Identifier
Values
[1] => [1] => [1] => 0
[1,2] => [1,2] => [1,2] => 0
[2,1] => [2,1] => [2,1] => 0
[1,2,3] => [1,2,3] => [1,2,3] => 0
[1,3,2] => [1,3,2] => [2,3,1] => 0
[2,1,3] => [2,1,3] => [2,1,3] => 0
[2,3,1] => [2,3,1] => [3,1,2] => 0
[3,1,2] => [2,3,1] => [3,1,2] => 0
[3,2,1] => [3,2,1] => [3,2,1] => 1
[1,2,3,4] => [1,2,3,4] => [1,2,3,4] => 0
[1,2,4,3] => [1,2,4,3] => [2,3,4,1] => 0
[1,3,2,4] => [1,3,2,4] => [2,3,1,4] => 0
[1,3,4,2] => [1,3,4,2] => [2,4,1,3] => 0
[1,4,2,3] => [1,3,4,2] => [2,4,1,3] => 0
[1,4,3,2] => [1,4,3,2] => [3,4,2,1] => 1
[2,1,3,4] => [2,1,3,4] => [2,1,3,4] => 0
[2,1,4,3] => [2,1,4,3] => [3,2,4,1] => 1
[2,3,1,4] => [2,3,1,4] => [3,1,2,4] => 0
[2,3,4,1] => [2,3,4,1] => [4,1,2,3] => 0
[2,4,1,3] => [4,3,1,2] => [1,4,3,2] => 1
[2,4,3,1] => [2,4,3,1] => [4,2,3,1] => 2
[3,1,2,4] => [2,3,1,4] => [3,1,2,4] => 0
[3,1,4,2] => [2,3,4,1] => [4,1,2,3] => 0
[3,2,1,4] => [3,2,1,4] => [3,2,1,4] => 1
[3,2,4,1] => [3,2,4,1] => [4,2,1,3] => 1
[3,4,1,2] => [4,3,2,1] => [4,3,2,1] => 3
[3,4,2,1] => [3,4,2,1] => [4,3,1,2] => 2
[4,1,2,3] => [2,3,4,1] => [4,1,2,3] => 0
[4,1,3,2] => [2,4,3,1] => [4,2,3,1] => 2
[4,2,1,3] => [3,2,4,1] => [4,2,1,3] => 1
[4,2,3,1] => [3,4,2,1] => [4,3,1,2] => 2
[4,3,1,2] => [3,4,2,1] => [4,3,1,2] => 2
[4,3,2,1] => [4,3,2,1] => [4,3,2,1] => 3
[1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[1,2,3,5,4] => [1,2,3,5,4] => [2,3,4,5,1] => 0
[1,2,4,3,5] => [1,2,4,3,5] => [2,3,4,1,5] => 0
[1,2,4,5,3] => [1,2,4,5,3] => [2,3,5,1,4] => 0
[1,2,5,3,4] => [1,2,4,5,3] => [2,3,5,1,4] => 0
[1,2,5,4,3] => [1,2,5,4,3] => [3,4,5,2,1] => 1
[1,3,2,4,5] => [1,3,2,4,5] => [2,3,1,4,5] => 0
[1,3,2,5,4] => [1,3,2,5,4] => [3,4,2,5,1] => 1
[1,3,4,2,5] => [1,3,4,2,5] => [2,4,1,3,5] => 0
[1,3,4,5,2] => [1,3,4,5,2] => [2,5,1,3,4] => 0
[1,3,5,2,4] => [1,5,4,2,3] => [3,1,5,4,2] => 1
[1,3,5,4,2] => [1,3,5,4,2] => [3,5,2,4,1] => 2
[1,4,2,3,5] => [1,3,4,2,5] => [2,4,1,3,5] => 0
[1,4,2,5,3] => [1,3,4,5,2] => [2,5,1,3,4] => 0
[1,4,3,2,5] => [1,4,3,2,5] => [3,4,2,1,5] => 1
[1,4,3,5,2] => [1,4,3,5,2] => [3,5,2,1,4] => 1
[1,4,5,2,3] => [1,5,4,3,2] => [4,5,3,2,1] => 3
[1,4,5,3,2] => [1,4,5,3,2] => [3,5,4,1,2] => 2
[1,5,2,3,4] => [1,3,4,5,2] => [2,5,1,3,4] => 0
[1,5,2,4,3] => [1,3,5,4,2] => [3,5,2,4,1] => 2
[1,5,3,2,4] => [1,4,3,5,2] => [3,5,2,1,4] => 1
[1,5,3,4,2] => [1,4,5,3,2] => [3,5,4,1,2] => 2
[1,5,4,2,3] => [1,4,5,3,2] => [3,5,4,1,2] => 2
[1,5,4,3,2] => [1,5,4,3,2] => [4,5,3,2,1] => 3
[2,1,3,4,5] => [2,1,3,4,5] => [2,1,3,4,5] => 0
[2,1,3,5,4] => [2,1,3,5,4] => [3,2,4,5,1] => 1
[2,1,4,3,5] => [2,1,4,3,5] => [3,2,4,1,5] => 1
[2,1,4,5,3] => [2,1,4,5,3] => [3,2,5,1,4] => 1
[2,1,5,3,4] => [2,1,4,5,3] => [3,2,5,1,4] => 1
[2,1,5,4,3] => [2,1,5,4,3] => [4,3,5,2,1] => 3
[2,3,1,4,5] => [2,3,1,4,5] => [3,1,2,4,5] => 0
[2,3,1,5,4] => [2,3,1,5,4] => [4,2,3,5,1] => 2
[2,3,4,1,5] => [2,3,4,1,5] => [4,1,2,3,5] => 0
[2,3,4,5,1] => [2,3,4,5,1] => [5,1,2,3,4] => 0
[2,3,5,1,4] => [2,5,4,1,3] => [1,4,5,3,2] => 1
[2,3,5,4,1] => [2,3,5,4,1] => [5,2,3,4,1] => 3
[2,4,1,3,5] => [4,3,1,2,5] => [1,4,3,2,5] => 1
[2,4,1,5,3] => [4,3,1,5,2] => [4,5,2,1,3] => 1
[2,4,3,1,5] => [2,4,3,1,5] => [4,2,3,1,5] => 2
[2,4,3,5,1] => [2,4,3,5,1] => [5,2,3,1,4] => 2
[2,4,5,1,3] => [3,5,4,1,2] => [1,5,3,4,2] => 2
[2,4,5,3,1] => [2,4,5,3,1] => [5,2,4,1,3] => 3
[2,5,1,3,4] => [4,3,1,5,2] => [4,5,2,1,3] => 1
[2,5,1,4,3] => [5,3,1,4,2] => [4,5,1,3,2] => 1
[2,5,3,1,4] => [5,4,3,1,2] => [1,5,4,3,2] => 3
[2,5,3,4,1] => [2,4,5,3,1] => [5,2,4,1,3] => 3
[2,5,4,1,3] => [3,4,5,1,2] => [1,5,2,3,4] => 0
[2,5,4,3,1] => [2,5,4,3,1] => [5,3,4,2,1] => 5
[3,1,2,4,5] => [2,3,1,4,5] => [3,1,2,4,5] => 0
[3,1,2,5,4] => [2,3,1,5,4] => [4,2,3,5,1] => 2
[3,1,4,2,5] => [2,3,4,1,5] => [4,1,2,3,5] => 0
[3,1,4,5,2] => [2,3,4,5,1] => [5,1,2,3,4] => 0
[3,1,5,2,4] => [2,5,4,1,3] => [1,4,5,3,2] => 1
[3,1,5,4,2] => [2,3,5,4,1] => [5,2,3,4,1] => 3
[3,2,1,4,5] => [3,2,1,4,5] => [3,2,1,4,5] => 1
[3,2,1,5,4] => [3,2,1,5,4] => [4,3,2,5,1] => 3
[3,2,4,1,5] => [3,2,4,1,5] => [4,2,1,3,5] => 1
[3,2,4,5,1] => [3,2,4,5,1] => [5,2,1,3,4] => 1
[3,2,5,1,4] => [5,2,4,1,3] => [1,3,5,4,2] => 1
[3,2,5,4,1] => [3,2,5,4,1] => [5,3,2,4,1] => 4
[3,4,1,2,5] => [4,3,2,1,5] => [4,3,2,1,5] => 3
[3,4,1,5,2] => [4,3,2,5,1] => [5,3,2,1,4] => 3
[3,4,2,1,5] => [3,4,2,1,5] => [4,3,1,2,5] => 2
[3,4,2,5,1] => [3,4,2,5,1] => [5,3,1,2,4] => 2
[3,4,5,1,2] => [3,5,4,2,1] => [5,4,2,3,1] => 5
[3,4,5,2,1] => [3,4,5,2,1] => [5,4,1,2,3] => 3
[3,5,1,2,4] => [4,3,5,1,2] => [1,5,3,2,4] => 1
[3,5,1,4,2] => [5,3,2,4,1] => [5,3,1,4,2] => 3
>>> Load all 1396 entries. <<<
[3,5,2,1,4] => [3,4,5,1,2] => [1,5,2,3,4] => 0
[3,5,2,4,1] => [5,4,2,3,1] => [5,1,4,3,2] => 3
[3,5,4,1,2] => [3,4,5,2,1] => [5,4,1,2,3] => 3
[3,5,4,2,1] => [3,5,4,2,1] => [5,4,2,3,1] => 5
[4,1,2,3,5] => [2,3,4,1,5] => [4,1,2,3,5] => 0
[4,1,2,5,3] => [2,3,4,5,1] => [5,1,2,3,4] => 0
[4,1,3,2,5] => [2,4,3,1,5] => [4,2,3,1,5] => 2
[4,1,3,5,2] => [2,4,3,5,1] => [5,2,3,1,4] => 2
[4,1,5,2,3] => [2,5,4,3,1] => [5,3,4,2,1] => 5
[4,1,5,3,2] => [2,4,5,3,1] => [5,2,4,1,3] => 3
[4,2,1,3,5] => [3,2,4,1,5] => [4,2,1,3,5] => 1
[4,2,1,5,3] => [3,2,4,5,1] => [5,2,1,3,4] => 1
[4,2,3,1,5] => [3,4,2,1,5] => [4,3,1,2,5] => 2
[4,2,3,5,1] => [3,4,2,5,1] => [5,3,1,2,4] => 2
[4,2,5,1,3] => [5,2,4,3,1] => [5,2,4,3,1] => 4
[4,2,5,3,1] => [3,4,5,2,1] => [5,4,1,2,3] => 3
[4,3,1,2,5] => [3,4,2,1,5] => [4,3,1,2,5] => 2
[4,3,1,5,2] => [3,4,2,5,1] => [5,3,1,2,4] => 2
[4,3,2,1,5] => [4,3,2,1,5] => [4,3,2,1,5] => 3
[4,3,2,5,1] => [4,3,2,5,1] => [5,3,2,1,4] => 3
[4,3,5,1,2] => [5,3,4,2,1] => [5,4,1,3,2] => 4
[4,3,5,2,1] => [4,3,5,2,1] => [5,4,2,1,3] => 4
[4,5,1,2,3] => [4,3,5,2,1] => [5,4,2,1,3] => 4
[4,5,1,3,2] => [5,3,4,2,1] => [5,4,1,3,2] => 4
[4,5,2,1,3] => [3,4,5,2,1] => [5,4,1,2,3] => 3
[4,5,2,3,1] => [5,4,3,2,1] => [5,4,3,2,1] => 6
[4,5,3,1,2] => [5,4,3,2,1] => [5,4,3,2,1] => 6
[4,5,3,2,1] => [4,5,3,2,1] => [5,4,3,1,2] => 5
[5,1,2,3,4] => [2,3,4,5,1] => [5,1,2,3,4] => 0
[5,1,2,4,3] => [2,3,5,4,1] => [5,2,3,4,1] => 3
[5,1,3,2,4] => [2,4,3,5,1] => [5,2,3,1,4] => 2
[5,1,3,4,2] => [2,4,5,3,1] => [5,2,4,1,3] => 3
[5,1,4,2,3] => [2,4,5,3,1] => [5,2,4,1,3] => 3
[5,1,4,3,2] => [2,5,4,3,1] => [5,3,4,2,1] => 5
[5,2,1,3,4] => [3,2,4,5,1] => [5,2,1,3,4] => 1
[5,2,1,4,3] => [3,2,5,4,1] => [5,3,2,4,1] => 4
[5,2,3,1,4] => [3,4,2,5,1] => [5,3,1,2,4] => 2
[5,2,3,4,1] => [3,4,5,2,1] => [5,4,1,2,3] => 3
[5,2,4,1,3] => [5,4,2,3,1] => [5,1,4,3,2] => 3
[5,2,4,3,1] => [3,5,4,2,1] => [5,4,2,3,1] => 5
[5,3,1,2,4] => [3,4,2,5,1] => [5,3,1,2,4] => 2
[5,3,1,4,2] => [3,4,5,2,1] => [5,4,1,2,3] => 3
[5,3,2,1,4] => [4,3,2,5,1] => [5,3,2,1,4] => 3
[5,3,2,4,1] => [4,3,5,2,1] => [5,4,2,1,3] => 4
[5,3,4,1,2] => [5,4,3,2,1] => [5,4,3,2,1] => 6
[5,3,4,2,1] => [4,5,3,2,1] => [5,4,3,1,2] => 5
[5,4,1,2,3] => [3,4,5,2,1] => [5,4,1,2,3] => 3
[5,4,1,3,2] => [3,5,4,2,1] => [5,4,2,3,1] => 5
[5,4,2,1,3] => [4,3,5,2,1] => [5,4,2,1,3] => 4
[5,4,2,3,1] => [4,5,3,2,1] => [5,4,3,1,2] => 5
[5,4,3,1,2] => [4,5,3,2,1] => [5,4,3,1,2] => 5
[5,4,3,2,1] => [5,4,3,2,1] => [5,4,3,2,1] => 6
[1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => 0
[1,2,3,4,6,5] => [1,2,3,4,6,5] => [2,3,4,5,6,1] => 0
[1,2,3,5,4,6] => [1,2,3,5,4,6] => [2,3,4,5,1,6] => 0
[1,2,3,5,6,4] => [1,2,3,5,6,4] => [2,3,4,6,1,5] => 0
[1,2,3,6,4,5] => [1,2,3,5,6,4] => [2,3,4,6,1,5] => 0
[1,2,3,6,5,4] => [1,2,3,6,5,4] => [3,4,5,6,2,1] => 1
[1,2,4,3,5,6] => [1,2,4,3,5,6] => [2,3,4,1,5,6] => 0
[1,2,4,3,6,5] => [1,2,4,3,6,5] => [3,4,5,2,6,1] => 1
[1,2,4,5,3,6] => [1,2,4,5,3,6] => [2,3,5,1,4,6] => 0
[1,2,4,5,6,3] => [1,2,4,5,6,3] => [2,3,6,1,4,5] => 0
[1,2,4,6,3,5] => [1,2,6,5,3,4] => [3,4,1,6,5,2] => 1
[1,2,4,6,5,3] => [1,2,4,6,5,3] => [3,4,6,2,5,1] => 2
[1,2,5,3,4,6] => [1,2,4,5,3,6] => [2,3,5,1,4,6] => 0
[1,2,5,3,6,4] => [1,2,4,5,6,3] => [2,3,6,1,4,5] => 0
[1,2,5,4,3,6] => [1,2,5,4,3,6] => [3,4,5,2,1,6] => 1
[1,2,5,4,6,3] => [1,2,5,4,6,3] => [3,4,6,2,1,5] => 1
[1,2,5,6,3,4] => [1,2,6,5,4,3] => [4,5,6,3,2,1] => 3
[1,2,5,6,4,3] => [1,2,5,6,4,3] => [3,4,6,5,1,2] => 2
[1,2,6,3,4,5] => [1,2,4,5,6,3] => [2,3,6,1,4,5] => 0
[1,2,6,3,5,4] => [1,2,4,6,5,3] => [3,4,6,2,5,1] => 2
[1,2,6,4,3,5] => [1,2,5,4,6,3] => [3,4,6,2,1,5] => 1
[1,2,6,4,5,3] => [1,2,5,6,4,3] => [3,4,6,5,1,2] => 2
[1,2,6,5,3,4] => [1,2,5,6,4,3] => [3,4,6,5,1,2] => 2
[1,2,6,5,4,3] => [1,2,6,5,4,3] => [4,5,6,3,2,1] => 3
[1,3,2,4,5,6] => [1,3,2,4,5,6] => [2,3,1,4,5,6] => 0
[1,3,2,4,6,5] => [1,3,2,4,6,5] => [3,4,2,5,6,1] => 1
[1,3,2,5,4,6] => [1,3,2,5,4,6] => [3,4,2,5,1,6] => 1
[1,3,2,5,6,4] => [1,3,2,5,6,4] => [3,4,2,6,1,5] => 1
[1,3,2,6,4,5] => [1,3,2,5,6,4] => [3,4,2,6,1,5] => 1
[1,3,2,6,5,4] => [1,3,2,6,5,4] => [4,5,3,6,2,1] => 3
[1,3,4,2,5,6] => [1,3,4,2,5,6] => [2,4,1,3,5,6] => 0
[1,3,4,2,6,5] => [1,3,4,2,6,5] => [3,5,2,4,6,1] => 2
[1,3,4,5,2,6] => [1,3,4,5,2,6] => [2,5,1,3,4,6] => 0
[1,3,4,5,6,2] => [1,3,4,5,6,2] => [2,6,1,3,4,5] => 0
[1,3,4,6,2,5] => [1,3,6,5,2,4] => [3,1,5,6,4,2] => 1
[1,3,4,6,5,2] => [1,3,4,6,5,2] => [3,6,2,4,5,1] => 3
[1,3,5,2,4,6] => [1,5,4,2,3,6] => [3,1,5,4,2,6] => 1
[1,3,5,2,6,4] => [1,5,4,2,6,3] => [4,5,6,2,1,3] => 1
[1,3,5,4,2,6] => [1,3,5,4,2,6] => [3,5,2,4,1,6] => 2
[1,3,5,4,6,2] => [1,3,5,4,6,2] => [3,6,2,4,1,5] => 2
[1,3,5,6,2,4] => [1,4,6,5,2,3] => [3,1,6,4,5,2] => 2
[1,3,5,6,4,2] => [1,3,5,6,4,2] => [3,6,2,5,1,4] => 3
[1,3,6,2,4,5] => [1,5,4,2,6,3] => [4,5,6,2,1,3] => 1
[1,3,6,2,5,4] => [1,6,4,2,5,3] => [4,5,6,1,3,2] => 1
[1,3,6,4,2,5] => [1,6,5,4,2,3] => [4,1,6,5,3,2] => 3
[1,3,6,4,5,2] => [1,3,5,6,4,2] => [3,6,2,5,1,4] => 3
[1,3,6,5,2,4] => [1,4,5,6,2,3] => [2,1,6,3,4,5] => 0
[1,3,6,5,4,2] => [1,3,6,5,4,2] => [4,6,3,5,2,1] => 5
[1,4,2,3,5,6] => [1,3,4,2,5,6] => [2,4,1,3,5,6] => 0
[1,4,2,3,6,5] => [1,3,4,2,6,5] => [3,5,2,4,6,1] => 2
[1,4,2,5,3,6] => [1,3,4,5,2,6] => [2,5,1,3,4,6] => 0
[1,4,2,5,6,3] => [1,3,4,5,6,2] => [2,6,1,3,4,5] => 0
[1,4,2,6,3,5] => [1,3,6,5,2,4] => [3,1,5,6,4,2] => 1
[1,4,2,6,5,3] => [1,3,4,6,5,2] => [3,6,2,4,5,1] => 3
