Identifier
Values
[1] => [1] => [1,0,1,0] => [1,2] => 1
[1,1] => [1,1] => [1,0,1,1,0,0] => [1,3,2] => 1
[2] => [2] => [1,1,0,0,1,0] => [2,1,3] => 2
[1,1,1] => [1,1,1] => [1,0,1,1,1,0,0,0] => [1,4,3,2] => 1
[1,2] => [2,1] => [1,0,1,0,1,0] => [1,2,3] => 1
[2,1] => [2,1] => [1,0,1,0,1,0] => [1,2,3] => 1
[3] => [3] => [1,1,1,0,0,0,1,0] => [3,2,1,4] => 3
[1,1,1,1] => [1,1,1,1] => [1,0,1,1,1,1,0,0,0,0] => [1,5,4,3,2] => 1
[1,1,2] => [2,1,1] => [1,0,1,1,0,1,0,0] => [1,3,4,2] => 1
[1,2,1] => [2,1,1] => [1,0,1,1,0,1,0,0] => [1,3,4,2] => 1
[1,3] => [3,1] => [1,1,0,1,0,0,1,0] => [2,3,1,4] => 1
[2,1,1] => [2,1,1] => [1,0,1,1,0,1,0,0] => [1,3,4,2] => 1
[2,2] => [2,2] => [1,1,0,0,1,1,0,0] => [2,1,4,3] => 2
[3,1] => [3,1] => [1,1,0,1,0,0,1,0] => [2,3,1,4] => 1
[4] => [4] => [1,1,1,1,0,0,0,0,1,0] => [4,3,2,1,5] => 4
[1,1,1,1,1] => [1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,6,5,4,3,2] => 1
[1,1,1,2] => [2,1,1,1] => [1,0,1,1,1,0,1,0,0,0] => [1,4,5,3,2] => 1
[1,1,2,1] => [2,1,1,1] => [1,0,1,1,1,0,1,0,0,0] => [1,4,5,3,2] => 1
[1,1,3] => [3,1,1] => [1,0,1,1,0,0,1,0] => [1,3,2,4] => 1
[1,2,1,1] => [2,1,1,1] => [1,0,1,1,1,0,1,0,0,0] => [1,4,5,3,2] => 1
[1,2,2] => [2,2,1] => [1,0,1,0,1,1,0,0] => [1,2,4,3] => 1
[1,3,1] => [3,1,1] => [1,0,1,1,0,0,1,0] => [1,3,2,4] => 1
[1,4] => [4,1] => [1,1,1,0,1,0,0,0,1,0] => [3,4,2,1,5] => 1
[2,1,1,1] => [2,1,1,1] => [1,0,1,1,1,0,1,0,0,0] => [1,4,5,3,2] => 1
[2,1,2] => [2,2,1] => [1,0,1,0,1,1,0,0] => [1,2,4,3] => 1
[2,2,1] => [2,2,1] => [1,0,1,0,1,1,0,0] => [1,2,4,3] => 1
[2,3] => [3,2] => [1,1,0,0,1,0,1,0] => [2,1,3,4] => 2
[3,1,1] => [3,1,1] => [1,0,1,1,0,0,1,0] => [1,3,2,4] => 1
[3,2] => [3,2] => [1,1,0,0,1,0,1,0] => [2,1,3,4] => 2
[4,1] => [4,1] => [1,1,1,0,1,0,0,0,1,0] => [3,4,2,1,5] => 1
[5] => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5,4,3,2,1,6] => 5
[1,1,1,1,2] => [2,1,1,1,1] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,5,6,4,3,2] => 1
[1,1,1,2,1] => [2,1,1,1,1] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,5,6,4,3,2] => 1
[1,1,1,3] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => [1,4,3,5,2] => 1
[1,1,2,1,1] => [2,1,1,1,1] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,5,6,4,3,2] => 1
[1,1,2,2] => [2,2,1,1] => [1,0,1,1,0,1,1,0,0,0] => [1,3,5,4,2] => 1
[1,1,3,1] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => [1,4,3,5,2] => 1
[1,1,4] => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => [2,4,3,1,5] => 1
[1,2,1,1,1] => [2,1,1,1,1] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,5,6,4,3,2] => 1
[1,2,1,2] => [2,2,1,1] => [1,0,1,1,0,1,1,0,0,0] => [1,3,5,4,2] => 1
[1,2,2,1] => [2,2,1,1] => [1,0,1,1,0,1,1,0,0,0] => [1,3,5,4,2] => 1
[1,2,3] => [3,2,1] => [1,0,1,0,1,0,1,0] => [1,2,3,4] => 1
[1,3,1,1] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => [1,4,3,5,2] => 1
[1,3,2] => [3,2,1] => [1,0,1,0,1,0,1,0] => [1,2,3,4] => 1
[1,4,1] => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => [2,4,3,1,5] => 1
[1,5] => [5,1] => [1,1,1,1,0,1,0,0,0,0,1,0] => [4,5,3,2,1,6] => 1
[2,1,1,1,1] => [2,1,1,1,1] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,5,6,4,3,2] => 1
[2,1,1,2] => [2,2,1,1] => [1,0,1,1,0,1,1,0,0,0] => [1,3,5,4,2] => 1
[2,1,2,1] => [2,2,1,1] => [1,0,1,1,0,1,1,0,0,0] => [1,3,5,4,2] => 1
[2,1,3] => [3,2,1] => [1,0,1,0,1,0,1,0] => [1,2,3,4] => 1
[2,2,1,1] => [2,2,1,1] => [1,0,1,1,0,1,1,0,0,0] => [1,3,5,4,2] => 1
[2,2,2] => [2,2,2] => [1,1,0,0,1,1,1,0,0,0] => [2,1,5,4,3] => 2
[2,3,1] => [3,2,1] => [1,0,1,0,1,0,1,0] => [1,2,3,4] => 1
[2,4] => [4,2] => [1,1,1,0,0,1,0,0,1,0] => [3,2,4,1,5] => 2
[3,1,1,1] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => [1,4,3,5,2] => 1
[3,1,2] => [3,2,1] => [1,0,1,0,1,0,1,0] => [1,2,3,4] => 1
[3,2,1] => [3,2,1] => [1,0,1,0,1,0,1,0] => [1,2,3,4] => 1
[3,3] => [3,3] => [1,1,1,0,0,0,1,1,0,0] => [3,2,1,5,4] => 3
[4,1,1] => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => [2,4,3,1,5] => 1
[4,2] => [4,2] => [1,1,1,0,0,1,0,0,1,0] => [3,2,4,1,5] => 2
[5,1] => [5,1] => [1,1,1,1,0,1,0,0,0,0,1,0] => [4,5,3,2,1,6] => 1
[1,1,1,1,3] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => [1,5,4,6,3,2] => 1
[1,1,1,2,2] => [2,2,1,1,1] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,4,6,5,3,2] => 1
[1,1,1,3,1] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => [1,5,4,6,3,2] => 1
[1,1,1,4] => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => [1,4,3,2,5] => 1
[1,1,2,1,2] => [2,2,1,1,1] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,4,6,5,3,2] => 1
[1,1,2,2,1] => [2,2,1,1,1] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,4,6,5,3,2] => 1
[1,1,2,3] => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [1,3,4,5,2] => 1
[1,1,3,1,1] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => [1,5,4,6,3,2] => 1
[1,1,3,2] => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [1,3,4,5,2] => 1
[1,1,4,1] => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => [1,4,3,2,5] => 1
[1,1,5] => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [3,5,4,2,1,6] => 1
[1,2,1,1,2] => [2,2,1,1,1] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,4,6,5,3,2] => 1
[1,2,1,2,1] => [2,2,1,1,1] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,4,6,5,3,2] => 1
[1,2,1,3] => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [1,3,4,5,2] => 1
[1,2,2,1,1] => [2,2,1,1,1] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,4,6,5,3,2] => 1
[1,2,2,2] => [2,2,2,1] => [1,0,1,0,1,1,1,0,0,0] => [1,2,5,4,3] => 1
[1,2,3,1] => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [1,3,4,5,2] => 1
[1,2,4] => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [2,3,4,1,5] => 1
[1,3,1,1,1] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => [1,5,4,6,3,2] => 1
[1,3,1,2] => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [1,3,4,5,2] => 1
[1,3,2,1] => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [1,3,4,5,2] => 1
[1,3,3] => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [2,3,1,5,4] => 1
[1,4,1,1] => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => [1,4,3,2,5] => 1
[1,4,2] => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [2,3,4,1,5] => 1
[1,5,1] => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [3,5,4,2,1,6] => 1
[2,1,1,1,2] => [2,2,1,1,1] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,4,6,5,3,2] => 1
[2,1,1,2,1] => [2,2,1,1,1] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,4,6,5,3,2] => 1
[2,1,1,3] => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [1,3,4,5,2] => 1
[2,1,2,1,1] => [2,2,1,1,1] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,4,6,5,3,2] => 1
[2,1,2,2] => [2,2,2,1] => [1,0,1,0,1,1,1,0,0,0] => [1,2,5,4,3] => 1
[2,1,3,1] => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [1,3,4,5,2] => 1
[2,1,4] => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [2,3,4,1,5] => 1
[2,2,1,1,1] => [2,2,1,1,1] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,4,6,5,3,2] => 1
[2,2,1,2] => [2,2,2,1] => [1,0,1,0,1,1,1,0,0,0] => [1,2,5,4,3] => 1
[2,2,2,1] => [2,2,2,1] => [1,0,1,0,1,1,1,0,0,0] => [1,2,5,4,3] => 1
[2,2,3] => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [2,1,4,5,3] => 2
[2,3,1,1] => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [1,3,4,5,2] => 1
[2,3,2] => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [2,1,4,5,3] => 2
[2,4,1] => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [2,3,4,1,5] => 1
[2,5] => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => [4,3,5,2,1,6] => 2
>>> Load all 815 entries. <<<
[3,1,1,1,1] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => [1,5,4,6,3,2] => 1
[3,1,1,2] => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [1,3,4,5,2] => 1
[3,1,2,1] => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [1,3,4,5,2] => 1
[3,1,3] => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [2,3,1,5,4] => 1
[3,2,1,1] => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [1,3,4,5,2] => 1
[3,2,2] => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [2,1,4,5,3] => 2
[3,3,1] => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [2,3,1,5,4] => 1
[3,4] => [4,3] => [1,1,1,0,0,0,1,0,1,0] => [3,2,1,4,5] => 3
[4,1,1,1] => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => [1,4,3,2,5] => 1
[4,1,2] => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [2,3,4,1,5] => 1
[4,2,1] => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [2,3,4,1,5] => 1
[4,3] => [4,3] => [1,1,1,0,0,0,1,0,1,0] => [3,2,1,4,5] => 3
[5,1,1] => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [3,5,4,2,1,6] => 1
[5,2] => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => [4,3,5,2,1,6] => 2
[1,1,1,1,4] => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [1,5,4,3,6,2] => 1
[1,1,1,2,3] => [3,2,1,1,1] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,4,5,6,3,2] => 1
[1,1,1,3,2] => [3,2,1,1,1] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,4,5,6,3,2] => 1
[1,1,1,4,1] => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [1,5,4,3,6,2] => 1
[1,1,1,5] => [5,1,1,1] => [1,1,0,1,1,1,0,0,0,0,1,0] => [2,5,4,3,1,6] => 1
