Identifier
Values
[1,2] => [1,2] => [2,1] => [2,1] => 1
[2,1] => [1,2] => [2,1] => [2,1] => 1
[1,2,3] => [1,2,3] => [3,2,1] => [2,3,1] => 2
[1,3,2] => [1,3,2] => [2,3,1] => [3,2,1] => 1
[2,1,3] => [1,3,2] => [2,3,1] => [3,2,1] => 1
[2,3,1] => [1,2,3] => [3,2,1] => [2,3,1] => 2
[3,1,2] => [1,2,3] => [3,2,1] => [2,3,1] => 2
[3,2,1] => [1,2,3] => [3,2,1] => [2,3,1] => 2
[1,2,3,4] => [1,2,3,4] => [4,3,2,1] => [3,4,1,2] => 4
[1,2,4,3] => [1,2,4,3] => [3,4,2,1] => [4,3,1,2] => 3
[1,3,2,4] => [1,3,2,4] => [4,2,3,1] => [2,3,4,1] => 3
[1,3,4,2] => [1,3,4,2] => [2,4,3,1] => [3,2,4,1] => 2
[1,4,2,3] => [1,4,2,3] => [3,2,4,1] => [2,4,3,1] => 2
[1,4,3,2] => [1,4,2,3] => [3,2,4,1] => [2,4,3,1] => 2
[2,1,3,4] => [1,3,4,2] => [2,4,3,1] => [3,2,4,1] => 2
[2,1,4,3] => [1,4,2,3] => [3,2,4,1] => [2,4,3,1] => 2
[2,3,1,4] => [1,4,2,3] => [3,2,4,1] => [2,4,3,1] => 2
[2,3,4,1] => [1,2,3,4] => [4,3,2,1] => [3,4,1,2] => 4
[2,4,1,3] => [1,3,2,4] => [4,2,3,1] => [2,3,4,1] => 3
[2,4,3,1] => [1,2,4,3] => [3,4,2,1] => [4,3,1,2] => 3
[3,1,2,4] => [1,2,4,3] => [3,4,2,1] => [4,3,1,2] => 3
[3,1,4,2] => [1,4,2,3] => [3,2,4,1] => [2,4,3,1] => 2
[3,2,1,4] => [1,4,2,3] => [3,2,4,1] => [2,4,3,1] => 2
[3,2,4,1] => [1,2,4,3] => [3,4,2,1] => [4,3,1,2] => 3
[3,4,1,2] => [1,2,3,4] => [4,3,2,1] => [3,4,1,2] => 4
[3,4,2,1] => [1,2,3,4] => [4,3,2,1] => [3,4,1,2] => 4
[4,1,2,3] => [1,2,3,4] => [4,3,2,1] => [3,4,1,2] => 4
[4,1,3,2] => [1,3,2,4] => [4,2,3,1] => [2,3,4,1] => 3
[4,2,1,3] => [1,3,2,4] => [4,2,3,1] => [2,3,4,1] => 3
[4,2,3,1] => [1,2,3,4] => [4,3,2,1] => [3,4,1,2] => 4
[4,3,1,2] => [1,2,3,4] => [4,3,2,1] => [3,4,1,2] => 4
[4,3,2,1] => [1,2,3,4] => [4,3,2,1] => [3,4,1,2] => 4
[1,2,3,4,5] => [1,2,3,4,5] => [5,4,3,2,1] => [3,4,5,1,2] => 6
[1,2,3,5,4] => [1,2,3,5,4] => [4,5,3,2,1] => [4,3,5,1,2] => 5
[1,2,4,3,5] => [1,2,4,3,5] => [5,3,4,2,1] => [3,5,4,1,2] => 5
[1,2,4,5,3] => [1,2,4,5,3] => [3,5,4,2,1] => [5,3,4,1,2] => 4
[1,2,5,3,4] => [1,2,5,3,4] => [4,3,5,2,1] => [4,5,3,1,2] => 4
[1,2,5,4,3] => [1,2,5,3,4] => [4,3,5,2,1] => [4,5,3,1,2] => 4
[1,3,2,4,5] => [1,3,2,4,5] => [5,4,2,3,1] => [4,5,1,2,3] => 6
[1,3,2,5,4] => [1,3,2,5,4] => [4,5,2,3,1] => [5,4,1,2,3] => 5
[1,3,4,2,5] => [1,3,4,2,5] => [5,2,4,3,1] => [2,4,5,1,3] => 5
[1,3,4,5,2] => [1,3,4,5,2] => [2,5,4,3,1] => [4,2,5,1,3] => 4
[1,3,5,2,4] => [1,3,5,2,4] => [4,2,5,3,1] => [2,5,4,1,3] => 4
[1,3,5,4,2] => [1,3,5,2,4] => [4,2,5,3,1] => [2,5,4,1,3] => 4
[1,4,2,3,5] => [1,4,2,3,5] => [5,3,2,4,1] => [3,4,1,5,2] => 5
[1,4,2,5,3] => [1,4,2,5,3] => [3,5,2,4,1] => [4,3,1,5,2] => 4
[1,4,3,2,5] => [1,4,2,5,3] => [3,5,2,4,1] => [4,3,1,5,2] => 4
[1,4,3,5,2] => [1,4,2,3,5] => [5,3,2,4,1] => [3,4,1,5,2] => 5
[1,4,5,2,3] => [1,4,5,2,3] => [3,2,5,4,1] => [2,4,3,5,1] => 3
[1,4,5,3,2] => [1,4,5,2,3] => [3,2,5,4,1] => [2,4,3,5,1] => 3
[1,5,2,3,4] => [1,5,2,3,4] => [4,3,2,5,1] => [3,5,1,4,2] => 4
[1,5,2,4,3] => [1,5,2,4,3] => [3,4,2,5,1] => [5,3,1,4,2] => 3
[1,5,3,2,4] => [1,5,2,4,3] => [3,4,2,5,1] => [5,3,1,4,2] => 3
[1,5,3,4,2] => [1,5,2,3,4] => [4,3,2,5,1] => [3,5,1,4,2] => 4
[1,5,4,2,3] => [1,5,2,3,4] => [4,3,2,5,1] => [3,5,1,4,2] => 4
[1,5,4,3,2] => [1,5,2,3,4] => [4,3,2,5,1] => [3,5,1,4,2] => 4
[2,1,3,4,5] => [1,3,4,5,2] => [2,5,4,3,1] => [4,2,5,1,3] => 4
[2,1,3,5,4] => [1,3,5,2,4] => [4,2,5,3,1] => [2,5,4,1,3] => 4
[2,1,4,3,5] => [1,4,2,3,5] => [5,3,2,4,1] => [3,4,1,5,2] => 5
[2,1,4,5,3] => [1,4,5,2,3] => [3,2,5,4,1] => [2,4,3,5,1] => 3
[2,1,5,3,4] => [1,5,2,3,4] => [4,3,2,5,1] => [3,5,1,4,2] => 4
[2,1,5,4,3] => [1,5,2,3,4] => [4,3,2,5,1] => [3,5,1,4,2] => 4
[2,3,1,4,5] => [1,4,5,2,3] => [3,2,5,4,1] => [2,4,3,5,1] => 3
[2,3,1,5,4] => [1,5,2,3,4] => [4,3,2,5,1] => [3,5,1,4,2] => 4
[2,3,4,1,5] => [1,5,2,3,4] => [4,3,2,5,1] => [3,5,1,4,2] => 4
[2,3,4,5,1] => [1,2,3,4,5] => [5,4,3,2,1] => [3,4,5,1,2] => 6
[2,3,5,1,4] => [1,4,2,3,5] => [5,3,2,4,1] => [3,4,1,5,2] => 5
[2,3,5,4,1] => [1,2,3,5,4] => [4,5,3,2,1] => [4,3,5,1,2] => 5
[2,4,1,3,5] => [1,3,5,2,4] => [4,2,5,3,1] => [2,5,4,1,3] => 4
[2,4,1,5,3] => [1,5,2,4,3] => [3,4,2,5,1] => [5,3,1,4,2] => 3
[2,4,3,1,5] => [1,5,2,4,3] => [3,4,2,5,1] => [5,3,1,4,2] => 3
[2,4,3,5,1] => [1,2,4,3,5] => [5,3,4,2,1] => [3,5,4,1,2] => 5
[2,4,5,1,3] => [1,3,2,4,5] => [5,4,2,3,1] => [4,5,1,2,3] => 6
[2,4,5,3,1] => [1,2,4,5,3] => [3,5,4,2,1] => [5,3,4,1,2] => 4
[2,5,1,3,4] => [1,3,4,2,5] => [5,2,4,3,1] => [2,4,5,1,3] => 5
[2,5,1,4,3] => [1,4,2,5,3] => [3,5,2,4,1] => [4,3,1,5,2] => 4
[2,5,3,1,4] => [1,4,2,5,3] => [3,5,2,4,1] => [4,3,1,5,2] => 4
[2,5,3,4,1] => [1,2,5,3,4] => [4,3,5,2,1] => [4,5,3,1,2] => 4
[2,5,4,1,3] => [1,3,2,5,4] => [4,5,2,3,1] => [5,4,1,2,3] => 5
[2,5,4,3,1] => [1,2,5,3,4] => [4,3,5,2,1] => [4,5,3,1,2] => 4
[3,1,2,4,5] => [1,2,4,5,3] => [3,5,4,2,1] => [5,3,4,1,2] => 4
[3,1,2,5,4] => [1,2,5,3,4] => [4,3,5,2,1] => [4,5,3,1,2] => 4
[3,1,4,2,5] => [1,4,2,5,3] => [3,5,2,4,1] => [4,3,1,5,2] => 4
[3,1,4,5,2] => [1,4,5,2,3] => [3,2,5,4,1] => [2,4,3,5,1] => 3
[3,1,5,2,4] => [1,5,2,4,3] => [3,4,2,5,1] => [5,3,1,4,2] => 3
[3,1,5,4,2] => [1,5,2,3,4] => [4,3,2,5,1] => [3,5,1,4,2] => 4
[3,2,1,4,5] => [1,4,5,2,3] => [3,2,5,4,1] => [2,4,3,5,1] => 3
[3,2,1,5,4] => [1,5,2,3,4] => [4,3,2,5,1] => [3,5,1,4,2] => 4
[3,2,4,1,5] => [1,5,2,4,3] => [3,4,2,5,1] => [5,3,1,4,2] => 3
[3,2,4,5,1] => [1,2,4,5,3] => [3,5,4,2,1] => [5,3,4,1,2] => 4
[3,2,5,1,4] => [1,4,2,5,3] => [3,5,2,4,1] => [4,3,1,5,2] => 4
[3,2,5,4,1] => [1,2,5,3,4] => [4,3,5,2,1] => [4,5,3,1,2] => 4
[3,4,1,2,5] => [1,2,5,3,4] => [4,3,5,2,1] => [4,5,3,1,2] => 4
[3,4,1,5,2] => [1,5,2,3,4] => [4,3,2,5,1] => [3,5,1,4,2] => 4
[3,4,2,1,5] => [1,5,2,3,4] => [4,3,2,5,1] => [3,5,1,4,2] => 4
[3,4,2,5,1] => [1,2,5,3,4] => [4,3,5,2,1] => [4,5,3,1,2] => 4
[3,4,5,1,2] => [1,2,3,4,5] => [5,4,3,2,1] => [3,4,5,1,2] => 6
[3,4,5,2,1] => [1,2,3,4,5] => [5,4,3,2,1] => [3,4,5,1,2] => 6
[3,5,1,2,4] => [1,2,4,3,5] => [5,3,4,2,1] => [3,5,4,1,2] => 5
[3,5,1,4,2] => [1,4,2,3,5] => [5,3,2,4,1] => [3,4,1,5,2] => 5
[3,5,2,1,4] => [1,4,2,3,5] => [5,3,2,4,1] => [3,4,1,5,2] => 5
>>> Load all 872 entries. <<<
[3,5,2,4,1] => [1,2,4,3,5] => [5,3,4,2,1] => [3,5,4,1,2] => 5
[3,5,4,1,2] => [1,2,3,5,4] => [4,5,3,2,1] => [4,3,5,1,2] => 5
[3,5,4,2,1] => [1,2,3,5,4] => [4,5,3,2,1] => [4,3,5,1,2] => 5
[4,1,2,3,5] => [1,2,3,5,4] => [4,5,3,2,1] => [4,3,5,1,2] => 5
[4,1,2,5,3] => [1,2,5,3,4] => [4,3,5,2,1] => [4,5,3,1,2] => 4
[4,1,3,2,5] => [1,3,2,5,4] => [4,5,2,3,1] => [5,4,1,2,3] => 5
[4,1,3,5,2] => [1,3,5,2,4] => [4,2,5,3,1] => [2,5,4,1,3] => 4
[4,1,5,2,3] => [1,5,2,3,4] => [4,3,2,5,1] => [3,5,1,4,2] => 4
[4,1,5,3,2] => [1,5,2,3,4] => [4,3,2,5,1] => [3,5,1,4,2] => 4
[4,2,1,3,5] => [1,3,5,2,4] => [4,2,5,3,1] => [2,5,4,1,3] => 4
[4,2,1,5,3] => [1,5,2,3,4] => [4,3,2,5,1] => [3,5,1,4,2] => 4
[4,2,3,1,5] => [1,5,2,3,4] => [4,3,2,5,1] => [3,5,1,4,2] => 4
[4,2,3,5,1] => [1,2,3,5,4] => [4,5,3,2,1] => [4,3,5,1,2] => 5
[4,2,5,1,3] => [1,3,2,5,4] => [4,5,2,3,1] => [5,4,1,2,3] => 5
[4,2,5,3,1] => [1,2,5,3,4] => [4,3,5,2,1] => [4,5,3,1,2] => 4
[4,3,1,2,5] => [1,2,5,3,4] => [4,3,5,2,1] => [4,5,3,1,2] => 4
[4,3,1,5,2] => [1,5,2,3,4] => [4,3,2,5,1] => [3,5,1,4,2] => 4
[4,3,2,1,5] => [1,5,2,3,4] => [4,3,2,5,1] => [3,5,1,4,2] => 4
[4,3,2,5,1] => [1,2,5,3,4] => [4,3,5,2,1] => [4,5,3,1,2] => 4
[4,3,5,1,2] => [1,2,3,5,4] => [4,5,3,2,1] => [4,3,5,1,2] => 5
[4,3,5,2,1] => [1,2,3,5,4] => [4,5,3,2,1] => [4,3,5,1,2] => 5
[4,5,1,2,3] => [1,2,3,4,5] => [5,4,3,2,1] => [3,4,5,1,2] => 6
[4,5,1,3,2] => [1,3,2,4,5] => [5,4,2,3,1] => [4,5,1,2,3] => 6
[4,5,2,1,3] => [1,3,2,4,5] => [5,4,2,3,1] => [4,5,1,2,3] => 6
[4,5,2,3,1] => [1,2,3,4,5] => [5,4,3,2,1] => [3,4,5,1,2] => 6
[4,5,3,1,2] => [1,2,3,4,5] => [5,4,3,2,1] => [3,4,5,1,2] => 6
[4,5,3,2,1] => [1,2,3,4,5] => [5,4,3,2,1] => [3,4,5,1,2] => 6