[1,4,3,2,5,6] => [1,4,3,2,5,6] => [3,4,2,1,5,6] => 1
[1,4,3,2,6,5] => [1,4,3,2,6,5] => [4,5,3,2,6,1] => 3
[1,4,3,5,2,6] => [1,4,3,5,2,6] => [3,5,2,1,4,6] => 1
[1,4,3,5,6,2] => [1,4,3,5,6,2] => [3,6,2,1,4,5] => 1
[1,4,3,6,2,5] => [1,6,3,5,2,4] => [3,1,4,6,5,2] => 1
[1,4,3,6,5,2] => [1,4,3,6,5,2] => [4,6,3,2,5,1] => 4
[1,4,5,2,3,6] => [1,5,4,3,2,6] => [4,5,3,2,1,6] => 3
[1,4,5,2,6,3] => [1,5,4,3,6,2] => [4,6,3,2,1,5] => 3
[1,4,5,3,2,6] => [1,4,5,3,2,6] => [3,5,4,1,2,6] => 2
[1,4,5,3,6,2] => [1,4,5,3,6,2] => [3,6,4,1,2,5] => 2
[1,4,5,6,2,3] => [1,4,6,5,3,2] => [4,6,5,2,3,1] => 5
[1,4,5,6,3,2] => [1,4,5,6,3,2] => [3,6,5,1,2,4] => 3
[1,4,6,2,3,5] => [1,5,4,6,2,3] => [3,1,6,4,2,5] => 1
[1,4,6,2,5,3] => [1,6,4,3,5,2] => [4,6,3,1,5,2] => 3
[1,4,6,3,2,5] => [1,4,5,6,2,3] => [2,1,6,3,4,5] => 0
[1,4,6,3,5,2] => [1,6,5,3,4,2] => [4,6,1,5,3,2] => 3
[1,4,6,5,2,3] => [1,4,5,6,3,2] => [3,6,5,1,2,4] => 3
[1,4,6,5,3,2] => [1,4,6,5,3,2] => [4,6,5,2,3,1] => 5
[1,5,2,3,4,6] => [1,3,4,5,2,6] => [2,5,1,3,4,6] => 0
[1,5,2,3,6,4] => [1,3,4,5,6,2] => [2,6,1,3,4,5] => 0
[1,5,2,4,3,6] => [1,3,5,4,2,6] => [3,5,2,4,1,6] => 2
[1,5,2,4,6,3] => [1,3,5,4,6,2] => [3,6,2,4,1,5] => 2
[1,5,2,6,3,4] => [1,3,6,5,4,2] => [4,6,3,5,2,1] => 5
[1,5,2,6,4,3] => [1,3,5,6,4,2] => [3,6,2,5,1,4] => 3
[1,5,3,2,4,6] => [1,4,3,5,2,6] => [3,5,2,1,4,6] => 1
[1,5,3,2,6,4] => [1,4,3,5,6,2] => [3,6,2,1,4,5] => 1
[1,5,3,4,2,6] => [1,4,5,3,2,6] => [3,5,4,1,2,6] => 2
[1,5,3,4,6,2] => [1,4,5,3,6,2] => [3,6,4,1,2,5] => 2
[1,5,3,6,2,4] => [1,6,3,5,4,2] => [4,6,2,5,3,1] => 4
[1,5,3,6,4,2] => [1,4,5,6,3,2] => [3,6,5,1,2,4] => 3
[1,5,4,2,3,6] => [1,4,5,3,2,6] => [3,5,4,1,2,6] => 2
[1,5,4,2,6,3] => [1,4,5,3,6,2] => [3,6,4,1,2,5] => 2
[1,5,4,3,2,6] => [1,5,4,3,2,6] => [4,5,3,2,1,6] => 3
[1,5,4,3,6,2] => [1,5,4,3,6,2] => [4,6,3,2,1,5] => 3
[1,5,4,6,2,3] => [1,6,4,5,3,2] => [4,6,5,1,3,2] => 4
[1,5,4,6,3,2] => [1,5,4,6,3,2] => [4,6,5,2,1,3] => 4
[1,5,6,2,3,4] => [1,5,4,6,3,2] => [4,6,5,2,1,3] => 4
[1,5,6,2,4,3] => [1,6,4,5,3,2] => [4,6,5,1,3,2] => 4
[1,5,6,3,2,4] => [1,4,5,6,3,2] => [3,6,5,1,2,4] => 3
[1,5,6,3,4,2] => [1,6,5,4,3,2] => [5,6,4,3,2,1] => 6
[1,5,6,4,2,3] => [1,6,5,4,3,2] => [5,6,4,3,2,1] => 6
[1,5,6,4,3,2] => [1,5,6,4,3,2] => [4,6,5,3,1,2] => 5
[1,6,2,3,4,5] => [1,3,4,5,6,2] => [2,6,1,3,4,5] => 0
[1,6,2,3,5,4] => [1,3,4,6,5,2] => [3,6,2,4,5,1] => 3
[1,6,2,4,3,5] => [1,3,5,4,6,2] => [3,6,2,4,1,5] => 2
[1,6,2,4,5,3] => [1,3,5,6,4,2] => [3,6,2,5,1,4] => 3
[1,6,2,5,3,4] => [1,3,5,6,4,2] => [3,6,2,5,1,4] => 3
[1,6,2,5,4,3] => [1,3,6,5,4,2] => [4,6,3,5,2,1] => 5
[1,6,3,2,4,5] => [1,4,3,5,6,2] => [3,6,2,1,4,5] => 1
[1,6,3,2,5,4] => [1,4,3,6,5,2] => [4,6,3,2,5,1] => 4
[1,6,3,4,2,5] => [1,4,5,3,6,2] => [3,6,4,1,2,5] => 2
[1,6,3,4,5,2] => [1,4,5,6,3,2] => [3,6,5,1,2,4] => 3
[1,6,3,5,2,4] => [1,6,5,3,4,2] => [4,6,1,5,3,2] => 3
[1,6,3,5,4,2] => [1,4,6,5,3,2] => [4,6,5,2,3,1] => 5
[1,6,4,2,3,5] => [1,4,5,3,6,2] => [3,6,4,1,2,5] => 2
[1,6,4,2,5,3] => [1,4,5,6,3,2] => [3,6,5,1,2,4] => 3
[1,6,4,3,2,5] => [1,5,4,3,6,2] => [4,6,3,2,1,5] => 3
[1,6,4,3,5,2] => [1,5,4,6,3,2] => [4,6,5,2,1,3] => 4
[1,6,4,5,2,3] => [1,6,5,4,3,2] => [5,6,4,3,2,1] => 6
[1,6,4,5,3,2] => [1,5,6,4,3,2] => [4,6,5,3,1,2] => 5
[1,6,5,2,3,4] => [1,4,5,6,3,2] => [3,6,5,1,2,4] => 3
[1,6,5,2,4,3] => [1,4,6,5,3,2] => [4,6,5,2,3,1] => 5
[1,6,5,3,2,4] => [1,5,4,6,3,2] => [4,6,5,2,1,3] => 4
[1,6,5,3,4,2] => [1,5,6,4,3,2] => [4,6,5,3,1,2] => 5
[1,6,5,4,2,3] => [1,5,6,4,3,2] => [4,6,5,3,1,2] => 5
[1,6,5,4,3,2] => [1,6,5,4,3,2] => [5,6,4,3,2,1] => 6
[2,1,3,4,5,6] => [2,1,3,4,5,6] => [2,1,3,4,5,6] => 0
[2,1,3,4,6,5] => [2,1,3,4,6,5] => [3,2,4,5,6,1] => 1
[2,1,3,5,4,6] => [2,1,3,5,4,6] => [3,2,4,5,1,6] => 1
[2,1,3,5,6,4] => [2,1,3,5,6,4] => [3,2,4,6,1,5] => 1
[2,1,3,6,4,5] => [2,1,3,5,6,4] => [3,2,4,6,1,5] => 1
[2,1,3,6,5,4] => [2,1,3,6,5,4] => [4,3,5,6,2,1] => 3
[2,1,4,3,5,6] => [2,1,4,3,5,6] => [3,2,4,1,5,6] => 1
[2,1,4,3,6,5] => [2,1,4,3,6,5] => [4,3,5,2,6,1] => 3
[2,1,4,5,3,6] => [2,1,4,5,3,6] => [3,2,5,1,4,6] => 1
[2,1,4,5,6,3] => [2,1,4,5,6,3] => [3,2,6,1,4,5] => 1
[2,1,4,6,3,5] => [2,1,6,5,3,4] => [4,3,1,6,5,2] => 3
[2,1,4,6,5,3] => [2,1,4,6,5,3] => [4,3,6,2,5,1] => 4
[2,1,5,3,4,6] => [2,1,4,5,3,6] => [3,2,5,1,4,6] => 1
[2,1,5,3,6,4] => [2,1,4,5,6,3] => [3,2,6,1,4,5] => 1
[2,1,5,4,3,6] => [2,1,5,4,3,6] => [4,3,5,2,1,6] => 3
[2,1,5,4,6,3] => [2,1,5,4,6,3] => [4,3,6,2,1,5] => 3
[2,1,5,6,3,4] => [2,1,6,5,4,3] => [5,4,6,3,2,1] => 6
[2,1,5,6,4,3] => [2,1,5,6,4,3] => [4,3,6,5,1,2] => 4
[2,1,6,3,4,5] => [2,1,4,5,6,3] => [3,2,6,1,4,5] => 1
[2,1,6,3,5,4] => [2,1,4,6,5,3] => [4,3,6,2,5,1] => 4
[2,1,6,4,3,5] => [2,1,5,4,6,3] => [4,3,6,2,1,5] => 3
[2,1,6,4,5,3] => [2,1,5,6,4,3] => [4,3,6,5,1,2] => 4
[2,1,6,5,3,4] => [2,1,5,6,4,3] => [4,3,6,5,1,2] => 4
[2,1,6,5,4,3] => [2,1,6,5,4,3] => [5,4,6,3,2,1] => 6
[2,3,1,4,5,6] => [2,3,1,4,5,6] => [3,1,2,4,5,6] => 0
[2,3,1,4,6,5] => [2,3,1,4,6,5] => [4,2,3,5,6,1] => 2
[2,3,1,5,4,6] => [2,3,1,5,4,6] => [4,2,3,5,1,6] => 2
[2,3,1,5,6,4] => [2,3,1,5,6,4] => [4,2,3,6,1,5] => 2
[2,3,1,6,4,5] => [2,3,1,5,6,4] => [4,2,3,6,1,5] => 2
[2,3,1,6,5,4] => [2,3,1,6,5,4] => [5,3,4,6,2,1] => 5
[2,3,4,1,5,6] => [2,3,4,1,5,6] => [4,1,2,3,5,6] => 0
[2,3,4,1,6,5] => [2,3,4,1,6,5] => [5,2,3,4,6,1] => 3
[2,3,4,5,1,6] => [2,3,4,5,1,6] => [5,1,2,3,4,6] => 0
[2,3,4,5,6,1] => [2,3,4,5,6,1] => [6,1,2,3,4,5] => 0
[2,3,4,6,1,5] => [2,3,6,5,1,4] => [1,4,5,6,3,2] => 1
[2,3,4,6,5,1] => [2,3,4,6,5,1] => [6,2,3,4,5,1] => 4
[2,3,5,1,4,6] => [2,5,4,1,3,6] => [1,4,5,3,2,6] => 1
[2,3,5,1,6,4] => [2,5,4,1,6,3] => [5,3,6,2,1,4] => 3
[2,3,5,4,1,6] => [2,3,5,4,1,6] => [5,2,3,4,1,6] => 3
[2,3,5,4,6,1] => [2,3,5,4,6,1] => [6,2,3,4,1,5] => 3
[2,3,5,6,1,4] => [2,4,6,5,1,3] => [1,4,6,3,5,2] => 2
[2,3,5,6,4,1] => [2,3,5,6,4,1] => [6,2,3,5,1,4] => 4
[2,3,6,1,4,5] => [2,5,4,1,6,3] => [5,3,6,2,1,4] => 3
[2,3,6,1,5,4] => [2,6,4,1,5,3] => [5,3,6,1,4,2] => 3
[2,3,6,4,1,5] => [2,6,5,4,1,3] => [1,5,6,4,3,2] => 3
[2,3,6,4,5,1] => [2,3,5,6,4,1] => [6,2,3,5,1,4] => 4
[2,3,6,5,1,4] => [2,4,5,6,1,3] => [1,3,6,2,4,5] => 0
[2,3,6,5,4,1] => [2,3,6,5,4,1] => [6,3,4,5,2,1] => 7
[2,4,1,3,5,6] => [4,3,1,2,5,6] => [1,4,3,2,5,6] => 1
[2,4,1,3,6,5] => [4,3,1,2,6,5] => [2,5,4,3,6,1] => 3
[2,4,1,5,3,6] => [4,3,1,5,2,6] => [4,5,2,1,3,6] => 1
[2,4,1,5,6,3] => [4,3,1,5,6,2] => [4,6,2,1,3,5] => 1
[2,4,1,6,3,5] => [6,3,1,5,2,4] => [4,1,3,6,5,2] => 2
[2,4,1,6,5,3] => [4,3,1,6,5,2] => [5,6,3,2,4,1] => 4
[2,4,3,1,5,6] => [2,4,3,1,5,6] => [4,2,3,1,5,6] => 2
[2,4,3,1,6,5] => [2,4,3,1,6,5] => [5,3,4,2,6,1] => 5
[2,4,3,5,1,6] => [2,4,3,5,1,6] => [5,2,3,1,4,6] => 2
[2,4,3,5,6,1] => [2,4,3,5,6,1] => [6,2,3,1,4,5] => 2
[2,4,3,6,1,5] => [2,6,3,5,1,4] => [1,4,3,6,5,2] => 2
[2,4,3,6,5,1] => [2,4,3,6,5,1] => [6,3,4,2,5,1] => 6
[2,4,5,1,3,6] => [3,5,4,1,2,6] => [1,5,3,4,2,6] => 2
[2,4,5,1,6,3] => [3,5,4,1,6,2] => [5,6,2,3,1,4] => 2
[2,4,5,3,1,6] => [2,4,5,3,1,6] => [5,2,4,1,3,6] => 3
[2,4,5,3,6,1] => [2,4,5,3,6,1] => [6,2,4,1,3,5] => 3
[2,4,5,6,1,3] => [3,4,6,5,1,2] => [1,6,3,4,5,2] => 3
[2,4,5,6,3,1] => [2,4,5,6,3,1] => [6,2,5,1,3,4] => 4
[2,4,6,1,3,5] => [6,5,4,1,2,3] => [1,2,6,5,4,3] => 3
[2,4,6,1,5,3] => [3,6,4,1,5,2] => [5,6,2,1,4,3] => 2
[2,4,6,3,1,5] => [2,4,5,6,1,3] => [1,3,6,2,4,5] => 0
[2,4,6,3,5,1] => [2,6,5,3,4,1] => [6,3,1,5,4,2] => 5
[2,4,6,5,1,3] => [3,4,5,6,1,2] => [1,6,2,3,4,5] => 0
[2,4,6,5,3,1] => [2,4,6,5,3,1] => [6,3,5,2,4,1] => 7
[2,5,1,3,4,6] => [4,3,1,5,2,6] => [4,5,2,1,3,6] => 1
[2,5,1,3,6,4] => [4,3,1,5,6,2] => [4,6,2,1,3,5] => 1
[2,5,1,4,3,6] => [5,3,1,4,2,6] => [4,5,1,3,2,6] => 1
[2,5,1,4,6,3] => [5,3,1,4,6,2] => [4,6,1,3,2,5] => 1
[2,5,1,6,3,4] => [6,3,1,5,4,2] => [5,6,2,4,3,1] => 4
[2,5,1,6,4,3] => [5,3,1,6,4,2] => [5,6,3,4,1,2] => 4
[2,5,3,1,4,6] => [5,4,3,1,2,6] => [1,5,4,3,2,6] => 3
[2,5,3,1,6,4] => [5,4,3,1,6,2] => [5,6,3,2,1,4] => 3
[2,5,3,4,1,6] => [2,4,5,3,1,6] => [5,2,4,1,3,6] => 3
[2,5,3,4,6,1] => [2,4,5,3,6,1] => [6,2,4,1,3,5] => 3
[2,5,3,6,1,4] => [4,6,3,5,1,2] => [1,6,2,4,5,3] => 2
[2,5,3,6,4,1] => [2,4,5,6,3,1] => [6,2,5,1,3,4] => 4
[2,5,4,1,3,6] => [3,4,5,1,2,6] => [1,5,2,3,4,6] => 0
[2,5,4,1,6,3] => [3,4,5,1,6,2] => [5,6,1,2,3,4] => 0
[2,5,4,3,1,6] => [2,5,4,3,1,6] => [5,3,4,2,1,6] => 5
[2,5,4,3,6,1] => [2,5,4,3,6,1] => [6,3,4,2,1,5] => 5
[2,5,4,6,1,3] => [3,6,4,5,1,2] => [1,6,3,2,5,4] => 2
[2,5,4,6,3,1] => [2,5,4,6,3,1] => [6,3,5,2,1,4] => 6
[2,5,6,1,3,4] => [6,5,4,1,3,2] => [2,6,5,4,3,1] => 6
[2,5,6,1,4,3] => [5,6,4,1,3,2] => [2,6,5,4,1,3] => 5
[2,5,6,3,1,4] => [3,4,5,6,1,2] => [1,6,2,3,4,5] => 0
[2,5,6,3,4,1] => [2,6,5,4,3,1] => [6,4,5,3,2,1] => 9
[2,5,6,4,1,3] => [3,6,5,4,1,2] => [1,6,4,5,3,2] => 5
[2,5,6,4,3,1] => [2,5,6,4,3,1] => [6,3,5,4,1,2] => 7
[2,6,1,3,4,5] => [4,3,1,5,6,2] => [4,6,2,1,3,5] => 1
[2,6,1,3,5,4] => [4,3,1,6,5,2] => [5,6,3,2,4,1] => 4
[2,6,1,4,3,5] => [5,3,1,4,6,2] => [4,6,1,3,2,5] => 1
[2,6,1,4,5,3] => [5,3,1,6,4,2] => [5,6,3,4,1,2] => 4
[2,6,1,5,3,4] => [5,3,1,6,4,2] => [5,6,3,4,1,2] => 4
[2,6,1,5,4,3] => [6,3,1,5,4,2] => [5,6,2,4,3,1] => 4
[2,6,3,1,4,5] => [5,4,3,1,6,2] => [5,6,3,2,1,4] => 3
[2,6,3,1,5,4] => [6,4,3,1,5,2] => [5,6,3,1,4,2] => 3
[2,6,3,4,1,5] => [6,4,5,3,1,2] => [1,6,5,2,4,3] => 4
[2,6,3,4,5,1] => [2,4,5,6,3,1] => [6,2,5,1,3,4] => 4
[2,6,3,5,1,4] => [4,6,5,3,1,2] => [1,6,5,3,4,2] => 5
[2,6,3,5,4,1] => [2,4,6,5,3,1] => [6,3,5,2,4,1] => 7
[2,6,4,1,3,5] => [3,4,5,1,6,2] => [5,6,1,2,3,4] => 0
[2,6,4,1,5,3] => [6,4,5,1,3,2] => [2,6,5,1,4,3] => 4
[2,6,4,3,1,5] => [6,5,4,3,1,2] => [1,6,5,4,3,2] => 6
[2,6,4,3,5,1] => [2,5,4,6,3,1] => [6,3,5,2,1,4] => 6
[2,6,4,5,1,3] => [3,6,5,4,1,2] => [1,6,4,5,3,2] => 5
[2,6,4,5,3,1] => [2,5,6,4,3,1] => [6,3,5,4,1,2] => 7
[2,6,5,1,3,4] => [6,4,5,1,3,2] => [2,6,5,1,4,3] => 4
[2,6,5,1,4,3] => [5,4,6,1,3,2] => [2,6,5,3,1,4] => 4
[2,6,5,3,1,4] => [3,5,4,6,1,2] => [1,6,3,4,2,5] => 2
[2,6,5,3,4,1] => [2,5,6,4,3,1] => [6,3,5,4,1,2] => 7
[2,6,5,4,1,3] => [3,5,6,4,1,2] => [1,6,3,5,2,4] => 3
[2,6,5,4,3,1] => [2,6,5,4,3,1] => [6,4,5,3,2,1] => 9
