1,5,5,4,2,3] => [1,5,6,4,2,3] => 10000 => [1,5]
[1,5,5,4,3,2] => [1,6,5,4,2,3] => 10000 => [1,5]
[2,1,3,4,5,5] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,3,5,4,5] => [2,1,3,5,4,6] => 01101 => [2,1,2,1]
[2,1,3,5,5,4] => [2,1,3,6,4,5] => 01100 => [2,1,3]
[2,1,4,3,5,5] => [2,1,4,3,5,6] => 01011 => [2,2,1,1]
[2,1,4,5,3,5] => [2,1,5,3,4,6] => 01001 => [2,3,1]
[2,1,4,5,5,3] => [2,1,6,3,4,5] => 01000 => [2,4]
[2,1,5,3,4,5] => [2,1,4,5,3,6] => 01001 => [2,3,1]
[2,1,5,3,5,4] => [2,1,4,6,3,5] => 01000 => [2,4]
[2,1,5,4,3,5] => [2,1,5,4,3,6] => 01001 => [2,3,1]
[2,1,5,4,5,3] => [2,1,6,4,3,5] => 01000 => [2,4]
[2,1,5,5,3,4] => [2,1,5,6,3,4] => 01000 => [2,4]
[2,1,5,5,4,3] => [2,1,6,5,3,4] => 01000 => [2,4]
[2,3,1,4,5,5] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,3,1,5,4,5] => [3,1,2,5,4,6] => 00101 => [3,2,1]
[2,3,1,5,5,4] => [3,1,2,6,4,5] => 00100 => [3,3]
[2,3,4,1,5,5] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,3,4,5,1,5] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,3,4,5,5,1] => [6,1,2,3,4,5] => 00000 => [6]
[2,3,5,1,4,5] => [4,1,2,5,3,6] => 00001 => [5,1]
[2,3,5,1,5,4] => [4,1,2,6,3,5] => 00000 => [6]
[2,3,5,4,1,5] => [5,1,2,4,3,6] => 00001 => [5,1]
[2,3,5,4,5,1] => [6,1,2,4,3,5] => 00000 => [6]
[2,3,5,5,1,4] => [5,1,2,6,3,4] => 00000 => [6]
[2,3,5,5,4,1] => [6,1,2,5,3,4] => 00000 => [6]
[2,4,1,3,5,5] => [3,1,4,2,5,6] => 00011 => [4,1,1]
[2,4,1,5,3,5] => [3,1,5,2,4,6] => 00001 => [5,1]
[2,4,1,5,5,3] => [3,1,6,2,4,5] => 00000 => [6]
[2,4,3,1,5,5] => [4,1,3,2,5,6] => 00011 => [4,1,1]
[2,4,3,5,1,5] => [5,1,3,2,4,6] => 00001 => [5,1]
[2,4,3,5,5,1] => [6,1,3,2,4,5] => 00000 => [6]
[2,4,5,1,3,5] => [4,1,5,2,3,6] => 00001 => [5,1]
[2,4,5,1,5,3] => [4,1,6,2,3,5] => 00000 => [6]
[2,4,5,3,1,5] => [5,1,4,2,3,6] => 00001 => [5,1]
[2,4,5,3,5,1] => [6,1,4,2,3,5] => 00000 => [6]
[2,4,5,5,1,3] => [5,1,6,2,3,4] => 00000 => [6]
[2,4,5,5,3,1] => [6,1,5,2,3,4] => 00000 => [6]
[2,5,1,3,4,5] => [3,1,4,5,2,6] => 00001 => [5,1]
[2,5,1,3,5,4] => [3,1,4,6,2,5] => 00000 => [6]
[2,5,1,4,3,5] => [3,1,5,4,2,6] => 00001 => [5,1]
[2,5,1,4,5,3] => [3,1,6,4,2,5] => 00000 => [6]
[2,5,1,5,3,4] => [3,1,5,6,2,4] => 00000 => [6]
[2,5,1,5,4,3] => [3,1,6,5,2,4] => 00000 => [6]
[2,5,3,1,4,5] => [4,1,3,5,2,6] => 00001 => [5,1]
[2,5,3,1,5,4] => [4,1,3,6,2,5] => 00000 => [6]
[2,5,3,4,1,5] => [5,1,3,4,2,6] => 00001 => [5,1]
[2,5,3,4,5,1] => [6,1,3,4,2,5] => 00000 => [6]
[2,5,3,5,1,4] => [5,1,3,6,2,4] => 00000 => [6]
[2,5,3,5,4,1] => [6,1,3,5,2,4] => 00000 => [6]
[2,5,4,1,3,5] => [4,1,5,3,2,6] => 00001 => [5,1]
[2,5,4,1,5,3] => [4,1,6,3,2,5] => 00000 => [6]
[2,5,4,3,1,5] => [5,1,4,3,2,6] => 00001 => [5,1]
[2,5,4,3,5,1] => [6,1,4,3,2,5] => 00000 => [6]
[2,5,4,5,1,3] => [5,1,6,3,2,4] => 00000 => [6]
[2,5,4,5,3,1] => [6,1,5,3,2,4] => 00000 => [6]
[2,5,5,1,3,4] => [4,1,5,6,2,3] => 00000 => [6]
[2,5,5,1,4,3] => [4,1,6,5,2,3] => 00000 => [6]
[2,5,5,3,1,4] => [5,1,4,6,2,3] => 00000 => [6]
[2,5,5,3,4,1] => [6,1,4,5,2,3] => 00000 => [6]
[2,5,5,4,1,3] => [5,1,6,4,2,3] => 00000 => [6]
[2,5,5,4,3,1] => [6,1,5,4,2,3] => 00000 => [6]
[3,1,2,4,5,5] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,2,5,4,5] => [2,3,1,5,4,6] => 00101 => [3,2,1]
[3,1,2,5,5,4] => [2,3,1,6,4,5] => 00100 => [3,3]
[3,1,4,2,5,5] => [2,4,1,3,5,6] => 00011 => [4,1,1]
[3,1,4,5,2,5] => [2,5,1,3,4,6] => 00001 => [5,1]
[3,1,4,5,5,2] => [2,6,1,3,4,5] => 00000 => [6]
[3,1,5,2,4,5] => [2,4,1,5,3,6] => 00001 => [5,1]
[3,1,5,2,5,4] => [2,4,1,6,3,5] => 00000 => [6]
[3,1,5,4,2,5] => [2,5,1,4,3,6] => 00001 => [5,1]
[3,1,5,4,5,2] => [2,6,1,4,3,5] => 00000 => [6]
[3,1,5,5,2,4] => [2,5,1,6,3,4] => 00000 => [6]
[3,1,5,5,4,2] => [2,6,1,5,3,4] => 00000 => [6]
[3,2,1,4,5,5] => [3,2,1,4,5,6] => 00111 => [3,1,1,1]
[3,2,1,5,4,5] => [3,2,1,5,4,6] => 00101 => [3,2,1]
[3,2,1,5,5,4] => [3,2,1,6,4,5] => 00100 => [3,3]
[3,2,4,1,5,5] => [4,2,1,3,5,6] => 00011 => [4,1,1]
[3,2,4,5,1,5] => [5,2,1,3,4,6] => 00001 => [5,1]
[3,2,4,5,5,1] => [6,2,1,3,4,5] => 00000 => [6]
[3,2,5,1,4,5] => [4,2,1,5,3,6] => 00001 => [5,1]
[3,2,5,1,5,4] => [4,2,1,6,3,5] => 00000 => [6]
[3,2,5,4,1,5] => [5,2,1,4,3,6] => 00001 => [5,1]
[3,2,5,4,5,1] => [6,2,1,4,3,5] => 00000 => [6]
[3,2,5,5,1,4] => [5,2,1,6,3,4] => 00000 => [6]
[3,2,5,5,4,1] => [6,2,1,5,3,4] => 00000 => [6]
[3,4,1,2,5,5] => [3,4,1,2,5,6] => 00011 => [4,1,1]
[3,4,1,5,2,5] => [3,5,1,2,4,6] => 00001 => [5,1]
[3,4,1,5,5,2] => [3,6,1,2,4,5] => 00000 => [6]
[3,4,2,1,5,5] => [4,3,1,2,5,6] => 00011 => [4,1,1]
[3,4,2,5,1,5] => [5,3,1,2,4,6] => 00001 => [5,1]
[3,4,2,5,5,1] => [6,3,1,2,4,5] => 00000 => [6]
[3,4,5,1,2,5] => [4,5,1,2,3,6] => 00001 => [5,1]
[3,4,5,1,5,2] => [4,6,1,2,3,5] => 00000 => [6]
[3,4,5,2,1,5] => [5,4,1,2,3,6] => 00001 => [5,1]
[3,4,5,2,5,1] => [6,4,1,2,3,5] => 00000 => [6]
[3,4,5,5,1,2] => [5,6,1,2,3,4] => 00000 => [6]
[3,4,5,5,2,1] => [6,5,1,2,3,4] => 00000 => [6]
[3,5,1,2,4,5] => [3,4,1,5,2,6] => 00001 => [5,1]
[3,5,1,2,5,4] => [3,4,1,6,2,5] => 00000 => [6]
[3,5,1,4,2,5] => [3,5,1,4,2,6] => 00001 => [5,1]
[3,5,1,4,5,2] => [3,6,1,4,2,5] => 00000 => [6]
[3,5,1,5,2,4] => [3,5,1,6,2,4] => 00000 => [6]
[3,5,1,5,4,2] => [3,6,1,5,2,4] => 00000 => [6]
[3,5,2,1,4,5] => [4,3,1,5,2,6] => 00001 => [5,1]
[3,5,2,1,5,4] => [4,3,1,6,2,5] => 00000 => [6]
[3,5,2,4,1,5] => [5,3,1,4,2,6] => 00001 => [5,1]
[3,5,2,4,5,1] => [6,3,1,4,2,5] => 00000 => [6]
[3,5,2,5,1,4] => [5,3,1,6,2,4] => 00000 => [6]
[3,5,2,5,4,1] => [6,3,1,5,2,4] => 00000 => [6]
[3,5,4,1,2,5] => [4,5,1,3,2,6] => 00001 => [5,1]
[3,5,4,1,5,2] => [4,6,1,3,2,5] => 00000 => [6]
[3,5,4,2,1,5] => [5,4,1,3,2,6] => 00001 => [5,1]
[3,5,4,2,5,1] => [6,4,1,3,2,5] => 00000 => [6]
[3,5,4,5,1,2] => [5,6,1,3,2,4] => 00000 => [6]
[3,5,4,5,2,1] => [6,5,1,3,2,4] => 00000 => [6]
[3,5,5,1,2,4] => [4,5,1,6,2,3] => 00000 => [6]
[3,5,5,1,4,2] => [4,6,1,5,2,3] => 00000 => [6]
[3,5,5,2,1,4] => [5,4,1,6,2,3] => 00000 => [6]
[3,5,5,2,4,1] => [6,4,1,5,2,3] => 00000 => [6]
[3,5,5,4,1,2] => [5,6,1,4,2,3] => 00000 => [6]
[3,5,5,4,2,1] => [6,5,1,4,2,3] => 00000 => [6]
[4,1,2,3,5,5] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,2,5,3,5] => [2,3,5,1,4,6] => 00001 => [5,1]
[4,1,2,5,5,3] => [2,3,6,1,4,5] => 00000 => [6]
[4,1,3,2,5,5] => [2,4,3,1,5,6] => 00011 => [4,1,1]
[4,1,3,5,2,5] => [2,5,3,1,4,6] => 00001 => [5,1]
[4,1,3,5,5,2] => [2,6,3,1,4,5] => 00000 => [6]
[4,1,5,2,3,5] => [2,4,5,1,3,6] => 00001 => [5,1]
[4,1,5,2,5,3] => [2,4,6,1,3,5] => 00000 => [6]