[5,1,2,3,4] => [1,2,3,4,5] => [5,4,3,2,1] => [3,4,5,1,2] => 6
[5,1,2,4,3] => [1,2,4,3,5] => [5,3,4,2,1] => [3,5,4,1,2] => 5
[5,1,3,2,4] => [1,3,2,4,5] => [5,4,2,3,1] => [4,5,1,2,3] => 6
[5,1,3,4,2] => [1,3,4,2,5] => [5,2,4,3,1] => [2,4,5,1,3] => 5
[5,1,4,2,3] => [1,4,2,3,5] => [5,3,2,4,1] => [3,4,1,5,2] => 5
[5,1,4,3,2] => [1,4,2,3,5] => [5,3,2,4,1] => [3,4,1,5,2] => 5
[5,2,1,3,4] => [1,3,4,2,5] => [5,2,4,3,1] => [2,4,5,1,3] => 5
[5,2,1,4,3] => [1,4,2,3,5] => [5,3,2,4,1] => [3,4,1,5,2] => 5
[5,2,3,1,4] => [1,4,2,3,5] => [5,3,2,4,1] => [3,4,1,5,2] => 5
[5,2,3,4,1] => [1,2,3,4,5] => [5,4,3,2,1] => [3,4,5,1,2] => 6
[5,2,4,1,3] => [1,3,2,4,5] => [5,4,2,3,1] => [4,5,1,2,3] => 6
[5,2,4,3,1] => [1,2,4,3,5] => [5,3,4,2,1] => [3,5,4,1,2] => 5
[5,3,1,2,4] => [1,2,4,3,5] => [5,3,4,2,1] => [3,5,4,1,2] => 5
[5,3,1,4,2] => [1,4,2,3,5] => [5,3,2,4,1] => [3,4,1,5,2] => 5
[5,3,2,1,4] => [1,4,2,3,5] => [5,3,2,4,1] => [3,4,1,5,2] => 5
[5,3,2,4,1] => [1,2,4,3,5] => [5,3,4,2,1] => [3,5,4,1,2] => 5
[5,3,4,1,2] => [1,2,3,4,5] => [5,4,3,2,1] => [3,4,5,1,2] => 6
[5,3,4,2,1] => [1,2,3,4,5] => [5,4,3,2,1] => [3,4,5,1,2] => 6
[5,4,1,2,3] => [1,2,3,4,5] => [5,4,3,2,1] => [3,4,5,1,2] => 6
[5,4,1,3,2] => [1,3,2,4,5] => [5,4,2,3,1] => [4,5,1,2,3] => 6
[5,4,2,1,3] => [1,3,2,4,5] => [5,4,2,3,1] => [4,5,1,2,3] => 6
[5,4,2,3,1] => [1,2,3,4,5] => [5,4,3,2,1] => [3,4,5,1,2] => 6
[5,4,3,1,2] => [1,2,3,4,5] => [5,4,3,2,1] => [3,4,5,1,2] => 6
[5,4,3,2,1] => [1,2,3,4,5] => [5,4,3,2,1] => [3,4,5,1,2] => 6
[1,2,3,4,5,6] => [1,2,3,4,5,6] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => 9
[1,2,3,4,6,5] => [1,2,3,4,6,5] => [5,6,4,3,2,1] => [5,4,6,1,2,3] => 8
[1,2,3,5,4,6] => [1,2,3,5,4,6] => [6,4,5,3,2,1] => [4,6,5,1,2,3] => 8
[1,2,3,5,6,4] => [1,2,3,5,6,4] => [4,6,5,3,2,1] => [6,4,5,1,2,3] => 7
[1,2,3,6,4,5] => [1,2,3,6,4,5] => [5,4,6,3,2,1] => [5,6,4,1,2,3] => 7
[1,2,3,6,5,4] => [1,2,3,6,4,5] => [5,4,6,3,2,1] => [5,6,4,1,2,3] => 7
[1,2,4,3,5,6] => [1,2,4,3,5,6] => [6,5,3,4,2,1] => [3,4,5,6,1,2] => 8
[1,2,4,3,6,5] => [1,2,4,3,6,5] => [5,6,3,4,2,1] => [4,3,5,6,1,2] => 7
[1,2,4,5,3,6] => [1,2,4,5,3,6] => [6,3,5,4,2,1] => [3,5,4,6,1,2] => 7
[1,2,4,5,6,3] => [1,2,4,5,6,3] => [3,6,5,4,2,1] => [5,3,4,6,1,2] => 6
[1,2,4,6,3,5] => [1,2,4,6,3,5] => [5,3,6,4,2,1] => [4,5,3,6,1,2] => 6
[1,2,4,6,5,3] => [1,2,4,6,3,5] => [5,3,6,4,2,1] => [4,5,3,6,1,2] => 6
[1,2,5,3,4,6] => [1,2,5,3,4,6] => [6,4,3,5,2,1] => [3,4,6,5,1,2] => 7
[1,2,5,3,6,4] => [1,2,5,3,6,4] => [4,6,3,5,2,1] => [4,3,6,5,1,2] => 6
[1,2,5,4,3,6] => [1,2,5,3,6,4] => [4,6,3,5,2,1] => [4,3,6,5,1,2] => 6
[1,2,5,4,6,3] => [1,2,5,3,4,6] => [6,4,3,5,2,1] => [3,4,6,5,1,2] => 7
[1,2,5,6,3,4] => [1,2,5,6,3,4] => [4,3,6,5,2,1] => [4,6,3,5,1,2] => 5
[1,2,5,6,4,3] => [1,2,5,6,3,4] => [4,3,6,5,2,1] => [4,6,3,5,1,2] => 5
[1,2,6,3,4,5] => [1,2,6,3,4,5] => [5,4,3,6,2,1] => [3,5,6,4,1,2] => 6
[1,2,6,3,5,4] => [1,2,6,3,5,4] => [4,5,3,6,2,1] => [5,3,6,4,1,2] => 5
[1,2,6,4,3,5] => [1,2,6,3,5,4] => [4,5,3,6,2,1] => [5,3,6,4,1,2] => 5
[1,2,6,4,5,3] => [1,2,6,3,4,5] => [5,4,3,6,2,1] => [3,5,6,4,1,2] => 6
[1,2,6,5,3,4] => [1,2,6,3,4,5] => [5,4,3,6,2,1] => [3,5,6,4,1,2] => 6
[1,2,6,5,4,3] => [1,2,6,3,4,5] => [5,4,3,6,2,1] => [3,5,6,4,1,2] => 6
[1,3,2,4,5,6] => [1,3,2,4,5,6] => [6,5,4,2,3,1] => [4,5,6,2,1,3] => 8
[1,3,2,4,6,5] => [1,3,2,4,6,5] => [5,6,4,2,3,1] => [5,4,6,2,1,3] => 7
[1,3,2,5,4,6] => [1,3,2,5,4,6] => [6,4,5,2,3,1] => [4,6,5,2,1,3] => 7
[1,3,2,5,6,4] => [1,3,2,5,6,4] => [4,6,5,2,3,1] => [6,4,5,2,1,3] => 6
[1,3,2,6,4,5] => [1,3,2,6,4,5] => [5,4,6,2,3,1] => [5,6,4,2,1,3] => 6
[1,3,2,6,5,4] => [1,3,2,6,4,5] => [5,4,6,2,3,1] => [5,6,4,2,1,3] => 6
[1,3,4,2,5,6] => [1,3,4,2,5,6] => [6,5,2,4,3,1] => [4,5,1,6,2,3] => 8
[1,3,4,2,6,5] => [1,3,4,2,6,5] => [5,6,2,4,3,1] => [5,4,1,6,2,3] => 7
[1,3,4,5,2,6] => [1,3,4,5,2,6] => [6,2,5,4,3,1] => [2,4,5,6,1,3] => 7
[1,3,4,5,6,2] => [1,3,4,5,6,2] => [2,6,5,4,3,1] => [4,2,5,6,1,3] => 6
[1,3,4,6,2,5] => [1,3,4,6,2,5] => [5,2,6,4,3,1] => [2,5,4,6,1,3] => 6
[1,3,4,6,5,2] => [1,3,4,6,2,5] => [5,2,6,4,3,1] => [2,5,4,6,1,3] => 6
[1,3,5,2,4,6] => [1,3,5,2,4,6] => [6,4,2,5,3,1] => [4,6,1,5,2,3] => 7
[1,3,5,2,6,4] => [1,3,5,2,6,4] => [4,6,2,5,3,1] => [6,4,1,5,2,3] => 6
[1,3,5,4,2,6] => [1,3,5,2,6,4] => [4,6,2,5,3,1] => [6,4,1,5,2,3] => 6
[1,3,5,4,6,2] => [1,3,5,2,4,6] => [6,4,2,5,3,1] => [4,6,1,5,2,3] => 7
[1,3,5,6,2,4] => [1,3,5,6,2,4] => [4,2,6,5,3,1] => [2,6,4,5,1,3] => 5
[1,3,5,6,4,2] => [1,3,5,6,2,4] => [4,2,6,5,3,1] => [2,6,4,5,1,3] => 5
[1,3,6,2,4,5] => [1,3,6,2,4,5] => [5,4,2,6,3,1] => [5,6,1,4,2,3] => 6
[1,3,6,2,5,4] => [1,3,6,2,5,4] => [4,5,2,6,3,1] => [6,5,1,4,2,3] => 5
[1,3,6,4,2,5] => [1,3,6,2,5,4] => [4,5,2,6,3,1] => [6,5,1,4,2,3] => 5
[1,3,6,4,5,2] => [1,3,6,2,4,5] => [5,4,2,6,3,1] => [5,6,1,4,2,3] => 6
[1,3,6,5,2,4] => [1,3,6,2,4,5] => [5,4,2,6,3,1] => [5,6,1,4,2,3] => 6
[1,3,6,5,4,2] => [1,3,6,2,4,5] => [5,4,2,6,3,1] => [5,6,1,4,2,3] => 6
[1,4,2,3,5,6] => [1,4,2,3,5,6] => [6,5,3,2,4,1] => [3,5,6,1,2,4] => 8
[1,4,2,3,6,5] => [1,4,2,3,6,5] => [5,6,3,2,4,1] => [5,3,6,1,2,4] => 7
[1,4,2,5,3,6] => [1,4,2,5,3,6] => [6,3,5,2,4,1] => [3,6,5,1,2,4] => 7
[1,4,2,5,6,3] => [1,4,2,5,6,3] => [3,6,5,2,4,1] => [6,3,5,1,2,4] => 6
[1,4,2,6,3,5] => [1,4,2,6,3,5] => [5,3,6,2,4,1] => [5,6,3,1,2,4] => 6
[1,4,2,6,5,3] => [1,4,2,6,3,5] => [5,3,6,2,4,1] => [5,6,3,1,2,4] => 6
[1,4,3,2,5,6] => [1,4,2,5,6,3] => [3,6,5,2,4,1] => [6,3,5,1,2,4] => 6
[1,4,3,2,6,5] => [1,4,2,6,3,5] => [5,3,6,2,4,1] => [5,6,3,1,2,4] => 6
[1,4,3,5,2,6] => [1,4,2,6,3,5] => [5,3,6,2,4,1] => [5,6,3,1,2,4] => 6
[1,4,3,5,6,2] => [1,4,2,3,5,6] => [6,5,3,2,4,1] => [3,5,6,1,2,4] => 8
[1,4,3,6,2,5] => [1,4,2,5,3,6] => [6,3,5,2,4,1] => [3,6,5,1,2,4] => 7
[1,4,3,6,5,2] => [1,4,2,3,6,5] => [5,6,3,2,4,1] => [5,3,6,1,2,4] => 7
[1,4,5,2,3,6] => [1,4,5,2,3,6] => [6,3,2,5,4,1] => [3,5,1,6,2,4] => 7
[1,4,5,2,6,3] => [1,4,5,2,6,3] => [3,6,2,5,4,1] => [5,3,1,6,2,4] => 6
[1,4,5,3,2,6] => [1,4,5,2,6,3] => [3,6,2,5,4,1] => [5,3,1,6,2,4] => 6
[1,4,5,3,6,2] => [1,4,5,2,3,6] => [6,3,2,5,4,1] => [3,5,1,6,2,4] => 7
[1,4,5,6,2,3] => [1,4,5,6,2,3] => [3,2,6,5,4,1] => [2,5,3,6,1,4] => 5
[1,4,5,6,3,2] => [1,4,5,6,2,3] => [3,2,6,5,4,1] => [2,5,3,6,1,4] => 5
[1,4,6,2,3,5] => [1,4,6,2,3,5] => [5,3,2,6,4,1] => [3,6,1,5,2,4] => 6
[1,4,6,2,5,3] => [1,4,6,2,5,3] => [3,5,2,6,4,1] => [6,3,1,5,2,4] => 5
[1,4,6,3,2,5] => [1,4,6,2,5,3] => [3,5,2,6,4,1] => [6,3,1,5,2,4] => 5
[1,4,6,3,5,2] => [1,4,6,2,3,5] => [5,3,2,6,4,1] => [3,6,1,5,2,4] => 6
[1,4,6,5,2,3] => [1,4,6,2,3,5] => [5,3,2,6,4,1] => [3,6,1,5,2,4] => 6
[1,4,6,5,3,2] => [1,4,6,2,3,5] => [5,3,2,6,4,1] => [3,6,1,5,2,4] => 6
[1,5,2,3,4,6] => [1,5,2,3,4,6] => [6,4,3,2,5,1] => [3,4,5,1,6,2] => 7
[1,5,2,3,6,4] => [1,5,2,3,6,4] => [4,6,3,2,5,1] => [4,3,5,1,6,2] => 6
[1,5,2,4,3,6] => [1,5,2,4,3,6] => [6,3,4,2,5,1] => [3,5,4,1,6,2] => 6
[1,5,2,4,6,3] => [1,5,2,4,6,3] => [3,6,4,2,5,1] => [5,3,4,1,6,2] => 5
[1,5,2,6,3,4] => [1,5,2,6,3,4] => [4,3,6,2,5,1] => [4,5,3,1,6,2] => 5
[1,5,2,6,4,3] => [1,5,2,6,3,4] => [4,3,6,2,5,1] => [4,5,3,1,6,2] => 5
[1,5,3,2,4,6] => [1,5,2,4,6,3] => [3,6,4,2,5,1] => [5,3,4,1,6,2] => 5
[1,5,3,2,6,4] => [1,5,2,6,3,4] => [4,3,6,2,5,1] => [4,5,3,1,6,2] => 5
[1,5,3,4,2,6] => [1,5,2,6,3,4] => [4,3,6,2,5,1] => [4,5,3,1,6,2] => 5
[1,5,3,4,6,2] => [1,5,2,3,4,6] => [6,4,3,2,5,1] => [3,4,5,1,6,2] => 7
[1,5,3,6,2,4] => [1,5,2,4,3,6] => [6,3,4,2,5,1] => [3,5,4,1,6,2] => 6
[1,5,3,6,4,2] => [1,5,2,3,6,4] => [4,6,3,2,5,1] => [4,3,5,1,6,2] => 6
[1,5,4,2,3,6] => [1,5,2,3,6,4] => [4,6,3,2,5,1] => [4,3,5,1,6,2] => 6
[1,5,4,2,6,3] => [1,5,2,6,3,4] => [4,3,6,2,5,1] => [4,5,3,1,6,2] => 5
[1,5,4,3,2,6] => [1,5,2,6,3,4] => [4,3,6,2,5,1] => [4,5,3,1,6,2] => 5
[1,5,4,3,6,2] => [1,5,2,3,6,4] => [4,6,3,2,5,1] => [4,3,5,1,6,2] => 6