[1,1,2,1,3] => [3,2,1,1,1] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,4,5,6,3,2] => 1
[1,1,2,2,2] => [2,2,2,1,1] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,3,6,5,4,2] => 1
[1,1,2,3,1] => [3,2,1,1,1] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,4,5,6,3,2] => 1
[1,1,2,4] => [4,2,1,1] => [1,0,1,1,0,1,0,0,1,0] => [1,3,4,2,5] => 1
[1,1,3,1,2] => [3,2,1,1,1] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,4,5,6,3,2] => 1
[1,1,3,2,1] => [3,2,1,1,1] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,4,5,6,3,2] => 1
[1,1,3,3] => [3,3,1,1] => [1,0,1,1,0,0,1,1,0,0] => [1,3,2,5,4] => 1
[1,1,4,1,1] => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [1,5,4,3,6,2] => 1
[1,1,4,2] => [4,2,1,1] => [1,0,1,1,0,1,0,0,1,0] => [1,3,4,2,5] => 1
[1,1,5,1] => [5,1,1,1] => [1,1,0,1,1,1,0,0,0,0,1,0] => [2,5,4,3,1,6] => 1
[1,2,1,1,3] => [3,2,1,1,1] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,4,5,6,3,2] => 1
[1,2,1,2,2] => [2,2,2,1,1] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,3,6,5,4,2] => 1
[1,2,1,3,1] => [3,2,1,1,1] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,4,5,6,3,2] => 1
[1,2,1,4] => [4,2,1,1] => [1,0,1,1,0,1,0,0,1,0] => [1,3,4,2,5] => 1
[1,2,2,1,2] => [2,2,2,1,1] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,3,6,5,4,2] => 1
[1,2,2,2,1] => [2,2,2,1,1] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,3,6,5,4,2] => 1
[1,2,2,3] => [3,2,2,1] => [1,0,1,0,1,1,0,1,0,0] => [1,2,4,5,3] => 1
[1,2,3,1,1] => [3,2,1,1,1] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,4,5,6,3,2] => 1
[1,2,3,2] => [3,2,2,1] => [1,0,1,0,1,1,0,1,0,0] => [1,2,4,5,3] => 1
[1,2,4,1] => [4,2,1,1] => [1,0,1,1,0,1,0,0,1,0] => [1,3,4,2,5] => 1
[1,2,5] => [5,2,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [3,4,5,2,1,6] => 1
[1,3,1,1,2] => [3,2,1,1,1] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,4,5,6,3,2] => 1
[1,3,1,2,1] => [3,2,1,1,1] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,4,5,6,3,2] => 1
[1,3,1,3] => [3,3,1,1] => [1,0,1,1,0,0,1,1,0,0] => [1,3,2,5,4] => 1
[1,3,2,1,1] => [3,2,1,1,1] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,4,5,6,3,2] => 1
[1,3,2,2] => [3,2,2,1] => [1,0,1,0,1,1,0,1,0,0] => [1,2,4,5,3] => 1
[1,3,3,1] => [3,3,1,1] => [1,0,1,1,0,0,1,1,0,0] => [1,3,2,5,4] => 1
[1,3,4] => [4,3,1] => [1,1,0,1,0,0,1,0,1,0] => [2,3,1,4,5] => 1
[1,4,1,1,1] => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [1,5,4,3,6,2] => 1
[1,4,1,2] => [4,2,1,1] => [1,0,1,1,0,1,0,0,1,0] => [1,3,4,2,5] => 1
[1,4,2,1] => [4,2,1,1] => [1,0,1,1,0,1,0,0,1,0] => [1,3,4,2,5] => 1
[1,4,3] => [4,3,1] => [1,1,0,1,0,0,1,0,1,0] => [2,3,1,4,5] => 1
[1,5,1,1] => [5,1,1,1] => [1,1,0,1,1,1,0,0,0,0,1,0] => [2,5,4,3,1,6] => 1
[1,5,2] => [5,2,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [3,4,5,2,1,6] => 1
[2,1,1,1,3] => [3,2,1,1,1] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,4,5,6,3,2] => 1
[2,1,1,2,2] => [2,2,2,1,1] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,3,6,5,4,2] => 1
[2,1,1,3,1] => [3,2,1,1,1] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,4,5,6,3,2] => 1
[2,1,1,4] => [4,2,1,1] => [1,0,1,1,0,1,0,0,1,0] => [1,3,4,2,5] => 1
[2,1,2,1,2] => [2,2,2,1,1] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,3,6,5,4,2] => 1
[2,1,2,2,1] => [2,2,2,1,1] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,3,6,5,4,2] => 1
[2,1,2,3] => [3,2,2,1] => [1,0,1,0,1,1,0,1,0,0] => [1,2,4,5,3] => 1
[2,1,3,1,1] => [3,2,1,1,1] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,4,5,6,3,2] => 1
[2,1,3,2] => [3,2,2,1] => [1,0,1,0,1,1,0,1,0,0] => [1,2,4,5,3] => 1
[2,1,4,1] => [4,2,1,1] => [1,0,1,1,0,1,0,0,1,0] => [1,3,4,2,5] => 1
[2,1,5] => [5,2,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [3,4,5,2,1,6] => 1
[2,2,1,1,2] => [2,2,2,1,1] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,3,6,5,4,2] => 1
[2,2,1,2,1] => [2,2,2,1,1] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,3,6,5,4,2] => 1
[2,2,1,3] => [3,2,2,1] => [1,0,1,0,1,1,0,1,0,0] => [1,2,4,5,3] => 1
[2,2,2,1,1] => [2,2,2,1,1] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,3,6,5,4,2] => 1
[2,2,2,2] => [2,2,2,2] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,1,6,5,4,3] => 2
[2,2,3,1] => [3,2,2,1] => [1,0,1,0,1,1,0,1,0,0] => [1,2,4,5,3] => 1
[2,2,4] => [4,2,2] => [1,1,0,0,1,1,0,0,1,0] => [2,1,4,3,5] => 2
[2,3,1,1,1] => [3,2,1,1,1] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,4,5,6,3,2] => 1
[2,3,1,2] => [3,2,2,1] => [1,0,1,0,1,1,0,1,0,0] => [1,2,4,5,3] => 1
[2,3,2,1] => [3,2,2,1] => [1,0,1,0,1,1,0,1,0,0] => [1,2,4,5,3] => 1
[2,3,3] => [3,3,2] => [1,1,0,0,1,0,1,1,0,0] => [2,1,3,5,4] => 2
[2,4,1,1] => [4,2,1,1] => [1,0,1,1,0,1,0,0,1,0] => [1,3,4,2,5] => 1
[2,4,2] => [4,2,2] => [1,1,0,0,1,1,0,0,1,0] => [2,1,4,3,5] => 2
[2,5,1] => [5,2,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [3,4,5,2,1,6] => 1
[3,1,1,1,2] => [3,2,1,1,1] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,4,5,6,3,2] => 1
[3,1,1,2,1] => [3,2,1,1,1] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,4,5,6,3,2] => 1
[3,1,1,3] => [3,3,1,1] => [1,0,1,1,0,0,1,1,0,0] => [1,3,2,5,4] => 1
[3,1,2,1,1] => [3,2,1,1,1] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,4,5,6,3,2] => 1
[3,1,2,2] => [3,2,2,1] => [1,0,1,0,1,1,0,1,0,0] => [1,2,4,5,3] => 1
[3,1,3,1] => [3,3,1,1] => [1,0,1,1,0,0,1,1,0,0] => [1,3,2,5,4] => 1
[3,1,4] => [4,3,1] => [1,1,0,1,0,0,1,0,1,0] => [2,3,1,4,5] => 1
[3,2,1,1,1] => [3,2,1,1,1] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,4,5,6,3,2] => 1
[3,2,1,2] => [3,2,2,1] => [1,0,1,0,1,1,0,1,0,0] => [1,2,4,5,3] => 1
[3,2,2,1] => [3,2,2,1] => [1,0,1,0,1,1,0,1,0,0] => [1,2,4,5,3] => 1
[3,2,3] => [3,3,2] => [1,1,0,0,1,0,1,1,0,0] => [2,1,3,5,4] => 2
[3,3,1,1] => [3,3,1,1] => [1,0,1,1,0,0,1,1,0,0] => [1,3,2,5,4] => 1
[3,3,2] => [3,3,2] => [1,1,0,0,1,0,1,1,0,0] => [2,1,3,5,4] => 2
[3,4,1] => [4,3,1] => [1,1,0,1,0,0,1,0,1,0] => [2,3,1,4,5] => 1
[3,5] => [5,3] => [1,1,1,1,0,0,0,1,0,0,1,0] => [4,3,2,5,1,6] => 3
[4,1,1,1,1] => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [1,5,4,3,6,2] => 1
[4,1,1,2] => [4,2,1,1] => [1,0,1,1,0,1,0,0,1,0] => [1,3,4,2,5] => 1
[4,1,2,1] => [4,2,1,1] => [1,0,1,1,0,1,0,0,1,0] => [1,3,4,2,5] => 1
[4,1,3] => [4,3,1] => [1,1,0,1,0,0,1,0,1,0] => [2,3,1,4,5] => 1
[4,2,1,1] => [4,2,1,1] => [1,0,1,1,0,1,0,0,1,0] => [1,3,4,2,5] => 1
[4,2,2] => [4,2,2] => [1,1,0,0,1,1,0,0,1,0] => [2,1,4,3,5] => 2
[4,3,1] => [4,3,1] => [1,1,0,1,0,0,1,0,1,0] => [2,3,1,4,5] => 1
[4,4] => [4,4] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,3,2,1,6,5] => 4
[5,1,1,1] => [5,1,1,1] => [1,1,0,1,1,1,0,0,0,0,1,0] => [2,5,4,3,1,6] => 1
[5,1,2] => [5,2,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [3,4,5,2,1,6] => 1
[5,2,1] => [5,2,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [3,4,5,2,1,6] => 1
[5,3] => [5,3] => [1,1,1,1,0,0,0,1,0,0,1,0] => [4,3,2,5,1,6] => 3
[1,1,1,1,5] => [5,1,1,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0] => [1,5,4,3,2,6] => 1
[1,1,1,2,4] => [4,2,1,1,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,4,5,3,6,2] => 1
[1,1,1,3,3] => [3,3,1,1,1] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,4,3,6,5,2] => 1
[1,1,1,4,2] => [4,2,1,1,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,4,5,3,6,2] => 1
[1,1,1,5,1] => [5,1,1,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0] => [1,5,4,3,2,6] => 1
[1,1,2,1,4] => [4,2,1,1,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,4,5,3,6,2] => 1
[1,1,2,2,3] => [3,2,2,1,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,3,5,6,4,2] => 1
[1,1,2,3,2] => [3,2,2,1,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,3,5,6,4,2] => 1
[1,1,2,4,1] => [4,2,1,1,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,4,5,3,6,2] => 1
[1,1,2,5] => [5,2,1,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [2,4,5,3,1,6] => 1
[1,1,3,1,3] => [3,3,1,1,1] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,4,3,6,5,2] => 1
[1,1,3,2,2] => [3,2,2,1,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,3,5,6,4,2] => 1
[1,1,3,3,1] => [3,3,1,1,1] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,4,3,6,5,2] => 1
[1,1,3,4] => [4,3,1,1] => [1,0,1,1,0,0,1,0,1,0] => [1,3,2,4,5] => 1
[1,1,4,1,2] => [4,2,1,1,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,4,5,3,6,2] => 1
[1,1,4,2,1] => [4,2,1,1,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,4,5,3,6,2] => 1
[1,1,4,3] => [4,3,1,1] => [1,0,1,1,0,0,1,0,1,0] => [1,3,2,4,5] => 1
[1,1,5,1,1] => [5,1,1,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0] => [1,5,4,3,2,6] => 1
[1,1,5,2] => [5,2,1,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [2,4,5,3,1,6] => 1
[1,2,1,1,4] => [4,2,1,1,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,4,5,3,6,2] => 1
[1,2,1,2,3] => [3,2,2,1,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,3,5,6,4,2] => 1
[1,2,1,3,2] => [3,2,2,1,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,3,5,6,4,2] => 1
[1,2,1,4,1] => [4,2,1,1,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,4,5,3,6,2] => 1
[1,2,1,5] => [5,2,1,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [2,4,5,3,1,6] => 1