[3,1,2,4,5,6] => [2,3,1,4,5,6] => [3,1,2,4,5,6] => 0
[3,1,2,4,6,5] => [2,3,1,4,6,5] => [4,2,3,5,6,1] => 2
[3,1,2,5,4,6] => [2,3,1,5,4,6] => [4,2,3,5,1,6] => 2
[3,1,2,5,6,4] => [2,3,1,5,6,4] => [4,2,3,6,1,5] => 2
[3,1,2,6,4,5] => [2,3,1,5,6,4] => [4,2,3,6,1,5] => 2
[3,1,2,6,5,4] => [2,3,1,6,5,4] => [5,3,4,6,2,1] => 5
[3,1,4,2,5,6] => [2,3,4,1,5,6] => [4,1,2,3,5,6] => 0
[3,1,4,2,6,5] => [2,3,4,1,6,5] => [5,2,3,4,6,1] => 3
[3,1,4,5,2,6] => [2,3,4,5,1,6] => [5,1,2,3,4,6] => 0
[3,1,4,5,6,2] => [2,3,4,5,6,1] => [6,1,2,3,4,5] => 0
[3,1,4,6,2,5] => [2,3,6,5,1,4] => [1,4,5,6,3,2] => 1
[3,1,4,6,5,2] => [2,3,4,6,5,1] => [6,2,3,4,5,1] => 4
[3,1,5,2,4,6] => [2,5,4,1,3,6] => [1,4,5,3,2,6] => 1
[3,1,5,2,6,4] => [2,5,4,1,6,3] => [5,3,6,2,1,4] => 3
[3,1,5,4,2,6] => [2,3,5,4,1,6] => [5,2,3,4,1,6] => 3
[3,1,5,4,6,2] => [2,3,5,4,6,1] => [6,2,3,4,1,5] => 3
[3,1,5,6,2,4] => [2,4,6,5,1,3] => [1,4,6,3,5,2] => 2
[3,1,5,6,4,2] => [2,3,5,6,4,1] => [6,2,3,5,1,4] => 4
[3,1,6,2,4,5] => [2,5,4,1,6,3] => [5,3,6,2,1,4] => 3
[3,1,6,2,5,4] => [2,6,4,1,5,3] => [5,3,6,1,4,2] => 3
[3,1,6,4,2,5] => [2,6,5,4,1,3] => [1,5,6,4,3,2] => 3
[3,1,6,4,5,2] => [2,3,5,6,4,1] => [6,2,3,5,1,4] => 4
[3,1,6,5,2,4] => [2,4,5,6,1,3] => [1,3,6,2,4,5] => 0
[3,1,6,5,4,2] => [2,3,6,5,4,1] => [6,3,4,5,2,1] => 7
[3,2,1,4,5,6] => [3,2,1,4,5,6] => [3,2,1,4,5,6] => 1
[3,2,1,4,6,5] => [3,2,1,4,6,5] => [4,3,2,5,6,1] => 3
[3,2,1,5,4,6] => [3,2,1,5,4,6] => [4,3,2,5,1,6] => 3
[3,2,1,5,6,4] => [3,2,1,5,6,4] => [4,3,2,6,1,5] => 3
[3,2,1,6,4,5] => [3,2,1,5,6,4] => [4,3,2,6,1,5] => 3
[3,2,1,6,5,4] => [3,2,1,6,5,4] => [5,4,3,6,2,1] => 6
[3,2,4,1,5,6] => [3,2,4,1,5,6] => [4,2,1,3,5,6] => 1
[3,2,4,1,6,5] => [3,2,4,1,6,5] => [5,3,2,4,6,1] => 4
[3,2,4,5,1,6] => [3,2,4,5,1,6] => [5,2,1,3,4,6] => 1
[3,2,4,5,6,1] => [3,2,4,5,6,1] => [6,2,1,3,4,5] => 1
[3,2,4,6,1,5] => [3,2,6,5,1,4] => [1,5,4,6,3,2] => 3
[3,2,4,6,5,1] => [3,2,4,6,5,1] => [6,3,2,4,5,1] => 5
[3,2,5,1,4,6] => [5,2,4,1,3,6] => [1,3,5,4,2,6] => 1
[3,2,5,1,6,4] => [5,2,4,1,6,3] => [5,2,6,3,1,4] => 2
[3,2,5,4,1,6] => [3,2,5,4,1,6] => [5,3,2,4,1,6] => 4
[3,2,5,4,6,1] => [3,2,5,4,6,1] => [6,3,2,4,1,5] => 4
[3,2,5,6,1,4] => [4,2,6,5,1,3] => [1,5,6,3,4,2] => 2
[3,2,5,6,4,1] => [3,2,5,6,4,1] => [6,3,2,5,1,4] => 5
[3,2,6,1,4,5] => [5,2,4,1,6,3] => [5,2,6,3,1,4] => 2
[3,2,6,1,5,4] => [6,2,4,1,5,3] => [5,2,6,1,4,3] => 2
[3,2,6,4,1,5] => [6,2,5,4,1,3] => [1,4,6,5,3,2] => 3
[3,2,6,4,5,1] => [3,2,5,6,4,1] => [6,3,2,5,1,4] => 5
[3,2,6,5,1,4] => [4,2,5,6,1,3] => [1,4,6,2,3,5] => 0
[3,2,6,5,4,1] => [3,2,6,5,4,1] => [6,4,3,5,2,1] => 8
[3,4,1,2,5,6] => [4,3,2,1,5,6] => [4,3,2,1,5,6] => 3
[3,4,1,2,6,5] => [4,3,2,1,6,5] => [5,4,3,2,6,1] => 6
[3,4,1,5,2,6] => [4,3,2,5,1,6] => [5,3,2,1,4,6] => 3
[3,4,1,5,6,2] => [4,3,2,5,6,1] => [6,3,2,1,4,5] => 3
[3,4,1,6,2,5] => [6,3,2,5,1,4] => [1,5,3,6,4,2] => 2
[3,4,1,6,5,2] => [4,3,2,6,5,1] => [6,4,3,2,5,1] => 7
[3,4,2,1,5,6] => [3,4,2,1,5,6] => [4,3,1,2,5,6] => 2
[3,4,2,1,6,5] => [3,4,2,1,6,5] => [5,4,2,3,6,1] => 5
[3,4,2,5,1,6] => [3,4,2,5,1,6] => [5,3,1,2,4,6] => 2
[3,4,2,5,6,1] => [3,4,2,5,6,1] => [6,3,1,2,4,5] => 2
[3,4,2,6,1,5] => [3,6,2,5,1,4] => [1,3,5,6,4,2] => 1
[3,4,2,6,5,1] => [3,4,2,6,5,1] => [6,4,2,3,5,1] => 6
[3,4,5,1,2,6] => [3,5,4,2,1,6] => [5,4,2,3,1,6] => 5
[3,4,5,1,6,2] => [3,5,4,2,6,1] => [6,4,2,3,1,5] => 5
[3,4,5,2,1,6] => [3,4,5,2,1,6] => [5,4,1,2,3,6] => 3
[3,4,5,2,6,1] => [3,4,5,2,6,1] => [6,4,1,2,3,5] => 3
[3,4,5,6,1,2] => [3,4,6,5,2,1] => [6,5,2,3,4,1] => 7
[3,4,5,6,2,1] => [3,4,5,6,2,1] => [6,5,1,2,3,4] => 4
[3,4,6,1,2,5] => [6,5,4,2,1,3] => [5,1,6,4,3,2] => 3
[3,4,6,1,5,2] => [3,6,4,2,5,1] => [6,4,2,1,5,3] => 5
[3,4,6,2,1,5] => [6,4,5,2,1,3] => [5,1,6,2,4,3] => 1
[3,4,6,2,5,1] => [3,6,5,2,4,1] => [6,1,4,5,3,2] => 5
[3,4,6,5,1,2] => [3,4,5,6,2,1] => [6,5,1,2,3,4] => 4
[3,4,6,5,2,1] => [3,4,6,5,2,1] => [6,5,2,3,4,1] => 7
[3,5,1,2,4,6] => [4,3,5,1,2,6] => [1,5,3,2,4,6] => 1
[3,5,1,2,6,4] => [4,3,5,1,6,2] => [5,6,2,1,3,4] => 1
[3,5,1,4,2,6] => [5,3,2,4,1,6] => [5,3,1,4,2,6] => 3
[3,5,1,4,6,2] => [5,3,2,4,6,1] => [6,3,1,4,2,5] => 3
[3,5,1,6,2,4] => [6,3,4,5,1,2] => [1,6,2,3,5,4] => 1
[3,5,1,6,4,2] => [5,3,2,6,4,1] => [6,4,3,5,1,2] => 7
[3,5,2,1,4,6] => [3,4,5,1,2,6] => [1,5,2,3,4,6] => 0
[3,5,2,1,6,4] => [3,4,5,1,6,2] => [5,6,1,2,3,4] => 0
[3,5,2,4,1,6] => [5,4,2,3,1,6] => [5,1,4,3,2,6] => 3
[3,5,2,4,6,1] => [5,4,2,3,6,1] => [6,1,4,3,2,5] => 3
[3,5,2,6,1,4] => [3,6,4,5,1,2] => [1,6,3,2,5,4] => 2
[3,5,2,6,4,1] => [5,4,2,6,3,1] => [6,4,5,2,1,3] => 7
[3,5,4,1,2,6] => [3,4,5,2,1,6] => [5,4,1,2,3,6] => 3
[3,5,4,1,6,2] => [3,4,5,2,6,1] => [6,4,1,2,3,5] => 3
[3,5,4,2,1,6] => [3,5,4,2,1,6] => [5,4,2,3,1,6] => 5
[3,5,4,2,6,1] => [3,5,4,2,6,1] => [6,4,2,3,1,5] => 5
[3,5,4,6,1,2] => [3,6,4,5,2,1] => [6,5,2,1,4,3] => 6
[3,5,4,6,2,1] => [3,5,4,6,2,1] => [6,5,2,3,1,4] => 6
[3,5,6,1,2,4] => [6,5,4,3,1,2] => [1,6,5,4,3,2] => 6
[3,5,6,1,4,2] => [5,6,4,2,3,1] => [6,1,5,4,2,3] => 5
[3,5,6,2,1,4] => [6,4,5,3,1,2] => [1,6,5,2,4,3] => 4
[3,5,6,2,4,1] => [4,6,5,2,3,1] => [6,1,5,3,4,2] => 5
[3,5,6,4,1,2] => [3,6,5,4,2,1] => [6,5,3,4,2,1] => 9
[3,5,6,4,2,1] => [3,5,6,4,2,1] => [6,5,2,4,1,3] => 7
[3,6,1,2,4,5] => [4,3,5,1,6,2] => [5,6,2,1,3,4] => 1
[3,6,1,2,5,4] => [4,3,6,1,5,2] => [2,6,4,3,5,1] => 4
[3,6,1,4,2,5] => [5,3,6,4,1,2] => [1,6,4,5,2,3] => 4
[3,6,1,4,5,2] => [5,3,2,6,4,1] => [6,4,3,5,1,2] => 7
[3,6,1,5,2,4] => [5,3,4,6,1,2] => [1,6,2,4,3,5] => 1
[3,6,1,5,4,2] => [6,3,2,5,4,1] => [6,4,2,5,3,1] => 7
[3,6,2,1,4,5] => [3,4,5,1,6,2] => [5,6,1,2,3,4] => 0
[3,6,2,1,5,4] => [3,4,6,1,5,2] => [2,6,3,4,5,1] => 3
[3,6,2,4,1,5] => [5,4,6,3,1,2] => [1,6,5,3,2,4] => 4
[3,6,2,4,5,1] => [5,4,2,6,3,1] => [6,4,5,2,1,3] => 7
[3,6,2,5,1,4] => [5,6,4,3,1,2] => [1,6,5,4,2,3] => 5
[3,6,2,5,4,1] => [6,4,2,5,3,1] => [6,4,5,1,3,2] => 7
[3,6,4,1,2,5] => [3,4,5,6,1,2] => [1,6,2,3,4,5] => 0
[3,6,4,1,5,2] => [6,4,5,2,3,1] => [6,1,5,2,4,3] => 4
[3,6,4,2,1,5] => [3,5,4,6,1,2] => [1,6,3,4,2,5] => 2
[3,6,4,2,5,1] => [6,5,4,2,3,1] => [6,1,5,4,3,2] => 6
[3,6,4,5,1,2] => [3,6,5,4,2,1] => [6,5,3,4,2,1] => 9
[3,6,4,5,2,1] => [3,5,6,4,2,1] => [6,5,2,4,1,3] => 7
[3,6,5,1,2,4] => [6,4,5,3,1,2] => [1,6,5,2,4,3] => 4
[3,6,5,1,4,2] => [5,4,6,2,3,1] => [6,1,5,3,2,4] => 4
[3,6,5,2,1,4] => [6,5,4,3,1,2] => [1,6,5,4,3,2] => 6
[3,6,5,2,4,1] => [4,5,6,2,3,1] => [6,1,5,2,3,4] => 3
[3,6,5,4,1,2] => [3,5,6,4,2,1] => [6,5,2,4,1,3] => 7
[3,6,5,4,2,1] => [3,6,5,4,2,1] => [6,5,3,4,2,1] => 9
[4,1,2,3,5,6] => [2,3,4,1,5,6] => [4,1,2,3,5,6] => 0
[4,1,2,3,6,5] => [2,3,4,1,6,5] => [5,2,3,4,6,1] => 3
[4,1,2,5,3,6] => [2,3,4,5,1,6] => [5,1,2,3,4,6] => 0
[4,1,2,5,6,3] => [2,3,4,5,6,1] => [6,1,2,3,4,5] => 0
[4,1,2,6,3,5] => [2,3,6,5,1,4] => [1,4,5,6,3,2] => 1
[4,1,2,6,5,3] => [2,3,4,6,5,1] => [6,2,3,4,5,1] => 4
[4,1,3,2,5,6] => [2,4,3,1,5,6] => [4,2,3,1,5,6] => 2
[4,1,3,2,6,5] => [2,4,3,1,6,5] => [5,3,4,2,6,1] => 5
[4,1,3,5,2,6] => [2,4,3,5,1,6] => [5,2,3,1,4,6] => 2
[4,1,3,5,6,2] => [2,4,3,5,6,1] => [6,2,3,1,4,5] => 2
[4,1,3,6,2,5] => [2,6,3,5,1,4] => [1,4,3,6,5,2] => 2
[4,1,3,6,5,2] => [2,4,3,6,5,1] => [6,3,4,2,5,1] => 6
[4,1,5,2,3,6] => [2,5,4,3,1,6] => [5,3,4,2,1,6] => 5
[4,1,5,2,6,3] => [2,5,4,3,6,1] => [6,3,4,2,1,5] => 5
[4,1,5,3,2,6] => [2,4,5,3,1,6] => [5,2,4,1,3,6] => 3
[4,1,5,3,6,2] => [2,4,5,3,6,1] => [6,2,4,1,3,5] => 3
[4,1,5,6,2,3] => [2,4,6,5,3,1] => [6,3,5,2,4,1] => 7
[4,1,5,6,3,2] => [2,4,5,6,3,1] => [6,2,5,1,3,4] => 4
[4,1,6,2,3,5] => [2,5,4,6,1,3] => [1,4,6,3,2,5] => 1
[4,1,6,2,5,3] => [2,6,4,3,5,1] => [6,3,4,1,5,2] => 5
[4,1,6,3,2,5] => [2,4,5,6,1,3] => [1,3,6,2,4,5] => 0
[4,1,6,3,5,2] => [2,6,5,3,4,1] => [6,3,1,5,4,2] => 5
[4,1,6,5,2,3] => [2,4,5,6,3,1] => [6,2,5,1,3,4] => 4
[4,1,6,5,3,2] => [2,4,6,5,3,1] => [6,3,5,2,4,1] => 7
[4,2,1,3,5,6] => [3,2,4,1,5,6] => [4,2,1,3,5,6] => 1
[4,2,1,3,6,5] => [3,2,4,1,6,5] => [5,3,2,4,6,1] => 4
[4,2,1,5,3,6] => [3,2,4,5,1,6] => [5,2,1,3,4,6] => 1
[4,2,1,5,6,3] => [3,2,4,5,6,1] => [6,2,1,3,4,5] => 1
[4,2,1,6,3,5] => [3,2,6,5,1,4] => [1,5,4,6,3,2] => 3
[4,2,1,6,5,3] => [3,2,4,6,5,1] => [6,3,2,4,5,1] => 5
[4,2,3,1,5,6] => [3,4,2,1,5,6] => [4,3,1,2,5,6] => 2
[4,2,3,1,6,5] => [3,4,2,1,6,5] => [5,4,2,3,6,1] => 5
[4,2,3,5,1,6] => [3,4,2,5,1,6] => [5,3,1,2,4,6] => 2
[4,2,3,5,6,1] => [3,4,2,5,6,1] => [6,3,1,2,4,5] => 2
[4,2,3,6,1,5] => [3,6,2,5,1,4] => [1,3,5,6,4,2] => 1
[4,2,3,6,5,1] => [3,4,2,6,5,1] => [6,4,2,3,5,1] => 6
[4,2,5,1,3,6] => [5,2,4,3,1,6] => [5,2,4,3,1,6] => 4
[4,2,5,1,6,3] => [5,2,4,3,6,1] => [6,2,4,3,1,5] => 4
[4,2,5,3,1,6] => [3,4,5,2,1,6] => [5,4,1,2,3,6] => 3
[4,2,5,3,6,1] => [3,4,5,2,6,1] => [6,4,1,2,3,5] => 3
[4,2,5,6,1,3] => [4,2,6,5,3,1] => [6,4,5,2,3,1] => 8
[4,2,5,6,3,1] => [3,4,5,6,2,1] => [6,5,1,2,3,4] => 4
[4,2,6,1,3,5] => [5,2,4,6,1,3] => [1,3,6,4,2,5] => 1
[4,2,6,1,5,3] => [6,2,4,3,5,1] => [6,2,4,1,5,3] => 4
[4,2,6,3,1,5] => [6,4,5,2,1,3] => [5,1,6,2,4,3] => 1
[4,2,6,3,5,1] => [3,6,5,2,4,1] => [6,1,4,5,3,2] => 5
[4,2,6,5,1,3] => [4,2,5,6,3,1] => [6,3,5,1,2,4] => 5
[4,2,6,5,3,1] => [3,4,6,5,2,1] => [6,5,2,3,4,1] => 7
[4,3,1,2,5,6] => [3,4,2,1,5,6] => [4,3,1,2,5,6] => 2
[4,3,1,2,6,5] => [3,4,2,1,6,5] => [5,4,2,3,6,1] => 5
[4,3,1,5,2,6] => [3,4,2,5,1,6] => [5,3,1,2,4,6] => 2
[4,3,1,5,6,2] => [3,4,2,5,6,1] => [6,3,1,2,4,5] => 2
[4,3,1,6,2,5] => [3,6,2,5,1,4] => [1,3,5,6,4,2] => 1
[4,3,1,6,5,2] => [3,4,2,6,5,1] => [6,4,2,3,5,1] => 6
[4,3,2,1,5,6] => [4,3,2,1,5,6] => [4,3,2,1,5,6] => 3
[4,3,2,1,6,5] => [4,3,2,1,6,5] => [5,4,3,2,6,1] => 6
[4,3,2,5,1,6] => [4,3,2,5,1,6] => [5,3,2,1,4,6] => 3
[4,3,2,5,6,1] => [4,3,2,5,6,1] => [6,3,2,1,4,5] => 3
[4,3,2,6,1,5] => [6,3,2,5,1,4] => [1,5,3,6,4,2] => 2
[4,3,2,6,5,1] => [4,3,2,6,5,1] => [6,4,3,2,5,1] => 7
[4,3,5,1,2,6] => [5,3,4,2,1,6] => [5,4,1,3,2,6] => 4
[4,3,5,1,6,2] => [5,3,4,2,6,1] => [6,4,1,3,2,5] => 4
[4,3,5,2,1,6] => [4,3,5,2,1,6] => [5,4,2,1,3,6] => 4
[4,3,5,2,6,1] => [4,3,5,2,6,1] => [6,4,2,1,3,5] => 4
[4,3,5,6,1,2] => [4,3,6,5,2,1] => [6,5,3,2,4,1] => 8
[4,3,5,6,2,1] => [4,3,5,6,2,1] => [6,5,2,1,3,4] => 5