[1,5,4,6,2,3] => [1,5,2,3,4,6] => [6,4,3,2,5,1] => [3,4,5,1,6,2] => 7
[1,5,4,6,3,2] => [1,5,2,3,4,6] => [6,4,3,2,5,1] => [3,4,5,1,6,2] => 7
[1,5,6,2,3,4] => [1,5,6,2,3,4] => [4,3,2,6,5,1] => [3,5,1,4,6,2] => 5
[1,5,6,2,4,3] => [1,5,6,2,4,3] => [3,4,2,6,5,1] => [5,3,1,4,6,2] => 4
[1,5,6,3,2,4] => [1,5,6,2,4,3] => [3,4,2,6,5,1] => [5,3,1,4,6,2] => 4
[1,5,6,3,4,2] => [1,5,6,2,3,4] => [4,3,2,6,5,1] => [3,5,1,4,6,2] => 5
[1,5,6,4,2,3] => [1,5,6,2,3,4] => [4,3,2,6,5,1] => [3,5,1,4,6,2] => 5
[1,5,6,4,3,2] => [1,5,6,2,3,4] => [4,3,2,6,5,1] => [3,5,1,4,6,2] => 5
[1,6,2,3,4,5] => [1,6,2,3,4,5] => [5,4,3,2,6,1] => [3,4,6,1,5,2] => 6
[1,6,2,3,5,4] => [1,6,2,3,5,4] => [4,5,3,2,6,1] => [4,3,6,1,5,2] => 5
[1,6,2,4,3,5] => [1,6,2,4,3,5] => [5,3,4,2,6,1] => [3,6,4,1,5,2] => 5
[1,6,2,4,5,3] => [1,6,2,4,5,3] => [3,5,4,2,6,1] => [6,3,4,1,5,2] => 4
[1,6,2,5,3,4] => [1,6,2,5,3,4] => [4,3,5,2,6,1] => [4,6,3,1,5,2] => 4
[1,6,2,5,4,3] => [1,6,2,5,3,4] => [4,3,5,2,6,1] => [4,6,3,1,5,2] => 4
[1,6,3,2,4,5] => [1,6,2,4,5,3] => [3,5,4,2,6,1] => [6,3,4,1,5,2] => 4
[1,6,3,2,5,4] => [1,6,2,5,3,4] => [4,3,5,2,6,1] => [4,6,3,1,5,2] => 4
[1,6,3,4,2,5] => [1,6,2,5,3,4] => [4,3,5,2,6,1] => [4,6,3,1,5,2] => 4
[1,6,3,4,5,2] => [1,6,2,3,4,5] => [5,4,3,2,6,1] => [3,4,6,1,5,2] => 6
[1,6,3,5,2,4] => [1,6,2,4,3,5] => [5,3,4,2,6,1] => [3,6,4,1,5,2] => 5
[1,6,3,5,4,2] => [1,6,2,3,5,4] => [4,5,3,2,6,1] => [4,3,6,1,5,2] => 5
[1,6,4,2,3,5] => [1,6,2,3,5,4] => [4,5,3,2,6,1] => [4,3,6,1,5,2] => 5
[1,6,4,2,5,3] => [1,6,2,5,3,4] => [4,3,5,2,6,1] => [4,6,3,1,5,2] => 4
[1,6,4,3,2,5] => [1,6,2,5,3,4] => [4,3,5,2,6,1] => [4,6,3,1,5,2] => 4
[1,6,4,3,5,2] => [1,6,2,3,5,4] => [4,5,3,2,6,1] => [4,3,6,1,5,2] => 5
[1,6,4,5,2,3] => [1,6,2,3,4,5] => [5,4,3,2,6,1] => [3,4,6,1,5,2] => 6
[1,6,4,5,3,2] => [1,6,2,3,4,5] => [5,4,3,2,6,1] => [3,4,6,1,5,2] => 6
[1,6,5,2,3,4] => [1,6,2,3,4,5] => [5,4,3,2,6,1] => [3,4,6,1,5,2] => 6
[1,6,5,2,4,3] => [1,6,2,4,3,5] => [5,3,4,2,6,1] => [3,6,4,1,5,2] => 5
[1,6,5,3,2,4] => [1,6,2,4,3,5] => [5,3,4,2,6,1] => [3,6,4,1,5,2] => 5
[1,6,5,3,4,2] => [1,6,2,3,4,5] => [5,4,3,2,6,1] => [3,4,6,1,5,2] => 6
[1,6,5,4,2,3] => [1,6,2,3,4,5] => [5,4,3,2,6,1] => [3,4,6,1,5,2] => 6
[1,6,5,4,3,2] => [1,6,2,3,4,5] => [5,4,3,2,6,1] => [3,4,6,1,5,2] => 6
[2,1,3,4,5,6] => [1,3,4,5,6,2] => [2,6,5,4,3,1] => [4,2,5,6,1,3] => 6
[2,1,3,4,6,5] => [1,3,4,6,2,5] => [5,2,6,4,3,1] => [2,5,4,6,1,3] => 6
[2,1,3,5,4,6] => [1,3,5,2,4,6] => [6,4,2,5,3,1] => [4,6,1,5,2,3] => 7
[2,1,3,5,6,4] => [1,3,5,6,2,4] => [4,2,6,5,3,1] => [2,6,4,5,1,3] => 5
[2,1,3,6,4,5] => [1,3,6,2,4,5] => [5,4,2,6,3,1] => [5,6,1,4,2,3] => 6
[2,1,3,6,5,4] => [1,3,6,2,4,5] => [5,4,2,6,3,1] => [5,6,1,4,2,3] => 6
[2,1,4,3,5,6] => [1,4,2,3,5,6] => [6,5,3,2,4,1] => [3,5,6,1,2,4] => 8
[2,1,4,3,6,5] => [1,4,2,3,6,5] => [5,6,3,2,4,1] => [5,3,6,1,2,4] => 7
[2,1,4,5,3,6] => [1,4,5,2,3,6] => [6,3,2,5,4,1] => [3,5,1,6,2,4] => 7
[2,1,4,5,6,3] => [1,4,5,6,2,3] => [3,2,6,5,4,1] => [2,5,3,6,1,4] => 5
[2,1,4,6,3,5] => [1,4,6,2,3,5] => [5,3,2,6,4,1] => [3,6,1,5,2,4] => 6
[2,1,4,6,5,3] => [1,4,6,2,3,5] => [5,3,2,6,4,1] => [3,6,1,5,2,4] => 6
[2,1,5,3,4,6] => [1,5,2,3,4,6] => [6,4,3,2,5,1] => [3,4,5,1,6,2] => 7
[2,1,5,3,6,4] => [1,5,2,3,6,4] => [4,6,3,2,5,1] => [4,3,5,1,6,2] => 6
[2,1,5,4,3,6] => [1,5,2,3,6,4] => [4,6,3,2,5,1] => [4,3,5,1,6,2] => 6
[2,1,5,4,6,3] => [1,5,2,3,4,6] => [6,4,3,2,5,1] => [3,4,5,1,6,2] => 7
[2,1,5,6,3,4] => [1,5,6,2,3,4] => [4,3,2,6,5,1] => [3,5,1,4,6,2] => 5
[2,1,5,6,4,3] => [1,5,6,2,3,4] => [4,3,2,6,5,1] => [3,5,1,4,6,2] => 5
[2,1,6,3,4,5] => [1,6,2,3,4,5] => [5,4,3,2,6,1] => [3,4,6,1,5,2] => 6
[2,1,6,3,5,4] => [1,6,2,3,5,4] => [4,5,3,2,6,1] => [4,3,6,1,5,2] => 5
[2,1,6,4,3,5] => [1,6,2,3,5,4] => [4,5,3,2,6,1] => [4,3,6,1,5,2] => 5
[2,1,6,4,5,3] => [1,6,2,3,4,5] => [5,4,3,2,6,1] => [3,4,6,1,5,2] => 6
[2,1,6,5,3,4] => [1,6,2,3,4,5] => [5,4,3,2,6,1] => [3,4,6,1,5,2] => 6
[2,1,6,5,4,3] => [1,6,2,3,4,5] => [5,4,3,2,6,1] => [3,4,6,1,5,2] => 6
[2,3,1,4,5,6] => [1,4,5,6,2,3] => [3,2,6,5,4,1] => [2,5,3,6,1,4] => 5
[2,3,1,4,6,5] => [1,4,6,2,3,5] => [5,3,2,6,4,1] => [3,6,1,5,2,4] => 6
[2,3,1,5,4,6] => [1,5,2,3,4,6] => [6,4,3,2,5,1] => [3,4,5,1,6,2] => 7
[2,3,1,5,6,4] => [1,5,6,2,3,4] => [4,3,2,6,5,1] => [3,5,1,4,6,2] => 5
[2,3,1,6,4,5] => [1,6,2,3,4,5] => [5,4,3,2,6,1] => [3,4,6,1,5,2] => 6
[2,3,1,6,5,4] => [1,6,2,3,4,5] => [5,4,3,2,6,1] => [3,4,6,1,5,2] => 6
[2,3,4,1,5,6] => [1,5,6,2,3,4] => [4,3,2,6,5,1] => [3,5,1,4,6,2] => 5
[2,3,4,1,6,5] => [1,6,2,3,4,5] => [5,4,3,2,6,1] => [3,4,6,1,5,2] => 6
[2,3,4,5,1,6] => [1,6,2,3,4,5] => [5,4,3,2,6,1] => [3,4,6,1,5,2] => 6
[2,3,4,5,6,1] => [1,2,3,4,5,6] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => 9
[2,3,4,6,1,5] => [1,5,2,3,4,6] => [6,4,3,2,5,1] => [3,4,5,1,6,2] => 7
[2,3,4,6,5,1] => [1,2,3,4,6,5] => [5,6,4,3,2,1] => [5,4,6,1,2,3] => 8
[2,3,5,1,4,6] => [1,4,6,2,3,5] => [5,3,2,6,4,1] => [3,6,1,5,2,4] => 6
[2,3,5,1,6,4] => [1,6,2,3,5,4] => [4,5,3,2,6,1] => [4,3,6,1,5,2] => 5
[2,3,5,4,1,6] => [1,6,2,3,5,4] => [4,5,3,2,6,1] => [4,3,6,1,5,2] => 5
[2,3,5,4,6,1] => [1,2,3,5,4,6] => [6,4,5,3,2,1] => [4,6,5,1,2,3] => 8
[2,3,5,6,1,4] => [1,4,2,3,5,6] => [6,5,3,2,4,1] => [3,5,6,1,2,4] => 8
[2,3,5,6,4,1] => [1,2,3,5,6,4] => [4,6,5,3,2,1] => [6,4,5,1,2,3] => 7
[2,3,6,1,4,5] => [1,4,5,2,3,6] => [6,3,2,5,4,1] => [3,5,1,6,2,4] => 7
[2,3,6,1,5,4] => [1,5,2,3,6,4] => [4,6,3,2,5,1] => [4,3,5,1,6,2] => 6
[2,3,6,4,1,5] => [1,5,2,3,6,4] => [4,6,3,2,5,1] => [4,3,5,1,6,2] => 6
[2,3,6,4,5,1] => [1,2,3,6,4,5] => [5,4,6,3,2,1] => [5,6,4,1,2,3] => 7
[2,3,6,5,1,4] => [1,4,2,3,6,5] => [5,6,3,2,4,1] => [5,3,6,1,2,4] => 7
[2,3,6,5,4,1] => [1,2,3,6,4,5] => [5,4,6,3,2,1] => [5,6,4,1,2,3] => 7
[2,4,1,3,5,6] => [1,3,5,6,2,4] => [4,2,6,5,3,1] => [2,6,4,5,1,3] => 5
[2,4,1,3,6,5] => [1,3,6,2,4,5] => [5,4,2,6,3,1] => [5,6,1,4,2,3] => 6
[2,4,1,5,3,6] => [1,5,2,4,3,6] => [6,3,4,2,5,1] => [3,5,4,1,6,2] => 6
[2,4,1,5,6,3] => [1,5,6,2,4,3] => [3,4,2,6,5,1] => [5,3,1,4,6,2] => 4
[2,4,1,6,3,5] => [1,6,2,4,3,5] => [5,3,4,2,6,1] => [3,6,4,1,5,2] => 5
[2,4,1,6,5,3] => [1,6,2,4,3,5] => [5,3,4,2,6,1] => [3,6,4,1,5,2] => 5
[2,4,3,1,5,6] => [1,5,6,2,4,3] => [3,4,2,6,5,1] => [5,3,1,4,6,2] => 4
[2,4,3,1,6,5] => [1,6,2,4,3,5] => [5,3,4,2,6,1] => [3,6,4,1,5,2] => 5
[2,4,3,5,1,6] => [1,6,2,4,3,5] => [5,3,4,2,6,1] => [3,6,4,1,5,2] => 5
[2,4,3,5,6,1] => [1,2,4,3,5,6] => [6,5,3,4,2,1] => [3,4,5,6,1,2] => 8
[2,4,3,6,1,5] => [1,5,2,4,3,6] => [6,3,4,2,5,1] => [3,5,4,1,6,2] => 6
[2,4,3,6,5,1] => [1,2,4,3,6,5] => [5,6,3,4,2,1] => [4,3,5,6,1,2] => 7
[2,4,5,1,3,6] => [1,3,6,2,4,5] => [5,4,2,6,3,1] => [5,6,1,4,2,3] => 6
[2,4,5,1,6,3] => [1,6,2,4,5,3] => [3,5,4,2,6,1] => [6,3,4,1,5,2] => 4
[2,4,5,3,1,6] => [1,6,2,4,5,3] => [3,5,4,2,6,1] => [6,3,4,1,5,2] => 4
[2,4,5,3,6,1] => [1,2,4,5,3,6] => [6,3,5,4,2,1] => [3,5,4,6,1,2] => 7
[2,4,5,6,1,3] => [1,3,2,4,5,6] => [6,5,4,2,3,1] => [4,5,6,2,1,3] => 8
[2,4,5,6,3,1] => [1,2,4,5,6,3] => [3,6,5,4,2,1] => [5,3,4,6,1,2] => 6
[2,4,6,1,3,5] => [1,3,5,2,4,6] => [6,4,2,5,3,1] => [4,6,1,5,2,3] => 7
[2,4,6,1,5,3] => [1,5,2,4,6,3] => [3,6,4,2,5,1] => [5,3,4,1,6,2] => 5
[2,4,6,3,1,5] => [1,5,2,4,6,3] => [3,6,4,2,5,1] => [5,3,4,1,6,2] => 5
[2,4,6,3,5,1] => [1,2,4,6,3,5] => [5,3,6,4,2,1] => [4,5,3,6,1,2] => 6
[2,4,6,5,1,3] => [1,3,2,4,6,5] => [5,6,4,2,3,1] => [5,4,6,2,1,3] => 7
[2,4,6,5,3,1] => [1,2,4,6,3,5] => [5,3,6,4,2,1] => [4,5,3,6,1,2] => 6
[2,5,1,3,4,6] => [1,3,4,6,2,5] => [5,2,6,4,3,1] => [2,5,4,6,1,3] => 6
[2,5,1,3,6,4] => [1,3,6,2,5,4] => [4,5,2,6,3,1] => [6,5,1,4,2,3] => 5
[2,5,1,4,3,6] => [1,4,2,5,3,6] => [6,3,5,2,4,1] => [3,6,5,1,2,4] => 7
[2,5,1,4,6,3] => [1,4,6,2,5,3] => [3,5,2,6,4,1] => [6,3,1,5,2,4] => 5
[2,5,1,6,3,4] => [1,6,2,5,3,4] => [4,3,5,2,6,1] => [4,6,3,1,5,2] => 4