[1,2,2,1,3] => [3,2,2,1,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,3,5,6,4,2] => 1
[1,2,2,2,2] => [2,2,2,2,1] => [1,0,1,0,1,1,1,1,0,0,0,0] => [1,2,6,5,4,3] => 1
[1,2,2,3,1] => [3,2,2,1,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,3,5,6,4,2] => 1
[1,2,2,4] => [4,2,2,1] => [1,0,1,0,1,1,0,0,1,0] => [1,2,4,3,5] => 1
[1,2,3,1,2] => [3,2,2,1,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,3,5,6,4,2] => 1
[1,2,3,2,1] => [3,2,2,1,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,3,5,6,4,2] => 1
[1,2,3,3] => [3,3,2,1] => [1,0,1,0,1,0,1,1,0,0] => [1,2,3,5,4] => 1
[1,2,4,1,1] => [4,2,1,1,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,4,5,3,6,2] => 1
[1,2,4,2] => [4,2,2,1] => [1,0,1,0,1,1,0,0,1,0] => [1,2,4,3,5] => 1
[1,2,5,1] => [5,2,1,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [2,4,5,3,1,6] => 1
[1,3,1,1,3] => [3,3,1,1,1] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,4,3,6,5,2] => 1
[1,3,1,2,2] => [3,2,2,1,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,3,5,6,4,2] => 1
[1,3,1,3,1] => [3,3,1,1,1] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,4,3,6,5,2] => 1
[1,3,1,4] => [4,3,1,1] => [1,0,1,1,0,0,1,0,1,0] => [1,3,2,4,5] => 1
[1,3,2,1,2] => [3,2,2,1,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,3,5,6,4,2] => 1
[1,3,2,2,1] => [3,2,2,1,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,3,5,6,4,2] => 1
[1,3,2,3] => [3,3,2,1] => [1,0,1,0,1,0,1,1,0,0] => [1,2,3,5,4] => 1
[1,3,3,1,1] => [3,3,1,1,1] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,4,3,6,5,2] => 1
[1,3,3,2] => [3,3,2,1] => [1,0,1,0,1,0,1,1,0,0] => [1,2,3,5,4] => 1
[1,3,4,1] => [4,3,1,1] => [1,0,1,1,0,0,1,0,1,0] => [1,3,2,4,5] => 1
[1,3,5] => [5,3,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [3,4,2,5,1,6] => 1
[1,4,1,1,2] => [4,2,1,1,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,4,5,3,6,2] => 1
[1,4,1,2,1] => [4,2,1,1,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,4,5,3,6,2] => 1
[1,4,1,3] => [4,3,1,1] => [1,0,1,1,0,0,1,0,1,0] => [1,3,2,4,5] => 1
[1,4,2,1,1] => [4,2,1,1,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,4,5,3,6,2] => 1
[1,4,2,2] => [4,2,2,1] => [1,0,1,0,1,1,0,0,1,0] => [1,2,4,3,5] => 1
[1,4,3,1] => [4,3,1,1] => [1,0,1,1,0,0,1,0,1,0] => [1,3,2,4,5] => 1
[1,4,4] => [4,4,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => [3,4,2,1,6,5] => 1
[1,5,1,1,1] => [5,1,1,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0] => [1,5,4,3,2,6] => 1
[1,5,1,2] => [5,2,1,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [2,4,5,3,1,6] => 1
[1,5,2,1] => [5,2,1,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [2,4,5,3,1,6] => 1
[1,5,3] => [5,3,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [3,4,2,5,1,6] => 1
[2,1,1,1,4] => [4,2,1,1,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,4,5,3,6,2] => 1
[2,1,1,2,3] => [3,2,2,1,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,3,5,6,4,2] => 1
[2,1,1,3,2] => [3,2,2,1,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,3,5,6,4,2] => 1
[2,1,1,4,1] => [4,2,1,1,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,4,5,3,6,2] => 1
[2,1,1,5] => [5,2,1,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [2,4,5,3,1,6] => 1
[2,1,2,1,3] => [3,2,2,1,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,3,5,6,4,2] => 1
[2,1,2,2,2] => [2,2,2,2,1] => [1,0,1,0,1,1,1,1,0,0,0,0] => [1,2,6,5,4,3] => 1
[2,1,2,3,1] => [3,2,2,1,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,3,5,6,4,2] => 1
[2,1,2,4] => [4,2,2,1] => [1,0,1,0,1,1,0,0,1,0] => [1,2,4,3,5] => 1
[2,1,3,1,2] => [3,2,2,1,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,3,5,6,4,2] => 1
[2,1,3,2,1] => [3,2,2,1,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,3,5,6,4,2] => 1
[2,1,3,3] => [3,3,2,1] => [1,0,1,0,1,0,1,1,0,0] => [1,2,3,5,4] => 1
[2,1,4,1,1] => [4,2,1,1,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,4,5,3,6,2] => 1
[2,1,4,2] => [4,2,2,1] => [1,0,1,0,1,1,0,0,1,0] => [1,2,4,3,5] => 1
[2,1,5,1] => [5,2,1,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [2,4,5,3,1,6] => 1
[2,2,1,1,3] => [3,2,2,1,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,3,5,6,4,2] => 1
[2,2,1,2,2] => [2,2,2,2,1] => [1,0,1,0,1,1,1,1,0,0,0,0] => [1,2,6,5,4,3] => 1
[2,2,1,3,1] => [3,2,2,1,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,3,5,6,4,2] => 1
[2,2,1,4] => [4,2,2,1] => [1,0,1,0,1,1,0,0,1,0] => [1,2,4,3,5] => 1
[2,2,2,1,2] => [2,2,2,2,1] => [1,0,1,0,1,1,1,1,0,0,0,0] => [1,2,6,5,4,3] => 1
[2,2,2,2,1] => [2,2,2,2,1] => [1,0,1,0,1,1,1,1,0,0,0,0] => [1,2,6,5,4,3] => 1
[2,2,2,3] => [3,2,2,2] => [1,1,0,0,1,1,1,0,1,0,0,0] => [2,1,5,6,4,3] => 2
[2,2,3,1,1] => [3,2,2,1,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,3,5,6,4,2] => 1
[2,2,3,2] => [3,2,2,2] => [1,1,0,0,1,1,1,0,1,0,0,0] => [2,1,5,6,4,3] => 2
[2,2,4,1] => [4,2,2,1] => [1,0,1,0,1,1,0,0,1,0] => [1,2,4,3,5] => 1
[2,2,5] => [5,2,2] => [1,1,1,0,0,1,1,0,0,0,1,0] => [3,2,5,4,1,6] => 2
[2,3,1,1,2] => [3,2,2,1,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,3,5,6,4,2] => 1
[2,3,1,2,1] => [3,2,2,1,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,3,5,6,4,2] => 1
[2,3,1,3] => [3,3,2,1] => [1,0,1,0,1,0,1,1,0,0] => [1,2,3,5,4] => 1
[2,3,2,1,1] => [3,2,2,1,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,3,5,6,4,2] => 1
[2,3,2,2] => [3,2,2,2] => [1,1,0,0,1,1,1,0,1,0,0,0] => [2,1,5,6,4,3] => 2
[2,3,3,1] => [3,3,2,1] => [1,0,1,0,1,0,1,1,0,0] => [1,2,3,5,4] => 1
[2,3,4] => [4,3,2] => [1,1,0,0,1,0,1,0,1,0] => [2,1,3,4,5] => 2
[2,4,1,1,1] => [4,2,1,1,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,4,5,3,6,2] => 1
[2,4,1,2] => [4,2,2,1] => [1,0,1,0,1,1,0,0,1,0] => [1,2,4,3,5] => 1
[2,4,2,1] => [4,2,2,1] => [1,0,1,0,1,1,0,0,1,0] => [1,2,4,3,5] => 1
[2,4,3] => [4,3,2] => [1,1,0,0,1,0,1,0,1,0] => [2,1,3,4,5] => 2
[2,5,1,1] => [5,2,1,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [2,4,5,3,1,6] => 1
[2,5,2] => [5,2,2] => [1,1,1,0,0,1,1,0,0,0,1,0] => [3,2,5,4,1,6] => 2
[3,1,1,1,3] => [3,3,1,1,1] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,4,3,6,5,2] => 1
[3,1,1,2,2] => [3,2,2,1,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,3,5,6,4,2] => 1
[3,1,1,3,1] => [3,3,1,1,1] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,4,3,6,5,2] => 1
[3,1,1,4] => [4,3,1,1] => [1,0,1,1,0,0,1,0,1,0] => [1,3,2,4,5] => 1
[3,1,2,1,2] => [3,2,2,1,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,3,5,6,4,2] => 1
[3,1,2,2,1] => [3,2,2,1,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,3,5,6,4,2] => 1
[3,1,2,3] => [3,3,2,1] => [1,0,1,0,1,0,1,1,0,0] => [1,2,3,5,4] => 1
[3,1,3,1,1] => [3,3,1,1,1] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,4,3,6,5,2] => 1
[3,1,3,2] => [3,3,2,1] => [1,0,1,0,1,0,1,1,0,0] => [1,2,3,5,4] => 1
[3,1,4,1] => [4,3,1,1] => [1,0,1,1,0,0,1,0,1,0] => [1,3,2,4,5] => 1
[3,1,5] => [5,3,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [3,4,2,5,1,6] => 1
[3,2,1,1,2] => [3,2,2,1,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,3,5,6,4,2] => 1
[3,2,1,2,1] => [3,2,2,1,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,3,5,6,4,2] => 1
[3,2,1,3] => [3,3,2,1] => [1,0,1,0,1,0,1,1,0,0] => [1,2,3,5,4] => 1
[3,2,2,1,1] => [3,2,2,1,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,3,5,6,4,2] => 1
[3,2,2,2] => [3,2,2,2] => [1,1,0,0,1,1,1,0,1,0,0,0] => [2,1,5,6,4,3] => 2
[3,2,3,1] => [3,3,2,1] => [1,0,1,0,1,0,1,1,0,0] => [1,2,3,5,4] => 1
[3,2,4] => [4,3,2] => [1,1,0,0,1,0,1,0,1,0] => [2,1,3,4,5] => 2
[3,3,1,1,1] => [3,3,1,1,1] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,4,3,6,5,2] => 1
[3,3,1,2] => [3,3,2,1] => [1,0,1,0,1,0,1,1,0,0] => [1,2,3,5,4] => 1
[3,3,2,1] => [3,3,2,1] => [1,0,1,0,1,0,1,1,0,0] => [1,2,3,5,4] => 1
[3,3,3] => [3,3,3] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,2,1,6,5,4] => 3
[3,4,1,1] => [4,3,1,1] => [1,0,1,1,0,0,1,0,1,0] => [1,3,2,4,5] => 1
[3,4,2] => [4,3,2] => [1,1,0,0,1,0,1,0,1,0] => [2,1,3,4,5] => 2
[3,5,1] => [5,3,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [3,4,2,5,1,6] => 1
[4,1,1,1,2] => [4,2,1,1,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,4,5,3,6,2] => 1
[4,1,1,2,1] => [4,2,1,1,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,4,5,3,6,2] => 1
[4,1,1,3] => [4,3,1,1] => [1,0,1,1,0,0,1,0,1,0] => [1,3,2,4,5] => 1
[4,1,2,1,1] => [4,2,1,1,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,4,5,3,6,2] => 1
[4,1,2,2] => [4,2,2,1] => [1,0,1,0,1,1,0,0,1,0] => [1,2,4,3,5] => 1
[4,1,3,1] => [4,3,1,1] => [1,0,1,1,0,0,1,0,1,0] => [1,3,2,4,5] => 1
[4,1,4] => [4,4,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => [3,4,2,1,6,5] => 1
[4,2,1,1,1] => [4,2,1,1,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,4,5,3,6,2] => 1
[4,2,1,2] => [4,2,2,1] => [1,0,1,0,1,1,0,0,1,0] => [1,2,4,3,5] => 1
[4,2,2,1] => [4,2,2,1] => [1,0,1,0,1,1,0,0,1,0] => [1,2,4,3,5] => 1
[4,2,3] => [4,3,2] => [1,1,0,0,1,0,1,0,1,0] => [2,1,3,4,5] => 2
[4,3,1,1] => [4,3,1,1] => [1,0,1,1,0,0,1,0,1,0] => [1,3,2,4,5] => 1
[4,3,2] => [4,3,2] => [1,1,0,0,1,0,1,0,1,0] => [2,1,3,4,5] => 2
[4,4,1] => [4,4,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => [3,4,2,1,6,5] => 1