[4,1,5,3,2,5] => [2,5,4,1,3,6] => 00001 => [5,1]
[4,1,5,3,5,2] => [2,6,4,1,3,5] => 00000 => [6]
[4,1,5,5,2,3] => [2,5,6,1,3,4] => 00000 => [6]
[4,1,5,5,3,2] => [2,6,5,1,3,4] => 00000 => [6]
[4,2,1,3,5,5] => [3,2,4,1,5,6] => 00011 => [4,1,1]
[4,2,1,5,3,5] => [3,2,5,1,4,6] => 00001 => [5,1]
[4,2,1,5,5,3] => [3,2,6,1,4,5] => 00000 => [6]
[4,2,3,1,5,5] => [4,2,3,1,5,6] => 00011 => [4,1,1]
[4,2,3,5,1,5] => [5,2,3,1,4,6] => 00001 => [5,1]
[4,2,3,5,5,1] => [6,2,3,1,4,5] => 00000 => [6]
[4,2,5,1,3,5] => [4,2,5,1,3,6] => 00001 => [5,1]
[4,2,5,1,5,3] => [4,2,6,1,3,5] => 00000 => [6]
[4,2,5,3,1,5] => [5,2,4,1,3,6] => 00001 => [5,1]
[4,2,5,3,5,1] => [6,2,4,1,3,5] => 00000 => [6]
[4,2,5,5,1,3] => [5,2,6,1,3,4] => 00000 => [6]
[4,2,5,5,3,1] => [6,2,5,1,3,4] => 00000 => [6]
[4,3,1,2,5,5] => [3,4,2,1,5,6] => 00011 => [4,1,1]
[4,3,1,5,2,5] => [3,5,2,1,4,6] => 00001 => [5,1]
[4,3,1,5,5,2] => [3,6,2,1,4,5] => 00000 => [6]
[4,3,2,1,5,5] => [4,3,2,1,5,6] => 00011 => [4,1,1]
[4,3,2,5,1,5] => [5,3,2,1,4,6] => 00001 => [5,1]
[4,3,2,5,5,1] => [6,3,2,1,4,5] => 00000 => [6]
[4,3,5,1,2,5] => [4,5,2,1,3,6] => 00001 => [5,1]
[4,3,5,1,5,2] => [4,6,2,1,3,5] => 00000 => [6]
[4,3,5,2,1,5] => [5,4,2,1,3,6] => 00001 => [5,1]
[4,3,5,2,5,1] => [6,4,2,1,3,5] => 00000 => [6]
[4,3,5,5,1,2] => [5,6,2,1,3,4] => 00000 => [6]
[4,3,5,5,2,1] => [6,5,2,1,3,4] => 00000 => [6]
[4,5,1,2,3,5] => [3,4,5,1,2,6] => 00001 => [5,1]
[4,5,1,2,5,3] => [3,4,6,1,2,5] => 00000 => [6]
[4,5,1,3,2,5] => [3,5,4,1,2,6] => 00001 => [5,1]
[4,5,1,3,5,2] => [3,6,4,1,2,5] => 00000 => [6]
[4,5,1,5,2,3] => [3,5,6,1,2,4] => 00000 => [6]
[4,5,1,5,3,2] => [3,6,5,1,2,4] => 00000 => [6]
[4,5,2,1,3,5] => [4,3,5,1,2,6] => 00001 => [5,1]
[4,5,2,1,5,3] => [4,3,6,1,2,5] => 00000 => [6]
[4,5,2,3,1,5] => [5,3,4,1,2,6] => 00001 => [5,1]
[4,5,2,3,5,1] => [6,3,4,1,2,5] => 00000 => [6]
[4,5,2,5,1,3] => [5,3,6,1,2,4] => 00000 => [6]
[4,5,2,5,3,1] => [6,3,5,1,2,4] => 00000 => [6]
[4,5,3,1,2,5] => [4,5,3,1,2,6] => 00001 => [5,1]
[4,5,3,1,5,2] => [4,6,3,1,2,5] => 00000 => [6]
[4,5,3,2,1,5] => [5,4,3,1,2,6] => 00001 => [5,1]
[4,5,3,2,5,1] => [6,4,3,1,2,5] => 00000 => [6]
[4,5,3,5,1,2] => [5,6,3,1,2,4] => 00000 => [6]
[4,5,3,5,2,1] => [6,5,3,1,2,4] => 00000 => [6]
[4,5,5,1,2,3] => [4,5,6,1,2,3] => 00000 => [6]
[4,5,5,1,3,2] => [4,6,5,1,2,3] => 00000 => [6]
[4,5,5,2,1,3] => [5,4,6,1,2,3] => 00000 => [6]
[4,5,5,2,3,1] => [6,4,5,1,2,3] => 00000 => [6]
[4,5,5,3,1,2] => [5,6,4,1,2,3] => 00000 => [6]
[4,5,5,3,2,1] => [6,5,4,1,2,3] => 00000 => [6]
[5,1,2,3,4,5] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,2,3,5,4] => [2,3,4,6,1,5] => 00000 => [6]
[5,1,2,4,3,5] => [2,3,5,4,1,6] => 00001 => [5,1]
[5,1,2,4,5,3] => [2,3,6,4,1,5] => 00000 => [6]
[5,1,2,5,3,4] => [2,3,5,6,1,4] => 00000 => [6]
[5,1,2,5,4,3] => [2,3,6,5,1,4] => 00000 => [6]
[5,1,3,2,4,5] => [2,4,3,5,1,6] => 00001 => [5,1]
[5,1,3,2,5,4] => [2,4,3,6,1,5] => 00000 => [6]
[5,1,3,4,2,5] => [2,5,3,4,1,6] => 00001 => [5,1]
[5,1,3,4,5,2] => [2,6,3,4,1,5] => 00000 => [6]
[5,1,3,5,2,4] => [2,5,3,6,1,4] => 00000 => [6]
[5,1,3,5,4,2] => [2,6,3,5,1,4] => 00000 => [6]
[5,1,4,2,3,5] => [2,4,5,3,1,6] => 00001 => [5,1]
[5,1,4,2,5,3] => [2,4,6,3,1,5] => 00000 => [6]
[5,1,4,3,2,5] => [2,5,4,3,1,6] => 00001 => [5,1]
[5,1,4,3,5,2] => [2,6,4,3,1,5] => 00000 => [6]
[5,1,4,5,2,3] => [2,5,6,3,1,4] => 00000 => [6]
[5,1,4,5,3,2] => [2,6,5,3,1,4] => 00000 => [6]
[5,1,5,2,3,4] => [2,4,5,6,1,3] => 00000 => [6]
[5,1,5,2,4,3] => [2,4,6,5,1,3] => 00000 => [6]
[5,1,5,3,2,4] => [2,5,4,6,1,3] => 00000 => [6]
[5,1,5,3,4,2] => [2,6,4,5,1,3] => 00000 => [6]
[5,1,5,4,2,3] => [2,5,6,4,1,3] => 00000 => [6]
[5,1,5,4,3,2] => [2,6,5,4,1,3] => 00000 => [6]
[5,2,1,3,4,5] => [3,2,4,5,1,6] => 00001 => [5,1]
[5,2,1,3,5,4] => [3,2,4,6,1,5] => 00000 => [6]
[5,2,1,4,3,5] => [3,2,5,4,1,6] => 00001 => [5,1]
[5,2,1,4,5,3] => [3,2,6,4,1,5] => 00000 => [6]
[5,2,1,5,3,4] => [3,2,5,6,1,4] => 00000 => [6]
[5,2,1,5,4,3] => [3,2,6,5,1,4] => 00000 => [6]
[5,2,3,1,4,5] => [4,2,3,5,1,6] => 00001 => [5,1]
[5,2,3,1,5,4] => [4,2,3,6,1,5] => 00000 => [6]
[5,2,3,4,1,5] => [5,2,3,4,1,6] => 00001 => [5,1]
[5,2,3,4,5,1] => [6,2,3,4,1,5] => 00000 => [6]
[5,2,3,5,1,4] => [5,2,3,6,1,4] => 00000 => [6]
[5,2,3,5,4,1] => [6,2,3,5,1,4] => 00000 => [6]
[5,2,4,1,3,5] => [4,2,5,3,1,6] => 00001 => [5,1]
[5,2,4,1,5,3] => [4,2,6,3,1,5] => 00000 => [6]
[5,2,4,3,1,5] => [5,2,4,3,1,6] => 00001 => [5,1]
[5,2,4,3,5,1] => [6,2,4,3,1,5] => 00000 => [6]
[5,2,4,5,1,3] => [5,2,6,3,1,4] => 00000 => [6]
[5,2,4,5,3,1] => [6,2,5,3,1,4] => 00000 => [6]
[5,2,5,1,3,4] => [4,2,5,6,1,3] => 00000 => [6]
[5,2,5,1,4,3] => [4,2,6,5,1,3] => 00000 => [6]
[5,2,5,3,1,4] => [5,2,4,6,1,3] => 00000 => [6]
[5,2,5,3,4,1] => [6,2,4,5,1,3] => 00000 => [6]
[5,2,5,4,1,3] => [5,2,6,4,1,3] => 00000 => [6]
[5,2,5,4,3,1] => [6,2,5,4,1,3] => 00000 => [6]
[5,3,1,2,4,5] => [3,4,2,5,1,6] => 00001 => [5,1]
[5,3,1,2,5,4] => [3,4,2,6,1,5] => 00000 => [6]
[5,3,1,4,2,5] => [3,5,2,4,1,6] => 00001 => [5,1]
[5,3,1,4,5,2] => [3,6,2,4,1,5] => 00000 => [6]
[5,3,1,5,2,4] => [3,5,2,6,1,4] => 00000 => [6]
[5,3,1,5,4,2] => [3,6,2,5,1,4] => 00000 => [6]
[5,3,2,1,4,5] => [4,3,2,5,1,6] => 00001 => [5,1]
[5,3,2,1,5,4] => [4,3,2,6,1,5] => 00000 => [6]
[5,3,2,4,1,5] => [5,3,2,4,1,6] => 00001 => [5,1]
[5,3,2,4,5,1] => [6,3,2,4,1,5] => 00000 => [6]
[5,3,2,5,1,4] => [5,3,2,6,1,4] => 00000 => [6]
[5,3,2,5,4,1] => [6,3,2,5,1,4] => 00000 => [6]
[5,3,4,1,2,5] => [4,5,2,3,1,6] => 00001 => [5,1]
[5,3,4,1,5,2] => [4,6,2,3,1,5] => 00000 => [6]
[5,3,4,2,1,5] => [5,4,2,3,1,6] => 00001 => [5,1]
[5,3,4,2,5,1] => [6,4,2,3,1,5] => 00000 => [6]
[5,3,4,5,1,2] => [5,6,2,3,1,4] => 00000 => [6]
[5,3,4,5,2,1] => [6,5,2,3,1,4] => 00000 => [6]
[5,3,5,1,2,4] => [4,5,2,6,1,3] => 00000 => [6]
[5,3,5,1,4,2] => [4,6,2,5,1,3] => 00000 => [6]
[5,3,5,2,1,4] => [5,4,2,6,1,3] => 00000 => [6]
[5,3,5,2,4,1] => [6,4,2,5,1,3] => 00000 => [6]
[5,3,5,4,1,2] => [5,6,2,4,1,3] => 00000 => [6]
[5,3,5,4,2,1] => [6,5,2,4,1,3] => 00000 => [6]
[5,4,1,2,3,5] => [3,4,5,2,1,6] => 00001 => [5,1]
[5,4,1,2,5,3] => [3,4,6,2,1,5] => 00000 => [6]
[5,4,1,3,2,5] => [3,5,4,2,1,6] => 00001 => [5,1]
[5,4,1,3,5,2] => [3,6,4,2,1,5] => 00000 => [6]
[5,4,1,5,2,3] => [3,5,6,2,1,4] => 00000 => [6]
[5,4,1,5,3,2] => [3,6,5,2,1,4] => 00000 => [6]
[5,4,2,1,3,5] => [4,3,5,2,1,6] => 00001 => [5,1]
[5,4,2,1,5,3] => [4,3,6,2,1,5] => 00000 => [6]
[5,4,2,3,1,5] => [5,3,4,2,1,6] => 00001 => [5,1]
[5,4,2,3,5,1] => [6,3,4,2,1,5] => 00000 => [6]
