Identifier
Values
[1,0,1,0] => [1,2] => [1,2] => [1,2] => 1
[1,1,0,0] => [2,1] => [1,2] => [1,2] => 1
[1,0,1,0,1,0] => [1,2,3] => [1,2,3] => [1,2,3] => 1
[1,0,1,1,0,0] => [1,3,2] => [1,2,3] => [1,2,3] => 1
[1,1,0,0,1,0] => [2,1,3] => [1,2,3] => [1,2,3] => 1
[1,1,0,1,0,0] => [2,3,1] => [1,2,3] => [1,2,3] => 1
[1,1,1,0,0,0] => [3,1,2] => [1,3,2] => [1,3,2] => 2
[1,0,1,0,1,0,1,0] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => 1
[1,0,1,0,1,1,0,0] => [1,2,4,3] => [1,2,3,4] => [1,2,3,4] => 1
[1,0,1,1,0,0,1,0] => [1,3,2,4] => [1,2,3,4] => [1,2,3,4] => 1
[1,0,1,1,0,1,0,0] => [1,3,4,2] => [1,2,3,4] => [1,2,3,4] => 1
[1,0,1,1,1,0,0,0] => [1,4,2,3] => [1,2,4,3] => [1,2,4,3] => 2
[1,1,0,0,1,0,1,0] => [2,1,3,4] => [1,2,3,4] => [1,2,3,4] => 1
[1,1,0,0,1,1,0,0] => [2,1,4,3] => [1,2,3,4] => [1,2,3,4] => 1
[1,1,0,1,0,0,1,0] => [2,3,1,4] => [1,2,3,4] => [1,2,3,4] => 1
[1,1,0,1,0,1,0,0] => [2,3,4,1] => [1,2,3,4] => [1,2,3,4] => 1
[1,1,0,1,1,0,0,0] => [2,4,1,3] => [1,2,4,3] => [1,2,4,3] => 2
[1,1,1,0,0,0,1,0] => [3,1,2,4] => [1,3,2,4] => [1,3,2,4] => 2
[1,1,1,0,0,1,0,0] => [3,1,4,2] => [1,3,4,2] => [1,4,3,2] => 2
[1,1,1,0,1,0,0,0] => [3,4,1,2] => [1,3,2,4] => [1,3,2,4] => 2
[1,1,1,1,0,0,0,0] => [4,1,2,3] => [1,4,3,2] => [1,4,3,2] => 2
[1,0,1,0,1,0,1,0,1,0] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => 1
[1,0,1,0,1,0,1,1,0,0] => [1,2,3,5,4] => [1,2,3,4,5] => [1,2,3,4,5] => 1
[1,0,1,0,1,1,0,0,1,0] => [1,2,4,3,5] => [1,2,3,4,5] => [1,2,3,4,5] => 1
[1,0,1,0,1,1,0,1,0,0] => [1,2,4,5,3] => [1,2,3,4,5] => [1,2,3,4,5] => 1
[1,0,1,0,1,1,1,0,0,0] => [1,2,5,3,4] => [1,2,3,5,4] => [1,2,3,5,4] => 2
[1,0,1,1,0,0,1,0,1,0] => [1,3,2,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => 1
[1,0,1,1,0,0,1,1,0,0] => [1,3,2,5,4] => [1,2,3,4,5] => [1,2,3,4,5] => 1
[1,0,1,1,0,1,0,0,1,0] => [1,3,4,2,5] => [1,2,3,4,5] => [1,2,3,4,5] => 1
[1,0,1,1,0,1,0,1,0,0] => [1,3,4,5,2] => [1,2,3,4,5] => [1,2,3,4,5] => 1
[1,0,1,1,0,1,1,0,0,0] => [1,3,5,2,4] => [1,2,3,5,4] => [1,2,3,5,4] => 2
[1,0,1,1,1,0,0,0,1,0] => [1,4,2,3,5] => [1,2,4,3,5] => [1,2,4,3,5] => 2
[1,0,1,1,1,0,0,1,0,0] => [1,4,2,5,3] => [1,2,4,5,3] => [1,2,5,4,3] => 2
[1,0,1,1,1,0,1,0,0,0] => [1,4,5,2,3] => [1,2,4,3,5] => [1,2,4,3,5] => 2
[1,0,1,1,1,1,0,0,0,0] => [1,5,2,3,4] => [1,2,5,4,3] => [1,2,5,4,3] => 2
[1,1,0,0,1,0,1,0,1,0] => [2,1,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => 1
[1,1,0,0,1,0,1,1,0,0] => [2,1,3,5,4] => [1,2,3,4,5] => [1,2,3,4,5] => 1
[1,1,0,0,1,1,0,0,1,0] => [2,1,4,3,5] => [1,2,3,4,5] => [1,2,3,4,5] => 1
[1,1,0,0,1,1,0,1,0,0] => [2,1,4,5,3] => [1,2,3,4,5] => [1,2,3,4,5] => 1
[1,1,0,0,1,1,1,0,0,0] => [2,1,5,3,4] => [1,2,3,5,4] => [1,2,3,5,4] => 2
[1,1,0,1,0,0,1,0,1,0] => [2,3,1,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => 1
[1,1,0,1,0,0,1,1,0,0] => [2,3,1,5,4] => [1,2,3,4,5] => [1,2,3,4,5] => 1
[1,1,0,1,0,1,0,0,1,0] => [2,3,4,1,5] => [1,2,3,4,5] => [1,2,3,4,5] => 1
[1,1,0,1,0,1,0,1,0,0] => [2,3,4,5,1] => [1,2,3,4,5] => [1,2,3,4,5] => 1
[1,1,0,1,0,1,1,0,0,0] => [2,3,5,1,4] => [1,2,3,5,4] => [1,2,3,5,4] => 2
[1,1,0,1,1,0,0,0,1,0] => [2,4,1,3,5] => [1,2,4,3,5] => [1,2,4,3,5] => 2
[1,1,0,1,1,0,0,1,0,0] => [2,4,1,5,3] => [1,2,4,5,3] => [1,2,5,4,3] => 2
[1,1,0,1,1,0,1,0,0,0] => [2,4,5,1,3] => [1,2,4,3,5] => [1,2,4,3,5] => 2
[1,1,0,1,1,1,0,0,0,0] => [2,5,1,3,4] => [1,2,5,4,3] => [1,2,5,4,3] => 2
[1,1,1,0,0,0,1,0,1,0] => [3,1,2,4,5] => [1,3,2,4,5] => [1,3,2,4,5] => 2
[1,1,1,0,0,0,1,1,0,0] => [3,1,2,5,4] => [1,3,2,4,5] => [1,3,2,4,5] => 2
[1,1,1,0,0,1,0,0,1,0] => [3,1,4,2,5] => [1,3,4,2,5] => [1,4,3,2,5] => 2
[1,1,1,0,0,1,0,1,0,0] => [3,1,4,5,2] => [1,3,4,5,2] => [1,5,3,4,2] => 2
[1,1,1,0,0,1,1,0,0,0] => [3,1,5,2,4] => [1,3,5,4,2] => [1,5,4,3,2] => 2
[1,1,1,0,1,0,0,0,1,0] => [3,4,1,2,5] => [1,3,2,4,5] => [1,3,2,4,5] => 2
[1,1,1,0,1,0,0,1,0,0] => [3,4,1,5,2] => [1,3,2,4,5] => [1,3,2,4,5] => 2
[1,1,1,0,1,0,1,0,0,0] => [3,4,5,1,2] => [1,3,5,2,4] => [1,4,5,2,3] => 2
[1,1,1,0,1,1,0,0,0,0] => [3,5,1,2,4] => [1,3,2,5,4] => [1,3,2,5,4] => 2
[1,1,1,1,0,0,0,0,1,0] => [4,1,2,3,5] => [1,4,3,2,5] => [1,4,3,2,5] => 2
[1,1,1,1,0,0,0,1,0,0] => [4,1,2,5,3] => [1,4,5,3,2] => [1,5,4,3,2] => 2
[1,1,1,1,0,0,1,0,0,0] => [4,1,5,2,3] => [1,4,2,3,5] => [1,4,3,2,5] => 2
[1,1,1,1,0,1,0,0,0,0] => [4,5,1,2,3] => [1,4,2,5,3] => [1,5,3,4,2] => 2
[1,1,1,1,1,0,0,0,0,0] => [5,1,2,3,4] => [1,5,4,3,2] => [1,5,4,3,2] => 2
[1,0,1,0,1,0,1,0,1,0,1,0] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => 1
[1,0,1,0,1,0,1,0,1,1,0,0] => [1,2,3,4,6,5] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => 1
[1,0,1,0,1,0,1,1,0,0,1,0] => [1,2,3,5,4,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => 1
[1,0,1,0,1,0,1,1,0,1,0,0] => [1,2,3,5,6,4] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => 1
[1,0,1,0,1,0,1,1,1,0,0,0] => [1,2,3,6,4,5] => [1,2,3,4,6,5] => [1,2,3,4,6,5] => 2
[1,0,1,0,1,1,0,0,1,0,1,0] => [1,2,4,3,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => 1
[1,0,1,0,1,1,0,0,1,1,0,0] => [1,2,4,3,6,5] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => 1
[1,0,1,0,1,1,0,1,0,0,1,0] => [1,2,4,5,3,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => 1
[1,0,1,0,1,1,0,1,0,1,0,0] => [1,2,4,5,6,3] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => 1
[1,0,1,0,1,1,0,1,1,0,0,0] => [1,2,4,6,3,5] => [1,2,3,4,6,5] => [1,2,3,4,6,5] => 2
[1,0,1,0,1,1,1,0,0,0,1,0] => [1,2,5,3,4,6] => [1,2,3,5,4,6] => [1,2,3,5,4,6] => 2
[1,0,1,0,1,1,1,0,0,1,0,0] => [1,2,5,3,6,4] => [1,2,3,5,6,4] => [1,2,3,6,5,4] => 2
[1,0,1,0,1,1,1,0,1,0,0,0] => [1,2,5,6,3,4] => [1,2,3,5,4,6] => [1,2,3,5,4,6] => 2
[1,0,1,0,1,1,1,1,0,0,0,0] => [1,2,6,3,4,5] => [1,2,3,6,5,4] => [1,2,3,6,5,4] => 2
[1,0,1,1,0,0,1,0,1,0,1,0] => [1,3,2,4,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => 1
[1,0,1,1,0,0,1,0,1,1,0,0] => [1,3,2,4,6,5] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => 1
[1,0,1,1,0,0,1,1,0,0,1,0] => [1,3,2,5,4,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => 1
[1,0,1,1,0,0,1,1,0,1,0,0] => [1,3,2,5,6,4] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => 1
[1,0,1,1,0,0,1,1,1,0,0,0] => [1,3,2,6,4,5] => [1,2,3,4,6,5] => [1,2,3,4,6,5] => 2
[1,0,1,1,0,1,0,0,1,0,1,0] => [1,3,4,2,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => 1
[1,0,1,1,0,1,0,0,1,1,0,0] => [1,3,4,2,6,5] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => 1
[1,0,1,1,0,1,0,1,0,0,1,0] => [1,3,4,5,2,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => 1
[1,0,1,1,0,1,0,1,0,1,0,0] => [1,3,4,5,6,2] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => 1