[2,5,1,6,4,3] => [1,6,2,5,3,4] => [4,3,5,2,6,1] => [4,6,3,1,5,2] => 4
[2,5,3,1,4,6] => [1,4,6,2,5,3] => [3,5,2,6,4,1] => [6,3,1,5,2,4] => 5
[2,5,3,1,6,4] => [1,6,2,5,3,4] => [4,3,5,2,6,1] => [4,6,3,1,5,2] => 4
[2,5,3,4,1,6] => [1,6,2,5,3,4] => [4,3,5,2,6,1] => [4,6,3,1,5,2] => 4
[2,5,3,4,6,1] => [1,2,5,3,4,6] => [6,4,3,5,2,1] => [3,4,6,5,1,2] => 7
[2,5,3,6,1,4] => [1,4,2,5,3,6] => [6,3,5,2,4,1] => [3,6,5,1,2,4] => 7
[2,5,3,6,4,1] => [1,2,5,3,6,4] => [4,6,3,5,2,1] => [4,3,6,5,1,2] => 6
[2,5,4,1,3,6] => [1,3,6,2,5,4] => [4,5,2,6,3,1] => [6,5,1,4,2,3] => 5
[2,5,4,1,6,3] => [1,6,2,5,3,4] => [4,3,5,2,6,1] => [4,6,3,1,5,2] => 4
[2,5,4,3,1,6] => [1,6,2,5,3,4] => [4,3,5,2,6,1] => [4,6,3,1,5,2] => 4
[2,5,4,3,6,1] => [1,2,5,3,6,4] => [4,6,3,5,2,1] => [4,3,6,5,1,2] => 6
[2,5,4,6,1,3] => [1,3,2,5,4,6] => [6,4,5,2,3,1] => [4,6,5,2,1,3] => 7
[2,5,4,6,3,1] => [1,2,5,3,4,6] => [6,4,3,5,2,1] => [3,4,6,5,1,2] => 7
[2,5,6,1,3,4] => [1,3,4,2,5,6] => [6,5,2,4,3,1] => [4,5,1,6,2,3] => 8
[2,5,6,1,4,3] => [1,4,2,5,6,3] => [3,6,5,2,4,1] => [6,3,5,1,2,4] => 6
[2,5,6,3,1,4] => [1,4,2,5,6,3] => [3,6,5,2,4,1] => [6,3,5,1,2,4] => 6
[2,5,6,3,4,1] => [1,2,5,6,3,4] => [4,3,6,5,2,1] => [4,6,3,5,1,2] => 5
[2,5,6,4,1,3] => [1,3,2,5,6,4] => [4,6,5,2,3,1] => [6,4,5,2,1,3] => 6
[2,5,6,4,3,1] => [1,2,5,6,3,4] => [4,3,6,5,2,1] => [4,6,3,5,1,2] => 5
[2,6,1,3,4,5] => [1,3,4,5,2,6] => [6,2,5,4,3,1] => [2,4,5,6,1,3] => 7
[2,6,1,3,5,4] => [1,3,5,2,6,4] => [4,6,2,5,3,1] => [6,4,1,5,2,3] => 6
[2,6,1,4,3,5] => [1,4,2,6,3,5] => [5,3,6,2,4,1] => [5,6,3,1,2,4] => 6
[2,6,1,4,5,3] => [1,4,5,2,6,3] => [3,6,2,5,4,1] => [5,3,1,6,2,4] => 6
[2,6,1,5,3,4] => [1,5,2,6,3,4] => [4,3,6,2,5,1] => [4,5,3,1,6,2] => 5
[2,6,1,5,4,3] => [1,5,2,6,3,4] => [4,3,6,2,5,1] => [4,5,3,1,6,2] => 5
[2,6,3,1,4,5] => [1,4,5,2,6,3] => [3,6,2,5,4,1] => [5,3,1,6,2,4] => 6
[2,6,3,1,5,4] => [1,5,2,6,3,4] => [4,3,6,2,5,1] => [4,5,3,1,6,2] => 5
[2,6,3,4,1,5] => [1,5,2,6,3,4] => [4,3,6,2,5,1] => [4,5,3,1,6,2] => 5
[2,6,3,4,5,1] => [1,2,6,3,4,5] => [5,4,3,6,2,1] => [3,5,6,4,1,2] => 6
[2,6,3,5,1,4] => [1,4,2,6,3,5] => [5,3,6,2,4,1] => [5,6,3,1,2,4] => 6
[2,6,3,5,4,1] => [1,2,6,3,5,4] => [4,5,3,6,2,1] => [5,3,6,4,1,2] => 5
[2,6,4,1,3,5] => [1,3,5,2,6,4] => [4,6,2,5,3,1] => [6,4,1,5,2,3] => 6
[2,6,4,1,5,3] => [1,5,2,6,3,4] => [4,3,6,2,5,1] => [4,5,3,1,6,2] => 5
[2,6,4,3,1,5] => [1,5,2,6,3,4] => [4,3,6,2,5,1] => [4,5,3,1,6,2] => 5
[2,6,4,3,5,1] => [1,2,6,3,5,4] => [4,5,3,6,2,1] => [5,3,6,4,1,2] => 5
[2,6,4,5,1,3] => [1,3,2,6,4,5] => [5,4,6,2,3,1] => [5,6,4,2,1,3] => 6
[2,6,4,5,3,1] => [1,2,6,3,4,5] => [5,4,3,6,2,1] => [3,5,6,4,1,2] => 6
[2,6,5,1,3,4] => [1,3,4,2,6,5] => [5,6,2,4,3,1] => [5,4,1,6,2,3] => 7
[2,6,5,1,4,3] => [1,4,2,6,3,5] => [5,3,6,2,4,1] => [5,6,3,1,2,4] => 6
[2,6,5,3,1,4] => [1,4,2,6,3,5] => [5,3,6,2,4,1] => [5,6,3,1,2,4] => 6
[2,6,5,3,4,1] => [1,2,6,3,4,5] => [5,4,3,6,2,1] => [3,5,6,4,1,2] => 6
[2,6,5,4,1,3] => [1,3,2,6,4,5] => [5,4,6,2,3,1] => [5,6,4,2,1,3] => 6
[2,6,5,4,3,1] => [1,2,6,3,4,5] => [5,4,3,6,2,1] => [3,5,6,4,1,2] => 6
[3,1,2,4,5,6] => [1,2,4,5,6,3] => [3,6,5,4,2,1] => [5,3,4,6,1,2] => 6
[3,1,2,4,6,5] => [1,2,4,6,3,5] => [5,3,6,4,2,1] => [4,5,3,6,1,2] => 6
[3,1,2,5,4,6] => [1,2,5,3,4,6] => [6,4,3,5,2,1] => [3,4,6,5,1,2] => 7
[3,1,2,5,6,4] => [1,2,5,6,3,4] => [4,3,6,5,2,1] => [4,6,3,5,1,2] => 5
[3,1,2,6,4,5] => [1,2,6,3,4,5] => [5,4,3,6,2,1] => [3,5,6,4,1,2] => 6
[3,1,2,6,5,4] => [1,2,6,3,4,5] => [5,4,3,6,2,1] => [3,5,6,4,1,2] => 6
[3,1,4,2,5,6] => [1,4,2,5,6,3] => [3,6,5,2,4,1] => [6,3,5,1,2,4] => 6
[3,1,4,2,6,5] => [1,4,2,6,3,5] => [5,3,6,2,4,1] => [5,6,3,1,2,4] => 6
[3,1,4,5,2,6] => [1,4,5,2,6,3] => [3,6,2,5,4,1] => [5,3,1,6,2,4] => 6
[3,1,4,5,6,2] => [1,4,5,6,2,3] => [3,2,6,5,4,1] => [2,5,3,6,1,4] => 5
[3,1,4,6,2,5] => [1,4,6,2,5,3] => [3,5,2,6,4,1] => [6,3,1,5,2,4] => 5
[3,1,4,6,5,2] => [1,4,6,2,3,5] => [5,3,2,6,4,1] => [3,6,1,5,2,4] => 6
[3,1,5,2,4,6] => [1,5,2,4,6,3] => [3,6,4,2,5,1] => [5,3,4,1,6,2] => 5
[3,1,5,2,6,4] => [1,5,2,6,3,4] => [4,3,6,2,5,1] => [4,5,3,1,6,2] => 5
[3,1,5,4,2,6] => [1,5,2,6,3,4] => [4,3,6,2,5,1] => [4,5,3,1,6,2] => 5
[3,1,5,4,6,2] => [1,5,2,3,4,6] => [6,4,3,2,5,1] => [3,4,5,1,6,2] => 7
[3,1,5,6,2,4] => [1,5,6,2,4,3] => [3,4,2,6,5,1] => [5,3,1,4,6,2] => 4
[3,1,5,6,4,2] => [1,5,6,2,3,4] => [4,3,2,6,5,1] => [3,5,1,4,6,2] => 5
[3,1,6,2,4,5] => [1,6,2,4,5,3] => [3,5,4,2,6,1] => [6,3,4,1,5,2] => 4
[3,1,6,2,5,4] => [1,6,2,5,3,4] => [4,3,5,2,6,1] => [4,6,3,1,5,2] => 4
[3,1,6,4,2,5] => [1,6,2,5,3,4] => [4,3,5,2,6,1] => [4,6,3,1,5,2] => 4
[3,1,6,4,5,2] => [1,6,2,3,4,5] => [5,4,3,2,6,1] => [3,4,6,1,5,2] => 6
[3,1,6,5,2,4] => [1,6,2,4,3,5] => [5,3,4,2,6,1] => [3,6,4,1,5,2] => 5
[3,1,6,5,4,2] => [1,6,2,3,4,5] => [5,4,3,2,6,1] => [3,4,6,1,5,2] => 6
[3,2,1,4,5,6] => [1,4,5,6,2,3] => [3,2,6,5,4,1] => [2,5,3,6,1,4] => 5
[3,2,1,4,6,5] => [1,4,6,2,3,5] => [5,3,2,6,4,1] => [3,6,1,5,2,4] => 6
[3,2,1,5,4,6] => [1,5,2,3,4,6] => [6,4,3,2,5,1] => [3,4,5,1,6,2] => 7
[3,2,1,5,6,4] => [1,5,6,2,3,4] => [4,3,2,6,5,1] => [3,5,1,4,6,2] => 5
[3,2,1,6,4,5] => [1,6,2,3,4,5] => [5,4,3,2,6,1] => [3,4,6,1,5,2] => 6
[3,2,1,6,5,4] => [1,6,2,3,4,5] => [5,4,3,2,6,1] => [3,4,6,1,5,2] => 6
[3,2,4,1,5,6] => [1,5,6,2,4,3] => [3,4,2,6,5,1] => [5,3,1,4,6,2] => 4
[3,2,4,1,6,5] => [1,6,2,4,3,5] => [5,3,4,2,6,1] => [3,6,4,1,5,2] => 5
[3,2,4,5,1,6] => [1,6,2,4,5,3] => [3,5,4,2,6,1] => [6,3,4,1,5,2] => 4
[3,2,4,5,6,1] => [1,2,4,5,6,3] => [3,6,5,4,2,1] => [5,3,4,6,1,2] => 6
[3,2,4,6,1,5] => [1,5,2,4,6,3] => [3,6,4,2,5,1] => [5,3,4,1,6,2] => 5
[3,2,4,6,5,1] => [1,2,4,6,3,5] => [5,3,6,4,2,1] => [4,5,3,6,1,2] => 6
[3,2,5,1,4,6] => [1,4,6,2,5,3] => [3,5,2,6,4,1] => [6,3,1,5,2,4] => 5
[3,2,5,1,6,4] => [1,6,2,5,3,4] => [4,3,5,2,6,1] => [4,6,3,1,5,2] => 4
[3,2,5,4,1,6] => [1,6,2,5,3,4] => [4,3,5,2,6,1] => [4,6,3,1,5,2] => 4
[3,2,5,4,6,1] => [1,2,5,3,4,6] => [6,4,3,5,2,1] => [3,4,6,5,1,2] => 7
[3,2,5,6,1,4] => [1,4,2,5,6,3] => [3,6,5,2,4,1] => [6,3,5,1,2,4] => 6
[3,2,5,6,4,1] => [1,2,5,6,3,4] => [4,3,6,5,2,1] => [4,6,3,5,1,2] => 5
[3,2,6,1,4,5] => [1,4,5,2,6,3] => [3,6,2,5,4,1] => [5,3,1,6,2,4] => 6
[3,2,6,1,5,4] => [1,5,2,6,3,4] => [4,3,6,2,5,1] => [4,5,3,1,6,2] => 5
[3,2,6,4,1,5] => [1,5,2,6,3,4] => [4,3,6,2,5,1] => [4,5,3,1,6,2] => 5
[3,2,6,4,5,1] => [1,2,6,3,4,5] => [5,4,3,6,2,1] => [3,5,6,4,1,2] => 6
[3,2,6,5,1,4] => [1,4,2,6,3,5] => [5,3,6,2,4,1] => [5,6,3,1,2,4] => 6
[3,2,6,5,4,1] => [1,2,6,3,4,5] => [5,4,3,6,2,1] => [3,5,6,4,1,2] => 6
[3,4,1,2,5,6] => [1,2,5,6,3,4] => [4,3,6,5,2,1] => [4,6,3,5,1,2] => 5
[3,4,1,2,6,5] => [1,2,6,3,4,5] => [5,4,3,6,2,1] => [3,5,6,4,1,2] => 6
[3,4,1,5,2,6] => [1,5,2,6,3,4] => [4,3,6,2,5,1] => [4,5,3,1,6,2] => 5
[3,4,1,5,6,2] => [1,5,6,2,3,4] => [4,3,2,6,5,1] => [3,5,1,4,6,2] => 5
[3,4,1,6,2,5] => [1,6,2,5,3,4] => [4,3,5,2,6,1] => [4,6,3,1,5,2] => 4
[3,4,1,6,5,2] => [1,6,2,3,4,5] => [5,4,3,2,6,1] => [3,4,6,1,5,2] => 6
[3,4,2,1,5,6] => [1,5,6,2,3,4] => [4,3,2,6,5,1] => [3,5,1,4,6,2] => 5
[3,4,2,1,6,5] => [1,6,2,3,4,5] => [5,4,3,2,6,1] => [3,4,6,1,5,2] => 6
[3,4,2,5,1,6] => [1,6,2,5,3,4] => [4,3,5,2,6,1] => [4,6,3,1,5,2] => 4
[3,4,2,5,6,1] => [1,2,5,6,3,4] => [4,3,6,5,2,1] => [4,6,3,5,1,2] => 5
[3,4,2,6,1,5] => [1,5,2,6,3,4] => [4,3,6,2,5,1] => [4,5,3,1,6,2] => 5
[3,4,2,6,5,1] => [1,2,6,3,4,5] => [5,4,3,6,2,1] => [3,5,6,4,1,2] => 6
[3,4,5,1,2,6] => [1,2,6,3,4,5] => [5,4,3,6,2,1] => [3,5,6,4,1,2] => 6
[3,4,5,1,6,2] => [1,6,2,3,4,5] => [5,4,3,2,6,1] => [3,4,6,1,5,2] => 6
[3,4,5,2,1,6] => [1,6,2,3,4,5] => [5,4,3,2,6,1] => [3,4,6,1,5,2] => 6
[3,4,5,2,6,1] => [1,2,6,3,4,5] => [5,4,3,6,2,1] => [3,5,6,4,1,2] => 6
[3,4,5,6,1,2] => [1,2,3,4,5,6] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => 9
[3,4,5,6,2,1] => [1,2,3,4,5,6] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => 9