[4,5] => [5,4] => [1,1,1,1,0,0,0,0,1,0,1,0] => [4,3,2,1,5,6] => 4
[5,1,1,1,1] => [5,1,1,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0] => [1,5,4,3,2,6] => 1
[5,1,1,2] => [5,2,1,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [2,4,5,3,1,6] => 1
[5,1,2,1] => [5,2,1,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [2,4,5,3,1,6] => 1
[5,1,3] => [5,3,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [3,4,2,5,1,6] => 1
[5,2,1,1] => [5,2,1,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [2,4,5,3,1,6] => 1
[5,2,2] => [5,2,2] => [1,1,1,0,0,1,1,0,0,0,1,0] => [3,2,5,4,1,6] => 2
[5,3,1] => [5,3,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [3,4,2,5,1,6] => 1
[5,4] => [5,4] => [1,1,1,1,0,0,0,0,1,0,1,0] => [4,3,2,1,5,6] => 4
[1,1,1,2,5] => [5,2,1,1,1] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,4,5,3,2,6] => 1
[1,1,1,3,4] => [4,3,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,4,3,5,6,2] => 1
[1,1,1,4,3] => [4,3,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,4,3,5,6,2] => 1
[1,1,1,5,2] => [5,2,1,1,1] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,4,5,3,2,6] => 1
[1,1,2,1,5] => [5,2,1,1,1] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,4,5,3,2,6] => 1
[1,1,2,2,2,2] => [2,2,2,2,1,1] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [1,3,7,6,5,4,2] => 1
[1,1,2,2,4] => [4,2,2,1,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,3,5,4,6,2] => 1
[1,1,2,3,3] => [3,3,2,1,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,3,4,6,5,2] => 1
[1,1,2,4,2] => [4,2,2,1,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,3,5,4,6,2] => 1
[1,1,2,5,1] => [5,2,1,1,1] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,4,5,3,2,6] => 1
[1,1,3,1,4] => [4,3,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,4,3,5,6,2] => 1
[1,1,3,2,3] => [3,3,2,1,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,3,4,6,5,2] => 1
[1,1,3,3,2] => [3,3,2,1,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,3,4,6,5,2] => 1
[1,1,3,4,1] => [4,3,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,4,3,5,6,2] => 1
[1,1,3,5] => [5,3,1,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [2,4,3,5,1,6] => 1
[1,1,4,1,3] => [4,3,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,4,3,5,6,2] => 1
[1,1,4,2,2] => [4,2,2,1,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,3,5,4,6,2] => 1
[1,1,4,3,1] => [4,3,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,4,3,5,6,2] => 1
[1,1,4,4] => [4,4,1,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => [2,4,3,1,6,5] => 1
[1,1,5,1,2] => [5,2,1,1,1] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,4,5,3,2,6] => 1
[1,1,5,2,1] => [5,2,1,1,1] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,4,5,3,2,6] => 1
[1,1,5,3] => [5,3,1,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [2,4,3,5,1,6] => 1
[1,2,1,1,5] => [5,2,1,1,1] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,4,5,3,2,6] => 1
[1,2,1,2,2,2] => [2,2,2,2,1,1] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [1,3,7,6,5,4,2] => 1
[1,2,1,2,4] => [4,2,2,1,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,3,5,4,6,2] => 1
[1,2,1,3,3] => [3,3,2,1,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,3,4,6,5,2] => 1
[1,2,1,4,2] => [4,2,2,1,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,3,5,4,6,2] => 1
[1,2,1,5,1] => [5,2,1,1,1] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,4,5,3,2,6] => 1
[1,2,2,1,2,2] => [2,2,2,2,1,1] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [1,3,7,6,5,4,2] => 1
[1,2,2,1,4] => [4,2,2,1,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,3,5,4,6,2] => 1
[1,2,2,2,1,2] => [2,2,2,2,1,1] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [1,3,7,6,5,4,2] => 1
[1,2,2,2,2,1] => [2,2,2,2,1,1] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [1,3,7,6,5,4,2] => 1
[1,2,2,2,3] => [3,2,2,2,1] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,2,5,6,4,3] => 1
[1,2,2,3,2] => [3,2,2,2,1] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,2,5,6,4,3] => 1
[1,2,2,4,1] => [4,2,2,1,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,3,5,4,6,2] => 1
[1,2,2,5] => [5,2,2,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [2,3,5,4,1,6] => 1
[1,2,3,1,3] => [3,3,2,1,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,3,4,6,5,2] => 1
[1,2,3,2,2] => [3,2,2,2,1] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,2,5,6,4,3] => 1
[1,2,3,3,1] => [3,3,2,1,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,3,4,6,5,2] => 1
[1,2,3,4] => [4,3,2,1] => [1,0,1,0,1,0,1,0,1,0] => [1,2,3,4,5] => 1
[1,2,4,1,2] => [4,2,2,1,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,3,5,4,6,2] => 1
[1,2,4,2,1] => [4,2,2,1,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,3,5,4,6,2] => 1
[1,2,4,3] => [4,3,2,1] => [1,0,1,0,1,0,1,0,1,0] => [1,2,3,4,5] => 1
[1,2,5,1,1] => [5,2,1,1,1] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,4,5,3,2,6] => 1
[1,2,5,2] => [5,2,2,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [2,3,5,4,1,6] => 1
[1,3,1,1,4] => [4,3,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,4,3,5,6,2] => 1
[1,3,1,2,3] => [3,3,2,1,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,3,4,6,5,2] => 1
[1,3,1,3,2] => [3,3,2,1,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,3,4,6,5,2] => 1
[1,3,1,4,1] => [4,3,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,4,3,5,6,2] => 1
[1,3,1,5] => [5,3,1,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [2,4,3,5,1,6] => 1
[1,3,2,1,3] => [3,3,2,1,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,3,4,6,5,2] => 1
[1,3,2,2,2] => [3,2,2,2,1] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,2,5,6,4,3] => 1
[1,3,2,3,1] => [3,3,2,1,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,3,4,6,5,2] => 1
[1,3,2,4] => [4,3,2,1] => [1,0,1,0,1,0,1,0,1,0] => [1,2,3,4,5] => 1
[1,3,3,1,2] => [3,3,2,1,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,3,4,6,5,2] => 1
[1,3,3,2,1] => [3,3,2,1,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,3,4,6,5,2] => 1
[1,3,3,3] => [3,3,3,1] => [1,1,0,1,0,0,1,1,1,0,0,0] => [2,3,1,6,5,4] => 1
[1,3,4,1,1] => [4,3,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,4,3,5,6,2] => 1
[1,3,4,2] => [4,3,2,1] => [1,0,1,0,1,0,1,0,1,0] => [1,2,3,4,5] => 1
[1,3,5,1] => [5,3,1,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [2,4,3,5,1,6] => 1
[1,4,1,1,3] => [4,3,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,4,3,5,6,2] => 1
[1,4,1,2,2] => [4,2,2,1,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,3,5,4,6,2] => 1
[1,4,1,3,1] => [4,3,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,4,3,5,6,2] => 1
[1,4,1,4] => [4,4,1,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => [2,4,3,1,6,5] => 1
[1,4,2,1,2] => [4,2,2,1,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,3,5,4,6,2] => 1
[1,4,2,2,1] => [4,2,2,1,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,3,5,4,6,2] => 1
[1,4,2,3] => [4,3,2,1] => [1,0,1,0,1,0,1,0,1,0] => [1,2,3,4,5] => 1
[1,4,3,1,1] => [4,3,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,4,3,5,6,2] => 1
[1,4,3,2] => [4,3,2,1] => [1,0,1,0,1,0,1,0,1,0] => [1,2,3,4,5] => 1
[1,4,4,1] => [4,4,1,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => [2,4,3,1,6,5] => 1
[1,4,5] => [5,4,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [3,4,2,1,5,6] => 1
[1,5,1,1,2] => [5,2,1,1,1] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,4,5,3,2,6] => 1
[1,5,1,2,1] => [5,2,1,1,1] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,4,5,3,2,6] => 1
[1,5,1,3] => [5,3,1,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [2,4,3,5,1,6] => 1
[1,5,2,1,1] => [5,2,1,1,1] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,4,5,3,2,6] => 1
[1,5,2,2] => [5,2,2,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [2,3,5,4,1,6] => 1
[1,5,3,1] => [5,3,1,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [2,4,3,5,1,6] => 1
[1,5,4] => [5,4,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [3,4,2,1,5,6] => 1
[2,1,1,1,5] => [5,2,1,1,1] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,4,5,3,2,6] => 1
[2,1,1,2,2,2] => [2,2,2,2,1,1] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [1,3,7,6,5,4,2] => 1
[2,1,1,2,4] => [4,2,2,1,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,3,5,4,6,2] => 1
[2,1,1,3,3] => [3,3,2,1,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,3,4,6,5,2] => 1
[2,1,1,4,2] => [4,2,2,1,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,3,5,4,6,2] => 1
[2,1,1,5,1] => [5,2,1,1,1] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,4,5,3,2,6] => 1
[2,1,2,1,2,2] => [2,2,2,2,1,1] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [1,3,7,6,5,4,2] => 1
[2,1,2,1,4] => [4,2,2,1,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,3,5,4,6,2] => 1
[2,1,2,2,1,2] => [2,2,2,2,1,1] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [1,3,7,6,5,4,2] => 1
[2,1,2,2,2,1] => [2,2,2,2,1,1] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [1,3,7,6,5,4,2] => 1
[2,1,2,2,3] => [3,2,2,2,1] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,2,5,6,4,3] => 1