[5,4,2,5,1,3] => [5,3,6,2,1,4] => 00000 => [6]
[5,4,2,5,3,1] => [6,3,5,2,1,4] => 00000 => [6]
[5,4,3,1,2,5] => [4,5,3,2,1,6] => 00001 => [5,1]
[5,4,3,1,5,2] => [4,6,3,2,1,5] => 00000 => [6]
[5,4,3,2,1,5] => [5,4,3,2,1,6] => 00001 => [5,1]
[5,4,3,2,5,1] => [6,4,3,2,1,5] => 00000 => [6]
[5,4,3,5,1,2] => [5,6,3,2,1,4] => 00000 => [6]
[5,4,3,5,2,1] => [6,5,3,2,1,4] => 00000 => [6]
[5,4,5,1,2,3] => [4,5,6,2,1,3] => 00000 => [6]
[5,4,5,1,3,2] => [4,6,5,2,1,3] => 00000 => [6]
[5,4,5,2,1,3] => [5,4,6,2,1,3] => 00000 => [6]
[5,4,5,2,3,1] => [6,4,5,2,1,3] => 00000 => [6]
[5,4,5,3,1,2] => [5,6,4,2,1,3] => 00000 => [6]
[5,4,5,3,2,1] => [6,5,4,2,1,3] => 00000 => [6]
[5,5,1,2,3,4] => [3,4,5,6,1,2] => 00000 => [6]
[5,5,1,2,4,3] => [3,4,6,5,1,2] => 00000 => [6]
[5,5,1,3,2,4] => [3,5,4,6,1,2] => 00000 => [6]
[5,5,1,3,4,2] => [3,6,4,5,1,2] => 00000 => [6]
[5,5,1,4,2,3] => [3,5,6,4,1,2] => 00000 => [6]
[5,5,1,4,3,2] => [3,6,5,4,1,2] => 00000 => [6]
[5,5,2,1,3,4] => [4,3,5,6,1,2] => 00000 => [6]
[5,5,2,1,4,3] => [4,3,6,5,1,2] => 00000 => [6]
[5,5,2,3,1,4] => [5,3,4,6,1,2] => 00000 => [6]
[5,5,2,3,4,1] => [6,3,4,5,1,2] => 00000 => [6]
[5,5,2,4,1,3] => [5,3,6,4,1,2] => 00000 => [6]
[5,5,2,4,3,1] => [6,3,5,4,1,2] => 00000 => [6]
[5,5,3,1,2,4] => [4,5,3,6,1,2] => 00000 => [6]
[5,5,3,1,4,2] => [4,6,3,5,1,2] => 00000 => [6]
[5,5,3,2,1,4] => [5,4,3,6,1,2] => 00000 => [6]
[5,5,3,2,4,1] => [6,4,3,5,1,2] => 00000 => [6]
[5,5,3,4,1,2] => [5,6,3,4,1,2] => 00000 => [6]
[5,5,3,4,2,1] => [6,5,3,4,1,2] => 00000 => [6]
[5,5,4,1,2,3] => [4,5,6,3,1,2] => 00000 => [6]
[5,5,4,1,3,2] => [4,6,5,3,1,2] => 00000 => [6]
[5,5,4,2,1,3] => [5,4,6,3,1,2] => 00000 => [6]
[5,5,4,2,3,1] => [6,4,5,3,1,2] => 00000 => [6]
[5,5,4,3,1,2] => [5,6,4,3,1,2] => 00000 => [6]
[5,5,4,3,2,1] => [6,5,4,3,1,2] => 00000 => [6]
[1,2,3,4,5,6] => [1,2,3,4,5,6] => 11111 => [1,1,1,1,1,1]
[1,2,3,4,6,5] => [1,2,3,4,6,5] => 11110 => [1,1,1,1,2]
[1,2,3,5,4,6] => [1,2,3,5,4,6] => 11101 => [1,1,1,2,1]
[1,2,3,5,6,4] => [1,2,3,6,4,5] => 11100 => [1,1,1,3]
[1,2,3,6,4,5] => [1,2,3,5,6,4] => 11100 => [1,1,1,3]
[1,2,3,6,5,4] => [1,2,3,6,5,4] => 11100 => [1,1,1,3]
[1,2,4,3,5,6] => [1,2,4,3,5,6] => 11011 => [1,1,2,1,1]
[1,2,4,3,6,5] => [1,2,4,3,6,5] => 11010 => [1,1,2,2]
[1,2,4,5,3,6] => [1,2,5,3,4,6] => 11001 => [1,1,3,1]
[1,2,4,5,6,3] => [1,2,6,3,4,5] => 11000 => [1,1,4]
[1,2,4,6,3,5] => [1,2,5,3,6,4] => 11000 => [1,1,4]
[1,2,4,6,5,3] => [1,2,6,3,5,4] => 11000 => [1,1,4]
[1,2,5,3,4,6] => [1,2,4,5,3,6] => 11001 => [1,1,3,1]
[1,2,5,3,6,4] => [1,2,4,6,3,5] => 11000 => [1,1,4]
[1,2,5,4,3,6] => [1,2,5,4,3,6] => 11001 => [1,1,3,1]
[1,2,5,4,6,3] => [1,2,6,4,3,5] => 11000 => [1,1,4]
[1,2,5,6,3,4] => [1,2,5,6,3,4] => 11000 => [1,1,4]
[1,2,5,6,4,3] => [1,2,6,5,3,4] => 11000 => [1,1,4]
[1,2,6,3,4,5] => [1,2,4,5,6,3] => 11000 => [1,1,4]
[1,2,6,3,5,4] => [1,2,4,6,5,3] => 11000 => [1,1,4]
[1,2,6,4,3,5] => [1,2,5,4,6,3] => 11000 => [1,1,4]
[1,2,6,4,5,3] => [1,2,6,4,5,3] => 11000 => [1,1,4]
[1,2,6,5,3,4] => [1,2,5,6,4,3] => 11000 => [1,1,4]
[1,2,6,5,4,3] => [1,2,6,5,4,3] => 11000 => [1,1,4]
[1,3,2,4,5,6] => [1,3,2,4,5,6] => 10111 => [1,2,1,1,1]
[1,3,2,4,6,5] => [1,3,2,4,6,5] => 10110 => [1,2,1,2]
[1,3,2,5,4,6] => [1,3,2,5,4,6] => 10101 => [1,2,2,1]
[1,3,2,5,6,4] => [1,3,2,6,4,5] => 10100 => [1,2,3]
[1,3,2,6,4,5] => [1,3,2,5,6,4] => 10100 => [1,2,3]
[1,3,2,6,5,4] => [1,3,2,6,5,4] => 10100 => [1,2,3]
[1,3,4,2,5,6] => [1,4,2,3,5,6] => 10011 => [1,3,1,1]
[1,3,4,2,6,5] => [1,4,2,3,6,5] => 10010 => [1,3,2]
[1,3,4,5,2,6] => [1,5,2,3,4,6] => 10001 => [1,4,1]
[1,3,4,5,6,2] => [1,6,2,3,4,5] => 10000 => [1,5]
[1,3,4,6,2,5] => [1,5,2,3,6,4] => 10000 => [1,5]
[1,3,4,6,5,2] => [1,6,2,3,5,4] => 10000 => [1,5]
[1,3,5,2,4,6] => [1,4,2,5,3,6] => 10001 => [1,4,1]
[1,3,5,2,6,4] => [1,4,2,6,3,5] => 10000 => [1,5]
[1,3,5,4,2,6] => [1,5,2,4,3,6] => 10001 => [1,4,1]
[1,3,5,4,6,2] => [1,6,2,4,3,5] => 10000 => [1,5]
[1,3,5,6,2,4] => [1,5,2,6,3,4] => 10000 => [1,5]
[1,3,5,6,4,2] => [1,6,2,5,3,4] => 10000 => [1,5]
[1,3,6,2,4,5] => [1,4,2,5,6,3] => 10000 => [1,5]
[1,3,6,2,5,4] => [1,4,2,6,5,3] => 10000 => [1,5]
[1,3,6,4,2,5] => [1,5,2,4,6,3] => 10000 => [1,5]
[1,3,6,4,5,2] => [1,6,2,4,5,3] => 10000 => [1,5]
[1,3,6,5,2,4] => [1,5,2,6,4,3] => 10000 => [1,5]
[1,3,6,5,4,2] => [1,6,2,5,4,3] => 10000 => [1,5]
[1,4,2,3,5,6] => [1,3,4,2,5,6] => 10011 => [1,3,1,1]
[1,4,2,3,6,5] => [1,3,4,2,6,5] => 10010 => [1,3,2]
[1,4,2,5,3,6] => [1,3,5,2,4,6] => 10001 => [1,4,1]
[1,4,2,5,6,3] => [1,3,6,2,4,5] => 10000 => [1,5]
[1,4,2,6,3,5] => [1,3,5,2,6,4] => 10000 => [1,5]
[1,4,2,6,5,3] => [1,3,6,2,5,4] => 10000 => [1,5]
[1,4,3,2,5,6] => [1,4,3,2,5,6] => 10011 => [1,3,1,1]
[1,4,3,2,6,5] => [1,4,3,2,6,5] => 10010 => [1,3,2]
[1,4,3,5,2,6] => [1,5,3,2,4,6] => 10001 => [1,4,1]
[1,4,3,5,6,2] => [1,6,3,2,4,5] => 10000 => [1,5]
[1,4,3,6,2,5] => [1,5,3,2,6,4] => 10000 => [1,5]
[1,4,3,6,5,2] => [1,6,3,2,5,4] => 10000 => [1,5]
[1,4,5,2,3,6] => [1,4,5,2,3,6] => 10001 => [1,4,1]
[1,4,5,2,6,3] => [1,4,6,2,3,5] => 10000 => [1,5]
[1,4,5,3,2,6] => [1,5,4,2,3,6] => 10001 => [1,4,1]
[1,4,5,3,6,2] => [1,6,4,2,3,5] => 10000 => [1,5]
[1,4,5,6,2,3] => [1,5,6,2,3,4] => 10000 => [1,5]
[1,4,5,6,3,2] => [1,6,5,2,3,4] => 10000 => [1,5]
[1,4,6,2,3,5] => [1,4,5,2,6,3] => 10000 => [1,5]
[1,4,6,2,5,3] => [1,4,6,2,5,3] => 10000 => [1,5]
[1,4,6,3,2,5] => [1,5,4,2,6,3] => 10000 => [1,5]
[1,4,6,3,5,2] => [1,6,4,2,5,3] => 10000 => [1,5]
[1,4,6,5,2,3] => [1,5,6,2,4,3] => 10000 => [1,5]
[1,4,6,5,3,2] => [1,6,5,2,4,3] => 10000 => [1,5]
[1,5,2,3,4,6] => [1,3,4,5,2,6] => 10001 => [1,4,1]
[1,5,2,3,6,4] => [1,3,4,6,2,5] => 10000 => [1,5]
[1,5,2,4,3,6] => [1,3,5,4,2,6] => 10001 => [1,4,1]
[1,5,2,4,6,3] => [1,3,6,4,2,5] => 10000 => [1,5]
[1,5,2,6,3,4] => [1,3,5,6,2,4] => 10000 => [1,5]
[1,5,2,6,4,3] => [1,3,6,5,2,4] => 10000 => [1,5]
[1,5,3,2,4,6] => [1,4,3,5,2,6] => 10001 => [1,4,1]
[1,5,3,2,6,4] => [1,4,3,6,2,5] => 10000 => [1,5]
[1,5,3,4,2,6] => [1,5,3,4,2,6] => 10001 => [1,4,1]
[1,5,3,4,6,2] => [1,6,3,4,2,5] => 10000 => [1,5]
[1,5,3,6,2,4] => [1,5,3,6,2,4] => 10000 => [1,5]
[1,5,3,6,4,2] => [1,6,3,5,2,4] => 10000 => [1,5]
[1,5,4,2,3,6] => [1,4,5,3,2,6] => 10001 => [1,4,1]
[1,5,4,2,6,3] => [1,4,6,3,2,5] => 10000 => [1,5]
[1,5,4,3,2,6] => [1,5,4,3,2,6] => 10001 => [1,4,1]
[1,5,4,3,6,2] => [1,6,4,3,2,5] => 10000 => [1,5]
[1,5,4,6,2,3] => [1,5,6,3,2,4] => 10000 => [1,5]
[1,5,4,6,3,2] => [1,6,5,3,2,4] => 10000 => [1,5]
[1,5,6,2,3,4] => [1,4,5,6,2,3] => 10000 => [1,5]