[1,0,1,1,0,1,0,1,1,0,0,0] => [1,3,4,6,2,5] => [1,2,3,4,6,5] => [1,2,3,4,6,5] => 2
[1,0,1,1,0,1,1,0,0,0,1,0] => [1,3,5,2,4,6] => [1,2,3,5,4,6] => [1,2,3,5,4,6] => 2
[1,0,1,1,0,1,1,0,0,1,0,0] => [1,3,5,2,6,4] => [1,2,3,5,6,4] => [1,2,3,6,5,4] => 2
[1,0,1,1,0,1,1,0,1,0,0,0] => [1,3,5,6,2,4] => [1,2,3,5,4,6] => [1,2,3,5,4,6] => 2
[1,0,1,1,0,1,1,1,0,0,0,0] => [1,3,6,2,4,5] => [1,2,3,6,5,4] => [1,2,3,6,5,4] => 2
[1,0,1,1,1,0,0,0,1,0,1,0] => [1,4,2,3,5,6] => [1,2,4,3,5,6] => [1,2,4,3,5,6] => 2
[1,0,1,1,1,0,0,0,1,1,0,0] => [1,4,2,3,6,5] => [1,2,4,3,5,6] => [1,2,4,3,5,6] => 2
[1,0,1,1,1,0,0,1,0,0,1,0] => [1,4,2,5,3,6] => [1,2,4,5,3,6] => [1,2,5,4,3,6] => 2
[1,0,1,1,1,0,0,1,0,1,0,0] => [1,4,2,5,6,3] => [1,2,4,5,6,3] => [1,2,6,4,5,3] => 2
[1,0,1,1,1,0,0,1,1,0,0,0] => [1,4,2,6,3,5] => [1,2,4,6,5,3] => [1,2,6,5,4,3] => 2
[1,0,1,1,1,0,1,0,0,0,1,0] => [1,4,5,2,3,6] => [1,2,4,3,5,6] => [1,2,4,3,5,6] => 2
[1,0,1,1,1,0,1,0,0,1,0,0] => [1,4,5,2,6,3] => [1,2,4,3,5,6] => [1,2,4,3,5,6] => 2
[1,0,1,1,1,0,1,0,1,0,0,0] => [1,4,5,6,2,3] => [1,2,4,6,3,5] => [1,2,5,6,3,4] => 2
[1,0,1,1,1,0,1,1,0,0,0,0] => [1,4,6,2,3,5] => [1,2,4,3,6,5] => [1,2,4,3,6,5] => 2
[1,0,1,1,1,1,0,0,0,0,1,0] => [1,5,2,3,4,6] => [1,2,5,4,3,6] => [1,2,5,4,3,6] => 2
>>> Load all 530 entries. <<<
[1,0,1,1,1,1,0,0,0,1,0,0] => [1,5,2,3,6,4] => [1,2,5,6,4,3] => [1,2,6,5,4,3] => 2
[1,0,1,1,1,1,0,0,1,0,0,0] => [1,5,2,6,3,4] => [1,2,5,3,4,6] => [1,2,5,4,3,6] => 2
[1,0,1,1,1,1,0,1,0,0,0,0] => [1,5,6,2,3,4] => [1,2,5,3,6,4] => [1,2,6,4,5,3] => 2
[1,0,1,1,1,1,1,0,0,0,0,0] => [1,6,2,3,4,5] => [1,2,6,5,4,3] => [1,2,6,5,4,3] => 2
[1,1,0,0,1,0,1,0,1,0,1,0] => [2,1,3,4,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => 1
[1,1,0,0,1,0,1,0,1,1,0,0] => [2,1,3,4,6,5] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => 1
[1,1,0,0,1,0,1,1,0,0,1,0] => [2,1,3,5,4,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => 1
[1,1,0,0,1,0,1,1,0,1,0,0] => [2,1,3,5,6,4] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => 1
[1,1,0,0,1,0,1,1,1,0,0,0] => [2,1,3,6,4,5] => [1,2,3,4,6,5] => [1,2,3,4,6,5] => 2
[1,1,0,0,1,1,0,0,1,0,1,0] => [2,1,4,3,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => 1
[1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => 1
[1,1,0,0,1,1,0,1,0,0,1,0] => [2,1,4,5,3,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => 1
[1,1,0,0,1,1,0,1,0,1,0,0] => [2,1,4,5,6,3] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => 1
[1,1,0,0,1,1,0,1,1,0,0,0] => [2,1,4,6,3,5] => [1,2,3,4,6,5] => [1,2,3,4,6,5] => 2
[1,1,0,0,1,1,1,0,0,0,1,0] => [2,1,5,3,4,6] => [1,2,3,5,4,6] => [1,2,3,5,4,6] => 2
[1,1,0,0,1,1,1,0,0,1,0,0] => [2,1,5,3,6,4] => [1,2,3,5,6,4] => [1,2,3,6,5,4] => 2
[1,1,0,0,1,1,1,0,1,0,0,0] => [2,1,5,6,3,4] => [1,2,3,5,4,6] => [1,2,3,5,4,6] => 2
[1,1,0,0,1,1,1,1,0,0,0,0] => [2,1,6,3,4,5] => [1,2,3,6,5,4] => [1,2,3,6,5,4] => 2
[1,1,0,1,0,0,1,0,1,0,1,0] => [2,3,1,4,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => 1
[1,1,0,1,0,0,1,0,1,1,0,0] => [2,3,1,4,6,5] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => 1
[1,1,0,1,0,0,1,1,0,0,1,0] => [2,3,1,5,4,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => 1
[1,1,0,1,0,0,1,1,0,1,0,0] => [2,3,1,5,6,4] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => 1
[1,1,0,1,0,0,1,1,1,0,0,0] => [2,3,1,6,4,5] => [1,2,3,4,6,5] => [1,2,3,4,6,5] => 2
[1,1,0,1,0,1,0,0,1,0,1,0] => [2,3,4,1,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => 1
[1,1,0,1,0,1,0,0,1,1,0,0] => [2,3,4,1,6,5] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => 1
[1,1,0,1,0,1,0,1,0,0,1,0] => [2,3,4,5,1,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => 1
[1,1,0,1,0,1,0,1,0,1,0,0] => [2,3,4,5,6,1] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => 1
[1,1,0,1,0,1,0,1,1,0,0,0] => [2,3,4,6,1,5] => [1,2,3,4,6,5] => [1,2,3,4,6,5] => 2
[1,1,0,1,0,1,1,0,0,0,1,0] => [2,3,5,1,4,6] => [1,2,3,5,4,6] => [1,2,3,5,4,6] => 2
[1,1,0,1,0,1,1,0,0,1,0,0] => [2,3,5,1,6,4] => [1,2,3,5,6,4] => [1,2,3,6,5,4] => 2
[1,1,0,1,0,1,1,0,1,0,0,0] => [2,3,5,6,1,4] => [1,2,3,5,4,6] => [1,2,3,5,4,6] => 2
[1,1,0,1,0,1,1,1,0,0,0,0] => [2,3,6,1,4,5] => [1,2,3,6,5,4] => [1,2,3,6,5,4] => 2
[1,1,0,1,1,0,0,0,1,0,1,0] => [2,4,1,3,5,6] => [1,2,4,3,5,6] => [1,2,4,3,5,6] => 2
[1,1,0,1,1,0,0,0,1,1,0,0] => [2,4,1,3,6,5] => [1,2,4,3,5,6] => [1,2,4,3,5,6] => 2
[1,1,0,1,1,0,0,1,0,0,1,0] => [2,4,1,5,3,6] => [1,2,4,5,3,6] => [1,2,5,4,3,6] => 2
[1,1,0,1,1,0,0,1,0,1,0,0] => [2,4,1,5,6,3] => [1,2,4,5,6,3] => [1,2,6,4,5,3] => 2
[1,1,0,1,1,0,0,1,1,0,0,0] => [2,4,1,6,3,5] => [1,2,4,6,5,3] => [1,2,6,5,4,3] => 2
[1,1,0,1,1,0,1,0,0,0,1,0] => [2,4,5,1,3,6] => [1,2,4,3,5,6] => [1,2,4,3,5,6] => 2
[1,1,0,1,1,0,1,0,0,1,0,0] => [2,4,5,1,6,3] => [1,2,4,3,5,6] => [1,2,4,3,5,6] => 2
[1,1,0,1,1,0,1,0,1,0,0,0] => [2,4,5,6,1,3] => [1,2,4,6,3,5] => [1,2,5,6,3,4] => 2
[1,1,0,1,1,0,1,1,0,0,0,0] => [2,4,6,1,3,5] => [1,2,4,3,6,5] => [1,2,4,3,6,5] => 2
[1,1,0,1,1,1,0,0,0,0,1,0] => [2,5,1,3,4,6] => [1,2,5,4,3,6] => [1,2,5,4,3,6] => 2
[1,1,0,1,1,1,0,0,0,1,0,0] => [2,5,1,3,6,4] => [1,2,5,6,4,3] => [1,2,6,5,4,3] => 2
[1,1,0,1,1,1,0,0,1,0,0,0] => [2,5,1,6,3,4] => [1,2,5,3,4,6] => [1,2,5,4,3,6] => 2
[1,1,0,1,1,1,0,1,0,0,0,0] => [2,5,6,1,3,4] => [1,2,5,3,6,4] => [1,2,6,4,5,3] => 2
[1,1,0,1,1,1,1,0,0,0,0,0] => [2,6,1,3,4,5] => [1,2,6,5,4,3] => [1,2,6,5,4,3] => 2
[1,1,1,0,0,0,1,0,1,0,1,0] => [3,1,2,4,5,6] => [1,3,2,4,5,6] => [1,3,2,4,5,6] => 2
[1,1,1,0,0,0,1,0,1,1,0,0] => [3,1,2,4,6,5] => [1,3,2,4,5,6] => [1,3,2,4,5,6] => 2
[1,1,1,0,0,0,1,1,0,0,1,0] => [3,1,2,5,4,6] => [1,3,2,4,5,6] => [1,3,2,4,5,6] => 2
[1,1,1,0,0,0,1,1,0,1,0,0] => [3,1,2,5,6,4] => [1,3,2,4,5,6] => [1,3,2,4,5,6] => 2
[1,1,1,0,0,0,1,1,1,0,0,0] => [3,1,2,6,4,5] => [1,3,2,4,6,5] => [1,3,2,4,6,5] => 2
[1,1,1,0,0,1,0,0,1,0,1,0] => [3,1,4,2,5,6] => [1,3,4,2,5,6] => [1,4,3,2,5,6] => 2
[1,1,1,0,0,1,0,0,1,1,0,0] => [3,1,4,2,6,5] => [1,3,4,2,5,6] => [1,4,3,2,5,6] => 2
[1,1,1,0,0,1,0,1,0,0,1,0] => [3,1,4,5,2,6] => [1,3,4,5,2,6] => [1,5,3,4,2,6] => 2
[1,1,1,0,0,1,0,1,0,1,0,0] => [3,1,4,5,6,2] => [1,3,4,5,6,2] => [1,6,3,4,5,2] => 2
[1,1,1,0,0,1,0,1,1,0,0,0] => [3,1,4,6,2,5] => [1,3,4,6,5,2] => [1,6,3,5,4,2] => 2
[1,1,1,0,0,1,1,0,0,0,1,0] => [3,1,5,2,4,6] => [1,3,5,4,2,6] => [1,5,4,3,2,6] => 2
[1,1,1,0,0,1,1,0,0,1,0,0] => [3,1,5,2,6,4] => [1,3,5,6,4,2] => [1,6,5,4,3,2] => 2
[1,1,1,0,0,1,1,0,1,0,0,0] => [3,1,5,6,2,4] => [1,3,5,2,4,6] => [1,4,5,2,3,6] => 2
[1,1,1,0,0,1,1,1,0,0,0,0] => [3,1,6,2,4,5] => [1,3,6,5,4,2] => [1,6,5,4,3,2] => 2