[2,1,2,3,2] => [3,2,2,2,1] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,2,5,6,4,3] => 1
[2,1,2,4,1] => [4,2,2,1,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,3,5,4,6,2] => 1
[2,1,2,5] => [5,2,2,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [2,3,5,4,1,6] => 1
[2,1,3,1,3] => [3,3,2,1,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,3,4,6,5,2] => 1
[2,1,3,2,2] => [3,2,2,2,1] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,2,5,6,4,3] => 1
[2,1,3,3,1] => [3,3,2,1,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,3,4,6,5,2] => 1
[2,1,3,4] => [4,3,2,1] => [1,0,1,0,1,0,1,0,1,0] => [1,2,3,4,5] => 1
[2,1,4,1,2] => [4,2,2,1,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,3,5,4,6,2] => 1
[2,1,4,2,1] => [4,2,2,1,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,3,5,4,6,2] => 1
[2,1,4,3] => [4,3,2,1] => [1,0,1,0,1,0,1,0,1,0] => [1,2,3,4,5] => 1
[2,1,5,1,1] => [5,2,1,1,1] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,4,5,3,2,6] => 1
[2,1,5,2] => [5,2,2,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [2,3,5,4,1,6] => 1
[2,2,1,1,2,2] => [2,2,2,2,1,1] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [1,3,7,6,5,4,2] => 1
[2,2,1,1,4] => [4,2,2,1,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,3,5,4,6,2] => 1
[2,2,1,2,1,2] => [2,2,2,2,1,1] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [1,3,7,6,5,4,2] => 1
[2,2,1,2,2,1] => [2,2,2,2,1,1] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [1,3,7,6,5,4,2] => 1
[2,2,1,2,3] => [3,2,2,2,1] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,2,5,6,4,3] => 1
[2,2,1,3,2] => [3,2,2,2,1] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,2,5,6,4,3] => 1
[2,2,1,4,1] => [4,2,2,1,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,3,5,4,6,2] => 1
[2,2,1,5] => [5,2,2,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [2,3,5,4,1,6] => 1
[2,2,2,1,1,2] => [2,2,2,2,1,1] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [1,3,7,6,5,4,2] => 1
[2,2,2,1,2,1] => [2,2,2,2,1,1] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [1,3,7,6,5,4,2] => 1
[2,2,2,1,3] => [3,2,2,2,1] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,2,5,6,4,3] => 1
[2,2,2,2,1,1] => [2,2,2,2,1,1] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [1,3,7,6,5,4,2] => 1
[2,2,2,3,1] => [3,2,2,2,1] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,2,5,6,4,3] => 1
[2,2,2,4] => [4,2,2,2] => [1,1,0,0,1,1,1,0,0,1,0,0] => [2,1,5,4,6,3] => 2
[2,2,3,1,2] => [3,2,2,2,1] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,2,5,6,4,3] => 1
[2,2,3,2,1] => [3,2,2,2,1] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,2,5,6,4,3] => 1
[2,2,3,3] => [3,3,2,2] => [1,1,0,0,1,1,0,1,1,0,0,0] => [2,1,4,6,5,3] => 2
[2,2,4,1,1] => [4,2,2,1,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,3,5,4,6,2] => 1
[2,2,4,2] => [4,2,2,2] => [1,1,0,0,1,1,1,0,0,1,0,0] => [2,1,5,4,6,3] => 2
[2,2,5,1] => [5,2,2,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [2,3,5,4,1,6] => 1
[2,3,1,1,3] => [3,3,2,1,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,3,4,6,5,2] => 1
[2,3,1,2,2] => [3,2,2,2,1] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,2,5,6,4,3] => 1
[2,3,1,3,1] => [3,3,2,1,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,3,4,6,5,2] => 1
[2,3,1,4] => [4,3,2,1] => [1,0,1,0,1,0,1,0,1,0] => [1,2,3,4,5] => 1
[2,3,2,1,2] => [3,2,2,2,1] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,2,5,6,4,3] => 1
[2,3,2,2,1] => [3,2,2,2,1] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,2,5,6,4,3] => 1
[2,3,2,3] => [3,3,2,2] => [1,1,0,0,1,1,0,1,1,0,0,0] => [2,1,4,6,5,3] => 2
[2,3,3,1,1] => [3,3,2,1,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,3,4,6,5,2] => 1
[2,3,3,2] => [3,3,2,2] => [1,1,0,0,1,1,0,1,1,0,0,0] => [2,1,4,6,5,3] => 2
[2,3,4,1] => [4,3,2,1] => [1,0,1,0,1,0,1,0,1,0] => [1,2,3,4,5] => 1
[2,3,5] => [5,3,2] => [1,1,1,0,0,1,0,1,0,0,1,0] => [3,2,4,5,1,6] => 2
[2,4,1,1,2] => [4,2,2,1,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,3,5,4,6,2] => 1
[2,4,1,2,1] => [4,2,2,1,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,3,5,4,6,2] => 1
[2,4,1,3] => [4,3,2,1] => [1,0,1,0,1,0,1,0,1,0] => [1,2,3,4,5] => 1
[2,4,2,1,1] => [4,2,2,1,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,3,5,4,6,2] => 1
[2,4,2,2] => [4,2,2,2] => [1,1,0,0,1,1,1,0,0,1,0,0] => [2,1,5,4,6,3] => 2
[2,4,3,1] => [4,3,2,1] => [1,0,1,0,1,0,1,0,1,0] => [1,2,3,4,5] => 1
[2,4,4] => [4,4,2] => [1,1,1,0,0,1,0,0,1,1,0,0] => [3,2,4,1,6,5] => 2
[2,5,1,1,1] => [5,2,1,1,1] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,4,5,3,2,6] => 1
[2,5,1,2] => [5,2,2,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [2,3,5,4,1,6] => 1
[2,5,2,1] => [5,2,2,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [2,3,5,4,1,6] => 1
[2,5,3] => [5,3,2] => [1,1,1,0,0,1,0,1,0,0,1,0] => [3,2,4,5,1,6] => 2
[3,1,1,1,4] => [4,3,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,4,3,5,6,2] => 1
[3,1,1,2,3] => [3,3,2,1,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,3,4,6,5,2] => 1
[3,1,1,3,2] => [3,3,2,1,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,3,4,6,5,2] => 1
[3,1,1,4,1] => [4,3,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,4,3,5,6,2] => 1
[3,1,1,5] => [5,3,1,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [2,4,3,5,1,6] => 1
[3,1,2,1,3] => [3,3,2,1,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,3,4,6,5,2] => 1
[3,1,2,2,2] => [3,2,2,2,1] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,2,5,6,4,3] => 1
[3,1,2,3,1] => [3,3,2,1,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,3,4,6,5,2] => 1
[3,1,2,4] => [4,3,2,1] => [1,0,1,0,1,0,1,0,1,0] => [1,2,3,4,5] => 1
[3,1,3,1,2] => [3,3,2,1,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,3,4,6,5,2] => 1
[3,1,3,2,1] => [3,3,2,1,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,3,4,6,5,2] => 1
[3,1,3,3] => [3,3,3,1] => [1,1,0,1,0,0,1,1,1,0,0,0] => [2,3,1,6,5,4] => 1
[3,1,4,1,1] => [4,3,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,4,3,5,6,2] => 1
[3,1,4,2] => [4,3,2,1] => [1,0,1,0,1,0,1,0,1,0] => [1,2,3,4,5] => 1
[3,1,5,1] => [5,3,1,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [2,4,3,5,1,6] => 1
[3,2,1,1,3] => [3,3,2,1,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,3,4,6,5,2] => 1
[3,2,1,2,2] => [3,2,2,2,1] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,2,5,6,4,3] => 1
[3,2,1,3,1] => [3,3,2,1,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,3,4,6,5,2] => 1
[3,2,1,4] => [4,3,2,1] => [1,0,1,0,1,0,1,0,1,0] => [1,2,3,4,5] => 1
[3,2,2,1,2] => [3,2,2,2,1] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,2,5,6,4,3] => 1
[3,2,2,2,1] => [3,2,2,2,1] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,2,5,6,4,3] => 1
[3,2,2,3] => [3,3,2,2] => [1,1,0,0,1,1,0,1,1,0,0,0] => [2,1,4,6,5,3] => 2
[3,2,3,1,1] => [3,3,2,1,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,3,4,6,5,2] => 1
[3,2,3,2] => [3,3,2,2] => [1,1,0,0,1,1,0,1,1,0,0,0] => [2,1,4,6,5,3] => 2
[3,2,4,1] => [4,3,2,1] => [1,0,1,0,1,0,1,0,1,0] => [1,2,3,4,5] => 1
[3,2,5] => [5,3,2] => [1,1,1,0,0,1,0,1,0,0,1,0] => [3,2,4,5,1,6] => 2
[3,3,1,1,2] => [3,3,2,1,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,3,4,6,5,2] => 1
[3,3,1,2,1] => [3,3,2,1,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,3,4,6,5,2] => 1
[3,3,1,3] => [3,3,3,1] => [1,1,0,1,0,0,1,1,1,0,0,0] => [2,3,1,6,5,4] => 1
[3,3,2,1,1] => [3,3,2,1,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,3,4,6,5,2] => 1
[3,3,2,2] => [3,3,2,2] => [1,1,0,0,1,1,0,1,1,0,0,0] => [2,1,4,6,5,3] => 2
[3,3,3,1] => [3,3,3,1] => [1,1,0,1,0,0,1,1,1,0,0,0] => [2,3,1,6,5,4] => 1
[3,3,4] => [4,3,3] => [1,1,1,0,0,0,1,1,0,1,0,0] => [3,2,1,5,6,4] => 3
[3,4,1,1,1] => [4,3,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,4,3,5,6,2] => 1
[3,4,1,2] => [4,3,2,1] => [1,0,1,0,1,0,1,0,1,0] => [1,2,3,4,5] => 1
[3,4,2,1] => [4,3,2,1] => [1,0,1,0,1,0,1,0,1,0] => [1,2,3,4,5] => 1
[3,4,3] => [4,3,3] => [1,1,1,0,0,0,1,1,0,1,0,0] => [3,2,1,5,6,4] => 3
[3,5,1,1] => [5,3,1,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [2,4,3,5,1,6] => 1
[3,5,2] => [5,3,2] => [1,1,1,0,0,1,0,1,0,0,1,0] => [3,2,4,5,1,6] => 2
[4,1,1,1,3] => [4,3,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,4,3,5,6,2] => 1
[4,1,1,2,2] => [4,2,2,1,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,3,5,4,6,2] => 1
[4,1,1,3,1] => [4,3,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,4,3,5,6,2] => 1
[4,1,1,4] => [4,4,1,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => [2,4,3,1,6,5] => 1
[4,1,2,1,2] => [4,2,2,1,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,3,5,4,6,2] => 1
[4,1,2,2,1] => [4,2,2,1,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,3,5,4,6,2] => 1
[4,1,2,3] => [4,3,2,1] => [1,0,1,0,1,0,1,0,1,0] => [1,2,3,4,5] => 1
[4,1,3,1,1] => [4,3,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,4,3,5,6,2] => 1
[4,1,3,2] => [4,3,2,1] => [1,0,1,0,1,0,1,0,1,0] => [1,2,3,4,5] => 1
[4,1,4,1] => [4,4,1,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => [2,4,3,1,6,5] => 1