[1,5,6,2,4,3] => [1,4,6,5,2,3] => 10000 => [1,5]
[1,5,6,3,2,4] => [1,5,4,6,2,3] => 10000 => [1,5]
[1,5,6,3,4,2] => [1,6,4,5,2,3] => 10000 => [1,5]
[1,5,6,4,2,3] => [1,5,6,4,2,3] => 10000 => [1,5]
[1,5,6,4,3,2] => [1,6,5,4,2,3] => 10000 => [1,5]
[1,6,2,3,4,5] => [1,3,4,5,6,2] => 10000 => [1,5]
[1,6,2,3,5,4] => [1,3,4,6,5,2] => 10000 => [1,5]
[1,6,2,4,3,5] => [1,3,5,4,6,2] => 10000 => [1,5]
[1,6,2,4,5,3] => [1,3,6,4,5,2] => 10000 => [1,5]
[1,6,2,5,3,4] => [1,3,5,6,4,2] => 10000 => [1,5]
[1,6,2,5,4,3] => [1,3,6,5,4,2] => 10000 => [1,5]
[1,6,3,2,4,5] => [1,4,3,5,6,2] => 10000 => [1,5]
[1,6,3,2,5,4] => [1,4,3,6,5,2] => 10000 => [1,5]
[1,6,3,4,2,5] => [1,5,3,4,6,2] => 10000 => [1,5]
[1,6,3,4,5,2] => [1,6,3,4,5,2] => 10000 => [1,5]
[1,6,3,5,2,4] => [1,5,3,6,4,2] => 10000 => [1,5]
[1,6,3,5,4,2] => [1,6,3,5,4,2] => 10000 => [1,5]
[1,6,4,2,3,5] => [1,4,5,3,6,2] => 10000 => [1,5]
[1,6,4,2,5,3] => [1,4,6,3,5,2] => 10000 => [1,5]
[1,6,4,3,2,5] => [1,5,4,3,6,2] => 10000 => [1,5]
[1,6,4,3,5,2] => [1,6,4,3,5,2] => 10000 => [1,5]
[1,6,4,5,2,3] => [1,5,6,3,4,2] => 10000 => [1,5]
[1,6,4,5,3,2] => [1,6,5,3,4,2] => 10000 => [1,5]
[1,6,5,2,3,4] => [1,4,5,6,3,2] => 10000 => [1,5]
[1,6,5,2,4,3] => [1,4,6,5,3,2] => 10000 => [1,5]
[1,6,5,3,2,4] => [1,5,4,6,3,2] => 10000 => [1,5]
[1,6,5,3,4,2] => [1,6,4,5,3,2] => 10000 => [1,5]
[1,6,5,4,2,3] => [1,5,6,4,3,2] => 10000 => [1,5]
[1,6,5,4,3,2] => [1,6,5,4,3,2] => 10000 => [1,5]
[2,1,3,4,5,6] => [2,1,3,4,5,6] => 01111 => [2,1,1,1,1]
[2,1,3,4,6,5] => [2,1,3,4,6,5] => 01110 => [2,1,1,2]
[2,1,3,5,4,6] => [2,1,3,5,4,6] => 01101 => [2,1,2,1]
[2,1,3,5,6,4] => [2,1,3,6,4,5] => 01100 => [2,1,3]
[2,1,3,6,4,5] => [2,1,3,5,6,4] => 01100 => [2,1,3]
[2,1,3,6,5,4] => [2,1,3,6,5,4] => 01100 => [2,1,3]
[2,1,4,3,5,6] => [2,1,4,3,5,6] => 01011 => [2,2,1,1]
[2,1,4,3,6,5] => [2,1,4,3,6,5] => 01010 => [2,2,2]
[2,1,4,5,3,6] => [2,1,5,3,4,6] => 01001 => [2,3,1]
[2,1,4,5,6,3] => [2,1,6,3,4,5] => 01000 => [2,4]
[2,1,4,6,3,5] => [2,1,5,3,6,4] => 01000 => [2,4]
[2,1,4,6,5,3] => [2,1,6,3,5,4] => 01000 => [2,4]
[2,1,5,3,4,6] => [2,1,4,5,3,6] => 01001 => [2,3,1]
[2,1,5,3,6,4] => [2,1,4,6,3,5] => 01000 => [2,4]
[2,1,5,4,3,6] => [2,1,5,4,3,6] => 01001 => [2,3,1]
[2,1,5,4,6,3] => [2,1,6,4,3,5] => 01000 => [2,4]
[2,1,5,6,3,4] => [2,1,5,6,3,4] => 01000 => [2,4]
[2,1,5,6,4,3] => [2,1,6,5,3,4] => 01000 => [2,4]
[2,1,6,3,4,5] => [2,1,4,5,6,3] => 01000 => [2,4]
[2,1,6,3,5,4] => [2,1,4,6,5,3] => 01000 => [2,4]
[2,1,6,4,3,5] => [2,1,5,4,6,3] => 01000 => [2,4]
[2,1,6,4,5,3] => [2,1,6,4,5,3] => 01000 => [2,4]
[2,1,6,5,3,4] => [2,1,5,6,4,3] => 01000 => [2,4]
[2,1,6,5,4,3] => [2,1,6,5,4,3] => 01000 => [2,4]
[2,3,1,4,5,6] => [3,1,2,4,5,6] => 00111 => [3,1,1,1]
[2,3,1,4,6,5] => [3,1,2,4,6,5] => 00110 => [3,1,2]
[2,3,1,5,4,6] => [3,1,2,5,4,6] => 00101 => [3,2,1]
[2,3,1,5,6,4] => [3,1,2,6,4,5] => 00100 => [3,3]
[2,3,1,6,4,5] => [3,1,2,5,6,4] => 00100 => [3,3]
[2,3,1,6,5,4] => [3,1,2,6,5,4] => 00100 => [3,3]
[2,3,4,1,5,6] => [4,1,2,3,5,6] => 00011 => [4,1,1]
[2,3,4,1,6,5] => [4,1,2,3,6,5] => 00010 => [4,2]
[2,3,4,5,1,6] => [5,1,2,3,4,6] => 00001 => [5,1]
[2,3,4,5,6,1] => [6,1,2,3,4,5] => 00000 => [6]
[2,3,4,6,1,5] => [5,1,2,3,6,4] => 00000 => [6]
[2,3,4,6,5,1] => [6,1,2,3,5,4] => 00000 => [6]
[2,3,5,1,4,6] => [4,1,2,5,3,6] => 00001 => [5,1]
[2,3,5,1,6,4] => [4,1,2,6,3,5] => 00000 => [6]
[2,3,5,4,1,6] => [5,1,2,4,3,6] => 00001 => [5,1]
[2,3,5,4,6,1] => [6,1,2,4,3,5] => 00000 => [6]
[2,3,5,6,1,4] => [5,1,2,6,3,4] => 00000 => [6]
[2,3,5,6,4,1] => [6,1,2,5,3,4] => 00000 => [6]
[2,3,6,1,4,5] => [4,1,2,5,6,3] => 00000 => [6]
[2,3,6,1,5,4] => [4,1,2,6,5,3] => 00000 => [6]
[2,3,6,4,1,5] => [5,1,2,4,6,3] => 00000 => [6]
[2,3,6,4,5,1] => [6,1,2,4,5,3] => 00000 => [6]
[2,3,6,5,1,4] => [5,1,2,6,4,3] => 00000 => [6]
[2,3,6,5,4,1] => [6,1,2,5,4,3] => 00000 => [6]
[2,4,1,3,5,6] => [3,1,4,2,5,6] => 00011 => [4,1,1]
[2,4,1,3,6,5] => [3,1,4,2,6,5] => 00010 => [4,2]
[2,4,1,5,3,6] => [3,1,5,2,4,6] => 00001 => [5,1]
[2,4,1,5,6,3] => [3,1,6,2,4,5] => 00000 => [6]
[2,4,1,6,3,5] => [3,1,5,2,6,4] => 00000 => [6]
[2,4,1,6,5,3] => [3,1,6,2,5,4] => 00000 => [6]
[2,4,3,1,5,6] => [4,1,3,2,5,6] => 00011 => [4,1,1]
[2,4,3,1,6,5] => [4,1,3,2,6,5] => 00010 => [4,2]
[2,4,3,5,1,6] => [5,1,3,2,4,6] => 00001 => [5,1]
[2,4,3,5,6,1] => [6,1,3,2,4,5] => 00000 => [6]
[2,4,3,6,1,5] => [5,1,3,2,6,4] => 00000 => [6]
[2,4,3,6,5,1] => [6,1,3,2,5,4] => 00000 => [6]
[2,4,5,1,3,6] => [4,1,5,2,3,6] => 00001 => [5,1]
[2,4,5,1,6,3] => [4,1,6,2,3,5] => 00000 => [6]
[2,4,5,3,1,6] => [5,1,4,2,3,6] => 00001 => [5,1]
[2,4,5,3,6,1] => [6,1,4,2,3,5] => 00000 => [6]
[2,4,5,6,1,3] => [5,1,6,2,3,4] => 00000 => [6]
[2,4,5,6,3,1] => [6,1,5,2,3,4] => 00000 => [6]
[2,4,6,1,3,5] => [4,1,5,2,6,3] => 00000 => [6]
[2,4,6,1,5,3] => [4,1,6,2,5,3] => 00000 => [6]
[2,4,6,3,1,5] => [5,1,4,2,6,3] => 00000 => [6]
[2,4,6,3,5,1] => [6,1,4,2,5,3] => 00000 => [6]
[2,4,6,5,1,3] => [5,1,6,2,4,3] => 00000 => [6]
[2,4,6,5,3,1] => [6,1,5,2,4,3] => 00000 => [6]
[2,5,1,3,4,6] => [3,1,4,5,2,6] => 00001 => [5,1]
[2,5,1,3,6,4] => [3,1,4,6,2,5] => 00000 => [6]
[2,5,1,4,3,6] => [3,1,5,4,2,6] => 00001 => [5,1]
[2,5,1,4,6,3] => [3,1,6,4,2,5] => 00000 => [6]
[2,5,1,6,3,4] => [3,1,5,6,2,4] => 00000 => [6]
[2,5,1,6,4,3] => [3,1,6,5,2,4] => 00000 => [6]
[2,5,3,1,4,6] => [4,1,3,5,2,6] => 00001 => [5,1]
[2,5,3,1,6,4] => [4,1,3,6,2,5] => 00000 => [6]
[2,5,3,4,1,6] => [5,1,3,4,2,6] => 00001 => [5,1]
[2,5,3,4,6,1] => [6,1,3,4,2,5] => 00000 => [6]
[2,5,3,6,1,4] => [5,1,3,6,2,4] => 00000 => [6]
[2,5,3,6,4,1] => [6,1,3,5,2,4] => 00000 => [6]
[2,5,4,1,3,6] => [4,1,5,3,2,6] => 00001 => [5,1]
[2,5,4,1,6,3] => [4,1,6,3,2,5] => 00000 => [6]
[2,5,4,3,1,6] => [5,1,4,3,2,6] => 00001 => [5,1]
[2,5,4,3,6,1] => [6,1,4,3,2,5] => 00000 => [6]
[2,5,4,6,1,3] => [5,1,6,3,2,4] => 00000 => [6]
[2,5,4,6,3,1] => [6,1,5,3,2,4] => 00000 => [6]
[2,5,6,1,3,4] => [4,1,5,6,2,3] => 00000 => [6]
[2,5,6,1,4,3] => [4,1,6,5,2,3] => 00000 => [6]
[2,5,6,3,1,4] => [5,1,4,6,2,3] => 00000 => [6]
[2,5,6,3,4,1] => [6,1,4,5,2,3] => 00000 => [6]
[2,5,6,4,1,3] => [5,1,6,4,2,3] => 00000 => [6]
[2,5,6,4,3,1] => [6,1,5,4,2,3] => 00000 => [6]
[2,6,1,3,4,5] => [3,1,4,5,6,2] => 00000 => [6]
[2,6,1,3,5,4] => [3,1,4,6,5,2] => 00000 => [6]
[2,6,1,4,3,5] => [3,1,5,4,6,2] => 00000 => [6]
[2,6,1,4,5,3] => [3,1,6,4,5,2] => 00000 => [6]
[2,6,1,5,3,4] => [3,1,5,6,4,2] => 00000 => [6]
[2,6,1,5,4,3] => [3,1,6,5,4,2] => 00000 => [6]