[1,1,1,0,1,0,0,0,1,0,1,0] => [3,4,1,2,5,6] => [1,3,2,4,5,6] => [1,3,2,4,5,6] => 2
[1,1,1,0,1,0,0,0,1,1,0,0] => [3,4,1,2,6,5] => [1,3,2,4,5,6] => [1,3,2,4,5,6] => 2
[1,1,1,0,1,0,0,1,0,0,1,0] => [3,4,1,5,2,6] => [1,3,2,4,5,6] => [1,3,2,4,5,6] => 2
[1,1,1,0,1,0,0,1,0,1,0,0] => [3,4,1,5,6,2] => [1,3,2,4,5,6] => [1,3,2,4,5,6] => 2
[1,1,1,0,1,0,0,1,1,0,0,0] => [3,4,1,6,2,5] => [1,3,2,4,6,5] => [1,3,2,4,6,5] => 2
[1,1,1,0,1,0,1,0,0,0,1,0] => [3,4,5,1,2,6] => [1,3,5,2,4,6] => [1,4,5,2,3,6] => 2
[1,1,1,0,1,0,1,0,0,1,0,0] => [3,4,5,1,6,2] => [1,3,5,6,2,4] => [1,5,6,4,2,3] => 2
[1,1,1,0,1,0,1,0,1,0,0,0] => [3,4,5,6,1,2] => [1,3,5,2,4,6] => [1,4,5,2,3,6] => 2
[1,1,1,0,1,0,1,1,0,0,0,0] => [3,4,6,1,2,5] => [1,3,6,5,2,4] => [1,5,6,4,2,3] => 2
[1,1,1,0,1,1,0,0,0,0,1,0] => [3,5,1,2,4,6] => [1,3,2,5,4,6] => [1,3,2,5,4,6] => 2
[1,1,1,0,1,1,0,0,0,1,0,0] => [3,5,1,2,6,4] => [1,3,2,5,6,4] => [1,3,2,6,5,4] => 2
[1,1,1,0,1,1,0,0,1,0,0,0] => [3,5,1,6,2,4] => [1,3,2,5,4,6] => [1,3,2,5,4,6] => 2
[1,1,1,0,1,1,0,1,0,0,0,0] => [3,5,6,1,2,4] => [1,3,6,4,2,5] => [1,5,6,4,2,3] => 2
[1,1,1,0,1,1,1,0,0,0,0,0] => [3,6,1,2,4,5] => [1,3,2,6,5,4] => [1,3,2,6,5,4] => 2
[1,1,1,1,0,0,0,0,1,0,1,0] => [4,1,2,3,5,6] => [1,4,3,2,5,6] => [1,4,3,2,5,6] => 2
[1,1,1,1,0,0,0,0,1,1,0,0] => [4,1,2,3,6,5] => [1,4,3,2,5,6] => [1,4,3,2,5,6] => 2
[1,1,1,1,0,0,0,1,0,0,1,0] => [4,1,2,5,3,6] => [1,4,5,3,2,6] => [1,5,4,3,2,6] => 2
[1,1,1,1,0,0,0,1,0,1,0,0] => [4,1,2,5,6,3] => [1,4,5,6,3,2] => [1,6,5,4,3,2] => 2
[1,1,1,1,0,0,0,1,1,0,0,0] => [4,1,2,6,3,5] => [1,4,6,5,3,2] => [1,6,5,4,3,2] => 2
[1,1,1,1,0,0,1,0,0,0,1,0] => [4,1,5,2,3,6] => [1,4,2,3,5,6] => [1,4,3,2,5,6] => 2
[1,1,1,1,0,0,1,0,0,1,0,0] => [4,1,5,2,6,3] => [1,4,2,3,5,6] => [1,4,3,2,5,6] => 2
[1,1,1,1,0,0,1,0,1,0,0,0] => [4,1,5,6,2,3] => [1,4,6,3,5,2] => [1,6,5,4,3,2] => 2
[1,1,1,1,0,0,1,1,0,0,0,0] => [4,1,6,2,3,5] => [1,4,2,3,6,5] => [1,4,3,2,6,5] => 2
[1,1,1,1,0,1,0,0,0,0,1,0] => [4,5,1,2,3,6] => [1,4,2,5,3,6] => [1,5,3,4,2,6] => 2
[1,1,1,1,0,1,0,0,0,1,0,0] => [4,5,1,2,6,3] => [1,4,2,5,6,3] => [1,6,3,4,5,2] => 2
[1,1,1,1,0,1,0,0,1,0,0,0] => [4,5,1,6,2,3] => [1,4,6,3,2,5] => [1,5,6,4,2,3] => 2
[1,1,1,1,0,1,0,1,0,0,0,0] => [4,5,6,1,2,3] => [1,4,2,5,3,6] => [1,5,3,4,2,6] => 2
[1,1,1,1,0,1,1,0,0,0,0,0] => [4,6,1,2,3,5] => [1,4,2,6,5,3] => [1,6,3,5,4,2] => 2
[1,1,1,1,1,0,0,0,0,0,1,0] => [5,1,2,3,4,6] => [1,5,4,3,2,6] => [1,5,4,3,2,6] => 2
[1,1,1,1,1,0,0,0,0,1,0,0] => [5,1,2,3,6,4] => [1,5,6,4,3,2] => [1,6,5,4,3,2] => 2
[1,1,1,1,1,0,0,0,1,0,0,0] => [5,1,2,6,3,4] => [1,5,3,2,4,6] => [1,5,4,3,2,6] => 2
[1,1,1,1,1,0,0,1,0,0,0,0] => [5,1,6,2,3,4] => [1,5,3,6,4,2] => [1,6,5,4,3,2] => 2
[1,1,1,1,1,0,1,0,0,0,0,0] => [5,6,1,2,3,4] => [1,5,3,2,6,4] => [1,6,4,3,5,2] => 2
[1,1,1,1,1,1,0,0,0,0,0,0] => [6,1,2,3,4,5] => [1,6,5,4,3,2] => [1,6,5,4,3,2] => 2
[1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 1
[1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,2,3,4,5,7,6] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 1
[1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,2,3,4,6,5,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 1
[1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,2,3,4,6,7,5] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 1
[1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,2,3,4,7,5,6] => [1,2,3,4,5,7,6] => [1,2,3,4,5,7,6] => 2
[1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,2,3,5,4,6,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 1
[1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [1,2,3,5,4,7,6] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 1
[1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,2,3,5,6,4,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 1
[1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,2,3,5,6,7,4] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 1
[1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [1,2,3,5,7,4,6] => [1,2,3,4,5,7,6] => [1,2,3,4,5,7,6] => 2
[1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [1,2,3,6,4,5,7] => [1,2,3,4,6,5,7] => [1,2,3,4,6,5,7] => 2
[1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [1,2,3,6,4,7,5] => [1,2,3,4,6,7,5] => [1,2,3,4,7,6,5] => 2
[1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [1,2,3,6,7,4,5] => [1,2,3,4,6,5,7] => [1,2,3,4,6,5,7] => 2
[1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,2,3,7,4,5,6] => [1,2,3,4,7,6,5] => [1,2,3,4,7,6,5] => 2
[1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,2,4,3,5,6,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 1
[1,0,1,0,1,1,0,0,1,0,1,1,0,0] => [1,2,4,3,5,7,6] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 1
[1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [1,2,4,3,6,5,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 1
[1,0,1,0,1,1,0,0,1,1,0,1,0,0] => [1,2,4,3,6,7,5] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 1
[1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [1,2,4,3,7,5,6] => [1,2,3,4,5,7,6] => [1,2,3,4,5,7,6] => 2
[1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [1,2,4,5,3,6,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 1
[1,0,1,0,1,1,0,1,0,0,1,1,0,0] => [1,2,4,5,3,7,6] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 1
[1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [1,2,4,5,6,3,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 1
[1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,2,4,5,6,7,3] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 1
[1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [1,2,4,5,7,3,6] => [1,2,3,4,5,7,6] => [1,2,3,4,5,7,6] => 2
[1,0,1,0,1,1,0,1,1,0,0,0,1,0] => [1,2,4,6,3,5,7] => [1,2,3,4,6,5,7] => [1,2,3,4,6,5,7] => 2
[1,0,1,0,1,1,0,1,1,0,0,1,0,0] => [1,2,4,6,3,7,5] => [1,2,3,4,6,7,5] => [1,2,3,4,7,6,5] => 2
[1,0,1,0,1,1,0,1,1,0,1,0,0,0] => [1,2,4,6,7,3,5] => [1,2,3,4,6,5,7] => [1,2,3,4,6,5,7] => 2
[1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [1,2,4,7,3,5,6] => [1,2,3,4,7,6,5] => [1,2,3,4,7,6,5] => 2
[1,0,1,0,1,1,1,0,0,0,1,0,1,0] => [1,2,5,3,4,6,7] => [1,2,3,5,4,6,7] => [1,2,3,5,4,6,7] => 2
[1,0,1,0,1,1,1,0,0,0,1,1,0,0] => [1,2,5,3,4,7,6] => [1,2,3,5,4,6,7] => [1,2,3,5,4,6,7] => 2
[1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [1,2,5,3,6,4,7] => [1,2,3,5,6,4,7] => [1,2,3,6,5,4,7] => 2
[1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [1,2,5,3,6,7,4] => [1,2,3,5,6,7,4] => [1,2,3,7,5,6,4] => 2