[4,3,6,1,2,5] => [5,6,4,2,1,3] => [5,1,6,4,2,3] => 2
[4,3,6,1,5,2] => [6,3,4,2,5,1] => [6,4,1,2,5,3] => 4
[4,3,6,2,1,5] => [4,6,5,2,1,3] => [5,1,6,3,4,2] => 2
[4,3,6,2,5,1] => [6,3,5,2,4,1] => [6,1,3,5,4,2] => 4
[4,3,6,5,1,2] => [4,3,5,6,2,1] => [6,5,2,1,3,4] => 5
[4,3,6,5,2,1] => [4,3,6,5,2,1] => [6,5,3,2,4,1] => 8
[4,5,1,2,3,6] => [4,3,5,2,1,6] => [5,4,2,1,3,6] => 4
[4,5,1,2,6,3] => [4,3,5,2,6,1] => [6,4,2,1,3,5] => 4
[4,5,1,3,2,6] => [5,3,4,2,1,6] => [5,4,1,3,2,6] => 4
[4,5,1,3,6,2] => [5,3,4,2,6,1] => [6,4,1,3,2,5] => 4
[4,5,1,6,2,3] => [6,3,4,5,2,1] => [6,5,1,2,4,3] => 5
[4,5,1,6,3,2] => [5,3,4,6,2,1] => [6,5,1,3,2,4] => 5
[4,5,2,1,3,6] => [3,4,5,2,1,6] => [5,4,1,2,3,6] => 3
[4,5,2,1,6,3] => [3,4,5,2,6,1] => [6,4,1,2,3,5] => 3
[4,5,2,3,1,6] => [5,4,3,2,1,6] => [5,4,3,2,1,6] => 6
[4,5,2,3,6,1] => [5,4,3,2,6,1] => [6,4,3,2,1,5] => 6
[4,5,2,6,1,3] => [3,6,4,5,2,1] => [6,5,2,1,4,3] => 6
[4,5,2,6,3,1] => [5,4,3,6,2,1] => [6,5,3,2,1,4] => 7
[4,5,3,1,2,6] => [5,4,3,2,1,6] => [5,4,3,2,1,6] => 6
[4,5,3,1,6,2] => [5,4,3,2,6,1] => [6,4,3,2,1,5] => 6
[4,5,3,2,1,6] => [4,5,3,2,1,6] => [5,4,3,1,2,6] => 5
[4,5,3,2,6,1] => [4,5,3,2,6,1] => [6,4,3,1,2,5] => 5
[4,5,3,6,1,2] => [4,6,3,5,2,1] => [6,5,1,3,4,2] => 6
[4,5,3,6,2,1] => [4,5,3,6,2,1] => [6,5,3,1,2,4] => 6
[4,5,6,1,2,3] => [6,5,4,3,2,1] => [6,5,4,3,2,1] => 10
[4,5,6,1,3,2] => [5,6,4,3,2,1] => [6,5,4,3,1,2] => 9
[4,5,6,2,1,3] => [6,4,5,3,2,1] => [6,5,4,1,3,2] => 8
[4,5,6,2,3,1] => [4,6,5,3,2,1] => [6,5,4,2,3,1] => 9
[4,5,6,3,1,2] => [4,6,5,3,2,1] => [6,5,4,2,3,1] => 9
[4,5,6,3,2,1] => [4,5,6,3,2,1] => [6,5,4,1,2,3] => 7
[4,6,1,2,3,5] => [4,3,5,6,1,2] => [1,6,3,2,4,5] => 1
[4,6,1,2,5,3] => [4,3,6,2,5,1] => [6,1,4,3,5,2] => 4
[4,6,1,3,2,5] => [5,3,4,6,1,2] => [1,6,2,4,3,5] => 1
[4,6,1,3,5,2] => [5,3,6,2,4,1] => [6,1,4,5,2,3] => 4
[4,6,1,5,2,3] => [5,3,4,6,2,1] => [6,5,1,3,2,4] => 5
[4,6,1,5,3,2] => [6,3,4,5,2,1] => [6,5,1,2,4,3] => 5
[4,6,2,1,3,5] => [3,4,5,6,1,2] => [1,6,2,3,4,5] => 0
[4,6,2,1,5,3] => [3,4,6,2,5,1] => [6,1,3,4,5,2] => 3
[4,6,2,3,1,5] => [5,4,3,6,1,2] => [1,6,4,3,2,5] => 3
[4,6,2,3,5,1] => [5,4,6,2,3,1] => [6,1,5,3,2,4] => 4
[4,6,2,5,1,3] => [5,6,4,3,2,1] => [6,5,4,3,1,2] => 9
[4,6,2,5,3,1] => [6,4,3,5,2,1] => [6,5,3,1,4,2] => 7
[4,6,3,1,2,5] => [5,4,3,6,1,2] => [1,6,4,3,2,5] => 3
[4,6,3,1,5,2] => [5,4,6,2,3,1] => [6,1,5,3,2,4] => 4
[4,6,3,2,1,5] => [4,5,3,6,1,2] => [1,6,4,2,3,5] => 2
[4,6,3,2,5,1] => [4,5,6,2,3,1] => [6,1,5,2,3,4] => 3
[4,6,3,5,1,2] => [5,6,3,4,2,1] => [6,5,1,4,2,3] => 6
[4,6,3,5,2,1] => [6,5,3,4,2,1] => [6,5,1,4,3,2] => 7
[4,6,5,1,2,3] => [6,4,5,3,2,1] => [6,5,4,1,3,2] => 8
[4,6,5,1,3,2] => [5,4,6,3,2,1] => [6,5,4,2,1,3] => 8
[4,6,5,2,1,3] => [6,5,4,3,2,1] => [6,5,4,3,2,1] => 10
[4,6,5,2,3,1] => [4,5,6,3,2,1] => [6,5,4,1,2,3] => 7
[4,6,5,3,1,2] => [4,5,6,3,2,1] => [6,5,4,1,2,3] => 7
[4,6,5,3,2,1] => [4,6,5,3,2,1] => [6,5,4,2,3,1] => 9
[5,1,2,3,4,6] => [2,3,4,5,1,6] => [5,1,2,3,4,6] => 0
[5,1,2,3,6,4] => [2,3,4,5,6,1] => [6,1,2,3,4,5] => 0
[5,1,2,4,3,6] => [2,3,5,4,1,6] => [5,2,3,4,1,6] => 3
[5,1,2,4,6,3] => [2,3,5,4,6,1] => [6,2,3,4,1,5] => 3
[5,1,2,6,3,4] => [2,3,6,5,4,1] => [6,3,4,5,2,1] => 7
[5,1,2,6,4,3] => [2,3,5,6,4,1] => [6,2,3,5,1,4] => 4
[5,1,3,2,4,6] => [2,4,3,5,1,6] => [5,2,3,1,4,6] => 2
[5,1,3,2,6,4] => [2,4,3,5,6,1] => [6,2,3,1,4,5] => 2
[5,1,3,4,2,6] => [2,4,5,3,1,6] => [5,2,4,1,3,6] => 3
[5,1,3,4,6,2] => [2,4,5,3,6,1] => [6,2,4,1,3,5] => 3
[5,1,3,6,2,4] => [2,6,3,5,4,1] => [6,3,2,5,4,1] => 6
[5,1,3,6,4,2] => [2,4,5,6,3,1] => [6,2,5,1,3,4] => 4
[5,1,4,2,3,6] => [2,4,5,3,1,6] => [5,2,4,1,3,6] => 3
[5,1,4,2,6,3] => [2,4,5,3,6,1] => [6,2,4,1,3,5] => 3
[5,1,4,3,2,6] => [2,5,4,3,1,6] => [5,3,4,2,1,6] => 5
[5,1,4,3,6,2] => [2,5,4,3,6,1] => [6,3,4,2,1,5] => 5
[5,1,4,6,2,3] => [2,6,4,5,3,1] => [6,3,5,1,4,2] => 6
[5,1,4,6,3,2] => [2,5,4,6,3,1] => [6,3,5,2,1,4] => 6
[5,1,6,2,3,4] => [2,5,4,6,3,1] => [6,3,5,2,1,4] => 6
[5,1,6,2,4,3] => [2,6,4,5,3,1] => [6,3,5,1,4,2] => 6
[5,1,6,3,2,4] => [2,4,5,6,3,1] => [6,2,5,1,3,4] => 4
[5,1,6,3,4,2] => [2,6,5,4,3,1] => [6,4,5,3,2,1] => 9
[5,1,6,4,2,3] => [2,6,5,4,3,1] => [6,4,5,3,2,1] => 9
[5,1,6,4,3,2] => [2,5,6,4,3,1] => [6,3,5,4,1,2] => 7
[5,2,1,3,4,6] => [3,2,4,5,1,6] => [5,2,1,3,4,6] => 1
[5,2,1,3,6,4] => [3,2,4,5,6,1] => [6,2,1,3,4,5] => 1
[5,2,1,4,3,6] => [3,2,5,4,1,6] => [5,3,2,4,1,6] => 4
[5,2,1,4,6,3] => [3,2,5,4,6,1] => [6,3,2,4,1,5] => 4
[5,2,1,6,3,4] => [3,2,6,5,4,1] => [6,4,3,5,2,1] => 8
[5,2,1,6,4,3] => [3,2,5,6,4,1] => [6,3,2,5,1,4] => 5
[5,2,3,1,4,6] => [3,4,2,5,1,6] => [5,3,1,2,4,6] => 2
[5,2,3,1,6,4] => [3,4,2,5,6,1] => [6,3,1,2,4,5] => 2
[5,2,3,4,1,6] => [3,4,5,2,1,6] => [5,4,1,2,3,6] => 3
[5,2,3,4,6,1] => [3,4,5,2,6,1] => [6,4,1,2,3,5] => 3
[5,2,3,6,1,4] => [3,6,2,5,4,1] => [6,2,4,5,3,1] => 6
[5,2,3,6,4,1] => [3,4,5,6,2,1] => [6,5,1,2,3,4] => 4
[5,2,4,1,3,6] => [5,4,2,3,1,6] => [5,1,4,3,2,6] => 3
[5,2,4,1,6,3] => [5,4,2,3,6,1] => [6,1,4,3,2,5] => 3
[5,2,4,3,1,6] => [3,5,4,2,1,6] => [5,4,2,3,1,6] => 5
[5,2,4,3,6,1] => [3,5,4,2,6,1] => [6,4,2,3,1,5] => 5
[5,2,4,6,1,3] => [4,6,2,5,3,1] => [6,2,5,3,4,1] => 6
[5,2,4,6,3,1] => [3,5,4,6,2,1] => [6,5,2,3,1,4] => 6
[5,2,6,1,3,4] => [5,2,4,6,3,1] => [6,2,5,3,1,4] => 5
[5,2,6,1,4,3] => [6,2,4,5,3,1] => [6,2,5,1,4,3] => 5
[5,2,6,3,1,4] => [6,4,5,2,3,1] => [6,1,5,2,4,3] => 4
[5,2,6,3,4,1] => [3,6,5,4,2,1] => [6,5,3,4,2,1] => 9
[5,2,6,4,1,3] => [4,6,5,2,3,1] => [6,1,5,3,4,2] => 5
[5,2,6,4,3,1] => [3,5,6,4,2,1] => [6,5,2,4,1,3] => 7
[5,3,1,2,4,6] => [3,4,2,5,1,6] => [5,3,1,2,4,6] => 2
[5,3,1,2,6,4] => [3,4,2,5,6,1] => [6,3,1,2,4,5] => 2
[5,3,1,4,2,6] => [3,4,5,2,1,6] => [5,4,1,2,3,6] => 3
[5,3,1,4,6,2] => [3,4,5,2,6,1] => [6,4,1,2,3,5] => 3
[5,3,1,6,2,4] => [3,6,2,5,4,1] => [6,2,4,5,3,1] => 6
[5,3,1,6,4,2] => [3,4,5,6,2,1] => [6,5,1,2,3,4] => 4
[5,3,2,1,4,6] => [4,3,2,5,1,6] => [5,3,2,1,4,6] => 3
[5,3,2,1,6,4] => [4,3,2,5,6,1] => [6,3,2,1,4,5] => 3
[5,3,2,4,1,6] => [4,3,5,2,1,6] => [5,4,2,1,3,6] => 4
[5,3,2,4,6,1] => [4,3,5,2,6,1] => [6,4,2,1,3,5] => 4
[5,3,2,6,1,4] => [6,3,2,5,4,1] => [6,4,2,5,3,1] => 7
[5,3,2,6,4,1] => [4,3,5,6,2,1] => [6,5,2,1,3,4] => 5
[5,3,4,1,2,6] => [5,4,3,2,1,6] => [5,4,3,2,1,6] => 6
[5,3,4,1,6,2] => [5,4,3,2,6,1] => [6,4,3,2,1,5] => 6
[5,3,4,2,1,6] => [4,5,3,2,1,6] => [5,4,3,1,2,6] => 5
[5,3,4,2,6,1] => [4,5,3,2,6,1] => [6,4,3,1,2,5] => 5
[5,3,4,6,1,2] => [4,6,3,5,2,1] => [6,5,1,3,4,2] => 6
[5,3,4,6,2,1] => [4,5,3,6,2,1] => [6,5,3,1,2,4] => 6
[5,3,6,1,2,4] => [5,6,4,2,3,1] => [6,1,5,4,2,3] => 5
[5,3,6,1,4,2] => [6,3,4,5,2,1] => [6,5,1,2,4,3] => 5
[5,3,6,2,1,4] => [4,6,5,2,3,1] => [6,1,5,3,4,2] => 5
[5,3,6,2,4,1] => [6,3,5,4,2,1] => [6,5,2,4,3,1] => 8
[5,3,6,4,1,2] => [4,6,5,3,2,1] => [6,5,4,2,3,1] => 9
[5,3,6,4,2,1] => [4,5,6,3,2,1] => [6,5,4,1,2,3] => 7
[5,4,1,2,3,6] => [3,4,5,2,1,6] => [5,4,1,2,3,6] => 3
[5,4,1,2,6,3] => [3,4,5,2,6,1] => [6,4,1,2,3,5] => 3
[5,4,1,3,2,6] => [3,5,4,2,1,6] => [5,4,2,3,1,6] => 5
[5,4,1,3,6,2] => [3,5,4,2,6,1] => [6,4,2,3,1,5] => 5
[5,4,1,6,2,3] => [3,6,4,5,2,1] => [6,5,2,1,4,3] => 6
[5,4,1,6,3,2] => [3,5,4,6,2,1] => [6,5,2,3,1,4] => 6
[5,4,2,1,3,6] => [4,3,5,2,1,6] => [5,4,2,1,3,6] => 4
[5,4,2,1,6,3] => [4,3,5,2,6,1] => [6,4,2,1,3,5] => 4
[5,4,2,3,1,6] => [4,5,3,2,1,6] => [5,4,3,1,2,6] => 5
[5,4,2,3,6,1] => [4,5,3,2,6,1] => [6,4,3,1,2,5] => 5
[5,4,2,6,1,3] => [6,3,4,5,2,1] => [6,5,1,2,4,3] => 5
[5,4,2,6,3,1] => [4,5,3,6,2,1] => [6,5,3,1,2,4] => 6
[5,4,3,1,2,6] => [4,5,3,2,1,6] => [5,4,3,1,2,6] => 5
[5,4,3,1,6,2] => [4,5,3,2,6,1] => [6,4,3,1,2,5] => 5
[5,4,3,2,1,6] => [5,4,3,2,1,6] => [5,4,3,2,1,6] => 6
[5,4,3,2,6,1] => [5,4,3,2,6,1] => [6,4,3,2,1,5] => 6
[5,4,3,6,1,2] => [6,4,3,5,2,1] => [6,5,3,1,4,2] => 7
[5,4,3,6,2,1] => [5,4,3,6,2,1] => [6,5,3,2,1,4] => 7
[5,4,6,1,2,3] => [5,6,4,3,2,1] => [6,5,4,3,1,2] => 9
[5,4,6,1,3,2] => [6,5,4,3,2,1] => [6,5,4,3,2,1] => 10
[5,4,6,2,1,3] => [4,6,5,3,2,1] => [6,5,4,2,3,1] => 9
[5,4,6,2,3,1] => [6,4,5,3,2,1] => [6,5,4,1,3,2] => 8
[5,4,6,3,1,2] => [6,4,5,3,2,1] => [6,5,4,1,3,2] => 8
[5,4,6,3,2,1] => [5,4,6,3,2,1] => [6,5,4,2,1,3] => 8
[5,6,1,2,3,4] => [4,3,5,6,2,1] => [6,5,2,1,3,4] => 5
[5,6,1,2,4,3] => [4,3,6,5,2,1] => [6,5,3,2,4,1] => 8
[5,6,1,3,2,4] => [5,3,4,6,2,1] => [6,5,1,3,2,4] => 5
[5,6,1,3,4,2] => [5,3,6,4,2,1] => [6,5,3,4,1,2] => 8
[5,6,1,4,2,3] => [5,3,6,4,2,1] => [6,5,3,4,1,2] => 8
[5,6,1,4,3,2] => [6,3,5,4,2,1] => [6,5,2,4,3,1] => 8
[5,6,2,1,3,4] => [3,4,5,6,2,1] => [6,5,1,2,3,4] => 4
[5,6,2,1,4,3] => [3,4,6,5,2,1] => [6,5,2,3,4,1] => 7
[5,6,2,3,1,4] => [5,4,3,6,2,1] => [6,5,3,2,1,4] => 7
[5,6,2,3,4,1] => [5,4,6,3,2,1] => [6,5,4,2,1,3] => 8
[5,6,2,4,1,3] => [5,6,3,4,2,1] => [6,5,1,4,2,3] => 6
[5,6,2,4,3,1] => [6,4,5,3,2,1] => [6,5,4,1,3,2] => 8
[5,6,3,1,2,4] => [5,4,3,6,2,1] => [6,5,3,2,1,4] => 7
[5,6,3,1,4,2] => [5,4,6,3,2,1] => [6,5,4,2,1,3] => 8
[5,6,3,2,1,4] => [4,5,3,6,2,1] => [6,5,3,1,2,4] => 6
[5,6,3,2,4,1] => [4,5,6,3,2,1] => [6,5,4,1,2,3] => 7
[5,6,3,4,1,2] => [5,6,4,3,2,1] => [6,5,4,3,1,2] => 9
[5,6,3,4,2,1] => [6,5,4,3,2,1] => [6,5,4,3,2,1] => 10
[5,6,4,1,2,3] => [5,4,6,3,2,1] => [6,5,4,2,1,3] => 8
[5,6,4,1,3,2] => [6,4,5,3,2,1] => [6,5,4,1,3,2] => 8
[5,6,4,2,1,3] => [4,5,6,3,2,1] => [6,5,4,1,2,3] => 7
[5,6,4,2,3,1] => [6,5,4,3,2,1] => [6,5,4,3,2,1] => 10
[5,6,4,3,1,2] => [6,5,4,3,2,1] => [6,5,4,3,2,1] => 10
[5,6,4,3,2,1] => [5,6,4,3,2,1] => [6,5,4,3,1,2] => 9
[6,1,2,3,4,5] => [2,3,4,5,6,1] => [6,1,2,3,4,5] => 0
[6,1,2,3,5,4] => [2,3,4,6,5,1] => [6,2,3,4,5,1] => 4
[6,1,2,4,3,5] => [2,3,5,4,6,1] => [6,2,3,4,1,5] => 3
[6,1,2,4,5,3] => [2,3,5,6,4,1] => [6,2,3,5,1,4] => 4
[6,1,2,5,3,4] => [2,3,5,6,4,1] => [6,2,3,5,1,4] => 4
[6,1,2,5,4,3] => [2,3,6,5,4,1] => [6,3,4,5,2,1] => 7
[6,1,3,2,4,5] => [2,4,3,5,6,1] => [6,2,3,1,4,5] => 2
[6,1,3,2,5,4] => [2,4,3,6,5,1] => [6,3,4,2,5,1] => 6
[6,1,3,4,2,5] => [2,4,5,3,6,1] => [6,2,4,1,3,5] => 3
[6,1,3,4,5,2] => [2,4,5,6,3,1] => [6,2,5,1,3,4] => 4
[6,1,3,5,2,4] => [2,6,5,3,4,1] => [6,3,1,5,4,2] => 5
[6,1,3,5,4,2] => [2,4,6,5,3,1] => [6,3,5,2,4,1] => 7