[2,6,3,1,4,5] => [4,1,3,5,6,2] => 00000 => [6]
[2,6,3,1,5,4] => [4,1,3,6,5,2] => 00000 => [6]
[2,6,3,4,1,5] => [5,1,3,4,6,2] => 00000 => [6]
[2,6,3,4,5,1] => [6,1,3,4,5,2] => 00000 => [6]
[2,6,3,5,1,4] => [5,1,3,6,4,2] => 00000 => [6]
[2,6,3,5,4,1] => [6,1,3,5,4,2] => 00000 => [6]
[2,6,4,1,3,5] => [4,1,5,3,6,2] => 00000 => [6]
[2,6,4,1,5,3] => [4,1,6,3,5,2] => 00000 => [6]
[2,6,4,3,1,5] => [5,1,4,3,6,2] => 00000 => [6]
[2,6,4,3,5,1] => [6,1,4,3,5,2] => 00000 => [6]
[2,6,4,5,1,3] => [5,1,6,3,4,2] => 00000 => [6]
[2,6,4,5,3,1] => [6,1,5,3,4,2] => 00000 => [6]
[2,6,5,1,3,4] => [4,1,5,6,3,2] => 00000 => [6]
[2,6,5,1,4,3] => [4,1,6,5,3,2] => 00000 => [6]
[2,6,5,3,1,4] => [5,1,4,6,3,2] => 00000 => [6]
[2,6,5,3,4,1] => [6,1,4,5,3,2] => 00000 => [6]
[2,6,5,4,1,3] => [5,1,6,4,3,2] => 00000 => [6]
[2,6,5,4,3,1] => [6,1,5,4,3,2] => 00000 => [6]
[3,1,2,4,5,6] => [2,3,1,4,5,6] => 00111 => [3,1,1,1]
[3,1,2,4,6,5] => [2,3,1,4,6,5] => 00110 => [3,1,2]
[3,1,2,5,4,6] => [2,3,1,5,4,6] => 00101 => [3,2,1]
[3,1,2,5,6,4] => [2,3,1,6,4,5] => 00100 => [3,3]
[3,1,2,6,4,5] => [2,3,1,5,6,4] => 00100 => [3,3]
[3,1,2,6,5,4] => [2,3,1,6,5,4] => 00100 => [3,3]
[3,1,4,2,5,6] => [2,4,1,3,5,6] => 00011 => [4,1,1]
[3,1,4,2,6,5] => [2,4,1,3,6,5] => 00010 => [4,2]
[3,1,4,5,2,6] => [2,5,1,3,4,6] => 00001 => [5,1]
[3,1,4,5,6,2] => [2,6,1,3,4,5] => 00000 => [6]
[3,1,4,6,2,5] => [2,5,1,3,6,4] => 00000 => [6]
[3,1,4,6,5,2] => [2,6,1,3,5,4] => 00000 => [6]
[3,1,5,2,4,6] => [2,4,1,5,3,6] => 00001 => [5,1]
[3,1,5,2,6,4] => [2,4,1,6,3,5] => 00000 => [6]
[3,1,5,4,2,6] => [2,5,1,4,3,6] => 00001 => [5,1]
[3,1,5,4,6,2] => [2,6,1,4,3,5] => 00000 => [6]
[3,1,5,6,2,4] => [2,5,1,6,3,4] => 00000 => [6]
[3,1,5,6,4,2] => [2,6,1,5,3,4] => 00000 => [6]
[3,1,6,2,4,5] => [2,4,1,5,6,3] => 00000 => [6]
[3,1,6,2,5,4] => [2,4,1,6,5,3] => 00000 => [6]
[3,1,6,4,2,5] => [2,5,1,4,6,3] => 00000 => [6]
[3,1,6,4,5,2] => [2,6,1,4,5,3] => 00000 => [6]
[3,1,6,5,2,4] => [2,5,1,6,4,3] => 00000 => [6]
[3,1,6,5,4,2] => [2,6,1,5,4,3] => 00000 => [6]
[3,2,1,4,5,6] => [3,2,1,4,5,6] => 00111 => [3,1,1,1]
[3,2,1,4,6,5] => [3,2,1,4,6,5] => 00110 => [3,1,2]
[3,2,1,5,4,6] => [3,2,1,5,4,6] => 00101 => [3,2,1]
[3,2,1,5,6,4] => [3,2,1,6,4,5] => 00100 => [3,3]
[3,2,1,6,4,5] => [3,2,1,5,6,4] => 00100 => [3,3]
[3,2,1,6,5,4] => [3,2,1,6,5,4] => 00100 => [3,3]
[3,2,4,1,5,6] => [4,2,1,3,5,6] => 00011 => [4,1,1]
[3,2,4,1,6,5] => [4,2,1,3,6,5] => 00010 => [4,2]
[3,2,4,5,1,6] => [5,2,1,3,4,6] => 00001 => [5,1]
[3,2,4,5,6,1] => [6,2,1,3,4,5] => 00000 => [6]
[3,2,4,6,1,5] => [5,2,1,3,6,4] => 00000 => [6]
[3,2,4,6,5,1] => [6,2,1,3,5,4] => 00000 => [6]
[3,2,5,1,4,6] => [4,2,1,5,3,6] => 00001 => [5,1]
[3,2,5,1,6,4] => [4,2,1,6,3,5] => 00000 => [6]
[3,2,5,4,1,6] => [5,2,1,4,3,6] => 00001 => [5,1]
[3,2,5,4,6,1] => [6,2,1,4,3,5] => 00000 => [6]
[3,2,5,6,1,4] => [5,2,1,6,3,4] => 00000 => [6]
[3,2,5,6,4,1] => [6,2,1,5,3,4] => 00000 => [6]
[3,2,6,1,4,5] => [4,2,1,5,6,3] => 00000 => [6]
[3,2,6,1,5,4] => [4,2,1,6,5,3] => 00000 => [6]
[3,2,6,4,1,5] => [5,2,1,4,6,3] => 00000 => [6]
[3,2,6,4,5,1] => [6,2,1,4,5,3] => 00000 => [6]
[3,2,6,5,1,4] => [5,2,1,6,4,3] => 00000 => [6]
[3,2,6,5,4,1] => [6,2,1,5,4,3] => 00000 => [6]
[3,4,1,2,5,6] => [3,4,1,2,5,6] => 00011 => [4,1,1]
[3,4,1,2,6,5] => [3,4,1,2,6,5] => 00010 => [4,2]
[3,4,1,5,2,6] => [3,5,1,2,4,6] => 00001 => [5,1]
[3,4,1,5,6,2] => [3,6,1,2,4,5] => 00000 => [6]
[3,4,1,6,2,5] => [3,5,1,2,6,4] => 00000 => [6]
[3,4,1,6,5,2] => [3,6,1,2,5,4] => 00000 => [6]
[3,4,2,1,5,6] => [4,3,1,2,5,6] => 00011 => [4,1,1]
[3,4,2,1,6,5] => [4,3,1,2,6,5] => 00010 => [4,2]
[3,4,2,5,1,6] => [5,3,1,2,4,6] => 00001 => [5,1]
[3,4,2,5,6,1] => [6,3,1,2,4,5] => 00000 => [6]
[3,4,2,6,1,5] => [5,3,1,2,6,4] => 00000 => [6]
[3,4,2,6,5,1] => [6,3,1,2,5,4] => 00000 => [6]
[3,4,5,1,2,6] => [4,5,1,2,3,6] => 00001 => [5,1]
[3,4,5,1,6,2] => [4,6,1,2,3,5] => 00000 => [6]
[3,4,5,2,1,6] => [5,4,1,2,3,6] => 00001 => [5,1]
[3,4,5,2,6,1] => [6,4,1,2,3,5] => 00000 => [6]
[3,4,5,6,1,2] => [5,6,1,2,3,4] => 00000 => [6]
[3,4,5,6,2,1] => [6,5,1,2,3,4] => 00000 => [6]
[3,4,6,1,2,5] => [4,5,1,2,6,3] => 00000 => [6]
[3,4,6,1,5,2] => [4,6,1,2,5,3] => 00000 => [6]
[3,4,6,2,1,5] => [5,4,1,2,6,3] => 00000 => [6]
[3,4,6,2,5,1] => [6,4,1,2,5,3] => 00000 => [6]
[3,4,6,5,1,2] => [5,6,1,2,4,3] => 00000 => [6]
[3,4,6,5,2,1] => [6,5,1,2,4,3] => 00000 => [6]
[3,5,1,2,4,6] => [3,4,1,5,2,6] => 00001 => [5,1]
[3,5,1,2,6,4] => [3,4,1,6,2,5] => 00000 => [6]
[3,5,1,4,2,6] => [3,5,1,4,2,6] => 00001 => [5,1]
[3,5,1,4,6,2] => [3,6,1,4,2,5] => 00000 => [6]
[3,5,1,6,2,4] => [3,5,1,6,2,4] => 00000 => [6]
[3,5,1,6,4,2] => [3,6,1,5,2,4] => 00000 => [6]
[3,5,2,1,4,6] => [4,3,1,5,2,6] => 00001 => [5,1]
[3,5,2,1,6,4] => [4,3,1,6,2,5] => 00000 => [6]
[3,5,2,4,1,6] => [5,3,1,4,2,6] => 00001 => [5,1]
[3,5,2,4,6,1] => [6,3,1,4,2,5] => 00000 => [6]
[3,5,2,6,1,4] => [5,3,1,6,2,4] => 00000 => [6]
[3,5,2,6,4,1] => [6,3,1,5,2,4] => 00000 => [6]
[3,5,4,1,2,6] => [4,5,1,3,2,6] => 00001 => [5,1]
[3,5,4,1,6,2] => [4,6,1,3,2,5] => 00000 => [6]
[3,5,4,2,1,6] => [5,4,1,3,2,6] => 00001 => [5,1]
[3,5,4,2,6,1] => [6,4,1,3,2,5] => 00000 => [6]
[3,5,4,6,1,2] => [5,6,1,3,2,4] => 00000 => [6]
[3,5,4,6,2,1] => [6,5,1,3,2,4] => 00000 => [6]
[3,5,6,1,2,4] => [4,5,1,6,2,3] => 00000 => [6]
[3,5,6,1,4,2] => [4,6,1,5,2,3] => 00000 => [6]
[3,5,6,2,1,4] => [5,4,1,6,2,3] => 00000 => [6]
[3,5,6,2,4,1] => [6,4,1,5,2,3] => 00000 => [6]
[3,5,6,4,1,2] => [5,6,1,4,2,3] => 00000 => [6]
[3,5,6,4,2,1] => [6,5,1,4,2,3] => 00000 => [6]
[3,6,1,2,4,5] => [3,4,1,5,6,2] => 00000 => [6]
[3,6,1,2,5,4] => [3,4,1,6,5,2] => 00000 => [6]
[3,6,1,4,2,5] => [3,5,1,4,6,2] => 00000 => [6]
[3,6,1,4,5,2] => [3,6,1,4,5,2] => 00000 => [6]
[3,6,1,5,2,4] => [3,5,1,6,4,2] => 00000 => [6]
[3,6,1,5,4,2] => [3,6,1,5,4,2] => 00000 => [6]
[3,6,2,1,4,5] => [4,3,1,5,6,2] => 00000 => [6]
[3,6,2,1,5,4] => [4,3,1,6,5,2] => 00000 => [6]
[3,6,2,4,1,5] => [5,3,1,4,6,2] => 00000 => [6]
[3,6,2,4,5,1] => [6,3,1,4,5,2] => 00000 => [6]
[3,6,2,5,1,4] => [5,3,1,6,4,2] => 00000 => [6]
[3,6,2,5,4,1] => [6,3,1,5,4,2] => 00000 => [6]
[3,6,4,1,2,5] => [4,5,1,3,6,2] => 00000 => [6]
[3,6,4,1,5,2] => [4,6,1,3,5,2] => 00000 => [6]
[3,6,4,2,1,5] => [5,4,1,3,6,2] => 00000 => [6]
[3,6,4,2,5,1] => [6,4,1,3,5,2] => 00000 => [6]
[3,6,4,5,1,2] => [5,6,1,3,4,2] => 00000 => [6]
[3,6,4,5,2,1] => [6,5,1,3,4,2] => 00000 => [6]
[3,6,5,1,2,4] => [4,5,1,6,3,2] => 00000 => [6]
[3,6,5,1,4,2] => [4,6,1,5,3,2] => 00000 => [6]