[1,0,1,0,1,1,1,0,0,1,1,0,0,0] => [1,2,5,3,7,4,6] => [1,2,3,5,7,6,4] => [1,2,3,7,6,5,4] => 2
[1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [1,2,5,6,3,4,7] => [1,2,3,5,4,6,7] => [1,2,3,5,4,6,7] => 2
[1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [1,2,5,6,3,7,4] => [1,2,3,5,4,6,7] => [1,2,3,5,4,6,7] => 2
[1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [1,2,5,6,7,3,4] => [1,2,3,5,7,4,6] => [1,2,3,6,7,4,5] => 2
[1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [1,2,5,7,3,4,6] => [1,2,3,5,4,7,6] => [1,2,3,5,4,7,6] => 2
[1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [1,2,6,3,4,5,7] => [1,2,3,6,5,4,7] => [1,2,3,6,5,4,7] => 2
[1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [1,2,6,3,4,7,5] => [1,2,3,6,7,5,4] => [1,2,3,7,6,5,4] => 2
[1,0,1,0,1,1,1,1,0,0,1,0,0,0] => [1,2,6,3,7,4,5] => [1,2,3,6,4,5,7] => [1,2,3,6,5,4,7] => 2
[1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [1,2,6,7,3,4,5] => [1,2,3,6,4,7,5] => [1,2,3,7,5,6,4] => 2
[1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,2,7,3,4,5,6] => [1,2,3,7,6,5,4] => [1,2,3,7,6,5,4] => 2
[1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,3,2,4,5,6,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 1
[1,0,1,1,0,0,1,0,1,0,1,1,0,0] => [1,3,2,4,5,7,6] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 1
[1,0,1,1,0,0,1,0,1,1,0,0,1,0] => [1,3,2,4,6,5,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 1
[1,0,1,1,0,0,1,0,1,1,0,1,0,0] => [1,3,2,4,6,7,5] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 1
[1,0,1,1,0,0,1,0,1,1,1,0,0,0] => [1,3,2,4,7,5,6] => [1,2,3,4,5,7,6] => [1,2,3,4,5,7,6] => 2
[1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [1,3,2,5,4,6,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 1
[1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,3,2,5,4,7,6] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 1
[1,0,1,1,0,0,1,1,0,1,0,0,1,0] => [1,3,2,5,6,4,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 1
[1,0,1,1,0,0,1,1,0,1,0,1,0,0] => [1,3,2,5,6,7,4] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 1
[1,0,1,1,0,0,1,1,0,1,1,0,0,0] => [1,3,2,5,7,4,6] => [1,2,3,4,5,7,6] => [1,2,3,4,5,7,6] => 2
[1,0,1,1,0,0,1,1,1,0,0,0,1,0] => [1,3,2,6,4,5,7] => [1,2,3,4,6,5,7] => [1,2,3,4,6,5,7] => 2
[1,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,3,2,6,4,7,5] => [1,2,3,4,6,7,5] => [1,2,3,4,7,6,5] => 2
[1,0,1,1,0,0,1,1,1,0,1,0,0,0] => [1,3,2,6,7,4,5] => [1,2,3,4,6,5,7] => [1,2,3,4,6,5,7] => 2
[1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [1,3,2,7,4,5,6] => [1,2,3,4,7,6,5] => [1,2,3,4,7,6,5] => 2
[1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [1,3,4,2,5,6,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 1
[1,0,1,1,0,1,0,0,1,0,1,1,0,0] => [1,3,4,2,5,7,6] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 1
[1,0,1,1,0,1,0,0,1,1,0,0,1,0] => [1,3,4,2,6,5,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 1
[1,0,1,1,0,1,0,0,1,1,0,1,0,0] => [1,3,4,2,6,7,5] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 1
[1,0,1,1,0,1,0,0,1,1,1,0,0,0] => [1,3,4,2,7,5,6] => [1,2,3,4,5,7,6] => [1,2,3,4,5,7,6] => 2
[1,0,1,1,0,1,0,1,0,0,1,0,1,0] => [1,3,4,5,2,6,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 1
[1,0,1,1,0,1,0,1,0,0,1,1,0,0] => [1,3,4,5,2,7,6] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 1
[1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [1,3,4,5,6,2,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 1
[1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,3,4,5,6,7,2] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 1
[1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [1,3,4,5,7,2,6] => [1,2,3,4,5,7,6] => [1,2,3,4,5,7,6] => 2
[1,0,1,1,0,1,0,1,1,0,0,0,1,0] => [1,3,4,6,2,5,7] => [1,2,3,4,6,5,7] => [1,2,3,4,6,5,7] => 2
[1,0,1,1,0,1,0,1,1,0,0,1,0,0] => [1,3,4,6,2,7,5] => [1,2,3,4,6,7,5] => [1,2,3,4,7,6,5] => 2
[1,0,1,1,0,1,0,1,1,0,1,0,0,0] => [1,3,4,6,7,2,5] => [1,2,3,4,6,5,7] => [1,2,3,4,6,5,7] => 2
[1,0,1,1,0,1,0,1,1,1,0,0,0,0] => [1,3,4,7,2,5,6] => [1,2,3,4,7,6,5] => [1,2,3,4,7,6,5] => 2
[1,0,1,1,0,1,1,0,0,0,1,0,1,0] => [1,3,5,2,4,6,7] => [1,2,3,5,4,6,7] => [1,2,3,5,4,6,7] => 2
[1,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,3,5,2,4,7,6] => [1,2,3,5,4,6,7] => [1,2,3,5,4,6,7] => 2
[1,0,1,1,0,1,1,0,0,1,0,0,1,0] => [1,3,5,2,6,4,7] => [1,2,3,5,6,4,7] => [1,2,3,6,5,4,7] => 2
[1,0,1,1,0,1,1,0,0,1,0,1,0,0] => [1,3,5,2,6,7,4] => [1,2,3,5,6,7,4] => [1,2,3,7,5,6,4] => 2
[1,0,1,1,0,1,1,0,0,1,1,0,0,0] => [1,3,5,2,7,4,6] => [1,2,3,5,7,6,4] => [1,2,3,7,6,5,4] => 2
[1,0,1,1,0,1,1,0,1,0,0,0,1,0] => [1,3,5,6,2,4,7] => [1,2,3,5,4,6,7] => [1,2,3,5,4,6,7] => 2
[1,0,1,1,0,1,1,0,1,0,0,1,0,0] => [1,3,5,6,2,7,4] => [1,2,3,5,4,6,7] => [1,2,3,5,4,6,7] => 2
[1,0,1,1,0,1,1,0,1,0,1,0,0,0] => [1,3,5,6,7,2,4] => [1,2,3,5,7,4,6] => [1,2,3,6,7,4,5] => 2
[1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,3,5,7,2,4,6] => [1,2,3,5,4,7,6] => [1,2,3,5,4,7,6] => 2
[1,0,1,1,0,1,1,1,0,0,0,0,1,0] => [1,3,6,2,4,5,7] => [1,2,3,6,5,4,7] => [1,2,3,6,5,4,7] => 2
[1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [1,3,6,2,4,7,5] => [1,2,3,6,7,5,4] => [1,2,3,7,6,5,4] => 2
[1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [1,3,6,2,7,4,5] => [1,2,3,6,4,5,7] => [1,2,3,6,5,4,7] => 2
[1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [1,3,6,7,2,4,5] => [1,2,3,6,4,7,5] => [1,2,3,7,5,6,4] => 2
[1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [1,3,7,2,4,5,6] => [1,2,3,7,6,5,4] => [1,2,3,7,6,5,4] => 2
[1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [1,4,2,3,5,6,7] => [1,2,4,3,5,6,7] => [1,2,4,3,5,6,7] => 2
[1,0,1,1,1,0,0,0,1,0,1,1,0,0] => [1,4,2,3,5,7,6] => [1,2,4,3,5,6,7] => [1,2,4,3,5,6,7] => 2
[1,0,1,1,1,0,0,0,1,1,0,0,1,0] => [1,4,2,3,6,5,7] => [1,2,4,3,5,6,7] => [1,2,4,3,5,6,7] => 2
[1,0,1,1,1,0,0,0,1,1,0,1,0,0] => [1,4,2,3,6,7,5] => [1,2,4,3,5,6,7] => [1,2,4,3,5,6,7] => 2
[1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,4,2,3,7,5,6] => [1,2,4,3,5,7,6] => [1,2,4,3,5,7,6] => 2
[1,0,1,1,1,0,0,1,0,0,1,0,1,0] => [1,4,2,5,3,6,7] => [1,2,4,5,3,6,7] => [1,2,5,4,3,6,7] => 2
[1,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,4,2,5,3,7,6] => [1,2,4,5,3,6,7] => [1,2,5,4,3,6,7] => 2
[1,0,1,1,1,0,0,1,0,1,0,0,1,0] => [1,4,2,5,6,3,7] => [1,2,4,5,6,3,7] => [1,2,6,4,5,3,7] => 2
[1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [1,4,2,5,6,7,3] => [1,2,4,5,6,7,3] => [1,2,7,4,5,6,3] => 2
[1,0,1,1,1,0,0,1,0,1,1,0,0,0] => [1,4,2,5,7,3,6] => [1,2,4,5,7,6,3] => [1,2,7,4,6,5,3] => 2