[4,1,5] => [5,4,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [3,4,2,1,5,6] => 1
[4,2,1,1,2] => [4,2,2,1,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,3,5,4,6,2] => 1
[4,2,1,2,1] => [4,2,2,1,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,3,5,4,6,2] => 1
[4,2,1,3] => [4,3,2,1] => [1,0,1,0,1,0,1,0,1,0] => [1,2,3,4,5] => 1
[4,2,2,1,1] => [4,2,2,1,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,3,5,4,6,2] => 1
[4,2,2,2] => [4,2,2,2] => [1,1,0,0,1,1,1,0,0,1,0,0] => [2,1,5,4,6,3] => 2
[4,2,3,1] => [4,3,2,1] => [1,0,1,0,1,0,1,0,1,0] => [1,2,3,4,5] => 1
[4,2,4] => [4,4,2] => [1,1,1,0,0,1,0,0,1,1,0,0] => [3,2,4,1,6,5] => 2
[4,3,1,1,1] => [4,3,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,4,3,5,6,2] => 1
[4,3,1,2] => [4,3,2,1] => [1,0,1,0,1,0,1,0,1,0] => [1,2,3,4,5] => 1
[4,3,2,1] => [4,3,2,1] => [1,0,1,0,1,0,1,0,1,0] => [1,2,3,4,5] => 1
[4,3,3] => [4,3,3] => [1,1,1,0,0,0,1,1,0,1,0,0] => [3,2,1,5,6,4] => 3
[4,4,1,1] => [4,4,1,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => [2,4,3,1,6,5] => 1
[4,4,2] => [4,4,2] => [1,1,1,0,0,1,0,0,1,1,0,0] => [3,2,4,1,6,5] => 2
[4,5,1] => [5,4,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [3,4,2,1,5,6] => 1
[5,1,1,1,2] => [5,2,1,1,1] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,4,5,3,2,6] => 1
[5,1,1,2,1] => [5,2,1,1,1] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,4,5,3,2,6] => 1
[5,1,1,3] => [5,3,1,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [2,4,3,5,1,6] => 1
[5,1,2,1,1] => [5,2,1,1,1] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,4,5,3,2,6] => 1
[5,1,2,2] => [5,2,2,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [2,3,5,4,1,6] => 1
[5,1,3,1] => [5,3,1,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [2,4,3,5,1,6] => 1
[5,1,4] => [5,4,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [3,4,2,1,5,6] => 1
[5,2,1,1,1] => [5,2,1,1,1] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,4,5,3,2,6] => 1
[5,2,1,2] => [5,2,2,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [2,3,5,4,1,6] => 1
[5,2,2,1] => [5,2,2,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [2,3,5,4,1,6] => 1
[5,2,3] => [5,3,2] => [1,1,1,0,0,1,0,1,0,0,1,0] => [3,2,4,5,1,6] => 2
[5,3,1,1] => [5,3,1,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [2,4,3,5,1,6] => 1
[5,3,2] => [5,3,2] => [1,1,1,0,0,1,0,1,0,0,1,0] => [3,2,4,5,1,6] => 2
[5,4,1] => [5,4,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [3,4,2,1,5,6] => 1
[1,5,4,1] => [5,4,1,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [2,4,3,1,5,6] => 1
[1,4,5,1] => [5,4,1,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [2,4,3,1,5,6] => 1
[1,1,2,2,3,3] => [3,3,2,2,1,1] => [1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,3,5,7,6,4,2] => 1
[1,1,2,1,3,4] => [4,3,2,1,1,1] => [1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,4,5,6,7,3,2] => 1
[1,1,3,3,2,2] => [3,3,2,2,1,1] => [1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,3,5,7,6,4,2] => 1
[1,1,3,2,2,3] => [3,3,2,2,1,1] => [1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,3,5,7,6,4,2] => 1
[1,1,3,1,2,4] => [4,3,2,1,1,1] => [1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,4,5,6,7,3,2] => 1
[1,1,4,3,1,2] => [4,3,2,1,1,1] => [1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,4,5,6,7,3,2] => 1
[1,1,4,2,1,3] => [4,3,2,1,1,1] => [1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,4,5,6,7,3,2] => 1
[2,2,1,1,3,3] => [3,3,2,2,1,1] => [1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,3,5,7,6,4,2] => 1
[2,2,2,1,2,3] => [3,2,2,2,2,1] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [1,2,6,7,5,4,3] => 1
[2,2,3,3,1,1] => [3,3,2,2,1,1] => [1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,3,5,7,6,4,2] => 1
[2,2,3,2,1,2] => [3,2,2,2,2,1] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [1,2,6,7,5,4,3] => 1
[2,2,3,1,1,3] => [3,3,2,2,1,1] => [1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,3,5,7,6,4,2] => 1
[2,2,4,4] => [4,4,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5] => 2
[2,1,1,2,3,3] => [3,3,2,2,1,1] => [1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,3,5,7,6,4,2] => 1
[2,1,1,1,3,4] => [4,3,2,1,1,1] => [1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,4,5,6,7,3,2] => 1
[2,1,2,3,2,2] => [3,2,2,2,2,1] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [1,2,6,7,5,4,3] => 1
[2,1,2,2,2,3] => [3,2,2,2,2,1] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [1,2,6,7,5,4,3] => 1
[2,1,2,1,2,4] => [4,2,2,2,1,1] => [1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [1,3,6,5,7,4,2] => 1
[2,1,3,4,1,1] => [4,3,2,1,1,1] => [1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,4,5,6,7,3,2] => 1
[2,1,3,3,1,2] => [3,3,2,2,1,1] => [1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,3,5,7,6,4,2] => 1
[2,1,3,2,1,3] => [3,3,2,2,1,1] => [1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,3,5,7,6,4,2] => 1
[2,1,3,1,1,4] => [4,3,2,1,1,1] => [1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,4,5,6,7,3,2] => 1
[2,1,4,5] => [5,4,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [2,3,4,1,5,6] => 1
[3,3,1,1,2,2] => [3,3,2,2,1,1] => [1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,3,5,7,6,4,2] => 1
[3,3,2,2,1,1] => [3,3,2,2,1,1] => [1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,3,5,7,6,4,2] => 1
[3,3,2,1,1,2] => [3,3,2,2,1,1] => [1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,3,5,7,6,4,2] => 1
[3,2,1,2,2,2] => [3,2,2,2,2,1] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [1,2,6,7,5,4,3] => 1
[3,2,1,1,2,3] => [3,3,2,2,1,1] => [1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,3,5,7,6,4,2] => 1
[3,2,2,3,1,1] => [3,3,2,2,1,1] => [1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,3,5,7,6,4,2] => 1
[3,2,2,2,1,2] => [3,2,2,2,2,1] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [1,2,6,7,5,4,3] => 1
[3,2,2,1,1,3] => [3,3,2,2,1,1] => [1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,3,5,7,6,4,2] => 1
[3,2,3,4] => [4,3,3,2] => [1,1,0,0,1,0,1,1,0,1,0,0] => [2,1,3,5,6,4] => 2
[3,1,1,3,2,2] => [3,3,2,2,1,1] => [1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,3,5,7,6,4,2] => 1
[3,1,1,2,2,3] => [3,3,2,2,1,1] => [1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,3,5,7,6,4,2] => 1
[3,1,1,1,2,4] => [4,3,2,1,1,1] => [1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,4,5,6,7,3,2] => 1
[3,1,2,4,1,1] => [4,3,2,1,1,1] => [1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,4,5,6,7,3,2] => 1
[3,1,2,3,1,2] => [3,3,2,2,1,1] => [1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,3,5,7,6,4,2] => 1
[3,1,2,2,1,3] => [3,3,2,2,1,1] => [1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,3,5,7,6,4,2] => 1
[3,1,2,1,1,4] => [4,3,2,1,1,1] => [1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,4,5,6,7,3,2] => 1
[3,1,3,5] => [5,3,3,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [2,3,1,5,4,6] => 1
[4,4,2,2] => [4,4,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5] => 2
[4,3,1,2,1,1] => [4,3,2,1,1,1] => [1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,4,5,6,7,3,2] => 1
[4,3,1,1,1,2] => [4,3,2,1,1,1] => [1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,4,5,6,7,3,2] => 1
[4,3,2,3] => [4,3,3,2] => [1,1,0,0,1,0,1,1,0,1,0,0] => [2,1,3,5,6,4] => 2
[4,2,1,3,1,1] => [4,3,2,1,1,1] => [1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,4,5,6,7,3,2] => 1
[4,2,1,2,1,2] => [4,2,2,2,1,1] => [1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [1,3,6,5,7,4,2] => 1
[4,2,1,1,1,3] => [4,3,2,1,1,1] => [1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,4,5,6,7,3,2] => 1
[4,2,2,4] => [4,4,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5] => 2
[4,1,1,3,1,2] => [4,3,2,1,1,1] => [1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,4,5,6,7,3,2] => 1
[4,1,1,2,1,3] => [4,3,2,1,1,1] => [1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,4,5,6,7,3,2] => 1
[4,1,2,5] => [5,4,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [2,3,4,1,5,6] => 1
[5,4,1,2] => [5,4,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [2,3,4,1,5,6] => 1
[5,3,1,3] => [5,3,3,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [2,3,1,5,4,6] => 1
[5,2,1,4] => [5,4,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [2,3,4,1,5,6] => 1
[1,2,2,2,3,2] => [3,2,2,2,2,1] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [1,2,6,7,5,4,3] => 1
[1,2,2,3,3,1] => [3,3,2,2,1,1] => [1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,3,5,7,6,4,2] => 1
[1,2,2,3,2,2] => [3,2,2,2,2,1] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [1,2,6,7,5,4,3] => 1
[1,2,2,4,3] => [4,3,2,2,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,2,4,5,6,3] => 1
[1,2,3,3,2,1] => [3,3,2,2,1,1] => [1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,3,5,7,6,4,2] => 1
[1,2,3,4,2] => [4,3,2,2,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,2,4,5,6,3] => 1
[1,2,3,2,3,1] => [3,3,2,2,1,1] => [1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,3,5,7,6,4,2] => 1
[1,2,3,2,2,2] => [3,2,2,2,2,1] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [1,2,6,7,5,4,3] => 1