[3,6,5,2,1,4] => [5,4,1,6,3,2] => 00000 => [6]
[3,6,5,2,4,1] => [6,4,1,5,3,2] => 00000 => [6]
[3,6,5,4,1,2] => [5,6,1,4,3,2] => 00000 => [6]
[3,6,5,4,2,1] => [6,5,1,4,3,2] => 00000 => [6]
[4,1,2,3,5,6] => [2,3,4,1,5,6] => 00011 => [4,1,1]
[4,1,2,3,6,5] => [2,3,4,1,6,5] => 00010 => [4,2]
[4,1,2,5,3,6] => [2,3,5,1,4,6] => 00001 => [5,1]
[4,1,2,5,6,3] => [2,3,6,1,4,5] => 00000 => [6]
[4,1,2,6,3,5] => [2,3,5,1,6,4] => 00000 => [6]
[4,1,2,6,5,3] => [2,3,6,1,5,4] => 00000 => [6]
[4,1,3,2,5,6] => [2,4,3,1,5,6] => 00011 => [4,1,1]
[4,1,3,2,6,5] => [2,4,3,1,6,5] => 00010 => [4,2]
[4,1,3,5,2,6] => [2,5,3,1,4,6] => 00001 => [5,1]
[4,1,3,5,6,2] => [2,6,3,1,4,5] => 00000 => [6]
[4,1,3,6,2,5] => [2,5,3,1,6,4] => 00000 => [6]
[4,1,3,6,5,2] => [2,6,3,1,5,4] => 00000 => [6]
[4,1,5,2,3,6] => [2,4,5,1,3,6] => 00001 => [5,1]
[4,1,5,2,6,3] => [2,4,6,1,3,5] => 00000 => [6]
[4,1,5,3,2,6] => [2,5,4,1,3,6] => 00001 => [5,1]
[4,1,5,3,6,2] => [2,6,4,1,3,5] => 00000 => [6]
[4,1,5,6,2,3] => [2,5,6,1,3,4] => 00000 => [6]
[4,1,5,6,3,2] => [2,6,5,1,3,4] => 00000 => [6]
[4,1,6,2,3,5] => [2,4,5,1,6,3] => 00000 => [6]
[4,1,6,2,5,3] => [2,4,6,1,5,3] => 00000 => [6]
[4,1,6,3,2,5] => [2,5,4,1,6,3] => 00000 => [6]
[4,1,6,3,5,2] => [2,6,4,1,5,3] => 00000 => [6]
[4,1,6,5,2,3] => [2,5,6,1,4,3] => 00000 => [6]
[4,1,6,5,3,2] => [2,6,5,1,4,3] => 00000 => [6]
[4,2,1,3,5,6] => [3,2,4,1,5,6] => 00011 => [4,1,1]
[4,2,1,3,6,5] => [3,2,4,1,6,5] => 00010 => [4,2]
[4,2,1,5,3,6] => [3,2,5,1,4,6] => 00001 => [5,1]
[4,2,1,5,6,3] => [3,2,6,1,4,5] => 00000 => [6]
[4,2,1,6,3,5] => [3,2,5,1,6,4] => 00000 => [6]
[4,2,1,6,5,3] => [3,2,6,1,5,4] => 00000 => [6]
[4,2,3,1,5,6] => [4,2,3,1,5,6] => 00011 => [4,1,1]
[4,2,3,1,6,5] => [4,2,3,1,6,5] => 00010 => [4,2]
[4,2,3,5,1,6] => [5,2,3,1,4,6] => 00001 => [5,1]
[4,2,3,5,6,1] => [6,2,3,1,4,5] => 00000 => [6]
[4,2,3,6,1,5] => [5,2,3,1,6,4] => 00000 => [6]
[4,2,3,6,5,1] => [6,2,3,1,5,4] => 00000 => [6]
[4,2,5,1,3,6] => [4,2,5,1,3,6] => 00001 => [5,1]
[4,2,5,1,6,3] => [4,2,6,1,3,5] => 00000 => [6]
[4,2,5,3,1,6] => [5,2,4,1,3,6] => 00001 => [5,1]
[4,2,5,3,6,1] => [6,2,4,1,3,5] => 00000 => [6]
[4,2,5,6,1,3] => [5,2,6,1,3,4] => 00000 => [6]
[4,2,5,6,3,1] => [6,2,5,1,3,4] => 00000 => [6]
[4,2,6,1,3,5] => [4,2,5,1,6,3] => 00000 => [6]
[4,2,6,1,5,3] => [4,2,6,1,5,3] => 00000 => [6]
[4,2,6,3,1,5] => [5,2,4,1,6,3] => 00000 => [6]
[4,2,6,3,5,1] => [6,2,4,1,5,3] => 00000 => [6]
[4,2,6,5,1,3] => [5,2,6,1,4,3] => 00000 => [6]
[4,2,6,5,3,1] => [6,2,5,1,4,3] => 00000 => [6]
[4,3,1,2,5,6] => [3,4,2,1,5,6] => 00011 => [4,1,1]
[4,3,1,2,6,5] => [3,4,2,1,6,5] => 00010 => [4,2]
[4,3,1,5,2,6] => [3,5,2,1,4,6] => 00001 => [5,1]
[4,3,1,5,6,2] => [3,6,2,1,4,5] => 00000 => [6]
[4,3,1,6,2,5] => [3,5,2,1,6,4] => 00000 => [6]
[4,3,1,6,5,2] => [3,6,2,1,5,4] => 00000 => [6]
[4,3,2,1,5,6] => [4,3,2,1,5,6] => 00011 => [4,1,1]
[4,3,2,1,6,5] => [4,3,2,1,6,5] => 00010 => [4,2]
[4,3,2,5,1,6] => [5,3,2,1,4,6] => 00001 => [5,1]
[4,3,2,5,6,1] => [6,3,2,1,4,5] => 00000 => [6]
[4,3,2,6,1,5] => [5,3,2,1,6,4] => 00000 => [6]
[4,3,2,6,5,1] => [6,3,2,1,5,4] => 00000 => [6]
[4,3,5,1,2,6] => [4,5,2,1,3,6] => 00001 => [5,1]
[4,3,5,1,6,2] => [4,6,2,1,3,5] => 00000 => [6]
[4,3,5,2,1,6] => [5,4,2,1,3,6] => 00001 => [5,1]
[4,3,5,2,6,1] => [6,4,2,1,3,5] => 00000 => [6]
[4,3,5,6,1,2] => [5,6,2,1,3,4] => 00000 => [6]
[4,3,5,6,2,1] => [6,5,2,1,3,4] => 00000 => [6]
[4,3,6,1,2,5] => [4,5,2,1,6,3] => 00000 => [6]
[4,3,6,1,5,2] => [4,6,2,1,5,3] => 00000 => [6]
[4,3,6,2,1,5] => [5,4,2,1,6,3] => 00000 => [6]
[4,3,6,2,5,1] => [6,4,2,1,5,3] => 00000 => [6]
[4,3,6,5,1,2] => [5,6,2,1,4,3] => 00000 => [6]
[4,3,6,5,2,1] => [6,5,2,1,4,3] => 00000 => [6]
[4,5,1,2,3,6] => [3,4,5,1,2,6] => 00001 => [5,1]
[4,5,1,2,6,3] => [3,4,6,1,2,5] => 00000 => [6]
[4,5,1,3,2,6] => [3,5,4,1,2,6] => 00001 => [5,1]
[4,5,1,3,6,2] => [3,6,4,1,2,5] => 00000 => [6]
[4,5,1,6,2,3] => [3,5,6,1,2,4] => 00000 => [6]
[4,5,1,6,3,2] => [3,6,5,1,2,4] => 00000 => [6]
[4,5,2,1,3,6] => [4,3,5,1,2,6] => 00001 => [5,1]
[4,5,2,1,6,3] => [4,3,6,1,2,5] => 00000 => [6]
[4,5,2,3,1,6] => [5,3,4,1,2,6] => 00001 => [5,1]
[4,5,2,3,6,1] => [6,3,4,1,2,5] => 00000 => [6]
[4,5,2,6,1,3] => [5,3,6,1,2,4] => 00000 => [6]
[4,5,2,6,3,1] => [6,3,5,1,2,4] => 00000 => [6]
[4,5,3,1,2,6] => [4,5,3,1,2,6] => 00001 => [5,1]
[4,5,3,1,6,2] => [4,6,3,1,2,5] => 00000 => [6]
[4,5,3,2,1,6] => [5,4,3,1,2,6] => 00001 => [5,1]
[4,5,3,2,6,1] => [6,4,3,1,2,5] => 00000 => [6]
[4,5,3,6,1,2] => [5,6,3,1,2,4] => 00000 => [6]
[4,5,3,6,2,1] => [6,5,3,1,2,4] => 00000 => [6]
[4,5,6,1,2,3] => [4,5,6,1,2,3] => 00000 => [6]
[4,5,6,1,3,2] => [4,6,5,1,2,3] => 00000 => [6]
[4,5,6,2,1,3] => [5,4,6,1,2,3] => 00000 => [6]
[4,5,6,2,3,1] => [6,4,5,1,2,3] => 00000 => [6]
[4,5,6,3,1,2] => [5,6,4,1,2,3] => 00000 => [6]
[4,5,6,3,2,1] => [6,5,4,1,2,3] => 00000 => [6]
[4,6,1,2,3,5] => [3,4,5,1,6,2] => 00000 => [6]
[4,6,1,2,5,3] => [3,4,6,1,5,2] => 00000 => [6]
[4,6,1,3,2,5] => [3,5,4,1,6,2] => 00000 => [6]
[4,6,1,3,5,2] => [3,6,4,1,5,2] => 00000 => [6]
[4,6,1,5,2,3] => [3,5,6,1,4,2] => 00000 => [6]
[4,6,1,5,3,2] => [3,6,5,1,4,2] => 00000 => [6]
[4,6,2,1,3,5] => [4,3,5,1,6,2] => 00000 => [6]
[4,6,2,1,5,3] => [4,3,6,1,5,2] => 00000 => [6]
[4,6,2,3,1,5] => [5,3,4,1,6,2] => 00000 => [6]
[4,6,2,3,5,1] => [6,3,4,1,5,2] => 00000 => [6]
[4,6,2,5,1,3] => [5,3,6,1,4,2] => 00000 => [6]
[4,6,2,5,3,1] => [6,3,5,1,4,2] => 00000 => [6]
[4,6,3,1,2,5] => [4,5,3,1,6,2] => 00000 => [6]
[4,6,3,1,5,2] => [4,6,3,1,5,2] => 00000 => [6]
[4,6,3,2,1,5] => [5,4,3,1,6,2] => 00000 => [6]
[4,6,3,2,5,1] => [6,4,3,1,5,2] => 00000 => [6]
[4,6,3,5,1,2] => [5,6,3,1,4,2] => 00000 => [6]
[4,6,3,5,2,1] => [6,5,3,1,4,2] => 00000 => [6]
[4,6,5,1,2,3] => [4,5,6,1,3,2] => 00000 => [6]
[4,6,5,1,3,2] => [4,6,5,1,3,2] => 00000 => [6]
[4,6,5,2,1,3] => [5,4,6,1,3,2] => 00000 => [6]
[4,6,5,2,3,1] => [6,4,5,1,3,2] => 00000 => [6]
[4,6,5,3,1,2] => [5,6,4,1,3,2] => 00000 => [6]
[4,6,5,3,2,1] => [6,5,4,1,3,2] => 00000 => [6]
[5,1,2,3,4,6] => [2,3,4,5,1,6] => 00001 => [5,1]
[5,1,2,3,6,4] => [2,3,4,6,1,5] => 00000 => [6]
[5,1,2,4,3,6] => [2,3,5,4,1,6] => 00001 => [5,1]
[5,1,2,4,6,3] => [2,3,6,4,1,5] => 00000 => [6]
[5,1,2,6,3,4] => [2,3,5,6,1,4] => 00000 => [6]
[5,1,2,6,4,3] => [2,3,6,5,1,4] => 00000 => [6]
[5,1,3,2,4,6] => [2,4,3,5,1,6] => 00001 => [5,1]
[5,1,3,2,6,4] => [2,4,3,6,1,5] => 00000 => [6]
[5,1,3,4,2,6] => [2,5,3,4,1,6] => 00001 => [5,1]
[5,1,3,4,6,2] => [2,6,3,4,1,5] => 00000 => [6]