[1,0,1,1,1,0,0,1,1,0,0,0,1,0] => [1,4,2,6,3,5,7] => [1,2,4,6,5,3,7] => [1,2,6,5,4,3,7] => 2
[1,0,1,1,1,0,0,1,1,0,0,1,0,0] => [1,4,2,6,3,7,5] => [1,2,4,6,7,5,3] => [1,2,7,6,5,4,3] => 2
[1,0,1,1,1,0,0,1,1,0,1,0,0,0] => [1,4,2,6,7,3,5] => [1,2,4,6,3,5,7] => [1,2,5,6,3,4,7] => 2
[1,0,1,1,1,0,0,1,1,1,0,0,0,0] => [1,4,2,7,3,5,6] => [1,2,4,7,6,5,3] => [1,2,7,6,5,4,3] => 2
[1,0,1,1,1,0,1,0,0,0,1,0,1,0] => [1,4,5,2,3,6,7] => [1,2,4,3,5,6,7] => [1,2,4,3,5,6,7] => 2
[1,0,1,1,1,0,1,0,0,0,1,1,0,0] => [1,4,5,2,3,7,6] => [1,2,4,3,5,6,7] => [1,2,4,3,5,6,7] => 2
[1,0,1,1,1,0,1,0,0,1,0,0,1,0] => [1,4,5,2,6,3,7] => [1,2,4,3,5,6,7] => [1,2,4,3,5,6,7] => 2
[1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [1,4,5,2,6,7,3] => [1,2,4,3,5,6,7] => [1,2,4,3,5,6,7] => 2
[1,0,1,1,1,0,1,0,0,1,1,0,0,0] => [1,4,5,2,7,3,6] => [1,2,4,3,5,7,6] => [1,2,4,3,5,7,6] => 2
[1,0,1,1,1,0,1,0,1,0,0,0,1,0] => [1,4,5,6,2,3,7] => [1,2,4,6,3,5,7] => [1,2,5,6,3,4,7] => 2
[1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [1,4,5,6,2,7,3] => [1,2,4,6,7,3,5] => [1,2,6,7,5,3,4] => 2
[1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,4,5,6,7,2,3] => [1,2,4,6,3,5,7] => [1,2,5,6,3,4,7] => 2
[1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [1,4,5,7,2,3,6] => [1,2,4,7,6,3,5] => [1,2,6,7,5,3,4] => 2
[1,0,1,1,1,0,1,1,0,0,0,0,1,0] => [1,4,6,2,3,5,7] => [1,2,4,3,6,5,7] => [1,2,4,3,6,5,7] => 2
[1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [1,4,6,2,3,7,5] => [1,2,4,3,6,7,5] => [1,2,4,3,7,6,5] => 2
[1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [1,4,6,2,7,3,5] => [1,2,4,3,6,5,7] => [1,2,4,3,6,5,7] => 2
[1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [1,4,6,7,2,3,5] => [1,2,4,7,5,3,6] => [1,2,6,7,5,3,4] => 2
[1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [1,4,7,2,3,5,6] => [1,2,4,3,7,6,5] => [1,2,4,3,7,6,5] => 2
[1,0,1,1,1,1,0,0,0,0,1,0,1,0] => [1,5,2,3,4,6,7] => [1,2,5,4,3,6,7] => [1,2,5,4,3,6,7] => 2
[1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [1,5,2,3,4,7,6] => [1,2,5,4,3,6,7] => [1,2,5,4,3,6,7] => 2
[1,0,1,1,1,1,0,0,0,1,0,0,1,0] => [1,5,2,3,6,4,7] => [1,2,5,6,4,3,7] => [1,2,6,5,4,3,7] => 2
[1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [1,5,2,3,6,7,4] => [1,2,5,6,7,4,3] => [1,2,7,6,5,4,3] => 2
[1,0,1,1,1,1,0,0,0,1,1,0,0,0] => [1,5,2,3,7,4,6] => [1,2,5,7,6,4,3] => [1,2,7,6,5,4,3] => 2
[1,0,1,1,1,1,0,0,1,0,0,0,1,0] => [1,5,2,6,3,4,7] => [1,2,5,3,4,6,7] => [1,2,5,4,3,6,7] => 2
[1,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,5,2,6,3,7,4] => [1,2,5,3,4,6,7] => [1,2,5,4,3,6,7] => 2
[1,0,1,1,1,1,0,0,1,0,1,0,0,0] => [1,5,2,6,7,3,4] => [1,2,5,7,4,6,3] => [1,2,7,6,5,4,3] => 2
[1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [1,5,2,7,3,4,6] => [1,2,5,3,4,7,6] => [1,2,5,4,3,7,6] => 2
[1,0,1,1,1,1,0,1,0,0,0,0,1,0] => [1,5,6,2,3,4,7] => [1,2,5,3,6,4,7] => [1,2,6,4,5,3,7] => 2
[1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [1,5,6,2,3,7,4] => [1,2,5,3,6,7,4] => [1,2,7,4,5,6,3] => 2
[1,0,1,1,1,1,0,1,0,0,1,0,0,0] => [1,5,6,2,7,3,4] => [1,2,5,7,4,3,6] => [1,2,6,7,5,3,4] => 2
[1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [1,5,6,7,2,3,4] => [1,2,5,3,6,4,7] => [1,2,6,4,5,3,7] => 2
[1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [1,5,7,2,3,4,6] => [1,2,5,3,7,6,4] => [1,2,7,4,6,5,3] => 2
[1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,6,2,3,4,5,7] => [1,2,6,5,4,3,7] => [1,2,6,5,4,3,7] => 2
[1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [1,6,2,3,4,7,5] => [1,2,6,7,5,4,3] => [1,2,7,6,5,4,3] => 2
[1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [1,6,2,3,7,4,5] => [1,2,6,4,3,5,7] => [1,2,6,5,4,3,7] => 2
[1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [1,6,2,7,3,4,5] => [1,2,6,4,7,5,3] => [1,2,7,6,5,4,3] => 2
[1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,6,7,2,3,4,5] => [1,2,6,4,3,7,5] => [1,2,7,5,4,6,3] => 2
[1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,7,2,3,4,5,6] => [1,2,7,6,5,4,3] => [1,2,7,6,5,4,3] => 2
[1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [2,1,3,4,5,6,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 1
[1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [2,1,3,4,5,7,6] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 1
[1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [2,1,3,4,6,5,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 1
[1,1,0,0,1,0,1,0,1,1,0,1,0,0] => [2,1,3,4,6,7,5] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 1
[1,1,0,0,1,0,1,0,1,1,1,0,0,0] => [2,1,3,4,7,5,6] => [1,2,3,4,5,7,6] => [1,2,3,4,5,7,6] => 2
[1,1,0,0,1,0,1,1,0,0,1,0,1,0] => [2,1,3,5,4,6,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 1
[1,1,0,0,1,0,1,1,0,0,1,1,0,0] => [2,1,3,5,4,7,6] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 1
[1,1,0,0,1,0,1,1,0,1,0,0,1,0] => [2,1,3,5,6,4,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 1
[1,1,0,0,1,0,1,1,0,1,0,1,0,0] => [2,1,3,5,6,7,4] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 1
[1,1,0,0,1,0,1,1,0,1,1,0,0,0] => [2,1,3,5,7,4,6] => [1,2,3,4,5,7,6] => [1,2,3,4,5,7,6] => 2
[1,1,0,0,1,0,1,1,1,0,0,0,1,0] => [2,1,3,6,4,5,7] => [1,2,3,4,6,5,7] => [1,2,3,4,6,5,7] => 2
[1,1,0,0,1,0,1,1,1,0,0,1,0,0] => [2,1,3,6,4,7,5] => [1,2,3,4,6,7,5] => [1,2,3,4,7,6,5] => 2
[1,1,0,0,1,0,1,1,1,0,1,0,0,0] => [2,1,3,6,7,4,5] => [1,2,3,4,6,5,7] => [1,2,3,4,6,5,7] => 2
[1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [2,1,3,7,4,5,6] => [1,2,3,4,7,6,5] => [1,2,3,4,7,6,5] => 2
[1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [2,1,4,3,5,6,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 1
[1,1,0,0,1,1,0,0,1,0,1,1,0,0] => [2,1,4,3,5,7,6] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 1
[1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [2,1,4,3,6,5,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 1
[1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [2,1,4,3,6,7,5] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 1
[1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [2,1,4,3,7,5,6] => [1,2,3,4,5,7,6] => [1,2,3,4,5,7,6] => 2
[1,1,0,0,1,1,0,1,0,0,1,0,1,0] => [2,1,4,5,3,6,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 1
[1,1,0,0,1,1,0,1,0,0,1,1,0,0] => [2,1,4,5,3,7,6] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 1
[1,1,0,0,1,1,0,1,0,1,0,0,1,0] => [2,1,4,5,6,3,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 1
[1,1,0,0,1,1,0,1,0,1,0,1,0,0] => [2,1,4,5,6,7,3] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 1