[6,1,4,2,3,5] => [2,4,5,3,6,1] => [6,2,4,1,3,5] => 3
[6,1,4,2,5,3] => [2,4,5,6,3,1] => [6,2,5,1,3,4] => 4
[6,1,4,3,2,5] => [2,5,4,3,6,1] => [6,3,4,2,1,5] => 5
[6,1,4,3,5,2] => [2,5,4,6,3,1] => [6,3,5,2,1,4] => 6
[6,1,4,5,2,3] => [2,6,5,4,3,1] => [6,4,5,3,2,1] => 9
[6,1,4,5,3,2] => [2,5,6,4,3,1] => [6,3,5,4,1,2] => 7
[6,1,5,2,3,4] => [2,4,5,6,3,1] => [6,2,5,1,3,4] => 4
[6,1,5,2,4,3] => [2,4,6,5,3,1] => [6,3,5,2,4,1] => 7
[6,1,5,3,2,4] => [2,5,4,6,3,1] => [6,3,5,2,1,4] => 6
[6,1,5,3,4,2] => [2,5,6,4,3,1] => [6,3,5,4,1,2] => 7
[6,1,5,4,2,3] => [2,5,6,4,3,1] => [6,3,5,4,1,2] => 7
[6,1,5,4,3,2] => [2,6,5,4,3,1] => [6,4,5,3,2,1] => 9
[6,2,1,3,4,5] => [3,2,4,5,6,1] => [6,2,1,3,4,5] => 1
[6,2,1,3,5,4] => [3,2,4,6,5,1] => [6,3,2,4,5,1] => 5
[6,2,1,4,3,5] => [3,2,5,4,6,1] => [6,3,2,4,1,5] => 4
[6,2,1,4,5,3] => [3,2,5,6,4,1] => [6,3,2,5,1,4] => 5
[6,2,1,5,3,4] => [3,2,5,6,4,1] => [6,3,2,5,1,4] => 5
[6,2,1,5,4,3] => [3,2,6,5,4,1] => [6,4,3,5,2,1] => 8
[6,2,3,1,4,5] => [3,4,2,5,6,1] => [6,3,1,2,4,5] => 2
[6,2,3,1,5,4] => [3,4,2,6,5,1] => [6,4,2,3,5,1] => 6
[6,2,3,4,1,5] => [3,4,5,2,6,1] => [6,4,1,2,3,5] => 3
[6,2,3,4,5,1] => [3,4,5,6,2,1] => [6,5,1,2,3,4] => 4
[6,2,3,5,1,4] => [3,6,5,2,4,1] => [6,1,4,5,3,2] => 5
[6,2,3,5,4,1] => [3,4,6,5,2,1] => [6,5,2,3,4,1] => 7
[6,2,4,1,3,5] => [5,4,2,3,6,1] => [6,1,4,3,2,5] => 3
[6,2,4,1,5,3] => [5,4,2,6,3,1] => [6,4,5,2,1,3] => 7
[6,2,4,3,1,5] => [3,5,4,2,6,1] => [6,4,2,3,1,5] => 5
[6,2,4,3,5,1] => [3,5,4,6,2,1] => [6,5,2,3,1,4] => 6
[6,2,4,5,1,3] => [4,6,5,2,3,1] => [6,1,5,3,4,2] => 5
[6,2,4,5,3,1] => [3,5,6,4,2,1] => [6,5,2,4,1,3] => 7
[6,2,5,1,3,4] => [5,4,2,6,3,1] => [6,4,5,2,1,3] => 7
[6,2,5,1,4,3] => [6,4,2,5,3,1] => [6,4,5,1,3,2] => 7
[6,2,5,3,1,4] => [6,5,4,2,3,1] => [6,1,5,4,3,2] => 6
[6,2,5,3,4,1] => [3,5,6,4,2,1] => [6,5,2,4,1,3] => 7
[6,2,5,4,1,3] => [4,5,6,2,3,1] => [6,1,5,2,3,4] => 3
[6,2,5,4,3,1] => [3,6,5,4,2,1] => [6,5,3,4,2,1] => 9
[6,3,1,2,4,5] => [3,4,2,5,6,1] => [6,3,1,2,4,5] => 2
[6,3,1,2,5,4] => [3,4,2,6,5,1] => [6,4,2,3,5,1] => 6
[6,3,1,4,2,5] => [3,4,5,2,6,1] => [6,4,1,2,3,5] => 3
[6,3,1,4,5,2] => [3,4,5,6,2,1] => [6,5,1,2,3,4] => 4
[6,3,1,5,2,4] => [3,6,5,2,4,1] => [6,1,4,5,3,2] => 5
[6,3,1,5,4,2] => [3,4,6,5,2,1] => [6,5,2,3,4,1] => 7
[6,3,2,1,4,5] => [4,3,2,5,6,1] => [6,3,2,1,4,5] => 3
[6,3,2,1,5,4] => [4,3,2,6,5,1] => [6,4,3,2,5,1] => 7
[6,3,2,4,1,5] => [4,3,5,2,6,1] => [6,4,2,1,3,5] => 4
[6,3,2,4,5,1] => [4,3,5,6,2,1] => [6,5,2,1,3,4] => 5
[6,3,2,5,1,4] => [6,3,5,2,4,1] => [6,1,3,5,4,2] => 4
[6,3,2,5,4,1] => [4,3,6,5,2,1] => [6,5,3,2,4,1] => 8
[6,3,4,1,2,5] => [5,4,3,2,6,1] => [6,4,3,2,1,5] => 6
[6,3,4,1,5,2] => [5,4,3,6,2,1] => [6,5,3,2,1,4] => 7
[6,3,4,2,1,5] => [4,5,3,2,6,1] => [6,4,3,1,2,5] => 5
[6,3,4,2,5,1] => [4,5,3,6,2,1] => [6,5,3,1,2,4] => 6
[6,3,4,5,1,2] => [4,6,5,3,2,1] => [6,5,4,2,3,1] => 9
[6,3,4,5,2,1] => [4,5,6,3,2,1] => [6,5,4,1,2,3] => 7
[6,3,5,1,2,4] => [5,4,6,2,3,1] => [6,1,5,3,2,4] => 4
[6,3,5,1,4,2] => [6,4,3,5,2,1] => [6,5,3,1,4,2] => 7
[6,3,5,2,1,4] => [4,5,6,2,3,1] => [6,1,5,2,3,4] => 3
[6,3,5,2,4,1] => [6,5,3,4,2,1] => [6,5,1,4,3,2] => 7
[6,3,5,4,1,2] => [4,5,6,3,2,1] => [6,5,4,1,2,3] => 7
[6,3,5,4,2,1] => [4,6,5,3,2,1] => [6,5,4,2,3,1] => 9
[6,4,1,2,3,5] => [3,4,5,2,6,1] => [6,4,1,2,3,5] => 3
[6,4,1,2,5,3] => [3,4,5,6,2,1] => [6,5,1,2,3,4] => 4
[6,4,1,3,2,5] => [3,5,4,2,6,1] => [6,4,2,3,1,5] => 5
[6,4,1,3,5,2] => [3,5,4,6,2,1] => [6,5,2,3,1,4] => 6
[6,4,1,5,2,3] => [3,6,5,4,2,1] => [6,5,3,4,2,1] => 9
[6,4,1,5,3,2] => [3,5,6,4,2,1] => [6,5,2,4,1,3] => 7
[6,4,2,1,3,5] => [4,3,5,2,6,1] => [6,4,2,1,3,5] => 4
[6,4,2,1,5,3] => [4,3,5,6,2,1] => [6,5,2,1,3,4] => 5
[6,4,2,3,1,5] => [4,5,3,2,6,1] => [6,4,3,1,2,5] => 5
[6,4,2,3,5,1] => [4,5,3,6,2,1] => [6,5,3,1,2,4] => 6
[6,4,2,5,1,3] => [6,3,5,4,2,1] => [6,5,2,4,3,1] => 8
[6,4,2,5,3,1] => [4,5,6,3,2,1] => [6,5,4,1,2,3] => 7
[6,4,3,1,2,5] => [4,5,3,2,6,1] => [6,4,3,1,2,5] => 5
[6,4,3,1,5,2] => [4,5,3,6,2,1] => [6,5,3,1,2,4] => 6
[6,4,3,2,1,5] => [5,4,3,2,6,1] => [6,4,3,2,1,5] => 6
[6,4,3,2,5,1] => [5,4,3,6,2,1] => [6,5,3,2,1,4] => 7
[6,4,3,5,1,2] => [6,4,5,3,2,1] => [6,5,4,1,3,2] => 8
[6,4,3,5,2,1] => [5,4,6,3,2,1] => [6,5,4,2,1,3] => 8
[6,4,5,1,2,3] => [5,4,6,3,2,1] => [6,5,4,2,1,3] => 8
[6,4,5,1,3,2] => [6,4,5,3,2,1] => [6,5,4,1,3,2] => 8
[6,4,5,2,1,3] => [4,5,6,3,2,1] => [6,5,4,1,2,3] => 7
[6,4,5,2,3,1] => [6,5,4,3,2,1] => [6,5,4,3,2,1] => 10
[6,4,5,3,1,2] => [6,5,4,3,2,1] => [6,5,4,3,2,1] => 10
[6,4,5,3,2,1] => [5,6,4,3,2,1] => [6,5,4,3,1,2] => 9
[6,5,1,2,3,4] => [3,4,5,6,2,1] => [6,5,1,2,3,4] => 4
[6,5,1,2,4,3] => [3,4,6,5,2,1] => [6,5,2,3,4,1] => 7
[6,5,1,3,2,4] => [3,5,4,6,2,1] => [6,5,2,3,1,4] => 6
[6,5,1,3,4,2] => [3,5,6,4,2,1] => [6,5,2,4,1,3] => 7
[6,5,1,4,2,3] => [3,5,6,4,2,1] => [6,5,2,4,1,3] => 7
[6,5,1,4,3,2] => [3,6,5,4,2,1] => [6,5,3,4,2,1] => 9
[6,5,2,1,3,4] => [4,3,5,6,2,1] => [6,5,2,1,3,4] => 5
[6,5,2,1,4,3] => [4,3,6,5,2,1] => [6,5,3,2,4,1] => 8
[6,5,2,3,1,4] => [4,5,3,6,2,1] => [6,5,3,1,2,4] => 6
[6,5,2,3,4,1] => [4,5,6,3,2,1] => [6,5,4,1,2,3] => 7
[6,5,2,4,1,3] => [6,5,3,4,2,1] => [6,5,1,4,3,2] => 7
[6,5,2,4,3,1] => [4,6,5,3,2,1] => [6,5,4,2,3,1] => 9
[6,5,3,1,2,4] => [4,5,3,6,2,1] => [6,5,3,1,2,4] => 6
[6,5,3,1,4,2] => [4,5,6,3,2,1] => [6,5,4,1,2,3] => 7
[6,5,3,2,1,4] => [5,4,3,6,2,1] => [6,5,3,2,1,4] => 7
[6,5,3,2,4,1] => [5,4,6,3,2,1] => [6,5,4,2,1,3] => 8
[6,5,3,4,1,2] => [6,5,4,3,2,1] => [6,5,4,3,2,1] => 10
[6,5,3,4,2,1] => [5,6,4,3,2,1] => [6,5,4,3,1,2] => 9
[6,5,4,1,2,3] => [4,5,6,3,2,1] => [6,5,4,1,2,3] => 7
[6,5,4,1,3,2] => [4,6,5,3,2,1] => [6,5,4,2,3,1] => 9
[6,5,4,2,1,3] => [5,4,6,3,2,1] => [6,5,4,2,1,3] => 8
[6,5,4,2,3,1] => [5,6,4,3,2,1] => [6,5,4,3,1,2] => 9
[6,5,4,3,1,2] => [5,6,4,3,2,1] => [6,5,4,3,1,2] => 9
[6,5,4,3,2,1] => [6,5,4,3,2,1] => [6,5,4,3,2,1] => 10
[1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[1,2,3,4,5,7,6] => [1,2,3,4,5,7,6] => [2,3,4,5,6,7,1] => 0
[1,2,3,4,6,5,7] => [1,2,3,4,6,5,7] => [2,3,4,5,6,1,7] => 0
[1,2,3,4,6,7,5] => [1,2,3,4,6,7,5] => [2,3,4,5,7,1,6] => 0
[1,2,3,4,7,5,6] => [1,2,3,4,6,7,5] => [2,3,4,5,7,1,6] => 0
[1,2,3,5,4,6,7] => [1,2,3,5,4,6,7] => [2,3,4,5,1,6,7] => 0
[1,2,3,5,4,7,6] => [1,2,3,5,4,7,6] => [3,4,5,6,2,7,1] => 1
[1,2,3,5,6,7,4] => [1,2,3,5,6,7,4] => [2,3,4,7,1,5,6] => 0
[1,2,3,6,4,7,5] => [1,2,3,5,6,7,4] => [2,3,4,7,1,5,6] => 0
[1,2,3,7,4,5,6] => [1,2,3,5,6,7,4] => [2,3,4,7,1,5,6] => 0
[1,2,4,3,5,6,7] => [1,2,4,3,5,6,7] => [2,3,4,1,5,6,7] => 0
[1,2,4,3,5,7,6] => [1,2,4,3,5,7,6] => [3,4,5,2,6,7,1] => 1
[1,2,5,6,3,4,7] => [1,2,6,5,4,3,7] => [4,5,6,3,2,1,7] => 3
[1,2,6,5,4,3,7] => [1,2,6,5,4,3,7] => [4,5,6,3,2,1,7] => 3
[1,3,2,4,5,6,7] => [1,3,2,4,5,6,7] => [2,3,1,4,5,6,7] => 0
[1,3,2,4,5,7,6] => [1,3,2,4,5,7,6] => [3,4,2,5,6,7,1] => 1
[1,3,2,6,5,4,7] => [1,3,2,6,5,4,7] => [4,5,3,6,2,1,7] => 3
[1,3,4,2,5,6,7] => [1,3,4,2,5,6,7] => [2,4,1,3,5,6,7] => 0
[1,3,4,5,2,6,7] => [1,3,4,5,2,6,7] => [2,5,1,3,4,6,7] => 0
[1,3,4,5,6,2,7] => [1,3,4,5,6,2,7] => [2,6,1,3,4,5,7] => 0
[1,3,4,5,6,7,2] => [1,3,4,5,6,7,2] => [2,7,1,3,4,5,6] => 0
[1,3,5,7,6,2,4] => [1,4,5,6,7,2,3] => [2,1,7,3,4,5,6] => 0
[1,3,6,5,2,4,7] => [1,4,5,6,2,3,7] => [2,1,6,3,4,5,7] => 0
[1,3,6,7,4,2,5] => [1,4,5,6,7,2,3] => [2,1,7,3,4,5,6] => 0
[1,4,2,3,5,6,7] => [1,3,4,2,5,6,7] => [2,4,1,3,5,6,7] => 0
[1,4,2,5,3,6,7] => [1,3,4,5,2,6,7] => [2,5,1,3,4,6,7] => 0
[1,4,2,5,6,3,7] => [1,3,4,5,6,2,7] => [2,6,1,3,4,5,7] => 0
[1,4,2,5,6,7,3] => [1,3,4,5,6,7,2] => [2,7,1,3,4,5,6] => 0
[1,4,6,3,2,5,7] => [1,4,5,6,2,3,7] => [2,1,6,3,4,5,7] => 0
[1,4,7,5,2,3,6] => [1,4,5,6,7,2,3] => [2,1,7,3,4,5,6] => 0
[1,5,2,3,4,6,7] => [1,3,4,5,2,6,7] => [2,5,1,3,4,6,7] => 0
[1,5,2,3,6,4,7] => [1,3,4,5,6,2,7] => [2,6,1,3,4,5,7] => 0
[1,5,2,3,6,7,4] => [1,3,4,5,6,7,2] => [2,7,1,3,4,5,6] => 0
[1,5,6,3,4,2,7] => [1,6,5,4,3,2,7] => [5,6,4,3,2,1,7] => 6
[1,5,6,4,2,3,7] => [1,6,5,4,3,2,7] => [5,6,4,3,2,1,7] => 6
[1,5,7,3,2,4,6] => [1,4,5,6,7,2,3] => [2,1,7,3,4,5,6] => 0
[1,6,2,3,4,5,7] => [1,3,4,5,6,2,7] => [2,6,1,3,4,5,7] => 0
[1,6,2,3,4,7,5] => [1,3,4,5,6,7,2] => [2,7,1,3,4,5,6] => 0
[1,6,4,5,2,3,7] => [1,6,5,4,3,2,7] => [5,6,4,3,2,1,7] => 6
[1,6,5,4,3,2,7] => [1,6,5,4,3,2,7] => [5,6,4,3,2,1,7] => 6
[1,7,2,3,4,5,6] => [1,3,4,5,6,7,2] => [2,7,1,3,4,5,6] => 0
[2,1,3,4,5,6,7] => [2,1,3,4,5,6,7] => [2,1,3,4,5,6,7] => 0
[2,1,3,4,5,7,6] => [2,1,3,4,5,7,6] => [3,2,4,5,6,7,1] => 1
[2,1,4,3,5,7,6] => [2,1,4,3,5,7,6] => [4,3,5,2,6,7,1] => 3
[2,1,5,6,3,4,7] => [2,1,6,5,4,3,7] => [5,4,6,3,2,1,7] => 6
[2,1,6,5,4,3,7] => [2,1,6,5,4,3,7] => [5,4,6,3,2,1,7] => 6
[2,3,1,4,5,6,7] => [2,3,1,4,5,6,7] => [3,1,2,4,5,6,7] => 0
[2,3,1,4,5,7,6] => [2,3,1,4,5,7,6] => [4,2,3,5,6,7,1] => 2
[2,3,4,1,5,6,7] => [2,3,4,1,5,6,7] => [4,1,2,3,5,6,7] => 0
[2,3,4,1,5,7,6] => [2,3,4,1,5,7,6] => [5,2,3,4,6,7,1] => 3
[2,3,4,5,1,6,7] => [2,3,4,5,1,6,7] => [5,1,2,3,4,6,7] => 0
[2,3,4,5,1,7,6] => [2,3,4,5,1,7,6] => [6,2,3,4,5,7,1] => 4
[2,3,4,5,6,1,7] => [2,3,4,5,6,1,7] => [6,1,2,3,4,5,7] => 0
[2,3,4,5,6,7,1] => [2,3,4,5,6,7,1] => [7,1,2,3,4,5,6] => 0
[2,3,4,6,5,7,1] => [2,3,4,6,5,7,1] => [7,2,3,4,5,1,6] => 4
[2,3,4,7,5,1,6] => [2,3,7,6,5,1,4] => [1,5,6,7,4,3,2] => 3
[2,3,5,4,6,7,1] => [2,3,5,4,6,7,1] => [7,2,3,4,1,5,6] => 3
[2,3,5,7,6,1,4] => [2,4,5,6,7,1,3] => [1,3,7,2,4,5,6] => 0
[2,3,6,1,7,5,4] => [2,6,4,1,7,5,3] => [6,4,7,3,5,1,2] => 7
[2,3,6,5,4,1,7] => [2,3,6,5,4,1,7] => [6,3,4,5,2,1,7] => 7
[2,3,6,7,4,1,5] => [2,4,5,6,7,1,3] => [1,3,7,2,4,5,6] => 0
[2,3,7,1,5,6,4] => [2,6,4,1,7,5,3] => [6,4,7,3,5,1,2] => 7
[2,3,7,1,6,4,5] => [2,6,4,1,7,5,3] => [6,4,7,3,5,1,2] => 7
[2,3,7,5,4,1,6] => [2,7,6,5,4,1,3] => [1,6,7,5,4,3,2] => 6
[2,4,3,5,6,7,1] => [2,4,3,5,6,7,1] => [7,2,3,1,4,5,6] => 2
[2,4,3,5,7,1,6] => [2,4,3,7,6,1,5] => [1,5,6,4,7,3,2] => 3
[2,4,3,6,5,1,7] => [2,4,3,6,5,1,7] => [6,3,4,2,5,1,7] => 6
[2,4,3,7,5,1,6] => [2,7,3,6,5,1,4] => [1,5,4,7,6,3,2] => 5
[2,4,5,7,6,1,3] => [3,4,5,6,7,1,2] => [1,7,2,3,4,5,6] => 0
[2,4,6,5,1,7,3] => [3,4,5,6,1,7,2] => [6,7,1,2,3,4,5] => 0