[5,1,3,6,2,4] => [2,5,3,6,1,4] => 00000 => [6]
[5,1,3,6,4,2] => [2,6,3,5,1,4] => 00000 => [6]
[5,1,4,2,3,6] => [2,4,5,3,1,6] => 00001 => [5,1]
[5,1,4,2,6,3] => [2,4,6,3,1,5] => 00000 => [6]
[5,1,4,3,2,6] => [2,5,4,3,1,6] => 00001 => [5,1]
[5,1,4,3,6,2] => [2,6,4,3,1,5] => 00000 => [6]
[5,1,4,6,2,3] => [2,5,6,3,1,4] => 00000 => [6]
[5,1,4,6,3,2] => [2,6,5,3,1,4] => 00000 => [6]
[5,1,6,2,3,4] => [2,4,5,6,1,3] => 00000 => [6]
[5,1,6,2,4,3] => [2,4,6,5,1,3] => 00000 => [6]
[5,1,6,3,2,4] => [2,5,4,6,1,3] => 00000 => [6]
[5,1,6,3,4,2] => [2,6,4,5,1,3] => 00000 => [6]
[5,1,6,4,2,3] => [2,5,6,4,1,3] => 00000 => [6]
[5,1,6,4,3,2] => [2,6,5,4,1,3] => 00000 => [6]
[5,2,1,3,4,6] => [3,2,4,5,1,6] => 00001 => [5,1]
[5,2,1,3,6,4] => [3,2,4,6,1,5] => 00000 => [6]
[5,2,1,4,3,6] => [3,2,5,4,1,6] => 00001 => [5,1]
[5,2,1,4,6,3] => [3,2,6,4,1,5] => 00000 => [6]
[5,2,1,6,3,4] => [3,2,5,6,1,4] => 00000 => [6]
[5,2,1,6,4,3] => [3,2,6,5,1,4] => 00000 => [6]
[5,2,3,1,4,6] => [4,2,3,5,1,6] => 00001 => [5,1]
[5,2,3,1,6,4] => [4,2,3,6,1,5] => 00000 => [6]
[5,2,3,4,1,6] => [5,2,3,4,1,6] => 00001 => [5,1]
[5,2,3,4,6,1] => [6,2,3,4,1,5] => 00000 => [6]
[5,2,3,6,1,4] => [5,2,3,6,1,4] => 00000 => [6]
[5,2,3,6,4,1] => [6,2,3,5,1,4] => 00000 => [6]
[5,2,4,1,3,6] => [4,2,5,3,1,6] => 00001 => [5,1]
[5,2,4,1,6,3] => [4,2,6,3,1,5] => 00000 => [6]
[5,2,4,3,1,6] => [5,2,4,3,1,6] => 00001 => [5,1]
[5,2,4,3,6,1] => [6,2,4,3,1,5] => 00000 => [6]
[5,2,4,6,1,3] => [5,2,6,3,1,4] => 00000 => [6]
[5,2,4,6,3,1] => [6,2,5,3,1,4] => 00000 => [6]
[5,2,6,1,3,4] => [4,2,5,6,1,3] => 00000 => [6]
[5,2,6,1,4,3] => [4,2,6,5,1,3] => 00000 => [6]
[5,2,6,3,1,4] => [5,2,4,6,1,3] => 00000 => [6]
[5,2,6,3,4,1] => [6,2,4,5,1,3] => 00000 => [6]
[5,2,6,4,1,3] => [5,2,6,4,1,3] => 00000 => [6]
[5,2,6,4,3,1] => [6,2,5,4,1,3] => 00000 => [6]
[5,3,1,2,4,6] => [3,4,2,5,1,6] => 00001 => [5,1]
[5,3,1,2,6,4] => [3,4,2,6,1,5] => 00000 => [6]
[5,3,1,4,2,6] => [3,5,2,4,1,6] => 00001 => [5,1]
[5,3,1,4,6,2] => [3,6,2,4,1,5] => 00000 => [6]
[5,3,1,6,2,4] => [3,5,2,6,1,4] => 00000 => [6]
[5,3,1,6,4,2] => [3,6,2,5,1,4] => 00000 => [6]
[5,3,2,1,4,6] => [4,3,2,5,1,6] => 00001 => [5,1]
[5,3,2,1,6,4] => [4,3,2,6,1,5] => 00000 => [6]
[5,3,2,4,1,6] => [5,3,2,4,1,6] => 00001 => [5,1]
[5,3,2,4,6,1] => [6,3,2,4,1,5] => 00000 => [6]
[5,3,2,6,1,4] => [5,3,2,6,1,4] => 00000 => [6]
[5,3,2,6,4,1] => [6,3,2,5,1,4] => 00000 => [6]
[5,3,4,1,2,6] => [4,5,2,3,1,6] => 00001 => [5,1]
[5,3,4,1,6,2] => [4,6,2,3,1,5] => 00000 => [6]
[5,3,4,2,1,6] => [5,4,2,3,1,6] => 00001 => [5,1]
[5,3,4,2,6,1] => [6,4,2,3,1,5] => 00000 => [6]
[5,3,4,6,1,2] => [5,6,2,3,1,4] => 00000 => [6]
[5,3,4,6,2,1] => [6,5,2,3,1,4] => 00000 => [6]
[5,3,6,1,2,4] => [4,5,2,6,1,3] => 00000 => [6]
[5,3,6,1,4,2] => [4,6,2,5,1,3] => 00000 => [6]
[5,3,6,2,1,4] => [5,4,2,6,1,3] => 00000 => [6]
[5,3,6,2,4,1] => [6,4,2,5,1,3] => 00000 => [6]
[5,3,6,4,1,2] => [5,6,2,4,1,3] => 00000 => [6]
[5,3,6,4,2,1] => [6,5,2,4,1,3] => 00000 => [6]
[5,4,1,2,3,6] => [3,4,5,2,1,6] => 00001 => [5,1]
[5,4,1,2,6,3] => [3,4,6,2,1,5] => 00000 => [6]
[5,4,1,3,2,6] => [3,5,4,2,1,6] => 00001 => [5,1]
[5,4,1,3,6,2] => [3,6,4,2,1,5] => 00000 => [6]
[5,4,1,6,2,3] => [3,5,6,2,1,4] => 00000 => [6]
[5,4,1,6,3,2] => [3,6,5,2,1,4] => 00000 => [6]
[5,4,2,1,3,6] => [4,3,5,2,1,6] => 00001 => [5,1]
[5,4,2,1,6,3] => [4,3,6,2,1,5] => 00000 => [6]
[5,4,2,3,1,6] => [5,3,4,2,1,6] => 00001 => [5,1]
[5,4,2,3,6,1] => [6,3,4,2,1,5] => 00000 => [6]
[5,4,2,6,1,3] => [5,3,6,2,1,4] => 00000 => [6]
[5,4,2,6,3,1] => [6,3,5,2,1,4] => 00000 => [6]
[5,4,3,1,2,6] => [4,5,3,2,1,6] => 00001 => [5,1]
[5,4,3,1,6,2] => [4,6,3,2,1,5] => 00000 => [6]
[5,4,3,2,1,6] => [5,4,3,2,1,6] => 00001 => [5,1]
[5,4,3,2,6,1] => [6,4,3,2,1,5] => 00000 => [6]
[5,4,3,6,1,2] => [5,6,3,2,1,4] => 00000 => [6]
[5,4,3,6,2,1] => [6,5,3,2,1,4] => 00000 => [6]
[5,4,6,1,2,3] => [4,5,6,2,1,3] => 00000 => [6]
[5,4,6,1,3,2] => [4,6,5,2,1,3] => 00000 => [6]
[5,4,6,2,1,3] => [5,4,6,2,1,3] => 00000 => [6]
[5,4,6,2,3,1] => [6,4,5,2,1,3] => 00000 => [6]
[5,4,6,3,1,2] => [5,6,4,2,1,3] => 00000 => [6]
[5,4,6,3,2,1] => [6,5,4,2,1,3] => 00000 => [6]
[5,6,1,2,3,4] => [3,4,5,6,1,2] => 00000 => [6]
[5,6,1,2,4,3] => [3,4,6,5,1,2] => 00000 => [6]
[5,6,1,3,2,4] => [3,5,4,6,1,2] => 00000 => [6]
[5,6,1,3,4,2] => [3,6,4,5,1,2] => 00000 => [6]
[5,6,1,4,2,3] => [3,5,6,4,1,2] => 00000 => [6]
[5,6,1,4,3,2] => [3,6,5,4,1,2] => 00000 => [6]
[5,6,2,1,3,4] => [4,3,5,6,1,2] => 00000 => [6]
[5,6,2,1,4,3] => [4,3,6,5,1,2] => 00000 => [6]
[5,6,2,3,1,4] => [5,3,4,6,1,2] => 00000 => [6]
[5,6,2,3,4,1] => [6,3,4,5,1,2] => 00000 => [6]
[5,6,2,4,1,3] => [5,3,6,4,1,2] => 00000 => [6]
[5,6,2,4,3,1] => [6,3,5,4,1,2] => 00000 => [6]
[5,6,3,1,2,4] => [4,5,3,6,1,2] => 00000 => [6]
[5,6,3,1,4,2] => [4,6,3,5,1,2] => 00000 => [6]
[5,6,3,2,1,4] => [5,4,3,6,1,2] => 00000 => [6]
[5,6,3,2,4,1] => [6,4,3,5,1,2] => 00000 => [6]
[5,6,3,4,1,2] => [5,6,3,4,1,2] => 00000 => [6]
[5,6,3,4,2,1] => [6,5,3,4,1,2] => 00000 => [6]
[5,6,4,1,2,3] => [4,5,6,3,1,2] => 00000 => [6]
[5,6,4,1,3,2] => [4,6,5,3,1,2] => 00000 => [6]
[5,6,4,2,1,3] => [5,4,6,3,1,2] => 00000 => [6]
[5,6,4,2,3,1] => [6,4,5,3,1,2] => 00000 => [6]
[5,6,4,3,1,2] => [5,6,4,3,1,2] => 00000 => [6]
[5,6,4,3,2,1] => [6,5,4,3,1,2] => 00000 => [6]
[6,1,2,3,4,5] => [2,3,4,5,6,1] => 00000 => [6]
[6,1,2,3,5,4] => [2,3,4,6,5,1] => 00000 => [6]
[6,1,2,4,3,5] => [2,3,5,4,6,1] => 00000 => [6]
[6,1,2,4,5,3] => [2,3,6,4,5,1] => 00000 => [6]
[6,1,2,5,3,4] => [2,3,5,6,4,1] => 00000 => [6]
[6,1,2,5,4,3] => [2,3,6,5,4,1] => 00000 => [6]
[6,1,3,2,4,5] => [2,4,3,5,6,1] => 00000 => [6]
[6,1,3,2,5,4] => [2,4,3,6,5,1] => 00000 => [6]
[6,1,3,4,2,5] => [2,5,3,4,6,1] => 00000 => [6]
[6,1,3,4,5,2] => [2,6,3,4,5,1] => 00000 => [6]
[6,1,3,5,2,4] => [2,5,3,6,4,1] => 00000 => [6]
[6,1,3,5,4,2] => [2,6,3,5,4,1] => 00000 => [6]
[6,1,4,2,3,5] => [2,4,5,3,6,1] => 00000 => [6]
[6,1,4,2,5,3] => [2,4,6,3,5,1] => 00000 => [6]
[6,1,4,3,2,5] => [2,5,4,3,6,1] => 00000 => [6]
[6,1,4,3,5,2] => [2,6,4,3,5,1] => 00000 => [6]
[6,1,4,5,2,3] => [2,5,6,3,4,1] => 00000 => [6]
[6,1,4,5,3,2] => [2,6,5,3,4,1] => 00000 => [6]
[6,1,5,2,3,4] => [2,4,5,6,3,1] => 00000 => [6]
[6,1,5,2,4,3] => [2,4,6,5,3,1] => 00000 => [6]
[6,1,5,3,2,4] => [2,5,4,6,3,1] => 00000 => [6]
[6,1,5,3,4,2] => [2,6,4,5,3,1] => 00000 => [6]
[6,1,5,4,2,3] => [2,5,6,4,3,1] => 00000 => [6]
[6,1,5,4,3,2] => [2,6,5,4,3,1] => 00000 => [6]