[1,1,0,0,1,1,0,1,0,1,1,0,0,0] => [2,1,4,5,7,3,6] => [1,2,3,4,5,7,6] => [1,2,3,4,5,7,6] => 2
[1,1,0,0,1,1,0,1,1,0,0,0,1,0] => [2,1,4,6,3,5,7] => [1,2,3,4,6,5,7] => [1,2,3,4,6,5,7] => 2
[1,1,0,0,1,1,0,1,1,0,0,1,0,0] => [2,1,4,6,3,7,5] => [1,2,3,4,6,7,5] => [1,2,3,4,7,6,5] => 2
[1,1,0,0,1,1,0,1,1,0,1,0,0,0] => [2,1,4,6,7,3,5] => [1,2,3,4,6,5,7] => [1,2,3,4,6,5,7] => 2
[1,1,0,0,1,1,0,1,1,1,0,0,0,0] => [2,1,4,7,3,5,6] => [1,2,3,4,7,6,5] => [1,2,3,4,7,6,5] => 2
[1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [2,1,5,3,4,6,7] => [1,2,3,5,4,6,7] => [1,2,3,5,4,6,7] => 2
[1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [2,1,5,3,4,7,6] => [1,2,3,5,4,6,7] => [1,2,3,5,4,6,7] => 2
[1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [2,1,5,3,6,4,7] => [1,2,3,5,6,4,7] => [1,2,3,6,5,4,7] => 2
[1,1,0,0,1,1,1,0,0,1,0,1,0,0] => [2,1,5,3,6,7,4] => [1,2,3,5,6,7,4] => [1,2,3,7,5,6,4] => 2
[1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [2,1,5,3,7,4,6] => [1,2,3,5,7,6,4] => [1,2,3,7,6,5,4] => 2
[1,1,0,0,1,1,1,0,1,0,0,0,1,0] => [2,1,5,6,3,4,7] => [1,2,3,5,4,6,7] => [1,2,3,5,4,6,7] => 2
[1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [2,1,5,6,3,7,4] => [1,2,3,5,4,6,7] => [1,2,3,5,4,6,7] => 2
[1,1,0,0,1,1,1,0,1,0,1,0,0,0] => [2,1,5,6,7,3,4] => [1,2,3,5,7,4,6] => [1,2,3,6,7,4,5] => 2
[1,1,0,0,1,1,1,0,1,1,0,0,0,0] => [2,1,5,7,3,4,6] => [1,2,3,5,4,7,6] => [1,2,3,5,4,7,6] => 2
[1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [2,1,6,3,4,5,7] => [1,2,3,6,5,4,7] => [1,2,3,6,5,4,7] => 2
[1,1,0,0,1,1,1,1,0,0,0,1,0,0] => [2,1,6,3,4,7,5] => [1,2,3,6,7,5,4] => [1,2,3,7,6,5,4] => 2
[1,1,0,0,1,1,1,1,0,0,1,0,0,0] => [2,1,6,3,7,4,5] => [1,2,3,6,4,5,7] => [1,2,3,6,5,4,7] => 2
[1,1,0,0,1,1,1,1,0,1,0,0,0,0] => [2,1,6,7,3,4,5] => [1,2,3,6,4,7,5] => [1,2,3,7,5,6,4] => 2
[1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [2,1,7,3,4,5,6] => [1,2,3,7,6,5,4] => [1,2,3,7,6,5,4] => 2
[1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [2,3,1,4,5,6,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 1
[1,1,0,1,0,0,1,0,1,0,1,1,0,0] => [2,3,1,4,5,7,6] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 1
[1,1,0,1,0,0,1,0,1,1,0,0,1,0] => [2,3,1,4,6,5,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 1
[1,1,0,1,0,0,1,0,1,1,0,1,0,0] => [2,3,1,4,6,7,5] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 1
[1,1,0,1,0,0,1,0,1,1,1,0,0,0] => [2,3,1,4,7,5,6] => [1,2,3,4,5,7,6] => [1,2,3,4,5,7,6] => 2
[1,1,0,1,0,0,1,1,0,0,1,0,1,0] => [2,3,1,5,4,6,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 1
[1,1,0,1,0,0,1,1,0,0,1,1,0,0] => [2,3,1,5,4,7,6] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 1
[1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [2,3,1,5,6,4,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 1
[1,1,0,1,0,0,1,1,0,1,0,1,0,0] => [2,3,1,5,6,7,4] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 1
[1,1,0,1,0,0,1,1,0,1,1,0,0,0] => [2,3,1,5,7,4,6] => [1,2,3,4,5,7,6] => [1,2,3,4,5,7,6] => 2
[1,1,0,1,0,0,1,1,1,0,0,0,1,0] => [2,3,1,6,4,5,7] => [1,2,3,4,6,5,7] => [1,2,3,4,6,5,7] => 2
[1,1,0,1,0,0,1,1,1,0,0,1,0,0] => [2,3,1,6,4,7,5] => [1,2,3,4,6,7,5] => [1,2,3,4,7,6,5] => 2
[1,1,0,1,0,0,1,1,1,0,1,0,0,0] => [2,3,1,6,7,4,5] => [1,2,3,4,6,5,7] => [1,2,3,4,6,5,7] => 2
[1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [2,3,1,7,4,5,6] => [1,2,3,4,7,6,5] => [1,2,3,4,7,6,5] => 2
[1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [2,3,4,1,5,6,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 1
[1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [2,3,4,1,5,7,6] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 1
[1,1,0,1,0,1,0,0,1,1,0,0,1,0] => [2,3,4,1,6,5,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 1
[1,1,0,1,0,1,0,0,1,1,0,1,0,0] => [2,3,4,1,6,7,5] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 1
[1,1,0,1,0,1,0,0,1,1,1,0,0,0] => [2,3,4,1,7,5,6] => [1,2,3,4,5,7,6] => [1,2,3,4,5,7,6] => 2
[1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [2,3,4,5,1,6,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 1
[1,1,0,1,0,1,0,1,0,0,1,1,0,0] => [2,3,4,5,1,7,6] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 1
[1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [2,3,4,5,6,1,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 1
[1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [2,3,4,5,6,7,1] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 1
[1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [2,3,4,5,7,1,6] => [1,2,3,4,5,7,6] => [1,2,3,4,5,7,6] => 2
[1,1,0,1,0,1,0,1,1,0,0,0,1,0] => [2,3,4,6,1,5,7] => [1,2,3,4,6,5,7] => [1,2,3,4,6,5,7] => 2
[1,1,0,1,0,1,0,1,1,0,0,1,0,0] => [2,3,4,6,1,7,5] => [1,2,3,4,6,7,5] => [1,2,3,4,7,6,5] => 2
[1,1,0,1,0,1,0,1,1,0,1,0,0,0] => [2,3,4,6,7,1,5] => [1,2,3,4,6,5,7] => [1,2,3,4,6,5,7] => 2
[1,1,0,1,0,1,0,1,1,1,0,0,0,0] => [2,3,4,7,1,5,6] => [1,2,3,4,7,6,5] => [1,2,3,4,7,6,5] => 2
[1,1,0,1,0,1,1,0,0,0,1,0,1,0] => [2,3,5,1,4,6,7] => [1,2,3,5,4,6,7] => [1,2,3,5,4,6,7] => 2
[1,1,0,1,0,1,1,0,0,0,1,1,0,0] => [2,3,5,1,4,7,6] => [1,2,3,5,4,6,7] => [1,2,3,5,4,6,7] => 2
[1,1,0,1,0,1,1,0,0,1,0,0,1,0] => [2,3,5,1,6,4,7] => [1,2,3,5,6,4,7] => [1,2,3,6,5,4,7] => 2
[1,1,0,1,0,1,1,0,0,1,0,1,0,0] => [2,3,5,1,6,7,4] => [1,2,3,5,6,7,4] => [1,2,3,7,5,6,4] => 2
[1,1,0,1,0,1,1,0,0,1,1,0,0,0] => [2,3,5,1,7,4,6] => [1,2,3,5,7,6,4] => [1,2,3,7,6,5,4] => 2
[1,1,0,1,0,1,1,0,1,0,0,0,1,0] => [2,3,5,6,1,4,7] => [1,2,3,5,4,6,7] => [1,2,3,5,4,6,7] => 2
[1,1,0,1,0,1,1,0,1,0,0,1,0,0] => [2,3,5,6,1,7,4] => [1,2,3,5,4,6,7] => [1,2,3,5,4,6,7] => 2
[1,1,0,1,0,1,1,0,1,0,1,0,0,0] => [2,3,5,6,7,1,4] => [1,2,3,5,7,4,6] => [1,2,3,6,7,4,5] => 2
[1,1,0,1,0,1,1,0,1,1,0,0,0,0] => [2,3,5,7,1,4,6] => [1,2,3,5,4,7,6] => [1,2,3,5,4,7,6] => 2
[1,1,0,1,0,1,1,1,0,0,0,0,1,0] => [2,3,6,1,4,5,7] => [1,2,3,6,5,4,7] => [1,2,3,6,5,4,7] => 2
[1,1,0,1,0,1,1,1,0,0,0,1,0,0] => [2,3,6,1,4,7,5] => [1,2,3,6,7,5,4] => [1,2,3,7,6,5,4] => 2
[1,1,0,1,0,1,1,1,0,0,1,0,0,0] => [2,3,6,1,7,4,5] => [1,2,3,6,4,5,7] => [1,2,3,6,5,4,7] => 2
[1,1,0,1,0,1,1,1,0,1,0,0,0,0] => [2,3,6,7,1,4,5] => [1,2,3,6,4,7,5] => [1,2,3,7,5,6,4] => 2
[1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [2,3,7,1,4,5,6] => [1,2,3,7,6,5,4] => [1,2,3,7,6,5,4] => 2
[1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [2,4,1,3,5,6,7] => [1,2,4,3,5,6,7] => [1,2,4,3,5,6,7] => 2
[1,1,0,1,1,0,0,0,1,0,1,1,0,0] => [2,4,1,3,5,7,6] => [1,2,4,3,5,6,7] => [1,2,4,3,5,6,7] => 2