[2,4,6,7,5,1,3] => [3,4,7,6,5,1,2] => [1,7,4,5,6,3,2] => 7
[2,4,7,5,6,1,3] => [3,4,7,6,5,1,2] => [1,7,4,5,6,3,2] => 7
[2,4,7,6,3,1,5] => [2,7,6,5,4,1,3] => [1,6,7,5,4,3,2] => 6
[2,5,1,6,4,3,7] => [5,3,1,6,4,2,7] => [5,6,3,4,1,2,7] => 4
[2,5,4,1,6,3,7] => [3,4,5,1,6,2,7] => [5,6,1,2,3,4,7] => 0
[2,5,4,6,7,1,3] => [3,5,4,7,6,1,2] => [1,7,4,5,3,6,2] => 6
[2,5,6,1,3,4,7] => [6,5,4,1,3,2,7] => [2,6,5,4,3,1,7] => 6
[2,5,6,3,1,7,4] => [3,4,5,6,1,7,2] => [6,7,1,2,3,4,5] => 0
[2,6,1,4,5,3,7] => [5,3,1,6,4,2,7] => [5,6,3,4,1,2,7] => 4
[2,6,1,5,3,4,7] => [5,3,1,6,4,2,7] => [5,6,3,4,1,2,7] => 4
[2,6,4,1,3,5,7] => [3,4,5,1,6,2,7] => [5,6,1,2,3,4,7] => 0
[2,7,3,6,4,1,5] => [4,7,6,5,3,1,2] => [1,7,6,4,5,3,2] => 9
[2,7,5,3,6,1,4] => [3,7,4,6,5,1,2] => [1,7,4,3,6,5,2] => 6
[2,7,5,4,3,1,6] => [7,6,5,4,3,1,2] => [1,7,6,5,4,3,2] => 10
[3,1,2,4,5,6,7] => [2,3,1,4,5,6,7] => [3,1,2,4,5,6,7] => 0
[3,1,2,4,5,7,6] => [2,3,1,4,5,7,6] => [4,2,3,5,6,7,1] => 2
[3,1,4,2,5,6,7] => [2,3,4,1,5,6,7] => [4,1,2,3,5,6,7] => 0
[3,1,4,2,5,7,6] => [2,3,4,1,5,7,6] => [5,2,3,4,6,7,1] => 3
[3,1,4,5,2,6,7] => [2,3,4,5,1,6,7] => [5,1,2,3,4,6,7] => 0
[3,1,4,5,2,7,6] => [2,3,4,5,1,7,6] => [6,2,3,4,5,7,1] => 4
[3,1,4,5,6,2,7] => [2,3,4,5,6,1,7] => [6,1,2,3,4,5,7] => 0
[3,1,4,5,6,7,2] => [2,3,4,5,6,7,1] => [7,1,2,3,4,5,6] => 0
[3,1,4,6,5,7,2] => [2,3,4,6,5,7,1] => [7,2,3,4,5,1,6] => 4
[3,1,4,7,5,2,6] => [2,3,7,6,5,1,4] => [1,5,6,7,4,3,2] => 3
[3,1,5,4,6,7,2] => [2,3,5,4,6,7,1] => [7,2,3,4,1,5,6] => 3
[3,1,5,7,6,2,4] => [2,4,5,6,7,1,3] => [1,3,7,2,4,5,6] => 0
[3,1,6,2,7,5,4] => [2,6,4,1,7,5,3] => [6,4,7,3,5,1,2] => 7
[3,1,6,5,4,2,7] => [2,3,6,5,4,1,7] => [6,3,4,5,2,1,7] => 7
[3,1,6,7,4,2,5] => [2,4,5,6,7,1,3] => [1,3,7,2,4,5,6] => 0
[3,1,7,2,5,6,4] => [2,6,4,1,7,5,3] => [6,4,7,3,5,1,2] => 7
[3,1,7,2,6,4,5] => [2,6,4,1,7,5,3] => [6,4,7,3,5,1,2] => 7
[3,1,7,5,4,2,6] => [2,7,6,5,4,1,3] => [1,6,7,5,4,3,2] => 6
[3,2,1,4,5,6,7] => [3,2,1,4,5,6,7] => [3,2,1,4,5,6,7] => 1
[3,2,1,4,5,7,6] => [3,2,1,4,5,7,6] => [4,3,2,5,6,7,1] => 3
[3,2,1,6,5,4,7] => [3,2,1,6,5,4,7] => [5,4,3,6,2,1,7] => 6
[3,2,4,1,5,7,6] => [3,2,4,1,5,7,6] => [5,3,2,4,6,7,1] => 4
[3,2,4,5,6,7,1] => [3,2,4,5,6,7,1] => [7,2,1,3,4,5,6] => 1
[3,2,4,7,5,1,6] => [3,2,7,6,5,1,4] => [1,6,5,7,4,3,2] => 6
[3,2,5,4,6,7,1] => [3,2,5,4,6,7,1] => [7,3,2,4,1,5,6] => 4
[3,2,5,7,6,1,4] => [4,2,5,6,7,1,3] => [1,4,7,2,3,5,6] => 0
[3,2,6,5,4,1,7] => [3,2,6,5,4,1,7] => [6,4,3,5,2,1,7] => 8
[3,2,6,7,4,1,5] => [4,2,5,6,7,1,3] => [1,4,7,2,3,5,6] => 0
[3,2,7,5,4,1,6] => [7,2,6,5,4,1,3] => [1,5,7,6,4,3,2] => 6
[3,4,1,2,5,6,7] => [4,3,2,1,5,6,7] => [4,3,2,1,5,6,7] => 3
[3,4,1,2,6,5,7] => [4,3,2,1,6,5,7] => [5,4,3,2,6,1,7] => 6
[3,4,1,5,6,7,2] => [4,3,2,5,6,7,1] => [7,3,2,1,4,5,6] => 3
[3,4,1,5,7,2,6] => [4,3,2,7,6,1,5] => [1,6,5,4,7,3,2] => 6
[3,4,1,6,5,2,7] => [4,3,2,6,5,1,7] => [6,4,3,2,5,1,7] => 7
[3,4,2,5,6,7,1] => [3,4,2,5,6,7,1] => [7,3,1,2,4,5,6] => 2
[3,4,2,7,5,1,6] => [3,7,2,6,5,1,4] => [1,4,6,7,5,3,2] => 3
[3,4,5,2,6,7,1] => [3,4,5,2,6,7,1] => [7,4,1,2,3,5,6] => 3
[3,4,5,6,2,7,1] => [3,4,5,6,2,7,1] => [7,5,1,2,3,4,6] => 4
[3,4,5,6,7,2,1] => [3,4,5,6,7,2,1] => [7,6,1,2,3,4,5] => 5
[3,4,5,7,6,1,2] => [3,4,5,6,7,2,1] => [7,6,1,2,3,4,5] => 5
[3,4,6,5,1,7,2] => [3,4,5,6,2,7,1] => [7,5,1,2,3,4,6] => 4
[3,4,7,2,5,1,6] => [7,6,5,2,4,1,3] => [1,3,7,6,5,4,2] => 6
[3,5,2,1,6,4,7] => [3,4,5,1,6,2,7] => [5,6,1,2,3,4,7] => 0
[3,5,2,6,7,1,4] => [3,5,4,7,6,1,2] => [1,7,4,5,3,6,2] => 6
[3,5,4,1,6,7,2] => [3,4,5,2,6,7,1] => [7,4,1,2,3,5,6] => 3
[3,5,6,4,1,2,7] => [3,6,5,4,2,1,7] => [6,5,3,4,2,1,7] => 9
[3,5,6,7,1,2,4] => [4,7,6,5,3,1,2] => [1,7,6,4,5,3,2] => 9
[3,5,7,6,2,1,4] => [4,7,6,5,3,1,2] => [1,7,6,4,5,3,2] => 9
[3,6,1,4,2,7,5] => [5,3,6,4,1,7,2] => [6,7,3,4,1,2,5] => 4
[3,6,2,1,4,5,7] => [3,4,5,1,6,2,7] => [5,6,1,2,3,4,7] => 0
[3,6,2,7,5,4,1] => [6,4,2,7,5,3,1] => [7,5,6,3,4,1,2] => 12
[3,6,4,1,2,7,5] => [3,4,5,6,1,7,2] => [6,7,1,2,3,4,5] => 0
[3,6,4,5,1,2,7] => [3,6,5,4,2,1,7] => [6,5,3,4,2,1,7] => 9
[3,6,5,2,7,4,1] => [4,5,6,2,7,3,1] => [7,5,6,1,2,3,4] => 8
[3,6,5,4,2,1,7] => [3,6,5,4,2,1,7] => [6,5,3,4,2,1,7] => 9
[3,6,7,4,1,2,5] => [7,6,5,4,3,1,2] => [1,7,6,5,4,3,2] => 10
[3,7,1,4,2,5,6] => [5,3,6,4,1,7,2] => [6,7,3,4,1,2,5] => 4
[3,7,2,5,6,4,1] => [6,4,2,7,5,3,1] => [7,5,6,3,4,1,2] => 12
[3,7,2,6,4,5,1] => [6,4,2,7,5,3,1] => [7,5,6,3,4,1,2] => 12
[3,7,4,1,2,5,6] => [3,4,5,6,1,7,2] => [6,7,1,2,3,4,5] => 0
[3,7,5,2,4,6,1] => [4,5,6,2,7,3,1] => [7,5,6,1,2,3,4] => 8
[3,7,6,4,2,1,5] => [7,6,5,4,3,1,2] => [1,7,6,5,4,3,2] => 10
[4,1,2,3,5,6,7] => [2,3,4,1,5,6,7] => [4,1,2,3,5,6,7] => 0
[4,1,2,3,5,7,6] => [2,3,4,1,5,7,6] => [5,2,3,4,6,7,1] => 3
[4,1,2,5,3,6,7] => [2,3,4,5,1,6,7] => [5,1,2,3,4,6,7] => 0
[4,1,2,5,3,7,6] => [2,3,4,5,1,7,6] => [6,2,3,4,5,7,1] => 4
[4,1,2,5,6,3,7] => [2,3,4,5,6,1,7] => [6,1,2,3,4,5,7] => 0
[4,1,2,5,6,7,3] => [2,3,4,5,6,7,1] => [7,1,2,3,4,5,6] => 0
[4,1,2,6,5,7,3] => [2,3,4,6,5,7,1] => [7,2,3,4,5,1,6] => 4
[4,1,2,7,5,3,6] => [2,3,7,6,5,1,4] => [1,5,6,7,4,3,2] => 3
[4,1,3,5,6,7,2] => [2,4,3,5,6,7,1] => [7,2,3,1,4,5,6] => 2
[4,1,3,5,7,2,6] => [2,4,3,7,6,1,5] => [1,5,6,4,7,3,2] => 3
[4,1,3,6,5,2,7] => [2,4,3,6,5,1,7] => [6,3,4,2,5,1,7] => 6
[4,1,3,7,5,2,6] => [2,7,3,6,5,1,4] => [1,5,4,7,6,3,2] => 5
[4,1,6,7,2,3,5] => [2,7,6,5,4,1,3] => [1,6,7,5,4,3,2] => 6
[4,1,7,5,2,3,6] => [2,4,5,6,7,1,3] => [1,3,7,2,4,5,6] => 0
[4,1,7,6,3,2,5] => [2,7,6,5,4,1,3] => [1,6,7,5,4,3,2] => 6
[4,2,1,3,5,7,6] => [3,2,4,1,5,7,6] => [5,3,2,4,6,7,1] => 4
[4,2,1,5,6,7,3] => [3,2,4,5,6,7,1] => [7,2,1,3,4,5,6] => 1
[4,2,1,7,5,3,6] => [3,2,7,6,5,1,4] => [1,6,5,7,4,3,2] => 6
[4,2,3,5,6,7,1] => [3,4,2,5,6,7,1] => [7,3,1,2,4,5,6] => 2
[4,2,3,7,5,1,6] => [3,7,2,6,5,1,4] => [1,4,6,7,5,3,2] => 3
[4,2,5,3,6,7,1] => [3,4,5,2,6,7,1] => [7,4,1,2,3,5,6] => 3
[4,2,5,6,3,7,1] => [3,4,5,6,2,7,1] => [7,5,1,2,3,4,6] => 4
[4,2,5,6,7,3,1] => [3,4,5,6,7,2,1] => [7,6,1,2,3,4,5] => 5
[4,2,6,7,1,3,5] => [7,2,6,5,4,1,3] => [1,5,7,6,4,3,2] => 6
[4,2,7,3,5,1,6] => [7,6,5,2,4,1,3] => [1,3,7,6,5,4,2] => 6
[4,2,7,5,1,3,6] => [4,2,5,6,7,1,3] => [1,4,7,2,3,5,6] => 0
[4,3,1,5,6,7,2] => [3,4,2,5,6,7,1] => [7,3,1,2,4,5,6] => 2
[4,3,1,7,5,2,6] => [3,7,2,6,5,1,4] => [1,4,6,7,5,3,2] => 3
[4,3,2,1,5,6,7] => [4,3,2,1,5,6,7] => [4,3,2,1,5,6,7] => 3
[4,3,2,1,6,5,7] => [4,3,2,1,6,5,7] => [5,4,3,2,6,1,7] => 6
[4,3,2,5,6,7,1] => [4,3,2,5,6,7,1] => [7,3,2,1,4,5,6] => 3
[4,3,2,5,7,1,6] => [4,3,2,7,6,1,5] => [1,6,5,4,7,3,2] => 6
[4,3,2,6,5,1,7] => [4,3,2,6,5,1,7] => [6,4,3,2,5,1,7] => 7
[4,3,5,2,6,7,1] => [4,3,5,2,6,7,1] => [7,4,2,1,3,5,6] => 4
[4,5,1,2,6,7,3] => [4,3,5,2,6,7,1] => [7,4,2,1,3,5,6] => 4
[4,5,2,1,6,7,3] => [3,4,5,2,6,7,1] => [7,4,1,2,3,5,6] => 3
[4,5,2,3,1,6,7] => [5,4,3,2,1,6,7] => [5,4,3,2,1,6,7] => 6
[4,5,3,1,2,6,7] => [5,4,3,2,1,6,7] => [5,4,3,2,1,6,7] => 6
[4,5,6,1,2,3,7] => [6,5,4,3,2,1,7] => [6,5,4,3,2,1,7] => 10
[4,5,6,7,3,2,1] => [4,5,6,7,3,2,1] => [7,6,5,1,2,3,4] => 9
[4,5,7,6,2,3,1] => [4,5,6,7,3,2,1] => [7,6,5,1,2,3,4] => 9
[4,5,7,6,3,1,2] => [4,5,6,7,3,2,1] => [7,6,5,1,2,3,4] => 9
[4,6,2,1,3,7,5] => [3,4,5,6,1,7,2] => [6,7,1,2,3,4,5] => 0
[4,6,3,2,7,5,1] => [4,5,6,2,7,3,1] => [7,5,6,1,2,3,4] => 8
[4,6,3,7,1,2,5] => [7,6,3,5,4,1,2] => [1,7,3,6,5,4,2] => 7
[4,6,5,2,1,3,7] => [6,5,4,3,2,1,7] => [6,5,4,3,2,1,7] => 10
[4,6,7,5,2,1,3] => [4,5,6,7,3,2,1] => [7,6,5,1,2,3,4] => 9
[4,7,1,3,6,2,5] => [7,3,6,5,4,1,2] => [1,7,4,6,5,3,2] => 8
[4,7,2,1,3,5,6] => [3,4,5,6,1,7,2] => [6,7,1,2,3,4,5] => 0
[4,7,3,2,5,6,1] => [4,5,6,2,7,3,1] => [7,5,6,1,2,3,4] => 8
[4,7,3,2,6,1,5] => [4,7,6,5,3,1,2] => [1,7,6,4,5,3,2] => 9
[4,7,5,6,2,1,3] => [4,5,6,7,3,2,1] => [7,6,5,1,2,3,4] => 9
[4,7,6,5,1,2,3] => [4,5,6,7,3,2,1] => [7,6,5,1,2,3,4] => 9
[5,1,2,3,4,6,7] => [2,3,4,5,1,6,7] => [5,1,2,3,4,6,7] => 0
[5,1,2,3,4,7,6] => [2,3,4,5,1,7,6] => [6,2,3,4,5,7,1] => 4
[5,1,2,3,6,4,7] => [2,3,4,5,6,1,7] => [6,1,2,3,4,5,7] => 0
[5,1,2,3,6,7,4] => [2,3,4,5,6,7,1] => [7,1,2,3,4,5,6] => 0
[5,1,2,4,6,7,3] => [2,3,5,4,6,7,1] => [7,2,3,4,1,5,6] => 3
[5,1,2,6,3,4,7] => [2,3,6,5,4,1,7] => [6,3,4,5,2,1,7] => 7
[5,1,3,2,6,7,4] => [2,4,3,5,6,7,1] => [7,2,3,1,4,5,6] => 2
[5,1,3,2,7,4,6] => [2,4,3,7,6,1,5] => [1,5,6,4,7,3,2] => 3
[5,1,3,6,2,4,7] => [2,6,3,5,4,1,7] => [6,3,2,5,4,1,7] => 6
[5,1,7,3,2,4,6] => [2,4,5,6,7,1,3] => [1,3,7,2,4,5,6] => 0
[5,2,1,3,6,7,4] => [3,2,4,5,6,7,1] => [7,2,1,3,4,5,6] => 1
[5,2,1,4,6,7,3] => [3,2,5,4,6,7,1] => [7,3,2,4,1,5,6] => 4
[5,2,1,6,3,4,7] => [3,2,6,5,4,1,7] => [6,4,3,5,2,1,7] => 8
[5,2,3,1,6,7,4] => [3,4,2,5,6,7,1] => [7,3,1,2,4,5,6] => 2
[5,2,3,4,6,7,1] => [3,4,5,2,6,7,1] => [7,4,1,2,3,5,6] => 3
[5,2,3,6,1,4,7] => [3,6,2,5,4,1,7] => [6,2,4,5,3,1,7] => 6
[5,2,3,6,4,7,1] => [3,4,5,6,2,7,1] => [7,5,1,2,3,4,6] => 4
[5,2,3,6,7,4,1] => [3,4,5,6,7,2,1] => [7,6,1,2,3,4,5] => 5
[5,2,6,3,4,1,7] => [3,6,5,4,2,1,7] => [6,5,3,4,2,1,7] => 9
[5,3,1,2,6,7,4] => [3,4,2,5,6,7,1] => [7,3,1,2,4,5,6] => 2
[5,3,1,4,6,7,2] => [3,4,5,2,6,7,1] => [7,4,1,2,3,5,6] => 3
[5,3,1,6,2,4,7] => [3,6,2,5,4,1,7] => [6,2,4,5,3,1,7] => 6
[5,3,1,6,4,7,2] => [3,4,5,6,2,7,1] => [7,5,1,2,3,4,6] => 4
[5,3,1,6,7,4,2] => [3,4,5,6,7,2,1] => [7,6,1,2,3,4,5] => 5
[5,3,2,1,6,7,4] => [4,3,2,5,6,7,1] => [7,3,2,1,4,5,6] => 3
[5,3,2,1,7,4,6] => [4,3,2,7,6,1,5] => [1,6,5,4,7,3,2] => 6
[5,3,2,4,6,7,1] => [4,3,5,2,6,7,1] => [7,4,2,1,3,5,6] => 4
[5,3,4,1,2,6,7] => [5,4,3,2,1,6,7] => [5,4,3,2,1,6,7] => 6
[5,3,6,7,4,2,1] => [4,5,6,7,3,2,1] => [7,6,5,1,2,3,4] => 9
[5,3,7,6,4,1,2] => [4,5,6,7,3,2,1] => [7,6,5,1,2,3,4] => 9
[5,4,1,2,6,7,3] => [3,4,5,2,6,7,1] => [7,4,1,2,3,5,6] => 3
[5,4,2,1,6,7,3] => [4,3,5,2,6,7,1] => [7,4,2,1,3,5,6] => 4
[5,4,3,2,1,6,7] => [5,4,3,2,1,6,7] => [5,4,3,2,1,6,7] => 6
[5,4,6,1,3,2,7] => [6,5,4,3,2,1,7] => [6,5,4,3,2,1,7] => 10
[5,4,6,7,1,3,2] => [6,4,7,5,3,2,1] => [7,6,5,3,4,1,2] => 13
[5,6,2,1,3,7,4] => [3,4,5,6,2,7,1] => [7,5,1,2,3,4,6] => 4
[5,6,3,4,2,1,7] => [6,5,4,3,2,1,7] => [6,5,4,3,2,1,7] => 10
[5,6,4,2,3,1,7] => [6,5,4,3,2,1,7] => [6,5,4,3,2,1,7] => 10