[3,4,6,1,2,5] => [1,2,5,3,4,6] => [6,4,3,5,2,1] => [3,4,6,5,1,2] => 7
[3,4,6,1,5,2] => [1,5,2,3,4,6] => [6,4,3,2,5,1] => [3,4,5,1,6,2] => 7
[3,4,6,2,1,5] => [1,5,2,3,4,6] => [6,4,3,2,5,1] => [3,4,5,1,6,2] => 7
[3,4,6,2,5,1] => [1,2,5,3,4,6] => [6,4,3,5,2,1] => [3,4,6,5,1,2] => 7
[3,4,6,5,1,2] => [1,2,3,4,6,5] => [5,6,4,3,2,1] => [5,4,6,1,2,3] => 8
[3,4,6,5,2,1] => [1,2,3,4,6,5] => [5,6,4,3,2,1] => [5,4,6,1,2,3] => 8
[3,5,1,2,4,6] => [1,2,4,6,3,5] => [5,3,6,4,2,1] => [4,5,3,6,1,2] => 6
[3,5,1,2,6,4] => [1,2,6,3,5,4] => [4,5,3,6,2,1] => [5,3,6,4,1,2] => 5
[3,5,1,4,2,6] => [1,4,2,6,3,5] => [5,3,6,2,4,1] => [5,6,3,1,2,4] => 6
[3,5,1,4,6,2] => [1,4,6,2,3,5] => [5,3,2,6,4,1] => [3,6,1,5,2,4] => 6
[3,5,1,6,2,4] => [1,6,2,4,3,5] => [5,3,4,2,6,1] => [3,6,4,1,5,2] => 5
[3,5,1,6,4,2] => [1,6,2,3,5,4] => [4,5,3,2,6,1] => [4,3,6,1,5,2] => 5
[3,5,2,1,4,6] => [1,4,6,2,3,5] => [5,3,2,6,4,1] => [3,6,1,5,2,4] => 6
[3,5,2,1,6,4] => [1,6,2,3,5,4] => [4,5,3,2,6,1] => [4,3,6,1,5,2] => 5
[3,5,2,4,1,6] => [1,6,2,4,3,5] => [5,3,4,2,6,1] => [3,6,4,1,5,2] => 5
[3,5,2,4,6,1] => [1,2,4,6,3,5] => [5,3,6,4,2,1] => [4,5,3,6,1,2] => 6
[3,5,2,6,1,4] => [1,4,2,6,3,5] => [5,3,6,2,4,1] => [5,6,3,1,2,4] => 6
[3,5,2,6,4,1] => [1,2,6,3,5,4] => [4,5,3,6,2,1] => [5,3,6,4,1,2] => 5
[3,5,4,1,2,6] => [1,2,6,3,5,4] => [4,5,3,6,2,1] => [5,3,6,4,1,2] => 5
[3,5,4,1,6,2] => [1,6,2,3,5,4] => [4,5,3,2,6,1] => [4,3,6,1,5,2] => 5
[3,5,4,2,1,6] => [1,6,2,3,5,4] => [4,5,3,2,6,1] => [4,3,6,1,5,2] => 5
[3,5,4,2,6,1] => [1,2,6,3,5,4] => [4,5,3,6,2,1] => [5,3,6,4,1,2] => 5
[3,5,4,6,1,2] => [1,2,3,5,4,6] => [6,4,5,3,2,1] => [4,6,5,1,2,3] => 8
[3,5,4,6,2,1] => [1,2,3,5,4,6] => [6,4,5,3,2,1] => [4,6,5,1,2,3] => 8
[3,5,6,1,2,4] => [1,2,4,3,5,6] => [6,5,3,4,2,1] => [3,4,5,6,1,2] => 8
[3,5,6,1,4,2] => [1,4,2,3,5,6] => [6,5,3,2,4,1] => [3,5,6,1,2,4] => 8
[3,5,6,2,1,4] => [1,4,2,3,5,6] => [6,5,3,2,4,1] => [3,5,6,1,2,4] => 8
[3,5,6,2,4,1] => [1,2,4,3,5,6] => [6,5,3,4,2,1] => [3,4,5,6,1,2] => 8
[3,5,6,4,1,2] => [1,2,3,5,6,4] => [4,6,5,3,2,1] => [6,4,5,1,2,3] => 7
[3,5,6,4,2,1] => [1,2,3,5,6,4] => [4,6,5,3,2,1] => [6,4,5,1,2,3] => 7
[3,6,1,2,4,5] => [1,2,4,5,3,6] => [6,3,5,4,2,1] => [3,5,4,6,1,2] => 7
[3,6,1,2,5,4] => [1,2,5,3,6,4] => [4,6,3,5,2,1] => [4,3,6,5,1,2] => 6
[3,6,1,4,2,5] => [1,4,2,5,3,6] => [6,3,5,2,4,1] => [3,6,5,1,2,4] => 7
[3,6,1,4,5,2] => [1,4,5,2,3,6] => [6,3,2,5,4,1] => [3,5,1,6,2,4] => 7
[3,6,1,5,2,4] => [1,5,2,4,3,6] => [6,3,4,2,5,1] => [3,5,4,1,6,2] => 6
[3,6,1,5,4,2] => [1,5,2,3,6,4] => [4,6,3,2,5,1] => [4,3,5,1,6,2] => 6
[3,6,2,1,4,5] => [1,4,5,2,3,6] => [6,3,2,5,4,1] => [3,5,1,6,2,4] => 7
[3,6,2,1,5,4] => [1,5,2,3,6,4] => [4,6,3,2,5,1] => [4,3,5,1,6,2] => 6
[3,6,2,4,1,5] => [1,5,2,4,3,6] => [6,3,4,2,5,1] => [3,5,4,1,6,2] => 6
[3,6,2,4,5,1] => [1,2,4,5,3,6] => [6,3,5,4,2,1] => [3,5,4,6,1,2] => 7
[3,6,2,5,1,4] => [1,4,2,5,3,6] => [6,3,5,2,4,1] => [3,6,5,1,2,4] => 7
[3,6,2,5,4,1] => [1,2,5,3,6,4] => [4,6,3,5,2,1] => [4,3,6,5,1,2] => 6
[3,6,4,1,2,5] => [1,2,5,3,6,4] => [4,6,3,5,2,1] => [4,3,6,5,1,2] => 6
[3,6,4,1,5,2] => [1,5,2,3,6,4] => [4,6,3,2,5,1] => [4,3,5,1,6,2] => 6
[3,6,4,2,1,5] => [1,5,2,3,6,4] => [4,6,3,2,5,1] => [4,3,5,1,6,2] => 6
[3,6,4,2,5,1] => [1,2,5,3,6,4] => [4,6,3,5,2,1] => [4,3,6,5,1,2] => 6
[3,6,4,5,1,2] => [1,2,3,6,4,5] => [5,4,6,3,2,1] => [5,6,4,1,2,3] => 7
[3,6,4,5,2,1] => [1,2,3,6,4,5] => [5,4,6,3,2,1] => [5,6,4,1,2,3] => 7
[3,6,5,1,2,4] => [1,2,4,3,6,5] => [5,6,3,4,2,1] => [4,3,5,6,1,2] => 7
[3,6,5,1,4,2] => [1,4,2,3,6,5] => [5,6,3,2,4,1] => [5,3,6,1,2,4] => 7
[3,6,5,2,1,4] => [1,4,2,3,6,5] => [5,6,3,2,4,1] => [5,3,6,1,2,4] => 7
[3,6,5,2,4,1] => [1,2,4,3,6,5] => [5,6,3,4,2,1] => [4,3,5,6,1,2] => 7
[3,6,5,4,1,2] => [1,2,3,6,4,5] => [5,4,6,3,2,1] => [5,6,4,1,2,3] => 7
[3,6,5,4,2,1] => [1,2,3,6,4,5] => [5,4,6,3,2,1] => [5,6,4,1,2,3] => 7
[4,1,2,3,5,6] => [1,2,3,5,6,4] => [4,6,5,3,2,1] => [6,4,5,1,2,3] => 7
[4,1,2,3,6,5] => [1,2,3,6,4,5] => [5,4,6,3,2,1] => [5,6,4,1,2,3] => 7
[4,1,2,5,3,6] => [1,2,5,3,6,4] => [4,6,3,5,2,1] => [4,3,6,5,1,2] => 6
[4,1,2,5,6,3] => [1,2,5,6,3,4] => [4,3,6,5,2,1] => [4,6,3,5,1,2] => 5
[4,1,2,6,3,5] => [1,2,6,3,5,4] => [4,5,3,6,2,1] => [5,3,6,4,1,2] => 5
[4,1,2,6,5,3] => [1,2,6,3,4,5] => [5,4,3,6,2,1] => [3,5,6,4,1,2] => 6
[4,1,3,2,5,6] => [1,3,2,5,6,4] => [4,6,5,2,3,1] => [6,4,5,2,1,3] => 6
[4,1,3,2,6,5] => [1,3,2,6,4,5] => [5,4,6,2,3,1] => [5,6,4,2,1,3] => 6
[4,1,3,5,2,6] => [1,3,5,2,6,4] => [4,6,2,5,3,1] => [6,4,1,5,2,3] => 6
[4,1,3,5,6,2] => [1,3,5,6,2,4] => [4,2,6,5,3,1] => [2,6,4,5,1,3] => 5
[4,1,3,6,2,5] => [1,3,6,2,5,4] => [4,5,2,6,3,1] => [6,5,1,4,2,3] => 5
[4,1,3,6,5,2] => [1,3,6,2,4,5] => [5,4,2,6,3,1] => [5,6,1,4,2,3] => 6
[4,1,5,2,3,6] => [1,5,2,3,6,4] => [4,6,3,2,5,1] => [4,3,5,1,6,2] => 6
[4,1,5,2,6,3] => [1,5,2,6,3,4] => [4,3,6,2,5,1] => [4,5,3,1,6,2] => 5
[4,1,5,3,2,6] => [1,5,2,6,3,4] => [4,3,6,2,5,1] => [4,5,3,1,6,2] => 5
[4,1,5,3,6,2] => [1,5,2,3,6,4] => [4,6,3,2,5,1] => [4,3,5,1,6,2] => 6
[4,1,5,6,2,3] => [1,5,6,2,3,4] => [4,3,2,6,5,1] => [3,5,1,4,6,2] => 5
[4,1,5,6,3,2] => [1,5,6,2,3,4] => [4,3,2,6,5,1] => [3,5,1,4,6,2] => 5
[4,1,6,2,3,5] => [1,6,2,3,5,4] => [4,5,3,2,6,1] => [4,3,6,1,5,2] => 5
[4,1,6,2,5,3] => [1,6,2,5,3,4] => [4,3,5,2,6,1] => [4,6,3,1,5,2] => 4
[4,1,6,3,2,5] => [1,6,2,5,3,4] => [4,3,5,2,6,1] => [4,6,3,1,5,2] => 4
[4,1,6,3,5,2] => [1,6,2,3,5,4] => [4,5,3,2,6,1] => [4,3,6,1,5,2] => 5
[4,1,6,5,2,3] => [1,6,2,3,4,5] => [5,4,3,2,6,1] => [3,4,6,1,5,2] => 6
[4,1,6,5,3,2] => [1,6,2,3,4,5] => [5,4,3,2,6,1] => [3,4,6,1,5,2] => 6
[4,2,1,3,5,6] => [1,3,5,6,2,4] => [4,2,6,5,3,1] => [2,6,4,5,1,3] => 5
[4,2,1,3,6,5] => [1,3,6,2,4,5] => [5,4,2,6,3,1] => [5,6,1,4,2,3] => 6
[4,2,1,5,3,6] => [1,5,2,3,6,4] => [4,6,3,2,5,1] => [4,3,5,1,6,2] => 6
[4,2,1,5,6,3] => [1,5,6,2,3,4] => [4,3,2,6,5,1] => [3,5,1,4,6,2] => 5
[4,2,1,6,3,5] => [1,6,2,3,5,4] => [4,5,3,2,6,1] => [4,3,6,1,5,2] => 5
[4,2,1,6,5,3] => [1,6,2,3,4,5] => [5,4,3,2,6,1] => [3,4,6,1,5,2] => 6
[4,2,3,1,5,6] => [1,5,6,2,3,4] => [4,3,2,6,5,1] => [3,5,1,4,6,2] => 5
[4,2,3,1,6,5] => [1,6,2,3,4,5] => [5,4,3,2,6,1] => [3,4,6,1,5,2] => 6
[4,2,3,5,1,6] => [1,6,2,3,5,4] => [4,5,3,2,6,1] => [4,3,6,1,5,2] => 5
[4,2,3,5,6,1] => [1,2,3,5,6,4] => [4,6,5,3,2,1] => [6,4,5,1,2,3] => 7
[4,2,3,6,1,5] => [1,5,2,3,6,4] => [4,6,3,2,5,1] => [4,3,5,1,6,2] => 6
[4,2,3,6,5,1] => [1,2,3,6,4,5] => [5,4,6,3,2,1] => [5,6,4,1,2,3] => 7
[4,2,5,1,3,6] => [1,3,6,2,5,4] => [4,5,2,6,3,1] => [6,5,1,4,2,3] => 5
[4,2,5,1,6,3] => [1,6,2,5,3,4] => [4,3,5,2,6,1] => [4,6,3,1,5,2] => 4
[4,2,5,3,1,6] => [1,6,2,5,3,4] => [4,3,5,2,6,1] => [4,6,3,1,5,2] => 4
[4,2,5,3,6,1] => [1,2,5,3,6,4] => [4,6,3,5,2,1] => [4,3,6,5,1,2] => 6
[4,2,5,6,1,3] => [1,3,2,5,6,4] => [4,6,5,2,3,1] => [6,4,5,2,1,3] => 6
[4,2,5,6,3,1] => [1,2,5,6,3,4] => [4,3,6,5,2,1] => [4,6,3,5,1,2] => 5
[4,2,6,1,3,5] => [1,3,5,2,6,4] => [4,6,2,5,3,1] => [6,4,1,5,2,3] => 6
[4,2,6,1,5,3] => [1,5,2,6,3,4] => [4,3,6,2,5,1] => [4,5,3,1,6,2] => 5
[4,2,6,3,1,5] => [1,5,2,6,3,4] => [4,3,6,2,5,1] => [4,5,3,1,6,2] => 5
[4,2,6,3,5,1] => [1,2,6,3,5,4] => [4,5,3,6,2,1] => [5,3,6,4,1,2] => 5
[4,2,6,5,1,3] => [1,3,2,6,4,5] => [5,4,6,2,3,1] => [5,6,4,2,1,3] => 6
[4,2,6,5,3,1] => [1,2,6,3,4,5] => [5,4,3,6,2,1] => [3,5,6,4,1,2] => 6
[4,3,1,2,5,6] => [1,2,5,6,3,4] => [4,3,6,5,2,1] => [4,6,3,5,1,2] => 5
[4,3,1,2,6,5] => [1,2,6,3,4,5] => [5,4,3,6,2,1] => [3,5,6,4,1,2] => 6
[4,3,1,5,2,6] => [1,5,2,6,3,4] => [4,3,6,2,5,1] => [4,5,3,1,6,2] => 5
[4,3,1,5,6,2] => [1,5,6,2,3,4] => [4,3,2,6,5,1] => [3,5,1,4,6,2] => 5
[4,3,1,6,2,5] => [1,6,2,5,3,4] => [4,3,5,2,6,1] => [4,6,3,1,5,2] => 4
[4,3,1,6,5,2] => [1,6,2,3,4,5] => [5,4,3,2,6,1] => [3,4,6,1,5,2] => 6
[4,3,2,1,5,6] => [1,5,6,2,3,4] => [4,3,2,6,5,1] => [3,5,1,4,6,2] => 5
[4,3,2,1,6,5] => [1,6,2,3,4,5] => [5,4,3,2,6,1] => [3,4,6,1,5,2] => 6