[1,2,3,3,3] => [3,3,3,2,1] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,2,3,6,5,4] => 1
[1,2,4,4,1] => [4,4,2,1,1] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,3,4,2,6,5] => 1
[1,2,4,3,2] => [4,3,2,2,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,2,4,5,6,3] => 1
[1,2,4,2,3] => [4,3,2,2,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,2,4,5,6,3] => 1
[1,2,5,4] => [5,4,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [2,3,4,1,5,6] => 1
[1,3,3,2,2,1] => [3,3,2,2,1,1] => [1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,3,5,7,6,4,2] => 1
[1,3,3,3,2] => [3,3,3,2,1] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,2,3,6,5,4] => 1
[1,3,4,3,1] => [4,3,3,1,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,3,2,5,6,4] => 1
[1,3,4,2,2] => [4,3,2,2,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,2,4,5,6,3] => 1
[1,3,5,3] => [5,3,3,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [2,3,1,5,4,6] => 1
[1,3,2,3,2,1] => [3,3,2,2,1,1] => [1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,3,5,7,6,4,2] => 1
[1,3,2,4,2] => [4,3,2,2,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,2,4,5,6,3] => 1
[1,3,2,2,3,1] => [3,3,2,2,1,1] => [1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,3,5,7,6,4,2] => 1
[1,3,2,2,2,2] => [3,2,2,2,2,1] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [1,2,6,7,5,4,3] => 1
[1,3,2,3,3] => [3,3,3,2,1] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,2,3,6,5,4] => 1
[1,3,3,4,1] => [4,3,3,1,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,3,2,5,6,4] => 1
[1,3,3,2,3] => [3,3,3,2,1] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,2,3,6,5,4] => 1
[1,3,4,4] => [4,4,3,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [2,3,1,4,6,5] => 1
[1,4,4,2,1] => [4,4,2,1,1] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,3,4,2,6,5] => 1
[1,4,5,2] => [5,4,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [2,3,4,1,5,6] => 1
[1,4,3,3,1] => [4,3,3,1,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,3,2,5,6,4] => 1
[1,4,3,2,2] => [4,3,2,2,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,2,4,5,6,3] => 1
[1,4,4,3] => [4,4,3,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [2,3,1,4,6,5] => 1
[1,4,2,4,1] => [4,4,2,1,1] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,3,4,2,6,5] => 1
[1,4,2,3,2] => [4,3,2,2,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,2,4,5,6,3] => 1
[1,4,2,2,3] => [4,3,2,2,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,2,4,5,6,3] => 1
[1,4,3,4] => [4,4,3,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [2,3,1,4,6,5] => 1
[1,5,4,2] => [5,4,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [2,3,4,1,5,6] => 1
[1,5,3,3] => [5,3,3,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [2,3,1,5,4,6] => 1
[1,5,2,4] => [5,4,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [2,3,4,1,5,6] => 1
[2,3,2,2,2,1] => [3,2,2,2,2,1] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [1,2,6,7,5,4,3] => 1
[2,3,3,3,1] => [3,3,3,2,1] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,2,3,6,5,4] => 1
[2,3,4,3] => [4,3,3,2] => [1,1,0,0,1,0,1,1,0,1,0,0] => [2,1,3,5,6,4] => 2
[2,4,3,2,1] => [4,3,2,2,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,2,4,5,6,3] => 1
[2,4,4,2] => [4,4,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5] => 2
[2,4,2,3,1] => [4,3,2,2,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,2,4,5,6,3] => 1
[2,4,3,3] => [4,3,3,2] => [1,1,0,0,1,0,1,1,0,1,0,0] => [2,1,3,5,6,4] => 2
[2,5,4,1] => [5,4,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [2,3,4,1,5,6] => 1
[2,5,3,2] => [5,3,2,2] => [1,1,0,0,1,1,0,1,0,0,1,0] => [2,1,4,5,3,6] => 2
[2,5,2,3] => [5,3,2,2] => [1,1,0,0,1,1,0,1,0,0,1,0] => [2,1,4,5,3,6] => 2
[2,2,3,2,2,1] => [3,2,2,2,2,1] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [1,2,6,7,5,4,3] => 1
[2,2,4,3,1] => [4,3,2,2,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,2,4,5,6,3] => 1
[2,2,5,3] => [5,3,2,2] => [1,1,0,0,1,1,0,1,0,0,1,0] => [2,1,4,5,3,6] => 2
[2,2,2,3,2,1] => [3,2,2,2,2,1] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [1,2,6,7,5,4,3] => 1
[2,2,2,2,3,1] => [3,2,2,2,2,1] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [1,2,6,7,5,4,3] => 1
[2,2,3,4,1] => [4,3,2,2,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,2,4,5,6,3] => 1
[2,3,4,2,1] => [4,3,2,2,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,2,4,5,6,3] => 1
[2,3,5,2] => [5,3,2,2] => [1,1,0,0,1,1,0,1,0,0,1,0] => [2,1,4,5,3,6] => 2
[2,3,2,4,1] => [4,3,2,2,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,2,4,5,6,3] => 1
[2,3,3,4] => [4,3,3,2] => [1,1,0,0,1,0,1,1,0,1,0,0] => [2,1,3,5,6,4] => 2
[2,4,5,1] => [5,4,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [2,3,4,1,5,6] => 1
[2,4,2,4] => [4,4,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5] => 2
[3,4,2,2,1] => [4,3,2,2,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,2,4,5,6,3] => 1
[3,4,3,2] => [4,3,3,2] => [1,1,0,0,1,0,1,1,0,1,0,0] => [2,1,3,5,6,4] => 2
[3,5,3,1] => [5,3,3,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [2,3,1,5,4,6] => 1
[3,5,2,2] => [5,3,2,2] => [1,1,0,0,1,1,0,1,0,0,1,0] => [2,1,4,5,3,6] => 2
[3,3,3,2,1] => [3,3,3,2,1] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,2,3,6,5,4] => 1
[3,3,4,2] => [4,3,3,2] => [1,1,0,0,1,0,1,1,0,1,0,0] => [2,1,3,5,6,4] => 2
[3,3,2,3,1] => [3,3,3,2,1] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,2,3,6,5,4] => 1
[3,4,4,1] => [4,4,3,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [2,3,1,4,6,5] => 1
[3,4,2,3] => [4,3,3,2] => [1,1,0,0,1,0,1,1,0,1,0,0] => [2,1,3,5,6,4] => 2
[3,5,4] => [5,4,3] => [1,1,1,0,0,0,1,0,1,0,1,0] => [3,2,1,4,5,6] => 3
[3,2,4,2,1] => [4,3,2,2,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,2,4,5,6,3] => 1
[3,2,5,2] => [5,3,2,2] => [1,1,0,0,1,1,0,1,0,0,1,0] => [2,1,4,5,3,6] => 2
[3,2,3,3,1] => [3,3,3,2,1] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,2,3,6,5,4] => 1
[3,2,4,3] => [4,3,3,2] => [1,1,0,0,1,0,1,1,0,1,0,0] => [2,1,3,5,6,4] => 2
[3,2,2,4,1] => [4,3,2,2,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,2,4,5,6,3] => 1
[3,3,5,1] => [5,3,3,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [2,3,1,5,4,6] => 1
[3,3,2,4] => [4,3,3,2] => [1,1,0,0,1,0,1,1,0,1,0,0] => [2,1,3,5,6,4] => 2
[3,4,5] => [5,4,3] => [1,1,1,0,0,0,1,0,1,0,1,0] => [3,2,1,4,5,6] => 3
[4,5,2,1] => [5,4,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [2,3,4,1,5,6] => 1
[4,4,3,1] => [4,4,3,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [2,3,1,4,6,5] => 1
[4,5,3] => [5,4,3] => [1,1,1,0,0,0,1,0,1,0,1,0] => [3,2,1,4,5,6] => 3
[4,3,4,1] => [4,4,3,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [2,3,1,4,6,5] => 1
[4,3,3,2] => [4,3,3,2] => [1,1,0,0,1,0,1,1,0,1,0,0] => [2,1,3,5,6,4] => 2
[4,2,5,1] => [5,4,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [2,3,4,1,5,6] => 1
[4,2,4,2] => [4,4,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5] => 2
[4,2,3,3] => [4,3,3,2] => [1,1,0,0,1,0,1,1,0,1,0,0] => [2,1,3,5,6,4] => 2
[4,3,5] => [5,4,3] => [1,1,1,0,0,0,1,0,1,0,1,0] => [3,2,1,4,5,6] => 3
[5,4,3] => [5,4,3] => [1,1,1,0,0,0,1,0,1,0,1,0] => [3,2,1,4,5,6] => 3
[5,3,4] => [5,4,3] => [1,1,1,0,0,0,1,0,1,0,1,0] => [3,2,1,4,5,6] => 3
[1,5,2,1,2] => [5,2,2,1,1] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,3,5,4,2,6] => 1
[1,2,2,2,2,2] => [2,2,2,2,2,1] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,2,7,6,5,4,3] => 1
[1,2,2,2,1,3] => [3,2,2,2,1,1] => [1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [1,3,6,7,5,4,2] => 1
[1,2,2,1,3,2] => [3,2,2,2,1,1] => [1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [1,3,6,7,5,4,2] => 1
[1,2,2,1,2,3] => [3,2,2,2,1,1] => [1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [1,3,6,7,5,4,2] => 1
[1,2,1,3,2,2] => [3,2,2,2,1,1] => [1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [1,3,6,7,5,4,2] => 1
[1,2,1,3,1,3] => [3,3,2,1,1,1] => [1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [1,4,5,7,6,3,2] => 1
[1,2,1,2,3,2] => [3,2,2,2,1,1] => [1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [1,3,6,7,5,4,2] => 1
[1,2,1,2,2,3] => [3,2,2,2,1,1] => [1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [1,3,6,7,5,4,2] => 1
[1,2,1,1,3,3] => [3,3,2,1,1,1] => [1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [1,4,5,7,6,3,2] => 1
[1,1,3,2,2,2] => [3,2,2,2,1,1] => [1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [1,3,6,7,5,4,2] => 1
[1,1,3,2,1,3] => [3,3,2,1,1,1] => [1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [1,4,5,7,6,3,2] => 1
[1,1,3,1,3,2] => [3,3,2,1,1,1] => [1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [1,4,5,7,6,3,2] => 1
[1,1,3,1,2,3] => [3,3,2,1,1,1] => [1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [1,4,5,7,6,3,2] => 1
[1,1,2,3,2,2] => [3,2,2,2,1,1] => [1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [1,3,6,7,5,4,2] => 1
[1,1,2,3,1,3] => [3,3,2,1,1,1] => [1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [1,4,5,7,6,3,2] => 1
[1,1,2,2,3,2] => [3,2,2,2,1,1] => [1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [1,3,6,7,5,4,2] => 1