[1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [2,4,1,3,6,5,7] => [1,2,4,3,5,6,7] => [1,2,4,3,5,6,7] => 2
[1,1,0,1,1,0,0,0,1,1,0,1,0,0] => [2,4,1,3,6,7,5] => [1,2,4,3,5,6,7] => [1,2,4,3,5,6,7] => 2
[1,1,0,1,1,0,0,0,1,1,1,0,0,0] => [2,4,1,3,7,5,6] => [1,2,4,3,5,7,6] => [1,2,4,3,5,7,6] => 2
[1,1,0,1,1,0,0,1,0,0,1,0,1,0] => [2,4,1,5,3,6,7] => [1,2,4,5,3,6,7] => [1,2,5,4,3,6,7] => 2
[1,1,0,1,1,0,0,1,0,0,1,1,0,0] => [2,4,1,5,3,7,6] => [1,2,4,5,3,6,7] => [1,2,5,4,3,6,7] => 2
[1,1,0,1,1,0,0,1,0,1,0,0,1,0] => [2,4,1,5,6,3,7] => [1,2,4,5,6,3,7] => [1,2,6,4,5,3,7] => 2
[1,1,0,1,1,0,0,1,0,1,0,1,0,0] => [2,4,1,5,6,7,3] => [1,2,4,5,6,7,3] => [1,2,7,4,5,6,3] => 2
[1,1,0,1,1,0,0,1,0,1,1,0,0,0] => [2,4,1,5,7,3,6] => [1,2,4,5,7,6,3] => [1,2,7,4,6,5,3] => 2
[1,1,0,1,1,0,0,1,1,0,0,0,1,0] => [2,4,1,6,3,5,7] => [1,2,4,6,5,3,7] => [1,2,6,5,4,3,7] => 2
[1,1,0,1,1,0,0,1,1,0,0,1,0,0] => [2,4,1,6,3,7,5] => [1,2,4,6,7,5,3] => [1,2,7,6,5,4,3] => 2
[1,1,0,1,1,0,0,1,1,0,1,0,0,0] => [2,4,1,6,7,3,5] => [1,2,4,6,3,5,7] => [1,2,5,6,3,4,7] => 2
[1,1,0,1,1,0,0,1,1,1,0,0,0,0] => [2,4,1,7,3,5,6] => [1,2,4,7,6,5,3] => [1,2,7,6,5,4,3] => 2
[1,1,0,1,1,0,1,0,0,0,1,0,1,0] => [2,4,5,1,3,6,7] => [1,2,4,3,5,6,7] => [1,2,4,3,5,6,7] => 2
[1,1,0,1,1,0,1,0,0,0,1,1,0,0] => [2,4,5,1,3,7,6] => [1,2,4,3,5,6,7] => [1,2,4,3,5,6,7] => 2
[1,1,0,1,1,0,1,0,0,1,0,0,1,0] => [2,4,5,1,6,3,7] => [1,2,4,3,5,6,7] => [1,2,4,3,5,6,7] => 2
[1,1,0,1,1,0,1,0,0,1,0,1,0,0] => [2,4,5,1,6,7,3] => [1,2,4,3,5,6,7] => [1,2,4,3,5,6,7] => 2
[1,1,0,1,1,0,1,0,0,1,1,0,0,0] => [2,4,5,1,7,3,6] => [1,2,4,3,5,7,6] => [1,2,4,3,5,7,6] => 2
[1,1,0,1,1,0,1,0,1,0,0,0,1,0] => [2,4,5,6,1,3,7] => [1,2,4,6,3,5,7] => [1,2,5,6,3,4,7] => 2
[1,1,0,1,1,0,1,0,1,0,0,1,0,0] => [2,4,5,6,1,7,3] => [1,2,4,6,7,3,5] => [1,2,6,7,5,3,4] => 2
[1,1,0,1,1,0,1,0,1,0,1,0,0,0] => [2,4,5,6,7,1,3] => [1,2,4,6,3,5,7] => [1,2,5,6,3,4,7] => 2
[1,1,0,1,1,0,1,0,1,1,0,0,0,0] => [2,4,5,7,1,3,6] => [1,2,4,7,6,3,5] => [1,2,6,7,5,3,4] => 2
[1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [2,4,6,1,3,5,7] => [1,2,4,3,6,5,7] => [1,2,4,3,6,5,7] => 2
[1,1,0,1,1,0,1,1,0,0,0,1,0,0] => [2,4,6,1,3,7,5] => [1,2,4,3,6,7,5] => [1,2,4,3,7,6,5] => 2
[1,1,0,1,1,0,1,1,0,0,1,0,0,0] => [2,4,6,1,7,3,5] => [1,2,4,3,6,5,7] => [1,2,4,3,6,5,7] => 2
[1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [2,4,6,7,1,3,5] => [1,2,4,7,5,3,6] => [1,2,6,7,5,3,4] => 2
[1,1,0,1,1,0,1,1,1,0,0,0,0,0] => [2,4,7,1,3,5,6] => [1,2,4,3,7,6,5] => [1,2,4,3,7,6,5] => 2
[1,1,0,1,1,1,0,0,0,0,1,0,1,0] => [2,5,1,3,4,6,7] => [1,2,5,4,3,6,7] => [1,2,5,4,3,6,7] => 2
[1,1,0,1,1,1,0,0,0,0,1,1,0,0] => [2,5,1,3,4,7,6] => [1,2,5,4,3,6,7] => [1,2,5,4,3,6,7] => 2
[1,1,0,1,1,1,0,0,0,1,0,0,1,0] => [2,5,1,3,6,4,7] => [1,2,5,6,4,3,7] => [1,2,6,5,4,3,7] => 2
[1,1,0,1,1,1,0,0,0,1,0,1,0,0] => [2,5,1,3,6,7,4] => [1,2,5,6,7,4,3] => [1,2,7,6,5,4,3] => 2
[1,1,0,1,1,1,0,0,0,1,1,0,0,0] => [2,5,1,3,7,4,6] => [1,2,5,7,6,4,3] => [1,2,7,6,5,4,3] => 2
[1,1,0,1,1,1,0,0,1,0,0,0,1,0] => [2,5,1,6,3,4,7] => [1,2,5,3,4,6,7] => [1,2,5,4,3,6,7] => 2
[1,1,0,1,1,1,0,0,1,0,0,1,0,0] => [2,5,1,6,3,7,4] => [1,2,5,3,4,6,7] => [1,2,5,4,3,6,7] => 2
[1,1,0,1,1,1,0,0,1,0,1,0,0,0] => [2,5,1,6,7,3,4] => [1,2,5,7,4,6,3] => [1,2,7,6,5,4,3] => 2
[1,1,0,1,1,1,0,0,1,1,0,0,0,0] => [2,5,1,7,3,4,6] => [1,2,5,3,4,7,6] => [1,2,5,4,3,7,6] => 2
[1,1,0,1,1,1,0,1,0,0,0,0,1,0] => [2,5,6,1,3,4,7] => [1,2,5,3,6,4,7] => [1,2,6,4,5,3,7] => 2
[1,1,0,1,1,1,0,1,0,0,0,1,0,0] => [2,5,6,1,3,7,4] => [1,2,5,3,6,7,4] => [1,2,7,4,5,6,3] => 2
[1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [2,5,6,1,7,3,4] => [1,2,5,7,4,3,6] => [1,2,6,7,5,3,4] => 2
[1,1,0,1,1,1,0,1,0,1,0,0,0,0] => [2,5,6,7,1,3,4] => [1,2,5,3,6,4,7] => [1,2,6,4,5,3,7] => 2
[1,1,0,1,1,1,0,1,1,0,0,0,0,0] => [2,5,7,1,3,4,6] => [1,2,5,3,7,6,4] => [1,2,7,4,6,5,3] => 2
[1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [2,6,1,3,4,5,7] => [1,2,6,5,4,3,7] => [1,2,6,5,4,3,7] => 2
[1,1,0,1,1,1,1,0,0,0,0,1,0,0] => [2,6,1,3,4,7,5] => [1,2,6,7,5,4,3] => [1,2,7,6,5,4,3] => 2
[1,1,0,1,1,1,1,0,0,0,1,0,0,0] => [2,6,1,3,7,4,5] => [1,2,6,4,3,5,7] => [1,2,6,5,4,3,7] => 2
[1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [2,6,1,7,3,4,5] => [1,2,6,4,7,5,3] => [1,2,7,6,5,4,3] => 2
[1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [2,6,7,1,3,4,5] => [1,2,6,4,3,7,5] => [1,2,7,5,4,6,3] => 2
[1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [2,7,1,3,4,5,6] => [1,2,7,6,5,4,3] => [1,2,7,6,5,4,3] => 2
[1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [3,1,2,4,5,6,7] => [1,3,2,4,5,6,7] => [1,3,2,4,5,6,7] => 2
[1,1,1,0,0,0,1,0,1,0,1,1,0,0] => [3,1,2,4,5,7,6] => [1,3,2,4,5,6,7] => [1,3,2,4,5,6,7] => 2
[1,1,1,0,0,0,1,0,1,1,0,0,1,0] => [3,1,2,4,6,5,7] => [1,3,2,4,5,6,7] => [1,3,2,4,5,6,7] => 2
[1,1,1,0,0,0,1,0,1,1,0,1,0,0] => [3,1,2,4,6,7,5] => [1,3,2,4,5,6,7] => [1,3,2,4,5,6,7] => 2
[1,1,1,0,0,0,1,0,1,1,1,0,0,0] => [3,1,2,4,7,5,6] => [1,3,2,4,5,7,6] => [1,3,2,4,5,7,6] => 2
[1,1,1,0,0,0,1,1,0,0,1,0,1,0] => [3,1,2,5,4,6,7] => [1,3,2,4,5,6,7] => [1,3,2,4,5,6,7] => 2
[1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [3,1,2,5,4,7,6] => [1,3,2,4,5,6,7] => [1,3,2,4,5,6,7] => 2
[1,1,1,0,0,0,1,1,0,1,0,0,1,0] => [3,1,2,5,6,4,7] => [1,3,2,4,5,6,7] => [1,3,2,4,5,6,7] => 2
[1,1,1,0,0,0,1,1,0,1,0,1,0,0] => [3,1,2,5,6,7,4] => [1,3,2,4,5,6,7] => [1,3,2,4,5,6,7] => 2
[1,1,1,0,0,0,1,1,0,1,1,0,0,0] => [3,1,2,5,7,4,6] => [1,3,2,4,5,7,6] => [1,3,2,4,5,7,6] => 2
[1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [3,1,2,6,4,5,7] => [1,3,2,4,6,5,7] => [1,3,2,4,6,5,7] => 2
[1,1,1,0,0,0,1,1,1,0,0,1,0,0] => [3,1,2,6,4,7,5] => [1,3,2,4,6,7,5] => [1,3,2,4,7,6,5] => 2
[1,1,1,0,0,0,1,1,1,0,1,0,0,0] => [3,1,2,6,7,4,5] => [1,3,2,4,6,5,7] => [1,3,2,4,6,5,7] => 2
[1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [3,1,2,7,4,5,6] => [1,3,2,4,7,6,5] => [1,3,2,4,7,6,5] => 2
[1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [3,1,4,2,5,6,7] => [1,3,4,2,5,6,7] => [1,4,3,2,5,6,7] => 2
[1,1,1,0,0,1,0,0,1,0,1,1,0,0] => [3,1,4,2,5,7,6] => [1,3,4,2,5,6,7] => [1,4,3,2,5,6,7] => 2
[1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [3,1,4,2,6,5,7] => [1,3,4,2,5,6,7] => [1,4,3,2,5,6,7] => 2
[1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [3,1,4,2,6,7,5] => [1,3,4,2,5,6,7] => [1,4,3,2,5,6,7] => 2
[1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [3,1,4,2,7,5,6] => [1,3,4,2,5,7,6] => [1,4,3,2,5,7,6] => 2
[1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [3,1,5,6,2,4,7] => [1,3,5,2,4,6,7] => [1,4,5,2,3,6,7] => 2