[4,3,2,5,1,6] => [1,6,2,5,3,4] => [4,3,5,2,6,1] => [4,6,3,1,5,2] => 4
[4,3,2,5,6,1] => [1,2,5,6,3,4] => [4,3,6,5,2,1] => [4,6,3,5,1,2] => 5
[4,3,2,6,1,5] => [1,5,2,6,3,4] => [4,3,6,2,5,1] => [4,5,3,1,6,2] => 5
[4,3,2,6,5,1] => [1,2,6,3,4,5] => [5,4,3,6,2,1] => [3,5,6,4,1,2] => 6
[4,3,5,1,2,6] => [1,2,6,3,5,4] => [4,5,3,6,2,1] => [5,3,6,4,1,2] => 5
[4,3,5,1,6,2] => [1,6,2,3,5,4] => [4,5,3,2,6,1] => [4,3,6,1,5,2] => 5
[4,3,5,2,1,6] => [1,6,2,3,5,4] => [4,5,3,2,6,1] => [4,3,6,1,5,2] => 5
[4,3,5,2,6,1] => [1,2,6,3,5,4] => [4,5,3,6,2,1] => [5,3,6,4,1,2] => 5
[4,3,5,6,1,2] => [1,2,3,5,6,4] => [4,6,5,3,2,1] => [6,4,5,1,2,3] => 7
[4,3,5,6,2,1] => [1,2,3,5,6,4] => [4,6,5,3,2,1] => [6,4,5,1,2,3] => 7
[4,3,6,1,2,5] => [1,2,5,3,6,4] => [4,6,3,5,2,1] => [4,3,6,5,1,2] => 6
[4,3,6,1,5,2] => [1,5,2,3,6,4] => [4,6,3,2,5,1] => [4,3,5,1,6,2] => 6
[4,3,6,2,1,5] => [1,5,2,3,6,4] => [4,6,3,2,5,1] => [4,3,5,1,6,2] => 6
[4,3,6,2,5,1] => [1,2,5,3,6,4] => [4,6,3,5,2,1] => [4,3,6,5,1,2] => 6
[4,3,6,5,1,2] => [1,2,3,6,4,5] => [5,4,6,3,2,1] => [5,6,4,1,2,3] => 7
[4,3,6,5,2,1] => [1,2,3,6,4,5] => [5,4,6,3,2,1] => [5,6,4,1,2,3] => 7
[4,5,1,2,3,6] => [1,2,3,6,4,5] => [5,4,6,3,2,1] => [5,6,4,1,2,3] => 7
[4,5,1,2,6,3] => [1,2,6,3,4,5] => [5,4,3,6,2,1] => [3,5,6,4,1,2] => 6
[4,5,1,3,2,6] => [1,3,2,6,4,5] => [5,4,6,2,3,1] => [5,6,4,2,1,3] => 6
[4,5,1,3,6,2] => [1,3,6,2,4,5] => [5,4,2,6,3,1] => [5,6,1,4,2,3] => 6
[4,5,1,6,2,3] => [1,6,2,3,4,5] => [5,4,3,2,6,1] => [3,4,6,1,5,2] => 6
[4,5,1,6,3,2] => [1,6,2,3,4,5] => [5,4,3,2,6,1] => [3,4,6,1,5,2] => 6
[4,5,2,1,3,6] => [1,3,6,2,4,5] => [5,4,2,6,3,1] => [5,6,1,4,2,3] => 6
[4,5,2,1,6,3] => [1,6,2,3,4,5] => [5,4,3,2,6,1] => [3,4,6,1,5,2] => 6
[4,5,2,3,1,6] => [1,6,2,3,4,5] => [5,4,3,2,6,1] => [3,4,6,1,5,2] => 6
[4,5,2,3,6,1] => [1,2,3,6,4,5] => [5,4,6,3,2,1] => [5,6,4,1,2,3] => 7
[4,5,2,6,1,3] => [1,3,2,6,4,5] => [5,4,6,2,3,1] => [5,6,4,2,1,3] => 6
[4,5,2,6,3,1] => [1,2,6,3,4,5] => [5,4,3,6,2,1] => [3,5,6,4,1,2] => 6
[4,5,3,1,2,6] => [1,2,6,3,4,5] => [5,4,3,6,2,1] => [3,5,6,4,1,2] => 6
[4,5,3,1,6,2] => [1,6,2,3,4,5] => [5,4,3,2,6,1] => [3,4,6,1,5,2] => 6
[4,5,3,2,1,6] => [1,6,2,3,4,5] => [5,4,3,2,6,1] => [3,4,6,1,5,2] => 6
[4,5,3,2,6,1] => [1,2,6,3,4,5] => [5,4,3,6,2,1] => [3,5,6,4,1,2] => 6
[4,5,3,6,1,2] => [1,2,3,6,4,5] => [5,4,6,3,2,1] => [5,6,4,1,2,3] => 7
[4,5,3,6,2,1] => [1,2,3,6,4,5] => [5,4,6,3,2,1] => [5,6,4,1,2,3] => 7
[4,5,6,1,2,3] => [1,2,3,4,5,6] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => 9
[4,5,6,1,3,2] => [1,3,2,4,5,6] => [6,5,4,2,3,1] => [4,5,6,2,1,3] => 8
[4,5,6,2,1,3] => [1,3,2,4,5,6] => [6,5,4,2,3,1] => [4,5,6,2,1,3] => 8
[4,5,6,2,3,1] => [1,2,3,4,5,6] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => 9
[4,5,6,3,1,2] => [1,2,3,4,5,6] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => 9
[4,5,6,3,2,1] => [1,2,3,4,5,6] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => 9
[4,6,1,2,3,5] => [1,2,3,5,4,6] => [6,4,5,3,2,1] => [4,6,5,1,2,3] => 8
[4,6,1,2,5,3] => [1,2,5,3,4,6] => [6,4,3,5,2,1] => [3,4,6,5,1,2] => 7
[4,6,1,3,2,5] => [1,3,2,5,4,6] => [6,4,5,2,3,1] => [4,6,5,2,1,3] => 7
[4,6,1,3,5,2] => [1,3,5,2,4,6] => [6,4,2,5,3,1] => [4,6,1,5,2,3] => 7
[4,6,1,5,2,3] => [1,5,2,3,4,6] => [6,4,3,2,5,1] => [3,4,5,1,6,2] => 7
[4,6,1,5,3,2] => [1,5,2,3,4,6] => [6,4,3,2,5,1] => [3,4,5,1,6,2] => 7
[4,6,2,1,3,5] => [1,3,5,2,4,6] => [6,4,2,5,3,1] => [4,6,1,5,2,3] => 7
[4,6,2,1,5,3] => [1,5,2,3,4,6] => [6,4,3,2,5,1] => [3,4,5,1,6,2] => 7
[4,6,2,3,1,5] => [1,5,2,3,4,6] => [6,4,3,2,5,1] => [3,4,5,1,6,2] => 7
[4,6,2,3,5,1] => [1,2,3,5,4,6] => [6,4,5,3,2,1] => [4,6,5,1,2,3] => 8
[4,6,2,5,1,3] => [1,3,2,5,4,6] => [6,4,5,2,3,1] => [4,6,5,2,1,3] => 7
[4,6,2,5,3,1] => [1,2,5,3,4,6] => [6,4,3,5,2,1] => [3,4,6,5,1,2] => 7
[4,6,3,1,2,5] => [1,2,5,3,4,6] => [6,4,3,5,2,1] => [3,4,6,5,1,2] => 7
[4,6,3,1,5,2] => [1,5,2,3,4,6] => [6,4,3,2,5,1] => [3,4,5,1,6,2] => 7
[4,6,3,2,1,5] => [1,5,2,3,4,6] => [6,4,3,2,5,1] => [3,4,5,1,6,2] => 7
[4,6,3,2,5,1] => [1,2,5,3,4,6] => [6,4,3,5,2,1] => [3,4,6,5,1,2] => 7
[4,6,3,5,1,2] => [1,2,3,5,4,6] => [6,4,5,3,2,1] => [4,6,5,1,2,3] => 8
[4,6,3,5,2,1] => [1,2,3,5,4,6] => [6,4,5,3,2,1] => [4,6,5,1,2,3] => 8
[4,6,5,1,2,3] => [1,2,3,4,6,5] => [5,6,4,3,2,1] => [5,4,6,1,2,3] => 8
[4,6,5,1,3,2] => [1,3,2,4,6,5] => [5,6,4,2,3,1] => [5,4,6,2,1,3] => 7
[4,6,5,2,1,3] => [1,3,2,4,6,5] => [5,6,4,2,3,1] => [5,4,6,2,1,3] => 7
[4,6,5,2,3,1] => [1,2,3,4,6,5] => [5,6,4,3,2,1] => [5,4,6,1,2,3] => 8
[4,6,5,3,1,2] => [1,2,3,4,6,5] => [5,6,4,3,2,1] => [5,4,6,1,2,3] => 8
[4,6,5,3,2,1] => [1,2,3,4,6,5] => [5,6,4,3,2,1] => [5,4,6,1,2,3] => 8
[5,1,2,3,4,6] => [1,2,3,4,6,5] => [5,6,4,3,2,1] => [5,4,6,1,2,3] => 8
[5,1,2,3,6,4] => [1,2,3,6,4,5] => [5,4,6,3,2,1] => [5,6,4,1,2,3] => 7
[5,1,2,4,3,6] => [1,2,4,3,6,5] => [5,6,3,4,2,1] => [4,3,5,6,1,2] => 7
[5,1,2,4,6,3] => [1,2,4,6,3,5] => [5,3,6,4,2,1] => [4,5,3,6,1,2] => 6
[5,1,2,6,3,4] => [1,2,6,3,4,5] => [5,4,3,6,2,1] => [3,5,6,4,1,2] => 6
[5,1,2,6,4,3] => [1,2,6,3,4,5] => [5,4,3,6,2,1] => [3,5,6,4,1,2] => 6
[5,1,3,2,4,6] => [1,3,2,4,6,5] => [5,6,4,2,3,1] => [5,4,6,2,1,3] => 7
[5,1,3,2,6,4] => [1,3,2,6,4,5] => [5,4,6,2,3,1] => [5,6,4,2,1,3] => 6
[5,1,3,4,2,6] => [1,3,4,2,6,5] => [5,6,2,4,3,1] => [5,4,1,6,2,3] => 7
[5,1,3,4,6,2] => [1,3,4,6,2,5] => [5,2,6,4,3,1] => [2,5,4,6,1,3] => 6
[5,1,3,6,2,4] => [1,3,6,2,4,5] => [5,4,2,6,3,1] => [5,6,1,4,2,3] => 6
[5,1,3,6,4,2] => [1,3,6,2,4,5] => [5,4,2,6,3,1] => [5,6,1,4,2,3] => 6
[5,1,4,2,3,6] => [1,4,2,3,6,5] => [5,6,3,2,4,1] => [5,3,6,1,2,4] => 7
[5,1,4,2,6,3] => [1,4,2,6,3,5] => [5,3,6,2,4,1] => [5,6,3,1,2,4] => 6
[5,1,4,3,2,6] => [1,4,2,6,3,5] => [5,3,6,2,4,1] => [5,6,3,1,2,4] => 6
[5,1,4,3,6,2] => [1,4,2,3,6,5] => [5,6,3,2,4,1] => [5,3,6,1,2,4] => 7
[5,1,4,6,2,3] => [1,4,6,2,3,5] => [5,3,2,6,4,1] => [3,6,1,5,2,4] => 6
[5,1,4,6,3,2] => [1,4,6,2,3,5] => [5,3,2,6,4,1] => [3,6,1,5,2,4] => 6
[5,1,6,2,3,4] => [1,6,2,3,4,5] => [5,4,3,2,6,1] => [3,4,6,1,5,2] => 6
[5,1,6,2,4,3] => [1,6,2,4,3,5] => [5,3,4,2,6,1] => [3,6,4,1,5,2] => 5
[5,1,6,3,2,4] => [1,6,2,4,3,5] => [5,3,4,2,6,1] => [3,6,4,1,5,2] => 5
[5,1,6,3,4,2] => [1,6,2,3,4,5] => [5,4,3,2,6,1] => [3,4,6,1,5,2] => 6
[5,1,6,4,2,3] => [1,6,2,3,4,5] => [5,4,3,2,6,1] => [3,4,6,1,5,2] => 6
[5,1,6,4,3,2] => [1,6,2,3,4,5] => [5,4,3,2,6,1] => [3,4,6,1,5,2] => 6
[5,2,1,3,4,6] => [1,3,4,6,2,5] => [5,2,6,4,3,1] => [2,5,4,6,1,3] => 6
[5,2,1,3,6,4] => [1,3,6,2,4,5] => [5,4,2,6,3,1] => [5,6,1,4,2,3] => 6
[5,2,1,4,3,6] => [1,4,2,3,6,5] => [5,6,3,2,4,1] => [5,3,6,1,2,4] => 7
[5,2,1,4,6,3] => [1,4,6,2,3,5] => [5,3,2,6,4,1] => [3,6,1,5,2,4] => 6
[5,2,1,6,3,4] => [1,6,2,3,4,5] => [5,4,3,2,6,1] => [3,4,6,1,5,2] => 6
[5,2,1,6,4,3] => [1,6,2,3,4,5] => [5,4,3,2,6,1] => [3,4,6,1,5,2] => 6
[5,2,3,1,4,6] => [1,4,6,2,3,5] => [5,3,2,6,4,1] => [3,6,1,5,2,4] => 6
[5,2,3,1,6,4] => [1,6,2,3,4,5] => [5,4,3,2,6,1] => [3,4,6,1,5,2] => 6
[5,2,3,4,1,6] => [1,6,2,3,4,5] => [5,4,3,2,6,1] => [3,4,6,1,5,2] => 6
[5,2,3,4,6,1] => [1,2,3,4,6,5] => [5,6,4,3,2,1] => [5,4,6,1,2,3] => 8
[5,2,3,6,1,4] => [1,4,2,3,6,5] => [5,6,3,2,4,1] => [5,3,6,1,2,4] => 7
[5,2,3,6,4,1] => [1,2,3,6,4,5] => [5,4,6,3,2,1] => [5,6,4,1,2,3] => 7
[5,2,4,1,3,6] => [1,3,6,2,4,5] => [5,4,2,6,3,1] => [5,6,1,4,2,3] => 6
[5,2,4,1,6,3] => [1,6,2,4,3,5] => [5,3,4,2,6,1] => [3,6,4,1,5,2] => 5
[5,2,4,3,1,6] => [1,6,2,4,3,5] => [5,3,4,2,6,1] => [3,6,4,1,5,2] => 5
[5,2,4,3,6,1] => [1,2,4,3,6,5] => [5,6,3,4,2,1] => [4,3,5,6,1,2] => 7
[5,2,4,6,1,3] => [1,3,2,4,6,5] => [5,6,4,2,3,1] => [5,4,6,2,1,3] => 7
[5,2,4,6,3,1] => [1,2,4,6,3,5] => [5,3,6,4,2,1] => [4,5,3,6,1,2] => 6
[5,2,6,1,3,4] => [1,3,4,2,6,5] => [5,6,2,4,3,1] => [5,4,1,6,2,3] => 7
[5,2,6,1,4,3] => [1,4,2,6,3,5] => [5,3,6,2,4,1] => [5,6,3,1,2,4] => 6