[6,2,1,3,4,5] => [3,2,4,5,6,1] => 00000 => [6]
[6,2,1,3,5,4] => [3,2,4,6,5,1] => 00000 => [6]
[6,2,1,4,3,5] => [3,2,5,4,6,1] => 00000 => [6]
[6,2,1,4,5,3] => [3,2,6,4,5,1] => 00000 => [6]
[6,2,1,5,3,4] => [3,2,5,6,4,1] => 00000 => [6]
[6,2,1,5,4,3] => [3,2,6,5,4,1] => 00000 => [6]
[6,2,3,1,4,5] => [4,2,3,5,6,1] => 00000 => [6]
[6,2,3,1,5,4] => [4,2,3,6,5,1] => 00000 => [6]
[6,2,3,4,1,5] => [5,2,3,4,6,1] => 00000 => [6]
[6,2,3,4,5,1] => [6,2,3,4,5,1] => 00000 => [6]
[6,2,3,5,1,4] => [5,2,3,6,4,1] => 00000 => [6]
[6,2,3,5,4,1] => [6,2,3,5,4,1] => 00000 => [6]
[6,2,4,1,3,5] => [4,2,5,3,6,1] => 00000 => [6]
[6,2,4,1,5,3] => [4,2,6,3,5,1] => 00000 => [6]
[6,2,4,3,1,5] => [5,2,4,3,6,1] => 00000 => [6]
[6,2,4,3,5,1] => [6,2,4,3,5,1] => 00000 => [6]
[6,2,4,5,1,3] => [5,2,6,3,4,1] => 00000 => [6]
[6,2,4,5,3,1] => [6,2,5,3,4,1] => 00000 => [6]
[6,2,5,1,3,4] => [4,2,5,6,3,1] => 00000 => [6]
[6,2,5,1,4,3] => [4,2,6,5,3,1] => 00000 => [6]
[6,2,5,3,1,4] => [5,2,4,6,3,1] => 00000 => [6]
[6,2,5,3,4,1] => [6,2,4,5,3,1] => 00000 => [6]
[6,2,5,4,1,3] => [5,2,6,4,3,1] => 00000 => [6]
[6,2,5,4,3,1] => [6,2,5,4,3,1] => 00000 => [6]
[6,3,1,2,4,5] => [3,4,2,5,6,1] => 00000 => [6]
[6,3,1,2,5,4] => [3,4,2,6,5,1] => 00000 => [6]
[6,3,1,4,2,5] => [3,5,2,4,6,1] => 00000 => [6]
[6,3,1,4,5,2] => [3,6,2,4,5,1] => 00000 => [6]
[6,3,1,5,2,4] => [3,5,2,6,4,1] => 00000 => [6]
[6,3,1,5,4,2] => [3,6,2,5,4,1] => 00000 => [6]
[6,3,2,1,4,5] => [4,3,2,5,6,1] => 00000 => [6]
[6,3,2,1,5,4] => [4,3,2,6,5,1] => 00000 => [6]
[6,3,2,4,1,5] => [5,3,2,4,6,1] => 00000 => [6]
[6,3,2,4,5,1] => [6,3,2,4,5,1] => 00000 => [6]
[6,3,2,5,1,4] => [5,3,2,6,4,1] => 00000 => [6]
[6,3,2,5,4,1] => [6,3,2,5,4,1] => 00000 => [6]
[6,3,4,1,2,5] => [4,5,2,3,6,1] => 00000 => [6]
[6,3,4,1,5,2] => [4,6,2,3,5,1] => 00000 => [6]
[6,3,4,2,1,5] => [5,4,2,3,6,1] => 00000 => [6]
[6,3,4,2,5,1] => [6,4,2,3,5,1] => 00000 => [6]
[6,3,4,5,1,2] => [5,6,2,3,4,1] => 00000 => [6]
[6,3,4,5,2,1] => [6,5,2,3,4,1] => 00000 => [6]
[6,3,5,1,2,4] => [4,5,2,6,3,1] => 00000 => [6]
[6,3,5,1,4,2] => [4,6,2,5,3,1] => 00000 => [6]
[6,3,5,2,1,4] => [5,4,2,6,3,1] => 00000 => [6]
[6,3,5,2,4,1] => [6,4,2,5,3,1] => 00000 => [6]
[6,3,5,4,1,2] => [5,6,2,4,3,1] => 00000 => [6]
[6,3,5,4,2,1] => [6,5,2,4,3,1] => 00000 => [6]
[6,4,1,2,3,5] => [3,4,5,2,6,1] => 00000 => [6]
[6,4,1,2,5,3] => [3,4,6,2,5,1] => 00000 => [6]
[6,4,1,3,2,5] => [3,5,4,2,6,1] => 00000 => [6]
[6,4,1,3,5,2] => [3,6,4,2,5,1] => 00000 => [6]
[6,4,1,5,2,3] => [3,5,6,2,4,1] => 00000 => [6]
[6,4,1,5,3,2] => [3,6,5,2,4,1] => 00000 => [6]
[6,4,2,1,3,5] => [4,3,5,2,6,1] => 00000 => [6]
[6,4,2,1,5,3] => [4,3,6,2,5,1] => 00000 => [6]
[6,4,2,3,1,5] => [5,3,4,2,6,1] => 00000 => [6]
[6,4,2,3,5,1] => [6,3,4,2,5,1] => 00000 => [6]
[6,4,2,5,1,3] => [5,3,6,2,4,1] => 00000 => [6]
[6,4,2,5,3,1] => [6,3,5,2,4,1] => 00000 => [6]
[6,4,3,1,2,5] => [4,5,3,2,6,1] => 00000 => [6]
[6,4,3,1,5,2] => [4,6,3,2,5,1] => 00000 => [6]
[6,4,3,2,1,5] => [5,4,3,2,6,1] => 00000 => [6]
[6,4,3,2,5,1] => [6,4,3,2,5,1] => 00000 => [6]
[6,4,3,5,1,2] => [5,6,3,2,4,1] => 00000 => [6]
[6,4,3,5,2,1] => [6,5,3,2,4,1] => 00000 => [6]
[6,4,5,1,2,3] => [4,5,6,2,3,1] => 00000 => [6]
[6,4,5,1,3,2] => [4,6,5,2,3,1] => 00000 => [6]
[6,4,5,2,1,3] => [5,4,6,2,3,1] => 00000 => [6]
[6,4,5,2,3,1] => [6,4,5,2,3,1] => 00000 => [6]
[6,4,5,3,1,2] => [5,6,4,2,3,1] => 00000 => [6]
[6,4,5,3,2,1] => [6,5,4,2,3,1] => 00000 => [6]
[6,5,1,2,3,4] => [3,4,5,6,2,1] => 00000 => [6]
[6,5,1,2,4,3] => [3,4,6,5,2,1] => 00000 => [6]
[6,5,1,3,2,4] => [3,5,4,6,2,1] => 00000 => [6]
[6,5,1,3,4,2] => [3,6,4,5,2,1] => 00000 => [6]
[6,5,1,4,2,3] => [3,5,6,4,2,1] => 00000 => [6]
[6,5,1,4,3,2] => [3,6,5,4,2,1] => 00000 => [6]
[6,5,2,1,3,4] => [4,3,5,6,2,1] => 00000 => [6]
[6,5,2,1,4,3] => [4,3,6,5,2,1] => 00000 => [6]
[6,5,2,3,1,4] => [5,3,4,6,2,1] => 00000 => [6]
[6,5,2,3,4,1] => [6,3,4,5,2,1] => 00000 => [6]
[6,5,2,4,1,3] => [5,3,6,4,2,1] => 00000 => [6]
[6,5,2,4,3,1] => [6,3,5,4,2,1] => 00000 => [6]
[6,5,3,1,2,4] => [4,5,3,6,2,1] => 00000 => [6]
[6,5,3,1,4,2] => [4,6,3,5,2,1] => 00000 => [6]
[6,5,3,2,1,4] => [5,4,3,6,2,1] => 00000 => [6]
[6,5,3,2,4,1] => [6,4,3,5,2,1] => 00000 => [6]
[6,5,3,4,1,2] => [5,6,3,4,2,1] => 00000 => [6]
[6,5,3,4,2,1] => [6,5,3,4,2,1] => 00000 => [6]
[6,5,4,1,2,3] => [4,5,6,3,2,1] => 00000 => [6]
[6,5,4,1,3,2] => [4,6,5,3,2,1] => 00000 => [6]
[6,5,4,2,1,3] => [5,4,6,3,2,1] => 00000 => [6]
[6,5,4,2,3,1] => [6,4,5,3,2,1] => 00000 => [6]
[6,5,4,3,1,2] => [5,6,4,3,2,1] => 00000 => [6]
[6,5,4,3,2,1] => [6,5,4,3,2,1] => 00000 => [6]
Map
to car permutation
Description
Maps a parking function to the permutation of cars that correspond to that parking function.
For example, the image $[2, 4, 5, 6, 3, 1, 7]$ means that car 2 takes spots 1, car 4 takes spot 2, and so on.
For example, the image $[2, 4, 5, 6, 3, 1, 7]$ means that car 2 takes spots 1, car 4 takes spot 2, and so on.
Map
connectivity set
Description
The connectivity set of a permutation as a binary word.
According to [2], also known as the global ascent set.
The connectivity set is
$$C(\pi)=\{i\in [n-1] | \forall 1 \leq j \leq i < k \leq n : \pi(j) < \pi(k)\}.$$
For $n > 1$ it can also be described as the set of occurrences of the mesh pattern
$$([1,2], \{(0,2),(1,0),(1,1),(2,0),(2,1) \})$$
or equivalently
$$([1,2], \{(0,1),(0,2),(1,1),(1,2),(2,0) \}),$$
see [3].
The permutation is connected, when the connectivity set is empty.
According to [2], also known as the global ascent set.
The connectivity set is
$$C(\pi)=\{i\in [n-1] | \forall 1 \leq j \leq i < k \leq n : \pi(j) < \pi(k)\}.$$
For $n > 1$ it can also be described as the set of occurrences of the mesh pattern
$$([1,2], \{(0,2),(1,0),(1,1),(2,0),(2,1) \})$$
or equivalently
$$([1,2], \{(0,1),(0,2),(1,1),(1,2),(2,0) \}),$$
see [3].
The permutation is connected, when the connectivity set is empty.
Map
to composition
Description
The composition corresponding to a binary word.
Prepending $1$ to a binary word $w$, the $i$-th part of the composition equals $1$ plus the number of zeros after the $i$-th $1$ in $w$.
This map is not surjective, since the empty composition does not have a preimage.
Prepending $1$ to a binary word $w$, the $i$-th part of the composition equals $1$ plus the number of zeros after the $i$-th $1$ in $w$.
This map is not surjective, since the empty composition does not have a preimage.
searching the database
Sorry, this map was not found in the database.