[1,1,2,2,2,3] => [3,2,2,2,1,1] => [1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [1,3,6,7,5,4,2] => 1
[1,1,2,1,3,3] => [3,3,2,1,1,1] => [1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [1,4,5,7,6,3,2] => 1
[1,1,1,3,3,2] => [3,3,2,1,1,1] => [1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [1,4,5,7,6,3,2] => 1
[1,1,1,3,2,3] => [3,3,2,1,1,1] => [1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [1,4,5,7,6,3,2] => 1
[1,1,1,2,3,3] => [3,3,2,1,1,1] => [1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [1,4,5,7,6,3,2] => 1
[1,2,2,2,5] => [5,2,2,2,1] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,2,5,4,3,6] => 1
[1,1,2,3,5] => [5,3,2,1,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,3,4,5,2,6] => 1
[3,1,2,1,5] => [5,3,2,1,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,3,4,5,2,6] => 1
[1,3,2,1,5] => [5,3,2,1,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,3,4,5,2,6] => 1
[1,1,4,1,5] => [5,4,1,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,4,3,2,5,6] => 1
[1,1,2,5,3] => [5,3,2,1,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,3,4,5,2,6] => 1
[3,1,2,3,3] => [3,3,3,2,1] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,2,3,6,5,4] => 1
[1,1,4,3,3] => [4,3,3,1,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,3,2,5,6,4] => 1
[5,1,2,1,3] => [5,3,2,1,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,3,4,5,2,6] => 1
[3,3,2,1,3] => [3,3,3,2,1] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,2,3,6,5,4] => 1
[1,5,2,1,3] => [5,3,2,1,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,3,4,5,2,6] => 1
[3,1,4,1,3] => [4,3,3,1,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,3,2,5,6,4] => 1
[1,3,4,1,3] => [4,3,3,1,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,3,2,5,6,4] => 1
[5,2,2,2,1] => [5,2,2,2,1] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,2,5,4,3,6] => 1
[3,1,2,5,1] => [5,3,2,1,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,3,4,5,2,6] => 1
[1,3,2,5,1] => [5,3,2,1,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,3,4,5,2,6] => 1
[1,1,4,5,1] => [5,4,1,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,4,3,2,5,6] => 1
[5,1,2,3,1] => [5,3,2,1,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,3,4,5,2,6] => 1
[1,5,2,3,1] => [5,3,2,1,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,3,4,5,2,6] => 1
[3,1,4,3,1] => [4,3,3,1,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,3,2,5,6,4] => 1
[5,3,2,1,1] => [5,3,2,1,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,3,4,5,2,6] => 1
[3,5,2,1,1] => [5,3,2,1,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,3,4,5,2,6] => 1
[5,1,4,1,1] => [5,4,1,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,4,3,2,5,6] => 1
[3,3,4,1,1] => [4,3,3,1,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,3,2,5,6,4] => 1
[1,5,4,1,1] => [5,4,1,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,4,3,2,5,6] => 1
[3,2,2,2,2,1] => [3,2,2,2,2,1] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [1,2,6,7,5,4,3] => 1
[4,3,2,2,1] => [4,3,2,2,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,2,4,5,6,3] => 1
[4,2,3,2,1] => [4,3,2,2,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,2,4,5,6,3] => 1
[4,2,2,3,1] => [4,3,2,2,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,2,4,5,6,3] => 1
[5,4,2,1] => [5,4,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [2,3,4,1,5,6] => 1
[5,3,3,1] => [5,3,3,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [2,3,1,5,4,6] => 1
[5,3,2,2] => [5,3,2,2] => [1,1,0,0,1,1,0,1,0,0,1,0] => [2,1,4,5,3,6] => 2
[5,2,4,1] => [5,4,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [2,3,4,1,5,6] => 1
[5,2,3,2] => [5,3,2,2] => [1,1,0,0,1,1,0,1,0,0,1,0] => [2,1,4,5,3,6] => 2
[5,2,2,3] => [5,3,2,2] => [1,1,0,0,1,1,0,1,0,0,1,0] => [2,1,4,5,3,6] => 2
[2,1,2,5,1] => [5,2,2,1,1] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,3,5,4,2,6] => 1
[2,2,2,2,2,1] => [2,2,2,2,2,1] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,2,7,6,5,4,3] => 1
[3,1,2,2,2,1] => [3,2,2,2,1,1] => [1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [1,3,6,7,5,4,2] => 1
[2,3,1,2,2,1] => [3,2,2,2,1,1] => [1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [1,3,6,7,5,4,2] => 1
[3,2,1,2,2,1] => [3,2,2,2,1,1] => [1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [1,3,6,7,5,4,2] => 1
[2,2,3,1,2,1] => [3,2,2,2,1,1] => [1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [1,3,6,7,5,4,2] => 1
[3,1,3,1,2,1] => [3,3,2,1,1,1] => [1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [1,4,5,7,6,3,2] => 1
[2,3,2,1,2,1] => [3,2,2,2,1,1] => [1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [1,3,6,7,5,4,2] => 1
[3,2,2,1,2,1] => [3,2,2,2,1,1] => [1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [1,3,6,7,5,4,2] => 1
[3,3,1,1,2,1] => [3,3,2,1,1,1] => [1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [1,4,5,7,6,3,2] => 1
[2,2,2,3,1,1] => [3,2,2,2,1,1] => [1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [1,3,6,7,5,4,2] => 1
[3,1,2,3,1,1] => [3,3,2,1,1,1] => [1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [1,4,5,7,6,3,2] => 1
[2,3,1,3,1,1] => [3,3,2,1,1,1] => [1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [1,4,5,7,6,3,2] => 1
[3,2,1,3,1,1] => [3,3,2,1,1,1] => [1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [1,4,5,7,6,3,2] => 1
[2,2,3,2,1,1] => [3,2,2,2,1,1] => [1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [1,3,6,7,5,4,2] => 1
[3,1,3,2,1,1] => [3,3,2,1,1,1] => [1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [1,4,5,7,6,3,2] => 1
[2,3,2,2,1,1] => [3,2,2,2,1,1] => [1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [1,3,6,7,5,4,2] => 1
[3,2,2,2,1,1] => [3,2,2,2,1,1] => [1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [1,3,6,7,5,4,2] => 1
[3,3,1,2,1,1] => [3,3,2,1,1,1] => [1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [1,4,5,7,6,3,2] => 1
[2,3,3,1,1,1] => [3,3,2,1,1,1] => [1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [1,4,5,7,6,3,2] => 1
[3,2,3,1,1,1] => [3,3,2,1,1,1] => [1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [1,4,5,7,6,3,2] => 1
[3,3,2,1,1,1] => [3,3,2,1,1,1] => [1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [1,4,5,7,6,3,2] => 1
[1,2,2,4,2,1] => [4,2,2,2,1,1] => [1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [1,3,6,5,7,4,2] => 1
[1,2,4,2,2,1] => [4,2,2,2,1,1] => [1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [1,3,6,5,7,4,2] => 1
[1,2,5,2,2] => [5,2,2,2,1] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,2,5,4,3,6] => 1
[1,3,5,2,1] => [5,3,2,1,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,3,4,5,2,6] => 1
[1,4,2,2,2,1] => [4,2,2,2,1,1] => [1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [1,3,6,5,7,4,2] => 1
[1,5,2,2,2] => [5,2,2,2,1] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,2,5,4,3,6] => 1
[1,5,3,2,1] => [5,3,2,1,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,3,4,5,2,6] => 1
[2,5,2,2,1] => [5,2,2,2,1] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,2,5,4,3,6] => 1
[2,2,5,2,1] => [5,2,2,2,1] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,2,5,4,3,6] => 1
[1,1,2,3,2,3] => [3,3,2,2,1,1] => [1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,3,5,7,6,4,2] => 1
[1,2,2,2,2,3] => [3,2,2,2,2,1] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [1,2,6,7,5,4,3] => 1
[1,3,1,5,1] => [5,3,1,1,1] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,4,3,5,2,6] => 1
[1,5,1,3,1] => [5,3,1,1,1] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,4,3,5,2,6] => 1
[1,4,1,4,1] => [4,4,1,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,4,3,2,6,5] => 1
[1,4,3,2,1] => [4,3,2,1,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,3,4,5,6,2] => 1
[1,2,3,4,1] => [4,3,2,1,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,3,4,5,6,2] => 1
[1,2,5,2,1] => [5,2,2,1,1] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,3,5,4,2,6] => 1
[1,4,3,4,1] => [4,4,3,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,3,2,4,6,5] => 1
[1,4,5,2,1] => [5,4,2,1,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,3,4,2,5,6] => 1
[1,2,5,4,1] => [5,4,2,1,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,3,4,2,5,6] => 1
[1,1,2,2,2,4] => [4,2,2,2,1,1] => [1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [1,3,6,5,7,4,2] => 1
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Description
The first ascent of a permutation.
For a permutation $\pi$, this is the smallest index such that $\pi(i) < \pi(i+1)$.
For the first descent, see St000654The first descent of a permutation..
Map
to partition
Description
Sends a composition to the partition obtained by sorting the entries.
Map
to 312-avoiding permutation
Description
Sends a Dyck path to the 312-avoiding permutation according to Bandlow-Killpatrick.
This map is defined in [1] and sends the area (St000012The area of a Dyck path.) to the inversion number (St000018The number of inversions of a permutation.).
Map
to Dyck path
Description
Sends a partition to the shortest Dyck path tracing the shape of its Ferrers diagram.