[5,2,6,3,1,4] => [1,4,2,6,3,5] => [5,3,6,2,4,1] => [5,6,3,1,2,4] => 6
[5,2,6,3,4,1] => [1,2,6,3,4,5] => [5,4,3,6,2,1] => [3,5,6,4,1,2] => 6
[5,2,6,4,1,3] => [1,3,2,6,4,5] => [5,4,6,2,3,1] => [5,6,4,2,1,3] => 6
[5,2,6,4,3,1] => [1,2,6,3,4,5] => [5,4,3,6,2,1] => [3,5,6,4,1,2] => 6
[5,3,1,2,4,6] => [1,2,4,6,3,5] => [5,3,6,4,2,1] => [4,5,3,6,1,2] => 6
[5,3,1,2,6,4] => [1,2,6,3,4,5] => [5,4,3,6,2,1] => [3,5,6,4,1,2] => 6
[5,3,1,4,2,6] => [1,4,2,6,3,5] => [5,3,6,2,4,1] => [5,6,3,1,2,4] => 6
[5,3,1,4,6,2] => [1,4,6,2,3,5] => [5,3,2,6,4,1] => [3,6,1,5,2,4] => 6
[5,3,1,6,2,4] => [1,6,2,4,3,5] => [5,3,4,2,6,1] => [3,6,4,1,5,2] => 5
[5,3,1,6,4,2] => [1,6,2,3,4,5] => [5,4,3,2,6,1] => [3,4,6,1,5,2] => 6
[5,3,2,1,4,6] => [1,4,6,2,3,5] => [5,3,2,6,4,1] => [3,6,1,5,2,4] => 6
[5,3,2,1,6,4] => [1,6,2,3,4,5] => [5,4,3,2,6,1] => [3,4,6,1,5,2] => 6
[5,3,2,4,1,6] => [1,6,2,4,3,5] => [5,3,4,2,6,1] => [3,6,4,1,5,2] => 5
[5,3,2,4,6,1] => [1,2,4,6,3,5] => [5,3,6,4,2,1] => [4,5,3,6,1,2] => 6
[5,3,2,6,1,4] => [1,4,2,6,3,5] => [5,3,6,2,4,1] => [5,6,3,1,2,4] => 6
[5,3,2,6,4,1] => [1,2,6,3,4,5] => [5,4,3,6,2,1] => [3,5,6,4,1,2] => 6
[5,3,4,1,2,6] => [1,2,6,3,4,5] => [5,4,3,6,2,1] => [3,5,6,4,1,2] => 6
[5,3,4,1,6,2] => [1,6,2,3,4,5] => [5,4,3,2,6,1] => [3,4,6,1,5,2] => 6
[5,3,4,2,1,6] => [1,6,2,3,4,5] => [5,4,3,2,6,1] => [3,4,6,1,5,2] => 6
[5,3,4,2,6,1] => [1,2,6,3,4,5] => [5,4,3,6,2,1] => [3,5,6,4,1,2] => 6
[5,3,4,6,1,2] => [1,2,3,4,6,5] => [5,6,4,3,2,1] => [5,4,6,1,2,3] => 8
[5,3,4,6,2,1] => [1,2,3,4,6,5] => [5,6,4,3,2,1] => [5,4,6,1,2,3] => 8
[5,3,6,1,2,4] => [1,2,4,3,6,5] => [5,6,3,4,2,1] => [4,3,5,6,1,2] => 7
[5,3,6,1,4,2] => [1,4,2,3,6,5] => [5,6,3,2,4,1] => [5,3,6,1,2,4] => 7
[5,3,6,2,1,4] => [1,4,2,3,6,5] => [5,6,3,2,4,1] => [5,3,6,1,2,4] => 7
[5,3,6,2,4,1] => [1,2,4,3,6,5] => [5,6,3,4,2,1] => [4,3,5,6,1,2] => 7
[5,3,6,4,1,2] => [1,2,3,6,4,5] => [5,4,6,3,2,1] => [5,6,4,1,2,3] => 7
[5,3,6,4,2,1] => [1,2,3,6,4,5] => [5,4,6,3,2,1] => [5,6,4,1,2,3] => 7
[5,4,1,2,3,6] => [1,2,3,6,4,5] => [5,4,6,3,2,1] => [5,6,4,1,2,3] => 7
[5,4,1,2,6,3] => [1,2,6,3,4,5] => [5,4,3,6,2,1] => [3,5,6,4,1,2] => 6
[5,4,1,3,2,6] => [1,3,2,6,4,5] => [5,4,6,2,3,1] => [5,6,4,2,1,3] => 6
[5,4,1,3,6,2] => [1,3,6,2,4,5] => [5,4,2,6,3,1] => [5,6,1,4,2,3] => 6
[5,4,1,6,2,3] => [1,6,2,3,4,5] => [5,4,3,2,6,1] => [3,4,6,1,5,2] => 6
[5,4,1,6,3,2] => [1,6,2,3,4,5] => [5,4,3,2,6,1] => [3,4,6,1,5,2] => 6
[5,4,2,1,3,6] => [1,3,6,2,4,5] => [5,4,2,6,3,1] => [5,6,1,4,2,3] => 6
[5,4,2,1,6,3] => [1,6,2,3,4,5] => [5,4,3,2,6,1] => [3,4,6,1,5,2] => 6
[5,4,2,3,1,6] => [1,6,2,3,4,5] => [5,4,3,2,6,1] => [3,4,6,1,5,2] => 6
[5,4,2,3,6,1] => [1,2,3,6,4,5] => [5,4,6,3,2,1] => [5,6,4,1,2,3] => 7
[5,4,2,6,1,3] => [1,3,2,6,4,5] => [5,4,6,2,3,1] => [5,6,4,2,1,3] => 6
[5,4,2,6,3,1] => [1,2,6,3,4,5] => [5,4,3,6,2,1] => [3,5,6,4,1,2] => 6
[5,4,3,1,2,6] => [1,2,6,3,4,5] => [5,4,3,6,2,1] => [3,5,6,4,1,2] => 6
[5,4,3,1,6,2] => [1,6,2,3,4,5] => [5,4,3,2,6,1] => [3,4,6,1,5,2] => 6
[5,4,3,2,1,6] => [1,6,2,3,4,5] => [5,4,3,2,6,1] => [3,4,6,1,5,2] => 6
[5,4,3,2,6,1] => [1,2,6,3,4,5] => [5,4,3,6,2,1] => [3,5,6,4,1,2] => 6
[5,4,3,6,1,2] => [1,2,3,6,4,5] => [5,4,6,3,2,1] => [5,6,4,1,2,3] => 7
[5,4,3,6,2,1] => [1,2,3,6,4,5] => [5,4,6,3,2,1] => [5,6,4,1,2,3] => 7
[5,4,6,1,2,3] => [1,2,3,4,6,5] => [5,6,4,3,2,1] => [5,4,6,1,2,3] => 8
[5,4,6,1,3,2] => [1,3,2,4,6,5] => [5,6,4,2,3,1] => [5,4,6,2,1,3] => 7
[5,4,6,2,1,3] => [1,3,2,4,6,5] => [5,6,4,2,3,1] => [5,4,6,2,1,3] => 7
[5,4,6,2,3,1] => [1,2,3,4,6,5] => [5,6,4,3,2,1] => [5,4,6,1,2,3] => 8
[5,4,6,3,1,2] => [1,2,3,4,6,5] => [5,6,4,3,2,1] => [5,4,6,1,2,3] => 8
[5,4,6,3,2,1] => [1,2,3,4,6,5] => [5,6,4,3,2,1] => [5,4,6,1,2,3] => 8
[5,6,1,2,3,4] => [1,2,3,4,5,6] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => 9
[5,6,1,2,4,3] => [1,2,4,3,5,6] => [6,5,3,4,2,1] => [3,4,5,6,1,2] => 8
[5,6,1,3,2,4] => [1,3,2,4,5,6] => [6,5,4,2,3,1] => [4,5,6,2,1,3] => 8
[5,6,1,3,4,2] => [1,3,4,2,5,6] => [6,5,2,4,3,1] => [4,5,1,6,2,3] => 8
[5,6,1,4,2,3] => [1,4,2,3,5,6] => [6,5,3,2,4,1] => [3,5,6,1,2,4] => 8
[5,6,1,4,3,2] => [1,4,2,3,5,6] => [6,5,3,2,4,1] => [3,5,6,1,2,4] => 8
[5,6,2,1,3,4] => [1,3,4,2,5,6] => [6,5,2,4,3,1] => [4,5,1,6,2,3] => 8
[5,6,2,1,4,3] => [1,4,2,3,5,6] => [6,5,3,2,4,1] => [3,5,6,1,2,4] => 8
[5,6,2,3,1,4] => [1,4,2,3,5,6] => [6,5,3,2,4,1] => [3,5,6,1,2,4] => 8
[5,6,2,3,4,1] => [1,2,3,4,5,6] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => 9
[5,6,2,4,1,3] => [1,3,2,4,5,6] => [6,5,4,2,3,1] => [4,5,6,2,1,3] => 8
[5,6,2,4,3,1] => [1,2,4,3,5,6] => [6,5,3,4,2,1] => [3,4,5,6,1,2] => 8
[5,6,3,1,2,4] => [1,2,4,3,5,6] => [6,5,3,4,2,1] => [3,4,5,6,1,2] => 8
[5,6,3,1,4,2] => [1,4,2,3,5,6] => [6,5,3,2,4,1] => [3,5,6,1,2,4] => 8
[5,6,3,2,1,4] => [1,4,2,3,5,6] => [6,5,3,2,4,1] => [3,5,6,1,2,4] => 8
[5,6,3,2,4,1] => [1,2,4,3,5,6] => [6,5,3,4,2,1] => [3,4,5,6,1,2] => 8
[5,6,3,4,1,2] => [1,2,3,4,5,6] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => 9
[5,6,3,4,2,1] => [1,2,3,4,5,6] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => 9
[5,6,4,1,2,3] => [1,2,3,4,5,6] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => 9
[5,6,4,1,3,2] => [1,3,2,4,5,6] => [6,5,4,2,3,1] => [4,5,6,2,1,3] => 8
[5,6,4,2,1,3] => [1,3,2,4,5,6] => [6,5,4,2,3,1] => [4,5,6,2,1,3] => 8
[5,6,4,2,3,1] => [1,2,3,4,5,6] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => 9
[5,6,4,3,1,2] => [1,2,3,4,5,6] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => 9
[5,6,4,3,2,1] => [1,2,3,4,5,6] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => 9
[6,1,2,3,4,5] => [1,2,3,4,5,6] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => 9
[6,1,2,3,5,4] => [1,2,3,5,4,6] => [6,4,5,3,2,1] => [4,6,5,1,2,3] => 8
[6,1,2,4,3,5] => [1,2,4,3,5,6] => [6,5,3,4,2,1] => [3,4,5,6,1,2] => 8
[6,1,2,4,5,3] => [1,2,4,5,3,6] => [6,3,5,4,2,1] => [3,5,4,6,1,2] => 7
[6,1,2,5,3,4] => [1,2,5,3,4,6] => [6,4,3,5,2,1] => [3,4,6,5,1,2] => 7
[6,1,2,5,4,3] => [1,2,5,3,4,6] => [6,4,3,5,2,1] => [3,4,6,5,1,2] => 7
[6,1,3,2,4,5] => [1,3,2,4,5,6] => [6,5,4,2,3,1] => [4,5,6,2,1,3] => 8
[6,1,3,2,5,4] => [1,3,2,5,4,6] => [6,4,5,2,3,1] => [4,6,5,2,1,3] => 7
[6,1,3,4,2,5] => [1,3,4,2,5,6] => [6,5,2,4,3,1] => [4,5,1,6,2,3] => 8
[6,1,3,4,5,2] => [1,3,4,5,2,6] => [6,2,5,4,3,1] => [2,4,5,6,1,3] => 7
[6,1,3,5,2,4] => [1,3,5,2,4,6] => [6,4,2,5,3,1] => [4,6,1,5,2,3] => 7
[6,1,3,5,4,2] => [1,3,5,2,4,6] => [6,4,2,5,3,1] => [4,6,1,5,2,3] => 7
[6,1,4,2,3,5] => [1,4,2,3,5,6] => [6,5,3,2,4,1] => [3,5,6,1,2,4] => 8
[6,1,4,2,5,3] => [1,4,2,5,3,6] => [6,3,5,2,4,1] => [3,6,5,1,2,4] => 7
[6,1,4,3,2,5] => [1,4,2,5,3,6] => [6,3,5,2,4,1] => [3,6,5,1,2,4] => 7
[6,1,4,3,5,2] => [1,4,2,3,5,6] => [6,5,3,2,4,1] => [3,5,6,1,2,4] => 8
[6,1,4,5,2,3] => [1,4,5,2,3,6] => [6,3,2,5,4,1] => [3,5,1,6,2,4] => 7
[6,1,4,5,3,2] => [1,4,5,2,3,6] => [6,3,2,5,4,1] => [3,5,1,6,2,4] => 7
[6,1,5,2,3,4] => [1,5,2,3,4,6] => [6,4,3,2,5,1] => [3,4,5,1,6,2] => 7
[6,1,5,2,4,3] => [1,5,2,4,3,6] => [6,3,4,2,5,1] => [3,5,4,1,6,2] => 6
[6,1,5,3,2,4] => [1,5,2,4,3,6] => [6,3,4,2,5,1] => [3,5,4,1,6,2] => 6
[6,1,5,3,4,2] => [1,5,2,3,4,6] => [6,4,3,2,5,1] => [3,4,5,1,6,2] => 7
[6,1,5,4,2,3] => [1,5,2,3,4,6] => [6,4,3,2,5,1] => [3,4,5,1,6,2] => 7
[6,1,5,4,3,2] => [1,5,2,3,4,6] => [6,4,3,2,5,1] => [3,4,5,1,6,2] => 7
[6,2,1,3,4,5] => [1,3,4,5,2,6] => [6,2,5,4,3,1] => [2,4,5,6,1,3] => 7
[6,2,1,3,5,4] => [1,3,5,2,4,6] => [6,4,2,5,3,1] => [4,6,1,5,2,3] => 7
[6,2,1,4,3,5] => [1,4,2,3,5,6] => [6,5,3,2,4,1] => [3,5,6,1,2,4] => 8
[6,2,1,4,5,3] => [1,4,5,2,3,6] => [6,3,2,5,4,1] => [3,5,1,6,2,4] => 7
[6,2,1,5,3,4] => [1,5,2,3,4,6] => [6,4,3,2,5,1] => [3,4,5,1,6,2] => 7
[6,2,1,5,4,3] => [1,5,2,3,4,6] => [6,4,3,2,5,1] => [3,4,5,1,6,2] => 7
[6,2,3,1,4,5] => [1,4,5,2,3,6] => [6,3,2,5,4,1] => [3,5,1,6,2,4] => 7
[6,2,3,1,5,4] => [1,5,2,3,4,6] => [6,4,3,2,5,1] => [3,4,5,1,6,2] => 7