[1,1,1,0,0,1,1,0,1,0,0,1,0,0] => [3,1,5,6,2,7,4] => [1,3,5,2,4,6,7] => [1,4,5,2,3,6,7] => 2
[1,1,1,0,0,1,1,0,1,1,0,0,0,0] => [3,1,5,7,2,4,6] => [1,3,5,2,4,7,6] => [1,4,5,2,3,7,6] => 2
[1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [3,4,1,2,5,6,7] => [1,3,2,4,5,6,7] => [1,3,2,4,5,6,7] => 2
[1,1,1,0,1,0,0,0,1,0,1,1,0,0] => [3,4,1,2,5,7,6] => [1,3,2,4,5,6,7] => [1,3,2,4,5,6,7] => 2
[1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [3,4,1,2,6,5,7] => [1,3,2,4,5,6,7] => [1,3,2,4,5,6,7] => 2
[1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [3,4,1,2,6,7,5] => [1,3,2,4,5,6,7] => [1,3,2,4,5,6,7] => 2
[1,1,1,0,1,0,0,0,1,1,1,0,0,0] => [3,4,1,2,7,5,6] => [1,3,2,4,5,7,6] => [1,3,2,4,5,7,6] => 2
[1,1,1,0,1,0,0,1,0,0,1,0,1,0] => [3,4,1,5,2,6,7] => [1,3,2,4,5,6,7] => [1,3,2,4,5,6,7] => 2
[1,1,1,0,1,0,0,1,0,0,1,1,0,0] => [3,4,1,5,2,7,6] => [1,3,2,4,5,6,7] => [1,3,2,4,5,6,7] => 2
[1,1,1,0,1,0,0,1,0,1,0,0,1,0] => [3,4,1,5,6,2,7] => [1,3,2,4,5,6,7] => [1,3,2,4,5,6,7] => 2
[1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [3,4,1,5,6,7,2] => [1,3,2,4,5,6,7] => [1,3,2,4,5,6,7] => 2
[1,1,1,0,1,0,0,1,0,1,1,0,0,0] => [3,4,1,5,7,2,6] => [1,3,2,4,5,7,6] => [1,3,2,4,5,7,6] => 2
[1,1,1,0,1,0,0,1,1,0,0,0,1,0] => [3,4,1,6,2,5,7] => [1,3,2,4,6,5,7] => [1,3,2,4,6,5,7] => 2
[1,1,1,0,1,0,0,1,1,0,0,1,0,0] => [3,4,1,6,2,7,5] => [1,3,2,4,6,7,5] => [1,3,2,4,7,6,5] => 2
[1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [3,4,1,6,7,2,5] => [1,3,2,4,6,5,7] => [1,3,2,4,6,5,7] => 2
[1,1,1,0,1,0,0,1,1,1,0,0,0,0] => [3,4,1,7,2,5,6] => [1,3,2,4,7,6,5] => [1,3,2,4,7,6,5] => 2
[1,1,1,0,1,0,1,0,0,0,1,0,1,0] => [3,4,5,1,2,6,7] => [1,3,5,2,4,6,7] => [1,4,5,2,3,6,7] => 2
[1,1,1,0,1,0,1,0,0,0,1,1,0,0] => [3,4,5,1,2,7,6] => [1,3,5,2,4,6,7] => [1,4,5,2,3,6,7] => 2
[1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [3,4,5,6,1,2,7] => [1,3,5,2,4,6,7] => [1,4,5,2,3,6,7] => 2
[1,1,1,0,1,0,1,0,1,0,0,1,0,0] => [3,4,5,6,1,7,2] => [1,3,5,2,4,6,7] => [1,4,5,2,3,6,7] => 2
[1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [3,4,5,7,1,2,6] => [1,3,5,2,4,7,6] => [1,4,5,2,3,7,6] => 2
[1,1,1,0,1,0,1,1,0,0,1,0,0,0] => [3,4,6,1,7,2,5] => [1,3,6,2,4,5,7] => [1,4,6,2,5,3,7] => 2
[1,1,1,0,1,1,0,0,0,0,1,0,1,0] => [3,5,1,2,4,6,7] => [1,3,2,5,4,6,7] => [1,3,2,5,4,6,7] => 2
[1,1,1,0,1,1,0,0,0,0,1,1,0,0] => [3,5,1,2,4,7,6] => [1,3,2,5,4,6,7] => [1,3,2,5,4,6,7] => 2
[1,1,1,0,1,1,0,0,0,1,0,0,1,0] => [3,5,1,2,6,4,7] => [1,3,2,5,6,4,7] => [1,3,2,6,5,4,7] => 2
[1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [3,5,1,2,6,7,4] => [1,3,2,5,6,7,4] => [1,3,2,7,5,6,4] => 2
[1,1,1,0,1,1,0,0,0,1,1,0,0,0] => [3,5,1,2,7,4,6] => [1,3,2,5,7,6,4] => [1,3,2,7,6,5,4] => 2
[1,1,1,0,1,1,0,0,1,0,0,0,1,0] => [3,5,1,6,2,4,7] => [1,3,2,5,4,6,7] => [1,3,2,5,4,6,7] => 2
[1,1,1,0,1,1,0,0,1,0,0,1,0,0] => [3,5,1,6,2,7,4] => [1,3,2,5,4,6,7] => [1,3,2,5,4,6,7] => 2
[1,1,1,0,1,1,0,0,1,0,1,0,0,0] => [3,5,1,6,7,2,4] => [1,3,2,5,7,4,6] => [1,3,2,6,7,4,5] => 2
[1,1,1,0,1,1,0,0,1,1,0,0,0,0] => [3,5,1,7,2,4,6] => [1,3,2,5,4,7,6] => [1,3,2,5,4,7,6] => 2
[1,1,1,0,1,1,0,1,0,1,0,0,0,0] => [3,5,6,7,1,2,4] => [1,3,6,2,5,4,7] => [1,4,6,2,5,3,7] => 2
[1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [3,6,1,2,4,5,7] => [1,3,2,6,5,4,7] => [1,3,2,6,5,4,7] => 2
[1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [3,6,1,2,4,7,5] => [1,3,2,6,7,5,4] => [1,3,2,7,6,5,4] => 2
[1,1,1,0,1,1,1,0,0,0,1,0,0,0] => [3,6,1,2,7,4,5] => [1,3,2,6,4,5,7] => [1,3,2,6,5,4,7] => 2
[1,1,1,0,1,1,1,0,0,1,0,0,0,0] => [3,6,1,7,2,4,5] => [1,3,2,6,4,7,5] => [1,3,2,7,5,6,4] => 2
[1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [3,7,1,2,4,5,6] => [1,3,2,7,6,5,4] => [1,3,2,7,6,5,4] => 2
[1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [4,1,2,3,5,6,7] => [1,4,3,2,5,6,7] => [1,4,3,2,5,6,7] => 2
[1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [4,1,2,3,5,7,6] => [1,4,3,2,5,6,7] => [1,4,3,2,5,6,7] => 2
[1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [4,1,2,3,6,5,7] => [1,4,3,2,5,6,7] => [1,4,3,2,5,6,7] => 2
[1,1,1,1,0,0,0,0,1,1,0,1,0,0] => [4,1,2,3,6,7,5] => [1,4,3,2,5,6,7] => [1,4,3,2,5,6,7] => 2
[1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [4,1,2,3,7,5,6] => [1,4,3,2,5,7,6] => [1,4,3,2,5,7,6] => 2
[1,1,1,1,0,0,1,0,0,0,1,0,1,0] => [4,1,5,2,3,6,7] => [1,4,2,3,5,6,7] => [1,4,3,2,5,6,7] => 2
[1,1,1,1,0,0,1,0,0,0,1,1,0,0] => [4,1,5,2,3,7,6] => [1,4,2,3,5,6,7] => [1,4,3,2,5,6,7] => 2
[1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [4,1,5,2,6,3,7] => [1,4,2,3,5,6,7] => [1,4,3,2,5,6,7] => 2
[1,1,1,1,0,0,1,0,0,1,0,1,0,0] => [4,1,5,2,6,7,3] => [1,4,2,3,5,6,7] => [1,4,3,2,5,6,7] => 2
[1,1,1,1,0,0,1,0,0,1,1,0,0,0] => [4,1,5,2,7,3,6] => [1,4,2,3,5,7,6] => [1,4,3,2,5,7,6] => 2
[1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [4,1,6,2,3,5,7] => [1,4,2,3,6,5,7] => [1,4,3,2,6,5,7] => 2
[1,1,1,1,0,0,1,1,0,0,0,1,0,0] => [4,1,6,2,3,7,5] => [1,4,2,3,6,7,5] => [1,4,3,2,7,6,5] => 2
[1,1,1,1,0,0,1,1,0,0,1,0,0,0] => [4,1,6,2,7,3,5] => [1,4,2,3,6,5,7] => [1,4,3,2,6,5,7] => 2
[1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [4,1,7,2,3,5,6] => [1,4,2,3,7,6,5] => [1,4,3,2,7,6,5] => 2
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searching the database for the individual values of this statistic
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searching the database for statistics with the same generating function
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Description
The length of the longest cycle of a permutation.
Map
to 321-avoiding permutation (Krattenthaler)
Description
Krattenthaler's bijection to 321-avoiding permutations.
Draw the path of semilength $n$ in an $n\times n$ square matrix, starting at the upper left corner, with right and down steps, and staying below the diagonal. Then the permutation matrix is obtained by placing ones into the cells corresponding to the peaks of the path and placing ones into the remaining columns from left to right, such that the row indices of the cells increase.
Map
cycle-as-one-line notation
Description
Return the permutation obtained by concatenating the cycles of a permutation, each written with minimal element first, sorted by minimal element.
Map
Demazure product with inverse
Description
This map sends a permutation $\pi$ to $\pi^{-1} \star \pi$ where $\star$ denotes the Demazure product on permutations.
This map is a surjection onto the set of involutions, i.e., the set of permutations $\pi$ for which $\pi = \pi^{-1}$.