[5,6,4,3,1,2,7] => [6,5,4,3,2,1,7] => [6,5,4,3,2,1,7] => 10
[5,6,7,2,3,4,1] => [7,6,5,4,3,2,1] => [7,6,5,4,3,2,1] => 15
[5,6,7,2,4,3,1] => [6,7,5,4,3,2,1] => [7,6,5,4,3,1,2] => 14
[5,6,7,3,1,4,2] => [7,6,5,4,3,2,1] => [7,6,5,4,3,2,1] => 15
[5,6,7,3,2,1,4] => [4,5,6,7,3,2,1] => [7,6,5,1,2,3,4] => 9
[5,6,7,3,4,1,2] => [5,6,7,4,3,2,1] => [7,6,5,4,1,2,3] => 12
[5,6,7,4,1,2,3] => [7,6,5,4,3,2,1] => [7,6,5,4,3,2,1] => 15
[5,6,7,4,1,3,2] => [6,7,5,4,3,2,1] => [7,6,5,4,3,1,2] => 14
[5,6,7,4,3,2,1] => [5,6,7,4,3,2,1] => [7,6,5,4,1,2,3] => 12
[5,7,2,1,3,4,6] => [3,4,5,6,7,1,2] => [1,7,2,3,4,5,6] => 0
[5,7,3,6,1,2,4] => [5,6,3,7,4,2,1] => [7,6,4,5,1,2,3] => 11
[5,7,3,6,2,4,1] => [6,7,5,4,3,2,1] => [7,6,5,4,3,1,2] => 14
[5,7,6,1,4,3,2] => [6,4,7,5,3,2,1] => [7,6,5,3,4,1,2] => 13
[5,7,6,2,3,1,4] => [4,5,6,7,3,2,1] => [7,6,5,1,2,3,4] => 9
[5,7,6,3,1,2,4] => [4,5,6,7,3,2,1] => [7,6,5,1,2,3,4] => 9
[5,7,6,3,2,4,1] => [7,6,5,4,3,2,1] => [7,6,5,4,3,2,1] => 15
[5,7,6,3,4,2,1] => [5,6,7,4,3,2,1] => [7,6,5,4,1,2,3] => 12
[5,7,6,4,2,1,3] => [7,6,5,4,3,2,1] => [7,6,5,4,3,2,1] => 15
[5,7,6,4,2,3,1] => [5,6,7,4,3,2,1] => [7,6,5,4,1,2,3] => 12
[5,7,6,4,3,1,2] => [5,6,7,4,3,2,1] => [7,6,5,4,1,2,3] => 12
[6,1,2,3,4,5,7] => [2,3,4,5,6,1,7] => [6,1,2,3,4,5,7] => 0
[6,1,2,3,4,7,5] => [2,3,4,5,6,7,1] => [7,1,2,3,4,5,6] => 0
[6,1,2,3,5,7,4] => [2,3,4,6,5,7,1] => [7,2,3,4,5,1,6] => 4
[6,1,2,4,3,7,5] => [2,3,5,4,6,7,1] => [7,2,3,4,1,5,6] => 3
[6,1,2,5,4,3,7] => [2,3,6,5,4,1,7] => [6,3,4,5,2,1,7] => 7
[6,1,3,2,4,7,5] => [2,4,3,5,6,7,1] => [7,2,3,1,4,5,6] => 2
[6,1,3,2,5,4,7] => [2,4,3,6,5,1,7] => [6,3,4,2,5,1,7] => 6
[6,2,1,3,4,7,5] => [3,2,4,5,6,7,1] => [7,2,1,3,4,5,6] => 1
[6,2,1,4,3,7,5] => [3,2,5,4,6,7,1] => [7,3,2,4,1,5,6] => 4
[6,2,1,5,4,3,7] => [3,2,6,5,4,1,7] => [6,4,3,5,2,1,7] => 8
[6,2,3,1,4,7,5] => [3,4,2,5,6,7,1] => [7,3,1,2,4,5,6] => 2
[6,2,3,4,1,7,5] => [3,4,5,2,6,7,1] => [7,4,1,2,3,5,6] => 3
[6,2,3,4,5,7,1] => [3,4,5,6,2,7,1] => [7,5,1,2,3,4,6] => 4
[6,2,3,4,7,5,1] => [3,4,5,6,7,2,1] => [7,6,1,2,3,4,5] => 5
[6,2,5,4,3,1,7] => [3,6,5,4,2,1,7] => [6,5,3,4,2,1,7] => 9
[6,3,1,2,4,7,5] => [3,4,2,5,6,7,1] => [7,3,1,2,4,5,6] => 2
[6,3,1,4,2,7,5] => [3,4,5,2,6,7,1] => [7,4,1,2,3,5,6] => 3
[6,3,1,4,5,7,2] => [3,4,5,6,2,7,1] => [7,5,1,2,3,4,6] => 4
[6,3,1,4,7,5,2] => [3,4,5,6,7,2,1] => [7,6,1,2,3,4,5] => 5
[6,3,2,1,4,7,5] => [4,3,2,5,6,7,1] => [7,3,2,1,4,5,6] => 3
[6,3,2,1,5,4,7] => [4,3,2,6,5,1,7] => [6,4,3,2,5,1,7] => 7
[6,3,2,4,1,7,5] => [4,3,5,2,6,7,1] => [7,4,2,1,3,5,6] => 4
[6,3,4,7,5,2,1] => [4,5,6,7,3,2,1] => [7,6,5,1,2,3,4] => 9
[6,4,1,2,3,7,5] => [3,4,5,2,6,7,1] => [7,4,1,2,3,5,6] => 3
[6,4,1,2,5,7,3] => [3,4,5,6,2,7,1] => [7,5,1,2,3,4,6] => 4
[6,4,1,2,7,5,3] => [3,4,5,6,7,2,1] => [7,6,1,2,3,4,5] => 5
[6,4,1,5,2,3,7] => [3,6,5,4,2,1,7] => [6,5,3,4,2,1,7] => 9
[6,4,2,1,3,7,5] => [4,3,5,2,6,7,1] => [7,4,2,1,3,5,6] => 4
[6,4,2,7,5,3,1] => [4,5,6,7,3,2,1] => [7,6,5,1,2,3,4] => 9
[6,4,5,2,3,1,7] => [6,5,4,3,2,1,7] => [6,5,4,3,2,1,7] => 10
[6,4,5,3,1,2,7] => [6,5,4,3,2,1,7] => [6,5,4,3,2,1,7] => 10
[6,4,7,3,5,1,2] => [6,4,7,5,3,2,1] => [7,6,5,3,4,1,2] => 13
[6,4,7,5,1,2,3] => [7,6,5,4,3,2,1] => [7,6,5,4,3,2,1] => 15
[6,4,7,5,1,3,2] => [6,7,5,4,3,2,1] => [7,6,5,4,3,1,2] => 14
[6,4,7,5,3,2,1] => [5,6,7,4,3,2,1] => [7,6,5,4,1,2,3] => 12
[6,5,1,2,3,7,4] => [3,4,5,6,2,7,1] => [7,5,1,2,3,4,6] => 4
[6,5,1,4,3,2,7] => [3,6,5,4,2,1,7] => [6,5,3,4,2,1,7] => 9
[6,5,3,4,1,2,7] => [6,5,4,3,2,1,7] => [6,5,4,3,2,1,7] => 10
[6,5,4,3,2,1,7] => [6,5,4,3,2,1,7] => [6,5,4,3,2,1,7] => 10
[6,5,7,2,3,4,1] => [6,7,5,4,3,2,1] => [7,6,5,4,3,1,2] => 14
[6,5,7,2,4,1,3] => [6,4,7,5,3,2,1] => [7,6,5,3,4,1,2] => 13
[6,5,7,2,4,3,1] => [7,6,5,4,3,2,1] => [7,6,5,4,3,2,1] => 15
[6,5,7,3,1,4,2] => [6,7,5,4,3,2,1] => [7,6,5,4,3,1,2] => 14
[6,5,7,4,1,2,3] => [6,7,5,4,3,2,1] => [7,6,5,4,3,1,2] => 14
[6,5,7,4,1,3,2] => [7,6,5,4,3,2,1] => [7,6,5,4,3,2,1] => 15
[6,7,2,1,3,4,5] => [3,4,5,6,7,2,1] => [7,6,1,2,3,4,5] => 5
[6,7,2,4,1,5,3] => [5,6,3,7,4,2,1] => [7,6,4,5,1,2,3] => 11
[6,7,2,4,5,3,1] => [6,4,7,5,3,2,1] => [7,6,5,3,4,1,2] => 13
[6,7,2,5,1,3,4] => [5,6,3,7,4,2,1] => [7,6,4,5,1,2,3] => 11
[6,7,2,5,3,4,1] => [6,4,7,5,3,2,1] => [7,6,5,3,4,1,2] => 13
[6,7,3,2,4,5,1] => [4,5,6,7,3,2,1] => [7,6,5,1,2,3,4] => 9
[6,7,4,1,5,3,2] => [6,4,7,5,3,2,1] => [7,6,5,3,4,1,2] => 13
[6,7,4,2,1,5,3] => [4,5,6,7,3,2,1] => [7,6,5,1,2,3,4] => 9
[6,7,4,3,5,2,1] => [5,6,7,4,3,2,1] => [7,6,5,4,1,2,3] => 12
[6,7,4,5,1,2,3] => [5,6,7,4,3,2,1] => [7,6,5,4,1,2,3] => 12
[6,7,4,5,2,3,1] => [6,7,5,4,3,2,1] => [7,6,5,4,3,1,2] => 14
[6,7,4,5,3,1,2] => [6,7,5,4,3,2,1] => [7,6,5,4,3,1,2] => 14
[6,7,4,5,3,2,1] => [7,6,5,4,3,2,1] => [7,6,5,4,3,2,1] => 15
[6,7,5,1,3,4,2] => [6,4,7,5,3,2,1] => [7,6,5,3,4,1,2] => 13
[6,7,5,1,4,2,3] => [6,4,7,5,3,2,1] => [7,6,5,3,4,1,2] => 13
[6,7,5,2,1,3,4] => [4,5,6,7,3,2,1] => [7,6,5,1,2,3,4] => 9
[6,7,5,3,2,4,1] => [5,6,7,4,3,2,1] => [7,6,5,4,1,2,3] => 12
[6,7,5,3,4,1,2] => [6,7,5,4,3,2,1] => [7,6,5,4,3,1,2] => 14
[6,7,5,3,4,2,1] => [7,6,5,4,3,2,1] => [7,6,5,4,3,2,1] => 15
[6,7,5,4,2,1,3] => [5,6,7,4,3,2,1] => [7,6,5,4,1,2,3] => 12
[6,7,5,4,2,3,1] => [7,6,5,4,3,2,1] => [7,6,5,4,3,2,1] => 15
[6,7,5,4,3,1,2] => [7,6,5,4,3,2,1] => [7,6,5,4,3,2,1] => 15
[6,7,5,4,3,2,1] => [6,7,5,4,3,2,1] => [7,6,5,4,3,1,2] => 14
[7,1,2,3,4,5,6] => [2,3,4,5,6,7,1] => [7,1,2,3,4,5,6] => 0
[7,1,2,3,5,4,6] => [2,3,4,6,5,7,1] => [7,2,3,4,5,1,6] => 4
[7,1,2,4,3,5,6] => [2,3,5,4,6,7,1] => [7,2,3,4,1,5,6] => 3
[7,1,3,2,4,5,6] => [2,4,3,5,6,7,1] => [7,2,3,1,4,5,6] => 2
[7,2,1,3,4,5,6] => [3,2,4,5,6,7,1] => [7,2,1,3,4,5,6] => 1
[7,2,1,4,3,5,6] => [3,2,5,4,6,7,1] => [7,3,2,4,1,5,6] => 4
[7,2,3,1,4,5,6] => [3,4,2,5,6,7,1] => [7,3,1,2,4,5,6] => 2
[7,2,3,4,1,5,6] => [3,4,5,2,6,7,1] => [7,4,1,2,3,5,6] => 3
[7,2,3,4,5,1,6] => [3,4,5,6,2,7,1] => [7,5,1,2,3,4,6] => 4
[7,2,3,4,5,6,1] => [3,4,5,6,7,2,1] => [7,6,1,2,3,4,5] => 5
[7,2,5,1,6,4,3] => [6,4,2,7,5,3,1] => [7,5,6,3,4,1,2] => 12
[7,2,5,4,1,6,3] => [4,5,6,2,7,3,1] => [7,5,6,1,2,3,4] => 8
[7,2,6,1,4,5,3] => [6,4,2,7,5,3,1] => [7,5,6,3,4,1,2] => 12
[7,2,6,1,5,3,4] => [6,4,2,7,5,3,1] => [7,5,6,3,4,1,2] => 12
[7,2,6,4,1,3,5] => [4,5,6,2,7,3,1] => [7,5,6,1,2,3,4] => 8
[7,3,1,2,4,5,6] => [3,4,2,5,6,7,1] => [7,3,1,2,4,5,6] => 2
[7,3,1,4,2,5,6] => [3,4,5,2,6,7,1] => [7,4,1,2,3,5,6] => 3
[7,3,1,4,5,2,6] => [3,4,5,6,2,7,1] => [7,5,1,2,3,4,6] => 4
[7,3,1,4,5,6,2] => [3,4,5,6,7,2,1] => [7,6,1,2,3,4,5] => 5
[7,3,2,1,4,5,6] => [4,3,2,5,6,7,1] => [7,3,2,1,4,5,6] => 3
[7,3,2,4,1,5,6] => [4,3,5,2,6,7,1] => [7,4,2,1,3,5,6] => 4
[7,3,4,5,6,2,1] => [4,5,6,7,3,2,1] => [7,6,5,1,2,3,4] => 9
[7,3,4,6,5,1,2] => [4,5,6,7,3,2,1] => [7,6,5,1,2,3,4] => 9
[7,3,5,2,1,6,4] => [4,5,6,2,7,3,1] => [7,5,6,1,2,3,4] => 8
[7,3,6,2,1,4,5] => [4,5,6,2,7,3,1] => [7,5,6,1,2,3,4] => 8
[7,4,1,2,3,5,6] => [3,4,5,2,6,7,1] => [7,4,1,2,3,5,6] => 3
[7,4,1,2,5,3,6] => [3,4,5,6,2,7,1] => [7,5,1,2,3,4,6] => 4
[7,4,1,2,5,6,3] => [3,4,5,6,7,2,1] => [7,6,1,2,3,4,5] => 5
[7,4,2,1,3,5,6] => [4,3,5,2,6,7,1] => [7,4,2,1,3,5,6] => 4
[7,4,2,5,6,3,1] => [4,5,6,7,3,2,1] => [7,6,5,1,2,3,4] => 9
[7,4,5,6,1,2,3] => [7,6,5,4,3,2,1] => [7,6,5,4,3,2,1] => 15
[7,4,5,6,1,3,2] => [6,7,5,4,3,2,1] => [7,6,5,4,3,1,2] => 14
[7,4,5,6,3,2,1] => [5,6,7,4,3,2,1] => [7,6,5,4,1,2,3] => 12
[7,4,6,2,5,1,3] => [6,7,5,4,3,2,1] => [7,6,5,4,3,1,2] => 14
[7,4,6,5,2,1,3] => [7,6,5,4,3,2,1] => [7,6,5,4,3,2,1] => 15
[7,4,6,5,2,3,1] => [5,6,7,4,3,2,1] => [7,6,5,4,1,2,3] => 12
[7,4,6,5,3,1,2] => [5,6,7,4,3,2,1] => [7,6,5,4,1,2,3] => 12
[7,5,1,2,3,4,6] => [3,4,5,6,2,7,1] => [7,5,1,2,3,4,6] => 4
[7,5,1,2,3,6,4] => [3,4,5,6,7,2,1] => [7,6,1,2,3,4,5] => 5
[7,5,2,3,6,4,1] => [4,5,6,7,3,2,1] => [7,6,5,1,2,3,4] => 9
[7,5,3,1,6,4,2] => [4,5,6,7,3,2,1] => [7,6,5,1,2,3,4] => 9
[7,5,3,6,4,2,1] => [5,6,7,4,3,2,1] => [7,6,5,4,1,2,3] => 12
[7,5,4,6,1,2,3] => [6,7,5,4,3,2,1] => [7,6,5,4,3,1,2] => 14
[7,5,4,6,1,3,2] => [7,6,5,4,3,2,1] => [7,6,5,4,3,2,1] => 15
[7,5,6,1,3,4,2] => [6,4,7,5,3,2,1] => [7,6,5,3,4,1,2] => 13
[7,5,6,1,4,2,3] => [6,4,7,5,3,2,1] => [7,6,5,3,4,1,2] => 13
[7,5,6,2,1,3,4] => [4,5,6,7,3,2,1] => [7,6,5,1,2,3,4] => 9
[7,5,6,3,2,4,1] => [5,6,7,4,3,2,1] => [7,6,5,4,1,2,3] => 12
[7,5,6,3,4,1,2] => [6,7,5,4,3,2,1] => [7,6,5,4,3,1,2] => 14
[7,5,6,3,4,2,1] => [7,6,5,4,3,2,1] => [7,6,5,4,3,2,1] => 15
[7,5,6,4,2,1,3] => [5,6,7,4,3,2,1] => [7,6,5,4,1,2,3] => 12
[7,5,6,4,2,3,1] => [7,6,5,4,3,2,1] => [7,6,5,4,3,2,1] => 15
[7,5,6,4,3,1,2] => [7,6,5,4,3,2,1] => [7,6,5,4,3,2,1] => 15
[7,5,6,4,3,2,1] => [6,7,5,4,3,2,1] => [7,6,5,4,3,1,2] => 14
[7,6,1,2,3,4,5] => [3,4,5,6,7,2,1] => [7,6,1,2,3,4,5] => 5
[7,6,2,3,4,5,1] => [4,5,6,7,3,2,1] => [7,6,5,1,2,3,4] => 9
[7,6,3,1,4,5,2] => [4,5,6,7,3,2,1] => [7,6,5,1,2,3,4] => 9
[7,6,3,4,5,2,1] => [5,6,7,4,3,2,1] => [7,6,5,4,1,2,3] => 12
[7,6,3,5,4,1,2] => [5,6,7,4,3,2,1] => [7,6,5,4,1,2,3] => 12
[7,6,4,1,2,5,3] => [4,5,6,7,3,2,1] => [7,6,5,1,2,3,4] => 9
[7,6,4,2,5,3,1] => [5,6,7,4,3,2,1] => [7,6,5,4,1,2,3] => 12
[7,6,4,5,2,1,3] => [5,6,7,4,3,2,1] => [7,6,5,4,1,2,3] => 12
[7,6,4,5,2,3,1] => [7,6,5,4,3,2,1] => [7,6,5,4,3,2,1] => 15
[7,6,4,5,3,1,2] => [7,6,5,4,3,2,1] => [7,6,5,4,3,2,1] => 15
[7,6,4,5,3,2,1] => [6,7,5,4,3,2,1] => [7,6,5,4,3,1,2] => 14
[7,6,5,1,2,3,4] => [4,5,6,7,3,2,1] => [7,6,5,1,2,3,4] => 9
[7,6,5,2,3,4,1] => [5,6,7,4,3,2,1] => [7,6,5,4,1,2,3] => 12
[7,6,5,3,1,4,2] => [5,6,7,4,3,2,1] => [7,6,5,4,1,2,3] => 12
[7,6,5,3,4,1,2] => [7,6,5,4,3,2,1] => [7,6,5,4,3,2,1] => 15
[7,6,5,3,4,2,1] => [6,7,5,4,3,2,1] => [7,6,5,4,3,1,2] => 14
[7,6,5,4,1,2,3] => [5,6,7,4,3,2,1] => [7,6,5,4,1,2,3] => 12
[7,6,5,4,2,3,1] => [6,7,5,4,3,2,1] => [7,6,5,4,3,1,2] => 14
[7,6,5,4,3,1,2] => [6,7,5,4,3,2,1] => [7,6,5,4,3,1,2] => 14
[7,6,5,4,3,2,1] => [7,6,5,4,3,2,1] => [7,6,5,4,3,2,1] => 15
[8,7,6,5,4,3,2,1] => [8,7,6,5,4,3,2,1] => [8,7,6,5,4,3,2,1] => 21
[5,6,7,8,4,3,2,1] => [5,6,7,8,4,3,2,1] => [8,7,6,5,1,2,3,4] => 15
[8,7,5,6,3,4,2,1] => [8,7,6,5,4,3,2,1] => [8,7,6,5,4,3,2,1] => 21