[6,2,3,4,1,5] => [1,5,2,3,4,6] => [6,4,3,2,5,1] => [3,4,5,1,6,2] => 7
[6,2,3,4,5,1] => [1,2,3,4,5,6] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => 9
[6,2,3,5,1,4] => [1,4,2,3,5,6] => [6,5,3,2,4,1] => [3,5,6,1,2,4] => 8
[6,2,3,5,4,1] => [1,2,3,5,4,6] => [6,4,5,3,2,1] => [4,6,5,1,2,3] => 8
[6,2,4,1,3,5] => [1,3,5,2,4,6] => [6,4,2,5,3,1] => [4,6,1,5,2,3] => 7
[6,2,4,1,5,3] => [1,5,2,4,3,6] => [6,3,4,2,5,1] => [3,5,4,1,6,2] => 6
[6,2,4,3,1,5] => [1,5,2,4,3,6] => [6,3,4,2,5,1] => [3,5,4,1,6,2] => 6
[6,2,4,3,5,1] => [1,2,4,3,5,6] => [6,5,3,4,2,1] => [3,4,5,6,1,2] => 8
[6,2,4,5,1,3] => [1,3,2,4,5,6] => [6,5,4,2,3,1] => [4,5,6,2,1,3] => 8
[6,2,4,5,3,1] => [1,2,4,5,3,6] => [6,3,5,4,2,1] => [3,5,4,6,1,2] => 7
[6,2,5,1,3,4] => [1,3,4,2,5,6] => [6,5,2,4,3,1] => [4,5,1,6,2,3] => 8
[6,2,5,1,4,3] => [1,4,2,5,3,6] => [6,3,5,2,4,1] => [3,6,5,1,2,4] => 7
[6,2,5,3,1,4] => [1,4,2,5,3,6] => [6,3,5,2,4,1] => [3,6,5,1,2,4] => 7
[6,2,5,3,4,1] => [1,2,5,3,4,6] => [6,4,3,5,2,1] => [3,4,6,5,1,2] => 7
[6,2,5,4,1,3] => [1,3,2,5,4,6] => [6,4,5,2,3,1] => [4,6,5,2,1,3] => 7
[6,2,5,4,3,1] => [1,2,5,3,4,6] => [6,4,3,5,2,1] => [3,4,6,5,1,2] => 7
[6,3,1,2,4,5] => [1,2,4,5,3,6] => [6,3,5,4,2,1] => [3,5,4,6,1,2] => 7
[6,3,1,2,5,4] => [1,2,5,3,4,6] => [6,4,3,5,2,1] => [3,4,6,5,1,2] => 7
[6,3,1,4,2,5] => [1,4,2,5,3,6] => [6,3,5,2,4,1] => [3,6,5,1,2,4] => 7
[6,3,1,4,5,2] => [1,4,5,2,3,6] => [6,3,2,5,4,1] => [3,5,1,6,2,4] => 7
[6,3,1,5,2,4] => [1,5,2,4,3,6] => [6,3,4,2,5,1] => [3,5,4,1,6,2] => 6
[6,3,1,5,4,2] => [1,5,2,3,4,6] => [6,4,3,2,5,1] => [3,4,5,1,6,2] => 7
[6,3,2,1,4,5] => [1,4,5,2,3,6] => [6,3,2,5,4,1] => [3,5,1,6,2,4] => 7
[6,3,2,1,5,4] => [1,5,2,3,4,6] => [6,4,3,2,5,1] => [3,4,5,1,6,2] => 7
[6,3,2,4,1,5] => [1,5,2,4,3,6] => [6,3,4,2,5,1] => [3,5,4,1,6,2] => 6
[6,3,2,4,5,1] => [1,2,4,5,3,6] => [6,3,5,4,2,1] => [3,5,4,6,1,2] => 7
[6,3,2,5,1,4] => [1,4,2,5,3,6] => [6,3,5,2,4,1] => [3,6,5,1,2,4] => 7
[6,3,2,5,4,1] => [1,2,5,3,4,6] => [6,4,3,5,2,1] => [3,4,6,5,1,2] => 7
[6,3,4,1,2,5] => [1,2,5,3,4,6] => [6,4,3,5,2,1] => [3,4,6,5,1,2] => 7
[6,3,4,1,5,2] => [1,5,2,3,4,6] => [6,4,3,2,5,1] => [3,4,5,1,6,2] => 7
[6,3,4,2,1,5] => [1,5,2,3,4,6] => [6,4,3,2,5,1] => [3,4,5,1,6,2] => 7
[6,3,4,2,5,1] => [1,2,5,3,4,6] => [6,4,3,5,2,1] => [3,4,6,5,1,2] => 7
[6,3,4,5,1,2] => [1,2,3,4,5,6] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => 9
[6,3,4,5,2,1] => [1,2,3,4,5,6] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => 9
[6,3,5,1,2,4] => [1,2,4,3,5,6] => [6,5,3,4,2,1] => [3,4,5,6,1,2] => 8
[6,3,5,1,4,2] => [1,4,2,3,5,6] => [6,5,3,2,4,1] => [3,5,6,1,2,4] => 8
[6,3,5,2,1,4] => [1,4,2,3,5,6] => [6,5,3,2,4,1] => [3,5,6,1,2,4] => 8
[6,3,5,2,4,1] => [1,2,4,3,5,6] => [6,5,3,4,2,1] => [3,4,5,6,1,2] => 8
[6,3,5,4,1,2] => [1,2,3,5,4,6] => [6,4,5,3,2,1] => [4,6,5,1,2,3] => 8
[6,3,5,4,2,1] => [1,2,3,5,4,6] => [6,4,5,3,2,1] => [4,6,5,1,2,3] => 8
[6,4,1,2,3,5] => [1,2,3,5,4,6] => [6,4,5,3,2,1] => [4,6,5,1,2,3] => 8
[6,4,1,2,5,3] => [1,2,5,3,4,6] => [6,4,3,5,2,1] => [3,4,6,5,1,2] => 7
[6,4,1,3,2,5] => [1,3,2,5,4,6] => [6,4,5,2,3,1] => [4,6,5,2,1,3] => 7
[6,4,1,3,5,2] => [1,3,5,2,4,6] => [6,4,2,5,3,1] => [4,6,1,5,2,3] => 7
[6,4,1,5,2,3] => [1,5,2,3,4,6] => [6,4,3,2,5,1] => [3,4,5,1,6,2] => 7
[6,4,1,5,3,2] => [1,5,2,3,4,6] => [6,4,3,2,5,1] => [3,4,5,1,6,2] => 7
[6,4,2,1,3,5] => [1,3,5,2,4,6] => [6,4,2,5,3,1] => [4,6,1,5,2,3] => 7
[6,4,2,1,5,3] => [1,5,2,3,4,6] => [6,4,3,2,5,1] => [3,4,5,1,6,2] => 7
[6,4,2,3,1,5] => [1,5,2,3,4,6] => [6,4,3,2,5,1] => [3,4,5,1,6,2] => 7
[6,4,2,3,5,1] => [1,2,3,5,4,6] => [6,4,5,3,2,1] => [4,6,5,1,2,3] => 8
[6,4,2,5,1,3] => [1,3,2,5,4,6] => [6,4,5,2,3,1] => [4,6,5,2,1,3] => 7
[6,4,2,5,3,1] => [1,2,5,3,4,6] => [6,4,3,5,2,1] => [3,4,6,5,1,2] => 7
[6,4,3,1,2,5] => [1,2,5,3,4,6] => [6,4,3,5,2,1] => [3,4,6,5,1,2] => 7
[6,4,3,1,5,2] => [1,5,2,3,4,6] => [6,4,3,2,5,1] => [3,4,5,1,6,2] => 7
[6,4,3,2,1,5] => [1,5,2,3,4,6] => [6,4,3,2,5,1] => [3,4,5,1,6,2] => 7
[6,4,3,2,5,1] => [1,2,5,3,4,6] => [6,4,3,5,2,1] => [3,4,6,5,1,2] => 7
[6,4,3,5,1,2] => [1,2,3,5,4,6] => [6,4,5,3,2,1] => [4,6,5,1,2,3] => 8
[6,4,3,5,2,1] => [1,2,3,5,4,6] => [6,4,5,3,2,1] => [4,6,5,1,2,3] => 8
[6,4,5,1,2,3] => [1,2,3,4,5,6] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => 9
[6,4,5,1,3,2] => [1,3,2,4,5,6] => [6,5,4,2,3,1] => [4,5,6,2,1,3] => 8
[6,4,5,2,1,3] => [1,3,2,4,5,6] => [6,5,4,2,3,1] => [4,5,6,2,1,3] => 8
[6,4,5,2,3,1] => [1,2,3,4,5,6] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => 9
[6,4,5,3,1,2] => [1,2,3,4,5,6] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => 9
[6,4,5,3,2,1] => [1,2,3,4,5,6] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => 9
[6,5,1,2,3,4] => [1,2,3,4,5,6] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => 9
[6,5,1,2,4,3] => [1,2,4,3,5,6] => [6,5,3,4,2,1] => [3,4,5,6,1,2] => 8
[6,5,1,3,2,4] => [1,3,2,4,5,6] => [6,5,4,2,3,1] => [4,5,6,2,1,3] => 8
[6,5,1,3,4,2] => [1,3,4,2,5,6] => [6,5,2,4,3,1] => [4,5,1,6,2,3] => 8
[6,5,1,4,2,3] => [1,4,2,3,5,6] => [6,5,3,2,4,1] => [3,5,6,1,2,4] => 8
[6,5,1,4,3,2] => [1,4,2,3,5,6] => [6,5,3,2,4,1] => [3,5,6,1,2,4] => 8
[6,5,2,1,3,4] => [1,3,4,2,5,6] => [6,5,2,4,3,1] => [4,5,1,6,2,3] => 8
[6,5,2,1,4,3] => [1,4,2,3,5,6] => [6,5,3,2,4,1] => [3,5,6,1,2,4] => 8
[6,5,2,3,1,4] => [1,4,2,3,5,6] => [6,5,3,2,4,1] => [3,5,6,1,2,4] => 8
[6,5,2,3,4,1] => [1,2,3,4,5,6] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => 9
[6,5,2,4,1,3] => [1,3,2,4,5,6] => [6,5,4,2,3,1] => [4,5,6,2,1,3] => 8
[6,5,2,4,3,1] => [1,2,4,3,5,6] => [6,5,3,4,2,1] => [3,4,5,6,1,2] => 8
[6,5,3,1,2,4] => [1,2,4,3,5,6] => [6,5,3,4,2,1] => [3,4,5,6,1,2] => 8
[6,5,3,1,4,2] => [1,4,2,3,5,6] => [6,5,3,2,4,1] => [3,5,6,1,2,4] => 8
[6,5,3,2,1,4] => [1,4,2,3,5,6] => [6,5,3,2,4,1] => [3,5,6,1,2,4] => 8
[6,5,3,2,4,1] => [1,2,4,3,5,6] => [6,5,3,4,2,1] => [3,4,5,6,1,2] => 8
[6,5,3,4,1,2] => [1,2,3,4,5,6] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => 9
[6,5,3,4,2,1] => [1,2,3,4,5,6] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => 9
[6,5,4,1,2,3] => [1,2,3,4,5,6] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => 9
[6,5,4,1,3,2] => [1,3,2,4,5,6] => [6,5,4,2,3,1] => [4,5,6,2,1,3] => 8
[6,5,4,2,1,3] => [1,3,2,4,5,6] => [6,5,4,2,3,1] => [4,5,6,2,1,3] => 8
[6,5,4,2,3,1] => [1,2,3,4,5,6] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => 9
[6,5,4,3,1,2] => [1,2,3,4,5,6] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => 9
[6,5,4,3,2,1] => [1,2,3,4,5,6] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => 9
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Description
The reduced reflection length of the permutation.
Let $T$ be the set of reflections in a Coxeter group and let $\ell(w)$ be the usual length function. Then the reduced reflection length of $w$ is
$$\min\{r\in\mathbb N \mid w = t_1\cdots t_r,\quad t_1,\dots,t_r \in T,\quad \ell(w)=\sum \ell(t_i)\}.$$
In the case of the symmetric group, this is twice the depth St000029The depth of a permutation. minus the usual length St000018The number of inversions of a permutation..
Map
Corteel
Description
Corteel's map interchanging the number of crossings and the number of nestings of a permutation.
This involution creates a labelled bicoloured Motzkin path, using the Foata-Zeilberger map. In the corresponding bump diagram, each label records the number of arcs nesting the given arc. Then each label is replaced by its complement, and the inverse of the Foata-Zeilberger map is applied.
Map
runsort
Description
The permutation obtained by sorting the increasing runs lexicographically.
Map
reverse
Description
Sends a permutation to its reverse.
The reverse of a permutation $\sigma$ of length $n$ is given by $\tau$ with $\tau(i) = \sigma(n+1-i)$.