[8,6,7,5,4,2,3,1] => [8,7,6,5,4,3,2,1] => [8,7,6,5,4,3,2,1] => 21
[5,6,7,8,3,2,4,1] => [5,8,6,7,4,3,2,1] => [8,7,6,5,2,1,4,3] => 17
[8,5,6,7,2,3,4,1] => [8,7,6,5,4,3,2,1] => [8,7,6,5,4,3,2,1] => 21
[7,8,3,2,4,5,6,1] => [4,5,6,7,8,3,2,1] => [8,7,6,1,2,3,4,5] => 11
[5,4,6,3,7,2,8,1] => [5,4,6,3,7,2,8,1] => [8,6,4,2,1,3,5,7] => 9
[2,3,4,5,6,7,8,1] => [2,3,4,5,6,7,8,1] => [8,1,2,3,4,5,6,7] => 0
[7,8,6,5,4,3,1,2] => [8,7,6,5,4,3,2,1] => [8,7,6,5,4,3,2,1] => 21
[7,8,5,6,3,4,1,2] => [8,7,6,5,4,3,2,1] => [8,7,6,5,4,3,2,1] => 21
[5,6,7,8,3,4,1,2] => [5,6,7,8,4,3,2,1] => [8,7,6,5,1,2,3,4] => 15
[8,7,6,5,4,2,1,3] => [7,6,8,5,4,3,2,1] => [8,7,6,5,4,2,1,3] => 19
[5,6,7,8,4,2,1,3] => [5,8,6,7,4,3,2,1] => [8,7,6,5,2,1,4,3] => 17
[6,7,8,5,4,1,2,3] => [8,7,6,5,4,3,2,1] => [8,7,6,5,4,3,2,1] => 21
[7,8,6,5,2,1,3,4] => [5,6,7,8,4,3,2,1] => [8,7,6,5,1,2,3,4] => 15
[6,5,7,8,2,1,3,4] => [7,8,5,6,4,3,2,1] => [8,7,6,5,1,4,2,3] => 17
[8,7,6,5,1,2,3,4] => [5,6,7,8,4,3,2,1] => [8,7,6,5,1,2,3,4] => 15
[7,8,5,6,1,2,3,4] => [5,6,7,8,4,3,2,1] => [8,7,6,5,1,2,3,4] => 15
[7,6,5,8,1,2,3,4] => [6,7,8,5,4,3,2,1] => [8,7,6,5,4,1,2,3] => 18
[6,7,5,8,1,2,3,4] => [7,6,8,5,4,3,2,1] => [8,7,6,5,4,2,1,3] => 19
[7,5,6,8,1,2,3,4] => [7,6,8,5,4,3,2,1] => [8,7,6,5,4,2,1,3] => 19
[6,5,7,8,1,2,3,4] => [7,8,6,5,4,3,2,1] => [8,7,6,5,4,3,1,2] => 20
[5,6,7,8,1,2,3,4] => [8,7,6,5,4,3,2,1] => [8,7,6,5,4,3,2,1] => 21
[8,7,6,4,3,2,1,5] => [7,6,5,4,8,3,2,1] => [8,7,6,4,3,2,1,5] => 17
[8,7,6,4,2,1,3,5] => [6,5,7,4,8,3,2,1] => [8,7,6,4,2,1,3,5] => 15
[8,7,6,1,2,3,4,5] => [4,5,6,7,8,3,2,1] => [8,7,6,1,2,3,4,5] => 11
[8,6,5,4,3,2,1,7] => [7,6,5,4,3,2,8,1] => [8,6,5,4,3,2,1,7] => 15
[8,6,5,4,3,1,2,7] => [6,7,5,4,3,2,8,1] => [8,6,5,4,3,1,2,7] => 14
[8,5,6,3,4,1,2,7] => [6,7,5,4,3,2,8,1] => [8,6,5,4,3,1,2,7] => 14
[8,6,5,4,2,1,3,7] => [6,5,7,4,3,2,8,1] => [8,6,5,4,2,1,3,7] => 13
[8,6,4,3,2,1,5,7] => [6,5,4,3,7,2,8,1] => [8,6,4,3,2,1,5,7] => 11
[8,6,4,2,1,3,5,7] => [5,4,6,3,7,2,8,1] => [8,6,4,2,1,3,5,7] => 9
[8,1,2,3,4,5,6,7] => [2,3,4,5,6,7,8,1] => [8,1,2,3,4,5,6,7] => 0
[7,6,5,4,3,2,1,8] => [7,6,5,4,3,2,1,8] => [7,6,5,4,3,2,1,8] => 15
[7,5,6,3,4,2,1,8] => [7,6,5,4,3,2,1,8] => [7,6,5,4,3,2,1,8] => 15
[6,7,5,4,2,3,1,8] => [7,6,5,4,3,2,1,8] => [7,6,5,4,3,2,1,8] => 15
[5,6,7,2,3,4,1,8] => [7,6,5,4,3,2,1,8] => [7,6,5,4,3,2,1,8] => 15
[4,3,2,1,5,6,7,8] => [4,3,2,1,5,6,7,8] => [4,3,2,1,5,6,7,8] => 3
[1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[2,1,8,7,6,5,4,3] => [2,1,8,7,6,5,4,3] => [7,6,8,5,4,3,2,1] => 15
[4,3,2,1,8,7,6,5] => [4,3,2,1,8,7,6,5] => [7,6,5,4,8,3,2,1] => 15
[4,3,2,1,6,7,8,5] => [4,3,2,1,6,7,8,5] => [5,4,3,2,8,1,6,7] => 6
[2,1,4,3,8,7,6,5] => [2,1,4,3,8,7,6,5] => [6,5,7,4,8,3,2,1] => 10
[6,5,4,3,2,1,8,7] => [6,5,4,3,2,1,8,7] => [7,6,5,4,3,2,8,1] => 15
[2,1,6,5,4,3,8,7] => [2,1,6,5,4,3,8,7] => [6,5,7,4,3,2,8,1] => 10
[4,3,2,1,6,5,8,7] => [4,3,2,1,6,5,8,7] => [6,5,4,3,7,2,8,1] => 10
[2,1,4,3,6,5,8,7] => [2,1,4,3,6,5,8,7] => [5,4,6,3,7,2,8,1] => 6
[2,1,3,4,5,6,8,7] => [2,1,3,4,5,6,8,7] => [3,2,4,5,6,7,8,1] => 1
[2,1,4,3,7,8,5,6] => [2,1,4,3,8,7,6,5] => [6,5,7,4,8,3,2,1] => 10
[2,1,5,6,3,4,8,7] => [2,1,6,5,4,3,8,7] => [6,5,7,4,3,2,8,1] => 10
[2,1,6,7,8,3,4,5] => [2,1,8,7,6,5,4,3] => [7,6,8,5,4,3,2,1] => 15
[3,4,1,2,6,5,8,7] => [4,3,2,1,6,5,8,7] => [6,5,4,3,7,2,8,1] => 10
[3,4,1,2,7,8,5,6] => [4,3,2,1,8,7,6,5] => [7,6,5,4,8,3,2,1] => 15
[4,5,6,1,2,3,8,7] => [6,5,4,3,2,1,8,7] => [7,6,5,4,3,2,8,1] => 15
[5,3,2,6,1,4,8,7] => [6,3,2,5,4,1,8,7] => [7,5,3,6,4,2,8,1] => 12
[7,4,5,2,3,8,1,6] => [8,5,4,3,2,7,6,1] => [8,6,5,4,2,7,3,1] => 16
[6,4,5,2,3,1,8,7] => [6,5,4,3,2,1,8,7] => [7,6,5,4,3,2,8,1] => 15
[3,6,1,5,4,2,8,7] => [6,3,2,5,4,1,8,7] => [7,5,3,6,4,2,8,1] => 12
[5,6,4,3,1,2,8,7] => [6,5,4,3,2,1,8,7] => [7,6,5,4,3,2,8,1] => 15
[7,5,4,3,2,8,1,6] => [8,5,4,3,2,7,6,1] => [8,6,5,4,2,7,3,1] => 16
[6,7,4,3,8,1,2,5] => [8,7,4,3,6,5,2,1] => [8,7,5,2,6,4,3,1] => 17
[2,1,7,5,4,8,3,6] => [2,1,8,5,4,7,6,3] => [6,5,8,4,2,7,3,1] => 11
[6,8,4,3,7,1,5,2] => [5,8,6,7,4,3,2,1] => [8,7,6,5,2,1,4,3] => 17
[7,8,4,3,6,5,1,2] => [5,6,7,8,4,3,2,1] => [8,7,6,5,1,2,3,4] => 15
[3,8,1,6,7,4,5,2] => [8,3,2,7,6,5,4,1] => [8,6,4,7,5,3,2,1] => 18
[2,1,8,6,7,4,5,3] => [2,1,8,7,6,5,4,3] => [7,6,8,5,4,3,2,1] => 15
[5,7,6,8,1,3,2,4] => [8,7,6,5,4,3,2,1] => [8,7,6,5,4,3,2,1] => 21
[6,3,2,7,8,1,4,5] => [8,3,2,7,6,5,4,1] => [8,6,4,7,5,3,2,1] => 18
[4,3,2,1,7,8,5,6] => [4,3,2,1,8,7,6,5] => [7,6,5,4,8,3,2,1] => 15
[3,4,1,2,8,7,6,5] => [4,3,2,1,8,7,6,5] => [7,6,5,4,8,3,2,1] => 15
[5,3,2,8,1,7,6,4] => [8,3,2,5,4,7,6,1] => [8,5,3,6,2,7,4,1] => 13
[4,5,8,1,2,7,6,3] => [8,5,4,3,2,7,6,1] => [8,6,5,4,2,7,3,1] => 16
[2,1,5,8,3,7,6,4] => [2,1,8,5,4,7,6,3] => [6,5,8,4,2,7,3,1] => 11
[5,6,8,7,1,2,4,3] => [7,8,5,6,4,3,2,1] => [8,7,6,5,1,4,2,3] => 17
[6,5,8,7,2,1,4,3] => [8,7,6,5,4,3,2,1] => [8,7,6,5,4,3,2,1] => 21
[8,5,7,6,2,4,3,1] => [7,6,8,5,4,3,2,1] => [8,7,6,5,4,2,1,3] => 19
[4,7,8,1,6,5,2,3] => [8,7,4,3,6,5,2,1] => [8,7,5,2,6,4,3,1] => 17
[2,1,7,8,6,5,3,4] => [2,1,8,7,6,5,4,3] => [7,6,8,5,4,3,2,1] => 15
[3,8,1,7,6,5,4,2] => [8,3,2,7,6,5,4,1] => [8,6,4,7,5,3,2,1] => 18
[6,8,7,5,4,1,3,2] => [7,6,8,5,4,3,2,1] => [8,7,6,5,4,2,1,3] => 19
[7,5,8,2,6,1,3,4] => [6,8,7,4,5,3,2,1] => [8,7,6,1,5,3,4,2] => 16
[5,6,7,8,1,2,4,3] => [7,8,6,5,4,3,2,1] => [8,7,6,5,4,3,1,2] => 20
[5,6,7,8,2,1,4,3] => [7,8,5,6,4,3,2,1] => [8,7,6,5,1,4,2,3] => 17
[5,6,7,8,1,4,3,2] => [6,7,8,5,4,3,2,1] => [8,7,6,5,4,1,2,3] => 18
[6,3,8,2,1,7,5,4] => [4,8,5,2,6,7,3,1] => [8,5,7,2,1,3,6,4] => 11
[6,5,8,7,1,2,3,4] => [7,8,5,6,4,3,2,1] => [8,7,6,5,1,4,2,3] => 17
[5,8,4,1,2,7,3,6] => [5,4,8,7,6,3,1,2] => [1,8,7,5,4,6,3,2] => 13
[6,4,7,2,5,1,8,3] => [6,5,7,4,3,2,8,1] => [8,6,5,4,2,1,3,7] => 13
[6,5,8,7,2,1,3,4] => [7,8,6,5,4,3,2,1] => [8,7,6,5,4,3,1,2] => 20
[6,3,7,2,1,8,4,5] => [4,8,5,2,6,7,3,1] => [8,5,7,2,1,3,6,4] => 11
[4,3,2,1,7,5,8,6] => [4,3,2,1,6,7,8,5] => [5,4,3,2,8,1,6,7] => 6
[4,3,2,1,8,5,6,7] => [4,3,2,1,6,7,8,5] => [5,4,3,2,8,1,6,7] => 6
[2,5,1,8,3,7,6,4] => [8,3,1,5,4,7,6,2] => [6,8,3,5,2,7,4,1] => 9
[5,6,8,7,2,1,4,3] => [7,8,6,5,4,3,2,1] => [8,7,6,5,4,3,1,2] => 20
[4,2,5,8,7,1,6,3] => [4,2,7,6,8,3,5,1] => [8,4,1,5,7,3,2,6] => 9
[7,2,6,1,5,3,8,4] => [6,4,2,7,5,3,8,1] => [8,5,6,3,4,1,2,7] => 12
[7,4,5,3,8,2,1,6] => [8,6,4,3,7,2,5,1] => [8,1,6,5,7,2,4,3] => 11
[7,4,5,3,1,8,2,6] => [8,5,4,3,2,7,6,1] => [8,6,5,4,2,7,3,1] => 16
[7,5,8,2,4,6,1,3] => [8,7,6,5,4,3,2,1] => [8,7,6,5,4,3,2,1] => 21
[6,7,4,8,3,5,2,1] => [5,8,6,7,4,3,2,1] => [8,7,6,5,2,1,4,3] => 17
[5,6,7,3,2,8,4,1] => [7,5,6,4,3,8,2,1] => [8,7,5,4,1,3,2,6] => 14
[6,4,7,8,2,5,3,1] => [7,4,8,6,5,3,2,1] => [8,7,6,4,5,3,1,2] => 19
[6,4,7,8,2,1,5,3] => [8,7,5,6,3,4,2,1] => [8,7,1,6,2,5,4,3] => 13
[6,4,7,1,8,2,5,3] => [8,7,4,3,6,5,2,1] => [8,7,5,2,6,4,3,1] => 17
[6,4,7,8,3,5,2,1] => [6,4,8,7,5,3,2,1] => [8,7,6,4,5,2,3,1] => 19
[7,4,5,8,6,2,1,3] => [5,8,6,7,4,3,2,1] => [8,7,6,5,2,1,4,3] => 17
[3,2,6,1,4,8,7,5] => [5,2,4,1,6,8,7,3] => [6,3,8,4,2,5,7,1] => 7
[6,8,1,7,2,5,3,4] => [5,3,8,7,6,4,2,1] => [8,7,5,6,3,4,2,1] => 19
[4,6,1,2,3,8,7,5] => [4,3,5,6,1,8,7,2] => [7,8,3,2,4,5,6,1] => 6
[3,1,7,2,8,4,6,5] => [2,8,4,1,6,7,5,3] => [6,4,8,2,7,1,5,3] => 8
[1,6,8,7,3,4,5,2] => [1,8,6,7,5,4,3,2] => [6,8,7,5,4,1,3,2] => 13
[6,1,8,7,2,4,5,3] => [2,8,5,7,6,4,3,1] => [8,5,7,6,2,4,3,1] => 17
[5,4,6,1,7,3,8,2] => [6,5,4,3,7,2,8,1] => [8,6,4,3,2,1,5,7] => 11
[8,3,7,5,2,4,6,1] => [5,6,7,3,8,4,2,1] => [8,7,5,6,1,2,3,4] => 14
[8,2,4,6,5,3,1,7] => [3,5,7,6,4,2,8,1] => [8,6,3,5,2,4,1,7] => 12
[8,2,5,4,6,1,3,7] => [4,7,5,6,2,3,8,1] => [8,1,6,3,2,5,4,7] => 6
[2,1,7,8,5,6,4,3] => [2,1,8,7,6,5,4,3] => [7,6,8,5,4,3,2,1] => 15
[5,8,2,4,7,6,1,3] => [6,5,7,4,8,3,2,1] => [8,7,6,4,2,1,3,5] => 15
[8,7,5,4,1,6,2,3] => [5,8,6,7,4,3,2,1] => [8,7,6,5,2,1,4,3] => 17
[7,8,5,4,2,6,1,3] => [5,8,6,7,4,3,2,1] => [8,7,6,5,2,1,4,3] => 17
[7,5,3,1,8,6,4,2] => [4,5,6,7,8,3,2,1] => [8,7,6,1,2,3,4,5] => 11
[7,5,8,4,3,6,2,1] => [6,8,7,4,5,3,2,1] => [8,7,6,1,5,3,4,2] => 16
[3,1,8,2,4,7,6,5] => [2,5,4,1,8,7,6,3] => [7,5,8,4,3,6,2,1] => 12
search for individual values
searching the database for the individual values of this statistic
/ search for generating function
searching the database for statistics with the same generating function
click to show known generating functions       
Description
The difference in Coxeter length of a permutation and its image under the Simion-Schmidt map.
  • The Simion-Schmidt map takes a permutation and turns each occurrence of [3,2,1] into an occurrence of [3,1,2], thus reducing the number of inversions of the permutation. This statistic records the difference in length of the permutation and its image.
  • It is the number of pairs of positions for the pattern letters 2 and 1 in occurrences of 321 in a permutation. Thus, for a permutation $\pi$ this is the number of pairs $(j,k)$ such that there exists an index $i$ satisfying $i < j < k$ and $\pi(i) > \pi(j) > \pi(k)$. See also St000119The number of occurrences of the pattern 321 in a permutation. and St000371The number of mid points of decreasing subsequences of length 3 in a permutation..
  • Apparently, this statistic can be described as the number of occurrences of the mesh pattern ([3,2,1], {(0,3),(0,2)}). Equivalent mesh patterns are ([3,2,1], {(0,2),(1,2)}), ([3,2,1], {(0,3),(1,3)}) and ([3,2,1], {(1,2),(1,3)}).
Map
catalanization
Description
The catalanization of a permutation.
For a permutation $\sigma$, this is the product of the reflections corresponding to the inversions of $\sigma$ in lex-order.
A permutation is $231$-avoiding if and only if it is a fixpoint of this map. Also, for every permutation there exists an index $k$ such that the $k$-fold application of this map is $231$-avoiding.
Map
major-index to inversion-number bijection
Description
Return the permutation whose Lehmer code equals the major code of the preimage.
This map sends the major index to the number of inversions.